(* ::Package:: *)

(****************************************************************)
(*  This file contains expressions for the nine coproduct       *)
(*  entries of the complete basis of parity even weight 8       *)
(*  hexagon functions T1[u,v,w], ... , T102[u,v,w].              *)
(*                                                              *)
(*  The coproduct entries of the nth basis function Tn[u,v,w]   *)
(*  can be extracted from the provided expressions by isolating *)
(*  the coefficient of t[n] in each expression. For instance,   *)
(*  the w coproduct entry of T1[u,v,w], denoted by              *)
(*  T1[u,v,w]^w, can be extracted in Mathematica using          *)
(*                                                              *)
(*       TuvwCoproductEntriet[w]/.t[1]->1/.t[_]->0              *)
(*                                                              *)
(****************************************************************)

TuvwCoproductEntriet[1 - u] = D5[u, w, v]*t[6] + B1[w, v, u]*HPL[{1}, 1 - v]*
      t[6] - B1[w, v, u]*HPL[{1}, 1 - w]*t[6] - B1[u, w, v]*HPL[{1}, 1 - v]*
      t[9] + B1[u, w, v]*HPL[{1}, 1 - w]*t[9] + B4[u, v, w]*HPL[{1}, 1 - v]*
      t[10] - B4[u, v, w]*HPL[{1}, 1 - w]*t[10] + 
     B11[u, v, w]*HPL[{1}, 1 - v]*(-t[1] - 2*t[6] - t[13]/6) + 
     D24[u, v, w]*(t[6]/2 - t[13]/12) + B11[u, v, w]*HPL[{1}, 1 - w]*
      (t[1] + 2*t[6] + t[13]/6) - (D14[u, v, w]*t[13])/9 + 
     B1[v, w, u]*HPL[{1}, 1 - v]*t[13] - B1[v, w, u]*HPL[{1}, 1 - w]*t[13] + 
     B10[u, v, w]*HPL[{1}, 1 - w]*(-t[4] - t[5] - t[6] - t[7] - 4*t[8] + 
       t[10] + 2*t[12] - t[13]/2 + t[14]/3 - (4*t[15])/3) + 
     B10[u, v, w]*HPL[{1}, 1 - v]*(t[4] + t[5] + t[6] + t[7] + 4*t[8] - 
       t[10] - 2*t[12] + t[13]/2 - t[14]/3 + (4*t[15])/3) + 
     D2[u, v, w]*t[18] + D13[v, w, u]*t[22] + D3[u, w, v]*t[32] + 
     D5[v, u, w]*t[34] + D4[u, w, v]*t[40] + D4[w, v, u]*t[41] + 
     D1[v, u, w]*t[42] + D9[u, w, v]*t[43] + D17[w, u, v]*t[45] + 
     D18[w, u, v]*t[47] + D16[v, w, u]*(-t[7] + t[8] + t[10] + t[52]) + 
     B9[u, v, w]*HPL[{1}, 1 - v]*(t[3] + (3*t[4])/2 + (3*t[5])/2 + 
       (19*t[6])/4 + (11*t[8])/2 - (5*t[9])/2 - (21*t[10])/4 + (5*t[11])/4 - 
       (7*t[12])/4 - (7*t[14])/8 - (7*t[15])/6 - 2*t[27] - t[46] + 
       (7*t[48])/4 + (7*t[49])/4 - t[50]/4 - t[51]/8 + t[52]/4 - 
       (7*t[53])/4 - (5*t[54])/4) + B8[u, v, w]*HPL[{1}, 1 - v]*
      (-t[3]/4 - (7*t[5])/4 - 2*t[6] + (7*t[7])/2 - (9*t[8])/2 + t[9] - 
       3*t[10] - t[12] - (4*t[13])/3 - (29*t[14])/24 + (3*t[15])/8 + t[44] + 
       t[46]/2 - t[48]/4 + t[49]/2 + (3*t[50])/4 - (3*t[51])/8 - 
       (3*t[52])/4 - t[53]/2 - (5*t[54])/4) + B7[u, v, w]*HPL[{1}, 1 - w]*
      (t[3]/4 + t[4]/4 + t[5] + t[6]/8 - (3*t[7])/2 + t[8] - t[9]/4 + 
       (7*t[10])/8 + (7*t[11])/8 - t[12]/8 + (5*t[14])/16 - t[15]/24 + 
       (7*t[48])/8 + t[49]/8 - t[50]/8 - t[51]/16 + t[52]/8 - t[53]/8 - 
       (5*t[54])/8) + HPL[{1}, 1 - w]*Phi6[u, v, w]^2*
      ((-3*t[2])/8 + t[3]/4 - (23*t[4])/8 + (9*t[5])/8 - (15*t[6])/16 + 
       (3*t[7])/4 - (7*t[8])/4 - (5*t[9])/4 + (3*t[10])/16 - (5*t[11])/16 + 
       (5*t[12])/16 - (25*t[13])/24 + (21*t[14])/32 + (19*t[15])/16 + 
       t[31]/2 + t[35] + t[43]/4 + t[44]/2 + t[45]/2 + t[46]/2 - 
       (3*t[47])/2 + t[48]/16 + t[49]/16 + t[50]/16 - (5*t[51])/32 - 
       t[52]/16 - t[53]/16 - (3*t[54])/16) + HPL[{1}, 1 - v]*Phi6[u, v, w]^2*
      ((3*t[2])/8 - t[3]/4 + (23*t[4])/8 - (9*t[5])/8 + (15*t[6])/16 - 
       (3*t[7])/4 + (7*t[8])/4 + (5*t[9])/4 - (3*t[10])/16 + (5*t[11])/16 - 
       (5*t[12])/16 + (25*t[13])/24 - (21*t[14])/32 - (19*t[15])/16 - 
       t[31]/2 - t[35] - t[43]/4 - t[44]/2 - t[45]/2 - t[46]/2 + 
       (3*t[47])/2 - t[48]/16 - t[49]/16 - t[50]/16 + (5*t[51])/32 + 
       t[52]/16 + t[53]/16 + (3*t[54])/16) + B7[u, v, w]*HPL[{1}, 1 - v]*
      (-t[3]/4 - t[4]/4 - t[5] - t[6]/8 + (3*t[7])/2 - t[8] + t[9]/4 - 
       (7*t[10])/8 - (7*t[11])/8 + t[12]/8 - (5*t[14])/16 + t[15]/24 - 
       (7*t[48])/8 - t[49]/8 + t[50]/8 + t[51]/16 - t[52]/8 + t[53]/8 + 
       (5*t[54])/8) + F1[w, u, v]*Phi6[u, v, w]*((-3*t[2])/8 - (3*t[3])/4 + 
       (3*t[5])/4 + t[6]/4 - (5*t[7])/2 + (11*t[8])/4 - (29*t[9])/8 + 
       t[10]/2 - t[11]/4 - (5*t[12])/8 - (7*t[13])/12 + (27*t[14])/16 + 
       (19*t[15])/16 - t[32]/2 + t[33]/2 + t[35] - t[36]/2 - t[39]/2 + 
       t[40]/2 + t[46]/4 - t[47]/2 + (5*t[48])/4 + (5*t[49])/4 - 
       (5*t[50])/4 - (11*t[51])/16 + (5*t[52])/4 - (5*t[53])/4 + 
       (5*t[54])/4) + B8[u, v, w]*HPL[{1}, 1 - w]*(t[3]/4 + (7*t[5])/4 + 
       2*t[6] - (7*t[7])/2 + (9*t[8])/2 - t[9] + 3*t[10] + t[12] + 
       (4*t[13])/3 + (29*t[14])/24 - (3*t[15])/8 - t[44] - t[46]/2 + 
       t[48]/4 - t[49]/2 - (3*t[50])/4 + (3*t[51])/8 + (3*t[52])/4 + 
       t[53]/2 + (5*t[54])/4) + B9[u, v, w]*HPL[{1}, 1 - w]*
      (-t[3] - (3*t[4])/2 - (3*t[5])/2 - (19*t[6])/4 - (11*t[8])/2 + 
       (5*t[9])/2 + (21*t[10])/4 - (5*t[11])/4 + (7*t[12])/4 + (7*t[14])/8 + 
       (7*t[15])/6 + 2*t[27] + t[46] - (7*t[48])/4 - (7*t[49])/4 + t[50]/4 + 
       t[51]/8 - t[52]/4 + (7*t[53])/4 + (5*t[54])/4) + D28[v, w, u]*t[56] + 
     F1[v, w, u]*Phi6[u, v, w]*((3*t[2])/8 + (3*t[3])/4 - (3*t[5])/4 - 
       t[6]/4 + (5*t[7])/2 - (11*t[8])/4 + (29*t[9])/8 - t[10]/2 + t[11]/4 + 
       (5*t[12])/8 + (7*t[13])/12 - (27*t[14])/16 - (19*t[15])/16 + t[32]/2 - 
       t[33]/2 - t[35] + t[36]/2 + t[39]/2 - t[40]/2 - t[46]/4 + t[47]/2 - 
       (5*t[48])/4 - (5*t[49])/4 + (5*t[50])/4 + (11*t[51])/16 - 
       (5*t[52])/4 + (5*t[53])/4 - (5*t[54])/4 - t[57]) + 
     D30[v, w, u]*t[57] + D3[v, w, u]*(t[1] - (2*t[13])/3 - t[59]) + 
     D3[w, v, u]*(-2*t[6] + t[13]/3 + t[42] - t[59]) + 
     D2[w, u, v]*(-t[1]/2 + t[13]/6 + t[59]/2) + 
     D2[v, u, w]*(t[6]/2 + t[13]/6 - t[42]/2 + t[59]/2) + 
     4*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*t[59] + 
     4*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*t[59] + 
     32*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - w]*t[59] + 
     HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - v]*(-32*t[1] + 32*t[59]) + 
     D7[u, v, w]*(-t[6] - t[61]) + B1[v, u, w]*HPL[{1}, 1 - w]*
      (t[12] - t[61]) + D7[u, w, v]*(t[13] - t[61]) - 
     B1[w, u, v]*HPL[{1}, 1 - v]*t[61] + B1[w, u, v]*HPL[{1}, 1 - w]*t[61] + 
     D7[w, u, v]*(-t[12] + t[61]) + B1[v, u, w]*HPL[{1}, 1 - v]*
      (-t[12] + t[61]) + D4[v, u, w]*(-t[13] + t[61]) + 
     D7[v, u, w]*(t[14] + t[61]) + D4[w, u, v]*(t[6] + t[23] + t[61]) + 
     B4[v, w, u]*HPL[{1}, 1 - w]*(t[7] - t[10] - t[63]) - 
     B4[w, u, v]*HPL[{1}, 1 - v]*t[63] + B4[w, u, v]*HPL[{1}, 1 - w]*t[63] + 
     B4[v, w, u]*HPL[{1}, 1 - v]*(-t[7] + t[10] + t[63]) + 
     D16[u, v, w]*(t[10] - 2*t[11] - 2*t[64]) + 
     D11[u, v, w]*(t[4] - t[12] + t[60] - t[65]) + 
     D11[u, w, v]*(-t[3] + t[14] + t[15]/6 + t[60] - t[65]) + 
     B2[w, v, u]*HPL[{1}, 1 - v]*(t[4] - t[12] - (2*t[65])/3) + 
     B2[v, w, u]*HPL[{1}, 1 - w]*((2*t[14])/3 - (2*t[65])/3) + 
     D10[v, w, u]*(t[2] + t[7] - t[8] + t[9] + t[10] + (2*t[14])/3 - 
       t[15]/6 - t[62] + t[63] - t[64] - (2*t[65])/3) + 
     D10[w, v, u]*(-t[4] + t[5] - t[9] - t[12] + t[15]/2 + t[43] - t[62] + 
       t[63] - t[64] - (2*t[65])/3) + B2[v, u, w]*HPL[{1}, 1 - v]*
      (t[60] - t[65]/3) + B2[w, u, v]*HPL[{1}, 1 - w]*(t[60] - t[65]/3) + 
     B2[w, u, v]*HPL[{1}, 1 - v]*(-t[60] + t[65]/3) + 
     B2[v, u, w]*HPL[{1}, 1 - w]*(-t[60] + t[65]/3) + 
     B2[w, v, u]*HPL[{1}, 1 - w]*(-t[4] + t[12] + (2*t[65])/3) + 
     B2[v, w, u]*HPL[{1}, 1 - v]*((-2*t[14])/3 + (2*t[65])/3) + 
     D22[v, w, u]*(t[1]/2 - t[12]/2 - t[13]/6 - t[59]/2 - t[61]/2 + 
       (2*t[65])/3) + D22[w, u, v]*(t[2]/2 - t[6]/2 - t[13]/6 - (2*t[14])/3 - 
       t[15]/3 - t[41]/2 + t[42]/2 - t[59]/2 - t[61]/2 + (2*t[65])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*(-16*t[1] + 64*t[12] + 
       16*t[59] - 64*t[60] + (128*t[65])/3) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*(-64*t[2] + 64*t[3] - (112*t[14])/3 + 
       16*t[15] + 16*t[59] - 64*t[60] + (128*t[65])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*(5*t[13] - 16*t[59] - 
       20*t[66]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*
      (t[1] + 10*t[13] - 16*t[59] - 20*t[66]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-6*t[1] + 6*t[6] + (8*t[13])/3 - 12*t[66]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (-2*t[1] + (2*t[13])/3 - 6*t[59] - (16*t[66])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (10*t[6] + (10*t[13])/3 + 2*t[42] - 6*t[59] - (16*t[66])/3) + 
     B2[u, w, v]*HPL[{1}, 1 - w]*(-t[6] + t[13]/6 - 2*t[66]) + 
     D11[v, w, u]*(-t[6] + t[11] + t[13]/6 - 2*t[66]) + 
     D11[w, v, u]*((2*t[13])/3 - 2*t[66]) + B2[u, v, w]*HPL[{1}, 1 - v]*
      ((2*t[13])/3 - 2*t[66]) + B3[w, u, v]*HPL[{1}, 1 - w]*
      (t[13]/3 - (4*t[66])/3) + B3[v, w, u]*HPL[{1}, 1 - v]*
      (-t[1] + (2*t[13])/3 - (4*t[66])/3) + D19[v, w, u]*
      (-t[1] + t[12] + (2*t[13])/3 - (2*t[65])/3 - (4*t[66])/3) + 
     D19[w, u, v]*(-t[2] + t[13]/3 + (2*t[14])/3 + t[15]/3 - (2*t[65])/3 - 
       (4*t[66])/3) + D24[v, w, u]*(t[3]/2 - t[5]/4 + t[7]/2 - t[8]/2 + 
       t[9]/4 - t[10]/2 + t[11]/2 + t[12]/4 - t[14]/4 - (7*t[15])/24 + 
       2*t[61] - 2*t[62] + t[65] - t[66]) + D24[w, u, v]*
      (-t[3]/2 - t[4] + t[5]/4 + t[6]/2 + t[7]/2 + (3*t[8])/2 + (3*t[9])/4 + 
       (3*t[10])/2 + t[11]/2 + (3*t[12])/4 + t[13]/4 + (11*t[14])/12 + 
       (7*t[15])/24 + 2*t[61] - 2*t[62] + t[65] - t[66]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]*
      (t[1]/12 + t[12]/12 - (11*t[13])/36 - t[61]/4 - t[62]/12 + t[64]/4 - 
       t[65]/9 - t[66]/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*
      (t[6]/12 + t[8]/4 - t[13]/72 + t[14]/9 - t[61]/4 - t[62]/12 + t[64]/4 - 
       t[65]/9 - t[66]/6) + HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - w]*
      (t[13]/36 + t[59]/12 - t[66]/9) + HPL[{1}, 1 - v]^4*
      HPL[{0, 1, 1}, 1 - v]*(t[13]/18 + t[59]/12 - t[66]/9) + 
     B3[v, w, u]*HPL[{1}, 1 - w]*(t[1] - (2*t[13])/3 + (4*t[66])/3) + 
     B3[w, u, v]*HPL[{1}, 1 - v]*(-t[13]/3 + (4*t[66])/3) + 
     D10[u, v, w]*((-2*t[13])/3 + 2*t[66]) + B2[u, v, w]*HPL[{1}, 1 - w]*
      ((-2*t[13])/3 + 2*t[66]) + B2[u, w, v]*HPL[{1}, 1 - v]*
      (t[6] - t[13]/6 + 2*t[66]) + D10[u, w, v]*(t[6] - t[11] - t[13]/6 + 
       2*t[66]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - v]*
      ((2*t[13])/3 + 3*t[59] + 2*t[66]) + D21[v, w, u]*
      (-t[5]/2 + t[9]/2 + t[10] - t[11] - t[12]/2 - t[13] - t[14]/6 - 
       t[15]/4 - t[61] - 2*t[64] + 4*t[66]) + 
     D21[w, u, v]*(t[2] + t[5]/2 + t[6] - t[9]/2 + t[10] - t[11] - t[12]/2 - 
       t[13]/2 + t[14]/6 + t[15]/4 - t[61] - 2*t[64] + 4*t[66]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*(12*t[1] - 60*t[12] + 
       (8*t[13])/3 - 16*t[59] + 64*t[60] - (136*t[65])/3 - (8*t[66])/3 - 
       4*t[71]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*
      (64*t[2] - 64*t[3] + (112*t[14])/3 - 16*t[15] - 4*t[32] + 8*t[34] - 
       16*t[59] + 64*t[60] - (136*t[65])/3 - (8*t[66])/3 - 4*t[71]) + 
     D1[u, v, w]*((2*t[65])/3 + (2*t[66])/3 + t[71]) + 
     D1[u, w, v]*(t[1] - t[12] - (2*t[13])/3 + (2*t[65])/3 + (2*t[66])/3 + 
       t[71]) + 2*D19[u, v, w]*t[77] + 2*D20[u, v, w]*t[80] + 
     D6[u, v, w]*t[82] + D6[u, w, v]*t[82] + D20[w, u, v]*
      (t[4] - (3*t[5])/2 - t[7]/2 - t[8]/2 + t[9] + (3*t[10])/2 - t[11] + 
       t[12]/2 - (4*t[13])/9 - t[14]/6 - t[15]/2 - t[43]/2 - t[61] + 
       (3*t[62])/2 + t[63]/2 - (7*t[64])/2 + 2*t[66] - 2*t[80] - 2*t[86]) + 
     D20[v, w, u]*(t[5]/2 - t[7] - (3*t[9])/2 + 2*t[10] - t[11] - t[12]/2 - 
       (4*t[13])/9 + t[14]/6 + (3*t[15])/4 + t[45] - 2*t[47] - t[61] + 
       (3*t[62])/2 + t[63]/2 - (7*t[64])/2 + 2*t[66] - 2*t[80] - 2*t[86]) + 
     D12[w, u, v]*(-t[62]/2 - t[63]/2 + t[64]/2 + 2*t[86]) + 
     D12[v, u, w]*(t[4] - t[5] + t[7]/2 + t[8]/2 + t[9]/2 - t[10]/2 - 
       t[15]/4 - t[43]/2 - t[62]/2 - t[63]/2 + t[64]/2 + 2*t[86]) + 
     D23[u, v, w]*(t[7] + t[8] + t[9]/2 - t[10] - 2*t[62] - 2*t[63] + 
       2*t[64] + 4*t[86]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*
      (-10*t[2] + 4*t[3] + 2*t[9] + (4*t[13])/3 - (112*t[14])/3 + 
       (8*t[15])/3 - 6*t[32] + 12*t[34] + 4*t[59] - 64*t[60] - 2*t[61] + 
       12*t[64] + (104*t[65])/3 - (28*t[66])/3 - 6*t[71] + 16*t[87] + 
       8*t[88]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*
      (-22*t[1] - 24*t[4] + 70*t[12] + (20*t[13])/3 - 10*t[38] + 20*t[53] + 
       4*t[59] - 64*t[60] - 2*t[61] + 12*t[64] + (104*t[65])/3 - 
       (28*t[66])/3 - 6*t[71] + 16*t[87] + 8*t[88]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w]*(232*t[1] + 80*t[3] + 1120*t[4] - 
       640*t[5] - 80*t[6] - 80*t[7] - 240*t[8] - 240*t[10] - 928*t[12] - 
       (920*t[13])/3 - (400*t[14])/3 - 160*t[15] + 80*t[38] - 80*t[40] - 
       160*t[53] - 112*t[59] + 608*t[60] + 80*t[61] + 320*t[62] + 320*t[63] - 
       400*t[64] - (2816*t[65])/3 + (1040*t[66])/3 - 80*t[77] - 80*t[84] - 
       160*t[87] - 80*t[88] - 80*t[89]) + HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - v]*
      (448*t[2] - 608*t[3] + 80*t[6] + 240*t[7] - 240*t[8] - 160*t[9] + 
       160*t[10] - 80*t[11] - 80*t[12] - (760*t[13])/3 + (1424*t[14])/3 - 
       (296*t[15])/3 + 80*t[23] + 80*t[40] - 40*t[41] + 40*t[42] + 80*t[49] - 
       40*t[51] - 160*t[52] - 80*t[53] - 112*t[59] + 608*t[60] + 80*t[61] + 
       320*t[62] + 320*t[63] - 400*t[64] - (2816*t[65])/3 + (1040*t[66])/3 - 
       80*t[77] - 80*t[84] - 160*t[87] - 80*t[88] - 80*t[89]) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w]*(120*t[1] + 48*t[3] + 576*t[4] - 
       318*t[5] - 48*t[6] - 50*t[7] - 142*t[8] - 17*t[9] - 144*t[10] - 
       465*t[12] - (487*t[13])/3 - 80*t[14] - (253*t[15])/3 + 48*t[38] - 
       33*t[40] - 96*t[53] - 63*t[59] + 288*t[60] + 16*t[61] + 194*t[62] + 
       190*t[63] - 206*t[64] - (1466*t[65])/3 + 188*t[66] - 48*t[77] - 
       48*t[84] - 96*t[87] - 48*t[88] - 48*t[89]) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - v]*(222*t[2] - 288*t[3] + 33*t[6] + 
       144*t[7] - 144*t[8] - 79*t[9] + 62*t[10] - 50*t[11] - 48*t[12] - 
       (406*t[13])/3 + 225*t[14] - 45*t[15] + 48*t[23] + 48*t[40] - 
       24*t[41] + 24*t[42] + 48*t[49] - 24*t[51] - 96*t[52] - 48*t[53] - 
       63*t[59] + 288*t[60] + 16*t[61] + 194*t[62] + 190*t[63] - 206*t[64] - 
       (1466*t[65])/3 + 188*t[66] - 48*t[77] - 48*t[84] - 96*t[87] - 
       48*t[88] - 48*t[89]) + HPL[{1}, 1 - v]^2*Qep[v, w, u]*
      ((-64*t[1])/9 + (44*t[3])/3 - 36*t[4] + (68*t[5])/3 + (34*t[6])/3 + 
       (46*t[7])/3 + 34*t[8] + (8*t[9])/3 - (50*t[10])/3 + (74*t[11])/3 + 
       4*t[12] + (460*t[13])/27 - (62*t[14])/9 - (53*t[15])/9 + 
       (16*t[31])/3 + (10*t[43])/3 - (14*t[48])/3 - (14*t[50])/3 + 
       (14*t[52])/3 + (14*t[54])/3 - (80*t[59])/9 + 4*t[60] + (112*t[61])/3 - 
       (340*t[62])/3 - (244*t[63])/3 + (532*t[64])/3 + (104*t[65])/9 - 
       120*t[66] + (80*t[79])/3 + (208*t[80])/3 + (8*t[81])/3 - (8*t[82])/3 + 
       (28*t[85])/3 + 168*t[86] - (28*t[87])/3 - (14*t[88])/3 - 
       (50*t[89])/3) + HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w]*
      (40*t[1] + 16*t[3] + 192*t[4] - 108*t[5] - 16*t[6] - 20*t[7] - 
       44*t[8] - 10*t[9] - 48*t[10] - 154*t[12] - (158*t[13])/3 - 
       (80*t[14])/3 - (82*t[15])/3 + 16*t[38] - 10*t[40] - 32*t[53] - 
       22*t[59] + 96*t[60] + 68*t[62] + 60*t[63] - 76*t[64] - (484*t[65])/3 + 
       (184*t[66])/3 - 16*t[77] - 16*t[84] - 32*t[87] - 16*t[88] - 
       16*t[89]) + HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - v]*
      (76*t[2] - 96*t[3] + 10*t[6] + 48*t[7] - 48*t[8] - 22*t[9] + 28*t[10] - 
       20*t[11] - 16*t[12] - 44*t[13] + 74*t[14] - (46*t[15])/3 + 16*t[23] + 
       16*t[40] - 8*t[41] + 8*t[42] + 16*t[49] - 8*t[51] - 32*t[52] - 
       16*t[53] - 22*t[59] + 96*t[60] + 68*t[62] + 60*t[63] - 76*t[64] - 
       (484*t[65])/3 + (184*t[66])/3 - 16*t[77] - 16*t[84] - 32*t[87] - 
       16*t[88] - 16*t[89]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - u]*(t[1]/6 + 10*t[3] + (41*t[4])/4 - 
       (61*t[5])/8 - (75*t[6])/8 - (13*t[7])/8 - (129*t[8])/8 + (37*t[9])/8 - 
       (133*t[10])/8 + (55*t[11])/8 + (17*t[12])/8 - (13*t[13])/18 - 
       (149*t[14])/24 - (239*t[15])/24 - t[31] + t[40] - (35*t[43])/8 - 
       (5*t[45])/2 - t[46]/2 + 5*t[47] - (3*t[48])/8 + 2*t[49] + 
       (13*t[50])/8 - (5*t[51])/8 - (13*t[52])/8 - 2*t[53] - (13*t[54])/8 + 
       (5*t[59])/6 + (19*t[60])/4 + (19*t[61])/2 - (13*t[62])/2 + 4*t[63] + 
       3*t[64] + t[65]/6 - (77*t[66])/6 + t[72] - t[74] - t[77] + 10*t[80] - 
       t[81]/2 + t[82]/2 + t[84]/2 - (5*t[85])/4 + (3*t[86])/2 - 
       (23*t[87])/4 - (23*t[88])/8 - (97*t[89])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*
      (-3*t[2] - (17*t[3])/2 - (51*t[4])/4 + (49*t[5])/8 + (13*t[6])/3 + 
       (9*t[7])/2 + (91*t[8])/4 + 5*t[9] + (79*t[10])/8 + (19*t[11])/2 + 
       (11*t[12])/2 + (253*t[13])/36 + (171*t[14])/16 + (275*t[15])/48 - 
       t[18]/3 + t[20] + t[32] + t[34] - (5*t[42])/6 - 2*t[43] + 
       (7*t[45])/4 + (7*t[47])/2 - 2*t[48] - t[49]/8 + 2*t[50] + t[51]/16 - 
       2*t[52] + t[53]/8 - (3*t[54])/4 + (5*t[59])/6 + (19*t[60])/4 + 
       (19*t[61])/2 - (13*t[62])/2 + 4*t[63] + 3*t[64] + t[65]/6 - 
       (77*t[66])/6 + t[72] - t[74] - t[77] + 10*t[80] - t[81]/2 + t[82]/2 + 
       t[84]/2 - (5*t[85])/4 + (3*t[86])/2 - (23*t[87])/4 - (23*t[88])/8 - 
       (97*t[89])/8) + HPL[{1}, 1 - w]^2*Qep[v, w, u]*
      ((28*t[2])/3 - 16*t[3] - 48*t[5] - (152*t[6])/9 + 76*t[7] + 100*t[8] + 
       (316*t[9])/3 - 124*t[10] + (272*t[11])/3 + (116*t[12])/3 + 
       (1172*t[13])/27 - (386*t[15])/9 + (16*t[18])/9 - (16*t[41])/3 + 
       (56*t[42])/9 - (32*t[43])/3 - (16*t[45])/3 + (224*t[47])/3 + 
       (16*t[48])/3 - (16*t[50])/3 + (16*t[52])/3 + (16*t[54])/3 - 
       (56*t[59])/9 - (32*t[60])/3 + 64*t[61] - (512*t[62])/3 - 
       (352*t[63])/3 + (944*t[64])/3 + (64*t[65])/3 - (1712*t[66])/9 + 
       (16*t[74])/3 + (80*t[79])/3 + (416*t[80])/3 + (752*t[86])/3 + 
       (32*t[87])/3 + (16*t[88])/3 - (32*t[89])/3) + 
     D34[w, u, v]*(-t[1] + (3*t[2])/2 + (3*t[3])/4 - (5*t[4])/2 - 
       (7*t[5])/8 + (9*t[6])/4 - (7*t[7])/4 + (7*t[8])/4 - t[9]/8 + 5*t[10] - 
       (13*t[11])/4 + (5*t[12])/8 - (115*t[13])/24 - t[14]/6 + 
       (43*t[15])/48 - t[23] - 2*t[34] - t[38] + t[41] - t[42] + t[49]/4 - 
       (5*t[51])/8 + (3*t[52])/2 - t[53]/4 + t[54]/2 + (3*t[59])/2 - 
       6*t[60] + (5*t[61])/2 - (3*t[62])/2 + (21*t[63])/2 - t[64] + 
       (7*t[65])/6 + (77*t[66])/6 - t[84] + 2*t[85] - 3*t[89]) + 
     D34[v, w, u]*(-t[1] + t[3]/4 - 3*t[4] + (7*t[5])/8 + (5*t[6])/2 - 
       (5*t[7])/4 + t[8]/4 - (3*t[9])/8 + (7*t[10])/2 - (17*t[11])/4 + 
       (7*t[12])/8 - (23*t[13])/12 + (5*t[14])/12 + (61*t[15])/48 - t[48] + 
       t[49]/4 - t[50] - (5*t[51])/8 + t[52] - t[53]/4 + (3*t[54])/2 + 
       (3*t[59])/2 - 6*t[60] + (5*t[61])/2 - (3*t[62])/2 + (21*t[63])/2 - 
       t[64] + (7*t[65])/6 + (77*t[66])/6 - t[84] + 2*t[85] - 3*t[89]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*
      ((17*t[1])/3 - (35*t[3])/4 + 45*t[4] - (735*t[5])/8 - (65*t[6])/4 - 
       (85*t[7])/2 - 20*t[8] + (395*t[9])/8 + 95*t[10] - (275*t[11])/4 + 
       (355*t[12])/8 - (1145*t[13])/24 - (55*t[14])/8 - (1075*t[15])/48 - 
       (105*t[43])/4 + (13*t[59])/3 - 25*t[60] - (225*t[61])/2 + 140*t[62] + 
       (105*t[63])/2 - 240*t[64] - (5*t[65])/6 + (1205*t[66])/6 - 130*t[80] - 
       160*t[86] - (5*t[89])/2) + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 
       1 - w]*((5*t[2])/2 + (135*t[3])/4 - (5*t[4])/2 + (375*t[5])/8 - 
       (55*t[6])/6 - (155*t[7])/2 - (105*t[8])/2 - (895*t[9])/8 + 125*t[10] - 
       (435*t[11])/4 - (355*t[12])/8 - (135*t[13])/4 - (715*t[14])/24 + 
       (1975*t[15])/48 - (5*t[22])/2 - (5*t[34])/2 - (15*t[41])/2 + 
       (25*t[42])/6 + (35*t[43])/4 + (15*t[45])/2 - 70*t[47] + (13*t[59])/3 - 
       25*t[60] - (225*t[61])/2 + 140*t[62] + (105*t[63])/2 - 240*t[64] - 
       (5*t[65])/6 + (1205*t[66])/6 - 130*t[80] - 160*t[86] - (5*t[89])/2) + 
     HPL[{1}, 1 - w]^3*Omega2[w, u, v]*(t[2]/2 - (5*t[3])/4 - (7*t[5])/2 - 
       (29*t[6])/12 + 4*t[7] + (27*t[8])/4 + (11*t[9])/2 - (17*t[10])/4 + 
       6*t[11] + (5*t[12])/2 + (191*t[13])/72 + (41*t[14])/36 - 
       (15*t[15])/8 - t[41]/2 + t[42]/2 - t[43] + (11*t[45])/4 + t[47]/2 - 
       t[59]/2 + (13*t[61])/4 - (241*t[62])/24 - (45*t[63])/8 + 
       (111*t[64])/8 + (29*t[65])/18 - (109*t[66])/9 + 2*t[79] + 
       (25*t[86])/2 - (3*t[89])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Qep[v, w, u]*((88*t[1])/3 + 8*t[2] + (76*t[3])/3 + (212*t[4])/3 + 
       (262*t[5])/3 - 54*t[6] - 132*t[7] - (364*t[8])/3 - 202*t[9] - 
       (172*t[10])/3 - (628*t[11])/3 - (418*t[12])/3 - (2887*t[13])/27 - 
       (878*t[14])/9 + (511*t[15])/9 - (32*t[31])/3 + (8*t[41])/3 - 
       (8*t[42])/3 + (68*t[43])/3 - (104*t[45])/3 + (32*t[46])/3 - 
       (176*t[47])/3 + (52*t[48])/3 - 8*t[49] + (52*t[50])/3 - 4*t[51] - 
       (52*t[52])/3 + 8*t[53] - (4*t[54])/3 + (32*t[59])/3 - (232*t[60])/3 - 
       (1256*t[61])/3 + (1664*t[62])/3 + (104*t[63])/3 - (916*t[64])/3 - 
       (1864*t[65])/9 + (5192*t[66])/9 + 32*t[74] - (160*t[79])/3 - 
       (80*t[81])/3 + (80*t[82])/3 - (152*t[85])/3 - 320*t[86] + 
       (152*t[87])/3 + (76*t[88])/3 - (4*t[89])/3) + 
     D11[w, u, v]*(-t[60] - 2*t[61] + 2*t[62] + 2*t[63] + 2*t[64] - 
       (7*t[65])/3 - t[89]) + D11[v, u, w]*(t[3] + t[5] - t[6] - t[7] - 
       3*t[8] - 2*t[9] - 3*t[10] - t[12] - t[13]/2 - (5*t[14])/3 - t[15]/6 + 
       t[43] - t[60] - 2*t[61] + 2*t[62] + 2*t[63] + 2*t[64] - (7*t[65])/3 - 
       t[89]) + D22[u, v, w]*(-t[5]/2 + t[11] + t[12]/2 + t[14]/6 - t[15]/4 + 
       2*t[61] - t[62] + t[63] + t[64] - (4*t[65])/3 - 2*t[66] - t[77] - 
       t[89]) + D27[v, w, u]*(-t[1]/2 + t[2] - (3*t[3])/2 + (5*t[5])/4 + 
       t[6] - t[7]/2 + t[8]/2 - (7*t[9])/4 + (3*t[10])/2 + (3*t[11])/2 - 
       (3*t[12])/4 - t[13]/6 + (23*t[14])/12 + (35*t[15])/24 + 4*t[23] - 
       t[59]/2 - (7*t[61])/2 + 4*t[62] + 2*t[63] + 2*t[64] - 5*t[65] + 
       (11*t[66])/3 + t[77] - t[89]) + D27[w, v, u]*(-t[2]/2 + (3*t[3])/2 + 
       2*t[4] - (5*t[5])/4 - t[6] - (3*t[7])/2 - (9*t[8])/2 - (5*t[9])/4 - 
       (11*t[10])/2 - t[11]/2 - (7*t[12])/4 - (9*t[13])/4 - (35*t[14])/12 - 
       (13*t[15])/8 - t[41]/2 + t[42]/2 + t[43] - t[59]/2 - (7*t[61])/2 + 
       4*t[62] + 2*t[63] + 2*t[64] - 5*t[65] + (11*t[66])/3 + t[77] - 
       t[89]) + B11[w, u, v]*HPL[{1}, 1 - v]*(-t[1] - t[4] + t[10] + t[12] + 
       t[14] - t[15]/3 + t[49] - t[53] + 3*t[60] + t[61] - t[62] + t[63] - 
       t[64] - (7*t[65])/3 - (8*t[66])/3 + 2*t[83] - t[89]) + 
     B11[v, w, u]*HPL[{1}, 1 - w]*(-t[3] - t[6] + 2*t[7] - 2*t[8] + t[9] + 
       t[11] + t[13]/3 + t[14]/3 + t[15]/2 - t[48] + t[50] - t[52] - t[54] + 
       3*t[60] + t[61] - t[62] + t[63] - t[64] - (7*t[65])/3 - (8*t[66])/3 + 
       2*t[83] - t[89]) + B9[v, w, u]*HPL[{1}, 1 - v]*
      (-6*t[4] + (3*t[7])/2 + (3*t[8])/2 - 6*t[10] - t[12] - t[13] - 
       t[14]/4 - t[15]/3 - t[46] + t[49] + t[51]/4 - t[53] + t[61] - 
       4*t[62] - (21*t[63])/2 + (7*t[64])/2 - (2*t[66])/3 - 2*t[74] + 
       2*t[79] + 2*t[83] + 6*t[86] - t[89]) + B9[w, u, v]*HPL[{1}, 1 - w]*
      ((3*t[2])/2 - t[3] - t[6] + (3*t[7])/2 - 4*t[8] + (5*t[9])/2 - 
       (3*t[10])/2 + t[11] + (9*t[12])/2 - t[13]/6 + t[14] - (13*t[15])/12 + 
       t[17] - 2*t[24] - t[48] + t[50] - t[52] - t[54] + t[61] - 4*t[62] - 
       (21*t[63])/2 + (7*t[64])/2 - (2*t[66])/3 - 2*t[74] + 2*t[79] + 
       2*t[83] + 6*t[86] - t[89]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - v]*((2*t[1])/3 - t[3]/4 + (21*t[4])/4 - 
       (15*t[5])/4 + (7*t[6])/8 - (29*t[7])/8 - (33*t[8])/8 + (19*t[9])/4 + 
       (163*t[10])/8 - (21*t[11])/8 + t[12]/4 + (113*t[13])/36 + 
       (89*t[14])/24 - (133*t[15])/48 - t[31] - (27*t[43])/8 - t[46] + 
       (7*t[48])/8 + 2*t[49] + (7*t[50])/8 - t[51]/4 - (7*t[52])/8 - 
       2*t[53] - (7*t[54])/8 - t[59]/3 + (29*t[60])/4 + (23*t[61])/2 - 
       (3*t[62])/2 + 13*t[63] - (59*t[64])/2 + (7*t[65])/2 - (259*t[66])/18 - 
       2*t[74] + t[79] - 39*t[80] - t[81]/2 + t[82]/2 - (7*t[85])/4 - 
       (49*t[86])/2 - (9*t[87])/4 - (9*t[88])/8 - (7*t[89])/8) + 
     D26[v, w, u]*(6*t[60] + t[61] - (5*t[62])/4 + (5*t[63])/4 - 5*t[64] + 
       t[65]/2 - (13*t[66])/3 + t[78] - 2*t[80] + t[81] + t[84]/2 + 
       (3*t[85])/2 - (7*t[87])/2 - (7*t[88])/4 - t[89]/2) + 
     D26[w, v, u]*(t[2] - 3*t[3] - (11*t[5])/4 + t[6]/4 + (11*t[7])/2 - 
       (11*t[8])/2 + (25*t[9])/4 - t[10]/2 + (5*t[11])/4 + (11*t[12])/4 + 
       (23*t[13])/18 + (7*t[14])/2 - (7*t[15])/8 + 2*t[23] - 2*t[32] + 
       2*t[33] + 2*t[34] - 2*t[39] + 2*t[40] - t[45] + t[47] - (5*t[48])/4 + 
       (3*t[50])/4 - (11*t[52])/4 + t[54]/4 + 6*t[60] + t[61] - (5*t[62])/4 + 
       (5*t[63])/4 - 5*t[64] + t[65]/2 - (13*t[66])/3 + t[78] - 2*t[80] + 
       t[81] + t[84]/2 + (3*t[85])/2 - (7*t[87])/2 - (7*t[88])/4 - t[89]/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-5*t[1])/2 - (3*t[3])/4 - 6*t[4] - (3*t[5])/16 - (17*t[6])/16 + 
       (3*t[7])/4 + (9*t[8])/4 - (49*t[9])/16 - (11*t[10])/4 - 
       (39*t[11])/16 + (157*t[12])/16 - (5*t[13])/4 - (11*t[14])/24 + 
       (75*t[15])/32 - t[16]/4 + (5*t[25])/2 - t[26] - t[36]/2 + 2*t[37] - 
       (5*t[38])/2 - (11*t[46])/2 + (47*t[48])/16 + 4*t[49] + (23*t[50])/16 + 
       (11*t[51])/8 - (23*t[52])/16 - 2*t[53] - (23*t[54])/16 + 
       (19*t[59])/4 - (187*t[60])/8 + (81*t[61])/8 + (31*t[62])/16 + 
       (361*t[63])/16 + (93*t[64])/16 + (23*t[65])/2 + (197*t[66])/12 + 
       t[67]/4 - 2*t[70] + 2*t[71] + t[74]/2 + t[81]/4 - t[82]/4 - 
       (13*t[84])/4 - (35*t[85])/8 + (119*t[87])/8 + (111*t[88])/16 - 
       (5*t[89])/16) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-63*t[2])/8 - (45*t[3])/4 - (23*t[4])/8 - (89*t[5])/16 - 
       (13*t[7])/4 + (51*t[8])/4 + (35*t[9])/16 + (111*t[10])/16 - 
       (13*t[11])/2 - (13*t[12])/8 - (27*t[13])/4 - (289*t[14])/96 + 
       (875*t[15])/96 - t[29] - (3*t[32])/2 - t[33] - 2*t[44] + 
       (29*t[49])/16 - (29*t[51])/32 - (29*t[53])/16 + (35*t[54])/8 + 
       (19*t[59])/4 - (187*t[60])/8 + (81*t[61])/8 + (31*t[62])/16 + 
       (361*t[63])/16 + (93*t[64])/16 + (23*t[65])/2 + (197*t[66])/12 + 
       t[67]/4 - 2*t[70] + 2*t[71] + t[74]/2 + t[81]/4 - t[82]/4 - 
       (13*t[84])/4 - (35*t[85])/8 + (119*t[87])/8 + (111*t[88])/16 - 
       (5*t[89])/16) + B5[u, w, v]*HPL[{1}, 1 - v]*(t[3]/2 - t[4]/2 - 
       t[5]/4 - (3*t[7])/2 - (3*t[8])/2 - (9*t[9])/4 - (13*t[10])/4 + 
       (3*t[11])/2 + t[12]/2 + (7*t[13])/6 - (23*t[14])/24 - t[15]/24 - 
       t[49]/4 + t[51]/8 + t[53]/4 - t[54]/2 - (3*t[60])/2 + t[61]/2 + 
       (21*t[62])/4 + (7*t[63])/4 + (5*t[64])/4 + (11*t[65])/6 - 
       (5*t[66])/2 + t[72] - t[77] + t[84]/2 + t[85]/2 - 4*t[86] + t[87]/2 + 
       t[88]/4 - t[89]/4) + B5[u, v, w]*HPL[{1}, 1 - w]*
      ((-5*t[5])/4 + t[6]/4 - t[7]/2 - (3*t[8])/2 + (9*t[9])/4 - 
       (5*t[10])/2 + t[11]/4 + t[12]/4 + t[13]/2 - t[14]/3 - (7*t[15])/24 - 
       t[20] - t[32] + t[40] - t[48]/4 - t[50]/4 - (3*t[52])/4 + t[54]/4 - 
       (3*t[60])/2 + t[61]/2 + (21*t[62])/4 + (7*t[63])/4 + (5*t[64])/4 + 
       (11*t[65])/6 - (5*t[66])/2 + t[72] - t[77] + t[84]/2 + t[85]/2 - 
       4*t[86] + t[87]/2 + t[88]/4 - t[89]/4) + 
     D29[w, u, v]*(3*t[2] - t[3] + (5*t[5])/4 - (5*t[6])/4 - (17*t[8])/2 + 
       (15*t[9])/4 + (3*t[10])/2 - (23*t[11])/4 + (13*t[12])/4 - 2*t[13] - 
       (2*t[14])/3 - (9*t[15])/8 + t[17] - 2*t[24] - 2*t[33] + 2*t[39] - 
       t[48]/4 + (7*t[50])/4 - (7*t[52])/4 - (7*t[54])/4 - (3*t[60])/2 - 
       t[61]/2 - t[62]/4 + (13*t[63])/4 + (5*t[64])/4 + (5*t[65])/3 + 
       (10*t[66])/3 - 2*t[68] + t[81] - t[82] - (3*t[85])/2 + (3*t[87])/2 + 
       (3*t[88])/4 - t[89]/4) + D29[v, w, u]*((3*t[2])/2 - (15*t[4])/2 + 
       (7*t[5])/4 + t[6] - (17*t[8])/2 - (17*t[9])/4 - (27*t[10])/4 - 
       3*t[11] - (7*t[12])/2 - (11*t[13])/6 + t[14]/8 + t[15]/8 + t[16] + 
       2*t[36] - 2*t[46] + t[49]/4 - t[51]/8 - t[53]/4 + (3*t[54])/2 - 
       (3*t[60])/2 - t[61]/2 - t[62]/4 + (13*t[63])/4 + (5*t[64])/4 + 
       (5*t[65])/3 + (10*t[66])/3 - 2*t[68] + t[81] - t[82] - (3*t[85])/2 + 
       (3*t[87])/2 + (3*t[88])/4 - t[89]/4) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*(-t[2]/8 + (37*t[3])/16 + 
       (5*t[4])/8 + (43*t[5])/16 + (89*t[6])/24 + t[7]/8 + (9*t[8])/8 + 
       t[9]/2 - (119*t[10])/16 - (57*t[11])/16 - (9*t[12])/4 + 
       (23*t[13])/288 - (1331*t[14])/288 - (19*t[15])/48 + t[18]/3 - 
       (3*t[41])/4 + t[42]/12 + (7*t[43])/8 - (59*t[45])/8 + (33*t[47])/4 + 
       (11*t[48])/16 + (7*t[49])/16 - (11*t[50])/16 - (7*t[51])/32 + 
       (11*t[52])/16 - (7*t[53])/16 - (3*t[54])/16 + t[59]/6 - (25*t[60])/8 - 
       5*t[61] + (13*t[62])/12 - 6*t[63] + (97*t[64])/8 - (43*t[65])/18 + 
       (125*t[66])/18 + t[69]/2 - t[70]/4 + t[71]/4 + t[74] - t[79]/2 + 
       (39*t[80])/2 + t[81]/4 - t[82]/4 + t[83]/8 + (7*t[85])/8 + 
       (47*t[86])/4 + (5*t[87])/8 + (5*t[88])/16 + t[89]/16) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v]*
      ((-5*t[1])/6 + t[3]/8 - (15*t[4])/8 + (15*t[5])/8 - (3*t[6])/16 + 
       (27*t[7])/16 + (31*t[8])/16 - (19*t[9])/8 - (39*t[10])/4 + 
       (21*t[11])/16 - t[12]/48 - (23*t[13])/12 - (125*t[14])/96 + 
       (41*t[15])/32 + t[31]/2 + (27*t[43])/16 + t[46]/2 - (7*t[48])/16 - 
       (11*t[49])/16 - (7*t[50])/16 - t[51]/32 + (7*t[52])/16 + 
       (11*t[53])/16 + (7*t[54])/16 + t[59]/6 - (25*t[60])/8 - 5*t[61] + 
       (13*t[62])/12 - 6*t[63] + (97*t[64])/8 - (43*t[65])/18 + 
       (125*t[66])/18 + t[69]/2 - t[70]/4 + t[71]/4 + t[74] - t[79]/2 + 
       (39*t[80])/2 + t[81]/4 - t[82]/4 + t[83]/8 + (7*t[85])/8 + 
       (47*t[86])/4 + (5*t[87])/8 + (5*t[88])/16 + t[89]/16) + 
     B5[u, v, w]*HPL[{1}, 1 - v]*((5*t[5])/4 - t[6]/4 + t[7]/2 + (3*t[8])/2 - 
       (9*t[9])/4 + (5*t[10])/2 - t[11]/4 - t[12]/4 - t[13]/2 + t[14]/3 + 
       (7*t[15])/24 + t[20] + t[32] - t[40] + t[48]/4 + t[50]/4 + 
       (3*t[52])/4 - t[54]/4 + (3*t[60])/2 - t[61]/2 - (21*t[62])/4 - 
       (7*t[63])/4 - (5*t[64])/4 - (11*t[65])/6 + (5*t[66])/2 - t[72] + 
       t[77] - t[84]/2 - t[85]/2 + 4*t[86] - t[87]/2 - t[88]/4 + t[89]/4) + 
     B5[u, w, v]*HPL[{1}, 1 - w]*(-t[3]/2 + t[4]/2 + t[5]/4 + (3*t[7])/2 + 
       (3*t[8])/2 + (9*t[9])/4 + (13*t[10])/4 - (3*t[11])/2 - t[12]/2 - 
       (7*t[13])/6 + (23*t[14])/24 + t[15]/24 + t[49]/4 - t[51]/8 - t[53]/4 + 
       t[54]/2 + (3*t[60])/2 - t[61]/2 - (21*t[62])/4 - (7*t[63])/4 - 
       (5*t[64])/4 - (11*t[65])/6 + (5*t[66])/2 - t[72] + t[77] - t[84]/2 - 
       t[85]/2 + 4*t[86] - t[87]/2 - t[88]/4 + t[89]/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^5*(-t[2]/64 + t[3]/8 + (5*t[5])/16 + 
       (13*t[6])/32 - (7*t[7])/64 - (33*t[8])/64 - (9*t[9])/64 - 
       (25*t[10])/64 - (7*t[11])/16 - (11*t[12])/64 - (89*t[13])/576 - 
       (41*t[14])/144 - (13*t[15])/384 + t[18]/48 + t[41]/16 - (5*t[42])/96 + 
       t[43]/8 - (3*t[45])/4 + (3*t[47])/4 + t[48]/16 - t[50]/16 + t[52]/16 + 
       t[54]/16 + (5*t[59])/96 - t[60]/8 - t[61]/16 + (49*t[62])/96 + 
       t[63]/32 + (7*t[64])/32 - (11*t[65])/72 + (115*t[66])/144 + t[74]/16 - 
       (3*t[79])/16 + (13*t[80])/8 - (3*t[86])/16 + t[87]/8 + t[88]/16 + 
       t[89]/4) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - v]*
      ((4*t[2])/3 - (9*t[3])/2 - (13*t[4])/4 - (45*t[5])/8 - (11*t[6])/6 + 
       (49*t[7])/4 - 2*t[8] + (27*t[9])/2 - (25*t[10])/8 + (27*t[11])/4 + 
       (11*t[12])/2 - (11*t[13])/72 + (785*t[14])/144 - (479*t[15])/144 - 
       (5*t[18])/6 + t[22]/2 - t[23] - t[24] - t[31] + t[34]/2 + t[41] - 
       (11*t[42])/6 - (7*t[43])/4 + (9*t[45])/4 + (5*t[47])/2 - (3*t[48])/4 - 
       (7*t[49])/8 + (9*t[50])/4 + (7*t[51])/16 - (9*t[52])/4 + (7*t[53])/8 + 
       t[54]/2 + (7*t[59])/6 + (11*t[60])/4 + 7*t[61] - (33*t[62])/2 - 
       3*t[63] + 8*t[64] + (7*t[65])/2 - (23*t[66])/6 - t[71]/6 - t[74] - 
       t[81]/2 + t[82]/2 + t[83] + t[84]/2 - (9*t[85])/4 + (27*t[86])/2 + 
       t[87]/4 + t[88]/8 + (3*t[89])/8) + HPL[{1}, 1 - w]^5*
      HPL[{0, 1}, 1 - u]*(-t[2]/32 + t[3]/4 + (5*t[5])/8 + (13*t[6])/16 - 
       (7*t[7])/32 - (33*t[8])/32 - (9*t[9])/32 - (25*t[10])/32 - 
       (7*t[11])/8 - (11*t[12])/32 - (35*t[13])/96 - (41*t[14])/72 - 
       (13*t[15])/192 + t[18]/24 + t[41]/8 - (5*t[42])/48 + t[43]/4 - 
       (3*t[45])/2 + (3*t[47])/2 + t[48]/8 - t[50]/8 + t[52]/8 + t[54]/8 + 
       (5*t[59])/48 - t[60]/4 - t[61]/8 + (49*t[62])/48 + t[63]/16 + 
       (7*t[64])/16 - (11*t[65])/36 + (131*t[66])/72 + t[74]/8 - 
       (3*t[79])/8 + (13*t[80])/4 - (3*t[86])/8 + t[87]/4 + t[88]/8 + 
       t[89]/2) + D9[v, w, u]*t[89] + D9[w, v, u]*(t[7] - t[8] - t[10] + 
       t[89]) + B11[w, u, v]*HPL[{1}, 1 - w]*(t[1] + t[4] - t[10] - t[12] - 
       t[14] + t[15]/3 - t[49] + t[53] - 3*t[60] - t[61] + t[62] - t[63] + 
       t[64] + (7*t[65])/3 + (8*t[66])/3 - 2*t[83] + t[89]) + 
     B11[v, w, u]*HPL[{1}, 1 - v]*(t[3] + t[6] - 2*t[7] + 2*t[8] - t[9] - 
       t[11] - t[13]/3 - t[14]/3 - t[15]/2 + t[48] - t[50] + t[52] + t[54] - 
       3*t[60] - t[61] + t[62] - t[63] + t[64] + (7*t[65])/3 + (8*t[66])/3 - 
       2*t[83] + t[89]) + B9[v, w, u]*HPL[{1}, 1 - w]*
      (6*t[4] - (3*t[7])/2 - (3*t[8])/2 + 6*t[10] + t[12] + t[13] + t[14]/4 + 
       t[15]/3 + t[46] - t[49] - t[51]/4 + t[53] - t[61] + 4*t[62] + 
       (21*t[63])/2 - (7*t[64])/2 + (2*t[66])/3 + 2*t[74] - 2*t[79] - 
       2*t[83] - 6*t[86] + t[89]) + B9[w, u, v]*HPL[{1}, 1 - v]*
      ((-3*t[2])/2 + t[3] + t[6] - (3*t[7])/2 + 4*t[8] - (5*t[9])/2 + 
       (3*t[10])/2 - t[11] - (9*t[12])/2 + t[13]/6 - t[14] + (13*t[15])/12 - 
       t[17] + 2*t[24] + t[48] - t[50] + t[52] + t[54] - t[61] + 4*t[62] + 
       (21*t[63])/2 - (7*t[64])/2 + (2*t[66])/3 + 2*t[74] - 2*t[79] - 
       2*t[83] - 6*t[86] + t[89]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((105*t[2])/2 - (475*t[3])/12 + 
       (133*t[4])/12 + (97*t[5])/8 - (25*t[6])/3 - (157*t[7])/12 - 
       (67*t[8])/12 - (235*t[9])/24 - (83*t[10])/8 + (395*t[11])/12 + 
       (49*t[12])/12 + (209*t[13])/12 + (4873*t[14])/144 - (2045*t[15])/144 + 
       5*t[18] + 18*t[20] - 10*t[22] - (19*t[29])/3 + 2*t[32] - 
       (31*t[33])/3 + (40*t[34])/3 - 14*t[44] - (17*t[48])/3 - 
       (49*t[49])/24 - (28*t[50])/3 + (49*t[51])/48 + (28*t[52])/3 + 
       (49*t[53])/24 - (139*t[54])/12 - (37*t[59])/3 + (1151*t[60])/12 + 
       (89*t[61])/4 - (425*t[62])/24 - (281*t[63])/8 + (431*t[64])/24 - 
       (1583*t[65])/36 - (2413*t[66])/36 + (7*t[67])/3 - 9*t[69] - t[70] - 
       (5*t[71])/3 + (14*t[74])/3 + (7*t[81])/3 - (7*t[82])/3 + 
       (91*t[84])/12 + (71*t[85])/12 - (317*t[87])/12 - (437*t[88])/24 + 
       (37*t[89])/24) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*(21*t[1] - (91*t[3])/12 + (64*t[4])/3 - 
       (35*t[5])/24 + (77*t[6])/8 + (91*t[7])/12 + (91*t[8])/4 + 
       (457*t[9])/24 - (87*t[10])/4 + (557*t[11])/24 - (483*t[12])/8 + 
       (373*t[13])/24 + (415*t[14])/36 - (355*t[15])/144 - (7*t[16])/3 + 
       (17*t[25])/3 - (55*t[26])/3 - (14*t[36])/3 + (25*t[37])/3 + 
       (44*t[38])/3 - 2*t[46] - (3*t[48])/8 - (8*t[49])/3 - (133*t[50])/24 + 
       (43*t[51])/6 + (133*t[52])/24 - (4*t[53])/3 + (133*t[54])/24 - 
       (37*t[59])/3 + (1151*t[60])/12 + (89*t[61])/4 - (425*t[62])/24 - 
       (281*t[63])/8 + (431*t[64])/24 - (1583*t[65])/36 - (2413*t[66])/36 + 
       (7*t[67])/3 - 9*t[69] - t[70] - (5*t[71])/3 + (14*t[74])/3 + 
       (7*t[81])/3 - (7*t[82])/3 + (91*t[84])/12 + (71*t[85])/12 - 
       (317*t[87])/12 - (437*t[88])/24 + (37*t[89])/24) + 
     D33[v, w, u]*(t[1]/2 - (3*t[2])/2 + t[3]/4 - t[4] + t[5]/2 + 
       (29*t[6])/8 - (3*t[7])/2 + t[8]/2 - (5*t[9])/4 + (3*t[10])/2 - 
       (9*t[11])/8 - t[12]/2 + (85*t[13])/36 + (3*t[14])/8 + t[38] - 
       (9*t[48])/8 - t[49]/2 - (9*t[50])/8 + t[51]/4 + (9*t[52])/8 + 
       t[53]/2 + (17*t[54])/8 + t[59]/2 - t[60]/4 + (9*t[61])/4 - 
       (13*t[62])/8 - (19*t[63])/8 + (7*t[64])/8 + (13*t[65])/4 + 
       (37*t[66])/12 + t[76]/2 + t[77] - t[78]/2 + 2*t[80] - t[84]/4 - 
       t[85]/4 + (5*t[87])/4 + (5*t[88])/8 + (17*t[89])/8) + 
     D33[w, u, v]*(-t[1] + t[2] - t[3] + (3*t[4])/4 - t[5] - t[6]/2 + t[7] + 
       4*t[8] + (3*t[9])/2 + (5*t[10])/8 + t[11]/2 + (5*t[12])/8 - 
       (107*t[13])/36 - t[14]/48 + t[15]/24 - t[23] + t[26]/2 + t[32] - 
       t[33] - t[34] - t[38] + t[39] - t[40] + t[41]/2 - t[42]/2 + t[47] + 
       (3*t[48])/2 - t[49]/8 + t[50]/2 + t[51]/16 + t[52]/2 + t[53]/8 - 
       (7*t[54])/4 + t[58]/2 + t[59]/2 - t[60]/4 + (9*t[61])/4 - 
       (13*t[62])/8 - (19*t[63])/8 + (7*t[64])/8 + (13*t[65])/4 + 
       (37*t[66])/12 + t[76]/2 + t[77] - t[78]/2 + 2*t[80] - t[84]/4 - 
       t[85]/4 + (5*t[87])/4 + (5*t[88])/8 + (17*t[89])/8) + 
     D32[v, w, u]*(t[2]/2 - (3*t[3])/2 - t[4] - (11*t[5])/4 + (7*t[6])/2 + 
       (3*t[7])/2 + (9*t[8])/2 + (25*t[9])/4 + (9*t[10])/2 - t[11]/2 + 
       (19*t[12])/4 + (11*t[13])/6 + (35*t[14])/12 - (7*t[15])/8 + t[41]/2 - 
       t[42]/2 - t[43] + t[59]/2 - 3*t[60] + (7*t[61])/2 - 6*t[63] - 
       4*t[64] + (32*t[65])/3 + (7*t[66])/3 - t[77] + 3*t[89]) + 
     D32[w, u, v]*(t[1]/2 - t[2] + (9*t[3])/2 - (5*t[5])/4 - (3*t[6])/2 - 
       (11*t[7])/2 + (11*t[8])/2 - (13*t[9])/4 + (7*t[10])/2 + t[11]/2 - 
       (13*t[12])/4 - (7*t[13])/4 - (43*t[14])/12 - (19*t[15])/24 - 4*t[23] - 
       4*t[34] + 4*t[52] + t[59]/2 - 3*t[60] + (7*t[61])/2 - 6*t[63] - 
       4*t[64] + (32*t[65])/3 + (7*t[66])/3 - t[77] + 3*t[89]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*((-39*t[1])/2 + 3*t[3] + 
       t[4] - 17*t[5] - (3*t[6])/2 + (5*t[7])/2 - (5*t[8])/2 + (33*t[9])/2 + 
       3*t[10] - t[11] + 45*t[12] - (34*t[13])/3 - (43*t[14])/4 - 
       (41*t[15])/4 - 7*t[32] - 8*t[38] + 7*t[40] - (3*t[48])/2 + 
       (5*t[50])/2 + (3*t[51])/4 - (3*t[52])/2 - (3*t[54])/2 - (37*t[60])/2 + 
       t[61] + (31*t[62])/2 - (31*t[63])/2 - (5*t[64])/2 + (131*t[65])/6 + 
       (131*t[66])/3 - t[85] + t[87] + t[88]/2 + (23*t[89])/2) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-21*t[2])/2 + (33*t[3])/2 - (3*t[4])/2 + 34*t[6] - (31*t[7])/2 + 
       (31*t[8])/2 - (31*t[9])/2 - (9*t[10])/2 - 16*t[11] + 4*t[12] - 
       (131*t[13])/12 - (125*t[14])/6 - (7*t[15])/6 - 6*t[23] + 7*t[32] - 
       14*t[34] - 7*t[40] - t[41] + t[42] - 2*t[48] + (5*t[49])/2 - t[51]/2 + 
       13*t[52] - (3*t[53])/2 + 13*t[54] - (37*t[60])/2 + t[61] + 
       (31*t[62])/2 - (31*t[63])/2 - (5*t[64])/2 + (131*t[65])/6 + 
       (131*t[66])/3 - t[85] + t[87] + t[88]/2 + (23*t[89])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*(-2*t[1] + 6*t[2] + 
       (53*t[3])/2 + (67*t[4])/2 + 4*t[5] - (74*t[6])/3 - (251*t[7])/4 - 
       (311*t[8])/4 - (267*t[9])/4 + (341*t[10])/4 - 99*t[11] - 
       (71*t[12])/2 - (370*t[13])/9 - (86*t[14])/3 + (325*t[15])/24 - 
       2*t[18] + 8*t[22] + 8*t[34] - 6*t[41] + (25*t[42])/6 + (29*t[43])/4 + 
       7*t[45] - 58*t[47] - (37*t[59])/6 - 9*t[60] - 133*t[61] + 157*t[62] + 
       (85*t[63])/2 - 220*t[64] - (92*t[65])/3 + (524*t[66])/3 - 128*t[80] - 
       146*t[86] + (25*t[89])/2) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*((49*t[1])/6 - 2*t[2] - (35*t[3])/2 + 
       (53*t[4])/2 - 36*t[5] - (7*t[6])/2 - (179*t[7])/4 - (57*t[8])/4 - 
       (27*t[9])/4 + (341*t[10])/4 - 74*t[11] + t[12]/2 - (1051*t[13])/36 + 
       (2*t[14])/3 + (181*t[15])/24 - 2*t[41] + 2*t[42] - (27*t[43])/4 + 
       (31*t[45])/2 - 37*t[47] - (37*t[59])/6 - 9*t[60] - 133*t[61] + 
       157*t[62] + (85*t[63])/2 - 220*t[64] - (92*t[65])/3 + (524*t[66])/3 - 
       128*t[80] - 146*t[86] + (25*t[89])/2) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*((5*t[1])/2 - 9*t[2] - 166*t[4] + 
       146*t[5] + (69*t[6])/2 + 49*t[7] - 11*t[8] - 101*t[9] - 169*t[10] + 
       (103*t[11])/2 + (119*t[12])/2 - 16*t[13] - (47*t[14])/6 + 
       (275*t[15])/6 + 8*t[37] + 3*t[42] + 41*t[43] + 10*t[46] + 
       (9*t[48])/2 - 13*t[49] - (3*t[50])/2 - t[51] + (3*t[52])/2 + 
       13*t[53] - (21*t[54])/2 - 8*t[59] - 45*t[60] - 34*t[61] + 
       (3*t[62])/2 - (253*t[63])/2 + (843*t[64])/2 - 9*t[65] + 
       (140*t[66])/3 + 20*t[69] - 4*t[70] + 4*t[71] + 20*t[74] + 8*t[79] + 
       276*t[80] + 6*t[81] - 6*t[82] - 22*t[83] + 9*t[85] + 244*t[86] + 
       7*t[87] + (7*t[88])/2 + (41*t[89])/2) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(3*t[1] - (41*t[2])/2 + 49*t[3] + 63*t[4] - 
       52*t[5] + 71*t[6] + 26*t[7] + 153*t[8] + 60*t[9] - (533*t[10])/2 + 
       14*t[11] - (81*t[12])/2 - 27*t[13] - (1747*t[14])/12 - (91*t[15])/2 - 
       6*t[17] - 3*t[19] - 12*t[21] + 6*t[23] + 24*t[24] + 20*t[35] + 
       9*t[37] - 9*t[41] + 19*t[42] + 38*t[43] - 144*t[45] + 216*t[47] + 
       10*t[48] - (3*t[49])/2 - 22*t[50] + (3*t[51])/4 + 22*t[52] + 
       (3*t[53])/2 + 25*t[54] - 8*t[59] - 45*t[60] - 34*t[61] + (3*t[62])/2 - 
       (253*t[63])/2 + (843*t[64])/2 - 9*t[65] + (140*t[66])/3 + 20*t[69] - 
       4*t[70] + 4*t[71] + 20*t[74] + 8*t[79] + 276*t[80] + 6*t[81] - 
       6*t[82] - 22*t[83] + 9*t[85] + 244*t[86] + 7*t[87] + (7*t[88])/2 + 
       (41*t[89])/2) + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*
      (20*t[1] - 190*t[4] - 130*t[6] + 15*t[7] + 15*t[8] - (105*t[10])/2 + 
       (55*t[12])/2 + (215*t[13])/3 - (265*t[14])/4 + (25*t[15])/2 - 
       (75*t[49])/2 + (75*t[51])/4 + (75*t[53])/2 - 61*t[59] - 160*t[60] - 
       30*t[61] - 40*t[62] - 60*t[63] + 315*t[64] + (530*t[65])/3 - 
       (790*t[66])/3 - 60*t[69] + 30*t[70] - 30*t[71] - 15*t[83] + 60*t[86] + 
       60*t[87] + 30*t[88] + 45*t[89]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*(75*t[2] + (15*t[3])/2 - (15*t[5])/2 - 
       30*t[6] - 60*t[7] + 225*t[8] - (105*t[9])/2 - (75*t[11])/2 + 
       (15*t[12])/2 + (1075*t[13])/12 - (100*t[14])/3 - (65*t[15])/3 + 
       30*t[42] + (75*t[48])/2 - (75*t[50])/2 + (75*t[52])/2 + (75*t[54])/2 - 
       61*t[59] - 160*t[60] - 30*t[61] - 40*t[62] - 60*t[63] + 315*t[64] + 
       (530*t[65])/3 - (790*t[66])/3 - 60*t[69] + 30*t[70] - 30*t[71] - 
       15*t[83] + 60*t[86] + 60*t[87] + 30*t[88] + 45*t[89]) + 
     D25[u, v, w]*(t[61]/2 - (5*t[64])/4 - (5*t[65])/3 - (5*t[66])/3 + 
       t[68] + t[89]/4 + t[90]) + D25[u, w, v]*((-3*t[2])/2 + (15*t[4])/2 - 
       (7*t[5])/4 - t[6] + (17*t[8])/2 + (17*t[9])/4 + (27*t[10])/4 + 
       3*t[11] + (7*t[12])/2 + (11*t[13])/6 - t[14]/8 - t[15]/8 - t[16] - 
       2*t[36] + 2*t[46] - t[49]/4 + t[51]/8 + t[53]/4 - (3*t[54])/2 + 
       t[61]/2 - (5*t[64])/4 - (5*t[65])/3 - (5*t[66])/3 + t[68] + t[89]/4 + 
       t[90]) + 2*D29[u, v, w]*t[92] + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-3*t[1])/4 - 4*t[2] + (33*t[3])/2 + 
       (177*t[4])/4 - (69*t[5])/4 - (289*t[6])/16 + (585*t[7])/16 + 
       (1899*t[8])/16 + (513*t[9])/16 - (2811*t[10])/16 + (693*t[11])/8 + 
       (9*t[12])/8 + (935*t[13])/32 - (1005*t[14])/16 - (983*t[15])/32 + 
       (9*t[17])/2 - 3*t[18] - 3*t[19] + 10*t[23] + (9*t[24])/2 - 12*t[31] - 
       (11*t[41])/4 + (17*t[42])/4 - (183*t[43])/16 - (105*t[45])/8 - 
       3*t[46] + (345*t[47])/4 + (57*t[48])/4 + (51*t[49])/8 - (27*t[50])/4 - 
       (15*t[51])/16 + (27*t[52])/4 - (51*t[53])/8 - (27*t[54])/2 + t[59] - 
       (363*t[60])/8 + (607*t[61])/8 - (3039*t[62])/16 - (2145*t[63])/16 + 
       (4725*t[64])/16 + (511*t[65])/12 - (533*t[66])/3 + (3*t[67])/4 + 
       18*t[69] - 6*t[70] + 5*t[71] - (3*t[74])/2 + 24*t[79] + 93*t[80] - 
       (15*t[81])/4 + (15*t[82])/4 + 9*t[83] - (15*t[84])/4 - (183*t[85])/8 + 
       (513*t[86])/2 + (363*t[87])/8 + (363*t[88])/16 - (111*t[89])/16 - 
       (3*t[94])/2) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-53*t[1])/4 + (15*t[2])/2 - (69*t[3])/4 - (1203*t[4])/8 + 
       (369*t[5])/8 - (27*t[6])/8 + (729*t[7])/16 + (531*t[8])/16 + 
       (315*t[9])/16 + (213*t[10])/8 + (123*t[11])/16 + (851*t[12])/16 + 
       (985*t[13])/96 + (1263*t[14])/32 + (317*t[15])/32 + 3*t[17] - 
       12*t[24] - (3*t[41])/4 + (3*t[42])/4 + (177*t[43])/16 + (39*t[45])/8 + 
       (9*t[46])/4 - (51*t[47])/4 + (3*t[48])/16 - (423*t[49])/16 + 
       (99*t[50])/16 + (369*t[51])/32 - (99*t[52])/16 + (423*t[53])/16 + 
       (459*t[54])/16 + t[59] - (363*t[60])/8 + (607*t[61])/8 - 
       (3039*t[62])/16 - (2145*t[63])/16 + (4725*t[64])/16 + (511*t[65])/12 - 
       (533*t[66])/3 + (3*t[67])/4 + 18*t[69] - 6*t[70] + 5*t[71] - 
       (3*t[74])/2 + 24*t[79] + 93*t[80] - (15*t[81])/4 + (15*t[82])/4 + 
       9*t[83] - (15*t[84])/4 - (183*t[85])/8 + (513*t[86])/2 + 
       (363*t[87])/8 + (363*t[88])/16 - (111*t[89])/16 - (3*t[94])/2) + 
     D25[w, u, v]*((-5*t[60])/2 + (7*t[61])/2 - (11*t[62])/4 - (61*t[63])/4 + 
       (25*t[64])/4 - (10*t[65])/3 - (7*t[66])/3 - t[67] - 2*t[74] - t[81] + 
       t[82] - t[84] - t[85]/2 + (5*t[87])/2 + (5*t[88])/4 - t[89]/4 + 
       2*t[94]) + D25[v, u, w]*(-6*t[2] + t[3] - (7*t[4])/2 + (15*t[5])/2 - 
       (7*t[6])/4 + 14*t[8] - (27*t[9])/2 - (13*t[10])/4 + (7*t[11])/4 - 
       (29*t[12])/4 + (4*t[13])/3 - (19*t[14])/24 + 6*t[15] - 2*t[17] + 
       2*t[24] - t[46] + t[48]/4 + (5*t[49])/4 + t[50]/4 + t[51]/8 - 
       t[52]/4 - (5*t[53])/4 - (3*t[54])/4 - (5*t[60])/2 + (7*t[61])/2 - 
       (11*t[62])/4 - (61*t[63])/4 + (25*t[64])/4 - (10*t[65])/3 - 
       (7*t[66])/3 - t[67] - 2*t[74] - t[81] + t[82] - t[84] - t[85]/2 + 
       (5*t[87])/2 + (5*t[88])/4 - t[89]/4 + 2*t[94]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - w]*((-33*t[1])/4 - t[2]/2 - 
       (87*t[3])/8 + (97*t[4])/8 - (193*t[5])/16 + (107*t[6])/8 + 
       (57*t[7])/8 + (193*t[8])/8 + (445*t[9])/16 + (991*t[10])/16 + 
       (21*t[11])/8 + (137*t[12])/8 + (733*t[13])/144 + (981*t[14])/32 - 
       (145*t[15])/96 + t[18] + t[22] + (11*t[26])/2 - t[33]/2 - t[34] - 
       2*t[36] - (11*t[38])/2 + t[39]/2 - t[40]/2 + t[41] - (5*t[42])/4 - 
       (15*t[43])/2 + (13*t[45])/4 - t[46] + 8*t[47] - (3*t[48])/4 + 
       (15*t[49])/16 + (3*t[50])/4 - (209*t[51])/32 - (3*t[52])/4 - 
       (71*t[53])/16 - (51*t[54])/8 + (5*t[59])/4 + (223*t[60])/8 + 
       (367*t[61])/8 - (609*t[62])/16 - (175*t[63])/16 - (1407*t[64])/16 + 
       (815*t[65])/24 + (269*t[66])/24 - 2*t[74] + 3*t[76] - 3*t[77] - 
       6*t[78] - 37*t[80] - 2*t[81] - (11*t[82])/2 + (101*t[84])/8 + 
       (69*t[85])/8 - (11*t[86])/2 - (179*t[87])/8 - (131*t[88])/16 + 
       (237*t[89])/16 - 4*t[95]) + HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - v]*
      ((9*t[1])/4 - (9*t[2])/2 - (19*t[3])/4 + (17*t[4])/4 - (303*t[5])/16 + 
       (169*t[6])/16 + (119*t[7])/4 - (11*t[8])/4 + (531*t[9])/16 + 
       (59*t[10])/4 - (99*t[11])/16 - (129*t[12])/16 - (745*t[13])/72 + 
       (185*t[14])/8 + (163*t[15])/32 + 2*t[29] - (11*t[30])/2 + t[32]/2 + 
       t[33]/2 - 2*t[34] + (7*t[39])/4 - (5*t[40])/4 - (11*t[41])/4 + 
       (11*t[42])/4 - (39*t[43])/8 - t[44] + (21*t[45])/2 - t[46] - 
       (13*t[47])/2 + (47*t[48])/16 + (3*t[49])/4 + (107*t[50])/16 + 
       t[51]/2 - (99*t[52])/16 - (5*t[53])/4 + (137*t[54])/16 + (5*t[59])/4 + 
       (223*t[60])/8 + (367*t[61])/8 - (609*t[62])/16 - (175*t[63])/16 - 
       (1407*t[64])/16 + (815*t[65])/24 + (269*t[66])/24 - 2*t[74] + 
       3*t[76] - 3*t[77] - 6*t[78] - 37*t[80] - 2*t[81] - (11*t[82])/2 + 
       (101*t[84])/8 + (69*t[85])/8 - (11*t[86])/2 - (179*t[87])/8 - 
       (131*t[88])/16 + (237*t[89])/16 - 4*t[95]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((13*t[1])/2 + (13*t[2])/4 - (407*t[3])/8 - (145*t[4])/4 - 
       (53*t[5])/8 - (485*t[6])/8 - (363*t[7])/8 - (115*t[8])/8 - 
       (307*t[9])/4 + 108*t[10] - 36*t[11] + (31*t[12])/2 + 
       (9317*t[13])/144 + (2399*t[14])/48 + (2951*t[15])/144 - 2*t[16] + 
       t[17]/2 + 2*t[18] + 4*t[19] + 2*t[20] + 4*t[21] - 4*t[22] - 4*t[23] + 
       4*t[24] + 22*t[25] + 4*t[26] + 24*t[27] - 4*t[28] - (35*t[29])/2 + 
       14*t[30] + 6*t[31] - 6*t[32] + 17*t[33] + 2*t[34] - 8*t[35] - 
       20*t[36] - 10*t[37] + 2*t[38] + 8*t[39] + 6*t[40] - t[41]/2 + 
       (3*t[42])/2 + (9*t[43])/8 + (143*t[44])/4 + (81*t[45])/4 + 12*t[46] - 
       (91*t[47])/2 - (39*t[48])/2 + (31*t[49])/8 - 13*t[50] - 
       (341*t[51])/16 + 11*t[52] - (71*t[53])/8 + 10*t[54] - t[55] - 
       (9*t[59])/2 - t[60]/4 - (109*t[61])/4 + (257*t[62])/4 + 26*t[63] - 
       (601*t[64])/8 - (67*t[65])/3 - (871*t[66])/6 - t[67] - 14*t[68] - 
       14*t[69] - 2*t[70] + 2*t[71] + 14*t[72] + 25*t[74] + 61*t[76] + 
       3*t[77] - 43*t[78] - 32*t[80] + 9*t[81] + 28*t[82] - 7*t[83] - 
       (5*t[84])/2 + (57*t[85])/2 - 140*t[86] + (127*t[87])/2 + 
       (151*t[88])/4 + (15*t[89])/2 - t[91]/3 - t[92] + t[94] - 2*t[95] - 
       8*t[96]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-7*t[1] + (59*t[2])/4 - (39*t[3])/2 + 36*t[4] - 30*t[5] - 65*t[6] - 
       (583*t[7])/8 + (317*t[8])/8 + (385*t[9])/8 + (83*t[10])/4 + 
       (51*t[11])/8 - (73*t[12])/8 + (1279*t[13])/48 - (731*t[14])/24 - 
       (1307*t[15])/48 + 2*t[16] + (11*t[17])/2 + 2*t[18] - 4*t[19] - 
       2*t[20] + 14*t[21] + 20*t[22] - 14*t[23] + 28*t[24] - 3*t[25] + 
       5*t[26] + 10*t[27] + 32*t[28] - 11*t[29] - 6*t[31] + 5*t[32] + 
       6*t[33] + 16*t[34] - 20*t[35] + 3*t[36] + 3*t[37] - 5*t[38] + 
       14*t[39] + (7*t[41])/2 - (5*t[42])/2 - (113*t[43])/8 - (49*t[44])/2 + 
       (147*t[45])/4 + (5*t[46])/2 - (171*t[47])/2 + (299*t[48])/8 - 
       (147*t[49])/8 - (61*t[50])/8 + (41*t[51])/8 + (133*t[52])/8 + 
       (19*t[53])/8 + (97*t[54])/8 + 2*t[56] - 8*t[57] + 3*t[58] - 
       (9*t[59])/2 - t[60]/4 - (109*t[61])/4 + (257*t[62])/4 + 26*t[63] - 
       (601*t[64])/8 - (67*t[65])/3 - (871*t[66])/6 - t[67] - 14*t[68] - 
       14*t[69] - 2*t[70] + 2*t[71] + 14*t[72] + 25*t[74] + 61*t[76] + 
       3*t[77] - 43*t[78] - 32*t[80] + 9*t[81] + 28*t[82] - 7*t[83] - 
       (5*t[84])/2 + (57*t[85])/2 - 140*t[86] + (127*t[87])/2 + 
       (151*t[88])/4 + (15*t[89])/2 - t[91]/3 - t[92] + t[94] - 2*t[95] - 
       8*t[96]) + D27[w, u, v]*(-t[59]/2 - 3*t[60] - 7*t[61] + (23*t[62])/4 + 
       (9*t[63])/4 + 7*t[64] - (49*t[65])/6 - (8*t[66])/3 - (7*t[84])/2 - 
       (5*t[85])/2 + (5*t[87])/2 + (5*t[88])/4 - (7*t[89])/2 + t[97]) + 
     D27[v, u, w]*(-t[1]/2 - 2*t[2] + 2*t[3] + (21*t[5])/4 - (25*t[6])/4 - 
       (13*t[7])/2 - (15*t[8])/2 - (45*t[9])/4 - (7*t[10])/2 + t[11]/4 - 
       (11*t[12])/4 - t[13]/3 - (17*t[14])/6 + (19*t[15])/24 + t[34] + 
       t[40] - t[41]/2 + t[42]/2 + 2*t[43] - t[48]/4 + t[49] - (9*t[50])/4 + 
       t[52]/4 - t[53] - (11*t[54])/4 - t[59]/2 - 3*t[60] - 7*t[61] + 
       (23*t[62])/4 + (9*t[63])/4 + 7*t[64] - (49*t[65])/6 - (8*t[66])/3 - 
       (7*t[84])/2 - (5*t[85])/2 + (5*t[87])/2 + (5*t[88])/4 - (7*t[89])/2 + 
       t[97]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (11*t[1] - (3*t[2])/2 - (29*t[3])/2 - t[4]/2 + (49*t[5])/4 + 
       (67*t[6])/4 + 16*t[7] + 42*t[8] + (53*t[9])/4 + (175*t[10])/4 - 
       (35*t[11])/4 - 38*t[12] + (115*t[13])/6 + (565*t[14])/24 + 
       (397*t[15])/24 + 6*t[38] - 8*t[40] - (11*t[48])/4 - (27*t[49])/4 - 
       (3*t[50])/4 + (3*t[51])/8 - (5*t[52])/4 - (29*t[53])/4 + (9*t[54])/4 - 
       2*t[59] + (119*t[60])/2 + 30*t[61] - 50*t[62] - 22*t[63] - 57*t[64] + 
       (169*t[65])/3 + (101*t[66])/6 + 19*t[77] + 9*t[78] + 6*t[80] + 
       3*t[81] + (5*t[84])/2 + t[85] - 19*t[87] - (41*t[88])/2 + 22*t[89] - 
       6*t[96] + t[97]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      (t[1]/2 + (37*t[2])/2 + 2*t[3] - (33*t[4])/2 - (19*t[5])/4 + 
       (11*t[6])/4 + 13*t[7] - 3*t[8] + (125*t[9])/4 + (67*t[10])/4 - 
       (31*t[11])/4 + (27*t[12])/2 - (5*t[13])/6 + (375*t[14])/8 + 
       (65*t[15])/24 - 4*t[23] - 3*t[32] + 4*t[34] - 6*t[40] + (19*t[41])/2 - 
       (19*t[42])/2 - 6*t[45] + 6*t[47] + (5*t[48])/4 - (23*t[49])/4 + 
       (9*t[50])/4 + (23*t[51])/8 + (35*t[52])/4 + (23*t[53])/4 + 
       (25*t[54])/4 - 2*t[59] + (119*t[60])/2 + 30*t[61] - 50*t[62] - 
       22*t[63] - 57*t[64] + (169*t[65])/3 + (101*t[66])/6 + 19*t[77] + 
       9*t[78] + 6*t[80] + 3*t[81] + (5*t[84])/2 + t[85] - 19*t[87] - 
       (41*t[88])/2 + 22*t[89] - 6*t[96] + t[97]) + 
     HPL[{0, 1}, 1 - w]*Nt[u, v, w]*(t[1]/3 - (3*t[2])/4 - (29*t[3])/24 - 
       (73*t[4])/8 + (415*t[5])/48 - t[6]/6 + (87*t[7])/16 + (65*t[8])/16 - 
       (29*t[9])/12 - (9*t[10])/8 + (93*t[11])/16 + (37*t[12])/24 + 
       (4847*t[13])/864 + (871*t[14])/288 + (25*t[15])/8 + t[18]/3 + 
       t[20]/3 + t[21]/3 - t[22]/3 - t[23]/3 + (2*t[24])/3 + (2*t[27])/3 - 
       t[29]/3 + t[32]/3 + (11*t[34])/6 - t[38]/6 - t[40]/2 - t[41]/6 + 
       t[42]/3 + (31*t[43])/48 + t[44]/6 - (29*t[45])/24 - t[46]/4 + 
       (9*t[47])/4 - (21*t[48])/16 + t[49]/48 - (7*t[50])/48 + 
       (17*t[51])/96 - t[52]/48 - t[53]/48 - (19*t[54])/48 - t[58]/6 + 
       (31*t[60])/12 + (73*t[61])/12 - (109*t[62])/8 + (25*t[63])/8 + 
       (75*t[64])/8 + (82*t[65])/9 - (106*t[66])/9 - (2*t[70])/3 + 
       (2*t[71])/3 + (2*t[72])/3 - t[74] + (8*t[76])/3 - (2*t[77])/3 - 
       (5*t[78])/3 + (25*t[80])/3 + (7*t[81])/6 + (17*t[82])/6 + 
       (2*t[83])/3 - (5*t[84])/6 + (29*t[85])/12 + (20*t[86])/3 - 
       (41*t[87])/12 - (41*t[88])/24 - (13*t[89])/24 + t[97]/3 + 16*t[98] - 
       18*t[99]) + HPL[{0, 1}, 1 - v]*Nt[u, v, w]*(-t[1]/6 + (5*t[2])/12 + 
       (29*t[3])/24 - (9*t[4])/8 - (199*t[5])/48 - (43*t[6])/8 + 
       (113*t[7])/16 - (307*t[8])/48 + (155*t[9])/12 - (41*t[10])/6 + 
       (283*t[11])/48 + (67*t[12])/12 + (881*t[13])/864 + (7*t[14])/32 - 
       (163*t[15])/36 + t[18]/3 - t[20]/3 + t[21]/3 - (5*t[22])/3 - t[23]/3 + 
       t[24]/3 - (2*t[25])/3 + t[26]/3 + t[29]/3 - t[31]/3 - t[32]/3 + 
       (11*t[34])/6 - t[38]/6 + t[40]/6 + t[41]/3 - t[42]/6 - (23*t[43])/48 + 
       t[44]/6 - (67*t[45])/24 + (5*t[46])/12 + (27*t[47])/4 - 
       (59*t[48])/48 - t[49]/16 - t[50]/16 - (11*t[51])/96 - (37*t[52])/48 + 
       t[53]/16 + t[54]/48 + t[58]/6 + (31*t[60])/12 + (73*t[61])/12 - 
       (109*t[62])/8 + (25*t[63])/8 + (75*t[64])/8 + (82*t[65])/9 - 
       (106*t[66])/9 - (2*t[70])/3 + (2*t[71])/3 + (2*t[72])/3 - t[74] + 
       (8*t[76])/3 - (2*t[77])/3 - (5*t[78])/3 + (25*t[80])/3 + (7*t[81])/6 + 
       (17*t[82])/6 + (2*t[83])/3 - (5*t[84])/6 + (29*t[85])/12 + 
       (20*t[86])/3 - (41*t[87])/12 - (41*t[88])/24 - (13*t[89])/24 + 
       t[97]/3 + 16*t[98] - 18*t[99]) + HPL[{0, 1}, 1 - w]*M1[v, u, w]*
      ((17*t[1])/12 - t[2]/2 + (95*t[3])/24 - t[4] + (245*t[5])/48 + 
       (43*t[6])/24 - (33*t[7])/8 - (41*t[8])/8 - (493*t[9])/48 + 
       (25*t[10])/8 - (17*t[11])/8 - (413*t[12])/48 - (1993*t[13])/432 - 
       (755*t[14])/144 + (143*t[15])/32 - (4*t[18])/3 - (4*t[20])/3 - 
       (4*t[21])/3 + t[22]/3 + (4*t[23])/3 - (5*t[24])/3 - (2*t[27])/3 + 
       t[29]/3 - t[30] - t[31] - t[32]/3 - (23*t[34])/6 + t[38]/6 + t[40]/2 - 
       (13*t[41])/12 + (11*t[42])/12 + (17*t[43])/12 + t[44]/3 + 
       (61*t[45])/12 - 7*t[47] + (7*t[48])/4 - (7*t[49])/12 - (5*t[50])/12 + 
       t[51]/24 + (19*t[52])/12 + (7*t[53])/12 - (17*t[54])/12 - t[58]/3 + 
       t[59] - (95*t[60])/6 + (101*t[61])/12 - (5*t[62])/2 + 13*t[63] + 
       (31*t[64])/8 - (287*t[65])/18 + (217*t[66])/36 + (2*t[70])/3 - 
       (2*t[71])/3 + t[72]/3 - (31*t[76])/6 + (2*t[77])/3 + (5*t[78])/3 - 
       (28*t[80])/3 - (13*t[81])/6 - (7*t[82])/3 - (2*t[83])/3 - 
       (17*t[84])/12 - (53*t[85])/12 - (13*t[86])/6 + (131*t[87])/12 + 
       (131*t[88])/24 - (85*t[89])/12 - t[97]/3 - 28*t[98] + 24*t[99]) + 
     HPL[{0, 1}, 1 - w]*Qep[w, u, v]*((368*t[1])/9 - (64*t[2])/3 + 
       (274*t[3])/9 + (488*t[4])/3 - (1207*t[5])/9 + (446*t[6])/9 + 62*t[7] + 
       14*t[8] + (1343*t[9])/9 - (70*t[10])/3 + 154*t[11] - (617*t[12])/9 + 
       (1673*t[13])/81 + (2755*t[14])/27 - (1909*t[15])/54 - (64*t[18])/9 - 
       (64*t[20])/9 - (64*t[21])/9 + (64*t[22])/9 + (64*t[23])/9 - 
       (320*t[24])/9 - (128*t[27])/9 + (160*t[29])/9 - (32*t[30])/3 - 
       (64*t[31])/3 - (64*t[32])/9 - (352*t[34])/9 - (32*t[36])/3 + 
       (32*t[38])/9 + (32*t[40])/3 - (256*t[41])/9 + (224*t[42])/9 - 
       (424*t[43])/9 - (32*t[44])/9 + (484*t[45])/9 - 16*t[46] + 
       (40*t[47])/3 + (92*t[48])/3 + (248*t[49])/9 - (44*t[50])/9 - 
       (16*t[51])/9 + (76*t[52])/9 - (248*t[53])/9 - (356*t[54])/9 + 
       (32*t[58])/9 - 16*t[59] + (728*t[60])/9 + (3404*t[61])/9 - 318*t[62] - 
       (470*t[63])/3 - (134*t[64])/3 - (1300*t[65])/27 - (10052*t[66])/27 - 
       (64*t[69])/3 - (64*t[70])/9 + (64*t[71])/9 - (128*t[72])/9 + 
       (128*t[73])/3 - 32*t[74] - (128*t[75])/3 - (416*t[76])/9 + 
       (32*t[77])/9 + (224*t[78])/9 - (976*t[80])/9 + (112*t[81])/9 - 
       (1072*t[82])/9 - (512*t[83])/9 + (208*t[84])/9 + (184*t[85])/9 + 
       (1528*t[86])/9 - (472*t[87])/9 - (236*t[88])/9 - (244*t[89])/9 - 
       (64*t[97])/9 - (640*t[98])/3 + 256*t[99]) + 
     HPL[{0, 1}, 1 - v]*Qep[w, u, v]*((-352*t[1])/9 + (352*t[2])/9 - 
       (382*t[3])/9 - (256*t[4])/3 + (61*t[5])/9 + (404*t[6])/3 + 32*t[7] + 
       (2236*t[8])/9 - (587*t[9])/9 + (2296*t[10])/9 + (338*t[11])/9 + 
       (743*t[12])/9 + (5306*t[13])/81 + (743*t[14])/9 + (149*t[15])/6 - 
       (64*t[18])/9 + (64*t[20])/9 - (64*t[21])/9 + (128*t[22])/9 + 
       (64*t[23])/9 + (128*t[24])/9 + (128*t[25])/9 - (64*t[26])/9 - 
       (160*t[29])/9 + (32*t[30])/3 + (160*t[31])/9 + (64*t[32])/9 - 
       (352*t[34])/9 - (32*t[36])/3 + (32*t[38])/9 - (32*t[40])/9 + 
       (176*t[41])/9 - (208*t[42])/9 - (70*t[43])/9 - (32*t[44])/9 + 
       (704*t[45])/9 - (128*t[46])/9 - (128*t[47])/3 + (224*t[48])/9 + 
       (20*t[49])/3 - 32*t[50] + (34*t[51])/9 + (448*t[52])/9 - 
       (20*t[53])/3 + (584*t[54])/9 - (32*t[58])/9 + 16*t[59] - 
       (376*t[60])/9 + (6356*t[61])/9 - (1142*t[62])/3 + (454*t[63])/3 - 
       142*t[64] + (1364*t[65])/27 - (8060*t[66])/27 + (64*t[69])/3 + 
       (320*t[70])/9 - (320*t[71])/9 - (128*t[72])/9 - (128*t[73])/3 - 
       (32*t[74])/3 + (128*t[75])/3 - (608*t[76])/9 + (224*t[77])/9 + 
       (416*t[78])/9 - (2224*t[80])/9 - (176*t[81])/9 - (400*t[82])/9 + 
       (256*t[83])/9 + (112*t[84])/9 - (536*t[85])/9 - (632*t[86])/9 + 
       (1208*t[87])/9 + (604*t[88])/9 + (356*t[89])/9 - (64*t[97])/9 - 
       (1408*t[98])/3 + 512*t[99]) + HPL[{0, 1}, 1 - v]*Qep[w, v, u]*
      ((160*t[1])/9 + (128*t[2])/9 - (152*t[3])/9 - (56*t[4])/3 + 
       (1724*t[5])/9 + (208*t[6])/3 - 316*t[7] + (2420*t[8])/9 - 
       (5008*t[9])/9 + (164*t[10])/9 - (1304*t[11])/9 - (2636*t[12])/9 - 
       (5660*t[13])/81 - (968*t[14])/9 + 168*t[15] - (128*t[18])/9 + 
       (128*t[20])/9 - (128*t[21])/9 + (256*t[22])/9 + (128*t[23])/9 - 
       (320*t[24])/9 + (256*t[25])/9 - (128*t[26])/9 - (32*t[29])/9 + 
       (64*t[30])/3 - (256*t[31])/9 + (128*t[32])/9 - (704*t[34])/9 + 
       (32*t[36])/3 + (64*t[38])/9 - (64*t[40])/9 + (64*t[41])/9 - 
       (128*t[42])/9 + (652*t[43])/9 - (64*t[44])/9 + (688*t[45])/9 + 
       (176*t[46])/9 - (640*t[47])/3 + (880*t[48])/9 - (80*t[49])/3 - 
       16*t[50] - (76*t[51])/9 + (464*t[52])/9 + (80*t[53])/3 + 
       (304*t[54])/9 - (64*t[58])/9 - (2768*t[60])/9 - (4208*t[61])/9 + 
       (1916*t[62])/3 - (556*t[63])/3 + 364*t[64] - (8144*t[65])/27 + 
       (14480*t[66])/27 - (64*t[69])/3 + (64*t[70])/9 - (64*t[71])/9 - 
       (256*t[72])/9 + (32*t[73])/3 + (224*t[74])/3 - (32*t[75])/3 - 
       (928*t[76])/9 - (128*t[77])/9 + (544*t[78])/9 - (992*t[80])/9 - 
       (640*t[81])/9 - (512*t[82])/9 - (64*t[83])/9 + (224*t[84])/9 - 
       (1504*t[85])/9 - (976*t[86])/9 + (2848*t[87])/9 + (1424*t[88])/9 + 
       (784*t[89])/9 - (128*t[97])/9 - (1664*t[98])/3 + 640*t[99]) + 
     HPL[{0, 1}, 1 - w]*Qep[u, w, v]*((-112*t[1])/9 - (200*t[2])/3 + 
       (40*t[3])/9 + (400*t[4])/3 - (100*t[5])/9 + (800*t[6])/9 - 
       (752*t[7])/3 + (632*t[8])/3 - (1588*t[9])/9 - (496*t[10])/3 - 
       (392*t[11])/3 - (812*t[12])/9 + (3116*t[13])/81 - (6080*t[14])/27 - 
       (154*t[15])/3 + (128*t[18])/9 - (64*t[20])/9 + (128*t[21])/9 + 
       (256*t[22])/9 - (128*t[23])/9 + (64*t[24])/9 - (320*t[27])/9 - 
       (128*t[29])/9 - (32*t[30])/3 + (64*t[31])/3 - (448*t[32])/9 + 
       (128*t[33])/3 - (928*t[34])/9 + (64*t[36])/3 + (224*t[38])/9 - 
       (128*t[39])/3 + (256*t[40])/3 - (16*t[41])/9 + (80*t[42])/9 - 
       (40*t[43])/9 - (128*t[44])/9 + (376*t[45])/9 + (112*t[47])/3 + 
       (208*t[48])/3 - (232*t[49])/9 - (560*t[50])/9 + (356*t[51])/9 - 
       (176*t[52])/9 + (232*t[53])/9 + (544*t[54])/9 + (128*t[58])/9 - 
       (80*t[59])/3 + (176*t[60])/9 - (3568*t[61])/9 + (1732*t[62])/3 - 
       (2516*t[63])/3 + (844*t[64])/3 + (4400*t[65])/27 + (2896*t[66])/27 + 
       (64*t[69])/3 - (64*t[70])/9 + (64*t[71])/9 - (320*t[72])/9 + 
       (224*t[73])/3 + (32*t[74])/3 - (224*t[75])/3 - (800*t[76])/9 - 
       (640*t[77])/9 + (704*t[78])/9 - (1120*t[80])/9 - (224*t[81])/9 - 
       (928*t[82])/9 - (128*t[83])/9 + (640*t[84])/9 - (992*t[85])/9 + 
       (1168*t[86])/9 + (1760*t[87])/9 + (880*t[88])/9 + (3152*t[89])/9 - 
       (160*t[97])/9 - (1408*t[98])/3 + 640*t[99]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - v]*(-324*t[1] + 4374*t[2] - 1383*t[3] - 
       2778*t[4] + (8985*t[5])/2 + 264*t[6] - 142*t[7] + 12*t[8] - 
       (13743*t[9])/2 + 8115*t[10] + 1323*t[11] - (6579*t[12])/2 - 
       1255*t[13] + 4230*t[14] + (17179*t[15])/4 - 288*t[18] - 288*t[21] + 
       432*t[22] + 288*t[23] - 864*t[24] + 432*t[25] + 336*t[26] - 
       144*t[27] - 1008*t[33] - 504*t[34] + 36*t[38] + 1008*t[39] + 
       252*t[40] - 252*t[41] + 108*t[42] + 603*t[43] + 288*t[45] + 
       696*t[46] - 2196*t[47] - 90*t[48] - 195*t[49] + 54*t[50] - 
       (1605*t[51])/2 - 198*t[52] + 195*t[53] + 1464*t[54] + 72*t[56] + 
       144*t[57] - 144*t[58] - 18*t[59] + 684*t[60] + 3982*t[61] + 
       559*t[62] + 9081*t[63] - 6021*t[64] - 8150*t[65] + 3178*t[66] - 
       144*t[67] - 144*t[68] + 576*t[70] - 576*t[71] + 3552*t[74] - 
       504*t[76] - 432*t[77] + 900*t[78] - 3744*t[80] - 1044*t[81] + 
       132*t[82] + 576*t[84] - 3048*t[85] - 6396*t[86] + 1032*t[87] + 
       516*t[88] - 3408*t[89] - 144*t[92] + 144*t[94] + 36*t[97] - 
       1728*t[98] + 5184*t[99] - 12096*t[100]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w]*(-270*t[1] + 1998*t[2] - 2565*t[3] + 
       390*t[4] + (1083*t[5])/2 - 1233*t[6] - 1581*t[7] - 2817*t[8] + 
       (4569*t[9])/2 - 3546*t[10] - 693*t[11] - (8193*t[12])/2 - 
       (2357*t[13])/2 + 2773*t[14] + (4427*t[15])/4 + 72*t[16] - 72*t[17] - 
       288*t[18] - 288*t[21] + 1080*t[22] + 288*t[23] + 720*t[24] + 
       144*t[25] - 1296*t[26] - 432*t[27] - 360*t[32] + 72*t[33] + 
       396*t[34] + 144*t[36] - 36*t[38] - 72*t[39] + 72*t[40] - 54*t[41] - 
       90*t[42] - 174*t[43] - 576*t[44] + 834*t[45] - 48*t[46] - 2028*t[47] + 
       1758*t[48] + 453*t[49] + 1182*t[50] - (1125*t[51])/2 + 294*t[52] - 
       453*t[53] + 528*t[54] + 144*t[56] - 288*t[57] - 72*t[58] - 18*t[59] + 
       684*t[60] + 3982*t[61] + 559*t[62] + 9081*t[63] - 6021*t[64] - 
       8150*t[65] + 3178*t[66] - 144*t[67] - 144*t[68] + 576*t[70] - 
       576*t[71] + 3552*t[74] - 504*t[76] - 432*t[77] + 900*t[78] - 
       3744*t[80] - 1044*t[81] + 132*t[82] + 576*t[84] - 3048*t[85] - 
       6396*t[86] + 1032*t[87] + 516*t[88] - 3408*t[89] - 144*t[92] + 
       144*t[94] + 36*t[97] - 1728*t[98] + 5184*t[99] - 12096*t[100]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - v]*(-114*t[1] + 1506*t[2] - 468*t[3] - 
       959*t[4] + 1483*t[5] + 122*t[6] - (53*t[7])/2 + (223*t[8])/2 - 
       2259*t[9] + (5603*t[10])/2 + 452*t[11] - 1116*t[12] - (1373*t[13])/3 + 
       (2903*t[14])/2 + (17339*t[15])/12 - 96*t[18] - 96*t[21] + 144*t[22] + 
       96*t[23] - 288*t[24] + 144*t[25] + 112*t[26] - 48*t[27] - 336*t[33] - 
       168*t[34] + 12*t[38] + 336*t[39] + 84*t[40] - 84*t[41] + 36*t[42] + 
       (387*t[43])/2 + 96*t[45] + 264*t[46] - 732*t[47] - 30*t[48] - 
       89*t[49] + 18*t[50] - (559*t[51])/2 - 66*t[52] + 89*t[53] + 
       536*t[54] + 24*t[56] + 48*t[57] - 48*t[58] - 12*t[59] + 197*t[60] + 
       1413*t[61] + 161*t[62] + 3049*t[63] - 2081*t[64] - 2755*t[65] + 
       (3136*t[66])/3 - 48*t[67] - 48*t[68] + 192*t[70] - 192*t[71] + 
       1248*t[74] - 168*t[76] - 144*t[77] + 300*t[78] - 1248*t[80] - 
       380*t[81] + 76*t[82] + 192*t[84] - 1064*t[85] - 2196*t[86] + 
       392*t[87] + 196*t[88] - 1143*t[89] - 48*t[92] + 48*t[94] + 12*t[97] - 
       576*t[98] + 1728*t[99] - 4032*t[100]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w]*(-90*t[1] + 709*t[2] - 865*t[3] + 
       83*t[4] + 278*t[5] - 494*t[6] - (1087*t[7])/2 - (2095*t[8])/2 + 
       680*t[9] - (2319*t[10])/2 - 192*t[11] - 1416*t[12] - 392*t[13] + 
       (1881*t[14])/2 + (4571*t[15])/12 + 24*t[16] - 24*t[17] - 96*t[18] - 
       96*t[21] + 363*t[22] + 100*t[23] + 240*t[24] + 48*t[25] - 432*t[26] - 
       144*t[27] - 120*t[32] + 24*t[33] + 135*t[34] + 48*t[36] - 12*t[38] - 
       24*t[39] + 24*t[40] - 24*t[41] - 24*t[42] - (99*t[43])/2 - 192*t[44] + 
       298*t[45] - 16*t[46] - 714*t[47] + 610*t[48] + 151*t[49] + 418*t[50] - 
       (375*t[51])/2 + 74*t[52] - 151*t[53] + 152*t[54] + 48*t[56] - 
       96*t[57] - 24*t[58] - 12*t[59] + 197*t[60] + 1413*t[61] + 161*t[62] + 
       3049*t[63] - 2081*t[64] - 2755*t[65] + (3136*t[66])/3 - 48*t[67] - 
       48*t[68] + 192*t[70] - 192*t[71] + 1248*t[74] - 168*t[76] - 
       144*t[77] + 300*t[78] - 1248*t[80] - 380*t[81] + 76*t[82] + 
       192*t[84] - 1064*t[85] - 2196*t[86] + 392*t[87] + 196*t[88] - 
       1143*t[89] - 48*t[92] + 48*t[94] + 12*t[97] - 576*t[98] + 1728*t[99] - 
       4032*t[100]) + HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - v]*
      ((-105*t[1])/2 + (2523*t[2])/4 - (1011*t[3])/4 - 256*t[4] + 
       (3919*t[5])/8 + (29*t[6])/2 + (1281*t[7])/8 - (1645*t[8])/8 - 
       (2961*t[9])/4 + (8563*t[10])/8 + (3293*t[11])/8 - (3019*t[12])/8 - 
       (1133*t[13])/16 + (1531*t[14])/2 + (6673*t[15])/12 + (3*t[17])/2 - 
       30*t[18] - 30*t[21] + 36*t[22] + 30*t[23] - 132*t[24] + 75*t[25] + 
       74*t[26] - 27*t[27] - 24*t[32] - 150*t[33] - 42*t[34] - 7*t[38] + 
       150*t[39] + 57*t[40] - (75*t[41])/2 + (45*t[42])/2 + (651*t[43])/8 - 
       3*t[44] - (105*t[45])/4 + 54*t[46] - (453*t[47])/2 - (267*t[48])/8 - 
       t[49] + (141*t[50])/8 - (379*t[51])/4 - (429*t[52])/8 + t[53] + 
       (1427*t[54])/8 + 9*t[56] + 12*t[57] - 18*t[58] + (3*t[59])/2 + 
       400*t[60] + 922*t[61] - (175*t[62])/4 + (5459*t[63])/4 - 913*t[64] - 
       1166*t[65] - (322*t[66])/3 - 21*t[67] - 24*t[68] + 60*t[70] - 
       60*t[71] + 516*t[74] - 39*t[76] - 54*t[77] + 138*t[78] - 372*t[80] - 
       58*t[81] - 16*t[82] + (237*t[84])/2 - 394*t[85] - 834*t[86] - 
       32*t[87] - 16*t[88] - (1017*t[89])/2 - 21*t[92] + 21*t[94] + 9*t[97] - 
       72*t[98] + 684*t[99] - 2214*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w]*(-57*t[1] + (935*t[2])/4 - 
       (1919*t[3])/4 + (221*t[4])/2 - (187*t[5])/8 - (309*t[6])/2 - 
       (1973*t[7])/8 - (1319*t[8])/8 + (1783*t[9])/4 - (4893*t[10])/8 + 
       (783*t[11])/8 - (4635*t[12])/8 - (3557*t[13])/48 + (4609*t[14])/8 + 
       (2263*t[15])/12 + 12*t[16] - (21*t[17])/2 - 30*t[18] - 30*t[21] + 
       180*t[22] + 28*t[23] + 132*t[24] + 27*t[25] - 195*t[26] - 75*t[27] - 
       36*t[32] - 18*t[33] + 78*t[34] + 24*t[36] - 27*t[38] + 18*t[39] - 
       6*t[40] - 8*t[41] - 7*t[42] - (279*t[43])/8 - 99*t[44] + 
       (773*t[45])/4 - 32*t[46] - (813*t[47])/2 + (1951*t[48])/8 + 
       (395*t[49])/4 + (1159*t[50])/8 - (605*t[51])/8 + (593*t[52])/8 - 
       (395*t[53])/4 + (821*t[54])/8 + 24*t[56] - 48*t[57] - 9*t[58] + 
       (3*t[59])/2 + 400*t[60] + 922*t[61] - (175*t[62])/4 + (5459*t[63])/4 - 
       913*t[64] - 1166*t[65] - (322*t[66])/3 - 21*t[67] - 24*t[68] + 
       60*t[70] - 60*t[71] + 516*t[74] - 39*t[76] - 54*t[77] + 138*t[78] - 
       372*t[80] - 58*t[81] - 16*t[82] + (237*t[84])/2 - 394*t[85] - 
       834*t[86] - 32*t[87] - 16*t[88] - (1017*t[89])/2 - 21*t[92] + 
       21*t[94] + 9*t[97] - 72*t[98] + 684*t[99] - 2214*t[100]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - v]*(-53*t[1] + (1391*t[2])/2 - 250*t[3] - 
       347*t[4] + (1133*t[5])/2 + 47*t[6] + (451*t[7])/4 - (259*t[8])/4 - 
       (3417*t[9])/4 + (4915*t[10])/4 + (1421*t[11])/4 - 454*t[12] - 
       (10307*t[13])/72 + 773*t[14] + (14837*t[15])/24 + t[17] - 36*t[18] - 
       36*t[21] + 48*t[22] + 36*t[23] - 136*t[24] + 74*t[25] + 68*t[26] - 
       26*t[27] - 16*t[32] - 156*t[33] - 56*t[34] + 156*t[39] + 52*t[40] - 
       39*t[41] + 21*t[42] + (331*t[43])/4 - 2*t[44] - (3*t[45])/2 + 
       96*t[46] - 273*t[47] - (109*t[48])/4 - (55*t[49])/2 + (59*t[50])/4 - 
       (463*t[51])/4 - (187*t[52])/4 + (55*t[53])/2 + (929*t[54])/4 + 
       10*t[56] + 16*t[57] - 20*t[58] - 4*t[59] + 284*t[60] + 893*t[61] - 
       15*t[62] + 1429*t[63] - (1985*t[64])/2 - 1253*t[65] + 101*t[66] - 
       22*t[67] - 24*t[68] + 72*t[70] - 72*t[71] + 584*t[74] - 54*t[76] - 
       60*t[77] + 142*t[78] - 456*t[80] - 118*t[81] + 18*t[82] + 111*t[84] - 
       464*t[85] - 954*t[86] + 68*t[87] + 34*t[88] - 533*t[89] - 22*t[92] + 
       22*t[94] + 8*t[97] - 144*t[98] + 744*t[99] - 2148*t[100]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w]*(-53*t[1] + (599*t[2])/2 - 469*t[3] + 
       64*t[4] + (159*t[5])/2 - (459*t[6])/2 - (1053*t[7])/4 - 
       (1355*t[8])/4 + (1479*t[9])/4 - (2359*t[10])/4 + (211*t[11])/4 - 
       (1295*t[12])/2 - (8327*t[13])/72 + (6587*t[14])/12 + (1551*t[15])/8 + 
       12*t[16] - 11*t[17] - 36*t[18] - 36*t[21] + 182*t[22] + 36*t[23] + 
       128*t[24] + 26*t[25] - 202*t[26] - 74*t[27] - 44*t[32] - 8*t[33] + 
       76*t[34] + 24*t[36] - 20*t[38] + 8*t[39] - 11*t[41] - 7*t[42] - 
       (109*t[43])/4 - 98*t[44] + (377*t[45])/2 - 24*t[46] - 409*t[47] + 
       (1105*t[48])/4 + 91*t[49] + (713*t[50])/4 - 83*t[51] + (199*t[52])/4 - 
       91*t[53] + (327*t[54])/4 + 24*t[56] - 48*t[57] - 10*t[58] - 4*t[59] + 
       284*t[60] + 893*t[61] - 15*t[62] + 1429*t[63] - (1985*t[64])/2 - 
       1253*t[65] + 101*t[66] - 22*t[67] - 24*t[68] + 72*t[70] - 72*t[71] + 
       584*t[74] - 54*t[76] - 60*t[77] + 142*t[78] - 456*t[80] - 118*t[81] + 
       18*t[82] + 111*t[84] - 464*t[85] - 954*t[86] + 68*t[87] + 34*t[88] - 
       533*t[89] - 22*t[92] + 22*t[94] + 8*t[97] - 144*t[98] + 744*t[99] - 
       2148*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((123*t[1])/4 - (302*t[2])/3 + 
       (927*t[3])/4 + (751*t[4])/2 + (5833*t[5])/48 + (1823*t[6])/16 + 
       (1723*t[7])/24 - (3875*t[8])/24 - (22903*t[9])/48 - (3227*t[10])/8 + 
       (9829*t[11])/16 - (11825*t[12])/48 + (21563*t[13])/48 + 
       (13*t[14])/24 + (34687*t[15])/288 + (5*t[16])/2 - 5*t[17] - 4*t[18] + 
       3*t[19] + 30*t[20] + 8*t[21] + 2*t[22] - 13*t[23] + 16*t[24] + 
       49*t[25] - 36*t[26] - 24*t[27] - 9*t[28] - (73*t[29])/2 + 53*t[30] + 
       26*t[31] - 11*t[32] - 22*t[33] - (317*t[34])/2 - 64*t[35] + 55*t[36] - 
       24*t[37] + (83*t[38])/2 + (145*t[39])/2 - 77*t[40] + (39*t[41])/4 - 
       (31*t[42])/4 + (157*t[43])/2 + 124*t[44] + 51*t[45] - 9*t[46] - 
       45*t[47] - (1639*t[48])/48 - (125*t[49])/4 + (1433*t[50])/48 + 
       (99*t[51])/8 - (1169*t[52])/48 + (205*t[53])/4 - (3235*t[54])/16 + 
       9*t[59] + (15569*t[60])/24 + (9519*t[61])/8 + (15653*t[62])/48 + 
       (4915*t[63])/48 - (15967*t[64])/48 - (16517*t[65])/24 - 
       (32455*t[66])/24 + 2*t[67] - 18*t[68] - 6*t[69] - 8*t[70] + 8*t[71] - 
       120*t[72] + 78*t[73] - 11*t[74] - 68*t[75] - 93*t[76] + 3*t[77] + 
       58*t[78] - 74*t[79] - 42*t[80] + 75*t[81] - 256*t[82] - 288*t[83] + 
       (2603*t[84])/24 - (4333*t[85])/24 - 439*t[86] - (3221*t[87])/24 - 
       (6973*t[88])/48 + (765*t[89])/16 - 2*t[94] + 16*t[95] + 56*t[96] - 
       25*t[97] - 492*t[98] + 852*t[99] - 1107*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-3*t[1])/4 - (23*t[2])/2 - (2133*t[3])/8 + (8861*t[4])/24 - 
       (2979*t[5])/16 + (1665*t[6])/4 - (529*t[7])/8 + (3521*t[8])/8 + 
       (3311*t[9])/16 + (3745*t[10])/48 + (6833*t[11])/24 - (127*t[12])/3 + 
       (417*t[13])/8 + (70037*t[14])/96 - (14293*t[15])/288 + t[17] - 
       4*t[18] - (34*t[19])/3 - 3*t[20] + t[21] + 58*t[22] - t[23] - 
       41*t[24] + 14*t[25] + 26*t[26] - 84*t[27] + 27*t[28] - 15*t[30] + 
       57*t[31] - 31*t[32] + 28*t[33] - (293*t[34])/2 + 3*t[35] + 89*t[36] + 
       13*t[37] - (17*t[38])/2 + 2*t[39] + (69*t[40])/2 + t[41]/4 - 
       (9*t[42])/4 + (265*t[43])/4 - 57*t[44] + 30*t[45] - 76*t[46] + 
       45*t[47] + 234*t[48] + (7169*t[49])/48 - 145*t[50] - (3869*t[51])/96 + 
       (321*t[52])/2 - (4481*t[53])/48 + (3589*t[54])/24 + 2*t[56] - 
       8*t[57] + 23*t[58] + 9*t[59] + (15569*t[60])/24 + (9519*t[61])/8 + 
       (15653*t[62])/48 + (4915*t[63])/48 - (15967*t[64])/48 - 
       (16517*t[65])/24 - (32455*t[66])/24 + 2*t[67] - 18*t[68] - 6*t[69] - 
       8*t[70] + 8*t[71] - 120*t[72] + 78*t[73] - 11*t[74] - 68*t[75] - 
       93*t[76] + 3*t[77] + 58*t[78] - 74*t[79] - 42*t[80] + 75*t[81] - 
       256*t[82] - 288*t[83] + (2603*t[84])/24 - (4333*t[85])/24 - 
       439*t[86] - (3221*t[87])/24 - (6973*t[88])/48 + (765*t[89])/16 - 
       2*t[94] + 16*t[95] + 56*t[96] - 25*t[97] - 492*t[98] + 852*t[99] - 
       1107*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-121*t[1])/4 + (1161*t[2])/8 - (2185*t[3])/8 - (2067*t[4])/8 + 
       (475*t[5])/16 + t[6]/16 + (3621*t[7])/8 + (273*t[8])/4 + 
       (4203*t[9])/16 + (8769*t[10])/16 + (7633*t[11])/16 + (2121*t[12])/8 + 
       (3097*t[13])/18 + (79433*t[14])/96 + (23671*t[15])/96 + (33*t[16])/4 - 
       (3*t[17])/4 + 8*t[18] + 8*t[20] + 8*t[21] - 17*t[22] - 8*t[23] - 
       47*t[24] + (117*t[25])/2 + (51*t[26])/2 + (23*t[27])/2 + 24*t[28] + 
       22*t[29] - 24*t[30] - 12*t[31] + 5*t[32] - 60*t[33] + 104*t[34] - 
       (75*t[36])/2 - (89*t[38])/4 + 72*t[39] - (69*t[40])/4 + 29*t[41] - 
       25*t[42] + (247*t[43])/8 - 2*t[44] - 74*t[45] + (33*t[46])/4 + 
       (3*t[47])/4 - (1805*t[48])/16 + (431*t[49])/16 + (371*t[50])/16 - 
       (2069*t[51])/32 - (411*t[52])/16 - (431*t[53])/16 + (1743*t[54])/16 - 
       (3*t[56])/2 - 6*t[57] - 13*t[58] + (67*t[59])/8 + 528*t[60] + 
       (5037*t[61])/4 - (8357*t[62])/8 + (6683*t[63])/8 - (2809*t[64])/8 - 
       (1551*t[65])/8 - (28999*t[66])/24 - (3*t[67])/2 + (9*t[68])/2 - 
       12*t[69] - 28*t[70] + 28*t[71] + 88*t[72] - 30*t[73] + 51*t[74] + 
       30*t[75] + (91*t[76])/4 - (53*t[77])/2 + 92*t[78] + 12*t[79] + 
       (301*t[80])/2 + (119*t[81])/2 + 44*t[82] + 40*t[83] + (341*t[84])/8 - 
       70*t[85] + 76*t[86] - (853*t[87])/2 - (853*t[88])/4 - (3487*t[89])/8 - 
       3*t[90] + (3*t[92])/2 + 12*t[93] + (3*t[94])/2 + (83*t[97])/4 + 
       60*t[98] + 252*t[99] - 1029*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*((25*t[1])/8 - 2*t[2] - (409*t[3])/4 + 
       (413*t[4])/8 + (1447*t[5])/16 - (4759*t[6])/16 + (2907*t[7])/8 - 
       (1063*t[8])/2 + (8281*t[9])/16 - (6259*t[10])/16 + (7131*t[11])/16 - 
       (141*t[12])/4 + (6353*t[13])/36 + (25373*t[14])/96 - (709*t[15])/32 - 
       3*t[16] + (3*t[17])/2 + 23*t[18] + 12*t[19] + 52*t[20] + 32*t[21] - 
       127*t[22] - 34*t[23] + (169*t[24])/2 - (35*t[25])/2 - (289*t[26])/4 - 
       (129*t[27])/2 - 4*t[29] - 30*t[30] + 22*t[31] - 47*t[32] + 
       (111*t[33])/2 + (269*t[34])/4 - 18*t[36] - (115*t[38])/4 - 
       (135*t[39])/2 + (77*t[40])/2 - (149*t[41])/8 + (241*t[42])/8 - 
       (239*t[43])/8 - 38*t[44] + (59*t[45])/4 - (167*t[46])/4 + 39*t[47] + 
       (71*t[48])/16 + (1199*t[49])/16 + (1911*t[50])/16 + (491*t[51])/32 - 
       (2891*t[52])/16 - (1199*t[53])/16 - (1313*t[54])/16 - 6*t[56] + 
       (7*t[58])/4 + (67*t[59])/8 + 528*t[60] + (5037*t[61])/4 - 
       (8357*t[62])/8 + (6683*t[63])/8 - (2809*t[64])/8 - (1551*t[65])/8 - 
       (28999*t[66])/24 - (3*t[67])/2 + (9*t[68])/2 - 12*t[69] - 28*t[70] + 
       28*t[71] + 88*t[72] - 30*t[73] + 51*t[74] + 30*t[75] + (91*t[76])/4 - 
       (53*t[77])/2 + 92*t[78] + 12*t[79] + (301*t[80])/2 + (119*t[81])/2 + 
       44*t[82] + 40*t[83] + (341*t[84])/8 - 70*t[85] + 76*t[86] - 
       (853*t[87])/2 - (853*t[88])/4 - (3487*t[89])/8 - 3*t[90] + 
       (3*t[92])/2 + 12*t[93] + (3*t[94])/2 + (83*t[97])/4 + 60*t[98] + 
       252*t[99] - 1029*t[100]) + HPL[{0, 1}, 1 - v]*Qep[v, w, u]*
      (-80*t[1] + (160*t[2])/3 - (202*t[3])/3 + 72*t[4] + 29*t[5] + 
       (580*t[6])/3 - (332*t[7])/3 + 104*t[8] - 111*t[9] + (884*t[10])/3 - 
       (218*t[11])/3 - (19*t[12])/3 + (82*t[13])/3 + (1631*t[14])/9 + 
       (3473*t[15])/54 - (64*t[18])/3 + (64*t[20])/3 - (64*t[21])/3 + 
       (64*t[22])/3 + (64*t[23])/3 + (64*t[25])/3 - (64*t[26])/3 - 
       (64*t[27])/3 + (32*t[30])/3 + 32*t[31] + (64*t[33])/3 - (64*t[34])/3 - 
       (32*t[38])/3 - (64*t[39])/3 + (32*t[41])/3 - (64*t[42])/3 - 10*t[43] - 
       (32*t[44])/3 + (160*t[45])/3 - (112*t[46])/3 - 128*t[47] - 
       (64*t[48])/3 + (236*t[49])/3 - 22*t[51] + (64*t[52])/3 - 
       (236*t[53])/3 + (40*t[54])/3 - (32*t[58])/3 + 16*t[59] + 
       (440*t[60])/3 + (1292*t[61])/3 + (406*t[62])/3 + (1514*t[63])/3 - 
       738*t[64] - (4468*t[65])/9 + (220*t[66])/9 + (64*t[69])/3 + 64*t[70] - 
       64*t[71] + (32*t[73])/3 + (64*t[74])/3 - (32*t[75])/3 - (64*t[76])/3 + 
       (32*t[77])/3 + (64*t[78])/3 - (688*t[80])/3 + 16*t[81] - 80*t[82] - 
       (64*t[83])/3 + (160*t[84])/3 + (104*t[85])/3 - (760*t[86])/3 - 
       (616*t[87])/3 - (308*t[88])/3 - (748*t[89])/3 + 128*t[99] - 
       960*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (22*t[1] - (477*t[2])/8 + (669*t[3])/8 + (7461*t[4])/8 - 
       (6243*t[5])/16 - (153*t[6])/16 - (963*t[7])/8 - 543*t[8] + 
       (897*t[9])/16 - (4815*t[10])/16 + (6183*t[11])/16 - (831*t[12])/8 + 
       (14891*t[13])/48 + (6649*t[14])/32 - (16045*t[15])/96 - (33*t[16])/4 + 
       24*t[22] + 24*t[23] + 6*t[24] + 9*t[26] + 6*t[27] - 12*t[28] + 
       (21*t[29])/2 - 24*t[30] + 24*t[31] + (21*t[32])/2 - (21*t[33])/2 - 
       (81*t[34])/2 + 12*t[35] - (69*t[36])/2 - 15*t[37] + 3*t[38] + 
       (15*t[39])/2 + (9*t[40])/2 - (105*t[41])/4 - (3*t[42])/4 - 
       (327*t[43])/8 + (33*t[44])/4 + (111*t[45])/2 - 36*t[46] - 
       (51*t[47])/2 - (3573*t[48])/16 + (687*t[49])/16 + (39*t[50])/16 - 
       (471*t[51])/32 - (111*t[52])/16 - (687*t[53])/16 - (3789*t[54])/16 + 
       3*t[58] + (53*t[59])/4 + 693*t[60] + (77*t[61])/4 + (2469*t[62])/8 - 
       (2091*t[63])/8 - (11439*t[64])/8 - (5481*t[65])/8 - (20363*t[66])/24 + 
       (9*t[68])/2 - 24*t[69] - 54*t[70] + 54*t[71] - 12*t[72] + 126*t[73] - 
       12*t[74] - 114*t[75] + 102*t[76] + (3*t[77])/2 - (291*t[78])/2 - 
       114*t[79] - 276*t[80] + (519*t[81])/4 - (927*t[82])/4 - 147*t[83] + 
       (483*t[84])/8 + 318*t[85] - (831*t[86])/2 - (951*t[87])/2 - 
       (951*t[88])/4 - 108*t[89] + 12*t[92] - 12*t[93] - (3*t[97])/2 + 
       684*t[98] - 888*t[99] - 876*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(-15*t[1] - 5*t[2] - (153*t[3])/4 + 
       (1719*t[4])/8 - (3621*t[5])/16 + (5449*t[6])/16 - (345*t[7])/4 + 
       (129*t[8])/8 + (3441*t[9])/16 + (6033*t[10])/16 - (4779*t[11])/16 - 
       (1497*t[12])/8 + (171*t[13])/16 + (18049*t[14])/32 + (2713*t[15])/96 + 
       (3*t[17])/4 + 51*t[18] - 3*t[19] - 105*t[20] + 69*t[21] + 45*t[22] - 
       48*t[23] + (189*t[24])/2 + 6*t[25] + 6*t[26] + 42*t[28] + 24*t[29] - 
       30*t[30] + 54*t[31] + 6*t[32] + (45*t[33])/2 - (27*t[34])/2 - 
       48*t[35] - 6*t[37] - (9*t[38])/2 + (75*t[39])/2 - (69*t[40])/2 - 
       (19*t[41])/4 - (47*t[42])/4 - (63*t[43])/2 + 93*t[44] - (57*t[45])/4 - 
       30*t[46] - (111*t[47])/2 + (291*t[48])/16 + (2085*t[49])/16 - 
       (1749*t[50])/16 - (1595*t[51])/32 + (2685*t[52])/16 - 
       (2133*t[53])/16 - (1149*t[54])/16 + 3*t[56] + 12*t[57] + 3*t[58] + 
       (53*t[59])/4 + 693*t[60] + (77*t[61])/4 + (2469*t[62])/8 - 
       (2091*t[63])/8 - (11439*t[64])/8 - (5481*t[65])/8 - (20363*t[66])/24 + 
       (9*t[68])/2 - 24*t[69] - 54*t[70] + 54*t[71] - 12*t[72] + 126*t[73] - 
       12*t[74] - 114*t[75] + 102*t[76] + (3*t[77])/2 - (291*t[78])/2 - 
       114*t[79] - 276*t[80] + (519*t[81])/4 - (927*t[82])/4 - 147*t[83] + 
       (483*t[84])/8 + 318*t[85] - (831*t[86])/2 - (951*t[87])/2 - 
       (951*t[88])/4 - 108*t[89] + 12*t[92] - 12*t[93] - (3*t[97])/2 + 
       684*t[98] - 888*t[99] - 876*t[100]) + HPL[{0, 1}, 1 - w]*Qep[v, w, u]*
      ((80*t[1])/3 + (200*t[2])/3 - (212*t[3])/3 + (104*t[4])/3 - 
       (226*t[5])/3 - (124*t[6])/3 + (248*t[7])/3 - (472*t[8])/3 + 
       (502*t[9])/3 - 108*t[10] + (280*t[11])/3 - 110*t[12] - 
       (1396*t[13])/27 + (2152*t[14])/9 + (2021*t[15])/27 - (64*t[18])/3 - 
       (64*t[20])/3 - (64*t[21])/3 + (64*t[23])/3 - (128*t[24])/3 + 
       (64*t[25])/3 - (64*t[26])/3 - (64*t[27])/3 - (32*t[30])/3 - 
       (64*t[31])/3 - (64*t[33])/3 - (64*t[34])/3 - (32*t[38])/3 + 
       (64*t[39])/3 - 16*t[41] + (16*t[42])/3 + (116*t[43])/3 - 
       (32*t[44])/3 - (56*t[45])/3 + (16*t[46])/3 - (16*t[47])/3 + 
       (52*t[48])/3 + 20*t[49] + (52*t[50])/3 - (74*t[51])/3 + 4*t[52] - 
       20*t[53] + (20*t[54])/3 - (32*t[58])/3 + 32*t[59] - (80*t[60])/3 + 
       (1736*t[61])/3 - 112*t[62] + (1760*t[63])/3 - (512*t[64])/3 - 
       (3784*t[65])/9 - 200*t[66] - (64*t[69])/3 + (64*t[70])/3 - 
       (64*t[71])/3 - 32*t[73] + 32*t[74] + 32*t[75] - 32*t[76] + 
       (64*t[77])/3 + 32*t[78] - (128*t[80])/3 - (128*t[82])/3 + 
       (64*t[83])/3 + 32*t[84] - (160*t[85])/3 - (352*t[86])/3 - 32*t[87] - 
       16*t[88] - 224*t[89] - 128*t[98] + 256*t[99] - 768*t[100]) + 
     HPL[{0, 1}, 1 - v]*Qep[u, v, w]*((-272*t[1])/9 + (320*t[2])/9 - 
       (596*t[3])/9 + 224*t[4] - (2122*t[5])/9 + (560*t[6])/3 + 240*t[7] + 
       (1280*t[8])/9 + (2630*t[9])/9 - (2452*t[10])/9 + (1792*t[11])/9 + 
       (958*t[12])/9 + (15562*t[13])/81 + (1472*t[14])/9 - (1645*t[15])/27 + 
       (64*t[18])/9 + (128*t[20])/9 + (64*t[21])/9 - (320*t[22])/9 - 
       (64*t[23])/9 + (256*t[24])/9 + (256*t[25])/9 - (128*t[26])/9 - 
       (64*t[27])/3 - (32*t[29])/9 + (64*t[30])/3 + (128*t[31])/9 + 
       (128*t[32])/9 + (256*t[34])/9 + (32*t[36])/3 - (128*t[38])/9 - 
       (352*t[40])/9 + (112*t[41])/9 - (80*t[42])/9 - (308*t[43])/9 - 
       (160*t[44])/9 - (440*t[45])/9 - (352*t[46])/9 + 48*t[47] + 
       (100*t[48])/9 + (140*t[49])/3 + (172*t[50])/3 - (58*t[51])/9 - 
       (196*t[52])/9 - (140*t[53])/3 + (148*t[54])/9 + (32*t[58])/9 + 
       (16*t[59])/3 + (2704*t[60])/9 + (5848*t[61])/9 - (520*t[62])/3 - 
       (200*t[63])/3 - (760*t[64])/3 + (1192*t[65])/27 - (16984*t[66])/27 + 
       (64*t[69])/3 + (64*t[70])/9 - (64*t[71])/9 - (64*t[72])/9 + 32*t[73] - 
       32*t[74] - 32*t[75] - (160*t[76])/9 - (320*t[77])/9 + (448*t[78])/9 - 
       (512*t[80])/9 + (416*t[81])/9 - (800*t[82])/9 + (128*t[83])/9 + 
       (704*t[84])/9 + (32*t[85])/9 + (1088*t[86])/9 - (1376*t[87])/9 - 
       (688*t[88])/9 + (352*t[89])/9 - (32*t[97])/9 - (128*t[98])/3 + 
       256*t[99] - 768*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((9*t[1])/2 - 34*t[2] - (91*t[3])/4 + 
       (21*t[4])/2 - (315*t[5])/4 + (257*t[6])/4 - (13*t[7])/4 + 
       (397*t[8])/4 + 59*t[9] - 98*t[10] + 195*t[11] + 70*t[12] + 
       (3247*t[13])/24 + (2621*t[14])/24 - (367*t[15])/72 + 2*t[16] - 
       2*t[17] + 4*t[18] + 4*t[19] + 4*t[20] + 8*t[21] - 2*t[22] - 8*t[23] + 
       4*t[24] + 18*t[25] - 21*t[26] + 4*t[27] - 7*t[29] - 10*t[30] - 
       6*t[31] + 19*t[32] - 4*t[33] + t[34] + 2*t[36] - 8*t[37] + 5*t[38] + 
       13*t[39] + 4*t[40] - (5*t[41])/2 + (9*t[42])/2 - (59*t[43])/4 + 
       (15*t[44])/2 + (39*t[45])/2 - 17*t[46] - 35*t[47] - 6*t[48] - 
       (109*t[49])/4 - 42*t[50] + (181*t[51])/8 + 33*t[52] + (89*t[53])/4 + 
       69*t[54] + 2*t[55] + t[58] - (19*t[59])/2 + 211*t[60] + 
       (993*t[61])/2 - (335*t[62])/2 + (45*t[63])/2 - (121*t[64])/4 - 
       (11*t[65])/3 - (895*t[66])/2 + 4*t[67] + 4*t[68] - 2*t[69] - 2*t[70] + 
       2*t[71] + 34*t[72] + 8*t[74] - 3*t[76] + 29*t[78] + 76*t[80] + 
       34*t[81] - 3*t[82] + 75*t[84] - 34*t[85] - 2*t[86] - 80*t[87] - 
       5*t[88] - (161*t[89])/2 + 2*t[92] - 2*t[94] - 8*t[95] - 8*t[96] + 
       9*t[97] - 48*t[98] + 192*t[99] - 750*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*(-12*t[1] - 92*t[3] + 
       63*t[4] - 49*t[5] + 30*t[6] + (151*t[7])/4 + (653*t[8])/4 + 
       (373*t[9])/4 - 55*t[10] + (801*t[11])/4 + (429*t[12])/4 + 
       (1231*t[13])/24 + (347*t[14])/2 + (1613*t[15])/72 - 4*t[16] + 
       2*t[17] + 6*t[18] + 4*t[19] + 6*t[20] + 8*t[21] - 10*t[22] - 8*t[23] + 
       2*t[24] - 4*t[25] + 18*t[26] - 10*t[27] - 6*t[29] - 6*t[30] - 
       8*t[31] + 23*t[32] - 18*t[33] + 2*t[34] - 10*t[36] - 8*t[37] - 
       13*t[38] + 27*t[39] - 9*t[40] - 3*t[41] + 5*t[42] - (31*t[43])/4 - 
       27*t[44] + (25*t[45])/2 - 3*t[46] - 34*t[47] + (223*t[48])/4 + 
       (7*t[49])/4 - (9*t[50])/4 + 5*t[51] + (25*t[52])/4 + (29*t[53])/4 - 
       (95*t[54])/4 - 2*t[55] + 2*t[58] - (19*t[59])/2 + 211*t[60] + 
       (993*t[61])/2 - (335*t[62])/2 + (45*t[63])/2 - (121*t[64])/4 - 
       (11*t[65])/3 - (895*t[66])/2 + 4*t[67] + 4*t[68] - 2*t[69] - 2*t[70] + 
       2*t[71] + 34*t[72] + 8*t[74] - 3*t[76] + 29*t[78] + 76*t[80] + 
       34*t[81] - 3*t[82] + 75*t[84] - 34*t[85] - 2*t[86] - 80*t[87] - 
       5*t[88] - (161*t[89])/2 + 2*t[92] - 2*t[94] - 8*t[95] - 8*t[96] + 
       9*t[97] - 48*t[98] + 192*t[99] - 750*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*((33*t[1])/2 + 42*t[2] - 
       (67*t[3])/2 - 198*t[4] + 106*t[5] - (375*t[6])/4 + (1461*t[7])/4 + 
       (1059*t[8])/4 + (925*t[9])/4 - (759*t[10])/4 + 553*t[11] + 
       (31*t[12])/2 + (19085*t[13])/72 + (556*t[14])/3 + (325*t[15])/8 + 
       24*t[18] + 24*t[21] - 48*t[22] - 24*t[23] + 24*t[24] + 24*t[25] - 
       33*t[26] - 24*t[27] - 24*t[31] - 18*t[32] + 18*t[33] + 37*t[34] + 
       12*t[38] - 18*t[39] + 27*t[40] + (57*t[41])/2 - (33*t[42])/2 + 
       (269*t[43])/4 - 12*t[44] + (61*t[45])/2 + 35*t[46] + 57*t[47] - 
       3*t[48] - (101*t[49])/2 - 15*t[50] + (43*t[51])/2 - 36*t[52] + 
       (101*t[53])/2 + 172*t[54] + 3*t[58] + 9*t[59] + 247*t[60] + 
       1077*t[61] - (4973*t[62])/4 - (1007*t[63])/4 + (1771*t[64])/2 + 
       (1415*t[65])/3 - (8587*t[66])/6 - 7*t[67] - 4*t[69] - 28*t[70] + 
       28*t[71] + 46*t[74] + 87*t[76] - 12*t[78] + 204*t[79] + 662*t[80] + 
       16*t[81] + 23*t[82] + 12*t[83] + 88*t[84] - (299*t[85])/2 + 
       692*t[86] - (125*t[87])/2 - (125*t[88])/4 - 12*t[89] + 6*t[94] + 
       432*t[98] - 288*t[99] - 732*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*((87*t[1])/2 + 66*t[2] - 209*t[3] - 
       238*t[4] - (31*t[5])/4 - (291*t[6])/2 + (2077*t[7])/4 + (487*t[8])/4 + 
       (1179*t[9])/2 - (901*t[10])/4 + (2615*t[11])/4 + (761*t[12])/4 + 
       (27503*t[13])/72 + 426*t[14] - 46*t[15] + 24*t[18] + 4*t[21] + 
       14*t[22] + 18*t[24] + 24*t[25] - 24*t[26] - 24*t[27] - 108*t[31] + 
       18*t[32] - 18*t[33] + 113*t[34] - 6*t[38] + 18*t[39] - 45*t[40] - 
       (13*t[41])/2 + (5*t[42])/2 - (93*t[43])/4 - 12*t[44] - (141*t[45])/2 - 
       12*t[46] + 283*t[47] + (311*t[48])/4 + 3*t[49] + (551*t[50])/4 + 
       12*t[51] - (467*t[52])/4 - 3*t[53] - (167*t[54])/4 + 12*t[58] + 
       9*t[59] + 247*t[60] + 1077*t[61] - (4973*t[62])/4 - (1007*t[63])/4 + 
       (1771*t[64])/2 + (1415*t[65])/3 - (8587*t[66])/6 - 7*t[67] - 4*t[69] - 
       28*t[70] + 28*t[71] + 46*t[74] + 87*t[76] - 12*t[78] + 204*t[79] + 
       662*t[80] + 16*t[81] + 23*t[82] + 12*t[83] + 88*t[84] - 
       (299*t[85])/2 + 692*t[86] - (125*t[87])/2 - (125*t[88])/4 - 12*t[89] + 
       6*t[94] + 432*t[98] - 288*t[99] - 732*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*(-14*t[1] + t[2] - 
       (147*t[3])/2 + (375*t[4])/4 - (485*t[5])/8 + (327*t[6])/4 + 
       (461*t[7])/8 + (293*t[8])/8 + (421*t[9])/4 + (89*t[10])/4 + 
       (1409*t[11])/8 - (35*t[12])/2 + (4835*t[13])/144 + (2949*t[14])/16 + 
       (241*t[15])/6 - (7*t[16])/2 - (3*t[17])/2 - 2*t[18] + 8*t[19] - 
       6*t[20] - 10*t[21] + 2*t[22] + 14*t[23] - 4*t[24] + 9*t[25] - 
       12*t[26] - 9*t[27] + 18*t[29] + 2*t[30] - 6*t[31] + 4*t[32] - 
       6*t[33] - 5*t[34] - 7*t[36] + 2*t[38] + 6*t[39] - 4*t[40] + 4*t[41] - 
       3*t[42] - (43*t[43])/8 - t[44] + (115*t[45])/4 - 11*t[46] - 
       (119*t[47])/2 + (7*t[48])/8 + (179*t[49])/8 + (111*t[50])/8 - 
       (15*t[51])/16 - (71*t[52])/8 - (179*t[53])/8 + (43*t[54])/8 - t[58] + 
       3*t[59] + 217*t[60] + 516*t[61] - 104*t[62] + 218*t[63] - 
       (463*t[64])/2 - (566*t[65])/3 - (866*t[66])/3 + 4*t[67] + 13*t[68] - 
       2*t[69] + 8*t[70] - 8*t[71] + 12*t[72] + 10*t[74] - 18*t[76] - 
       8*t[77] + 56*t[78] - 88*t[80] + 28*t[81] - 48*t[82] + 60*t[84] - 
       36*t[85] - 89*t[86] - 117*t[87] - (117*t[88])/2 - (525*t[89])/4 + 
       t[90] + t[92] - t[94] - 120*t[98] + 264*t[99] - 726*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*(3*t[1] + 15*t[2] - 
       (177*t[3])/2 + (461*t[4])/4 - (589*t[5])/8 + 69*t[6] + (385*t[7])/8 + 
       (265*t[8])/8 + (403*t[9])/4 + 20*t[10] + (1235*t[11])/8 + 
       (29*t[12])/4 + (1727*t[13])/144 + (3635*t[14])/16 + (82*t[15])/3 - 
       (7*t[16])/2 - (7*t[17])/2 - 6*t[18] + 6*t[19] - 6*t[20] - 14*t[21] + 
       2*t[22] + 10*t[23] - 10*t[24] + 9*t[25] - 8*t[26] - 9*t[27] + 
       6*t[29] + 2*t[30] - 8*t[31] - 4*t[32] - 6*t[33] + 23*t[34] - 7*t[36] + 
       2*t[38] + 6*t[39] + 4*t[40] - 4*t[41] + 5*t[42] - (23*t[43])/8 - 
       10*t[44] + (47*t[45])/4 - 10*t[46] - (43*t[47])/2 + (77*t[48])/8 + 
       (233*t[49])/8 + (29*t[50])/8 - (133*t[51])/16 - (213*t[52])/8 - 
       (233*t[53])/8 + (121*t[54])/8 - t[58] + 3*t[59] + 217*t[60] + 
       516*t[61] - 104*t[62] + 218*t[63] - (463*t[64])/2 - (566*t[65])/3 - 
       (866*t[66])/3 + 4*t[67] + 13*t[68] - 2*t[69] + 8*t[70] - 8*t[71] + 
       12*t[72] + 10*t[74] - 18*t[76] - 8*t[77] + 56*t[78] - 88*t[80] + 
       28*t[81] - 48*t[82] + 60*t[84] - 36*t[85] - 89*t[86] - 117*t[87] - 
       (117*t[88])/2 - (525*t[89])/4 + t[90] + t[92] - t[94] - 120*t[98] + 
       264*t[99] - 726*t[100]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w]*
      (275*t[2] - 360*t[3] + 400*t[4] - 875*t[5] - 655*t[6] + 1070*t[7] - 
       670*t[8] + 1405*t[9] - 860*t[10] + 1360*t[11] + 475*t[12] - 
       (205*t[13])/3 + (2465*t[14])/3 - (2915*t[15])/6 - 160*t[18] + 
       240*t[21] - 320*t[23] + 305*t[41] - 305*t[42] + 240*t[43] - 70*t[45] + 
       960*t[47] + 60*t[48] + 60*t[50] - 60*t[52] - 60*t[54] + 305*t[59] + 
       600*t[60] + 2755*t[61] - 1635*t[62] + 425*t[63] + 1135*t[64] - 
       (1300*t[65])/3 - (9640*t[66])/3 + 40*t[67] - 240*t[70] + 240*t[71] + 
       80*t[74] + 960*t[80] - 40*t[81] + 40*t[82] + 60*t[84] - 120*t[85] + 
       820*t[86] + 360*t[89] - 720*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - v]*(135*t[1] + 60*t[2] - 300*t[3] - 
       400*t[4] + 875*t[5] + 960*t[6] + 505*t[7] + 545*t[8] - 540*t[9] - 
       395*t[10] + 1330*t[11] - 990*t[12] + 805*t[13] + (2705*t[14])/3 + 
       570*t[15] + 445*t[43] + 40*t[46] - 30*t[51] + 120*t[54] + 305*t[59] + 
       600*t[60] + 2755*t[61] - 1635*t[62] + 425*t[63] + 1135*t[64] - 
       (1300*t[65])/3 - (9640*t[66])/3 + 40*t[67] - 240*t[70] + 240*t[71] + 
       80*t[74] + 960*t[80] - 40*t[81] + 40*t[82] + 60*t[84] - 120*t[85] + 
       820*t[86] + 360*t[89] - 720*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*((33*t[1])/2 - (151*t[2])/4 - (91*t[3])/2 + 
       (151*t[4])/4 - (191*t[5])/8 + (189*t[6])/4 + 20*t[7] + (203*t[8])/4 + 
       (277*t[9])/8 - (471*t[10])/8 + (531*t[11])/4 - 29*t[12] + 
       (395*t[13])/9 + (1683*t[14])/16 + (1393*t[15])/48 - (3*t[16])/2 - 
       4*t[19] - 2*t[21] + 2*t[23] + 26*t[25] - 36*t[26] - 6*t[27] - 
       8*t[30] - 8*t[31] + 8*t[35] - 5*t[36] + 10*t[38] + 8*t[39] + t[40] + 
       t[41] - t[42] + 5*t[43] - 2*t[44] + 10*t[45] + t[46] - 28*t[47] + 
       (81*t[48])/4 - (167*t[49])/8 - (123*t[50])/4 + (205*t[51])/16 + 
       (83*t[52])/4 + (79*t[53])/8 + 24*t[54] - 5*t[59] + 232*t[60] + 
       (1415*t[61])/4 - (139*t[62])/4 + (255*t[63])/4 + (319*t[64])/8 - 
       (233*t[65])/2 - (369*t[66])/2 + 4*t[67] + (3*t[68])/2 + 2*t[70] - 
       t[71] + 22*t[72] + 10*t[74] + 4*t[75] - 18*t[76] - t[77] + 39*t[78] + 
       8*t[79] - 10*t[80] + 12*t[81] - 21*t[82] - 15*t[83] + 43*t[84] - 
       (95*t[85])/2 - 64*t[86] - (141*t[87])/2 - (77*t[88])/4 - 
       (381*t[89])/8 + (3*t[90])/2 - 4*t[95] - 4*t[96] + 5*t[97] - 
       120*t[98] + 248*t[99] - 652*t[100]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*((3*t[1])/2 + (117*t[2])/2 - (473*t[3])/4 + 
       55*t[4] + (7*t[5])/4 + (345*t[6])/4 - (65*t[7])/2 + (329*t[8])/2 - 
       (61*t[9])/4 - 89*t[10] + (369*t[11])/4 + (67*t[12])/4 + (82*t[13])/3 + 
       143*t[14] + (1051*t[15])/36 + 2*t[18] + 8*t[19] + 10*t[20] + 8*t[21] - 
       10*t[22] - 4*t[23] + 6*t[24] - 16*t[27] - 7*t[29] + 8*t[31] + 
       23*t[32] - 8*t[33] + 7*t[34] + 4*t[35] + 18*t[39] - 4*t[40] + 
       4*t[41] - 4*t[42] + 2*t[43] - (63*t[44])/2 + 7*t[45] - 4*t[46] - 
       23*t[47] + (155*t[48])/4 + 7*t[49] - (97*t[50])/4 - (3*t[51])/2 + 
       (109*t[52])/4 - 7*t[53] + (175*t[54])/4 - 5*t[59] + 232*t[60] + 
       (1415*t[61])/4 - (139*t[62])/4 + (255*t[63])/4 + (319*t[64])/8 - 
       (233*t[65])/2 - (369*t[66])/2 + 4*t[67] + (3*t[68])/2 + 2*t[70] - 
       t[71] + 22*t[72] + 10*t[74] + 4*t[75] - 18*t[76] - t[77] + 39*t[78] + 
       8*t[79] - 10*t[80] + 12*t[81] - 21*t[82] - 15*t[83] + 43*t[84] - 
       (95*t[85])/2 - 64*t[86] - (141*t[87])/2 - (77*t[88])/4 - 
       (381*t[89])/8 + (3*t[90])/2 - 4*t[95] - 4*t[96] + 5*t[97] - 
       120*t[98] + 248*t[99] - 652*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*(-17*t[1] - (253*t[2])/12 - 
       (2545*t[3])/24 + (2041*t[4])/24 - (803*t[5])/8 + (6967*t[6])/48 - 
       (21*t[7])/4 + (821*t[8])/4 + (857*t[9])/4 + (1109*t[10])/16 + 
       (1013*t[11])/16 + (547*t[12])/16 + (15761*t[13])/144 + 
       (56731*t[14])/288 + (271*t[15])/18 - (5*t[17])/2 - (17*t[18])/3 + 
       (13*t[19])/3 - 4*t[20] - 5*t[21] + 6*t[22] - (4*t[23])/3 + 15*t[24] - 
       2*t[25] - 5*t[26] - 6*t[27] + 3*t[28] - 6*t[29] - t[30] + 2*t[31] + 
       4*t[32] - 4*t[33] + 86*t[34] + 43*t[35] - 12*t[36] - 8*t[37] - 
       23*t[38] + 7*t[39] - (265*t[40])/6 - 8*t[41] + (53*t[42])/6 - 
       (29*t[43])/2 - 39*t[44] - (347*t[45])/4 - (23*t[46])/2 + 71*t[47] + 
       (117*t[48])/16 + (1015*t[49])/16 + (325*t[50])/16 - (1051*t[51])/32 + 
       (491*t[52])/16 - (3029*t[53])/48 + (491*t[54])/48 + t[56] + 4*t[57] - 
       t[58] + (127*t[59])/4 + (417*t[60])/4 + (2791*t[61])/12 - 
       (641*t[62])/8 + (2507*t[63])/8 - (2199*t[64])/8 - (1183*t[65])/18 - 
       (3481*t[66])/18 - t[67]/2 + (3*t[68])/2 + 20*t[69] + 6*t[70] - 
       6*t[71] + 35*t[72] - 12*t[73] - 3*t[74] + 17*t[75] + (533*t[76])/6 + 
       18*t[77] - 37*t[78] - 44*t[79] + 81*t[80] + (337*t[81])/6 - 
       (67*t[82])/2 + 103*t[83] - (79*t[84])/4 + (845*t[85])/12 + 
       (15*t[86])/2 - (757*t[87])/4 - (757*t[88])/8 - (579*t[89])/4 - 
       t[90]/2 + 4*t[95] + (29*t[97])/2 + 588*t[98] - 540*t[99] - 
       603*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-113*t[1])/12 + (739*t[2])/6 - (1679*t[3])/48 - (1035*t[4])/8 + 
       (24157*t[5])/96 - (85*t[6])/8 + (291*t[7])/16 - (4387*t[8])/48 - 
       (24329*t[9])/96 + (4025*t[10])/12 + (319*t[11])/12 - 
       (15475*t[12])/96 - (36733*t[13])/864 + (1315*t[14])/8 + 
       (85855*t[15])/576 + t[16]/2 - t[17] - (29*t[18])/3 - (4*t[20])/3 - 
       (29*t[21])/3 + (19*t[22])/3 + (29*t[23])/3 - (53*t[24])/3 + 
       (16*t[25])/3 + (10*t[26])/3 - 9*t[27] - (23*t[29])/3 + 8*t[30] + 
       (20*t[31])/3 - (40*t[32])/3 - 10*t[33] + (7*t[34])/3 - 16*t[36] + 
       (17*t[38])/6 + 14*t[39] + (74*t[40])/3 - (125*t[41])/12 + 
       (67*t[42])/12 + (809*t[43])/24 + (13*t[44])/6 + (599*t[45])/24 + 
       (41*t[46])/12 - (433*t[47])/4 - (1481*t[48])/48 + (567*t[49])/16 - 
       (75*t[50])/16 - (2651*t[51])/96 - (847*t[52])/48 - (567*t[53])/16 + 
       (1855*t[54])/48 + 4*t[56] + 8*t[57] - (41*t[58])/6 + 11*t[59] + 
       (253*t[60])/3 + (5321*t[61])/24 - (935*t[62])/16 + (9087*t[63])/16 - 
       (6121*t[64])/16 - (24667*t[65])/72 + (14785*t[66])/72 - 4*t[67] - 
       5*t[68] + (82*t[70])/3 - (82*t[71])/3 - (19*t[72])/3 - 32*t[73] + 
       128*t[74] + 32*t[75] + (247*t[76])/6 + (28*t[77])/3 - (139*t[78])/6 - 
       4*t[79] - (385*t[80])/6 - (131*t[81])/6 + (251*t[82])/6 + 
       (47*t[83])/3 + (71*t[84])/12 - (257*t[85])/6 - (3025*t[86])/12 - 
       (493*t[87])/6 - (493*t[88])/12 - (578*t[89])/3 - 4*t[92] - 4*t[93] + 
       4*t[94] + (22*t[97])/3 + 244*t[98] - 222*t[99] - 524*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-257*t[1])/12 + (443*t[2])/4 - (6613*t[3])/48 + (143*t[4])/8 - 
       (9433*t[5])/96 - (3071*t[6])/48 + (531*t[7])/8 - 136*t[8] + 
       (25715*t[9])/96 - (1613*t[10])/16 - (151*t[11])/8 - (6161*t[12])/96 - 
       (25957*t[13])/216 + (16243*t[14])/72 + (14959*t[15])/576 - 
       (5*t[17])/2 - (41*t[18])/3 - 4*t[19] - (32*t[20])/3 - (41*t[21])/3 + 
       (104*t[22])/3 + (38*t[23])/3 + (56*t[24])/3 + 11*t[25] - 
       (77*t[26])/2 - (10*t[27])/3 - 8*t[28] + (8*t[29])/3 + 9*t[30] + 
       (31*t[32])/3 - 32*t[33] + (151*t[34])/3 - 3*t[36] - (91*t[38])/6 + 
       28*t[39] - 29*t[40] + (43*t[41])/12 - (125*t[42])/12 - 
       (455*t[43])/48 - (107*t[44])/6 - (61*t[45])/12 + (65*t[46])/4 - 
       (113*t[47])/2 + (363*t[48])/16 + (1027*t[49])/48 + (2297*t[50])/48 - 
       (3733*t[51])/96 + (743*t[52])/48 - (1027*t[53])/48 + (833*t[54])/48 + 
       6*t[56] - 16*t[57] - (17*t[58])/3 + 11*t[59] + (253*t[60])/3 + 
       (5321*t[61])/24 - (935*t[62])/16 + (9087*t[63])/16 - (6121*t[64])/16 - 
       (24667*t[65])/72 + (14785*t[66])/72 - 4*t[67] - 5*t[68] + 
       (82*t[70])/3 - (82*t[71])/3 - (19*t[72])/3 - 32*t[73] + 128*t[74] + 
       32*t[75] + (247*t[76])/6 + (28*t[77])/3 - (139*t[78])/6 - 4*t[79] - 
       (385*t[80])/6 - (131*t[81])/6 + (251*t[82])/6 + (47*t[83])/3 + 
       (71*t[84])/12 - (257*t[85])/6 - (3025*t[86])/12 - (493*t[87])/6 - 
       (493*t[88])/12 - (578*t[89])/3 - 4*t[92] - 4*t[93] + 4*t[94] + 
       (22*t[97])/3 + 244*t[98] - 222*t[99] - 524*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*(-11*t[1] + 75*t[2] - 
       (225*t[3])/4 + (211*t[4])/4 - (259*t[5])/4 - (191*t[6])/8 + 142*t[7] - 
       128*t[8] + (217*t[9])/2 - (373*t[10])/8 + (1299*t[11])/8 + 
       (537*t[12])/8 + (511*t[13])/12 + (7765*t[14])/48 + (251*t[15])/36 - 
       t[16] + t[17] + 4*t[18] + 4*t[21] - 12*t[22] - 4*t[23] - 16*t[24] + 
       16*t[25] + 20*t[26] - 8*t[27] - 4*t[28] - 3*t[29] + 4*t[30] + 
       4*t[31] - 8*t[32] - 24*t[33] + 26*t[34] + 8*t[35] - 6*t[36] + 
       4*t[37] - 12*t[38] + 20*t[39] + 8*t[40] - 4*t[41] + 6*t[42] - 
       t[43]/2 - (9*t[44])/2 - 55*t[45] - 12*t[46] + 52*t[47] - 
       (149*t[48])/8 + (105*t[49])/8 + (31*t[50])/8 - (31*t[51])/16 - 
       (111*t[52])/8 - (121*t[53])/8 + (87*t[54])/8 - 4*t[57] - 3*t[59] + 
       (435*t[60])/2 + (463*t[61])/2 - (443*t[62])/4 + (615*t[63])/4 - 
       (87*t[64])/4 - (343*t[65])/3 - (988*t[66])/3 - 2*t[67] - 2*t[68] - 
       8*t[70] + 8*t[71] - 2*t[72] + 48*t[74] + 15*t[76] - 16*t[77] + 
       15*t[78] + 64*t[80] + 43*t[81] - 19*t[82] + 14*t[83] + 31*t[84] + 
       (17*t[85])/2 + 36*t[86] - (265*t[87])/2 - (265*t[88])/4 - 
       (247*t[89])/4 - 2*t[92] + 2*t[94] + 4*t[97] + 144*t[98] - 24*t[99] - 
       492*t[100]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-4*t[1] - (45*t[2])/2 - (349*t[3])/4 + (67*t[4])/4 - (5*t[5])/4 - 
       (23*t[6])/8 - 18*t[7] + 97*t[8] + 99*t[9] - (989*t[10])/8 + 
       (995*t[11])/8 - (563*t[12])/8 + (995*t[13])/12 + (1935*t[14])/16 + 
       (112*t[15])/3 + 2*t[16] - 2*t[17] + 4*t[18] - 4*t[19] - 4*t[20] + 
       34*t[22] - 2*t[23] + 30*t[24] + 6*t[25] - 35*t[26] - 14*t[27] - 
       8*t[28] + t[29] - 18*t[30] - 4*t[31] - 6*t[32] - 4*t[33] + 18*t[34] + 
       4*t[35] + 8*t[36] + 4*t[37] - 2*t[38] + 4*t[40] - 3*t[41] + 5*t[42] - 
       (17*t[43])/2 - (53*t[44])/2 + 37*t[45] - 18*t[46] - 54*t[47] + 
       (39*t[48])/8 + (289*t[49])/8 - (85*t[50])/8 - (47*t[51])/16 + 
       (213*t[52])/8 - (289*t[53])/8 + (35*t[54])/8 + 4*t[56] - 4*t[57] - 
       3*t[58] - 3*t[59] + (435*t[60])/2 + (463*t[61])/2 - (443*t[62])/4 + 
       (615*t[63])/4 - (87*t[64])/4 - (343*t[65])/3 - (988*t[66])/3 - 
       2*t[67] - 2*t[68] - 8*t[70] + 8*t[71] - 2*t[72] + 48*t[74] + 
       15*t[76] - 16*t[77] + 15*t[78] + 64*t[80] + 43*t[81] - 19*t[82] + 
       14*t[83] + 31*t[84] + (17*t[85])/2 + 36*t[86] - (265*t[87])/2 - 
       (265*t[88])/4 - (247*t[89])/4 - 2*t[92] + 2*t[94] + 4*t[97] + 
       144*t[98] - 24*t[99] - 492*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((135*t[1])/8 - (303*t[2])/4 + 219*t[3] + 
       (255*t[4])/2 + (189*t[5])/8 - (8415*t[6])/32 + (549*t[7])/4 - 
       (1461*t[8])/8 - (273*t[9])/16 - (4407*t[10])/16 + (26211*t[11])/32 + 
       (1891*t[12])/16 + (27875*t[13])/48 - (41*t[14])/16 - (1263*t[15])/32 + 
       36*t[18] + 39*t[19] - 21*t[20] + 9*t[21] - 12*t[22] - (45*t[23])/2 + 
       48*t[24] - 3*t[25] - (81*t[26])/4 - 6*t[27] + 9*t[28] + 
       (255*t[29])/4 - (147*t[30])/4 - 9*t[31] - 42*t[32] + 33*t[33] - 
       (165*t[34])/4 - 3*t[35] + 42*t[36] - 18*t[37] + (45*t[38])/2 - 
       (3*t[39])/2 + (39*t[40])/8 + (147*t[41])/8 - (63*t[42])/8 - 
       (681*t[43])/8 + (339*t[44])/4 - (447*t[45])/8 - (81*t[46])/4 + 
       (459*t[47])/2 - (2277*t[48])/32 + (201*t[49])/16 + (639*t[50])/32 + 
       (825*t[51])/32 - (1719*t[52])/32 - (201*t[53])/16 - (7083*t[54])/32 + 
       (15*t[58])/4 - (201*t[59])/8 + (981*t[60])/16 + (19253*t[61])/16 - 
       (32013*t[62])/32 - (8283*t[63])/32 + (10683*t[64])/32 + 
       (28313*t[65])/48 - (25915*t[66])/16 + 9*t[68] - 36*t[69] - 39*t[70] + 
       39*t[71] + 9*t[72] + 123*t[73] - (141*t[74])/2 - 102*t[75] + 
       (345*t[76])/2 - 36*t[77] - (417*t[78])/4 + 18*t[79] + 270*t[80] + 
       (81*t[81])/2 - (441*t[82])/4 - 63*t[83] + (501*t[84])/16 + 
       (1503*t[85])/16 + (1455*t[86])/4 - (3747*t[87])/16 - (4995*t[88])/32 - 
       (6609*t[89])/32 - 3*t[95] + 9*t[96] + (9*t[97])/4 + 432*t[98] - 
       357*t[99] - 465*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 
       1 - w]*((15*t[1])/4 + (489*t[2])/8 - (1431*t[3])/8 - (5583*t[4])/16 - 
       (381*t[5])/4 + (3855*t[6])/16 + (7455*t[7])/16 + (7755*t[8])/16 + 
       (10539*t[9])/16 - (3429*t[10])/32 + (6483*t[11])/16 + 
       (12813*t[12])/32 + (11753*t[13])/48 + (127423*t[14])/192 + 
       (115*t[15])/2 + (51*t[18])/2 + (3*t[19])/2 + 24*t[20] + 39*t[21] - 
       3*t[22] - 33*t[23] + 3*t[24] + 3*t[25] + (171*t[26])/4 - 12*t[27] + 
       3*t[28] - 2*t[29] - 51*t[30] - 33*t[31] + 24*t[32] - 24*t[33] + 
       (141*t[34])/2 + 3*t[35] + (15*t[36])/2 + (9*t[37])/2 - (99*t[38])/2 + 
       21*t[39] - (177*t[40])/4 - (51*t[41])/2 + (117*t[42])/4 - 
       (699*t[43])/16 + 33*t[44] - 45*t[45] + (75*t[46])/4 + (483*t[47])/2 + 
       (549*t[48])/16 - (4029*t[49])/32 - (147*t[50])/16 + (1509*t[51])/64 + 
       (555*t[52])/16 + (4413*t[53])/32 + (1269*t[54])/8 - (3*t[56])/2 + 
       6*t[57] + (27*t[58])/4 - (201*t[59])/8 + (981*t[60])/16 + 
       (19253*t[61])/16 - (32013*t[62])/32 - (8283*t[63])/32 + 
       (10683*t[64])/32 + (28313*t[65])/48 - (25915*t[66])/16 + 9*t[68] - 
       36*t[69] - 39*t[70] + 39*t[71] + 9*t[72] + 123*t[73] - (141*t[74])/2 - 
       102*t[75] + (345*t[76])/2 - 36*t[77] - (417*t[78])/4 + 18*t[79] + 
       270*t[80] + (81*t[81])/2 - (441*t[82])/4 - 63*t[83] + (501*t[84])/16 + 
       (1503*t[85])/16 + (1455*t[86])/4 - (3747*t[87])/16 - (4995*t[88])/32 - 
       (6609*t[89])/32 - 3*t[95] + 9*t[96] + (9*t[97])/4 + 432*t[98] - 
       357*t[99] - 465*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 
       1 - v]*((-113*t[1])/12 + (465*t[2])/8 - (4405*t[3])/48 - 
       (207*t[4])/4 + (11*t[5])/96 + (239*t[6])/24 + (285*t[7])/2 + 
       (43*t[8])/2 + (8903*t[9])/96 + (1327*t[10])/8 + (2363*t[11])/16 + 
       (5605*t[12])/96 + (5389*t[13])/108 + (79687*t[14])/288 + 
       (46627*t[15])/576 + (11*t[16])/4 - t[17]/4 + t[18]/3 + (4*t[20])/3 + 
       t[21]/3 - (16*t[22])/3 - t[23]/3 - (61*t[24])/3 + (35*t[25])/2 + 
       (13*t[26])/2 + (13*t[27])/6 + 8*t[28] + (23*t[29])/3 - 8*t[30] - 
       4*t[31] + (13*t[32])/3 - 24*t[33] + (79*t[34])/3 - (23*t[36])/2 - 
       (71*t[38])/12 + 28*t[39] - (31*t[40])/4 + (79*t[41])/12 - 
       (77*t[42])/12 + (541*t[43])/48 - (5*t[44])/6 - (283*t[45])/12 - 
       (3*t[46])/2 - (33*t[47])/4 - (127*t[48])/4 + (407*t[49])/24 + 
       (113*t[50])/12 - (1061*t[51])/48 - (103*t[52])/12 - (407*t[53])/24 + 
       (181*t[54])/6 - t[56]/2 - 2*t[57] - (25*t[58])/6 - (9*t[59])/8 + 
       (544*t[60])/3 + (9995*t[61])/24 - (4775*t[62])/16 + (4395*t[63])/16 - 
       (2705*t[64])/16 - (1070*t[65])/9 - (13861*t[66])/36 - t[67]/2 + 
       (3*t[68])/2 - 4*t[69] - (14*t[70])/3 + (14*t[71])/3 + (77*t[72])/3 - 
       8*t[73] + 21*t[74] + 8*t[75] + (59*t[76])/12 - (31*t[77])/6 + 
       (106*t[78])/3 + 4*t[79] + (61*t[80])/3 + (127*t[81])/6 + (4*t[82])/3 + 
       (35*t[83])/3 + (601*t[84])/24 - (76*t[85])/3 + (65*t[86])/12 - 
       (877*t[87])/6 - (877*t[88])/12 - (3637*t[89])/24 - t[90] + t[92]/2 + 
       4*t[93] + t[94]/2 + (67*t[97])/12 + 16*t[98] + 138*t[99] - 
       457*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((23*t[1])/24 + (25*t[2])/6 - (1985*t[3])/48 + 31*t[4] + 
       (2581*t[5])/96 - (1213*t[6])/16 + (1655*t[7])/16 - (7033*t[8])/48 + 
       (14407*t[9])/96 - (5941*t[10])/48 + (6061*t[11])/48 - 
       (3541*t[12])/96 + (49913*t[13])/864 + (3283*t[14])/32 + 
       (1159*t[15])/576 - t[16] + t[17]/2 + (16*t[18])/3 + 4*t[19] + 
       (56*t[20])/3 + (25*t[21])/3 - (217*t[22])/6 - (25*t[23])/3 + 
       (155*t[24])/6 - (25*t[25])/6 - (341*t[26])/12 - (39*t[27])/2 - 
       (8*t[29])/3 - 9*t[30] + (23*t[31])/3 - (31*t[32])/3 + (29*t[33])/2 + 
       (169*t[34])/12 - 5*t[36] - (65*t[38])/12 - (37*t[39])/2 + 
       (49*t[40])/6 - (157*t[41])/24 + (221*t[42])/24 - (23*t[43])/3 - 
       (77*t[44])/6 + (287*t[45])/24 - (49*t[46])/3 - (27*t[47])/4 + 
       (71*t[48])/24 + (119*t[49])/4 + (273*t[50])/8 + (61*t[51])/24 - 
       (1205*t[52])/24 - (119*t[53])/4 - (481*t[54])/24 - 2*t[56] - 
       (7*t[58])/12 - (9*t[59])/8 + (544*t[60])/3 + (9995*t[61])/24 - 
       (4775*t[62])/16 + (4395*t[63])/16 - (2705*t[64])/16 - (1070*t[65])/9 - 
       (13861*t[66])/36 - t[67]/2 + (3*t[68])/2 - 4*t[69] - (14*t[70])/3 + 
       (14*t[71])/3 + (77*t[72])/3 - 8*t[73] + 21*t[74] + 8*t[75] + 
       (59*t[76])/12 - (31*t[77])/6 + (106*t[78])/3 + 4*t[79] + 
       (61*t[80])/3 + (127*t[81])/6 + (4*t[82])/3 + (35*t[83])/3 + 
       (601*t[84])/24 - (76*t[85])/3 + (65*t[86])/12 - (877*t[87])/6 - 
       (877*t[88])/12 - (3637*t[89])/24 - t[90] + t[92]/2 + 4*t[93] + 
       t[94]/2 + (67*t[97])/12 + 16*t[98] + 138*t[99] - 457*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-27*t[1])/2 - 4*t[2] - (25*t[3])/2 + (131*t[4])/4 - (259*t[5])/4 + 
       (91*t[6])/16 + (21*t[7])/4 + (35*t[8])/2 + 22*t[9] - (165*t[10])/8 + 
       (1503*t[11])/16 + (207*t[12])/4 + (755*t[13])/18 + (3745*t[14])/48 + 
       (373*t[15])/24 + (3*t[16])/2 + (17*t[25])/2 - (5*t[26])/2 - 5*t[27] + 
       18*t[30] - 4*t[31] - (25*t[37])/2 - 9*t[38] + (3*t[39])/2 + 
       (19*t[40])/2 - 3*t[43] - 8*t[44] + (9*t[45])/2 + (5*t[46])/4 - 
       9*t[47] + (47*t[48])/16 - (165*t[49])/8 - (257*t[50])/16 + 
       (19*t[51])/8 + (81*t[52])/16 + (105*t[53])/8 + (229*t[54])/16 + 
       (13*t[59])/4 + (959*t[60])/8 + 304*t[61] - (1259*t[62])/16 + 
       (1711*t[63])/16 - (97*t[64])/2 - (185*t[65])/2 - (400*t[66])/3 + 
       t[68] + 6*t[70] - 6*t[71] + 14*t[72] + 3*t[74] - 36*t[76] - 14*t[77] + 
       (125*t[78])/2 - 9*t[80] + (17*t[81])/4 - (23*t[82])/4 + 
       (101*t[84])/4 - (447*t[85])/8 - 21*t[86] - (245*t[87])/8 + 
       (203*t[88])/16 - (253*t[89])/4 + t[90]/2 - 6*t[95] - 5*t[96] + 
       (11*t[97])/2 - 204*t[98] + 336*t[99] - 453*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((19*t[1])/4 - (73*t[2])/8 - (201*t[3])/4 + (17*t[4])/2 - 
       (59*t[5])/16 + 64*t[6] - (41*t[7])/4 + 148*t[8] - (99*t[9])/16 + 
       7*t[10] + (413*t[11])/8 + (153*t[12])/16 + (817*t[13])/72 + 
       (4825*t[14])/48 + (905*t[15])/32 - t[17]/4 - 3*t[19] + 6*t[20] + 
       6*t[21] - 4*t[22] - 7*t[23] + 5*t[24] - 12*t[27] - 13*t[29] + 
       3*t[30] + (31*t[32])/2 + (21*t[33])/2 - (9*t[34])/2 + 3*t[39] - 
       5*t[40] + t[41]/4 - t[42]/4 - (9*t[43])/4 + (39*t[44])/2 + 10*t[45] - 
       3*t[46] - 27*t[47] + (165*t[48])/4 + (39*t[49])/4 - t[50]/4 + 
       (7*t[51])/8 + (75*t[52])/4 - (39*t[53])/4 + (187*t[54])/4 + t[55] + 
       (13*t[59])/4 + (959*t[60])/8 + 304*t[61] - (1259*t[62])/16 + 
       (1711*t[63])/16 - (97*t[64])/2 - (185*t[65])/2 - (400*t[66])/3 + 
       t[68] + 6*t[70] - 6*t[71] + 14*t[72] + 3*t[74] - 36*t[76] - 14*t[77] + 
       (125*t[78])/2 - 9*t[80] + (17*t[81])/4 - (23*t[82])/4 + 
       (101*t[84])/4 - (447*t[85])/8 - 21*t[86] - (245*t[87])/8 + 
       (203*t[88])/16 - (253*t[89])/4 + t[90]/2 - 6*t[95] - 5*t[96] + 
       (11*t[97])/2 - 204*t[98] + 336*t[99] - 453*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((5*t[1])/6 + (401*t[2])/12 - (140*t[3])/3 + (25*t[4])/2 + 
       (911*t[5])/48 + (229*t[6])/4 - (43*t[7])/8 + (2779*t[8])/24 - 
       (1807*t[9])/48 - (1163*t[10])/24 + (907*t[11])/12 - (515*t[12])/48 + 
       (15559*t[13])/432 + (1701*t[14])/16 + (3685*t[15])/96 + (13*t[18])/3 + 
       8*t[19] + (71*t[20])/3 + (10*t[21])/3 - (41*t[22])/3 - (22*t[23])/3 + 
       (7*t[24])/3 + (16*t[25])/3 - (8*t[26])/3 - 10*t[27] - (25*t[29])/6 + 
       4*t[30] - (4*t[31])/3 + (73*t[32])/6 - 5*t[33] - (8*t[34])/3 - 
       4*t[35] + 2*t[36] - 4*t[37] - (2*t[38])/3 + 10*t[39] - (37*t[40])/3 + 
       (13*t[41])/3 - (14*t[42])/3 + (67*t[43])/12 - (193*t[44])/12 + 
       (115*t[45])/12 - (5*t[46])/6 - (73*t[47])/2 + (827*t[48])/24 + 
       2*t[49] - (51*t[50])/8 - (41*t[51])/24 + (601*t[52])/24 - 2*t[53] + 
       (671*t[54])/24 - t[58]/3 - (11*t[59])/2 + (1417*t[60])/12 + 
       (3265*t[61])/12 - (241*t[62])/8 + (305*t[63])/8 + (223*t[64])/8 - 
       (1207*t[65])/18 - (2483*t[66])/18 + 2*t[67] - 11*t[69] + (7*t[70])/3 - 
       (7*t[71])/3 + (23*t[72])/3 + 4*t[73] + 11*t[74] - 2*t[75] - 
       (55*t[76])/3 - (11*t[77])/3 + (85*t[78])/3 + (61*t[80])/3 + 
       (19*t[81])/6 - (145*t[82])/6 - (37*t[83])/3 + (443*t[84])/12 - 
       (281*t[85])/6 - (65*t[86])/6 - (95*t[87])/3 - (47*t[88])/6 - 
       (439*t[89])/24 - 2*t[95] - 2*t[96] + t[97]/3 - 104*t[98] + 196*t[99] - 
       437*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((77*t[1])/6 - (17*t[2])/2 - (821*t[3])/24 + 
       51*t[4] - (1439*t[5])/48 + (203*t[6])/6 + (19*t[7])/4 + (119*t[8])/2 + 
       (2089*t[9])/48 - (565*t[10])/8 + (607*t[11])/8 - (1291*t[12])/48 + 
       (1099*t[13])/27 + (9947*t[14])/144 + (3353*t[15])/288 - (2*t[18])/3 + 
       2*t[19] - (8*t[20])/3 + (4*t[21])/3 + (8*t[22])/3 - (4*t[23])/3 - 
       (10*t[24])/3 + 15*t[25] - 20*t[26] - (25*t[27])/3 - (4*t[29])/3 - 
       14*t[30] - 6*t[31] - (14*t[32])/3 + 2*t[33] - (35*t[34])/3 + t[36] - 
       4*t[37] + (19*t[38])/3 + 2*t[39] + 13*t[40] + t[41]/3 - (2*t[42])/3 + 
       (5*t[43])/24 - (16*t[44])/3 - (11*t[45])/6 - (5*t[46])/2 + 13*t[47] + 
       23*t[48] - (343*t[49])/24 - (58*t[50])/3 + (239*t[51])/24 + 
       (29*t[52])/3 + (211*t[53])/24 + (89*t[54])/3 + t[58]/3 - 
       (11*t[59])/2 + (1417*t[60])/12 + (3265*t[61])/12 - (241*t[62])/8 + 
       (305*t[63])/8 + (223*t[64])/8 - (1207*t[65])/18 - (2483*t[66])/18 + 
       2*t[67] - 11*t[69] + (7*t[70])/3 - (7*t[71])/3 + (23*t[72])/3 + 
       4*t[73] + 11*t[74] - 2*t[75] - (55*t[76])/3 - (11*t[77])/3 + 
       (85*t[78])/3 + (61*t[80])/3 + (19*t[81])/6 - (145*t[82])/6 - 
       (37*t[83])/3 + (443*t[84])/12 - (281*t[85])/6 - (65*t[86])/6 - 
       (95*t[87])/3 - (47*t[88])/6 - (439*t[89])/24 - 2*t[95] - 2*t[96] + 
       t[97]/3 - 104*t[98] + 196*t[99] - 437*t[100]) + 
     HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - v]*(72*t[1] - 60*t[2] - 132*t[3] - 
       128*t[4] + 461*t[5] + 384*t[6] + 167*t[7] + 95*t[8] - 332*t[9] - 
       421*t[10] + 670*t[11] - 489*t[12] + (1501*t[13])/3 + (1151*t[14])/3 + 
       258*t[15] + 243*t[43] - 40*t[46] + 48*t[49] + 6*t[51] - 48*t[53] - 
       24*t[54] + 165*t[59] + 360*t[60] + 1203*t[61] - 749*t[62] + 
       119*t[63] + 737*t[64] - (506*t[65])/3 - 1644*t[66] + 24*t[67] - 
       144*t[70] + 144*t[71] - 80*t[74] + 576*t[80] + 40*t[81] - 40*t[82] + 
       36*t[84] + 24*t[85] + 588*t[86] - 96*t[87] - 48*t[88] + 168*t[89] - 
       432*t[100]) + HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w]*
      (60*t[2] - 168*t[3] + 272*t[4] - 605*t[5] - 219*t[6] + 594*t[7] - 
       82*t[8] + 875*t[9] - 484*t[10] + 608*t[11] + 333*t[12] + 
       (22*t[13])/3 + 407*t[14] - (1591*t[15])/6 - 96*t[18] + 144*t[21] - 
       192*t[23] + 165*t[41] - 165*t[42] + 96*t[43] - 138*t[45] + 624*t[47] - 
       12*t[48] - 12*t[50] + 12*t[52] + 12*t[54] + 165*t[59] + 360*t[60] + 
       1203*t[61] - 749*t[62] + 119*t[63] + 737*t[64] - (506*t[65])/3 - 
       1644*t[66] + 24*t[67] - 144*t[70] + 144*t[71] - 80*t[74] + 576*t[80] + 
       40*t[81] - 40*t[82] + 36*t[84] + 24*t[85] + 588*t[86] - 96*t[87] - 
       48*t[88] + 168*t[89] - 432*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*(-147*t[1] - (165*t[2])/2 + 418*t[3] - 
       (971*t[4])/2 - (1399*t[5])/2 - 419*t[6] - (4569*t[7])/4 - 
       (3279*t[8])/4 - (2261*t[9])/4 - 350*t[10] - (4843*t[11])/4 + 
       (1907*t[12])/4 - (22175*t[13])/24 - (16393*t[14])/24 + 
       (1777*t[15])/24 - 112*t[18] - 120*t[20] - 48*t[21] - 48*t[22] - 
       4*t[23] - 48*t[25] + 48*t[26] + 96*t[27] + 168*t[28] + 8*t[29] - 
       72*t[30] + 24*t[31] - 132*t[32] + 84*t[33] - 138*t[34] - 120*t[35] - 
       48*t[36] - 6*t[38] + 60*t[39] + 159*t[40] + 151*t[41] - 179*t[42] - 
       (57*t[43])/4 - 48*t[44] + (693*t[45])/2 + 141*t[46] - 1050*t[47] - 
       (67*t[48])/4 - (1075*t[49])/4 - (635*t[50])/4 + (223*t[51])/8 + 
       (227*t[52])/4 + (1075*t[53])/4 + (2381*t[54])/4 - 24*t[58] + 
       (513*t[59])/2 - (3141*t[60])/2 - (1621*t[61])/2 + (4325*t[62])/2 + 
       (1823*t[63])/2 - (4799*t[64])/4 + (13*t[65])/3 + (14953*t[66])/6 + 
       4*t[67] + 112*t[69] + 52*t[70] - 52*t[71] + 264*t[72] - 96*t[73] + 
       92*t[74] - 8*t[75] - 215*t[76] + 192*t[77] + 39*t[78] + 120*t[79] - 
       972*t[80] - 254*t[81] + 229*t[82] - 16*t[83] + 113*t[84] - 324*t[85] - 
       1992*t[86] + 558*t[87] + 279*t[88] - (545*t[89])/4 - 9*t[97] - 
       1512*t[98] + 1224*t[99] - 408*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*((-191*t[1])/2 - (57*t[2])/2 - 
       (253*t[3])/2 - 2*t[4] + (2961*t[5])/4 + (1091*t[6])/2 - 
       (2917*t[7])/4 + (2493*t[8])/4 - 1255*t[9] + (6115*t[10])/4 - 
       (683*t[11])/4 + (145*t[12])/4 - (6581*t[13])/24 - 608*t[14] + 
       (3815*t[15])/12 - 16*t[16] - 90*t[18] - 72*t[19] - 60*t[21] + 
       96*t[22] + 90*t[23] - 180*t[24] + 40*t[25] + 41*t[26] - 48*t[27] + 
       96*t[28] + 72*t[29] - 86*t[30] - 96*t[31] + 18*t[32] - 18*t[33] - 
       57*t[34] + 88*t[36] + 16*t[37] - 96*t[38] + 72*t[39] - 18*t[40] - 
       (123*t[41])/2 + (75*t[42])/2 + (777*t[43])/4 - 189*t[44] + 
       (393*t[45])/2 - 43*t[46] - 597*t[47] + (1503*t[48])/4 + (95*t[49])/2 + 
       (695*t[50])/4 + 37*t[51] - (323*t[52])/4 - (95*t[53])/2 - 
       (791*t[54])/4 - 15*t[58] + (513*t[59])/2 - (3141*t[60])/2 - 
       (1621*t[61])/2 + (4325*t[62])/2 + (1823*t[63])/2 - (4799*t[64])/4 + 
       (13*t[65])/3 + (14953*t[66])/6 + 4*t[67] + 112*t[69] + 52*t[70] - 
       52*t[71] + 264*t[72] - 96*t[73] + 92*t[74] - 8*t[75] - 215*t[76] + 
       192*t[77] + 39*t[78] + 120*t[79] - 972*t[80] - 254*t[81] + 229*t[82] - 
       16*t[83] + 113*t[84] - 324*t[85] - 1992*t[86] + 558*t[87] + 
       279*t[88] - (545*t[89])/4 - 9*t[97] - 1512*t[98] + 1224*t[99] - 
       408*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-23*t[1])/2 + (45*t[2])/8 - (385*t[3])/8 + 
       (43*t[4])/2 - (675*t[5])/8 - (421*t[6])/16 + (1327*t[7])/8 - 
       (53*t[8])/2 + (595*t[9])/2 - (695*t[10])/8 + (2365*t[11])/16 + 
       (677*t[12])/8 + (3671*t[13])/48 + (3523*t[14])/24 - (5975*t[15])/144 + 
       t[16]/2 + (3*t[17])/4 + 6*t[18] + 2*t[19] - 8*t[20] + 8*t[21] - 
       22*t[22] - 8*t[23] + 23*t[24] - t[25] - 14*t[26] - 11*t[27] + 
       6*t[28] + t[29]/2 - 15*t[30] + 2*t[31] - 4*t[32] + 2*t[33] + 
       39*t[34] - 6*t[35] - 3*t[36] - 2*t[37] - 11*t[38] + 2*t[39] - 
       4*t[40] + 2*t[41] + t[42] - (155*t[43])/8 - (37*t[44])/4 - 
       (65*t[45])/4 - (29*t[46])/4 + (109*t[47])/2 - (277*t[48])/16 + 
       (169*t[49])/8 - t[50]/16 - (13*t[51])/16 - (271*t[52])/16 - 
       (161*t[53])/8 - (171*t[54])/16 - t[56]/2 + 2*t[58] + 7*t[59] + 
       (465*t[60])/2 + 476*t[61] - (3011*t[62])/8 + (1113*t[63])/8 - 
       (691*t[64])/4 + (161*t[65])/2 - (1370*t[66])/3 - t[67]/2 - t[68] + 
       2*t[69] - 2*t[70] + 2*t[71] + 32*t[72] - 12*t[73] - 11*t[74] + 
       16*t[75] + 45*t[76] + 3*t[77] - 11*t[78] - 8*t[79] + 68*t[80] + 
       (83*t[81])/2 + (15*t[82])/2 - 2*t[83] + (129*t[84])/4 + 46*t[85] + 
       51*t[86] - 173*t[87] - (173*t[88])/2 - (281*t[89])/4 + 2*t[93] + 
       t[94]/2 + 7*t[97] + 240*t[98] - 204*t[99] - 401*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-829*t[1])/12 - (69*t[2])/4 + (43*t[3])/12 - (1427*t[4])/24 - 
       (195*t[5])/16 - (1873*t[6])/16 - (735*t[7])/8 - (1775*t[8])/8 - 
       (547*t[9])/16 + (413*t[10])/16 - (2263*t[11])/16 + (1229*t[12])/24 - 
       (3325*t[13])/144 + (207*t[14])/32 + (12391*t[15])/288 + (3*t[16])/2 - 
       t[19] + 6*t[24] + 15*t[25] + (7*t[26])/2 + 6*t[28] - (37*t[29])/2 + 
       (4*t[30])/3 + 21*t[31] - 15*t[32] + 15*t[33] + (27*t[34])/2 + 
       9*t[35] + 3*t[36] + 9*t[37] - 28*t[38] - (25*t[39])/2 + (67*t[40])/2 + 
       (3*t[41])/4 - (3*t[42])/4 + (45*t[43])/4 + (27*t[44])/2 + 4*t[45] + 
       (69*t[46])/2 - 59*t[47] - (1065*t[48])/16 + (125*t[49])/16 - 
       (849*t[50])/16 - (153*t[51])/32 + (9*t[52])/16 + (67*t[53])/16 + 
       (795*t[54])/16 - (21*t[58])/2 + (91*t[59])/4 + (101*t[60])/4 - 
       (185*t[61])/3 + 131*t[62] + (385*t[63])/4 - (249*t[64])/2 - 
       (1163*t[65])/36 + (493*t[66])/36 - t[67]/2 + (3*t[68])/2 + 20*t[69] + 
       2*t[70] - 2*t[71] + 27*t[72] + 9*t[74] + 5*t[75] + (413*t[76])/6 + 
       8*t[77] - 29*t[78] - 44*t[79] + 62*t[80] + (217*t[81])/6 - 
       (75*t[82])/2 + 95*t[83] - (87*t[84])/4 + (461*t[85])/12 + 10*t[86] - 
       (365*t[87])/4 - (365*t[88])/8 - (229*t[89])/4 - t[90]/2 + 4*t[95] + 
       (21*t[97])/2 + 468*t[98] - 432*t[99] - 387*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((17*t[1])/6 - (65*t[2])/6 - (205*t[3])/24 + 27*t[4] + (125*t[5])/48 + 
       (319*t[6])/8 - (575*t[7])/8 + (523*t[8])/24 - (3913*t[9])/48 - 
       (83*t[10])/6 + (227*t[11])/24 - (2159*t[12])/48 + (6613*t[13])/432 + 
       (773*t[14])/48 + (6491*t[15])/288 - (14*t[18])/3 + (8*t[20])/3 - 
       (20*t[21])/3 + (28*t[22])/3 + (26*t[23])/3 - (14*t[24])/3 + 
       (49*t[25])/3 - (62*t[26])/3 - 3*t[27] + (4*t[29])/3 + 6*t[30] - 
       (16*t[31])/3 + (2*t[32])/3 + 2*t[33] - (47*t[34])/3 + 4*t[35] + 
       t[36] - 2*t[37] + (19*t[38])/3 + 2*t[39] - t[40]/3 + t[41]/3 - 
       (8*t[42])/3 + (19*t[43])/12 - (10*t[44])/3 + (229*t[45])/12 - 
       (23*t[46])/6 - (79*t[47])/2 + (101*t[48])/6 - (73*t[49])/8 - 
       (43*t[50])/2 + (145*t[51])/24 + (127*t[52])/6 + (29*t[53])/8 + 
       (125*t[54])/6 - (7*t[58])/3 + (7*t[59])/2 + (655*t[60])/12 + 
       (1177*t[61])/12 + (781*t[62])/8 + (451*t[63])/8 - (105*t[64])/8 - 
       (1049*t[65])/9 + (361*t[66])/18 + 2*t[67] + 9*t[69] + (31*t[70])/3 - 
       (37*t[71])/3 + (23*t[72])/3 + 4*t[73] + 11*t[74] - 2*t[75] - 
       (61*t[76])/3 + t[77]/3 + (67*t[78])/3 + 8*t[79] - (113*t[80])/3 - 
       (5*t[81])/6 - (145*t[82])/6 - (49*t[83])/3 + (347*t[84])/12 - 
       (209*t[85])/6 - (419*t[86])/6 + t[87]/3 + (49*t[88])/6 - 
       (961*t[89])/24 - 2*t[95] - 2*t[96] + t[97]/3 - 104*t[98] + 172*t[99] - 
       380*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-19*t[1])/6 + (135*t[2])/4 - (353*t[3])/6 + 
       39*t[4] - (233*t[5])/48 + (1487*t[6])/24 - 37*t[7] + (287*t[8])/4 - 
       (245*t[9])/48 - (99*t[10])/4 - 17*t[11] - (727*t[12])/48 - 
       (2213*t[13])/108 + (8423*t[14])/144 + (2519*t[15])/96 - (23*t[18])/3 - 
       (41*t[20])/3 - (2*t[21])/3 + (11*t[22])/3 + (8*t[23])/3 - 
       (7*t[24])/3 - (34*t[27])/3 - (17*t[29])/6 - 4*t[30] + (65*t[32])/6 - 
       9*t[33] - (20*t[34])/3 - 4*t[35] + 2*t[36] - 2*t[37] - (2*t[38])/3 + 
       14*t[39] - 5*t[40] - (5*t[41])/3 - (2*t[42])/3 + (35*t[43])/24 - 
       (169*t[44])/12 + (37*t[45])/6 + t[46]/2 - 31*t[47] + (245*t[48])/8 + 
       (31*t[49])/12 - (149*t[50])/24 - (11*t[51])/3 + (373*t[52])/24 - 
       (31*t[53])/12 + (583*t[54])/24 + t[58]/3 + (7*t[59])/2 + 
       (655*t[60])/12 + (1177*t[61])/12 + (781*t[62])/8 + (451*t[63])/8 - 
       (105*t[64])/8 - (1049*t[65])/9 + (361*t[66])/18 + 2*t[67] + 9*t[69] + 
       (31*t[70])/3 - (37*t[71])/3 + (23*t[72])/3 + 4*t[73] + 11*t[74] - 
       2*t[75] - (61*t[76])/3 + t[77]/3 + (67*t[78])/3 + 8*t[79] - 
       (113*t[80])/3 - (5*t[81])/6 - (145*t[82])/6 - (49*t[83])/3 + 
       (347*t[84])/12 - (209*t[85])/6 - (419*t[86])/6 + t[87]/3 + 
       (49*t[88])/6 - (961*t[89])/24 - 2*t[95] - 2*t[96] + t[97]/3 - 
       104*t[98] + 172*t[99] - 380*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*((137*t[1])/12 - 35*t[2] + (1063*t[3])/12 + 
       (1439*t[4])/12 + (1595*t[5])/48 + (1745*t[6])/48 + (123*t[7])/8 - 
       (387*t[8])/8 - (7873*t[9])/48 - 141*t[10] + (3221*t[11])/16 - 
       (1459*t[12])/16 + (67489*t[13])/432 - (201*t[14])/16 + 
       (1073*t[15])/32 + (3*t[16])/2 - (5*t[17])/3 - (4*t[18])/3 + t[19] + 
       10*t[20] + (8*t[21])/3 + (2*t[22])/3 - (13*t[23])/3 + (16*t[24])/3 + 
       19*t[25] - (44*t[26])/3 - 8*t[27] - 3*t[28] - 6*t[29] + 17*t[30] + 
       10*t[31] - (10*t[32])/3 - (23*t[33])/3 - (119*t[34])/2 - 18*t[35] + 
       18*t[36] - (29*t[37])/3 + (89*t[38])/6 + (65*t[39])/3 - (65*t[40])/3 + 
       (47*t[41])/12 - (13*t[42])/4 + (79*t[43])/3 + (223*t[44])/6 + 
       (131*t[45])/6 - (29*t[46])/6 - (35*t[47])/2 - (359*t[48])/48 - 
       (229*t[49])/24 + (409*t[50])/48 + (89*t[51])/16 - (433*t[52])/48 + 
       (389*t[53])/24 - (1063*t[54])/16 + (43*t[59])/12 + (4895*t[60])/24 + 
       (3185*t[61])/8 + (4763*t[62])/48 + (359*t[63])/16 - (1435*t[64])/16 - 
       (5137*t[65])/24 - (33497*t[66])/72 + (2*t[67])/3 - 6*t[68] - 2*t[69] - 
       (8*t[70])/3 + (8*t[71])/3 - 41*t[72] + 26*t[73] - (11*t[74])/3 - 
       28*t[75] - (100*t[76])/3 - t[77]/3 + (101*t[78])/6 - 21*t[79] - 
       17*t[80] + (61*t[81])/3 - (251*t[82])/3 - 89*t[83] + (875*t[84])/24 - 
       (1399*t[85])/24 - 126*t[86] - (317*t[87])/8 - (2207*t[88])/48 + 
       (1333*t[89])/48 - (2*t[94])/3 + (16*t[95])/3 + (56*t[96])/3 - 
       (53*t[97])/6 - 188*t[98] + 308*t[99] - 357*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((5*t[1])/6 - (2327*t[3])/24 + (2893*t[4])/24 - (3395*t[5])/48 + 
       (3269*t[6])/24 - (55*t[7])/8 + (1263*t[8])/8 + (3907*t[9])/48 + 
       (1829*t[10])/48 + (1099*t[11])/12 - (87*t[12])/8 + (338*t[13])/27 + 
       (23365*t[14])/96 - (3875*t[15])/288 + t[17]/3 - (4*t[18])/3 - 
       (20*t[19])/3 - 2*t[20] + (5*t[21])/3 + (61*t[22])/3 - (5*t[23])/3 - 
       (44*t[24])/3 + (14*t[25])/3 + (28*t[26])/3 - 28*t[27] + 8*t[28] + 
       t[29] - 5*t[30] + 19*t[31] - (31*t[32])/3 + (25*t[33])/3 - 
       (148*t[34])/3 + 3*t[35] + (89*t[36])/3 + (16*t[37])/3 - (19*t[38])/6 + 
       (2*t[39])/3 + (21*t[40])/2 + t[41] - (5*t[42])/3 + (281*t[43])/12 - 
       19*t[44] + 10*t[45] - (80*t[46])/3 + (53*t[47])/3 + (1895*t[48])/24 + 
       (2489*t[49])/48 - (1073*t[50])/24 - (1253*t[51])/96 + (419*t[52])/8 - 
       (1577*t[53])/48 + (569*t[54])/12 + (2*t[56])/3 - (8*t[57])/3 + 
       (25*t[58])/3 + (43*t[59])/12 + (4895*t[60])/24 + (3185*t[61])/8 + 
       (4763*t[62])/48 + (359*t[63])/16 - (1435*t[64])/16 - (5137*t[65])/24 - 
       (33497*t[66])/72 + (2*t[67])/3 - 6*t[68] - 2*t[69] - (8*t[70])/3 + 
       (8*t[71])/3 - 41*t[72] + 26*t[73] - (11*t[74])/3 - 28*t[75] - 
       (100*t[76])/3 - t[77]/3 + (101*t[78])/6 - 21*t[79] - 17*t[80] + 
       (61*t[81])/3 - (251*t[82])/3 - 89*t[83] + (875*t[84])/24 - 
       (1399*t[85])/24 - 126*t[86] - (317*t[87])/8 - (2207*t[88])/48 + 
       (1333*t[89])/48 - (2*t[94])/3 + (16*t[95])/3 + (56*t[96])/3 - 
       (53*t[97])/6 - 188*t[98] + 308*t[99] - 357*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-21*t[1])/4 + (369*t[2])/8 - (301*t[3])/4 - (957*t[4])/16 + 
       (805*t[5])/32 + 28*t[6] + (125*t[7])/16 + (1173*t[8])/16 + 
       (2511*t[9])/32 - (2209*t[10])/32 - (145*t[11])/8 - (101*t[12])/2 + 
       (4463*t[13])/288 + (8715*t[14])/64 + (25697*t[15])/576 + t[16] - 
       (3*t[17])/4 - t[18] + 2*t[19] - 11*t[20] + 7*t[21] + (31*t[22])/2 - 
       7*t[23] + 18*t[24] + (21*t[25])/2 - (31*t[26])/4 + (11*t[27])/2 + 
       9*t[28] - (31*t[29])/4 + t[30] - 8*t[31] + 14*t[32] - 14*t[33] + 
       (67*t[34])/2 + 3*t[35] - t[36] - (9*t[37])/2 - (45*t[38])/4 + 
       16*t[39] - (69*t[40])/4 - 3*t[41] + (5*t[42])/2 + (55*t[43])/4 - 
       (21*t[44])/8 - (187*t[45])/8 + 6*t[46] + (73*t[47])/4 + 
       (187*t[48])/16 + (15*t[49])/32 - (121*t[50])/16 - (951*t[51])/64 + 
       (433*t[52])/16 - (111*t[53])/32 + (267*t[54])/8 + 2*t[56] - 5*t[57] - 
       (15*t[58])/4 - t[59] + (903*t[60])/16 + (2227*t[61])/16 - 
       (429*t[62])/32 + (7745*t[63])/32 - (3265*t[64])/32 - (1109*t[65])/48 - 
       (913*t[66])/16 - t[67]/2 - 3*t[68] - 12*t[69] - 3*t[70] + 3*t[71] + 
       5*t[72] - 20*t[73] + 34*t[74] + 28*t[75] + (163*t[76])/4 - 13*t[77] - 
       (71*t[78])/4 - 26*t[79] + (217*t[80])/2 + (59*t[81])/4 + 
       (31*t[82])/2 - 14*t[83] + (421*t[84])/16 + (399*t[85])/16 - 
       (185*t[86])/4 - (839*t[87])/16 - (999*t[88])/32 - (2037*t[89])/32 - 
       t[91]/12 - t[92]/2 - t[93] + t[94]/2 + 4*t[95] - (19*t[96])/2 - 
       2*t[97] + 180*t[98] - 172*t[99] - 323*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-43*t[1])/4 + (191*t[2])/4 - (13*t[3])/16 - (93*t[4])/2 + 
       (1797*t[5])/32 - (1253*t[6])/32 + (233*t[7])/4 - (273*t[8])/2 + 
       (1291*t[9])/32 - (953*t[10])/16 + (2855*t[11])/32 - (667*t[12])/32 + 
       (2597*t[13])/36 + (1591*t[14])/24 + (2425*t[15])/64 - t[16] + 
       (3*t[17])/4 + 3*t[18] + 6*t[19] + 3*t[20] + 5*t[21] - 24*t[22] - 
       5*t[23] + 7*t[24] + t[25] - (3*t[26])/4 - (23*t[27])/2 + 9*t[28] - 
       (5*t[29])/4 + 6*t[30] - 3*t[31] - 17*t[32] + 15*t[33] + (39*t[34])/2 - 
       17*t[35] - 24*t[36] - 12*t[37] - (19*t[38])/4 - (43*t[39])/4 + 
       (29*t[40])/2 - t[41] + t[42]/2 + (263*t[43])/16 + (63*t[44])/4 - 
       (71*t[45])/4 + (19*t[46])/4 + (55*t[47])/4 - (667*t[48])/32 - 
       (27*t[49])/16 + (681*t[50])/32 + (37*t[51])/16 - (1001*t[52])/32 - 
       (85*t[53])/16 + (323*t[54])/32 - t[55]/4 - (3*t[58])/4 - t[59] + 
       (903*t[60])/16 + (2227*t[61])/16 - (429*t[62])/32 + (7745*t[63])/32 - 
       (3265*t[64])/32 - (1109*t[65])/48 - (913*t[66])/16 - t[67]/2 - 
       3*t[68] - 12*t[69] - 3*t[70] + 3*t[71] + 5*t[72] - 20*t[73] + 
       34*t[74] + 28*t[75] + (163*t[76])/4 - 13*t[77] - (71*t[78])/4 - 
       26*t[79] + (217*t[80])/2 + (59*t[81])/4 + (31*t[82])/2 - 14*t[83] + 
       (421*t[84])/16 + (399*t[85])/16 - (185*t[86])/4 - (839*t[87])/16 - 
       (999*t[88])/32 - (2037*t[89])/32 - t[91]/12 - t[92]/2 - t[93] + 
       t[94]/2 + 4*t[95] - (19*t[96])/2 - 2*t[97] + 180*t[98] - 172*t[99] - 
       323*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-83*t[1])/6 + (83*t[2])/6 - (971*t[3])/24 - 
       (17*t[4])/4 - (3875*t[5])/48 + (19*t[6])/2 + (1519*t[7])/8 + 
       (29*t[8])/24 + (12151*t[9])/48 - (173*t[10])/12 + (1709*t[11])/12 + 
       (5705*t[12])/48 + (34559*t[13])/432 + (3517*t[14])/24 - 
       (11233*t[15])/288 + (20*t[18])/3 + 2*t[19] - (2*t[20])/3 + 
       (14*t[21])/3 - (64*t[22])/3 - (14*t[23])/3 + (56*t[24])/3 - 
       (4*t[25])/3 - (4*t[26])/3 - 8*t[27] - (10*t[29])/3 + 4*t[30] + 
       (22*t[31])/3 - (8*t[32])/3 + 4*t[33] + (98*t[34])/3 - 6*t[36] - 
       (22*t[38])/3 - 4*t[39] - (14*t[40])/3 + (49*t[41])/6 - (41*t[42])/6 - 
       (199*t[43])/12 - (11*t[44])/3 - (313*t[45])/12 - (91*t[46])/6 + 
       (127*t[47])/2 - (599*t[48])/24 + (193*t[49])/8 + (147*t[50])/8 - 
       (89*t[51])/48 - (601*t[52])/24 - (193*t[53])/8 + (265*t[54])/24 + 
       (7*t[58])/3 + 12*t[59] + (491*t[60])/3 + (5897*t[61])/12 - 
       (2753*t[62])/8 + (1401*t[63])/8 - (1273*t[64])/8 + (3053*t[65])/36 - 
       (14789*t[66])/36 + 8*t[69] - (4*t[70])/3 + (4*t[71])/3 + 
       (34*t[72])/3 - 12*t[73] - 20*t[74] + 12*t[75] + (97*t[76])/3 + 
       (26*t[77])/3 - (16*t[78])/3 + (125*t[80])/3 + (97*t[81])/3 + 
       (14*t[82])/3 + (52*t[83])/3 + (95*t[84])/6 + (239*t[85])/6 + 
       (191*t[86])/6 - (809*t[87])/6 - (809*t[88])/12 - (329*t[89])/6 + 
       (14*t[97])/3 + 176*t[98] - 132*t[99] - 312*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((21*t[1])/2 - (7*t[2])/2 - (83*t[3])/4 + 82*t[4] - (161*t[5])/8 + 
       (75*t[6])/2 + (29*t[7])/2 + 58*t[8] + (395*t[9])/8 + 5*t[10] + 
       (441*t[11])/4 - (359*t[12])/8 + (694*t[13])/9 + (245*t[14])/3 + 
       (439*t[15])/48 - 2*t[16] - t[17] + 4*t[18] - 2*t[19] + 2*t[20] + 
       2*t[21] - 2*t[23] + 4*t[24] + 4*t[25] - 12*t[26] - 2*t[27] - 2*t[28] - 
       4*t[30] - 8*t[31] - 2*t[32] + 2*t[33] + 5*t[34] - 4*t[35] - 6*t[36] - 
       2*t[37] + 9*t[38] - 4*t[39] + 4*t[40] - (9*t[41])/2 + (13*t[42])/2 + 
       (19*t[43])/4 + 16*t[45] - 14*t[46] - 22*t[47] - (17*t[48])/2 + 
       44*t[49] - (19*t[50])/2 - (69*t[51])/8 + t[52]/2 - 41*t[53] - 
       32*t[54] - (13*t[59])/2 + 154*t[60] + (463*t[61])/2 - 38*t[62] + 
       44*t[63] - (385*t[64])/2 - (115*t[65])/3 - (847*t[66])/3 + 2*t[67] + 
       6*t[68] + 4*t[69] - 8*t[70] + 8*t[71] - 12*t[72] - 2*t[73] + 
       10*t[75] + 14*t[76] + 8*t[77] + 17*t[78] + 4*t[79] + 52*t[80] + 
       31*t[81] - 21*t[82] + 14*t[83] + (15*t[84])/2 + (75*t[85])/2 - 
       21*t[86] - (139*t[87])/2 - (139*t[88])/4 - (9*t[89])/4 + 2*t[92] - 
       2*t[93] - 2*t[94] + t[97] + 96*t[98] - 8*t[99] - 288*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-4*t[1] + t[2]/2 - 59*t[3] + (159*t[4])/2 - (901*t[5])/8 + 
       (101*t[6])/4 + (291*t[7])/4 - (111*t[8])/4 + (1337*t[9])/8 - 
       (165*t[10])/2 + (323*t[11])/4 + (523*t[12])/8 + (237*t[13])/8 + 
       (439*t[14])/4 - (1153*t[15])/48 - 2*t[16] + 4*t[18] + 4*t[21] - 
       12*t[22] - 4*t[23] + 4*t[24] - 2*t[25] + 6*t[26] + 2*t[27] + 4*t[28] - 
       13*t[29] + t[30] + 16*t[31] + 8*t[32] - 6*t[33] + 24*t[34] + 4*t[35] - 
       8*t[36] + 2*t[37] - 5*t[38] + 10*t[39] - 13*t[40] + t[41] + t[42] + 
       5*t[43] + t[44]/2 - (37*t[45])/2 + 3*t[46] + 30*t[47] - (33*t[48])/2 - 
       (13*t[49])/4 - (17*t[50])/2 + (35*t[51])/8 + (13*t[52])/2 + 
       (13*t[53])/4 - t[54]/2 - 4*t[57] + 2*t[58] - (13*t[59])/2 + 
       154*t[60] + (463*t[61])/2 - 38*t[62] + 44*t[63] - (385*t[64])/2 - 
       (115*t[65])/3 - (847*t[66])/3 + 2*t[67] + 6*t[68] + 4*t[69] - 
       8*t[70] + 8*t[71] - 12*t[72] - 2*t[73] + 10*t[75] + 14*t[76] + 
       8*t[77] + 17*t[78] + 4*t[79] + 52*t[80] + 31*t[81] - 21*t[82] + 
       14*t[83] + (15*t[84])/2 + (75*t[85])/2 - 21*t[86] - (139*t[87])/2 - 
       (139*t[88])/4 - (9*t[89])/4 + 2*t[92] - 2*t[93] - 2*t[94] + t[97] + 
       96*t[98] - 8*t[99] - 288*t[100]) + HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u]*((-61*t[1])/36 + (43*t[2])/36 - (6011*t[3])/288 + 
       (1495*t[4])/24 - (55871*t[5])/576 + (263*t[6])/48 + (2529*t[7])/16 - 
       (1897*t[8])/72 + (129133*t[9])/576 - (2143*t[10])/18 + 
       (39871*t[11])/288 + (48935*t[12])/576 + (104405*t[13])/1296 + 
       (49601*t[14])/576 - (19555*t[15])/384 + (68*t[18])/9 - (5*t[20])/9 + 
       (68*t[21])/9 - (253*t[22])/9 - (68*t[23])/9 + (125*t[24])/9 - 
       t[25]/9 - (13*t[26])/9 - 9*t[27] + (43*t[29])/18 + (13*t[30])/6 + 
       (65*t[31])/18 - (5*t[32])/9 + (613*t[34])/18 - t[36]/6 - 
       (43*t[38])/9 - (139*t[40])/18 + (11*t[41])/9 + (23*t[42])/9 - 
       (4829*t[43])/288 - (47*t[44])/9 - (3077*t[45])/72 - (455*t[46])/36 + 
       (871*t[47])/12 - (1999*t[48])/144 + (203*t[49])/12 + (321*t[50])/16 + 
       (295*t[51])/144 - (3521*t[52])/144 - (203*t[53])/12 - 
       (1009*t[54])/144 + (43*t[58])/9 + t[59]/4 + (12439*t[60])/72 + 
       (44849*t[61])/144 - (22663*t[62])/96 + (959*t[63])/96 - 
       (1843*t[64])/32 + (43277*t[65])/432 - (157343*t[66])/432 + 
       (19*t[69])/3 - (79*t[70])/9 + (79*t[71])/9 + (82*t[72])/9 + 
       (10*t[73])/3 - (127*t[74])/6 - (10*t[75])/3 + (545*t[76])/18 - 
       (161*t[77])/18 - (101*t[78])/18 + (2549*t[80])/36 + (1063*t[81])/36 + 
       (17*t[82])/36 + (106*t[83])/9 + (541*t[84])/36 + (1955*t[85])/72 + 
       (5489*t[86])/72 - (8207*t[87])/72 - (8063*t[88])/144 - 
       (1489*t[89])/144 + (41*t[97])/9 + (506*t[98])/3 - 130*t[99] - 
       264*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-21*t[1])/2 - (317*t[2])/12 + (289*t[3])/12 + (1573*t[4])/12 + 
       (25*t[5])/3 + (332*t[6])/3 - (923*t[7])/8 - (1477*t[8])/24 - 
       (179*t[9])/2 - (233*t[10])/6 - (1091*t[11])/24 - (589*t[12])/8 - 
       (30257*t[13])/432 - (235*t[14])/16 + (53*t[15])/144 - 6*t[16] - 
       (3*t[17])/2 - (13*t[18])/3 - 6*t[21] + (38*t[23])/3 + (2*t[24])/3 + 
       9*t[25] - 6*t[26] - 15*t[27] - 12*t[28] - (4*t[31])/3 - 6*t[34] - 
       12*t[36] - 6*t[38] - 6*t[39] - (43*t[41])/6 + 10*t[42] + 
       (347*t[43])/8 - 3*t[44] - (68*t[45])/3 - 3*t[46] - (89*t[47])/3 + 
       (437*t[48])/24 + (1199*t[49])/24 - (611*t[50])/24 - (1055*t[51])/48 + 
       (755*t[52])/24 - (1199*t[53])/24 - (73*t[54])/8 + t[59]/2 + 
       (223*t[60])/12 + (659*t[61])/6 + (3509*t[62])/12 + (1519*t[63])/4 - 
       (2059*t[64])/12 - (6235*t[65])/18 + (1273*t[66])/18 + 3*t[67] + 
       12*t[68] + 12*t[70] - 12*t[71] - 54*t[72] + 17*t[74] - 12*t[76] + 
       6*t[77] + 12*t[78] + 8*t[79] - 24*t[80] + (11*t[81])/2 - 
       (23*t[82])/2 - (4*t[83])/3 - 51*t[84] + (45*t[85])/4 - 
       (1853*t[86])/6 - (311*t[87])/12 - (311*t[88])/24 - (613*t[89])/8 + 
       3*t[92] - 6*t[93] - 3*t[94] - 72*t[98] + 108*t[99] - 250*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-64*t[1])/3 - (27*t[2])/4 + (23*t[3])/12 + (589*t[4])/12 + 
       (131*t[5])/4 + (2065*t[6])/24 - (283*t[7])/2 - (1513*t[8])/12 - 
       (2557*t[9])/24 - (79*t[10])/4 - (271*t[11])/12 + (173*t[12])/4 - 
       (18023*t[13])/432 + (1991*t[14])/72 + (803*t[15])/24 - 3*t[16] - 
       (3*t[17])/2 - 6*t[18] - 6*t[21] + 6*t[23] + 9*t[25] + 3*t[27] + 
       41*t[31] + 12*t[33] - 6*t[34] - 6*t[36] - 12*t[38] - 6*t[39] - 
       6*t[40] - (3*t[41])/2 - (3*t[42])/2 + (215*t[43])/6 - 3*t[44] + 
       (27*t[45])/4 + (5*t[46])/2 - (51*t[47])/2 - (73*t[48])/2 - 
       (91*t[49])/6 - (349*t[50])/6 + (155*t[51])/24 + (385*t[52])/6 + 
       (91*t[53])/6 + (71*t[54])/6 + 3*t[56] + t[59]/2 + (223*t[60])/12 + 
       (659*t[61])/6 + (3509*t[62])/12 + (1519*t[63])/4 - (2059*t[64])/12 - 
       (6235*t[65])/18 + (1273*t[66])/18 + 3*t[67] + 12*t[68] + 12*t[70] - 
       12*t[71] - 54*t[72] + 17*t[74] - 12*t[76] + 6*t[77] + 12*t[78] + 
       8*t[79] - 24*t[80] + (11*t[81])/2 - (23*t[82])/2 - (4*t[83])/3 - 
       51*t[84] + (45*t[85])/4 - (1853*t[86])/6 - (311*t[87])/12 - 
       (311*t[88])/24 - (613*t[89])/8 + 3*t[92] - 6*t[93] - 3*t[94] - 
       72*t[98] + 108*t[99] - 250*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*((-121*t[1])/6 + 
       (133*t[2])/6 - (373*t[3])/24 + (27*t[4])/4 - (3097*t[5])/48 - 4*t[6] + 
       (999*t[7])/8 - (2279*t[8])/24 + (9329*t[9])/48 + (173*t[10])/12 + 
       (190*t[11])/3 + (4735*t[12])/48 + (10087*t[13])/432 + (341*t[14])/4 - 
       (13199*t[15])/288 - (2*t[18])/3 + (2*t[20])/3 - (2*t[21])/3 - 
       (68*t[22])/3 + (2*t[23])/3 + (28*t[24])/3 - (14*t[25])/3 + t[26]/3 - 
       6*t[27] - (2*t[29])/3 + (32*t[31])/3 - (10*t[32])/3 + 2*t[33] + 
       (94*t[34])/3 - 6*t[36] - (23*t[38])/3 - 2*t[39] - (16*t[40])/3 + 
       (35*t[41])/6 - (37*t[42])/6 - (31*t[43])/6 - t[44]/3 - 
       (401*t[45])/12 - (71*t[46])/6 + (115*t[47])/2 - (763*t[48])/24 + 
       (161*t[49])/8 + (111*t[50])/8 - (169*t[51])/48 - (413*t[52])/24 - 
       (161*t[53])/8 + (77*t[54])/24 + (2*t[58])/3 + 13*t[59] + 
       (665*t[60])/6 + (3709*t[61])/12 - (1671*t[62])/8 + (1951*t[63])/8 - 
       (1577*t[64])/8 - (1049*t[65])/36 - (8065*t[66])/36 + 10*t[69] + 
       (34*t[70])/3 - (34*t[71])/3 + (26*t[72])/3 - 12*t[73] - 12*t[74] + 
       12*t[75] + (92*t[76])/3 + (34*t[77])/3 - (44*t[78])/3 + 
       (121*t[80])/3 + (68*t[81])/3 + (52*t[82])/3 + (56*t[83])/3 + 
       (13*t[84])/6 + (271*t[85])/6 - (167*t[86])/6 - (733*t[87])/6 - 
       (709*t[88])/12 - (989*t[89])/12 + (16*t[97])/3 + 184*t[98] - 
       180*t[99] - 246*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*((-45*t[1])/2 - (17*t[2])/2 - 53*t[3] - 
       (33*t[4])/4 - 117*t[5] - (651*t[6])/8 + 257*t[7] + (69*t[8])/2 + 
       (1391*t[9])/4 + (55*t[10])/2 + (241*t[11])/2 + (501*t[12])/4 + 
       (2617*t[13])/48 + (623*t[14])/3 - (467*t[15])/8 - 6*t[26] - 18*t[31] + 
       54*t[34] - 12*t[38] + 6*t[40] - (13*t[41])/2 + (13*t[42])/2 - 
       (199*t[43])/4 + (43*t[45])/2 - 19*t[46] + 23*t[47] - (213*t[48])/4 + 
       71*t[49] + (59*t[50])/4 - (97*t[51])/4 - (83*t[52])/4 - 71*t[53] - 
       (91*t[54])/4 - 6*t[58] - 9*t[59] + 149*t[60] + 300*t[61] - 
       (1379*t[62])/2 + (817*t[63])/2 + 72*t[64] - (29*t[65])/6 - 
       (613*t[66])/2 - 76*t[74] + 84*t[76] + 12*t[77] - 48*t[78] + 24*t[79] - 
       37*t[80] + 38*t[81] + 10*t[82] + 16*t[83] - 14*t[84] + 65*t[85] + 
       452*t[86] - 193*t[87] - (193*t[88])/2 - (231*t[89])/2 + 12*t[97] + 
       576*t[98] - 576*t[99] - 240*t[100]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((11*t[1])/2 + (27*t[2])/8 - (189*t[3])/8 - 
       (471*t[4])/8 + (719*t[5])/16 - (91*t[6])/8 + 41*t[7] + (727*t[8])/8 - 
       (163*t[9])/16 + (2821*t[10])/16 + (353*t[11])/4 + (129*t[12])/8 + 
       (1997*t[13])/48 + (4993*t[14])/96 + (2045*t[15])/32 + (3*t[17])/4 - 
       3*t[24] - 40*t[31] - 44*t[35] - 20*t[37] + 3*t[41] - 3*t[42] - 
       (35*t[43])/8 + 21*t[45] + (51*t[46])/4 - 27*t[47] + 38*t[48] - 
       (375*t[49])/16 + 10*t[50] + (213*t[51])/32 - 10*t[52] + 
       (375*t[53])/16 + (27*t[54])/8 + (5*t[59])/2 - (207*t[60])/4 + 
       242*t[61] - (1753*t[62])/8 - (933*t[63])/8 - (133*t[64])/4 + 
       (173*t[65])/2 - (269*t[66])/2 - 4*t[67] - 18*t[69] + 12*t[70] - 
       12*t[71] + 24*t[74] - 6*t[75] + 36*t[79] + 126*t[80] + (11*t[81])/2 - 
       (35*t[82])/2 - 12*t[83] + (33*t[84])/2 - (265*t[85])/4 + 
       (71*t[86])/2 + (261*t[87])/4 + (261*t[88])/8 - (411*t[89])/8 + 
       (3*t[94])/2 + 24*t[99] - 237*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*(3*t[1] + (599*t[2])/8 + (141*t[3])/8 - 
       (41*t[4])/8 - (523*t[5])/16 + (199*t[6])/8 - (169*t[7])/8 + 42*t[8] + 
       (841*t[9])/16 - (219*t[10])/16 + (217*t[11])/8 + (319*t[12])/8 + 
       68*t[13] + (1133*t[14])/32 - (607*t[15])/32 - (9*t[17])/4 - 3*t[18] + 
       20*t[19] + 4*t[21] - 6*t[23] + 12*t[24] - 24*t[31] - 56*t[35] - 
       26*t[37] + 5*t[41] - (11*t[42])/2 - (87*t[43])/4 - (63*t[45])/4 - 
       (3*t[46])/4 + (79*t[47])/2 + (137*t[48])/8 - (333*t[49])/16 + 
       (57*t[50])/8 + (351*t[51])/32 - (57*t[52])/8 + (333*t[53])/16 + 
       45*t[54] + (5*t[59])/2 - (207*t[60])/4 + 242*t[61] - (1753*t[62])/8 - 
       (933*t[63])/8 - (133*t[64])/4 + (173*t[65])/2 - (269*t[66])/2 - 
       4*t[67] - 18*t[69] + 12*t[70] - 12*t[71] + 24*t[74] - 6*t[75] + 
       36*t[79] + 126*t[80] + (11*t[81])/2 - (35*t[82])/2 - 12*t[83] + 
       (33*t[84])/2 - (265*t[85])/4 + (71*t[86])/2 + (261*t[87])/4 + 
       (261*t[88])/8 - (411*t[89])/8 + (3*t[94])/2 + 24*t[99] - 237*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-5*t[1])/4 + (45*t[2])/8 - (47*t[3])/4 - (183*t[4])/2 - (97*t[5])/4 + 
       (53*t[6])/8 - (7*t[7])/4 + (247*t[8])/8 + (237*t[9])/8 - 
       (767*t[10])/16 - (493*t[11])/8 + (23*t[12])/16 - 18*t[13] + 14*t[14] + 
       (43*t[15])/2 + (11*t[16])/4 + t[25]/2 + (5*t[26])/2 - 4*t[31] + 
       11*t[36] + 5*t[37] - (7*t[38])/2 + (7*t[39])/2 - (7*t[40])/2 - 
       3*t[43] - 5*t[44] - 2*t[45] - (85*t[46])/4 + 4*t[47] - (3*t[48])/8 + 
       (379*t[49])/16 - (15*t[50])/8 + (187*t[51])/16 + (31*t[52])/8 - 
       (199*t[53])/16 + (429*t[54])/8 + (7*t[59])/2 - (451*t[60])/8 + 
       (543*t[61])/8 + (275*t[62])/8 + (1213*t[63])/8 + (1737*t[64])/16 - 
       (223*t[65])/24 - (177*t[66])/8 - (5*t[68])/4 - 23*t[70] + 23*t[71] + 
       15*t[72] - (11*t[74])/2 + (7*t[76])/2 + (5*t[77])/2 - t[78] + 
       26*t[80] + (25*t[81])/4 - (13*t[82])/4 - 6*t[83] - (317*t[84])/8 - 
       (79*t[85])/2 + 4*t[86] + (167*t[87])/4 - (353*t[88])/8 - 
       (345*t[89])/8 - (3*t[90])/4 + 11*t[95] + 6*t[96] - t[97] + 24*t[98] + 
       30*t[99] - 222*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-t[1]/2 - (317*t[2])/8 + (1087*t[3])/16 + 
       (177*t[4])/8 + (433*t[5])/16 - (503*t[6])/16 - (233*t[7])/8 - 
       (161*t[8])/4 - (963*t[9])/16 - (671*t[10])/16 + (801*t[11])/16 + 
       (6923*t[13])/144 - (601*t[14])/96 + (235*t[15])/9 + t[17]/4 + 
       3*t[19] + 5*t[20] + 4*t[21] - 4*t[22] + 7*t[23] + 4*t[24] - 
       (7*t[27])/2 - t[29]/4 + (41*t[30])/2 - (173*t[32])/4 - (5*t[33])/2 + 
       (13*t[34])/2 - (7*t[37])/2 + 4*t[39] + 14*t[40] + (11*t[41])/4 - 
       (7*t[42])/4 + t[43] - (107*t[44])/8 - (9*t[45])/2 - (3*t[46])/4 - 
       9*t[47] - (41*t[48])/16 + (137*t[49])/16 - (153*t[50])/16 - 
       (87*t[51])/32 - (199*t[52])/16 - (137*t[53])/16 - (551*t[54])/16 - 
       (5*t[55])/4 + (7*t[59])/2 - (451*t[60])/8 + (543*t[61])/8 + 
       (275*t[62])/8 + (1213*t[63])/8 + (1737*t[64])/16 - (223*t[65])/24 - 
       (177*t[66])/8 - (5*t[68])/4 - 23*t[70] + 23*t[71] + 15*t[72] - 
       (11*t[74])/2 + (7*t[76])/2 + (5*t[77])/2 - t[78] + 26*t[80] + 
       (25*t[81])/4 - (13*t[82])/4 - 6*t[83] - (317*t[84])/8 - (79*t[85])/2 + 
       4*t[86] + (167*t[87])/4 - (353*t[88])/8 - (345*t[89])/8 - 
       (3*t[90])/4 + 11*t[95] + 6*t[96] - t[97] + 24*t[98] + 30*t[99] - 
       222*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((5*t[1])/3 - (25*t[2])/2 - (979*t[3])/24 - 
       13*t[4] + (965*t[5])/48 + (631*t[6])/24 + (361*t[7])/8 + 
       (685*t[8])/8 + (2051*t[9])/48 - (257*t[10])/8 + (551*t[11])/8 + 
       (367*t[12])/48 + (22733*t[13])/432 + (14245*t[14])/144 + 
       (8095*t[15])/288 + (8*t[18])/3 - (4*t[20])/3 + (8*t[21])/3 + 
       (10*t[22])/3 - (8*t[23])/3 + (4*t[24])/3 + 8*t[25] - 7*t[26] - 
       (14*t[27])/3 - 2*t[28] + (4*t[29])/3 - 4*t[30] - (10*t[32])/3 + 
       2*t[33] + (20*t[34])/3 - (4*t[38])/3 - 2*t[39] + 5*t[40] - 
       (16*t[41])/3 + (20*t[42])/3 + (2*t[43])/3 - (8*t[44])/3 - 
       (5*t[45])/12 - 2*t[46] + (37*t[47])/2 + (5*t[48])/4 + (131*t[49])/12 - 
       (209*t[50])/12 - (59*t[51])/24 + (121*t[52])/12 - (131*t[53])/12 + 
       (127*t[54])/12 - t[58]/3 - (15*t[59])/2 + (356*t[60])/3 + 
       (1673*t[61])/12 - (627*t[62])/8 - (125*t[63])/8 + (65*t[64])/8 + 
       (383*t[65])/36 - (7247*t[66])/36 - 2*t[69] - (22*t[70])/3 + 
       (22*t[71])/3 + (4*t[72])/3 + 14*t[73] - 8*t[74] - 14*t[75] + 
       (43*t[76])/3 - (46*t[77])/3 - (7*t[78])/3 + 4*t[79] + (161*t[80])/3 + 
       (43*t[81])/3 - (22*t[82])/3 - (56*t[83])/3 + (49*t[84])/3 + 
       (83*t[85])/6 + (401*t[86])/6 - (515*t[87])/6 - (515*t[88])/12 - 
       (46*t[89])/3 + (5*t[97])/3 + 104*t[98] - 72*t[99] - 207*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((51*t[1])/8 - (257*t[2])/8 + 81*t[3] + (281*t[4])/4 + (179*t[5])/16 - 
       (3115*t[6])/32 + (159*t[7])/8 - (369*t[8])/8 - (155*t[9])/4 - 
       (1491*t[10])/16 + (9611*t[11])/32 + (83*t[12])/2 + (10609*t[13])/48 - 
       (763*t[14])/48 - (2395*t[15])/144 + 12*t[18] + 13*t[19] - 7*t[20] + 
       3*t[21] - 4*t[22] - (15*t[23])/2 + 16*t[24] - t[25] - (27*t[26])/4 - 
       2*t[27] + 3*t[28] + (69*t[29])/4 + (9*t[30])/2 - (5*t[31])/2 - 
       21*t[32] + (15*t[33])/2 - (41*t[34])/4 + 14*t[36] - 7*t[37] + 
       (35*t[38])/4 - t[39]/4 + (13*t[40])/4 + (51*t[41])/8 - (23*t[42])/8 - 
       (117*t[43])/4 + (77*t[44])/4 - (151*t[45])/8 - (27*t[46])/4 + 
       (311*t[47])/4 - (897*t[48])/32 + (99*t[49])/16 - (245*t[50])/32 + 
       (295*t[51])/32 - (307*t[52])/32 - (51*t[53])/16 - (2715*t[54])/32 + 
       (5*t[58])/4 - (69*t[59])/8 + (473*t[60])/16 + (6643*t[61])/16 - 
       (10521*t[62])/32 - (3815*t[63])/32 + (5641*t[64])/32 + 
       (8491*t[65])/48 - (28063*t[66])/48 + 3*t[68] - 12*t[69] - 19*t[70] + 
       19*t[71] + (7*t[72])/2 + 45*t[73] - 26*t[74] - 34*t[75] + 
       (111*t[76])/2 - (21*t[77])/2 - 25*t[78] + 6*t[79] + 90*t[80] + 
       (73*t[81])/4 - (79*t[82])/2 - 31*t[83] + (47*t[84])/16 + 
       (267*t[85])/16 + (479*t[86])/4 - (1179*t[87])/16 - (1851*t[88])/32 - 
       (2073*t[89])/32 + 4*t[95] + (17*t[96])/2 + (5*t[97])/4 + 162*t[98] - 
       125*t[99] - 203*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 
       1 - w]*(8*t[1] + (169*t[2])/8 - (547*t[3])/8 - (2193*t[4])/16 - 
       (579*t[5])/16 + (1473*t[6])/16 + (2557*t[7])/16 + (3089*t[8])/16 + 
       (469*t[9])/2 - (1905*t[10])/32 + (2173*t[11])/16 + (4191*t[12])/32 + 
       (6527*t[13])/72 + (14489*t[14])/64 + (1973*t[15])/96 + (17*t[18])/2 - 
       t[19]/2 + 8*t[20] + 13*t[21] - t[22] - 11*t[23] + t[24] + 11*t[26] - 
       4*t[27] + 5*t[28] + t[29] - 21*t[30] - 11*t[31] + 8*t[32] - 8*t[33] + 
       22*t[34] + t[35] + 5*t[36] + 5*t[37] - (45*t[38])/4 + (39*t[39])/4 - 
       (65*t[40])/4 - (31*t[41])/4 + 9*t[42] - (241*t[43])/16 + 7*t[44] - 
       14*t[45] + t[46]/4 + (157*t[47])/2 + (403*t[48])/16 - 
       (1085*t[49])/32 - (149*t[50])/16 + (1117*t[51])/64 + (341*t[52])/16 + 
       (1501*t[53])/32 + (149*t[54])/2 - t[56]/2 + 2*t[57] + (5*t[58])/2 - 
       (69*t[59])/8 + (473*t[60])/16 + (6643*t[61])/16 - (10521*t[62])/32 - 
       (3815*t[63])/32 + (5641*t[64])/32 + (8491*t[65])/48 - 
       (28063*t[66])/48 + 3*t[68] - 12*t[69] - 19*t[70] + 19*t[71] + 
       (7*t[72])/2 + 45*t[73] - 26*t[74] - 34*t[75] + (111*t[76])/2 - 
       (21*t[77])/2 - 25*t[78] + 6*t[79] + 90*t[80] + (73*t[81])/4 - 
       (79*t[82])/2 - 31*t[83] + (47*t[84])/16 + (267*t[85])/16 + 
       (479*t[86])/4 - (1179*t[87])/16 - (1851*t[88])/32 - (2073*t[89])/32 + 
       4*t[95] + (17*t[96])/2 + (5*t[97])/4 + 162*t[98] - 125*t[99] - 
       203*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-7*t[1])/4 - (29*t[2])/12 - (1367*t[3])/32 - 
       (63*t[4])/2 - (11857*t[5])/192 + (1475*t[6])/48 + 183*t[7] + 
       (563*t[8])/48 + (14893*t[9])/64 + (953*t[10])/16 + (3919*t[11])/32 + 
       (5403*t[12])/64 + (26233*t[13])/432 + (83909*t[14])/576 - 
       (87907*t[15])/3456 - (2*t[17])/3 + (10*t[18])/3 - (4*t[19])/3 - 
       t[20]/3 - (4*t[21])/3 - (5*t[22])/3 + (34*t[23])/3 + 12*t[24] - 
       6*t[25] + (7*t[26])/3 - (7*t[27])/3 + 2*t[28] - (31*t[29])/3 - 
       (65*t[30])/6 + (23*t[31])/6 - t[32]/3 + (5*t[33])/3 + (91*t[34])/6 - 
       2*t[35] - t[36] + 4*t[37] - (7*t[38])/6 + (13*t[39])/3 - 
       (19*t[40])/3 + (49*t[41])/6 - (31*t[42])/6 - (601*t[43])/96 - 
       (11*t[44])/6 - (27*t[45])/8 - 9*t[46] + (449*t[47])/12 - 
       (1055*t[48])/48 + (113*t[49])/24 + (817*t[50])/48 + (331*t[51])/48 - 
       (1097*t[52])/48 - (35*t[53])/8 + (299*t[54])/48 + (4*t[56])/3 + 
       (16*t[57])/3 + 3*t[58] + (79*t[59])/6 + (3583*t[60])/24 + 
       (7173*t[61])/16 - (30197*t[62])/96 + (2631*t[63])/32 - 
       (23147*t[64])/96 + (3653*t[65])/48 - (60029*t[66])/144 + t[67]/3 + 
       (5*t[68])/3 + (22*t[69])/3 + t[70]/3 - t[71]/3 + (16*t[72])/3 - 
       (89*t[73])/6 - (29*t[74])/3 + (89*t[75])/6 + (92*t[76])/3 + 
       (39*t[77])/2 - (17*t[78])/2 - 14*t[79] + (147*t[80])/4 + 
       (91*t[81])/4 - (145*t[82])/12 + (59*t[83])/2 + (49*t[84])/3 + 
       (581*t[85])/24 + (617*t[86])/24 - (2677*t[87])/24 - (2677*t[88])/48 - 
       (517*t[89])/16 - t[94]/3 + (19*t[97])/6 + 116*t[98] - 84*t[99] - 
       202*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]^2*
      (4*t[1] - (17*t[2])/8 - (27*t[3])/2 + (107*t[4])/8 - (299*t[5])/16 + 
       (47*t[6])/4 + 9*t[7] + (249*t[8])/8 + (361*t[9])/16 - (363*t[10])/16 + 
       (107*t[11])/2 + (23*t[12])/4 + (553*t[13])/24 + (1359*t[14])/32 + 
       (1037*t[15])/96 + t[16]/4 + 9*t[25] - 9*t[26] - 2*t[27] - 4*t[30] - 
       2*t[31] - t[36]/2 - 3*t[37] + 2*t[39] + (3*t[40])/2 - 3*t[43] - 
       2*t[44] + t[45]/4 - t[46]/2 - t[47]/2 + (29*t[48])/4 - 
       (215*t[49])/16 - (31*t[50])/4 + (173*t[51])/32 + (15*t[52])/4 + 
       (127*t[53])/16 + (91*t[54])/8 - t[59]/2 + (141*t[60])/2 + 
       (1269*t[61])/8 - 53*t[62] + 38*t[63] - (179*t[64])/16 - 
       (403*t[65])/12 - (1135*t[66])/12 + t[67] - t[68]/4 - 3*t[69] + t[70] - 
       t[71] + 7*t[72] + 3*t[74] - 15*t[76] - (5*t[77])/2 + 27*t[78] + 
       5*t[80] + (7*t[81])/2 - 3*t[82] + (27*t[84])/2 - (107*t[85])/4 - 
       (21*t[86])/2 - (61*t[87])/4 + (3*t[88])/8 - (465*t[89])/16 - t[90]/4 - 
       2*t[95] - 2*t[96] + 2*t[97] - 96*t[98] + 156*t[99] - 201*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]^2*(12*t[2] - (267*t[3])/8 - 
       t[4]/4 + (81*t[5])/8 + 19*t[6] + (55*t[7])/8 + (243*t[8])/8 - 
       (9*t[9])/2 - (125*t[10])/8 + (77*t[11])/2 + (91*t[12])/8 + 
       (1153*t[13])/72 + (313*t[14])/6 + (2471*t[15])/144 + 2*t[18] + 
       4*t[19] + 9*t[20] + 3*t[21] - 6*t[22] - 3*t[23] + 2*t[24] - 5*t[27] - 
       (9*t[29])/2 + t[30] + (7*t[32])/2 + t[33] + (7*t[34])/2 - t[37] + 
       2*t[39] + (9*t[41])/4 - 2*t[42] - t[43]/8 - (31*t[44])/4 + 
       (13*t[45])/2 - t[46] - (31*t[47])/2 + (47*t[48])/4 + (3*t[49])/4 - 
       (17*t[50])/4 + (11*t[51])/8 + (37*t[52])/4 - (3*t[53])/4 + 
       (29*t[54])/2 - t[59]/2 + (141*t[60])/2 + (1269*t[61])/8 - 53*t[62] + 
       38*t[63] - (179*t[64])/16 - (403*t[65])/12 - (1135*t[66])/12 + t[67] - 
       t[68]/4 - 3*t[69] + t[70] - t[71] + 7*t[72] + 3*t[74] - 15*t[76] - 
       (5*t[77])/2 + 27*t[78] + 5*t[80] + (7*t[81])/2 - 3*t[82] + 
       (27*t[84])/2 - (107*t[85])/4 - (21*t[86])/2 - (61*t[87])/4 + 
       (3*t[88])/8 - (465*t[89])/16 - t[90]/4 - 2*t[95] - 2*t[96] + 2*t[97] - 
       96*t[98] + 156*t[99] - 201*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((91*t[1])/4 + (411*t[2])/8 - (679*t[3])/8 + 149*t[4] + (47*t[5])/16 + 
       11*t[6] + (3179*t[7])/16 + (2141*t[8])/16 + (461*t[9])/2 - 
       (1337*t[10])/16 + (5563*t[11])/16 - (111*t[12])/16 + 
       (54923*t[13])/288 + (8647*t[14])/48 - (305*t[15])/12 + (31*t[18])/2 + 
       16*t[20] + 4*t[21] - t[22] + (11*t[23])/2 - t[24] + 12*t[25] - 
       12*t[26] - 10*t[27] - 9*t[28] - 2*t[29] + 9*t[30] - 21*t[31] + 
       25*t[32] - 21*t[33] + (89*t[34])/2 + 11*t[35] - 3*t[37] - 
       (13*t[38])/2 + 3*t[39] - (135*t[40])/4 - (43*t[41])/4 + (31*t[42])/2 + 
       (409*t[43])/16 - 13*t[44] - (809*t[45])/8 - (99*t[46])/4 + 
       (459*t[47])/2 - (111*t[48])/16 + (399*t[49])/8 + (305*t[50])/16 - 
       (213*t[51])/16 + (71*t[52])/16 - (399*t[53])/8 - (1249*t[54])/16 - 
       2*t[58] - (171*t[59])/8 + (505*t[60])/2 + (895*t[61])/2 - 
       (7257*t[62])/16 + (1373*t[63])/16 + (1729*t[64])/8 - (245*t[65])/8 - 
       (3695*t[66])/6 - t[67]/2 - 30*t[69] - 5*t[70] + 5*t[71] - 28*t[72] - 
       6*t[73] - 8*t[74] + 16*t[75] + (213*t[76])/4 + 4*t[77] - 
       (59*t[78])/4 - 16*t[79] + 259*t[80] + (99*t[81])/2 - (37*t[82])/4 - 
       6*t[83] - (127*t[84])/8 + (535*t[85])/8 + 279*t[86] - (1193*t[87])/8 - 
       (1193*t[88])/16 - (371*t[89])/8 + (25*t[97])/4 + 354*t[98] - 
       300*t[99] - (387*t[100])/2) + HPL[{0, 1}, 1 - w]*Qep[u, v, w]*
      ((64*t[1])/9 + (248*t[2])/3 - (190*t[3])/9 + (56*t[4])/3 - 
       (1271*t[5])/9 + (1222*t[6])/9 - (94*t[7])/3 - (230*t[8])/3 + 
       (1495*t[9])/9 + (178*t[10])/3 - (874*t[11])/3 - (697*t[12])/9 - 
       (18707*t[13])/81 + (215*t[14])/27 + (305*t[15])/18 - (320*t[18])/9 - 
       (128*t[20])/9 - (320*t[21])/9 - (64*t[22])/9 + (320*t[23])/9 - 
       (448*t[24])/9 - (64*t[27])/9 + (32*t[29])/9 - (64*t[30])/3 - 
       (64*t[31])/3 + (256*t[32])/9 - (128*t[33])/3 - (128*t[34])/9 + 
       (32*t[36])/3 - (128*t[38])/9 + (128*t[39])/3 - (160*t[40])/3 - 
       (176*t[41])/9 + (16*t[42])/9 + (496*t[43])/9 + (32*t[44])/9 - 
       (148*t[45])/9 + 16*t[46] - (136*t[47])/3 + (68*t[48])/3 - 
       (320*t[49])/9 + (428*t[50])/9 - (188*t[51])/9 + (404*t[52])/9 + 
       (320*t[53])/9 + (116*t[54])/9 - (32*t[58])/9 + (32*t[59])/3 - 
       (2888*t[60])/9 - (3428*t[61])/9 + (1466*t[62])/3 + (1286*t[63])/3 - 
       (346*t[64])/3 - (13988*t[65])/27 + (16556*t[66])/27 - (64*t[69])/3 + 
       (448*t[70])/9 - (448*t[71])/9 - (64*t[72])/9 - (32*t[73])/3 + 
       (64*t[74])/3 + (32*t[75])/3 - (448*t[76])/9 + (160*t[77])/9 - 
       (32*t[78])/9 - (944*t[80])/9 - (304*t[81])/9 - (272*t[82])/9 - 
       (256*t[83])/9 - (160*t[84])/9 - (184*t[85])/9 - (2200*t[86])/9 + 
       (1144*t[87])/9 + (572*t[88])/9 - (1724*t[89])/9 - (32*t[97])/9 - 
       (512*t[98])/3 + 128*t[99] - 192*t[100]) + HPL[{0, 1}, 1 - w]*
      Qep[w, v, u]*((-272*t[1])/9 + (136*t[2])/3 + (818*t[3])/9 + 
       (880*t[4])/3 - (1055*t[5])/9 + (1486*t[6])/9 - 302*t[7] - 126*t[8] - 
       (1013*t[9])/9 - (542*t[10])/3 - 418*t[11] - (1549*t[12])/9 - 
       (15221*t[13])/81 - (7567*t[14])/27 - (5321*t[15])/54 - (128*t[18])/9 - 
       (128*t[20])/9 - (128*t[21])/9 + (128*t[22])/9 + (128*t[23])/9 - 
       (64*t[24])/9 - (256*t[27])/9 + (32*t[29])/9 - (64*t[30])/3 + 
       (64*t[31])/3 - (128*t[32])/9 - (704*t[34])/9 + (32*t[36])/3 + 
       (64*t[38])/9 + (64*t[40])/3 - (224*t[41])/9 + (160*t[42])/9 - 
       (164*t[43])/9 - (64*t[44])/9 + (68*t[45])/9 - (184*t[47])/3 + 
       (184*t[48])/3 - (44*t[49])/9 - (88*t[50])/9 + (22*t[51])/9 + 
       (152*t[52])/9 + (44*t[53])/9 + (368*t[54])/9 + (64*t[58])/9 - 
       16*t[59] - (1208*t[60])/9 - (5540*t[61])/9 + 886*t[62] - 
       (802*t[63])/3 - (610*t[64])/3 - (10196*t[65])/27 + (20540*t[66])/27 + 
       (64*t[69])/3 + (448*t[70])/9 - (448*t[71])/9 - (256*t[72])/9 + 
       (160*t[73])/3 + 64*t[74] - (160*t[75])/3 - (832*t[76])/9 - 
       (224*t[77])/9 + (448*t[78])/9 - (2672*t[80])/9 - (496*t[81])/9 - 
       (848*t[82])/9 - (448*t[83])/9 + (416*t[84])/9 - (712*t[85])/9 - 
       (2200*t[86])/9 + (1288*t[87])/9 + (644*t[88])/9 + (556*t[89])/9 - 
       (128*t[97])/9 - (1280*t[98])/3 + 512*t[99] - 192*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*
      ((7*t[1])/2 - (15*t[2])/2 + (7*t[3])/2 - (219*t[4])/2 - 54*t[5] + 
       (67*t[6])/8 + (97*t[7])/2 + 87*t[8] + (47*t[9])/2 - (27*t[10])/2 - 
       (609*t[11])/8 + (227*t[12])/4 - 129*t[13] + (247*t[14])/24 + 
       (379*t[15])/12 - 7*t[16] - 15*t[25] + 6*t[26] - 6*t[27] + 32*t[30] - 
       8*t[31] - 12*t[36] + 12*t[37] + 5*t[38] - 9*t[39] + 14*t[40] + 
       8*t[43] - 24*t[44] + 11*t[45] - (13*t[46])/2 - 22*t[47] + 
       (147*t[48])/8 - (45*t[49])/2 + (27*t[50])/8 + (37*t[51])/4 + 
       (5*t[52])/8 + (51*t[53])/2 + (593*t[54])/8 + 6*t[59] - (211*t[60])/4 + 
       (595*t[61])/4 + (233*t[62])/8 + (2915*t[63])/8 - (75*t[64])/8 - 
       47*t[65] + (872*t[66])/3 + 6*t[68] - 4*t[70] + 4*t[71] + 28*t[72] - 
       2*t[74] - 81*t[76] - 30*t[77] + 147*t[78] - 70*t[80] - t[81]/2 + 
       (65*t[82])/2 - 36*t[84] - (359*t[85])/4 + 2*t[86] + (239*t[87])/4 - 
       (25*t[88])/8 - (707*t[89])/8 + 3*t[90] + 4*t[95] - 14*t[96] - 
       2*t[97] - 384*t[98] + 540*t[99] - 192*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*(-t[1] - (39*t[2])/2 + 
       (83*t[3])/4 - (11*t[4])/4 + 3*t[5] + (169*t[6])/4 + 5*t[7] - 
       (113*t[8])/2 - 81*t[9] + (183*t[10])/8 - (75*t[11])/2 + 
       (211*t[12])/8 - (214*t[13])/9 - (253*t[14])/16 + (277*t[15])/18 - 
       (3*t[17])/2 - 4*t[19] + 12*t[20] + 4*t[21] - 2*t[23] + 6*t[24] - 
       8*t[27] - 13*t[29] + 26*t[30] - 33*t[32] + 24*t[33] + 30*t[34] + 
       7*t[37] - 46*t[39] + 18*t[40] - (7*t[41])/2 + (5*t[42])/2 - 
       (11*t[43])/2 + (79*t[44])/2 - 27*t[45] - 2*t[46] + 26*t[47] - 
       (19*t[48])/4 + (109*t[49])/8 + (133*t[50])/4 + (43*t[51])/16 - 
       (53*t[52])/4 - (109*t[53])/8 + 50*t[54] + 6*t[55] + 6*t[59] - 
       (211*t[60])/4 + (595*t[61])/4 + (233*t[62])/8 + (2915*t[63])/8 - 
       (75*t[64])/8 - 47*t[65] + (872*t[66])/3 + 6*t[68] - 4*t[70] + 
       4*t[71] + 28*t[72] - 2*t[74] - 81*t[76] - 30*t[77] + 147*t[78] - 
       70*t[80] - t[81]/2 + (65*t[82])/2 - 36*t[84] - (359*t[85])/4 + 
       2*t[86] + (239*t[87])/4 - (25*t[88])/8 - (707*t[89])/8 + 3*t[90] + 
       4*t[95] - 14*t[96] - 2*t[97] - 384*t[98] + 540*t[99] - 192*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((2*t[1])/3 + (5*t[2])/6 - (139*t[3])/12 + 2*t[4] + (323*t[5])/24 - 
       (63*t[6])/4 + (79*t[7])/2 + (149*t[8])/6 + (803*t[9])/24 - 
       (569*t[10])/12 + (1121*t[11])/12 - (65*t[12])/24 + (14275*t[13])/216 + 
       (521*t[14])/12 + (347*t[15])/144 + (8*t[18])/3 + (4*t[20])/3 + 
       (8*t[21])/3 - (46*t[22])/3 - (8*t[23])/3 + (14*t[24])/3 + 
       (8*t[25])/3 - (19*t[26])/3 - 6*t[27] - (4*t[29])/3 + 4*t[30] - 
       (8*t[31])/3 - (8*t[32])/3 + 4*t[33] + (20*t[34])/3 + (8*t[38])/3 - 
       4*t[39] + (13*t[40])/3 + (11*t[41])/3 - (7*t[42])/3 + (65*t[43])/12 - 
       (2*t[44])/3 - (29*t[45])/6 - (17*t[46])/3 + 12*t[47] + (37*t[48])/6 + 
       (41*t[49])/4 - (25*t[50])/2 + (23*t[51])/24 + (23*t[52])/6 - 
       (41*t[53])/4 + (32*t[54])/3 + t[58]/3 + t[59]/2 + (463*t[60])/6 + 
       (722*t[61])/3 - (263*t[62])/2 + (73*t[63])/2 - (65*t[64])/4 + 
       (584*t[65])/9 - (4105*t[66])/18 - (4*t[70])/3 + (4*t[71])/3 + 
       (4*t[72])/3 - 10*t[73] - 2*t[74] + 8*t[75] + (49*t[76])/3 - 
       (4*t[77])/3 - (7*t[78])/3 + (158*t[80])/3 + (25*t[81])/3 + 
       (14*t[82])/3 + (34*t[83])/3 + (89*t[84])/6 - (2*t[85])/3 + 
       (58*t[86])/3 - (97*t[87])/3 - (97*t[88])/6 - (19*t[89])/12 + 
       (5*t[97])/3 + 80*t[98] - 40*t[99] - 190*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*((77*t[1])/8 + 6*t[2] - 
       (71*t[3])/8 - (85*t[4])/2 + (111*t[5])/4 - (391*t[6])/16 + 
       (1341*t[7])/16 + (923*t[8])/16 + (833*t[9])/16 - (919*t[10])/16 + 
       (573*t[11])/4 - (91*t[12])/8 + (6895*t[13])/96 + (545*t[14])/12 + 
       (1091*t[15])/96 + 6*t[18] + 6*t[21] - 12*t[22] - 6*t[23] + 6*t[24] + 
       6*t[25] - (33*t[26])/4 - 6*t[27] - 8*t[31] - (9*t[32])/2 + 
       (9*t[33])/2 + (37*t[34])/4 + 3*t[38] - (9*t[39])/2 + (27*t[40])/4 + 
       (57*t[41])/8 - (33*t[42])/8 + (301*t[43])/16 - 3*t[44] + 
       (61*t[45])/8 + (23*t[46])/4 + (57*t[47])/4 + t[48]/4 - (81*t[49])/8 - 
       (11*t[50])/4 + (51*t[51])/8 - 10*t[52] + (81*t[53])/8 + 38*t[54] + 
       (3*t[58])/4 + (15*t[59])/4 + (263*t[60])/4 + (1081*t[61])/4 - 
       (4925*t[62])/16 - (959*t[63])/16 + (1783*t[64])/8 + (1445*t[65])/12 - 
       (8719*t[66])/24 - (3*t[67])/4 - 3*t[69] - 9*t[70] + 9*t[71] + 
       (11*t[74])/2 + (87*t[76])/4 - 3*t[78] + 51*t[79] + (363*t[80])/2 + 
       7*t[81] + (11*t[82])/4 + 3*t[83] + (45*t[84])/2 - (283*t[85])/8 + 
       181*t[86] - (149*t[87])/8 - (149*t[88])/16 - (5*t[89])/2 + 
       (3*t[94])/2 + 108*t[98] - 72*t[99] - 189*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*((87*t[1])/8 + 22*t[2] - 
       (213*t[3])/4 - (111*t[4])/2 - (227*t[5])/16 - (323*t[6])/8 + 
       (2165*t[7])/16 + (591*t[8])/16 + (1277*t[9])/8 - (829*t[10])/16 + 
       (2543*t[11])/16 + (877*t[12])/16 + (8917*t[13])/96 + (1351*t[14])/12 - 
       (325*t[15])/24 + 7*t[18] + 3*t[21] + (7*t[22])/2 - 3*t[23] + 
       (9*t[24])/2 + 6*t[25] - 6*t[26] - 6*t[27] - 27*t[31] + (9*t[32])/2 - 
       (9*t[33])/2 + (113*t[34])/4 - (3*t[38])/2 + (9*t[39])/2 - 
       (45*t[40])/4 + (3*t[41])/8 - (15*t[42])/8 - (93*t[43])/16 - 3*t[44] - 
       (173*t[45])/8 - 3*t[46] + (315*t[47])/4 + (279*t[48])/16 - t[49]/4 + 
       (519*t[50])/16 + (7*t[51])/2 - (435*t[52])/16 + t[53]/4 - 
       (103*t[54])/16 + 3*t[58] + (15*t[59])/4 + (263*t[60])/4 + 
       (1081*t[61])/4 - (4925*t[62])/16 - (959*t[63])/16 + (1783*t[64])/8 + 
       (1445*t[65])/12 - (8719*t[66])/24 - (3*t[67])/4 - 3*t[69] - 9*t[70] + 
       9*t[71] + (11*t[74])/2 + (87*t[76])/4 - 3*t[78] + 51*t[79] + 
       (363*t[80])/2 + 7*t[81] + (11*t[82])/4 + 3*t[83] + (45*t[84])/2 - 
       (283*t[85])/8 + 181*t[86] - (149*t[87])/8 - (149*t[88])/16 - 
       (5*t[89])/2 + (3*t[94])/2 + 108*t[98] - 72*t[99] - 189*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((11*t[1])/4 - (33*t[2])/4 - (833*t[3])/8 + (159*t[4])/2 - 
       (2225*t[5])/16 + (1231*t[6])/16 + (263*t[7])/4 + (853*t[8])/4 + 
       (1837*t[9])/16 - 22*t[10] + (379*t[11])/16 + (249*t[12])/16 + 
       (2909*t[13])/72 + (2845*t[14])/24 - (3973*t[15])/288 - 9*t[22] + 
       10*t[23] + 2*t[24] - 8*t[28] - 2*t[29] - 11*t[30] - 2*t[31] + 
       (13*t[32])/2 + (11*t[33])/2 + (15*t[34])/2 + 8*t[35] + 4*t[36] + 
       t[37] - t[38]/2 - (9*t[39])/2 + (65*t[40])/4 + (7*t[41])/2 - 
       (7*t[42])/2 + (13*t[43])/8 - (31*t[44])/4 - 20*t[45] + 28*t[47] + 
       (621*t[48])/16 + (79*t[49])/2 - (399*t[50])/16 - (71*t[51])/4 + 
       (39*t[52])/16 - (59*t[53])/2 + (951*t[54])/16 - t[56]/2 - 2*t[57] + 
       (43*t[59])/4 + (641*t[60])/8 + (1273*t[61])/8 - (1285*t[62])/16 - 
       (779*t[63])/16 - (101*t[64])/16 + (3073*t[65])/24 - (2531*t[66])/24 - 
       2*t[68] + 14*t[70] - 14*t[71] + 4*t[72] + 8*t[73] - 10*t[74] - 
       4*t[75] + (57*t[76])/2 + 2*t[77] - (53*t[78])/2 - 32*t[79] + 
       27*t[80] + (103*t[81])/2 - 38*t[82] + 28*t[83] + (85*t[84])/8 + 
       (185*t[85])/8 + (181*t[86])/2 - (125*t[87])/8 - (69*t[88])/16 + 
       (1879*t[89])/16 - 4*t[95] + 6*t[96] + 10*t[97] + 54*t[98] - 66*t[99] - 
       185*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      (-11*t[1] - (23*t[2])/2 - (221*t[3])/8 + (157*t[4])/8 - (429*t[5])/16 + 
       7*t[6] + (351*t[7])/8 + (535*t[8])/8 + (769*t[9])/16 + 
       (1805*t[10])/16 - (61*t[11])/2 - (43*t[12])/2 + (6137*t[13])/144 + 
       (959*t[14])/32 + (2027*t[15])/96 + 12*t[25] + 2*t[26] - 4*t[27] + 
       8*t[28] + 6*t[29] - 8*t[30] + 6*t[31] + 4*t[32] - 4*t[33] - 
       (7*t[34])/2 + 10*t[35] + 10*t[36] - 9*t[37] - 13*t[38] + 15*t[39] - 
       (17*t[40])/2 + (7*t[41])/4 - (7*t[42])/4 + (15*t[43])/2 - 21*t[44] + 
       (19*t[45])/4 + (3*t[46])/2 - (11*t[47])/2 + (17*t[48])/8 + 
       (465*t[49])/16 - (231*t[50])/8 - (187*t[51])/32 + (155*t[52])/8 - 
       (313*t[53])/16 - 28*t[54] - (3*t[58])/2 + (43*t[59])/4 + 
       (641*t[60])/8 + (1273*t[61])/8 - (1285*t[62])/16 - (779*t[63])/16 - 
       (101*t[64])/16 + (3073*t[65])/24 - (2531*t[66])/24 - 2*t[68] + 
       14*t[70] - 14*t[71] + 4*t[72] + 8*t[73] - 10*t[74] - 4*t[75] + 
       (57*t[76])/2 + 2*t[77] - (53*t[78])/2 - 32*t[79] + 27*t[80] + 
       (103*t[81])/2 - 38*t[82] + 28*t[83] + (85*t[84])/8 + (185*t[85])/8 + 
       (181*t[86])/2 - (125*t[87])/8 - (69*t[88])/16 + (1879*t[89])/16 - 
       4*t[95] + 6*t[96] + 10*t[97] + 54*t[98] - 66*t[99] - 185*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((31*t[1])/12 + (367*t[2])/24 - (193*t[3])/8 - (15*t[4])/2 - 
       (611*t[5])/48 + (487*t[6])/48 - (383*t[7])/6 - (81*t[8])/8 + 
       (143*t[9])/16 + (2543*t[10])/48 + (79*t[11])/6 - (59*t[12])/6 + 
       (19193*t[13])/864 + (20747*t[14])/288 + (6235*t[15])/288 + 
       (5*t[17])/4 - (2*t[18])/3 + (16*t[19])/3 - (2*t[20])/3 + 
       (10*t[21])/3 - (4*t[22])/3 - (10*t[23])/3 + (2*t[24])/3 + 
       (2*t[27])/3 + 6*t[28] + (2*t[29])/3 - 4*t[30] - 17*t[31] + 
       (10*t[32])/3 - 4*t[33] + (7*t[34])/3 - 10*t[35] - 7*t[37] - 
       (5*t[38])/3 + 8*t[39] - 6*t[40] + (14*t[41])/3 - 6*t[42] + 
       (11*t[43])/2 - (10*t[44])/3 - (41*t[45])/12 + (5*t[46])/12 - 
       (137*t[47])/6 + (145*t[48])/8 - (151*t[49])/16 + (35*t[50])/24 + 
       (97*t[51])/32 + (55*t[52])/8 + (151*t[53])/16 + (163*t[54])/12 - 
       (2*t[58])/3 + (15*t[59])/4 - (21*t[60])/2 + (755*t[61])/6 + 
       (1663*t[62])/24 + (847*t[63])/24 - (543*t[64])/8 - (331*t[65])/12 - 
       (271*t[66])/9 - t[67] - 8*t[69] + (4*t[70])/3 - (4*t[71])/3 + 
       (23*t[72])/3 - 6*t[73] + (68*t[74])/3 + 6*t[75] - (4*t[76])/3 + 
       (13*t[77])/3 - (5*t[78])/3 + 26*t[79] + (71*t[80])/2 + (23*t[81])/6 - 
       (23*t[82])/6 - 33*t[83] + (29*t[84])/2 - (299*t[85])/12 - 
       (919*t[86])/6 - (7*t[87])/4 - (7*t[88])/8 - (653*t[89])/12 + t[94]/2 + 
       t[97]/3 - 8*t[98] - (325*t[100])/2) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((43*t[1])/6 + (15*t[2])/2 - (475*t[3])/24 - (177*t[4])/4 + 
       (629*t[5])/48 - (113*t[6])/24 + (253*t[7])/4 - (57*t[8])/2 + 
       (2585*t[9])/48 + (527*t[10])/8 + (181*t[11])/4 + t[12]/48 - 
       (319*t[13])/27 + (7379*t[14])/72 + (4271*t[15])/96 - (28*t[18])/3 - 
       2*t[19] - (10*t[20])/3 - (28*t[21])/3 - (20*t[22])/3 + (28*t[23])/3 - 
       (38*t[24])/3 + 4*t[25] - 4*t[26] + (16*t[27])/3 + (10*t[29])/3 - 
       4*t[30] - 10*t[31] + (32*t[32])/3 - 12*t[33] + (56*t[34])/3 - 
       6*t[36] - (22*t[38])/3 + 12*t[39] - 18*t[40] - (29*t[41])/6 + 
       (13*t[42])/6 + (319*t[43])/24 + (7*t[44])/3 + (5*t[45])/6 - t[46]/2 - 
       21*t[47] - (139*t[48])/8 + (283*t[49])/24 + (191*t[50])/24 - 
       (625*t[51])/48 + (305*t[52])/24 - (283*t[53])/24 - (349*t[54])/24 - 
       (19*t[58])/3 + 10*t[59] - (11*t[60])/6 + (1925*t[61])/12 - 
       (1165*t[62])/8 + (2253*t[63])/8 - (781*t[64])/8 - (3763*t[65])/36 - 
       (2669*t[66])/36 - 6*t[69] + (14*t[70])/3 - (14*t[71])/3 + 
       (34*t[72])/3 - 12*t[73] - 8*t[74] + 12*t[75] + (55*t[76])/3 + 
       (38*t[77])/3 - (52*t[78])/3 + (107*t[80])/3 + (37*t[81])/3 + 
       (44*t[82])/3 + (4*t[83])/3 - (38*t[84])/3 + (94*t[85])/3 - 
       (127*t[86])/6 - (208*t[87])/3 - (104*t[88])/3 - (1537*t[89])/12 + 
       (14*t[97])/3 + 128*t[98] - 156*t[99] - 162*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((29*t[1])/4 - (63*t[2])/4 + 21*t[3] + (1209*t[4])/4 - (1051*t[5])/8 - 
       (45*t[6])/4 - (131*t[7])/4 - (1447*t[8])/8 + (71*t[9])/4 - 
       (163*t[10])/2 + (457*t[11])/4 - (241*t[12])/8 + (12167*t[13])/144 + 
       (2623*t[14])/48 - (2501*t[15])/48 - (11*t[16])/4 + 8*t[22] + 8*t[23] + 
       2*t[24] + t[25] + 6*t[26] + 2*t[27] - 4*t[28] + 5*t[29] - 
       (11*t[30])/2 + 6*t[31] + 10*t[32] - 10*t[33] - (31*t[34])/2 + 
       4*t[35] - (23*t[36])/2 - 3*t[37] - t[38]/4 + 5*t[39] + (5*t[40])/4 - 
       (35*t[41])/4 - t[42]/4 - (119*t[43])/8 + (7*t[44])/2 + (95*t[45])/4 - 
       8*t[46] - (49*t[47])/4 - (519*t[48])/8 + (33*t[49])/8 + (85*t[50])/8 - 
       (47*t[51])/16 - (101*t[52])/8 - (33*t[53])/8 - (613*t[54])/8 + t[58] + 
       (35*t[59])/8 + (1641*t[60])/8 - (99*t[61])/8 + (1545*t[62])/16 - 
       (1525*t[63])/16 - (7381*t[64])/16 - 199*t[65] - (973*t[66])/4 + 
       (3*t[68])/2 - 8*t[69] - 18*t[70] + 18*t[71] - 2*t[72] + 42*t[73] - 
       4*t[74] - 38*t[75] + 29*t[76] - (3*t[77])/2 - (169*t[78])/4 - 
       38*t[79] - (205*t[80])/2 + 38*t[81] - (149*t[82])/2 - 49*t[83] + 
       (91*t[84])/4 + (713*t[85])/8 - (275*t[86])/2 - (981*t[87])/8 - 
       (981*t[88])/16 - (379*t[89])/16 + 4*t[92] - 4*t[93] - (5*t[97])/4 + 
       144*t[98] - 260*t[99] - 160*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((3*t[1])/8 - (47*t[2])/8 - (91*t[3])/8 + 
       (555*t[4])/8 - (605*t[5])/8 + (1749*t[6])/16 - (315*t[7])/8 + 
       (3*t[8])/2 + (487*t[9])/8 + (2681*t[10])/16 - (1705*t[11])/16 - 
       (1109*t[12])/16 - (41*t[13])/36 + (16673*t[14])/96 + 
       (1135*t[15])/144 + t[17]/4 + 17*t[18] + t[19] - 37*t[20] + 21*t[21] + 
       (33*t[22])/2 - 12*t[23] + (63*t[24])/2 + 2*t[25] - (3*t[26])/2 - 
       t[27] + 14*t[28] + 9*t[29] - 10*t[30] + 18*t[31] - 2*t[32] + 
       (23*t[33])/2 - (21*t[34])/4 - 16*t[35] - 4*t[37] + (11*t[38])/4 + 
       (17*t[39])/2 - 9*t[40] - (13*t[41])/8 - (31*t[42])/8 - (21*t[43])/2 + 
       31*t[44] + (11*t[45])/4 - 13*t[46] - (43*t[47])/2 + (199*t[48])/16 + 
       (755*t[49])/16 - (481*t[50])/16 - (539*t[51])/32 + (853*t[52])/16 - 
       (747*t[53])/16 - (353*t[54])/16 + t[56] + 4*t[57] + 2*t[58] + 
       (35*t[59])/8 + (1641*t[60])/8 - (99*t[61])/8 + (1545*t[62])/16 - 
       (1525*t[63])/16 - (7381*t[64])/16 - 199*t[65] - (973*t[66])/4 + 
       (3*t[68])/2 - 8*t[69] - 18*t[70] + 18*t[71] - 2*t[72] + 42*t[73] - 
       4*t[74] - 38*t[75] + 29*t[76] - (3*t[77])/2 - (169*t[78])/4 - 
       38*t[79] - (205*t[80])/2 + 38*t[81] - (149*t[82])/2 - 49*t[83] + 
       (91*t[84])/4 + (713*t[85])/8 - (275*t[86])/2 - (981*t[87])/8 - 
       (981*t[88])/16 - (379*t[89])/16 + 4*t[92] - 4*t[93] - (5*t[97])/4 + 
       144*t[98] - 260*t[99] - 160*t[100]) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v]*((425*t[1])/72 + (29*t[2])/3 - (7289*t[3])/288 - 
       (3985*t[4])/48 + (14809*t[5])/576 - (16855*t[6])/288 + 
       (9451*t[7])/96 + (2087*t[8])/96 + (36295*t[9])/576 - (119*t[10])/3 + 
       (11785*t[11])/96 + (18269*t[12])/576 + (231769*t[13])/5184 + 
       (10115*t[14])/108 + (26969*t[15])/1152 - (7*t[16])/8 - (3*t[17])/8 + 
       (37*t[18])/9 + 2*t[19] - (41*t[20])/9 + (46*t[21])/9 - (7*t[22])/9 - 
       (46*t[23])/9 + (95*t[24])/9 + (5*t[25])/2 - (25*t[26])/4 + 
       (139*t[27])/18 - 3*t[28] + (77*t[29])/36 + (8*t[30])/3 - 
       (25*t[31])/3 + (37*t[32])/9 - (25*t[33])/6 + (449*t[34])/18 - 
       8*t[35] - (43*t[36])/12 - 3*t[37] - (227*t[38])/36 + (19*t[39])/6 - 
       (85*t[40])/12 + (19*t[41])/9 - t[42]/18 + (73*t[43])/36 - 
       (395*t[44])/72 - (1483*t[45])/144 + (15*t[46])/8 + (583*t[47])/24 - 
       (187*t[48])/12 + (2705*t[49])/288 - (53*t[50])/72 - (3737*t[51])/576 - 
       (227*t[52])/72 - (2561*t[53])/288 - (1111*t[54])/144 + t[56]/2 + 
       t[57] - (113*t[58])/36 + (71*t[59])/12 + (2819*t[60])/72 + 
       (33187*t[61])/144 - (27647*t[62])/96 + (12583*t[63])/96 + 
       (7207*t[64])/96 + (14567*t[65])/216 - (6346*t[66])/27 + (3*t[67])/4 + 
       t[68]/2 - (31*t[69])/3 - (113*t[70])/9 + (113*t[71])/9 + 
       (139*t[72])/18 - (67*t[73])/6 + (53*t[74])/6 + t[75]/6 + 
       (3217*t[76])/72 + (97*t[77])/36 - (2845*t[78])/72 + 4*t[79] + 
       (4969*t[80])/36 + (895*t[81])/72 + (2903*t[82])/72 + (260*t[83])/9 - 
       (1099*t[84])/144 + (779*t[85])/36 + (7651*t[86])/72 - (551*t[87])/9 - 
       (551*t[88])/18 - (4735*t[89])/72 - t[90]/4 + t[92]/2 - 2*t[93] - 
       (3*t[94])/4 + (193*t[97])/36 + (682*t[98])/3 - 270*t[99] - 
       (315*t[100])/2) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((21*t[1])/4 - (201*t[2])/8 - (393*t[3])/8 + (97*t[4])/4 - 
       (315*t[5])/16 + (315*t[6])/8 + (99*t[7])/8 + (1539*t[8])/8 + 
       (9*t[9])/16 + (215*t[10])/2 + (407*t[11])/8 - (803*t[12])/16 + 
       (323*t[13])/48 + (1043*t[14])/12 + (1069*t[15])/32 - 6*t[19] - 
       12*t[20] - 12*t[21] + 45*t[22] + 16*t[23] + 12*t[27] - 6*t[29] + 
       24*t[32] - 24*t[33] - 36*t[34] + 6*t[37] + (21*t[38])/2 + 24*t[39] - 
       (33*t[40])/4 - 9*t[41] + 6*t[42] - 12*t[43] + 60*t[45] - 
       (231*t[47])/4 - (21*t[48])/4 + (7*t[49])/8 - (99*t[50])/4 + 
       (47*t[51])/16 + (3*t[52])/4 - (7*t[53])/8 - (163*t[54])/4 + 
       (3*t[56])/2 + 6*t[57] - (85*t[59])/8 + (887*t[60])/8 + 
       (1153*t[61])/8 - (133*t[62])/4 - (749*t[63])/4 - (2753*t[64])/16 - 
       (85*t[65])/12 - (3529*t[66])/24 + (3*t[68])/2 + t[71] - 6*t[72] - 
       (15*t[76])/4 + 36*t[77] + (81*t[78])/4 - 105*t[80] + (33*t[81])/2 - 
       (267*t[82])/4 - 18*t[83] + (153*t[84])/4 + (133*t[85])/4 - 
       (99*t[86])/2 - (169*t[87])/4 - (169*t[88])/8 + (881*t[89])/16 + 
       (3*t[90])/2 - (21*t[97])/4 - 54*t[98] + 198*t[99] - 153*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((191*t[1])/8 + (87*t[2])/8 + (39*t[3])/4 + (1299*t[4])/8 - 
       (1091*t[5])/8 + (505*t[6])/8 + (417*t[7])/8 - (297*t[8])/8 + 
       (275*t[9])/2 - (1557*t[10])/16 + (557*t[11])/8 - (63*t[12])/16 + 
       (1055*t[13])/48 + (1193*t[14])/32 - (1323*t[15])/16 - (3*t[16])/2 - 
       12*t[25] - (51*t[26])/4 + 6*t[31] + (9*t[32])/2 - (9*t[33])/2 - 
       (21*t[34])/4 - 3*t[36] + 6*t[37] + 22*t[38] + (9*t[39])/2 - 15*t[40] + 
       (21*t[41])/8 - (21*t[42])/8 - (243*t[43])/8 + 12*t[44] - 
       (15*t[45])/2 - 27*t[46] + (39*t[47])/2 - t[48]/8 + (519*t[49])/16 + 
       (131*t[50])/8 + (309*t[51])/32 + (79*t[52])/8 - (519*t[53])/16 - 
       (23*t[54])/2 + (21*t[58])/4 - (85*t[59])/8 + (887*t[60])/8 + 
       (1153*t[61])/8 - (133*t[62])/4 - (749*t[63])/4 - (2753*t[64])/16 - 
       (85*t[65])/12 - (3529*t[66])/24 + (3*t[68])/2 + t[71] - 6*t[72] - 
       (15*t[76])/4 + 36*t[77] + (81*t[78])/4 - 105*t[80] + (33*t[81])/2 - 
       (267*t[82])/4 - 18*t[83] + (153*t[84])/4 + (133*t[85])/4 - 
       (99*t[86])/2 - (169*t[87])/4 - (169*t[88])/8 + (881*t[89])/16 + 
       (3*t[90])/2 - (21*t[97])/4 - 54*t[98] + 198*t[99] - 153*t[100]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - v]*(21*t[1] - 36*t[2] - 36*t[3] - 
       24*t[4] + 143*t[5] + 96*t[6] + 33*t[7] - 7*t[8] - 112*t[9] - 
       171*t[10] + 202*t[11] - 144*t[12] + (512*t[13])/3 + (305*t[14])/3 + 
       72*t[15] + 77*t[43] - 24*t[46] + 24*t[49] + 6*t[51] - 24*t[53] - 
       24*t[54] + 52*t[59] + 120*t[60] + 326*t[61] - 211*t[62] + 17*t[63] + 
       255*t[64] - 42*t[65] - (1508*t[66])/3 + 8*t[67] - 48*t[70] + 
       48*t[71] - 48*t[74] + 192*t[80] + 24*t[81] - 24*t[82] + 12*t[84] + 
       24*t[85] + 212*t[86] - 48*t[87] - 24*t[88] + 48*t[89] - 144*t[100]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w]*(t[2] - 48*t[3] + 96*t[4] - 215*t[5] - 
       44*t[6] + 190*t[7] + 26*t[8] + 297*t[9] - 156*t[10] + 168*t[11] + 
       119*t[12] + 11*t[13] + (367*t[14])/3 - (167*t[15])/2 - 32*t[18] + 
       48*t[21] - 64*t[23] + 52*t[41] - 52*t[42] + 24*t[43] - 62*t[45] + 
       216*t[47] - 12*t[48] - 12*t[50] + 12*t[52] + 12*t[54] + 52*t[59] + 
       120*t[60] + 326*t[61] - 211*t[62] + 17*t[63] + 255*t[64] - 42*t[65] - 
       (1508*t[66])/3 + 8*t[67] - 48*t[70] + 48*t[71] - 48*t[74] + 
       192*t[80] + 24*t[81] - 24*t[82] + 12*t[84] + 24*t[85] + 212*t[86] - 
       48*t[87] - 24*t[88] + 48*t[89] - 144*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((-1525*t[1])/144 + (281*t[2])/18 - (9023*t[3])/288 - (87*t[4])/32 - 
       (367*t[5])/18 + (387*t[6])/64 + (1545*t[7])/32 + (9353*t[8])/288 + 
       (2893*t[9])/36 - (12473*t[10])/576 + (17795*t[11])/576 + 
       (15761*t[12])/576 + (86669*t[13])/5184 + (61501*t[14])/1152 + 
       (3851*t[15])/864 + (3*t[17])/4 - (10*t[18])/9 + t[19]/2 + 
       (28*t[20])/9 - (29*t[21])/18 - (77*t[22])/18 + (19*t[23])/9 + 
       (89*t[24])/36 + (17*t[25])/9 - (169*t[26])/36 - (16*t[27])/3 + 
       t[28]/2 + (187*t[29])/72 + (35*t[30])/12 - (23*t[31])/9 + 
       (13*t[32])/36 + 2*t[33] + (805*t[34])/72 - (3*t[35])/2 + 
       (11*t[36])/6 + t[37] - (199*t[38])/36 - (7*t[39])/2 - (29*t[40])/9 + 
       (377*t[41])/144 - (601*t[42])/144 + t[43]/288 - (491*t[44])/144 - 
       (1099*t[45])/144 - (49*t[46])/18 + (121*t[47])/8 + (2783*t[48])/576 + 
       (671*t[49])/64 + (563*t[50])/64 - (2821*t[51])/1152 - 
       (1379*t[52])/576 - (687*t[53])/64 + (2927*t[54])/576 - t[56]/4 + 
       t[57]/2 - (13*t[58])/18 + (209*t[59])/48 + (6281*t[60])/144 + 
       (5777*t[61])/36 - (3353*t[62])/48 + (4589*t[63])/48 - 
       (2351*t[64])/48 - (10387*t[65])/432 - (24427*t[66])/216 - t[67]/4 - 
       (5*t[68])/8 + (25*t[69])/6 + (62*t[70])/9 - (62*t[71])/9 + 
       (29*t[72])/18 - (23*t[73])/2 - 7*t[74] + 16*t[75] - (49*t[76])/18 + 
       (41*t[77])/9 + (449*t[78])/36 - 5*t[79] - (13*t[80])/36 + 
       (659*t[81])/72 - (229*t[82])/36 + (109*t[83])/36 + (1345*t[84])/144 - 
       (5*t[85])/9 + (103*t[86])/36 - (370*t[87])/9 - (185*t[88])/9 - 
       (4813*t[89])/144 + t[90]/8 - t[92]/4 + t[93] + t[94]/4 + 
       (103*t[97])/72 - (34*t[98])/3 + 51*t[99] - 138*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((4*t[1])/3 - (7*t[2])/3 + (13*t[3])/12 + (243*t[4])/4 - 
       (683*t[5])/24 + 9*t[6] + (309*t[7])/8 + (373*t[8])/24 + (427*t[9])/6 - 
       (1405*t[10])/12 + (1721*t[11])/24 + (97*t[12])/12 + 
       (22177*t[13])/432 + (499*t[14])/48 - (769*t[15])/36 + (10*t[18])/3 + 
       (8*t[20])/3 + (16*t[21])/3 - (32*t[22])/3 - (16*t[23])/3 + 
       (4*t[24])/3 + (16*t[25])/3 - (14*t[26])/3 - 6*t[27] + (22*t[29])/3 - 
       (4*t[31])/3 + (8*t[32])/3 - 2*t[33] + (25*t[34])/3 + 6*t[36] + 
       t[38]/3 + 2*t[39] - (16*t[40])/3 + t[41]/3 + (7*t[42])/3 - 
       (139*t[43])/24 - (7*t[44])/3 - (245*t[45])/12 - (17*t[46])/6 + 
       (75*t[47])/2 + (95*t[48])/24 + (21*t[49])/8 + (37*t[50])/8 - 
       t[51]/48 - (71*t[52])/24 - (21*t[53])/8 - (301*t[54])/24 + 
       (5*t[58])/3 - (21*t[59])/2 + (277*t[60])/3 + (124*t[61])/3 - 8*t[62] - 
       88*t[63] + (233*t[64])/4 + (196*t[65])/9 - (2381*t[66])/18 - 2*t[69] - 
       (26*t[70])/3 + (26*t[71])/3 - (4*t[72])/3 + 18*t[73] - 4*t[74] - 
       18*t[75] + (23*t[76])/3 - (56*t[77])/3 + t[78]/3 + 4*t[79] + 
       (142*t[80])/3 + (23*t[81])/3 - (26*t[82])/3 - (64*t[83])/3 + 
       (47*t[84])/3 + (19*t[85])/6 + (203*t[86])/3 - (319*t[87])/6 - 
       (319*t[88])/12 + (83*t[89])/6 + t[97]/3 + 64*t[98] - 36*t[99] - 
       135*t[100]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w]*
      (12*t[1] + (191*t[2])/2 - 133*t[3] + (69*t[4])/2 - (189*t[5])/2 - 
       (313*t[6])/8 + (743*t[7])/4 + (115*t[8])/2 + (777*t[9])/4 - 
       (293*t[10])/4 + (277*t[11])/8 + (67*t[12])/4 - (2275*t[13])/36 + 
       (5755*t[14])/24 + (1169*t[15])/24 - (7*t[16])/2 + (7*t[17])/2 - 
       14*t[24] + 7*t[25] - 8*t[26] - 3*t[27] - 4*t[32] - 14*t[33] - 
       2*t[34] - 7*t[36] + 3*t[38] + 14*t[39] + 21*t[41] - 21*t[42] + 
       (27*t[43])/2 - 3*t[44] - (7*t[45])/2 + (59*t[46])/2 + (103*t[47])/2 + 
       (301*t[48])/8 - (23*t[49])/4 + (405*t[50])/8 - (51*t[51])/2 - 
       (285*t[52])/8 - (9*t[53])/4 - (121*t[54])/8 - 4*t[55] + (3*t[59])/2 + 
       (537*t[60])/4 + (1071*t[61])/4 - (1207*t[62])/8 + (515*t[63])/8 - 
       (815*t[64])/8 - (269*t[65])/4 - (1183*t[66])/12 - t[67]/2 - 9*t[68] - 
       6*t[70] + 6*t[71] - t[74] - (35*t[76])/2 - 11*t[77] + (47*t[78])/2 + 
       64*t[80] - 25*t[81] - (125*t[82])/2 - (21*t[84])/4 - (209*t[85])/4 + 
       42*t[86] - (107*t[87])/4 - (107*t[88])/8 + (207*t[89])/8 - 4*t[92] + 
       4*t[94] - 2*t[97] - 96*t[98] + 132*t[99] - 132*t[100]) + 
     HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - v]*(60*t[1] + (19*t[2])/4 - (23*t[3])/4 + 
       (177*t[4])/4 + (421*t[5])/4 + 27*t[6] - (53*t[7])/4 - (145*t[8])/2 - 
       109*t[9] + (751*t[10])/8 + (213*t[11])/4 - (1925*t[12])/8 + 
       (9607*t[13])/72 + (3965*t[14])/48 + (122*t[15])/3 + 8*t[16] - 
       3*t[17] + 3*t[18] + 6*t[21] - 7*t[23] + 6*t[24] - t[25] - 
       (75*t[26])/2 - 3*t[27] - 15*t[32] + 12*t[33] + 4*t[34] + 16*t[36] + 
       42*t[38] - 12*t[39] + 2*t[40] + 3*t[41] - 3*t[42] - 3*t[43] - 
       3*t[44] - 19*t[45] - 13*t[46] + 40*t[47] - (43*t[48])/4 + 
       (185*t[49])/8 - (55*t[50])/4 - (101*t[51])/16 + (55*t[52])/4 - 
       (505*t[53])/8 + 39*t[54] + 4*t[55] - (3*t[58])/2 + (3*t[59])/2 + 
       (537*t[60])/4 + (1071*t[61])/4 - (1207*t[62])/8 + (515*t[63])/8 - 
       (815*t[64])/8 - (269*t[65])/4 - (1183*t[66])/12 - t[67]/2 - 9*t[68] - 
       6*t[70] + 6*t[71] - t[74] - (35*t[76])/2 - 11*t[77] + (47*t[78])/2 + 
       64*t[80] - 25*t[81] - (125*t[82])/2 - (21*t[84])/4 - (209*t[85])/4 + 
       42*t[86] - (107*t[87])/4 - (107*t[88])/8 + (207*t[89])/8 - 4*t[92] + 
       4*t[94] - 2*t[97] - 96*t[98] + 132*t[99] - 132*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, u, w]*((-16*t[1])/3 + 
       (80*t[2])/3 + 24*t[3] - (440*t[4])/3 + (356*t[5])/3 + 104*t[6] + 
       (128*t[7])/3 - (8*t[8])/3 - (172*t[9])/3 - 112*t[10] + 220*t[11] - 
       (20*t[12])/3 + (1150*t[13])/27 + (652*t[14])/9 + (590*t[15])/9 + 
       (32*t[31])/3 - (16*t[41])/3 + (16*t[42])/3 + 32*t[43] - 
       (104*t[45])/3 + 16*t[46] + (208*t[47])/3 + (20*t[48])/3 - 
       (112*t[49])/3 - (44*t[50])/3 + (20*t[51])/3 + (44*t[52])/3 + 
       (112*t[53])/3 + 4*t[54] + (64*t[59])/3 + 96*t[60] + (1568*t[61])/3 - 
       96*t[62] + 128*t[63] - (272*t[64])/3 + (256*t[65])/3 - 
       (3200*t[66])/9 + (128*t[74])/3 - (128*t[79])/3 + (320*t[80])/3 + 
       (64*t[81])/3 - (64*t[82])/3 - (128*t[83])/3 + (64*t[84])/3 + 
       (160*t[85])/3 - (256*t[86])/3 - 96*t[87] - 48*t[88] - (176*t[89])/3 - 
       128*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*(34*t[2] - (23*t[3])/2 + 6*t[4] - (25*t[5])/4 + 
       (75*t[6])/4 + 36*t[7] + 25*t[8] + (153*t[9])/4 + (37*t[10])/2 + 
       (133*t[11])/4 + (7*t[12])/4 + (159*t[13])/4 + (643*t[14])/12 + 
       (469*t[15])/24 + 4*t[19] + 2*t[21] - 2*t[23] + 4*t[28] - 4*t[30] - 
       8*t[35] - 8*t[37] + 4*t[39] - 2*t[40] - t[41] + t[42] + t[43]/2 + 
       6*t[45] - 4*t[47] - (17*t[48])/4 + (3*t[49])/2 + (27*t[50])/4 + 
       (13*t[51])/4 - (27*t[52])/4 - (3*t[53])/2 - (7*t[54])/4 + 
       (49*t[60])/2 + (213*t[61])/2 - (309*t[62])/4 - (95*t[63])/4 - 
       (565*t[64])/4 + (55*t[65])/6 - (185*t[66])/2 - 2*t[69] + 6*t[72] - 
       4*t[75] + 2*t[77] - 8*t[79] - 8*t[80] + 2*t[81] - 10*t[82] + 3*t[83] + 
       (21*t[84])/2 - (15*t[85])/2 + 18*t[86] - (19*t[87])/2 - (19*t[88])/4 - 
       (33*t[89])/4 + 16*t[99] - 122*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*(t[1] + 5*t[2] - 
       (25*t[3])/2 + (45*t[4])/2 - (151*t[5])/4 - (31*t[6])/2 + (21*t[7])/2 + 
       (29*t[8])/2 + (119*t[9])/4 + (67*t[10])/4 + 25*t[11] - 3*t[12] + 
       (110*t[13])/9 + (327*t[14])/8 + (145*t[15])/24 + 8*t[28] - 4*t[30] - 
       8*t[31] - 4*t[35] - 4*t[37] + 4*t[39] - 5*t[43] - 4*t[44] + 9*t[45] - 
       18*t[47] + (15*t[48])/2 - (5*t[49])/4 - t[50]/2 + (5*t[51])/8 + 
       t[52]/2 + (5*t[53])/4 + t[54] + (49*t[60])/2 + (213*t[61])/2 - 
       (309*t[62])/4 - (95*t[63])/4 - (565*t[64])/4 + (55*t[65])/6 - 
       (185*t[66])/2 - 2*t[69] + 6*t[72] - 4*t[75] + 2*t[77] - 8*t[79] - 
       8*t[80] + 2*t[81] - 10*t[82] + 3*t[83] + (21*t[84])/2 - (15*t[85])/2 + 
       18*t[86] - (19*t[87])/2 - (19*t[88])/4 - (33*t[89])/4 + 16*t[99] - 
       122*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (8*t[1] - 66*t[2] - 10*t[3] + 4*t[4] + 106*t[5] + 4*t[6] - 5*t[7] - 
       89*t[8] - 93*t[9] - 223*t[10] + 118*t[11] - 42*t[12] + 
       (1303*t[13])/9 + (80*t[14])/3 + (151*t[15])/6 + 8*t[31] + 57*t[43] - 
       44*t[46] - 4*t[48] + 38*t[49] - 4*t[50] + 14*t[51] + 4*t[52] - 
       38*t[53] - 52*t[54] + 35*t[59] + 104*t[60] + 101*t[61] - 107*t[62] - 
       63*t[63] + 277*t[64] - 4*t[65] - (970*t[66])/3 + 4*t[67] + 8*t[69] - 
       40*t[70] + 40*t[71] - 88*t[74] + 128*t[80] + 44*t[81] - 44*t[82] + 
       10*t[84] + 64*t[85] + 228*t[86] - 84*t[87] - 42*t[88] + 22*t[89] - 
       120*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (-62*t[2] - 20*t[3] + 96*t[4] - 206*t[5] + 61*t[6] + 144*t[7] + 
       160*t[8] + 264*t[9] - 158*t[10] + 82*t[11] + 114*t[12] + 
       (370*t[13])/9 + (158*t[14])/3 - 66*t[15] - 24*t[18] - 8*t[19] + 
       40*t[21] - 48*t[23] + 31*t[41] - 31*t[42] - 94*t[45] + 208*t[47] - 
       28*t[48] + 4*t[49] - 28*t[50] - 2*t[51] + 28*t[52] - 4*t[53] + 
       20*t[54] + 35*t[59] + 104*t[60] + 101*t[61] - 107*t[62] - 63*t[63] + 
       277*t[64] - 4*t[65] - (970*t[66])/3 + 4*t[67] + 8*t[69] - 40*t[70] + 
       40*t[71] - 88*t[74] + 128*t[80] + 44*t[81] - 44*t[82] + 10*t[84] + 
       64*t[85] + 228*t[86] - 84*t[87] - 42*t[88] + 22*t[89] - 120*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((35*t[1])/6 - (95*t[2])/2 - (2405*t[3])/24 - (655*t[4])/4 + 
       (2035*t[5])/48 - (2005*t[6])/24 + (1015*t[7])/4 + (315*t[8])/2 + 
       (7975*t[9])/48 + (245*t[10])/8 + (685*t[11])/2 + (9455*t[12])/48 + 
       (22465*t[13])/108 + (18145*t[14])/72 + (10595*t[15])/288 + 
       (70*t[18])/3 + (40*t[20])/3 + (70*t[21])/3 - (10*t[22])/3 - 
       (70*t[23])/3 + (110*t[24])/3 + 10*t[25] - 10*t[26] + (50*t[27])/3 - 
       (10*t[29])/3 + 10*t[30] + (40*t[32])/3 + (250*t[34])/3 - 10*t[36] - 
       (5*t[38])/3 - 20*t[40] + (125*t[41])/6 - (55*t[42])/6 - 
       (295*t[43])/24 + (5*t[44])/3 - (185*t[45])/6 + (5*t[46])/2 + 
       85*t[47] - (455*t[48])/8 + (185*t[49])/24 - (125*t[50])/24 + 
       (85*t[51])/48 - (275*t[52])/24 - (185*t[53])/24 - (125*t[54])/24 - 
       (5*t[58])/3 - 5*t[59] + (940*t[60])/3 + (6265*t[61])/12 - 
       (5355*t[62])/8 - (5*t[63])/8 + (1015*t[64])/8 + (14155*t[65])/36 - 
       (26665*t[66])/36 - (140*t[70])/3 + (140*t[71])/3 + (80*t[72])/3 - 
       20*t[73] - 40*t[74] + 20*t[75] + (320*t[76])/3 + (10*t[77])/3 - 
       (140*t[78])/3 + (835*t[80])/3 + (170*t[81])/3 + (190*t[82])/3 + 
       (80*t[83])/3 - (10*t[84])/3 + (215*t[85])/3 + (1255*t[86])/6 - 
       (665*t[87])/3 - (665*t[88])/6 - (20*t[89])/3 + (40*t[97])/3 + 
       520*t[98] - 540*t[99] - 120*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((185*t[1])/6 - (215*t[2])/6 - 
       (835*t[3])/24 - (85*t[4])/4 - (4735*t[5])/48 - 140*t[6] + 
       (2875*t[7])/8 - (3215*t[8])/24 + (24035*t[9])/48 - (2245*t[10])/12 + 
       (4015*t[11])/12 + (8365*t[12])/48 + (60355*t[13])/432 + 
       (4025*t[14])/24 - (25645*t[15])/288 + (70*t[18])/3 - (40*t[20])/3 + 
       (70*t[21])/3 - (170*t[22])/3 - (70*t[23])/3 + (70*t[24])/3 - 
       (50*t[25])/3 + (10*t[26])/3 - 10*t[27] + (10*t[29])/3 - 10*t[30] - 
       (10*t[31])/3 - (40*t[32])/3 + (250*t[34])/3 - 10*t[36] - (5*t[38])/3 + 
       (20*t[40])/3 - (25*t[41])/6 + (95*t[42])/6 - (275*t[43])/12 + 
       (5*t[44])/3 - (1025*t[45])/12 - (35*t[46])/6 + (375*t[47])/2 - 
       (1135*t[48])/24 + (85*t[49])/8 + (195*t[50])/8 + (635*t[51])/48 - 
       (1625*t[52])/24 - (85*t[53])/8 - (655*t[54])/24 + (35*t[58])/3 - 
       5*t[59] + (940*t[60])/3 + (6265*t[61])/12 - (5355*t[62])/8 - 
       (5*t[63])/8 + (1015*t[64])/8 + (14155*t[65])/36 - (26665*t[66])/36 - 
       (140*t[70])/3 + (140*t[71])/3 + (80*t[72])/3 - 20*t[73] - 40*t[74] + 
       20*t[75] + (320*t[76])/3 + (10*t[77])/3 - (140*t[78])/3 + 
       (835*t[80])/3 + (170*t[81])/3 + (190*t[82])/3 + (80*t[83])/3 - 
       (10*t[84])/3 + (215*t[85])/3 + (1255*t[86])/6 - (665*t[87])/3 - 
       (665*t[88])/6 - (20*t[89])/3 + (40*t[97])/3 + 520*t[98] - 540*t[99] - 
       120*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((10*t[1])/3 + (47*t[2])/2 - (893*t[3])/24 - 
       (121*t[4])/4 - (365*t[5])/48 + (455*t[6])/24 + (159*t[7])/2 + 
       (237*t[8])/4 + (4075*t[9])/48 - (655*t[10])/8 + (277*t[11])/4 + 
       (1739*t[12])/48 + (11537*t[13])/216 + (1189*t[14])/18 + 
       (893*t[15])/96 + (10*t[18])/3 + (4*t[20])/3 + (10*t[21])/3 + 
       (8*t[22])/3 - (10*t[23])/3 + (14*t[24])/3 + 4*t[25] - 4*t[26] - 
       (10*t[27])/3 - 2*t[28] - (22*t[29])/3 + 2*t[31] + (10*t[32])/3 - 
       4*t[33] + (31*t[34])/3 + 6*t[36] - 2*t[37] + t[38]/3 + 4*t[39] - 
       6*t[40] - (2*t[41])/3 + (4*t[42])/3 + (83*t[43])/24 - t[44]/3 - 
       (131*t[45])/6 + (11*t[46])/2 + 43*t[47] + (19*t[48])/8 - 
       (313*t[49])/24 + (169*t[50])/24 + (163*t[51])/48 - (113*t[52])/24 + 
       (313*t[53])/24 + (241*t[54])/24 + (7*t[58])/3 - (5*t[59])/2 + 
       (305*t[60])/6 + (1711*t[61])/12 - (489*t[62])/8 - (287*t[63])/8 + 
       (271*t[64])/8 + (2737*t[65])/36 - (5725*t[66])/36 - (8*t[70])/3 + 
       (8*t[71])/3 - (4*t[72])/3 - 6*t[73] + 2*t[74] + 4*t[75] + 
       (29*t[76])/3 - (14*t[77])/3 + t[78]/3 + (139*t[80])/3 + (5*t[81])/3 + 
       (10*t[82])/3 + (26*t[83])/3 + (85*t[84])/6 - (34*t[85])/3 + 
       (121*t[86])/6 + t[87]/3 + t[88]/6 + (331*t[89])/12 + t[97]/3 + 
       40*t[98] - 4*t[99] - 118*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-47*t[1])/6 + (53*t[2])/6 - (121*t[3])/12 + 
       20*t[4] - (169*t[5])/24 + (65*t[6])/4 + 12*t[7] - (85*t[8])/6 + 
       (743*t[9])/24 - (8*t[10])/3 + (29*t[11])/3 + (229*t[12])/24 + 
       (637*t[13])/54 + (605*t[14])/24 - (641*t[15])/144 - (4*t[18])/3 + 
       (4*t[20])/3 - (4*t[21])/3 - (10*t[22])/3 + (4*t[23])/3 + (2*t[24])/3 + 
       (2*t[25])/3 - (4*t[26])/3 - 2*t[27] + 2*t[28] + (2*t[29])/3 + 
       2*t[30] - (2*t[31])/3 - (2*t[32])/3 + 2*t[33] + (29*t[34])/3 - 
       (10*t[38])/3 - 2*t[39] - (2*t[40])/3 + (7*t[41])/6 - (11*t[42])/6 - 
       (25*t[43])/12 - (8*t[44])/3 - (31*t[45])/3 - (11*t[46])/3 + 8*t[47] - 
       (43*t[48])/12 + (29*t[49])/2 + (15*t[50])/4 - (17*t[51])/3 + 
       (7*t[52])/12 - (29*t[53])/2 - t[54]/12 - (2*t[58])/3 + (5*t[59])/2 + 
       (80*t[60])/3 + (283*t[61])/6 - (13*t[62])/4 + (337*t[63])/4 - 
       (277*t[64])/4 - (707*t[65])/18 - (163*t[66])/18 + 2*t[69] + 
       (14*t[70])/3 - (14*t[71])/3 + (4*t[72])/3 + (31*t[76])/3 - t[77]/3 - 
       (16*t[78])/3 - (4*t[80])/3 + (19*t[81])/3 + (5*t[82])/3 + 
       (4*t[83])/3 + (7*t[84])/3 + (40*t[85])/3 - (47*t[86])/3 - 
       (115*t[87])/3 - (115*t[88])/6 - (197*t[89])/6 + (5*t[97])/3 + 
       80*t[98] - 72*t[99] - 114*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((131*t[1])/36 + 
       (173*t[2])/24 - (1123*t[3])/48 + (755*t[4])/16 - (99*t[5])/4 + 
       (6799*t[6])/96 - (377*t[7])/32 + (2497*t[8])/96 + (115*t[9])/2 - 
       (5191*t[10])/96 + (2307*t[11])/32 - (33*t[12])/4 + (10031*t[13])/288 + 
       (9133*t[14])/288 - (1879*t[15])/192 + (5*t[17])/12 - (2*t[18])/3 - 
       t[19]/9 - 2*t[21] + (5*t[22])/3 - t[23] - (14*t[24])/3 + (4*t[25])/3 - 
       (7*t[26])/6 + (2*t[27])/3 - 2*t[28] + t[30] - (23*t[31])/12 + 
       (5*t[32])/3 - (5*t[33])/3 + (5*t[34])/6 + 10*t[35] - (7*t[37])/3 - 
       (4*t[38])/3 + (2*t[39])/3 - 5*t[40] + (19*t[41])/4 - (31*t[42])/12 - 
       (111*t[43])/32 - (20*t[44])/3 - (171*t[45])/8 - (14*t[46])/3 + 
       (403*t[47])/12 - (7*t[48])/96 - (7*t[49])/8 + (147*t[50])/32 + 
       (41*t[51])/48 + (125*t[52])/32 + (7*t[53])/8 - (43*t[54])/32 + 
       (5*t[58])/6 + (187*t[59])/36 + (2417*t[60])/48 + (935*t[61])/8 + 
       (93*t[62])/4 + (1175*t[63])/24 + (487*t[64])/12 - (541*t[65])/9 - 
       (2273*t[66])/36 + (2*t[67])/3 + (7*t[69])/2 + t[70] - t[71] - 
       (3*t[72])/2 + (91*t[74])/6 - t[75] + (4*t[76])/3 - (5*t[77])/6 + 
       t[78]/2 - (121*t[79])/12 + (179*t[80])/12 + (55*t[81])/8 - 
       (63*t[82])/8 - (47*t[83])/12 + (205*t[84])/24 + (157*t[85])/48 - 
       (845*t[86])/24 - (865*t[87])/48 - (865*t[88])/96 - (1423*t[89])/96 - 
       (7*t[94])/6 + (5*t[97])/6 + 8*t[98] + 4*t[99] - (225*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      ((9*t[1])/4 + (15*t[2])/8 + 2*t[3] - (271*t[4])/4 - (473*t[5])/16 - 
       (35*t[6])/16 + (37*t[7])/4 + (45*t[8])/8 + (197*t[9])/16 - 
       (233*t[10])/8 - (425*t[11])/16 + (339*t[12])/16 - (3253*t[13])/72 - 
       (5*t[14])/3 + (1319*t[15])/96 - (3*t[16])/4 - 9*t[25] + 4*t[26] - 
       2*t[27] + 16*t[30] + t[36]/2 + t[37]/2 + 3*t[38] - (13*t[39])/4 + 
       (15*t[40])/2 + 4*t[43] - 10*t[44] + (7*t[45])/2 - t[46] - 7*t[47] + 
       (59*t[48])/16 - (21*t[49])/2 + (139*t[50])/16 + (15*t[51])/4 - 
       (75*t[52])/16 + 15*t[53] + (505*t[54])/16 + (3*t[59])/2 - 
       (41*t[60])/2 + (459*t[61])/8 + (577*t[62])/16 + (2811*t[63])/16 + 
       (269*t[64])/16 - (485*t[65])/12 + (2057*t[66])/24 + (7*t[68])/4 - 
       4*t[70] + 4*t[71] + 3*t[72] - 2*t[74] - (109*t[76])/4 - 17*t[77] + 
       58*t[78] - (21*t[80])/2 + (11*t[81])/2 + (5*t[82])/2 - 15*t[84] - 
       (269*t[85])/8 + 3*t[86] + (189*t[87])/8 - (203*t[88])/16 - 
       (795*t[89])/16 + (3*t[90])/4 + 4*t[95] - (9*t[96])/2 - 2*t[97] - 
       120*t[98] + 192*t[99] - 111*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*(-t[1] - (53*t[2])/4 + (119*t[3])/4 + 
       (67*t[4])/8 - (37*t[5])/16 + (25*t[6])/8 - (5*t[7])/8 - (195*t[8])/4 - 
       (561*t[9])/16 + (185*t[10])/16 - 10*t[11] + (27*t[12])/4 - 
       (569*t[13])/72 - (191*t[14])/32 - (95*t[15])/288 - t[17]/2 - 3*t[19] + 
       3*t[20] + 3*t[21] - (5*t[23])/2 + 2*t[24] - (13*t[27])/2 - 7*t[29] + 
       (29*t[30])/2 - (43*t[32])/2 + (17*t[33])/2 + 14*t[34] + t[37] - 
       15*t[39] + (21*t[40])/2 - (5*t[41])/2 + (7*t[42])/4 - (7*t[43])/4 + 
       (43*t[44])/2 - (55*t[45])/4 - (7*t[46])/4 + (55*t[47])/4 - 
       (13*t[48])/4 + (187*t[49])/16 + (53*t[50])/4 - (17*t[51])/32 - 
       (33*t[52])/4 - (187*t[53])/16 + (113*t[54])/8 + (7*t[55])/4 + 
       (3*t[59])/2 - (41*t[60])/2 + (459*t[61])/8 + (577*t[62])/16 + 
       (2811*t[63])/16 + (269*t[64])/16 - (485*t[65])/12 + (2057*t[66])/24 + 
       (7*t[68])/4 - 4*t[70] + 4*t[71] + 3*t[72] - 2*t[74] - (109*t[76])/4 - 
       17*t[77] + 58*t[78] - (21*t[80])/2 + (11*t[81])/2 + (5*t[82])/2 - 
       15*t[84] - (269*t[85])/8 + 3*t[86] + (189*t[87])/8 - (203*t[88])/16 - 
       (795*t[89])/16 + (3*t[90])/4 + 4*t[95] - (9*t[96])/2 - 2*t[97] - 
       120*t[98] + 192*t[99] - 111*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Qep[u, w, v]*((-40*t[1])/3 + (200*t[2])/9 - (164*t[3])/9 - 68*t[4] + 
       62*t[5] + (430*t[6])/3 - (364*t[7])/9 - 28*t[8] - (190*t[9])/9 + 
       (308*t[10])/9 + (908*t[11])/9 - (22*t[12])/3 - (181*t[13])/9 + 
       (2738*t[14])/27 + (541*t[15])/9 + 32*t[31] + (88*t[41])/9 - 
       (88*t[42])/9 + (332*t[43])/9 - (376*t[45])/9 + (128*t[46])/9 + 
       (368*t[47])/9 - 4*t[48] - (232*t[49])/9 - (292*t[50])/9 + 
       (20*t[51])/9 + (292*t[52])/9 + (232*t[53])/9 + (308*t[54])/9 + 
       (64*t[59])/3 + (920*t[60])/9 + 344*t[61] + (1616*t[62])/9 + 
       (536*t[63])/9 - 260*t[64] + (392*t[65])/27 - (1304*t[66])/9 + 
       (608*t[74])/9 - 32*t[79] + (608*t[80])/9 + (176*t[81])/9 - 
       (176*t[82])/9 - (320*t[83])/9 + (160*t[84])/9 + (584*t[85])/9 - 
       (2368*t[86])/9 - (904*t[87])/9 - (452*t[88])/9 - (172*t[89])/3 - 
       (320*t[100])/3) + HPL[{0, 0, 1}, 1 - w]*Omega2[v, w, u]*
      ((-7*t[1])/4 - (9*t[2])/2 - (123*t[3])/8 - 8*t[4] - (89*t[5])/16 - 
       (25*t[6])/8 + 18*t[7] + (149*t[8])/4 + (323*t[9])/16 + t[10] + 
       (61*t[11])/2 + (261*t[12])/16 + (1567*t[13])/72 + (1439*t[14])/48 + 
       (257*t[15])/32 + 2*t[18] + t[19] + t[20] + 3*t[21] - 3*t[23] + 
       2*t[24] + 4*t[25] - 3*t[26] - 2*t[29] - t[30] - t[31] + (5*t[34])/2 - 
       2*t[37] - t[38]/2 + t[39] + (3*t[40])/2 + (7*t[41])/4 - (3*t[42])/4 - 
       (9*t[43])/8 + t[45]/2 + (3*t[46])/2 + 5*t[47] - t[48]/8 - 
       (21*t[49])/4 - (21*t[50])/8 + (11*t[51])/4 - (23*t[52])/8 + 
       (21*t[53])/4 + (29*t[54])/8 - (5*t[59])/2 + (117*t[60])/4 + 63*t[61] - 
       40*t[62] - (33*t[63])/2 + (35*t[64])/2 + (74*t[65])/3 - 
       (178*t[66])/3 - 4*t[70] + 4*t[71] + 6*t[72] - 2*t[74] + 3*t[76] - 
       8*t[77] + 19*t[80] + 2*t[81] + 4*t[82] + 3*t[83] + (21*t[84])/4 - 
       (39*t[85])/4 + (53*t[86])/2 - (35*t[87])/4 - (39*t[88])/8 - 
       (21*t[89])/8 + t[97] + 12*t[98] - 102*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u]*((13*t[1])/4 + t[2]/2 - 
       (53*t[3])/8 + (43*t[4])/4 - (91*t[5])/16 + (45*t[6])/8 + 
       (149*t[7])/8 + (105*t[8])/8 + (279*t[9])/16 - (83*t[10])/2 + 
       (223*t[11])/8 + (25*t[12])/16 + (307*t[13])/16 + (139*t[14])/8 + 
       (119*t[15])/96 + 2*t[18] + t[19] + 2*t[20] + 4*t[21] - 8*t[22] - 
       4*t[23] + 2*t[24] - 4*t[27] + t[29] - t[30] - 2*t[31] - t[32] + 
       2*t[33] + (11*t[34])/2 - 2*t[37] - t[38]/2 - t[39] + t[40]/2 - 
       (3*t[41])/4 + (9*t[42])/4 - (7*t[43])/4 - 3*t[44] - (27*t[45])/4 - 
       t[46]/2 + (13*t[47])/2 + (25*t[48])/4 + (17*t[49])/8 + (5*t[50])/4 + 
       (5*t[51])/16 - (3*t[52])/4 - (17*t[53])/8 + 5*t[54] + t[58] - 
       (5*t[59])/2 + (117*t[60])/4 + 63*t[61] - 40*t[62] - (33*t[63])/2 + 
       (35*t[64])/2 + (74*t[65])/3 - (178*t[66])/3 - 4*t[70] + 4*t[71] + 
       6*t[72] - 2*t[74] + 3*t[76] - 8*t[77] + 19*t[80] + 2*t[81] + 4*t[82] + 
       3*t[83] + (21*t[84])/4 - (39*t[85])/4 + (53*t[86])/2 - (35*t[87])/4 - 
       (39*t[88])/8 - (21*t[89])/8 + t[97] + 12*t[98] - 102*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-115*t[1])/8 - (133*t[2])/36 - (4985*t[3])/144 - (535*t[4])/16 - 
       (5507*t[5])/96 - (1333*t[6])/96 + (4865*t[7])/144 + (4253*t[8])/48 + 
       (29377*t[9])/288 + (4297*t[10])/72 + (10397*t[11])/144 + 
       (2393*t[12])/32 + (110533*t[13])/1728 + (6953*t[14])/108 - 
       (9083*t[15])/576 + (5*t[17])/4 - (5*t[18])/3 + (10*t[19])/3 + 
       (2*t[20])/3 + (4*t[21])/3 - (8*t[22])/3 - (7*t[23])/3 + (10*t[24])/3 + 
       (4*t[25])/3 - (2*t[26])/3 - 2*t[27] + 2*t[28] - (2*t[29])/3 - 
       2*t[30] - (29*t[31])/6 + (2*t[32])/3 - (5*t[34])/3 - 2*t[35] - 
       5*t[37] + t[38]/3 + 2*t[39] - (7*t[40])/3 + (959*t[41])/72 - 
       (911*t[42])/72 - (997*t[43])/144 - (10*t[44])/3 + (511*t[45])/72 - 
       (277*t[46])/36 + (461*t[47])/36 + (85*t[48])/48 - (637*t[49])/144 + 
       (239*t[50])/144 + (2815*t[51])/288 - (575*t[52])/144 + 
       (637*t[53])/144 + (2003*t[54])/144 + (2*t[58])/3 + (41*t[59])/6 + 
       (997*t[60])/72 + (5045*t[61])/24 - (15185*t[62])/72 - 
       (2413*t[63])/36 + (1979*t[64])/16 + (17077*t[65])/216 - 
       (5947*t[66])/24 - t[67] + 2*t[69] + (4*t[70])/3 - (4*t[71])/3 + 
       (11*t[72])/3 + 2*t[73] - (95*t[74])/18 - 2*t[75] - (13*t[76])/3 + 
       (22*t[77])/3 + (19*t[78])/3 + (69*t[79])/2 + (185*t[80])/9 + 
       (239*t[81])/36 - (383*t[82])/36 - (86*t[83])/9 + (203*t[84])/18 - 
       (1451*t[85])/72 + (1651*t[86])/18 + (67*t[87])/72 + (67*t[88])/144 - 
       (31*t[89])/16 + t[94]/2 - (2*t[97])/3 - 32*t[98] + 48*t[99] - 
       (607*t[100])/6) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((5*t[1])/2 - (503*t[2])/144 - (305*t[3])/144 - 
       (5537*t[4])/144 + (376*t[5])/9 - (791*t[6])/144 + (317*t[7])/12 - 
       (8555*t[8])/144 - (3649*t[9])/96 - (12719*t[10])/288 + 
       (1817*t[11])/36 - (243*t[12])/32 - (23809*t[13])/648 + 
       (16967*t[14])/576 + (25129*t[15])/864 + t[17]/4 - (11*t[18])/9 - 
       2*t[19] - (3*t[21])/2 + (4*t[22])/3 + (55*t[23])/18 - (25*t[24])/9 - 
       (2*t[25])/3 - (11*t[26])/6 - (4*t[27])/3 - t[28] + t[30] + 
       (20*t[31])/9 - (4*t[32])/3 + (4*t[33])/3 + (16*t[34])/3 - 6*t[35] + 
       5*t[37] + 3*t[38] - (7*t[39])/3 + (13*t[40])/3 + (467*t[41])/72 - 
       (109*t[42])/18 + (331*t[43])/24 + (19*t[44])/3 + (817*t[45])/144 + 
       (29*t[46])/4 - (1819*t[47])/72 + (313*t[48])/144 - (895*t[49])/288 - 
       (859*t[50])/144 - (365*t[51])/576 - (773*t[52])/144 + 
       (895*t[53])/288 + (57*t[54])/8 - (5*t[58])/6 + (217*t[59])/18 + 
       (7213*t[60])/144 + (6857*t[61])/72 - (17*t[62])/72 + (161*t[63])/4 + 
       (2257*t[64])/72 - (4991*t[65])/108 - (1367*t[66])/54 + (2*t[67])/3 + 
       (7*t[69])/2 + t[70] - t[71] - (3*t[72])/2 + 12*t[74] - t[75] + 
       (4*t[76])/3 - (5*t[77])/6 + t[78]/2 - (121*t[79])/12 + 
       (179*t[80])/12 + (127*t[81])/24 - (151*t[82])/24 + (11*t[83])/36 + 
       (205*t[84])/24 - (109*t[85])/48 - (977*t[86])/72 - (2405*t[87])/144 - 
       (2405*t[88])/288 - (1841*t[89])/96 - (7*t[94])/6 + (5*t[97])/6 + 
       8*t[98] + 4*t[99] - (599*t[100])/6) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((67*t[1])/36 - 
       (1165*t[2])/36 + (859*t[3])/144 + (325*t[4])/8 - (6191*t[5])/288 - 
       (551*t[6])/48 + (431*t[7])/16 - (9487*t[8])/144 + (34723*t[9])/288 - 
       (10987*t[10])/144 + (91*t[11])/36 + (5303*t[12])/288 + 
       (55153*t[13])/1296 - (3661*t[14])/96 - (85189*t[15])/1728 - 
       (5*t[16])/4 + t[17]/2 + (13*t[18])/9 + 2*t[19] + (20*t[20])/9 + 
       (22*t[21])/9 - (140*t[22])/9 - (22*t[23])/9 + (130*t[24])/9 - 
       (241*t[25])/18 - (50*t[26])/9 - (19*t[27])/2 - (59*t[29])/9 - 
       (2*t[30])/3 + (77*t[31])/9 - (79*t[32])/9 + 17*t[33] + (115*t[34])/9 - 
       4*t[35] + (14*t[36])/3 - 4*t[37] + (49*t[38])/36 - 17*t[39] + 
       (305*t[40])/36 - (197*t[41])/36 + (223*t[42])/36 - (541*t[43])/72 + 
       (77*t[44])/36 - (149*t[45])/36 - (221*t[46])/18 + (133*t[47])/4 - 
       (617*t[48])/144 + (17*t[49])/6 + (257*t[50])/48 + (3095*t[51])/144 - 
       (2635*t[52])/144 - (23*t[53])/6 - (1187*t[54])/144 - t[56]/2 + 
       (23*t[58])/9 + (77*t[59])/24 + (817*t[60])/9 + (6785*t[61])/72 - 
       (383*t[62])/24 - (199*t[63])/24 - (397*t[64])/3 + (6355*t[65])/108 - 
       (8539*t[66])/108 - t[68] + (16*t[69])/3 + (49*t[70])/9 - 
       (49*t[71])/9 + (50*t[72])/9 - (9*t[73])/2 - (67*t[74])/2 + 
       (33*t[75])/2 + (635*t[76])/36 + (167*t[77])/18 - (17*t[78])/9 - 
       8*t[79] + (485*t[80])/18 + (215*t[81])/9 - (23*t[82])/9 - 
       (551*t[83])/18 + (811*t[84])/72 + (389*t[85])/9 - (337*t[86])/9 - 
       (734*t[87])/9 - (367*t[88])/9 + (581*t[89])/72 + t[90]/2 - t[92]/2 + 
       (73*t[97])/36 + (442*t[98])/3 - 164*t[99] - 99*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-89*t[1])/24 + (4*t[2])/3 - (5471*t[3])/192 - (1021*t[4])/48 - 
       (1139*t[5])/384 + (569*t[6])/576 + (4421*t[7])/192 + (9557*t[8])/192 + 
       (4305*t[9])/128 + (595*t[10])/64 + (7679*t[11])/192 + 
       (4307*t[12])/384 + (43057*t[13])/1152 + (71099*t[14])/1152 + 
       (191177*t[15])/6912 + (107*t[18])/36 - 2*t[19] - (5*t[20])/6 + 
       (2*t[21])/3 + (3*t[22])/2 - t[23]/6 + (13*t[24])/3 + (23*t[25])/6 - 
       (31*t[26])/12 - (5*t[27])/6 + (3*t[28])/2 - t[29]/4 + (7*t[30])/12 + 
       (5*t[31])/3 - t[32] + t[33]/6 + (29*t[34])/3 - (3*t[36])/4 - t[37] - 
       (13*t[38])/6 + (5*t[39])/6 - t[40]/2 - (79*t[41])/24 + 
       (401*t[42])/72 + (257*t[43])/96 - (8*t[44])/3 + (37*t[45])/96 + 
       (31*t[46])/12 + (29*t[47])/16 - (187*t[48])/16 + (9*t[49])/2 - 
       (37*t[50])/48 - (95*t[51])/48 - (163*t[52])/48 - (9*t[53])/2 - 
       (143*t[54])/48 + t[58]/12 - (55*t[59])/9 + (203*t[60])/4 + 
       (5611*t[61])/96 - (11743*t[62])/192 - (1275*t[63])/64 - 
       (8029*t[64])/192 + (6211*t[65])/288 - (41789*t[66])/288 + 
       (5*t[69])/3 - (14*t[70])/3 + (14*t[71])/3 + 4*t[72] + 2*t[73] - 
       (10*t[74])/3 - 5*t[75] + (23*t[76])/2 - (137*t[77])/12 - 
       (13*t[78])/4 - (11*t[79])/3 + (805*t[80])/24 + (21*t[81])/2 - 
       (35*t[82])/12 + (119*t[83])/6 + (9*t[84])/4 + (247*t[85])/24 + 
       (847*t[86])/16 - (895*t[87])/24 - (931*t[88])/48 - (287*t[89])/24 + 
       (3*t[97])/2 + 67*t[98] - 47*t[99] - (393*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-5*t[1])/9 + (203*t[2])/36 + (2207*t[3])/576 + (8345*t[4])/144 - 
       (50657*t[5])/1152 - (439*t[6])/18 + (3857*t[7])/96 - (1211*t[8])/24 + 
       (94919*t[9])/1152 - (20789*t[10])/288 + (27929*t[11])/576 + 
       (14645*t[12])/1152 + (23191*t[13])/576 + (33979*t[14])/3456 - 
       (7135*t[15])/256 + (19*t[18])/9 + t[19]/2 + (25*t[20])/18 + 
       (46*t[21])/9 - (110*t[22])/9 - (46*t[23])/9 + (16*t[24])/9 + 
       (7*t[25])/9 - (17*t[26])/9 - 4*t[27] + t[28] + (19*t[29])/36 - 
       (17*t[30])/12 - (10*t[31])/9 - (19*t[32])/9 + 2*t[33] + 
       (209*t[34])/18 + 2*t[35] + (5*t[36])/12 - (29*t[38])/36 - t[39] + 
       (19*t[40])/18 - (29*t[41])/36 + (28*t[42])/9 - (1633*t[43])/192 - 
       (43*t[44])/36 - (373*t[45])/18 - (305*t[46])/72 + (110*t[47])/3 - 
       (2749*t[48])/288 + (4039*t[49])/288 + (2467*t[50])/288 - 
       (161*t[51])/576 - (315*t[52])/32 - (4039*t[53])/288 - (385*t[54])/32 + 
       (29*t[58])/36 - (17*t[59])/9 + (1267*t[60])/24 + (1731*t[61])/32 - 
       (46439*t[62])/576 - (3635*t[63])/192 - (29573*t[64])/576 + 
       (8261*t[65])/288 - (37139*t[66])/288 + (5*t[69])/3 - (41*t[70])/9 + 
       (41*t[71])/9 + (38*t[72])/9 + (5*t[73])/3 - (11*t[74])/2 - 
       (14*t[75])/3 + (217*t[76])/18 - (401*t[77])/36 - (125*t[78])/36 - 
       (11*t[79])/3 + (2453*t[80])/72 + (365*t[81])/36 - (17*t[82])/9 + 
       (45*t[83])/2 + (83*t[84])/36 + (287*t[85])/36 + (3139*t[86])/48 - 
       (157*t[87])/4 - (163*t[88])/8 - (2435*t[89])/144 + (29*t[97])/18 + 
       (211*t[98])/3 - 50*t[99] - (1163*t[100])/12) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-35*t[1])/2 - (15*t[2])/2 - (103*t[3])/4 - 96*t[4] + (333*t[5])/8 - 
       3*t[6] + (77*t[7])/2 + 71*t[8] + (253*t[9])/8 + (3*t[10])/2 + 
       (247*t[11])/4 + (799*t[12])/8 + (389*t[13])/6 + (1331*t[14])/24 + 
       (773*t[15])/48 + 4*t[18] + 2*t[19] + 2*t[20] + 6*t[21] - 6*t[23] + 
       4*t[24] + 4*t[25] - 4*t[26] - 4*t[29] + 5*t[34] - 2*t[37] - 7*t[38] + 
       6*t[40] + (7*t[41])/2 - (3*t[42])/2 + (3*t[43])/4 - 2*t[44] - 
       6*t[45] + t[46] + 24*t[47] - 2*t[48] - (9*t[49])/2 - 5*t[50] + 
       (7*t[51])/2 - 4*t[52] + (41*t[53])/2 + 6*t[54] + (23*t[59])/2 + 
       (7*t[60])/2 + 117*t[61] - (249*t[62])/2 - (129*t[63])/2 + 
       (153*t[64])/2 + 144*t[65] - (511*t[66])/3 - 8*t[70] + 8*t[71] + 
       4*t[72] - 4*t[74] + 10*t[76] + 4*t[77] - t[78] + 56*t[80] + 7*t[81] + 
       3*t[82] + 6*t[83] + (33*t[84])/2 - (7*t[85])/2 + 47*t[86] - 
       (7*t[87])/2 - (7*t[88])/4 + (79*t[89])/4 + t[97] + 48*t[98] - 
       24*t[99] - 96*t[100]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (6*t[1] - (85*t[2])/2 + (127*t[3])/4 + t[4]/2 - (121*t[5])/8 - 
       (17*t[6])/2 + (149*t[7])/4 + (157*t[8])/4 + (613*t[9])/8 - 60*t[10] + 
       80*t[11] + (171*t[12])/8 + (1379*t[13])/24 - (3*t[14])/4 + 
       (313*t[15])/48 + 4*t[18] + 4*t[21] - 12*t[22] - 12*t[23] + 4*t[24] - 
       4*t[27] - 4*t[31] - 2*t[32] + 2*t[33] + 12*t[34] - 2*t[37] - t[38] - 
       2*t[39] - 9*t[40] + 5*t[41] - 3*t[42] - (29*t[45])/2 - t[46] + 
       20*t[47] + (13*t[48])/4 - (27*t[49])/4 + (29*t[50])/4 + (45*t[51])/8 + 
       (27*t[52])/4 + (27*t[53])/4 + (9*t[54])/4 + 2*t[58] + (23*t[59])/2 + 
       (7*t[60])/2 + 117*t[61] - (249*t[62])/2 - (129*t[63])/2 + 
       (153*t[64])/2 + 144*t[65] - (511*t[66])/3 - 8*t[70] + 8*t[71] + 
       4*t[72] - 4*t[74] + 10*t[76] + 4*t[77] - t[78] + 56*t[80] + 7*t[81] + 
       3*t[82] + 6*t[83] + (33*t[84])/2 - (7*t[85])/2 + 47*t[86] - 
       (7*t[87])/2 - (7*t[88])/4 + (79*t[89])/4 + t[97] + 48*t[98] - 
       24*t[99] - 96*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Omega2[v, w, u]*((-7*t[1])/3 + (163*t[2])/12 - (71*t[3])/6 + 
       (5*t[4])/4 - (283*t[5])/24 + (171*t[6])/8 + (313*t[7])/8 + 
       (713*t[8])/24 + (403*t[9])/12 - (227*t[10])/12 + (235*t[11])/6 + 
       (161*t[12])/12 + (10895*t[13])/432 + (1733*t[14])/48 + 
       (289*t[15])/36 + (2*t[18])/3 + t[19] + (4*t[20])/3 + (5*t[21])/3 - 
       (10*t[22])/3 - (5*t[23])/3 + (8*t[24])/3 + (8*t[25])/3 - (4*t[26])/3 - 
       2*t[27] + t[28] - (4*t[29])/3 + t[30] + (4*t[31])/3 + (4*t[32])/3 + 
       (8*t[34])/3 - 4*t[35] - 3*t[37] - (4*t[38])/3 + t[39] - (11*t[40])/3 + 
       (13*t[41])/6 - (11*t[42])/6 - (23*t[43])/24 + t[44]/3 - 
       (19*t[45])/12 - (7*t[46])/6 + t[47]/2 + (5*t[48])/12 + (9*t[49])/8 + 
       (33*t[50])/4 - (5*t[51])/48 - (59*t[52])/12 - (9*t[53])/8 + 
       (25*t[54])/6 + t[58]/3 + (3*t[59])/2 + (83*t[60])/3 + (362*t[61])/3 - 
       46*t[62] + 7*t[63] - 22*t[64] + (98*t[65])/9 - (755*t[66])/9 + 
       (2*t[70])/3 - (2*t[71])/3 + (4*t[72])/3 - (8*t[76])/3 - (4*t[77])/3 + 
       (17*t[78])/3 - 4*t[79] + (20*t[80])/3 + (7*t[81])/3 - (19*t[82])/3 - 
       (5*t[83])/3 + (31*t[84])/3 - (23*t[85])/3 + (16*t[86])/3 - 
       (25*t[87])/3 - (25*t[88])/6 - (4*t[89])/3 - t[97]/3 - 16*t[98] + 
       36*t[99] - 96*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*
      ((-147*t[1])/4 - (153*t[2])/8 + 105*t[3] - (963*t[4])/8 - 
       (1369*t[5])/8 - 102*t[6] - (4649*t[7])/16 - (3231*t[8])/16 - 
       (2289*t[9])/16 - (333*t[10])/4 - (4835*t[11])/16 + (1827*t[12])/16 - 
       (22615*t[13])/96 - (5099*t[14])/32 + (327*t[15])/32 - 27*t[18] - 
       (3*t[19])/2 - 30*t[20] - 12*t[21] - 12*t[22] - 12*t[25] + 12*t[26] + 
       24*t[27] + 42*t[28] + 2*t[29] - 18*t[30] + 6*t[31] - 33*t[32] + 
       21*t[33] - (69*t[34])/2 - 30*t[35] - 12*t[36] + (3*t[37])/2 - 
       (3*t[38])/2 + 15*t[39] + (159*t[40])/4 + (147*t[41])/4 - 
       (177*t[42])/4 - (57*t[43])/16 - 12*t[44] + (693*t[45])/8 + 
       (141*t[46])/4 - (525*t[47])/2 - (27*t[48])/16 - (1031*t[49])/16 - 
       (675*t[50])/16 + (119*t[51])/32 + (267*t[52])/16 + (1031*t[53])/16 + 
       (2409*t[54])/16 - 6*t[58] + (501*t[59])/8 - (3165*t[60])/8 - 
       (1493*t[61])/8 + (4129*t[62])/8 + (1879*t[63])/8 - (4607*t[64])/16 - 
       (217*t[65])/12 + (14285*t[66])/24 + 30*t[69] + 15*t[70] - 15*t[71] + 
       66*t[72] - 24*t[73] + 29*t[74] - 2*t[75] - 64*t[76] + 48*t[77] + 
       (75*t[78])/4 + 30*t[79] - 243*t[80] - (129*t[81])/2 + (229*t[82])/4 - 
       4*t[83] + (95*t[84])/4 - (327*t[85])/4 - 498*t[86] + (273*t[87])/2 + 
       (273*t[88])/4 - (773*t[89])/16 - (9*t[97])/4 - 378*t[98] + 306*t[99] - 
       96*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*
      ((-171*t[1])/8 - (57*t[2])/8 - (211*t[3])/8 - (21*t[4])/2 + 
       (2989*t[5])/16 + (945*t[6])/8 - (2605*t[7])/16 + (1653*t[8])/16 - 
       (607*t[9])/2 + (6123*t[10])/16 - (311*t[11])/16 + (209*t[12])/16 - 
       (2095*t[13])/32 - (463*t[14])/3 + (3739*t[15])/48 - 3*t[16] - 
       (45*t[18])/2 - 18*t[19] - 15*t[21] + 24*t[22] + (45*t[23])/2 - 
       45*t[24] + 10*t[25] + (41*t[26])/4 - 12*t[27] + 24*t[28] + 
       (27*t[29])/2 - (85*t[30])/4 - 24*t[31] + (9*t[32])/2 - (9*t[33])/2 - 
       (57*t[34])/4 + 16*t[36] - 24*t[38] + (39*t[39])/2 - 6*t[40] - 
       (123*t[41])/8 + (75*t[42])/8 + (777*t[43])/16 - (159*t[44])/4 + 
       (393*t[45])/8 - (31*t[46])/4 - (597*t[47])/4 + (1267*t[48])/16 + 
       (75*t[49])/8 + (771*t[50])/16 + (33*t[51])/4 - (399*t[52])/16 - 
       (75*t[53])/8 - (1011*t[54])/16 - (15*t[58])/4 + (501*t[59])/8 - 
       (3165*t[60])/8 - (1493*t[61])/8 + (4129*t[62])/8 + (1879*t[63])/8 - 
       (4607*t[64])/16 - (217*t[65])/12 + (14285*t[66])/24 + 30*t[69] + 
       15*t[70] - 15*t[71] + 66*t[72] - 24*t[73] + 29*t[74] - 2*t[75] - 
       64*t[76] + 48*t[77] + (75*t[78])/4 + 30*t[79] - 243*t[80] - 
       (129*t[81])/2 + (229*t[82])/4 - 4*t[83] + (95*t[84])/4 - 
       (327*t[85])/4 - 498*t[86] + (273*t[87])/2 + (273*t[88])/4 - 
       (773*t[89])/16 - (9*t[97])/4 - 378*t[98] + 306*t[99] - 96*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-23*t[1])/4 - (9*t[2])/4 - (337*t[3])/16 - (333*t[4])/8 + 
       (659*t[5])/32 - (317*t[6])/16 + (9*t[7])/8 + (3*t[8])/4 - 
       (73*t[9])/32 + (507*t[10])/16 - (15*t[11])/2 + (631*t[12])/32 - 
       t[13]/72 + (1919*t[14])/48 + (4507*t[15])/192 + t[18] + t[20] + 
       t[21] - 4*t[22] - t[23] + 5*t[24] + 3*t[25] - 3*t[26] + 5*t[27] + 
       3*t[28] - t[29] + 4*t[32] - 3*t[33] + 19*t[34] - 3*t[36] - 
       (7*t[38])/2 + 3*t[39] - 6*t[40] + (19*t[41])/4 - (17*t[42])/4 + 
       (169*t[43])/16 - (5*t[44])/2 - (55*t[45])/4 + (3*t[46])/4 - 
       (3*t[47])/2 - (285*t[48])/16 + (85*t[49])/16 - (13*t[50])/16 - 
       (151*t[51])/32 + (29*t[52])/16 - (85*t[53])/16 + (107*t[54])/16 - 
       (7*t[58])/2 + (9*t[59])/2 + (79*t[60])/4 - (97*t[61])/8 - 
       (105*t[62])/16 + (1785*t[63])/16 - (465*t[64])/16 - (277*t[65])/24 + 
       (259*t[66])/24 - 2*t[70] + 2*t[71] + 8*t[72] - 6*t[73] + 6*t[75] + 
       26*t[76] + t[77] - 14*t[78] + (119*t[80])/2 + 11*t[81] + 25*t[82] + 
       11*t[83] - (25*t[84])/4 + (77*t[85])/4 - (61*t[86])/4 - 
       (203*t[87])/4 - (203*t[88])/8 - (379*t[89])/8 + 4*t[97] + 156*t[98] - 
       168*t[99] - (189*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*((7*t[1])/4 + (5*t[2])/4 + (109*t[3])/16 + 
       (9*t[4])/8 + (121*t[5])/32 - (303*t[6])/8 + (453*t[7])/16 - 
       (1627*t[8])/16 + (1483*t[9])/32 - (233*t[10])/8 + (5*t[11])/2 + 
       (173*t[12])/32 - (1945*t[13])/288 + (37*t[14])/16 - (1877*t[15])/192 + 
       t[18] - t[20] + t[21] - 14*t[22] - t[23] + t[24] - 5*t[25] + t[26] - 
       3*t[27] + t[29] - t[31] - 4*t[32] + 3*t[33] + 19*t[34] - 3*t[36] - 
       (7*t[38])/2 - 3*t[39] + 2*t[40] - (11*t[41])/4 + (13*t[42])/4 + 
       (35*t[43])/8 + t[44]/2 - (193*t[45])/8 - (7*t[46])/4 + (69*t[47])/4 - 
       (245*t[48])/16 + (171*t[49])/16 + (171*t[50])/16 - (17*t[51])/32 - 
       (283*t[52])/16 - (171*t[53])/16 - (113*t[54])/16 + t[58]/2 + 
       (9*t[59])/2 + (79*t[60])/4 - (97*t[61])/8 - (105*t[62])/16 + 
       (1785*t[63])/16 - (465*t[64])/16 - (277*t[65])/24 + (259*t[66])/24 - 
       2*t[70] + 2*t[71] + 8*t[72] - 6*t[73] + 6*t[75] + 26*t[76] + t[77] - 
       14*t[78] + (119*t[80])/2 + 11*t[81] + 25*t[82] + 11*t[83] - 
       (25*t[84])/4 + (77*t[85])/4 - (61*t[86])/4 - (203*t[87])/4 - 
       (203*t[88])/8 - (379*t[89])/8 + 4*t[97] + 156*t[98] - 168*t[99] - 
       (189*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]^2*
      (t[1] + 19*t[2] - 16*t[3] + (43*t[4])/2 - (51*t[5])/2 - (13*t[6])/2 + 
       (57*t[7])/2 + (53*t[8])/2 + 48*t[9] + (129*t[10])/4 + 71*t[11] - 
       (11*t[12])/4 + (1457*t[13])/36 + (1225*t[14])/24 + (217*t[15])/12 - 
       4*t[19] - 4*t[21] + 4*t[23] - 8*t[31] - 4*t[37] - 2*t[41] + 2*t[42] - 
       (3*t[43])/2 + 6*t[45] - 4*t[47] - 6*t[48] + (37*t[49])/4 + 12*t[50] - 
       (13*t[51])/8 - 12*t[52] - (37*t[53])/4 - (49*t[54])/2 + 2*t[59] + 
       (49*t[60])/2 + (259*t[61])/2 - (453*t[62])/4 - (111*t[63])/4 - 
       (709*t[64])/4 - t[65]/6 - (1067*t[66])/6 + 2*t[69] - 8*t[75] - 
       16*t[79] + 8*t[80] + 4*t[81] - 20*t[82] + 39*t[83] + (3*t[84])/2 + 
       (5*t[85])/2 + 54*t[86] - (7*t[87])/2 - (7*t[88])/4 - (73*t[89])/4 + 
       32*t[99] - 94*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]^2*
      (31*t[2] - 2*t[3] + 32*t[4] - (99*t[5])/2 + (5*t[6])/4 + 35*t[7] - 
       12*t[8] + 64*t[9] - 23*t[10] + (169*t[11])/4 + (23*t[12])/2 + 
       (1253*t[13])/36 + (551*t[14])/12 - (3*t[15])/2 + 4*t[19] + 2*t[21] - 
       2*t[23] + 4*t[31] - 4*t[37] - t[41] + t[42] - 4*t[43] - 3*t[45] + 
       14*t[47] - (55*t[48])/4 + 2*t[49] + (29*t[50])/4 + 2*t[51] - 
       (29*t[52])/4 - 2*t[53] - (13*t[54])/4 + 2*t[59] + (49*t[60])/2 + 
       (259*t[61])/2 - (453*t[62])/4 - (111*t[63])/4 - (709*t[64])/4 - 
       t[65]/6 - (1067*t[66])/6 + 2*t[69] - 8*t[75] - 16*t[79] + 8*t[80] + 
       4*t[81] - 20*t[82] + 39*t[83] + (3*t[84])/2 + (5*t[85])/2 + 54*t[86] - 
       (7*t[87])/2 - (7*t[88])/4 - (73*t[89])/4 + 32*t[99] - 94*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      ((25*t[1])/12 + (127*t[2])/12 - (989*t[3])/96 + (203*t[4])/24 - 
       (5741*t[5])/192 - (475*t[6])/96 + (2729*t[7])/96 - (871*t[8])/96 + 
       (11213*t[9])/192 - (65*t[10])/32 + (1963*t[11])/96 + (263*t[12])/64 + 
       (1111*t[13])/1728 + (26285*t[14])/576 + (28307*t[15])/3456 - 
       (5*t[18])/3 - (8*t[20])/3 - (5*t[21])/3 - t[22] + (5*t[23])/3 - 
       (13*t[24])/3 + (8*t[25])/3 - (13*t[26])/6 - (2*t[27])/3 + t[28] - 
       t[29]/2 - (5*t[30])/6 - (14*t[31])/3 + 3*t[32] - (17*t[33])/3 + 
       (41*t[34])/6 - (5*t[36])/2 - t[37] - (17*t[38])/6 + (17*t[39])/3 - 
       (13*t[40])/2 - (3*t[41])/2 + (2*t[42])/3 - (11*t[43])/12 - 
       (11*t[44])/6 - (313*t[45])/48 + (5*t[46])/12 + (137*t[47])/24 - 
       (247*t[48])/48 + (13*t[49])/4 + (401*t[50])/48 - (181*t[51])/48 - 
       (35*t[52])/16 - (13*t[53])/4 - (233*t[54])/48 - (4*t[58])/3 + 
       (7*t[59])/4 + (13*t[60])/24 + (3361*t[61])/48 - (1339*t[62])/32 + 
       (6521*t[63])/96 - (4787*t[64])/96 - (3407*t[65])/144 - 
       (563*t[66])/16 - (11*t[69])/3 - t[70]/3 + t[71]/3 + 3*t[72] - 
       4*t[73] - t[74]/2 + 3*t[75] + (7*t[76])/2 + (7*t[77])/6 - t[78]/2 - 
       2*t[79] + (5*t[80])/12 + (21*t[81])/4 - (43*t[82])/12 + (20*t[83])/3 + 
       t[84]/2 + (65*t[85])/24 + (101*t[86])/24 - (131*t[87])/8 - 
       (147*t[88])/16 - (629*t[89])/16 + t[97] + 26*t[98] - 14*t[99] - 
       92*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-7*t[1])/2 - (41*t[2])/4 + (55*t[3])/4 + (115*t[4])/2 + (37*t[5])/8 + 
       (179*t[6])/4 - (489*t[7])/8 - (303*t[8])/8 - (377*t[9])/8 - 
       (187*t[10])/8 - (89*t[11])/8 - (269*t[12])/8 - (3383*t[13])/144 - 
       (35*t[14])/4 - (43*t[15])/24 - 2*t[16] - t[17]/2 - t[18] - 2*t[21] - 
       t[22]/2 + (11*t[23])/2 + 2*t[24] + 3*t[25] - 2*t[26] - 5*t[27] - 
       4*t[28] - (5*t[34])/2 - 4*t[36] - 2*t[38] - 2*t[39] - 3*t[41] + 
       (11*t[42])/2 + (167*t[43])/8 - t[44] - (63*t[45])/4 - t[46] - 
       (15*t[47])/2 + (61*t[48])/8 + (39*t[49])/2 - (91*t[50])/8 - 
       (35*t[51])/4 + (107*t[52])/8 - (39*t[53])/2 - (61*t[54])/8 - 2*t[59] + 
       (23*t[60])/2 + (103*t[61])/2 + (529*t[62])/4 + (593*t[63])/4 - 
       (157*t[64])/2 - (527*t[65])/4 + (125*t[66])/12 + t[67] + 4*t[68] + 
       4*t[70] - 4*t[71] - 18*t[72] + 7*t[74] - 4*t[76] + 2*t[77] + 4*t[78] - 
       8*t[80] + (5*t[81])/2 - (9*t[82])/2 - (7*t[83])/2 - (69*t[84])/4 + 
       9*t[85] - 149*t[86] - (25*t[87])/2 - (25*t[88])/4 - (41*t[89])/2 + 
       t[92] - 2*t[93] - t[94] - 24*t[98] + 36*t[99] - 91*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*(-7*t[1] - (9*t[2])/4 - 
       (19*t[3])/4 + 20*t[4] + (75*t[5])/8 + (179*t[6])/4 - (423*t[7])/8 - 
       (405*t[8])/8 - (275*t[9])/8 - (21*t[10])/8 - (31*t[11])/8 + 
       (143*t[12])/8 - (2561*t[13])/144 + (475*t[14])/24 + (181*t[15])/12 - 
       t[16] - t[17]/2 - 2*t[18] - 2*t[21] + 2*t[23] + 3*t[25] + t[27] + 
       19*t[31] + 4*t[33] - 2*t[34] - 2*t[36] - 4*t[38] - 2*t[39] - 2*t[40] - 
       t[41]/2 - t[42]/2 + (125*t[43])/8 - t[44] + (9*t[45])/4 + 
       (3*t[46])/2 - (17*t[47])/2 - (115*t[48])/8 - (15*t[49])/2 - 
       (183*t[50])/8 + (23*t[51])/8 + (199*t[52])/8 + (15*t[53])/2 + 
       (63*t[54])/8 + t[56] - 2*t[59] + (23*t[60])/2 + (103*t[61])/2 + 
       (529*t[62])/4 + (593*t[63])/4 - (157*t[64])/2 - (527*t[65])/4 + 
       (125*t[66])/12 + t[67] + 4*t[68] + 4*t[70] - 4*t[71] - 18*t[72] + 
       7*t[74] - 4*t[76] + 2*t[77] + 4*t[78] - 8*t[80] + (5*t[81])/2 - 
       (9*t[82])/2 - (7*t[83])/2 - (69*t[84])/4 + 9*t[85] - 149*t[86] - 
       (25*t[87])/2 - (25*t[88])/4 - (41*t[89])/2 + t[92] - 2*t[93] - t[94] - 
       24*t[98] + 36*t[99] - 91*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*((19*t[1])/2 + (253*t[2])/24 + 
       (55*t[3])/3 - (211*t[4])/4 + (437*t[5])/4 + (473*t[6])/16 - 
       (1075*t[7])/12 + (47*t[8])/8 - (427*t[9])/3 + (1601*t[10])/48 + 
       (271*t[11])/24 - (835*t[12])/16 - (743*t[13])/96 - (10169*t[14])/288 + 
       (7553*t[15])/144 + t[17]/4 - 2*t[18] - 2*t[21] + 6*t[22] + 2*t[23] - 
       5*t[24] + 2*t[27] + 4*t[28] + 3*t[29] - 4*t[30] - 9*t[31] - 10*t[34] - 
       18*t[35] - 6*t[37] + 2*t[38] + 4*t[39] + 2*t[40] - (35*t[41])/12 + 
       (23*t[42])/12 + (601*t[43])/24 - (7*t[44])/2 + (161*t[45])/12 + 
       (173*t[46])/12 - (185*t[47])/6 + (193*t[48])/8 - (1447*t[49])/48 - 
       (341*t[50])/24 + (553*t[51])/96 + (341*t[52])/24 + (1447*t[53])/48 + 
       (74*t[54])/3 - t[58] + (3*t[59])/4 - (221*t[60])/6 + (111*t[61])/4 + 
       (419*t[62])/3 - (445*t[63])/12 - (71*t[64])/4 - (148*t[65])/9 + 
       (467*t[66])/12 - t[67] - 8*t[69] + 5*t[72] - 2*t[73] + (80*t[74])/3 + 
       2*t[75] - 8*t[76] + t[77] + t[78] + 26*t[79] + (175*t[80])/6 - 
       (17*t[81])/6 - (31*t[82])/6 - (107*t[83])/3 + (83*t[84])/6 - 
       (427*t[85])/12 - (457*t[86])/3 + (371*t[87])/12 + (371*t[88])/24 - 
       (101*t[89])/4 + t[94]/2 - t[97] - 48*t[98] + 36*t[99] - 
       (181*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((-27*t[1])/4 - (23*t[2])/12 - 
       (52*t[3])/3 - (17*t[4])/8 - 32*t[5] - (351*t[6])/16 + (907*t[7])/12 + 
       (7*t[8])/2 + (2531*t[9])/24 + (22*t[10])/3 + (433*t[11])/12 + 
       (281*t[12])/8 + (3647*t[13])/288 + (2515*t[14])/36 - (683*t[15])/48 - 
       2*t[26] - 5*t[31] + 18*t[34] - 4*t[38] + 2*t[40] - (25*t[41])/12 + 
       (25*t[42])/12 - (331*t[43])/24 + (31*t[45])/12 - (31*t[46])/6 + 
       (53*t[47])/6 - (137*t[48])/8 + (131*t[49])/6 + (101*t[50])/24 - 
       (193*t[51])/24 - (149*t[52])/24 - (131*t[53])/6 - (157*t[54])/24 - 
       2*t[58] - (3*t[59])/2 + (311*t[60])/6 + 101*t[61] - (2315*t[62])/12 + 
       (1717*t[63])/12 - (7*t[64])/2 - (383*t[65])/36 - (1031*t[66])/12 - 
       (62*t[74])/3 + 28*t[76] + 4*t[77] - 16*t[78] + 4*t[79] - 
       (31*t[80])/6 + (37*t[81])/3 + (11*t[82])/3 + (8*t[83])/3 - 
       (10*t[84])/3 + (131*t[85])/6 + (352*t[86])/3 - (403*t[87])/6 - 
       (403*t[88])/12 - (167*t[89])/4 + 4*t[97] + 192*t[98] - 192*t[99] - 
       88*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((55*t[1])/8 - (243*t[2])/8 + (629*t[3])/8 + 
       105*t[4] - (33*t[5])/32 - (3343*t[6])/32 + (641*t[7])/16 - 
       (2613*t[8])/16 + (939*t[9])/32 - (1315*t[10])/16 + (9563*t[11])/32 + 
       (1501*t[12])/32 + (17029*t[13])/96 - (835*t[14])/24 - 
       (30181*t[15])/576 + 8*t[18] - 2*t[19] + 15*t[20] + 7*t[21] - 
       (37*t[22])/2 - (11*t[23])/2 + 2*t[24] + 8*t[25] - (25*t[26])/4 - 
       6*t[27] + 3*t[28] + t[29]/2 + (85*t[30])/4 - (3*t[31])/2 - 
       (101*t[32])/4 - (15*t[33])/2 - (9*t[34])/4 - 7*t[35] + 8*t[36] - 
       t[37] + t[38]/2 + 6*t[39] + t[40]/4 + (59*t[41])/8 - (51*t[42])/8 + 
       (3*t[43])/2 + (145*t[44])/8 - (271*t[45])/8 - 4*t[46] + 
       (305*t[47])/4 - (1063*t[48])/32 + (195*t[49])/8 + (29*t[50])/32 - 
       (97*t[51])/16 - (725*t[52])/32 - (147*t[53])/8 - (3293*t[54])/32 + 
       (3*t[58])/4 + 12*t[59] + (707*t[60])/16 + (4993*t[61])/16 - 
       (7131*t[62])/32 + (971*t[63])/32 + (9777*t[64])/32 - (823*t[65])/48 - 
       (24439*t[66])/48 - t[68] - 8*t[69] - 14*t[70] + 14*t[71] - 
       (9*t[72])/2 + 20*t[73] - (33*t[74])/2 - 9*t[75] + (173*t[76])/4 + 
       27*t[77] - (67*t[78])/4 - 7*t[79] + 74*t[80] + (77*t[81])/2 - 
       (47*t[82])/2 - 13*t[83] - (465*t[84])/16 - (543*t[85])/16 + 
       (73*t[86])/4 - (501*t[87])/16 - (1461*t[88])/32 - (587*t[89])/32 + 
       17*t[95] + 18*t[96] + t[97]/2 + 102*t[98] - 87*t[99] - 88*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((55*t[1])/8 - (69*t[2])/2 - (1233*t[3])/16 - (1763*t[4])/16 - 
       (761*t[5])/32 + (201*t[6])/8 + (271*t[7])/4 + (1437*t[8])/8 + 
       (3307*t[9])/32 + (469*t[10])/32 + (1219*t[11])/16 + (943*t[12])/16 + 
       (4109*t[13])/144 + (28351*t[14])/192 + (707*t[15])/576 + 2*t[18] + 
       (3*t[19])/2 + t[20] + 4*t[21] + 4*t[22] - 4*t[23] + 2*t[24] + 
       4*t[25] + (3*t[26])/2 + 8*t[28] + 5*t[29] - 12*t[30] + t[31] - 
       2*t[32] + t[33] + (3*t[34])/4 + 5*t[35] + (13*t[36])/2 + 
       (31*t[37])/2 - (7*t[38])/2 + (27*t[39])/2 - (45*t[40])/4 + 
       (87*t[41])/8 - (79*t[42])/8 + (161*t[43])/16 - 11*t[44] - t[45] - 
       7*t[46] + (77*t[47])/4 + (383*t[48])/8 + (1147*t[49])/32 - 
       (293*t[50])/8 + (455*t[51])/64 + (387*t[52])/8 - (163*t[53])/32 + 
       (1551*t[54])/16 + t[56]/4 - t[57] + t[58] + 12*t[59] + 
       (707*t[60])/16 + (4993*t[61])/16 - (7131*t[62])/32 + (971*t[63])/32 + 
       (9777*t[64])/32 - (823*t[65])/48 - (24439*t[66])/48 - t[68] - 
       8*t[69] - 14*t[70] + 14*t[71] - (9*t[72])/2 + 20*t[73] - 
       (33*t[74])/2 - 9*t[75] + (173*t[76])/4 + 27*t[77] - (67*t[78])/4 - 
       7*t[79] + 74*t[80] + (77*t[81])/2 - (47*t[82])/2 - 13*t[83] - 
       (465*t[84])/16 - (543*t[85])/16 + (73*t[86])/4 - (501*t[87])/16 - 
       (1461*t[88])/32 - (587*t[89])/32 + 17*t[95] + 18*t[96] + t[97]/2 + 
       102*t[98] - 87*t[99] - 88*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Qep[w, v, u]*((-40*t[1])/3 + (136*t[2])/9 - (52*t[3])/9 + 12*t[4] + 
       (130*t[5])/3 + 94*t[6] - (860*t[7])/9 - (220*t[8])/3 - (566*t[9])/9 + 
       (172*t[10])/9 - (344*t[11])/9 - (142*t[12])/3 - (1543*t[13])/27 + 
       (934*t[14])/27 + (433*t[15])/9 + (64*t[31])/3 + (56*t[41])/9 - 
       (56*t[42])/9 + (220*t[43])/9 - (560*t[45])/9 + (112*t[46])/9 + 
       (352*t[47])/9 - (8*t[48])/3 - (176*t[49])/9 - (152*t[50])/9 + 
       (4*t[51])/9 + (152*t[52])/9 + (176*t[53])/9 + (184*t[54])/9 + 
       (64*t[59])/3 + (328*t[60])/9 + (280*t[61])/3 + (3088*t[62])/9 + 
       (712*t[63])/9 - (916*t[64])/3 - (2024*t[65])/27 + (568*t[66])/9 + 
       (544*t[74])/9 - (160*t[79])/3 + (544*t[80])/9 + (16*t[81])/9 - 
       (16*t[82])/9 - (256*t[83])/9 + (128*t[84])/9 + (184*t[85])/9 - 
       (2816*t[86])/9 - (440*t[87])/9 - (220*t[88])/9 - 44*t[89] - 
       (256*t[100])/3) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      (-7*t[1] + t[2] - 6*t[3] + (5*t[4])/2 + (59*t[5])/4 + (87*t[6])/4 - 
       (73*t[7])/8 - (7*t[8])/8 - (141*t[9])/8 + (113*t[10])/8 - 
       (99*t[11])/8 - (5*t[12])/2 - (289*t[13])/144 + (43*t[14])/6 + 
       (227*t[15])/48 - 2*t[18] + 2*t[20] - 3*t[21] + 3*t[23] + 2*t[25] - 
       2*t[26] - 2*t[27] + t[28] + 2*t[30] + 2*t[33] + 2*t[34] + t[37] - 
       2*t[38] - 2*t[39] - t[40]/2 + t[41] - 2*t[42] + (7*t[43])/8 - 
       2*t[44] + (3*t[45])/4 - (7*t[46])/2 - 11*t[47] + (17*t[48])/8 + 
       (15*t[49])/2 + (5*t[50])/8 - (25*t[51])/8 + (27*t[52])/8 - 
       (15*t[53])/2 + (51*t[54])/8 - t[58] + (13*t[59])/4 + (29*t[60])/4 + 
       (81*t[61])/4 + 36*t[62] + (147*t[63])/2 - (179*t[64])/8 - 43*t[65] + 
       (581*t[66])/12 + 3*t[69] + 6*t[70] - 6*t[71] + 2*t[74] + 2*t[75] + 
       (3*t[76])/2 + t[77]/2 + 4*t[79] - 19*t[80] + (3*t[81])/2 + t[82]/2 - 
       (21*t[83])/2 + 5*t[84] + (3*t[85])/2 - 37*t[86] - 19*t[87] - 
       (19*t[88])/2 - (173*t[89])/8 + t[97]/2 + 24*t[98] - 20*t[99] - 
       (163*t[100])/2) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((9*t[1])/2 - (31*t[2])/8 - (145*t[3])/4 + (247*t[4])/8 - 
       (205*t[5])/16 + (673*t[6])/16 + (1195*t[7])/16 + (1535*t[8])/16 + 
       (515*t[9])/8 - 74*t[10] + (241*t[11])/4 + (55*t[12])/4 + 
       (7061*t[13])/288 + (4249*t[14])/96 - (515*t[15])/144 + t[17] + 
       (5*t[18])/2 - t[19] + 3*t[20] + 7*t[21] - 10*t[22] - 7*t[23] + 
       (7*t[24])/2 + 4*t[25] + (11*t[26])/4 + t[27]/2 - 5*t[29] - 11*t[30] + 
       10*t[32] + 9*t[34] - 3*t[36] - 7*t[37] - (17*t[38])/4 + (17*t[39])/2 - 
       (29*t[40])/4 + (7*t[41])/4 + (3*t[42])/4 - (39*t[43])/16 + 8*t[44] - 
       (73*t[45])/8 + (15*t[46])/4 + (89*t[47])/4 + (361*t[48])/8 - 
       (257*t[49])/16 - (11*t[50])/8 + (101*t[51])/32 - (21*t[52])/8 + 
       (33*t[53])/16 + (43*t[54])/4 - t[55]/4 + (3*t[58])/4 + (45*t[59])/8 + 
       (1081*t[60])/8 + (309*t[61])/2 - (517*t[62])/4 - (765*t[63])/4 - 
       (105*t[64])/8 + (536*t[65])/3 - (365*t[66])/8 - t[68] + 3*t[69] + 
       4*t[70] - 4*t[71] + 6*t[72] - (87*t[76])/4 + (3*t[77])/2 + 
       (199*t[78])/4 + 47*t[80] + (5*t[81])/2 + (11*t[82])/4 + 6*t[83] + 
       (99*t[84])/2 - 20*t[85] + (141*t[86])/2 - 33*t[87] + 30*t[88] + 
       (171*t[89])/2 + t[92]/2 - t[94]/2 - 10*t[95] - 10*t[96] + 
       (15*t[97])/4 - 168*t[98] + 216*t[99] - 78*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-33*t[1])/8 - (33*t[2])/8 - (261*t[3])/4 - (231*t[4])/8 - 
       (121*t[5])/16 + (701*t[6])/16 + (489*t[7])/16 + (2293*t[8])/16 + 
       48*t[9] + (13*t[10])/4 + (79*t[11])/4 + 40*t[12] + (4163*t[13])/96 + 
       (6731*t[14])/96 + (1049*t[15])/48 + t[16]/4 + 5*t[18] + 2*t[19] + 
       t[20] + 7*t[21] + (7*t[22])/2 - 7*t[23] + 4*t[24] + (3*t[25])/2 + 
       4*t[26] + (9*t[27])/2 - (5*t[29])/2 - t[30] - t[31] + 11*t[32] + 
       8*t[33] + (13*t[34])/4 - (3*t[36])/2 - 7*t[37] - (25*t[38])/4 - 
       t[39] - t[40] + (49*t[41])/8 - (29*t[42])/8 + (9*t[43])/16 - 
       (39*t[44])/4 + (113*t[45])/8 + 12*t[46] + (17*t[47])/2 + 
       (19*t[48])/2 - (547*t[49])/16 - 14*t[50] + (175*t[51])/32 + 
       (17*t[52])/4 + (395*t[53])/16 + (501*t[54])/8 + t[55]/4 + 4*t[58] + 
       (45*t[59])/8 + (1081*t[60])/8 + (309*t[61])/2 - (517*t[62])/4 - 
       (765*t[63])/4 - (105*t[64])/8 + (536*t[65])/3 - (365*t[66])/8 - 
       t[68] + 3*t[69] + 4*t[70] - 4*t[71] + 6*t[72] - (87*t[76])/4 + 
       (3*t[77])/2 + (199*t[78])/4 + 47*t[80] + (5*t[81])/2 + (11*t[82])/4 + 
       6*t[83] + (99*t[84])/2 - 20*t[85] + (141*t[86])/2 - 33*t[87] + 
       30*t[88] + (171*t[89])/2 + t[92]/2 - t[94]/2 - 10*t[95] - 10*t[96] + 
       (15*t[97])/4 - 168*t[98] + 216*t[99] - 78*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*(-t[1] - 22*t[2] - 
       (237*t[3])/4 - (355*t[4])/4 + (99*t[5])/4 - 47*t[6] + (1035*t[7])/8 + 
       (685*t[8])/8 + (709*t[9])/8 + 33*t[10] + (1335*t[11])/8 + 
       (831*t[12])/8 + (15001*t[13])/144 + (6913*t[14])/48 + 
       (1147*t[15])/48 + 12*t[18] + 8*t[20] + 12*t[21] - 3*t[22] - 12*t[23] + 
       19*t[24] + 6*t[25] - (11*t[26])/2 + 10*t[27] - t[29] + 7*t[30] + 
       8*t[32] - t[33] + 49*t[34] - 6*t[36] - 3*t[38] + t[39] - 12*t[40] + 
       (23*t[41])/2 - 6*t[42] - (29*t[43])/8 - (79*t[45])/4 + (3*t[46])/2 + 
       (83*t[47])/2 - (265*t[48])/8 + (65*t[49])/8 - (21*t[50])/8 - 
       (35*t[51])/16 - (43*t[52])/8 - (65*t[53])/8 - (21*t[54])/8 - 
       (3*t[58])/2 - 3*t[59] + (685*t[60])/4 + (959*t[61])/4 - 
       (2645*t[62])/8 + (249*t[63])/8 + (351*t[64])/8 + (2227*t[65])/12 - 
       (4339*t[66])/12 - t[69] - 23*t[70] + 23*t[71] + 14*t[72] - 12*t[73] - 
       20*t[74] + 12*t[75] + 62*t[76] - 28*t[78] + 156*t[80] + 32*t[81] + 
       40*t[82] + 16*t[83] - (17*t[84])/4 + (177*t[85])/4 + 105*t[86] - 
       (535*t[87])/4 - (535*t[88])/8 - (125*t[89])/8 + 8*t[97] + 312*t[98] - 
       324*t[99] - 75*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 
       1 - u]*(17*t[1] - 17*t[2] - (25*t[3])/2 - (15*t[4])/2 - (93*t[5])/2 - 
       (661*t[6])/8 + (1519*t[7])/8 - (891*t[8])/8 + (2125*t[9])/8 - 
       (873*t[10])/8 + (321*t[11])/2 + (163*t[12])/2 + (3223*t[13])/48 + 
       (955*t[14])/12 - (2345*t[15])/48 + 12*t[18] - 6*t[20] + 13*t[21] - 
       33*t[22] - 13*t[23] + 12*t[24] - 10*t[25] + (3*t[26])/2 - 6*t[27] + 
       t[29] - 7*t[30] - t[31] - 8*t[32] + t[33] + 48*t[34] - 6*t[36] - 
       t[38] - t[39] + 4*t[40] - (7*t[41])/2 + 10*t[42] - (73*t[43])/8 + 
       2*t[44] - (203*t[45])/4 - (7*t[46])/2 + (199*t[47])/2 - (61*t[48])/2 + 
       (33*t[49])/4 + 14*t[50] + 6*t[51] - 37*t[52] - (33*t[53])/4 - 
       15*t[54] + (11*t[58])/2 - 3*t[59] + (685*t[60])/4 + (959*t[61])/4 - 
       (2645*t[62])/8 + (249*t[63])/8 + (351*t[64])/8 + (2227*t[65])/12 - 
       (4339*t[66])/12 - t[69] - 23*t[70] + 23*t[71] + 14*t[72] - 12*t[73] - 
       20*t[74] + 12*t[75] + 62*t[76] - 28*t[78] + 156*t[80] + 32*t[81] + 
       40*t[82] + 16*t[83] - (17*t[84])/4 + (177*t[85])/4 + 105*t[86] - 
       (535*t[87])/4 - (535*t[88])/8 - (125*t[89])/8 + 8*t[97] + 312*t[98] - 
       324*t[99] - 75*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-112*t[1])/9 + (41*t[2])/6 + 
       (331*t[3])/144 + (107*t[4])/12 + (1717*t[5])/288 + (6817*t[6])/288 - 
       (1757*t[7])/96 - (893*t[8])/32 - (2581*t[9])/144 + (379*t[10])/32 - 
       (875*t[11])/24 + (1931*t[12])/288 - (67675*t[13])/5184 - 
       (16651*t[14])/864 - (1091*t[15])/72 - (19*t[18])/9 + (20*t[20])/9 - 
       (19*t[21])/9 - (35*t[22])/9 + (19*t[23])/9 + (34*t[24])/9 - t[25]/3 - 
       (2*t[26])/3 - (41*t[27])/9 + t[28] + (10*t[29])/9 - t[30]/3 + 
       (55*t[31])/6 - (22*t[32])/9 + (11*t[33])/3 - (37*t[34])/9 + t[36]/3 + 
       t[37] - (11*t[38])/18 - (11*t[39])/3 + (8*t[40])/3 + (23*t[41])/9 - 
       (65*t[42])/18 + (1087*t[43])/288 - (37*t[44])/18 - (329*t[45])/144 - 
       (14*t[46])/3 - (37*t[47])/24 - (7*t[48])/8 + (209*t[49])/36 + 
       (5*t[50])/72 + (37*t[51])/72 - (157*t[52])/72 - (209*t[53])/36 + 
       (707*t[54])/72 + (7*t[58])/18 + 5*t[59] + (563*t[60])/36 + 
       (899*t[61])/36 + (1219*t[62])/24 + (1537*t[63])/24 - (559*t[64])/24 - 
       (3743*t[65])/54 + (2081*t[66])/54 + (22*t[69])/3 + (104*t[70])/9 - 
       (104*t[71])/9 - (26*t[72])/9 + 2*t[73] + (17*t[74])/3 - (41*t[76])/9 + 
       (32*t[77])/9 + (29*t[78])/9 + 4*t[79] - (166*t[80])/9 - 
       (49*t[81])/18 - (35*t[82])/18 - (56*t[83])/9 + (55*t[84])/9 - 
       (23*t[85])/36 - (527*t[86])/9 - (493*t[87])/36 - (349*t[88])/72 - 
       (557*t[89])/72 - (4*t[97])/9 - (40*t[98])/3 + 14*t[99] - 74*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      ((61*t[1])/3 - 6*t[2] - (381*t[3])/4 + 567*t[4] - (3241*t[5])/8 + 
       (27*t[6])/4 - 134*t[7] - (625*t[8])/2 + (2203*t[9])/8 - (43*t[10])/2 - 
       25*t[11] + (4931*t[12])/24 - (1915*t[13])/18 + (1291*t[14])/24 - 
       (6797*t[15])/48 - 6*t[21] + 6*t[23] - 24*t[31] + 6*t[40] + 3*t[41] - 
       3*t[42] - (289*t[43])/4 - 36*t[44] - 33*t[45] - 30*t[46] + 162*t[47] - 
       (147*t[48])/4 - 18*t[49] + (81*t[50])/4 + (15*t[51])/2 - 
       (81*t[52])/4 + 18*t[53] - (177*t[54])/4 - (116*t[59])/3 - 
       (35*t[60])/2 - 240*t[61] + 905*t[62] + 379*t[63] - 963*t[64] - 
       (2654*t[65])/9 + (5066*t[66])/9 + 18*t[69] + 6*t[72] + 12*t[74] - 
       18*t[77] - 102*t[79] - 114*t[80] + 24*t[81] - 24*t[82] - 45*t[83] - 
       (3*t[84])/2 + (123*t[85])/2 - 917*t[86] - (117*t[87])/2 - 
       (117*t[88])/4 + (103*t[89])/4 - 72*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (3*t[1] - (100*t[2])/3 + (1041*t[3])/4 - (243*t[4])/2 + (3289*t[5])/8 + 
       (2059*t[6])/12 - (1535*t[7])/4 - (1219*t[8])/4 - (5797*t[9])/8 + 
       210*t[10] - (2219*t[11])/4 - (2947*t[12])/8 - (5803*t[13])/24 - 
       (2951*t[14])/18 + (40273*t[15])/144 - 6*t[17] + (20*t[18])/3 + 
       (5*t[19])/3 - 12*t[21] - 4*t[22] + 44*t[23] + 48*t[24] - 12*t[28] + 
       60*t[31] - 28*t[41] + (170*t[42])/3 + (301*t[43])/2 + 48*t[44] - 
       (459*t[45])/2 + 36*t[46] - 117*t[47] + (39*t[48])/2 + (105*t[49])/4 - 
       (165*t[50])/2 - (153*t[51])/8 + (165*t[52])/2 - (105*t[53])/4 + 
       36*t[54] - (116*t[59])/3 - (35*t[60])/2 - 240*t[61] + 905*t[62] + 
       379*t[63] - 963*t[64] - (2654*t[65])/9 + (5066*t[66])/9 + 18*t[69] + 
       6*t[72] + 12*t[74] - 18*t[77] - 102*t[79] - 114*t[80] + 24*t[81] - 
       24*t[82] - 45*t[83] - (3*t[84])/2 + (123*t[85])/2 - 917*t[86] - 
       (117*t[87])/2 - (117*t[88])/4 + (103*t[89])/4 - 72*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-3*t[1])/2 + (5*t[2])/2 - t[3]/8 + (55*t[4])/4 - (209*t[5])/16 + 
       (111*t[6])/8 - (33*t[7])/2 + (17*t[8])/4 - (73*t[9])/16 - 
       (35*t[10])/8 - (85*t[11])/4 - (117*t[12])/16 - (1103*t[13])/72 - 
       (349*t[14])/24 + (209*t[15])/288 - 2*t[18] - 2*t[21] + 2*t[23] - 
       2*t[24] + 2*t[25] - t[26] - 2*t[27] - 2*t[29] - 4*t[30] + 2*t[32] - 
       2*t[33] - 12*t[34] + 2*t[36] + t[38] + 2*t[39] + 2*t[40] - 
       (5*t[41])/2 + (3*t[42])/2 - (17*t[43])/8 + 3*t[44] + 5*t[45] + 
       t[46]/2 - 8*t[47] + (57*t[48])/8 - (63*t[49])/8 + t[50]/8 + 
       (57*t[51])/16 - t[52]/8 + (63*t[53])/8 - (11*t[54])/8 - 3*t[59] - 
       23*t[60] - (111*t[61])/4 + (527*t[62])/8 - (191*t[63])/8 - 
       (63*t[64])/8 - (485*t[65])/12 + (257*t[66])/4 + 4*t[70] - 4*t[71] + 
       2*t[72] + 4*t[73] + 4*t[74] - 4*t[75] - 14*t[76] - 10*t[77] + 
       8*t[78] - 45*t[80] - 6*t[81] - 8*t[82] - 4*t[83] + t[84] - 21*t[85] - 
       (41*t[86])/2 + 33*t[87] + (33*t[88])/2 - (7*t[89])/2 - 72*t[98] + 
       84*t[99] - 72*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-5*t[1])/2 + (3*t[2])/2 + (25*t[3])/8 + 
       (77*t[4])/4 + (173*t[5])/16 + 27*t[6] - (457*t[7])/8 + (379*t[8])/8 - 
       (1269*t[9])/16 + (25*t[10])/2 - (57*t[11])/2 - (447*t[12])/16 - 
       (1111*t[13])/144 - (337*t[14])/24 + (4009*t[15])/288 - 2*t[18] + 
       2*t[20] - 2*t[21] + 4*t[22] + 2*t[23] - 2*t[24] + 2*t[25] - t[26] - 
       2*t[27] + 2*t[29] + 4*t[30] - 2*t[31] + 2*t[32] + 2*t[33] - 12*t[34] + 
       2*t[36] + t[38] - 2*t[39] + 2*t[40] - (3*t[41])/2 + t[42]/2 - 
       (3*t[43])/2 - 5*t[44] + (57*t[45])/4 - t[46]/2 - (61*t[47])/2 + 
       (115*t[48])/8 + (19*t[49])/8 - (69*t[50])/8 - (13*t[51])/16 + 
       (101*t[52])/8 - (19*t[53])/8 + (39*t[54])/8 - 3*t[59] - 23*t[60] - 
       (111*t[61])/4 + (527*t[62])/8 - (191*t[63])/8 - (63*t[64])/8 - 
       (485*t[65])/12 + (257*t[66])/4 + 4*t[70] - 4*t[71] + 2*t[72] + 
       4*t[73] + 4*t[74] - 4*t[75] - 14*t[76] - 10*t[77] + 8*t[78] - 
       45*t[80] - 6*t[81] - 8*t[82] - 4*t[83] + t[84] - 21*t[85] - 
       (41*t[86])/2 + 33*t[87] + (33*t[88])/2 - (7*t[89])/2 - 72*t[98] + 
       84*t[99] - 72*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((301*t[1])/72 + (91*t[2])/12 - 
       (19513*t[3])/576 - (71*t[4])/3 - (1045*t[5])/1152 + (6715*t[6])/576 + 
       (9857*t[7])/192 + (2587*t[8])/64 + (60509*t[9])/1152 - 
       (1509*t[10])/64 + (13375*t[11])/192 + (16885*t[12])/1152 + 
       (572891*t[13])/10368 + (209449*t[14])/3456 + (47837*t[15])/6912 + 
       (28*t[18])/9 + t[19]/2 + (28*t[20])/9 + (28*t[21])/9 - (11*t[22])/18 - 
       (28*t[23])/9 + (73*t[24])/18 + 2*t[25] - 2*t[26] + (11*t[27])/9 + 
       (3*t[28])/2 - (19*t[29])/36 + (5*t[30])/12 + (3*t[31])/4 + 
       (65*t[32])/18 - (5*t[33])/2 + (118*t[34])/9 + 2*t[35] + (5*t[36])/12 - 
       t[37]/2 - (29*t[38])/36 + (5*t[39])/2 - (20*t[40])/3 + (41*t[41])/72 - 
       (19*t[42])/72 + (2465*t[43])/288 - (133*t[44])/36 - (4517*t[45])/288 + 
       t[46] + (1487*t[47])/48 - (107*t[48])/16 + t[49]/144 + 
       (701*t[50])/144 + (107*t[51])/288 - (205*t[52])/144 - t[53]/144 - 
       (7*t[54])/144 + (25*t[58])/36 - (89*t[59])/18 + (3941*t[60])/72 + 
       (29153*t[61])/288 - (22055*t[62])/192 - (1619*t[63])/64 + 
       (4123*t[64])/192 + (28097*t[65])/864 - (164831*t[66])/864 - 
       (14*t[69])/3 - (35*t[70])/9 + (35*t[71])/9 - (5*t[72])/18 - 
       (5*t[73])/3 - t[74] - (5*t[75])/6 + (283*t[76])/18 + (43*t[77])/36 - 
       (239*t[78])/36 - (20*t[79])/3 + (5471*t[80])/72 + (329*t[81])/36 - 
       (20*t[82])/9 + (331*t[83])/18 + (26*t[84])/9 + (521*t[85])/36 + 
       (9275*t[86])/144 - (1097*t[87])/36 - (1043*t[88])/72 + 
       (841*t[89])/144 + (10*t[97])/9 + (253*t[98])/3 - 66*t[99] - 
       71*t[100]) + HPL[{0, 1, 1}, 1 - w]*Omega2[w, u, v]*
      (t[1]/2 + (27*t[2])/2 - (35*t[3])/4 + (97*t[4])/4 - (285*t[5])/8 - 
       (37*t[6])/4 + (53*t[7])/4 + t[8]/4 + (289*t[9])/8 - (9*t[10])/8 + 
       (69*t[11])/2 + t[12]/4 + (431*t[13])/36 + (1517*t[14])/48 + 
       (65*t[15])/16 - 2*t[19] - 2*t[21] + 2*t[23] + 4*t[28] - 2*t[30] - 
       4*t[31] - 2*t[37] + 2*t[39] - t[41] + t[42] - t[43]/2 - 2*t[44] + 
       (11*t[45])/2 - 7*t[47] - (11*t[48])/4 + (7*t[49])/8 + (17*t[50])/4 - 
       (7*t[51])/16 - (17*t[52])/4 - (7*t[53])/8 - 7*t[54] + t[59] + 
       (83*t[60])/4 + (303*t[61])/4 - (427*t[62])/8 - (113*t[63])/8 - 
       (875*t[64])/8 - (37*t[65])/12 - (373*t[66])/4 + t[69] + 3*t[72] - 
       4*t[75] + t[77] - 8*t[79] - 14*t[80] + 2*t[81] - 10*t[82] + 
       (27*t[83])/2 + (17*t[84])/4 + (3*t[85])/4 + 19*t[86] - (29*t[87])/4 - 
       (29*t[88])/8 - (23*t[89])/8 + 16*t[99] - 71*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*Omega2[u, v, w]*((31*t[2])/2 - (33*t[3])/4 + 
       (25*t[4])/2 - (55*t[5])/8 + (125*t[6])/8 + (43*t[7])/2 + 6*t[8] + 
       (179*t[9])/8 + (13*t[10])/2 + (191*t[11])/8 - (33*t[12])/8 + 
       (1945*t[13])/72 + (199*t[14])/6 + (443*t[15])/48 + 2*t[19] + t[21] - 
       t[23] + 2*t[28] - 2*t[30] + 2*t[31] - 2*t[37] + 2*t[39] - t[40] - 
       t[41]/2 + t[42]/2 + (11*t[43])/4 + 3*t[45] - 2*t[47] - (31*t[48])/8 + 
       4*t[49] + (21*t[50])/8 + (3*t[51])/2 - (21*t[52])/8 - 4*t[53] - 
       (29*t[54])/8 + t[59] + (83*t[60])/4 + (303*t[61])/4 - (427*t[62])/8 - 
       (113*t[63])/8 - (875*t[64])/8 - (37*t[65])/12 - (373*t[66])/4 + 
       t[69] + 3*t[72] - 4*t[75] + t[77] - 8*t[79] - 14*t[80] + 2*t[81] - 
       10*t[82] + (27*t[83])/2 + (17*t[84])/4 + (3*t[85])/4 + 19*t[86] - 
       (29*t[87])/4 - (29*t[88])/8 - (23*t[89])/8 + 16*t[99] - 71*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((-49*t[1])/18 + (139*t[2])/18 - (947*t[3])/144 + (58*t[4])/3 - 
       (5159*t[5])/288 + (119*t[6])/24 + (119*t[7])/4 - (319*t[8])/36 + 
       (13129*t[9])/288 + (1103*t[10])/144 + (1057*t[11])/36 + 
       (3641*t[12])/288 + (74489*t[13])/2592 + (4333*t[14])/144 - 
       (3397*t[15])/576 + (7*t[18])/9 + t[19] + (2*t[20])/9 + (16*t[21])/9 - 
       (23*t[22])/9 - (16*t[23])/9 + (31*t[24])/9 - (5*t[25])/9 - 
       (13*t[26])/18 - t[27] + t[28] - (37*t[29])/18 - (5*t[30])/3 + 
       (23*t[31])/9 - (7*t[32])/9 + t[33] + (77*t[34])/18 - (11*t[36])/6 - 
       t[37] + t[38]/9 + (7*t[40])/18 + (10*t[41])/9 - (13*t[42])/18 - 
       (647*t[43])/144 + (7*t[44])/18 - (139*t[45])/72 - (71*t[46])/18 + 
       (101*t[47])/12 - (1193*t[48])/144 + (451*t[49])/48 + (47*t[50])/16 - 
       (29*t[51])/288 - (703*t[52])/144 - (451*t[53])/48 - (473*t[54])/144 - 
       t[58]/9 + (3*t[59])/2 + (1465*t[60])/36 + (8105*t[61])/72 - 
       (1709*t[62])/24 + (727*t[63])/24 - (449*t[64])/4 + (2357*t[65])/216 - 
       (22085*t[66])/216 + (5*t[69])/3 + (19*t[70])/9 - (19*t[71])/9 + 
       (23*t[72])/9 - (29*t[73])/6 - (23*t[74])/6 + (17*t[75])/6 + 
       (53*t[76])/9 + (25*t[77])/9 - (19*t[78])/18 - 4*t[79] - (29*t[80])/9 + 
       (115*t[81])/18 - (35*t[82])/9 + (107*t[83])/9 + (149*t[84])/36 + 
       (365*t[85])/36 - (89*t[86])/18 - (1055*t[87])/36 - (1055*t[88])/72 - 
       (455*t[89])/36 + (7*t[97])/9 + (82*t[98])/3 - 12*t[99] - 70*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (t[1]/2 - 26*t[2] - (71*t[3])/2 + (243*t[4])/2 - (15*t[5])/2 - 
       (341*t[6])/4 + 41*t[7] - 63*t[8] + 54*t[9] - 66*t[10] + 
       (567*t[11])/4 - (51*t[12])/2 + (1087*t[13])/12 - (25*t[14])/24 + 
       (31*t[15])/12 + t[17] + 4*t[18] + 2*t[19] + 4*t[21] + 4*t[22] - 
       4*t[23] + 4*t[24] + 4*t[25] - 5*t[26] - 4*t[27] - 4*t[28] - 3*t[29] + 
       4*t[30] - 2*t[32] + 2*t[33] + 5*t[34] + 16*t[35] + 4*t[37] + 2*t[38] - 
       6*t[39] + 5*t[40] + (3*t[41])/2 + t[42]/2 - 9*t[43] + (49*t[44])/2 - 
       (35*t[45])/2 - 18*t[46] + 49*t[47] - (55*t[48])/4 + 49*t[49] + 
       (165*t[50])/4 - (35*t[51])/8 - (193*t[52])/4 - 49*t[53] - 
       (389*t[54])/4 + t[58] - 8*t[59] + (185*t[60])/2 + 97*t[61] - 
       (215*t[62])/4 - (143*t[63])/4 + (185*t[64])/4 + (112*t[65])/3 - 
       (379*t[66])/2 + t[67] + 6*t[69] - 12*t[70] + 12*t[71] - 6*t[72] - 
       14*t[74] + 11*t[76] - 12*t[77] + 38*t[80] + 14*t[81] - 13*t[82] + 
       15*t[83] + (11*t[84])/2 + 16*t[85] + 69*t[86] - 49*t[87] - 
       (49*t[88])/2 + (27*t[89])/2 + 48*t[98] - 24*t[99] - 69*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((13*t[1])/2 - 11*t[2] - (159*t[4])/2 - (49*t[5])/2 + (389*t[6])/4 + 
       (179*t[7])/4 + (335*t[8])/4 + (323*t[9])/4 - (167*t[10])/4 + 
       (55*t[11])/4 + (99*t[12])/2 - (71*t[13])/18 + (1843*t[14])/24 - 
       (493*t[15])/24 - t[17] + 8*t[18] - (26*t[19])/3 + 2*t[21] - 12*t[22] + 
       2*t[24] + 4*t[25] - 4*t[26] - 4*t[27] - 8*t[28] + 3*t[29] + 4*t[30] + 
       8*t[31] - 2*t[33] + 13*t[34] - 4*t[35] + 6*t[37] - 2*t[39] - 
       (5*t[40])/2 - (15*t[41])/2 + (19*t[42])/2 + (43*t[43])/4 - 
       (49*t[44])/2 - (21*t[45])/2 + 11*t[46] + 28*t[47] - (31*t[48])/4 - 
       26*t[49] - (143*t[50])/4 + (17*t[51])/8 + (131*t[52])/4 + 26*t[53] + 
       (279*t[54])/4 + 2*t[58] - 8*t[59] + (185*t[60])/2 + 97*t[61] - 
       (215*t[62])/4 - (143*t[63])/4 + (185*t[64])/4 + (112*t[65])/3 - 
       (379*t[66])/2 + t[67] + 6*t[69] - 12*t[70] + 12*t[71] - 6*t[72] - 
       14*t[74] + 11*t[76] - 12*t[77] + 38*t[80] + 14*t[81] - 13*t[82] + 
       15*t[83] + (11*t[84])/2 + 16*t[85] + 69*t[86] - 49*t[87] - 
       (49*t[88])/2 + (27*t[89])/2 + 48*t[98] - 24*t[99] - 69*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((35*t[1])/6 - (91*t[2])/6 - (277*t[3])/12 - (367*t[4])/12 - 
       (13*t[5])/6 + (145*t[6])/6 + (269*t[7])/12 + (227*t[8])/3 + 
       (43*t[9])/3 - (107*t[10])/24 + (127*t[11])/12 - (137*t[12])/24 - 
       (73*t[13])/18 + (4025*t[14])/144 + (1121*t[15])/54 - (5*t[17])/6 - 
       (4*t[18])/3 - t[19] - 5*t[20] + 4*t[21] + t[22]/3 - (20*t[23])/3 - 
       t[24]/3 - (17*t[27])/3 + (17*t[29])/3 - (23*t[30])/3 - 4*t[31] + 
       (44*t[32])/3 + 2*t[33] - (38*t[34])/3 - 2*t[36] + 5*t[39] - 
       (20*t[40])/3 + (8*t[41])/3 - (11*t[42])/6 - (23*t[43])/12 - 
       (29*t[44])/6 + 10*t[45] - (5*t[46])/6 - (11*t[47])/6 + (89*t[48])/4 + 
       (67*t[49])/24 + (101*t[50])/12 + (59*t[51])/48 + (11*t[52])/12 - 
       (67*t[53])/24 + (85*t[54])/3 + (7*t[55])/6 + (53*t[59])/6 - 
       (59*t[60])/12 + (1865*t[61])/12 - 130*t[62] + (235*t[63])/6 + 
       (155*t[64])/8 + (1615*t[65])/36 - (302*t[66])/9 - t[67]/2 + 
       (5*t[68])/6 + 2*t[69] + (2*t[70])/3 - (2*t[71])/3 + 7*t[72] - 
       (7*t[74])/3 - (97*t[76])/6 - t[77] + (61*t[78])/3 - 4*t[79] + 
       (43*t[80])/3 - 6*t[81] - (5*t[82])/3 + 12*t[83] + (23*t[84])/4 - 
       (55*t[85])/2 + (124*t[86])/3 + 29*t[87] + (203*t[88])/6 - 
       (163*t[89])/8 - (5*t[90])/6 - (16*t[95])/3 - (23*t[96])/3 + 
       (5*t[97])/3 - 104*t[98] + 96*t[99] - 69*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-71*t[1])/4 - (147*t[2])/4 - (2229*t[3])/16 - (2539*t[4])/24 - 
       (15257*t[5])/96 + (1829*t[6])/48 + (665*t[7])/6 + (527*t[8])/2 + 
       (35579*t[9])/96 + (295*t[10])/4 + (7091*t[11])/48 + (6987*t[12])/32 + 
       (135107*t[13])/864 + (42019*t[14])/288 - (51133*t[15])/576 + 5*t[18] - 
       t[19]/3 + 3*t[20] + (11*t[21])/2 + 3*t[22] - (11*t[23])/2 + 4*t[24] + 
       10*t[25] - (11*t[26])/2 + 2*t[27] - 3*t[29] + 3*t[30] - 24*t[31] + 
       t[32] - 4*t[33] + (71*t[34])/2 + 3*t[36] - (2*t[37])/3 - 10*t[38] + 
       4*t[39] - (23*t[40])/2 + (7*t[41])/2 - (5*t[42])/2 - (585*t[43])/16 - 
       8*t[44] - (451*t[45])/8 - (23*t[46])/12 + (2275*t[47])/12 - 
       (107*t[48])/6 + (53*t[49])/3 + (33*t[50])/4 - (569*t[51])/48 - 
       (3*t[52])/4 - (53*t[53])/3 - (13*t[54])/12 + t[58]/2 - (55*t[59])/2 + 
       (125*t[60])/4 + (629*t[61])/6 - (9301*t[62])/24 - (203*t[63])/8 + 
       (8567*t[64])/24 + (11963*t[65])/72 - (27491*t[66])/72 - 9*t[69] - 
       2*t[70] + 2*t[71] - (3*t[72])/2 + 24*t[73] - 74*t[74] - 27*t[75] + 
       (169*t[76])/3 + (19*t[77])/6 - (197*t[78])/6 + 78*t[79] + 
       (1069*t[80])/6 + (76*t[81])/3 + (29*t[82])/6 + 26*t[83] - 
       (31*t[84])/6 + (365*t[85])/12 + 227*t[86] - (703*t[87])/12 - 
       (715*t[88])/24 + (175*t[89])/24 + (5*t[97])/2 + 348*t[98] - 
       318*t[99] - (135*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((4*t[1])/3 + (29*t[2])/12 + (11*t[3])/3 + (469*t[4])/8 + (71*t[5])/4 + 
       (541*t[6])/6 - (4679*t[7])/48 + (4123*t[8])/48 - (5681*t[9])/48 - 
       (2029*t[10])/48 - (117*t[11])/2 - (467*t[12])/8 - (2105*t[13])/108 - 
       (2543*t[14])/72 + (5753*t[15])/288 - (14*t[18])/3 - (17*t[21])/3 + 
       14*t[22] + (17*t[23])/3 - 8*t[24] + (26*t[25])/3 - (29*t[26])/6 - 
       (26*t[27])/3 + 3*t[28] - t[29] - 4*t[30] + (4*t[31])/3 - 
       (235*t[34])/6 + 9*t[36] + t[37] + (16*t[38])/3 + 4*t[39] + 
       (17*t[40])/6 - (3*t[41])/2 - (5*t[42])/6 + (23*t[43])/48 - 
       (10*t[44])/3 + (701*t[45])/24 - (4*t[46])/3 - (575*t[47])/12 + 
       (289*t[48])/6 - (33*t[49])/2 - (46*t[50])/3 + (16*t[51])/3 + 
       (143*t[52])/6 + (33*t[53])/2 + (149*t[54])/6 + (3*t[58])/2 - 2*t[59] - 
       (185*t[60])/6 - (53*t[61])/12 + (7361*t[62])/24 - (2437*t[63])/24 - 
       (415*t[64])/8 - (577*t[65])/9 + (1442*t[66])/9 + 2*t[69] + 
       (28*t[70])/3 - (28*t[71])/3 - (16*t[72])/3 + 12*t[73] + (46*t[74])/3 - 
       10*t[75] - (157*t[76])/3 - (17*t[77])/3 + (100*t[78])/3 + 16*t[79] - 
       (791*t[80])/6 - 27*t[81] - 33*t[82] - (185*t[83])/3 + (115*t[84])/3 - 
       56*t[85] - (345*t[86])/2 + (209*t[87])/3 + (209*t[88])/6 + 
       (559*t[89])/12 - (23*t[97])/3 - 296*t[98] + 332*t[99] - 66*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-25*t[1])/12 - (613*t[2])/144 - (7105*t[3])/576 + (347*t[4])/36 - 
       (16181*t[5])/1152 - (209*t[6])/36 + (1301*t[7])/96 - (203*t[8])/8 + 
       (58427*t[9])/1152 + (1423*t[10])/288 + (5351*t[11])/576 + 
       (3305*t[12])/1152 + (8423*t[13])/864 + (134047*t[14])/3456 + 
       (19439*t[15])/6912 + (5*t[16])/8 + (10*t[18])/9 - (5*t[20])/18 + 
       (10*t[21])/9 - (55*t[22])/18 - (10*t[23])/9 + (35*t[24])/18 + 
       (13*t[25])/9 - (67*t[26])/18 + t[27]/6 + t[28] - (5*t[29])/9 + 
       (19*t[30])/12 + (47*t[31])/9 - (23*t[32])/18 + t[33] + 
       (241*t[34])/36 + 3*t[35] + (5*t[36])/12 - (35*t[38])/36 + 
       (17*t[40])/9 - (29*t[41])/36 + (49*t[42])/36 - (125*t[43])/192 - 
       (23*t[44])/18 - (389*t[45])/144 - (53*t[46])/18 + (13*t[47])/8 - 
       (1259*t[48])/144 + (1051*t[49])/288 - (391*t[50])/144 + 
       (1441*t[51])/576 - (143*t[52])/48 - (1195*t[53])/288 + 5*t[54] - 
       (4*t[58])/9 - (167*t[59])/72 + (1753*t[60])/24 + (7831*t[61])/96 - 
       (13775*t[62])/576 + (3247*t[63])/64 - (65321*t[64])/576 - 
       (3325*t[65])/288 - (17923*t[66])/288 - (5*t[68])/8 - (7*t[69])/6 + 
       (29*t[70])/18 - (29*t[71])/18 + (61*t[72])/18 - (21*t[73])/4 - 
       (14*t[74])/3 + (33*t[75])/4 + (103*t[76])/18 - (23*t[77])/9 + 
       (515*t[78])/72 - (61*t[79])/4 + (137*t[80])/72 + (601*t[81])/72 + 
       (11*t[82])/18 + (8*t[83])/3 + (857*t[84])/144 + (1289*t[85])/144 - 
       (353*t[86])/16 - (989*t[87])/16 - (989*t[88])/32 - (3877*t[89])/288 + 
       (3*t[90])/8 + t[93] + (61*t[97])/36 + (106*t[98])/3 - 4*t[99] - 
       (385*t[100])/6) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*
      (-8*t[1] - 75*t[2] - 5*t[3] + 118*t[4] - (19*t[5])/2 - 42*t[6] - 
       34*t[7] - 172*t[8] + (25*t[9])/2 - 398*t[10] + 78*t[11] + 
       (59*t[12])/2 + (701*t[13])/9 + (182*t[14])/3 - (659*t[15])/12 + 
       24*t[31] + 2*t[43] - 44*t[46] - 12*t[48] + 91*t[49] - 12*t[50] - 
       (25*t[51])/2 + 12*t[52] - 91*t[53] - 160*t[54] - 2*t[59] + 228*t[60] + 
       52*t[61] + 176*t[62] + 51*t[63] - 100*t[64] - (431*t[65])/3 - 
       (71*t[66])/3 + 4*t[67] + 4*t[69] - 20*t[70] + 20*t[71] - 88*t[74] - 
       204*t[79] + 16*t[80] + 50*t[81] - 50*t[82] - 12*t[83] - t[84] + 
       196*t[85] + 52*t[86] - 218*t[87] - 109*t[88] + t[89] - 60*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*(-78*t[2] + 2*t[3] + 
       124*t[4] - (153*t[5])/2 + 263*t[6] + 158*t[7] + 273*t[8] + 
       (259*t[9])/2 - 252*t[10] - 21*t[11] + (7*t[12])/2 + (458*t[13])/9 + 
       (359*t[14])/6 + (529*t[15])/12 - 6*t[17] + 20*t[21] - 16*t[23] + 
       12*t[24] + 108*t[31] - 4*t[41] + 4*t[42] - 164*t[45] + 188*t[47] - 
       92*t[48] + 12*t[49] - 92*t[50] - 6*t[51] + 92*t[52] - 12*t[53] + 
       56*t[54] - 2*t[59] + 228*t[60] + 52*t[61] + 176*t[62] + 51*t[63] - 
       100*t[64] - (431*t[65])/3 - (71*t[66])/3 + 4*t[67] + 4*t[69] - 
       20*t[70] + 20*t[71] - 88*t[74] - 204*t[79] + 16*t[80] + 50*t[81] - 
       50*t[82] - 12*t[83] - t[84] + 196*t[85] + 52*t[86] - 218*t[87] - 
       109*t[88] + t[89] - 60*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*(21*t[1] + (3*t[2])/2 + 4*t[3] + 
       (121*t[4])/2 + (105*t[5])/4 + (7*t[6])/2 - 29*t[7] - (211*t[8])/2 - 
       (19*t[9])/4 - (255*t[10])/4 + (59*t[11])/2 - 90*t[12] + 
       (131*t[13])/18 - (469*t[14])/24 + (121*t[15])/24 - 3*t[16] + 4*t[25] - 
       32*t[26] + 8*t[31] - 6*t[36] + 28*t[38] + 10*t[40] + 8*t[43] + 
       6*t[45] - 10*t[46] - 12*t[47] - (41*t[48])/2 + (145*t[49])/4 - 
       (9*t[50])/2 + (79*t[51])/8 + (9*t[52])/2 - (145*t[53])/4 - 46*t[54] - 
       23*t[59] + 95*t[60] - (239*t[61])/2 + (269*t[62])/2 - (241*t[63])/2 - 
       (117*t[64])/4 + (10*t[65])/3 + (88*t[66])/3 + 4*t[67] + 3*t[68] - 
       4*t[69] + 4*t[70] - 4*t[71] - 28*t[72] + 8*t[74] + 64*t[76] + 
       4*t[77] - 80*t[78] + 8*t[80] + 20*t[81] - 60*t[82] + 3*t[84] + 
       71*t[85] + 12*t[86] - 93*t[87] - (93*t[88])/2 + (317*t[89])/4 + 
       3*t[90] + 384*t[98] - 480*t[99] - 60*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*(46*t[2] - 9*t[3] + 
       73*t[4] - (153*t[5])/2 + 46*t[6] - 64*t[7] + 158*t[8] + (97*t[9])/2 + 
       (25*t[10])/2 - 20*t[11] - 41*t[12] - (113*t[13])/9 + (135*t[14])/4 - 
       (169*t[15])/4 - 4*t[20] - 4*t[21] - 4*t[27] + 28*t[32] - 32*t[33] + 
       6*t[34] + 32*t[39] - 20*t[40] - 8*t[41] + 7*t[42] - 3*t[43] - 
       16*t[44] - 16*t[45] - 4*t[46] + 40*t[47] + 5*t[48] + (51*t[49])/2 - 
       27*t[50] - (39*t[51])/4 + 23*t[52] - (51*t[53])/2 + 14*t[54] - 
       23*t[59] + 95*t[60] - (239*t[61])/2 + (269*t[62])/2 - (241*t[63])/2 - 
       (117*t[64])/4 + (10*t[65])/3 + (88*t[66])/3 + 4*t[67] + 3*t[68] - 
       4*t[69] + 4*t[70] - 4*t[71] - 28*t[72] + 8*t[74] + 64*t[76] + 
       4*t[77] - 80*t[78] + 8*t[80] + 20*t[81] - 60*t[82] + 3*t[84] + 
       71*t[85] + 12*t[86] - 93*t[87] - (93*t[88])/2 + (317*t[89])/4 + 
       3*t[90] + 384*t[98] - 480*t[99] - 60*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (-t[1]/3 + (25*t[2])/12 - (35*t[3])/6 + (31*t[4])/4 - (14*t[5])/3 + 
       (19*t[6])/2 + (49*t[7])/8 + (797*t[8])/24 - (43*t[9])/24 - 
       (383*t[10])/12 + (697*t[11])/24 - (113*t[12])/24 + (9023*t[13])/432 + 
       (289*t[14])/48 + (137*t[15])/48 + (2*t[18])/3 + (4*t[20])/3 + 
       (2*t[21])/3 - (10*t[22])/3 - (2*t[23])/3 + (2*t[24])/3 + (8*t[25])/3 - 
       (4*t[26])/3 - 2*t[27] + (2*t[29])/3 + 2*t[30] - (8*t[31])/3 + 
       t[32]/3 + t[33] - (4*t[34])/3 + 2*t[36] - t[37] + t[38]/6 - t[39] - 
       (7*t[40])/6 + (13*t[41])/6 - (11*t[42])/6 + (19*t[43])/24 - 
       (2*t[44])/3 - (19*t[45])/12 - t[46]/6 + 2*t[47] + (205*t[48])/24 + 
       (5*t[49])/8 - t[50]/8 - (5*t[51])/48 + (59*t[52])/24 - (5*t[53])/8 + 
       (85*t[54])/24 + t[58]/3 - (5*t[59])/4 + (107*t[60])/12 + 
       (557*t[61])/12 - (115*t[62])/8 - (297*t[63])/8 + (395*t[64])/8 + 
       (695*t[65])/36 - (1871*t[66])/36 - (4*t[70])/3 + (4*t[71])/3 - 
       (2*t[72])/3 + 4*t[73] - 4*t[75] - (11*t[76])/3 - (16*t[77])/3 + 
       (25*t[78])/6 + (41*t[80])/3 - t[81]/6 - (41*t[82])/6 + t[83]/3 + 
       (91*t[84])/12 - (119*t[85])/12 + (76*t[86])/3 + (125*t[87])/12 + 
       (125*t[88])/24 + (355*t[89])/24 - (5*t[97])/6 - 16*t[98] + 36*t[99] - 
       60*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((35*t[1])/12 - (3*t[2])/4 - (43*t[3])/6 - 
       4*t[4] + (5*t[5])/3 + (211*t[6])/24 + (59*t[7])/8 + (213*t[8])/8 + 
       (223*t[9])/24 - (255*t[10])/8 + 18*t[11] - (19*t[12])/6 + 
       (7103*t[13])/432 + (707*t[14])/72 + (253*t[15])/144 + (2*t[18])/3 + 
       t[19] - t[20]/3 + (5*t[21])/3 + (4*t[22])/3 - (5*t[23])/3 - 
       (2*t[24])/3 + 2*t[25] - 2*t[26] - (8*t[27])/3 - (8*t[29])/3 - 
       2*t[30] - (4*t[32])/3 - (29*t[34])/6 + 2*t[36] - t[37] + (7*t[38])/6 + 
       3*t[40] - (19*t[41])/12 + (23*t[42])/12 + (37*t[43])/24 - 
       (5*t[44])/3 - (23*t[45])/12 + t[46]/2 + (29*t[47])/2 + (11*t[48])/2 - 
       (16*t[49])/3 - (8*t[50])/3 + (79*t[51])/24 - (7*t[52])/6 + 
       (16*t[53])/3 + (16*t[54])/3 + (2*t[58])/3 - (5*t[59])/4 + 
       (107*t[60])/12 + (557*t[61])/12 - (115*t[62])/8 - (297*t[63])/8 + 
       (395*t[64])/8 + (695*t[65])/36 - (1871*t[66])/36 - (4*t[70])/3 + 
       (4*t[71])/3 - (2*t[72])/3 + 4*t[73] - 4*t[75] - (11*t[76])/3 - 
       (16*t[77])/3 + (25*t[78])/6 + (41*t[80])/3 - t[81]/6 - (41*t[82])/6 + 
       t[83]/3 + (91*t[84])/12 - (119*t[85])/12 + (76*t[86])/3 + 
       (125*t[87])/12 + (125*t[88])/24 + (355*t[89])/24 - (5*t[97])/6 - 
       16*t[98] + 36*t[99] - 60*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-67*t[1])/12 + 
       (61*t[2])/12 + (317*t[3])/48 + (171*t[4])/8 + (1985*t[5])/96 + 
       41*t[6] - (1489*t[7])/16 + (2917*t[8])/48 - (12421*t[9])/96 + 
       (749*t[10])/24 - (1487*t[11])/24 - (4355*t[12])/96 - 
       (18737*t[13])/864 - (493*t[14])/16 + (13147*t[15])/576 - 
       (13*t[18])/3 + (10*t[20])/3 - (13*t[21])/3 + (29*t[22])/3 + 
       (13*t[23])/3 - (13*t[24])/3 + (11*t[25])/3 - (4*t[26])/3 - t[27] + 
       (5*t[29])/3 + 5*t[30] - (5*t[31])/3 + (10*t[32])/3 + 2*t[33] - 
       (61*t[34])/3 + 3*t[36] + (7*t[38])/6 - 2*t[39] + (4*t[40])/3 - 
       (13*t[41])/12 - (13*t[42])/12 + (19*t[43])/24 - (31*t[44])/6 + 
       (547*t[45])/24 + t[46]/12 - (197*t[47])/4 + (917*t[48])/48 + 
       (21*t[49])/16 - (177*t[50])/16 - (205*t[51])/96 + (931*t[52])/48 - 
       (21*t[53])/16 + (365*t[54])/48 - (7*t[58])/6 - (5*t[59])/2 - 
       (163*t[60])/3 - (1919*t[61])/24 + (2125*t[62])/16 - (381*t[63])/16 - 
       (329*t[64])/16 - (5741*t[65])/72 + (9959*t[66])/72 + (26*t[70])/3 - 
       (26*t[71])/3 - (2*t[72])/3 + 6*t[73] + 8*t[74] - 6*t[75] - 
       (74*t[76])/3 - (31*t[77])/3 + (38*t[78])/3 - (437*t[80])/6 - 
       (35*t[81])/3 - (43*t[82])/3 - (20*t[83])/3 + (4*t[84])/3 - 
       (169*t[85])/6 - (497*t[86])/12 + (331*t[87])/6 + (331*t[88])/12 - 
       (17*t[89])/6 - (4*t[97])/3 - 124*t[98] + 138*t[99] - 60*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-25*t[1])/12 + (29*t[2])/4 + (475*t[3])/48 + (241*t[4])/8 - 
       (1661*t[5])/96 + (1067*t[6])/48 - (335*t[7])/8 - (23*t[8])/2 - 
       (2033*t[9])/96 - (119*t[10])/16 - (111*t[11])/2 - (2593*t[12])/96 - 
       (3901*t[13])/108 - (5723*t[14])/144 - (189*t[15])/64 - (13*t[18])/3 - 
       (4*t[20])/3 - (13*t[21])/3 + t[22]/3 + (13*t[23])/3 - (17*t[24])/3 + 
       t[25] - (11*t[27])/3 - (5*t[29])/3 - 5*t[30] + (2*t[32])/3 - 2*t[33] - 
       (61*t[34])/3 + 3*t[36] + (7*t[38])/6 + 2*t[39] + 4*t[40] - 
       (55*t[41])/12 + (29*t[42])/12 - (43*t[43])/48 + (17*t[44])/6 + 
       (97*t[45])/12 + t[46]/4 - (33*t[47])/2 + (205*t[48])/16 - 
       (415*t[49])/48 + (31*t[50])/48 + (325*t[51])/96 + (49*t[52])/48 + 
       (415*t[53])/48 - (41*t[54])/48 + t[58]/6 - (5*t[59])/2 - 
       (163*t[60])/3 - (1919*t[61])/24 + (2125*t[62])/16 - (381*t[63])/16 - 
       (329*t[64])/16 - (5741*t[65])/72 + (9959*t[66])/72 + (26*t[70])/3 - 
       (26*t[71])/3 - (2*t[72])/3 + 6*t[73] + 8*t[74] - 6*t[75] - 
       (74*t[76])/3 - (31*t[77])/3 + (38*t[78])/3 - (437*t[80])/6 - 
       (35*t[81])/3 - (43*t[82])/3 - (20*t[83])/3 + (4*t[84])/3 - 
       (169*t[85])/6 - (497*t[86])/12 + (331*t[87])/6 + (331*t[88])/12 - 
       (17*t[89])/6 - (4*t[97])/3 - 124*t[98] + 138*t[99] - 60*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((19*t[1])/4 + (769*t[2])/72 + (935*t[3])/576 + (38*t[4])/9 - 
       (20633*t[5])/1152 - (11777*t[6])/288 + (5077*t[7])/96 - 
       (901*t[8])/36 + (8207*t[9])/128 - (13033*t[10])/288 + 
       (38689*t[11])/576 + (359*t[12])/384 + (22705*t[13])/648 + 
       (9443*t[14])/384 - (58501*t[15])/6912 + (83*t[18])/36 - t[20]/6 + 
       (14*t[21])/3 - (29*t[22])/3 - (97*t[23])/18 + (23*t[24])/18 - 
       (7*t[25])/6 - (25*t[26])/12 - (11*t[27])/6 - t[28] + t[29]/4 - 
       (19*t[30])/12 + (19*t[31])/36 - (3*t[32])/2 + t[33]/3 + (20*t[34])/3 - 
       2*t[35] - (3*t[36])/4 - 2*t[37] + (17*t[38])/6 - t[39]/3 + 
       (3*t[40])/2 + (59*t[41])/36 - (19*t[42])/9 + (163*t[43])/192 + 
       (23*t[44])/6 - (73*t[45])/9 + (19*t[46])/24 + (755*t[47])/36 - 
       (3263*t[48])/288 + (1291*t[49])/288 + (761*t[50])/288 + 
       (935*t[51])/576 - (3401*t[52])/288 - (1291*t[53])/288 - 
       (399*t[54])/32 + (7*t[58])/12 - (11*t[59])/9 + (943*t[60])/18 + 
       (23191*t[61])/288 - (70619*t[62])/576 - (6983*t[63])/192 + 
       (11695*t[64])/576 + (35851*t[65])/864 - (140941*t[66])/864 - 
       (14*t[69])/3 - 4*t[70] + 4*t[71] - t[72]/2 - (4*t[73])/3 - 
       (5*t[74])/2 - (7*t[75])/6 + (91*t[76])/6 + (11*t[77])/12 - 
       (77*t[78])/12 - (20*t[79])/3 + (1811*t[80])/24 + (23*t[81])/3 - 
       (17*t[82])/12 + (371*t[83])/18 + (17*t[84])/6 + (83*t[85])/8 + 
       (11089*t[86])/144 - (1943*t[87])/72 - (1835*t[88])/144 + 
       (23*t[89])/4 + t[97] + 81*t[98] - 63*t[99] - (173*t[100])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]^2*(4*t[2] - (7*t[3])/2 + 7*t[4] - 
       (111*t[5])/8 - t[6]/4 + 16*t[7] + (77*t[8])/4 + (257*t[9])/8 - 
       (67*t[10])/2 + (107*t[11])/4 + (137*t[12])/8 + (173*t[13])/18 - 
       (5*t[14])/6 - (613*t[15])/48 - t[17]/2 + (2*t[19])/3 + 7*t[21] - 
       8*t[23] + 5*t[24] - 7*t[31] - 2*t[37] + 7*t[41] - 7*t[42] - 19*t[45] + 
       45*t[47] + (13*t[48])/2 - (5*t[49])/2 - (7*t[50])/2 + (23*t[51])/8 + 
       (7*t[52])/2 + (5*t[53])/2 + (17*t[54])/2 + (13*t[59])/2 + 3*t[60] + 
       (113*t[61])/2 - (145*t[62])/4 - (79*t[63])/2 + (407*t[64])/4 + 
       (57*t[65])/4 - (353*t[66])/12 + t[67] - t[69] - 7*t[70] + 7*t[71] + 
       9*t[79] + 36*t[80] + (11*t[81])/2 - (11*t[82])/2 - 11*t[83] + 
       (17*t[84])/4 - 10*t[85] + 37*t[86] + (11*t[87])/2 + (11*t[88])/4 + 
       (41*t[89])/4 - 57*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]^2*
      (8*t[1] - (21*t[2])/4 - (21*t[3])/4 - (45*t[4])/2 + (219*t[5])/8 + 
       (33*t[6])/2 - 5*t[7] + (73*t[8])/2 - (165*t[9])/8 - (29*t[10])/2 + 
       (53*t[11])/2 - (95*t[12])/8 + (367*t[13])/36 + 15*t[14] + 
       (679*t[15])/48 + 3*t[29] - 6*t[31] - 8*t[35] + (21*t[43])/2 - 
       (13*t[44])/2 + 13*t[48] - (21*t[49])/4 - 6*t[50] + (21*t[51])/8 + 
       6*t[52] + (21*t[53])/4 + 11*t[54] + (13*t[59])/2 + 3*t[60] + 
       (113*t[61])/2 - (145*t[62])/4 - (79*t[63])/2 + (407*t[64])/4 + 
       (57*t[65])/4 - (353*t[66])/12 + t[67] - t[69] - 7*t[70] + 7*t[71] + 
       9*t[79] + 36*t[80] + (11*t[81])/2 - (11*t[82])/2 - 11*t[83] + 
       (17*t[84])/4 - 10*t[85] + 37*t[86] + (11*t[87])/2 + (11*t[88])/4 + 
       (41*t[89])/4 - 57*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((41*t[1])/8 + (117*t[2])/8 - (201*t[3])/8 + 
       (567*t[4])/8 - 167*t[5] - (225*t[6])/16 + (881*t[7])/4 - (89*t[8])/2 + 
       (2619*t[9])/8 - (2699*t[10])/16 + (2925*t[11])/16 + (1483*t[12])/16 + 
       (1885*t[13])/48 + (16297*t[14])/96 - (3343*t[15])/48 + 3*t[18] + 
       6*t[21] - 30*t[22] - 6*t[23] + 6*t[24] + 6*t[25] - (21*t[26])/4 + 
       6*t[29] + 15*t[31] + (27*t[32])/2 - (39*t[33])/2 + (177*t[34])/4 + 
       16*t[35] - 6*t[36] + 10*t[37] - (15*t[38])/2 + (39*t[39])/2 - 
       31*t[40] + (63*t[41])/8 - (69*t[42])/8 - (43*t[43])/4 + 3*t[44] - 
       (93*t[45])/2 - (15*t[46])/2 + (327*t[47])/4 - (579*t[48])/16 + 
       (507*t[49])/16 + (341*t[50])/16 - (567*t[51])/32 - (17*t[52])/16 - 
       (507*t[53])/16 - (415*t[54])/16 + (3*t[58])/4 + (37*t[59])/8 + 
       (1409*t[60])/8 + (2989*t[61])/8 - (4551*t[62])/16 + (3703*t[63])/16 - 
       (561*t[64])/16 - (107*t[65])/6 - (1765*t[66])/4 + (11*t[67])/4 + 
       6*t[69] - 24*t[70] + (47*t[71])/2 + 6*t[72] - 12*t[73] - 
       (63*t[74])/2 + 15*t[75] + (63*t[76])/2 + 24*t[77] - (69*t[78])/4 - 
       36*t[79] + (129*t[80])/2 + 22*t[81] - (11*t[82])/2 + (3*t[83])/2 + 
       (9*t[84])/4 + (717*t[85])/8 + (47*t[86])/2 - (1373*t[87])/8 - 
       (1373*t[88])/16 - (829*t[89])/16 - (3*t[94])/2 + (9*t[97])/4 + 
       162*t[98] - 174*t[99] - 57*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*((3*t[1])/4 - (61*t[2])/8 - (779*t[3])/16 + 
       (699*t[4])/16 - (2257*t[5])/32 + (335*t[6])/8 + (59*t[7])/8 + 
       (2023*t[8])/16 + (2049*t[9])/32 + (355*t[10])/32 - (45*t[11])/16 + 
       (9*t[12])/2 + (659*t[13])/48 + (4213*t[14])/64 - (851*t[15])/576 - 
       (9*t[22])/2 + t[24] + (3*t[27])/4 - 2*t[28] + (13*t[29])/4 - 
       (27*t[30])/4 - t[31] - t[32]/4 + t[33]/2 + (5*t[34])/2 + 3*t[35] - 
       t[38] + t[39] + (5*t[40])/8 + (7*t[41])/4 - (7*t[42])/4 + t[43]/16 - 
       (27*t[44])/2 - 9*t[45] + (3*t[46])/8 + (21*t[47])/2 + (435*t[48])/16 + 
       (703*t[49])/32 - (207*t[50])/16 - (729*t[51])/64 + (223*t[52])/16 - 
       (575*t[53])/32 + (67*t[54])/2 - t[56]/4 - t[57] + 5*t[59] + 
       (615*t[60])/16 + (909*t[61])/16 - (799*t[62])/32 - (433*t[63])/32 - 
       (1339*t[64])/32 + (2845*t[65])/48 - (1369*t[66])/48 - t[68] + t[70] - 
       t[71] + t[72]/2 + 8*t[73] - (11*t[74])/2 - 6*t[75] + (65*t[76])/4 + 
       (5*t[77])/2 - (33*t[78])/2 - 18*t[79] + 11*t[80] + (95*t[81])/4 - 
       19*t[82] + (17*t[83])/2 + (135*t[84])/16 + (209*t[85])/16 + 
       (83*t[86])/4 - (473*t[87])/16 - (345*t[88])/32 + (2005*t[89])/32 - 
       t[95] + 5*t[96] + (9*t[97])/2 + 36*t[98] - 36*t[99] - 57*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*(-4*t[1] - (23*t[2])/4 - 
       (197*t[3])/16 + (247*t[4])/8 - (387*t[5])/32 - (201*t[6])/32 + 
       (369*t[7])/16 + (39*t[8])/8 + (967*t[9])/32 + (559*t[10])/8 - 
       (835*t[11])/32 - (487*t[12])/32 + (6541*t[13])/288 + (407*t[14])/96 + 
       (2035*t[15])/192 + 3*t[25] + (3*t[26])/2 - (3*t[27])/4 + 7*t[28] + 
       3*t[29] - 2*t[30] + (7*t[31])/2 + 2*t[32] - 2*t[33] - t[34] + t[35] + 
       (11*t[36])/2 - 2*t[37] - (9*t[38])/2 + 8*t[39] - (9*t[40])/2 + 
       t[41]/2 - t[42]/2 + (27*t[43])/8 - (9*t[44])/2 + (31*t[45])/8 - 
       (3*t[46])/8 - (23*t[47])/4 - (179*t[48])/32 + (115*t[49])/8 - 
       (339*t[50])/32 - (111*t[51])/32 + (147*t[52])/32 - (89*t[53])/8 - 
       (553*t[54])/32 - t[58] + 5*t[59] + (615*t[60])/16 + (909*t[61])/16 - 
       (799*t[62])/32 - (433*t[63])/32 - (1339*t[64])/32 + (2845*t[65])/48 - 
       (1369*t[66])/48 - t[68] + t[70] - t[71] + t[72]/2 + 8*t[73] - 
       (11*t[74])/2 - 6*t[75] + (65*t[76])/4 + (5*t[77])/2 - (33*t[78])/2 - 
       18*t[79] + 11*t[80] + (95*t[81])/4 - 19*t[82] + (17*t[83])/2 + 
       (135*t[84])/16 + (209*t[85])/16 + (83*t[86])/4 - (473*t[87])/16 - 
       (345*t[88])/32 + (2005*t[89])/32 - t[95] + 5*t[96] + (9*t[97])/2 + 
       36*t[98] - 36*t[99] - 57*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*(-t[1] + (11*t[2])/8 - 
       (267*t[3])/32 + (181*t[4])/16 - (483*t[5])/64 + (25*t[6])/2 + 
       (653*t[7])/32 + (245*t[8])/32 + (1255*t[9])/64 - (17*t[10])/16 + 
       (285*t[11])/16 + (201*t[12])/64 + (9275*t[13])/576 + (1885*t[14])/96 + 
       (725*t[15])/1152 + t[18]/2 + t[20] + t[21]/2 - (3*t[22])/2 - t[23]/2 + 
       2*t[24] + (3*t[25])/2 - (5*t[26])/4 - (3*t[27])/2 + t[28]/2 - 
       (3*t[29])/2 + t[31] + t[32]/2 + t[33]/2 + (9*t[34])/4 - t[36]/2 - 
       t[38]/2 - (7*t[40])/4 + (3*t[41])/4 - t[42]/2 - (23*t[43])/16 - 
       (3*t[44])/4 + (3*t[45])/16 - (25*t[46])/8 - (17*t[47])/8 - 
       (39*t[48])/32 + (155*t[49])/32 + (145*t[50])/32 - (21*t[51])/64 - 
       (105*t[52])/32 - (155*t[53])/32 + t[54]/32 + t[59] + (109*t[60])/4 + 
       (1033*t[61])/16 - (671*t[62])/32 + (423*t[63])/32 - (1371*t[64])/32 - 
       (43*t[65])/48 - (2281*t[66])/48 + t[69] + t[70] - t[71] + t[72]/2 - 
       t[73] - t[74] + t[75] + t[76]/4 + t[77]/2 + 3*t[78] - (35*t[80])/4 + 
       (13*t[81])/4 - 5*t[82] + t[83] + (49*t[84])/8 + (9*t[85])/8 - 
       (57*t[86])/8 - (139*t[87])/8 - (139*t[88])/16 - (23*t[89])/8 + 
       15*t[99] - 57*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((-33*t[1])/4 + 
       (251*t[2])/12 + (43*t[3])/2 - (353*t[4])/12 + (125*t[5])/4 - 
       (1727*t[6])/24 + (281*t[7])/8 - (389*t[8])/8 - (151*t[9])/8 - 
       (435*t[10])/8 + (531*t[11])/4 + 28*t[12] + (32687*t[13])/432 - 
       (4699*t[14])/144 + (691*t[15])/16 - (5*t[17])/6 - (16*t[19])/3 + 
       2*t[20] - 5*t[21] - (19*t[22])/3 + 5*t[23] + 6*t[24] - 3*t[25] + 
       (25*t[26])/6 + (32*t[27])/3 - 12*t[28] - t[29] + 8*t[30] - 12*t[31] + 
       (5*t[32])/3 + (11*t[33])/3 + (119*t[34])/6 - t[35] - 7*t[36] - 
       (2*t[37])/3 - (43*t[38])/6 - (41*t[39])/3 + (29*t[40])/6 - 
       (41*t[41])/12 + (41*t[42])/12 + (271*t[43])/24 + t[44] - 
       (191*t[45])/12 + (16*t[46])/3 - (37*t[47])/6 - (397*t[48])/12 + 
       (19*t[49])/2 + (313*t[50])/12 + (253*t[51])/48 - (133*t[52])/4 - 
       (37*t[53])/6 - (87*t[54])/2 - t[56]/3 + (4*t[57])/3 - (9*t[58])/2 + 
       (47*t[59])/6 - (595*t[60])/12 + (73*t[61])/2 - (863*t[62])/6 + 
       (389*t[63])/6 - (839*t[64])/12 - (160*t[65])/9 - 173*t[66] - t[67]/3 + 
       (10*t[68])/3 - 2*t[69] - 2*t[70] + 2*t[71] + 5*t[72] - 14*t[73] - 
       t[74]/3 + 6*t[75] + (69*t[76])/2 - t[77]/6 - (75*t[78])/2 - 23*t[79] + 
       (485*t[80])/3 + (35*t[81])/3 + (46*t[82])/3 + 85*t[83] - 23*t[84] + 
       (100*t[85])/3 + 125*t[86] - 37*t[87] - (167*t[88])/6 - 
       (2111*t[89])/24 + t[94]/3 + 2*t[95] + 2*t[96] + (13*t[97])/3 + 
       140*t[98] - 112*t[99] - 56*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((-83*t[1])/12 + (89*t[2])/4 + 
       (81*t[3])/8 - (83*t[4])/12 - (941*t[5])/12 - (67*t[6])/12 + 
       (235*t[7])/8 - (253*t[8])/24 + (3713*t[9])/24 - (109*t[10])/2 + 
       (75*t[11])/8 + (491*t[12])/8 - (1237*t[13])/432 + (8959*t[14])/144 - 
       (635*t[15])/24 - (7*t[16])/6 - t[17]/6 + (4*t[18])/3 + 6*t[19] - 
       6*t[20] + 2*t[21] - (22*t[22])/3 - (8*t[23])/3 + (2*t[24])/3 - 
       7*t[25] + (13*t[26])/3 + t[27]/3 + 2*t[28] - (32*t[29])/3 - 
       (25*t[30])/2 + 7*t[31] - 16*t[32] + (35*t[33])/6 + (155*t[34])/6 + 
       t[35] - (7*t[36])/3 - 9*t[37] - (15*t[38])/2 + (65*t[39])/6 - 
       (40*t[40])/3 + t[41]/4 + t[42]/12 + (151*t[43])/24 - (43*t[44])/4 - 
       (205*t[45])/4 + (17*t[46])/3 + (425*t[47])/6 - (803*t[48])/24 + 
       (145*t[49])/24 - (197*t[50])/8 - (181*t[51])/48 + (209*t[52])/8 - 
       (145*t[53])/24 + (415*t[54])/24 - t[58]/3 + (47*t[59])/6 - 
       (595*t[60])/12 + (73*t[61])/2 - (863*t[62])/6 + (389*t[63])/6 - 
       (839*t[64])/12 - (160*t[65])/9 - 173*t[66] - t[67]/3 + (10*t[68])/3 - 
       2*t[69] - 2*t[70] + 2*t[71] + 5*t[72] - 14*t[73] - t[74]/3 + 6*t[75] + 
       (69*t[76])/2 - t[77]/6 - (75*t[78])/2 - 23*t[79] + (485*t[80])/3 + 
       (35*t[81])/3 + (46*t[82])/3 + 85*t[83] - 23*t[84] + (100*t[85])/3 + 
       125*t[86] - 37*t[87] - (167*t[88])/6 - (2111*t[89])/24 + t[94]/3 + 
       2*t[95] + 2*t[96] + (13*t[97])/3 + 140*t[98] - 112*t[99] - 
       56*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*((27*t[1])/4 + 8*t[2] + (4943*t[3])/48 + 
       (209*t[4])/12 + (851*t[5])/32 - (515*t[6])/4 + (2063*t[7])/24 - 
       (4735*t[8])/24 + (1151*t[9])/32 - (4459*t[10])/24 + (7181*t[11])/48 + 
       (2299*t[12])/96 + (18947*t[13])/216 - (22739*t[14])/288 - 
       (10529*t[15])/192 + 3*t[17] + 4*t[18] + 6*t[20] + (23*t[21])/2 - 
       38*t[22] - (23*t[23])/2 - 2*t[24] - 2*t[25] - 7*t[26] - 10*t[27] - 
       3*t[28] + 2*t[29] - 2*t[30] - 3*t[31] - (19*t[32])/3 + (13*t[33])/3 + 
       20*t[34] - 12*t[35] + 3*t[36] - 3*t[37] + 5*t[38] - (13*t[39])/3 + 
       (7*t[40])/3 - (11*t[41])/4 + 5*t[42] + (61*t[43])/16 + 23*t[44] + 
       (1463*t[45])/24 - (283*t[46])/12 - (977*t[47])/12 - (773*t[48])/24 + 
       (499*t[49])/12 + (337*t[50])/24 - (337*t[51])/48 - (673*t[52])/24 - 
       (499*t[53])/12 - (1037*t[54])/24 - t[58] - 21*t[59] + 31*t[60] + 
       (253*t[61])/3 - (9835*t[62])/24 - (269*t[63])/8 + (8357*t[64])/24 + 
       (12911*t[65])/72 - (24911*t[66])/72 - 9*t[69] - 2*t[70] + 2*t[71] - 
       (3*t[72])/2 + 24*t[73] - 77*t[74] - 27*t[75] + (169*t[76])/3 + 
       (19*t[77])/6 - (197*t[78])/6 + 78*t[79] + (1069*t[80])/6 + 
       (143*t[81])/6 + (19*t[82])/3 + 30*t[83] - (31*t[84])/6 + 
       (151*t[85])/6 + (495*t[86])/2 - (172*t[87])/3 - (175*t[88])/6 + 
       (19*t[89])/6 + (5*t[97])/2 + 348*t[98] - 318*t[99] - (111*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((37*t[1])/12 - (169*t[2])/24 - (249*t[3])/16 - (415*t[4])/24 + 
       (529*t[5])/96 - (301*t[6])/16 + (167*t[7])/16 + (1705*t[8])/48 + 
       (995*t[9])/96 - (917*t[10])/24 + (605*t[11])/48 + (301*t[12])/96 + 
       (18517*t[13])/864 + (319*t[14])/72 - (297*t[15])/64 + t[16] + 
       t[17]/4 + t[18] + 2*t[19] - (8*t[20])/3 + (10*t[21])/3 + (8*t[22])/3 - 
       (14*t[23])/3 - (8*t[24])/3 + (3*t[25])/2 - 2*t[26] - (17*t[27])/6 + 
       t[28] - (10*t[29])/3 - 2*t[30] + (2*t[31])/3 - (14*t[32])/3 + 
       2*t[33] - (55*t[34])/6 + 4*t[35] + 4*t[36] + (7*t[38])/3 - t[39] + 
       9*t[40] + (23*t[41])/12 - (29*t[42])/12 - (127*t[43])/24 - 
       (10*t[44])/3 - (11*t[45])/8 + (3*t[46])/4 + (337*t[47])/12 + 
       (31*t[48])/3 - (661*t[49])/48 - (17*t[50])/3 + (703*t[51])/96 - 
       (9*t[52])/2 + (637*t[53])/48 + (451*t[54])/24 - t[58]/6 + 
       (3*t[59])/4 - (13*t[60])/3 + (781*t[61])/24 - (1555*t[62])/48 - 
       (1247*t[63])/16 + (5825*t[64])/48 + (4393*t[65])/72 - 
       (1663*t[66])/72 - t[67]/2 - 2*t[68] - 2*t[69] - (8*t[70])/3 + 
       (8*t[71])/3 + (20*t[72])/3 + 4*t[73] + 2*t[74] - 4*t[75] - 
       (13*t[76])/3 - (20*t[77])/3 + (17*t[78])/6 - 4*t[79] + (125*t[80])/6 - 
       (16*t[81])/3 - (11*t[82])/3 - (23*t[83])/3 + (121*t[84])/6 - 
       (277*t[85])/12 + (847*t[86])/12 + (215*t[87])/12 + (215*t[88])/24 + 
       (611*t[89])/24 - t[92]/2 + t[93] + t[94]/2 - (7*t[97])/6 - 20*t[98] + 
       40*t[99] - 55*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*(4*t[1] + (247*t[2])/24 - (121*t[3])/16 - 
       (565*t[4])/24 + (967*t[5])/96 + (205*t[6])/24 + (299*t[7])/8 + 
       (979*t[8])/12 - (183*t[9])/32 - (2089*t[10])/48 + (423*t[11])/16 - 
       (2173*t[12])/96 + (8927*t[13])/432 + (875*t[14])/72 + 
       (9247*t[15])/576 + t[16]/2 + t[17]/4 + (4*t[18])/3 + (8*t[20])/3 + 
       (4*t[21])/3 - (11*t[22])/3 - (4*t[23])/3 + t[24]/3 + (23*t[25])/6 - 
       (8*t[26])/3 - (7*t[27])/2 + (4*t[29])/3 + (7*t[30])/2 - (31*t[31])/3 + 
       (5*t[32])/3 - t[33] - (2*t[34])/3 - 4*t[35] + 5*t[36] - 2*t[37] + 
       t[38]/3 + t[39] - (29*t[40])/6 + (7*t[41])/3 - (5*t[42])/3 - 
       (43*t[43])/48 - (5*t[44])/6 - (23*t[45])/12 + (5*t[46])/12 - 
       11*t[47] + (119*t[48])/6 + (25*t[49])/48 + (43*t[50])/3 - 
       (105*t[51])/32 - (26*t[52])/3 - (25*t[53])/48 + (205*t[54])/24 - 
       t[56]/2 + t[58]/6 + (3*t[59])/4 - (13*t[60])/3 + (781*t[61])/24 - 
       (1555*t[62])/48 - (1247*t[63])/16 + (5825*t[64])/48 + 
       (4393*t[65])/72 - (1663*t[66])/72 - t[67]/2 - 2*t[68] - 2*t[69] - 
       (8*t[70])/3 + (8*t[71])/3 + (20*t[72])/3 + 4*t[73] + 2*t[74] - 
       4*t[75] - (13*t[76])/3 - (20*t[77])/3 + (17*t[78])/6 - 4*t[79] + 
       (125*t[80])/6 - (16*t[81])/3 - (11*t[82])/3 - (23*t[83])/3 + 
       (121*t[84])/6 - (277*t[85])/12 + (847*t[86])/12 + (215*t[87])/12 + 
       (215*t[88])/24 + (611*t[89])/24 - t[92]/2 + t[93] + t[94]/2 - 
       (7*t[97])/6 - 20*t[98] + 40*t[99] - 55*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((13*t[1])/6 + 2*t[2] - (71*t[3])/12 - 2*t[4] + (403*t[5])/24 - 
       (13*t[6])/12 + (61*t[7])/4 + t[8]/4 + (217*t[9])/24 - (39*t[10])/4 + 
       (75*t[11])/4 - (259*t[12])/24 + (3187*t[13])/216 + (551*t[14])/72 + 
       (391*t[15])/48 - (4*t[18])/3 - (4*t[20])/3 - (4*t[21])/3 - 
       (2*t[22])/3 + (4*t[23])/3 - (8*t[24])/3 + 2*t[25] - 2*t[26] - 
       (2*t[27])/3 - 2*t[28] - (2*t[29])/3 - 4*t[31] + (2*t[32])/3 - 
       2*t[33] + (5*t[34])/3 - (4*t[38])/3 - t[40] - (11*t[41])/6 + 
       (7*t[42])/6 + (37*t[43])/6 - (2*t[44])/3 - (49*t[45])/6 - t[46] + 
       14*t[47] - 2*t[48] + (17*t[49])/3 + (10*t[50])/3 - (25*t[51])/12 - 
       (5*t[52])/3 - (17*t[53])/3 - (20*t[54])/3 - (4*t[58])/3 + 2*t[59] - 
       (23*t[60])/6 + (56*t[61])/3 - (45*t[62])/2 + (83*t[63])/2 + 33*t[64] - 
       (196*t[65])/9 - (173*t[66])/9 - 2*t[69] + (2*t[70])/3 - (2*t[71])/3 - 
       (8*t[72])/3 + (10*t[76])/3 - (4*t[77])/3 - (4*t[78])/3 + 
       (74*t[80])/3 + (10*t[81])/3 + (2*t[82])/3 + (16*t[83])/3 - 
       (13*t[84])/6 + (17*t[85])/6 + (85*t[86])/3 - (35*t[87])/6 - 
       (35*t[88])/12 - (205*t[89])/12 + (2*t[97])/3 + 32*t[98] - 24*t[99] - 
       54*t[100]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((9*t[1])/4 - (21*t[2])/2 + 3*t[3] + (39*t[4])/2 + (123*t[5])/8 + 
       (213*t[6])/8 - (225*t[7])/4 + (255*t[8])/4 - (603*t[9])/8 + 
       (183*t[10])/4 - (189*t[11])/8 - (189*t[12])/8 - (31*t[13])/6 - 
       (7*t[14])/4 + (251*t[15])/16 + 12*t[22] - 3*t[30] + 3*t[32] - 
       (27*t[34])/2 + 3*t[38] + 3*t[39] + (9*t[40])/2 - (21*t[41])/4 + 
       (21*t[42])/4 - (21*t[43])/2 - 9*t[44] + (57*t[45])/2 - 39*t[47] + 
       (81*t[48])/8 + (3*t[49])/2 - (87*t[50])/8 + (75*t[52])/8 - 
       (3*t[53])/2 - (9*t[54])/8 - 6*t[59] + (3*t[60])/4 - (9*t[61])/4 + 
       30*t[62] - 42*t[63] - (501*t[64])/8 - (11*t[65])/2 + (201*t[66])/4 + 
       9*t[72] - (21*t[76])/2 - 6*t[77] + 6*t[78] - 75*t[80] - (9*t[81])/2 - 
       6*t[82] - 9*t[83] + 3*t[84] - (27*t[85])/2 - 27*t[86] + (27*t[87])/2 + 
       (21*t[88])/4 - (75*t[89])/8 - 72*t[98] + 72*t[99] - 54*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-15*t[1])/4 + (3*t[2])/2 - (3*t[3])/4 + (117*t[4])/4 - 60*t[5] + 
       (87*t[6])/8 + (39*t[7])/4 - (57*t[8])/4 + (183*t[9])/4 + 
       (21*t[10])/8 - (51*t[11])/8 + (213*t[12])/8 - (397*t[13])/24 + 
       (21*t[14])/16 - (59*t[15])/4 + (3*t[26])/2 - 3*t[30] - (3*t[34])/2 + 
       3*t[39] - (3*t[40])/2 + (3*t[41])/4 - (3*t[42])/4 - (69*t[43])/4 + 
       9*t[44] + 6*t[45] - 12*t[47] + (21*t[48])/8 - (63*t[49])/8 + 
       (45*t[50])/8 + (75*t[51])/16 - (9*t[52])/8 + (63*t[53])/8 - 
       (15*t[54])/8 + (3*t[58])/2 - 6*t[59] + (3*t[60])/4 - (9*t[61])/4 + 
       30*t[62] - 42*t[63] - (501*t[64])/8 - (11*t[65])/2 + (201*t[66])/4 + 
       9*t[72] - (21*t[76])/2 - 6*t[77] + 6*t[78] - 75*t[80] - (9*t[81])/2 - 
       6*t[82] - 9*t[83] + 3*t[84] - (27*t[85])/2 - 27*t[86] + (27*t[87])/2 + 
       (21*t[88])/4 - (75*t[89])/8 - 72*t[98] + 72*t[99] - 54*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((31*t[1])/4 + (283*t[2])/48 - (723*t[3])/32 - (1127*t[4])/48 - 
       (1155*t[5])/64 + (27*t[6])/32 + (1427*t[7])/24 + (451*t[8])/12 + 
       (13255*t[9])/192 - (817*t[10])/32 + (1645*t[11])/24 + 
       (4867*t[12])/192 + (3119*t[13])/72 + (463*t[14])/8 + 
       (26633*t[15])/3456 + 3*t[18] + (3*t[20])/2 + (5*t[21])/2 + t[22]/3 - 
       (5*t[23])/2 + 2*t[24] + (5*t[25])/3 - (23*t[26])/12 + t[27]/6 + 
       2*t[28] - (8*t[29])/3 - (13*t[30])/12 - (11*t[31])/3 + (25*t[32])/6 - 
       (11*t[33])/3 + (41*t[34])/4 - (3*t[37])/2 + t[38]/12 + (11*t[39])/3 - 
       (13*t[40])/2 - (19*t[41])/12 + (7*t[42])/3 - (31*t[43])/32 - 
       (9*t[44])/4 - (165*t[45])/16 + (37*t[46])/24 + (755*t[47])/24 - 
       (677*t[48])/96 - (521*t[49])/96 + (273*t[50])/32 + (523*t[51])/192 - 
       (619*t[52])/96 + (521*t[53])/96 - (305*t[54])/96 + (5*t[58])/6 - 
       (19*t[59])/8 + (197*t[60])/6 + (1909*t[61])/16 - (2011*t[62])/16 - 
       (1577*t[63])/48 + (193*t[64])/6 + (3385*t[65])/48 - 
       (23555*t[66])/144 - (11*t[69])/3 - (20*t[70])/3 + (20*t[71])/3 + 
       (4*t[72])/3 + t[73]/4 - (29*t[74])/4 - (9*t[75])/4 + (37*t[76])/3 - 
       (7*t[77])/6 - (29*t[78])/6 - 4*t[79] + (299*t[80])/6 + (28*t[81])/3 - 
       (71*t[82])/12 + 14*t[83] + (37*t[84])/12 + (20*t[85])/3 + 
       (361*t[86])/6 - (37*t[87])/3 - (37*t[88])/6 + (131*t[89])/48 + 
       (11*t[97])/12 + 67*t[98] - 54*t[99] - 49*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-19*t[1])/6 + (33*t[2])/8 + (757*t[3])/192 + (425*t[4])/16 - 
       (4277*t[5])/128 - (181*t[6])/96 + (4435*t[7])/96 - (767*t[8])/48 + 
       (9223*t[9])/128 - (4919*t[10])/96 + (8845*t[11])/192 + 
       (11123*t[12])/384 + (53875*t[13])/1728 - (3515*t[14])/1152 - 
       (199513*t[15])/6912 + (5*t[18])/3 + t[20]/6 + (11*t[21])/3 - 
       (65*t[22])/6 - (11*t[23])/3 + 3*t[24] + (4*t[25])/3 - (5*t[26])/4 - 
       (23*t[27])/6 + 2*t[29] + (13*t[30])/12 + (13*t[31])/12 + (3*t[32])/2 - 
       (7*t[33])/3 + (89*t[34])/12 - (3*t[38])/4 + (7*t[39])/3 - 
       (11*t[40])/3 + (43*t[41])/24 - (5*t[42])/24 - (1097*t[43])/192 - 
       (17*t[44])/12 - (101*t[45])/6 - (35*t[46])/24 + (81*t[47])/2 - 
       (5*t[48])/2 + (157*t[49])/32 + (47*t[50])/6 + (113*t[51])/64 - 
       (95*t[52])/12 - (157*t[53])/32 - (367*t[54])/48 + (5*t[58])/3 - 
       (5*t[59])/2 + (1397*t[60])/48 + (8197*t[61])/96 - (16963*t[62])/192 - 
       (2621*t[63])/192 + (5241*t[64])/64 + (12949*t[65])/288 - 
       (31039*t[66])/288 + (8*t[69])/3 - (13*t[70])/6 + (13*t[71])/6 + 
       (2*t[72])/3 + (19*t[73])/12 - (41*t[74])/6 - (7*t[75])/12 + 
       (17*t[76])/4 - (97*t[77])/12 + (3*t[78])/4 + (451*t[80])/24 + 
       (157*t[81])/24 - (19*t[82])/24 + (25*t[83])/4 + (19*t[84])/12 - 
       (23*t[85])/16 + (805*t[86])/16 - (331*t[87])/48 - (331*t[88])/96 + 
       (1183*t[89])/96 + (7*t[97])/12 + 22*t[98] - 17*t[99] - 
       (193*t[100])/4) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-29*t[3])/2 - 7*t[4] + (143*t[5])/4 + 30*t[6] + 
       8*t[7] + 24*t[8] - (77*t[9])/4 + 36*t[10] + (11*t[11])/2 - 
       (79*t[12])/4 + (173*t[13])/9 + (245*t[14])/12 + (479*t[15])/24 + 
       4*t[28] - 4*t[30] + 4*t[39] - 2*t[40] + (19*t[43])/2 + 9*t[45] - 
       18*t[47] + 6*t[48] + 6*t[49] - 2*t[50] + t[51] + 2*t[52] - 6*t[53] - 
       4*t[54] + 17*t[60] + 22*t[61] + (13*t[62])/2 - t[63]/2 - 
       (83*t[64])/2 - 6*t[65] - (26*t[66])/3 + 6*t[72] + 2*t[77] - 36*t[80] - 
       12*t[83] + 7*t[84] - t[85] - 16*t[86] - 11*t[87] - (11*t[88])/2 + 
       (25*t[89])/2 - 48*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-29*t[3])/2 - 7*t[4] + (143*t[5])/4 + 
       30*t[6] + 8*t[7] + 24*t[8] - (77*t[9])/4 + 36*t[10] + (11*t[11])/2 - 
       (79*t[12])/4 + (173*t[13])/9 + (245*t[14])/12 + (479*t[15])/24 + 
       4*t[28] - 4*t[30] + 4*t[39] - 2*t[40] + (19*t[43])/2 + 9*t[45] - 
       18*t[47] + 6*t[48] + 6*t[49] - 2*t[50] + t[51] + 2*t[52] - 6*t[53] - 
       4*t[54] + 17*t[60] + 22*t[61] + (13*t[62])/2 - t[63]/2 - 
       (83*t[64])/2 - 6*t[65] - (26*t[66])/3 + 6*t[72] + 2*t[77] - 36*t[80] - 
       12*t[83] + 7*t[84] - t[85] - 16*t[86] - 11*t[87] - (11*t[88])/2 + 
       (25*t[89])/2 - 48*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*(8*t[2] - (3*t[3])/2 + 27*t[4] - (183*t[5])/4 - 
       12*t[6] - 2*t[7] - 26*t[8] + (97*t[9])/4 - (69*t[10])/2 - 2*t[11] + 
       (13*t[12])/4 - (595*t[13])/36 + (73*t[14])/6 - (239*t[15])/24 + 
       8*t[28] - 4*t[30] + 4*t[39] + t[43]/2 - 4*t[44] + 5*t[45] - 10*t[47] + 
       t[48]/2 - (15*t[49])/2 - (7*t[50])/2 + (3*t[51])/4 + (7*t[52])/2 + 
       (15*t[53])/2 + (21*t[54])/2 + 17*t[60] + 22*t[61] + (13*t[62])/2 - 
       t[63]/2 - (83*t[64])/2 - 6*t[65] - (26*t[66])/3 + 6*t[72] + 2*t[77] - 
       36*t[80] - 12*t[83] + 7*t[84] - t[85] - 16*t[86] - 11*t[87] - 
       (11*t[88])/2 + (25*t[89])/2 - 48*t[100]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*(8*t[2] - (3*t[3])/2 + 27*t[4] - 
       (183*t[5])/4 - 12*t[6] - 2*t[7] - 26*t[8] + (97*t[9])/4 - 
       (69*t[10])/2 - 2*t[11] + (13*t[12])/4 - (595*t[13])/36 + 
       (73*t[14])/6 - (239*t[15])/24 + 8*t[28] - 4*t[30] + 4*t[39] + 
       t[43]/2 - 4*t[44] + 5*t[45] - 10*t[47] + t[48]/2 - (15*t[49])/2 - 
       (7*t[50])/2 + (3*t[51])/4 + (7*t[52])/2 + (15*t[53])/2 + 
       (21*t[54])/2 + 17*t[60] + 22*t[61] + (13*t[62])/2 - t[63]/2 - 
       (83*t[64])/2 - 6*t[65] - (26*t[66])/3 + 6*t[72] + 2*t[77] - 36*t[80] - 
       12*t[83] + 7*t[84] - t[85] - 16*t[86] - 11*t[87] - (11*t[88])/2 + 
       (25*t[89])/2 - 48*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-23*t[1])/8 + (337*t[2])/72 - (937*t[3])/576 - 
       (433*t[4])/36 + (56623*t[5])/1152 + (8533*t[6])/288 - (4733*t[7])/96 + 
       (5243*t[8])/144 - (9985*t[9])/128 + (2501*t[10])/288 - 
       (3863*t[11])/576 - (8353*t[12])/384 + (8209*t[13])/2592 + 
       (619*t[14])/384 + (213611*t[15])/6912 - (25*t[18])/36 + t[20]/3 - 
       (7*t[21])/3 + (7*t[22])/3 + (101*t[23])/18 + (25*t[24])/9 + 
       (11*t[25])/6 - (4*t[26])/3 + t[27]/6 + 2*t[28] + t[29]/4 + 
       (41*t[30])/12 + t[31]/36 + t[32]/2 + (5*t[33])/6 + (5*t[34])/12 - 
       4*t[35] + (3*t[36])/4 - (7*t[38])/6 - (5*t[39])/6 + t[40]/4 + 
       t[41]/72 + (121*t[42])/72 + (2119*t[43])/192 - (2*t[44])/3 - 
       (323*t[45])/72 + (19*t[46])/24 - (160*t[47])/9 + (2929*t[48])/288 + 
       (1219*t[49])/288 - (2119*t[50])/288 - (2233*t[51])/576 + 
       (3295*t[52])/288 - (1219*t[53])/288 + (265*t[54])/32 - (2*t[58])/3 - 
       (8*t[59])/9 - (1187*t[60])/72 + (3499*t[61])/288 + (54301*t[62])/576 + 
       (13009*t[63])/192 + (4963*t[64])/576 - (19265*t[65])/864 + 
       (38699*t[66])/864 + (5*t[69])/6 + (7*t[70])/2 - (7*t[71])/2 - 
       t[73]/3 + (11*t[74])/2 + (7*t[75])/3 + (17*t[76])/12 + (11*t[77])/12 - 
       (11*t[78])/12 - (14*t[79])/3 - (205*t[80])/24 - (11*t[81])/6 + 
       (11*t[82])/6 - (152*t[83])/9 + (95*t[84])/24 - (27*t[85])/8 - 
       (13031*t[86])/144 + (541*t[87])/72 + (541*t[88])/144 - 
       (133*t[89])/16 + 21*t[98] - 21*t[99] - (137*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-61*t[1])/48 - (65*t[2])/16 - (557*t[3])/96 - (1333*t[4])/96 + 
       (4055*t[5])/192 - (673*t[6])/64 + (289*t[7])/32 + (2135*t[8])/96 - 
       (309*t[9])/64 + (275*t[10])/96 + (2489*t[11])/96 - (209*t[12])/192 + 
       (67631*t[13])/3456 + (11585*t[14])/576 + (9763*t[15])/1152 + t[18] + 
       t[19]/2 + t[20]/2 + (3*t[21])/2 - (3*t[23])/2 + t[24] + 2*t[25] - 
       (5*t[26])/2 - t[29] + t[30]/2 - (13*t[31])/12 - t[32] + t[33] + 
       (9*t[34])/4 - t[37] - t[38]/4 - (3*t[39])/2 + (13*t[40])/4 + 
       t[41]/48 + (23*t[42])/48 + (377*t[43])/96 - 3*t[44] + (41*t[45])/48 + 
       t[46]/3 + (127*t[47])/24 - (239*t[48])/96 + (59*t[49])/16 - 
       (551*t[50])/96 - (39*t[51])/32 - (97*t[52])/96 - (59*t[53])/16 + 
       (107*t[54])/96 - t[58] + (7*t[59])/12 + (1099*t[60])/48 + 
       (2501*t[61])/48 - (1375*t[62])/24 + (1117*t[63])/48 + 
       (2837*t[64])/96 + (2173*t[65])/144 - (9521*t[66])/144 - 2*t[70] + 
       2*t[71] - (13*t[74])/4 + (17*t[76])/2 - (3*t[77])/2 - 4*t[78] + 
       (13*t[79])/12 + (69*t[80])/2 + (109*t[81])/24 + (95*t[82])/24 + 
       (9*t[83])/2 + (11*t[84])/8 + (173*t[85])/48 + (147*t[86])/4 - 
       (905*t[87])/48 - (881*t[88])/96 - (373*t[89])/96 + t[97] + 54*t[98] - 
       48*t[99] - 45*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v]*(t[1] - (3*t[2])/4 - (17*t[3])/4 + (7*t[4])/4 + 
       (11*t[5])/2 + (21*t[6])/8 - (9*t[7])/8 - (31*t[8])/8 + (41*t[9])/8 - 
       (53*t[10])/4 - (29*t[11])/4 - (81*t[12])/8 - (1189*t[13])/144 + 
       (161*t[14])/48 + (5*t[15])/16 - 2*t[18] + t[19] - 2*t[20] - t[21] + 
       t[23] - 4*t[24] + 2*t[25] - 2*t[26] - 2*t[27] - t[28] - t[30] - 
       2*t[31] - 2*t[33] - 2*t[34] + t[37] - t[38] + t[39] - t[41]/2 - 
       t[42]/2 + (31*t[43])/8 - t[44] - (23*t[45])/4 - t[46]/2 + 
       (17*t[47])/2 + (17*t[48])/4 + (23*t[49])/8 - (5*t[50])/4 - 
       (37*t[51])/16 + (13*t[52])/4 - (23*t[53])/8 + (7*t[54])/2 - t[58] + 
       2*t[59] - (21*t[60])/2 + 2*t[61] + (39*t[62])/2 + (97*t[63])/2 + 
       51*t[64] - (106*t[65])/3 + 31*t[66] - 2*t[69] + 2*t[70] - 2*t[71] - 
       2*t[72] + 2*t[74] + 2*t[75] - 2*t[76] + 2*t[78] + 4*t[79] + 2*t[80] - 
       8*t[83] + (3*t[84])/2 - (7*t[85])/2 - 5*t[86] - (3*t[87])/2 - 
       (3*t[88])/4 - (55*t[89])/4 + 4*t[99] - 44*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      ((101*t[1])/36 + (4*t[2])/9 - (373*t[3])/144 + (89*t[4])/48 - 
       (1795*t[5])/288 - (247*t[6])/12 + (913*t[7])/32 + (2177*t[8])/288 + 
       (4489*t[9])/144 - (10465*t[10])/288 + (4003*t[11])/72 + 
       (1081*t[12])/288 + (62483*t[13])/1296 + (5833*t[14])/288 - 
       (2123*t[15])/288 + (41*t[18])/9 + (5*t[19])/2 - (19*t[20])/18 + 
       (41*t[21])/9 - (83*t[22])/18 - (41*t[23])/9 + (53*t[24])/9 - t[25]/9 - 
       (35*t[26])/18 - (3*t[27])/2 + (5*t[29])/36 + t[30]/6 - (17*t[31])/9 - 
       (23*t[32])/9 + 2*t[33] + (32*t[34])/9 + (19*t[36])/12 - t[37]/2 + 
       (20*t[38])/9 - 2*t[39] + (145*t[40])/36 + (89*t[41])/36 - 
       (13*t[42])/9 - (1121*t[43])/288 + (5*t[44])/18 - (301*t[45])/36 - 
       (199*t[46])/72 + (167*t[47])/6 - (307*t[48])/144 + (347*t[49])/48 - 
       (51*t[50])/16 + (139*t[51])/36 - (533*t[52])/144 - (347*t[53])/48 - 
       (523*t[54])/144 + (7*t[58])/9 - (21*t[59])/8 + (1103*t[60])/36 + 
       (4001*t[61])/36 - (11503*t[62])/96 - (3733*t[63])/96 + 
       (1163*t[64])/32 + (15433*t[65])/216 - (17045*t[66])/108 - 
       (11*t[69])/3 - (61*t[70])/9 + (61*t[71])/9 + (10*t[72])/9 + 
       (7*t[73])/12 - (83*t[74])/12 - (31*t[75])/12 + (106*t[76])/9 - 
       (13*t[77])/9 - (83*t[78])/18 - 4*t[79] + (1775*t[80])/36 + 
       (79*t[81])/9 - (217*t[82])/36 + (124*t[83])/9 + (109*t[84])/36 + 
       (52*t[85])/9 + (4337*t[86])/72 - (173*t[87])/18 - (173*t[88])/36 + 
       (743*t[89])/144 + (29*t[97])/36 + (191*t[98])/3 - 51*t[99] - 
       43*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-t[1]/6 + (85*t[2])/8 + (275*t[3])/16 + 
       (59*t[4])/12 + (847*t[5])/48 - (385*t[6])/24 + (299*t[7])/24 - 
       (1103*t[8])/24 - (505*t[9])/48 - (247*t[10])/24 + (86*t[11])/3 + 
       (103*t[12])/48 + (563*t[13])/48 - (61*t[14])/72 + (1757*t[15])/432 + 
       (4*t[18])/3 + 5*t[20] - t[22]/3 - 5*t[28] - (43*t[29])/12 + 
       (11*t[30])/6 - (31*t[32])/12 - (9*t[33])/2 - 2*t[34] + 3*t[35] - 
       t[37] + (2*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 + (239*t[44])/24 - 
       t[47] - (35*t[48])/4 - (13*t[49])/24 + (33*t[50])/4 + (13*t[51])/48 - 
       (37*t[52])/4 + (13*t[53])/24 - (473*t[54])/24 - 3*t[59] - 
       (299*t[60])/24 + (173*t[61])/8 + (9*t[62])/4 + (203*t[63])/8 - 
       (1447*t[64])/48 + t[65]/8 - (449*t[66])/24 - t[69] - (2*t[70])/3 + 
       (2*t[71])/3 + 2*t[73] - 3*t[74] + 3*t[75] - (4*t[76])/3 - t[77]/3 + 
       (8*t[78])/3 + t[79] + t[80] - (13*t[81])/12 + (13*t[82])/12 - 
       (9*t[83])/2 - (259*t[84])/24 - (139*t[85])/12 - t[86] + (3*t[87])/2 - 
       (53*t[88])/12 - (605*t[89])/24 + 6*t[95] - (4*t[96])/3 - t[97]/3 - 
       8*t[98] + 16*t[99] - 43*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*((11*t[1])/3 + t[2]/2 - (25*t[3])/12 - 
       (251*t[4])/24 - (53*t[5])/24 + (67*t[6])/16 + (7*t[7])/12 + 
       (31*t[8])/4 + (37*t[9])/8 - (14*t[10])/3 - (521*t[11])/48 - 
       (93*t[12])/8 - (203*t[13])/18 + (355*t[14])/32 + (319*t[15])/144 + 
       t[16]/2 + (7*t[25])/6 - (11*t[26])/2 + 5*t[36] + (8*t[37])/3 + 
       (11*t[38])/3 - t[46]/4 + (121*t[48])/48 + (21*t[49])/8 - 
       (31*t[50])/48 + (421*t[51])/96 + (21*t[52])/16 - (7*t[53])/8 + 
       (235*t[54])/16 - 3*t[59] - (299*t[60])/24 + (173*t[61])/8 + 
       (9*t[62])/4 + (203*t[63])/8 - (1447*t[64])/48 + t[65]/8 - 
       (449*t[66])/24 - t[69] - (2*t[70])/3 + (2*t[71])/3 + 2*t[73] - 
       3*t[74] + 3*t[75] - (4*t[76])/3 - t[77]/3 + (8*t[78])/3 + t[79] + 
       t[80] - (13*t[81])/12 + (13*t[82])/12 - (9*t[83])/2 - (259*t[84])/24 - 
       (139*t[85])/12 - t[86] + (3*t[87])/2 - (53*t[88])/12 - 
       (605*t[89])/24 + 6*t[95] - (4*t[96])/3 - t[97]/3 - 8*t[98] + 
       16*t[99] - 43*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[w, u, v]*
      ((64*t[1])/3 + (32*t[2])/9 - (152*t[3])/9 + 48*t[4] - (100*t[5])/3 - 
       4*t[6] - (376*t[7])/9 - (32*t[8])/3 + (356*t[9])/9 + (464*t[10])/9 - 
       (532*t[11])/9 + (4*t[12])/3 - (1448*t[13])/27 + (944*t[14])/27 - 
       (46*t[15])/9 + (32*t[31])/3 + (64*t[41])/9 - (64*t[42])/9 - 
       (16*t[43])/9 - (424*t[45])/9 - (16*t[46])/9 + (464*t[47])/9 - 
       (4*t[48])/3 + (56*t[49])/9 - (76*t[50])/9 - (16*t[51])/9 + 
       (76*t[52])/9 - (56*t[53])/9 + (92*t[54])/9 + (32*t[59])/3 - 
       (160*t[60])/9 + (32*t[61])/3 + (1040*t[62])/9 + (752*t[63])/9 - 
       (272*t[64])/3 - (1264*t[65])/27 + (1424*t[66])/9 + (128*t[74])/9 - 
       (128*t[79])/3 + (416*t[80])/9 - (64*t[81])/9 + (64*t[82])/9 - 
       (128*t[83])/9 + (64*t[84])/9 - (160*t[85])/9 - (832*t[86])/9 + 
       (32*t[87])/9 + (16*t[88])/9 - 16*t[89] - (128*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((61*t[1])/72 - (237*t[2])/16 - (18005*t[3])/576 - (1127*t[4])/24 + 
       (20635*t[5])/1152 + (1757*t[6])/576 + (631*t[7])/64 + 
       (9589*t[8])/192 - (16943*t[9])/1152 + (893*t[10])/64 + 
       (6611*t[11])/192 + (6641*t[12])/1152 + (226381*t[13])/10368 + 
       (130859*t[14])/3456 + (157861*t[15])/6912 + (2*t[18])/9 - 
       (5*t[19])/2 + (7*t[20])/18 - (5*t[21])/18 + (29*t[22])/18 + 
       (5*t[23])/18 - (5*t[24])/9 + (11*t[25])/3 - (17*t[26])/6 - 
       (25*t[27])/18 + 2*t[28] - (53*t[29])/36 + (5*t[30])/6 + t[31] - 
       (28*t[32])/9 + 4*t[33] + (11*t[34])/9 + (19*t[36])/12 + t[37] + 
       (7*t[38])/18 - 4*t[39] + (19*t[40])/4 - (49*t[41])/36 + 
       (49*t[42])/18 + (1135*t[43])/288 - (35*t[44])/9 + (2735*t[45])/288 + 
       t[46]/3 - (77*t[47])/48 + (5*t[48])/6 - (341*t[49])/288 - 
       (86*t[50])/9 + (1253*t[51])/576 + (37*t[52])/9 + (341*t[53])/288 + 
       (1441*t[54])/144 + t[58]/18 - (11*t[59])/4 + (3875*t[60])/144 + 
       (22237*t[61])/288 - (5279*t[62])/64 - (3779*t[63])/192 + 
       (16525*t[64])/192 + (39649*t[65])/864 - (88147*t[66])/864 + 
       (8*t[69])/3 - (41*t[70])/18 + (41*t[71])/18 + (4*t[72])/9 + 
       (23*t[73])/12 - (13*t[74])/2 - (11*t[75])/12 + (133*t[76])/36 - 
       (301*t[77])/36 + (35*t[78])/36 + (1315*t[80])/72 + (431*t[81])/72 - 
       (65*t[82])/72 + (217*t[83])/36 + (55*t[84])/36 - (335*t[85])/144 + 
       (7255*t[86])/144 - (601*t[87])/144 - (601*t[88])/288 + 
       (4249*t[89])/288 + (17*t[97])/36 + (56*t[98])/3 - 14*t[99] - 
       (169*t[100])/4) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-25*t[1])/6 + (115*t[3])/24 - (21*t[4])/4 + 
       (391*t[5])/48 + (47*t[6])/24 - (65*t[7])/4 - (29*t[8])/2 - 
       (773*t[9])/48 - (93*t[10])/8 - 43*t[11] - (649*t[12])/48 - 
       (2201*t[13])/108 - (106*t[14])/9 + (959*t[15])/288 - (2*t[18])/3 - 
       (2*t[20])/3 - (2*t[21])/3 + (2*t[22])/3 + (2*t[23])/3 + (2*t[24])/3 - 
       t[26] - (4*t[27])/3 - 2*t[28] - (4*t[29])/3 - 2*t[30] + 4*t[31] - 
       (2*t[32])/3 - (8*t[34])/3 + 2*t[36] + t[38]/3 + 3*t[40] - 
       (13*t[41])/6 + (11*t[42])/6 + (77*t[43])/24 + (5*t[44])/3 + 
       (7*t[45])/6 + (3*t[46])/2 - 10*t[47] - (39*t[48])/8 - (73*t[49])/24 - 
       (125*t[50])/24 + (19*t[51])/48 + (13*t[52])/24 + (73*t[53])/24 + 
       (175*t[54])/24 - (2*t[58])/3 - t[59]/2 + t[60]/3 - (611*t[61])/12 + 
       (537*t[62])/8 + (95*t[63])/8 - (153*t[64])/8 - (1013*t[65])/36 + 
       (2159*t[66])/36 + 2*t[69] + (10*t[70])/3 - (10*t[71])/3 - 
       (4*t[72])/3 + 4*t[73] + 4*t[74] - 4*t[75] + (11*t[76])/3 - 
       (11*t[77])/3 - (8*t[78])/3 - (23*t[80])/3 - t[81]/3 + t[82]/3 - 
       (4*t[83])/3 + (5*t[84])/3 + (8*t[85])/3 - (89*t[86])/6 - 
       (17*t[87])/3 - (17*t[88])/6 - (11*t[89])/3 + t[97]/3 + 40*t[98] - 
       36*t[99] - 42*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((-107*t[1])/36 - (5*t[2])/18 - (325*t[3])/72 - 
       (13*t[4])/24 - (145*t[5])/144 + (395*t[6])/24 - (193*t[7])/16 + 
       (6419*t[8])/144 - (1067*t[9])/72 + (4667*t[10])/144 + (13*t[11])/36 + 
       (1285*t[12])/144 + (6145*t[13])/1296 + (311*t[14])/18 + 
       (59*t[15])/16 - (2*t[18])/9 + t[19] + (2*t[20])/9 - (2*t[21])/9 + 
       (40*t[22])/9 + (2*t[23])/9 + (13*t[24])/9 + (4*t[25])/9 - 
       (2*t[26])/9 - t[29]/18 + (4*t[30])/3 + (14*t[31])/9 + (11*t[32])/9 - 
       (103*t[34])/18 - (5*t[36])/6 + (11*t[38])/18 + t[39] + (25*t[40])/18 + 
       (31*t[41])/36 - (53*t[42])/36 - (863*t[43])/144 - (37*t[44])/9 + 
       (475*t[45])/36 - (43*t[46])/36 - (37*t[47])/3 + (371*t[48])/72 + 
       (17*t[49])/6 - (45*t[50])/8 - (91*t[51])/144 + (337*t[52])/72 - 
       (17*t[53])/6 + (425*t[54])/72 - t[58]/9 + t[59] + (31*t[60])/9 + 
       (1259*t[61])/18 - (1381*t[62])/48 + (473*t[63])/48 - (645*t[64])/16 + 
       (253*t[65])/27 - (559*t[66])/27 + (5*t[69])/3 + (19*t[70])/9 - 
       (19*t[71])/9 + (32*t[72])/9 - (17*t[73])/6 - (11*t[74])/6 + 
       (17*t[75])/6 - (83*t[76])/18 + (16*t[77])/9 + (53*t[78])/18 - 
       (625*t[80])/18 - (10*t[81])/9 - (35*t[82])/9 - (10*t[83])/9 + 
       (131*t[84])/36 - (157*t[85])/36 - (619*t[86])/36 + (151*t[87])/36 + 
       (115*t[88])/72 - (325*t[89])/72 - (2*t[97])/9 - (98*t[98])/3 + 
       34*t[99] - 42*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((31*t[1])/48 + (599*t[2])/144 - 
       (3013*t[3])/288 - (15*t[4])/32 - (3931*t[5])/192 - (435*t[6])/64 + 
       (12361*t[7])/288 - (1243*t[8])/96 + (34337*t[9])/576 - 
       (10547*t[10])/288 + (1489*t[11])/72 + (3397*t[12])/192 + 
       (39347*t[13])/3456 + (34817*t[14])/1728 - (9407*t[15])/1152 + t[18] + 
       t[19]/2 + t[20] + 2*t[21] - 8*t[22] - 2*t[23] + t[24] - 2*t[27] + 
       t[29]/2 + t[30]/2 - (11*t[31])/6 - t[32]/2 + (45*t[34])/4 - t[37] - 
       (9*t[38])/4 - t[39]/2 - (11*t[40])/4 + (199*t[41])/144 - 
       (91*t[42])/144 + (85*t[43])/288 + (3*t[44])/2 - (251*t[45])/18 - 
       (89*t[46])/72 + (164*t[47])/9 - (145*t[48])/48 + (371*t[49])/144 + 
       (1157*t[50])/144 - (31*t[51])/36 - (761*t[52])/144 - (371*t[53])/144 + 
       (353*t[54])/144 + t[58]/2 + t[59]/6 + (2657*t[60])/144 + 
       (1541*t[61])/48 - (1765*t[62])/36 + (3101*t[63])/144 + 
       (2837*t[64])/96 + (4289*t[65])/432 - (6631*t[66])/144 - 2*t[70] + 
       2*t[71] - (157*t[74])/36 + (17*t[76])/2 - (3*t[77])/2 - 4*t[78] + 
       (13*t[79])/12 + (1157*t[80])/36 + (247*t[81])/72 + (365*t[82])/72 + 
       (101*t[83])/18 + (59*t[84])/72 + (119*t[85])/144 + (1313*t[86])/36 - 
       (2155*t[87])/144 - (2083*t[88])/288 - (71*t[89])/32 + t[97] + 
       54*t[98] - 48*t[99] - (125*t[100])/3) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-23*t[1])/24 + (17*t[2])/4 - (119*t[3])/48 - (233*t[4])/24 - 
       (15*t[5])/32 - (11*t[6])/48 + (429*t[7])/16 - (629*t[8])/48 + 
       (3061*t[9])/96 - (147*t[10])/4 + (1705*t[11])/48 + (261*t[12])/32 + 
       (15379*t[13])/864 + (2015*t[14])/144 - (493*t[15])/192 + t[18] + 
       t[19]/2 + t[20] + 2*t[21] - 8*t[22] - 2*t[23] + t[24] - 2*t[27] + 
       t[29]/2 + t[30]/2 - (3*t[32])/2 + t[33] + (29*t[34])/4 - t[37] - 
       (5*t[38])/4 - (3*t[39])/2 - (5*t[40])/4 + (7*t[41])/8 - t[42]/8 + 
       (109*t[43])/24 + (3*t[44])/2 - (123*t[45])/8 + t[46]/4 + 
       (85*t[47])/4 - t[48]/8 - (37*t[49])/48 + (73*t[50])/24 + 
       (43*t[51])/96 - (55*t[52])/24 + (37*t[53])/48 + (41*t[54])/12 + 
       t[58]/2 + (29*t[59])/12 + (607*t[60])/24 + (403*t[61])/6 - 
       (955*t[62])/24 + (23*t[63])/8 + (313*t[64])/12 + (230*t[65])/9 - 
       (3059*t[66])/36 - 2*t[70] + 2*t[71] + 2*t[74] + 5*t[76] - 2*t[77] - 
       2*t[78] + 2*t[79] + (91*t[80])/2 + 4*t[81] + (5*t[82])/2 + 
       (11*t[83])/6 + (29*t[84])/8 + (23*t[85])/8 + (211*t[86])/12 - 
       (419*t[87])/24 - (407*t[88])/48 - (89*t[89])/16 + t[97]/2 + 30*t[98] - 
       24*t[99] - 41*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-20*t[1])/3 + (59*t[2])/8 - (295*t[3])/12 - 
       (45*t[4])/2 + (1327*t[5])/48 + (1213*t[6])/48 + (291*t[7])/8 + 
       (87*t[8])/4 - (1955*t[9])/48 + (127*t[10])/8 + (559*t[11])/16 + 
       (2417*t[12])/48 + (34243*t[13])/432 + (887*t[14])/144 - 
       (905*t[15])/288 + t[16] - (3*t[17])/4 + (34*t[18])/3 + 2*t[19] + 
       (40*t[20])/3 + (34*t[21])/3 - (10*t[22])/3 - (34*t[23])/3 + 
       (32*t[24])/3 - 3*t[25] + 13*t[26] - t[27]/3 + 6*t[28] - (77*t[29])/6 - 
       7*t[30] + 10*t[31] - (38*t[32])/3 + 11*t[33] + (46*t[34])/3 - 
       2*t[35] - 2*t[37] + (22*t[38])/3 - 7*t[39] + 13*t[40] + (47*t[41])/6 - 
       (25*t[42])/6 - (17*t[43])/3 + (77*t[44])/12 - (325*t[45])/12 - 
       (23*t[46])/4 + (63*t[47])/2 - (137*t[48])/16 - (373*t[49])/24 + 
       (449*t[50])/48 + (727*t[51])/48 - (1057*t[52])/48 + (349*t[53])/24 + 
       (1403*t[54])/48 - t[56] - 2*t[57] + (10*t[58])/3 - 8*t[59] + 
       (605*t[60])/6 - (173*t[61])/12 - (49*t[62])/2 - (891*t[63])/4 + 
       (623*t[64])/8 + (4903*t[65])/36 - (4015*t[66])/36 - t[67]/2 - t[68] + 
       2*t[69] - (26*t[70])/3 + (26*t[71])/3 + (56*t[72])/3 + 8*t[73] + 
       9*t[74] - 4*t[75] + (35*t[76])/3 - (41*t[77])/3 + (7*t[78])/3 - 
       8*t[79] + (109*t[80])/3 + (49*t[81])/6 + (5*t[82])/6 - (46*t[83])/3 + 
       (347*t[84])/12 - (22*t[85])/3 + (331*t[86])/6 - (29*t[87])/3 - 
       (29*t[88])/6 + (907*t[89])/12 + 2*t[93] + t[94]/2 + t[97]/3 + 
       40*t[98] - 24*t[99] - 41*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((-5*t[2])/3 + (265*t[3])/12 + 
       (595*t[4])/12 + (85*t[5])/12 + (305*t[6])/12 - (115*t[7])/2 - 
       (875*t[8])/12 - (445*t[9])/8 - (1415*t[10])/24 + (95*t[11])/12 - 
       (205*t[12])/8 - (4225*t[13])/216 - (805*t[14])/48 - (265*t[15])/36 + 
       (5*t[18])/3 + (20*t[23])/3 + (20*t[24])/3 + (20*t[31])/3 + 
       (10*t[41])/3 + (5*t[42])/2 + (135*t[43])/4 - (545*t[45])/12 + 
       (215*t[47])/6 + (10*t[48])/3 + (65*t[49])/24 - (40*t[50])/3 - 
       (65*t[51])/48 + (40*t[52])/3 - (65*t[53])/24 + (5*t[54])/4 - 
       (5*t[59])/2 + (205*t[60])/12 + (250*t[61])/3 + (625*t[62])/6 + 
       80*t[63] - (305*t[64])/6 - (985*t[65])/18 - (875*t[66])/18 + 5*t[74] - 
       20*t[79] + (5*t[81])/2 - (5*t[82])/2 - (40*t[83])/3 + (35*t[85])/4 - 
       (875*t[86])/6 - (65*t[87])/12 - (65*t[88])/24 + (215*t[89])/8 - 
       40*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((25*t[1])/6 - (325*t[3])/12 - (35*t[4])/12 + (75*t[5])/4 + 
       (1555*t[6])/24 - (45*t[7])/8 - (635*t[8])/24 - (155*t[9])/12 - 
       (85*t[10])/8 + (715*t[11])/24 - (15*t[12])/4 - (20*t[13])/27 + 
       (1615*t[14])/36 + (1265*t[15])/48 + 5*t[31] + (365*t[43])/24 + 
       (5*t[46])/2 + (5*t[48])/8 - (20*t[49])/3 - (145*t[50])/24 + 
       (35*t[51])/24 + (145*t[52])/24 + (20*t[53])/3 + (65*t[54])/24 - 
       (5*t[59])/2 + (205*t[60])/12 + (250*t[61])/3 + (625*t[62])/6 + 
       80*t[63] - (305*t[64])/6 - (985*t[65])/18 - (875*t[66])/18 + 5*t[74] - 
       20*t[79] + (5*t[81])/2 - (5*t[82])/2 - (40*t[83])/3 + (35*t[85])/4 - 
       (875*t[86])/6 - (65*t[87])/12 - (65*t[88])/24 + (215*t[89])/8 - 
       40*t[100]) + HPL[{0, 1}, 1 - v]*M1[w, v, u]*
      ((-8*t[1])/3 + (11*t[2])/3 - (55*t[3])/24 + (25*t[4])/4 - 
       (355*t[5])/48 + (17*t[6])/2 + (11*t[7])/4 + (14*t[8])/3 + 
       (185*t[9])/48 + (85*t[10])/24 + (41*t[11])/24 + (229*t[12])/48 + 
       (35*t[13])/54 + (167*t[14])/24 - (587*t[15])/288 - (2*t[18])/3 + 
       (2*t[20])/3 - (2*t[21])/3 - (5*t[22])/3 + (2*t[23])/3 + t[24]/3 + 
       t[25]/3 - t[26]/6 - t[27] + t[29]/3 + t[30] + (2*t[31])/3 + 
       (2*t[32])/3 + t[34]/3 - (2*t[38])/3 - (4*t[40])/3 + (5*t[41])/6 - 
       (7*t[42])/6 - t[43]/24 - (4*t[44])/3 - (2*t[45])/3 - (4*t[46])/3 - 
       t[47]/2 + (5*t[48])/6 + (13*t[49])/8 + t[50]/2 - (19*t[51])/48 + 
       (7*t[52])/6 - (13*t[53])/8 + (19*t[54])/12 + t[58]/6 + t[59] + 
       (16*t[60])/3 + (367*t[61])/12 - 7*t[62] + (31*t[63])/2 - 
       (149*t[64])/8 - (283*t[65])/18 - (487*t[66])/36 + t[69] + 
       (7*t[70])/3 - (7*t[71])/3 + (2*t[72])/3 - (11*t[76])/6 - (2*t[77])/3 + 
       (4*t[78])/3 - (20*t[80])/3 + t[81]/6 - (5*t[82])/3 + (5*t[83])/3 + 
       (11*t[84])/12 - (25*t[85])/12 - (47*t[86])/6 - (17*t[87])/12 - 
       (5*t[88])/24 - (20*t[89])/3 + t[97]/3 - 8*t[98] + 12*t[99] - 
       39*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((349*t[1])/18 - (67*t[2])/4 - (1439*t[3])/144 - 
       (529*t[4])/12 + (9703*t[5])/288 - (11795*t[6])/288 - (1973*t[7])/96 + 
       (3337*t[8])/96 - (319*t[9])/9 - (2855*t[10])/96 + (177*t[11])/8 - 
       (4615*t[12])/288 + (58301*t[13])/5184 + (4319*t[14])/864 + 
       (3637*t[15])/96 + (11*t[18])/9 - (19*t[20])/9 + (11*t[21])/9 - 
       (23*t[22])/9 - (11*t[23])/9 - (44*t[24])/9 + 3*t[25] - (13*t[26])/3 + 
       (49*t[27])/9 + (22*t[29])/9 - t[30]/3 - (103*t[31])/6 + (92*t[32])/9 - 
       (31*t[33])/3 + (119*t[34])/9 + (7*t[36])/3 + (31*t[38])/18 + 
       (31*t[39])/3 - (26*t[40])/3 - (46*t[41])/9 + (103*t[42])/18 + 
       (3595*t[43])/288 + (47*t[44])/18 - (1793*t[45])/144 + (23*t[46])/2 + 
       (59*t[47])/24 + (41*t[48])/6 - (287*t[49])/18 - (95*t[50])/9 + 
       (85*t[51])/72 + (154*t[52])/9 + (287*t[53])/18 - (139*t[54])/18 - 
       (17*t[58])/18 - 10*t[59] - (1441*t[60])/36 - (2321*t[61])/18 + 
       (55*t[62])/6 - (34*t[63])/3 + (2281*t[64])/12 + (7151*t[65])/108 + 
       (3619*t[66])/108 - (38*t[69])/3 - (136*t[70])/9 + (136*t[71])/9 + 
       (124*t[72])/9 - 10*t[73] - (19*t[74])/3 + 10*t[75] + (217*t[76])/9 - 
       (118*t[77])/9 - (175*t[78])/9 + (809*t[80])/9 + (53*t[81])/18 + 
       (547*t[82])/18 - (32*t[83])/9 - (283*t[84])/18 - (395*t[85])/36 + 
       (587*t[86])/18 + (1139*t[87])/36 + (995*t[88])/72 - (1253*t[89])/72 + 
       (44*t[97])/9 + (368*t[98])/3 - 154*t[99] - 36*t[100]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*((-43*t[1])/12 - 
       (98*t[2])/3 - (2269*t[3])/96 - (469*t[4])/24 + (5075*t[5])/192 + 
       (517*t[6])/96 - (631*t[7])/96 + (10121*t[8])/96 - (1729*t[9])/64 - 
       (457*t[10])/32 + (4723*t[11])/96 + (6149*t[12])/192 + 
       (110519*t[13])/1728 + (349*t[14])/576 + (6083*t[15])/3456 + 
       (29*t[18])/3 + (14*t[20])/3 + (29*t[21])/3 + (14*t[22])/3 - 
       (29*t[23])/3 + (43*t[24])/3 + (8*t[25])/3 - (8*t[26])/3 - 2*t[27] - 
       (29*t[29])/6 - (11*t[30])/6 + (19*t[31])/3 - (17*t[32])/3 + 
       (31*t[33])/3 - (29*t[34])/6 + (5*t[36])/2 + (13*t[38])/2 - 
       (31*t[39])/3 + (31*t[40])/2 + (16*t[41])/3 - t[42]/2 - (11*t[43])/6 - 
       t[44]/6 + (271*t[45])/48 + (11*t[46])/12 + (545*t[47])/24 - 
       (19*t[48])/48 - (20*t[49])/3 - (947*t[50])/48 + (185*t[51])/16 - 
       (277*t[52])/48 + (20*t[53])/3 + (185*t[54])/16 + (5*t[58])/2 - 
       (37*t[59])/4 + (715*t[60])/8 + (41*t[61])/48 - (423*t[62])/32 - 
       (21043*t[63])/96 + (9709*t[64])/96 + (19505*t[65])/144 - 
       (20971*t[66])/144 + (19*t[69])/3 - 13*t[70] + 13*t[71] + (2*t[72])/3 + 
       16*t[73] - (17*t[74])/2 - 16*t[75] + (55*t[76])/6 - (39*t[77])/2 + 
       (17*t[78])/6 + (203*t[80])/4 + (101*t[81])/12 - (15*t[82])/4 + 
       (10*t[83])/3 + (155*t[84])/12 - (53*t[85])/8 + (631*t[86])/8 - 
       (253*t[87])/24 - (205*t[88])/48 + (3937*t[89])/48 + t[97]/3 + 
       42*t[98] - 16*t[99] - 36*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*((3*t[1])/8 - (13*t[2])/4 - 
       (557*t[3])/48 - (101*t[4])/6 + (1645*t[5])/96 - (123*t[6])/16 + 
       (47*t[7])/6 + (619*t[8])/24 - (139*t[9])/96 + (8*t[10])/3 + 
       (385*t[11])/24 + (5*t[12])/32 + (6713*t[13])/432 + (4913*t[14])/288 + 
       (5833*t[15])/576 + (2*t[18])/3 + t[19]/2 + t[20]/2 + (3*t[21])/2 - 
       (13*t[23])/6 + t[24]/3 + 2*t[25] - 2*t[26] - t[29] + t[30]/2 - 
       (7*t[31])/6 + (7*t[34])/4 - t[37] - t[38]/4 - t[39]/2 + (5*t[40])/4 + 
       (11*t[41])/24 - (11*t[42])/24 + (145*t[43])/48 - 3*t[44] + 
       (11*t[45])/4 + (13*t[46])/12 + (5*t[47])/2 - (49*t[48])/48 - 
       (9*t[49])/8 - (61*t[50])/48 + t[51]/8 - (143*t[52])/48 + (9*t[53])/8 + 
       (133*t[54])/48 - t[58]/2 + (17*t[59])/12 + (117*t[60])/8 + 
       (115*t[61])/6 - (479*t[62])/24 - (31*t[63])/24 + (313*t[64])/12 + 
       (79*t[65])/6 - (1325*t[66])/36 - 2*t[70] + 2*t[71] - (2*t[74])/3 + 
       5*t[76] - 2*t[77] - 2*t[78] + 2*t[79] + (239*t[80])/6 + (4*t[81])/3 + 
       (31*t[82])/6 + (9*t[83])/2 + (55*t[84])/24 - (91*t[85])/24 + 
       (203*t[86])/12 - (65*t[87])/8 - (61*t[88])/16 - (25*t[89])/16 + 
       t[97]/2 + 30*t[98] - 24*t[99] - 33*t[100]) + 
     HPL[{0, 1}, 1 - w]*M1[w, v, u]*(-t[1]/6 + (3*t[2])/2 - (77*t[3])/24 + 
       (17*t[4])/4 - (641*t[5])/48 + (77*t[6])/24 + (51*t[7])/8 + 
       (3*t[8])/8 + (889*t[9])/48 - t[10]/4 - (9*t[11])/8 + (179*t[12])/48 - 
       (1931*t[13])/432 + (68*t[14])/9 + t[15]/32 - (2*t[18])/3 - 
       (2*t[20])/3 - (2*t[21])/3 - t[22]/3 + (2*t[23])/3 - (4*t[24])/3 + 
       t[25] - t[26]/2 - t[27]/3 - t[29]/3 - t[30] - t[31] + (4*t[32])/3 - 
       2*t[33] + t[34]/3 - (2*t[38])/3 + 2*t[39] - 2*t[40] - (2*t[41])/3 + 
       t[42]/3 - (13*t[43])/6 + (2*t[44])/3 - (13*t[45])/12 + t[47] + 
       t[48]/2 - (37*t[49])/24 + (13*t[50])/6 + t[51]/48 + t[52]/6 + 
       (37*t[53])/24 - (13*t[54])/12 - t[58]/6 - t[59] - (11*t[60])/3 + 
       (55*t[61])/12 + (19*t[62])/4 + (35*t[63])/4 - (83*t[64])/8 - 
       (181*t[65])/18 + (401*t[66])/36 - t[69] + t[70]/3 - t[71]/3 + 
       (5*t[72])/3 - (11*t[76])/6 - (8*t[77])/3 + (4*t[78])/3 - 
       (38*t[80])/3 + t[81]/6 - (5*t[82])/3 - (7*t[83])/3 - t[84]/12 - 
       (37*t[85])/12 - (17*t[86])/6 + (19*t[87])/12 + (7*t[88])/24 - 
       (29*t[89])/3 + t[97]/3 - 8*t[98] + 12*t[99] - 33*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((145*t[1])/9 - (103*t[2])/8 - (20861*t[3])/288 - (119*t[4])/12 - 
       (11189*t[5])/576 + (5327*t[6])/288 + (1575*t[7])/32 + (2967*t[8])/32 + 
       (40441*t[9])/576 + (197*t[10])/32 + (6269*t[11])/96 + 
       (833*t[12])/576 + (104293*t[13])/5184 + (112391*t[14])/1728 + 
       (64285*t[15])/3456 - (2*t[16])/3 + (11*t[17])/6 + (22*t[18])/9 - 
       (74*t[20])/9 - (17*t[21])/9 - (19*t[22])/9 + (47*t[23])/9 - 
       (52*t[24])/9 - 4*t[25] + (5*t[26])/2 - (10*t[27])/9 + (37*t[29])/18 - 
       (5*t[30])/3 - (23*t[31])/3 + (73*t[32])/9 - t[33] - (7*t[34])/18 - 
       (13*t[36])/6 - 3*t[37] + (77*t[38])/18 - (7*t[39])/2 + (35*t[40])/6 - 
       (107*t[41])/36 + (169*t[42])/36 - (761*t[43])/144 - (119*t[44])/18 + 
       (2999*t[45])/144 + (7*t[46])/3 - (167*t[47])/8 + (1061*t[48])/48 + 
       (187*t[49])/144 - (229*t[50])/144 + (965*t[51])/288 - 
       (1651*t[52])/144 + (437*t[53])/144 + (755*t[54])/144 - (5*t[55])/6 + 
       (41*t[58])/18 - (31*t[59])/12 + (1715*t[60])/18 + (23107*t[61])/144 - 
       (4477*t[62])/32 - (3187*t[63])/32 + (2999*t[64])/96 + 
       (27079*t[65])/432 - (73633*t[66])/432 + (2*t[67])/3 + t[69]/3 - 
       (65*t[70])/9 + (65*t[71])/9 + (41*t[72])/9 + (11*t[73])/6 - 
       (11*t[74])/3 - (11*t[75])/6 - (19*t[76])/9 + (41*t[77])/18 + 
       (79*t[78])/9 + (523*t[80])/36 + (143*t[81])/36 - (479*t[82])/36 - 
       (25*t[83])/9 + (835*t[84])/72 - (203*t[85])/18 + (3823*t[86])/72 - 
       (74*t[87])/9 + (259*t[88])/18 + (407*t[89])/18 + (2*t[92])/3 - 
       (2*t[94])/3 - 4*t[95] - 4*t[96] + (28*t[97])/9 - (128*t[98])/3 + 
       44*t[99] - 33*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v]*(-t[1]/12 + 3*t[2] - (29*t[3])/12 - (53*t[4])/4 + 
       (17*t[5])/3 - (25*t[6])/3 + (133*t[7])/8 - (33*t[8])/8 + 
       (163*t[9])/24 + t[10]/4 + (125*t[11])/8 - (7*t[12])/24 + 
       (5537*t[13])/432 + (2719*t[14])/144 + (169*t[15])/16 + (2*t[18])/3 + 
       (2*t[20])/3 + (2*t[21])/3 - (2*t[22])/3 - (2*t[23])/3 + (4*t[24])/3 - 
       t[26]/2 + (4*t[27])/3 - t[28] - (2*t[29])/3 + 2*t[31] + (2*t[32])/3 + 
       (25*t[34])/6 - t[37] - t[38]/3 - (7*t[41])/12 + (11*t[42])/12 + 
       (55*t[43])/24 + (4*t[44])/3 + (19*t[45])/12 + t[46]/2 - (9*t[47])/2 - 
       (91*t[48])/8 + (19*t[49])/24 - t[50]/24 - t[51]/48 - (67*t[52])/24 - 
       (19*t[53])/24 - (85*t[54])/24 - (5*t[58])/6 - (3*t[59])/4 + 
       (233*t[60])/12 + (323*t[61])/12 - (157*t[62])/4 + (43*t[63])/4 - 
       (375*t[64])/8 + (67*t[65])/18 - (2069*t[66])/36 - t[69] - 
       (4*t[70])/3 + (4*t[71])/3 + (4*t[72])/3 - 2*t[74] - 2*t[75] + 
       (53*t[76])/6 - (5*t[77])/6 - (16*t[78])/3 - 4*t[79] + (53*t[80])/3 + 
       (29*t[81])/6 + (7*t[82])/6 + (71*t[83])/6 - (8*t[84])/3 + 
       (71*t[85])/6 + (64*t[86])/3 - (58*t[87])/3 - (29*t[88])/3 - 
       (269*t[89])/24 + (7*t[97])/6 + 56*t[98] - 52*t[99] - (65*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      ((-5*t[1])/6 + (47*t[2])/6 - (49*t[3])/12 + (35*t[4])/2 - 
       (523*t[5])/24 - (11*t[6])/2 + (169*t[7])/8 - (319*t[8])/24 + 
       (583*t[9])/12 - (403*t[10])/24 + (529*t[11])/24 + (289*t[12])/24 + 
       (5963*t[13])/432 + (433*t[14])/24 - (661*t[15])/72 + (2*t[18])/3 - 
       (2*t[20])/3 + (5*t[21])/3 - (10*t[22])/3 - (5*t[23])/3 + (2*t[24])/3 - 
       (4*t[25])/3 + (2*t[26])/3 + t[28] + (2*t[29])/3 - (2*t[31])/3 - 
       (2*t[32])/3 + (23*t[34])/3 - t[37] - (4*t[38])/3 - t[40]/6 + t[41]/6 + 
       t[42]/6 - (71*t[43])/24 - (2*t[44])/3 - (133*t[45])/12 - t[46]/6 + 
       19*t[47] - (137*t[48])/24 + 7*t[49] + (25*t[50])/8 - (61*t[51])/24 - 
       (67*t[52])/24 - 7*t[53] - (155*t[54])/24 + t[58]/3 - (3*t[59])/4 + 
       (233*t[60])/12 + (323*t[61])/12 - (157*t[62])/4 + (43*t[63])/4 - 
       (375*t[64])/8 + (67*t[65])/18 - (2069*t[66])/36 - t[69] - 
       (4*t[70])/3 + (4*t[71])/3 + (4*t[72])/3 - 2*t[74] - 2*t[75] + 
       (53*t[76])/6 - (5*t[77])/6 - (16*t[78])/3 - 4*t[79] + (53*t[80])/3 + 
       (29*t[81])/6 + (7*t[82])/6 + (71*t[83])/6 - (8*t[84])/3 + 
       (71*t[85])/6 + (64*t[86])/3 - (58*t[87])/3 - (29*t[88])/3 - 
       (269*t[89])/24 + (7*t[97])/6 + 56*t[98] - 52*t[99] - (65*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((631*t[1])/72 + (1579*t[2])/48 + (52807*t[3])/576 + (1303*t[4])/24 - 
       (9545*t[5])/1152 - (23299*t[6])/576 + (821*t[7])/192 - 
       (4993*t[8])/64 - (67043*t[9])/1152 - (15673*t[10])/192 + 
       (4415*t[11])/192 - (14587*t[12])/1152 - (168683*t[13])/10368 - 
       (365977*t[14])/3456 - (229535*t[15])/6912 + t[16]/6 - (40*t[18])/9 + 
       6*t[19] - (43*t[20])/9 - (11*t[21])/18 + (19*t[22])/9 + 
       (11*t[23])/18 - (13*t[24])/18 - (26*t[25])/3 + (11*t[26])/2 + 
       (10*t[27])/9 - 10*t[28] + (83*t[29])/18 + (49*t[30])/3 - 
       (40*t[31])/3 - (13*t[32])/9 - (14*t[33])/3 - (85*t[34])/9 - 3*t[35] - 
       t[36]/12 - (16*t[37])/3 + (103*t[38])/18 + (31*t[39])/6 - 
       (29*t[40])/12 + (107*t[41])/36 - (187*t[42])/36 - (1595*t[43])/288 + 
       (637*t[44])/36 - (3937*t[45])/288 - (25*t[46])/6 + (359*t[47])/48 - 
       (173*t[48])/24 - (2489*t[49])/288 + (2099*t[50])/72 + 
       (329*t[51])/576 - (1915*t[52])/72 + (1913*t[53])/288 - 
       (5609*t[54])/144 - t[58]/9 - (5*t[59])/24 - (24451*t[60])/144 - 
       (12371*t[61])/288 + (3425*t[62])/64 + (19501*t[63])/192 + 
       (2357*t[64])/192 - (48719*t[65])/864 + (128381*t[66])/864 - 
       (7*t[68])/6 - (4*t[69])/3 + (55*t[70])/18 - (55*t[71])/18 + 
       (13*t[72])/9 - t[73]/12 - (7*t[74])/6 - (131*t[75])/12 - 
       (143*t[76])/9 + (71*t[77])/36 - (335*t[78])/18 + 10*t[79] - 
       (65*t[80])/72 - (1069*t[81])/72 + (517*t[82])/72 + (1225*t[83])/36 - 
       (2983*t[84])/72 - (5573*t[85])/144 + (4651*t[86])/144 + 
       (15209*t[87])/144 + (11033*t[88])/288 - (19301*t[89])/288 - t[90]/6 + 
       (20*t[95])/3 + (22*t[96])/3 - t[97]/9 - (214*t[98])/3 + 90*t[99] - 
       (65*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-13*t[1])/2 + 5*t[2] - (131*t[3])/12 - 
       (643*t[4])/12 + 22*t[5] + (151*t[6])/3 + (215*t[7])/8 - (55*t[8])/24 + 
       (103*t[9])/6 - (35*t[10])/8 + (859*t[11])/12 + (59*t[12])/4 + 
       (2327*t[13])/108 + (332*t[14])/9 + (589*t[15])/48 - t[21] + t[23] + 
       7*t[31] + t[41]/2 - t[42]/2 + (253*t[43])/24 + 7*t[45] + (5*t[46])/2 + 
       4*t[47] - (7*t[48])/4 - (103*t[49])/12 - (91*t[50])/12 + 
       (29*t[51])/12 + (91*t[52])/12 + (103*t[53])/12 + (89*t[54])/12 - 
       (43*t[59])/6 + (169*t[60])/6 + (1829*t[61])/12 - (1285*t[62])/24 + 
       (23*t[63])/8 + (1073*t[64])/24 + (797*t[65])/36 - (6119*t[66])/36 - 
       t[69] + 7*t[74] + 4*t[79] + 8*t[80] + (15*t[81])/2 - (15*t[82])/2 - 
       (49*t[83])/6 + (9*t[84])/4 + 19*t[85] - (43*t[86])/6 - (107*t[87])/6 - 
       (107*t[88])/12 + 4*t[89] - 32*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((15*t[1])/8 + 
       (277*t[2])/144 - (493*t[3])/72 + (1417*t[4])/144 + (2843*t[5])/288 - 
       (691*t[6])/72 - (13*t[7])/12 - (1895*t[8])/144 - (793*t[9])/48 - 
       (365*t[10])/288 + (589*t[11])/72 - (25*t[12])/8 + (4037*t[13])/648 - 
       (1381*t[14])/576 + (10873*t[15])/1728 + (3*t[17])/4 + (29*t[18])/18 + 
       t[19]/2 + t[21] - (25*t[22])/6 - (17*t[23])/18 + (7*t[24])/18 - 
       t[27]/2 - 3*t[28] + (19*t[29])/6 + (55*t[30])/6 - (10*t[31])/9 - 
       (4*t[32])/3 + t[33]/3 + (11*t[34])/4 + 3*t[35] - 3*t[36] - t[37] + 
       t[38]/4 - (29*t[39])/6 + (29*t[40])/6 + (5*t[41])/18 + (41*t[42])/72 - 
       (27*t[43])/16 + (19*t[44])/6 - (701*t[45])/144 + (5*t[46])/4 - 
       (223*t[47])/72 + (335*t[48])/72 + (1679*t[49])/288 + (403*t[50])/72 - 
       (1307*t[51])/576 - (517*t[52])/72 - (1679*t[53])/288 - 
       (263*t[54])/48 - (2*t[56])/3 - (8*t[57])/3 + t[58]/2 - 
       (185*t[59])/72 + (457*t[60])/144 - (139*t[61])/72 - (247*t[62])/144 + 
       (355*t[63])/48 - (1169*t[64])/72 + (847*t[65])/108 + (463*t[66])/216 - 
       (3*t[68])/2 + 2*t[69] - 3*t[70] + 3*t[71] + 2*t[72] - t[73] - 
       (7*t[74])/6 - t[75] + (9*t[76])/4 - t[77]/6 - (47*t[78])/12 + 
       (35*t[79])/12 + (41*t[80])/12 - (41*t[81])/24 + (223*t[82])/24 + 
       (29*t[83])/9 - t[84]/12 - (81*t[85])/16 - (629*t[86])/72 + 
       (1321*t[87])/144 + (1393*t[88])/288 + t[89]/32 + t[97]/4 + 6*t[99] - 
       (94*t[100])/3) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((167*t[1])/72 + (25*t[2])/4 - (197*t[3])/18 + 
       (587*t[4])/72 + (419*t[5])/48 + (2245*t[6])/72 + (331*t[7])/24 - 
       (1391*t[8])/72 + (415*t[9])/144 - (433*t[10])/24 + (959*t[11])/36 - 
       (455*t[12])/48 + (14329*t[13])/1296 + (25847*t[14])/864 + 
       (2005*t[15])/144 + t[19] + t[21]/2 - t[23]/2 + t[28] - (3*t[29])/2 - 
       t[30] + (11*t[31])/2 - 3*t[35] - 3*t[37] + t[39] - t[40]/2 - t[41]/4 + 
       t[42]/4 + (925*t[43])/144 + (13*t[44])/4 + (7*t[45])/2 - 
       (37*t[46])/24 - 5*t[47] - (173*t[48])/24 + (73*t[49])/36 + 
       (11*t[50])/72 + (113*t[51])/288 - (11*t[52])/72 - (73*t[53])/36 - 
       (487*t[54])/72 - (259*t[59])/72 + (1051*t[60])/36 + (5123*t[61])/72 + 
       (2915*t[62])/144 + (1459*t[63])/48 - (6793*t[64])/144 - 
       (5677*t[65])/216 - (12545*t[66])/216 + t[67]/2 - (3*t[69])/2 + 
       (3*t[72])/2 - (37*t[74])/12 + t[77]/2 - (41*t[79])/4 - t[80]/6 + 
       (11*t[81])/4 - (15*t[82])/4 - (247*t[83])/36 + (89*t[84])/24 + 
       (167*t[85])/12 - (707*t[86])/18 - (337*t[87])/18 - (337*t[88])/36 + 
       (43*t[89])/6 - (185*t[100])/6) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-41*t[1])/18 + (803*t[2])/72 - 
       (7117*t[3])/576 + (1199*t[4])/72 - (1495*t[5])/384 + (9875*t[6])/576 + 
       (4327*t[7])/192 + (5989*t[8])/576 + (28801*t[9])/1152 + 
       (4775*t[10])/576 + (8549*t[11])/576 + (10505*t[12])/1152 + 
       (56333*t[13])/3456 + (120107*t[14])/3456 + (30089*t[15])/6912 + 
       t[17]/2 + (14*t[18])/9 + (95*t[20])/9 + (25*t[21])/18 - 
       (121*t[22])/18 - (4*t[23])/3 - (67*t[27])/18 + (103*t[29])/36 + 
       (4*t[30])/3 - t[31]/9 + (59*t[32])/36 + (23*t[33])/12 + 
       (199*t[34])/18 - t[35] - (5*t[36])/12 - t[37] - (13*t[38])/9 - 
       (23*t[39])/12 - (8*t[40])/3 - (5*t[41])/24 - (13*t[42])/18 - 
       (391*t[43])/144 - (167*t[44])/36 - (1601*t[45])/288 - (13*t[46])/8 + 
       (337*t[47])/144 - (157*t[48])/72 + (281*t[49])/32 + (241*t[50])/24 - 
       (457*t[51])/192 - (569*t[52])/72 - (281*t[53])/32 + (307*t[54])/144 - 
       t[56]/2 + (5*t[58])/36 - (127*t[59])/72 + 62*t[60] + (3361*t[61])/96 - 
       (445*t[62])/576 + (3511*t[63])/192 - (54691*t[64])/576 - 
       (935*t[65])/288 - (6773*t[66])/288 - (5*t[68])/8 - (7*t[69])/6 + 
       (19*t[70])/18 - (19*t[71])/18 + (41*t[72])/18 - (43*t[73])/12 - 
       (23*t[74])/6 + (79*t[75])/12 + (53*t[76])/18 - (71*t[77])/18 + 
       (595*t[78])/72 - (61*t[79])/4 - (53*t[80])/72 + (371*t[81])/72 + 
       (17*t[82])/36 + (8*t[83])/3 + (817*t[84])/144 + (439*t[85])/144 - 
       (769*t[86])/48 - (2297*t[87])/48 - (2297*t[88])/96 - (707*t[89])/288 + 
       (3*t[90])/8 + t[93] + (41*t[97])/36 + (56*t[98])/3 + 11*t[99] - 
       (185*t[100])/6) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-113*t[1])/24 + (281*t[2])/72 - 
       (271*t[3])/144 - (913*t[4])/16 + (3275*t[5])/96 + (847*t[6])/32 + 
       (6631*t[7])/144 + (1667*t[8])/48 + (899*t[9])/288 - (779*t[10])/144 + 
       (5225*t[11])/72 + (631*t[12])/96 + (72437*t[13])/1728 + 
       (17165*t[14])/864 + (7543*t[15])/576 + 2*t[28] - 2*t[30] - 
       (2*t[31])/3 + 2*t[39] - t[40] - (113*t[41])/72 + (113*t[42])/72 + 
       (835*t[43])/144 + (269*t[45])/18 + (31*t[46])/36 - (29*t[47])/9 + 
       (37*t[48])/12 - (35*t[49])/9 - (89*t[50])/36 + (475*t[51])/144 + 
       (89*t[52])/36 + (35*t[53])/9 - (131*t[54])/36 - (13*t[59])/6 + 
       (1799*t[60])/72 + (3149*t[61])/24 - (1181*t[62])/9 - (727*t[63])/72 + 
       (2609*t[64])/48 + (11819*t[65])/216 - (10357*t[66])/72 - 2*t[69] + 
       3*t[72] - (61*t[74])/18 + t[77] + (37*t[79])/6 - (98*t[80])/9 + 
       (259*t[81])/36 - (259*t[82])/36 - (73*t[83])/9 + (32*t[84])/9 + 
       (989*t[85])/72 + (646*t[86])/9 - (1285*t[87])/72 - (1285*t[88])/144 + 
       (67*t[89])/16 - (91*t[100])/3) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*(t[1]/2 + (31*t[2])/8 + (217*t[3])/72 - 
       (61*t[4])/72 + (9*t[5])/16 + (109*t[6])/72 + (145*t[7])/24 - 
       (581*t[8])/72 + (553*t[9])/144 - (269*t[10])/24 + (649*t[11])/72 + 
       (79*t[12])/48 + (3793*t[13])/1296 + (3989*t[14])/864 - 
       (313*t[15])/144 + t[19]/2 + t[20] - t[22] - t[27] + t[29]/2 - 
       t[30]/2 - t[31]/6 + t[33]/2 - t[34]/4 - t[37]/2 + t[40]/2 - 
       (9*t[41])/8 + (11*t[42])/8 - (269*t[43])/144 - (3*t[44])/2 + 
       (3*t[45])/4 + (5*t[46])/24 + (13*t[47])/4 + 2*t[48] + (13*t[49])/36 + 
       t[50]/9 - (61*t[51])/288 + (23*t[52])/36 - (13*t[53])/36 + 
       (61*t[54])/36 - (23*t[59])/18 + (275*t[60])/72 + (316*t[61])/9 - 
       (491*t[62])/18 + (85*t[63])/12 + (83*t[64])/36 + (4*t[65])/27 - 
       (562*t[66])/27 + t[69] + 2*t[72] + (5*t[74])/12 - t[76] - 3*t[77] + 
       t[78]/4 - (13*t[79])/12 - (7*t[80])/3 - (5*t[81])/6 + (4*t[82])/3 - 
       (5*t[83])/18 + (5*t[84])/4 - (97*t[85])/24 + (104*t[86])/9 - 
       (73*t[87])/72 - (109*t[88])/144 - (301*t[89])/48 + t[97]/4 - 6*t[98] + 
       6*t[99] - (88*t[100])/3) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-181*t[1])/24 + (71*t[2])/48 - 
       (12113*t[3])/576 - (3037*t[4])/144 + (3343*t[5])/1152 + 
       (3527*t[6])/288 + (1703*t[7])/288 + (16*t[8])/3 + (43375*t[9])/1152 + 
       (3521*t[10])/96 - (11*t[11])/192 + (5117*t[12])/1152 + 
       (3205*t[13])/576 + (39341*t[14])/1152 + (86315*t[15])/6912 + 
       (3*t[17])/8 + (4*t[18])/9 - (11*t[20])/18 + (4*t[21])/9 - 
       (31*t[22])/18 - (4*t[23])/9 - (2*t[24])/9 - (11*t[25])/9 + t[26]/9 + 
       t[27]/6 - (3*t[28])/2 - (2*t[29])/9 + (7*t[30])/12 + (26*t[31])/9 - 
       (11*t[32])/18 + (181*t[34])/36 - t[35]/2 + (7*t[36])/6 - t[37]/2 - 
       (23*t[38])/36 - t[39] + (47*t[40])/36 + (25*t[41])/12 - 
       (67*t[42])/36 + (3805*t[43])/576 - t[44]/9 - (565*t[45])/144 - 
       (5*t[46])/24 + (461*t[47])/72 - (851*t[48])/144 - (175*t[49])/96 - 
       (253*t[50])/48 + (1031*t[51])/576 + (323*t[52])/144 + (175*t[53])/96 + 
       (49*t[54])/36 - (5*t[58])/18 - (269*t[59])/72 + (2731*t[60])/144 + 
       (1355*t[61])/96 + (1973*t[62])/576 + (5347*t[63])/576 - 
       (15329*t[64])/576 + (14459*t[65])/864 - (5599*t[66])/288 + t[67]/8 - 
       (2*t[69])/3 - (14*t[70])/9 + (14*t[71])/9 - (17*t[72])/18 - t[73]/4 + 
       (61*t[74])/36 - t[75]/4 + (347*t[76])/36 - (65*t[77])/9 - 
       (221*t[78])/36 - (3*t[79])/4 + (979*t[80])/72 + (63*t[81])/8 + 
       (47*t[82])/24 + (41*t[83])/36 - (17*t[84])/9 + (799*t[85])/48 + 
       (1231*t[86])/144 - (3065*t[87])/144 - (3065*t[88])/288 - 
       (1435*t[89])/288 + (23*t[97])/18 + (190*t[98])/3 - 66*t[99] - 
       29*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-3*t[1])/2 - (35*t[2])/8 + 14*t[3] + (57*t[4])/4 + (691*t[5])/32 + 
       (383*t[6])/32 - (265*t[7])/8 - (207*t[8])/4 - (1187*t[9])/32 - 
       (485*t[10])/8 + (39*t[11])/32 - (123*t[12])/32 - (1829*t[13])/144 - 
       (319*t[14])/48 + (815*t[15])/192 - t[17] - t[18] - 2*t[20] + 
       (15*t[22])/2 + (13*t[23])/4 + (11*t[24])/2 + 4*t[27] + (35*t[31])/2 + 
       (23*t[32])/4 - (5*t[33])/4 + (9*t[34])/2 - (5*t[38])/2 + 
       (13*t[39])/4 - (29*t[40])/4 + (29*t[41])/8 + (3*t[42])/4 + 
       (375*t[43])/16 - (53*t[45])/2 + 2*t[46] + (69*t[47])/4 - 
       (435*t[48])/32 - (15*t[49])/4 - (683*t[50])/32 - (3*t[51])/8 + 
       (659*t[52])/32 + (15*t[53])/4 + (103*t[54])/32 + (7*t[56])/4 + 
       3*t[57] - (3*t[59])/4 + (99*t[60])/8 + (479*t[61])/16 + 
       (2599*t[62])/32 + (2793*t[63])/32 - (967*t[64])/32 - (3551*t[65])/48 - 
       (199*t[66])/12 + (13*t[68])/8 - 16*t[72] + 3*t[74] + (21*t[76])/2 + 
       (33*t[77])/4 - (69*t[78])/8 + (57*t[80])/4 - (13*t[81])/8 + 4*t[82] - 
       (7*t[83])/2 - (321*t[84])/16 + (233*t[85])/16 - (471*t[86])/4 - 
       (197*t[87])/16 - (197*t[88])/32 - t[89]/32 - (3*t[90])/8 - 2*t[93] + 
       t[97] + 72*t[98] - 72*t[99] - 28*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((5*t[1])/4 - (79*t[2])/16 - (37*t[3])/4 + (23*t[4])/16 + 
       (889*t[5])/32 + 37*t[6] - (29*t[7])/8 - (467*t[8])/16 - 
       (215*t[9])/32 - (677*t[10])/32 + (147*t[11])/8 - (209*t[12])/16 - 
       (119*t[13])/144 + (3685*t[14])/192 + (1765*t[15])/192 - (13*t[16])/8 + 
       t[23] - (7*t[26])/2 - 2*t[27] - 4*t[28] - t[31] - 2*t[32] + 2*t[33] + 
       t[34] - (13*t[36])/4 + (3*t[38])/2 - 4*t[39] + t[40] - t[41]/2 + 
       t[42]/2 + (55*t[43])/8 - (27*t[45])/8 + (15*t[46])/4 + (11*t[47])/4 + 
       (9*t[48])/8 + (439*t[49])/32 - (47*t[50])/8 - (495*t[51])/64 + 
       (23*t[52])/8 - (439*t[53])/32 - (125*t[54])/16 - (3*t[58])/2 - 
       (3*t[59])/4 + (99*t[60])/8 + (479*t[61])/16 + (2599*t[62])/32 + 
       (2793*t[63])/32 - (967*t[64])/32 - (3551*t[65])/48 - (199*t[66])/12 + 
       (13*t[68])/8 - 16*t[72] + 3*t[74] + (21*t[76])/2 + (33*t[77])/4 - 
       (69*t[78])/8 + (57*t[80])/4 - (13*t[81])/8 + 4*t[82] - (7*t[83])/2 - 
       (321*t[84])/16 + (233*t[85])/16 - (471*t[86])/4 - (197*t[87])/16 - 
       (197*t[88])/32 - t[89]/32 - (3*t[90])/8 - 2*t[93] + t[97] + 72*t[98] - 
       72*t[99] - 28*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*(t[1] - (5*t[2])/24 - (923*t[3])/192 - 
       (61*t[4])/16 - (199*t[5])/384 - (2443*t[6])/576 + (2789*t[7])/192 - 
       (297*t[8])/64 + (4967*t[9])/384 + (1589*t[10])/192 + 
       (4279*t[11])/192 + (597*t[12])/128 + (14683*t[13])/3456 + 
       (8729*t[14])/384 + (33869*t[15])/6912 - (31*t[18])/36 - t[19] - 
       t[21] - (5*t[22])/6 + (7*t[23])/6 - (11*t[24])/6 + (5*t[25])/6 - 
       (5*t[26])/6 + (5*t[27])/6 + (5*t[29])/12 + (7*t[30])/12 - 
       (2*t[31])/3 + (5*t[32])/6 - (5*t[33])/6 + (15*t[34])/4 - (5*t[36])/4 - 
       (5*t[38])/6 + (5*t[39])/6 - (5*t[40])/4 - t[41]/4 + (4*t[42])/9 + 
       (55*t[43])/96 - (239*t[45])/96 - (5*t[46])/12 + (115*t[47])/48 - 
       (73*t[48])/24 + (173*t[49])/48 - t[50]/8 - (61*t[51])/32 + 
       (13*t[52])/24 - (173*t[53])/48 - (13*t[54])/4 - (5*t[58])/6 + 
       (53*t[59])/36 + (361*t[60])/24 + (5759*t[61])/96 - (8975*t[62])/192 + 
       (2421*t[63])/64 - (3929*t[64])/192 - (181*t[65])/288 - 
       (4043*t[66])/96 + t[69]/6 + t[70]/6 - t[71]/6 + (5*t[72])/3 - 
       3*t[73] - (11*t[74])/6 + 3*t[75] + (53*t[76])/12 + (29*t[77])/12 - 
       (23*t[78])/12 - (2*t[79])/3 + (95*t[80])/8 + (11*t[81])/3 + 
       (13*t[82])/6 + (5*t[83])/3 - (11*t[84])/24 + (155*t[85])/24 + 
       (37*t[86])/48 - (139*t[87])/8 - (139*t[88])/16 - (211*t[89])/16 + 
       (5*t[97])/6 + 23*t[98] - 23*t[99] - 28*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (3*t[2] - (19*t[3])/2 - 26*t[4] + (173*t[5])/4 + (35*t[6])/2 + t[7] + 
       37*t[8] - (103*t[9])/4 + (83*t[10])/2 - 9*t[11] - (39*t[12])/4 + 
       (89*t[13])/18 + (23*t[14])/3 + (505*t[15])/24 + 4*t[28] - 4*t[30] - 
       4*t[31] - 8*t[35] - 4*t[37] + 4*t[39] - 2*t[40] + (9*t[43])/2 + 
       9*t[45] - 18*t[47] + (19*t[48])/2 - t[49]/2 - t[50]/2 + (5*t[51])/4 + 
       t[52]/2 + t[53]/2 + (3*t[54])/2 - 2*t[59] - 23*t[61] + 36*t[62] + 
       4*t[63] + 36*t[64] + (28*t[65])/3 + (256*t[66])/3 - 4*t[69] + 
       6*t[72] + 4*t[75] + 2*t[77] + 8*t[79] - 16*t[80] - 2*t[81] + 
       10*t[82] - 36*t[83] + 9*t[84] - 10*t[85] - 36*t[86] - 6*t[87] - 
       3*t[88] + 10*t[89] - 16*t[99] - 28*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-14*t[2] + (7*t[3])/2 + t[4] - (49*t[5])/4 - 9*t[6] - 18*t[7] - 
       12*t[8] - (73*t[9])/4 - (31*t[10])/2 - 46*t[11] - t[12]/4 - 
       (113*t[13])/4 - (61*t[14])/6 - (289*t[15])/24 + 4*t[19] + 4*t[21] - 
       4*t[23] + 8*t[28] - 4*t[30] - 4*t[35] + 4*t[39] + 2*t[41] - 2*t[42] - 
       (7*t[43])/2 - 4*t[44] + 3*t[45] - 14*t[47] + (27*t[48])/2 - 
       (21*t[49])/2 - (25*t[50])/2 + (9*t[51])/4 + (25*t[52])/2 + 
       (21*t[53])/2 + (51*t[54])/2 - 2*t[59] - 23*t[61] + 36*t[62] + 
       4*t[63] + 36*t[64] + (28*t[65])/3 + (256*t[66])/3 - 4*t[69] + 
       6*t[72] + 4*t[75] + 2*t[77] + 8*t[79] - 16*t[80] - 2*t[81] + 
       10*t[82] - 36*t[83] + 9*t[84] - 10*t[85] - 36*t[86] - 6*t[87] - 
       3*t[88] + 10*t[89] - 16*t[99] - 28*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((49*t[1])/18 - t[2]/2 - t[3]/12 - (391*t[4])/48 - (95*t[5])/96 - 
       (719*t[6])/96 + (293*t[7])/96 + (89*t[8])/96 + (577*t[9])/32 + 
       (1087*t[10])/96 - (1069*t[11])/96 + (107*t[12])/32 - 
       (4931*t[13])/432 + (823*t[14])/288 - (22*t[15])/9 + (3*t[16])/4 + 
       t[18] + t[19]/2 + t[20]/2 + (3*t[21])/2 - (3*t[23])/2 + t[24] - 
       t[25]/2 - (11*t[26])/12 + t[27] + 2*t[28] - t[29] - t[30] + t[31]/12 + 
       (11*t[32])/6 - (11*t[33])/6 + t[34] - 3*t[35] + (3*t[36])/2 + 
       3*t[37] + (11*t[38])/4 + (13*t[39])/3 - (31*t[40])/12 + t[41] - 
       t[42]/2 + (161*t[43])/96 - (3*t[44])/2 + (17*t[45])/6 - 
       (29*t[46])/12 - (5*t[47])/6 - (319*t[48])/96 - (353*t[49])/48 + 
       (67*t[50])/32 + (475*t[51])/96 - (115*t[52])/32 + (139*t[53])/16 + 
       (83*t[54])/96 + t[58]/4 - (55*t[59])/72 + (149*t[60])/48 - 
       (61*t[61])/8 - (379*t[62])/48 + (245*t[63])/48 - (56*t[64])/3 + 
       (23*t[65])/2 + (871*t[66])/72 - (3*t[68])/2 + 2*t[69] - 3*t[70] + 
       3*t[71] + 2*t[72] - t[73] - 2*t[74] - t[75] + (9*t[76])/4 - t[77]/6 - 
       (47*t[78])/12 + (35*t[79])/12 + (41*t[80])/12 - (17*t[81])/8 + 
       (233*t[82])/24 + (13*t[83])/3 - t[84]/12 - (313*t[85])/48 - 
       (73*t[86])/24 + (457*t[87])/48 + (481*t[88])/96 - (107*t[89])/96 + 
       t[97]/4 + 6*t[99] - 28*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*(-7*t[1] + (28*t[2])/3 + (997*t[3])/48 + 
       (3239*t[4])/48 - (3869*t[5])/96 + (1865*t[6])/192 + (499*t[7])/48 - 
       (959*t[8])/12 + (603*t[9])/16 + (173*t[10])/8 - (939*t[11])/64 + 
       (241*t[12])/96 - (1043*t[13])/144 + (1115*t[14])/288 - 
       (5981*t[15])/864 + t[16]/12 + t[17]/6 - (25*t[18])/6 - 2*t[20] - 
       (25*t[21])/6 + 3*t[22] + (25*t[23])/6 - (11*t[24])/2 + (17*t[25])/6 + 
       (29*t[26])/6 - 4*t[27] + 3*t[28] + (9*t[29])/4 - 2*t[30] + 
       (17*t[31])/3 - (89*t[32])/12 - (41*t[33])/12 - (175*t[34])/12 - 
       (3*t[35])/2 + (13*t[36])/6 - (7*t[38])/3 + (59*t[39])/6 - 
       (35*t[40])/24 - (3*t[41])/2 - (7*t[42])/12 - (143*t[43])/24 + 
       (63*t[44])/8 + (51*t[45])/8 + (55*t[46])/24 - (25*t[47])/2 - 
       (359*t[48])/64 - (119*t[49])/24 + (533*t[50])/64 - (607*t[51])/192 - 
       (1583*t[52])/192 + (137*t[53])/24 - (2831*t[54])/192 + t[58]/4 + 
       (55*t[59])/24 - (1313*t[60])/96 + (669*t[61])/32 + (18109*t[62])/192 + 
       (4403*t[63])/192 - (29713*t[64])/192 - (10771*t[65])/96 + 
       (1197*t[66])/32 - t[67]/6 - (7*t[68])/6 + (5*t[69])/2 + 7*t[70] - 
       7*t[71] - (25*t[72])/6 + 3*t[73] + (10*t[74])/3 - t[75] - 
       (26*t[76])/3 + (17*t[77])/6 - (47*t[78])/12 - 3*t[79] - 
       (253*t[80])/3 - (103*t[81])/12 - (319*t[82])/12 - (185*t[83])/12 + 
       (45*t[84])/32 - (1613*t[85])/96 - (1127*t[86])/12 - (103*t[87])/96 - 
       (781*t[88])/64 - (2063*t[89])/192 - t[91]/24 - t[92]/6 + t[93]/2 + 
       t[94]/6 + 4*t[95] + (43*t[96])/6 - (13*t[97])/12 - 82*t[98] + 
       94*t[99] - 28*t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - w]*
      ((17*t[1])/12 - t[2]/4 - 11*t[3] - 13*t[4] + (21*t[5])/2 + 
       (755*t[6])/24 + (9*t[7])/4 - (9*t[8])/4 - (29*t[9])/8 - 
       (89*t[10])/12 + (485*t[11])/24 - (31*t[12])/12 + (67*t[13])/24 + 
       (439*t[14])/24 + (45*t[15])/4 + (8*t[31])/3 + t[35]/3 + t[37]/3 + 
       (29*t[43])/4 + t[46] + (7*t[48])/24 - (7*t[49])/2 - (97*t[50])/24 + 
       t[51] + (97*t[52])/24 + (7*t[53])/2 + (27*t[54])/8 - (19*t[59])/4 + 
       (35*t[60])/4 + (205*t[61])/4 + 24*t[62] + (259*t[63])/12 + 
       (137*t[64])/12 - (463*t[65])/36 - (1445*t[66])/36 + t[67]/6 - t[69] + 
       2*t[74] - 6*t[79] - t[80] + (7*t[81])/3 - (7*t[82])/3 - (11*t[83])/2 + 
       (7*t[84])/4 + (53*t[85])/12 - (209*t[86])/6 - (9*t[87])/4 - 
       (9*t[88])/8 + (95*t[89])/8 - 27*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-5*t[1])/3 + (11*t[2])/6 - (89*t[3])/16 - 19*t[4] + (125*t[5])/96 + 
       (1975*t[6])/96 + (245*t[7])/48 + (3607*t[8])/48 - (2923*t[9])/96 - 
       (100*t[10])/3 + (1349*t[11])/96 + (675*t[12])/32 - (193*t[13])/288 - 
       (63*t[14])/16 + (4669*t[15])/576 - t[16]/2 + (2*t[18])/3 + t[19] + 
       (7*t[20])/3 + (5*t[21])/3 + (8*t[22])/3 - (5*t[23])/3 + (2*t[24])/3 - 
       (2*t[25])/3 - (17*t[26])/6 - (13*t[27])/3 - 8*t[28] - (4*t[29])/3 - 
       (3*t[30])/2 - (5*t[31])/3 - t[32]/3 + (5*t[33])/3 - (19*t[34])/3 + 
       4*t[35] + 7*t[36] - (11*t[37])/3 - t[38]/6 - 5*t[39] - (7*t[40])/4 + 
       (25*t[41])/6 - (23*t[42])/6 - (37*t[43])/8 - (71*t[44])/12 + 
       (17*t[45])/8 - (19*t[46])/6 + (41*t[47])/12 + (1891*t[48])/96 + 
       (201*t[49])/16 - (385*t[50])/96 + (17*t[51])/48 + (865*t[52])/96 - 
       (91*t[53])/48 + (1501*t[54])/96 + t[58]/6 - t[59]/2 - 
       (3991*t[60])/48 + (2407*t[61])/48 + (1355*t[62])/32 - (761*t[63])/96 + 
       (463*t[64])/96 + (9583*t[65])/144 + (707*t[66])/48 + t[67]/6 + 
       4*t[68] - t[69] - (20*t[70])/3 + (20*t[71])/3 + t[72]/3 + 2*t[73] - 
       (17*t[74])/3 - 5*t[75] - (149*t[76])/6 - (37*t[77])/6 + 
       (107*t[78])/6 + (21*t[79])/2 - (41*t[80])/6 - (19*t[81])/6 + 
       (49*t[82])/6 - (31*t[83])/6 - (559*t[84])/48 - (1159*t[85])/48 - 
       (11*t[86])/12 + (633*t[87])/16 + (811*t[88])/96 + (37*t[89])/32 - 
       t[90]/3 + t[91]/12 - t[93] + 4*t[95] + (14*t[96])/3 - (5*t[97])/3 - 
       56*t[98] + 64*t[99] - (53*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((11*t[1])/2 - (7*t[2])/12 + 
       (365*t[3])/8 + (211*t[4])/48 + (293*t[5])/32 - (161*t[6])/48 + 
       (7*t[7])/3 + (491*t[8])/24 - (651*t[9])/32 - (4111*t[10])/96 + 
       (233*t[11])/8 - (151*t[12])/16 + (265*t[13])/432 - (11935*t[14])/576 + 
       (7925*t[15])/1728 - (7*t[17])/6 + t[19] - (28*t[20])/3 + (8*t[21])/3 + 
       (17*t[22])/3 - (14*t[23])/3 - (7*t[24])/3 - (10*t[27])/3 + 
       (5*t[29])/12 - (11*t[30])/3 - (59*t[32])/6 - (2*t[33])/3 - 12*t[34] - 
       6*t[35] + 6*t[36] - 3*t[37] + (13*t[38])/6 - 3*t[39] + (73*t[40])/12 - 
       (17*t[41])/6 + (23*t[42])/6 + (11*t[43])/16 - (325*t[44])/24 - 
       t[45]/4 - (5*t[46])/6 + t[47]/6 + (185*t[48])/48 - (195*t[49])/32 - 
       (235*t[50])/48 + (133*t[51])/192 + (41*t[52])/16 + (713*t[53])/96 - 
       (149*t[54])/12 - t[55]/6 + t[56]/2 - t[57] + (5*t[58])/3 - t[59]/2 - 
       (3991*t[60])/48 + (2407*t[61])/48 + (1355*t[62])/32 - (761*t[63])/96 + 
       (463*t[64])/96 + (9583*t[65])/144 + (707*t[66])/48 + t[67]/6 + 
       4*t[68] - t[69] - (20*t[70])/3 + (20*t[71])/3 + t[72]/3 + 2*t[73] - 
       (17*t[74])/3 - 5*t[75] - (149*t[76])/6 - (37*t[77])/6 + 
       (107*t[78])/6 + (21*t[79])/2 - (41*t[80])/6 - (19*t[81])/6 + 
       (49*t[82])/6 - (31*t[83])/6 - (559*t[84])/48 - (1159*t[85])/48 - 
       (11*t[86])/12 + (633*t[87])/16 + (811*t[88])/96 + (37*t[89])/32 - 
       t[90]/3 + t[91]/12 - t[93] + 4*t[95] + (14*t[96])/3 - (5*t[97])/3 - 
       56*t[98] + 64*t[99] - (53*t[100])/2) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((11*t[1])/12 + (571*t[2])/144 + (4*t[3])/9 + (421*t[4])/144 + 
       (3575*t[5])/288 + (791*t[6])/72 - (105*t[7])/8 - (1025*t[8])/144 - 
       (479*t[9])/24 - (2447*t[10])/288 - (301*t[11])/144 - (147*t[12])/16 + 
       (1691*t[13])/2592 - (85*t[14])/192 + (14981*t[15])/1728 - 
       (2*t[18])/9 + t[20]/3 + (2*t[21])/3 - t[22]/3 - (5*t[23])/18 + 
       t[24]/18 + (2*t[25])/3 - t[26]/3 + (3*t[28])/2 - t[29]/3 + t[30]/2 + 
       (2*t[31])/9 + t[32]/3 + (13*t[34])/6 - t[35] - t[37]/2 - (5*t[38])/6 + 
       t[39]/2 - (2*t[40])/3 - (49*t[41])/72 + (55*t[42])/36 + 
       (209*t[43])/48 + t[44]/3 - (851*t[45])/144 + (23*t[46])/12 - 
       (103*t[47])/72 + (535*t[48])/144 + (245*t[49])/288 - (169*t[50])/144 - 
       (953*t[51])/576 + (577*t[52])/144 - (245*t[53])/288 + (13*t[54])/12 - 
       t[58]/6 - (7*t[59])/9 - (209*t[60])/144 + (323*t[61])/72 + 
       (871*t[62])/18 + (529*t[63])/24 - (451*t[64])/36 - (1229*t[65])/108 + 
       (2045*t[66])/108 - 2*t[69] + (2*t[70])/3 - (2*t[71])/3 + t[72]/3 - 
       t[73] + (31*t[74])/6 + (3*t[75])/2 + (5*t[76])/6 + t[77]/6 - t[78]/3 - 
       (37*t[79])/12 + (37*t[80])/12 + t[81]/8 + (7*t[82])/8 - 
       (113*t[83])/18 + 2*t[84] - (23*t[85])/48 - (2903*t[86])/72 - 
       (83*t[87])/144 - (83*t[88])/288 - (343*t[89])/96 + t[97]/6 + 8*t[98] - 
       8*t[99] - (79*t[100])/3) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^3*
      ((-73*t[1])/24 + (47*t[2])/48 - (83*t[3])/12 + (13*t[4])/96 + 
       (235*t[5])/192 + (2981*t[6])/192 - (121*t[7])/32 + (71*t[8])/96 + 
       (991*t[9])/192 - (119*t[10])/64 - (1231*t[11])/64 + t[12]/32 + 
       (425*t[13])/1728 + (14473*t[14])/1152 + (5599*t[15])/1152 - t[16]/6 + 
       t[17]/12 - t[18]/2 + t[19]/2 + (7*t[20])/3 - (11*t[22])/6 + 
       (17*t[24])/12 - t[25]/6 - (29*t[26])/24 - t[27] + (5*t[28])/6 - 
       (5*t[29])/24 + t[30]/2 + (3*t[31])/2 - t[32]/12 + (23*t[33])/12 + 
       (23*t[34])/6 - (5*t[35])/2 + (13*t[36])/6 - (5*t[38])/4 - 
       (29*t[39])/12 - (17*t[40])/12 + (5*t[41])/24 - t[42]/2 + (5*t[43])/4 - 
       (103*t[44])/48 - (53*t[45])/16 - (53*t[46])/24 - (101*t[47])/24 - 
       (25*t[48])/64 + (181*t[49])/64 + (257*t[50])/192 - (425*t[51])/384 + 
       (431*t[52])/192 - (479*t[53])/192 + (355*t[54])/64 - t[56]/4 - 
       t[57]/2 - (11*t[58])/24 + (7*t[59])/6 + (503*t[60])/48 + 
       (35*t[61])/8 + (781*t[62])/24 + (919*t[63])/24 - (647*t[64])/16 - 
       (3431*t[65])/144 + (851*t[66])/48 + t[67]/12 + t[68]/3 + 2*t[69] + 
       (5*t[70])/2 - (5*t[71])/2 - t[72]/6 + t[73]/3 - (31*t[74])/6 + 
       (13*t[75])/6 - (17*t[76])/24 - t[77]/3 + (37*t[78])/8 - 3*t[79] - 
       (11*t[80])/12 + (33*t[81])/8 - (43*t[82])/24 - (71*t[83])/12 + 
       (47*t[84])/24 + (179*t[85])/48 - (545*t[86])/24 - (255*t[87])/16 - 
       (255*t[88])/32 - (327*t[89])/32 - t[90]/12 + t[92]/12 + t[93]/3 - 
       t[94]/12 + t[97]/3 + 8*t[98] - t[99] - (79*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*
      ((143*t[1])/144 - (385*t[2])/288 + (943*t[3])/288 + (103*t[4])/24 + 
       (2197*t[5])/576 - (59*t[6])/192 - (557*t[7])/96 - (2053*t[8])/72 + 
       (5401*t[9])/576 - (1783*t[10])/72 - (5497*t[11])/576 + 
       (1439*t[12])/576 - (61975*t[13])/5184 - (77*t[14])/24 - 
       (17815*t[15])/3456 - (7*t[17])/16 + (91*t[18])/72 + t[19]/2 - 
       (5*t[20])/9 + (13*t[21])/18 - (65*t[22])/18 - (37*t[23])/72 + 
       (241*t[24])/72 - (11*t[25])/18 + (5*t[26])/9 - t[27]/6 + t[28]/2 + 
       (5*t[29])/36 + (2*t[30])/3 - (71*t[31])/36 - (5*t[32])/9 + 
       (71*t[34])/9 - (11*t[35])/4 - (5*t[36])/12 + t[37]/4 - (35*t[38])/18 - 
       t[39]/2 - (17*t[40])/36 + (11*t[41])/144 + (113*t[42])/144 + 
       (437*t[43])/144 - (11*t[44])/36 - (601*t[45])/36 + (95*t[46])/72 + 
       (347*t[47])/24 + (1061*t[48])/576 + (5*t[49])/3 + (47*t[50])/192 - 
       (637*t[51])/288 + (211*t[52])/576 - (5*t[53])/3 + (1571*t[54])/576 + 
       (13*t[58])/36 - t[59]/24 + (3331*t[60])/288 - (2699*t[61])/288 + 
       (6943*t[62])/192 + (4645*t[63])/192 - (4585*t[64])/192 - 
       (5917*t[65])/432 + (12337*t[66])/432 + t[67]/16 + t[69]/6 - 
       (55*t[70])/36 + (55*t[71])/36 - (2*t[72])/9 - (5*t[73])/4 + 
       (37*t[74])/24 + (5*t[75])/4 + (295*t[76])/36 - (11*t[77])/18 - 
       (40*t[78])/9 - t[79] + (170*t[80])/9 + (619*t[81])/144 + 
       (773*t[82])/144 - (17*t[83])/9 - (187*t[84])/72 + (737*t[85])/288 - 
       (1115*t[86])/36 - (3449*t[87])/288 - (3449*t[88])/576 - 
       (4741*t[89])/576 + (41*t[97])/36 + (149*t[98])/3 - 52*t[99] - 
       (209*t[100])/8) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*(-2*t[1] + (5*t[2])/16 - (53*t[3])/6 - 
       (59*t[4])/6 + (83*t[5])/48 + (253*t[6])/144 + (255*t[7])/16 + 
       (1259*t[8])/48 + (65*t[9])/6 + (715*t[10])/48 + (181*t[11])/16 + 
       (31*t[12])/6 + (565*t[13])/108 + (199*t[14])/12 + (1043*t[15])/144 - 
       (5*t[18])/36 - (2*t[23])/3 - (2*t[24])/3 + t[25] - t[26]/2 - t[30]/2 - 
       (7*t[31])/6 - t[37]/2 - t[38]/2 + t[39]/2 + t[40]/4 + (13*t[41])/12 - 
       (119*t[42])/72 - (41*t[43])/12 + t[44]/2 + (17*t[45])/6 + t[46]/2 - 
       (5*t[47])/3 + (3*t[48])/16 - (13*t[49])/12 + (19*t[50])/16 + 
       (7*t[51])/24 - (27*t[52])/16 + (13*t[53])/12 + (43*t[54])/48 + 
       (19*t[59])/36 + (15*t[60])/4 + (353*t[61])/12 - (803*t[62])/24 + 
       (115*t[63])/24 - t[64]/8 + (137*t[65])/36 - (391*t[66])/36 + t[69] + 
       2*t[72] - (5*t[74])/12 - t[76] - 3*t[77] + t[78]/4 - (13*t[79])/12 - 
       (7*t[80])/3 - (5*t[81])/4 + (7*t[82])/4 + (5*t[83])/6 + (5*t[84])/4 - 
       (11*t[85])/2 + (69*t[86])/4 - (2*t[87])/3 - (7*t[88])/12 - 
       (89*t[89])/12 + t[97]/4 - 6*t[98] + 6*t[99] - 26*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-745*t[1])/144 + (47*t[2])/8 + (319*t[3])/144 + (62*t[4])/9 - 
       (199*t[5])/96 - (1981*t[6])/288 + (395*t[7])/96 + (2141*t[8])/288 + 
       (3475*t[9])/288 + (187*t[10])/96 + (3485*t[11])/288 + (223*t[12])/96 + 
       (25111*t[13])/2592 + (17459*t[14])/1728 - (2215*t[15])/576 + t[19]/2 + 
       t[21]/4 - t[23]/4 - t[26]/2 + t[28]/2 - t[30]/2 - t[31]/2 - t[32] + 
       t[33] + t[34]/2 - 2*t[35] - (3*t[37])/2 - t[39]/2 + (7*t[40])/4 + 
       (9*t[41])/8 - (9*t[42])/8 - (185*t[43])/72 - 2*t[44] - (9*t[45])/2 - 
       (115*t[46])/48 + (25*t[47])/2 - (211*t[48])/96 + (113*t[49])/36 - 
       (941*t[50])/288 - (85*t[51])/576 + (221*t[52])/288 - (113*t[53])/36 + 
       (205*t[54])/288 - t[58]/2 + (365*t[59])/144 + (1157*t[60])/144 + 
       (4925*t[61])/144 - (11413*t[62])/288 + (643*t[63])/96 - 
       (817*t[64])/288 + (2477*t[65])/432 - (13931*t[66])/432 - (3*t[69])/4 + 
       (3*t[72])/4 + (29*t[74])/24 + (7*t[76])/2 + (5*t[77])/4 - 2*t[78] + 
       (3*t[79])/8 + (197*t[80])/12 + (5*t[81])/2 - t[82]/2 - 
       (247*t[83])/72 + (77*t[84])/48 + (187*t[85])/48 + (2375*t[86])/72 - 
       (1915*t[87])/144 - (1915*t[88])/288 - (1327*t[89])/96 + t[97]/2 + 
       24*t[98] - 24*t[99] - (311*t[100])/12) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*((947*t[1])/144 + 
       (137*t[2])/48 - (1861*t[3])/288 + (347*t[4])/96 - (3751*t[5])/144 - 
       (19147*t[6])/576 + (5933*t[7])/96 - (2499*t[8])/32 + (5881*t[9])/72 - 
       (1637*t[10])/64 + (1733*t[11])/64 + (2689*t[12])/576 - 
       (155407*t[13])/5184 + (40163*t[14])/3456 - (881*t[15])/144 - 
       (9*t[16])/8 - (13*t[18])/9 - (3*t[19])/2 - (119*t[20])/18 - 
       (17*t[21])/18 - (32*t[22])/9 + (43*t[23])/36 - (41*t[24])/36 - 
       (29*t[25])/6 - (7*t[26])/12 + (16*t[27])/9 - (9*t[28])/2 - 
       (61*t[29])/72 + (17*t[30])/6 - (10*t[31])/3 + (35*t[32])/36 - 
       (67*t[33])/12 + (691*t[34])/72 - (3*t[35])/2 - (35*t[36])/12 + 
       (3*t[37])/2 - (37*t[38])/36 + (13*t[39])/12 - (11*t[40])/6 - 
       (361*t[41])/144 + (401*t[42])/144 - (455*t[43])/288 + 
       (1225*t[44])/144 + (67*t[45])/144 + (173*t[46])/24 + (155*t[47])/24 - 
       (1103*t[48])/64 + (3131*t[49])/576 + (8965*t[50])/576 - 
       (9125*t[51])/1152 - (9917*t[52])/576 - (3275*t[53])/576 - 
       (15683*t[54])/576 + t[56]/4 + t[57]/2 - (37*t[58])/36 + 
       (103*t[59])/48 - (71*t[60])/72 + (4205*t[61])/144 - (6595*t[62])/96 + 
       (9503*t[63])/96 - (5587*t[64])/96 - (14881*t[65])/432 - 
       (337*t[66])/216 + t[67]/4 + (11*t[68])/8 - (14*t[69])/3 - 
       (41*t[70])/18 + (41*t[71])/18 - (8*t[72])/9 + (25*t[73])/6 + 
       (7*t[74])/6 - (32*t[75])/3 + (1343*t[76])/72 + (197*t[77])/36 - 
       (1589*t[78])/72 + 7*t[79] + (5*t[80])/36 + (77*t[81])/18 + 
       (295*t[82])/72 + (421*t[83])/36 - (1877*t[84])/144 + 
       (4267*t[85])/144 + (71*t[86])/18 - (3769*t[87])/144 - 
       (3769*t[88])/288 - (11909*t[89])/288 - t[90]/8 + t[92]/4 - t[93] - 
       t[94]/4 + (103*t[97])/72 + (350*t[98])/3 - 138*t[99] - 
       (51*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((-49*t[1])/24 + (163*t[2])/72 - 
       (2449*t[3])/576 - (701*t[4])/72 - (3041*t[5])/1152 - (599*t[6])/288 + 
       (2335*t[7])/96 - (1225*t[8])/144 + (11557*t[9])/384 + 
       (3167*t[10])/288 + (4441*t[11])/576 + (5863*t[12])/384 + 
       (18001*t[13])/2592 + (7367*t[14])/384 - (26629*t[15])/6912 + 
       (29*t[18])/36 + t[19] + t[21] - (4*t[22])/3 - (25*t[23])/18 + 
       (22*t[24])/9 - (5*t[25])/6 - (5*t[27])/6 - (5*t[29])/12 - 
       (7*t[30])/12 + (37*t[31])/36 - (5*t[32])/6 + (5*t[33])/6 + 
       (15*t[34])/4 - (5*t[36])/4 - (5*t[38])/6 - (5*t[39])/6 + 
       (5*t[40])/12 + (109*t[41])/72 - (185*t[42])/72 - (601*t[43])/192 - 
       (139*t[45])/36 - (49*t[46])/24 + (383*t[47])/36 - (1715*t[48])/288 + 
       (817*t[49])/288 + (677*t[50])/288 + (65*t[51])/576 - 
       (1037*t[52])/288 - (817*t[53])/288 + (83*t[54])/96 + (53*t[59])/18 + 
       (295*t[60])/18 + (14659*t[61])/288 - (29171*t[62])/576 + 
       (6577*t[63])/192 - (15221*t[64])/576 + (1687*t[65])/864 - 
       (27541*t[66])/864 - t[69]/6 - t[70]/6 + t[71]/6 + (5*t[72])/3 - 
       (7*t[73])/3 - 3*t[74] + (7*t[75])/3 + (55*t[76])/12 + (9*t[77])/4 - 
       (25*t[78])/12 - (2*t[79])/3 + (259*t[80])/24 + (43*t[81])/12 + 
       (23*t[82])/12 + (19*t[83])/9 - (3*t[84])/8 + (71*t[85])/12 + 
       (829*t[86])/144 - (172*t[87])/9 - (86*t[88])/9 - (361*t[89])/24 + 
       (5*t[97])/6 + 25*t[98] - 25*t[99] - (74*t[100])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((133*t[1])/144 - (281*t[2])/96 - (359*t[3])/72 - (235*t[4])/96 + 
       (2203*t[5])/144 + (379*t[6])/144 - (635*t[7])/96 - (227*t[8])/24 - 
       (1919*t[9])/144 + (3241*t[10])/192 + (149*t[11])/32 - 
       (3931*t[12])/576 + (11153*t[13])/2592 + (34915*t[14])/3456 + 
       (9011*t[15])/576 + (3*t[17])/16 + (7*t[18])/9 - t[19]/2 + 
       (10*t[20])/9 + (19*t[21])/36 - (4*t[22])/9 - (19*t[23])/36 + 
       (59*t[24])/36 - t[26]/2 + (5*t[27])/9 - (3*t[28])/2 - (7*t[29])/9 + 
       (11*t[30])/12 + (5*t[31])/12 + (7*t[32])/9 + t[33]/3 + 
       (121*t[34])/36 - (9*t[35])/4 + t[36]/6 - (7*t[37])/4 - (5*t[38])/36 - 
       (5*t[39])/6 + t[40]/6 + (49*t[41])/144 + (7*t[42])/144 + 
       (1841*t[43])/288 + (13*t[44])/18 - (25*t[45])/9 + (15*t[46])/16 - 
       (65*t[47])/24 - (343*t[48])/48 - (1427*t[49])/576 - (439*t[50])/144 + 
       (1289*t[51])/1152 + (11*t[52])/144 + (1427*t[53])/576 - 
       (251*t[54])/288 - (13*t[58])/18 + (5*t[59])/24 + (4235*t[60])/288 + 
       (1859*t[61])/288 + (2055*t[62])/64 + (3887*t[63])/192 - 
       (1261*t[64])/64 - (355*t[65])/54 + (2209*t[66])/216 + t[67]/16 + 
       t[69]/6 - (59*t[70])/36 + (59*t[71])/36 - (4*t[72])/9 - 
       (11*t[73])/12 + (77*t[74])/24 + (11*t[75])/12 + (275*t[76])/36 - 
       (8*t[77])/9 - (38*t[78])/9 - t[79] + (763*t[80])/36 + 
       (731*t[81])/144 + (565*t[82])/144 - (31*t[83])/9 - (143*t[84])/72 + 
       (1441*t[85])/288 - (2201*t[86])/72 - (4009*t[87])/288 - 
       (4009*t[88])/576 - (4493*t[89])/576 + (37*t[97])/36 + (139*t[98])/3 - 
       49*t[99] - (193*t[100])/8) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*((31*t[1])/2 - 18*t[2] - 17*t[3] + 
       34*t[4] - 17*t[5] - 4*t[6] - (119*t[7])/2 - (139*t[8])/2 - 
       (27*t[9])/2 + (49*t[10])/2 - 12*t[11] - (39*t[12])/2 + (41*t[13])/9 + 
       4*t[14] + (43*t[15])/12 - 8*t[31] - t[43]/2 - 12*t[46] + 4*t[48] + 
       10*t[49] + 4*t[50] + 4*t[51] - 4*t[52] - 10*t[53] - 20*t[54] + 
       10*t[60] - 56*t[61] + (285*t[62])/2 + (157*t[63])/2 - (273*t[64])/2 - 
       (29*t[65])/3 + (212*t[66])/3 + 4*t[67] - 8*t[69] - 8*t[70] + 
       12*t[71] - 24*t[74] - 92*t[80] + 12*t[81] - 12*t[82] + 2*t[84] + 
       8*t[85] - 158*t[86] - 12*t[87] - 6*t[88] + 20*t[89] - 24*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*((17*t[2])/2 + 17*t[3] + 
       22*t[4] - 27*t[5] - 17*t[6] - 43*t[7] - 41*t[8] - 26*t[9] + 60*t[10] - 
       81*t[11] + t[12] - (274*t[13])/9 + 9*t[14] + (28*t[15])/3 + 2*t[18] + 
       8*t[19] + 8*t[21] - 10*t[23] + 5*t[41] - 4*t[42] + 15*t[43] - 
       27*t[45] + 8*t[47] - 8*t[48] - 4*t[49] - 8*t[50] + 2*t[51] + 8*t[52] + 
       4*t[53] + 16*t[54] + 10*t[60] - 56*t[61] + (285*t[62])/2 + 
       (157*t[63])/2 - (273*t[64])/2 - (29*t[65])/3 + (212*t[66])/3 + 
       4*t[67] - 8*t[69] - 8*t[70] + 12*t[71] - 24*t[74] - 92*t[80] + 
       12*t[81] - 12*t[82] + 2*t[84] + 8*t[85] - 158*t[86] - 12*t[87] - 
       6*t[88] + 20*t[89] - 24*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*((57*t[2])/4 + (113*t[3])/4 + 46*t[4] - 
       (73*t[5])/4 + (187*t[6])/4 - (711*t[7])/4 - 22*t[8] - (831*t[9])/8 - 
       (201*t[10])/4 + 3*t[11] - (115*t[12])/4 - (41*t[13])/72 - 
       (1207*t[14])/24 - (71*t[15])/2 + 3*t[17] + 3*t[18] + 4*t[23] + 
       10*t[24] - 26*t[31] + 3*t[41] + (11*t[42])/2 + (123*t[43])/4 - 
       (67*t[45])/4 + (7*t[47])/2 + 47*t[48] + (21*t[49])/4 - 20*t[50] - 
       (21*t[51])/8 + 20*t[52] - (21*t[53])/4 + (23*t[54])/2 - (23*t[59])/2 - 
       (127*t[60])/2 + (363*t[61])/4 + (1039*t[62])/8 + (493*t[63])/8 + 
       (873*t[64])/8 + (121*t[65])/6 - 108*t[66] - 3*t[67] - 12*t[69] + 
       6*t[70] - 6*t[71] + 21*t[74] + 39*t[79] + 3*t[81] - 3*t[82] - 
       17*t[83] + 3*t[84] - (29*t[85])/2 - (439*t[86])/2 + (129*t[87])/2 + 
       (129*t[88])/4 + (157*t[89])/4 - 24*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((17*t[1])/2 - (95*t[3])/4 - (229*t[4])/4 + (101*t[5])/2 + 
       (287*t[6])/4 - (243*t[7])/8 - (367*t[8])/8 - 47*t[9] + (357*t[10])/8 + 
       (225*t[11])/4 + (21*t[12])/4 + (611*t[13])/36 + (103*t[14])/24 + 
       (861*t[15])/16 + 8*t[31] + (259*t[43])/8 + (21*t[46])/2 - 
       (13*t[48])/4 - 46*t[49] - (29*t[50])/4 + (121*t[51])/8 + 
       (29*t[52])/4 + 46*t[53] + (129*t[54])/4 - (23*t[59])/2 - 
       (127*t[60])/2 + (363*t[61])/4 + (1039*t[62])/8 + (493*t[63])/8 + 
       (873*t[64])/8 + (121*t[65])/6 - 108*t[66] - 3*t[67] - 12*t[69] + 
       6*t[70] - 6*t[71] + 21*t[74] + 39*t[79] + 3*t[81] - 3*t[82] - 
       17*t[83] + 3*t[84] - (29*t[85])/2 - (439*t[86])/2 + (129*t[87])/2 + 
       (129*t[88])/4 + (157*t[89])/4 - 24*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*(17*t[2] + (257*t[3])/4 + 
       (425*t[4])/4 - (65*t[5])/2 - (43*t[6])/4 - (123*t[7])/2 - 
       (721*t[8])/4 - (507*t[9])/8 - (757*t[10])/8 - (209*t[11])/4 - 
       (387*t[12])/8 - (3881*t[13])/72 - (1187*t[14])/16 - (931*t[15])/24 + 
       3*t[18] - 6*t[20] + 4*t[23] + 4*t[24] + 4*t[31] - 6*t[32] - 6*t[34] + 
       2*t[41] + (13*t[42])/2 + (129*t[43])/4 - (151*t[45])/4 + t[47]/2 + 
       14*t[48] + (19*t[49])/8 - 20*t[50] - (19*t[51])/16 + 20*t[52] - 
       (19*t[53])/8 + (21*t[54])/4 - (13*t[59])/2 - (73*t[60])/4 - 7*t[61] + 
       (203*t[62])/2 + 24*t[63] - (97*t[64])/2 - (203*t[65])/6 + 
       (287*t[66])/6 - 6*t[72] + 9*t[74] + 6*t[77] - 12*t[79] - 60*t[80] + 
       (9*t[81])/2 - (9*t[82])/2 - 8*t[83] - 3*t[84] + (51*t[85])/4 - 
       (193*t[86])/2 + (125*t[87])/4 + (125*t[88])/8 + (711*t[89])/8 - 
       24*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((3*t[1])/2 - (305*t[3])/4 - (253*t[4])/4 + 57*t[5] + (761*t[6])/8 + 
       (51*t[7])/8 + (647*t[8])/8 - (71*t[9])/2 + (747*t[10])/8 - 
       (187*t[11])/8 - 15*t[12] + (35*t[13])/9 + (385*t[14])/6 + 
       (1209*t[15])/16 + 9*t[31] - 6*t[40] + (283*t[43])/8 + 15*t[45] + 
       (9*t[46])/2 - 30*t[47] + (21*t[48])/8 - 16*t[49] - (107*t[50])/8 + 
       (37*t[51])/8 + (107*t[52])/8 + 16*t[53] + (91*t[54])/8 - 
       (13*t[59])/2 - (73*t[60])/4 - 7*t[61] + (203*t[62])/2 + 24*t[63] - 
       (97*t[64])/2 - (203*t[65])/6 + (287*t[66])/6 - 6*t[72] + 9*t[74] + 
       6*t[77] - 12*t[79] - 60*t[80] + (9*t[81])/2 - (9*t[82])/2 - 8*t[83] - 
       3*t[84] + (51*t[85])/4 - (193*t[86])/2 + (125*t[87])/4 + 
       (125*t[88])/8 + (711*t[89])/8 - 24*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (6*t[1] - 5*t[2] - (21*t[3])/4 + (7*t[4])/2 - (205*t[5])/8 - 
       (17*t[6])/2 + (63*t[7])/2 + 10*t[8] + (363*t[9])/8 - (181*t[10])/4 + 
       (233*t[11])/4 + (263*t[12])/8 + (244*t[13])/9 + (151*t[14])/6 - 
       (283*t[15])/16 + 4*t[18] + 2*t[19] + 2*t[20] + 6*t[21] - 6*t[23] + 
       4*t[24] - t[26] - 4*t[29] + 2*t[31] + 4*t[34] + 3*t[38] + 4*t[41] - 
       2*t[42] - (31*t[43])/4 + 2*t[44] - 9*t[45] - t[46] + 30*t[47] - 
       2*t[48] - (15*t[49])/4 - t[50] + (37*t[51])/8 - 3*t[52] + 
       (15*t[53])/4 + (7*t[54])/2 + t[58] + 45*t[60] + (213*t[61])/2 - 
       85*t[62] - 60*t[63] + (113*t[64])/4 + (241*t[65])/3 - (779*t[66])/6 - 
       8*t[70] + 8*t[71] + 2*t[72] - 4*t[74] + 7*t[76] + 4*t[77] + 2*t[78] + 
       24*t[80] + 7*t[81] - 6*t[82] + (17*t[84])/2 + (7*t[85])/2 + 23*t[86] - 
       (25*t[87])/2 - (25*t[88])/4 + (45*t[89])/2 + 24*t[98] - 24*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (7*t[1] - 13*t[2] - (69*t[3])/4 - (15*t[4])/2 - (69*t[5])/8 - 
       (5*t[6])/2 + (191*t[7])/4 + (187*t[8])/4 + (353*t[9])/8 - 
       (13*t[10])/2 + (145*t[11])/2 + (63*t[12])/8 + (2383*t[13])/72 + 
       (415*t[14])/12 + (241*t[15])/48 + 4*t[18] - 2*t[19] - 4*t[20] + 
       4*t[24] - 2*t[29] - 4*t[31] + 4*t[34] + t[38] + t[42] - (7*t[43])/2 + 
       (7*t[45])/2 - t[46] + t[47] + (3*t[48])/4 - (3*t[49])/4 + 
       (19*t[50])/4 + (21*t[51])/8 - (43*t[52])/4 + (3*t[53])/4 - 
       (25*t[54])/4 + 2*t[58] + 45*t[60] + (213*t[61])/2 - 85*t[62] - 
       60*t[63] + (113*t[64])/4 + (241*t[65])/3 - (779*t[66])/6 - 8*t[70] + 
       8*t[71] + 2*t[72] - 4*t[74] + 7*t[76] + 4*t[77] + 2*t[78] + 24*t[80] + 
       7*t[81] - 6*t[82] + (17*t[84])/2 + (7*t[85])/2 + 23*t[86] - 
       (25*t[87])/2 - (25*t[88])/4 + (45*t[89])/2 + 24*t[98] - 24*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((13*t[1])/4 - (69*t[2])/4 - (97*t[3])/16 - (627*t[4])/8 + 
       (903*t[5])/32 - (935*t[6])/16 + (359*t[7])/8 + (89*t[8])/2 + 
       (299*t[9])/32 + (1265*t[10])/16 + (741*t[11])/8 + (1895*t[12])/32 + 
       (4829*t[13])/72 + t[14]/2 + (1303*t[15])/192 + 7*t[18] + 4*t[20] + 
       7*t[21] - t[22] - 7*t[23] + 8*t[24] + 5*t[27] - t[29] + 6*t[30] - 
       9*t[31] - 2*t[32] + 6*t[33] + 13*t[34] - 4*t[35] - 3*t[36] - 4*t[37] + 
       t[38] - 6*t[39] + (9*t[40])/2 + (25*t[41])/4 - (11*t[42])/4 - 
       (115*t[43])/16 - (5*t[44])/2 - (7*t[45])/4 + (9*t[46])/4 + 24*t[47] - 
       (63*t[48])/16 - (293*t[49])/16 - (87*t[50])/16 + (383*t[51])/32 - 
       (137*t[52])/16 + (293*t[53])/16 + (201*t[54])/16 - t[58]/2 - 
       (29*t[59])/4 + (21*t[60])/2 + (977*t[61])/8 - (3837*t[62])/16 - 
       (1987*t[63])/16 + (1821*t[64])/16 + (4543*t[65])/24 - 
       (4097*t[66])/24 - 2*t[67] - 12*t[69] - 5*t[70] + 5*t[71] + 5*t[72] - 
       6*t[73] + 3*t[74] + 3*t[75] + 20*t[76] + t[77] - (13*t[78])/2 + 
       36*t[79] + (191*t[80])/2 + (29*t[81])/2 + (19*t[82])/2 + 
       (19*t[83])/2 - (5*t[84])/2 - (41*t[85])/2 + (379*t[86])/4 + 
       (19*t[87])/2 + (19*t[88])/4 + (41*t[89])/4 + (5*t[97])/2 + 84*t[98] - 
       78*t[99] - 24*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*(10*t[1] + 24*t[2] - (83*t[3])/16 - 
       (369*t[4])/8 - (1011*t[5])/32 - (269*t[6])/8 + (1313*t[7])/16 + 
       (329*t[8])/16 + (4631*t[9])/32 - 47*t[10] + (361*t[11])/4 + 
       (2213*t[12])/32 + (11111*t[13])/288 + (225*t[14])/8 - 
       (4921*t[15])/192 + 4*t[18] - 4*t[20] + 9*t[21] - 14*t[22] - 13*t[23] + 
       10*t[24] - 5*t[25] + 4*t[26] - 2*t[29] - 3*t[30] - 22*t[31] - t[32] - 
       3*t[33] + (47*t[34])/2 - 28*t[35] - 3*t[36] - 7*t[37] - 2*t[38] + 
       3*t[39] - 4*t[40] + t[41]/2 + 3*t[42] - (115*t[43])/8 + (7*t[44])/2 - 
       (181*t[45])/8 + (17*t[46])/4 + (205*t[47])/4 + (87*t[48])/16 - 
       (155*t[49])/16 + (279*t[50])/16 + (141*t[51])/32 - (367*t[52])/16 + 
       (155*t[53])/16 - (25*t[54])/16 + (7*t[58])/2 - (29*t[59])/4 + 
       (21*t[60])/2 + (977*t[61])/8 - (3837*t[62])/16 - (1987*t[63])/16 + 
       (1821*t[64])/16 + (4543*t[65])/24 - (4097*t[66])/24 - 2*t[67] - 
       12*t[69] - 5*t[70] + 5*t[71] + 5*t[72] - 6*t[73] + 3*t[74] + 3*t[75] + 
       20*t[76] + t[77] - (13*t[78])/2 + 36*t[79] + (191*t[80])/2 + 
       (29*t[81])/2 + (19*t[82])/2 + (19*t[83])/2 - (5*t[84])/2 - 
       (41*t[85])/2 + (379*t[86])/4 + (19*t[87])/2 + (19*t[88])/4 + 
       (41*t[89])/4 + (5*t[97])/2 + 84*t[98] - 78*t[99] - 24*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      (t[1]/3 - (31*t[2])/4 - (71*t[3])/24 + (29*t[4])/2 - (221*t[5])/48 + 
       (67*t[6])/12 - (177*t[7])/8 + (187*t[8])/8 - (815*t[9])/48 - 
       (189*t[10])/8 - t[11]/2 - (379*t[12])/48 + (3235*t[13])/432 - 
       (1945*t[14])/144 - (2743*t[15])/288 + (4*t[18])/3 + t[19] - 
       (2*t[20])/3 + (7*t[21])/3 + (8*t[22])/3 - (7*t[23])/3 + (2*t[24])/3 - 
       (10*t[27])/3 + t[28] - (4*t[29])/3 - t[30] - (14*t[32])/3 + 4*t[33] - 
       (29*t[34])/3 + 2*t[36] - t[37] + (7*t[38])/3 - 3*t[39] + 8*t[40] + 
       (5*t[41])/6 - t[42]/6 - (5*t[43])/3 - (10*t[44])/3 + (23*t[45])/12 - 
       t[46] + (17*t[47])/2 + (109*t[48])/8 - (14*t[49])/3 - (197*t[50])/24 + 
       (29*t[51])/6 + (13*t[52])/24 + (14*t[53])/3 + (253*t[54])/24 + 
       (4*t[58])/3 - (3*t[59])/2 + (4*t[60])/3 + (271*t[61])/12 + 
       (195*t[62])/8 - (523*t[63])/8 + (225*t[64])/8 + (793*t[65])/36 - 
       (535*t[66])/36 - (2*t[70])/3 + (2*t[71])/3 - (4*t[72])/3 + 4*t[73] + 
       4*t[74] - 4*t[75] - (28*t[76])/3 - (14*t[77])/3 + (25*t[78])/3 - 
       4*t[79] + t[80]/3 - (13*t[81])/3 - (23*t[82])/3 - (13*t[83])/3 + 
       (29*t[84])/3 - (55*t[85])/3 + (37*t[86])/6 + (73*t[87])/3 + 
       (73*t[88])/6 + (167*t[89])/6 - (5*t[97])/3 - 56*t[98] + 72*t[99] - 
       24*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*((515*t[1])/144 + (719*t[2])/72 - (197*t[3])/144 - 
       (1133*t[4])/144 + (3373*t[5])/144 + (9301*t[6])/576 - (721*t[7])/192 - 
       (7637*t[8])/576 - (4277*t[9])/192 - (2009*t[10])/72 + 
       (3665*t[11])/576 - (4229*t[12])/192 - (58223*t[13])/5184 + 
       (9037*t[14])/1152 + (45115*t[15])/3456 + (5*t[18])/72 + t[20]/4 + 
       (11*t[23])/36 + (11*t[24])/36 + (217*t[31])/72 + t[32]/4 + t[34]/4 - 
       t[40]/2 + (265*t[41])/144 - (245*t[42])/144 + (2465*t[43])/192 - 
       (4483*t[45])/288 + (155*t[46])/48 + (1969*t[47])/144 + 
       (1915*t[48])/576 - (3977*t[49])/576 - (2293*t[50])/576 + 
       (1187*t[51])/1152 + (2293*t[52])/576 + (3977*t[53])/576 + 
       (989*t[54])/192 + (53*t[59])/12 + (521*t[60])/72 + (803*t[61])/18 + 
       (6335*t[62])/144 + (851*t[63])/48 - (2263*t[64])/144 - 
       (524*t[65])/27 + (79*t[66])/54 - 4*t[69] + 2*t[70] - 2*t[71] - t[72] + 
       13*t[74] + t[77] - (47*t[79])/3 + (283*t[80])/12 - (7*t[81])/12 + 
       (7*t[82])/12 - (79*t[83])/9 + (17*t[84])/6 + (19*t[85])/24 - 
       (527*t[86])/18 - (205*t[87])/72 - (205*t[88])/144 + (51*t[89])/16 - 
       (70*t[100])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - w]*(-t[1]/4 - (7*t[2])/8 + 19*t[3] + 
       (131*t[4])/4 - 12*t[5] + (327*t[6])/16 - (207*t[7])/4 - (201*t[8])/8 - 
       (139*t[9])/4 - (271*t[10])/8 - (379*t[11])/16 - (49*t[12])/4 - 
       (2039*t[13])/144 - (1013*t[14])/48 - (251*t[15])/48 + (3*t[17])/4 + 
       (3*t[18])/2 - 2*t[20] + 2*t[21] + (3*t[23])/2 + (13*t[24])/2 - 
       2*t[27] + 4*t[31] - 2*t[32] + t[35] + t[37] + 2*t[40] - (9*t[41])/4 + 
       (13*t[42])/2 + 11*t[43] - (81*t[45])/4 + (9*t[46])/2 + 14*t[47] + 
       (77*t[48])/16 + t[49]/4 - (283*t[50])/16 - (5*t[51])/2 + 
       (251*t[52])/16 - t[53]/4 + (131*t[54])/16 - (19*t[59])/4 + 
       (103*t[60])/8 + (29*t[61])/8 + (1827*t[62])/16 + (833*t[63])/16 - 
       (913*t[64])/16 - (23*t[65])/2 + (211*t[66])/6 - t[67]/4 - 2*t[69] - 
       t[70] + t[71] + 2*t[72] + (25*t[74])/2 - 2*t[77] - 12*t[79] + 
       2*t[80] + (19*t[81])/4 - (19*t[82])/4 - 12*t[83] + t[84] + 
       (89*t[85])/8 - (211*t[86])/2 - (65*t[87])/8 - (65*t[88])/16 + 
       (3*t[89])/16 - (45*t[100])/2) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*(t[1]/4 + t[2]/2 + (109*t[3])/8 + 
       (247*t[4])/8 - t[5]/4 + 14*t[6] - (289*t[7])/8 - (367*t[8])/8 - 
       (123*t[9])/4 - (607*t[10])/16 - t[11]/4 - (221*t[12])/16 - 
       (463*t[13])/36 - (469*t[14])/32 - (371*t[15])/48 + t[18] + 
       (7*t[23])/2 + (7*t[24])/2 + (7*t[31])/2 + (3*t[41])/2 + (3*t[42])/2 + 
       (153*t[43])/8 - 25*t[45] + 20*t[47] + (11*t[48])/4 + (17*t[49])/16 - 
       8*t[50] - (17*t[51])/32 + 8*t[52] - (17*t[53])/16 + (11*t[54])/8 - 
       2*t[59] + (59*t[60])/8 + (277*t[61])/8 + (1109*t[62])/16 + 
       (607*t[63])/16 - (323*t[64])/16 - (235*t[65])/8 - (431*t[66])/24 - 
       (3*t[69])/2 + t[70]/2 - t[71]/2 + 3*t[74] - 10*t[79] + (3*t[81])/2 - 
       (3*t[82])/2 - (15*t[83])/2 - t[84]/8 + (39*t[85])/8 - (163*t[86])/2 - 
       (5*t[87])/8 - (5*t[88])/16 + (281*t[89])/16 - (45*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*((5*t[1])/2 - (3*t[2])/2 - 
       (33*t[3])/2 - (13*t[4])/4 + (105*t[5])/8 + (617*t[6])/16 - 
       (15*t[7])/2 - (31*t[8])/4 - (111*t[9])/8 - (23*t[10])/4 + 
       (205*t[11])/16 - (43*t[12])/8 - (67*t[13])/144 + (351*t[14])/16 + 
       (419*t[15])/24 + t[21]/2 - t[23]/2 + 3*t[31] + t[41]/4 - t[42]/4 + 
       (39*t[43])/4 - t[45]/4 + (3*t[46])/2 - (5*t[47])/2 + (9*t[48])/16 - 
       (9*t[49])/2 - (67*t[50])/16 + (9*t[51])/8 + (67*t[52])/16 + 
       (9*t[53])/2 + (31*t[54])/16 - 2*t[59] + (59*t[60])/8 + (277*t[61])/8 + 
       (1109*t[62])/16 + (607*t[63])/16 - (323*t[64])/16 - (235*t[65])/8 - 
       (431*t[66])/24 - (3*t[69])/2 + t[70]/2 - t[71]/2 + 3*t[74] - 
       10*t[79] + (3*t[81])/2 - (3*t[82])/2 - (15*t[83])/2 - t[84]/8 + 
       (39*t[85])/8 - (163*t[86])/2 - (5*t[87])/8 - (5*t[88])/16 + 
       (281*t[89])/16 - (45*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Qep[u, v, w]*((88*t[1])/3 + (40*t[2])/9 + (212*t[3])/9 + 44*t[4] + 
       58*t[5] + (2*t[6])/3 - (980*t[7])/9 - 108*t[8] - (1298*t[9])/9 - 
       (428*t[10])/9 - (1064*t[11])/9 - (266*t[12])/3 - (517*t[13])/9 - 
       (1814*t[14])/27 + (371*t[15])/9 - (40*t[41])/9 + (40*t[42])/9 + 
       (124*t[43])/9 - (320*t[45])/9 + (112*t[46])/9 - (128*t[47])/9 - 
       (176*t[49])/9 + (64*t[50])/9 + (4*t[51])/9 - (64*t[52])/9 + 
       (176*t[53])/9 - (32*t[54])/9 + (32*t[59])/3 - (104*t[60])/9 - 
       168*t[61] + (3520*t[62])/9 + (136*t[63])/9 - 260*t[64] - 
       (3176*t[65])/27 + (3320*t[66])/9 + (352*t[74])/9 - 32*t[79] + 
       (64*t[80])/9 - (80*t[81])/9 + (80*t[82])/9 - (64*t[83])/9 + 
       (32*t[84])/9 - (56*t[85])/9 - (2432*t[86])/9 - (8*t[87])/9 - 
       (4*t[88])/9 - (44*t[89])/3 - (64*t[100])/3) + 
     HPL[{1}, 1 - v]^2*Qep[u, v, w]*((-56*t[1])/9 - (16*t[3])/9 - 
       (224*t[4])/9 + (56*t[5])/3 + (200*t[6])/9 + (44*t[7])/3 + 
       (164*t[8])/9 + (88*t[9])/9 + (172*t[10])/3 + (248*t[11])/9 - 
       (8*t[12])/3 + (2032*t[13])/81 + (514*t[14])/27 - (20*t[15])/9 - 
       (32*t[43])/9 - (8*t[46])/3 + (8*t[48])/3 + (64*t[49])/9 - 
       (8*t[50])/9 - (14*t[51])/9 + (8*t[52])/9 - (64*t[53])/9 + 
       (40*t[54])/9 - (8*t[59])/9 + (304*t[60])/9 + (928*t[61])/9 - 
       (880*t[62])/9 + (16*t[63])/3 + (176*t[64])/9 + (1072*t[65])/27 - 
       (3712*t[66])/27 - (16*t[74])/3 + 16*t[79] - (416*t[80])/3 + 
       (32*t[83])/9 + (16*t[84])/3 - (16*t[85])/3 + (80*t[86])/9 - 
       (80*t[87])/9 - (40*t[88])/9 + (8*t[89])/3 - (64*t[100])/3) + 
     HPL[{0, 1}, 1 - v]*M1[v, u, w]*((-13*t[1])/12 - (5*t[2])/3 - 
       (47*t[3])/6 - (13*t[4])/4 - (37*t[5])/6 + (61*t[6])/8 + (97*t[7])/8 + 
       (701*t[8])/24 + (323*t[9])/24 + (34*t[10])/3 + (62*t[11])/3 + 
       (247*t[12])/24 + (5255*t[13])/432 + (893*t[14])/48 + (145*t[15])/144 + 
       (2*t[18])/3 - (2*t[20])/3 - t[21]/3 + (5*t[22])/3 + t[23]/3 + 
       (5*t[24])/3 + (2*t[25])/3 - t[26]/3 - t[29]/3 + t[30] + t[31]/3 + 
       t[32]/3 - (5*t[34])/6 + t[38]/6 - t[40]/6 + (17*t[41])/12 - 
       (19*t[42])/12 - (77*t[43])/24 - (2*t[44])/3 + (53*t[45])/12 - 
       (7*t[46])/6 - t[47] + (7*t[48])/6 + (11*t[49])/8 + (13*t[51])/48 - 
       (7*t[52])/6 - (11*t[53])/8 + (11*t[54])/12 + t[58]/3 + t[59] + 
       (173*t[60])/12 + (743*t[61])/12 - (147*t[62])/4 - (33*t[63])/4 - 
       (75*t[64])/8 + (385*t[65])/18 - (1775*t[66])/36 + t[69] - t[70]/3 + 
       t[71]/3 + t[72]/3 - 2*t[74] - t[76]/6 + (8*t[77])/3 + (5*t[78])/3 - 
       (13*t[80])/3 + (11*t[81])/6 - (16*t[82])/3 - (2*t[83])/3 + 
       (13*t[84])/3 + (4*t[85])/3 + (4*t[86])/3 - (13*t[87])/3 - 
       (13*t[88])/6 + (115*t[89])/24 - t[97]/3 - 4*t[98] + 12*t[99] - 
       21*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((-2*t[1])/3 - (7*t[2])/8 - (425*t[3])/96 + (169*t[4])/16 - 
       (2837*t[5])/192 - (31*t[6])/96 - (103*t[7])/16 + (15*t[8])/4 + 
       (1375*t[9])/192 - (127*t[10])/32 + (13*t[11])/16 + (215*t[12])/192 - 
       (851*t[13])/432 + (1921*t[14])/288 - (4069*t[15])/1152 + t[18]/3 - 
       t[19]/2 - t[20]/6 + t[21]/3 + (7*t[22])/6 - t[23]/3 - (5*t[24])/6 + 
       t[25]/2 - t[26]/2 - (11*t[27])/6 + t[28]/2 - t[29]/3 + (3*t[31])/2 - 
       (13*t[32])/6 + (3*t[33])/2 - (41*t[34])/12 + t[36]/2 + (5*t[38])/6 - 
       t[39] + (15*t[40])/4 + t[41]/3 - t[42]/6 - (187*t[43])/96 - 
       (13*t[44])/12 + (55*t[45])/24 + (3*t[46])/8 - t[47]/2 + 
       (87*t[48])/32 - (31*t[49])/96 - (251*t[50])/96 + (145*t[51])/192 - 
       (125*t[52])/96 + (31*t[53])/96 + (385*t[54])/96 + (7*t[58])/12 - 
       t[59]/2 + (169*t[60])/12 + (745*t[61])/48 + (455*t[62])/32 - 
       (735*t[63])/32 - (569*t[64])/32 + (673*t[65])/144 - (1873*t[66])/144 + 
       t[69] + t[70]/3 - t[71]/3 - (5*t[72])/6 + t[73] + t[74] - t[75] - 
       (37*t[76])/12 - (7*t[77])/6 + (13*t[78])/3 - (143*t[80])/12 - 
       t[81]/12 - (17*t[82])/3 - t[83]/3 + (139*t[84])/24 - (101*t[85])/24 - 
       (161*t[86])/24 - (25*t[87])/24 - (25*t[88])/48 + (281*t[89])/24 - 
       (2*t[97])/3 - 20*t[98] + 33*t[99] - 21*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]^2*((5*t[1])/12 + (107*t[2])/48 - 
       (313*t[3])/96 - (51*t[4])/16 + (575*t[5])/192 + (29*t[6])/3 - 
       (229*t[7])/96 + (341*t[8])/32 - (1699*t[9])/192 - (29*t[10])/4 + 
       (227*t[11])/48 - (661*t[12])/192 - (965*t[13])/1728 + 
       (1433*t[14])/288 + (7889*t[15])/1152 - t[18]/6 + (2*t[20])/3 - 
       t[21]/6 - t[22]/6 + t[23]/6 - t[24]/6 + (4*t[25])/3 - (2*t[26])/3 - 
       t[27]/2 - t[29]/6 + t[30] + t[31]/12 + (2*t[32])/3 - (7*t[34])/6 - 
       (19*t[35])/12 + t[36]/2 - (5*t[37])/12 - t[38]/6 - (13*t[40])/12 + 
       (11*t[41])/24 - (13*t[42])/24 + (35*t[43])/16 - t[44]/12 + 
       (55*t[45])/48 + (7*t[46])/6 - (43*t[47])/8 + (95*t[48])/32 - 
       (79*t[49])/32 + (37*t[50])/96 - (43*t[51])/192 + (41*t[52])/32 + 
       (79*t[53])/32 + (111*t[54])/32 - t[58]/12 - (5*t[59])/8 - 
       (9*t[60])/4 + (187*t[61])/16 + (2083*t[62])/96 + (71*t[63])/32 + 
       (1391*t[64])/96 - (557*t[65])/72 + (403*t[66])/72 - t[67]/24 - 
       (11*t[69])/12 + t[70]/6 - t[71]/6 - (5*t[72])/6 + t[73] + 
       (13*t[74])/4 - t[75]/2 - (17*t[76])/6 - (7*t[77])/6 + (31*t[78])/12 - 
       (7*t[79])/3 + (7*t[80])/4 - (23*t[81])/24 - (49*t[82])/24 - 
       (119*t[83])/24 + (47*t[84])/16 - 5*t[85] - (353*t[86])/24 + 
       (139*t[87])/24 + (139*t[88])/48 + (65*t[89])/16 - (5*t[97])/12 - 
       14*t[98] + 19*t[99] - (83*t[100])/4) + HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w]^2*(t[1]/3 - (67*t[2])/48 + (41*t[3])/96 + 
       (105*t[4])/16 + (929*t[5])/192 + (187*t[6])/32 - (311*t[7])/24 + 
       (83*t[8])/48 - (745*t[9])/64 - (1163*t[10])/96 - (43*t[11])/12 - 
       (573*t[12])/64 - (391*t[13])/864 - (293*t[14])/72 - (337*t[15])/384 + 
       t[18]/6 + (2*t[19])/3 - (2*t[20])/3 + (7*t[21])/12 + (2*t[22])/3 - 
       t[23]/6 + t[24]/2 + t[25]/2 - t[26]/2 - (4*t[27])/3 - t[29]/3 - 
       t[30]/2 - t[31]/6 - (7*t[32])/6 + t[33]/2 - (35*t[34])/12 + 
       (7*t[35])/12 + t[36]/2 - t[37]/12 + t[38]/3 - t[39]/2 + 2*t[40] + 
       t[41]/24 + (3*t[42])/8 + (233*t[43])/96 - (13*t[44])/12 - 
       (97*t[45])/24 - (3*t[46])/8 + (55*t[47])/12 + (545*t[48])/96 - 
       (11*t[49])/96 - (355*t[50])/96 + (89*t[51])/192 + (73*t[52])/32 + 
       (11*t[53])/96 + (123*t[54])/32 + t[58]/12 - (5*t[59])/8 - 
       (9*t[60])/4 + (187*t[61])/16 + (2083*t[62])/96 + (71*t[63])/32 + 
       (1391*t[64])/96 - (557*t[65])/72 + (403*t[66])/72 - t[67]/24 - 
       (11*t[69])/12 + t[70]/6 - t[71]/6 - (5*t[72])/6 + t[73] + 
       (13*t[74])/4 - t[75]/2 - (17*t[76])/6 - (7*t[77])/6 + (31*t[78])/12 - 
       (7*t[79])/3 + (7*t[80])/4 - (23*t[81])/24 - (49*t[82])/24 - 
       (119*t[83])/24 + (47*t[84])/16 - 5*t[85] - (353*t[86])/24 + 
       (139*t[87])/24 + (139*t[88])/48 + (65*t[89])/16 - (5*t[97])/12 - 
       14*t[98] + 19*t[99] - (83*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*((-25*t[1])/12 - (39*t[2])/8 + 
       (173*t[3])/16 - (323*t[4])/16 + (5129*t[5])/96 + (1283*t[6])/32 - 
       (1367*t[7])/24 + (2081*t[8])/24 - (3883*t[9])/32 + (85*t[10])/16 - 
       (409*t[11])/24 - (3365*t[12])/96 - (2731*t[13])/1728 - 
       (2021*t[14])/72 + (17851*t[15])/576 - (7*t[18])/3 + (10*t[20])/3 - 
       (10*t[21])/3 + (29*t[22])/3 + (10*t[23])/3 - (7*t[24])/3 + 
       (23*t[25])/3 - (55*t[26])/12 - t[27] - 2*t[28] + (5*t[29])/3 + 
       3*t[30] + (11*t[31])/6 + (16*t[32])/3 - 2*t[33] - (277*t[34])/12 - 
       2*t[35] + 4*t[36] + (11*t[38])/3 + 2*t[39] - (29*t[40])/12 + 
       (5*t[41])/4 - (29*t[42])/12 + (161*t[43])/24 + (5*t[44])/6 + 
       (611*t[45])/24 + t[46]/4 - (245*t[47])/6 + (263*t[48])/12 - 
       (733*t[49])/48 - (151*t[50])/12 + (141*t[51])/32 + (47*t[52])/3 + 
       (733*t[53])/48 + (293*t[54])/24 - (17*t[58])/12 - t[59]/2 - 
       (275*t[60])/12 + (667*t[61])/24 + (5033*t[62])/48 - (1789*t[63])/48 + 
       (993*t[64])/16 - (271*t[65])/18 + (583*t[66])/9 + (14*t[70])/3 - 
       (14*t[71])/3 - (20*t[72])/3 + 6*t[73] + (23*t[74])/3 - 4*t[75] - 
       (157*t[76])/6 - (17*t[77])/6 + (50*t[78])/3 + 4*t[79] - 
       (401*t[80])/12 - 14*t[81] - 14*t[82] - (115*t[83])/3 + 
       (209*t[84])/12 - 32*t[85] - (173*t[86])/4 + (130*t[87])/3 + 
       (65*t[88])/3 + (619*t[89])/24 - (23*t[97])/6 - 148*t[98] + 162*t[99] - 
       (41*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((29*t[1])/3 - (59*t[2])/2 - (451*t[3])/24 - 
       (991*t[4])/24 + (479*t[5])/48 + (361*t[6])/24 + (491*t[7])/24 + 
       (977*t[8])/24 + (1213*t[9])/48 - (4909*t[10])/48 + (311*t[11])/6 + 
       (97*t[12])/24 + (3671*t[13])/108 - (6271*t[14])/288 - 
       (3073*t[15])/288 + (2*t[16])/3 + (2*t[18])/3 - (8*t[19])/3 - t[21] + 
       (4*t[22])/3 + t[23] - 2*t[24] + (7*t[25])/3 - (13*t[26])/3 - t[27]/3 - 
       4*t[28] - t[29] - 2*t[30] - 6*t[31] + (4*t[32])/3 - (4*t[33])/3 + 
       (4*t[34])/3 + 10*t[35] + 8*t[37] + 2*t[38] + 3*t[39] - (11*t[40])/3 - 
       (2*t[41])/3 + t[42] + (17*t[43])/3 + t[44]/3 - 7*t[45] - 
       (31*t[46])/6 + (92*t[47])/3 + (131*t[48])/8 - (231*t[49])/16 - 
       (275*t[50])/24 + (1429*t[51])/96 + (371*t[52])/24 + (1085*t[53])/48 + 
       (119*t[54])/6 + (2*t[58])/3 - (5*t[59])/6 - (643*t[60])/24 + 
       (1193*t[61])/24 + (385*t[62])/48 - (611*t[63])/16 + (14965*t[64])/48 + 
       (3967*t[65])/72 - (9127*t[66])/72 + (2*t[68])/3 + t[69] - 6*t[70] + 
       6*t[71] + 3*t[72] + 2*t[73] - (22*t[74])/3 + 8*t[75] + 5*t[76] - 
       (7*t[77])/6 - 8*t[78] + 24*t[79] + (77*t[80])/3 + (28*t[81])/3 + 
       13*t[82] - (41*t[83])/2 + (29*t[84])/24 + (133*t[85])/24 - 
       (50*t[86])/3 + (421*t[87])/24 - (73*t[88])/16 + (1663*t[89])/48 + 
       (16*t[95])/3 + (8*t[96])/3 - (8*t[97])/3 + 40*t[98] - 40*t[99] - 
       20*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      ((21*t[1])/8 - (115*t[2])/288 - (29*t[3])/9 - (811*t[4])/72 + 
       (191*t[5])/288 - (385*t[6])/48 + (1583*t[7])/96 + (1757*t[8])/288 + 
       (763*t[9])/96 + (115*t[10])/288 - (1777*t[11])/144 - (19*t[12])/16 - 
       (2117*t[13])/1296 + (77*t[14])/9 + (5431*t[15])/864 - t[18]/8 + 
       t[19]/2 + t[21]/2 + t[22]/2 - (11*t[23])/18 - t[24]/9 + t[28] - 
       t[30]/2 - (10*t[31])/9 + t[32] - t[33] + 4*t[34] - t[35] - t[37]/2 - 
       t[38] + (3*t[39])/2 - (5*t[40])/2 - (55*t[41])/72 + (65*t[42])/144 - 
       (197*t[43])/48 + (3*t[44])/2 - (263*t[45])/144 + (7*t[46])/3 - 
       (175*t[47])/72 + (157*t[48])/144 - (101*t[49])/144 + (509*t[50])/144 - 
       (331*t[51])/288 - (149*t[52])/144 + (101*t[53])/144 + (17*t[54])/16 + 
       (91*t[59])/144 - (187*t[60])/72 - (1577*t[61])/144 - 
       (4811*t[62])/288 + (353*t[63])/96 - (467*t[64])/288 - 
       (3665*t[65])/432 + (4727*t[66])/432 - (3*t[69])/4 + (3*t[72])/4 - 
       (25*t[74])/24 + (7*t[76])/2 + (5*t[77])/4 - 2*t[78] + (3*t[79])/8 + 
       (43*t[80])/4 + t[81]/24 + (47*t[82])/24 - (95*t[83])/72 + 
       (13*t[84])/48 - (49*t[85])/24 + (1061*t[86])/36 - (149*t[87])/36 - 
       (149*t[88])/72 - (37*t[89])/4 + t[97]/2 + 24*t[98] - 24*t[99] - 
       (235*t[100])/12) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((-67*t[1])/36 - (43*t[2])/24 - 
       (13*t[3])/24 - (167*t[4])/48 + (143*t[5])/96 - (575*t[6])/96 - 
       (1313*t[7])/96 + (31*t[8])/96 - (301*t[9])/32 - (143*t[10])/96 - 
       (1931*t[11])/96 - (769*t[12])/96 - (10867*t[13])/864 - 
       (835*t[14])/288 + (199*t[15])/144 - t[18]/3 + t[19]/2 - t[20]/3 + 
       (2*t[21])/3 + t[22]/3 - (2*t[23])/3 - (2*t[24])/3 - t[26]/2 - 
       (2*t[27])/3 - t[28]/2 - (2*t[29])/3 - t[30]/2 + t[31]/12 - t[32]/3 - 
       (4*t[34])/3 + t[36] + t[38]/6 + t[39]/2 + (3*t[40])/2 + 
       (13*t[41])/12 - (5*t[42])/4 + (163*t[43])/96 - (2*t[44])/3 - 
       (10*t[45])/3 + t[46]/12 - t[47]/6 + (143*t[48])/96 - (203*t[49])/48 - 
       (385*t[50])/96 + (101*t[51])/96 + (161*t[52])/96 + (203*t[53])/48 + 
       (613*t[54])/96 - t[58]/3 + (115*t[59])/36 - (77*t[60])/48 - 
       (193*t[61])/24 + (835*t[62])/24 + 17*t[63] - (143*t[64])/8 - 
       (10*t[65])/3 + (245*t[66])/6 - 2*t[69] + (2*t[70])/3 - (2*t[71])/3 + 
       t[72]/3 - t[73] + (10*t[74])/3 + (3*t[75])/2 + (5*t[76])/6 + t[77]/6 - 
       t[78]/3 - (37*t[79])/12 + (37*t[80])/12 - (19*t[81])/24 + 
       (43*t[82])/24 - (23*t[83])/6 + 2*t[84] - (59*t[85])/16 - 
       (667*t[86])/24 + (3*t[87])/16 + (3*t[88])/32 - (195*t[89])/32 + 
       t[97]/6 + 8*t[98] - 8*t[99] - 19*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (-t[1]/2 + (10*t[2])/3 - (29*t[3])/24 + (41*t[4])/4 - (19*t[5])/48 + 
       (29*t[6])/6 - (343*t[7])/24 - (269*t[8])/24 - (13*t[9])/48 - 8*t[10] - 
       (133*t[11])/24 - (479*t[12])/48 - (2869*t[13])/216 + (13*t[14])/2 + 
       (229*t[15])/96 - t[21] + t[23] + t[24] + (2*t[31])/3 - (4*t[35])/3 + 
       (2*t[41])/3 - (2*t[42])/3 + (13*t[43])/6 - (59*t[45])/6 + 
       (17*t[46])/6 + (28*t[47])/3 + (23*t[48])/12 - (25*t[49])/24 - 
       (23*t[50])/12 - (53*t[51])/48 + (23*t[52])/12 + (25*t[53])/24 + 
       (4*t[54])/3 + (4*t[59])/3 + (29*t[60])/3 + (85*t[61])/6 + 
       (209*t[62])/4 + (131*t[63])/12 - (731*t[64])/12 - (905*t[65])/36 + 
       (127*t[66])/6 + t[69] - t[72] + (31*t[74])/3 + t[77] - (35*t[79])/3 + 
       (15*t[80])/2 - t[81]/3 + t[82]/3 - (9*t[83])/2 + (7*t[84])/4 + 
       (17*t[85])/12 - (157*t[86])/3 - (107*t[87])/12 - (107*t[88])/24 - 
       (97*t[89])/12 - (37*t[100])/2) + HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - w]^2*(t[1]/4 + 3*t[2] - (145*t[3])/64 - (11*t[4])/4 + 
       (135*t[5])/128 - (283*t[6])/64 + (531*t[7])/64 + (31*t[8])/64 + 
       (965*t[9])/128 + (145*t[10])/64 + (693*t[11])/64 + (229*t[12])/128 + 
       (2171*t[13])/384 + (4195*t[14])/384 + (3689*t[15])/768 - t[22]/2 + 
       t[25]/2 - t[26]/2 + t[27]/2 - (3*t[29])/4 + t[30]/4 - t[31] + t[32] - 
       t[33] + (9*t[34])/4 - (3*t[36])/4 - t[37]/2 - t[38]/2 + t[39] - 
       (5*t[40])/4 + (3*t[41])/8 - (3*t[42])/8 + (51*t[43])/32 - 
       (51*t[45])/32 + t[46]/2 + (11*t[47])/16 - (23*t[48])/8 + 
       (29*t[49])/32 + (15*t[50])/8 - (53*t[51])/64 - (13*t[52])/8 - 
       (29*t[53])/32 - (39*t[54])/16 - t[58]/2 + (9*t[59])/8 + 
       (29*t[60])/16 + (617*t[61])/32 - (1053*t[62])/64 + (1045*t[63])/64 - 
       (851*t[64])/64 + (41*t[65])/96 - (1819*t[66])/96 - t[69]/2 - t[70]/2 + 
       t[71]/2 + t[72] - 2*t[73] - t[74]/4 + (3*t[75])/2 + (11*t[76])/4 + 
       (3*t[77])/4 - (5*t[78])/4 - t[79] + (69*t[80])/8 + (13*t[81])/8 + 
       (15*t[82])/8 + (11*t[83])/2 - (5*t[84])/8 + (21*t[85])/16 + 
       (45*t[86])/16 - (65*t[87])/16 - (65*t[88])/32 - (243*t[89])/32 + 
       t[97]/2 + 15*t[98] - 13*t[99] - (73*t[100])/4) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (t[1]/4 - (979*t[2])/144 - (683*t[3])/72 + (919*t[4])/72 - 
       (2647*t[5])/144 + (137*t[6])/12 + (227*t[7])/16 - (1567*t[8])/144 + 
       (517*t[9])/24 + (227*t[10])/72 + (265*t[11])/36 + (27*t[12])/16 - 
       (8323*t[13])/1296 + (6997*t[14])/288 - (1171*t[15])/216 - t[17]/2 + 
       (13*t[18])/12 + (2*t[19])/3 - t[21] + t[22] + (10*t[23])/9 - 
       (8*t[24])/9 + 2*t[28] - t[30] + (28*t[31])/9 - t[32] + t[35] + t[37] + 
       t[39] + (37*t[41])/18 - (307*t[42])/72 - t[43]/8 - t[44] - 
       (23*t[45])/18 + (79*t[47])/18 - (101*t[48])/72 + (95*t[49])/144 - 
       (109*t[50])/72 - (329*t[51])/288 + (109*t[52])/72 - (95*t[53])/144 + 
       (25*t[54])/12 + (235*t[59])/72 + (2083*t[60])/72 + (3565*t[61])/72 - 
       (467*t[62])/144 + (347*t[63])/16 - (8123*t[64])/144 - 
       (2675*t[65])/216 - (4375*t[66])/216 + t[67]/2 - (3*t[69])/2 + 
       (3*t[72])/2 - (25*t[74])/4 + t[77]/2 - (41*t[79])/4 - t[80]/6 + 
       (7*t[81])/6 - (13*t[82])/6 - (95*t[83])/36 + (89*t[84])/24 + 
       (67*t[85])/8 - (635*t[86])/36 - (1253*t[87])/72 - (1253*t[88])/144 + 
       (45*t[89])/16 - (109*t[100])/6) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - u]*(-6*t[1] + (11*t[3])/2 - (121*t[4])/4 + 
       (67*t[5])/8 + (37*t[6])/4 + (49*t[7])/4 + 14*t[8] + 7*t[9] + 
       (19*t[10])/8 + 41*t[11] + 15*t[12] + (1231*t[13])/72 + 
       (1015*t[14])/48 + (139*t[15])/48 + t[18] + t[23] + t[24] + 4*t[31] - 
       2*t[41] + (11*t[42])/2 + (13*t[43])/4 + 3*t[44] - (15*t[45])/4 + 
       t[46] + (27*t[47])/2 + 2*t[48] + (21*t[49])/8 - 7*t[50] - 
       (9*t[51])/16 + 7*t[52] - (21*t[53])/8 - (5*t[54])/4 - (9*t[59])/2 + 
       9*t[60] + (431*t[61])/4 - (767*t[62])/8 + (287*t[63])/8 + 
       (419*t[64])/8 + (125*t[65])/4 - (1583*t[66])/12 - 5*t[74] + 16*t[80] + 
       (11*t[81])/2 - (11*t[82])/2 - 6*t[83] + 2*t[84] + (37*t[85])/4 + 
       35*t[86] - (33*t[87])/4 - (33*t[88])/8 + (9*t[89])/4 - 18*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-19*t[1])/4 + 2*t[2] - (81*t[3])/8 - (193*t[4])/8 + (69*t[5])/8 + 
       (345*t[6])/16 + (377*t[7])/16 + (221*t[8])/16 + (99*t[9])/8 - 
       (121*t[10])/16 + (691*t[11])/16 + (51*t[12])/4 + (829*t[13])/144 + 
       (453*t[14])/16 + (245*t[15])/32 + (3*t[31])/2 + t[41] - t[42] + 
       (93*t[43])/16 + (7*t[45])/2 - t[46]/4 + 5*t[47] + (39*t[48])/16 - 
       (3*t[49])/8 - (57*t[50])/16 + (3*t[51])/8 + (57*t[52])/16 + 
       (3*t[53])/8 + (45*t[54])/16 - (3*t[59])/4 + (51*t[60])/8 + 
       (313*t[61])/4 - (331*t[62])/8 + (253*t[63])/8 + (181*t[64])/8 + 
       (27*t[65])/2 - (463*t[66])/6 - (5*t[74])/2 - 6*t[79] + 8*t[80] + 
       (11*t[81])/4 - (11*t[82])/4 - (9*t[83])/2 + (7*t[84])/4 + 
       (31*t[85])/8 + t[86]/4 - (39*t[87])/8 - (39*t[88])/16 + 
       (123*t[89])/16 - 18*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*((153*t[1])/2 - 18*t[2] + 75*t[3] + 
       (645*t[4])/2 + 39*t[5] + (75*t[6])/2 - (1083*t[7])/8 - (465*t[8])/8 - 
       (549*t[9])/8 - (2349*t[10])/8 - (39*t[11])/8 - 306*t[12] + 
       (1045*t[13])/48 - (4557*t[14])/16 - (3673*t[15])/48 + 8*t[18] + 
       t[19] - 6*t[20] + 6*t[22] - 72*t[26] - 6*t[32] - 3*t[34] - 
       (3*t[37])/2 + 72*t[38] - 18*t[41] + (333*t[43])/8 - (609*t[45])/4 + 
       (3*t[46])/2 + (261*t[47])/2 + (225*t[48])/8 + (147*t[49])/4 - 
       (207*t[50])/8 + (135*t[51])/16 + (207*t[52])/8 - (123*t[53])/4 - 
       (1347*t[54])/8 - (45*t[59])/2 + (1425*t[60])/4 - (2353*t[61])/4 + 
       (1433*t[62])/4 - (1539*t[63])/4 + (1035*t[64])/8 - 373*t[65] + 
       33*t[66] + 18*t[69] - 12*t[70] + 12*t[71] + 36*t[74] - 45*t[76] + 
       60*t[78] - 6*t[79] + 312*t[80] + 75*t[81] - 3*t[82] - 9*t[83] + 
       45*t[84] + 96*t[85] + 81*t[86] + 42*t[87] + 21*t[88] + (525*t[89])/8 - 
       18*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (-30*t[1] + 90*t[2] - (1461*t[3])/8 - (69*t[4])/4 - (63*t[5])/2 + 
       (687*t[6])/8 - (105*t[7])/8 - (297*t[8])/8 + (309*t[9])/8 - 
       (405*t[10])/2 - (399*t[11])/4 + (135*t[12])/8 + (1693*t[13])/48 + 
       (1239*t[14])/16 - (71*t[15])/4 + 6*t[21] - 6*t[23] - (225*t[29])/2 + 
       6*t[30] + 12*t[31] + 96*t[34] - 18*t[39] + (75*t[40])/4 + 
       (9*t[41])/2 - (9*t[42])/2 + (393*t[43])/8 + (27*t[44])/4 - 
       (33*t[45])/4 + (33*t[46])/2 - (75*t[47])/2 - (537*t[48])/4 - 
       (225*t[49])/8 - (159*t[50])/4 - (21*t[51])/16 + (159*t[52])/4 + 
       (249*t[53])/8 + 48*t[54] - (45*t[59])/2 + (1425*t[60])/4 - 
       (2353*t[61])/4 + (1433*t[62])/4 - (1539*t[63])/4 + (1035*t[64])/8 - 
       373*t[65] + 33*t[66] + 18*t[69] - 12*t[70] + 12*t[71] + 36*t[74] - 
       45*t[76] + 60*t[78] - 6*t[79] + 312*t[80] + 75*t[81] - 3*t[82] - 
       9*t[83] + 45*t[84] + 96*t[85] + 81*t[86] + 42*t[87] + 21*t[88] + 
       (525*t[89])/8 - 18*t[100]) + D28[u, v, w]*((-3*t[2])/4 - (5*t[3])/2 - 
       (7*t[4])/4 + (3*t[5])/4 + (13*t[6])/4 - (5*t[7])/2 - (3*t[8])/4 + 
       (11*t[9])/2 - (11*t[10])/8 + 5*t[11] + (31*t[12])/8 + (17*t[13])/12 + 
       (179*t[14])/48 - (7*t[15])/8 + t[17]/2 - 2*t[24] - t[46]/2 - t[48]/4 + 
       (5*t[49])/8 - t[50]/4 + t[51]/16 + t[52]/4 - (5*t[53])/8 + 8*t[60] + 
       14*t[61] + (27*t[62])/4 + (31*t[63])/4 - (11*t[64])/2 + (19*t[65])/6 - 
       (71*t[66])/6 + t[67] - 2*t[74] + 2*t[81] - 2*t[82] + 2*t[84] + t[85] - 
       16*t[86] - 5*t[87] - (5*t[88])/2 - t[89] - t[94] - 18*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-4*t[1] - (7*t[2])/2 - (143*t[3])/8 + (21*t[4])/2 - (365*t[5])/16 + 
       18*t[6] + (615*t[7])/8 - (193*t[8])/8 + (1693*t[9])/16 + 
       (623*t[10])/8 + 50*t[11] + (917*t[12])/16 + (4877*t[13])/144 + 
       (945*t[14])/16 - (1571*t[15])/96 + 2*t[18] - 2*t[20] + 2*t[21] + 
       2*t[22] - 2*t[23] + 8*t[24] - 4*t[25] + 2*t[26] + 3*t[28] - 4*t[29] - 
       9*t[30] + 7*t[31] - 2*t[32] + 11*t[34] - 6*t[36] - t[38] + 3*t[39] + 
       t[40] - t[41] + 2*t[42] - (67*t[43])/4 + t[44] + (17*t[45])/4 - 
       8*t[46] + (39*t[47])/2 - (167*t[48])/8 + (21*t[49])/2 + (81*t[50])/8 + 
       (13*t[51])/4 - (121*t[52])/8 - (21*t[53])/2 - (101*t[54])/8 + t[58] + 
       3*t[59] + (157*t[60])/2 + (857*t[61])/4 - (1269*t[62])/8 + 
       (645*t[63])/8 - (1611*t[64])/8 + (431*t[65])/12 - (1649*t[66])/12 + 
       6*t[69] + 2*t[70] - 2*t[71] + 10*t[72] - 12*t[73] - 12*t[74] + 
       12*t[75] + 10*t[76] + 14*t[77] - 4*t[78] - 43*t[80] + 10*t[81] + 
       2*t[82] - 2*t[83] + (5*t[84])/2 + (47*t[85])/2 - (103*t[86])/2 - 
       (137*t[87])/2 - (137*t[88])/4 - (121*t[89])/4 + 2*t[97] + 24*t[98] - 
       36*t[99] - 18*t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-7*t[1])/3 - 3*t[2] + (125*t[3])/96 + t[4]/8 + 
       (587*t[5])/192 + (245*t[6])/192 - (69*t[7])/64 - (679*t[8])/64 + 
       (167*t[9])/48 + (185*t[10])/64 - (141*t[11])/16 + (1213*t[12])/192 - 
       (13331*t[13])/3456 - (1505*t[14])/576 - (2653*t[15])/576 + t[18]/6 + 
       t[20]/6 + t[21]/6 - (7*t[22])/6 - t[23]/6 + (4*t[24])/3 - t[25]/2 - 
       t[27]/6 + (4*t[29])/3 - t[30]/2 + (7*t[31])/4 - t[32]/3 + t[33]/2 + 
       (19*t[34])/6 - t[36]/2 + t[37]/2 - (7*t[38])/12 - t[39]/2 + t[41]/6 - 
       t[42]/12 - (157*t[43])/192 + t[44]/12 - (289*t[45])/96 - t[46] + 
       (35*t[47])/16 - (23*t[48])/8 + (29*t[49])/12 - (19*t[50])/24 - 
       (5*t[51])/6 - t[52]/24 - (29*t[53])/12 + (23*t[54])/24 - t[58]/12 + 
       (343*t[60])/24 - (95*t[61])/6 + (103*t[62])/8 + (175*t[63])/8 - 
       (9*t[64])/4 - (671*t[65])/72 + (1265*t[66])/72 + t[69] + (2*t[70])/3 - 
       (2*t[71])/3 + (4*t[72])/3 + t[73] - t[74]/2 + (29*t[76])/6 - t[77]/3 - 
       (17*t[78])/6 + 2*t[79] + (25*t[80])/6 + (25*t[81])/12 + 
       (59*t[82])/12 - (23*t[83])/3 + t[84]/12 + (173*t[85])/24 - 
       (131*t[86])/12 - (485*t[87])/24 - (485*t[88])/48 - (349*t[89])/48 + 
       (2*t[97])/3 + 32*t[98] - 37*t[99] - (35*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-61*t[1])/6 + (73*t[2])/12 + (103*t[3])/8 + (335*t[4])/6 - 
       (427*t[5])/16 - (317*t[6])/48 - (911*t[7])/24 - (2333*t[8])/24 + 
       (1523*t[9])/48 + (691*t[10])/24 - (2831*t[11])/48 - (309*t[12])/16 - 
       (6287*t[13])/432 - (1555*t[14])/72 - (11683*t[15])/864 + 3*t[16] - 
       4*t[18] - 2*t[19] - 2*t[20] - 6*t[21] + 6*t[23] - 4*t[24] + 
       (32*t[25])/3 + (17*t[26])/3 + (26*t[27])/3 + 16*t[28] + (10*t[29])/3 + 
       (16*t[30])/3 + 3*t[31] + (16*t[32])/3 - (16*t[33])/3 - (10*t[34])/3 - 
       8*t[35] + (25*t[37])/3 - (3*t[38])/2 + (27*t[39])/2 - (10*t[40])/3 - 
       (13*t[41])/3 + (7*t[42])/3 + (53*t[43])/6 + (29*t[44])/6 + 
       (95*t[45])/12 + 7*t[46] - (45*t[47])/2 - (1081*t[48])/48 - 
       (443*t[49])/12 + (203*t[50])/48 + (77*t[51])/24 + (37*t[52])/48 + 
       (221*t[53])/12 - (751*t[54])/48 + (5*t[59])/4 + (2509*t[60])/24 - 
       (1057*t[61])/8 + (709*t[62])/48 - (943*t[63])/16 - (1161*t[64])/16 - 
       (8741*t[65])/72 - (47*t[66])/24 - t[67]/3 - 8*t[68] + 10*t[69] + 
       (44*t[70])/3 - (44*t[71])/3 - 11*t[72] - 4*t[73] + (28*t[74])/3 + 
       8*t[75] + (55*t[76])/3 + (4*t[77])/3 - (62*t[78])/3 - 13*t[79] - 
       47*t[80] - (14*t[81])/3 - 33*t[82] + 14*t[83] + (733*t[84])/24 + 
       (721*t[85])/24 + (21*t[86])/2 - (565*t[87])/24 + (307*t[88])/48 + 
       (859*t[89])/48 + (2*t[90])/3 - t[91]/6 + 2*t[93] - 4*t[95] - 
       (31*t[96])/3 - (3*t[97])/2 - 48*t[98] + 64*t[99] - 17*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-83*t[1])/12 + (13*t[2])/12 - (541*t[3])/8 + (223*t[4])/8 + 
       (299*t[5])/48 + 36*t[6] - (383*t[7])/12 - (259*t[8])/6 - 
       (219*t[9])/16 + (2543*t[10])/48 - (443*t[11])/8 - (86*t[12])/3 + 
       (901*t[13])/108 - (2225*t[14])/288 + (4339*t[15])/864 + (7*t[17])/3 - 
       (14*t[18])/3 - 2*t[19] + 18*t[20] - 12*t[21] - (16*t[22])/3 + 
       (58*t[23])/3 - (8*t[24])/3 + (10*t[27])/3 - 18*t[28] - (11*t[29])/3 - 
       (11*t[30])/3 + (89*t[32])/6 + (5*t[33])/3 - (7*t[34])/6 + 26*t[35] - 
       8*t[36] + (10*t[37])/3 - t[38]/2 - (5*t[39])/2 + (23*t[40])/6 - 
       (49*t[41])/12 + (17*t[42])/12 - (35*t[43])/24 + 28*t[44] + 
       (53*t[45])/3 + (5*t[46])/3 - (53*t[47])/3 + (77*t[48])/6 + 
       (313*t[49])/48 + 8*t[50] + (131*t[51])/96 - (89*t[52])/6 - 
       (473*t[53])/48 + (181*t[54])/24 - t[55]/6 - (4*t[56])/3 + 
       (2*t[57])/3 - 2*t[58] + (5*t[59])/4 + (2509*t[60])/24 - 
       (1057*t[61])/8 + (709*t[62])/48 - (943*t[63])/16 - (1161*t[64])/16 - 
       (8741*t[65])/72 - (47*t[66])/24 - t[67]/3 - 8*t[68] + 10*t[69] + 
       (44*t[70])/3 - (44*t[71])/3 - 11*t[72] - 4*t[73] + (28*t[74])/3 + 
       8*t[75] + (55*t[76])/3 + (4*t[77])/3 - (62*t[78])/3 - 13*t[79] - 
       47*t[80] - (14*t[81])/3 - 33*t[82] + 14*t[83] + (733*t[84])/24 + 
       (721*t[85])/24 + (21*t[86])/2 - (565*t[87])/24 + (307*t[88])/48 + 
       (859*t[89])/48 + (2*t[90])/3 - t[91]/6 + 2*t[93] - 4*t[95] - 
       (31*t[96])/3 - (3*t[97])/2 - 48*t[98] + 64*t[99] - 17*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      (-5*t[1] + (67*t[2])/18 + (43*t[3])/36 - (3*t[4])/4 + (5*t[5])/8 + 
       (285*t[6])/16 - (1121*t[7])/72 + (395*t[8])/12 - (1631*t[9])/72 - 
       (37*t[10])/36 + (1739*t[11])/144 - (23*t[12])/8 + (403*t[13])/36 - 
       (1165*t[14])/432 + (145*t[15])/72 - (4*t[18])/3 + (4*t[20])/3 - 
       (4*t[21])/3 + (8*t[22])/3 + (4*t[23])/3 - (4*t[24])/3 + (8*t[25])/3 - 
       (4*t[26])/3 + (2*t[29])/3 + 2*t[30] + t[31]/2 + (4*t[32])/3 - 
       (22*t[34])/3 + 2*t[36] + (2*t[38])/3 - (2*t[40])/3 + (13*t[41])/9 - 
       (19*t[42])/9 + (25*t[43])/72 - (2*t[44])/3 + (433*t[45])/72 + 
       (5*t[46])/36 - (49*t[47])/36 + (289*t[48])/48 - (41*t[49])/72 - 
       (781*t[50])/144 - (35*t[51])/72 + (1261*t[52])/144 + (41*t[53])/72 + 
       (401*t[54])/144 - (2*t[58])/3 - (5*t[59])/6 - (167*t[60])/18 + 
       (367*t[61])/12 - (287*t[62])/72 - (1277*t[63])/72 + (911*t[64])/24 + 
       (23*t[65])/27 - (205*t[66])/6 + (8*t[70])/3 - (8*t[71])/3 - 
       (8*t[72])/3 + 4*t[73] + (14*t[74])/9 - 4*t[75] - (26*t[76])/3 - 
       (10*t[77])/3 + (14*t[78])/3 + (4*t[79])/3 - (185*t[80])/18 - 
       (13*t[81])/9 - (95*t[82])/9 - (38*t[83])/9 + (37*t[84])/9 - 
       (65*t[85])/18 + (319*t[86])/18 + (253*t[87])/18 + (253*t[88])/36 + 
       (83*t[89])/12 - (4*t[97])/3 - 40*t[98] + 48*t[99] - (50*t[100])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      (-t[1]/4 + (7*t[2])/288 - (3565*t[3])/1152 - (113*t[4])/12 + 
       (4597*t[5])/768 - (221*t[6])/96 + (3209*t[7])/576 + (131*t[8])/48 + 
       (12359*t[9])/2304 + (1685*t[10])/144 + (15169*t[11])/1152 + 
       (2097*t[12])/256 + (26461*t[13])/3456 + (77885*t[14])/6912 + 
       (21905*t[15])/4608 + (7*t[18])/18 - t[20]/12 + (7*t[21])/12 - 
       (37*t[22])/24 - (7*t[23])/12 + (7*t[24])/12 - t[25]/6 - t[26]/3 - 
       t[27]/4 + t[28]/4 - t[29]/6 + t[30]/8 - t[31]/3 - (9*t[32])/8 + 
       (25*t[33])/24 + (55*t[34])/24 - t[35] - t[36]/4 - t[37]/4 - t[38]/3 - 
       (25*t[39])/24 + (83*t[40])/48 + (133*t[41])/144 - (127*t[42])/144 + 
       (25*t[43])/1152 - t[44]/3 + (691*t[45])/288 - (25*t[46])/36 - 
       (151*t[47])/36 - (517*t[48])/192 + (787*t[49])/288 - (607*t[50])/576 - 
       (313*t[51])/576 - (737*t[52])/576 - (787*t[53])/288 + (11*t[54])/576 - 
       t[58]/4 + (79*t[59])/96 + (2311*t[60])/288 + (2309*t[61])/64 - 
       (31811*t[62])/1152 + (22411*t[63])/1152 - (827*t[64])/384 + 
       (16829*t[65])/1728 - (14513*t[66])/576 - (5*t[70])/12 + (5*t[71])/12 + 
       (5*t[72])/12 - (5*t[73])/8 - (55*t[74])/36 + (5*t[75])/8 + 
       (215*t[76])/48 + (65*t[77])/24 - (49*t[78])/24 + (9*t[79])/8 - 
       (763*t[80])/144 + (335*t[81])/144 + (241*t[82])/144 + (119*t[83])/72 - 
       (235*t[84])/288 + (937*t[85])/288 - (977*t[86])/288 - 
       (2285*t[87])/288 - (2285*t[88])/576 - (419*t[89])/64 + (31*t[97])/48 + 
       28*t[98] - 27*t[99] - (397*t[100])/24) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((25*t[1])/6 + (155*t[2])/24 - (53*t[3])/16 + (607*t[4])/16 - 
       (1217*t[5])/96 + (4429*t[6])/96 - (1307*t[7])/48 + (653*t[8])/16 + 
       (37*t[9])/32 - (701*t[10])/12 - (299*t[11])/12 - (919*t[12])/96 - 
       (26983*t[13])/1728 - (2713*t[14])/144 - (2819*t[15])/192 - 
       (7*t[18])/3 + t[19] - (10*t[20])/3 - (4*t[21])/3 + (13*t[22])/3 + 
       (4*t[23])/3 - (17*t[24])/3 + t[25] - t[26]/4 - (23*t[27])/3 + t[28] - 
       (2*t[29])/3 - 3*t[30] - (5*t[31])/2 - (16*t[32])/3 + 2*t[33] - 
       (193*t[34])/12 + 5*t[36] + (5*t[38])/3 - 2*t[39] + (21*t[40])/4 - 
       (8*t[41])/3 + (3*t[42])/2 - (61*t[43])/16 - (25*t[44])/6 - 
       (73*t[45])/12 - (23*t[46])/12 + (259*t[47])/12 + 35*t[48] - 
       (79*t[49])/16 - (35*t[50])/6 + (73*t[51])/32 + (45*t[52])/4 + 
       (79*t[53])/16 + (439*t[54])/24 + (35*t[58])/12 - t[59] - 
       (113*t[60])/4 + (91*t[61])/24 + (5509*t[62])/48 - (1889*t[63])/48 + 
       (993*t[64])/16 - (85*t[65])/4 + (3199*t[66])/36 + (14*t[70])/3 - 
       (14*t[71])/3 - (20*t[72])/3 + 6*t[73] + (19*t[74])/3 - 4*t[75] - 
       (157*t[76])/6 - (17*t[77])/6 + (50*t[78])/3 + 4*t[79] - 
       (145*t[80])/4 - (46*t[81])/3 - (38*t[82])/3 - 37*t[83] + 
       (67*t[84])/4 - (106*t[85])/3 - (523*t[86])/12 + 48*t[87] + 24*t[88] + 
       (667*t[89])/24 - (23*t[97])/6 - 148*t[98] + 162*t[99] - 
       (33*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((3*t[1])/2 + (17*t[2])/6 + (2*t[3])/3 - 
       (37*t[4])/4 + 8*t[5] + (75*t[6])/8 + t[7]/12 - (5*t[8])/4 - 
       (5*t[9])/3 - (17*t[10])/3 + (181*t[11])/12 - t[12]/2 - 
       (149*t[13])/144 + (725*t[14])/72 + (17*t[15])/3 + 2*t[31] + t[41]/6 - 
       t[42]/6 + (17*t[43])/6 - (23*t[45])/3 + (4*t[46])/3 + (34*t[47])/3 + 
       t[48]/2 - (35*t[49])/12 - (13*t[50])/6 + (11*t[51])/24 + 
       (13*t[52])/6 + (35*t[53])/12 + (4*t[54])/3 + 3*t[59] + (22*t[60])/3 + 
       50*t[61] + (11*t[62])/6 + (119*t[63])/6 - 17*t[64] + (65*t[65])/18 - 
       (37*t[66])/2 + (16*t[74])/3 - 8*t[79] + (43*t[80])/3 + (4*t[81])/3 - 
       (4*t[82])/3 - (16*t[83])/3 + (8*t[84])/3 + (10*t[85])/3 - 
       (50*t[86])/3 - (26*t[87])/3 - (13*t[88])/3 - 7*t[89] - 16*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((3*t[1])/2 + (17*t[2])/6 + (2*t[3])/3 - (37*t[4])/4 + 8*t[5] + 
       (75*t[6])/8 + t[7]/12 - (5*t[8])/4 - (5*t[9])/3 - (17*t[10])/3 + 
       (181*t[11])/12 - t[12]/2 - (149*t[13])/144 + (725*t[14])/72 + 
       (17*t[15])/3 + 2*t[31] + t[41]/6 - t[42]/6 + (17*t[43])/6 - 
       (23*t[45])/3 + (4*t[46])/3 + (34*t[47])/3 + t[48]/2 - (35*t[49])/12 - 
       (13*t[50])/6 + (11*t[51])/24 + (13*t[52])/6 + (35*t[53])/12 + 
       (4*t[54])/3 + 3*t[59] + (22*t[60])/3 + 50*t[61] + (11*t[62])/6 + 
       (119*t[63])/6 - 17*t[64] + (65*t[65])/18 - (37*t[66])/2 + 
       (16*t[74])/3 - 8*t[79] + (43*t[80])/3 + (4*t[81])/3 - (4*t[82])/3 - 
       (16*t[83])/3 + (8*t[84])/3 + (10*t[85])/3 - (50*t[86])/3 - 
       (26*t[87])/3 - (13*t[88])/3 - 7*t[89] - 16*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((3*t[1])/2 + (11*t[2])/6 + (2*t[3])/3 + (5*t[4])/4 + 14*t[5] + 
       (83*t[6])/8 - (121*t[7])/6 - 16*t[8] - (251*t[9])/12 - (11*t[10])/3 - 
       (49*t[11])/6 - (53*t[12])/4 - (529*t[13])/48 + (23*t[14])/18 + 
       (251*t[15])/24 + 2*t[31] + t[41]/6 - t[42]/6 + (67*t[43])/12 - 
       (55*t[45])/6 + (7*t[46])/3 + (7*t[47])/3 + (5*t[48])/4 - 
       (11*t[49])/3 - (17*t[50])/12 + t[51]/12 + (17*t[52])/12 + 
       (11*t[53])/3 + (25*t[54])/12 + 3*t[59] + (13*t[60])/3 + 2*t[61] + 
       (443*t[62])/6 + (83*t[63])/6 - 55*t[64] - (325*t[65])/18 + 
       (65*t[66])/2 + (28*t[74])/3 - 8*t[79] + (43*t[80])/3 - (2*t[81])/3 + 
       (2*t[82])/3 - (16*t[83])/3 + (8*t[84])/3 + t[85]/3 - (200*t[86])/3 - 
       (17*t[87])/3 - (17*t[88])/6 - (13*t[89])/2 - 16*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((3*t[1])/2 + (11*t[2])/6 + (2*t[3])/3 + (5*t[4])/4 + 14*t[5] + 
       (83*t[6])/8 - (121*t[7])/6 - 16*t[8] - (251*t[9])/12 - (11*t[10])/3 - 
       (49*t[11])/6 - (53*t[12])/4 - (529*t[13])/48 + (23*t[14])/18 + 
       (251*t[15])/24 + 2*t[31] + t[41]/6 - t[42]/6 + (67*t[43])/12 - 
       (55*t[45])/6 + (7*t[46])/3 + (7*t[47])/3 + (5*t[48])/4 - 
       (11*t[49])/3 - (17*t[50])/12 + t[51]/12 + (17*t[52])/12 + 
       (11*t[53])/3 + (25*t[54])/12 + 3*t[59] + (13*t[60])/3 + 2*t[61] + 
       (443*t[62])/6 + (83*t[63])/6 - 55*t[64] - (325*t[65])/18 + 
       (65*t[66])/2 + (28*t[74])/3 - 8*t[79] + (43*t[80])/3 - (2*t[81])/3 + 
       (2*t[82])/3 - (16*t[83])/3 + (8*t[84])/3 + t[85]/3 - (200*t[86])/3 - 
       (17*t[87])/3 - (17*t[88])/6 - (13*t[89])/2 - 16*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((23*t[1])/2 + (11*t[2])/6 - (34*t[3])/3 + (165*t[4])/4 + 22*t[5] + 
       (179*t[6])/8 - (49*t[7])/6 + 20*t[8] - (35*t[9])/12 + (97*t[10])/3 - 
       t[11]/6 - (221*t[12])/4 - (401*t[13])/48 + (407*t[14])/18 + 
       (443*t[15])/24 + 2*t[31] + t[41]/6 - t[42]/6 + (67*t[43])/12 - 
       (55*t[45])/6 + (7*t[46])/3 + (7*t[47])/3 + (5*t[48])/4 - 
       (11*t[49])/3 - (17*t[50])/12 + t[51]/12 + (17*t[52])/12 + 
       (11*t[53])/3 + (25*t[54])/12 - 3*t[59] + (205*t[60])/3 + 48*t[61] + 
       (179*t[62])/6 + (59*t[63])/6 - 91*t[64] - (853*t[65])/18 + 
       (211*t[66])/6 - 16*t[69] - 4*t[71] + (28*t[74])/3 + 4*t[77] - 
       8*t[79] + (43*t[80])/3 - (2*t[81])/3 + (2*t[82])/3 - (16*t[83])/3 + 
       (8*t[84])/3 + t[85]/3 - (200*t[86])/3 - (113*t[87])/3 - 
       (113*t[88])/6 - (5*t[89])/2 - 16*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((3*t[1])/2 + (143*t[2])/6 - (10*t[3])/3 + (5*t[4])/4 + 10*t[5] + 
       (67*t[6])/8 - (97*t[7])/6 - 20*t[8] - (275*t[9])/12 - (23*t[10])/3 - 
       t[11]/6 - (37*t[12])/4 - (251*t[13])/16 + (623*t[14])/18 - 
       (53*t[15])/24 + 8*t[18] + 32*t[20] - 16*t[22] - 4*t[23] + 2*t[31] - 
       4*t[32] + 8*t[34] - 4*t[40] + (13*t[41])/6 - (13*t[42])/6 + 
       (67*t[43])/12 - (55*t[45])/6 + (7*t[46])/3 + (7*t[47])/3 + 
       (5*t[48])/4 - (11*t[49])/3 - (17*t[50])/12 + t[51]/12 + 
       (113*t[52])/12 + (11*t[53])/3 + (25*t[54])/12 - 3*t[59] + 
       (205*t[60])/3 + 48*t[61] + (179*t[62])/6 + (59*t[63])/6 - 91*t[64] - 
       (853*t[65])/18 + (211*t[66])/6 - 16*t[69] - 4*t[71] + (28*t[74])/3 + 
       4*t[77] - 8*t[79] + (43*t[80])/3 - (2*t[81])/3 + (2*t[82])/3 - 
       (16*t[83])/3 + (8*t[84])/3 + t[85]/3 - (200*t[86])/3 - (113*t[87])/3 - 
       (113*t[88])/6 - (5*t[89])/2 - 16*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v]*
      (t[1]/2 - (49*t[3])/3 - (179*t[4])/12 + (149*t[5])/8 + (823*t[6])/24 - 
       (7*t[7])/8 + (295*t[8])/24 - (277*t[9])/24 + (97*t[10])/8 + 
       (169*t[11])/24 - (53*t[12])/8 - (8*t[13])/27 + (1679*t[14])/72 + 
       (431*t[15])/24 + 3*t[31] - t[40] + (257*t[43])/24 + (5*t[45])/2 + 
       (3*t[46])/2 - 5*t[47] + (5*t[48])/8 - (8*t[49])/3 - (97*t[50])/24 + 
       (5*t[51])/24 + (97*t[52])/24 + (8*t[53])/3 + (65*t[54])/24 - 
       (35*t[59])/6 + (73*t[60])/12 + (76*t[61])/3 + (305*t[62])/12 + 
       (63*t[63])/4 - (19*t[64])/12 - (535*t[65])/18 - (467*t[66])/18 - 
       t[72] + 3*t[74] + t[77] - 4*t[79] - 10*t[80] + (3*t[81])/2 - 
       (3*t[82])/2 - (16*t[83])/3 - t[84]/2 + (19*t[85])/4 - (113*t[86])/6 - 
       (29*t[87])/12 - (29*t[88])/24 + (103*t[89])/8 - 16*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*(-3*t[1] - (50*t[2])/3 + 
       (797*t[3])/24 - (47*t[4])/12 + (3505*t[5])/48 + (403*t[6])/24 - 
       (181*t[7])/2 - (583*t[8])/6 - (1631*t[9])/16 - (2663*t[10])/24 + 
       (5*t[11])/3 + (19*t[12])/16 - (437*t[13])/27 - (305*t[14])/12 + 
       (5221*t[15])/288 - 3*t[17] - (7*t[18])/3 - 6*t[20] + 17*t[22] + 
       (17*t[23])/3 + (38*t[24])/3 + 12*t[27] + (110*t[31])/3 + 10*t[32] + 
       3*t[33] + 9*t[34] - 5*t[38] + 3*t[39] - 15*t[40] + (47*t[41])/6 - 
       t[42]/2 + (357*t[43])/8 - (587*t[45])/12 + 6*t[46] + (197*t[47])/6 - 
       (883*t[48])/24 - (325*t[49])/24 - (1259*t[50])/24 + (37*t[51])/48 + 
       (1235*t[52])/24 + (325*t[53])/24 + (19*t[54])/8 + (9*t[56])/2 + 
       6*t[57] + t[59]/2 + (43*t[60])/12 + (64*t[61])/3 + (2063*t[62])/12 + 
       (789*t[63])/4 - (203*t[64])/6 - (2899*t[65])/18 + (83*t[66])/36 + 
       (9*t[68])/2 - 48*t[72] + 5*t[74] + 21*t[76] + 17*t[77] - 
       (35*t[78])/2 + 8*t[79] + 42*t[80] - 9*t[81] + (27*t[82])/2 - 
       (4*t[83])/3 - (243*t[84])/4 + 25*t[85] - (712*t[86])/3 - 
       (32*t[87])/3 - (16*t[88])/3 - 20*t[89] - (3*t[90])/2 - 6*t[93] + 
       2*t[97] + 144*t[98] - 144*t[99] - 16*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((19*t[1])/6 - (47*t[2])/4 - (113*t[3])/24 + (64*t[4])/3 + 
       (781*t[5])/16 + (749*t[6])/12 - (13*t[7])/4 - (178*t[8])/3 - 
       (863*t[9])/48 - (523*t[10])/8 + (71*t[11])/3 - (463*t[12])/16 - 
       (8039*t[13])/432 + (689*t[14])/72 + (151*t[15])/32 - (9*t[16])/2 + 
       2*t[23] - 9*t[26] - 6*t[27] - 12*t[28] - 3*t[31] - 4*t[32] + 4*t[33] + 
       2*t[34] - 9*t[36] + 3*t[38] - 10*t[39] + 2*t[40] - t[41] + t[42] + 
       (239*t[43])/24 - (43*t[45])/4 + (17*t[46])/2 + (27*t[47])/2 + 
       (43*t[48])/8 + (857*t[49])/24 - (271*t[50])/24 - (959*t[51])/48 + 
       (127*t[52])/24 - (857*t[53])/24 - (355*t[54])/24 - 3*t[58] + t[59]/2 + 
       (43*t[60])/12 + (64*t[61])/3 + (2063*t[62])/12 + (789*t[63])/4 - 
       (203*t[64])/6 - (2899*t[65])/18 + (83*t[66])/36 + (9*t[68])/2 - 
       48*t[72] + 5*t[74] + 21*t[76] + 17*t[77] - (35*t[78])/2 + 8*t[79] + 
       42*t[80] - 9*t[81] + (27*t[82])/2 - (4*t[83])/3 - (243*t[84])/4 + 
       25*t[85] - (712*t[86])/3 - (32*t[87])/3 - (16*t[88])/3 - 20*t[89] - 
       (3*t[90])/2 - 6*t[93] + 2*t[97] + 144*t[98] - 144*t[99] - 16*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-7*t[1])/24 + (97*t[2])/24 - (127*t[3])/36 - (1031*t[4])/144 - 
       (23*t[5])/24 + (461*t[6])/144 + (1495*t[7])/96 - (35*t[8])/288 + 
       (5231*t[9])/288 + (119*t[10])/96 + (2489*t[11])/144 + (59*t[12])/8 + 
       (21407*t[13])/2592 + (5563*t[14])/432 + (1061*t[15])/576 + t[18]/3 + 
       t[19]/2 - t[20]/3 + (5*t[21])/6 - (2*t[22])/3 - (5*t[23])/6 + 
       (5*t[24])/6 - (2*t[25])/3 + t[26]/3 + t[28]/2 - (5*t[29])/12 - t[30] + 
       t[31] - t[32]/3 + (11*t[34])/6 - t[35] - (3*t[36])/4 - t[37] - 
       t[38]/6 + t[39]/2 + t[40]/6 + t[41]/3 - t[42]/6 - (37*t[43])/288 + 
       (2*t[44])/3 - (19*t[45])/24 + t[46]/2 + (9*t[47])/2 - (149*t[48])/48 - 
       (8*t[49])/9 + (205*t[50])/144 + (53*t[51])/72 - (325*t[52])/144 + 
       (8*t[53])/9 - (77*t[54])/144 + t[58]/6 - (77*t[59])/72 + 
       (289*t[60])/36 + (3407*t[61])/72 - (9185*t[62])/288 + (671*t[63])/96 - 
       (3503*t[64])/288 + (2309*t[65])/216 - (8807*t[66])/216 - t[69] + 
       t[70]/3 - t[71]/3 + (5*t[72])/3 - (7*t[73])/4 + t[74]/6 + 
       (5*t[75])/4 + (23*t[76])/12 + (4*t[77])/3 - (11*t[78])/12 - 
       (13*t[79])/12 + (25*t[80])/4 + (4*t[81])/3 + (2*t[82])/3 + 
       (25*t[83])/18 + (19*t[84])/24 + (15*t[85])/8 + (25*t[86])/72 - 
       (301*t[87])/72 - (301*t[88])/144 - (39*t[89])/16 + t[97]/3 + 7*t[98] - 
       7*t[99] - (46*t[100])/3) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 
       1 - v]*(-21*t[2] + (5*t[3])/4 - (43*t[4])/4 + (87*t[5])/8 - 
       (13*t[6])/4 + (107*t[7])/4 - (211*t[8])/4 + (41*t[9])/8 + 
       (81*t[10])/8 - t[11] + 9*t[12] - (11*t[13])/3 + (55*t[14])/48 + 
       (201*t[15])/16 - 3*t[20] + 3*t[21] - 3*t[27] - 11*t[32] + 8*t[33] - 
       8*t[39] + 11*t[40] + (19*t[48])/4 - (23*t[49])/8 + (19*t[50])/4 + 
       (23*t[51])/16 - (31*t[52])/4 + (23*t[53])/8 + (5*t[54])/2 + 7*t[59] - 
       (107*t[60])/4 + (261*t[61])/4 - (123*t[62])/8 + (623*t[63])/8 - 
       (11*t[64])/8 - (223*t[65])/12 - (265*t[66])/12 + 3*t[69] - 3*t[70] + 
       3*t[71] + 3*t[72] - 24*t[76] - 11*t[77] + 32*t[78] - 2*t[81] + 
       10*t[82] - t[84]/4 - (103*t[85])/4 + (105*t[87])/4 + (105*t[88])/8 - 
       (201*t[89])/8 - 144*t[98] + 192*t[99] - 15*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*(-11*t[1] - t[3]/2 - 
       (23*t[4])/2 - (113*t[5])/8 - (37*t[6])/8 + (33*t[7])/4 + (25*t[8])/4 - 
       (37*t[9])/8 - (41*t[10])/2 + (43*t[11])/8 + (299*t[12])/8 - 
       (31*t[13])/6 + (125*t[14])/24 + (91*t[15])/16 + 3*t[25] + 8*t[26] - 
       11*t[38] + 2*t[46] + (41*t[48])/8 - (41*t[49])/4 + (41*t[50])/8 - 
       (19*t[51])/8 - (41*t[52])/8 + (41*t[53])/4 + (83*t[54])/8 + 7*t[59] - 
       (107*t[60])/4 + (261*t[61])/4 - (123*t[62])/8 + (623*t[63])/8 - 
       (11*t[64])/8 - (223*t[65])/12 - (265*t[66])/12 + 3*t[69] - 3*t[70] + 
       3*t[71] + 3*t[72] - 24*t[76] - 11*t[77] + 32*t[78] - 2*t[81] + 
       10*t[82] - t[84]/4 - (103*t[85])/4 + (105*t[87])/4 + (105*t[88])/8 - 
       (201*t[89])/8 - 144*t[98] + 192*t[99] - 15*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^3*((-5*t[1])/4 + (37*t[2])/24 + 
       (155*t[3])/96 + (131*t[4])/96 + (89*t[5])/16 - (1933*t[6])/192 + 
       (493*t[7])/96 - (2555*t[8])/96 + (9*t[9])/8 + (1203*t[10])/64 + 
       (263*t[11])/192 - (377*t[12])/192 - (6275*t[13])/1728 + 
       (3913*t[14])/1152 - (29*t[15])/24 + t[16]/6 - t[17]/12 - t[18]/3 - 
       (2*t[20])/3 - t[21]/3 + t[22]/6 + t[23]/3 - t[24]/6 - t[25]/2 + 
       t[26]/4 - t[27]/2 - (5*t[28])/6 - (23*t[29])/24 + (5*t[30])/4 + 
       (5*t[31])/3 - (4*t[32])/3 + (5*t[34])/3 + (5*t[35])/2 - (11*t[36])/3 + 
       t[37] + t[38]/6 - t[39]/2 + (13*t[40])/4 - t[41] + (5*t[42])/6 - 
       (29*t[43])/96 + (25*t[44])/16 + (13*t[45])/48 - (11*t[46])/12 + 
       (3*t[47])/8 - (383*t[48])/64 + (997*t[49])/192 + (103*t[50])/192 - 
       (133*t[51])/128 - (269*t[52])/64 - (1045*t[53])/192 - 
       (449*t[54])/192 + t[56]/4 + t[57]/2 - (5*t[58])/12 + (9*t[59])/8 + 
       (91*t[60])/8 + (53*t[61])/6 - (361*t[62])/16 + (585*t[63])/16 - 
       (967*t[64])/24 - (79*t[65])/4 + (263*t[66])/72 - t[67]/6 - t[68]/2 + 
       t[69]/2 + (5*t[70])/3 - (5*t[71])/3 - (2*t[72])/3 - (10*t[73])/3 + 
       (11*t[74])/2 + (17*t[75])/6 + (71*t[76])/12 + (5*t[77])/3 - 
       (49*t[78])/12 + t[79] - 5*t[80] + (13*t[81])/12 + (11*t[82])/3 + 
       (73*t[83])/12 - (65*t[84])/24 + (27*t[85])/4 - (55*t[86])/12 - 
       (49*t[87])/3 - (49*t[88])/6 - (259*t[89])/16 - t[92]/6 - t[93]/3 + 
       t[94]/6 + (11*t[97])/12 + 34*t[98] - 40*t[99] - (44*t[100])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^3*((-49*t[1])/24 + (221*t[2])/24 - 
       (871*t[3])/96 - (133*t[4])/32 - (53*t[5])/6 - (503*t[6])/192 + 
       (1297*t[7])/96 - (273*t[8])/32 + (51*t[9])/2 + (821*t[10])/64 + 
       (91*t[11])/64 + (817*t[12])/192 - (17495*t[13])/1728 + 
       (2683*t[14])/128 + (79*t[15])/24 - t[16]/12 - (5*t[18])/6 - 
       (3*t[19])/2 - t[20]/2 - (11*t[21])/6 + (5*t[22])/6 + (11*t[23])/6 + 
       t[24] + t[25]/3 - (5*t[26])/6 + t[27] - (5*t[28])/6 + (35*t[29])/24 - 
       t[30]/4 - t[31]/3 + (11*t[32])/6 - (17*t[33])/6 + (77*t[34])/12 - 
       (5*t[35])/2 - t[36]/6 + t[37]/2 - 2*t[38] + (7*t[39])/3 - 
       (14*t[40])/3 - t[41]/8 - (7*t[42])/24 - (97*t[43])/96 - 
       (91*t[44])/48 + (13*t[45])/48 + (2*t[46])/3 - (161*t[47])/24 - 
       (321*t[48])/64 + (237*t[49])/64 + (841*t[50])/192 - (1493*t[51])/384 + 
       (263*t[52])/192 - (221*t[53])/64 - (599*t[54])/192 + t[56]/4 - 
       t[57]/2 - t[58]/3 + (9*t[59])/8 + (91*t[60])/8 + (53*t[61])/6 - 
       (361*t[62])/16 + (585*t[63])/16 - (967*t[64])/24 - (79*t[65])/4 + 
       (263*t[66])/72 - t[67]/6 - t[68]/2 + t[69]/2 + (5*t[70])/3 - 
       (5*t[71])/3 - (2*t[72])/3 - (10*t[73])/3 + (11*t[74])/2 + 
       (17*t[75])/6 + (71*t[76])/12 + (5*t[77])/3 - (49*t[78])/12 + t[79] - 
       5*t[80] + (13*t[81])/12 + (11*t[82])/3 + (73*t[83])/12 - 
       (65*t[84])/24 + (27*t[85])/4 - (55*t[86])/12 - (49*t[87])/3 - 
       (49*t[88])/6 - (259*t[89])/16 - t[92]/6 - t[93]/3 + t[94]/6 + 
       (11*t[97])/12 + 34*t[98] - 40*t[99] - (44*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w]*
      ((5*t[1])/2 + (17*t[2])/4 - (5*t[3])/8 - (41*t[4])/6 + (431*t[5])/16 + 
       (26*t[6])/3 - (67*t[7])/24 - (355*t[8])/24 - (1315*t[9])/48 + 
       (43*t[10])/4 - (27*t[11])/4 - (919*t[12])/48 - (815*t[13])/144 + 
       (143*t[14])/18 + (5491*t[15])/288 - t[18]/3 + t[20] + t[22]/3 - 
       (2*t[23])/3 - (2*t[24])/3 + (10*t[31])/3 + t[32] + t[34]/3 - 
       (4*t[37])/3 - t[40] + (2*t[41])/3 - (5*t[42])/3 + (10*t[43])/3 - 
       (37*t[45])/12 + (4*t[46])/3 - (31*t[47])/3 - (53*t[48])/24 - 
       (125*t[49])/24 + (43*t[50])/24 + (53*t[51])/48 - (19*t[52])/24 + 
       (125*t[53])/24 + (21*t[54])/8 + (7*t[59])/2 + (115*t[60])/12 + 
       (22*t[61])/3 + (269*t[62])/6 + (49*t[63])/6 - (383*t[64])/6 - 
       (83*t[65])/4 + (298*t[66])/9 + t[69] - t[72] + (28*t[74])/3 + t[77] - 
       (35*t[79])/3 + (15*t[80])/2 - (5*t[81])/6 + (5*t[82])/6 - 
       (19*t[83])/6 + (7*t[84])/4 - t[85]/3 - (91*t[86])/2 - (17*t[87])/2 - 
       (17*t[88])/4 - (227*t[89])/24 - (29*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      ((3*t[1])/4 + (34*t[2])/3 + (7*t[3])/8 + (223*t[4])/24 - 
       (1333*t[5])/48 + (461*t[6])/24 + (175*t[7])/24 - (617*t[8])/24 + 
       (1463*t[9])/48 - (513*t[10])/16 + 37*t[11] + 13*t[12] - 
       (487*t[13])/108 + (5203*t[14])/288 - (2041*t[15])/288 - t[19] - 
       t[21] + (4*t[23])/3 + t[24]/3 + 2*t[28] - t[30] + (25*t[31])/3 + 
       2*t[35] + t[37] + t[39] + t[41] - (5*t[42])/6 + (49*t[43])/6 - t[44] - 
       (119*t[45])/12 + (5*t[46])/3 + (125*t[47])/6 - (227*t[48])/24 - 
       (299*t[49])/48 - (45*t[50])/8 + (35*t[51])/96 + (45*t[52])/8 + 
       (299*t[53])/48 + (59*t[54])/12 + 3*t[59] + (761*t[60])/24 + 
       (2329*t[61])/24 - (175*t[62])/16 + (713*t[63])/48 - (773*t[64])/48 + 
       (395*t[65])/72 - (5491*t[66])/72 + (3*t[69])/2 + (3*t[72])/2 + 
       (26*t[74])/3 + t[77]/2 - 5*t[79] - (70*t[80])/3 + (37*t[81])/6 - 
       (37*t[82])/6 - (61*t[83])/12 + (53*t[84])/24 + (529*t[85])/24 - 
       (17*t[86])/2 - (643*t[87])/24 - (643*t[88])/48 + (69*t[89])/16 - 
       (29*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((397*t[1])/72 + (137*t[2])/48 + (2221*t[3])/192 + 
       (1003*t[4])/144 + (4433*t[5])/384 - (4879*t[6])/576 + 
       (6161*t[7])/576 - (13379*t[8])/576 - (14407*t[9])/1152 - 
       (18725*t[10])/576 - (15287*t[11])/576 - (13135*t[12])/1152 - 
       (35149*t[13])/3456 - (2771*t[14])/128 - (823*t[15])/6912 - 
       (3*t[17])/8 + (5*t[18])/36 + (5*t[20])/9 + (25*t[21])/18 - 
       (49*t[22])/18 - (31*t[23])/12 - t[24]/4 - t[26]/4 + (23*t[27])/18 - 
       t[28]/2 - (5*t[29])/36 + (11*t[30])/6 - (37*t[31])/9 + (8*t[32])/9 - 
       t[33]/3 + (281*t[34])/36 - (3*t[35])/2 - (5*t[36])/12 - t[37]/2 - 
       (13*t[38])/9 - (2*t[39])/3 - (17*t[40])/12 - (331*t[41])/72 + 
       (43*t[42])/12 - (887*t[43])/144 + (31*t[44])/36 - (1381*t[45])/288 + 
       (127*t[46])/72 + (151*t[47])/48 - (191*t[48])/36 + (499*t[49])/288 + 
       (167*t[50])/36 - (1597*t[51])/576 - (7*t[52])/2 - (499*t[53])/288 - 
       (41*t[54])/48 - (11*t[58])/18 - (97*t[59])/72 + (209*t[60])/144 - 
       (7511*t[61])/96 + (11707*t[62])/576 + (1517*t[63])/576 - 
       (20815*t[64])/576 + (985*t[65])/864 + (8161*t[66])/96 + t[67]/8 - 
       (2*t[69])/3 - (13*t[70])/9 + (13*t[71])/9 - (13*t[72])/18 - 
       (7*t[73])/12 - (193*t[74])/36 + t[75]/12 + (367*t[76])/36 - 
       (125*t[77])/18 - (229*t[78])/36 - (3*t[79])/4 + (269*t[80])/72 + 
       (21*t[81])/8 + (63*t[82])/8 + (313*t[83])/36 - (77*t[84])/18 + 
       (101*t[85])/48 + (2849*t[86])/144 - (883*t[87])/144 - 
       (883*t[88])/288 - (749*t[89])/288 + (25*t[97])/18 + (200*t[98])/3 - 
       69*t[99] - 13*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2*
      (t[1]/12 + (99*t[2])/16 - (309*t[3])/64 - (157*t[4])/48 - 
       (2495*t[5])/384 - (31*t[6])/32 + (169*t[7])/6 - (25*t[8])/96 + 
       (11845*t[9])/384 - (809*t[10])/48 + (3443*t[11])/192 + 
       (3451*t[12])/384 + (1367*t[13])/216 + (5279*t[14])/384 - 
       (1543*t[15])/2304 + (5*t[18])/6 - (2*t[19])/3 - t[20]/6 + 
       (7*t[21])/12 - (71*t[22])/24 - (7*t[23])/12 + t[24] - t[25]/3 + 
       t[26]/6 - t[27]/2 + t[28]/2 - t[29]/3 + t[30]/4 - t[31]/12 - t[32]/8 + 
       (65*t[34])/12 - (5*t[35])/12 - t[36]/2 - t[37]/12 - (13*t[38])/12 - 
       (11*t[40])/12 - (3*t[41])/4 + (7*t[42])/6 - (67*t[43])/192 - t[44]/6 - 
       (83*t[45])/24 - t[46]/6 + (29*t[47])/4 - (259*t[48])/96 + 
       (57*t[49])/32 + (139*t[50])/32 - (203*t[51])/192 - (361*t[52])/96 - 
       (57*t[53])/32 - (79*t[54])/96 + t[58]/3 + t[59]/3 + (289*t[60])/24 + 
       (895*t[61])/32 - (2045*t[62])/64 + (2711*t[63])/192 + 
       (479*t[64])/192 + (1093*t[65])/96 - (949*t[66])/32 - t[67]/24 + 
       (5*t[69])/12 - (2*t[70])/3 + (2*t[71])/3 + (5*t[72])/6 - (5*t[73])/4 + 
       t[74]/6 + (5*t[75])/4 + (55*t[76])/12 + (2*t[77])/3 - (19*t[78])/12 - 
       (7*t[79])/3 + (295*t[80])/24 + (15*t[81])/8 + (29*t[82])/8 + 
       (77*t[83])/24 - (5*t[84])/48 + (49*t[85])/12 + (853*t[86])/48 - 
       (85*t[87])/8 - (85*t[88])/16 - (9*t[89])/4 + (2*t[97])/3 + 26*t[98] - 
       24*t[99] - (25*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Omega2[w, u, v]*(-t[1] + 2*t[2] - (19*t[4])/2 + 
       5*t[5] + 11*t[6] + (5*t[7])/2 + t[8] + 2*t[9] - 3*t[10] + 
       (69*t[11])/4 + (5*t[12])/2 + (61*t[13])/24 + (39*t[14])/4 + 
       (11*t[15])/3 + 2*t[31] + 2*t[43] - (9*t[45])/2 + t[46] + 9*t[47] - 
       t[48]/4 - (5*t[49])/2 - (9*t[50])/4 + t[51]/2 + (9*t[52])/4 + 
       (5*t[53])/2 + (5*t[54])/4 + 2*t[59] + 9*t[60] + 49*t[61] - 9*t[62] + 
       12*t[63] - (17*t[64])/2 + 8*t[65] - (100*t[66])/3 + 4*t[74] - 
       4*t[79] + 10*t[80] + 2*t[81] - 2*t[82] - 4*t[83] + 2*t[84] + 5*t[85] - 
       8*t[86] - 9*t[87] - (9*t[88])/2 - (11*t[89])/2 - 12*t[100]) + 
     B10[w, u, v]*HPL[{1}, 1 - w]*(-t[3] + 4*t[4] - t[5]/2 + t[6] - t[8] + 
       t[9]/2 + 4*t[11] - t[12]/2 + (19*t[13])/6 + 2*t[14] + t[15]/12 - 
       2*t[46] + t[49] + t[51]/2 - t[53] - 2*t[54] + 7*t[60] + 6*t[61] - 
       2*t[62] - 5*t[63] - 3*t[64] - 2*t[65] - (31*t[66])/3 + 2*t[81] - 
       2*t[82] - 2*t[83] + t[84] + 2*t[85] - 4*t[87] - 2*t[88] + t[89] - 
       12*t[100]) + B10[v, w, u]*HPL[{1}, 1 - v]*(-t[3] + 2*t[4] - 
       (11*t[5])/2 + 4*t[6] + t[7] + 3*t[8] + (9*t[9])/2 - 2*t[10] + t[11] + 
       t[12]/2 + (2*t[13])/3 + (25*t[14])/6 - (11*t[15])/12 - 2*t[50] + 
       2*t[52] + 2*t[54] + 7*t[60] + 6*t[61] - 2*t[62] - 5*t[63] - 3*t[64] - 
       2*t[65] - (31*t[66])/3 + 2*t[81] - 2*t[82] - 2*t[83] + t[84] + 
       2*t[85] - 4*t[87] - 2*t[88] + t[89] - 12*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      (t[2] + (31*t[3])/4 + (67*t[4])/4 + t[5]/4 + (21*t[6])/4 - 
       (39*t[7])/2 - (17*t[8])/4 - (123*t[9])/8 - (179*t[10])/8 + 
       (29*t[11])/4 - (63*t[12])/8 + (125*t[13])/72 - (133*t[14])/16 - 
       (17*t[15])/6 + t[18] + 2*t[23] + 2*t[24] + 2*t[31] - 2*t[41] + 
       (7*t[42])/2 + (33*t[43])/4 - (35*t[45])/4 + (17*t[47])/2 + 
       (5*t[48])/2 + (17*t[49])/8 - (11*t[50])/2 - (17*t[51])/16 + 
       (11*t[52])/2 - (17*t[53])/8 - (3*t[54])/4 - (7*t[59])/2 + t[60]/4 + 
       (41*t[61])/2 + (89*t[62])/4 + (33*t[63])/4 + (35*t[64])/4 - 
       (79*t[65])/6 - (203*t[66])/6 + 3*t[74] + (3*t[81])/2 - (3*t[82])/2 - 
       4*t[83] + (21*t[85])/4 - (41*t[86])/2 - (5*t[87])/4 - (5*t[88])/8 + 
       (33*t[89])/8 - 12*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - u]*(t[2] + (65*t[3])/8 + (119*t[4])/8 + 
       (11*t[5])/8 + (61*t[6])/8 - (57*t[7])/4 - (115*t[8])/8 - 
       (231*t[9])/16 - (331*t[10])/16 + (7*t[11])/8 - (135*t[12])/16 - 
       (845*t[13])/144 - (233*t[14])/32 - (25*t[15])/12 + t[18]/2 + 2*t[23] + 
       2*t[24] + 2*t[31] - t[41]/2 + (3*t[42])/4 + (81*t[43])/8 - 
       (109*t[45])/8 + (43*t[47])/4 + t[48] + (13*t[49])/16 - 4*t[50] - 
       (13*t[51])/32 + 4*t[52] - (13*t[53])/16 + (3*t[54])/8 - (3*t[59])/4 + 
       (17*t[60])/8 + 19*t[61] + (107*t[62])/4 + 18*t[63] - (19*t[64])/4 - 
       (197*t[65])/12 - (139*t[66])/12 + (3*t[74])/2 - 6*t[79] + 
       (3*t[81])/4 - (3*t[82])/4 - 4*t[83] + (21*t[85])/8 - (103*t[86])/4 - 
       (13*t[87])/8 - (13*t[88])/16 + (81*t[89])/16 - 12*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u]*
      ((5*t[1])/4 - (53*t[3])/8 - (31*t[4])/8 + (39*t[5])/8 + (287*t[6])/16 - 
       (27*t[7])/16 - (79*t[8])/16 - (37*t[9])/8 - (99*t[10])/16 + 
       (119*t[11])/16 - (3*t[12])/8 - (35*t[13])/36 + (257*t[14])/24 + 
       (225*t[15])/32 + (3*t[31])/2 + (73*t[43])/16 + (3*t[46])/4 + 
       (3*t[48])/16 - 2*t[49] - (29*t[50])/16 + (7*t[51])/16 + 
       (29*t[52])/16 + 2*t[53] + (13*t[54])/16 - (3*t[59])/4 + (17*t[60])/8 + 
       19*t[61] + (107*t[62])/4 + 18*t[63] - (19*t[64])/4 - (197*t[65])/12 - 
       (139*t[66])/12 + (3*t[74])/2 - 6*t[79] + (3*t[81])/4 - (3*t[82])/4 - 
       4*t[83] + (21*t[85])/8 - (103*t[86])/4 - (13*t[87])/8 - 
       (13*t[88])/16 + (81*t[89])/16 - 12*t[100]) + 
     HPL[{0, 1}, 1 - w]*Ot[u, v, w]*((7*t[1])/12 - (19*t[2])/4 - 
       (481*t[3])/48 - (131*t[4])/8 + (407*t[5])/96 - (401*t[6])/48 + 
       (203*t[7])/8 + (63*t[8])/4 + (1595*t[9])/96 + (49*t[10])/16 + 
       (137*t[11])/4 + (1891*t[12])/96 + (4493*t[13])/216 + 
       (3629*t[14])/144 + (2119*t[15])/576 + (7*t[18])/3 + (4*t[20])/3 + 
       (7*t[21])/3 - t[22]/3 - (7*t[23])/3 + (11*t[24])/3 + t[25] - t[26] + 
       (5*t[27])/3 - t[29]/3 + t[30] + (4*t[32])/3 + (25*t[34])/3 - t[36] - 
       t[38]/6 - 2*t[40] + (25*t[41])/12 - (11*t[42])/12 - (59*t[43])/48 + 
       t[44]/6 - (37*t[45])/12 + t[46]/4 + (17*t[47])/2 - (91*t[48])/16 + 
       (37*t[49])/48 - (25*t[50])/48 + (17*t[51])/96 - (55*t[52])/48 - 
       (37*t[53])/48 - (25*t[54])/48 - t[58]/6 - t[59]/2 + (94*t[60])/3 + 
       (1253*t[61])/24 - (1071*t[62])/16 - t[63]/16 + (203*t[64])/16 + 
       (2831*t[65])/72 - (5333*t[66])/72 - (14*t[70])/3 + (14*t[71])/3 + 
       (8*t[72])/3 - 2*t[73] - 4*t[74] + 2*t[75] + (32*t[76])/3 + t[77]/3 - 
       (14*t[78])/3 + (167*t[80])/6 + (17*t[81])/3 + (19*t[82])/3 + 
       (8*t[83])/3 - t[84]/3 + (43*t[85])/6 + (251*t[86])/12 - 
       (133*t[87])/6 - (133*t[88])/12 - (2*t[89])/3 + (4*t[97])/3 + 
       52*t[98] - 54*t[99] - 12*t[100]) + HPL[{0, 1}, 1 - v]*Ot[u, v, w]*
      ((37*t[1])/12 - (43*t[2])/12 - (167*t[3])/48 - (17*t[4])/8 - 
       (947*t[5])/96 - 14*t[6] + (575*t[7])/16 - (643*t[8])/48 + 
       (4807*t[9])/96 - (449*t[10])/24 + (803*t[11])/24 + (1673*t[12])/96 + 
       (12071*t[13])/864 + (805*t[14])/48 - (5129*t[15])/576 + (7*t[18])/3 - 
       (4*t[20])/3 + (7*t[21])/3 - (17*t[22])/3 - (7*t[23])/3 + (7*t[24])/3 - 
       (5*t[25])/3 + t[26]/3 - t[27] + t[29]/3 - t[30] - t[31]/3 - 
       (4*t[32])/3 + (25*t[34])/3 - t[36] - t[38]/6 + (2*t[40])/3 - 
       (5*t[41])/12 + (19*t[42])/12 - (55*t[43])/24 + t[44]/6 - 
       (205*t[45])/24 - (7*t[46])/12 + (75*t[47])/4 - (227*t[48])/48 + 
       (17*t[49])/16 + (39*t[50])/16 + (127*t[51])/96 - (325*t[52])/48 - 
       (17*t[53])/16 - (131*t[54])/48 + (7*t[58])/6 - t[59]/2 + 
       (94*t[60])/3 + (1253*t[61])/24 - (1071*t[62])/16 - t[63]/16 + 
       (203*t[64])/16 + (2831*t[65])/72 - (5333*t[66])/72 - (14*t[70])/3 + 
       (14*t[71])/3 + (8*t[72])/3 - 2*t[73] - 4*t[74] + 2*t[75] + 
       (32*t[76])/3 + t[77]/3 - (14*t[78])/3 + (167*t[80])/6 + (17*t[81])/3 + 
       (19*t[82])/3 + (8*t[83])/3 - t[84]/3 + (43*t[85])/6 + (251*t[86])/12 - 
       (133*t[87])/6 - (133*t[88])/12 - (2*t[89])/3 + (4*t[97])/3 + 
       52*t[98] - 54*t[99] - 12*t[100]) + D27[u, v, w]*
      (-t[2]/2 + 4*t[4] + 2*t[5] - 3*t[6] + t[9]/2 - 3*t[10] - t[11] - 
       4*t[12] + (55*t[13])/36 + (2*t[14])/3 + t[15]/3 - t[41]/2 + t[42]/2 + 
       t[49] - t[53] - t[59]/2 + 14*t[60] - (3*t[61])/2 + (3*t[62])/2 - 
       (3*t[63])/2 - 15*t[64] + 2*t[65] - (19*t[66])/3 + 4*t[76] + t[77] - 
       2*t[78] + 4*t[80] + 2*t[81] + 2*t[84] + 3*t[85] - 9*t[87] - 
       (9*t[88])/2 + 2*t[89] + 24*t[98] - 24*t[99] - 12*t[100]) + 
     D27[u, w, v]*(-t[1]/2 + t[2] - 7*t[3] - (9*t[5])/2 + 2*t[6] + 14*t[7] - 
       10*t[8] + 15*t[9] - 4*t[10] - t[11]/2 + 4*t[12] + (61*t[13])/12 + 
       (32*t[14])/3 - (7*t[15])/12 + 4*t[23] + 4*t[34] - 4*t[45] + 4*t[47] - 
       (5*t[48])/2 + (3*t[50])/2 - (13*t[52])/2 + t[54]/2 - t[59]/2 + 
       14*t[60] - (3*t[61])/2 + (3*t[62])/2 - (3*t[63])/2 - 15*t[64] + 
       2*t[65] - (19*t[66])/3 + 4*t[76] + t[77] - 2*t[78] + 4*t[80] + 
       2*t[81] + 2*t[84] + 3*t[85] - 9*t[87] - (9*t[88])/2 + 2*t[89] + 
       24*t[98] - 24*t[99] - 12*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*((-37*t[1])/12 - (31*t[3])/4 - 70*t[4] + 
       74*t[5] + (443*t[6])/16 - 10*t[7] + (131*t[8])/4 - (593*t[9])/8 + 
       (271*t[10])/4 - (25*t[11])/16 + (3*t[12])/4 - (273*t[13])/16 + 
       t[14]/16 + (1513*t[15])/48 - t[16] - 3*t[18] - 2*t[19] - 2*t[21] + 
       4*t[22] + 3*t[23] - 6*t[24] - t[25] + 4*t[26] - 2*t[27] + 4*t[28] + 
       t[29]/4 - (9*t[30])/4 - 2*t[34] + 2*t[36] + 2*t[37] - 4*t[38] + 
       (19*t[39])/4 - (11*t[40])/4 - (3*t[41])/2 + t[42]/2 + 22*t[43] - 
       (17*t[44])/4 + (45*t[45])/4 + (3*t[46])/2 - (61*t[47])/2 + 
       (275*t[48])/16 - (11*t[49])/4 - (25*t[50])/16 + (5*t[51])/2 + 
       (57*t[52])/16 + (11*t[53])/4 + (49*t[54])/16 - t[58] + 
       (157*t[59])/12 - (613*t[60])/8 + (345*t[61])/8 + (457*t[62])/16 + 
       (1371*t[63])/16 + (441*t[64])/16 - (53*t[65])/24 + (989*t[66])/24 + 
       t[67]/2 + 4*t[69] + t[70] - t[71] + 10*t[72] - 14*t[73] + 3*t[74] + 
       7*t[75] - (33*t[76])/4 + 14*t[77] + 4*t[78] + t[79] - 8*t[80] - 
       8*t[81] + 13*t[82] + (21*t[83])/2 - (13*t[84])/8 - (147*t[85])/8 - 
       (109*t[86])/2 + (275*t[87])/8 + (275*t[88])/16 - (143*t[89])/16 - 
       48*t[98] + 36*t[99] - 12*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((-9*t[1])/2 + (5*t[2])/4 + 16*t[3] + 
       (17*t[4])/8 - (205*t[5])/4 - (739*t[6])/24 - (221*t[7])/8 - 
       (305*t[8])/8 - (3*t[9])/8 - (1093*t[10])/16 + 5*t[11] + 
       (537*t[12])/16 - (295*t[13])/16 - (3017*t[14])/96 - (433*t[15])/36 - 
       (37*t[18])/6 - t[19]/2 - 3*t[20] - 2*t[21] - 4*t[22] + t[23]/2 + 
       t[24] - 2*t[25] + 2*t[26] + 4*t[27] + 4*t[28] - 4*t[29] + 5*t[30] - 
       3*t[31] - 4*t[32] + 3*t[33] - 2*t[34] - 3*t[35] - 2*t[36] + t[37]/2 - 
       t[38] + 4*t[39] + 4*t[40] + 8*t[41] - (103*t[42])/12 + (29*t[43])/8 - 
       (5*t[45])/2 + 3*t[46] - 6*t[47] - (17*t[48])/2 - (185*t[49])/16 - 
       t[50] + (33*t[51])/32 - t[52] + (185*t[53])/16 + (167*t[54])/8 - 
       t[58] + (157*t[59])/12 - (613*t[60])/8 + (345*t[61])/8 + 
       (457*t[62])/16 + (1371*t[63])/16 + (441*t[64])/16 - (53*t[65])/24 + 
       (989*t[66])/24 + t[67]/2 + 4*t[69] + t[70] - t[71] + 10*t[72] - 
       14*t[73] + 3*t[74] + 7*t[75] - (33*t[76])/4 + 14*t[77] + 4*t[78] + 
       t[79] - 8*t[80] - 8*t[81] + 13*t[82] + (21*t[83])/2 - (13*t[84])/8 - 
       (147*t[85])/8 - (109*t[86])/2 + (275*t[87])/8 + (275*t[88])/16 - 
       (143*t[89])/16 - 48*t[98] + 36*t[99] - 12*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2*
      (t[1]/8 + (21*t[2])/2 + (5*t[3])/2 + (313*t[4])/48 - (575*t[5])/96 + 
       (77*t[6])/96 + (275*t[7])/32 - (239*t[8])/96 + (279*t[9])/32 - 
       (33*t[10])/32 + (613*t[11])/96 - (313*t[12])/96 + (1175*t[13])/288 + 
       (2497*t[14])/288 + (203*t[15])/32 - t[18]/3 - t[20]/3 - t[21]/3 + 
       t[22]/3 + t[23]/3 - (2*t[24])/3 - (2*t[27])/3 - t[28]/2 - t[29]/6 + 
       (5*t[31])/4 - t[32]/3 - (11*t[34])/6 - 2*t[35] - (3*t[37])/2 + 
       t[38]/6 + t[40]/4 - (13*t[41])/12 + (11*t[42])/12 - (35*t[43])/32 + 
       (4*t[44])/3 + (55*t[45])/12 + (7*t[46])/8 - (19*t[47])/2 - 
       (95*t[48])/32 + t[49] + (259*t[50])/96 - (21*t[51])/32 - 
       (81*t[52])/32 - t[53] - (371*t[54])/96 + t[58]/6 - (13*t[59])/24 + 
       (75*t[60])/16 + (55*t[61])/4 - (421*t[62])/48 - (211*t[63])/16 - 
       (2383*t[64])/48 - (55*t[65])/8 - (179*t[66])/8 + (2*t[70])/3 - 
       (2*t[71])/3 - (11*t[72])/12 + t[74]/4 - (3*t[75])/2 - (8*t[76])/3 + 
       (11*t[77])/12 + (5*t[78])/3 + 2*t[79] - (52*t[80])/3 - (7*t[81])/24 - 
       (137*t[82])/24 + 6*t[83] + (23*t[84])/24 + (61*t[85])/48 + 
       (37*t[86])/8 - (3*t[87])/16 - (3*t[88])/32 - (47*t[89])/96 - t[97]/3 - 
       16*t[98] + 24*t[99] - (23*t[100])/2) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*((215*t[1])/144 + 
       (55*t[2])/36 - (5*t[3])/144 - (179*t[4])/144 + (1201*t[5])/144 + 
       (7513*t[6])/576 - (2221*t[7])/192 - (6185*t[8])/576 - 
       (2245*t[9])/192 - (71*t[10])/18 + (281*t[11])/576 - (1145*t[12])/192 - 
       (28937*t[13])/5184 + (1211*t[14])/384 + (25015*t[15])/3456 + 
       (5*t[18])/72 + (5*t[23])/36 + (5*t[24])/36 + (205*t[31])/72 + 
       (37*t[41])/144 - (5*t[42])/144 + (303*t[43])/64 - (1915*t[45])/288 + 
       (95*t[46])/48 + (481*t[47])/144 - (221*t[48])/576 - (1925*t[49])/576 - 
       (1549*t[50])/576 + (215*t[51])/1152 + (1549*t[52])/576 + 
       (1925*t[53])/576 + (143*t[54])/64 + t[59]/2 + (211*t[60])/36 + 
       (281*t[61])/18 + (6335*t[62])/144 + (359*t[63])/48 - 
       (4459*t[64])/144 - (607*t[65])/54 + (223*t[66])/54 + (15*t[74])/2 - 
       (14*t[79])/3 + (121*t[80])/12 + (7*t[81])/6 - (7*t[82])/6 - 
       (34*t[83])/9 + (4*t[84])/3 + (65*t[85])/12 - (1441*t[86])/36 - 
       (251*t[87])/36 - (251*t[88])/72 - (11*t[89])/4 - (34*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((-5*t[1])/8 + 6*t[2] - (31*t[3])/32 + (193*t[4])/16 - (779*t[5])/64 + 
       (257*t[6])/32 - (123*t[7])/16 - 6*t[8] + (537*t[9])/64 + 
       (373*t[10])/32 - (141*t[11])/8 - (463*t[12])/64 - (2155*t[13])/144 + 
       (185*t[14])/96 + (343*t[15])/1152 - (5*t[18])/2 - t[20] - 
       (5*t[21])/2 - t[22]/2 + (5*t[23])/2 - (7*t[24])/2 + t[25]/2 - 
       t[27]/2 + t[28]/2 + (3*t[29])/2 - t[30]/2 - 2*t[31] + (3*t[32])/2 - 
       (5*t[33])/2 - t[34] - t[36]/2 - (3*t[38])/2 + (5*t[39])/2 - 
       (13*t[40])/4 - (9*t[41])/8 - t[42]/8 + (67*t[43])/32 - (3*t[44])/4 + 
       (3*t[45])/8 + (3*t[46])/8 - (13*t[47])/2 + (93*t[48])/32 + 
       (47*t[49])/32 + (101*t[50])/32 - (177*t[51])/64 + (107*t[52])/32 - 
       (47*t[53])/32 - (43*t[54])/32 - t[58]/4 + (3*t[59])/8 - (73*t[60])/4 - 
       (397*t[61])/16 + (979*t[62])/32 + (1005*t[63])/32 - (677*t[64])/32 - 
       (715*t[65])/16 + (2029*t[66])/48 - (3*t[69])/2 + (7*t[70])/2 - 
       (7*t[71])/2 - t[72]/2 - t[73] + 2*t[74] + t[75] - 5*t[76] + 
       (5*t[77])/4 + t[78] - (47*t[80])/4 - (5*t[81])/2 - (11*t[82])/4 - 
       2*t[83] - (13*t[84])/8 - (17*t[85])/8 - (139*t[86])/8 + (37*t[87])/8 + 
       (37*t[88])/16 - 17*t[89] - t[97]/4 - 24*t[98] + 21*t[99] - 
       (21*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      ((-5*t[1])/6 + (5*t[2])/3 - (13*t[3])/12 - (85*t[4])/12 + (43*t[5])/4 + 
       (151*t[6])/12 - (173*t[7])/24 - (253*t[8])/24 - (313*t[9])/24 + 
       (7*t[10])/24 - (5*t[11])/4 - (13*t[12])/2 - (787*t[13])/108 + 
       (229*t[14])/36 + (505*t[15])/48 + 3*t[31] + t[41]/3 - t[42]/3 + 
       (113*t[43])/24 + t[44] - (23*t[45])/6 + (8*t[46])/3 - (4*t[47])/3 - 
       t[48]/4 - (19*t[49])/6 - (23*t[50])/12 + t[51]/12 + (23*t[52])/12 + 
       (19*t[53])/6 + (31*t[54])/12 + (5*t[59])/3 + (73*t[60])/12 + 
       (97*t[61])/6 + (161*t[62])/4 + (101*t[63])/12 - (437*t[64])/12 - 
       (311*t[65])/36 + (37*t[66])/36 + (20*t[74])/3 - 6*t[79] + 
       (14*t[80])/3 + (2*t[81])/3 - (2*t[82])/3 - (10*t[83])/3 + 
       (4*t[84])/3 + (11*t[85])/3 - 39*t[86] - (20*t[87])/3 - (10*t[88])/3 - 
       (27*t[89])/8 - 10*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      Omega2[u, v, w]*((7*t[1])/6 + (11*t[2])/4 - (5*t[3])/3 - (15*t[4])/4 + 
       (271*t[5])/24 - (89*t[6])/24 + (131*t[7])/8 + (33*t[8])/8 + 
       (47*t[9])/12 + (7*t[10])/2 + 26*t[11] - (2*t[12])/3 + 
       (9941*t[13])/432 + (619*t[14])/144 + (47*t[15])/6 + (2*t[18])/3 - 
       t[19] + (2*t[20])/3 - t[21]/3 - (2*t[22])/3 + t[23]/3 + (4*t[24])/3 + 
       (4*t[27])/3 - t[28] - (2*t[29])/3 + t[30] - 2*t[31] + (2*t[32])/3 + 
       (11*t[34])/3 - t[37] - t[38]/3 - t[39] - t[40] - (4*t[41])/3 + 
       (5*t[42])/3 + (55*t[43])/24 + t[44]/3 - (29*t[45])/12 - t[46]/2 + 
       (11*t[47])/2 - (25*t[48])/4 + (67*t[49])/24 + (55*t[50])/12 + 
       (11*t[51])/48 - (59*t[52])/12 - (67*t[53])/24 - (61*t[54])/6 - 
       t[58]/3 + (20*t[60])/3 + (50*t[61])/3 - 42*t[62] - 7*t[63] - 
       18*t[64] + (122*t[65])/9 - (452*t[66])/9 - (4*t[70])/3 + (4*t[71])/3 - 
       (2*t[72])/3 - 2*t[74] - 2*t[75] + (16*t[76])/3 - (4*t[77])/3 - 
       (10*t[78])/3 - 4*t[79] + (68*t[80])/3 + (10*t[81])/3 + (2*t[82])/3 + 
       (40*t[83])/3 - (11*t[84])/3 + (19*t[85])/3 + (100*t[86])/3 - 
       (13*t[87])/3 - (13*t[88])/6 - (10*t[89])/3 + (2*t[97])/3 + 32*t[98] - 
       28*t[99] - 10*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Omega2[w, u, v]*((-5*t[1])/6 + (85*t[2])/12 + (2*t[3])/3 - (5*t[4])/4 - 
       (475*t[5])/24 - (89*t[6])/8 + (109*t[7])/8 - (163*t[8])/24 + 
       (409*t[9])/12 - (50*t[10])/3 + (37*t[11])/6 + (79*t[12])/6 + 
       (971*t[13])/432 + (527*t[14])/48 - (62*t[15])/9 + (2*t[18])/3 + 
       t[19] - (2*t[20])/3 + (5*t[21])/3 - (10*t[22])/3 - (5*t[23])/3 + 
       (2*t[24])/3 - (4*t[25])/3 + (2*t[26])/3 - t[28] + (2*t[29])/3 + 
       t[30] + (4*t[31])/3 - (2*t[32])/3 + (11*t[34])/3 - t[37] - t[38]/3 - 
       t[39] + t[40]/3 + (2*t[41])/3 - t[42]/3 - (23*t[43])/24 + t[44]/3 - 
       (91*t[45])/12 + (5*t[46])/6 + (29*t[47])/2 - (55*t[48])/12 + 
       (3*t[49])/8 - (3*t[50])/4 - (11*t[51])/48 - (11*t[52])/12 - 
       (3*t[53])/8 + (5*t[54])/3 + t[58]/3 + (20*t[60])/3 + (50*t[61])/3 - 
       42*t[62] - 7*t[63] - 18*t[64] + (122*t[65])/9 - (452*t[66])/9 - 
       (4*t[70])/3 + (4*t[71])/3 - (2*t[72])/3 - 2*t[74] - 2*t[75] + 
       (16*t[76])/3 - (4*t[77])/3 - (10*t[78])/3 - 4*t[79] + (68*t[80])/3 + 
       (10*t[81])/3 + (2*t[82])/3 + (40*t[83])/3 - (11*t[84])/3 + 
       (19*t[85])/3 + (100*t[86])/3 - (13*t[87])/3 - (13*t[88])/6 - 
       (10*t[89])/3 + (2*t[97])/3 + 32*t[98] - 28*t[99] - 10*t[100]) + 
     D36[u, v, w]*(t[1]/6 + t[2]/3 - (5*t[3])/6 + (19*t[4])/8 - 
       (13*t[5])/24 + t[6]/3 - (73*t[7])/48 - t[8]/16 - (13*t[9])/16 + 
       (5*t[10])/12 + (7*t[11])/48 - (85*t[12])/48 + (199*t[13])/288 + 
       (175*t[14])/96 + (137*t[15])/288 - t[18]/3 - t[21]/3 - t[24]/3 + 
       t[25]/3 - t[26]/6 - t[27]/3 + t[32]/3 - t[34]/3 - t[40]/3 - t[41]/3 + 
       t[42]/6 + (31*t[43])/48 - t[44]/6 + (3*t[45])/8 - t[46]/4 - 
       (17*t[47])/12 + (23*t[48])/48 + (17*t[49])/48 - t[50]/48 + 
       (3*t[51])/32 + (25*t[52])/48 - (17*t[53])/48 - t[54]/48 - t[59]/3 + 
       (9*t[60])/4 + (10*t[61])/3 + (41*t[62])/12 + (25*t[63])/12 - 
       (19*t[64])/4 - (71*t[65])/12 - (95*t[66])/36 + (2*t[70])/3 - 
       (2*t[71])/3 + t[74]/3 - (2*t[76])/3 - t[77]/6 + (2*t[78])/3 - 
       (4*t[80])/3 + t[81]/6 - (5*t[82])/6 + (5*t[84])/6 - (5*t[85])/4 - 
       (17*t[86])/6 - (5*t[87])/12 - (5*t[88])/24 - (25*t[89])/24 - 4*t[98] + 
       6*t[99] - 10*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((13*t[1])/12 + (31*t[2])/12 + 
       (23*t[3])/12 + (59*t[4])/24 - (25*t[5])/24 + (137*t[6])/12 - 
       (61*t[7])/24 + (22*t[8])/3 - t[9]/4 - (527*t[10])/24 - 
       (427*t[11])/48 - (293*t[12])/24 - (85*t[13])/96 - (805*t[14])/72 - 
       (39*t[15])/16 - (4*t[18])/3 - (4*t[20])/3 - (4*t[21])/3 + 
       (4*t[22])/3 + (4*t[23])/3 - (8*t[24])/3 - (8*t[27])/3 - (2*t[29])/3 - 
       2*t[30] - (5*t[31])/6 - (4*t[32])/3 - (22*t[34])/3 + 2*t[36] + 
       (2*t[38])/3 + 2*t[40] - (43*t[41])/12 + (35*t[42])/12 + t[43]/12 - 
       (2*t[44])/3 + (71*t[45])/24 - (7*t[46])/12 + (11*t[47])/4 + 
       (323*t[48])/48 - (9*t[49])/4 + (19*t[50])/48 + (25*t[51])/16 + 
       (13*t[52])/48 + (9*t[53])/4 + (23*t[54])/16 + (2*t[58])/3 - 
       (5*t[59])/3 - (109*t[60])/6 - (113*t[61])/12 + (301*t[62])/24 - 
       (509*t[63])/24 + (911*t[64])/24 - (341*t[65])/36 + (215*t[66])/36 + 
       (8*t[70])/3 - (8*t[71])/3 - (8*t[72])/3 + 4*t[73] - (2*t[74])/3 - 
       4*t[75] - (26*t[76])/3 - (10*t[77])/3 + (14*t[78])/3 + (4*t[79])/3 - 
       15*t[80] - (11*t[81])/3 - (25*t[82])/3 - 2*t[83] + 3*t[84] - 
       (55*t[85])/6 + (103*t[86])/6 + (131*t[87])/6 + (131*t[88])/12 + 
       (41*t[89])/4 - (4*t[97])/3 - 40*t[98] + 48*t[99] - 10*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((11*t[1])/12 + (16*t[2])/9 - (151*t[3])/144 - (187*t[4])/12 + 
       (1127*t[5])/96 + (1121*t[6])/96 - (1181*t[7])/144 - 18*t[8] - 
       (4687*t[9])/288 + (461*t[10])/72 - (1063*t[11])/288 - (177*t[12])/32 - 
       (8437*t[13])/864 + (1825*t[14])/432 + (8137*t[15])/576 + 
       (43*t[31])/12 - (7*t[41])/36 + (7*t[42])/36 + (317*t[43])/72 + 
       2*t[44] + t[45]/144 + (305*t[46])/72 - (601*t[47])/72 - 
       (43*t[48])/96 - (851*t[49])/144 - (529*t[50])/288 + (7*t[51])/9 + 
       (529*t[52])/288 + (851*t[53])/144 + (845*t[54])/288 + t[59]/12 + 
       (61*t[60])/9 + (49*t[61])/4 + (3989*t[62])/72 + (497*t[63])/72 - 
       (459*t[64])/8 - (757*t[65])/216 + (395*t[66])/24 - t[69] + 
       (64*t[74])/9 - (16*t[79])/3 - (257*t[80])/36 + (13*t[81])/9 - 
       (13*t[82])/9 - (59*t[83])/18 + (29*t[84])/36 + (193*t[85])/36 - 
       (584*t[86])/9 - (227*t[87])/36 - (227*t[88])/72 - (3*t[89])/4 - 
       (59*t[100])/6) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*(t[1]/8 + (15*t[2])/8 - (69*t[3])/128 - 
       (11*t[4])/32 - (9*t[5])/256 - (725*t[6])/384 + (243*t[7])/128 - 
       (45*t[8])/128 + (569*t[9])/256 - (297*t[10])/128 + (649*t[11])/128 + 
       (57*t[12])/256 + (4573*t[13])/2304 + (3289*t[14])/768 + 
       (2929*t[15])/1536 + t[18]/8 - t[22]/4 + t[23]/4 + t[24]/4 + t[25]/4 - 
       t[26]/4 + t[27]/4 + t[28]/4 - (3*t[29])/8 + t[30]/8 - t[31]/4 + 
       t[32]/2 - t[33]/2 + (9*t[34])/8 - (3*t[36])/8 - t[37]/4 - t[38]/4 + 
       t[39]/2 - (5*t[40])/8 + t[41]/8 + t[42]/12 + (129*t[43])/64 - 
       t[44]/4 - (177*t[45])/64 + t[46]/4 + (85*t[47])/32 - (19*t[48])/16 + 
       (5*t[49])/16 + (5*t[50])/16 - (11*t[51])/32 - (3*t[52])/16 - 
       (5*t[53])/16 - (9*t[54])/16 - t[58]/4 + (7*t[59])/24 - (7*t[60])/16 + 
       (777*t[61])/64 - (813*t[62])/128 + (1197*t[63])/128 - 
       (231*t[64])/128 - (65*t[65])/64 - (741*t[66])/64 - t[69]/4 - t[70]/4 + 
       t[71]/4 + t[72]/2 - t[73] + t[74]/4 + (3*t[75])/4 + (11*t[76])/8 + 
       (3*t[77])/8 - (5*t[78])/8 - t[79] + (95*t[80])/16 + (7*t[81])/8 + 
       (7*t[82])/8 + (5*t[83])/2 - t[84]/2 + (11*t[85])/16 + (11*t[86])/32 - 
       (15*t[87])/16 - (15*t[88])/32 - (103*t[89])/32 + t[97]/4 + 
       (15*t[98])/2 - 7*t[99] - (19*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      ((-49*t[1])/12 - 3*t[2] + (173*t[3])/24 + 8*t[4] + (119*t[5])/48 + 
       (247*t[6])/24 - (263*t[7])/8 - (83*t[8])/8 - (1099*t[9])/48 - 
       (95*t[10])/8 - (469*t[11])/8 - (635*t[12])/48 - (14341*t[13])/432 - 
       (4415*t[14])/144 - (2083*t[15])/288 - (4*t[18])/3 - (4*t[20])/3 - 
       (4*t[21])/3 + (4*t[22])/3 + (4*t[23])/3 - (2*t[24])/3 - t[26]/2 - 
       (8*t[27])/3 - t[28] - (2*t[29])/3 - 2*t[30] + 2*t[31] - (4*t[32])/3 - 
       (41*t[34])/6 + 2*t[36] + t[37] + (2*t[38])/3 + 3*t[40] - 
       (19*t[41])/12 + (11*t[42])/12 + (11*t[43])/12 + t[44]/3 - 
       (5*t[45])/12 + t[46] - (11*t[47])/2 + (13*t[48])/2 - (23*t[49])/6 - 
       (31*t[50])/6 + (5*t[51])/12 + (10*t[52])/3 + (23*t[53])/6 + 
       (65*t[54])/6 + t[58]/6 + t[59]/4 - (229*t[60])/12 - (467*t[61])/6 + 
       (851*t[62])/8 + (9*t[63])/8 + (111*t[64])/4 - (1147*t[65])/36 + 
       (1057*t[66])/9 + 3*t[69] + (14*t[70])/3 - (14*t[71])/3 - (8*t[72])/3 + 
       4*t[73] + 6*t[74] - 2*t[75] - (31*t[76])/6 - (17*t[77])/6 + 
       (8*t[78])/3 + 4*t[79] - (76*t[80])/3 - (31*t[81])/6 - (5*t[82])/6 - 
       (79*t[83])/6 + (13*t[84])/3 - (55*t[85])/6 - (217*t[86])/6 + 
       (41*t[87])/3 + (41*t[88])/6 + (181*t[89])/24 - (5*t[97])/6 - 
       16*t[98] + 16*t[99] - (19*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*((-5*t[1])/6 - t[2]/2 - 
       (17*t[3])/3 + (545*t[4])/48 - (399*t[5])/32 + (41*t[6])/16 + 
       (11*t[7])/16 + (79*t[8])/8 + (451*t[9])/48 + (1441*t[10])/96 - 
       (7*t[11])/8 + (59*t[12])/48 + (4829*t[13])/864 + (1435*t[14])/192 - 
       (1861*t[15])/576 - (5*t[18])/12 + t[20]/12 - t[21]/3 + (5*t[22])/3 - 
       t[23]/3 - t[24] + (2*t[25])/3 - t[26]/3 - t[29]/3 - t[31]/3 + 
       t[32]/12 - (25*t[34])/12 + 2*t[35] + t[36]/2 + t[38]/6 - t[40]/6 + 
       (5*t[41])/6 - (11*t[42])/8 - (205*t[43])/48 - (7*t[44])/6 + 
       (331*t[45])/48 - (5*t[46])/3 - (125*t[47])/24 + (7*t[48])/12 + 
       (163*t[49])/96 - (5*t[50])/12 - t[51]/64 + (5*t[52])/4 - 
       (163*t[53])/96 - (31*t[54])/48 - t[58]/6 + (13*t[59])/24 + 
       (223*t[60])/48 + (31*t[61])/3 - (599*t[62])/48 - (233*t[63])/16 - 
       (2453*t[64])/48 - (337*t[65])/72 - (1181*t[66])/72 + (2*t[70])/3 - 
       (2*t[71])/3 - (11*t[72])/12 - t[74]/4 - (3*t[75])/2 - (8*t[76])/3 + 
       (11*t[77])/12 + (5*t[78])/3 + 2*t[79] - (52*t[80])/3 - (13*t[81])/24 - 
       (131*t[82])/24 + (20*t[83])/3 + (23*t[84])/24 + (19*t[85])/48 + 
       (193*t[86])/24 + t[87]/48 + t[88]/96 - (113*t[89])/96 - t[97]/3 - 
       16*t[98] + 24*t[99] - (19*t[100])/2) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((-179*t[1])/36 + 
       (143*t[2])/12 - (433*t[3])/144 + (493*t[4])/48 - (14803*t[5])/288 + 
       (1163*t[6])/72 + (2119*t[7])/24 + (859*t[8])/24 + (27821*t[9])/288 - 
       (5107*t[10])/96 + (431*t[11])/16 + (5087*t[12])/144 - 
       (3911*t[13])/1296 + (40913*t[14])/1728 - (16157*t[15])/576 - 
       (5*t[17])/8 - (7*t[18])/18 - (19*t[20])/18 - (17*t[21])/9 + 
       (2*t[22])/9 + (17*t[23])/9 - (4*t[24])/9 + 2*t[25] - (3*t[26])/4 - 
       (59*t[27])/18 + 4*t[28] + (17*t[29])/9 - (31*t[30])/12 + 
       (17*t[31])/3 + (28*t[32])/9 - (25*t[33])/6 + (143*t[34])/18 + 
       3*t[35] - (5*t[36])/6 + 3*t[37] - (65*t[38])/36 + (31*t[39])/6 - 
       (25*t[40])/3 - (77*t[41])/36 + (35*t[42])/18 - (2195*t[43])/144 - 
       (19*t[44])/9 - (313*t[45])/144 - t[46]/8 + (529*t[47])/24 + 
       (245*t[48])/48 + (773*t[49])/288 + (1403*t[50])/144 - 
       (2363*t[51])/576 + (485*t[52])/144 - (773*t[53])/288 + 
       (113*t[54])/36 + (85*t[58])/36 - (13*t[59])/4 + (265*t[60])/9 + 
       (5603*t[61])/72 - (4985*t[62])/32 - (2837*t[63])/96 + (263*t[64])/32 + 
       (10835*t[65])/216 - (11945*t[66])/216 + (2*t[69])/3 + (35*t[70])/18 - 
       (35*t[71])/18 + (2*t[72])/9 + (37*t[73])/12 - (11*t[74])/12 - 
       (37*t[75])/12 - (151*t[76])/36 - t[77]/18 + (157*t[78])/36 - 
       16*t[79] - (791*t[80])/36 - (53*t[81])/18 - (163*t[82])/18 + 
       (17*t[83])/36 + (481*t[84])/72 + (523*t[85])/72 + (8269*t[86])/72 - 
       (1309*t[87])/72 - (1309*t[88])/144 + (97*t[89])/144 - t[94]/4 - 
       (25*t[97])/18 - (83*t[98])/3 + 41*t[99] - (19*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      ((17*t[1])/16 - (845*t[2])/288 + (41*t[3])/144 + (973*t[4])/288 + 
       (1307*t[5])/576 + (491*t[6])/144 - (77*t[7])/12 + (2575*t[8])/288 - 
       (255*t[9])/32 + (2287*t[10])/576 + (613*t[11])/144 - (43*t[12])/12 + 
       (8335*t[13])/2592 + (1691*t[14])/1152 + (10193*t[15])/3456 + 
       (23*t[18])/36 - t[19]/4 - t[20] + t[22] + (5*t[23])/18 + (7*t[24])/9 - 
       t[29]/4 - t[30]/4 - (2*t[31])/9 - t[32]/4 - (9*t[34])/8 + 
       (3*t[38])/8 + t[39]/4 + (3*t[40])/8 - (47*t[41])/72 + 
       (197*t[42])/144 + (17*t[43])/96 - (3*t[44])/4 + (367*t[45])/288 - 
       t[46]/8 - (589*t[47])/144 + (257*t[48])/144 + (335*t[49])/576 - 
       (227*t[50])/144 + (61*t[51])/1152 + (101*t[52])/144 - 
       (335*t[53])/576 - (95*t[54])/96 + t[58]/4 - (47*t[59])/36 + 
       (1135*t[60])/288 + (455*t[61])/36 + (383*t[62])/288 - (779*t[63])/96 - 
       (1897*t[64])/288 + (4163*t[65])/432 - (4715*t[66])/432 - t[70] + 
       t[71] + t[72] - t[74]/12 + (3*t[78])/4 - (13*t[79])/24 - 
       (143*t[80])/24 + (41*t[81])/48 - (77*t[82])/48 - (47*t[83])/36 + 
       (21*t[84])/16 + (53*t[85])/96 - (1409*t[86])/144 + (109*t[87])/288 + 
       (37*t[88])/576 + (757*t[89])/192 - 3*t[98] + 6*t[99] - 
       (55*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*((-3*t[1])/2 - (3*t[2])/2 + (19*t[3])/12 - 
       (85*t[4])/12 + (79*t[5])/6 + (253*t[6])/24 - (161*t[7])/12 - 
       (31*t[8])/12 - (55*t[9])/6 + (25*t[10])/6 + (5*t[11])/12 - 8*t[12] + 
       (2717*t[13])/432 - (379*t[14])/72 + (509*t[15])/72 + t[23]/3 + 
       t[24]/3 + t[31]/3 - (7*t[41])/6 + (3*t[42])/2 + (7*t[43])/3 - 
       2*t[44] - 3*t[45] - (2*t[46])/3 - t[48]/3 - (17*t[49])/4 - 
       (5*t[50])/6 + (13*t[51])/8 + (5*t[52])/6 + (17*t[53])/4 - 
       (2*t[54])/3 - (5*t[59])/3 + 2*t[60] + (5*t[61])/3 + (437*t[62])/12 - 
       (137*t[63])/12 - (169*t[64])/6 + 2*t[65] + (77*t[66])/18 - t[70] + 
       t[71] + (16*t[74])/3 + (49*t[80])/3 + (4*t[81])/3 - (4*t[82])/3 - 
       (7*t[83])/2 + (2*t[84])/3 + (10*t[85])/3 - (103*t[86])/3 - 5*t[87] - 
       (5*t[88])/2 - (15*t[89])/2 - 9*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*(-7*t[1] - (57*t[2])/4 - (3*t[3])/4 + 
       (45*t[4])/2 - (29*t[5])/8 - (19*t[6])/2 - t[7] - (69*t[8])/2 + 
       (71*t[9])/8 - (179*t[10])/2 + (29*t[11])/2 + (181*t[12])/8 + 
       (51*t[13])/4 + (193*t[14])/12 - (239*t[15])/16 + 8*t[31] - 
       (3*t[43])/2 - 8*t[46] - 4*t[48] + (81*t[49])/4 - 4*t[50] - 
       (33*t[51])/8 + 4*t[52] - (81*t[53])/4 - 35*t[54] - (5*t[59])/2 + 
       53*t[60] + 13*t[61] + 41*t[62] + (39*t[63])/4 - (53*t[64])/2 - 
       (461*t[65])/12 - (5*t[66])/12 + 3*t[69] - 3*t[70] + 3*t[71] - 
       16*t[74] - 51*t[79] - 12*t[80] + (19*t[81])/2 - (19*t[82])/2 - 
       3*t[83] - (3*t[84])/4 + 47*t[85] + 5*t[86] - (103*t[87])/2 - 
       (103*t[88])/4 - t[89]/4 - 9*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*(-25*t[2] + (3*t[3])/2 + 27*t[4] - 
       (55*t[5])/8 + (281*t[6])/4 + 34*t[7] + (247*t[8])/4 + (161*t[9])/8 - 
       (135*t[10])/2 - (3*t[11])/4 - (51*t[12])/8 + (91*t[13])/6 + 
       (71*t[14])/8 + (209*t[15])/16 - (3*t[17])/2 + 3*t[21] + 3*t[24] + 
       27*t[31] - 4*t[41] + 4*t[42] - 37*t[45] + 39*t[47] - 21*t[48] + 
       4*t[49] - 21*t[50] - 2*t[51] + 21*t[52] - 4*t[53] + 10*t[54] - 
       (5*t[59])/2 + 53*t[60] + 13*t[61] + 41*t[62] + (39*t[63])/4 - 
       (53*t[64])/2 - (461*t[65])/12 - (5*t[66])/12 + 3*t[69] - 3*t[70] + 
       3*t[71] - 16*t[74] - 51*t[79] - 12*t[80] + (19*t[81])/2 - 
       (19*t[82])/2 - 3*t[83] - (3*t[84])/4 + 47*t[85] + 5*t[86] - 
       (103*t[87])/2 - (103*t[88])/4 - t[89]/4 - 9*t[100]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*((3*t[1])/8 - (7*t[2])/4 + 
       t[3]/2 + (13*t[4])/4 + (41*t[5])/16 + (71*t[6])/16 - (75*t[7])/8 + 
       (85*t[8])/8 - (201*t[9])/16 + (61*t[10])/8 - (63*t[11])/16 - 
       (63*t[12])/16 - (31*t[13])/36 - (7*t[14])/24 + (251*t[15])/96 + 
       2*t[22] - t[30]/2 + t[32]/2 - (9*t[34])/4 + t[38]/2 + t[39]/2 + 
       (3*t[40])/4 - (7*t[41])/8 + (7*t[42])/8 - (7*t[43])/4 - (3*t[44])/2 + 
       (19*t[45])/4 - (13*t[47])/2 + (27*t[48])/16 + t[49]/4 - 
       (29*t[50])/16 + (25*t[52])/16 - t[53]/4 - (3*t[54])/16 - t[59] + 
       t[60]/8 - (3*t[61])/8 + 5*t[62] - 7*t[63] - (167*t[64])/16 - 
       (11*t[65])/12 + (67*t[66])/8 + (3*t[72])/2 - (7*t[76])/4 - t[77] + 
       t[78] - (25*t[80])/2 - (3*t[81])/4 - t[82] - (3*t[83])/2 + t[84]/2 - 
       (9*t[85])/4 - (9*t[86])/2 + (9*t[87])/4 + (7*t[88])/8 - 
       (25*t[89])/16 - 12*t[98] + 12*t[99] - 9*t[100]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*((-5*t[1])/8 + t[2]/4 - 
       t[3]/8 + (39*t[4])/8 - 10*t[5] + (29*t[6])/16 + (13*t[7])/8 - 
       (19*t[8])/8 + (61*t[9])/8 + (7*t[10])/16 - (17*t[11])/16 + 
       (71*t[12])/16 - (397*t[13])/144 + (7*t[14])/32 - (59*t[15])/24 + 
       t[26]/4 - t[30]/2 - t[34]/4 + t[39]/2 - t[40]/4 + t[41]/8 - t[42]/8 - 
       (23*t[43])/8 + (3*t[44])/2 + t[45] - 2*t[47] + (7*t[48])/16 - 
       (21*t[49])/16 + (15*t[50])/16 + (25*t[51])/32 - (3*t[52])/16 + 
       (21*t[53])/16 - (5*t[54])/16 + t[58]/4 - t[59] + t[60]/8 - 
       (3*t[61])/8 + 5*t[62] - 7*t[63] - (167*t[64])/16 - (11*t[65])/12 + 
       (67*t[66])/8 + (3*t[72])/2 - (7*t[76])/4 - t[77] + t[78] - 
       (25*t[80])/2 - (3*t[81])/4 - t[82] - (3*t[83])/2 + t[84]/2 - 
       (9*t[85])/4 - (9*t[86])/2 + (9*t[87])/4 + (7*t[88])/8 - 
       (25*t[89])/16 - 12*t[98] + 12*t[99] - 9*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-9*t[1])/16 - t[2]/48 + (661*t[3])/384 + (89*t[4])/48 + 
       (605*t[5])/768 + (83*t[6])/192 + (69*t[7])/64 - (755*t[8])/96 + 
       (703*t[9])/256 + (229*t[10])/192 - (205*t[11])/384 + (405*t[12])/256 - 
       (931*t[13])/1728 - (217*t[14])/768 - (5743*t[15])/4608 - t[18]/24 - 
       t[22]/2 + t[23]/12 + t[24]/3 - t[25]/4 - t[27]/4 + (3*t[29])/8 - 
       t[30]/8 + (11*t[31])/24 + (9*t[34])/8 - (3*t[36])/8 - t[38]/4 - 
       t[40]/8 - (7*t[41])/48 - t[42]/48 - (3*t[43])/128 - (35*t[45])/24 - 
       (5*t[46])/16 + (25*t[47])/24 - (325*t[48])/192 + (251*t[49])/192 + 
       (187*t[50])/192 - (89*t[51])/384 - (259*t[52])/192 - (251*t[53])/192 - 
       (99*t[54])/64 + t[59]/3 + (109*t[60])/24 + (329*t[61])/192 + 
       (587*t[62])/384 + (1559*t[63])/128 - (2311*t[64])/384 - 
       (2083*t[65])/576 + (2065*t[66])/576 + t[69]/4 + t[70]/4 - t[71]/4 + 
       t[72]/2 - t[74]/2 + t[75]/4 + (13*t[76])/8 + t[77]/8 - (7*t[78])/8 - 
       (3*t[80])/16 + t[81] + (5*t[82])/4 - (5*t[83])/3 - t[84]/8 + 
       (5*t[85])/2 - (577*t[86])/96 - (41*t[87])/6 - (41*t[88])/12 - 
       (59*t[89])/16 + t[97]/4 + (21*t[98])/2 - 12*t[99] - (33*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-5*t[1])/2 + (19*t[2])/6 + (5*t[3])/2 + (49*t[4])/12 + 
       (295*t[5])/12 + (19*t[6])/8 - (59*t[7])/3 - (73*t[8])/6 - 
       (151*t[9])/6 + (37*t[10])/4 - (29*t[11])/2 - (47*t[12])/4 - 
       (5945*t[13])/432 - (103*t[14])/72 + (253*t[15])/18 + (2*t[23])/3 + 
       (2*t[24])/3 + (8*t[31])/3 + t[41]/2 + (67*t[43])/12 - (41*t[45])/6 + 
       (7*t[46])/3 - (13*t[47])/3 + (13*t[48])/12 - (37*t[49])/12 - 
       (9*t[50])/4 - (5*t[51])/24 + (9*t[52])/4 + (37*t[53])/12 + 
       (37*t[54])/12 + (4*t[59])/3 + t[60]/6 - (115*t[61])/6 + 
       (289*t[62])/4 - (119*t[63])/12 - (715*t[64])/12 - (181*t[65])/9 + 
       (404*t[66])/9 + (28*t[74])/3 - 8*t[79] + (19*t[80])/3 - (2*t[81])/3 + 
       (2*t[82])/3 - (11*t[83])/3 + (7*t[84])/6 + (11*t[85])/6 - 54*t[86] - 
       (29*t[87])/6 - (29*t[88])/12 - (31*t[89])/4 - 8*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-21*t[1])/2 - (13*t[2])/3 + (65*t[3])/6 - (17*t[4])/2 + 22*t[5] + 
       (33*t[6])/4 - (43*t[7])/3 + 4*t[8] - (85*t[9])/3 + (257*t[10])/12 + 
       (509*t[11])/12 - (11*t[12])/4 + (215*t[13])/12 + (229*t[14])/72 + 
       (5*t[15])/4 - t[26] + 4*t[31] - 4*t[32] + 4*t[33] - 7*t[34] + 
       2*t[38] - 4*t[39] + 7*t[40] - (7*t[41])/6 + (7*t[42])/6 + 
       (2*t[43])/3 + (32*t[45])/3 + (2*t[46])/3 - t[47]/3 - (5*t[48])/4 + 
       (35*t[49])/12 - (199*t[50])/12 + (13*t[51])/24 + (91*t[52])/12 - 
       (35*t[53])/12 + (5*t[54])/12 - t[58] + (74*t[60])/3 + 94*t[61] - 
       (184*t[62])/3 - (22*t[63])/3 + 17*t[64] + (302*t[65])/9 - 122*t[66] + 
       (8*t[74])/3 + 8*t[79] + (8*t[80])/3 + (20*t[81])/3 - (20*t[82])/3 - 
       (8*t[83])/3 + (4*t[84])/3 + (50*t[85])/3 + (56*t[86])/3 - 
       (58*t[87])/3 - (29*t[88])/3 - 5*t[89] - 8*t[100]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - u]*((-4*t[2])/3 + (47*t[3])/3 + 
       (221*t[4])/12 + (73*t[5])/6 + (11*t[6])/3 - (67*t[7])/2 - 
       (151*t[8])/12 - (297*t[9])/8 - (265*t[10])/24 - (137*t[11])/12 - 
       (145*t[12])/8 - (101*t[13])/54 - (719*t[14])/48 + (55*t[15])/9 + 
       t[18] + (13*t[23])/3 + (13*t[24])/3 + (13*t[31])/3 - (10*t[41])/3 + 
       (49*t[42])/6 + (45*t[43])/4 - (163*t[45])/12 + (13*t[47])/6 + 
       (2*t[48])/3 + (55*t[49])/24 - (43*t[50])/6 - (55*t[51])/48 + 
       (43*t[52])/6 - (55*t[53])/24 - (7*t[54])/4 - (43*t[59])/6 - 
       (43*t[60])/12 - (35*t[61])/6 + (643*t[62])/12 + (73*t[63])/4 - 
       (335*t[64])/12 - (259*t[65])/9 - (125*t[66])/9 + 2*t[69] - t[70] + 
       t[71] + 3*t[74] - 4*t[79] + (3*t[81])/2 - (3*t[82])/2 - (31*t[83])/6 - 
       (3*t[84])/2 + (27*t[85])/4 - (229*t[86])/6 - (49*t[87])/12 - 
       (49*t[88])/24 - (13*t[89])/8 - 8*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((-9*t[1])/8 - (5*t[2])/6 - (55*t[3])/24 + (17*t[4])/8 - (41*t[5])/8 - 
       (71*t[6])/16 + (49*t[7])/6 - t[8]/4 + (295*t[9])/24 + (101*t[10])/48 + 
       (11*t[11])/48 + (59*t[12])/16 + (83*t[13])/72 + (1813*t[14])/288 - 
       (61*t[15])/24 - t[26]/4 - t[31] + (9*t[34])/4 - t[38]/2 + t[40]/4 - 
       (7*t[41])/24 + (7*t[42])/24 - (25*t[43])/12 + (5*t[45])/3 - 
       (5*t[46])/6 - (19*t[47])/12 - (35*t[48])/16 + (155*t[49])/48 + 
       (47*t[50])/48 - (107*t[51])/96 - (59*t[52])/48 - (155*t[53])/48 - 
       (49*t[54])/48 - t[58]/4 - (3*t[59])/4 + (59*t[60])/12 + t[61]/4 - 
       (479*t[62])/24 + (331*t[63])/24 + (3*t[64])/8 - (121*t[65])/36 - 
       (49*t[66])/12 - (10*t[74])/3 + (7*t[76])/2 + t[77]/2 - 2*t[78] + 
       2*t[79] - (10*t[80])/3 + (7*t[81])/6 + (5*t[82])/6 + (4*t[83])/3 - 
       (11*t[84])/12 + (23*t[85])/12 + (44*t[86])/3 - (79*t[87])/12 - 
       (79*t[88])/24 - (31*t[89])/8 + t[97]/2 + 24*t[98] - 24*t[99] - 
       8*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
      ((61*t[1])/48 + (115*t[2])/48 - (197*t[3])/144 + (43*t[4])/288 - 
       (119*t[5])/48 - (73*t[6])/288 + (1801*t[7])/192 - (3317*t[8])/576 + 
       (7559*t[9])/576 + (473*t[10])/192 + (3107*t[11])/288 + 
       (139*t[12])/48 + (38513*t[13])/5184 + (7087*t[14])/864 - 
       (1609*t[15])/1152 + t[18]/6 + t[19]/4 - t[20]/6 + t[21]/6 - t[22]/3 - 
       t[23]/6 + (5*t[24])/12 - t[25]/3 + t[26]/6 + t[28]/4 - (5*t[29])/24 - 
       t[30]/2 - t[31]/4 - t[32]/6 + (11*t[34])/12 - (3*t[36])/8 - t[37]/4 - 
       t[38]/12 + t[39]/4 + t[40]/12 + t[41]/24 + t[42]/24 - 
       (643*t[43])/576 + t[44]/12 - (25*t[45])/48 - t[46]/2 + (17*t[47])/4 - 
       (131*t[48])/96 + (13*t[49])/18 + (487*t[50])/288 + (59*t[51])/144 - 
       (607*t[52])/288 - (13*t[53])/18 - (551*t[54])/288 + t[58]/12 - 
       (35*t[59])/144 + (1043*t[60])/144 + (4853*t[61])/144 - 
       (13721*t[62])/576 + (1631*t[63])/192 - (11051*t[64])/576 + 
       (2393*t[65])/432 - (14897*t[66])/432 - t[69]/2 + (5*t[70])/12 - 
       (5*t[71])/12 + (5*t[72])/6 - (7*t[73])/8 - (11*t[74])/12 + 
       (3*t[75])/8 + (23*t[76])/24 + (2*t[77])/3 - (11*t[78])/24 - 
       (37*t[79])/24 - (45*t[80])/8 + (13*t[81])/24 - t[82]/24 + 
       (137*t[83])/72 + (7*t[84])/48 + (3*t[85])/4 - (377*t[86])/144 - 
       (251*t[87])/72 - (251*t[88])/144 - (35*t[89])/16 + t[97]/6 + 
       (7*t[98])/2 - (5*t[99])/2 - (95*t[100])/12) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-389*t[1])/144 + (43*t[2])/144 - (1979*t[3])/288 + (175*t[4])/96 + 
       (3343*t[5])/192 + (2813*t[6])/192 - (517*t[7])/288 + (1429*t[8])/96 - 
       (4901*t[9])/576 - (2389*t[10])/288 - (1147*t[11])/288 - 
       (2537*t[12])/192 + (6307*t[13])/3456 + (8995*t[14])/1728 + 
       (7495*t[15])/1152 - t[31]/4 + (65*t[41])/144 - (65*t[42])/144 + 
       (1685*t[43])/288 - 2*t[44] - (629*t[45])/144 - (17*t[46])/9 + 
       (317*t[47])/72 + t[48]/32 + (109*t[49])/144 - (247*t[50])/288 + 
       (11*t[51])/288 + (247*t[52])/288 - (109*t[53])/144 + (83*t[54])/288 - 
       (4*t[59])/9 + (709*t[60])/144 - (143*t[61])/16 + (497*t[62])/72 - 
       (1043*t[63])/144 + (1951*t[64])/96 - (5885*t[65])/432 + 
       (2407*t[66])/144 + (73*t[74])/36 - (8*t[77])/3 - (15*t[79])/4 + 
       (853*t[80])/36 - (43*t[81])/72 + (43*t[82])/72 - (29*t[83])/18 + 
       (41*t[84])/36 - (161*t[85])/144 + (217*t[86])/9 - (119*t[87])/144 - 
       (119*t[88])/288 + (451*t[89])/96 - (47*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      ((67*t[1])/144 - t[2]/2 - (31*t[3])/24 + (129*t[4])/32 - 
       (2225*t[5])/192 - (7*t[6])/192 + (725*t[7])/192 - (73*t[8])/64 + 
       (2197*t[9])/192 - (703*t[10])/192 + (883*t[11])/192 + (547*t[12])/64 + 
       (491*t[13])/432 + (721*t[14])/288 - (2293*t[15])/576 + t[18]/2 + 
       t[19]/4 + t[20]/4 + (3*t[21])/4 - (3*t[23])/4 + t[24]/2 - t[29]/2 - 
       t[30]/4 + (13*t[31])/24 + (3*t[34])/8 + (3*t[38])/8 + t[39]/4 - 
       t[40]/8 + (9*t[41])/16 - (5*t[42])/16 - (607*t[43])/192 + t[44] - 
       (5*t[45])/8 - t[46]/8 + (11*t[47])/4 - (55*t[48])/192 - (13*t[49])/8 + 
       (17*t[50])/192 + (39*t[51])/32 - (41*t[52])/192 + (13*t[53])/8 + 
       (103*t[54])/192 + t[58]/4 - (29*t[59])/72 + (125*t[60])/32 + 
       (235*t[61])/24 - (169*t[62])/96 - (889*t[63])/96 - (749*t[64])/96 + 
       (1651*t[65])/144 - (95*t[66])/16 - t[70] + t[71] + t[72] - t[74]/2 + 
       (3*t[78])/4 - (13*t[79])/24 - (143*t[80])/24 + (31*t[81])/48 - 
       (67*t[82])/48 - (3*t[83])/4 + (21*t[84])/16 - (17*t[85])/96 - 
       (111*t[86])/16 + (53*t[87])/96 + (29*t[88])/192 + (647*t[89])/192 - 
       3*t[98] + 6*t[99] - (15*t[100])/2) + HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*((21*t[1])/32 - (421*t[2])/288 - 
       (1961*t[3])/1152 - (7*t[4])/3 - (11447*t[5])/768 - (1355*t[6])/384 + 
       (13661*t[7])/1152 - (553*t[8])/384 + (46681*t[9])/2304 - 
       (2155*t[10])/1152 + (10871*t[11])/1152 + (11399*t[12])/768 + 
       (8591*t[13])/6912 + (28345*t[14])/6912 - (34045*t[15])/4608 + 
       t[18]/3 + t[20]/6 + (5*t[21])/12 + (5*t[22])/12 - (7*t[23])/12 + 
       t[24]/2 - t[26]/48 + t[27]/12 - t[28]/4 - (7*t[29])/24 + t[30]/4 - 
       t[31]/12 + (17*t[32])/24 - (13*t[33])/24 + (169*t[34])/48 + t[35] + 
       t[36]/8 + t[37]/4 - (2*t[38])/3 + (13*t[39])/24 - (13*t[40])/8 + 
       (205*t[41])/288 - (139*t[42])/288 - (425*t[43])/144 + (5*t[44])/24 - 
       (2093*t[45])/576 + (13*t[46])/144 + (2477*t[47])/288 - (77*t[48])/64 - 
       (205*t[49])/288 + (763*t[50])/576 + (17*t[51])/288 - (295*t[52])/576 + 
       (205*t[53])/288 + (1213*t[54])/576 + t[58]/48 + (103*t[59])/96 + 
       (1613*t[60])/288 + (1671*t[61])/64 - (25717*t[62])/1152 + 
       (11597*t[63])/1152 + (433*t[64])/128 + (22915*t[65])/1728 - 
       (10135*t[66])/576 - (7*t[70])/12 + (7*t[71])/12 + t[72]/12 - t[73]/8 - 
       (19*t[74])/18 + t[75]/8 + (175*t[76])/48 + (55*t[77])/24 - 
       (41*t[78])/24 + (9*t[79])/8 - (809*t[80])/144 + (229*t[81])/144 + 
       (203*t[82])/144 + (103*t[83])/72 - (227*t[84])/288 + (587*t[85])/288 - 
       (439*t[86])/288 - (1303*t[87])/288 - (1303*t[88])/576 - 
       (229*t[89])/64 + (23*t[97])/48 + 23*t[98] - (45*t[99])/2 - 
       (173*t[100])/24) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - v]*((17*t[1])/48 + (443*t[2])/144 + (167*t[3])/288 - 
       (749*t[4])/96 + (15*t[5])/64 + (2681*t[6])/576 + (6361*t[7])/288 - 
       (425*t[8])/32 + (6989*t[9])/576 - (9593*t[10])/288 + 
       (1433*t[11])/144 - (109*t[12])/64 - (30925*t[13])/3456 + 
       (5015*t[14])/1728 - (1519*t[15])/1152 - (4*t[18])/9 - t[23] - t[24] + 
       t[31] - (71*t[41])/144 - (9*t[42])/16 + (181*t[43])/288 + 2*t[44] - 
       (34*t[45])/9 + (229*t[46])/72 + (92*t[47])/9 + t[48]/4 - 
       (185*t[49])/72 + (59*t[50])/36 - (29*t[51])/288 - (59*t[52])/36 + 
       (185*t[53])/72 + (5*t[54])/9 + (77*t[59])/36 + (1337*t[60])/144 + 
       (203*t[61])/48 - (79*t[62])/9 - (1189*t[63])/144 + (557*t[64])/32 - 
       (1759*t[65])/432 + (1237*t[66])/144 + (77*t[74])/36 - (8*t[77])/3 - 
       (15*t[79])/4 + (469*t[80])/18 + t[81]/72 - t[82]/72 - (25*t[83])/18 + 
       (61*t[84])/36 - (13*t[85])/144 + (281*t[86])/9 - (619*t[87])/144 - 
       (619*t[88])/288 + (53*t[89])/32 - (43*t[100])/6) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - v]*((-3*t[2])/2 - (89*t[3])/12 - 
       (21*t[4])/4 - (35*t[5])/6 + (11*t[6])/4 + (131*t[7])/8 - 
       (125*t[8])/24 + (395*t[9])/24 + (61*t[10])/24 + (43*t[11])/12 + 
       (31*t[12])/4 - (319*t[13])/54 + 10*t[14] - (403*t[15])/144 - 
       (2*t[18])/3 + t[21]/3 - (7*t[23])/3 - (7*t[24])/3 - (7*t[31])/3 + 
       t[35]/3 + t[37]/3 + (13*t[41])/4 - (79*t[42])/12 - (13*t[43])/8 - 
       (5*t[45])/4 + 4*t[47] - (13*t[48])/12 - (5*t[49])/3 + (53*t[50])/12 + 
       (5*t[51])/6 - (53*t[52])/12 + (5*t[53])/3 + (5*t[54])/4 + 
       (73*t[59])/12 + (25*t[60])/3 + (205*t[61])/12 - (157*t[62])/12 + 
       (47*t[63])/6 - (19*t[64])/6 + (109*t[65])/12 + (235*t[66])/12 + 
       t[67]/6 - t[69] - 3*t[74] - 6*t[79] - t[80] - t[81]/6 + t[82]/6 + 
       (7*t[83])/6 + (7*t[84])/4 - (13*t[85])/3 - (2*t[86])/3 - t[87]/6 - 
       t[88]/12 + 5*t[89] - 7*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - u]*((23*t[1])/24 + (13*t[2])/24 + (27*t[3])/16 + 
       (913*t[4])/48 + (71*t[5])/32 + (121*t[6])/12 - (213*t[7])/8 - 
       (533*t[8])/48 - (585*t[9])/32 + 9*t[10] - (547*t[11])/32 - 
       (941*t[12])/96 - (10853*t[13])/1728 - (1685*t[14])/288 + 
       (1199*t[15])/576 + t[21] - (2*t[23])/3 + t[24]/3 + (11*t[31])/12 + 
       (35*t[41])/24 - (7*t[42])/24 + (91*t[43])/24 - 2*t[44] - 
       (149*t[45])/16 - (23*t[46])/24 + (21*t[47])/8 + (5*t[48])/32 - 
       (23*t[49])/24 - (305*t[50])/96 + (19*t[51])/96 + (305*t[52])/96 + 
       (23*t[53])/24 + (169*t[54])/96 - t[59]/3 + (7*t[60])/3 - 
       (31*t[61])/4 + (191*t[62])/3 + (31*t[63])/6 - (459*t[64])/8 - 
       (26*t[65])/3 + (1315*t[66])/36 - t[69] + 6*t[74] - (16*t[79])/3 - 
       (19*t[80])/2 + t[81]/3 - t[82]/3 - (13*t[83])/6 + t[84]/4 + 
       (31*t[85])/12 - (391*t[86])/6 - (29*t[87])/12 - (29*t[88])/24 + 
       (11*t[89])/12 - (13*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((10*t[1])/3 - (23*t[2])/4 - 
       (169*t[3])/24 - (89*t[4])/6 + (495*t[5])/16 + (1501*t[6])/48 + 
       6*t[7] + (13*t[8])/12 - (1243*t[9])/48 + (5*t[10])/2 + 
       (901*t[11])/48 - (247*t[12])/16 + (223*t[13])/54 + (745*t[14])/72 + 
       (1445*t[15])/96 - t[19] - t[21]/2 + t[23]/2 + t[28] - t[30] + 
       4*t[31] + 4*t[35] + 3*t[37] + t[39] - t[40]/2 + (3*t[41])/4 - 
       (3*t[42])/4 + (259*t[43])/24 + (5*t[45])/2 + 2*t[46] - 7*t[47] + 
       (25*t[48])/16 + t[49]/6 - (289*t[50])/48 + t[51]/6 + (289*t[52])/48 - 
       t[53]/6 - (7*t[54])/48 + 2*t[59] + (505*t[60])/24 + (1177*t[61])/24 + 
       (427*t[62])/48 + (171*t[63])/16 - (773*t[64])/48 - (497*t[65])/72 - 
       (2023*t[66])/72 + (3*t[69])/2 + (3*t[72])/2 + 6*t[74] + t[77]/2 - 
       5*t[79] - 29*t[80] + (7*t[81])/2 - (7*t[82])/2 - (29*t[83])/12 + 
       (7*t[84])/8 + (123*t[85])/8 - (55*t[86])/6 - (419*t[87])/24 - 
       (419*t[88])/48 + (133*t[89])/16 - (13*t[100])/2) + 
     B5[v, u, w]*HPL[{1}, 1 - v]*(t[1]/2 - (3*t[3])/2 - (3*t[5])/4 - t[6]/2 + 
       (7*t[7])/2 + (5*t[8])/2 + (15*t[9])/4 + (3*t[10])/2 + (7*t[11])/2 - 
       t[12]/4 + (5*t[13])/12 + (31*t[14])/12 + (5*t[15])/8 - t[24] - t[31] + 
       t[48] + t[50] - t[52] + t[59]/2 + t[60] + (11*t[61])/2 - 5*t[62] + 
       t[64] + (4*t[65])/3 - (10*t[66])/3 + t[84] - t[85] + 4*t[86] - 
       6*t[100]) + B5[w, u, v]*HPL[{1}, 1 - w]*(t[2]/2 - t[3]/2 - t[5]/4 + 
       (3*t[7])/2 + (3*t[8])/2 + t[9]/4 - (3*t[10])/2 + (5*t[11])/2 + 
       t[12]/4 + (3*t[13])/2 + (5*t[14])/4 - t[15]/8 + t[41]/2 - t[42]/2 + 
       t[54] + t[59]/2 + t[60] + (11*t[61])/2 - 5*t[62] + t[64] + 
       (4*t[65])/3 - (10*t[66])/3 + t[84] - t[85] + 4*t[86] - 6*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*
      (-t[1] + (5*t[2])/2 - t[3]/6 - (95*t[4])/6 + (307*t[5])/24 + 
       (15*t[6])/2 - (8*t[7])/3 + (29*t[8])/12 - (229*t[9])/24 + 
       (95*t[10])/12 + (59*t[11])/12 - (21*t[12])/8 - (461*t[13])/216 + 
       (647*t[14])/72 + (1597*t[15])/144 + t[23]/3 + t[24]/3 + (10*t[31])/3 - 
       t[41]/6 + (5*t[42])/12 + (25*t[43])/12 + t[44] + (3*t[45])/4 + 
       (7*t[46])/3 - (9*t[47])/2 + t[48]/6 - (5*t[49])/2 - (17*t[50])/6 + 
       (17*t[52])/6 + (5*t[53])/2 + (17*t[54])/6 + (2*t[59])/3 + 
       (19*t[60])/4 + (50*t[61])/3 + (85*t[62])/6 + (23*t[63])/6 - 
       (127*t[64])/6 + (11*t[65])/12 - (347*t[66])/36 + (16*t[74])/3 - 
       2*t[79] + (22*t[80])/3 + (4*t[81])/3 - (4*t[82])/3 - 3*t[83] + 
       (7*t[84])/6 + (29*t[85])/6 - (43*t[86])/3 - (15*t[87])/2 - 
       (15*t[88])/4 - (67*t[89])/8 - 6*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*((-3*t[1])/2 + (5*t[2])/6 - 
       t[3]/2 - (199*t[4])/12 + (47*t[5])/4 + (305*t[6])/24 - (23*t[7])/12 - 
       (83*t[8])/12 - (43*t[9])/4 + (73*t[10])/12 + (5*t[11])/3 - 3*t[12] - 
       (1981*t[13])/432 + (22*t[14])/3 + (257*t[15])/24 + 4*t[31] + t[41]/6 - 
       t[42]/6 + (9*t[43])/2 + 2*t[44] + t[45]/3 + (10*t[46])/3 - 
       (20*t[47])/3 - (5*t[48])/4 - 3*t[49] - (9*t[50])/4 + (9*t[52])/4 + 
       3*t[53] + (13*t[54])/4 + t[59]/3 + (15*t[60])/2 + (127*t[61])/6 + 
       (227*t[62])/12 - (71*t[63])/12 - (185*t[64])/12 - (4*t[65])/3 - 
       (152*t[66])/9 + (16*t[74])/3 + t[80]/3 + (4*t[81])/3 - (4*t[82])/3 - 
       2*t[83] + (2*t[84])/3 + (16*t[85])/3 - (55*t[86])/3 - 7*t[87] - 
       (7*t[88])/2 - (13*t[89])/4 - 6*t[100]) + B5[w, v, u]*HPL[{1}, 1 - w]*
      ((-3*t[2])/2 + (3*t[5])/4 + t[6] - t[7]/2 + t[8]/2 - (3*t[9])/4 - 
       t[10] + t[11] - t[12]/4 + t[13]/4 + (2*t[14])/3 + (5*t[15])/8 - 
       t[27] + t[48]/2 + t[49]/2 - t[50]/2 - t[51]/4 + t[52]/2 - t[53]/2 + 
       t[54]/2 + t[59]/2 + (13*t[61])/2 - (3*t[62])/2 + (7*t[63])/2 + 
       t[64]/2 - (4*t[65])/3 - (5*t[66])/3 - t[85] - (3*t[89])/2 - 
       6*t[100]) + B5[v, w, u]*HPL[{1}, 1 - v]*(-t[1] - t[3] - t[5]/4 + 
       (3*t[7])/2 + t[8]/2 + (5*t[9])/4 - t[10] + t[11] + (11*t[12])/4 + 
       t[13]/4 + (3*t[14])/2 + (5*t[15])/8 + t[25] - t[38] - t[48]/2 - 
       t[49]/2 + t[50]/2 + t[51]/4 - t[52]/2 + t[53]/2 + t[54]/2 + t[59]/2 + 
       (13*t[61])/2 - (3*t[62])/2 + (7*t[63])/2 + t[64]/2 - (4*t[65])/3 - 
       (5*t[66])/3 - t[85] - (3*t[89])/2 - 6*t[100]) + 
     B6[w, u, v]*HPL[{1}, 1 - w]*(-t[2]/4 - t[3]/2 + (23*t[4])/4 - 
       (11*t[5])/4 - t[7]/2 - t[8]/2 + 2*t[9] + (9*t[10])/8 + (5*t[11])/4 - 
       (3*t[12])/8 + (37*t[13])/36 + (97*t[14])/48 - (29*t[15])/24 + 
       t[41]/2 - t[42]/2 - t[43] - t[46]/2 + (15*t[49])/8 - (9*t[51])/16 - 
       (15*t[53])/8 - (3*t[54])/4 + t[59]/2 + (19*t[60])/4 + (17*t[61])/4 + 
       (3*t[62])/8 + (33*t[63])/8 - (103*t[64])/8 - 2*t[65] - (19*t[66])/6 - 
       t[74] - 4*t[80] + t[81]/2 - t[82]/2 + t[84] + (3*t[85])/4 - 4*t[86] - 
       (15*t[87])/4 - (15*t[88])/8 - (5*t[89])/8 - 6*t[100]) + 
     B6[v, u, w]*HPL[{1}, 1 - v]*(t[1]/2 - (3*t[2])/4 - (3*t[3])/2 - 
       (3*t[5])/2 + t[6]/8 + (5*t[7])/2 - 4*t[8] + (13*t[9])/4 + 
       (11*t[10])/2 + (13*t[11])/8 - (11*t[13])/36 + (103*t[14])/24 + 
       (25*t[15])/24 - t[24] + t[45] - 3*t[47] - (7*t[48])/8 + (9*t[50])/8 - 
       (9*t[52])/8 - t[54]/8 + t[59]/2 + (19*t[60])/4 + (17*t[61])/4 + 
       (3*t[62])/8 + (33*t[63])/8 - (103*t[64])/8 - 2*t[65] - (19*t[66])/6 - 
       t[74] - 4*t[80] + t[81]/2 - t[82]/2 + t[84] + (3*t[85])/4 - 4*t[86] - 
       (15*t[87])/4 - (15*t[88])/8 - (5*t[89])/8 - 6*t[100]) + 
     B6[u, w, v]*HPL[{1}, 1 - v]*((3*t[2])/4 + (3*t[4])/4 - t[5]/2 + t[6]/2 + 
       t[7]/2 + (3*t[8])/2 - (11*t[9])/4 - (35*t[10])/8 + (15*t[11])/4 - 
       (5*t[12])/8 + (77*t[13])/36 + (49*t[14])/48 + t[15]/12 - t[46]/2 + 
       (3*t[49])/8 + (3*t[51])/16 - (3*t[53])/8 - (3*t[54])/4 + (3*t[60])/4 + 
       (19*t[61])/4 + (3*t[62])/8 - (7*t[63])/8 + (17*t[64])/8 - 
       (41*t[66])/6 + t[72] + t[74] - t[77] - 2*t[79] + 4*t[80] + t[81]/2 - 
       t[82]/2 + t[84] + (3*t[85])/4 + 2*t[86] - (3*t[87])/4 - (3*t[88])/8 - 
       (5*t[89])/8 - 6*t[100]) + B6[u, v, w]*HPL[{1}, 1 - w]*
      ((3*t[2])/4 - t[3] - (9*t[5])/4 + t[6]/8 + (5*t[7])/2 + 5*t[9] - 
       (9*t[10])/2 + (13*t[11])/8 - t[12]/4 + (29*t[13])/36 + (19*t[14])/8 - 
       t[15]/4 - t[20] - t[32] + t[40] - t[45] + t[47] - (3*t[48])/8 - 
       (3*t[50])/8 - (5*t[52])/8 + (3*t[54])/8 + (3*t[60])/4 + (19*t[61])/4 + 
       (3*t[62])/8 - (7*t[63])/8 + (17*t[64])/8 - (41*t[66])/6 + t[72] + 
       t[74] - t[77] - 2*t[79] + 4*t[80] + t[81]/2 - t[82]/2 + t[84] + 
       (3*t[85])/4 + 2*t[86] - (3*t[87])/4 - (3*t[88])/8 - (5*t[89])/8 - 
       6*t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - u]*
      (-t[1]/2 - (17*t[3])/4 + (17*t[4])/4 - (21*t[5])/2 + (89*t[6])/8 - 
       (57*t[7])/8 - (61*t[8])/8 + (29*t[9])/4 + (57*t[10])/8 - (7*t[11])/8 + 
       (31*t[12])/4 - (229*t[13])/36 + (97*t[14])/24 + (5*t[15])/16 + 
       3*t[31] - (5*t[43])/8 + (3*t[46])/2 - (15*t[48])/8 - (13*t[49])/4 - 
       (23*t[50])/8 + t[51]/2 + (23*t[52])/8 + (13*t[53])/4 + (19*t[54])/8 - 
       (9*t[59])/2 - (7*t[60])/4 + 2*t[61] + (147*t[62])/4 + (45*t[63])/4 - 
       (95*t[64])/4 - (49*t[65])/6 + (23*t[66])/6 + 3*t[74] + (3*t[81])/2 - 
       (3*t[82])/2 - 2*t[83] + (21*t[85])/4 - (85*t[86])/2 - t[87]/4 - 
       t[88]/8 + (45*t[89])/8 - 6*t[100]) + B6[v, w, u]*HPL[{1}, 1 - v]*
      (-t[1] - t[3] + (7*t[4])/4 + t[5]/2 - (13*t[6])/8 + (3*t[7])/2 - t[8] - 
       t[9]/2 - (19*t[10])/8 + (21*t[11])/8 + (11*t[12])/8 + (23*t[13])/12 - 
       (23*t[14])/16 + (17*t[15])/8 + t[25] - t[38] - t[46]/2 + (3*t[48])/8 + 
       (3*t[49])/8 + (11*t[50])/8 + (11*t[51])/16 - (11*t[52])/8 - 
       (3*t[53])/8 - (9*t[54])/8 + t[59]/2 + (11*t[61])/2 + t[62]/2 + 
       (7*t[63])/2 + (7*t[64])/2 - t[65]/3 + t[66]/3 - 2*t[73] + 2*t[75] - 
       2*t[76] + 2*t[78] + t[82] + t[83] - 2*t[85] + t[87] + t[88]/2 - 
       t[89]/2 - 12*t[98] + 12*t[99] - 6*t[100]) + 
     B6[w, v, u]*HPL[{1}, 1 - w]*((-3*t[2])/2 - t[3]/2 - (7*t[4])/4 + 
       (33*t[6])/8 - (7*t[7])/2 + 7*t[8] - t[9] - (5*t[10])/8 - 
       (21*t[11])/8 + (5*t[12])/8 - t[13]/4 + (35*t[14])/16 + (13*t[15])/24 - 
       t[27] - 2*t[44] - t[46]/2 + (13*t[48])/8 - (3*t[49])/8 - 
       (19*t[50])/8 + (9*t[51])/16 + (19*t[52])/8 + (3*t[53])/8 + 
       (33*t[54])/8 + t[59]/2 + (11*t[61])/2 + t[62]/2 + (7*t[63])/2 + 
       (7*t[64])/2 - t[65]/3 + t[66]/3 - 2*t[73] + 2*t[75] - 2*t[76] + 
       2*t[78] + t[82] + t[83] - 2*t[85] + t[87] + t[88]/2 - t[89]/2 - 
       12*t[98] + 12*t[99] - 6*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-t[1] + (135*t[2])/8 - (603*t[3])/16 - 
       (29*t[4])/2 - (273*t[5])/8 + (77*t[6])/8 - (129*t[7])/4 - 
       (163*t[8])/4 + (287*t[9])/8 + (23*t[10])/2 - (113*t[11])/2 - 
       (57*t[12])/4 - (4021*t[13])/72 + (781*t[14])/48 + (149*t[15])/32 - 
       t[16]/2 - t[17]/2 - 4*t[18] - 2*t[19] - 2*t[20] - 12*t[21] - 6*t[22] + 
       11*t[23] - 12*t[24] - t[25]/2 - 4*t[26] - (9*t[27])/2 - (19*t[29])/4 - 
       (5*t[30])/2 + 2*t[31] + (25*t[32])/4 - 3*t[33] + 2*t[36] + 
       (3*t[37])/2 + 2*t[38] - (7*t[39])/2 - 11*t[40] - (29*t[41])/4 + 
       (17*t[42])/4 + (105*t[43])/8 - (29*t[44])/8 - (9*t[45])/4 + 
       (9*t[46])/4 - (19*t[47])/2 - (17*t[48])/8 + (103*t[49])/8 + 
       (3*t[50])/8 - (83*t[51])/16 + (133*t[52])/8 - (51*t[53])/8 + 
       (83*t[54])/2 + t[55] - t[58]/2 - (7*t[59])/2 - (65*t[60])/2 - 
       (155*t[61])/4 + (1609*t[62])/16 + (3331*t[63])/16 - (233*t[64])/8 - 
       (4211*t[65])/24 + (373*t[66])/8 + 2*t[67] + (9*t[68])/2 - 4*t[69] + 
       9*t[70] - 9*t[71] - 22*t[72] + (17*t[74])/2 - (25*t[77])/2 + 
       (5*t[78])/2 - 15*t[80] + (7*t[81])/2 - 20*t[82] + 3*t[83] - 
       (167*t[84])/8 - (69*t[85])/8 - 44*t[86] - (113*t[87])/8 - 
       (321*t[88])/16 - (967*t[89])/16 + (3*t[92])/2 - (3*t[94])/2 + 
       3*t[95] + 3*t[96] - 24*t[98] + 54*t[99] - 6*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-55*t[1])/4 - (29*t[2])/8 + (373*t[3])/8 + (131*t[4])/2 + 
       (845*t[5])/16 - (185*t[6])/8 - (359*t[7])/8 - (913*t[8])/8 - 
       (1297*t[9])/16 + (291*t[10])/16 - (85*t[11])/8 - (87*t[12])/2 + 
       (403*t[13])/144 - (353*t[14])/12 + (155*t[15])/32 - (5*t[16])/2 - 
       t[17]/4 - 6*t[18] + t[19] + t[20] - 5*t[21] + t[22] + 5*t[23] - 
       6*t[24] + 11*t[25] - 9*t[26] - (15*t[27])/2 + (5*t[29])/2 + 9*t[30] + 
       3*t[31] - (41*t[32])/2 - 2*t[34] - (13*t[36])/2 + (11*t[37])/2 - 
       (9*t[38])/2 - (7*t[39])/2 + (25*t[40])/2 - 2*t[41] - t[42] + 
       (111*t[43])/8 - (5*t[44])/4 + (47*t[45])/4 - 12*t[46] - (77*t[47])/2 - 
       (47*t[48])/4 + (569*t[49])/16 - (23*t[50])/4 - (39*t[51])/4 - 
       (25*t[52])/4 - (653*t[53])/16 - (203*t[54])/4 - t[55] + t[58]/2 - 
       (7*t[59])/2 - (65*t[60])/2 - (155*t[61])/4 + (1609*t[62])/16 + 
       (3331*t[63])/16 - (233*t[64])/8 - (4211*t[65])/24 + (373*t[66])/8 + 
       2*t[67] + (9*t[68])/2 - 4*t[69] + 9*t[70] - 9*t[71] - 22*t[72] + 
       (17*t[74])/2 - (25*t[77])/2 + (5*t[78])/2 - 15*t[80] + (7*t[81])/2 - 
       20*t[82] + 3*t[83] - (167*t[84])/8 - (69*t[85])/8 - 44*t[86] - 
       (113*t[87])/8 - (321*t[88])/16 - (967*t[89])/16 + (3*t[92])/2 - 
       (3*t[94])/2 + 3*t[95] + 3*t[96] - 24*t[98] + 54*t[99] - 6*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u]*
      (t[1]/2 - (37*t[2])/12 - (7*t[3])/12 + (73*t[4])/6 - (55*t[5])/3 - 
       (19*t[6])/4 - t[7] - (283*t[8])/12 + (85*t[9])/8 - (121*t[10])/6 + 
       (77*t[11])/6 + 7*t[12] - (77*t[13])/54 - (65*t[14])/24 - 
       (413*t[15])/36 - (2*t[18])/3 + t[23]/3 + t[24]/3 + t[31]/3 + t[41]/6 + 
       t[42]/3 + (3*t[43])/2 + (83*t[45])/12 - (5*t[47])/6 - (25*t[48])/12 - 
       (7*t[49])/12 + (19*t[50])/12 + (7*t[51])/24 - (19*t[52])/12 + 
       (7*t[53])/12 - (11*t[54])/4 - t[59]/3 + (29*t[60])/3 + (23*t[61])/12 + 
       (317*t[62])/24 - (15*t[63])/8 + (125*t[64])/24 - (229*t[65])/36 - 
       (743*t[66])/36 - t[69] - 2*t[74] + 3*t[79] - 13*t[80] + t[81]/2 - 
       t[82]/2 - (7*t[83])/6 - t[84]/4 + t[85] - (55*t[86])/6 - 
       (23*t[87])/6 - (23*t[88])/12 + (13*t[89])/4 - 5*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((71*t[1])/24 + (19*t[2])/24 - (343*t[3])/48 + (1673*t[4])/48 - 
       (5815*t[5])/96 - (807*t[6])/32 + (515*t[7])/48 + (887*t[8])/48 + 
       (4951*t[9])/96 + (295*t[10])/48 - (935*t[11])/48 + (2281*t[12])/96 - 
       (12379*t[13])/1728 + (377*t[14])/96 - (15575*t[15])/576 + 2*t[21] - 
       2*t[23] + 4*t[28] - 2*t[30] - t[31]/6 + 2*t[39] + (11*t[41])/8 - 
       (11*t[42])/8 - (539*t[43])/48 - 2*t[44] + (37*t[45])/8 - 
       (14*t[46])/3 + (19*t[47])/4 - (83*t[48])/48 + (115*t[49])/24 - 
       (65*t[50])/16 - (19*t[51])/48 + (65*t[52])/16 - (115*t[53])/24 + 
       (247*t[54])/48 - (16*t[59])/3 - (211*t[60])/24 - (499*t[61])/24 - 
       (821*t[62])/12 - (559*t[63])/24 + (2609*t[64])/48 + (1115*t[65])/72 + 
       (625*t[66])/72 - 2*t[69] + 3*t[72] - (71*t[74])/6 + t[77] + 
       (37*t[79])/6 - (173*t[80])/6 - (5*t[81])/4 + (5*t[82])/4 + t[83]/3 - 
       (2*t[84])/3 - (59*t[85])/8 + (209*t[86])/3 + (281*t[87])/24 + 
       (281*t[88])/48 + (809*t[89])/48 - 5*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      ((13*t[1])/3 + (23*t[2])/4 + (47*t[3])/12 + 16*t[4] - (265*t[5])/24 + 
       t[6]/12 + (153*t[7])/8 + (11*t[8])/8 + (137*t[9])/6 - (57*t[10])/8 + 
       (251*t[11])/8 - (149*t[12])/24 + (5305*t[13])/432 + (479*t[14])/36 + 
       t[15]/8 - (2*t[18])/3 - (2*t[20])/3 - (2*t[21])/3 + (2*t[22])/3 + 
       (2*t[23])/3 - (10*t[24])/3 - (4*t[27])/3 - t[28] - t[29]/3 - 3*t[31] + 
       t[32]/3 - t[33] - (11*t[34])/3 - t[36] - t[37] + t[38]/3 + t[39] - 
       (13*t[41])/6 + (11*t[42])/6 - (61*t[43])/24 + (2*t[44])/3 + 
       (47*t[45])/12 + (5*t[47])/2 + (13*t[48])/8 + (4*t[49])/3 + 
       (91*t[50])/24 - t[51]/6 - (83*t[52])/24 - (4*t[53])/3 - 
       (215*t[54])/24 + t[58]/3 + (5*t[60])/6 + (181*t[61])/3 - 
       (365*t[62])/8 - (95*t[63])/8 - 19*t[64] + (22*t[65])/9 - 
       (1061*t[66])/18 - 2*t[69] - (2*t[70])/3 + (2*t[71])/3 - (4*t[72])/3 - 
       2*t[74] - t[75] - (16*t[76])/3 + (4*t[77])/3 + (10*t[78])/3 - 
       2*t[79] - (23*t[80])/3 + t[81]/6 - (61*t[82])/6 + (14*t[83])/3 + 
       (23*t[84])/12 - (17*t[85])/6 + (56*t[86])/3 + (19*t[87])/3 + 
       (19*t[88])/6 - (2*t[89])/3 - (2*t[97])/3 - 32*t[98] + 42*t[99] - 
       5*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u]*
      ((-31*t[1])/48 - 3*t[2] - (947*t[3])/288 - (751*t[4])/288 + 
       (47*t[5])/4 + (6215*t[6])/576 - (1225*t[7])/192 + (5105*t[8])/576 - 
       (295*t[9])/18 - (1405*t[10])/192 + (671*t[11])/576 - (41*t[12])/6 + 
       (8627*t[13])/2592 + t[14]/108 + (8311*t[15])/1152 + t[21] - t[23] + 
       (5*t[31])/24 + t[40]/4 + t[41]/2 - t[42]/2 + (2509*t[43])/576 - 
       (9*t[45])/8 - (5*t[46])/48 - (15*t[47])/4 + (55*t[48])/64 - 
       (53*t[49])/144 - (833*t[50])/576 + (151*t[51])/576 + (833*t[52])/576 + 
       (53*t[53])/144 + (169*t[54])/576 + (47*t[59])/144 + (377*t[60])/288 - 
       (611*t[61])/144 + (1489*t[62])/72 - (221*t[63])/48 + (355*t[64])/18 - 
       (1331*t[65])/432 - (2443*t[66])/432 - t[69] + t[72]/4 - (5*t[74])/24 - 
       t[77]/4 + t[79]/6 + (151*t[80])/24 + (5*t[81])/48 - (5*t[82])/48 - 
       (10*t[83])/9 - t[84]/8 - (25*t[85])/96 - (1183*t[86])/144 + 
       (587*t[87])/288 + (587*t[88])/576 + (911*t[89])/192 - (29*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, u, v]*((-3*t[1])/4 + (3*t[2])/4 - 
       t[3]/2 - (73*t[4])/8 + (17*t[5])/4 + (81*t[6])/16 - t[7]/4 - t[8]/2 - 
       t[9]/8 + (3*t[10])/4 + (21*t[11])/4 + t[12]/8 + (181*t[13])/96 + 
       (31*t[14])/24 + (37*t[15])/16 + t[31] + t[41]/4 - t[42]/4 + 
       (11*t[43])/8 - t[45]/4 + t[46]/2 + t[47]/2 - t[48]/8 - (9*t[49])/4 - 
       (9*t[50])/8 + (3*t[51])/4 + (9*t[52])/8 + (9*t[53])/4 + (9*t[54])/8 - 
       t[59]/2 + (5*t[60])/2 + (27*t[61])/2 + (13*t[62])/8 - (37*t[63])/8 + 
       t[64] + 6*t[65] - (109*t[66])/12 - t[69] + 2*t[74] + (11*t[80])/2 + 
       t[81] - t[82] - (3*t[83])/2 + t[84]/4 + (9*t[85])/4 - 6*t[86] - 
       (7*t[87])/4 - (7*t[88])/8 - t[89] - (9*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
      (t[1]/2 - (43*t[2])/24 + (9*t[3])/32 + (245*t[4])/32 - (171*t[5])/16 + 
       (407*t[6])/288 - (79*t[7])/16 - (477*t[8])/32 + (1051*t[9])/192 - 
       (1217*t[10])/64 + (199*t[11])/96 + (791*t[12])/192 - 
       (4759*t[13])/1728 - (8503*t[14])/1152 - (5093*t[15])/576 - 
       (7*t[18])/72 - t[20]/2 + t[23]/4 + t[24]/4 + t[31]/4 - t[32]/2 - 
       t[34]/2 + (29*t[41])/48 - (73*t[42])/144 + (287*t[43])/96 - 
       (269*t[45])/96 + (383*t[47])/48 + (7*t[48])/48 - (73*t[49])/64 - 
       (25*t[50])/48 + (73*t[51])/128 + (25*t[52])/48 + (73*t[53])/64 + 
       (77*t[54])/96 + (73*t[59])/144 + (125*t[60])/96 - (77*t[61])/16 + 
       (321*t[62])/16 - (29*t[63])/6 + (935*t[64])/48 - (391*t[65])/144 - 
       (671*t[66])/144 - t[69] + t[72]/4 - (7*t[74])/24 - t[77]/4 + t[79]/6 + 
       (151*t[80])/24 + t[81]/16 - t[82]/16 - t[83] - t[84]/8 - 
       (13*t[85])/32 - (367*t[86])/48 + (199*t[87])/96 + (199*t[88])/192 + 
       (889*t[89])/192 - (9*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((121*t[1])/72 - (205*t[2])/48 - 
       (4133*t[3])/576 - (23*t[4])/6 - (9197*t[5])/1152 - (2023*t[6])/576 + 
       (1627*t[7])/64 + (755*t[8])/64 + (35953*t[9])/1152 + (623*t[10])/192 + 
       (1657*t[11])/64 + (12353*t[12])/1152 + (124129*t[13])/10368 + 
       (82079*t[14])/3456 + (5509*t[15])/6912 + (14*t[18])/9 - t[19]/2 - 
       (13*t[20])/9 + (5*t[21])/9 - (5*t[22])/9 - (5*t[23])/9 + 
       (23*t[24])/18 + (10*t[27])/9 + (13*t[29])/36 + (5*t[30])/6 - 
       (11*t[31])/6 + (5*t[32])/9 - t[33] + (77*t[34])/9 - (17*t[36])/12 - 
       (37*t[38])/36 + t[39] - (10*t[40])/3 + (13*t[41])/18 - (7*t[42])/36 - 
       (659*t[43])/288 - (13*t[44])/18 - (877*t[45])/288 - (3*t[46])/4 + 
       (235*t[47])/48 - (49*t[48])/12 + (901*t[49])/288 + (97*t[50])/36 - 
       (793*t[51])/576 - (71*t[52])/36 - (901*t[53])/288 - (293*t[54])/144 + 
       (2*t[58])/9 + t[59]/8 + (3383*t[60])/144 + (10525*t[61])/288 - 
       (2979*t[62])/64 + (793*t[63])/192 - (851*t[64])/192 + 
       (26965*t[65])/864 - (44251*t[66])/864 - (5*t[69])/6 - (71*t[70])/18 + 
       (71*t[71])/18 + (29*t[72])/18 - (13*t[73])/12 - (7*t[74])/2 + 
       (13*t[75])/12 + (319*t[76])/36 + (107*t[77])/36 - (31*t[78])/9 + 
       (1375*t[80])/72 + (425*t[81])/72 + (121*t[82])/72 - (19*t[83])/18 + 
       (95*t[84])/72 + (1615*t[85])/144 + (2023*t[86])/144 - 
       (3451*t[87])/144 - (3595*t[88])/288 - (1091*t[89])/288 + (5*t[97])/9 + 
       (140*t[98])/3 - 44*t[99] - (9*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v]*
      ((11*t[1])/18 + (37*t[2])/36 + (1451*t[3])/144 - (55*t[4])/24 - 
       (4603*t[5])/288 - (11*t[6])/9 + t[7]/16 + (1535*t[8])/144 + 
       (1177*t[9])/96 - (3479*t[10])/48 + (4205*t[11])/144 + 
       (679*t[12])/288 + (401*t[13])/108 - (4423*t[14])/288 - 
       (9535*t[15])/576 - t[17] + (13*t[18])/27 + t[21] + (4*t[22])/9 + 
       (11*t[23])/6 + (16*t[24])/3 + (2*t[26])/9 - t[28] + t[29]/3 - 
       t[30]/3 + (7*t[31])/3 + (2*t[32])/3 - (4*t[33])/9 - (32*t[34])/9 - 
       2*t[35] + t[38] + (4*t[39])/9 - (7*t[40])/18 + (65*t[41])/36 + 
       (13*t[42])/36 + (553*t[43])/36 + (2*t[44])/3 - (655*t[45])/12 + 
       (40*t[46])/9 + (1447*t[47])/18 + (151*t[48])/36 - (50*t[49])/9 - 
       (317*t[50])/36 + (43*t[51])/24 + (95*t[52])/12 + (50*t[53])/9 + 
       (245*t[54])/36 + (2*t[58])/9 - (37*t[59])/18 - (143*t[60])/36 + 
       (2747*t[61])/36 - (21*t[62])/2 + (31*t[63])/18 + (1216*t[64])/9 - 
       (2281*t[65])/216 - (7429*t[66])/72 - t[69] - 6*t[73] + (65*t[74])/9 + 
       7*t[75] - 11*t[76] - (2*t[77])/9 + (49*t[78])/6 - 21*t[79] + 
       (938*t[80])/9 - (23*t[81])/9 + (7*t[82])/2 - (7*t[83])/6 + 
       (4*t[84])/9 - (229*t[85])/36 + (157*t[86])/18 + (781*t[87])/36 + 
       (793*t[88])/72 + (461*t[89])/24 - (13*t[97])/18 - (200*t[98])/3 + 
       (194*t[99])/3 - (25*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - w]*((35*t[1])/6 - (11*t[2])/6 - (325*t[3])/48 - 
       (427*t[4])/18 + (6145*t[5])/96 + (3061*t[6])/144 + (2291*t[7])/144 + 
       (3781*t[8])/144 - (17227*t[9])/288 - (7817*t[10])/144 + 
       (6263*t[11])/144 - (1429*t[12])/96 + (22985*t[13])/864 + 
       (8279*t[14])/864 + (1611*t[15])/64 + t[17]/2 + (5*t[22])/9 - t[24] + 
       t[26]/2 + t[28] + 3*t[31] - t[32]/3 + t[33]/3 - (41*t[34])/18 + 
       4*t[35] + (7*t[37])/9 + (4*t[38])/9 - t[39]/3 + (7*t[40])/9 + 
       t[41]/36 - t[42]/36 + (1405*t[43])/72 - 6*t[44] + (35*t[45])/9 - 
       (11*t[46])/3 - (26*t[47])/9 + (901*t[48])/72 - (61*t[49])/24 - 
       (343*t[50])/72 + (791*t[51])/144 + (499*t[52])/72 + (61*t[53])/24 + 
       (71*t[54])/24 + t[58]/2 - (37*t[59])/18 - (143*t[60])/36 + 
       (2747*t[61])/36 - (21*t[62])/2 + (31*t[63])/18 + (1216*t[64])/9 - 
       (2281*t[65])/216 - (7429*t[66])/72 - t[69] - 6*t[73] + (65*t[74])/9 + 
       7*t[75] - 11*t[76] - (2*t[77])/9 + (49*t[78])/6 - 21*t[79] + 
       (938*t[80])/9 - (23*t[81])/9 + (7*t[82])/2 - (7*t[83])/6 + 
       (4*t[84])/9 - (229*t[85])/36 + (157*t[86])/18 + (781*t[87])/36 + 
       (793*t[88])/72 + (461*t[89])/24 - (13*t[97])/18 - (200*t[98])/3 + 
       (194*t[99])/3 - (25*t[100])/6) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*(5*t[1] + (11*t[2])/6 + (53*t[3])/12 + 
       10*t[4] + 5*t[5] + (11*t[6])/2 - (259*t[7])/24 - (153*t[8])/8 - 
       (91*t[9])/6 - (655*t[10])/24 - (517*t[11])/24 - (51*t[12])/4 - 
       (135*t[13])/16 - (479*t[14])/36 + (83*t[15])/16 + t[31] + t[41]/6 - 
       t[42]/6 + (35*t[43])/24 - (55*t[45])/6 + (11*t[46])/6 + (7*t[47])/3 - 
       t[48]/8 - (8*t[49])/3 + (5*t[50])/24 - t[51]/24 - (5*t[52])/24 + 
       (8*t[53])/3 + (11*t[54])/24 + (7*t[59])/2 + t[60]/12 - 26*t[61] + 
       (389*t[62])/6 - (38*t[63])/3 - (125*t[64])/2 - (283*t[65])/18 + 
       (341*t[66])/6 + (25*t[74])/3 - 8*t[79] + (19*t[80])/3 - (7*t[81])/6 + 
       (7*t[82])/6 - (7*t[83])/3 + (7*t[84])/6 + t[85]/12 - (283*t[86])/6 - 
       (53*t[87])/12 - (53*t[88])/24 - (73*t[89])/8 - 4*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[u, v, w]*((-3*t[1])/4 + (7*t[2])/12 - 
       t[3]/3 - (39*t[4])/8 + t[5] + (85*t[6])/16 + (59*t[7])/24 + 
       (13*t[8])/8 + (17*t[9])/6 - t[10]/6 + (233*t[11])/24 + (11*t[12])/4 + 
       (1073*t[13])/288 + (679*t[14])/144 + (5*t[15])/6 + t[31] - t[41]/12 + 
       t[42]/12 + (7*t[43])/12 - (2*t[45])/3 + t[46]/3 + (10*t[47])/3 - 
       t[48]/2 - (25*t[49])/24 - (7*t[50])/6 + (13*t[51])/48 + (7*t[52])/6 + 
       (25*t[53])/24 + (7*t[54])/12 + t[59]/2 + (16*t[60])/3 + 24*t[61] - 
       (119*t[62])/12 + (25*t[63])/12 + (223*t[65])/36 - (289*t[66])/12 + 
       (4*t[74])/3 + (17*t[80])/6 + (4*t[81])/3 - (4*t[82])/3 - (4*t[83])/3 + 
       (2*t[84])/3 + (10*t[85])/3 + t[86]/3 - (14*t[87])/3 - (7*t[88])/3 - 
       2*t[89] - 4*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((3*t[1])/8 + (17*t[2])/24 + 
       t[3]/6 - (37*t[4])/16 + 2*t[5] + (75*t[6])/32 + t[7]/48 - 
       (5*t[8])/16 - (5*t[9])/12 - (17*t[10])/12 + (181*t[11])/48 - t[12]/8 - 
       (149*t[13])/576 + (725*t[14])/288 + (17*t[15])/12 + t[31]/2 + 
       t[41]/24 - t[42]/24 + (17*t[43])/24 - (23*t[45])/12 + t[46]/3 + 
       (17*t[47])/6 + t[48]/8 - (35*t[49])/48 - (13*t[50])/24 + 
       (11*t[51])/96 + (13*t[52])/24 + (35*t[53])/48 + t[54]/3 + 
       (3*t[59])/4 + (11*t[60])/6 + (25*t[61])/2 + (11*t[62])/24 + 
       (119*t[63])/24 - (17*t[64])/4 + (65*t[65])/72 - (37*t[66])/8 + 
       (4*t[74])/3 - 2*t[79] + (43*t[80])/12 + t[81]/3 - t[82]/3 - 
       (4*t[83])/3 + (2*t[84])/3 + (5*t[85])/6 - (25*t[86])/6 - 
       (13*t[87])/6 - (13*t[88])/12 - (7*t[89])/4 - 4*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      ((5*t[1])/2 + (5*t[2])/6 + (2*t[3])/3 + t[4]/4 + 3*t[5] - (13*t[6])/8 - 
       (29*t[7])/12 - (9*t[8])/4 - (11*t[9])/3 - (8*t[10])/3 - (13*t[11])/6 - 
       3*t[12] - (515*t[13])/144 + (23*t[14])/72 + 2*t[15] + t[41]/6 - 
       t[42]/6 + (5*t[43])/6 - (19*t[45])/6 + t[46]/3 + (7*t[47])/3 + 
       (3*t[48])/4 - (5*t[49])/12 + t[50]/12 - t[51]/24 - t[52]/12 + 
       (5*t[53])/12 + t[54]/12 + t[59] - (5*t[60])/3 + t[61] + (65*t[62])/6 + 
       (47*t[63])/6 - (17*t[64])/2 - (79*t[65])/18 + (89*t[66])/6 + 
       (4*t[74])/3 - 4*t[79] + (13*t[80])/3 - (2*t[81])/3 + (2*t[82])/3 - 
       (4*t[83])/3 + (2*t[84])/3 - (5*t[85])/3 - (26*t[86])/3 + t[87]/3 + 
       t[88]/6 - (3*t[89])/2 - 4*t[100]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 0, 1}, 1 - w]*(t[1]/2 - (13*t[3])/12 - (5*t[4])/3 + 
       (63*t[5])/8 + (53*t[6])/12 + (15*t[7])/4 + (23*t[8])/12 - 
       (97*t[9])/24 - (9*t[10])/2 + (83*t[11])/12 - (103*t[12])/24 + 
       (293*t[13])/216 + (28*t[14])/9 + (47*t[15])/16 + (7*t[43])/3 + 
       t[48]/2 + t[49]/12 - t[50]/6 - t[51]/24 + t[52]/6 - t[53]/12 + 
       t[54]/3 - t[59] + (17*t[60])/6 + (83*t[61])/6 - (109*t[62])/12 - 
       t[63]/4 + (131*t[64])/12 - (8*t[65])/9 - (142*t[66])/9 - t[71]/6 - 
       t[83]/3 + t[84]/2 - t[85]/2 + (20*t[86])/3 - t[87]/6 - t[88]/12 + 
       (7*t[89])/4 - 4*t[100]) + HPL[{1}, 1 - w]^2*Ot[u, v, w]*
      (-t[2]/6 + (53*t[3])/24 + (119*t[4])/24 + (17*t[5])/24 + (61*t[6])/24 - 
       (23*t[7])/4 - (175*t[8])/24 - (89*t[9])/16 - (283*t[10])/48 + 
       (19*t[11])/24 - (41*t[12])/16 - (845*t[13])/432 - (161*t[14])/96 - 
       (53*t[15])/72 + t[18]/6 + (2*t[23])/3 + (2*t[24])/3 + (2*t[31])/3 + 
       t[41]/3 + t[42]/4 + (27*t[43])/8 - (109*t[45])/24 + (43*t[47])/12 + 
       t[48]/3 + (13*t[49])/48 - (4*t[50])/3 - (13*t[51])/96 + (4*t[52])/3 - 
       (13*t[53])/48 + t[54]/8 - t[59]/4 + (41*t[60])/24 + (25*t[61])/3 + 
       (125*t[62])/12 + 8*t[63] - (61*t[64])/12 - (197*t[65])/36 - 
       (175*t[66])/36 + t[74]/2 - 2*t[79] + t[81]/4 - t[82]/4 - (4*t[83])/3 + 
       (7*t[85])/8 - (175*t[86])/12 - (13*t[87])/24 - (13*t[88])/48 + 
       (43*t[89])/16 - 4*t[100]) + HPL[{1}, 1 - v]^2*Ot[u, v, w]*
      ((5*t[1])/12 - (65*t[3])/24 - (7*t[4])/24 + (15*t[5])/8 + 
       (311*t[6])/48 - (9*t[7])/16 - (127*t[8])/48 - (31*t[9])/24 - 
       (17*t[10])/16 + (143*t[11])/48 - (3*t[12])/8 - (2*t[13])/27 + 
       (323*t[14])/72 + (253*t[15])/96 + t[31]/2 + (73*t[43])/48 + t[46]/4 + 
       t[48]/16 - (2*t[49])/3 - (29*t[50])/48 + (7*t[51])/48 + 
       (29*t[52])/48 + (2*t[53])/3 + (13*t[54])/48 - t[59]/4 + 
       (41*t[60])/24 + (25*t[61])/3 + (125*t[62])/12 + 8*t[63] - 
       (61*t[64])/12 - (197*t[65])/36 - (175*t[66])/36 + t[74]/2 - 2*t[79] + 
       t[81]/4 - t[82]/4 - (4*t[83])/3 + (7*t[85])/8 - (175*t[86])/12 - 
       (13*t[87])/24 - (13*t[88])/48 + (43*t[89])/16 - 4*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((35*t[2])/6 + (461*t[3])/24 + (731*t[4])/24 - (277*t[5])/24 - 
       (49*t[6])/8 - (59*t[7])/4 - (1267*t[8])/24 - (249*t[9])/16 - 
       (1231*t[10])/48 - (437*t[11])/24 - (217*t[12])/16 - (6917*t[13])/432 - 
       (2213*t[14])/96 - (439*t[15])/36 + (5*t[18])/6 - 2*t[20] + 
       (2*t[23])/3 + (2*t[24])/3 + (2*t[31])/3 - 2*t[32] - 2*t[34] + 
       t[41]/3 + (23*t[42])/12 + (59*t[43])/8 - (193*t[45])/24 - 
       (41*t[47])/12 + (13*t[48])/3 + (25*t[49])/48 - (16*t[50])/3 - 
       (25*t[51])/96 + (16*t[52])/3 - (25*t[53])/48 + (13*t[54])/8 - 
       (23*t[59])/12 - (187*t[60])/24 - (32*t[61])/3 + (281*t[62])/12 - 
       (133*t[64])/12 - (209*t[65])/36 + (749*t[66])/36 - 2*t[72] + 
       (5*t[74])/2 + 2*t[77] - 2*t[79] - 20*t[80] + (5*t[81])/4 - 
       (5*t[82])/4 - (4*t[83])/3 - t[84] + (27*t[85])/8 - (211*t[86])/12 + 
       (263*t[87])/24 + (263*t[88])/48 + (431*t[89])/16 - 4*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*(t[1]/12 - (545*t[3])/24 - 
       (499*t[4])/24 + (137*t[5])/8 + (1211*t[6])/48 + (43*t[7])/16 + 
       (1421*t[8])/48 - (253*t[9])/24 + (515*t[10])/16 - (517*t[11])/48 - 
       (37*t[12])/8 + (37*t[13])/27 + (1217*t[14])/72 + (2165*t[15])/96 + 
       (5*t[31])/2 - 2*t[40] + (493*t[43])/48 + 5*t[45] + (5*t[46])/4 - 
       10*t[47] + (13*t[48])/16 - (14*t[49])/3 - (185*t[50])/48 + 
       (67*t[51])/48 + (185*t[52])/48 + (14*t[53])/3 + (169*t[54])/48 - 
       (23*t[59])/12 - (187*t[60])/24 - (32*t[61])/3 + (281*t[62])/12 - 
       (133*t[64])/12 - (209*t[65])/36 + (749*t[66])/36 - 2*t[72] + 
       (5*t[74])/2 + 2*t[77] - 2*t[79] - 20*t[80] + (5*t[81])/4 - 
       (5*t[82])/4 - (4*t[83])/3 - t[84] + (27*t[85])/8 - (211*t[86])/12 + 
       (263*t[87])/24 + (263*t[88])/48 + (431*t[89])/16 - 4*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (-9*t[1] - (247*t[2])/24 - (7*t[3])/12 + (31*t[4])/4 - (97*t[5])/16 + 
       (17*t[6])/16 - (2051*t[7])/48 - (479*t[8])/16 - (97*t[9])/24 + 
       (1615*t[10])/48 + (52*t[11])/3 + (669*t[12])/16 + (653*t[13])/96 + 
       (325*t[14])/144 - (545*t[15])/48 - t[16]/2 - (3*t[17])/4 - t[18] - 
       2*t[20] - 3*t[21] + 3*t[22] + 3*t[23] + 4*t[24] + (5*t[25])/2 + 
       (7*t[27])/2 - t[29] + (7*t[30])/2 + 17*t[31] + t[32]/2 + (7*t[33])/2 - 
       (3*t[34])/2 + 5*t[35] - 3*t[36] + t[37] - 2*t[38] - (7*t[39])/2 - 
       t[40] + (23*t[41])/3 - (26*t[42])/3 + (343*t[43])/48 + t[44]/2 - 
       (61*t[45])/24 - (13*t[46])/6 + (121*t[47])/12 - (75*t[48])/4 - 
       (89*t[49])/12 - (269*t[50])/12 + (143*t[51])/24 + (251*t[52])/12 + 
       (89*t[53])/12 + (61*t[54])/12 + t[56] + 7*t[59] + (341*t[60])/24 + 
       (701*t[61])/8 + (1813*t[62])/48 + (3259*t[63])/48 - (1151*t[64])/16 - 
       (3637*t[65])/72 - (585*t[66])/8 + t[67]/2 + (5*t[68])/2 + 2*t[69] + 
       4*t[70] - 4*t[71] - 19*t[72] + (13*t[74])/3 + t[75] - (3*t[76])/2 + 
       13*t[77] + 4*t[78] + 12*t[79] + (43*t[80])/3 + (23*t[81])/6 - 
       (22*t[82])/3 + (8*t[83])/3 - (359*t[84])/24 + (317*t[85])/24 - 
       (341*t[86])/3 - (175*t[87])/24 - (151*t[88])/48 - (437*t[89])/16 - 
       t[90]/2 + t[92]/2 - 2*t[93] - t[94]/2 - t[97] - 12*t[98] + 22*t[99] - 
       4*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      ((-14*t[1])/3 + (13*t[2])/6 - t[3]/6 + (5*t[4])/4 - (29*t[5])/24 + 
       (73*t[6])/4 + (15*t[7])/8 + (595*t[8])/24 + (23*t[9])/12 + 
       (275*t[10])/12 + (77*t[11])/24 + (145*t[12])/12 + (2755*t[13])/432 + 
       (283*t[14])/48 - (41*t[15])/18 - (2*t[18])/3 + (2*t[20])/3 - 
       (2*t[21])/3 + (10*t[22])/3 + (2*t[23])/3 + (4*t[24])/3 + (4*t[25])/3 - 
       (2*t[26])/3 + t[29]/3 + (8*t[31])/3 + (5*t[32])/3 - t[33] - 
       (11*t[34])/3 - t[36] + t[38]/3 + t[39] - (4*t[40])/3 + (4*t[41])/3 - 
       (5*t[42])/3 - (91*t[43])/24 - t[44]/3 + (85*t[45])/12 - (4*t[46])/3 - 
       (3*t[47])/2 + (11*t[48])/24 + (7*t[49])/8 - (19*t[50])/8 - 
       (49*t[51])/48 + (97*t[52])/24 - (7*t[53])/8 + (35*t[54])/24 - 
       t[58]/3 + (37*t[60])/3 + (275*t[61])/6 - (163*t[62])/8 + 
       (79*t[63])/8 - (47*t[64])/4 - (53*t[65])/9 - (311*t[66])/18 + 
       2*t[69] + (10*t[70])/3 - (10*t[71])/3 - (4*t[72])/3 - 2*t[74] + 
       t[75] - (16*t[76])/3 + (4*t[77])/3 + (10*t[78])/3 + 2*t[79] - 
       (77*t[80])/3 - (5*t[81])/6 - (31*t[82])/6 - (28*t[83])/3 + 
       (35*t[84])/12 + (2*t[85])/3 - (28*t[86])/3 - (31*t[87])/6 - 
       (31*t[88])/12 + (37*t[89])/12 - (2*t[97])/3 - 32*t[98] + 34*t[99] - 
       4*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((287*t[1])/24 + (139*t[2])/36 + 
       (4727*t[3])/144 - (127*t[4])/16 + (951*t[5])/32 - (2051*t[6])/96 - 
       (743*t[7])/144 + (577*t[8])/16 - (17827*t[9])/288 - (2575*t[10])/72 - 
       (19*t[11])/18 + (335*t[12])/96 + (9491*t[13])/576 - (3913*t[14])/54 - 
       (2761*t[15])/192 + t[17]/4 + 2*t[18] + 2*t[21] + 2*t[22] - 2*t[23] + 
       t[24] + t[26] - 2*t[27] + 4*t[28] + 3*t[29] - 2*t[30] - 17*t[31] - 
       4*t[32] + 4*t[33] - 7*t[34] - 14*t[35] - 4*t[37] + 2*t[38] - 2*t[39] + 
       4*t[40] - (341*t[41])/72 + (413*t[42])/72 - (1277*t[43])/144 - 
       (15*t[44])/2 + (301*t[45])/36 + t[46]/9 + (35*t[47])/18 + 
       (257*t[48])/8 - (677*t[49])/144 + (209*t[50])/72 + (1373*t[51])/288 - 
       (425*t[52])/72 + (677*t[53])/144 + (127*t[54])/9 + 2*t[58] + 
       (2*t[59])/3 - (3331*t[60])/72 - (319*t[61])/8 - (1399*t[62])/18 - 
       (10987*t[63])/72 + (2781*t[64])/16 + (11009*t[65])/216 - 
       (1889*t[66])/72 - t[67] + 2*t[69] + t[72] + 6*t[73] - (175*t[74])/18 - 
       6*t[75] - 11*t[76] + 4*t[77] + 9*t[78] + (69*t[79])/2 - 
       (67*t[80])/18 - (305*t[81])/36 - (127*t[82])/36 - (34*t[83])/9 + 
       (115*t[84])/18 - (3739*t[85])/72 + (814*t[86])/9 + (4547*t[87])/72 + 
       (4547*t[88])/144 + (1915*t[89])/48 + t[94]/2 - 2*t[97] - 72*t[98] + 
       84*t[99] - (23*t[100])/6) + HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - w]*
      ((55*t[1])/144 - (521*t[3])/288 - (523*t[4])/288 + (7*t[5])/96 + 
       (2765*t[6])/576 - (35*t[7])/192 - (541*t[8])/576 + (67*t[9])/144 + 
       (137*t[10])/192 + (1025*t[11])/576 + (3*t[12])/32 + (17*t[13])/2592 + 
       (3685*t[14])/1728 + (511*t[15])/384 + (5*t[31])/8 + t[37]/3 + 
       (337*t[43])/576 + t[46]/8 - (25*t[48])/192 - (125*t[49])/144 - 
       (395*t[50])/576 + (49*t[51])/144 + (395*t[52])/576 + (125*t[53])/144 + 
       (355*t[54])/576 - (29*t[59])/36 + (203*t[60])/288 + (473*t[61])/72 + 
       (1741*t[62])/288 + (137*t[63])/32 - (305*t[64])/288 - 
       (299*t[65])/432 - (1507*t[66])/432 - (2*t[69])/3 + t[70]/3 - 
       (13*t[71])/48 + t[74]/4 - (19*t[79])/24 - (91*t[80])/24 + 
       (5*t[81])/16 - (5*t[82])/16 - (31*t[83])/36 + (5*t[84])/24 + 
       (85*t[85])/96 - (1297*t[86])/144 + (17*t[87])/288 + (17*t[88])/576 + 
       (461*t[89])/192 - (10*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - v]*((-7*t[1])/12 + (3*t[2])/4 - (901*t[3])/288 - 
       (31*t[4])/9 + (599*t[5])/64 + (343*t[6])/36 - (919*t[7])/96 + 
       (2147*t[8])/288 - (9391*t[9])/576 + (269*t[10])/24 - 
       (1715*t[11])/144 - (1159*t[12])/192 - (20155*t[13])/5184 + 
       (1655*t[14])/1728 + (8105*t[15])/1152 - t[18]/2 + t[19]/4 + t[20]/2 + 
       t[22] - t[24]/2 + t[29]/4 - t[30]/4 + (11*t[31])/12 + t[32]/4 - 
       (13*t[34])/8 + t[38]/8 + t[39]/4 - t[40]/8 - (7*t[41])/16 + 
       (5*t[42])/16 + (841*t[43])/288 - (3*t[44])/4 + (51*t[45])/16 + 
       (23*t[46])/48 - (47*t[47])/8 + (39*t[48])/32 - (161*t[49])/288 - 
       (665*t[50])/288 - (59*t[51])/288 + (845*t[52])/288 + (161*t[53])/288 + 
       (391*t[54])/288 - t[58]/4 - (167*t[59])/144 - (211*t[60])/36 - 
       (469*t[61])/36 + (1139*t[62])/72 + (97*t[63])/24 - (595*t[64])/72 - 
       (3221*t[65])/216 + (1127*t[66])/54 + t[70] - t[71] + (29*t[74])/24 - 
       (7*t[76])/4 - t[77]/2 + t[78]/4 - (13*t[79])/24 - (79*t[80])/6 - 
       (25*t[81])/24 + t[82]/24 - (47*t[83])/36 - (17*t[84])/16 - 
       (13*t[85])/12 - (361*t[86])/72 + (313*t[87])/72 + (295*t[88])/144 + 
       (97*t[89])/48 - 9*t[98] + 6*t[99] - (19*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((13*t[1])/6 + (13*t[2])/3 + (33*t[3])/4 - (269*t[4])/6 + 
       (397*t[5])/8 + (34*t[6])/3 + (259*t[7])/12 - (125*t[8])/12 - 
       (267*t[9])/8 - (125*t[10])/3 + (485*t[11])/12 - (179*t[12])/8 + 
       (470*t[13])/27 + (13*t[14])/24 + (351*t[15])/16 - 2*t[21] + 2*t[23] - 
       2*t[31] - t[41]/3 + t[42]/3 + (47*t[43])/4 + (5*t[45])/6 + 
       (23*t[46])/6 - (17*t[47])/3 + t[48]/2 - (35*t[49])/4 + (9*t[50])/2 + 
       (3*t[51])/2 - (9*t[52])/2 + (35*t[53])/4 - (5*t[54])/2 + 
       (31*t[59])/6 + 11*t[60] + (215*t[61])/3 - (130*t[62])/3 - 
       (25*t[63])/6 + (257*t[64])/6 + (41*t[65])/6 - (602*t[66])/9 + t[70] - 
       t[71] + (25*t[74])/3 - 3*t[79] + (43*t[80])/3 + (4*t[81])/3 - 
       (4*t[82])/3 - (3*t[83])/2 + (7*t[84])/6 + (41*t[85])/6 + 
       (131*t[86])/3 - (15*t[87])/2 - (15*t[88])/4 - 4*t[89] - 3*t[100]) + 
     B8[v, w, u]*HPL[{1}, 1 - w]*((-3*t[2])/4 - t[3]/4 + (11*t[4])/2 - 
       (31*t[5])/8 - t[6]/2 - (9*t[7])/4 - (11*t[8])/4 + (13*t[9])/8 + 
       (5*t[10])/2 - t[11]/2 + (11*t[12])/8 + (7*t[13])/36 + (43*t[14])/24 - 
       (55*t[15])/48 - t[43]/2 - t[46]/2 + (5*t[49])/4 - t[51]/4 - 
       (5*t[53])/4 - t[54] + t[59]/2 + 3*t[60] - t[61]/2 + 3*t[62] + 
       4*t[63] - (47*t[64])/4 - (55*t[65])/12 - (35*t[66])/12 + t[69] - 
       t[70] + t[71] - t[74] - 4*t[80] + t[81]/2 - t[82]/2 - t[84]/4 + 
       t[85] - 6*t[86] - (5*t[87])/2 - (5*t[88])/4 - (5*t[89])/4 - 
       3*t[100]) + B8[w, u, v]*HPL[{1}, 1 - v]*((-9*t[2])/4 + t[4] + 
       (3*t[5])/8 + (5*t[6])/4 - (5*t[7])/4 - (11*t[8])/4 - (11*t[9])/8 + 
       (19*t[10])/4 - (7*t[11])/4 + t[12]/8 + (13*t[13])/36 + (35*t[14])/24 + 
       (29*t[15])/16 + t[21] + t[31] + t[45] - 3*t[47] - (3*t[48])/2 - 
       t[50]/2 + t[52]/2 - t[54]/2 + t[59]/2 + 3*t[60] - t[61]/2 + 3*t[62] + 
       4*t[63] - (47*t[64])/4 - (55*t[65])/12 - (35*t[66])/12 + t[69] - 
       t[70] + t[71] - t[74] - 4*t[80] + t[81]/2 - t[82]/2 - t[84]/4 + 
       t[85] - 6*t[86] - (5*t[87])/2 - (5*t[88])/4 - (5*t[89])/4 - 
       3*t[100]) + B7[w, u, v]*HPL[{1}, 1 - v]*((-3*t[2])/2 + (5*t[5])/8 - 
       (7*t[6])/8 + (3*t[7])/4 + (3*t[8])/4 + t[9]/8 + (3*t[10])/4 + 
       (5*t[11])/8 + (3*t[12])/8 + t[13]/4 - (7*t[14])/12 + (9*t[15])/16 + 
       t[21] - t[48]/8 - t[50]/8 + t[52]/8 - (7*t[54])/8 + t[59]/2 + 
       t[60]/4 + (3*t[61])/4 - (31*t[62])/8 - (13*t[63])/8 + (9*t[64])/8 - 
       (11*t[65])/12 - (7*t[66])/4 + t[69] - t[70] + t[71] - t[84]/4 - 
       (3*t[85])/4 + 4*t[86] + t[87]/4 + t[88]/8 - (5*t[89])/8 - 3*t[100]) + 
     B7[v, w, u]*HPL[{1}, 1 - w]*(-t[3]/4 - t[4]/4 - (11*t[5])/8 + 
       (5*t[7])/4 + (7*t[8])/4 + (7*t[9])/8 + (7*t[10])/8 - t[11]/4 + 
       (3*t[12])/2 + t[13]/4 + (53*t[14])/48 - t[15]/16 - t[49]/8 + 
       t[51]/16 + t[53]/8 + (3*t[54])/4 + t[59]/2 + t[60]/4 + (3*t[61])/4 - 
       (31*t[62])/8 - (13*t[63])/8 + (9*t[64])/8 - (11*t[65])/12 - 
       (7*t[66])/4 + t[69] - t[70] + t[71] - t[84]/4 - (3*t[85])/4 + 
       4*t[86] + t[87]/4 + t[88]/8 - (5*t[89])/8 - 3*t[100]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - w]*(-t[2]/2 + (83*t[3])/8 + 
       (65*t[4])/8 + (29*t[5])/2 + (61*t[6])/8 - 27*t[7] - (145*t[8])/8 - 
       (513*t[9])/16 + (107*t[10])/16 - (167*t[11])/8 - (231*t[12])/16 - 
       (1073*t[13])/144 - (307*t[14])/32 + (353*t[15])/48 + t[18]/2 + 
       2*t[23] + 2*t[24] + 2*t[31] - t[41]/2 + (9*t[42])/4 + (57*t[43])/8 - 
       (97*t[45])/8 - (5*t[47])/4 + t[48] + (19*t[49])/16 - 4*t[50] - 
       (19*t[51])/32 + 4*t[52] - (19*t[53])/16 - (3*t[54])/8 - 
       (35*t[59])/12 - (25*t[60])/8 - (53*t[61])/4 + (391*t[62])/8 + 
       (159*t[63])/8 - (341*t[64])/8 - (91*t[65])/6 + (169*t[66])/6 + 
       (3*t[74])/2 - 6*t[79] + (3*t[81])/4 - (3*t[82])/4 - (5*t[83])/2 - 
       (3*t[84])/4 + (27*t[85])/8 - (187*t[86])/4 - (7*t[87])/8 - 
       (7*t[88])/16 + (51*t[89])/16 - 3*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - v]*((11*t[1])/12 - (35*t[3])/8 + 
       (89*t[4])/8 - (51*t[5])/4 + (101*t[6])/16 - (147*t[7])/16 - 
       (175*t[8])/16 + 4*t[9] + (45*t[10])/16 - (127*t[11])/16 + 
       (21*t[12])/4 - (661*t[13])/72 + (77*t[14])/24 + (15*t[15])/32 + 
       (3*t[31])/2 - (11*t[43])/16 + (3*t[46])/4 - (15*t[48])/16 - 2*t[49] - 
       (23*t[50])/16 + (7*t[51])/16 + (23*t[52])/16 + 2*t[53] + 
       (7*t[54])/16 - (35*t[59])/12 - (25*t[60])/8 - (53*t[61])/4 + 
       (391*t[62])/8 + (159*t[63])/8 - (341*t[64])/8 - (91*t[65])/6 + 
       (169*t[66])/6 + (3*t[74])/2 - 6*t[79] + (3*t[81])/4 - (3*t[82])/4 - 
       (5*t[83])/2 - (3*t[84])/4 + (27*t[85])/8 - (187*t[86])/4 - 
       (7*t[87])/8 - (7*t[88])/16 + (51*t[89])/16 - 3*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-45*t[1])/8 - (11*t[2])/4 - (43*t[3])/4 - (177*t[4])/8 - (3*t[5])/4 + 
       (189*t[6])/16 + (269*t[7])/8 + (207*t[8])/8 + (203*t[9])/8 - t[10]/8 + 
       (341*t[11])/8 + (153*t[12])/8 + (2071*t[13])/96 + (64*t[14])/3 - 
       3*t[15] - t[41]/4 + t[42]/4 + t[43] + (55*t[45])/4 - 2*t[46] - 
       (7*t[47])/2 + (5*t[49])/2 - 2*t[50] + t[51]/4 + 2*t[52] - 
       (5*t[53])/2 + t[54] - (41*t[59])/8 + (25*t[60])/4 + (111*t[61])/2 - 
       (389*t[62])/4 - (11*t[63])/4 + 102*t[64] + (205*t[65])/12 - 
       (1253*t[66])/12 - 11*t[74] + 12*t[79] - (19*t[80])/2 + (5*t[81])/2 - 
       (5*t[82])/2 + 2*t[83] - t[84] + (7*t[85])/4 + (119*t[86])/2 + 
       (25*t[87])/4 + (25*t[88])/8 + (153*t[89])/8 - 3*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((8*t[1])/9 - (61*t[2])/6 + (7427*t[3])/576 + (47*t[4])/3 - 
       (25033*t[5])/1152 - (6317*t[6])/576 - (5779*t[7])/192 - 
       (6451*t[8])/192 + (113*t[9])/1152 - (1737*t[10])/64 - 
       (3299*t[11])/64 - (23*t[12])/1152 - (354889*t[13])/10368 - 
       (140435*t[14])/3456 - (181903*t[15])/6912 - (19*t[18])/18 - 
       (19*t[20])/18 - (19*t[21])/18 + (19*t[22])/18 + (19*t[23])/18 - 
       (23*t[24])/18 - t[25] - t[26]/2 - (19*t[27])/9 - 2*t[28] - 
       (85*t[29])/36 - (31*t[30])/12 - (9*t[31])/4 - t[32]/18 - t[33] - 
       (191*t[34])/36 + 4*t[35] + (41*t[36])/12 + 2*t[37] + (55*t[38])/36 + 
       t[39] + (31*t[40])/12 - (17*t[41])/36 - t[42]/18 - (1303*t[43])/288 + 
       (17*t[44])/36 - (2273*t[45])/288 + t[46]/2 + (707*t[47])/48 + 
       (15*t[48])/2 - (1433*t[49])/144 - (53*t[50])/18 + (965*t[51])/288 + 
       (35*t[52])/36 + (1433*t[53])/144 + (739*t[54])/72 + t[58]/36 + 
       (85*t[59])/18 - (499*t[60])/18 - (14503*t[61])/288 + (6407*t[62])/64 + 
       (1849*t[63])/64 + (1297*t[64])/64 - (3247*t[65])/864 + 
       (96229*t[66])/864 + (5*t[69])/6 + (53*t[70])/18 - (53*t[71])/18 - 
       (10*t[72])/9 + (4*t[73])/3 + 4*t[74] + (2*t[75])/3 - (49*t[76])/36 - 
       (17*t[77])/36 + (7*t[78])/36 - (14*t[79])/3 - (805*t[80])/72 - 
       (223*t[81])/36 + (103*t[82])/36 - (124*t[83])/9 + (265*t[84])/72 - 
       (481*t[85])/36 - (9865*t[86])/144 + (202*t[87])/9 + (101*t[88])/9 - 
       (37*t[89])/72 - (5*t[97])/9 + (13*t[98])/3 - 6*t[99] - 3*t[100]) + 
     HPL[{0, 1}, 1 - w]*M1[v, w, u]*((-7*t[1])/12 - t[2]/4 + (151*t[3])/48 + 
       (21*t[4])/8 + (655*t[5])/96 + (179*t[6])/48 - (117*t[7])/8 + 
       (7*t[8])/4 - (1997*t[9])/96 - (31*t[10])/16 - (19*t[11])/2 - 
       (709*t[12])/96 - (689*t[13])/216 - (2135*t[14])/144 + 
       (191*t[15])/576 - t[18]/3 + (2*t[20])/3 - t[21]/3 + t[22]/3 + 
       t[23]/3 + t[24]/3 - (2*t[27])/3 - (2*t[29])/3 - t[30] + t[31] - 
       t[32]/3 + t[33] - (19*t[34])/3 + t[36] + (7*t[38])/6 - t[39] + 
       3*t[40] - (7*t[41])/12 + (5*t[42])/12 + (53*t[43])/48 + (5*t[44])/6 + 
       (43*t[45])/12 + t[46]/4 - 5*t[47] + (49*t[48])/16 - (115*t[49])/48 - 
       (101*t[50])/48 + (169*t[51])/96 - (11*t[52])/48 + (115*t[53])/48 + 
       (19*t[54])/48 + t[58]/6 - t[59]/2 - (47*t[60])/6 - (443*t[61])/24 + 
       (451*t[62])/16 - (331*t[63])/16 + (103*t[64])/16 - (731*t[65])/72 + 
       (1511*t[66])/72 + t[69] + (5*t[70])/3 - (5*t[71])/3 - (2*t[72])/3 + 
       2*t[73] + 2*t[74] - 2*t[75] - (31*t[76])/6 - (7*t[77])/3 + 
       (8*t[78])/3 - (59*t[80])/6 - (19*t[81])/6 - (7*t[82])/3 + t[83]/3 + 
       (7*t[84])/12 - (89*t[85])/12 - (89*t[86])/12 + (179*t[87])/12 + 
       (191*t[88])/24 + (95*t[89])/12 - t[97]/3 - 28*t[98] + 30*t[99] - 
       3*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-19*t[1])/6 - (59*t[2])/8 - (17*t[3])/6 - (505*t[4])/24 + 16*t[5] + 
       (457*t[6])/24 - 26*t[7] - (107*t[8])/24 - (739*t[9])/24 + 
       (675*t[10])/16 - (359*t[11])/24 + (107*t[12])/16 - (5075*t[13])/432 + 
       (767*t[14])/288 + (157*t[15])/8 - (7*t[17])/4 + t[21] - t[23] + 
       t[24] + 2*t[25] + t[31] + t[35] + t[37] - 2*t[38] - (3*t[41])/4 + 
       (3*t[42])/4 + (31*t[43])/12 + (7*t[45])/2 - (3*t[46])/4 - 
       (35*t[47])/2 - 2*t[48] - (335*t[49])/48 + (23*t[50])/6 + 
       (293*t[51])/96 - (23*t[52])/6 + (335*t[53])/48 - (73*t[54])/24 + 
       (73*t[59])/12 + (299*t[60])/24 - (733*t[61])/24 + (3701*t[62])/48 + 
       (613*t[63])/16 - (3439*t[64])/48 + (94*t[65])/9 + (854*t[66])/9 - 
       t[67]/4 - 2*t[69] - t[70] + t[71] + 2*t[72] + (15*t[74])/2 - 2*t[77] - 
       12*t[79] + 2*t[80] + (9*t[81])/4 - (9*t[82])/4 - (16*t[83])/3 + 
       t[84] + (19*t[85])/8 - (214*t[86])/3 - (145*t[87])/24 - 
       (145*t[88])/48 - (107*t[89])/16 - (5*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      (-t[1]/4 + (29*t[2])/24 + (53*t[3])/48 - (81*t[4])/16 + (93*t[5])/16 + 
       (163*t[6])/96 - (221*t[7])/48 - (43*t[8])/8 - (607*t[9])/96 + 
       (11*t[10])/6 - (131*t[11])/48 - (29*t[12])/8 - (2089*t[13])/576 + 
       (119*t[14])/72 + (479*t[15])/96 + t[18]/12 - t[21]/2 + (3*t[23])/4 + 
       t[24]/4 + (5*t[31])/4 - (5*t[41])/24 + (5*t[42])/12 + (67*t[43])/48 + 
       t[44]/2 + (19*t[45])/48 + (13*t[46])/12 - (97*t[47])/24 + 
       (9*t[48])/16 - (11*t[49])/12 - (29*t[50])/48 - (5*t[51])/48 + 
       (29*t[52])/48 + (11*t[53])/12 + (49*t[54])/48 + (19*t[59])/24 - 
       (2*t[60])/3 - (83*t[61])/16 + (1829*t[62])/96 + (491*t[63])/96 - 
       (447*t[64])/32 - (821*t[65])/144 + (401*t[66])/48 + t[69]/4 + 
       (31*t[74])/12 - 2*t[79] + (37*t[80])/12 - t[81]/24 + t[82]/24 - 
       (35*t[83])/24 + (29*t[84])/48 + (5*t[85])/6 - (253*t[86])/24 - 
       (49*t[87])/24 - (49*t[88])/48 - (61*t[89])/16 - (5*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*
      ((3*t[1])/8 + (19*t[2])/48 + (73*t[3])/96 + (5*t[4])/6 + 
       (327*t[5])/64 + (133*t[6])/96 - (341*t[7])/48 - (97*t[8])/16 - 
       (1877*t[9])/192 + (19*t[10])/3 - (637*t[11])/96 - (1141*t[12])/192 - 
       (827*t[13])/192 + (89*t[14])/192 + (1915*t[15])/384 - t[18]/6 + 
       (3*t[22])/16 + t[31]/2 + (3*t[34])/16 + (5*t[41])/48 - t[42]/12 + 
       (155*t[43])/96 + t[45]/48 + (7*t[46])/12 - (65*t[47])/12 - 
       (3*t[48])/16 - (19*t[49])/24 + (7*t[50])/48 - t[51]/24 - 
       (7*t[52])/48 + (19*t[53])/24 + (13*t[54])/48 + (9*t[59])/16 + 
       (43*t[60])/24 - (123*t[61])/16 + (1175*t[62])/48 + (19*t[63])/3 - 
       (439*t[64])/16 - (973*t[65])/144 + (2513*t[66])/144 + (11*t[74])/6 - 
       (5*t[79])/2 - (49*t[80])/6 - t[81]/6 + t[82]/6 - (5*t[83])/6 + 
       (5*t[84])/12 + t[85]/3 - (263*t[86])/12 - (13*t[87])/6 - 
       (13*t[88])/12 - (31*t[89])/16 - (5*t[100])/2) + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-7*t[1])/48 + (11*t[2])/24 + (43*t[3])/96 + (89*t[4])/16 - 
       (159*t[5])/64 + (27*t[6])/16 - (43*t[7])/6 - (105*t[8])/16 - 
       (515*t[9])/192 + (187*t[10])/48 - (745*t[11])/96 - (379*t[12])/192 - 
       (1141*t[13])/288 - (121*t[14])/192 + (157*t[15])/384 + t[31]/2 + 
       t[41]/24 - t[42]/24 - (55*t[43])/96 - (55*t[45])/24 + t[46]/3 + 
       (7*t[47])/12 - t[48]/16 - (5*t[49])/12 - (11*t[50])/48 - t[51]/24 + 
       (11*t[52])/48 + (5*t[53])/12 + (19*t[54])/48 + (9*t[59])/16 + 
       (43*t[60])/24 - (123*t[61])/16 + (1175*t[62])/48 + (19*t[63])/3 - 
       (439*t[64])/16 - (973*t[65])/144 + (2513*t[66])/144 + (11*t[74])/6 - 
       (5*t[79])/2 - (49*t[80])/6 - t[81]/6 + t[82]/6 - (5*t[83])/6 + 
       (5*t[84])/12 + t[85]/3 - (263*t[86])/12 - (13*t[87])/6 - 
       (13*t[88])/12 - (31*t[89])/16 - (5*t[100])/2) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - u]*(t[2]/6 + (173*t[3])/96 + 
       (335*t[4])/96 + (41*t[5])/96 + (485*t[6])/288 - (61*t[7])/16 - 
       (139*t[8])/96 - (563*t[9])/192 - (1147*t[10])/192 + (101*t[11])/96 - 
       (343*t[12])/192 + (37*t[13])/576 - (817*t[14])/384 - (27*t[15])/32 + 
       (17*t[18])/72 + (5*t[23])/12 + (5*t[24])/12 + (5*t[31])/12 - 
       (5*t[41])/16 + (167*t[42])/144 + (185*t[43])/96 - (107*t[45])/32 + 
       (57*t[47])/16 + (29*t[48])/48 + (85*t[49])/192 - (59*t[50])/48 - 
       (85*t[51])/384 + (59*t[52])/48 - (85*t[53])/192 - (7*t[54])/96 - 
       (167*t[59])/144 - (11*t[60])/96 + (199*t[61])/48 + (77*t[62])/16 + 
       (17*t[63])/12 + (169*t[64])/48 - (455*t[65])/144 - (281*t[66])/48 + 
       (17*t[74])/24 - t[79]/3 + (91*t[80])/24 + (5*t[81])/16 - 
       (5*t[82])/16 - (5*t[83])/6 + (35*t[85])/32 - (167*t[86])/48 - 
       (3*t[87])/32 - (3*t[88])/64 + (241*t[89])/192 - (5*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((335*t[1])/24 + (7*t[2])/4 + (607*t[3])/64 - (5533*t[4])/48 + 
       (5987*t[5])/128 - (2321*t[6])/96 - (1853*t[7])/96 + (1153*t[8])/48 - 
       (39059*t[9])/384 + (1827*t[10])/32 - (4705*t[11])/64 - 
       (6343*t[12])/128 - (19217*t[13])/192 - (19955*t[14])/1152 + 
       (249743*t[15])/6912 - (5*t[18])/2 + t[19]/3 + t[20]/2 - (23*t[21])/6 + 
       (109*t[22])/6 + (25*t[23])/6 - (20*t[24])/3 - (43*t[25])/6 + 
       (3*t[26])/2 + (35*t[27])/6 - 13*t[28] - (19*t[29])/3 + (25*t[30])/12 - 
       (11*t[31])/12 + (10*t[32])/3 - (11*t[33])/3 - (145*t[34])/6 + t[35] + 
       (31*t[36])/3 - (16*t[37])/3 + (133*t[38])/12 + (7*t[39])/6 + 
       (65*t[40])/6 - t[41]/6 - (25*t[42])/12 + (2815*t[43])/192 + 
       (163*t[44])/12 + (311*t[45])/12 + (65*t[46])/8 - 56*t[47] - 
       (5*t[48])/2 - (113*t[49])/96 - (17*t[50])/6 - (383*t[51])/64 - 
       t[52]/3 + (1169*t[53])/96 + (171*t[54])/16 + t[55]/3 + t[56]/6 + 
       (2*t[57])/3 - (19*t[58])/12 - (35*t[59])/24 - (8677*t[60])/48 - 
       (8047*t[61])/96 + (15905*t[62])/192 + (13711*t[63])/192 + 
       (6367*t[64])/192 - (14903*t[65])/288 + (51077*t[66])/288 - 
       (7*t[68])/6 - (4*t[69])/3 + (5*t[70])/2 - (5*t[71])/2 + t[72]/3 + 
       (19*t[73])/12 + t[74]/2 - (151*t[75])/12 - (56*t[76])/3 + 
       (7*t[77])/12 - (35*t[78])/2 + 10*t[79] - (85*t[80])/24 - 
       (141*t[81])/8 + (53*t[82])/8 + (395*t[83])/12 - (1001*t[84])/24 - 
       (2071*t[85])/48 + (1567*t[86])/48 + (5723*t[87])/48 + 
       (4331*t[88])/96 - (5267*t[89])/96 - t[90]/6 + (20*t[95])/3 + 
       (22*t[96])/3 - (2*t[97])/3 - 88*t[98] + 105*t[99] - (5*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
      ((-55*t[1])/48 + (143*t[2])/144 - (1369*t[3])/288 - (119*t[4])/32 - 
       (955*t[5])/192 - (869*t[6])/192 + (1825*t[7])/288 + (1453*t[8])/96 + 
       (8837*t[9])/576 - (1145*t[10])/288 + (3029*t[11])/144 + 
       (1505*t[12])/192 + (27371*t[13])/3456 + (18863*t[14])/1728 - 
       (4663*t[15])/1152 - t[18]/2 - 3*t[21] + t[23] + t[24] - 2*t[31] - 
       (4*t[35])/3 + (169*t[41])/144 - (73*t[42])/144 - (59*t[43])/288 - 
       (16*t[45])/9 - (71*t[46])/72 + (145*t[47])/18 + (25*t[48])/12 + 
       (253*t[49])/72 + (41*t[50])/36 - (221*t[51])/288 - (41*t[52])/36 - 
       (253*t[53])/72 - (23*t[54])/18 + t[59]/4 + (377*t[60])/144 + 
       (1531*t[61])/48 - (2159*t[62])/72 + (233*t[63])/144 + 
       (2239*t[64])/96 + (341*t[65])/432 - (6383*t[66])/144 + (2*t[69])/3 + 
       (2*t[70])/3 - (5*t[71])/6 + (5*t[74])/36 + (8*t[77])/3 - 
       (13*t[79])/12 + (140*t[80])/9 + (25*t[81])/72 - (25*t[82])/72 - 
       t[83]/18 + (13*t[84])/36 + (107*t[85])/144 + (128*t[86])/9 - 
       (451*t[87])/144 - (451*t[88])/288 - (195*t[89])/32 - (13*t[100])/6) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((7*t[1])/12 + (15*t[2])/32 + (91*t[3])/32 - (349*t[4])/32 + 
       (1001*t[5])/96 - (35*t[6])/96 - (77*t[7])/96 - (131*t[8])/24 - 
       (2255*t[9])/192 - (335*t[10])/192 - (77*t[11])/96 - (907*t[12])/192 - 
       (1801*t[13])/576 - (73*t[14])/1152 + (3917*t[15])/576 + t[18]/12 + 
       t[23]/6 + t[24]/6 + (7*t[31])/6 - (13*t[41])/48 + (5*t[42])/8 + 
       (293*t[43])/96 + (3*t[44])/2 - (27*t[45])/32 + (13*t[46])/6 - 
       (67*t[47])/16 + (25*t[48])/48 - (241*t[49])/192 - (5*t[50])/16 - 
       (95*t[51])/384 + (5*t[52])/16 + (241*t[53])/192 + (47*t[54])/96 + 
       t[59]/4 + (67*t[60])/96 + (19*t[61])/4 + (241*t[62])/32 - 
       (29*t[63])/96 - (165*t[64])/32 - (9*t[65])/16 + (47*t[66])/144 + 
       (23*t[74])/12 - (7*t[79])/8 + (67*t[80])/24 + (5*t[81])/48 - 
       (5*t[82])/48 - (2*t[83])/3 + t[84]/3 + (67*t[85])/96 - 
       (337*t[86])/48 - (83*t[87])/96 - (83*t[88])/192 - (51*t[89])/64 - 
       2*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - u]*
      ((2*t[2])/3 + t[3]/6 + (13*t[4])/6 - (37*t[5])/12 - (19*t[6])/12 + 
       (5*t[7])/2 + (19*t[8])/6 + (13*t[9])/4 - (89*t[10])/12 + 
       (61*t[11])/12 + t[12] + (29*t[13])/27 + (23*t[14])/72 - 
       (151*t[15])/72 + t[23]/3 + t[24]/3 + t[31]/3 - t[41]/3 + (2*t[42])/3 + 
       t[43] - t[45]/3 + (8*t[47])/3 - t[48]/12 - t[49]/12 - (5*t[50])/12 + 
       t[51]/24 + (5*t[52])/12 + t[53]/12 + t[54]/4 - (2*t[59])/3 + 
       (2*t[60])/3 + (17*t[61])/3 - 5*t[62] - t[63] + (34*t[64])/3 - 
       (17*t[65])/9 - (119*t[66])/9 - (2*t[83])/3 + (22*t[86])/3 - t[87]/3 - 
       t[88]/6 - t[89]/2 - 2*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      Omega2[w, u, v]*((5*t[1])/2 + (2*t[2])/3 + (8*t[3])/3 + (191*t[4])/12 + 
       (91*t[5])/24 - (9*t[6])/8 - 17*t[7] - (175*t[8])/12 - (133*t[9])/8 - 
       (20*t[10])/3 - (233*t[11])/12 - (105*t[12])/8 - (4015*t[13])/432 - 
       (125*t[14])/12 + (283*t[15])/144 + t[23]/3 + t[24]/3 - (2*t[31])/3 + 
       (2*t[41])/3 - (5*t[42])/12 + (7*t[43])/2 - t[44] - (91*t[45])/12 + 
       t[47]/6 + (11*t[48])/12 - (7*t[49])/12 + (7*t[50])/12 - (5*t[51])/24 - 
       (7*t[52])/12 + (7*t[53])/12 + t[54]/4 + (2*t[59])/3 - (55*t[60])/12 - 
       (191*t[61])/6 + (721*t[62])/12 + (17*t[63])/4 - (437*t[64])/12 - 
       (757*t[65])/36 + (1771*t[66])/36 + 4*t[74] - 6*t[79] - t[80] - 
       2*t[81] + 2*t[82] - (2*t[83])/3 - 3*t[85] - (119*t[86])/3 + 
       (8*t[87])/3 + (4*t[88])/3 + (5*t[89])/8 - 2*t[100]) + 
     HPL[{1}, 1 - v]^3*Omega2[v, w, u]*(-t[1]/3 + t[3]/12 - (73*t[4])/12 + 
       (13*t[5])/2 + (25*t[6])/12 + (31*t[7])/8 + (89*t[8])/24 - 
       (47*t[9])/24 - (13*t[10])/8 + (73*t[11])/12 - (23*t[12])/12 + 
       (169*t[13])/54 + (25*t[14])/18 + (23*t[15])/16 + (31*t[43])/24 + 
       t[48]/4 + t[49]/6 - t[50]/12 - t[51]/12 + t[52]/12 - t[53]/6 + 
       (5*t[54])/12 - t[59]/6 + (13*t[60])/6 + (149*t[61])/12 - 
       (121*t[62])/8 - (39*t[63])/8 + (419*t[64])/24 + (37*t[65])/9 - 
       (319*t[66])/18 + 2*t[79] + t[83]/3 + t[84]/2 - t[85]/2 + 
       (71*t[86])/6 + t[87]/6 + t[88]/12 + (3*t[89])/4 - 2*t[100]) + 
     HPL[{1}, 1 - v]^3*Omega2[w, u, v]*(t[1]/3 - (17*t[3])/12 - t[4]/12 + 
       (3*t[5])/2 + (31*t[6])/12 + t[7]/8 - (25*t[8])/24 - (41*t[9])/24 - 
       (17*t[10])/8 + (13*t[11])/12 - (5*t[12])/6 - (23*t[13])/54 + 
       (157*t[14])/72 + (79*t[15])/48 + (25*t[43])/24 + t[48]/4 - t[49]/12 - 
       t[50]/12 + t[51]/24 + t[52]/12 + t[53]/12 - t[54]/12 - t[59]/6 + 
       (2*t[60])/3 + (29*t[61])/12 + (121*t[62])/24 + (37*t[63])/8 - 
       (61*t[64])/24 - (7*t[65])/2 - (10*t[66])/9 - 2*t[79] - (2*t[83])/3 - 
       (31*t[86])/6 - t[87]/3 - t[88]/6 + t[89] - 2*t[100]) + 
     HPL[{1}, 1 - w]^3*Omega2[u, v, w]*(t[2]/6 + (17*t[3])/12 + (13*t[4])/6 + 
       (5*t[5])/12 + (5*t[6])/6 - (3*t[7])/2 - (43*t[8])/12 - (9*t[9])/4 - 
       (19*t[10])/6 - (11*t[11])/12 - (3*t[12])/2 - (341*t[13])/216 - 
       (59*t[14])/72 - (2*t[15])/9 + t[23]/3 + t[24]/3 + t[31]/3 + t[41]/6 + 
       t[42]/6 + 2*t[43] - (37*t[45])/12 + (13*t[47])/6 - t[48]/12 - 
       t[49]/12 - (5*t[50])/12 + t[51]/24 + (5*t[52])/12 + t[53]/12 + 
       t[54]/4 - t[59]/6 + (2*t[60])/3 + (29*t[61])/12 + (121*t[62])/24 + 
       (37*t[63])/8 - (61*t[64])/24 - (7*t[65])/2 - (10*t[66])/9 - 2*t[79] - 
       (2*t[83])/3 - (31*t[86])/6 - t[87]/3 - t[88]/6 + t[89] - 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[v, w, u]*
      (t[1]/2 - (17*t[3])/12 - t[4]/12 + (3*t[5])/2 + (31*t[6])/12 + t[7]/8 - 
       (25*t[8])/24 - (41*t[9])/24 - (17*t[10])/8 + (13*t[11])/12 - t[12] - 
       (7*t[13])/27 + (157*t[14])/72 + (79*t[15])/48 + (25*t[43])/24 + 
       t[48]/4 - t[49]/12 - t[50]/12 + t[51]/24 + t[52]/12 + t[53]/12 - 
       t[54]/12 - t[59]/6 + (2*t[60])/3 + (35*t[61])/12 + (125*t[62])/24 + 
       (37*t[63])/8 - (73*t[64])/24 - (59*t[65])/18 + t[66]/9 - 2*t[79] - 
       (2*t[83])/3 - (31*t[86])/6 - t[87]/3 - t[88]/6 + t[89] - 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*
      (t[2]/6 + (17*t[3])/12 + (13*t[4])/6 + (5*t[5])/12 + (2*t[6])/3 - 
       (3*t[7])/2 - (49*t[8])/12 - (9*t[9])/4 - (19*t[10])/6 - 
       (11*t[11])/12 - (3*t[12])/2 - (383*t[13])/216 - (25*t[14])/24 - 
       (2*t[15])/9 + t[23]/3 + t[24]/3 + t[31]/3 + t[41]/6 + t[42]/6 + 
       2*t[43] - (37*t[45])/12 + (13*t[47])/6 - t[48]/12 - t[49]/12 - 
       (5*t[50])/12 + t[51]/24 + (5*t[52])/12 + t[53]/12 + t[54]/4 - 
       t[59]/6 + (2*t[60])/3 + (35*t[61])/12 + (125*t[62])/24 + 
       (37*t[63])/8 - (73*t[64])/24 - (59*t[65])/18 + t[66]/9 - 2*t[79] - 
       (2*t[83])/3 - (31*t[86])/6 - t[87]/3 - t[88]/6 + t[89] - 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      ((11*t[2])/12 + (167*t[3])/48 + (17*t[4])/3 - (125*t[5])/96 + 
       (3*t[6])/16 - (7*t[7])/2 - (97*t[8])/12 - (117*t[9])/32 - 
       (71*t[10])/12 - (107*t[11])/48 - (89*t[12])/32 - (2363*t[13])/864 - 
       (373*t[14])/96 - (1025*t[15])/576 + t[18]/6 - t[20]/4 + t[23]/3 + 
       t[24]/3 + t[31]/3 - t[32]/4 - t[34]/4 - t[41]/12 + t[42]/3 + 
       (35*t[43])/16 - (65*t[45])/24 + (11*t[47])/12 + (2*t[48])/3 + 
       t[49]/6 - (7*t[50])/6 - t[51]/12 + (7*t[52])/6 - t[53]/6 + t[54]/4 - 
       t[59]/3 - (5*t[60])/6 + (19*t[61])/24 + (73*t[62])/12 + 2*t[63] - 
       (37*t[64])/24 - (25*t[65])/9 + (23*t[66])/18 - t[72]/4 + t[74]/2 + 
       t[77]/4 - t[79] - (5*t[80])/2 + t[81]/4 - t[82]/4 - (2*t[83])/3 - 
       t[84]/8 + (3*t[85])/4 - (14*t[86])/3 + (7*t[87])/6 + (7*t[88])/12 + 
       (31*t[89])/8 - 2*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]^2*(t[1]/6 - (173*t[3])/48 - (77*t[4])/24 + 
       (87*t[5])/32 + (16*t[6])/3 + t[7]/8 + (77*t[8])/24 - (185*t[9])/96 + 
       (25*t[10])/8 - (23*t[11])/48 - (19*t[12])/32 + t[13]/54 + 
       (961*t[14])/288 + (703*t[15])/192 + t[31]/2 - t[40]/4 + 
       (89*t[43])/48 + (5*t[45])/8 + t[46]/4 - (5*t[47])/4 + t[48]/8 - 
       (5*t[49])/6 - (17*t[50])/24 + (11*t[51])/48 + (17*t[52])/24 + 
       (5*t[53])/6 + (13*t[54])/24 - t[59]/3 - (5*t[60])/6 + (19*t[61])/24 + 
       (73*t[62])/12 + 2*t[63] - (37*t[64])/24 - (25*t[65])/9 + 
       (23*t[66])/18 - t[72]/4 + t[74]/2 + t[77]/4 - t[79] - (5*t[80])/2 + 
       t[81]/4 - t[82]/4 - (2*t[83])/3 - t[84]/8 + (3*t[85])/4 - 
       (14*t[86])/3 + (7*t[87])/6 + (7*t[88])/12 + (31*t[89])/8 - 2*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-31*t[1])/6 + (6667*t[2])/288 - (10631*t[3])/288 - (16277*t[4])/288 + 
       (5567*t[5])/144 + (3571*t[6])/72 - (2999*t[7])/96 + (22913*t[8])/144 - 
       (2537*t[9])/192 - (19433*t[10])/576 - (1639*t[11])/72 - 
       (1373*t[12])/192 + (207761*t[13])/5184 + (6389*t[14])/384 + 
       (13709*t[15])/864 + (55*t[18])/36 + (5*t[19])/2 + (13*t[21])/4 - 
       t[22] - (143*t[23])/36 + (83*t[24])/18 + (7*t[25])/3 - (7*t[26])/3 - 
       (10*t[27])/3 + (5*t[28])/2 + (271*t[29])/24 - (47*t[30])/6 + 
       (28*t[31])/9 + t[32] + (59*t[33])/6 + (17*t[34])/3 - t[35] + t[36] + 
       t[37]/6 - (4*t[38])/3 - (33*t[39])/4 + 6*t[40] + (167*t[41])/144 - 
       (137*t[42])/72 - (167*t[43])/96 - (187*t[44])/12 - (4211*t[45])/288 - 
       (41*t[46])/6 + (5501*t[47])/144 + (6751*t[48])/288 + 
       (1613*t[49])/576 - (9397*t[50])/288 + (7315*t[51])/1152 + 
       (9013*t[52])/288 - (4013*t[53])/576 + (117*t[54])/2 - t[58]/3 - 
       (31*t[59])/18 + (10531*t[60])/288 + (8099*t[61])/144 - 
       (5621*t[62])/144 - (271*t[63])/4 + (3895*t[64])/36 + 
       (10025*t[65])/108 - (22063*t[66])/216 - 2*t[68] + (5*t[69])/4 + 
       (5*t[72])/4 + (7*t[73])/2 + (11*t[74])/4 + t[75]/2 - (23*t[76])/6 - 
       (59*t[77])/12 - (5*t[78])/6 - (217*t[79])/24 + (737*t[80])/8 + 
       (209*t[81])/48 + (29*t[82])/16 - (565*t[83])/72 + (1105*t[84])/48 + 
       (3077*t[85])/96 + (8209*t[86])/144 - (2123*t[87])/288 + 
       (1669*t[88])/576 + (4697*t[89])/192 - (16*t[95])/3 - 8*t[96] - 
       (5*t[97])/3 + 4*t[99] - (23*t[100])/12) + HPL[{1}, 1 - w]^4*
      HPL[{0, 0, 1}, 1 - v]*((157*t[2])/288 + (55*t[3])/288 + 
       (355*t[4])/288 - (101*t[5])/288 + (133*t[6])/96 - (193*t[7])/96 - 
       (125*t[8])/72 - (109*t[9])/64 - (65*t[10])/576 - (7*t[11])/288 - 
       (59*t[12])/192 - (5941*t[13])/5184 + (11*t[14])/128 - 
       (881*t[15])/1728 - (5*t[18])/24 - (5*t[23])/36 - (5*t[24])/36 - 
       (5*t[31])/36 + t[35]/3 + (35*t[41])/144 - (31*t[42])/72 + 
       (25*t[43])/32 - (107*t[45])/288 - (43*t[47])/144 + (65*t[48])/144 + 
       (65*t[49])/576 - (35*t[50])/144 - (65*t[51])/1152 + (35*t[52])/144 - 
       (65*t[53])/576 + (5*t[54])/32 + (7*t[59])/72 + (193*t[60])/288 + 
       (67*t[61])/18 + (851*t[62])/288 + (301*t[63])/96 - (655*t[64])/288 + 
       (491*t[65])/432 + (643*t[66])/432 - (2*t[69])/3 + t[70]/3 - 
       (13*t[71])/48 - t[74]/6 - (19*t[79])/24 - (91*t[80])/24 + 
       (5*t[81])/48 - (5*t[82])/48 - (11*t[83])/36 + (5*t[84])/24 + 
       (5*t[85])/32 - (887*t[86])/144 + (67*t[87])/288 + (67*t[88])/576 + 
       (117*t[89])/64 - (5*t[100])/3) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - u]^2*((-7*t[1])/24 + t[3]/16 - (79*t[4])/16 + 
       (29*t[5])/8 + (59*t[6])/32 + (77*t[7])/32 + (81*t[8])/32 - 
       (7*t[9])/16 - (17*t[10])/32 + (135*t[11])/32 - (43*t[12])/48 + 
       (121*t[13])/48 + (9*t[14])/32 + (51*t[15])/64 + t[31]/4 + 
       (21*t[43])/32 + t[46]/8 - t[48]/32 - (7*t[49])/16 - (9*t[50])/32 + 
       t[51]/8 + (9*t[52])/32 + (7*t[53])/16 + (17*t[54])/32 - 
       (11*t[59])/24 + (13*t[60])/16 + (35*t[61])/4 - (29*t[62])/3 - 
       (35*t[63])/8 + (55*t[64])/4 + (151*t[65])/36 - (71*t[66])/6 - 
       t[69]/2 + t[70]/4 - t[71]/4 + t[74]/4 + 2*t[79] + t[81]/8 - t[82]/8 + 
       t[83]/8 + (3*t[84])/8 + t[85]/16 + (57*t[86])/8 + (11*t[87])/16 + 
       (11*t[88])/32 + (37*t[89])/32 - (3*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-17*t[1])/16 + (265*t[2])/96 + (127*t[3])/32 + (31*t[4])/4 - 
       (391*t[5])/64 - (179*t[6])/288 - (23*t[7])/32 - (467*t[8])/32 - 
       (103*t[9])/192 - (45*t[10])/32 - (515*t[11])/48 - (713*t[12])/192 - 
       (242*t[13])/27 - (1295*t[14])/192 - (3071*t[15])/1152 - 
       (29*t[18])/72 - t[19]/4 - t[20]/4 - (3*t[21])/4 + (3*t[23])/4 - 
       t[24]/2 + t[26]/4 + t[29]/2 - t[30]/4 - t[31]/4 - (5*t[34])/8 - 
       (3*t[38])/8 + t[39]/4 - t[40]/8 - (11*t[41])/48 - t[42]/18 + 
       (55*t[43])/96 + t[44]/2 + (11*t[45])/24 + t[46]/8 - (59*t[47])/12 + 
       (73*t[48])/96 - (9*t[49])/16 + (29*t[50])/96 + (55*t[52])/96 + 
       (9*t[53])/16 - (5*t[54])/96 - (37*t[59])/144 - (283*t[60])/48 - 
       (127*t[61])/8 + (611*t[62])/48 + (139*t[63])/48 - (455*t[64])/48 - 
       (157*t[65])/12 + (1861*t[66])/72 + t[70] - t[71] + (19*t[74])/24 - 
       (7*t[76])/4 - t[77]/2 + t[78]/4 - (13*t[79])/24 - (79*t[80])/6 - 
       (5*t[81])/4 + t[82]/4 - (3*t[83])/4 - (17*t[84])/16 - (29*t[85])/16 - 
       (13*t[86])/6 + (217*t[87])/48 + (205*t[88])/96 + (139*t[89])/96 - 
       9*t[98] + 6*t[99] - (3*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      Omega2[v, w, u]*((23*t[1])/12 + 15*t[2] + (11*t[3])/6 + (23*t[4])/4 - 
       (347*t[5])/24 + (209*t[6])/12 + (37*t[7])/8 - (93*t[8])/8 + 
       (53*t[9])/3 + (15*t[10])/4 - (143*t[11])/8 - (37*t[12])/6 - 
       (8023*t[13])/432 + (829*t[14])/144 + (127*t[15])/24 - (10*t[18])/3 - 
       (4*t[20])/3 - (10*t[21])/3 - (2*t[22])/3 + (10*t[23])/3 - 
       (14*t[24])/3 + t[26]/2 - (2*t[27])/3 + t[28] + (4*t[29])/3 - 2*t[30] - 
       2*t[31] + (8*t[32])/3 - 4*t[33] - (11*t[34])/6 - 4*t[35] - t[37] - 
       (4*t[38])/3 + 4*t[39] - 6*t[40] - (31*t[41])/12 + (11*t[42])/12 + 
       (37*t[43])/24 + (4*t[44])/3 + (19*t[45])/12 + (3*t[46])/2 - 
       (21*t[47])/2 + (15*t[48])/8 - (5*t[49])/24 + (221*t[50])/24 - 
       (157*t[51])/48 + (47*t[52])/24 + (5*t[53])/24 - (91*t[54])/24 + 
       t[58]/6 + (5*t[59])/4 - (307*t[60])/12 - (379*t[61])/12 + 
       (133*t[62])/4 + (97*t[63])/4 - (173*t[64])/8 - (869*t[65])/18 + 
       (1609*t[66])/36 - t[69] + (14*t[70])/3 - (14*t[71])/3 - (2*t[72])/3 - 
       (49*t[76])/6 + (13*t[77])/6 + (5*t[78])/3 + 4*t[79] - (91*t[80])/3 - 
       (19*t[81])/6 - (41*t[82])/6 - (19*t[83])/6 - (7*t[84])/6 - 
       (2*t[85])/3 - (65*t[86])/3 + (55*t[87])/6 + (55*t[88])/12 - 
       (365*t[89])/24 - (5*t[97])/6 - 40*t[98] + 36*t[99] - (3*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      (-t[1]/3 + (5*t[2])/2 + (845*t[3])/48 - (573*t[4])/8 + (59*t[5])/32 - 
       (781*t[6])/32 + (1435*t[7])/48 + (2429*t[8])/48 - (4975*t[9])/96 - 
       (5863*t[10])/48 + (4295*t[11])/96 + (1169*t[12])/32 - 
       (26885*t[13])/864 - (17153*t[14])/288 - (3355*t[15])/576 - 
       (3*t[16])/2 + 2*t[18] + (5*t[19])/3 + t[20] + 3*t[21] - 3*t[23] + 
       2*t[24] - (53*t[26])/6 - 5*t[27] - 20*t[28] + t[29]/2 + (7*t[30])/2 - 
       13*t[31] - 5*t[32] + (14*t[33])/3 + 3*t[34] + 12*t[35] + (7*t[37])/3 + 
       2*t[38] - (53*t[39])/2 + (75*t[40])/4 + (3*t[41])/2 - t[42]/2 - 
       (20*t[43])/3 - (17*t[44])/4 - (245*t[45])/24 - (11*t[46])/2 + 
       (87*t[47])/4 + (845*t[48])/96 + (35*t[49])/6 + (467*t[50])/32 + 
       (743*t[51])/96 - (1273*t[52])/96 - 6*t[53] + (1799*t[54])/96 + 
       t[58]/6 - (7*t[59])/2 - (2745*t[60])/16 - (289*t[61])/48 - 
       (7687*t[62])/96 + (6287*t[63])/96 + (25727*t[64])/96 + 
       (959*t[65])/16 + (2783*t[66])/48 + t[67]/6 + (26*t[68])/3 - 6*t[70] + 
       6*t[71] - 4*t[72] + 8*t[73] - (2*t[74])/3 - 16*t[75] - (45*t[76])/2 - 
       (35*t[77])/2 + (41*t[78])/6 + 18*t[79] + (101*t[80])/6 - 
       (101*t[81])/6 + 25*t[82] + 17*t[83] - (1535*t[84])/48 - 
       (1559*t[85])/48 + (2293*t[86])/12 + (3307*t[87])/48 + 
       (1867*t[88])/96 - (8633*t[89])/96 - t[90]/3 + t[91]/12 - t[93] + 
       6*t[95] - t[96]/3 - (10*t[97])/3 - 48*t[98] + 70*t[99] - 
       (3*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((7*t[1])/6 - 3*t[2] + (1477*t[3])/24 - 
       (3491*t[4])/48 + (353*t[5])/32 - (1243*t[6])/24 + (511*t[7])/12 - 
       (225*t[8])/8 - (3569*t[9])/96 - (1887*t[10])/32 + (1085*t[11])/48 + 
       (691*t[12])/24 - (9071*t[13])/216 - (41629*t[14])/576 - 
       (751*t[15])/1728 - 3*t[17] + 2*t[18] + t[19] - 12*t[20] - 2*t[21] + 
       (43*t[22])/3 + 4*t[23] + (5*t[24])/3 + (2*t[27])/3 - 2*t[28] - 
       (113*t[29])/12 + (31*t[30])/3 - 4*t[31] - (49*t[32])/3 - t[33]/3 + 
       6*t[34] - 7*t[35] + 9*t[36] - 5*t[37] - (2*t[38])/3 + (13*t[39])/6 + 
       (35*t[40])/12 - (11*t[41])/3 + 5*t[42] - (31*t[43])/48 + 
       (25*t[44])/24 - (11*t[45])/6 - (8*t[46])/3 + (23*t[47])/3 - 
       (101*t[48])/3 - (2347*t[49])/96 + (49*t[50])/4 + (845*t[51])/64 - 
       (259*t[52])/12 + (2155*t[53])/96 - (311*t[54])/16 + t[55]/6 + 
       (3*t[56])/2 + 3*t[57] + t[58] - (7*t[59])/2 - (2745*t[60])/16 - 
       (289*t[61])/48 - (7687*t[62])/96 + (6287*t[63])/96 + 
       (25727*t[64])/96 + (959*t[65])/16 + (2783*t[66])/48 + t[67]/6 + 
       (26*t[68])/3 - 6*t[70] + 6*t[71] - 4*t[72] + 8*t[73] - (2*t[74])/3 - 
       16*t[75] - (45*t[76])/2 - (35*t[77])/2 + (41*t[78])/6 + 18*t[79] + 
       (101*t[80])/6 - (101*t[81])/6 + 25*t[82] + 17*t[83] - 
       (1535*t[84])/48 - (1559*t[85])/48 + (2293*t[86])/12 + 
       (3307*t[87])/48 + (1867*t[88])/96 - (8633*t[89])/96 - t[90]/3 + 
       t[91]/12 - t[93] + 6*t[95] - t[96]/3 - (10*t[97])/3 - 48*t[98] + 
       70*t[99] - (3*t[100])/2) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
      (-t[1]/6 + (77*t[2])/12 - (77*t[3])/12 - (25*t[4])/4 + (2743*t[5])/96 + 
       (317*t[6])/8 - (667*t[7])/8 + (140*t[8])/3 - (10985*t[9])/96 + 
       (2615*t[10])/48 - (3653*t[11])/48 - (4789*t[12])/96 - 
       (6685*t[13])/216 - (791*t[14])/32 + (5959*t[15])/192 + t[16] - 
       t[17]/2 - (31*t[18])/6 - t[19] + t[20]/6 - (11*t[21])/3 + 
       (95*t[22])/6 + (11*t[23])/3 - (19*t[24])/6 + (7*t[25])/3 - 
       (11*t[26])/3 + (7*t[27])/2 - (35*t[29])/12 + 5*t[30] - t[31]/3 + 
       (20*t[32])/3 + (9*t[33])/2 - (115*t[34])/6 + (7*t[36])/2 + 
       (29*t[38])/6 - (13*t[39])/4 + t[40]/6 + (13*t[41])/12 - 
       (41*t[42])/12 + (43*t[43])/48 - (65*t[44])/24 + (143*t[45])/6 + 
       (14*t[46])/3 - (93*t[47])/2 + (347*t[48])/24 - (101*t[49])/16 - 
       (67*t[50])/8 - (223*t[51])/48 + (493*t[52])/24 - (23*t[53])/16 + 
       (289*t[54])/12 + t[55]/2 - (17*t[58])/6 + 2*t[59] - (137*t[60])/3 - 
       (1885*t[61])/24 + (1033*t[62])/8 + (43*t[63])/8 - (741*t[64])/16 - 
       (5629*t[65])/72 + (6371*t[66])/36 - t[68] + (3*t[69])/2 + 
       (71*t[70])/6 - (71*t[71])/6 - (11*t[72])/6 + 4*t[73] + (19*t[74])/2 - 
       4*t[75] - (457*t[76])/12 - (43*t[77])/6 + (94*t[78])/3 - 
       (251*t[80])/3 - (52*t[81])/3 - (125*t[82])/12 - (41*t[83])/6 + 
       (35*t[84])/12 - (719*t[85])/24 - (613*t[86])/12 + (1247*t[87])/24 + 
       (1835*t[88])/48 - (5*t[89])/3 - t[92]/2 + t[94]/2 - 3*t[95] - 
       3*t[96] - (7*t[97])/6 - 200*t[98] + 228*t[99] - (3*t[100])/2) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*((-8*t[1])/3 + (149*t[2])/8 + 
       (247*t[3])/24 + (153*t[4])/4 - (1153*t[5])/96 + (71*t[6])/6 - 
       (711*t[7])/16 - (355*t[8])/16 - (3763*t[9])/96 - (163*t[10])/8 - 
       (491*t[11])/8 - (2861*t[12])/96 - (42481*t[13])/864 - 
       (11999*t[14])/288 - (613*t[15])/576 - t[16]/2 + t[17]/2 - 
       (14*t[18])/3 - (3*t[19])/2 - (25*t[20])/6 - (37*t[21])/6 + 
       (7*t[22])/6 + (37*t[23])/6 - (22*t[24])/3 + t[25]/2 + (3*t[26])/4 - 
       (10*t[27])/3 - t[29]/12 + (3*t[30])/2 - t[31]/2 - (23*t[32])/12 + 
       2*t[33] - (103*t[34])/6 - t[37] - (2*t[38])/3 - (5*t[39])/4 + 
       6*t[40] - (35*t[41])/12 + (7*t[42])/12 + t[43]/12 - (47*t[44])/24 + 
       (109*t[45])/24 + t[46] - (57*t[47])/4 + (367*t[48])/16 - 
       (299*t[49])/48 + (185*t[50])/48 - (25*t[51])/24 - (49*t[52])/48 + 
       (59*t[53])/48 + (29*t[54])/48 - t[55]/2 + t[58]/12 + 2*t[59] - 
       (137*t[60])/3 - (1885*t[61])/24 + (1033*t[62])/8 + (43*t[63])/8 - 
       (741*t[64])/16 - (5629*t[65])/72 + (6371*t[66])/36 - t[68] + 
       (3*t[69])/2 + (71*t[70])/6 - (71*t[71])/6 - (11*t[72])/6 + 4*t[73] + 
       (19*t[74])/2 - 4*t[75] - (457*t[76])/12 - (43*t[77])/6 + 
       (94*t[78])/3 - (251*t[80])/3 - (52*t[81])/3 - (125*t[82])/12 - 
       (41*t[83])/6 + (35*t[84])/12 - (719*t[85])/24 - (613*t[86])/12 + 
       (1247*t[87])/24 + (1835*t[88])/48 - (5*t[89])/3 - t[92]/2 + t[94]/2 - 
       3*t[95] - 3*t[96] - (7*t[97])/6 - 200*t[98] + 228*t[99] - 
       (3*t[100])/2) + HPL[{1}, 1 - w]^2*M1[w, v, u]*
      ((-5*t[2])/3 - (67*t[3])/24 - (14*t[4])/3 + (211*t[5])/48 + 
       (37*t[6])/12 - (13*t[7])/4 + (139*t[8])/12 - (35*t[9])/16 + 
       (59*t[10])/12 + (35*t[11])/12 + (19*t[12])/16 + (1633*t[13])/432 + 
       (47*t[14])/16 + (943*t[15])/288 + t[23]/6 + t[24]/6 + t[31]/6 - 
       t[41]/6 + t[42]/3 - t[43]/8 - (5*t[45])/12 + (11*t[47])/6 - t[48]/24 + 
       t[49]/3 - (5*t[50])/24 - t[51]/6 + (5*t[52])/24 - t[53]/3 - t[54]/8 - 
       t[59]/3 + t[60]/12 + (13*t[61])/3 + (49*t[62])/24 + (17*t[63])/8 + 
       (61*t[64])/24 + (13*t[65])/9 - (64*t[66])/9 + t[72]/2 - t[77]/2 + 
       5*t[80] - t[83]/3 + t[84]/4 + t[85]/4 - (13*t[86])/3 - (17*t[87])/12 - 
       (17*t[88])/24 - (35*t[89])/8 - t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*(-t[1]/12 + (17*t[2])/24 - 
       (73*t[3])/32 + (895*t[4])/96 - (563*t[5])/96 + (515*t[6])/192 - 
       (439*t[7])/192 + (533*t[8])/192 + (157*t[9])/24 - (65*t[10])/64 + 
       (69*t[11])/64 + (39*t[12])/32 + (1537*t[13])/864 - (95*t[14])/576 - 
       (4375*t[15])/1152 - t[23]/6 - t[24]/6 - (13*t[31])/24 + t[41]/2 - 
       (2*t[42])/3 - (253*t[43])/192 - (3*t[44])/2 - (49*t[45])/24 - 
       (4*t[46])/3 + (73*t[47])/12 - (37*t[48])/192 - (11*t[49])/48 - 
       (23*t[50])/64 + (35*t[51])/96 + (23*t[52])/64 + (11*t[53])/48 + 
       (125*t[54])/192 + (19*t[59])/24 + (65*t[60])/96 + (73*t[61])/24 + 
       (545*t[62])/96 - (95*t[63])/96 - (565*t[64])/96 + (77*t[65])/144 + 
       (53*t[66])/16 + (5*t[74])/3 - (7*t[79])/8 + (67*t[80])/24 - t[81]/48 + 
       t[82]/48 - t[83]/3 + t[84]/3 + (25*t[85])/96 - (85*t[86])/16 - 
       (73*t[87])/96 - (73*t[88])/192 - (73*t[89])/64 - t[100]) + 
     HPL[{1}, 1 - v]^2*M1[w, v, u]*(-t[3]/12 + t[4]/12 + (15*t[5])/8 + 
       (37*t[6])/24 + t[8]/6 - (25*t[9])/24 - t[10]/8 + (37*t[11])/24 - 
       (3*t[12])/2 + (23*t[13])/216 + (259*t[14])/144 + (23*t[15])/48 + 
       (7*t[43])/12 + t[48]/8 + (11*t[49])/24 - t[50]/24 - (11*t[51])/48 + 
       t[52]/24 - (11*t[53])/24 - t[54]/24 - t[59]/3 + (7*t[60])/3 + 
       (23*t[61])/6 - (19*t[62])/12 + (5*t[63])/4 + (5*t[64])/12 - 
       (32*t[65])/9 - (95*t[66])/18 - t[83]/3 + (5*t[86])/3 - (5*t[87])/3 - 
       (5*t[88])/6 - t[89] - t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*(t[1]/96 - (5*t[2])/48 - (13*t[3])/96 + 
       (53*t[4])/96 - (19*t[5])/96 + (611*t[6])/384 - (127*t[7])/128 - 
       (523*t[8])/384 - (59*t[9])/128 + (61*t[10])/96 - (77*t[11])/384 + 
       t[12]/128 - (2287*t[13])/3456 + (463*t[14])/768 + (725*t[15])/2304 - 
       t[18]/48 + t[23]/24 + t[24]/24 + (11*t[31])/48 - t[41]/96 - 
       (7*t[42])/96 + (39*t[43])/128 - (29*t[45])/192 + t[46]/32 - 
       (25*t[47])/96 - (55*t[48])/384 - (19*t[49])/384 - (71*t[50])/384 + 
       t[51]/768 + (71*t[52])/384 + (19*t[53])/384 - t[54]/128 - t[59]/8 + 
       (25*t[60])/48 + (23*t[61])/24 + (343*t[62])/96 + (75*t[63])/32 - 
       (347*t[64])/96 - (115*t[65])/72 + (25*t[66])/72 - t[79]/2 - 
       (13*t[80])/8 + t[81]/8 - t[82]/8 - t[83]/3 + (7*t[85])/16 - 
       (49*t[86])/12 - (29*t[87])/48 - (29*t[88])/96 + (9*t[89])/32 - 
       t[100]) + HPL[{1}, 1 - v]^2*Nt[u, v, w]*(t[1]/4 - (17*t[3])/24 - 
       t[4]/24 + (3*t[5])/4 + (31*t[6])/24 + t[7]/16 - (25*t[8])/48 - 
       (41*t[9])/48 - (17*t[10])/16 + (13*t[11])/24 - t[12]/2 - 
       (7*t[13])/54 + (157*t[14])/144 + (79*t[15])/96 + (25*t[43])/48 + 
       t[48]/8 - t[49]/24 - t[50]/24 + t[51]/48 + t[52]/24 + t[53]/24 - 
       t[54]/24 - t[59]/12 + t[60]/3 + (35*t[61])/24 + (125*t[62])/48 + 
       (37*t[63])/16 - (73*t[64])/48 - (59*t[65])/36 + t[66]/18 - t[79] - 
       t[83]/3 - (31*t[86])/12 - t[87]/6 - t[88]/12 + t[89]/2 - t[100]) + 
     HPL[{1}, 1 - w]^2*Nt[u, v, w]*(t[2]/12 + (17*t[3])/24 + (13*t[4])/12 + 
       (5*t[5])/24 + t[6]/3 - (3*t[7])/4 - (49*t[8])/24 - (9*t[9])/8 - 
       (19*t[10])/12 - (11*t[11])/24 - (3*t[12])/4 - (383*t[13])/432 - 
       (25*t[14])/48 - t[15]/9 + t[23]/6 + t[24]/6 + t[31]/6 + t[41]/12 + 
       t[42]/12 + t[43] - (37*t[45])/24 + (13*t[47])/12 - t[48]/24 - 
       t[49]/24 - (5*t[50])/24 + t[51]/48 + (5*t[52])/24 + t[53]/24 + 
       t[54]/8 - t[59]/12 + t[60]/3 + (35*t[61])/24 + (125*t[62])/48 + 
       (37*t[63])/16 - (73*t[64])/48 - (59*t[65])/36 + t[66]/18 - t[79] - 
       t[83]/3 - (31*t[86])/12 - t[87]/6 - t[88]/12 + t[89]/2 - t[100]) + 
     HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - u]*((5*t[1])/48 - (31*t[3])/48 - 
       (29*t[4])/48 + (11*t[5])/16 + (151*t[6])/96 + t[7]/16 - (19*t[8])/48 - 
       (13*t[9])/24 - (27*t[10])/16 + (103*t[11])/96 - t[12]/48 - 
       (191*t[13])/432 + (451*t[14])/576 + (163*t[15])/192 + t[31]/4 + 
       (59*t[43])/96 + (3*t[46])/16 - (3*t[48])/32 - (5*t[49])/12 - 
       (25*t[50])/96 + (13*t[51])/192 + (25*t[52])/96 + (5*t[53])/12 + 
       (17*t[54])/96 - (7*t[59])/16 - (11*t[60])/48 + (19*t[61])/12 + 
       (23*t[62])/8 + (3*t[63])/4 + (7*t[64])/6 - (101*t[65])/72 - 
       (7*t[66])/6 + (3*t[74])/8 - (3*t[79])/8 + (13*t[80])/4 + t[81]/8 - 
       t[82]/8 - t[83]/3 + (7*t[85])/16 - (25*t[86])/12 + (7*t[87])/48 + 
       (7*t[88])/96 + (27*t[89])/32 - t[100]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u]*((-7*t[1])/6 - 3*t[2] - 
       (17*t[3])/6 + (10*t[4])/3 + (41*t[5])/4 + (217*t[6])/24 - 
       (13*t[7])/2 + (44*t[8])/3 - (149*t[9])/12 + (43*t[10])/4 - 
       (119*t[11])/24 - 9*t[12] + (1097*t[13])/216 + (191*t[14])/72 + 
       (35*t[15])/8 + t[21] - t[23] + t[41]/2 - t[42]/2 + (25*t[43])/12 - 
       t[45]/2 - (3*t[46])/2 - 5*t[47] + (7*t[48])/8 + (37*t[49])/12 - 
       (31*t[50])/24 - (5*t[51])/12 + (31*t[52])/24 - (37*t[53])/12 + 
       (11*t[54])/24 + (11*t[59])/6 + (115*t[60])/12 - (59*t[61])/12 + 
       (139*t[62])/24 - (37*t[63])/8 + (55*t[64])/24 - (71*t[65])/36 - 
       (313*t[66])/36 - t[69] - 3*t[74] + 3*t[79] - 13*t[80] + t[83]/6 - 
       t[84]/4 - (3*t[85])/4 - (7*t[86])/3 - (41*t[87])/12 - (41*t[88])/24 + 
       (15*t[89])/8 - t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((55*t[2])/12 + (155*t[3])/24 + (323*t[4])/24 - (53*t[5])/12 + 
       (159*t[6])/8 - (221*t[7])/4 - (7*t[8])/24 - (495*t[9])/16 - 
       (931*t[10])/48 + (43*t[11])/24 - (163*t[12])/16 + (1759*t[13])/432 - 
       (893*t[14])/96 - (1261*t[15])/144 + t[17] + (5*t[18])/6 + 
       (2*t[23])/3 + (8*t[24])/3 - (16*t[31])/3 + t[41]/3 + (23*t[42])/12 + 
       (63*t[43])/8 - (73*t[45])/24 - (29*t[47])/12 + (40*t[48])/3 + 
       (109*t[49])/48 - (22*t[50])/3 - (109*t[51])/96 + (22*t[52])/3 - 
       (109*t[53])/48 + (33*t[54])/8 - (47*t[59])/12 - (391*t[60])/24 + 
       (185*t[61])/6 + (271*t[62])/6 + (93*t[63])/4 + (311*t[64])/12 + 
       (35*t[65])/18 - (361*t[66])/9 - t[67] - 4*t[69] + 2*t[70] - 2*t[71] + 
       (13*t[74])/2 + 7*t[79] + (3*t[81])/4 - (3*t[82])/4 - (23*t[83])/6 + 
       (3*t[84])/4 - t[85]/8 - (871*t[86])/12 + (407*t[87])/24 + 
       (407*t[88])/48 + (151*t[89])/16 - t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((25*t[1])/12 - (143*t[3])/24 - (259*t[4])/24 + (61*t[5])/4 + 
       (947*t[6])/48 - (181*t[7])/16 - (811*t[8])/48 - (179*t[9])/12 + 
       (91*t[10])/16 + (1007*t[11])/48 - t[12]/2 + (1889*t[13])/216 + 
       (10*t[14])/9 + (493*t[15])/32 + (7*t[31])/2 + (493*t[43])/48 + 
       (13*t[46])/4 - (35*t[48])/16 - (38*t[49])/3 - (113*t[50])/48 + 
       (187*t[51])/48 + (113*t[52])/48 + (38*t[53])/3 + (337*t[54])/48 - 
       (47*t[59])/12 - (391*t[60])/24 + (185*t[61])/6 + (271*t[62])/6 + 
       (93*t[63])/4 + (311*t[64])/12 + (35*t[65])/18 - (361*t[66])/9 - 
       t[67] - 4*t[69] + 2*t[70] - 2*t[71] + (13*t[74])/2 + 7*t[79] + 
       (3*t[81])/4 - (3*t[82])/4 - (23*t[83])/6 + (3*t[84])/4 - t[85]/8 - 
       (871*t[86])/12 + (407*t[87])/24 + (407*t[88])/48 + (151*t[89])/16 - 
       t[100]) + HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - u]*
      ((5*t[1])/48 - (149*t[3])/288 - (199*t[4])/288 + (31*t[5])/32 + 
       (755*t[6])/576 + (59*t[7])/192 - (67*t[8])/576 - (199*t[9])/288 - 
       (385*t[10])/192 + (647*t[11])/576 - (13*t[12])/96 - (181*t[13])/2592 + 
       (587*t[14])/864 + (949*t[15])/1152 + (5*t[31])/24 + (373*t[43])/576 + 
       (7*t[46])/48 - (5*t[48])/64 - (47*t[49])/144 - (125*t[50])/576 + 
       (31*t[51])/576 + (125*t[52])/576 + (47*t[53])/144 + (85*t[54])/576 - 
       (37*t[59])/144 - (43*t[60])/288 + (187*t[61])/144 + (31*t[62])/18 + 
       (13*t[63])/48 + (83*t[64])/36 - (575*t[65])/432 - (379*t[66])/432 + 
       (7*t[74])/24 - t[79]/3 + (91*t[80])/24 + (5*t[81])/48 - (5*t[82])/48 - 
       (5*t[83])/18 + (35*t[85])/96 - (91*t[86])/144 + (23*t[87])/288 + 
       (23*t[88])/576 + (131*t[89])/192 - (5*t[100])/6) + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-499*t[1])/288 + (13*t[2])/48 - (3343*t[3])/576 - (607*t[4])/72 + 
       (3553*t[5])/384 + (1037*t[6])/144 + (15*t[7])/4 + (667*t[8])/72 - 
       (4159*t[9])/1152 + (377*t[10])/48 - (811*t[11])/144 - 
       (647*t[12])/128 - (10123*t[13])/10368 + (25223*t[14])/3456 + 
       (18661*t[15])/2304 + (5*t[31])/8 - t[41]/48 + t[42]/48 + 
       (1621*t[43])/576 + t[44]/2 + (437*t[45])/96 + (5*t[46])/12 - 
       (347*t[47])/48 - (13*t[48])/192 - (23*t[49])/144 - (263*t[50])/576 + 
       (5*t[51])/288 + (263*t[52])/576 + (23*t[53])/144 + (271*t[54])/576 - 
       (547*t[59])/288 + (785*t[60])/288 - (3457*t[61])/288 + 
       (1589*t[62])/576 - (1327*t[63])/192 - (3067*t[64])/576 - 
       (1813*t[65])/864 + (5983*t[66])/864 - t[74]/2 - 3*t[77] - 
       (3*t[79])/8 - (61*t[80])/12 + (25*t[81])/48 - (25*t[82])/48 - 
       (13*t[83])/36 - t[84]/8 + (41*t[85])/32 + (901*t[86])/72 - 
       (433*t[87])/288 - (433*t[88])/576 + (995*t[89])/192 - (5*t[100])/6) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^4*((3*t[2])/16 + (27*t[3])/64 + 
       (57*t[4])/64 - (5*t[5])/64 + (55*t[6])/192 - (19*t[7])/32 - 
       (17*t[8])/64 - (61*t[9])/128 - (245*t[10])/128 + (23*t[11])/64 - 
       (49*t[12])/128 - (119*t[13])/1152 - (135*t[14])/256 - (65*t[15])/192 + 
       t[18]/16 + t[23]/8 + t[24]/8 + t[31]/8 - t[41]/32 + (13*t[42])/96 + 
       (39*t[43])/64 - (63*t[45])/64 + (37*t[47])/32 + (5*t[48])/32 + 
       (3*t[49])/128 - (11*t[50])/32 - (3*t[51])/256 + (11*t[52])/32 - 
       (3*t[53])/128 + (11*t[54])/64 - (13*t[59])/96 - (5*t[60])/64 + 
       (49*t[61])/32 + (29*t[62])/32 + t[63]/2 + (51*t[64])/32 - 
       (27*t[65])/32 - (181*t[66])/96 + (3*t[74])/16 - t[79]/4 + 
       (13*t[80])/16 + t[81]/32 - t[82]/32 - t[83]/4 + (7*t[85])/64 - 
       (17*t[86])/32 + (9*t[87])/64 + (9*t[88])/128 + (47*t[89])/128 - 
       (3*t[100])/4) + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^3*
      ((-13*t[1])/96 + t[2]/96 - (19*t[3])/32 - (307*t[4])/96 + 
       (177*t[5])/128 + (305*t[6])/192 + (703*t[7])/384 + (151*t[8])/384 - 
       (15*t[9])/128 + (175*t[10])/384 + (1019*t[11])/384 + (77*t[12])/128 + 
       (2131*t[13])/6912 + (91*t[14])/48 + (475*t[15])/384 + (5*t[31])/16 - 
       t[41]/96 + t[42]/96 + (71*t[43])/128 + t[44]/4 + (11*t[45])/12 + 
       (7*t[46])/24 - (13*t[47])/12 + t[48]/128 - (7*t[49])/32 - 
       (31*t[50])/128 + t[51]/64 + (31*t[52])/128 + (7*t[53])/32 + 
       (39*t[54])/128 - t[59]/6 + (61*t[60])/64 + (515*t[61])/96 - 
       (551*t[62])/192 + (35*t[63])/192 + (193*t[64])/96 + (19*t[65])/16 - 
       (455*t[66])/72 - t[74]/12 + (5*t[79])/16 - (55*t[80])/48 + 
       (25*t[81])/96 - (25*t[82])/96 - t[83]/8 + t[84]/48 + (107*t[85])/192 + 
       (5*t[86])/96 - (25*t[87])/64 - (25*t[88])/128 + (89*t[89])/128 - 
       (3*t[100])/4) + HPL[{1}, 1 - v]^2*M1[v, u, w]*
      ((3*t[2])/2 + (19*t[3])/12 - (25*t[4])/12 - (3*t[5])/2 - (95*t[6])/48 + 
       (23*t[7])/4 - (31*t[8])/6 + (163*t[9])/24 - (9*t[10])/8 + 
       (265*t[11])/48 + (21*t[12])/8 + (491*t[13])/432 + (133*t[14])/72 - 
       (119*t[15])/48 - t[21]/2 + t[23]/2 - t[41]/4 + t[42]/4 - 
       (13*t[43])/12 + t[45]/4 + (5*t[47])/2 - (5*t[48])/16 + t[49]/24 + 
       (29*t[50])/48 - t[51]/48 - (29*t[52])/48 - t[53]/24 - t[54]/48 - 
       t[59]/6 + (31*t[60])/24 + (361*t[61])/24 - (779*t[62])/48 + 
       (45*t[63])/16 + (85*t[64])/48 + (217*t[65])/72 - (901*t[66])/72 + 
       t[69]/2 + t[83]/12 + (3*t[84])/8 + t[85]/8 + (35*t[86])/6 - 
       (29*t[87])/24 - (29*t[88])/48 - (25*t[89])/16 - t[100]/2) + 
     HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - v]*((-5*t[2])/96 + (71*t[3])/48 + 
       (65*t[4])/48 + (43*t[5])/24 + (11*t[6])/24 - (137*t[7])/32 - 
       (191*t[8])/96 - (81*t[9])/16 + (91*t[10])/48 - (125*t[11])/48 - 
       (33*t[12])/16 - (379*t[13])/432 - (593*t[14])/576 + (745*t[15])/576 + 
       t[18]/24 + t[23]/3 + t[24]/3 + t[31]/3 - (5*t[41])/24 + 
       (23*t[42])/48 + (15*t[43])/16 - (25*t[45])/48 - (41*t[47])/24 + 
       t[48]/24 + (19*t[49])/96 - (13*t[50])/24 - (19*t[51])/192 + 
       (13*t[52])/24 - (19*t[53])/96 - (3*t[54])/16 - (39*t[59])/80 - 
       (13*t[60])/48 - (25*t[61])/12 + (57*t[62])/8 + (13*t[63])/4 - 
       (181*t[64])/24 - (20*t[65])/9 + (23*t[66])/8 + t[74]/8 - (5*t[79])/8 - 
       (13*t[80])/4 + t[81]/8 - t[82]/8 - (5*t[83])/12 - t[84]/8 + 
       (9*t[85])/16 - (89*t[86])/12 - (19*t[87])/48 - (19*t[88])/96 + 
       t[89]/32 - t[100]/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^5*
      (t[1]/96 - (31*t[3])/96 - (29*t[4])/96 + (11*t[5])/32 + 
       (151*t[6])/192 + t[7]/32 - (19*t[8])/96 - (13*t[9])/48 - 
       (27*t[10])/32 + (103*t[11])/192 - t[12]/96 - (143*t[13])/864 + 
       (451*t[14])/1152 + (163*t[15])/384 + t[31]/8 + (59*t[43])/192 + 
       (3*t[46])/32 - (3*t[48])/64 - (5*t[49])/24 - (25*t[50])/192 + 
       (13*t[51])/384 + (25*t[52])/192 + (5*t[53])/24 + (17*t[54])/192 - 
       (7*t[59])/32 - (11*t[60])/96 + (19*t[61])/24 + (23*t[62])/16 + 
       (3*t[63])/8 + (7*t[64])/12 - (101*t[65])/144 - (25*t[66])/36 + 
       (3*t[74])/16 - (3*t[79])/16 + (13*t[80])/8 + t[81]/16 - t[82]/16 - 
       t[83]/6 + (7*t[85])/32 - (25*t[86])/24 + (7*t[87])/96 + 
       (7*t[88])/192 + (27*t[89])/64 - t[100]/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, u, w]*(t[1] + t[2]/6 + 
       (7*t[3])/12 + (13*t[4])/4 + (3*t[5])/8 - (7*t[6])/8 - (119*t[7])/24 + 
       (25*t[8])/8 - (35*t[9])/6 - (11*t[10])/6 - (19*t[11])/3 - 
       (7*t[12])/4 - (307*t[13])/144 - (649*t[14])/144 + t[21] - t[23] - 
       t[41]/6 + t[42]/6 - (5*t[43])/24 - (19*t[45])/12 + t[46]/6 + 
       (7*t[47])/6 + (3*t[48])/4 - (5*t[49])/24 - (13*t[50])/12 - t[51]/48 + 
       (13*t[52])/12 + (5*t[53])/24 + t[54]/6 - t[59] - (17*t[60])/6 - 
       (21*t[61])/2 + (277*t[62])/24 - (161*t[63])/24 + t[64] - 
       (7*t[65])/36 + 15*t[66] - t[69] + (2*t[74])/3 + (8*t[80])/3 - 
       t[81]/3 + t[82]/3 - t[83]/6 - (5*t[84])/12 - (13*t[85])/12 - 
       (19*t[86])/3 + (35*t[87])/12 + (35*t[88])/24 + t[89] - t[100]/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^5*((-5*t[2])/192 + (71*t[3])/96 + 
       (65*t[4])/96 + (43*t[5])/48 + (11*t[6])/48 - (137*t[7])/64 - 
       (191*t[8])/192 - (81*t[9])/32 + (91*t[10])/96 - (125*t[11])/96 - 
       (33*t[12])/32 - (355*t[13])/864 - (593*t[14])/1152 + 
       (745*t[15])/1152 + t[18]/48 + t[23]/6 + t[24]/6 + t[31]/6 - 
       (5*t[41])/48 + (23*t[42])/96 + (15*t[43])/32 - (25*t[45])/96 - 
       (41*t[47])/48 + t[48]/48 + (19*t[49])/192 - (13*t[50])/48 - 
       (19*t[51])/384 + (13*t[52])/48 - (19*t[53])/192 - (3*t[54])/32 - 
       (23*t[59])/96 - (13*t[60])/96 - (25*t[61])/24 + (57*t[62])/16 + 
       (13*t[63])/8 - (181*t[64])/48 - (10*t[65])/9 + (191*t[66])/144 + 
       t[74]/16 - (5*t[79])/16 - (13*t[80])/8 + t[81]/16 - t[82]/16 - 
       (5*t[83])/24 - t[84]/16 + (9*t[85])/32 - (89*t[86])/24 - 
       (19*t[87])/96 - (19*t[88])/192 + t[89]/64 - t[100]/4) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^4*((3*t[1])/32 - (31*t[3])/192 - 
       (101*t[4])/192 + (51*t[5])/64 + (97*t[6])/384 + (33*t[7])/128 + 
       (7*t[8])/384 - (125*t[9])/192 - (123*t[10])/128 + (205*t[11])/384 - 
       (23*t[12])/64 + (337*t[13])/1728 + (121*t[14])/576 + (335*t[15])/768 - 
       t[31]/16 + (119*t[43])/384 + t[46]/32 + (11*t[48])/128 - 
       (7*t[49])/96 + (17*t[50])/384 + (5*t[51])/384 - (17*t[52])/384 + 
       (7*t[53])/96 - (25*t[54])/384 + (13*t[59])/96 - (17*t[60])/192 + 
       (65*t[61])/96 - t[62]/48 + (5*t[63])/32 + (59*t[64])/48 - 
       (85*t[65])/288 - (113*t[66])/288 + t[74]/16 - t[79]/4 + 
       (13*t[80])/16 - t[81]/32 + t[82]/32 - t[83]/12 - (7*t[85])/64 + 
       (31*t[86])/96 + (37*t[87])/192 + (37*t[88])/384 + (25*t[89])/128 - 
       t[100]/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((-7*t[1])/12 - (27*t[2])/16 - (539*t[3])/384 - (27*t[4])/16 + 
       (313*t[5])/768 + (1169*t[6])/384 - (621*t[7])/128 - (133*t[8])/128 - 
       (2633*t[9])/768 + (307*t[10])/128 - (751*t[11])/128 + 
       (1079*t[12])/768 - (23363*t[13])/6912 - (1765*t[14])/2304 - 
       (673*t[15])/4608 + t[18]/12 + t[20]/12 + t[21]/12 - t[22]/12 - 
       t[23]/12 + (5*t[24])/12 + t[27]/6 + t[28]/4 + (7*t[29])/24 - t[30]/8 + 
       (7*t[31])/8 - t[32]/6 + t[33]/4 + (11*t[34])/24 + t[36]/8 + t[37]/4 - 
       t[38]/24 - t[39]/4 + t[40]/8 + (5*t[41])/24 - t[42]/6 + 
       (43*t[43])/192 - (5*t[44])/24 - (67*t[45])/192 - t[46]/8 - 
       (15*t[47])/32 - (3*t[48])/16 - (19*t[49])/96 - (67*t[50])/48 + 
       (13*t[51])/192 + (65*t[52])/48 + (19*t[53])/96 + (49*t[54])/24 - 
       t[58]/24 - (7*t[59])/12 + (61*t[60])/48 - (1697*t[61])/192 + 
       (1559*t[62])/128 + (489*t[63])/128 + (125*t[64])/128 - 
       (1913*t[65])/576 + (5315*t[66])/576 + t[69]/4 + t[70]/12 - t[71]/12 + 
       t[72]/6 + t[73]/2 + t[74]/4 - t[75]/4 + (19*t[76])/24 - (7*t[77])/24 - 
       (13*t[78])/24 - (47*t[80])/48 + (7*t[81])/24 + (23*t[82])/24 - 
       (7*t[83])/3 - (5*t[84])/24 + (77*t[85])/48 - (731*t[86])/96 - 
       (137*t[87])/48 - (137*t[88])/96 + (29*t[89])/96 + t[97]/12 + 
       (11*t[98])/2 - (15*t[99])/2 - t[100]/4) + HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - v]^2*((17*t[1])/12 - t[2]/6 - (247*t[3])/192 - 
       (17*t[4])/8 - (67*t[5])/384 - (185*t[6])/32 + (3*t[7])/16 - 
       (475*t[8])/96 - (259*t[9])/384 - (311*t[10])/48 + (65*t[11])/192 - 
       (1361*t[12])/384 - (2749*t[13])/1728 + (81*t[14])/128 + 
       (3509*t[15])/2304 + t[18]/6 - t[20]/6 + t[21]/6 - (4*t[22])/3 - 
       t[23]/6 - t[24]/3 - t[25]/3 + t[26]/6 - (7*t[29])/12 + t[30]/4 - 
       (11*t[31])/12 - (2*t[32])/3 + t[33]/2 + (11*t[34])/12 + t[36]/4 - 
       t[38]/12 - t[39]/2 + (7*t[40])/12 - (5*t[41])/24 + (7*t[42])/24 + 
       (329*t[43])/192 + t[44]/12 - (41*t[45])/24 + t[46]/3 - t[47]/4 + 
       (13*t[48])/24 - (21*t[49])/32 - t[50]/8 + (55*t[51])/192 - 
       (7*t[52])/24 + (21*t[53])/32 + (65*t[54])/48 + t[58]/12 + 
       (3*t[59])/8 - (229*t[60])/48 - (503*t[61])/96 + (73*t[62])/64 - 
       (113*t[63])/64 - (49*t[64])/64 + (925*t[65])/288 - (487*t[66])/288 - 
       t[69]/2 - (5*t[70])/6 + (5*t[71])/6 + t[72]/3 - t[73] + (3*t[74])/4 + 
       t[75]/2 + (13*t[76])/12 - t[77]/12 - (7*t[78])/12 - t[79] + 
       (169*t[80])/24 - t[81]/24 + (37*t[82])/24 + (29*t[83])/6 - 
       (19*t[84])/24 - (65*t[85])/48 + (145*t[86])/48 + (197*t[87])/48 + 
       (197*t[88])/96 - (29*t[89])/96 + t[97]/6 + 5*t[98] - 4*t[99] - 
       t[100]/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*
      ((455*t[1])/72 + (15*t[2])/8 + (155*t[3])/96 - (119*t[4])/96 - 
       (1193*t[5])/48 - (1885*t[6])/192 + (5057*t[7])/192 - (1737*t[8])/64 + 
       (7481*t[9])/96 - (20149*t[10])/192 + (14723*t[11])/192 + 
       (1621*t[12])/32 + (5501*t[13])/96 - (587*t[14])/24 - 
       (14041*t[15])/1152 + t[17]/2 + t[18] - (5*t[19])/9 - 3*t[20] - 
       (5*t[21])/2 + (5*t[22])/2 + (5*t[23])/2 - 3*t[24] - (2*t[25])/3 - 
       (4*t[26])/3 + (7*t[27])/6 + 4*t[28] - t[29] + t[30]/2 - 
       (77*t[31])/24 + (7*t[32])/6 - (10*t[33])/3 + 12*t[34] - t[35] - 
       (17*t[36])/3 - (9*t[37])/2 - t[38]/3 + (5*t[39])/2 - 5*t[40] - 
       (17*t[41])/4 + (19*t[42])/4 - (1193*t[43])/192 - (43*t[44])/6 - 
       (623*t[45])/24 + (77*t[46])/12 + (245*t[47])/4 - (1141*t[48])/192 - 
       (2329*t[49])/96 + (2203*t[50])/192 + (1349*t[51])/192 - 
       (521*t[52])/64 + (1577*t[53])/96 - (1453*t[54])/64 + (2*t[58])/3 - 
       (59*t[59])/72 + (1169*t[60])/32 + (2563*t[61])/48 - (337*t[62])/8 - 
       (3307*t[63])/48 + (5135*t[64])/48 + (6815*t[65])/72 - (583*t[66])/6 - 
       2*t[68] + (5*t[69])/4 + (5*t[72])/4 + (7*t[73])/2 + (7*t[74])/3 + 
       t[75]/2 - (23*t[76])/6 - (59*t[77])/12 - (5*t[78])/6 - 
       (217*t[79])/24 + (737*t[80])/8 + (199*t[81])/48 + (97*t[82])/48 - 
       (175*t[83])/24 + (1105*t[84])/48 + (3007*t[85])/96 + (2873*t[86])/48 - 
       (691*t[87])/96 + (191*t[88])/64 + (1529*t[89])/64 - (16*t[95])/3 - 
       8*t[96] - (5*t[97])/3 + 4*t[99] - t[100]/4) + 
     HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]^2*(t[1]/96 - t[3]/24 + (59*t[4])/48 - 
       (45*t[5])/32 - (25*t[6])/96 - (51*t[7])/64 - (137*t[8])/192 + 
       (29*t[9])/48 + (69*t[10])/64 - (115*t[11])/96 + (43*t[12])/96 - 
       (211*t[13])/432 - (143*t[14])/1152 - (37*t[15])/96 - (35*t[43])/96 - 
       t[46]/32 - t[48]/32 + t[49]/24 + t[50]/96 + t[51]/384 - t[52]/96 - 
       t[53]/24 - (5*t[54])/96 + t[59]/32 - (7*t[60])/48 - (91*t[61])/48 + 
       (253*t[62])/96 + (41*t[63])/32 - (397*t[64])/96 - (9*t[65])/16 + 
       (203*t[66])/72 - t[74]/16 - (5*t[79])/16 - (13*t[80])/8 - t[83]/24 - 
       t[84]/16 + t[85]/16 - (137*t[86])/48 - (7*t[87])/48 - (7*t[88])/96 - 
       (5*t[89])/32 + t[100]/4) + HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - v]*
      ((-7*t[1])/60 + (35*t[3])/48 - (89*t[4])/48 + (17*t[5])/8 - 
       (101*t[6])/96 + (49*t[7])/32 + (175*t[8])/96 - (2*t[9])/3 - 
       (15*t[10])/32 + (127*t[11])/96 - (7*t[12])/8 + (613*t[13])/432 - 
       (77*t[14])/144 - (5*t[15])/64 - t[31]/4 + (11*t[43])/96 - t[46]/8 + 
       (5*t[48])/32 + t[49]/3 + (23*t[50])/96 - (7*t[51])/96 - 
       (23*t[52])/96 - t[53]/3 - (7*t[54])/96 + (11*t[59])/30 + 
       (25*t[60])/48 + (53*t[61])/24 - (391*t[62])/48 - (53*t[63])/16 + 
       (341*t[64])/48 + (91*t[65])/36 - (161*t[66])/36 - t[74]/4 + t[79] - 
       t[81]/8 + t[82]/8 + (5*t[83])/12 + t[84]/8 - (9*t[85])/16 + 
       (187*t[86])/24 + (7*t[87])/48 + (7*t[88])/96 - (17*t[89])/32 + 
       t[100]/2) + HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - w]*
      (t[2]/12 - (83*t[3])/48 - (65*t[4])/48 - (29*t[5])/12 - (61*t[6])/48 + 
       (9*t[7])/2 + (145*t[8])/48 + (171*t[9])/32 - (107*t[10])/96 + 
       (167*t[11])/48 + (77*t[12])/32 + (1025*t[13])/864 + (307*t[14])/192 - 
       (353*t[15])/288 - t[18]/12 - t[23]/3 - t[24]/3 - t[31]/3 + t[41]/12 - 
       (3*t[42])/8 - (19*t[43])/16 + (97*t[45])/48 + (5*t[47])/24 - t[48]/6 - 
       (19*t[49])/96 + (2*t[50])/3 + (19*t[51])/192 - (2*t[52])/3 + 
       (19*t[53])/96 + t[54]/16 + (11*t[59])/30 + (25*t[60])/48 + 
       (53*t[61])/24 - (391*t[62])/48 - (53*t[63])/16 + (341*t[64])/48 + 
       (91*t[65])/36 - (161*t[66])/36 - t[74]/4 + t[79] - t[81]/8 + t[82]/8 + 
       (5*t[83])/12 + t[84]/8 - (9*t[85])/16 + (187*t[86])/24 + 
       (7*t[87])/48 + (7*t[88])/96 - (17*t[89])/32 + t[100]/2) + 
     HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - w]*((9*t[1])/80 - t[3]/12 + 
       (59*t[4])/24 - (45*t[5])/16 - (25*t[6])/48 - (51*t[7])/32 - 
       (137*t[8])/96 + (29*t[9])/24 + (69*t[10])/32 - (115*t[11])/48 + 
       (43*t[12])/48 - (235*t[13])/216 - (143*t[14])/576 - (37*t[15])/48 - 
       (35*t[43])/48 - t[46]/16 - t[48]/16 + t[49]/12 + t[50]/48 + 
       t[51]/192 - t[52]/48 - t[53]/12 - (5*t[54])/48 + (13*t[59])/240 - 
       (7*t[60])/24 - (91*t[61])/24 + (253*t[62])/48 + (41*t[63])/16 - 
       (397*t[64])/48 - (9*t[65])/8 + (211*t[66])/36 - t[74]/8 - 
       (5*t[79])/8 - (13*t[80])/4 - t[83]/12 - t[84]/8 + t[85]/8 - 
       (137*t[86])/24 - (7*t[87])/24 - (7*t[88])/48 - (5*t[89])/16 + 
       t[100]/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((-3*t[1])/8 - t[2]/6 - (35*t[3])/96 + t[4]/2 - (73*t[5])/64 + 
       (23*t[6])/64 + (11*t[7])/96 + (7*t[8])/16 + (265*t[9])/192 + 
       (61*t[10])/48 - (29*t[11])/192 + (49*t[12])/64 + (17*t[13])/64 + 
       (95*t[14])/288 - (215*t[15])/384 + t[31]/8 + t[41]/24 - t[42]/24 - 
       (11*t[43])/48 + (23*t[45])/96 - (5*t[46])/48 + t[47]/48 - 
       (13*t[48])/64 + (17*t[49])/96 - (23*t[50])/192 - t[51]/96 + 
       (23*t[52])/192 - (17*t[53])/96 + (19*t[54])/192 - t[59]/8 + 
       (5*t[60])/24 - t[61]/8 - (65*t[62])/48 - (47*t[63])/48 + 
       (17*t[64])/16 + (79*t[65])/144 - (89*t[66])/48 - t[74]/6 + t[79]/2 - 
       (13*t[80])/24 + t[81]/12 - t[82]/12 + t[83]/6 - t[84]/12 + 
       (5*t[85])/24 + (13*t[86])/12 - t[87]/24 - t[88]/48 + (3*t[89])/16 + 
       t[100]/2) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]^2*
      ((7*t[2])/12 - (79*t[3])/24 - (113*t[4])/48 - (191*t[5])/48 - 
       (37*t[6])/48 + (13*t[7])/2 + (229*t[8])/48 + (277*t[9])/32 - 
       (119*t[10])/96 + (139*t[11])/24 + (135*t[12])/32 + (407*t[13])/216 + 
       (1577*t[14])/576 - (695*t[15])/288 - t[18]/12 - (5*t[23])/6 - 
       (5*t[24])/6 - (5*t[31])/6 + t[41]/3 - (7*t[42])/8 - (35*t[43])/16 + 
       (163*t[45])/48 + (11*t[47])/24 + (13*t[48])/48 - (19*t[49])/96 + 
       (47*t[50])/48 + (19*t[51])/192 - (47*t[52])/48 + (19*t[53])/96 + 
       t[54]/4 + (5*t[59])/8 + (37*t[60])/48 + (16*t[61])/3 - (107*t[62])/8 - 
       (23*t[63])/4 + (295*t[64])/24 + (115*t[65])/18 - (211*t[66])/36 - 
       t[69]/2 + t[70]/4 - t[71]/4 - t[74]/4 + 2*t[79] - t[81]/8 + t[82]/8 + 
       (19*t[83])/24 + (3*t[84])/8 - (13*t[85])/16 + (253*t[86])/24 + 
       (43*t[87])/48 + (43*t[88])/96 + (15*t[89])/32 + t[100]/2) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      ((43*t[1])/48 - t[2]/12 - (299*t[3])/384 - (227*t[4])/96 + 
       (1517*t[5])/768 - (119*t[6])/48 + (27*t[7])/64 - (13*t[8])/4 - 
       (1955*t[9])/768 - (895*t[10])/192 + (271*t[11])/384 - 
       (2129*t[12])/768 - (503*t[13])/1152 - (199*t[14])/2304 + 
       (7985*t[15])/4608 + t[18]/12 - t[20]/12 + t[21]/12 - (2*t[22])/3 - 
       t[23]/12 - t[24]/6 - t[25]/6 + t[26]/12 - (7*t[29])/24 + t[30]/8 - 
       (7*t[31])/12 - t[32]/3 + t[33]/4 + (11*t[34])/24 + t[36]/8 - 
       t[38]/24 - t[39]/4 + (7*t[40])/24 - (5*t[41])/48 + (7*t[42])/48 + 
       (189*t[43])/128 + t[44]/24 - (41*t[45])/48 + (11*t[46])/48 - t[47]/8 + 
       (67*t[48])/192 - (55*t[49])/192 + (59*t[50])/192 + (125*t[51])/384 - 
       (33*t[52])/64 + (55*t[53])/192 + (17*t[54])/64 + t[58]/24 + 
       (11*t[59])/24 - (15*t[60])/4 - (117*t[61])/64 + (227*t[62])/384 - 
       (49*t[63])/128 + (1433*t[64])/384 + (283*t[65])/192 + (7*t[66])/192 - 
       t[69]/4 - (5*t[70])/12 + (5*t[71])/12 + t[72]/6 - t[73]/2 + t[74]/2 + 
       t[75]/4 + (13*t[76])/24 - t[77]/24 - (7*t[78])/24 - t[79] + 
       (247*t[80])/48 - t[81]/12 + (5*t[82])/6 + (5*t[83])/2 - (7*t[84])/12 - 
       (13*t[85])/12 + (69*t[86])/32 + (13*t[87])/4 + (13*t[88])/8 + 
       t[89]/12 + t[97]/12 + (5*t[98])/2 - (5*t[99])/2 + t[100]/2) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - w]*((-5*t[1])/144 + 
       (439*t[3])/288 - (2683*t[4])/288 + (1111*t[5])/96 - (859*t[6])/576 + 
       (1301*t[7])/192 + (3659*t[8])/576 - (863*t[9])/144 - 
       (2447*t[10])/192 + (4697*t[11])/576 - (139*t[12])/32 + 
       (10955*t[13])/2592 - (2351*t[14])/1728 + (3149*t[15])/1152 - 
       (3*t[31])/8 + (1729*t[43])/576 + (5*t[46])/24 + (47*t[48])/192 - 
       (41*t[49])/144 + (205*t[50])/576 - t[51]/72 - (205*t[52])/576 + 
       (41*t[53])/144 - (53*t[54])/576 + (67*t[59])/144 - (205*t[60])/288 + 
       (623*t[61])/72 - (6647*t[62])/288 - (1369*t[63])/96 + 
       (10867*t[64])/288 + (1987*t[65])/432 - (7429*t[66])/432 + 
       (5*t[74])/12 + (19*t[79])/8 + (533*t[80])/24 - (3*t[81])/16 + 
       (3*t[82])/16 + (23*t[83])/36 + (5*t[84])/24 - (83*t[85])/96 + 
       (4487*t[86])/144 + (521*t[87])/288 + (521*t[88])/576 + (5*t[89])/192 + 
       (2*t[100])/3) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^4*
      ((3*t[1])/32 - (17*t[2])/64 - t[3]/6 + (67*t[4])/24 - (851*t[5])/384 - 
       (67*t[6])/128 - t[7]/24 - (31*t[8])/192 + (319*t[9])/192 - 
       (161*t[10])/384 - (59*t[11])/96 + t[12]/2 + (2981*t[13])/6912 - 
       (2507*t[14])/2304 - (3923*t[15])/2304 - t[23]/24 - t[24]/24 - 
       (5*t[31])/12 + t[41]/12 - (11*t[42])/96 - (31*t[43])/96 - t[44]/4 - 
       (5*t[45])/64 - (5*t[46])/12 + (23*t[47])/32 - (19*t[48])/192 + 
       (37*t[49])/128 + (53*t[50])/192 + (11*t[51])/256 - (53*t[52])/192 - 
       (37*t[53])/128 - (11*t[54])/48 - t[59]/48 - (25*t[60])/64 - 
       (143*t[61])/96 - (253*t[62])/192 - (131*t[63])/192 + (79*t[64])/48 + 
       (3*t[65])/16 + (43*t[66])/36 - (13*t[74])/24 + (5*t[79])/16 - 
       (89*t[80])/48 - (13*t[81])/96 + (13*t[82])/96 + (3*t[83])/8 - 
       (7*t[84])/48 - (95*t[85])/192 + (79*t[86])/96 + (53*t[87])/64 + 
       (53*t[88])/128 + (131*t[89])/128 + (3*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      (-t[1]/16 + (127*t[2])/48 - (307*t[3])/192 - (65*t[4])/96 - 
       (1187*t[5])/384 - (1681*t[6])/576 + (99*t[7])/32 + (295*t[8])/96 + 
       (409*t[9])/384 + (457*t[10])/192 + (895*t[11])/96 + (1133*t[12])/384 + 
       (53*t[13])/18 + (583*t[14])/96 + (869*t[15])/2304 + (13*t[18])/72 - 
       t[19]/4 + t[20]/4 + t[23]/3 + (5*t[24])/6 - t[25]/4 + t[26]/4 + 
       t[27]/4 + t[28]/4 + t[30]/8 + (7*t[31])/12 + t[33]/4 + t[34]/4 - 
       t[37]/4 + t[38]/8 + (13*t[41])/16 + (13*t[42])/36 - (31*t[43])/192 + 
       t[44]/8 + (87*t[45])/32 + (3*t[46])/16 - (35*t[47])/16 - 
       (101*t[48])/192 - (127*t[49])/192 - (61*t[50])/192 + (145*t[51])/384 + 
       (13*t[52])/192 + (127*t[53])/192 + (107*t[54])/192 + t[58]/8 - 
       (115*t[59])/144 + (95*t[60])/24 + (2113*t[61])/96 - (461*t[62])/32 - 
       (31*t[63])/96 - (1217*t[64])/96 + (1891*t[65])/288 - 
       (7733*t[66])/288 - t[69]/2 + t[70]/4 - t[71]/4 + t[72]/2 - 
       (3*t[73])/8 - t[74]/3 - t[75]/8 + t[76]/8 + t[77]/4 - t[78]/8 - 
       (37*t[79])/24 - (77*t[80])/12 - t[81]/4 - t[82]/4 + (35*t[83])/24 + 
       t[84]/16 - (7*t[85])/16 - (37*t[86])/12 + (9*t[87])/16 + 
       (9*t[88])/32 + (151*t[89])/96 - (3*t[98])/2 + 2*t[99] + 
       (3*t[100])/4) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      (t[1]/48 + (475*t[2])/288 + (2747*t[3])/576 + (2567*t[4])/144 - 
       (9287*t[5])/1152 - (143*t[6])/96 - t[7]/48 - (1693*t[8])/144 + 
       (215*t[9])/128 - (7961*t[10])/576 - (5933*t[11])/576 - 
       (2609*t[12])/384 - (4381*t[13])/1296 - (421*t[14])/48 - 
       (47759*t[15])/6912 - t[18]/24 + t[22]/16 + (13*t[23])/36 + 
       (13*t[24])/36 - (7*t[31])/18 + t[34]/16 - (107*t[41])/72 + 
       (599*t[42])/288 - (109*t[43])/192 - t[44]/2 - (833*t[45])/288 - 
       (5*t[46])/6 + (647*t[47])/144 - (89*t[48])/288 + (485*t[49])/576 - 
       t[50]/288 - (53*t[51])/1152 + t[52]/288 - (485*t[53])/576 - 
       (7*t[54])/8 - (671*t[59])/288 + (19*t[60])/288 - (6749*t[61])/288 + 
       (4801*t[62])/576 - (1483*t[63])/192 - (2927*t[64])/576 - 
       (4805*t[65])/864 + (15527*t[66])/864 - (13*t[74])/12 - 3*t[77] - 
       (3*t[79])/8 - (13*t[80])/2 - (5*t[81])/48 + (5*t[82])/48 + 
       (7*t[83])/36 - (11*t[84])/24 - (23*t[85])/96 + (106*t[86])/9 + 
       (229*t[87])/288 + (229*t[88])/576 + (403*t[89])/64 + (5*t[100])/6) + 
     HPL[{1}, 1 - v]^2*M1[v, w, u]*(t[1]/12 + (61*t[3])/12 + (121*t[4])/24 - 
       (91*t[5])/16 - (299*t[6])/48 - (13*t[7])/16 - (395*t[8])/48 + 
       (161*t[9])/48 - (131*t[10])/16 + (91*t[11])/48 + (41*t[12])/16 - 
       (101*t[13])/216 - (353*t[14])/72 - (131*t[15])/24 - t[31]/2 + 
       t[40]/2 - (133*t[43])/48 - (5*t[45])/4 - t[46]/4 + (5*t[47])/2 - 
       (5*t[48])/16 + (13*t[49])/24 + (41*t[50])/48 - t[51]/12 - 
       (41*t[52])/48 - (13*t[53])/24 - (37*t[54])/48 + (3*t[59])/4 + 
       t[60]/24 + (11*t[61])/12 - (5*t[62])/3 + (3*t[63])/4 + (13*t[64])/12 + 
       (131*t[65])/36 - (41*t[66])/36 + t[72]/2 - t[74]/2 - t[77]/2 + 
       5*t[80] - t[81]/4 + t[82]/4 + t[83]/3 + t[84]/4 - (5*t[85])/8 - 
       (11*t[86])/12 - (29*t[87])/24 - (29*t[88])/48 - (81*t[89])/16 + 
       t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u]*
      (3*t[2] + (13*t[3])/3 - (7*t[4])/3 - (29*t[5])/4 - (193*t[6])/24 + 
       (21*t[7])/2 - (29*t[8])/3 + (91*t[9])/6 - 2*t[10] + (167*t[11])/24 + 
       (85*t[12])/12 + t[13]/216 + (31*t[14])/72 - (41*t[15])/6 - t[21] + 
       t[23] - t[41]/2 + t[42]/2 - (10*t[43])/3 + t[45]/2 + 5*t[47] - 
       (7*t[48])/8 + t[49]/6 + (31*t[50])/24 - t[51]/12 - (31*t[52])/24 - 
       t[53]/6 + t[54]/24 - (2*t[59])/3 - t[60]/12 + (221*t[61])/12 - 
       (249*t[62])/8 + (21*t[63])/8 + (29*t[64])/24 + (253*t[65])/36 - 
       (473*t[66])/36 + t[69] + (5*t[83])/6 + (3*t[84])/4 + t[85]/4 + 
       (49*t[86])/3 - (25*t[87])/12 - (25*t[88])/24 - (37*t[89])/8 + 
       t[100]) + HPL[{1}, 1 - w]^2*M1[v, u, w]*((-4*t[2])/3 + (19*t[3])/24 - 
       t[4]/12 + (17*t[5])/12 - (13*t[6])/12 - (3*t[7])/4 - (5*t[8])/6 - 
       (7*t[9])/4 + (41*t[10])/24 - (37*t[11])/24 - (9*t[12])/8 + 
       (167*t[13])/432 - (9*t[14])/16 + (223*t[15])/144 + t[23]/3 + t[24]/3 + 
       t[31]/3 - t[41]/3 + (2*t[42])/3 + t[45]/6 - (4*t[47])/3 - 
       (17*t[48])/24 + t[49]/24 + (5*t[50])/24 - t[51]/48 - (5*t[52])/24 - 
       t[53]/24 - (5*t[54])/8 - t[59]/6 - t[60]/12 - (55*t[61])/12 + 
       (65*t[62])/24 + (5*t[63])/8 - (133*t[64])/24 - (115*t[65])/36 + 
       (7*t[66])/36 + t[69] - t[70]/2 + t[71]/2 + t[83]/12 - t[84]/4 + 
       t[85]/4 - (2*t[86])/3 - (13*t[87])/12 - (13*t[88])/24 - (15*t[89])/8 + 
       t[100]) + HPL[{1}, 1 - w]^2*M1[v, w, u]*(t[2]/6 - (35*t[3])/24 - 
       (41*t[4])/24 - (4*t[5])/3 - (11*t[6])/12 + (11*t[7])/2 - (5*t[8])/24 + 
       (75*t[9])/16 + t[10]/48 + (11*t[11])/6 + (25*t[12])/16 - 
       (115*t[13])/432 + (77*t[14])/32 - (59*t[15])/144 - t[18]/6 + t[20]/2 - 
       t[23]/6 - t[24]/6 - t[31]/6 + t[32]/2 + t[34]/2 + t[41]/6 - 
       (3*t[42])/4 - (7*t[43])/8 + (31*t[45])/24 - t[47]/12 - (23*t[48])/24 - 
       (19*t[49])/48 + (29*t[50])/24 + (19*t[51])/96 - (29*t[52])/24 + 
       (19*t[53])/48 - t[54]/4 + (3*t[59])/4 + (55*t[60])/24 + (5*t[61])/12 - 
       (127*t[62])/24 - t[63]/8 - (25*t[64])/24 - (49*t[65])/36 + 
       (25*t[66])/36 - t[74]/2 - t[81]/4 + t[82]/4 + t[83]/3 - (7*t[85])/8 + 
       (61*t[86])/12 - (35*t[87])/24 - (35*t[88])/48 - (27*t[89])/16 + 
       t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      ((-25*t[2])/72 - (19*t[3])/24 - (25*t[4])/24 - (23*t[5])/24 - 
       (5*t[6])/8 + 4*t[7] + (11*t[8])/12 + (39*t[9])/8 - (55*t[10])/24 + 
       (29*t[11])/12 + (3*t[12])/2 + (709*t[13])/432 + (535*t[14])/432 - 
       (227*t[15])/216 - (5*t[18])/72 - t[23]/6 - t[24]/6 - t[31]/6 - t[35] - 
       t[41]/12 - t[43] - t[45]/12 + (13*t[47])/6 - (11*t[48])/24 + 
       t[49]/24 + (17*t[50])/24 - t[51]/48 - (17*t[52])/24 - t[53]/24 - 
       (5*t[54])/8 + (2*t[60])/3 - (3*t[61])/8 - 6*t[62] - (21*t[63])/4 + 
       (19*t[64])/3 + (23*t[65])/27 - (389*t[66])/108 + t[74]/2 + 
       (5*t[79])/4 + (13*t[80])/2 + t[83]/3 + (97*t[86])/12 - (5*t[87])/6 - 
       (5*t[88])/12 - t[89] + t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - w]*((-5*t[1])/36 + (19*t[3])/24 - (25*t[4])/24 + 
       (13*t[5])/8 - (4*t[6])/3 + t[7] + (4*t[8])/3 - (5*t[9])/8 - 
       (15*t[10])/8 + (3*t[11])/2 - (13*t[12])/36 + (3*t[13])/16 - 
       (13*t[14])/18 - t[15]/16 + (7*t[43])/24 + t[46]/4 - t[48]/8 + 
       t[49]/24 + t[50]/24 - (5*t[51])/24 - t[52]/24 - t[53]/24 + t[54]/24 + 
       (2*t[60])/3 - (3*t[61])/8 - 6*t[62] - (21*t[63])/4 + (19*t[64])/3 + 
       (23*t[65])/27 - (389*t[66])/108 + t[74]/2 + (5*t[79])/4 + 
       (13*t[80])/2 + t[83]/3 + (97*t[86])/12 - (5*t[87])/6 - (5*t[88])/12 - 
       t[89] + t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
      ((-9*t[1])/16 - (25*t[2])/48 - (59*t[3])/96 - (605*t[4])/96 + 
       (77*t[5])/192 - (295*t[6])/192 + (145*t[7])/32 + (259*t[8])/96 + 
       (125*t[9])/64 + (527*t[10])/96 + (365*t[11])/96 + (187*t[12])/64 + 
       (5119*t[13])/3456 + (2219*t[14])/576 + (1553*t[15])/1152 - t[18]/6 - 
       t[23]/6 - t[24]/6 + t[31]/12 - (13*t[41])/48 + (5*t[42])/48 - 
       (39*t[43])/32 + t[44]/2 + (221*t[45])/48 + t[46]/4 - (113*t[47])/24 - 
       (53*t[48])/96 + (5*t[49])/48 + (59*t[50])/96 + t[51]/96 - 
       (59*t[52])/96 - (5*t[53])/48 - (21*t[54])/32 - t[59]/6 + 
       (71*t[60])/48 + (215*t[61])/48 - (697*t[62])/48 + (7*t[63])/4 + 
       (251*t[64])/96 + (241*t[65])/48 - (1391*t[66])/144 - (7*t[74])/4 + 
       (5*t[79])/4 - 6*t[80] + (3*t[81])/8 - (3*t[82])/8 + t[83]/3 + 
       (5*t[85])/16 + (91*t[86])/12 - (55*t[87])/48 - (55*t[88])/96 - 
       (27*t[89])/32 + t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w]*((3*t[1])/4 + (41*t[2])/32 - (11*t[3])/384 - 
       (13*t[4])/48 - (187*t[5])/768 - (319*t[6])/128 + (703*t[7])/128 + 
       (773*t[8])/384 + (2455*t[9])/768 - (27*t[10])/128 + (3995*t[11])/384 + 
       (319*t[12])/768 + (49663*t[13])/6912 + (2479*t[14])/768 + 
       (3539*t[15])/4608 + t[18]/6 + t[20]/6 + t[21]/6 - t[22]/6 - t[23]/6 + 
       t[24]/12 + t[26]/8 + t[27]/3 + t[28]/4 + (5*t[29])/24 + t[30]/4 - 
       (3*t[31])/4 + t[32]/6 + (19*t[34])/24 - (3*t[36])/8 - t[37]/4 - 
       t[38]/12 - t[40]/2 + (5*t[41])/48 - t[42]/48 - (65*t[43])/192 - 
       t[44]/6 + (37*t[45])/192 - t[46]/4 + (21*t[47])/32 - (19*t[48])/32 + 
       (181*t[49])/192 + (53*t[50])/32 - (37*t[51])/384 - (107*t[52])/96 - 
       (181*t[53])/192 - (21*t[54])/8 + t[58]/24 + t[59]/12 + 
       (239*t[60])/96 + (2335*t[61])/192 - (8257*t[62])/384 - 
       (773*t[63])/128 - (1483*t[64])/384 + (3271*t[65])/576 - 
       (4091*t[66])/192 - t[69]/2 - (7*t[70])/12 + (7*t[71])/12 + t[72]/3 - 
       (3*t[73])/8 - (3*t[74])/4 - t[75]/8 + (5*t[76])/24 + (5*t[77])/12 - 
       t[78]/12 - t[79]/2 + (137*t[80])/48 + (19*t[81])/48 - (31*t[82])/48 + 
       (73*t[83])/24 - (13*t[84])/24 + (47*t[85])/96 + (1129*t[86])/96 - 
       (67*t[87])/96 - (67*t[88])/192 - (307*t[89])/192 + t[97]/24 - t[98] + 
       2*t[99] + (9*t[100])/8) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^4*((-13*t[1])/32 - (205*t[2])/96 - (467*t[3])/192 - 
       (2069*t[4])/192 + (4205*t[5])/384 + (643*t[6])/128 - (267*t[7])/64 + 
       (3079*t[8])/192 - (951*t[9])/128 + (3359*t[10])/192 - 
       (103*t[11])/192 - (29*t[12])/128 + (30055*t[13])/6912 + 
       (6479*t[14])/1152 + (19313*t[15])/2304 - t[23]/12 - t[24]/12 + 
       t[31]/24 - (49*t[41])/96 - (11*t[42])/32 - (95*t[43])/64 + t[44]/4 + 
       (125*t[45])/96 + t[46]/8 - (173*t[47])/48 - (5*t[48])/192 + 
       (95*t[49])/96 + (11*t[50])/192 - (89*t[51])/192 - (11*t[52])/192 - 
       (95*t[53])/96 - (61*t[54])/64 + (3*t[59])/8 - (85*t[60])/96 + 
       (239*t[61])/96 - (319*t[62])/96 + (89*t[63])/16 - (1621*t[64])/192 + 
       (499*t[65])/96 + (211*t[66])/288 + t[69]/4 + t[72]/2 - (5*t[74])/8 - 
       t[77]/2 + t[79]/8 + 2*t[80] + (5*t[81])/16 - (5*t[82])/16 + 
       (7*t[83])/24 + (5*t[84])/16 + (33*t[85])/32 - (131*t[86])/24 - 
       (223*t[87])/96 - (223*t[88])/192 - (371*t[89])/64 + (5*t[100])/4) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - u]*((-23*t[2])/12 - (53*t[3])/32 - 
       (67*t[4])/32 - (33*t[5])/32 - (1291*t[6])/288 + (23*t[7])/16 - 
       (25*t[8])/32 - (35*t[9])/192 + (767*t[10])/64 + (25*t[11])/96 + 
       (185*t[12])/192 + (107*t[13])/1728 + (4805*t[14])/1152 + 
       (869*t[15])/288 - (31*t[18])/72 - t[23]/4 - t[24]/4 - t[31]/4 - 
       (7*t[41])/48 - (25*t[42])/144 - (175*t[43])/96 + (847*t[45])/96 - 
       (565*t[47])/48 - (89*t[48])/48 - (17*t[49])/64 + (107*t[50])/48 + 
       (17*t[51])/128 - (107*t[52])/48 + (17*t[53])/64 - (139*t[54])/96 + 
       (97*t[59])/144 + (269*t[60])/96 - (79*t[61])/16 - (9*t[62])/16 + 
       (115*t[63])/24 - (985*t[64])/48 + (17*t[65])/144 + (71*t[66])/48 + 
       t[69] - t[70]/2 + t[71]/2 - (31*t[74])/24 + (2*t[79])/3 - 
       (533*t[80])/24 - (3*t[81])/16 + (3*t[82])/16 + (3*t[83])/4 - 
       (21*t[85])/32 - (343*t[86])/48 - (257*t[87])/96 - (257*t[88])/192 - 
       (647*t[89])/192 + (3*t[100])/2) + HPL[{1}, 1 - w]^2*M1[w, u, v]*
      (-t[1]/4 - (27*t[3])/8 - 6*t[4] + (19*t[5])/8 - (5*t[6])/24 + 
       (65*t[7])/8 + (41*t[8])/4 + (75*t[9])/16 + (27*t[10])/4 + 
       (23*t[11])/4 + (17*t[12])/8 + (97*t[13])/36 + (41*t[14])/6 + 
       (5*t[15])/2 - t[18]/6 - t[23]/2 - t[24]/2 - t[31]/2 + t[41]/2 - 
       (11*t[42])/12 - (9*t[43])/4 + (17*t[45])/8 - (3*t[47])/4 - 
       (3*t[48])/8 + t[49]/4 + (9*t[50])/8 - t[51]/8 - (9*t[52])/8 - 
       t[53]/4 - t[54]/8 + (11*t[59])/12 + (5*t[60])/4 + (93*t[61])/8 - 
       (319*t[62])/16 + (23*t[63])/16 + (5*t[64])/16 + (125*t[65])/24 - 
       (157*t[66])/24 + t[69]/2 - t[74]/2 - t[81]/4 + t[82]/4 + (3*t[83])/4 + 
       (3*t[84])/8 - (3*t[85])/4 + (37*t[86])/4 - t[87] - t[88]/2 - 
       (9*t[89])/4 + (3*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*((3*t[1])/16 - (3*t[2])/16 + (9*t[3])/32 + 
       (21*t[4])/32 + (9*t[5])/64 - (49*t[6])/32 - t[7]/8 - (9*t[8])/32 - 
       (75*t[9])/64 - (9*t[10])/16 - (111*t[11])/64 - (45*t[12])/64 - 
       (157*t[13])/1152 - (305*t[14])/192 - (19*t[15])/128 - (3*t[31])/8 - 
       t[41]/16 + t[42]/16 - t[43]/8 + (23*t[45])/32 - t[46]/16 - 
       (23*t[47])/16 + (9*t[48])/64 + (3*t[49])/16 + (25*t[50])/64 - 
       (3*t[51])/64 - (25*t[52])/64 - (3*t[53])/16 - (17*t[54])/64 - 
       t[59]/4 - (9*t[60])/8 - (49*t[61])/8 + (9*t[62])/8 - (3*t[63])/2 + 
       (17*t[64])/16 - t[65] + (25*t[66])/6 - t[74]/2 + t[79]/2 - 
       (5*t[80])/4 - t[81]/4 + t[82]/4 + t[83]/2 - t[84]/4 - (5*t[85])/8 + 
       t[86] + (9*t[87])/8 + (9*t[88])/16 + (11*t[89])/16 + (3*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-11*t[1])/2 - t[2]/6 - (53*t[3])/12 - (97*t[4])/6 + (49*t[5])/12 + 
       (31*t[6])/24 + t[7] + (259*t[8])/12 + (27*t[9])/8 + (739*t[10])/24 + 
       (38*t[11])/3 + (43*t[12])/8 + (703*t[13])/432 + (685*t[14])/48 + 
       (433*t[15])/72 - t[18]/3 - t[23]/3 - t[24]/3 + (5*t[31])/3 - t[41]/6 - 
       t[42] - 3*t[43] + (103*t[45])/12 + t[46] - (37*t[47])/6 - 
       (7*t[48])/6 - (61*t[49])/24 - (5*t[50])/6 + (25*t[51])/48 + 
       (5*t[52])/6 + (61*t[53])/24 + (9*t[54])/4 + (5*t[59])/2 + 
       (73*t[60])/12 + (113*t[61])/6 - (175*t[62])/12 - (5*t[63])/4 + 
       (59*t[64])/12 + (251*t[65])/18 - (377*t[66])/18 + 3*t[74] + 4*t[79] + 
       3*t[80] + (3*t[81])/2 - (3*t[82])/2 - t[83]/3 + t[84]/2 + 
       (19*t[85])/4 + (79*t[86])/6 - (89*t[87])/12 - (89*t[88])/24 - 
       (77*t[89])/8 + 2*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^4*(-t[1]/4 - (29*t[2])/12 - (89*t[3])/48 - 
       (227*t[4])/48 + (875*t[5])/96 + (37*t[6])/12 - (7*t[7])/8 + 
       (329*t[8])/24 - (59*t[9])/16 + (1153*t[10])/96 + (65*t[11])/48 - 
       (31*t[12])/16 + (4907*t[13])/864 + (2653*t[14])/576 + 
       (3707*t[15])/576 + t[18]/12 + t[20]/4 - t[23]/12 - t[24]/12 - 
       (7*t[31])/12 + t[32]/4 + t[34]/4 - (5*t[41])/12 + (7*t[42])/24 - 
       2*t[43] - t[44]/2 - (11*t[45])/12 - t[46]/2 + t[47]/12 - 
       (23*t[48])/48 + (119*t[49])/96 + (41*t[50])/48 - (95*t[51])/192 - 
       (41*t[52])/48 - (119*t[53])/96 - 2*t[54] + t[59]/12 + (7*t[60])/48 + 
       (193*t[61])/48 - (661*t[62])/96 + (127*t[63])/32 - (1223*t[64])/96 + 
       t[65]/2 - (53*t[66])/72 + (3*t[69])/2 - t[70]/2 + t[71]/2 + t[72]/4 + 
       t[74]/4 - t[77]/4 + (23*t[80])/4 + t[81]/8 - t[82]/8 + (2*t[83])/3 + 
       t[84]/4 + (15*t[85])/16 - (11*t[86])/6 - (161*t[87])/48 - 
       (161*t[88])/96 - (187*t[89])/32 + 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2*
      ((-7*t[1])/12 + (3*t[2])/2 + (227*t[3])/48 + (101*t[4])/24 - 
       (325*t[5])/32 - (731*t[6])/96 + (23*t[7])/8 - (287*t[8])/24 + 
       (133*t[9])/12 - (13*t[10])/16 + (79*t[11])/96 + (731*t[12])/96 - 
       (1793*t[13])/432 - (95*t[14])/144 - (1207*t[15])/192 - t[21]/2 + 
       t[23]/2 + (3*t[31])/4 + t[40]/4 - t[41]/4 + t[42]/4 - (11*t[43])/3 + 
       t[44]/2 + t[45]/8 + (5*t[46])/8 + (9*t[47])/4 - (41*t[48])/32 + 
       (25*t[49])/48 + (53*t[50])/96 - (23*t[51])/48 - (53*t[52])/96 - 
       (25*t[53])/48 + (23*t[54])/96 + t[59]/12 + (7*t[60])/48 + 
       (193*t[61])/48 - (661*t[62])/96 + (127*t[63])/32 - (1223*t[64])/96 + 
       t[65]/2 - (53*t[66])/72 + (3*t[69])/2 - t[70]/2 + t[71]/2 + t[72]/4 + 
       t[74]/4 - t[77]/4 + (23*t[80])/4 + t[81]/8 - t[82]/8 + (2*t[83])/3 + 
       t[84]/4 + (15*t[85])/16 - (11*t[86])/6 - (161*t[87])/48 - 
       (161*t[88])/96 - (187*t[89])/32 + 2*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - v]*(-t[1]/2 + (35*t[3])/12 - 
       (89*t[4])/12 + (17*t[5])/2 - (101*t[6])/24 + (115*t[7])/24 + 
       (175*t[8])/24 - (8*t[9])/3 + (17*t[10])/8 + (127*t[11])/24 - 
       (7*t[12])/2 + (613*t[13])/108 - (77*t[14])/36 - (5*t[15])/16 - t[31] + 
       (11*t[43])/24 - t[46]/2 + (5*t[48])/8 + (4*t[49])/3 + (23*t[50])/24 - 
       (7*t[51])/24 - (23*t[52])/24 - (4*t[53])/3 - (7*t[54])/24 + 
       (3*t[59])/2 + (25*t[60])/12 + (53*t[61])/6 - (125*t[62])/4 - 
       (37*t[63])/4 + (341*t[64])/12 + (91*t[65])/9 - (185*t[66])/9 - t[74] + 
       4*t[79] - t[81]/2 + t[82]/2 + (5*t[83])/3 + t[84]/2 - (9*t[85])/4 + 
       (187*t[86])/6 + (7*t[87])/12 + (7*t[88])/24 - (17*t[89])/8 + 
       2*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - w]*
      (t[2]/3 - (83*t[3])/12 - (65*t[4])/12 - (41*t[5])/3 - (61*t[6])/12 + 
       18*t[7] + (145*t[8])/12 + (171*t[9])/8 - (107*t[10])/24 + 
       (167*t[11])/12 + (77*t[12])/8 + (1313*t[13])/216 + (307*t[14])/48 - 
       (401*t[15])/72 - t[18]/3 - (4*t[23])/3 - (4*t[24])/3 - (4*t[31])/3 + 
       t[41]/3 - (3*t[42])/2 - (19*t[43])/4 + (97*t[45])/12 + (5*t[47])/6 - 
       (2*t[48])/3 - (19*t[49])/24 + (8*t[50])/3 + (19*t[51])/48 - 
       (8*t[52])/3 + (19*t[53])/24 + t[54]/4 + (3*t[59])/2 + (25*t[60])/12 + 
       (53*t[61])/6 - (125*t[62])/4 - (37*t[63])/4 + (341*t[64])/12 + 
       (91*t[65])/9 - (185*t[66])/9 - t[74] + 4*t[79] - t[81]/2 + t[82]/2 + 
       (5*t[83])/3 + t[84]/2 - (9*t[85])/4 + (187*t[86])/6 + (7*t[87])/12 + 
       (7*t[88])/24 - (17*t[89])/8 + 2*t[100]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 0, 1}, 1 - u]*(t[1]/6 + (17*t[3])/12 - (17*t[4])/12 + 
       (7*t[5])/2 - (89*t[6])/24 + (19*t[7])/8 + (61*t[8])/24 - 
       (29*t[9])/12 - (19*t[10])/8 + (7*t[11])/24 - (29*t[12])/12 + 
       (229*t[13])/108 - (97*t[14])/72 - (5*t[15])/48 - t[31] + 
       (5*t[43])/24 - t[46]/2 + (5*t[48])/8 + (13*t[49])/12 + (23*t[50])/24 - 
       t[51]/6 - (23*t[52])/24 - (13*t[53])/12 - (19*t[54])/24 + 
       (3*t[59])/2 + (7*t[60])/12 - (7*t[61])/6 - (149*t[62])/12 - 
       (15*t[63])/4 + (101*t[64])/12 + (5*t[65])/2 - (23*t[66])/18 - t[74] - 
       t[81]/2 + t[82]/2 + (2*t[83])/3 - (7*t[85])/4 + (85*t[86])/6 + 
       t[87]/12 + t[88]/24 - (15*t[89])/8 + 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w]*
      (t[2]/3 + (5*t[3])/6 - (13*t[4])/6 + (31*t[5])/12 - (5*t[6])/12 - 
       t[7]/2 + (17*t[8])/6 - (7*t[9])/4 + (65*t[10])/12 - (73*t[11])/12 - 
       (3*t[12])/2 - (7*t[13])/54 - (11*t[14])/8 + (157*t[15])/72 - t[23]/3 - 
       t[24]/3 - t[31]/3 - (2*t[41])/3 + t[42]/3 - t[43] + t[45]/3 - 
       (8*t[47])/3 + t[48]/12 + t[49]/12 + (5*t[50])/12 - t[51]/24 - 
       (5*t[52])/12 - t[53]/12 - t[54]/4 - t[59]/3 - (8*t[60])/3 - 
       (32*t[61])/3 + (5*t[62])/3 - 3*t[63] - (10*t[64])/3 + (13*t[65])/9 + 
       (107*t[66])/9 + (2*t[83])/3 + (14*t[86])/3 + t[87]/3 + t[88]/6 - 
       (3*t[89])/2 + 2*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - w]*((11*t[2])/12 + t[3]/12 - t[4] - (17*t[5])/12 - 
       (2*t[6])/9 + (47*t[7])/12 + (47*t[8])/6 + (137*t[9])/24 - 
       (149*t[10])/12 + (17*t[11])/3 + (37*t[12])/12 + (683*t[13])/216 - 
       (49*t[14])/24 - (37*t[15])/12 + t[18]/3 - t[22]/3 + (2*t[23])/3 + 
       (2*t[24])/3 + (2*t[31])/3 - t[34]/3 - t[41]/6 + (17*t[42])/36 - 
       (7*t[43])/12 - (41*t[45])/12 + (17*t[47])/2 + (5*t[48])/6 + t[49]/12 - 
       (11*t[50])/6 - t[51]/24 + (11*t[52])/6 - t[53]/12 + t[54] - 
       (41*t[59])/36 - (7*t[60])/2 + (67*t[61])/12 - (275*t[62])/24 - 
       (79*t[63])/8 + (667*t[64])/24 + (16*t[65])/9 - (235*t[66])/18 + 
       t[74] + t[79] + (65*t[80])/3 - t[83]/3 - t[84]/2 + t[85]/2 + 
       (119*t[86])/6 + (11*t[87])/6 + (11*t[88])/12 - (13*t[89])/12 + 
       2*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*
      (-t[2]/6 - (17*t[3])/12 - (13*t[4])/6 - (5*t[5])/12 - (8*t[6])/3 + 
       (3*t[7])/2 + (49*t[8])/12 + (9*t[9])/4 + (19*t[10])/6 + 
       (11*t[11])/12 + (3*t[12])/2 + (587*t[13])/216 + (25*t[14])/24 + 
       (2*t[15])/9 - t[23]/3 - t[24]/3 - t[31]/3 - t[41]/6 + (5*t[42])/6 - 
       2*t[43] + (37*t[45])/12 - (13*t[47])/6 + t[48]/12 + t[49]/12 + 
       (5*t[50])/12 - t[51]/24 - (5*t[52])/12 - t[53]/12 - t[54]/4 - 
       (5*t[59])/6 - (2*t[60])/3 - (35*t[61])/12 - (125*t[62])/24 - 
       (37*t[63])/8 + (73*t[64])/24 + (59*t[65])/18 - (31*t[66])/9 + 
       2*t[79] + (2*t[83])/3 + (31*t[86])/6 + t[87]/3 + t[88]/6 - t[89] + 
       2*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[u, v, w]*
      (-t[1]/2 + (17*t[3])/12 + t[4]/12 - (3*t[5])/2 - (31*t[6])/12 - 
       t[7]/8 + (25*t[8])/24 + (41*t[9])/24 + (17*t[10])/8 - (13*t[11])/12 + 
       t[12] + t[13]/27 - (157*t[14])/72 - (79*t[15])/48 - (25*t[43])/24 - 
       t[48]/4 + t[49]/12 + t[50]/12 - t[51]/24 - t[52]/12 - t[53]/12 + 
       t[54]/12 - (5*t[59])/6 - (2*t[60])/3 - (35*t[61])/12 - 
       (125*t[62])/24 - (37*t[63])/8 + (73*t[64])/24 + (59*t[65])/18 - 
       (7*t[66])/9 + 2*t[79] + (2*t[83])/3 + (31*t[86])/6 + t[87]/3 + 
       t[88]/6 - t[89] + 2*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*((-5*t[1])/24 + (53*t[3])/48 + (31*t[4])/48 - 
       (13*t[5])/16 - (287*t[6])/96 + (9*t[7])/32 + (79*t[8])/96 + 
       (37*t[9])/48 + (33*t[10])/32 - (119*t[11])/96 + t[12]/16 + 
       (35*t[13])/216 - (257*t[14])/144 - (75*t[15])/64 - t[31]/4 - 
       (73*t[43])/96 - t[46]/8 - t[48]/32 + t[49]/3 + (29*t[50])/96 - 
       (7*t[51])/96 - (29*t[52])/96 - t[53]/3 - (13*t[54])/96 + t[59]/8 - 
       (17*t[60])/48 - (19*t[61])/6 - (107*t[62])/24 - 3*t[63] + 
       (19*t[64])/24 + (197*t[65])/72 + (139*t[66])/72 - t[74]/4 + t[79] - 
       t[81]/8 + t[82]/8 + (2*t[83])/3 - (7*t[85])/16 + (103*t[86])/24 + 
       (13*t[87])/48 + (13*t[88])/96 - (27*t[89])/32 + 2*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      (-t[2]/6 - (65*t[3])/48 - (119*t[4])/48 - (11*t[5])/48 - (61*t[6])/48 + 
       (19*t[7])/8 + (115*t[8])/48 + (77*t[9])/32 + (331*t[10])/96 - 
       (7*t[11])/48 + (45*t[12])/32 + (845*t[13])/864 + (233*t[14])/192 + 
       (25*t[15])/72 - t[18]/12 - t[23]/3 - t[24]/3 - t[31]/3 + t[41]/12 - 
       t[42]/8 - (27*t[43])/16 + (109*t[45])/48 - (43*t[47])/24 - t[48]/6 - 
       (13*t[49])/96 + (2*t[50])/3 + (13*t[51])/192 - (2*t[52])/3 + 
       (13*t[53])/96 - t[54]/16 + t[59]/8 - (17*t[60])/48 - (19*t[61])/6 - 
       (107*t[62])/24 - 3*t[63] + (19*t[64])/24 + (197*t[65])/72 + 
       (139*t[66])/72 - t[74]/4 + t[79] - t[81]/8 + t[82]/8 + (2*t[83])/3 - 
       (7*t[85])/16 + (103*t[86])/24 + (13*t[87])/48 + (13*t[88])/96 - 
       (27*t[89])/32 + 2*t[100]) + HPL[{1}, 1 - v]^2*M1[u, v, w]*
      ((-5*t[1])/12 + (19*t[3])/24 + (29*t[4])/24 - t[5]/8 - (139*t[6])/48 + 
       (11*t[7])/16 + (29*t[8])/48 - t[9]/6 - t[10]/16 - (67*t[11])/48 - 
       (7*t[12])/8 - (5*t[13])/108 - (25*t[14])/18 - (67*t[15])/96 - 
       t[31]/2 - (23*t[43])/48 - t[46]/4 + (3*t[48])/16 + (7*t[49])/12 + 
       (25*t[50])/48 - (5*t[51])/48 - (25*t[52])/48 - (7*t[53])/12 - 
       (17*t[54])/48 + (13*t[59])/12 - t[60]/24 - (41*t[61])/12 - 
       (89*t[62])/24 - (11*t[63])/8 - (35*t[64])/24 + (79*t[65])/36 + 
       (215*t[66])/36 - t[74]/2 - t[81]/4 + t[82]/4 + (2*t[83])/3 - 
       (7*t[85])/8 + (41*t[86])/12 + (5*t[87])/24 + (5*t[88])/48 - 
       (11*t[89])/16 + 2*t[100]) + HPL[{1}, 1 - w]^2*M1[u, v, w]*
      (-t[2]/6 - (31*t[3])/24 - (67*t[4])/24 - t[5]/24 - (7*t[6])/8 + 
       (13*t[7])/4 + (17*t[8])/24 + (41*t[9])/16 + (179*t[10])/48 - 
       (29*t[11])/24 + (21*t[12])/16 - (113*t[13])/432 + (133*t[14])/96 + 
       (17*t[15])/36 - t[18]/6 - t[23]/3 - t[24]/3 - t[31]/3 + t[41]/3 - 
       (13*t[42])/12 - (11*t[43])/8 + (35*t[45])/24 - (17*t[47])/12 - 
       (5*t[48])/12 - (17*t[49])/48 + (11*t[50])/12 + (17*t[51])/96 - 
       (11*t[52])/12 + (17*t[53])/48 + t[54]/8 + (13*t[59])/12 - t[60]/24 - 
       (41*t[61])/12 - (89*t[62])/24 - (11*t[63])/8 - (35*t[64])/24 + 
       (79*t[65])/36 + (215*t[66])/36 - t[74]/2 - t[81]/4 + t[82]/4 + 
       (2*t[83])/3 - (7*t[85])/8 + (41*t[86])/12 + (5*t[87])/24 + 
       (5*t[88])/48 - (11*t[89])/16 + 2*t[100]) + 
     HPL[{1}, 1 - w]^3*Omega2[v, w, u]*(-t[2]/6 - (17*t[3])/3 - 
       (65*t[4])/12 - (37*t[5])/6 - (8*t[6])/3 + 14*t[7] + (16*t[8])/3 + 
       (127*t[9])/8 - (5*t[10])/24 + (95*t[11])/12 + (57*t[12])/8 + 
       (113*t[13])/54 + (757*t[14])/144 - (109*t[15])/36 - t[18]/3 - 
       (4*t[23])/3 - (4*t[24])/3 - (4*t[31])/3 + (5*t[41])/6 - 2*t[42] - 
       (15*t[43])/4 + (16*t[45])/3 + t[47]/3 - (2*t[48])/3 - (19*t[49])/24 + 
       (8*t[50])/3 + (19*t[51])/48 - (8*t[52])/3 + (19*t[53])/24 + t[54]/4 + 
       2*t[59] + (25*t[60])/12 + (67*t[61])/12 - (541*t[62])/24 - 
       (61*t[63])/8 + (349*t[64])/24 + (17*t[65])/2 - (52*t[66])/9 - t[74] + 
       2*t[79] - t[81]/2 + t[82]/2 + (5*t[83])/3 + t[84]/2 - (9*t[85])/4 + 
       (56*t[86])/3 + (7*t[87])/12 + (7*t[88])/24 - (5*t[89])/8 + 2*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Nt[u, v, w]*(-t[1]/4 - (5*t[2])/12 - 
       t[3]/3 - t[4]/8 - (3*t[5])/2 - (3*t[6])/16 + (29*t[7])/24 + 
       (9*t[8])/8 + (11*t[9])/6 + (4*t[10])/3 + (13*t[11])/12 + (3*t[12])/2 + 
       (43*t[13])/32 - (23*t[14])/144 - t[15] - t[41]/12 + t[42]/12 - 
       (5*t[43])/12 + (19*t[45])/12 - t[46]/6 - (7*t[47])/6 - (3*t[48])/8 + 
       (5*t[49])/24 - t[50]/24 + t[51]/48 + t[52]/24 - (5*t[53])/24 - 
       t[54]/24 - t[59]/2 + (5*t[60])/6 - t[61]/2 - (65*t[62])/12 - 
       (47*t[63])/12 + (17*t[64])/4 + (79*t[65])/36 - (65*t[66])/12 - 
       (2*t[74])/3 + 2*t[79] - (13*t[80])/6 + t[81]/3 - t[82]/3 + 
       (2*t[83])/3 - t[84]/3 + (5*t[85])/6 + (13*t[86])/3 - t[87]/6 - 
       t[88]/12 + (3*t[89])/4 + 2*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((5*t[1])/9 - (5*t[2])/12 - 
       (181*t[3])/576 - (17*t[4])/24 + (1847*t[5])/1152 - (833*t[6])/576 + 
       (977*t[7])/192 - (463*t[8])/192 + (1217*t[9])/1152 - (45*t[10])/64 + 
       (545*t[11])/64 + (2473*t[12])/1152 + (26879*t[13])/10368 + 
       (18157*t[14])/3456 + (7337*t[15])/6912 + (5*t[18])/18 + (5*t[20])/18 + 
       (5*t[21])/18 - (5*t[22])/18 - (5*t[23])/18 + (7*t[24])/18 + 
       (5*t[27])/9 + (11*t[29])/36 + (5*t[30])/12 + t[31]/4 + (5*t[32])/18 + 
       (55*t[34])/36 - (7*t[36])/12 - (5*t[38])/36 - (5*t[40])/12 + t[41]/9 + 
       t[42]/36 - (145*t[43])/288 + (5*t[44])/36 + (7*t[45])/288 - t[46]/4 + 
       (11*t[47])/48 - (23*t[48])/16 + (127*t[49])/144 - (31*t[50])/144 - 
       (73*t[51])/288 + (11*t[52])/144 - (127*t[53])/144 - (163*t[54])/144 - 
       (5*t[58])/36 - t[59]/9 + (395*t[60])/72 + (4529*t[61])/288 - 
       (969*t[62])/64 + (409*t[63])/64 - (199*t[64])/64 + (2537*t[65])/864 - 
       (11291*t[66])/864 - t[69]/6 - (13*t[70])/18 + (13*t[71])/18 + 
       (5*t[72])/9 - (2*t[73])/3 - t[74]/2 + (2*t[75])/3 + (65*t[76])/36 + 
       (31*t[77])/36 - (35*t[78])/36 - (2*t[79])/3 + (587*t[80])/72 + 
       (11*t[81])/9 + (17*t[82])/18 - t[83]/9 - (47*t[84])/72 + 
       (211*t[85])/72 + (59*t[86])/144 - (421*t[87])/72 - (421*t[88])/144 - 
       (251*t[89])/144 + (5*t[97])/18 + (25*t[98])/3 - 10*t[99] + 2*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-3*t[1])/4 - t[2]/3 - (125*t[3])/48 - (161*t[5])/32 - (21*t[6])/32 + 
       (17*t[7])/48 + (7*t[8])/4 + (337*t[9])/96 + (127*t[10])/24 + 
       (115*t[11])/96 + (45*t[12])/32 - (79*t[13])/96 + (683*t[14])/144 - 
       (163*t[15])/192 - t[29]/2 + t[31]/4 - t[32]/2 + t[33]/2 - t[36]/2 - 
       t[39]/2 + t[40]/2 + t[41]/12 - t[42]/12 - (11*t[43])/24 + 
       (23*t[45])/48 + t[46]/24 - (11*t[47])/24 - (29*t[48])/32 + 
       (47*t[49])/48 - (47*t[50])/96 - (43*t[51])/48 + (47*t[52])/96 - 
       (47*t[53])/48 + (91*t[54])/96 - t[59]/4 + (7*t[60])/6 - (19*t[61])/4 - 
       (583*t[62])/48 - (229*t[63])/48 + (121*t[64])/8 - (131*t[65])/72 - 
       (217*t[66])/24 - t[74]/3 + t[75]/2 - (19*t[80])/12 + (11*t[81])/12 - 
       (23*t[82])/12 + (7*t[83])/3 - (13*t[84])/24 + (2*t[85])/3 + 
       (55*t[86])/6 - (7*t[87])/12 - (7*t[88])/24 + (17*t[89])/8 + t[99] + 
       2*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      (-t[1]/32 + (49*t[2])/96 + (353*t[3])/64 + (2035*t[4])/192 - 
       (2071*t[5])/128 - (3377*t[6])/384 - (199*t[7])/192 - (2293*t[8])/192 + 
       (1675*t[9])/128 - (877*t[10])/192 - (25*t[11])/96 + (3275*t[12])/384 - 
       (20861*t[13])/6912 - (757*t[14])/128 - (8015*t[15])/768 - t[21]/4 + 
       t[23]/4 - t[31]/4 + t[40]/2 - (13*t[41])/96 + (13*t[42])/96 - 
       (363*t[43])/64 - t[44]/4 - (43*t[45])/48 - (25*t[46])/48 + 
       (109*t[47])/24 - (35*t[48])/32 + (9*t[49])/16 + (25*t[50])/32 - 
       t[51]/64 - (25*t[52])/32 - (9*t[53])/16 - (21*t[54])/32 + t[59]/4 - 
       (71*t[60])/32 - (337*t[61])/96 - (27*t[62])/32 + (121*t[63])/24 - 
       (1621*t[64])/192 + (1051*t[65])/288 + (1945*t[66])/288 + t[69]/4 + 
       t[72]/2 - (23*t[74])/24 - t[77]/2 + t[79]/8 + (31*t[80])/24 - 
       t[81]/48 + t[82]/48 + (5*t[83])/8 + (7*t[84])/48 + (19*t[85])/96 - 
       (133*t[86])/24 - (37*t[87])/32 - (37*t[88])/64 - (339*t[89])/64 + 
       (9*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      ((2*t[1])/3 + (9*t[2])/4 + (13*t[3])/4 - (7*t[4])/8 - (49*t[5])/8 - 
       (273*t[6])/32 + (97*t[7])/16 - (153*t[8])/16 + (149*t[9])/16 - 
       (91*t[10])/16 + (115*t[11])/32 + (113*t[12])/24 - (203*t[13])/96 - 
       (137*t[14])/96 - (13*t[15])/3 - (3*t[21])/4 + (3*t[23])/4 - t[31]/2 - 
       (3*t[41])/8 + (3*t[42])/8 - (33*t[43])/16 + (3*t[45])/8 + t[46]/2 + 
       (15*t[47])/4 - (13*t[48])/32 - (3*t[49])/4 + (47*t[50])/32 - 
       (47*t[52])/32 + (3*t[53])/4 - (23*t[54])/32 - t[59]/6 - 
       (57*t[60])/16 + (99*t[61])/16 - (1367*t[62])/96 + (89*t[63])/32 - 
       (77*t[64])/32 + (329*t[65])/144 + (85*t[66])/48 + (3*t[69])/4 + 
       t[74] - (3*t[79])/2 + (13*t[80])/2 - t[81]/4 + t[82]/4 + (3*t[83])/8 + 
       (3*t[84])/16 - (5*t[85])/16 + (17*t[86])/2 + (7*t[87])/16 + 
       (7*t[88])/32 - (111*t[89])/32 + (9*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((-3*t[1])/8 + (15*t[2])/8 - (3*t[3])/8 - (115*t[4])/16 + (83*t[5])/8 + 
       (91*t[6])/48 + (51*t[7])/16 + (269*t[8])/16 - (9*t[9])/2 + 
       (339*t[10])/32 - (5*t[11])/2 - (111*t[12])/32 + (239*t[13])/96 + 
       (2449*t[14])/576 + (41*t[15])/6 + t[18]/3 + t[20]/4 + t[32]/4 + 
       t[34]/4 - t[41]/4 + t[42]/6 - (15*t[43])/16 - (25*t[45])/8 + 
       (3*t[47])/4 + (3*t[48])/4 + (19*t[49])/32 - (3*t[50])/4 - 
       (19*t[51])/64 + (3*t[52])/4 - (19*t[53])/32 + (17*t[54])/16 - 
       t[59]/6 - (57*t[60])/16 + (99*t[61])/16 - (1367*t[62])/96 + 
       (89*t[63])/32 - (77*t[64])/32 + (329*t[65])/144 + (85*t[66])/48 + 
       (3*t[69])/4 + t[74] - (3*t[79])/2 + (13*t[80])/2 - t[81]/4 + t[82]/4 + 
       (3*t[83])/8 + (3*t[84])/16 - (5*t[85])/16 + (17*t[86])/2 + 
       (7*t[87])/16 + (7*t[88])/32 - (111*t[89])/32 + (9*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((-7*t[1])/12 - t[2] - (167*t[3])/48 - (83*t[4])/8 + (643*t[5])/96 - 
       (325*t[6])/48 + (69*t[7])/16 - (15*t[8])/16 + (73*t[9])/96 + 
       (51*t[10])/8 + (65*t[11])/16 + (491*t[12])/96 + (3307*t[13])/864 + 
       (1483*t[14])/144 + (2149*t[15])/576 + (2*t[18])/3 + t[20]/6 + 
       (2*t[21])/3 - (2*t[22])/3 - (2*t[23])/3 + (4*t[24])/3 - t[26]/4 + 
       (4*t[27])/3 + t[28]/2 + t[29]/3 + t[30] + t[32]/6 + (37*t[34])/6 - 
       t[36] - (5*t[38])/6 - (3*t[40])/2 + (17*t[41])/12 - (13*t[42])/12 + 
       (55*t[43])/24 - (7*t[44])/6 - (85*t[45])/24 + (7*t[47])/4 - 
       (19*t[48])/4 + (137*t[49])/48 - t[50]/6 - (161*t[51])/96 + t[52]/3 - 
       (137*t[53])/48 + (35*t[54])/24 - (7*t[58])/12 + (3*t[59])/2 + 
       (217*t[60])/24 + (59*t[61])/12 - (281*t[62])/16 + (393*t[63])/16 - 
       (23*t[64])/8 + (589*t[65])/72 - (1027*t[66])/72 - (4*t[70])/3 + 
       (4*t[71])/3 + (5*t[72])/6 - 2*t[73] - t[74] + 2*t[75] + (47*t[76])/6 + 
       (8*t[77])/3 - (13*t[78])/3 + (127*t[80])/6 + (10*t[81])/3 + 
       (37*t[82])/6 + (17*t[83])/6 - (31*t[84])/24 + (203*t[85])/24 + 
       (31*t[86])/12 - (401*t[87])/24 - (401*t[88])/48 - (337*t[89])/48 + 
       (2*t[97])/3 + 44*t[98] - 49*t[99] + (9*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((11*t[1])/12 - t[2]/6 + (17*t[3])/48 - (37*t[4])/8 - (199*t[5])/96 - 
       (209*t[6])/16 + 19*t[7] - (691*t[8])/24 + (2645*t[9])/96 - 
       (383*t[10])/48 + (181*t[11])/24 + (757*t[12])/96 + (347*t[13])/432 + 
       (187*t[14])/48 - (327*t[15])/64 + (2*t[18])/3 - (2*t[20])/3 + 
       (2*t[21])/3 - (10*t[22])/3 - (2*t[23])/3 + (2*t[24])/3 - (4*t[25])/3 + 
       (5*t[26])/12 - t[29]/3 - t[30] + t[31]/3 - (7*t[32])/6 + 
       (37*t[34])/6 - t[36] - (5*t[38])/6 - t[40]/6 - t[41]/12 + 
       (5*t[42])/12 + (53*t[43])/48 + (4*t[44])/3 - (91*t[45])/12 - t[46]/6 + 
       (21*t[47])/2 - (295*t[48])/48 + (19*t[49])/16 + (63*t[50])/16 + 
       (11*t[51])/96 - (293*t[52])/48 - (19*t[53])/16 - (115*t[54])/48 + 
       t[58]/12 + (3*t[59])/2 + (217*t[60])/24 + (59*t[61])/12 - 
       (281*t[62])/16 + (393*t[63])/16 - (23*t[64])/8 + (589*t[65])/72 - 
       (1027*t[66])/72 - (4*t[70])/3 + (4*t[71])/3 + (5*t[72])/6 - 2*t[73] - 
       t[74] + 2*t[75] + (47*t[76])/6 + (8*t[77])/3 - (13*t[78])/3 + 
       (127*t[80])/6 + (10*t[81])/3 + (37*t[82])/6 + (17*t[83])/6 - 
       (31*t[84])/24 + (203*t[85])/24 + (31*t[86])/12 - (401*t[87])/24 - 
       (401*t[88])/48 - (337*t[89])/48 + (2*t[97])/3 + 44*t[98] - 49*t[99] + 
       (9*t[100])/4) + HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - v]*
      ((169*t[2])/288 - (1217*t[3])/288 - (1253*t[4])/288 - (1637*t[5])/288 - 
       (137*t[6])/96 + (489*t[7])/32 + (341*t[8])/36 + (3497*t[9])/192 - 
       (6641*t[10])/576 + (2585*t[11])/288 + (439*t[12])/64 + 
       (21047*t[13])/5184 + (1979*t[14])/1152 - (9149*t[15])/1728 - 
       (29*t[23])/36 - (29*t[24])/36 - (29*t[31])/36 + (59*t[41])/144 - 
       (203*t[42])/144 - (95*t[43])/32 - (347*t[45])/288 + (1493*t[47])/144 + 
       (29*t[48])/144 - (343*t[49])/576 + (145*t[50])/144 + 
       (343*t[51])/1152 - (145*t[52])/144 + (343*t[53])/576 + (95*t[54])/96 + 
       (197*t[59])/144 - (215*t[60])/288 + (209*t[61])/36 - 
       (7537*t[62])/288 - (493*t[63])/32 + (10517*t[64])/288 + 
       (2777*t[65])/432 - (5279*t[66])/432 + (19*t[79])/8 + (533*t[80])/24 - 
       (19*t[81])/48 + (19*t[82])/48 + (43*t[83])/36 + (5*t[84])/24 - 
       (51*t[85])/32 + (4897*t[86])/144 + (571*t[87])/288 + (571*t[88])/576 - 
       (35*t[89])/64 + (7*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((7*t[1])/6 - t[2]/3 + 
       (19*t[3])/4 + (91*t[4])/12 - t[5] - (317*t[6])/24 - (419*t[7])/24 - 
       (23*t[8])/24 - (71*t[9])/4 + (145*t[10])/24 - (745*t[11])/24 - 
       (7*t[12])/2 - (877*t[13])/54 - (145*t[14])/12 + (83*t[15])/48 + 
       2*t[21] - 2*t[23] + t[31] - (2*t[41])/3 + (2*t[42])/3 - (9*t[43])/8 + 
       2*t[44] - (7*t[45])/3 + (13*t[46])/6 - (16*t[47])/3 + (13*t[48])/8 + 
       t[49] - (11*t[50])/8 - (9*t[51])/8 + (11*t[52])/8 - t[53] + 
       (7*t[54])/8 - t[59]/2 - (35*t[60])/4 - (319*t[61])/6 + (293*t[62])/6 - 
       (55*t[63])/3 - (373*t[64])/12 - 6*t[65] + (1159*t[66])/18 - t[70] + 
       t[71] + (5*t[74])/3 + (32*t[80])/3 - (11*t[81])/6 + (11*t[82])/6 + 
       t[83]/2 - (2*t[84])/3 - (61*t[85])/12 - (169*t[86])/6 + (19*t[87])/4 + 
       (19*t[88])/8 - (39*t[89])/8 + 3*t[100]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1, 1}, 1 - w]*((-19*t[2])/12 - 2*t[3] - (59*t[4])/12 + 
       (41*t[5])/8 - (85*t[6])/12 + (67*t[7])/12 - (19*t[8])/6 + 
       (47*t[9])/12 + (79*t[10])/8 - (8*t[11])/3 + (35*t[12])/12 + 
       (7*t[13])/18 + (449*t[14])/144 + (47*t[15])/16 - t[18]/3 - t[21]/3 - 
       2*t[24] - t[35]/3 - t[37]/3 - t[41]/6 - (2*t[42])/3 - (11*t[43])/4 + 
       (35*t[45])/12 - (25*t[47])/6 - (7*t[48])/3 - (3*t[49])/8 + 
       (5*t[50])/2 + (3*t[51])/16 - (5*t[52])/2 + (3*t[53])/8 - (7*t[54])/4 + 
       (7*t[59])/6 - t[60]/4 - (40*t[61])/3 - 5*t[62] - (43*t[63])/6 - 
       (125*t[64])/12 + (7*t[65])/12 + (107*t[66])/12 + t[67]/6 + t[69] - 
       2*t[74] + 2*t[79] + 2*t[80] - t[81]/3 + t[82]/3 + (5*t[83])/2 - 
       t[84]/4 - (11*t[85])/12 + (19*t[86])/2 - (5*t[87])/4 - (5*t[88])/8 - 
       (31*t[89])/8 + 3*t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-2*t[1])/3 + t[2]/4 + (5*t[3])/2 + (27*t[4])/4 - (101*t[5])/24 - 
       (167*t[6])/24 - (13*t[7])/24 + (43*t[8])/24 + (49*t[9])/24 - 
       (47*t[10])/24 - (53*t[11])/8 - (23*t[12])/24 - (13*t[13])/18 - 
       (347*t[14])/72 - (43*t[15])/12 - (2*t[31])/3 - t[35]/3 - t[37]/3 - 
       (47*t[43])/24 - t[46] + (5*t[48])/24 + (9*t[49])/4 + (13*t[50])/24 - 
       (3*t[51])/8 - (13*t[52])/24 - (9*t[53])/4 - (3*t[54])/8 + 
       (7*t[59])/6 - t[60]/4 - (40*t[61])/3 - 5*t[62] - (43*t[63])/6 - 
       (125*t[64])/12 + (7*t[65])/12 + (107*t[66])/12 + t[67]/6 + t[69] - 
       2*t[74] + 2*t[79] + 2*t[80] - t[81]/3 + t[82]/3 + (5*t[83])/2 - 
       t[84]/4 - (11*t[85])/12 + (19*t[86])/2 - (5*t[87])/4 - (5*t[88])/8 - 
       (31*t[89])/8 + 3*t[100]) + HPL[{1}, 1 - v]^2*M1[w, u, v]*
      ((-5*t[1])/12 + (11*t[3])/8 + (31*t[4])/8 - (9*t[5])/4 - (67*t[6])/16 - 
       (17*t[7])/16 - (5*t[8])/16 + (5*t[9])/8 + (25*t[10])/16 - 
       (55*t[11])/16 + (7*t[12])/8 - (25*t[13])/24 - (65*t[14])/48 - 
       (173*t[15])/96 - t[31]/2 - (17*t[43])/16 - t[46]/4 + t[48]/16 + 
       (9*t[49])/8 + (9*t[50])/16 - (3*t[51])/8 - (9*t[52])/16 - 
       (9*t[53])/8 - (9*t[54])/16 + (11*t[59])/12 - t[60]/8 - 8*t[61] - 
       t[62] - (3*t[63])/4 - 7*t[64] - t[65] + (37*t[66])/6 + t[69] - 
       t[70]/2 + t[71]/2 - t[74]/2 - t[81]/4 + t[82]/4 + (3*t[83])/4 - 
       t[84]/4 - (5*t[85])/8 + (11*t[86])/4 - (7*t[87])/8 - (7*t[88])/16 - 
       (41*t[89])/16 + 3*t[100]) + HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - v]*
      ((-11*t[1])/24 + 3*t[3] - (31*t[4])/4 + (211*t[5])/24 - (221*t[6])/48 + 
       (161*t[7])/24 + (185*t[8])/24 - 3*t[9] - (11*t[10])/8 + 
       (223*t[11])/48 - (29*t[12])/8 + (415*t[13])/72 - (367*t[14])/144 - 
       (37*t[15])/144 - (7*t[31])/6 + t[35]/3 + (5*t[43])/12 - t[46]/2 + 
       (31*t[48])/48 + (4*t[49])/3 + (55*t[50])/48 - (7*t[51])/24 - 
       (55*t[52])/48 - (4*t[53])/3 - (23*t[54])/48 + (37*t[59])/24 + 
       (37*t[60])/24 + (89*t[61])/12 - (541*t[62])/16 - (689*t[63])/48 + 
       (477*t[64])/16 + (385*t[65])/36 - (103*t[66])/6 - t[74] + 
       (25*t[79])/6 - (2*t[80])/3 - (7*t[81])/12 + (7*t[82])/12 + 
       (11*t[83])/6 + (5*t[84])/12 - (59*t[85])/24 + (203*t[86])/6 + 
       (23*t[87])/24 + (23*t[88])/48 - (29*t[89])/16 + 3*t[100]) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - w]*(t[2]/2 - (41*t[3])/6 - 
       (139*t[4])/24 - (32*t[5])/3 - (45*t[6])/8 + (151*t[7])/8 + 
       (299*t[8])/24 + (89*t[9])/4 - (199*t[10])/48 + (107*t[11])/8 + 
       (159*t[12])/16 + (38*t[13])/9 + (1741*t[14])/288 - (127*t[15])/24 - 
       t[18]/3 - (4*t[23])/3 - (4*t[24])/3 - (4*t[31])/3 + t[37]/3 + 
       (3*t[41])/8 - (37*t[42])/24 - (19*t[43])/4 + (47*t[45])/6 + 
       (5*t[47])/3 - (2*t[48])/3 - (43*t[49])/48 + (8*t[50])/3 + 
       (43*t[51])/96 - (8*t[52])/3 + (43*t[53])/48 + (11*t[54])/24 + 
       (37*t[59])/24 + (37*t[60])/24 + (89*t[61])/12 - (541*t[62])/16 - 
       (689*t[63])/48 + (477*t[64])/16 + (385*t[65])/36 - (103*t[66])/6 - 
       t[74] + (25*t[79])/6 - (2*t[80])/3 - (7*t[81])/12 + (7*t[82])/12 + 
       (11*t[83])/6 + (5*t[84])/12 - (59*t[85])/24 + (203*t[86])/6 + 
       (23*t[87])/24 + (23*t[88])/48 - (29*t[89])/16 + 3*t[100]) + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (-t[1]/16 - (23*t[2])/48 + (9*t[3])/32 + (595*t[4])/96 - 
       (431*t[5])/64 - (785*t[6])/192 + (29*t[7])/96 + (263*t[8])/96 + 
       (415*t[9])/64 + (359*t[10])/96 - (109*t[11])/48 + (539*t[12])/192 + 
       (5947*t[13])/3456 - (371*t[14])/192 - (645*t[15])/128 - t[31] - 
       t[41]/48 + t[42]/48 - (83*t[43])/32 - t[44]/2 + (11*t[45])/24 - 
       (31*t[46])/24 + (19*t[47])/12 + t[48]/16 + (13*t[49])/8 + 
       (9*t[50])/16 - (3*t[51])/32 - (9*t[52])/16 - (13*t[53])/8 - 
       (13*t[54])/16 - (5*t[59])/12 - (19*t[60])/16 - (361*t[61])/48 - 
       (153*t[62])/16 + (17*t[63])/24 + (251*t[64])/96 + (277*t[65])/144 + 
       (343*t[66])/144 - (29*t[74])/12 + (5*t[79])/4 - (89*t[80])/12 - 
       (7*t[81])/24 + (7*t[82])/24 + t[83] - t[84]/3 - (65*t[85])/48 + 
       (89*t[86])/12 + (19*t[87])/16 + (19*t[88])/32 + (5*t[89])/32 + 
       3*t[100]) + B7[v, w, u]*HPL[{1}, 1 - v]*(t[3]/4 + t[4]/4 + 
       (11*t[5])/8 - (5*t[7])/4 - (7*t[8])/4 - (7*t[9])/8 - (7*t[10])/8 + 
       t[11]/4 - (3*t[12])/2 - t[13]/4 - (53*t[14])/48 + t[15]/16 + t[49]/8 - 
       t[51]/16 - t[53]/8 - (3*t[54])/4 - t[59]/2 - t[60]/4 - (3*t[61])/4 + 
       (31*t[62])/8 + (13*t[63])/8 - (9*t[64])/8 + (11*t[65])/12 + 
       (7*t[66])/4 - t[69] + t[70] - t[71] + t[84]/4 + (3*t[85])/4 - 
       4*t[86] - t[87]/4 - t[88]/8 + (5*t[89])/8 + 3*t[100]) + 
     B7[w, u, v]*HPL[{1}, 1 - w]*((3*t[2])/2 - (5*t[5])/8 + (7*t[6])/8 - 
       (3*t[7])/4 - (3*t[8])/4 - t[9]/8 - (3*t[10])/4 - (5*t[11])/8 - 
       (3*t[12])/8 - t[13]/4 + (7*t[14])/12 - (9*t[15])/16 - t[21] + 
       t[48]/8 + t[50]/8 - t[52]/8 + (7*t[54])/8 - t[59]/2 - t[60]/4 - 
       (3*t[61])/4 + (31*t[62])/8 + (13*t[63])/8 - (9*t[64])/8 + 
       (11*t[65])/12 + (7*t[66])/4 - t[69] + t[70] - t[71] + t[84]/4 + 
       (3*t[85])/4 - 4*t[86] - t[87]/4 - t[88]/8 + (5*t[89])/8 + 3*t[100]) + 
     B8[w, u, v]*HPL[{1}, 1 - w]*((9*t[2])/4 - t[4] - (3*t[5])/8 - 
       (5*t[6])/4 + (5*t[7])/4 + (11*t[8])/4 + (11*t[9])/8 - (19*t[10])/4 + 
       (7*t[11])/4 - t[12]/8 - (13*t[13])/36 - (35*t[14])/24 - 
       (29*t[15])/16 - t[21] - t[31] - t[45] + 3*t[47] + (3*t[48])/2 + 
       t[50]/2 - t[52]/2 + t[54]/2 - t[59]/2 - 3*t[60] + t[61]/2 - 3*t[62] - 
       4*t[63] + (47*t[64])/4 + (55*t[65])/12 + (35*t[66])/12 - t[69] + 
       t[70] - t[71] + t[74] + 4*t[80] - t[81]/2 + t[82]/2 + t[84]/4 - 
       t[85] + 6*t[86] + (5*t[87])/2 + (5*t[88])/4 + (5*t[89])/4 + 
       3*t[100]) + B8[v, w, u]*HPL[{1}, 1 - v]*((3*t[2])/4 + t[3]/4 - 
       (11*t[4])/2 + (31*t[5])/8 + t[6]/2 + (9*t[7])/4 + (11*t[8])/4 - 
       (13*t[9])/8 - (5*t[10])/2 + t[11]/2 - (11*t[12])/8 - (7*t[13])/36 - 
       (43*t[14])/24 + (55*t[15])/48 + t[43]/2 + t[46]/2 - (5*t[49])/4 + 
       t[51]/4 + (5*t[53])/4 + t[54] - t[59]/2 - 3*t[60] + t[61]/2 - 
       3*t[62] - 4*t[63] + (47*t[64])/4 + (55*t[65])/12 + (35*t[66])/12 - 
       t[69] + t[70] - t[71] + t[74] + 4*t[80] - t[81]/2 + t[82]/2 + 
       t[84]/4 - t[85] + 6*t[86] + (5*t[87])/2 + (5*t[88])/4 + (5*t[89])/4 + 
       3*t[100]) + HPL[{0, 1}, 1 - v]*M1[v, w, u]*((17*t[1])/12 - 
       (35*t[2])/12 + (185*t[3])/48 + (27*t[4])/8 + (1229*t[5])/96 + 5*t[6] - 
       (501*t[7])/16 + (913*t[8])/48 - (4177*t[9])/96 + (65*t[10])/24 - 
       (383*t[11])/24 - (1799*t[12])/96 - (3893*t[13])/864 - (671*t[14])/48 + 
       (5183*t[15])/576 - t[18]/3 + t[20]/3 - t[21]/3 + (11*t[22])/3 + 
       t[23]/3 - (4*t[24])/3 + (2*t[25])/3 - t[26]/3 + (2*t[29])/3 + t[30] - 
       (5*t[31])/3 + t[32]/3 + t[33] - (19*t[34])/3 + t[36] + (7*t[38])/6 - 
       t[39] + (7*t[40])/3 - (19*t[41])/12 + (17*t[42])/12 - (17*t[43])/24 - 
       (7*t[44])/6 + (187*t[45])/24 + (13*t[46])/12 - (59*t[47])/4 + 
       (305*t[48])/48 - (7*t[49])/16 - (77*t[50])/16 - t[51]/96 + 
       (247*t[52])/48 + (7*t[53])/16 + (41*t[54])/48 - t[58]/6 - 
       (5*t[59])/2 - (101*t[60])/6 - (1067*t[61])/24 + (639*t[62])/16 - 
       (439*t[63])/16 + (235*t[64])/16 - (323*t[65])/72 + (3287*t[66])/72 - 
       t[69] - t[70]/3 + t[71]/3 + t[72]/3 + 2*t[73] + 2*t[74] - 2*t[75] - 
       (31*t[76])/6 - (13*t[77])/3 + (8*t[78])/3 - (95*t[80])/6 - 
       (19*t[81])/6 - (7*t[82])/3 - (11*t[83])/3 - (5*t[84])/12 - 
       (101*t[85])/12 - (29*t[86])/12 + (215*t[87])/12 + (203*t[88])/24 + 
       (59*t[89])/12 - t[97]/3 - 28*t[98] + 30*t[99] + 3*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-35*t[1])/6 - (47*t[2])/12 - (77*t[3])/8 - (223*t[4])/12 - 
       (1099*t[5])/48 - (49*t[6])/12 + (241*t[7])/24 + (995*t[8])/24 - 
       (205*t[9])/48 + (61*t[10])/4 + (125*t[11])/4 + (515*t[12])/16 + 
       (221*t[13])/144 + (523*t[14])/36 + (451*t[15])/32 + t[16] + 
       (2*t[18])/3 - (2*t[20])/3 + (2*t[21])/3 + (8*t[22])/3 - (2*t[23])/3 - 
       (4*t[24])/3 + (16*t[25])/3 + (20*t[26])/3 + t[27]/3 - (4*t[29])/3 + 
       4*t[30] - (14*t[31])/3 - (2*t[32])/3 - (16*t[34])/3 + (4*t[36])/3 - 
       7*t[37] - 9*t[38] - t[39]/2 + 2*t[40] + (7*t[41])/6 - (5*t[42])/6 - 
       (11*t[43])/4 + (4*t[44])/3 + (15*t[45])/4 + (19*t[46])/3 + 
       (11*t[47])/6 + (57*t[48])/8 - (153*t[49])/8 + (21*t[50])/8 - 
       (33*t[51])/16 - (37*t[52])/8 + (105*t[53])/8 - (29*t[54])/24 + 
       t[58]/3 + (35*t[59])/6 - (125*t[60])/4 + (172*t[61])/3 - 
       (477*t[62])/8 - (797*t[63])/24 + (139*t[64])/2 + 56*t[65] + 
       (1277*t[66])/36 - t[67]/2 + (5*t[68])/6 + 2*t[69] - (2*t[70])/3 + 
       (2*t[71])/3 + (13*t[72])/3 + 4*t[73] + (5*t[74])/3 - 4*t[75] - 
       (137*t[76])/6 - (13*t[77])/3 + 23*t[78] - 4*t[79] + 8*t[80] - 
       (38*t[81])/3 - 3*t[82] + (28*t[83])/3 + (61*t[84])/12 - 
       (229*t[85])/6 + (253*t[86])/6 + (185*t[87])/3 + (301*t[88])/6 + 
       (211*t[89])/24 - (5*t[90])/6 - (16*t[95])/3 - (23*t[96])/3 + t[97]/3 - 
       144*t[98] + 132*t[99] + 3*t[100]) + HPL[{1}, 1 - v]^4*
      HPL[{0, 1, 1}, 1 - u]*((-43*t[1])/48 + (523*t[3])/288 + 
       (2009*t[4])/288 - (209*t[5])/32 - (2869*t[6])/576 - (517*t[7])/192 - 
       (451*t[8])/576 + (1253*t[9])/288 + (2423*t[10])/192 - 
       (3841*t[11])/576 + (223*t[12])/96 - (133*t[13])/2592 - 
       (823*t[14])/864 - (5099*t[15])/1152 - (19*t[31])/24 - 
       (1979*t[43])/576 - (41*t[46])/48 + (19*t[48])/64 + (355*t[49])/144 + 
       (475*t[50])/576 - (341*t[51])/576 - (475*t[52])/576 - 
       (355*t[53])/144 - (323*t[54])/576 + (227*t[59])/144 + 
       (797*t[60])/288 - (1121*t[61])/144 - (263*t[62])/72 + (175*t[63])/48 - 
       (1565*t[64])/72 + (841*t[65])/432 + (2789*t[66])/432 + t[69] - 
       t[70]/2 + t[71]/2 - (41*t[74])/24 + (2*t[79])/3 - (533*t[80])/24 - 
       (19*t[81])/48 + (19*t[82])/48 + (47*t[83])/36 - (133*t[85])/96 - 
       (619*t[86])/144 - (721*t[87])/288 - (721*t[88])/576 - 
       (757*t[89])/192 + (19*t[100])/6) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*((5*t[1])/3 - (5*t[2])/8 + (137*t[3])/48 + 
       (329*t[4])/24 - (55*t[5])/16 - (707*t[6])/96 - (357*t[7])/32 - 
       (131*t[8])/96 - (163*t[9])/24 - (27*t[10])/32 - (395*t[11])/24 - 
       (81*t[12])/16 - (9419*t[13])/1728 - (323*t[14])/36 - (395*t[15])/192 + 
       t[21]/4 - t[23]/4 - (5*t[31])/4 - (157*t[43])/96 - t[44]/2 - 
       (17*t[45])/4 - (3*t[46])/8 + (3*t[47])/2 + (7*t[48])/16 + 
       (43*t[49])/48 + (55*t[50])/48 - (5*t[51])/12 - (55*t[52])/48 - 
       (43*t[53])/48 - (65*t[54])/48 + (11*t[59])/8 - (145*t[60])/24 - 
       (1565*t[61])/48 + (2425*t[62])/96 + (53*t[63])/32 - (1481*t[64])/96 - 
       (1397*t[65])/144 + (5531*t[66])/144 + t[69]/4 + (3*t[74])/4 - 
       2*t[79] + t[80]/4 - (13*t[81])/8 + (13*t[82])/8 + (13*t[83])/24 - 
       t[84]/16 - (27*t[85])/8 - (179*t[86])/24 + (17*t[87])/6 + 
       (17*t[88])/12 - (5*t[89])/2 + (7*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      (t[1]/2 - (23*t[2])/4 + (59*t[3])/8 - (37*t[4])/4 + (739*t[5])/32 - 
       (101*t[6])/48 - 20*t[7] - (53*t[8])/8 - (1097*t[9])/32 + 
       (105*t[10])/16 - (129*t[11])/16 - (465*t[12])/32 + (511*t[13])/96 - 
       (199*t[14])/12 + (659*t[15])/64 - t[18]/6 - (5*t[31])/2 - t[32]/2 + 
       t[33]/2 - 2*t[34] + t[38]/2 - t[39]/2 + (3*t[40])/4 - (9*t[41])/4 + 
       (13*t[42])/6 + (37*t[43])/16 - t[44]/2 + (41*t[45])/8 - 15*t[47] + 
       (15*t[48])/8 - (29*t[49])/16 + (7*t[50])/4 + (33*t[51])/32 - 
       (11*t[52])/4 + (29*t[53])/16 - (45*t[54])/8 - (67*t[59])/24 - 
       (49*t[60])/8 - (59*t[61])/2 + (279*t[62])/8 - (73*t[63])/8 - 
       (323*t[64])/16 + (3*t[65])/8 + (51*t[66])/2 - (3*t[70])/4 + 
       (3*t[71])/4 + t[72]/4 - (3*t[74])/2 - (7*t[76])/4 - t[77]/2 + t[78] + 
       (3*t[79])/2 - 2*t[80] - (3*t[81])/4 - t[82]/4 - (3*t[83])/8 - 
       t[84]/8 - (23*t[85])/8 - (137*t[86])/4 + (41*t[87])/8 + 
       (41*t[88])/16 + (21*t[89])/16 - t[97]/4 - 12*t[98] + 12*t[99] + 
       (15*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((-41*t[1])/24 - (7*t[2])/8 - (43*t[3])/16 + 
       (147*t[4])/8 - (813*t[5])/32 + (17*t[6])/16 - (101*t[7])/8 + 
       (29*t[8])/8 + (475*t[9])/32 + (121*t[10])/8 - (287*t[11])/16 + 
       (449*t[12])/32 - (323*t[13])/32 - (179*t[14])/96 - (1969*t[15])/192 + 
       (3*t[21])/2 - (3*t[23])/2 + t[26]/4 + (5*t[31])/2 + t[32]/2 - 
       t[33]/2 - t[34]/4 + t[39]/2 - (3*t[40])/4 + (3*t[41])/8 - 
       (3*t[42])/8 - (81*t[43])/16 + t[44]/2 - (19*t[45])/8 - (3*t[46])/4 + 
       (19*t[47])/4 + (3*t[48])/8 + (13*t[49])/8 - (19*t[50])/8 - t[51]/4 + 
       (29*t[52])/8 - (13*t[53])/8 + (11*t[54])/4 + t[58]/4 - (67*t[59])/24 - 
       (49*t[60])/8 - (59*t[61])/2 + (279*t[62])/8 - (73*t[63])/8 - 
       (323*t[64])/16 + (3*t[65])/8 + (51*t[66])/2 - (3*t[70])/4 + 
       (3*t[71])/4 + t[72]/4 - (3*t[74])/2 - (7*t[76])/4 - t[77]/2 + t[78] + 
       (3*t[79])/2 - 2*t[80] - (3*t[81])/4 - t[82]/4 - (3*t[83])/8 - 
       t[84]/8 - (23*t[85])/8 - (137*t[86])/4 + (41*t[87])/8 + 
       (41*t[88])/16 + (21*t[89])/16 - t[97]/4 - 12*t[98] + 12*t[99] + 
       (15*t[100])/4) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*(-t[1]/4 + (305*t[3])/24 + (253*t[4])/24 - 
       (19*t[5])/2 - (761*t[6])/48 - (17*t[7])/16 - (647*t[8])/48 + 
       (71*t[9])/12 - (249*t[10])/16 + (187*t[11])/48 + (5*t[12])/2 - 
       (35*t[13])/54 - (385*t[14])/36 - (403*t[15])/32 - (3*t[31])/2 + 
       t[40] - (283*t[43])/48 - (5*t[45])/2 - (3*t[46])/4 + 5*t[47] - 
       (7*t[48])/16 + (8*t[49])/3 + (107*t[50])/48 - (37*t[51])/48 - 
       (107*t[52])/48 - (8*t[53])/3 - (91*t[54])/48 + (13*t[59])/12 + 
       (73*t[60])/24 + (7*t[61])/6 - (203*t[62])/12 - 4*t[63] + 
       (97*t[64])/12 + (203*t[65])/36 - (287*t[66])/36 + t[72] - 
       (3*t[74])/2 - t[77] + 2*t[79] + 10*t[80] - (3*t[81])/4 + (3*t[82])/4 + 
       (4*t[83])/3 + t[84]/2 - (17*t[85])/8 + (193*t[86])/12 - 
       (125*t[87])/24 - (125*t[88])/48 - (237*t[89])/16 + 4*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-17*t[2])/6 - (257*t[3])/24 - (425*t[4])/24 + (65*t[5])/12 + 
       (43*t[6])/24 + (41*t[7])/4 + (721*t[8])/24 + (169*t[9])/16 + 
       (757*t[10])/48 + (209*t[11])/24 + (129*t[12])/16 + (3881*t[13])/432 + 
       (1187*t[14])/96 + (931*t[15])/144 - t[18]/2 + t[20] - (2*t[23])/3 - 
       (2*t[24])/3 - (2*t[31])/3 + t[32] + t[34] - t[41]/3 - (13*t[42])/12 - 
       (43*t[43])/8 + (151*t[45])/24 - t[47]/12 - (7*t[48])/3 - 
       (19*t[49])/48 + (10*t[50])/3 + (19*t[51])/96 - (10*t[52])/3 + 
       (19*t[53])/48 - (7*t[54])/8 + (13*t[59])/12 + (73*t[60])/24 + 
       (7*t[61])/6 - (203*t[62])/12 - 4*t[63] + (97*t[64])/12 + 
       (203*t[65])/36 - (287*t[66])/36 + t[72] - (3*t[74])/2 - t[77] + 
       2*t[79] + 10*t[80] - (3*t[81])/4 + (3*t[82])/4 + (4*t[83])/3 + 
       t[84]/2 - (17*t[85])/8 + (193*t[86])/12 - (125*t[87])/24 - 
       (125*t[88])/48 - (237*t[89])/16 + 4*t[100]) + 
     HPL[{1}, 1 - v]^3*Omega2[u, v, w]*(-t[1]/6 + (17*t[3])/6 - (4*t[4])/3 + 
       2*t[5] - (151*t[6])/24 + (9*t[7])/4 + (43*t[8])/12 - (17*t[9])/24 - 
       t[10]/4 - (19*t[11])/24 - (19*t[12])/12 + (275*t[13])/108 - 
       (127*t[14])/36 - (7*t[15])/4 - t[31] - (5*t[43])/6 - t[46]/2 + 
       (3*t[48])/8 + (7*t[49])/6 + (25*t[50])/24 - (5*t[51])/24 - 
       (25*t[52])/24 - (7*t[53])/6 - (17*t[54])/24 + (5*t[59])/3 - t[60]/12 - 
       (43*t[61])/12 - (419*t[62])/24 - (67*t[63])/8 + (263*t[64])/24 + 
       6*t[65] - t[66]/6 - t[74] + 2*t[79] - t[81]/2 + t[82]/2 + 
       (4*t[83])/3 - (7*t[85])/4 + (58*t[86])/3 + (5*t[87])/12 + 
       (5*t[88])/24 - (23*t[89])/8 + 4*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w]*
      ((-19*t[2])/12 - (22*t[3])/3 - (41*t[4])/6 - (16*t[5])/3 - 
       (26*t[6])/3 + (29*t[7])/4 - (55*t[8])/12 + 5*t[9] + (67*t[10])/3 + 
       (16*t[11])/3 + 7*t[12] - (97*t[13])/108 + (275*t[14])/24 + 
       (161*t[15])/72 - t[18] - (2*t[23])/3 - (2*t[24])/3 - (2*t[31])/3 + 
       (13*t[41])/6 - (11*t[42])/6 - (9*t[43])/2 + (53*t[45])/3 - 
       (58*t[47])/3 - (17*t[48])/6 - (19*t[49])/12 + (23*t[50])/6 + 
       (19*t[51])/24 - (23*t[52])/6 + (19*t[53])/12 + (11*t[59])/6 + 
       (43*t[60])/6 + (14*t[61])/3 - (107*t[62])/12 + (41*t[63])/4 - 
       (389*t[64])/12 + (71*t[65])/9 - (22*t[66])/9 - 3*t[74] + t[79] - 
       39*t[80] - t[81] + t[82] + (4*t[83])/3 - (7*t[85])/2 - (53*t[86])/3 - 
       (11*t[87])/6 - (11*t[88])/12 - (9*t[89])/4 + 4*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      ((-2*t[1])/3 - (5*t[2])/6 + (7*t[3])/12 - (19*t[4])/2 + t[5] + t[6]/8 + 
       (127*t[7])/24 + (29*t[8])/8 + (55*t[9])/24 + (139*t[10])/24 + 
       (35*t[11])/12 + (7*t[12])/2 + (389*t[13])/144 + (35*t[14])/36 + 
       (3*t[15])/16 + t[31] - t[41]/6 + t[42]/6 - (5*t[43])/24 + t[44] + 
       (25*t[45])/6 + (2*t[46])/3 - (16*t[47])/3 - t[48] + t[49]/6 - 
       t[50]/3 - t[51]/12 + t[52]/3 - t[53]/6 + (2*t[54])/3 - (4*t[59])/3 + 
       (17*t[60])/12 + 5*t[61] - (64*t[62])/3 - (43*t[63])/3 + 21*t[64] + 
       (263*t[65])/36 - (215*t[66])/12 - (4*t[74])/3 + 6*t[79] - 
       (13*t[80])/3 + (2*t[81])/3 - (2*t[82])/3 + (4*t[83])/3 - (2*t[84])/3 + 
       (5*t[85])/3 + (62*t[86])/3 - t[87]/3 - t[88]/6 + t[89]/8 + 4*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      (-t[1]/2 - (5*t[2])/6 - (2*t[3])/3 - t[4]/4 - 3*t[5] - (3*t[6])/8 + 
       (29*t[7])/12 + (9*t[8])/4 + (11*t[9])/3 + (8*t[10])/3 + (13*t[11])/6 + 
       3*t[12] + (43*t[13])/16 - (23*t[14])/72 - 2*t[15] - t[41]/6 + 
       t[42]/6 - (5*t[43])/6 + (19*t[45])/6 - t[46]/3 - (7*t[47])/3 - 
       (3*t[48])/4 + (5*t[49])/12 - t[50]/12 + t[51]/24 + t[52]/12 - 
       (5*t[53])/12 - t[54]/12 - t[59] + (5*t[60])/3 - t[61] - (65*t[62])/6 - 
       (47*t[63])/6 + (17*t[64])/2 + (79*t[65])/18 - (65*t[66])/6 - 
       (4*t[74])/3 + 4*t[79] - (13*t[80])/3 + (2*t[81])/3 - (2*t[82])/3 + 
       (4*t[83])/3 - (2*t[84])/3 + (5*t[85])/3 + (26*t[86])/3 - t[87]/3 - 
       t[88]/6 + (3*t[89])/2 + 4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - w]*((11*t[2])/3 + (35*t[3])/12 + (14*t[4])/3 - 
       (257*t[5])/24 - (53*t[6])/12 + 21*t[7] - (91*t[8])/3 + (115*t[9])/8 - 
       (26*t[10])/3 - (77*t[11])/12 + (3*t[12])/8 - (3047*t[13])/216 - 
       (3*t[14])/8 - (989*t[15])/144 - (2*t[18])/3 + t[20] - (2*t[23])/3 - 
       (2*t[24])/3 - (2*t[31])/3 + t[32] + t[34] + (5*t[41])/3 - 5*t[42] - 
       t[43]/4 + t[45]/6 - (7*t[47])/3 - (17*t[48])/6 - (7*t[49])/3 + 
       (23*t[50])/6 + (7*t[51])/6 - (23*t[52])/6 + (7*t[53])/3 + t[54]/2 + 
       5*t[59] + (17*t[60])/3 - (53*t[61])/6 - (35*t[62])/3 + 2*t[63] - 
       (97*t[64])/6 - (70*t[65])/9 + (304*t[66])/9 - t[72] - 2*t[74] + 
       t[77] - 4*t[79] - 10*t[80] - t[81] + t[82] + (4*t[83])/3 - t[84]/2 - 
       4*t[85] + (46*t[86])/3 - t[87]/3 - t[88]/6 + 6*t[89] + 4*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-97*t[1])/24 + (451*t[2])/24 + (125*t[3])/8 + (437*t[4])/12 - 
       (1573*t[5])/32 + (205*t[6])/16 + (85*t[7])/8 - (2713*t[8])/24 + 
       (3631*t[9])/96 + (2945*t[10])/96 - (8053*t[11])/96 - (1217*t[12])/48 - 
       (58427*t[13])/1728 + (19457*t[14])/576 + (1057*t[15])/576 - 
       (2*t[16])/3 - (2*t[17])/3 + (8*t[19])/3 - 12*t[20] + 2*t[22] - 
       (8*t[23])/3 - 6*t[24] - (4*t[25])/3 + 10*t[26] + (7*t[27])/3 - 
       4*t[28] + t[29]/4 - (5*t[30])/2 + (95*t[31])/6 - (2*t[32])/3 - 
       (13*t[33])/3 - t[34]/6 + t[35] + (2*t[36])/3 - (16*t[37])/3 - 
       (7*t[38])/2 + (10*t[39])/3 - (7*t[40])/3 - (33*t[41])/8 + 
       (59*t[42])/24 - (59*t[43])/12 + (151*t[44])/8 - (281*t[45])/12 - 
       (10*t[46])/3 + t[47] - (591*t[48])/32 + (2635*t[49])/96 + 
       (5*t[50])/32 - (2561*t[51])/192 + (673*t[52])/96 - (889*t[53])/32 - 
       (2293*t[54])/96 + t[56]/6 + t[57]/3 - t[58]/3 + (7*t[59])/12 + 
       (1181*t[60])/24 - (3163*t[61])/24 + (935*t[62])/8 + (128*t[63])/3 - 
       (3665*t[64])/16 - (6205*t[65])/72 + (235*t[66])/72 + t[67]/2 + 
       (8*t[68])/3 - 5*t[69] + 2*t[70] - 2*t[71] - 7*t[72] + 10*t[73] - 
       (29*t[74])/6 - 18*t[75] + (35*t[76])/6 - t[77] - (3*t[78])/2 - 
       (101*t[79])/6 - 32*t[80] + (247*t[81])/12 - (277*t[82])/12 + 
       (83*t[83])/6 - (5*t[84])/3 + (547*t[85])/8 - 39*t[86] - 
       (1553*t[87])/24 - (1529*t[88])/48 - (155*t[89])/48 + t[90]/3 - 
       t[92]/3 - (2*t[94])/3 - (7*t[97])/6 + 48*t[98] - 54*t[99] + 
       4*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((3*t[1])/8 - (15*t[2])/4 + (17*t[3])/16 + 
       (71*t[4])/16 - (103*t[5])/32 - (95*t[6])/16 + (19*t[7])/8 - 
       (103*t[8])/16 + (69*t[9])/32 + (43*t[10])/16 - (43*t[11])/32 - 
       (95*t[12])/32 + (5*t[13])/192 - (109*t[14])/16 - (965*t[15])/192 - 
       t[28]/2 + t[29]/2 - (5*t[31])/4 + t[32]/2 - t[33]/2 - t[36]/2 + 
       t[37]/2 + t[39]/2 - t[40]/2 + t[41]/8 - t[42]/8 - t[43]/2 + t[44]/2 + 
       (23*t[45])/16 + t[46]/8 - (15*t[47])/8 - (11*t[48])/32 + 
       (15*t[49])/16 + (61*t[50])/32 - (5*t[51])/16 - (61*t[52])/32 - 
       (15*t[53])/16 - (97*t[54])/32 - t[59]/2 - (3*t[60])/2 - (67*t[61])/4 - 
       (115*t[62])/16 - (93*t[63])/16 + (121*t[64])/8 - (59*t[65])/12 + 
       3*t[66] - t[74] + t[75]/2 - 3*t[80] + t[81]/4 - (5*t[82])/4 + 
       3*t[83] - (7*t[84])/8 - t[85] + 9*t[86] + (7*t[87])/4 + (7*t[88])/8 + 
       (25*t[89])/8 + t[99] + 4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*((-11*t[2])/3 - (101*t[3])/8 - 
       (23*t[4])/24 - (299*t[5])/24 - (71*t[6])/16 + (487*t[7])/24 + 
       (79*t[8])/6 + (1439*t[9])/48 + (45*t[10])/4 + (75*t[11])/8 + 
       (49*t[12])/4 + (7555*t[13])/864 + (701*t[14])/72 - (1025*t[15])/144 - 
       t[18]/2 - t[21]/2 - (7*t[23])/6 - (5*t[24])/3 + t[28]/2 - 
       (8*t[31])/3 + 2*t[34] + 2*t[35] + t[37]/2 - t[38]/2 - t[40]/4 + 
       t[41]/2 - (23*t[42])/12 - (269*t[43])/24 - (3*t[44])/2 + 
       (305*t[45])/24 - (4*t[46])/3 - (8*t[47])/3 - (17*t[48])/24 + 
       (25*t[49])/12 + (35*t[50])/8 - (7*t[51])/24 - (27*t[52])/8 - 
       (25*t[53])/12 - (17*t[54])/24 + (65*t[59])/24 + (29*t[60])/6 - 
       (137*t[61])/24 - (104*t[62])/3 - (34*t[63])/3 + (235*t[64])/48 + 
       (175*t[65])/18 - (67*t[66])/24 + t[69]/2 - (11*t[74])/6 + 
       (7*t[76])/4 + t[77]/4 - t[78] + 8*t[79] - (19*t[80])/3 + t[81]/6 + 
       (5*t[82])/6 + (41*t[83])/12 + t[84]/12 - (5*t[85])/24 + 
       (133*t[86])/4 - (145*t[87])/24 - (145*t[88])/48 - (77*t[89])/8 + 
       t[97]/4 + 12*t[98] - 12*t[99] + (17*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-41*t[1])/24 + (8*t[2])/3 + (211*t[3])/24 - (47*t[4])/6 + 
       (51*t[5])/16 - (215*t[6])/12 + (323*t[7])/48 - (53*t[8])/48 + 
       (61*t[9])/48 + (305*t[10])/48 - (95*t[11])/16 - (115*t[12])/48 - 
       (911*t[13])/864 - (20*t[14])/9 + (5*t[15])/24 - t[26]/4 - t[28]/2 - 
       t[31]/2 + t[34]/4 - 2*t[35] - t[37]/2 + t[40]/2 - t[41]/24 + 
       t[42]/24 - (137*t[43])/48 + (3*t[44])/2 + (17*t[45])/12 + 
       (5*t[46])/12 - (19*t[47])/3 - (59*t[48])/16 + (47*t[49])/24 + 
       (103*t[50])/48 - (7*t[51])/6 - (163*t[52])/48 - (47*t[53])/24 - 
       (59*t[54])/48 - t[58]/4 + (65*t[59])/24 + (29*t[60])/6 - 
       (137*t[61])/24 - (104*t[62])/3 - (34*t[63])/3 + (235*t[64])/48 + 
       (175*t[65])/18 - (67*t[66])/24 + t[69]/2 - (11*t[74])/6 + 
       (7*t[76])/4 + t[77]/4 - t[78] + 8*t[79] - (19*t[80])/3 + t[81]/6 + 
       (5*t[82])/6 + (41*t[83])/12 + t[84]/12 - (5*t[85])/24 + 
       (133*t[86])/4 - (145*t[87])/24 - (145*t[88])/48 - (77*t[89])/8 + 
       t[97]/4 + 12*t[98] - 12*t[99] + (17*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      (-t[1]/2 + t[2]/3 - (71*t[3])/12 - (85*t[4])/6 + (22*t[5])/3 - 
       (5*t[6])/6 + (63*t[7])/4 + (73*t[8])/3 + (61*t[9])/8 + 
       (227*t[10])/12 + (65*t[11])/12 + (11*t[12])/4 + (142*t[13])/27 + 
       (917*t[14])/72 + (517*t[15])/72 - t[18]/3 - (4*t[23])/3 - 
       (4*t[24])/3 - (4*t[31])/3 + t[41]/3 - (3*t[42])/2 - (11*t[43])/2 + 
       (55*t[45])/12 - (25*t[47])/6 - (2*t[48])/3 + (7*t[49])/12 + 
       (8*t[50])/3 - (7*t[51])/24 - (8*t[52])/3 - (7*t[53])/12 - t[54]/2 + 
       (3*t[59])/2 - t[60]/6 + (139*t[61])/12 - (925*t[62])/24 - t[63]/8 - 
       (41*t[64])/24 + (137*t[65])/12 - (43*t[66])/36 + t[69] - t[74] - 
       t[81]/2 + t[82]/2 + (13*t[83])/6 + (3*t[84])/4 - (3*t[85])/2 + 
       (139*t[86])/6 - (5*t[87])/3 - (5*t[88])/6 - 6*t[89] + 5*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((121*t[1])/48 - (233*t[2])/144 + (2101*t[3])/288 + (559*t[4])/96 - 
       (425*t[5])/192 - (953*t[6])/64 + (2795*t[7])/288 - (169*t[8])/32 - 
       (893*t[9])/576 - (3121*t[10])/288 + (1301*t[11])/288 - 
       (73*t[12])/192 + (3929*t[13])/1152 - (13121*t[14])/1728 - 
       (4657*t[15])/1152 + t[21] - t[31]/4 - (4*t[37])/3 - (55*t[41])/144 + 
       (55*t[42])/144 - (835*t[43])/288 - (29*t[45])/144 - (13*t[46])/18 - 
       (67*t[47])/72 - (79*t[48])/32 + (67*t[49])/144 + (665*t[50])/288 + 
       (17*t[51])/288 - (665*t[52])/288 - (67*t[53])/144 - (373*t[54])/288 + 
       2*t[59] - (275*t[60])/144 + (81*t[61])/16 - (1049*t[62])/36 - 
       (413*t[63])/144 + (653*t[64])/32 + (7*t[65])/432 - (197*t[66])/16 + 
       (2*t[69])/3 + (2*t[70])/3 - (5*t[71])/6 - (71*t[74])/36 + 
       (8*t[77])/3 - (13*t[79])/12 + (475*t[80])/36 - (91*t[81])/72 + 
       (91*t[82])/72 + (43*t[83])/18 - (7*t[84])/36 - (545*t[85])/144 + 
       (187*t[86])/9 + (169*t[87])/144 + (169*t[88])/288 - (557*t[89])/96 + 
       (31*t[100])/6) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((-43*t[1])/72 - t[2]/36 - (889*t[3])/576 - 
       (595*t[4])/144 - (233*t[5])/1152 - (373*t[6])/72 + (1103*t[7])/96 - 
       (11*t[8])/48 + (12623*t[9])/1152 + (223*t[10])/288 + 
       (2729*t[11])/576 + (4901*t[12])/1152 + (457*t[13])/1728 + 
       (17431*t[14])/3456 - (2375*t[15])/2304 + (5*t[18])/18 - (5*t[20])/18 + 
       (5*t[21])/18 - (5*t[22])/9 - (5*t[23])/18 + (4*t[24])/9 - 
       (5*t[25])/9 + (5*t[26])/18 - (11*t[29])/36 - (5*t[30])/12 - 
       (5*t[31])/18 - (5*t[32])/18 + (55*t[34])/36 - (7*t[36])/12 - 
       (5*t[38])/36 + (5*t[40])/36 + (17*t[41])/72 - (7*t[42])/72 - 
       (7*t[43])/64 + (5*t[44])/36 - (11*t[45])/36 - (11*t[46])/72 + 
       (19*t[47])/6 - (433*t[48])/288 + (109*t[49])/288 + (319*t[50])/288 + 
       (37*t[51])/576 - (173*t[52])/96 - (109*t[53])/288 + (5*t[54])/96 + 
       (5*t[58])/36 + (73*t[59])/36 + 4*t[60] + (1289*t[61])/96 - 
       (13595*t[62])/576 + (1033*t[63])/192 - (1157*t[64])/576 + 
       (2209*t[65])/288 - (979*t[66])/288 + t[69]/6 - (7*t[70])/18 + 
       (7*t[71])/18 + (5*t[72])/9 - (4*t[73])/3 - t[74] + (4*t[75])/3 + 
       (59*t[76])/36 + (37*t[77])/36 - (29*t[78])/36 - (2*t[79])/3 + 
       (665*t[80])/72 + (17*t[81])/36 + (73*t[82])/36 + (5*t[83])/3 - 
       (53*t[84])/72 + (5*t[85])/9 + (109*t[86])/16 - (41*t[87])/12 - 
       (41*t[88])/24 - (157*t[89])/72 + (5*t[97])/18 + (19*t[98])/3 - 
       8*t[99] + (16*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((-31*t[1])/48 + (365*t[2])/48 + 
       (91*t[3])/32 + (1775*t[4])/96 - (3823*t[5])/192 + (203*t[6])/64 - 
       (1505*t[7])/96 - (1753*t[8])/96 + (1115*t[9])/192 - (389*t[10])/32 + 
       (163*t[11])/32 + (337*t[12])/192 - (36025*t[13])/3456 + 
       (193*t[14])/576 - (7259*t[15])/1152 - t[19] - t[21] + t[23] + 
       2*t[28] - t[30] + (65*t[31])/12 - t[32] + t[33] - 4*t[34] + 2*t[35] + 
       t[37] + t[38] + (3*t[40])/2 + (23*t[41])/48 - (23*t[42])/48 + 
       (109*t[43])/32 - t[44] - (119*t[45])/48 + t[46]/4 + (179*t[47])/24 - 
       (365*t[48])/96 - (83*t[49])/24 - (541*t[50])/96 + (19*t[51])/24 + 
       (349*t[52])/96 + (83*t[53])/24 + (119*t[54])/32 + (11*t[59])/6 + 
       (85*t[60])/16 + (719*t[61])/48 + (445*t[62])/16 - (11*t[63])/2 - 
       (541*t[64])/96 - (71*t[65])/48 - (2339*t[66])/144 + (3*t[69])/2 + 
       (3*t[72])/2 + (53*t[74])/12 - (7*t[76])/2 + 2*t[78] - (35*t[79])/12 - 
       (43*t[80])/3 - (7*t[81])/24 - (41*t[82])/24 - (41*t[83])/12 + 
       (47*t[84])/24 + (181*t[85])/48 - (67*t[86])/3 - (19*t[87])/16 - 
       (19*t[88])/32 + (1055*t[89])/96 - t[97]/2 - 24*t[98] + 24*t[99] + 
       (11*t[100])/2) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-5*t[1])/12 - (7*t[2])/18 + (377*t[3])/144 - 
       (7*t[4])/12 - (13*t[5])/96 - (823*t[6])/96 + (613*t[7])/144 + 
       (45*t[8])/8 + (629*t[9])/288 + (13*t[10])/36 - (283*t[11])/288 - 
       (23*t[12])/96 + (2549*t[13])/864 - (1637*t[14])/432 - 
       (1943*t[15])/576 - (17*t[31])/12 - t[41]/36 + t[42]/36 - 
       (59*t[43])/36 + (121*t[45])/144 - (67*t[46])/72 - t[47]/72 + 
       (41*t[48])/96 + (277*t[49])/144 + (395*t[50])/288 - (19*t[51])/72 - 
       (395*t[52])/288 - (277*t[53])/144 - (319*t[54])/288 + t[59]/4 - 
       (59*t[60])/36 - (23*t[61])/4 - (911*t[62])/36 - (80*t[63])/9 + 
       (143*t[64])/8 + (1613*t[65])/216 - (311*t[66])/72 - (23*t[74])/9 + 
       (8*t[79])/3 - (29*t[80])/36 - (13*t[81])/18 + (13*t[82])/18 + 
       (17*t[83])/9 - (5*t[84])/18 - (101*t[85])/36 + (485*t[86])/18 + 
       (73*t[87])/36 + (73*t[88])/72 - (15*t[89])/8 + (17*t[100])/3) + 
     B5[v, u, w]*HPL[{1}, 1 - w]*(-t[1]/2 + (3*t[3])/2 + (3*t[5])/4 + 
       t[6]/2 - (7*t[7])/2 - (5*t[8])/2 - (15*t[9])/4 - (3*t[10])/2 - 
       (7*t[11])/2 + t[12]/4 - (5*t[13])/12 - (31*t[14])/12 - (5*t[15])/8 + 
       t[24] + t[31] - t[48] - t[50] + t[52] - t[59]/2 - t[60] - 
       (11*t[61])/2 + 5*t[62] - t[64] - (4*t[65])/3 + (10*t[66])/3 - t[84] + 
       t[85] - 4*t[86] + 6*t[100]) + B5[w, u, v]*HPL[{1}, 1 - v]*
      (-t[2]/2 + t[3]/2 + t[5]/4 - (3*t[7])/2 - (3*t[8])/2 - t[9]/4 + 
       (3*t[10])/2 - (5*t[11])/2 - t[12]/4 - (3*t[13])/2 - (5*t[14])/4 + 
       t[15]/8 - t[41]/2 + t[42]/2 - t[54] - t[59]/2 - t[60] - (11*t[61])/2 + 
       5*t[62] - t[64] - (4*t[65])/3 + (10*t[66])/3 - t[84] + t[85] - 
       4*t[86] + 6*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      Omega2[v, w, u]*((11*t[1])/6 + t[2]/6 + (11*t[3])/2 + (205*t[4])/12 - 
       (23*t[5])/4 - (145*t[6])/12 - (163*t[7])/12 - (79*t[8])/12 - 
       (41*t[9])/8 - (19*t[10])/12 - (487*t[11])/24 - (25*t[12])/4 - 
       (1937*t[13])/432 - (43*t[14])/3 - (16*t[15])/3 - 2*t[31] - t[41]/6 + 
       t[42]/6 - (13*t[43])/4 - t[44] - (16*t[45])/3 - (5*t[46])/6 + 
       (11*t[47])/3 + t[48]/8 + t[49]/2 + (17*t[50])/8 - t[51]/8 - 
       (17*t[52])/8 - t[53]/2 - (17*t[54])/8 + (11*t[59])/6 - 6*t[60] - 
       (229*t[61])/6 + (319*t[62])/12 - (37*t[63])/12 - (289*t[64])/12 - 
       (85*t[65])/12 + (1817*t[66])/36 + (5*t[74])/3 - 2*t[79] + 
       (5*t[80])/3 - (11*t[81])/6 + (11*t[82])/6 + t[83] - t[84]/6 - 
       (43*t[85])/12 - (49*t[86])/6 + (9*t[87])/4 + (9*t[88])/8 - 
       (23*t[89])/4 + 6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - v]*((-5*t[1])/6 + (11*t[3])/4 + (17*t[4])/4 - 
       (9*t[5])/2 - (79*t[6])/8 + (3*t[7])/8 + (15*t[8])/8 + (5*t[9])/4 + 
       t[10]/8 - (55*t[11])/8 - t[12]/4 - (85*t[13])/36 - (145*t[14])/24 - 
       (157*t[15])/48 - t[31] - (17*t[43])/8 - t[46]/2 + t[48]/8 + 
       (5*t[49])/4 + (9*t[50])/8 - t[51]/4 - (9*t[52])/8 - (5*t[53])/4 - 
       (5*t[54])/8 + (11*t[59])/6 - (11*t[60])/4 - (35*t[61])/2 - 
       (23*t[62])/4 - (23*t[63])/4 - (25*t[64])/4 + (35*t[65])/6 + 
       (143*t[66])/6 - t[74] - t[81]/2 + t[82]/2 + 2*t[83] - (7*t[85])/4 + 
       (23*t[86])/2 + (3*t[87])/4 + (3*t[88])/8 - (23*t[89])/8 + 6*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((47*t[1])/36 + (17*t[3])/6 - (9*t[4])/2 + (27*t[5])/4 - 
       (169*t[6])/24 + (23*t[7])/6 + (29*t[8])/6 - (47*t[9])/12 - 
       (28*t[10])/3 + (59*t[11])/24 - (19*t[12])/6 + (83*t[13])/36 - 
       (37*t[14])/8 + (5*t[15])/9 - t[31] + (5*t[43])/4 + t[48]/8 + 
       (9*t[50])/8 - (9*t[52])/8 - (9*t[54])/8 + (37*t[59])/36 - 
       (43*t[60])/12 - (5*t[61])/4 - (151*t[62])/8 - (101*t[63])/8 + 
       (199*t[64])/8 + (37*t[65])/6 - (10*t[66])/9 + t[79] + (65*t[80])/3 - 
       t[81]/2 + t[82]/2 + t[83] - t[84]/2 - (5*t[85])/4 + (80*t[86])/3 + 
       (9*t[87])/4 + (9*t[88])/8 - (59*t[89])/24 + 6*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[w, u, v]*
      (-t[1]/3 + 3*t[3] + (5*t[4])/2 - (7*t[5])/4 - (75*t[6])/8 + 
       (5*t[7])/4 + (9*t[8])/4 + (11*t[9])/8 + 2*t[10] - (31*t[11])/8 - 
       (3*t[12])/4 + (11*t[13])/18 - (119*t[14])/24 - (73*t[15])/24 - t[31] - 
       2*t[43] - t[46]/2 + t[48]/8 + (5*t[49])/4 + (9*t[50])/8 - t[51]/4 - 
       (9*t[52])/8 - (5*t[53])/4 - (5*t[54])/8 + (4*t[59])/3 - (3*t[60])/4 - 
       (39*t[61])/4 - (101*t[62])/8 - (59*t[63])/8 + t[64]/8 + (23*t[65])/3 + 
       (17*t[66])/2 - t[74] + 2*t[79] - t[81]/2 + t[82]/2 + 2*t[83] - 
       (7*t[85])/4 + 12*t[86] + (3*t[87])/4 + (3*t[88])/8 - (19*t[89])/8 + 
       6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Omega2[w, u, v]*
      (-t[2]/2 - 4*t[3] - (31*t[4])/4 - t[5]/2 - (29*t[6])/12 + 8*t[7] + 
       (11*t[8])/2 + (59*t[9])/8 + (85*t[10])/8 - (3*t[11])/2 + 
       (33*t[12])/8 + (43*t[13])/36 + (61*t[14])/16 + (7*t[15])/6 - t[18]/3 - 
       t[23] - t[24] - t[31] + t[41]/2 - (4*t[42])/3 - (19*t[43])/4 + 
       6*t[45] - 5*t[47] - (3*t[48])/4 - (5*t[49])/8 + (9*t[50])/4 + 
       (5*t[51])/16 - (9*t[52])/4 + (5*t[53])/8 + (4*t[59])/3 - (3*t[60])/4 - 
       (39*t[61])/4 - (101*t[62])/8 - (59*t[63])/8 + t[64]/8 + (23*t[65])/3 + 
       (67*t[66])/6 - t[74] + 2*t[79] - t[81]/2 + t[82]/2 + 2*t[83] - 
       (7*t[85])/4 + 12*t[86] + (3*t[87])/4 + (3*t[88])/8 - (19*t[89])/8 + 
       6*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      (2*t[1] - (19*t[3])/12 + (187*t[4])/12 - (59*t[5])/12 - (7*t[6])/3 - 
       (16*t[7])/3 - (41*t[8])/12 - (17*t[9])/24 - (91*t[10])/24 - 
       (35*t[11])/3 - (41*t[12])/8 - (691*t[13])/216 - (1315*t[14])/144 - 
       (31*t[15])/9 - t[18]/3 - t[23]/3 - t[24]/3 - (7*t[31])/3 + 
       (2*t[41])/3 - (11*t[42])/6 - (19*t[43])/12 - 2*t[44] + t[45]/4 - 
       (4*t[46])/3 - (3*t[47])/2 - (5*t[48])/12 - (5*t[49])/8 + 
       (31*t[50])/12 + (5*t[51])/16 - (31*t[52])/12 + (5*t[53])/8 - t[54]/3 + 
       (3*t[59])/2 - (13*t[60])/4 - (101*t[61])/3 + (94*t[62])/3 - 
       (77*t[63])/6 - (55*t[64])/3 - (28*t[65])/3 + (389*t[66])/9 + 
       (5*t[74])/3 - (16*t[80])/3 - (11*t[81])/6 + (11*t[82])/6 + 2*t[83] - 
       (2*t[84])/3 - (37*t[85])/12 - (73*t[86])/6 + (11*t[87])/4 + 
       (11*t[88])/8 - (5*t[89])/8 + 6*t[100]) + B6[u, v, w]*HPL[{1}, 1 - v]*
      ((-3*t[2])/4 + t[3] + (9*t[5])/4 - t[6]/8 - (5*t[7])/2 - 5*t[9] + 
       (9*t[10])/2 - (13*t[11])/8 + t[12]/4 - (29*t[13])/36 - (19*t[14])/8 + 
       t[15]/4 + t[20] + t[32] - t[40] + t[45] - t[47] + (3*t[48])/8 + 
       (3*t[50])/8 + (5*t[52])/8 - (3*t[54])/8 - (3*t[60])/4 - (19*t[61])/4 - 
       (3*t[62])/8 + (7*t[63])/8 - (17*t[64])/8 + (41*t[66])/6 - t[72] - 
       t[74] + t[77] + 2*t[79] - 4*t[80] - t[81]/2 + t[82]/2 - t[84] - 
       (3*t[85])/4 - 2*t[86] + (3*t[87])/4 + (3*t[88])/8 + (5*t[89])/8 + 
       6*t[100]) + B6[u, w, v]*HPL[{1}, 1 - w]*((-3*t[2])/4 - (3*t[4])/4 + 
       t[5]/2 - t[6]/2 - t[7]/2 - (3*t[8])/2 + (11*t[9])/4 + (35*t[10])/8 - 
       (15*t[11])/4 + (5*t[12])/8 - (77*t[13])/36 - (49*t[14])/48 - 
       t[15]/12 + t[46]/2 - (3*t[49])/8 - (3*t[51])/16 + (3*t[53])/8 + 
       (3*t[54])/4 - (3*t[60])/4 - (19*t[61])/4 - (3*t[62])/8 + (7*t[63])/8 - 
       (17*t[64])/8 + (41*t[66])/6 - t[72] - t[74] + t[77] + 2*t[79] - 
       4*t[80] - t[81]/2 + t[82]/2 - t[84] - (3*t[85])/4 - 2*t[86] + 
       (3*t[87])/4 + (3*t[88])/8 + (5*t[89])/8 + 6*t[100]) + 
     B6[v, u, w]*HPL[{1}, 1 - w]*(-t[1]/2 + (3*t[2])/4 + (3*t[3])/2 + 
       (3*t[5])/2 - t[6]/8 - (5*t[7])/2 + 4*t[8] - (13*t[9])/4 - 
       (11*t[10])/2 - (13*t[11])/8 + (11*t[13])/36 - (103*t[14])/24 - 
       (25*t[15])/24 + t[24] - t[45] + 3*t[47] + (7*t[48])/8 - (9*t[50])/8 + 
       (9*t[52])/8 + t[54]/8 - t[59]/2 - (19*t[60])/4 - (17*t[61])/4 - 
       (3*t[62])/8 - (33*t[63])/8 + (103*t[64])/8 + 2*t[65] + (19*t[66])/6 + 
       t[74] + 4*t[80] - t[81]/2 + t[82]/2 - t[84] - (3*t[85])/4 + 4*t[86] + 
       (15*t[87])/4 + (15*t[88])/8 + (5*t[89])/8 + 6*t[100]) + 
     B6[w, u, v]*HPL[{1}, 1 - v]*(t[2]/4 + t[3]/2 - (23*t[4])/4 + 
       (11*t[5])/4 + t[7]/2 + t[8]/2 - 2*t[9] - (9*t[10])/8 - (5*t[11])/4 + 
       (3*t[12])/8 - (37*t[13])/36 - (97*t[14])/48 + (29*t[15])/24 - 
       t[41]/2 + t[42]/2 + t[43] + t[46]/2 - (15*t[49])/8 + (9*t[51])/16 + 
       (15*t[53])/8 + (3*t[54])/4 - t[59]/2 - (19*t[60])/4 - (17*t[61])/4 - 
       (3*t[62])/8 - (33*t[63])/8 + (103*t[64])/8 + 2*t[65] + (19*t[66])/6 + 
       t[74] + 4*t[80] - t[81]/2 + t[82]/2 - t[84] - (3*t[85])/4 + 4*t[86] + 
       (15*t[87])/4 + (15*t[88])/8 + (5*t[89])/8 + 6*t[100]) + 
     B5[v, w, u]*HPL[{1}, 1 - w]*(t[1] + t[3] + t[5]/4 - (3*t[7])/2 - 
       t[8]/2 - (5*t[9])/4 + t[10] - t[11] - (11*t[12])/4 - t[13]/4 - 
       (3*t[14])/2 - (5*t[15])/8 - t[25] + t[38] + t[48]/2 + t[49]/2 - 
       t[50]/2 - t[51]/4 + t[52]/2 - t[53]/2 - t[54]/2 - t[59]/2 - 
       (13*t[61])/2 + (3*t[62])/2 - (7*t[63])/2 - t[64]/2 + (4*t[65])/3 + 
       (5*t[66])/3 + t[85] + (3*t[89])/2 + 6*t[100]) + 
     B5[w, v, u]*HPL[{1}, 1 - v]*((3*t[2])/2 - (3*t[5])/4 - t[6] + t[7]/2 - 
       t[8]/2 + (3*t[9])/4 + t[10] - t[11] + t[12]/4 - t[13]/4 - 
       (2*t[14])/3 - (5*t[15])/8 + t[27] - t[48]/2 - t[49]/2 + t[50]/2 + 
       t[51]/4 - t[52]/2 + t[53]/2 - t[54]/2 - t[59]/2 - (13*t[61])/2 + 
       (3*t[62])/2 - (7*t[63])/2 - t[64]/2 + (4*t[65])/3 + (5*t[66])/3 + 
       t[85] + (3*t[89])/2 + 6*t[100]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1, 1}, 1 - u]*(-2*t[2] - t[3]/2 - (13*t[4])/2 + 
       (37*t[5])/4 + (19*t[6])/4 - (15*t[7])/2 - 8*t[8] - (39*t[9])/4 + 
       (89*t[10])/4 - (61*t[11])/4 - 3*t[12] - (29*t[13])/9 - (7*t[14])/24 + 
       (151*t[15])/24 - t[23] - t[24] - t[31] + t[41] - 2*t[42] - 3*t[43] + 
       t[45] - 8*t[47] + t[48]/4 + t[49]/4 + (5*t[50])/4 - t[51]/8 - 
       (5*t[52])/4 - t[53]/4 - (3*t[54])/4 + 2*t[59] - 2*t[60] - 
       (37*t[61])/2 + (29*t[62])/2 + 3*t[63] - (65*t[64])/2 + 5*t[65] + 
       (119*t[66])/3 + 2*t[83] - 22*t[86] + t[87] + t[88]/2 + (3*t[89])/2 + 
       6*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v]*
      ((17*t[1])/2 - 5*t[2] + (65*t[3])/8 + (293*t[4])/8 - (115*t[5])/8 - 
       (97*t[6])/4 - (57*t[7])/4 - (163*t[8])/8 - (123*t[9])/16 - 
       (283*t[10])/16 - (151*t[11])/4 - (147*t[12])/16 - (1403*t[13])/144 - 
       (909*t[14])/32 - (359*t[15])/24 + t[18]/2 + t[23]/2 + t[24]/2 - 
       (11*t[31])/2 - t[41]/2 + (9*t[42])/4 + (3*t[43])/8 - (97*t[45])/8 - 
       3*t[46] + (31*t[47])/4 + (17*t[48])/8 + (109*t[49])/16 + 
       (37*t[50])/8 - (37*t[51])/32 - (37*t[52])/8 - (109*t[53])/16 - 
       (27*t[54])/4 - (15*t[59])/4 - (205*t[60])/8 - (263*t[61])/4 + 
       (145*t[62])/8 + (153*t[63])/8 + (181*t[64])/8 - (71*t[65])/3 + 
       (202*t[66])/3 - (21*t[74])/2 - 6*t[79] - 9*t[80] - (21*t[81])/4 + 
       (21*t[82])/4 + (7*t[83])/2 - (9*t[84])/4 - (129*t[85])/8 - 
       (7*t[86])/4 + (185*t[87])/8 + (185*t[88])/16 + (315*t[89])/16 + 
       6*t[100]) + D35[u, v, w]*((-9*t[2])/4 + t[3] + (15*t[4])/4 - 
       (3*t[5])/4 - (7*t[6])/4 - t[7]/2 + 7*t[8] - 4*t[9] + (13*t[10])/8 + 
       t[11] - (27*t[12])/8 + (11*t[13])/4 + t[14]/48 + (61*t[15])/24 - 
       t[17]/2 + 2*t[24] + t[25] - t[26] - t[27] + 2*t[33] - 2*t[39] + 
       t[46]/2 - t[48]/4 + (3*t[49])/8 - t[50]/4 + (3*t[51])/16 + t[52]/4 - 
       (3*t[53])/8 - t[54]/2 - 2*t[60] - 13*t[61] + (17*t[62])/4 - 
       (85*t[63])/4 - 5*t[64] - t[65]/6 + (61*t[66])/6 - t[67] - 2*t[74] - 
       2*t[81] - t[84] + t[85] + t[87] + t[88]/2 + 5*t[89] - t[92] + t[94] + 
       6*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-79*t[1])/36 + (223*t[2])/36 + (11*t[3])/9 - (175*t[4])/48 - 
       (1397*t[5])/144 - (53*t[6])/6 + (721*t[7])/32 - (10531*t[8])/288 + 
       (10139*t[9])/288 - (1573*t[10])/288 - (85*t[11])/144 + 
       (1213*t[12])/72 - (5737*t[13])/1296 + (155*t[14])/36 - 
       (2069*t[15])/192 - (4*t[18])/9 + t[19]/2 + (4*t[20])/9 + (5*t[21])/9 - 
       (46*t[22])/9 - (5*t[23])/9 + (7*t[24])/18 - (10*t[25])/9 + 
       (5*t[26])/9 - (13*t[29])/36 - (5*t[30])/6 + (19*t[31])/9 - 
       (5*t[32])/9 - t[33] + (59*t[34])/9 - (17*t[36])/12 - (55*t[38])/36 + 
       t[39] - (20*t[40])/9 + (53*t[41])/36 - (13*t[42])/9 + 
       (769*t[43])/288 + (23*t[44])/18 - (373*t[45])/36 - (37*t[46])/72 + 
       (193*t[47])/12 - (955*t[48])/144 + (11*t[49])/48 + (61*t[50])/16 - 
       (83*t[51])/144 - (461*t[52])/144 - (11*t[53])/48 + (197*t[54])/144 - 
       (2*t[58])/9 + 3*t[59] + (289*t[60])/72 + (161*t[61])/9 - 
       (2167*t[62])/96 + (4571*t[63])/96 - (481*t[64])/32 - 
       (2441*t[65])/216 - (407*t[66])/27 + (5*t[69])/6 + (31*t[70])/18 - 
       (31*t[71])/18 - (7*t[72])/18 - (41*t[73])/12 - (11*t[74])/12 + 
       (41*t[75])/12 + (43*t[76])/9 + (32*t[77])/9 - (139*t[78])/36 + 
       (551*t[80])/36 + (55*t[81])/36 + (121*t[82])/18 + (95*t[83])/18 - 
       (187*t[84])/72 + (515*t[85])/72 - (217*t[86])/72 - (989*t[87])/72 - 
       (917*t[88])/144 - (749*t[89])/72 + (5*t[97])/9 + (83*t[98])/3 - 
       37*t[99] + 6*t[100]) + HPL[{0, 0, 1}, 1 - w]*Omega2[w, u, v]*
      ((17*t[1])/4 - 3*t[2] - (19*t[3])/8 - 8*t[4] + (115*t[5])/16 - 
       (63*t[6])/8 + (25*t[7])/2 + (39*t[8])/4 + (119*t[9])/16 - 
       (47*t[10])/2 + (125*t[11])/4 + (121*t[12])/16 + (1373*t[13])/72 + 
       (583*t[14])/48 - (377*t[15])/96 + 2*t[18] + t[19] + t[20] + 3*t[21] - 
       3*t[23] + 2*t[24] - t[26] - 2*t[29] + t[30] + t[31] + (5*t[34])/2 + 
       (3*t[38])/2 - t[39] + t[40]/2 + (7*t[41])/4 - (3*t[42])/4 + 
       (15*t[43])/8 - 2*t[44] - (13*t[45])/2 - t[46]/2 + 19*t[47] - 
       (15*t[48])/8 + (3*t[49])/4 - (19*t[50])/8 + (3*t[51])/4 - 
       (9*t[52])/8 - (3*t[53])/4 + (19*t[54])/8 + 2*t[59] + (89*t[60])/4 + 
       54*t[61] - (105*t[62])/2 - 16*t[63] + 35*t[64] + 42*t[65] - 
       (245*t[66])/3 - 4*t[70] + 4*t[71] - 2*t[72] - 2*t[74] + 7*t[76] + 
       4*t[77] - t[78] + 37*t[80] + 5*t[81] - t[82] + 3*t[83] + 
       (13*t[84])/4 + (25*t[85])/4 + (41*t[86])/2 - (43*t[87])/4 - 
       (39*t[88])/8 + (115*t[89])/8 + 36*t[98] - 24*t[99] + 6*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*Omega2[u, v, w]*((11*t[1])/4 - 3*t[2] - 
       (77*t[3])/8 - (41*t[4])/4 - (151*t[5])/16 - (81*t[6])/8 + 
       (341*t[7])/8 + (17*t[8])/8 + (755*t[9])/16 - (37*t[10])/2 + 
       (353*t[11])/8 + (189*t[12])/16 + (877*t[13])/48 + (143*t[14])/8 - 
       (87*t[15])/32 + 2*t[18] - t[19] - 2*t[20] - 4*t[22] + 2*t[24] - 
       t[29] + t[30] - 2*t[31] - t[32] + (13*t[34])/2 - t[38]/2 - t[39] - 
       (3*t[40])/2 + (7*t[41])/4 - (5*t[42])/4 + (7*t[43])/4 + 3*t[44] - 
       (31*t[45])/4 - t[46]/2 + (27*t[47])/2 - 3*t[48] - (7*t[49])/8 + 
       6*t[50] + (21*t[51])/16 - (17*t[52])/2 + (7*t[53])/8 - (11*t[54])/4 + 
       t[58] + 2*t[59] + (89*t[60])/4 + 54*t[61] - (105*t[62])/2 - 16*t[63] + 
       35*t[64] + 42*t[65] - (245*t[66])/3 - 4*t[70] + 4*t[71] - 2*t[72] - 
       2*t[74] + 7*t[76] + 4*t[77] - t[78] + 37*t[80] + 5*t[81] - t[82] + 
       3*t[83] + (13*t[84])/4 + (25*t[85])/4 + (41*t[86])/2 - (43*t[87])/4 - 
       (39*t[88])/8 + (115*t[89])/8 + 36*t[98] - 24*t[99] + 6*t[100]) + 
     B6[w, v, u]*HPL[{1}, 1 - v]*((3*t[2])/2 + t[3]/2 + (7*t[4])/4 - 
       (33*t[6])/8 + (7*t[7])/2 - 7*t[8] + t[9] + (5*t[10])/8 + 
       (21*t[11])/8 - (5*t[12])/8 + t[13]/4 - (35*t[14])/16 - (13*t[15])/24 + 
       t[27] + 2*t[44] + t[46]/2 - (13*t[48])/8 + (3*t[49])/8 + 
       (19*t[50])/8 - (9*t[51])/16 - (19*t[52])/8 - (3*t[53])/8 - 
       (33*t[54])/8 - t[59]/2 - (11*t[61])/2 - t[62]/2 - (7*t[63])/2 - 
       (7*t[64])/2 + t[65]/3 - t[66]/3 + 2*t[73] - 2*t[75] + 2*t[76] - 
       2*t[78] - t[82] - t[83] + 2*t[85] - t[87] - t[88]/2 + t[89]/2 + 
       12*t[98] - 12*t[99] + 6*t[100]) + B6[v, w, u]*HPL[{1}, 1 - w]*
      (t[1] + t[3] - (7*t[4])/4 - t[5]/2 + (13*t[6])/8 - (3*t[7])/2 + t[8] + 
       t[9]/2 + (19*t[10])/8 - (21*t[11])/8 - (11*t[12])/8 - (23*t[13])/12 + 
       (23*t[14])/16 - (17*t[15])/8 - t[25] + t[38] + t[46]/2 - (3*t[48])/8 - 
       (3*t[49])/8 - (11*t[50])/8 - (11*t[51])/16 + (11*t[52])/8 + 
       (3*t[53])/8 + (9*t[54])/8 - t[59]/2 - (11*t[61])/2 - t[62]/2 - 
       (7*t[63])/2 - (7*t[64])/2 + t[65]/3 - t[66]/3 + 2*t[73] - 2*t[75] + 
       2*t[76] - 2*t[78] - t[82] - t[83] + 2*t[85] - t[87] - t[88]/2 + 
       t[89]/2 + 12*t[98] - 12*t[99] + 6*t[100]) + 
     D31[w, u, v]*(-t[3]/2 - (9*t[4])/2 - t[5]/4 - t[7]/2 + t[8]/2 + t[9]/4 + 
       (15*t[10])/4 - 4*t[11] + (5*t[12])/2 - (13*t[13])/6 - (29*t[14])/24 + 
       (5*t[15])/8 + t[46] - (9*t[49])/4 + (3*t[51])/8 + (9*t[53])/4 + 
       (3*t[54])/2 - (7*t[60])/2 - t[61]/2 - (11*t[62])/4 + (3*t[63])/4 + 
       (19*t[64])/4 + (7*t[65])/3 + 7*t[66] - t[76] + t[78] - t[81] + t[82] - 
       t[84] - (3*t[85])/2 + (9*t[87])/2 + (9*t[88])/4 - (7*t[89])/4 - 
       12*t[98] + 12*t[99] + 6*t[100]) + D31[v, w, u]*
      (t[3]/2 + (13*t[5])/4 + (3*t[6])/4 - (7*t[7])/2 + (7*t[8])/2 - 
       (21*t[9])/4 + (5*t[10])/2 - (9*t[11])/4 - (3*t[12])/4 - t[13]/6 - 
       (5*t[14])/2 + (9*t[15])/8 + (3*t[45])/2 - (3*t[47])/2 + (5*t[48])/4 - 
       (3*t[50])/4 + (3*t[52])/4 - t[54]/4 + t[58] - (7*t[60])/2 - t[61]/2 - 
       (11*t[62])/4 + (3*t[63])/4 + (19*t[64])/4 + (7*t[65])/3 + 7*t[66] - 
       t[76] + t[78] - t[81] + t[82] - t[84] - (3*t[85])/2 + (9*t[87])/2 + 
       (9*t[88])/4 - (7*t[89])/4 - 12*t[98] + 12*t[99] + 6*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((-3*t[1])/2 - (83*t[2])/24 - (28*t[3])/3 - (175*t[4])/12 + 
       (11*t[5])/12 - (611*t[6])/48 + (75*t[7])/4 + (613*t[8])/24 + 
       (189*t[9])/16 + (361*t[10])/48 + (191*t[11])/24 + (131*t[12])/16 + 
       (7561*t[13])/864 + (45*t[14])/32 - (329*t[15])/144 - t[18]/2 + 
       t[19]/2 + t[21] - (8*t[23])/3 - (5*t[24])/3 - t[28]/2 + t[30]/2 - 
       (11*t[31])/3 - t[37]/2 - t[39]/2 - t[41]/12 - (5*t[42])/4 - 9*t[43] + 
       t[44] + (385*t[45])/24 + t[46]/2 - (97*t[47])/12 + (91*t[48])/24 + 
       (17*t[49])/48 + (95*t[50])/24 + (55*t[51])/96 - (95*t[52])/24 - 
       (17*t[53])/48 - t[54] + t[59]/4 - (221*t[60])/24 - (70*t[61])/3 - 
       (1901*t[62])/48 - (397*t[63])/16 + (157*t[64])/3 + (1069*t[65])/72 - 
       (7*t[66])/9 - (3*t[69])/2 - t[72] - (7*t[74])/2 + 7*t[79] + 18*t[80] - 
       (11*t[81])/4 + (11*t[82])/4 + (31*t[83])/12 - (3*t[84])/8 - 
       (43*t[85])/4 + (559*t[86])/12 + (38*t[87])/3 + (19*t[88])/3 - 
       (61*t[89])/16 + (25*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((-7*t[1])/4 + (23*t[2])/8 + 
       (131*t[3])/24 - (23*t[4])/6 - (13*t[5])/16 - (839*t[6])/48 - 
       (17*t[7])/16 + (901*t[8])/48 + (239*t[9])/48 - (35*t[10])/16 - 
       (193*t[11])/24 - (7*t[12])/16 + (6103*t[13])/864 - (1405*t[14])/144 - 
       (13*t[15])/2 + t[19]/2 + t[21]/2 - t[23]/2 - t[28]/2 + t[30]/2 - 
       (7*t[31])/2 - 2*t[35] - (3*t[37])/2 - t[39]/2 - t[41]/4 + t[42]/4 - 
       (175*t[43])/48 - t[44] - (7*t[45])/4 - (9*t[46])/4 + 3*t[47] + 
       (11*t[48])/8 + (19*t[49])/24 + (67*t[50])/24 + t[51]/6 - 
       (67*t[52])/24 - (19*t[53])/24 + (13*t[54])/24 + t[59]/4 - 
       (221*t[60])/24 - (70*t[61])/3 - (1901*t[62])/48 - (397*t[63])/16 + 
       (157*t[64])/3 + (1069*t[65])/72 - (7*t[66])/9 - (3*t[69])/2 - t[72] - 
       (7*t[74])/2 + 7*t[79] + 18*t[80] - (11*t[81])/4 + (11*t[82])/4 + 
       (31*t[83])/12 - (3*t[84])/8 - (43*t[85])/4 + (559*t[86])/12 + 
       (38*t[87])/3 + (19*t[88])/3 - (61*t[89])/16 + (25*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2*
      (-4*t[1] + (191*t[2])/24 + (751*t[3])/48 + (619*t[4])/48 - 
       (131*t[5])/12 - (247*t[6])/16 - (295*t[7])/8 - (2471*t[8])/48 - 
       (1115*t[9])/32 + (2869*t[10])/96 - (1061*t[11])/24 - (519*t[12])/32 - 
       (14927*t[13])/432 - (3613*t[14])/192 + (749*t[15])/288 - 
       (23*t[18])/12 - t[19] - (3*t[20])/4 - 3*t[21] - (3*t[22])/2 + 
       (8*t[23])/3 - (5*t[24])/6 - 2*t[25] + 2*t[26] + (3*t[27])/2 + 
       2*t[28] + (3*t[29])/2 + (13*t[31])/6 - (5*t[32])/4 + t[33] - 
       (19*t[34])/4 - t[36] - t[37]/2 - t[38]/2 + t[39] + (7*t[40])/4 + 
       t[41]/3 - (17*t[42])/24 - (3*t[43])/16 + t[44] + (607*t[45])/48 + 
       (3*t[46])/4 - (955*t[47])/24 - (89*t[48])/48 + (53*t[49])/96 + 
       (23*t[50])/48 - (401*t[51])/192 + t[52]/48 - (53*t[53])/96 - t[54]/2 - 
       t[58] + (10*t[59])/3 - (1325*t[60])/48 - (140*t[61])/3 + 
       (2771*t[62])/48 + (609*t[63])/16 - (5785*t[64])/48 - (3853*t[65])/72 + 
       (701*t[66])/9 + 2*t[69] + 5*t[70] - 5*t[71] + (15*t[72])/4 - 5*t[73] + 
       (29*t[74])/4 + (7*t[75])/2 - (27*t[76])/4 + (21*t[77])/4 + 
       (7*t[78])/4 - 2*t[79] - (83*t[80])/2 - (45*t[81])/8 + (11*t[82])/8 + 
       (26*t[83])/3 - (21*t[84])/8 - (49*t[85])/16 - (1355*t[86])/24 + 
       (463*t[87])/48 + (463*t[88])/96 - (543*t[89])/32 - t[97]/4 - 
       42*t[98] + 37*t[99] + (29*t[100])/4) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w]^2*((-7*t[1])/4 - (113*t[2])/24 + (89*t[3])/192 - 
       (157*t[4])/24 + (2389*t[5])/384 - (1787*t[6])/192 + (445*t[7])/192 + 
       (1345*t[8])/192 - (639*t[9])/128 - (647*t[10])/192 - (47*t[11])/64 + 
       (251*t[12])/384 + (9437*t[13])/3456 - (1031*t[14])/384 - 
       (6565*t[15])/2304 + (5*t[18])/6 + t[20]/3 + (5*t[21])/6 + 
       (7*t[22])/24 - (5*t[23])/6 + (7*t[24])/6 - t[26]/4 + t[27]/6 - 
       t[28]/2 - (7*t[29])/12 + t[30]/2 + (3*t[31])/2 - (2*t[32])/3 + t[33] + 
       (7*t[34])/12 + (41*t[35])/12 + t[36]/4 + (19*t[37])/12 + t[38]/3 - 
       t[39] + (5*t[40])/4 + (5*t[41])/6 - (5*t[42])/12 - (13*t[43])/96 - 
       t[44]/12 - (101*t[45])/96 + (5*t[46])/24 + (55*t[47])/16 - 
       (11*t[48])/8 + (11*t[49])/16 - (23*t[50])/8 + t[51]/4 - (5*t[52])/12 - 
       (11*t[53])/16 + (7*t[54])/4 - t[58]/6 + (2*t[59])/3 + (65*t[60])/12 + 
       t[61]/32 - (3469*t[62])/192 - (1027*t[63])/192 + (2605*t[64])/192 + 
       (1571*t[65])/96 - (617*t[66])/96 - t[67]/24 + (5*t[69])/12 - t[70] + 
       t[71] + t[72]/6 - t[73]/4 + (2*t[74])/3 + t[75]/4 + (35*t[76])/12 - 
       t[77]/6 - (11*t[78])/12 - (7*t[79])/3 + (257*t[80])/24 - t[81]/24 + 
       (85*t[82])/24 + (77*t[83])/24 - (13*t[84])/48 + (13*t[85])/24 + 
       (1027*t[86])/48 - (9*t[87])/4 - (9*t[88])/8 + (209*t[89])/48 + 
       t[97]/3 + 16*t[98] - 15*t[99] + (15*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*((-5*t[1])/6 - 10*t[2] + 
       (65*t[3])/12 + (7*t[4])/12 - (7*t[5])/4 - (263*t[6])/24 + (9*t[7])/8 + 
       (127*t[8])/24 + (31*t[9])/12 + (17*t[10])/8 - (239*t[11])/24 - 
       (5*t[12])/4 + (58*t[13])/27 - (923*t[14])/36 + (17*t[15])/16 - 
       4*t[18] - 16*t[20] + 8*t[22] + 4*t[23] - t[31] + 4*t[40] - 2*t[41] + 
       2*t[42] - (73*t[43])/24 - t[46]/2 - t[48]/8 + (4*t[49])/3 + 
       (29*t[50])/24 - (7*t[51])/24 - (221*t[52])/24 - (4*t[53])/3 - 
       (13*t[54])/24 + (5*t[59])/2 - (425*t[60])/12 - (128*t[61])/3 + 
       (43*t[62])/6 - 12*t[63] + (181*t[64])/6 + (341*t[65])/18 + 
       (127*t[66])/18 + 8*t[69] - t[74] - 4*t[77] + 4*t[79] - t[81]/2 + 
       t[82]/2 + (8*t[83])/3 - (7*t[85])/4 + (175*t[86])/6 + (205*t[87])/12 + 
       (205*t[88])/24 - (75*t[89])/8 + 8*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*(-6*t[1] + t[2]/3 + 
       (43*t[3])/12 - (311*t[4])/12 - (89*t[5])/12 - (157*t[6])/12 + 
       (7*t[7])/2 - (113*t[8])/12 - (7*t[9])/8 - (293*t[10])/24 - 
       (67*t[11])/12 + (201*t[12])/8 + (125*t[13])/216 - (511*t[14])/48 - 
       (151*t[15])/36 - t[18]/3 - (4*t[23])/3 - (4*t[24])/3 - (4*t[31])/3 - 
       (2*t[41])/3 - t[42]/2 - (27*t[43])/4 + (109*t[45])/12 - (43*t[47])/6 - 
       (2*t[48])/3 - (13*t[49])/24 + (8*t[50])/3 + (13*t[51])/48 - 
       (8*t[52])/3 + (13*t[53])/24 - t[54]/4 + (5*t[59])/2 - (425*t[60])/12 - 
       (128*t[61])/3 + (43*t[62])/6 - 12*t[63] + (181*t[64])/6 + 
       (341*t[65])/18 + (127*t[66])/18 + 8*t[69] - t[74] - 4*t[77] + 
       4*t[79] - t[81]/2 + t[82]/2 + (8*t[83])/3 - (7*t[85])/4 + 
       (175*t[86])/6 + (205*t[87])/12 + (205*t[88])/24 - (75*t[89])/8 + 
       8*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-5*t[1])/6 + (65*t[3])/12 + (7*t[4])/12 - (15*t[5])/4 - 
       (311*t[6])/24 + (9*t[7])/8 + (127*t[8])/24 + (31*t[9])/12 + 
       (17*t[10])/8 - (143*t[11])/24 + (3*t[12])/4 + (4*t[13])/27 - 
       (323*t[14])/36 - (253*t[15])/48 - t[31] - (73*t[43])/24 - t[46]/2 - 
       t[48]/8 + (4*t[49])/3 + (29*t[50])/24 - (7*t[51])/24 - (29*t[52])/24 - 
       (4*t[53])/3 - (13*t[54])/24 + t[59]/2 - (41*t[60])/12 - (50*t[61])/3 - 
       (125*t[62])/6 - 16*t[63] + (61*t[64])/6 + (197*t[65])/18 + 
       (175*t[66])/18 - t[74] + 4*t[79] - t[81]/2 + t[82]/2 + (8*t[83])/3 - 
       (7*t[85])/4 + (175*t[86])/6 + (13*t[87])/12 + (13*t[88])/24 - 
       (43*t[89])/8 + 8*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 
       1 - u]*((-5*t[1])/6 + (65*t[3])/12 + (7*t[4])/12 - (15*t[5])/4 - 
       (311*t[6])/24 + (9*t[7])/8 + (127*t[8])/24 + (31*t[9])/12 + 
       (17*t[10])/8 - (143*t[11])/24 + (3*t[12])/4 + (4*t[13])/27 - 
       (323*t[14])/36 - (253*t[15])/48 - t[31] - (73*t[43])/24 - t[46]/2 - 
       t[48]/8 + (4*t[49])/3 + (29*t[50])/24 - (7*t[51])/24 - (29*t[52])/24 - 
       (4*t[53])/3 - (13*t[54])/24 + t[59]/2 - (41*t[60])/12 - (50*t[61])/3 - 
       (125*t[62])/6 - 16*t[63] + (61*t[64])/6 + (197*t[65])/18 + 
       (175*t[66])/18 - t[74] + 4*t[79] - t[81]/2 + t[82]/2 + (8*t[83])/3 - 
       (7*t[85])/4 + (175*t[86])/6 + (13*t[87])/12 + (13*t[88])/24 - 
       (43*t[89])/8 + 8*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*(t[2]/3 - (53*t[3])/12 - (119*t[4])/12 - 
       (17*t[5])/12 - (61*t[6])/12 + (23*t[7])/2 + (175*t[8])/12 + 
       (89*t[9])/8 + (283*t[10])/24 - (19*t[11])/12 + (41*t[12])/8 + 
       (845*t[13])/216 + (161*t[14])/48 + (53*t[15])/36 - t[18]/3 - 
       (4*t[23])/3 - (4*t[24])/3 - (4*t[31])/3 - (2*t[41])/3 - t[42]/2 - 
       (27*t[43])/4 + (109*t[45])/12 - (43*t[47])/6 - (2*t[48])/3 - 
       (13*t[49])/24 + (8*t[50])/3 + (13*t[51])/48 - (8*t[52])/3 + 
       (13*t[53])/24 - t[54]/4 + t[59]/2 - (41*t[60])/12 - (50*t[61])/3 - 
       (125*t[62])/6 - 16*t[63] + (61*t[64])/6 + (197*t[65])/18 + 
       (175*t[66])/18 - t[74] + 4*t[79] - t[81]/2 + t[82]/2 + (8*t[83])/3 - 
       (7*t[85])/4 + (175*t[86])/6 + (13*t[87])/12 + (13*t[88])/24 - 
       (43*t[89])/8 + 8*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 
       1 - u]*(t[2]/3 - (53*t[3])/12 - (119*t[4])/12 - (17*t[5])/12 - 
       (61*t[6])/12 + (23*t[7])/2 + (175*t[8])/12 + (89*t[9])/8 + 
       (283*t[10])/24 - (19*t[11])/12 + (41*t[12])/8 + (845*t[13])/216 + 
       (161*t[14])/48 + (53*t[15])/36 - t[18]/3 - (4*t[23])/3 - (4*t[24])/3 - 
       (4*t[31])/3 - (2*t[41])/3 - t[42]/2 - (27*t[43])/4 + (109*t[45])/12 - 
       (43*t[47])/6 - (2*t[48])/3 - (13*t[49])/24 + (8*t[50])/3 + 
       (13*t[51])/48 - (8*t[52])/3 + (13*t[53])/24 - t[54]/4 + t[59]/2 - 
       (41*t[60])/12 - (50*t[61])/3 - (125*t[62])/6 - 16*t[63] + 
       (61*t[64])/6 + (197*t[65])/18 + (175*t[66])/18 - t[74] + 4*t[79] - 
       t[81]/2 + t[82]/2 + (8*t[83])/3 - (7*t[85])/4 + (175*t[86])/6 + 
       (13*t[87])/12 + (13*t[88])/24 - (43*t[89])/8 + 8*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-35*t[1])/6 + (113*t[3])/12 - (281*t[4])/12 - (23*t[5])/4 - 
       (407*t[6])/24 - (23*t[7])/8 - (161*t[8])/24 - (41*t[9])/12 - 
       (79*t[10])/8 - (239*t[11])/24 + (95*t[12])/4 + (40*t[13])/27 - 
       (587*t[14])/36 - (365*t[15])/48 - t[31] - (73*t[43])/24 - t[46]/2 - 
       t[48]/8 + (4*t[49])/3 + (29*t[50])/24 - (7*t[51])/24 - (29*t[52])/24 - 
       (4*t[53])/3 - (13*t[54])/24 + (9*t[59])/2 - (425*t[60])/12 - 
       (110*t[61])/3 - (29*t[62])/6 - 16*t[63] + (157*t[64])/6 + 
       (569*t[65])/18 + (163*t[66])/18 + 8*t[69] + 3*t[71] - t[74] + 
       4*t[79] - t[81]/2 + t[82]/2 + (8*t[83])/3 - (7*t[85])/4 + 
       (175*t[86])/6 + (205*t[87])/12 + (205*t[88])/24 - (43*t[89])/8 + 
       8*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-35*t[2])/3 - (5*t[3])/12 - (119*t[4])/12 + (7*t[5])/12 - 
       (61*t[6])/12 + (15*t[7])/2 + (223*t[8])/12 + (105*t[9])/8 + 
       (379*t[10])/24 - (67*t[11])/12 + (25*t[12])/8 + (1421*t[13])/216 - 
       (213*t[14])/16 + (281*t[15])/36 - (13*t[18])/3 - 16*t[20] + 8*t[22] - 
       (4*t[23])/3 - (4*t[24])/3 - (4*t[31])/3 + 3*t[32] - 6*t[34] - 
       (2*t[41])/3 - t[42]/2 - (27*t[43])/4 + (109*t[45])/12 - (43*t[47])/6 - 
       (2*t[48])/3 - (13*t[49])/24 + (8*t[50])/3 + (13*t[51])/48 - 
       (8*t[52])/3 + (13*t[53])/24 - t[54]/4 + (9*t[59])/2 - (425*t[60])/12 - 
       (110*t[61])/3 - (29*t[62])/6 - 16*t[63] + (157*t[64])/6 + 
       (569*t[65])/18 + (163*t[66])/18 + 8*t[69] + 3*t[71] - t[74] + 
       4*t[79] - t[81]/2 + t[82]/2 + (8*t[83])/3 - (7*t[85])/4 + 
       (175*t[86])/6 + (205*t[87])/12 + (205*t[88])/24 - (43*t[89])/8 + 
       8*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-5*t[1])/6 + (53*t[3])/12 + (31*t[4])/12 - (13*t[5])/4 - 
       (287*t[6])/24 + (9*t[7])/8 + (79*t[8])/24 + (37*t[9])/12 + 
       (33*t[10])/8 - (119*t[11])/24 + t[12]/4 + (35*t[13])/54 - 
       (257*t[14])/36 - (75*t[15])/16 - t[31] - (73*t[43])/24 - t[46]/2 - 
       t[48]/8 + (4*t[49])/3 + (29*t[50])/24 - (7*t[51])/24 - (29*t[52])/24 - 
       (4*t[53])/3 - (13*t[54])/24 + t[59]/2 - (17*t[60])/12 - (38*t[61])/3 - 
       (107*t[62])/6 - 12*t[63] + (19*t[64])/6 + (197*t[65])/18 + 
       (139*t[66])/18 - t[74] + 4*t[79] - t[81]/2 + t[82]/2 + (8*t[83])/3 - 
       (7*t[85])/4 + (103*t[86])/6 + (13*t[87])/12 + (13*t[88])/24 - 
       (27*t[89])/8 + 8*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*((-5*t[1])/6 + (53*t[3])/12 + (31*t[4])/12 - 
       (13*t[5])/4 - (287*t[6])/24 + (9*t[7])/8 + (79*t[8])/24 + 
       (37*t[9])/12 + (33*t[10])/8 - (119*t[11])/24 + t[12]/4 + 
       (35*t[13])/54 - (257*t[14])/36 - (75*t[15])/16 - t[31] - 
       (73*t[43])/24 - t[46]/2 - t[48]/8 + (4*t[49])/3 + (29*t[50])/24 - 
       (7*t[51])/24 - (29*t[52])/24 - (4*t[53])/3 - (13*t[54])/24 + t[59]/2 - 
       (17*t[60])/12 - (38*t[61])/3 - (107*t[62])/6 - 12*t[63] + 
       (19*t[64])/6 + (197*t[65])/18 + (139*t[66])/18 - t[74] + 4*t[79] - 
       t[81]/2 + t[82]/2 + (8*t[83])/3 - (7*t[85])/4 + (103*t[86])/6 + 
       (13*t[87])/12 + (13*t[88])/24 - (27*t[89])/8 + 8*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-2*t[2])/3 - (65*t[3])/12 - (119*t[4])/12 - (11*t[5])/12 - 
       (61*t[6])/12 + (19*t[7])/2 + (115*t[8])/12 + (77*t[9])/8 + 
       (331*t[10])/24 - (7*t[11])/12 + (45*t[12])/8 + (845*t[13])/216 + 
       (233*t[14])/48 + (25*t[15])/18 - t[18]/3 - (4*t[23])/3 - (4*t[24])/3 - 
       (4*t[31])/3 + t[41]/3 - t[42]/2 - (27*t[43])/4 + (109*t[45])/12 - 
       (43*t[47])/6 - (2*t[48])/3 - (13*t[49])/24 + (8*t[50])/3 + 
       (13*t[51])/48 - (8*t[52])/3 + (13*t[53])/24 - t[54]/4 + t[59]/2 - 
       (17*t[60])/12 - (38*t[61])/3 - (107*t[62])/6 - 12*t[63] + 
       (19*t[64])/6 + (197*t[65])/18 + (139*t[66])/18 - t[74] + 4*t[79] - 
       t[81]/2 + t[82]/2 + (8*t[83])/3 - (7*t[85])/4 + (103*t[86])/6 + 
       (13*t[87])/12 + (13*t[88])/24 - (27*t[89])/8 + 8*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-2*t[2])/3 - (65*t[3])/12 - (119*t[4])/12 - (11*t[5])/12 - 
       (61*t[6])/12 + (19*t[7])/2 + (115*t[8])/12 + (77*t[9])/8 + 
       (331*t[10])/24 - (7*t[11])/12 + (45*t[12])/8 + (845*t[13])/216 + 
       (233*t[14])/48 + (25*t[15])/18 - t[18]/3 - (4*t[23])/3 - (4*t[24])/3 - 
       (4*t[31])/3 + t[41]/3 - t[42]/2 - (27*t[43])/4 + (109*t[45])/12 - 
       (43*t[47])/6 - (2*t[48])/3 - (13*t[49])/24 + (8*t[50])/3 + 
       (13*t[51])/48 - (8*t[52])/3 + (13*t[53])/24 - t[54]/4 + t[59]/2 - 
       (17*t[60])/12 - (38*t[61])/3 - (107*t[62])/6 - 12*t[63] + 
       (19*t[64])/6 + (197*t[65])/18 + (139*t[66])/18 - t[74] + 4*t[79] - 
       t[81]/2 + t[82]/2 + (8*t[83])/3 - (7*t[85])/4 + (103*t[86])/6 + 
       (13*t[87])/12 + (13*t[88])/24 - (27*t[89])/8 + 8*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*
      (-t[1]/2 - (2*t[2])/3 - (17*t[3])/4 - t[4]/3 - (209*t[5])/24 - 
       (29*t[6])/24 + (35*t[7])/3 + (67*t[8])/6 + (191*t[9])/12 + 
       (23*t[10])/8 + (31*t[11])/4 + 8*t[12] + (2633*t[13])/432 + 
       (185*t[14])/144 - (779*t[15])/144 - t[18]/3 - (2*t[23])/3 - 
       (2*t[24])/3 - (5*t[31])/3 - (17*t[42])/12 - (61*t[43])/12 - t[44] + 
       (47*t[45])/6 - (4*t[46])/3 - (5*t[47])/3 - (4*t[48])/3 - t[49]/24 + 
       2*t[50] + (25*t[51])/48 - 2*t[52] + t[53]/24 - (7*t[54])/12 + 
       (5*t[59])/6 + (4*t[60])/3 - (11*t[61])/6 - (115*t[62])/4 - 
       (205*t[63])/12 + (217*t[64])/12 + (421*t[65])/36 - (215*t[66])/36 - 
       (7*t[74])/3 + 6*t[79] - (13*t[80])/3 + t[81]/6 - t[82]/6 + 
       (8*t[83])/3 - (2*t[84])/3 - t[85]/12 + (55*t[86])/2 + t[87]/12 + 
       t[88]/24 - (5*t[89])/4 + 8*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Ot[u, v, w]*((-3*t[1])/4 - (11*t[2])/12 - t[3]/3 - (5*t[4])/8 - 
       7*t[5] - (83*t[6])/16 + (121*t[7])/12 + 8*t[8] + (251*t[9])/24 + 
       (11*t[10])/6 + (49*t[11])/12 + (53*t[12])/8 + (529*t[13])/96 - 
       (23*t[14])/36 - (251*t[15])/48 - t[31] - t[41]/12 + t[42]/12 - 
       (67*t[43])/24 + (55*t[45])/12 - (7*t[46])/6 - (7*t[47])/6 - 
       (5*t[48])/8 + (11*t[49])/6 + (17*t[50])/24 - t[51]/24 - 
       (17*t[52])/24 - (11*t[53])/6 - (25*t[54])/24 - (3*t[59])/2 - 
       (13*t[60])/6 - t[61] - (443*t[62])/12 - (83*t[63])/12 + (55*t[64])/2 + 
       (325*t[65])/36 - (65*t[66])/4 - (14*t[74])/3 + 4*t[79] - 
       (43*t[80])/6 + t[81]/3 - t[82]/3 + (8*t[83])/3 - (4*t[84])/3 - 
       t[85]/6 + (100*t[86])/3 + (17*t[87])/6 + (17*t[88])/12 + 
       (13*t[89])/4 + 8*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^3*(t[1]/3 - t[2]/24 + (29*t[3])/12 - (75*t[4])/16 + 
       (67*t[5])/16 - (89*t[6])/96 - (353*t[7])/48 + (149*t[8])/16 - 
       (539*t[9])/48 - (197*t[10])/48 - (11*t[11])/3 - 2*t[12] + 
       (1171*t[13])/576 - (113*t[14])/9 - (15*t[15])/32 + t[21] - t[23] + 
       t[26]/4 - t[31]/2 - (9*t[34])/4 + t[38]/2 - t[40]/4 - t[41]/12 + 
       t[42]/24 + (17*t[43])/24 - (5*t[45])/12 - t[46]/6 + (25*t[47])/12 + 
       (65*t[48])/16 - (8*t[49])/3 - (53*t[50])/48 + (19*t[51])/12 + 
       (65*t[52])/48 + (8*t[53])/3 + t[54]/48 + t[58]/4 - (8*t[59])/3 - 
       (41*t[60])/3 - 13*t[61] + (233*t[62])/24 - (607*t[63])/24 + 28*t[64] + 
       (821*t[65])/72 + (233*t[66])/24 - 2*t[69] - (2*t[74])/3 - 
       (7*t[76])/2 - t[77]/2 + 2*t[78] + (139*t[80])/12 - (13*t[81])/6 + 
       t[82]/6 - (4*t[83])/3 - t[84]/12 - (89*t[85])/12 - (14*t[86])/3 + 
       (193*t[87])/12 + (193*t[88])/24 + (33*t[89])/4 - t[97]/2 - 24*t[98] + 
       24*t[99] + 8*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((-71*t[1])/24 - (31*t[2])/4 + (275*t[3])/96 + 
       (1217*t[4])/32 + (309*t[5])/16 + (247*t[6])/6 - (4439*t[7])/48 + 
       (2489*t[8])/48 - (325*t[9])/3 + (10133*t[10])/192 - (2753*t[11])/48 - 
       (10223*t[12])/192 - (6283*t[13])/288 - (10261*t[14])/1152 + 
       (625*t[15])/36 + t[16]/4 + t[17]/4 - (23*t[18])/6 + t[19]/3 + 
       (16*t[20])/3 - (29*t[21])/6 + (32*t[22])/3 + (29*t[23])/6 - 2*t[24] + 
       (7*t[25])/6 + (2*t[26])/3 - (5*t[27])/2 - 2*t[28] - (41*t[29])/24 - 
       t[30] + (17*t[31])/3 + t[32]/2 + (16*t[33])/3 - (51*t[34])/2 + 
       (5*t[35])/2 + (19*t[36])/6 + t[37]/2 + (5*t[38])/2 - (37*t[39])/12 + 
       (109*t[40])/24 - (9*t[41])/8 - (19*t[42])/24 + t[43]/4 + 
       (27*t[44])/16 + (431*t[45])/12 - (27*t[46])/8 - (709*t[47])/12 + 
       (827*t[48])/48 + (2563*t[49])/192 - (177*t[50])/16 - 
       (2867*t[51])/384 + (811*t[52])/48 - (177*t[53])/64 + (751*t[54])/96 - 
       t[55]/6 + t[56]/12 + (11*t[57])/6 - (7*t[58])/12 + (19*t[59])/24 - 
       (859*t[60])/32 - (2701*t[61])/96 + (24865*t[62])/192 - 
       (2545*t[63])/192 - (24901*t[64])/192 - (30709*t[65])/288 + 
       (20713*t[66])/288 - t[67]/6 - (7*t[68])/6 + (5*t[69])/2 + 
       (19*t[70])/3 - (19*t[71])/3 - (11*t[72])/2 + 5*t[73] + (16*t[74])/3 - 
       3*t[75] - 12*t[76] + (7*t[77])/6 - (31*t[78])/12 - 3*t[79] - 
       (175*t[80])/2 - (143*t[81])/12 - (109*t[82])/4 - (67*t[83])/4 + 
       (103*t[84])/96 - (2125*t[85])/96 - (187*t[86])/2 + (1465*t[87])/96 - 
       (775*t[88])/192 + (737*t[89])/192 - t[91]/24 - t[92]/6 + t[93]/2 + 
       t[94]/6 + 4*t[95] + (43*t[96])/6 - (7*t[97])/4 - 102*t[98] + 
       112*t[99] + 8*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((145*t[1])/48 - (889*t[2])/144 - 
       (775*t[3])/288 - (395*t[4])/32 + (5291*t[5])/192 + (1221*t[6])/64 - 
       (497*t[7])/288 + (215*t[8])/96 - (17929*t[9])/576 - (2255*t[10])/288 + 
       (29*t[11])/9 - (3341*t[12])/192 + (13511*t[13])/3456 - 
       (13183*t[14])/1728 + (13027*t[15])/1152 - t[19] - t[21]/2 + t[23]/2 + 
       t[26]/2 + t[28] - t[30] + t[31]/6 + t[32] - t[33] - t[34]/2 + 
       4*t[35] + 3*t[37] + 2*t[39] - (5*t[40])/2 - (23*t[41])/144 + 
       (23*t[42])/144 + (2797*t[43])/288 + (79*t[45])/72 + (121*t[46])/72 - 
       (283*t[47])/36 + (157*t[48])/24 - (79*t[49])/36 + (37*t[50])/72 + 
       (313*t[51])/288 + (143*t[52])/72 + (79*t[53])/36 - (221*t[54])/72 + 
       t[58]/2 + (17*t[59])/12 + (125*t[60])/144 - (241*t[61])/48 + 
       (5195*t[62])/144 - (521*t[63])/72 - (541*t[64])/96 - 
       (2869*t[65])/432 + (551*t[66])/144 + (3*t[69])/2 + (3*t[72])/2 + 
       (119*t[74])/36 - (7*t[76])/2 + 2*t[78] - (35*t[79])/12 - 
       (601*t[80])/36 - (101*t[81])/72 - (43*t[82])/72 - (83*t[83])/36 + 
       (101*t[84])/72 + (143*t[85])/144 - (407*t[86])/18 + (389*t[87])/144 + 
       (389*t[88])/288 + (405*t[89])/32 - t[97]/2 - 24*t[98] + 24*t[99] + 
       (53*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((3*t[1])/2 + (27*t[2])/4 - (169*t[3])/12 + 
       (58*t[4])/3 - (817*t[5])/24 + t[6]/8 + (127*t[7])/6 + (235*t[8])/12 + 
       (539*t[9])/12 - (61*t[10])/24 + (31*t[11])/12 + (75*t[12])/4 - 
       (4409*t[13])/432 + (2297*t[14])/144 - (2407*t[15])/144 - t[23]/3 - 
       t[24]/3 + (11*t[31])/3 + (31*t[41])/6 - (37*t[42])/6 - (35*t[43])/6 - 
       (27*t[45])/4 - t[46]/3 + (49*t[47])/2 - (13*t[48])/6 + (13*t[49])/8 - 
       (11*t[50])/3 - (9*t[51])/16 + (11*t[52])/3 - (13*t[53])/8 + 
       (125*t[54])/12 + (19*t[59])/3 + t[60]/4 + (101*t[61])/6 - 
       (371*t[62])/12 - (133*t[63])/12 + (479*t[64])/12 - (7*t[65])/6 - 
       (61*t[66])/9 + t[70] - t[71] + (14*t[74])/3 - 3*t[79] + (26*t[80])/3 - 
       (11*t[81])/6 + (11*t[82])/6 + (5*t[83])/2 - t[84]/6 - (19*t[85])/12 + 
       (299*t[86])/6 + (9*t[87])/4 + (9*t[88])/8 - (11*t[89])/8 + 9*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      ((11*t[1])/24 - (5*t[2])/8 - (163*t[3])/48 - (71*t[4])/48 - 
       (177*t[5])/32 - (43*t[6])/4 + (257*t[7])/24 + (391*t[8])/48 + 
       (953*t[9])/96 + (65*t[10])/24 - (397*t[11])/96 + (367*t[12])/96 + 
       (151*t[13])/1728 - (287*t[14])/288 - (1633*t[15])/576 - t[18]/3 - 
       (2*t[23])/3 - (2*t[24])/3 - (25*t[31])/12 + t[41]/8 - (5*t[42])/8 - 
       (39*t[43])/8 + (349*t[45])/48 - (5*t[46])/8 - (133*t[47])/24 - 
       (7*t[48])/32 + (3*t[49])/4 + (105*t[50])/32 + (3*t[51])/32 - 
       (105*t[52])/32 - (3*t[53])/4 - (25*t[54])/32 - t[59]/6 - 
       (73*t[60])/12 - (103*t[61])/4 - (409*t[62])/24 - (85*t[63])/8 + 
       (143*t[64])/8 + (83*t[65])/36 + (63*t[66])/4 - (11*t[74])/3 + 
       (8*t[79])/3 - (19*t[80])/6 - (11*t[81])/6 + (11*t[82])/6 + 3*t[83] - 
       (5*t[84])/6 - (67*t[85])/12 + (80*t[86])/3 + (71*t[87])/12 + 
       (71*t[88])/24 - (5*t[89])/24 + 9*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-9*t[1])/4 - (21*t[2])/4 - (13*t[3])/2 + (25*t[4])/8 - (115*t[5])/4 - 
       (123*t[6])/16 + (139*t[7])/4 + (31*t[8])/2 + (377*t[9])/8 - 7*t[10] + 
       (113*t[11])/4 + (189*t[12])/8 + (5221*t[13])/288 + (29*t[14])/6 - 
       (1091*t[15])/48 - 2*t[23] - 2*t[24] - 5*t[31] + t[41]/4 - 
       (13*t[42])/8 - (67*t[43])/8 + (39*t[45])/4 - (7*t[46])/2 + 
       (21*t[47])/2 - (11*t[48])/8 + (9*t[49])/2 + (37*t[50])/8 + 
       (3*t[51])/8 - (37*t[52])/8 - (9*t[53])/2 - (37*t[54])/8 + 
       (11*t[59])/8 + 6*t[60] + 35*t[61] - (239*t[62])/2 - 11*t[63] + 
       (373*t[64])/4 + (121*t[65])/4 - (823*t[66])/12 - 14*t[74] + 12*t[79] - 
       (19*t[80])/2 + t[81] - t[82] + 6*t[83] - t[84] - (7*t[85])/2 + 
       80*t[86] + (15*t[87])/2 + (15*t[88])/4 + 15*t[89] + 9*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-3*t[1])/8 + (7*t[2])/4 - t[3]/2 - (13*t[4])/4 - (41*t[5])/16 - 
       (71*t[6])/16 + (75*t[7])/8 - (85*t[8])/8 + (201*t[9])/16 - 
       (61*t[10])/8 + (63*t[11])/16 + (63*t[12])/16 + (31*t[13])/36 + 
       (7*t[14])/24 - (251*t[15])/96 - 2*t[22] + t[30]/2 - t[32]/2 + 
       (9*t[34])/4 - t[38]/2 - t[39]/2 - (3*t[40])/4 + (7*t[41])/8 - 
       (7*t[42])/8 + (7*t[43])/4 + (3*t[44])/2 - (19*t[45])/4 + 
       (13*t[47])/2 - (27*t[48])/16 - t[49]/4 + (29*t[50])/16 - 
       (25*t[52])/16 + t[53]/4 + (3*t[54])/16 + t[59] - t[60]/8 + 
       (3*t[61])/8 - 5*t[62] + 7*t[63] + (167*t[64])/16 + (11*t[65])/12 - 
       (67*t[66])/8 - (3*t[72])/2 + (7*t[76])/4 + t[77] - t[78] + 
       (25*t[80])/2 + (3*t[81])/4 + t[82] + (3*t[83])/2 - t[84]/2 + 
       (9*t[85])/4 + (9*t[86])/2 - (9*t[87])/4 - (7*t[88])/8 + 
       (25*t[89])/16 + 12*t[98] - 12*t[99] + 9*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((5*t[1])/8 - t[2]/4 + t[3]/8 - (39*t[4])/8 + 10*t[5] - (29*t[6])/16 - 
       (13*t[7])/8 + (19*t[8])/8 - (61*t[9])/8 - (7*t[10])/16 + 
       (17*t[11])/16 - (71*t[12])/16 + (397*t[13])/144 - (7*t[14])/32 + 
       (59*t[15])/24 - t[26]/4 + t[30]/2 + t[34]/4 - t[39]/2 + t[40]/4 - 
       t[41]/8 + t[42]/8 + (23*t[43])/8 - (3*t[44])/2 - t[45] + 2*t[47] - 
       (7*t[48])/16 + (21*t[49])/16 - (15*t[50])/16 - (25*t[51])/32 + 
       (3*t[52])/16 - (21*t[53])/16 + (5*t[54])/16 - t[58]/4 + t[59] - 
       t[60]/8 + (3*t[61])/8 - 5*t[62] + 7*t[63] + (167*t[64])/16 + 
       (11*t[65])/12 - (67*t[66])/8 - (3*t[72])/2 + (7*t[76])/4 + t[77] - 
       t[78] + (25*t[80])/2 + (3*t[81])/4 + t[82] + (3*t[83])/2 - t[84]/2 + 
       (9*t[85])/4 + (9*t[86])/2 - (9*t[87])/4 - (7*t[88])/8 + 
       (25*t[89])/16 + 12*t[98] - 12*t[99] + 9*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2*
      ((-25*t[1])/12 + (65*t[2])/8 - (227*t[3])/48 + (731*t[4])/48 - 
       (63*t[5])/16 + (521*t[6])/96 - (503*t[7])/32 - (1441*t[8])/96 - 
       (361*t[9])/48 + (1713*t[10])/32 - (2701*t[11])/96 - (125*t[12])/16 - 
       (17171*t[13])/864 + (61*t[14])/72 + (4769*t[15])/576 - (7*t[18])/2 - 
       t[19]/2 - (5*t[21])/2 + 4*t[22] + (5*t[23])/2 - 5*t[24] - 
       (3*t[25])/2 + (9*t[26])/4 + 2*t[27] + 2*t[28] - 2*t[29] - 
       (5*t[30])/2 - t[31]/4 + t[32]/2 - t[33]/2 - (9*t[34])/4 - 
       (5*t[36])/2 - t[37] - (3*t[38])/2 + (5*t[39])/2 - (5*t[40])/4 - 
       (9*t[41])/8 + t[42]/8 + (163*t[43])/96 + t[44]/2 + (15*t[45])/2 + 
       (15*t[46])/8 - 21*t[47] - (143*t[48])/32 + (5*t[49])/3 + 
       (763*t[50])/96 - (227*t[51])/96 - (451*t[52])/96 - (5*t[53])/3 - 
       (587*t[54])/96 - (3*t[58])/4 + (53*t[59])/12 - (1327*t[60])/48 - 
       (601*t[61])/12 + (2593*t[62])/48 + (587*t[63])/16 - (5855*t[64])/48 - 
       (3695*t[65])/72 + (3019*t[66])/36 + 2*t[69] + 5*t[70] - 5*t[71] + 
       (15*t[72])/4 - 5*t[73] + (27*t[74])/4 + (7*t[75])/2 - (27*t[76])/4 + 
       (21*t[77])/4 + (7*t[78])/4 - 2*t[79] - (83*t[80])/2 - (47*t[81])/8 + 
       (13*t[82])/8 + (28*t[83])/3 - (21*t[84])/8 - (63*t[85])/16 - 
       (1273*t[86])/24 + (473*t[87])/48 + (473*t[88])/96 - (565*t[89])/32 - 
       t[97]/4 - 42*t[98] + 37*t[99] + (37*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^3*((-41*t[1])/12 - (22*t[2])/3 + 
       (391*t[3])/48 + (2137*t[4])/96 - (5*t[5])/192 + (595*t[6])/192 - 
       (395*t[7])/16 - (103*t[8])/16 - (3863*t[9])/192 + (463*t[10])/64 - 
       (4981*t[11])/192 - (883*t[12])/96 - (6481*t[13])/864 - 
       (21655*t[14])/1152 - (5095*t[15])/1152 + (5*t[16])/24 - t[17]/24 - 
       (2*t[18])/3 + (7*t[20])/6 - (2*t[21])/3 - (7*t[22])/6 + (2*t[23])/3 - 
       (13*t[24])/6 + (7*t[25])/6 + (5*t[26])/6 - (5*t[27])/3 - t[28]/6 - 
       t[29]/8 + (5*t[30])/4 + (4*t[31])/3 - (3*t[32])/4 + (4*t[33])/3 - 
       (47*t[34])/12 + (9*t[35])/2 - t[36]/12 + t[37]/2 - t[38] - 
       (4*t[39])/3 + (19*t[40])/6 - (25*t[41])/24 + (17*t[42])/24 + 
       (221*t[43])/96 + (95*t[44])/48 - t[45] - (5*t[46])/24 - t[47]/2 + 
       (349*t[48])/192 + (379*t[49])/192 - (719*t[50])/192 - 
       (139*t[51])/128 - t[52]/192 - (153*t[53])/64 + (161*t[54])/192 - 
       t[56]/6 + t[57]/6 - t[58]/4 - t[59]/3 - (43*t[60])/16 - 
       (134*t[61])/3 + (3251*t[62])/48 + (101*t[63])/48 - (123*t[64])/8 - 
       (2629*t[65])/144 + (7523*t[66])/144 + t[67]/12 + t[68]/3 + 2*t[69] + 
       (11*t[70])/6 - (11*t[71])/6 - (3*t[72])/2 + (7*t[73])/3 - 
       (19*t[74])/6 + t[75]/6 - (97*t[76])/24 - 2*t[77] + (143*t[78])/24 - 
       3*t[79] - (49*t[80])/12 + (19*t[81])/24 - (59*t[82])/24 - 
       (29*t[83])/4 + (13*t[84])/8 - (77*t[85])/48 - (535*t[86])/24 + 
       (19*t[87])/48 + (19*t[88])/96 + (419*t[89])/96 - t[90]/12 + t[92]/12 + 
       t[93]/3 - t[94]/12 - t[97]/3 - 12*t[98] + 17*t[99] + (29*t[100])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((25*t[1])/6 - (2*t[2])/3 + (73*t[3])/12 - (29*t[4])/12 - (27*t[5])/4 - 
       (191*t[6])/24 - (199*t[7])/24 - (71*t[8])/24 - (23*t[9])/6 - 
       (91*t[10])/24 - (139*t[11])/8 - (19*t[12])/4 + (119*t[13])/216 - 
       (481*t[14])/36 - (247*t[15])/48 - t[31] - t[41]/3 + t[42]/3 - 
       (83*t[43])/24 - (7*t[45])/6 - t[46]/6 - (5*t[47])/3 - (7*t[48])/8 + 
       (2*t[49])/3 + (43*t[50])/24 - (5*t[51])/24 - (43*t[52])/24 - 
       (2*t[53])/3 - (35*t[54])/24 + (3*t[59])/2 - (55*t[60])/12 - 
       (175*t[61])/6 + (21*t[62])/4 - (65*t[63])/12 + (59*t[64])/12 + 
       (14*t[65])/9 + (245*t[66])/9 + t[74]/3 + 4*t[79] - (8*t[80])/3 - 
       (7*t[81])/6 + (7*t[82])/6 + (7*t[83])/3 - (5*t[84])/6 - 
       (23*t[85])/12 + (25*t[86])/2 + (23*t[87])/12 + (23*t[88])/24 - 
       (45*t[89])/8 + 10*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*((-11*t[1])/12 + (13*t[2])/6 - 
       (267*t[3])/16 - (641*t[4])/48 - (765*t[5])/32 - (37*t[6])/48 + 
       (341*t[7])/8 + (1237*t[8])/48 + (1637*t[9])/32 + (81*t[10])/8 + 
       (505*t[11])/32 + (2527*t[12])/96 + (7345*t[13])/1728 + 
       (8059*t[14])/288 - (1753*t[15])/576 - t[18]/2 - (5*t[23])/3 - 
       (5*t[24])/3 + t[26]/4 - t[31]/12 + (3*t[32])/2 - (3*t[33])/2 + 
       (15*t[34])/4 - t[38] + (3*t[39])/2 - (5*t[40])/2 + (5*t[41])/6 - 
       (25*t[42])/12 - (281*t[43])/24 + t[44] + (229*t[45])/16 + 
       (13*t[46])/24 - (33*t[47])/8 - (143*t[48])/32 + (13*t[49])/24 + 
       (691*t[50])/96 - (113*t[51])/96 - (379*t[52])/96 - (13*t[53])/24 + 
       (157*t[54])/96 + t[58]/4 + (101*t[59])/24 + (97*t[60])/12 + 
       (85*t[61])/8 - (3307*t[62])/48 - (205*t[63])/48 + (267*t[64])/16 + 
       (329*t[65])/24 - (187*t[66])/8 + 2*t[69] - (5*t[74])/2 + (7*t[76])/4 + 
       t[77]/4 - t[78] + (23*t[79])/3 - 13*t[80] + (5*t[81])/6 + t[82]/6 + 
       (16*t[83])/3 - t[84]/8 + (17*t[85])/6 + (757*t[86])/12 - 
       (55*t[87])/6 - (55*t[88])/12 - (257*t[89])/24 + t[97]/4 + 12*t[98] - 
       12*t[99] + 10*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*(t[1]/8 + (7*t[2])/6 - (451*t[3])/96 - 
       (395*t[4])/48 - (779*t[5])/192 - (691*t[6])/288 + (175*t[7])/16 + 
       (349*t[8])/48 + (1645*t[9])/192 + (883*t[10])/96 + (43*t[11])/12 + 
       (1529*t[12])/192 + (53*t[13])/18 + (1457*t[14])/288 - 
       (2203*t[15])/1152 + (7*t[18])/36 + t[20]/2 + t[21]/2 - (11*t[23])/6 - 
       t[24]/3 - t[25]/2 + t[26]/2 + t[27]/2 + t[28]/2 + t[30]/4 - 
       (4*t[31])/3 + t[33]/2 + t[34]/2 - t[37]/2 + t[38]/4 + (13*t[41])/8 - 
       (109*t[42])/36 - (535*t[43])/96 - t[44]/4 + (81*t[45])/16 - t[46]/8 - 
       (21*t[47])/8 + (73*t[48])/96 - (229*t[49])/96 + (161*t[50])/96 + 
       (271*t[51])/192 - (209*t[52])/96 + (229*t[53])/96 + (185*t[54])/96 + 
       t[58]/4 + (155*t[59])/72 + (31*t[60])/24 + (493*t[61])/48 - 
       (1339*t[62])/48 - (775*t[63])/48 - (239*t[64])/48 + (1033*t[65])/48 - 
       (233*t[66])/144 - t[69] + t[72] - (3*t[73])/4 - (2*t[74])/3 + 
       t[75]/4 + t[76]/4 + t[77]/2 - t[78]/4 - (13*t[79])/12 + (14*t[80])/3 - 
       (5*t[81])/4 + (5*t[82])/4 + (19*t[83])/6 + (5*t[84])/8 - 4*t[85] + 
       (157*t[86])/12 + (19*t[87])/4 + (19*t[88])/8 + (7*t[89])/3 - 3*t[98] + 
       2*t[99] + 10*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, w, u]*
      (-t[1]/4 - (5*t[2])/6 + (16*t[3])/3 + (5*t[4])/8 + (77*t[5])/8 + 
       (11*t[6])/16 - (341*t[7])/24 - (3*t[8])/8 - (533*t[9])/24 + 
       (41*t[10])/12 + (2*t[11])/3 - (57*t[12])/8 + (47*t[13])/96 - 
       (1471*t[14])/144 + (97*t[15])/48 + t[31] - t[32] + t[33] - 4*t[34] + 
       t[38] - t[39] + (3*t[40])/2 + t[41]/12 - t[42]/12 + (5*t[43])/3 + 
       (5*t[45])/3 + (2*t[46])/3 - (11*t[47])/6 + (19*t[48])/8 - 
       (35*t[49])/24 - (95*t[50])/24 + (47*t[51])/48 + (47*t[52])/24 + 
       (35*t[53])/24 + (13*t[54])/24 + t[59]/4 - (49*t[60])/12 - 
       (3*t[61])/4 + (349*t[62])/24 - (425*t[63])/24 + (31*t[64])/8 + 
       (50*t[65])/9 - (10*t[66])/3 + (8*t[74])/3 - (7*t[76])/2 - t[77]/2 + 
       2*t[78] + (7*t[80])/6 - (5*t[81])/6 - (7*t[82])/6 - (2*t[83])/3 + 
       (7*t[84])/12 - (13*t[85])/12 - (31*t[86])/3 + (77*t[87])/12 + 
       (77*t[88])/24 + (37*t[89])/8 - t[97]/2 - 24*t[98] + 24*t[99] + 
       10*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((13*t[1])/16 + (11*t[2])/12 - (191*t[3])/384 - (143*t[4])/96 - 
       (3403*t[5])/768 - (833*t[6])/192 + (263*t[7])/64 + (221*t[8])/48 + 
       (1579*t[9])/256 + (61*t[10])/192 + (1181*t[11])/384 + 
       (509*t[12])/256 + (4273*t[13])/3456 + (887*t[14])/768 - 
       (3959*t[15])/4608 + t[18]/4 - t[20]/4 + t[21]/2 + t[22]/4 - 
       (2*t[23])/3 - t[24]/6 - t[25]/4 + t[26]/4 + t[27]/4 - t[28]/4 - 
       (3*t[30])/8 + (5*t[31])/24 - t[33]/4 - (3*t[34])/4 - t[37]/4 + 
       (3*t[38])/8 + t[39]/4 + t[40]/8 + t[41]/24 - t[42]/12 - 
       (155*t[43])/128 + (3*t[44])/8 + (83*t[45])/48 + (7*t[46])/16 + 
       (7*t[47])/6 - (71*t[48])/96 - (259*t[49])/192 + (5*t[50])/96 + 
       (277*t[51])/384 - (77*t[52])/96 + (259*t[53])/192 - (11*t[54])/16 + 
       t[58]/8 - (7*t[59])/24 - (77*t[60])/96 - (19*t[61])/192 - 
       (4879*t[62])/384 - (1931*t[63])/128 + (923*t[64])/384 + 
       (4073*t[65])/576 - (7303*t[66])/576 - t[69]/2 - (3*t[70])/4 + 
       (3*t[71])/4 + t[73]/8 - t[74]/4 - (5*t[75])/8 - (5*t[76])/8 + 
       t[78]/4 - t[79]/2 + (33*t[80])/16 - (7*t[81])/16 - (13*t[82])/16 + 
       (65*t[83])/24 - (5*t[84])/8 - (27*t[85])/32 + (1139*t[86])/96 + 
       (325*t[87])/96 + (325*t[88])/192 + (131*t[89])/64 - t[97]/8 - 
       6*t[98] + (13*t[99])/2 + (81*t[100])/8) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-11*t[1])/4 + (17*t[2])/12 - (73*t[3])/48 - (337*t[4])/16 + 
       (1295*t[5])/96 + (1967*t[6])/96 + (425*t[7])/24 + (151*t[8])/8 + 
       (335*t[9])/32 + (151*t[10])/24 + (395*t[11])/12 + (197*t[12])/32 + 
       (23315*t[13])/1728 + (313*t[14])/32 + (3005*t[15])/576 - t[18]/2 - 
       t[20]/3 - (4*t[21])/3 + t[22]/3 + t[23]/2 - (3*t[24])/2 + t[26]/4 - 
       (2*t[27])/3 - t[28]/2 + t[29]/3 + t[31]/2 - t[32]/3 - (25*t[34])/12 - 
       t[35] + t[38]/6 - t[39] - (2*t[41])/3 - t[42]/6 - (47*t[43])/24 + 
       (5*t[44])/6 + (95*t[45])/24 + (5*t[46])/4 + (27*t[47])/4 + 
       (17*t[48])/12 - (19*t[49])/24 + (23*t[50])/12 + t[51]/3 - t[52]/2 + 
       (19*t[53])/24 - (13*t[54])/6 + (5*t[58])/12 + (79*t[59])/24 + 
       (31*t[60])/4 + (1097*t[61])/24 - (1939*t[62])/48 - (121*t[63])/16 + 
       (1465*t[64])/48 + (59*t[65])/3 - (3341*t[66])/72 + 2*t[69] + 
       (2*t[70])/3 - (2*t[71])/3 - (8*t[72])/3 + 3*t[73] + (11*t[74])/6 - 
       (5*t[75])/2 - (41*t[76])/12 - (19*t[77])/12 + (5*t[78])/3 + 
       (13*t[79])/6 + (5*t[80])/2 + (9*t[81])/4 - (25*t[82])/4 - 
       (16*t[83])/3 + (19*t[84])/8 + (51*t[85])/8 + (373*t[86])/12 - 
       (59*t[87])/8 - (59*t[88])/16 - (67*t[89])/24 - (7*t[97])/12 - 
       16*t[98] + 16*t[99] + (41*t[100])/4) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*((-31*t[1])/24 - (97*t[2])/64 + 
       (427*t[3])/64 + (107*t[4])/64 + (1973*t[5])/192 - (905*t[6])/192 - 
       (2945*t[7])/192 + (35*t[8])/24 - (10067*t[9])/384 + (865*t[10])/384 - 
       (887*t[11])/192 - (3043*t[12])/384 - (1861*t[13])/1152 - 
       (28273*t[14])/2304 + (2249*t[15])/1152 + t[18]/24 + t[21]/2 - 
       (5*t[23])/12 + t[24]/12 + t[31]/3 - t[32] + t[33] - 4*t[34] + t[38] - 
       t[39] + (3*t[40])/2 - (37*t[41])/96 + (9*t[42])/16 + (317*t[43])/192 + 
       (3*t[44])/4 + (141*t[45])/64 + (23*t[46])/24 - (123*t[47])/32 + 
       (47*t[48])/12 + (71*t[49])/384 - (15*t[50])/4 + (241*t[51])/768 + 
       (7*t[52])/4 - (71*t[53])/384 - (31*t[54])/192 - (13*t[59])/24 - 
       (1625*t[60])/192 - (255*t[61])/16 + (1071*t[62])/64 - 
       (3143*t[63])/192 + (465*t[64])/64 + (121*t[65])/96 + 
       (2407*t[66])/288 - t[70]/4 + t[71]/4 + (5*t[74])/24 - (7*t[76])/2 - 
       t[77]/2 + 2*t[78] + t[79]/16 + (283*t[80])/48 - (175*t[81])/96 - 
       (17*t[82])/96 - (11*t[83])/24 + (7*t[84])/24 - (977*t[85])/192 - 
       (1009*t[86])/96 + (1969*t[87])/192 + (1969*t[88])/384 + 
       (745*t[89])/128 - t[97]/2 - 24*t[98] + 24*t[99] + (41*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-163*t[1])/24 - (1747*t[2])/72 - (179*t[3])/72 + (2725*t[4])/24 - 
       (5593*t[5])/96 - (169*t[6])/48 - (3055*t[7])/72 - (389*t[8])/12 + 
       (1343*t[9])/288 + (6113*t[10])/288 - (13003*t[11])/288 - 
       (1457*t[12])/48 + (22781*t[13])/1728 - (14375*t[14])/1728 - 
       (11005*t[15])/576 - (5*t[16])/6 + (2*t[17])/3 - (8*t[18])/3 - 
       6*t[19] + 4*t[20] + (10*t[22])/3 + (22*t[23])/3 + (2*t[24])/3 - 
       (10*t[25])/3 - (23*t[26])/6 + (7*t[27])/3 - 2*t[28] + (41*t[29])/12 + 
       (2*t[30])/3 + (13*t[31])/3 + (5*t[32])/6 + (19*t[33])/6 + 
       (2*t[34])/3 + 5*t[35] + (13*t[36])/3 + 6*t[37] + t[38]/6 - 
       (21*t[39])/2 + (23*t[40])/3 - (227*t[41])/72 - (85*t[42])/72 - 
       (253*t[43])/72 - (145*t[44])/24 + (851*t[45])/72 - (515*t[46])/36 - 
       (623*t[47])/36 - (1119*t[48])/32 + (4787*t[49])/288 - 
       (235*t[50])/288 - (389*t[51])/576 - (3509*t[52])/288 - 
       (5027*t[53])/288 - (6283*t[54])/288 - t[56]/2 + t[57] - (11*t[58])/6 - 
       t[59]/4 + (2903*t[60])/72 - (4123*t[61])/24 + (9605*t[62])/72 + 
       (1411*t[63])/36 - (3665*t[64])/16 - (20845*t[65])/216 + 
       (3125*t[66])/72 + t[67]/2 + (8*t[68])/3 - 5*t[69] + 2*t[70] - 
       2*t[71] - 7*t[72] + 10*t[73] - (127*t[74])/18 - 18*t[75] + 
       (35*t[76])/6 - t[77] - (3*t[78])/2 - (101*t[79])/6 - (661*t[80])/18 + 
       (661*t[81])/36 - (751*t[82])/36 + (289*t[83])/18 - (25*t[84])/9 + 
       (4523*t[85])/72 - (356*t[86])/9 - (4099*t[87])/72 - (4027*t[88])/144 + 
       (5*t[89])/48 + t[90]/3 - t[92]/3 - (2*t[94])/3 - (7*t[97])/6 + 
       48*t[98] - 54*t[99] + (32*t[100])/3) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (-t[1] - (139*t[2])/72 + (1733*t[3])/144 + (85*t[4])/24 + 
       (527*t[5])/96 - (2203*t[6])/96 + (34*t[7])/9 - (67*t[8])/16 - 
       (247*t[9])/288 + (1441*t[10])/144 + (1829*t[11])/288 - 
       (197*t[12])/32 + (9845*t[13])/864 - (4163*t[14])/432 - 
       (4721*t[15])/576 - 2*t[21] + 2*t[23] - t[26]/2 - (35*t[31])/12 - 
       (3*t[32])/2 + (3*t[33])/2 - (3*t[34])/2 + t[38]/2 - (3*t[39])/2 + 
       (11*t[40])/4 - t[41]/9 + t[42]/9 - (737*t[43])/144 - t[44] + 
       (673*t[45])/144 - (133*t[46])/72 - (283*t[47])/72 - (247*t[48])/96 + 
       (775*t[49])/144 + (203*t[50])/288 - (67*t[51])/72 - (1211*t[52])/288 - 
       (775*t[53])/144 - (1015*t[54])/288 - t[58]/2 + (33*t[59])/8 + 
       (259*t[60])/36 + (53*t[61])/8 - (9683*t[62])/144 - (665*t[63])/144 + 
       (267*t[64])/16 + (1369*t[65])/108 - (697*t[66])/36 + 2*t[69] - 
       (49*t[74])/18 + (7*t[76])/4 + t[77]/4 - t[78] + (23*t[79])/3 - 
       (485*t[80])/36 + (11*t[81])/18 + (7*t[82])/18 + (50*t[83])/9 - 
       (17*t[84])/72 + (41*t[85])/18 + (2269*t[86])/36 - (151*t[87])/18 - 
       (151*t[88])/36 - (83*t[89])/8 + t[97]/4 + 12*t[98] - 12*t[99] + 
       (32*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2*((-5*t[1])/6 - (79*t[2])/24 + (35*t[3])/12 - 
       t[4]/8 + (35*t[5])/6 + (75*t[6])/16 - (161*t[7])/16 + (67*t[8])/48 - 
       (791*t[9])/48 + (59*t[10])/24 - (103*t[11])/12 - (181*t[12])/48 - 
       (4649*t[13])/864 - (941*t[14])/96 - (79*t[15])/288 - t[18]/3 + 
       t[20]/3 - (5*t[21])/6 + (5*t[22])/3 + (5*t[23])/6 - t[24]/3 + 
       (2*t[25])/3 - t[26]/3 + (2*t[29])/3 - t[31]/6 + t[32]/3 - 
       (11*t[34])/6 + t[37]/2 + t[38]/6 - t[40]/6 - t[41]/12 - t[42]/12 - 
       (31*t[43])/48 - t[44]/6 + (43*t[45])/24 + t[46]/3 - (15*t[47])/4 + 
       (17*t[48])/12 - t[49]/16 - (73*t[51])/96 + (5*t[52])/6 + t[53]/16 + 
       t[54]/24 - t[58]/6 - t[59]/2 - (23*t[60])/6 - (403*t[61])/12 + 
       (321*t[62])/16 - (85*t[63])/16 + (383*t[64])/8 - (575*t[65])/72 + 
       (1273*t[66])/36 + t[69]/2 + (2*t[70])/3 - (2*t[71])/3 - (2*t[72])/3 + 
       3*t[73] - t[75] - (5*t[76])/3 - (4*t[77])/3 + (2*t[78])/3 + 2*t[79] - 
       (19*t[80])/3 - t[81]/6 - (11*t[82])/6 - (107*t[83])/12 + 
       (23*t[84])/24 - (25*t[85])/24 - (7*t[86])/6 + (7*t[87])/24 + 
       (7*t[88])/48 + (127*t[89])/24 - t[97]/3 - 4*t[98] + (43*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      (-t[1]/3 - (79*t[2])/8 + (11*t[3])/24 + (11*t[4])/8 - (55*t[5])/48 + 
       (85*t[6])/24 - (171*t[7])/16 - (37*t[8])/16 - (137*t[9])/24 + 
       (9*t[10])/2 - (281*t[11])/16 - (79*t[12])/24 - (10349*t[13])/864 - 
       (3715*t[14])/288 - (1201*t[15])/144 - t[18]/3 - t[20]/3 - t[21]/3 + 
       t[22]/3 + t[23]/3 - (2*t[24])/3 - (2*t[27])/3 + (4*t[29])/3 - t[30] - 
       t[31]/2 - t[32]/3 - (11*t[34])/6 + (3*t[37])/2 + t[38]/6 + t[40]/2 - 
       t[41]/3 + t[42]/6 - (43*t[43])/48 - t[44]/6 - t[45]/24 - t[46]/2 + 
       (9*t[47])/4 + (61*t[48])/16 - (7*t[49])/48 - (113*t[50])/48 + 
       (7*t[51])/96 + (121*t[52])/48 + (7*t[53])/48 + (151*t[54])/48 + 
       t[58]/6 - t[59]/2 - (23*t[60])/6 - (403*t[61])/12 + (321*t[62])/16 - 
       (85*t[63])/16 + (383*t[64])/8 - (575*t[65])/72 + (1273*t[66])/36 + 
       t[69]/2 + (2*t[70])/3 - (2*t[71])/3 - (2*t[72])/3 + 3*t[73] - t[75] - 
       (5*t[76])/3 - (4*t[77])/3 + (2*t[78])/3 + 2*t[79] - (19*t[80])/3 - 
       t[81]/6 - (11*t[82])/6 - (107*t[83])/12 + (23*t[84])/24 - 
       (25*t[85])/24 - (7*t[86])/6 + (7*t[87])/24 + (7*t[88])/48 + 
       (127*t[89])/24 - t[97]/3 - 4*t[98] + (43*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      (-t[1]/24 + (11*t[2])/48 - (101*t[3])/64 - (29*t[4])/192 - 
       (851*t[5])/192 + (793*t[6])/128 - (343*t[7])/384 + (1349*t[8])/384 + 
       (449*t[9])/96 - (541*t[10])/128 - (611*t[11])/128 + (113*t[12])/64 + 
       (5143*t[13])/1728 - (7325*t[14])/1152 - (3919*t[15])/2304 + t[18]/12 + 
       t[20]/2 - t[23]/12 - t[24]/12 + t[26]/2 - (37*t[31])/48 + 
       (3*t[32])/2 - t[33] + t[39] - 2*t[40] - t[41]/8 - (19*t[42])/24 + 
       (107*t[43])/384 - (3*t[44])/4 - (127*t[45])/48 - (11*t[46])/12 + 
       (97*t[47])/24 + (587*t[48])/384 - (163*t[49])/48 + (457*t[50])/128 + 
       (145*t[51])/96 - (137*t[52])/128 + (163*t[53])/48 - (235*t[54])/384 + 
       t[58]/2 - (13*t[59])/48 - (1627*t[60])/192 - (403*t[61])/24 + 
       (3035*t[62])/192 - (3209*t[63])/192 + (1325*t[64])/192 + 
       (521*t[65])/288 + (2837*t[66])/288 - t[70]/4 + t[71]/4 + t[74]/12 - 
       (7*t[76])/2 - t[77]/2 + 2*t[78] + t[79]/16 + (283*t[80])/48 - 
       (181*t[81])/96 - (11*t[82])/96 - (7*t[83])/24 + (7*t[84])/24 - 
       (1019*t[85])/192 - (309*t[86])/32 + (1979*t[87])/192 + 
       (1979*t[88])/384 + (723*t[89])/128 - t[97]/2 - 24*t[98] + 24*t[99] + 
       (43*t[100])/4) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      ((2*t[1])/3 - (33*t[2])/4 - (41*t[3])/12 - 18*t[4] + (169*t[5])/24 - 
       (97*t[6])/12 + (61*t[7])/8 - (33*t[8])/8 - (7*t[9])/12 + 
       (67*t[10])/8 + (59*t[11])/8 + (17*t[12])/24 + (2909*t[13])/432 - 
       (20*t[14])/9 - (7*t[15])/4 + (2*t[18])/3 + (2*t[20])/3 + (2*t[21])/3 - 
       (2*t[22])/3 - (2*t[23])/3 + (4*t[24])/3 + (4*t[27])/3 + t[28] + 
       t[29]/3 - t[31] + (5*t[32])/3 - t[33] + (11*t[34])/3 - t[36] + t[37] - 
       t[38]/3 + t[39] - 2*t[40] + t[41]/6 + t[42]/6 + (19*t[43])/24 - 
       (2*t[44])/3 - (29*t[45])/12 + (13*t[47])/2 - (35*t[48])/8 - t[49]/3 + 
       (59*t[50])/24 + (2*t[51])/3 - (67*t[52])/24 + t[53]/3 - 
       (79*t[54])/24 - t[58]/3 - (17*t[60])/6 - (4*t[61])/3 - (365*t[62])/8 + 
       (17*t[63])/8 + 58*t[64] + (289*t[65])/18 - (188*t[66])/9 - 
       (4*t[70])/3 + (4*t[71])/3 + (4*t[72])/3 - 2*t[74] + t[75] + 
       (16*t[76])/3 - (4*t[77])/3 - (10*t[78])/3 - 2*t[79] + (47*t[80])/3 + 
       (23*t[81])/6 + (13*t[82])/6 + (22*t[83])/3 - (47*t[84])/12 + 
       (23*t[85])/6 + (82*t[86])/3 - (4*t[87])/3 - (2*t[88])/3 + 
       (7*t[89])/6 + (2*t[97])/3 + 32*t[98] - 38*t[99] + 11*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      (-t[1]/3 + (5*t[2])/6 + t[3]/6 - (25*t[4])/4 - (241*t[5])/24 - 
       (57*t[6])/4 + (103*t[7])/8 - (421*t[8])/24 + (241*t[9])/12 - 
       (25*t[10])/6 + (253*t[11])/24 + (26*t[12])/3 - (397*t[13])/432 + 
       (97*t[14])/48 - (139*t[15])/18 + (2*t[18])/3 - (2*t[20])/3 + 
       (2*t[21])/3 - (10*t[22])/3 - (2*t[23])/3 + (2*t[24])/3 - (4*t[25])/3 + 
       (2*t[26])/3 - t[29]/3 - (2*t[31])/3 - (5*t[32])/3 + t[33] + 
       (11*t[34])/3 - t[36] - t[38]/3 - t[39] + (4*t[40])/3 + (2*t[41])/3 - 
       t[42]/3 - (23*t[43])/24 + t[44]/3 - (67*t[45])/12 + (4*t[46])/3 + 
       (25*t[47])/2 - (101*t[48])/24 + (21*t[49])/8 + (13*t[50])/8 - 
       (35*t[51])/48 - (79*t[52])/24 - (21*t[53])/8 - (17*t[54])/24 + 
       t[58]/3 - (17*t[60])/6 - (4*t[61])/3 - (365*t[62])/8 + (17*t[63])/8 + 
       58*t[64] + (289*t[65])/18 - (188*t[66])/9 - (4*t[70])/3 + 
       (4*t[71])/3 + (4*t[72])/3 - 2*t[74] + t[75] + (16*t[76])/3 - 
       (4*t[77])/3 - (10*t[78])/3 - 2*t[79] + (47*t[80])/3 + (23*t[81])/6 + 
       (13*t[82])/6 + (22*t[83])/3 - (47*t[84])/12 + (23*t[85])/6 + 
       (82*t[86])/3 - (4*t[87])/3 - (2*t[88])/3 + (7*t[89])/6 + (2*t[97])/3 + 
       32*t[98] - 38*t[99] + 11*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*(-t[1]/2 - (31*t[2])/3 - 
       (229*t[3])/24 + (135*t[5])/16 + (21*t[6])/16 + (31*t[7])/6 + 
       (9*t[8])/4 - (697*t[9])/48 + (167*t[10])/12 + (155*t[11])/48 - 
       (115*t[12])/16 + (55*t[13])/8 - (143*t[14])/72 + (37*t[15])/96 - 
       t[18]/3 - t[19] - t[21]/2 + t[23]/2 + t[28] - t[30] - t[31] + 
       4*t[35] + 3*t[37] + t[39] - t[40]/2 + (13*t[41])/12 + (11*t[42])/12 + 
       (61*t[43])/24 + (59*t[45])/3 - t[46]/3 - (70*t[47])/3 + 
       (27*t[48])/16 + (35*t[49])/12 + (5*t[50])/48 + (13*t[51])/24 - 
       (5*t[52])/48 - (35*t[53])/12 - (133*t[54])/48 - t[59] + 
       (199*t[60])/24 - (107*t[61])/8 - (163*t[62])/48 - (145*t[63])/48 + 
       (67*t[64])/16 - (245*t[65])/72 - (151*t[66])/8 + (3*t[69])/2 + 
       (3*t[72])/2 - (13*t[74])/3 + t[77]/2 + 7*t[79] - (169*t[80])/3 - 
       (4*t[81])/3 + (4*t[82])/3 + (31*t[83])/12 - (31*t[84])/24 - 
       (17*t[85])/24 - (23*t[86])/6 + (31*t[87])/24 + (31*t[88])/48 + 
       (215*t[89])/16 + (23*t[100])/2) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((7*t[1])/12 + (41*t[2])/16 + (373*t[3])/192 + 
       (71*t[4])/24 - (1795*t[5])/384 - (523*t[6])/64 + (571*t[7])/64 + 
       (425*t[8])/192 + (3295*t[9])/384 + (397*t[10])/64 + (2399*t[11])/192 + 
       (677*t[12])/128 + (29215*t[13])/3456 + (689*t[14])/128 - 
       (1645*t[15])/2304 + t[18]/3 + t[20]/3 + t[21]/3 - t[22]/3 - t[23]/3 + 
       t[24]/6 + t[26]/4 + (2*t[27])/3 + t[28]/2 + (5*t[29])/12 + t[30]/2 - 
       t[31] + t[32]/3 + (19*t[34])/12 - t[35] - (3*t[36])/4 - t[37]/2 - 
       t[38]/6 - t[40] + (5*t[41])/24 - t[42]/24 - (311*t[43])/96 + t[44]/6 + 
       (85*t[45])/96 - t[46]/2 - (3*t[47])/16 - (15*t[48])/8 + 
       (283*t[49])/96 + (25*t[50])/8 - (163*t[51])/192 - (49*t[52])/24 - 
       (283*t[53])/96 - (71*t[54])/16 + t[58]/12 + (13*t[59])/12 + 
       (245*t[60])/48 + (967*t[61])/96 - (6869*t[62])/192 - (617*t[63])/64 - 
       (2707*t[64])/192 + (3035*t[65])/288 - (809*t[66])/32 + t[69]/2 - 
       (5*t[70])/3 + (5*t[71])/3 + (2*t[72])/3 - (3*t[73])/4 - (5*t[74])/2 + 
       t[75]/4 + (5*t[76])/12 + (5*t[77])/6 - t[78]/6 + 2*t[79] + 
       (29*t[80])/24 + (25*t[81])/24 - (13*t[82])/24 + (55*t[83])/12 - 
       (29*t[84])/24 + (95*t[85])/48 + (829*t[86])/48 - (223*t[87])/48 - 
       (223*t[88])/96 - (457*t[89])/96 + t[97]/12 - 2*t[98] + 2*t[99] + 
       (23*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((-85*t[1])/144 + (13*t[2])/9 - (365*t[3])/144 - 
       (2957*t[4])/144 - (1475*t[5])/144 - (4787*t[6])/576 + 
       (6419*t[7])/192 + (14551*t[8])/576 + (6355*t[9])/192 + 
       (3017*t[10])/144 + (17189*t[11])/576 + (4051*t[12])/192 + 
       (83935*t[13])/5184 + (15613*t[14])/1152 - (22841*t[15])/3456 - 
       (19*t[18])/72 - t[21]/2 - t[23]/36 - (19*t[24])/36 - (131*t[31])/72 - 
       (47*t[41])/144 - (65*t[42])/144 - (1843*t[43])/192 + 
       (4181*t[45])/288 - (73*t[46])/48 - (287*t[47])/144 - 
       (1025*t[48])/576 + (535*t[49])/576 + (1439*t[50])/576 + 
       (779*t[51])/1152 - (1439*t[52])/576 - (535*t[53])/576 - 
       (127*t[54])/192 + (5*t[59])/6 + (71*t[60])/18 + (2149*t[61])/36 - 
       (16483*t[62])/144 - (571*t[63])/48 + (5123*t[64])/144 + 
       (4711*t[65])/108 - (6847*t[66])/108 + t[69] - (13*t[74])/2 + 
       (28*t[79])/3 - (287*t[80])/12 + (7*t[81])/6 - (7*t[82])/6 + 
       (61*t[83])/18 - (5*t[84])/12 + t[85]/6 + (2327*t[86])/36 - 
       (17*t[87])/9 - (17*t[88])/18 - (49*t[89])/8 + (35*t[100])/3) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - u]*(t[1]/3 + 4*t[3] + 
       (37*t[4])/2 - 14*t[5] - (65*t[6])/4 - (15*t[7])/2 - (11*t[8])/2 + 
       (11*t[9])/4 + 4*t[10] - (75*t[11])/4 + (5*t[12])/2 - (67*t[13])/9 - 
       (41*t[14])/6 - (79*t[15])/12 - 2*t[31] - (9*t[43])/2 - t[46] + 
       t[48]/4 + 3*t[49] + (9*t[50])/4 - (3*t[51])/4 - (9*t[52])/4 - 
       3*t[53] - (11*t[54])/4 + (11*t[59])/3 - 4*t[60] - 40*t[61] + 
       (33*t[62])/2 + (9*t[63])/2 - (85*t[64])/2 - (41*t[65])/6 + 
       (275*t[66])/6 + 2*t[69] - t[70] + t[71] - 2*t[74] - 4*t[79] - t[81] + 
       t[82] + (3*t[83])/2 - (3*t[84])/2 - 2*t[85] - 4*t[86] - 2*t[87] - 
       t[88] - (17*t[89])/2 + 12*t[100]) + HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - w]*(-2*t[2] + (3*t[3])/8 - (27*t[4])/4 + 
       (183*t[5])/16 + 3*t[6] + t[7]/2 + (13*t[8])/2 - (97*t[9])/16 + 
       (69*t[10])/8 + t[11]/2 - (13*t[12])/16 + (595*t[13])/144 - 
       (73*t[14])/24 + (239*t[15])/96 - 2*t[28] + t[30] - t[39] - t[43]/8 + 
       t[44] - (5*t[45])/4 + (5*t[47])/2 - t[48]/8 + (15*t[49])/8 + 
       (7*t[50])/8 - (3*t[51])/16 - (7*t[52])/8 - (15*t[53])/8 - 
       (21*t[54])/8 - (17*t[60])/4 - (11*t[61])/2 - (13*t[62])/8 + t[63]/8 + 
       (83*t[64])/8 + (3*t[65])/2 + (13*t[66])/6 - (3*t[72])/2 - t[77]/2 + 
       9*t[80] + 3*t[83] - (7*t[84])/4 + t[85]/4 + 4*t[86] + (11*t[87])/4 + 
       (11*t[88])/8 - (25*t[89])/8 + 12*t[100]) + HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - v]*((29*t[3])/8 + (7*t[4])/4 - (143*t[5])/16 - 
       (15*t[6])/2 - 2*t[7] - 6*t[8] + (77*t[9])/16 - 9*t[10] - 
       (11*t[11])/8 + (79*t[12])/16 - (173*t[13])/36 - (245*t[14])/48 - 
       (479*t[15])/96 - t[28] + t[30] - t[39] + t[40]/2 - (19*t[43])/8 - 
       (9*t[45])/4 + (9*t[47])/2 - (3*t[48])/2 - (3*t[49])/2 + t[50]/2 - 
       t[51]/4 - t[52]/2 + (3*t[53])/2 + t[54] - (17*t[60])/4 - 
       (11*t[61])/2 - (13*t[62])/8 + t[63]/8 + (83*t[64])/8 + (3*t[65])/2 + 
       (13*t[66])/6 - (3*t[72])/2 - t[77]/2 + 9*t[80] + 3*t[83] - 
       (7*t[84])/4 + t[85]/4 + 4*t[86] + (11*t[87])/4 + (11*t[88])/8 - 
       (25*t[89])/8 + 12*t[100]) + B10[v, w, u]*HPL[{1}, 1 - w]*
      (t[3] - 2*t[4] + (11*t[5])/2 - 4*t[6] - t[7] - 3*t[8] - (9*t[9])/2 + 
       2*t[10] - t[11] - t[12]/2 - (2*t[13])/3 - (25*t[14])/6 + 
       (11*t[15])/12 + 2*t[50] - 2*t[52] - 2*t[54] - 7*t[60] - 6*t[61] + 
       2*t[62] + 5*t[63] + 3*t[64] + 2*t[65] + (31*t[66])/3 - 2*t[81] + 
       2*t[82] + 2*t[83] - t[84] - 2*t[85] + 4*t[87] + 2*t[88] - t[89] + 
       12*t[100]) + B10[w, u, v]*HPL[{1}, 1 - v]*(t[3] - 4*t[4] + t[5]/2 - 
       t[6] + t[8] - t[9]/2 - 4*t[11] + t[12]/2 - (19*t[13])/6 - 2*t[14] - 
       t[15]/12 + 2*t[46] - t[49] - t[51]/2 + t[53] + 2*t[54] - 7*t[60] - 
       6*t[61] + 2*t[62] + 5*t[63] + 3*t[64] + 2*t[65] + (31*t[66])/3 - 
       2*t[81] + 2*t[82] + 2*t[83] - t[84] - 2*t[85] + 4*t[87] + 2*t[88] - 
       t[89] + 12*t[100]) + D26[v, u, w]*(4*t[1] - 2*t[2] + t[3] + t[4] - 
       (3*t[5])/2 - (11*t[6])/2 - 2*t[7] - 4*t[8] - (7*t[9])/2 - 
       (7*t[10])/2 - 2*t[11] - 4*t[12] - (151*t[13])/36 + (5*t[14])/12 + 
       (7*t[15])/12 - 2*t[41] + 2*t[42] + 3*t[43] + t[45] - t[47] - t[49]/2 + 
       t[51]/4 + t[53]/2 - t[54] - 2*t[59] - 3*t[60] - 15*t[61] + 
       (3*t[62])/2 - (15*t[63])/2 + (7*t[64])/2 + (5*t[65])/3 + 5*t[66] - 
       4*t[70] + 4*t[71] + 4*t[80] - t[84] + t[85] + 4*t[86] + t[87] + 
       t[88]/2 + (3*t[89])/2 + 12*t[100]) + D26[w, u, v]*
      (-2*t[1] + 2*t[3] + t[5]/2 - t[6] + t[7] + 7*t[8] + t[9]/2 + 3*t[10] - 
       (21*t[11])/2 + (3*t[12])/2 + (77*t[13])/36 - 5*t[14] - (13*t[15])/12 + 
       4*t[18] + 4*t[21] + 4*t[24] - 2*t[43] - 3*t[45] + 5*t[47] - t[48]/2 - 
       t[50]/2 + t[52]/2 + t[54]/2 - 2*t[59] - 3*t[60] - 15*t[61] + 
       (3*t[62])/2 - (15*t[63])/2 + (7*t[64])/2 + (5*t[65])/3 + 5*t[66] - 
       4*t[70] + 4*t[71] + 4*t[80] - t[84] + t[85] + 4*t[86] + t[87] + 
       t[88]/2 + (3*t[89])/2 + 12*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*((43*t[1])/2 + (43*t[2])/2 - (295*t[3])/8 - 
       (319*t[4])/4 - (4135*t[5])/16 - (383*t[6])/8 + (2319*t[7])/4 + 
       (81*t[8])/2 + (7205*t[9])/16 + (2581*t[10])/8 + (457*t[11])/2 + 
       (6717*t[12])/16 + (131*t[13])/36 + (9571*t[14])/24 - (7271*t[15])/96 - 
       12*t[16] + 3*t[17] + 14*t[18] - 12*t[19] - 28*t[20] + 14*t[21] - 
       74*t[22] - 14*t[23] - 50*t[24] + 12*t[25] + 60*t[26] + 70*t[27] - 
       24*t[28] + 4*t[29] + 30*t[30] + 80*t[32] - 90*t[33] + 116*t[34] - 
       36*t[36] - t[38] + 78*t[39] - 90*t[40] + (41*t[41])/2 - (27*t[42])/2 + 
       (43*t[43])/8 + 43*t[44] - (343*t[45])/2 + (81*t[46])/2 + 201*t[47] - 
       (1839*t[48])/8 + (147*t[49])/8 - (343*t[50])/8 - (433*t[51])/16 - 
       (169*t[52])/8 - (147*t[53])/8 - (215*t[54])/8 - 6*t[56] - 7*t[58] + 
       9*t[59] + (617*t[60])/2 + (1741*t[61])/4 - (4945*t[62])/8 + 
       (1681*t[63])/8 - (2267*t[64])/8 + (4805*t[65])/12 - (1181*t[66])/4 + 
       12*t[67] + 12*t[68] - 28*t[70] + 28*t[71] - 8*t[72] - 102*t[73] - 
       156*t[74] + 102*t[75] + 262*t[76] + 110*t[77] - 232*t[78] - 12*t[79] + 
       509*t[80] + 97*t[81] + 125*t[82] + 64*t[83] - 44*t[84] + 
       (705*t[85])/2 + (629*t[86])/2 - (1005*t[87])/2 - (1005*t[88])/4 - 
       (111*t[89])/4 + 12*t[92] - 12*t[93] - 12*t[94] + 20*t[97] + 
       1320*t[98] - 1692*t[99] + 12*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((61*t[1])/2 - 266*t[2] + (319*t[3])/8 + 
       (153*t[4])/4 - (1021*t[5])/16 - (431*t[6])/4 + (2547*t[7])/8 - 
       (973*t[8])/8 + (10689*t[9])/16 - (745*t[10])/2 + 46*t[11] + 
       (1739*t[12])/16 + (13049*t[13])/144 + (41*t[14])/4 - 
       (23975*t[15])/96 - 3*t[17] + 26*t[18] - 8*t[20] + 26*t[21] - 
       70*t[22] - 26*t[23] + 98*t[24] - 64*t[25] - 46*t[26] - 6*t[27] - 
       22*t[29] + 24*t[30] + 16*t[31] - 8*t[32] + 102*t[33] + 116*t[34] - 
       54*t[36] + 3*t[38] - 90*t[39] - 2*t[40] + (19*t[41])/2 + (7*t[42])/2 - 
       (61*t[43])/4 + 7*t[44] + (5*t[45])/4 - (121*t[46])/2 + (195*t[47])/2 - 
       (643*t[48])/8 + (987*t[49])/8 - (11*t[50])/8 + (451*t[51])/16 - 
       (437*t[52])/8 - (987*t[53])/8 - (963*t[54])/8 + 7*t[58] + 9*t[59] + 
       (617*t[60])/2 + (1741*t[61])/4 - (4945*t[62])/8 + (1681*t[63])/8 - 
       (2267*t[64])/8 + (4805*t[65])/12 - (1181*t[66])/4 + 12*t[67] + 
       12*t[68] - 28*t[70] + 28*t[71] - 8*t[72] - 102*t[73] - 156*t[74] + 
       102*t[75] + 262*t[76] + 110*t[77] - 232*t[78] - 12*t[79] + 509*t[80] + 
       97*t[81] + 125*t[82] + 64*t[83] - 44*t[84] + (705*t[85])/2 + 
       (629*t[86])/2 - (1005*t[87])/2 - (1005*t[88])/4 - (111*t[89])/4 + 
       12*t[92] - 12*t[93] - 12*t[94] + 20*t[97] + 1320*t[98] - 1692*t[99] + 
       12*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-5*t[1])/6 + (3*t[2])/2 + (161*t[3])/6 + 
       (7*t[4])/2 + (203*t[5])/12 - (47*t[6])/6 - (151*t[7])/4 - 
       (221*t[8])/4 - (160*t[9])/3 + 23*t[10] - (235*t[11])/4 - 
       (247*t[12])/6 - (10547*t[13])/216 - (2443*t[14])/72 + (34*t[15])/3 - 
       (16*t[18])/3 - (10*t[20])/3 - (16*t[21])/3 - (2*t[22])/3 + 
       (16*t[23])/3 - (20*t[24])/3 - 2*t[25] + t[26] - (2*t[27])/3 - 
       2*t[28] + (4*t[29])/3 - 2*t[30] - (4*t[32])/3 - (37*t[34])/3 - 
       t[38]/3 + 4*t[40] - (23*t[41])/6 + (13*t[42])/6 + (65*t[43])/12 + 
       (10*t[44])/3 + (101*t[45])/6 - 39*t[47] - (9*t[48])/4 + (5*t[49])/12 - 
       (47*t[50])/12 - (53*t[51])/24 + (43*t[52])/12 - (5*t[53])/12 - 
       (35*t[54])/12 - (7*t[58])/3 + (9*t[59])/2 - (341*t[60])/6 - 
       (311*t[61])/6 + (131*t[62])/2 + (167*t[63])/2 - (215*t[64])/4 - 
       (823*t[65])/9 + (2159*t[66])/18 + (20*t[70])/3 - (20*t[71])/3 - 
       (2*t[72])/3 + 4*t[74] - (32*t[76])/3 + (11*t[77])/3 + (2*t[78])/3 - 
       (136*t[80])/3 - (20*t[81])/3 - (7*t[82])/3 - (8*t[83])/3 - 
       (23*t[84])/3 - (8*t[85])/3 - (116*t[86])/3 + (59*t[87])/3 + 
       (59*t[88])/6 - (421*t[89])/12 - t[97]/3 - 40*t[98] + 24*t[99] + 
       12*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-17*t[1])/8 + (14*t[2])/9 + (2425*t[3])/288 + (287*t[4])/144 + 
       (10217*t[5])/576 + (53*t[6])/24 - (749*t[7])/32 - (683*t[8])/288 - 
       (7423*t[9])/192 + (2185*t[10])/144 - (755*t[11])/36 - 
       (2945*t[12])/192 - (37237*t[13])/5184 - (4511*t[14])/288 + 
       (29759*t[15])/3456 - (5*t[18])/4 - t[19]/2 + (5*t[20])/6 - 
       (13*t[21])/6 + (11*t[22])/12 + (59*t[23])/18 - (2*t[24])/9 + 
       (5*t[25])/6 - (2*t[26])/3 + (5*t[27])/6 - t[28]/2 + (2*t[29])/3 + 
       (3*t[30])/4 + (23*t[31])/18 + (25*t[32])/12 - t[33]/2 - (3*t[34])/2 + 
       (11*t[35])/6 + (7*t[37])/6 - t[38]/4 - (4*t[40])/3 - (61*t[41])/36 + 
       (85*t[42])/36 + (61*t[43])/16 + t[44]/4 + (113*t[45])/36 - 
       (17*t[46])/24 - (263*t[47])/18 - (293*t[48])/288 + (859*t[49])/288 - 
       (565*t[50])/288 - (1105*t[51])/576 + (1381*t[52])/288 - 
       (859*t[53])/288 - (89*t[54])/32 - (11*t[58])/12 - (143*t[59])/72 - 
       (305*t[60])/18 - (7459*t[61])/144 + (731*t[62])/18 + (74*t[63])/3 - 
       (133*t[64])/18 - (13135*t[65])/432 + (21553*t[66])/432 - t[67]/12 + 
       t[69] + (5*t[70])/2 - (5*t[71])/2 - t[72] + (3*t[73])/4 + 
       (19*t[74])/6 - t[75]/4 - (3*t[76])/4 + t[77]/2 - (5*t[78])/4 + 
       (5*t[79])/12 - (52*t[80])/3 - (5*t[81])/3 + (7*t[82])/6 - 
       (107*t[83])/36 - (25*t[84])/8 + (103*t[85])/24 - (569*t[86])/36 + 
       t[87]/72 + t[88]/144 - (153*t[89])/16 + 3*t[98] - 8*t[99] + 
       (37*t[100])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - v]*((-37*t[1])/4 + (251*t[2])/24 - (25*t[3])/3 - 
       (67*t[4])/2 - (23*t[5])/2 + (199*t[6])/48 + (817*t[7])/12 + 
       (327*t[8])/8 + (220*t[9])/3 - (235*t[10])/24 + (4399*t[11])/48 + 
       (113*t[12])/4 + (1541*t[13])/36 + (6031*t[14])/144 - (239*t[15])/16 + 
       (7*t[17])/4 - (5*t[18])/6 - 2*t[21] + t[23]/2 - (3*t[24])/2 - 
       2*t[25] + 2*t[31] - t[35] - t[37] + 2*t[38] + (29*t[41])/12 - 
       (13*t[42])/4 - (65*t[43])/12 + (85*t[45])/12 + (5*t[46])/6 + 
       (91*t[47])/3 - (23*t[48])/16 + (17*t[49])/6 - (365*t[50])/48 - 
       (25*t[51])/24 + (365*t[52])/48 - (17*t[53])/6 + (205*t[54])/48 + 
       (5*t[59])/6 + (449*t[60])/24 + (1413*t[61])/8 - (10739*t[62])/48 - 
       (1025*t[63])/48 + (1391*t[64])/16 + (589*t[65])/9 - (505*t[66])/2 - 
       t[67]/4 + 2*t[69] + t[70] - t[71] - 2*t[72] - (37*t[74])/6 + 2*t[77] + 
       16*t[79] + (43*t[80])/3 + (73*t[81])/12 - (73*t[82])/12 + 
       (5*t[83])/3 + (2*t[84])/3 + (419*t[85])/24 + (749*t[86])/6 - 
       (523*t[87])/24 - (523*t[88])/48 - (89*t[89])/16 + (25*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((-13*t[1])/24 - (163*t[2])/288 + (151*t[3])/36 + (937*t[4])/144 + 
       (151*t[5])/576 - (395*t[6])/576 - (967*t[7])/96 - (821*t[8])/144 - 
       (383*t[9])/64 + (1261*t[10])/288 - (109*t[11])/576 - (139*t[12])/192 + 
       (3137*t[13])/2592 - (1451*t[14])/192 - (8783*t[15])/3456 - t[18]/24 - 
       t[19]/4 + t[20]/12 - (5*t[21])/12 - (25*t[22])/24 + (23*t[23])/36 + 
       (5*t[24])/36 + (5*t[27])/12 - t[28]/4 + t[29]/6 + t[30]/8 + 
       (2*t[31])/9 - t[32]/24 + t[33]/8 - (13*t[34])/8 - t[36]/4 + t[37]/4 + 
       t[38]/3 - (3*t[39])/8 + (9*t[40])/16 + (37*t[41])/144 - 
       (11*t[42])/144 + (107*t[43])/96 - t[44]/3 + (155*t[45])/288 - 
       (7*t[46])/8 - (47*t[47])/36 - (1247*t[48])/576 + (311*t[49])/288 - 
       (511*t[50])/576 - (23*t[51])/576 + (127*t[52])/576 - (311*t[53])/288 - 
       (439*t[54])/192 - t[58]/6 - (47*t[59])/288 - (529*t[60])/288 - 
       (2227*t[61])/288 + (2725*t[62])/288 - (275*t[63])/96 - 
       (359*t[64])/72 + (1589*t[65])/864 - (2063*t[66])/864 + t[69]/4 + 
       t[70]/12 - t[71]/12 - t[72]/12 - t[73]/8 + t[75]/8 - (43*t[76])/48 - 
       (7*t[77])/24 + t[78]/12 + (11*t[79])/8 - (11*t[80])/3 + (3*t[81])/16 + 
       t[82]/16 + (29*t[83])/36 - (115*t[84])/96 + (241*t[85])/96 - 
       (1897*t[86])/144 - (211*t[87])/288 - (211*t[88])/576 - (7*t[89])/64 - 
       (5*t[97])/48 - (13*t[98])/2 + (9*t[99])/2 + (41*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, v, u]*((7*t[1])/4 + (13*t[2])/12 - 
       (13*t[3])/12 - t[4]/4 - (27*t[5])/8 + (7*t[6])/2 - (13*t[7])/6 + 
       (3*t[8])/2 - (37*t[9])/24 - (115*t[10])/24 - (26*t[11])/3 - 
       (41*t[13])/18 - (1067*t[14])/144 + (11*t[15])/48 + t[26]/2 + t[32] - 
       t[33] - t[34]/2 + t[39] - 2*t[40] + (5*t[41])/12 - (5*t[42])/12 + 
       (13*t[43])/12 - (7*t[45])/6 + t[46]/3 - (2*t[47])/3 + (7*t[48])/4 - 
       (85*t[49])/24 + (37*t[50])/12 + (49*t[51])/48 - (7*t[52])/12 + 
       (85*t[53])/24 + (5*t[54])/6 + t[58]/2 - t[59]/4 - (113*t[60])/12 - 
       (99*t[61])/4 + (587*t[62])/24 - (475*t[63])/24 + (31*t[64])/8 - 
       (23*t[65])/36 + (83*t[66])/4 + (4*t[74])/3 - (7*t[76])/2 - t[77]/2 + 
       2*t[78] - (5*t[80])/3 - (13*t[81])/6 + t[82]/6 + (2*t[83])/3 - 
       t[84]/12 - (53*t[85])/12 - (32*t[86])/3 + (133*t[87])/12 + 
       (133*t[88])/24 + (53*t[89])/8 - t[97]/2 - 24*t[98] + 24*t[99] + 
       14*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - w]*
      (t[1]/2 + (43*t[3])/8 + (521*t[4])/144 + (91*t[5])/24 - (125*t[6])/12 + 
       (13*t[7])/4 + (5*t[8])/2 - (121*t[9])/24 - (139*t[10])/288 + 
       (247*t[11])/72 - (1655*t[12])/288 - (199*t[13])/54 - 
       (5273*t[14])/1728 - (1655*t[15])/288 - t[16]/12 - (4*t[25])/3 + 
       (4*t[26])/9 - (3*t[28])/2 - (5*t[31])/2 + (3*t[35])/2 + (2*t[36])/3 - 
       t[37]/6 + (17*t[38])/18 - (3*t[39])/2 + (3*t[40])/2 - (5*t[43])/6 - 
       (3*t[45])/2 - t[46]/3 + 3*t[47] - (5*t[48])/4 + (341*t[49])/96 + 
       3*t[50] - (509*t[51])/192 - 3*t[52] - (461*t[53])/96 - 
       (215*t[54])/48 + (5*t[59])/18 + (319*t[60])/144 - (2449*t[61])/144 - 
       (1055*t[62])/32 - (721*t[63])/288 + (8183*t[64])/288 - 
       (2563*t[65])/432 + (3443*t[66])/432 + t[67]/12 + (2*t[69])/3 - 
       (5*t[70])/6 + (13*t[71])/18 - (11*t[74])/6 - (5*t[75])/6 - 
       (3*t[77])/2 - (3*t[78])/2 + (7*t[79])/3 + (5*t[80])/2 - 
       (17*t[81])/12 + (23*t[82])/12 + (23*t[83])/4 - (169*t[84])/144 - 
       (37*t[85])/48 + (75*t[86])/2 + (329*t[87])/144 + (329*t[88])/288 - 
       (1795*t[89])/288 - 2*t[99] + (59*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
      ((-7*t[2])/3 + (49*t[3])/144 - (117*t[4])/8 - (125*t[5])/24 - 
       (3199*t[6])/288 + (217*t[7])/9 - (385*t[8])/36 + (2269*t[9])/144 + 
       (145*t[10])/48 + (127*t[11])/288 + (263*t[12])/48 - (857*t[13])/144 + 
       (173*t[14])/216 - (391*t[15])/72 - (5*t[18])/18 - t[20]/2 + t[22]/2 - 
       (2*t[23])/3 - (2*t[24])/3 - (3*t[28])/2 - (7*t[29])/6 + t[30]/12 - 
       (2*t[31])/3 + (7*t[32])/12 - (7*t[33])/12 + (5*t[34])/6 + t[35]/3 + 
       (3*t[36])/2 + t[37]/2 + (5*t[41])/12 - (11*t[42])/12 - 3*t[43] + 
       (13*t[44])/6 + (17*t[45])/3 - (11*t[47])/6 - (1969*t[48])/288 - 
       (27*t[49])/16 + (1783*t[50])/288 + (27*t[51])/32 - (1783*t[52])/288 + 
       (27*t[53])/16 - (955*t[54])/288 + (5*t[59])/18 + (319*t[60])/144 - 
       (2449*t[61])/144 - (1055*t[62])/32 - (721*t[63])/288 + 
       (8183*t[64])/288 - (2563*t[65])/432 + (3443*t[66])/432 + t[67]/12 + 
       (2*t[69])/3 - (5*t[70])/6 + (13*t[71])/18 - (11*t[74])/6 - 
       (5*t[75])/6 - (3*t[77])/2 - (3*t[78])/2 + (7*t[79])/3 + (5*t[80])/2 - 
       (17*t[81])/12 + (23*t[82])/12 + (23*t[83])/4 - (169*t[84])/144 - 
       (37*t[85])/48 + (75*t[86])/2 + (329*t[87])/144 + (329*t[88])/288 - 
       (1795*t[89])/288 - 2*t[99] + (59*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      ((37*t[1])/4 - (3*t[2])/2 + 3*t[3] + 19*t[4] + (137*t[5])/8 + 
       (57*t[6])/8 - (39*t[7])/4 - (59*t[8])/4 - (53*t[9])/8 + (21*t[10])/4 - 
       (47*t[11])/8 - (269*t[12])/8 + (13*t[13])/3 - (79*t[14])/12 - 
       (161*t[15])/48 - t[16] - 3*t[25] - 8*t[26] - 2*t[36] + 11*t[38] + 
       (3*t[40])/2 + 4*t[43] + (3*t[45])/2 - 3*t[47] - (41*t[48])/8 + 
       10*t[49] - (41*t[50])/8 + (5*t[51])/2 + (41*t[52])/8 - 10*t[53] - 
       (95*t[54])/8 - (35*t[59])/4 + (87*t[60])/4 - (277*t[61])/4 + 
       (217*t[62])/8 - (629*t[63])/8 - (29*t[64])/8 + (211*t[65])/12 + 
       (107*t[66])/4 + t[68] - 3*t[69] + 3*t[70] - 3*t[71] - 3*t[72] + 
       24*t[76] + 6*t[77] - 32*t[78] - 6*t[80] + 2*t[81] - (29*t[82])/2 + 
       t[84]/4 + (103*t[85])/4 + 7*t[86] - (105*t[87])/4 - (105*t[88])/8 + 
       (271*t[89])/8 + t[90] + 144*t[98] - 192*t[99] + 15*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*(18*t[2] + (5*t[3])/4 + 
       (73*t[4])/4 - (169*t[5])/8 + (19*t[6])/2 - (47*t[7])/2 + 57*t[8] + 
       (57*t[9])/8 + (17*t[10])/8 - (15*t[11])/2 - (49*t[12])/4 - 
       (11*t[13])/12 - (41*t[14])/16 - (727*t[15])/48 + 3*t[20] - 3*t[21] + 
       3*t[27] + 11*t[32] - 8*t[33] + 2*t[34] + 8*t[39] - 11*t[40] - 
       (5*t[41])/2 + (7*t[42])/4 - (3*t[43])/4 - 6*t[45] + 17*t[47] - 
       (19*t[48])/4 + (23*t[49])/8 - (19*t[50])/4 - (23*t[51])/16 + 
       (31*t[52])/4 - (23*t[53])/8 - (5*t[54])/2 - (35*t[59])/4 + 
       (87*t[60])/4 - (277*t[61])/4 + (217*t[62])/8 - (629*t[63])/8 - 
       (29*t[64])/8 + (211*t[65])/12 + (107*t[66])/4 + t[68] - 3*t[69] + 
       3*t[70] - 3*t[71] - 3*t[72] + 24*t[76] + 6*t[77] - 32*t[78] - 
       6*t[80] + 2*t[81] - (29*t[82])/2 + t[84]/4 + (103*t[85])/4 + 7*t[86] - 
       (105*t[87])/4 - (105*t[88])/8 + (271*t[89])/8 + t[90] + 144*t[98] - 
       192*t[99] + 15*t[100]) + HPL[{0, 1}, 1 - w]*M1[w, u, v]*
      ((5*t[1])/2 - (5*t[2])/4 + (83*t[3])/16 + (63*t[4])/8 - (277*t[5])/32 + 
       (55*t[6])/16 + (13*t[7])/8 - (7*t[8])/4 + (151*t[9])/32 - 
       (333*t[10])/16 + (13*t[11])/2 + (103*t[12])/32 + (40*t[13])/9 - 
       (613*t[14])/48 - (5743*t[15])/576 + t[18] + t[21] + t[22] - t[23] + 
       t[24] - t[25] + t[26]/2 - t[27] - t[29] - t[30] + t[31] - t[32] + 
       t[33] - (7*t[34])/2 + t[36] + 2*t[38] - t[39] + (3*t[40])/2 + 
       t[42]/2 - (63*t[43])/16 + t[44]/2 - (3*t[45])/4 - t[46]/4 + 8*t[47] + 
       (47*t[48])/16 - (59*t[49])/16 + (7*t[50])/16 + (97*t[51])/32 - 
       (31*t[52])/16 + (59*t[53])/16 + (23*t[54])/16 + t[58] - t[59]/2 + 
       (5*t[60])/4 + (103*t[61])/8 - (25*t[62])/16 - (711*t[63])/16 + 
       (251*t[64])/16 + (647*t[65])/24 - (355*t[66])/24 + t[69] - t[70] + 
       t[71] - t[72] + 2*t[73] - 2*t[75] - (7*t[76])/2 + t[77] + 3*t[78] - 
       (15*t[80])/2 - (3*t[81])/2 - 6*t[82] - 2*t[83] + 4*t[84] - 4*t[85] + 
       (7*t[86])/4 + 12*t[87] + 6*t[88] + (155*t[89])/8 - t[97] - 24*t[98] + 
       30*t[99] + 15*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((-13*t[1])/12 + (77*t[2])/12 - 
       (17*t[3])/24 + (481*t[4])/24 - (407*t[5])/16 - (301*t[6])/24 + 
       (19*t[7])/6 - (97*t[8])/6 + (1057*t[9])/48 - (247*t[10])/48 - 
       (23*t[11])/8 + (19*t[12])/8 - (829*t[13])/432 + (245*t[14])/288 - 
       (367*t[15])/32 - t[19] - t[21] + t[23] + 2*t[28] - t[30] - t[31] + 
       2*t[35] + t[37] + t[39] + t[41]/3 - t[42]/3 - (19*t[43])/24 - t[44] + 
       (71*t[45])/12 - (7*t[46])/3 - (35*t[47])/6 - (7*t[48])/2 + 
       (115*t[49])/48 + (10*t[50])/3 - (91*t[51])/96 - (10*t[52])/3 - 
       (115*t[53])/48 - (7*t[54])/24 + (7*t[59])/6 + (197*t[60])/24 - 
       (485*t[61])/24 - (173*t[62])/16 - (277*t[63])/48 + (61*t[64])/48 + 
       (71*t[65])/72 - (499*t[66])/72 + (3*t[69])/2 + (3*t[72])/2 - 
       (16*t[74])/3 + t[77]/2 + 7*t[79] - (169*t[80])/3 - (11*t[81])/6 + 
       (11*t[82])/6 + (47*t[83])/12 - (31*t[84])/24 - (59*t[85])/24 + 
       3*t[86] + (41*t[87])/24 + (41*t[88])/48 + (193*t[89])/16 + 
       (31*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((211*t[1])/36 + (35*t[2])/12 - (141*t[3])/16 - 
       (125*t[4])/8 + (301*t[5])/32 + (1121*t[6])/24 - (697*t[7])/48 + 
       (199*t[8])/16 - (549*t[9])/32 + (97*t[10])/3 - (181*t[11])/6 - 
       (137*t[12])/96 - (12905*t[13])/864 + (4015*t[14])/144 + 
       (7541*t[15])/576 + t[16]/2 - t[17]/12 - (2*t[19])/3 + t[20]/2 + 
       t[21]/2 + t[22]/3 - t[23]/2 + t[24]/6 - (5*t[25])/2 + (23*t[26])/6 - 
       t[27]/2 + t[29] + (17*t[31])/2 + (8*t[32])/3 - (5*t[33])/2 - 3*t[34] + 
       (7*t[35])/2 + (16*t[36])/3 + (4*t[37])/3 + (5*t[38])/6 + 
       (16*t[39])/3 - (23*t[40])/3 + (19*t[41])/12 - (19*t[42])/12 + 
       (25*t[43])/4 - t[44] + (35*t[45])/8 - (23*t[46])/6 - (199*t[47])/12 + 
       (583*t[48])/48 - (5*t[49])/48 + (71*t[50])/48 - (57*t[51])/32 + 
       (449*t[52])/48 + (205*t[53])/48 + (619*t[54])/48 + (13*t[58])/6 - 
       (14*t[59])/9 + (107*t[60])/4 + (189*t[61])/8 + (1387*t[62])/16 + 
       (1171*t[63])/48 - (2563*t[64])/16 - (979*t[65])/18 - (1307*t[66])/36 - 
       (11*t[68])/6 - 4*t[69] - (4*t[70])/3 + (4*t[71])/3 - (15*t[72])/2 - 
       4*t[73] + (13*t[74])/3 + t[75]/2 - (22*t[76])/3 + t[77]/4 - t[78]/6 - 
       10*t[79] - (67*t[80])/2 - t[81]/12 - (17*t[82])/6 - (13*t[83])/2 - 
       (47*t[84])/24 - (25*t[85])/3 - (455*t[86])/4 + (23*t[87])/12 - 
       (131*t[88])/24 - (295*t[89])/24 + (2*t[95])/3 + (17*t[96])/3 - t[97] - 
       80*t[98] + 95*t[99] + (31*t[100])/2) + HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((-7*t[1])/24 - (5*t[2])/24 - 
       (109*t[3])/96 - (3*t[4])/16 - (121*t[5])/192 + (101*t[6])/16 - 
       (151*t[7])/32 + (1627*t[8])/96 - (1483*t[9])/192 + (233*t[10])/48 - 
       (5*t[11])/12 - (173*t[12])/192 + (1945*t[13])/1728 - (37*t[14])/96 + 
       (1877*t[15])/1152 - t[18]/6 + t[20]/6 - t[21]/6 + (7*t[22])/3 + 
       t[23]/6 - t[24]/6 + (5*t[25])/6 - t[26]/6 + t[27]/2 - t[29]/6 + 
       t[31]/6 + (2*t[32])/3 - t[33]/2 - (19*t[34])/6 + t[36]/2 + 
       (7*t[38])/12 + t[39]/2 - t[40]/3 + (11*t[41])/24 - (13*t[42])/24 - 
       (35*t[43])/48 - t[44]/12 + (193*t[45])/48 + (7*t[46])/24 - 
       (23*t[47])/8 + (245*t[48])/96 - (57*t[49])/32 - (57*t[50])/32 + 
       (17*t[51])/192 + (283*t[52])/96 + (57*t[53])/32 + (113*t[54])/96 - 
       t[58]/12 - (3*t[59])/4 - (79*t[60])/24 + (97*t[61])/48 + 
       (35*t[62])/32 - (595*t[63])/32 + (155*t[64])/32 + (277*t[65])/144 - 
       (259*t[66])/144 + t[70]/3 - t[71]/3 - (4*t[72])/3 + t[73] - t[75] - 
       (13*t[76])/3 - t[77]/6 + (7*t[78])/3 - (119*t[80])/12 - (11*t[81])/6 - 
       (25*t[82])/6 - (11*t[83])/6 + (25*t[84])/24 - (77*t[85])/24 + 
       (61*t[86])/24 + (203*t[87])/24 + (203*t[88])/48 + (379*t[89])/48 - 
       (2*t[97])/3 - 26*t[98] + 28*t[99] + (63*t[100])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((23*t[1])/24 + (3*t[2])/8 + (337*t[3])/96 + (111*t[4])/16 - 
       (659*t[5])/192 + (317*t[6])/96 - (3*t[7])/16 - t[8]/8 + 
       (73*t[9])/192 - (169*t[10])/32 + (5*t[11])/4 - (631*t[12])/192 + 
       t[13]/432 - (1919*t[14])/288 - (4507*t[15])/1152 - t[18]/6 - t[20]/6 - 
       t[21]/6 + (2*t[22])/3 + t[23]/6 - (5*t[24])/6 - t[25]/2 + t[26]/2 - 
       (5*t[27])/6 - t[28]/2 + t[29]/6 - (2*t[32])/3 + t[33]/2 - 
       (19*t[34])/6 + t[36]/2 + (7*t[38])/12 - t[39]/2 + t[40] - 
       (19*t[41])/24 + (17*t[42])/24 - (169*t[43])/96 + (5*t[44])/12 + 
       (55*t[45])/24 - t[46]/8 + t[47]/4 + (95*t[48])/32 - (85*t[49])/96 + 
       (13*t[50])/96 + (151*t[51])/192 - (29*t[52])/96 + (85*t[53])/96 - 
       (107*t[54])/96 + (7*t[58])/12 - (3*t[59])/4 - (79*t[60])/24 + 
       (97*t[61])/48 + (35*t[62])/32 - (595*t[63])/32 + (155*t[64])/32 + 
       (277*t[65])/144 - (259*t[66])/144 + t[70]/3 - t[71]/3 - (4*t[72])/3 + 
       t[73] - t[75] - (13*t[76])/3 - t[77]/6 + (7*t[78])/3 - 
       (119*t[80])/12 - (11*t[81])/6 - (25*t[82])/6 - (11*t[83])/6 + 
       (25*t[84])/24 - (77*t[85])/24 + (61*t[86])/24 + (203*t[87])/24 + 
       (203*t[88])/48 + (379*t[89])/48 - (2*t[97])/3 - 26*t[98] + 28*t[99] + 
       (63*t[100])/4) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^3*
      ((53*t[1])/24 + (27*t[2])/8 + (187*t[3])/96 + (147*t[4])/16 - 
       (1637*t[5])/192 - (205*t[6])/96 + (39*t[7])/8 - (33*t[8])/16 + 
       (1939*t[9])/192 - (83*t[10])/32 + (179*t[11])/16 - (301*t[12])/192 + 
       (1679*t[13])/864 + (299*t[14])/36 - (1169*t[15])/1152 - t[18]/6 - 
       (2*t[20])/3 - t[21]/6 + (2*t[22])/3 + t[23]/6 - (11*t[24])/6 - 
       t[25]/2 + t[26]/4 - (5*t[27])/6 + (2*t[29])/3 + t[30] - t[31] - 
       (7*t[32])/6 + t[33]/2 - (2*t[34])/3 - t[36]/2 - t[37]/2 + t[38]/12 - 
       t[39]/2 + t[40]/2 - (7*t[41])/24 + (5*t[42])/24 - (109*t[43])/96 - 
       (13*t[44])/12 + (23*t[45])/12 - t[46]/8 + t[47]/2 + (35*t[48])/32 + 
       (191*t[49])/96 + (73*t[50])/96 - (173*t[51])/192 - (41*t[52])/96 - 
       (191*t[53])/96 - (95*t[54])/96 + t[58]/3 + (3*t[59])/4 + 
       (31*t[60])/12 + (1477*t[61])/48 - (621*t[62])/32 + (21*t[63])/32 - 
       (513*t[64])/32 + (475*t[65])/144 - (3781*t[66])/144 - t[69] - 
       (2*t[70])/3 + (2*t[71])/3 - (11*t[72])/6 - t[73] - t[74] + t[75]/2 - 
       (11*t[76])/6 + (23*t[77])/6 + (4*t[78])/3 - (11*t[80])/12 - t[81]/12 - 
       (53*t[82])/12 + t[83]/6 + (37*t[84])/24 + (7*t[85])/6 + 
       (67*t[86])/24 - (17*t[87])/12 - (17*t[88])/24 + (11*t[89])/24 - 
       (2*t[97])/3 - 14*t[98] + 16*t[99] + (71*t[100])/4) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((9*t[1])/2 - (5*t[2])/2 + (3*t[3])/2 + (133*t[4])/4 - 30*t[5] - 
       (311*t[6])/8 + (47*t[7])/4 + (71*t[8])/4 + (117*t[9])/4 - 
       (17*t[10])/2 - (35*t[11])/4 + (21*t[12])/2 + (1009*t[13])/144 - 
       (127*t[14])/8 - (49*t[15])/2 - 9*t[31] - t[41]/2 + t[42]/2 - 
       12*t[43] - 3*t[44] + 2*t[45] - 7*t[46] + 11*t[47] + 3*t[48] + 
       (33*t[49])/4 + 6*t[50] - (3*t[51])/8 - 6*t[52] - (33*t[53])/4 - 
       (15*t[54])/2 - t[59] - (93*t[60])/4 - (227*t[61])/4 - (469*t[62])/8 + 
       (121*t[63])/8 + (349*t[64])/8 + (29*t[65])/4 + (581*t[66])/12 - 
       16*t[74] - t[80] - 4*t[81] + 4*t[82] + 6*t[83] - 2*t[84] - 16*t[85] + 
       (107*t[86])/2 + 21*t[87] + (21*t[88])/2 + (81*t[89])/8 + 18*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (-t[1] - (11*t[2])/2 + (117*t[3])/8 - (71*t[4])/2 - (373*t[5])/16 - 
       (99*t[6])/2 - (13*t[7])/4 - (143*t[8])/2 + (479*t[9])/16 - 
       (285*t[10])/4 - (105*t[11])/8 + (521*t[12])/16 - 17*t[13] - 
       (545*t[14])/16 - (10783*t[15])/288 - t[18] + 2*t[19] - 12*t[20] + 
       4*t[21] - 4*t[22] - 4*t[23] + 2*t[24] + 2*t[27] + 4*t[28] - 4*t[29] + 
       t[30] - 2*t[31] - 12*t[32] + 6*t[33] + 8*t[34] - 2*t[35] - 2*t[38] - 
       2*t[39] + 7*t[40] + 5*t[41] - 4*t[42] + (37*t[43])/8 + 9*t[44] - 
       (37*t[45])/2 + 2*t[46] + 31*t[47] - 10*t[48] - (69*t[49])/4 - 
       9*t[50] + 2*t[51] + 9*t[52] + (69*t[53])/4 + 15*t[54] + t[56]/2 - 
       2*t[57] + (13*t[59])/2 - 65*t[60] - 95*t[61] - (193*t[62])/8 - 
       (35*t[63])/8 + (845*t[64])/4 + (163*t[65])/12 + (37*t[66])/4 + 
       t[68]/2 - 4*t[69] + 2*t[72] + 10*t[73] + 10*t[74] - 16*t[75] + 
       25*t[76] - 11*t[77] - 43*t[78] + 26*t[79] + 53*t[80] + t[81] + 
       23*t[82] - 11*t[84] + (7*t[85])/2 + (157*t[86])/2 + (95*t[87])/2 + 
       (95*t[88])/4 - (171*t[89])/8 - (3*t[90])/2 - 2*t[93] + t[97] + 
       96*t[98] - 200*t[99] + 18*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-17*t[1])/2 + 
       (23*t[2])/4 + (57*t[3])/8 - (287*t[4])/4 + (1091*t[5])/16 - 
       (141*t[6])/8 + (67*t[7])/8 + (53*t[8])/8 - (1351*t[9])/16 + 
       (27*t[10])/2 + (35*t[11])/8 - (169*t[12])/16 + (103*t[13])/16 - 
       (943*t[14])/24 + (1589*t[15])/96 - t[16]/2 + 11*t[26] - 2*t[28] - 
       t[29] - 6*t[30] - 10*t[31] - 2*t[32] + 2*t[33] + t[34] - 6*t[35] - 
       3*t[36] - 2*t[37] - 8*t[38] - 4*t[39] + 4*t[40] - t[41]/2 + t[42]/2 + 
       8*t[43] + (17*t[44])/2 - (5*t[45])/4 + 5*t[46] + t[47]/2 + 2*t[48] - 
       (15*t[49])/8 + 9*t[50] - (117*t[51])/16 - 14*t[52] + (23*t[53])/8 - 
       (63*t[54])/4 - t[58] + (13*t[59])/2 - 65*t[60] - 95*t[61] - 
       (193*t[62])/8 - (35*t[63])/8 + (845*t[64])/4 + (163*t[65])/12 + 
       (37*t[66])/4 + t[68]/2 - 4*t[69] + 2*t[72] + 10*t[73] + 10*t[74] - 
       16*t[75] + 25*t[76] - 11*t[77] - 43*t[78] + 26*t[79] + 53*t[80] + 
       t[81] + 23*t[82] - 11*t[84] + (7*t[85])/2 + (157*t[86])/2 + 
       (95*t[87])/2 + (95*t[88])/4 - (171*t[89])/8 - (3*t[90])/2 - 2*t[93] + 
       t[97] + 96*t[98] - 200*t[99] + 18*t[100]) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*(t[1]/6 + t[2]/12 + (197*t[3])/96 - (11*t[4])/3 + 
       (773*t[5])/192 - (569*t[6])/96 + (605*t[7])/96 - (439*t[8])/96 - 
       (163*t[9])/64 + (21*t[10])/32 + (979*t[11])/96 + (815*t[12])/192 + 
       (8375*t[13])/1728 + (337*t[14])/576 - (2551*t[15])/3456 + 
       (2*t[18])/3 + (2*t[20])/3 + (2*t[21])/3 - t[22]/3 - (2*t[23])/3 + 
       (4*t[24])/3 - t[25]/3 + t[26]/3 + t[27] + t[29]/6 + (7*t[30])/6 + 
       t[31]/3 + t[32]/3 + t[33]/3 + (13*t[34])/6 - t[36]/2 - t[39]/3 - 
       t[40]/2 + (7*t[41])/12 - t[42]/4 - (97*t[43])/48 + t[44]/3 - 
       (5*t[45])/48 - t[46]/3 + (5*t[47])/24 - (35*t[48])/24 + 
       (31*t[49])/48 + (17*t[50])/24 + (3*t[51])/32 - (29*t[52])/24 - 
       (31*t[53])/48 - 2*t[54] + t[59]/4 + (35*t[60])/8 + (911*t[61])/48 - 
       (881*t[62])/32 + (299*t[63])/96 + (91*t[64])/96 + (1979*t[65])/144 - 
       (2257*t[66])/144 + t[69]/3 - t[70] + t[71] + (2*t[72])/3 - 2*t[73] - 
       t[74]/2 + 2*t[75] + (13*t[76])/6 + (3*t[77])/2 - (7*t[78])/6 + 
       (9*t[80])/4 + (5*t[81])/12 + (13*t[82])/4 + (4*t[83])/3 - 
       (19*t[84])/12 + (11*t[85])/8 + (21*t[86])/8 - (61*t[87])/24 - 
       (61*t[88])/48 + (25*t[89])/48 + t[97]/3 + 6*t[98] - 10*t[99] + 
       18*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((4*t[1])/3 + (7*t[2])/6 + (137*t[3])/24 - 
       (61*t[4])/4 + (377*t[5])/48 - (15*t[6])/2 - (209*t[7])/8 + 
       (325*t[8])/24 - (1789*t[9])/48 - (307*t[10])/12 - (299*t[11])/12 - 
       (827*t[12])/48 - (7877*t[13])/432 - (151*t[14])/8 + (2099*t[15])/288 - 
       (2*t[18])/3 + (2*t[20])/3 - (2*t[21])/3 - (2*t[22])/3 + (2*t[23])/3 - 
       (8*t[24])/3 + (4*t[25])/3 - (2*t[26])/3 - 2*t[28] + (4*t[29])/3 + 
       4*t[30] - (4*t[31])/3 + (2*t[32])/3 - (11*t[34])/3 + 2*t[36] + 
       t[38]/3 - 2*t[39] - t[40]/3 + t[41]/3 - (2*t[42])/3 + (79*t[43])/12 - 
       t[44]/3 - (17*t[45])/12 + (19*t[46])/6 - (15*t[47])/2 + 
       (173*t[48])/24 - (43*t[49])/8 - (41*t[50])/8 - (49*t[51])/48 + 
       (163*t[52])/24 + (43*t[53])/8 + (197*t[54])/24 - t[58]/3 - t[59] - 
       (181*t[60])/6 - (953*t[61])/12 + (383*t[62])/8 - (247*t[63])/8 + 
       (665*t[64])/8 - (383*t[65])/36 + (1793*t[66])/36 - 2*t[69] - 
       (2*t[70])/3 + (2*t[71])/3 - (16*t[72])/3 + 4*t[73] + 4*t[74] - 
       4*t[75] - (10*t[76])/3 - (14*t[77])/3 + (4*t[78])/3 + (55*t[80])/3 - 
       (10*t[81])/3 - (2*t[82])/3 + (8*t[83])/3 - (17*t[84])/6 - 
       (47*t[85])/6 + (175*t[86])/6 + (161*t[87])/6 + (161*t[88])/12 + 
       (145*t[89])/12 - (2*t[97])/3 - 8*t[98] + 12*t[99] + 18*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-5*t[1])/6 - (191*t[2])/24 + (389*t[3])/192 + (57*t[4])/16 + 
       (1419*t[5])/128 + (5405*t[6])/576 - (2107*t[7])/192 - (1425*t[8])/64 - 
       (2035*t[9])/128 + (497*t[10])/192 - (2873*t[11])/192 - 
       (4609*t[12])/384 - (60637*t[13])/3456 - (20785*t[14])/1152 + 
       (13589*t[15])/6912 - (85*t[18])/36 - (4*t[20])/3 - (4*t[21])/3 + 
       (3*t[22])/2 + t[23]/2 - (7*t[24])/2 + (5*t[25])/6 - (5*t[26])/6 - 
       (17*t[27])/6 - 2*t[28] - t[29]/4 - (17*t[30])/12 + t[31]/3 - 
       (3*t[32])/2 + (7*t[33])/6 - (91*t[34])/12 + (3*t[36])/4 + 2*t[37] + 
       (5*t[38])/6 - (19*t[39])/6 + (17*t[40])/4 + (17*t[41])/12 - 
       (125*t[42])/36 + (527*t[43])/96 + (4*t[44])/3 + (415*t[45])/32 + 
       t[46]/12 - (569*t[47])/48 - (79*t[48])/24 + (4*t[49])/3 + 
       (59*t[50])/24 + (17*t[51])/48 - (35*t[52])/8 - (4*t[53])/3 - 
       (67*t[54])/24 - t[58]/6 + (155*t[59])/36 - (47*t[60])/12 - 
       (1827*t[61])/32 + (12913*t[62])/192 + (837*t[63])/64 + 
       (5215*t[64])/192 - (2783*t[65])/96 + (18047*t[66])/288 + 
       (13*t[69])/6 + (5*t[70])/6 - (5*t[71])/6 - 5*t[72] + 7*t[73] - 
       (16*t[74])/3 - 5*t[75] - (31*t[76])/4 - (59*t[77])/12 + (17*t[78])/4 + 
       (10*t[79])/3 - (1595*t[80])/24 - (7*t[81])/4 - (59*t[82])/12 - 
       7*t[83] - (7*t[84])/8 - (61*t[85])/12 - (1375*t[86])/48 + 
       (17*t[87])/3 + (17*t[88])/6 + (167*t[89])/12 - t[97] - 29*t[98] + 
       29*t[99] + 18*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((-16*t[1])/3 + (4*t[2])/3 - 
       (109*t[3])/12 - (71*t[4])/2 - (79*t[5])/24 + (71*t[6])/4 - 10*t[7] + 
       (347*t[8])/6 - (415*t[9])/24 + (589*t[10])/12 - (70*t[11])/3 + 
       (289*t[12])/24 - (1903*t[13])/108 + (52*t[14])/3 + (1561*t[15])/144 - 
       (4*t[18])/3 - (2*t[20])/3 - (10*t[21])/3 + (26*t[22])/3 + 
       (10*t[23])/3 + (2*t[24])/3 + (2*t[25])/3 + (2*t[26])/3 + 2*t[27] - 
       2*t[28] - (4*t[29])/3 + 4*t[30] + (10*t[31])/3 + (4*t[32])/3 - 
       (22*t[34])/3 - t[38]/3 - 2*t[39] - (2*t[40])/3 + (8*t[41])/3 - 
       (13*t[42])/3 - (19*t[43])/12 - (2*t[44])/3 + (44*t[45])/3 + t[46]/3 - 
       20*t[47] + (35*t[48])/12 - (13*t[49])/4 - (19*t[50])/4 - 
       (31*t[51])/24 + (73*t[52])/12 + (13*t[53])/4 + (155*t[54])/12 - 
       (2*t[58])/3 + 4*t[59] - (119*t[60])/6 + (83*t[61])/3 - (35*t[62])/4 + 
       (11*t[63])/4 - (33*t[64])/2 - (17*t[65])/18 + (139*t[66])/9 + 
       2*t[69] + (14*t[70])/3 - (14*t[71])/3 - (14*t[72])/3 - (23*t[76])/3 + 
       (20*t[77])/3 + (14*t[78])/3 - (76*t[80])/3 - (5*t[81])/3 - 
       (28*t[82])/3 + (4*t[83])/3 + t[84]/3 + (4*t[85])/3 - (11*t[86])/3 + 
       (50*t[87])/3 + (25*t[88])/3 + (59*t[89])/12 - (4*t[97])/3 - 40*t[98] + 
       48*t[99] + 18*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((5*t[1])/6 + (19*t[2])/24 + (377*t[3])/48 + 
       (241*t[4])/24 - (1711*t[5])/96 + (355*t[6])/48 - (11*t[7])/24 - 
       (293*t[8])/24 + (111*t[9])/32 - (215*t[10])/16 - (205*t[11])/24 + 
       (449*t[12])/96 - (2489*t[13])/432 - (4087*t[14])/144 - 
       (18421*t[15])/1728 + t[18]/3 - t[19] - (2*t[20])/3 - (2*t[21])/3 + 
       (4*t[22])/3 + (2*t[23])/3 + (2*t[24])/3 - (5*t[25])/3 + (5*t[26])/3 - 
       t[27] - (2*t[29])/3 - (13*t[30])/6 + (2*t[31])/3 - (4*t[32])/3 + 
       (5*t[33])/3 - (37*t[34])/6 + 2*t[36] + 2*t[38] - (2*t[39])/3 + 
       (3*t[40])/2 - t[41]/3 + t[42]/2 - (341*t[43])/48 + (19*t[44])/6 + 
       (67*t[45])/24 + (7*t[46])/12 - (19*t[47])/12 + (247*t[48])/48 - 
       (409*t[49])/48 + (191*t[50])/48 + (157*t[51])/32 - (167*t[52])/48 + 
       (409*t[53])/48 + (9*t[54])/16 + (3*t[58])/2 - (3*t[59])/2 - 
       (37*t[60])/2 - (283*t[61])/24 + (239*t[62])/8 - (1211*t[63])/24 + 
       (35*t[64])/24 + (1343*t[65])/72 + (2651*t[66])/72 + (5*t[69])/3 + 
       t[70] - t[71] + (4*t[72])/3 + t[73]/2 + (3*t[74])/2 - t[75]/2 - 
       (61*t[76])/6 - t[77] + (31*t[78])/6 - 40*t[80] - (20*t[81])/3 - 
       5*t[82] - (10*t[83])/3 + (37*t[84])/12 - (53*t[85])/4 - (33*t[86])/2 + 
       (377*t[87])/12 + (365*t[88])/24 + (475*t[89])/24 - (4*t[97])/3 - 
       66*t[98] + 64*t[99] + 18*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*(-t[1]/4 + (419*t[2])/72 + 
       (1183*t[3])/48 + (1201*t[4])/24 + (243*t[5])/32 - (4447*t[6])/144 - 
       (59*t[7])/4 - (1513*t[8])/24 - (3551*t[9])/96 + (1099*t[10])/48 + 
       (187*t[11])/8 - (1463*t[12])/96 + (2563*t[13])/144 - 
       (2089*t[14])/144 + (11111*t[15])/1728 - t[16]/12 - t[17]/4 + t[18]/3 - 
       t[20]/2 + 3*t[21] + t[22]/3 - 3*t[23] + t[25]/2 - 2*t[27] - 2*t[28] - 
       (5*t[29])/12 + (7*t[30])/3 + 4*t[31] - (35*t[32])/6 + (11*t[33])/6 - 
       (103*t[34])/6 - 11*t[35] + (23*t[36])/6 - (25*t[37])/6 + 4*t[38] - 
       t[39]/12 + (77*t[40])/12 - (25*t[42])/18 - (133*t[43])/48 + 
       (43*t[44])/4 + (71*t[45])/12 - (7*t[46])/6 - (13*t[47])/6 - 
       (829*t[48])/48 + (109*t[49])/48 + (179*t[50])/48 + (235*t[51])/96 - 
       (779*t[52])/48 - (13*t[53])/48 - (491*t[54])/16 + (11*t[59])/18 + 
       (80*t[60])/3 + (403*t[61])/24 + (3805*t[62])/48 + (1039*t[63])/48 - 
       (7829*t[64])/48 - 50*t[65] - (877*t[66])/36 - (11*t[68])/6 - 4*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 - (15*t[72])/2 - 4*t[73] + (10*t[74])/3 + 
       t[75]/2 - (22*t[76])/3 + t[77]/4 - t[78]/6 - 10*t[79] - (67*t[80])/2 - 
       (7*t[81])/12 - (7*t[82])/3 - (31*t[83])/6 - (47*t[84])/24 - 
       (121*t[85])/12 - (1283*t[86])/12 + (7*t[87])/3 - (21*t[88])/4 - 
       (41*t[89])/3 + (2*t[95])/3 + (17*t[96])/3 - t[97] - 80*t[98] + 
       95*t[99] + (39*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-13*t[1])/4 - (3*t[2])/2 + (89*t[3])/24 + 
       (475*t[4])/24 - (143*t[5])/8 - (671*t[6])/48 + (239*t[7])/16 - 
       (647*t[8])/48 + (379*t[9])/24 - (155*t[10])/16 - (671*t[11])/48 - 
       2*t[12] + (553*t[13])/216 - (409*t[14])/144 - (1391*t[15])/96 - 
       (3*t[29])/2 + (5*t[31])/2 + 7*t[35] + t[37] - (331*t[43])/48 + 
       (13*t[44])/4 - (17*t[46])/4 - (105*t[48])/16 + (337*t[49])/24 + 
       (197*t[50])/48 - (37*t[51])/12 - (197*t[52])/48 - (337*t[53])/24 - 
       (745*t[54])/48 + (25*t[59])/12 + (475*t[60])/24 - (70*t[61])/3 - 
       (365*t[62])/12 + (5*t[63])/4 - (785*t[64])/12 - (173*t[65])/18 - 
       (103*t[66])/18 + t[67]/2 + 4*t[69] - (17*t[74])/2 - t[75] - 12*t[79] - 
       17*t[80] - (3*t[81])/4 - (5*t[82])/4 + (89*t[83])/6 - (11*t[84])/4 + 
       (97*t[85])/8 + (637*t[86])/12 - (431*t[87])/24 - (431*t[88])/48 - 
       (79*t[89])/16 + 4*t[99] + 20*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((11*t[2])/12 - 
       (155*t[3])/24 + (31*t[4])/24 - (413*t[5])/24 - (245*t[6])/24 + 
       (87*t[7])/2 - (11*t[8])/24 + (539*t[9])/16 + (673*t[10])/48 + 
       (89*t[11])/24 + (107*t[12])/16 - (2029*t[13])/432 + (1561*t[14])/96 + 
       (455*t[15])/72 - t[17]/2 - (3*t[18])/2 - (7*t[19])/3 - 2*t[21] + 
       (4*t[23])/3 - (14*t[24])/3 + (25*t[31])/3 + t[35] + t[37] - 
       (11*t[41])/6 + (5*t[42])/12 - (25*t[43])/8 + (199*t[45])/24 - 
       (73*t[47])/12 - (193*t[48])/12 + (41*t[49])/48 + (67*t[50])/12 - 
       (119*t[51])/96 - (67*t[52])/12 - (41*t[53])/48 - (65*t[54])/8 + 
       (25*t[59])/12 + (475*t[60])/24 - (70*t[61])/3 - (365*t[62])/12 + 
       (5*t[63])/4 - (785*t[64])/12 - (173*t[65])/18 - (103*t[66])/18 + 
       t[67]/2 + 4*t[69] - (17*t[74])/2 - t[75] - 12*t[79] - 17*t[80] - 
       (3*t[81])/4 - (5*t[82])/4 + (89*t[83])/6 - (11*t[84])/4 + 
       (97*t[85])/8 + (637*t[86])/12 - (431*t[87])/24 - (431*t[88])/48 - 
       (79*t[89])/16 + 4*t[99] + 20*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*((-35*t[1])/48 - (31*t[2])/8 + 
       (251*t[3])/72 + (797*t[4])/144 - (207*t[5])/32 - (929*t[6])/144 - 
       (101*t[7])/12 - (83*t[8])/36 + (217*t[9])/288 + (59*t[10])/6 - 
       (883*t[11])/72 + (277*t[12])/96 - (24119*t[13])/2592 - 
       (14755*t[14])/1728 - (2005*t[15])/288 - t[19]/2 - t[21]/4 + t[23]/4 - 
       t[28]/2 + t[30]/2 - t[31]/12 + t[37]/2 - t[39]/2 + t[40]/4 + t[41]/8 - 
       t[42]/8 - (1127*t[43])/288 - (3*t[45])/4 - (31*t[46])/48 + t[47]/2 + 
       (5*t[48])/16 + (8*t[49])/9 - (133*t[50])/144 - (481*t[51])/576 + 
       (133*t[52])/144 - (8*t[53])/9 + (197*t[54])/144 - (107*t[59])/144 - 
       (77*t[60])/72 - (3607*t[61])/144 + (4211*t[62])/288 + (607*t[63])/96 + 
       (1487*t[64])/288 + (35*t[65])/432 + (12547*t[66])/432 - t[69]/4 - 
       (3*t[72])/4 - (31*t[74])/24 + t[75] - t[77]/4 + (83*t[79])/24 - 
       (101*t[80])/12 - (7*t[81])/24 + (55*t[82])/24 - (187*t[83])/72 - 
       (17*t[84])/16 + (13*t[85])/24 - (389*t[86])/36 - (47*t[87])/18 - 
       (47*t[88])/36 - (61*t[89])/24 - 4*t[99] + (241*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((89*t[1])/24 + (337*t[2])/48 + (2347*t[3])/96 + (949*t[4])/24 - 
       (471*t[5])/64 + (45*t[6])/16 - (761*t[7])/24 - (2071*t[8])/48 - 
       (1751*t[9])/64 - (133*t[10])/8 - (351*t[11])/32 - (3115*t[12])/192 - 
       (1369*t[13])/48 - (19193*t[14])/576 - (2375*t[15])/384 - (7*t[18])/6 + 
       t[19]/2 - (2*t[20])/3 - (11*t[21])/12 + t[22]/6 + (3*t[23])/4 - 
       (3*t[24])/2 - 2*t[25] + (3*t[26])/2 - t[27]/3 - (5*t[28])/4 + 
       (5*t[29])/12 + (13*t[31])/12 - (11*t[32])/12 + (5*t[33])/4 - 
       (29*t[34])/3 - 2*t[35] - t[36]/4 - (5*t[37])/4 + (25*t[38])/12 - 
       (7*t[39])/4 + 3*t[40] + (47*t[41])/24 - (53*t[42])/24 - 
       (101*t[43])/32 + (7*t[44])/6 - 7*t[45] + (2*t[46])/3 + (49*t[47])/12 + 
       (209*t[48])/48 - (319*t[49])/48 - (55*t[50])/48 + (211*t[51])/96 - 
       t[52]/48 + (319*t[53])/48 - (149*t[54])/48 + t[58]/12 + 
       (161*t[59])/24 - (1057*t[60])/48 + (55*t[61])/4 + (2633*t[62])/32 + 
       (685*t[63])/96 - (2185*t[64])/24 - (1237*t[65])/36 + (2063*t[66])/24 + 
       (3*t[69])/4 + (4*t[70])/3 - (4*t[71])/3 - (5*t[72])/6 - t[73] + 
       (91*t[74])/6 + (3*t[75])/4 - (139*t[76])/12 + (61*t[77])/12 + 
       (16*t[78])/3 - 15*t[79] - (13*t[80])/2 - (151*t[81])/24 - 
       (161*t[82])/24 - (259*t[83])/24 + (15*t[84])/8 - (299*t[85])/48 - 
       (1619*t[86])/24 + (767*t[87])/48 + (767*t[88])/96 - (1117*t[89])/96 - 
       (11*t[97])/12 - 74*t[98] + (139*t[99])/2 + (81*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((47*t[1])/24 + (65*t[2])/24 - (167*t[3])/32 - (373*t[4])/12 + 
       (6437*t[5])/192 + (1849*t[6])/48 - (3131*t[7])/96 + (1259*t[8])/32 - 
       (3711*t[9])/64 + (4445*t[10])/96 - (859*t[11])/24 - (2897*t[12])/192 - 
       (17683*t[13])/576 + (10213*t[14])/576 + (13769*t[15])/384 - t[18] + 
       t[19]/2 - (5*t[20])/6 - (13*t[21])/6 + (59*t[22])/6 + (13*t[23])/6 - 
       (7*t[24])/6 + t[25]/3 + (19*t[26])/12 + 2*t[27] - (5*t[29])/12 + 
       t[30] + (17*t[31])/3 + (23*t[32])/12 - (5*t[33])/4 - (83*t[34])/12 - 
       t[36]/4 - t[37] - (5*t[38])/12 + (3*t[39])/4 - (7*t[40])/12 - 
       t[41]/3 - (3*t[42])/2 + (59*t[43])/12 - t[44]/12 - (51*t[45])/16 + 
       (35*t[46])/6 - (365*t[47])/24 + (695*t[48])/96 - (235*t[49])/24 - 
       (421*t[50])/96 + (749*t[52])/96 + (235*t[53])/24 + (841*t[54])/96 + 
       t[58]/6 + (161*t[59])/24 - (1057*t[60])/48 + (55*t[61])/4 + 
       (2633*t[62])/32 + (685*t[63])/96 - (2185*t[64])/24 - (1237*t[65])/36 + 
       (2063*t[66])/24 + (3*t[69])/4 + (4*t[70])/3 - (4*t[71])/3 - 
       (5*t[72])/6 - t[73] + (91*t[74])/6 + (3*t[75])/4 - (139*t[76])/12 + 
       (61*t[77])/12 + (16*t[78])/3 - 15*t[79] - (13*t[80])/2 - 
       (151*t[81])/24 - (161*t[82])/24 - (259*t[83])/24 + (15*t[84])/8 - 
       (299*t[85])/48 - (1619*t[86])/24 + (767*t[87])/48 + (767*t[88])/96 - 
       (1117*t[89])/96 - (11*t[97])/12 - 74*t[98] + (139*t[99])/2 + 
       (81*t[100])/4) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-101*t[1])/72 - (587*t[2])/144 - 
       (1535*t[3])/288 - (733*t[4])/48 + (2497*t[5])/576 - (101*t[6])/16 + 
       (507*t[7])/16 + (5171*t[8])/72 - (3035*t[9])/576 + (2837*t[10])/72 + 
       (4955*t[11])/144 - (5809*t[12])/576 + (134249*t[13])/5184 + 
       (10405*t[14])/576 + (44957*t[15])/3456 - (5*t[17])/8 - (19*t[18])/9 - 
       t[19] + (7*t[20])/9 - (10*t[21])/9 + (109*t[22])/18 - t[23]/18 - 
       (29*t[24])/18 + (32*t[25])/9 - (145*t[26])/36 - (7*t[27])/6 - t[28] - 
       (25*t[29])/36 - (11*t[30])/6 + (65*t[31])/18 - (13*t[32])/18 + 
       3*t[33] - (547*t[34])/36 + 7*t[35] + (19*t[36])/12 + (85*t[38])/18 - 
       2*t[39] + (55*t[40])/9 - (263*t[41])/72 + (175*t[42])/72 - 
       (4913*t[43])/288 + (41*t[44])/18 + (4175*t[45])/144 - (91*t[46])/72 - 
       (425*t[47])/24 - (2189*t[48])/288 + (21*t[49])/8 - (133*t[50])/32 + 
       (923*t[51])/288 - (1267*t[52])/288 - (21*t[53])/8 - (3539*t[54])/288 - 
       (19*t[58])/18 - (9*t[59])/2 + (665*t[60])/36 + (5321*t[61])/144 - 
       (3035*t[62])/24 - (1433*t[63])/24 + (1397*t[64])/48 + 
       (23675*t[65])/432 - (11465*t[66])/432 + (2*t[69])/3 + (25*t[70])/18 - 
       (25*t[71])/18 - (8*t[72])/9 + (19*t[73])/4 + (3*t[74])/4 - 
       (19*t[75])/4 - (251*t[76])/36 - (13*t[77])/9 + (197*t[78])/36 - 
       16*t[79] - (443*t[80])/18 - (103*t[81])/18 - (173*t[82])/18 - 
       (23*t[83])/36 + (461*t[84])/72 + (203*t[85])/72 + (4147*t[86])/36 - 
       (329*t[87])/72 - (329*t[88])/144 + (1847*t[89])/144 - t[94]/4 - 
       (35*t[97])/18 - (133*t[98])/3 + 56*t[99] + (41*t[100])/2) + 
     HPL[{1}, 1 - w]^2*Qep[w, u, v]*((-112*t[2])/9 - (76*t[3])/9 - 
       (148*t[4])/9 + (68*t[5])/9 - (244*t[6])/9 - (56*t[7])/3 + 
       (68*t[8])/9 - 14*t[9] + (754*t[10])/9 - (44*t[11])/9 + (14*t[12])/3 + 
       (2030*t[13])/81 + (139*t[14])/9 + (508*t[15])/27 - (16*t[18])/9 - 
       (32*t[23])/9 - (32*t[24])/9 - (32*t[31])/9 - (40*t[41])/9 + 
       (104*t[42])/9 - (68*t[43])/3 + (476*t[45])/9 - (616*t[47])/9 - 
       (40*t[48])/9 + (50*t[49])/9 + (88*t[50])/9 - (25*t[51])/9 - 
       (88*t[52])/9 - (50*t[53])/9 - (52*t[54])/3 - (104*t[59])/9 + 
       (68*t[60])/9 - (520*t[61])/9 + (16*t[62])/9 - (40*t[63])/3 - 
       (944*t[64])/9 + (680*t[65])/27 + (136*t[66])/27 - (16*t[74])/3 + 
       (64*t[79])/3 - (208*t[80])/3 + (8*t[81])/3 - (8*t[82])/3 + 
       (64*t[83])/9 + (28*t[85])/3 - (248*t[86])/9 - (148*t[87])/9 - 
       (74*t[88])/9 - (50*t[89])/3 + (64*t[100])/3) + 
     HPL[{1}, 1 - w]^2*Qep[u, w, v]*((-52*t[2])/9 - (520*t[3])/9 - 
       (520*t[4])/9 - (496*t[5])/9 - (112*t[6])/3 + 116*t[7] + (260*t[8])/9 + 
       (368*t[9])/3 + (688*t[10])/9 + (520*t[11])/9 + 64*t[12] + 
       (776*t[13])/81 + (614*t[14])/9 - (254*t[15])/27 - (16*t[18])/3 - 
       (128*t[23])/9 - (128*t[24])/9 - (128*t[31])/9 + (80*t[41])/9 - 
       (200*t[42])/9 - 40*t[43] + (824*t[45])/9 - (592*t[47])/9 - 
       (112*t[48])/9 - (76*t[49])/9 + (304*t[50])/9 + (38*t[51])/9 - 
       (304*t[52])/9 + (76*t[53])/9 - (8*t[54])/3 + (200*t[59])/9 + 
       (296*t[60])/9 + (272*t[61])/9 - (1592*t[62])/9 - 24*t[63] - 
       (104*t[64])/9 + (2336*t[65])/27 - (272*t[66])/27 - 16*t[74] + 
       16*t[79] - (416*t[80])/3 - (16*t[81])/3 + (16*t[82])/3 + 
       (160*t[83])/9 + (16*t[84])/3 - 24*t[85] + (736*t[86])/9 - 
       (40*t[87])/9 - (20*t[88])/9 - 12*t[89] + (64*t[100])/3) + 
     HPL[{1}, 1 - v]^2*Qep[w, u, v]*((-8*t[1])/3 + (148*t[3])/9 - 
       (388*t[4])/9 + 36*t[5] - (302*t[6])/9 + (58*t[7])/3 + (214*t[8])/9 - 
       (172*t[9])/9 - (110*t[10])/3 + (202*t[11])/9 - (28*t[12])/3 + 
       (1412*t[13])/81 - (772*t[14])/27 + (19*t[15])/9 - (16*t[31])/3 + 
       (38*t[43])/9 + (8*t[46])/3 + 2*t[48] - (40*t[49])/9 + (50*t[50])/9 + 
       (2*t[51])/9 - (50*t[52])/9 + (40*t[53])/9 - (34*t[54])/9 - 
       (56*t[59])/9 - (196*t[60])/9 - (40*t[61])/9 - (1016*t[62])/9 - 
       (256*t[63])/3 + (1528*t[64])/9 + (1208*t[65])/27 - (1352*t[66])/27 + 
       (16*t[74])/3 + (64*t[79])/3 + (208*t[80])/3 - (8*t[81])/3 + 
       (8*t[82])/3 + (64*t[83])/9 - (28*t[85])/3 + (1240*t[86])/9 + 
       (212*t[87])/9 + (106*t[88])/9 - (14*t[89])/3 + (64*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((-19*t[1])/4 - (359*t[2])/18 + (1357*t[3])/144 - 
       (49*t[4])/4 + (2329*t[5])/32 + (157*t[6])/4 - (11419*t[7])/144 + 
       (3161*t[8])/48 - (45749*t[9])/288 + (2497*t[10])/72 - 
       (2137*t[11])/144 - (1611*t[12])/32 - (135*t[13])/16 - 
       (19063*t[14])/432 + (5255*t[15])/192 - (7*t[18])/3 - 2*t[19] + 
       (10*t[20])/3 - (16*t[21])/3 + (29*t[22])/3 + (16*t[23])/3 - 
       (7*t[24])/3 + (23*t[25])/3 - (29*t[26])/6 - t[27] - t[29]/3 + 
       2*t[30] - t[31]/2 + (4*t[32])/3 + 2*t[33] - (149*t[34])/6 + 3*t[36] + 
       4*t[37] + (25*t[38])/6 - t[39] + (7*t[40])/3 + (49*t[41])/36 - 
       (91*t[42])/36 + (263*t[43])/36 - (7*t[44])/6 + (517*t[45])/18 + 
       (2*t[46])/9 - (412*t[47])/9 + (301*t[48])/12 - (1213*t[49])/144 - 
       (631*t[50])/36 + (541*t[51])/288 + (661*t[52])/36 + (1213*t[53])/144 + 
       (787*t[54])/72 - (5*t[58])/3 - t[59]/12 - (997*t[60])/36 - 
       (313*t[61])/24 + (18563*t[62])/144 - (5107*t[63])/144 + 
       (6283*t[64])/48 - (3725*t[65])/216 + (811*t[66])/8 + 2*t[69] + 
       (14*t[70])/3 - (14*t[71])/3 - (14*t[72])/3 + 6*t[73] + (98*t[74])/9 - 
       (157*t[76])/6 - (17*t[77])/6 + (50*t[78])/3 + (28*t[79])/3 - 
       (1007*t[80])/18 - (209*t[81])/18 - (259*t[82])/18 - (383*t[83])/9 + 
       (293*t[84])/18 - (250*t[85])/9 - (2635*t[86])/36 + (709*t[87])/18 + 
       (709*t[88])/36 + (811*t[89])/24 - (23*t[97])/6 - 148*t[98] + 
       152*t[99] + (64*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w]*(-t[1]/8 - (499*t[2])/96 - (7*t[3])/48 - 
       (499*t[4])/48 + (907*t[5])/96 - (29*t[6])/72 - (13*t[7])/32 - 
       (269*t[8])/96 - (361*t[9])/48 + (341*t[10])/24 - (59*t[11])/6 + 
       (149*t[12])/96 - (707*t[13])/288 - (581*t[14])/192 + (95*t[15])/48 - 
       (41*t[18])/72 + t[19]/2 + t[20]/2 + t[21]/2 - (7*t[23])/6 - 
       (2*t[24])/3 - t[28] + t[30]/2 + t[31]/3 + t[32]/2 + t[34]/2 + 
       t[37]/2 - t[39]/2 + t[41]/8 - (95*t[42])/144 - (83*t[43])/24 + 
       t[44]/2 + (53*t[45])/8 - (35*t[47])/4 - (65*t[48])/48 - (5*t[49])/96 + 
       (95*t[50])/48 + (5*t[51])/192 - (95*t[52])/48 + (5*t[53])/96 - 
       (23*t[54])/24 + (23*t[59])/144 - (53*t[60])/48 - (1339*t[61])/48 + 
       (369*t[62])/32 + (497*t[63])/96 + (379*t[64])/96 + (275*t[65])/144 + 
       (1633*t[66])/48 - t[69]/4 - (3*t[72])/4 - (41*t[74])/24 + t[75] - 
       t[77]/4 + (83*t[79])/24 - (101*t[80])/12 - t[81]/2 + (5*t[82])/2 - 
       (49*t[83])/24 - (17*t[84])/16 - (3*t[85])/16 - (191*t[86])/24 - 
       (39*t[87])/16 - (39*t[88])/32 - (299*t[89])/96 - 4*t[99] + 
       (87*t[100])/4) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((485*t[1])/288 - (81*t[2])/32 - (269*t[3])/576 - 
       (2399*t[4])/288 + (431*t[5])/128 + (433*t[6])/144 - (151*t[7])/48 - 
       (163*t[8])/72 - (8201*t[9])/1152 + (37*t[10])/12 - (563*t[11])/144 - 
       (445*t[12])/384 - (43853*t[13])/10368 - (16367*t[14])/3456 + 
       (5173*t[15])/2304 - t[18]/6 - t[19]/4 - t[20]/6 - t[21]/3 + 
       (5*t[22])/12 + t[23]/4 - (5*t[24])/12 - t[25]/3 + (23*t[26])/48 + 
       t[27]/4 - t[28]/4 + (7*t[29])/24 + (3*t[31])/4 + (11*t[32])/24 - 
       (5*t[33])/8 - (31*t[34])/48 + t[35] + t[36]/8 + (3*t[37])/4 + 
       t[38]/6 + (3*t[39])/8 - (19*t[40])/24 - (79*t[41])/96 + 
       (47*t[42])/96 + (437*t[43])/576 + (17*t[44])/24 + (355*t[45])/96 + 
       (23*t[46])/16 - (87*t[47])/16 + (175*t[48])/192 - (415*t[49])/144 + 
       (197*t[50])/576 + (293*t[51])/576 + (463*t[52])/576 + 
       (415*t[53])/144 + (95*t[54])/576 + (13*t[58])/48 - (23*t[59])/32 - 
       (1475*t[60])/288 - (2797*t[61])/144 + (10873*t[62])/576 - 
       (2243*t[63])/192 + (877*t[64])/576 + (619*t[65])/216 + 
       (1133*t[66])/216 + t[69]/4 - t[70]/12 + t[71]/12 - (5*t[72])/12 + 
       (3*t[73])/8 + (7*t[74])/12 - (3*t[75])/8 - (83*t[76])/48 - 
       (17*t[77])/24 + (5*t[78])/12 + (11*t[79])/8 - (107*t[80])/24 - 
       (29*t[81])/48 - (7*t[82])/48 + (13*t[83])/36 - (41*t[84])/32 + 
       (127*t[85])/96 - (491*t[86])/36 + (955*t[87])/288 + (955*t[88])/576 + 
       (701*t[89])/192 - (13*t[97])/48 - (23*t[98])/2 + 9*t[99] + 
       (67*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((289*t[1])/8 - (15*t[2])/8 + (47*t[3])/8 - 
       186*t[4] + (1017*t[5])/16 - (691*t[6])/16 + (1317*t[7])/16 - 
       (521*t[8])/16 + (71*t[9])/4 - (3843*t[10])/16 + (109*t[11])/8 - 
       (1207*t[12])/16 + (3331*t[13])/96 + (5027*t[14])/48 + 
       (2309*t[15])/48 + 2*t[16] + (27*t[18])/2 + 12*t[19] + 9*t[21] - 
       12*t[22] - (27*t[23])/2 + 21*t[24] - 5*t[25] - (25*t[26])/4 + 
       6*t[27] - 12*t[28] - (27*t[29])/4 + (17*t[30])/2 + 18*t[31] - 
       (9*t[32])/2 + (9*t[33])/2 + (33*t[34])/4 - 8*t[36] - 3*t[37] + 
       12*t[38] - (45*t[39])/4 + (15*t[40])/4 + (39*t[41])/8 - (15*t[42])/8 + 
       (483*t[43])/16 + 21*t[44] - (159*t[45])/8 + (57*t[46])/4 + 
       (99*t[47])/4 - (39*t[48])/2 - (183*t[49])/8 - (205*t[50])/4 + 
       (51*t[51])/8 + 34*t[52] + (183*t[53])/8 + (235*t[54])/4 + 
       (3*t[58])/4 - (243*t[59])/8 + (347*t[60])/2 + (613*t[61])/4 - 
       (3879*t[62])/16 - (2101*t[63])/16 + (733*t[64])/2 + (67*t[65])/24 - 
       (1635*t[66])/4 - t[67]/2 - 30*t[69] - 9*t[70] + 9*t[71] - 36*t[72] + 
       6*t[73] + 4*t[74] + 4*t[75] + (133*t[76])/4 - 6*t[77] - (27*t[78])/4 - 
       16*t[79] + 240*t[80] + (59*t[81])/2 - (53*t[82])/4 - 14*t[83] - 
       (143*t[84])/8 + (279*t[85])/8 + (563*t[86])/2 - (409*t[87])/8 - 
       (409*t[88])/16 + (329*t[89])/8 + (9*t[97])/4 + 234*t[98] - 192*t[99] + 
       (45*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*(-t[1]/4 - (129*t[2])/16 + (73*t[3])/6 + 
       (113*t[4])/12 + (875*t[5])/48 + (395*t[6])/72 - (529*t[7])/16 - 
       (1615*t[8])/48 - (1877*t[9])/48 + (91*t[10])/48 - (85*t[11])/8 - 
       (281*t[12])/24 - (271*t[13])/54 - (341*t[14])/24 + (755*t[15])/144 + 
       t[18]/36 + (7*t[23])/3 + (7*t[24])/3 - 2*t[28] + t[30] + 
       (13*t[31])/3 + t[35] + t[37] - t[39] - (11*t[41])/12 + 
       (355*t[42])/72 + (209*t[43])/24 + t[44] - (121*t[45])/24 - 
       (65*t[47])/12 - (29*t[48])/8 + (73*t[49])/24 - (13*t[50])/8 - 
       (73*t[51])/48 + (13*t[52])/8 - (73*t[53])/24 - (151*t[54])/24 - 
       (283*t[59])/72 + (5*t[60])/2 - (545*t[61])/24 + (3377*t[62])/48 + 
       (1799*t[63])/48 - (525*t[64])/16 - (1763*t[65])/72 + (1033*t[66])/72 + 
       (5*t[69])/2 - t[70] + t[71] - (3*t[72])/2 + t[74]/12 + t[75] - 
       t[77]/2 - (13*t[79])/12 - (131*t[80])/6 + (5*t[81])/4 + (3*t[82])/4 - 
       (47*t[83])/12 - (25*t[84])/8 + (17*t[85])/2 - 73*t[86] - 
       (89*t[87])/12 - (89*t[88])/24 + (83*t[89])/24 - 4*t[99] + 
       (45*t[100])/2) + HPL[{0, 1, 1}, 1 - v]*Omega2[w, u, v]*
      ((-31*t[2])/2 - (25*t[3])/4 - (39*t[4])/2 + (341*t[5])/8 + 
       (115*t[6])/8 - (27*t[7])/2 + 18*t[8] - (333*t[9])/8 + (59*t[10])/2 - 
       (147*t[11])/8 - (125*t[12])/8 - (187*t[13])/24 - (51*t[14])/4 + 
       (515*t[15])/48 - 2*t[19] - t[21] + t[23] + 2*t[28] - 2*t[30] - 
       2*t[31] + 2*t[37] + 2*t[39] - t[40] + t[41]/2 - t[42]/2 + 
       (27*t[43])/4 + 6*t[45] - 16*t[47] + (79*t[48])/8 + 2*t[49] - 
       (37*t[50])/8 - t[51]/2 + (37*t[52])/8 - 2*t[53] - (3*t[54])/8 - 
       t[59] - (15*t[60])/4 - (215*t[61])/4 + (479*t[62])/8 + (109*t[63])/8 + 
       (543*t[64])/8 - (35*t[65])/12 + (1015*t[66])/12 - t[69] + 3*t[72] + 
       4*t[75] + t[77] + 8*t[79] - 22*t[80] - 2*t[81] + 10*t[82] - 
       (51*t[83])/2 + (11*t[84])/4 - (7*t[85])/4 - 35*t[86] - (15*t[87])/4 - 
       (15*t[88])/8 + (123*t[89])/8 - 16*t[99] + 23*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w]*(-t[1]/2 - (11*t[2])/2 + 
       (29*t[3])/4 + (11*t[4])/4 - (81*t[5])/8 - (11*t[6])/4 - (61*t[7])/4 - 
       (105*t[8])/4 - (95*t[9])/8 - (267*t[10])/8 - (73*t[11])/2 + 3*t[12] - 
       (57*t[13])/2 - (311*t[14])/16 - (673*t[15])/48 + 2*t[19] + 2*t[21] - 
       2*t[23] + 4*t[28] - 2*t[30] + 4*t[31] + 2*t[37] + 2*t[39] + t[41] - 
       t[42] + t[43] - 2*t[44] - t[45]/2 - 3*t[47] + (13*t[48])/4 - 
       (67*t[49])/8 - (31*t[50])/4 + (19*t[51])/16 + (31*t[52])/4 + 
       (67*t[53])/8 + (35*t[54])/2 - t[59] - (15*t[60])/4 - (215*t[61])/4 + 
       (479*t[62])/8 + (109*t[63])/8 + (543*t[64])/8 - (35*t[65])/12 + 
       (1015*t[66])/12 - t[69] + 3*t[72] + 4*t[75] + t[77] + 8*t[79] - 
       22*t[80] - 2*t[81] + 10*t[82] - (51*t[83])/2 + (11*t[84])/4 - 
       (7*t[85])/4 - 35*t[86] - (15*t[87])/4 - (15*t[88])/8 + (123*t[89])/8 - 
       16*t[99] + 23*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((179*t[1])/24 - (21*t[2])/2 + (269*t[3])/48 + (73*t[4])/12 + 
       (1171*t[5])/32 + (265*t[6])/24 - (1891*t[7])/16 - (2053*t[8])/48 - 
       (10807*t[9])/96 + 36*t[10] - (1805*t[11])/24 - (1633*t[12])/32 - 
       (14809*t[13])/864 - (4253*t[14])/144 + (4309*t[15])/192 + 
       (5*t[17])/4 - (3*t[18])/2 + 2*t[21] - 2*t[23] - 5*t[24] - 2*t[25] + 
       (7*t[26])/4 + 2*t[27] - (3*t[31])/2 - (5*t[32])/2 + (5*t[33])/2 - 
       (49*t[34])/4 + (3*t[38])/2 - (5*t[39])/2 + 4*t[40] - t[41]/8 - 
       (5*t[42])/8 + (293*t[43])/24 + t[44] + 4*t[45] + t[46]/4 - 
       (159*t[47])/4 + (71*t[48])/16 - (77*t[49])/48 - (467*t[50])/48 + 
       (107*t[51])/96 + (263*t[52])/48 + (77*t[53])/48 + (121*t[54])/48 - 
       (5*t[58])/4 + (41*t[59])/24 - (949*t[60])/24 - (3601*t[61])/24 + 
       (12191*t[62])/48 + (355*t[63])/16 - (3289*t[64])/48 - 
       (7333*t[65])/72 + (6181*t[66])/72 - 2*t[69] + t[70] - t[71] - 
       (3*t[74])/2 - 8*t[76] + 2*t[77] + (5*t[78])/4 + 11*t[79] - 
       (81*t[80])/2 - (5*t[81])/2 - t[82]/2 + t[83]/6 - (13*t[84])/4 - 
       (21*t[85])/8 - (1043*t[86])/6 + (659*t[87])/24 + (659*t[88])/48 + 
       (183*t[89])/16 + t[94]/2 - t[97]/4 - 42*t[98] + 30*t[99] + 
       23*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-3*t[1])/4 + (4*t[2])/3 + (487*t[3])/48 + (329*t[4])/6 - 
       (469*t[5])/96 - t[6] - (1491*t[7])/16 - (4025*t[8])/48 - 
       (2075*t[9])/32 - (1213*t[10])/48 - (3475*t[11])/48 - (993*t[12])/32 - 
       (13265*t[13])/432 - (4469*t[14])/96 - (703*t[15])/576 + (5*t[17])/4 + 
       t[18]/3 - t[21] + 2*t[22] + (19*t[23])/6 - (29*t[24])/6 - 2*t[25] + 
       (13*t[26])/4 + 2*t[27] + (13*t[31])/6 + (7*t[32])/4 - 3*t[33] - 
       2*t[34] - (3*t[38])/2 + 3*t[39] - (19*t[40])/4 + (10*t[41])/3 - 
       (25*t[42])/12 + (211*t[43])/8 + t[44] - (31*t[45])/6 - t[46] - 
       (133*t[47])/6 + (83*t[48])/24 - (11*t[49])/3 + (43*t[50])/24 + 
       t[51]/12 + (113*t[52])/24 + (11*t[53])/3 - (11*t[54])/8 + t[58]/4 + 
       (41*t[59])/24 - (949*t[60])/24 - (3601*t[61])/24 + (12191*t[62])/48 + 
       (355*t[63])/16 - (3289*t[64])/48 - (7333*t[65])/72 + (6181*t[66])/72 - 
       2*t[69] + t[70] - t[71] - (3*t[74])/2 - 8*t[76] + 2*t[77] + 
       (5*t[78])/4 + 11*t[79] - (81*t[80])/2 - (5*t[81])/2 - t[82]/2 + 
       t[83]/6 - (13*t[84])/4 - (21*t[85])/8 - (1043*t[86])/6 + 
       (659*t[87])/24 + (659*t[88])/48 + (183*t[89])/16 + t[94]/2 - t[97]/4 - 
       42*t[98] + 30*t[99] + 23*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2*((-9*t[1])/8 - (359*t[2])/96 + (47*t[3])/48 + 
       (1993*t[4])/96 - (191*t[5])/8 - (461*t[6])/48 + (119*t[7])/48 + 
       (179*t[8])/96 + (151*t[9])/12 - (841*t[10])/192 - (215*t[11])/16 + 
       (257*t[12])/64 + (14387*t[13])/1728 - (10615*t[14])/1152 - 
       (683*t[15])/48 + (7*t[17])/16 + t[21]/4 - t[23]/4 - (5*t[24])/4 - 
       t[25]/2 - t[28] + t[29] + t[30] + t[31] + (19*t[35])/4 + t[36] + 
       (5*t[37])/4 + t[38]/2 - t[39] + (31*t[41])/48 - (31*t[42])/48 - 
       (203*t[43])/48 - (3*t[44])/2 - (19*t[45])/48 - (205*t[46])/48 + 
       (35*t[47])/12 - (91*t[48])/32 + (1207*t[49])/192 - (109*t[50])/96 - 
       (25*t[51])/384 + (109*t[52])/96 - (1207*t[53])/192 - (143*t[54])/48 - 
       (71*t[59])/48 - (517*t[60])/96 - (4199*t[61])/96 - (1447*t[62])/64 - 
       (4711*t[63])/192 + (4795*t[64])/192 + (449*t[65])/72 - (188*t[66])/9 + 
       t[67]/16 + t[69] + (3*t[70])/4 - (3*t[71])/4 - (3*t[72])/2 + 3*t[73] - 
       (239*t[74])/24 - (7*t[75])/2 + t[76] - (3*t[77])/2 - t[78] + 6*t[79] - 
       (145*t[80])/12 + (59*t[81])/48 - (107*t[82])/48 + (125*t[83])/12 - 
       (35*t[84])/12 + (769*t[85])/96 + (427*t[86])/8 - (25*t[87])/96 - 
       (25*t[88])/192 + (573*t[89])/64 + 12*t[98] - 10*t[99] + 
       (191*t[100])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-9*t[1])/4 - (17*t[2])/4 - t[3] + 
       (111*t[4])/8 - 12*t[5] - (225*t[6])/16 - t[7]/8 + (15*t[8])/8 + 
       (5*t[9])/2 + (17*t[10])/2 - (181*t[11])/8 + (3*t[12])/4 + 
       (149*t[13])/96 - (725*t[14])/48 - (17*t[15])/2 - 3*t[31] - t[41]/4 + 
       t[42]/4 - (17*t[43])/4 + (23*t[45])/2 - 2*t[46] - 17*t[47] - 
       (3*t[48])/4 + (35*t[49])/8 + (13*t[50])/4 - (11*t[51])/16 - 
       (13*t[52])/4 - (35*t[53])/8 - 2*t[54] - (9*t[59])/2 - 11*t[60] - 
       75*t[61] - (11*t[62])/4 - (119*t[63])/4 + (51*t[64])/2 - 
       (65*t[65])/12 + (111*t[66])/4 - 8*t[74] + 12*t[79] - (43*t[80])/2 - 
       2*t[81] + 2*t[82] + 8*t[83] - 4*t[84] - 5*t[85] + 25*t[86] + 
       13*t[87] + (13*t[88])/2 + (21*t[89])/2 + 24*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((9*t[1])/2 - (7*t[2])/2 + 2*t[3] + (117*t[4])/4 - 6*t[5] - 
       (255*t[6])/8 - (59*t[7])/4 - (39*t[8])/4 - 17*t[9] + t[10] - 
       (233*t[11])/4 - (33*t[12])/2 - (251*t[13])/16 - (679*t[14])/24 - 
       5*t[15] - 6*t[31] + t[41]/2 - t[42]/2 - (7*t[43])/2 + 4*t[45] - 
       2*t[46] - 20*t[47] + 3*t[48] + (25*t[49])/4 + 7*t[50] - (13*t[51])/8 - 
       7*t[52] - (25*t[53])/4 - (7*t[54])/2 - 3*t[59] - 32*t[60] - 
       144*t[61] + (119*t[62])/2 - (25*t[63])/2 - (223*t[65])/6 + 
       (265*t[66])/2 - 8*t[74] - 17*t[80] - 8*t[81] + 8*t[82] + 8*t[83] - 
       4*t[84] - 20*t[85] - 2*t[86] + 28*t[87] + 14*t[88] + 12*t[89] + 
       24*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-37*t[1])/6 + (331*t[2])/6 - (985*t[3])/24 + (17*t[4])/4 + 
       (947*t[5])/48 + 28*t[6] - (383*t[7])/8 + (67*t[8])/24 - 
       (5191*t[9])/48 + (257*t[10])/12 - (899*t[11])/12 - (2057*t[12])/48 - 
       (18407*t[13])/432 - (37*t[14])/24 + (2441*t[15])/288 - (14*t[18])/3 + 
       (8*t[20])/3 - (14*t[21])/3 + (34*t[22])/3 + (38*t[23])/3 - 
       (14*t[24])/3 + (10*t[25])/3 - (2*t[26])/3 + 2*t[27] - (2*t[29])/3 + 
       2*t[30] + (2*t[31])/3 + (8*t[32])/3 - (50*t[34])/3 + 2*t[36] + 
       t[38]/3 + (20*t[40])/3 - (19*t[41])/6 + (5*t[42])/6 + (55*t[43])/12 - 
       t[44]/3 + (205*t[45])/12 + (7*t[46])/6 - (75*t[47])/2 + 
       (227*t[48])/24 + (47*t[49])/8 - (39*t[50])/8 - (319*t[51])/48 - 
       (59*t[52])/24 - (47*t[53])/8 + (131*t[54])/24 - (7*t[58])/3 - 
       15*t[59] - (44*t[60])/3 - (1349*t[61])/12 + (1327*t[62])/8 + 
       (257*t[63])/8 - (267*t[64])/8 - (5327*t[65])/36 + (6197*t[66])/36 + 
       (28*t[70])/3 - (28*t[71])/3 - (16*t[72])/3 + 4*t[73] + 8*t[74] - 
       4*t[75] - (64*t[76])/3 - (26*t[77])/3 + (28*t[78])/3 - (167*t[80])/3 - 
       (34*t[81])/3 - (38*t[82])/3 - (16*t[83])/3 - (22*t[84])/3 - 
       (43*t[85])/3 - (251*t[86])/6 + (85*t[87])/3 + (85*t[88])/6 - 
       (20*t[89])/3 - (8*t[97])/3 - 104*t[98] + 108*t[99] + 24*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((113*t[1])/6 + (19*t[2])/2 + (673*t[3])/24 + (323*t[4])/4 - 
       (1175*t[5])/48 + (209*t[6])/24 - (235*t[7])/4 - (111*t[8])/2 - 
       (1979*t[9])/48 - (241*t[10])/8 - (137*t[11])/2 - (5347*t[12])/48 - 
       (6365*t[13])/108 - (4589*t[14])/72 - (4423*t[15])/288 - (14*t[18])/3 - 
       (8*t[20])/3 - (14*t[21])/3 + (2*t[22])/3 + (14*t[23])/3 - 
       (22*t[24])/3 - 2*t[25] + 2*t[26] - (10*t[27])/3 + (2*t[29])/3 - 
       2*t[30] - (8*t[32])/3 - (50*t[34])/3 + 2*t[36] + (25*t[38])/3 + 
       4*t[40] - (25*t[41])/6 + (11*t[42])/6 + (59*t[43])/24 - t[44]/3 + 
       (37*t[45])/6 - t[46]/2 - 17*t[47] + (91*t[48])/8 - (37*t[49])/24 + 
       (25*t[50])/24 - (17*t[51])/48 + (55*t[52])/24 - (347*t[53])/24 + 
       (25*t[54])/24 + t[58]/3 - 15*t[59] - (44*t[60])/3 - (1349*t[61])/12 + 
       (1327*t[62])/8 + (257*t[63])/8 - (267*t[64])/8 - (5327*t[65])/36 + 
       (6197*t[66])/36 + (28*t[70])/3 - (28*t[71])/3 - (16*t[72])/3 + 
       4*t[73] + 8*t[74] - 4*t[75] - (64*t[76])/3 - (26*t[77])/3 + 
       (28*t[78])/3 - (167*t[80])/3 - (34*t[81])/3 - (38*t[82])/3 - 
       (16*t[83])/3 - (22*t[84])/3 - (43*t[85])/3 - (251*t[86])/6 + 
       (85*t[87])/3 + (85*t[88])/6 - (20*t[89])/3 - (8*t[97])/3 - 104*t[98] + 
       108*t[99] + 24*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((-37*t[1])/6 + (43*t[2])/6 + (167*t[3])/24 + 
       (17*t[4])/4 + (947*t[5])/48 + 28*t[6] - (575*t[7])/8 + (643*t[8])/24 - 
       (4807*t[9])/48 + (449*t[10])/12 - (803*t[11])/12 - (1673*t[12])/48 - 
       (12071*t[13])/432 - (805*t[14])/24 + (5129*t[15])/288 - (14*t[18])/3 + 
       (8*t[20])/3 - (14*t[21])/3 + (34*t[22])/3 + (14*t[23])/3 - 
       (14*t[24])/3 + (10*t[25])/3 - (2*t[26])/3 + 2*t[27] - (2*t[29])/3 + 
       2*t[30] + (2*t[31])/3 + (8*t[32])/3 - (50*t[34])/3 + 2*t[36] + 
       t[38]/3 - (4*t[40])/3 + (5*t[41])/6 - (19*t[42])/6 + (55*t[43])/12 - 
       t[44]/3 + (205*t[45])/12 + (7*t[46])/6 - (75*t[47])/2 + 
       (227*t[48])/24 - (17*t[49])/8 - (39*t[50])/8 - (127*t[51])/48 + 
       (325*t[52])/24 + (17*t[53])/8 + (131*t[54])/24 - (7*t[58])/3 + t[59] - 
       (188*t[60])/3 - (1253*t[61])/12 + (1071*t[62])/8 + t[63]/8 - 
       (203*t[64])/8 - (2831*t[65])/36 + (5333*t[66])/36 + (28*t[70])/3 - 
       (28*t[71])/3 - (16*t[72])/3 + 4*t[73] + 8*t[74] - 4*t[75] - 
       (64*t[76])/3 - (2*t[77])/3 + (28*t[78])/3 - (167*t[80])/3 - 
       (34*t[81])/3 - (38*t[82])/3 - (16*t[83])/3 + (2*t[84])/3 - 
       (43*t[85])/3 - (251*t[86])/6 + (133*t[87])/3 + (133*t[88])/6 + 
       (4*t[89])/3 - (8*t[97])/3 - 104*t[98] + 108*t[99] + 24*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-37*t[1])/6 + (43*t[2])/6 + (167*t[3])/24 + (17*t[4])/4 + 
       (947*t[5])/48 + 28*t[6] - (575*t[7])/8 + (643*t[8])/24 - 
       (4807*t[9])/48 + (449*t[10])/12 - (803*t[11])/12 - (1673*t[12])/48 - 
       (12071*t[13])/432 - (805*t[14])/24 + (5129*t[15])/288 - (14*t[18])/3 + 
       (8*t[20])/3 - (14*t[21])/3 + (34*t[22])/3 + (14*t[23])/3 - 
       (14*t[24])/3 + (10*t[25])/3 - (2*t[26])/3 + 2*t[27] - (2*t[29])/3 + 
       2*t[30] + (2*t[31])/3 + (8*t[32])/3 - (50*t[34])/3 + 2*t[36] + 
       t[38]/3 - (4*t[40])/3 + (5*t[41])/6 - (19*t[42])/6 + (55*t[43])/12 - 
       t[44]/3 + (205*t[45])/12 + (7*t[46])/6 - (75*t[47])/2 + 
       (227*t[48])/24 - (17*t[49])/8 - (39*t[50])/8 - (127*t[51])/48 + 
       (325*t[52])/24 + (17*t[53])/8 + (131*t[54])/24 - (7*t[58])/3 + t[59] - 
       (188*t[60])/3 - (1253*t[61])/12 + (1071*t[62])/8 + t[63]/8 - 
       (203*t[64])/8 - (2831*t[65])/36 + (5333*t[66])/36 + (28*t[70])/3 - 
       (28*t[71])/3 - (16*t[72])/3 + 4*t[73] + 8*t[74] - 4*t[75] - 
       (64*t[76])/3 - (2*t[77])/3 + (28*t[78])/3 - (167*t[80])/3 - 
       (34*t[81])/3 - (38*t[82])/3 - (16*t[83])/3 + (2*t[84])/3 - 
       (43*t[85])/3 - (251*t[86])/6 + (133*t[87])/3 + (133*t[88])/6 + 
       (4*t[89])/3 - (8*t[97])/3 - 104*t[98] + 108*t[99] + 24*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-7*t[1])/6 + (19*t[2])/2 + (481*t[3])/24 + (131*t[4])/4 - 
       (407*t[5])/48 + (401*t[6])/24 - (203*t[7])/4 - (63*t[8])/2 - 
       (1595*t[9])/48 - (49*t[10])/8 - (137*t[11])/2 - (1891*t[12])/48 - 
       (4493*t[13])/108 - (3629*t[14])/72 - (2119*t[15])/288 - (14*t[18])/3 - 
       (8*t[20])/3 - (14*t[21])/3 + (2*t[22])/3 + (14*t[23])/3 - 
       (22*t[24])/3 - 2*t[25] + 2*t[26] - (10*t[27])/3 + (2*t[29])/3 - 
       2*t[30] - (8*t[32])/3 - (50*t[34])/3 + 2*t[36] + t[38]/3 + 4*t[40] - 
       (25*t[41])/6 + (11*t[42])/6 + (59*t[43])/24 - t[44]/3 + (37*t[45])/6 - 
       t[46]/2 - 17*t[47] + (91*t[48])/8 - (37*t[49])/24 + (25*t[50])/24 - 
       (17*t[51])/48 + (55*t[52])/24 + (37*t[53])/24 + (25*t[54])/24 + 
       t[58]/3 + t[59] - (188*t[60])/3 - (1253*t[61])/12 + (1071*t[62])/8 + 
       t[63]/8 - (203*t[64])/8 - (2831*t[65])/36 + (5333*t[66])/36 + 
       (28*t[70])/3 - (28*t[71])/3 - (16*t[72])/3 + 4*t[73] + 8*t[74] - 
       4*t[75] - (64*t[76])/3 - (2*t[77])/3 + (28*t[78])/3 - (167*t[80])/3 - 
       (34*t[81])/3 - (38*t[82])/3 - (16*t[83])/3 + (2*t[84])/3 - 
       (43*t[85])/3 - (251*t[86])/6 + (133*t[87])/3 + (133*t[88])/6 + 
       (4*t[89])/3 - (8*t[97])/3 - 104*t[98] + 108*t[99] + 24*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-7*t[1])/6 + (19*t[2])/2 + (481*t[3])/24 + (131*t[4])/4 - 
       (407*t[5])/48 + (401*t[6])/24 - (203*t[7])/4 - (63*t[8])/2 - 
       (1595*t[9])/48 - (49*t[10])/8 - (137*t[11])/2 - (1891*t[12])/48 - 
       (4493*t[13])/108 - (3629*t[14])/72 - (2119*t[15])/288 - (14*t[18])/3 - 
       (8*t[20])/3 - (14*t[21])/3 + (2*t[22])/3 + (14*t[23])/3 - 
       (22*t[24])/3 - 2*t[25] + 2*t[26] - (10*t[27])/3 + (2*t[29])/3 - 
       2*t[30] - (8*t[32])/3 - (50*t[34])/3 + 2*t[36] + t[38]/3 + 4*t[40] - 
       (25*t[41])/6 + (11*t[42])/6 + (59*t[43])/24 - t[44]/3 + (37*t[45])/6 - 
       t[46]/2 - 17*t[47] + (91*t[48])/8 - (37*t[49])/24 + (25*t[50])/24 - 
       (17*t[51])/48 + (55*t[52])/24 + (37*t[53])/24 + (25*t[54])/24 + 
       t[58]/3 + t[59] - (188*t[60])/3 - (1253*t[61])/12 + (1071*t[62])/8 + 
       t[63]/8 - (203*t[64])/8 - (2831*t[65])/36 + (5333*t[66])/36 + 
       (28*t[70])/3 - (28*t[71])/3 - (16*t[72])/3 + 4*t[73] + 8*t[74] - 
       4*t[75] - (64*t[76])/3 - (2*t[77])/3 + (28*t[78])/3 - (167*t[80])/3 - 
       (34*t[81])/3 - (38*t[82])/3 - (16*t[83])/3 + (2*t[84])/3 - 
       (43*t[85])/3 - (251*t[86])/6 + (133*t[87])/3 + (133*t[88])/6 + 
       (4*t[89])/3 - (8*t[97])/3 - 104*t[98] + 108*t[99] + 24*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-73*t[1])/6 + (43*t[2])/6 + (167*t[3])/24 - (79*t[4])/4 + 
       (1139*t[5])/48 + 28*t[6] - (575*t[7])/8 + (643*t[8])/24 - 
       (5095*t[9])/48 + (449*t[10])/12 - (803*t[11])/12 + (247*t[12])/48 - 
       (13799*t[13])/432 - (805*t[14])/24 + (5321*t[15])/288 - (14*t[18])/3 + 
       (8*t[20])/3 - (14*t[21])/3 + (34*t[22])/3 + (14*t[23])/3 - 
       (14*t[24])/3 + (10*t[25])/3 - (2*t[26])/3 + 2*t[27] - (2*t[29])/3 + 
       2*t[30] + (2*t[31])/3 + (8*t[32])/3 - (50*t[34])/3 + 2*t[36] - 
       (23*t[38])/3 - (10*t[40])/3 + (5*t[41])/6 - (19*t[42])/6 + 
       (55*t[43])/12 - t[44]/3 + (205*t[45])/12 + (7*t[46])/6 - 
       (75*t[47])/2 + (227*t[48])/24 - (17*t[49])/8 - (39*t[50])/8 - 
       (127*t[51])/48 + (325*t[52])/24 + (145*t[53])/8 + (131*t[54])/24 - 
       (7*t[58])/3 + 11*t[59] - (308*t[60])/3 - (1277*t[61])/12 + 
       (1007*t[62])/8 - (191*t[63])/8 - (139*t[64])/8 - (1199*t[65])/36 + 
       (4709*t[66])/36 + (28*t[70])/3 - (10*t[71])/3 - (16*t[72])/3 + 
       4*t[73] + 8*t[74] - 4*t[75] - (64*t[76])/3 - (2*t[77])/3 + 
       (28*t[78])/3 - (167*t[80])/3 - (34*t[81])/3 - (38*t[82])/3 - 
       (16*t[83])/3 + (26*t[84])/3 - (43*t[85])/3 - (251*t[86])/6 + 
       (181*t[87])/3 + (181*t[88])/6 + (4*t[89])/3 - (8*t[97])/3 - 
       104*t[98] + 108*t[99] + 24*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((-7*t[1])/6 - (53*t[2])/2 + 
       (1249*t[3])/24 + (131*t[4])/4 - (407*t[5])/48 + (497*t[6])/24 - 
       (251*t[7])/4 - (39*t[8])/2 - (1307*t[9])/48 + (47*t[10])/8 - 
       (121*t[11])/2 - (1507*t[12])/48 - (3197*t[13])/108 - (5405*t[14])/72 + 
       (377*t[15])/288 - (14*t[18])/3 - (8*t[20])/3 - (14*t[21])/3 + 
       (2*t[22])/3 + (20*t[23])/3 - (22*t[24])/3 - 2*t[25] + 2*t[26] - 
       (10*t[27])/3 + (2*t[29])/3 - 2*t[30] + (10*t[32])/3 - (86*t[34])/3 + 
       2*t[36] + t[38]/3 + 6*t[40] - (25*t[41])/6 + (11*t[42])/6 + 
       (59*t[43])/24 - t[44]/3 + (37*t[45])/6 - t[46]/2 - 17*t[47] + 
       (91*t[48])/8 - (229*t[49])/24 + (25*t[50])/24 + (175*t[51])/48 - 
       (41*t[52])/24 + (229*t[53])/24 + (25*t[54])/24 + t[58]/3 + 11*t[59] - 
       (308*t[60])/3 - (1277*t[61])/12 + (1007*t[62])/8 - (191*t[63])/8 - 
       (139*t[64])/8 - (1199*t[65])/36 + (4709*t[66])/36 + (28*t[70])/3 - 
       (10*t[71])/3 - (16*t[72])/3 + 4*t[73] + 8*t[74] - 4*t[75] - 
       (64*t[76])/3 - (2*t[77])/3 + (28*t[78])/3 - (167*t[80])/3 - 
       (34*t[81])/3 - (38*t[82])/3 - (16*t[83])/3 + (26*t[84])/3 - 
       (43*t[85])/3 - (251*t[86])/6 + (181*t[87])/3 + (181*t[88])/6 + 
       (4*t[89])/3 - (8*t[97])/3 - 104*t[98] + 108*t[99] + 24*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-41*t[1])/9 - (175*t[2])/48 + (979*t[3])/96 + (1093*t[4])/96 + 
       (751*t[5])/96 - (815*t[6])/192 - (7865*t[7])/192 - (5585*t[8])/192 - 
       (1529*t[9])/32 + (5929*t[10])/192 - (7709*t[11])/192 - 
       (823*t[12])/48 - (52333*t[13])/1728 - (7637*t[14])/288 + 
       (2963*t[15])/1152 - (2*t[18])/3 + (3*t[19])/4 + t[20]/3 + t[21]/12 - 
       t[22]/3 - t[23]/12 + (2*t[24])/3 - t[25] + (3*t[26])/4 + t[27]/6 - 
       (3*t[28])/4 + (2*t[29])/3 + t[30]/4 + (67*t[31])/24 - (2*t[32])/3 + 
       (3*t[33])/2 - (26*t[34])/3 - 2*t[35] - t[36]/2 + t[37]/4 + 
       (13*t[38])/12 - (5*t[39])/4 + (9*t[40])/2 + (85*t[41])/24 - 
       (31*t[42])/8 + (937*t[43])/192 + (41*t[44])/12 + (385*t[45])/48 + 
       (43*t[46])/24 - (647*t[47])/24 - (169*t[48])/192 - (23*t[49])/96 - 
       (673*t[50])/192 - (127*t[51])/192 - (127*t[52])/192 + (23*t[53])/96 - 
       (11*t[54])/192 - (2*t[58])/3 + (205*t[59])/72 - (1631*t[60])/96 - 
       (208*t[61])/3 + (8327*t[62])/96 + (361*t[63])/32 - (871*t[64])/32 - 
       (823*t[65])/16 + (1293*t[66])/16 + (3*t[69])/2 + (25*t[70])/12 - 
       (25*t[71])/12 + t[72]/6 - (3*t[73])/2 + (31*t[74])/6 + (5*t[75])/2 - 
       (22*t[76])/3 + (19*t[77])/12 + (37*t[78])/12 + (11*t[79])/24 - 
       (1025*t[80])/24 - (229*t[81])/48 + t[82]/48 + (11*t[83])/24 - 
       (25*t[84])/8 - (257*t[85])/32 - (2635*t[86])/48 + (449*t[87])/32 + 
       (481*t[88])/64 + (191*t[89])/64 - t[97]/6 - 44*t[98] + 38*t[99] + 
       (97*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((17*t[1])/6 - (1703*t[2])/288 - (1229*t[3])/288 + 
       (4861*t[4])/288 - (2003*t[5])/288 + (1871*t[6])/144 - (43*t[7])/2 - 
       (6827*t[8])/288 - (5225*t[9])/192 + (4891*t[10])/576 - 
       (7621*t[11])/288 - (803*t[12])/64 - (38017*t[13])/1296 - 
       (1591*t[14])/128 + (785*t[15])/864 - (85*t[18])/36 - (5*t[19])/4 + 
       t[20]/6 - (35*t[21])/12 + (11*t[22])/6 + (115*t[23])/36 - 
       (61*t[24])/18 - t[25]/6 + (19*t[26])/12 + t[27] + (3*t[28])/4 - 
       (7*t[29])/6 + t[30]/4 - (14*t[31])/9 + (7*t[32])/6 - t[33] - 
       (2*t[34])/3 + 2*t[35] - t[36] + (3*t[37])/4 - (17*t[38])/12 + 
       (5*t[39])/4 - (7*t[40])/3 - (169*t[41])/144 + (53*t[42])/36 + 
       (307*t[43])/48 - (31*t[44])/12 + (979*t[45])/288 + (23*t[46])/24 - 
       (2653*t[47])/144 + (283*t[48])/72 - (2089*t[49])/576 + 
       (335*t[50])/72 - (1211*t[51])/1152 + (37*t[52])/72 + 
       (2089*t[53])/576 + (103*t[54])/96 + t[58]/6 + (109*t[59])/36 - 
       (4895*t[60])/288 - (5033*t[61])/72 + (24803*t[62])/288 + 
       (1061*t[63])/96 - (7909*t[64])/288 - (22063*t[65])/432 + 
       (35341*t[66])/432 + (3*t[69])/2 + (25*t[70])/12 - (25*t[71])/12 + 
       t[72]/6 - (3*t[73])/2 + (61*t[74])/12 + (5*t[75])/2 - (22*t[76])/3 + 
       (19*t[77])/12 + (37*t[78])/12 + (11*t[79])/24 - (1025*t[80])/24 - 
       (77*t[81])/16 + t[82]/16 + (41*t[83])/72 - (25*t[84])/8 - 
       (785*t[85])/96 - (7823*t[86])/144 + (4051*t[87])/288 + 
       (4339*t[88])/576 + (551*t[89])/192 - t[97]/6 - 44*t[98] + 38*t[99] + 
       (295*t[100])/12) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((9*t[1])/8 - (283*t[2])/72 + 
       (1115*t[3])/144 + (541*t[4])/48 - (1049*t[5])/96 - (1271*t[6])/96 - 
       (1763*t[7])/144 + (239*t[8])/48 - (2179*t[9])/288 + (5*t[10])/72 - 
       (3359*t[11])/144 - (67*t[12])/96 - (18001*t[13])/1728 - 
       (3583*t[14])/216 - (6625*t[15])/576 - t[18]/3 + t[20]/3 - 
       (4*t[21])/3 + (5*t[22])/3 + (4*t[23])/3 - t[24]/3 + (2*t[25])/3 - 
       t[26]/3 - (3*t[28])/2 + (2*t[29])/3 + t[30] - (5*t[31])/6 + t[32]/3 - 
       (23*t[34])/6 + t[35] + t[36] + t[37]/2 + (2*t[38])/3 - t[39] + 
       t[40]/12 - (17*t[41])/72 + (5*t[42])/72 - (701*t[43])/144 - 
       (7*t[44])/6 + (41*t[45])/72 - (20*t[46])/9 + (47*t[47])/18 + 
       (35*t[48])/16 + (103*t[49])/144 - (197*t[50])/144 + (5*t[51])/288 + 
       (173*t[52])/144 - (103*t[53])/144 + (307*t[54])/144 - t[58]/6 + 
       (35*t[59])/24 - (425*t[60])/36 - (1015*t[61])/24 - (581*t[62])/144 - 
       (2189*t[63])/144 + (1465*t[64])/48 - (329*t[65])/108 + 
       (3017*t[66])/72 + 2*t[69] + (2*t[70])/3 - (2*t[71])/3 - (8*t[72])/3 + 
       3*t[73] - (55*t[74])/18 - (5*t[75])/2 - (41*t[76])/12 - 
       (19*t[77])/12 + (5*t[78])/3 + (13*t[79])/6 - (71*t[80])/9 - 
       (95*t[81])/36 - (49*t[82])/36 - (4*t[83])/9 - (5*t[84])/72 - 
       (421*t[85])/72 + (1075*t[86])/36 + (701*t[87])/72 + (701*t[88])/144 + 
       (109*t[89])/24 - (7*t[97])/12 - 16*t[98] + 16*t[99] + 
       (299*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((-23*t[1])/3 - (7*t[2])/2 + (361*t[3])/24 + 
       (91*t[4])/4 - (1139*t[5])/48 + (79*t[6])/12 - (177*t[7])/4 - 55*t[8] - 
       (1307*t[9])/48 + (375*t[10])/8 - (679*t[11])/8 - (1015*t[12])/48 - 
       (3211*t[13])/54 - (1987*t[14])/36 - (1133*t[15])/96 - (14*t[18])/3 - 
       t[19] - (5*t[20])/3 - (17*t[21])/3 - (4*t[22])/3 + (17*t[23])/3 - 
       (16*t[24])/3 - 2*t[25] + (7*t[26])/2 + (2*t[27])/3 + (14*t[29])/3 - 
       2*t[30] - t[31] - (2*t[32])/3 - (26*t[34])/3 + 2*t[37] - 
       (13*t[38])/6 + 2*t[39] - (5*t[41])/3 - (2*t[42])/3 - (121*t[43])/24 + 
       (17*t[44])/3 + (67*t[45])/6 - t[46]/2 - 36*t[47] + (11*t[48])/2 - 
       (49*t[49])/24 + (14*t[50])/3 - (29*t[51])/48 + (8*t[52])/3 + 
       (49*t[53])/24 - (49*t[54])/12 - t[58]/6 - 2*t[59] - (191*t[60])/3 - 
       (1847*t[61])/12 + (249*t[62])/2 + 33*t[63] - (241*t[64])/8 - 
       (878*t[65])/9 + (7673*t[66])/36 + (28*t[70])/3 - (28*t[71])/3 + 
       (11*t[72])/3 + 6*t[74] + 2*t[75] - (107*t[76])/6 - (14*t[77])/3 + 
       (13*t[78])/3 - (266*t[80])/3 - (65*t[81])/6 - (2*t[82])/3 - 
       (28*t[83])/3 - (97*t[84])/12 - (145*t[85])/12 - (311*t[86])/6 + 
       (379*t[87])/12 + (355*t[88])/24 - (65*t[89])/3 - (2*t[97])/3 - 
       92*t[98] + 68*t[99] + 25*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((31*t[1])/8 - (16*t[2])/3 + 
       (265*t[3])/192 - (51*t[4])/16 - (241*t[5])/128 - (1181*t[6])/96 + 
       (835*t[7])/96 - (151*t[8])/16 + (2091*t[9])/128 - (1615*t[10])/96 + 
       (2681*t[11])/192 + (2567*t[12])/384 + (1231*t[13])/192 + 
       (1313*t[14])/1152 - (33829*t[15])/6912 + (11*t[18])/6 + t[19]/2 - 
       t[20]/3 + (7*t[21])/3 + (7*t[22])/6 - (7*t[23])/3 + t[24] - 
       (5*t[25])/6 + t[26]/12 + (5*t[27])/6 - t[29] - (17*t[30])/12 + 
       t[31]/4 - t[32] + t[33]/6 + (7*t[34])/3 + (7*t[38])/6 - t[39]/6 + 
       (3*t[40])/2 - t[41]/6 + (13*t[42])/12 - (191*t[43])/64 + 
       (23*t[44])/12 - (43*t[45])/12 + (17*t[46])/24 + 11*t[47] - 
       (41*t[48])/12 - (157*t[49])/96 + (93*t[51])/64 - (10*t[52])/3 + 
       (157*t[53])/96 - (103*t[54])/48 + t[58]/6 - (9*t[59])/8 + 
       (601*t[60])/48 - (415*t[61])/96 - (3307*t[62])/192 - 
       (4997*t[63])/192 + (1053*t[64])/64 + (10325*t[65])/288 - 
       (6467*t[66])/288 - (5*t[69])/6 - (9*t[70])/2 + (9*t[71])/2 + t[72]/2 + 
       (7*t[73])/12 - (11*t[74])/6 - (7*t[75])/12 + (73*t[76])/12 + 
       (19*t[77])/12 - (7*t[78])/3 + (395*t[80])/24 + (25*t[81])/8 + 
       (9*t[82])/8 - (13*t[83])/6 + (25*t[84])/24 + (325*t[85])/48 + 
       (691*t[86])/48 - (497*t[87])/48 - (545*t[88])/96 + (803*t[89])/96 + 
       30*t[98] - 29*t[99] + (51*t[100])/2) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*((-5*t[1])/12 + (2*t[2])/3 + 
       (1007*t[3])/96 - (11*t[4])/16 + (4391*t[5])/192 + (13*t[6])/16 - 
       (1455*t[7])/32 - (365*t[8])/96 - (12499*t[9])/192 + (743*t[10])/48 - 
       (449*t[11])/12 - (4949*t[12])/192 - (23951*t[13])/1728 - 
       (855*t[14])/32 + (11717*t[15])/1152 - (5*t[18])/3 + t[19]/2 + 
       (7*t[20])/6 - (7*t[21])/6 + (29*t[22])/6 + (7*t[23])/6 - 
       (13*t[24])/6 + (5*t[25])/6 - (2*t[26])/3 + t[27]/2 - t[28]/2 + 
       t[29]/3 - t[30]/2 + (2*t[31])/3 + t[32]/6 + t[33]/2 - (107*t[34])/12 + 
       t[36]/2 + (4*t[38])/3 - t[39]/2 + (5*t[40])/3 - (7*t[41])/6 + 
       t[42]/3 + (181*t[43])/48 + (11*t[44])/12 + (349*t[45])/48 + 
       (13*t[46])/24 - (135*t[47])/8 + (293*t[48])/96 - (69*t[49])/32 - 
       (169*t[50])/32 + (113*t[51])/192 + (595*t[52])/96 + (69*t[53])/32 - 
       (31*t[54])/96 - (13*t[58])/12 - (9*t[59])/8 - (377*t[60])/12 - 
       (3545*t[61])/48 + (2105*t[62])/32 - (153*t[63])/32 + (125*t[64])/32 - 
       (5633*t[65])/144 + (11057*t[66])/144 - (3*t[69])/2 + (17*t[70])/6 - 
       (17*t[71])/6 - (11*t[72])/6 + t[73] + 4*t[74] - t[75] - (25*t[76])/3 - 
       (5*t[77])/12 + (7*t[78])/3 - (179*t[80])/12 - (35*t[81])/6 - 
       (41*t[82])/12 - (10*t[83])/3 - (47*t[84])/24 - (179*t[85])/24 - 
       (407*t[86])/24 + (503*t[87])/24 + (503*t[88])/48 - (29*t[89])/12 - 
       (11*t[97])/12 - 44*t[98] + 39*t[99] + (51*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((29*t[1])/18 - t[2]/8 - (1565*t[3])/288 + (109*t[4])/12 + 
       (8563*t[5])/576 + (5387*t[6])/288 - (823*t[7])/32 + (3151*t[8])/96 - 
       (26243*t[9])/576 + (1315*t[10])/32 + (395*t[11])/96 - 
       (13399*t[12])/576 + (14887*t[13])/5184 + (2387*t[14])/1728 + 
       (71257*t[15])/3456 - (26*t[18])/9 - t[19] + (4*t[20])/9 - 
       (35*t[21])/9 + (50*t[22])/9 + (35*t[23])/9 - (52*t[24])/9 + 
       (10*t[25])/3 - t[26]/6 + (14*t[27])/9 + 2*t[28] + (43*t[29])/18 + 
       (2*t[30])/3 - 5*t[31] + (22*t[32])/9 - 2*t[33] - (133*t[34])/18 - 
       (5*t[36])/6 - (14*t[38])/9 + 3*t[39] - 3*t[40] - (65*t[41])/36 + 
       (13*t[42])/36 + (37*t[43])/9 - (22*t[44])/9 + (2189*t[45])/144 + 
       t[46]/6 - (587*t[47])/24 + (181*t[48])/24 + (223*t[49])/144 + 
       (187*t[50])/72 - (643*t[51])/288 + (409*t[52])/72 - (223*t[53])/144 - 
       (379*t[54])/36 - (13*t[58])/18 - 2*t[59] - (2233*t[60])/72 - 
       (4847*t[61])/144 + (1113*t[62])/32 - (299*t[63])/96 - (215*t[64])/96 - 
       (21311*t[65])/432 + (14969*t[66])/432 - (11*t[69])/3 + (10*t[70])/9 - 
       (10*t[71])/9 + (2*t[72])/9 + (11*t[73])/6 + t[74] - (11*t[75])/6 - 
       (275*t[76])/18 - (5*t[77])/9 + (55*t[78])/9 - (965*t[80])/36 - 
       (223*t[81])/36 - (329*t[82])/36 - (101*t[83])/18 - (67*t[84])/36 - 
       (725*t[85])/72 - (749*t[86])/72 + (1517*t[87])/72 + (1517*t[88])/144 - 
       (1307*t[89])/144 - (25*t[97])/18 - (260*t[98])/3 + 80*t[99] + 
       (51*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]^2*((-9*t[1])/16 - (83*t[2])/96 + (25*t[3])/12 - 
       (47*t[4])/8 - (53*t[5])/8 - (1405*t[6])/192 + (1573*t[7])/96 + 
       (55*t[8])/8 + (1717*t[9])/96 - (43*t[10])/12 - (247*t[11])/192 + 
       (143*t[12])/16 + (575*t[13])/576 - (6043*t[14])/576 - (101*t[15])/18 - 
       (3*t[17])/16 - (17*t[18])/24 - t[19] - t[20]/2 - (3*t[21])/2 + 
       (9*t[23])/8 - (21*t[24])/8 + t[27]/2 - t[28] - t[31]/2 - t[32]/2 + 
       t[35]/4 + (5*t[37])/4 - t[39] + t[40]/2 - (83*t[41])/48 + 
       (9*t[42])/8 - (335*t[43])/96 + (3*t[44])/2 + (151*t[45])/24 - 
       (17*t[46])/24 + (7*t[47])/24 - (341*t[48])/64 + (47*t[49])/12 + 
       (905*t[50])/192 - (89*t[51])/96 - (1001*t[52])/192 - (47*t[53])/12 - 
       (1273*t[54])/192 - (19*t[59])/48 - (521*t[60])/96 - (1509*t[61])/32 - 
       (5053*t[62])/192 - (4975*t[63])/192 + (1505*t[64])/64 + 
       (607*t[65])/72 - (179*t[66])/12 + t[67]/16 + t[69] + (3*t[70])/4 - 
       (3*t[71])/4 - (3*t[72])/2 + 3*t[73] - (251*t[74])/24 - (7*t[75])/2 + 
       t[76] - (3*t[77])/2 - t[78] + 6*t[79] - (145*t[80])/12 + 
       (47*t[81])/48 - (95*t[82])/48 + (133*t[83])/12 - (35*t[84])/12 + 
       (685*t[85])/96 + (1363*t[86])/24 - (5*t[87])/96 - (5*t[88])/192 + 
       (529*t[89])/64 + 12*t[98] - 10*t[99] + (207*t[100])/8) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-56*t[1])/9 + (179*t[2])/48 - (379*t[3])/144 - (9*t[4])/2 + 
       (629*t[5])/288 - (3095*t[6])/144 - (125*t[7])/24 - (13*t[8])/16 - 
       (3427*t[9])/288 + (995*t[10])/24 - (133*t[11])/6 - (1181*t[12])/288 - 
       (29143*t[13])/2592 + (1825*t[14])/216 + (623*t[15])/64 + (3*t[16])/4 - 
       (14*t[18])/9 - t[19]/2 - (2*t[20])/9 - (37*t[21])/18 - (10*t[22])/9 + 
       (14*t[23])/9 - (23*t[24])/18 + (21*t[26])/4 + (43*t[27])/18 + t[28] + 
       (14*t[29])/9 + (35*t[30])/12 + (8*t[31])/3 + (35*t[32])/18 - 
       (5*t[33])/3 + (59*t[34])/18 + 3*t[35] + (2*t[36])/3 + t[37] - 
       (233*t[38])/36 + (13*t[39])/6 - (19*t[40])/12 - t[41]/18 - 
       (13*t[42])/18 + (919*t[43])/144 - (4*t[44])/9 + (503*t[45])/144 - 
       (3*t[46])/4 - (353*t[47])/24 - (457*t[48])/48 + (121*t[49])/144 + 
       (245*t[50])/144 - (1159*t[51])/288 + (107*t[52])/144 - 
       (265*t[53])/144 - (355*t[54])/144 - (29*t[58])/36 + (85*t[59])/24 - 
       (299*t[60])/36 - (2083*t[61])/72 - (2257*t[62])/96 + (3109*t[63])/96 - 
       (4561*t[64])/96 - (1123*t[65])/54 + (623*t[66])/27 - (3*t[68])/4 - 
       (5*t[69])/6 + (41*t[70])/18 - (41*t[71])/18 + (115*t[72])/18 - 
       (35*t[73])/12 + (7*t[74])/12 + (23*t[75])/12 - (23*t[76])/18 - 
       (49*t[77])/18 + (79*t[78])/36 - 8*t[79] + (85*t[80])/36 + 
       (107*t[81])/36 + (34*t[82])/9 + (175*t[83])/18 + (133*t[84])/72 + 
       (625*t[85])/72 + (2905*t[86])/72 - (1093*t[87])/72 - 
       (1057*t[88])/144 - (1507*t[89])/72 + t[90]/4 + t[93] + (25*t[97])/36 + 
       t[98]/3 - 9*t[99] + 26*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((23*t[1])/18 + (323*t[2])/24 + (7405*t[3])/288 + 
       (1465*t[4])/24 - (20147*t[5])/576 - (5053*t[6])/288 + (941*t[7])/96 - 
       (189*t[8])/32 - (4013*t[9])/576 - (7055*t[10])/96 + (9659*t[11])/96 + 
       (15611*t[12])/576 + (348625*t[13])/5184 + (191*t[14])/1728 - 
       (6937*t[15])/384 - (5*t[16])/6 - (5*t[17])/6 + (49*t[18])/9 + 
       2*t[19] + (40*t[20])/9 + (58*t[21])/9 + (53*t[22])/9 - (34*t[23])/9 + 
       (86*t[24])/9 - t[25] + (5*t[26])/3 + (8*t[27])/9 - 4*t[28] + 
       t[29]/18 + (19*t[30])/3 + (19*t[31])/3 - (17*t[32])/9 + (19*t[33])/3 - 
       (83*t[34])/9 + 2*t[35] - (7*t[36])/2 - 8*t[37] + (40*t[38])/9 - 
       (31*t[39])/3 + (15*t[40])/2 + (247*t[41])/36 - (53*t[42])/36 - 
       (599*t[43])/36 + (97*t[44])/18 - (625*t[45])/144 + (47*t[46])/12 + 
       (323*t[47])/24 - (229*t[48])/48 + (47*t[49])/72 + (905*t[50])/144 + 
       (91*t[51])/36 - (2185*t[52])/144 - (191*t[53])/72 - (1693*t[54])/144 + 
       (35*t[58])/18 + (11*t[59])/3 + (4745*t[60])/72 + (19831*t[61])/144 - 
       (8803*t[62])/96 - (4703*t[63])/32 - (7909*t[64])/96 + 
       (48115*t[65])/432 - (85657*t[66])/432 + t[67]/3 + (5*t[68])/3 + 
       (22*t[69])/3 - (35*t[70])/9 + (35*t[71])/9 - (28*t[72])/9 - 
       (13*t[73])/6 + 3*t[74] + (13*t[75])/6 + (86*t[76])/9 + 
       (161*t[77])/18 - t[78]/18 - 14*t[79] + (601*t[80])/36 + 
       (59*t[81])/36 - (587*t[82])/36 + (379*t[83])/18 + (128*t[84])/9 - 
       (689*t[85])/72 + (2041*t[86])/72 - (583*t[87])/72 - (583*t[88])/144 + 
       (8647*t[89])/144 - t[94]/3 - (19*t[97])/18 - (32*t[98])/3 + 30*t[99] + 
       26*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - v]*
      ((9*t[1])/4 + (51*t[2])/16 + (33*t[3])/8 + (45*t[4])/4 + 
       (129*t[5])/32 + (831*t[6])/32 - (63*t[7])/2 + (27*t[8])/2 - 
       (867*t[9])/32 + (141*t[10])/16 - (873*t[11])/32 - (387*t[12])/32 - 
       (11*t[13])/8 - (329*t[14])/32 + (683*t[15])/64 + t[18] + (3*t[22])/4 + 
       3*t[23] + 3*t[24] + (3*t[26])/2 + 3*t[31] + (15*t[32])/4 - 
       (15*t[33])/4 + (3*t[34])/2 - (3*t[38])/4 + (15*t[39])/4 - 
       (63*t[40])/8 - (15*t[41])/4 + (15*t[42])/2 + (111*t[43])/16 - 
       (21*t[45])/4 - (117*t[47])/8 + (201*t[48])/32 - (69*t[49])/16 + 
       (105*t[50])/32 + (3*t[51])/32 + (207*t[52])/32 + (69*t[53])/16 + 
       (27*t[54])/32 + (3*t[58])/2 - (135*t[59])/16 - (219*t[60])/16 - 
       (753*t[61])/16 + (2679*t[62])/32 - (459*t[63])/32 - (1305*t[64])/32 - 
       (181*t[65])/16 + (399*t[66])/16 + 3*t[74] - (63*t[76])/8 - 
       (9*t[77])/4 + (9*t[78])/2 - (21*t[80])/4 - (15*t[81])/8 - 
       (21*t[82])/8 - 3*t[83] + (3*t[84])/16 - (9*t[85])/16 - 75*t[86] + 
       (249*t[87])/16 + (249*t[88])/32 + (405*t[89])/32 - (9*t[97])/8 - 
       54*t[98] + 54*t[99] + 27*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((11*t[1])/6 - (25*t[2])/3 + 
       (203*t[3])/32 + (124*t[4])/3 - (4963*t[5])/192 - (23*t[6])/48 + 
       (179*t[7])/16 + (213*t[8])/4 + (521*t[9])/192 - (365*t[10])/8 + 
       (1979*t[11])/32 + (6979*t[12])/192 + (13559*t[13])/288 + 
       (5467*t[14])/576 - (75733*t[15])/3456 + t[16]/3 - (7*t[17])/6 + 
       (13*t[18])/3 + (2*t[19])/3 + (20*t[20])/3 + (31*t[21])/3 + 4*t[22] - 
       (31*t[23])/3 + 7*t[24] + (32*t[25])/3 - (43*t[26])/6 + (4*t[27])/3 - 
       (7*t[29])/3 - (23*t[30])/6 + (23*t[31])/6 + 8*t[32] - (14*t[33])/3 - 
       (13*t[34])/6 + (2*t[36])/3 - t[37]/3 + (8*t[38])/3 + (49*t[39])/6 - 
       (41*t[40])/6 + (67*t[41])/12 - (41*t[42])/12 - (1121*t[43])/96 + 
       (19*t[44])/6 - (21*t[45])/4 - (65*t[46])/12 + (104*t[47])/3 - 
       (19*t[48])/12 - (38*t[49])/3 - (95*t[50])/12 + (409*t[51])/48 + 
       (31*t[52])/4 - (23*t[54])/2 + (5*t[55])/6 + t[58] - (61*t[59])/12 + 
       (220*t[60])/3 + (3779*t[61])/48 - (7801*t[62])/96 - (5117*t[63])/32 + 
       (7009*t[64])/96 + (10363*t[65])/144 - (16261*t[66])/144 + 
       (2*t[67])/3 + t[69]/3 - (25*t[70])/3 + (25*t[71])/3 + (7*t[72])/3 + 
       (31*t[73])/6 - t[74]/3 - (31*t[75])/6 - (23*t[76])/3 - t[77]/2 + 
       11*t[78] + (37*t[80])/4 - (19*t[81])/12 - (173*t[82])/12 - 5*t[83] + 
       (265*t[84])/24 - (121*t[85])/6 + (1291*t[86])/24 + 19*t[87] + 
       28*t[88] + (563*t[89])/12 + (2*t[92])/3 - (2*t[94])/3 - 4*t[95] - 
       4*t[96] + 2*t[97] - 76*t[98] + 74*t[99] + 27*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*
      (7*t[1] - (35*t[2])/6 - (43*t[3])/6 + (59*t[4])/2 - (37*t[5])/2 - 
       (815*t[6])/24 + (77*t[7])/12 + (41*t[8])/4 + (47*t[9])/12 + 
       (61*t[10])/24 - (601*t[11])/12 - (33*t[12])/8 - (2221*t[13])/144 - 
       (3391*t[14])/144 - (99*t[15])/8 - (2*t[18])/3 + 2*t[21] - 4*t[23] - 
       2*t[24] - 8*t[31] + (11*t[41])/6 - (9*t[42])/2 - (59*t[43])/6 + 
       (31*t[45])/6 - (7*t[46])/3 - (31*t[47])/3 + (133*t[49])/24 + 
       (29*t[50])/3 - (49*t[51])/48 - (29*t[52])/3 - (133*t[53])/24 - 
       (49*t[54])/12 - (4*t[59])/3 - (307*t[60])/12 - (487*t[61])/4 + 
       (205*t[62])/24 - (761*t[63])/24 + (241*t[64])/8 - (643*t[65])/36 + 
       (1567*t[66])/12 - t[69] - (34*t[74])/3 + 4*t[79] - (61*t[80])/3 - 
       (25*t[81])/3 + (25*t[82])/3 + (71*t[83])/6 - (53*t[84])/12 - 
       (277*t[85])/12 + (71*t[86])/3 + (371*t[87])/12 + (371*t[88])/24 + 
       (137*t[89])/8 + 28*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Omega2[u, v, w]*((13*t[1])/6 - (71*t[2])/12 + (121*t[3])/24 - 14*t[4] + 
       (1327*t[5])/48 + (29*t[6])/8 - (159*t[7])/4 + (61*t[8])/3 - 
       (3425*t[9])/48 - (107*t[10])/12 - (373*t[11])/12 - (1459*t[12])/48 - 
       (553*t[13])/27 - (1433*t[14])/48 + (1361*t[15])/96 - (4*t[18])/3 - 
       t[19] + (4*t[20])/3 - (7*t[21])/3 + (8*t[22])/3 + (7*t[23])/3 - 
       (10*t[24])/3 + (8*t[25])/3 - (4*t[26])/3 - t[28] + (2*t[29])/3 + 
       3*t[30] - (8*t[31])/3 + (4*t[32])/3 - (22*t[34])/3 + 2*t[36] + t[37] + 
       (2*t[38])/3 - t[39] - (2*t[40])/3 - t[41]/3 - t[42]/3 + 
       (181*t[43])/24 - (2*t[44])/3 + (37*t[45])/6 + (7*t[46])/3 - 22*t[47] + 
       (283*t[48])/24 - (23*t[49])/4 - (35*t[50])/8 - (19*t[51])/24 + 
       (185*t[52])/24 + (23*t[53])/4 + (157*t[54])/24 - (2*t[58])/3 - t[59] - 
       (221*t[60])/6 - (1153*t[61])/12 + (719*t[62])/8 - (191*t[63])/8 + 
       (809*t[64])/8 - (871*t[65])/36 + (3601*t[66])/36 - 2*t[69] + 
       (2*t[70])/3 - (2*t[71])/3 - (14*t[72])/3 + 4*t[73] + 6*t[74] - 
       2*t[75] - (26*t[76])/3 - (10*t[77])/3 + (14*t[78])/3 + 4*t[79] - 
       (13*t[80])/3 - (20*t[81])/3 - (4*t[82])/3 - (32*t[83])/3 + 
       (5*t[84])/6 - (85*t[85])/6 - (25*t[86])/6 + (187*t[87])/6 + 
       (187*t[88])/12 + (185*t[89])/12 - (4*t[97])/3 - 40*t[98] + 40*t[99] + 
       28*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 
       1 - v]*((5*t[1])/2 - (25*t[2])/6 - t[3]/3 + (357*t[4])/8 - 
       (229*t[5])/4 - (495*t[6])/16 + (115*t[7])/3 + (77*t[8])/2 + 
       (1265*t[9])/24 - (121*t[10])/24 - (419*t[11])/12 + 10*t[12] - 
       (5797*t[13])/288 + (643*t[14])/144 - (585*t[15])/16 - t[17]/2 + 
       2*t[24] - 7*t[31] - (25*t[41])/12 + (25*t[42])/12 - (589*t[43])/24 - 
       (41*t[45])/12 - (20*t[46])/3 + (101*t[47])/6 + (33*t[48])/8 + 
       (605*t[49])/24 + (107*t[50])/24 - (365*t[51])/48 - (107*t[52])/24 - 
       (605*t[53])/24 - (349*t[54])/24 - (9*t[59])/4 - (79*t[60])/6 - 
       (315*t[61])/4 - (269*t[62])/3 - (31*t[63])/6 + (269*t[64])/4 - 
       (683*t[65])/36 + (1369*t[66])/12 + 2*t[67] + 4*t[69] - (44*t[74])/3 - 
       18*t[79] - (175*t[80])/6 - (23*t[81])/3 + (23*t[82])/3 + 
       (11*t[83])/3 - (41*t[84])/6 - (38*t[85])/3 + (421*t[86])/3 + 
       (43*t[87])/3 + (43*t[88])/6 + (115*t[89])/4 - t[94] + 29*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-19*t[1])/4 - (17*t[2])/12 + (25*t[3])/6 + (277*t[4])/8 - 
       (21*t[5])/2 - (239*t[6])/16 + (859*t[7])/12 + (39*t[8])/4 + 
       (713*t[9])/24 - (775*t[10])/24 - (35*t[11])/3 + (13*t[12])/2 - 
       (9061*t[13])/288 - (5525*t[14])/144 - (571*t[15])/48 - (5*t[17])/2 - 
       4*t[21] + 4*t[23] + 4*t[24] + 3*t[31] + (2*t[41])/3 - (2*t[42])/3 - 
       (103*t[43])/24 + (19*t[45])/12 - (2*t[46])/3 + (59*t[47])/6 - 
       (45*t[48])/8 + (125*t[49])/24 + (137*t[50])/24 - (101*t[51])/48 - 
       (137*t[52])/24 - (125*t[53])/24 - (211*t[54])/24 - (9*t[59])/4 - 
       (79*t[60])/6 - (315*t[61])/4 - (269*t[62])/3 - (31*t[63])/6 + 
       (269*t[64])/4 - (683*t[65])/36 + (1369*t[66])/12 + 2*t[67] + 4*t[69] - 
       (44*t[74])/3 - 18*t[79] - (175*t[80])/6 - (23*t[81])/3 + 
       (23*t[82])/3 + (11*t[83])/3 - (41*t[84])/6 - (38*t[85])/3 + 
       (421*t[86])/3 + (43*t[87])/3 + (43*t[88])/6 + (115*t[89])/4 - t[94] + 
       29*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((13*t[1])/8 - (109*t[2])/24 - (95*t[3])/192 - (179*t[4])/48 - 
       (2107*t[5])/384 - (847*t[6])/96 + (163*t[7])/32 + (95*t[8])/24 + 
       (1059*t[9])/128 + (1009*t[10])/96 - (7*t[11])/192 + (429*t[12])/128 + 
       (3133*t[13])/1728 - (1723*t[14])/1152 - (3863*t[15])/2304 + t[18]/3 - 
       t[20]/2 + t[21]/2 + t[22]/2 - (5*t[23])/6 - t[24]/3 - t[25]/2 + 
       t[26]/2 + t[27]/2 - t[28]/2 - (3*t[30])/4 - t[31]/12 - t[33]/2 - 
       (3*t[34])/2 + t[35] + (3*t[38])/4 + t[39]/2 + t[40]/4 - t[41]/6 - 
       t[42]/3 - (275*t[43])/64 + t[44]/4 + (73*t[45])/12 + (3*t[46])/8 - 
       (23*t[47])/12 - (43*t[48])/24 - (223*t[49])/96 + (19*t[50])/24 + 
       (265*t[51])/192 - (55*t[52])/24 + (223*t[53])/96 - (37*t[54])/16 + 
       t[58]/4 + t[59]/3 - (71*t[60])/48 - (1387*t[61])/96 - 
       (3491*t[62])/192 - (1775*t[63])/64 - (301*t[64])/192 + 
       (1279*t[65])/96 - (2311*t[66])/288 + t[69]/2 - 2*t[70] + 2*t[71] + 
       t[73]/4 - (3*t[74])/2 - (3*t[75])/4 - (5*t[76])/4 + t[78]/2 + 
       2*t[79] - (3*t[80])/8 - (5*t[81])/8 - (7*t[82])/8 + (47*t[83])/12 - 
       (11*t[84])/8 - (11*t[85])/16 + (839*t[86])/48 + (169*t[87])/48 + 
       (169*t[88])/96 + (81*t[89])/32 - t[97]/4 - 12*t[98] + 11*t[99] + 
       (59*t[100])/2) + HPL[{0, 0, 1}, 1 - w]*Omega2[u, v, w]*
      ((-7*t[1])/4 + 2*t[2] + (23*t[3])/8 - (23*t[4])/2 + (525*t[5])/16 + 
       (5*t[6])/8 - 19*t[7] - t[8]/4 - (607*t[9])/16 + (87*t[10])/4 - 
       27*t[11] - (405*t[12])/16 - (193*t[13])/24 - (625*t[14])/48 + 
       (1321*t[15])/96 - 2*t[18] - t[19] - t[20] - 3*t[21] + 3*t[23] - 
       2*t[24] + 2*t[29] + t[30] - t[31] - (3*t[34])/2 - (3*t[38])/2 - 
       t[39] + t[40]/2 - (9*t[41])/4 + (5*t[42])/4 + (77*t[43])/8 - 4*t[44] + 
       (5*t[45])/2 + t[46]/2 - 11*t[47] + t[48]/8 + (9*t[49])/2 - 
       (11*t[50])/8 - (31*t[51])/8 + (15*t[52])/8 - (9*t[53])/2 - 
       (9*t[54])/8 - t[58] + 2*t[59] - (91*t[60])/4 - (105*t[61])/2 + 
       (65*t[62])/2 + 44*t[63] + (27*t[64])/4 - (115*t[65])/3 + 
       (289*t[66])/6 + 4*t[70] - 4*t[71] - 4*t[72] + 2*t[74] - 3*t[78] + 
       13*t[80] - 2*t[81] + 5*t[82] + 3*t[83] - (21*t[84])/4 + (11*t[85])/4 - 
       (5*t[86])/2 + (7*t[87])/4 + (11*t[88])/8 - (65*t[89])/8 + 12*t[98] - 
       24*t[99] + 30*t[100]) + HPL[{0, 0, 1}, 1 - v]*Omega2[w, u, v]*
      ((-17*t[1])/4 + 10*t[2] + (61*t[3])/8 - (11*t[4])/4 - (13*t[5])/16 - 
       (61*t[6])/8 - (41*t[7])/8 - (357*t[8])/8 + (49*t[9])/16 - 12*t[10] - 
       (227*t[11])/8 + (63*t[12])/16 - (2135*t[13])/144 - (401*t[14])/24 - 
       (743*t[15])/96 - 2*t[18] + t[19] + 2*t[20] - 4*t[22] - 2*t[24] + 
       t[29] + t[30] + 2*t[31] - t[32] + (5*t[34])/2 - (3*t[38])/2 - t[39] - 
       (3*t[40])/2 + (7*t[41])/4 - (9*t[42])/4 + (21*t[43])/4 + 3*t[44] - 
       (45*t[45])/4 + t[46]/2 + (25*t[47])/2 - (15*t[48])/4 - t[49]/8 + 
       (5*t[50])/4 - (21*t[51])/16 + (9*t[52])/4 + t[53]/8 + (7*t[54])/2 - 
       t[58] + 2*t[59] - (91*t[60])/4 - (105*t[61])/2 + (65*t[62])/2 + 
       44*t[63] + (27*t[64])/4 - (115*t[65])/3 + (289*t[66])/6 + 4*t[70] - 
       4*t[71] - 4*t[72] + 2*t[74] - 3*t[78] + 13*t[80] - 2*t[81] + 5*t[82] + 
       3*t[83] - (21*t[84])/4 + (11*t[85])/4 - (5*t[86])/2 + (7*t[87])/4 + 
       (11*t[88])/8 - (65*t[89])/8 + 12*t[98] - 24*t[99] + 30*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((107*t[1])/72 - (143*t[2])/24 + (5467*t[3])/288 + (493*t[4])/96 + 
       (3541*t[5])/144 + (10321*t[6])/576 - (5825*t[7])/96 + (2057*t[8])/96 - 
       (11603*t[9])/144 + (439*t[10])/192 - (8629*t[11])/192 - 
       (18049*t[12])/576 + (43915*t[13])/5184 - (155747*t[14])/3456 + 
       (713*t[15])/288 + (3*t[16])/4 - t[17]/8 - (5*t[18])/9 - t[19] + 
       (77*t[20])/18 - (14*t[21])/9 + (26*t[22])/9 + (14*t[23])/9 - 
       (59*t[24])/18 + (3*t[25])/2 - (7*t[26])/4 - (47*t[27])/18 + t[28]/2 - 
       (167*t[29])/72 - (25*t[30])/12 + (11*t[31])/3 - (137*t[32])/36 + 
       (73*t[33])/12 - (247*t[34])/18 + (11*t[35])/2 + (19*t[36])/6 + 
       (3*t[37])/2 + (52*t[38])/9 - (55*t[39])/12 + (187*t[40])/24 - 
       (23*t[41])/9 + (41*t[42])/18 + (1103*t[43])/288 - (973*t[44])/144 + 
       (53*t[45])/144 - 6*t[46] - (85*t[47])/12 + (1991*t[48])/192 - 
       (5027*t[49])/576 - (7303*t[50])/576 + (13097*t[51])/1152 + 
       (4391*t[52])/576 + (5459*t[53])/576 + (13517*t[54])/576 - t[56]/4 - 
       t[57]/2 - t[58]/18 - (127*t[59])/48 - (2567*t[60])/144 - 
       (1231*t[61])/18 + (4529*t[62])/48 - (3517*t[63])/48 + 
       (3263*t[64])/48 + (841*t[65])/432 + (10363*t[66])/216 - t[67]/4 - 
       (5*t[68])/8 + (25*t[69])/6 + (34*t[70])/9 - (34*t[71])/9 - 
       (83*t[72])/18 - (13*t[73])/6 + (7*t[74])/3 + (20*t[75])/3 - 
       (329*t[76])/18 - (29*t[77])/9 + (673*t[78])/36 - 5*t[79] - 
       (545*t[80])/36 - (461*t[81])/72 - (341*t[82])/36 - (115*t[83])/36 + 
       (1121*t[84])/144 - (229*t[85])/9 + (173*t[86])/36 + (316*t[87])/9 + 
       (158*t[88])/9 + (4987*t[89])/144 + t[90]/8 - t[92]/4 + t[93] + 
       t[94]/4 - (121*t[97])/72 - (314*t[98])/3 + 135*t[99] + 30*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (8*t[1] - t[2]/6 - (77*t[3])/6 + (69*t[4])/4 - 36*t[5] - (147*t[6])/8 + 
       (229*t[7])/12 + (7*t[8])/4 + (112*t[9])/3 - (125*t[10])/12 - 
       (319*t[11])/6 + (37*t[12])/4 - (1657*t[13])/144 - (125*t[14])/9 - 
       (131*t[15])/12 + t[26] - 6*t[31] + 4*t[32] - 4*t[33] + 7*t[34] - 
       2*t[38] + 4*t[39] - 7*t[40] + (2*t[41])/3 - (2*t[42])/3 - 
       (31*t[43])/6 + (10*t[45])/3 - (8*t[46])/3 - (47*t[47])/3 - 
       (3*t[48])/4 + (5*t[49])/6 + (223*t[50])/12 - (11*t[51])/12 - 
       (115*t[52])/12 - (5*t[53])/6 - (23*t[54])/12 + t[58] - 5*t[59] - 
       (86*t[60])/3 - 146*t[61] + (227*t[62])/6 - (169*t[63])/6 + 17*t[64] - 
       (511*t[65])/18 + (713*t[66])/6 - (32*t[74])/3 + 8*t[79] - 
       (77*t[80])/3 - (20*t[81])/3 + (20*t[82])/3 + (32*t[83])/3 - 
       (16*t[84])/3 - (50*t[85])/3 + (46*t[86])/3 + (82*t[87])/3 + 
       (41*t[88])/3 + 15*t[89] + 32*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*(t[1]/6 + t[2]/3 - 
       (125*t[3])/12 + (1145*t[4])/24 + t[5]/4 + (929*t[6])/24 + 
       (95*t[7])/12 + (121*t[8])/12 + (487*t[9])/12 - (279*t[10])/16 + 
       (79*t[11])/3 - (449*t[12])/48 + (4715*t[13])/432 + (12539*t[14])/288 + 
       (103*t[15])/144 + (25*t[25])/3 - (23*t[26])/3 - (22*t[27])/3 + 
       4*t[29] - 4*t[30] + 2*t[31] + 2*t[32] - 2*t[33] + t[34]/3 + 2*t[35] - 
       3*t[36] + (5*t[37])/3 - t[38]/3 + (4*t[39])/3 - (4*t[40])/3 - 
       t[41]/3 + t[42]/3 - 4*t[43] + 4*t[44] - (17*t[45])/6 + (3*t[46])/2 + 
       (35*t[47])/3 + (97*t[48])/6 - (71*t[49])/48 - (37*t[50])/6 - 
       (141*t[51])/32 + (13*t[52])/2 - (521*t[53])/48 - (81*t[54])/8 + 
       t[58] - t[59] + (1047*t[60])/8 + (903*t[61])/8 + (731*t[62])/48 + 
       (47*t[63])/16 - (2161*t[64])/16 + (365*t[65])/24 - (277*t[66])/24 + 
       t[67]/3 - (2*t[68])/3 + (8*t[70])/3 - (8*t[71])/3 - 8*t[72] - 
       2*t[73] + (4*t[74])/3 + 17*t[75] - (67*t[76])/3 + (4*t[77])/3 + 
       34*t[78] - 4*t[79] - (56*t[80])/3 + (2*t[81])/3 - 12*t[82] - 
       (149*t[83])/3 + (611*t[84])/24 + (29*t[85])/8 - (323*t[86])/3 - 
       (937*t[87])/24 - (217*t[88])/48 + (1121*t[89])/48 - t[90]/3 - 
       2*t[95] - (26*t[96])/3 - (2*t[97])/3 - 112*t[98] + 100*t[99] + 
       35*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-7*t[1])/8 - (17*t[2])/2 + (151*t[3])/72 + 
       (449*t[4])/18 - (283*t[5])/16 - (1237*t[6])/144 - (841*t[7])/48 - 
       (2239*t[8])/144 + (325*t[9])/144 + (881*t[10])/48 - (3559*t[11])/144 + 
       (247*t[12])/48 - (22013*t[13])/1296 - (8221*t[14])/864 - 
       (3527*t[15])/288 - t[19] - t[21]/2 + t[23]/2 - t[28] + t[30] + 
       t[31]/3 + 2*t[35] + 2*t[37] - t[39] + t[40]/2 + t[41]/4 - t[42]/4 - 
       (451*t[43])/72 - (3*t[45])/2 - (37*t[46])/24 + t[47] + (3*t[48])/16 + 
       (281*t[49])/72 - (257*t[50])/144 - (517*t[51])/288 + (257*t[52])/144 - 
       (281*t[53])/72 + (61*t[54])/144 + (211*t[59])/72 + (161*t[60])/72 - 
       (3193*t[61])/72 + (6749*t[62])/144 + (1381*t[63])/48 - 
       (6055*t[64])/144 - (2287*t[65])/216 + (11269*t[66])/216 + 
       (5*t[69])/2 - t[70] + t[71] - (3*t[72])/2 - (37*t[74])/12 + t[75] - 
       t[77]/2 - (13*t[79])/12 - (131*t[80])/6 - t[81]/3 + (7*t[82])/3 + 
       (11*t[83])/36 - (25*t[84])/8 + (71*t[85])/24 - (1849*t[86])/36 - 
       (439*t[87])/72 - (439*t[88])/144 - (43*t[89])/48 - 4*t[99] + 
       (211*t[100])/6) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-67*t[1])/72 - (130*t[2])/9 - (553*t[3])/576 + 
       (1847*t[4])/144 + (4687*t[5])/1152 + (5407*t[6])/144 - 
       (4459*t[7])/96 + (43*t[8])/12 - (61705*t[9])/1152 - (779*t[10])/288 - 
       (18211*t[11])/576 - (17731*t[12])/1152 - (39035*t[13])/1728 - 
       (79529*t[14])/3456 - (3335*t[15])/2304 - (19*t[18])/18 - 2*t[19] + 
       (19*t[20])/18 - (55*t[21])/18 + (19*t[22])/9 + (55*t[23])/18 - 
       (17*t[24])/9 + (28*t[25])/9 - (5*t[26])/9 - 2*t[28] + (85*t[29])/36 + 
       (55*t[30])/12 + (5*t[31])/9 + (37*t[32])/18 - t[33] - (227*t[34])/36 + 
       4*t[35] + (41*t[36])/12 + 4*t[37] - (17*t[38])/36 - t[39] - 
       (91*t[40])/36 - (61*t[41])/72 + (23*t[42])/72 + (245*t[43])/64 - 
       (127*t[44])/36 + (11*t[45])/18 - (77*t[46])/72 - (22*t[47])/3 + 
       (3773*t[48])/288 - (839*t[49])/288 - (2195*t[50])/288 - 
       (587*t[51])/576 + (1225*t[52])/96 + (839*t[53])/288 + (563*t[54])/96 - 
       t[58]/36 - (137*t[59])/36 - (117*t[60])/8 - (7327*t[61])/96 + 
       (69157*t[62])/576 - (1607*t[63])/192 + (32995*t[64])/576 - 
       (11015*t[65])/288 + (15437*t[66])/288 + (13*t[69])/6 + (5*t[70])/18 - 
       (5*t[71])/18 - (55*t[72])/9 + (26*t[73])/3 - t[74]/2 - (20*t[75])/3 - 
       (379*t[76])/36 - (227*t[77])/36 + (193*t[78])/36 + (10*t[79])/3 - 
       (4975*t[80])/72 - (53*t[81])/18 - (127*t[82])/18 - (37*t[83])/3 - 
       (83*t[84])/72 - (287*t[85])/72 - (799*t[86])/16 + (431*t[87])/24 + 
       (431*t[88])/48 + (4381*t[89])/144 - (14*t[97])/9 - (137*t[98])/3 + 
       44*t[99] + (106*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-3*t[1])/2 + 7*t[2] - 2*t[3] - 13*t[4] - 
       (41*t[5])/4 - (71*t[6])/4 + (75*t[7])/2 - (85*t[8])/2 + (201*t[9])/4 - 
       (61*t[10])/2 + (63*t[11])/4 + (63*t[12])/4 + (31*t[13])/9 + 
       (7*t[14])/6 - (251*t[15])/24 - 8*t[22] + 2*t[30] - 2*t[32] + 9*t[34] - 
       2*t[38] - 2*t[39] - 3*t[40] + (7*t[41])/2 - (7*t[42])/2 + 7*t[43] + 
       6*t[44] - 19*t[45] + 26*t[47] - (27*t[48])/4 - t[49] + (29*t[50])/4 - 
       (25*t[52])/4 + t[53] + (3*t[54])/4 + 4*t[59] - t[60]/2 + (3*t[61])/2 - 
       20*t[62] + 28*t[63] + (167*t[64])/4 + (11*t[65])/3 - (67*t[66])/2 - 
       6*t[72] + 7*t[76] + 4*t[77] - 4*t[78] + 50*t[80] + 3*t[81] + 4*t[82] + 
       6*t[83] - 2*t[84] + 9*t[85] + 18*t[86] - 9*t[87] - (7*t[88])/2 + 
       (25*t[89])/4 + 48*t[98] - 48*t[99] + 36*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*((-3*t[1])/2 + 7*t[2] - 
       2*t[3] - 13*t[4] - (41*t[5])/4 - (71*t[6])/4 + (75*t[7])/2 - 
       (85*t[8])/2 + (201*t[9])/4 - (61*t[10])/2 + (63*t[11])/4 + 
       (63*t[12])/4 + (31*t[13])/9 + (7*t[14])/6 - (251*t[15])/24 - 8*t[22] + 
       2*t[30] - 2*t[32] + 9*t[34] - 2*t[38] - 2*t[39] - 3*t[40] + 
       (7*t[41])/2 - (7*t[42])/2 + 7*t[43] + 6*t[44] - 19*t[45] + 26*t[47] - 
       (27*t[48])/4 - t[49] + (29*t[50])/4 - (25*t[52])/4 + t[53] + 
       (3*t[54])/4 + 4*t[59] - t[60]/2 + (3*t[61])/2 - 20*t[62] + 28*t[63] + 
       (167*t[64])/4 + (11*t[65])/3 - (67*t[66])/2 - 6*t[72] + 7*t[76] + 
       4*t[77] - 4*t[78] + 50*t[80] + 3*t[81] + 4*t[82] + 6*t[83] - 2*t[84] + 
       9*t[85] + 18*t[86] - 9*t[87] - (7*t[88])/2 + (25*t[89])/4 + 48*t[98] - 
       48*t[99] + 36*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((5*t[1])/2 - t[2] + t[3]/2 - (39*t[4])/2 + 
       40*t[5] - (29*t[6])/4 - (13*t[7])/2 + (19*t[8])/2 - (61*t[9])/2 - 
       (7*t[10])/4 + (17*t[11])/4 - (71*t[12])/4 + (397*t[13])/36 - 
       (7*t[14])/8 + (59*t[15])/6 - t[26] + 2*t[30] + t[34] - 2*t[39] + 
       t[40] - t[41]/2 + t[42]/2 + (23*t[43])/2 - 6*t[44] - 4*t[45] + 
       8*t[47] - (7*t[48])/4 + (21*t[49])/4 - (15*t[50])/4 - (25*t[51])/8 + 
       (3*t[52])/4 - (21*t[53])/4 + (5*t[54])/4 - t[58] + 4*t[59] - t[60]/2 + 
       (3*t[61])/2 - 20*t[62] + 28*t[63] + (167*t[64])/4 + (11*t[65])/3 - 
       (67*t[66])/2 - 6*t[72] + 7*t[76] + 4*t[77] - 4*t[78] + 50*t[80] + 
       3*t[81] + 4*t[82] + 6*t[83] - 2*t[84] + 9*t[85] + 18*t[86] - 9*t[87] - 
       (7*t[88])/2 + (25*t[89])/4 + 48*t[98] - 48*t[99] + 36*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*((5*t[1])/2 - t[2] + 
       t[3]/2 - (39*t[4])/2 + 40*t[5] - (29*t[6])/4 - (13*t[7])/2 + 
       (19*t[8])/2 - (61*t[9])/2 - (7*t[10])/4 + (17*t[11])/4 - 
       (71*t[12])/4 + (397*t[13])/36 - (7*t[14])/8 + (59*t[15])/6 - t[26] + 
       2*t[30] + t[34] - 2*t[39] + t[40] - t[41]/2 + t[42]/2 + (23*t[43])/2 - 
       6*t[44] - 4*t[45] + 8*t[47] - (7*t[48])/4 + (21*t[49])/4 - 
       (15*t[50])/4 - (25*t[51])/8 + (3*t[52])/4 - (21*t[53])/4 + 
       (5*t[54])/4 - t[58] + 4*t[59] - t[60]/2 + (3*t[61])/2 - 20*t[62] + 
       28*t[63] + (167*t[64])/4 + (11*t[65])/3 - (67*t[66])/2 - 6*t[72] + 
       7*t[76] + 4*t[77] - 4*t[78] + 50*t[80] + 3*t[81] + 4*t[82] + 6*t[83] - 
       2*t[84] + 9*t[85] + 18*t[86] - 9*t[87] - (7*t[88])/2 + (25*t[89])/4 + 
       48*t[98] - 48*t[99] + 36*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((-31*t[1])/24 - (5*t[2])/48 + 
       (199*t[3])/96 - (575*t[4])/48 + (4435*t[5])/192 - (457*t[6])/96 - 
       (473*t[7])/48 - (113*t[8])/48 - (5593*t[9])/192 + (445*t[10])/32 - 
       (103*t[11])/12 - (579*t[12])/64 - (85*t[13])/864 - (331*t[14])/36 + 
       (24425*t[15])/3456 - t[18]/6 - t[19]/2 + t[20]/3 - (2*t[21])/3 + 
       (2*t[23])/3 + (2*t[24])/3 - (5*t[25])/6 + (7*t[26])/12 + (5*t[27])/6 + 
       t[29] + (17*t[30])/12 + t[31]/3 - t[32] + (11*t[33])/6 + t[34]/3 - 
       t[38]/3 - (11*t[39])/6 + (3*t[40])/2 + (3*t[41])/8 - (11*t[42])/24 + 
       (521*t[43])/96 - (13*t[44])/12 + (107*t[45])/48 + (13*t[46])/24 - 
       (187*t[47])/24 - (125*t[48])/96 + (73*t[49])/32 - (149*t[50])/96 - 
       (265*t[51])/192 + (7*t[52])/32 - (73*t[53])/32 + (23*t[54])/96 - 
       t[58]/3 + (7*t[59])/4 - (167*t[60])/24 - (1103*t[61])/48 + 
       (27*t[62])/4 + (419*t[63])/24 + (281*t[64])/48 - (959*t[65])/144 + 
       (219*t[66])/16 + (5*t[69])/6 + (7*t[70])/6 - (7*t[71])/6 - 
       (3*t[72])/2 - (7*t[73])/4 + (3*t[74])/4 + (7*t[75])/4 + 2*t[76] + 
       (13*t[77])/6 - (11*t[78])/4 + (38*t[80])/3 - (5*t[81])/4 + 
       (37*t[82])/6 + (25*t[83])/6 - (23*t[84])/8 + (65*t[85])/24 - 
       (8*t[86])/3 - t[87]/8 + (7*t[88])/16 + (7*t[89])/4 + 11*t[98] - 
       22*t[99] + 36*t[100]) + HPL[{0, 1}, 1 - v]*M1[u, v, w]*
      ((31*t[1])/12 - (43*t[2])/12 + (79*t[3])/48 + (21*t[4])/8 + 
       (175*t[5])/96 - t[6]/8 - (221*t[7])/16 + (341*t[8])/48 - 
       (1655*t[9])/96 - (29*t[10])/6 - (151*t[11])/24 - (949*t[12])/96 - 
       (6829*t[13])/864 - (659*t[14])/48 + (643*t[15])/192 - (2*t[18])/3 - 
       t[19] - t[20]/3 - (2*t[21])/3 + (4*t[22])/3 + (2*t[23])/3 - 
       (8*t[24])/3 + t[25]/3 + t[26]/3 + t[27] + t[29]/3 - (4*t[31])/3 + 
       (2*t[32])/3 - t[33] - (8*t[34])/3 + t[36] + (5*t[38])/6 + t[39] - 
       t[40]/3 - (11*t[41])/12 + (13*t[42])/12 + (4*t[43])/3 + t[44]/6 + 
       (71*t[45])/24 + (29*t[46])/12 - (29*t[47])/4 + (199*t[48])/48 - 
       (61*t[49])/16 - (11*t[50])/16 + (25*t[51])/96 + (65*t[52])/48 + 
       (61*t[53])/16 - (65*t[54])/48 + t[58]/6 - (3*t[59])/2 - (79*t[60])/6 - 
       (1177*t[61])/24 + (563*t[62])/16 - (579*t[63])/16 + (401*t[64])/16 + 
       (401*t[65])/72 + (2485*t[66])/72 - (2*t[70])/3 + (2*t[71])/3 - 
       (4*t[72])/3 + 2*t[73] + 2*t[74] - 2*t[75] - (10*t[76])/3 - 
       (5*t[77])/3 + (4*t[78])/3 - (19*t[80])/6 - (10*t[81])/3 - 
       (2*t[82])/3 - (4*t[83])/3 - t[84]/3 - (16*t[85])/3 + (5*t[86])/12 + 
       (49*t[87])/3 + (49*t[88])/6 + (175*t[89])/12 - (2*t[97])/3 - 
       20*t[98] + 18*t[99] + 36*t[100]) + HPL[{0, 1}, 1 - w]*M1[u, v, w]*
      ((-11*t[1])/12 + t[2]/4 + (329*t[3])/48 + (27*t[4])/8 + (317*t[5])/96 + 
       (139*t[6])/48 - (25*t[7])/2 + (7*t[8])/8 - (1435*t[9])/96 - 
       (199*t[10])/16 - (35*t[11])/2 - (335*t[12])/96 - (959*t[13])/432 - 
       (3445*t[14])/144 - (3463*t[15])/576 + (4*t[18])/3 + t[19] + t[20]/3 + 
       (4*t[21])/3 + (2*t[22])/3 - (4*t[23])/3 + (8*t[24])/3 - t[25] + 
       t[26] - t[27]/3 - t[29]/3 + t[31] - (2*t[32])/3 + t[33] - 
       (8*t[34])/3 + t[36] + (5*t[38])/6 - t[39] + t[40] + (7*t[41])/12 - 
       (5*t[42])/12 - (23*t[43])/48 + t[44]/6 - (4*t[45])/3 + t[46]/4 + 
       2*t[47] + (43*t[48])/16 - (149*t[49])/48 - (7*t[50])/48 + 
       (179*t[51])/96 - (25*t[52])/48 + (149*t[53])/48 + (113*t[54])/48 + 
       (5*t[58])/6 - (3*t[59])/2 - (79*t[60])/6 - (1177*t[61])/24 + 
       (563*t[62])/16 - (579*t[63])/16 + (401*t[64])/16 + (401*t[65])/72 + 
       (2485*t[66])/72 - (2*t[70])/3 + (2*t[71])/3 - (4*t[72])/3 + 2*t[73] + 
       2*t[74] - 2*t[75] - (10*t[76])/3 - (5*t[77])/3 + (4*t[78])/3 - 
       (19*t[80])/6 - (10*t[81])/3 - (2*t[82])/3 - (4*t[83])/3 - t[84]/3 - 
       (16*t[85])/3 + (5*t[86])/12 + (49*t[87])/3 + (49*t[88])/6 + 
       (175*t[89])/12 - (2*t[97])/3 - 20*t[98] + 18*t[99] + 36*t[100]) + 
     HPL[{0, 1}, 1 - v]*M1[w, u, v]*(-t[1]/2 + (3*t[2])/4 + (47*t[3])/16 + 
       t[4]/8 + (107*t[5])/32 + 5*t[6] - (357*t[7])/16 + (243*t[8])/16 - 
       (919*t[9])/32 + (17*t[10])/4 - (111*t[11])/8 - (149*t[12])/32 - 
       (2723*t[13])/288 - (43*t[14])/3 + (1915*t[15])/576 - t[18] - t[21] + 
       3*t[22] + t[23] - 2*t[24] + t[25] + t[26]/2 + t[27] + t[29] + t[30] - 
       t[31] + t[32] - t[33] - (11*t[34])/2 + t[36] + t[39] - t[40]/2 - 
       t[42]/2 + (7*t[43])/8 - t[44]/2 + (29*t[45])/8 + (7*t[46])/4 - 
       (19*t[47])/4 + (91*t[48])/16 - (69*t[49])/16 - (29*t[50])/16 + 
       (11*t[51])/32 + (69*t[52])/16 + (69*t[53])/16 + (7*t[54])/16 - 
       t[59]/2 - 29*t[60] - (325*t[61])/8 + (523*t[62])/16 - (371*t[63])/16 + 
       (463*t[64])/16 - (83*t[65])/8 + (973*t[66])/24 - t[72] + 2*t[73] + 
       2*t[74] - 2*t[75] - (17*t[76])/2 - t[77] + 3*t[78] - (25*t[80])/2 - 
       (11*t[81])/2 - 3*t[82] - 2*t[83] - (7*t[84])/4 - (39*t[85])/4 - 
       (7*t[86])/4 + (109*t[87])/4 + (109*t[88])/8 + (15*t[89])/2 - t[97] - 
       48*t[98] + 42*t[99] + 36*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((67*t[1])/12 - (27*t[2])/4 - (33*t[3])/16 + (647*t[4])/24 - 
       (2491*t[5])/96 + (395*t[6])/12 - (265*t[7])/8 + (197*t[8])/24 + 
       (253*t[9])/96 - (2621*t[10])/48 - (3773*t[11])/48 - (1247*t[12])/96 - 
       (2425*t[13])/48 - (163*t[14])/4 - (14779*t[15])/576 - (7*t[18])/3 + 
       t[19] - (10*t[20])/3 - (4*t[21])/3 + (13*t[22])/3 + (4*t[23])/3 - 
       (17*t[24])/3 + t[25] - (23*t[27])/3 + t[28] + t[29]/3 - 4*t[30] - 
       (5*t[31])/6 - (4*t[32])/3 - 2*t[33] - (43*t[34])/3 + 2*t[35] + 
       3*t[36] + 4*t[37] + (7*t[38])/6 + 3*t[39] + t[40]/2 - (7*t[41])/4 + 
       (7*t[42])/12 - (87*t[43])/16 - (13*t[44])/6 - (33*t[45])/8 + t[46]/3 + 
       (101*t[47])/12 + (187*t[48])/6 - (535*t[49])/48 + (199*t[51])/96 + 
       (23*t[52])/3 + (535*t[53])/48 + (523*t[54])/24 + (19*t[58])/6 - 
       (23*t[59])/12 - (189*t[60])/4 - (2425*t[61])/24 + (7933*t[62])/48 - 
       (2069*t[63])/48 + (6283*t[64])/48 - (959*t[65])/24 + 
       (13657*t[66])/72 + 2*t[69] + (14*t[70])/3 - (14*t[71])/3 - 
       (14*t[72])/3 + 6*t[73] + 6*t[74] - (157*t[76])/6 - (17*t[77])/6 + 
       (50*t[78])/3 + (28*t[79])/3 - (199*t[80])/3 - (33*t[81])/2 - 
       (19*t[82])/2 - (113*t[83])/3 + (83*t[84])/6 - 40*t[85] - 
       (893*t[86])/12 + (113*t[87])/2 + (113*t[88])/4 + (329*t[89])/8 - 
       (23*t[97])/6 - 148*t[98] + 152*t[99] + 36*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-73*t[1])/72 - (5*t[2])/6 + (727*t[3])/72 + (913*t[4])/144 - 
       (85*t[5])/12 - (2951*t[6])/288 - (303*t[7])/16 - (863*t[8])/72 - 
       (529*t[9])/72 + (59*t[10])/16 - (737*t[11])/18 - (95*t[12])/16 - 
       (127979*t[13])/5184 - (20539*t[14])/864 - (2639*t[15])/288 - 
       (4*t[18])/3 - t[19]/2 - t[20] - (11*t[21])/6 + t[22] + (11*t[23])/6 - 
       2*t[24] - (2*t[25])/3 + t[26]/3 - t[27]/3 - t[28]/2 + (3*t[29])/4 - 
       t[30] - t[31] - t[33] - (17*t[34])/6 + (13*t[35])/6 + (3*t[36])/4 + 
       (11*t[37])/6 + t[38]/6 + t[39]/2 + t[40]/6 - (11*t[41])/6 + 
       (7*t[42])/6 - (187*t[43])/72 + t[44]/3 - (9*t[45])/16 + 
       (19*t[46])/12 - (21*t[47])/8 + (103*t[48])/48 + (19*t[49])/144 + 
       t[50]/144 - (529*t[51])/288 + (215*t[52])/144 - (19*t[53])/144 - 
       (47*t[54])/144 + (89*t[59])/72 - (1705*t[60])/72 - (6397*t[61])/72 + 
       (12847*t[62])/288 + (49*t[63])/32 - (59*t[64])/288 - (1057*t[65])/54 + 
       (9617*t[66])/108 - t[67]/12 + t[69] + (13*t[70])/6 - (13*t[71])/6 - 
       (5*t[72])/3 + (7*t[73])/4 + (7*t[74])/3 - (5*t[75])/4 - 
       (29*t[76])/12 - t[77]/3 - (7*t[78])/12 + (5*t[79])/12 - 
       (227*t[80])/12 - (17*t[81])/4 + (7*t[82])/4 - (43*t[83])/36 - 
       (79*t[84])/24 - (19*t[85])/12 - (221*t[86])/72 + (161*t[87])/18 + 
       (161*t[88])/36 - (115*t[89])/24 - t[97]/3 - 7*t[98] + t[99] + 
       (113*t[100])/3) + HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - w]*
      ((11*t[1])/16 - (117*t[2])/16 + (253*t[3])/16 + (449*t[4])/16 - 
       (273*t[5])/32 - (497*t[6])/16 - (207*t[7])/4 - (169*t[8])/8 - 
       (1109*t[9])/32 + (807*t[10])/32 - (49*t[11])/2 - (105*t[12])/16 - 
       (2231*t[13])/288 - (7033*t[14])/192 - (725*t[15])/64 - (3*t[26])/8 - 
       (15*t[32])/4 + (15*t[33])/4 - (93*t[34])/8 + 3*t[38] - (15*t[39])/4 + 
       9*t[40] + (3*t[41])/16 - (3*t[42])/16 - (109*t[43])/16 + 
       (45*t[45])/4 - (51*t[47])/4 + (33*t[48])/16 + (25*t[49])/32 - 
       (139*t[50])/16 + (143*t[51])/64 + (13*t[52])/16 - (25*t[53])/32 - 
       (19*t[54])/4 - (3*t[58])/8 - (31*t[59])/16 - (223*t[60])/16 - 
       (1081*t[61])/16 + (1967*t[62])/32 - (723*t[63])/32 - (1585*t[64])/32 + 
       (89*t[65])/48 + (2917*t[66])/48 - (63*t[76])/8 - (9*t[77])/4 + 
       (9*t[78])/2 - (21*t[80])/4 - (27*t[81])/8 - (9*t[82])/8 + t[83] + 
       (3*t[84])/16 - (93*t[85])/16 - (109*t[86])/2 + (269*t[87])/16 + 
       (269*t[88])/32 + (273*t[89])/32 - (9*t[97])/8 - 54*t[98] + 54*t[99] + 
       39*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((209*t[1])/36 - (227*t[2])/36 + (577*t[3])/288 - (113*t[4])/24 + 
       (16597*t[5])/576 - (157*t[6])/48 - (889*t[7])/16 + (919*t[8])/36 - 
       (48311*t[9])/576 - (157*t[10])/72 - (8369*t[11])/288 - 
       (26269*t[12])/576 - (844*t[13])/81 - (14947*t[14])/576 + 
       (2995*t[15])/128 - (4*t[18])/9 + (4*t[20])/9 - (4*t[21])/9 + 
       (62*t[22])/9 + (4*t[23])/9 - (37*t[24])/9 + (17*t[25])/9 - 
       (17*t[26])/18 + t[27] - (11*t[29])/18 + (7*t[30])/6 - (79*t[31])/18 - 
       (5*t[32])/9 + 2*t[33] - (197*t[34])/18 + (17*t[36])/6 + (20*t[38])/9 - 
       2*t[39] + (77*t[40])/18 - (41*t[41])/18 + (37*t[42])/18 + 
       (1147*t[43])/288 - (2*t[44])/9 + (865*t[45])/72 + (121*t[46])/36 - 
       (335*t[47])/12 + (1583*t[48])/144 - (37*t[49])/12 - (89*t[50])/16 + 
       (151*t[51])/144 + (889*t[52])/144 + (37*t[53])/12 + (161*t[54])/144 - 
       (13*t[58])/18 - (15*t[59])/4 - (3437*t[60])/72 - (15811*t[61])/144 + 
       (8369*t[62])/96 - (6217*t[63])/96 + (1345*t[64])/32 - 
       (1399*t[65])/432 + (39469*t[66])/432 - (11*t[69])/3 - (25*t[70])/9 + 
       (25*t[71])/9 - (17*t[72])/9 + (10*t[73])/3 + (41*t[74])/6 - 
       (13*t[75])/3 - (157*t[76])/18 - (89*t[77])/18 + (79*t[78])/18 - 
       2*t[79] - (403*t[80])/36 - (251*t[81])/36 - (217*t[82])/36 + 
       (16*t[83])/9 - (13*t[84])/18 - (1213*t[85])/72 + (413*t[86])/72 + 
       (3133*t[87])/72 + (2989*t[88])/144 + (2039*t[89])/144 - (13*t[97])/9 - 
       (142*t[98])/3 + 52*t[99] + 40*t[100]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((15*t[1])/4 + (17*t[2])/12 + (53*t[3])/6 + (11*t[4])/8 + (39*t[5])/2 + 
       (217*t[6])/16 - (257*t[7])/6 - (23*t[8])/4 - (1391*t[9])/24 - 
       (55*t[10])/12 - (241*t[11])/12 - (167*t[12])/8 - (2617*t[13])/288 - 
       (623*t[14])/18 + (467*t[15])/48 + t[26] + 3*t[31] - 9*t[34] + 
       2*t[38] - t[40] + (13*t[41])/12 - (13*t[42])/12 + (199*t[43])/24 - 
       (43*t[45])/12 + (19*t[46])/6 - (23*t[47])/6 + (71*t[48])/8 - 
       (71*t[49])/6 - (59*t[50])/24 + (97*t[51])/24 + (83*t[52])/24 + 
       (71*t[53])/6 + (91*t[54])/24 + t[58] + (3*t[59])/2 - (149*t[60])/6 - 
       50*t[61] + (1379*t[62])/12 - (817*t[63])/12 - 12*t[64] + 
       (29*t[65])/36 + (613*t[66])/12 + (38*t[74])/3 - 14*t[76] - 2*t[77] + 
       8*t[78] - 4*t[79] + (37*t[80])/6 - (19*t[81])/3 - (5*t[82])/3 - 
       (8*t[83])/3 + (7*t[84])/3 - (65*t[85])/6 - (226*t[86])/3 + 
       (193*t[87])/6 + (193*t[88])/12 + (77*t[89])/4 - 2*t[97] - 96*t[98] + 
       96*t[99] + 40*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*(2*t[1] + (511*t[2])/72 - 
       (201*t[3])/16 + (7*t[4])/12 - (1895*t[5])/96 - (1523*t[6])/288 + 
       (1841*t[7])/48 - (1097*t[8])/48 + (1381*t[9])/32 + (289*t[10])/8 - 
       (605*t[11])/32 - (61*t[12])/32 - (25139*t[13])/864 + 
       (8249*t[14])/288 + (4013*t[15])/576 - (5*t[17])/12 - (7*t[18])/6 - 
       (5*t[19])/2 + t[20]/6 + t[21]/2 + 2*t[22] - t[23]/6 - (7*t[24])/3 - 
       (2*t[25])/3 + (7*t[26])/6 - t[27] - 2*t[28] + (11*t[29])/3 - 
       (8*t[30])/3 + (5*t[31])/3 + (9*t[32])/2 + (5*t[33])/6 - (21*t[34])/2 - 
       6*t[35] + t[36]/2 + (2*t[37])/3 + (11*t[38])/6 - (5*t[39])/3 + 
       (77*t[40])/12 - (3*t[41])/4 - (35*t[42])/36 - (43*t[43])/6 + 
       (25*t[44])/4 + (137*t[45])/8 - (25*t[46])/12 - (38*t[47])/3 - 
       (665*t[48])/96 + (73*t[49])/48 + (1351*t[50])/96 + (149*t[51])/96 - 
       (1831*t[52])/96 - (73*t[53])/48 - (571*t[54])/96 - t[58]/6 + 
       (7*t[59])/24 + (479*t[60])/16 + (349*t[61])/16 - (331*t[62])/96 + 
       (1243*t[63])/96 - (5939*t[64])/32 - (4145*t[65])/144 + 
       (6821*t[66])/144 - (2*t[68])/3 - 2*t[69] + (7*t[70])/3 - (7*t[71])/3 - 
       (25*t[72])/6 - t[73] + (23*t[74])/6 - (11*t[75])/2 - (145*t[76])/12 + 
       (3*t[77])/4 + (101*t[78])/12 - (11*t[79])/4 - (191*t[80])/6 - 
       (59*t[81])/6 - (67*t[82])/12 - 9*t[83] + (367*t[84])/48 - 
       (111*t[85])/16 - (157*t[86])/6 - (111*t[87])/16 + (307*t[88])/96 - 
       (535*t[89])/32 - (10*t[95])/3 - (4*t[96])/3 - t[97]/4 - 90*t[98] + 
       89*t[99] + 42*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((251*t[1])/72 + (365*t[2])/24 + 
       (281*t[3])/24 + (2501*t[4])/48 - (481*t[5])/96 + (907*t[6])/48 - 
       (17*t[7])/2 + (529*t[8])/24 - (1459*t[9])/96 + (4559*t[10])/96 + 
       (17*t[11])/8 - (39*t[12])/2 - (1357*t[13])/216 + (9659*t[14])/576 - 
       (265*t[15])/576 - t[16]/6 - t[18]/2 + (3*t[19])/2 + t[20]/3 + t[21] + 
       t[22] - t[23] - t[24] - (7*t[25])/6 - t[26]/12 + t[27]/6 + 2*t[28] + 
       (41*t[29])/12 + t[30] - t[31]/6 + (5*t[32])/3 - (4*t[33])/3 - 
       (17*t[34])/4 - (13*t[35])/2 - (3*t[36])/2 - (31*t[37])/6 + 
       (17*t[38])/6 + t[39]/2 - (7*t[40])/3 + (9*t[41])/8 - (11*t[42])/8 - 
       (123*t[43])/16 - (17*t[44])/6 + (85*t[45])/12 - (19*t[46])/6 - 
       (31*t[47])/2 + (91*t[48])/16 + (937*t[49])/96 + (509*t[50])/48 - 
       (583*t[51])/64 - (265*t[52])/48 - (515*t[53])/32 - (69*t[54])/4 + 
       (3*t[58])/4 + (7*t[59])/24 + (479*t[60])/16 + (349*t[61])/16 - 
       (331*t[62])/96 + (1243*t[63])/96 - (5939*t[64])/32 - 
       (4145*t[65])/144 + (6821*t[66])/144 - (2*t[68])/3 - 2*t[69] + 
       (7*t[70])/3 - (7*t[71])/3 - (25*t[72])/6 - t[73] + (23*t[74])/6 - 
       (11*t[75])/2 - (145*t[76])/12 + (3*t[77])/4 + (101*t[78])/12 - 
       (11*t[79])/4 - (191*t[80])/6 - (59*t[81])/6 - (67*t[82])/12 - 
       9*t[83] + (367*t[84])/48 - (111*t[85])/16 - (157*t[86])/6 - 
       (111*t[87])/16 + (307*t[88])/96 - (535*t[89])/32 - (10*t[95])/3 - 
       (4*t[96])/3 - t[97]/4 - 90*t[98] + 89*t[99] + 42*t[100]) + 
     HPL[{1}, 1 - w]^2*Qep[u, v, w]*((76*t[2])/9 + (4*t[3])/9 - 
       (284*t[4])/9 + (196*t[5])/9 - 28*t[6] - 20*t[7] + (592*t[8])/9 - 
       (122*t[9])/3 + (890*t[10])/9 - (436*t[11])/9 - 6*t[12] + 
       (922*t[13])/81 - (23*t[14])/9 + (842*t[15])/27 + (32*t[23])/9 + 
       (32*t[24])/9 + (32*t[31])/9 - (56*t[41])/9 + (80*t[42])/9 - 20*t[43] + 
       (460*t[45])/9 - (680*t[47])/9 - (8*t[48])/9 - (26*t[49])/9 - 
       (40*t[50])/9 + (13*t[51])/9 + (40*t[52])/9 + (26*t[53])/9 + 
       (20*t[54])/3 - (80*t[59])/9 - (308*t[60])/9 - (1040*t[61])/9 + 
       (92*t[62])/9 - 36*t[63] - (460*t[64])/9 + (568*t[65])/27 + 
       (1112*t[66])/27 + 16*t[79] - (208*t[80])/3 - (8*t[81])/3 + 
       (8*t[82])/3 + (32*t[83])/9 - (16*t[84])/3 - 4*t[85] + (248*t[86])/9 + 
       (100*t[87])/9 + (50*t[88])/9 - 34*t[89] + (128*t[100])/3) + 
     HPL[{1}, 1 - w]^2*Qep[w, v, u]*((-44*t[2])/9 - (332*t[3])/9 - 
       (476*t[4])/9 - (332*t[5])/9 - (116*t[6])/9 + (332*t[7])/3 + 
       (712*t[8])/9 + 122*t[9] + (50*t[10])/9 + (452*t[11])/9 + 
       (166*t[12])/3 + (1882*t[13])/81 + (305*t[14])/9 - (442*t[15])/27 - 
       (32*t[18])/9 - (64*t[23])/9 - (64*t[24])/9 - (64*t[31])/9 - 
       (8*t[41])/9 - (128*t[42])/9 - (124*t[43])/3 + (412*t[45])/9 - 
       (8*t[47])/9 - (80*t[48])/9 - (26*t[49])/9 + (176*t[50])/9 + 
       (13*t[51])/9 - (176*t[52])/9 + (26*t[53])/9 - (20*t[54])/3 + 
       (128*t[59])/9 + (28*t[60])/9 - (320*t[61])/9 - (1732*t[62])/9 - 
       (332*t[63])/3 + (1316*t[64])/9 + (1576*t[65])/27 + (200*t[66])/27 - 
       (32*t[74])/3 + (80*t[79])/3 + (208*t[80])/3 - (8*t[81])/3 + 
       (8*t[82])/3 + (128*t[83])/9 - (28*t[85])/3 + (2168*t[86])/9 - 
       (44*t[87])/9 - (22*t[88])/9 - (94*t[89])/3 + (128*t[100])/3) + 
     HPL[{1}, 1 - v]^2*Qep[w, v, u]*((-8*t[1])/3 + (296*t[3])/9 - 
       (488*t[4])/9 + 72*t[5] - (604*t[6])/9 + (152*t[7])/3 + (536*t[8])/9 - 
       (344*t[9])/9 - (232*t[10])/3 + (260*t[11])/9 - (104*t[12])/3 + 
       (3256*t[13])/81 - (1130*t[14])/27 - (10*t[15])/9 - (32*t[31])/3 + 
       (76*t[43])/9 - (8*t[46])/3 + 4*t[48] + (64*t[49])/9 + (100*t[50])/9 - 
       (14*t[51])/9 - (100*t[52])/9 - (64*t[53])/9 - (68*t[54])/9 + 
       (152*t[59])/9 - (104*t[60])/9 - (80*t[61])/9 - (2248*t[62])/9 - 
       (440*t[63])/3 + (2552*t[64])/9 + (1840*t[65])/27 - (1696*t[66])/27 - 
       (16*t[74])/3 + (80*t[79])/3 + (416*t[80])/3 - (16*t[81])/3 + 
       (16*t[82])/3 + (128*t[83])/9 - (56*t[85])/3 + (2912*t[86])/9 + 
       (136*t[87])/9 + (68*t[88])/9 - (76*t[89])/3 + (128*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((115*t[1])/48 - (475*t[2])/144 + (457*t[3])/144 - (1613*t[4])/96 + 
       (1997*t[5])/96 + (1759*t[6])/192 - (6739*t[7])/144 + (665*t[8])/24 - 
       (20225*t[9])/288 + (1535*t[10])/36 - (3323*t[11])/72 - 
       (271*t[12])/12 - (112615*t[13])/3456 - (2135*t[14])/216 + 
       (3335*t[15])/144 - (5*t[18])/3 - t[20]/3 - (17*t[21])/12 + 
       (28*t[22])/3 + (17*t[23])/12 - (19*t[24])/6 - (2*t[25])/3 + 
       (5*t[26])/6 + (3*t[27])/2 - (3*t[28])/4 - (2*t[29])/3 + (11*t[31])/6 - 
       t[32]/3 + (3*t[33])/2 - (113*t[34])/12 - 2*t[35] - t[36]/2 - 
       (5*t[37])/4 + (4*t[38])/3 - 2*t[39] + (91*t[40])/24 - 
       (509*t[41])/144 + (389*t[42])/144 - (167*t[43])/288 + (2*t[44])/3 + 
       (2315*t[45])/144 + (55*t[46])/18 - (653*t[47])/18 + (103*t[48])/32 - 
       (71*t[49])/18 - (1949*t[50])/288 - (7*t[51])/9 + (1781*t[52])/288 + 
       (71*t[53])/18 + (1597*t[54])/288 - (7*t[58])/12 - (5*t[59])/48 - 
       (271*t[60])/9 - (4435*t[61])/48 + (17305*t[62])/288 - 
       (7019*t[63])/288 - (17*t[64])/96 - (1085*t[65])/54 + 
       (16433*t[66])/144 - (3*t[69])/4 + (11*t[70])/6 - (11*t[71])/6 - 
       t[72]/3 + t[73]/2 + (203*t[74])/36 + t[75]/2 - (179*t[76])/24 + 
       (17*t[77])/24 + (31*t[78])/12 - (5*t[79])/12 - (1351*t[80])/36 - 
       (77*t[81])/18 - (125*t[82])/36 - (379*t[83])/72 - (61*t[84])/18 - 
       (649*t[85])/144 - (587*t[86])/72 + (2759*t[87])/144 + 
       (2615*t[88])/288 - (17*t[89])/48 - (13*t[97])/24 - 44*t[98] + 
       38*t[99] + (1025*t[100])/24) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*(-t[1] - 30*t[2] + 
       (165*t[3])/8 + (13*t[4])/2 - (327*t[5])/16 - (231*t[6])/8 + 
       (81*t[7])/4 + (37*t[8])/2 + (457*t[9])/16 - (415*t[10])/4 + 
       (123*t[11])/2 + (683*t[12])/16 + (535*t[13])/18 - (2141*t[14])/48 - 
       (13805*t[15])/288 + 6*t[18] - 2*t[19] + 3*t[21] - 8*t[22] - 3*t[23] + 
       10*t[24] + 4*t[25] - 4*t[26] - 4*t[27] - 4*t[28] + 4*t[29] + 6*t[30] - 
       4*t[31] + 4*t[34] + 4*t[36] + 4*t[37] + 2*t[38] - 4*t[39] + 2*t[40] + 
       (7*t[41])/2 - (3*t[42])/2 - (157*t[43])/8 - 2*t[44] - (37*t[45])/2 - 
       6*t[46] + 57*t[47] + (75*t[48])/8 - (11*t[49])/4 - (65*t[50])/8 + 
       (15*t[51])/8 + (33*t[52])/8 + (11*t[53])/4 + (29*t[54])/8 + 2*t[58] - 
       8*t[59] + (157*t[60])/4 + (125*t[61])/2 - (331*t[62])/4 - 
       (235*t[63])/4 + 322*t[64] + (713*t[65])/6 - 88*t[66] - t[69] - 
       8*t[70] + 8*t[71] - 6*t[72] + 10*t[73] - 16*t[74] - 2*t[75] + 
       8*t[76] - 12*t[77] + 16*t[79] + 71*t[80] + 9*t[81] + 3*t[82] - 
       (63*t[83])/2 + (21*t[84])/4 + (13*t[85])/4 + (133*t[86])/2 - 
       (51*t[87])/4 - (51*t[88])/8 + (267*t[89])/8 + 48*t[98] - 56*t[99] + 
       43*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*(t[1]/6 + (47*t[2])/12 - (1139*t[3])/24 - 
       (139*t[4])/12 + (575*t[5])/24 + (2255*t[6])/48 - (295*t[7])/12 + 
       (195*t[8])/4 - (25*t[9])/12 + (793*t[10])/24 - (847*t[11])/48 + 
       (19*t[12])/4 + (1759*t[13])/216 + (281*t[14])/6 + (8813*t[15])/432 + 
       t[17]/6 + (4*t[18])/3 + 8*t[20] - (10*t[22])/3 - (2*t[24])/3 - 
       2*t[27] + 5*t[28] + (7*t[29])/6 + 2*t[30] + 8*t[31] + 9*t[32] + 
       6*t[33] - (11*t[34])/3 - 5*t[35] + 4*t[36] + 2*t[37] + (4*t[38])/3 - 
       (28*t[39])/3 + (10*t[40])/3 - t[41]/6 - t[42]/2 - t[43]/4 - 
       (43*t[44])/12 + (50*t[45])/3 - 3*t[46] - (83*t[47])/3 + 
       (409*t[48])/48 - (359*t[49])/24 - (71*t[50])/48 + (145*t[51])/16 + 
       (343*t[52])/48 + (295*t[53])/24 + (1627*t[54])/48 - (2*t[56])/3 - 
       (8*t[57])/3 - 2*t[59] + (2885*t[60])/24 + (519*t[61])/8 + 
       (561*t[62])/16 - (59*t[63])/48 - (2161*t[64])/16 + (203*t[65])/72 + 
       (293*t[66])/8 + t[67]/3 - (2*t[68])/3 + (8*t[70])/3 - (8*t[71])/3 - 
       8*t[72] - 2*t[73] - (4*t[74])/3 + 17*t[75] - (67*t[76])/3 + 
       (4*t[77])/3 + 34*t[78] - 4*t[79] - (73*t[80])/3 - 2*t[81] - 
       (28*t[82])/3 - 47*t[83] + (193*t[84])/8 - (73*t[85])/24 - 
       (325*t[86])/3 - (713*t[87])/24 + (7*t[88])/48 + (1313*t[89])/48 - 
       t[90]/3 - 2*t[95] - (26*t[96])/3 - (2*t[97])/3 - 112*t[98] + 
       100*t[99] + 43*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*((-5*t[1])/4 - (173*t[2])/48 + 
       (757*t[3])/48 + (1095*t[4])/32 - (1357*t[5])/48 - (221*t[6])/192 - 
       (2021*t[7])/96 - (825*t[8])/32 + (145*t[9])/32 + (685*t[10])/48 - 
       (3571*t[11])/96 + (19*t[12])/16 - (70765*t[13])/3456 - 
       (9203*t[14])/192 - (1283*t[15])/48 - t[18]/3 + (3*t[19])/2 - t[20]/6 - 
       (2*t[21])/3 - (5*t[22])/6 + t[23]/2 + t[24] - (3*t[25])/2 + 
       (15*t[26])/8 + (2*t[27])/3 - (3*t[28])/4 + (7*t[29])/6 - (9*t[31])/4 + 
       (11*t[32])/6 - 2*t[33] - (67*t[34])/24 - t[36] + t[37]/4 + t[38]/12 + 
       (3*t[39])/2 - 3*t[40] + (19*t[41])/6 - (31*t[42])/8 - (329*t[43])/48 + 
       (7*t[44])/6 + (29*t[45])/48 - (5*t[46])/8 - (39*t[47])/8 + 
       (169*t[48])/48 - (263*t[49])/96 + (289*t[50])/48 + (173*t[51])/192 - 
       (25*t[52])/16 + (263*t[53])/96 - (77*t[54])/24 + (11*t[58])/24 - 
       (3*t[59])/16 - 31*t[60] - (4627*t[61])/48 + (5927*t[62])/96 - 
       (791*t[63])/32 - (17*t[64])/96 - (169*t[65])/8 + (17011*t[66])/144 - 
       (3*t[69])/4 + (11*t[70])/6 - (11*t[71])/6 - t[72]/3 + t[73]/2 + 
       (65*t[74])/12 + t[75]/2 - (179*t[76])/24 + (17*t[77])/24 + 
       (31*t[78])/12 - (5*t[79])/12 - 38*t[80] - (9*t[81])/2 - (13*t[82])/4 - 
       (121*t[83])/24 - (7*t[84])/2 - (81*t[85])/16 - (197*t[86])/24 + 
       (319*t[87])/16 + (303*t[88])/32 - t[89]/48 - (13*t[97])/24 - 
       44*t[98] + 38*t[99] + (347*t[100])/8) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*(-4*t[1] - (11*t[2])/2 - 
       (7*t[3])/4 + (11*t[4])/4 - (317*t[5])/8 - (241*t[6])/8 + 
       (445*t[7])/8 + (299*t[8])/8 + (233*t[9])/4 + (41*t[10])/4 + 
       (43*t[11])/2 + (139*t[12])/4 + (4003*t[13])/144 + t[14]/48 - 
       (683*t[15])/24 - t[21] + t[23] - 6*t[31] - t[41]/2 + t[42]/2 - 
       (121*t[43])/8 + (99*t[45])/4 - (13*t[46])/2 - (15*t[47])/2 - 
       (15*t[48])/4 + (93*t[49])/8 + (23*t[50])/4 - (15*t[51])/16 - 
       (23*t[52])/4 - (93*t[53])/8 - (13*t[54])/2 - 6*t[59] - (21*t[60])/2 - 
       8*t[61] - (791*t[62])/4 - (93*t[63])/4 + (271*t[64])/2 + 
       (118*t[65])/3 - (523*t[66])/6 + 2*t[69] - 26*t[74] + 20*t[79] - 
       44*t[80] + t[81] - t[82] + 15*t[83] - (13*t[84])/2 - 2*t[85] + 
       179*t[86] + 13*t[87] + (13*t[88])/2 + (65*t[89])/4 + 45*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-103*t[1])/48 + (293*t[2])/288 + (5483*t[3])/288 + (2155*t[4])/144 - 
       (7553*t[5])/576 - (751*t[6])/96 - (3803*t[7])/96 - (6703*t[8])/288 - 
       (2579*t[9])/192 - (2035*t[10])/144 - (917*t[11])/72 - (31*t[12])/64 - 
       (16673*t[13])/1296 - (2443*t[14])/72 - (66311*t[15])/3456 - 
       (7*t[18])/24 - t[19]/4 - (5*t[20])/4 - (7*t[21])/4 - t[22]/2 + 
       (47*t[23])/36 + t[24]/18 - t[25] + (3*t[26])/4 + t[29]/2 + t[30]/4 - 
       (79*t[31])/36 - 2*t[32] + t[33] - (37*t[34])/8 + (5*t[37])/2 + 
       (9*t[38])/8 - (5*t[39])/4 + (25*t[40])/8 - (83*t[41])/144 + 
       (55*t[42])/72 + (29*t[43])/32 - (563*t[45])/144 + (25*t[46])/24 + 
       (683*t[47])/72 + (2021*t[48])/288 + (1031*t[49])/288 - 
       (1487*t[50])/288 - (797*t[51])/576 + (875*t[52])/288 - 
       (1031*t[53])/288 - (113*t[54])/96 + (175*t[59])/144 - (301*t[60])/18 - 
       (1421*t[61])/36 + (6749*t[62])/144 - (487*t[63])/48 - 
       (829*t[64])/144 + (2519*t[65])/216 + (2447*t[66])/108 - t[69] - 
       t[72]/2 + (55*t[74])/24 - (17*t[76])/4 + 2*t[78] + (75*t[79])/8 - 
       (161*t[80])/12 - (7*t[81])/8 - (21*t[82])/8 - (17*t[83])/18 - 
       (15*t[84])/16 + (25*t[85])/6 - (2141*t[86])/72 + (629*t[87])/72 + 
       (647*t[88])/144 + (21*t[89])/16 - (3*t[97])/4 - 27*t[98] + 24*t[99] + 
       (283*t[100])/6) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2*((7*t[1])/3 - (157*t[2])/12 - (101*t[3])/48 - 
       (145*t[4])/8 + (1675*t[5])/96 + 13*t[6] - (365*t[7])/16 + 
       (2381*t[8])/48 - (5027*t[9])/96 + (559*t[10])/24 - (23*t[11])/3 - 
       (1117*t[12])/96 - (8245*t[13])/864 - (79*t[14])/6 + (2599*t[15])/192 - 
       (2*t[18])/3 - t[19] - t[20]/3 - (8*t[21])/3 + (19*t[22])/3 + 
       (8*t[23])/3 - (5*t[24])/3 + (7*t[25])/3 - (2*t[26])/3 + t[27] - 
       t[28] - (2*t[29])/3 + t[30] - t[31]/3 + (5*t[32])/3 - t[33] - 
       (67*t[34])/6 + t[36] + t[37] + (7*t[38])/3 + t[39] - t[40]/3 + 
       t[41]/3 - (2*t[42])/3 + (13*t[43])/12 + t[44]/6 + (443*t[45])/24 + 
       (17*t[46])/12 - (109*t[47])/4 + (529*t[48])/48 - (151*t[49])/16 - 
       (61*t[50])/16 + (295*t[51])/96 + (143*t[52])/48 + (151*t[53])/16 + 
       (289*t[54])/48 + t[58]/6 + t[59]/4 - (109*t[60])/6 - (337*t[61])/24 + 
       (603*t[62])/16 - (883*t[63])/16 + (1001*t[64])/16 + (1673*t[65])/72 + 
       (3073*t[66])/72 + 2*t[69] + t[70]/3 - t[71]/3 - (7*t[72])/3 + 
       2*t[73] + 2*t[74] - (37*t[76])/3 + (11*t[77])/6 + (25*t[78])/3 + 
       4*t[79] - (151*t[80])/6 - (19*t[81])/3 - (43*t[82])/6 - (83*t[83])/6 + 
       (20*t[84])/3 - (95*t[85])/6 - (235*t[86])/12 + (94*t[87])/3 + 
       (47*t[88])/3 + (367*t[89])/12 - (13*t[97])/6 - 80*t[98] + 82*t[99] + 
       (95*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2*((31*t[1])/12 - (17*t[2])/4 + (365*t[3])/48 + 
       (169*t[4])/8 - (1375*t[5])/96 + (565*t[6])/48 - 15*t[7] + 
       (19*t[8])/8 - (199*t[9])/96 - (337*t[10])/16 - (73*t[11])/8 + 
       (337*t[12])/96 - (3617*t[13])/432 - (2279*t[14])/72 - 
       (11827*t[15])/576 + t[18]/3 - (2*t[20])/3 + t[21]/3 + (5*t[22])/3 - 
       t[23]/3 - t[24]/3 - t[25] + t[26] - (7*t[27])/3 + t[28] - t[29]/3 - 
       t[30] - t[31] - (5*t[32])/3 + t[33] - (23*t[34])/3 + t[36] + t[37] + 
       (7*t[38])/3 - t[39] + (3*t[40])/2 + (7*t[41])/12 - (5*t[42])/12 - 
       (299*t[43])/48 - (5*t[44])/6 - (7*t[45])/3 - (3*t[46])/4 + 
       (25*t[47])/2 + (229*t[48])/16 - (215*t[49])/48 + (23*t[50])/48 + 
       (293*t[51])/96 + (41*t[52])/48 + (215*t[53])/48 + (239*t[54])/48 + 
       (11*t[58])/6 + t[59]/4 - (109*t[60])/6 - (337*t[61])/24 + 
       (603*t[62])/16 - (883*t[63])/16 + (1001*t[64])/16 + (1673*t[65])/72 + 
       (3073*t[66])/72 + 2*t[69] + t[70]/3 - t[71]/3 - (7*t[72])/3 + 
       2*t[73] + 2*t[74] - (37*t[76])/3 + (11*t[77])/6 + (25*t[78])/3 + 
       4*t[79] - (151*t[80])/6 - (19*t[81])/3 - (43*t[82])/6 - (83*t[83])/6 + 
       (20*t[84])/3 - (95*t[85])/6 - (235*t[86])/12 + (94*t[87])/3 + 
       (47*t[88])/3 + (367*t[89])/12 - (13*t[97])/6 - 80*t[98] + 82*t[99] + 
       (95*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-22*t[1])/3 + (1451*t[2])/144 - 
       (1909*t[3])/576 + (205*t[4])/72 + (25171*t[5])/1152 + (1219*t[6])/36 + 
       (323*t[7])/96 + (263*t[8])/16 - (49381*t[9])/1152 - (1505*t[10])/288 - 
       (20377*t[11])/576 - (32503*t[12])/1152 - (37639*t[13])/864 - 
       (42329*t[14])/3456 + (138815*t[15])/6912 - (5*t[17])/8 - 
       (20*t[18])/9 - t[19] + (19*t[20])/18 - (11*t[21])/9 - (43*t[22])/18 + 
       (11*t[23])/9 - (26*t[24])/9 + t[25]/9 + (61*t[26])/36 + (7*t[27])/6 + 
       2*t[28] - (17*t[29])/9 - (5*t[30])/12 + (55*t[31])/18 + (23*t[32])/9 - 
       (3*t[33])/2 - (79*t[34])/18 - t[35] - (5*t[36])/6 + t[37] - 
       (47*t[38])/36 + (7*t[39])/2 - (127*t[40])/36 + (269*t[41])/72 - 
       (349*t[42])/72 + (1819*t[43])/192 + (37*t[44])/18 + (2047*t[45])/144 + 
       (343*t[46])/72 - (311*t[47])/8 + (655*t[48])/144 - (1715*t[49])/288 + 
       (827*t[50])/144 - (2459*t[51])/576 + (55*t[52])/48 + 
       (1715*t[53])/288 + (5*t[54])/2 - (13*t[58])/36 + (131*t[59])/36 - 
       (695*t[60])/24 - (6563*t[61])/96 + (61471*t[62])/576 + 
       (3241*t[63])/64 - (27983*t[64])/576 - (17911*t[65])/288 + 
       (47921*t[66])/288 - (13*t[69])/6 + (131*t[70])/18 - (131*t[71])/18 + 
       (49*t[72])/18 - (13*t[73])/4 + (77*t[74])/6 + (17*t[75])/4 - 
       (475*t[76])/36 - (23*t[77])/36 + (241*t[78])/36 - (89*t[79])/4 - 
       (1705*t[80])/72 - (457*t[81])/36 + (95*t[82])/18 - (29*t[83])/6 - 
       (37*t[84])/36 - (533*t[85])/72 - (977*t[86])/16 + (209*t[87])/8 + 
       (209*t[88])/16 + (155*t[89])/18 - t[94]/4 - (23*t[97])/36 - 
       (230*t[98])/3 + 72*t[99] + (287*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-16*t[2] + (15*t[3])/2 - 7*t[4] + (99*t[5])/4 - (5*t[6])/2 - 
       (49*t[7])/4 + (121*t[8])/4 - (83*t[9])/2 - (251*t[10])/4 + 
       (101*t[11])/4 + (59*t[12])/4 + (3127*t[13])/72 - (611*t[14])/12 - 
       (151*t[15])/9 + 8*t[18] + 2*t[20] + 8*t[21] + 4*t[22] - 8*t[23] + 
       12*t[24] - 2*t[25] + t[26] - 2*t[27] - 6*t[29] + 8*t[31] - 8*t[32] + 
       10*t[33] - 8*t[34] + 4*t[36] + 7*t[38] - 10*t[39] + 14*t[40] + 
       4*t[41] - (31*t[43])/4 - (7*t[45])/2 - t[46] + 27*t[47] + 
       (19*t[48])/4 - 9*t[49] - (37*t[50])/4 + (49*t[51])/4 - (43*t[52])/4 + 
       9*t[53] + (41*t[54])/4 + 3*t[58] - 3*t[59] + 32*t[60] + t[61] + 
       (31*t[62])/4 - (747*t[63])/4 + (183*t[64])/2 + (281*t[65])/2 - 
       (197*t[66])/3 + 8*t[69] - 8*t[70] + 8*t[71] - 2*t[72] + 8*t[73] - 
       8*t[75] - t[76] - 8*t[77] + 8*t[78] + 10*t[80] - t[81] - 2*t[82] + 
       4*t[83] + (25*t[84])/2 - (27*t[85])/2 + 36*t[86] + (57*t[87])/2 + 
       (57*t[88])/4 + 91*t[89] - 2*t[97] - 24*t[98] + 48*t[99] + 48*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (3*t[1] + t[2]/2 + (17*t[3])/2 + (3*t[4])/4 + (25*t[5])/2 + 
       (67*t[6])/8 - (131*t[7])/4 + (9*t[8])/4 - (95*t[9])/2 - (11*t[10])/4 - 
       16*t[11] - (57*t[12])/4 - (515*t[13])/144 - (141*t[14])/4 + 
       (9*t[15])/2 + t[26] + 2*t[31] - 9*t[34] + 2*t[38] - t[40] + t[41] - 
       t[42] + (11*t[43])/2 + t[45] + 2*t[46] - 5*t[47] + (33*t[48])/4 - 
       10*t[49] - (7*t[50])/4 + 4*t[51] + (11*t[52])/4 + 10*t[53] + 
       (11*t[54])/4 + t[58] - 27*t[60] - 51*t[61] + 78*t[62] - 75*t[63] + 
       (31*t[64])/2 + (59*t[65])/6 + (209*t[66])/6 + 8*t[74] - 14*t[76] - 
       2*t[77] + 8*t[78] - t[80] - 6*t[81] - 2*t[82] + t[84] - 11*t[85] - 
       42*t[86] + 35*t[87] + (35*t[88])/2 + (45*t[89])/2 - 2*t[97] - 
       96*t[98] + 96*t[99] + 48*t[100]) + HPL[{0, 1, 1}, 1 - w]*
      Omega2[v, w, u]*(-t[1]/2 + (17*t[2])/2 + (15*t[3])/4 + (7*t[4])/4 + 
       (17*t[5])/8 + (25*t[6])/4 + (11*t[7])/4 - (57*t[8])/4 + (51*t[9])/8 - 
       (143*t[10])/8 + (19*t[11])/2 + (13*t[12])/4 - t[13]/4 - 
       (445*t[14])/48 - (95*t[15])/48 - 2*t[19] - 2*t[21] + 2*t[23] - 
       4*t[28] + 2*t[30] + 4*t[31] + 4*t[35] + 2*t[37] - 2*t[39] - t[41] + 
       t[42] + (9*t[43])/2 + 2*t[44] - (7*t[45])/2 + 11*t[47] - 
       (41*t[48])/4 + (17*t[49])/8 + (19*t[50])/4 - (17*t[51])/16 - 
       (19*t[52])/4 - (17*t[53])/8 - 8*t[54] + t[59] - (15*t[60])/4 - 
       (123*t[61])/4 + (191*t[62])/8 + (77*t[63])/8 + (255*t[64])/8 - 
       (49*t[65])/4 - (3*t[66])/4 + 3*t[69] - 3*t[72] - t[77] - 6*t[80] + 
       (21*t[83])/2 - (25*t[84])/4 + (33*t[85])/4 + t[86] + (9*t[87])/4 + 
       (9*t[88])/8 + (43*t[89])/8 + 51*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      Omega2[v, w, u]*((-37*t[2])/2 + (13*t[3])/4 + (13*t[4])/2 - 
       (5*t[5])/8 - (25*t[6])/8 - (29*t[7])/2 - 19*t[8] - (127*t[9])/8 - 
       12*t[10] - (75*t[11])/8 - (47*t[12])/8 - (917*t[13])/72 - 
       (245*t[14])/12 - (165*t[15])/16 - 2*t[19] - t[21] + t[23] - 2*t[28] + 
       2*t[30] + 2*t[31] + 8*t[35] + 6*t[37] - 2*t[39] + t[40] + t[41]/2 - 
       t[42]/2 + (9*t[43])/4 - 3*t[45] + 2*t[47] + (3*t[48])/8 + 
       (5*t[49])/2 - (33*t[50])/8 - (7*t[51])/4 + (33*t[52])/8 - 
       (5*t[53])/2 - (15*t[54])/8 + t[59] - (15*t[60])/4 - (123*t[61])/4 + 
       (191*t[62])/8 + (77*t[63])/8 + (255*t[64])/8 - (49*t[65])/4 - 
       (3*t[66])/4 + 3*t[69] - 3*t[72] - t[77] - 6*t[80] + (21*t[83])/2 - 
       (25*t[84])/4 + (33*t[85])/4 + t[86] + (9*t[87])/4 + (9*t[88])/8 + 
       (43*t[89])/8 + 51*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((-69*t[1])/8 + (47*t[2])/2 - 
       (205*t[3])/8 - (231*t[4])/8 + (1097*t[5])/32 - (837*t[6])/32 - 
       (161*t[7])/8 - (197*t[8])/8 - (1725*t[9])/32 + (525*t[10])/8 - 
       (1729*t[11])/32 - (353*t[12])/32 - (4561*t[13])/144 - (95*t[14])/32 + 
       (2917*t[15])/192 - t[16] + t[17]/2 - 2*t[18] + 2*t[19] + 3*t[20] + 
       t[21] - t[22] - t[23] - 2*t[24] + (11*t[25])/2 + (3*t[26])/2 + 
       (11*t[27])/2 - 4*t[28] - (7*t[29])/2 - (17*t[30])/2 + t[31] + 
       (27*t[32])/4 + t[33] + (5*t[34])/4 - 12*t[36] - t[37]/2 - t[38]/4 - 
       t[39]/4 + (11*t[40])/2 + (11*t[41])/8 - (15*t[42])/8 + (17*t[43])/16 - 
       (15*t[44])/8 + (65*t[45])/4 + 8*t[46] - (97*t[47])/4 + (81*t[48])/32 + 
       (43*t[49])/8 + (101*t[50])/32 - (361*t[51])/32 - (157*t[52])/32 - 
       (63*t[53])/8 - (65*t[54])/32 - t[55]/4 - (3*t[58])/2 - (47*t[59])/8 - 
       (723*t[60])/16 - (1713*t[61])/16 + (939*t[62])/32 + (1149*t[63])/32 + 
       (455*t[64])/32 - (1643*t[65])/48 + (5083*t[66])/48 - t[67]/2 - 
       (11*t[68])/2 - 4*t[69] + 6*t[70] - 6*t[71] - t[72] - 4*t[73] + 
       (29*t[74])/2 + 4*t[75] + t[76] - (3*t[77])/2 - (7*t[78])/4 + 5*t[79] - 
       (115*t[80])/2 - (37*t[81])/4 + (45*t[82])/4 - t[83] - (21*t[84])/16 + 
       (75*t[85])/16 - (71*t[86])/4 + (741*t[87])/16 + (1045*t[88])/32 - 
       (163*t[89])/32 - t[91]/12 - t[93] + t[94]/2 - 5*t[95] - (13*t[96])/2 - 
       (5*t[97])/4 - 60*t[98] + 32*t[99] + 51*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((15*t[1])/4 + 5*t[2] + 5*t[3] + (93*t[4])/16 + (201*t[5])/32 + 
       (167*t[6])/16 - (445*t[7])/16 - (353*t[8])/16 - (221*t[9])/32 + 
       (1147*t[10])/32 - (955*t[11])/16 - (215*t[12])/4 - (587*t[13])/32 - 
       (6889*t[14])/192 - (2029*t[15])/192 + t[16] + (3*t[17])/4 - 2*t[18] + 
       t[19] - 11*t[20] - t[21] + 9*t[22] + t[23] + 9*t[24] + t[25] - 
       (19*t[26])/4 + (9*t[27])/2 + 4*t[28] + (25*t[29])/4 + 3*t[30] - 
       4*t[31] + 5*t[32] + t[33]/2 + (11*t[34])/2 - 5*t[35] + t[36]/2 - 
       (5*t[37])/2 + (9*t[38])/4 + 8*t[39] - 8*t[40] - (19*t[41])/4 + 
       (15*t[42])/4 - (11*t[43])/4 - (49*t[44])/8 + (197*t[45])/8 + 
       (5*t[46])/4 - (91*t[47])/2 + (69*t[48])/8 - (661*t[49])/32 + 
       (39*t[50])/8 + (259*t[51])/64 + (53*t[52])/8 + (333*t[53])/32 + 
       (49*t[54])/16 + t[56] - t[57] - t[58]/4 - (47*t[59])/8 - 
       (723*t[60])/16 - (1713*t[61])/16 + (939*t[62])/32 + (1149*t[63])/32 + 
       (455*t[64])/32 - (1643*t[65])/48 + (5083*t[66])/48 - t[67]/2 - 
       (11*t[68])/2 - 4*t[69] + 6*t[70] - 6*t[71] - t[72] - 4*t[73] + 
       (29*t[74])/2 + 4*t[75] + t[76] - (3*t[77])/2 - (7*t[78])/4 + 5*t[79] - 
       (115*t[80])/2 - (37*t[81])/4 + (45*t[82])/4 - t[83] - (21*t[84])/16 + 
       (75*t[85])/16 - (71*t[86])/4 + (741*t[87])/16 + (1045*t[88])/32 - 
       (163*t[89])/32 - t[91]/12 - t[93] + t[94]/2 - 5*t[95] - (13*t[96])/2 - 
       (5*t[97])/4 - 60*t[98] + 32*t[99] + 51*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-15*t[1])/4 - (45*t[2])/4 + (81*t[3])/4 + (17*t[4])/2 + (57*t[5])/4 + 
       (3*t[6])/8 - (231*t[7])/4 - (95*t[8])/4 - (537*t[9])/8 + 
       (233*t[10])/8 - (125*t[11])/2 - 19*t[12] - (745*t[13])/18 - 
       (131*t[14])/3 + (197*t[15])/144 - 2*t[18] - (3*t[20])/2 - 2*t[21] - 
       t[22]/2 + 2*t[23] - 2*t[24] - 2*t[25] + 2*t[26] + t[27]/2 + t[28]/2 + 
       3*t[29] - t[30] + (5*t[31])/2 - (9*t[32])/2 + (9*t[33])/2 - 
       (19*t[34])/2 + t[37] + t[38]/2 - (9*t[39])/2 + 7*t[40] - t[41]/4 - 
       (7*t[43])/4 + t[44] + (57*t[45])/4 - (13*t[46])/4 - (119*t[47])/4 + 
       (7*t[48])/2 + (21*t[49])/8 - (43*t[50])/4 + (31*t[52])/4 - 
       (21*t[53])/8 + (11*t[54])/2 - t[58] + t[59]/4 - (241*t[60])/8 - 
       (773*t[61])/8 + (1491*t[62])/16 + (269*t[63])/16 - (489*t[64])/16 - 
       (375*t[65])/8 + (3245*t[66])/24 + (3*t[69])/2 + (5*t[70])/2 - 
       (5*t[71])/2 + t[72]/2 + 5*t[73] + t[74] - 4*t[75] - (37*t[76])/4 - 
       (3*t[77])/4 + (9*t[78])/4 + 4*t[79] - 42*t[80] - (11*t[81])/2 + 
       2*t[82] - 18*t[83] - (41*t[84])/8 - t[85]/8 - 38*t[86] + 
       (53*t[87])/8 + (49*t[88])/16 - (179*t[89])/16 - t[97]/2 - 42*t[98] + 
       22*t[99] + (103*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((-15*t[1])/4 + (9*t[2])/4 + 
       (19*t[3])/2 + (83*t[4])/8 + t[5]/8 + (403*t[6])/16 - 23*t[7] - 
       (13*t[8])/4 - (141*t[9])/8 + (377*t[10])/16 - (803*t[11])/16 + 
       (121*t[12])/16 - (4087*t[13])/144 - (2381*t[14])/96 - (169*t[15])/72 - 
       2*t[18] - 2*t[21] + 8*t[22] + 2*t[23] - 2*t[24] - t[25]/2 + 
       (11*t[26])/4 + 2*t[27] + t[28]/2 + 3*t[29] - t[30]/2 + (3*t[31])/2 + 
       (7*t[32])/2 - 3*t[33] - 3*t[34] - (5*t[38])/2 + 3*t[39] - 4*t[40] - 
       2*t[41] + t[42] - 5*t[43] - (3*t[44])/2 + (13*t[45])/4 + (5*t[46])/4 - 
       (29*t[47])/4 - (7*t[48])/16 - (45*t[49])/16 + (105*t[50])/16 - 
       (45*t[51])/32 - t[52]/16 + (45*t[53])/16 - (95*t[54])/16 - t[58]/4 + 
       t[59]/4 - (241*t[60])/8 - (773*t[61])/8 + (1491*t[62])/16 + 
       (269*t[63])/16 - (489*t[64])/16 - (375*t[65])/8 + (3245*t[66])/24 + 
       (3*t[69])/2 + (5*t[70])/2 - (5*t[71])/2 + t[72]/2 + 5*t[73] + t[74] - 
       4*t[75] - (37*t[76])/4 - (3*t[77])/4 + (9*t[78])/4 + 4*t[79] - 
       42*t[80] - (11*t[81])/2 + 2*t[82] - 18*t[83] - (41*t[84])/8 - 
       t[85]/8 - 38*t[86] + (53*t[87])/8 + (49*t[88])/16 - (179*t[89])/16 - 
       t[97]/2 - 42*t[98] + 22*t[99] + (103*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-151*t[2])/12 + (259*t[3])/48 - (35*t[4])/6 - (11*t[5])/24 - 
       (45*t[6])/16 - (305*t[7])/24 - (35*t[8])/24 - (175*t[9])/12 + 
       (25*t[10])/3 - (557*t[11])/48 - (5*t[12])/4 - (301*t[13])/48 - 
       (2639*t[14])/144 - (1651*t[15])/864 - 6*t[20] + (2*t[22])/3 + 
       5*t[28] - t[29]/4 + (13*t[30])/3 + t[32]/3 + t[33]/2 - (5*t[34])/2 - 
       3*t[35] + t[37] + t[41]/2 + t[42]/2 - (25*t[44])/24 + t[47] - 
       (43*t[48])/48 - t[49]/3 + (25*t[50])/48 + t[51]/6 - (25*t[52])/48 + 
       t[53]/3 - (127*t[54])/48 + (3*t[59])/4 - (92*t[60])/3 - 
       (155*t[61])/6 - (35*t[62])/48 + (847*t[63])/48 + (1229*t[64])/24 + 
       (19*t[65])/3 + (1211*t[66])/36 - t[67]/4 + t[69] - t[70] + t[71]/3 - 
       (7*t[74])/6 - 3*t[75] - 2*t[79] - t[80] + (5*t[81])/4 - (5*t[82])/4 + 
       (11*t[83])/2 - (25*t[84])/4 - (73*t[85])/24 + (253*t[87])/24 + 
       (389*t[88])/48 + (209*t[89])/48 - (2*t[95])/3 - 8*t[99] + 52*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((7*t[1])/2 - (13*t[2])/2 + (275*t[3])/12 - (62*t[4])/3 + 
       (145*t[5])/3 - (257*t[6])/48 - (212*t[7])/3 + (65*t[8])/12 - 
       (819*t[9])/8 - 99*t[10] + (1981*t[11])/48 + (97*t[12])/6 + 
       (7555*t[13])/216 - (9665*t[14])/144 - (137*t[15])/16 + (5*t[17])/3 + 
       (4*t[18])/3 + (10*t[19])/3 - (2*t[20])/3 - (14*t[22])/3 - 
       (2*t[23])/3 - (10*t[24])/3 + 2*t[25] - (2*t[26])/3 + (8*t[27])/3 + 
       4*t[28] - (17*t[29])/3 + (37*t[30])/6 - (2*t[31])/3 - (31*t[32])/2 + 
       (5*t[33])/6 - 4*t[34] + 2*t[35] + 2*t[36] + (2*t[37])/3 + 
       (7*t[38])/3 + (7*t[39])/3 + (8*t[40])/3 + (7*t[41])/2 - (5*t[42])/2 + 
       (83*t[43])/12 - (17*t[44])/6 + (23*t[45])/12 + (49*t[46])/6 + 
       (41*t[47])/6 + (175*t[48])/16 - (131*t[49])/6 - (529*t[50])/16 + 
       (37*t[51])/8 + (1363*t[52])/48 + (131*t[53])/6 + (695*t[54])/48 - 
       t[56]/3 - (4*t[57])/3 + t[58] - (23*t[59])/6 - (425*t[60])/8 - 
       (387*t[61])/8 + (3763*t[62])/48 - (1769*t[63])/16 + (17371*t[64])/48 + 
       (4769*t[65])/72 - (4157*t[66])/72 + (2*t[68])/3 + t[69] - 
       (22*t[70])/3 + (22*t[71])/3 + t[72]/3 + 6*t[73] - (10*t[74])/3 + 
       4*t[75] - (5*t[76])/3 - (9*t[77])/2 - (16*t[78])/3 + 24*t[79] + 
       (58*t[80])/3 + (8*t[81])/3 + (35*t[82])/3 - (139*t[83])/6 + 
       (13*t[84])/24 - (41*t[85])/8 - (95*t[86])/6 + (1205*t[87])/24 + 
       (565*t[88])/48 + (1021*t[89])/16 + (16*t[95])/3 + (8*t[96])/3 - 
       4*t[97] - 4*t[99] + 52*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((71*t[1])/12 - (7*t[2])/8 + (21*t[3])/4 + 
       (75*t[4])/8 - (17*t[5])/2 - 51*t[6] + (265*t[7])/8 + (11*t[8])/2 + 
       (129*t[9])/8 + (201*t[10])/16 - (35*t[11])/4 + (79*t[12])/16 + 
       (1949*t[13])/144 - (613*t[14])/32 - (251*t[15])/16 - (3*t[17])/4 + 
       2*t[20] - t[21] + t[23] - t[24] + 2*t[27] - 6*t[31] + 2*t[32] - 
       t[35] - t[37] - 2*t[40] - (9*t[41])/4 + (9*t[42])/4 - (89*t[43])/8 + 
       11*t[45] - (29*t[46])/4 - (11*t[47])/2 - (21*t[48])/8 + 
       (119*t[49])/16 + (127*t[50])/8 + (23*t[51])/32 - (111*t[52])/8 - 
       (119*t[53])/16 - (53*t[54])/4 - (25*t[59])/6 - (277*t[60])/8 - 
       (507*t[61])/8 - (1993*t[62])/16 - (675*t[63])/16 + (1391*t[64])/16 + 
       (7*t[65])/2 - (35*t[66])/3 - t[67]/4 + 2*t[69] + t[70] - t[71] - 
       2*t[72] - (39*t[74])/2 + 2*t[77] + 16*t[79] - 14*t[80] - 
       (29*t[81])/4 + (29*t[82])/4 + 15*t[83] - 6*t[84] - (127*t[85])/8 + 
       (243*t[86])/2 + (199*t[87])/8 + (199*t[88])/16 + (231*t[89])/16 + 
       (105*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^3*
      ((61*t[1])/24 - (55*t[2])/24 - (185*t[3])/96 - (67*t[4])/16 + 
       (751*t[5])/192 + (25*t[6])/8 - (105*t[7])/32 + (1385*t[8])/96 - 
       (2111*t[9])/192 + (29*t[10])/24 - (31*t[11])/12 - (1213*t[12])/192 + 
       (959*t[13])/1728 - (467*t[14])/96 + (633*t[15])/128 + t[18]/6 - 
       t[20]/6 + t[21]/6 + (11*t[22])/3 - t[23]/6 - (5*t[24])/6 + 
       (7*t[25])/6 - t[26]/12 + (3*t[27])/2 - (5*t[29])/6 - t[30] - t[31]/6 + 
       (5*t[32])/6 - (3*t[33])/2 - (10*t[34])/3 + t[36] + (11*t[38])/12 + 
       (3*t[39])/2 - (7*t[40])/6 + (7*t[41])/24 - (5*t[42])/24 + 
       (31*t[43])/24 + (13*t[44])/12 + (179*t[45])/48 + (23*t[46])/24 - 
       (29*t[47])/8 + (253*t[48])/96 - (149*t[49])/32 + (15*t[50])/32 + 
       (277*t[51])/192 + (83*t[52])/96 + (149*t[53])/32 - (71*t[54])/96 - 
       t[58]/6 - (3*t[59])/4 - (127*t[60])/12 - (877*t[61])/48 + 
       (505*t[62])/32 - (1137*t[63])/32 + (289*t[64])/32 + (1277*t[65])/144 + 
       (1189*t[66])/144 - t[69] - (4*t[70])/3 + (4*t[71])/3 - (19*t[72])/6 + 
       t[73] + t[74] - (3*t[75])/2 - (31*t[76])/6 + (13*t[77])/6 + 
       (8*t[78])/3 - (49*t[80])/12 - (41*t[81])/12 - (61*t[82])/12 - 
       (7*t[83])/6 + (29*t[84])/24 - (25*t[85])/6 + (77*t[86])/24 + 
       (179*t[87])/12 + (179*t[88])/24 + (361*t[89])/24 - (4*t[97])/3 - 
       34*t[98] + 34*t[99] + (215*t[100])/4) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w]*(-2*t[1] + (49*t[3])/12 - 
       (49*t[4])/3 + (51*t[5])/16 - (153*t[6])/16 - (11*t[7])/8 - 
       (157*t[8])/24 - (293*t[9])/48 + (425*t[10])/48 - (899*t[11])/48 + 
       (79*t[12])/24 - (217*t[13])/27 - (649*t[14])/72 - (479*t[15])/288 - 
       (3*t[16])/4 - (11*t[25])/6 + (7*t[26])/6 - t[31] - (11*t[36])/6 - 
       (4*t[37])/3 - t[38]/2 - (23*t[43])/24 - (2*t[46])/3 - (41*t[48])/16 + 
       (101*t[49])/16 + (39*t[50])/16 - (59*t[51])/48 - (39*t[52])/16 - 
       (77*t[53])/16 + (119*t[54])/48 + (35*t[59])/12 - (123*t[60])/4 - 
       (98*t[61])/3 - (391*t[62])/48 + (715*t[63])/48 + (1159*t[64])/24 + 
       (193*t[65])/18 + (547*t[66])/12 - t[67]/4 + t[69] - t[70] + t[71]/3 - 
       (13*t[74])/6 - 3*t[75] - 2*t[79] - t[80] + (3*t[81])/4 - (3*t[82])/4 + 
       (41*t[83])/6 - (25*t[84])/4 - (115*t[85])/24 + (41*t[86])/6 + 
       (263*t[87])/24 + (133*t[88])/16 + (143*t[89])/48 - (2*t[95])/3 - 
       8*t[99] + 56*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((11*t[1])/36 + (313*t[2])/36 + (1489*t[3])/288 + 
       (91*t[4])/12 - (8075*t[5])/576 - 14*t[6] + (193*t[7])/16 - 
       (5369*t[8])/144 + (12001*t[9])/576 + (2915*t[10])/288 - 
       (1367*t[11])/72 - (5167*t[12])/576 - (61141*t[13])/5184 - 
       (1139*t[14])/144 - (16495*t[15])/3456 + t[17]/2 - (11*t[18])/18 - 
       t[19]/2 + (13*t[20])/9 - (5*t[21])/18 - (55*t[22])/9 - (19*t[23])/18 - 
       (40*t[24])/9 - (10*t[25])/9 + (5*t[26])/9 - (7*t[27])/6 - 
       (49*t[29])/36 - (4*t[30])/3 - (53*t[31])/9 - (119*t[32])/36 + 
       (8*t[34])/9 - t[35] - (5*t[36])/12 + t[38]/18 - (3*t[39])/2 + 
       (41*t[40])/18 - (109*t[41])/36 + (53*t[42])/36 - (1037*t[43])/288 + 
       (97*t[44])/36 + (71*t[45])/144 + (7*t[46])/9 - (31*t[47])/24 - 
       (245*t[48])/288 + (469*t[49])/96 + (1361*t[50])/96 - 
       (1679*t[51])/576 - (3259*t[52])/288 - (469*t[53])/96 - 
       (1625*t[54])/288 - (3*t[56])/4 - t[57] - (23*t[58])/36 + 
       (55*t[59])/24 - (347*t[60])/18 - (10051*t[61])/144 + (93*t[62])/16 + 
       (107*t[63])/48 - (213*t[64])/8 - (6979*t[65])/432 + 
       (22393*t[66])/432 - (3*t[68])/4 - (5*t[69])/6 + (31*t[70])/18 - 
       (31*t[71])/18 + (95*t[72])/18 - (5*t[73])/4 + (9*t[74])/4 + t[75]/4 - 
       (73*t[76])/18 - (37*t[77])/9 + (119*t[78])/36 - 8*t[79] - 
       (5*t[80])/18 + (7*t[81])/36 + (29*t[82])/9 + (155*t[83])/18 + 
       (113*t[84])/72 + (305*t[85])/72 + (1465*t[86])/36 - (113*t[87])/72 - 
       (77*t[88])/144 - (79*t[89])/9 + t[90]/4 + t[93] + (5*t[97])/36 - 
       (49*t[98])/3 + 6*t[99] + 56*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((89*t[1])/36 - (17*t[2])/3 - 
       (1189*t[3])/288 - (3403*t[4])/144 + (3227*t[5])/192 + 
       (2795*t[6])/288 - (179*t[7])/12 + (289*t[8])/36 - (17473*t[9])/576 + 
       (4571*t[10])/96 - (10945*t[11])/288 + (299*t[12])/192 - 
       (22555*t[13])/5184 - (27565*t[14])/1728 + (19769*t[15])/1152 - 
       t[18]/3 - t[19]/4 - t[20]/2 + 3*t[21] + 2*t[22] - (5*t[23])/6 - 
       (7*t[24])/3 + t[26]/2 + t[27] - t[29]/4 + t[30]/4 + (25*t[31])/6 + 
       (5*t[32])/4 - (3*t[33])/2 - (15*t[34])/8 + 2*t[35] + t[37]/2 + 
       t[38]/8 + (5*t[39])/4 - (17*t[40])/8 + t[41]/48 - (25*t[42])/16 - 
       (133*t[43])/144 + (3*t[44])/4 + (673*t[45])/48 + (35*t[46])/48 - 
       (673*t[47])/24 - (271*t[48])/48 - (2729*t[49])/288 + (515*t[50])/144 + 
       (775*t[51])/288 - (173*t[52])/144 + (2729*t[53])/288 + (8*t[54])/9 + 
       t[58]/4 + (161*t[59])/144 - (3949*t[60])/144 - (6503*t[61])/72 + 
       (1145*t[62])/18 - (371*t[63])/24 - (251*t[64])/36 + (119*t[65])/108 + 
       (16373*t[66])/216 - t[69] - t[72]/2 - (19*t[74])/24 - (17*t[76])/4 + 
       2*t[78] + (75*t[79])/8 - (229*t[80])/12 - (15*t[81])/4 + t[82]/4 + 
       (41*t[83])/18 - (109*t[84])/48 - (155*t[85])/48 - (248*t[86])/9 + 
       (2627*t[87])/144 + (2663*t[88])/288 + (455*t[89])/96 - (3*t[97])/4 - 
       27*t[98] + 24*t[99] + (341*t[100])/6) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*((201*t[1])/8 - (63*t[2])/2 + 
       (211*t[3])/16 + (17*t[4])/8 + (3861*t[5])/32 + (611*t[6])/16 - 
       (1425*t[7])/4 - (509*t[8])/4 - (11099*t[9])/32 + (2123*t[10])/16 - 
       (3651*t[11])/16 - (4883*t[12])/32 - (15671*t[13])/288 - 
       (775*t[14])/8 + (14381*t[15])/192 + (15*t[17])/4 - (9*t[18])/2 + 
       6*t[21] - 6*t[23] - 15*t[24] - 6*t[25] + (21*t[26])/4 + 6*t[27] - 
       15*t[31] - (15*t[32])/2 + (15*t[33])/2 - (147*t[34])/4 + (9*t[38])/2 - 
       (15*t[39])/2 + 12*t[40] - (3*t[41])/8 - (15*t[42])/8 + 
       (587*t[43])/16 + 3*t[44] + 12*t[45] + (3*t[46])/2 - (477*t[47])/4 + 
       (39*t[48])/2 - (147*t[49])/16 - 25*t[50] + (159*t[51])/32 + 
       (49*t[52])/4 + (147*t[53])/16 + (45*t[54])/8 - (15*t[58])/4 + 
       (47*t[59])/8 - (551*t[60])/4 - (3785*t[61])/8 + (12275*t[62])/16 + 
       (869*t[63])/16 - (2769*t[64])/16 - (7037*t[65])/24 + (6929*t[66])/24 - 
       6*t[69] + 3*t[70] - 3*t[71] - 3*t[74] - 24*t[76] + 6*t[77] + 
       (15*t[78])/4 + 51*t[79] - (243*t[80])/2 - (27*t[81])/4 - (9*t[82])/4 - 
       5*t[83] - (21*t[84])/2 - (41*t[85])/2 - (2099*t[86])/4 + 96*t[87] + 
       48*t[88] + (169*t[89])/4 + (3*t[94])/2 - (3*t[97])/4 - 126*t[98] + 
       90*t[99] + 57*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-9*t[1])/4 + 5*t[2] + (689*t[3])/16 + (1285*t[4])/8 - (705*t[5])/32 - 
       (105*t[6])/8 - (4779*t[7])/16 - (4309*t[8])/16 - (6611*t[9])/32 - 
       (529*t[10])/8 - (3807*t[11])/16 - (2761*t[12])/32 - 
       (16195*t[13])/144 - (2617*t[14])/16 - (2627*t[15])/192 + 
       (15*t[17])/4 + (3*t[18])/2 - 3*t[21] + 6*t[22] + (23*t[23])/2 - 
       11*t[24] - 6*t[25] + (39*t[26])/4 + 6*t[27] + 6*t[31] + (21*t[32])/4 - 
       9*t[33] - 6*t[34] - (9*t[38])/2 + 9*t[39] - (57*t[40])/4 + 
       (25*t[41])/2 - 7*t[42] + (687*t[43])/8 + 3*t[44] - (209*t[45])/8 - 
       3*t[46] - (223*t[47])/4 + 13*t[48] - (259*t[49])/16 + (3*t[50])/2 + 
       (91*t[51])/32 + 18*t[52] + (259*t[53])/16 + (53*t[54])/8 + 
       (3*t[58])/4 + (47*t[59])/8 - (551*t[60])/4 - (3785*t[61])/8 + 
       (12275*t[62])/16 + (869*t[63])/16 - (2769*t[64])/16 - 
       (7037*t[65])/24 + (6929*t[66])/24 - 6*t[69] + 3*t[70] - 3*t[71] - 
       3*t[74] - 24*t[76] + 6*t[77] + (15*t[78])/4 + 51*t[79] - 
       (243*t[80])/2 - (27*t[81])/4 - (9*t[82])/4 - 5*t[83] - (21*t[84])/2 - 
       (41*t[85])/2 - (2099*t[86])/4 + 96*t[87] + 48*t[88] + (169*t[89])/4 + 
       (3*t[94])/2 - (3*t[97])/4 - 126*t[98] + 90*t[99] + 57*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*(-50*t[2] + 11*t[3] - 
       55*t[4] + (101*t[5])/2 - 25*t[6] + 73*t[7] - 153*t[8] - (33*t[9])/2 + 
       (33*t[10])/2 - 8*t[11] + 37*t[12] + (8*t[13])/9 - (397*t[14])/12 + 
       (139*t[15])/4 + 4*t[20] + 4*t[21] + 4*t[27] - 28*t[32] + 32*t[33] - 
       32*t[39] + 20*t[40] + 4*t[41] - 4*t[42] + 16*t[44] + 4*t[46] - 
       5*t[48] - (51*t[49])/2 + 27*t[50] + (39*t[51])/4 - 23*t[52] + 
       (51*t[53])/2 - 14*t[54] + 20*t[59] - 99*t[60] + 117*t[61] - 
       (235*t[62])/2 + (231*t[63])/2 + (9*t[64])/2 - (13*t[65])/3 - 
       (7*t[66])/3 - 4*t[67] + 4*t[69] - 4*t[70] + 4*t[71] + 28*t[72] - 
       8*t[74] - 64*t[76] - 12*t[77] + 80*t[78] - 32*t[80] - 20*t[81] + 
       52*t[82] - 3*t[84] - 71*t[85] + 93*t[87] + (93*t[88])/2 - 
       (101*t[89])/2 - 384*t[98] + 480*t[99] + 60*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*(-24*t[1] - 6*t[2] - 
       2*t[3] - 38*t[4] - (39*t[5])/2 + (7*t[6])/2 + 35*t[7] + 99*t[8] - 
       (31*t[9])/2 + 44*t[10] - (57*t[11])/2 + (193*t[12])/2 - 
       (112*t[13])/9 + (45*t[14])/2 + (17*t[15])/4 - 4*t[25] + 32*t[26] - 
       8*t[31] - 28*t[38] - 8*t[40] + 16*t[46] + (41*t[48])/2 - 37*t[49] + 
       (9*t[50])/2 - (19*t[51])/2 - (9*t[52])/2 + 37*t[53] + (83*t[54])/2 + 
       20*t[59] - 99*t[60] + 117*t[61] - (235*t[62])/2 + (231*t[63])/2 + 
       (9*t[64])/2 - (13*t[65])/3 - (7*t[66])/3 - 4*t[67] + 4*t[69] - 
       4*t[70] + 4*t[71] + 28*t[72] - 8*t[74] - 64*t[76] - 12*t[77] + 
       80*t[78] - 32*t[80] - 20*t[81] + 52*t[82] - 3*t[84] - 71*t[85] + 
       93*t[87] + (93*t[88])/2 - (101*t[89])/2 - 384*t[98] + 480*t[99] + 
       60*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      ((-9*t[1])/4 + (151*t[2])/24 + (51*t[3])/8 + (67*t[4])/6 - 
       (273*t[5])/16 + (23*t[6])/4 - (413*t[7])/24 + (71*t[8])/12 - 
       (385*t[9])/48 - 16*t[10] - (275*t[11])/12 + (137*t[12])/48 - t[13]/8 - 
       (1441*t[14])/48 - (10355*t[15])/864 + 3*t[18] + 2*t[20] + 2*t[21] + 
       (5*t[22])/3 - 2*t[23] + 5*t[24] - (8*t[25])/3 + (8*t[26])/3 - 
       (2*t[27])/3 + t[28] - (4*t[29])/3 + (5*t[30])/6 + (11*t[31])/3 - 
       (5*t[32])/3 + (8*t[33])/3 - (9*t[34])/2 + 3*t[36] - t[37] + 
       (13*t[38])/6 - (5*t[39])/3 + (5*t[40])/2 + (7*t[41])/12 - t[42]/12 - 
       (13*t[43])/4 + (5*t[45])/8 + (11*t[46])/6 - t[47]/12 + (77*t[48])/24 - 
       (107*t[49])/12 + (19*t[50])/8 + (59*t[51])/12 - (125*t[52])/24 + 
       (107*t[53])/12 + (83*t[54])/24 + (8*t[58])/3 - 4*t[59] - 
       (91*t[60])/12 - (269*t[61])/4 + (925*t[62])/16 - (4915*t[63])/48 - 
       (977*t[64])/48 + (94*t[65])/3 + (875*t[66])/36 + (5*t[69])/3 - 
       t[70]/3 + t[71]/3 - (7*t[72])/3 + (5*t[73])/2 + (7*t[74])/2 - 
       (9*t[75])/2 - (19*t[76])/3 - (10*t[77])/3 + (23*t[78])/6 - 4*t[79] - 
       (89*t[80])/6 - (35*t[81])/6 - (19*t[82])/3 + 7*t[83] + (35*t[84])/12 - 
       (113*t[85])/12 - (41*t[86])/12 + (367*t[87])/12 + (367*t[88])/24 + 
       (245*t[89])/6 - (5*t[97])/3 - 46*t[98] + 54*t[99] + 62*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-7*t[1])/6 - (5*t[2])/6 - (109*t[3])/24 - (3*t[4])/4 - 
       (121*t[5])/48 + (101*t[6])/4 - (151*t[7])/8 + (1627*t[8])/24 - 
       (1483*t[9])/48 + (233*t[10])/12 - (5*t[11])/3 - (173*t[12])/48 + 
       (1945*t[13])/432 - (37*t[14])/24 + (1877*t[15])/288 - (2*t[18])/3 + 
       (2*t[20])/3 - (2*t[21])/3 + (28*t[22])/3 + (2*t[23])/3 - (2*t[24])/3 + 
       (10*t[25])/3 - (2*t[26])/3 + 2*t[27] - (2*t[29])/3 + (2*t[31])/3 + 
       (8*t[32])/3 - 2*t[33] - (38*t[34])/3 + 2*t[36] + (7*t[38])/3 + 
       2*t[39] - (4*t[40])/3 + (11*t[41])/6 - (13*t[42])/6 - (35*t[43])/12 - 
       t[44]/3 + (193*t[45])/12 + (7*t[46])/6 - (23*t[47])/2 + 
       (245*t[48])/24 - (57*t[49])/8 - (57*t[50])/8 + (17*t[51])/48 + 
       (283*t[52])/24 + (57*t[53])/8 + (113*t[54])/24 - t[58]/3 - 3*t[59] - 
       (79*t[60])/6 + (97*t[61])/12 + (35*t[62])/8 - (595*t[63])/8 + 
       (155*t[64])/8 + (277*t[65])/36 - (259*t[66])/36 + (4*t[70])/3 - 
       (4*t[71])/3 - (16*t[72])/3 + 4*t[73] - 4*t[75] - (52*t[76])/3 - 
       (2*t[77])/3 + (28*t[78])/3 - (119*t[80])/3 - (22*t[81])/3 - 
       (50*t[82])/3 - (22*t[83])/3 + (25*t[84])/6 - (77*t[85])/6 + 
       (61*t[86])/6 + (203*t[87])/6 + (203*t[88])/12 + (379*t[89])/12 - 
       (8*t[97])/3 - 104*t[98] + 112*t[99] + 63*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-7*t[1])/6 - (5*t[2])/6 - (109*t[3])/24 - (3*t[4])/4 - 
       (121*t[5])/48 + (101*t[6])/4 - (151*t[7])/8 + (1627*t[8])/24 - 
       (1483*t[9])/48 + (233*t[10])/12 - (5*t[11])/3 - (173*t[12])/48 + 
       (1945*t[13])/432 - (37*t[14])/24 + (1877*t[15])/288 - (2*t[18])/3 + 
       (2*t[20])/3 - (2*t[21])/3 + (28*t[22])/3 + (2*t[23])/3 - (2*t[24])/3 + 
       (10*t[25])/3 - (2*t[26])/3 + 2*t[27] - (2*t[29])/3 + (2*t[31])/3 + 
       (8*t[32])/3 - 2*t[33] - (38*t[34])/3 + 2*t[36] + (7*t[38])/3 + 
       2*t[39] - (4*t[40])/3 + (11*t[41])/6 - (13*t[42])/6 - (35*t[43])/12 - 
       t[44]/3 + (193*t[45])/12 + (7*t[46])/6 - (23*t[47])/2 + 
       (245*t[48])/24 - (57*t[49])/8 - (57*t[50])/8 + (17*t[51])/48 + 
       (283*t[52])/24 + (57*t[53])/8 + (113*t[54])/24 - t[58]/3 - 3*t[59] - 
       (79*t[60])/6 + (97*t[61])/12 + (35*t[62])/8 - (595*t[63])/8 + 
       (155*t[64])/8 + (277*t[65])/36 - (259*t[66])/36 + (4*t[70])/3 - 
       (4*t[71])/3 - (16*t[72])/3 + 4*t[73] - 4*t[75] - (52*t[76])/3 - 
       (2*t[77])/3 + (28*t[78])/3 - (119*t[80])/3 - (22*t[81])/3 - 
       (50*t[82])/3 - (22*t[83])/3 + (25*t[84])/6 - (77*t[85])/6 + 
       (61*t[86])/6 + (203*t[87])/6 + (203*t[88])/12 + (379*t[89])/12 - 
       (8*t[97])/3 - 104*t[98] + 112*t[99] + 63*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((23*t[1])/6 + (3*t[2])/2 + (337*t[3])/24 + (111*t[4])/4 - 
       (659*t[5])/48 + (317*t[6])/24 - (3*t[7])/4 - t[8]/2 + (73*t[9])/48 - 
       (169*t[10])/8 + 5*t[11] - (631*t[12])/48 + t[13]/108 - 
       (1919*t[14])/72 - (4507*t[15])/288 - (2*t[18])/3 - (2*t[20])/3 - 
       (2*t[21])/3 + (8*t[22])/3 + (2*t[23])/3 - (10*t[24])/3 - 2*t[25] + 
       2*t[26] - (10*t[27])/3 - 2*t[28] + (2*t[29])/3 - (8*t[32])/3 + 
       2*t[33] - (38*t[34])/3 + 2*t[36] + (7*t[38])/3 - 2*t[39] + 4*t[40] - 
       (19*t[41])/6 + (17*t[42])/6 - (169*t[43])/24 + (5*t[44])/3 + 
       (55*t[45])/6 - t[46]/2 + t[47] + (95*t[48])/8 - (85*t[49])/24 + 
       (13*t[50])/24 + (151*t[51])/48 - (29*t[52])/24 + (85*t[53])/24 - 
       (107*t[54])/24 + (7*t[58])/3 - 3*t[59] - (79*t[60])/6 + 
       (97*t[61])/12 + (35*t[62])/8 - (595*t[63])/8 + (155*t[64])/8 + 
       (277*t[65])/36 - (259*t[66])/36 + (4*t[70])/3 - (4*t[71])/3 - 
       (16*t[72])/3 + 4*t[73] - 4*t[75] - (52*t[76])/3 - (2*t[77])/3 + 
       (28*t[78])/3 - (119*t[80])/3 - (22*t[81])/3 - (50*t[82])/3 - 
       (22*t[83])/3 + (25*t[84])/6 - (77*t[85])/6 + (61*t[86])/6 + 
       (203*t[87])/6 + (203*t[88])/12 + (379*t[89])/12 - (8*t[97])/3 - 
       104*t[98] + 112*t[99] + 63*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*((23*t[1])/6 + (3*t[2])/2 + 
       (337*t[3])/24 + (111*t[4])/4 - (659*t[5])/48 + (317*t[6])/24 - 
       (3*t[7])/4 - t[8]/2 + (73*t[9])/48 - (169*t[10])/8 + 5*t[11] - 
       (631*t[12])/48 + t[13]/108 - (1919*t[14])/72 - (4507*t[15])/288 - 
       (2*t[18])/3 - (2*t[20])/3 - (2*t[21])/3 + (8*t[22])/3 + (2*t[23])/3 - 
       (10*t[24])/3 - 2*t[25] + 2*t[26] - (10*t[27])/3 - 2*t[28] + 
       (2*t[29])/3 - (8*t[32])/3 + 2*t[33] - (38*t[34])/3 + 2*t[36] + 
       (7*t[38])/3 - 2*t[39] + 4*t[40] - (19*t[41])/6 + (17*t[42])/6 - 
       (169*t[43])/24 + (5*t[44])/3 + (55*t[45])/6 - t[46]/2 + t[47] + 
       (95*t[48])/8 - (85*t[49])/24 + (13*t[50])/24 + (151*t[51])/48 - 
       (29*t[52])/24 + (85*t[53])/24 - (107*t[54])/24 + (7*t[58])/3 - 
       3*t[59] - (79*t[60])/6 + (97*t[61])/12 + (35*t[62])/8 - 
       (595*t[63])/8 + (155*t[64])/8 + (277*t[65])/36 - (259*t[66])/36 + 
       (4*t[70])/3 - (4*t[71])/3 - (16*t[72])/3 + 4*t[73] - 4*t[75] - 
       (52*t[76])/3 - (2*t[77])/3 + (28*t[78])/3 - (119*t[80])/3 - 
       (22*t[81])/3 - (50*t[82])/3 - (22*t[83])/3 + (25*t[84])/6 - 
       (77*t[85])/6 + (61*t[86])/6 + (203*t[87])/6 + (203*t[88])/12 + 
       (379*t[89])/12 - (8*t[97])/3 - 104*t[98] + 112*t[99] + 63*t[100]) + 
     HPL[{1}, 1 - v]^2*Qep[v, u, w]*((-56*t[1])/9 + (92*t[3])/3 + 
       (212*t[4])/3 - (212*t[5])/3 - 94*t[6] - (22*t[7])/3 + (34*t[8])/3 + 
       52*t[9] + (242*t[10])/3 - (226*t[11])/3 + 12*t[12] - (284*t[13])/27 - 
       (428*t[14])/9 - (469*t[15])/9 - (16*t[31])/3 - (110*t[43])/3 - 
       8*t[46] - (10*t[48])/3 + (56*t[49])/3 + (22*t[50])/3 - (10*t[51])/3 - 
       (22*t[52])/3 - (56*t[53])/3 - 2*t[54] + (104*t[59])/9 + (20*t[60])/3 - 
       (392*t[61])/3 - (232*t[62])/3 - (128*t[63])/3 - 136*t[64] + 72*t[65] + 
       (1192*t[66])/9 - 16*t[74] + (64*t[79])/3 - (208*t[80])/3 - 
       (8*t[81])/3 + (8*t[82])/3 + (64*t[83])/3 - (28*t[85])/3 + 
       (136*t[86])/3 - 12*t[87] - 6*t[88] - (94*t[89])/3 + 64*t[100]) + 
     HPL[{1}, 1 - w]^2*Qep[v, u, w]*((16*t[2])/3 - (148*t[3])/3 - 
       (268*t[4])/3 - (52*t[5])/3 - (244*t[6])/9 + 120*t[7] + (284*t[8])/3 + 
       (350*t[9])/3 + (190*t[10])/3 - (4*t[11])/3 + (166*t[12])/3 + 
       (50*t[13])/3 + (109*t[14])/3 - 4*t[15] - (16*t[18])/9 - (32*t[23])/3 - 
       (32*t[24])/3 - (32*t[31])/3 + 8*t[41] - (152*t[42])/9 - 
       (148*t[43])/3 + 44*t[45] - 8*t[47] - (8*t[48])/3 - (34*t[49])/3 + 
       (56*t[50])/3 + (17*t[51])/3 - (56*t[52])/3 + (34*t[53])/3 + 
       (44*t[54])/3 + (152*t[59])/9 - (68*t[60])/3 - (232*t[61])/3 - 
       192*t[62] - (344*t[63])/3 + (416*t[64])/3 + (824*t[65])/9 + 
       (232*t[66])/3 - (16*t[74])/3 + (64*t[79])/3 + (208*t[80])/3 - 
       8*t[81] + 8*t[82] + (64*t[83])/3 - 28*t[85] + (632*t[86])/3 + 
       28*t[87] + 14*t[88] - (58*t[89])/3 + 64*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      (3*t[1] + (197*t[2])/12 - (103*t[3])/24 - (1585*t[4])/24 + 
       (145*t[5])/24 + (2077*t[6])/48 + (7*t[7])/6 + (45*t[8])/2 - t[9]/6 + 
       (1643*t[10])/48 - (1477*t[11])/48 + (3089*t[12])/48 + 
       (4201*t[13])/216 + (4603*t[14])/96 - (1021*t[15])/216 + (5*t[16])/3 - 
       (5*t[17])/2 + 4*t[19] + 4*t[20] + 6*t[21] - 4*t[22] - 6*t[23] - 
       (8*t[24])/3 + 8*t[25] + (23*t[26])/3 + 4*t[27] + 8*t[28] - 
       (41*t[29])/6 + 7*t[30] + 12*t[31] - (14*t[32])/3 + (2*t[33])/3 - 
       (14*t[34])/3 - 8*t[35] + (22*t[36])/3 - 4*t[37] + 3*t[38] + 10*t[39] - 
       (5*t[40])/3 + 3*t[41] - (11*t[42])/3 + (71*t[43])/6 - (103*t[44])/12 - 
       29*t[45] + (3*t[46])/2 + (107*t[47])/3 + (235*t[48])/48 - 
       (1327*t[49])/48 - (539*t[50])/16 + (279*t[51])/32 + (603*t[52])/16 + 
       (1375*t[53])/48 + (2687*t[54])/48 + t[56] - 2*t[57] + t[58] + 
       (17*t[59])/6 + (535*t[60])/12 + (1391*t[61])/12 - (1391*t[62])/24 + 
       (5*t[63])/8 + (351*t[64])/8 - (125*t[65])/4 - (2551*t[66])/36 + 
       (2*t[67])/3 - (10*t[68])/3 + 8*t[69] + (4*t[70])/3 - (4*t[71])/3 - 
       20*t[72] - 8*t[73] - (4*t[74])/3 + 20*t[75] - (119*t[76])/3 + 
       (20*t[77])/3 + (91*t[78])/3 + 2*t[79] + (94*t[80])/3 - (5*t[81])/3 + 
       (7*t[82])/3 - 38*t[83] - (27*t[84])/4 - (205*t[85])/12 - 28*t[86] + 
       (205*t[87])/12 + (71*t[88])/8 + (421*t[89])/24 - (2*t[90])/3 + 
       (2*t[92])/3 - t[94]/3 - (7*t[97])/3 - 144*t[98] + 176*t[99] + 
       65*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-23*t[1])/6 - (173*t[2])/12 - 
       (131*t[3])/24 + (1291*t[4])/24 + (463*t[5])/24 + t[6]/48 - 
       (79*t[7])/6 + (224*t[8])/3 - (117*t[9])/4 - (1037*t[10])/48 + 
       (1417*t[11])/16 - (1123*t[12])/48 + (1255*t[13])/54 - 
       (5617*t[14])/96 + (59*t[15])/36 + t[16]/3 + (7*t[17])/6 - 
       (4*t[18])/3 - (10*t[19])/3 + 22*t[20] - (4*t[21])/3 - 22*t[22] + 
       (4*t[23])/3 + (16*t[24])/3 - (13*t[26])/3 - 12*t[27] + 4*t[28] + 
       (3*t[29])/2 + 3*t[30] - 10*t[31] + (4*t[32])/3 + (20*t[33])/3 - 
       11*t[34] - 4*t[35] - (10*t[36])/3 - 6*t[37] - (17*t[38])/3 - 
       (26*t[39])/3 + (14*t[40])/3 + t[41]/6 - (5*t[42])/6 + 7*t[43] - 
       (101*t[44])/12 + (118*t[45])/3 + (7*t[46])/6 - 28*t[47] + 
       (617*t[48])/16 + (339*t[49])/16 + (511*t[50])/48 - (439*t[51])/96 - 
       (431*t[52])/48 - (323*t[53])/16 - (699*t[54])/16 - 2*t[56] - 
       (14*t[57])/3 + (7*t[58])/3 + (17*t[59])/6 + (535*t[60])/12 + 
       (1391*t[61])/12 - (1391*t[62])/24 + (5*t[63])/8 + (351*t[64])/8 - 
       (125*t[65])/4 - (2551*t[66])/36 + (2*t[67])/3 - (10*t[68])/3 + 
       8*t[69] + (4*t[70])/3 - (4*t[71])/3 - 20*t[72] - 8*t[73] - 
       (4*t[74])/3 + 20*t[75] - (119*t[76])/3 + (20*t[77])/3 + (91*t[78])/3 + 
       2*t[79] + (94*t[80])/3 - (5*t[81])/3 + (7*t[82])/3 - 38*t[83] - 
       (27*t[84])/4 - (205*t[85])/12 - 28*t[86] + (205*t[87])/12 + 
       (71*t[88])/8 + (421*t[89])/24 - (2*t[90])/3 + (2*t[92])/3 - t[94]/3 - 
       (7*t[97])/3 - 144*t[98] + 176*t[99] + 65*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((37*t[1])/72 + (199*t[2])/144 + (10775*t[3])/576 + (7183*t[4])/144 + 
       (1129*t[5])/384 + (11645*t[6])/576 - (13913*t[7])/192 - 
       (35351*t[8])/576 - (100247*t[9])/1152 - (32671*t[10])/576 - 
       (38797*t[11])/576 - (58483*t[12])/1152 - (134447*t[13])/3456 - 
       (173035*t[14])/3456 - (73303*t[15])/6912 - (5*t[17])/8 - 
       (16*t[18])/9 + 2*t[19] - (7*t[20])/9 - (53*t[21])/18 + (109*t[22])/9 + 
       (61*t[23])/12 + (8*t[24])/3 - 2*t[25] + 2*t[26] - (7*t[27])/18 + 
       2*t[28] - (83*t[29])/36 - (7*t[30])/6 + (101*t[31])/9 - (40*t[32])/9 + 
       (19*t[33])/6 - (541*t[34])/36 + 9*t[35] + (19*t[36])/12 + 2*t[37] + 
       (31*t[38])/18 - (7*t[39])/6 + (22*t[40])/3 - (33*t[41])/8 + 
       (113*t[42])/18 + (1397*t[43])/144 + (13*t[44])/9 - (2681*t[45])/288 + 
       t[46]/2 - (35*t[47])/144 + (2273*t[48])/288 - (89*t[49])/48 - 
       (1357*t[50])/96 + (23*t[51])/32 + (3583*t[52])/288 + (89*t[53])/48 + 
       (1907*t[54])/288 - (7*t[58])/36 - (161*t[59])/36 - (119*t[60])/3 - 
       (2803*t[61])/32 + (91889*t[62])/576 + (5605*t[63])/192 - 
       (10633*t[64])/576 - (6859*t[65])/96 + (45311*t[66])/288 - 
       (13*t[69])/6 + (121*t[70])/18 - (121*t[71])/18 + (29*t[72])/18 - 
       (19*t[73])/12 + (53*t[74])/3 + (31*t[75])/12 - (575*t[76])/36 - 
       (73*t[77])/36 + (281*t[78])/36 - (89*t[79])/4 - (1895*t[80])/72 - 
       (125*t[81])/9 + (113*t[82])/36 - (61*t[83])/6 - (47*t[84])/36 - 
       (227*t[85])/36 - (3953*t[86])/48 + (461*t[87])/12 + (461*t[88])/24 + 
       (3617*t[89])/144 - t[94]/4 - (43*t[97])/36 - (280*t[98])/3 + 
       87*t[99] + (391*t[100])/6) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((5*t[1])/8 - t[2]/8 - 
       (35*t[3])/16 - (261*t[4])/8 + (559*t[5])/32 - (9*t[6])/16 - 
       (283*t[7])/8 + (67*t[8])/4 - (1837*t[9])/32 + (823*t[10])/16 - 
       (343*t[11])/8 - (433*t[12])/32 - (1339*t[13])/48 - (425*t[14])/48 + 
       (10177*t[15])/576 - 2*t[18] - (3*t[20])/2 - (7*t[21])/2 + 
       (15*t[22])/2 + (7*t[23])/2 - 2*t[24] - 2*t[25] + (9*t[26])/4 + 
       (7*t[27])/2 - t[28]/2 - 3*t[29] + (3*t[30])/2 - t[31]/2 - t[32]/2 + 
       t[33]/2 - (33*t[34])/4 + t[38]/2 - t[39] + (5*t[40])/2 + t[41]/8 - 
       (15*t[42])/8 + (77*t[43])/16 + t[44]/2 + 14*t[45] + (7*t[46])/4 - 
       (109*t[47])/4 + (79*t[48])/16 - (99*t[49])/16 - (101*t[50])/16 + 
       (61*t[51])/32 + (97*t[52])/16 + (99*t[53])/16 + (151*t[54])/16 - 
       (3*t[58])/4 + (39*t[59])/8 - (473*t[60])/8 - (105*t[61])/4 + 
       (153*t[62])/4 + 14*t[63] - (439*t[64])/8 - (79*t[65])/12 + 
       (913*t[66])/12 + 4*t[70] - 4*t[71] - t[72] - 7*t[73] + 4*t[74] + 
       5*t[75] - 8*t[76] + 9*t[77] + (7*t[78])/4 - 2*t[79] - 22*t[80] - 
       (31*t[81])/4 + (7*t[82])/4 + 12*t[83] - (49*t[84])/8 - (63*t[85])/8 - 
       (157*t[86])/4 + (361*t[87])/8 + (365*t[88])/16 - (41*t[89])/16 - 
       (3*t[97])/4 - 54*t[98] + 46*t[99] + (133*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((7*t[1])/4 + (153*t[2])/8 + (371*t[3])/16 + (61*t[4])/4 - 
       (211*t[5])/32 - (107*t[6])/16 - (207*t[7])/16 - (535*t[8])/16 - 
       (425*t[9])/32 + t[10]/16 - (247*t[11])/16 - (161*t[12])/32 - 
       (4283*t[13])/288 - (1141*t[14])/32 - (2191*t[15])/576 - 2*t[18] + 
       t[20]/2 - 2*t[21] - 2*t[22] + 2*t[23] - 2*t[24] - (7*t[25])/2 + 
       (11*t[26])/4 + 2*t[27] + t[28]/2 - 3*t[29] + t[30] - (3*t[31])/2 + 
       (5*t[32])/2 - 2*t[33] - 5*t[34] - 2*t[37] + t[38] + (3*t[39])/2 - 
       (11*t[40])/4 + t[41] - 2*t[42] + (5*t[43])/8 + 2*t[44] - (9*t[45])/8 + 
       (3*t[46])/4 - (29*t[47])/4 - (7*t[48])/8 - 5*t[49] + (85*t[50])/8 + 
       (19*t[51])/16 - (49*t[52])/8 + 5*t[53] - (71*t[54])/8 - t[58]/4 + 
       (39*t[59])/8 - (473*t[60])/8 - (105*t[61])/4 + (153*t[62])/4 + 
       14*t[63] - (439*t[64])/8 - (79*t[65])/12 + (913*t[66])/12 + 4*t[70] - 
       4*t[71] - t[72] - 7*t[73] + 4*t[74] + 5*t[75] - 8*t[76] + 9*t[77] + 
       (7*t[78])/4 - 2*t[79] - 22*t[80] - (31*t[81])/4 + (7*t[82])/4 + 
       12*t[83] - (49*t[84])/8 - (63*t[85])/8 - (157*t[86])/4 + 
       (361*t[87])/8 + (365*t[88])/16 - (41*t[89])/16 - (3*t[97])/4 - 
       54*t[98] + 46*t[99] + (133*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*((7*t[1])/2 - 3*t[2] - (35*t[3])/8 - 
       2*t[4] - (21*t[5])/16 + 7*t[6] - (83*t[7])/4 + 43*t[8] - 
       (525*t[9])/16 - (7*t[10])/2 - (39*t[11])/8 - (251*t[12])/16 - 
       (15*t[13])/8 - (119*t[14])/16 + (2533*t[15])/288 + 6*t[22] - 2*t[24] + 
       2*t[25] + 2*t[27] - t[29] - 2*t[31] + t[32] - t[33] - 9*t[34] + 
       3*t[36] + 2*t[38] + t[39] + t[41]/2 - t[42]/2 + (7*t[43])/8 + 
       9*t[45] + (5*t[46])/2 - 10*t[47] + (39*t[48])/4 - 8*t[49] - 
       (19*t[50])/4 + (11*t[51])/8 + (31*t[52])/4 + 8*t[53] + (13*t[54])/4 - 
       3*t[59] - (51*t[60])/2 - (151*t[61])/4 + (99*t[62])/4 - 
       (337*t[63])/4 + (249*t[64])/8 + (163*t[65])/12 + (121*t[66])/12 - 
       2*t[69] - 2*t[70] + 2*t[71] - 4*t[72] + 4*t[73] + 2*t[74] - 5*t[75] - 
       12*t[76] - 2*t[77] + 6*t[78] - 2*t[79] - 14*t[80] - (13*t[81])/2 - 
       (23*t[82])/2 + 2*t[83] + (5*t[84])/4 - (27*t[85])/2 + (39*t[86])/2 + 
       39*t[87] + (39*t[88])/2 + (57*t[89])/2 - 2*t[97] - 72*t[98] + 
       78*t[99] + 67*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((32*t[1])/3 + (287*t[2])/24 + 
       (53*t[3])/2 - (7*t[4])/8 + (157*t[5])/6 + (205*t[6])/6 - 
       (1541*t[7])/48 - (361*t[8])/16 - (777*t[9])/16 - (1135*t[10])/24 + 
       (43*t[11])/48 - (1523*t[12])/48 - (7037*t[13])/864 - 
       (13679*t[14])/288 + (185*t[15])/288 - (3*t[16])/2 - t[17]/4 - 
       t[18]/3 + (2*t[20])/3 - t[21]/3 + (4*t[22])/3 + t[23]/3 + t[24]/3 - 
       (7*t[25])/2 - (5*t[26])/2 - (19*t[27])/6 - 2*t[28] + t[29]/3 - t[30] - 
       2*t[31] - (4*t[32])/3 + 2*t[33] - (41*t[34])/6 - 11*t[35] - t[36] - 
       2*t[37] + (20*t[38])/3 - 5*t[39] + t[40]/2 - (8*t[41])/3 + 
       (5*t[42])/2 + (69*t[43])/16 - (7*t[44])/6 - (119*t[45])/24 + 
       (11*t[46])/6 - (29*t[47])/12 + (175*t[48])/16 + (133*t[49])/16 + 
       (149*t[50])/48 - (61*t[51])/32 + t[52]/16 - (109*t[53])/16 - 
       (415*t[54])/48 + (13*t[58])/6 + 4*t[59] - (97*t[60])/8 - 
       (251*t[61])/24 + (5191*t[62])/48 - (215*t[63])/48 - (349*t[64])/16 - 
       (315*t[65])/8 - (295*t[66])/72 + t[67]/2 + (5*t[68])/2 + 2*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 - (65*t[72])/3 + 4*t[73] + (25*t[74])/3 - 
       3*t[75] - (49*t[76])/6 + (29*t[77])/3 + (20*t[78])/3 + 12*t[79] + 
       8*t[80] - (17*t[81])/6 - (26*t[82])/3 - (125*t[84])/8 + 
       (61*t[85])/24 - (677*t[86])/6 + (203*t[87])/8 + (211*t[88])/16 + 
       (89*t[89])/48 - t[90]/2 + t[92]/2 - 2*t[93] - t[94]/2 - (7*t[97])/3 - 
       52*t[98] + 58*t[99] + 68*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v]*(-t[1]/2 - (17*t[2])/4 + (81*t[3])/8 + (47*t[4])/4 - 
       (43*t[5])/16 + (105*t[6])/8 - (159*t[7])/8 - (15*t[8])/8 - 
       (341*t[9])/16 - 14*t[10] - (211*t[11])/8 - (111*t[12])/16 - 
       (589*t[13])/48 - (959*t[14])/24 - (4543*t[15])/288 + 2*t[22] - 
       2*t[25] + 2*t[26] - 2*t[27] - t[28] + t[29] + 3*t[31] - 3*t[32] + 
       3*t[33] - 9*t[34] + 3*t[36] + t[37] + 2*t[38] - 3*t[39] + 4*t[40] - 
       t[41] + t[42] - (9*t[43])/2 + t[44] + (21*t[45])/4 - t[46]/2 - 
       (3*t[47])/2 + (41*t[48])/4 - (39*t[49])/8 - (13*t[50])/4 + 
       (53*t[51])/16 + (9*t[52])/4 + (39*t[53])/8 + (9*t[54])/2 + 2*t[58] - 
       3*t[59] - 14*t[60] - (209*t[61])/4 + 50*t[62] - (125*t[63])/2 + 
       (307*t[64])/8 + (21*t[65])/4 + (207*t[66])/4 + 2*t[69] + 2*t[70] - 
       2*t[71] - 4*t[72] + 4*t[73] + 2*t[74] - 3*t[75] - 12*t[76] - 2*t[77] + 
       6*t[78] + 2*t[79] - 32*t[80] - (15*t[81])/2 - (13*t[82])/2 - 
       12*t[83] + (9*t[84])/4 - 10*t[85] - (17*t[86])/2 + (55*t[87])/2 + 
       (55*t[88])/4 + (129*t[89])/4 - 2*t[97] - 72*t[98] + 70*t[99] + 
       68*t[100]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*
      ((1417*t[1])/72 - (479*t[2])/144 + (1285*t[3])/288 - (763*t[4])/16 + 
       (2389*t[5])/576 - (785*t[6])/12 + (525*t[7])/8 - (3149*t[8])/144 + 
       (23521*t[9])/576 - (18193*t[10])/288 + (20359*t[11])/288 + 
       (8405*t[12])/576 - (17279*t[13])/2592 - (4609*t[14])/288 - 
       (12163*t[15])/3456 - t[16]/4 - t[17]/4 + (38*t[18])/9 - 2*t[19] - 
       (77*t[20])/9 + (56*t[21])/9 - (109*t[22])/9 - (56*t[23])/9 - 
       (301*t[24])/36 - (37*t[25])/9 + (607*t[26])/72 + (13*t[27])/3 + 
       2*t[28] - (49*t[29])/36 + (2*t[30])/3 - (235*t[31])/18 - 
       (83*t[32])/36 - 7*t[33] + (205*t[34])/18 - 2*t[35] - (31*t[36])/6 - 
       2*t[37] + (137*t[38])/36 + 10*t[39] + (55*t[40])/36 + (17*t[41])/9 + 
       (71*t[42])/36 + (2383*t[43])/288 + (437*t[44])/72 - (1631*t[45])/72 + 
       (947*t[46])/72 + (51*t[47])/2 - (11*t[48])/72 - (1831*t[49])/96 + 
       (26*t[50])/3 + (1441*t[51])/576 - (149*t[52])/9 + (1735*t[53])/96 - 
       (529*t[54])/144 - 3*t[57] + (179*t[58])/72 - (43*t[59])/12 - 
       (3185*t[60])/72 - (11539*t[61])/144 - (6253*t[62])/96 - 
       (9419*t[63])/96 + (22445*t[64])/96 + (11093*t[65])/108 - 
       (3553*t[66])/216 + (3*t[67])/4 + t[68]/2 - (31*t[69])/3 - 
       (151*t[70])/9 + (151*t[71])/9 - (13*t[72])/18 + (3*t[73])/2 + 
       (43*t[74])/2 - (25*t[75])/2 + (1697*t[76])/72 - (283*t[77])/36 - 
       (2237*t[78])/72 + 4*t[79] + (4247*t[80])/36 - (625*t[81])/72 + 
       (2599*t[82])/72 + (184*t[83])/9 - (1403*t[84])/144 - (437*t[85])/36 + 
       (7841*t[86])/72 + (380*t[87])/9 + (190*t[88])/9 + (1915*t[89])/72 - 
       t[90]/4 + t[92]/2 - 2*t[93] - (3*t[94])/4 + (41*t[97])/36 + 
       (302*t[98])/3 - 156*t[99] + (141*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      (t[1]/3 - (71*t[2])/6 + (395*t[3])/24 + (55*t[4])/4 + (1091*t[5])/48 - 
       (3*t[6])/2 - (331*t[7])/4 + (20*t[8])/3 - (4957*t[9])/48 + 
       (715*t[10])/24 - (1291*t[11])/24 - (1901*t[12])/48 - 
       (2105*t[13])/108 - (445*t[14])/8 + (1043*t[15])/288 - (8*t[18])/3 + 
       (2*t[20])/3 - (11*t[21])/3 + (28*t[22])/3 + (11*t[23])/3 - 
       (14*t[24])/3 + (4*t[25])/3 - (2*t[26])/3 + 2*t[27] - t[28] + 
       (4*t[29])/3 - (4*t[31])/3 + (2*t[32])/3 - (53*t[34])/3 + 4*t[35] + 
       2*t[36] + t[37] + (10*t[38])/3 + (19*t[40])/6 - (2*t[41])/3 - 
       (2*t[42])/3 + (65*t[43])/24 - t[44]/3 + (49*t[45])/3 + (2*t[46])/3 - 
       (49*t[47])/2 + (115*t[48])/12 - (33*t[49])/8 - (49*t[50])/4 + 
       (83*t[51])/48 + (143*t[52])/12 + (33*t[53])/8 - (7*t[54])/6 - 
       (4*t[58])/3 - (7*t[59])/4 - (623*t[60])/12 - (389*t[61])/3 + 
       (829*t[62])/8 - (385*t[63])/8 + (57*t[64])/2 - (1337*t[65])/36 + 
       (2047*t[66])/18 - t[69] + (10*t[70])/3 - (10*t[71])/3 - (10*t[72])/3 + 
       4*t[73] + 4*t[74] - 4*t[75] - (89*t[76])/6 - (7*t[77])/6 + 
       (13*t[78])/3 + 4*t[79] - (110*t[80])/3 - (59*t[81])/6 - (49*t[82])/6 - 
       (35*t[83])/6 - (11*t[84])/6 - (34*t[85])/3 - (125*t[86])/6 + 
       (251*t[87])/6 + (251*t[88])/12 + (335*t[89])/24 - (13*t[97])/6 - 
       80*t[98] + 72*t[99] + (141*t[100])/2) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*(-t[1] + 3*t[2] - 
       (63*t[3])/4 - (93*t[4])/4 - (215*t[5])/4 - (439*t[6])/8 + 99*t[7] + 
       (93*t[8])/2 + 97*t[9] + (167*t[10])/8 + (271*t[11])/8 + 
       (545*t[12])/8 + (1189*t[13])/24 + (455*t[14])/16 - (541*t[15])/24 + 
       3*t[16] + t[17]/2 + 2*t[18] + 2*t[21] + t[22]/2 - 2*t[23] + 2*t[24] - 
       t[25] + 4*t[26] + 5*t[27] + 8*t[28] + 2*t[31] + t[32] - t[33] + 
       6*t[34] + 6*t[36] - t[38] + 5*t[39] - (5*t[40])/2 + 3*t[41] - 
       2*t[42] - 16*t[43] + t[44] + (29*t[45])/2 - (17*t[46])/2 + 
       (37*t[47])/2 - (135*t[48])/8 - (143*t[49])/8 + (65*t[50])/8 + 
       (229*t[51])/16 - (61*t[52])/8 + (143*t[53])/8 + (117*t[54])/8 - 
       (29*t[59])/4 - (25*t[60])/4 + 6*t[61] - (2543*t[62])/8 - 
       (1253*t[63])/8 + (1533*t[64])/8 + (755*t[65])/4 - (1481*t[66])/12 - 
       t[67] - 5*t[68] - 4*t[70] + 4*t[71] + 32*t[72] - 30*t[74] + 
       (15*t[76])/2 - t[77] - 6*t[78] - 32*t[80] + (13*t[81])/2 - 
       (5*t[82])/2 + 7*t[83] + (127*t[84])/4 - (39*t[85])/4 + 304*t[86] + 
       (67*t[87])/4 + (67*t[88])/8 + (559*t[89])/8 + t[90] - t[92] + 
       4*t[93] + t[94] + t[97]/2 + 48*t[98] - 60*t[99] + 71*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((31*t[1])/4 + (11*t[2])/4 - 20*t[3] - (41*t[4])/2 - (227*t[5])/4 - 
       (95*t[6])/2 + (265*t[7])/2 + 94*t[8] + 115*t[9] + 15*t[10] + 
       (153*t[11])/4 + (21*t[12])/4 + (943*t[13])/24 + (21*t[14])/8 - 
       (110*t[15])/3 + t[16] + (3*t[17])/2 + 2*t[18] + 2*t[21] - 2*t[22] - 
       2*t[23] - 4*t[24] - 5*t[25] - t[26]/2 - 3*t[27] - 38*t[31] - t[32] - 
       9*t[33] + (5*t[34])/2 + 2*t[36] + 6*t[38] + 5*t[39] + 6*t[40] - 
       t[41] + (5*t[42])/4 - (55*t[43])/2 + t[44] + (33*t[45])/2 - 
       (13*t[46])/2 + 17*t[47] + (55*t[48])/2 + 22*t[49] + (81*t[50])/2 - 
       (47*t[51])/8 - 47*t[52] - 22*t[53] - 19*t[54] - 2*t[56] - t[58]/2 - 
       (29*t[59])/4 - (25*t[60])/4 + 6*t[61] - (2543*t[62])/8 - 
       (1253*t[63])/8 + (1533*t[64])/8 + (755*t[65])/4 - (1481*t[66])/12 - 
       t[67] - 5*t[68] - 4*t[70] + 4*t[71] + 32*t[72] - 30*t[74] + 
       (15*t[76])/2 - t[77] - 6*t[78] - 32*t[80] + (13*t[81])/2 - 
       (5*t[82])/2 + 7*t[83] + (127*t[84])/4 - (39*t[85])/4 + 304*t[86] + 
       (67*t[87])/4 + (67*t[88])/8 + (559*t[89])/8 + t[90] - t[92] + 
       4*t[93] + t[94] + t[97]/2 + 48*t[98] - 60*t[99] + 71*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*(-12*t[2] + (9*t[3])/4 - 
       (81*t[4])/2 + (549*t[5])/8 + 18*t[6] + 3*t[7] + 39*t[8] - 
       (291*t[9])/8 + (207*t[10])/4 + 3*t[11] - (39*t[12])/8 + 
       (595*t[13])/24 - (73*t[14])/4 + (239*t[15])/16 - 12*t[28] + 6*t[30] - 
       6*t[39] - (3*t[43])/4 + 6*t[44] - (15*t[45])/2 + 15*t[47] - 
       (3*t[48])/4 + (45*t[49])/4 + (21*t[50])/4 - (9*t[51])/8 - 
       (21*t[52])/4 - (45*t[53])/4 - (63*t[54])/4 - (51*t[60])/2 - 33*t[61] - 
       (39*t[62])/4 + (3*t[63])/4 + (249*t[64])/4 + 9*t[65] + 13*t[66] - 
       9*t[72] - 3*t[77] + 54*t[80] + 18*t[83] - (21*t[84])/2 + (3*t[85])/2 + 
       24*t[86] + (33*t[87])/2 + (33*t[88])/4 - (75*t[89])/4 + 72*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((87*t[3])/4 + (21*t[4])/2 - (429*t[5])/8 - 45*t[6] - 12*t[7] - 
       36*t[8] + (231*t[9])/8 - 54*t[10] - (33*t[11])/4 + (237*t[12])/8 - 
       (173*t[13])/6 - (245*t[14])/8 - (479*t[15])/16 - 6*t[28] + 6*t[30] - 
       6*t[39] + 3*t[40] - (57*t[43])/4 - (27*t[45])/2 + 27*t[47] - 9*t[48] - 
       9*t[49] + 3*t[50] - (3*t[51])/2 - 3*t[52] + 9*t[53] + 6*t[54] - 
       (51*t[60])/2 - 33*t[61] - (39*t[62])/4 + (3*t[63])/4 + (249*t[64])/4 + 
       9*t[65] + 13*t[66] - 9*t[72] - 3*t[77] + 54*t[80] + 18*t[83] - 
       (21*t[84])/2 + (3*t[85])/2 + 24*t[86] + (33*t[87])/2 + (33*t[88])/4 - 
       (75*t[89])/4 + 72*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-7*t[1])/4 - (21*t[2])/4 - (27*t[3])/4 - 
       (33*t[4])/8 - (91*t[5])/8 + (433*t[6])/16 - (121*t[7])/4 + 
       (363*t[8])/8 + (39*t[9])/8 + (57*t[10])/16 - 50*t[11] - 
       (255*t[12])/16 - (1471*t[13])/288 - (803*t[14])/96 + (215*t[15])/72 - 
       2*t[19] + 2*t[20] + 2*t[21] + (9*t[22])/2 - t[23] + 2*t[27] + 
       3*t[28] + t[29] + t[30]/2 + t[31] - t[32]/2 + t[33]/2 - t[34] - 
       2*t[35] + 2*t[37] - t[38]/2 - (5*t[39])/2 + (5*t[40])/4 - 
       (7*t[41])/2 + 3*t[42] - t[43] - 3*t[44] + (41*t[45])/8 - 
       (35*t[47])/4 + (37*t[48])/2 - (91*t[49])/16 - (3*t[50])/2 + 
       (143*t[51])/32 + (5*t[52])/2 - (5*t[53])/16 + (141*t[54])/8 + 
       t[56]/4 + t[57] - (9*t[59])/4 + (129*t[60])/8 - (575*t[61])/8 + 
       (579*t[62])/8 - (217*t[63])/8 - (203*t[64])/8 + (1123*t[65])/24 + 
       (517*t[66])/8 - (9*t[72])/2 + 4*t[73] - 6*t[75] - (17*t[76])/2 + 
       4*t[77] + (43*t[78])/2 - 6*t[79] - (21*t[80])/2 + (9*t[81])/2 - 
       (19*t[82])/2 - (3*t[83])/2 + (139*t[84])/8 + (209*t[85])/8 - 
       (27*t[86])/4 + (67*t[87])/8 + (75*t[88])/16 + (611*t[89])/16 - 
       9*t[96] - (11*t[97])/2 - 30*t[98] + 26*t[99] + 72*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-29*t[1])/4 + (19*t[2])/4 + (39*t[3])/8 + (57*t[4])/8 - 
       (223*t[5])/8 + (25*t[6])/8 - (331*t[7])/16 - (539*t[8])/16 + 
       (199*t[9])/16 - (333*t[10])/16 - (543*t[11])/16 + (37*t[12])/4 + 
       (187*t[13])/288 - (781*t[14])/24 - (2753*t[15])/288 - t[23]/2 + 
       (7*t[26])/2 + 6*t[28] - 3*t[29] + (3*t[30])/2 + 3*t[31] - t[32]/2 + 
       t[33]/2 + 2*t[34] - 3*t[35] - 2*t[36] - 3*t[37] - (9*t[38])/2 - 
       2*t[39] + t[40] - t[41] + t[42] - (59*t[43])/16 + 8*t[44] - 
       (5*t[45])/4 + 2*t[46] + (3*t[47])/2 - (139*t[48])/16 - (33*t[49])/8 + 
       (73*t[50])/16 + (17*t[51])/16 - (9*t[52])/16 + t[53]/8 - 
       (37*t[54])/16 + t[58]/2 - (9*t[59])/4 + (129*t[60])/8 - 
       (575*t[61])/8 + (579*t[62])/8 - (217*t[63])/8 - (203*t[64])/8 + 
       (1123*t[65])/24 + (517*t[66])/8 - (9*t[72])/2 + 4*t[73] - 6*t[75] - 
       (17*t[76])/2 + 4*t[77] + (43*t[78])/2 - 6*t[79] - (21*t[80])/2 + 
       (9*t[81])/2 - (19*t[82])/2 - (3*t[83])/2 + (139*t[84])/8 + 
       (209*t[85])/8 - (27*t[86])/4 + (67*t[87])/8 + (75*t[88])/16 + 
       (611*t[89])/16 - 9*t[96] - (11*t[97])/2 - 30*t[98] + 26*t[99] + 
       72*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2*
      ((-37*t[1])/6 + t[2] + (79*t[3])/8 + (127*t[4])/4 - (905*t[5])/16 - 
       (299*t[6])/8 + (183*t[7])/4 - (231*t[8])/4 + (1063*t[9])/16 - 
       (579*t[10])/8 + (205*t[11])/8 + (355*t[12])/16 + (1901*t[13])/144 - 
       (97*t[14])/24 - (2893*t[15])/96 + 2*t[18] + 2*t[21] - 4*t[22] - 
       2*t[23] + 2*t[24] + 2*t[25] - (5*t[26])/2 - 2*t[27] - 4*t[28] - 
       3*t[29] + 4*t[30] + 10*t[31] - t[32] + t[33] + 3*t[34] + 16*t[35] + 
       4*t[37] + t[38] - 5*t[39] + (7*t[40])/2 + t[42] - (85*t[43])/8 + 
       (11*t[44])/2 - (37*t[45])/4 - t[46]/2 + 24*t[47] - (89*t[48])/4 + 
       (31*t[49])/8 + (23*t[50])/4 - (13*t[51])/16 - (37*t[52])/4 - 
       (31*t[53])/8 - (13*t[54])/2 + t[58]/2 - (16*t[59])/3 + (115*t[60])/8 + 
       (141*t[61])/8 - (1381*t[62])/16 + (129*t[63])/16 + (873*t[64])/16 + 
       (455*t[65])/12 - (365*t[66])/4 - (5*t[67])/4 + t[69] + 2*t[70] - 
       2*t[71] - 6*t[72] - (5*t[74])/2 + (11*t[76])/2 - 4*t[77] - 9*t[79] + 
       22*t[80] - (5*t[81])/4 + (11*t[82])/4 + 29*t[83] - (27*t[84])/4 + 
       (161*t[85])/8 + 57*t[86] - (53*t[87])/8 - (53*t[88])/16 + 
       (39*t[89])/16 + t[94]/2 + 24*t[98] - 12*t[99] + 75*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]^2*(t[1]/2 - (29*t[2])/4 - 
       (71*t[3])/8 - (483*t[4])/8 + (813*t[5])/16 + (773*t[6])/48 + 
       (93*t[7])/2 + (203*t[8])/4 + (53*t[9])/16 - (307*t[10])/16 + 
       (415*t[11])/16 + (75*t[12])/8 + (181*t[13])/9 + (331*t[14])/32 + 
       (217*t[15])/32 + (2*t[18])/3 - 2*t[19] - 4*t[21] + t[22] + 5*t[23] - 
       (3*t[24])/2 + 2*t[25] - 2*t[26] - 2*t[27] - 8*t[28] + 4*t[30] + 
       7*t[31] + t[32] - t[33] + (13*t[34])/2 + 4*t[35] + 4*t[37] - 3*t[39] - 
       (5*t[40])/2 - 4*t[41] + (13*t[42])/3 - (19*t[43])/8 + 3*t[44] - 
       (9*t[45])/4 - (3*t[46])/4 + 18*t[47] - (101*t[48])/16 + 
       (83*t[49])/16 + (107*t[50])/16 - (93*t[51])/32 - (99*t[52])/16 - 
       (83*t[53])/16 - (153*t[54])/16 + t[58] - (16*t[59])/3 + 
       (115*t[60])/8 + (141*t[61])/8 - (1381*t[62])/16 + (129*t[63])/16 + 
       (873*t[64])/16 + (455*t[65])/12 - (365*t[66])/4 - (5*t[67])/4 + 
       t[69] + 2*t[70] - 2*t[71] - 6*t[72] - (5*t[74])/2 + (11*t[76])/2 - 
       4*t[77] - 9*t[79] + 22*t[80] - (5*t[81])/4 + (11*t[82])/4 + 29*t[83] - 
       (27*t[84])/4 + (161*t[85])/8 + 57*t[86] - (53*t[87])/8 - 
       (53*t[88])/16 + (39*t[89])/16 + t[94]/2 + 24*t[98] - 12*t[99] + 
       75*t[100]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      ((47*t[1])/9 - (65*t[2])/9 - (257*t[3])/288 - (61*t[4])/12 - 
       (77*t[5])/576 - (205*t[6])/48 - (69*t[7])/8 + (1699*t[8])/144 - 
       (5261*t[9])/576 + (11*t[10])/72 - (581*t[11])/288 - (4159*t[12])/576 - 
       (38399*t[13])/2592 - (8371*t[14])/576 + (529*t[15])/128 - 
       (7*t[18])/9 - 2*t[19] - (11*t[20])/9 - (7*t[21])/9 + (14*t[22])/9 + 
       (7*t[23])/9 - (40*t[24])/9 - (4*t[25])/9 + (11*t[26])/9 + 2*t[27] + 
       t[29]/18 - (5*t[30])/6 - (37*t[31])/18 + (7*t[32])/9 - 2*t[33] - 
       (41*t[34])/18 + (5*t[36])/6 + (25*t[38])/18 + 2*t[39] - (7*t[40])/18 - 
       (49*t[41])/36 + (71*t[42])/36 + (511*t[43])/288 + (11*t[44])/18 + 
       (191*t[45])/36 + (89*t[46])/18 - (49*t[47])/6 + (349*t[48])/72 - 
       (379*t[49])/48 - (3*t[50])/8 + (245*t[51])/288 + (23*t[52])/72 + 
       (379*t[53])/48 - (16*t[54])/9 + (11*t[58])/18 - (9*t[59])/4 - 
       (1265*t[60])/72 - (9037*t[61])/144 + (2987*t[62])/96 - 
       (5491*t[63])/96 + (1367*t[64])/32 + (9947*t[65])/432 + 
       (18079*t[66])/432 + t[69]/3 - (19*t[70])/9 + (19*t[71])/9 - 
       (14*t[72])/9 + (4*t[73])/3 + (17*t[74])/6 - (4*t[75])/3 - 
       (61*t[76])/18 - (23*t[77])/18 + (19*t[78])/18 - (109*t[80])/36 - 
       (185*t[81])/36 + (77*t[82])/36 - (8*t[83])/9 - (77*t[84])/36 - 
       (541*t[85])/72 + (239*t[86])/72 + (1777*t[87])/72 + (1777*t[88])/144 + 
       (3575*t[89])/144 - (7*t[97])/9 - (82*t[98])/3 + 20*t[99] + 
       78*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-11*t[1])/8 + (15*t[2])/4 - 35*t[3] - 
       (7*t[4])/4 - (1227*t[5])/16 + (765*t[6])/16 + (1709*t[7])/16 - 
       (801*t[8])/16 + (1141*t[9])/8 + (299*t[10])/16 - (379*t[11])/8 + 
       (1135*t[12])/16 - (3757*t[13])/96 + (631*t[14])/8 - (39*t[15])/2 - 
       6*t[22] + 6*t[24] - 6*t[25] + (33*t[26])/4 - 6*t[29] + 15*t[31] + 
       (9*t[32])/2 - (9*t[33])/2 + (77*t[34])/4 + 4*t[35] - 6*t[36] + 
       4*t[37] - 9*t[38] + (9*t[39])/2 - (63*t[40])/4 - (21*t[41])/8 + 
       (21*t[42])/8 - (317*t[43])/16 + 3*t[44] - (163*t[45])/8 - 
       (71*t[46])/4 + (45*t[47])/4 - (69*t[48])/4 + (39*t[49])/2 + 
       (131*t[50])/4 - (69*t[51])/16 - 20*t[52] - (39*t[53])/2 - 
       (103*t[54])/4 + (9*t[58])/4 + (31*t[59])/2 + (249*t[60])/4 + 
       (151*t[61])/4 + (823*t[62])/16 + (2917*t[63])/16 - (1081*t[64])/4 - 
       (199*t[65])/6 + (2905*t[66])/24 + (11*t[67])/4 + 15*t[69] - 6*t[70] + 
       6*t[71] + 6*t[72] - 12*t[73] - (53*t[74])/2 + 15*t[75] - 
       (15*t[76])/4 + 6*t[77] + 6*t[78] - 51*t[79] - (279*t[80])/2 + 
       9*t[81] + (45*t[82])/4 + (15*t[83])/2 - 12*t[84] + (339*t[85])/8 - 
       (195*t[86])/2 - (539*t[87])/8 - (539*t[88])/16 + 5*t[89] - 
       (3*t[94])/2 + 3*t[97] - 36*t[98] + 24*t[99] + 78*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-15*t[1])/2 - (55*t[2])/6 - (10*t[3])/3 - (25*t[4])/4 - 70*t[5] - 
       (415*t[6])/8 + (605*t[7])/6 + 80*t[8] + (1255*t[9])/12 + 
       (55*t[10])/3 + (245*t[11])/6 + (265*t[12])/4 + (2645*t[13])/48 - 
       (115*t[14])/18 - (1255*t[15])/24 - 10*t[31] - (5*t[41])/6 + 
       (5*t[42])/6 - (335*t[43])/12 + (275*t[45])/6 - (35*t[46])/3 - 
       (35*t[47])/3 - (25*t[48])/4 + (55*t[49])/3 + (85*t[50])/12 - 
       (5*t[51])/12 - (85*t[52])/12 - (55*t[53])/3 - (125*t[54])/12 - 
       15*t[59] - (65*t[60])/3 - 10*t[61] - (2215*t[62])/6 - (415*t[63])/6 + 
       275*t[64] + (1625*t[65])/18 - (325*t[66])/2 - (140*t[74])/3 + 
       40*t[79] - (215*t[80])/3 + (10*t[81])/3 - (10*t[82])/3 + 
       (80*t[83])/3 - (40*t[84])/3 - (5*t[85])/3 + (1000*t[86])/3 + 
       (85*t[87])/3 + (85*t[88])/6 + (65*t[89])/2 + 80*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-17*t[1])/3 - (19*t[2])/6 + (241*t[3])/24 - (65*t[4])/3 + 
       (541*t[5])/48 - (403*t[6])/48 + (82*t[7])/3 + (335*t[8])/24 + 
       (61*t[9])/16 + (140*t[10])/3 + (3731*t[11])/48 + (749*t[12])/48 + 
       (7169*t[13])/144 + (199*t[14])/144 + (793*t[15])/288 + (8*t[18])/3 - 
       2*t[19] + (8*t[20])/3 + (2*t[21])/3 - (2*t[22])/3 - (2*t[23])/3 + 
       (10*t[24])/3 - 2*t[25] + t[26] + (10*t[27])/3 - 4*t[28] - 
       (2*t[29])/3 + 4*t[30] + (49*t[31])/6 - (4*t[32])/3 + 4*t[33] - 
       (4*t[34])/3 + 4*t[35] + (8*t[38])/3 - 6*t[39] + 4*t[40] + 
       (2*t[41])/3 + (2*t[42])/3 + (5*t[43])/24 + (10*t[44])/3 + 
       (383*t[45])/24 - t[46]/12 + (11*t[47])/4 - (1051*t[48])/48 + 
       (5*t[49])/4 - (443*t[50])/48 + (71*t[51])/16 - (101*t[52])/48 - 
       (5*t[53])/4 - (239*t[54])/16 - t[58]/3 - (25*t[59])/6 + 
       (100*t[60])/3 + (521*t[61])/6 - (1915*t[62])/12 - (1003*t[63])/12 - 
       (35*t[64])/12 + (3361*t[65])/36 - (7195*t[66])/36 - (16*t[70])/3 + 
       (16*t[71])/3 - (8*t[72])/3 - (14*t[74])/3 - 4*t[75] + (22*t[76])/3 - 
       (4*t[77])/3 - (16*t[78])/3 + (4*t[79])/3 + (43*t[80])/2 + 
       (37*t[81])/3 - (25*t[82])/3 + 28*t[83] - 12*t[84] + (209*t[85])/6 + 
       (326*t[86])/3 - (97*t[87])/6 - (97*t[88])/12 + 13*t[89] + 
       (2*t[97])/3 + 32*t[98] - 32*t[99] + 81*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (-14*t[2] + (43*t[3])/4 - 22*t[4] + (85*t[5])/8 - (175*t[6])/8 - 
       25*t[7] + t[8]/2 - (205*t[9])/8 - (15*t[10])/4 - (249*t[11])/8 + 
       (73*t[12])/8 - (2459*t[13])/72 - (949*t[14])/24 - (139*t[15])/16 - 
       2*t[19] - t[21] + t[23] - 2*t[28] + 2*t[30] - 4*t[31] - 4*t[35] - 
       2*t[39] + t[40] + t[41]/2 - t[42]/2 - (21*t[43])/4 - 3*t[45] + 
       2*t[47] + (45*t[48])/8 - (29*t[49])/4 - (15*t[50])/8 - (11*t[51])/8 + 
       (15*t[52])/8 + (29*t[53])/4 + (51*t[54])/8 - 2*t[59] - (117*t[60])/4 - 
       (393*t[61])/4 + (545*t[62])/8 + (131*t[63])/8 + (1185*t[64])/8 + 
       (43*t[65])/4 + (561*t[66])/4 - 3*t[69] - 3*t[72] + 6*t[75] - t[77] + 
       12*t[79] + 24*t[80] - 3*t[81] + 15*t[82] - (51*t[83])/2 - 
       (13*t[84])/4 - (21*t[85])/4 - 29*t[86] + (39*t[87])/4 + (39*t[88])/8 + 
       (13*t[89])/8 - 24*t[99] + 81*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*(-t[1]/2 - (49*t[2])/2 + 
       (45*t[3])/4 - (149*t[4])/4 + (419*t[5])/8 + (43*t[6])/4 - 
       (85*t[7])/4 + (27*t[8])/4 - (459*t[9])/8 + (85*t[10])/8 - 
       (113*t[11])/2 - 2*t[12] - (107*t[13])/6 - (2053*t[14])/48 - 
       (245*t[15])/48 + 4*t[19] + 4*t[21] - 4*t[23] - 4*t[28] + 2*t[30] + 
       4*t[31] - 2*t[35] + 2*t[37] - 2*t[39] + 2*t[41] - 2*t[42] - 
       (3*t[43])/2 + 2*t[44] - (13*t[45])/2 + 5*t[47] + (37*t[48])/4 - 
       (19*t[49])/8 - (35*t[50])/4 + (19*t[51])/16 + (35*t[52])/4 + 
       (19*t[53])/8 + (29*t[54])/2 - 2*t[59] - (117*t[60])/4 - 
       (393*t[61])/4 + (545*t[62])/8 + (131*t[63])/8 + (1185*t[64])/8 + 
       (43*t[65])/4 + (561*t[66])/4 - 3*t[69] - 3*t[72] + 6*t[75] - t[77] + 
       12*t[79] + 24*t[80] - 3*t[81] + 15*t[82] - (51*t[83])/2 - 
       (13*t[84])/4 - (21*t[85])/4 - 29*t[86] + (39*t[87])/4 + (39*t[88])/8 + 
       (13*t[89])/8 - 24*t[99] + 81*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((-31*t[1])/6 + (26*t[2])/3 + 
       (35*t[3])/24 + (21*t[4])/4 + (527*t[5])/48 + (113*t[6])/4 - 
       (499*t[7])/8 + (415*t[8])/24 - (3355*t[9])/48 + (389*t[10])/12 - 
       (200*t[11])/3 - (773*t[12])/48 - (17099*t[13])/432 - (243*t[14])/8 + 
       (3197*t[15])/288 - (14*t[18])/3 + (2*t[20])/3 - (14*t[21])/3 + 
       (34*t[22])/3 + (14*t[23])/3 - (20*t[24])/3 + (4*t[25])/3 + 
       (7*t[26])/3 + 4*t[27] + 2*t[28] + (4*t[29])/3 + 2*t[30] - 
       (10*t[31])/3 + (8*t[32])/3 - 2*t[33] - (26*t[34])/3 + 2*t[36] - 
       (8*t[38])/3 + 2*t[39] - (7*t[40])/3 - t[41]/6 - (13*t[42])/6 + 
       (31*t[43])/12 - (7*t[44])/3 + (73*t[45])/12 + (25*t[46])/6 - 
       (37*t[47])/2 + (245*t[48])/24 - (29*t[49])/8 - t[50]/8 - 
       (223*t[51])/48 + (307*t[52])/24 + (29*t[53])/8 + (41*t[54])/24 - 
       (4*t[58])/3 + (3*t[59])/2 - (499*t[60])/6 - (1799*t[61])/12 + 
       (1087*t[62])/8 + (89*t[63])/8 - (29*t[64])/8 - (2891*t[65])/36 + 
       (6803*t[66])/36 + (16*t[70])/3 - (16*t[71])/3 - (10*t[72])/3 + 
       4*t[73] + 8*t[74] - 4*t[75] - (52*t[76])/3 + t[77]/3 + (10*t[78])/3 - 
       (155*t[80])/3 - (40*t[81])/3 - (11*t[82])/3 - (16*t[83])/3 - 
       (25*t[84])/3 - (40*t[85])/3 - (227*t[86])/6 + (157*t[87])/3 + 
       (157*t[88])/6 - (71*t[89])/12 - (5*t[97])/3 - 80*t[98] + 60*t[99] + 
       84*t[100]) + HPL[{1}, 1 - v]^2*Qep[u, w, v]*
      ((-16*t[1])/9 + (388*t[3])/9 + (428*t[4])/9 - (188*t[5])/3 - 
       (1106*t[6])/9 - (74*t[7])/3 + (10*t[8])/9 + (224*t[9])/9 + 
       (158*t[10])/3 - (794*t[11])/9 + (20*t[12])/3 - (964*t[13])/81 - 
       (2074*t[14])/27 - (445*t[15])/9 - 16*t[31] - (322*t[43])/9 - 
       (16*t[46])/3 + (10*t[48])/3 + (104*t[49])/9 + (158*t[50])/9 - 
       (16*t[51])/9 - (158*t[52])/9 - (104*t[53])/9 - (142*t[54])/9 + 
       (128*t[59])/9 - (316*t[60])/9 - (1696*t[61])/9 - (620*t[62])/9 - 
       (196*t[63])/3 - (740*t[64])/9 + (1832*t[65])/27 + (4552*t[66])/27 - 
       (32*t[74])/3 + 16*t[79] - (208*t[80])/3 - 8*t[81] + 8*t[82] + 
       (160*t[83])/9 - (16*t[84])/3 - (68*t[85])/3 + (904*t[86])/9 + 
       (140*t[87])/9 + (70*t[88])/9 - (146*t[89])/3 + (256*t[100])/3) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*(2*t[1] - 70*t[2] + 
       (45*t[3])/2 - 91*t[4] + (99*t[5])/2 - (217*t[6])/8 + 48*t[7] - 
       17*t[8] + (175*t[9])/4 + (387*t[10])/4 + (955*t[11])/8 + 
       (223*t[12])/4 + (8143*t[13])/72 + (725*t[14])/24 - (485*t[15])/72 + 
       2*t[16] - 2*t[17] + 8*t[18] + 8*t[20] + 8*t[21] - 3*t[22] - 8*t[23] + 
       16*t[24] - 2*t[25] - 2*t[26] + 7*t[27] + 6*t[29] + t[32] - 4*t[33] + 
       46*t[34] + 4*t[37] - 17*t[40] - 2*t[41] + 6*t[42] - (5*t[43])/2 + 
       (3*t[44])/2 - (17*t[45])/2 - 10*t[46] + (13*t[47])/2 - (549*t[48])/8 + 
       (87*t[49])/4 - (141*t[50])/8 + (9*t[51])/2 + (109*t[52])/8 - 
       (43*t[53])/4 - (87*t[54])/8 + 2*t[55] - t[58] - 4*t[59] + 
       (195*t[60])/4 + (283*t[61])/4 - (947*t[62])/4 + (219*t[63])/4 + 
       (805*t[64])/8 + (285*t[65])/2 - (4081*t[66])/12 + 4*t[68] - 4*t[69] - 
       22*t[70] + 22*t[71] - t[72] - 12*t[73] - 22*t[74] + 12*t[75] + 
       (181*t[76])/2 + 23*t[77] - 74*t[78] + 147*t[80] + (97*t[81])/2 + 
       41*t[82] + 13*t[83] - (33*t[84])/2 + (175*t[85])/2 + 76*t[86] - 
       (243*t[87])/2 - (379*t[88])/4 - (255*t[89])/8 + 2*t[92] - 2*t[94] + 
       8*t[95] + 8*t[96] + 3*t[97] + 480*t[98] - 564*t[99] + 90*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-43*t[1])/2 - (13*t[2])/2 + (79*t[3])/4 - (49*t[4])/4 - 
       (589*t[5])/8 - (797*t[6])/8 + (685*t[7])/4 - (465*t[8])/4 + 
       (2151*t[9])/8 - (925*t[10])/8 + (917*t[11])/8 + (719*t[12])/4 + 
       (1627*t[13])/72 + (351*t[14])/16 - (11713*t[15])/144 - 4*t[16] + 
       2*t[17] + 9*t[18] + 4*t[19] + 6*t[21] - 32*t[22] - 6*t[23] + 6*t[24] - 
       5*t[25] + (35*t[26])/2 - 8*t[27] + 5*t[29] - 9*t[30] + 7*t[31] - 
       11*t[32] - 12*t[33] + 42*t[34] - 12*t[36] + 4*t[37] - 23*t[38] + 
       8*t[39] + t[40] - (7*t[41])/2 + (15*t[42])/2 - (3*t[43])/2 + 
       (19*t[44])/2 - (93*t[45])/2 - 12*t[46] + (189*t[47])/2 - 
       (325*t[48])/8 + (131*t[49])/8 + (155*t[50])/8 + (215*t[51])/16 - 
       (363*t[52])/8 + (117*t[53])/8 - (473*t[54])/8 - 2*t[55] + 
       (11*t[58])/2 - 4*t[59] + (195*t[60])/4 + (283*t[61])/4 - 
       (947*t[62])/4 + (219*t[63])/4 + (805*t[64])/8 + (285*t[65])/2 - 
       (4081*t[66])/12 + 4*t[68] - 4*t[69] - 22*t[70] + 22*t[71] - t[72] - 
       12*t[73] - 22*t[74] + 12*t[75] + (181*t[76])/2 + 23*t[77] - 74*t[78] + 
       147*t[80] + (97*t[81])/2 + 41*t[82] + 13*t[83] - (33*t[84])/2 + 
       (175*t[85])/2 + 76*t[86] - (243*t[87])/2 - (379*t[88])/4 - 
       (255*t[89])/8 + 2*t[92] - 2*t[94] + 8*t[95] + 8*t[96] + 3*t[97] + 
       480*t[98] - 564*t[99] + 90*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((41*t[1])/4 - (15*t[2])/4 - (79*t[3])/8 + (33*t[4])/4 - 
       (421*t[5])/16 - (209*t[6])/8 + (105*t[7])/2 + (63*t[8])/4 + 
       (791*t[9])/16 + (333*t[10])/8 + (453*t[11])/4 + (583*t[12])/16 + 
       (2977*t[13])/72 + (299*t[14])/6 - (497*t[15])/96 + 2*t[18] + 2*t[20] + 
       2*t[21] - 2*t[22] - 2*t[23] - 2*t[24] + (3*t[26])/2 + 4*t[27] + 
       3*t[28] + 4*t[29] + 6*t[30] - 9*t[31] + 2*t[32] + (19*t[34])/2 - 
       6*t[36] - t[38] - 6*t[40] + (23*t[41])/4 - (19*t[42])/4 - 
       (77*t[43])/8 - 2*t[44] + (5*t[45])/2 - 3*t[46] + 15*t[47] + 
       (21*t[48])/8 + (73*t[49])/8 + (77*t[50])/8 - (37*t[51])/16 - 
       (25*t[52])/8 - (73*t[53])/8 - (151*t[54])/8 + t[58]/2 + (9*t[59])/4 + 
       (89*t[60])/4 + 170*t[61] - (831*t[62])/4 + (39*t[63])/4 + 
       (39*t[64])/4 + (194*t[65])/3 - (1063*t[66])/6 - 6*t[69] - 10*t[70] + 
       10*t[71] + 4*t[72] - 12*t[73] - 12*t[74] + 12*t[75] - t[76]/2 + 
       (25*t[77])/2 + 2*t[78] + 20*t[80] + (11*t[81])/2 + t[82]/2 + 4*t[83] - 
       (23*t[84])/4 + (13*t[85])/4 + (77*t[86])/2 - (49*t[87])/4 - 
       (49*t[88])/8 - (59*t[89])/8 + t[97]/2 - 48*t[98] + 36*t[99] + 
       90*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((17*t[1])/6 + (5*t[2])/2 + (739*t[3])/24 + 
       (151*t[4])/4 - (89*t[5])/48 + (143*t[6])/24 - (103*t[7])/4 - 33*t[8] - 
       (1253*t[9])/48 - (257*t[10])/8 - (45*t[11])/2 - (889*t[12])/48 - 
       (191*t[13])/27 - (1397*t[14])/18 - (7513*t[15])/288 - (2*t[18])/3 - 
       (2*t[20])/3 - (2*t[21])/3 + (2*t[22])/3 + (2*t[23])/3 - (4*t[24])/3 - 
       4*t[25] + 3*t[26] - (4*t[27])/3 - 2*t[28] - (4*t[29])/3 - 
       (8*t[32])/3 + 2*t[33] - (38*t[34])/3 + 2*t[36] + (10*t[38])/3 - 
       4*t[39] + 4*t[40] - (7*t[41])/6 + (5*t[42])/6 - (127*t[43])/24 + 
       (5*t[44])/3 - (17*t[45])/6 - (5*t[46])/2 + 11*t[47] + (61*t[48])/8 - 
       (49*t[49])/24 + (127*t[50])/24 + (211*t[51])/48 - (143*t[52])/24 + 
       (49*t[53])/24 - (173*t[54])/24 + (4*t[58])/3 + t[59] - (277*t[60])/6 - 
       (845*t[61])/12 + (493*t[62])/8 - (557*t[63])/8 + (269*t[64])/8 + 
       (367*t[65])/36 + (3041*t[66])/36 + 2*t[69] + (10*t[70])/3 - 
       (10*t[71])/3 - (22*t[72])/3 + 4*t[73] + 4*t[74] - 4*t[75] - 
       (43*t[76])/3 + (10*t[77])/3 + (22*t[78])/3 - (95*t[80])/3 - 
       (25*t[81])/3 - (32*t[82])/3 - (4*t[83])/3 - t[84]/3 - (28*t[85])/3 - 
       (17*t[86])/6 + (148*t[87])/3 + (74*t[88])/3 + (409*t[89])/12 - 
       (8*t[97])/3 - 80*t[98] + 84*t[99] + 90*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-27*t[1])/4 - (9*t[2])/8 + (205*t[3])/8 + (19*t[4])/2 - 
       (261*t[5])/16 - (83*t[6])/4 + 15*t[7] - (199*t[8])/4 + (507*t[9])/16 + 
       (23*t[10])/4 + (123*t[11])/8 + (211*t[12])/16 + (755*t[13])/36 - 
       (635*t[14])/48 - (6215*t[15])/288 + t[17]/4 + 3*t[19] - 3*t[20] - 
       2*t[21] + t[22] + t[23] + 4*t[27] + (17*t[29])/2 - 3*t[30] + 2*t[31] - 
       10*t[32] - (13*t[33])/2 - (3*t[34])/2 - 2*t[36] - 2*t[37] + 7*t[39] - 
       t[40] + (9*t[41])/4 - (9*t[42])/4 - (7*t[43])/2 - (33*t[44])/4 - 
       (7*t[45])/2 + t[46] + 23*t[47] - (63*t[48])/4 - (3*t[49])/2 - 
       (11*t[50])/4 - (5*t[51])/2 - (31*t[52])/4 + (3*t[53])/2 - 24*t[54] - 
       t[55] + (3*t[59])/4 - (183*t[60])/8 - (167*t[61])/4 - (515*t[62])/16 - 
       (601*t[63])/16 + (369*t[64])/8 + (196*t[65])/3 - (100*t[66])/3 - 
       t[68] + 2*t[69] - 2*t[70] + 2*t[71] - 3*t[72] - 6*t[74] + 2*t[75] + 
       29*t[76] + 11*t[77] - (89*t[78])/2 + 17*t[80] + (17*t[81])/4 - 
       (47*t[82])/4 - 2*t[83] + t[84]/4 + (301*t[85])/8 + 27*t[86] - 
       (81*t[87])/8 - (337*t[88])/16 + (71*t[89])/2 - t[90]/2 + 4*t[95] + 
       3*t[96] - (7*t[97])/2 + 156*t[98] - 220*t[99] + 91*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*(12*t[1] + (7*t[2])/2 - 
       8*t[3] - 14*t[4] + (95*t[5])/4 - (153*t[6])/4 + 54*t[7] - 227*t[8] - 
       (113*t[9])/4 + 32*t[10] + (305*t[11])/4 - (99*t[12])/4 + 
       (613*t[13])/9 + (57*t[14])/4 + (259*t[15])/8 + 4*t[16] + t[17] - 
       20*t[24] + 14*t[25] + 14*t[26] + 4*t[28] - 24*t[31] - 28*t[32] - 
       6*t[33] + 8*t[36] + 6*t[39] + 28*t[40] - 4*t[41] + 4*t[42] + 
       16*t[44] - 32*t[45] - 21*t[46] + 24*t[47] - (49*t[48])/4 + 4*t[49] + 
       (167*t[50])/4 + (5*t[51])/4 - (167*t[52])/4 - 4*t[53] - (79*t[54])/4 + 
       22*t[59] + 73*t[60] + 26*t[61] - (149*t[62])/2 + (79*t[63])/2 + 
       60*t[64] + 35*t[65] - 115*t[66] - 4*t[67] - 12*t[68] + 12*t[72] + 
       16*t[73] - 12*t[74] - 16*t[75] - 40*t[76] - 36*t[77] + 48*t[78] - 
       16*t[79] - 64*t[80] + 24*t[81] - 24*t[82] - 4*t[83] + 17*t[84] - 
       21*t[85] + 64*t[86] + 7*t[87] + (7*t[88])/2 - t[89] - 4*t[92] + 
       4*t[93] + 4*t[94] - 240*t[98] + 288*t[99] + 92*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*(-32*t[1] - (39*t[2])/2 - 
       61*t[3] + 12*t[4] - (153*t[5])/4 + (43*t[6])/4 - 22*t[7] + 110*t[8] + 
       (123*t[9])/4 - 61*t[10] + (25*t[11])/4 + (193*t[12])/4 - 
       (619*t[13])/18 + (61*t[14])/4 + (449*t[15])/24 + 4*t[16] + 3*t[17] + 
       20*t[20] + 16*t[24] + 2*t[25] - 2*t[26] - 20*t[27] + 4*t[28] + 
       18*t[31] - 8*t[32] + 10*t[33] + 8*t[36] - 28*t[38] - 10*t[39] + 
       8*t[40] + 12*t[41] - 12*t[42] - 8*t[43] - 16*t[44] + 32*t[45] - 
       5*t[46] - 4*t[47] + (115*t[48])/4 - 10*t[49] + (27*t[50])/4 + 
       (13*t[51])/4 + (53*t[52])/4 + 10*t[53] + (117*t[54])/4 + 22*t[59] + 
       73*t[60] + 26*t[61] - (149*t[62])/2 + (79*t[63])/2 + 60*t[64] + 
       35*t[65] - 115*t[66] - 4*t[67] - 12*t[68] + 12*t[72] + 16*t[73] - 
       12*t[74] - 16*t[75] - 40*t[76] - 36*t[77] + 48*t[78] - 16*t[79] - 
       64*t[80] + 24*t[81] - 24*t[82] - 4*t[83] + 17*t[84] - 21*t[85] + 
       64*t[86] + 7*t[87] + (7*t[88])/2 - t[89] - 4*t[92] + 4*t[93] + 
       4*t[94] - 240*t[98] + 288*t[99] + 92*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      (t[1]/18 - (7*t[2])/4 + (1633*t[3])/144 - (43*t[4])/12 + 
       (1579*t[5])/288 - (1325*t[6])/288 - (59*t[7])/96 - (209*t[8])/96 - 
       (895*t[9])/144 - (1553*t[10])/96 - 11*t[11] + (1781*t[12])/288 + 
       (8051*t[13])/5184 - (26329*t[14])/864 - (109*t[15])/8 + (35*t[18])/9 + 
       2*t[19] + (5*t[20])/9 + (35*t[21])/9 + (7*t[22])/9 - (35*t[23])/9 + 
       (58*t[24])/9 - 3*t[25] + (8*t[26])/3 + (7*t[27])/9 - (2*t[29])/9 - 
       t[30]/3 + (11*t[31])/6 - (10*t[32])/9 + (5*t[33])/3 - t[34]/9 + 
       t[36]/3 + (25*t[38])/18 - (5*t[39])/3 + (4*t[40])/3 + (14*t[41])/9 - 
       (11*t[42])/18 - (1271*t[43])/288 + (17*t[44])/18 - (431*t[45])/144 + 
       t[46]/2 + (245*t[47])/24 + t[48]/3 - (95*t[49])/18 + (23*t[50])/18 + 
       (259*t[51])/72 - (73*t[52])/18 + (95*t[53])/18 + (10*t[54])/9 + 
       (31*t[58])/18 - 3*t[59] - (337*t[60])/36 - (1945*t[61])/36 + 
       (133*t[62])/24 - (1529*t[63])/24 + (1121*t[64])/24 + (1819*t[65])/54 + 
       (1289*t[66])/54 - (2*t[69])/3 - (40*t[70])/9 + (40*t[71])/9 - 
       (8*t[72])/9 + 2*t[73] + (5*t[74])/3 - 2*t[75] - (5*t[76])/9 - 
       (4*t[77])/9 - (7*t[78])/9 + (32*t[80])/9 - (67*t[81])/18 + 
       (55*t[82])/18 - (20*t[83])/9 - (61*t[84])/18 - (131*t[85])/36 + 
       (121*t[86])/9 + (587*t[87])/36 + (587*t[88])/72 + (1675*t[89])/72 - 
       (4*t[97])/9 - (40*t[98])/3 + 2*t[99] + 96*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (-3*t[2] + (45*t[3])/2 + (29*t[4])/2 + (113*t[5])/4 + (91*t[6])/4 - 
       (489*t[7])/4 + (75*t[8])/4 - 150*t[9] + (231*t[10])/4 - 
       (449*t[11])/4 - (207*t[12])/4 - (1205*t[13])/18 - (413*t[14])/6 + 
       (170*t[15])/9 - 6*t[18] - t[19] + 2*t[20] - 4*t[21] + 16*t[22] + 
       4*t[23] - 10*t[24] + 2*t[26] + 4*t[27] + t[29] - 2*t[30] + 4*t[32] - 
       2*t[33] - 22*t[34] + (5*t[38])/2 + 4*t[39] + 2*t[40] - (11*t[41])/2 + 
       4*t[42] + t[43]/4 - 5*t[44] + 29*t[45] + 8*t[46] - 57*t[47] + 
       (53*t[48])/4 - (13*t[49])/2 - (43*t[50])/4 - (9*t[51])/2 + 
       (71*t[52])/4 + (13*t[53])/2 + (5*t[54])/4 - 2*t[58] - 5*t[59] - 
       90*t[60] - 252*t[61] + (1559*t[62])/8 - (315*t[63])/8 + 20*t[64] - 
       (1037*t[65])/12 + (1693*t[66])/6 + 8*t[70] - 8*t[71] + t[72] + 
       4*t[73] + 10*t[74] - 2*t[75] - (49*t[76])/2 - 8*t[77] + 7*t[78] - 
       95*t[80] - (35*t[81])/2 - 2*t[82] - 12*t[83] - (35*t[84])/4 - 
       (91*t[85])/4 - 51*t[86] + (257*t[87])/4 + (249*t[88])/8 + 
       (15*t[89])/2 - 2*t[97] - 132*t[98] + 104*t[99] + 97*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-59*t[1])/4 - (979*t[2])/24 - (2215*t[3])/24 - (17599*t[4])/48 + 
       (1207*t[5])/8 + (1459*t[6])/48 + (295*t[7])/12 + (2483*t[8])/12 - 
       (1651*t[9])/24 + (27593*t[10])/96 - (119*t[11])/48 + (9073*t[12])/96 + 
       (1331*t[13])/108 + (102119*t[14])/576 + (36583*t[15])/288 - 
       (3*t[17])/2 + 2*t[18] - (40*t[19])/9 + 8*t[21] + (7*t[22])/2 - 
       6*t[23] - 4*t[24] + 7*t[25] - (25*t[26])/6 - 10*t[27] - 3*t[28] - 
       6*t[29] - 12*t[31] - 11*t[32] + 11*t[33] - t[34]/3 - 6*t[35] + 
       (22*t[36])/3 - (8*t[38])/3 - (37*t[39])/3 + (87*t[40])/4 - 
       (19*t[41])/12 + (49*t[42])/12 - (25*t[43])/2 + t[44] + (101*t[45])/2 + 
       (77*t[46])/6 - (305*t[47])/12 - (649*t[48])/48 - (3629*t[49])/96 + 
       (655*t[50])/48 + (493*t[51])/192 - (1727*t[52])/48 + (3437*t[53])/96 + 
       (85*t[54])/2 - t[58] - (49*t[59])/24 - (9943*t[60])/48 + 
       (3567*t[61])/16 - (14875*t[62])/96 + (11321*t[63])/32 - 
       (8351*t[64])/96 + (40679*t[65])/144 - (1169*t[66])/48 + (3*t[69])/2 - 
       7*t[70] + 7*t[71] - (9*t[72])/2 + 9*t[73] - (133*t[74])/3 - 15*t[75] - 
       (41*t[76])/12 - (3*t[77])/2 + 15*t[78] + (75*t[79])/2 - 
       (512*t[80])/3 - (341*t[81])/12 + (76*t[82])/3 + (57*t[83])/4 - 
       (409*t[84])/48 - (971*t[85])/16 - (467*t[86])/2 + (2195*t[87])/48 + 
       (2147*t[88])/96 - (1615*t[89])/32 + (8*t[95])/3 - 8*t[96] - 
       (67*t[97])/12 + 116*t[98] - 98*t[99] + 101*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-t[1]/24 + (731*t[2])/24 + (6425*t[3])/48 + (2683*t[4])/24 - 
       (1411*t[5])/12 - (13955*t[6])/96 + (2159*t[7])/24 - (3493*t[8])/8 + 
       (8339*t[9])/48 - (917*t[10])/16 + (5491*t[11])/96 + (1907*t[12])/16 - 
       (3473*t[13])/216 - (10627*t[14])/72 - (591*t[15])/4 + 6*t[18] + 
       3*t[19] + 3*t[20] + (7*t[21])/2 - 35*t[22] - (25*t[23])/6 + 14*t[24] + 
       4*t[25] - (11*t[26])/4 - t[27] + (7*t[29])/2 + (8*t[30])/3 - 
       15*t[31] + t[32]/2 - (31*t[33])/6 + (61*t[34])/4 + 3*t[36] - 
       (16*t[38])/3 + (79*t[39])/6 - (53*t[40])/2 + (73*t[41])/24 - 
       (7*t[42])/24 - (409*t[43])/8 + (317*t[44])/6 - (137*t[45])/12 - 
       (35*t[46])/6 + (427*t[47])/6 - (2173*t[48])/96 + (461*t[49])/48 + 
       (6523*t[50])/96 - (293*t[51])/96 - (1825*t[52])/32 - (239*t[53])/16 - 
       (7079*t[54])/96 + (13*t[58])/4 - (49*t[59])/24 - (9943*t[60])/48 + 
       (3567*t[61])/16 - (14875*t[62])/96 + (11321*t[63])/32 - 
       (8351*t[64])/96 + (40679*t[65])/144 - (1169*t[66])/48 + (3*t[69])/2 - 
       7*t[70] + 7*t[71] - (9*t[72])/2 + 9*t[73] - (133*t[74])/3 - 15*t[75] - 
       (41*t[76])/12 - (3*t[77])/2 + 15*t[78] + (75*t[79])/2 - 
       (512*t[80])/3 - (341*t[81])/12 + (76*t[82])/3 + (57*t[83])/4 - 
       (409*t[84])/48 - (971*t[85])/16 - (467*t[86])/2 + (2195*t[87])/48 + 
       (2147*t[88])/96 - (1615*t[89])/32 + (8*t[95])/3 - 8*t[96] - 
       (67*t[97])/12 + 116*t[98] - 98*t[99] + 101*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (-2*t[1] + 28*t[2] + (293*t[3])/16 - (473*t[4])/8 + (1733*t[5])/32 - 
       (613*t[6])/16 - (535*t[7])/8 - (295*t[8])/4 - (1823*t[9])/32 + 
       (1759*t[10])/16 - (17*t[11])/8 + (389*t[12])/32 + (629*t[13])/72 - 
       (79*t[14])/12 + (2333*t[15])/192 + (3*t[17])/2 + 6*t[18] + 2*t[19] + 
       4*t[20] - 12*t[21] - 4*t[22] + 13*t[23] + 5*t[24] - 3*t[25] + 
       3*t[26] + 8*t[27] + 2*t[29] + 3*t[30] - 24*t[31] + 7*t[32] - 3*t[33] + 
       (35*t[34])/2 - 16*t[35] - 3*t[36] - t[37] - 2*t[38] + 3*t[39] - 
       12*t[40] - 6*t[41] + (13*t[42])/2 - (149*t[43])/16 + (13*t[44])/2 + 
       (135*t[45])/4 + (9*t[46])/4 - (157*t[47])/2 + (11*t[48])/16 - 
       (19*t[49])/16 + (443*t[50])/16 - (59*t[51])/32 - (307*t[52])/16 + 
       (19*t[53])/16 - (381*t[54])/16 - t[58]/2 - (37*t[59])/4 - 57*t[60] - 
       (477*t[61])/8 - (715*t[62])/16 - (65*t[63])/16 - (1521*t[64])/16 + 
       (1267*t[65])/24 + (137*t[66])/8 - 2*t[67] - 3*t[69] + 10*t[70] - 
       10*t[71] + 5*t[72] - 6*t[73] + 19*t[74] + 3*t[75] + 17*t[76] + 
       7*t[77] - (31*t[78])/2 + 51*t[79] - (19*t[80])/2 - t[81] + 19*t[82] + 
       (25*t[83])/2 - (61*t[84])/4 - 13*t[85] - (355*t[86])/4 + 
       (49*t[87])/2 + (49*t[88])/4 - 35*t[89] + (5*t[97])/2 + 84*t[98] - 
       114*t[99] + 102*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-5*t[1])/4 + (7*t[2])/2 + (259*t[3])/16 + 
       (33*t[4])/8 - (705*t[5])/32 - (345*t[6])/8 - (205*t[7])/16 - 
       (909*t[8])/16 + (1677*t[9])/32 + (545*t[10])/4 - (127*t[11])/4 + 
       (1167*t[12])/32 - (10015*t[13])/288 - (75*t[14])/2 - 
       (4163*t[15])/192 + t[18] - 4*t[20] + t[21] + t[22] - t[23] + t[24] - 
       8*t[25] + 4*t[26] + 3*t[27] + t[29] - 6*t[30] - 7*t[31] - 4*t[32] + 
       7*t[34] - 4*t[35] - 3*t[36] + 2*t[37] + t[38] + (13*t[40])/2 - 
       (11*t[41])/4 + (13*t[42])/4 - (95*t[43])/8 + t[44]/2 - (55*t[45])/8 + 
       (49*t[46])/4 + (129*t[47])/4 - (191*t[48])/16 - (345*t[49])/16 - 
       (71*t[50])/16 + (163*t[51])/32 - (89*t[52])/16 + (345*t[53])/16 + 
       (329*t[54])/16 + t[58]/2 - (37*t[59])/4 - 57*t[60] - (477*t[61])/8 - 
       (715*t[62])/16 - (65*t[63])/16 - (1521*t[64])/16 + (1267*t[65])/24 + 
       (137*t[66])/8 - 2*t[67] - 3*t[69] + 10*t[70] - 10*t[71] + 5*t[72] - 
       6*t[73] + 19*t[74] + 3*t[75] + 17*t[76] + 7*t[77] - (31*t[78])/2 + 
       51*t[79] - (19*t[80])/2 - t[81] + 19*t[82] + (25*t[83])/2 - 
       (61*t[84])/4 - 13*t[85] - (355*t[86])/4 + (49*t[87])/2 + 
       (49*t[88])/4 - 35*t[89] + (5*t[97])/2 + 84*t[98] - 114*t[99] + 
       102*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((2*t[1])/3 - (119*t[2])/12 + (221*t[3])/8 - 
       (1241*t[4])/24 - (113*t[5])/16 - (3007*t[6])/24 + (479*t[7])/12 - 
       (1141*t[8])/12 + (595*t[9])/16 + (3779*t[10])/48 + (937*t[11])/8 + 
       (1993*t[12])/24 + (36457*t[13])/432 - (1235*t[14])/96 - 
       (2779*t[15])/96 - (7*t[16])/6 + t[17] + (20*t[18])/3 + 2*t[19] - 
       (7*t[20])/3 + (16*t[21])/3 - 12*t[22] - (20*t[23])/3 + (43*t[24])/3 - 
       10*t[25] + 10*t[26] + (49*t[27])/3 - (43*t[29])/6 + (113*t[30])/6 - 
       t[31] - (61*t[32])/6 + (7*t[33])/2 + (133*t[34])/3 - 9*t[35] - 
       (55*t[36])/3 - (10*t[37])/3 - (22*t[38])/3 - (115*t[40])/6 + 
       (10*t[41])/3 + t[42] + (65*t[43])/24 + 5*t[44] - (559*t[45])/12 + 
       7*t[46] + 76*t[47] - (267*t[48])/4 - t[49]/16 + (65*t[50])/12 - 
       (17*t[51])/96 - (125*t[52])/12 - (13*t[53])/48 - (1307*t[54])/24 - 
       2*t[58] + (79*t[59])/12 - (1277*t[60])/24 - (1429*t[61])/24 - 
       (17333*t[62])/48 + (109*t[63])/48 + (11779*t[64])/48 + 
       (8737*t[65])/72 - (21685*t[66])/72 - t[67]/3 + 3*t[68] + t[69] - 
       17*t[70] + 17*t[71] + (22*t[72])/3 - 8*t[73] - (34*t[74])/3 + 
       14*t[75] + (155*t[76])/3 + (29*t[77])/2 - (181*t[78])/6 - 20*t[79] + 
       152*t[80] + (81*t[81])/2 + (235*t[82])/6 + (280*t[83])/3 - 
       (463*t[84])/8 + (1327*t[85])/24 + (641*t[86])/3 - (853*t[87])/24 - 
       (1501*t[88])/48 - (1019*t[89])/48 + t[94]/3 + (20*t[95])/3 + 
       (23*t[97])/6 + 320*t[98] - 372*t[99] + 105*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((19*t[1])/12 - (241*t[2])/12 + (83*t[3])/8 - (1577*t[4])/12 - 
       (347*t[5])/16 - (6311*t[6])/48 + (175*t[7])/2 - (376*t[8])/3 + 
       (6781*t[9])/48 + (211*t[10])/8 + (851*t[11])/16 + (3383*t[12])/48 + 
       (943*t[13])/216 - (2873*t[14])/144 - (10327*t[15])/288 + t[16]/6 - 
       (5*t[17])/6 + (22*t[18])/3 - (2*t[20])/3 + (13*t[21])/3 - 
       (74*t[22])/3 - (13*t[23])/3 + (46*t[24])/3 - (41*t[25])/3 + 
       (26*t[26])/3 + 13*t[27] - 10*t[28] + (8*t[29])/3 + 2*t[30] - 
       (20*t[31])/3 - (5*t[32])/3 + (13*t[33])/3 + (235*t[34])/6 + 9*t[35] - 
       (67*t[36])/3 + 3*t[37] - (16*t[38])/3 - (15*t[39])/2 - (9*t[40])/2 + 
       (23*t[41])/12 + (7*t[42])/4 + (71*t[43])/8 + (31*t[44])/3 - 
       (151*t[45])/4 + (25*t[46])/6 + (141*t[47])/2 - (1997*t[48])/48 + 
       (145*t[49])/24 + (217*t[50])/16 + (505*t[51])/48 - (433*t[52])/16 + 
       (9*t[53])/8 - (347*t[54])/48 - t[56]/3 - (4*t[57])/3 + t[58] + 
       (79*t[59])/12 - (1277*t[60])/24 - (1429*t[61])/24 - (17333*t[62])/48 + 
       (109*t[63])/48 + (11779*t[64])/48 + (8737*t[65])/72 - 
       (21685*t[66])/72 - t[67]/3 + 3*t[68] + t[69] - 17*t[70] + 17*t[71] + 
       (22*t[72])/3 - 8*t[73] - (34*t[74])/3 + 14*t[75] + (155*t[76])/3 + 
       (29*t[77])/2 - (181*t[78])/6 - 20*t[79] + 152*t[80] + (81*t[81])/2 + 
       (235*t[82])/6 + (280*t[83])/3 - (463*t[84])/8 + (1327*t[85])/24 + 
       (641*t[86])/3 - (853*t[87])/24 - (1501*t[88])/48 - (1019*t[89])/48 + 
       t[94]/3 + (20*t[95])/3 + (23*t[97])/6 + 320*t[98] - 372*t[99] + 
       105*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]^2*
      (-6*t[2] - (21*t[3])/4 - (117*t[4])/4 + (157*t[5])/8 - (43*t[6])/2 + 
       (89*t[7])/4 + (75*t[8])/4 + (67*t[9])/8 + (7*t[10])/2 + (35*t[11])/4 + 
       (105*t[12])/8 + (69*t[13])/4 + (71*t[14])/48 - (349*t[15])/48 + 
       4*t[18] + 2*t[19] + 2*t[20] + 6*t[21] - 6*t[23] + 4*t[24] - 5*t[25] + 
       5*t[26] + 2*t[27] - 4*t[29] + 4*t[30] + 2*t[31] + 5*t[34] + t[36] + 
       t[37] + t[38] - 2*t[39] - t[40] + (7*t[41])/2 - (3*t[42])/2 + 
       (11*t[43])/4 - 7*t[45] + t[46] + 26*t[47] - (37*t[48])/4 + 9*t[49] + 
       (11*t[50])/4 - (31*t[51])/16 - (31*t[52])/4 - (7*t[53])/2 - 5*t[54] + 
       t[59]/2 - 13*t[60] - (151*t[61])/4 - (349*t[62])/8 - (607*t[63])/8 + 
       (525*t[64])/8 + (296*t[65])/3 - (295*t[66])/6 - t[67] + 3*t[69] - 
       9*t[70] + 9*t[71] - 3*t[72] - 7*t[74] + 25*t[76] - 28*t[78] + 
       54*t[80] + (7*t[81])/2 + (13*t[82])/2 + 6*t[83] - 5*t[84] + 
       (93*t[85])/4 + 57*t[86] - (17*t[87])/4 - (81*t[88])/8 + 
       (157*t[89])/4 + 2*t[95] + 2*t[96] - t[97] + 144*t[98] - 180*t[99] + 
       105*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]^2*
      (5*t[1] - (47*t[2])/4 + (97*t[3])/8 - t[4] - (183*t[5])/8 - 24*t[6] + 
       (225*t[7])/4 - (53*t[8])/4 + (533*t[9])/8 - (99*t[10])/2 + 
       (145*t[11])/4 + (27*t[12])/8 + (787*t[13])/36 - (353*t[14])/24 - 
       (647*t[15])/36 + 2*t[18] - 4*t[19] - 9*t[20] + t[21] - 6*t[22] + 
       2*t[24] + t[27] + (9*t[29])/2 - t[30] - 4*t[31] - (13*t[32])/2 + 
       t[33] + 10*t[34] - t[37] - t[38] - 4*t[39] - t[41]/2 + (5*t[42])/2 + 
       t[43]/2 + (31*t[44])/4 - (39*t[45])/2 + 32*t[47] - (17*t[48])/2 + 
       t[49]/2 + (23*t[50])/2 + t[51]/4 - (41*t[52])/2 - t[53]/2 - 
       (49*t[54])/4 + 2*t[58] + t[59]/2 - 13*t[60] - (151*t[61])/4 - 
       (349*t[62])/8 - (607*t[63])/8 + (525*t[64])/8 + (296*t[65])/3 - 
       (295*t[66])/6 - t[67] + 3*t[69] - 9*t[70] + 9*t[71] - 3*t[72] - 
       7*t[74] + 25*t[76] - 28*t[78] + 54*t[80] + (7*t[81])/2 + 
       (13*t[82])/2 + 6*t[83] - 5*t[84] + (93*t[85])/4 + 57*t[86] - 
       (17*t[87])/4 - (81*t[88])/8 + (157*t[89])/4 + 2*t[95] + 2*t[96] - 
       t[97] + 144*t[98] - 180*t[99] + 105*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((33*t[1])/4 + (371*t[2])/36 - (271*t[3])/72 + (89*t[4])/8 - 
       (971*t[5])/16 - (169*t[6])/8 + (3907*t[7])/72 - (7*t[8])/12 + 
       (13499*t[9])/144 - (1717*t[10])/36 + (185*t[11])/144 + 
       (601*t[12])/16 + (555*t[13])/32 - (179*t[14])/54 - (2419*t[15])/96 + 
       (8*t[18])/3 - (8*t[20])/3 + (14*t[21])/3 - (10*t[22])/3 - 
       (14*t[23])/3 + (8*t[24])/3 - (10*t[25])/3 + (11*t[26])/3 + 2*t[27] + 
       (2*t[29])/3 - (5*t[31])/2 + (4*t[32])/3 - 4*t[33] + (38*t[34])/3 - 
       (4*t[38])/3 + 2*t[39] - (14*t[40])/3 - (59*t[41])/36 + 
       (107*t[42])/36 - (815*t[43])/72 - (2*t[44])/3 - (785*t[45])/72 + 
       (35*t[46])/36 + (1025*t[47])/36 - (401*t[48])/48 - (17*t[49])/72 + 
       (1805*t[50])/144 - (5*t[51])/18 - (1037*t[52])/144 + (17*t[53])/72 - 
       (1513*t[54])/144 + (7*t[58])/3 - (22*t[59])/3 - (4*t[60])/9 - 
       (391*t[61])/6 - (871*t[62])/9 - (871*t[63])/9 - (35*t[64])/12 + 
       (2923*t[65])/54 - (142*t[66])/3 - (16*t[70])/3 + (16*t[71])/3 - 
       (8*t[72])/3 - (118*t[74])/9 - 4*t[75] + (22*t[76])/3 - (4*t[77])/3 - 
       (16*t[78])/3 + (4*t[79])/3 + (32*t[80])/9 + (35*t[81])/9 + t[82]/9 + 
       (328*t[83])/9 - (146*t[84])/9 + (247*t[85])/18 + (959*t[86])/9 + 
       (241*t[87])/18 + (241*t[88])/36 + (77*t[89])/3 + (2*t[97])/3 + 
       32*t[98] - 32*t[99] + (319*t[100])/3) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*((35*t[1])/18 - (383*t[2])/72 + 
       (4703*t[3])/288 - (315*t[4])/32 + (7087*t[5])/288 + (1711*t[6])/192 - 
       (1775*t[7])/32 + (2737*t[8])/288 - (25835*t[9])/288 + 
       (31451*t[10])/576 - (22751*t[11])/576 - (12377*t[12])/576 - 
       (124247*t[13])/5184 - (7133*t[14])/384 + (16361*t[15])/1728 - t[17] + 
       (5*t[18])/18 - t[19] - (28*t[20])/9 - (13*t[21])/18 + (167*t[22])/18 + 
       (13*t[23])/18 - (107*t[24])/36 + (53*t[25])/18 + (245*t[26])/72 + 
       6*t[27] - (3*t[28])/2 + (29*t[29])/72 - (5*t[30])/12 + (49*t[31])/18 + 
       (43*t[32])/18 - (17*t[33])/4 - (221*t[34])/36 + (7*t[35])/2 - 
       (11*t[36])/6 + 2*t[37] - t[38]/18 + (17*t[39])/4 - (71*t[40])/72 + 
       t[41]/9 + t[42]/36 + (263*t[43])/288 + (71*t[44])/144 + 
       (757*t[45])/144 + (127*t[46])/72 - 19*t[47] - (2915*t[48])/576 + 
       (145*t[49])/192 - (2725*t[50])/192 - (8177*t[51])/1152 + 
       (7871*t[52])/576 - (145*t[53])/192 - (3287*t[54])/576 + t[56]/2 + 
       t[57]/2 - (47*t[58])/72 - (161*t[59])/48 - (3547*t[60])/72 - 
       (21689*t[61])/144 + (5791*t[62])/96 - (3235*t[63])/96 + 
       (3235*t[64])/96 - (6059*t[65])/432 + (13499*t[66])/108 + t[67]/4 + 
       (11*t[68])/8 - (14*t[69])/3 - (85*t[70])/18 + (85*t[71])/18 - 
       (52*t[72])/9 + (23*t[73])/2 + (17*t[74])/2 - 18*t[75] + 
       (463*t[76])/72 - (23*t[77])/36 - (1237*t[78])/72 + 7*t[79] - 
       (413*t[80])/36 - (143*t[81])/18 + (119*t[82])/72 + (245*t[83])/36 - 
       (2053*t[84])/144 + (1451*t[85])/144 + (197*t[86])/36 + 
       (4855*t[87])/144 + (4855*t[88])/288 + (3491*t[89])/288 - t[90]/8 + 
       t[92]/4 - t[93] - t[94]/4 - (73*t[97])/72 + (130*t[98])/3 - 72*t[99] + 
       (213*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*(-t[1]/2 - (7*t[2])/2 - 3*t[3] - 21*t[4] - 
       (15*t[5])/4 - (63*t[6])/4 + 24*t[7] - 11*t[8] + (119*t[9])/4 + 
       23*t[10] + (65*t[11])/4 + (41*t[12])/4 - (11*t[13])/12 + t[14]/2 - 
       (95*t[15])/24 - 2*t[19] - 4*t[20] - 4*t[21] + 4*t[22] + 4*t[23] + 
       4*t[27] - 2*t[29] + 2*t[30] - 2*t[33] + t[34] + 2*t[37] - 2*t[40] + 
       (5*t[41])/2 - (7*t[42])/2 + (7*t[43])/2 + 6*t[44] - t[45] + 7*t[47] - 
       (37*t[48])/4 - 3*t[49] + (19*t[50])/4 + t[51] - (31*t[52])/4 + 
       3*t[53] - (31*t[54])/4 + (9*t[59])/2 - 7*t[60] - 9*t[61] - 
       (25*t[62])/2 + t[63]/2 + (35*t[64])/2 + (52*t[65])/3 - (67*t[66])/3 - 
       8*t[72] + 4*t[76] + 12*t[77] - t[78] + 18*t[80] + 3*t[81] - 5*t[82] - 
       2*t[84] + 16*t[85] - 6*t[86] - 2*t[87] + 17*t[89] - t[97] + 24*t[98] - 
       24*t[99] + 108*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*(6*t[1] + (3*t[2])/2 + 13*t[3] + (51*t[5])/4 - 
       (19*t[6])/4 - (11*t[7])/2 - (55*t[8])/2 - (51*t[9])/4 - (49*t[10])/2 + 
       (3*t[11])/4 - (35*t[12])/4 - (97*t[13])/36 - (107*t[14])/6 - 
       (287*t[15])/24 - 4*t[25] + 2*t[26] + 2*t[30] + 2*t[31] + 2*t[37] + 
       2*t[38] - 2*t[39] - t[40] + 3*t[43] - 2*t[44] - 7*t[45] - 2*t[46] + 
       14*t[47] - (7*t[48])/4 + 6*t[49] + t[50]/4 - 2*t[51] + (7*t[52])/4 - 
       6*t[53] - (5*t[54])/4 + (9*t[59])/2 - 7*t[60] - 9*t[61] - 
       (25*t[62])/2 + t[63]/2 + (35*t[64])/2 + (52*t[65])/3 - (67*t[66])/3 - 
       8*t[72] + 4*t[76] + 12*t[77] - t[78] + 18*t[80] + 3*t[81] - 5*t[82] - 
       2*t[84] + 16*t[85] - 6*t[86] - 2*t[87] + 17*t[89] - t[97] + 24*t[98] - 
       24*t[99] + 108*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-97*t[1])/9 + (1217*t[2])/72 - (2137*t[3])/36 - 
       (853*t[4])/48 - (3491*t[5])/144 + (9115*t[6])/96 - (1201*t[7])/32 + 
       (9203*t[8])/288 + (6203*t[9])/288 + (29987*t[10])/288 - 
       (67577*t[11])/288 - (1627*t[12])/144 - (474071*t[13])/2592 - 
       (235*t[14])/144 + (3509*t[15])/576 - (115*t[18])/9 - 12*t[19] + 
       (52*t[20])/9 - (113*t[21])/18 + (86*t[22])/9 + (88*t[23])/9 - 
       (287*t[24])/18 + (32*t[25])/9 + (47*t[26])/9 + 3*t[27] - t[28] - 
       (233*t[29])/18 - (4*t[30])/3 + (89*t[31])/18 + (559*t[32])/36 - 
       8*t[33] + (67*t[34])/18 - (149*t[36])/12 + 5*t[37] - (319*t[38])/36 + 
       (15*t[39])/4 - (80*t[40])/9 - (46*t[41])/9 + (31*t[42])/18 + 
       (5047*t[43])/288 - (383*t[44])/36 + (1525*t[45])/72 + (635*t[46])/72 - 
       (227*t[47])/3 + (4735*t[48])/288 - (227*t[49])/24 + (91*t[50])/32 - 
       (4219*t[51])/288 + (4637*t[52])/288 + (203*t[53])/24 + 
       (15121*t[54])/288 - (25*t[58])/18 + (53*t[59])/8 + (575*t[60])/144 - 
       (55297*t[61])/144 + (4219*t[62])/12 + (1721*t[63])/24 - 
       (2751*t[64])/16 - (96883*t[65])/432 + (217825*t[66])/432 - t[68] + 
       (37*t[69])/3 + (349*t[70])/18 - (349*t[71])/18 - (32*t[72])/9 - 
       (233*t[73])/12 + (313*t[74])/12 + (245*t[75])/12 - (449*t[76])/9 + 
       (92*t[77])/9 + (857*t[78])/36 + 5*t[79] - (4465*t[80])/36 - 
       (125*t[81])/9 + (977*t[82])/36 - (653*t[83])/36 + (385*t[84])/144 - 
       (1523*t[85])/144 - (11713*t[86])/72 + (3743*t[87])/144 + 
       (6911*t[88])/288 + (12019*t[89])/288 - 2*t[95] - (7*t[96])/2 - 
       (55*t[97])/36 - (397*t[98])/3 + 104*t[99] + (225*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-28*t[1])/3 - 5*t[2] + (271*t[3])/12 - (25*t[4])/2 + (1591*t[5])/24 + 
       (185*t[6])/12 - 73*t[7] + (25*t[8])/2 - (2969*t[9])/24 - 
       (41*t[10])/4 - (135*t[11])/2 - (445*t[12])/24 - (25*t[13])/27 - 
       (3491*t[14])/36 - (877*t[15])/144 + (8*t[18])/3 + (14*t[20])/3 + 
       (8*t[21])/3 + (4*t[22])/3 - (8*t[23])/3 + (34*t[24])/3 - 4*t[25] + 
       3*t[26] + (4*t[27])/3 - (8*t[29])/3 + 10*t[31] - (10*t[32])/3 + 
       8*t[33] - (34*t[34])/3 + 4*t[36] + (14*t[38])/3 - 8*t[39] + 10*t[40] + 
       (5*t[41])/3 - t[42]/3 + (83*t[43])/12 + (4*t[44])/3 + (13*t[45])/3 + 
       t[46] - 14*t[47] + (15*t[48])/4 - (79*t[49])/12 - (131*t[50])/12 + 
       (157*t[51])/24 - (5*t[52])/12 + (79*t[53])/12 + (109*t[54])/12 + 
       (5*t[58])/3 - 2*t[59] - (125*t[60])/6 - (544*t[61])/3 + 143*t[62] - 
       118*t[63] + (107*t[64])/2 + (239*t[65])/9 + (1090*t[66])/9 + 
       10*t[69] + (14*t[70])/3 - (14*t[71])/3 - (14*t[72])/3 + 8*t[73] + 
       8*t[74] - 8*t[75] - (8*t[76])/3 - (16*t[77])/3 - (4*t[78])/3 + 
       (26*t[80])/3 - (32*t[81])/3 + (32*t[82])/3 + (16*t[83])/3 - 
       (7*t[84])/6 - (49*t[85])/6 - (71*t[86])/3 + (247*t[87])/6 + 
       (271*t[88])/12 + (761*t[89])/12 - (4*t[97])/3 - 16*t[98] + 
       114*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((17*t[1])/3 - 42*t[2] - (191*t[3])/12 - 
       (157*t[4])/2 + (1639*t[5])/24 + (155*t[6])/3 + (207*t[7])/8 + 
       (913*t[8])/8 - (83*t[9])/6 - (311*t[10])/8 + (59*t[11])/8 + 
       (671*t[12])/24 + (16061*t[13])/432 - (1423*t[14])/72 - (75*t[15])/8 + 
       (14*t[18])/3 + 4*t[19] + (2*t[20])/3 + (26*t[21])/3 + (16*t[22])/3 - 
       (26*t[23])/3 + (10*t[24])/3 + 2*t[25] - 2*t[26] - (14*t[27])/3 - 
       8*t[28] - (8*t[29])/3 + 6*t[31] - (4*t[32])/3 + 2*t[33] - 
       (4*t[34])/3 + 4*t[36] + 4*t[37] + (11*t[38])/3 - 6*t[39] + 2*t[40] + 
       t[41]/6 + (13*t[42])/6 - (137*t[43])/24 + (7*t[44])/3 - 
       (137*t[45])/12 + t[46]/2 + (119*t[47])/2 + (125*t[48])/8 - 
       (65*t[49])/6 - (337*t[50])/24 + (217*t[51])/24 + (209*t[52])/24 + 
       (65*t[53])/6 + (497*t[54])/24 + (11*t[58])/3 - 11*t[59] + 
       (155*t[60])/12 - (427*t[61])/12 - (99*t[62])/8 - (1049*t[63])/8 + 
       (2977*t[64])/8 + (4679*t[65])/36 - (683*t[66])/36 - t[69] - 
       (28*t[70])/3 + (28*t[71])/3 - (26*t[72])/3 + 14*t[73] - 12*t[74] - 
       6*t[75] + (4*t[76])/3 - (46*t[77])/3 + (8*t[78])/3 + 16*t[79] + 
       (194*t[80])/3 + (7*t[81])/3 + (5*t[82])/3 - (205*t[83])/6 + 
       (55*t[84])/12 - (89*t[85])/12 + (202*t[86])/3 + (239*t[87])/12 + 
       (239*t[88])/24 + (1501*t[89])/24 - (4*t[97])/3 + 8*t[98] - 20*t[99] + 
       115*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((7*t[1])/2 - (73*t[2])/4 - (13*t[3])/2 + 
       174*t[4] - (707*t[5])/4 - (667*t[6])/8 + 134*t[7] + (501*t[8])/4 + 
       (691*t[9])/4 - (551*t[10])/8 - (251*t[11])/4 + (205*t[12])/8 - 
       (955*t[13])/48 + (1691*t[14])/48 - 116*t[15] - (3*t[17])/2 + 6*t[24] - 
       16*t[31] - (19*t[41])/2 + (19*t[42])/2 - (307*t[43])/4 - (5*t[45])/2 - 
       (47*t[46])/2 + 47*t[47] + (17*t[48])/4 + (745*t[49])/8 + 
       (49*t[50])/4 - (463*t[51])/16 - (49*t[52])/4 - (745*t[53])/8 - 
       (135*t[54])/2 - 16*t[59] - 5*t[60] - 177*t[61] - 312*t[62] + 
       (47*t[63])/2 + 194*t[64] - (557*t[65])/6 + (1361*t[66])/6 + 6*t[67] + 
       12*t[69] - 58*t[74] - 90*t[79] - 109*t[80] - 22*t[81] + 22*t[82] + 
       22*t[83] - 26*t[84] - 5*t[85] + 440*t[86] + 21*t[87] + (21*t[88])/2 + 
       (179*t[89])/2 - 3*t[94] + 120*t[100]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w]*((-39*t[1])/2 - 
       (29*t[2])/4 + (11*t[3])/2 + (253*t[4])/2 - (213*t[5])/4 - 
       (235*t[6])/8 + (481*t[7])/2 + (183*t[8])/4 + (491*t[9])/4 - 
       (1177*t[10])/8 - (29*t[11])/4 + (259*t[12])/8 - (3227*t[13])/48 - 
       (1285*t[14])/16 - (559*t[15])/12 - (15*t[17])/2 - 12*t[21] + 
       12*t[23] + 12*t[24] + 30*t[31] + (3*t[41])/2 - (3*t[42])/2 - 
       (61*t[43])/4 + (25*t[45])/2 - (11*t[46])/2 + 26*t[47] - 
       (123*t[48])/4 + (207*t[49])/8 + (29*t[50])/4 - (141*t[51])/16 - 
       (29*t[52])/4 - (207*t[53])/8 - 24*t[54] - 16*t[59] - 5*t[60] - 
       177*t[61] - 312*t[62] + (47*t[63])/2 + 194*t[64] - (557*t[65])/6 + 
       (1361*t[66])/6 + 6*t[67] + 12*t[69] - 58*t[74] - 90*t[79] - 
       109*t[80] - 22*t[81] + 22*t[82] + 22*t[83] - 26*t[84] - 5*t[85] + 
       440*t[86] + 21*t[87] + (21*t[88])/2 + (179*t[89])/2 - 3*t[94] + 
       120*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((89*t[1])/24 - (605*t[2])/36 + (1547*t[3])/144 - 
       (621*t[4])/16 + (611*t[5])/32 - (4289*t[6])/96 - (919*t[7])/72 - 
       (15*t[8])/8 - (6769*t[9])/288 + (2233*t[10])/144 + (1309*t[11])/144 - 
       (985*t[12])/96 + (377*t[13])/192 - (21761*t[14])/432 - 
       (5137*t[15])/576 - t[16]/2 - (3*t[17])/4 - 14*t[20] - t[21] + 
       7*t[22] + 2*t[24] - (3*t[25])/2 + (23*t[27])/2 - 5*t[29] - t[31] - 
       t[32] - 3*t[33] - (21*t[34])/2 + t[35] - 3*t[36] - t[37] + 5*t[38] + 
       2*t[39] + (5*t[40])/2 + (265*t[41])/72 - (193*t[42])/72 + 
       (425*t[43])/72 + (21*t[44])/2 + (671*t[45])/72 + (133*t[46])/36 + 
       (469*t[47])/36 - (59*t[48])/16 - (1727*t[49])/144 - (2315*t[50])/144 + 
       (1397*t[51])/288 + (659*t[52])/144 + (1655*t[53])/144 - 
       (2555*t[54])/144 + t[56] - (4*t[59])/3 - (2819*t[60])/36 - 
       (281*t[61])/4 - (5681*t[62])/144 - (15257*t[63])/144 + 
       (1047*t[64])/8 + (7411*t[65])/108 - (268*t[66])/9 + t[67]/2 + 
       (5*t[68])/2 - 4*t[69] - 6*t[70] + 6*t[71] - 7*t[72] + 8*t[73] + 
       (119*t[74])/18 - 15*t[75] + (11*t[76])/2 + 2*t[77] - 16*t[78] + 
       (37*t[79])/2 + (415*t[80])/9 - (41*t[81])/36 + (203*t[82])/36 + 
       (107*t[83])/9 - (1031*t[84])/72 + (185*t[85])/18 + (1355*t[86])/18 + 
       (2425*t[87])/36 + (2461*t[88])/72 + (617*t[89])/24 - t[90]/2 + 
       t[92]/2 - 2*t[93] - t[94]/2 - 2*t[97] + 36*t[98] - 86*t[99] + 
       (368*t[100])/3) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-1061*t[1])/72 - (67*t[2])/12 + (995*t[3])/72 + 
       (779*t[4])/24 - (4489*t[5])/144 + (9863*t[6])/144 - (4049*t[7])/48 + 
       (2173*t[8])/16 - (733*t[9])/9 + (197*t[10])/4 - (529*t[11])/8 + 
       (2963*t[12])/72 + (39463*t[13])/2592 - (17767*t[14])/864 - 
       (359*t[15])/72 + (3*t[16])/2 + t[17]/4 + (32*t[18])/9 + 2*t[19] + 
       (35*t[20])/9 + (32*t[21])/9 + (251*t[22])/18 - (32*t[23])/9 - 
       (7*t[24])/18 + (49*t[25])/6 + (149*t[26])/12 + (113*t[27])/18 + 
       12*t[28] + (23*t[29])/18 - (49*t[30])/6 - (4*t[31])/3 + (92*t[32])/9 - 
       (23*t[33])/6 + (71*t[34])/36 - 8*t[35] + (10*t[36])/3 - 4*t[37] - 
       (19*t[38])/36 + (71*t[39])/6 - (71*t[40])/6 + (607*t[41])/72 - 
       (623*t[42])/72 - (403*t[43])/144 - (65*t[44])/36 - (146*t[45])/9 + 
       (13*t[46])/3 - (25*t[47])/6 + (63*t[48])/8 - (655*t[49])/144 - 
       (2107*t[50])/72 - (1271*t[51])/288 + (2933*t[52])/72 + 
       (943*t[53])/144 + (377*t[54])/18 - 2*t[57] + (71*t[58])/36 - 
       (151*t[59])/24 + (133*t[60])/18 - (7789*t[61])/36 + (9931*t[62])/48 - 
       (11399*t[63])/48 + (1267*t[64])/48 + (20329*t[65])/216 + 
       (30137*t[66])/216 - t[68] + (16*t[69])/3 + (11*t[70])/9 - 
       (11*t[71])/9 - (26*t[72])/9 + (49*t[73])/6 - (125*t[74])/6 + 
       (23*t[75])/6 - (125*t[76])/36 - (23*t[77])/18 + (59*t[78])/9 - 
       8*t[79] + (62*t[80])/9 + (25*t[81])/9 - (61*t[82])/9 - 
       (703*t[83])/18 + (659*t[84])/72 + (85*t[85])/9 - (1253*t[86])/36 + 
       (197*t[87])/9 + (197*t[88])/18 + (7231*t[89])/72 + t[90]/2 - t[92]/2 - 
       (79*t[97])/36 + (62*t[98])/3 - 50*t[99] + 129*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((23*t[1])/6 - (87*t[2])/4 + (271*t[3])/12 - (4351*t[4])/48 + 
       (2387*t[5])/32 + (659*t[6])/48 - (745*t[7])/8 + (395*t[8])/6 - 
       (5641*t[9])/32 + (12163*t[10])/96 - 117*t[11] - (1303*t[12])/48 - 
       (32969*t[13])/432 - (4713*t[14])/64 + (55955*t[15])/1728 - 
       (3*t[17])/2 - 11*t[20] - 4*t[21] + (124*t[22])/3 + (10*t[23])/3 - 
       4*t[24] + (23*t[27])/3 - 2*t[28] + (71*t[29])/12 + (11*t[30])/6 - 
       3*t[31] + (35*t[32])/6 - (5*t[33])/2 - (104*t[34])/3 + 5*t[35] + 
       2*t[37] + (49*t[38])/6 + (2*t[39])/3 + (39*t[40])/4 - (31*t[41])/6 + 
       (10*t[42])/3 - (803*t[43])/48 - (79*t[44])/24 + (229*t[45])/4 + 
       t[46]/3 - (129*t[47])/2 + (59*t[48])/16 - (893*t[49])/32 - 
       (739*t[50])/48 + (2995*t[51])/192 + (113*t[52])/16 + (2359*t[53])/96 + 
       (337*t[54])/24 + t[55]/6 + (7*t[56])/6 + (5*t[57])/3 - (37*t[59])/4 - 
       (1659*t[60])/16 - (6731*t[61])/48 + (2761*t[62])/32 - 
       (8659*t[63])/96 + (543*t[64])/32 + (8665*t[65])/144 + 
       (41311*t[66])/144 - t[67]/3 + 4*t[68] - t[69] + (4*t[70])/3 - 
       (4*t[71])/3 + 5*t[72] - 8*t[73] + (17*t[74])/3 + 4*t[75] - 
       (127*t[76])/3 + (4*t[77])/3 + (109*t[78])/6 + 42*t[79] - 
       (733*t[80])/6 - (103*t[81])/3 + (97*t[82])/6 - (41*t[83])/2 - 
       (209*t[84])/48 - (1273*t[85])/48 - (305*t[86])/12 + (4433*t[87])/48 + 
       (4817*t[88])/96 - (2027*t[89])/96 + t[91]/12 - t[93] - (14*t[95])/3 - 
       (23*t[96])/3 - (35*t[97])/6 - 184*t[98] + 176*t[99] + 130*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((143*t[1])/12 + (37*t[2])/3 + (2495*t[3])/48 + (287*t[4])/6 - 
       (7217*t[5])/96 + (2741*t[6])/96 + (151*t[7])/48 - (1979*t[8])/48 + 
       (589*t[9])/32 - (1861*t[10])/24 - (713*t[11])/96 + (1189*t[12])/32 - 
       (22735*t[13])/288 - (1255*t[14])/12 - (34649*t[15])/576 - 
       (2*t[16])/3 - 9*t[25] - (29*t[26])/6 - (8*t[27])/3 - 10*t[28] - 
       (3*t[29])/2 - (7*t[30])/2 - 9*t[31] + 3*t[32] - 3*t[33] - 
       (17*t[34])/6 - 14*t[35] - (20*t[36])/3 - 2*t[37] + (21*t[38])/2 - 
       (17*t[39])/3 - (29*t[40])/4 + (17*t[41])/12 - (17*t[42])/12 - 
       (797*t[43])/24 + (23*t[44])/4 - (27*t[45])/8 - 7*t[46] + 
       (39*t[47])/4 + (1465*t[48])/96 - (267*t[49])/16 + (3605*t[50])/96 + 
       (305*t[51])/24 - (1669*t[52])/96 + (545*t[53])/48 - (2017*t[54])/96 + 
       (9*t[58])/2 - (37*t[59])/4 - (1659*t[60])/16 - (6731*t[61])/48 + 
       (2761*t[62])/32 - (8659*t[63])/96 + (543*t[64])/32 + 
       (8665*t[65])/144 + (41311*t[66])/144 - t[67]/3 + 4*t[68] - t[69] + 
       (4*t[70])/3 - (4*t[71])/3 + 5*t[72] - 8*t[73] + (17*t[74])/3 + 
       4*t[75] - (127*t[76])/3 + (4*t[77])/3 + (109*t[78])/6 + 42*t[79] - 
       (733*t[80])/6 - (103*t[81])/3 + (97*t[82])/6 - (41*t[83])/2 - 
       (209*t[84])/48 - (1273*t[85])/48 - (305*t[86])/12 + (4433*t[87])/48 + 
       (4817*t[88])/96 - (2027*t[89])/96 + t[91]/12 - t[93] - (14*t[95])/3 - 
       (23*t[96])/3 - (35*t[97])/6 - 184*t[98] + 176*t[99] + 130*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*(4*t[1] - 24*t[2] + 
       23*t[3] - 8*t[4] + (49*t[5])/2 - 13*t[6] - 32*t[7] - 46*t[8] - 
       (99*t[9])/2 - 23*t[10] - 23*t[11] - (7*t[12])/2 + (26*t[13])/3 - 
       (155*t[14])/3 - (95*t[15])/12 - 8*t[31] - 8*t[32] + 8*t[33] - 
       8*t[39] + 8*t[40] - 8*t[46] + 2*t[48] + 6*t[49] + (7*t[51])/2 - 
       6*t[53] - 10*t[54] + 8*t[59] - 35*t[60] - 84*t[61] + 19*t[62] + 
       2*t[63] + 74*t[64] + 20*t[65] + (217*t[66])/3 - 16*t[74] - 8*t[76] - 
       8*t[77] - 12*t[79] + 2*t[81] + 6*t[82] - 11*t[84] + 8*t[85] + 
       44*t[86] + 14*t[87] + 7*t[88] + 6*t[89] - 48*t[98] + 132*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*(-8*t[1] - 8*t[2] + 
       10*t[3] - 8*t[4] - (35*t[5])/2 + 6*t[6] + 17*t[7] + 12*t[8] + 
       (13*t[9])/2 - 19*t[10] - 32*t[11] + (75*t[12])/2 - 30*t[13] - 
       (104*t[14])/3 + (11*t[15])/12 + 8*t[26] + 6*t[31] - 8*t[38] + 
       4*t[41] - 4*t[42] - 8*t[45] + 6*t[46] + 20*t[47] - 6*t[48] - 
       13*t[49] - 4*t[50] + (7*t[51])/2 + 4*t[52] + 13*t[53] + 6*t[54] + 
       8*t[59] - 35*t[60] - 84*t[61] + 19*t[62] + 2*t[63] + 74*t[64] + 
       20*t[65] + (217*t[66])/3 - 16*t[74] - 8*t[76] - 8*t[77] - 12*t[79] + 
       2*t[81] + 6*t[82] - 11*t[84] + 8*t[85] + 44*t[86] + 14*t[87] + 
       7*t[88] + 6*t[89] - 48*t[98] + 132*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((43*t[1])/12 - (39*t[2])/4 - (469*t[3])/48 - (351*t[4])/8 + 
       (2915*t[5])/96 - (1733*t[6])/48 + (467*t[7])/8 + (29*t[8])/4 + 
       (2471*t[9])/96 + (189*t[10])/16 + (307*t[11])/4 + (3295*t[12])/96 + 
       (11111*t[13])/216 + (7817*t[14])/144 + (1283*t[15])/576 + 
       (19*t[18])/3 + (4*t[20])/3 + (19*t[21])/3 - t[22]/3 - (19*t[23])/3 + 
       (23*t[24])/3 - 3*t[25] + t[26] + (17*t[27])/3 + (11*t[29])/3 + 
       9*t[30] - (8*t[32])/3 + 4*t[33] + (97*t[34])/3 - 5*t[36] - 
       (13*t[38])/6 - 4*t[39] - 6*t[40] + (85*t[41])/12 - (47*t[42])/12 + 
       (145*t[43])/48 - (35*t[44])/6 - (157*t[45])/12 - (3*t[46])/4 + 
       (49*t[47])/2 - (319*t[48])/16 + (793*t[49])/48 - (37*t[50])/48 - 
       (667*t[51])/96 - (43*t[52])/48 - (793*t[53])/48 + (107*t[54])/48 - 
       t[58]/6 + (11*t[59])/2 + (232*t[60])/3 + (2585*t[61])/24 - 
       (3179*t[62])/16 + (763*t[63])/16 + (455*t[64])/16 + (8651*t[65])/72 - 
       (14585*t[66])/72 - (38*t[70])/3 + (38*t[71])/3 - (4*t[72])/3 - 
       10*t[73] - 12*t[74] + 10*t[75] + (116*t[76])/3 + (61*t[77])/3 - 
       (62*t[78])/3 + (707*t[80])/6 + (53*t[81])/3 + (67*t[82])/3 + 
       (32*t[83])/3 - (7*t[84])/3 + (295*t[85])/6 + (743*t[86])/12 - 
       (529*t[87])/6 - (529*t[88])/12 + (19*t[89])/3 + (4*t[97])/3 + 
       196*t[98] - 222*t[99] + 132*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((97*t[1])/12 - (79*t[2])/12 - 
       (467*t[3])/48 - (325*t[4])/8 - (3023*t[5])/96 - 68*t[6] + 
       (2403*t[7])/16 - (5191*t[8])/48 + (20035*t[9])/96 - (1049*t[10])/24 + 
       (2171*t[11])/24 + (7037*t[12])/96 + (25403*t[13])/864 + 
       (2153*t[14])/48 - (7055*t[15])/192 + (19*t[18])/3 - (16*t[20])/3 + 
       (19*t[21])/3 - (41*t[22])/3 - (19*t[23])/3 + (19*t[24])/3 - 
       (17*t[25])/3 + (7*t[26])/3 + 3*t[27] - (11*t[29])/3 - 9*t[30] + 
       (11*t[31])/3 - (16*t[32])/3 - 4*t[33] + (97*t[34])/3 - 5*t[36] - 
       (13*t[38])/6 + 4*t[39] - (10*t[40])/3 + (31*t[41])/12 + (7*t[42])/12 + 
       (17*t[43])/24 + (61*t[44])/6 - (889*t[45])/24 + (5*t[46])/12 + 
       (319*t[47])/4 - (1607*t[48])/48 - (59*t[49])/16 + (315*t[50])/16 + 
       (283*t[51])/96 - (1537*t[52])/48 + (59*t[53])/16 - (599*t[54])/48 + 
       (7*t[58])/6 + (11*t[59])/2 + (232*t[60])/3 + (2585*t[61])/24 - 
       (3179*t[62])/16 + (763*t[63])/16 + (455*t[64])/16 + (8651*t[65])/72 - 
       (14585*t[66])/72 - (38*t[70])/3 + (38*t[71])/3 - (4*t[72])/3 - 
       10*t[73] - 12*t[74] + 10*t[75] + (116*t[76])/3 + (61*t[77])/3 - 
       (62*t[78])/3 + (707*t[80])/6 + (53*t[81])/3 + (67*t[82])/3 + 
       (32*t[83])/3 - (7*t[84])/3 + (295*t[85])/6 + (743*t[86])/12 - 
       (529*t[87])/6 - (529*t[88])/12 + (19*t[89])/3 + (4*t[97])/3 + 
       196*t[98] - 222*t[99] + 132*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-15*t[1])/2 + 
       (19*t[2])/2 + (57*t[3])/4 - (27*t[4])/2 + (39*t[5])/8 - (53*t[6])/4 - 
       (95*t[7])/4 - (231*t[8])/4 - (115*t[9])/8 + (59*t[10])/2 - 
       (225*t[11])/4 + (19*t[12])/8 - (2449*t[13])/72 - (409*t[14])/12 - 
       (431*t[15])/48 - 4*t[18] - 4*t[21] + 4*t[22] + 4*t[23] - 4*t[24] + 
       4*t[27] + 2*t[30] + 4*t[31] - 2*t[33] - 3*t[34] + 2*t[37] - t[38] - 
       2*t[40] + (5*t[41])/2 - (9*t[42])/2 + 7*t[43] + 6*t[44] - 
       (9*t[45])/2 + t[46] + 6*t[47] - 10*t[48] - (9*t[49])/4 - 
       (13*t[51])/8 + 3*t[52] + (9*t[53])/4 - (3*t[54])/2 - 2*t[58] + 
       (9*t[59])/2 - 52*t[60] - (231*t[61])/2 + (145*t[62])/2 + 
       (121*t[63])/2 - (43*t[64])/4 - 63*t[65] + (215*t[66])/2 + 8*t[70] - 
       8*t[71] - 10*t[72] + 4*t[74] - 3*t[76] + 8*t[77] - 3*t[78] - 6*t[80] - 
       4*t[81] + t[82] - (21*t[84])/2 + (25*t[85])/2 - 29*t[86] + 
       (21*t[87])/2 + (25*t[88])/4 - (11*t[89])/2 - t[97] - 24*t[99] + 
       132*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((13*t[2])/2 + (73*t[3])/4 - (7*t[4])/2 + 
       (307*t[5])/8 + (15*t[6])/4 - 37*t[7] - (75*t[8])/2 - (465*t[9])/8 + 
       (83*t[10])/4 - (115*t[11])/2 - (333*t[12])/8 - (1073*t[13])/36 - 
       43*t[14] + (275*t[15])/48 - 4*t[18] - 2*t[19] - 2*t[20] - 6*t[21] + 
       6*t[23] - 4*t[24] - 4*t[25] + 3*t[26] + 4*t[29] + 2*t[30] - 4*t[34] + 
       2*t[37] - t[38] - 2*t[39] - t[40] - 4*t[41] + 2*t[42] + (43*t[43])/4 - 
       4*t[44] + 2*t[45] - t[46] - 16*t[47] + t[48]/4 + (39*t[49])/4 + 
       (5*t[50])/4 - (53*t[51])/8 + (19*t[52])/4 - (39*t[53])/4 - 
       (19*t[54])/4 - t[58] + (9*t[59])/2 - 52*t[60] - (231*t[61])/2 + 
       (145*t[62])/2 + (121*t[63])/2 - (43*t[64])/4 - 63*t[65] + 
       (215*t[66])/2 + 8*t[70] - 8*t[71] - 10*t[72] + 4*t[74] - 3*t[76] + 
       8*t[77] - 3*t[78] - 6*t[80] - 4*t[81] + t[82] - (21*t[84])/2 + 
       (25*t[85])/2 - 29*t[86] + (21*t[87])/2 + (25*t[88])/4 - (11*t[89])/2 - 
       t[97] - 24*t[99] + 132*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-19*t[1])/2 - (1259*t[2])/48 + (2381*t[3])/32 + 
       (3197*t[4])/24 + (3577*t[5])/64 - (1377*t[6])/32 - (4441*t[7])/24 - 
       (913*t[8])/6 - (45653*t[9])/192 + (519*t[10])/8 - (3899*t[11])/24 - 
       (23555*t[12])/192 - (1613*t[13])/16 - (42709*t[14])/192 - 
       (108223*t[15])/3456 - 9*t[18] + t[19]/2 - (13*t[20])/2 - 
       (21*t[21])/2 + (4*t[22])/3 + (17*t[23])/2 - 2*t[24] - (17*t[25])/6 - 
       (20*t[26])/3 + (7*t[27])/6 - 4*t[28] + (19*t[29])/3 + (125*t[30])/12 + 
       (95*t[31])/6 - (71*t[32])/6 + (34*t[33])/3 - (125*t[34])/4 - t[35] - 
       3*t[36] + (34*t[38])/3 - (139*t[39])/12 + (39*t[40])/2 + 
       (17*t[41])/3 - (43*t[42])/6 + (253*t[43])/32 - (9*t[44])/4 + 
       (407*t[45])/16 - (59*t[46])/24 - (2215*t[47])/24 + (91*t[48])/96 + 
       (193*t[49])/6 - (455*t[50])/32 - (1261*t[51])/96 + (317*t[52])/96 - 
       (455*t[53])/12 - (3935*t[54])/96 + t[56]/4 - t[57] - (23*t[58])/12 + 
       (43*t[59])/8 - (335*t[60])/48 - (3399*t[61])/8 + (12189*t[62])/32 + 
       (3989*t[63])/96 - (14501*t[64])/96 - (1757*t[65])/8 + 
       (38375*t[66])/72 - t[68] + (37*t[69])/3 + (113*t[70])/6 - 
       (113*t[71])/6 - (14*t[72])/3 - (71*t[73])/4 + (111*t[74])/4 + 
       (75*t[75])/4 - (158*t[76])/3 + (53*t[77])/6 + (299*t[78])/12 + 
       5*t[79] - (380*t[80])/3 - (50*t[81])/3 + (319*t[82])/12 - 
       (77*t[83])/4 + (115*t[84])/48 - (721*t[85])/48 - (487*t[86])/3 + 
       (1901*t[87])/48 + (2957*t[88])/96 + (5173*t[89])/96 - 2*t[95] - 
       (7*t[96])/2 - (25*t[97])/12 - 149*t[98] + 119*t[99] + 
       (285*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((77*t[1])/12 - (17*t[2])/4 + 
       (2749*t[3])/96 + (189*t[4])/8 - (269*t[5])/64 - (47*t[6])/24 - 
       (1951*t[7])/24 - (277*t[8])/48 - (5405*t[9])/64 - (847*t[10])/24 - 
       (7367*t[11])/96 - (8677*t[12])/192 - (20401*t[13])/432 - 
       (46883*t[14])/576 - (14293*t[15])/3456 - (5*t[18])/3 + t[19] - 
       (5*t[20])/3 + (4*t[21])/3 + (19*t[22])/3 - (4*t[23])/3 - 6*t[24] - 
       t[25]/3 + 2*t[26] + t[27]/3 + 2*t[29] - (23*t[30])/6 + (7*t[31])/6 - 
       (5*t[33])/3 - (65*t[34])/3 + 4*t[36] + (9*t[38])/2 + (8*t[39])/3 + 
       (13*t[40])/6 - (13*t[41])/6 + (7*t[42])/3 + (181*t[43])/96 + 
       (13*t[44])/6 + (269*t[45])/24 + (79*t[46])/12 - (85*t[47])/4 + 
       (67*t[48])/4 - (275*t[49])/16 - (103*t[50])/12 + (125*t[51])/32 + 
       (131*t[52])/12 + (275*t[53])/16 + (47*t[54])/24 + (5*t[58])/6 - 
       (15*t[59])/2 - (1903*t[60])/24 - (10247*t[61])/48 + (15725*t[62])/96 - 
       (13037*t[63])/96 + (2869*t[64])/32 - (4163*t[65])/144 + 
       (23213*t[66])/144 - (11*t[69])/3 - (4*t[70])/3 + (4*t[71])/3 - 
       (14*t[72])/3 + (55*t[73])/6 + (25*t[74])/3 - (55*t[75])/6 - 
       (55*t[76])/2 - (20*t[77])/3 + 11*t[78] - (461*t[80])/12 - 
       (221*t[81])/12 - (139*t[82])/12 - (21*t[83])/2 - (37*t[84])/12 - 
       (237*t[85])/8 - (71*t[86])/8 + (1943*t[87])/24 + (1943*t[88])/48 + 
       (2131*t[89])/48 - (23*t[97])/6 - 160*t[98] + 146*t[99] + 
       (315*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((45*t[1])/2 - (549*t[2])/8 - 22*t[3] - 
       (279*t[4])/4 + (2019*t[5])/16 - (257*t[6])/8 - (31*t[7])/2 + 31*t[8] - 
       (1849*t[9])/16 + (79*t[10])/2 + 95*t[11] - (845*t[12])/16 + 
       (1081*t[13])/18 + (167*t[14])/3 + (5675*t[15])/96 + (3*t[17])/2 + 
       (13*t[18])/2 - 6*t[19] - 2*t[20] + 3*t[21] + (55*t[22])/2 + 2*t[23] - 
       (11*t[24])/2 + 2*t[25] - (25*t[26])/4 + 2*t[29] - 6*t[30] + 19*t[31] - 
       8*t[32] + 6*t[33] - (35*t[34])/2 + 28*t[35] + 13*t[37] + 
       (19*t[38])/2 - 6*t[39] + (79*t[40])/4 - 11*t[41] + (27*t[42])/2 + 
       (181*t[43])/8 - 2*t[44] + (125*t[45])/4 + t[46]/4 - 16*t[47] - 
       (75*t[48])/4 + 11*t[49] - (123*t[50])/4 + (33*t[51])/16 + 
       (43*t[52])/4 - 11*t[53] - (61*t[54])/2 - (5*t[58])/4 - (35*t[59])/8 + 
       (777*t[60])/8 + (635*t[61])/8 - (1173*t[62])/16 + (229*t[63])/16 + 
       (1845*t[64])/16 + (187*t[65])/12 - (1405*t[66])/6 + (11*t[67])/4 + 
       6*t[69] - 28*t[70] + (55*t[71])/2 - 2*t[72] - (39*t[74])/2 + 3*t[75] + 
       (23*t[76])/2 + 14*t[77] - (37*t[78])/4 - 36*t[79] + (91*t[80])/2 + 
       2*t[81] - (19*t[82])/2 - (13*t[83])/2 + t[84]/4 + (461*t[85])/8 + 
       26*t[86] - (589*t[87])/8 - (589*t[88])/16 + (571*t[89])/16 - 
       (3*t[94])/2 - (7*t[97])/4 + 42*t[98] - 66*t[99] + 159*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((29*t[1])/2 - (73*t[2])/4 + (111*t[3])/4 + 47*t[4] + (21*t[5])/2 - 
       (63*t[6])/8 + (1781*t[7])/8 + (927*t[8])/8 + (843*t[9])/8 - 
       (1239*t[10])/8 + 174*t[11] + (25*t[12])/2 + (13751*t[13])/144 - 
       (51*t[14])/8 - (3751*t[15])/144 + (3*t[16])/2 + t[17] + 12*t[18] - 
       4*t[19] + 4*t[20] + 26*t[21] - 14*t[22] - 26*t[23] + 26*t[24] + 
       3*t[25] + 7*t[26] + 6*t[27] + t[29] - 6*t[30] - 4*t[31] - 7*t[32] - 
       5*t[33] + 34*t[34] - 3*t[36] - 12*t[37] - 4*t[38] + 19*t[39] + 
       6*t[41] + 3*t[42] - (175*t[43])/8 + (45*t[44])/2 - (153*t[45])/4 + 
       (9*t[46])/2 + (189*t[47])/2 + (249*t[48])/4 - (113*t[49])/4 + 
       (109*t[50])/4 + (45*t[51])/8 - (197*t[52])/4 + (61*t[53])/4 - 
       (235*t[54])/4 - 2*t[55] + 3*t[58] - (9*t[59])/2 + (423*t[60])/4 + 
       (519*t[61])/4 - (2335*t[62])/8 - (4041*t[63])/8 + (1315*t[64])/8 + 
       (3415*t[65])/6 - (611*t[66])/6 - (7*t[67])/2 - 10*t[68] + 8*t[69] - 
       20*t[70] + 20*t[71] + 12*t[72] - 21*t[74] - 10*t[76] + 55*t[78] + 
       138*t[80] + (3*t[81])/2 + (73*t[82])/2 + 12*t[83] + 76*t[84] - 
       (71*t[85])/4 + 225*t[86] + (19*t[87])/4 + (307*t[88])/8 + 
       (1919*t[89])/8 - 3*t[92] + 3*t[94] - 8*t[95] - 8*t[96] - 2*t[97] - 
       108*t[98] + 120*t[99] + 162*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*(16*t[1] + (5*t[2])/4 - (461*t[3])/4 - 
       (791*t[4])/4 - (59*t[5])/2 + 47*t[6] + (637*t[7])/8 + (2303*t[8])/8 + 
       (1087*t[9])/8 - (57*t[10])/2 + (241*t[11])/8 + (765*t[12])/8 + 
       (3017*t[13])/48 + (1417*t[14])/16 + (941*t[15])/48 + (9*t[16])/2 + 
       t[17] + 18*t[18] + 4*t[19] + 4*t[20] + 22*t[21] + 4*t[22] - 22*t[23] + 
       17*t[24] - 17*t[25] + 15*t[26] + 14*t[27] - 5*t[29] + 2*t[30] + 
       4*t[31] + 25*t[32] + 14*t[33] + 16*t[34] + 11*t[36] - 16*t[37] + 
       2*t[38] - 3*t[39] - 10*t[40] + (25*t[41])/2 - (7*t[42])/2 - 
       (47*t[43])/8 - (41*t[44])/2 + (27*t[45])/4 + 35*t[46] + 
       (141*t[47])/2 + (77*t[48])/8 - (717*t[49])/8 - (19*t[50])/8 + 
       (355*t[51])/16 + (43*t[52])/8 + (805*t[53])/8 + (1349*t[54])/8 + 
       2*t[55] + 7*t[58] - (9*t[59])/2 + (423*t[60])/4 + (519*t[61])/4 - 
       (2335*t[62])/8 - (4041*t[63])/8 + (1315*t[64])/8 + (3415*t[65])/6 - 
       (611*t[66])/6 - (7*t[67])/2 - 10*t[68] + 8*t[69] - 20*t[70] + 
       20*t[71] + 12*t[72] - 21*t[74] - 10*t[76] + 55*t[78] + 138*t[80] + 
       (3*t[81])/2 + (73*t[82])/2 + 12*t[83] + 76*t[84] - (71*t[85])/4 + 
       225*t[86] + (19*t[87])/4 + (307*t[88])/8 + (1919*t[89])/8 - 3*t[92] + 
       3*t[94] - 8*t[95] - 8*t[96] - 2*t[97] - 108*t[98] + 120*t[99] + 
       162*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((13*t[1])/6 - (13*t[2])/2 + (83*t[3])/24 - 
       (97*t[4])/4 + (917*t[5])/48 + (749*t[6])/48 - (19*t[7])/4 - 
       (53*t[8])/4 - (223*t[9])/48 - 8*t[10] - (887*t[11])/16 - 
       (1091*t[12])/48 - (1775*t[13])/216 - (1979*t[14])/36 - 
       (6211*t[15])/288 + t[16]/2 + (2*t[18])/3 + (2*t[20])/3 + (2*t[21])/3 + 
       (4*t[22])/3 - (2*t[23])/3 + (4*t[24])/3 - (5*t[25])/2 + (7*t[26])/2 + 
       (4*t[27])/3 + (4*t[29])/3 - 14*t[30] + 2*t[31] - (4*t[32])/3 + 
       2*t[33] - (16*t[34])/3 + 5*t[36] + (5*t[37])/2 + (5*t[38])/3 + 
       t[39]/2 - (9*t[40])/2 - (5*t[41])/6 + (7*t[42])/6 - (65*t[43])/24 + 
       (22*t[44])/3 + t[45]/3 - (3*t[46])/4 + 10*t[47] + (75*t[48])/16 + 
       (71*t[49])/12 + (313*t[50])/48 + (43*t[51])/24 - (41*t[52])/48 + 
       t[53]/12 + (67*t[54])/48 + (5*t[58])/3 - (9*t[59])/4 - 
       (1181*t[60])/24 - (839*t[61])/6 + (611*t[62])/16 - (1759*t[63])/16 + 
       (385*t[64])/4 + (2753*t[65])/36 + (1285*t[66])/36 - t[68] + 2*t[69] - 
       (10*t[70])/3 + (10*t[71])/3 - (17*t[72])/3 + 4*t[73] - 2*t[74] - 
       2*t[75] + (67*t[76])/3 + (23*t[77])/3 - (251*t[78])/6 + (32*t[80])/3 - 
       (29*t[81])/12 - (157*t[82])/12 - (14*t[83])/3 - (5*t[84])/12 + 
       (647*t[85])/24 + (167*t[86])/6 + (541*t[87])/24 - (227*t[88])/48 + 
       (194*t[89])/3 - t[90]/2 + 4*t[95] + 3*t[96] - (29*t[97])/6 + 
       116*t[98] - 184*t[99] + 163*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((221*t[1])/24 - (40*t[2])/3 + 
       (91*t[3])/24 - (1807*t[4])/12 + (2513*t[5])/24 - (3479*t[6])/48 + 
       (1861*t[7])/24 + (1471*t[8])/24 - (247*t[9])/8 - (595*t[10])/8 + 
       (6073*t[11])/48 + (955*t[12])/12 + (3109*t[13])/108 - (688*t[14])/9 + 
       (2287*t[15])/216 + t[17]/4 - (26*t[18])/3 + (40*t[20])/3 - 
       (29*t[21])/3 - (61*t[22])/6 + (20*t[23])/3 - (113*t[24])/6 + 
       (4*t[25])/3 - (35*t[26])/6 + 5*t[27] - 10*t[28] - (2*t[29])/3 + 
       (35*t[30])/6 - (61*t[31])/3 + (5*t[32])/3 - (47*t[33])/6 + 
       (205*t[34])/12 + 10*t[35] - 7*t[36] + 4*t[37] - t[38]/4 - 
       (25*t[39])/6 + (121*t[41])/24 - (11*t[42])/8 + (71*t[43])/6 - 
       (73*t[44])/3 + (37*t[45])/24 + (31*t[46])/3 + (407*t[47])/12 - 
       (971*t[48])/48 - (118*t[49])/3 + (629*t[50])/48 + (129*t[51])/16 - 
       (1001*t[52])/48 + (239*t[53])/6 + (605*t[54])/16 - t[56]/2 - 2*t[57] - 
       5*t[58] + (23*t[59])/8 - (375*t[60])/2 + (1717*t[61])/12 - 
       (4477*t[62])/16 + (7775*t[63])/48 + (24547*t[64])/48 + 
       (15791*t[65])/72 + (6239*t[66])/72 - t[68]/2 + (2*t[69])/3 + t[70] - 
       t[71] + (34*t[72])/3 - (55*t[73])/2 - (5*t[74])/2 + (59*t[75])/2 + 
       (31*t[76])/3 + (13*t[77])/2 + (59*t[78])/12 + 40*t[79] + 134*t[80] - 
       (74*t[81])/3 + (149*t[82])/2 + (115*t[83])/6 - (487*t[84])/24 - 
       (227*t[85])/4 + (747*t[86])/4 + (995*t[87])/12 + (995*t[88])/24 - 
       (227*t[89])/6 - 2*t[92] + 2*t[93] + (53*t[97])/12 + 6*t[98] - 
       2*t[99] + 175*t[100]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*
      ((11*t[1])/12 - (613*t[2])/24 + (277*t[3])/24 + (483*t[4])/16 - 
       (7321*t[5])/96 + (405*t[6])/32 - (271*t[7])/8 + (733*t[8])/12 + 
       (4517*t[9])/96 - (8311*t[10])/96 - (3137*t[11])/96 + (2195*t[12])/48 + 
       (545*t[13])/108 - (11801*t[14])/192 - (20299*t[15])/576 - t[16]/4 + 
       t[17]/2 + (5*t[18])/3 + (4*t[20])/3 + (5*t[21])/3 + (8*t[22])/3 - 
       (5*t[23])/3 + (5*t[24])/3 + t[25]/6 + (2*t[26])/3 + (9*t[27])/2 + 
       t[28] + (89*t[29])/12 - 5*t[30] - (20*t[31])/3 + (19*t[32])/3 - 
       t[33] - (59*t[34])/6 - 4*t[35] + (25*t[36])/2 - 2*t[37] - 
       (4*t[38])/3 - (67*t[40])/6 + (11*t[41])/3 - (17*t[42])/6 - 
       (595*t[43])/48 - (85*t[44])/24 - (19*t[45])/3 + (25*t[46])/12 + 
       27*t[47] + (1801*t[48])/96 - (631*t[49])/32 + (23*t[50])/32 + 
       (1315*t[51])/192 + (1163*t[52])/96 + (647*t[53])/32 - (755*t[54])/96 - 
       (3*t[56])/2 - 3*t[57] + (11*t[58])/6 - 6*t[59] - (691*t[60])/12 - 
       (3077*t[61])/24 + (1281*t[62])/16 - (3389*t[63])/16 + 
       (2355*t[64])/16 + (3857*t[65])/36 - (347*t[66])/36 + t[67] + 
       (3*t[68])/2 - t[69] - (22*t[70])/3 + (22*t[71])/3 + (17*t[72])/6 + 
       18*t[73] - 40*t[74] - 19*t[75] - (293*t[76])/12 - (19*t[77])/3 + 
       (161*t[78])/12 + 4*t[79] + (7*t[80])/6 + (7*t[81])/12 - 
       (223*t[82])/12 - (109*t[83])/6 + (71*t[84])/24 - (20*t[85])/3 + 
       (685*t[86])/12 + (164*t[87])/3 + (82*t[88])/3 + (1723*t[89])/24 + 
       t[92] + 2*t[93] - t[94] - (23*t[97])/6 - 148*t[98] + 158*t[99] + 
       183*t[100]) + HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      ((107*t[1])/12 - 46*t[2] + (1463*t[3])/24 - (55*t[4])/16 + 
       (5173*t[5])/96 + (2143*t[6])/96 - (983*t[7])/16 + (665*t[8])/16 - 
       (13223*t[9])/96 + (715*t[10])/32 - (957*t[11])/32 - (143*t[12])/48 + 
       (34177*t[13])/864 - (64205*t[14])/576 - (4483*t[15])/576 + t[16]/2 + 
       (3*t[17])/4 + (11*t[18])/3 + 4*t[19] + (17*t[20])/3 + (17*t[21])/3 - 
       (67*t[22])/6 - (31*t[23])/6 - (37*t[24])/6 - 5*t[25] + (39*t[26])/4 - 
       (5*t[27])/3 + 6*t[28] - (35*t[29])/12 - (3*t[30])/2 + 2*t[31] - 
       (47*t[32])/6 + 16*t[33] - (76*t[34])/3 + 2*t[35] + 2*t[36] - t[37] + 
       (49*t[38])/6 - 13*t[39] + 16*t[40] - (7*t[41])/3 + (25*t[42])/6 + 
       (35*t[43])/12 + (167*t[44])/24 + (203*t[45])/24 - (29*t[46])/4 + 
       (27*t[47])/4 + (221*t[48])/32 - (1223*t[49])/96 - (1669*t[50])/96 + 
       (3413*t[51])/192 - (427*t[52])/96 + (1127*t[53])/96 + (659*t[54])/96 - 
       2*t[56] + 5*t[57] + (23*t[58])/12 - 6*t[59] - (691*t[60])/12 - 
       (3077*t[61])/24 + (1281*t[62])/16 - (3389*t[63])/16 + 
       (2355*t[64])/16 + (3857*t[65])/36 - (347*t[66])/36 + t[67] + 
       (3*t[68])/2 - t[69] - (22*t[70])/3 + (22*t[71])/3 + (17*t[72])/6 + 
       18*t[73] - 40*t[74] - 19*t[75] - (293*t[76])/12 - (19*t[77])/3 + 
       (161*t[78])/12 + 4*t[79] + (7*t[80])/6 + (7*t[81])/12 - 
       (223*t[82])/12 - (109*t[83])/6 + (71*t[84])/24 - (20*t[85])/3 + 
       (685*t[86])/12 + (164*t[87])/3 + (82*t[88])/3 + (1723*t[89])/24 + 
       t[92] + 2*t[93] - t[94] - (23*t[97])/6 - 148*t[98] + 158*t[99] + 
       183*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-7*t[1])/3 - (52*t[2])/3 + (105*t[3])/2 + 
       (19*t[4])/2 - (59*t[5])/6 - (109*t[6])/6 + (71*t[7])/3 - 
       (151*t[8])/2 + 7*t[9] + (89*t[10])/12 - (577*t[11])/12 - 
       (73*t[12])/12 - (629*t[13])/72 - (5083*t[14])/72 - (707*t[15])/54 + 
       t[17] - 5*t[18] - 2*t[19] - 15*t[20] + (31*t[22])/3 + (20*t[23])/3 - 
       t[24]/3 + (16*t[27])/3 + 6*t[29] + (25*t[30])/3 - 24*t[32] + 
       (16*t[33])/3 + (44*t[34])/3 + (11*t[37])/3 - (14*t[39])/3 + 
       (46*t[40])/3 - 7*t[41] + (16*t[42])/3 - 4*t[43] + (47*t[44])/6 - 
       (32*t[45])/3 - t[46]/3 + (47*t[47])/3 - (77*t[48])/4 - (47*t[49])/12 + 
       (119*t[50])/12 + (29*t[51])/24 - (125*t[52])/4 + (47*t[53])/12 - 
       (105*t[54])/4 - 2*t[59] - (317*t[60])/3 - 186*t[61] + 
       (1399*t[62])/12 - (85*t[63])/4 - (19*t[64])/2 + (479*t[65])/9 + 
       (1019*t[66])/9 - (5*t[67])/3 + 9*t[69] - (13*t[70])/3 + (13*t[71])/3 - 
       3*t[72] - 6*t[74] + (16*t[76])/3 - (20*t[77])/3 - (13*t[78])/3 - 
       (56*t[80])/3 + t[81] + (26*t[82])/3 + 6*t[83] - (25*t[84])/3 + 
       (163*t[85])/6 - (28*t[86])/3 + (167*t[87])/6 - (121*t[88])/12 + 
       (167*t[89])/4 + 2*t[90] + (16*t[95])/3 + (16*t[96])/3 - (14*t[97])/3 + 
       64*t[98] - 60*t[99] + 189*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*((4*t[1])/3 + (9*t[2])/2 + (119*t[3])/6 - 
       (145*t[4])/6 + (19*t[5])/3 - (37*t[6])/2 - 23*t[7] - 44*t[8] - 
       (104*t[9])/3 - (61*t[10])/12 - 78*t[11] - (27*t[12])/4 - 
       (1196*t[13])/27 - (353*t[14])/6 - (77*t[15])/9 - 15*t[25] + 11*t[26] + 
       (13*t[27])/3 + 2*t[31] + (8*t[36])/3 - t[37] + 4*t[38] - 
       (10*t[39])/3 - (4*t[40])/3 + (2*t[43])/3 - t[44] + (8*t[45])/3 + 
       (16*t[46])/3 - (16*t[47])/3 - (5*t[48])/2 + (41*t[49])/12 + 
       (65*t[50])/6 + (3*t[51])/4 - (3*t[52])/2 + (45*t[53])/4 + 
       (13*t[54])/3 - 2*t[59] - (317*t[60])/3 - 186*t[61] + (1399*t[62])/12 - 
       (85*t[63])/4 - (19*t[64])/2 + (479*t[65])/9 + (1019*t[66])/9 - 
       (5*t[67])/3 + 9*t[69] - (13*t[70])/3 + (13*t[71])/3 - 3*t[72] - 
       6*t[74] + (16*t[76])/3 - (20*t[77])/3 - (13*t[78])/3 - (56*t[80])/3 + 
       t[81] + (26*t[82])/3 + 6*t[83] - (25*t[84])/3 + (163*t[85])/6 - 
       (28*t[86])/3 + (167*t[87])/6 - (121*t[88])/12 + (167*t[89])/4 + 
       2*t[90] + (16*t[95])/3 + (16*t[96])/3 - (14*t[97])/3 + 64*t[98] - 
       60*t[99] + 189*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*(-2*t[1] + (97*t[2])/12 - (94*t[3])/3 - 
       (265*t[4])/4 - 101*t[5] - (1031*t[6])/8 + (4193*t[7])/24 + 
       (513*t[8])/8 + (4385*t[9])/24 + (1319*t[10])/24 + (2867*t[11])/24 + 
       (581*t[12])/4 + (1667*t[13])/12 + (5417*t[14])/72 - (1919*t[15])/48 + 
       9*t[16] + (3*t[17])/2 + 6*t[18] + 6*t[21] - 6*t[23] + 6*t[24] - 
       3*t[25] + 12*t[26] + 15*t[27] + 24*t[28] + 6*t[31] + 6*t[34] + 
       18*t[36] + 12*t[39] + (20*t[41])/3 - (11*t[42])/3 - (805*t[43])/24 + 
       3*t[44] + (349*t[45])/12 - (53*t[46])/3 + (251*t[47])/6 - 
       (303*t[48])/8 - (331*t[49])/6 + (347*t[50])/24 + (481*t[51])/12 - 
       (491*t[52])/24 + (331*t[53])/6 + (509*t[54])/24 - 16*t[59] + 
       (25*t[60])/3 + 43*t[61] - (3979*t[62])/6 - (2593*t[63])/6 + 
       (739*t[64])/2 + (9089*t[65])/18 - (1949*t[66])/6 - 3*t[67] - 
       15*t[68] - 12*t[70] + 12*t[71] + 96*t[72] - (176*t[74])/3 + 12*t[76] - 
       6*t[77] - 12*t[78] - 16*t[79] - (179*t[80])/3 + (46*t[81])/3 - 
       (28*t[82])/3 + (8*t[83])/3 + (320*t[84])/3 - (47*t[85])/3 + 
       (1825*t[86])/3 + (91*t[87])/3 + (91*t[88])/6 + (817*t[89])/4 + 
       3*t[90] - 3*t[92] + 12*t[93] + 3*t[94] + 72*t[98] - 108*t[99] + 
       194*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*(27*t[1] + (217*t[2])/12 - (193*t[3])/3 - 
       (189*t[4])/4 - (607*t[5])/4 - (557*t[6])/8 + (7841*t[7])/24 + 
       (1877*t[8])/8 + (7307*t[9])/24 + (1175*t[10])/24 + (2117*t[11])/24 - 
       4*t[12] + (307*t[13])/4 + (1895*t[14])/72 - (3869*t[15])/48 + 
       3*t[16] + (9*t[17])/2 + 6*t[18] + 6*t[21] - 6*t[22] - 6*t[23] - 
       12*t[24] - 15*t[25] - 9*t[27] - 82*t[31] - 30*t[33] + 6*t[34] + 
       6*t[36] + 18*t[38] + 18*t[39] + 12*t[40] - (4*t[41])/3 + 
       (10*t[42])/3 - (1381*t[43])/24 + 3*t[44] + (277*t[45])/12 - 
       (35*t[46])/3 + (323*t[47])/6 + (619*t[48])/8 + (124*t[49])/3 + 
       (2681*t[50])/24 - (38*t[51])/3 - (2969*t[52])/24 - (124*t[53])/3 - 
       (697*t[54])/24 - 6*t[56] - 16*t[59] + (25*t[60])/3 + 43*t[61] - 
       (3979*t[62])/6 - (2593*t[63])/6 + (739*t[64])/2 + (9089*t[65])/18 - 
       (1949*t[66])/6 - 3*t[67] - 15*t[68] - 12*t[70] + 12*t[71] + 96*t[72] - 
       (176*t[74])/3 + 12*t[76] - 6*t[77] - 12*t[78] - 16*t[79] - 
       (179*t[80])/3 + (46*t[81])/3 - (28*t[82])/3 + (8*t[83])/3 + 
       (320*t[84])/3 - (47*t[85])/3 + (1825*t[86])/3 + (91*t[87])/3 + 
       (91*t[88])/6 + (817*t[89])/4 + 3*t[90] - 3*t[92] + 12*t[93] + 
       3*t[94] + 72*t[98] - 108*t[99] + 194*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*(-6*t[1] - 16*t[2] + 
       (403*t[3])/2 + (1277*t[4])/4 - (1619*t[5])/8 - (981*t[6])/8 - 
       (63*t[7])/8 - (3995*t[8])/8 + (261*t[9])/4 - 176*t[10] - 
       (1889*t[11])/8 - (121*t[12])/2 - (2987*t[13])/24 - (9221*t[14])/48 - 
       (673*t[15])/6 - 6*t[17] - 8*t[18] + 6*t[20] - 15*t[22] + 2*t[23] + 
       12*t[24] - 6*t[27] + 12*t[28] + 8*t[29] + 6*t[30] + 6*t[31] + 
       12*t[32] + 24*t[34] + 2*t[35] - 6*t[38] + 12*t[39] - 21*t[40] - 
       34*t[41] + (85*t[42])/2 - (441*t[43])/8 + 24*t[44] - 54*t[45] + 
       (75*t[46])/2 + 36*t[47] - (267*t[48])/8 + (237*t[49])/8 + 
       (285*t[50])/8 - (663*t[51])/16 - (141*t[52])/8 - (237*t[53])/8 - 
       (311*t[54])/8 - 14*t[59] + 22*t[60] - (705*t[61])/2 + (3673*t[62])/8 + 
       (3287*t[63])/8 - (6357*t[64])/8 - (641*t[65])/6 + 394*t[66] + t[67] + 
       6*t[69] + 36*t[73] - 66*t[74] - 34*t[75] + 65*t[76] - 12*t[77] - 
       57*t[78] + 32*t[79] - 282*t[80] - 22*t[81] + 26*t[82] + 30*t[83] - 
       29*t[84] + 37*t[85] - (1027*t[86])/2 - 77*t[87] - (77*t[88])/2 - 
       (265*t[89])/4 + 3*t[97] + 324*t[98] - 324*t[99] + 198*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-43*t[1] - (165*t[2])/2 - 136*t[3] - (327*t[4])/2 + (1817*t[5])/8 + 
       (493*t[6])/8 - 178*t[7] - (77*t[8])/4 - (1557*t[9])/8 + 
       (4971*t[10])/8 - (1755*t[11])/8 + (477*t[12])/4 + t[13]/8 + 
       (6445*t[14])/48 + (2663*t[15])/16 - 4*t[16] - 6*t[21] + 9*t[23] - 
       6*t[24] + 8*t[25] - 5*t[26] + (3*t[29])/2 - t[30] + 30*t[31] - 
       6*t[32] + 6*t[33] + 3*t[34] + 2*t[36] + 6*t[37] - 6*t[38] + 
       (9*t[39])/2 + (3*t[40])/2 + 21*t[41] - (39*t[42])/2 + (147*t[43])/4 + 
       (15*t[44])/2 + (471*t[45])/4 + (25*t[46])/2 - (525*t[47])/2 - 
       (517*t[48])/8 + (99*t[49])/8 + (79*t[50])/8 - (93*t[51])/16 - 
       (199*t[52])/8 - (99*t[53])/8 - (193*t[54])/8 - 3*t[58] - 14*t[59] + 
       22*t[60] - (705*t[61])/2 + (3673*t[62])/8 + (3287*t[63])/8 - 
       (6357*t[64])/8 - (641*t[65])/6 + 394*t[66] + t[67] + 6*t[69] + 
       36*t[73] - 66*t[74] - 34*t[75] + 65*t[76] - 12*t[77] - 57*t[78] + 
       32*t[79] - 282*t[80] - 22*t[81] + 26*t[82] + 30*t[83] - 29*t[84] + 
       37*t[85] - (1027*t[86])/2 - 77*t[87] - (77*t[88])/2 - (265*t[89])/4 + 
       3*t[97] + 324*t[98] - 324*t[99] + 198*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (6*t[1] - 6*t[2] + (141*t[3])/4 - 9*t[4] + (429*t[5])/8 - 30*t[6] - 
       134*t[7] - (27*t[8])/2 - (1275*t[9])/8 + (9*t[10])/2 - (347*t[11])/4 - 
       (477*t[12])/8 - (1061*t[13])/18 - (2437*t[14])/24 + (2239*t[15])/144 - 
       4*t[18] - 2*t[20] - 4*t[21] + 12*t[22] + 4*t[23] - 12*t[24] - 
       2*t[25] + 3*t[26] + 6*t[27] + 6*t[29] - 8*t[31] - 2*t[33] - 20*t[34] + 
       4*t[36] + 3*t[38] + 2*t[39] + 6*t[40] - 4*t[41] + 2*t[42] + 
       (41*t[43])/4 + 2*t[44] + 9*t[45] + 12*t[46] - 22*t[47] + 16*t[48] - 
       17*t[49] - 16*t[50] + t[51]/2 + 16*t[52] + 17*t[53] - 8*t[54] - 
       t[58] - 5*t[59] - (267*t[60])/2 - 330*t[61] + (825*t[62])/4 - 
       (321*t[63])/4 + 153*t[64] - (293*t[65])/6 + 271*t[66] - 6*t[69] - 
       2*t[70] + 2*t[71] - 2*t[72] + 8*t[73] + 12*t[74] - 8*t[75] - 
       15*t[76] - 4*t[77] - 4*t[78] + 4*t[80] - 21*t[81] + 8*t[82] - 
       12*t[83] - 16*t[84] - 22*t[85] - 17*t[86] + 94*t[87] + 47*t[88] + 
       (71*t[89])/4 - 2*t[97] - 72*t[98] + 24*t[99] + 198*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-13*t[1])/2 - 6*t[2] + (49*t[3])/2 + (93*t[4])/4 - (313*t[5])/8 - 
       (5*t[6])/4 - (165*t[7])/4 - (21*t[8])/4 - (241*t[9])/8 + 
       (201*t[10])/8 - (87*t[11])/2 + (107*t[12])/4 - (2059*t[13])/72 - 
       (2467*t[14])/48 - (519*t[15])/16 + 4*t[18] + 4*t[20] + 4*t[21] + 
       2*t[22] - 4*t[23] + 8*t[24] - 6*t[25] + 6*t[26] + 2*t[27] + 3*t[28] + 
       2*t[29] + 3*t[30] + 9*t[31] - 2*t[32] + 6*t[33] - 5*t[34] + 4*t[38] - 
       3*t[39] + 3*t[40] + (11*t[41])/2 - (7*t[42])/2 - (37*t[43])/2 + 
       2*t[44] + (37*t[45])/2 + (3*t[46])/2 - 27*t[47] + (21*t[48])/4 - 
       (91*t[49])/8 - (19*t[50])/4 + (97*t[51])/16 - t[52]/4 + (91*t[53])/8 + 
       8*t[54] + 4*t[58] - 6*t[59] - t[60]/2 - 80*t[61] + (105*t[62])/2 - 
       (273*t[63])/2 - 51*t[64] + (208*t[65])/3 + (209*t[66])/3 + 6*t[69] - 
       2*t[70] + 2*t[71] + 2*t[72] - 10*t[76] + 4*t[77] + 4*t[78] - 
       62*t[80] - 10*t[81] - 2*t[82] - 10*t[83] + t[84]/2 - (17*t[85])/2 - 
       49*t[86] + (59*t[87])/2 + (59*t[88])/4 + (229*t[89])/4 - 2*t[97] - 
       96*t[98] + 72*t[99] + 198*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((413*t[1])/24 + 
       (421*t[2])/18 + (4381*t[3])/144 - (83*t[4])/16 + (449*t[5])/96 + 
       (707*t[6])/96 + (235*t[7])/72 + (143*t[8])/6 - (15761*t[9])/288 - 
       (5111*t[10])/72 - (2347*t[11])/144 - (2023*t[12])/96 - 
       (8827*t[13])/1728 - (68501*t[14])/864 - (8029*t[15])/576 - 
       (3*t[16])/2 - t[17]/4 + (5*t[18])/3 + 2*t[19] - (2*t[20])/3 + 
       (11*t[21])/3 + (8*t[22])/3 - (11*t[23])/3 - t[24]/3 - (53*t[25])/6 + 
       (55*t[26])/6 + (7*t[27])/2 - 2*t[28] + (5*t[29])/3 + (7*t[30])/2 - 
       (55*t[31])/6 + (23*t[32])/6 - (9*t[33])/2 - (29*t[34])/6 - 11*t[35] - 
       t[36] - 4*t[37] + (17*t[38])/3 + t[39]/2 - (17*t[40])/3 - 
       (163*t[41])/72 + (223*t[42])/72 + t[43]/72 + (5*t[44])/6 - 
       (61*t[45])/9 + (62*t[46])/9 + (164*t[47])/9 + (431*t[48])/48 - 
       (385*t[49])/36 + (2189*t[50])/144 - (49*t[51])/36 - (917*t[52])/144 + 
       (421*t[53])/36 - (1381*t[54])/144 + (11*t[58])/6 - (31*t[59])/6 - 
       (4087*t[60])/36 - (625*t[61])/3 + (6833*t[62])/144 - 
       (26179*t[63])/144 + 181*t[64] + (7499*t[65])/108 + (1429*t[66])/18 + 
       t[67]/2 + (5*t[68])/2 - 4*t[69] - (22*t[70])/3 + (22*t[71])/3 - 
       (29*t[72])/3 + 12*t[73] + (151*t[74])/18 - 19*t[75] - (7*t[76])/6 - 
       (4*t[77])/3 - (40*t[78])/3 + (37*t[79])/2 + (631*t[80])/18 - 
       (361*t[81])/36 + (235*t[82])/36 + (103*t[83])/9 - (1159*t[84])/72 - 
       (107*t[85])/18 + (680*t[86])/9 + (3881*t[87])/36 + (3917*t[88])/72 + 
       (1397*t[89])/24 - t[90]/2 + t[92]/2 - 2*t[93] - t[94]/2 - 
       (10*t[97])/3 - 4*t[98] - 50*t[99] + (604*t[100])/3) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*((-63*t[2])/2 + 33*t[3] - 
       101*t[4] + (729*t[5])/4 - 2*t[6] - 83*t[7] - 50*t[8] - (1027*t[9])/4 + 
       159*t[10] - (385*t[11])/2 - (403*t[12])/4 - (217*t[13])/4 - 
       (1099*t[14])/12 + (613*t[15])/8 + 14*t[18] + 4*t[19] - 28*t[21] + 
       36*t[23] - 6*t[24] + 24*t[31] + 20*t[35] + 2*t[37] - 32*t[41] + 
       32*t[42] - 12*t[43] + 65*t[45] - 194*t[47] + (7*t[48])/2 + 
       (9*t[50])/2 - (9*t[52])/2 - (9*t[54])/2 - 35*t[59] - (129*t[60])/2 - 
       (641*t[61])/2 + (807*t[62])/4 + (385*t[63])/4 - (953*t[64])/4 + 
       6*t[65] + 480*t[66] - 4*t[67] + 30*t[70] - 30*t[71] + 24*t[74] + 
       6*t[75] - 36*t[79] - 126*t[80] - 31*t[81] + 43*t[82] - 15*t[83] - 
       12*t[84] - (13*t[85])/2 - 162*t[86] + (9*t[87])/2 + (9*t[88])/4 - 
       (129*t[89])/4 - 24*t[99] + 210*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-21*t[1] + 39*t[2] + (57*t[3])/2 + 
       (57*t[4])/2 - (505*t[5])/4 - (283*t[6])/4 - (49*t[7])/2 + 
       (67*t[8])/2 + (359*t[9])/4 + (443*t[10])/4 - (729*t[11])/4 + 
       88*t[12] - (805*t[13])/6 - (1613*t[14])/24 - (513*t[15])/8 + 4*t[31] + 
       8*t[35] - 4*t[37] - (143*t[43])/2 + 12*t[46] - (23*t[48])/4 - 
       (9*t[49])/4 + (17*t[50])/4 - (99*t[51])/8 - (17*t[52])/4 + 
       (9*t[53])/4 + (33*t[54])/4 - 35*t[59] - (129*t[60])/2 - 
       (641*t[61])/2 + (807*t[62])/4 + (385*t[63])/4 - (953*t[64])/4 + 
       6*t[65] + 480*t[66] - 4*t[67] + 30*t[70] - 30*t[71] + 24*t[74] + 
       6*t[75] - 36*t[79] - 126*t[80] - 31*t[81] + 43*t[82] - 15*t[83] - 
       12*t[84] - (13*t[85])/2 - 162*t[86] + (9*t[87])/2 + (9*t[88])/4 - 
       (129*t[89])/4 - 24*t[99] + 210*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*((47*t[1])/4 - (309*t[2])/8 + 
       (337*t[3])/8 - (81*t[4])/8 + (491*t[5])/16 - (631*t[6])/16 + 
       (649*t[7])/8 - (111*t[8])/2 - (639*t[9])/16 - (17*t[10])/4 + 
       (941*t[11])/16 + (835*t[12])/16 + (3745*t[13])/144 - (483*t[14])/32 - 
       (1511*t[15])/96 - 2*t[16] + t[17]/4 + 4*t[18] - 2*t[19] - 2*t[21] - 
       11*t[22] + 2*t[23] - 17*t[24] + t[25] - t[27] - 10*t[28] - t[29]/2 - 
       4*t[30] + 6*t[31] - 2*t[32] - 3*t[33] - 10*t[34] - 6*t[35] - 
       (5*t[36])/2 + 4*t[37] + 5*t[38] - 5*t[39] + t[40] - 6*t[41] + 
       8*t[42] - (29*t[43])/8 - (3*t[44])/4 - (75*t[45])/4 - (5*t[46])/4 + 
       (109*t[47])/2 - (557*t[48])/16 - (77*t[49])/8 - (141*t[50])/16 + 
       (239*t[51])/32 - (235*t[52])/16 + (53*t[53])/8 - (597*t[54])/16 - 
       (3*t[56])/2 + 4*t[57] - (9*t[59])/4 + (31*t[60])/2 - (457*t[61])/8 - 
       (2439*t[62])/16 - (3199*t[63])/16 + (2283*t[64])/16 + 79*t[65] - 
       (91*t[66])/2 + t[67]/2 + (11*t[68])/2 + 5*t[69] - 4*t[70] + 4*t[71] + 
       6*t[73] - (93*t[74])/2 - 12*t[75] - (43*t[76])/2 - (3*t[77])/2 + 
       14*t[78] + 18*t[79] - (31*t[81])/4 + (39*t[82])/4 + (37*t[83])/2 - 
       (141*t[84])/4 + (13*t[85])/8 + 145*t[86] + (107*t[87])/8 + 
       (283*t[88])/16 + (341*t[89])/8 + t[91]/6 + t[92] - t[94]/2 - 5*t[95] + 
       8*t[96] + 10*t[97] + 72*t[98] - 128*t[99] + 211*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*(t[1] - (149*t[2])/4 - 
       (427*t[3])/16 + 15*t[4] - (33*t[5])/16 - (167*t[6])/16 + (89*t[7])/2 + 
       (509*t[8])/8 + (769*t[9])/16 - (115*t[10])/8 - (673*t[11])/16 + 
       (285*t[12])/16 - (163*t[13])/12 - (1429*t[14])/48 - (3149*t[15])/72 + 
       2*t[16] - t[17]/2 + 4*t[18] - 2*t[19] - 2*t[20] + 3*t[21] - 3*t[23] + 
       3*t[24] - 7*t[25] - 5*t[26] + 2*t[27] - 6*t[28] - (9*t[29])/4 + 
       18*t[32] - 3*t[33] - 5*t[34] + 18*t[35] + 26*t[36] + 10*t[37] + 
       2*t[38] - 10*t[39] - (23*t[40])/2 + (35*t[41])/4 - (27*t[42])/4 - 
       (105*t[43])/8 + (133*t[44])/8 - (33*t[45])/4 - (49*t[46])/4 + 
       (73*t[47])/2 - (149*t[48])/16 + (135*t[49])/8 - (209*t[50])/16 + 
       (75*t[51])/16 + (273*t[52])/16 - (71*t[53])/8 - (377*t[54])/16 + 
       t[55]/2 + 2*t[58] - (9*t[59])/4 + (31*t[60])/2 - (457*t[61])/8 - 
       (2439*t[62])/16 - (3199*t[63])/16 + (2283*t[64])/16 + 79*t[65] - 
       (91*t[66])/2 + t[67]/2 + (11*t[68])/2 + 5*t[69] - 4*t[70] + 4*t[71] + 
       6*t[73] - (93*t[74])/2 - 12*t[75] - (43*t[76])/2 - (3*t[77])/2 + 
       14*t[78] + 18*t[79] - (31*t[81])/4 + (39*t[82])/4 + (37*t[83])/2 - 
       (141*t[84])/4 + (13*t[85])/8 + 145*t[86] + (107*t[87])/8 + 
       (283*t[88])/16 + (341*t[89])/8 + t[91]/6 + t[92] - t[94]/2 - 5*t[95] + 
       8*t[96] + 10*t[97] + 72*t[98] - 128*t[99] + 211*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-31*t[1])/6 - 157*t[2] + (2641*t[3])/24 - (807*t[4])/4 + 
       (6151*t[5])/48 - (1333*t[6])/24 - (27*t[7])/2 - (821*t[8])/4 + 
       (1111*t[9])/48 + (1373*t[10])/8 + (747*t[11])/4 + (3575*t[12])/48 + 
       (50813*t[13])/216 - (3851*t[14])/72 - (4729*t[15])/288 + 6*t[16] - 
       6*t[17] + (34*t[18])/3 + (40*t[20])/3 + (34*t[21])/3 - (10*t[22])/3 - 
       (34*t[23])/3 + (74*t[24])/3 + 2*t[25] - 10*t[26] + (32*t[27])/3 + 
       (53*t[29])/3 + 8*t[30] + 8*t[31] - (35*t[32])/3 - 8*t[33] + 
       (232*t[34])/3 + 8*t[36] + 12*t[37] + t[38]/3 - 4*t[39] - 20*t[40] - 
       (73*t[41])/6 + (107*t[42])/6 + (47*t[43])/24 + (19*t[44])/6 - 
       (10*t[45])/3 - (57*t[46])/2 - 16*t[47] - (1345*t[48])/8 + 
       (1247*t[49])/24 - (971*t[50])/24 + (601*t[51])/48 + (715*t[52])/24 - 
       (455*t[53])/24 - (755*t[54])/24 + 6*t[55] - (5*t[58])/3 - 9*t[59] - 
       (95*t[60])/3 - (131*t[61])/12 - (1955*t[62])/8 + (1875*t[63])/8 + 
       (2187*t[64])/8 + (6163*t[65])/36 - (23041*t[66])/36 + 4*t[67] + 
       12*t[68] - 4*t[69] - (128*t[70])/3 + (128*t[71])/3 - (112*t[72])/3 - 
       20*t[73] - 32*t[74] + 20*t[75] + (584*t[76])/3 + (106*t[77])/3 - 
       (524*t[78])/3 + (931*t[80])/3 + (326*t[81])/3 + (154*t[82])/3 + 
       (80*t[83])/3 - (136*t[84])/3 + (533*t[85])/3 + (643*t[86])/6 - 
       (599*t[87])/3 - (1211*t[88])/6 - (547*t[89])/6 + 6*t[92] - 6*t[94] + 
       24*t[95] + 24*t[96] + (4*t[97])/3 + 1048*t[98] - 1236*t[99] + 
       216*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-373*t[1])/6 - (34*t[2])/3 + (1691*t[3])/24 + (31*t[4])/4 - 
       (8419*t[5])/48 - 212*t[6] + (2193*t[7])/8 - (5969*t[8])/24 + 
       (24059*t[9])/48 - (2851*t[10])/12 + (1025*t[11])/6 + 
       (18517*t[12])/48 - (4919*t[13])/432 - (161*t[14])/24 - 
       (51985*t[15])/288 - 12*t[16] + 6*t[17] + (34*t[18])/3 + 4*t[19] - 
       (16*t[20])/3 + (22*t[21])/3 - (206*t[22])/3 - (22*t[23])/3 - 
       (2*t[24])/3 - (14*t[25])/3 + (118*t[26])/3 - 32*t[27] + (37*t[29])/3 - 
       16*t[30] + (62*t[31])/3 - (79*t[32])/3 - 48*t[33] + (232*t[34])/3 - 
       28*t[36] + 12*t[37] - (167*t[38])/3 + 36*t[39] - (4*t[40])/3 - 
       (67*t[41])/6 + (101*t[42])/6 + (28*t[43])/3 + (67*t[44])/6 - 
       (1079*t[45])/12 - (197*t[46])/6 + (333*t[47])/2 - (1525*t[48])/24 + 
       (467*t[49])/8 + (289*t[50])/8 + (1115*t[51])/48 - (2051*t[52])/24 + 
       (277*t[53])/8 - (3301*t[54])/24 - 6*t[55] + (35*t[58])/3 - 9*t[59] - 
       (95*t[60])/3 - (131*t[61])/12 - (1955*t[62])/8 + (1875*t[63])/8 + 
       (2187*t[64])/8 + (6163*t[65])/36 - (23041*t[66])/36 + 4*t[67] + 
       12*t[68] - 4*t[69] - (128*t[70])/3 + (128*t[71])/3 - (112*t[72])/3 - 
       20*t[73] - 32*t[74] + 20*t[75] + (584*t[76])/3 + (106*t[77])/3 - 
       (524*t[78])/3 + (931*t[80])/3 + (326*t[81])/3 + (154*t[82])/3 + 
       (80*t[83])/3 - (136*t[84])/3 + (533*t[85])/3 + (643*t[86])/6 - 
       (599*t[87])/3 - (1211*t[88])/6 - (547*t[89])/6 + 6*t[92] - 6*t[94] + 
       24*t[95] + 24*t[96] + (4*t[97])/3 + 1048*t[98] - 1236*t[99] + 
       216*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*((35*t[1])/3 - (190*t[2])/3 + 
       (679*t[3])/12 - (899*t[4])/6 + (1753*t[5])/12 - (245*t[6])/12 - 
       (393*t[7])/2 + (436*t[8])/3 - (1417*t[9])/4 + (3491*t[10])/12 - 
       (2339*t[11])/12 - (515*t[12])/6 - (573*t[13])/4 - (3953*t[14])/24 + 
       (1715*t[15])/36 - t[17]/3 - 28*t[20] - 12*t[21] + (260*t[22])/3 + 
       (32*t[23])/3 - (26*t[24])/3 + 16*t[27] - 8*t[28] + 17*t[29] - 
       (11*t[30])/3 - 16*t[31] + (56*t[32])/3 - (47*t[33])/3 - 90*t[34] + 
       12*t[35] - 8*t[36] + (8*t[37])/3 + (61*t[38])/3 + (40*t[39])/3 + 
       25*t[40] - (34*t[41])/3 + 8*t[42] - 39*t[43] + (37*t[44])/6 + 
       (448*t[45])/3 + 2*t[46] - (476*t[47])/3 + (239*t[48])/12 - 
       (439*t[49])/12 - (135*t[50])/4 + (491*t[51])/24 + (7*t[52])/4 + 
       (141*t[53])/4 - (167*t[54])/12 + (4*t[56])/3 + (16*t[57])/3 - 
       (43*t[59])/2 - (1579*t[60])/6 - (1403*t[61])/6 + (577*t[62])/6 - 
       (1427*t[63])/6 + (1321*t[64])/12 + (305*t[65])/3 + (3796*t[66])/9 - 
       (2*t[67])/3 + (10*t[68])/3 - 4*t[69] + (8*t[70])/3 - (8*t[71])/3 + 
       24*t[72] - 8*t[73] + (44*t[74])/3 - 16*t[75] - (164*t[76])/3 + 
       (8*t[77])/3 - (29*t[78])/3 + 88*t[79] - (770*t[80])/3 - 79*t[81] + 
       (74*t[82])/3 - 26*t[83] - (52*t[84])/3 - 66*t[85] - (80*t[86])/3 + 
       215*t[87] + (231*t[88])/2 - 34*t[89] + (2*t[90])/3 - 8*t[95] - 
       (22*t[96])/3 - (23*t[97])/3 - 368*t[98] + 368*t[99] + 224*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((191*t[1])/6 + (175*t[2])/6 + (299*t[3])/3 + 70*t[4] - 166*t[5] + 
       (113*t[6])/3 + 33*t[7] - 110*t[8] + (178*t[9])/3 - (1307*t[10])/12 + 
       (28*t[11])/3 + (1163*t[12])/12 - (6961*t[13])/54 - (1648*t[14])/9 - 
       (4445*t[15])/36 - (58*t[25])/3 + t[26] + (32*t[27])/3 - 10*t[28] - 
       8*t[29] - 6*t[30] - 16*t[31] + 8*t[32] - 8*t[33] - (29*t[34])/3 - 
       32*t[35] - 8*t[36] - (10*t[37])/3 + (85*t[38])/3 + (4*t[39])/3 - 
       18*t[40] + (29*t[41])/6 - (29*t[42])/6 - 71*t[43] + 22*t[44] - 
       (14*t[45])/3 - (55*t[46])/3 + (52*t[47])/3 + (113*t[48])/6 - 
       (541*t[49])/12 + (481*t[50])/6 + (397*t[51])/12 - (215*t[52])/6 + 
       (167*t[53])/4 - (193*t[54])/6 + (31*t[58])/3 - (43*t[59])/2 - 
       (1579*t[60])/6 - (1403*t[61])/6 + (577*t[62])/6 - (1427*t[63])/6 + 
       (1321*t[64])/12 + (305*t[65])/3 + (3796*t[66])/9 - (2*t[67])/3 + 
       (10*t[68])/3 - 4*t[69] + (8*t[70])/3 - (8*t[71])/3 + 24*t[72] - 
       8*t[73] + (44*t[74])/3 - 16*t[75] - (164*t[76])/3 + (8*t[77])/3 - 
       (29*t[78])/3 + 88*t[79] - (770*t[80])/3 - 79*t[81] + (74*t[82])/3 - 
       26*t[83] - (52*t[84])/3 - 66*t[85] - (80*t[86])/3 + 215*t[87] + 
       (231*t[88])/2 - 34*t[89] + (2*t[90])/3 - 8*t[95] - (22*t[96])/3 - 
       (23*t[97])/3 - 368*t[98] + 368*t[99] + 224*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-4*t[1])/3 + (7*t[2])/4 + (547*t[3])/8 - (310*t[4])/3 + 
       (1139*t[5])/48 - (1853*t[6])/12 + (1475*t[7])/24 - (4171*t[8])/24 - 
       (1423*t[9])/48 + (173*t[10])/6 - (91*t[11])/4 + (743*t[12])/48 - 
       (3299*t[13])/432 - (2329*t[14])/18 + (1615*t[15])/96 - t[17]/2 + 
       4*t[18] + 2*t[19] + (14*t[20])/3 - t[21] - 17*t[22] + t[23] + 
       16*t[24] - (14*t[25])/3 - (11*t[26])/3 + (86*t[27])/3 - 8*t[28] + 
       (7*t[29])/3 + 8*t[30] - 13*t[31] + 15*t[32] - (23*t[33])/3 + 
       (163*t[34])/3 + 3*t[35] - (73*t[36])/3 - (10*t[37])/3 - (11*t[38])/6 + 
       2*t[39] - (89*t[40])/6 - t[41] + 3*t[42] - (229*t[43])/12 + 20*t[44] - 
       (25*t[45])/4 + 16*t[46] - (133*t[47])/6 - (2327*t[48])/24 - 
       (169*t[49])/8 + (387*t[50])/8 + (187*t[51])/48 - (1337*t[52])/24 + 
       (93*t[53])/8 - (1465*t[54])/24 - t[56]/3 + (4*t[57])/3 - 
       (26*t[58])/3 - (29*t[59])/12 - (1475*t[60])/12 - 267*t[61] - 
       (2857*t[62])/12 + (279*t[63])/4 - (193*t[64])/3 + (1486*t[65])/9 + 
       (4073*t[66])/18 - t[67]/3 + (8*t[68])/3 + 2*t[69] - (16*t[70])/3 + 
       (16*t[71])/3 + (106*t[72])/3 - 24*t[73] - (25*t[74])/3 + 18*t[75] + 
       (175*t[76])/3 - (5*t[77])/2 - (241*t[78])/6 - 5*t[79] + 35*t[80] + 
       (13*t[81])/3 + (200*t[82])/3 + (328*t[83])/3 - (203*t[84])/4 + 
       (485*t[85])/6 + (1033*t[86])/6 - (185*t[87])/6 - (31*t[88])/12 - 
       (527*t[89])/8 + t[94]/3 - (8*t[95])/3 - (32*t[96])/3 + (61*t[97])/6 + 
       324*t[98] - 412*t[99] + 234*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*((-65*t[1])/12 + 
       (107*t[2])/4 - (105*t[3])/2 - (129*t[4])/2 - (3947*t[5])/48 - 
       (755*t[6])/12 + (202*t[7])/3 - (244*t[8])/3 + (12553*t[9])/48 + 
       (1597*t[10])/12 - (2573*t[11])/24 + (4675*t[12])/48 - 
       (1937*t[13])/18 + (7075*t[14])/144 - (5371*t[15])/96 - (5*t[16])/6 + 
       (5*t[17])/6 + 4*t[18] - t[19] - (38*t[20])/3 + 2*t[21] - 10*t[22] - 
       t[23] + (2*t[24])/3 - (74*t[25])/3 + (46*t[26])/3 + (19*t[27])/3 + 
       5*t[28] + (23*t[29])/6 - (85*t[30])/6 - (14*t[31])/3 - (37*t[32])/6 + 
       (11*t[33])/2 + (125*t[34])/2 + 12*t[35] - (44*t[36])/3 + 
       (19*t[37])/3 - (67*t[38])/6 - (47*t[39])/3 + (64*t[40])/3 - 
       (29*t[41])/12 + (41*t[42])/12 - (697*t[43])/24 - (73*t[44])/3 - 
       (103*t[45])/3 + 6*t[46] + (305*t[47])/6 - (193*t[48])/6 + 27*t[49] + 
       (71*t[50])/6 - (37*t[51])/4 - (65*t[52])/3 - 31*t[53] + 
       (209*t[54])/12 + (5*t[58])/3 - (29*t[59])/12 - (1475*t[60])/12 - 
       267*t[61] - (2857*t[62])/12 + (279*t[63])/4 - (193*t[64])/3 + 
       (1486*t[65])/9 + (4073*t[66])/18 - t[67]/3 + (8*t[68])/3 + 2*t[69] - 
       (16*t[70])/3 + (16*t[71])/3 + (106*t[72])/3 - 24*t[73] - 
       (25*t[74])/3 + 18*t[75] + (175*t[76])/3 - (5*t[77])/2 - 
       (241*t[78])/6 - 5*t[79] + 35*t[80] + (13*t[81])/3 + (200*t[82])/3 + 
       (328*t[83])/3 - (203*t[84])/4 + (485*t[85])/6 + (1033*t[86])/6 - 
       (185*t[87])/6 - (31*t[88])/12 - (527*t[89])/8 + t[94]/3 - 
       (8*t[95])/3 - (32*t[96])/3 + (61*t[97])/6 + 324*t[98] - 412*t[99] + 
       234*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-43*t[1])/4 - (33*t[2])/4 + (339*t[3])/8 - 
       (1421*t[4])/12 + (1517*t[5])/16 - (1253*t[6])/8 + (287*t[7])/8 - 
       (379*t[8])/8 - (2029*t[9])/16 + (105*t[10])/8 - (821*t[11])/6 + 
       (1625*t[12])/48 - (1063*t[13])/18 - (12967*t[14])/144 + 
       (6317*t[15])/288 + 4*t[17] - (5*t[18])/3 - (10*t[19])/3 + 5*t[21] - 
       (19*t[23])/3 + 3*t[24] - 6*t[27] + 12*t[31] - t[32] + t[33] - 
       (7*t[34])/2 - 13*t[35] + (17*t[37])/3 + t[38] - t[39] + (7*t[40])/2 - 
       (13*t[41])/4 - (15*t[42])/4 - 14*t[43] + 12*t[44] + (85*t[45])/2 + 
       (25*t[46])/2 - 61*t[47] + (29*t[48])/8 + 2*t[49] - (19*t[50])/8 - 
       (29*t[51])/8 - (17*t[52])/8 - 2*t[53] - (101*t[54])/8 - 18*t[59] - 
       (1685*t[60])/12 - (1235*t[61])/4 + (235*t[62])/4 - (263*t[63])/4 + 
       (589*t[64])/8 + (761*t[65])/18 + (6343*t[66])/36 + t[67] - 11*t[69] + 
       3*t[70] - 3*t[71] - 28*t[74] + 3*t[75] - (7*t[76])/2 - 6*t[77] + 
       2*t[78] + 16*t[79] - 18*t[80] - 24*t[81] + (59*t[82])/2 + 22*t[83] - 
       (103*t[84])/4 - (49*t[85])/2 + 20*t[86] + 65*t[87] + (65*t[88])/2 + 
       (143*t[89])/8 - t[94] - t[97] - 24*t[98] + 12*t[99] + 237*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-83*t[1])/12 - (31*t[2])/2 - (29*t[3])/24 + (451*t[4])/4 - 
       (1463*t[5])/16 - 49*t[6] - (501*t[7])/8 + (341*t[8])/8 + 
       (1103*t[9])/16 + (55*t[10])/2 - 138*t[11] - (175*t[12])/16 + 
       (1417*t[13])/48 - 92*t[14] - (16835*t[15])/288 + 6*t[25] + t[26]/2 - 
       8*t[31] + t[32] - t[33] - t[34]/2 + 13*t[35] - 7*t[37] - 6*t[38] + 
       t[39] - (5*t[40])/2 - (83*t[41])/12 + (23*t[42])/4 - (171*t[43])/4 - 
       12*t[44] - (29*t[45])/2 - (29*t[46])/2 + 23*t[47] - (79*t[48])/8 + 
       (101*t[49])/8 + (121*t[50])/8 - (23*t[51])/16 - (93*t[52])/8 - 
       (101*t[53])/8 - (111*t[54])/8 + t[58]/2 - 18*t[59] - (1685*t[60])/12 - 
       (1235*t[61])/4 + (235*t[62])/4 - (263*t[63])/4 + (589*t[64])/8 + 
       (761*t[65])/18 + (6343*t[66])/36 + t[67] - 11*t[69] + 3*t[70] - 
       3*t[71] - 28*t[74] + 3*t[75] - (7*t[76])/2 - 6*t[77] + 2*t[78] + 
       16*t[79] - 18*t[80] - 24*t[81] + (59*t[82])/2 + 22*t[83] - 
       (103*t[84])/4 - (49*t[85])/2 + 20*t[86] + 65*t[87] + (65*t[88])/2 + 
       (143*t[89])/8 - t[94] - t[97] - 24*t[98] + 12*t[99] + 237*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-29*t[1])/3 + (257*t[2])/12 + (47*t[3])/6 - (27*t[4])/2 + 
       (65*t[5])/12 - (63*t[6])/8 + (129*t[7])/4 + (17*t[8])/3 + 
       (317*t[9])/12 + (475*t[10])/24 - (703*t[11])/24 + (527*t[12])/24 - 
       (1603*t[13])/216 - (53*t[14])/3 - (106*t[15])/9 + t[16]/2 + 
       (4*t[18])/3 + 2*t[19] + (2*t[20])/3 + (10*t[21])/3 - (20*t[22])/3 - 
       (10*t[23])/3 + (10*t[24])/3 - (35*t[25])/3 + (52*t[26])/3 + t[27] - 
       (2*t[29])/3 - 2*t[30] + (20*t[31])/3 + (2*t[32])/3 + (19*t[34])/3 - 
       4*t[35] + 2*t[36] - (20*t[38])/3 - 4*t[39] - (4*t[40])/3 + 
       (17*t[41])/6 - (13*t[42])/6 + (13*t[43])/12 + (5*t[44])/3 - 
       (35*t[45])/3 - t[46]/3 + 20*t[47] - (223*t[48])/24 + (113*t[49])/8 + 
       (139*t[50])/8 - (47*t[51])/6 - (281*t[52])/24 - (69*t[53])/8 - 
       (217*t[54])/24 + (2*t[58])/3 + t[59]/2 - (815*t[60])/12 - 
       (749*t[61])/12 - (199*t[62])/4 - (73*t[63])/4 - (123*t[64])/8 + 
       (2137*t[65])/36 + (65*t[66])/36 - 2*t[67] - t[68]/2 - 7*t[69] - 
       (5*t[70])/3 + (5*t[71])/3 - (31*t[72])/3 - 7*t[74] - 2*t[75] + 
       (29*t[76])/3 - (8*t[77])/3 - (47*t[78])/3 - 8*t[79] + (52*t[80])/3 - 
       (11*t[81])/6 + (65*t[82])/6 + (35*t[83])/3 - (229*t[84])/12 + 
       (71*t[85])/3 + (155*t[86])/3 + (59*t[87])/6 - (37*t[88])/12 + 
       (295*t[89])/12 - t[90]/2 + 2*t[95] + 2*t[96] - (5*t[97])/3 + 
       64*t[98] - 112*t[99] + 263*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*(24*t[1] + (93*t[2])/2 - 24*t[3] - 
       60*t[4] + (141*t[5])/4 - (327*t[6])/4 + 153*t[7] - 618*t[8] - 
       (195*t[9])/4 + 207*t[10] + (843*t[11])/4 - (225*t[12])/4 + 
       (451*t[13])/3 + (257*t[14])/4 + (809*t[15])/8 + 12*t[16] + 3*t[17] - 
       60*t[24] + 42*t[25] + 42*t[26] + 12*t[28] - 48*t[31] - 84*t[32] - 
       18*t[33] + 24*t[36] + 18*t[39] + 84*t[40] - 12*t[41] + 12*t[42] + 
       48*t[44] - 96*t[45] - 39*t[46] + 72*t[47] - (195*t[48])/4 - 18*t[49] + 
       (453*t[50])/4 - (3*t[51])/4 - (453*t[52])/4 + 18*t[53] + 
       (27*t[54])/4 + 54*t[59] + 189*t[60] + 92*t[61] - (345*t[62])/2 + 
       (255*t[63])/2 + 87*t[64] + 75*t[65] - 349*t[66] - 12*t[67] - 
       36*t[68] + 36*t[72] + 48*t[73] + 12*t[74] - 48*t[75] - 120*t[76] - 
       108*t[77] + 144*t[78] - 12*t[79] - 192*t[80] + 48*t[81] - 48*t[82] - 
       18*t[83] + 51*t[84] - 93*t[85] + 60*t[86] + 51*t[87] + (51*t[88])/2 - 
       12*t[89] - 12*t[92] + 12*t[93] + 12*t[94] - 720*t[98] + 864*t[99] + 
       276*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*
      (-96*t[1] - (69*t[2])/2 - 180*t[3] + 12*t[4] - (135*t[5])/4 - 
       (123*t[6])/4 - 153*t[7] + 231*t[8] + (33*t[9])/4 - 132*t[10] + 
       (219*t[11])/4 + (363*t[12])/4 - (257*t[13])/3 + (147*t[14])/4 + 
       (437*t[15])/8 + 12*t[16] + 9*t[17] + 60*t[20] + 48*t[24] + 6*t[25] - 
       6*t[26] - 60*t[27] + 12*t[28] + 36*t[31] - 24*t[32] + 30*t[33] + 
       24*t[36] - 84*t[38] - 30*t[39] + 24*t[40] + 24*t[41] - 24*t[42] - 
       24*t[43] - 48*t[44] + 120*t[45] - 15*t[46] - 72*t[47] + 
       (465*t[48])/4 - 18*t[49] + (177*t[50])/4 + (15*t[51])/4 + 
       (63*t[52])/4 + 18*t[53] + (159*t[54])/4 + 54*t[59] + 189*t[60] + 
       92*t[61] - (345*t[62])/2 + (255*t[63])/2 + 87*t[64] + 75*t[65] - 
       349*t[66] - 12*t[67] - 36*t[68] + 36*t[72] + 48*t[73] + 12*t[74] - 
       48*t[75] - 120*t[76] - 108*t[77] + 144*t[78] - 12*t[79] - 192*t[80] + 
       48*t[81] - 48*t[82] - 18*t[83] + 51*t[84] - 93*t[85] + 60*t[86] + 
       51*t[87] + (51*t[88])/2 - 12*t[89] - 12*t[92] + 12*t[93] + 12*t[94] - 
       720*t[98] + 864*t[99] + 276*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*((135*t[1])/8 - 
       (69*t[2])/4 + (83*t[3])/4 - (2301*t[4])/8 + (2569*t[5])/16 + 
       (249*t[6])/16 + (31*t[7])/16 - (139*t[8])/16 - (867*t[9])/4 + 
       (1827*t[10])/8 - (451*t[11])/8 - 50*t[12] - (3463*t[13])/32 + 
       (113*t[14])/32 + (9055*t[15])/72 + 2*t[16] - (9*t[18])/2 + 3*t[19] - 
       12*t[20] - 18*t[21] + 36*t[22] + (33*t[23])/2 - 3*t[24] - 19*t[25] + 
       19*t[26] + 24*t[27] - (5*t[29])/2 + t[30]/2 + 12*t[31] + 6*t[32] - 
       (15*t[33])/2 - (201*t[34])/4 - 13*t[36] - 3*t[37] + (9*t[38])/2 + 
       13*t[39] - (61*t[40])/4 + (69*t[41])/8 - (117*t[42])/8 + 
       (669*t[43])/16 + (73*t[44])/2 + (591*t[45])/8 + (119*t[46])/4 - 
       (543*t[47])/4 - (73*t[48])/4 - (1341*t[49])/16 + (83*t[50])/4 + 
       (423*t[51])/32 - 14*t[52] + (1341*t[53])/16 + (27*t[54])/8 + 
       (67*t[59])/4 - (2339*t[60])/8 + (671*t[61])/8 + 12*t[62] + 
       (579*t[63])/4 + (893*t[64])/16 - (59*t[65])/2 + (3757*t[66])/24 - 
       t[67]/2 - 9*t[69] + 18*t[70] - 18*t[71] - 42*t[73] + 36*t[74] + 
       44*t[75] - (201*t[76])/4 + (69*t[77])/2 + 18*t[78] - t[79] - 
       (129*t[80])/2 - (191*t[81])/4 + 5*t[82] + 6*t[83] - (137*t[84])/4 - 
       (105*t[85])/2 - (241*t[86])/2 + 180*t[87] + (375*t[88])/4 - 
       (29*t[89])/16 - (9*t[97])/2 - 252*t[98] + 234*t[99] + 
       (555*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((121*t[1])/8 + 81*t[2] + (925*t[3])/8 + 
       (575*t[4])/4 - (395*t[5])/8 - (1113*t[6])/16 - (1467*t[7])/16 - 
       (3217*t[8])/16 - (1697*t[9])/16 - (1695*t[10])/16 + t[11]/4 - 
       (111*t[12])/4 - (10051*t[13])/96 - (1771*t[14])/12 - 
       (10451*t[15])/96 + 2*t[18] + 2*t[19] - 6*t[21] - (9*t[22])/2 + 
       (19*t[23])/2 - 6*t[24] - 18*t[25] + (97*t[26])/4 - 12*t[28] - 
       11*t[29] + 9*t[30] - 18*t[31] - (3*t[32])/2 - (9*t[33])/2 - 
       (135*t[34])/4 + 11*t[35] - 5*t[37] - t[38] - (3*t[39])/2 + 
       (45*t[40])/4 + (3*t[41])/8 - (11*t[42])/8 - (27*t[43])/16 + 24*t[44] - 
       (249*t[45])/8 - (57*t[46])/4 + (291*t[47])/4 + 30*t[48] - 
       (57*t[49])/8 + (15*t[50])/2 - (33*t[51])/4 - (45*t[52])/4 + 
       (41*t[53])/8 + (7*t[54])/4 - (3*t[58])/4 + (67*t[59])/4 - 
       (2339*t[60])/8 + (671*t[61])/8 + 12*t[62] + (579*t[63])/4 + 
       (893*t[64])/16 - (59*t[65])/2 + (3757*t[66])/24 - t[67]/2 - 9*t[69] + 
       18*t[70] - 18*t[71] - 42*t[73] + 36*t[74] + 44*t[75] - (201*t[76])/4 + 
       (69*t[77])/2 + 18*t[78] - t[79] - (129*t[80])/2 - (191*t[81])/4 + 
       5*t[82] + 6*t[83] - (137*t[84])/4 - (105*t[85])/2 - (241*t[86])/2 + 
       180*t[87] + (375*t[88])/4 - (29*t[89])/16 - (9*t[97])/2 - 252*t[98] + 
       234*t[99] + (555*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*(27*t[1] - (873*t[2])/8 + (615*t[3])/8 + 
       (401*t[5])/8 - 29*t[6] + (1383*t[7])/8 - (17*t[8])/4 - (635*t[9])/8 - 
       (187*t[10])/4 + 214*t[11] + (221*t[12])/2 + (15997*t[13])/144 - 
       (193*t[14])/4 - (296*t[15])/9 - 2*t[16] + (5*t[17])/4 + 12*t[18] - 
       7*t[19] + 20*t[20] - 6*t[21] - 23*t[22] + 6*t[23] - 25*t[24] - t[25] + 
       (11*t[26])/2 - 11*t[27] - 26*t[28] - (3*t[29])/2 - 16*t[30] + 
       14*t[31] - 14*t[32] + 15*t[33] - 27*t[34] - 2*t[35] + 2*t[36] + 
       13*t[37] + 10*t[38] - 17*t[39] + (19*t[40])/2 - (39*t[41])/2 + 
       (51*t[42])/2 - (159*t[43])/8 - (61*t[44])/4 - (29*t[45])/4 - 
       (41*t[46])/4 + (227*t[47])/2 - (347*t[48])/8 - (25*t[49])/2 - 
       (239*t[50])/8 + 25*t[51] - (185*t[52])/8 + 15*t[53] - (427*t[54])/8 - 
       (7*t[56])/2 + 12*t[57] + (7*t[58])/2 - 11*t[59] + (583*t[60])/8 + 
       (239*t[61])/8 - (6767*t[62])/16 - (8389*t[63])/16 + (8107*t[64])/16 + 
       (1633*t[65])/8 - (8567*t[66])/24 + t[67]/2 + 8*t[68] + 15*t[69] - 
       18*t[70] + 18*t[71] - 7*t[72] + 34*t[73] - 99*t[74] - 52*t[75] - 
       (49*t[76])/2 - 20*t[77] + 35*t[78] + 46*t[79] - 38*t[80] + 10*t[81] - 
       (45*t[82])/2 + (107*t[83])/2 - (639*t[84])/8 - (227*t[85])/8 + 
       409*t[86] + (207*t[87])/8 + (511*t[88])/16 + (1941*t[89])/16 + 
       t[91]/6 + t[92] + 2*t[93] - t[94]/2 - 8*t[95] + 21*t[96] + 20*t[97] + 
       96*t[98] - 60*t[99] + 281*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*(-t[1]/2 - (841*t[2])/8 - (547*t[3])/8 + 
       (499*t[4])/8 - (559*t[5])/8 - (211*t[6])/16 + (891*t[7])/8 + 
       (939*t[8])/4 + (301*t[9])/2 - (577*t[10])/16 + (263*t[11])/16 + 
       (1651*t[12])/16 + (3805*t[13])/144 - (1901*t[14])/96 - 
       (6965*t[15])/72 + 2*t[16] - (3*t[17])/4 + 12*t[18] - 6*t[19] - 
       6*t[20] + 9*t[21] - 9*t[23] + 11*t[24] - t[25] - 7*t[26] + 8*t[27] - 
       18*t[28] - (11*t[29])/2 + (21*t[30])/2 + (65*t[32])/2 - 14*t[33] - 
       7*t[34] + 38*t[35] + 54*t[36] + 29*t[37] + 6*t[38] + t[39]/2 - 
       (113*t[40])/4 + 21*t[41] - 15*t[42] - (327*t[43])/8 + (135*t[44])/4 - 
       (69*t[45])/4 - (93*t[46])/4 + 93*t[47] + (81*t[48])/16 + 
       (357*t[49])/16 - (763*t[50])/16 + (243*t[51])/32 + (843*t[52])/16 - 
       (69*t[53])/16 - (735*t[54])/16 + t[55]/2 + 6*t[58] - 11*t[59] + 
       (583*t[60])/8 + (239*t[61])/8 - (6767*t[62])/16 - (8389*t[63])/16 + 
       (8107*t[64])/16 + (1633*t[65])/8 - (8567*t[66])/24 + t[67]/2 + 
       8*t[68] + 15*t[69] - 18*t[70] + 18*t[71] - 7*t[72] + 34*t[73] - 
       99*t[74] - 52*t[75] - (49*t[76])/2 - 20*t[77] + 35*t[78] + 46*t[79] - 
       38*t[80] + 10*t[81] - (45*t[82])/2 + (107*t[83])/2 - (639*t[84])/8 - 
       (227*t[85])/8 + 409*t[86] + (207*t[87])/8 + (511*t[88])/16 + 
       (1941*t[89])/16 + t[91]/6 + t[92] + 2*t[93] - t[94]/2 - 8*t[95] + 
       21*t[96] + 20*t[97] + 96*t[98] - 60*t[99] + 281*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-107*t[1])/8 - (223*t[2])/4 + (95*t[3])/2 + 79*t[4] - (105*t[5])/16 - 
       (99*t[6])/4 - (1921*t[7])/16 - (291*t[8])/16 - (1415*t[9])/8 + 
       (1161*t[10])/16 - (2125*t[11])/16 - (437*t[12])/16 - 
       (26435*t[13])/288 - (3721*t[14])/24 - (141*t[15])/8 - 8*t[19] + 
       2*t[20] + 9*t[21] + t[22]/2 - 11*t[23] + (5*t[24])/2 - 6*t[25] + 
       6*t[26] + 4*t[27] - 2*t[29] + 6*t[30] + 30*t[31] - (29*t[32])/2 + 
       (33*t[33])/2 - (141*t[34])/4 + 28*t[35] + 7*t[37] + (13*t[38])/2 - 
       (33*t[39])/2 + (117*t[40])/4 + (107*t[41])/8 - (63*t[42])/8 + 
       (29*t[43])/16 - 2*t[44] + (205*t[45])/8 - (175*t[47])/4 - 
       (161*t[48])/16 + t[49]/4 - (713*t[50])/16 + (19*t[51])/4 + 
       (229*t[52])/16 - t[53]/4 + (153*t[54])/16 - t[58] + (13*t[59])/2 - 
       (67*t[60])/4 - (513*t[61])/2 + (4201*t[62])/16 - (557*t[63])/16 - 
       (959*t[64])/8 + t[65]/4 + (2625*t[66])/8 + (11*t[67])/4 + 15*t[69] - 
       10*t[70] + 10*t[71] - 2*t[72] - (29*t[74])/2 + 3*t[75] - 
       (95*t[76])/4 - 4*t[77] + 14*t[78] - 51*t[79] - (317*t[80])/2 - 
       11*t[81] + (29*t[82])/4 - t[83]/2 - 14*t[84] + (83*t[85])/8 - 
       95*t[86] + (245*t[87])/8 + (245*t[88])/16 + (185*t[89])/2 - 
       (3*t[94])/2 - t[97] - 156*t[98] + 132*t[99] + 294*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (22*t[1] - (91*t[2])/4 + 13*t[3] - (177*t[4])/4 + (59*t[5])/4 - 
       (237*t[6])/8 - (51*t[7])/4 + (161*t[8])/4 - (205*t[9])/4 + 
       (43*t[10])/8 - (121*t[11])/8 - (163*t[12])/8 - (875*t[13])/36 - 
       (735*t[14])/16 + (295*t[15])/24 + 4*t[18] - 4*t[20] + 4*t[21] + 
       10*t[22] - 4*t[23] - 2*t[24] - 2*t[25] + 4*t[26] + 6*t[27] - 3*t[28] - 
       2*t[29] - 6*t[30] - t[31] + 2*t[32] - 6*t[33] - 17*t[34] + 7*t[38] + 
       6*t[39] + t[40]/2 - (7*t[41])/2 + (11*t[42])/2 + (13*t[43])/4 + 
       5*t[44] + (41*t[45])/2 + (19*t[46])/2 - (27*t[47])/2 + (71*t[48])/8 - 
       (261*t[49])/8 - (33*t[50])/8 + (191*t[51])/16 - (23*t[52])/8 + 
       (261*t[53])/8 - (25*t[54])/8 + 2*t[58] - (27*t[59])/4 - 
       (227*t[60])/4 - (497*t[61])/4 + (27*t[62])/8 - (1659*t[63])/8 + 
       (1281*t[64])/8 + (1177*t[65])/12 + (359*t[66])/12 - 6*t[69] - 
       14*t[70] + 14*t[71] - 4*t[72] - (41*t[76])/2 + (5*t[77])/2 + 
       10*t[78] + t[80] - (29*t[81])/2 - (7*t[82])/2 - 4*t[83] - 
       (31*t[84])/4 - (115*t[85])/4 + 41*t[86] + (343*t[87])/4 + 
       (343*t[88])/8 + (641*t[89])/8 - (7*t[97])/2 - 168*t[98] + 144*t[99] + 
       306*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-35*t[1])/3 + 20*t[2] + (317*t[3])/12 - 
       (185*t[4])/4 + (265*t[5])/12 - (445*t[6])/24 - (27*t[7])/4 - 
       (223*t[8])/4 - (371*t[9])/12 + (151*t[10])/4 - (687*t[11])/8 + 
       (125*t[12])/12 - (9625*t[13])/216 - (8053*t[14])/144 - 5*t[15] - 
       (8*t[18])/3 - (2*t[20])/3 - (8*t[21])/3 - (4*t[22])/3 + (8*t[23])/3 - 
       (10*t[24])/3 - 13*t[25] + 18*t[26] + (11*t[27])/3 + (2*t[29])/3 + 
       10*t[30] + 4*t[31] + (10*t[32])/3 - 4*t[33] + (7*t[34])/3 - 4*t[35] + 
       t[36] + 2*t[37] - (20*t[38])/3 - 9*t[40] - (19*t[41])/6 + 
       (11*t[42])/6 + (35*t[43])/6 + (11*t[44])/3 + (7*t[45])/6 + 3*t[46] - 
       11*t[47] - (117*t[48])/8 + (157*t[49])/12 + (457*t[50])/24 - 
       (515*t[51])/48 - (161*t[52])/24 - (91*t[53])/12 - (551*t[54])/24 - 
       (2*t[58])/3 + (13*t[59])/2 - (1697*t[60])/12 - (1525*t[61])/6 + 
       68*t[62] - 12*t[63] - (69*t[64])/4 + (523*t[65])/36 + 
       (5087*t[66])/36 - 2*t[67] + 7*t[69] + (7*t[70])/3 - (7*t[71])/3 - 
       (31*t[72])/3 - 7*t[74] - 2*t[75] + (23*t[76])/3 + t[77]/3 - 
       (65*t[78])/3 - (92*t[80])/3 - (35*t[81])/6 + (65*t[82])/6 + 
       (26*t[83])/3 - (355*t[84])/12 + (217*t[85])/6 + (35*t[86])/3 + 
       (133*t[87])/3 + (85*t[88])/6 + (143*t[89])/24 + 2*t[95] + 2*t[96] - 
       (5*t[97])/3 + 64*t[98] - 136*t[99] + 335*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (t[1]/2 - (105*t[2])/4 + (265*t[3])/4 - 16*t[4] + (13*t[5])/16 - 
       (299*t[6])/8 + t[7]/4 - 75*t[8] - (211*t[9])/16 - (9*t[10])/4 - 
       (59*t[11])/2 - (153*t[12])/16 - (5*t[13])/18 - (4241*t[14])/48 - 
       (8747*t[15])/288 + 4*t[18] + 11*t[20] - 2*t[21] - 2*t[23] - t[24] + 
       6*t[27] + (3*t[29])/2 - 2*t[31] - (27*t[32])/2 + 9*t[33] - 10*t[34] + 
       2*t[36] + 2*t[38] - 14*t[39] + 7*t[40] - (5*t[41])/2 + 3*t[42] + 
       (15*t[43])/8 + (51*t[44])/4 - (9*t[45])/2 + t[46]/2 + 27*t[47] - 
       (119*t[48])/8 - (17*t[49])/2 + (53*t[50])/8 + (47*t[51])/8 - 
       (85*t[52])/8 + (17*t[53])/2 - (135*t[54])/8 + t[58] - (5*t[59])/2 - 
       (377*t[60])/4 - (321*t[61])/2 + (165*t[62])/8 - (725*t[63])/8 + 
       (139*t[64])/4 + (141*t[65])/2 + (425*t[66])/6 - 2*t[67] - t[68]/2 - 
       7*t[69] - 3*t[70] + 3*t[71] - 13*t[72] + 4*t[73] - 3*t[74] - 6*t[75] + 
       3*t[76] - 6*t[77] - 13*t[78] - 8*t[79] + 11*t[80] - (17*t[81])/2 + 
       (19*t[82])/2 + 9*t[83] - (79*t[84])/4 + 13*t[85] + (105*t[86])/2 + 
       (85*t[87])/2 + (53*t[88])/4 + (215*t[89])/4 - t[90]/2 + 2*t[95] + 
       2*t[96] - 3*t[97] + 24*t[98] - 76*t[99] + 335*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((25*t[1])/2 - (87*t[2])/2 - (475*t[3])/8 - (723*t[4])/4 + 
       (1661*t[5])/16 - (1067*t[6])/8 + (1005*t[7])/4 + 69*t[8] + 
       (2033*t[9])/16 + (357*t[10])/8 + 333*t[11] + (2593*t[12])/16 + 
       (3901*t[13])/18 + (5723*t[14])/24 + (567*t[15])/32 + 26*t[18] + 
       8*t[20] + 26*t[21] - 2*t[22] - 26*t[23] + 34*t[24] - 6*t[25] + 
       22*t[27] + 10*t[29] + 30*t[30] - 4*t[32] + 12*t[33] + 122*t[34] - 
       18*t[36] - 7*t[38] - 12*t[39] - 24*t[40] + (55*t[41])/2 - 
       (29*t[42])/2 + (43*t[43])/8 - 17*t[44] - (97*t[45])/2 - (3*t[46])/2 + 
       99*t[47] - (615*t[48])/8 + (415*t[49])/8 - (31*t[50])/8 - 
       (325*t[51])/16 - (49*t[52])/8 - (415*t[53])/8 + (41*t[54])/8 - t[58] + 
       15*t[59] + 326*t[60] + (1919*t[61])/4 - (6375*t[62])/8 + 
       (1143*t[63])/8 + (987*t[64])/8 + (5741*t[65])/12 - (9959*t[66])/12 - 
       52*t[70] + 52*t[71] + 4*t[72] - 36*t[73] - 48*t[74] + 36*t[75] + 
       148*t[76] + 62*t[77] - 76*t[78] + 437*t[80] + 70*t[81] + 86*t[82] + 
       40*t[83] - 8*t[84] + 169*t[85] + (497*t[86])/2 - 331*t[87] - 
       (331*t[88])/2 + 17*t[89] + 8*t[97] + 744*t[98] - 828*t[99] + 
       360*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((67*t[1])/2 - (61*t[2])/2 - (317*t[3])/8 - (513*t[4])/4 - 
       (1985*t[5])/16 - 246*t[6] + (4467*t[7])/8 - (2917*t[8])/8 + 
       (12421*t[9])/16 - (749*t[10])/4 + (1487*t[11])/4 + (4355*t[12])/16 + 
       (18737*t[13])/144 + (1479*t[14])/8 - (13147*t[15])/96 + 26*t[18] - 
       20*t[20] + 26*t[21] - 58*t[22] - 26*t[23] + 26*t[24] - 22*t[25] + 
       8*t[26] + 6*t[27] - 10*t[29] - 30*t[30] + 10*t[31] - 20*t[32] - 
       12*t[33] + 122*t[34] - 18*t[36] - 7*t[38] + 12*t[39] - 8*t[40] + 
       (13*t[41])/2 + (13*t[42])/2 - (19*t[43])/4 + 31*t[44] - 
       (547*t[45])/4 - t[46]/2 + (591*t[47])/2 - (917*t[48])/8 - 
       (63*t[49])/8 + (531*t[50])/8 + (205*t[51])/16 - (931*t[52])/8 + 
       (63*t[53])/8 - (365*t[54])/8 + 7*t[58] + 15*t[59] + 326*t[60] + 
       (1919*t[61])/4 - (6375*t[62])/8 + (1143*t[63])/8 + (987*t[64])/8 + 
       (5741*t[65])/12 - (9959*t[66])/12 - 52*t[70] + 52*t[71] + 4*t[72] - 
       36*t[73] - 48*t[74] + 36*t[75] + 148*t[76] + 62*t[77] - 76*t[78] + 
       437*t[80] + 70*t[81] + 86*t[82] + 40*t[83] - 8*t[84] + 169*t[85] + 
       (497*t[86])/2 - 331*t[87] - (331*t[88])/2 + 17*t[89] + 8*t[97] + 
       744*t[98] - 828*t[99] + 360*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((19*t[1])/2 - (69*t[2])/2 + 46*t[3] - (267*t[4])/8 + (739*t[5])/16 + 
       (113*t[6])/16 - 94*t[7] + (235*t[8])/2 - (1895*t[9])/16 + 
       (289*t[10])/16 - (1347*t[11])/16 - (345*t[12])/8 - (1957*t[13])/72 - 
       (12443*t[14])/96 - (1361*t[15])/288 - 2*t[18] - 2*t[21] + 12*t[22] + 
       2*t[23] + 4*t[24] - 6*t[25] - 9*t[26] + 2*t[27] - 2*t[28] + 
       (15*t[29])/2 - 9*t[30] - 8*t[31] + 6*t[32] + 6*t[33] - 26*t[34] - 
       2*t[35] + 8*t[36] - 2*t[37] + 8*t[38] - 10*t[39] - 2*t[40] + 
       (5*t[41])/2 - (7*t[42])/2 - (11*t[43])/8 - (11*t[44])/4 + 
       (61*t[45])/2 + (13*t[46])/2 - 23*t[47] + (467*t[48])/16 - 
       (189*t[49])/16 - (49*t[50])/16 + (135*t[51])/32 + (177*t[52])/16 + 
       (205*t[53])/16 - (101*t[54])/16 - t[56] + 2*t[57] - 2*t[59] - 
       (789*t[60])/4 - (449*t[61])/2 + (295*t[62])/4 - (855*t[63])/4 + 
       (745*t[64])/4 + (319*t[65])/3 + (565*t[66])/3 + 14*t[72] + 4*t[73] - 
       24*t[74] - 8*t[75] - 25*t[76] + 2*t[77] - 4*t[78] - 8*t[79] - 
       35*t[80] - 33*t[81] + 6*t[82] - 6*t[83] - (63*t[84])/4 - 
       (123*t[85])/4 + (79*t[86])/2 + (523*t[87])/4 + (523*t[88])/8 + 
       (507*t[89])/8 + 2*t[93] - 4*t[97] - 144*t[98] + 60*t[99] + 
       388*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((11*t[1])/2 + (19*t[2])/2 + (293*t[3])/4 - 
       (335*t[4])/8 + (225*t[5])/16 - (237*t[6])/16 - (197*t[7])/8 - 
       (515*t[8])/8 - (1499*t[9])/16 - t[10]/16 - (1055*t[11])/16 + 
       (129*t[12])/4 - (403*t[13])/16 - (12595*t[14])/96 - (777*t[15])/32 + 
       t[16] + 4*t[19] - 2*t[20] + 2*t[21] - 6*t[22] - 2*t[23] - 10*t[24] - 
       8*t[25] + 22*t[26] + 10*t[27] + 6*t[28] - t[29]/2 + 9*t[30] + 
       2*t[32] + 4*t[33] - 20*t[34] + 2*t[35] + 2*t[36] - 2*t[37] + 4*t[38] + 
       2*t[40] + (3*t[41])/2 - (3*t[42])/2 + (11*t[43])/4 + (61*t[44])/4 - 
       (77*t[45])/4 + (21*t[46])/2 + (77*t[47])/2 - (57*t[48])/16 - 
       (681*t[49])/16 + (99*t[50])/16 + (467*t[51])/32 - (259*t[52])/16 + 
       (665*t[53])/16 + (31*t[54])/16 - t[56] + 2*t[57] + 3*t[58] - 2*t[59] - 
       (789*t[60])/4 - (449*t[61])/2 + (295*t[62])/4 - (855*t[63])/4 + 
       (745*t[64])/4 + (319*t[65])/3 + (565*t[66])/3 + 14*t[72] + 4*t[73] - 
       24*t[74] - 8*t[75] - 25*t[76] + 2*t[77] - 4*t[78] - 8*t[79] - 
       35*t[80] - 33*t[81] + 6*t[82] - 6*t[83] - (63*t[84])/4 - 
       (123*t[85])/4 + (79*t[86])/2 + (523*t[87])/4 + (523*t[88])/8 + 
       (507*t[89])/8 + 2*t[93] - 4*t[97] - 144*t[98] + 60*t[99] + 
       388*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((125*t[1])/18 - (40*t[2])/9 - (221*t[3])/144 - 
       (3143*t[4])/12 + (33673*t[5])/288 - (2543*t[6])/48 + (57*t[7])/2 + 
       (8107*t[8])/72 - (12767*t[9])/288 - (595*t[10])/144 - 
       (10121*t[11])/144 + (5741*t[12])/288 - (301465*t[13])/2592 - 
       (2311*t[14])/18 + (5425*t[15])/192 + (5*t[16])/4 + (13*t[18])/9 - 
       2*t[19] - (40*t[20])/9 + (4*t[21])/9 - (17*t[22])/9 - (40*t[23])/9 - 
       (62*t[24])/9 - (17*t[25])/9 + (13*t[26])/9 + 2*t[27] + (10*t[29])/9 + 
       (35*t[30])/6 - (145*t[31])/9 - (31*t[32])/9 - t[33] + (161*t[34])/18 - 
       2*t[35] + (20*t[36])/3 + 5*t[37] - (35*t[38])/36 - 2*t[39] + 
       (89*t[40])/36 + (7*t[41])/9 + (89*t[42])/18 + (1987*t[43])/144 + 
       (395*t[44])/36 - (1567*t[45])/72 + (421*t[46])/18 + (235*t[47])/6 + 
       (2707*t[48])/36 - (1193*t[49])/48 + 9*t[50] + (283*t[51])/288 - 
       (109*t[52])/9 + (1193*t[53])/48 + (2057*t[54])/72 + (31*t[58])/18 - 
       (53*t[59])/8 - (2438*t[60])/9 - (12061*t[61])/72 - (1367*t[62])/24 - 
       (1613*t[63])/24 + (5361*t[64])/8 + (6874*t[65])/27 + 
       (16483*t[66])/54 - t[68]/2 + (2*t[69])/3 - (29*t[70])/9 + 
       (29*t[71])/9 + (26*t[72])/9 - (89*t[73])/6 + (61*t[74])/6 + 
       (101*t[75])/6 - (97*t[76])/9 - (73*t[77])/18 + (481*t[78])/36 + 
       40*t[79] + (2051*t[80])/18 - (412*t[81])/9 + (1265*t[82])/18 + 
       (193*t[83])/18 - (1613*t[84])/72 - (3259*t[85])/36 + (3409*t[86])/18 + 
       (6709*t[87])/36 + (6709*t[88])/72 + (1963*t[89])/36 - 2*t[92] + 
       2*t[93] + (7*t[97])/36 - (362*t[98])/3 + 112*t[99] + 403*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (t[1]/2 - (135*t[2])/4 + (241*t[3])/4 + 6*t[4] - (35*t[5])/16 - 
       (165*t[6])/4 - (487*t[7])/8 - (611*t[8])/8 - (877*t[9])/16 + 
       (301*t[10])/8 - (397*t[11])/4 - (573*t[12])/16 - (5131*t[13])/144 - 
       (2245*t[14])/16 - (2087*t[15])/96 - 7*t[18] - 8*t[19] - 21*t[20] - 
       6*t[21] + 19*t[22] + 8*t[23] - 7*t[24] + 10*t[27] + (11*t[29])/2 - 
       2*t[31] - (15*t[32])/2 + 5*t[33] - 16*t[34] + 4*t[35] + 2*t[36] + 
       2*t[37] + 2*t[38] - 10*t[39] + 9*t[40] - 3*t[41] + 2*t[42] + 
       (3*t[43])/4 + (59*t[44])/4 + t[45]/4 + (5*t[46])/2 + (19*t[47])/2 - 
       (147*t[48])/8 - (15*t[49])/4 + (9*t[50])/8 - (73*t[52])/8 + 
       (15*t[53])/4 - (199*t[54])/8 - t[58] + (7*t[59])/2 - (671*t[60])/4 - 
       (1409*t[61])/4 + (1107*t[62])/8 - (675*t[63])/8 + (263*t[64])/8 + 
       (77*t[65])/3 + (631*t[66])/3 - 2*t[67] + 7*t[69] + t[70] - t[71] - 
       13*t[72] + 4*t[73] - 3*t[74] - 6*t[75] + t[76] - 3*t[77] - 19*t[78] - 
       37*t[80] - (25*t[81])/2 + (19*t[82])/2 + 6*t[83] - (121*t[84])/4 + 
       (51*t[85])/2 + (25*t[86])/2 + 77*t[87] + (61*t[88])/2 + 
       (281*t[89])/8 + 2*t[95] + 2*t[96] - 3*t[97] + 24*t[98] - 100*t[99] + 
       407*t[100]) + HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w]*
      (29*t[1] + 265*t[2] - 315*t[3] + 112*t[4] - (289*t[5])/2 - 118*t[6] + 
       474*t[7] + 230*t[8] + (687*t[9])/2 - 90*t[10] - 101*t[11] - 
       (47*t[12])/2 - (5299*t[13])/18 + (2689*t[14])/6 + (1291*t[15])/12 - 
       12*t[16] + 12*t[17] - 16*t[24] - 8*t[25] + 8*t[26] - 12*t[27] - 
       12*t[32] - 16*t[33] - 2*t[34] - 24*t[36] + 2*t[38] + 16*t[39] - 
       16*t[40] + 57*t[41] - 57*t[42] + 38*t[43] - 12*t[44] - 46*t[45] + 
       92*t[46] + 182*t[47] + 135*t[48] - 10*t[49] + 139*t[50] - 66*t[51] - 
       113*t[52] - 14*t[53] - 99*t[54] - 12*t[55] + 15*t[59] + 197*t[60] + 
       143*t[61] - 297*t[62] - 123*t[63] - (455*t[64])/2 - (62*t[65])/3 + 
       (899*t[66])/3 - 8*t[67] - 24*t[68] - 8*t[70] + 8*t[71] - 16*t[74] - 
       54*t[76] - 12*t[77] + 46*t[78] + 32*t[80] - 108*t[81] - 114*t[82] - 
       74*t[84] - 82*t[85] + 136*t[86] + 14*t[87] + 7*t[88] + (409*t[89])/2 - 
       12*t[92] + 12*t[94] - 10*t[97] - 288*t[98] + 240*t[99] + 432*t[100]) + 
     HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - v]*(164*t[1] + 9*t[2] + 54*t[3] - 
       5*t[4] + 294*t[5] + 72*t[6] - 37*t[7] - 259*t[8] - 312*t[9] + 
       (557*t[10])/2 - 53*t[11] - (1307*t[12])/2 + (4937*t[13])/18 + 
       (469*t[14])/12 + (263*t[15])/3 + 24*t[16] - 12*t[17] + 4*t[18] + 
       8*t[21] + 16*t[22] - 12*t[23] + 24*t[24] - 106*t[26] + 20*t[27] - 
       48*t[32] + 68*t[33] + 12*t[34] + 48*t[36] + 114*t[38] - 68*t[39] + 
       14*t[40] + 16*t[41] - 16*t[42] - 4*t[43] + 20*t[44] - 52*t[45] - 
       8*t[46] + 136*t[47] - 98*t[48] + (13*t[49])/2 - 38*t[50] - 
       (57*t[51])/4 + 38*t[52] - (253*t[53])/2 + 149*t[54] + 12*t[55] - 
       6*t[58] + 15*t[59] + 197*t[60] + 143*t[61] - 297*t[62] - 123*t[63] - 
       (455*t[64])/2 - (62*t[65])/3 + (899*t[66])/3 - 8*t[67] - 24*t[68] - 
       8*t[70] + 8*t[71] - 16*t[74] - 54*t[76] - 12*t[77] + 46*t[78] + 
       32*t[80] - 108*t[81] - 114*t[82] - 74*t[84] - 82*t[85] + 136*t[86] + 
       14*t[87] + 7*t[88] + (409*t[89])/2 - 12*t[92] + 12*t[94] - 10*t[97] - 
       288*t[98] + 240*t[99] + 432*t[100]) + 
     HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w]*((73*t[1])/2 + (561*t[2])/2 - 
       (633*t[3])/2 + (187*t[4])/2 - (489*t[5])/4 - 120*t[6] + (973*t[7])/2 + 
       (439*t[8])/2 + (1393*t[9])/4 - (349*t[10])/4 - (233*t[11])/2 - 
       24*t[12] - (10079*t[13])/36 + (11041*t[14])/24 + (2731*t[15])/24 - 
       12*t[16] + 12*t[17] - 16*t[24] - 8*t[25] + 2*t[26] - 12*t[27] - 
       18*t[32] - 10*t[33] - 3*t[34] - 24*t[36] + 9*t[38] + 10*t[39] - 
       10*t[40] + (123*t[41])/2 - (123*t[42])/2 + 38*t[43] - 12*t[44] - 
       54*t[45] + 100*t[46] + 202*t[47] + 138*t[48] - (53*t[49])/4 + 
       142*t[50] - (575*t[51])/8 - 115*t[52] - (43*t[53])/4 - (187*t[54])/2 - 
       12*t[55] + (23*t[59])/2 + 188*t[60] + 136*t[61] - (1255*t[62])/4 - 
       (481*t[63])/4 - (419*t[64])/2 - (59*t[65])/6 + (973*t[66])/3 - 
       8*t[67] - 24*t[68] - 8*t[70] + 8*t[71] - 16*t[74] - 54*t[76] - 
       18*t[77] + 46*t[78] + 32*t[80] - 122*t[81] - 116*t[82] - 
       (153*t[84])/2 - (201*t[85])/2 + 136*t[86] + (61*t[87])/2 + 
       (61*t[88])/4 + 205*t[89] - 12*t[92] + 12*t[94] - 9*t[97] - 288*t[98] + 
       240*t[99] + 432*t[100]) + HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - v]*
      (177*t[1] + (33*t[2])/2 + (109*t[3])/2 - (37*t[4])/2 + 316*t[5] + 
       (201*t[6])/4 - 37*t[7] - 261*t[8] - 335*t[9] + (1075*t[10])/4 - 
       (217*t[11])/4 - (2713*t[12])/4 + (2476*t[13])/9 + (839*t[14])/24 + 
       (1195*t[15])/12 + 24*t[16] - 12*t[17] + 4*t[18] + 8*t[21] + 16*t[22] - 
       10*t[23] + 24*t[24] - 114*t[26] + 20*t[27] - 42*t[32] + 62*t[33] + 
       12*t[34] + 48*t[36] + 123*t[38] - 62*t[39] + 7*t[40] + 16*t[41] - 
       16*t[42] - 4*t[43] + 20*t[44] - 52*t[45] - 2*t[46] + 136*t[47] - 
       (373*t[48])/4 + (13*t[49])/4 - (141*t[50])/4 - (145*t[51])/8 + 
       (133*t[52])/4 - (493*t[53])/4 + (583*t[54])/4 + 12*t[55] - 6*t[58] + 
       (23*t[59])/2 + 188*t[60] + 136*t[61] - (1255*t[62])/4 - 
       (481*t[63])/4 - (419*t[64])/2 - (59*t[65])/6 + (973*t[66])/3 - 
       8*t[67] - 24*t[68] - 8*t[70] + 8*t[71] - 16*t[74] - 54*t[76] - 
       18*t[77] + 46*t[78] + 32*t[80] - 122*t[81] - 116*t[82] - 
       (153*t[84])/2 - (201*t[85])/2 + 136*t[86] + (61*t[87])/2 + 
       (61*t[88])/4 + 205*t[89] - 12*t[92] + 12*t[94] - 9*t[97] - 288*t[98] + 
       240*t[99] + 432*t[100]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-3*t[1])/2 - (113*t[2])/4 + 90*t[3] - 
       (269*t[4])/4 + (71*t[5])/4 - (485*t[6])/8 - (49*t[7])/2 - 155*t[8] - 
       (43*t[9])/2 + (17*t[10])/8 - (609*t[11])/8 + (159*t[12])/8 - 
       (373*t[13])/12 - (1899*t[14])/16 - (1871*t[15])/72 + t[16] - t[17]/2 - 
       2*t[18] - 2*t[19] - 2*t[20] + 2*t[22] + t[23] - 5*t[24] + t[25] + 
       t[26] + 5*t[27] + 8*t[29] + 2*t[30] + 4*t[31] - 9*t[32] - 10*t[34] + 
       4*t[36] + 4*t[37] - (3*t[38])/2 - 5*t[39] + t[40] + t[41]/2 + 
       t[42]/2 + (5*t[43])/2 + 15*t[44] - 10*t[45] + 6*t[46] + 25*t[47] - 
       (245*t[48])/8 - (61*t[49])/8 + (19*t[50])/8 + (19*t[51])/16 - 
       (75*t[52])/8 + (117*t[53])/8 - (41*t[54])/8 + 2*t[55] + (5*t[59])/2 - 
       (437*t[60])/2 - (525*t[61])/2 + (667*t[62])/8 + (253*t[63])/8 + 
       (507*t[64])/4 + (146*t[65])/3 + (549*t[66])/4 - (3*t[67])/2 - t[68] + 
       2*t[69] - 6*t[70] + 6*t[71] - 16*t[72] - 7*t[74] + (35*t[76])/2 - 
       t[77] - 41*t[78] + 3*t[80] - 14*t[81] + (39*t[82])/2 - 57*t[84] + 
       (29*t[85])/4 + 22*t[86] + (351*t[87])/4 + (55*t[88])/8 + 
       (75*t[89])/4 - t[90] + 8*t[95] + 8*t[96] - 2*t[97] + 120*t[98] - 
       240*t[99] + 444*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-9*t[1] - (47*t[2])/4 + 54*t[3] - 
       (169*t[4])/4 + (375*t[5])/8 - (91*t[6])/2 - (111*t[7])/4 - 
       (229*t[8])/4 - (645*t[9])/8 + (557*t[10])/8 - (327*t[11])/4 - 
       t[12]/4 - (293*t[13])/8 - (5143*t[14])/48 - (1219*t[15])/144 + 
       t[17]/2 - 2*t[19] - 2*t[20] - 2*t[21] + 2*t[22] + 2*t[23] - 13*t[25] + 
       (37*t[26])/2 - t[27] + 3*t[29] + 6*t[30] + 4*t[31] - 17*t[32] + 
       2*t[33] + 2*t[34] + 2*t[36] + 4*t[37] - (9*t[38])/2 - 7*t[39] + 
       8*t[40] - t[41] + t[42] + t[43] - (3*t[44])/2 - 4*t[45] - 
       (3*t[46])/2 + 4*t[47] - (19*t[48])/4 + (177*t[49])/8 + (61*t[50])/4 - 
       (143*t[51])/16 - (77*t[52])/4 - (9*t[53])/8 - (87*t[54])/2 - 2*t[55] - 
       t[58]/2 + (5*t[59])/2 - (437*t[60])/2 - (525*t[61])/2 + 
       (667*t[62])/8 + (253*t[63])/8 + (507*t[64])/4 + (146*t[65])/3 + 
       (549*t[66])/4 - (3*t[67])/2 - t[68] + 2*t[69] - 6*t[70] + 6*t[71] - 
       16*t[72] - 7*t[74] + (35*t[76])/2 - t[77] - 41*t[78] + 3*t[80] - 
       14*t[81] + (39*t[82])/2 - 57*t[84] + (29*t[85])/4 + 22*t[86] + 
       (351*t[87])/4 + (55*t[88])/8 + (75*t[89])/4 - t[90] + 8*t[95] + 
       8*t[96] - 2*t[97] + 120*t[98] - 240*t[99] + 444*t[100]) + 
     HPL[{0, 1}, 1 - v]*Qep[u, w, v]*((80*t[1])/9 - (128*t[2])/9 + 
       (1610*t[3])/9 + 64*t[4] + (3241*t[5])/9 + (28*t[6])/3 - 832*t[7] + 
       (532*t[8])/9 - (10223*t[9])/9 + (772*t[10])/9 - (4666*t[11])/9 - 
       (4201*t[12])/9 - (15484*t[13])/81 - (4823*t[14])/9 + (8393*t[15])/54 - 
       (256*t[18])/9 + (64*t[20])/9 - (256*t[21])/9 + (704*t[22])/9 + 
       (256*t[23])/9 - (448*t[24])/9 + (128*t[25])/9 - (64*t[26])/9 + 
       (64*t[27])/3 + (128*t[29])/9 + (32*t[30])/3 - (224*t[31])/9 + 
       (64*t[32])/9 - (1312*t[34])/9 + (64*t[36])/3 + (224*t[38])/9 + 
       (256*t[40])/9 - (160*t[41])/9 + (32*t[42])/9 + (530*t[43])/9 + 
       (64*t[44])/9 + (968*t[45])/9 + (256*t[46])/9 - 272*t[47] + 
       (1004*t[48])/9 - (104*t[49])/3 - (316*t[50])/3 - (20*t[51])/9 + 
       (1108*t[52])/9 + (104*t[53])/3 - (124*t[54])/9 - (128*t[58])/9 - 
       (64*t[59])/3 - (5416*t[60])/9 - (12844*t[61])/9 + (3718*t[62])/3 - 
       (1030*t[63])/3 + (1258*t[64])/3 - (10780*t[65])/27 + 
       (36436*t[66])/27 - (64*t[69])/3 + (320*t[70])/9 - (320*t[71])/9 - 
       (320*t[72])/9 + 32*t[73] + 64*t[74] - 32*t[75] - (1088*t[76])/9 - 
       (160*t[77])/9 + (224*t[78])/9 - (1552*t[80])/9 - (944*t[81])/9 - 
       (400*t[82])/9 - (512*t[83])/9 - (224*t[84])/9 - (1208*t[85])/9 - 
       (2120*t[86])/9 + (4280*t[87])/9 + (2140*t[88])/9 + (1076*t[89])/9 - 
       (160*t[97])/9 - (1792*t[98])/3 + 512*t[99] + 576*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*
      ((171*t[1])/4 - (423*t[2])/2 + (291*t[3])/2 - (107*t[4])/8 + 
       (1563*t[5])/16 - (575*t[6])/16 + 234*t[7] + 54*t[8] - (3219*t[9])/16 - 
       (863*t[10])/8 + (6377*t[11])/16 + (2567*t[12])/16 + (4453*t[13])/24 - 
       (6525*t[14])/32 - (2015*t[15])/32 + 3*t[17] + 24*t[18] - 15*t[19] + 
       60*t[20] - 12*t[21] - 36*t[22] + 12*t[23] - 24*t[24] - 6*t[25] + 
       (33*t[26])/2 - 33*t[27] - 48*t[28] - 3*t[29] - 36*t[30] + 24*t[31] - 
       36*t[32] + 54*t[33] - 51*t[34] + 12*t[35] + (27*t[36])/2 + 
       (51*t[37])/2 + 15*t[38] - 48*t[39] + (75*t[40])/2 - (81*t[41])/2 + 
       (105*t[42])/2 - (195*t[43])/4 - (81*t[44])/2 + (69*t[45])/2 - 
       27*t[46] + 177*t[47] - (519*t[48])/16 - t[49]/2 - (591*t[50])/16 + 
       (1577*t[51])/32 - (825*t[52])/16 + 17*t[53] - (1379*t[54])/16 - 
       6*t[56] + 24*t[57] + (21*t[58])/2 - (117*t[59])/4 + (7*t[60])/8 + 
       (193*t[61])/4 - (5737*t[62])/8 - 835*t[63] + (9613*t[64])/8 + 
       (8747*t[65])/24 - (17599*t[66])/24 + (15*t[68])/2 + 30*t[69] - 
       42*t[70] + 42*t[71] - 24*t[72] + 84*t[73] - (315*t[74])/2 - 
       120*t[75] - 39*t[76] - (171*t[77])/2 + 63*t[78] + 84*t[79] - 
       114*t[80] + (111*t[81])/4 - (177*t[82])/4 + 99*t[83] - 
       (1413*t[84])/8 - (391*t[85])/4 + 792*t[86] + (511*t[87])/4 + 
       (703*t[88])/8 + (2971*t[89])/16 + 6*t[93] - 9*t[95] + 39*t[96] + 
       30*t[97] - 72*t[98] + 204*t[99] + 606*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*
      ((-9*t[1])/2 - (1653*t[2])/8 - (1353*t[3])/16 + (609*t[4])/8 - 
       (2741*t[5])/16 - (427*t[6])/8 + (1311*t[7])/8 + (3273*t[8])/8 + 
       (3815*t[9])/16 - (465*t[10])/16 + (739*t[11])/8 + 254*t[12] + 
       (2977*t[13])/48 - (2199*t[14])/32 - (2651*t[15])/16 - (3*t[17])/4 + 
       24*t[18] - 12*t[19] - 12*t[20] + 18*t[21] - 18*t[23] + 21*t[24] + 
       18*t[25] - 6*t[26] + 18*t[27] - 36*t[28] - (39*t[29])/4 + 
       (57*t[30])/2 + (87*t[32])/2 - 33*t[33] - 6*t[34] + 60*t[35] + 
       84*t[36] + 57*t[37] + 12*t[38] + (27*t[39])/2 - (129*t[40])/4 + 
       (135*t[41])/4 - (87*t[42])/4 - (333*t[43])/4 + (423*t[44])/8 - 
       33*t[45] - 33*t[46] + (339*t[47])/2 + (47*t[48])/4 + (105*t[49])/16 - 
       (331*t[50])/4 + (435*t[51])/32 + (343*t[52])/4 + (375*t[53])/16 - 
       (275*t[54])/4 + 12*t[58] - (117*t[59])/4 + (7*t[60])/8 + 
       (193*t[61])/4 - (5737*t[62])/8 - 835*t[63] + (9613*t[64])/8 + 
       (8747*t[65])/24 - (17599*t[66])/24 + (15*t[68])/2 + 30*t[69] - 
       42*t[70] + 42*t[71] - 24*t[72] + 84*t[73] - (315*t[74])/2 - 
       120*t[75] - 39*t[76] - (171*t[77])/2 + 63*t[78] + 84*t[79] - 
       114*t[80] + (111*t[81])/4 - (177*t[82])/4 + 99*t[83] - 
       (1413*t[84])/8 - (391*t[85])/4 + 792*t[86] + (511*t[87])/4 + 
       (703*t[88])/8 + (2971*t[89])/16 + 6*t[93] - 9*t[95] + 39*t[96] + 
       30*t[97] - 72*t[98] + 204*t[99] + 606*t[100]) + 
     HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w]*(24*t[1] - (203*t[2])/2 + 159*t[3] - 
       (179*t[4])/4 + (273*t[5])/8 + (349*t[6])/8 + 72*t[7] + (413*t[8])/4 - 
       (1425*t[9])/8 + (1641*t[10])/8 + (279*t[11])/8 + (385*t[12])/2 + 
       (265*t[13])/3 - (8143*t[14])/48 - (2593*t[15])/48 - 4*t[16] + 
       (7*t[17])/2 + 16*t[18] + 16*t[21] - 59*t[22] - 15*t[23] - 39*t[24] - 
       8*t[25] + (127*t[26])/2 + 24*t[27] + 11*t[32] + 6*t[33] - 20*t[34] - 
       8*t[36] + 11*t[38] - 6*t[39] + 5*t[40] + t[41]/2 + (15*t[42])/2 + 
       (25*t[43])/2 + 32*t[44] - 53*t[45] + 115*t[47] - (723*t[48])/8 - 
       (163*t[49])/8 - (467*t[50])/8 + (483*t[51])/16 - (197*t[52])/8 + 
       (163*t[53])/8 - (251*t[54])/8 - 8*t[56] + 16*t[57] + (7*t[58])/2 - 
       (11*t[59])/2 - 71*t[60] - 236*t[61] - (119*t[62])/4 - (1911*t[63])/4 + 
       327*t[64] + (5315*t[65])/12 - (1669*t[66])/12 + 8*t[67] + 9*t[68] - 
       32*t[70] + 32*t[71] - 176*t[74] + (55*t[76])/2 + 15*t[77] - 
       (99*t[78])/2 + 206*t[80] + (83*t[81])/2 + (29*t[82])/2 - 
       (127*t[84])/4 + 149*t[85] + 334*t[86] - 38*t[87] - 19*t[88] + 
       177*t[89] + 8*t[92] - 8*t[94] - 2*t[97] + 96*t[98] - 288*t[99] + 
       672*t[100]) + HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - v]*
      ((29*t[1])/2 - (857*t[2])/4 + (297*t[3])/4 + (503*t[4])/4 - 
       (2041*t[5])/8 - (225*t[6])/8 + 23*t[7] + (129*t[8])/4 + 
       (3181*t[9])/8 - (3521*t[10])/8 - (639*t[11])/8 + (385*t[12])/2 + 
       (215*t[13])/6 - (3679*t[14])/16 - (11045*t[15])/48 - t[16]/2 + 
       16*t[18] + 16*t[21] - 24*t[22] - 16*t[23] + 48*t[24] - 24*t[25] - 
       16*t[26] + 8*t[27] + 8*t[32] + 48*t[33] + 28*t[34] - t[36] - 3*t[38] - 
       48*t[39] - 22*t[40] + 14*t[41] - 6*t[42] - 36*t[43] - 16*t[45] - 
       19*t[46] + 122*t[47] + (65*t[48])/8 - (33*t[49])/8 + t[50]/8 + 
       (577*t[51])/16 + (63*t[52])/8 + (33*t[53])/8 - (551*t[54])/8 - 
       4*t[56] - 8*t[57] + 8*t[58] - (11*t[59])/2 - 71*t[60] - 236*t[61] - 
       (119*t[62])/4 - (1911*t[63])/4 + 327*t[64] + (5315*t[65])/12 - 
       (1669*t[66])/12 + 8*t[67] + 9*t[68] - 32*t[70] + 32*t[71] - 
       176*t[74] + (55*t[76])/2 + 15*t[77] - (99*t[78])/2 + 206*t[80] + 
       (83*t[81])/2 + (29*t[82])/2 - (127*t[84])/4 + 149*t[85] + 334*t[86] - 
       38*t[87] - 19*t[88] + 177*t[89] + 8*t[92] - 8*t[94] - 2*t[97] + 
       96*t[98] - 288*t[99] + 672*t[100]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-11*t[1] + 22*t[2] + 33*t[3] - (23*t[4])/2 + 
       (161*t[5])/4 - (153*t[6])/4 - 24*t[7] - 46*t[8] - (145*t[9])/4 + 
       (193*t[10])/2 - (461*t[11])/4 - (75*t[12])/4 - (689*t[13])/9 - 
       (865*t[14])/8 - (679*t[15])/24 - 4*t[19] - 4*t[21] + 4*t[23] - 
       26*t[25] + 36*t[26] + 6*t[27] + 8*t[30] + 8*t[31] + 4*t[35] + 
       2*t[36] + 8*t[37] - 10*t[38] - 8*t[39] - 10*t[40] - 2*t[41] + 
       2*t[42] + 8*t[43] + 2*t[44] - 2*t[45] + 2*t[46] + 12*t[47] - 
       (93*t[48])/4 + 28*t[49] + (115*t[50])/4 - (131*t[51])/8 - 
       (83*t[52])/4 - 17*t[53] - (185*t[54])/4 + 10*t[59] - (347*t[60])/2 - 
       386*t[61] + (125*t[62])/2 - (245*t[63])/2 - 15*t[64] + (425*t[65])/6 + 
       (439*t[66])/2 - 4*t[67] + 6*t[69] - 2*t[70] + 2*t[71] - 22*t[72] - 
       10*t[74] - 4*t[75] + 14*t[76] + 6*t[77] - 36*t[78] - 8*t[79] - 
       56*t[80] - 13*t[81] + 23*t[82] + 24*t[83] - (107*t[84])/2 + 59*t[85] + 
       44*t[86] + 72*t[87] + 20*t[88] + (301*t[89])/4 + 4*t[95] + 4*t[96] - 
       4*t[97] + 96*t[98] - 224*t[99] + 718*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*(-2*t[1] - (69*t[2])/2 + 
       (299*t[3])/4 - (63*t[4])/2 - (71*t[5])/4 - 44*t[6] + (81*t[7])/2 - 
       (305*t[8])/2 + (25*t[9])/4 + (47*t[10])/4 - (225*t[11])/2 - 
       (37*t[12])/2 - (941*t[13])/18 - (3697*t[14])/24 - (415*t[15])/9 - 
       2*t[18] - 8*t[19] - 10*t[20] - 8*t[21] + 10*t[22] + 12*t[23] - 
       6*t[24] + 16*t[27] + 7*t[29] + 4*t[31] - 19*t[32] + 10*t[33] - 
       4*t[34] + 8*t[35] + 8*t[37] - 20*t[39] + 12*t[40] - t[41] + t[42] + 
       7*t[43] + (63*t[44])/2 - 10*t[45] + 4*t[46] + 30*t[47] - 48*t[48] - 
       (27*t[49])/4 + 19*t[50] + (11*t[51])/8 - 35*t[52] + (27*t[53])/4 - 
       40*t[54] + 10*t[59] - (347*t[60])/2 - 386*t[61] + (125*t[62])/2 - 
       (245*t[63])/2 - 15*t[64] + (425*t[65])/6 + (439*t[66])/2 - 4*t[67] + 
       6*t[69] - 2*t[70] + 2*t[71] - 22*t[72] - 10*t[74] - 4*t[75] + 
       14*t[76] + 6*t[77] - 36*t[78] - 8*t[79] - 56*t[80] - 13*t[81] + 
       23*t[82] + 24*t[83] - (107*t[84])/2 + 59*t[85] + 44*t[86] + 72*t[87] + 
       20*t[88] + (301*t[89])/4 + 4*t[95] + 4*t[96] - 4*t[97] + 96*t[98] - 
       224*t[99] + 718*t[100]) + HPL[{0, 1}, 1 - v]*Qep[v, u, w]*
      ((80*t[1])/3 - 48*t[2] + 10*t[3] + 56*t[4] + (19*t[5])/3 + 
       (380*t[6])/3 - (748*t[7])/3 + (1216*t[8])/3 - (1025*t[9])/3 - 
       (16*t[10])/3 - (302*t[11])/3 - 145*t[12] - (544*t[13])/27 - 
       (1523*t[14])/9 + (2869*t[15])/54 + (256*t[22])/3 - (64*t[24])/3 + 
       (64*t[25])/3 + (64*t[27])/3 + (32*t[29])/3 - (32*t[30])/3 - 
       (32*t[31])/3 + (64*t[32])/3 - (64*t[33])/3 - 96*t[34] + 32*t[36] + 
       (64*t[38])/3 + (64*t[39])/3 - (32*t[40])/3 - (70*t[43])/3 + 
       (280*t[45])/3 + (80*t[46])/3 - 80*t[47] + 76*t[48] - (200*t[49])/3 - 
       20*t[50] + (40*t[51])/3 + 52*t[52] + (200*t[53])/3 - (116*t[54])/3 - 
       48*t[59] - 200*t[60] - 668*t[61] + (1298*t[62])/3 - (2786*t[63])/3 + 
       490*t[64] + (212*t[65])/3 + 364*t[66] - (64*t[69])/3 - (64*t[70])/3 + 
       (64*t[71])/3 - (128*t[72])/3 + (256*t[73])/3 + (32*t[74])/3 - 
       (256*t[75])/3 - (352*t[76])/3 - 32*t[77] + (160*t[78])/3 - 176*t[80] - 
       (176*t[81])/3 - (400*t[82])/3 - (256*t[83])/3 + 16*t[84] - 
       (280*t[85])/3 + (536*t[86])/3 + 296*t[87] + 148*t[88] + 284*t[89] - 
       (64*t[97])/3 - 640*t[98] + 640*t[99] + 768*t[100]) + 
     HPL[{0, 1}, 1 - w]*Qep[v, u, w]*((112*t[2])/3 + 98*t[3] + (208*t[4])/3 - 
       47*t[5] + 70*t[6] - (482*t[7])/3 - (74*t[8])/3 - (551*t[9])/3 - 
       170*t[10] - (574*t[11])/3 - (191*t[12])/3 - (673*t[13])/9 - 
       397*t[14] - (6265*t[15])/54 + (64*t[22])/3 - (64*t[25])/3 + 
       (64*t[26])/3 - (64*t[27])/3 - (32*t[29])/3 + (32*t[30])/3 + 
       (64*t[31])/3 - (64*t[32])/3 + (64*t[33])/3 - 96*t[34] + 32*t[36] + 
       (64*t[38])/3 - (64*t[39])/3 + 32*t[40] - (16*t[41])/3 + (16*t[42])/3 - 
       28*t[43] + 44*t[45] + (32*t[46])/3 - (8*t[47])/3 + (272*t[48])/3 - 
       (244*t[49])/3 + 16*t[50] + (130*t[51])/3 - (80*t[52])/3 + 
       (244*t[53])/3 + (56*t[54])/3 + (64*t[58])/3 - 16*t[59] - 
       (968*t[60])/3 - 340*t[61] + 370*t[62] - (1862*t[63])/3 + 
       (1178*t[64])/3 + (508*t[65])/3 + (3940*t[66])/9 + (64*t[69])/3 + 
       (64*t[70])/3 - (64*t[71])/3 - (128*t[72])/3 + 32*t[74] - 
       (416*t[76])/3 - (32*t[77])/3 + (224*t[78])/3 - (944*t[80])/3 - 
       (272*t[81])/3 - (176*t[82])/3 + (16*t[84])/3 - (520*t[85])/3 - 
       (184*t[86])/3 + (1448*t[87])/3 + (724*t[88])/3 + (1052*t[89])/3 - 
       (64*t[97])/3 - 896*t[98] + 896*t[99] + 768*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*(-6*t[1] - (105*t[2])/4 + 
       (1113*t[3])/8 - (475*t[4])/4 + (4869*t[5])/16 + (161*t[6])/4 - 
       (871*t[7])/2 - (101*t[8])/4 - (10303*t[9])/16 + (2941*t[10])/8 - 
       (3009*t[11])/8 - (3307*t[12])/16 - (3373*t[13])/24 - (2487*t[14])/8 + 
       (8621*t[15])/96 + 3*t[16] - (3*t[17])/2 - 24*t[18] - 24*t[21] + 
       54*t[22] + 24*t[23] - 18*t[24] + 3*t[25] - 16*t[26] + 9*t[27] + 
       12*t[31] - 18*t[32] + 24*t[33] - 72*t[34] + 6*t[36] + 6*t[37] + 
       17*t[38] - 24*t[39] + 36*t[40] - 6*t[41] - 6*t[42] + (213*t[43])/8 + 
       (213*t[45])/2 + (3*t[46])/2 - 177*t[47] + 2*t[48] - (83*t[49])/8 - 
       40*t[50] - (43*t[51])/16 + 52*t[52] + (83*t[53])/8 + (143*t[54])/4 + 
       3*t[56] + 12*t[57] - 9*t[58] + 27*t[59] - 414*t[60] - (2733*t[61])/4 + 
       (3553*t[62])/8 + (863*t[63])/8 - (139*t[64])/8 - (1025*t[65])/4 + 
       (11125*t[66])/12 - 3*t[67] - 6*t[68] + 48*t[70] - 48*t[71] - 
       12*t[72] + 18*t[74] - 90*t[76] - 6*t[77] + 18*t[78] - 351*t[80] - 
       85*t[81] + 17*t[82] - 18*t[83] - (135*t[84])/2 - 68*t[85] - 
       (501*t[86])/2 + 263*t[87] + (263*t[88])/2 - 47*t[89] - 3*t[92] + 
       3*t[94] - 6*t[97] - 504*t[98] + 288*t[99] + 774*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (-42*t[1] + (325*t[2])/4 + (503*t[3])/8 + (75*t[4])/4 - (881*t[5])/16 + 
       (95*t[6])/8 - (917*t[7])/8 - (2045*t[8])/8 - (1151*t[9])/16 + 
       (161*t[10])/4 - (2681*t[11])/8 + (203*t[12])/16 - (15115*t[13])/48 - 
       (1579*t[14])/6 - (3103*t[15])/96 + (3*t[17])/2 - 24*t[18] - 6*t[19] - 
       6*t[20] - 30*t[21] + 30*t[23] - 24*t[24] - 9*t[25] + 36*t[26] - 
       3*t[27] + 12*t[29] + 6*t[32] - 6*t[33] - 30*t[34] + 6*t[37] - 
       33*t[38] + 6*t[39] - 18*t[40] - 2*t[41] - 10*t[42] - (15*t[43])/4 + 
       6*t[44] - (25*t[45])/4 + (71*t[46])/2 - (51*t[47])/2 + (91*t[48])/2 - 
       (363*t[49])/8 + (109*t[50])/2 - (275*t[51])/16 - t[52]/2 + 
       (363*t[53])/8 - (139*t[54])/4 + 3*t[58] + 27*t[59] - 414*t[60] - 
       (2733*t[61])/4 + (3553*t[62])/8 + (863*t[63])/8 - (139*t[64])/8 - 
       (1025*t[65])/4 + (11125*t[66])/12 - 3*t[67] - 6*t[68] + 48*t[70] - 
       48*t[71] - 12*t[72] + 18*t[74] - 90*t[76] - 6*t[77] + 18*t[78] - 
       351*t[80] - 85*t[81] + 17*t[82] - 18*t[83] - (135*t[84])/2 - 
       68*t[85] - (501*t[86])/2 + 263*t[87] + (263*t[88])/2 - 47*t[89] - 
       3*t[92] + 3*t[94] - 6*t[97] - 504*t[98] + 288*t[99] + 774*t[100]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w]*((185*t[1])/2 + (1473*t[2])/2 - 
       (1561*t[3])/2 + (495*t[4])/2 - (601*t[5])/4 - 360*t[6] + 
       (2515*t[7])/2 + (1329*t[8])/2 + (2761*t[9])/4 - (333*t[10])/4 - 
       (1129*t[11])/2 - 175*t[12] - (33839*t[13])/36 + (22693*t[14])/24 + 
       (6683*t[15])/24 - 36*t[16] + 36*t[17] - 16*t[24] - 56*t[25] + 
       42*t[26] - 36*t[27] - 50*t[32] - 2*t[33] - 3*t[34] - 72*t[36] + 
       17*t[38] + 2*t[39] - 50*t[40] + (315*t[41])/2 - (315*t[42])/2 + 
       98*t[43] - 36*t[44] - 194*t[45] + 268*t[46] + 582*t[47] + 420*t[48] - 
       (49*t[49])/4 + 400*t[50] - (1443*t[51])/8 - 325*t[52] - 
       (239*t[53])/4 - (675*t[54])/2 - 36*t[55] + (87*t[59])/2 + 266*t[60] - 
       498*t[61] - (2579*t[62])/4 - (2773*t[63])/4 - (929*t[64])/2 + 
       (1057*t[65])/6 + 1651*t[66] - 32*t[67] - 72*t[68] - 8*t[70] + 
       8*t[71] - 64*t[74] - 162*t[76] - 26*t[77] + 106*t[78] - 160*t[80] - 
       370*t[81] - 216*t[82] - (597*t[84])/2 - (349*t[85])/2 + 376*t[86] + 
       (353*t[87])/2 + (353*t[88])/4 + 721*t[89] - 36*t[92] + 36*t[94] - 
       33*t[97] - 864*t[98] + 528*t[99] + 2304*t[100]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - v]*(453*t[1] + (105*t[2])/2 + 
       (505*t[3])/2 - (381*t[4])/2 + 850*t[5] + (513*t[6])/4 - 131*t[7] - 
       815*t[8] - 953*t[9] + (2835*t[10])/4 - (1593*t[11])/4 - 
       (7265*t[12])/4 + (11081*t[13])/18 - (4777*t[14])/24 + 
       (2683*t[15])/12 + 72*t[16] - 36*t[17] + 4*t[18] + 8*t[21] + 64*t[22] - 
       22*t[23] + 72*t[24] - 294*t[26] + 92*t[27] - 130*t[32] + 222*t[33] + 
       36*t[34] + 144*t[36] + 315*t[38] - 222*t[39] + 35*t[40] + 52*t[41] - 
       52*t[42] - 4*t[43] + 92*t[44] - 124*t[45] + 30*t[46] + 376*t[47] - 
       (1425*t[48])/4 - (283*t[49])/4 - (425*t[50])/4 - (345*t[51])/8 + 
       (417*t[52])/4 - (1157*t[53])/4 + (1827*t[54])/4 + 36*t[55] - 
       18*t[58] + (87*t[59])/2 + 266*t[60] - 498*t[61] - (2579*t[62])/4 - 
       (2773*t[63])/4 - (929*t[64])/2 + (1057*t[65])/6 + 1651*t[66] - 
       32*t[67] - 72*t[68] - 8*t[70] + 8*t[71] - 64*t[74] - 162*t[76] - 
       26*t[77] + 106*t[78] - 160*t[80] - 370*t[81] - 216*t[82] - 
       (597*t[84])/2 - (349*t[85])/2 + 376*t[86] + (353*t[87])/2 + 
       (353*t[88])/4 + 721*t[89] - 36*t[92] + 36*t[94] - 33*t[97] - 
       864*t[98] + 528*t[99] + 2304*t[100]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w]*(168*t[1] + 1368*t[2] - 1392*t[3] + 
       462*t[4] - 84*t[5] - 720*t[6] + 2310*t[7] + 1338*t[8] + 1014*t[9] + 
       3*t[10] - 1344*t[11] - 453*t[12] - 1982*t[13] + (2913*t[14])/2 + 
       498*t[15] - 72*t[16] + 72*t[17] - 144*t[25] + 120*t[26] - 72*t[27] - 
       96*t[32] + 24*t[33] - 144*t[36] + 24*t[38] - 24*t[39] - 120*t[40] + 
       288*t[41] - 288*t[42] + 180*t[43] - 72*t[44] - 420*t[45] + 504*t[46] + 
       1140*t[47] + 846*t[48] + 3*t[49] + 774*t[50] - (651*t[51])/2 - 
       630*t[52] - 147*t[53] - 732*t[54] - 72*t[55] + 96*t[59] + 234*t[60] - 
       1902*t[61] - 981*t[62] - 1731*t[63] - 777*t[64] + 566*t[65] + 
       3962*t[66] - 72*t[67] - 144*t[68] - 144*t[74] - 324*t[76] - 24*t[77] + 
       180*t[78] - 576*t[80] - 744*t[81] - 300*t[82] - 666*t[84] - 
       222*t[85] + 720*t[86] + 438*t[87] + 219*t[88] + 1557*t[89] - 
       72*t[92] + 72*t[94] - 72*t[97] - 1728*t[98] + 864*t[99] + 
       5616*t[100]) + HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - v]*
      (828*t[1] + 108*t[2] + 594*t[3] - 516*t[4] + 1602*t[5] + 237*t[6] - 
       258*t[7] - 1686*t[8] - 1842*t[9] + 1308*t[10] - 1035*t[11] - 
       3414*t[12] + 1027*t[13] - 702*t[14] + 372*t[15] + 144*t[16] - 
       72*t[17] + 144*t[22] - 24*t[23] + 144*t[24] - 540*t[26] + 216*t[27] - 
       264*t[32] + 480*t[33] + 72*t[34] + 288*t[36] + 576*t[38] - 480*t[39] + 
       96*t[40] + 108*t[41] - 108*t[42] + 216*t[44] - 216*t[45] + 96*t[46] + 
       720*t[47] - 789*t[48] - 222*t[49] - 213*t[50] - 75*t[51] + 189*t[52] - 
       498*t[53] + 933*t[54] + 72*t[55] - 36*t[58] + 96*t[59] + 234*t[60] - 
       1902*t[61] - 981*t[62] - 1731*t[63] - 777*t[64] + 566*t[65] + 
       3962*t[66] - 72*t[67] - 144*t[68] - 144*t[74] - 324*t[76] - 24*t[77] + 
       180*t[78] - 576*t[80] - 744*t[81] - 300*t[82] - 666*t[84] - 
       222*t[85] + 720*t[86] + 438*t[87] + 219*t[88] + 1557*t[89] - 
       72*t[92] + 72*t[94] - 72*t[97] - 1728*t[98] + 864*t[99] + 
       5616*t[100]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((13*t[1])/4 + (75*t[2])/4 + (17*t[3])/2 - (253*t[4])/4 - (73*t[5])/4 + 
       (317*t[6])/8 + 54*t[7] - (533*t[8])/4 - (7*t[9])/4 + (753*t[10])/8 - 
       (639*t[11])/8 + (325*t[12])/8 - (1103*t[13])/72 - (1771*t[14])/48 + 
       (433*t[15])/72 + (3*t[16])/2 - 2*t[17] - 4*t[19] + 12*t[20] - 
       2*t[21] + 2*t[22] + 2*t[23] - 16*t[24] - 4*t[25] + 30*t[26] + 
       12*t[27] - 4*t[28] - 17*t[29] + 24*t[30] + 12*t[31] - t[32] - 
       9*t[33] + (9*t[34])/2 + 8*t[35] - t[36] + 4*t[37] + (9*t[38])/2 + 
       5*t[39] - (11*t[40])/2 + (3*t[41])/4 - (3*t[42])/4 + (25*t[43])/4 + 
       (73*t[44])/2 - 30*t[45] - 4*t[46] + 23*t[47] - (369*t[48])/8 - 
       (255*t[49])/8 + (459*t[50])/8 + (65*t[51])/16 - (343*t[52])/8 + 
       (319*t[53])/8 + (327*t[54])/8 + t[56] - 2*t[58] + 3*t[59] - 
       121*t[60] - (529*t[61])/2 + 222*t[62] + (73*t[63])/2 - (287*t[64])/4 + 
       (463*t[65])/12 + (3391*t[66])/12 + 2*t[68] + 6*t[69] - 10*t[72] - 
       12*t[74] + (47*t[76])/2 + 5*t[77] - (53*t[78])/2 - (9*t[81])/2 + 
       (11*t[82])/2 + 19*t[83] + (105*t[84])/4 + (103*t[85])/2 - 53*t[86] + 
       (49*t[87])/2 + (49*t[88])/4 + 43*t[89] - t[90] - 13*t[97] + 
       108*t[98] - 132*t[99] + 192*t[100] - 60*t[101]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*((-59*t[1])/4 - 36*t[2] + 
       (313*t[3])/4 + (267*t[4])/4 + (9*t[5])/2 - (167*t[6])/8 - 
       (535*t[7])/4 + 28*t[8] - (223*t[9])/4 - (885*t[10])/8 - 
       (1155*t[11])/8 - (797*t[12])/8 - (1699*t[13])/24 - (2205*t[14])/16 - 
       (1231*t[15])/36 - 2*t[16] + t[17]/2 - 8*t[20] + 8*t[22] - 12*t[23] + 
       19*t[24] - 2*t[25] - (37*t[26])/2 - 6*t[27] - 8*t[28] + 19*t[29] + 
       6*t[30] + (11*t[32])/2 - 7*t[33] - 21*t[34] + 4*t[35] + 4*t[37] - 
       (23*t[38])/2 + 3*t[39] - 19*t[40] - (13*t[41])/4 + (13*t[42])/4 - 
       (21*t[43])/2 - (27*t[44])/2 + (39*t[45])/2 + 3*t[46] - 7*t[47] + 
       (217*t[48])/8 + (177*t[49])/8 - (163*t[50])/8 - (271*t[51])/16 + 
       (147*t[52])/8 - (65*t[53])/8 - (191*t[54])/8 + 4*t[57] + (3*t[58])/2 + 
       3*t[59] - 121*t[60] - (529*t[61])/2 + 222*t[62] + (73*t[63])/2 - 
       (287*t[64])/4 + (463*t[65])/12 + (3391*t[66])/12 + 2*t[68] + 6*t[69] - 
       10*t[72] - 12*t[74] + (47*t[76])/2 + 5*t[77] - (53*t[78])/2 - 
       (9*t[81])/2 + (11*t[82])/2 + 19*t[83] + (105*t[84])/4 + 
       (103*t[85])/2 - 53*t[86] + (49*t[87])/2 + (49*t[88])/4 + 43*t[89] - 
       t[90] - 13*t[97] + 108*t[98] - 132*t[99] + 192*t[100] - 60*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*(-6*t[1] - 105*t[2] - 
       (459*t[3])/4 - 54*t[4] + (369*t[5])/8 - (15*t[6])/2 + (303*t[7])/2 + 
       996*t[8] + (2397*t[9])/8 - (225*t[10])/2 + (1113*t[11])/4 + 
       (715*t[12])/8 + (363*t[13])/2 + (1767*t[14])/8 - (601*t[15])/16 - 
       12*t[16] - 3*t[17] + 24*t[18] + 24*t[21] - 24*t[22] - 24*t[23] + 
       90*t[24] - 30*t[25] - 63*t[26] - 12*t[27] - 12*t[28] + 48*t[31] + 
       48*t[32] + 42*t[33] + 54*t[34] - 24*t[36] + 18*t[38] - 42*t[39] - 
       36*t[40] + 30*t[41] - 15*t[42] - (141*t[43])/4 - 54*t[44] + 
       174*t[45] + 30*t[46] - 60*t[47] + (81*t[48])/2 + (63*t[49])/2 - 
       (279*t[50])/2 + (93*t[51])/4 + (111*t[52])/2 - (51*t[53])/2 - 
       (9*t[54])/2 + 9*t[58] - 69*t[59] + 228*t[60] + (1227*t[61])/2 - 
       (3015*t[62])/4 - (2229*t[63])/4 + (573*t[64])/4 + 459*t[65] - 
       582*t[66] + 6*t[67] + 24*t[68] - 48*t[70] + 48*t[71] - 36*t[72] - 
       48*t[73] - 48*t[74] + 48*t[75] + 153*t[76] + 78*t[77] - 129*t[78] + 
       12*t[79] + 210*t[80] - 9*t[81] + 18*t[83] + (21*t[84])/2 + 117*t[85] + 
       351*t[86] - 159*t[87] - (159*t[88])/2 + 165*t[89] - 6*t[90] + 
       6*t[92] - 12*t[93] - 6*t[94] - 6*t[97] + 792*t[98] - 864*t[99] - 
       420*t[100] - 36*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - w]*(126*t[1] + (195*t[2])/2 + (309*t[3])/4 - 48*t[4] - 
       (1353*t[5])/8 + (133*t[6])/4 + (2325*t[7])/4 - (651*t[8])/4 + 
       (3777*t[9])/8 - (747*t[10])/4 + (1347*t[11])/4 + (393*t[12])/8 + 
       (7591*t[13])/24 + (2015*t[14])/8 - (1957*t[15])/16 - 3*t[16] - 
       12*t[17] + 24*t[18] - 60*t[20] + 24*t[21] + 60*t[22] - 24*t[23] - 
       12*t[24] + 6*t[25] + 48*t[27] - 12*t[28] - 36*t[31] + 30*t[32] - 
       42*t[33] + 78*t[34] - 6*t[36] + 72*t[38] + 42*t[39] - 54*t[40] - 
       27*t[41] + 39*t[42] - 81*t[43] + 42*t[44] - (369*t[45])/2 + 
       324*t[47] - (231*t[48])/2 - 15*t[49] + (21*t[50])/2 + (33*t[51])/2 - 
       (33*t[52])/2 + 21*t[53] - (57*t[54])/2 + 6*t[56] + 12*t[57] + 
       12*t[58] - 69*t[59] + 228*t[60] + (1227*t[61])/2 - (3015*t[62])/4 - 
       (2229*t[63])/4 + (573*t[64])/4 + 459*t[65] - 582*t[66] + 6*t[67] + 
       24*t[68] - 48*t[70] + 48*t[71] - 36*t[72] - 48*t[73] - 48*t[74] + 
       48*t[75] + 153*t[76] + 78*t[77] - 129*t[78] + 12*t[79] + 210*t[80] - 
       9*t[81] + 18*t[83] + (21*t[84])/2 + 117*t[85] + 351*t[86] - 
       159*t[87] - (159*t[88])/2 + 165*t[89] - 6*t[90] + 6*t[92] - 12*t[93] - 
       6*t[94] - 6*t[97] + 792*t[98] - 864*t[99] - 420*t[100] - 36*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((3*t[1])/2 - (29*t[2])/3 + (203*t[3])/8 + (515*t[4])/24 - 
       (23*t[5])/12 - (245*t[6])/8 + (599*t[7])/24 - (509*t[8])/8 + 
       (763*t[9])/24 - (1123*t[10])/16 + (703*t[11])/12 + (245*t[12])/48 + 
       (27107*t[13])/432 - (7669*t[14])/288 - (511*t[15])/48 - t[16]/3 + 
       t[17] + (14*t[18])/3 + 4*t[19] - 5*t[20] + (2*t[21])/3 + t[22] - 
       (2*t[23])/3 + t[24]/3 - (5*t[25])/3 - t[26]/3 + (5*t[27])/3 - 
       (7*t[29])/2 + 6*t[30] - 2*t[31] - (56*t[32])/3 + (35*t[34])/3 - 
       (2*t[36])/3 - (11*t[37])/3 - (23*t[39])/6 + (20*t[40])/3 - 3*t[41] + 
       (16*t[42])/3 - (157*t[43])/24 - (5*t[44])/12 - (101*t[45])/12 + 
       (8*t[46])/3 + (55*t[47])/3 - (61*t[48])/4 - (51*t[49])/16 + 
       (29*t[50])/12 + (95*t[51])/32 - (217*t[52])/12 + (73*t[53])/48 - 
       (163*t[54])/8 - (3*t[55])/2 + (5*t[58])/3 - (22*t[59])/3 - 
       (71*t[60])/3 - (82*t[61])/3 + (161*t[62])/24 - (4129*t[63])/24 + 
       (679*t[64])/6 - (133*t[65])/4 - (3173*t[66])/18 + t[67]/3 - t[68] - 
       (52*t[70])/3 + (52*t[71])/3 - 4*t[72] - 4*t[74] + 21*t[76] + t[77]/3 - 
       20*t[78] + 30*t[80] + (35*t[81])/3 - t[82]/3 - 4*t[83] - 
       (26*t[84])/3 + (137*t[85])/6 + (185*t[86])/3 + (5*t[87])/2 - 
       (147*t[88])/4 + 13*t[89] + t[92]/3 - t[94]/3 + (19*t[96])/3 - 
       10*t[97] + 120*t[98] - 88*t[99] + 9*t[100] - 28*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*(-3*t[1] - (261*t[2])/8 - 
       (499*t[3])/8 - (387*t[4])/8 + (329*t[5])/16 - (17*t[6])/8 + 
       (415*t[7])/4 + (3305*t[8])/8 + (2443*t[9])/16 + (17*t[10])/16 + 
       (1351*t[11])/8 + (167*t[12])/4 + (797*t[13])/8 + (4343*t[14])/32 - 
       (115*t[15])/96 - 4*t[16] - (5*t[17])/4 + 12*t[18] + 12*t[21] - 
       12*t[22] - 12*t[23] + 35*t[24] - 8*t[25] - (49*t[26])/2 - 6*t[27] - 
       4*t[28] + 24*t[31] + 10*t[32] + 19*t[33] + 27*t[34] - 8*t[36] + 
       9*t[38] - 19*t[39] - 4*t[40] + 15*t[41] - (15*t[42])/2 - 
       (105*t[43])/8 - 19*t[44] + 76*t[45] + (65*t[46])/4 - (49*t[47])/2 + 
       (65*t[48])/8 + (49*t[49])/16 - (447*t[50])/8 + (321*t[51])/32 + 
       (111*t[52])/8 - t[53]/16 + (87*t[54])/4 + (9*t[58])/2 - (55*t[59])/2 + 
       (563*t[60])/4 + 362*t[61] - (3281*t[62])/8 - (1969*t[63])/8 + 
       (295*t[64])/4 + (2657*t[65])/12 - (1485*t[66])/4 + (3*t[67])/2 + 
       7*t[68] - 24*t[70] + 24*t[71] - 12*t[72] - 16*t[73] - 7*t[74] + 
       16*t[75] + (113*t[76])/2 + 25*t[77] - (81*t[78])/2 + 16*t[79] + 
       89*t[80] - 4*t[81] - 4*t[82] + 4*t[83] + (59*t[84])/4 + 
       (137*t[85])/4 + (315*t[86])/2 - (257*t[87])/4 - (257*t[88])/8 + 
       (585*t[89])/8 - 3*t[90] + 2*t[92] - 4*t[93] - (3*t[94])/2 - 3*t[97] + 
       276*t[98] - 288*t[99] - 173*t[100] - 18*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*(49*t[1] + (399*t[2])/8 + 
       (65*t[3])/8 - (217*t[4])/8 - (1073*t[5])/16 - (61*t[6])/8 + 
       (2029*t[7])/8 - (287*t[8])/4 + (3563*t[9])/16 - (1687*t[10])/16 + 
       (793*t[11])/4 + (95*t[12])/4 + (7235*t[13])/48 + (4341*t[14])/32 - 
       (1773*t[15])/32 - (17*t[17])/4 + 12*t[18] - 20*t[20] + 12*t[21] + 
       25*t[22] - 12*t[23] + t[24] + 4*t[25] - t[26] + 14*t[27] - 4*t[28] - 
       18*t[31] + 11*t[32] - 16*t[33] + 39*t[34] + 22*t[38] + 16*t[39] - 
       23*t[40] - (27*t[41])/2 + (39*t[42])/2 - 44*t[43] + 13*t[44] - 
       (273*t[45])/4 - (7*t[46])/4 + 138*t[47] - (57*t[48])/2 - 
       (101*t[49])/16 + (41*t[50])/2 + (223*t[51])/32 - (37*t[52])/2 + 
       (149*t[53])/16 - (195*t[54])/8 + (5*t[56])/2 + 6*t[57] + 6*t[58] - 
       (55*t[59])/2 + (563*t[60])/4 + 362*t[61] - (3281*t[62])/8 - 
       (1969*t[63])/8 + (295*t[64])/4 + (2657*t[65])/12 - (1485*t[66])/4 + 
       (3*t[67])/2 + 7*t[68] - 24*t[70] + 24*t[71] - 12*t[72] - 16*t[73] - 
       7*t[74] + 16*t[75] + (113*t[76])/2 + 25*t[77] - (81*t[78])/2 + 
       16*t[79] + 89*t[80] - 4*t[81] - 4*t[82] + 4*t[83] + (59*t[84])/4 + 
       (137*t[85])/4 + (315*t[86])/2 - (257*t[87])/4 - (257*t[88])/8 + 
       (585*t[89])/8 - 3*t[90] + 2*t[92] - 4*t[93] - (3*t[94])/2 - 3*t[97] + 
       276*t[98] - 288*t[99] - 173*t[100] - 18*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-13*t[1])/4 - (71*t[2])/2 + (1473*t[3])/16 + (347*t[4])/4 - 
       (17*t[5])/16 - (729*t[6])/16 + (257*t[7])/8 - (347*t[8])/2 + 
       (363*t[9])/16 - (191*t[10])/8 + (1231*t[11])/16 - (361*t[12])/16 + 
       (5681*t[13])/144 - (1037*t[14])/24 - (1169*t[15])/48 + 2*t[16] - 
       t[17]/4 - 2*t[19] - 2*t[20] - t[21] + 2*t[22] + 3*t[23] - t[24] - 
       14*t[25] - 2*t[26] - 9*t[27] + 4*t[28] + (53*t[29])/4 + 10*t[30] - 
       (107*t[32])/4 - (29*t[33])/2 + (7*t[34])/2 + 10*t[36] + 3*t[37] + 
       (5*t[38])/2 - (3*t[39])/2 + (13*t[40])/4 + t[41]/4 - t[42]/4 - 
       (3*t[43])/2 + (47*t[44])/8 - 14*t[45] - (17*t[46])/4 + 22*t[47] - 
       (1181*t[48])/16 + (33*t[49])/4 + (151*t[50])/16 + (25*t[51])/4 - 
       (431*t[52])/16 - (9*t[53])/4 - (1101*t[54])/16 + t[55]/2 - t[59] + 
       (35*t[60])/4 - (319*t[61])/8 + (273*t[62])/16 - (89*t[63])/16 - 
       (341*t[64])/16 - (839*t[65])/12 - (683*t[66])/12 + t[67]/2 + 9*t[68] + 
       7*t[69] - 15*t[70] + 15*t[71] - 7*t[72] - (31*t[74])/2 + 
       (33*t[76])/2 - 3*t[77] - (23*t[78])/2 - 6*t[79] + 31*t[80] + 
       (39*t[81])/4 - (115*t[82])/4 + (11*t[83])/2 - 17*t[84] + 
       (161*t[85])/8 + 29*t[86] - (411*t[87])/8 - (1299*t[88])/16 - 
       (69*t[89])/4 + t[91]/6 - t[94]/2 + 13*t[95] + 20*t[96] - t[97]/2 + 
       228*t[98] - 216*t[99] - 49*t[100] - 18*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((15*t[1])/2 + (13*t[2])/8 - (111*t[3])/8 - (265*t[4])/8 - 
       (401*t[5])/16 + (305*t[6])/16 + (233*t[7])/4 - (183*t[8])/8 + 
       (563*t[9])/16 - (163*t[10])/8 - (441*t[11])/16 + (79*t[12])/16 - 
       (389*t[13])/8 + (6653*t[14])/96 - (3035*t[15])/288 - t[16] - 
       (11*t[17])/4 + 4*t[19] + 2*t[20] - 6*t[21] + t[22] + 6*t[23] - 
       13*t[24] - 11*t[25] + 7*t[26] - 2*t[27] - 18*t[28] - (5*t[29])/2 + 
       4*t[30] + 6*t[31] - 12*t[33] - 5*t[34] + 14*t[35] + t[36]/2 - 
       (3*t[37])/2 + 4*t[38] + 2*t[39] - 7*t[40] - (5*t[41])/2 + 
       (5*t[42])/2 + (11*t[43])/4 + (93*t[44])/4 - (63*t[45])/2 - 
       (25*t[46])/4 + (99*t[47])/2 - (175*t[48])/16 + (269*t[49])/8 - 
       (55*t[50])/16 - (343*t[51])/32 + (95*t[52])/16 + (17*t[53])/8 + 
       (57*t[54])/16 + t[56]/2 + 4*t[57] + t[58]/2 - t[59] + (35*t[60])/4 - 
       (319*t[61])/8 + (273*t[62])/16 - (89*t[63])/16 - (341*t[64])/16 - 
       (839*t[65])/12 - (683*t[66])/12 + t[67]/2 + 9*t[68] + 7*t[69] - 
       15*t[70] + 15*t[71] - 7*t[72] - (31*t[74])/2 + (33*t[76])/2 - 
       3*t[77] - (23*t[78])/2 - 6*t[79] + 31*t[80] + (39*t[81])/4 - 
       (115*t[82])/4 + (11*t[83])/2 - 17*t[84] + (161*t[85])/8 + 29*t[86] - 
       (411*t[87])/8 - (1299*t[88])/16 - (69*t[89])/4 + t[91]/6 - t[94]/2 + 
       13*t[95] + 20*t[96] - t[97]/2 + 228*t[98] - 216*t[99] - 49*t[100] - 
       18*t[101]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((-5*t[1])/12 - (125*t[2])/12 - (1321*t[3])/48 - 
       (107*t[4])/16 + (2321*t[5])/48 + (237*t[6])/32 - (3349*t[7])/48 + 
       (4771*t[8])/48 - (5975*t[9])/48 + (1489*t[10])/96 + (367*t[11])/96 - 
       (4483*t[12])/96 - (3499*t[13])/864 - (23879*t[14])/576 + 
       (4753*t[15])/864 - t[16]/6 + t[17]/3 + (2*t[18])/3 + (35*t[20])/3 - 
       (4*t[21])/3 - 7*t[22] - t[23]/3 + (20*t[24])/3 - t[25]/3 - 
       (28*t[26])/3 + (7*t[27])/3 - 7*t[28] - (95*t[29])/12 + (3*t[30])/2 - 
       (10*t[31])/3 + (29*t[32])/3 + (29*t[33])/3 - (73*t[34])/6 + 11*t[35] - 
       9*t[36] - (8*t[37])/3 + (19*t[38])/6 - (29*t[39])/2 + 11*t[40] - 
       (5*t[41])/4 + (19*t[42])/12 + (307*t[43])/48 - (37*t[44])/24 + 
       (875*t[45])/24 - (61*t[46])/6 - (165*t[47])/4 + (2687*t[48])/96 - 
       (23*t[49])/96 - (495*t[50])/32 + (2045*t[51])/192 + (413*t[52])/96 - 
       (841*t[53])/96 + (731*t[54])/96 + t[55]/6 - t[56]/2 + t[57] - t[58] - 
       (25*t[59])/12 + (218*t[60])/3 + (583*t[61])/12 - (1885*t[62])/24 - 
       (2075*t[63])/24 + (1825*t[64])/24 + (85*t[65])/12 - (521*t[66])/36 + 
       t[67]/3 + t[69] + (20*t[70])/3 - (23*t[71])/3 + (32*t[72])/3 + 
       2*t[73] + (47*t[74])/3 - 7*t[75] - (64*t[76])/3 - (61*t[77])/6 + 
       25*t[78] + (5*t[79])/2 + (37*t[80])/3 - (34*t[81])/3 + 9*t[82] + 
       (121*t[83])/6 + (101*t[84])/3 - (77*t[85])/6 + (167*t[86])/2 + 
       (215*t[87])/6 + (647*t[88])/12 + (103*t[89])/8 + t[92]/3 - t[94]/3 - 
       (40*t[95])/3 - (49*t[96])/3 + t[97]/2 - 140*t[98] + 156*t[99] - 
       130*t[100] - 16*t[101]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((-5*t[1])/2 + (481*t[2])/12 - 
       (1597*t[3])/48 - (419*t[4])/48 - (405*t[5])/8 + (4517*t[6])/96 + 
       (1733*t[7])/48 + (2965*t[8])/48 + (1835*t[9])/24 - (6077*t[10])/96 - 
       (661*t[11])/32 + (3425*t[12])/96 - (121*t[13])/864 + (461*t[14])/192 - 
       (413*t[15])/54 + t[16]/6 - t[17]/2 + 2*t[18] + (4*t[19])/3 - 6*t[20] + 
       (23*t[21])/3 - (20*t[22])/3 - (23*t[23])/3 - (2*t[24])/3 + 4*t[25] + 
       (19*t[26])/6 + (7*t[27])/3 + 9*t[28] + (65*t[29])/12 + 2*t[30] - 
       8*t[31] + (25*t[32])/2 - (83*t[33])/6 + 5*t[34] - 15*t[35] - 7*t[36] - 
       2*t[37] - t[38]/2 + (29*t[39])/2 - (53*t[40])/6 + (17*t[41])/6 - 
       (4*t[42])/3 - (47*t[43])/16 - (175*t[44])/24 - (659*t[45])/24 + 
       (23*t[46])/3 + (401*t[47])/12 + (1357*t[48])/96 - (4109*t[49])/96 + 
       (1193*t[50])/96 + (2527*t[51])/192 - (745*t[52])/96 + 
       (2621*t[53])/96 + (1083*t[54])/32 + t[55]/2 - t[56]/6 - (11*t[57])/3 + 
       (19*t[58])/6 - (61*t[59])/12 + (139*t[60])/3 - (99*t[61])/2 - 
       (49*t[62])/6 - (953*t[63])/6 + (757*t[64])/6 + (164*t[65])/9 + 
       (491*t[66])/9 + t[67]/3 + t[69] + (16*t[70])/3 - (19*t[71])/3 + 
       8*t[72] + 6*t[73] + (59*t[74])/3 - 11*t[75] - 28*t[76] - 
       (27*t[77])/2 + (83*t[78])/3 + (5*t[79])/2 + 6*t[80] - 18*t[81] + 
       (23*t[82])/3 + (35*t[83])/2 + 33*t[84] - (47*t[85])/2 + 
       (253*t[86])/3 + (137*t[87])/2 + (281*t[88])/4 + (1009*t[89])/24 + 
       t[92]/3 - t[94]/3 - (40*t[95])/3 - (49*t[96])/3 - (5*t[97])/6 - 
       180*t[98] + 192*t[99] - 58*t[100] - 16*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-25*t[1])/2 + (173*t[2])/2 - (471*t[3])/4 - (551*t[4])/4 + 
       (665*t[5])/8 + (107*t[6])/4 + 19*t[7] + (9*t[8])/2 + (929*t[9])/8 - 
       (367*t[10])/4 - 129*t[11] - (571*t[12])/8 - (97*t[13])/12 + 
       (3393*t[14])/16 + (4433*t[15])/48 - t[17] - 4*t[18] + 4*t[19] - 
       20*t[20] + 8*t[21] + 12*t[22] - 8*t[23] + 12*t[24] + 22*t[25] - 
       17*t[26] + 14*t[27] + 18*t[28] - 13*t[29] + 18*t[30] - 12*t[31] + 
       28*t[32] - 36*t[33] + 60*t[34] - 2*t[35] - 9*t[36] - 7*t[37] - 
       22*t[38] + 25*t[39] - 32*t[40] - 9*t[41] + 7*t[42] + (67*t[43])/2 + 
       (41*t[44])/2 - 57*t[45] + 16*t[46] + 47*t[47] - (7*t[48])/2 - 
       7*t[49] + 5*t[50] - (383*t[51])/16 + 25*t[52] + (3*t[53])/2 + 
       (243*t[54])/4 + 2*t[56] - 8*t[57] - 8*t[58] - t[59]/2 + 67*t[60] + 
       (417*t[61])/4 + (737*t[62])/8 + (4069*t[63])/8 - (2603*t[64])/8 + 
       9*t[65] + (424*t[66])/3 - 3*t[68] - 20*t[69] - 2*t[70] + 2*t[71] + 
       4*t[72] - 32*t[73] + 43*t[74] + 56*t[75] + 48*t[76] - 17*t[77] + 
       2*t[78] - 56*t[79] + 190*t[80] + (27*t[81])/2 + (81*t[82])/2 - 
       48*t[83] + 47*t[84] + (219*t[85])/4 - 190*t[86] - (353*t[87])/4 - 
       (441*t[88])/8 - (193*t[89])/2 - 2*t[93] + 10*t[95] - 22*t[96] - 
       7*t[97] + 336*t[98] - 380*t[99] - 320*t[100] - 12*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-51*t[1])/2 + (363*t[2])/4 + (241*t[3])/8 - (223*t[4])/2 + 
       (1235*t[5])/8 - 42*t[6] + (159*t[7])/4 - (1003*t[8])/4 + 
       (351*t[9])/8 - (159*t[10])/2 + 43*t[11] - (523*t[12])/8 + 
       (6391*t[13])/72 + (251*t[14])/4 + (557*t[15])/8 + t[17]/2 + 4*t[18] + 
       12*t[19] + 8*t[20] + 8*t[21] - 48*t[22] - 8*t[23] + 14*t[24] - 
       10*t[25] - 3*t[26] - 24*t[27] + 28*t[28] + 6*t[29] + 16*t[30] - 
       (65*t[32])/2 + 35*t[33] + 35*t[34] - 36*t[35] - 34*t[36] - 19*t[37] - 
       11*t[38] - 30*t[39] + (33*t[40])/2 - 2*t[41] + 34*t[43] + 
       (49*t[44])/4 - 39*t[45] + 7*t[46] + 27*t[47] - (159*t[48])/4 - 
       6*t[49] + (155*t[50])/4 + (61*t[51])/8 - (183*t[52])/4 - 10*t[53] + 
       29*t[54] - t[58] - t[59]/2 + 67*t[60] + (417*t[61])/4 + 
       (737*t[62])/8 + (4069*t[63])/8 - (2603*t[64])/8 + 9*t[65] + 
       (424*t[66])/3 - 3*t[68] - 20*t[69] - 2*t[70] + 2*t[71] + 4*t[72] - 
       32*t[73] + 43*t[74] + 56*t[75] + 48*t[76] - 17*t[77] + 2*t[78] - 
       56*t[79] + 190*t[80] + (27*t[81])/2 + (81*t[82])/2 - 48*t[83] + 
       47*t[84] + (219*t[85])/4 - 190*t[86] - (353*t[87])/4 - (441*t[88])/8 - 
       (193*t[89])/2 - 2*t[93] + 10*t[95] - 22*t[96] - 7*t[97] + 336*t[98] - 
       380*t[99] - 320*t[100] - 12*t[101]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((45*t[1])/4 - (11*t[2])/2 + (65*t[3])/2 - (339*t[4])/8 + 
       (139*t[5])/16 + (367*t[6])/16 - (111*t[7])/8 + (505*t[8])/8 - 
       (1345*t[9])/16 + (1527*t[10])/16 - (587*t[11])/16 + (57*t[12])/8 - 
       (539*t[13])/144 - (5947*t[14])/96 - (1835*t[15])/288 + t[16]/2 - 
       t[17]/2 - 2*t[19] + 2*t[20] - 4*t[21] + 16*t[22] + 5*t[23] - 
       11*t[24] - 3*t[25] + 14*t[26] + 9*t[27] - 6*t[28] + (3*t[29])/2 + 
       19*t[30] + 2*t[31] - (39*t[34])/2 + 6*t[35] + t[36] + 12*t[38] - 
       2*t[39] + t[40] + (5*t[41])/4 - (5*t[42])/4 - (9*t[43])/4 + 
       (33*t[44])/4 + (27*t[45])/4 + t[46] + (7*t[47])/2 - (49*t[48])/16 - 
       (249*t[49])/16 + (59*t[50])/16 + (191*t[51])/32 + (125*t[52])/16 + 
       (265*t[53])/16 + (335*t[54])/16 + t[56] + 2*t[57] + t[58] - 
       (19*t[59])/4 - 103*t[60] - (229*t[61])/2 + (119*t[62])/2 - 171*t[63] + 
       (347*t[64])/4 + (695*t[65])/6 + (1061*t[66])/12 - (3*t[68])/2 + 
       6*t[69] - 2*t[70] + 2*t[71] - 22*t[72] + 4*t[73] - 18*t[74] - 
       8*t[75] - (19*t[76])/2 + 9*t[77] - (5*t[78])/2 + 8*t[79] - 29*t[80] - 
       18*t[81] - (5*t[82])/2 + 10*t[83] - (75*t[84])/4 - (61*t[85])/4 + 
       (39*t[86])/2 + (349*t[87])/4 + (349*t[88])/8 + (785*t[89])/8 + 
       t[90]/2 - 2*t[93] - (9*t[97])/2 - 72*t[98] + 48*t[99] + 311*t[100] - 
       12*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*((11*t[1])/2 - (93*t[2])/4 + 46*t[3] + 
       (125*t[4])/8 - (103*t[5])/16 - (251*t[6])/16 - (87*t[7])/2 + 
       (71*t[8])/2 - (49*t[9])/16 - (1503*t[10])/16 - (575*t[11])/16 - 
       (11*t[12])/2 - (1013*t[13])/72 - (10739*t[14])/96 - (3997*t[15])/96 - 
       t[16] + (3*t[17])/2 + 2*t[18] - 4*t[20] + 2*t[21] + 8*t[22] - 
       2*t[23] + 9*t[24] - 5*t[25] - (19*t[26])/2 + t[27] - 2*t[28] + 
       (11*t[29])/2 + 9*t[30] + 8*t[32] - t[33] - 18*t[34] - 2*t[35] + 
       6*t[36] + 5*t[38] - t[39] - (13*t[40])/2 - t[41]/2 + (3*t[42])/2 - 
       (115*t[43])/8 - (23*t[44])/4 + 18*t[45] + 2*t[46] + (37*t[47])/2 + 
       (367*t[48])/16 - (85*t[49])/16 - (101*t[50])/16 + (307*t[51])/32 + 
       (69*t[52])/16 + (133*t[53])/16 - (377*t[54])/16 + t[56] + 2*t[57] + 
       (11*t[58])/2 - (19*t[59])/4 - 103*t[60] - (229*t[61])/2 + 
       (119*t[62])/2 - 171*t[63] + (347*t[64])/4 + (695*t[65])/6 + 
       (1061*t[66])/12 - (3*t[68])/2 + 6*t[69] - 2*t[70] + 2*t[71] - 
       22*t[72] + 4*t[73] - 18*t[74] - 8*t[75] - (19*t[76])/2 + 9*t[77] - 
       (5*t[78])/2 + 8*t[79] - 29*t[80] - 18*t[81] - (5*t[82])/2 + 10*t[83] - 
       (75*t[84])/4 - (61*t[85])/4 + (39*t[86])/2 + (349*t[87])/4 + 
       (349*t[88])/8 + (785*t[89])/8 + t[90]/2 - 2*t[93] - (9*t[97])/2 - 
       72*t[98] + 48*t[99] + 311*t[100] - 12*t[101]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*((-571*t[1])/144 + 
       (271*t[2])/144 - (4049*t[3])/288 + (369*t[4])/8 - (9677*t[5])/576 + 
       (905*t[6])/96 + (159*t[7])/16 + (1291*t[8])/144 + (6739*t[9])/576 - 
       (1525*t[10])/72 + (6257*t[11])/144 + (1121*t[12])/576 + 
       (40765*t[13])/2592 + (16081*t[14])/576 - (8173*t[15])/3456 - 
       (3*t[16])/4 + (3*t[17])/8 - (10*t[18])/9 - t[19]/2 + (5*t[20])/18 - 
       (29*t[21])/18 - (53*t[22])/18 + (29*t[23])/18 + (29*t[24])/36 + 
       t[25]/18 - (23*t[26])/18 - (11*t[27])/3 + (29*t[29])/36 + 
       (8*t[30])/3 + (16*t[31])/9 + (127*t[32])/36 - (5*t[33])/4 + 
       (103*t[34])/72 - (13*t[36])/6 - t[37] + (2*t[38])/9 + 2*t[39] - 
       (5*t[40])/36 + (53*t[41])/144 - (133*t[42])/144 - (1025*t[43])/288 - 
       (421*t[44])/72 + t[45]/72 - (26*t[46])/9 - (27*t[47])/4 + 
       (2767*t[48])/288 + (265*t[49])/48 - (59*t[50])/96 + (37*t[51])/144 - 
       (883*t[52])/288 - (361*t[53])/48 - (3683*t[54])/288 - t[55]/2 + 
       (35*t[58])/18 + (53*t[59])/48 + (11735*t[60])/144 + 
       (19085*t[61])/144 - (3637*t[62])/96 - (2027*t[63])/96 - 
       (8155*t[64])/96 - (4757*t[65])/216 - (46433*t[66])/432 + t[67]/8 - 
       (5*t[68])/8 + (7*t[69])/6 + (169*t[70])/18 - (169*t[71])/18 + 
       (47*t[72])/18 + (3*t[73])/2 + (3*t[74])/4 - (3*t[75])/2 - 
       (47*t[76])/9 + t[77]/18 + (137*t[78])/9 - (409*t[80])/36 + 
       (389*t[81])/72 - (701*t[82])/72 + (5*t[83])/18 + (2155*t[84])/144 - 
       (805*t[85])/72 - (2395*t[86])/72 - (1547*t[87])/72 + (649*t[88])/144 - 
       (1105*t[89])/144 + (3*t[90])/8 - t[92]/4 + t[94]/4 - 3*t[95] - 
       3*t[96] + (319*t[97])/72 - (97*t[98])/3 + 83*t[99] - 198*t[100] - 
       9*t[101]) + HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      (-t[1]/72 + (17*t[2])/12 - (8933*t[3])/288 - (10*t[4])/3 - 
       (2045*t[5])/576 + (2675*t[6])/72 - (2657*t[7])/96 + (7475*t[8])/96 - 
       (5975*t[9])/576 + (2987*t[10])/96 + (331*t[11])/24 + 
       (4145*t[12])/576 + (83407*t[13])/5184 + (50687*t[14])/1728 + 
       (4931*t[15])/1152 + (7*t[16])/8 - t[17]/8 - (19*t[18])/18 - 2*t[19] + 
       (23*t[20])/18 - (23*t[21])/9 + (61*t[22])/18 + (41*t[23])/9 + 
       (11*t[24])/9 + 5*t[25] - 4*t[26] - (11*t[27])/18 - (151*t[29])/36 - 
       (4*t[30])/3 + (2*t[31])/3 + (161*t[32])/18 - (29*t[33])/12 - 
       (193*t[34])/18 + (29*t[36])/12 + (25*t[38])/9 + (11*t[39])/3 - 
       (83*t[40])/24 - (85*t[41])/72 - (7*t[42])/72 + (17*t[43])/72 + 
       (193*t[44])/72 + (1241*t[45])/144 - (15*t[46])/8 - (269*t[47])/24 + 
       (745*t[48])/96 - (353*t[49])/36 - (2837*t[50])/288 + (961*t[51])/144 + 
       (5053*t[52])/288 + (163*t[53])/18 + (4585*t[54])/288 + t[55]/2 - 
       t[58]/18 - (67*t[59])/48 + (8575*t[60])/144 + (7315*t[61])/144 + 
       (1993*t[62])/96 - (7817*t[63])/96 - (4145*t[64])/96 - (344*t[65])/27 - 
       (21583*t[66])/432 + t[67]/8 - (5*t[68])/8 + (7*t[69])/6 + 
       (149*t[70])/18 - (149*t[71])/18 + (7*t[72])/18 + (29*t[73])/6 + 
       (49*t[74])/12 - (29*t[75])/6 - (97*t[76])/9 - (49*t[77])/18 + 
       (157*t[78])/9 - (599*t[80])/36 - (11*t[81])/72 - (781*t[82])/72 - 
       (35*t[83])/18 + (2075*t[84])/144 - (1445*t[85])/72 - (2345*t[86])/72 + 
       (413*t[87])/72 + (2609*t[88])/144 + (2395*t[89])/144 + (3*t[90])/8 - 
       t[92]/4 + t[94]/4 - 3*t[95] - 3*t[96] + (239*t[97])/72 - 
       (197*t[98])/3 + 113*t[99] - 138*t[100] - 9*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*(-t[1] + (107*t[2])/8 - 
       (355*t[3])/8 - (143*t[4])/8 - (55*t[5])/16 + (11*t[6])/8 + 
       (171*t[7])/2 + (847*t[8])/8 + (1367*t[9])/16 + (357*t[10])/16 + 
       (819*t[11])/8 + (29*t[12])/4 + (1147*t[13])/24 + (9613*t[14])/96 + 
       (611*t[15])/32 - t[17]/4 + 4*t[18] + 4*t[21] - 4*t[22] - 4*t[23] + 
       5*t[24] + 2*t[25] - (7*t[26])/2 - 2*t[27] + 8*t[31] + 2*t[32] - 
       3*t[33] + 9*t[34] + 3*t[38] + 3*t[39] + 4*t[41] - (3*t[42])/2 - 
       (11*t[43])/8 - t[44] + 16*t[45] + (25*t[46])/4 - (9*t[47])/2 - 
       (27*t[48])/8 - (55*t[49])/16 - (43*t[50])/8 + (9*t[51])/32 - 
       (69*t[52])/8 + (71*t[53])/16 + (45*t[54])/4 + (3*t[58])/2 - 
       (19*t[59])/2 + (417*t[60])/4 + (447*t[61])/2 - (1495*t[62])/8 - 
       (499*t[63])/8 - 14*t[64] + (231*t[65])/4 - (2897*t[66])/12 - t[67]/2 - 
       t[68] - 8*t[70] + 8*t[71] + 9*t[74] + (27*t[76])/2 + 5*t[77] + 
       (5*t[78])/2 + 12*t[79] + 19*t[80] + 5*t[81] - (29*t[82])/2 + 
       (89*t[84])/4 - (11*t[85])/4 + (81*t[86])/2 - (141*t[87])/4 - 
       (141*t[88])/8 + (97*t[89])/8 - t[90] + t[94]/2 - t[97] + 60*t[98] - 
       165*t[100] - 6*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 
       1 - w]*(14*t[1] + (139*t[2])/8 - (207*t[3])/8 + (39*t[4])/8 - 
       (329*t[5])/16 - (53*t[6])/8 + (553*t[7])/8 - (7*t[8])/4 + 
       (1379*t[9])/16 - (711*t[10])/16 + (411*t[11])/4 - (35*t[12])/4 + 
       (9781*t[13])/144 + (8143*t[14])/96 - (1615*t[15])/96 + t[16] - 
       t[17]/4 + 4*t[18] + 4*t[21] + 5*t[22] - 4*t[23] + 5*t[24] + 2*t[25] - 
       9*t[26] - 2*t[27] - 6*t[31] + t[32] - 2*t[33] + 13*t[34] + 2*t[36] + 
       6*t[38] + 2*t[39] - 5*t[40] - (9*t[41])/2 + (13*t[42])/2 - 17*t[43] - 
       t[44] - (27*t[45])/4 - (31*t[46])/4 + 30*t[47] + 6*t[48] + 
       (123*t[49])/16 + 13*t[50] - t[51]/32 - 9*t[52] - (107*t[53])/16 - 
       (39*t[54])/8 + t[56]/2 + 2*t[57] + 2*t[58] - (19*t[59])/2 + 
       (417*t[60])/4 + (447*t[61])/2 - (1495*t[62])/8 - (499*t[63])/8 - 
       14*t[64] + (231*t[65])/4 - (2897*t[66])/12 - t[67]/2 - t[68] - 
       8*t[70] + 8*t[71] + 9*t[74] + (27*t[76])/2 + 5*t[77] + (5*t[78])/2 + 
       12*t[79] + 19*t[80] + 5*t[81] - (29*t[82])/2 + (89*t[84])/4 - 
       (11*t[85])/4 + (81*t[86])/2 - (141*t[87])/4 - (141*t[88])/8 + 
       (97*t[89])/8 - t[90] + t[94]/2 - t[97] + 60*t[98] - 165*t[100] - 
       6*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-31*t[1])/4 + 12*t[2] + (5*t[3])/4 + 
       (407*t[4])/4 - (17*t[5])/2 + (311*t[6])/4 - (591*t[7])/8 - 
       (149*t[8])/8 - (657*t[9])/8 - 6*t[10] - (685*t[11])/8 - 
       (425*t[12])/8 - (8401*t[13])/144 - (497*t[14])/48 + (2411*t[15])/144 + 
       t[16] - t[17]/2 - 8*t[18] + 20*t[20] - 6*t[21] + t[22] + 4*t[23] - 
       6*t[24] + 3*t[25] - 9*t[27] - 4*t[28] + 4*t[29] - 3*t[30] + 12*t[31] + 
       14*t[32] - 5*t[33] - (29*t[34])/2 + 8*t[35] + 6*t[36] + 4*t[37] - 
       (7*t[38])/2 + 3*t[39] - 8*t[40] - (27*t[41])/4 + (11*t[42])/4 + 
       (33*t[43])/8 - 16*t[44] + (23*t[45])/4 - 6*t[46] - 34*t[47] + 
       (173*t[48])/8 + (75*t[49])/8 + (61*t[50])/8 - (49*t[51])/16 + 
       (71*t[52])/8 - (67*t[53])/8 + (89*t[54])/8 + 4*t[57] + t[59]/4 + 
       39*t[60] - (61*t[61])/2 + (2133*t[62])/8 + (991*t[63])/8 - 183*t[64] - 
       (1921*t[65])/12 + (749*t[66])/3 - t[67] - 3*t[68] + 10*t[69] + 
       12*t[70] - 12*t[71] + 2*t[72] - 10*t[73] - 4*t[74] + 26*t[75] - 
       41*t[76] + 3*t[77] + 52*t[78] - 18*t[79] - 119*t[80] - 12*t[81] - 
       18*t[82] - 35*t[83] + (65*t[84])/4 - (119*t[85])/4 - 214*t[86] - 
       (153*t[87])/4 - (161*t[88])/8 - (15*t[89])/4 + t[90] - t[92] + 
       2*t[93] + t[94] - t[97]/2 - 180*t[98] + 272*t[99] - 90*t[100] - 
       6*t[101]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-5*t[1] - 44*t[2] - 27*t[3] + (189*t[4])/4 + 
       (189*t[5])/8 + (583*t[6])/8 - (959*t[7])/8 + (423*t[8])/8 - 73*t[9] + 
       (343*t[10])/4 - (403*t[11])/4 - (209*t[12])/4 - (1955*t[13])/48 + 
       (1403*t[14])/48 + (223*t[15])/6 + t[16] + t[17]/2 - 6*t[18] - 
       4*t[19] - 8*t[21] + 10*t[22] + 8*t[23] - 6*t[24] + 11*t[25] - 
       15*t[26] - 7*t[27] + 2*t[28] + 3*t[29] + 4*t[30] + 8*t[31] + t[32] - 
       t[33] - 15*t[34] + 16*t[35] + 4*t[36] + 8*t[37] + (7*t[38])/2 + 
       5*t[39] - t[40] + t[41] - 4*t[42] + (71*t[43])/8 - (15*t[44])/2 + 
       (109*t[45])/4 + t[46] - 80*t[47] + (91*t[48])/4 + (53*t[49])/8 - 
       (117*t[50])/4 - (41*t[51])/16 + (153*t[52])/4 - (53*t[53])/8 + 
       31*t[54] - t[58] + t[59]/4 + 39*t[60] - (61*t[61])/2 + 
       (2133*t[62])/8 + (991*t[63])/8 - 183*t[64] - (1921*t[65])/12 + 
       (749*t[66])/3 - t[67] - 3*t[68] + 10*t[69] + 12*t[70] - 12*t[71] + 
       2*t[72] - 10*t[73] - 4*t[74] + 26*t[75] - 41*t[76] + 3*t[77] + 
       52*t[78] - 18*t[79] - 119*t[80] - 12*t[81] - 18*t[82] - 35*t[83] + 
       (65*t[84])/4 - (119*t[85])/4 - 214*t[86] - (153*t[87])/4 - 
       (161*t[88])/8 - (15*t[89])/4 + t[90] - t[92] + 2*t[93] + t[94] - 
       t[97]/2 - 180*t[98] + 272*t[99] - 90*t[100] - 6*t[101]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-3*t[1])/4 + (45*t[2])/4 + (25*t[3])/4 + (97*t[4])/4 - (109*t[5])/8 - 
       (7*t[6])/4 + (53*t[7])/4 - (161*t[8])/4 + (221*t[9])/8 - 
       (511*t[10])/8 - t[11] + (5*t[12])/4 + (583*t[13])/72 - 
       (425*t[14])/48 - (353*t[15])/48 + 2*t[19] + 4*t[20] + 4*t[21] - 
       12*t[22] - 4*t[23] - 4*t[27] + 2*t[29] + t[33] + (19*t[34])/2 - 
       2*t[37] + (7*t[38])/2 - t[39] + 5*t[40] + t[41]/4 + (3*t[42])/4 + 
       (7*t[43])/2 - (37*t[45])/2 + (39*t[47])/2 + (17*t[48])/4 - 
       (3*t[49])/8 + (17*t[50])/4 - t[51]/16 - (15*t[52])/4 - (101*t[53])/8 + 
       (13*t[54])/2 - (19*t[59])/4 + (5*t[60])/2 - t[61]/2 + (53*t[62])/8 + 
       (355*t[63])/8 + (121*t[64])/4 - (137*t[65])/4 + (14*t[66])/3 + 
       2*t[72] + t[76] - 10*t[77] - 3*t[78] + 32*t[80] - 2*t[81] + 9*t[82] + 
       6*t[83] - (3*t[84])/4 - (29*t[85])/4 + 24*t[86] - (51*t[87])/4 - 
       (51*t[88])/8 - (17*t[89])/2 - t[97]/2 + 12*t[98] - 12*t[99] - 
       66*t[100] - 6*t[101]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-3*t[1] + (19*t[2])/4 - (45*t[3])/4 - (93*t[4])/4 + (61*t[5])/2 - 
       (49*t[6])/8 - 2*t[7] + 39*t[8] - (71*t[9])/2 + (105*t[10])/8 - 
       (31*t[11])/8 - (151*t[12])/8 + (139*t[13])/36 + (581*t[14])/48 + 
       (395*t[15])/24 - 3*t[23] + 4*t[25] - 3*t[26] - 2*t[31] - 
       (11*t[32])/2 - t[33] + (3*t[34])/2 - 2*t[37] - (3*t[38])/2 + t[39] - 
       5*t[40] - t[41] + t[42] + (17*t[43])/2 - 4*t[44] + (13*t[45])/2 + 
       2*t[46] - (19*t[47])/2 + (13*t[48])/8 + (35*t[49])/8 - (27*t[50])/8 - 
       (67*t[51])/16 + (95*t[52])/8 - (11*t[53])/8 + (57*t[54])/8 - t[58] - 
       (19*t[59])/4 + (5*t[60])/2 - t[61]/2 + (53*t[62])/8 + (355*t[63])/8 + 
       (121*t[64])/4 - (137*t[65])/4 + (14*t[66])/3 + 2*t[72] + t[76] - 
       10*t[77] - 3*t[78] + 32*t[80] - 2*t[81] + 9*t[82] + 6*t[83] - 
       (3*t[84])/4 - (29*t[85])/4 + 24*t[86] - (51*t[87])/4 - (51*t[88])/8 - 
       (17*t[89])/2 - t[97]/2 + 12*t[98] - 12*t[99] - 66*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((7*t[1])/4 - (3*t[2])/8 + (107*t[3])/8 + (173*t[4])/4 + (109*t[5])/8 - 
       (45*t[6])/8 + (249*t[7])/16 - (469*t[8])/16 - (291*t[9])/16 - 
       (537*t[10])/16 + (273*t[11])/16 - (139*t[12])/8 + (4307*t[13])/288 - 
       (97*t[14])/6 + (563*t[15])/288 - 2*t[16] + (3*t[17])/4 + t[18] + 
       2*t[20] + 3*t[21] - 10*t[22] - 3*t[23] - t[24] - (15*t[25])/2 + 
       6*t[26] - (9*t[27])/2 + (7*t[29])/2 - t[30] - (23*t[32])/2 + 6*t[33] + 
       11*t[34] - 5*t[36] - 4*t[37] - t[38]/2 - 7*t[39] + 7*t[40] - 
       (7*t[41])/4 + (13*t[42])/4 + (33*t[43])/16 - (41*t[44])/4 - 
       (117*t[45])/8 + (7*t[46])/2 + (31*t[47])/4 + (147*t[48])/16 + 
       (49*t[49])/4 + (123*t[50])/16 - (121*t[51])/16 - (203*t[52])/16 - 
       (47*t[53])/4 - (339*t[54])/16 - 2*t[55] - 2*t[59] + (5*t[60])/2 - 
       (7*t[61])/4 - (21*t[62])/2 + 26*t[63] + (279*t[64])/8 - t[65]/2 - 
       3*t[66] + t[67]/2 + t[68] - 2*t[70] + 2*t[71] + 2*t[72] + 7*t[76] - 
       6*t[77] - 7*t[78] + 43*t[80] + 12*t[82] + 6*t[83] - t[84] - 4*t[85] + 
       (65*t[86])/2 - 8*t[87] - 4*t[88] - (11*t[89])/2 + t[92]/2 - t[94]/2 + 
       t[97] + 48*t[98] - 54*t[99] - 51*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-17*t[1])/4 + (51*t[2])/8 - (147*t[3])/8 - (123*t[4])/2 + 
       (69*t[5])/8 - 7*t[6] + (137*t[7])/16 + (443*t[8])/16 + (441*t[9])/16 - 
       (127*t[10])/16 - (305*t[11])/16 + (87*t[12])/4 - (191*t[13])/96 + 
       (333*t[14])/16 + (1927*t[15])/288 + (3*t[16])/2 - (3*t[17])/4 + 
       t[18] + 2*t[19] + 2*t[20] + 3*t[21] - 2*t[22] - 3*t[23] + 2*t[24] + 
       (17*t[25])/2 - 7*t[26] + (7*t[27])/2 - (3*t[29])/2 + t[30] - 2*t[31] + 
       (21*t[32])/2 - 7*t[33] + 4*t[36] - (5*t[38])/2 + 8*t[39] - 8*t[40] + 
       (9*t[41])/4 - (7*t[42])/4 + (97*t[43])/16 + (29*t[44])/4 - 
       (13*t[45])/8 + t[46]/2 + (43*t[47])/4 - (139*t[48])/16 - 
       (107*t[49])/8 - (147*t[50])/16 + (41*t[51])/8 + (147*t[52])/16 + 
       (103*t[53])/8 + (511*t[54])/16 + 2*t[55] - t[58] - 2*t[59] + 
       (5*t[60])/2 - (7*t[61])/4 - (21*t[62])/2 + 26*t[63] + (279*t[64])/8 - 
       t[65]/2 - 3*t[66] + t[67]/2 + t[68] - 2*t[70] + 2*t[71] + 2*t[72] + 
       7*t[76] - 6*t[77] - 7*t[78] + 43*t[80] + 12*t[82] + 6*t[83] - t[84] - 
       4*t[85] + (65*t[86])/2 - 8*t[87] - 4*t[88] - (11*t[89])/2 + t[92]/2 - 
       t[94]/2 + t[97] + 48*t[98] - 54*t[99] - 51*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-19*t[1])/2 + (53*t[2])/4 + (81*t[3])/4 - (87*t[4])/4 - 
       (299*t[5])/8 - 38*t[6] - (93*t[7])/2 - 83*t[8] - (297*t[9])/8 - 
       (37*t[10])/8 - (177*t[11])/2 + (81*t[12])/2 - (1223*t[13])/18 - 
       (3505*t[14])/48 - (103*t[15])/48 + t[16] + t[17]/2 - 4*t[18] - 
       4*t[21] + 4*t[23] - 4*t[24] - 5*t[25] + 9*t[26] + 7*t[27] + 2*t[28] - 
       6*t[29] + 2*t[30] + 8*t[31] - 15*t[34] + 6*t[35] + 4*t[36] - t[38] + 
       4*t[39] + 2*t[40] + (3*t[41])/2 - (7*t[42])/2 + (5*t[43])/4 + 
       4*t[44] + (17*t[46])/2 - (23*t[47])/2 - (33*t[48])/2 - (363*t[49])/8 + 
       (27*t[50])/2 + (287*t[51])/16 - (21*t[52])/2 + (339*t[53])/8 + 
       (83*t[54])/4 - 2*t[58] + t[59]/2 - (295*t[60])/2 - (495*t[61])/2 + 
       127*t[62] - 69*t[63] + (27*t[64])/4 - (179*t[65])/6 + 232*t[66] - 
       t[67] - 3*t[68] - 4*t[69] + 8*t[70] - 8*t[71] + 26*t[72] + 2*t[73] + 
       8*t[74] - 20*t[75] - 9*t[76] - 16*t[77] - 23*t[78] - 12*t[79] - 
       84*t[80] - 27*t[81] + 15*t[82] + 30*t[83] - (13*t[84])/2 - 
       (79*t[85])/2 + 28*t[86] + (135*t[87])/2 + (131*t[88])/4 - 
       (87*t[89])/4 + t[90] - t[92] + 2*t[93] + t[94] + t[97] - 60*t[98] + 
       20*t[99] + 66*t[100] - 6*t[101]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((51*t[2])/4 + (107*t[3])/2 - (3*t[4])/4 + (589*t[5])/8 + (31*t[6])/4 - 
       (171*t[7])/2 + 12*t[8] - (1325*t[9])/8 + (317*t[10])/8 - 104*t[11] - 
       (365*t[12])/4 - (893*t[13])/24 - (1555*t[14])/16 + (1355*t[15])/48 + 
       t[16] + t[17]/2 - 4*t[18] - 4*t[20] - 4*t[21] + 14*t[22] + 10*t[23] - 
       6*t[24] + t[25] - 2*t[26] - 5*t[27] - 4*t[28] + 15*t[29] - 3*t[30] - 
       18*t[31] + 3*t[32] - 4*t[33] - 25*t[34] + 2*t[35] + 2*t[36] - 
       2*t[37] + t[38] + 2*t[39] + 7*t[40] - 6*t[41] + 4*t[42] - 
       (13*t[43])/4 - (13*t[44])/2 + 8*t[45] - (3*t[46])/2 - (81*t[47])/2 + 
       24*t[48] + (163*t[49])/8 + 10*t[50] - (157*t[51])/16 - 16*t[52] - 
       (163*t[53])/8 - (85*t[54])/4 + 4*t[57] - t[58] + t[59]/2 - 
       (295*t[60])/2 - (495*t[61])/2 + 127*t[62] - 69*t[63] + (27*t[64])/4 - 
       (179*t[65])/6 + 232*t[66] - t[67] - 3*t[68] - 4*t[69] + 8*t[70] - 
       8*t[71] + 26*t[72] + 2*t[73] + 8*t[74] - 20*t[75] - 9*t[76] - 
       16*t[77] - 23*t[78] - 12*t[79] - 84*t[80] - 27*t[81] + 15*t[82] + 
       30*t[83] - (13*t[84])/2 - (79*t[85])/2 + 28*t[86] + (135*t[87])/2 + 
       (131*t[88])/4 - (87*t[89])/4 + t[90] - t[92] + 2*t[93] + t[94] + 
       t[97] - 60*t[98] + 20*t[99] + 66*t[100] - 6*t[101]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-88*t[1])/9 + 7*t[2] + (3173*t[3])/72 - (397*t[4])/24 + 
       (2287*t[5])/72 + (611*t[6])/36 - (332*t[7])/3 - (1309*t[8])/24 - 
       (1111*t[9])/9 + (3421*t[10])/48 - (3317*t[11])/24 - (6413*t[12])/144 - 
       (79135*t[13])/1296 - (75397*t[14])/864 + (16*t[15])/3 + t[16]/2 - 
       t[17]/4 - (82*t[18])/9 + (17*t[20])/9 - (82*t[21])/9 + (85*t[22])/9 + 
       (82*t[23])/9 - (89*t[24])/9 - (13*t[25])/6 + (16*t[26])/3 + 
       (11*t[27])/18 + (59*t[29])/18 - (7*t[30])/6 + t[31] + (103*t[32])/18 - 
       (25*t[33])/3 - (157*t[34])/9 + (16*t[36])/3 + 6*t[37] - 
       (53*t[38])/18 + (23*t[39])/6 - (15*t[40])/2 - (10*t[41])/9 - 
       (31*t[42])/9 + (521*t[43])/36 + (85*t[44])/36 + (461*t[45])/72 - 
       (19*t[46])/12 - (341*t[47])/12 - (34*t[48])/3 + (1259*t[49])/144 - 
       (91*t[50])/18 - (1415*t[51])/288 + (419*t[52])/18 + (181*t[53])/144 - 
       (319*t[54])/72 + t[55] - (59*t[58])/18 + (49*t[59])/12 - 
       (3497*t[60])/18 - (2590*t[61])/9 + (10813*t[62])/48 + 
       (3343*t[63])/48 + (163*t[64])/48 - (7325*t[65])/54 + 
       (13835*t[66])/54 - (3*t[67])/2 - t[68]/2 - (14*t[69])/3 + 
       (104*t[70])/9 - (104*t[71])/9 - (110*t[72])/9 + (13*t[73])/6 + 
       (31*t[74])/6 - (13*t[75])/6 - t[76]/18 + (14*t[77])/9 - 
       (262*t[78])/9 - (1301*t[80])/18 - (145*t[81])/18 - (215*t[82])/18 - 
       (62*t[83])/9 - (1127*t[84])/36 + (517*t[85])/36 - (2471*t[86])/36 + 
       (2537*t[87])/36 + (665*t[88])/72 - (607*t[89])/36 + t[90]/2 - 
       t[92]/2 + t[94]/2 + 6*t[95] + 6*t[96] - (83*t[97])/18 + 
       (110*t[98])/3 - 110*t[99] + 204*t[100] - 6*t[101]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-133*t[1])/18 - (149*t[2])/72 + (12349*t[3])/144 + (175*t[4])/8 + 
       (6379*t[5])/288 - 11*t[6] - (965*t[7])/8 - (5879*t[8])/72 - 
       (37325*t[9])/288 + (2785*t[10])/72 - (10387*t[11])/72 - 
       (21451*t[12])/288 - (199483*t[13])/2592 - (41839*t[14])/288 - 
       (13573*t[15])/1728 - t[16]/2 + t[17]/4 - (68*t[18])/9 + t[19] + 
       (41*t[20])/9 - (95*t[21])/9 + (46*t[22])/9 + (95*t[23])/9 - 
       (98*t[24])/9 - (37*t[25])/18 + (52*t[26])/9 - t[27]/6 + (46*t[29])/9 - 
       (2*t[30])/3 + (2*t[31])/9 - (112*t[32])/9 + t[33] - (499*t[34])/18 + 
       (19*t[36])/6 + 4*t[37] - (26*t[38])/9 - (13*t[39])/2 + (89*t[40])/9 - 
       (139*t[41])/18 + (53*t[42])/18 + (1645*t[43])/144 + (257*t[44])/36 + 
       (461*t[45])/72 - (103*t[46])/36 - (111*t[47])/4 + (61*t[48])/144 + 
       (21*t[49])/4 - (3*t[50])/16 - (31*t[51])/36 + (659*t[52])/144 + 
       (25*t[53])/4 - (4853*t[54])/144 - t[55] - (10*t[58])/9 + 
       (19*t[59])/12 - (1946*t[60])/9 - (26605*t[61])/72 + (3407*t[62])/12 + 
       (28*t[63])/3 + (271*t[64])/6 - (27295*t[65])/216 + (67765*t[66])/216 - 
       (3*t[67])/2 - t[68]/2 - (14*t[69])/3 + (94*t[70])/9 - (94*t[71])/9 - 
       (130*t[72])/9 + (11*t[73])/2 + (17*t[74])/2 - (11*t[75])/2 - 
       (101*t[76])/18 - (11*t[77])/9 - (242*t[78])/9 - (698*t[80])/9 - 
       (245*t[81])/18 - (235*t[82])/18 - (82*t[83])/9 - (1147*t[84])/36 + 
       (197*t[85])/36 - (1223*t[86])/18 + (3517*t[87])/36 + (1645*t[88])/72 + 
       (67*t[89])/9 + t[90]/2 - t[92]/2 + t[94]/2 + 6*t[95] + 6*t[96] - 
       (103*t[97])/18 + (10*t[98])/3 - 80*t[99] + 264*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((7*t[1])/2 + (49*t[2])/12 + (161*t[3])/8 - (283*t[4])/12 + 
       (25*t[5])/8 - (773*t[6])/16 + (2309*t[7])/24 - (2167*t[8])/24 + 
       (1003*t[9])/24 - (545*t[10])/8 + (4165*t[11])/48 - (43*t[12])/24 + 
       (6559*t[13])/432 + (133*t[14])/24 + (4915*t[15])/216 - (4*t[16])/3 + 
       (2*t[17])/3 - (2*t[18])/3 - 2*t[19] - (2*t[20])/3 - (5*t[21])/3 - 
       (16*t[22])/3 + (5*t[23])/3 - 6*t[24] - t[25] - (32*t[26])/3 - 
       3*t[27] - 8*t[28] - (19*t[29])/6 - (4*t[30])/3 - 14*t[31] + 
       (7*t[32])/6 - (7*t[33])/3 + 34*t[34] + 8*t[35] - (8*t[36])/3 - 
       4*t[37] - (34*t[38])/3 - 10*t[39] - (21*t[40])/2 - 4*t[41] + 
       (11*t[42])/3 + (119*t[43])/24 - (41*t[44])/12 - (79*t[45])/4 - 
       (22*t[46])/3 + (179*t[47])/6 - (505*t[48])/16 + (35*t[49])/4 + 
       (2353*t[50])/48 - (41*t[51])/48 - (603*t[52])/16 - (253*t[53])/12 - 
       (2957*t[54])/48 - t[55]/3 - 4*t[58] + 4*t[59] - (381*t[60])/8 + 
       (929*t[61])/24 - (2671*t[62])/48 + (10715*t[63])/48 - (681*t[64])/16 + 
       (8611*t[65])/72 + (2665*t[66])/72 - (2*t[67])/3 + (8*t[68])/3 - 
       15*t[69] - (28*t[70])/3 + (28*t[71])/3 + (29*t[72])/3 - 18*t[73] - 
       (53*t[74])/3 + 14*t[75] + (10*t[76])/3 - (13*t[77])/3 + 5*t[78] + 
       (260*t[80])/3 + (64*t[81])/3 + 35*t[82] + (121*t[83])/6 + 
       (355*t[84])/24 + (1487*t[85])/24 + (194*t[86])/3 - (1067*t[87])/24 - 
       (955*t[88])/48 - (1249*t[89])/16 + t[91]/6 - 2*t[93] + (2*t[94])/3 - 
       (14*t[95])/3 - (34*t[96])/3 - (13*t[97])/3 + 104*t[98] - 140*t[99] - 
       70*t[100] - 4*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*(13*t[1] + (7*t[2])/4 + (31*t[3])/4 - 
       (2281*t[4])/24 + (803*t[5])/48 + (163*t[6])/24 - (611*t[7])/6 + 
       (761*t[8])/12 - (1375*t[9])/16 - (1675*t[10])/16 - (2087*t[11])/12 - 
       (619*t[12])/12 - (19135*t[13])/216 - (16003*t[14])/288 + 
       (8063*t[15])/288 - (5*t[17])/3 + (8*t[18])/3 + (10*t[19])/3 - 
       (68*t[20])/3 + (20*t[21])/3 + 26*t[22] - (20*t[23])/3 - (34*t[24])/3 - 
       2*t[25] + (13*t[26])/3 + (14*t[27])/3 - 4*t[28] + (61*t[29])/6 + 
       4*t[30] - (32*t[31])/3 - 3*t[32] - (19*t[33])/3 + (5*t[34])/3 + 
       (23*t[36])/3 + t[37]/3 + (2*t[38])/3 - 5*t[39] + (73*t[40])/6 - 
       (29*t[41])/6 + (37*t[42])/6 + (83*t[43])/8 - (193*t[44])/12 - 
       25*t[45] + (58*t[46])/3 + (49*t[47])/3 + (343*t[48])/24 - 
       (633*t[49])/16 - (317*t[50])/24 + (317*t[51])/96 + (509*t[52])/24 + 
       (497*t[53])/16 + (685*t[54])/12 - t[55]/3 + (5*t[56])/3 + 
       (2*t[57])/3 + (2*t[58])/3 - 11*t[59] - (4303*t[60])/24 - 
       (10841*t[61])/24 + (14219*t[62])/48 - (6655*t[63])/48 + 
       (3329*t[64])/16 + (4207*t[65])/24 + (27515*t[66])/72 - (2*t[67])/3 + 
       (8*t[68])/3 - 15*t[69] - 16*t[70] + 16*t[71] - (11*t[72])/3 + 
       2*t[73] + (7*t[74])/3 - 6*t[75] - 30*t[76] - 21*t[77] + (55*t[78])/3 + 
       55*t[80] - 12*t[81] + (85*t[82])/3 + (41*t[83])/6 + (275*t[84])/24 + 
       (69*t[85])/8 + (413*t[86])/6 + (951*t[87])/8 + (2965*t[88])/48 + 
       (3253*t[89])/48 + t[91]/6 - 2*t[93] + (2*t[94])/3 - (14*t[95])/3 - 
       (34*t[96])/3 - 11*t[97] - 96*t[98] + 40*t[99] + 290*t[100] - 
       4*t[101]) + 6*D31[u, v, w]*t[101] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - v]*((43*t[1])/8 + 5*t[2] - (209*t[3])/16 + 
       (145*t[4])/8 - (615*t[5])/16 - (1121*t[6])/32 + (1719*t[7])/16 - 
       (397*t[8])/16 + (1541*t[9])/16 - (507*t[10])/8 + (2115*t[11])/32 + 
       (57*t[12])/4 + (4103*t[13])/288 + (691*t[14])/16 - (1645*t[15])/72 - 
       t[17]/8 + 4*t[18] + 2*t[19] - 2*t[20] + 2*t[21] - 10*t[22] - 3*t[23] + 
       (9*t[24])/2 + t[25] - (3*t[26])/2 - 2*t[27] - 8*t[28] - (5*t[29])/4 - 
       t[30]/4 - 6*t[31] - (13*t[32])/8 - 2*t[33] + (49*t[34])/4 + 8*t[35] - 
       2*t[36] - t[38]/4 - (3*t[39])/2 + 2*t[40] + (27*t[41])/8 - 
       (15*t[42])/8 - (47*t[43])/16 + (31*t[44])/4 - (179*t[45])/8 - 
       (9*t[46])/4 + (199*t[47])/4 - (137*t[48])/32 + (327*t[49])/16 + 
       (115*t[50])/32 - (233*t[51])/32 - (411*t[52])/32 - (271*t[53])/16 - 
       (419*t[54])/32 + t[58] - (19*t[59])/8 + (499*t[60])/16 + 
       (1857*t[61])/16 - (5559*t[62])/32 - (847*t[63])/32 + (2591*t[64])/32 + 
       (911*t[65])/48 - (7549*t[66])/48 + t[68]/4 - t[69] - 6*t[70] + 
       6*t[71] + 2*t[72] - 3*t[73] - 3*t[74] - 3*t[75] + (93*t[76])/4 - 
       (15*t[77])/2 - (107*t[78])/4 + 8*t[79] + 57*t[80] + (39*t[81])/4 + 
       3*t[82] + (59*t[83])/2 - (109*t[84])/16 + (63*t[85])/16 + 144*t[86] - 
       (589*t[87])/16 - (533*t[88])/32 - (19*t[89])/32 - 2*t[95] + 6*t[96] + 
       (19*t[97])/4 + 120*t[98] - 90*t[99] - 115*t[100] + 3*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      ((31*t[1])/4 - (107*t[2])/24 - (443*t[3])/24 - (1237*t[4])/48 + 
       (583*t[5])/24 - (71*t[6])/8 + (1135*t[7])/16 + (2747*t[8])/48 + 
       (441*t[9])/16 + (1367*t[10])/96 + (3397*t[11])/48 - t[12]/32 + 
       (33493*t[13])/864 + (11141*t[14])/192 + (283*t[15])/18 + (8*t[18])/3 + 
       3*t[21] - (11*t[23])/3 + (7*t[24])/3 + t[25] - 2*t[26] - t[27]/2 - 
       6*t[28] + t[29] + 2*t[30] - (5*t[31])/3 + 2*t[32] - (3*t[33])/2 + 
       6*t[34] + 2*t[35] + 3*t[36] - (3*t[37])/4 + (9*t[38])/4 + t[39]/2 - 
       (9*t[40])/4 + (5*t[41])/12 + (7*t[42])/12 + (51*t[43])/16 - 13*t[44] - 
       (11*t[45])/24 - t[46]/4 + (79*t[47])/6 - (691*t[48])/48 - 
       (29*t[49])/96 + (61*t[50])/48 - (355*t[51])/192 - (325*t[52])/48 + 
       (209*t[53])/96 - (41*t[54])/8 - t[58] - (5*t[59])/24 + 
       (1493*t[60])/48 + (5243*t[61])/48 - (17389*t[62])/96 - 
       (935*t[63])/32 + (7493*t[64])/96 + (3365*t[65])/144 - 
       (20927*t[66])/144 + t[68]/4 - t[69] - 6*t[70] + 6*t[71] + 2*t[72] - 
       3*t[73] - 4*t[74] - 3*t[75] + (93*t[76])/4 - (15*t[77])/2 - 
       (107*t[78])/4 + 8*t[79] + 57*t[80] + (37*t[81])/4 + (7*t[82])/2 + 
       (185*t[83])/6 - (109*t[84])/16 + (35*t[85])/16 + (905*t[86])/6 - 
       (1747*t[87])/48 - (1579*t[88])/96 - (63*t[89])/32 - 2*t[95] + 
       6*t[96] + (19*t[97])/4 + 120*t[98] - 90*t[99] - 111*t[100] + 
       3*t[101]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-73*t[1])/6 - (1073*t[2])/72 + (173*t[3])/144 + (2123*t[4])/144 + 
       (13567*t[5])/288 + (749*t[6])/24 - (1909*t[7])/16 + (1235*t[8])/144 - 
       (12433*t[9])/96 + (16289*t[10])/288 - (2393*t[11])/36 - 
       (116*t[12])/3 - (3287*t[13])/162 - (13969*t[14])/576 + 
       (41737*t[15])/1728 + t[16] + t[17]/8 - (79*t[18])/12 - t[19]/2 + 
       (13*t[20])/6 - (55*t[21])/6 + (25*t[22])/3 + (173*t[23])/18 - 
       (56*t[24])/9 + (103*t[25])/12 - (14*t[26])/3 - (13*t[27])/4 + t[28] + 
       (7*t[29])/3 - 2*t[30] + (65*t[31])/18 + (8*t[32])/3 + 3*t[33] - 
       (59*t[34])/3 + 8*t[35] + 4*t[36] + 3*t[37] - (41*t[38])/12 - 
       (3*t[39])/2 + (29*t[40])/12 - (7*t[41])/36 - (199*t[42])/72 + 
       (469*t[43])/48 - (7*t[44])/3 + (137*t[45])/9 - (101*t[46])/24 - 
       (319*t[47])/9 + (907*t[48])/72 + (1525*t[49])/288 - (1363*t[50])/72 - 
       (1447*t[51])/576 + (1735*t[52])/72 - (1957*t[53])/288 + 
       (455*t[54])/48 - (31*t[58])/12 + (215*t[59])/36 - (485*t[60])/18 - 
       (478*t[61])/9 + (5707*t[62])/36 + (185*t[63])/2 - (5771*t[64])/144 - 
       (3238*t[65])/27 + (7841*t[66])/54 - t[67]/4 - (3*t[68])/2 + 3*t[69] + 
       (40*t[70])/3 - (40*t[71])/3 - (4*t[72])/3 + (19*t[74])/4 + 4*t[75] - 
       (143*t[76])/6 - (2*t[77])/3 + (157*t[78])/12 - (13*t[79])/4 - 
       (193*t[80])/3 - (113*t[81])/12 - (199*t[82])/12 - (421*t[83])/18 + 
       (27*t[84])/4 - (40*t[85])/3 - (1034*t[86])/9 + (49*t[87])/18 + 
       (29*t[88])/18 - (751*t[89])/24 - t[92]/4 + t[93] + t[94]/4 - 
       (17*t[97])/12 - 122*t[98] + 136*t[99] - (247*t[100])/6 + 6*t[101]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-137*t[1])/36 + (227*t[2])/16 + (2009*t[3])/144 + (3553*t[4])/144 - 
       (439*t[5])/32 + (1271*t[6])/36 - (1885*t[7])/48 - (5215*t[8])/144 - 
       (4225*t[9])/288 + (179*t[10])/96 - (10351*t[11])/144 - (67*t[12])/4 - 
       (136057*t[13])/2592 - (36065*t[14])/1728 + (43*t[15])/576 + t[16]/4 + 
       (3*t[17])/8 - (20*t[18])/3 - t[19]/2 + (7*t[20])/3 - (20*t[21])/3 - 
       (17*t[22])/6 + (20*t[23])/3 - (47*t[24])/6 + t[25]/4 - (79*t[27])/12 + 
       (13*t[29])/6 - 4*t[30] - 2*t[31] - t[32]/6 - t[33]/2 - 
       (155*t[34])/12 - 4*t[35] + (9*t[36])/2 + t[37] - (17*t[38])/12 - 
       t[40] - (97*t[41])/24 + (11*t[42])/24 + (157*t[43])/144 - 
       (4*t[44])/3 + (67*t[45])/24 + t[46]/3 - 27*t[47] + (485*t[48])/48 - 
       (1015*t[49])/288 + (1399*t[50])/144 - (1253*t[51])/576 + 
       (629*t[52])/144 + (871*t[53])/288 + (118*t[54])/9 - (3*t[56])/4 - 
       t[57] - (11*t[58])/12 + (70*t[59])/9 - (1945*t[60])/72 - 
       (2117*t[61])/36 + (10969*t[62])/72 + (2165*t[63])/24 - 
       (6121*t[64])/144 - (12557*t[65])/108 + (16757*t[66])/108 - t[67]/4 - 
       (3*t[68])/2 + 3*t[69] + (40*t[70])/3 - (40*t[71])/3 - (4*t[72])/3 + 
       (47*t[74])/12 + 4*t[75] - (143*t[76])/6 - (2*t[77])/3 + 
       (157*t[78])/12 - (13*t[79])/4 - (193*t[80])/3 - (59*t[81])/6 - 
       (97*t[82])/6 - (401*t[83])/18 + (27*t[84])/4 - (355*t[85])/24 - 
       (3931*t[86])/36 + (221*t[87])/72 + (257*t[88])/144 - (519*t[89])/16 - 
       t[92]/4 + t[93] + t[94]/4 - (17*t[97])/12 - 122*t[98] + 136*t[99] - 
       (227*t[100])/6 + 6*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-5*t[1])/2 + (3*t[2])/4 - (277*t[3])/4 - 
       (75*t[4])/8 + (287*t[5])/16 + (31*t[6])/16 + (525*t[7])/8 + 
       (631*t[8])/8 + (1335*t[9])/16 + (467*t[10])/16 + (1417*t[11])/16 - 
       (187*t[12])/8 + (1999*t[13])/144 + (4999*t[14])/32 + 
       (12601*t[15])/288 - (3*t[16])/2 + t[17] - 2*t[18] - 2*t[21] - 
       6*t[22] + 2*t[23] + 6*t[24] + 7*t[25] - 15*t[26] - 3*t[27] - 2*t[28] + 
       (13*t[29])/2 - 9*t[30] - 10*t[31] + 5*t[32] - 8*t[33] + 31*t[34] - 
       6*t[35] - 7*t[36] - 14*t[38] + 6*t[39] - 14*t[40] - t[41] + 6*t[43] - 
       (57*t[44])/4 + (77*t[45])/4 - (9*t[46])/2 - (83*t[47])/2 + 
       (143*t[48])/16 + (663*t[49])/16 - (93*t[50])/16 - (809*t[51])/32 + 
       (365*t[52])/16 - (663*t[53])/16 - (241*t[54])/16 - 2*t[57] - 4*t[58] + 
       7*t[59] + (557*t[60])/4 + 275*t[61] - (445*t[62])/2 + (625*t[63])/2 - 
       (263*t[64])/2 - (1375*t[65])/12 - (875*t[66])/4 - t[68] - 10*t[69] - 
       4*t[70] + 4*t[71] - 4*t[72] - 12*t[73] + 12*t[74] + 16*t[75] + 
       (37*t[76])/2 - t[78]/2 + 8*t[79] + 67*t[80] + (57*t[81])/2 + 
       (23*t[82])/2 - t[83] - 5*t[84] + (165*t[85])/4 - (13*t[86])/2 - 
       (493*t[87])/4 - (493*t[88])/8 - (959*t[89])/8 - 2*t[93] + 6*t[97] + 
       96*t[98] - 72*t[99] - 280*t[100] + 12*t[101]) + 
     D34[u, v, w]*(t[4]/2 - 2*t[5] - t[6]/4 - t[7] - t[9] + 3*t[10] + 
       t[11]/2 + (3*t[12])/2 - (137*t[13])/72 - t[14] - t[15]/3 - 2*t[32] + 
       2*t[33] - 2*t[39] + 2*t[40] + t[45] - t[47] + t[52]/2 - t[53] + 
       2*t[61] - 2*t[62] + 4*t[63] + 2*t[64] - (5*t[65])/3 + (5*t[66])/3 - 
       4*t[76] - t[77] + 4*t[78] - 8*t[80] - 2*t[84] - 2*t[89] - 24*t[98] + 
       24*t[99] + 12*t[100] + 12*t[101]) + D32[u, v, w]*
      ((3*t[1])/2 - t[2]/2 - 2*t[3] + (7*t[4])/2 - (9*t[5])/2 + t[6]/2 + 
       3*t[7] + 7*t[8] + (9*t[9])/2 + (27*t[10])/4 + (11*t[11])/2 + 
       (11*t[12])/4 + (47*t[13])/36 + (77*t[14])/24 - (3*t[15])/2 + 2*t[33] - 
       t[34] + t[38] - 2*t[39] + t[41]/2 - t[42]/2 - 2*t[43] + t[45] - 
       t[47] + t[48]/2 + t[49]/4 + t[50]/2 + (3*t[51])/8 + (3*t[52])/2 - 
       (9*t[53])/4 - t[54] + 10*t[60] + 15*t[61] - (29*t[62])/2 - 
       (19*t[63])/2 - 4*t[64] + (17*t[65])/3 - 8*t[66] - 4*t[76] + 4*t[78] - 
       8*t[80] - 2*t[84] - 2*t[85] - 2*t[87] - t[88] + 4*t[89] - 24*t[98] + 
       24*t[99] + 12*t[100] + 12*t[101]) + D33[u, v, w]*
      ((-3*t[1])/2 + 3*t[2] + 3*t[3] + (15*t[4])/4 + (9*t[5])/4 + 3*t[6] - 
       (145*t[7])/8 - (67*t[8])/8 - (159*t[9])/8 + (41*t[10])/4 - 
       (121*t[11])/8 - (59*t[12])/8 - (1579*t[13])/144 - (541*t[14])/48 + 
       (65*t[15])/48 - 2*t[18] - 2*t[21] + 2*t[23] - 2*t[24] - 2*t[32] + 
       2*t[33] - 2*t[34] - 2*t[39] + 2*t[40] - t[41]/2 - t[42]/2 + 
       (31*t[43])/8 + (13*t[45])/4 + t[46]/2 - (19*t[47])/2 + (15*t[48])/8 - 
       (5*t[49])/8 - t[50]/8 - (5*t[51])/16 + (17*t[52])/8 - (3*t[53])/8 + 
       (3*t[54])/8 + t[59] - (29*t[60])/2 - 24*t[61] + 35*t[62] + 18*t[63] - 
       (23*t[64])/2 - (57*t[65])/2 + (67*t[66])/2 + 4*t[70] - 4*t[71] + 
       2*t[74] - 8*t[76] - 2*t[77] + 6*t[78] - 16*t[80] - 3*t[81] + t[82] - 
       3*t[84] - (11*t[85])/2 - 17*t[86] + (19*t[87])/2 + (19*t[88])/4 - 
       (37*t[89])/4 - 48*t[98] + 48*t[99] + 12*t[100] + 12*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((83*t[1])/6 + (37*t[2])/6 + (137*t[3])/24 + (39*t[4])/8 + 
       (115*t[5])/24 - (727*t[6])/16 - (335*t[7])/8 - (2981*t[8])/24 - 
       (1433*t[9])/24 - (1501*t[10])/48 + (739*t[11])/48 - (1121*t[12])/48 - 
       (17165*t[13])/432 - (2731*t[14])/96 + (2741*t[15])/144 + t[16] - 
       t[17]/2 - (2*t[18])/3 - 2*t[19] - (4*t[20])/3 + (4*t[21])/3 - 
       (2*t[22])/3 - (22*t[23])/3 - (59*t[24])/3 + (7*t[25])/3 + 
       (89*t[26])/6 + 9*t[27] + 2*t[28] - (49*t[29])/6 - 5*t[30] - 
       (4*t[31])/3 - (25*t[32])/3 - 6*t[33] - (23*t[34])/3 + 2*t[35] + 
       (4*t[38])/3 + 12*t[39] + (14*t[40])/3 - (43*t[41])/6 + (25*t[42])/3 + 
       (389*t[43])/24 + (161*t[44])/12 - (89*t[45])/12 + (44*t[46])/3 - 
       (9*t[47])/2 - (581*t[48])/48 - (555*t[49])/16 - (67*t[50])/16 + 
       (463*t[51])/96 + (761*t[52])/48 + (523*t[53])/16 - (269*t[54])/48 + 
       t[56] - 2*t[57] + t[58]/6 - 8*t[59] + (91*t[60])/12 - 
       (2585*t[61])/12 + (1035*t[62])/8 - (395*t[63])/8 + (953*t[64])/8 - 
       (530*t[65])/9 + (2275*t[66])/18 - t[68] - 10*t[69] - (32*t[70])/3 + 
       (32*t[71])/3 - (52*t[72])/3 + 8*t[73] + 32*t[74] - 4*t[75] - 
       (89*t[76])/6 - (50*t[77])/3 + (77*t[78])/6 + 8*t[79] + (106*t[80])/3 - 
       (29*t[81])/6 + (29*t[82])/6 - (43*t[83])/3 - (25*t[84])/3 - 
       (145*t[85])/12 - (7*t[86])/3 + (481*t[87])/12 + (481*t[88])/24 + 
       (623*t[89])/24 - 2*t[93] - (2*t[97])/3 - 104*t[98] + 108*t[99] + 
       80*t[100] + 12*t[101]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - v]*((85*t[1])/4 - (39*t[2])/2 - (849*t[3])/8 - (707*t[4])/8 + 
       (111*t[5])/4 - (41*t[6])/2 + (1607*t[7])/16 + (2815*t[8])/16 + 
       (1317*t[9])/16 + (195*t[10])/8 + (4201*t[11])/16 + (1765*t[12])/16 + 
       (13775*t[13])/96 + (6965*t[14])/32 + (7577*t[15])/288 + t[16] - 
       t[17]/4 + (33*t[18])/2 - 4*t[19] - 4*t[20] + 20*t[21] - 2*t[22] - 
       29*t[23] + 17*t[24] + 6*t[25] - (69*t[26])/4 + 7*t[27] - 5*t[29] + 
       9*t[30] - 4*t[31] + (33*t[32])/2 + 3*t[33] + 23*t[34] - 6*t[36] - 
       4*t[37] + 12*t[38] + t[39] - 16*t[40] + (37*t[41])/2 - (33*t[42])/4 - 
       (219*t[43])/16 - (19*t[44])/2 + (99*t[45])/8 + (5*t[46])/2 + 
       (65*t[47])/4 - (113*t[48])/16 + (5*t[49])/16 - (353*t[50])/16 - 
       (17*t[51])/32 + (665*t[52])/16 - (381*t[53])/16 + (803*t[54])/16 + 
       2*t[55] - t[58]/4 - (9*t[59])/2 + (2307*t[60])/8 + (4689*t[61])/8 - 
       (8401*t[62])/16 + (317*t[63])/16 + (975*t[64])/16 + (5755*t[65])/24 - 
       (12541*t[66])/24 + (13*t[67])/4 + 2*t[68] + 4*t[69] - 29*t[70] + 
       29*t[71] + 19*t[72] - 12*t[73] - (33*t[74])/2 + 12*t[75] + 
       (75*t[76])/4 + 6*t[77] + (109*t[78])/4 + 173*t[80] + (49*t[81])/2 + 
       (127*t[82])/4 + 17*t[83] + (165*t[84])/8 + t[85]/8 + (277*t[86])/2 - 
       (1101*t[87])/8 - (557*t[88])/16 - (69*t[89])/16 - t[90]/2 + 
       (3*t[92])/2 - (3*t[94])/2 - 8*t[95] - 8*t[96] + 11*t[97] + 48*t[98] + 
       36*t[99] - 213*t[100] + 18*t[101]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((97*t[1])/4 - (17*t[2])/8 - 86*t[3] + 
       12*t[4] - (457*t[5])/4 - (1293*t[6])/16 + (5131*t[7])/16 + 
       (279*t[8])/16 + (6057*t[9])/16 - (2357*t[10])/16 + (1121*t[11])/4 + 
       (477*t[12])/4 + (6757*t[13])/96 + (8615*t[14])/48 - 
       (10567*t[15])/288 - (7*t[16])/4 + t[17]/2 + 17*t[18] - 8*t[20] + 
       17*t[21] - (65*t[22])/2 - 17*t[23] + 17*t[24] - 5*t[25] + 2*t[26] - 
       6*t[29] - 2*t[31] - t[32] + 2*t[33] + 53*t[34] - (23*t[36])/2 - 
       4*t[37] - t[38] + 2*t[39] + t[40] - (3*t[41])/4 + (37*t[42])/4 - 
       (411*t[43])/16 - (3*t[44])/2 - (351*t[45])/8 + (11*t[46])/4 + 
       104*t[47] + t[48]/8 + t[49] + (257*t[50])/8 - (43*t[51])/16 - 
       (521*t[52])/8 - (25*t[53])/2 - (173*t[54])/8 - 2*t[55] + 5*t[58] - 
       (9*t[59])/2 + (2307*t[60])/8 + (4689*t[61])/8 - (8401*t[62])/16 + 
       (317*t[63])/16 + (975*t[64])/16 + (5755*t[65])/24 - (12541*t[66])/24 + 
       (13*t[67])/4 + 2*t[68] + 4*t[69] - 29*t[70] + 29*t[71] + 19*t[72] - 
       12*t[73] - (33*t[74])/2 + 12*t[75] + (75*t[76])/4 + 6*t[77] + 
       (109*t[78])/4 + 173*t[80] + (49*t[81])/2 + (127*t[82])/4 + 17*t[83] + 
       (165*t[84])/8 + t[85]/8 + (277*t[86])/2 - (1101*t[87])/8 - 
       (557*t[88])/16 - (69*t[89])/16 - t[90]/2 + (3*t[92])/2 - (3*t[94])/2 - 
       8*t[95] - 8*t[96] + 11*t[97] + 48*t[98] + 36*t[99] - 213*t[100] + 
       18*t[101]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((136*t[1])/3 - 34*t[2] - (5387*t[3])/24 - 144*t[4] + (1489*t[5])/48 - 
       (511*t[6])/24 + (1487*t[7])/8 + (2981*t[8])/8 + (8623*t[9])/48 + 
       (137*t[10])/8 + (4209*t[11])/8 + (10415*t[12])/48 + 
       (127477*t[13])/432 + (63263*t[14])/144 + (12443*t[15])/288 + 
       (7*t[16])/2 - (3*t[17])/2 + (106*t[18])/3 - 4*t[19] - (20*t[20])/3 + 
       (124*t[21])/3 - (16*t[22])/3 - (178*t[23])/3 + (98*t[24])/3 + 
       15*t[25] - 37*t[26] + (65*t[27])/3 - (37*t[29])/3 + 16*t[30] - 
       12*t[31] + (118*t[32])/3 + 21*t[33] + (106*t[34])/3 - 9*t[36] - 
       12*t[37] + (79*t[38])/3 - 9*t[39] - 31*t[40] + (112*t[41])/3 - 
       (53*t[42])/3 - (98*t[43])/3 - (89*t[44])/6 + (371*t[45])/12 + 
       (21*t[46])/2 + (47*t[47])/2 - (17*t[48])/2 - (86*t[49])/3 - 
       (281*t[50])/6 + (22*t[51])/3 + (547*t[52])/6 - (133*t[53])/3 + 
       (386*t[54])/3 + 6*t[55] + (4*t[58])/3 - 14*t[59] + (3965*t[60])/6 + 
       (3580*t[61])/3 - (4225*t[62])/4 - (377*t[63])/4 + (331*t[64])/4 + 
       (16717*t[65])/36 - (8956*t[66])/9 + 5*t[67] + (5*t[68])/2 + 4*t[69] - 
       (152*t[70])/3 + (152*t[71])/3 + (164*t[72])/3 - 20*t[73] - 28*t[74] + 
       20*t[75] - (77*t[76])/6 + (10*t[77])/3 + (328*t[78])/3 + 
       (838*t[80])/3 + (101*t[81])/3 + (419*t[82])/6 + (80*t[83])/3 + 
       (176*t[84])/3 - (439*t[85])/12 + (1597*t[86])/6 - (3233*t[87])/12 - 
       (785*t[88])/24 - (265*t[89])/24 - (5*t[90])/2 + 3*t[92] - 3*t[94] - 
       24*t[95] - 24*t[96] + (76*t[97])/3 - 200*t[98] + 432*t[99] - 
       474*t[100] + 60*t[101]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 
       1 - w]*((172*t[1])/3 - t[2]/3 - (5287*t[3])/24 + (263*t[4])/4 - 
       (10477*t[5])/48 - (977*t[6])/8 + (2425*t[7])/4 + (1165*t[8])/6 + 
       (32423*t[9])/48 - (6233*t[10])/24 + (6559*t[11])/12 + 
       (8983*t[12])/48 + (27749*t[13])/216 + (4655*t[14])/12 - 
       (14593*t[15])/288 - (7*t[16])/2 + 2*t[17] + (100*t[18])/3 - 
       (40*t[20])/3 + (100*t[21])/3 - (170*t[22])/3 - (100*t[23])/3 + 
       (97*t[24])/3 - (47*t[25])/3 + (53*t[26])/6 + 3*t[27] - (53*t[29])/3 - 
       8*t[30] - (34*t[31])/3 + (26*t[32])/3 + 12*t[33] + (274*t[34])/3 - 
       23*t[36] - 12*t[37] + (13*t[38])/3 + (17*t[40])/3 - (5*t[41])/3 + 
       (55*t[42])/3 - (1303*t[43])/24 - (41*t[44])/6 - (188*t[45])/3 + 
       (61*t[46])/6 + 165*t[47] + (1091*t[48])/24 + (15*t[49])/8 + 
       (481*t[50])/8 - (601*t[51])/48 - (2843*t[52])/24 - (311*t[53])/8 - 
       (913*t[54])/24 - 6*t[55] + (55*t[58])/6 - 14*t[59] + (3965*t[60])/6 + 
       (3580*t[61])/3 - (4225*t[62])/4 - (377*t[63])/4 + (331*t[64])/4 + 
       (16717*t[65])/36 - (8956*t[66])/9 + 5*t[67] + (5*t[68])/2 + 4*t[69] - 
       (152*t[70])/3 + (152*t[71])/3 + (164*t[72])/3 - 20*t[73] - 28*t[74] + 
       20*t[75] - (77*t[76])/6 + (10*t[77])/3 + (328*t[78])/3 + 
       (838*t[80])/3 + (101*t[81])/3 + (419*t[82])/6 + (80*t[83])/3 + 
       (176*t[84])/3 - (439*t[85])/12 + (1597*t[86])/6 - (3233*t[87])/12 - 
       (785*t[88])/24 - (265*t[89])/24 - (5*t[90])/2 + 3*t[92] - 3*t[94] - 
       24*t[95] - 24*t[96] + (76*t[97])/3 - 200*t[98] + 432*t[99] - 
       474*t[100] + 60*t[101]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - v]*(-t[1]/6 + (79*t[2])/36 + (5*t[3])/4 - 
       (45*t[4])/4 + (177*t[5])/16 + (1421*t[6])/144 - (485*t[7])/8 + 
       (331*t[8])/8 - (2299*t[9])/48 - (335*t[10])/12 - (407*t[11])/48 + 
       (227*t[12])/48 + (163*t[13])/144 + (481*t[14])/144 + 
       (14611*t[15])/864 + (5*t[17])/6 + t[18] + t[19] - t[20] - t[21] + 
       3*t[23] + t[24] + 2*t[27] + 3*t[28] + (29*t[29])/12 - (9*t[30])/2 + 
       (5*t[31])/3 - (2*t[33])/3 + (4*t[34])/3 + 4*t[35] - t[36] - 
       (4*t[38])/3 + t[39] - (7*t[40])/3 - (23*t[41])/6 + (76*t[42])/9 + 
       13*t[43] - (101*t[44])/12 - (265*t[45])/12 + 2*t[46] + (127*t[47])/6 - 
       (3*t[48])/16 - (31*t[49])/24 - (557*t[50])/48 - (27*t[51])/16 + 
       (797*t[52])/48 + (31*t[53])/24 + (211*t[54])/16 - (56*t[59])/9 - 
       (61*t[60])/24 + (2021*t[61])/24 + (1967*t[62])/48 + (1105*t[63])/48 + 
       (1375*t[64])/16 - (817*t[65])/72 - (515*t[66])/8 + (4*t[68])/3 - 
       t[72] + 9*t[73] + 3*t[74] + 2*t[75] - t[76] - (19*t[77])/6 + 
       (67*t[78])/6 - t[79] + (95*t[80])/3 + (35*t[81])/6 - 5*t[82] + 
       (77*t[83])/3 + (73*t[84])/24 + (65*t[85])/24 - (115*t[86])/6 - 
       (79*t[87])/8 - (229*t[88])/48 - (521*t[89])/16 + (2*t[97])/3 - 
       48*t[98] + 24*t[99] + t[100]/2 - 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-25*t[1])/18 + (31*t[2])/12 - (19*t[3])/24 + (433*t[4])/24 - 
       (447*t[5])/16 - (659*t[6])/24 - (365*t[7])/24 - (227*t[8])/24 - 
       (515*t[9])/48 - (661*t[10])/48 + (7*t[11])/8 + (103*t[12])/8 + 
       (1061*t[13])/144 - (817*t[14])/288 + (391*t[15])/288 - (2*t[16])/3 - 
       3*t[27] - 3*t[28] + 2*t[30] - 3*t[31] + (2*t[34])/3 - 7*t[35] - 
       (7*t[36])/3 + (4*t[37])/3 - t[38]/3 - 2*t[39] + (7*t[40])/3 - 
       t[41]/3 + t[42]/3 - (59*t[43])/12 + t[44] - (10*t[45])/3 - 
       (17*t[46])/6 + (20*t[47])/3 - (5*t[48])/2 - t[49]/48 + (31*t[50])/6 + 
       (647*t[51])/96 - (17*t[52])/2 + (97*t[53])/48 + (41*t[54])/24 - 
       (2*t[58])/3 + (83*t[59])/18 - (71*t[60])/24 + (1201*t[61])/24 + 
       (187*t[62])/48 + (445*t[63])/48 + (3425*t[64])/48 + (763*t[65])/72 - 
       (335*t[66])/72 + (4*t[68])/3 - t[72] + 9*t[73] - 2*t[74] + 2*t[75] - 
       t[76] - (19*t[77])/6 + (67*t[78])/6 - t[79] + (95*t[80])/3 + 
       (10*t[81])/3 - (5*t[82])/2 + (97*t[83])/3 + (73*t[84])/24 - 
       (145*t[85])/24 + 15*t[86] - (187*t[87])/24 - (179*t[88])/48 - 
       (631*t[89])/16 + (2*t[97])/3 - 48*t[98] + 24*t[99] + (41*t[100])/2 - 
       6*t[102]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((23*t[1])/6 - (103*t[2])/6 - (27*t[3])/4 - (25*t[4])/4 + 
       (623*t[5])/48 + (29*t[6])/48 - t[7]/6 + (343*t[8])/12 - 
       (407*t[9])/48 + (355*t[10])/12 - (239*t[11])/16 + (361*t[12])/48 - 
       (2479*t[13])/432 - (91*t[14])/3 - (6895*t[15])/864 + (10*t[23])/3 + 
       (7*t[27])/3 - 3*t[28] - (41*t[29])/12 + 6*t[30] - 3*t[31] + 
       (40*t[32])/3 - 7*t[33] - (25*t[34])/3 + 6*t[35] + t[37] + 
       (7*t[38])/3 + (11*t[39])/3 + (19*t[41])/6 - (19*t[42])/6 - 
       (13*t[43])/24 - (113*t[44])/12 - (31*t[45])/12 - (5*t[46])/6 + 
       (56*t[47])/3 + (937*t[48])/48 + (23*t[49])/6 - (121*t[50])/16 + 
       (15*t[51])/8 + (11*t[52])/48 + t[53]/6 + (203*t[54])/48 + 
       (11*t[59])/6 - (1673*t[60])/24 - (1601*t[61])/24 - (1939*t[62])/48 - 
       (1697*t[63])/48 + (749*t[64])/16 + (1117*t[65])/24 + (3661*t[66])/72 - 
       2*t[68] + t[72] - t[73] - 9*t[74] - 15*t[75] + (20*t[76])/3 + 
       (32*t[77])/3 - (77*t[78])/3 + 3*t[79] + (16*t[80])/3 - (28*t[81])/3 + 
       (19*t[82])/6 - (791*t[84])/24 - (707*t[85])/24 - (35*t[86])/3 + 
       (1375*t[87])/24 + (1679*t[88])/48 + (1031*t[89])/16 - 2*t[95] + 
       (20*t[97])/3 + 128*t[98] - 116*t[99] + (203*t[100])/2 + 6*t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (2*t[1] - (40*t[2])/3 + (203*t[3])/24 - (815*t[4])/24 + (689*t[5])/16 - 
       (475*t[6])/24 - 10*t[7] - (76*t[8])/3 - (1673*t[9])/48 + 
       (719*t[10])/48 - (347*t[11])/24 - (101*t[12])/6 + (1549*t[13])/432 - 
       (1949*t[14])/96 + (979*t[15])/96 + t[25] + (2*t[26])/3 + (8*t[27])/3 + 
       10*t[28] - 3*t[30] - 5*t[31] - (8*t[34])/3 + 7*t[36] - (11*t[37])/3 + 
       (17*t[39])/3 - (5*t[40])/3 + (4*t[41])/3 - (4*t[42])/3 + 
       (43*t[43])/8 - 5*t[44] + (3*t[45])/4 + (55*t[46])/6 - (3*t[47])/2 - 
       t[48]/2 + (37*t[49])/48 - 10*t[50] - (983*t[51])/96 + (14*t[52])/3 - 
       (389*t[53])/48 - (305*t[54])/24 + (2*t[58])/3 + (11*t[59])/6 - 
       (1673*t[60])/24 - (1601*t[61])/24 - (1939*t[62])/48 - 
       (1697*t[63])/48 + (749*t[64])/16 + (1117*t[65])/24 + (3661*t[66])/72 - 
       2*t[68] + t[72] - t[73] - 9*t[74] - 15*t[75] + (20*t[76])/3 + 
       (32*t[77])/3 - (77*t[78])/3 + 3*t[79] + (16*t[80])/3 - (28*t[81])/3 + 
       (19*t[82])/6 - (791*t[84])/24 - (707*t[85])/24 - (35*t[86])/3 + 
       (1375*t[87])/24 + (1679*t[88])/48 + (1031*t[89])/16 - 2*t[95] + 
       (20*t[97])/3 + 128*t[98] - 116*t[99] + (203*t[100])/2 + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-25*t[1])/3 + (70*t[2])/3 - (55*t[3])/3 + (433*t[4])/6 + 
       (337*t[5])/4 + (813*t[6])/4 - (189*t[7])/4 + (1333*t[8])/12 - 
       (697*t[9])/6 - (453*t[10])/4 - (2963*t[11])/12 - (2029*t[12])/12 - 
       (19273*t[13])/108 - (46*t[14])/9 + 77*t[15] + (5*t[16])/3 - t[17] - 
       (50*t[18])/3 - 6*t[19] + 10*t[20] - (38*t[21])/3 + (86*t[22])/3 + 
       (34*t[23])/3 - 30*t[24] + 24*t[25] - 22*t[26] - 27*t[27] + 2*t[28] + 
       (23*t[29])/2 - (101*t[30])/3 + 8*t[31] + (103*t[32])/3 - 
       (59*t[33])/3 - 84*t[34] + 18*t[35] + (88*t[36])/3 + (22*t[37])/3 + 
       11*t[38] + (41*t[39])/3 + (29*t[40])/3 - (29*t[41])/3 - (5*t[42])/3 + 
       (13*t[43])/12 + (8*t[44])/3 + (455*t[45])/6 + (19*t[46])/3 - 
       (562*t[47])/3 + (1393*t[48])/12 - (31*t[49])/3 - (13*t[50])/4 - 
       5*t[51] + (367*t[52])/12 + (40*t[53])/3 + (1141*t[54])/12 + 
       (2*t[56])/3 + (8*t[57])/3 - (8*t[58])/3 - (31*t[59])/3 + 118*t[60] - 
       (401*t[61])/3 + 879*t[62] + (355*t[63])/3 - (5591*t[64])/6 - 
       (17*t[65])/3 + (9136*t[66])/9 + (4*t[67])/3 - 4*t[68] - 4*t[69] + 
       (140*t[70])/3 - (140*t[71])/3 - 4*t[72] + 4*t[73] + 40*t[74] + 
       4*t[75] - (152*t[76])/3 - (64*t[77])/3 + (80*t[78])/3 + 32*t[79] - 
       (740*t[80])/3 - (236*t[81])/3 - (218*t[82])/3 - 262*t[83] + 
       (541*t[84])/3 - (283*t[85])/3 - (1342*t[86])/3 - 43*t[87] + 
       (65*t[88])/2 + (68*t[89])/3 - (2*t[90])/3 - (4*t[94])/3 - 4*t[97] - 
       320*t[98] + 460*t[99] - 368*t[100] - 20*t[101] + 12*t[102]) + 
     Qep[w, u, v]*((-64*t[2])/3 + (64*t[3])/3 - (64*t[4])/9 + (128*t[5])/3 - 
       (64*t[6])/9 - (128*t[7])/3 + 192*t[8] - (1472*t[9])/9 - 
       (128*t[10])/9 + (128*t[11])/9 - (256*t[12])/9 + 64*t[13] + 
       (256*t[14])/9 + (352*t[15])/9 + (640*t[24])/9 + (640*t[25])/9 - 
       (640*t[26])/9 - (640*t[27])/9 + (640*t[33])/9 - (640*t[39])/9 + 
       (256*t[48])/9 + (320*t[49])/9 - (128*t[50])/9 - (128*t[51])/9 + 
       (128*t[52])/9 - (320*t[53])/9 - (128*t[54])/9 + (128*t[60])/9 + 
       (128*t[61])/9 - (64*t[62])/9 + (64*t[63])/9 + (64*t[64])/9 - 
       (512*t[65])/27 - (1024*t[66])/27 - (896*t[82])/9 + (128*t[85])/9 - 
       (128*t[87])/9 - (64*t[88])/9 - (64*t[89])/9)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*Omega2[v, w, u]*(-t[1] + (25*t[2])/2 - 8*t[3] - 
       (40*t[4])/3 - 6*t[5] - (52*t[6])/3 - 6*t[7] - 6*t[8] + (40*t[9])/3 - 
       (7*t[10])/6 - (53*t[11])/6 + (121*t[12])/6 + (11*t[13])/4 + 
       (71*t[14])/4 + (34*t[15])/3 + (16*t[24])/3 + (28*t[25])/3 - 
       (22*t[26])/3 - (4*t[27])/3 + 2*t[28] - 2*t[32] + (22*t[33])/3 + 
       2*t[35] - 2*t[38] - (16*t[39])/3 + 2*t[40] - t[41] + t[42] - 2*t[47] - 
       (5*t[48])/3 - (29*t[49])/6 - (20*t[50])/3 - (29*t[51])/12 + 
       (20*t[52])/3 + (29*t[53])/6 + (37*t[54])/3 + (8*t[60])/3 + 
       (8*t[61])/3 - (4*t[62])/3 + (4*t[63])/3 + (4*t[64])/3 - (32*t[65])/9 - 
       (64*t[66])/9 - (32*t[82])/3 + (8*t[85])/3 - (8*t[87])/3 - 
       (4*t[88])/3 - (4*t[89])/3)*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*(-26*t[2] + 5*t[3] + (71*t[4])/3 - 4*t[5] + 
       (61*t[6])/6 - 20*t[7] + 38*t[8] - (47*t[9])/3 - (97*t[10])/6 + 
       (127*t[11])/6 - (137*t[12])/6 + (15*t[14])/4 + (19*t[15])/2 + 
       (16*t[24])/3 + (4*t[25])/3 - (4*t[26])/3 - (4*t[27])/3 + 4*t[28] - 
       4*t[32] + (4*t[33])/3 + (8*t[39])/3 + 4*t[40] - 2*t[43] - 4*t[44] - 
       4*t[45] + 4*t[46] + 4*t[47] + (71*t[48])/6 + (73*t[49])/6 - 
       (25*t[50])/6 + (7*t[51])/12 + (25*t[52])/6 - (73*t[53])/6 - 
       (37*t[54])/6 + (8*t[60])/3 + (8*t[61])/3 - (4*t[62])/3 + (4*t[63])/3 + 
       (4*t[64])/3 - (32*t[65])/9 - (64*t[66])/9 - (8*t[82])/3 + 
       (8*t[85])/3 - (8*t[87])/3 - (4*t[88])/3 - (4*t[89])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*(-t[2]/4 + (23*t[3])/4 + (5*t[4])/4 + 
       (37*t[5])/4 + (19*t[6])/12 - (53*t[7])/4 - (11*t[8])/2 - 
       (139*t[9])/8 + (117*t[10])/8 - (71*t[11])/4 - (71*t[12])/8 - 
       (313*t[13])/72 - (659*t[14])/144 + (175*t[15])/24 - (3*t[41])/2 + 
       t[42]/3 + (7*t[43])/4 - (7*t[45])/4 - (19*t[47])/2 + (7*t[49])/8 - 
       (7*t[51])/16 - (7*t[53])/8 - (7*t[54])/4 - t[59]/3 - (13*t[60])/4 - 
       (43*t[61])/2 + (77*t[62])/3 + (17*t[63])/2 - 34*t[64] - 
       (83*t[65])/18 + (611*t[66])/18 - 3*t[79] - 13*t[80] + t[81]/2 - 
       t[82]/2 + (7*t[85])/4 - (39*t[86])/2 - (7*t[87])/4 - (7*t[88])/8 - 
       (9*t[89])/8)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      ((2*t[1])/3 - (3*t[3])/4 + (39*t[4])/4 - (61*t[5])/4 - (15*t[6])/8 - 
       (51*t[7])/8 - (31*t[8])/8 + (27*t[9])/4 + (61*t[10])/8 - 
       (91*t[11])/8 + (73*t[12])/12 - (91*t[13])/12 - (17*t[14])/8 - 
       (61*t[15])/16 + t[31] - (25*t[43])/8 - (7*t[48])/8 - (7*t[50])/8 + 
       (7*t[52])/8 + (7*t[54])/8 - t[59]/3 - (13*t[60])/4 - (43*t[61])/2 + 
       (77*t[62])/3 + (17*t[63])/2 - 34*t[64] - (83*t[65])/18 + 
       (611*t[66])/18 - 3*t[79] - 13*t[80] + t[81]/2 - t[82]/2 + 
       (7*t[85])/4 - (39*t[86])/2 - (7*t[87])/4 - (7*t[88])/8 - (9*t[89])/8)*
      \[Zeta][2] + HPL[{1}, 1 - u]*Omega2[u, v, w]*((-5*t[4])/3 + t[5] + 
       t[6]/3 + (2*t[9])/3 - t[10]/3 - (2*t[11])/3 + t[12]/3 + (13*t[13])/3 + 
       (25*t[14])/6 + (11*t[15])/3 + (14*t[24])/3 + (14*t[25])/3 - 
       (14*t[26])/3 - (14*t[27])/3 + (14*t[33])/3 - (14*t[39])/3 - t[48]/3 + 
       t[49]/3 - t[50]/3 + t[51]/6 + t[52]/3 - t[53]/3 - t[54]/3 + 
       (4*t[60])/3 + (4*t[61])/3 - (2*t[62])/3 + (2*t[63])/3 + (2*t[64])/3 - 
       (16*t[65])/9 - (32*t[66])/9 - (28*t[82])/3 + (4*t[85])/3 - 
       (4*t[87])/3 - (2*t[88])/3 - (2*t[89])/3)*\[Zeta][2] + 
     M1[w, v, u]*(t[4]/3 - t[5] + t[6]/3 + (2*t[9])/3 - t[10]/3 + 
       (4*t[11])/3 + t[12]/3 + t[13] + (5*t[14])/6 + t[15]/3 + (2*t[24])/3 + 
       (2*t[25])/3 - (2*t[26])/3 - (2*t[27])/3 + (2*t[33])/3 - (2*t[39])/3 - 
       t[48]/3 + t[49]/3 - t[50]/3 + t[51]/6 + t[52]/3 - t[53]/3 - t[54]/3 + 
       (4*t[60])/3 + (4*t[61])/3 - (2*t[62])/3 + (2*t[63])/3 + (2*t[64])/3 - 
       (16*t[65])/9 - (32*t[66])/9 - (4*t[82])/3 + (4*t[85])/3 - 
       (4*t[87])/3 - (2*t[88])/3 - (2*t[89])/3)*\[Zeta][2] + 
     M1[v, u, w]*((2*t[4])/3 - 2*t[5] + (2*t[6])/3 + (4*t[9])/3 - 
       (2*t[10])/3 + (8*t[11])/3 + (2*t[12])/3 + 2*t[13] + (5*t[14])/3 + 
       (2*t[15])/3 + (4*t[24])/3 + (4*t[25])/3 - (4*t[26])/3 - (4*t[27])/3 + 
       (4*t[33])/3 - (4*t[39])/3 - (2*t[48])/3 + (2*t[49])/3 - (2*t[50])/3 + 
       t[51]/3 + (2*t[52])/3 - (2*t[53])/3 - (2*t[54])/3 + (8*t[60])/3 + 
       (2*t[61])/3 - (4*t[62])/3 + (4*t[63])/3 + t[64]/3 - (8*t[65])/9 - 
       (40*t[66])/9 - (8*t[82])/3 + (8*t[85])/3 - (8*t[87])/3 - (4*t[88])/3 - 
       t[89]/3)*\[Zeta][2] + Nt[u, v, w]*((5*t[4])/6 - t[5]/2 - t[6]/6 - 
       t[9]/3 + t[10]/6 + t[11]/3 - t[12]/6 - (13*t[13])/6 - (25*t[14])/12 - 
       (11*t[15])/6 - (7*t[24])/3 - (7*t[25])/3 + (7*t[26])/3 + (7*t[27])/3 - 
       (7*t[33])/3 + (7*t[39])/3 + t[48]/6 - t[49]/6 + t[50]/6 - t[51]/12 - 
       t[52]/6 + t[53]/6 + t[54]/6 - (2*t[60])/3 - (2*t[61])/3 + t[62]/3 - 
       t[63]/3 - t[64]/3 + (8*t[65])/9 + (16*t[66])/9 + (14*t[82])/3 - 
       (2*t[85])/3 + (2*t[87])/3 + t[88]/3 + t[89]/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      (26*t[2] - 5*t[3] - (67*t[4])/3 - (53*t[6])/6 + 20*t[7] - 38*t[8] + 
       (55*t[9])/3 + (89*t[10])/6 - (95*t[11])/6 + (145*t[12])/6 + 4*t[13] - 
       (5*t[14])/12 - (49*t[15])/6 - (8*t[24])/3 + (4*t[25])/3 - 
       (4*t[26])/3 - (4*t[27])/3 - 4*t[28] + 4*t[32] + (4*t[33])/3 - 
       (16*t[39])/3 - 4*t[40] + 2*t[43] + 4*t[44] + 4*t[45] - 4*t[46] - 
       4*t[47] - (79*t[48])/6 - (65*t[49])/6 + (17*t[50])/6 + t[51]/12 - 
       (17*t[52])/6 + (65*t[53])/6 + (29*t[54])/6 + (8*t[60])/3 - 
       (4*t[61])/3 - (4*t[62])/3 + (4*t[63])/3 - (2*t[64])/3 + (16*t[65])/9 - 
       (16*t[66])/9 - (8*t[82])/3 + (8*t[85])/3 - (8*t[87])/3 - (4*t[88])/3 + 
       (2*t[89])/3)*\[Zeta][2] + HPL[{1}, 1 - u]*Omega2[v, w, u]*
      ((5*t[4])/3 - t[5] - t[6]/3 - (2*t[9])/3 + t[10]/3 + (2*t[11])/3 - 
       t[12]/3 - (13*t[13])/3 - (25*t[14])/6 - (11*t[15])/3 - (14*t[24])/3 - 
       (14*t[25])/3 + (14*t[26])/3 + (14*t[27])/3 - (14*t[33])/3 + 
       (14*t[39])/3 + t[48]/3 - t[49]/3 + t[50]/3 - t[51]/6 - t[52]/3 + 
       t[53]/3 + t[54]/3 - (4*t[60])/3 - (4*t[61])/3 + (2*t[62])/3 - 
       (2*t[63])/3 - (2*t[64])/3 + (16*t[65])/9 + (32*t[66])/9 + 
       (28*t[82])/3 - (4*t[85])/3 + (4*t[87])/3 + (2*t[88])/3 + (2*t[89])/3)*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (39*t[2] - (15*t[3])/2 - (73*t[4])/2 + 9*t[5] - (65*t[6])/4 + 30*t[7] - 
       57*t[8] + (43*t[9])/2 + (101*t[10])/4 - (143*t[11])/4 + 
       (133*t[12])/4 - 3*t[13] - (65*t[14])/8 - (61*t[15])/4 - 10*t[24] - 
       4*t[25] + 4*t[26] + 4*t[27] - 6*t[28] + 6*t[32] - 4*t[33] - 2*t[39] - 
       6*t[40] + 3*t[43] + 6*t[44] + 6*t[45] - 6*t[46] - 6*t[47] - 
       (67*t[48])/4 - (77*t[49])/4 + (29*t[50])/4 - (11*t[51])/8 - 
       (29*t[52])/4 + (77*t[53])/4 + (41*t[54])/4 - 8*t[60] - 8*t[61] + 
       4*t[62] - 4*t[63] - 4*t[64] + (32*t[65])/3 + (64*t[66])/3 + 8*t[82] - 
       8*t[85] + 8*t[87] + 4*t[88] + 4*t[89])*\[Zeta][2] + 
     Qep[w, v, u]*(-16*t[1] - (944*t[2])/3 - (544*t[3])/3 + (1816*t[4])/9 - 
       (680*t[5])/3 + (2068*t[6])/9 + (176*t[7])/3 + 16*t[8] + 
       (1448*t[9])/9 - (508*t[10])/9 + (2524*t[11])/9 + (2692*t[12])/9 + 
       (3040*t[13])/9 + (74*t[14])/9 - (664*t[15])/9 - (736*t[24])/9 + 
       (704*t[25])/9 - (416*t[26])/9 - (704*t[27])/9 + (416*t[33])/9 - 
       32*t[38] - (416*t[39])/9 + 16*t[41] - 16*t[42] + 16*t[43] + 32*t[44] - 
       32*t[45] - 80*t[46] + 64*t[47] - (172*t[48])/9 + (460*t[49])/9 - 
       (76*t[50])/9 + (158*t[51])/9 + (76*t[52])/9 - (460*t[53])/9 - 
       (364*t[54])/9 + 64*t[59] + (4144*t[60])/9 + (8176*t[61])/9 - 
       (1352*t[62])/9 + (3080*t[63])/9 - (1240*t[64])/9 + (7328*t[65])/27 - 
       (20768*t[66])/27 - 320*t[74] - 64*t[78] + 128*t[80] + 160*t[81] - 
       (2080*t[82])/9 + 64*t[84] + (688*t[85])/9 + 384*t[86] - 
       (1264*t[87])/9 - (632*t[88])/9 - (776*t[89])/9 - 384*t[99] - 
       768*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (4*t[1] - (27*t[2])/2 - (225*t[3])/4 + (185*t[4])/2 - (3*t[5])/4 + 
       (259*t[6])/2 - (99*t[7])/2 + (635*t[8])/2 - (149*t[9])/4 - 
       (241*t[10])/4 + 113*t[11] - 4*t[12] + (485*t[13])/9 + 
       (3125*t[14])/24 + (1039*t[15])/36 + 2*t[18] + 8*t[19] + 10*t[21] - 
       10*t[22] - 2*t[23] - 8*t[25] + 6*t[26] - 10*t[27] - 7*t[29] + 
       27*t[32] - 6*t[33] - 8*t[34] - 4*t[37] + 2*t[38] + 16*t[39] + 
       2*t[41] - t[42] - 9*t[43] - (99*t[44])/2 + t[45] - t[46] - 19*t[47] + 
       74*t[48] + (141*t[49])/4 - 27*t[50] - (51*t[51])/8 + 25*t[52] - 
       (141*t[53])/4 + 35*t[54] - 11*t[59] + 186*t[60] + (797*t[61])/2 - 
       70*t[62] - 13*t[63] - (175*t[64])/4 - (107*t[65])/2 - 261*t[66] + 
       2*t[71] - 10*t[74] - 6*t[76] - 10*t[77] + 29*t[78] + 2*t[80] + 
       12*t[81] - 14*t[82] - 6*t[83] + (83*t[84])/2 - 52*t[85] - 40*t[86] - 
       86*t[87] - 27*t[88] - 79*t[89] - 4*t[95] - 4*t[96] + 6*t[97] - 
       48*t[98] + 192*t[99] - 720*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*(8*t[1] - (79*t[2])/2 - 
       (2125*t[3])/32 + (2119*t[4])/48 - (12973*t[5])/64 + (5081*t[6])/96 + 
       (2227*t[7])/16 - (237*t[8])/4 + (60845*t[9])/192 - (11357*t[10])/96 + 
       (4997*t[11])/24 + (29401*t[12])/192 + (7457*t[13])/72 + 
       (6161*t[14])/48 - (49639*t[15])/1152 + (7*t[18])/2 + 2*t[19] + 
       (11*t[21])/2 + 2*t[22] - (11*t[23])/2 - (83*t[24])/6 + (109*t[25])/6 - 
       (115*t[26])/6 - (20*t[27])/3 - 3*t[29] - (15*t[30])/2 + 2*t[31] + 
       (17*t[32])/2 - (107*t[33])/6 - (35*t[34])/4 + (3*t[36])/2 - 2*t[37] + 
       7*t[38] + (137*t[39])/6 + 2*t[40] - (9*t[41])/4 + 4*t[42] - 
       (1147*t[43])/32 + (65*t[44])/4 + (49*t[45])/8 - (45*t[46])/8 + 
       (81*t[47])/4 - (1823*t[48])/96 - (2863*t[49])/96 + (457*t[50])/96 + 
       (5609*t[51])/192 - (865*t[52])/96 + (3823*t[53])/96 + 
       (1645*t[54])/96 + (13*t[58])/4 - (61*t[59])/8 + (1163*t[60])/6 + 
       (26407*t[61])/48 - (14851*t[62])/96 - (11453*t[63])/96 - 
       (4157*t[64])/96 + (5441*t[65])/144 - (69179*t[66])/144 + 2*t[69] - 
       9*t[70] + 9*t[71] + (11*t[72])/2 + 9*t[73] - 23*t[74] - 9*t[75] + 
       (7*t[76])/2 - (19*t[77])/2 + (47*t[78])/4 + (113*t[80])/4 + 
       (121*t[81])/4 - (787*t[82])/12 - (31*t[83])/2 + (223*t[84])/4 - 
       (137*t[85])/3 - (105*t[86])/8 - (136*t[87])/3 - (71*t[88])/3 - 
       (1039*t[89])/24 + (11*t[97])/4 - 18*t[98] + 135*t[99] - 708*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-47*t[1])/8 - (117*t[2])/2 - (1723*t[3])/32 + (5653*t[4])/48 - 
       (63*t[5])/64 + (367*t[6])/3 - (3051*t[7])/32 + (13117*t[8])/32 - 
       (25495*t[9])/192 + (133*t[10])/24 + (9439*t[11])/48 + 
       (1891*t[12])/192 + (9175*t[13])/64 + (2331*t[14])/16 + 
       (17347*t[15])/384 + (7*t[18])/2 - 4*t[20] + (7*t[21])/2 + 
       (3*t[22])/2 - (7*t[23])/2 + (13*t[24])/6 + (38*t[25])/3 - 
       (11*t[26])/3 - (145*t[27])/6 - (3*t[29])/2 + t[30] - 3*t[31] + 
       12*t[32] - (10*t[33])/3 - (31*t[34])/2 + (7*t[36])/2 - 2*t[37] - 
       (9*t[38])/2 + (25*t[39])/3 + (19*t[40])/4 - (29*t[41])/8 + 
       (27*t[42])/8 - (281*t[43])/16 - (161*t[44])/4 + (839*t[45])/16 - 
       (179*t[46])/8 - (669*t[47])/8 + (6487*t[48])/96 + (4079*t[49])/96 - 
       (3761*t[50])/96 - (289*t[51])/192 + (3473*t[52])/96 - 
       (3695*t[53])/96 - (389*t[54])/96 + (19*t[58])/4 - (61*t[59])/8 + 
       (1163*t[60])/6 + (26407*t[61])/48 - (14851*t[62])/96 - 
       (11453*t[63])/96 - (4157*t[64])/96 + (5441*t[65])/144 - 
       (69179*t[66])/144 + 2*t[69] - 9*t[70] + 9*t[71] + (11*t[72])/2 + 
       9*t[73] - 23*t[74] - 9*t[75] + (7*t[76])/2 - (19*t[77])/2 + 
       (47*t[78])/4 + (113*t[80])/4 + (121*t[81])/4 - (787*t[82])/12 - 
       (31*t[83])/2 + (223*t[84])/4 - (137*t[85])/3 - (105*t[86])/8 - 
       (136*t[87])/3 - (71*t[88])/3 - (1039*t[89])/24 + (11*t[97])/4 - 
       18*t[98] + 135*t[99] - 708*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*(17*t[1] + 28*t[2] - 27*t[3] - 
       (37*t[4])/6 - 43*t[5] - (67*t[6])/6 + (107*t[7])/2 - (13*t[8])/2 + 
       (541*t[9])/6 - (377*t[10])/6 + (695*t[11])/6 + (148*t[12])/3 + 
       (1159*t[13])/18 + (923*t[14])/8 + (331*t[15])/12 + (8*t[24])/3 + 
       (68*t[25])/3 - (116*t[26])/3 - (2*t[27])/3 - 8*t[30] + (8*t[33])/3 + 
       4*t[35] - 2*t[36] - 8*t[37] + 16*t[38] + (16*t[39])/3 + 10*t[40] - 
       2*t[41] + 2*t[42] - 4*t[43] - 2*t[44] + 20*t[45] + 2*t[46] - 
       40*t[47] - (10*t[48])/3 - (169*t[49])/6 - (70*t[50])/3 + 
       (283*t[51])/24 + (34*t[52])/3 + (103*t[53])/6 + (223*t[54])/6 - 
       15*t[59] + (481*t[60])/3 + (2069*t[61])/6 - (373*t[62])/6 - 
       (197*t[63])/6 - (403*t[64])/12 - (1343*t[65])/18 - (1991*t[66])/9 + 
       2*t[71] + 10*t[74] - 6*t[76] - 10*t[77] + 33*t[78] - 6*t[80] + 
       2*t[81] - (40*t[82])/3 - 6*t[83] + (75*t[84])/2 - (161*t[85])/3 - 
       64*t[86] - (241*t[87])/3 - (145*t[88])/6 - (451*t[89])/6 - 4*t[95] - 
       4*t[96] + 6*t[97] - 48*t[98] + 216*t[99] - 672*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*(4*t[1] + (135*t[2])/2 - 
       (239*t[3])/4 + (26*t[4])/3 - (61*t[5])/2 - (215*t[6])/24 + 
       (287*t[7])/4 + (419*t[8])/4 + (418*t[9])/3 - (1457*t[10])/12 + 
       (3517*t[11])/24 + (260*t[12])/3 + (2963*t[13])/72 + (739*t[14])/8 - 
       (43*t[15])/8 - 4*t[19] + 8*t[21] - 8*t[23] - (62*t[24])/3 - 
       (98*t[25])/3 + (92*t[26])/3 + (128*t[27])/3 + 28*t[28] - 5*t[29] - 
       12*t[30] - 12*t[31] - 9*t[32] - (44*t[33])/3 + 16*t[34] + 12*t[35] + 
       28*t[36] - 16*t[37] + (158*t[39])/3 + 3*t[40] + 6*t[41] - 6*t[42] - 
       (13*t[43])/4 + (5*t[44])/2 - (57*t[45])/2 + 11*t[46] + 21*t[47] + 
       (605*t[48])/24 - (257*t[49])/6 - (7*t[50])/24 + (115*t[51])/12 + 
       (103*t[52])/24 + (305*t[53])/6 + (1247*t[54])/24 - 4*t[57] - 3*t[59] + 
       (1265*t[60])/12 + (4049*t[61])/12 - (3377*t[62])/24 - 
       (4807*t[63])/24 - (559*t[64])/24 - (89*t[65])/36 - (10531*t[66])/36 - 
       14*t[69] + 28*t[73] + 2*t[74] - 12*t[75] + 46*t[76] - 12*t[77] - 
       10*t[78] + 4*t[79] + 124*t[80] + 15*t[81] + (205*t[82])/3 - t[83] + 
       (165*t[84])/4 - (511*t[85])/12 + 40*t[86] + (787*t[87])/12 + 
       (835*t[88])/24 - (905*t[89])/24 - 4*t[95] + 12*t[96] + 10*t[97] + 
       176*t[98] - 40*t[99] - 668*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(-t[1]/6 + (289*t[2])/2 - 
       (1799*t[3])/24 - (328*t[4])/3 - (1739*t[5])/48 - (667*t[6])/4 + 
       (581*t[7])/4 - (187*t[8])/2 + (13289*t[9])/48 + (493*t[10])/12 + 
       (1891*t[11])/24 + (1615*t[12])/48 - (149*t[13])/27 + 
       (42389*t[14])/144 + (21313*t[15])/288 - (2*t[18])/3 - 4*t[19] + 
       (4*t[20])/3 - (26*t[21])/3 - (10*t[22])/3 + (20*t[23])/3 - 13*t[24] + 
       (46*t[25])/3 - (58*t[26])/3 + (100*t[27])/3 - 20*t[28] - 
       (16*t[29])/3 + 2*t[30] - (8*t[32])/3 - (185*t[33])/3 + (91*t[34])/3 + 
       16*t[35] + 18*t[36] + 8*t[37] + (13*t[38])/3 + (113*t[39])/3 + 
       6*t[40] - (67*t[41])/6 + (65*t[42])/6 - (205*t[43])/24 - 
       (28*t[44])/3 + (37*t[45])/6 + 6*t[46] - 63*t[47] - (581*t[48])/12 + 
       (17*t[49])/4 + (81*t[50])/4 - (197*t[51])/24 - (167*t[52])/12 - 
       (25*t[53])/4 + (277*t[54])/4 + 4*t[57] - (14*t[58])/3 - (35*t[59])/2 + 
       126*t[60] + (1353*t[61])/4 - (6335*t[62])/24 + (5663*t[63])/24 - 
       (2485*t[64])/24 - (5749*t[65])/36 - (9137*t[66])/36 + 8*t[69] + 
       (4*t[70])/3 - (4*t[71])/3 - (4*t[72])/3 - 36*t[73] + 94*t[74] - 
       12*t[75] + (77*t[76])/3 - (26*t[77])/3 + (16*t[78])/3 + 8*t[79] + 
       (55*t[80])/3 - (4*t[81])/3 + (158*t[82])/3 + (116*t[83])/3 + 
       (193*t[84])/6 - (50*t[85])/3 - (227*t[86])/6 - (490*t[87])/3 - 
       (245*t[88])/3 - 79*t[89] + (13*t[97])/3 + 200*t[98] + 48*t[99] - 
       632*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-20*t[1])/3 + (283*t[2])/6 - (241*t[3])/24 + (242*t[4])/3 + 
       (1127*t[5])/48 + (919*t[6])/24 + (865*t[7])/8 + (4939*t[8])/24 + 
       (39*t[9])/16 - (577*t[10])/8 + (1097*t[11])/8 - (2409*t[12])/16 - 
       (7523*t[13])/432 + (7957*t[14])/48 - (3575*t[15])/288 + (10*t[18])/3 + 
       (8*t[20])/3 - (14*t[21])/3 - (62*t[22])/3 + (14*t[23])/3 + 
       (11*t[24])/3 - (124*t[25])/3 + 27*t[26] - (22*t[27])/3 - 8*t[28] + 
       (10*t[29])/3 + 6*t[30] - (16*t[31])/3 + (20*t[32])/3 - (59*t[33])/3 + 
       (34*t[34])/3 + 20*t[35] - 14*t[36] + 8*t[37] + (13*t[38])/3 + 
       (11*t[39])/3 + (11*t[40])/3 - (23*t[41])/3 + (28*t[42])/3 - 
       (137*t[43])/12 - (130*t[44])/3 + (121*t[45])/12 - (67*t[46])/3 - 
       (49*t[47])/2 + (485*t[48])/12 + (965*t[49])/12 - (107*t[50])/12 - 
       (63*t[51])/8 - (101*t[52])/12 - (965*t[53])/12 + (5*t[54])/12 + 
       4*t[57] - t[58]/3 - (35*t[59])/2 + 126*t[60] + (1353*t[61])/4 - 
       (6335*t[62])/24 + (5663*t[63])/24 - (2485*t[64])/24 - 
       (5749*t[65])/36 - (9137*t[66])/36 + 8*t[69] + (4*t[70])/3 - 
       (4*t[71])/3 - (4*t[72])/3 - 36*t[73] + 94*t[74] - 12*t[75] + 
       (77*t[76])/3 - (26*t[77])/3 + (16*t[78])/3 + 8*t[79] + (55*t[80])/3 - 
       (4*t[81])/3 + (158*t[82])/3 + (116*t[83])/3 + (193*t[84])/6 - 
       (50*t[85])/3 - (227*t[86])/6 - (490*t[87])/3 - (245*t[88])/3 - 
       79*t[89] + (13*t[97])/3 + 200*t[98] + 48*t[99] - 632*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      (2*t[1] - 21*t[2] - (189*t[3])/4 + (611*t[4])/4 - 58*t[5] + 
       (525*t[6])/8 + (415*t[7])/4 + (231*t[8])/4 + 86*t[9] - 
       (1371*t[10])/8 + (1793*t[11])/8 - (385*t[12])/8 + (443*t[13])/8 + 
       (2359*t[14])/16 + 7*t[15] + 8*t[21] - 12*t[22] - 8*t[23] + 4*t[24] - 
       26*t[25] + 14*t[26] - 2*t[27] + 12*t[28] - 15*t[29] - 2*t[30] + 
       8*t[31] - 12*t[32] + 8*t[33] + 30*t[34] - 16*t[35] - 12*t[36] - 
       8*t[37] + 2*t[38] + 12*t[39] + 2*t[40] - 2*t[41] + 2*t[42] - 
       (3*t[43])/4 + (3*t[44])/2 - (49*t[45])/2 + 5*t[46] + 23*t[47] + 
       (193*t[48])/8 + (253*t[49])/8 + (181*t[50])/8 - (111*t[51])/16 - 
       (229*t[52])/8 - (269*t[53])/8 - (159*t[54])/8 - 4*t[57] - 2*t[58] - 
       4*t[59] + (349*t[60])/2 + (659*t[61])/2 - (147*t[62])/4 + 
       (187*t[63])/4 - (617*t[64])/4 - (823*t[65])/6 - (1801*t[66])/6 - 
       12*t[69] + 24*t[73] + 44*t[74] + 28*t[75] + 16*t[76] - 12*t[77] + 
       48*t[78] + 16*t[79] - 8*t[80] + 22*t[81] + 22*t[82] - 36*t[83] + 
       (107*t[84])/2 - (7*t[85])/2 - 94*t[86] - (289*t[87])/2 - 
       (289*t[88])/4 - (429*t[89])/4 + 4*t[97] + 80*t[98] + 80*t[99] - 
       572*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-16*t[1] + 59*t[2] - (189*t[3])/4 - (213*t[4])/4 - 12*t[5] - 
       (523*t[6])/8 + (39*t[7])/4 - (73*t[8])/4 + 126*t[9] + (733*t[10])/8 + 
       (561*t[11])/8 + (407*t[12])/8 + (559*t[13])/72 + (8957*t[14])/48 + 
       (347*t[15])/9 + 8*t[21] - 8*t[23] - 8*t[24] + 14*t[25] - 2*t[26] + 
       14*t[27] + 4*t[28] + 5*t[29] - 22*t[30] - 4*t[31] - 16*t[32] - 
       4*t[33] + 14*t[34] - 20*t[35] - 4*t[36] - 4*t[37] - 14*t[38] + 
       16*t[39] + 6*t[40] + 2*t[41] - 2*t[42] + (29*t[43])/4 - (21*t[44])/2 + 
       (39*t[45])/2 + 21*t[46] - 69*t[47] - (111*t[48])/8 - (75*t[49])/8 - 
       (139*t[50])/8 - (423*t[51])/16 + (187*t[52])/8 + (91*t[53])/8 + 
       (305*t[54])/8 - 4*t[57] - 2*t[58] - 4*t[59] + (349*t[60])/2 + 
       (659*t[61])/2 - (147*t[62])/4 + (187*t[63])/4 - (617*t[64])/4 - 
       (823*t[65])/6 - (1801*t[66])/6 - 12*t[69] + 24*t[73] + 44*t[74] + 
       28*t[75] + 16*t[76] - 12*t[77] + 48*t[78] + 16*t[79] - 8*t[80] + 
       22*t[81] + 22*t[82] - 36*t[83] + (107*t[84])/2 - (7*t[85])/2 - 
       94*t[86] - (289*t[87])/2 - (289*t[88])/4 - (429*t[89])/4 + 4*t[97] + 
       80*t[98] + 80*t[99] - 572*t[100])*\[Zeta][2] + 
     Qep[v, u, w]*((-32*t[1])/3 - (544*t[2])/3 - (448*t[3])/3 + 
       (368*t[4])/3 - (560*t[5])/3 + (488*t[6])/3 + 96*t[7] - (736*t[8])/3 + 
       (976*t[9])/3 - (56*t[10])/3 + (440*t[11])/3 + (712*t[12])/3 + 
       (4736*t[13])/27 + (28*t[14])/9 - (592*t[15])/9 - (320*t[24])/3 + 
       (64*t[26])/3 - (64*t[33])/3 - (64*t[38])/3 + (64*t[39])/3 + 
       (32*t[41])/3 - (32*t[42])/3 + (32*t[43])/3 + (64*t[44])/3 - 
       (64*t[45])/3 - (160*t[46])/3 + (128*t[47])/3 - (152*t[48])/3 - 
       (40*t[49])/3 + (40*t[50])/3 + (92*t[51])/3 - (40*t[52])/3 + 
       (40*t[53])/3 - 8*t[54] + (128*t[59])/3 + 288*t[60] + (1760*t[61])/3 - 
       (272*t[62])/3 + (656*t[63])/3 - (304*t[64])/3 + (1856*t[65])/9 - 
       (4160*t[66])/9 - (640*t[74])/3 - (128*t[78])/3 + (256*t[80])/3 + 
       (320*t[81])/3 - (320*t[82])/3 + (128*t[84])/3 + 32*t[85] + 256*t[86] - 
       (224*t[87])/3 - (112*t[88])/3 - 48*t[89] - 256*t[99] - 512*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      (12*t[1] + 141*t[2] + 14*t[3] - (767*t[4])/12 + (337*t[5])/2 - 
       (80*t[6])/3 - (21*t[7])/4 + (517*t[8])/4 - (1939*t[9])/12 - 
       (4145*t[10])/24 + (1237*t[11])/12 - (3355*t[12])/24 - (545*t[13])/72 + 
       (5083*t[14])/48 + (169*t[15])/3 + 4*t[19] + 2*t[21] - 2*t[23] + 
       (104*t[24])/3 - (52*t[25])/3 - (8*t[26])/3 + (22*t[27])/3 - 6*t[29] - 
       4*t[31] - 8*t[32] + (2*t[33])/3 - 2*t[34] - 32*t[35] + 30*t[36] - 
       38*t[37] + 16*t[38] + (58*t[39])/3 + t[40] - 6*t[41] + 6*t[42] + 
       (41*t[43])/4 + 43*t[44] + (37*t[45])/2 + 26*t[46] - 29*t[47] + 
       (629*t[48])/12 + (107*t[49])/24 - (307*t[50])/12 - (217*t[51])/48 + 
       (91*t[52])/12 + (157*t[53])/24 - (55*t[54])/3 - 2*t[58] - 23*t[59] - 
       (275*t[60])/12 + (829*t[61])/12 - (2437*t[62])/24 - (7187*t[63])/24 + 
       (661*t[64])/24 - (3889*t[65])/36 - (3371*t[66])/36 - 14*t[69] + 
       28*t[73] + 102*t[74] - 12*t[75] + 46*t[76] - 12*t[77] + 10*t[78] + 
       4*t[79] + 84*t[80] - 35*t[81] + (215*t[82])/3 - t[83] + (85*t[84])/4 - 
       (611*t[85])/12 - 80*t[86] + (1127*t[87])/12 + (1175*t[88])/24 - 
       (445*t[89])/24 - 4*t[95] + 12*t[96] + 10*t[97] + 176*t[98] + 
       80*t[99] - 428*t[100])*\[Zeta][2] + Qep[v, w, u]*
      ((-16*t[1])/3 - (272*t[2])/3 - (224*t[3])/3 + 40*t[4] - (280*t[5])/3 + 
       92*t[6] + 48*t[7] - (368*t[8])/3 + 184*t[9] - 20*t[10] + 84*t[11] + 
       (388*t[12])/3 + (4672*t[13])/27 + (734*t[14])/9 + (280*t[15])/9 + 
       32*t[24] + (256*t[25])/3 - (224*t[26])/3 - (256*t[27])/3 + 
       (224*t[33])/3 - (32*t[38])/3 - (224*t[39])/3 + (16*t[41])/3 - 
       (16*t[42])/3 + (16*t[43])/3 + (32*t[44])/3 - (32*t[45])/3 - 
       (80*t[46])/3 + (64*t[47])/3 - 36*t[48] + 4*t[49] - 4*t[50] + 
       (62*t[51])/3 + 4*t[52] - 4*t[53] - (44*t[54])/3 + (64*t[59])/3 + 
       (560*t[60])/3 + 336*t[61] - (200*t[62])/3 + (392*t[63])/3 - 
       (88*t[64])/3 + (416*t[65])/9 - (3104*t[66])/9 - (320*t[74])/3 - 
       (64*t[78])/3 + (128*t[80])/3 + (160*t[81])/3 - 224*t[82] + 
       (64*t[84])/3 + (176*t[85])/3 + 128*t[86] - 80*t[87] - 40*t[88] - 
       (136*t[89])/3 - 128*t[99] - 256*t[100])*\[Zeta][2] + 
     Qep[u, w, v]*((-16*t[1])/3 - (272*t[2])/3 - (224*t[3])/3 + 
       (680*t[4])/9 - (344*t[5])/3 + (764*t[6])/9 + 48*t[7] - (368*t[8])/3 + 
       (1528*t[9])/9 - (116*t[10])/9 + (884*t[11])/9 + (1100*t[12])/9 + 
       (2176*t[13])/27 - (22*t[14])/3 - (424*t[15])/9 - (608*t[24])/9 - 
       (128*t[25])/9 + (224*t[26])/9 + (128*t[27])/9 - (224*t[33])/9 - 
       (32*t[38])/3 + (224*t[39])/9 + (16*t[41])/3 - (16*t[42])/3 + 
       (16*t[43])/3 + (32*t[44])/3 - (32*t[45])/3 - (80*t[46])/3 + 
       (64*t[47])/3 - (260*t[48])/9 - (28*t[49])/9 + (28*t[50])/9 + 
       (154*t[51])/9 - (28*t[52])/9 + (28*t[53])/9 - (68*t[54])/9 + 
       (64*t[59])/3 + (1424*t[60])/9 + (2768*t[61])/9 - (472*t[62])/9 + 
       (1048*t[63])/9 - (392*t[64])/9 + (2272*t[65])/27 - (7264*t[66])/27 - 
       (320*t[74])/3 - (64*t[78])/3 + (128*t[80])/3 + (160*t[81])/3 - 
       (224*t[82])/9 + (64*t[84])/3 + (272*t[85])/9 + 128*t[86] - 
       (464*t[87])/9 - (232*t[88])/9 - (280*t[89])/9 - 128*t[99] - 
       256*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*((-29*t[1])/6 - 93*t[2] - 
       (1273*t[3])/24 + (761*t[4])/12 - (5137*t[5])/48 + (1079*t[6])/24 + 
       74*t[7] + (287*t[8])/4 + (1881*t[9])/16 - (35*t[10])/3 + 
       (5917*t[11])/24 + (515*t[12])/16 + (72563*t[13])/432 + 
       (11551*t[14])/144 - (421*t[15])/288 + (14*t[18])/3 - 2*t[19] + 
       (2*t[20])/3 + (8*t[21])/3 + (10*t[22])/3 - (8*t[23])/3 + 
       (23*t[24])/3 + (70*t[25])/3 - (58*t[26])/3 - 26*t[27] + 2*t[28] - 
       (2*t[29])/3 + 4*t[31] - (10*t[32])/3 + (43*t[33])/3 + (2*t[34])/3 - 
       4*t[35] - 2*t[37] - (4*t[38])/3 - (37*t[39])/3 + 6*t[40] + 
       (7*t[41])/6 + (7*t[42])/6 + t[43]/24 - (2*t[44])/3 + (5*t[45])/6 - 
       2*t[46] + 53*t[47] - (59*t[48])/3 + (283*t[49])/12 - t[50]/3 + 
       (105*t[51])/8 - 13*t[52] - (283*t[53])/12 - (257*t[54])/6 + 
       (2*t[58])/3 + 4*t[59] + (508*t[60])/3 + (5065*t[61])/12 - 
       (8957*t[62])/24 - (2035*t[63])/24 - (451*t[64])/24 + (1585*t[65])/12 - 
       (7445*t[66])/12 - 2*t[69] - (28*t[70])/3 + (28*t[71])/3 - 
       (8*t[72])/3 + 4*t[73] - 50*t[74] - 10*t[75] + (34*t[76])/3 - 
       (22*t[77])/3 - (40*t[78])/3 - 8*t[79] + (272*t[80])/3 + 
       (145*t[81])/3 - 93*t[82] + (196*t[83])/3 + (22*t[84])/3 + 
       (81*t[85])/2 + (1655*t[86])/6 - (93*t[87])/2 - (93*t[88])/4 - 
       (14*t[89])/3 + (2*t[97])/3 + 56*t[98] - 80*t[99] - 255*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((31*t[1])/6 + (41*t[2])/3 - (1771*t[3])/24 + 
       (647*t[4])/12 - (6983*t[5])/48 - (34*t[6])/3 + (2831*t[7])/24 - 
       (745*t[8])/24 + (3201*t[9])/16 - (551*t[10])/8 + (2731*t[11])/24 + 
       (5443*t[12])/48 + (32893*t[13])/216 + (10939*t[14])/144 - 
       (2867*t[15])/96 + (14*t[18])/3 + 2*t[19] - (2*t[20])/3 + 
       (26*t[21])/3 - (34*t[22])/3 - (26*t[23])/3 - 5*t[24] + 24*t[25] - 
       (50*t[26])/3 - (64*t[27])/3 - 4*t[28] + (2*t[29])/3 + 4*t[30] - 
       (14*t[31])/3 + (10*t[32])/3 + (43*t[33])/3 + (44*t[34])/3 - 2*t[35] - 
       4*t[37] - (22*t[38])/3 - (61*t[39])/3 - (20*t[40])/3 + (17*t[41])/6 - 
       t[42]/2 - (31*t[43])/4 + (22*t[44])/3 - (63*t[45])/4 - (61*t[46])/3 + 
       (245*t[47])/6 - (129*t[48])/4 + 9*t[49] + (269*t[50])/12 + 3*t[51] - 
       (229*t[52])/12 - 9*t[53] - (173*t[54])/12 + (10*t[58])/3 + 
       (380*t[60])/3 + (2761*t[61])/12 - (2351*t[62])/8 - (2435*t[63])/24 - 
       (451*t[64])/24 + (2971*t[65])/36 - (1711*t[66])/4 - 2*t[69] - 
       (28*t[70])/3 + (28*t[71])/3 - (8*t[72])/3 + 4*t[73] - (182*t[74])/3 - 
       10*t[75] + (34*t[76])/3 - (22*t[77])/3 - (40*t[78])/3 - 8*t[79] + 
       68*t[80] + (113*t[81])/3 - (247*t[82])/3 + 76*t[83] + 2*t[84] + 
       (83*t[85])/6 + (1639*t[86])/6 - (55*t[87])/6 - (55*t[88])/12 + 
       (34*t[89])/3 + (2*t[97])/3 + 56*t[98] - 80*t[99] - 223*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (-t[1] + 2*t[2] - (73*t[3])/2 + (517*t[4])/6 - (473*t[5])/4 - 
       (13*t[6])/3 + (65*t[7])/2 - (3*t[8])/2 + (955*t[9])/12 - 
       (101*t[10])/12 + (691*t[11])/6 + (44*t[12])/3 + (170*t[13])/3 + 
       (1391*t[14])/24 - (101*t[15])/24 - 4*t[19] - 4*t[21] + 4*t[23] - 
       (32*t[24])/3 + (4*t[25])/3 + (8*t[26])/3 - (4*t[27])/3 + 8*t[28] - 
       4*t[30] - 8*t[31] - (8*t[33])/3 - 4*t[35] - 4*t[37] - 4*t[38] + 
       (20*t[39])/3 + t[43] + 7*t[45] - 4*t[46] - 6*t[47] - (29*t[48])/3 + 
       (95*t[49])/12 + (31*t[50])/3 + (17*t[51])/24 - (31*t[52])/3 - 
       (95*t[53])/12 - (133*t[54])/6 + 10*t[59] + (469*t[60])/6 + 
       (1417*t[61])/6 - (1813*t[62])/12 + t[63]/12 - (3437*t[64])/12 - 
       (223*t[65])/18 - (5141*t[66])/18 + 2*t[69] + 6*t[72] - 16*t[74] - 
       8*t[75] + 2*t[77] - 8*t[78] - 16*t[79] - 12*t[80] + 16*t[81] - 
       (68*t[82])/3 + 39*t[83] + (17*t[84])/2 + (61*t[85])/6 + 86*t[86] - 
       (91*t[87])/6 - (91*t[88])/12 - (217*t[89])/12 - 16*t[99] - 214*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      (-7*t[1] - 3*t[2] - (251*t[3])/8 - (241*t[4])/6 - (555*t[5])/16 - 
       (337*t[6])/24 + (823*t[7])/8 - (397*t[8])/8 + (5441*t[9])/48 + 
       (1309*t[10])/24 + (1949*t[11])/24 + (4297*t[12])/48 + 
       (7909*t[13])/144 + (1101*t[14])/16 - (4267*t[15])/288 + 2*t[18] - 
       2*t[20] - 16*t[22] + (11*t[24])/3 + (8*t[25])/3 - (11*t[26])/3 - 
       (32*t[27])/3 - 4*t[28] - 6*t[29] + 4*t[30] + 6*t[31] - 2*t[32] + 
       (23*t[33])/3 + 12*t[34] - 2*t[35] - 10*t[36] - 5*t[38] - 
       (29*t[39])/3 + t[40] + 5*t[41] - 5*t[42] + 4*t[43] + 6*t[44] - 
       (3*t[45])/4 - 14*t[46] + (25*t[47])/2 - (143*t[48])/6 + (13*t[49])/3 + 
       (13*t[50])/6 + (59*t[51])/12 - (97*t[52])/6 - (13*t[53])/3 + 
       (103*t[54])/6 + t[58] + (41*t[59])/2 + (259*t[60])/3 + 
       (4783*t[61])/12 - (6097*t[62])/24 + (4777*t[63])/24 - 
       (3365*t[64])/24 + (2741*t[65])/36 - (10385*t[66])/36 + 8*t[69] + 
       4*t[70] - 4*t[71] + 10*t[72] - 28*t[73] - 26*t[74] + 28*t[75] + 
       16*t[76] + 17*t[77] - 8*t[78] + 31*t[80] + 23*t[81] + (8*t[82])/3 + 
       30*t[83] + 5*t[84] + (95*t[85])/6 - (5*t[86])/2 - (269*t[87])/6 - 
       (269*t[88])/12 - (247*t[89])/6 + 3*t[97] + 48*t[98] - 72*t[99] - 
       204*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((53*t[1])/12 - (125*t[2])/12 - (409*t[3])/24 - 
       (427*t[4])/24 - (19*t[5])/48 - (329*t[6])/48 + (161*t[7])/4 - 
       (163*t[8])/6 + (2765*t[9])/48 + (3347*t[10])/48 + (1567*t[11])/48 + 
       (92*t[12])/3 - (697*t[13])/216 + (28003*t[14])/288 + (1841*t[15])/96 - 
       2*t[18] - 2*t[20] - 2*t[21] - 4*t[22] + 2*t[23] - (101*t[24])/6 - 
       2*t[25] + (13*t[26])/6 + 10*t[27] + 6*t[29] - 6*t[30] - 6*t[31] + 
       6*t[32] - (61*t[33])/6 + 14*t[34] + 2*t[35] - 10*t[36] - 
       (25*t[38])/6 + (61*t[39])/6 - 8*t[40] - (17*t[41])/12 + 
       (17*t[42])/12 + (29*t[43])/24 + (19*t[44])/6 + (77*t[45])/6 - 
       (107*t[46])/12 - (83*t[47])/3 - (1117*t[48])/48 + (541*t[49])/48 - 
       (373*t[50])/48 - (919*t[51])/96 + (565*t[52])/48 - (541*t[53])/48 + 
       t[54]/16 - 5*t[58] + (10*t[59])/3 + (323*t[60])/4 + (887*t[61])/6 - 
       (1237*t[62])/12 + (1825*t[63])/12 - (347*t[64])/3 - (1439*t[65])/36 - 
       (4501*t[66])/36 - 6*t[69] - 6*t[70] + 6*t[71] + 14*t[72] + 4*t[73] - 
       (77*t[74])/3 - 4*t[75] + 21*t[76] + 6*t[77] - (43*t[78])/3 + 
       (107*t[80])/3 + (143*t[81])/6 + (31*t[82])/6 - 18*t[83] + 
       (13*t[84])/3 + (149*t[85])/4 + (5*t[86])/2 - (1435*t[87])/12 - 
       (1435*t[88])/24 - (781*t[89])/8 + 4*t[97] + 144*t[98] - 158*t[99] - 
       178*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((-101*t[1])/12 - (13*t[2])/12 - (217*t[3])/24 + (1087*t[4])/24 - 
       (3907*t[5])/48 + (695*t[6])/48 + (827*t[7])/8 - (1475*t[8])/24 + 
       (2769*t[9])/16 - (687*t[10])/16 + (819*t[11])/16 + (687*t[12])/8 + 
       (17401*t[13])/432 + (5143*t[14])/96 - (13295*t[15])/288 + 
       (10*t[18])/3 - (4*t[20])/3 + (10*t[21])/3 - (44*t[22])/3 - 
       (10*t[23])/3 + (73*t[24])/6 - (4*t[25])/3 - t[26]/2 - (22*t[27])/3 + 
       (4*t[29])/3 - 2*t[30] + (26*t[31])/3 - (4*t[32])/3 + (17*t[33])/6 + 
       (76*t[34])/3 - (31*t[38])/6 - (17*t[39])/6 - (13*t[40])/3 - 
       (11*t[41])/12 + (31*t[42])/12 - (56*t[43])/3 - (11*t[44])/6 - 
       (353*t[45])/12 - (157*t[46])/12 + (107*t[47])/2 - (1027*t[48])/48 + 
       (575*t[49])/48 + (565*t[50])/48 + (97*t[51])/32 - (725*t[52])/48 - 
       (575*t[53])/48 - (283*t[54])/48 + (8*t[58])/3 + (7*t[59])/2 + 
       (489*t[60])/4 + (445*t[61])/2 - (875*t[62])/6 + (419*t[63])/6 - 
       (1273*t[64])/6 + (1895*t[65])/36 - (7511*t[66])/36 + 8*t[69] + 
       (4*t[70])/3 - (4*t[71])/3 + (26*t[72])/3 - 25*t[74] - 2*t[75] + 
       (71*t[76])/3 - (2*t[77])/3 - (32*t[78])/3 + (73*t[80])/3 + 
       (145*t[81])/6 - (5*t[82])/6 + (26*t[83])/3 + (25*t[84])/6 + 
       (469*t[85])/12 + (85*t[86])/6 - (1213*t[87])/12 - (1189*t[88])/24 - 
       (315*t[89])/8 + (13*t[97])/3 + 136*t[98] - 134*t[99] - 169*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-25*t[1] + 156*t[2] - (119*t[3])/2 - 17*t[4] - (227*t[5])/4 - 
       (459*t[6])/8 + 113*t[7] - 107*t[8] + 147*t[9] + (333*t[10])/2 - 
       (221*t[11])/8 + (799*t[12])/4 + (1358*t[13])/9 + (661*t[14])/8 - 
       (283*t[15])/6 - 24*t[24] + 36*t[25] - 20*t[26] - 24*t[28] + 3*t[29] - 
       6*t[31] + 24*t[32] - 6*t[35] + 30*t[36] + 20*t[37] - 16*t[38] - 
       24*t[39] - 30*t[40] + 6*t[43] + 24*t[44] + 30*t[45] - 61*t[46] - 
       36*t[47] - (381*t[48])/8 - 49*t[49] - (253*t[50])/8 - (41*t[51])/4 + 
       (253*t[52])/8 + 49*t[53] + (409*t[54])/8 + 26*t[59] + (727*t[60])/4 + 
       (755*t[61])/4 - (375*t[62])/8 - (409*t[63])/8 - (401*t[64])/8 + 
       (297*t[65])/4 - (1497*t[66])/4 + 16*t[69] - 26*t[70] + 26*t[71] + 
       24*t[73] - 28*t[74] - 28*t[75] + 6*t[77] + 22*t[78] + 8*t[79] - 
       14*t[80] + 27*t[81] - 27*t[82] - 30*t[83] + (205*t[84])/4 + 
       (131*t[85])/4 - 32*t[86] - (377*t[87])/4 - (377*t[88])/8 + 
       (397*t[89])/8 - 84*t[99] - 168*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-t[1] + 29*t[2] - (55*t[3])/2 + (93*t[4])/2 - (205*t[5])/4 + 
       (67*t[6])/2 + 52*t[7] - 21*t[8] + (281*t[9])/4 + (45*t[10])/4 + 
       (147*t[11])/2 - 7*t[12] + (2507*t[13])/36 + (1667*t[14])/24 + 
       (383*t[15])/24 + 4*t[19] + 2*t[21] - 2*t[23] - 2*t[24] + 2*t[26] + 
       4*t[28] - 4*t[30] + 4*t[31] - 2*t[33] - 4*t[35] - 4*t[37] - 2*t[38] + 
       6*t[39] - 2*t[40] + (13*t[43])/2 + 2*t[44] + 4*t[45] + t[46] - 
       (33*t[48])/2 + (27*t[49])/4 + (17*t[50])/2 + (51*t[51])/8 - 
       (17*t[52])/2 - (27*t[53])/4 - 12*t[54] + 6*t[59] + (105*t[60])/2 + 
       (365*t[61])/2 - (573*t[62])/4 - (79*t[63])/4 - (1105*t[64])/4 - 
       (67*t[65])/2 - (1475*t[66])/6 + 2*t[69] + 6*t[72] + 4*t[74] - 
       8*t[75] + 2*t[77] - 4*t[78] - 16*t[79] - 20*t[80] + 6*t[81] - 
       22*t[82] + 39*t[83] + (9*t[84])/2 + (17*t[85])/2 + 62*t[86] - 
       (19*t[87])/2 - (19*t[88])/4 - (57*t[89])/4 + 8*t[99] - 166*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((23*t[1])/24 - (739*t[2])/24 - (479*t[3])/96 + (5219*t[4])/144 - 
       (4403*t[5])/192 + (317*t[6])/36 - (619*t[7])/96 - (4139*t[8])/96 + 
       (5557*t[9])/576 - (4181*t[10])/144 + (1697*t[11])/144 + 
       (12947*t[12])/576 + (30751*t[13])/1728 - (5875*t[14])/288 - 
       (19177*t[15])/1152 + (5*t[18])/6 - (5*t[20])/6 + (5*t[21])/6 - 
       (23*t[22])/3 - (5*t[23])/6 - (211*t[24])/18 - (31*t[25])/18 + 
       (43*t[26])/18 - (89*t[27])/18 + (17*t[29])/6 + 2*t[30] - 
       (17*t[31])/6 - (4*t[32])/3 + (35*t[33])/18 + (35*t[34])/6 - t[36]/2 - 
       (47*t[38])/12 - (35*t[39])/18 + (11*t[40])/3 - (67*t[41])/24 + 
       (77*t[42])/24 - (59*t[43])/48 - (7*t[44])/12 - (557*t[45])/48 - 
       (191*t[46])/24 + (59*t[47])/8 - (625*t[48])/288 + (2629*t[49])/288 - 
       (265*t[50])/288 + (1609*t[51])/576 - (839*t[52])/288 - 
       (2629*t[53])/288 - (1609*t[54])/288 + (17*t[58])/12 + (19*t[59])/4 + 
       (715*t[60])/18 + (7223*t[61])/144 + (97*t[62])/288 + 
       (16031*t[63])/288 - (4309*t[64])/288 + (13189*t[65])/432 - 
       (13159*t[66])/432 - (5*t[70])/3 + (5*t[71])/3 + (26*t[72])/3 - t[73] - 
       32*t[74] + t[75] + (29*t[76])/3 - (55*t[77])/6 - (35*t[78])/3 + 
       (295*t[80])/12 + (115*t[81])/6 + (47*t[82])/18 + (14*t[83])/3 - 
       (11*t[84])/6 + (155*t[85])/36 + (691*t[86])/24 - (569*t[87])/36 - 
       (569*t[88])/72 - (533*t[89])/18 + (10*t[97])/3 + 58*t[98] - 
       103*t[99] - 141*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((14*t[1])/3 + (91*t[2])/4 - (1211*t[3])/48 - 
       (1243*t[4])/16 + (449*t[5])/12 - (3605*t[6])/96 + (1193*t[7])/16 + 
       (1005*t[8])/16 + (1333*t[9])/24 + (2827*t[10])/32 + (4121*t[11])/32 + 
       (3707*t[12])/96 + (35707*t[13])/864 + (73261*t[14])/576 + 
       (179*t[15])/6 + (2*t[18])/3 + (2*t[20])/3 - (4*t[21])/3 - 
       (8*t[22])/3 + (4*t[23])/3 + (10*t[24])/3 + (17*t[25])/2 - 
       (7*t[26])/2 + (47*t[27])/6 - t[28] + (55*t[29])/12 - (9*t[30])/2 - 
       13*t[31] + (11*t[32])/3 - 12*t[33] + (139*t[34])/6 - 4*t[35] + 
       4*t[36] + 7*t[37] - (41*t[38])/6 + 4*t[39] - (21*t[40])/2 + 
       (17*t[41])/3 - (16*t[42])/3 + (29*t[43])/48 - (199*t[44])/24 - 
       t[45]/24 - (15*t[46])/4 - (27*t[47])/4 - (199*t[48])/32 + 
       (1489*t[49])/96 + (167*t[50])/96 - (2179*t[51])/192 + 
       (1097*t[52])/96 - (1441*t[53])/96 + (167*t[54])/96 + t[57] - 
       (17*t[58])/6 + 9*t[59] + (89*t[60])/3 + (3401*t[61])/12 - 
       (2625*t[62])/8 + (1405*t[63])/8 + (629*t[64])/8 - (103*t[65])/36 - 
       (10373*t[66])/36 - 5*t[69] - (22*t[70])/3 + (22*t[71])/3 + 
       (34*t[72])/3 - 16*t[73] + 15*t[74] - 7*t[75] + (52*t[76])/3 + 
       (50*t[77])/3 - (49*t[78])/3 + 16*t[79] + (248*t[80])/3 + 
       (10*t[81])/3 + (71*t[82])/3 + (35*t[83])/6 - (31*t[84])/6 + 
       (113*t[85])/6 + (113*t[86])/6 - (359*t[87])/6 - (359*t[88])/12 - 
       (443*t[89])/6 + (11*t[97])/3 + 88*t[98] - 70*t[99] - 128*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((-31*t[1])/8 - (1597*t[2])/24 - (257*t[3])/6 + 
       (3191*t[4])/48 - (351*t[5])/4 + (3943*t[6])/96 + (187*t[7])/48 - 
       (351*t[8])/16 + (80*t[9])/3 - (161*t[10])/24 + (1011*t[11])/16 + 
       (313*t[12])/6 + (56857*t[13])/576 - (8779*t[14])/288 - 17*t[15] - 
       (29*t[24])/3 + (70*t[25])/3 - (40*t[26])/3 - (70*t[27])/3 - t[31]/2 + 
       (43*t[33])/3 - 9*t[34] - 6*t[35] - 7*t[38] - (43*t[39])/3 - t[40] + 
       (115*t[41])/24 - (115*t[42])/24 + (107*t[43])/24 + 9*t[44] + 
       (61*t[45])/12 - (85*t[46])/6 + (23*t[47])/6 - (37*t[48])/6 + 
       (23*t[49])/16 + (31*t[50])/6 + (991*t[51])/96 - (25*t[52])/6 - 
       (23*t[53])/16 - (305*t[54])/24 + t[58] + (53*t[59])/4 + 63*t[60] + 
       (395*t[61])/3 - (467*t[62])/8 - (665*t[63])/24 - (283*t[64])/6 + 
       (3283*t[65])/72 - (14279*t[66])/72 - (170*t[74])/3 - 14*t[76] - 
       2*t[77] - 10*t[78] + 14*t[79] + (217*t[80])/12 + (82*t[81])/3 - 
       64*t[82] + (74*t[83])/3 + (11*t[84])/3 + 4*t[85] + (725*t[86])/6 + 
       (98*t[87])/3 + (49*t[88])/3 + (43*t[89])/6 - 2*t[97] - 96*t[98] - 
       12*t[99] - 112*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*(-2*t[1] - 34*t[2] - 28*t[3] + (73*t[4])/3 - 
       39*t[5] + (191*t[6])/6 + 18*t[7] - 46*t[8] + (191*t[9])/3 - 
       (29*t[10])/6 + (197*t[11])/6 + (275*t[12])/6 + (332*t[13])/9 + 
       (47*t[14])/12 - 11*t[15] - (52*t[24])/3 + (8*t[25])/3 + (4*t[26])/3 - 
       (8*t[27])/3 - (4*t[33])/3 - 4*t[38] + (4*t[39])/3 + 2*t[41] - 
       2*t[42] + 2*t[43] + 4*t[44] - 4*t[45] - 10*t[46] + 8*t[47] - 
       (65*t[48])/6 - (7*t[49])/6 + (7*t[50])/6 + (77*t[51])/12 - 
       (7*t[52])/6 + (7*t[53])/6 - (17*t[54])/6 + 8*t[59] + (178*t[60])/3 + 
       (358*t[61])/3 - (59*t[62])/3 + (131*t[63])/3 - (43*t[64])/3 + 
       (236*t[65])/9 - (956*t[66])/9 - 40*t[74] - 8*t[78] + 16*t[80] + 
       20*t[81] - (76*t[82])/3 + 8*t[84] + (34*t[85])/3 + 48*t[86] - 
       (58*t[87])/3 - (29*t[88])/3 - (41*t[89])/3 - 48*t[99] - 96*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-2*t[1] - 32*t[2] - 30*t[3] + 29*t[4] - 43*t[5] + (61*t[6])/2 + 
       22*t[7] - 64*t[8] + 75*t[9] - (3*t[10])/2 + (59*t[11])/2 + 
       (93*t[12])/2 + (134*t[13])/9 - (55*t[14])/4 - (80*t[15])/3 - 
       40*t[24] - 20*t[25] + 24*t[26] + 20*t[27] - 24*t[33] - 4*t[38] + 
       24*t[39] + 2*t[41] - 2*t[42] + 2*t[43] + 4*t[44] - 4*t[45] - 
       10*t[46] + 8*t[47] - (23*t[48])/2 - (13*t[49])/2 + (9*t[50])/2 + 
       (27*t[51])/4 - (9*t[52])/2 + (13*t[53])/2 + t[54]/2 + 8*t[59] + 
       54*t[60] + 106*t[61] - 17*t[62] + 41*t[63] - 21*t[64] + 44*t[65] - 
       (244*t[66])/3 - 40*t[74] - 8*t[78] + 16*t[80] + 20*t[81] + 12*t[82] + 
       8*t[84] + 6*t[85] + 48*t[86] - 14*t[87] - 7*t[88] - 7*t[89] - 
       48*t[99] - 96*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*Omega2[u, v, w]*
      (-2*t[1] - (35*t[2])/2 - 25*t[3] + (103*t[4])/6 - 36*t[5] + 
       (203*t[6])/12 + 20*t[7] - 34*t[8] + (103*t[9])/3 + (31*t[10])/12 + 
       (311*t[11])/12 + (473*t[12])/12 + (1349*t[13])/36 - (29*t[14])/24 - 
       (163*t[15])/12 - (38*t[24])/3 + (16*t[25])/3 - (4*t[26])/3 - 
       (16*t[27])/3 - 2*t[28] + 2*t[32] + (4*t[33])/3 - 2*t[35] - 4*t[38] - 
       (10*t[39])/3 - 2*t[40] + 2*t[41] - 2*t[42] + 3*t[43] + 6*t[44] - 
       2*t[45] - 9*t[46] + 6*t[47] - (137*t[48])/12 - (31*t[49])/12 + 
       (43*t[50])/12 + (65*t[51])/24 - (43*t[52])/12 + (31*t[53])/12 - 
       (29*t[54])/12 + 8*t[59] + (134*t[60])/3 + (290*t[61])/3 - 
       (91*t[62])/3 + (103*t[63])/3 - (131*t[64])/3 + (154*t[65])/9 - 
       (820*t[66])/9 - 28*t[74] - 8*t[78] + 16*t[80] + 16*t[81] - 
       (56*t[82])/3 + 6*t[83] + 4*t[84] + (20*t[85])/3 + 48*t[86] - 
       (20*t[87])/3 - (10*t[88])/3 - (31*t[89])/3 - 48*t[99] - 84*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-3*t[1])/2 - (57*t[2])/2 - 18*t[3] + (251*t[4])/12 - (105*t[5])/4 + 
       (541*t[6])/24 + (15*t[7])/2 - (15*t[8])/2 + (289*t[9])/12 - 
       (127*t[10])/24 + (703*t[11])/24 + (721*t[12])/24 + 29*t[13] - 
       (9*t[14])/16 - (39*t[15])/4 - (35*t[24])/3 + (10*t[25])/3 - t[26]/3 - 
       (10*t[27])/3 + t[33]/3 - 3*t[38] - t[39]/3 + (3*t[41])/2 - 
       (3*t[42])/2 + (3*t[43])/2 + 3*t[44] - 3*t[45] - (15*t[46])/2 + 
       6*t[47] - (91*t[48])/24 + (91*t[49])/24 - (19*t[50])/24 + 
       (127*t[51])/48 + (19*t[52])/24 - (91*t[53])/24 - (91*t[54])/24 + 
       6*t[59] + (271*t[60])/6 + (523*t[61])/6 - (181*t[62])/12 + 
       (397*t[63])/12 - (143*t[64])/12 + (205*t[65])/9 - (697*t[66])/9 - 
       30*t[74] - 6*t[78] + 12*t[80] + 15*t[81] - (47*t[82])/3 + 6*t[84] + 
       (55*t[85])/6 + 36*t[86] - (91*t[87])/6 - (91*t[88])/12 - 
       (109*t[89])/12 - 36*t[99] - 72*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*((83*t[1])/12 + (235*t[2])/12 + 
       (61*t[3])/3 - (2459*t[4])/24 - (359*t[5])/24 + (1211*t[6])/48 - 
       (177*t[7])/4 - (743*t[8])/12 + (101*t[9])/24 + (667*t[10])/48 - 
       (7495*t[11])/48 - (363*t[12])/16 - (14123*t[13])/108 - 
       (18371*t[14])/288 + (37*t[15])/9 - 8*t[18] - 2*t[19] - 10*t[21] - 
       4*t[22] + 10*t[23] - (103*t[24])/6 - (46*t[25])/3 + (15*t[26])/2 + 
       (16*t[27])/3 + 4*t[29] + 10*t[32] - (29*t[33])/2 - 9*t[34] + 4*t[36] - 
       6*t[37] + (35*t[38])/6 + (27*t[39])/2 - 12*t[40] - (95*t[41])/12 + 
       (47*t[42])/12 + (151*t[43])/12 + (7*t[44])/6 + (29*t[45])/6 + 
       (61*t[46])/12 - (104*t[47])/3 + (331*t[48])/48 - (1015*t[49])/48 + 
       (739*t[50])/48 + (175*t[51])/32 + (653*t[52])/48 + (2263*t[53])/48 + 
       (2003*t[54])/48 - 3*t[58] - (37*t[59])/6 - (2699*t[60])/12 - 
       (2839*t[61])/12 + (1987*t[62])/8 + (1573*t[63])/8 - (47*t[64])/8 - 
       (641*t[65])/6 + (627*t[66])/2 + 8*t[70] - 8*t[71] + 6*t[72] - 
       (23*t[74])/3 - 18*t[76] - 2*t[77] + (8*t[78])/3 - (148*t[80])/3 - 
       (67*t[81])/6 + (107*t[82])/6 - 6*t[83] - (89*t[84])/3 - 
       (131*t[85])/12 - 64*t[86] + (1087*t[87])/12 + (175*t[88])/24 - 
       (1975*t[89])/24 + 8*t[95] + 8*t[96] - 7*t[97] - 48*t[98] + 34*t[99] - 
       64*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
      ((-167*t[1])/24 - (21*t[2])/2 + (27*t[3])/16 - (191*t[4])/48 - 
       69*t[5] - (3679*t[6])/96 - (617*t[7])/32 - (3637*t[8])/32 + 
       (32*t[9])/3 + (577*t[10])/96 - (343*t[11])/96 + (1685*t[12])/24 + 
       (727*t[13])/72 - (265*t[14])/6 - (20431*t[15])/576 - 2*t[18] - 
       12*t[21] + 8*t[22] + 12*t[23] - (28*t[24])/3 + (50*t[25])/3 - 
       (23*t[26])/3 - (14*t[27])/3 - 4*t[28] - 4*t[29] + t[30] - 
       (3*t[31])/4 + 2*t[32] + (8*t[33])/3 - 14*t[34] + 12*t[35] - 4*t[36] - 
       6*t[38] - (32*t[39])/3 + 10*t[40] - (9*t[41])/2 + (7*t[42])/2 - 
       (209*t[43])/32 + 10*t[44] + (69*t[45])/4 - (99*t[46])/8 + 
       (11*t[47])/2 - (1727*t[48])/96 - (229*t[49])/24 - (1127*t[50])/96 + 
       (517*t[51])/96 + (551*t[52])/96 + (229*t[53])/24 + (943*t[54])/96 + 
       4*t[57] + (263*t[59])/24 + (211*t[60])/48 + (2051*t[61])/24 - 
       (4409*t[62])/48 + (1655*t[63])/48 + (959*t[64])/48 + (617*t[65])/36 - 
       (3719*t[66])/36 + 2*t[69] + 4*t[70] - 4*t[71] + 2*t[73] - 
       (111*t[74])/4 - 26*t[75] - 12*t[76] - 14*t[78] + 26*t[79] - 10*t[80] + 
       (93*t[81])/8 - (839*t[82])/24 + (29*t[83])/4 - (5*t[84])/8 + 
       (415*t[85])/48 + (531*t[86])/8 + (1781*t[87])/48 + (1781*t[88])/96 - 
       (1201*t[89])/96 - 2*t[97] - 64*t[98] + 12*t[99] - (125*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-5*t[1])/2 - (103*t[2])/2 - (439*t[3])/16 + (2425*t[4])/48 - 
       (119*t[5])/8 + (4469*t[6])/48 + (67*t[7])/8 + (1347*t[8])/16 + 
       (1531*t[9])/96 + (4639*t[10])/96 + (3091*t[11])/48 + (53*t[12])/96 + 
       (12911*t[13])/288 - (1595*t[14])/192 - (445*t[15])/96 - 
       (31*t[18])/12 - 2*t[21] + t[22] + 2*t[23] - (37*t[24])/3 + 
       (2*t[25])/3 + t[26]/3 - (38*t[27])/3 + 2*t[28] - 4*t[30] - 9*t[31] + 
       2*t[32] - (10*t[33])/3 - 3*t[34] - 12*t[35] + 6*t[36] + 8*t[37] - 
       (8*t[39])/3 - 6*t[40] + (19*t[41])/4 - (155*t[42])/24 - 
       (91*t[43])/16 + 3*t[44] - (83*t[45])/16 - (27*t[46])/2 + 
       (153*t[47])/8 + (181*t[48])/24 + (2051*t[49])/96 + (409*t[50])/24 + 
       (1541*t[51])/192 - (121*t[52])/24 - (1955*t[53])/96 - 
       (1453*t[54])/48 + 2*t[58] + (263*t[59])/24 + (211*t[60])/48 + 
       (2051*t[61])/24 - (4409*t[62])/48 + (1655*t[63])/48 + (959*t[64])/48 + 
       (617*t[65])/36 - (3719*t[66])/36 + 2*t[69] + 4*t[70] - 4*t[71] + 
       2*t[73] - (111*t[74])/4 - 26*t[75] - 12*t[76] - 14*t[78] + 26*t[79] - 
       10*t[80] + (93*t[81])/8 - (839*t[82])/24 + (29*t[83])/4 - 
       (5*t[84])/8 + (415*t[85])/48 + (531*t[86])/8 + (1781*t[87])/48 + 
       (1781*t[88])/96 - (1201*t[89])/96 - 2*t[97] - 64*t[98] + 12*t[99] - 
       (125*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-47*t[1])/8 - (143*t[2])/8 - 15*t[3] - 
       (1213*t[4])/48 - (99*t[5])/4 + (3115*t[6])/96 + (621*t[7])/16 + 
       (557*t[8])/16 + (631*t[9])/12 - (2*t[10])/3 + (3839*t[11])/48 + 
       (1261*t[12])/24 + (32089*t[13])/576 + (1573*t[14])/96 - 
       (169*t[15])/12 + 2*t[21] - 2*t[23] - (20*t[24])/3 + (10*t[25])/3 - 
       (4*t[26])/3 - (10*t[27])/3 + (7*t[31])/2 + (4*t[33])/3 - 2*t[38] - 
       (4*t[39])/3 + t[41]/8 - t[42]/8 - (21*t[43])/8 + 2*t[44] + 
       (25*t[45])/4 - 6*t[46] + (41*t[47])/2 - (127*t[48])/24 - 
       (73*t[49])/48 - (199*t[50])/24 + (425*t[51])/96 + (199*t[52])/24 + 
       (73*t[53])/48 - (2*t[54])/3 - (7*t[59])/4 + (295*t[60])/6 + 
       (1093*t[61])/6 - (3671*t[62])/24 - (283*t[63])/24 + (1051*t[64])/12 + 
       (6347*t[65])/72 - (15047*t[66])/72 - 4*t[69] - 24*t[74] - 4*t[78] + 
       14*t[79] + (75*t[80])/4 + 19*t[81] - (65*t[82])/3 - 2*t[83] + 
       3*t[84] + (139*t[85])/6 + (211*t[86])/2 - (127*t[87])/6 - 
       (127*t[88])/12 - (61*t[89])/12 - 24*t[99] - 54*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-107*t[1])/24 + (19*t[2])/24 - (1033*t[3])/96 - (627*t[4])/16 + 
       (3095*t[5])/192 - (949*t[6])/96 - (61*t[7])/16 + (505*t[8])/24 - 
       (1973*t[9])/192 + (1073*t[10])/32 - (23*t[11])/2 + (3331*t[12])/192 + 
       (59*t[13])/144 + (1931*t[14])/96 + (28295*t[15])/1152 + (5*t[18])/6 + 
       (17*t[20])/6 + (5*t[21])/6 - (10*t[22])/3 - (5*t[23])/6 + 
       (85*t[24])/6 + (55*t[25])/6 - (53*t[26])/6 - (5*t[27])/2 + 2*t[28] - 
       (17*t[29])/6 - 2*t[30] + (16*t[32])/3 + (29*t[33])/6 + (35*t[34])/6 - 
       t[36]/2 - t[38]/4 - (29*t[39])/6 - 3*t[40] + (21*t[41])/8 - 
       (53*t[42])/24 + (87*t[43])/32 + (7*t[44])/4 - (49*t[45])/24 + 
       (55*t[46])/24 - (73*t[47])/12 - (303*t[48])/32 - (571*t[49])/96 - 
       (149*t[50])/96 + (449*t[51])/192 + (37*t[52])/96 + (571*t[53])/96 - 
       (13*t[54])/96 - (23*t[58])/12 - (31*t[59])/12 - (22*t[60])/3 - 
       (2315*t[61])/48 + (1411*t[62])/96 + (1853*t[63])/96 + (353*t[64])/96 - 
       (1177*t[65])/144 + (6115*t[66])/144 - (5*t[70])/3 + (5*t[71])/3 + 
       (26*t[72])/3 - t[73] + (14*t[74])/3 + t[75] + (29*t[76])/3 - 
       (55*t[77])/6 - (13*t[78])/3 + (119*t[80])/12 + (5*t[81])/6 + 
       (23*t[82])/6 + (14*t[83])/3 - (55*t[84])/6 + (5*t[85])/4 - 
       (365*t[86])/24 - (65*t[87])/12 - (65*t[88])/24 - (271*t[89])/12 + 
       (10*t[97])/3 + 58*t[98] - 59*t[99] - 53*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (-t[1] - 25*t[2] - 6*t[3] + (97*t[4])/6 - (23*t[5])/2 + (167*t[6])/12 - 
       7*t[7] + 49*t[8] - (169*t[9])/6 - (101*t[10])/12 + (365*t[11])/12 + 
       (155*t[12])/12 + (310*t[13])/9 + (103*t[14])/24 - t[15]/6 + 
       (22*t[24])/3 + (52*t[25])/3 - (46*t[26])/3 - (52*t[27])/3 + 
       (46*t[33])/3 - 2*t[38] - (46*t[39])/3 + t[41] - t[42] + t[43] + 
       2*t[44] - 2*t[45] - 5*t[46] + 4*t[47] + (55*t[48])/12 + 
       (161*t[49])/12 - (65*t[50])/12 - (43*t[51])/24 + (65*t[52])/12 - 
       (161*t[53])/12 - (89*t[54])/12 + 4*t[59] + (101*t[60])/3 + 
       (197*t[61])/3 - (71*t[62])/6 + (143*t[63])/6 - (25*t[64])/6 + 
       (46*t[65])/9 - (598*t[66])/9 - 20*t[74] - 4*t[78] + 8*t[80] + 
       10*t[81] - (74*t[82])/3 + 4*t[84] + (29*t[85])/3 + 24*t[86] - 
       (41*t[87])/3 - (41*t[88])/6 - (59*t[89])/6 - 24*t[99] - 48*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-t[1] - 19*t[2] - 12*t[3] + (31*t[4])/2 - (39*t[5])/2 + (61*t[6])/4 + 
       5*t[7] - 5*t[8] + (33*t[9])/2 - (15*t[10])/4 + (87*t[11])/4 + 
       (81*t[12])/4 + (160*t[13])/9 - (49*t[14])/24 - (17*t[15])/2 - 
       10*t[24] + 2*t[26] - 2*t[33] - 2*t[38] + 2*t[39] + t[41] - t[42] + 
       t[43] + 2*t[44] - 2*t[45] - 5*t[46] + 4*t[47] - (11*t[48])/4 + 
       (11*t[49])/4 - (3*t[50])/4 + (15*t[51])/8 + (3*t[52])/4 - 
       (11*t[53])/4 - (11*t[54])/4 + 4*t[59] + 31*t[60] + 59*t[61] - 
       (21*t[62])/2 + (45*t[63])/2 - (15*t[64])/2 + 14*t[65] - 54*t[66] - 
       20*t[74] - 4*t[78] + 8*t[80] + 10*t[81] - 6*t[82] + 4*t[84] + 
       7*t[85] + 24*t[86] - 11*t[87] - (11*t[88])/2 - (13*t[89])/2 - 
       24*t[99] - 48*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - u]*(-t[1] - 19*t[2] - 12*t[3] + (65*t[4])/6 - 
       (27*t[5])/2 + (175*t[6])/12 + 5*t[7] - 5*t[8] + (91*t[9])/6 - 
       (37*t[10])/12 + (181*t[11])/12 + (235*t[12])/12 + (202*t[13])/9 + 
       (71*t[14])/24 - (5*t[15])/2 - (10*t[24])/3 + (20*t[25])/3 - 
       (14*t[26])/3 - (20*t[27])/3 + (14*t[33])/3 - 2*t[38] - (14*t[39])/3 + 
       t[41] - t[42] + t[43] + 2*t[44] - 2*t[45] - 5*t[46] + 4*t[47] - 
       (25*t[48])/12 + (25*t[49])/12 - t[50]/12 + (37*t[51])/24 + t[52]/12 - 
       (25*t[53])/12 - (25*t[54])/12 + 4*t[59] + (85*t[60])/3 + 
       (169*t[61])/3 - (55*t[62])/6 + (127*t[63])/6 - (53*t[64])/6 + 
       (158*t[65])/9 - (422*t[66])/9 - 20*t[74] - 4*t[78] + 8*t[80] + 
       10*t[81] - (58*t[82])/3 + 4*t[84] + (13*t[85])/3 + 24*t[86] - 
       (25*t[87])/3 - (25*t[88])/6 - (31*t[89])/6 - 24*t[99] - 48*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      (-t[1] - 19*t[2] - 12*t[3] + (65*t[4])/6 - (27*t[5])/2 + 
       (175*t[6])/12 + 5*t[7] - 5*t[8] + (91*t[9])/6 - (37*t[10])/12 + 
       (181*t[11])/12 + (235*t[12])/12 + (202*t[13])/9 + (71*t[14])/24 - 
       (5*t[15])/2 - (10*t[24])/3 + (20*t[25])/3 - (14*t[26])/3 - 
       (20*t[27])/3 + (14*t[33])/3 - 2*t[38] - (14*t[39])/3 + t[41] - t[42] + 
       t[43] + 2*t[44] - 2*t[45] - 5*t[46] + 4*t[47] - (25*t[48])/12 + 
       (25*t[49])/12 - t[50]/12 + (37*t[51])/24 + t[52]/12 - (25*t[53])/12 - 
       (25*t[54])/12 + 4*t[59] + (85*t[60])/3 + (169*t[61])/3 - 
       (55*t[62])/6 + (127*t[63])/6 - (53*t[64])/6 + (158*t[65])/9 - 
       (422*t[66])/9 - 20*t[74] - 4*t[78] + 8*t[80] + 10*t[81] - 
       (58*t[82])/3 + 4*t[84] + (13*t[85])/3 + 24*t[86] - (25*t[87])/3 - 
       (25*t[88])/6 - (31*t[89])/6 - 24*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*(-t[1] - 19*t[2] - 12*t[3] + 
       (65*t[4])/6 - (27*t[5])/2 + (175*t[6])/12 + 5*t[7] - 5*t[8] + 
       (91*t[9])/6 - (37*t[10])/12 + (181*t[11])/12 + (235*t[12])/12 + 
       (202*t[13])/9 + (71*t[14])/24 - (5*t[15])/2 - (10*t[24])/3 + 
       (20*t[25])/3 - (14*t[26])/3 - (20*t[27])/3 + (14*t[33])/3 - 2*t[38] - 
       (14*t[39])/3 + t[41] - t[42] + t[43] + 2*t[44] - 2*t[45] - 5*t[46] + 
       4*t[47] - (25*t[48])/12 + (25*t[49])/12 - t[50]/12 + (37*t[51])/24 + 
       t[52]/12 - (25*t[53])/12 - (25*t[54])/12 + 4*t[59] + (85*t[60])/3 + 
       (169*t[61])/3 - (55*t[62])/6 + (127*t[63])/6 - (53*t[64])/6 + 
       (158*t[65])/9 - (422*t[66])/9 - 20*t[74] - 4*t[78] + 8*t[80] + 
       10*t[81] - (58*t[82])/3 + 4*t[84] + (13*t[85])/3 + 24*t[86] - 
       (25*t[87])/3 - (25*t[88])/6 - (31*t[89])/6 - 24*t[99] - 48*t[100])*
      \[Zeta][2] + HPL[{0, 0, 0, 0, 1}, 1 - u]*(-t[1] - 19*t[2] - 12*t[3] + 
       (65*t[4])/6 - (27*t[5])/2 + (175*t[6])/12 + 5*t[7] - 5*t[8] + 
       (91*t[9])/6 - (37*t[10])/12 + (181*t[11])/12 + (235*t[12])/12 + 
       (202*t[13])/9 + (71*t[14])/24 - (5*t[15])/2 - (10*t[24])/3 + 
       (20*t[25])/3 - (14*t[26])/3 - (20*t[27])/3 + (14*t[33])/3 - 2*t[38] - 
       (14*t[39])/3 + t[41] - t[42] + t[43] + 2*t[44] - 2*t[45] - 5*t[46] + 
       4*t[47] - (25*t[48])/12 + (25*t[49])/12 - t[50]/12 + (37*t[51])/24 + 
       t[52]/12 - (25*t[53])/12 - (25*t[54])/12 + 4*t[59] + (85*t[60])/3 + 
       (169*t[61])/3 - (55*t[62])/6 + (127*t[63])/6 - (53*t[64])/6 + 
       (158*t[65])/9 - (422*t[66])/9 - 20*t[74] - 4*t[78] + 8*t[80] + 
       10*t[81] - (58*t[82])/3 + 4*t[84] + (13*t[85])/3 + 24*t[86] - 
       (25*t[87])/3 - (25*t[88])/6 - (31*t[89])/6 - 24*t[99] - 48*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*Omega2[v, w, u]*((-63*t[2])/2 - 4*t[3] + 
       (149*t[4])/6 - (19*t[5])/2 + (391*t[6])/12 + 11*t[7] + t[8] + 
       (19*t[9])/6 - (31*t[10])/12 + (319*t[11])/12 + t[12]/12 + 
       (781*t[13])/36 - (105*t[14])/8 - (79*t[15])/6 - (22*t[24])/3 - 
       (4*t[25])/3 + (4*t[26])/3 - (20*t[27])/3 - 2*t[28] + 2*t[32] - 
       (4*t[33])/3 - 2*t[35] - (2*t[39])/3 - 2*t[40] + 2*t[41] - 2*t[42] + 
       t[43] + 2*t[44] - 2*t[45] - 5*t[46] + 6*t[47] - (13*t[48])/12 + 
       (91*t[49])/12 + (71*t[50])/12 + (103*t[51])/24 - (71*t[52])/12 - 
       (91*t[53])/12 - (181*t[54])/12 + 4*t[59] + (85*t[60])/3 + 
       (169*t[61])/3 - (55*t[62])/6 + (127*t[63])/6 - (53*t[64])/6 + 
       (158*t[65])/9 - (422*t[66])/9 - 20*t[74] - 4*t[78] + 8*t[80] + 
       10*t[81] - (34*t[82])/3 + 4*t[84] + (13*t[85])/3 + 24*t[86] - 
       (25*t[87])/3 - (25*t[88])/6 - (31*t[89])/6 - 24*t[99] - 48*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      (-t[1] + 7*t[2] - 17*t[3] - (49*t[4])/6 - (31*t[5])/2 + (61*t[6])/12 + 
       25*t[7] - 43*t[8] + (193*t[9])/6 + (149*t[10])/12 + (7*t[11])/12 + 
       (517*t[12])/12 + (160*t[13])/9 - (139*t[14])/24 - 18*t[15] - 
       (46*t[24])/3 - (4*t[25])/3 + (10*t[26])/3 + (4*t[27])/3 - 4*t[28] + 
       4*t[32] - (10*t[33])/3 - 2*t[38] - (2*t[39])/3 - 4*t[40] + t[41] - 
       t[42] + 3*t[43] + 6*t[44] + 2*t[45] - 9*t[46] - (175*t[48])/12 - 
       (113*t[49])/12 + (41*t[50])/12 + (31*t[51])/24 - (41*t[52])/12 + 
       (113*t[53])/12 + (41*t[54])/12 + 4*t[59] + (85*t[60])/3 + 
       (169*t[61])/3 - (55*t[62])/6 + (127*t[63])/6 - (53*t[64])/6 + 
       (158*t[65])/9 - (422*t[66])/9 - 20*t[74] - 4*t[78] + 8*t[80] + 
       10*t[81] - (10*t[82])/3 + 4*t[84] + (13*t[85])/3 + 24*t[86] - 
       (25*t[87])/3 - (25*t[88])/6 - (31*t[89])/6 - 24*t[99] - 48*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*Omega2[w, u, v]*(-t[1] - 19*t[2] - 
       12*t[3] + (25*t[4])/2 - (29*t[5])/2 + (57*t[6])/4 + 5*t[7] - 5*t[8] + 
       (29*t[9])/2 - (11*t[10])/4 + (63*t[11])/4 + (77*t[12])/4 + 
       (163*t[13])/9 - (29*t[14])/24 - (37*t[15])/6 - 8*t[24] + 2*t[25] - 
       2*t[27] - 2*t[38] + t[41] - t[42] + t[43] + 2*t[44] - 2*t[45] - 
       5*t[46] + 4*t[47] - (7*t[48])/4 + (7*t[49])/4 + t[50]/4 + 
       (11*t[51])/8 - t[52]/4 - (7*t[53])/4 - (7*t[54])/4 + 4*t[59] + 
       27*t[60] + 55*t[61] - (17*t[62])/2 + (41*t[63])/2 - (19*t[64])/2 + 
       (58*t[65])/3 - (130*t[66])/3 - 20*t[74] - 4*t[78] + 8*t[80] + 
       10*t[81] - 10*t[82] + 4*t[84] + 3*t[85] + 24*t[86] - 7*t[87] - 
       (7*t[88])/2 - (9*t[89])/2 - 24*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      (-t[1] - 43*t[2] - 9*t[3] + (215*t[4])/6 - (39*t[5])/2 + 
       (289*t[6])/12 - 11*t[7] + 15*t[8] + (73*t[9])/6 - (199*t[10])/12 + 
       (379*t[11])/12 - (23*t[12])/12 + (82*t[13])/9 - (21*t[14])/8 - 
       (4*t[15])/3 - (34*t[24])/3 - (16*t[25])/3 + (22*t[26])/3 + 
       (16*t[27])/3 + 4*t[28] - 4*t[32] - (22*t[33])/3 - 2*t[38] + 
       (34*t[39])/3 + 4*t[40] + t[41] - t[42] - t[43] - 2*t[44] - 6*t[45] - 
       t[46] + 8*t[47] + (101*t[48])/12 + (115*t[49])/12 - (19*t[50])/12 + 
       (67*t[51])/24 + (19*t[52])/12 - (115*t[53])/12 - (67*t[54])/12 + 
       4*t[59] + (85*t[60])/3 + (157*t[61])/3 - (55*t[62])/6 + 
       (127*t[63])/6 - (65*t[64])/6 + (206*t[65])/9 - (374*t[66])/9 - 
       20*t[74] - 4*t[78] + 8*t[80] + 10*t[81] - (10*t[82])/3 + 4*t[84] + 
       (13*t[85])/3 + 24*t[86] - (25*t[87])/3 - (25*t[88])/6 - (19*t[89])/6 - 
       24*t[99] - 48*t[100])*\[Zeta][2] + HPL[{0, 0, 0, 0, 1}, 1 - v]*
      (-t[1] - 15*t[2] - 44*t[3] + (65*t[4])/6 - (27*t[5])/2 + 
       (343*t[6])/12 - 43*t[7] + 43*t[8] + (79*t[9])/6 + (395*t[10])/12 + 
       (421*t[11])/12 + (427*t[12])/12 + (358*t[13])/9 + (221*t[14])/8 - 
       (67*t[15])/6 - 16*t[23] - (10*t[24])/3 + (20*t[25])/3 - (14*t[26])/3 - 
       (20*t[27])/3 + (14*t[33])/3 - 2*t[38] - (14*t[39])/3 - 16*t[40] + 
       9*t[41] - 9*t[42] + t[43] + 2*t[44] - 2*t[45] - 5*t[46] + 4*t[47] - 
       (25*t[48])/12 - (167*t[49])/12 - t[50]/12 + (229*t[51])/24 + 
       (385*t[52])/12 + (167*t[53])/12 - (25*t[54])/12 + 18*t[59] + 
       (181*t[60])/3 + (313*t[61])/3 - (463*t[62])/6 - (233*t[63])/6 + 
       (19*t[64])/6 + (506*t[65])/9 - (686*t[66])/9 - 20*t[74] + 16*t[77] - 
       4*t[78] + 8*t[80] + 10*t[81] - (58*t[82])/3 + 20*t[84] + 
       (13*t[85])/3 + 24*t[86] + (71*t[87])/3 + (71*t[88])/6 + (65*t[89])/6 - 
       24*t[99] - 48*t[100])*\[Zeta][2] + HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (-9*t[1] - 19*t[2] - 28*t[3] - (127*t[4])/6 - (35*t[5])/2 + 
       (367*t[6])/12 + 25*t[7] + 39*t[8] + (295*t[9])/6 + (539*t[10])/12 + 
       (181*t[11])/12 + (259*t[12])/12 + (364*t[13])/9 + (237*t[14])/8 + 
       (37*t[15])/6 - (10*t[24])/3 + (20*t[25])/3 - (14*t[26])/3 - 
       (20*t[27])/3 + (14*t[33])/3 - 18*t[38] - (14*t[39])/3 - 14*t[40] + 
       t[41] - t[42] + t[43] + 2*t[44] - 2*t[45] - 5*t[46] + 4*t[47] - 
       (25*t[48])/12 + (25*t[49])/12 - t[50]/12 + (37*t[51])/24 + t[52]/12 + 
       (359*t[53])/12 - (25*t[54])/12 + 18*t[59] + (181*t[60])/3 + 
       (313*t[61])/3 - (463*t[62])/6 - (233*t[63])/6 + (19*t[64])/6 + 
       (506*t[65])/9 - (686*t[66])/9 - 20*t[74] + 16*t[77] - 4*t[78] + 
       8*t[80] + 10*t[81] - (58*t[82])/3 + 20*t[84] + (13*t[85])/3 + 
       24*t[86] + (71*t[87])/3 + (71*t[88])/6 + (65*t[89])/6 - 24*t[99] - 
       48*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*
      ((35*t[1])/6 + (3*t[2])/2 + (23*t[3])/12 - (785*t[4])/12 + 
       (193*t[5])/4 + (13*t[6])/24 - (103*t[7])/8 + (1255*t[8])/24 - 
       (473*t[9])/12 + (105*t[10])/8 + (697*t[11])/24 - (13*t[12])/4 - 
       (551*t[13])/108 - (56*t[14])/9 + (465*t[15])/16 - 2*t[25] + 2*t[27] + 
       3*t[29] - 13*t[31] - 18*t[35] - 4*t[37] + 2*t[38] + (227*t[43])/24 - 
       (13*t[44])/2 + 2*t[45] + (17*t[46])/2 - 4*t[47] + (147*t[48])/8 - 
       (83*t[49])/3 - (55*t[50])/24 + (179*t[51])/24 + (55*t[52])/24 + 
       (83*t[53])/3 + (671*t[54])/24 - (7*t[59])/6 - (605*t[60])/12 + 
       (209*t[61])/6 - (205*t[62])/12 - (203*t[63])/4 + (2669*t[64])/12 + 
       (535*t[65])/9 + (299*t[66])/9 - 8*t[69] + 2*t[70] - 2*t[71] + 
       17*t[74] + 4*t[75] + 2*t[78] + 34*t[79] + 32*t[80] - (3*t[81])/2 + 
       (19*t[82])/2 - (103*t[83])/3 + (15*t[84])/2 - (147*t[85])/4 - 
       (89*t[86])/6 + (541*t[87])/12 + (541*t[88])/24 + (57*t[89])/8 - 
       4*t[99] - 44*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w]*((35*t[2])/6 - (5*t[3])/12 - (299*t[4])/12 + 
       (187*t[5])/12 + (43*t[6])/4 - 45*t[7] + (901*t[8])/12 - (227*t[9])/8 - 
       (269*t[10])/24 - (49*t[11])/12 + (29*t[12])/8 + (2045*t[13])/216 - 
       (1261*t[14])/48 - (347*t[15])/18 + t[18]/3 + (14*t[19])/3 + 4*t[21] - 
       (16*t[23])/3 + (26*t[24])/3 - (64*t[31])/3 - 4*t[35] - 2*t[37] + 
       (19*t[41])/3 - (35*t[42])/6 - (39*t[43])/4 - 2*t[44] + 
       (121*t[45])/12 + (29*t[47])/6 + (227*t[48])/6 - (157*t[49])/24 - 
       (77*t[50])/6 + (235*t[51])/48 + (77*t[52])/6 + (157*t[53])/24 + 
       (129*t[54])/4 - (7*t[59])/6 - (605*t[60])/12 + (209*t[61])/6 - 
       (205*t[62])/12 - (203*t[63])/4 + (2669*t[64])/12 + (535*t[65])/9 + 
       (299*t[66])/9 - 8*t[69] + 2*t[70] - 2*t[71] + 17*t[74] + 4*t[75] + 
       2*t[78] + 34*t[79] + 32*t[80] - (3*t[81])/2 + (19*t[82])/2 - 
       (103*t[83])/3 + (15*t[84])/2 - (147*t[85])/4 - (89*t[86])/6 + 
       (541*t[87])/12 + (541*t[88])/24 + (57*t[89])/8 - 4*t[99] - 44*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((-15*t[1])/8 + (165*t[2])/8 - (173*t[3])/12 + (341*t[4])/48 - 
       (511*t[5])/12 - (107*t[6])/32 - (349*t[7])/24 + (116*t[8])/3 + 
       (2497*t[9])/48 - (179*t[10])/24 + (337*t[11])/24 + (319*t[12])/16 + 
       (16553*t[13])/1728 + (5935*t[14])/144 - (421*t[15])/32 + 3*t[18] + 
       2*t[19] + 5*t[21] + t[23]/3 + (25*t[24])/3 - t[25] + t[26] + 7*t[27] + 
       4*t[28] - (37*t[31])/6 - 2*t[32] - t[33] + 4*t[35] - t[37] + 5*t[39] + 
       2*t[40] + (53*t[41])/24 + (7*t[42])/24 - (47*t[43])/48 - 3*t[44] - 
       (197*t[45])/8 + t[46]/12 + (139*t[47])/4 + (857*t[48])/48 - 
       (31*t[49])/8 - (1039*t[50])/48 - (25*t[51])/8 + (1039*t[52])/48 + 
       (31*t[53])/8 + (1387*t[54])/48 - (97*t[59])/12 - (3*t[60])/2 + 
       (1163*t[61])/12 - (667*t[62])/12 - (25*t[63])/6 + (1093*t[64])/12 + 
       (119*t[65])/24 - (3139*t[66])/72 - 4*t[69] - 3*t[70] + 3*t[71] + 
       4*t[72] - 6*t[73] + (55*t[74])/3 + 7*t[75] - 2*t[76] + 4*t[77] + 
       5*t[78] + (685*t[80])/12 - (19*t[81])/6 + (55*t[82])/6 - 
       (43*t[83])/2 + (107*t[84])/12 - (44*t[85])/3 - (23*t[86])/6 + 
       (13*t[87])/2 + (13*t[88])/4 + (19*t[89])/4 - 24*t[98] + 38*t[99] - 
       40*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*
      ((125*t[1])/24 + (1357*t[2])/24 + (301*t[3])/24 - (2185*t[4])/48 + 
       (437*t[5])/24 + (319*t[6])/96 + (615*t[7])/8 - (4061*t[8])/24 + 
       (167*t[9])/24 - (8071*t[10])/96 - (2975*t[11])/96 + (4211*t[12])/96 + 
       (3005*t[13])/108 - (16997*t[14])/576 - (225*t[15])/32 + 4*t[19] - 
       4*t[20] - 4*t[21] + 4*t[23] - (167*t[24])/12 + t[25] - (41*t[26])/12 - 
       5*t[27] - 6*t[28] - 6*t[29] + 4*t[30] + 10*t[32] - (67*t[33])/12 + 
       2*t[35] + 14*t[36] - 10*t[37] + (29*t[38])/12 - (41*t[39])/12 - 
       2*t[40] - (173*t[41])/24 + (173*t[42])/24 + (31*t[43])/6 + 
       (259*t[44])/12 - (61*t[45])/12 - (95*t[46])/24 + (109*t[47])/6 - 
       (3961*t[48])/96 - (3677*t[49])/96 + (3599*t[50])/96 + 
       (4691*t[51])/192 - (3599*t[52])/96 + (3677*t[53])/96 + 
       (217*t[54])/32 - (11*t[59])/6 - (267*t[60])/4 - (283*t[61])/12 - 
       (767*t[62])/12 - (175*t[63])/12 + (35*t[64])/12 + (691*t[65])/72 - 
       (3199*t[66])/72 - 3*t[72] + 14*t[73] - (167*t[74])/6 - 22*t[75] + 
       3*t[76] - 10*t[77] + (5*t[78])/6 - 6*t[79] + (106*t[80])/3 + 
       (131*t[81])/12 - (287*t[82])/12 + 26*t[83] - (377*t[84])/24 - 
       28*t[85] + (223*t[86])/2 + (479*t[87])/6 + (467*t[88])/12 - 
       (241*t[89])/4 - 31*t[99] - 37*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*Omega2[w, u, v]*(-t[1] - (49*t[2])/2 - 8*t[3] + 
       26*t[4] - (45*t[5])/2 + (25*t[6])/2 - 5*t[7] + 9*t[8] + (7*t[9])/2 - 
       (21*t[10])/2 + 28*t[11] - 3*t[12] + (781*t[13])/36 + (25*t[14])/4 + 
       (61*t[15])/12 + 4*t[24] + 8*t[25] - 6*t[26] - 8*t[27] + 2*t[28] - 
       2*t[32] + 6*t[33] - 2*t[35] - 2*t[38] - 4*t[39] + 2*t[40] + t[41] - 
       t[42] - 4*t[45] + 6*t[47] + (5*t[48])/2 + (15*t[49])/2 - t[50]/2 + 
       (7*t[51])/4 + t[52]/2 - (15*t[53])/2 - (13*t[54])/2 + 4*t[59] + 
       19*t[60] + 43*t[61] - (45*t[62])/2 + (29*t[63])/2 - (67*t[64])/2 - 
       4*t[65] - (154*t[66])/3 - 8*t[74] - 4*t[78] + 8*t[80] + 6*t[81] - 
       18*t[82] + 6*t[83] + 5*t[85] + 24*t[86] - t[87] - t[88]/2 - 
       (13*t[89])/2 - 24*t[99] - 36*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (-5*t[1] + (191*t[2])/12 - (5*t[3])/3 - (775*t[4])/12 + (271*t[5])/8 + 
       (679*t[6])/24 + (1171*t[7])/24 - (255*t[8])/8 + (45*t[9])/8 - 
       (97*t[10])/2 + (907*t[11])/12 + (191*t[12])/12 + (5813*t[13])/144 + 
       (395*t[14])/144 + (79*t[15])/24 - t[21] + t[23] - (11*t[24])/3 - 
       (2*t[25])/3 + (2*t[26])/3 - (4*t[27])/3 - 3*t[28] - 3*t[31] + 
       3*t[32] - (2*t[33])/3 - t[35] - (7*t[39])/3 - 3*t[40] - (13*t[41])/6 + 
       (13*t[42])/6 + (283*t[43])/24 + t[44] + (35*t[45])/3 - (5*t[46])/6 + 
       (11*t[47])/3 - (20*t[48])/3 - (445*t[49])/24 + 5*t[50] + 
       (77*t[51])/16 - 5*t[52] + (445*t[53])/24 - (15*t[54])/4 - 
       (11*t[59])/2 + (175*t[60])/12 + (386*t[61])/3 - (1007*t[62])/12 - 
       (7*t[63])/4 + (1003*t[64])/12 + (287*t[65])/12 - (5689*t[66])/36 - 
       t[69] + (5*t[74])/3 - t[78] + 4*t[79] + (107*t[80])/3 + (20*t[81])/3 - 
       (22*t[82])/3 - (14*t[83])/3 + (7*t[84])/12 + (145*t[85])/12 + 
       (253*t[86])/6 - (13*t[87])/4 - (13*t[88])/8 + (97*t[89])/24 - 
       6*t[99] - 29*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u]*((-11*t[1])/6 - (67*t[2])/6 - (221*t[3])/12 - 
       (377*t[4])/36 + (59*t[5])/6 + (2105*t[6])/72 + (781*t[7])/24 + 
       (517*t[8])/24 - (107*t[9])/18 + (2215*t[10])/72 + (965*t[11])/72 - 
       (74*t[12])/9 + (754*t[13])/27 - (21*t[14])/2 + (17*t[15])/144 - 
       (76*t[24])/9 - (40*t[25])/9 + (40*t[26])/9 - (32*t[27])/9 - 4*t[28] + 
       t[31] + 4*t[32] - (40*t[33])/9 - 4*t[35] + (4*t[39])/9 - 6*t[40] + 
       2*t[41] - 2*t[42] + (269*t[43])/24 + 4*t[44] + 5*t[45] - (7*t[46])/2 - 
       6*t[47] - (551*t[48])/72 - (25*t[49])/18 + (529*t[50])/72 + 
       (349*t[51])/72 - (529*t[52])/72 + (25*t[53])/18 - (785*t[54])/72 + 
       (7*t[59])/2 + (367*t[60])/36 + (229*t[61])/9 - (521*t[62])/9 - 
       (395*t[63])/18 + (101*t[64])/9 + (637*t[65])/54 - (2461*t[66])/54 - 
       2*t[72] - 7*t[74] + 2*t[77] - 4*t[78] + 8*t[79] + 14*t[80] + 
       (13*t[81])/2 - (59*t[82])/18 + (26*t[83])/3 - t[84] + (211*t[85])/36 + 
       (457*t[86])/6 + (413*t[87])/36 + (413*t[88])/72 + (1031*t[89])/72 - 
       24*t[99] - 28*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w]*((4*t[1])/3 - (127*t[2])/24 - (869*t[3])/96 - 
       (46*t[4])/3 + (2759*t[5])/192 + (659*t[6])/24 + (161*t[7])/16 - 
       12*t[8] + (139*t[9])/192 - (303*t[10])/16 + (4055*t[11])/96 + 
       (3053*t[12])/192 + (9595*t[13])/432 + (4211*t[14])/576 + 
       (787*t[15])/1152 + (7*t[18])/6 + (2*t[20])/3 + (7*t[21])/6 - t[22]/6 - 
       (7*t[23])/6 - (23*t[24])/12 - (13*t[25])/6 + (31*t[26])/12 + 
       (5*t[27])/3 - t[28] - t[29]/6 + t[30] - (2*t[31])/3 + (2*t[32])/3 - 
       (19*t[33])/12 + (13*t[34])/6 - (8*t[35])/3 - t[36]/2 - (5*t[37])/3 - 
       t[38]/4 + (7*t[39])/12 - t[40]/4 + (17*t[41])/12 - (5*t[42])/6 + 
       (1117*t[43])/96 - t[44]/2 - (133*t[45])/24 - (3*t[46])/4 + 
       (50*t[47])/3 - (115*t[48])/24 - (457*t[49])/48 - (103*t[50])/24 + 
       (389*t[51])/96 + (47*t[52])/24 + (457*t[53])/48 + (17*t[54])/3 - 
       t[58]/12 - (27*t[59])/8 + (53*t[60])/24 + (3415*t[61])/48 - 
       (1967*t[62])/96 + (357*t[63])/32 + (6455*t[64])/96 + (635*t[65])/144 - 
       (4595*t[66])/48 - (4*t[69])/3 - (11*t[70])/3 + (11*t[71])/3 + 
       (5*t[72])/6 + 3*t[73] - (25*t[74])/6 - 3*t[75] + (22*t[76])/3 + 
       t[77]/6 - (25*t[78])/4 + 4*t[79] + (701*t[80])/12 + 6*t[81] + 
       (8*t[82])/3 - (10*t[83])/3 - t[84]/6 + (97*t[85])/24 + 
       (319*t[86])/24 + (11*t[87])/24 + (11*t[88])/48 + (139*t[89])/48 + 
       (5*t[97])/12 + 38*t[98] - 46*t[99] - 26*t[100])*\[Zeta][2] + 
     M1[v, w, u]*(-t[1]/2 - (19*t[2])/2 - 6*t[3] + (89*t[4])/12 - 
       (35*t[5])/4 + (175*t[6])/24 + (5*t[7])/2 - (5*t[8])/2 + (91*t[9])/12 - 
       (37*t[10])/24 + (229*t[11])/24 + (235*t[12])/24 + (71*t[13])/9 - 
       (89*t[14])/48 - (55*t[15])/12 - (17*t[24])/3 - (2*t[25])/3 + 
       (5*t[26])/3 + (2*t[27])/3 - (5*t[33])/3 - t[38] + (5*t[39])/3 + 
       t[41]/2 - t[42]/2 + t[43]/2 + t[44] - t[45] - (5*t[46])/2 + 2*t[47] - 
       (25*t[48])/24 + (25*t[49])/24 - t[50]/24 + (37*t[51])/48 + t[52]/24 - 
       (25*t[53])/24 - (25*t[54])/24 + 2*t[59] + (85*t[60])/6 + 
       (169*t[61])/6 - (55*t[62])/12 + (127*t[63])/12 - (53*t[64])/12 + 
       (79*t[65])/9 - (211*t[66])/9 - 10*t[74] - 2*t[78] + 4*t[80] + 
       5*t[81] - (5*t[82])/3 + 2*t[84] + (13*t[85])/6 + 12*t[86] - 
       (25*t[87])/6 - (25*t[88])/12 - (31*t[89])/12 - 12*t[99] - 24*t[100])*
      \[Zeta][2] + M1[w, u, v]*(-t[1]/2 - (17*t[2])/2 - 7*t[3] + 
       (27*t[4])/4 - (39*t[5])/4 + (61*t[6])/8 + (9*t[7])/2 - (23*t[8])/2 + 
       (61*t[9])/4 - (7*t[10])/8 + (63*t[11])/8 + (89*t[12])/8 + 
       (59*t[13])/9 - (73*t[14])/48 - (19*t[15])/4 - 7*t[24] - 2*t[25] + 
       3*t[26] + 2*t[27] - 3*t[33] - t[38] + 3*t[39] + t[41]/2 - t[42]/2 + 
       t[43]/2 + t[44] - t[45] - (5*t[46])/2 + 2*t[47] - (19*t[48])/8 - 
       (5*t[49])/8 + (5*t[50])/8 + (23*t[51])/16 - (5*t[52])/8 + 
       (5*t[53])/8 - (3*t[54])/8 + 2*t[59] + (31*t[60])/2 + (55*t[61])/2 - 
       (21*t[62])/4 + (45*t[63])/4 - (19*t[64])/4 + (29*t[65])/3 - 
       (73*t[66])/3 - 10*t[74] - 2*t[78] + 4*t[80] + 5*t[81] - 3*t[82] + 
       2*t[84] + (7*t[85])/2 + 12*t[86] - (11*t[87])/2 - (11*t[88])/4 - 
       (9*t[89])/4 - 12*t[99] - 24*t[100])*\[Zeta][2] + 
     M1[u, v, w]*(-t[1]/2 - (19*t[2])/2 - 6*t[3] + (85*t[4])/12 - 
       (31*t[5])/4 + (167*t[6])/24 + (5*t[7])/2 - (5*t[8])/2 + (83*t[9])/12 - 
       (29*t[10])/24 + (197*t[11])/24 + (227*t[12])/24 + (62*t[13])/9 - 
       (43*t[14])/16 - (59*t[15])/12 - (19*t[24])/3 - (4*t[25])/3 + 
       (7*t[26])/3 + (4*t[27])/3 - (7*t[33])/3 - t[38] + (7*t[39])/3 + 
       t[41]/2 - t[42]/2 + t[43]/2 + t[44] - t[45] - (5*t[46])/2 + 2*t[47] - 
       (17*t[48])/24 + (17*t[49])/24 + (7*t[50])/24 + (29*t[51])/48 - 
       (7*t[52])/24 - (17*t[53])/24 - (17*t[54])/24 + 2*t[59] + 
       (77*t[60])/6 + (161*t[61])/6 - (47*t[62])/12 + (119*t[63])/12 - 
       (61*t[64])/12 + (95*t[65])/9 - (179*t[66])/9 - 10*t[74] - 2*t[78] + 
       4*t[80] + 5*t[81] - t[82]/3 + 2*t[84] + (5*t[85])/6 + 12*t[86] - 
       (17*t[87])/6 - (17*t[88])/12 - (23*t[89])/12 - 12*t[99] - 24*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      (3*t[1] - 280*t[2] - 34*t[3] + (551*t[4])/4 - (351*t[5])/4 + 
       (175*t[6])/4 - (131*t[7])/2 + (657*t[8])/2 - (213*t[9])/4 - 
       (911*t[10])/8 + (723*t[11])/4 - (1365*t[12])/8 + (1277*t[13])/36 + 
       (4379*t[14])/48 + (805*t[15])/12 - 8*t[18] - 6*t[20] + 12*t[21] - 
       12*t[23] + 62*t[24] + 8*t[25] - 14*t[26] - 8*t[27] + 30*t[28] + 
       2*t[29] - 18*t[30] - 30*t[32] + 26*t[33] - 34*t[35] - 12*t[36] + 
       16*t[37] + 6*t[38] + 10*t[39] + 24*t[40] + 11*t[41] - 5*t[42] - 
       18*t[43] - 30*t[44] - 18*t[45] + 33*t[46] + 44*t[47] + (387*t[48])/4 + 
       (391*t[49])/8 - (149*t[50])/4 + (141*t[51])/16 + (149*t[52])/4 - 
       (391*t[53])/8 - (49*t[54])/2 + 14*t[59] + (419*t[60])/4 + 
       (111*t[61])/4 - (187*t[62])/8 - (885*t[63])/8 - (157*t[64])/8 + 
       (131*t[65])/12 - (3059*t[66])/12 + 16*t[69] - 26*t[70] + 26*t[71] + 
       24*t[73] + 32*t[74] - 28*t[75] + 6*t[77] + 34*t[78] + 8*t[79] - 
       38*t[80] - 3*t[81] - 25*t[82] - 30*t[83] + (157*t[84])/4 + 
       (111*t[85])/4 - 104*t[86] - (309*t[87])/4 - (309*t[88])/8 + 
       (489*t[89])/8 - 12*t[99] - 24*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((203*t[1])/24 + (149*t[2])/24 + (247*t[3])/12 - (2255*t[4])/48 + 
       (155*t[5])/2 - (77*t[6])/96 + (583*t[7])/12 + (865*t[8])/24 - 
       (2593*t[9])/48 - (85*t[10])/6 + (257*t[11])/4 - (741*t[12])/16 - 
       (9983*t[13])/1728 + (1595*t[14])/144 + (649*t[15])/32 + t[21] - 
       t[23] - t[24] - 8*t[25] + 3*t[26] + 2*t[27] - 2*t[29] - 2*t[30] - 
       (15*t[31])/2 + 2*t[32] - 3*t[33] - 11*t[35] - 2*t[36] - 2*t[37] + 
       5*t[38] + 3*t[39] - 2*t[40] - (65*t[41])/24 + (65*t[42])/24 + 
       (395*t[43])/48 + (563*t[45])/24 + (85*t[46])/12 - (419*t[47])/12 + 
       (121*t[48])/16 - (143*t[49])/24 + (827*t[50])/48 + (41*t[51])/12 - 
       (827*t[52])/48 + (143*t[53])/24 - (511*t[54])/48 + (7*t[59])/12 - 
       (11*t[60])/6 + (835*t[61])/12 - (341*t[62])/4 - (91*t[63])/6 + 
       (953*t[64])/12 + (1621*t[65])/72 + (301*t[66])/72 - 4*t[69] - 
       3*t[70] + 3*t[71] + 4*t[72] - 6*t[73] + (43*t[74])/3 + 7*t[75] - 
       2*t[76] + 4*t[77] + 5*t[78] + (685*t[80])/12 - (31*t[81])/6 + 
       (67*t[82])/6 - (97*t[83])/6 + (107*t[84])/12 - (65*t[85])/3 + 
       (47*t[86])/2 + (49*t[87])/6 + (49*t[88])/12 - (3*t[89])/4 - 24*t[98] + 
       38*t[99] - 24*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-55*t[1])/4 + (313*t[2])/12 + (727*t[3])/6 + 
       (1433*t[4])/72 + (2243*t[5])/24 - (5189*t[6])/144 - (1459*t[7])/12 - 
       (401*t[8])/4 - (18719*t[9])/72 + (5651*t[10])/144 - 
       (16991*t[11])/144 - (10865*t[12])/144 - (617*t[13])/18 - 
       (45497*t[14])/288 + (101*t[15])/12 - 8*t[18] + 2*t[19] - 2*t[21] + 
       18*t[22] + 2*t[23] + (319*t[24])/18 - (7*t[25])/9 - (85*t[26])/18 + 
       (25*t[27])/9 + 12*t[29] + 18*t[30] - 16*t[32] + (247*t[33])/18 - 
       10*t[34] + 2*t[37] + (7*t[38])/2 - (193*t[39])/18 + 15*t[40] - 
       (5*t[41])/4 - (11*t[42])/4 + t[43]/4 + t[44]/2 + (13*t[45])/2 + 
       (13*t[46])/4 - 25*t[47] - (1717*t[48])/144 + (1033*t[49])/144 + 
       (35*t[50])/144 - (2171*t[51])/288 - (611*t[52])/144 - 
       (745*t[53])/144 - (6733*t[54])/144 - 3*t[58] - (19*t[59])/2 - 
       (8867*t[60])/36 - (10127*t[61])/36 + (18353*t[62])/72 + 
       (12967*t[63])/72 + (187*t[64])/72 - (6719*t[65])/54 + 
       (18719*t[66])/54 + 8*t[70] - 8*t[71] + 6*t[72] + 9*t[74] - 18*t[76] - 
       2*t[77] + 6*t[78] - 56*t[80] - (39*t[81])/2 + (331*t[82])/18 - 
       6*t[83] - 33*t[84] - (443*t[85])/36 - 84*t[86] + (3431*t[87])/36 + 
       (695*t[88])/72 - (5695*t[89])/72 + 8*t[95] + 8*t[96] - 7*t[97] - 
       48*t[98] + 54*t[99] - 24*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*((-35*t[1])/8 - (281*t[2])/24 + 
       (149*t[3])/24 - (5143*t[4])/144 + (1999*t[5])/24 - (4499*t[6])/288 - 
       (353*t[7])/12 + (65*t[8])/2 - (7579*t[9])/72 + (2207*t[10])/288 - 
       (2297*t[11])/288 - (2723*t[12])/288 - (1133*t[13])/144 - 
       (14273*t[14])/576 + (4415*t[15])/288 + (343*t[24])/36 - 
       (103*t[25])/18 + (161*t[26])/36 - (77*t[27])/18 + 4*t[28] - 2*t[29] - 
       3*t[30] - 5*t[31] - 2*t[32] + (523*t[33])/36 + 4*t[34] + 6*t[35] + 
       18*t[36] + 2*t[37] + (5*t[38])/4 - (127*t[39])/36 + (9*t[40])/2 + 
       (19*t[41])/8 - (19*t[42])/8 + t[43]/8 - (9*t[44])/4 - (21*t[45])/2 - 
       (7*t[46])/8 + 19*t[47] + (221*t[48])/288 + (553*t[49])/288 + 
       (3629*t[50])/288 + (4621*t[51])/576 - (3629*t[52])/288 - 
       (553*t[53])/288 - (9151*t[54])/288 - (7*t[59])/2 - (697*t[60])/9 - 
       (827*t[61])/18 - (4367*t[62])/72 - (1645*t[63])/72 + (515*t[64])/72 + 
       (173*t[65])/216 - (6017*t[66])/216 - 3*t[72] + 14*t[73] - 
       (39*t[74])/2 - 22*t[75] + 3*t[76] - 10*t[77] + (5*t[78])/2 - 6*t[79] + 
       32*t[80] + (27*t[81])/4 - (851*t[82])/36 + 26*t[83] - (139*t[84])/8 - 
       (1033*t[85])/36 + (203*t[86])/2 + (2959*t[87])/36 + (2887*t[88])/72 - 
       (4223*t[89])/72 - 21*t[99] - 17*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*((7*t[1])/24 - (7*t[2])/24 + 
       (193*t[3])/96 + (17*t[4])/48 + (397*t[5])/192 - (41*t[6])/6 + 
       (107*t[7])/32 - (1351*t[8])/96 + (335*t[9])/192 - (193*t[10])/48 + 
       t[11]/48 - (95*t[12])/192 - (3205*t[13])/1728 - (257*t[14])/96 - 
       (2705*t[15])/1152 + t[18]/6 - t[20]/6 + t[21]/6 - (7*t[22])/3 - 
       t[23]/6 - t[24]/2 - (3*t[25])/2 + (5*t[26])/6 + t[27]/6 + t[29]/6 - 
       t[31]/6 - (2*t[32])/3 - t[33]/6 + (19*t[34])/6 - t[36]/2 - 
       (7*t[38])/12 + t[39]/6 + t[40]/3 - (11*t[41])/24 + (13*t[42])/24 + 
       (35*t[43])/48 + t[44]/12 - (193*t[45])/48 - (7*t[46])/24 + 
       (23*t[47])/8 - (61*t[48])/32 + (271*t[49])/96 + (209*t[50])/96 - 
       (37*t[51])/192 - (107*t[52])/32 - (271*t[53])/96 - (61*t[54])/32 + 
       t[58]/12 + (3*t[59])/4 + (7*t[60])/12 - (167*t[61])/48 - 
       (77*t[62])/96 + (1805*t[63])/96 - (163*t[64])/96 - (9*t[65])/16 + 
       (289*t[66])/48 - t[70]/3 + t[71]/3 + (4*t[72])/3 - t[73] + t[75] + 
       (13*t[76])/3 + t[77]/6 - (7*t[78])/3 + (119*t[80])/12 + (11*t[81])/6 + 
       (13*t[82])/2 + (7*t[83])/3 - (17*t[84])/12 + (5*t[85])/2 - 
       (61*t[86])/24 - (13*t[87])/2 - (13*t[88])/4 - (193*t[89])/24 + 
       (2*t[97])/3 + 26*t[98] - 29*t[99] - (27*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*(-t[1]/4 + (11*t[2])/4 - 
       (21*t[3])/4 - (109*t[4])/24 - (27*t[5])/8 + (85*t[6])/48 + 
       (33*t[7])/4 - (79*t[8])/4 + (385*t[9])/24 + (173*t[10])/48 - 
       (137*t[11])/48 + (589*t[12])/48 + (125*t[13])/18 + (253*t[14])/96 - 
       (7*t[15])/6 - (5*t[24])/6 + (8*t[25])/3 - (13*t[26])/6 - (8*t[27])/3 - 
       t[28] + t[32] + (13*t[33])/6 - t[38]/2 - (19*t[39])/6 - t[40] + 
       t[41]/4 - t[42]/4 + (3*t[43])/4 + (3*t[44])/2 + t[45]/2 - 
       (9*t[46])/4 - (247*t[48])/48 - (185*t[49])/48 + (65*t[50])/48 + 
       (103*t[51])/96 - (65*t[52])/48 + (185*t[53])/48 + (65*t[54])/48 + 
       t[59] + (85*t[60])/12 + (181*t[61])/12 - (55*t[62])/24 + 
       (127*t[63])/24 - (41*t[64])/24 + (55*t[65])/18 - (235*t[66])/18 - 
       5*t[74] - t[78] + 2*t[80] + (5*t[81])/2 - (53*t[82])/6 + t[84] + 
       (13*t[85])/12 + 6*t[86] - (25*t[87])/12 - (25*t[88])/24 - 
       (43*t[89])/24 - 6*t[99] - 12*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*(-t[1]/4 - (19*t[2])/4 - 3*t[3] + 
       (65*t[4])/24 - (27*t[5])/8 + (175*t[6])/48 + (5*t[7])/4 - (5*t[8])/4 + 
       (91*t[9])/24 - (37*t[10])/48 + (181*t[11])/48 + (235*t[12])/48 + 
       (101*t[13])/18 + (71*t[14])/96 - (5*t[15])/8 - (5*t[24])/6 + 
       (5*t[25])/3 - (7*t[26])/6 - (5*t[27])/3 + (7*t[33])/6 - t[38]/2 - 
       (7*t[39])/6 + t[41]/4 - t[42]/4 + t[43]/4 + t[44]/2 - t[45]/2 - 
       (5*t[46])/4 + t[47] - (25*t[48])/48 + (25*t[49])/48 - t[50]/48 + 
       (37*t[51])/96 + t[52]/48 - (25*t[53])/48 - (25*t[54])/48 + t[59] + 
       (85*t[60])/12 + (169*t[61])/12 - (55*t[62])/24 + (127*t[63])/24 - 
       (53*t[64])/24 + (79*t[65])/18 - (211*t[66])/18 - 5*t[74] - t[78] + 
       2*t[80] + (5*t[81])/2 - (29*t[82])/6 + t[84] + (13*t[85])/12 + 
       6*t[86] - (25*t[87])/12 - (25*t[88])/24 - (31*t[89])/24 - 6*t[99] - 
       12*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((3*t[1])/8 - (45*t[2])/8 + (69*t[3])/4 + (307*t[4])/16 + 
       (279*t[5])/16 + (241*t[6])/32 - (293*t[7])/8 - (239*t[8])/8 - 
       (719*t[9])/16 + (101*t[10])/32 - (349*t[11])/32 - (655*t[12])/32 - 
       (163*t[13])/36 - (8575*t[14])/576 + (37*t[15])/8 + t[18]/3 + 3*t[23] + 
       (7*t[24])/4 - 2*t[25] + (5*t[26])/4 - t[28] + 3*t[31] + t[32] - 
       (5*t[33])/4 + (3*t[38])/4 + t[39]/4 - t[40] - (23*t[41])/8 + 
       (51*t[42])/8 + (87*t[43])/8 + t[44]/4 - 6*t[45] - (5*t[46])/8 - 
       10*t[47] - (39*t[48])/32 + (127*t[49])/32 - (63*t[50])/32 - 
       (109*t[51])/64 + (63*t[52])/32 - (127*t[53])/32 - (295*t[54])/32 - 
       6*t[59] + (39*t[60])/8 - (19*t[61])/8 + (3319*t[62])/48 + 
       (515*t[63])/16 - (1025*t[64])/16 - (881*t[65])/36 - t[66]/4 + 
       2*t[69] - t[70] + t[71] + t[74]/2 + t[78]/2 - 4*t[79] - 27*t[80] + 
       (9*t[81])/4 - t[82]/4 - 6*t[83] + (67*t[85])/8 - (147*t[86])/2 - 
       (95*t[87])/8 - (95*t[88])/16 + (27*t[89])/16 + 3*t[99] - 9*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-19*t[1])/12 + (29*t[2])/12 - (55*t[3])/12 + (647*t[4])/24 - 
       (403*t[5])/8 - (1189*t[6])/48 + (19*t[7])/4 - (91*t[8])/3 + 
       (157*t[9])/4 - (1795*t[10])/48 + (665*t[11])/48 + (649*t[12])/48 + 
       (361*t[13])/216 + (511*t[14])/288 - (25*t[15])/3 + t[18]/3 - 2*t[20] - 
       (4*t[23])/3 - (5*t[24])/6 + (13*t[25])/3 - (7*t[26])/6 + 
       (11*t[27])/3 + 4*t[28] - (4*t[31])/3 - 6*t[32] + (7*t[33])/6 - 
       2*t[34] - (19*t[38])/6 + (17*t[39])/6 + 4*t[40] - t[41]/12 + 
       (11*t[42])/12 - (31*t[43])/6 - (5*t[44])/6 + (17*t[45])/12 + 
       (25*t[46])/12 + (13*t[47])/6 + (175*t[48])/48 - (29*t[49])/48 - 
       (361*t[50])/48 - (15*t[51])/32 + (361*t[52])/48 + (29*t[53])/48 + 
       (427*t[54])/48 + (11*t[59])/6 - t[60]/2 + (37*t[61])/12 - 
       (437*t[62])/8 - (725*t[63])/24 + (371*t[64])/24 + 3*t[65] - 29*t[66] - 
       2*t[72] + (4*t[74])/3 + 2*t[77] - (7*t[78])/3 + 8*t[79] + 
       (32*t[80])/3 + (7*t[81])/3 - 3*t[82] + (26*t[83])/3 - (8*t[84])/3 + 
       (31*t[85])/6 + (397*t[86])/6 + (83*t[87])/6 + (83*t[88])/12 + 
       (191*t[89])/12 - 14*t[99] - 8*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*((-25*t[1])/24 + (121*t[2])/24 + 
       (5*t[3])/3 + (107*t[4])/16 - (809*t[5])/48 + (17*t[6])/32 + 
       (27*t[7])/8 - (215*t[8])/24 + (257*t[9])/16 + (69*t[10])/32 - 
       (237*t[11])/32 + (511*t[12])/96 - (2471*t[13])/216 - (191*t[14])/576 - 
       (643*t[15])/144 - t[24]/4 - (7*t[25])/3 + (29*t[26])/12 + 
       (7*t[27])/3 - t[30] - (23*t[33])/12 - t[34]/2 + (5*t[38])/12 + 
       (35*t[39])/12 - t[40]/2 + t[41]/24 - t[42]/24 - (143*t[43])/24 + 
       (31*t[44])/12 + (29*t[45])/12 + (25*t[46])/24 - (29*t[47])/6 + 
       (25*t[48])/32 - (137*t[49])/32 + (81*t[50])/32 + (289*t[51])/192 - 
       (33*t[52])/32 + (137*t[53])/32 + (43*t[54])/96 + t[58]/2 - 
       (17*t[59])/6 - (169*t[60])/24 - (111*t[61])/8 + (605*t[62])/48 - 
       (917*t[63])/48 - (947*t[64])/48 - (131*t[65])/36 + (272*t[66])/9 + 
       3*t[72] + (25*t[74])/6 - (7*t[76])/2 - 2*t[77] + (17*t[78])/6 - 
       (80*t[80])/3 - (43*t[81])/12 + (11*t[82])/4 - 3*t[83] + t[84]/6 - 
       (163*t[85])/24 - 14*t[86] + (61*t[87])/8 + (53*t[88])/16 - 
       (65*t[89])/48 - 24*t[98] + 29*t[99] - 8*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*((-7*t[1])/12 - (83*t[2])/4 + 
       (185*t[3])/32 + (499*t[4])/24 - (1291*t[5])/192 + (1117*t[6])/96 - 
       (371*t[7])/48 - (435*t[8])/16 - (2065*t[9])/192 + (44*t[10])/3 + 
       (16*t[11])/3 - (565*t[12])/192 + (5051*t[13])/864 - (3595*t[14])/576 + 
       (5521*t[15])/1152 - t[18]/12 - (4*t[19])/3 + (2*t[20])/3 - 
       (3*t[21])/2 - (2*t[22])/3 + (17*t[23])/6 - (7*t[24])/3 + (7*t[25])/6 - 
       (2*t[26])/3 - 3*t[27] + t[29]/3 + t[30]/2 + (8*t[31])/3 + 
       (7*t[32])/6 + (2*t[33])/3 + (35*t[34])/12 - (10*t[35])/3 - t[36]/2 - 
       t[37]/3 - (5*t[38])/6 - (2*t[39])/3 - 2*t[40] - t[41]/4 + 
       (23*t[42])/24 + (565*t[43])/96 + (25*t[44])/12 - (455*t[45])/48 - 
       (17*t[46])/24 - (17*t[47])/8 - (829*t[48])/96 + (111*t[49])/16 + 
       (475*t[50])/96 + (5*t[51])/16 - (113*t[52])/32 - (111*t[53])/16 - 
       (1559*t[54])/96 - t[58]/12 + (11*t[59])/6 + (887*t[60])/48 + 
       (29*t[61])/48 + (497*t[62])/32 + (915*t[63])/32 - (2853*t[64])/32 - 
       (691*t[65])/144 - (2599*t[66])/144 + (7*t[69])/3 + (5*t[72])/6 - 
       t[73] - (169*t[74])/12 + (17*t[76])/6 + (7*t[77])/6 - (21*t[78])/4 - 
       2*t[79] - (5*t[80])/12 + (181*t[81])/24 - (71*t[82])/8 + 
       (37*t[83])/4 - (71*t[84])/24 + (659*t[85])/48 - (49*t[86])/4 - 
       (221*t[87])/16 - (221*t[88])/32 - (377*t[89])/96 + (5*t[97])/12 + 
       14*t[98] - 33*t[99] - (11*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*((-7*t[1])/4 - (37*t[2])/12 - 
       (377*t[3])/32 + (277*t[4])/12 - (5921*t[5])/192 - (137*t[6])/96 - 
       (17*t[7])/24 - (463*t[8])/12 + (5957*t[9])/192 + (1231*t[10])/96 - 
       (1267*t[11])/96 + (1817*t[12])/64 + (12037*t[13])/1728 + 
       (455*t[14])/288 - (11425*t[15])/1152 + t[18]/6 - (2*t[20])/3 + 
       t[21]/6 + t[22]/6 - t[23]/6 - (7*t[24])/3 + 3*t[25] - (3*t[26])/2 - 
       (7*t[27])/6 + t[29]/6 - t[30] + (9*t[31])/4 - (2*t[32])/3 + 
       (13*t[33])/6 + (7*t[34])/6 + (11*t[35])/3 - t[36]/2 + (2*t[37])/3 - 
       2*t[38] - (13*t[39])/6 + (13*t[40])/12 - (5*t[41])/24 + (7*t[42])/24 - 
       (197*t[43])/96 + (7*t[44])/4 - (103*t[45])/48 - (11*t[46])/2 + 
       (181*t[47])/24 - (425*t[48])/48 + (113*t[49])/96 - (169*t[50])/48 + 
       (103*t[51])/192 + (89*t[52])/48 - (113*t[53])/96 - (5*t[54])/12 + 
       t[58]/12 + (11*t[59])/6 + (887*t[60])/48 + (29*t[61])/48 + 
       (497*t[62])/32 + (915*t[63])/32 - (2853*t[64])/32 - (691*t[65])/144 - 
       (2599*t[66])/144 + (7*t[69])/3 + (5*t[72])/6 - t[73] - 
       (169*t[74])/12 + (17*t[76])/6 + (7*t[77])/6 - (21*t[78])/4 - 2*t[79] - 
       (5*t[80])/12 + (181*t[81])/24 - (71*t[82])/8 + (37*t[83])/4 - 
       (71*t[84])/24 + (659*t[85])/48 - (49*t[86])/4 - (221*t[87])/16 - 
       (221*t[88])/32 - (377*t[89])/96 + (5*t[97])/12 + 14*t[98] - 33*t[99] - 
       (11*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      ((5*t[1])/24 - t[2]/4 - (41*t[3])/48 - (5*t[4])/16 + (17*t[5])/16 + 
       (271*t[6])/96 - (25*t[7])/32 + (137*t[8])/96 - (137*t[9])/48 - 
       (107*t[10])/96 + (151*t[11])/96 - (23*t[12])/48 - (107*t[13])/216 + 
       (155*t[14])/144 + (137*t[15])/192 - t[24]/3 - t[25]/3 + t[26]/3 + 
       t[27]/3 + t[31]/4 - t[33]/3 + t[39]/3 + (73*t[43])/96 + t[46]/8 + 
       (43*t[48])/96 - (37*t[50])/96 - (13*t[51])/96 + (37*t[52])/96 + 
       (5*t[54])/96 - t[59]/8 + (3*t[60])/16 + 3*t[61] + (109*t[62])/24 + 
       (35*t[63])/12 - (7*t[64])/8 - (181*t[65])/72 - (107*t[66])/72 + 
       t[74]/4 - t[79] + t[81]/8 + (25*t[82])/24 - (2*t[83])/3 + 
       (13*t[85])/48 - (103*t[86])/24 - (5*t[87])/48 - (5*t[88])/96 + 
       (89*t[89])/96 - 2*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*(-t[1] - (289*t[2])/12 + t[3]/6 + (119*t[4])/3 - 
       (359*t[5])/24 + (93*t[6])/8 - (51*t[7])/4 + (89*t[8])/3 - 5*t[9] - 
       (349*t[10])/24 + (70*t[11])/3 - 16*t[12] + (3497*t[13])/432 - 
       (749*t[14])/144 - (1889*t[15])/144 - t[18]/3 + t[23]/3 + 
       (10*t[24])/3 - t[25] - 3*t[27] + t[28] - (5*t[31])/3 - t[32] - t[35] + 
       t[38] + t[39] + t[40] + (5*t[41])/3 - (4*t[42])/3 - 2*t[43] - 
       4*t[44] - t[45]/12 - t[46] + (61*t[47])/6 + (23*t[48])/3 + 
       (277*t[49])/24 + (11*t[50])/6 + (59*t[51])/48 - (11*t[52])/6 - 
       (277*t[53])/24 - (41*t[54])/4 - (7*t[59])/6 + (59*t[60])/12 - 
       (11*t[61])/6 + 9*t[62] - 7*t[63] + (121*t[64])/12 - (91*t[65])/18 - 
       (197*t[66])/6 - 3*t[74] + 6*t[79] + 4*t[80] - (3*t[81])/2 + 
       (3*t[82])/2 - (2*t[83])/3 - (21*t[85])/4 - (121*t[86])/6 + 
       (35*t[87])/12 + (35*t[88])/24 + (33*t[89])/8 - 2*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((-23*t[1])/6 + (71*t[2])/4 - (23*t[3])/3 - (197*t[4])/6 + 
       (147*t[5])/8 - (125*t[6])/12 + (73*t[7])/8 - (889*t[8])/24 + 
       (61*t[9])/24 + (55*t[10])/8 - (307*t[11])/24 + (311*t[12])/24 + 
       (485*t[13])/432 + (311*t[14])/36 + (229*t[15])/24 - 3*t[24] + t[25] + 
       3*t[27] - t[28] - t[31] + t[32] + t[35] - t[38] - t[39] - t[40] - 
       2*t[41] + 2*t[42] + (151*t[43])/24 + 4*t[44] + (17*t[45])/2 - 
       t[46]/2 - 18*t[47] - (47*t[48])/8 - (115*t[49])/12 + (31*t[50])/24 - 
       (13*t[51])/12 - (31*t[52])/24 + (115*t[53])/12 + (205*t[54])/24 - 
       (7*t[59])/6 + (59*t[60])/12 - (11*t[61])/6 + 9*t[62] - 7*t[63] + 
       (121*t[64])/12 - (91*t[65])/18 - (197*t[66])/6 - 3*t[74] + 6*t[79] + 
       4*t[80] - (3*t[81])/2 + (3*t[82])/2 - (2*t[83])/3 - (21*t[85])/4 - 
       (121*t[86])/6 + (35*t[87])/12 + (35*t[88])/24 + (33*t[89])/8 - 
       2*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*
      ((-17*t[1])/24 + (39*t[2])/8 - (145*t[3])/96 - (189*t[4])/16 + 
       (1055*t[5])/192 - (683*t[6])/96 - (35*t[7])/16 - (13*t[8])/4 - 
       (229*t[9])/192 + (223*t[10])/32 - (125*t[11])/16 - (113*t[12])/192 - 
       (1343*t[13])/216 + (1021*t[14])/144 + (6703*t[15])/1152 + t[18]/6 + 
       t[20]/6 + t[21]/6 - (2*t[22])/3 - t[23]/6 + (7*t[24])/3 - t[25]/2 + 
       (11*t[27])/6 + t[28] - t[29]/6 + (2*t[32])/3 - t[33] + (19*t[34])/6 - 
       t[36]/2 - t[38]/12 + t[39] - t[40] + (13*t[41])/24 - (11*t[42])/24 + 
       (145*t[43])/96 - (17*t[44])/12 - (43*t[45])/24 + (11*t[46])/8 - 
       (5*t[47])/4 - (109*t[48])/32 - (65*t[49])/96 + (17*t[50])/96 - 
       (109*t[51])/192 - t[52]/96 + (65*t[53])/96 + (233*t[54])/96 - 
       (7*t[58])/12 - t[59]/4 - (35*t[60])/6 - (811*t[61])/48 + 
       (37*t[62])/32 + (443*t[63])/32 + (27*t[64])/32 - (841*t[65])/144 + 
       (2299*t[66])/144 - t[70]/3 + t[71]/3 + (4*t[72])/3 - t[73] + 5*t[74] + 
       t[75] + (13*t[76])/3 + t[77]/6 - (4*t[78])/3 + (95*t[80])/12 - 
       (2*t[81])/3 + (20*t[82])/3 + (7*t[83])/3 - (29*t[84])/12 + 
       (25*t[85])/12 - (205*t[86])/24 - (61*t[87])/12 - (61*t[88])/24 - 
       (85*t[89])/12 + (2*t[97])/3 + 26*t[98] - 23*t[99] - (3*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - w]^5*(-t[2]/12 + (83*t[3])/48 + 
       (65*t[4])/48 + (29*t[5])/12 + (61*t[6])/48 - (9*t[7])/2 - 
       (145*t[8])/48 - (171*t[9])/32 + (107*t[10])/96 - (167*t[11])/48 - 
       (77*t[12])/32 - (977*t[13])/864 - (307*t[14])/192 + (353*t[15])/288 + 
       t[18]/12 + t[23]/3 + t[24]/3 + t[31]/3 - t[41]/12 + (3*t[42])/8 + 
       (19*t[43])/16 - (97*t[45])/48 - (5*t[47])/24 + t[48]/6 + 
       (19*t[49])/96 - (2*t[50])/3 - (19*t[51])/192 + (2*t[52])/3 - 
       (19*t[53])/96 - t[54]/16 - (43*t[59])/120 - (25*t[60])/48 - 
       (53*t[61])/24 + (391*t[62])/48 + (53*t[63])/16 - (341*t[64])/48 - 
       (91*t[65])/36 + (17*t[66])/4 + t[74]/4 - t[79] + t[81]/8 - t[82]/8 - 
       (5*t[83])/12 - t[84]/8 + (9*t[85])/16 - (187*t[86])/24 - 
       (7*t[87])/48 - (7*t[88])/96 + (17*t[89])/32 - t[100]/2)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^5*(t[1]/40 - (35*t[3])/48 + (89*t[4])/48 - (17*t[5])/8 + 
       (101*t[6])/96 - (49*t[7])/32 - (175*t[8])/96 + (2*t[9])/3 + 
       (15*t[10])/32 - (127*t[11])/96 + (7*t[12])/8 - (565*t[13])/432 + 
       (77*t[14])/144 + (5*t[15])/64 + t[31]/4 - (11*t[43])/96 + t[46]/8 - 
       (5*t[48])/32 - t[49]/3 - (23*t[50])/96 + (7*t[51])/96 + 
       (23*t[52])/96 + t[53]/3 + (7*t[54])/96 - (43*t[59])/120 - 
       (25*t[60])/48 - (53*t[61])/24 + (391*t[62])/48 + (53*t[63])/16 - 
       (341*t[64])/48 - (91*t[65])/36 + (17*t[66])/4 + t[74]/4 - t[79] + 
       t[81]/8 - t[82]/8 - (5*t[83])/12 - t[84]/8 + (9*t[85])/16 - 
       (187*t[86])/24 - (7*t[87])/48 - (7*t[88])/96 + (17*t[89])/32 - 
       t[100]/2)*\[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      ((-43*t[1])/16 + (3*t[2])/16 + (463*t[3])/48 + (2893*t[4])/96 - 
       (423*t[5])/32 + (41*t[6])/192 - (259*t[7])/48 - (143*t[8])/12 + 
       (59*t[9])/48 - (1969*t[10])/192 - (1973*t[11])/192 - (275*t[12])/64 - 
       (2987*t[13])/864 - (17531*t[14])/1152 - (501*t[15])/32 + t[18]/12 + 
       t[23]/12 - (5*t[24])/24 - (23*t[25])/12 + (31*t[26])/24 - t[27]/12 - 
       t[28]/2 - (11*t[31])/12 + t[32]/2 - (31*t[33])/24 - t[35]/2 + 
       (5*t[38])/8 + (19*t[39])/24 - t[40]/2 - (31*t[41])/48 + 
       (15*t[42])/16 - (35*t[43])/12 - (17*t[44])/8 - (43*t[45])/48 - 
       (43*t[46])/16 + (37*t[47])/24 + (31*t[48])/64 + (769*t[49])/192 + 
       (149*t[50])/192 + (51*t[51])/128 - (149*t[52])/192 - (769*t[53])/192 - 
       (719*t[54])/192 - (41*t[59])/24 - (193*t[60])/24 - (1235*t[61])/48 + 
       (905*t[62])/96 + (113*t[63])/32 - (203*t[64])/32 - (277*t[65])/72 + 
       (1489*t[66])/72 - t[74]/2 + t[78]/4 - 2*t[79] + (43*t[80])/3 - t[81] + 
       (17*t[82])/6 - (5*t[83])/12 - t[84]/8 - (47*t[85])/24 - (33*t[86])/8 + 
       (19*t[87])/8 + (19*t[88])/16 + (145*t[89])/48 + (3*t[99])/2 + t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((37*t[1])/24 - (181*t[2])/24 - (89*t[3])/32 - (23*t[4])/2 - 
       (371*t[5])/192 - (889*t[6])/96 + (2389*t[7])/96 - (313*t[8])/32 + 
       (5191*t[9])/192 - (995*t[10])/32 + (1045*t[11])/32 + (909*t[12])/64 + 
       (121*t[13])/64 + (1135*t[14])/192 - (389*t[15])/128 - (5*t[18])/6 + 
       (4*t[19])/3 - (2*t[20])/3 + (23*t[21])/6 - t[22]/3 - (19*t[23])/6 + 
       (23*t[24])/12 - t[25]/2 + (7*t[26])/12 + t[27] + t[28] - t[29]/3 - 
       t[30]/2 - (3*t[31])/2 - (7*t[32])/6 - (5*t[33])/12 + (71*t[34])/12 - 
       (11*t[35])/3 - t[36]/2 - (2*t[37])/3 - (7*t[38])/12 + (17*t[39])/12 + 
       t[40]/3 + (79*t[41])/24 - (125*t[42])/24 + (95*t[43])/48 + 
       (16*t[44])/3 - (829*t[45])/48 + (19*t[46])/4 + (195*t[47])/8 - 
       (23*t[48])/24 + t[49]/48 + (161*t[50])/24 - (47*t[51])/32 - 
       (61*t[52])/8 - t[53]/48 - (21*t[54])/4 + (7*t[58])/12 + 
       (103*t[59])/24 - (109*t[60])/24 + (1459*t[61])/48 - (4627*t[62])/96 - 
       (461*t[63])/96 + (5579*t[64])/96 + (267*t[65])/16 - (5473*t[66])/144 - 
       (4*t[69])/3 - (11*t[70])/3 + (11*t[71])/3 + (5*t[72])/6 + 3*t[73] - 
       (19*t[74])/6 - 3*t[75] + (22*t[76])/3 + t[77]/6 - (21*t[78])/4 + 
       4*t[79] + (677*t[80])/12 + (3*t[81])/2 + (29*t[82])/6 + 2*t[83] - 
       (7*t[84])/6 - (27*t[85])/8 + (277*t[86])/8 + (85*t[87])/24 + 
       (85*t[88])/48 - (79*t[89])/48 + (5*t[97])/12 + 38*t[98] - 40*t[99] + 
       2*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      ((17*t[1])/24 - (11*t[2])/24 + (5*t[3])/24 - (9*t[4])/16 - 
       (137*t[5])/16 - (103*t[6])/32 + (103*t[7])/24 + (5*t[8])/2 + 
       (211*t[9])/24 + (23*t[10])/12 + (25*t[11])/24 + (175*t[12])/24 + 
       (49*t[13])/192 - (151*t[14])/144 - 4*t[15] - t[31]/2 - t[41]/24 + 
       t[42]/24 - (145*t[43])/48 + (55*t[45])/24 - t[46]/12 - (7*t[47])/12 + 
       t[48]/16 - t[49]/12 + (11*t[50])/48 + (5*t[51])/48 - (11*t[52])/48 + 
       t[53]/12 - (19*t[54])/48 - (2*t[59])/3 - (61*t[60])/12 - (9*t[61])/4 - 
       13*t[62] - (73*t[63])/12 + (67*t[64])/8 + (59*t[65])/8 + 
       (169*t[66])/72 - (4*t[74])/3 + 3*t[79] - t[80]/12 + t[81]/6 - 
       t[82]/6 + (5*t[83])/6 - (5*t[84])/12 - t[85]/3 + (79*t[86])/6 + 
       (19*t[87])/6 + (19*t[88])/12 + (19*t[89])/8 + (5*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*((-3*t[1])/8 + t[2]/24 + 
       (41*t[3])/24 + (11*t[4])/16 - (9*t[5])/16 - (37*t[6])/96 - 
       (7*t[7])/12 + (63*t[8])/8 - (13*t[9])/12 + (83*t[10])/12 - 
       (25*t[11])/12 + (815*t[13])/576 - (217*t[14])/72 - t[15]/16 + 
       t[18]/3 - t[31]/2 - (7*t[41])/24 + t[42]/8 - (79*t[43])/48 - 
       (35*t[45])/24 - (7*t[46])/12 + (17*t[47])/12 + (11*t[48])/16 + 
       (19*t[49])/24 - (31*t[50])/48 + t[51]/24 + (31*t[52])/48 - 
       (19*t[53])/24 + (11*t[54])/48 - (2*t[59])/3 - (61*t[60])/12 - 
       (9*t[61])/4 - 13*t[62] - (73*t[63])/12 + (67*t[64])/8 + (59*t[65])/8 + 
       (169*t[66])/72 - (4*t[74])/3 + 3*t[79] - t[80]/12 + t[81]/6 - 
       t[82]/6 + (5*t[83])/6 - (5*t[84])/12 - t[85]/3 + (79*t[86])/6 + 
       (19*t[87])/6 + (19*t[88])/12 + (19*t[89])/8 + (5*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-9*t[1])/8 + (17*t[2])/6 + (59*t[3])/48 + (1939*t[4])/144 - 
       (461*t[5])/48 - (2503*t[6])/288 + (637*t[7])/96 - (573*t[8])/32 + 
       (1793*t[9])/144 + (1375*t[10])/288 + (65*t[11])/288 + 
       (619*t[12])/144 - (11*t[13])/3 + (959*t[14])/144 - (3397*t[15])/576 - 
       t[21] + t[23] + (2*t[24])/9 + (2*t[25])/9 - (2*t[26])/9 - 
       (2*t[27])/9 - (7*t[31])/4 + (2*t[33])/9 - (2*t[39])/9 - t[41]/2 + 
       t[42]/2 - (133*t[43])/32 + t[45]/2 - (7*t[46])/8 + 5*t[47] + 
       (229*t[48])/288 + (28*t[49])/9 + (853*t[50])/288 - (299*t[51])/288 - 
       (853*t[52])/288 - (28*t[53])/9 - (533*t[54])/288 + (39*t[59])/8 + 
       (775*t[60])/144 + (493*t[61])/36 - (251*t[62])/36 + (1987*t[63])/72 - 
       (995*t[64])/18 - (317*t[65])/216 + (3245*t[66])/216 + 3*t[69] - 
       t[70] + t[71] - (7*t[74])/4 - 7*t[79] - 13*t[80] - (7*t[81])/8 + 
       (55*t[82])/72 + t[83] + t[84]/4 - (413*t[85])/144 - (221*t[86])/8 - 
       (595*t[87])/144 - (595*t[88])/288 - (865*t[89])/288 + 3*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      (t[1] + (59*t[2])/12 + (23*t[3])/6 - (37*t[4])/6 - 3*t[5] + 
       (233*t[6])/24 + (25*t[7])/6 - (11*t[8])/2 + (73*t[9])/12 + 
       (29*t[10])/6 - (35*t[11])/4 + (37*t[12])/12 - (727*t[13])/144 - 
       (221*t[14])/72 + (125*t[15])/24 + t[18]/3 + t[24]/6 + t[25]/6 - 
       t[26]/6 - t[27]/6 + 2*t[31] + t[33]/6 - t[39]/6 - t[41]/6 - 
       (5*t[42])/6 + (11*t[43])/12 - (29*t[45])/6 + (7*t[46])/6 + 
       (5*t[47])/3 - (37*t[48])/12 - 4*t[49] - (29*t[50])/12 + 
       (29*t[51])/24 + (29*t[52])/12 + 4*t[53] + (37*t[54])/12 + 2*t[59] - 
       4*t[60] + (19*t[61])/3 - 3*t[62] - (14*t[63])/3 - (113*t[64])/6 + 
       (257*t[65])/18 + (755*t[66])/18 + (14*t[74])/3 - 6*t[79] - 
       (31*t[80])/3 + (8*t[81])/3 - 7*t[82] + (4*t[83])/3 - (2*t[84])/3 + 
       11*t[85] + (44*t[86])/3 - (17*t[87])/3 - (17*t[88])/6 - (2*t[89])/3 + 
       4*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((-3*t[1])/8 - (17*t[2])/24 - t[3]/6 + (37*t[4])/16 - 
       2*t[5] - (75*t[6])/32 - t[7]/48 + (5*t[8])/16 + (5*t[9])/12 + 
       (17*t[10])/12 - (181*t[11])/48 + t[12]/8 + (149*t[13])/576 - 
       (725*t[14])/288 - (17*t[15])/12 - t[31]/2 - t[41]/24 + t[42]/24 - 
       (17*t[43])/24 + (23*t[45])/12 - t[46]/3 - (17*t[47])/6 - t[48]/8 + 
       (35*t[49])/48 + (13*t[50])/24 - (11*t[51])/96 - (13*t[52])/24 - 
       (35*t[53])/48 - t[54]/3 - (3*t[59])/4 - (11*t[60])/6 - (25*t[61])/2 - 
       (11*t[62])/24 - (119*t[63])/24 + (17*t[64])/4 - (65*t[65])/72 + 
       (37*t[66])/8 - (4*t[74])/3 + 2*t[79] - (43*t[80])/12 - t[81]/3 + 
       t[82]/3 + (4*t[83])/3 - (2*t[84])/3 - (5*t[85])/6 + (25*t[86])/6 + 
       (13*t[87])/6 + (13*t[88])/12 + (7*t[89])/4 + 4*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*(t[1]/8 + (67*t[2])/24 + 
       (125*t[3])/48 + (19*t[4])/24 + (5*t[5])/3 - (37*t[6])/96 - 
       (5*t[7])/2 - (193*t[8])/48 - (71*t[9])/32 - (143*t[10])/48 - 
       (199*t[11])/96 - (55*t[12])/16 - (2981*t[13])/864 - (7*t[14])/8 + 
       (61*t[15])/144 + t[18]/12 + t[23]/3 + (13*t[24])/12 - t[25]/2 + 
       t[26]/4 + t[27]/2 + t[31]/3 - t[33]/4 + t[38]/4 + t[39]/4 - 
       (5*t[41])/24 + t[42]/4 + (25*t[43])/16 - t[44]/4 - (97*t[45])/48 + 
       (5*t[46])/8 + (31*t[47])/24 + t[48]/96 - (11*t[49])/24 - 
       (55*t[50])/96 - (5*t[51])/96 + (55*t[52])/96 + (11*t[53])/24 + 
       (13*t[54])/32 - (5*t[59])/8 - (145*t[60])/48 - (89*t[61])/24 + 
       (265*t[62])/48 + (7*t[63])/16 + (19*t[64])/48 - (371*t[65])/72 + 
       (251*t[66])/72 + (11*t[74])/4 + t[78]/2 - t[79] - t[80] - 
       (9*t[81])/8 + (9*t[82])/8 - (2*t[83])/3 - t[84]/2 + t[85]/16 - 
       (175*t[86])/24 + (29*t[87])/48 + (29*t[88])/96 + (45*t[89])/32 + 
       3*t[99] + 4*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
      ((3*t[1])/16 + (13*t[2])/16 + (9*t[3])/8 - (521*t[4])/32 + 
       (821*t[5])/32 + (1463*t[6])/192 - (327*t[7])/16 + (165*t[8])/16 - 
       (759*t[9])/32 + (2193*t[10])/64 - (1473*t[11])/64 - (335*t[12])/64 - 
       (133*t[13])/144 + (173*t[14])/1152 + (481*t[15])/32 - (5*t[24])/8 - 
       t[25] + (5*t[26])/8 + t[27] - t[28]/2 + t[32]/2 - (5*t[33])/8 + 
       t[35]/2 + (3*t[38])/8 + t[39]/8 - t[40]/2 - (27*t[41])/16 + 
       (73*t[42])/48 + (9*t[43])/16 + t[44]/8 - (11*t[45])/8 - (5*t[46])/16 - 
       (39*t[47])/4 - (67*t[48])/64 - (13*t[49])/64 + (5*t[50])/64 - 
       (129*t[51])/128 - (5*t[52])/64 + (13*t[53])/64 - (51*t[54])/64 - 
       (25*t[59])/12 - (101*t[60])/16 - (397*t[61])/16 + (3817*t[62])/96 + 
       (373*t[63])/32 - (1047*t[64])/32 + (139*t[65])/72 + (309*t[66])/8 + 
       t[72] + (3*t[74])/4 - t[77] + (3*t[78])/4 - 3*t[79] - (9*t[80])/2 - 
       (3*t[81])/8 + (11*t[82])/8 - (3*t[83])/2 + (3*t[84])/4 + 
       (27*t[85])/16 - 40*t[86] - (79*t[87])/16 - (79*t[88])/32 - 
       (265*t[89])/32 + (9*t[99])/2 + 6*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*((-41*t[1])/48 + (41*t[2])/16 - 
       (103*t[3])/48 - (2665*t[4])/96 + (1441*t[5])/96 - (349*t[6])/64 - 
       (313*t[7])/96 + (1243*t[8])/96 - (245*t[9])/32 + (815*t[10])/64 - 
       (2225*t[11])/192 + (101*t[12])/64 - (2653*t[13])/432 + 
       (8045*t[14])/1152 + (8333*t[15])/576 - t[18] + (25*t[24])/24 + 
       t[25]/6 - t[26]/24 + (11*t[27])/6 + t[28]/2 + t[31]/4 - t[32]/2 + 
       t[33]/24 + t[35]/2 - t[38]/8 + (11*t[39])/24 + t[40]/2 - 
       (15*t[41])/16 + (37*t[42])/48 - (53*t[43])/96 + (13*t[44])/8 - 
       (51*t[45])/8 + (49*t[46])/16 + (31*t[47])/12 + (233*t[48])/192 - 
       (117*t[49])/64 - (95*t[50])/192 - (583*t[51])/384 + (95*t[52])/192 + 
       (117*t[53])/64 + (373*t[54])/192 - (53*t[59])/24 - (45*t[60])/4 - 
       (519*t[61])/16 + (333*t[62])/32 + (101*t[63])/96 - (487*t[64])/96 - 
       (467*t[65])/72 + (1847*t[66])/72 + 2*t[74] + (3*t[78])/4 - 2*t[79] + 
       (40*t[80])/3 - (9*t[81])/4 + (35*t[82])/12 - (5*t[83])/12 - 
       (5*t[84])/8 - (13*t[85])/6 - (57*t[86])/8 + (37*t[87])/12 + 
       (37*t[88])/24 + (7*t[89])/2 + (9*t[99])/2 + 7*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (-t[1]/2 + (275*t[2])/6 + (56*t[3])/3 - (547*t[4])/12 + (87*t[5])/2 - 
       (929*t[6])/24 + (127*t[7])/3 + (21*t[8])/2 + (521*t[9])/12 + 
       (53*t[10])/12 - (85*t[11])/4 - (55*t[12])/3 - (9391*t[13])/144 + 
       (4841*t[14])/72 + (161*t[15])/24 + (16*t[24])/3 - (50*t[25])/3 + 
       (26*t[26])/3 + (50*t[27])/3 - 2*t[31] - (32*t[33])/3 + 18*t[34] + 
       4*t[35] + 2*t[38] + (32*t[39])/3 + 2*t[40] - (23*t[41])/6 + 
       (23*t[42])/6 - (119*t[43])/12 - 6*t[44] - (55*t[45])/6 + 
       (22*t[46])/3 + (25*t[47])/3 - (20*t[48])/3 + (47*t[49])/4 - 
       (4*t[50])/3 - (293*t[51])/24 - (2*t[52])/3 - (47*t[53])/4 + 
       (31*t[54])/6 - 2*t[58] - 7*t[59] - 8*t[60] - (37*t[61])/3 - 63*t[62] + 
       (386*t[63])/3 + (17*t[64])/6 - (845*t[65])/18 + (1657*t[66])/18 + 
       (88*t[74])/3 + 28*t[76] + 4*t[77] - 4*t[78] - 16*t[79] - 
       (29*t[80])/3 - (32*t[81])/3 + 48*t[82] - (52*t[83])/3 - (10*t[84])/3 + 
       12*t[85] - (68*t[86])/3 - (208*t[87])/3 - (104*t[88])/3 - 
       (112*t[89])/3 + 4*t[97] + 192*t[98] - 120*t[99] + 8*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (-8*t[1] + (61*t[2])/2 - 2*t[3] + (457*t[4])/24 + (335*t[5])/16 + 
       (673*t[6])/24 - 26*t[7] - (175*t[8])/4 - (1835*t[9])/48 + 
       (1807*t[10])/48 + (29*t[11])/3 + (859*t[12])/24 + (203*t[13])/6 - 
       (227*t[14])/96 + (5345*t[15])/288 - 4*t[18] - 2*t[20] + 2*t[21] - 
       2*t[22] - 2*t[23] - (77*t[24])/3 + (22*t[25])/3 - (16*t[26])/3 - 
       (52*t[27])/3 - 2*t[28] - (3*t[29])/2 + 26*t[30] + 2*t[31] + 5*t[32] + 
       (13*t[33])/3 - 12*t[34] - 24*t[35] + 22*t[36] - 12*t[37] - 3*t[38] - 
       (34*t[39])/3 + (3*t[40])/2 + 3*t[41] - 5*t[42] + (85*t[43])/8 + 
       (55*t[44])/4 - 3*t[45] - 10*t[46] - 10*t[47] - (55*t[48])/24 - 
       (295*t[49])/48 + (125*t[50])/24 + (1139*t[51])/96 + (67*t[52])/24 + 
       (295*t[53])/48 - (95*t[54])/12 - 6*t[57] - 2*t[58] + 4*t[59] - 
       (1517*t[60])/24 + (2005*t[61])/24 - (2533*t[62])/48 + 
       (5869*t[63])/48 - (4163*t[64])/48 - (679*t[65])/72 + (163*t[66])/72 - 
       4*t[69] + 6*t[70] - 6*t[71] - 14*t[72] - 6*t[73] - 40*t[74] + 
       20*t[75] - 5*t[76] + 5*t[77] + 3*t[78] - 20*t[79] + 27*t[80] + 
       18*t[81] - (131*t[82])/3 + 38*t[83] - (131*t[84])/8 - 
       (1145*t[85])/24 + (81*t[86])/2 + (1721*t[87])/24 + (1673*t[88])/48 - 
       (2155*t[89])/48 + 4*t[95] - 24*t[98] - 28*t[99] + 8*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      (3*t[1] - 44*t[2] - (303*t[3])/8 - (143*t[4])/6 - (847*t[5])/16 - 
       (103*t[6])/48 - (85*t[7])/8 - (459*t[8])/8 + (1015*t[9])/48 - 
       (151*t[10])/6 - (793*t[11])/48 + (227*t[12])/48 - (4073*t[13])/144 - 
       (11*t[14])/6 + (8623*t[15])/288 - 4*t[18] - 2*t[19] - 2*t[20] - 
       6*t[21] + 6*t[23] - (20*t[24])/3 + t[25]/3 - (16*t[26])/3 - 
       (19*t[27])/3 + 4*t[28] + t[29] + 5*t[30] + 6*t[31] + 2*t[32] + 
       (10*t[33])/3 - 4*t[34] + 2*t[35] + 10*t[36] - 18*t[37] + t[38] + 
       (35*t[39])/3 - (5*t[40])/2 - 3*t[41] + t[42] + 14*t[43] - t[44]/2 - 
       (17*t[45])/4 + 7*t[46] - (3*t[47])/2 - (263*t[48])/48 - 
       (65*t[49])/24 + (901*t[50])/48 + (77*t[51])/6 - (709*t[52])/48 + 
       (257*t[53])/24 + (175*t[54])/48 - t[58] + 4*t[59] - (1517*t[60])/24 + 
       (2005*t[61])/24 - (2533*t[62])/48 + (5869*t[63])/48 - 
       (4163*t[64])/48 - (679*t[65])/72 + (163*t[66])/72 - 4*t[69] + 
       6*t[70] - 6*t[71] - 14*t[72] - 6*t[73] - 40*t[74] + 20*t[75] - 
       5*t[76] + 5*t[77] + 3*t[78] - 20*t[79] + 27*t[80] + 18*t[81] - 
       (131*t[82])/3 + 38*t[83] - (131*t[84])/8 - (1145*t[85])/24 + 
       (81*t[86])/2 + (1721*t[87])/24 + (1673*t[88])/48 - (2155*t[89])/48 + 
       4*t[95] - 24*t[98] - 28*t[99] + 8*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*(t[1]/4 - (13*t[2])/4 + 
       (23*t[3])/4 + (11*t[4])/8 + (51*t[5])/8 - (23*t[6])/16 - (37*t[7])/4 + 
       (97*t[8])/4 - (151*t[9])/8 - (71*t[10])/16 + (27*t[11])/16 - 
       (199*t[12])/16 + (17*t[13])/9 + (491*t[14])/96 + (101*t[15])/12 + 
       (21*t[24])/2 + 7*t[25] - (15*t[26])/2 - 7*t[27] + t[28] - t[32] + 
       (15*t[33])/2 + t[38]/2 - (13*t[39])/2 + t[40] - t[41]/4 + t[42]/4 - 
       (3*t[43])/4 - (3*t[44])/2 - t[45]/2 + (9*t[46])/4 + (85*t[48])/16 + 
       (83*t[49])/16 - (35*t[50])/16 - (37*t[51])/32 + (35*t[52])/16 - 
       (83*t[53])/16 - (35*t[54])/16 - t[59] - (23*t[60])/4 - (47*t[61])/4 + 
       (13*t[62])/8 - (37*t[63])/8 + (27*t[64])/8 - (15*t[65])/2 + 
       (41*t[66])/6 + 5*t[74] + t[78] - 2*t[80] - (5*t[81])/2 - 
       (17*t[82])/2 - t[84] + t[85]/4 - 6*t[86] + (3*t[87])/4 + (3*t[88])/8 + 
       t[89]/8 + 6*t[99] + 12*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*((31*t[1])/48 + (11*t[2])/16 + 
       (97*t[3])/8 + (1855*t[4])/96 - (761*t[5])/32 - (2335*t[6])/192 - 
       (235*t[7])/16 - (227*t[8])/16 + (881*t[9])/96 - (1475*t[10])/192 - 
       (2125*t[11])/192 + (455*t[12])/64 - (797*t[13])/48 - 
       (3911*t[14])/384 - (387*t[15])/32 + (53*t[24])/24 - (5*t[25])/12 - 
       (5*t[26])/24 + (5*t[27])/12 + t[28]/2 + t[31] - t[32]/2 + 
       (5*t[33])/24 + t[35]/2 + (5*t[38])/8 + (7*t[39])/24 + (3*t[40])/2 - 
       (5*t[41])/16 + (5*t[42])/16 - (151*t[43])/16 - (9*t[44])/8 - 
       (19*t[45])/8 + (21*t[46])/16 + (17*t[47])/4 + (97*t[48])/192 + 
       (239*t[49])/192 - (215*t[50])/192 - (181*t[51])/384 + 
       (215*t[52])/192 - (239*t[53])/192 + (49*t[54])/192 - (31*t[59])/12 - 
       (457*t[60])/48 - (1513*t[61])/48 + (3911*t[62])/96 + (881*t[63])/96 - 
       (3019*t[64])/96 - (17*t[65])/24 + (3139*t[66])/72 + t[72] + 
       (13*t[74])/4 - t[77] + (5*t[78])/4 - 3*t[79] - (11*t[80])/2 - 
       (13*t[81])/8 + (35*t[82])/24 - (3*t[83])/2 + t[84]/4 + (71*t[85])/48 - 
       43*t[86] - (203*t[87])/48 - (203*t[88])/96 - (749*t[89])/96 + 
       (15*t[99])/2 + 12*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - v]*((11*t[1])/8 + (187*t[2])/24 + (109*t[3])/12 - 
       (271*t[4])/144 + (791*t[5])/48 - (173*t[6])/288 - (553*t[7])/24 + 
       (237*t[8])/8 - (5675*t[9])/144 + (4883*t[10])/288 - (5423*t[11])/288 - 
       (6065*t[12])/288 - (149*t[13])/12 + (7*t[14])/576 + (88*t[15])/9 + 
       4*t[22] + (223*t[24])/36 - t[25]/18 - (43*t[26])/36 + t[27]/18 - 
       t[30] + t[32] + (43*t[33])/36 - (9*t[34])/2 + (9*t[38])/4 - 
       (7*t[39])/36 + (3*t[40])/2 - (19*t[41])/8 + (19*t[42])/8 - 
       (33*t[43])/8 - (17*t[44])/4 + (43*t[45])/4 + (25*t[46])/8 - 
       (31*t[47])/2 + (1619*t[48])/288 + t[49]/288 - (1093*t[50])/288 - 
       (827*t[51])/576 + (949*t[52])/288 - t[53]/288 + (203*t[54])/288 - 
       (9*t[59])/2 - (1277*t[60])/72 - (2609*t[61])/72 + (2285*t[62])/144 - 
       (3941*t[63])/144 - (2231*t[64])/144 - (1343*t[65])/108 + 
       (2527*t[66])/54 + 3*t[72] + (25*t[74])/2 - (7*t[76])/2 - 2*t[77] + 
       (9*t[78])/2 - 30*t[80] - (31*t[81])/4 + (109*t[82])/36 - 3*t[83] - 
       (3*t[84])/2 - (539*t[85])/72 - 24*t[86] + (719*t[87])/72 + 
       (647*t[88])/144 + (35*t[89])/144 - 24*t[98] + 39*t[99] + 12*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((5*t[1])/12 + (353*t[2])/12 + (29*t[3])/48 - (1871*t[4])/48 + 
       (493*t[5])/16 - (19*t[6])/3 - (65*t[7])/8 - (871*t[8])/48 - 
       (101*t[9])/32 + (1579*t[10])/96 - (185*t[11])/6 + (2147*t[12])/96 - 
       (10913*t[13])/864 + (6311*t[14])/576 + (373*t[15])/48 + t[18]/12 + 
       t[20] + (5*t[23])/3 + (7*t[24])/6 + (4*t[25])/3 - (13*t[26])/6 + 
       (8*t[27])/3 - 2*t[28] + (5*t[31])/3 + 3*t[32] + (13*t[33])/6 + t[34] + 
       4*t[35] + (5*t[38])/6 - (25*t[39])/6 - 2*t[40] - (4*t[41])/3 + 
       (37*t[42])/24 + (385*t[43])/48 + (7*t[44])/6 - (205*t[45])/48 - 
       (35*t[46])/12 - (53*t[47])/24 - (425*t[48])/48 - (1009*t[49])/96 - 
       (265*t[50])/48 - (145*t[51])/64 + (265*t[52])/48 + (1009*t[53])/96 + 
       (305*t[54])/24 - (91*t[59])/24 - (25*t[60])/16 - (53*t[61])/12 + 
       59*t[62] + (523*t[63])/24 + (61*t[64])/3 - (73*t[65])/8 + 
       (611*t[66])/24 + t[72] + (7*t[74])/12 - t[77] + (11*t[78])/3 - 
       7*t[79] - (31*t[80])/3 - (73*t[81])/24 + (35*t[82])/8 - (37*t[83])/3 + 
       (17*t[84])/6 - (7*t[85])/48 - (1607*t[86])/24 - (689*t[87])/48 - 
       (689*t[88])/96 - (347*t[89])/96 + 22*t[99] + 16*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((5*t[1])/2 - (58*t[2])/3 - (187*t[3])/12 + (439*t[4])/12 - 
       (899*t[5])/24 - (64*t[6])/3 - (3*t[7])/2 + (731*t[8])/12 + 
       (73*t[9])/3 + (65*t[10])/3 - (329*t[11])/8 + (79*t[12])/24 - 
       (6505*t[13])/432 + t[14]/8 - (1373*t[15])/144 + t[18]/3 + 2*t[21] - 
       (8*t[23])/3 + (5*t[24])/3 + (7*t[25])/3 - (4*t[26])/3 - t[27]/3 + 
       3*t[28] - (2*t[31])/3 - 3*t[32] + (4*t[33])/3 - t[38] + (5*t[39])/3 + 
       3*t[40] + (25*t[41])/6 - (20*t[42])/3 - (47*t[43])/4 - (91*t[45])/12 - 
       t[46] + (55*t[47])/6 + (61*t[48])/8 + (193*t[49])/12 - (89*t[50])/24 - 
       (15*t[51])/8 + (89*t[52])/24 - (193*t[53])/12 + (125*t[54])/24 - 
       (5*t[59])/6 - (341*t[60])/12 - (272*t[61])/3 - (137*t[62])/4 - 
       (353*t[63])/12 + (863*t[64])/12 - (97*t[65])/12 + (989*t[66])/12 - 
       t[69] - 13*t[74] - t[78] + 4*t[79] + 13*t[80] - 6*t[81] + 
       (16*t[82])/3 + (34*t[83])/3 - (19*t[84])/4 - (259*t[85])/12 + 
       (401*t[86])/6 + (143*t[87])/4 + (143*t[88])/8 + (349*t[89])/24 - 
       6*t[99] + 19*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      ((-17*t[1])/24 + (43*t[2])/8 + (25*t[3])/12 + (349*t[4])/16 - 
       (307*t[5])/16 - (1043*t[6])/96 - 16*t[7] - (14*t[8])/3 + 
       (583*t[9])/48 + (2149*t[10])/96 - (2681*t[11])/96 + (183*t[12])/32 - 
       (3809*t[13])/216 + (3551*t[14])/576 - (197*t[15])/48 + (29*t[24])/12 + 
       t[25]/6 - (5*t[26])/12 + (11*t[27])/6 + t[28] + t[31] - t[32] + 
       (5*t[33])/12 + t[35] + t[38]/4 + (7*t[39])/12 + t[40] - (5*t[41])/8 + 
       (5*t[42])/8 - (91*t[43])/12 - (5*t[44])/4 + t[45]/4 + t[46]/8 - 
       (3*t[47])/2 + (61*t[48])/96 + (105*t[49])/32 - (283*t[50])/96 - 
       (377*t[51])/192 + (283*t[52])/96 - (105*t[53])/32 + (413*t[54])/96 + 
       (5*t[59])/3 - (15*t[60])/8 - (345*t[61])/8 + (663*t[62])/16 + 
       (779*t[63])/48 - (1171*t[64])/16 - (439*t[65])/36 + (2069*t[66])/36 + 
       2*t[69] - t[70] + t[71] + (3*t[74])/2 + (3*t[78])/2 - 4*t[79] - 
       29*t[80] - (9*t[81])/4 + (23*t[82])/12 - (2*t[83])/3 - t[84] + 
       (23*t[85])/24 - (313*t[86])/6 - (211*t[87])/24 - (211*t[88])/48 - 
       (137*t[89])/48 + 9*t[99] + 19*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      ((73*t[1])/24 - (121*t[2])/6 + (1087*t[3])/48 + (2935*t[4])/144 + 
       (901*t[5])/48 + (4841*t[6])/288 - (2699*t[7])/96 + (3697*t[8])/96 - 
       (5821*t[9])/144 - (7325*t[10])/288 + (2945*t[11])/288 - 
       (4193*t[12])/144 - (4195*t[13])/216 - (77*t[14])/24 + (71*t[15])/576 + 
       (62*t[24])/9 - (19*t[25])/9 - (8*t[26])/9 - (17*t[27])/9 + 2*t[28] + 
       t[31]/4 - 2*t[32] + (8*t[33])/9 + 2*t[35] + 3*t[38] + (10*t[39])/9 + 
       3*t[40] - t[41]/2 + t[42]/2 - (463*t[43])/96 - 5*t[44] - (7*t[45])/2 + 
       (29*t[46])/8 + 5*t[47] + (4741*t[48])/288 + (1037*t[49])/72 - 
       (1019*t[50])/288 - (425*t[51])/288 + (1019*t[52])/288 - 
       (1037*t[53])/72 - (2621*t[54])/288 - (33*t[59])/8 - (533*t[60])/144 - 
       (80*t[61])/9 + (4295*t[62])/72 + (725*t[63])/36 + (1525*t[64])/72 - 
       (2351*t[65])/216 + (6215*t[66])/216 + t[72] + (9*t[74])/4 - t[77] + 
       4*t[78] - 7*t[79] - 11*t[80] - (31*t[81])/8 + (319*t[82])/72 - 
       (37*t[83])/3 + (5*t[84])/2 - (41*t[85])/144 - (1655*t[86])/24 - 
       (1999*t[87])/144 - (1999*t[88])/288 - (949*t[89])/288 + 24*t[99] + 
       20*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      (-t[1]/12 + (49*t[2])/12 + (85*t[3])/48 - (827*t[4])/48 + 
       (1001*t[5])/48 - (65*t[6])/12 + (29*t[7])/8 - (131*t[8])/48 - 
       (1259*t[9])/96 + (2863*t[10])/96 - (137*t[11])/12 - (1061*t[12])/96 - 
       (7477*t[13])/864 + (8819*t[14])/576 + (1193*t[15])/72 - (7*t[18])/12 + 
       (31*t[24])/6 + t[25] - (11*t[26])/6 - t[27] + (11*t[33])/6 + 
       (5*t[38])/6 - (11*t[39])/6 + (7*t[41])/3 - (83*t[42])/24 - 
       (47*t[43])/48 - (5*t[44])/6 + (19*t[45])/48 + (25*t[46])/12 - 
       (229*t[47])/24 - (121*t[48])/48 - (109*t[49])/96 + (143*t[50])/48 - 
       (71*t[51])/192 - (143*t[52])/48 + (109*t[53])/96 + t[54]/8 + 
       (77*t[59])/24 - (85*t[60])/16 - (26*t[61])/3 - (89*t[62])/24 + 
       (58*t[63])/3 - (1225*t[64])/24 - (739*t[65])/72 + (2275*t[66])/72 + 
       3*t[69] - t[70] + t[71] + (79*t[74])/12 + (5*t[78])/3 - 7*t[79] - 
       (49*t[80])/3 - (121*t[81])/24 + (25*t[82])/24 + t[83] - 
       (17*t[84])/12 - (57*t[85])/16 - (301*t[86])/8 - (85*t[87])/48 - 
       (85*t[88])/96 - (45*t[89])/32 + 10*t[99] + 23*t[100])*\[Zeta][2] + 
     Ot[u, v, w]*(t[1]/2 + (19*t[2])/2 + 6*t[3] - (65*t[4])/12 + 
       (27*t[5])/4 - (175*t[6])/24 - (5*t[7])/2 + (5*t[8])/2 - (91*t[9])/12 + 
       (37*t[10])/24 - (181*t[11])/24 - (235*t[12])/24 - (101*t[13])/9 - 
       (71*t[14])/48 + (5*t[15])/4 + (5*t[24])/3 - (10*t[25])/3 + 
       (7*t[26])/3 + (10*t[27])/3 - (7*t[33])/3 + t[38] + (7*t[39])/3 - 
       t[41]/2 + t[42]/2 - t[43]/2 - t[44] + t[45] + (5*t[46])/2 - 2*t[47] + 
       (25*t[48])/24 - (25*t[49])/24 + t[50]/24 - (37*t[51])/48 - t[52]/24 + 
       (25*t[53])/24 + (25*t[54])/24 - 2*t[59] - (85*t[60])/6 - 
       (169*t[61])/6 + (55*t[62])/12 - (127*t[63])/12 + (53*t[64])/12 - 
       (79*t[65])/9 + (211*t[66])/9 + 10*t[74] + 2*t[78] - 4*t[80] - 
       5*t[81] + (29*t[82])/3 - 2*t[84] - (13*t[85])/6 - 12*t[86] + 
       (25*t[87])/6 + (25*t[88])/12 + (31*t[89])/12 + 12*t[99] + 24*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
      (t[1]/2 + (19*t[2])/2 + 6*t[3] - (79*t[4])/12 + (33*t[5])/4 - 
       (179*t[6])/24 - (5*t[7])/2 + (5*t[8])/2 - (95*t[9])/12 + 
       (41*t[10])/24 - (221*t[11])/24 - (239*t[12])/24 - (181*t[13])/18 - 
       (11*t[14])/48 + (11*t[15])/4 + (10*t[24])/3 - (5*t[25])/3 + 
       (2*t[26])/3 + (5*t[27])/3 - (2*t[33])/3 + t[38] + (2*t[39])/3 - 
       t[41]/2 + t[42]/2 - t[43]/2 - t[44] + t[45] + (5*t[46])/2 - 2*t[47] + 
       (29*t[48])/24 - (29*t[49])/24 + (5*t[50])/24 - (41*t[51])/48 - 
       (5*t[52])/24 + (29*t[53])/24 + (29*t[54])/24 - 2*t[59] - 
       (89*t[60])/6 - (173*t[61])/6 + (59*t[62])/12 - (131*t[63])/12 + 
       (49*t[64])/12 - (71*t[65])/9 + (227*t[66])/9 + 10*t[74] + 2*t[78] - 
       4*t[80] - 5*t[81] + (19*t[82])/3 - 2*t[84] - (17*t[85])/6 - 12*t[86] + 
       (29*t[87])/6 + (29*t[88])/12 + (35*t[89])/12 + 12*t[99] + 24*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      (t[1]/2 + (29*t[2])/2 + (25*t[3])/4 - (21*t[4])/2 + (39*t[5])/4 - 
       (21*t[6])/2 - t[7]/2 + (13*t[8])/2 - (31*t[9])/2 + (19*t[10])/4 - 
       11*t[11] - (25*t[12])/4 - (175*t[13])/18 - (10*t[14])/3 - 
       (25*t[15])/24 + 2*t[24] - 2*t[25] + t[26] + 2*t[27] - t[28] + t[32] - 
       t[33] + t[38] - t[40] - t[41]/2 + t[42]/2 + 2*t[45] + (3*t[46])/2 - 
       3*t[47] + t[48]/4 - (7*t[49])/4 + t[50]/4 - 2*t[51] - t[52]/4 + 
       (7*t[53])/4 + (7*t[54])/4 - 2*t[59] - (29*t[60])/2 - (63*t[61])/2 + 
       (19*t[62])/4 - (43*t[63])/4 + (11*t[64])/4 - (13*t[65])/3 + 
       (85*t[66])/3 + 10*t[74] + 2*t[78] - 4*t[80] - 5*t[81] + 10*t[82] - 
       2*t[84] - (5*t[85])/2 - 12*t[86] + (9*t[87])/2 + (9*t[88])/4 + 
       (17*t[89])/4 + 12*t[99] + 24*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (t[1]/2 + 6*t[2] + (17*t[3])/4 - 2*t[4] + (17*t[5])/4 - (17*t[6])/4 - 
       (3*t[7])/2 - 15*t[8] + (21*t[9])/2 - (37*t[11])/4 - 12*t[12] - 
       (301*t[13])/18 - (19*t[14])/24 + (21*t[15])/8 - 2*t[24] - 8*t[25] + 
       7*t[26] + 8*t[27] + t[28] - t[32] - 7*t[33] + t[38] + 8*t[39] + 
       t[40] - t[41]/2 + t[42]/2 - t[43] - 2*t[44] + (7*t[46])/2 - t[47] + 
       t[48]/2 - (7*t[49])/2 + (3*t[50])/2 + (9*t[51])/8 - (3*t[52])/2 + 
       (7*t[53])/2 + 2*t[54] - 2*t[59] - (29*t[60])/2 - (63*t[61])/2 + 
       (19*t[62])/4 - (43*t[63])/4 + (11*t[64])/4 - (13*t[65])/3 + 
       (85*t[66])/3 + 10*t[74] + 2*t[78] - 4*t[80] - 5*t[81] + 10*t[82] - 
       2*t[84] - (5*t[85])/2 - 12*t[86] + (9*t[87])/2 + (9*t[88])/4 + 
       (17*t[89])/4 + 12*t[99] + 24*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((5*t[1])/6 + (171*t[2])/8 + (5*t[3])/2 - (133*t[4])/24 + (65*t[5])/8 - 
       (1445*t[6])/48 - (87*t[7])/4 - (189*t[8])/4 - (437*t[9])/24 + 
       (305*t[10])/48 - (1247*t[11])/48 + (337*t[12])/48 - (61*t[13])/18 - 
       (821*t[14])/32 - (25*t[15])/8 - (23*t[24])/6 - t[25]/3 + (4*t[26])/3 + 
       (13*t[27])/3 - (3*t[28])/2 - 3*t[31] - t[32]/2 + (2*t[33])/3 - 
       8*t[34] + t[35]/2 + t[38] - (13*t[39])/6 + (3*t[40])/2 - 2*t[41] + 
       2*t[42] + (13*t[43])/4 + (3*t[44])/2 + 11*t[45] - (9*t[46])/4 - 
       (25*t[47])/2 - (175*t[48])/48 - (653*t[49])/48 - (163*t[50])/48 + 
       (127*t[51])/96 - (29*t[52])/48 + (653*t[53])/48 + (365*t[54])/48 - 
       (10*t[59])/3 - (257*t[60])/12 - (725*t[61])/12 + (1079*t[62])/24 - 
       (863*t[63])/24 + (79*t[64])/24 - (181*t[65])/36 + (1267*t[66])/36 + 
       2*t[74] - 7*t[76] - t[77] + 4*t[78] + 3*t[79] + 6*t[80] - 5*t[81] + 
       (5*t[82])/3 + (3*t[83])/2 - t[84]/2 - (73*t[85])/6 - (55*t[86])/2 + 
       (151*t[87])/6 + (151*t[88])/12 + (341*t[89])/24 - t[97] - 48*t[98] + 
       48*t[99] + 27*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*(t[1]/2 - (171*t[2])/8 + (13*t[3])/2 + 
       (413*t[4])/24 - (7*t[5])/4 + (347*t[6])/16 - (79*t[7])/4 + 
       (175*t[8])/4 - (179*t[9])/6 - (133*t[10])/48 - (437*t[11])/48 - 
       (1343*t[12])/48 - (127*t[13])/24 - (1601*t[14])/96 + (167*t[15])/48 + 
       t[18]/3 + t[20] + (25*t[24])/6 - (4*t[25])/3 + (4*t[26])/3 - 
       (8*t[27])/3 + (3*t[28])/2 + t[31] + (3*t[32])/2 - (7*t[33])/3 - 
       (3*t[35])/2 + t[38] + (23*t[39])/6 - (5*t[40])/2 - t[41]/2 + t[42]/3 + 
       2*t[43] - (3*t[44])/2 - 7*t[45] + (13*t[46])/4 + (3*t[47])/2 + 
       (671*t[48])/48 + (313*t[49])/48 + (299*t[50])/48 + (205*t[51])/96 - 
       (59*t[52])/48 - (313*t[53])/48 - (421*t[54])/48 + t[58] - 
       (10*t[59])/3 - (257*t[60])/12 - (725*t[61])/12 + (1079*t[62])/24 - 
       (863*t[63])/24 + (79*t[64])/24 - (181*t[65])/36 + (1267*t[66])/36 + 
       2*t[74] - 7*t[76] - t[77] + 4*t[78] + 3*t[79] + 6*t[80] - 5*t[81] + 
       (5*t[82])/3 + (3*t[83])/2 - t[84]/2 - (73*t[85])/6 - (55*t[86])/2 + 
       (151*t[87])/6 + (151*t[88])/12 + (341*t[89])/24 - t[97] - 48*t[98] + 
       48*t[99] + 27*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (t[1] - (3*t[2])/2 + 13*t[3] - (7*t[4])/3 + (37*t[5])/2 - (7*t[6])/3 - 
       15*t[7] + 29*t[8] - (115*t[9])/6 - (17*t[10])/3 - (41*t[11])/6 - 
       (119*t[12])/6 - (781*t[13])/36 - (5*t[14])/2 + (53*t[15])/12 + 
       (4*t[24])/3 - (20*t[25])/3 + (14*t[26])/3 + (20*t[27])/3 + 2*t[28] - 
       2*t[32] - (14*t[33])/3 + 2*t[35] + 2*t[38] + (20*t[39])/3 + 2*t[40] - 
       t[41] + t[42] - 2*t[43] - 4*t[44] + 4*t[46] - 2*t[47] + (28*t[48])/3 + 
       (14*t[49])/3 - (11*t[50])/3 - (7*t[51])/6 + (11*t[52])/3 - 
       (14*t[53])/3 + t[54]/3 - 4*t[59] - (49*t[60])/3 - (121*t[61])/3 + 
       (127*t[62])/6 - (79*t[63])/6 + (209*t[64])/6 + (4*t[65])/9 + 
       (398*t[66])/9 + 8*t[74] + 4*t[78] - 8*t[80] - 6*t[81] + (46*t[82])/3 - 
       6*t[83] - (7*t[85])/3 - 24*t[86] - (5*t[87])/3 - (5*t[88])/6 + 
       (31*t[89])/6 + 24*t[99] + 36*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*Omega2[w, u, v]*(t[1] + (49*t[2])/2 + 8*t[3] - 
       (76*t[4])/3 + (41*t[5])/2 - (71*t[6])/6 + 5*t[7] - 9*t[8] - 
       (13*t[9])/6 + (59*t[10])/6 - (76*t[11])/3 + (11*t[12])/3 - 
       (709*t[13])/36 - (55*t[14])/12 - (53*t[15])/12 - (8*t[24])/3 - 
       (20*t[25])/3 + (14*t[26])/3 + (20*t[27])/3 - 2*t[28] + 2*t[32] - 
       (14*t[33])/3 + 2*t[35] + 2*t[38] + (8*t[39])/3 - 2*t[40] - t[41] + 
       t[42] + 4*t[45] - 6*t[47] - (19*t[48])/6 - (41*t[49])/6 - t[50]/6 - 
       (17*t[51])/12 + t[52]/6 + (41*t[53])/6 + (35*t[54])/6 - 4*t[59] - 
       (49*t[60])/3 - (121*t[61])/3 + (127*t[62])/6 - (79*t[63])/6 + 
       (209*t[64])/6 + (4*t[65])/9 + (398*t[66])/9 + 8*t[74] + 4*t[78] - 
       8*t[80] - 6*t[81] + (46*t[82])/3 - 6*t[83] - (7*t[85])/3 - 24*t[86] - 
       (5*t[87])/3 - (5*t[88])/6 + (31*t[89])/6 + 24*t[99] + 36*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      (-2*t[1] - (73*t[2])/3 + (275*t[3])/24 - 23*t[4] + (2239*t[5])/48 + 
       (995*t[6])/48 - (697*t[7])/8 - (655*t[8])/24 - (4883*t[9])/48 + 
       (241*t[10])/8 - (5147*t[11])/48 - (2047*t[12])/48 - 
       (30287*t[13])/432 - (527*t[14])/8 + (671*t[15])/32 - 5*t[18] + 
       2*t[19] - 4*t[20] - 12*t[21] + 5*t[22] + (38*t[23])/3 - 5*t[24] - 
       (8*t[25])/3 + (5*t[26])/3 + (2*t[27])/3 - t[28] - 2*t[29] - 8*t[30] - 
       (13*t[31])/3 - 2*t[32] + (7*t[33])/3 + 2*t[34] + 17*t[35] - 4*t[36] + 
       3*t[37] - 3*t[38] - (16*t[39])/3 + 2*t[40] - (11*t[41])/3 + 
       (17*t[42])/3 + 20*t[43] - t[44] - (179*t[45])/12 + (3*t[46])/2 - 
       (61*t[47])/6 + (407*t[48])/48 + 2*t[49] - (59*t[50])/16 - 
       (23*t[51])/24 + (219*t[52])/16 - 2*t[53] + (613*t[54])/48 - 2*t[58] + 
       5*t[59] - (599*t[60])/8 - (1397*t[61])/8 + (11221*t[62])/48 + 
       (6931*t[63])/48 + (575*t[64])/16 - (4199*t[65])/72 + 
       (18935*t[66])/72 + 4*t[69] + 10*t[70] - 10*t[71] + 6*t[72] - 6*t[73] + 
       3*t[74] + 7*t[75] + 3*t[76] - (7*t[77])/2 + 10*t[79] - 47*t[80] - 
       4*t[81] + (31*t[82])/3 - (19*t[83])/3 - (67*t[84])/8 + 
       (463*t[85])/24 - (809*t[86])/6 + (559*t[87])/24 + (511*t[88])/48 - 
       (895*t[89])/48 + t[97] + 44*t[98] - 86*t[99] + 58*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-13*t[1])/4 + (21*t[2])/2 + 31*t[3] + (389*t[4])/12 + (89*t[5])/4 - 
       (119*t[6])/24 - (175*t[7])/4 - (115*t[8])/4 - (457*t[9])/6 + 
       (971*t[10])/24 - (461*t[11])/24 - (749*t[12])/24 - (263*t[13])/36 - 
       (1001*t[14])/16 + (367*t[15])/72 - 4*t[18] + 2*t[20] - 4*t[21] - 
       4*t[22] + 4*t[23] - (14*t[24])/3 - (5*t[25])/3 + (19*t[26])/6 + 
       (5*t[27])/3 - t[28] - 2*t[29] + 2*t[30] - 3*t[31] + 2*t[32] + 
       (4*t[33])/3 - (27*t[34])/2 - t[35] - 2*t[36] - 2*t[37] - t[38] - 
       (4*t[39])/3 + 2*t[40] + (5*t[41])/4 - (13*t[42])/4 + (31*t[43])/4 + 
       6*t[44] + (17*t[45])/2 - (3*t[46])/2 - 30*t[47] + (53*t[48])/24 + 
       (115*t[49])/24 + (185*t[50])/24 - (77*t[51])/48 - (149*t[52])/24 - 
       (115*t[53])/24 - (571*t[54])/24 - (3*t[58])/2 + (31*t[59])/4 - 
       (877*t[60])/12 - (1027*t[61])/12 + (1879*t[62])/24 + (737*t[63])/24 - 
       (2503*t[64])/24 - (2237*t[65])/36 + (3959*t[66])/36 + 8*t[70] - 
       8*t[71] - 6*t[73] + 2*t[74] + 4*t[75] - (33*t[76])/2 + (7*t[77])/2 + 
       2*t[78] - 4*t[79] - 31*t[80] - (17*t[81])/2 + (17*t[82])/6 + 
       21*t[83] - (49*t[84])/4 - (127*t[85])/12 - 34*t[86] + (667*t[87])/12 + 
       (691*t[88])/24 - (257*t[89])/24 - t[97]/2 - 96*t[98] + 72*t[99] + 
       68*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((-3*t[1])/2 + 4*t[2] + (3*t[3])/4 - (83*t[4])/6 - 
       (85*t[5])/4 - t[6]/3 - (151*t[7])/4 - (147*t[8])/4 - (235*t[9])/6 + 
       (439*t[10])/12 - (889*t[11])/12 - (22*t[12])/3 - (493*t[13])/9 - 
       (201*t[14])/8 + (17*t[15])/4 - 4*t[18] - 4*t[21] + 4*t[22] + 4*t[23] - 
       (20*t[24])/3 - (11*t[25])/3 + (17*t[26])/3 + (11*t[27])/3 - t[28] - 
       4*t[29] + t[31] - (2*t[33])/3 - 9*t[34] - t[35] - 2*t[38] + 
       (2*t[39])/3 - t[40]/2 - 2*t[42] + (37*t[43])/4 + 2*t[44] + 7*t[45] + 
       (5*t[46])/2 - (49*t[47])/2 - (2*t[48])/3 - (46*t[49])/3 - 
       (25*t[50])/6 + (29*t[51])/24 + (55*t[52])/6 + (46*t[53])/3 + 
       (89*t[54])/6 - t[58] + (31*t[59])/4 - (877*t[60])/12 - 
       (1027*t[61])/12 + (1879*t[62])/24 + (737*t[63])/24 - (2503*t[64])/24 - 
       (2237*t[65])/36 + (3959*t[66])/36 + 8*t[70] - 8*t[71] - 6*t[73] + 
       2*t[74] + 4*t[75] - (33*t[76])/2 + (7*t[77])/2 + 2*t[78] - 4*t[79] - 
       31*t[80] - (17*t[81])/2 + (17*t[82])/6 + 21*t[83] - (49*t[84])/4 - 
       (127*t[85])/12 - 34*t[86] + (667*t[87])/12 + (691*t[88])/24 - 
       (257*t[89])/24 - t[97]/2 - 96*t[98] + 72*t[99] + 68*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((3*t[1])/2 + (57*t[2])/2 + 18*t[3] - (65*t[4])/4 + (81*t[5])/4 - 
       (175*t[6])/8 - (15*t[7])/2 + (15*t[8])/2 - (91*t[9])/4 + 
       (37*t[10])/8 - (181*t[11])/8 - (235*t[12])/8 - (101*t[13])/3 - 
       (71*t[14])/16 + (15*t[15])/4 + 5*t[24] - 10*t[25] + 7*t[26] + 
       10*t[27] - 7*t[33] + 3*t[38] + 7*t[39] - (3*t[41])/2 + (3*t[42])/2 - 
       (3*t[43])/2 - 3*t[44] + 3*t[45] + (15*t[46])/2 - 6*t[47] + 
       (25*t[48])/8 - (25*t[49])/8 + t[50]/8 - (37*t[51])/16 - t[52]/8 + 
       (25*t[53])/8 + (25*t[54])/8 - 6*t[59] - (85*t[60])/2 - (169*t[61])/2 + 
       (55*t[62])/4 - (127*t[63])/4 + (53*t[64])/4 - (79*t[65])/3 + 
       (211*t[66])/3 + 30*t[74] + 6*t[78] - 12*t[80] - 15*t[81] + 29*t[82] - 
       6*t[84] - (13*t[85])/2 - 36*t[86] + (25*t[87])/2 + (25*t[88])/4 + 
       (31*t[89])/4 + 36*t[99] + 72*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      (-10*t[1] + (21*t[2])/4 + (191*t[3])/8 - (305*t[4])/24 + 
       (115*t[5])/16 - (263*t[6])/6 - (115*t[7])/2 - (367*t[8])/4 - 
       (3065*t[9])/48 + (433*t[10])/48 - (2633*t[11])/24 + (17*t[12])/3 - 
       (5005*t[13])/72 - (2211*t[14])/32 - (1985*t[15])/288 - 4*t[18] - 
       4*t[21] - 4*t[22] + 4*t[23] - (17*t[24])/3 + (10*t[25])/3 - t[26]/3 + 
       (8*t[27])/3 - 2*t[28] - 2*t[29] + 2*t[30] - 2*t[31] - t[32] + 
       (10*t[33])/3 - 3*t[34] + 8*t[36] + 6*t[37] - 6*t[38] - (16*t[39])/3 + 
       5*t[40] + (3*t[41])/2 - (7*t[42])/2 + (17*t[43])/8 + 5*t[44] - 
       (7*t[45])/2 - 10*t[46] - 26*t[47] - (77*t[48])/12 - (217*t[49])/48 - 
       (119*t[50])/12 - (31*t[51])/96 + (107*t[52])/12 + (265*t[53])/48 + 
       (203*t[54])/24 - 3*t[58] + (41*t[59])/3 - (1805*t[60])/24 - 
       (4847*t[61])/24 + (9797*t[62])/48 + (6403*t[63])/48 + 
       (1165*t[64])/48 - (2935*t[65])/72 + (22375*t[66])/72 + 4*t[69] + 
       10*t[70] - 10*t[71] + 6*t[72] - 6*t[73] - t[74] + 7*t[75] + 3*t[76] - 
       (7*t[77])/2 + 10*t[79] - 47*t[80] - 6*t[81] + (37*t[82])/3 - t[83] - 
       (67*t[84])/8 + (295*t[85])/24 - (215*t[86])/2 + (599*t[87])/24 + 
       (551*t[88])/48 - (1159*t[89])/48 + t[97] + 44*t[98] - 86*t[99] + 
       74*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-23*t[1])/6 - 26*t[2] - (211*t[3])/24 + 
       (83*t[4])/6 - (1075*t[5])/48 + 17*t[6] - (27*t[7])/2 + (9*t[8])/4 - 
       (779*t[9])/48 - (601*t[10])/12 + (671*t[11])/24 + (1955*t[12])/48 + 
       (9223*t[13])/216 - (11033*t[14])/144 - (7067*t[15])/288 + 
       (14*t[18])/3 + (8*t[20])/3 + (14*t[21])/3 + (4*t[22])/3 - 
       (14*t[23])/3 + 7*t[24] + (2*t[25])/3 + (7*t[26])/3 - (10*t[27])/3 + 
       4*t[28] - (20*t[29])/3 + 4*t[30] + 6*t[31] - (10*t[32])/3 + 
       (17*t[33])/3 - (7*t[34])/3 - 2*t[35] + 6*t[36] + (5*t[38])/3 - 
       (11*t[39])/3 + 2*t[40] + (67*t[41])/6 - (53*t[42])/6 + t[43]/24 + 
       (4*t[44])/3 - (56*t[45])/3 + t[46] + 30*t[47] + (137*t[48])/12 - 
       (27*t[49])/2 + (39*t[50])/4 + (157*t[51])/12 - (121*t[52])/12 + 
       (27*t[53])/2 + (9*t[54])/4 + (11*t[58])/3 + (17*t[59])/2 - 19*t[60] + 
       (25*t[61])/4 + (659*t[62])/24 - (2171*t[63])/24 + (1447*t[64])/24 + 
       (4345*t[65])/36 - (445*t[66])/36 + 8*t[69] - (4*t[70])/3 + 
       (4*t[71])/3 - (2*t[72])/3 - 12*t[73] - 10*t[74] + 12*t[75] - 
       (32*t[76])/3 + (11*t[77])/3 + (8*t[78])/3 + (17*t[80])/3 - 
       (11*t[81])/3 - (8*t[82])/3 + (58*t[83])/3 + (7*t[84])/3 - 
       (161*t[85])/6 + (5*t[86])/6 + (515*t[87])/6 + (515*t[88])/12 + 
       (151*t[89])/2 - (7*t[97])/3 - 112*t[98] + 72*t[99] + 84*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-41*t[1])/2 - (241*t[2])/6 - (451*t[3])/12 + (501*t[4])/4 - 
       (1285*t[5])/8 - (89*t[6])/8 + (77*t[7])/6 - (129*t[8])/2 + 
       (3131*t[9])/24 - (1211*t[10])/12 - (143*t[11])/3 + (549*t[12])/8 + 
       (2699*t[13])/144 + (257*t[14])/18 - (789*t[15])/16 - 4*t[24] + 
       14*t[25] - 6*t[27] - 6*t[29] + 4*t[30] + 30*t[31] - 4*t[32] + 
       36*t[35] + 8*t[37] - 14*t[38] + 6*t[40] + t[41]/6 - t[42]/6 - 
       (115*t[43])/6 + 19*t[44] - (211*t[45])/6 - (38*t[46])/3 + 
       (151*t[47])/3 - 40*t[48] + (529*t[49])/12 - (50*t[50])/3 - 
       (361*t[51])/24 + (50*t[52])/3 - (529*t[53])/12 - (133*t[54])/6 + 
       3*t[59] + (359*t[60])/6 - 38*t[61] - (17*t[62])/12 + (1369*t[63])/12 - 
       (209*t[64])/2 - (761*t[65])/9 - (637*t[66])/6 + 8*t[69] - 6*t[72] - 
       (140*t[74])/3 - 4*t[75] - 6*t[77] - 8*t[78] - 60*t[79] - 
       (65*t[80])/3 + (28*t[81])/3 - (52*t[82])/3 + (176*t[83])/3 - 
       (67*t[84])/3 + (181*t[85])/3 + (367*t[86])/3 - (95*t[87])/3 - 
       (95*t[88])/6 - (27*t[89])/4 - 32*t[99] + 87*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*((-5*t[1])/24 - (917*t[2])/24 - 
       (229*t[3])/12 - (3703*t[4])/144 + (4079*t[5])/48 + (8767*t[6])/288 - 
       (647*t[7])/4 - (277*t[8])/12 - (29375*t[9])/144 + (85727*t[10])/288 - 
       (31823*t[11])/288 - (10217*t[12])/288 - (18097*t[13])/432 - 
       (12259*t[14])/192 + (6085*t[15])/144 - (13*t[18])/3 - 4*t[21] + 
       24*t[22] + (32*t[23])/3 - (953*t[24])/36 - (181*t[25])/18 + 
       (233*t[26])/36 + (37*t[27])/18 - 4*t[28] + 3*t[29] - (49*t[31])/3 + 
       4*t[32] + (55*t[33])/36 - 23*t[34] - 20*t[35] - 4*t[37] + 
       (43*t[38])/12 - (199*t[39])/36 + 2*t[40] + (301*t[41])/24 - 
       (433*t[42])/24 + (181*t[43])/12 - t[44]/12 + (857*t[45])/12 - 
       (337*t[46])/24 - (779*t[47])/6 + (491*t[48])/288 - (4007*t[49])/288 + 
       (3827*t[50])/288 + (4645*t[51])/576 - (3827*t[52])/288 + 
       (4007*t[53])/288 - (5341*t[54])/288 - 4*t[58] + (71*t[59])/3 - 
       (6929*t[60])/72 - (11135*t[61])/72 + (36917*t[62])/144 + 
       (17323*t[63])/144 - (30821*t[64])/144 - (10559*t[65])/108 + 
       (33737*t[66])/108 - 2*t[69] + 12*t[70] - 12*t[71] - (187*t[74])/6 - 
       18*t[76] + 23*t[77] - (65*t[78])/6 + 26*t[79] - (409*t[80])/3 + 
       (31*t[81])/12 - (809*t[82])/36 - (37*t[83])/3 - (13*t[84])/6 - 
       (1229*t[85])/72 - (1097*t[86])/6 + (4793*t[87])/72 + 
       (4793*t[88])/144 - (6277*t[89])/144 - 2*t[97] - 72*t[98] - 17*t[99] + 
       91*t[100])*\[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (390*t[2] + 40*t[3] - 288*t[4] + 352*t[5] - 236*t[6] - 240*t[7] - 
       336*t[8] - 336*t[9] + 408*t[10] - 260*t[11] - 136*t[12] - 
       (1502*t[13])/9 + (268*t[14])/3 + (658*t[15])/3 + 32*t[18] - 96*t[21] + 
       112*t[23] + 32*t[27] - 72*t[41] + 72*t[42] + 280*t[45] + 16*t[46] - 
       560*t[47] - 4*t[48] - 48*t[49] + 28*t[50] - 20*t[51] - 28*t[52] + 
       48*t[53] + 20*t[54] - 88*t[59] - 168*t[60] - 264*t[61] + 280*t[62] - 
       16*t[63] - 720*t[64] - (412*t[65])/3 + (1792*t[66])/3 + 96*t[70] - 
       96*t[71] + 192*t[74] + 32*t[78] - 448*t[80] - 96*t[81] + 96*t[82] - 
       8*t[84] - 72*t[85] - 528*t[86] + 56*t[87] + 28*t[88] - 12*t[89] + 
       192*t[99] + 96*t[100])*\[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (-10*t[1] + 32*t[2] + 80*t[3] + 232*t[4] - 264*t[5] + 80*t[6] - 
       76*t[7] + 388*t[8] + 92*t[9] + 384*t[10] - 176*t[11] - 170*t[12] - 
       (3176*t[13])/9 - (58*t[14])/3 - (298*t[15])/3 + 32*t[24] - 32*t[25] + 
       32*t[38] - 132*t[43] - 32*t[44] + 80*t[46] + 16*t[47] + 56*t[48] + 
       20*t[49] - 8*t[50] - 14*t[51] + 8*t[52] - 20*t[53] + 32*t[54] - 
       88*t[59] - 168*t[60] - 264*t[61] + 280*t[62] - 16*t[63] - 720*t[64] - 
       (412*t[65])/3 + (1792*t[66])/3 + 96*t[70] - 96*t[71] + 192*t[74] + 
       32*t[78] - 448*t[80] - 96*t[81] + 96*t[82] - 8*t[84] - 72*t[85] - 
       528*t[86] + 56*t[87] + 28*t[88] - 12*t[89] + 192*t[99] + 96*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((-23*t[1])/8 + (169*t[2])/24 + (815*t[3])/24 + (413*t[4])/144 + 
       (889*t[5])/24 + (4039*t[6])/288 - (2077*t[7])/24 - (125*t[8])/8 - 
       (6721*t[9])/72 + (18095*t[10])/288 - (30623*t[11])/288 - 
       (8711*t[12])/288 - (2291*t[13])/36 - (31817*t[14])/576 + 
       (2167*t[15])/288 - 4*t[18] - 4*t[21] + 16*t[22] + 4*t[23] - 
       (65*t[24])/36 - (109*t[25])/18 + (173*t[26])/36 + (109*t[27])/18 + 
       t[28] + 2*t[29] - 3*t[30] + t[31] + 2*t[32] - (29*t[33])/36 - 
       13*t[34] + t[35] - 2*t[36] + (5*t[38])/4 + (65*t[39])/36 + 3*t[40] - 
       (49*t[41])/8 + (33*t[42])/8 - 6*t[43] - (5*t[44])/4 + (81*t[45])/4 + 
       (41*t[46])/8 - (79*t[47])/2 - (145*t[48])/288 - (467*t[49])/288 - 
       (2425*t[50])/288 - (3095*t[51])/576 + (3289*t[52])/288 + 
       (467*t[53])/288 - (985*t[54])/288 - 2*t[58] - (7*t[59])/2 - 
       (4463*t[60])/72 - (16361*t[61])/72 + (26207*t[62])/144 + 
       (5257*t[63])/144 - (8387*t[64])/144 - (4933*t[65])/54 + 
       (14803*t[66])/54 + 8*t[70] - 8*t[71] + 4*t[72] + 2*t[73] + 
       (21*t[74])/2 - 11*t[76] - 2*t[77] + (5*t[78])/2 + 4*t[79] - 80*t[80] - 
       (53*t[81])/4 + (649*t[82])/36 - 31*t[83] - 10*t[84] + (397*t[85])/72 - 
       (197*t[86])/2 + (287*t[87])/72 + (143*t[88])/144 - (2827*t[89])/144 - 
       48*t[98] + 35*t[99] + 100*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-187*t[1])/24 + (79*t[2])/24 + (865*t[3])/24 + (509*t[4])/48 + 
       (173*t[5])/24 + (343*t[6])/96 - 64*t[7] - (109*t[8])/3 - 
       (737*t[9])/12 + (4799*t[10])/96 - (10955*t[11])/96 - (2035*t[12])/96 - 
       (36415*t[13])/432 - (36743*t[14])/576 - (3605*t[15])/288 - 4*t[18] - 
       4*t[21] - 4*t[22] + 4*t[23] - (23*t[24])/12 - 7*t[25] + 
       (79*t[26])/12 + 7*t[27] - t[28] + 4*t[29] - t[30] + 3*t[31] - 
       (19*t[33])/12 - 5*t[34] + t[35] + 2*t[37] - (7*t[38])/12 + 
       (31*t[39])/12 - t[40] - (5*t[41])/24 - (43*t[42])/24 - 
       (137*t[43])/24 + (55*t[44])/12 + (55*t[45])/6 - (35*t[46])/24 - 
       (118*t[47])/3 + (683*t[48])/96 + (49*t[49])/96 - (541*t[50])/96 - 
       (691*t[51])/192 + (1213*t[52])/96 - (49*t[53])/96 + (97*t[54])/32 - 
       t[58] - (23*t[59])/6 - (513*t[60])/8 - (5561*t[61])/24 + 
       (8767*t[62])/48 + (1673*t[63])/48 - (2755*t[64])/48 - (838*t[65])/9 + 
       (2497*t[66])/9 + 8*t[70] - 8*t[71] + 4*t[72] + 2*t[73] + 
       (73*t[74])/6 - 11*t[76] - 2*t[77] + (17*t[78])/6 + 4*t[79] - 
       (242*t[80])/3 - (169*t[81])/12 + (217*t[82])/12 - 31*t[83] - 
       (31*t[84])/3 + (43*t[85])/8 - (201*t[86])/2 + (107*t[87])/24 + 
       (59*t[88])/48 - (309*t[89])/16 - 48*t[98] + 37*t[99] + 104*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*
      ((241*t[1])/24 - (155*t[2])/24 + (631*t[3])/12 + (16387*t[4])/144 - 
       (5407*t[5])/48 + (4901*t[6])/288 - (1147*t[7])/8 - (2599*t[8])/24 - 
       (3883*t[9])/144 + (25225*t[10])/288 - (46261*t[11])/288 - 
       (8491*t[12])/288 - (10907*t[13])/144 - (55883*t[14])/576 - 
       (338*t[15])/9 - 8*t[18] + 2*t[19] - 6*t[21] - 4*t[22] + 2*t[23] - 
       (217*t[24])/36 + (17*t[25])/9 + (61*t[26])/36 + (55*t[27])/9 + 
       4*t[28] - 17*t[31] + (155*t[33])/36 - 14*t[34] - 2*t[35] - 4*t[37] - 
       (67*t[38])/12 - (11*t[39])/36 - 4*t[40] - (29*t[41])/24 - 
       (115*t[42])/24 - (21*t[43])/8 + (91*t[44])/12 - (101*t[45])/6 + 
       (205*t[46])/24 - (88*t[47])/3 + (7009*t[48])/288 - (109*t[49])/288 - 
       (1319*t[50])/288 - (3889*t[51])/576 + (9095*t[52])/288 + 
       (109*t[53])/288 + (6361*t[54])/288 - 2*t[58] + 22*t[59] - 
       (7699*t[60])/72 - (12745*t[61])/72 + (37387*t[62])/144 + 
       (16133*t[63])/144 - (30211*t[64])/144 - (11509*t[65])/108 + 
       (35527*t[66])/108 - 2*t[69] + 12*t[70] - 12*t[71] - (137*t[74])/6 - 
       18*t[76] + 23*t[77] - (55*t[78])/6 + 26*t[79] - (419*t[80])/3 - 
       (19*t[81])/12 - (799*t[82])/36 - (37*t[83])/3 - (23*t[84])/6 - 
       (1279*t[85])/72 - (1157*t[86])/6 + (4963*t[87])/72 + 
       (4963*t[88])/144 - (6047*t[89])/144 - 2*t[97] - 72*t[98] - 7*t[99] + 
       111*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((55*t[1])/6 + (49*t[2])/6 + (59*t[3])/24 + (175*t[4])/12 - 
       (829*t[5])/48 - (443*t[6])/24 + 43*t[7] - (181*t[8])/12 + 
       (689*t[9])/16 - (1067*t[10])/24 + (419*t[11])/6 - (169*t[12])/48 + 
       (353*t[13])/24 + (565*t[14])/24 - (8281*t[15])/288 + (10*t[18])/3 - 
       (8*t[20])/3 + (10*t[21])/3 + (14*t[22])/3 - (10*t[23])/3 - 
       (44*t[24])/3 - (62*t[25])/3 + 18*t[26] + (46*t[27])/3 + (14*t[29])/3 + 
       6*t[30] - (20*t[32])/3 - 14*t[33] + (34*t[34])/3 - 2*t[36] + t[38] + 
       14*t[39] - t[41]/2 + (13*t[42])/6 - (43*t[43])/8 - 9*t[44] - 
       (14*t[45])/3 + (7*t[46])/6 + (74*t[47])/3 - (17*t[48])/24 + 
       (277*t[49])/24 + (23*t[50])/24 - (215*t[51])/48 - (13*t[52])/8 - 
       (277*t[53])/24 + (45*t[54])/8 + (7*t[58])/3 + (5*t[59])/3 + 50*t[60] + 
       (1709*t[61])/12 - (1279*t[62])/8 - (129*t[63])/8 + (331*t[64])/8 + 
       (2431*t[65])/36 - (6685*t[66])/36 - (20*t[70])/3 + (20*t[71])/3 - 
       (28*t[72])/3 - 4*t[73] + (8*t[74])/3 + 4*t[75] + (32*t[76])/3 + 
       (58*t[77])/3 - (4*t[78])/3 + (143*t[80])/3 + (10*t[81])/3 + 28*t[82] + 
       (8*t[83])/3 + (28*t[84])/3 + (61*t[85])/3 + (259*t[86])/6 - 41*t[87] - 
       (41*t[88])/2 + 27*t[89] - (8*t[97])/3 + 40*t[98] - 28*t[99] + 
       112*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-73*t[1])/24 - (71*t[2])/4 - (839*t[3])/32 - 
       (19541*t[4])/144 - (1409*t[5])/192 - (30091*t[6])/288 + 
       (3419*t[7])/16 - (889*t[8])/8 + (124553*t[9])/576 + 
       (33163*t[10])/288 + (4981*t[11])/36 + (94237*t[12])/576 + 
       (20131*t[13])/216 + (2447*t[14])/144 - (42329*t[15])/1152 + 
       (21*t[18])/2 + (8*t[20])/3 + (13*t[21])/2 - (49*t[22])/6 - 
       (13*t[23])/2 + (103*t[24])/18 - (16*t[25])/9 - t[26]/18 + 
       (191*t[27])/18 - 8*t[28] - (14*t[29])/3 + 10*t[30] + (22*t[31])/3 + 
       (5*t[32])/3 - (203*t[33])/18 + (79*t[34])/2 + 8*t[35] + (3*t[36])/2 - 
       2*t[37] - (7*t[38])/3 + (59*t[39])/18 + (25*t[40])/12 + 
       (175*t[41])/24 - (49*t[42])/24 - (1307*t[43])/96 + (125*t[44])/6 - 
       (55*t[45])/8 - (133*t[46])/8 + (206*t[47])/3 - (17267*t[48])/288 - 
       (5035*t[49])/288 + (7213*t[50])/288 + (12653*t[51])/576 - 
       (15373*t[52])/288 + (4747*t[53])/288 - (6191*t[54])/288 + 2*t[57] + 
       (59*t[58])/12 + (139*t[59])/24 + (3319*t[60])/36 + (53971*t[61])/144 - 
       (125959*t[62])/288 + (17671*t[63])/288 + (4999*t[64])/288 + 
       (106625*t[65])/432 - (150827*t[66])/432 + 6*t[69] - 11*t[70] + 
       11*t[71] + (31*t[72])/2 - 19*t[73] - (133*t[74])/3 + 19*t[75] + 
       34*t[76] + (45*t[77])/2 - (245*t[78])/12 + (685*t[80])/12 + 
       (287*t[81])/12 + (1547*t[82])/36 + (33*t[83])/2 - (55*t[84])/3 + 
       (1465*t[85])/36 + (821*t[86])/8 - (2209*t[87])/36 - (2209*t[88])/72 - 
       (305*t[89])/36 + (23*t[97])/4 + 126*t[98] - 181*t[99] + 115*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-305*t[1])/24 + (109*t[2])/8 + (361*t[3])/48 - (1175*t[4])/72 - 
       (1013*t[5])/24 + (223*t[6])/288 + (61*t[7])/3 + (1859*t[8])/48 + 
       (16769*t[9])/288 + (469*t[10])/144 + (697*t[11])/288 + 
       (4115*t[12])/144 - (2531*t[13])/864 + (205*t[14])/36 - 
       (3625*t[15])/144 - (19*t[18])/12 - 2*t[19] - 4*t[21] + 4*t[22] - 
       (7*t[23])/12 + (107*t[24])/18 - (43*t[25])/18 + (101*t[26])/36 + 
       (79*t[27])/18 - t[28] - 2*t[30] + (89*t[31])/12 - t[32] - 
       (101*t[33])/36 - 8*t[34] + 11*t[35] + 2*t[37] + (19*t[38])/12 + 
       (137*t[39])/36 + 2*t[40] - (55*t[41])/24 + (35*t[42])/12 - 
       (229*t[43])/48 - (79*t[44])/12 - (43*t[45])/16 - (65*t[46])/24 + 
       (301*t[47])/8 - (775*t[48])/288 - (7*t[49])/9 - (5767*t[50])/288 + 
       (455*t[51])/288 + (4615*t[52])/288 + (7*t[53])/9 + (3191*t[54])/288 - 
       (203*t[59])/24 - (2197*t[60])/144 + (32*t[61])/9 - (7913*t[62])/72 - 
       (745*t[63])/18 + (5459*t[64])/72 + (3265*t[65])/108 - 
       (2383*t[66])/27 + 3*t[69] + 2*t[70] - 2*t[71] - 2*t[73] + 
       (137*t[74])/12 + 2*t[75] - 9*t[76] - t[77]/2 + (67*t[78])/6 - 
       2*t[79] - 17*t[80] - (203*t[81])/24 + (737*t[82])/72 + (31*t[83])/12 - 
       (61*t[84])/8 + (2579*t[85])/144 + (451*t[86])/8 - (1547*t[87])/144 - 
       (1547*t[88])/288 + (9115*t[89])/288 - t[97] - 60*t[98] + 85*t[99] + 
       (237*t[100])/2)*\[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((5*t[1])/2 + (95*t[2])/2 + 30*t[3] - (437*t[4])/12 + (183*t[5])/4 - 
       (907*t[6])/24 - (25*t[7])/2 + (25*t[8])/2 - (487*t[9])/12 + 
       (217*t[10])/24 - (1225*t[11])/24 - (1207*t[12])/24 - (421*t[13])/9 + 
       (125*t[14])/48 + (73*t[15])/4 + (65*t[24])/3 - (10*t[25])/3 - 
       (5*t[26])/3 + (10*t[27])/3 + (5*t[33])/3 + 5*t[38] - (5*t[39])/3 - 
       (5*t[41])/2 + (5*t[42])/2 - (5*t[43])/2 - 5*t[44] + 5*t[45] + 
       (25*t[46])/2 - 10*t[47] + (157*t[48])/24 - (157*t[49])/24 + 
       (37*t[50])/24 - (217*t[51])/48 - (37*t[52])/24 + (157*t[53])/24 + 
       (157*t[54])/24 - 10*t[59] - (457*t[60])/6 - (877*t[61])/6 + 
       (307*t[62])/12 - (667*t[63])/12 + (233*t[64])/12 - (331*t[65])/9 + 
       (1183*t[66])/9 + 50*t[74] + 10*t[78] - 20*t[80] - 25*t[81] + 
       (65*t[82])/3 - 10*t[84] - (97*t[85])/6 - 60*t[86] + (157*t[87])/6 + 
       (157*t[88])/12 + (187*t[89])/12 + 60*t[99] + 120*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((15*t[1])/2 - 65*t[2] - (25*t[3])/8 + (189*t[4])/2 - (2149*t[5])/16 + 
       (101*t[6])/16 + (437*t[7])/8 - (645*t[8])/8 + (2631*t[9])/16 - 
       37*t[10] + (435*t[11])/16 + (1267*t[12])/16 + (885*t[13])/16 - 
       (523*t[14])/12 - (21491*t[15])/288 + 4*t[18] - 4*t[19] - 4*t[20] - 
       2*t[21] - 8*t[22] + 2*t[23] - 14*t[24] + 15*t[25] - 3*t[26] + t[27] + 
       6*t[28] + 3*t[29] + 7*t[30] + 2*t[31] - 6*t[32] + 2*t[33] + 15*t[34] + 
       10*t[35] - 8*t[36] + 22*t[37] - 12*t[38] + 2*t[39] - (19*t[40])/2 - 
       (17*t[41])/2 + (19*t[42])/2 - (17*t[43])/2 - (5*t[44])/2 - 
       (151*t[45])/4 - 17*t[46] + (143*t[47])/2 - (75*t[48])/16 + 
       (15*t[49])/8 - (175*t[50])/16 + 2*t[51] + (159*t[52])/16 - 
       (87*t[53])/8 + (387*t[54])/16 + 2*t[58] + 16*t[59] + (1431*t[60])/8 + 
       (857*t[61])/8 - (1237*t[62])/16 + (157*t[63])/16 + (2233*t[64])/16 + 
       (1079*t[65])/8 - (1759*t[66])/8 + 4*t[69] - 8*t[70] + 8*t[71] - 
       4*t[72] + 18*t[73] - 62*t[74] - 6*t[75] + 10*t[76] + 16*t[77] + 
       8*t[79] + 11*t[80] + 47*t[81] - 36*t[82] - 12*t[83] + (203*t[84])/8 + 
       (431*t[85])/8 + (259*t[86])/2 - (647*t[87])/8 - (631*t[88])/16 + 
       (1105*t[89])/16 - 6*t[96] - 4*t[97] + 72*t[98] - 196*t[99] + 
       122*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-9*t[1])/2 - (43*t[2])/6 + (317*t[3])/12 + 
       (91*t[4])/12 + (563*t[5])/8 - (19*t[6])/24 + (913*t[7])/12 - 
       (359*t[8])/4 - (333*t[9])/8 - (145*t[10])/2 - (121*t[11])/12 - 
       (325*t[12])/24 - (127*t[13])/16 - (1619*t[14])/36 + (7*t[15])/48 - 
       (20*t[19])/3 - 8*t[21] + 8*t[23] - (22*t[24])/3 + (14*t[25])/3 - 
       (14*t[26])/3 - (38*t[27])/3 - 12*t[28] + 4*t[30] + 34*t[31] + 
       4*t[32] + (14*t[33])/3 + 8*t[35] + 6*t[37] - (38*t[39])/3 - 4*t[40] - 
       (71*t[41])/6 + (71*t[42])/6 + (205*t[43])/12 + 4*t[44] + t[45]/3 - 
       (41*t[46])/3 + (22*t[47])/3 - (565*t[48])/12 + (161*t[49])/12 + 
       (97*t[50])/4 - (27*t[51])/8 - (97*t[52])/4 - (161*t[53])/12 - 
       (255*t[54])/4 - t[59] + (205*t[60])/6 - (275*t[61])/3 + 
       (77*t[62])/12 + (377*t[63])/4 - (283*t[64])/3 - (317*t[65])/3 - 
       (1195*t[66])/18 + 8*t[69] - 6*t[72] - (80*t[74])/3 - 4*t[75] - 
       6*t[77] - 4*t[78] - 60*t[79] - (89*t[80])/3 - (2*t[81])/3 - 
       (50*t[82])/3 + (176*t[83])/3 - (79*t[84])/3 + (176*t[85])/3 + 
       (295*t[86])/3 - 26*t[87] - 13*t[88] - (35*t[89])/12 - 8*t[99] + 
       135*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*((5*t[1])/3 - (69*t[2])/2 + (529*t[3])/24 - 
       (145*t[4])/6 + (683*t[5])/16 + (62*t[6])/3 - (815*t[7])/8 - 
       (347*t[8])/24 - (5267*t[9])/48 + (157*t[10])/4 - (2921*t[11])/24 - 
       (741*t[12])/16 - (23623*t[13])/216 - (452*t[14])/9 + 
       (6323*t[15])/288 - 4*t[18] - 2*t[19] - 6*t[21] + 8*t[22] + 6*t[23] - 
       t[24] - 4*t[25] + 3*t[26] + 4*t[27] + 2*t[28] + 3*t[31] - 4*t[32] + 
       t[33] - 4*t[34] + 2*t[35] + t[36] + 2*t[37] - t[38] + t[39] + 
       4*t[40] - (9*t[41])/2 + (5*t[42])/2 + (19*t[43])/3 - 3*t[44] + 
       (3*t[45])/2 + (19*t[46])/2 - 31*t[47] + 17*t[48] - (61*t[49])/24 - 
       (73*t[50])/6 - (197*t[51])/48 + (97*t[52])/6 + (61*t[53])/24 + 
       (127*t[54])/12 - 2*t[58] - (7*t[59])/2 - (983*t[60])/12 - 
       (3191*t[61])/12 + (1669*t[62])/6 + (195*t[63])/2 - (65*t[64])/24 - 
       (3065*t[65])/36 + (11963*t[66])/36 - 2*t[69] + 6*t[70] - 6*t[71] - 
       4*t[72] + 2*t[73] + 7*t[74] + t[75] - 4*t[76] + 2*t[77] - 2*t[78] + 
       2*t[79] - 70*t[80] - 9*t[81] + 20*t[82] - (88*t[83])/3 - 
       (49*t[84])/4 + (25*t[85])/4 - (463*t[86])/3 + (139*t[87])/12 + 
       (139*t[88])/24 - (41*t[89])/8 - 26*t[99] + (271*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      ((67*t[1])/24 - (535*t[2])/24 - (173*t[3])/48 - (5537*t[4])/72 + 
       (1339*t[5])/48 - (17069*t[6])/288 + (87*t[7])/4 - (1397*t[8])/48 - 
       (8545*t[9])/288 + (1621*t[10])/144 - (6035*t[11])/288 - 
       (157*t[12])/36 - (30001*t[13])/864 - (843*t[14])/16 + 
       (143*t[15])/288 - (9*t[18])/4 - 8*t[21] + 8*t[22] + (59*t[23])/4 + 
       (41*t[24])/18 - (61*t[25])/18 + (101*t[26])/36 + (205*t[27])/18 - 
       4*t[28] - 6*t[29] + t[30] + (3*t[31])/4 + 10*t[32] - (533*t[33])/36 - 
       8*t[34] + 14*t[35] + 2*t[37] + (43*t[38])/12 + (245*t[39])/36 + 
       (17*t[40])/2 - (55*t[41])/24 + (19*t[42])/12 + (301*t[43])/48 + 
       (173*t[44])/12 + (223*t[45])/48 + (107*t[46])/24 + (323*t[47])/24 - 
       (3319*t[48])/288 - (269*t[49])/18 + (2441*t[50])/288 + 
       (1019*t[51])/288 - (8201*t[52])/288 + (269*t[53])/18 - 
       (3385*t[54])/288 + 4*t[57] - (29*t[59])/24 - (8737*t[60])/144 - 
       (1150*t[61])/9 - (1649*t[62])/72 - (569*t[63])/9 + (10847*t[64])/72 + 
       (3097*t[65])/108 + (1130*t[66])/27 + 8*t[69] - 2*t[70] + 4*t[71] + 
       10*t[73] + (109*t[74])/12 - 28*t[75] + (19*t[76])/2 + 4*t[77] - 
       (70*t[78])/3 + 18*t[79] + (89*t[80])/3 - (259*t[81])/24 + 
       (725*t[82])/72 - (75*t[83])/4 - (253*t[84])/24 - (673*t[85])/144 + 
       (303*t[86])/8 + (7537*t[87])/144 + (7537*t[88])/288 + 
       (10231*t[89])/288 + t[97]/2 + 68*t[98] - 85*t[99] + 140*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      ((-39*t[1])/4 - (33*t[2])/4 + (183*t[3])/8 + (209*t[4])/24 + 
       (565*t[5])/16 + (907*t[6])/48 - 65*t[7] + (299*t[8])/4 - 
       (4165*t[9])/48 + (827*t[10])/48 - (2141*t[11])/48 + (221*t[12])/24 + 
       (619*t[13])/36 - (2277*t[14])/32 - (181*t[15])/96 + 6*t[18] + 
       6*t[20] + 6*t[21] + 2*t[22] - 6*t[23] + (115*t[24])/6 + (2*t[25])/3 - 
       (7*t[26])/6 - (8*t[27])/3 - 4*t[29] + 8*t[31] - 4*t[32] + 
       (91*t[33])/6 - 11*t[34] + 2*t[36] - 2*t[37] + (13*t[38])/2 - 
       (91*t[39])/6 + 12*t[40] + (15*t[41])/4 - (3*t[42])/4 - (45*t[43])/8 + 
       (5*t[44])/2 + 14*t[45] + (3*t[46])/4 - 11*t[47] + (107*t[48])/48 - 
       (383*t[49])/48 - (685*t[50])/48 + (949*t[51])/96 - (131*t[52])/48 + 
       (383*t[53])/48 + (179*t[54])/48 + 3*t[58] - (21*t[59])/2 + 
       (49*t[60])/12 - (590*t[61])/3 + (1675*t[62])/12 - (2755*t[63])/12 - 
       (79*t[64])/12 + (3119*t[65])/36 + (3145*t[66])/36 + 8*t[69] - 
       4*t[70] + 4*t[71] - 2*t[72] + 16*t[73] + t[74] - 18*t[75] - 3*t[76] - 
       14*t[77] + 2*t[78] - 5*t[80] - (15*t[81])/2 - (35*t[82])/6 - 2*t[83] - 
       t[84]/2 - (53*t[85])/12 + (11*t[86])/2 + (389*t[87])/12 + 
       (413*t[88])/24 + (1901*t[89])/24 - t[97] - 24*t[98] + 22*t[99] + 
       143*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (3*t[1] + 53*t[2] + 40*t[3] - (215*t[4])/6 + (93*t[5])/2 - 
       (517*t[6])/12 - 23*t[7] + 51*t[8] - (433*t[9])/6 + (55*t[10])/12 - 
       (463*t[11])/12 - (745*t[12])/12 - (128*t[13])/3 + (65*t[14])/8 + 
       (47*t[15])/2 + (106*t[24])/3 + (16*t[25])/3 - (34*t[26])/3 - 
       (16*t[27])/3 + (34*t[33])/3 + 6*t[38] - (34*t[39])/3 - 3*t[41] + 
       3*t[42] - 3*t[43] - 6*t[44] + 6*t[45] + 15*t[46] - 12*t[47] + 
       (115*t[48])/12 + (29*t[49])/12 - (53*t[50])/12 - (151*t[51])/24 + 
       (53*t[52])/12 - (29*t[53])/12 + (19*t[54])/12 - 12*t[59] - 
       (223*t[60])/3 - (487*t[61])/3 + (133*t[62])/6 - (349*t[63])/6 + 
       (179*t[64])/6 - (554*t[65])/9 + (1058*t[66])/9 + 60*t[74] + 12*t[78] - 
       24*t[80] - 30*t[81] + (46*t[82])/3 - 12*t[84] - (7*t[85])/3 - 
       72*t[86] + (43*t[87])/3 + (43*t[88])/6 + (73*t[89])/6 + 72*t[99] + 
       144*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (3*t[1] + 18*t[2] + (87*t[3])/2 - 10*t[4] + (99*t[5])/2 - (59*t[6])/2 - 
       45*t[7] + 72*t[8] - 71*t[9] - 14*t[10] - (59*t[11])/2 - 94*t[12] - 
       (151*t[13])/3 + (57*t[14])/4 + (163*t[15])/4 + 40*t[24] + 4*t[25] - 
       10*t[26] - 4*t[27] + 6*t[28] - 6*t[32] + 10*t[33] + 6*t[38] - 
       4*t[39] + 6*t[40] - 3*t[41] + 3*t[42] - 6*t[43] - 12*t[44] + 
       21*t[46] - 6*t[47] + 25*t[48] + 11*t[49] - 5*t[50] - (17*t[51])/4 + 
       5*t[52] - 11*t[53] - 2*t[54] - 12*t[59] - 85*t[60] - 169*t[61] + 
       (55*t[62])/2 - (127*t[63])/2 + (53*t[64])/2 - (158*t[65])/3 + 
       (422*t[66])/3 + 60*t[74] + 12*t[78] - 24*t[80] - 30*t[81] + 10*t[82] - 
       12*t[84] - 13*t[85] - 72*t[86] + 25*t[87] + (25*t[88])/2 + 
       (31*t[89])/2 + 72*t[99] + 144*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 1, 0, 1}, 1 - u]*(3*t[1] + 56*t[2] + 37*t[3] - (69*t[4])/2 + 
       (91*t[5])/2 - (179*t[6])/4 - 17*t[7] + 24*t[8] - (109*t[9])/2 + 
       (37*t[10])/4 - (193*t[11])/4 - (243*t[12])/4 - (194*t[13])/3 - 
       (181*t[14])/24 + (31*t[15])/3 + 14*t[24] - 16*t[25] + 10*t[26] + 
       16*t[27] - 10*t[33] + 6*t[38] + 10*t[39] - 3*t[41] + 3*t[42] - 
       3*t[43] - 6*t[44] + 6*t[45] + 15*t[46] - 12*t[47] + (33*t[48])/4 - 
       (21*t[49])/4 + t[50]/4 - (45*t[51])/8 - t[52]/4 + (21*t[53])/4 + 
       (25*t[54])/4 - 12*t[59] - 89*t[60] - 169*t[61] + (59*t[62])/2 - 
       (131*t[63])/2 + (53*t[64])/2 - (158*t[65])/3 + 146*t[66] + 60*t[74] + 
       12*t[78] - 24*t[80] - 30*t[81] + 54*t[82] - 12*t[84] - 17*t[85] - 
       72*t[86] + 29*t[87] + (29*t[88])/2 + (31*t[89])/2 + 72*t[99] + 
       144*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((29*t[1])/12 + (383*t[2])/24 + (1511*t[3])/48 + 
       t[4]/36 + (787*t[5])/24 - (6161*t[6])/144 + (3025*t[7])/96 - 
       (451*t[8])/96 - (3125*t[9])/72 - (6661*t[10])/144 - (691*t[11])/18 - 
       (6211*t[12])/288 - (5003*t[13])/144 - (8555*t[14])/192 - 
       (4229*t[15])/576 - t[21] + 3*t[23] + (155*t[24])/36 - (61*t[25])/9 + 
       (193*t[26])/36 + (43*t[27])/9 + t[28] + 2*t[29] + (21*t[31])/4 + 
       t[32] - (157*t[33])/36 + t[34] + 2*t[35] - 2*t[36] + 3*t[37] + 
       (29*t[38])/12 + (121*t[39])/36 - 3*t[40] - (31*t[41])/8 + 
       (39*t[42])/8 - (1523*t[43])/96 - (17*t[44])/12 + (253*t[45])/12 - 
       (2*t[46])/3 - (89*t[47])/3 - (79*t[48])/144 + (4253*t[49])/288 + 
       (2765*t[50])/144 - (2089*t[51])/576 - (2405*t[52])/144 - 
       (4253*t[53])/288 - (1661*t[54])/72 + t[58] - (97*t[59])/8 - 
       (8033*t[60])/144 - (6623*t[61])/36 - (281*t[62])/9 - (4061*t[63])/72 + 
       (2699*t[64])/36 - (1897*t[65])/108 + (5459*t[66])/54 + 3*t[69] + 
       2*t[70] - 2*t[71] - 2*t[73] - (11*t[74])/12 + 2*t[75] - 9*t[76] - 
       t[77]/2 + (65*t[78])/6 - 2*t[79] - 39*t[80] - (439*t[81])/24 + 
       (1501*t[82])/72 + (53*t[83])/4 - (101*t[84])/8 - (1241*t[85])/144 + 
       (1337*t[86])/24 + (3761*t[87])/144 + (3761*t[88])/288 + 
       (13631*t[89])/288 - t[97] - 60*t[98] + 83*t[99] + (293*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((-17*t[1])/2 + 29*t[2] + (319*t[3])/8 - (77*t[4])/4 + (1161*t[5])/16 - 
       (91*t[6])/12 - (511*t[7])/8 - (881*t[8])/8 - (1367*t[9])/16 + 
       (251*t[10])/4 - (641*t[11])/4 - (167*t[12])/16 - (3319*t[13])/48 - 
       (283*t[14])/3 - (989*t[15])/96 - 3*t[18] + 4*t[19] + t[20] - 4*t[22] - 
       t[23] - 6*t[24] - 6*t[25] + 5*t[26] + 6*t[27] - 6*t[28] + t[29] + 
       2*t[30] - t[31] + 5*t[32] - t[33] - 3*t[34] + 2*t[35] - 2*t[36] + 
       t[37] - t[38] - 5*t[39] - 4*t[40] + 5*t[41] - (55*t[42])/6 + 7*t[43] + 
       5*t[44] + 5*t[45] - (17*t[46])/2 - 42*t[47] - (97*t[48])/8 - 
       (59*t[49])/8 + (43*t[50])/8 - (63*t[51])/16 - (11*t[52])/8 + 
       (59*t[53])/8 + (59*t[54])/8 - 2*t[58] + (31*t[59])/6 - (329*t[60])/4 - 
       (1173*t[61])/4 + (497*t[62])/2 + (173*t[63])/2 - (115*t[64])/8 - 
       (811*t[65])/12 + (4561*t[66])/12 - 2*t[69] + 6*t[70] - 6*t[71] - 
       4*t[72] + 2*t[73] + 3*t[74] + t[75] - 4*t[76] + 2*t[77] - 2*t[78] + 
       2*t[79] - 70*t[80] - 11*t[81] + 22*t[82] - 24*t[83] - (49*t[84])/4 - 
       (3*t[85])/4 - 127*t[86] + (53*t[87])/4 + (53*t[88])/8 - (85*t[89])/8 - 
       26*t[99] + (303*t[100])/2)*\[Zeta][2] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-29*t[1])/4 + (67*t[2])/12 - (125*t[3])/6 + 
       (4433*t[4])/72 - (1717*t[5])/24 - (1295*t[6])/144 - (403*t[7])/12 - 
       (305*t[8])/4 + (4021*t[9])/72 + (3143*t[10])/144 - (6365*t[11])/144 + 
       (10831*t[12])/144 - (1193*t[13])/36 - (16697*t[14])/288 - 
       (409*t[15])/9 - (647*t[24])/18 - (121*t[25])/9 + (287*t[26])/18 + 
       (139*t[27])/9 + 4*t[28] - 4*t[29] - 2*t[30] - 8*t[31] + 6*t[32] - 
       (431*t[33])/18 - 10*t[34] - 4*t[35] - 4*t[36] + 4*t[37] - 
       (3*t[38])/2 + (179*t[39])/18 - 5*t[40] + (9*t[41])/4 - (9*t[42])/4 - 
       (37*t[43])/4 + (29*t[44])/2 + (11*t[45])/2 - (9*t[46])/4 + 10*t[47] - 
       (1759*t[48])/144 - (3875*t[49])/144 + (1721*t[50])/144 - 
       (1751*t[51])/288 - (1145*t[52])/144 + (4163*t[53])/144 + 
       (245*t[54])/144 + 2*t[58] - t[59]/2 - (359*t[60])/9 - (2015*t[61])/9 + 
       (2257*t[62])/36 - (1969*t[63])/36 - (2995*t[64])/36 + 
       (4655*t[65])/108 + (19813*t[66])/108 + 8*t[69] - 4*t[70] + 4*t[71] - 
       6*t[72] + 16*t[73] - 29*t[74] - 40*t[75] + 6*t[76] - 6*t[77] - 
       46*t[78] - 60*t[80] + (3*t[81])/2 - (95*t[82])/18 - 40*t[83] - 
       (51*t[84])/4 + (82*t[85])/9 + 38*t[86] + (701*t[87])/9 + 
       (701*t[88])/18 + (1861*t[89])/36 - 3*t[97] + 64*t[98] - 150*t[99] + 
       160*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      (5*t[1] + (643*t[2])/24 + (2189*t[3])/48 + (353*t[4])/18 + 
       (1493*t[5])/48 + (1363*t[6])/144 - (225*t[7])/32 + (2713*t[8])/96 - 
       (7435*t[9])/144 - (6403*t[10])/144 - (1723*t[11])/72 - 
       (7189*t[12])/288 - (9931*t[13])/432 - (8503*t[14])/192 - 
       (20195*t[15])/576 + (131*t[24])/36 - (67*t[25])/9 + (55*t[26])/36 - 
       (5*t[27])/9 + 2*t[28] + 2*t[29] - 4*t[30] - (39*t[31])/4 + t[32] - 
       (109*t[33])/36 - (3*t[34])/2 - 6*t[35] + 6*t[36] + 8*t[37] + 
       (65*t[38])/12 - (107*t[39])/36 - 2*t[40] + t[41]/24 - t[42]/24 - 
       (995*t[43])/96 - (17*t[44])/12 - (89*t[45])/6 + (25*t[46])/6 + 
       (92*t[47])/3 + (2525*t[48])/144 + (2717*t[49])/288 - (967*t[50])/144 - 
       (5137*t[51])/576 + (1471*t[52])/144 - (2429*t[53])/288 + t[54]/72 + 
       (3*t[58])/2 - (23*t[59])/8 - (10277*t[60])/144 - (5405*t[61])/36 - 
       (707*t[62])/36 - (5147*t[63])/72 + (1394*t[64])/9 + (2147*t[65])/108 + 
       (3155*t[66])/54 + 8*t[69] - 2*t[70] + 4*t[71] + 10*t[73] + 
       (209*t[74])/12 - 28*t[75] + (19*t[76])/2 + 4*t[77] - (65*t[78])/3 + 
       18*t[79] + (79*t[80])/3 - (359*t[81])/24 + (745*t[82])/72 - 
       (75*t[83])/4 - (293*t[84])/24 - (773*t[85])/144 + (223*t[86])/8 + 
       (7877*t[87])/144 + (7877*t[88])/288 + (10691*t[89])/288 + t[97]/2 + 
       68*t[98] - 75*t[99] + 160*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((129*t[1])/8 - 
       (1127*t[2])/24 - (1615*t[3])/96 + (1463*t[4])/144 - (8755*t[5])/192 - 
       (299*t[6])/72 + (2453*t[7])/96 + (2247*t[8])/32 + (28693*t[9])/576 - 
       (6551*t[10])/144 + (12059*t[11])/144 + (24731*t[12])/576 + 
       (3559*t[13])/192 - (6877*t[14])/288 - (7379*t[15])/384 + (7*t[18])/2 - 
       4*t[19] - (15*t[20])/2 + (3*t[21])/2 + t[22] - (3*t[23])/2 - 
       (301*t[24])/18 - (67*t[25])/18 + (157*t[26])/18 + (139*t[27])/18 + 
       (7*t[29])/2 - (15*t[31])/2 + 2*t[32] - (211*t[33])/18 - (3*t[34])/2 + 
       (7*t[36])/2 + (7*t[38])/4 + (211*t[39])/18 - t[40] - (13*t[41])/8 + 
       (35*t[42])/8 - (113*t[43])/16 + (7*t[44])/4 + (33*t[45])/16 + 
       (47*t[46])/8 + (171*t[47])/8 + (4667*t[48])/288 - (6071*t[49])/288 - 
       (61*t[50])/288 + (4477*t[51])/576 - (1811*t[52])/288 + 
       (6071*t[53])/288 - (3517*t[54])/288 + (19*t[58])/4 - (13*t[59])/4 + 
       (122*t[60])/9 + (863*t[61])/144 - (16271*t[62])/288 - 
       (61777*t[63])/288 + (51875*t[64])/288 + (84829*t[65])/432 - 
       (42751*t[66])/432 + 2*t[69] - 17*t[70] + 17*t[71] + 7*t[73] - 
       26*t[74] - 7*t[75] - 3*t[76] - (5*t[77])/2 - 3*t[78] + (141*t[80])/4 + 
       (7*t[81])/2 - (7*t[82])/18 - 4*t[83] + (5*t[84])/2 - (583*t[85])/36 + 
       (721*t[86])/8 + (2113*t[87])/36 + (2113*t[88])/72 + (3275*t[89])/36 - 
       2*t[97] - 54*t[98] + 9*t[99] + 168*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-17*t[1])/2 - 110*t[2] - (157*t[3])/2 - (1357*t[4])/24 + 
       (89*t[5])/16 + (1043*t[6])/24 + 49*t[7] + (207*t[8])/4 + 
       (2579*t[9])/48 + (3629*t[10])/48 + (205*t[11])/3 + (1367*t[12])/24 + 
       (1627*t[13])/18 + (2431*t[14])/96 - (185*t[15])/32 + 4*t[18] - 
       2*t[22] - (49*t[24])/3 + (14*t[25])/3 - (14*t[26])/3 - (62*t[27])/3 - 
       6*t[28] + (3*t[29])/2 - 6*t[30] + 6*t[31] + 4*t[32] + (11*t[33])/3 + 
       5*t[34] - 26*t[35] - 18*t[36] + 18*t[37] - (41*t[39])/3 - 
       (23*t[40])/2 + (33*t[41])/2 - (29*t[42])/2 + (107*t[43])/8 + 
       (5*t[44])/4 + 6*t[45] - 15*t[46] + 18*t[47] - (761*t[48])/24 + 
       (523*t[49])/48 + (115*t[50])/24 + (841*t[51])/96 - (187*t[52])/24 - 
       (715*t[53])/48 - (331*t[54])/12 - 2*t[57] + 12*t[59] + 
       (3677*t[60])/24 + (1283*t[61])/24 - (3335*t[62])/48 - (481*t[63])/48 + 
       (7187*t[64])/48 + (8191*t[65])/72 - (12967*t[66])/72 + 4*t[69] - 
       8*t[70] + 8*t[71] - 4*t[72] + 18*t[73] - 42*t[74] - 6*t[75] + 
       10*t[76] + 16*t[77] + 4*t[78] + 8*t[79] + 3*t[80] + 37*t[81] - 
       (106*t[82])/3 - 12*t[83] + (171*t[84])/8 + (1253*t[85])/24 + 
       (211*t[86])/2 - (1805*t[87])/24 - (1757*t[88])/48 + (3499*t[89])/48 - 
       6*t[96] - 4*t[97] + 72*t[98] - 172*t[99] + 170*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*((131*t[1])/6 - (34*t[2])/3 + 
       (1627*t[3])/48 - (1915*t[4])/48 + (95*t[5])/12 - (8219*t[6])/96 + 
       (29*t[7])/16 - (1633*t[8])/48 - (181*t[9])/4 - (2675*t[10])/32 + 
       (1691*t[11])/32 - (853*t[12])/32 - (49825*t[13])/864 - 
       (9275*t[14])/192 - (5*t[15])/144 + (4*t[18])/3 - 2*t[19] - 
       (4*t[20])/3 - (8*t[21])/3 - (11*t[22])/3 + (8*t[23])/3 + (5*t[24])/3 - 
       (41*t[25])/6 + (11*t[26])/2 + (7*t[27])/6 - 3*t[28] - (59*t[29])/12 - 
       (25*t[30])/2 - (16*t[31])/3 + (8*t[32])/3 - (17*t[33])/3 - 
       (61*t[34])/6 + 12*t[35] - 8*t[36] + 2*t[37] + (35*t[38])/6 + 
       (5*t[39])/3 + (31*t[40])/6 - (20*t[41])/3 + (28*t[42])/3 + 
       (421*t[43])/48 + (127*t[44])/24 + (191*t[45])/24 + (221*t[46])/12 + 
       (9*t[47])/4 + (1105*t[48])/96 - (2333*t[49])/96 + (149*t[50])/96 + 
       (405*t[51])/64 - (1285*t[52])/96 + (2285*t[53])/96 - (1019*t[54])/96 + 
       3*t[57] + (13*t[58])/6 - 5*t[59] - (177*t[60])/2 - (543*t[61])/4 - 
       (1025*t[62])/24 - (2971*t[63])/24 + (6821*t[64])/24 + 
       (1121*t[65])/36 + (283*t[66])/36 - 5*t[69] - (38*t[70])/3 + 
       (38*t[71])/3 + (2*t[72])/3 + 41*t[74] - 23*t[75] - (28*t[76])/3 + 
       (10*t[77])/3 - (11*t[78])/3 + 16*t[79] + (160*t[80])/3 - 
       (85*t[81])/3 + (56*t[82])/3 - (29*t[83])/6 - (59*t[84])/6 - 
       (74*t[85])/3 + (61*t[86])/6 + (221*t[87])/3 + (221*t[88])/6 + 
       (179*t[89])/4 - (5*t[97])/3 - 72*t[98] + 86*t[99] + 184*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((155*t[1])/12 - (55*t[2])/12 + (893*t[3])/24 + (2189*t[4])/72 + 
       (1583*t[5])/48 - (3191*t[6])/144 - (1775*t[7])/24 + (893*t[8])/24 - 
       (11569*t[9])/144 - (6235*t[10])/144 - (6005*t[11])/144 - 
       (2375*t[12])/36 - (19951*t[13])/432 - (12683*t[14])/288 + 
       (3971*t[15])/288 + (2*t[18])/3 - (8*t[20])/3 + (2*t[21])/3 + 
       (32*t[22])/3 - (2*t[23])/3 + (205*t[24])/18 + (17*t[25])/9 - 
       (55*t[26])/18 + (7*t[27])/9 + 4*t[28] + (20*t[29])/3 - 6*t[30] - 
       (20*t[31])/3 - (2*t[32])/3 + (49*t[33])/18 - (16*t[34])/3 + 2*t[35] + 
       6*t[36] + (25*t[38])/6 + (23*t[39])/18 + (4*t[40])/3 - (91*t[41])/12 + 
       (95*t[42])/12 - (91*t[43])/12 - (31*t[44])/6 - (37*t[45])/12 + 
       (175*t[46])/12 - (5*t[47])/2 + (2555*t[48])/144 - (623*t[49])/144 + 
       (467*t[50])/144 - (491*t[51])/288 - (275*t[52])/144 + 
       (623*t[53])/144 - (4189*t[54])/144 + (4*t[58])/3 - 16*t[59] - 
       (2579*t[60])/36 - (3086*t[61])/9 + (1735*t[62])/9 - (1564*t[63])/9 + 
       (3725*t[64])/36 - (3685*t[65])/108 + (24193*t[66])/108 - 6*t[69] - 
       (34*t[70])/3 + (34*t[71])/3 + (10*t[72])/3 + 20*t[73] + 27*t[74] - 
       20*t[75] - (17*t[76])/3 - (22*t[77])/3 + (11*t[78])/3 - (13*t[80])/3 - 
       (127*t[81])/6 + (19*t[82])/18 - (86*t[83])/3 - (17*t[84])/3 - 
       (305*t[85])/36 - (229*t[86])/6 + (773*t[87])/36 + (773*t[88])/72 + 
       (1877*t[89])/72 - (4*t[97])/3 - 16*t[98] + 30*t[99] + 198*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((137*t[1])/24 - (521*t[2])/24 + (2215*t[3])/96 - (1085*t[4])/48 + 
       (4471*t[5])/192 + (71*t[6])/96 + (163*t[7])/16 + (841*t[8])/24 - 
       (7093*t[9])/192 - (5993*t[10])/96 + (677*t[11])/24 + (2217*t[12])/64 + 
       (21029*t[13])/432 - (23569*t[14])/288 - (3681*t[15])/128 + 
       (23*t[18])/2 + 4*t[19] + (7*t[20])/2 + (23*t[21])/2 + 4*t[22] - 
       (23*t[23])/2 + (103*t[24])/6 - (37*t[25])/6 + (11*t[26])/2 + 
       (13*t[27])/6 - (7*t[29])/2 + 4*t[31] - 2*t[32] + (13*t[33])/2 - 
       (7*t[34])/2 + (7*t[36])/2 + (89*t[38])/12 - (13*t[39])/2 + 3*t[40] + 
       (163*t[41])/24 - (49*t[42])/24 - (1067*t[43])/96 + (49*t[44])/12 - 
       (41*t[45])/24 - (5*t[46])/24 + (383*t[47])/12 + (415*t[48])/96 - 
       (2047*t[49])/96 - (137*t[50])/96 + (1023*t[51])/64 - (679*t[52])/96 + 
       (2047*t[53])/96 + (527*t[54])/96 + (19*t[58])/4 - (79*t[59])/12 - 
       (47*t[60])/6 - (1859*t[61])/48 - (1599*t[62])/32 - (7393*t[63])/32 + 
       (6035*t[64])/32 + (8581*t[65])/48 - (1053*t[66])/16 + 2*t[69] - 
       17*t[70] + 17*t[71] + 7*t[73] - (28*t[74])/3 - 7*t[75] - 3*t[76] - 
       (5*t[77])/2 + t[78]/3 + (343*t[80])/12 - (29*t[81])/6 + t[82]/6 - 
       4*t[83] - (5*t[84])/6 - (211*t[85])/12 + (561*t[86])/8 + 
       (761*t[87])/12 + (761*t[88])/24 + (565*t[89])/6 - 2*t[97] - 54*t[98] + 
       29*t[99] + 208*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2*(t[1]/12 - 31*t[2] + (2443*t[3])/96 - 
       (431*t[4])/24 + (4573*t[5])/192 - (13*t[6])/8 - (189*t[7])/8 - 
       (105*t[8])/16 - (15751*t[9])/192 - (109*t[10])/6 - (1169*t[11])/96 + 
       (2131*t[12])/192 + (1157*t[13])/864 - (31915*t[14])/576 + 
       (119*t[15])/384 + (17*t[18])/6 + 2*t[19] + (4*t[20])/3 + 
       (29*t[21])/6 - (4*t[22])/3 - (29*t[23])/6 + 10*t[24] - (17*t[25])/3 + 
       (37*t[26])/6 + (5*t[27])/6 + 5*t[28] + (29*t[29])/12 + 9*t[30] + 
       5*t[31] + (17*t[32])/6 + (46*t[33])/3 + (25*t[34])/12 + 4*t[35] - 
       (25*t[36])/2 - 7*t[37] - (5*t[38])/3 - (16*t[39])/3 - (3*t[40])/2 + 
       (10*t[41])/3 - (23*t[42])/12 + (185*t[43])/96 + (217*t[44])/24 + 
       (5*t[45])/3 + (47*t[46])/8 - t[47] - (55*t[48])/24 - (85*t[49])/16 - 
       6*t[50] - (89*t[51])/96 + (7*t[52])/12 + (77*t[53])/16 - 
       (101*t[54])/8 - t[57] + t[58]/12 + (11*t[59])/8 - (65*t[60])/4 - 
       (1351*t[61])/16 + (4585*t[62])/96 - (4153*t[63])/96 - 
       (2233*t[64])/96 + (8537*t[65])/144 + (7333*t[66])/144 - t[69] - 
       (17*t[70])/3 + (17*t[71])/3 + (25*t[72])/6 + 5*t[73] - 25*t[74] + 
       18*t[75] + (31*t[76])/6 + (29*t[77])/6 - (23*t[78])/12 - 16*t[79] + 
       (295*t[80])/12 + (53*t[81])/12 + (71*t[82])/12 - (22*t[83])/3 - 
       (175*t[84])/12 + (139*t[85])/12 - (323*t[86])/24 + (65*t[87])/12 + 
       (65*t[88])/24 + 3*t[89] + (13*t[97])/12 + 14*t[98] - 89*t[99] + 
       236*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      ((149*t[1])/24 - (109*t[2])/12 + (821*t[3])/96 - (65*t[4])/24 - 
       (577*t[5])/192 - (1367*t[6])/96 - (9*t[7])/32 - (5651*t[8])/96 + 
       (3519*t[9])/64 + (873*t[10])/32 - (515*t[11])/32 + (2635*t[12])/64 + 
       (17443*t[13])/1728 - (4883*t[14])/192 - (1867*t[15])/128 + 
       (5*t[18])/6 - (10*t[20])/3 + (41*t[21])/6 + (11*t[22])/6 - 
       (41*t[23])/6 - t[24]/3 + (7*t[25])/6 - t[26] + (11*t[27])/3 + 
       3*t[28] + (37*t[29])/12 - (13*t[30])/2 - t[31]/3 - (10*t[32])/3 + 
       (17*t[33])/6 + (22*t[34])/3 - 12*t[35] + (19*t[36])/2 - 2*t[37] - 
       t[38]/6 + (19*t[39])/6 - (37*t[40])/12 + (59*t[41])/24 - 
       (49*t[42])/24 - (41*t[43])/12 + (91*t[44])/24 - (893*t[45])/48 + 
       (91*t[46])/24 + (293*t[47])/8 - (46*t[48])/3 - (775*t[49])/48 + 
       (137*t[50])/24 + (93*t[51])/32 - (37*t[52])/24 + (799*t[53])/48 - 
       (43*t[54])/3 - 3*t[57] + (11*t[58])/12 + (11*t[59])/8 - (65*t[60])/4 - 
       (1351*t[61])/16 + (4585*t[62])/96 - (4153*t[63])/96 - 
       (2233*t[64])/96 + (8537*t[65])/144 + (7333*t[66])/144 - t[69] - 
       (17*t[70])/3 + (17*t[71])/3 + (25*t[72])/6 + 5*t[73] - 25*t[74] + 
       18*t[75] + (31*t[76])/6 + (29*t[77])/6 - (23*t[78])/12 - 16*t[79] + 
       (295*t[80])/12 + (53*t[81])/12 + (71*t[82])/12 - (22*t[83])/3 - 
       (175*t[84])/12 + (139*t[85])/12 - (323*t[86])/24 + (65*t[87])/12 + 
       (65*t[88])/24 + 3*t[89] + (13*t[97])/12 + 14*t[98] - 89*t[99] + 
       236*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((7*t[1])/2 - (11*t[2])/2 + 39*t[3] + (143*t[4])/4 + (237*t[5])/4 - 
       (37*t[6])/8 - 6*t[7] - 41*t[8] - (179*t[9])/4 - (1351*t[10])/8 - 
       (107*t[11])/8 - (591*t[12])/8 + (65*t[13])/2 + (103*t[14])/48 - 
       (131*t[15])/4 + 7*t[24] - 12*t[25] + 13*t[26] + 4*t[27] + 26*t[31] - 
       13*t[33] + 32*t[35] + 8*t[37] - t[38] + 13*t[39] - (3*t[41])/2 + 
       (3*t[42])/2 + (7*t[43])/2 - 5*t[44] - 3*t[45] - (33*t[46])/2 + 
       4*t[47] - (93*t[48])/8 + (503*t[49])/8 + (27*t[50])/8 - 
       (245*t[51])/16 - (27*t[52])/8 - (503*t[53])/8 - (665*t[54])/8 + 
       7*t[59] + (139*t[60])/2 - (275*t[61])/2 + (69*t[62])/4 + 
       (163*t[63])/4 - (281*t[64])/4 - (189*t[65])/2 - (29*t[66])/6 + 
       10*t[69] - 32*t[70] + 32*t[71] - 22*t[74] - 6*t[75] + 2*t[78] - 
       96*t[79] + 18*t[80] - 8*t[81] + 16*t[82] + 39*t[83] - (39*t[84])/2 + 
       (167*t[85])/2 + 84*t[86] - (181*t[87])/2 - (181*t[88])/4 + 
       (105*t[89])/4 + 36*t[99] + 240*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*((3*t[1])/2 + 8*t[2] - 
       (17*t[4])/4 - (161*t[5])/4 - (197*t[6])/8 + 184*t[7] - 37*t[8] + 
       (483*t[9])/4 - (795*t[10])/8 - (247*t[11])/8 + (241*t[12])/8 - 
       (611*t[13])/12 + (625*t[14])/16 + (65*t[15])/6 - 2*t[18] - 8*t[19] + 
       22*t[21] - 24*t[23] - t[24] - 10*t[25] + 7*t[26] + 18*t[27] + 
       60*t[31] - 7*t[33] + 44*t[35] + 2*t[37] + 3*t[38] + 7*t[39] + 
       (3*t[41])/2 - (3*t[42])/2 + (27*t[43])/2 + 3*t[44] - 71*t[45] + 
       (11*t[46])/2 + 106*t[47] - (565*t[48])/8 - (45*t[49])/8 - 
       (85*t[50])/8 - (193*t[51])/16 + (85*t[52])/8 + (45*t[53])/8 - 
       (41*t[54])/8 + 7*t[59] + (139*t[60])/2 - (275*t[61])/2 + 
       (69*t[62])/4 + (163*t[63])/4 - (281*t[64])/4 - (189*t[65])/2 - 
       (29*t[66])/6 + 10*t[69] - 32*t[70] + 32*t[71] - 22*t[74] - 6*t[75] + 
       2*t[78] - 96*t[79] + 18*t[80] - 8*t[81] + 16*t[82] + 39*t[83] - 
       (39*t[84])/2 + (167*t[85])/2 + 84*t[86] - (181*t[87])/2 - 
       (181*t[88])/4 + (105*t[89])/4 + 36*t[99] + 240*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 0, 1, 1}, 1 - u]*(5*t[1] + 95*t[2] + 60*t[3] - (325*t[4])/6 + 
       (135*t[5])/2 - (875*t[6])/12 - 25*t[7] + 25*t[8] - (455*t[9])/6 + 
       (185*t[10])/12 - (905*t[11])/12 - (1175*t[12])/12 - (1010*t[13])/9 - 
       (355*t[14])/24 + (25*t[15])/2 + (50*t[24])/3 - (100*t[25])/3 + 
       (70*t[26])/3 + (100*t[27])/3 - (70*t[33])/3 + 10*t[38] + 
       (70*t[39])/3 - 5*t[41] + 5*t[42] - 5*t[43] - 10*t[44] + 10*t[45] + 
       25*t[46] - 20*t[47] + (125*t[48])/12 - (125*t[49])/12 + (5*t[50])/12 - 
       (185*t[51])/24 - (5*t[52])/12 + (125*t[53])/12 + (125*t[54])/12 - 
       20*t[59] - (425*t[60])/3 - (845*t[61])/3 + (275*t[62])/6 - 
       (635*t[63])/6 + (265*t[64])/6 - (790*t[65])/9 + (2110*t[66])/9 + 
       100*t[74] + 20*t[78] - 40*t[80] - 50*t[81] + (290*t[82])/3 - 
       20*t[84] - (65*t[85])/3 - 120*t[86] + (125*t[87])/3 + (125*t[88])/6 + 
       (155*t[89])/6 + 120*t[99] + 240*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (t[1] - (5*t[2])/2 + (499*t[3])/4 - (424*t[4])/3 + (1881*t[5])/8 - 
       (649*t[6])/12 - (223*t[7])/2 + 20*t[8] - (4837*t[9])/24 + 
       (161*t[10])/6 - (995*t[11])/6 - (3167*t[12])/24 - (1882*t[13])/9 - 
       (2911*t[14])/24 + (5147*t[15])/144 - 4*t[19] - 4*t[21] + 4*t[23] + 
       (52*t[24])/3 - (140*t[25])/3 + (104*t[26])/3 + (128*t[27])/3 + 
       2*t[28] - 2*t[29] - t[30] + 2*t[31] - 3*t[32] - (107*t[33])/3 - 
       8*t[34] + 8*t[35] - 16*t[36] - 2*t[37] + 14*t[38] + (134*t[39])/3 + 
       9*t[40] - 3*t[41] + 3*t[42] - (15*t[43])/4 - 8*t[44] + 34*t[45] + 
       51*t[46] - 75*t[47] + (601*t[48])/12 - (149*t[49])/6 + (25*t[50])/12 - 
       (31*t[51])/6 - (97*t[52])/12 + (149*t[53])/6 + (163*t[54])/12 - 
       (53*t[59])/2 - (460*t[60])/3 - (2609*t[61])/6 + (1885*t[62])/6 - 
       (397*t[63])/6 + (793*t[64])/12 - (589*t[65])/18 + (11701*t[66])/18 + 
       4*t[73] + 96*t[74] + 6*t[75] - 7*t[76] + 3*t[77] + 4*t[78] + 6*t[79] - 
       70*t[80] - 68*t[81] + (472*t[82])/3 - 110*t[83] - (17*t[84])/2 - 
       (187*t[85])/3 - 301*t[86] + (28*t[87])/3 + (20*t[88])/3 + 
       (86*t[89])/3 - t[97] - 48*t[98] + 136*t[99] + 244*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((13*t[1])/2 + 118*t[2] + (349*t[3])/4 - (341*t[4])/6 + (1319*t[5])/8 - 
       (76*t[6])/3 - (263*t[7])/4 + (125*t[8])/4 - (3805*t[9])/24 + 
       (353*t[10])/6 - (646*t[11])/3 - (1331*t[12])/24 - (4493*t[13])/24 - 
       (229*t[14])/4 - (3313*t[15])/144 - 4*t[19] + 4*t[20] + 8*t[21] - 
       2*t[22] - 8*t[23] - (2*t[24])/3 - (116*t[25])/3 + (89*t[26])/3 + 
       (116*t[27])/3 + 10*t[28] + 2*t[29] + 6*t[30] + 18*t[31] + 12*t[32] - 
       (86*t[33])/3 - t[34] - 8*t[35] + 4*t[37] + 10*t[38] + (86*t[39])/3 - 
       18*t[40] - (11*t[41])/2 + (11*t[42])/2 - (21*t[43])/2 - 10*t[44] + 
       (35*t[45])/2 + 10*t[46] - 49*t[47] + (247*t[48])/12 - (355*t[49])/12 - 
       (269*t[50])/12 - (745*t[51])/24 + (281*t[52])/12 + (343*t[53])/12 + 
       (739*t[54])/12 + t[58] - (53*t[59])/2 - (460*t[60])/3 - 
       (2609*t[61])/6 + (1885*t[62])/6 - (397*t[63])/6 + (793*t[64])/12 - 
       (589*t[65])/18 + (11701*t[66])/18 + 4*t[73] + 96*t[74] + 6*t[75] - 
       7*t[76] + 3*t[77] + 4*t[78] + 6*t[79] - 70*t[80] - 68*t[81] + 
       (472*t[82])/3 - 110*t[83] - (17*t[84])/2 - (187*t[85])/3 - 301*t[86] + 
       (28*t[87])/3 + (20*t[88])/3 + (86*t[89])/3 - t[97] - 48*t[98] + 
       136*t[99] + 244*t[100])*\[Zeta][2] + Qep[u, v, w]*
      ((16*t[1])/3 + (272*t[2])/3 + (224*t[3])/3 - (584*t[4])/9 + 
       (248*t[5])/3 - (668*t[6])/9 - 48*t[7] + (368*t[8])/3 - (1336*t[9])/9 + 
       (20*t[10])/9 - (500*t[11])/9 - (1004*t[12])/9 - (1312*t[13])/27 + 
       34*t[14] + (520*t[15])/9 + (800*t[24])/9 + (320*t[25])/9 - 
       (416*t[26])/9 - (320*t[27])/9 + (416*t[33])/9 + (32*t[38])/3 - 
       (416*t[39])/9 - (16*t[41])/3 + (16*t[42])/3 - (16*t[43])/3 - 
       (32*t[44])/3 + (32*t[45])/3 + (80*t[46])/3 - (64*t[47])/3 + 
       (164*t[48])/9 + (124*t[49])/9 - (124*t[50])/9 - (106*t[51])/9 + 
       (124*t[52])/9 - (124*t[53])/9 - (28*t[54])/9 - (64*t[59])/3 - 
       (1040*t[60])/9 - (2384*t[61])/9 + (280*t[62])/9 - (856*t[63])/9 + 
       (584*t[64])/9 - (3808*t[65])/27 + (4192*t[66])/27 + (320*t[74])/3 + 
       (64*t[78])/3 - (128*t[80])/3 - (160*t[81])/3 - (160*t[82])/9 - 
       (64*t[84])/3 + (112*t[85])/9 - 128*t[86] + (80*t[87])/9 + 
       (40*t[88])/9 + (88*t[89])/9 + 128*t[99] + 256*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((16*t[1])/3 + (190*t[2])/3 + 
       (349*t[3])/24 - (715*t[4])/9 + (1573*t[5])/48 - (4703*t[6])/72 + 
       (2099*t[7])/24 + (655*t[8])/24 + (10585*t[9])/144 + (1163*t[10])/72 + 
       (2995*t[11])/72 - (3043*t[12])/144 - (8711*t[13])/432 + 
       (9013*t[14])/144 + (3311*t[15])/288 + (10*t[18])/3 - (4*t[20])/3 + 
       (10*t[21])/3 - (2*t[22])/3 - (10*t[23])/3 + (259*t[24])/9 - 
       (56*t[25])/9 - t[26]/9 + (104*t[27])/9 - (14*t[29])/3 - 6*t[30] + 
       (14*t[31])/3 - (4*t[32])/3 - (59*t[33])/9 + (34*t[34])/3 - 2*t[36] + 
       (22*t[38])/3 + (59*t[39])/9 - (16*t[40])/3 + (10*t[41])/3 - 
       (5*t[42])/3 - (7*t[43])/6 + (2*t[44])/3 - (11*t[45])/12 + 
       (50*t[46])/3 + (53*t[47])/2 - (383*t[48])/36 - (289*t[49])/36 + 
       (409*t[50])/36 - (133*t[51])/72 - (529*t[52])/36 + (289*t[53])/36 - 
       (47*t[54])/36 - t[58]/3 - 11*t[59] - (563*t[60])/18 - (991*t[61])/36 - 
       (9725*t[62])/72 - (5683*t[63])/72 + (5297*t[64])/72 + (73*t[65])/108 - 
       (6451*t[66])/108 - (20*t[70])/3 + (20*t[71])/3 - (28*t[72])/3 - 
       4*t[73] + 66*t[74] + 4*t[75] + (32*t[76])/3 + (58*t[77])/3 + 
       (34*t[78])/3 + (67*t[80])/3 - (85*t[81])/3 + (271*t[82])/9 + 
       (8*t[83])/3 - (10*t[84])/3 + (271*t[85])/18 - (197*t[86])/6 - 
       (415*t[87])/18 - (415*t[88])/36 + (1409*t[89])/36 - (8*t[97])/3 + 
       40*t[98] + 48*t[99] + 264*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((-37*t[1])/24 - 
       (283*t[2])/12 + (2779*t[3])/96 - (11351*t[4])/144 + (2483*t[5])/192 - 
       (289*t[6])/288 - (545*t[7])/16 - (1181*t[8])/24 - (24547*t[9])/576 + 
       (12313*t[10])/288 - (12167*t[11])/144 + (4189*t[12])/576 - 
       (12605*t[13])/216 - (9847*t[14])/96 - (5821*t[15])/1152 - 
       (3*t[18])/2 - 4*t[20] - (7*t[21])/2 + (21*t[22])/2 + (7*t[23])/2 - 
       (173*t[24])/18 + (41*t[25])/9 + (5*t[26])/18 + (125*t[27])/18 + 
       (3*t[29])/2 - 5*t[30] + 4*t[32] - (131*t[33])/18 - (61*t[34])/2 + 
       (7*t[36])/2 + 2*t[37] + (5*t[38])/3 + (113*t[39])/18 - t[40]/4 - 
       (53*t[41])/24 + (59*t[42])/24 + (169*t[43])/96 + (301*t[44])/12 + 
       (763*t[45])/24 + (169*t[46])/24 - (88*t[47])/3 - (1637*t[48])/288 - 
       (10009*t[49])/288 + (1027*t[50])/288 + (7319*t[51])/576 + 
       (2141*t[52])/288 + (12313*t[53])/288 + (1255*t[54])/288 + t[58]/4 + 
       (55*t[59])/24 - (4997*t[60])/36 - (21233*t[61])/144 + 
       (25277*t[62])/288 - (12317*t[63])/288 + (21667*t[64])/288 - 
       (2851*t[65])/432 + (81841*t[66])/432 + 2*t[69] + t[70] - t[71] + 
       (11*t[72])/2 + t[73] - (7*t[74])/3 - t[75] - 40*t[76] - (5*t[77])/2 + 
       (103*t[78])/12 - (1079*t[80])/12 - (289*t[81])/12 + (431*t[82])/36 - 
       (11*t[83])/2 - (49*t[84])/3 - (1145*t[85])/36 - (239*t[86])/8 + 
       (4793*t[87])/36 + (4721*t[88])/72 + (811*t[89])/36 - (13*t[97])/4 - 
       234*t[98] + 155*t[99] + 295*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((64*t[1])/3 - (105*t[2])/2 + (179*t[3])/12 - (2515*t[4])/24 + 
       (2959*t[5])/48 - (1133*t[6])/24 - (287*t[7])/8 - (179*t[8])/8 - 
       (1921*t[9])/16 - (1771*t[10])/48 - (1123*t[11])/24 - (39*t[12])/4 - 
       (10805*t[13])/432 - (26225*t[14])/288 + (1189*t[15])/32 + 
       (4*t[18])/3 + 4*t[19] - (8*t[20])/3 - (8*t[21])/3 + (14*t[22])/3 + 
       (8*t[23])/3 - (2*t[24])/3 + (14*t[25])/3 + (4*t[26])/3 + 4*t[27] - 
       4*t[28] + (7*t[29])/6 - 4*t[30] - 24*t[31] + (40*t[32])/3 - 
       (28*t[33])/3 + (25*t[34])/3 + 18*t[35] - 12*t[36] + 4*t[37] - 
       (11*t[38])/3 - (17*t[39])/3 - (5*t[40])/2 - (11*t[41])/3 + 
       (13*t[42])/3 + (43*t[43])/3 + (53*t[44])/12 - (19*t[45])/12 + 
       (15*t[46])/2 - (13*t[47])/2 + (29*t[48])/3 - (811*t[49])/48 - 
       (43*t[50])/6 + (41*t[51])/32 + (17*t[52])/2 + (907*t[53])/48 - 
       (325*t[54])/24 + 6*t[57] - (5*t[58])/3 - t[59] - (1729*t[60])/12 - 
       (3163*t[61])/12 + (1933*t[62])/12 + (533*t[63])/12 + (8125*t[64])/24 + 
       (317*t[65])/2 + (1043*t[66])/4 - 8*t[69] - (56*t[70])/3 + 
       (56*t[71])/3 + (44*t[72])/3 - 28*t[73] - 18*t[74] - 20*t[75] + 
       (26*t[76])/3 - (44*t[77])/3 - (80*t[78])/3 + 16*t[79] + 
       (205*t[80])/3 - (25*t[81])/3 + 53*t[82] - (46*t[83])/3 - 
       (97*t[84])/3 + t[85]/2 + (127*t[86])/6 + (159*t[87])/2 + 
       (151*t[88])/4 + (187*t[89])/24 + 8*t[95] + (10*t[97])/3 + 40*t[98] - 
       164*t[99] + 312*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((29*t[1])/12 - (35*t[2])/12 + (1045*t[3])/12 - 
       (1469*t[4])/24 + (2665*t[5])/24 + (407*t[6])/48 - (141*t[7])/4 - 
       (353*t[8])/12 - (5125*t[9])/24 + (2437*t[10])/48 - (7675*t[11])/48 - 
       (2209*t[12])/16 - (6785*t[13])/108 - (38273*t[14])/288 + 
       (2023*t[15])/72 + 4*t[19] + 6*t[22] + 6*t[23] + (287*t[24])/6 + 
       (8*t[25])/3 - (9*t[26])/2 - (14*t[27])/3 + 5*t[29] + 14*t[30] + 
       4*t[32] + (33*t[33])/2 - 9*t[34] + 4*t[36] - 4*t[37] + (41*t[38])/6 - 
       (37*t[39])/2 + 8*t[40] - (125*t[41])/12 + (149*t[42])/12 - 
       (89*t[43])/12 + (50*t[44])/3 + (101*t[45])/6 + (259*t[46])/12 - 
       (119*t[47])/3 + (883*t[48])/48 + (23*t[49])/48 - (173*t[50])/48 + 
       (41*t[51])/32 - (163*t[52])/48 - (23*t[53])/48 - (217*t[54])/48 + 
       8*t[57] - (79*t[59])/6 - (727*t[60])/6 - (2363*t[61])/6 + 
       (175*t[62])/2 - (235*t[63])/2 - 51*t[64] - (95*t[65])/4 + 
       (3713*t[66])/12 + 8*t[69] - 4*t[70] + 4*t[71] - 6*t[72] + 16*t[73] + 
       (103*t[74])/3 - 40*t[75] + 6*t[76] - 6*t[77] - (100*t[78])/3 - 
       (256*t[80])/3 - (181*t[81])/6 - (19*t[82])/6 - 40*t[83] - 
       (305*t[84])/12 + (23*t[85])/6 - 38*t[86] + (575*t[87])/6 + 
       (575*t[88])/12 + (383*t[89])/6 - 3*t[97] + 64*t[98] - 74*t[99] + 
       312*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-61*t[1])/12 + (71*t[2])/6 + (4085*t[3])/96 + (7967*t[4])/144 + 
       (4945*t[5])/192 + (329*t[6])/144 - (3889*t[7])/32 + (4445*t[8])/96 - 
       (107231*t[9])/576 + (9013*t[10])/144 - (2203*t[11])/36 - 
       (24385*t[12])/576 - (100337*t[13])/1728 - (9841*t[14])/96 - 
       (7381*t[15])/1152 - (7*t[18])/2 - 2*t[19] - (11*t[21])/2 + 3*t[22] + 
       (11*t[23])/2 + (28*t[24])/9 - (235*t[25])/18 + (337*t[26])/18 + 
       (14*t[27])/9 + 3*t[29] + (7*t[30])/2 - (7*t[31])/2 - (7*t[32])/2 + 
       (79*t[33])/9 - (51*t[34])/4 + (3*t[36])/2 + 2*t[37] - (7*t[38])/6 - 
       (88*t[39])/9 + 3*t[40] - (17*t[41])/12 - t[42]/3 - (413*t[43])/48 - 
       (109*t[44])/12 + (847*t[45])/48 + (35*t[46])/24 - (787*t[47])/24 + 
       (10205*t[48])/288 + (1657*t[49])/288 + (53*t[50])/288 - 
       (5015*t[51])/576 + (1603*t[52])/288 - (3385*t[53])/288 - 
       (6799*t[54])/288 + (9*t[58])/4 - (25*t[59])/24 - (5767*t[60])/36 - 
       (27673*t[61])/144 + (27157*t[62])/288 - (17077*t[63])/288 + 
       (24107*t[64])/288 - (10451*t[65])/432 + (96161*t[66])/432 + 2*t[69] + 
       t[70] - t[71] + (11*t[72])/2 + t[73] + (43*t[74])/3 - t[75] - 
       40*t[76] - (5*t[77])/2 + (143*t[78])/12 - (1159*t[80])/12 - 
       (389*t[81])/12 + (451*t[82])/36 - (11*t[83])/2 - (59*t[84])/3 - 
       (1195*t[85])/36 - (399*t[86])/8 + (4963*t[87])/36 + (4891*t[88])/72 + 
       (463*t[89])/18 - (13*t[97])/4 - 234*t[98] + 175*t[99] + 335*t[100])*
      \[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - u]*(9*t[1] + 171*t[2] + 
       108*t[3] - (251*t[4])/2 + (315*t[5])/2 - (541*t[6])/4 - 45*t[7] + 
       45*t[8] - (289*t[9])/2 + (127*t[10])/4 - (703*t[11])/4 - 
       (721*t[12])/4 - 174*t[13] + (27*t[14])/8 + (117*t[15])/2 + 70*t[24] - 
       20*t[25] + 2*t[26] + 20*t[27] - 2*t[33] + 18*t[38] + 2*t[39] - 
       9*t[41] + 9*t[42] - 9*t[43] - 18*t[44] + 18*t[45] + 45*t[46] - 
       36*t[47] + (91*t[48])/4 - (91*t[49])/4 + (19*t[50])/4 - 
       (127*t[51])/8 - (19*t[52])/4 + (91*t[53])/4 + (91*t[54])/4 - 
       36*t[59] - 271*t[60] - 523*t[61] + (181*t[62])/2 - (397*t[63])/2 + 
       (143*t[64])/2 - (410*t[65])/3 + (1394*t[66])/3 + 180*t[74] + 
       36*t[78] - 72*t[80] - 90*t[81] + 94*t[82] - 36*t[84] - 55*t[85] - 
       216*t[86] + 91*t[87] + (91*t[88])/2 + (109*t[89])/2 + 216*t[99] + 
       432*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((139*t[1])/12 + t[2] + (5309*t[3])/96 - 
       (2227*t[4])/144 + (37*t[5])/192 + (203*t[6])/36 - (1125*t[7])/32 + 
       (5123*t[8])/32 - (25091*t[9])/576 - (4645*t[10])/72 + 
       (2993*t[11])/144 + (22031*t[12])/576 - (1693*t[13])/192 - 
       (8647*t[14])/144 - (62689*t[15])/1152 + (79*t[18])/6 + (91*t[21])/6 - 
       3*t[22] - (139*t[23])/6 + (304*t[24])/9 - (433*t[25])/18 + 
       (223*t[26])/18 + (41*t[27])/9 + 12*t[28] - t[29]/2 - (7*t[30])/2 + 
       (43*t[31])/6 - (11*t[32])/2 + (175*t[33])/9 + (191*t[34])/12 - 
       8*t[35] - (17*t[36])/2 + 2*t[37] + (27*t[38])/2 - (67*t[39])/9 - 
       (34*t[40])/3 + (25*t[41])/4 - (5*t[42])/3 - (471*t[43])/16 - 
       14*t[44] - (653*t[45])/48 + (121*t[46])/8 + (1241*t[47])/24 + 
       (7811*t[48])/288 - (2093*t[49])/288 - (6781*t[50])/288 + 
       (1939*t[51])/576 + (11317*t[52])/288 + (2381*t[53])/288 + 
       (5471*t[54])/288 - 2*t[57] + (25*t[58])/4 - (325*t[59])/24 - 
       (2167*t[60])/36 - (16693*t[61])/144 - (40751*t[62])/288 - 
       (76177*t[63])/288 + (68111*t[64])/288 + (109153*t[65])/432 - 
       (43*t[66])/432 + 6*t[69] - (49*t[70])/3 + (49*t[71])/3 + 
       (29*t[72])/6 - 3*t[73] + (25*t[74])/3 + 3*t[75] + (22*t[76])/3 + 
       (55*t[77])/6 - (29*t[78])/12 + (205*t[80])/12 - (253*t[81])/12 + 
       (1399*t[82])/36 + (35*t[83])/6 - (85*t[84])/3 - (181*t[85])/36 + 
       (1487*t[86])/24 + (2869*t[87])/36 + (2869*t[88])/72 + (1037*t[89])/9 + 
       (5*t[97])/12 - 34*t[98] + 7*t[99] + 491*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*(6*t[1] - 21*t[2] + 27*t[3] - 
       (263*t[4])/6 + (269*t[5])/4 - (125*t[6])/6 - (113*t[7])/2 - 
       (129*t[8])/2 - (1313*t[9])/12 + (124*t[10])/3 - (563*t[11])/6 - 
       (469*t[12])/12 - (449*t[13])/18 - (2687*t[14])/24 - (163*t[15])/8 - 
       (26*t[24])/3 - (38*t[25])/3 + (14*t[26])/3 + (8*t[27])/3 + 4*t[30] - 
       (2*t[33])/3 + 34*t[37] + 8*t[38] - (46*t[39])/3 + 2*t[40] + t[41] - 
       t[42] + 7*t[43] - 6*t[45] - 7*t[46] + 12*t[47] - (77*t[48])/3 + 
       (11*t[49])/3 + (25*t[50])/3 - (91*t[51])/24 - (25*t[52])/3 - 
       (23*t[53])/3 - (217*t[54])/6 + 3*t[59] - (103*t[60])/3 - 
       (1949*t[61])/6 + (307*t[62])/6 - (91*t[63])/6 + (511*t[64])/12 + 
       (757*t[65])/9 + (2443*t[66])/18 + 8*t[70] - 8*t[71] - 20*t[74] + 
       8*t[76] + 4*t[77] - 17*t[78] - 38*t[80] + 3*t[81] - (5*t[82])/3 - 
       29*t[84] + (203*t[85])/3 + 48*t[86] + (124*t[87])/3 + (32*t[88])/3 + 
       (203*t[89])/3 - 8*t[96] + 72*t[98] - 240*t[99] + 612*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      (3*t[1] + (117*t[2])/2 + 264*t[3] + 17*t[4] + 239*t[5] - (391*t[6])/4 - 
       (1013*t[7])/2 - (655*t[8])/2 - 669*t[9] + (285*t[10])/2 - 
       (1345*t[11])/4 - (577*t[12])/2 - (1095*t[13])/4 - (6151*t[14])/12 - 
       (57*t[15])/2 - 22*t[18] + 8*t[19] - 46*t[21] - 24*t[22] + 34*t[23] - 
       26*t[24] - 32*t[25] + 32*t[26] + 24*t[27] - 60*t[31] - 24*t[32] + 
       16*t[33] - 84*t[34] - 44*t[35] - 2*t[37] - 16*t[39] + 42*t[40] - 
       7*t[41] + 3*t[42] + 27*t[43] + 6*t[44] + 95*t[45] + 8*t[46] - 
       199*t[47] + (329*t[48])/4 - 12*t[49] - (91*t[50])/4 + t[51] + 
       (43*t[52])/4 + 12*t[53] - (5*t[54])/4 - 12*t[58] + 29*t[59] - 
       635*t[60] - 643*t[61] + (1083*t[62])/2 + (349*t[63])/2 + 101*t[64] - 
       (1495*t[65])/6 + (2043*t[66])/2 - 10*t[69] + 80*t[70] - 80*t[71] + 
       76*t[74] + 6*t[75] - 90*t[76] + 24*t[77] + 22*t[78] + 96*t[79] - 
       180*t[80] - 67*t[81] + 53*t[82] - 39*t[83] - (117*t[84])/2 - 
       106*t[85] - 348*t[86] + 359*t[87] + (359*t[88])/2 - 63*t[89] - 
       6*t[97] - 432*t[98] + 288*t[99] + 624*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*(-18*t[1] - 50*t[2] + 17*t[3] + 
       (43*t[4])/3 + (69*t[5])/2 + (247*t[6])/12 - (143*t[7])/2 + 
       (17*t[8])/2 - (307*t[9])/3 + (1193*t[10])/12 - (1271*t[11])/12 - 
       (377*t[12])/12 - (145*t[13])/3 - (1319*t[14])/12 - (73*t[15])/4 - 
       (10*t[24])/3 - (40*t[25])/3 + (94*t[26])/3 - (26*t[27])/3 + 8*t[30] + 
       (14*t[33])/3 - 4*t[35] + 2*t[36] + 8*t[37] - 18*t[38] - (38*t[39])/3 - 
       10*t[40] + 3*t[41] - 3*t[42] + 5*t[43] + 4*t[44] - 10*t[45] - 
       7*t[46] + 20*t[47] - (7*t[48])/12 + (379*t[49])/12 + (209*t[50])/12 - 
       (115*t[51])/12 - (113*t[52])/12 - (247*t[53])/12 - (553*t[54])/12 + 
       18*t[59] - (362*t[60])/3 - (1759*t[61])/6 + (571*t[62])/12 + 
       (713*t[63])/12 - (79*t[64])/12 + (785*t[65])/9 + (1498*t[66])/9 - 
       30*t[74] - 2*t[76] + 8*t[77] - 28*t[78] - 52*t[80] + 9*t[81] - 
       (13*t[82])/3 + 6*t[83] - 42*t[84] + (359*t[85])/6 + 72*t[86] + 
       (433*t[87])/6 + (241*t[88])/12 + (329*t[89])/6 + 4*t[95] + 4*t[96] - 
       4*t[97] - 192*t[99] + 648*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*(-5*t[1] - (41*t[2])/2 + 
       (93*t[3])/4 - (361*t[4])/6 - (103*t[5])/2 - (1193*t[6])/12 + 59*t[7] - 
       331*t[8] + (266*t[9])/3 + (1019*t[10])/12 - (959*t[11])/12 + 
       (721*t[12])/12 - (175*t[13])/9 - (3119*t[14])/24 - (3335*t[15])/72 - 
       2*t[18] - 8*t[19] - 10*t[21] + 10*t[22] + 8*t[23] - (40*t[24])/3 + 
       (44*t[25])/3 - (26*t[26])/3 + (10*t[27])/3 + 7*t[29] - 25*t[32] + 
       (56*t[33])/3 - 4*t[34] + 4*t[37] - 6*t[38] - (86*t[39])/3 + 6*t[40] + 
       5*t[43] + (107*t[44])/2 - 12*t[45] - 9*t[46] + 34*t[47] - 
       (961*t[48])/12 - (365*t[49])/12 + (323*t[50])/12 + (235*t[51])/24 - 
       (299*t[52])/12 + (365*t[53])/12 - (475*t[54])/12 + 18*t[59] - 
       (362*t[60])/3 - (1759*t[61])/6 + (571*t[62])/12 + (713*t[63])/12 - 
       (79*t[64])/12 + (785*t[65])/9 + (1498*t[66])/9 - 30*t[74] - 2*t[76] + 
       8*t[77] - 28*t[78] - 52*t[80] + 9*t[81] - (13*t[82])/3 + 6*t[83] - 
       42*t[84] + (359*t[85])/6 + 72*t[86] + (433*t[87])/6 + (241*t[88])/12 + 
       (329*t[89])/6 + 4*t[95] + 4*t[96] - 4*t[97] - 192*t[99] + 648*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      (15*t[2] + (47*t[3])/4 - (133*t[4])/2 - (23*t[5])/2 - 58*t[6] + 
       (97*t[7])/2 - (339*t[8])/2 + (129*t[9])/2 + (225*t[10])/4 - 
       (205*t[11])/2 + (29*t[12])/4 - (554*t[13])/9 - (1993*t[14])/24 - 
       (275*t[15])/8 - 4*t[19] - 10*t[21] + 6*t[22] + 18*t[23] + 10*t[27] - 
       3*t[29] - 6*t[30] + 10*t[32] - 8*t[33] + 8*t[34] + 16*t[37] - 
       10*t[39] + 4*t[40] - 4*t[41] + 3*t[42] + 2*t[43] + (47*t[44])/2 - 
       15*t[45] + 39*t[47] - 53*t[48] - (57*t[49])/4 + 15*t[50] + 
       (57*t[51])/8 - 27*t[52] + (57*t[53])/4 - 34*t[54] - t[59] - 60*t[60] - 
       (757*t[61])/2 + 59*t[62] - 35*t[63] + (211*t[64])/4 + 63*t[65] + 
       (351*t[66])/2 + 8*t[70] - 8*t[71] + 8*t[76] + 4*t[77] - 13*t[78] - 
       46*t[80] - 7*t[81] - t[82] - 33*t[84] + 66*t[85] + 24*t[86] + 
       47*t[87] + (27*t[88])/2 + (143*t[89])/2 - 8*t[96] + 72*t[98] - 
       216*t[99] + 660*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-24*t[1] + 136*t[2] + 48*t[3] - 
       (539*t[4])/2 + (117*t[5])/2 + (75*t[6])/2 - (513*t[7])/2 + 
       (85*t[8])/2 - (541*t[9])/2 + (1867*t[10])/4 - 469*t[11] - 
       (13*t[12])/4 - 367*t[13] - (4307*t[14])/24 + 78*t[15] - 24*t[18] - 
       24*t[21] + 48*t[22] + 24*t[23] + 10*t[24] - 16*t[25] + 12*t[26] + 
       24*t[27] - 26*t[31] + 12*t[32] + 6*t[33] - 36*t[34] - 32*t[35] - 
       8*t[37] - 2*t[38] - 6*t[39] - 24*t[40] + 21*t[41] - 33*t[42] + 
       22*t[43] + 8*t[44] + 36*t[45] + 45*t[46] - 70*t[47] + (61*t[48])/2 - 
       (429*t[49])/4 + (49*t[50])/2 - (49*t[51])/8 + (59*t[52])/2 + 
       (429*t[53])/4 + 99*t[54] - 6*t[58] + 17*t[59] - 712*t[60] - 
       804*t[61] + 565*t[62] + 115*t[63] + (263*t[64])/2 - (625*t[65])/2 + 
       (6845*t[66])/6 - 10*t[69] + 80*t[70] - 80*t[71] + 136*t[74] + 
       6*t[75] - 90*t[76] + 24*t[77] + 34*t[78] + 96*t[79] - 204*t[80] - 
       97*t[81] + 55*t[82] - 39*t[83] - (141*t[84])/2 - 111*t[85] - 
       420*t[86] + 376*t[87] + 188*t[88] - (103*t[89])/2 - 6*t[97] - 
       432*t[98] + 360*t[99] + 768*t[100])*\[Zeta][2] + 
     HPL[{0, 1, 0, 1, 1}, 1 - v]*((35*t[1])/2 - 46*t[2] + (169*t[3])/4 - 
       (2579*t[4])/12 + (189*t[5])/8 - (3337*t[6])/24 - 125*t[7] - 
       (715*t[8])/2 + (235*t[9])/24 + (3751*t[10])/24 - (6661*t[11])/24 + 
       (2521*t[12])/12 - (163*t[13])/36 - (12839*t[14])/48 + (451*t[15])/48 + 
       20*t[22] + (11*t[24])/3 + (224*t[25])/3 - (185*t[26])/3 + 
       (16*t[27])/3 - 8*t[32] + (95*t[33])/3 - 28*t[34] + 2*t[38] - 
       (95*t[39])/3 + 9*t[40] + (23*t[41])/2 - (23*t[42])/2 + (35*t[43])/4 + 
       55*t[44] + 3*t[45] + (29*t[46])/2 + 7*t[47] - (1913*t[48])/24 - 
       (2443*t[49])/24 + (31*t[50])/24 + (773*t[51])/48 + (209*t[52])/24 + 
       (2443*t[53])/24 + (655*t[54])/24 + 2*t[58] + (45*t[59])/2 - 
       (575*t[60])/3 - (3091*t[61])/6 + (2203*t[62])/12 - (3451*t[63])/12 + 
       (3497*t[64])/12 + (2990*t[65])/9 + (3895*t[66])/9 - 142*t[74] - 
       23*t[76] + 26*t[77] - 60*t[78] + 44*t[80] - 12*t[81] - (304*t[82])/3 - 
       (123*t[84])/2 + (82*t[85])/3 + 171*t[86] + (710*t[87])/3 + 
       (355*t[88])/3 + (1061*t[89])/6 - 7*t[97] - 192*t[98] - 180*t[99] + 
       1032*t[100])*\[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - w]*
      (14*t[1] - 200*t[2] + (329*t[3])/4 + (1747*t[4])/12 + (299*t[5])/8 + 
       (6311*t[6])/24 - (417*t[7])/4 + (939*t[8])/4 - (8321*t[9])/24 - 
       (1541*t[10])/24 - (2383*t[11])/24 - (731*t[12])/12 + (877*t[13])/72 - 
       (6363*t[14])/16 - (6577*t[15])/48 + 4*t[22] + 2*t[23] + (77*t[24])/3 - 
       (46*t[25])/3 + (34*t[26])/3 - (194*t[27])/3 + 36*t[32] + 
       (173*t[33])/3 - 39*t[34] + 4*t[38] - (173*t[39])/3 - 30*t[40] + 
       14*t[41] - 14*t[42] - t[43] + 7*t[44] - (39*t[45])/2 - (47*t[46])/2 + 
       149*t[47] + (1549*t[48])/24 + (119*t[49])/24 - (203*t[50])/24 + 
       (1427*t[51])/48 - (61*t[52])/24 - (119*t[53])/24 - (2627*t[54])/24 + 
       7*t[58] + (45*t[59])/2 - (575*t[60])/3 - (3091*t[61])/6 + 
       (2203*t[62])/12 - (3451*t[63])/12 + (3497*t[64])/12 + (2990*t[65])/9 + 
       (3895*t[66])/9 - 142*t[74] - 23*t[76] + 26*t[77] - 60*t[78] + 
       44*t[80] - 12*t[81] - (304*t[82])/3 - (123*t[84])/2 + (82*t[85])/3 + 
       171*t[86] + (710*t[87])/3 + (355*t[88])/3 + (1061*t[89])/6 - 7*t[97] - 
       192*t[98] - 180*t[99] + 1032*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 1, 0, 1}, 1 - w]*((15*t[1])/2 + (207*t[2])/2 + (371*t[3])/2 - 
       43*t[4] + (1433*t[5])/4 - (229*t[6])/4 - (449*t[7])/2 + (363*t[8])/2 - 
       (2521*t[9])/4 + 34*t[10] - (1569*t[11])/4 - (1187*t[12])/4 - 
       (6521*t[13])/36 - 342*t[14] + (1043*t[15])/24 + 66*t[24] - 36*t[25] + 
       28*t[26] + 4*t[27] - 14*t[32] + 56*t[33] + 3*t[34] + 5*t[38] - 
       56*t[39] - 6*t[40] + (15*t[41])/2 - (15*t[42])/2 + 19*t[43] - 
       18*t[44] - 32*t[45] + 15*t[46] + 22*t[47] + (311*t[48])/4 + 
       (31*t[49])/2 - (57*t[50])/4 - (49*t[51])/2 + (69*t[52])/4 - 
       (79*t[53])/2 - (139*t[54])/4 - (5*t[59])/2 - 379*t[60] - 1108*t[61] + 
       (1185*t[62])/4 - (681*t[63])/4 + 178*t[64] + (523*t[65])/6 + 
       (3023*t[66])/3 + 8*t[70] - 8*t[71] + 60*t[74] - 22*t[76] + 8*t[77] - 
       6*t[78] - 184*t[80] - 84*t[81] + 88*t[82] - (211*t[84])/2 + 
       (103*t[85])/2 + 32*t[86] + (333*t[87])/2 + (333*t[88])/4 + 
       (359*t[89])/2 - 7*t[97] - 96*t[98] - 72*t[99] + 1368*t[100])*
      \[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - v]*(34*t[1] + (205*t[2])/2 + 
       (193*t[3])/2 - 258*t[4] + 16*t[5] - (401*t[6])/2 + 86*t[7] - 
       523*t[8] + 174*t[9] + 81*t[10] - (695*t[11])/2 - (73*t[12])/2 - 
       (4945*t[13])/18 - (965*t[14])/4 - (87*t[15])/2 - 4*t[18] - 8*t[21] + 
       32*t[22] + 6*t[23] + 8*t[24] - 22*t[25] - 2*t[26] + 54*t[27] - 
       14*t[32] + 6*t[33] + 4*t[34] + 27*t[38] - 6*t[39] - 3*t[40] + 
       6*t[41] - 6*t[42] + t[43] + 46*t[44] - 30*t[45] + 69*t[46] + 
       108*t[47] - 110*t[48] - 113*t[49] + 36*t[50] + (23*t[51])/4 - 
       42*t[52] + 105*t[53] + 29*t[54] - 6*t[58] - (5*t[59])/2 - 379*t[60] - 
       1108*t[61] + (1185*t[62])/4 - (681*t[63])/4 + 178*t[64] + 
       (523*t[65])/6 + (3023*t[66])/3 + 8*t[70] - 8*t[71] + 60*t[74] - 
       22*t[76] + 8*t[77] - 6*t[78] - 184*t[80] - 84*t[81] + 88*t[82] - 
       (211*t[84])/2 + (103*t[85])/2 + 32*t[86] + (333*t[87])/2 + 
       (333*t[88])/4 + (359*t[89])/2 - 7*t[97] - 96*t[98] - 72*t[99] + 
       1368*t[100])*\[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - w]*
      (16*t[1] + 188*t[2] + 363*t[3] - (331*t[4])/6 + 705*t[5] - 
       (1331*t[6])/12 - 450*t[7] + 398*t[8] - (3880*t[9])/3 + 
       (419*t[10])/12 - (9197*t[11])/12 - (7151*t[12])/12 - (6725*t[13])/18 - 
       (16897*t[14])/24 + (307*t[15])/4 + (362*t[24])/3 - (220*t[25])/3 + 
       (178*t[26])/3 + (28*t[27])/3 - 28*t[32] + (326*t[33])/3 + 6*t[34] + 
       8*t[38] - (326*t[39])/3 - 16*t[40] + 16*t[41] - 16*t[42] + 39*t[43] - 
       34*t[44] - 66*t[45] + 25*t[46] + 48*t[47] + (2045*t[48])/12 + 
       (421*t[49])/12 - (187*t[50])/12 - (1235*t[51])/24 + (403*t[52])/12 - 
       (1285*t[53])/12 - (775*t[54])/12 - t[59] - (2249*t[60])/3 - 
       (6605*t[61])/3 + (1927*t[62])/3 - (775*t[63])/3 + (2023*t[64])/6 + 
       (1529*t[65])/9 + (18328*t[66])/9 + 16*t[70] - 16*t[71] + 100*t[74] - 
       60*t[76] + 12*t[77] - 392*t[80] - 158*t[81] + (554*t[82])/3 - 
       213*t[84] + (316*t[85])/3 + 88*t[86] + (908*t[87])/3 + (454*t[88])/3 + 
       (2087*t[89])/6 - 18*t[97] - 288*t[98] - 72*t[99] + 2736*t[100])*
      \[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - v]*(65*t[1] + 188*t[2] + 
       201*t[3] - (2875*t[4])/6 + (27*t[5])/2 - (4685*t[6])/12 + 211*t[7] - 
       1167*t[8] + (2329*t[9])/6 + (1475*t[10])/12 - (8423*t[11])/12 - 
       (917*t[12])/12 - (4975*t[13])/9 - (12229*t[14])/24 - (301*t[15])/3 - 
       8*t[18] - 16*t[21] + 64*t[22] + 12*t[23] - (22*t[24])/3 - 
       (172*t[25])/3 + (34*t[26])/3 + (364*t[27])/3 - 44*t[32] + 
       (38*t[33])/3 + 12*t[34] + 52*t[38] - (38*t[39])/3 + 10*t[40] + 
       13*t[41] - 13*t[42] + 3*t[43] + 94*t[44] - 54*t[45] + 133*t[46] + 
       212*t[47] - (2785*t[48])/12 - (2687*t[49])/12 + (887*t[50])/12 + 
       (337*t[51])/24 - (1367*t[52])/12 + (2399*t[53])/12 + (791*t[54])/12 - 
       12*t[58] - t[59] - (2249*t[60])/3 - (6605*t[61])/3 + (1927*t[62])/3 - 
       (775*t[63])/3 + (2023*t[64])/6 + (1529*t[65])/9 + (18328*t[66])/9 + 
       16*t[70] - 16*t[71] + 100*t[74] - 60*t[76] + 12*t[77] - 392*t[80] - 
       158*t[81] + (554*t[82])/3 - 213*t[84] + (316*t[85])/3 + 88*t[86] + 
       (908*t[87])/3 + (454*t[88])/3 + (2087*t[89])/6 - 18*t[97] - 
       288*t[98] - 72*t[99] + 2736*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 1, 1, 1}, 1 - v]*(27*t[1] - 60*t[2] + (471*t[3])/4 - 
       (1445*t[4])/2 + (555*t[5])/8 - (1867*t[6])/4 - 327*t[7] - 
       (2079*t[8])/2 + (539*t[9])/8 + (1615*t[10])/4 - 886*t[11] + 
       (5435*t[12])/8 - (1033*t[13])/12 - 749*t[14] + (821*t[15])/16 + 
       60*t[22] + 22*t[24] + 220*t[25] - 160*t[26] + 20*t[27] + 70*t[33] - 
       60*t[34] - 14*t[38] - 70*t[39] - 6*t[40] + 33*t[41] - 33*t[42] + 
       (99*t[43])/4 + 162*t[44] - 9*t[45] + 69*t[46] + 36*t[47] - 
       (977*t[48])/4 - (1225*t[49])/4 + (55*t[50])/4 + (167*t[51])/8 + 
       (137*t[52])/4 + (1225*t[53])/4 + (379*t[54])/4 + 6*t[58] + 51*t[59] - 
       610*t[60] - (3431*t[61])/2 + (2273*t[62])/4 - (2897*t[63])/4 + 
       (3547*t[64])/4 + (5489*t[65])/6 + (8413*t[66])/6 - 396*t[74] - 
       54*t[76] + 48*t[77] - 180*t[78] + 114*t[80] - 36*t[81] - 236*t[82] - 
       195*t[84] + 116*t[85] + 477*t[86] + 652*t[87] + 326*t[88] + 
       494*t[89] - 18*t[97] - 432*t[98] - 648*t[99] + 3096*t[100])*
      \[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - w]*(66*t[1] - 612*t[2] + 
       (1197*t[3])/4 + (799*t[4])/2 + (1857*t[5])/8 + (1445*t[6])/2 - 
       (1275*t[7])/4 + (2133*t[8])/4 - (8629*t[9])/8 - 200*t[10] - 
       (713*t[11])/2 - (2135*t[12])/8 + (1603*t[13])/24 - (2453*t[14])/2 - 
       (6223*t[15])/16 + 12*t[22] + 4*t[23] + 82*t[24] - 56*t[25] + 
       14*t[26] - 184*t[27] + 72*t[32] + 202*t[33] - 108*t[34] + 42*t[38] - 
       202*t[39] - 48*t[40] + 32*t[41] - 32*t[42] - (9*t[43])/2 + 18*t[44] - 
       (255*t[45])/2 - 87*t[46] + 531*t[47] + (685*t[48])/4 + (161*t[49])/4 - 
       (155*t[50])/4 + (733*t[51])/8 - (61*t[52])/4 - (161*t[53])/4 - 
       (1343*t[54])/4 + 12*t[58] + 51*t[59] - 610*t[60] - (3431*t[61])/2 + 
       (2273*t[62])/4 - (2897*t[63])/4 + (3547*t[64])/4 + (5489*t[65])/6 + 
       (8413*t[66])/6 - 396*t[74] - 54*t[76] + 48*t[77] - 180*t[78] + 
       114*t[80] - 36*t[81] - 236*t[82] - 195*t[84] + 116*t[85] + 477*t[86] + 
       652*t[87] + 326*t[88] + 494*t[89] - 18*t[97] - 432*t[98] - 648*t[99] + 
       3096*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((-155*t[1])/8 + (101*t[2])/8 - (161*t[3])/4 - 
       (2419*t[4])/48 - (631*t[5])/8 - (5561*t[6])/96 + (159*t[7])/8 - 
       161*t[8] + (5605*t[9])/48 - (637*t[10])/24 - (185*t[11])/24 + 
       (4595*t[12])/48 - (14365*t[13])/576 + (2273*t[14])/48 + 
       (433*t[15])/32 - 4*t[18] - 4*t[21] - 6*t[22] + 4*t[23] - 
       (32*t[24])/3 + (22*t[25])/3 + (20*t[26])/3 + (38*t[27])/3 - 4*t[28] - 
       2*t[29] + 6*t[30] + (39*t[31])/2 + 8*t[32] - (32*t[33])/3 - 2*t[34] + 
       18*t[35] - 12*t[36] - 16*t[37] - 15*t[38] + (74*t[39])/3 - 5*t[40] + 
       (27*t[41])/8 - (43*t[42])/8 + (195*t[43])/16 + 8*t[44] - (3*t[45])/8 + 
       (23*t[46])/4 - (109*t[47])/4 - (815*t[48])/48 - (1091*t[49])/24 + 
       (145*t[50])/48 + (109*t[51])/12 - (625*t[52])/48 + (1139*t[53])/24 + 
       (595*t[54])/48 + (11*t[59])/4 + (521*t[60])/12 + (1817*t[61])/12 + 
       (3937*t[62])/24 + (737*t[63])/24 - (2183*t[64])/12 - (3283*t[65])/72 + 
       (2023*t[66])/72 - 8*t[69] + 8*t[70] - 8*t[71] + 6*t[72] - 12*t[73] - 
       3*t[74] + 54*t[75] - 10*t[76] + 8*t[77] + 27*t[78] - 44*t[79] + 
       (43*t[80])/4 - (7*t[81])/2 + (53*t[82])/6 + (11*t[83])/2 + 
       (77*t[84])/4 - (97*t[85])/3 - 179*t[86] - (241*t[87])/6 - 
       (253*t[88])/12 - (1235*t[89])/24 + t[97] - 88*t[98] + 104*t[99] - 
       (307*t[100])/2 - 24*t[101])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((121*t[1])/8 + (67*t[2])/8 + 
       (73*t[3])/2 + (595*t[4])/16 + 134*t[5] + (3961*t[6])/32 - 
       (987*t[7])/8 + (781*t[8])/4 - (2867*t[9])/16 + (163*t[10])/4 + 
       24*t[11] - (1863*t[12])/16 + (21635*t[13])/576 + (257*t[14])/8 + 
       (16063*t[15])/288 - 4*t[18] + 16*t[21] + 4*t[22] - 20*t[23] + 
       2*t[24] - 10*t[25] - 2*t[26] - 10*t[27] + 8*t[28] + 10*t[29] - 
       4*t[30] + (3*t[31])/2 - 8*t[32] + 16*t[33] - 21*t[34] - 26*t[35] + 
       4*t[36] - 2*t[37] + 13*t[38] + 2*t[39] - 12*t[40] + (17*t[41])/8 - 
       (41*t[42])/8 + (107*t[43])/16 - 28*t[44] + (61*t[45])/8 + 
       (39*t[46])/4 - (233*t[47])/4 + (645*t[48])/16 + (41*t[49])/2 - 
       (227*t[50])/16 - (113*t[51])/16 + (691*t[52])/16 - (33*t[53])/2 + 
       (147*t[54])/16 - 8*t[57] - 2*t[58] - (5*t[59])/4 + (71*t[60])/4 + 
       (391*t[61])/4 + (1375*t[62])/8 + (87*t[63])/8 - (687*t[64])/4 - 
       (1601*t[65])/24 + (543*t[66])/8 - 8*t[69] + 8*t[70] - 8*t[71] + 
       6*t[72] - 12*t[73] + 17*t[74] + 54*t[75] - 10*t[76] + 8*t[77] + 
       31*t[78] - 44*t[79] + (11*t[80])/4 - (27*t[81])/2 + (19*t[82])/2 + 
       (11*t[83])/2 + (61*t[84])/4 - 34*t[85] - 203*t[86] - (69*t[87])/2 - 
       (73*t[88])/4 - (381*t[89])/8 + t[97] - 88*t[98] + 128*t[99] - 
       (211*t[100])/2 - 24*t[101])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-57*t[1])/4 + (43*t[2])/4 - (1673*t[3])/24 + 
       (10375*t[4])/72 - (277*t[5])/16 - (2305*t[6])/144 + (275*t[7])/8 - 
       (2045*t[8])/8 + (18013*t[9])/144 + (14335*t[10])/144 + 
       (6233*t[11])/144 - (739*t[12])/36 + (43733*t[13])/432 + 
       (7083*t[14])/32 + (18865*t[15])/288 + (10*t[18])/3 + 4*t[19] + 
       (20*t[20])/3 + (34*t[21])/3 - (32*t[22])/3 + (20*t[23])/3 - 
       (439*t[24])/18 + (292*t[25])/9 - (281*t[26])/18 - (10*t[27])/9 - 
       4*t[28] + (16*t[29])/3 + 6*t[30] + (26*t[31])/3 - (76*t[32])/3 + 
       (161*t[33])/18 - (14*t[34])/3 - 20*t[35] + 2*t[36] - 8*t[37] - 
       (95*t[38])/6 - (17*t[39])/18 + (128*t[40])/3 - (49*t[41])/12 + 
       (23*t[42])/4 + (8*t[43])/3 + (47*t[44])/6 - (49*t[45])/12 - 
       (69*t[46])/4 - (511*t[47])/6 - (6791*t[48])/144 + (6191*t[49])/144 - 
       (143*t[50])/144 - (5269*t[51])/288 - (7825*t[52])/144 - 
       (7055*t[53])/144 - (2855*t[54])/144 - 4*t[57] - (13*t[58])/3 + 
       (25*t[59])/3 + (14237*t[60])/36 + (7885*t[61])/18 + (2353*t[62])/18 + 
       (3785*t[63])/18 - (5627*t[64])/9 - (32891*t[65])/108 - 
       (30907*t[66])/108 - 12*t[69] + (16*t[70])/3 - (16*t[71])/3 - 
       (4*t[72])/3 + 12*t[73] - (17*t[74])/3 + 36*t[75] + (20*t[76])/3 - 
       (68*t[77])/3 + 55*t[78] - 8*t[79] - 39*t[80] + (135*t[81])/2 - 
       (751*t[82])/18 + (8*t[83])/3 + 41*t[84] - (331*t[85])/36 - 
       (1019*t[86])/6 - (8825*t[87])/36 - (8825*t[88])/72 - 
       (13751*t[89])/72 + (28*t[97])/3 + 24*t[98] + 82*t[99] - 860*t[100] + 
       48*t[101])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-85*t[1])/12 - (277*t[2])/12 - (3379*t[3])/24 + (17273*t[4])/72 - 
       (2695*t[5])/16 + (16195*t[6])/144 + (17*t[7])/2 + (1925*t[8])/12 + 
       (16925*t[9])/144 - (2809*t[10])/144 + (16207*t[11])/144 - 
       (2033*t[12])/36 - (851*t[13])/36 + (88561*t[14])/288 + 
       (8417*t[15])/288 - (14*t[18])/3 - (8*t[20])/3 + (10*t[21])/3 - 
       (34*t[22])/3 - (10*t[23])/3 + (313*t[24])/18 - (55*t[25])/9 + 
       (35*t[26])/18 - (227*t[27])/9 + 8*t[28] - (10*t[29])/3 + 2*t[30] + 
       4*t[31] - (8*t[32])/3 + (541*t[33])/18 + (58*t[34])/3 - 16*t[35] - 
       30*t[36] - 8*t[37] - (7*t[38])/2 - (253*t[39])/18 - 10*t[40] + 
       (27*t[41])/4 - (109*t[42])/12 - (41*t[43])/8 - (25*t[44])/2 + 
       (13*t[45])/3 + (59*t[46])/12 - (160*t[47])/3 + (2627*t[48])/144 + 
       (8509*t[49])/144 + (5387*t[50])/144 - (6575*t[51])/288 - 
       (299*t[52])/144 - (9661*t[53])/144 - (3373*t[54])/144 - 4*t[57] - 
       (23*t[58])/3 - (13*t[59])/3 + (11311*t[60])/36 + (2413*t[61])/9 + 
       (5599*t[62])/36 + (5309*t[63])/36 - (21349*t[64])/36 - 
       (40111*t[65])/108 - (17303*t[66])/108 - 12*t[69] + (16*t[70])/3 - 
       (16*t[71])/3 - (4*t[72])/3 + 12*t[73] + (173*t[74])/3 + 36*t[75] + 
       (20*t[76])/3 - (68*t[77])/3 + (203*t[78])/3 - 8*t[79] - 
       (193*t[80])/3 + (215*t[81])/6 - (713*t[82])/18 + (8*t[83])/3 + 
       (85*t[84])/3 - (521*t[85])/36 - (1475*t[86])/6 - (8179*t[87])/36 - 
       (8179*t[88])/72 - (12877*t[89])/72 + (28*t[97])/3 + 24*t[98] + 
       158*t[99] - 708*t[100] + 48*t[101])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*(-t[1] - 39*t[2] + 
       (81*t[3])/4 - (815*t[4])/12 - 5*t[5] - (1741*t[6])/24 - (351*t[7])/4 - 
       (615*t[8])/4 - (181*t[9])/3 + (5359*t[10])/24 - (4669*t[11])/24 + 
       (2885*t[12])/24 - (2843*t[13])/72 - (3573*t[14])/16 - (595*t[15])/12 - 
       8*t[21] + 12*t[22] + 32*t[23] - (178*t[24])/3 + (2*t[25])/3 + 
       (52*t[26])/3 + (82*t[27])/3 - 12*t[28] + 15*t[29] + 2*t[30] - 
       8*t[31] + 8*t[32] - (82*t[33])/3 - 26*t[34] + 16*t[35] + 12*t[36] + 
       8*t[37] - 2*t[38] + (22*t[39])/3 + 36*t[40] + 3*t[41] - 3*t[42] - 
       (25*t[43])/4 + (9*t[44])/2 + (29*t[45])/2 - 16*t[46] + 7*t[47] - 
       (473*t[48])/24 - (853*t[49])/24 - (773*t[50])/24 + (719*t[51])/48 - 
       (619*t[52])/24 + (517*t[53])/24 - (65*t[54])/24 + 4*t[57] + 2*t[58] + 
       11*t[59] - (703*t[60])/6 - (1321*t[61])/6 + (535*t[62])/12 - 
       (319*t[63])/12 + (839*t[64])/12 + (3709*t[65])/18 + (3245*t[66])/18 + 
       12*t[69] - 24*t[73] - 104*t[74] - 28*t[75] - 70*t[76] - 14*t[78] - 
       16*t[79] - 120*t[80] - 4*t[81] + (44*t[82])/3 + 36*t[83] - 
       (155*t[84])/2 - (193*t[85])/6 + 118*t[86] + (1033*t[87])/6 + 
       (1033*t[88])/12 + (1159*t[89])/12 - 2*t[97] - 416*t[98] + 184*t[99] + 
       596*t[100] + 96*t[101])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*(27*t[1] - 22*t[2] + (293*t[3])/4 + 
       (169*t[4])/4 + 26*t[5] + (263*t[6])/8 - (311*t[7])/4 + (489*t[8])/4 - 
       238*t[9] - (33*t[10])/8 - (837*t[11])/8 - (683*t[12])/8 - 
       (383*t[13])/8 - (10009*t[14])/48 - (253*t[15])/18 - 8*t[21] + 
       4*t[22] + 8*t[23] + 28*t[24] - 14*t[25] - 4*t[26] - 14*t[27] - 
       4*t[28] - 5*t[29] + 22*t[30] + 4*t[31] + 8*t[32] + 32*t[33] - 
       20*t[34] + 20*t[35] + 4*t[36] + 4*t[37] + 24*t[38] - 44*t[39] - 
       2*t[40] - t[41] + t[42] - (29*t[43])/4 + (13*t[44])/2 + (33*t[45])/2 - 
       11*t[46] + 9*t[47] + (243*t[48])/8 + (63*t[49])/8 + (207*t[50])/8 + 
       (363*t[51])/16 - (15*t[52])/8 - (207*t[53])/8 - (237*t[54])/8 + 
       4*t[57] + 4*t[58] - 9*t[59] - (491*t[60])/2 - (977*t[61])/2 + 
       (335*t[62])/4 - (503*t[63])/4 + (483*t[64])/4 + (201*t[65])/2 + 
       (2275*t[66])/6 + 12*t[69] - 24*t[73] - 4*t[74] - 28*t[75] - 70*t[76] + 
       6*t[78] - 16*t[79] - 160*t[80] - 54*t[81] + 18*t[82] + 36*t[83] - 
       (195*t[84])/2 - (81*t[85])/2 - 2*t[86] + (401*t[87])/2 + 
       (401*t[88])/4 + (463*t[89])/4 - 2*t[97] - 416*t[98] + 304*t[99] + 
       836*t[100] + 96*t[101])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((-149*t[1])/5 - (128*t[2])/5 - (417*t[3])/10 + 
       (2413*t[4])/30 - (539*t[5])/20 + (3641*t[6])/60 - 121*t[7] - 
       (446*t[8])/5 - (769*t[9])/12 + (7153*t[10])/60 - (1031*t[11])/12 + 
       (476*t[12])/15 + (1787*t[13])/45 - (7393*t[14])/120 - (29*t[15])/120 + 
       (4*t[16])/5 + (8*t[17])/5 - (32*t[18])/5 + (16*t[19])/5 + 
       (24*t[20])/5 - 12*t[21] + (92*t[22])/5 + (76*t[23])/5 - 
       (848*t[24])/15 + (238*t[25])/15 - (28*t[26])/15 + (34*t[27])/3 - 
       4*t[28] + (24*t[29])/5 + (44*t[30])/5 - (24*t[31])/5 + (32*t[32])/5 - 
       (224*t[33])/15 - (76*t[34])/5 + (28*t[35])/5 + (84*t[36])/5 + 
       (12*t[37])/5 - (86*t[38])/5 + (128*t[39])/15 + 6*t[40] + (3*t[41])/5 - 
       (27*t[42])/5 + (81*t[43])/10 + 6*t[44] + (58*t[45])/5 - (69*t[46])/5 - 
       42*t[47] - (659*t[48])/60 + (143*t[49])/60 - (151*t[50])/12 - 
       (817*t[51])/120 + (1331*t[52])/60 - (143*t[53])/60 + (517*t[54])/60 + 
       (4*t[56])/5 - 4*t[57] - (24*t[58])/5 + (89*t[59])/5 + (593*t[60])/15 + 
       (152*t[61])/15 + (6001*t[62])/30 + (4739*t[63])/30 - (2642*t[64])/15 - 
       (5519*t[65])/45 + (4172*t[66])/45 - (8*t[68])/5 + (12*t[69])/5 + 
       (96*t[70])/5 - (96*t[71])/5 - (24*t[72])/5 + (48*t[73])/5 - 
       (292*t[74])/5 - (48*t[75])/5 - (54*t[76])/5 - (18*t[77])/5 - 
       (92*t[78])/5 + (48*t[79])/5 - (296*t[80])/5 + (142*t[81])/5 - 
       (446*t[82])/15 - (24*t[83])/5 + (86*t[84])/5 + (164*t[85])/15 + 
       (42*t[86])/5 - (86*t[87])/15 - (43*t[88])/15 - (337*t[89])/6 - 
       (6*t[97])/5 - 96*t[99] - (1422*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{0, 0, 1}, 1 - w]*((-63*t[1])/20 - (167*t[2])/4 - (199*t[3])/5 - 
       (1023*t[4])/40 + (2357*t[5])/40 - (29*t[6])/16 + (291*t[7])/20 + 
       (467*t[8])/4 - (1879*t[9])/40 - (869*t[10])/80 + (9069*t[11])/80 + 
       (1527*t[12])/80 + (4688*t[13])/45 + (10301*t[14])/480 + 
       (451*t[15])/60 + (4*t[16])/5 - (4*t[17])/5 + (24*t[18])/5 + 
       (12*t[19])/5 + (12*t[20])/5 + (36*t[21])/5 - (52*t[23])/5 - 
       (49*t[24])/2 - 7*t[25] + (21*t[26])/2 + 15*t[27] - (24*t[29])/5 + 
       (12*t[30])/5 - (12*t[31])/5 - (137*t[33])/10 + (42*t[34])/5 + 
       (8*t[36])/5 - (24*t[37])/5 - (111*t[38])/10 + (113*t[39])/10 + 
       (14*t[40])/5 + (159*t[41])/20 - (111*t[42])/20 + (533*t[43])/20 - 
       (109*t[44])/10 - (119*t[45])/10 - (11*t[46])/4 + (191*t[47])/5 - 
       (481*t[48])/80 - (3*t[49])/16 - (1721*t[50])/80 - (363*t[51])/160 - 
       (231*t[52])/80 - (125*t[53])/16 + (275*t[54])/16 + (8*t[55])/5 - 
       (12*t[58])/5 + (69*t[59])/5 + (2037*t[60])/20 + (4509*t[61])/20 - 
       (5443*t[62])/40 + (639*t[63])/8 + (5023*t[64])/40 + (3407*t[65])/30 - 
       (2573*t[66])/10 + (4*t[67])/5 + (24*t[68])/5 - (48*t[70])/5 + 
       (48*t[71])/5 - (191*t[74])/5 + 24*t[76] - (16*t[77])/5 - 
       (83*t[78])/5 + (898*t[80])/5 + (279*t[81])/10 + (373*t[82])/10 + 
       (108*t[83])/5 + (78*t[84])/5 + (149*t[85])/20 + (744*t[86])/5 - 
       (1209*t[87])/20 - (1161*t[88])/40 - (19*t[89])/8 + (8*t[92])/5 - 
       (8*t[94])/5 + (12*t[97])/5 + 144*t[98] - (786*t[99])/5 - 
       (1212*t[100])/5)*\[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - v]*
      ((241*t[1])/20 - (327*t[2])/20 - 41*t[3] + (949*t[4])/40 - 
       (3659*t[5])/40 - (281*t[6])/80 + (693*t[7])/4 - (2619*t[8])/20 + 
       (10377*t[9])/40 - (14893*t[10])/80 + (10117*t[11])/80 + 
       (6847*t[12])/80 + (8957*t[13])/180 + (17021*t[14])/480 - 
       (979*t[15])/20 - (16*t[16])/5 + (24*t[18])/5 + (12*t[19])/5 + 
       (24*t[20])/5 + (48*t[21])/5 - (192*t[22])/5 - 16*t[23] - 
       (327*t[24])/10 - (92*t[25])/5 + (219*t[26])/10 + (52*t[27])/5 + 
       (12*t[29])/5 + (12*t[30])/5 - (24*t[31])/5 - (36*t[32])/5 - 
       (187*t[33])/10 + (174*t[34])/5 - (32*t[36])/5 - (24*t[37])/5 - 
       (31*t[38])/10 + (163*t[39])/10 - (62*t[40])/5 + (231*t[41])/20 - 
       (159*t[42])/20 + (287*t[43])/20 + (107*t[44])/10 - (653*t[45])/10 - 
       (27*t[46])/4 + 85*t[47] - (753*t[48])/80 - (47*t[49])/80 + 
       (2167*t[50])/80 + (1461*t[51])/160 - (2519*t[52])/80 + 
       (687*t[53])/80 + (591*t[54])/80 - (8*t[55])/5 + (12*t[58])/5 + 
       (69*t[59])/5 + (2037*t[60])/20 + (4509*t[61])/20 - (5443*t[62])/40 + 
       (639*t[63])/8 + (5023*t[64])/40 + (3407*t[65])/30 - (2573*t[66])/10 + 
       (4*t[67])/5 + (24*t[68])/5 - (48*t[70])/5 + (48*t[71])/5 - 
       (191*t[74])/5 + 24*t[76] - (16*t[77])/5 - (83*t[78])/5 + 
       (898*t[80])/5 + (279*t[81])/10 + (373*t[82])/10 + (108*t[83])/5 + 
       (78*t[84])/5 + (149*t[85])/20 + (744*t[86])/5 - (1209*t[87])/20 - 
       (1161*t[88])/40 - (19*t[89])/8 + (8*t[92])/5 - (8*t[94])/5 + 
       (12*t[97])/5 + 144*t[98] - (786*t[99])/5 - (1212*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-4*t[1])/5 - (41*t[2])/5 + (171*t[3])/10 + (1913*t[4])/30 - 
       (403*t[5])/20 + (3973*t[6])/60 - (567*t[7])/10 - (51*t[8])/10 - 
       (719*t[9])/12 - (4573*t[10])/60 - (1345*t[11])/12 - (1622*t[12])/15 - 
       (5267*t[13])/60 - (699*t[14])/40 - (19*t[15])/24 - (4*t[17])/5 - 
       (64*t[18])/5 + (16*t[19])/5 - (24*t[20])/5 - (48*t[21])/5 - 4*t[22] + 
       (48*t[23])/5 + (176*t[24])/15 - (46*t[25])/15 - (62*t[26])/15 - 
       (362*t[27])/15 + 4*t[28] - (28*t[30])/5 + (24*t[31])/5 + (8*t[32])/5 + 
       (128*t[33])/15 - (54*t[34])/5 - (48*t[35])/5 - (28*t[36])/5 - 
       (12*t[37])/5 + (34*t[38])/5 - (32*t[39])/15 - 4*t[40] - (34*t[41])/5 + 
       2*t[42] + (44*t[43])/5 + 2*t[44] + (7*t[45])/5 - (9*t[46])/5 - 
       (154*t[47])/5 + (899*t[48])/60 + (287*t[49])/12 + (611*t[50])/60 - 
       (917*t[51])/120 + (65*t[52])/12 - (287*t[53])/12 - (125*t[54])/12 - 
       (4*t[56])/5 + 4*t[57] - (6*t[58])/5 + (9*t[59])/5 - (947*t[60])/15 - 
       (3068*t[61])/15 + (6941*t[62])/30 + (2359*t[63])/30 - 
       (2032*t[64])/15 - (9319*t[65])/45 + (11332*t[66])/45 - (8*t[68])/5 + 
       (12*t[69])/5 + (96*t[70])/5 - (96*t[71])/5 - (24*t[72])/5 + 
       (48*t[73])/5 + (108*t[74])/5 - (48*t[75])/5 - (54*t[76])/5 - 
       (18*t[77])/5 - (12*t[78])/5 + (48*t[79])/5 - (456*t[80])/5 - 
       (58*t[81])/5 - (406*t[82])/15 - (24*t[83])/5 + (6*t[84])/5 + 
       (64*t[85])/15 - (438*t[86])/5 + (254*t[87])/15 + (127*t[88])/15 - 
       (245*t[89])/6 - (6*t[97])/5 - (462*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{0, 1, 1}, 1 - w]*(3*t[1] - (193*t[2])/5 - 39*t[3] + 
       (4657*t[4])/30 - (717*t[5])/5 + (5849*t[6])/60 - (28*t[7])/5 - 
       (614*t[8])/5 + (308*t[9])/3 - (10097*t[10])/60 + (475*t[11])/12 + 
       (1169*t[12])/60 + (220*t[13])/3 + (61*t[14])/8 - (1031*t[15])/12 + 
       (8*t[16])/5 - 4*t[17] + (64*t[18])/5 - (24*t[19])/5 - (24*t[21])/5 + 
       16*t[22] + (56*t[23])/5 + (86*t[24])/3 + (328*t[25])/15 - 
       (358*t[26])/15 - (952*t[27])/15 + (48*t[28])/5 - (24*t[30])/5 + 
       (48*t[31])/5 + (8*t[32])/5 + (718*t[33])/15 + (48*t[35])/5 + 
       (16*t[36])/5 + (24*t[37])/5 + (42*t[38])/5 - (646*t[39])/15 + 
       (24*t[40])/5 + (7*t[41])/5 - (7*t[42])/5 + (59*t[43])/5 - 
       (26*t[44])/5 - (44*t[45])/5 - 55*t[46] + (256*t[47])/5 - 
       (1463*t[48])/60 + (109*t[49])/12 + (29*t[50])/12 + (1961*t[51])/120 + 
       (67*t[52])/12 - (109*t[53])/12 - (491*t[54])/60 + (16*t[56])/5 - 
       16*t[57] + (8*t[59])/5 + (1874*t[60])/15 + (1694*t[61])/15 + 
       (1142*t[62])/15 + (248*t[63])/3 - (1169*t[64])/15 - (229*t[65])/9 - 
       (7459*t[66])/45 - (16*t[67])/5 - (24*t[68])/5 + (36*t[69])/5 + 
       (36*t[72])/5 - (268*t[74])/5 - (52*t[77])/5 - 12*t[78] - 
       (384*t[80])/5 + 26*t[81] - (334*t[82])/3 - (18*t[83])/5 + 
       (37*t[84])/5 + (494*t[85])/15 - 28*t[86] - (536*t[87])/15 - 
       (268*t[88])/15 + (112*t[89])/3 - (16*t[92])/5 + (16*t[94])/5 - 
       72*t[99] - (396*t[100])/5)*\[Zeta][2]^2 + HPL[{0, 1, 1}, 1 - v]*
      (-7*t[1] - (391*t[2])/5 - 65*t[3] - (1217*t[4])/30 + (352*t[5])/5 + 
       (1727*t[6])/60 - (159*t[7])/5 + (13*t[8])/5 - (295*t[9])/3 + 
       (7849*t[10])/60 + (1997*t[11])/60 + (1019*t[12])/60 + (165*t[13])/2 + 
       (8957*t[14])/120 + (2623*t[15])/20 + (4*t[16])/5 + (16*t[17])/5 + 
       (32*t[18])/5 - (24*t[19])/5 - (12*t[21])/5 + 8*t[22] + (28*t[23])/5 + 
       (74*t[24])/3 + (1252*t[25])/15 - (1042*t[26])/15 - (628*t[27])/15 + 
       (24*t[28])/5 - (24*t[30])/5 + (24*t[31])/5 - (8*t[32])/5 + 
       (122*t[33])/3 + (96*t[35])/5 + (8*t[36])/5 + (72*t[37])/5 - 
       (102*t[38])/5 - (538*t[39])/15 + (12*t[40])/5 - (47*t[41])/5 + 
       (47*t[42])/5 + (172*t[43])/5 + (62*t[44])/5 + (74*t[45])/5 + 
       (117*t[46])/5 - (316*t[47])/5 + (247*t[48])/60 + (1211*t[49])/60 - 
       (1049*t[50])/60 - (1201*t[51])/120 + (1289*t[52])/60 - 
       (1211*t[53])/60 - (1301*t[54])/60 + (8*t[56])/5 - 8*t[57] + 
       (8*t[59])/5 + (1874*t[60])/15 + (1694*t[61])/15 + (1142*t[62])/15 + 
       (248*t[63])/3 - (1169*t[64])/15 - (229*t[65])/9 - (7459*t[66])/45 - 
       (16*t[67])/5 - (24*t[68])/5 + (36*t[69])/5 + (36*t[72])/5 - 
       (268*t[74])/5 - (52*t[77])/5 - 12*t[78] - (384*t[80])/5 + 26*t[81] - 
       (334*t[82])/3 - (18*t[83])/5 + (37*t[84])/5 + (494*t[85])/15 - 
       28*t[86] - (536*t[87])/15 - (268*t[88])/15 + (112*t[89])/3 - 
       (16*t[92])/5 + (16*t[94])/5 - 72*t[99] - (396*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((173*t[1])/20 + (849*t[2])/20 + (148*t[3])/5 - (421*t[4])/24 + 
       (1593*t[5])/40 + (6773*t[6])/240 + (111*t[7])/20 + (2991*t[8])/20 - 
       (1625*t[9])/24 - (39311*t[10])/240 + (3287*t[11])/240 - 
       (4415*t[12])/48 - (4957*t[13])/90 + (1213*t[14])/480 + 
       (293*t[15])/60 - (8*t[16])/5 - (8*t[17])/5 - (16*t[18])/5 - 
       (4*t[19])/5 + (24*t[20])/5 + (12*t[21])/5 - (68*t[22])/5 - 
       (28*t[23])/5 + (19*t[24])/6 - (542*t[25])/15 + (853*t[26])/30 + 
       (278*t[27])/15 + 4*t[28] + 8*t[30] + (8*t[32])/5 - (89*t[33])/6 - 
       (12*t[34])/5 - (28*t[35])/5 - (44*t[36])/5 - (36*t[37])/5 + 
       (133*t[38])/10 + (113*t[39])/6 - (48*t[40])/5 + (211*t[41])/20 - 
       (211*t[42])/20 + (153*t[43])/20 - (117*t[44])/10 - (59*t[45])/10 + 
       (169*t[46])/20 - (57*t[47])/5 + (9781*t[48])/240 + (563*t[49])/240 + 
       (1357*t[50])/240 - (1633*t[51])/480 + (563*t[52])/240 - 
       (563*t[53])/240 + (5893*t[54])/240 - (4*t[56])/5 + 4*t[57] - 
       (27*t[59])/5 - (6001*t[60])/60 - (821*t[61])/12 + (4567*t[62])/120 - 
       (2867*t[63])/24 + (27269*t[64])/120 - (2029*t[65])/90 + 
       (7441*t[66])/90 + (8*t[67])/5 + (24*t[68])/5 - (24*t[69])/5 - 
       (48*t[72])/5 + (48*t[73])/5 + (297*t[74])/5 - (48*t[75])/5 - 
       (72*t[76])/5 - 8*t[77] + (149*t[78])/5 - (48*t[79])/5 + 34*t[80] - 
       (301*t[81])/10 + (1427*t[82])/30 - (18*t[83])/5 + (41*t[84])/5 - 
       (653*t[85])/12 + (184*t[86])/5 + (3613*t[87])/60 + (3613*t[88])/120 + 
       (3931*t[89])/120 + (8*t[92])/5 - (8*t[94])/5 - (12*t[97])/5 - 
       (288*t[98])/5 + (966*t[99])/5 - 72*t[100])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*((93*t[1])/20 + (1721*t[2])/20 + 
       (129*t[3])/5 - (7589*t[4])/120 + (3377*t[5])/40 - (15667*t[6])/240 - 
       (51*t[7])/20 + (1173*t[8])/20 - (3853*t[9])/120 - (9239*t[10])/240 - 
       (7537*t[11])/240 - (12019*t[12])/240 - (3599*t[13])/180 - 
       (11539*t[14])/480 + (1523*t[15])/60 - (4*t[16])/5 + (4*t[17])/5 - 
       (16*t[18])/5 - (4*t[19])/5 - (24*t[20])/5 + (12*t[21])/5 + 
       (4*t[22])/5 - (28*t[23])/5 - (187*t[24])/30 - (47*t[25])/15 + 
       (79*t[26])/30 + (311*t[27])/15 - (44*t[28])/5 - (24*t[29])/5 - 
       (32*t[30])/5 - (48*t[31])/5 - (32*t[32])/5 - (487*t[33])/30 - 
       (96*t[34])/5 + (68*t[36])/5 - (12*t[37])/5 - (3*t[38])/10 + 
       (223*t[39])/30 + (52*t[40])/5 - (141*t[41])/20 + (141*t[42])/20 + 
       (203*t[43])/20 - (109*t[44])/10 - (33*t[45])/10 + (85*t[46])/4 + 
       (113*t[47])/5 + (4789*t[48])/240 - (7069*t[49])/240 - (727*t[50])/48 - 
       (125*t[51])/96 - (781*t[52])/240 + (7069*t[53])/240 + 
       (8101*t[54])/240 - (4*t[56])/5 + 4*t[57] - (27*t[59])/5 - 
       (6001*t[60])/60 - (821*t[61])/12 + (4567*t[62])/120 - 
       (2867*t[63])/24 + (27269*t[64])/120 - (2029*t[65])/90 + 
       (7441*t[66])/90 + (8*t[67])/5 + (24*t[68])/5 - (24*t[69])/5 - 
       (48*t[72])/5 + (48*t[73])/5 + (297*t[74])/5 - (48*t[75])/5 - 
       (72*t[76])/5 - 8*t[77] + (149*t[78])/5 - (48*t[79])/5 + 34*t[80] - 
       (301*t[81])/10 + (1427*t[82])/30 - (18*t[83])/5 + (41*t[84])/5 - 
       (653*t[85])/12 + (184*t[86])/5 + (3613*t[87])/60 + (3613*t[88])/120 + 
       (3931*t[89])/120 + (8*t[92])/5 - (8*t[94])/5 - (12*t[97])/5 - 
       (288*t[98])/5 + (966*t[99])/5 - 72*t[100])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*((8*t[1])/5 - (459*t[2])/10 + 
       (199*t[3])/20 + (168*t[4])/5 + (777*t[5])/40 + (207*t[6])/5 - 
       (69*t[7])/4 + (111*t[8])/20 - (2177*t[9])/40 - (297*t[10])/20 + 
       (287*t[11])/10 - (1537*t[12])/40 + (439*t[13])/40 - (3283*t[14])/120 - 
       (2029*t[15])/240 - (4*t[18])/5 - (18*t[24])/5 - 2*t[25] - 2*t[26] - 
       14*t[27] - 4*t[28] + (12*t[31])/5 + 4*t[32] + 2*t[33] - 8*t[35] + 
       4*t[38] - 6*t[39] - 4*t[40] + (21*t[41])/5 - (32*t[42])/5 + 
       (16*t[43])/5 - (12*t[44])/5 - (21*t[45])/10 - (2*t[46])/5 + 
       (3*t[47])/5 + (17*t[48])/20 + 7*t[49] + (269*t[50])/20 + 
       (28*t[51])/5 - (269*t[52])/20 - 7*t[53] - (509*t[54])/20 + 
       (66*t[59])/5 + (327*t[60])/10 + (223*t[61])/5 + (407*t[62])/5 + 
       (69*t[63])/5 - (527*t[64])/5 - (19*t[65])/10 + t[66]/6 - (2*t[67])/5 - 
       (24*t[74])/5 + 4*t[77] - 6*t[78] - (24*t[79])/5 + (134*t[80])/5 + 
       (53*t[81])/5 - (93*t[82])/5 + (3*t[83])/5 + 4*t[84] + (71*t[85])/10 - 
       (149*t[86])/5 - (139*t[87])/10 - (139*t[88])/20 - (629*t[89])/20 - 
       36*t[99] - (258*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*((3*t[1])/5 + (22*t[2])/5 - (661*t[3])/20 - 
       (3*t[4])/10 - (1413*t[5])/40 - (9*t[6])/10 - (229*t[7])/10 - 66*t[8] + 
       (1083*t[9])/40 + (491*t[10])/20 - (591*t[11])/20 + (2083*t[12])/40 + 
       (313*t[13])/18 + (631*t[14])/60 + (6499*t[15])/240 - 6*t[24] + 
       16*t[25] - 6*t[26] + 4*t[28] + (24*t[31])/5 - 4*t[32] + 6*t[33] + 
       6*t[35] - 10*t[38] - 2*t[39] + 4*t[40] + 2*t[41] - (18*t[42])/5 + 
       (21*t[43])/4 + (42*t[44])/5 - 16*t[45] - 2*t[46] - (26*t[47])/5 - 
       (101*t[48])/10 - (71*t[49])/4 - (113*t[50])/10 - (57*t[51])/40 + 
       (113*t[52])/10 + (71*t[53])/4 + (141*t[54])/5 + (66*t[59])/5 + 
       (327*t[60])/10 + (223*t[61])/5 + (407*t[62])/5 + (69*t[63])/5 - 
       (527*t[64])/5 - (19*t[65])/10 + t[66]/6 - (2*t[67])/5 - (24*t[74])/5 + 
       4*t[77] - 6*t[78] - (24*t[79])/5 + (134*t[80])/5 + (53*t[81])/5 - 
       (93*t[82])/5 + (3*t[83])/5 + 4*t[84] + (71*t[85])/10 - (149*t[86])/5 - 
       (139*t[87])/10 - (139*t[88])/20 - (629*t[89])/20 - 36*t[99] - 
       (258*t[100])/5)*\[Zeta][2]^2 + HPL[{0, 1, 1}, 1 - u]*
      (-t[1] - 19*t[2] - 12*t[3] + (17*t[4])/6 - (11*t[5])/2 + 
       (175*t[6])/12 + 5*t[7] - 5*t[8] + (91*t[9])/6 - (37*t[10])/12 + 
       (85*t[11])/12 + (235*t[12])/12 + (322*t[13])/9 + (391*t[14])/24 + 
       (65*t[15])/6 + (38*t[24])/3 + (68*t[25])/3 - (62*t[26])/3 - 
       (68*t[27])/3 + (62*t[33])/3 - 2*t[38] - (62*t[39])/3 + t[41] - t[42] + 
       t[43] + 2*t[44] - 2*t[45] - 5*t[46] + 4*t[47] - (25*t[48])/12 + 
       (25*t[49])/12 - t[50]/12 + (37*t[51])/24 + t[52]/12 - (25*t[53])/12 - 
       (25*t[54])/12 + 4*t[59] + (85*t[60])/3 + (169*t[61])/3 - 
       (55*t[62])/6 + (127*t[63])/6 - (53*t[64])/6 + (158*t[65])/9 - 
       (422*t[66])/9 - 20*t[74] - 4*t[78] + 8*t[80] + 10*t[81] - 
       (154*t[82])/3 + 4*t[84] + (13*t[85])/3 + 24*t[86] - (25*t[87])/3 - 
       (25*t[88])/6 - (31*t[89])/6 - 24*t[99] - 48*t[100])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*(-t[1] - 35*t[2] - 17*t[3] + 
       (211*t[4])/6 - (67*t[5])/2 + (329*t[6])/12 + 5*t[7] - 57*t[8] + 
       (449*t[9])/6 - (143*t[10])/12 + (299*t[11])/12 + (113*t[12])/12 - 
       (56*t[13])/9 - (119*t[14])/24 - (26*t[15])/3 - (86*t[24])/3 - 
       (68*t[25])/3 + (74*t[26])/3 + (68*t[27])/3 + 4*t[28] - 4*t[32] - 
       (74*t[33])/3 - 2*t[38] + (86*t[39])/3 + 4*t[40] + t[41] - t[42] - 
       t[43] - 2*t[44] - 6*t[45] - t[46] + 8*t[47] - (35*t[48])/12 - 
       (37*t[49])/12 + (37*t[50])/12 + (203*t[51])/24 - (37*t[52])/12 + 
       (37*t[53])/12 - (11*t[54])/12 + 4*t[59] + (77*t[60])/3 + 
       (149*t[61])/3 - (47*t[62])/6 + (119*t[63])/6 - (73*t[64])/6 + 
       (238*t[65])/9 - (310*t[66])/9 - 20*t[74] - 4*t[78] + 8*t[80] + 
       10*t[81] + (46*t[82])/3 + 4*t[84] + (5*t[85])/3 + 24*t[86] - 
       (17*t[87])/3 - (17*t[88])/6 - (11*t[89])/6 - 24*t[99] - 48*t[100])*
      \[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - u]*((-3*t[1])/4 - (49*t[2])/4 - 
       11*t[3] + (145*t[4])/8 - (177*t[5])/8 + (175*t[6])/16 + (31*t[7])/4 - 
       (87*t[8])/4 + (203*t[9])/8 - (5*t[10])/16 + (277*t[11])/16 + 
       (267*t[12])/16 - (47*t[13])/6 - (601*t[14])/32 - (183*t[15])/8 - 
       (61*t[24])/2 - 23*t[25] + (49*t[26])/2 + 23*t[27] - (49*t[33])/2 - 
       (3*t[38])/2 + (49*t[39])/2 + (3*t[41])/4 - (3*t[42])/4 + (3*t[43])/4 + 
       (3*t[44])/2 - (3*t[45])/2 - (15*t[46])/4 + 3*t[47] - (57*t[48])/16 - 
       (39*t[49])/16 + (31*t[50])/16 + (69*t[51])/32 - (31*t[52])/16 + 
       (39*t[53])/16 + (7*t[54])/16 + 3*t[59] + (85*t[60])/4 + 
       (137*t[61])/4 - (55*t[62])/8 + (127*t[63])/8 - (85*t[64])/8 + 
       (143*t[65])/6 - (49*t[66])/2 - 15*t[74] - 3*t[78] + 6*t[80] + 
       (15*t[81])/2 + (67*t[82])/2 + 3*t[84] + (13*t[85])/4 + 18*t[86] - 
       (25*t[87])/4 - (25*t[88])/8 + t[89]/8 - 18*t[99] - 36*t[100])*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      (-t[1] - (166*t[2])/5 - (58*t[3])/5 + (239*t[4])/10 - (227*t[5])/10 - 
       (97*t[6])/20 + t[7]/5 + (271*t[8])/5 - (69*t[9])/5 + (41*t[10])/4 + 
       (573*t[11])/20 - (447*t[12])/20 + (907*t[13])/90 + (163*t[14])/120 + 
       (77*t[15])/15 - (4*t[18])/5 - (12*t[23])/5 - (22*t[24])/5 - 4*t[25] + 
       6*t[26] + 4*t[27] + 4*t[28] - (12*t[31])/5 - 4*t[32] - 6*t[33] - 
       4*t[35] - 2*t[38] + 10*t[39] + 4*t[40] + (11*t[41])/5 - (9*t[42])/5 - 
       (62*t[43])/5 - 2*t[44] + (42*t[45])/5 + 5*t[46] - 4*t[47] + 
       (239*t[48])/20 + (43*t[49])/4 + (143*t[50])/20 - (5*t[51])/8 - 
       (143*t[52])/20 - (43*t[53])/4 - (33*t[54])/4 + (24*t[59])/5 - 
       (34*t[60])/5 - (42*t[61])/5 - (294*t[62])/5 - (86*t[63])/5 - 
       (326*t[64])/5 + (62*t[65])/5 + (32*t[66])/15 + (8*t[74])/5 - 4*t[78] + 
       (24*t[79])/5 + 8*t[80] + (4*t[81])/5 + (76*t[82])/5 + (84*t[83])/5 - 
       4*t[84] - (66*t[85])/5 + (264*t[86])/5 + (114*t[87])/5 + 
       (57*t[88])/5 - (31*t[89])/5 - 24*t[99] - (48*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*((-9*t[1])/5 + 24*t[2] - (44*t[3])/5 + 
       t[4]/2 - (277*t[5])/10 - (135*t[6])/4 + 32*t[7] - (328*t[8])/5 + 
       (189*t[9])/5 + (451*t[10])/20 - (361*t[11])/20 + (379*t[12])/20 + 
       (589*t[13])/90 - (2503*t[14])/120 - (679*t[15])/30 - 14*t[24] - 
       8*t[25] + 10*t[26] + 8*t[27] - 4*t[28] - (12*t[31])/5 + 4*t[32] - 
       10*t[33] - 4*t[35] - 2*t[38] + 6*t[39] - 4*t[40] + t[41] - t[42] - 
       (9*t[43])/5 + 6*t[44] + 2*t[45] - (21*t[46])/5 - (339*t[48])/20 - 
       (55*t[49])/4 + (269*t[50])/20 + (21*t[51])/40 - (269*t[52])/20 + 
       (55*t[53])/4 + (13*t[54])/4 + (24*t[59])/5 - (34*t[60])/5 - 
       (42*t[61])/5 - (294*t[62])/5 - (86*t[63])/5 - (326*t[64])/5 + 
       (62*t[65])/5 + (32*t[66])/15 + (8*t[74])/5 - 4*t[78] + (24*t[79])/5 + 
       8*t[80] + (4*t[81])/5 + (76*t[82])/5 + (84*t[83])/5 - 4*t[84] - 
       (66*t[85])/5 + (264*t[86])/5 + (114*t[87])/5 + (57*t[88])/5 - 
       (31*t[89])/5 - 24*t[99] - (48*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]^3*(t[1]/4 + (19*t[2])/4 + 3*t[3] - (65*t[4])/24 + 
       (27*t[5])/8 - (175*t[6])/48 - (5*t[7])/4 + (5*t[8])/4 - (91*t[9])/24 + 
       (37*t[10])/48 - (181*t[11])/48 - (235*t[12])/48 - (101*t[13])/18 - 
       (71*t[14])/96 + (5*t[15])/8 + (5*t[24])/6 - (5*t[25])/3 + 
       (7*t[26])/6 + (5*t[27])/3 - (7*t[33])/6 + t[38]/2 + (7*t[39])/6 - 
       t[41]/4 + t[42]/4 - t[43]/4 - t[44]/2 + t[45]/2 + (5*t[46])/4 - 
       t[47] + (25*t[48])/48 - (25*t[49])/48 + t[50]/48 - (37*t[51])/96 - 
       t[52]/48 + (25*t[53])/48 + (25*t[54])/48 - t[59] - (85*t[60])/12 - 
       (169*t[61])/12 + (55*t[62])/24 - (127*t[63])/24 + (53*t[64])/24 - 
       (79*t[65])/18 + (211*t[66])/18 + 5*t[74] + t[78] - 2*t[80] - 
       (5*t[81])/2 + (29*t[82])/6 - t[84] - (13*t[85])/12 - 6*t[86] + 
       (25*t[87])/12 + (25*t[88])/24 + (31*t[89])/24 + 6*t[99] + 12*t[100])*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]^3*((59*t[1])/60 - (65*t[2])/12 + 
       (323*t[3])/15 - (551*t[4])/40 + (5339*t[5])/120 - (217*t[6])/80 + 
       (93*t[7])/20 + (2807*t[8])/60 - (5101*t[9])/120 - (4091*t[10])/240 + 
       (731*t[11])/48 - (3653*t[12])/80 - (1081*t[13])/270 - 
       (3239*t[14])/480 + (127*t[15])/36 + (31*t[24])/6 - 6*t[25] + 
       (13*t[26])/6 + (2*t[27])/3 - (12*t[31])/5 - (13*t[33])/6 - 2*t[35] + 
       (23*t[38])/6 + (13*t[39])/6 - t[41]/4 + t[42]/4 + (101*t[43])/60 - 
       (23*t[44])/6 + t[45]/2 + (259*t[46])/60 - t[47]/3 + (2341*t[48])/240 + 
       (797*t[49])/80 + (383*t[50])/80 - (27*t[51])/32 - (383*t[52])/80 - 
       (797*t[53])/80 - (2531*t[54])/240 - (3*t[59])/5 - (971*t[60])/60 - 
       (1303*t[61])/60 - (2117*t[62])/40 - (5081*t[63])/120 + 
       (10427*t[64])/120 + (509*t[65])/90 + t[66]/10 + (2*t[67])/15 + 
       (187*t[74])/15 + (13*t[78])/3 + (24*t[79])/5 - (26*t[80])/3 - 
       (289*t[81])/30 + (389*t[82])/30 - (3*t[83])/5 - (11*t[84])/15 - 
       (527*t[85])/60 + (626*t[86])/15 + (211*t[87])/60 + (211*t[88])/120 + 
       (61*t[89])/24 + 26*t[99] + (206*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]^3*(t[1]/4 + (159*t[2])/4 - (47*t[3])/6 - 
       (1647*t[4])/40 - (39*t[5])/8 - (8303*t[6])/240 + (503*t[7])/12 + 
       (523*t[8])/60 + (6383*t[9])/120 - (2207*t[10])/240 - (629*t[11])/240 + 
       (5837*t[12])/240 - (8243*t[13])/540 + (2041*t[14])/96 - 
       (379*t[15])/90 - (4*t[18])/5 - (12*t[23])/5 + (49*t[24])/30 - 
       (5*t[25])/3 + (7*t[26])/6 + 7*t[27] - (12*t[31])/5 - (7*t[33])/6 + 
       4*t[35] + t[38]/2 + (7*t[39])/6 - (43*t[41])/60 - (77*t[42])/60 - 
       (137*t[43])/20 - t[44]/2 + (95*t[45])/6 + (23*t[46])/12 - 
       (17*t[47])/15 - (983*t[48])/240 - (577*t[49])/48 + (59*t[50])/80 - 
       (55*t[51])/32 - (59*t[52])/80 + (577*t[53])/48 + (3889*t[54])/240 - 
       (3*t[59])/5 - (971*t[60])/60 - (1303*t[61])/60 - (2117*t[62])/40 - 
       (5081*t[63])/120 + (10427*t[64])/120 + (509*t[65])/90 + t[66]/10 + 
       (2*t[67])/15 + (187*t[74])/15 + (13*t[78])/3 + (24*t[79])/5 - 
       (26*t[80])/3 - (289*t[81])/30 + (389*t[82])/30 - (3*t[83])/5 - 
       (11*t[84])/15 - (527*t[85])/60 + (626*t[86])/15 + (211*t[87])/60 + 
       (211*t[88])/120 + (61*t[89])/24 + 26*t[99] + (206*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      (t[1] + 8*t[2] + (25*t[3])/2 - 2*t[4] + (29*t[5])/2 - (21*t[6])/2 - 
       11*t[7] + 6*t[8] - 11*t[9] - 2*t[10] - (29*t[11])/2 - 30*t[12] - 
       (271*t[13])/9 - (55*t[14])/12 + (21*t[15])/4 - 12*t[25] + 10*t[26] + 
       12*t[27] + 2*t[28] - 2*t[32] - 10*t[33] + 2*t[38] + 12*t[39] + 
       2*t[40] - t[41] + t[42] - 2*t[43] - 4*t[44] + 7*t[46] - 2*t[47] + 
       7*t[48] - t[49] + t[50] - (3*t[51])/4 - t[52] + t[53] + 2*t[54] - 
       4*t[59] - 35*t[60] - 63*t[61] + (25*t[62])/2 - (49*t[63])/2 + 
       (11*t[64])/2 - (26*t[65])/3 + (194*t[66])/3 + 20*t[74] + 4*t[78] - 
       8*t[80] - 10*t[81] + 26*t[82] - 4*t[84] - 11*t[85] - 24*t[86] + 
       15*t[87] + (15*t[88])/2 + (17*t[89])/2 + 24*t[99] + 48*t[100])*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      (t[1] + 30*t[2] + (23*t[3])/2 - 23*t[4] + (45*t[5])/2 - 22*t[6] + 
       t[7] + 4*t[8] - 26*t[9] + (23*t[10])/2 - 29*t[11] - (25*t[12])/2 - 
       (223*t[13])/9 - (29*t[14])/3 - (43*t[15])/12 - 8*t[25] + 6*t[26] + 
       8*t[27] - 2*t[28] + 2*t[32] - 6*t[33] + 2*t[38] + 4*t[39] - 2*t[40] - 
       t[41] + t[42] + 4*t[45] + 3*t[46] - 6*t[47] + t[48]/2 - (13*t[49])/2 + 
       (5*t[50])/2 - 4*t[51] - (5*t[52])/2 + (13*t[53])/2 + (11*t[54])/2 - 
       4*t[59] - 35*t[60] - 63*t[61] + (25*t[62])/2 - (49*t[63])/2 + 
       (11*t[64])/2 - (26*t[65])/3 + (194*t[66])/3 + 20*t[74] + 4*t[78] - 
       8*t[80] - 10*t[81] + 26*t[82] - 4*t[84] - 11*t[85] - 24*t[86] + 
       15*t[87] + (15*t[88])/2 + (17*t[89])/2 + 24*t[99] + 48*t[100])*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      ((5*t[1])/4 + (95*t[2])/4 + 15*t[3] - (229*t[4])/24 + (103*t[5])/8 - 
       (875*t[6])/48 - (25*t[7])/4 + (25*t[8])/4 - (455*t[9])/24 + 
       (185*t[10])/48 - (713*t[11])/48 - (1175*t[12])/48 - (625*t[13])/18 - 
       (995*t[14])/96 - (85*t[15])/24 - (23*t[24])/6 - (49*t[25])/3 + 
       (83*t[26])/6 + (49*t[27])/3 - (83*t[33])/6 + (5*t[38])/2 + 
       (83*t[39])/6 - (5*t[41])/4 + (5*t[42])/4 - (5*t[43])/4 - (5*t[44])/2 + 
       (5*t[45])/2 + (25*t[46])/4 - 5*t[47] + (125*t[48])/48 - 
       (125*t[49])/48 + (5*t[50])/48 - (185*t[51])/96 - (5*t[52])/48 + 
       (125*t[53])/48 + (125*t[54])/48 - 5*t[59] - (425*t[60])/12 - 
       (845*t[61])/12 + (275*t[62])/24 - (635*t[63])/24 + (265*t[64])/24 - 
       (395*t[65])/18 + (1055*t[66])/18 + 25*t[74] + 5*t[78] - 10*t[80] - 
       (25*t[81])/2 + (241*t[82])/6 - 5*t[84] - (65*t[85])/12 - 30*t[86] + 
       (125*t[87])/12 + (125*t[88])/24 + (155*t[89])/24 + 30*t[99] + 
       60*t[100])*\[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((27*t[1])/5 + (159*t[2])/5 + 30*t[3] - 
       (2059*t[4])/30 + (145*t[5])/2 + (631*t[6])/60 - 9*t[7] + 
       (187*t[8])/5 - (521*t[9])/30 - (277*t[10])/60 - (71*t[11])/60 - 
       (49*t[12])/12 - (417*t[13])/10 + (1021*t[14])/40 + (469*t[15])/30 + 
       (22*t[24])/3 - (20*t[25])/3 + (2*t[26])/3 + (20*t[27])/3 + 
       (24*t[31])/5 - (2*t[33])/3 + 8*t[35] + 6*t[38] + (2*t[39])/3 - 
       3*t[41] + 3*t[42] + (9*t[43])/5 - 6*t[44] - (24*t[45])/5 + 
       (27*t[46])/5 + (48*t[47])/5 + (419*t[48])/60 - (67*t[49])/12 - 
       (949*t[50])/60 - (131*t[51])/120 + (949*t[52])/60 + (67*t[53])/12 + 
       (127*t[54])/12 - (36*t[59])/5 - (71*t[60])/15 + (349*t[61])/15 + 
       (1457*t[62])/30 + (79*t[63])/30 + (3463*t[64])/30 + (1094*t[65])/45 + 
       (1402*t[66])/45 + (108*t[74])/5 + 12*t[78] - (48*t[79])/5 - 
       (46*t[81])/5 + (158*t[82])/15 - (168*t[83])/5 + (44*t[84])/5 + 
       (53*t[85])/3 - (456*t[86])/5 - (709*t[87])/15 - (709*t[88])/30 - 
       (91*t[89])/30 + 72*t[99] + (336*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(3*t[1] + 75*t[2] + 39*t[3] - 
       (115*t[4])/2 + (113*t[5])/2 - (221*t[6])/4 - 11*t[7] + 49*t[8] - 
       (177*t[9])/2 + (75*t[10])/4 - (223*t[11])/4 - (181*t[12])/4 - 
       (118*t[13])/3 + (11*t[14])/8 + 14*t[15] + 34*t[24] + 8*t[25] - 
       14*t[26] - 8*t[27] - 4*t[28] + 4*t[32] + 14*t[33] + 6*t[38] - 
       18*t[39] - 4*t[40] - 3*t[41] + 3*t[42] - t[43] - 2*t[44] + 10*t[45] + 
       11*t[46] - 16*t[47] + (15*t[48])/4 - (15*t[49])/4 - (9*t[50])/4 - 
       (79*t[51])/8 + (9*t[52])/4 + (15*t[53])/4 + (23*t[54])/4 - 12*t[59] - 
       77*t[60] - 165*t[61] + (47*t[62])/2 - (119*t[63])/2 + (57*t[64])/2 - 
       58*t[65] + (374*t[66])/3 + 60*t[74] + 12*t[78] - 24*t[80] - 30*t[81] + 
       18*t[82] - 12*t[84] - 5*t[85] - 72*t[86] + 17*t[87] + (17*t[88])/2 + 
       (27*t[89])/2 + 72*t[99] + 144*t[100])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*(15*t[1] + (79*t[2])/5 + 
       (427*t[3])/10 - (21*t[4])/2 + (117*t[5])/4 - (287*t[6])/4 - 
       (89*t[7])/10 + (71*t[8])/2 - (1673*t[9])/20 - (1457*t[10])/20 + 
       (871*t[11])/20 - (523*t[12])/10 - (1551*t[13])/20 - (1961*t[14])/40 - 
       (67*t[15])/120 - (4*t[16])/5 + (4*t[17])/5 - (16*t[18])/5 + 
       (4*t[22])/5 - 16*t[24] - (184*t[25])/5 + (174*t[26])/5 + 48*t[27] + 
       (84*t[28])/5 - (4*t[29])/5 + 4*t[30] - (12*t[31])/5 - (36*t[32])/5 - 
       (68*t[33])/5 - (108*t[34])/5 + 12*t[35] + (48*t[36])/5 - (4*t[37])/5 + 
       (34*t[38])/5 + (182*t[39])/5 + (84*t[40])/5 - (59*t[41])/5 + 
       (59*t[42])/5 - (72*t[43])/5 - (2*t[44])/5 + (91*t[45])/5 + 
       (109*t[46])/5 - 2*t[47] + (671*t[48])/20 - (81*t[49])/20 + 
       (63*t[50])/20 - (241*t[51])/40 - (111*t[52])/20 + (81*t[53])/20 - 
       (93*t[54])/20 - (4*t[56])/5 + 4*t[57] + (24*t[58])/5 - (92*t[59])/5 - 
       (499*t[60])/5 - (458*t[61])/5 - (961*t[62])/10 - (1863*t[63])/10 + 
       (832*t[64])/5 + 61*t[65] + (231*t[66])/5 - (48*t[72])/5 + 
       (48*t[73])/5 + (44*t[74])/5 - (36*t[75])/5 - (144*t[76])/5 - 
       12*t[77] + (72*t[78])/5 - (24*t[79])/5 - (264*t[80])/5 - 
       (188*t[81])/5 + (294*t[82])/5 - (43*t[84])/5 - 35*t[85] + 
       (362*t[86])/5 + 113*t[87] + (113*t[88])/2 + (151*t[89])/2 - 
       (24*t[97])/5 - (864*t[98])/5 + (1008*t[99])/5 + (1128*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((9*t[1])/5 + (602*t[2])/5 + (879*t[3])/10 - (2327*t[4])/30 + 
       (223*t[5])/4 - (1567*t[6])/60 + (57*t[7])/5 + 134*t[8] - 
       (4919*t[9])/60 + (73*t[10])/60 - (911*t[11])/12 - (4019*t[12])/30 - 
       (3539*t[13])/45 - (4577*t[14])/120 - (3571*t[15])/120 + (4*t[16])/5 - 
       (4*t[17])/5 + (16*t[19])/5 + (72*t[22])/5 + (454*t[24])/15 - 
       (302*t[25])/15 + (164*t[26])/15 + (206*t[27])/15 - (96*t[28])/5 + 
       (4*t[29])/5 + (72*t[32])/5 - (362*t[33])/15 - (108*t[34])/5 - 
       12*t[35] + (208*t[36])/5 - (16*t[37])/5 + 22*t[38] + (28*t[39])/3 - 
       (24*t[40])/5 + t[41] - t[42] - (143*t[43])/10 - 6*t[44] + 32*t[45] + 
       (69*t[46])/5 + (4*t[47])/5 + (337*t[48])/60 - (1873*t[49])/60 + 
       (289*t[50])/60 + (443*t[51])/120 + (143*t[52])/60 + (1873*t[53])/60 + 
       (29*t[54])/12 - (172*t[59])/5 - (3037*t[60])/15 - (4594*t[61])/15 - 
       (1943*t[62])/30 - (7969*t[63])/30 + (3106*t[64])/15 - (211*t[65])/9 + 
       (9239*t[66])/45 - (48*t[72])/5 + (48*t[73])/5 + (444*t[74])/5 - 
       (36*t[75])/5 - (144*t[76])/5 - 12*t[77] + (152*t[78])/5 - 
       (24*t[79])/5 - (424*t[80])/5 - (388*t[81])/5 + (922*t[82])/15 - 
       (123*t[84])/5 - (125*t[85])/3 - (118*t[86])/5 + (407*t[87])/3 + 
       (407*t[88])/6 + (545*t[89])/6 - (24*t[97])/5 - (864*t[98])/5 + 
       (1488*t[99])/5 + (2088*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*((708*t[1])/35 - (2766*t[2])/35 - (28*t[3])/3 + 
       (4274*t[4])/105 - (3398*t[5])/105 + (449*t[6])/21 + (4*t[7])/15 - 
       (3792*t[8])/35 + (3166*t[9])/35 - (1781*t[10])/105 + (1681*t[11])/21 + 
       (247*t[12])/21 + (28297*t[13])/315 - (1433*t[14])/90 - 
       (2176*t[15])/63 - (16*t[17])/5 - (64*t[21])/7 + (64*t[23])/7 - 
       (344*t[24])/35 + (176*t[25])/35 - (256*t[26])/35 - (496*t[27])/35 + 
       (24*t[28])/5 - (752*t[32])/35 + (256*t[33])/35 - (24*t[35])/5 + 
       (584*t[38])/35 - (88*t[39])/35 + (752*t[40])/35 + (60*t[41])/7 - 
       (60*t[42])/7 + (268*t[43])/35 + (536*t[44])/35 + (1576*t[45])/105 - 
       (1264*t[46])/35 - (208*t[47])/21 - (3251*t[48])/105 + 
       (2297*t[49])/105 + (817*t[50])/105 + (3529*t[51])/210 - 
       (817*t[52])/105 - (2297*t[53])/105 - (69*t[54])/7 + (48*t[59])/5 + 
       (372*t[60])/5 + (708*t[61])/5 - (126*t[62])/5 + 54*t[63] - 18*t[64] + 
       (168*t[65])/5 - (648*t[66])/5 - 48*t[74] - (48*t[78])/5 + 
       (96*t[80])/5 + 24*t[81] - (168*t[82])/5 + (48*t[84])/5 + 
       (84*t[85])/5 + (288*t[86])/5 - (132*t[87])/5 - (66*t[88])/5 - 
       (78*t[89])/5 - (288*t[99])/5 - (576*t[100])/5)*\[Zeta][2]^3 + 
     HPL[{1}, 1 - v]*((-876*t[1])/35 - (426*t[2])/35 - (724*t[3])/15 + 
       (506*t[4])/21 - (5422*t[5])/105 + (5441*t[6])/105 + (356*t[7])/15 + 
       (2952*t[8])/35 - (394*t[9])/35 - (109*t[10])/105 + (1549*t[11])/105 + 
       (8971*t[12])/105 + (3623*t[13])/315 + (1991*t[14])/90 + 
       (3068*t[15])/315 + (16*t[17])/5 + (64*t[21])/7 - (64*t[23])/7 - 
       (664*t[24])/35 + (496*t[25])/35 - (16*t[26])/7 - (176*t[27])/35 - 
       (24*t[28])/5 + (752*t[32])/35 + (16*t[33])/7 + (24*t[35])/5 - 
       (184*t[38])/7 - (248*t[39])/35 - (752*t[40])/35 - (132*t[41])/35 + 
       (132*t[42])/35 - (20*t[43])/7 - (40*t[44])/7 - (2584*t[45])/105 + 
       (424*t[46])/35 + (3056*t[47])/105 + (373*t[48])/21 - (911*t[49])/105 - 
       (239*t[50])/21 - (1639*t[51])/210 + (239*t[52])/21 + (911*t[53])/105 - 
       (117*t[54])/35 + (48*t[59])/5 + (372*t[60])/5 + (708*t[61])/5 - 
       (126*t[62])/5 + 54*t[63] - 18*t[64] + (168*t[65])/5 - (648*t[66])/5 - 
       48*t[74] - (48*t[78])/5 + (96*t[80])/5 + 24*t[81] - (168*t[82])/5 + 
       (48*t[84])/5 + (84*t[85])/5 + (288*t[86])/5 - (132*t[87])/5 - 
       (66*t[88])/5 - (78*t[89])/5 - (288*t[99])/5 - (576*t[100])/5)*
      \[Zeta][2]^3 + HPL[{1}, 1 - u]*((-12*t[1])/5 - (228*t[2])/5 - 
       (144*t[3])/5 + 30*t[4] - (174*t[5])/5 + (171*t[6])/5 + 12*t[7] - 
       12*t[8] + (174*t[9])/5 - (33*t[10])/5 + (189*t[11])/5 + 
       (231*t[12])/5 + (652*t[13])/15 - (29*t[14])/10 - (74*t[15])/5 - 
       (96*t[24])/5 + (24*t[25])/5 - (24*t[27])/5 - (24*t[38])/5 + 
       (12*t[41])/5 - (12*t[42])/5 + (12*t[43])/5 + (24*t[44])/5 - 
       (24*t[45])/5 - 12*t[46] + (48*t[47])/5 - (21*t[48])/5 + (21*t[49])/5 + 
       (3*t[50])/5 + (33*t[51])/10 - (3*t[52])/5 - (21*t[53])/5 - 
       (21*t[54])/5 + (48*t[59])/5 + (324*t[60])/5 + 132*t[61] - 
       (102*t[62])/5 + (246*t[63])/5 - (114*t[64])/5 + (232*t[65])/5 - 
       104*t[66] - 48*t[74] - (48*t[78])/5 + (96*t[80])/5 + 24*t[81] - 
       24*t[82] + (48*t[84])/5 + (36*t[85])/5 + (288*t[86])/5 - 
       (84*t[87])/5 - (42*t[88])/5 - (54*t[89])/5 - (288*t[99])/5 - 
       (576*t[100])/5)*\[Zeta][2]^3 + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      ((5*t[1])/6 - t[3]/4 - (15*t[4])/4 - (31*t[5])/4 - (3*t[6])/8 - 
       (15*t[7])/8 - (3*t[8])/8 + 4*t[9] - (9*t[10])/8 - (35*t[11])/8 + 
       (9*t[12])/2 - (7*t[13])/3 - (151*t[14])/24 - (49*t[15])/48 + t[31] - 
       (11*t[43])/8 + t[46]/2 - (7*t[48])/8 - (13*t[49])/4 - (7*t[50])/8 + 
       (5*t[51])/4 + (7*t[52])/8 + (13*t[53])/4 + (7*t[54])/8 - 
       (11*t[59])/6 - (37*t[60])/4 - (21*t[61])/2 + (49*t[62])/4 - 
       (19*t[63])/4 + (21*t[64])/4 + (17*t[65])/2 + (101*t[66])/6 - 2*t[69] + 
       t[70] - t[71] + t[74] + t[81]/2 - t[82]/2 - t[83]/2 + (7*t[85])/4 - 
       (7*t[86])/2 + (21*t[87])/4 + (21*t[88])/8 + (27*t[89])/8)*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*(3*t[2] + 4*t[3] + (5*t[4])/4 + 
       5*t[5] + (53*t[6])/12 - (27*t[7])/2 + (27*t[8])/4 - (103*t[9])/8 + 
       (43*t[10])/8 - 11*t[11] - (35*t[12])/8 - (7*t[13])/6 - 
       (329*t[14])/48 + 2*t[15] + t[18]/3 - t[20] - t[32] - t[34] - t[41] + 
       (5*t[42])/6 + (3*t[43])/4 - (9*t[45])/4 - (5*t[47])/2 + (13*t[48])/4 + 
       (7*t[49])/8 - (13*t[50])/4 - (7*t[51])/16 + (13*t[52])/4 - 
       (7*t[53])/8 + (3*t[54])/2 - (11*t[59])/6 - (37*t[60])/4 - 
       (21*t[61])/2 + (49*t[62])/4 - (19*t[63])/4 + (21*t[64])/4 + 
       (17*t[65])/2 + (101*t[66])/6 - 2*t[69] + t[70] - t[71] + t[74] + 
       t[81]/2 - t[82]/2 - t[83]/2 + (7*t[85])/4 - (7*t[86])/2 + 
       (21*t[87])/4 + (21*t[88])/8 + (27*t[89])/8)*\[Zeta][3] + 
     HPL[{0, 0, 0, 1}, 1 - v]*(4*t[2] - 32*t[3] + 18*t[6] - 16*t[7] + 
       16*t[8] + 14*t[9] + 20*t[10] + 16*t[11] + 16*t[12] + (74*t[13])/3 + 
       (74*t[14])/3 - (26*t[15])/3 - 14*t[32] + 16*t[34] + 8*t[41] - 
       8*t[42] - 16*t[49] + 8*t[51] + 16*t[53] + 14*t[59] + 32*t[60] + 
       48*t[61] - 52*t[62] - 76*t[63] - 4*t[64] + 48*t[65] - (164*t[66])/3 - 
       2*t[71] + 16*t[77] + 16*t[84] + 32*t[87] + 16*t[88] + 28*t[89])*
      \[Zeta][3] + HPL[{0, 0, 0, 1}, 1 - w]*(-10*t[1] - 16*t[3] - 32*t[4] - 
       4*t[5] + 16*t[6] + 16*t[7] + 48*t[8] + 18*t[9] + 36*t[10] + 4*t[12] + 
       (50*t[13])/3 + (80*t[14])/3 + 14*t[15] - 16*t[38] - 14*t[40] + 
       32*t[53] + 14*t[59] + 32*t[60] + 48*t[61] - 52*t[62] - 76*t[63] - 
       4*t[64] + 48*t[65] - (164*t[66])/3 - 2*t[71] + 16*t[77] + 16*t[84] + 
       32*t[87] + 16*t[88] + 28*t[89])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*((-25*t[1])/2 + 3*t[2] - 3*t[3] + 
       (81*t[4])/2 - 7*t[5] + (35*t[6])/4 - (105*t[7])/2 - (5*t[8])/2 - 
       (41*t[9])/2 + (187*t[10])/4 + (95*t[11])/4 - (13*t[12])/4 + 
       (7*t[13])/3 + (549*t[14])/8 + (57*t[15])/4 - 8*t[18] - 8*t[21] - 
       2*t[22] + 8*t[23] - 8*t[24] + 20*t[25] - 11*t[26] - 6*t[27] - 
       6*t[30] - 16*t[31] + 6*t[32] - 6*t[33] - 9*t[34] - 4*t[36] - 4*t[37] - 
       11*t[38] + 9*t[39] + 3*t[40] - (11*t[41])/2 + (3*t[42])/2 + 
       (25*t[43])/2 + 2*t[44] + 13*t[45] - 8*t[46] - 44*t[47] - t[48]/4 - 
       (21*t[49])/4 - (81*t[50])/4 - (13*t[51])/8 + (61*t[52])/4 - 
       (35*t[53])/4 - (77*t[54])/4 - 4*t[58] + 8*t[59] + (183*t[60])/2 + 
       (301*t[61])/2 + 40*t[62] + 133*t[63] - (535*t[64])/4 - (532*t[65])/3 + 
       (197*t[66])/6 - 4*t[69] + 24*t[70] - 24*t[71] + 36*t[72] + 12*t[74] - 
       27*t[76] - 4*t[77] + 20*t[78] - 34*t[80] - 6*t[81] + t[82] + 
       27*t[84] - 28*t[85] - 96*t[86] - 29*t[87] + (45*t[88])/2 - 
       (383*t[89])/4 - 8*t[95] - 10*t[96] + 8*t[97] - 144*t[98] + 144*t[99] - 
       396*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-15*t[1])/2 + 30*t[2] - (163*t[3])/2 - t[4] - t[5]/4 + (309*t[6])/4 - 
       63*t[7] + 127*t[8] - (261*t[9])/4 + (39*t[10])/2 - (171*t[11])/4 - 
       (87*t[12])/4 - (707*t[13])/36 + (703*t[14])/12 + (2747*t[15])/72 - 
       6*t[18] + 8*t[19] + 12*t[20] - 2*t[21] - 2*t[22] + 4*t[23] - 2*t[24] - 
       2*t[26] - 6*t[27] + 4*t[29] - 4*t[30] + 26*t[32] + 12*t[33] - 
       13*t[34] - 2*t[37] - t[38] - 7*t[39] - 7*t[40] + (9*t[41])/2 - 
       (15*t[42])/2 + (15*t[43])/2 - 15*t[44] + 10*t[45] - 4*t[46] - 
       45*t[47] + (87*t[48])/4 + (21*t[49])/2 + (15*t[50])/4 - (11*t[51])/4 + 
       (77*t[52])/4 - (17*t[53])/2 + (161*t[54])/4 - 2*t[58] + 8*t[59] + 
       (183*t[60])/2 + (301*t[61])/2 + 40*t[62] + 133*t[63] - (535*t[64])/4 - 
       (532*t[65])/3 + (197*t[66])/6 - 4*t[69] + 24*t[70] - 24*t[71] + 
       36*t[72] + 12*t[74] - 27*t[76] - 4*t[77] + 20*t[78] - 34*t[80] - 
       6*t[81] + t[82] + 27*t[84] - 28*t[85] - 96*t[86] - 29*t[87] + 
       (45*t[88])/2 - (383*t[89])/4 - 8*t[95] - 10*t[96] + 8*t[97] - 
       144*t[98] + 144*t[99] - 396*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*((-7*t[1])/2 + (35*t[2])/2 - 
       22*t[3] + 30*t[4] + (83*t[5])/2 + 48*t[6] - (441*t[7])/4 + 
       (197*t[8])/4 - (501*t[9])/4 - 10*t[10] + (119*t[11])/4 - t[12]/4 + 
       (449*t[13])/8 + 7*t[14] + (467*t[15])/72 - 2*t[18] + 6*t[19] + 
       20*t[20] + 2*t[21] - 6*t[22] - 4*t[23] + 2*t[24] - 2*t[26] - 2*t[27] - 
       4*t[29] - 4*t[30] + t[32] + 14*t[33] + 9*t[34] - 2*t[36] - 6*t[37] + 
       t[38] - 7*t[39] + 3*t[40] + (17*t[41])/2 - (19*t[42])/2 + 
       (23*t[43])/4 - 9*t[44] + (25*t[45])/2 - 3*t[46] - 37*t[47] - 
       (21*t[48])/4 - (49*t[49])/4 - (133*t[50])/4 + (11*t[51])/2 + 
       (153*t[52])/4 + (5*t[53])/4 + (109*t[54])/4 - 2*t[58] + 10*t[59] + 
       (237*t[60])/2 + 95*t[61] + t[62]/4 - (265*t[63])/4 - 26*t[64] - 
       (493*t[65])/6 - 48*t[66] - 4*t[69] + 16*t[70] - 16*t[71] + 44*t[72] + 
       8*t[74] - 17*t[76] + 2*t[77] + 8*t[78] + 6*t[80] - t[81] + 4*t[82] + 
       (69*t[84])/2 - (11*t[85])/2 - 42*t[86] - (63*t[87])/2 + (81*t[88])/4 - 
       (107*t[89])/4 - 8*t[95] - 8*t[96] + 6*t[97] - 96*t[98] + 72*t[99] - 
       276*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-15*t[1])/2 + (25*t[2])/2 - (177*t[3])/4 + t[4] - (163*t[5])/4 + 
       (89*t[6])/2 + (35*t[7])/4 + (425*t[8])/4 + 56*t[9] - (77*t[10])/4 + 
       (117*t[11])/4 + (81*t[12])/4 - (469*t[13])/72 + (359*t[14])/6 + 
       (995*t[15])/72 - 4*t[18] - 4*t[21] - 2*t[22] + 4*t[23] - 4*t[24] + 
       12*t[25] - 5*t[26] - 2*t[27] + t[29] - 8*t[30] - 16*t[31] + 15*t[32] - 
       6*t[33] - 7*t[34] - 2*t[36] - 6*t[37] - 13*t[38] + 13*t[39] - 
       11*t[40] - (5*t[41])/2 + t[42]/2 + (15*t[43])/4 + (3*t[44])/2 + 
       t[45]/2 + 5*t[46] - 13*t[47] + (103*t[48])/4 - 30*t[49] - 
       (57*t[50])/4 + 14*t[51] + (77*t[52])/4 + 33*t[53] + (15*t[54])/4 - 
       t[58] + 10*t[59] + (237*t[60])/2 + 95*t[61] + t[62]/4 - 
       (265*t[63])/4 - 26*t[64] - (493*t[65])/6 - 48*t[66] - 4*t[69] + 
       16*t[70] - 16*t[71] + 44*t[72] + 8*t[74] - 17*t[76] + 2*t[77] + 
       8*t[78] + 6*t[80] - t[81] + 4*t[82] + (69*t[84])/2 - (11*t[85])/2 - 
       42*t[86] - (63*t[87])/2 + (81*t[88])/4 - (107*t[89])/4 - 8*t[95] - 
       8*t[96] + 6*t[97] - 96*t[98] + 72*t[99] - 276*t[100])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((-113*t[1])/6 + (15*t[2])/2 - 
       (377*t[3])/12 - (149*t[4])/4 + (991*t[5])/24 - (277*t[6])/12 - 
       (97*t[7])/8 + t[8]/8 - (47*t[9])/6 + (139*t[10])/4 - (447*t[11])/8 + 
       (181*t[12])/12 - (3127*t[13])/432 + (7219*t[14])/144 + 
       (551*t[15])/18 + (8*t[18])/3 + 2*t[19] + (8*t[20])/3 + (8*t[21])/3 - 
       (20*t[22])/3 - (8*t[23])/3 + (34*t[24])/3 + 6*t[25] - 5*t[26] + 
       (22*t[27])/3 - (2*t[29])/3 + 2*t[30] + 2*t[31] + (20*t[32])/3 - 
       6*t[33] + (98*t[34])/3 - 4*t[36] - (25*t[38])/3 + 6*t[39] - 10*t[40] + 
       (49*t[41])/6 - (53*t[42])/6 + (523*t[43])/24 - (5*t[44])/3 - 
       (401*t[45])/12 + (5*t[46])/2 - (9*t[47])/2 - (205*t[48])/8 + 
       (361*t[49])/24 - (55*t[50])/24 - (619*t[51])/48 + (119*t[52])/24 - 
       (361*t[53])/24 + (293*t[54])/24 - (16*t[58])/3 + 4*t[59] + 
       (137*t[60])/3 - (454*t[61])/3 + (231*t[62])/2 + (361*t[63])/2 - 
       (177*t[64])/2 - (1571*t[65])/18 + (1931*t[66])/18 - 2*t[69] + 
       (2*t[70])/3 - (2*t[71])/3 + (28*t[72])/3 - 8*t[73] + 10*t[74] + 
       8*t[75] + (130*t[76])/3 - (16*t[77])/3 - (70*t[78])/3 + 
       (296*t[80])/3 + (43*t[81])/3 + (137*t[82])/3 + (40*t[83])/3 - 
       (43*t[84])/6 + (94*t[85])/3 - (134*t[86])/3 - (301*t[87])/3 - 
       (301*t[88])/6 - (229*t[89])/3 + (20*t[97])/3 + 272*t[98] - 276*t[99] - 
       186*t[100])*\[Zeta][3] + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((43*t[1])/6 + (5*t[2])/6 + (179*t[3])/12 + (85*t[4])/4 + 
       (485*t[5])/24 - (265*t[6])/4 + (109*t[7])/8 - (4663*t[8])/24 + 
       (130*t[9])/3 - (911*t[10])/12 - (623*t[11])/24 - (433*t[12])/12 - 
       (14605*t[13])/432 - (199*t[14])/16 - (9*t[15])/2 - (4*t[18])/3 - 
       2*t[19] + (4*t[20])/3 + (2*t[21])/3 - (76*t[22])/3 - (2*t[23])/3 - 
       (16*t[24])/3 - (22*t[25])/3 - t[26]/3 - 6*t[27] + (2*t[29])/3 - 
       2*t[30] - (8*t[31])/3 - (20*t[32])/3 + 6*t[33] + (92*t[34])/3 - 
       4*t[36] - (13*t[38])/3 - 6*t[39] + (10*t[40])/3 - (47*t[41])/6 + 
       (55*t[42])/6 + (433*t[43])/24 + (7*t[44])/3 - (475*t[45])/12 - 
       t[46]/6 + (5*t[47])/2 - (545*t[48])/24 + (117*t[49])/8 + 
       (101*t[50])/8 - (305*t[51])/48 - (511*t[52])/24 - (117*t[53])/8 - 
       (197*t[54])/24 - (2*t[58])/3 + 4*t[59] + (137*t[60])/3 - 
       (454*t[61])/3 + (231*t[62])/2 + (361*t[63])/2 - (177*t[64])/2 - 
       (1571*t[65])/18 + (1931*t[66])/18 - 2*t[69] + (2*t[70])/3 - 
       (2*t[71])/3 + (28*t[72])/3 - 8*t[73] + 10*t[74] + 8*t[75] + 
       (130*t[76])/3 - (16*t[77])/3 - (70*t[78])/3 + (296*t[80])/3 + 
       (43*t[81])/3 + (137*t[82])/3 + (40*t[83])/3 - (43*t[84])/6 + 
       (94*t[85])/3 - (134*t[86])/3 - (301*t[87])/3 - (301*t[88])/6 - 
       (229*t[89])/3 + (20*t[97])/3 + 272*t[98] - 276*t[99] - 186*t[100])*
      \[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - v]*((-83*t[1])/2 + 12*t[2] - 
       78*t[3] - (199*t[4])/2 - (89*t[5])/4 - (55*t[6])/4 + 277*t[7] + 
       35*t[8] + (1077*t[9])/4 - (265*t[10])/2 + (467*t[11])/4 + 
       (525*t[12])/4 + (271*t[13])/6 + (583*t[14])/4 + (319*t[15])/24 + 
       12*t[18] + 12*t[21] - 6*t[22] - 12*t[23] + 12*t[24] + 34*t[26] + 
       18*t[32] - 18*t[33] + 39*t[34] - 30*t[38] + 18*t[39] - 21*t[40] - 
       (15*t[41])/2 + (27*t[42])/2 + 3*t[43] - 69*t[45] + 18*t[46] + 
       93*t[47] - (69*t[48])/4 - (25*t[49])/2 + (27*t[50])/4 - (35*t[51])/4 - 
       (63*t[52])/4 + (25*t[53])/2 - (151*t[54])/4 - 12*t[57] - 6*t[59] + 
       (355*t[60])/2 + (473*t[61])/2 - (597*t[62])/2 + (89*t[63])/2 + 
       (229*t[64])/4 + (400*t[65])/3 - (805*t[66])/2 - 12*t[70] + 12*t[71] - 
       24*t[74] + 69*t[76] - 36*t[78] + 156*t[80] + 55*t[81] + 22*t[82] + 
       6*t[84] + 79*t[85] + 204*t[86] - 169*t[87] - (169*t[88])/2 + 
       (57*t[89])/4 + 6*t[97] + 432*t[98] - 432*t[99] - 180*t[100])*
      \[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - w]*((45*t[1])/2 - 57*t[2] + 
       (31*t[3])/2 + 47*t[4] - 43*t[5] - (201*t[6])/4 + (149*t[7])/2 - 
       (121*t[8])/2 + 131*t[9] - (261*t[10])/4 + (801*t[11])/4 + 
       (171*t[12])/4 + (1753*t[13])/12 + (2017*t[14])/24 - 53*t[15] - 
       6*t[22] - 8*t[23] - 27*t[26] - 18*t[32] + 18*t[33] + 39*t[34] + 
       24*t[38] - 18*t[39] + 15*t[40] + (9*t[41])/2 - (9*t[42])/2 + 3*t[43] - 
       11*t[45] - 40*t[46] + 57*t[47] - (197*t[48])/4 + (223*t[49])/4 - 
       (53*t[50])/4 + (57*t[51])/8 + (17*t[52])/4 - (223*t[53])/4 + 
       (95*t[54])/4 - 12*t[57] - 3*t[58] - 6*t[59] + (355*t[60])/2 + 
       (473*t[61])/2 - (597*t[62])/2 + (89*t[63])/2 + (229*t[64])/4 + 
       (400*t[65])/3 - (805*t[66])/2 - 12*t[70] + 12*t[71] - 24*t[74] + 
       69*t[76] - 36*t[78] + 156*t[80] + 55*t[81] + 22*t[82] + 6*t[84] + 
       79*t[85] + 204*t[86] - 169*t[87] - (169*t[88])/2 + (57*t[89])/4 + 
       6*t[97] + 432*t[98] - 432*t[99] - 180*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*((-16*t[1])/3 + 3*t[2] - 
       (647*t[3])/48 - (33*t[4])/4 + (697*t[5])/96 - (109*t[6])/48 - 
       (69*t[7])/16 - (89*t[8])/16 + (307*t[9])/96 + (159*t[10])/16 - 
       (267*t[11])/16 + (191*t[12])/96 - (7973*t[13])/864 + 
       (6827*t[14])/288 + (9319*t[15])/576 - (4*t[18])/3 - t[20]/3 - 
       (4*t[21])/3 - (8*t[22])/3 + (4*t[23])/3 + (4*t[24])/3 + 4*t[25] - 
       (7*t[26])/2 + (4*t[27])/3 - (5*t[29])/3 - 3*t[30] + (11*t[32])/3 - 
       4*t[33] + (17*t[34])/3 - t[36] - (7*t[38])/3 + 4*t[39] - 3*t[40] + 
       (7*t[41])/6 - (11*t[42])/6 + (187*t[43])/24 + (4*t[44])/3 - 
       (205*t[45])/24 + t[46] - (29*t[47])/4 - (29*t[48])/4 + (29*t[49])/12 - 
       (11*t[50])/12 - (83*t[51])/24 + (31*t[52])/12 - (29*t[53])/12 + 
       (37*t[54])/12 - (17*t[58])/6 + (5*t[59])/2 + (119*t[60])/12 - 
       (461*t[61])/24 + (823*t[62])/16 + (1329*t[63])/16 - (859*t[64])/16 - 
       (4205*t[65])/72 + (3059*t[66])/72 + (8*t[70])/3 - (8*t[71])/3 + 
       (19*t[72])/3 - 2*t[73] + 5*t[74] + 2*t[75] + (28*t[76])/3 - 
       (13*t[77])/3 - (13*t[78])/3 + (79*t[80])/6 + (23*t[81])/6 + 
       (67*t[82])/6 + (10*t[83])/3 - t[84]/6 + (25*t[85])/12 - 
       (401*t[86])/12 - (325*t[87])/12 - (325*t[88])/24 - (1013*t[89])/24 + 
       (8*t[97])/3 + 68*t[98] - 60*t[99] - 150*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*((-11*t[1])/6 + (23*t[2])/6 + 
       (119*t[3])/48 + (29*t[4])/2 + (1043*t[5])/96 - (55*t[6])/8 - 
       (145*t[7])/8 - (217*t[8])/6 - (1537*t[9])/96 - (271*t[10])/24 - 
       (679*t[11])/48 - (1583*t[12])/96 - (274*t[13])/27 + (457*t[14])/96 + 
       (1093*t[15])/192 - (4*t[18])/3 + (4*t[20])/3 - (4*t[21])/3 - 
       (22*t[22])/3 + (4*t[23])/3 - (4*t[24])/3 - (4*t[25])/3 - (5*t[26])/6 - 
       4*t[27] + (5*t[29])/3 + 3*t[30] - (5*t[31])/3 - (5*t[32])/3 + 
       4*t[33] + (17*t[34])/3 - t[36] - (7*t[38])/3 - 4*t[39] + (7*t[40])/3 - 
       (7*t[41])/3 + (5*t[42])/3 + (221*t[43])/48 - (8*t[44])/3 - 
       (91*t[45])/12 - (13*t[46])/6 - (25*t[47])/2 - (35*t[48])/24 + 
       (75*t[49])/8 + (7*t[50])/8 - (155*t[51])/48 - (61*t[52])/24 - 
       (75*t[53])/8 + (25*t[54])/24 - t[58]/6 + (5*t[59])/2 + 
       (119*t[60])/12 - (461*t[61])/24 + (823*t[62])/16 + (1329*t[63])/16 - 
       (859*t[64])/16 - (4205*t[65])/72 + (3059*t[66])/72 + (8*t[70])/3 - 
       (8*t[71])/3 + (19*t[72])/3 - 2*t[73] + 5*t[74] + 2*t[75] + 
       (28*t[76])/3 - (13*t[77])/3 - (13*t[78])/3 + (79*t[80])/6 + 
       (23*t[81])/6 + (67*t[82])/6 + (10*t[83])/3 - t[84]/6 + (25*t[85])/12 - 
       (401*t[86])/12 - (325*t[87])/12 - (325*t[88])/24 - (1013*t[89])/24 + 
       (8*t[97])/3 + 68*t[98] - 60*t[99] - 150*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (-t[1] + 4*t[2] + (91*t[4])/4 - (273*t[5])/8 - (113*t[6])/24 + 
       (73*t[7])/4 - (115*t[8])/2 + (91*t[9])/2 - (125*t[10])/4 - 19*t[11] + 
       (37*t[12])/8 - (2137*t[13])/144 + (7*t[14])/2 - (247*t[15])/16 + 
       t[18]/3 - 2*t[21] + 2*t[23] - 2*t[31] + 2*t[32] - 2*t[33] + 8*t[34] - 
       2*t[38] + 2*t[39] - 3*t[40] - (3*t[41])/2 + (4*t[42])/3 + 3*t[43] - 
       (25*t[45])/4 - t[46] - (3*t[47])/2 - (21*t[48])/4 + (5*t[49])/4 + 
       (39*t[50])/4 - (11*t[51])/8 - (23*t[52])/4 - (5*t[53])/4 - 
       (5*t[54])/4 + (2*t[59])/3 + 10*t[60] - (137*t[61])/4 + (199*t[62])/8 + 
       (289*t[63])/8 - (239*t[64])/8 - (437*t[65])/12 + (367*t[66])/12 + 
       t[69] - t[72] - 3*t[74] + 7*t[76] + 2*t[77] - 4*t[78] - 15*t[80] + 
       (3*t[81])/2 + (5*t[82])/2 + t[83]/2 - (3*t[84])/4 + (5*t[85])/2 - 
       (5*t[86])/2 - 12*t[87] - 6*t[88] + (9*t[89])/4 + t[97] + 48*t[98] - 
       48*t[99] - 24*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*((-13*t[1])/6 - 7*t[2] - 11*t[3] + (25*t[4])/2 + 
       (187*t[5])/8 + (7*t[6])/8 - (119*t[7])/8 + (157*t[8])/8 - 
       (263*t[9])/8 + (195*t[10])/8 - (67*t[11])/4 - (167*t[12])/8 - 
       (901*t[13])/144 + (123*t[14])/8 + (67*t[15])/4 + t[21] - t[23] - 
       t[26] - t[31] - 2*t[32] + 2*t[33] + t[34] - 2*t[39] + 3*t[40] - 
       t[41]/2 + t[42]/2 + (57*t[43])/8 + (9*t[45])/2 - t[46]/2 - 17*t[47] - 
       t[48]/4 + (41*t[49])/4 - (27*t[50])/4 - (15*t[51])/4 + (7*t[52])/4 - 
       (41*t[53])/4 - (3*t[54])/4 - t[58] + (2*t[59])/3 + 10*t[60] - 
       (137*t[61])/4 + (199*t[62])/8 + (289*t[63])/8 - (239*t[64])/8 - 
       (437*t[65])/12 + (367*t[66])/12 + t[69] - t[72] - 3*t[74] + 7*t[76] + 
       2*t[77] - 4*t[78] - 15*t[80] + (3*t[81])/2 + (5*t[82])/2 + t[83]/2 - 
       (3*t[84])/4 + (5*t[85])/2 - (5*t[86])/2 - 12*t[87] - 6*t[88] + 
       (9*t[89])/4 + t[97] + 48*t[98] - 48*t[99] - 24*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*((-3*t[1])/4 + t[2]/3 + (29*t[3])/8 + 
       (59*t[4])/24 - (1013*t[5])/48 + (275*t[6])/48 + (85*t[7])/24 + 
       (551*t[8])/24 + (923*t[9])/48 - (37*t[10])/6 + (323*t[11])/24 + 
       (545*t[12])/48 + (11677*t[13])/864 - (5*t[14])/4 - (4073*t[15])/288 + 
       t[18] + t[21] - (2*t[23])/3 - 2*t[31] + (4*t[35])/3 + (4*t[37])/3 - 
       (11*t[41])/4 + (47*t[42])/12 - (31*t[43])/8 - (7*t[45])/3 - 
       (4*t[46])/3 + (52*t[47])/3 + (55*t[48])/24 + (7*t[49])/8 - 
       (43*t[50])/8 + (9*t[51])/16 + (43*t[52])/8 - (7*t[53])/8 + 
       (31*t[54])/24 - (7*t[59])/2 + (47*t[60])/12 + (91*t[61])/3 - 
       63*t[62] - (63*t[63])/4 + (170*t[64])/3 + (889*t[65])/36 - 
       (550*t[66])/9 - (8*t[69])/3 + t[70]/3 - 4*t[74] + 7*t[79] - t[80]/3 + 
       (16*t[81])/3 - (16*t[82])/3 - (13*t[83])/6 + t[84] + (13*t[85])/3 + 
       (93*t[86])/2 + (4*t[87])/3 + (2*t[88])/3 + (91*t[89])/8 - 
       (35*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((-23*t[1])/12 + (7*t[2])/6 - (175*t[3])/24 - (147*t[4])/8 - 
       (13*t[5])/48 + (521*t[6])/48 + (121*t[7])/6 + (95*t[8])/4 + 
       (689*t[9])/48 + (325*t[10])/24 + (181*t[11])/8 + (521*t[12])/48 + 
       (14167*t[13])/864 + (31*t[14])/2 + (229*t[15])/288 + t[21] - t[23] - 
       t[24] + t[31]/3 + (4*t[35])/3 + (4*t[37])/3 + (13*t[41])/12 - 
       (13*t[42])/12 + (23*t[43])/12 + (49*t[45])/6 - (11*t[46])/3 - 
       (22*t[47])/3 + (11*t[48])/24 - t[49]/8 - (65*t[50])/24 + 
       (33*t[51])/16 + (65*t[52])/24 + t[53]/8 + (31*t[54])/24 - 
       (7*t[59])/2 + (47*t[60])/12 + (91*t[61])/3 - 63*t[62] - (63*t[63])/4 + 
       (170*t[64])/3 + (889*t[65])/36 - (550*t[66])/9 - (8*t[69])/3 + 
       t[70]/3 - 4*t[74] + 7*t[79] - t[80]/3 + (16*t[81])/3 - (16*t[82])/3 - 
       (13*t[83])/6 + t[84] + (13*t[85])/3 + (93*t[86])/2 + (4*t[87])/3 + 
       (2*t[88])/3 + (91*t[89])/8 - (35*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*((4*t[1])/3 - 3*t[2] - 
       (35*t[3])/3 - (77*t[4])/6 + (83*t[5])/4 + (743*t[6])/24 - 
       (13*t[7])/2 + (31*t[8])/3 - (295*t[9])/12 - (33*t[10])/2 + 
       (191*t[11])/24 - (45*t[12])/4 + (385*t[13])/216 + (709*t[14])/72 + 
       (53*t[15])/3 + t[21] - t[23] + 2*t[31] + t[41]/2 - t[42]/2 + 
       (67*t[43])/6 - t[45]/2 + t[46] - 5*t[47] + (9*t[48])/8 - 
       (23*t[49])/6 - (89*t[50])/24 + (7*t[51])/6 + (89*t[52])/24 + 
       (23*t[53])/6 + (37*t[54])/24 + (5*t[60])/12 + (125*t[61])/12 + 
       (1103*t[62])/24 + (55*t[63])/8 + (695*t[64])/24 - (727*t[65])/36 - 
       (173*t[66])/36 - 3*t[69] + t[70] - t[71] + 2*t[74] - 6*t[79] + 
       13*t[80] + t[81] - t[82] - (17*t[83])/3 - t[84]/4 + (11*t[85])/4 - 
       (59*t[86])/3 + (29*t[87])/12 + (29*t[88])/24 + (97*t[89])/8 - 
       17*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      (t[1]/2 + (25*t[2])/6 + (143*t[3])/12 + (317*t[4])/12 - (65*t[5])/6 + 
       (65*t[6])/6 - (75*t[7])/4 - (343*t[8])/12 - 9*t[9] - (1177*t[10])/24 - 
       (2*t[11])/3 - (53*t[12])/8 - (629*t[13])/54 - (911*t[14])/48 - 
       (1015*t[15])/72 + (2*t[18])/3 + (7*t[23])/3 + (7*t[24])/3 + 
       (7*t[31])/3 - (5*t[41])/6 - t[42] + (57*t[43])/4 - (61*t[45])/3 + 
       (68*t[47])/3 + (8*t[48])/3 - (5*t[49])/24 - (37*t[50])/6 + 
       (5*t[51])/48 + (37*t[52])/6 + (5*t[53])/24 + (9*t[54])/4 + 
       (5*t[60])/12 + (125*t[61])/12 + (1103*t[62])/24 + (55*t[63])/8 + 
       (695*t[64])/24 - (727*t[65])/36 - (173*t[66])/36 - 3*t[69] + t[70] - 
       t[71] + 2*t[74] - 6*t[79] + 13*t[80] + t[81] - t[82] - (17*t[83])/3 - 
       t[84]/4 + (11*t[85])/4 - (59*t[86])/3 + (29*t[87])/12 + 
       (29*t[88])/24 + (97*t[89])/8 - 17*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*((3*t[1])/4 + (4*t[3])/3 - 
       (17*t[4])/24 + (47*t[5])/16 + (361*t[6])/48 - t[7]/16 - 
       (431*t[8])/48 - (115*t[9])/48 - (257*t[10])/16 + (523*t[11])/48 - 
       (3*t[12])/16 + (145*t[13])/216 + (533*t[14])/144 + (13*t[15])/48 + 
       t[31]/2 + t[40]/2 + (83*t[43])/48 - (5*t[45])/4 + t[46]/4 + 
       (5*t[47])/2 - t[48]/16 - t[49]/3 - (19*t[50])/48 - t[51]/48 + 
       (19*t[52])/48 + t[53]/3 - (13*t[54])/48 + t[59]/12 + (91*t[60])/24 + 
       (245*t[61])/12 + (149*t[62])/24 + (71*t[63])/8 + (293*t[64])/24 - 
       (367*t[65])/36 - (761*t[66])/36 + t[72]/2 + t[74]/2 - t[77]/2 - 
       3*t[79] + (23*t[80])/2 + t[81]/4 - t[82]/4 - (8*t[83])/3 + t[84]/4 + 
       (9*t[85])/8 - (47*t[86])/12 - (95*t[87])/24 - (95*t[88])/48 - 
       (55*t[89])/16 - 8*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*((-7*t[2])/12 + (5*t[3])/12 + (85*t[4])/24 + 
       (71*t[5])/48 + (43*t[6])/6 - 3*t[7] + (139*t[8])/24 - (13*t[9])/8 - 
       (713*t[10])/48 + (59*t[11])/6 - (7*t[12])/8 + (223*t[13])/216 + 
       (71*t[14])/96 - (175*t[15])/288 + t[18]/6 + t[20]/2 + (4*t[23])/3 + 
       (4*t[24])/3 + (4*t[31])/3 + t[32]/2 + t[34]/2 - (7*t[41])/12 - 
       t[42]/12 + (21*t[43])/4 - (203*t[45])/24 + (149*t[47])/12 - t[48]/3 + 
       (23*t[49])/48 - (5*t[50])/3 - (23*t[51])/96 + (5*t[52])/3 - 
       (23*t[53])/48 - t[54]/8 + t[59]/12 + (91*t[60])/24 + (245*t[61])/12 + 
       (149*t[62])/24 + (71*t[63])/8 + (293*t[64])/24 - (367*t[65])/36 - 
       (761*t[66])/36 + t[72]/2 + t[74]/2 - t[77]/2 - 3*t[79] + 
       (23*t[80])/2 + t[81]/4 - t[82]/4 - (8*t[83])/3 + t[84]/4 + 
       (9*t[85])/8 - (47*t[86])/12 - (95*t[87])/24 - (95*t[88])/48 - 
       (55*t[89])/16 - 8*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]^4*
      ((5*t[1])/12 - t[3]/4 + (77*t[4])/6 - (319*t[5])/24 - (181*t[6])/48 - 
       9*t[7] - (17*t[8])/2 + (17*t[9])/4 + (11*t[10])/3 - (521*t[11])/48 + 
       (115*t[12])/24 - (149*t[13])/18 - (97*t[14])/48 - (209*t[15])/72 + 
       t[31]/6 - t[35]/3 - t[37]/3 - (61*t[43])/24 + t[46]/3 - 
       (25*t[48])/48 - (5*t[49])/12 - t[50]/48 - t[51]/24 + t[52]/48 + 
       (5*t[53])/12 - (31*t[54])/48 - (11*t[59])/12 - (33*t[60])/8 - 
       (91*t[61])/4 + (1567*t[62])/48 + (171*t[63])/16 - (1847*t[64])/48 - 
       (113*t[65])/12 + (287*t[66])/9 + (2*t[69])/3 - t[70]/3 + t[71]/4 + 
       (2*t[74])/3 - (7*t[79])/2 + (2*t[80])/3 + t[81]/12 - t[82]/12 - 
       (2*t[83])/3 - (11*t[84])/12 + (29*t[85])/24 - 29*t[86] - (3*t[87])/8 - 
       (3*t[88])/16 - (29*t[89])/16 + 3*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^4*(-t[2] + 6*t[3] + t[4]/24 + (167*t[5])/12 + 3*t[6] - 
       (401*t[7])/24 - (229*t[8])/24 - (551*t[9])/24 + (745*t[10])/48 - 
       (485*t[11])/24 - (475*t[12])/48 - (323*t[13])/72 - (171*t[14])/32 + 
       (107*t[15])/12 + t[18]/4 + (4*t[23])/3 + (4*t[24])/3 + (4*t[31])/3 - 
       t[35]/3 - t[37]/3 - (3*t[41])/8 + (7*t[42])/6 + 2*t[43] - 
       (55*t[45])/12 - (43*t[47])/6 - t[48]/4 + (13*t[49])/48 - (7*t[50])/4 - 
       (13*t[51])/96 + (7*t[52])/4 - (13*t[53])/48 - t[54]/8 - 
       (11*t[59])/12 - (33*t[60])/8 - (91*t[61])/4 + (1567*t[62])/48 + 
       (171*t[63])/16 - (1847*t[64])/48 - (113*t[65])/12 + (287*t[66])/9 + 
       (2*t[69])/3 - t[70]/3 + t[71]/4 + (2*t[74])/3 - (7*t[79])/2 + 
       (2*t[80])/3 + t[81]/12 - t[82]/12 - (2*t[83])/3 - (11*t[84])/12 + 
       (29*t[85])/24 - 29*t[86] - (3*t[87])/8 - (3*t[88])/16 - 
       (29*t[89])/16 + 3*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((-3*t[1])/2 + 14*t[2] + (45*t[3])/8 + (75*t[4])/4 - 
       (565*t[5])/16 - (119*t[6])/4 + (167*t[7])/8 - (729*t[8])/8 + 
       (873*t[9])/16 - (281*t[10])/4 + (9*t[11])/2 + (455*t[12])/16 - 
       (5203*t[13])/144 - (379*t[14])/24 - (4865*t[15])/288 - 2*t[18] + 
       2*t[19] - 12*t[20] - 8*t[21] - 10*t[22] + 6*t[23] - 8*t[24] + 
       2*t[25] + 3*t[26] - 2*t[27] - 10*t[28] + 3*t[29] - 2*t[30] - 4*t[31] + 
       7*t[32] - 14*t[33] + 6*t[34] + 8*t[35] - 2*t[36] - 4*t[37] - 8*t[38] + 
       7*t[39] - 12*t[40] + (3*t[41])/2 - (3*t[42])/2 + (69*t[43])/4 + 
       (3*t[44])/2 - (107*t[45])/4 + (3*t[46])/2 + (45*t[47])/2 - 
       (51*t[48])/8 - (63*t[49])/8 + (173*t[50])/8 - (35*t[51])/16 - 
       (93*t[52])/8 + (79*t[53])/8 - (51*t[54])/8 + 7*t[59] - (173*t[60])/2 - 
       (421*t[61])/4 + (771*t[62])/8 + (621*t[63])/8 + (391*t[64])/8 - 
       (1127*t[65])/12 + (321*t[66])/4 + 4*t[70] - 4*t[71] - 2*t[72] - 
       4*t[73] + 6*t[74] - 4*t[75] + 9*t[76] - 4*t[77] - 17*t[78] + 4*t[79] + 
       37*t[80] - 7*t[81] + 13*t[82] + 20*t[83] - 33*t[84] - (35*t[85])/2 - 
       (67*t[86])/2 + (41*t[87])/2 + (45*t[88])/4 - (147*t[89])/4 + 4*t[95] + 
       6*t[96] + 4*t[97] + 48*t[98] - 60*t[99] + 5*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((3*t[1])/2 - (13*t[2])/2 + (217*t[3])/8 - (155*t[4])/4 + 
       (1885*t[5])/16 - (313*t[6])/8 - (335*t[7])/4 - 55*t[8] - 
       (3047*t[9])/16 + (351*t[10])/8 - (263*t[11])/4 - (1115*t[12])/16 - 
       (223*t[13])/12 - (1859*t[14])/24 + (10423*t[15])/288 - 2*t[18] - 
       2*t[19] + 6*t[20] - 4*t[22] + 2*t[24] - 2*t[25] - 4*t[26] + 2*t[27] + 
       2*t[28] + 2*t[30] + 4*t[31] - 8*t[32] + 10*t[33] - 10*t[34] + 
       4*t[36] + 4*t[37] + 6*t[38] - 9*t[39] + 12*t[40] + (5*t[41])/2 - 
       (7*t[42])/2 + (183*t[43])/8 + 3*t[44] + (5*t[45])/2 - (7*t[46])/2 - 
       32*t[47] - (41*t[48])/8 + (217*t[49])/8 - (169*t[50])/8 - 
       (89*t[51])/16 + (57*t[52])/8 - (145*t[53])/8 + (3*t[54])/8 - 3*t[58] + 
       7*t[59] - (173*t[60])/2 - (421*t[61])/4 + (771*t[62])/8 + 
       (621*t[63])/8 + (391*t[64])/8 - (1127*t[65])/12 + (321*t[66])/4 + 
       4*t[70] - 4*t[71] - 2*t[72] - 4*t[73] + 6*t[74] - 4*t[75] + 9*t[76] - 
       4*t[77] - 17*t[78] + 4*t[79] + 37*t[80] - 7*t[81] + 13*t[82] + 
       20*t[83] - 33*t[84] - (35*t[85])/2 - (67*t[86])/2 + (41*t[87])/2 + 
       (45*t[88])/4 - (147*t[89])/4 + 4*t[95] + 6*t[96] + 4*t[97] + 
       48*t[98] - 60*t[99] + 5*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      (-t[1]/2 - 3*t[2] + (131*t[3])/8 - (61*t[4])/4 + (671*t[5])/16 - 
       25*t[6] - (351*t[7])/8 - (595*t[8])/8 - (759*t[9])/16 + 34*t[10] - 
       (121*t[11])/2 - (549*t[12])/16 - (3733*t[13])/144 - (671*t[14])/24 + 
       (3035*t[15])/288 - 2*t[18] - 2*t[21] + 6*t[22] + 2*t[23] - 2*t[24] - 
       4*t[25] + 2*t[27] - 2*t[29] - 4*t[30] + 2*t[31] - 4*t[32] + 4*t[33] - 
       2*t[36] + t[38] - 4*t[39] + 7*t[40] - (7*t[41])/2 + (5*t[42])/2 + 
       4*t[43] + 5*t[44] + (15*t[45])/4 + t[46]/2 - (43*t[47])/2 - 
       (111*t[48])/8 + (57*t[49])/8 - (39*t[50])/8 - (55*t[51])/16 - 
       (9*t[52])/8 - (57*t[53])/8 - (27*t[54])/8 - 3*t[58] + (3*t[59])/2 - 
       14*t[60] - (517*t[61])/4 + (745*t[62])/8 + (679*t[63])/8 - 
       (677*t[64])/8 - (551*t[65])/12 + (555*t[66])/4 - 2*t[69] + 6*t[70] - 
       6*t[71] - 4*t[73] + 4*t[74] + 4*t[75] + 14*t[76] + 6*t[77] - 
       11*t[78] + 7*t[80] + 3*t[81] + 13*t[82] - 4*t[83] - 5*t[84] + 
       26*t[85] - (91*t[86])/2 - 36*t[87] - 19*t[88] - (65*t[89])/2 + t[97] + 
       96*t[98] - 108*t[99] + 18*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (-7*t[1] + 14*t[2] + (33*t[3])/8 + (57*t[4])/4 - (379*t[5])/16 + 
       (37*t[6])/8 - 7*t[7] - (135*t[8])/4 + (533*t[9])/16 + (135*t[10])/8 - 
       (251*t[11])/4 + (89*t[12])/16 - (279*t[13])/8 - (29*t[14])/24 - 
       (3317*t[15])/288 - 2*t[18] - 2*t[21] - 4*t[22] + 2*t[23] - 2*t[24] - 
       2*t[25] + 2*t[26] + 4*t[27] + 2*t[29] + 2*t[30] + 4*t[32] - 6*t[33] + 
       17*t[34] - 2*t[36] - 5*t[38] + 6*t[39] - 12*t[40] + t[41] - 3*t[42] + 
       (9*t[43])/8 - t[44] - 19*t[45] - t[46]/2 + t[47] - (69*t[48])/8 + 
       (55*t[49])/8 + (75*t[50])/8 - (129*t[51])/16 + (29*t[52])/8 - 
       (55*t[53])/8 + (15*t[54])/8 - t[58] + (3*t[59])/2 - 14*t[60] - 
       (517*t[61])/4 + (745*t[62])/8 + (679*t[63])/8 - (677*t[64])/8 - 
       (551*t[65])/12 + (555*t[66])/4 - 2*t[69] + 6*t[70] - 6*t[71] - 
       4*t[73] + 4*t[74] + 4*t[75] + 14*t[76] + 6*t[77] - 11*t[78] + 
       7*t[80] + 3*t[81] + 13*t[82] - 4*t[83] - 5*t[84] + 26*t[85] - 
       (91*t[86])/2 - 36*t[87] - 19*t[88] - (65*t[89])/2 + t[97] + 96*t[98] - 
       108*t[99] + 18*t[100])*\[Zeta][3] + HPL[{0, 0, 1, 1}, 1 - v]*
      (19*t[1] - 7*t[2] + 24*t[3] + 3*t[4] + (13*t[5])/2 + (11*t[6])/2 + 
       21*t[7] - 45*t[8] + (21*t[9])/2 - (49*t[10])/2 - (11*t[11])/2 - 
       53*t[12] + (79*t[13])/18 - (139*t[14])/4 - (7*t[15])/12 - 12*t[26] - 
       4*t[32] + 8*t[33] - 10*t[34] + 14*t[38] - 8*t[39] + 10*t[40] + 
       2*t[41] - 2*t[42] + 4*t[44] + 4*t[47] - (5*t[48])/2 + (11*t[49])/2 + 
       (27*t[50])/2 + (21*t[51])/4 - (23*t[52])/2 - (11*t[53])/2 + 
       (11*t[54])/2 + t[59] - 28*t[60] - 33*t[61] + 59*t[62] + 13*t[63] + 
       11*t[64] + (40*t[65])/3 + (226*t[66])/3 - 4*t[76] - 2*t[77] + 
       4*t[78] + 16*t[80] - 12*t[81] - 18*t[82] - 8*t[85] + 8*t[86] - 
       8*t[87] - 4*t[88] - t[89] - 4*t[97] - 48*t[98] + 48*t[99] + 24*t[100])*
      \[Zeta][3] + HPL[{0, 0, 1, 1}, 1 - w]*(24*t[2] + 8*t[3] + 29*t[4] - 
       (3*t[5])/2 - (13*t[6])/2 - 21*t[7] + 21*t[8] - (71*t[9])/2 - 
       (83*t[10])/2 - (21*t[11])/2 - 19*t[12] - (485*t[13])/18 - 
       (47*t[14])/12 - (7*t[15])/12 + 4*t[26] + 4*t[32] - 8*t[33] + 6*t[34] - 
       2*t[38] + 8*t[39] - 6*t[40] + 5*t[41] - 5*t[42] + 2*t[43] - 4*t[44] + 
       4*t[45] + 12*t[46] + 8*t[47] + (29*t[48])/2 - (23*t[49])/2 - 
       (3*t[50])/2 - (33*t[51])/4 - (5*t[52])/2 - (25*t[53])/2 + 
       (21*t[54])/2 + 4*t[58] + t[59] - 28*t[60] - 33*t[61] + 59*t[62] + 
       13*t[63] + 11*t[64] + (40*t[65])/3 + (226*t[66])/3 - 4*t[76] - 
       2*t[77] + 4*t[78] + 16*t[80] - 12*t[81] - 18*t[82] - 8*t[85] + 
       8*t[86] - 8*t[87] - 4*t[88] - t[89] - 4*t[97] - 48*t[98] + 48*t[99] + 
       24*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      ((5*t[1])/12 - (101*t[2])/24 - t[3]/4 + (149*t[4])/24 + (11*t[5])/3 - 
       (29*t[6])/3 + (101*t[7])/16 - (489*t[8])/16 + (35*t[9])/48 - 
       (41*t[10])/48 + (29*t[11])/12 + (35*t[12])/8 - (1969*t[13])/216 + 
       (7*t[14])/72 - (103*t[15])/288 - t[18] - 2*t[21] + (4*t[23])/3 + 
       (5*t[24])/6 - t[31]/6 - 2*t[35] - 2*t[37] + (2*t[41])/3 + t[42]/12 + 
       (17*t[43])/48 - (11*t[45])/24 + (5*t[46])/4 - (13*t[47])/12 - 
       (7*t[48])/3 + (101*t[49])/24 + (13*t[50])/2 - (55*t[51])/24 - 
       (13*t[52])/2 - (101*t[53])/24 - (61*t[54])/12 - (7*t[59])/6 - 
       (25*t[60])/6 + (163*t[61])/12 + (265*t[62])/24 + (413*t[63])/8 - 
       (1211*t[64])/24 - (157*t[65])/18 + (367*t[66])/18 + 4*t[69] - 
       7*t[74] - 7*t[79] - 21*t[80] - 7*t[81] + 7*t[82] + (17*t[83])/3 - 
       (5*t[84])/2 - 6*t[85] - (347*t[86])/6 + (4*t[87])/3 + (2*t[88])/3 + 
       (13*t[89])/4 + 29*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((61*t[1])/12 - (3*t[2])/2 - (1141*t[3])/48 - 
       (167*t[4])/6 + (2227*t[5])/96 - (43*t[6])/16 + (1135*t[7])/16 + 
       (2617*t[8])/48 + (4613*t[9])/96 + (93*t[10])/16 + (6301*t[11])/48 + 
       (3089*t[12])/96 + (74879*t[13])/864 + (2767*t[14])/32 + 
       (2083*t[15])/192 + (20*t[18])/3 + (20*t[20])/3 + (32*t[21])/3 + 
       (4*t[22])/3 - (32*t[23])/3 + (25*t[24])/3 - t[25] - (13*t[26])/2 + 
       (10*t[27])/3 + 6*t[28] - (8*t[29])/3 + 4*t[30] + 8*t[31] - 
       (13*t[32])/3 + 9*t[33] + (67*t[34])/6 - 4*t[35] - 4*t[36] - 6*t[37] + 
       (20*t[38])/3 - 3*t[39] + 3*t[40] + (65*t[41])/12 - (25*t[42])/12 - 
       (13*t[43])/6 + (4*t[44])/3 + (77*t[45])/24 - (3*t[46])/2 + 
       (105*t[47])/4 - (75*t[48])/4 + (203*t[49])/24 - (31*t[50])/4 + 
       (175*t[51])/48 - (49*t[52])/12 - (203*t[53])/24 - 8*t[54] + 2*t[57] + 
       t[58]/6 - (73*t[59])/12 + (1273*t[60])/12 + (5153*t[61])/24 - 
       (9881*t[62])/48 - (1653*t[63])/16 - (353*t[64])/48 + (7049*t[65])/72 - 
       (19733*t[66])/72 - (46*t[70])/3 + (46*t[71])/3 + (31*t[72])/3 + 
       7*t[73] - 8*t[74] + 9*t[75] + (161*t[76])/6 + (23*t[77])/3 - 
       (17*t[78])/6 - 11*t[79] + (289*t[80])/6 + (46*t[81])/3 - 
       (41*t[82])/6 + (62*t[83])/3 + (10*t[84])/3 + (137*t[85])/6 + 
       (1199*t[86])/12 - (367*t[87])/6 - (367*t[88])/12 + (649*t[89])/24 + 
       (13*t[97])/6 + 132*t[98] - 116*t[99] + 33*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*((32*t[1])/3 + 10*t[2] - 
       (719*t[3])/48 + (20*t[4])/3 - (2081*t[5])/32 - (201*t[6])/8 + 
       (1037*t[7])/8 + (27*t[8])/4 + (17441*t[9])/96 - (925*t[10])/12 + 
       (1887*t[11])/16 + (4915*t[12])/96 + (13117*t[13])/432 + 
       (6149*t[14])/96 - (17375*t[15])/576 + 4*t[18] - 2*t[19] - 
       (2*t[20])/3 + (32*t[21])/3 - (16*t[22])/3 - (46*t[23])/3 + 7*t[24] - 
       (16*t[25])/3 + (11*t[26])/3 + 3*t[27] + 6*t[28] + (8*t[29])/3 + 
       6*t[30] + (5*t[31])/3 - (2*t[32])/3 + (83*t[34])/3 - 4*t[35] - 
       3*t[36] - 6*t[37] - t[38]/3 + 6*t[39] - (73*t[40])/6 + (11*t[41])/6 + 
       4*t[42] - (121*t[43])/48 - (2*t[44])/3 - (83*t[45])/3 + (41*t[46])/6 + 
       (325*t[47])/6 - (44*t[48])/3 - (43*t[49])/12 + (43*t[50])/3 - 
       (7*t[51])/2 - 10*t[52] + (43*t[53])/12 - (73*t[54])/3 + 2*t[57] + 
       (7*t[58])/3 - (73*t[59])/12 + (1273*t[60])/12 + (5153*t[61])/24 - 
       (9881*t[62])/48 - (1653*t[63])/16 - (353*t[64])/48 + (7049*t[65])/72 - 
       (19733*t[66])/72 - (46*t[70])/3 + (46*t[71])/3 + (31*t[72])/3 + 
       7*t[73] - 8*t[74] + 9*t[75] + (161*t[76])/6 + (23*t[77])/3 - 
       (17*t[78])/6 - 11*t[79] + (289*t[80])/6 + (46*t[81])/3 - 
       (41*t[82])/6 + (62*t[83])/3 + (10*t[84])/3 + (137*t[85])/6 + 
       (1199*t[86])/12 - (367*t[87])/6 - (367*t[88])/12 + (649*t[89])/24 + 
       (13*t[97])/6 + 132*t[98] - 116*t[99] + 33*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-9*t[1])/2 - (35*t[2])/6 - (7*t[3])/6 + (115*t[4])/4 - (71*t[5])/4 - 
       (137*t[6])/8 + (11*t[7])/12 - (45*t[8])/4 + (59*t[9])/12 + 
       (38*t[10])/3 - (349*t[11])/12 - (7*t[12])/4 + (5*t[13])/48 - 
       (833*t[14])/72 - (77*t[15])/8 - 2*t[21] + 2*t[23] - 4*t[31] - 
       t[41]/6 + t[42]/6 - (29*t[43])/6 + (85*t[45])/6 - (7*t[46])/3 - 
       (73*t[47])/3 - (5*t[48])/2 + (95*t[49])/12 + (43*t[50])/6 - 
       (53*t[51])/24 - (43*t[52])/6 - (95*t[53])/12 - (10*t[54])/3 - t[59] - 
       (25*t[60])/3 - 95*t[61] + (17*t[62])/3 - (37*t[63])/3 - (5*t[64])/2 - 
       (455*t[65])/18 + (139*t[66])/6 + 4*t[69] - (28*t[74])/3 + 12*t[79] - 
       (121*t[80])/3 - (10*t[81])/3 + (10*t[82])/3 + (34*t[83])/3 - 
       (11*t[84])/3 - (16*t[85])/3 + (74*t[86])/3 + (26*t[87])/3 + 
       (13*t[88])/3 + (19*t[89])/2 + 34*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*((-7*t[1])/6 + (169*t[2])/12 + 
       (145*t[3])/8 + (103*t[4])/6 - (977*t[5])/48 - (299*t[6])/12 - 
       (339*t[7])/8 - (1841*t[8])/24 + (121*t[9])/16 + (61*t[10])/3 - 
       (41*t[11])/4 + (1727*t[12])/48 - (5339*t[13])/432 + (13*t[14])/72 - 
       (853*t[15])/96 - (10*t[18])/3 + 2*t[19] + (16*t[20])/3 + (2*t[21])/3 + 
       (5*t[22])/3 - (2*t[23])/3 - (4*t[24])/3 - (13*t[25])/3 + 
       (25*t[26])/6 + 2*t[27] + 6*t[28] + (2*t[29])/3 - 4*t[30] + 
       (31*t[31])/3 - (8*t[32])/3 + 4*t[33] - (10*t[34])/3 - 4*t[35] - 
       4*t[36] - 6*t[37] - t[38]/3 + 2*t[39] + (23*t[40])/6 - (4*t[41])/3 - 
       t[42]/3 - (101*t[43])/12 + (4*t[44])/3 + (5*t[45])/12 + (13*t[46])/3 + 
       7*t[47] - (509*t[48])/24 - (221*t[49])/24 - (173*t[50])/24 + 
       (35*t[51])/16 + (229*t[52])/24 + (221*t[53])/24 - (301*t[54])/24 - 
       (7*t[58])/6 - (31*t[59])/12 - (25*t[60])/6 + (4*t[61])/3 + 
       (1277*t[62])/24 + (237*t[63])/8 - (3739*t[64])/24 - (1847*t[65])/36 + 
       (1055*t[66])/36 - 2*t[69] + (8*t[70])/3 - (8*t[71])/3 + (37*t[72])/3 - 
       t[73] + 4*t[74] + 17*t[75] + (13*t[76])/3 + (20*t[77])/3 - 
       (11*t[78])/6 - 15*t[79] + (62*t[80])/3 + (17*t[81])/6 - (11*t[82])/6 + 
       (23*t[83])/3 - (11*t[84])/3 + (49*t[85])/3 - (497*t[86])/6 - 
       (62*t[87])/3 - (31*t[88])/3 - (523*t[89])/12 + (7*t[97])/6 + 
       12*t[98] - 44*t[99] + 36*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*((-49*t[1])/12 + (143*t[2])/12 + 
       (83*t[3])/8 - (11*t[4])/6 + (1429*t[5])/48 + (619*t[6])/24 - 
       (103*t[7])/4 + (35*t[8])/3 - (745*t[9])/48 + (1697*t[10])/24 - 
       (199*t[11])/6 - (623*t[12])/48 - (601*t[13])/216 + (221*t[14])/18 + 
       (2719*t[15])/96 - (2*t[18])/3 - (4*t[20])/3 + (2*t[21])/3 - 
       (5*t[22])/3 + (5*t[23])/3 + (14*t[24])/3 + (3*t[26])/2 + (7*t[27])/3 + 
       6*t[28] + (10*t[29])/3 + 2*t[30] - (2*t[31])/3 + (5*t[32])/3 - t[33] + 
       (25*t[34])/6 - 4*t[35] - 3*t[36] - 6*t[37] - (13*t[38])/3 + 7*t[39] - 
       10*t[40] - (23*t[41])/12 + (17*t[42])/4 + (121*t[43])/24 + 
       (10*t[44])/3 - 12*t[45] + 2*t[46] - (64*t[47])/3 - (11*t[48])/24 + 
       (143*t[49])/24 + (13*t[50])/24 - (359*t[51])/48 + (93*t[52])/8 - 
       (143*t[53])/24 - (415*t[54])/24 + t[58]/6 - (31*t[59])/12 - 
       (25*t[60])/6 + (4*t[61])/3 + (1277*t[62])/24 + (237*t[63])/8 - 
       (3739*t[64])/24 - (1847*t[65])/36 + (1055*t[66])/36 - 2*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 + (37*t[72])/3 - t[73] + 4*t[74] + 
       17*t[75] + (13*t[76])/3 + (20*t[77])/3 - (11*t[78])/6 - 15*t[79] + 
       (62*t[80])/3 + (17*t[81])/6 - (11*t[82])/6 + (23*t[83])/3 - 
       (11*t[84])/3 + (49*t[85])/3 - (497*t[86])/6 - (62*t[87])/3 - 
       (31*t[88])/3 - (523*t[89])/12 + (7*t[97])/6 + 12*t[98] - 44*t[99] + 
       36*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*(t[1]/4 - (7*t[2])/3 + (49*t[3])/12 + (55*t[4])/4 + 
       t[5] - (11*t[6])/2 - (283*t[7])/12 - (7*t[8])/2 - (361*t[9])/12 + 
       (97*t[10])/24 - (100*t[11])/3 - (99*t[12])/8 - (137*t[13])/24 - 
       (4513*t[14])/144 - (13*t[15])/12 + t[26]/2 - t[31] - (9*t[34])/2 + 
       t[38] - t[40]/2 + (7*t[41])/12 - (7*t[42])/12 + (11*t[43])/12 + 
       (77*t[45])/12 + t[46]/6 - (49*t[47])/3 + 4*t[48] - (59*t[49])/24 + 
       (5*t[50])/3 + (65*t[51])/48 - (7*t[52])/6 + (59*t[53])/24 + 
       (5*t[54])/12 + t[58]/2 - (5*t[59])/2 - (70*t[60])/3 - 94*t[61] + 
       (779*t[62])/12 - (685*t[63])/12 + (17*t[64])/2 - (73*t[65])/9 + 
       59*t[66] + (2*t[74])/3 - 7*t[76] - t[77] + 4*t[78] + 6*t[79] - 
       (46*t[80])/3 - (16*t[81])/3 + (4*t[82])/3 + (16*t[83])/3 - 
       (13*t[84])/6 - (31*t[85])/3 - (64*t[86])/3 + (83*t[87])/3 + 
       (83*t[88])/6 + 18*t[89] - t[97] - 48*t[98] + 48*t[99] + 40*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-3*t[1] + 18*t[2] - (33*t[3])/2 - (25*t[4])/2 + (337*t[5])/4 + 
       (53*t[6])/4 - 5*t[7] + 7*t[8] + (41*t[9])/4 + (181*t[10])/4 - 
       (87*t[11])/4 - (37*t[12])/2 + (43*t[13])/36 + (267*t[14])/8 + 
       (3121*t[15])/72 - 2*t[19] + 8*t[20] + 8*t[21] - 4*t[23] + 6*t[27] + 
       14*t[28] - 4*t[29] - 6*t[30] + 6*t[31] + 2*t[32] + 6*t[33] + 2*t[34] - 
       12*t[35] - 6*t[36] - 2*t[37] + 6*t[39] - 6*t[40] + 2*t[42] + 
       (15*t[43])/2 + 4*t[44] + 5*t[46] - 18*t[47] - (37*t[48])/4 + 
       (35*t[49])/4 + (35*t[50])/4 - (45*t[51])/8 - (19*t[52])/4 - 
       (35*t[53])/4 - (113*t[54])/4 - 6*t[59] + 20*t[60] - 79*t[61] + 
       189*t[62] - 51*t[63] - (397*t[64])/2 - (115*t[65])/2 + (87*t[66])/2 - 
       2*t[69] - 4*t[70] + 4*t[71] + 12*t[73] + 6*t[74] + 28*t[75] + 
       14*t[76] + 8*t[77] + 6*t[78] - 4*t[79] + 20*t[80] - 7*t[81] + 
       13*t[82] - 25*t[83] - (9*t[84])/2 + 5*t[85] - 130*t[86] - 36*t[87] - 
       17*t[88] - 27*t[89] + 80*t[98] - 64*t[99] + 58*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*(12*t[1] + (5*t[2])/2 + 
       (79*t[3])/2 + (147*t[4])/2 - (39*t[5])/4 - (61*t[6])/4 - 
       (139*t[7])/2 - (191*t[8])/2 - (93*t[9])/4 - (93*t[10])/4 - 
       (127*t[11])/4 - (41*t[12])/2 - (86*t[13])/9 - (1135*t[14])/24 - 
       (261*t[15])/8 + 2*t[21] - 2*t[23] + 2*t[24] - 8*t[25] + 2*t[27] + 
       6*t[28] + 4*t[30] + 6*t[31] - 4*t[32] + 4*t[33] - 8*t[35] - 8*t[36] - 
       2*t[37] + 6*t[38] - 3*t[41] + 3*t[42] - 9*t[43] - 6*t[44] - 11*t[45] + 
       t[46] + 10*t[47] - (51*t[48])/4 + (31*t[49])/4 + (17*t[50])/4 - 
       (29*t[51])/8 - (17*t[52])/4 - (39*t[53])/4 - (79*t[54])/4 - 6*t[59] + 
       20*t[60] - 79*t[61] + 189*t[62] - 51*t[63] - (397*t[64])/2 - 
       (115*t[65])/2 + (87*t[66])/2 - 2*t[69] - 4*t[70] + 4*t[71] + 
       12*t[73] + 6*t[74] + 28*t[75] + 14*t[76] + 8*t[77] + 6*t[78] - 
       4*t[79] + 20*t[80] - 7*t[81] + 13*t[82] - 25*t[83] - (9*t[84])/2 + 
       5*t[85] - 130*t[86] - 36*t[87] - 17*t[88] - 27*t[89] + 80*t[98] - 
       64*t[99] + 58*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((-29*t[1])/6 - (55*t[2])/2 - (129*t[3])/8 - 
       (223*t[4])/4 - (683*t[5])/48 + (83*t[6])/24 + (106*t[7])/3 + 
       (121*t[8])/4 + (497*t[9])/48 + (479*t[10])/24 - (89*t[11])/4 + 
       (2249*t[12])/48 - (227*t[13])/12 - (1997*t[14])/72 - 
       (3935*t[15])/288 - (4*t[18])/3 - 2*t[20] - (22*t[21])/3 + 2*t[22] + 
       8*t[23] - (16*t[24])/3 - (2*t[25])/3 + (25*t[26])/3 + (2*t[27])/3 - 
       12*t[28] - 8*t[31] + (10*t[32])/3 - 8*t[33] + (29*t[34])/3 + 8*t[35] + 
       4*t[36] + 12*t[37] - 6*t[38] - 4*t[39] - t[40]/3 - t[41]/2 - t[42]/6 - 
       (93*t[43])/8 - (5*t[44])/3 + (43*t[45])/6 - (41*t[46])/6 + 10*t[47] + 
       (31*t[48])/24 - (241*t[49])/24 + (263*t[50])/24 + (191*t[51])/48 - 
       (143*t[52])/24 + (241*t[53])/24 + (419*t[54])/24 - (7*t[59])/3 - 
       (262*t[60])/3 - (1295*t[61])/12 - (2809*t[62])/24 + (927*t[63])/8 + 
       (2015*t[64])/8 + (2783*t[65])/36 + (4225*t[66])/36 + 4*t[69] + 
       (2*t[70])/3 - (2*t[71])/3 - 20*t[72] - 12*t[73] - 22*t[74] - 
       20*t[75] - (32*t[76])/3 - (23*t[77])/3 - (28*t[78])/3 + 26*t[79] - 
       (110*t[80])/3 - (23*t[81])/3 + 23*t[82] - (71*t[83])/3 - 
       (58*t[84])/3 - (65*t[85])/6 + (491*t[86])/6 + (127*t[87])/2 + 
       (127*t[88])/4 + (67*t[89])/3 - 48*t[98] + 28*t[99] + 83*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-29*t[1])/6 - (77*t[2])/2 + (225*t[3])/8 - (69*t[4])/4 + 
       (691*t[5])/48 - (211*t[6])/6 - (457*t[7])/24 - (75*t[8])/8 - 
       (2947*t[9])/48 + (167*t[10])/6 - (253*t[11])/4 - (397*t[12])/48 - 
       (2135*t[13])/48 - (3169*t[14])/36 - (3277*t[15])/96 + (14*t[18])/3 - 
       10*t[20] - (10*t[21])/3 + 2*t[22] + 4*t[23] + (2*t[24])/3 - 
       (2*t[25])/3 - (11*t[26])/3 + (2*t[27])/3 - 12*t[28] - 4*t[29] - 
       8*t[30] - 12*t[31] - (2*t[32])/3 - 4*t[33] - (31*t[34])/3 + 8*t[35] + 
       4*t[36] + 12*t[37] + 2*t[38] - 8*t[39] + (29*t[40])/3 - (7*t[41])/2 + 
       (23*t[42])/6 - (35*t[43])/4 + (7*t[44])/3 + (197*t[45])/12 - 
       (53*t[46])/6 + (23*t[47])/2 + (511*t[48])/24 + (359*t[49])/24 - 
       (385*t[50])/24 + (119*t[51])/48 - (47*t[52])/24 - (359*t[53])/24 + 
       (539*t[54])/24 - (7*t[59])/3 - (262*t[60])/3 - (1295*t[61])/12 - 
       (2809*t[62])/24 + (927*t[63])/8 + (2015*t[64])/8 + (2783*t[65])/36 + 
       (4225*t[66])/36 + 4*t[69] + (2*t[70])/3 - (2*t[71])/3 - 20*t[72] - 
       12*t[73] - 22*t[74] - 20*t[75] - (32*t[76])/3 - (23*t[77])/3 - 
       (28*t[78])/3 + 26*t[79] - (110*t[80])/3 - (23*t[81])/3 + 23*t[82] - 
       (71*t[83])/3 - (58*t[84])/3 - (65*t[85])/6 + (491*t[86])/6 + 
       (127*t[87])/2 + (127*t[88])/4 + (67*t[89])/3 - 48*t[98] + 28*t[99] + 
       83*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (14*t[1] - (65*t[2])/2 + 65*t[3] - (43*t[4])/2 + (139*t[5])/4 - 
       (113*t[6])/4 - 95*t[7] + 3*t[8] - (581*t[9])/4 + (121*t[10])/4 - 
       (323*t[11])/4 - 55*t[12] - (544*t[13])/9 - (1333*t[14])/8 - 
       (2159*t[15])/72 - 4*t[19] - 16*t[20] - 10*t[21] + 12*t[22] + 
       10*t[23] - 6*t[24] + 4*t[25] - 14*t[26] + 2*t[27] - 16*t[28] + 
       12*t[29] + 2*t[30] - 18*t[31] - 4*t[32] - 4*t[33] - 26*t[34] + 
       12*t[35] + 8*t[36] + 12*t[37] + 12*t[38] - 12*t[39] + 14*t[40] - 
       (11*t[43])/2 - 6*t[44] + 27*t[45] - 9*t[46] - 10*t[47] + 
       (149*t[48])/4 + (23*t[49])/4 - (55*t[50])/4 + (55*t[51])/8 + 
       (15*t[52])/4 - (23*t[53])/4 + (69*t[54])/4 + 4*t[57] + 2*t[58] - 
       2*t[59] - 198*t[60] - 264*t[61] + 55*t[62] - 27*t[63] + 339*t[64] + 
       (135*t[65])/2 + (535*t[66])/2 + 6*t[69] - 24*t[72] - 4*t[73] + 
       2*t[74] - 36*t[75] - 42*t[76] - 8*t[77] + 4*t[78] + 20*t[79] - 
       68*t[80] - 37*t[81] + 15*t[82] - 11*t[83] - (61*t[84])/2 - 57*t[85] + 
       20*t[86] + 148*t[87] + 74*t[88] + (111*t[89])/2 - 4*t[97] - 
       200*t[98] + 184*t[99] + 266*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(-2*t[1] - (21*t[2])/2 + 
       (43*t[3])/2 - (163*t[4])/2 + (203*t[5])/4 + (11*t[6])/4 - 52*t[7] + 
       38*t[8] - (595*t[9])/4 - (125*t[10])/4 - (389*t[11])/4 + 4*t[12] - 
       (2215*t[13])/36 - (3323*t[14])/24 - (247*t[15])/72 + 4*t[19] - 
       4*t[21] + 4*t[22] + 4*t[23] - 8*t[25] + 14*t[26] + 2*t[27] - 
       16*t[28] - 4*t[29] + 4*t[31] + 12*t[32] - 12*t[33] - 18*t[34] + 
       12*t[35] + 8*t[36] + 12*t[37] - 4*t[39] - 2*t[40] + 2*t[41] - 
       2*t[42] - (11*t[43])/2 - 4*t[44] + 5*t[45] + 8*t[46] + 4*t[47] + 
       (61*t[48])/4 - (155*t[49])/4 + (21*t[50])/4 + (131*t[51])/8 - 
       (29*t[52])/4 + (147*t[53])/4 + (141*t[54])/4 + 4*t[57] + 2*t[58] - 
       2*t[59] - 198*t[60] - 264*t[61] + 55*t[62] - 27*t[63] + 339*t[64] + 
       (135*t[65])/2 + (535*t[66])/2 + 6*t[69] - 24*t[72] - 4*t[73] + 
       2*t[74] - 36*t[75] - 42*t[76] - 8*t[77] + 4*t[78] + 20*t[79] - 
       68*t[80] - 37*t[81] + 15*t[82] - 11*t[83] - (61*t[84])/2 - 57*t[85] + 
       20*t[86] + 148*t[87] + 74*t[88] + (111*t[89])/2 - 4*t[97] - 
       200*t[98] + 184*t[99] + 266*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-16*t[1])/3 + (148*t[2])/3 - 
       (214*t[3])/3 - 58*t[4] - (283*t[5])/6 + (199*t[6])/3 + (709*t[7])/6 + 
       (97*t[8])/2 + 174*t[9] + (410*t[10])/3 + (557*t[11])/6 + 
       (535*t[12])/6 + (1013*t[13])/18 + (399*t[14])/2 + (1205*t[15])/36 - 
       (28*t[18])/3 + 4*t[19] + 16*t[20] + (14*t[21])/3 + 8*t[22] - 4*t[23] + 
       (2*t[24])/3 - (20*t[25])/3 + (52*t[26])/3 + (2*t[27])/3 + 16*t[28] - 
       12*t[29] - 2*t[30] + 18*t[31] - (8*t[32])/3 + 2*t[33] + (29*t[34])/3 - 
       12*t[35] - 8*t[36] - 12*t[37] - 5*t[38] + 14*t[39] - (25*t[40])/3 + 
       (26*t[41])/3 - (34*t[42])/3 - (37*t[43])/6 + (22*t[44])/3 + 16*t[45] + 
       11*t[46] - (41*t[47])/3 - (112*t[48])/3 - (161*t[49])/6 + 
       (47*t[50])/3 - (3*t[51])/2 + (10*t[52])/3 + (197*t[53])/6 + 
       (14*t[54])/3 - 4*t[57] - 4*t[58] + (73*t[59])/6 + 106*t[60] + 
       (1228*t[61])/3 - (1927*t[62])/12 + (535*t[63])/12 - (751*t[64])/2 - 
       (140*t[65])/3 - (5239*t[66])/18 - 6*t[69] + (32*t[70])/3 - 
       (32*t[71])/3 + 24*t[72] + 4*t[73] - (14*t[74])/3 + 36*t[75] + 
       (52*t[76])/3 + (94*t[77])/3 + (2*t[78])/3 - 20*t[79] - (100*t[80])/3 + 
       (59*t[81])/3 - (103*t[82])/3 + 11*t[83] + (133*t[84])/3 + 
       (87*t[85])/2 - (244*t[86])/3 - (403*t[87])/6 - (403*t[88])/12 - 
       (151*t[89])/6 - 3*t[97] + 40*t[98] - 40*t[99] - 138*t[100] - 
       36*t[101])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-11*t[1])/6 + (91*t[2])/3 + (181*t[3])/6 + 77*t[4] - (509*t[5])/12 - 
       (131*t[6])/12 + (92*t[7])/3 - 60*t[8] + (251*t[9])/4 + (259*t[10])/6 + 
       (1279*t[11])/12 - (283*t[12])/12 + (517*t[13])/12 + (1001*t[14])/12 - 
       (43*t[15])/8 - (4*t[18])/3 - 4*t[19] - (4*t[21])/3 - 10*t[22] - 
       (16*t[24])/3 + (16*t[25])/3 - (26*t[26])/3 + (2*t[27])/3 + 16*t[28] + 
       4*t[29] - 4*t[31] - (8*t[32])/3 + 2*t[33] - (25*t[34])/3 - 12*t[35] - 
       8*t[36] - 12*t[37] - 7*t[38] + 14*t[39] - (16*t[40])/3 - 
       (23*t[41])/6 + (19*t[42])/6 - (25*t[43])/6 + (16*t[44])/3 + 36*t[45] - 
       10*t[46] - (173*t[47])/3 + (125*t[48])/12 + (193*t[49])/6 - 
       (43*t[50])/12 - (53*t[51])/4 + (31*t[52])/12 - (145*t[53])/6 - 
       (613*t[54])/12 - 4*t[57] + 2*t[58] + (73*t[59])/6 + 106*t[60] + 
       (1228*t[61])/3 - (1927*t[62])/12 + (535*t[63])/12 - (751*t[64])/2 - 
       (140*t[65])/3 - (5239*t[66])/18 - 6*t[69] + (32*t[70])/3 - 
       (32*t[71])/3 + 24*t[72] + 4*t[73] - (14*t[74])/3 + 36*t[75] + 
       (52*t[76])/3 + (94*t[77])/3 + (2*t[78])/3 - 20*t[79] - (100*t[80])/3 + 
       (59*t[81])/3 - (103*t[82])/3 + 11*t[83] + (133*t[84])/3 + 
       (87*t[85])/2 - (244*t[86])/3 - (403*t[87])/6 - (403*t[88])/12 - 
       (151*t[89])/6 - 3*t[97] + 40*t[98] - 40*t[99] - 138*t[100] - 
       36*t[101])*\[Zeta][3] + HPL[{0, 1}, 1 - v]^2*
      ((-61*t[1])/12 - (74*t[2])/3 + (1177*t[3])/24 - 90*t[4] + 
       (2575*t[5])/48 - (287*t[6])/4 - (231*t[7])/8 - (1453*t[8])/24 - 
       (1175*t[9])/48 + (2903*t[10])/24 - (823*t[11])/12 + (1001*t[12])/48 - 
       (12763*t[13])/432 - (2071*t[14])/48 + (149*t[15])/288 + (5*t[18])/3 - 
       (44*t[20])/3 - (4*t[21])/3 + (62*t[22])/3 + (4*t[23])/3 + 
       (8*t[24])/3 - (22*t[25])/3 + (37*t[26])/6 + 4*t[27] + (5*t[29])/3 - 
       2*t[30] + (16*t[31])/3 - (35*t[32])/3 - 7*t[33] - (65*t[34])/6 - 
       2*t[36] + 4*t[37] + (2*t[38])/3 + 3*t[39] + (89*t[40])/6 - 
       (97*t[41])/12 + (83*t[42])/12 - (157*t[43])/12 + (53*t[44])/6 + 
       (209*t[45])/12 + (5*t[46])/6 + (41*t[47])/2 - (461*t[48])/24 + 
       (15*t[49])/2 - (143*t[50])/8 + (7*t[51])/3 - (31*t[52])/24 + 
       (9*t[53])/2 - (407*t[54])/24 - t[58]/6 - 6*t[59] - (1675*t[60])/12 - 
       (373*t[61])/3 - (497*t[62])/8 + (633*t[63])/8 + (125*t[64])/4 + 
       (3575*t[65])/36 + (673*t[66])/9 - (34*t[70])/3 + (34*t[71])/3 - 
       (62*t[72])/3 - 10*t[73] - 14*t[74] + 10*t[75] + (179*t[76])/6 + 
       (47*t[77])/3 - (94*t[78])/3 - (34*t[80])/3 + (29*t[81])/6 + 
       (35*t[82])/3 - (38*t[83])/3 - (271*t[84])/6 + (82*t[85])/3 + 
       (5*t[86])/6 + (119*t[87])/3 - (109*t[88])/6 - (137*t[89])/24 + 
       8*t[95] + 8*t[96] - (10*t[97])/3 + 140*t[98] - 192*t[99] + 
       366*t[100] - 6*t[101])*\[Zeta][3] + HPL[{0, 1}, 1 - w]^2*
      ((47*t[1])/12 - 3*t[2] + (1109*t[3])/24 - (105*t[4])/4 - 
       (1213*t[5])/48 - (449*t[6])/24 + 63*t[7] - (425*t[8])/4 + 
       (3095*t[9])/48 + (321*t[10])/8 - (141*t[11])/4 + (2215*t[12])/48 - 
       (1207*t[13])/108 - (4525*t[14])/72 - (3175*t[15])/96 + (2*t[18])/3 - 
       (4*t[20])/3 + (2*t[21])/3 - (2*t[22])/3 - (2*t[23])/3 + (10*t[24])/3 - 
       12*t[25] + 8*t[26] + (22*t[27])/3 + (13*t[29])/3 + 10*t[30] + 
       4*t[31] - (4*t[32])/3 - 7*t[33] + (169*t[34])/6 + 4*t[37] + 
       (5*t[38])/3 + 3*t[39] - (45*t[40])/2 + (5*t[41])/12 - t[42]/12 - 
       (461*t[43])/24 + (29*t[44])/6 - (109*t[45])/6 - (7*t[46])/2 + 
       24*t[47] - (221*t[48])/8 + (115*t[49])/24 + (809*t[50])/24 - 
       (151*t[51])/48 - (229*t[52])/24 + (77*t[53])/24 - (547*t[54])/24 + 
       (8*t[58])/3 - 6*t[59] - (1675*t[60])/12 - (373*t[61])/3 - 
       (497*t[62])/8 + (633*t[63])/8 + (125*t[64])/4 + (3575*t[65])/36 + 
       (673*t[66])/9 - (34*t[70])/3 + (34*t[71])/3 - (62*t[72])/3 - 
       10*t[73] - 14*t[74] + 10*t[75] + (179*t[76])/6 + (47*t[77])/3 - 
       (94*t[78])/3 - (34*t[80])/3 + (29*t[81])/6 + (35*t[82])/3 - 
       (38*t[83])/3 - (271*t[84])/6 + (82*t[85])/3 + (5*t[86])/6 + 
       (119*t[87])/3 - (109*t[88])/6 - (137*t[89])/24 + 8*t[95] + 8*t[96] - 
       (10*t[97])/3 + 140*t[98] - 192*t[99] + 366*t[100] - 6*t[101])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      (8*t[1] - (35*t[2])/2 + (197*t[3])/4 - (9*t[4])/2 + 26*t[5] - 
       (247*t[6])/4 - (33*t[7])/4 - (483*t[8])/4 - (253*t[9])/4 + 
       (33*t[10])/2 - (15*t[11])/2 - (5*t[12])/4 - (269*t[13])/72 - 
       (1451*t[14])/24 - (395*t[15])/18 + 4*t[18] + 4*t[21] + 2*t[22] - 
       4*t[23] + 4*t[24] - 12*t[25] + 5*t[26] + 2*t[27] - t[29] + 8*t[30] + 
       16*t[31] - 17*t[32] + 8*t[33] + 6*t[34] + 2*t[36] + 6*t[37] + 
       12*t[38] - 15*t[39] + 14*t[40] + 3*t[41] - t[42] - (15*t[43])/4 - 
       (3*t[44])/2 - (9*t[45])/2 - 5*t[46] + 19*t[47] - (55*t[48])/2 + 
       (117*t[49])/4 + (21*t[50])/2 - (105*t[51])/8 - (41*t[52])/2 - 
       (129*t[53])/4 - (27*t[54])/2 - t[58] - 9*t[59] - (283*t[60])/2 - 
       75*t[61] - (57*t[62])/4 + (241*t[63])/4 + (201*t[64])/2 + 
       (111*t[65])/2 - (5*t[66])/3 + 4*t[69] - 16*t[70] + 18*t[71] - 
       44*t[72] - 8*t[74] + 3*t[76] - 2*t[77] + 2*t[78] - 22*t[80] - t[81] - 
       2*t[82] - (103*t[84])/2 - (19*t[85])/2 + 54*t[86] + (109*t[87])/2 - 
       (35*t[88])/4 + (21*t[89])/4 + 8*t[95] + 8*t[96] - 2*t[97] + 24*t[98] + 
       312*t[100] + 24*t[101])*\[Zeta][3] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*(6*t[1] - (51*t[2])/2 + 32*t[3] - (69*t[4])/2 - 
       (63*t[5])/4 - (201*t[6])/4 + (331*t[7])/4 - (127*t[8])/4 + 
       (163*t[9])/2 - t[10]/4 - 3*t[11] - (19*t[12])/4 - (4043*t[13])/72 - 
       (781*t[14])/24 - (121*t[15])/36 + 4*t[18] - 6*t[19] - 20*t[20] - 
       2*t[21] + 6*t[22] + 8*t[23] - 2*t[24] + 2*t[26] + 2*t[27] + 4*t[29] + 
       4*t[30] - t[32] - 8*t[33] - 18*t[34] + 2*t[36] + 6*t[37] + t[39] - 
       7*t[41] + 9*t[42] - (19*t[43])/4 + 9*t[44] + (11*t[45])/2 + t[46] + 
       5*t[47] + (19*t[48])/2 + 17*t[49] + (55*t[50])/2 - (43*t[51])/8 - 
       (71*t[52])/2 - 6*t[53] - 34*t[54] + 2*t[58] - 9*t[59] - 
       (283*t[60])/2 - 75*t[61] - (57*t[62])/4 + (241*t[63])/4 + 
       (201*t[64])/2 + (111*t[65])/2 - (5*t[66])/3 + 4*t[69] - 16*t[70] + 
       18*t[71] - 44*t[72] - 8*t[74] + 3*t[76] - 2*t[77] + 2*t[78] - 
       22*t[80] - t[81] - 2*t[82] - (103*t[84])/2 - (19*t[85])/2 + 54*t[86] + 
       (109*t[87])/2 - (35*t[88])/4 + (21*t[89])/4 + 8*t[95] + 8*t[96] - 
       2*t[97] + 24*t[98] + 312*t[100] + 24*t[101])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((73*t[1])/3 - (187*t[2])/6 - 
       (241*t[3])/2 + t[4] - (157*t[5])/2 - (16*t[6])/3 + 262*t[7] + 
       (607*t[8])/3 + (503*t[9])/2 - (329*t[10])/12 + (4685*t[11])/12 + 
       (671*t[12])/4 + (36347*t[13])/216 + (15977*t[14])/72 - (296*t[15])/9 + 
       (52*t[18])/3 + 4*t[20] + (52*t[21])/3 - 24*t[22] - (40*t[23])/3 + 
       18*t[24] + (2*t[25])/3 + (14*t[26])/3 + (22*t[27])/3 - 6*t[29] - 
       8*t[30] - (20*t[31])/3 + 10*t[32] + 18*t[33] + (94*t[34])/3 - 
       10*t[36] - 8*t[37] + (10*t[38])/3 - 10*t[39] + (22*t[40])/3 + 
       (37*t[41])/3 - (11*t[42])/3 - (50*t[43])/3 - (13*t[44])/3 - 
       (2*t[46])/3 + 88*t[47] + (29*t[48])/12 - (331*t[49])/12 - 
       (83*t[50])/12 + (179*t[51])/8 - (277*t[52])/12 + (67*t[53])/12 - 
       (13*t[54])/4 + 6*t[58] + 8*t[59] + (1411*t[60])/3 + (2242*t[61])/3 - 
       (1495*t[62])/2 - (785*t[63])/2 + (49*t[64])/2 + (3157*t[65])/9 - 
       (7387*t[66])/9 + 8*t[69] - (80*t[70])/3 + (80*t[71])/3 + 
       (140*t[72])/3 - 4*t[73] - 32*t[74] + 4*t[75] - (52*t[76])/3 + 
       (22*t[77])/3 + (124*t[78])/3 + (316*t[80])/3 + (74*t[81])/3 + 
       (46*t[82])/3 + (116*t[83])/3 + (140*t[84])/3 + (17*t[85])/3 + 
       (608*t[86])/3 - (389*t[87])/3 + (67*t[88])/6 + (857*t[89])/6 - 
       16*t[95] - 16*t[96] + (40*t[97])/3 - 200*t[98] + 192*t[99] + 
       24*t[100] + 36*t[101])*\[Zeta][3] + HPL[{1}, 1 - u]^2*
      ((8*t[4])/3 - 4*t[5] + (2*t[6])/3 + (4*t[9])/3 - (2*t[10])/3 + 
       (14*t[11])/3 + (2*t[12])/3 - (4*t[13])/3 - (5*t[14])/3 - (8*t[15])/3 - 
       (8*t[24])/3 - (8*t[25])/3 + (8*t[26])/3 + (8*t[27])/3 - (8*t[33])/3 + 
       (8*t[39])/3 - (2*t[48])/3 + (2*t[49])/3 - (2*t[50])/3 + t[51]/3 + 
       (2*t[52])/3 - (2*t[53])/3 - (2*t[54])/3 + (8*t[60])/3 + (8*t[61])/3 - 
       (4*t[62])/3 + (4*t[63])/3 + (4*t[64])/3 - (32*t[65])/9 - 
       (64*t[66])/9 + (16*t[82])/3 + (8*t[85])/3 - (8*t[87])/3 - 
       (4*t[88])/3 - (4*t[89])/3)*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(-10*t[1] + 16*t[2] - 65*t[3] + 
       (313*t[4])/2 - (35*t[5])/2 + (265*t[6])/2 - (137*t[7])/4 + 
       (55*t[8])/4 + (149*t[9])/4 - (33*t[10])/2 + (233*t[11])/4 - 
       (281*t[12])/4 + (273*t[13])/8 + (1339*t[14])/8 + (817*t[15])/24 + 
       4*t[16] - 2*t[17] - 4*t[18] + 32*t[20] - 4*t[21] - 16*t[22] + 
       6*t[25] - 4*t[26] - 10*t[27] + 24*t[28] + 32*t[31] - 8*t[33] + 
       12*t[34] + 8*t[36] - 4*t[38] + 8*t[39] - 12*t[41] + 10*t[42] + 
       (35*t[43])/4 - 2*t[44] + (13*t[45])/2 - 5*t[46] - 21*t[47] - 
       (19*t[48])/4 + (73*t[49])/4 - (11*t[50])/4 - (39*t[51])/8 + 
       (63*t[52])/4 - (73*t[53])/4 - (47*t[54])/4 - 2*t[56] + 8*t[57] - 
       16*t[59] + 305*t[60] + 280*t[61] + 201*t[62] + 42*t[63] - 521*t[64] - 
       (497*t[65])/3 - (295*t[66])/3 - 12*t[68] + 8*t[70] - 8*t[71] + 
       80*t[72] + 12*t[74] - 8*t[76] - 2*t[77] + 8*t[78] - 96*t[79] - 
       24*t[80] + 14*t[81] - 26*t[82] - 40*t[83] + 80*t[84] + 75*t[85] - 
       362*t[86] - 171*t[87] - (171*t[88])/2 + (109*t[89])/2 + 4*t[90] - 
       2*t[92] + 8*t[93] + 4*t[94] - 48*t[98] + 72*t[99] - 152*t[100])*
      \[Zeta][2]*\[Zeta][3] + HPL[{0, 1}, 1 - u]*(t[1] + 17*t[2] + 14*t[3] - 
       (65*t[4])/6 + (39*t[5])/2 - (199*t[6])/12 - 9*t[7] + 23*t[8] - 
       (199*t[9])/6 + (37*t[10])/12 - (205*t[11])/12 - (283*t[12])/12 - 
       (214*t[13])/9 - (167*t[14])/24 + (3*t[15])/2 + (10*t[24])/3 - 
       (20*t[25])/3 + (14*t[26])/3 + (20*t[27])/3 - (14*t[33])/3 + 2*t[38] + 
       (14*t[39])/3 - t[41] + t[42] - t[43] - 2*t[44] + 2*t[45] + 5*t[46] - 
       4*t[47] + (73*t[48])/12 - t[49]/12 + t[50]/12 - (85*t[51])/24 - 
       t[52]/12 + t[53]/12 + (25*t[54])/12 - 4*t[59] - (109*t[60])/3 - 
       (169*t[61])/3 + (79*t[62])/6 - (151*t[63])/6 + (53*t[64])/6 - 
       (158*t[65])/9 + (518*t[66])/9 + 20*t[74] + 4*t[78] - 8*t[80] - 
       10*t[81] + (82*t[82])/3 - 4*t[84] - (37*t[85])/3 - 24*t[86] + 
       (49*t[87])/3 + (49*t[88])/6 + (31*t[89])/6 + 24*t[99] + 48*t[100])*
      \[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      (t[1] + 17*t[2] + 14*t[3] - (31*t[4])/2 + (51*t[5])/2 - (69*t[6])/4 - 
       9*t[7] + 23*t[8] - (69*t[9])/2 + (15*t[10])/4 - (95*t[11])/4 - 
       (97*t[12])/4 - (172*t[13])/9 - (47*t[14])/24 + (15*t[15])/2 + 
       10*t[24] - 2*t[26] + 2*t[33] + 2*t[38] - 2*t[39] - t[41] + t[42] - 
       t[43] - 2*t[44] + 2*t[45] + 5*t[46] - 4*t[47] + (27*t[48])/4 - 
       (3*t[49])/4 + (3*t[50])/4 - (31*t[51])/8 - (3*t[52])/4 + (3*t[53])/4 + 
       (11*t[54])/4 - 4*t[59] - 35*t[60] - 59*t[61] + (25*t[62])/2 - 
       (49*t[63])/2 + (15*t[64])/2 - 14*t[65] + (178*t[66])/3 + 20*t[74] + 
       4*t[78] - 8*t[80] - 10*t[81] + 10*t[82] - 4*t[84] - 11*t[85] - 
       24*t[86] + 15*t[87] + (15*t[88])/2 + (13*t[89])/2 + 24*t[99] + 
       48*t[100])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (t[1] + 19*t[2] + 12*t[3] - (31*t[4])/2 + (39*t[5])/2 - (61*t[6])/4 - 
       5*t[7] + 5*t[8] - (33*t[9])/2 + (15*t[10])/4 - (87*t[11])/4 - 
       (81*t[12])/4 - (160*t[13])/9 + (49*t[14])/24 + (17*t[15])/2 + 
       10*t[24] - 2*t[26] + 2*t[33] + 2*t[38] - 2*t[39] - t[41] + t[42] - 
       t[43] - 2*t[44] + 2*t[45] + 5*t[46] - 4*t[47] + (11*t[48])/4 - 
       (11*t[49])/4 + (3*t[50])/4 - (15*t[51])/8 - (3*t[52])/4 + 
       (11*t[53])/4 + (11*t[54])/4 - 4*t[59] - 35*t[60] - 59*t[61] + 
       (25*t[62])/2 - (49*t[63])/2 + (15*t[64])/2 - 14*t[65] + 
       (178*t[66])/3 + 20*t[74] + 4*t[78] - 8*t[80] - 10*t[81] + 10*t[82] - 
       4*t[84] - 11*t[85] - 24*t[86] + 15*t[87] + (15*t[88])/2 + 
       (13*t[89])/2 + 24*t[99] + 48*t[100])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*((9*t[1])/2 + (19*t[2])/2 + (101*t[3])/2 - 
       (865*t[4])/12 + (63*t[5])/4 - (521*t[6])/6 - (15*t[7])/8 + 
       (153*t[8])/8 - (1327*t[9])/24 + (71*t[10])/6 - (1301*t[11])/24 + 
       (49*t[12])/24 - (7693*t[13])/144 - (1585*t[14])/16 - (1153*t[15])/48 - 
       2*t[16] + t[17] + 2*t[18] - 16*t[20] + 2*t[21] + 8*t[22] - 2*t[23] + 
       (16*t[24])/3 - (23*t[25])/3 + (14*t[26])/3 + (29*t[27])/3 - 12*t[28] - 
       16*t[31] + (4*t[33])/3 - 6*t[34] - 4*t[36] + 4*t[38] - (4*t[39])/3 + 
       (7*t[41])/2 - (5*t[42])/2 - (39*t[43])/8 - t[44] - (9*t[45])/4 + 
       (15*t[46])/2 + (65*t[47])/2 + (275*t[48])/24 - (185*t[49])/24 + 
       (59*t[50])/24 - (17*t[51])/48 - (107*t[52])/24 + (185*t[53])/24 + 
       (95*t[54])/24 + t[56] - 4*t[57] - 4*t[59] - (1073*t[60])/6 - 
       (1373*t[61])/6 - (205*t[62])/3 - (505*t[63])/6 + (2935*t[64])/12 + 
       (1175*t[65])/18 + (2473*t[66])/18 - t[67] + 5*t[68] - 4*t[70] + 
       4*t[71] - 40*t[72] + 12*t[74] + 4*t[76] + 48*t[79] + 4*t[80] - 
       17*t[81] + (109*t[82])/3 + 20*t[83] - 43*t[84] - (311*t[85])/6 + 
       157*t[86] + (611*t[87])/6 + (611*t[88])/12 - (40*t[89])/3 - t[90] + 
       t[92] - 4*t[93] + 24*t[98] - 12*t[99] + 124*t[100])*\[Zeta][2]*
      \[Zeta][3] + HPL[{1}, 1 - v]^2*((21*t[1])/2 + (31*t[2])/2 + 
       (77*t[3])/2 - (1075*t[4])/12 + (77*t[5])/2 - (425*t[6])/6 + 
       (121*t[7])/8 - (147*t[8])/8 - (769*t[9])/24 + (253*t[10])/12 - 
       (1637*t[11])/24 + (25*t[12])/24 - (6445*t[13])/144 - (1411*t[14])/16 - 
       (133*t[15])/16 - 2*t[16] + 2*t[18] - 16*t[20] + 2*t[21] + 8*t[22] - 
       2*t[23] - (8*t[24])/3 - (47*t[25])/3 + (38*t[26])/3 + (53*t[27])/3 - 
       12*t[28] - 16*t[31] - (26*t[33])/3 + 2*t[34] - 4*t[36] + 6*t[38] + 
       (26*t[39])/3 - t[41]/2 + (3*t[42])/2 - (47*t[43])/8 - t[44] - 
       (9*t[45])/4 + (13*t[46])/2 + (17*t[47])/2 + (35*t[48])/24 - 
       (395*t[49])/24 + (155*t[50])/24 + (181*t[51])/48 - (395*t[52])/24 + 
       (395*t[53])/24 + (179*t[54])/24 + t[56] - 4*t[57] - 4*t[59] - 
       (1073*t[60])/6 - (1373*t[61])/6 - (205*t[62])/3 - (505*t[63])/6 + 
       (2935*t[64])/12 + (1175*t[65])/18 + (2473*t[66])/18 - t[67] + 
       5*t[68] - 4*t[70] + 4*t[71] - 40*t[72] + 12*t[74] + 4*t[76] + 
       48*t[79] + 4*t[80] - 17*t[81] + (109*t[82])/3 + 20*t[83] - 43*t[84] - 
       (311*t[85])/6 + 157*t[86] + (611*t[87])/6 + (611*t[88])/12 - 
       (40*t[89])/3 - t[90] + t[92] - 4*t[93] + 24*t[98] - 12*t[99] + 
       124*t[100])*\[Zeta][2]*\[Zeta][3] + HPL[{0, 1}, 1 - v]*
      (30*t[1] + t[2] + 52*t[3] - (79*t[4])/3 + 57*t[5] + (32*t[6])/3 + 
       20*t[7] - 59*t[8] - (14*t[9])/3 + (53*t[10])/6 - (142*t[11])/3 - 
       (689*t[12])/6 - (142*t[13])/9 + (185*t[14])/12 + (145*t[15])/6 - 
       4*t[16] - (8*t[24])/3 - (56*t[25])/3 - (16*t[26])/3 + (68*t[27])/3 - 
       8*t[32] - (8*t[33])/3 - 20*t[34] - 8*t[36] + 22*t[38] + (8*t[39])/3 + 
       8*t[40] - 4*t[41] + 4*t[42] - 2*t[43] - 2*t[45] - 10*t[46] + 2*t[47] - 
       (14*t[48])/3 + (169*t[49])/6 + (46*t[50])/3 + (61*t[51])/12 - 
       (34*t[52])/3 + (47*t[53])/6 + (49*t[54])/3 - 4*t[55] - (130*t[60])/3 - 
       (97*t[61])/3 + (38*t[62])/3 + (28*t[63])/3 + (83*t[64])/6 - 
       (470*t[65])/9 + (392*t[66])/9 + 2*t[67] + 2*t[68] + 44*t[74] + 
       8*t[76] + 20*t[77] + 16*t[80] - 20*t[81] + (4*t[82])/3 - 6*t[84] - 
       (10*t[85])/3 - 40*t[86] + (22*t[87])/3 + (11*t[88])/3 + (49*t[89])/6 - 
       2*t[90] + 4*t[92] - 4*t[94] + 48*t[98] + 72*t[100] - 24*t[101])*
      \[Zeta][2]*\[Zeta][3] + HPL[{0, 1}, 1 - w]*(-18*t[1] + 79*t[2] - 
       24*t[3] - (28*t[4])/3 - (37*t[5])/2 - (181*t[6])/3 - 2*t[7] + 
       10*t[8] - (43*t[9])/6 - (62*t[10])/3 - (133*t[11])/3 + (97*t[12])/6 - 
       (748*t[13])/9 + (185*t[14])/6 - (283*t[15])/12 + 4*t[16] + 2*t[17] + 
       (16*t[24])/3 - (56*t[25])/3 + (104*t[26])/3 + (44*t[27])/3 + 
       16*t[32] - (92*t[33])/3 + 4*t[34] + 8*t[36] - 14*t[38] + 
       (92*t[39])/3 - 16*t[40] + 8*t[41] - 8*t[42] - 8*t[44] - 2*t[45] + 
       32*t[46] + 50*t[47] + (25*t[48])/3 - (136*t[49])/3 - (47*t[50])/3 - 
       (41*t[51])/3 - (13*t[52])/3 + (28*t[53])/3 + (19*t[54])/3 + 4*t[55] - 
       (130*t[60])/3 - (97*t[61])/3 + (38*t[62])/3 + (28*t[63])/3 + 
       (83*t[64])/6 - (470*t[65])/9 + (392*t[66])/9 + 2*t[67] + 2*t[68] + 
       44*t[74] + 8*t[76] + 20*t[77] + 16*t[80] - 20*t[81] + (4*t[82])/3 - 
       6*t[84] - (10*t[85])/3 - 40*t[86] + (22*t[87])/3 + (11*t[88])/3 + 
       (49*t[89])/6 - 2*t[90] + 4*t[92] - 4*t[94] + 48*t[98] + 72*t[100] - 
       24*t[101])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - v]*
      (2*t[1] - (45*t[2])/2 + 9*t[3] - 35*t[4] + (119*t[5])/4 + (15*t[6])/4 + 
       43*t[7] - 24*t[8] + (43*t[9])/4 + (21*t[10])/2 - (27*t[11])/4 - 
       (149*t[12])/4 - (163*t[13])/6 + t[14] + (653*t[15])/24 - 2*t[16] + 
       t[17] + 2*t[25] - 10*t[26] - 4*t[32] + 10*t[33] - 20*t[34] - 4*t[36] + 
       4*t[38] - 10*t[39] + 4*t[40] + 2*t[41] - 2*t[42] + 2*t[43] + 4*t[44] + 
       36*t[45] - 7*t[46] - 56*t[47] + (55*t[48])/4 + (19*t[49])/2 + 
       (87*t[50])/4 + 8*t[51] - (7*t[52])/4 + (21*t[53])/2 - (131*t[54])/4 - 
       2*t[55])*\[Zeta][3]^2 + HPL[{1}, 1 - w]*(-2*t[1] + (45*t[2])/2 - 
       9*t[3] + 35*t[4] - (119*t[5])/4 - (15*t[6])/4 - 43*t[7] + 24*t[8] - 
       (43*t[9])/4 - (21*t[10])/2 + (27*t[11])/4 + (149*t[12])/4 + 
       (163*t[13])/6 - t[14] - (653*t[15])/24 + 2*t[16] - t[17] - 2*t[25] + 
       10*t[26] + 4*t[32] - 10*t[33] + 20*t[34] + 4*t[36] - 4*t[38] + 
       10*t[39] - 4*t[40] - 2*t[41] + 2*t[42] - 2*t[43] - 4*t[44] - 
       36*t[45] + 7*t[46] + 56*t[47] - (55*t[48])/4 - (19*t[49])/2 - 
       (87*t[50])/4 - 8*t[51] + (7*t[52])/4 - (21*t[53])/2 + (131*t[54])/4 + 
       2*t[55])*\[Zeta][3]^2 + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (26*t[1] - 12*t[2] + (155*t[3])/2 - (991*t[4])/4 + (65*t[5])/4 - 
       (937*t[6])/4 + (643*t[7])/8 - (97*t[8])/8 - (255*t[9])/8 + 
       (651*t[10])/4 - (739*t[11])/8 + (951*t[12])/8 - (989*t[13])/48 - 
       (10735*t[14])/48 - (739*t[15])/48 - 2*t[16] + t[17] - 10*t[18] - 
       32*t[20] - 2*t[21] + 16*t[22] + 8*t[23] - 2*t[24] + 3*t[25] - 
       2*t[26] - t[27] - 4*t[28] - 92*t[31] + 6*t[33] - 18*t[34] - 4*t[36] - 
       2*t[38] - 6*t[39] + 8*t[40] + 21*t[41] - 18*t[42] - (153*t[43])/8 - 
       t[44] + (9*t[45])/4 - t[46]/2 - (17*t[47])/2 + (329*t[48])/8 - 
       (311*t[49])/8 + (289*t[50])/8 + (337*t[51])/16 - (333*t[52])/8 + 
       (311*t[53])/8 + (357*t[54])/8 + t[56] + 70*t[59] - (827*t[60])/2 - 
       344*t[61] - (717*t[62])/2 - 181*t[63] + (1233*t[64])/2 + 
       (1775*t[65])/6 + (833*t[66])/6 + 6*t[68] + 32*t[69] + 4*t[70] + 
       12*t[71] - 32*t[72] - 2*t[74] - 4*t[76] - 9*t[77] + 4*t[78] + 
       248*t[79] - 8*t[80] - 5*t[81] + 3*t[82] + 12*t[83] - 30*t[84] - 
       (393*t[85])/2 + 487*t[86] + (497*t[87])/2 + (497*t[88])/4 + 
       (17*t[89])/4 - 2*t[90] + t[92] - 4*t[93] - 2*t[94] - 24*t[98] + 
       36*t[99] - 44*t[100])*\[Zeta][5] + HPL[{1}, 1 - w]^2*
      ((7*t[1])/4 + (27*t[2])/4 - (125*t[3])/4 + (675*t[4])/8 + 
       (273*t[5])/8 + (889*t[6])/8 - (127*t[7])/16 + (237*t[8])/16 - 
       (105*t[9])/16 - (815*t[10])/8 + (1275*t[11])/16 - (1139*t[12])/16 + 
       (5249*t[13])/96 + (10915*t[14])/96 + (2815*t[15])/96 + t[16] - 
       t[17]/2 + 5*t[18] + 16*t[20] + t[21] - 8*t[22] - t[23] + t[24] - 
       (3*t[25])/2 + t[26] + t[27]/2 + 2*t[28] + 46*t[31] - 4*t[32] - 
       3*t[33] + 9*t[34] + 2*t[36] + t[38] + 3*t[39] - (45*t[41])/4 + 
       (55*t[42])/4 + (153*t[43])/16 + t[44]/2 - (249*t[45])/8 + t[46]/4 - 
       (63*t[47])/4 - (313*t[48])/16 + (307*t[49])/16 - (273*t[50])/16 - 
       (317*t[51])/32 + (257*t[52])/16 - (307*t[53])/16 - (381*t[54])/16 - 
       t[56]/2 - (55*t[59])/2 + (759*t[60])/4 + (815*t[61])/4 + 
       (579*t[62])/4 + (213*t[63])/2 - (2271*t[64])/8 - (509*t[65])/4 - 
       (635*t[66])/4 + t[67]/2 - (5*t[68])/2 - 16*t[69] - 2*t[70] - 2*t[71] + 
       16*t[72] + 2*t[74] + 2*t[76] + 4*t[77] - 2*t[78] - 124*t[79] + 
       4*t[80] + (5*t[81])/2 - (3*t[82])/2 - 6*t[83] + (33*t[84])/2 + 
       (389*t[85])/4 - (487*t[86])/2 - (505*t[87])/4 - (505*t[88])/8 + 
       (51*t[89])/2 + t[90]/2 - t[92]/2 + 2*t[93] + 12*t[98] - 18*t[99] + 
       22*t[100])*\[Zeta][5] + HPL[{1}, 1 - v]^2*((-27*t[1])/4 + 
       (49*t[2])/4 - (89*t[3])/4 + (929*t[4])/8 - (133*t[5])/4 + 
       (597*t[6])/8 - (287*t[7])/16 - (671*t[8])/16 + (837*t[9])/16 - 
       109*t[10] + (1307*t[11])/16 - (435*t[12])/16 + (475*t[13])/32 + 
       (3507*t[14])/32 - (1355*t[15])/96 + t[16] + 5*t[18] + 16*t[20] + 
       t[21] - 8*t[22] - 5*t[23] + t[24] - (3*t[25])/2 + t[26] + t[27]/2 + 
       2*t[28] + 46*t[31] - 2*t[33] + t[34] + 2*t[36] + 2*t[38] + 2*t[39] - 
       4*t[40] + (9*t[41])/4 + t[42]/4 + (153*t[43])/16 + t[44]/2 - 
       (9*t[45])/8 + (3*t[46])/4 + (17*t[47])/4 - (329*t[48])/16 + 
       (297*t[49])/16 - (305*t[50])/16 - (319*t[51])/32 + (417*t[52])/16 - 
       (297*t[53])/16 - (345*t[54])/16 - t[56]/2 - (55*t[59])/2 + 
       (759*t[60])/4 + (815*t[61])/4 + (579*t[62])/4 + (213*t[63])/2 - 
       (2271*t[64])/8 - (509*t[65])/4 - (635*t[66])/4 + t[67]/2 - 
       (5*t[68])/2 - 16*t[69] - 2*t[70] - 2*t[71] + 16*t[72] + 2*t[74] + 
       2*t[76] + 4*t[77] - 2*t[78] - 124*t[79] + 4*t[80] + (5*t[81])/2 - 
       (3*t[82])/2 - 6*t[83] + (33*t[84])/2 + (389*t[85])/4 - (487*t[86])/2 - 
       (505*t[87])/4 - (505*t[88])/8 + (51*t[89])/2 + t[90]/2 - t[92]/2 + 
       2*t[93] + 12*t[98] - 18*t[99] + 22*t[100])*\[Zeta][5] + 
     HPL[{0, 1}, 1 - w]*(36*t[1] - (217*t[2])/2 + 158*t[3] - (27*t[4])/2 + 
       (871*t[5])/4 + (29*t[6])/4 - 183*t[7] - 39*t[8] - (1153*t[9])/4 + 
       (97*t[10])/4 - (113*t[11])/4 - (311*t[12])/2 + (1363*t[13])/9 - 
       (1669*t[14])/8 + (237*t[15])/8 - 2*t[16] - t[17] - 8*t[23] + 2*t[25] - 
       62*t[26] - 54*t[32] + 56*t[33] + 8*t[34] - 4*t[36] + 37*t[38] - 
       56*t[39] + 46*t[40] - 18*t[41] + 18*t[42] - 61*t[45] - 61*t[46] - 
       39*t[47] - (23*t[48])/4 + (315*t[49])/4 - (23*t[50])/4 + 
       (75*t[51])/8 + (55*t[52])/4 - (219*t[53])/4 + (137*t[54])/4 - 
       2*t[55] - 19*t[59] - 144*t[60] - (777*t[61])/2 + (303*t[62])/2 + 
       (171*t[63])/2 + (401*t[64])/4 - (35*t[65])/3 + (622*t[66])/3 - t[67] - 
       t[68] - 8*t[71] - 2*t[74] + 4*t[76] - 36*t[77] - 4*t[78] + 8*t[80] + 
       120*t[82] - t[84] + 2*t[87] + t[88] - (345*t[89])/4 + t[90] - 
       2*t[92] + 2*t[94] + 24*t[98] - 24*t[99] - 12*t[100] - 12*t[101])*
      \[Zeta][5] + HPL[{0, 1}, 1 - v]*(-71*t[1] + (195*t[2])/2 - 22*t[3] - 
       57*t[4] - 102*t[5] - (509*t[6])/4 + 51*t[7] - (127*t[8])/2 + 
       (319*t[9])/2 - (287*t[10])/2 - (315*t[11])/4 + 219*t[12] - 
       (1499*t[13])/9 - (1063*t[14])/12 - (409*t[15])/12 + 2*t[16] - 
       2*t[25] + 62*t[26] + 50*t[32] - 62*t[33] + 8*t[34] + 4*t[36] - 
       37*t[38] + 62*t[39] - 58*t[40] + 7*t[41] - 7*t[42] - t[45] + 
       60*t[46] + t[47] + (19*t[48])/4 - 76*t[49] + (27*t[50])/4 - 11*t[51] + 
       (5*t[52])/4 + 52*t[53] - (139*t[54])/4 + 2*t[55] - 19*t[59] - 
       144*t[60] - (777*t[61])/2 + (303*t[62])/2 + (171*t[63])/2 + 
       (401*t[64])/4 - (35*t[65])/3 + (622*t[66])/3 - t[67] - t[68] - 
       8*t[71] - 2*t[74] + 4*t[76] - 36*t[77] - 4*t[78] + 8*t[80] + 
       120*t[82] - t[84] + 2*t[87] + t[88] - (345*t[89])/4 + t[90] - 
       2*t[92] + 2*t[94] + 24*t[98] - 24*t[99] - 12*t[100] - 12*t[101])*
      \[Zeta][5]
 
TuvwCoproductEntriet[u] = -(B4[v, w, u]*HPL[{1}, 1 - w]*t[8]) - 
     B2[u, w, v]*HPL[{1}, 1 - v]*t[11] - B1[w, u, v]*HPL[{1}, 1 - v]*t[14] + 
     B11[v, w, u]*HPL[{1}, 1 - w]*(-t[2] + 3*t[3] - (7*t[15])/6) + 
     B2[v, w, u]*HPL[{1}, 1 - w]*(-t[3] + t[15]/6) + 
     B3[w, u, v]*HPL[{1}, 1 - w]*(-t[2] + t[15]/3) + 
     (B2[v, u, w]*HPL[{1}, 1 - w]*t[15])/3 - 
     (HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - v]*t[15])/36 + 
     (2*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - w]*t[15])/3 - 
     (2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - u]*t[15])/3 + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*(45*t[2] - (65*t[15])/3 - 
       15*t[59]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (4*t[2] - 4*t[59]) + HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - w]*
      (t[2]/12 + t[15]/36 - t[59]/12) - 
     (HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - v]*t[59])/12 + 
     4*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v]*t[59] - 
     4*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*t[59] - 
     15*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*t[59] + 
     16*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*t[59] + 
     20*HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - w]*t[59] - 
     32*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - v]*t[59] - 
     32*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - w]*t[59] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (-12*t[2] + 4*t[15] + 4*t[59]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*(-15*t[2] + 5*t[15] + 16*t[59]) + 
     HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - v]*(-80*t[2] + 80*t[3] + 20*t[15] + 
       20*t[59]) - B1[v, w, u]*HPL[{1}, 1 - v]*t[61] - 
     B1[w, v, u]*HPL[{1}, 1 - w]*t[61] - B4[v, w, u]*HPL[{1}, 1 - v]*t[63] - 
     B4[w, u, v]*HPL[{1}, 1 - w]*t[63] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*
      HPL[{1}, 1 - w]*(-t[11]/8 + t[14]/12 - t[60]/8 + t[61]/8 - t[65]/24) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*
      (t[2]/12 - t[3]/8 + t[15]/144 - t[60]/8 + t[61]/8 - t[65]/24) + 
     B2[w, v, u]*HPL[{1}, 1 - w]*(-t[60] + t[65]/3) + 
     B2[v, w, u]*HPL[{1}, 1 - v]*(-t[14]/3 - t[60] + t[65]/3) + 
     B3[v, w, u]*HPL[{1}, 1 - w]*(-t[12] + (2*t[65])/3) + 
     B3[w, u, v]*HPL[{1}, 1 - v]*((-2*t[14])/3 + (2*t[65])/3) - 
     (2*B2[v, u, w]*HPL[{1}, 1 - v]*t[65])/3 - 
     (2*B2[w, u, v]*HPL[{1}, 1 - w]*t[65])/3 + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*((35*t[1])/2 + 24*t[2] + (21*t[3])/4 + 
       (161*t[4])/4 - 11*t[5] - (175*t[6])/8 + 35*t[7] + (13*t[8])/2 + 
       (23*t[9])/4 + (211*t[10])/8 + (391*t[11])/8 + (7*t[12])/8 + 
       (38*t[13])/3 - (569*t[14])/48 + (53*t[15])/24 - 4*t[17] + 9*t[18] - 
       13*t[19] + t[21] - 11*t[23] + 5*t[24] - 25*t[31] - (7*t[41])/2 + 
       (7*t[42])/2 - (13*t[43])/2 - 17*t[45] - 2*t[46] + 32*t[47] + 
       (151*t[48])/8 + (73*t[49])/8 + (151*t[50])/8 - (49*t[51])/16 - 
       (151*t[52])/8 - (73*t[53])/8 - (69*t[54])/8 + 16*t[59] - 8*t[61] + 
       24*t[64] + (32*t[65])/3 - (256*t[66])/3 + 4*t[77]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*((-3*t[1])/2 - 16*t[2] - 
       (21*t[3])/4 - (161*t[4])/4 + 11*t[5] - (305*t[6])/8 - 35*t[7] - 
       (13*t[8])/2 - (23*t[9])/4 - (403*t[10])/8 - (7*t[11])/8 - 
       (71*t[12])/8 + 46*t[13] + (19*t[14])/16 - (181*t[15])/24 + 4*t[17] - 
       9*t[18] + 13*t[19] - t[21] + 11*t[23] - 5*t[24] + 25*t[31] + 
       (15*t[41])/2 - (15*t[42])/2 + (21*t[43])/2 + 17*t[45] + 2*t[46] - 
       32*t[47] - (151*t[48])/8 - (73*t[49])/8 - (151*t[50])/8 + 
       (49*t[51])/16 + (151*t[52])/8 + (73*t[53])/8 + (69*t[54])/8 + 
       16*t[59] - 8*t[61] + 24*t[64] + (32*t[65])/3 - (256*t[66])/3 + 
       4*t[77]) + 2*B9[u, v, w]*HPL[{1}, 1 - v]*t[83] + 
     2*B9[u, v, w]*HPL[{1}, 1 - w]*t[83] + HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 1, 1}, 1 - v]*(t[65]/3 + t[83]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - w]*(t[65]/3 + t[83]) + 
     B11[w, u, v]*HPL[{1}, 1 - w]*(-t[12] + 3*t[60] - t[65] + 2*t[83]) + 
     B11[v, w, u]*HPL[{1}, 1 - v]*((2*t[14])/3 + 3*t[60] - t[65] + 2*t[83]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      ((-32*t[65])/3 + 8*t[83]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*((-8*t[65])/3 + 8*t[83]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      ((-8*t[65])/3 + 8*t[83]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[v, u, w]*
      ((32*t[3])/3 - 8*t[5] + 16*t[6] - (16*t[7])/3 + (112*t[8])/3 + 
       (88*t[9])/3 - 16*t[10] + 8*t[12] + (32*t[13])/9 - (8*t[14])/3 - 
       (292*t[15])/27 + (64*t[28])/3 + (64*t[29])/3 - (64*t[30])/3 + 
       (64*t[31])/3 + (128*t[35])/3 - (128*t[44])/3 + (16*t[48])/3 - 
       16*t[50] + 16*t[52] + 16*t[54] + 32*t[60] - (64*t[61])/3 - 
       (64*t[62])/3 - 128*t[63] + (128*t[64])/3 + (256*t[65])/9 - 
       (448*t[66])/9 + (64*t[72])/3 + (64*t[73])/3 + 64*t[75] - 
       (64*t[79])/3 - (128*t[83])/3 + (32*t[84])/3 + (32*t[85])/3 + 
       64*t[86] - (160*t[87])/3 - (80*t[88])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*((16*t[13])/9 + 8*t[59] + 
       (8*t[62])/3 - (8*t[63])/3 + (8*t[64])/3 + (16*t[65])/9 - 
       (32*t[66])/9 - (40*t[88])/3) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*((-116*t[2])/3 + (136*t[3])/3 + 
       (8*t[13])/9 + 8*t[15] + 8*t[59] + (8*t[62])/3 - (8*t[63])/3 + 
       (8*t[64])/3 + (16*t[65])/9 - (32*t[66])/9 - (40*t[88])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      (t[3] - (3*t[5])/4 + (3*t[6])/2 - t[7]/2 + (7*t[8])/2 + (11*t[9])/4 - 
       (3*t[10])/2 + (3*t[12])/4 + t[13]/3 - t[14]/4 - (89*t[15])/72 + 
       2*t[28] + 2*t[29] - 2*t[30] + 2*t[31] + 4*t[35] - 4*t[44] + t[48]/2 - 
       (3*t[50])/2 + (3*t[52])/2 + (3*t[54])/2 + 3*t[60] - 2*t[61] - 
       2*t[62] - 12*t[63] + 4*t[64] + (8*t[65])/3 - (14*t[66])/3 + 2*t[72] + 
       2*t[73] + 6*t[75] - 2*t[79] - 4*t[83] + t[84] + t[85] + 6*t[86] - 
       5*t[87] - (5*t[88])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*((15*t[3])/4 + t[13]/18 - (695*t[15])/216 - 
       2*t[31] - 4*t[35] + 2*t[48] + t[64]/6 + 3*t[65] - (2*t[66])/9 - 
       2*t[72] - 4*t[83] - (11*t[88])/12) + HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - w]^3*(-t[3]/8 + (3*t[5])/32 - (3*t[6])/16 + t[7]/16 - 
       (7*t[8])/16 - (11*t[9])/32 + (3*t[10])/16 - (3*t[12])/32 - t[13]/24 + 
       t[14]/32 + (35*t[15])/192 - t[28]/4 - t[29]/4 + t[30]/4 - t[31]/4 - 
       t[35]/2 + t[44]/2 - t[48]/16 + (3*t[50])/16 - (3*t[52])/16 - 
       (3*t[54])/16 - (3*t[60])/8 + t[61]/4 + t[62]/4 + (3*t[63])/2 - 
       t[64]/2 - t[65]/3 + (7*t[66])/12 - t[72]/4 - t[73]/4 - (3*t[75])/4 + 
       t[79]/4 + t[83]/2 - t[84]/8 - t[85]/8 - (3*t[86])/4 + (5*t[87])/8 + 
       (5*t[88])/16) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (-t[3]/4 + (3*t[5])/16 - (3*t[6])/8 + t[7]/8 - (7*t[8])/8 - 
       (11*t[9])/16 + (3*t[10])/8 - (3*t[12])/16 - t[13]/12 + t[14]/16 + 
       (35*t[15])/96 - t[28]/2 - t[29]/2 + t[30]/2 - t[31]/2 - t[35] + 
       t[44] - t[48]/8 + (3*t[50])/8 - (3*t[52])/8 - (3*t[54])/8 - 
       (3*t[60])/4 + t[61]/2 + t[62]/2 + 3*t[63] - t[64] - (2*t[65])/3 + 
       (7*t[66])/6 - t[72]/2 - t[73]/2 - (3*t[75])/2 + t[79]/2 + t[83] - 
       t[84]/4 - t[85]/4 - (3*t[86])/2 + (5*t[87])/4 + (5*t[88])/8) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((3*t[3])/4 + (19*t[15])/24 + (3*t[88])/4) + 
     (3*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*t[88])/4 + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*(6*t[59] + 12*t[88]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*(-16*t[2] + 8*t[3] + 
       (14*t[15])/3 + 6*t[59] + 12*t[88]) + HPL[{1}, 1 - v]^2*Qep[v, w, u]*
      ((16*t[4])/3 + 4*t[5] + 2*t[6] + (4*t[7])/3 + (4*t[8])/3 - 4*t[9] + 
       (52*t[10])/3 - (26*t[11])/3 + (56*t[12])/3 - (188*t[13])/9 + 
       18*t[14] - (38*t[15])/9 + (32*t[37])/3 - (32*t[46])/3 + 2*t[48] + 
       8*t[49] + 2*t[50] + (4*t[51])/3 - 2*t[52] - 8*t[53] - 2*t[54] + 
       (32*t[59])/3 - 20*t[60] + (20*t[61])/3 - (110*t[62])/3 + 50*t[63] + 
       (14*t[64])/3 - (176*t[65])/9 + (40*t[66])/9 + (64*t[69])/3 - 
       (32*t[70])/3 + (32*t[71])/3 + (16*t[73])/3 + (16*t[74])/3 - 
       (80*t[75])/3 + (16*t[79])/3 - (8*t[81])/3 + (8*t[82])/3 + 32*t[83] - 
       4*t[85] + (16*t[86])/3 + 20*t[87] + 10*t[88] - 18*t[89]) + 
     HPL[{1}, 1 - w]^2*Qep[v, w, u]*(4*t[2] - (80*t[3])/3 - (64*t[5])/3 - 
       (64*t[6])/3 + (116*t[7])/3 - 44*t[8] + 52*t[9] + (44*t[10])/3 + 
       16*t[11] + (20*t[12])/3 - (4*t[13])/9 + (128*t[14])/9 + 
       (106*t[15])/27 - (32*t[20])/3 - (32*t[24])/3 - (64*t[28])/3 + 
       (32*t[31])/3 - (32*t[33])/3 + (32*t[35])/3 + (32*t[44])/3 - 
       (80*t[48])/3 + 16*t[50] - 16*t[52] - 16*t[54] - (32*t[60])/3 + 
       (64*t[61])/3 - (136*t[62])/3 + (136*t[63])/3 - (8*t[64])/3 - 
       (64*t[65])/3 - (272*t[66])/9 + (16*t[74])/3 - (64*t[75])/3 + 
       (16*t[79])/3 + (128*t[83])/3 + (32*t[85])/3 + (80*t[86])/3 + 
       (32*t[87])/3 + (16*t[88])/3 - (32*t[89])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-25*t[2])/18 + (43*t[3])/6 - 9*t[4] - (9*t[5])/4 - (11*t[6])/2 + 
       (25*t[7])/2 - (3*t[8])/2 + (33*t[9])/4 - 5*t[10] + (13*t[12])/4 - 
       (97*t[13])/18 - (2*t[14])/3 - (41*t[15])/8 - t[24] - 2*t[30] + 
       3*t[31] + 2*t[32] - 2*t[33] + 8*t[35] + 2*t[36] + t[43] - 
       (9*t[48])/2 - (3*t[49])/2 + (5*t[50])/2 + (3*t[51])/4 - (5*t[52])/2 + 
       (3*t[53])/2 - (3*t[54])/2 - (5*t[59])/18 - t[60] - 5*t[61] - 
       (52*t[62])/3 - (17*t[63])/3 + (56*t[64])/3 + (49*t[65])/9 + 
       (16*t[66])/9 + 2*t[72] + 2*t[73] - 2*t[74] - 2*t[77] - 2*t[78] - 
       2*t[79] + 4*t[80] - 2*t[81] + 2*t[82] + 7*t[83] - t[84] + t[85] + 
       30*t[86] + 3*t[87] + (29*t[88])/6 - (11*t[89])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (29*t[4] + (9*t[5])/8 - (9*t[7])/4 - (9*t[8])/4 - (9*t[9])/8 + 
       (71*t[10])/4 + (19*t[11])/4 - (77*t[12])/8 - (11*t[13])/3 + 
       (373*t[14])/24 - (239*t[15])/48 + 3*t[36] + (19*t[49])/2 - 
       (27*t[51])/4 - (19*t[53])/2 - 9*t[54] + 39*t[60] - t[61]/2 - 
       (55*t[62])/4 + (39*t[63])/4 - (271*t[64])/4 - (203*t[65])/6 - 
       (45*t[66])/2 - 3*t[73] - 9*t[75] + 3*t[79] + 10*t[83] + 9*t[84] + 
       9*t[85] - 9*t[86] - 31*t[87] - 16*t[88] - (21*t[89])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-13*t[3])/2 - (55*t[5])/8 - (15*t[6])/2 + (151*t[7])/4 - 
       (197*t[8])/4 + (347*t[9])/8 + (9*t[10])/4 + (21*t[11])/4 - 
       (9*t[12])/8 - t[13] + (137*t[14])/8 - (323*t[15])/48 - 3*t[28] + 
       t[29] - 10*t[30] + 4*t[44] - (31*t[48])/2 + (31*t[50])/2 - 
       (31*t[52])/2 - (15*t[54])/2 + 39*t[60] - t[61]/2 - (55*t[62])/4 + 
       (39*t[63])/4 - (271*t[64])/4 - (203*t[65])/6 - (45*t[66])/2 - 
       3*t[73] - 9*t[75] + 3*t[79] + 10*t[83] + 9*t[84] + 9*t[85] - 9*t[86] - 
       31*t[87] - 16*t[88] - (21*t[89])/4) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*(-35*t[1] + (61*t[3])/4 - 112*t[4] - 
       (25*t[5])/8 - (171*t[6])/8 - (61*t[7])/4 - (183*t[8])/4 - 
       (305*t[9])/8 - (21*t[10])/4 - (209*t[11])/8 + (769*t[12])/8 + 
       (25*t[13])/8 - (92*t[14])/3 + (21*t[15])/16 + 2*t[16] - 5*t[25] + 
       17*t[26] + 4*t[36] - 8*t[37] - 22*t[38] + 2*t[46] + (37*t[48])/8 + 
       3*t[49] + (73*t[50])/8 - (29*t[51])/4 - (73*t[52])/8 + 17*t[53] - 
       (73*t[54])/8 + 20*t[59] - (655*t[60])/4 - (231*t[61])/4 + 
       (457*t[62])/8 + (499*t[63])/8 + (501*t[64])/8 + (295*t[65])/4 + 
       (691*t[66])/12 - 2*t[67] + 25*t[69] + t[70] - t[71] - 4*t[74] - 
       2*t[81] + 2*t[82] - (61*t[84])/4 - (55*t[85])/4 + (305*t[87])/4 + 
       (305*t[88])/8 - (29*t[89])/8) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*(-67*t[2] + (125*t[3])/4 - (73*t[4])/4 - 
       (63*t[5])/8 + 7*t[6] + (11*t[7])/4 + (165*t[8])/4 + (107*t[9])/8 + 
       (245*t[10])/8 - (217*t[11])/4 - (49*t[12])/4 - (229*t[13])/12 - 
       (875*t[14])/16 + (1465*t[15])/48 - 13*t[18] - 50*t[20] + 26*t[22] + 
       15*t[29] - 4*t[32] + 9*t[33] - 8*t[34] - 5*t[44] + 7*t[48] + 
       (49*t[49])/8 + 8*t[50] - (49*t[51])/16 - 8*t[52] - (49*t[53])/8 + 
       (83*t[54])/4 + 20*t[59] - (655*t[60])/4 - (231*t[61])/4 + 
       (457*t[62])/8 + (499*t[63])/8 + (501*t[64])/8 + (295*t[65])/4 + 
       (691*t[66])/12 - 2*t[67] + 25*t[69] + t[70] - t[71] - 4*t[74] - 
       2*t[81] + 2*t[82] - (61*t[84])/4 - (55*t[85])/4 + (305*t[87])/4 + 
       (305*t[88])/8 - (29*t[89])/8) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      M1[v, w, u]*(t[1]/2 - (3*t[2])/4 + (13*t[3])/12 + (3*t[4])/2 - 
       (5*t[5])/12 - (37*t[6])/12 + (7*t[7])/4 - (37*t[8])/4 + 6*t[9] + 
       (11*t[10])/6 + (8*t[11])/3 - (7*t[12])/12 + (13*t[13])/72 + 
       (181*t[14])/72 - (185*t[15])/72 - t[31]/3 - t[36] - t[37] - t[43]/6 - 
       (3*t[48])/2 + (13*t[49])/12 + (5*t[50])/3 - (5*t[51])/8 - 
       (5*t[52])/3 - (13*t[53])/12 - (13*t[54])/6 + (16*t[60])/3 - 
       (7*t[61])/2 - (16*t[62])/3 + 4*t[63] - (11*t[64])/2 - (11*t[65])/2 - 
       (59*t[66])/18 - 2*t[73] + 3*t[79] + 2*t[80] + (2*t[82])/3 - t[83]/2 + 
       t[84]/3 - t[85]/3 + (14*t[86])/3 - (17*t[87])/3 - (17*t[88])/6 - 
       (7*t[89])/2) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((129*t[2])/4 - (103*t[3])/4 + (7*t[4])/2 + (49*t[5])/4 - 5*t[6] - 
       (57*t[7])/4 - (15*t[8])/4 - 7*t[9] + (7*t[10])/4 + (57*t[11])/4 + 
       (83*t[13])/12 - (5*t[14])/4 - (65*t[15])/24 + 5*t[18] + 18*t[20] - 
       10*t[22] - 4*t[29] + 5*t[32] - 11*t[33] + 8*t[34] - (39*t[44])/2 - 
       5*t[48] + 2*t[49] - 10*t[50] - t[51] + 10*t[52] - 2*t[53] - 3*t[54] - 
       (11*t[59])/2 + 10*t[60] + (51*t[61])/2 - 12*t[62] - (15*t[63])/2 + 
       (169*t[64])/4 + (59*t[65])/12 - (191*t[66])/4 + (5*t[67])/2 - 
       9*t[69] - t[70] + t[71] + 5*t[74] + (5*t[81])/2 - (5*t[82])/2 - 
       t[84]/4 - 2*t[85] - (3*t[87])/2 - t[88]/4 - (3*t[89])/2) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w]*(9*t[1] - (31*t[3])/4 - 
       14*t[4] - (7*t[5])/4 + (23*t[6])/4 + (31*t[7])/4 + (93*t[8])/4 + 
       (23*t[9])/2 - (93*t[10])/4 + (111*t[11])/4 - (5*t[12])/2 + 
       (373*t[13])/24 + (175*t[14])/24 + (21*t[15])/8 - (5*t[16])/2 + 
       6*t[25] - 19*t[26] - 5*t[36] + (17*t[37])/2 + 8*t[38] - 2*t[46] + 
       (15*t[48])/4 - (5*t[49])/2 - (7*t[50])/4 + (57*t[51])/8 + 
       (7*t[52])/4 + (25*t[53])/2 + (7*t[54])/4 - (11*t[59])/2 + 10*t[60] + 
       (51*t[61])/2 - 12*t[62] - (15*t[63])/2 + (169*t[64])/4 + 
       (59*t[65])/12 - (191*t[66])/4 + (5*t[67])/2 - 9*t[69] - t[70] + 
       t[71] + 5*t[74] + (5*t[81])/2 - (5*t[82])/2 - t[84]/4 - 2*t[85] - 
       (3*t[87])/2 - t[88]/4 - (3*t[89])/2) + B8[v, w, u]*HPL[{1}, 1 - w]*
      (-t[1]/2 + (3*t[2])/4 + (5*t[3])/4 - (9*t[4])/2 + 4*t[5] - t[6] + 
       t[7]/4 + (3*t[8])/4 - (13*t[9])/4 - (17*t[10])/4 - (3*t[11])/4 + 
       (5*t[12])/4 - (83*t[13])/36 - (11*t[14])/4 + (5*t[15])/12 + t[36] + 
       t[43]/2 - t[49]/2 + t[51]/4 + t[53]/2 - 6*t[60] - (7*t[61])/2 - 
       t[62]/4 + t[63]/4 + (23*t[64])/2 + (13*t[65])/12 + (29*t[66])/12 - 
       t[75] - t[77] - t[78] + 2*t[80] - t[81]/2 + t[82]/2 + t[83] - 
       (3*t[84])/4 + 6*t[86] + (7*t[87])/2 + (7*t[88])/4 - (3*t[89])/2) + 
     B8[w, u, v]*HPL[{1}, 1 - v]*(-t[2] + (3*t[3])/4 - t[4] - (5*t[6])/4 + 
       (3*t[7])/4 + t[8]/4 - (3*t[9])/4 - (29*t[10])/4 + (9*t[11])/4 + 
       (3*t[12])/4 + (41*t[13])/72 - 4*t[14] - (5*t[15])/12 - t[20] - t[21] + 
       t[23] - t[28] - t[31] + t[35] - t[39] + t[40] - t[41]/2 + t[42]/2 - 
       t[45] + 2*t[47] - t[48]/4 + t[50]/4 - (5*t[52])/4 - t[54]/4 - 
       6*t[60] - (7*t[61])/2 - t[62]/4 + t[63]/4 + (23*t[64])/2 + 
       (13*t[65])/12 + (29*t[66])/12 - t[75] - t[77] - t[78] + 2*t[80] - 
       t[81]/2 + t[82]/2 + t[83] - (3*t[84])/4 + 6*t[86] + (7*t[87])/2 + 
       (7*t[88])/4 - (3*t[89])/2) + B10[w, u, v]*HPL[{1}, 1 - v]*
      (t[10] - 2*t[11] - t[12] - (2*t[13])/3 + (2*t[14])/3 - t[15]/3 - 
       2*t[46] + t[49] + t[51] - t[53] + 2*t[61] - t[62] + 6*t[63] - t[64] + 
       (4*t[66])/3 - t[89]) + B10[v, w, u]*HPL[{1}, 1 - w]*
      (-t[3] - 2*t[5] - t[6] + 2*t[7] + 2*t[8] + 2*t[9] + t[11] - 
       (2*t[13])/3 + t[14] + t[15]/2 - t[48] + t[50] - t[52] - t[54] + 
       2*t[61] - t[62] + 6*t[63] - t[64] + (4*t[66])/3 - t[89]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Nt[u, v, w]*((-5*t[3])/6 + (5*t[4])/2 - 
       t[5]/12 + (13*t[6])/12 - t[8] - t[9]/4 - (13*t[10])/12 + 
       (37*t[11])/12 - t[12]/6 + 2*t[13] + (119*t[14])/72 + (35*t[15])/72 + 
       t[31]/3 + t[43]/6 - t[48]/4 + (5*t[49])/12 + t[50]/12 - t[51]/8 - 
       t[52]/12 - (5*t[53])/12 - (7*t[54])/12 + (5*t[60])/3 + 8*t[61] + 
       (7*t[62])/3 - 3*t[63] - 3*t[64] - 8*t[65] - (59*t[66])/9 - 2*t[79] - 
       (2*t[82])/3 - t[84]/3 + t[85]/3 - (14*t[86])/3 - t[87]/3 - t[88]/6 - 
       t[89]) + HPL[{1}, 1 - w]^3*Omega2[w, u, v]*(t[2]/6 - (5*t[3])/2 - 
       (5*t[5])/2 - 2*t[6] + 4*t[7] - 3*t[8] + 5*t[9] + t[10] + (3*t[11])/2 + 
       t[12] - t[13]/12 + (4*t[14])/3 + (2*t[15])/9 - t[20] - t[24] - 
       2*t[28] + t[31] - t[33] + 2*t[35] + t[44] - (5*t[48])/2 + 
       (3*t[50])/2 - (3*t[52])/2 - (3*t[54])/2 - t[60] + (3*t[61])/2 - 
       (14*t[62])/3 + (9*t[63])/2 + t[64]/2 - (4*t[65])/3 - (8*t[66])/3 - 
       2*t[75] + 4*t[83] + t[85] + 4*t[86] + t[87] + t[88]/2 - t[89]) + 
     B5[w, u, v]*HPL[{1}, 1 - v]*(t[4]/2 - t[6]/2 + t[10]/4 - (3*t[12])/4 - 
       t[13]/2 - t[14]/24 - t[15]/4 + (3*t[49])/4 - (3*t[51])/8 - 
       (3*t[53])/4 - t[54]/2 + t[60]/2 - t[61]/2 - t[62]/4 + (5*t[63])/4 - 
       (5*t[64])/4 - (13*t[65])/6 + t[66]/6 - t[72] - t[83] - t[84]/2 + 
       t[85]/2 - t[87]/2 - t[88]/4 - (3*t[89])/4) + 
     B5[v, u, w]*HPL[{1}, 1 - w]*(t[6]/4 - 2*t[8] + t[9]/2 - t[11]/4 + 
       t[12]/2 + t[13]/3 + t[14]/4 + t[15]/12 - t[24] - t[48]/4 - t[50]/4 + 
       t[52]/4 + t[54]/4 + t[60]/2 - t[61]/2 - t[62]/4 + (5*t[63])/4 - 
       (5*t[64])/4 - (13*t[65])/6 + t[66]/6 - t[72] - t[83] - t[84]/2 + 
       t[85]/2 - t[87]/2 - t[88]/4 - (3*t[89])/4) + 
     B5[v, w, u]*HPL[{1}, 1 - w]*(-t[3]/2 - (3*t[6])/4 + t[7] - t[8] + 
       t[9]/2 + (3*t[11])/4 - t[12]/2 + t[14]/4 + t[15]/6 - t[48]/4 + 
       (3*t[50])/4 - (3*t[52])/4 - (3*t[54])/4 + t[60]/2 + (3*t[61])/2 - 
       t[62]/4 + t[63]/4 + (3*t[64])/4 + t[65]/6 - (13*t[66])/6 + t[83] + 
       t[84]/2 - t[85]/2 + t[87]/2 + t[88]/4 - (3*t[89])/4) + 
     B5[w, v, u]*HPL[{1}, 1 - v]*(-t[4]/2 + t[6]/2 - t[7] + t[8] + 
       (5*t[10])/4 + t[12]/4 + (5*t[13])/6 + (19*t[14])/24 - t[15]/4 - 
       t[27] - t[49]/4 + t[51]/8 + t[53]/4 + t[54]/2 + t[60]/2 + 
       (3*t[61])/2 - t[62]/4 + t[63]/4 + (3*t[64])/4 + t[65]/6 - 
       (13*t[66])/6 + t[83] + t[84]/2 - t[85]/2 + t[87]/2 + t[88]/4 - 
       (3*t[89])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v]*
      (t[4] + t[7]/4 + t[8]/4 - t[10]/2 - 2*t[11] + (7*t[12])/4 - 
       (2*t[13])/3 + t[14]/6 - t[15]/12 + t[37] - t[46]/2 + t[49]/4 + 
       t[51]/4 - t[53]/4 + (2*t[59])/3 - 2*t[61] + t[62]/6 + (3*t[63])/2 - 
       t[64] - t[65]/3 + (4*t[66])/3 + 2*t[69] - t[70] + t[71] - t[74] - 
       t[79] + t[83]/2 + t[86] - t[89]/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      M1[w, u, v]*((-3*t[5])/8 + t[6]/2 - t[7]/4 + (7*t[8])/4 + (7*t[9])/8 - 
       (3*t[10])/4 + t[11]/4 + (3*t[12])/8 + (5*t[14])/8 - (41*t[15])/144 + 
       t[28] - t[30] + t[31] + 2*t[35] - t[44] + t[48]/2 - t[50]/2 + 
       t[52]/2 + t[54]/2 + t[61]/2 - (3*t[62])/4 - (17*t[63])/4 + 
       (7*t[64])/4 + (11*t[65])/6 - (5*t[66])/6 + t[72] + t[73] + t[75] - 
       t[79] + t[83] + 3*t[86] - t[87] - t[88]/2 - t[89]/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^5*(t[2]/192 + (5*t[3])/16 + 
       (3*t[5])/8 + t[6]/4 - (35*t[7])/64 + (15*t[8])/64 - (41*t[9])/64 - 
       (5*t[10])/64 - (3*t[11])/16 - (11*t[12])/64 + t[13]/64 - t[14]/6 - 
       (11*t[15])/1152 + t[20]/8 + t[24]/8 + t[28]/4 - t[31]/8 + t[33]/8 - 
       (3*t[35])/8 - t[44]/8 + (5*t[48])/16 - (3*t[50])/16 + (3*t[52])/16 + 
       (3*t[54])/16 + t[60]/8 - t[61]/8 + (61*t[62])/96 - (19*t[63])/32 - 
       (5*t[64])/32 + t[65]/12 + (5*t[66])/16 + t[74]/16 + t[75]/4 + 
       t[79]/16 - t[83]/2 - t[85]/8 - (11*t[86])/16 - t[87]/8 - t[88]/16 + 
       t[89]/8) + B7[w, u, v]*HPL[{1}, 1 - v]*(-t[2] - t[3]/4 + (3*t[5])/8 + 
       (7*t[6])/8 - t[7]/4 - (3*t[8])/4 - t[9]/8 - (9*t[10])/4 - 
       (3*t[11])/8 - (3*t[12])/8 + (5*t[13])/24 - t[14]/2 + (9*t[15])/16 - 
       t[20] - t[21] + t[23] - t[41]/2 + t[42]/2 + (3*t[48])/8 - t[50]/8 - 
       (7*t[52])/8 + t[54]/8 - (9*t[60])/4 - t[61]/4 + (31*t[62])/8 + 
       (13*t[63])/8 - (13*t[64])/8 + (5*t[65])/4 + (13*t[66])/12 - t[83] + 
       t[84]/4 - t[85]/4 - 4*t[86] + (3*t[87])/4 + (3*t[88])/8 + t[89]/8) + 
     B7[v, w, u]*HPL[{1}, 1 - w]*(-t[1]/2 + t[3]/4 - (3*t[4])/4 + 
       (17*t[5])/8 - (5*t[7])/4 - (7*t[8])/4 - (13*t[9])/8 - (9*t[10])/8 - 
       t[11]/4 + (3*t[12])/2 - (7*t[13])/12 - (19*t[14])/48 + (7*t[15])/16 - 
       t[49]/8 + t[51]/16 + t[53]/8 + t[54]/4 - (9*t[60])/4 - t[61]/4 + 
       (31*t[62])/8 + (13*t[63])/8 - (13*t[64])/8 + (5*t[65])/4 + 
       (13*t[66])/12 - t[83] + t[84]/4 - t[85]/4 - 4*t[86] + (3*t[87])/4 + 
       (3*t[88])/8 + t[89]/8) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-71*t[2])/36 + (13*t[3])/36 + (3*t[4])/4 + 3*t[5] - t[6]/4 - 
       (7*t[7])/4 - (11*t[8])/4 - (11*t[9])/4 - (5*t[10])/8 + t[11] - 
       (13*t[12])/8 + (2*t[13])/3 - (3*t[14])/16 + (313*t[15])/648 + t[24] - 
       t[29] + t[30] - t[31] - 4*t[35] + t[48]/4 + (3*t[49])/8 + t[50]/4 - 
       (3*t[51])/16 - t[52]/4 - (3*t[53])/8 - t[54] + (14*t[59])/9 - 
       (7*t[60])/4 + (9*t[61])/4 + (109*t[62])/72 - (121*t[63])/72 - 
       t[64]/8 - (25*t[65])/54 - (4*t[66])/3 - t[73] + t[74] - t[75] + 
       t[79] + t[81]/2 - t[82]/2 + t[83] - t[84]/2 - (3*t[85])/4 - 3*t[86] + 
       (7*t[87])/4 + (77*t[88])/72 + t[89]/8) + HPL[{1}, 1 - w]^2*M1[w, u, v]*
      ((3*t[2])/8 + t[3]/4 + (3*t[4])/8 + (3*t[5])/2 - (3*t[7])/8 - 
       (23*t[8])/8 - (5*t[9])/8 - (5*t[10])/16 + (3*t[11])/8 - (9*t[12])/16 + 
       t[13]/2 + t[14]/32 - (11*t[15])/36 + t[24]/2 - t[29]/2 - t[31]/2 - 
       2*t[35] + t[44]/2 + (3*t[49])/16 - (3*t[51])/32 - (3*t[53])/16 - 
       (3*t[54])/8 - t[60]/8 - t[61]/8 - (5*t[62])/16 - (31*t[63])/16 - 
       (15*t[64])/16 - t[65]/2 - (7*t[66])/4 - t[73]/2 + t[74]/2 - t[75]/2 + 
       t[79]/2 + t[81]/4 - t[82]/4 - t[83]/2 + (3*t[85])/8 - (3*t[86])/2 + 
       t[87]/8 + t[88]/16 + (3*t[89])/16) + B9[v, w, u]*HPL[{1}, 1 - w]*
      ((-3*t[2])/2 + (3*t[4])/2 - (7*t[5])/4 - t[6] + 2*t[7] + (21*t[8])/2 + 
       (17*t[9])/4 - (3*t[10])/4 + 3*t[11] + (5*t[12])/2 - (5*t[13])/6 + 
       t[14]/24 - (11*t[15])/24 - 2*t[36] + (3*t[49])/4 - (3*t[51])/8 - 
       (3*t[53])/4 - (3*t[54])/2 + (3*t[60])/2 + t[61]/2 - (23*t[62])/4 - 
       (21*t[63])/4 + (11*t[64])/4 - (5*t[65])/3 - (2*t[66])/3 + 2*t[68] + 
       4*t[79] - t[81] + t[82] + 2*t[83] + (3*t[85])/2 + 8*t[86] - 
       (3*t[87])/2 - (3*t[88])/4 + t[89]/4) + B9[w, u, v]*HPL[{1}, 1 - v]*
      ((-9*t[5])/4 - (3*t[6])/4 + 2*t[7] + 2*t[8] + (9*t[9])/4 - 
       (3*t[10])/2 + (27*t[11])/4 + (3*t[12])/4 + t[13]/2 + (4*t[14])/3 - 
       (7*t[15])/8 - 2*t[28] - 2*t[39] - (3*t[48])/4 - (3*t[50])/4 + 
       (3*t[52])/4 + (3*t[54])/4 + (3*t[60])/2 + t[61]/2 - (23*t[62])/4 - 
       (21*t[63])/4 + (11*t[64])/4 - (5*t[65])/3 - (2*t[66])/3 + 2*t[68] + 
       4*t[79] - t[81] + t[82] + 2*t[83] + (3*t[85])/2 + 8*t[86] - 
       (3*t[87])/2 - (3*t[88])/4 + t[89]/4) + HPL[{1}, 1 - w]^5*
      HPL[{0, 1}, 1 - u]*((3*t[2])/32 + (5*t[3])/8 + (3*t[5])/4 + t[6]/2 - 
       (35*t[7])/32 + (15*t[8])/32 - (41*t[9])/32 - (5*t[10])/32 - 
       (3*t[11])/8 - (11*t[12])/32 + t[13]/32 - t[14]/3 - (43*t[15])/576 + 
       t[20]/4 + t[24]/4 + t[28]/2 - t[31]/4 + t[33]/4 - (3*t[35])/4 - 
       t[44]/4 + (5*t[48])/8 - (3*t[50])/8 + (3*t[52])/8 + (3*t[54])/8 + 
       t[59]/120 + t[60]/4 - t[61]/4 + (61*t[62])/48 - (19*t[63])/16 - 
       (5*t[64])/16 + t[65]/6 + (5*t[66])/8 + t[74]/8 + t[75]/2 + t[79]/8 - 
       t[83] - t[85]/4 - (11*t[86])/8 - t[87]/4 - t[88]/8 + t[89]/4) + 
     B9[w, u, v]*HPL[{1}, 1 - w]*((3*t[2])/2 - t[5] - t[6] + t[7]/2 - 
       (5*t[8])/2 + (7*t[9])/2 + (3*t[10])/2 - t[12]/2 - (4*t[13])/3 - 
       t[14]/3 - (11*t[15])/12 - 2*t[28] - 2*t[33] - t[61] - 2*t[62] + 
       (17*t[63])/2 + t[64]/2 + (10*t[66])/3 + 2*t[74] + 2*t[79] + 2*t[86] + 
       t[89]) + B9[v, w, u]*HPL[{1}, 1 - v]*(t[7]/2 + t[8]/2 - (3*t[10])/2 - 
       (5*t[13])/3 + (5*t[14])/12 + t[16] - t[46] - (3*t[51])/4 - t[61] - 
       2*t[62] + (17*t[63])/2 + t[64]/2 + (10*t[66])/3 + 2*t[74] + 2*t[79] + 
       2*t[86] + t[89]) + B11[u, v, w]*HPL[{1}, 1 - v]*
      (t[7] + t[8] + t[10] + t[11] - (2*t[14])/3 - t[61] - 3*t[62] - t[63] + 
       3*t[64] + (4*t[65])/3 + 4*t[86] + t[89]) + 
     B11[u, v, w]*HPL[{1}, 1 - w]*(-t[2] - t[5] - t[6] + t[7] + t[8] + 
       2*t[9] + t[10] - t[13]/2 - t[14]/3 - (2*t[15])/3 - t[61] - 3*t[62] - 
       t[63] + 3*t[64] + (4*t[65])/3 + 4*t[86] + t[89]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Ot[u, v, w]*((3*t[2])/4 - (10*t[3])/3 + 
       5*t[4] + t[5]/6 + (16*t[6])/3 - (5*t[7])/4 + (9*t[8])/4 - 
       (15*t[9])/4 - (43*t[10])/12 + (19*t[11])/3 - (5*t[12])/12 + 
       (79*t[13])/12 + (103*t[14])/36 + (293*t[15])/72 + (4*t[31])/3 + 
       t[36] + (2*t[43])/3 - (5*t[49])/6 - (2*t[50])/3 + (3*t[51])/4 + 
       (2*t[52])/3 + (5*t[53])/6 + (2*t[54])/3 + (8*t[60])/3 + 24*t[61] + 
       (83*t[62])/6 - (23*t[63])/2 - (23*t[64])/2 - 14*t[65] - 
       (113*t[66])/9 + 2*t[73] - 7*t[79] - (8*t[82])/3 - (4*t[84])/3 + 
       (4*t[85])/3 - (71*t[86])/3 + (8*t[87])/3 + (4*t[88])/3 + t[89]) + 
     HPL[{1}, 1 - v]*Phi6[u, v, w]^2*(-t[3]/2 - t[4] + (3*t[5])/16 + 
       (17*t[6])/16 - (9*t[7])/8 - (9*t[8])/8 + (5*t[9])/16 + (11*t[10])/8 - 
       (21*t[11])/16 + (7*t[12])/16 + (41*t[13])/72 - (37*t[14])/48 + 
       (95*t[15])/96 + t[28]/2 + t[31]/2 - t[35]/2 + t[39]/2 - t[40]/2 + 
       t[45]/2 + t[46]/4 - t[47] + (5*t[48])/16 - t[49] - (3*t[50])/16 + 
       (7*t[51])/16 + (3*t[52])/16 + t[53] + (3*t[54])/16 - t[60]/8 + 
       (5*t[61])/8 + (85*t[62])/16 - (17*t[63])/16 - (61*t[64])/16 + 
       (23*t[65])/12 + (7*t[66])/6 + t[74]/2 + t[75]/2 + t[77]/2 + t[78]/2 + 
       t[79]/2 - t[80] + t[81]/4 - t[82]/4 - (3*t[83])/2 + t[84]/2 - 
       t[85]/8 - (15*t[86])/2 - (3*t[87])/8 - (3*t[88])/16 + (33*t[89])/16) + 
     HPL[{1}, 1 - w]*Phi6[u, v, w]^2*((-3*t[3])/2 + (15*t[4])/8 - 
       (3*t[5])/16 + (9*t[6])/4 - (35*t[7])/8 + (27*t[8])/8 - (33*t[9])/16 + 
       (27*t[10])/16 - (5*t[11])/4 - t[12]/2 + (37*t[13])/36 + 
       (25*t[14])/96 + (95*t[15])/96 + t[28]/2 - t[32]/2 + t[33]/2 - 
       t[35]/2 - t[36]/2 - t[43]/4 - t[44]/2 + (3*t[48])/2 + (3*t[49])/16 - 
       (3*t[50])/2 - (3*t[51])/32 + (3*t[52])/2 - (3*t[53])/16 + 
       (13*t[54])/8 - t[60]/8 + (5*t[61])/8 + (85*t[62])/16 - (17*t[63])/16 - 
       (61*t[64])/16 + (23*t[65])/12 + (7*t[66])/6 + t[74]/2 + t[75]/2 + 
       t[77]/2 + t[78]/2 + t[79]/2 - t[80] + t[81]/4 - t[82]/4 - 
       (3*t[83])/2 + t[84]/2 - t[85]/8 - (15*t[86])/2 - (3*t[87])/8 - 
       (3*t[88])/16 + (33*t[89])/16) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*(8*t[1] + (9*t[2])/4 - (11*t[3])/2 + 
       (21*t[4])/2 + (5*t[5])/4 + (113*t[6])/8 - (9*t[7])/2 + 6*t[8] - 
       (33*t[9])/2 - 19*t[10] + (65*t[11])/8 + t[12]/4 + 8*t[13] - 
       (199*t[14])/24 + (139*t[15])/12 - 3*t[25] + 3*t[26] + t[31] + 
       3*t[36] + 3*t[37] + t[43]/2 + (9*t[48])/8 - 7*t[49] - (7*t[50])/8 + 
       (9*t[51])/2 + (7*t[52])/8 + 7*t[53] - (5*t[54])/8 + 3*t[59] + 
       (25*t[60])/2 + (53*t[61])/2 + (151*t[62])/4 - (213*t[63])/4 - 
       (75*t[64])/4 - (181*t[65])/6 + 11*t[69] - (15*t[70])/2 + 
       (15*t[71])/2 + 3*t[72] + 9*t[73] - 3*t[74] + (9*t[75])/2 - 
       (51*t[79])/2 - (3*t[80])/2 - (3*t[81])/2 - (7*t[82])/2 - 
       (39*t[83])/4 - 4*t[84] + (7*t[85])/4 - 44*t[86] + (11*t[87])/4 + 
       (11*t[88])/8 + (21*t[89])/4) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]^2*
      (-11*t[1] + (13*t[3])/4 - 24*t[4] + (5*t[5])/8 - (33*t[6])/8 - 
       (13*t[7])/4 - (39*t[8])/4 - (63*t[9])/8 + (79*t[10])/4 - 
       (155*t[11])/8 + (143*t[12])/8 - (217*t[13])/24 - (13*t[14])/2 + 
       (149*t[15])/48 + t[16] - 3*t[25] + 10*t[26] + 2*t[36] - 2*t[37] - 
       9*t[38] - t[48]/8 + 6*t[49] + (19*t[50])/8 - (23*t[51])/4 - 
       (19*t[52])/8 - 3*t[53] - (19*t[54])/8 + 5*t[59] - (153*t[60])/4 + 
       (3*t[61])/4 + (123*t[62])/8 + (225*t[63])/8 + (35*t[64])/8 + 
       (99*t[65])/4 + (587*t[66])/12 - t[67] + 3*t[69] + t[70] - t[71] - 
       2*t[74] - t[81] + t[82] - (13*t[84])/4 - (9*t[85])/4 + (43*t[87])/4 + 
       (43*t[88])/8 + (53*t[89])/8) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]^2*
      ((-37*t[2])/2 + (33*t[3])/4 - (19*t[4])/4 - (117*t[5])/8 + 10*t[6] + 
       (35*t[7])/4 + (165*t[8])/4 + (77*t[9])/8 + (31*t[10])/8 - 
       (81*t[11])/4 - (7*t[12])/4 - (43*t[13])/4 - (69*t[14])/16 + 
       (227*t[15])/48 - 2*t[18] - 6*t[20] + 4*t[22] + 8*t[29] + 2*t[33] - 
       7*t[34] + 3*t[44] + 10*t[48] + (7*t[49])/8 + 5*t[50] - (7*t[51])/16 - 
       5*t[52] - (7*t[53])/8 + (49*t[54])/4 + 5*t[59] - (153*t[60])/4 + 
       (3*t[61])/4 + (123*t[62])/8 + (225*t[63])/8 + (35*t[64])/8 + 
       (99*t[65])/4 + (587*t[66])/12 - t[67] + 3*t[69] + t[70] - t[71] - 
       2*t[74] - t[81] + t[82] - (13*t[84])/4 - (9*t[85])/4 + (43*t[87])/4 + 
       (43*t[88])/8 + (53*t[89])/8) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*(-16*t[1] + 16*t[12] + (32*t[13])/3 - 
       16*t[60] + 24*t[61] + 12*t[62] + 16*t[63] + 70*t[64] - 24*t[65] - 
       (80*t[66])/3 + 8*t[70] - 8*t[71] + 12*t[79] - 4*t[83] - 28*t[86] + 
       16*t[87] + 8*t[88] + 12*t[89]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(-14*t[2] + 2*t[3] + 22*t[5] + 8*t[6] - 
       34*t[7] - 2*t[8] - 20*t[9] + 18*t[10] - 10*t[11] - 16*t[12] + 
       (31*t[13])/3 - (32*t[14])/3 - 9*t[15] - 8*t[18] - 16*t[35] + 
       10*t[48] - 10*t[50] + 10*t[52] + 10*t[54] - 16*t[60] + 24*t[61] + 
       12*t[62] + 16*t[63] + 70*t[64] - 24*t[65] - (80*t[66])/3 + 8*t[70] - 
       8*t[71] + 12*t[79] - 4*t[83] - 28*t[86] + 16*t[87] + 8*t[88] + 
       12*t[89]) + HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w]*
      (-18*t[1] + 6*t[3] - 48*t[4] + (3*t[5])/8 - (63*t[6])/8 - 6*t[7] - 
       18*t[8] - (115*t[9])/8 + (67*t[10])/2 - (289*t[11])/8 + 
       (223*t[12])/8 - (221*t[13])/12 - (379*t[14])/24 + (117*t[15])/16 + 
       (3*t[16])/2 - 5*t[25] + 18*t[26] + 3*t[36] - (5*t[37])/2 - 14*t[38] + 
       t[46] + t[48]/8 + 12*t[49] + (33*t[50])/8 - (91*t[51])/8 - 
       (33*t[52])/8 - 12*t[53] - (33*t[54])/8 + (19*t[59])/2 - 
       (297*t[60])/4 - (15*t[61])/4 + (291*t[62])/8 + (397*t[63])/8 + 
       (113*t[64])/8 + (355*t[65])/6 + 103*t[66] - (3*t[67])/2 + 6*t[69] + 
       2*t[70] - 2*t[71] - 3*t[74] - (3*t[81])/2 + (3*t[82])/2 - 6*t[84] - 
       (17*t[85])/4 + (81*t[87])/4 + (81*t[88])/8 + (141*t[89])/8) + 
     HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - v]*((-131*t[2])/4 + 12*t[3] - 
       (33*t[4])/4 - (223*t[5])/8 + (47*t[6])/2 + 11*t[7] + 87*t[8] + 
       (133*t[9])/8 + (65*t[10])/8 - 42*t[11] - (15*t[12])/4 - (64*t[13])/3 - 
       (307*t[14])/48 + (541*t[15])/48 - 4*t[18] - 12*t[20] + 8*t[22] + 
       21*t[29] + t[32] + 2*t[33] - 14*t[34] - (15*t[44])/2 + (47*t[48])/2 + 
       (15*t[49])/8 + (13*t[50])/2 - (15*t[51])/16 - (13*t[52])/2 - 
       (15*t[53])/8 + (111*t[54])/4 + (19*t[59])/2 - (297*t[60])/4 - 
       (15*t[61])/4 + (291*t[62])/8 + (397*t[63])/8 + (113*t[64])/8 + 
       (355*t[65])/6 + 103*t[66] - (3*t[67])/2 + 6*t[69] + 2*t[70] - 
       2*t[71] - 3*t[74] - (3*t[81])/2 + (3*t[82])/2 - 6*t[84] - 
       (17*t[85])/4 + (81*t[87])/4 + (81*t[88])/8 + (141*t[89])/8) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w]*((-137*t[1])/2 + (73*t[3])/4 - 
       136*t[4] + (13*t[5])/4 - (93*t[6])/4 - (73*t[7])/4 - (219*t[8])/4 - 
       (91*t[9])/2 + (445*t[10])/4 - (453*t[11])/4 + (239*t[12])/2 - 
       (1075*t[13])/24 - (407*t[14])/12 + (479*t[15])/24 + (11*t[16])/2 - 
       14*t[25] + (131*t[26])/2 + 11*t[36] - 9*t[37] - (113*t[38])/2 + 
       t[46] + (3*t[48])/4 + (75*t[49])/2 + (53*t[50])/4 - (81*t[51])/2 - 
       (53*t[52])/4 - 31*t[53] - (53*t[54])/4 + (73*t[59])/2 - 237*t[60] - 
       (33*t[61])/2 + (389*t[62])/4 + (597*t[63])/4 + (19*t[64])/2 + 
       (701*t[65])/4 + (3299*t[66])/12 - (11*t[67])/2 + 21*t[69] + 3*t[70] - 
       3*t[71] - 11*t[74] - (11*t[81])/2 + (11*t[82])/2 - (73*t[84])/4 - 
       14*t[85] + (137*t[87])/2 + (137*t[88])/4 + 45*t[89]) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - v]*((-509*t[2])/4 + (179*t[3])/4 - 
       (53*t[4])/2 - (347*t[5])/4 + (125*t[6])/2 + (171*t[7])/4 + 
       (857*t[8])/4 + 60*t[9] + (99*t[10])/4 - (485*t[11])/4 - 10*t[12] - 
       (689*t[13])/12 - (121*t[14])/4 + (937*t[15])/24 - 12*t[18] - 
       42*t[20] + 24*t[22] + (123*t[29])/2 - 7*t[32] + (35*t[33])/2 - 
       (89*t[34])/2 - 13*t[44] + (125*t[48])/2 + 5*t[49] + (55*t[50])/2 - 
       (5*t[51])/2 - (55*t[52])/2 - 5*t[53] + (153*t[54])/2 + (73*t[59])/2 - 
       237*t[60] - (33*t[61])/2 + (389*t[62])/4 + (597*t[63])/4 + 
       (19*t[64])/2 + (701*t[65])/4 + (3299*t[66])/12 - (11*t[67])/2 + 
       21*t[69] + 3*t[70] - 3*t[71] - 11*t[74] - (11*t[81])/2 + 
       (11*t[82])/2 - (73*t[84])/4 - 14*t[85] + (137*t[87])/2 + 
       (137*t[88])/4 + 45*t[89]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 
       1 - v]*(16*t[1] - 15*t[12] - 105*t[60] + 50*t[61] + (15*t[63])/2 + 
       (615*t[64])/4 + 40*t[65] + 90*t[66] - 60*t[69] + 15*t[70] - 15*t[71] + 
       (15*t[79])/2 - (15*t[83])/2 - (15*t[86])/2 + 105*t[87] + 
       (105*t[88])/2 + 60*t[89]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 
       1 - w]*((465*t[2])/4 + (15*t[3])/4 + (45*t[5])/4 + (105*t[6])/2 - 
       (465*t[7])/4 + (555*t[8])/4 - 105*t[9] + (45*t[10])/4 - 
       (225*t[11])/4 - (15*t[12])/2 - (225*t[13])/8 - (265*t[14])/6 + 
       (175*t[15])/8 + 30*t[18] - 105*t[35] + 12*t[37] + (225*t[48])/4 - 
       (225*t[50])/4 + (225*t[52])/4 + (225*t[54])/4 - 105*t[60] + 50*t[61] + 
       (15*t[63])/2 + (615*t[64])/4 + 40*t[65] + 90*t[66] - 60*t[69] + 
       15*t[70] - 15*t[71] + (15*t[79])/2 - (15*t[83])/2 - (15*t[86])/2 + 
       105*t[87] + (105*t[88])/2 + 60*t[89]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w]*(-134*t[1] + 42*t[3] - 272*t[4] + 
       15*t[5] - 51*t[6] - 42*t[7] - 126*t[8] - 105*t[9] + 267*t[10] - 
       229*t[11] + 229*t[12] - (227*t[13])/3 - (617*t[14])/12 + 
       (205*t[15])/6 + 16*t[16] - 40*t[25] + 150*t[26] + 32*t[36] - 
       37*t[37] - 110*t[38] + 16*t[46] - 3*t[48] + 72*t[49] + 33*t[50] - 
       (385*t[51])/4 - 33*t[52] - 72*t[53] - 33*t[54] + 71*t[59] - 
       490*t[60] - 58*t[61] + (267*t[62])/2 + (605*t[63])/2 + (43*t[64])/2 + 
       (896*t[65])/3 + (1474*t[66])/3 - 16*t[67] + 40*t[69] + 8*t[70] - 
       8*t[71] - 32*t[74] - 16*t[81] + 16*t[82] - 42*t[84] - 30*t[85] + 
       146*t[87] + 73*t[88] + 62*t[89]) + HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - v]*
      (-265*t[2] + 114*t[3] - 66*t[4] - 163*t[5] + 107*t[6] + 120*t[7] + 
       366*t[8] + 111*t[9] + 45*t[10] - 245*t[11] - 18*t[12] - 110*t[13] - 
       (135*t[14])/2 + (445*t[15])/6 - 24*t[18] - 80*t[20] + 48*t[22] + 
       124*t[29] - 14*t[32] + 54*t[33] - 96*t[34] - 7*t[44] + 107*t[48] + 
       9*t[49] + 73*t[50] - (9*t[51])/2 - 73*t[52] - 9*t[53] + 137*t[54] + 
       71*t[59] - 490*t[60] - 58*t[61] + (267*t[62])/2 + (605*t[63])/2 + 
       (43*t[64])/2 + (896*t[65])/3 + (1474*t[66])/3 - 16*t[67] + 40*t[69] + 
       8*t[70] - 8*t[71] - 32*t[74] - 16*t[81] + 16*t[82] - 42*t[84] - 
       30*t[85] + 146*t[87] + 73*t[88] + 62*t[89]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-7*t[1])/6 + (5*t[2])/6 + (9*t[3])/2 + (593*t[4])/12 + 
       (451*t[5])/24 + (10*t[6])/3 + (25*t[7])/3 + 3*t[8] - (271*t[9])/24 - 
       (85*t[10])/3 + (103*t[11])/3 - (349*t[12])/24 + (1547*t[13])/108 - 
       (199*t[14])/144 - (599*t[15])/432 - (3*t[16])/2 + 7*t[25] - 
       (11*t[26])/3 - (8*t[27])/3 - 2*t[28] - (2*t[29])/3 - (8*t[31])/3 - 
       (2*t[32])/3 + (2*t[33])/3 + (2*t[34])/3 - t[36]/3 + 12*t[37] - 
       (2*t[38])/3 - (7*t[39])/3 + (7*t[40])/3 - t[41]/3 + t[42]/3 + 
       (2*t[43])/3 + (4*t[44])/3 - (2*t[46])/3 - (2*t[47])/3 + (17*t[48])/6 + 
       (41*t[49])/12 + (23*t[50])/6 - (115*t[51])/16 - (23*t[52])/6 - 
       (65*t[53])/4 - (95*t[54])/4 + (23*t[59])/6 + (200*t[60])/3 - 
       (31*t[61])/12 - (77*t[62])/8 - (121*t[63])/8 + (445*t[64])/24 - 
       (35*t[65])/12 + (817*t[66])/36 + (3*t[67])/2 + 11*t[69] - 
       (7*t[70])/3 + (7*t[71])/3 + (10*t[72])/3 - (5*t[74])/3 - 2*t[75] - 
       (4*t[76])/3 - (8*t[77])/3 - (4*t[78])/3 + 8*t[79] - 6*t[80] + 
       (7*t[81])/3 + (5*t[82])/3 + 5*t[83] + (313*t[84])/12 + (61*t[85])/4 + 
       (80*t[86])/3 - (209*t[87])/12 + (7*t[88])/24 + (31*t[89])/2 - 
       (20*t[95])/3 - 2*t[96] - t[97] - 8*t[98] - 12*t[99]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      ((-3*t[2])/16 + (5*t[3])/96 + (175*t[4])/192 + (131*t[5])/192 + 
       (343*t[6])/384 - (173*t[7])/96 + (3*t[8])/8 - (119*t[9])/192 + 
       (329*t[10])/384 - (403*t[11])/384 + (11*t[12])/128 + (107*t[13])/216 - 
       (859*t[14])/768 + (35*t[15])/192 + t[20]/24 + t[24]/8 - t[25]/8 + 
       t[26]/8 + (2*t[28])/3 + (11*t[29])/48 - (5*t[30])/24 - t[31]/24 + 
       t[33]/24 - (7*t[35])/12 - t[36]/4 + t[37]/8 + t[39]/4 - t[40]/4 - 
       t[43]/24 - (5*t[44])/8 + t[45]/12 - t[46]/32 - t[47]/6 + 
       (287*t[48])/384 - (3*t[49])/128 - (193*t[50])/384 + (163*t[51])/768 + 
       (193*t[52])/384 + (3*t[53])/128 + (41*t[54])/128 + t[59]/8 - 
       (53*t[60])/48 - (137*t[61])/48 + (449*t[62])/96 - (173*t[63])/96 - 
       (99*t[64])/32 + (175*t[65])/72 + (65*t[66])/24 + t[69]/4 - t[70]/8 + 
       t[71]/8 - t[73]/12 - t[74]/8 + 3*t[75] + t[76]/3 + t[77]/2 - t[78]/6 + 
       (13*t[79])/24 - t[80]/3 + t[81]/8 - t[82]/8 - (47*t[83])/16 + 
       (5*t[84])/12 + (7*t[85])/48 - (35*t[86])/8 - (79*t[87])/48 - 
       (79*t[88])/96 + (223*t[89])/96 + 2*t[98] - 2*t[99]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-2*t[3] - 20*t[4] + (59*t[5])/8 + (57*t[6])/8 - (29*t[7])/4 - 
       (37*t[8])/4 - (55*t[9])/8 - (27*t[10])/4 - (41*t[11])/8 + 
       (167*t[12])/8 + (83*t[13])/4 - (829*t[14])/24 + (233*t[15])/16 + 
       3*t[28] + 3*t[31] - 3*t[35] + 2*t[36] + 3*t[39] - 3*t[40] + 3*t[45] - 
       (11*t[46])/2 - 6*t[47] + (33*t[48])/8 - (25*t[49])/2 + (25*t[50])/8 + 
       (91*t[51])/8 - (25*t[52])/8 + (25*t[53])/2 - (73*t[54])/8 - 
       (9*t[60])/4 - (149*t[61])/4 + (217*t[62])/4 - (17*t[63])/4 + 
       (51*t[64])/8 + (539*t[65])/12 + (469*t[66])/12 + 40*t[73] + 3*t[74] - 
       55*t[75] + 3*t[77] + 3*t[78] + 5*t[79] - 6*t[80] - (11*t[81])/2 + 
       (11*t[82])/2 - 39*t[83] + (13*t[84])/2 - (5*t[85])/4 - 43*t[86] - 
       (23*t[87])/4 - (23*t[88])/8 + (213*t[89])/8 + 6*t[99]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      (5*t[4] - (71*t[5])/8 + (61*t[6])/2 - (179*t[7])/4 + (439*t[8])/4 - 
       (285*t[9])/8 + (57*t[10])/4 - (139*t[11])/4 - (21*t[12])/8 - 
       (9*t[13])/4 - (173*t[14])/8 + (341*t[15])/48 + t[28] + 12*t[29] - 
       12*t[30] - 3*t[32] + 3*t[33] - 3*t[35] - 3*t[36] - (3*t[43])/2 - 
       16*t[44] + 33*t[48] + t[49]/2 - 27*t[50] - t[51]/4 + 27*t[52] - 
       t[53]/2 + 32*t[54] - (9*t[60])/4 - (149*t[61])/4 + (217*t[62])/4 - 
       (17*t[63])/4 + (51*t[64])/8 + (539*t[65])/12 + (469*t[66])/12 + 
       40*t[73] + 3*t[74] - 55*t[75] + 3*t[77] + 3*t[78] + 5*t[79] - 
       6*t[80] - (11*t[81])/2 + (11*t[82])/2 - 39*t[83] + (13*t[84])/2 - 
       (5*t[85])/4 - 43*t[86] - (23*t[87])/4 - (23*t[88])/8 + (213*t[89])/8 + 
       6*t[99]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((-41*t[1])/12 + (31*t[2])/12 + (133*t[3])/8 + (23*t[4])/24 - 
       (777*t[5])/64 - (149*t[6])/32 + (267*t[7])/16 - (1393*t[8])/24 + 
       (3385*t[9])/192 - (1475*t[10])/48 + (111*t[11])/16 + 
       (2579*t[12])/192 + (1747*t[13])/432 - (311*t[14])/192 - 
       (3059*t[15])/384 - (3*t[17])/4 - (3*t[19])/2 - 4*t[20] + (3*t[21])/2 + 
       2*t[22] - (3*t[23])/2 + (3*t[26])/2 - (11*t[27])/6 - (35*t[28])/6 + 
       (23*t[29])/24 + (8*t[30])/3 - (25*t[31])/6 - (19*t[32])/4 - 7*t[33] + 
       (14*t[34])/3 - (3*t[35])/2 - 3*t[36] + t[37]/2 - (31*t[38])/12 - 
       t[39]/4 + (5*t[40])/8 - t[41]/12 + t[42]/12 - (35*t[43])/96 + 
       (41*t[44])/48 - (107*t[45])/8 - t[46] + (63*t[47])/4 - 
       (769*t[48])/96 - (129*t[49])/16 + (779*t[50])/96 + (77*t[51])/32 - 
       (523*t[52])/96 + (179*t[53])/48 - (1355*t[54])/96 - t[55]/4 + 
       t[56]/4 - t[57]/2 + t[58]/2 - (17*t[59])/24 - (43*t[60])/16 - 
       (173*t[61])/4 + (5249*t[62])/96 + (2531*t[63])/96 - (1333*t[64])/48 + 
       (1775*t[65])/72 + (671*t[66])/36 + (5*t[68])/2 - t[69] - 3*t[70] + 
       3*t[71] - (8*t[72])/3 + t[73]/2 - 5*t[74] - (17*t[75])/2 - 
       (43*t[76])/6 + (7*t[77])/3 + (121*t[78])/12 + 15*t[79] + 
       (71*t[80])/12 + (73*t[81])/12 - (13*t[82])/4 - 9*t[83] + 
       (637*t[84])/48 + (761*t[85])/48 - (353*t[86])/24 - (71*t[87])/24 - 
       (719*t[88])/48 + (23*t[89])/96 + t[91]/24 - t[93]/2 + 3*t[95] - 
       (7*t[96])/2 - (73*t[97])/12 - 19*t[98] + 14*t[99]) + 
     HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - v]*(-454*t[1] - (425*t[3])/2 - 80*t[4] + 
       65*t[5] - (1275*t[6])/4 + 875*t[7] - 1475*t[8] + (1075*t[9])/2 - 
       535*t[10] - (225*t[11])/4 + 920*t[12] + (3085*t[13])/3 - 
       (985*t[14])/4 + (325*t[15])/2 - 40*t[16] + 260*t[25] - 80*t[26] - 
       225*t[29] - 60*t[30] + 1000*t[36] + 360*t[37] - 145*t[38] + 15*t[39] - 
       15*t[40] + 570*t[44] - 260*t[46] - (1125*t[48])/4 - 15*t[49] + 
       (1255*t[50])/4 + (405*t[51])/2 - (1255*t[52])/4 + 15*t[53] - 
       (1615*t[54])/4 + 335*t[59] + (1335*t[60])/2 - (595*t[61])/2 + 
       (1885*t[62])/4 - (1925*t[63])/4 - (6495*t[64])/4 + (3665*t[65])/2 - 
       (10475*t[66])/6 + 40*t[67] - 120*t[69] - 360*t[70] + 360*t[71] + 
       480*t[73] - 560*t[74] - 640*t[75] + 390*t[76] - 450*t[78] + 
       440*t[79] + 130*t[81] - 100*t[82] - 720*t[83] + (875*t[84])/2 + 
       (415*t[85])/2 - 680*t[86] - (215*t[87])/2 - (215*t[88])/4 + 
       (1365*t[89])/4 - 1440*t[100]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w]*
      (-1200*t[2] - 190*t[3] + (515*t[4])/2 - 210*t[5] + 370*t[6] - 
       810*t[7] + 1870*t[8] + 395*t[9] + (1185*t[10])/4 + 25*t[11] + 
       (1425*t[12])/4 + (3925*t[13])/6 + (2855*t[14])/8 + (1195*t[15])/4 - 
       120*t[18] + 360*t[28] - 70*t[29] - 240*t[30] - 240*t[32] + 120*t[33] - 
       1240*t[35] + 45*t[37] - 240*t[44] + 375*t[48] - (665*t[49])/4 - 
       255*t[50] - (505*t[51])/8 + 255*t[52] + (665*t[53])/4 + 
       (335*t[54])/2 + 335*t[59] + (1335*t[60])/2 - (595*t[61])/2 + 
       (1885*t[62])/4 - (1925*t[63])/4 - (6495*t[64])/4 + (3665*t[65])/2 - 
       (10475*t[66])/6 + 40*t[67] - 120*t[69] - 360*t[70] + 360*t[71] + 
       480*t[73] - 560*t[74] - 640*t[75] + 390*t[76] - 450*t[78] + 
       440*t[79] + 130*t[81] - 100*t[82] - 720*t[83] + (875*t[84])/2 + 
       (415*t[85])/2 - 680*t[86] - (215*t[87])/2 - (215*t[88])/4 + 
       (1365*t[89])/4 - 1440*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*(-27*t[1] + (297*t[2])/2 - 227*t[3] - 
       675*t[4] - (595*t[5])/4 + (317*t[6])/4 + (1221*t[7])/2 - 
       (921*t[8])/2 + (3335*t[9])/4 - 552*t[10] + (1493*t[11])/4 + 
       (2365*t[12])/4 + (29*t[13])/6 + (6719*t[14])/12 - (79*t[15])/8 + 
       40*t[16] - 56*t[25] + 56*t[26] + 120*t[29] - 12*t[30] + 184*t[34] + 
       8*t[36] - 54*t[38] + 24*t[39] - 125*t[40] + 153*t[44] - 189*t[45] + 
       88*t[46] + 135*t[47] - (1065*t[48])/4 - (351*t[49])/2 - 
       (177*t[50])/4 - (381*t[51])/4 + (705*t[52])/4 + (291*t[53])/2 + 
       (93*t[54])/4 - (27*t[59])/2 + (963*t[60])/2 + (919*t[61])/2 - 
       (1301*t[62])/4 + (2133*t[63])/4 - (2089*t[64])/4 - (4289*t[65])/6 - 
       (6449*t[66])/6 + 56*t[69] - 232*t[73] + 96*t[74] + 472*t[75] - 
       83*t[76] + 308*t[78] + 56*t[79] + 210*t[80] + 73*t[81] + 67*t[82] + 
       124*t[83] - (175*t[84])/2 + (341*t[85])/2 + 392*t[86] - 
       (953*t[87])/2 - (1433*t[88])/4 - (2389*t[89])/4 + 27*t[97] + 
       432*t[98] - 240*t[99] - 1044*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*((27*t[1])/2 + (621*t[2])/2 + 
       (629*t[3])/2 + (1053*t[4])/2 + (1591*t[5])/4 - (209*t[6])/2 + 
       (45*t[7])/2 - (37*t[8])/2 - (619*t[9])/4 - (2185*t[10])/4 + 
       656*t[11] - 175*t[12] + (3959*t[13])/12 - (3*t[14])/8 + 
       (1823*t[15])/24 - 8*t[19] - 24*t[20] + 48*t[22] - 81*t[26] - 
       336*t[28] - 16*t[29] + 96*t[30] - 120*t[33] + 27*t[34] + 160*t[35] - 
       102*t[37] + 54*t[38] + 54*t[40] - (75*t[41])/2 + (75*t[42])/2 + 
       192*t[44] - 48*t[47] - (267*t[48])/2 + (583*t[49])/4 - (315*t[50])/2 - 
       (373*t[51])/8 + (45*t[52])/2 - (615*t[53])/4 - 51*t[54] - 27*t[58] - 
       (27*t[59])/2 + (963*t[60])/2 + (919*t[61])/2 - (1301*t[62])/4 + 
       (2133*t[63])/4 - (2089*t[64])/4 - (4289*t[65])/6 - (6449*t[66])/6 + 
       56*t[69] - 232*t[73] + 96*t[74] + 472*t[75] - 83*t[76] + 308*t[78] + 
       56*t[79] + 210*t[80] + 73*t[81] + 67*t[82] + 124*t[83] - 
       (175*t[84])/2 + (341*t[85])/2 + 392*t[86] - (953*t[87])/2 - 
       (1433*t[88])/4 - (2389*t[89])/4 + 27*t[97] + 432*t[98] - 240*t[99] - 
       1044*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (8*t[1] - 7*t[2] - 65*t[3] - (207*t[4])/2 - (123*t[5])/4 + 
       (751*t[6])/16 + (991*t[7])/4 + (1377*t[8])/4 - (369*t[9])/8 - 
       (365*t[10])/4 + (337*t[11])/16 + (161*t[12])/4 + (1823*t[13])/36 - 
       (8365*t[14])/48 + (18581*t[15])/144 + 8*t[27] + 72*t[28] + 
       (37*t[29])/2 + 33*t[30] - 4*t[31] + 8*t[32] - 8*t[33] - 8*t[34] + 
       18*t[36] + 4*t[38] + (23*t[39])/2 + 10*t[40] + 4*t[41] - 4*t[42] - 
       8*t[43] + (61*t[44])/2 + 15*t[46] + 8*t[47] + (837*t[48])/16 - 
       (263*t[49])/4 - (19*t[50])/16 + (277*t[51])/8 - (109*t[52])/16 + 
       (327*t[53])/4 + (1359*t[54])/16 + 4*t[59] - (3363*t[60])/8 + 
       (4421*t[61])/8 - (951*t[62])/16 - (569*t[63])/16 + (8361*t[64])/16 + 
       (4603*t[65])/8 + (4955*t[66])/24 + 60*t[68] - 64*t[72] + 324*t[73] - 
       228*t[75] + 35*t[76] + 28*t[77] - 52*t[78] - 12*t[79] + 16*t[80] - 
       16*t[81] + 27*t[82] - 168*t[83] - (491*t[84])/8 - (1351*t[85])/8 - 
       8*t[86] + (3017*t[87])/8 + (3017*t[88])/16 + (2535*t[89])/16 + 
       24*t[96] + 16*t[97] + 624*t[98] - 336*t[99] - 954*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*(8*t[1] - 25*t[2] - 
       66*t[3] - (2111*t[4])/8 + 131*t[5] + (267*t[6])/2 - 132*t[7] + 
       (979*t[8])/2 - 193*t[9] - (2773*t[10])/16 - 43*t[11] + 
       (1583*t[12])/16 + (301*t[13])/72 - (547*t[14])/96 + (5015*t[15])/48 - 
       14*t[27] + 52*t[28] - 16*t[29] - 26*t[30] - 4*t[31] - 8*t[34] + 
       96*t[35] + 6*t[36] + 4*t[38] + 12*t[39] + 4*t[40] + 4*t[41] - 
       4*t[42] - 8*t[43] - 92*t[44] - 18*t[46] + 209*t[48] - (639*t[49])/16 - 
       139*t[50] + (819*t[51])/32 + 131*t[52] + (895*t[53])/16 + 
       (995*t[54])/8 + 4*t[59] - (3363*t[60])/8 + (4421*t[61])/8 - 
       (951*t[62])/16 - (569*t[63])/16 + (8361*t[64])/16 + (4603*t[65])/8 + 
       (4955*t[66])/24 + 60*t[68] - 64*t[72] + 324*t[73] - 228*t[75] + 
       35*t[76] + 28*t[77] - 52*t[78] - 12*t[79] + 16*t[80] - 16*t[81] + 
       27*t[82] - 168*t[83] - (491*t[84])/8 - (1351*t[85])/8 - 8*t[86] + 
       (3017*t[87])/8 + (3017*t[88])/16 + (2535*t[89])/16 + 24*t[96] + 
       16*t[97] + 624*t[98] - 336*t[99] - 954*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (9*t[2] - 62*t[3] - (219*t[4])/2 - 33*t[5] + (175*t[6])/2 + 159*t[7] + 
       360*t[8] - 50*t[9] - (605*t[10])/4 + 31*t[11] + (63*t[12])/4 + 
       23*t[13] - (529*t[14])/8 + (1325*t[15])/12 - 12*t[27] + 36*t[28] - 
       4*t[31] + 48*t[35] + 18*t[36] - 8*t[43] - 6*t[46] + (153*t[48])/2 - 
       (155*t[49])/4 - (35*t[50])/2 + (279*t[51])/8 + (35*t[52])/2 + 
       (155*t[53])/4 + 109*t[54] - 368*t[60] + 592*t[61] - (135*t[62])/2 - 
       (209*t[63])/2 + 413*t[64] + (1409*t[65])/3 + (305*t[66])/3 + 
       72*t[68] - 24*t[72] + 180*t[73] - 384*t[75] - 120*t[76] - 4*t[77] - 
       36*t[79] + 12*t[81] + 44*t[82] + 4*t[84] - 118*t[85] + 104*t[86] + 
       334*t[87] + 167*t[88] - 5*t[89] + 192*t[98] - 624*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-22*t[1])/3 - (281*t[2])/24 - (59*t[3])/2 + (113*t[4])/3 - 
       (27*t[5])/2 + 28*t[6] + (571*t[7])/16 + (2687*t[8])/48 + 
       (2723*t[9])/48 - (3241*t[10])/48 + (2217*t[11])/16 + (88*t[12])/3 + 
       (46759*t[13])/864 + (2009*t[14])/16 - (343*t[15])/288 - 4*t[16] - 
       (13*t[17])/4 - t[18] + 5*t[19] - 19*t[20] + 4*t[21] + 2*t[22] - 
       4*t[23] + 13*t[24] + (21*t[25])/2 - 10*t[26] - (19*t[27])/6 - 
       (5*t[28])/3 + (17*t[29])/3 + (10*t[30])/3 + (5*t[31])/3 + t[32] - 
       t[33] + (41*t[34])/6 - 2*t[35] - 2*t[36] + 4*t[37] - (8*t[38])/3 + 
       2*t[39] + (13*t[40])/2 + (4*t[41])/3 - (4*t[42])/3 + (109*t[43])/48 - 
       (49*t[44])/6 - (15*t[45])/8 - 10*t[46] + (17*t[47])/4 - 
       (451*t[48])/48 + (61*t[49])/2 - (1531*t[50])/48 - (5*t[51])/2 + 
       (515*t[52])/48 - (187*t[53])/6 + (643*t[54])/48 + 4*t[57] - 2*t[58] + 
       (22*t[59])/3 + (297*t[60])/2 + (1295*t[61])/4 - (388*t[62])/3 + 
       (853*t[63])/6 + (797*t[64])/24 - (2261*t[65])/18 - (6349*t[66])/18 + 
       4*t[67] + 14*t[68] + t[69] - 5*t[70] + 5*t[71] + (2*t[72])/3 + 
       16*t[73] + 11*t[74] - 32*t[75] + (77*t[76])/3 - (49*t[77])/3 - 
       (31*t[78])/3 + 12*t[79] + (85*t[80])/3 + (110*t[81])/3 - 34*t[82] + 
       18*t[83] + (53*t[84])/3 + (61*t[85])/3 + (287*t[86])/6 - 
       (781*t[87])/6 - (781*t[88])/12 - (725*t[89])/6 + (5*t[92])/2 - 
       2*t[93] - (5*t[94])/2 + 2*t[96] + (13*t[97])/3 + 148*t[98] - 
       74*t[99] - 581*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-14*t[1])/3 - (361*t[2])/24 - (107*t[3])/6 + 
       (283*t[4])/4 - (1261*t[5])/12 - (445*t[6])/48 + (3569*t[7])/48 - 
       (1067*t[8])/16 + (5897*t[9])/48 - (5251*t[10])/48 + (2695*t[11])/12 + 
       (1291*t[12])/24 + (38579*t[13])/864 + (12761*t[14])/144 - 
       (15127*t[15])/864 - 4*t[16] - (5*t[17])/4 + t[18] + 2*t[19] - 
       11*t[20] - 7*t[21] - 10*t[22] + 7*t[23] - 5*t[24] + (9*t[25])/2 - 
       5*t[26] - (67*t[27])/6 - 17*t[28] - (25*t[29])/6 - 15*t[30] - 
       (20*t[31])/3 - (11*t[32])/3 - (7*t[33])/3 + (61*t[34])/6 + 14*t[35] - 
       12*t[36] - 8*t[37] - (19*t[38])/3 - (23*t[39])/6 - t[40]/2 - 
       (11*t[41])/6 + (10*t[42])/3 + (65*t[43])/48 + (47*t[44])/6 - 
       (59*t[45])/8 - (3*t[46])/2 + (115*t[47])/12 - (311*t[48])/8 + 
       (559*t[49])/24 + (335*t[50])/24 - (395*t[51])/48 - (475*t[52])/24 - 
       (197*t[53])/8 - (189*t[54])/8 + t[58] + (43*t[59])/6 + 
       (1045*t[60])/8 + (2327*t[61])/8 - (5777*t[62])/48 + (6313*t[63])/48 + 
       (1745*t[64])/48 - (8521*t[65])/72 - (24851*t[66])/72 + 4*t[67] + 
       14*t[68] - t[69] - 5*t[70] + 5*t[71] + (4*t[72])/3 + 10*t[73] + 
       11*t[74] - 30*t[75] + (34*t[76])/3 - (59*t[77])/3 + (13*t[78])/3 + 
       14*t[79] + (83*t[80])/3 + (94*t[81])/3 - 31*t[82] + 21*t[83] + 
       (623*t[84])/24 + (415*t[85])/24 + (379*t[86])/6 - (2717*t[87])/24 - 
       (2717*t[88])/48 - (6191*t[89])/48 + (5*t[92])/2 - 2*t[93] - 
       (5*t[94])/2 - 2*t[96] + (2*t[97])/3 + 56*t[98] + 18*t[99] - 
       567*t[100]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((11*t[1])/6 + (179*t[2])/6 - (1799*t[3])/24 - (37*t[4])/12 - 
       (1313*t[5])/24 + (185*t[6])/6 + (99*t[7])/4 + (1649*t[8])/12 + 
       (573*t[9])/8 - (1991*t[10])/24 + (611*t[11])/12 + (65*t[12])/2 + 
       (1211*t[13])/216 + (5501*t[14])/48 + (389*t[15])/36 + (28*t[19])/3 - 
       20*t[20] + 8*t[21] - 8*t[23] + 6*t[24] - (20*t[27])/3 + 8*t[28] - 
       (9*t[29])/2 + 4*t[30] - 4*t[31] + (27*t[32])/2 - 10*t[33] + 
       (29*t[34])/3 - 8*t[35] - 4*t[36] - (28*t[37])/3 - (4*t[38])/3 + 
       (32*t[39])/3 + 3*t[40] + (43*t[41])/6 - (43*t[42])/6 - t[43]/4 - 
       (47*t[44])/4 - 13*t[45] + (2*t[46])/3 + 6*t[47] + (323*t[48])/12 - 
       (39*t[49])/8 - (85*t[50])/12 + (47*t[51])/48 + (43*t[52])/4 + 
       (181*t[53])/24 + (637*t[54])/12 - t[55] - 4*t[57] + (11*t[59])/3 + 
       (637*t[60])/12 + (751*t[61])/3 - (235*t[62])/2 - 13*t[63] + 
       (225*t[64])/2 - (332*t[65])/9 - (1501*t[66])/9 + 2*t[68] - 16*t[69] + 
       4*t[70] - 4*t[71] + 20*t[72] + 6*t[73] + 18*t[74] - 26*t[75] + 
       10*t[76] - (32*t[77])/3 - 10*t[78] + 24*t[79] + (200*t[80])/3 + 
       (22*t[81])/3 + (19*t[82])/3 + 22*t[83] + (77*t[84])/3 - 
       (199*t[85])/6 + 57*t[86] + 23*t[87] + (157*t[88])/6 - (525*t[89])/8 - 
       2*t[93] - 8*t[95] + (20*t[97])/3 + 48*t[99] - 538*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((29*t[1])/6 + (5*t[2])/6 - (55*t[3])/4 - (79*t[4])/4 + (529*t[5])/24 - 
       (65*t[6])/8 + (245*t[7])/12 - (59*t[8])/12 - (1087*t[9])/24 - 
       (127*t[10])/6 + (971*t[11])/8 - (437*t[12])/24 + (11861*t[13])/216 + 
       (2159*t[14])/48 + (12227*t[15])/432 + 4*t[25] - 5*t[26] - 2*t[28] - 
       (7*t[29])/3 - 10*t[30] - 16*t[31] - (2*t[32])/3 + (2*t[33])/3 - 
       t[34]/3 - 8*t[35] - 8*t[36] - 18*t[37] + (2*t[38])/3 + (16*t[39])/3 + 
       5*t[40] + t[41]/6 - t[42]/6 + (15*t[43])/2 + (5*t[44])/2 + 
       (13*t[45])/2 - 3*t[46] - (41*t[47])/3 + (17*t[48])/24 - (25*t[49])/3 - 
       (19*t[50])/24 + (63*t[51])/16 - (277*t[52])/24 - (47*t[53])/6 - 
       (503*t[54])/24 - t[58] + (11*t[59])/3 + (637*t[60])/12 + 
       (751*t[61])/3 - (235*t[62])/2 - 13*t[63] + (225*t[64])/2 - 
       (332*t[65])/9 - (1501*t[66])/9 + 2*t[68] - 16*t[69] + 4*t[70] - 
       4*t[71] + 20*t[72] + 6*t[73] + 18*t[74] - 26*t[75] + 10*t[76] - 
       (32*t[77])/3 - 10*t[78] + 24*t[79] + (200*t[80])/3 + (22*t[81])/3 + 
       (19*t[82])/3 + 22*t[83] + (77*t[84])/3 - (199*t[85])/6 + 57*t[86] + 
       23*t[87] + (157*t[88])/6 - (525*t[89])/8 - 2*t[93] - 8*t[95] + 
       (20*t[97])/3 + 48*t[99] - 538*t[100]) + 
     HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - v]*(-118*t[1] - (361*t[3])/4 - 112*t[4] - 
       (41*t[5])/2 - (623*t[6])/8 + (567*t[7])/2 - (827*t[8])/2 + 
       (887*t[9])/4 - 189*t[10] + (803*t[11])/8 + (601*t[12])/2 + 
       (1151*t[13])/3 - (1961*t[14])/24 + (289*t[15])/4 - 8*t[16] + 
       104*t[25] - 46*t[26] - (137*t[29])/2 - 22*t[30] + 288*t[36] + 
       96*t[37] - (87*t[38])/2 + (11*t[39])/2 - (11*t[40])/2 + 183*t[44] - 
       48*t[46] - (529*t[48])/8 - 37*t[49] + (731*t[50])/8 + (109*t[51])/2 - 
       (731*t[52])/8 + 37*t[53] - (899*t[54])/8 + 91*t[59] + (855*t[60])/4 + 
       (231*t[61])/4 + (893*t[62])/8 - (3285*t[63])/8 - (2579*t[64])/8 + 
       (8411*t[65])/12 - (8483*t[66])/12 + 8*t[67] - 48*t[69] - 96*t[70] + 
       96*t[71] + 192*t[73] - 112*t[74] - 256*t[75] + 143*t[76] - 165*t[78] + 
       176*t[79] + 51*t[81] - 40*t[82] - 288*t[83] + (683*t[84])/4 + 
       (331*t[85])/4 - 272*t[86] - (47*t[87])/4 - (47*t[88])/8 + 
       (1349*t[89])/8 - 504*t[100]) + HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w]*
      (-324*t[2] - 64*t[3] + (423*t[4])/4 - 14*t[5] + (337*t[6])/2 - 
       386*t[7] + 662*t[8] + (267*t[9])/2 + (1013*t[10])/8 + 18*t[11] + 
       (701*t[12])/8 + (3127*t[13])/12 + (4105*t[14])/48 + (1417*t[15])/24 - 
       16*t[18] + 144*t[28] - 6*t[29] - 96*t[30] - 96*t[32] + 48*t[33] - 
       424*t[35] + (25*t[37])/2 - 96*t[44] + 181*t[48] - (429*t[49])/8 - 
       133*t[50] - (325*t[51])/16 + 133*t[52] + (429*t[53])/8 + 
       (393*t[54])/4 + 91*t[59] + (855*t[60])/4 + (231*t[61])/4 + 
       (893*t[62])/8 - (3285*t[63])/8 - (2579*t[64])/8 + (8411*t[65])/12 - 
       (8483*t[66])/12 + 8*t[67] - 48*t[69] - 96*t[70] + 96*t[71] + 
       192*t[73] - 112*t[74] - 256*t[75] + 143*t[76] - 165*t[78] + 
       176*t[79] + 51*t[81] - 40*t[82] - 288*t[83] + (683*t[84])/4 + 
       (331*t[85])/4 - 272*t[86] - (47*t[87])/4 - (47*t[88])/8 + 
       (1349*t[89])/8 - 504*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*((-37*t[1])/6 + (41*t[2])/3 - 
       (179*t[3])/12 + (289*t[4])/12 - (973*t[5])/24 - (737*t[6])/24 + 
       (2281*t[7])/24 + (997*t[8])/24 + 136*t[9] - (655*t[10])/4 + 
       (2641*t[11])/12 + (251*t[12])/12 + (35273*t[13])/432 + 
       (14335*t[14])/144 - (985*t[15])/36 - 2*t[16] - (8*t[18])/3 - 5*t[20] - 
       2*t[21] + (11*t[22])/3 + 2*t[23] - 2*t[24] + (13*t[25])/3 - 
       (22*t[26])/3 - (19*t[27])/3 + (46*t[28])/3 + (32*t[29])/3 - 
       (23*t[30])/3 - (38*t[31])/3 - 2*t[32] - (7*t[33])/3 + (2*t[34])/3 + 
       8*t[35] - 4*t[36] - t[38] + (25*t[39])/3 + 6*t[40] - (7*t[41])/6 + 
       t[42]/6 + (45*t[43])/8 - (62*t[44])/3 + (5*t[45])/4 - (31*t[46])/3 + 
       (185*t[47])/6 + (151*t[48])/12 + (259*t[49])/24 - (75*t[50])/4 + 
       (463*t[51])/48 + (35*t[52])/4 - (307*t[53])/24 + (25*t[54])/2 - 
       2*t[58] - (16*t[59])/3 + (139*t[60])/2 + (844*t[61])/3 - 
       (4493*t[62])/12 + (2783*t[63])/12 + (721*t[64])/2 + (25*t[65])/18 - 
       456*t[66] + 10*t[68] - 10*t[69] + 4*t[70] - 4*t[71] + 40*t[72] - 
       38*t[73] + (16*t[74])/3 + 30*t[75] + 12*t[76] - (16*t[77])/3 + 
       46*t[78] - 12*t[79] + (202*t[80])/3 + (26*t[81])/3 - (62*t[82])/3 - 
       15*t[83] + 15*t[84] - 33*t[85] + 234*t[86] - (107*t[87])/3 - 
       (107*t[88])/6 - (629*t[89])/12 + t[92]/3 + 4*t[93] - 4*t[97] + 
       72*t[98] - 467*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*(-2*t[1] + (59*t[2])/4 + (61*t[3])/3 + 
       11*t[4] - (851*t[5])/12 + (181*t[6])/6 + (281*t[7])/24 - 
       (25*t[8])/24 + (251*t[9])/8 - (1253*t[10])/24 + (823*t[11])/24 + 
       (335*t[12])/12 - (6239*t[13])/144 + (2569*t[14])/72 - 
       (4309*t[15])/144 - (7*t[17])/2 - 8*t[18] + 36*t[20] - 2*t[21] - 
       2*t[22] + 2*t[23] + 2*t[24] - t[25] + 4*t[26] - 7*t[27] + 
       (118*t[28])/3 - (46*t[29])/3 - (50*t[30])/3 + 20*t[31] - 2*t[32] + 
       5*t[34] - 4*t[38] + 16*t[39] - 19*t[40] - 2*t[41] + t[42] + 
       (19*t[43])/8 - (41*t[44])/3 - (67*t[45])/4 - t[46] + (41*t[47])/2 - 
       (17*t[48])/8 + (21*t[49])/2 + (197*t[50])/24 - (55*t[51])/4 + 
       (595*t[52])/24 - (21*t[53])/2 + (115*t[54])/24 - 8*t[57] + 5*t[59] + 
       (109*t[60])/3 + (169*t[61])/6 + (13*t[62])/6 + (29*t[63])/2 - 
       (871*t[64])/12 - (271*t[65])/9 + (8*t[66])/3 + 16*t[69] + 4*t[70] - 
       4*t[71] + 2*t[73] + 2*t[74] + 10*t[75] - 4*t[76] + 4*t[77] + 4*t[78] - 
       2*t[79] - 14*t[80] + 2*t[81] - (40*t[83])/3 + (13*t[84])/3 + 
       (13*t[85])/3 - (107*t[86])/3 - 15*t[87] - (15*t[88])/2 + 
       (13*t[89])/3 - t[92] + t[94] - 216*t[98] + 348*t[99] - 460*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      (-4*t[1] - (21*t[2])/4 - 52*t[3] + (101*t[4])/6 + (655*t[5])/12 + 
       t[6]/4 - (523*t[7])/24 + (347*t[8])/24 - (503*t[9])/24 + 
       (2693*t[10])/24 - (369*t[11])/8 - (63*t[12])/2 + (5585*t[13])/144 - 
       (131*t[14])/36 + (5743*t[15])/144 + (5*t[17])/2 - 2*t[18] - 8*t[19] - 
       36*t[20] - 2*t[21] + 2*t[22] + 2*t[23] - 8*t[24] + 3*t[25] - 4*t[26] + 
       5*t[27] - 32*t[28] + 18*t[29] + 14*t[30] - 4*t[31] + 2*t[32] - 
       4*t[33] - 9*t[34] - 2*t[36] + 2*t[38] - 12*t[39] + 19*t[40] - t[42] + 
       (31*t[43])/8 + 7*t[44] + (73*t[45])/4 - 4*t[46] - (59*t[47])/2 + 
       (45*t[48])/8 - (5*t[49])/12 - (123*t[50])/8 + (89*t[51])/8 - 
       (109*t[52])/8 + (5*t[53])/12 - (107*t[54])/24 + 8*t[57] + 5*t[59] + 
       (109*t[60])/3 + (169*t[61])/6 + (13*t[62])/6 + (29*t[63])/2 - 
       (871*t[64])/12 - (271*t[65])/9 + (8*t[66])/3 + 16*t[69] + 4*t[70] - 
       4*t[71] + 2*t[73] + 2*t[74] + 10*t[75] - 4*t[76] + 4*t[77] + 4*t[78] - 
       2*t[79] - 14*t[80] + 2*t[81] - (40*t[83])/3 + (13*t[84])/3 + 
       (13*t[85])/3 - (107*t[86])/3 - 15*t[87] - (15*t[88])/2 + 
       (13*t[89])/3 - t[92] + t[94] - 216*t[98] + 348*t[99] - 460*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u]*(-t[1]/6 + (43*t[2])/12 - 
       (43*t[3])/3 - (33*t[4])/2 + (779*t[5])/48 + (4453*t[6])/96 + 
       (365*t[7])/12 + (289*t[8])/2 - (73*t[9])/3 - (1727*t[10])/24 + 
       (707*t[11])/96 + (899*t[12])/48 + (32335*t[13])/432 - 
       (17699*t[14])/288 + (16729*t[15])/432 + t[18] - t[22] + (4*t[27])/3 + 
       25*t[28] + (19*t[29])/12 + (21*t[30])/2 - (2*t[31])/3 - (23*t[32])/3 - 
       (4*t[33])/3 + (5*t[34])/3 - 6*t[35] + 15*t[36] - t[37] + (2*t[38])/3 + 
       (29*t[39])/12 + t[40] + t[41]/6 - t[42]/6 + (2*t[43])/3 + 
       (31*t[44])/12 + 2*t[45] + (3*t[46])/2 - (5*t[47])/3 + (593*t[48])/32 - 
       (70*t[49])/3 - (3109*t[50])/96 + (335*t[51])/24 + (2597*t[52])/96 + 
       26*t[53] + (1155*t[54])/32 - (5*t[59])/6 - (159*t[60])/16 + 
       (2065*t[61])/16 + (6455*t[62])/96 - (8791*t[63])/96 + 
       (14155*t[64])/96 + (25147*t[65])/144 - (1855*t[66])/144 + 16*t[68] - 
       2*t[69] - 2*t[70] + 2*t[71] - (68*t[72])/3 + 117*t[73] - 2*t[74] - 
       76*t[75] + (58*t[76])/3 + (77*t[77])/6 - (14*t[78])/3 + t[79] + 
       (26*t[80])/3 + (83*t[81])/6 + (31*t[82])/2 - 98*t[83] + 
       (187*t[84])/48 - (1261*t[85])/48 - (85*t[86])/3 + (3491*t[87])/48 + 
       (2579*t[88])/96 + (7649*t[89])/96 + 4*t[95] + 6*t[96] + (2*t[97])/3 + 
       266*t[98] - 110*t[99] - 427*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((11*t[1])/6 - (35*t[2])/12 - 
       (171*t[3])/8 - (2801*t[4])/48 + (581*t[5])/16 + 76*t[6] - 
       (235*t[7])/8 + (5273*t[8])/24 - (1079*t[9])/48 - (12667*t[10])/96 - 
       (183*t[11])/8 + (3799*t[12])/96 + (13129*t[13])/432 - 
       (1061*t[14])/64 + (1213*t[15])/48 + 2*t[25] - 2*t[26] + (14*t[27])/3 + 
       (92*t[28])/3 - (2*t[29])/3 - (58*t[30])/3 - (8*t[31])/3 - 
       (4*t[34])/3 + 30*t[35] + 2*t[36] + 3*t[37] + (2*t[38])/3 + 15*t[39] - 
       6*t[40] + t[41]/6 - t[42]/6 - (10*t[43])/3 - (115*t[44])/3 - 5*t[45] - 
       (19*t[46])/2 + 10*t[47] + (575*t[48])/6 - (255*t[49])/32 - 
       (349*t[50])/6 + (1435*t[51])/64 + (365*t[52])/6 + (1837*t[53])/96 + 
       (2789*t[54])/48 - (5*t[59])/6 - (159*t[60])/16 + (2065*t[61])/16 + 
       (6455*t[62])/96 - (8791*t[63])/96 + (14155*t[64])/96 + 
       (25147*t[65])/144 - (1855*t[66])/144 + 16*t[68] - 2*t[69] - 2*t[70] + 
       2*t[71] - (68*t[72])/3 + 117*t[73] - 2*t[74] - 76*t[75] + 
       (58*t[76])/3 + (77*t[77])/6 - (14*t[78])/3 + t[79] + (26*t[80])/3 + 
       (83*t[81])/6 + (31*t[82])/2 - 98*t[83] + (187*t[84])/48 - 
       (1261*t[85])/48 - (85*t[86])/3 + (3491*t[87])/48 + (2579*t[88])/96 + 
       (7649*t[89])/96 + 4*t[95] + 6*t[96] + (2*t[97])/3 + 266*t[98] - 
       110*t[99] - 427*t[100]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(2*t[1] - t[2] - 35*t[3] + 79*t[4] - 
       (993*t[5])/8 + (465*t[6])/4 + (415*t[7])/2 - (129*t[8])/2 + 
       (1339*t[9])/8 - (571*t[10])/4 + 226*t[11] + (603*t[12])/8 + 
       (217*t[13])/6 + (1703*t[14])/6 + (625*t[15])/48 - 7*t[17] + 7*t[19] + 
       68*t[20] - 6*t[21] - 40*t[22] + 6*t[23] - 22*t[24] - 40*t[27] - 
       16*t[28] + 7*t[29] - 58*t[30] - 26*t[33] + 8*t[34] + 14*t[35] - 
       8*t[36] - 21*t[37] - 2*t[38] + 14*t[39] - 11*t[40] + 6*t[41] - 
       6*t[42] + (7*t[43])/4 - (23*t[44])/2 - 55*t[45] - 16*t[46] + 
       88*t[47] - (115*t[48])/4 + (85*t[49])/4 + (117*t[50])/4 - 
       (17*t[51])/8 - (93*t[52])/4 - (53*t[53])/4 - (17*t[54])/4 - 
       (3*t[55])/2 - 4*t[56] - 4*t[57] + 13*t[59] + (689*t[60])/2 + 
       (1265*t[61])/2 - (709*t[62])/2 - (23*t[63])/2 - (747*t[64])/4 - 
       (775*t[65])/6 - (905*t[66])/3 + 14*t[68] + 8*t[69] + 58*t[72] - 
       32*t[73] - 16*t[74] + 52*t[75] - (39*t[76])/2 + (61*t[78])/2 - 
       20*t[79] + 82*t[80] + 45*t[81] - 82*t[82] - 58*t[83] + (135*t[84])/2 - 
       (123*t[85])/2 + 57*t[86] - (453*t[87])/2 - (449*t[88])/4 - 115*t[89] + 
       t[91]/3 + 8*t[93] + 12*t[96] + 10*t[97] + 48*t[98] - 24*t[99] - 
       403*t[100]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-t[1] - 7*t[2] - (305*t[3])/4 + 112*t[4] + (409*t[5])/8 + 104*t[6] + 
       (25*t[7])/4 + (269*t[8])/4 + (695*t[9])/8 + (203*t[10])/2 + 
       198*t[11] - (415*t[12])/8 + (971*t[13])/24 + (1749*t[14])/8 + 
       (10165*t[15])/144 + 8*t[16] - 8*t[25] - 16*t[26] - 30*t[27] + 
       28*t[28] + 7*t[29] - 13*t[30] - 6*t[31] - 2*t[34] - 18*t[35] + 
       24*t[36] - 10*t[37] - 4*t[38] - (3*t[39])/2 - t[40] + t[41] - t[42] + 
       (21*t[43])/2 - 9*t[44] - (3*t[45])/2 - 22*t[46] + 3*t[47] + 
       (123*t[48])/4 + (15*t[49])/4 - (39*t[50])/4 + (55*t[51])/2 - 
       (17*t[52])/4 - (51*t[53])/4 + t[54]/4 - 2*t[58] + 13*t[59] + 
       (689*t[60])/2 + (1265*t[61])/2 - (709*t[62])/2 - (23*t[63])/2 - 
       (747*t[64])/4 - (775*t[65])/6 - (905*t[66])/3 + 14*t[68] + 8*t[69] + 
       58*t[72] - 32*t[73] - 16*t[74] + 52*t[75] - (39*t[76])/2 + 
       (61*t[78])/2 - 20*t[79] + 82*t[80] + 45*t[81] - 82*t[82] - 58*t[83] + 
       (135*t[84])/2 - (123*t[85])/2 + 57*t[86] - (453*t[87])/2 - 
       (449*t[88])/4 - 115*t[89] + t[91]/3 + 8*t[93] + 12*t[96] + 10*t[97] + 
       48*t[98] - 24*t[99] - 403*t[100]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*(-t[1]/4 - 50*t[2] + (207*t[3])/8 + 
       (235*t[4])/2 - (881*t[5])/16 - (215*t[6])/8 + (215*t[7])/16 - 
       (1103*t[8])/16 + (55*t[9])/2 - (145*t[10])/16 + (2757*t[11])/16 + 
       (221*t[12])/16 + (10937*t[13])/288 + (779*t[14])/12 - 
       (1091*t[15])/144 - 4*t[16] - (7*t[17])/2 + 5*t[18] + t[19] - 
       13*t[20] - 8*t[21] + 2*t[22] + 12*t[23] - 4*t[24] + (23*t[25])/2 - 
       (15*t[26])/2 - (7*t[27])/2 - 4*t[28] + (5*t[29])/2 - t[30] - 
       22*t[31] - (29*t[32])/2 - (23*t[33])/2 + 2*t[35] - 9*t[36] + t[37] - 
       (5*t[38])/2 - 2*t[39] + 17*t[40] - (35*t[41])/4 + (37*t[42])/4 - 
       (61*t[43])/16 - (25*t[44])/4 + (65*t[45])/8 - (9*t[46])/2 - 
       (39*t[47])/4 - (399*t[48])/16 + (151*t[49])/8 - (311*t[50])/16 - 
       (35*t[51])/4 - (233*t[52])/16 - (283*t[53])/8 - (717*t[54])/16 + 
       t[58]/2 + 9*t[59] + (595*t[60])/8 + (569*t[61])/2 - (1173*t[62])/16 + 
       (1841*t[63])/16 - (69*t[64])/4 - (333*t[65])/4 - (465*t[66])/2 + 
       4*t[67] + (27*t[68])/2 - 5*t[69] - 3*t[70] + 3*t[71] + 14*t[72] + 
       5*t[74] + (11*t[76])/2 - 11*t[77] + 6*t[78] - 54*t[80] + 
       (89*t[81])/4 - (167*t[82])/4 + 10*t[83] + 4*t[84] - (69*t[85])/8 + 
       (23*t[86])/2 - (323*t[87])/8 - (299*t[88])/16 - (695*t[89])/8 + 
       (5*t[92])/2 - (5*t[94])/2 + t[97] - 24*t[98] + 58*t[99] - 
       353*t[100]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-37*t[1])/4 + (21*t[2])/8 - (687*t[3])/8 + (35*t[4])/4 - 
       (597*t[5])/8 + (989*t[6])/16 + (839*t[7])/16 + (1565*t[8])/16 + 
       (1439*t[9])/16 - (731*t[10])/16 + (745*t[11])/8 + (215*t[12])/4 - 
       (1435*t[13])/288 + 110*t[14] + (229*t[15])/32 - 4*t[16] - 
       (3*t[17])/4 + t[18] + 14*t[19] - t[20] - 3*t[21] + 2*t[22] + 3*t[23] - 
       t[24] - t[25] + 3*t[26] - (9*t[27])/2 - 2*t[28] - (7*t[29])/2 - 
       5*t[30] + t[31] + (37*t[32])/2 - 3*t[34] + 2*t[35] - 3*t[36] + 
       2*t[37] - (13*t[38])/2 - 6*t[39] - 4*t[40] + (21*t[41])/4 - 
       (19*t[42])/4 - (101*t[43])/16 + (11*t[44])/4 + (153*t[45])/8 - 
       (45*t[46])/4 - (107*t[47])/4 + (5*t[48])/4 + (133*t[49])/4 + 
       (59*t[50])/4 + t[51]/2 - (35*t[52])/4 - (63*t[53])/4 + (145*t[54])/4 + 
       (5*t[58])/2 + 9*t[59] + (595*t[60])/8 + (569*t[61])/2 - 
       (1173*t[62])/16 + (1841*t[63])/16 - (69*t[64])/4 - (333*t[65])/4 - 
       (465*t[66])/2 + 4*t[67] + (27*t[68])/2 - 5*t[69] - 3*t[70] + 3*t[71] + 
       14*t[72] + 5*t[74] + (11*t[76])/2 - 11*t[77] + 6*t[78] - 54*t[80] + 
       (89*t[81])/4 - (167*t[82])/4 + 10*t[83] + 4*t[84] - (69*t[85])/8 + 
       (23*t[86])/2 - (323*t[87])/8 - (299*t[88])/16 - (695*t[89])/8 + 
       (5*t[92])/2 - (5*t[94])/2 + t[97] - 24*t[98] + 58*t[99] - 
       353*t[100]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      (18*t[1] - (9*t[2])/4 - (197*t[3])/4 + (491*t[4])/4 - 41*t[5] - 
       24*t[6] + (423*t[7])/4 + (145*t[8])/4 + (139*t[9])/2 + (361*t[10])/4 + 
       (151*t[11])/4 - 106*t[12] - (1861*t[13])/72 + (3471*t[14])/16 - 
       (577*t[15])/12 + 3*t[16] + 19*t[25] - 28*t[26] - 18*t[27] - 21*t[28] - 
       7*t[29] + 6*t[30] - t[31] - 9*t[34] + 35*t[35] + 6*t[36] + 3*t[37] + 
       (27*t[38])/2 + 9*t[39] - 24*t[40] + (9*t[41])/2 - (9*t[42])/2 - 
       (11*t[43])/2 + (105*t[44])/2 - 21*t[45] - 17*t[46] + 45*t[47] + 
       41*t[48] + (647*t[49])/4 - 27*t[50] - (1003*t[51])/16 + 39*t[52] - 
       (497*t[53])/4 - (185*t[54])/4 - (15*t[59])/4 - 2*t[60] + 
       (663*t[61])/2 - (3427*t[62])/8 + (159*t[63])/8 + (269*t[64])/4 - 
       295*t[65] - (7957*t[66])/12 - 3*t[68] - 18*t[70] + 18*t[71] - 
       24*t[72] + 16*t[73] - 6*t[74] - 80*t[75] + (145*t[76])/2 + 21*t[77] - 
       (153*t[78])/2 + 28*t[79] + 26*t[80] + (97*t[81])/2 - (157*t[82])/2 + 
       119*t[83] - (209*t[84])/4 - 14*t[85] + 316*t[86] - (225*t[87])/2 - 
       (555*t[88])/4 - (797*t[89])/8 + 18*t[95] + 45*t[96] + (15*t[97])/2 + 
       216*t[98] - 126*t[99] - 297*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*((15*t[1])/4 - (99*t[2])/4 + (377*t[3])/8 + 
       109*t[4] - (307*t[5])/2 - (1429*t[6])/8 + (1273*t[7])/4 - 
       (1619*t[8])/4 + (963*t[9])/4 + (75*t[10])/4 + (2663*t[11])/8 + 
       (307*t[12])/4 + (2861*t[13])/18 + (1133*t[14])/8 - (817*t[15])/48 + 
       (3*t[17])/2 - 3*t[19] - 3*t[20] - 3*t[21] + 3*t[22] + 3*t[23] - 
       12*t[27] + 3*t[28] + (29*t[29])/2 + 15*t[30] + 3*t[31] - 
       (111*t[32])/2 - 6*t[33] + (3*t[34])/2 - 6*t[35] + 9*t[36] + 6*t[37] + 
       (9*t[38])/2 + (39*t[39])/2 + 12*t[40] - (3*t[41])/4 + (3*t[42])/4 + 
       (21*t[43])/2 - (87*t[44])/4 - 17*t[45] - 3*t[46] + 47*t[47] - 
       (1221*t[48])/8 - (39*t[49])/4 + (487*t[50])/8 + (3*t[51])/2 - 
       (787*t[52])/8 + (111*t[53])/4 - (1017*t[54])/8 - 3*t[55] - 
       (15*t[59])/4 - 2*t[60] + (663*t[61])/2 - (3427*t[62])/8 + 
       (159*t[63])/8 + (269*t[64])/4 - 295*t[65] - (7957*t[66])/12 - 
       3*t[68] - 18*t[70] + 18*t[71] - 24*t[72] + 16*t[73] - 6*t[74] - 
       80*t[75] + (145*t[76])/2 + 21*t[77] - (153*t[78])/2 + 28*t[79] + 
       26*t[80] + (97*t[81])/2 - (157*t[82])/2 + 119*t[83] - (209*t[84])/4 - 
       14*t[85] + 316*t[86] - (225*t[87])/2 - (555*t[88])/4 - (797*t[89])/8 + 
       18*t[95] + 45*t[96] + (15*t[97])/2 + 216*t[98] - 126*t[99] - 
       297*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(t[1]/2 - (53*t[2])/8 + (85*t[3])/8 + 
       (257*t[4])/32 + (1325*t[5])/48 + (899*t[6])/48 - (133*t[7])/2 + 
       (377*t[8])/12 + (2525*t[9])/48 + (5897*t[10])/192 + (1531*t[11])/48 - 
       (8543*t[12])/192 + (3491*t[13])/96 + (47941*t[14])/384 - 
       (25205*t[15])/576 + t[17] - (7*t[19])/2 - 26*t[20] + 17*t[21] + 
       12*t[22] - 17*t[23] + 33*t[24] - 4*t[25] + t[27]/3 + (77*t[28])/3 + 
       (56*t[29])/3 + t[30]/2 + (40*t[31])/3 - (25*t[32])/2 + 7*t[33] + 
       7*t[34] + (4*t[35])/3 + (55*t[36])/6 + (13*t[37])/6 + (8*t[38])/3 + 
       (77*t[39])/3 + (35*t[40])/6 + 8*t[41] - 8*t[42] - (115*t[43])/24 - 
       (71*t[44])/6 + 10*t[45] - (3*t[46])/2 - 10*t[47] + (567*t[48])/16 + 
       (10795*t[49])/192 - (5875*t[50])/48 - (9815*t[51])/384 + 
       (4627*t[52])/48 - (1625*t[53])/64 + (4771*t[54])/96 - t[55]/4 + 
       2*t[56] + 2*t[57] - (14*t[58])/3 - (11*t[59])/3 - (2585*t[60])/96 + 
       (30895*t[61])/96 - (26317*t[62])/192 + (22733*t[63])/192 + 
       (20107*t[64])/192 - (52081*t[65])/288 - (106339*t[66])/288 - 6*t[68] - 
       14*t[69] - 10*t[70] + 10*t[71] - (85*t[72])/3 + (229*t[73])/6 + 
       29*t[74] - (53*t[75])/6 + (623*t[76])/4 + (43*t[77])/2 - 
       (2257*t[78])/12 - 29*t[79] + (212*t[80])/3 + 25*t[81] - 
       (497*t[82])/12 - (179*t[83])/3 - (2903*t[84])/32 + (3415*t[85])/96 - 
       (763*t[86])/6 - (10841*t[87])/96 - (19961*t[88])/192 - 
       (11323*t[89])/192 - t[91]/6 - 4*t[93] + 10*t[95] + 42*t[96] + 
       20*t[97] + 671*t[98] - 709*t[99] - 286*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*
      ((-27*t[1])/4 + (297*t[2])/8 - 74*t[3] - (675*t[4])/4 - (743*t[5])/16 + 
       (493*t[6])/16 + (1239*t[7])/8 - (785*t[8])/8 + (3407*t[9])/16 - 
       (269*t[10])/2 + (1309*t[11])/16 + (2385*t[12])/16 - (13*t[13])/24 + 
       (6943*t[14])/48 + (67*t[15])/96 + 9*t[16] - 14*t[25] + 14*t[26] + 
       27*t[29] - (15*t[30])/2 + 50*t[34] + 8*t[36] - (27*t[38])/2 + 
       3*t[39] - (115*t[40])/4 + (99*t[44])/2 - (189*t[45])/4 + 22*t[46] + 
       (135*t[47])/4 - (969*t[48])/16 - (351*t[49])/8 - (65*t[50])/16 - 
       (381*t[51])/16 + (593*t[52])/16 + (303*t[53])/8 + (221*t[54])/16 - 
       (27*t[59])/8 + (959*t[60])/8 + (953*t[61])/8 - (1159*t[62])/16 + 
       (2111*t[63])/16 - (2271*t[64])/16 - (1269*t[65])/8 - (6347*t[66])/24 + 
       12*t[69] - 58*t[73] + 24*t[74] + 118*t[75] + (5*t[76])/4 + 55*t[78] + 
       20*t[79] + (105*t[80])/2 + (81*t[81])/4 + (67*t[82])/4 + 30*t[83] - 
       (105*t[84])/8 + (419*t[85])/8 + 84*t[86] - (765*t[87])/8 - 
       (1245*t[88])/16 - (2229*t[89])/16 + (27*t[97])/4 + 108*t[98] - 
       60*t[99] - 267*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 
       1 - w]*((27*t[1])/8 + (621*t[2])/8 + (629*t[3])/8 + (1037*t[4])/8 + 
       (1619*t[5])/16 - (233*t[6])/8 + (17*t[7])/8 - (65*t[8])/8 - 
       (687*t[9])/16 - (2049*t[10])/16 + 168*t[11] - 42*t[12] + 
       (1405*t[13])/16 - (815*t[14])/96 + (585*t[15])/32 - t[19] - 6*t[20] + 
       12*t[22] - (81*t[26])/4 - 84*t[28] - 4*t[29] + 24*t[30] - 30*t[33] + 
       (27*t[34])/4 + 36*t[35] - (45*t[37])/2 + (27*t[38])/2 + (27*t[40])/2 - 
       (75*t[41])/8 + (75*t[42])/8 + 48*t[44] - 12*t[47] - (267*t[48])/8 + 
       (483*t[49])/16 - (315*t[50])/8 - (351*t[51])/32 + (45*t[52])/8 - 
       (499*t[53])/16 - (49*t[54])/2 - (27*t[58])/4 - (27*t[59])/8 + 
       (959*t[60])/8 + (953*t[61])/8 - (1159*t[62])/16 + (2111*t[63])/16 - 
       (2271*t[64])/16 - (1269*t[65])/8 - (6347*t[66])/24 + 12*t[69] - 
       58*t[73] + 24*t[74] + 118*t[75] + (5*t[76])/4 + 55*t[78] + 20*t[79] + 
       (105*t[80])/2 + (81*t[81])/4 + (67*t[82])/4 + 30*t[83] - 
       (105*t[84])/8 + (419*t[85])/8 + 84*t[86] - (765*t[87])/8 - 
       (1245*t[88])/16 - (2229*t[89])/16 + (27*t[97])/4 + 108*t[98] - 
       60*t[99] - 267*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-9*t[1])/4 + (47*t[2])/2 + (335*t[3])/16 + 
       (335*t[4])/8 + (139*t[5])/4 - (79*t[6])/8 + (227*t[7])/8 - 
       (607*t[8])/8 + (3*t[9])/2 - (1035*t[10])/16 + 93*t[11] - 
       (29*t[12])/16 + (8753*t[13])/144 + (4631*t[14])/96 - 
       (1285*t[15])/288 + (5*t[17])/4 + 4*t[19] + 8*t[20] + 4*t[21] - 
       18*t[22] - 6*t[23] + 3*t[24] + 2*t[25] - 2*t[26] - 6*t[27] + 5*t[28] - 
       (5*t[29])/4 - t[30]/2 + 3*t[31] - (37*t[32])/4 + t[33] + 
       (21*t[34])/2 - 7*t[35] + 9*t[36] - (9*t[37])/2 - (5*t[38])/2 + 
       (11*t[39])/2 - 4*t[40] + 5*t[41] - 4*t[42] + 7*t[43] + (61*t[44])/8 - 
       18*t[45] - (13*t[46])/2 + (21*t[47])/2 - (49*t[48])/4 + 
       (55*t[49])/16 + (3*t[50])/4 + (53*t[51])/32 + (19*t[52])/4 - 
       (23*t[53])/16 - 27*t[54] - t[55] - t[56] - 4*t[57] + t[59]/2 + 
       (477*t[60])/4 + 153*t[61] - (433*t[62])/16 - (243*t[63])/16 - 
       103*t[64] - (1223*t[65])/24 - (1707*t[66])/8 - (5*t[68])/2 - 2*t[69] - 
       3*t[70] + 3*t[71] + 10*t[72] + 14*t[73] - (5*t[74])/2 - 16*t[75] + 
       20*t[76] - (3*t[77])/2 - (27*t[78])/2 - 12*t[79] + 58*t[80] + 
       13*t[81] - 11*t[82] - 41*t[83] + (241*t[84])/8 + (13*t[85])/8 - 
       62*t[86] - (571*t[87])/8 - (811*t[88])/16 - (681*t[89])/16 + 3*t[95] + 
       6*t[96] + 132*t[98] - 122*t[99] - 248*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((13*t[1])/2 + 13*t[2] - (61*t[3])/2 - (153*t[4])/8 + (87*t[5])/16 + 
       17*t[6] + (33*t[7])/2 + (77*t[8])/2 + (905*t[9])/16 - 26*t[10] + 
       90*t[11] + (51*t[12])/16 + (3673*t[13])/72 + (10033*t[14])/96 + 
       (765*t[15])/32 + 2*t[16] - 2*t[20] + 2*t[22] - (11*t[25])/2 + 
       (3*t[26])/2 - 3*t[27] + 9*t[28] + t[29] - 6*t[30] - 10*t[31] + 
       2*t[32] - 2*t[33] + t[34]/2 - 6*t[35] + (9*t[36])/2 - t[37] + 
       3*t[38] + 6*t[39] - 2*t[40] - (5*t[41])/4 + (5*t[42])/4 + 
       (15*t[43])/2 + 7*t[44] - 5*t[45] + (31*t[46])/4 + 8*t[47] - 
       (5*t[48])/4 - (165*t[49])/8 - (17*t[50])/4 + (275*t[51])/32 + 
       (11*t[52])/4 + (207*t[53])/8 + (217*t[54])/8 - (3*t[58])/2 + t[59]/2 + 
       (477*t[60])/4 + 153*t[61] - (433*t[62])/16 - (243*t[63])/16 - 
       103*t[64] - (1223*t[65])/24 - (1707*t[66])/8 - (5*t[68])/2 - 2*t[69] - 
       3*t[70] + 3*t[71] + 10*t[72] + 14*t[73] - (5*t[74])/2 - 16*t[75] + 
       20*t[76] - (3*t[77])/2 - (27*t[78])/2 - 12*t[79] + 58*t[80] + 
       13*t[81] - 11*t[82] - 41*t[83] + (241*t[84])/8 + (13*t[85])/8 - 
       62*t[86] - (571*t[87])/8 - (811*t[88])/16 - (681*t[89])/16 + 3*t[95] + 
       6*t[96] + 132*t[98] - 122*t[99] - 248*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((233*t[1])/18 - (1369*t[2])/72 + (8267*t[3])/144 + (955*t[4])/24 + 
       (95*t[5])/36 - (63127*t[6])/576 + (10337*t[7])/144 - (8965*t[8])/48 - 
       (17825*t[9])/288 - (4387*t[10])/144 + (183511*t[11])/576 + 
       (731*t[12])/36 + (18479*t[13])/162 + (18821*t[14])/1728 + 
       (64231*t[15])/5184 - 3*t[16] + t[19] - 3*t[20] - t[21] - 2*t[23] + 
       5*t[25] + 3*t[26] + (22*t[27])/9 - (17*t[28])/2 - t[29]/18 - 
       (49*t[30])/12 + (133*t[31])/9 - (253*t[32])/18 + (5*t[33])/9 - 
       (76*t[34])/9 + 2*t[35] - (139*t[36])/6 - (58*t[37])/3 + (47*t[38])/9 + 
       (1249*t[39])/72 - (163*t[40])/24 + (20*t[41])/9 - (13*t[42])/18 + 
       (29*t[43])/9 + (1255*t[44])/36 + (3*t[45])/4 + (197*t[46])/12 + 
       (31*t[47])/9 - (10783*t[48])/192 + (4685*t[49])/144 + 
       (16219*t[50])/576 - (7267*t[51])/288 - (17051*t[52])/576 - 
       (223*t[53])/48 - (7271*t[54])/64 - t[58] - (151*t[59])/36 - 
       (2673*t[60])/32 + (6967*t[61])/32 - (62573*t[62])/576 + 
       (48781*t[63])/576 + (66059*t[64])/576 - (136369*t[65])/864 - 
       (298307*t[66])/864 - 6*t[68] - (61*t[69])/3 - 10*t[70] + 10*t[71] - 
       (236*t[72])/9 + (115*t[73])/6 + 29*t[74] - (5*t[75])/2 + 
       (3973*t[76])/36 + (197*t[77])/18 - (5099*t[78])/36 - (68*t[79])/3 + 
       (617*t[80])/9 + (73*t[81])/9 - (383*t[82])/12 - (301*t[83])/6 - 
       (18565*t[84])/288 + (7471*t[85])/288 - (1415*t[86])/18 - 
       (17057*t[87])/288 - (44417*t[88])/576 - (48827*t[89])/576 - t[91]/6 - 
       4*t[93] + 10*t[95] + (88*t[96])/3 + (151*t[97])/18 + (1139*t[98])/3 - 
       (1253*t[99])/3 - (725*t[100])/3) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((15*t[1])/4 - (93*t[2])/4 - 
       (2645*t[3])/48 + (299*t[4])/24 - (343*t[5])/12 + (493*t[6])/8 - 
       (385*t[7])/8 + (4019*t[8])/24 - (15*t[9])/2 + (3605*t[10])/48 + 
       (353*t[11])/12 + (529*t[12])/16 - (931*t[13])/144 + (11077*t[14])/96 + 
       (12973*t[15])/288 - (5*t[17])/4 + 2*t[19] + 4*t[20] + 6*t[21] - 
       2*t[22] - 6*t[23] + 7*t[24] + (4*t[25])/3 - (4*t[26])/3 - 10*t[27] + 
       (17*t[29])/4 + (7*t[30])/2 + 16*t[31] + (63*t[32])/4 + 13*t[33] - 
       (35*t[34])/2 - 8*t[36] - t[37]/2 + (3*t[38])/2 + (3*t[39])/2 - t[40] + 
       5*t[41] - 5*t[42] + (3*t[43])/4 - (81*t[44])/8 + 15*t[45] - 
       (8*t[46])/3 - (59*t[47])/2 + (165*t[48])/4 + (259*t[49])/48 - 
       (109*t[50])/12 + (181*t[51])/96 + (223*t[52])/12 - (163*t[53])/48 + 
       73*t[54] + t[55] + t[56] + (19*t[59])/2 + (122*t[60])/3 + 
       (1281*t[61])/4 - (3421*t[62])/48 + (9217*t[63])/48 - (1741*t[64])/24 - 
       (553*t[65])/8 - (495*t[66])/8 + (5*t[68])/2 + 5*t[70] - 5*t[71] - 
       4*t[72] - 17*t[73] + (7*t[74])/2 + 35*t[75] - 36*t[76] - 
       (17*t[77])/2 + (121*t[78])/2 + 21*t[79] - 12*t[80] - t[81]/2 - 
       (11*t[82])/2 + (32*t[83])/3 - (37*t[84])/8 - (1613*t[85])/24 - 
       (164*t[86])/3 - (329*t[87])/24 + (631*t[88])/48 - (2803*t[89])/48 - 
       2*t[93] - 5*t[95] - 2*t[96] + 6*t[97] - 108*t[98] + 174*t[99] - 
       238*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-23*t[1])/2 - (27*t[2])/4 - (67*t[3])/3 + (1351*t[4])/24 - 
       (3665*t[5])/48 + (587*t[6])/24 + 21*t[7] + (223*t[8])/6 + 
       (493*t[9])/48 + (163*t[10])/6 + (1741*t[11])/24 + (1051*t[12])/48 + 
       (2075*t[13])/72 + (7183*t[14])/96 + (8555*t[15])/288 - (4*t[20])/3 + 
       (27*t[25])/2 + (5*t[26])/2 - 7*t[27] - (50*t[28])/3 + 7*t[29] + 
       (22*t[30])/3 - 11*t[31] - (4*t[33])/3 - (3*t[34])/2 - 6*t[35] - 
       (5*t[36])/2 - 13*t[37] - 15*t[38] - 2*t[39] + 5*t[40] + (3*t[41])/4 - 
       (3*t[42])/4 - 3*t[43] - (41*t[44])/3 + (13*t[45])/2 - (15*t[46])/4 - 
       13*t[47] + (421*t[48])/24 + (439*t[49])/24 - (143*t[50])/24 - 
       (1541*t[51])/96 - (37*t[52])/24 - (673*t[53])/24 - (35*t[54])/4 + 
       t[58]/2 + (19*t[59])/2 + (122*t[60])/3 + (1281*t[61])/4 - 
       (3421*t[62])/48 + (9217*t[63])/48 - (1741*t[64])/24 - (553*t[65])/8 - 
       (495*t[66])/8 + (5*t[68])/2 + 5*t[70] - 5*t[71] - 4*t[72] - 17*t[73] + 
       (7*t[74])/2 + 35*t[75] - 36*t[76] - (17*t[77])/2 + (121*t[78])/2 + 
       21*t[79] - 12*t[80] - t[81]/2 - (11*t[82])/2 + (32*t[83])/3 - 
       (37*t[84])/8 - (1613*t[85])/24 - (164*t[86])/3 - (329*t[87])/24 + 
       (631*t[88])/48 - (2803*t[89])/48 - 2*t[93] - 5*t[95] - 2*t[96] + 
       6*t[97] - 108*t[98] + 174*t[99] - 238*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, u, w]*((32*t[1])/3 - 16*t[2] + 
       (112*t[3])/3 + (8*t[4])/3 - 40*t[5] - (176*t[6])/3 - (32*t[7])/3 - 
       (16*t[8])/3 + 24*t[9] + 52*t[10] - (88*t[11])/3 - (92*t[12])/3 - 
       (1144*t[13])/27 + (74*t[14])/9 - (152*t[15])/3 - (64*t[31])/3 - 
       32*t[36] - (64*t[37])/3 - (32*t[43])/3 + (16*t[48])/3 + 
       (100*t[49])/3 + (16*t[50])/3 - (50*t[51])/3 - (16*t[52])/3 - 
       (100*t[53])/3 + (8*t[54])/3 + 16*t[60] - (464*t[61])/3 - 
       (560*t[62])/3 - (16*t[63])/3 + (280*t[64])/3 + (800*t[65])/9 - 
       (112*t[66])/9 + (128*t[72])/3 - (128*t[73])/3 + (320*t[79])/3 + 
       (128*t[80])/3 + (128*t[82])/3 + (64*t[84])/3 - (64*t[85])/3 + 
       256*t[86] - 64*t[87] - 32*t[88] - (200*t[89])/3 - (704*t[100])/3) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v]*(-4*t[1] - (5*t[2])/2 - 
       71*t[3] + 57*t[4] - 53*t[5] + (1519*t[6])/16 + (325*t[7])/4 + 
       (687*t[8])/4 + (305*t[9])/8 - 17*t[10] + (2681*t[11])/16 + 
       (301*t[12])/4 + (2843*t[13])/36 + (3121*t[14])/48 + 
       (11651*t[15])/144 + 12*t[25] + 8*t[27] + 18*t[28] + (37*t[29])/2 + 
       15*t[30] + 8*t[31] + 8*t[32] - 8*t[33] - 8*t[34] - 36*t[35] + 
       18*t[36] + 12*t[37] - 8*t[38] + (17*t[39])/2 + 3*t[40] + 4*t[41] - 
       4*t[42] + 10*t[43] - (77*t[44])/2 + 9*t[46] + 8*t[47] + 
       (285*t[48])/16 - (67*t[49])/2 - (379*t[50])/16 + 14*t[51] + 
       (251*t[52])/16 + (99*t[53])/2 + (399*t[54])/16 + 16*t[59] - 
       (99*t[60])/8 + (3717*t[61])/8 + (809*t[62])/16 - (121*t[63])/16 - 
       (575*t[64])/16 + (2893*t[65])/24 - (2065*t[66])/24 - 16*t[72] + 
       54*t[73] + 6*t[75] + 62*t[76] + 26*t[77] - 100*t[78] - 42*t[79] - 
       8*t[80] + 29*t[81] - 60*t[82] - 132*t[83] - (215*t[84])/8 - 
       (343*t[85])/8 - 254*t[86] + (137*t[87])/8 + (137*t[88])/16 + 
       (2255*t[89])/16 + 24*t[96] + 16*t[97] + 300*t[98] - 300*t[99] - 
       228*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      (8*t[1] - (107*t[2])/2 - 63*t[3] + (181*t[4])/8 + (249*t[5])/4 + 
       138*t[6] - (177*t[7])/2 + (325*t[8])/2 - (307*t[9])/4 + 
       (47*t[10])/16 + 6*t[11] - (569*t[12])/16 + (1441*t[13])/72 + 
       (3435*t[14])/32 + (547*t[15])/16 + 12*t[19] - 12*t[20] - 12*t[21] + 
       12*t[22] + 12*t[23] - 20*t[27] + 16*t[28] + 20*t[29] - 26*t[30] + 
       8*t[31] - 8*t[34] + 60*t[35] - 12*t[37] + 4*t[38] + 12*t[39] + 
       4*t[41] - 4*t[42] + 4*t[43] - 8*t[44] - 9*t[46] + (205*t[48])/2 + 
       (1149*t[49])/16 - (215*t[50])/2 - (777*t[51])/32 + (199*t[52])/2 - 
       (893*t[53])/16 + (467*t[54])/8 + 16*t[59] - (99*t[60])/8 + 
       (3717*t[61])/8 + (809*t[62])/16 - (121*t[63])/16 - (575*t[64])/16 + 
       (2893*t[65])/24 - (2065*t[66])/24 - 16*t[72] + 54*t[73] + 6*t[75] + 
       62*t[76] + 26*t[77] - 100*t[78] - 42*t[79] - 8*t[80] + 29*t[81] - 
       60*t[82] - 132*t[83] - (215*t[84])/8 - (343*t[85])/8 - 254*t[86] + 
       (137*t[87])/8 + (137*t[88])/16 + (2255*t[89])/16 + 24*t[96] + 
       16*t[97] + 300*t[98] - 300*t[99] - 228*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*(-t[1] - (141*t[2])/4 - 
       173*t[3] + (287*t[4])/4 - (83*t[5])/4 + (2111*t[6])/16 - 
       (215*t[7])/4 + (269*t[8])/4 + (191*t[9])/8 + (91*t[10])/8 - 
       (559*t[11])/16 - (133*t[12])/8 + (319*t[13])/6 + (1037*t[14])/8 + 
       (2261*t[15])/48 - 2*t[18] + 33*t[20] - 18*t[22] - 12*t[28] - 
       (71*t[29])/2 - 8*t[30] - 39*t[32] + 29*t[33] + 22*t[34] + 8*t[35] - 
       15*t[36] - (3*t[38])/2 - t[39] - t[40]/2 - 3*t[41] + 3*t[42] - 
       (15*t[43])/2 - (57*t[44])/4 - (7*t[45])/2 + (5*t[47])/2 + 
       (493*t[48])/16 + (89*t[49])/8 - (555*t[50])/16 - (101*t[51])/16 + 
       (571*t[52])/16 - (89*t[53])/8 + (1483*t[54])/16 + (57*t[59])/4 + 
       (6013*t[60])/24 + (979*t[61])/8 + (1741*t[62])/16 - (2177*t[63])/16 - 
       (5741*t[64])/16 - (2395*t[65])/24 - (2561*t[66])/24 + (5*t[67])/2 + 
       29*t[69] - 14*t[70] + 14*t[71] - 6*t[72] - 18*t[73] + 20*t[74] + 
       24*t[75] + 3*t[76] + 15*t[77] + (25*t[78])/2 + 11*t[79] - 27*t[80] + 
       11*t[81] - 13*t[82] - (53*t[83])/2 + (621*t[84])/8 + (403*t[85])/8 - 
       224*t[86] - (857*t[87])/8 - (377*t[88])/16 + (1671*t[89])/16 - 
       14*t[95] + t[97]/2 + 24*t[98] - 24*t[99] - 216*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-137*t[1])/4 - (5*t[2])/4 - (105*t[3])/4 + (1251*t[4])/8 - 
       (39*t[5])/8 + (355*t[6])/8 - 20*t[7] + t[8]/2 + (347*t[9])/8 + 
       (25*t[10])/16 + (297*t[11])/8 + (847*t[12])/16 + (697*t[13])/12 + 
       (5233*t[14])/96 + (115*t[15])/9 + t[16]/2 - t[19] + 21*t[25] + 
       11*t[26] + 15*t[28] + 21*t[31] + t[34]/2 - 15*t[35] - 9*t[36] + 
       13*t[37] - (157*t[38])/6 + 15*t[39] - 14*t[40] - t[41]/4 + t[42]/4 + 
       15*t[45] + 46*t[46] - 30*t[47] + (127*t[48])/8 - (1153*t[49])/16 - 
       (145*t[50])/8 - (1221*t[51])/32 + (125*t[52])/8 + (2243*t[53])/48 - 
       (121*t[54])/4 - t[58] + (57*t[59])/4 + (6013*t[60])/24 + 
       (979*t[61])/8 + (1741*t[62])/16 - (2177*t[63])/16 - (5741*t[64])/16 - 
       (2395*t[65])/24 - (2561*t[66])/24 + (5*t[67])/2 + 29*t[69] - 
       14*t[70] + 14*t[71] - 6*t[72] - 18*t[73] + 20*t[74] + 24*t[75] + 
       3*t[76] + 15*t[77] + (25*t[78])/2 + 11*t[79] - 27*t[80] + 11*t[81] - 
       13*t[82] - (53*t[83])/2 + (621*t[84])/8 + (403*t[85])/8 - 224*t[86] - 
       (857*t[87])/8 - (377*t[88])/16 + (1671*t[89])/16 - 14*t[95] + 
       t[97]/2 + 24*t[98] - 24*t[99] - 216*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      (-t[1] - 17*t[2] + (21*t[3])/4 + (136*t[4])/3 - (2149*t[5])/24 + 
       5*t[6] + (889*t[7])/12 + (181*t[8])/12 + (2221*t[9])/24 - 
       (241*t[10])/6 + (201*t[11])/2 + (105*t[12])/8 - (1099*t[13])/72 + 
       (5939*t[14])/72 - (1571*t[15])/144 + 6*t[25] + 8*t[27] - 40*t[28] + 
       4*t[29] - 8*t[30] - 24*t[31] + 4*t[32] - 4*t[33] + 24*t[35] - 
       20*t[36] - 6*t[37] - 6*t[38] + 4*t[39] + 14*t[40] - 4*t[41] + 
       4*t[42] - (9*t[43])/2 + 18*t[44] + (15*t[45])/2 + t[46] - 11*t[47] - 
       (147*t[48])/4 - (371*t[49])/12 + (17*t[50])/4 - (23*t[51])/4 - 
       (65*t[52])/4 - (25*t[53])/12 + (233*t[54])/12 + 7*t[59] + 
       (256*t[60])/3 + (1843*t[61])/6 - (487*t[62])/3 + 142*t[63] - 
       (1345*t[64])/12 - (628*t[65])/9 + t[66]/3 - 6*t[68] + 12*t[70] - 
       12*t[71] - 72*t[72] + 54*t[73] + 6*t[74] - 210*t[75] - 24*t[76] + 
       2*t[77] + 36*t[78] + 34*t[79] - 18*t[80] + 6*t[82] + (428*t[83])/3 + 
       (83*t[84])/6 - (115*t[85])/6 + (127*t[86])/3 + (135*t[87])/2 + 
       (351*t[88])/4 - (503*t[89])/12 - 12*t[93] - 12*t[95] - 12*t[96] + 
       6*t[97] - 144*t[98] + 72*t[99] - 216*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      (-t[1] + 34*t[2] - (1069*t[3])/6 - 45*t[4] + (695*t[5])/24 + 
       (941*t[6])/12 + (185*t[7])/6 + (586*t[8])/3 - (447*t[9])/8 + 
       (239*t[10])/3 - (221*t[11])/6 + (73*t[12])/24 - (247*t[13])/6 + 
       (9457*t[14])/72 + (6329*t[15])/144 + 3*t[17] - 120*t[20] - 12*t[24] + 
       4*t[27] - (206*t[28])/3 - (55*t[29])/3 + (202*t[30])/3 + 29*t[32] + 
       4*t[33] - 6*t[34] - 24*t[35] + 24*t[36] - 6*t[37] + 8*t[39] - 
       26*t[40] + 8*t[41] - 8*t[42] + t[43]/4 + (275*t[44])/6 + 13*t[45] - 
       4*t[46] - 24*t[47] + (189*t[48])/4 + (17*t[49])/2 + (43*t[50])/12 - 
       (47*t[51])/4 + (173*t[52])/12 - (17*t[53])/2 + (119*t[54])/12 + 
       4*t[57] + 7*t[59] + (256*t[60])/3 + (1843*t[61])/6 - (487*t[62])/3 + 
       142*t[63] - (1345*t[64])/12 - (628*t[65])/9 + t[66]/3 - 6*t[68] + 
       12*t[70] - 12*t[71] - 72*t[72] + 54*t[73] + 6*t[74] - 210*t[75] - 
       24*t[76] + 2*t[77] + 36*t[78] + 34*t[79] - 18*t[80] + 6*t[82] + 
       (428*t[83])/3 + (83*t[84])/6 - (115*t[85])/6 + (127*t[86])/3 + 
       (135*t[87])/2 + (351*t[88])/4 - (503*t[89])/12 - 12*t[93] - 12*t[95] - 
       12*t[96] + 6*t[97] - 144*t[98] + 72*t[99] - 216*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((82*t[1])/3 - (292*t[2])/3 + (241*t[3])/2 + (3127*t[4])/24 + 
       (763*t[5])/6 - (349*t[6])/12 - (565*t[7])/3 - (29*t[8])/2 - 124*t[9] + 
       (4431*t[10])/16 - (49*t[11])/4 - (5615*t[12])/48 - (27161*t[13])/216 + 
       (48715*t[14])/288 - (9119*t[15])/144 - (8*t[17])/3 - (4*t[19])/3 - 
       36*t[20] - 12*t[21] + 32*t[22] + (52*t[23])/3 + (56*t[24])/3 + 
       (76*t[27])/3 - (4*t[28])/3 + 35*t[29] - (106*t[30])/3 + 
       (172*t[31])/3 - (32*t[32])/3 - 44*t[33] - (32*t[34])/3 + 42*t[35] - 
       8*t[36] - (10*t[37])/3 + (53*t[38])/3 + (143*t[39])/3 + (11*t[40])/3 - 
       t[41]/3 + t[42]/3 + (28*t[43])/3 - (31*t[44])/3 - (14*t[45])/3 + 
       (19*t[46])/3 + (20*t[47])/3 + (491*t[48])/12 + (2629*t[49])/16 - 
       (1063*t[50])/4 - (11443*t[51])/96 + (2221*t[52])/12 - 
       (1797*t[53])/16 - (3665*t[54])/24 - (14*t[55])/3 + 6*t[56] - 
       (11*t[59])/2 - (7633*t[60])/24 + (1809*t[61])/8 - (1109*t[62])/48 - 
       (7867*t[63])/48 - (2843*t[64])/16 + (95*t[65])/72 - (7193*t[66])/24 + 
       (22*t[68])/3 - 4*t[69] - (44*t[70])/3 + (44*t[71])/3 - (302*t[72])/3 + 
       38*t[73] - 10*t[74] + 22*t[75] + 214*t[76] + (62*t[77])/3 - 
       (1093*t[78])/3 + 90*t[79] + (62*t[80])/3 + 26*t[81] - (50*t[82])/3 - 
       88*t[83] - (4877*t[84])/24 + (9*t[85])/8 - (1082*t[86])/3 + 
       (107*t[87])/24 - (2869*t[88])/48 + (4081*t[89])/48 - 12*t[93] + 
       20*t[95] + (274*t[96])/3 + 53*t[97] + 1148*t[98] - 1316*t[99] - 
       204*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((295*t[1])/6 - (112*t[2])/3 - 28*t[3] + (203*t[4])/2 + 50*t[5] - 
       (1519*t[6])/48 + (4129*t[7])/12 - (2941*t[8])/12 + (525*t[9])/8 + 
       (121*t[10])/4 + (20047*t[11])/48 + (164*t[12])/3 + (4997*t[13])/36 - 
       (1303*t[14])/144 + (17129*t[15])/432 + t[16] - 18*t[25] - 
       (31*t[26])/3 - (10*t[27])/3 - 32*t[28] + (13*t[29])/2 - (5*t[30])/3 - 
       (2*t[31])/3 + (64*t[32])/3 - (64*t[33])/3 - (101*t[34])/3 - 36*t[35] + 
       30*t[36] + (4*t[37])/3 + (127*t[38])/3 + (79*t[39])/6 + t[40] + 
       (101*t[41])/6 - (101*t[42])/6 + (29*t[43])/3 + (39*t[44])/2 + 
       (32*t[45])/3 + 7*t[46] - (3349*t[48])/48 + (823*t[49])/12 + 
       (1329*t[50])/16 - (5*t[51])/24 - (1409*t[52])/16 + (251*t[53])/4 - 
       (6607*t[54])/48 - t[58]/3 - (11*t[59])/2 - (7633*t[60])/24 + 
       (1809*t[61])/8 - (1109*t[62])/48 - (7867*t[63])/48 - (2843*t[64])/16 + 
       (95*t[65])/72 - (7193*t[66])/24 + (22*t[68])/3 - 4*t[69] - 
       (44*t[70])/3 + (44*t[71])/3 - (302*t[72])/3 + 38*t[73] - 10*t[74] + 
       22*t[75] + 214*t[76] + (62*t[77])/3 - (1093*t[78])/3 + 90*t[79] + 
       (62*t[80])/3 + 26*t[81] - (50*t[82])/3 - 88*t[83] - (4877*t[84])/24 + 
       (9*t[85])/8 - (1082*t[86])/3 + (107*t[87])/24 - (2869*t[88])/48 + 
       (4081*t[89])/48 - 12*t[93] + 20*t[95] + (274*t[96])/3 + 53*t[97] + 
       1148*t[98] - 1316*t[99] - 204*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*((21*t[1])/2 - (45*t[2])/2 + 21*t[3] + 
       (701*t[4])/4 + (179*t[5])/8 + (131*t[6])/4 + (77*t[7])/2 + 
       (167*t[8])/2 - (467*t[9])/8 - (13*t[10])/4 - (159*t[11])/4 - 
       (767*t[12])/8 - (1057*t[13])/12 - (315*t[14])/16 + (775*t[15])/48 - 
       12*t[16] + 9*t[25] - 18*t[26] - 18*t[27] - 64*t[28] + 24*t[29] + 
       16*t[30] - 16*t[31] + 24*t[35] - 27*t[36] - 9*t[37] + 9*t[38] - 
       20*t[39] + 8*t[40] + 8*t[43] - 64*t[44] + 3*t[45] - (9*t[46])/2 - 
       6*t[47] + (239*t[48])/4 + (197*t[49])/2 - (29*t[50])/4 - 
       (671*t[51])/16 + (5*t[52])/4 - 115*t[53] - (123*t[54])/2 - 
       (3*t[59])/2 - (113*t[60])/2 - 50*t[61] + (433*t[62])/8 + 
       (2443*t[63])/8 - 52*t[64] - (979*t[65])/4 + (2497*t[66])/12 + 
       15*t[68] + 6*t[70] - 6*t[71] - 108*t[72] - 64*t[73] + 3*t[74] + 
       160*t[75] - 28*t[76] - 5*t[77] + 58*t[78] + 80*t[79] - 30*t[80] - 
       35*t[81] + 14*t[82] + 20*t[83] - (503*t[84])/4 - (159*t[85])/4 - 
       86*t[86] - (23*t[87])/4 + (169*t[88])/8 - (769*t[89])/8 - 12*t[93] - 
       6*t[95] - 6*t[96] + 3*t[97] - 72*t[98] + 108*t[99] - 198*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*((3*t[1])/2 - 6*t[2] + 
       (135*t[3])/8 - (137*t[4])/4 + (77*t[5])/2 + 68*t[6] - (769*t[7])/4 + 
       (213*t[8])/4 - (333*t[9])/2 + (293*t[10])/8 - (45*t[11])/4 + 
       (459*t[12])/8 + (145*t[13])/24 - (481*t[14])/48 + (1481*t[15])/48 - 
       (15*t[17])/2 - 4*t[19] - 12*t[20] + 12*t[22] + 18*t[24] - 
       (13*t[29])/2 + 3*t[30] + 72*t[31] + (33*t[32])/2 + 48*t[33] - 
       3*t[34] + 9*t[37] - 20*t[39] - 10*t[40] + 3*t[41] - 3*t[42] + 
       (21*t[43])/2 + (25*t[44])/4 + 6*t[45] - 9*t[47] - (285*t[48])/4 - 
       (161*t[49])/8 - (293*t[50])/4 + (225*t[51])/16 + (329*t[52])/4 + 
       (161*t[53])/8 + (343*t[54])/4 + 6*t[55] + 6*t[56] - (3*t[59])/2 - 
       (113*t[60])/2 - 50*t[61] + (433*t[62])/8 + (2443*t[63])/8 - 52*t[64] - 
       (979*t[65])/4 + (2497*t[66])/12 + 15*t[68] + 6*t[70] - 6*t[71] - 
       108*t[72] - 64*t[73] + 3*t[74] + 160*t[75] - 28*t[76] - 5*t[77] + 
       58*t[78] + 80*t[79] - 30*t[80] - 35*t[81] + 14*t[82] + 20*t[83] - 
       (503*t[84])/4 - (159*t[85])/4 - 86*t[86] - (23*t[87])/4 + 
       (169*t[88])/8 - (769*t[89])/8 - 12*t[93] - 6*t[95] - 6*t[96] + 
       3*t[97] - 72*t[98] + 108*t[99] - 198*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      (t[1]/4 - 7*t[2] + (11*t[3])/4 + 7*t[4] - (259*t[5])/8 - (17*t[6])/4 + 
       47*t[7] - (35*t[8])/2 + (375*t[9])/8 - (31*t[10])/4 + (147*t[11])/4 + 
       (35*t[12])/8 - (77*t[13])/12 + (207*t[14])/8 - (371*t[15])/144 + 
       2*t[25] + 5*t[27] - 10*t[28] + 4*t[29] - 4*t[30] - 9*t[31] + 2*t[32] - 
       2*t[33] + 8*t[35] - 6*t[36] - 2*t[37] - 2*t[38] + 4*t[39] + 
       (9*t[40])/2 - 2*t[41] + 2*t[42] - t[43] + 20*t[44] + (19*t[45])/4 + 
       2*t[46] - (15*t[47])/2 - (101*t[48])/4 - (55*t[49])/4 + (49*t[50])/4 - 
       2*t[51] - (65*t[52])/4 + (11*t[53])/4 + (25*t[54])/4 + (9*t[59])/4 + 
       (89*t[60])/4 + 119*t[61] - (583*t[62])/8 + (547*t[63])/8 - 
       (271*t[64])/8 - (343*t[65])/12 - (5*t[66])/2 - 2*t[68] + 4*t[70] - 
       4*t[71] - 24*t[72] + 18*t[73] + 2*t[74] - 94*t[75] - 8*t[76] + 
       t[77]/2 + 12*t[78] + 14*t[79] - 8*t[80] + (7*t[82])/4 + 67*t[83] + 
       (7*t[84])/2 - (15*t[85])/2 + (39*t[86])/2 + (65*t[87])/2 + 
       (137*t[88])/4 - (71*t[89])/4 - 4*t[93] - 4*t[95] - 4*t[96] + 2*t[97] - 
       24*t[98] + 12*t[99] - 193*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*(-t[1] + (53*t[2])/4 - (247*t[3])/4 - 
       18*t[4] + (99*t[5])/8 + 32*t[6] + (13*t[7])/8 + (691*t[8])/8 - 
       (135*t[9])/4 + (215*t[10])/8 - (47*t[11])/4 + (37*t[12])/8 - 
       (611*t[13])/36 + (1249*t[14])/24 + (989*t[15])/72 + t[17] - 40*t[20] - 
       5*t[22] - 4*t[24] - t[27] - 42*t[28] - 11*t[29] + 26*t[30] + t[31] + 
       9*t[32] + 2*t[33] - 2*t[34] - 8*t[35] + 10*t[36] - 2*t[37] - 9*t[40] + 
       (13*t[41])/4 - (13*t[42])/4 - t[43]/8 + (23*t[44])/2 + (9*t[45])/4 - 
       3*t[46] - (17*t[47])/4 + (95*t[48])/4 + (7*t[49])/2 - (23*t[50])/4 - 
       5*t[51] + (47*t[52])/4 - (7*t[53])/2 + (3*t[54])/4 - t[56]/2 + 
       2*t[57] + (9*t[59])/4 + (89*t[60])/4 + 119*t[61] - (583*t[62])/8 + 
       (547*t[63])/8 - (271*t[64])/8 - (343*t[65])/12 - (5*t[66])/2 - 
       2*t[68] + 4*t[70] - 4*t[71] - 24*t[72] + 18*t[73] + 2*t[74] - 
       94*t[75] - 8*t[76] + t[77]/2 + 12*t[78] + 14*t[79] - 8*t[80] + 
       (7*t[82])/4 + 67*t[83] + (7*t[84])/2 - (15*t[85])/2 + (39*t[86])/2 + 
       (65*t[87])/2 + (137*t[88])/4 - (71*t[89])/4 - 4*t[93] - 4*t[95] - 
       4*t[96] + 2*t[97] - 24*t[98] + 12*t[99] - 193*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((7*t[1])/4 - (87*t[2])/8 + (307*t[3])/8 + (17*t[4])/2 - (23*t[5])/16 - 
       (57*t[6])/4 + 15*t[7] - (21*t[8])/4 - (883*t[9])/16 - 21*t[10] + 
       (385*t[11])/8 + t[12]/16 + (1289*t[13])/72 - (835*t[14])/48 + 
       (323*t[15])/32 - (3*t[17])/4 + 4*t[19] - 4*t[20] - 4*t[21] + 8*t[23] + 
       3*t[24] - 3*t[27] - 4*t[28] - (29*t[29])/2 - (9*t[30])/2 - 2*t[32] + 
       t[33]/2 - (23*t[34])/2 + 2*t[35] + 4*t[36] - 5*t[37] + 2*t[38] + 
       (17*t[40])/2 + (5*t[41])/4 - (5*t[42])/4 - t[43] + 3*t[44] + 
       (15*t[45])/2 - (3*t[46])/2 - (9*t[47])/2 - (61*t[48])/4 - 8*t[49] + 
       (51*t[50])/4 + (55*t[51])/8 - (97*t[52])/4 + 8*t[53] - (33*t[54])/2 + 
       (9*t[59])/4 - (313*t[60])/8 + (425*t[61])/4 - (993*t[62])/16 + 
       (173*t[63])/16 + 62*t[64] + 20*t[65] - (541*t[66])/12 + (3*t[68])/2 + 
       4*t[72] + 2*t[73] - 2*t[74] - 2*t[75] - (13*t[76])/2 - t[77] - 
       (7*t[78])/2 + 4*t[80] - (13*t[81])/4 - (21*t[82])/4 + 6*t[83] - 
       (13*t[84])/4 - (307*t[85])/8 + 24*t[86] + (147*t[87])/8 - 
       (5*t[88])/16 - (249*t[89])/8 + t[97]/2 - 72*t[98] + 124*t[99] - 
       191*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*(-3*t[1] + t[2]/4 - (47*t[3])/4 - 39*t[4] + 
       (33*t[5])/4 + (229*t[6])/16 + (3*t[7])/4 + (93*t[8])/2 - (41*t[9])/4 - 
       t[10]/4 + (65*t[11])/16 + (219*t[12])/8 - (191*t[13])/18 + 
       (1117*t[14])/24 + (56*t[15])/3 + (3*t[25])/2 + (7*t[26])/2 - 
       12*t[31] - t[32] + t[33] - t[34] - 2*t[35] + 2*t[36] + 6*t[37] - 
       5*t[38] + t[39] + t[40]/2 + t[41]/2 - t[42]/2 - t[43] - 5*t[44] + 
       2*t[45] + (5*t[46])/4 - 5*t[47] + (257*t[48])/16 - (63*t[49])/4 - 
       (63*t[50])/16 + (67*t[51])/16 + (95*t[52])/16 + (33*t[53])/4 + 
       (435*t[54])/16 + t[58] + (9*t[59])/4 - (313*t[60])/8 + (425*t[61])/4 - 
       (993*t[62])/16 + (173*t[63])/16 + 62*t[64] + 20*t[65] - 
       (541*t[66])/12 + (3*t[68])/2 + 4*t[72] + 2*t[73] - 2*t[74] - 2*t[75] - 
       (13*t[76])/2 - t[77] - (7*t[78])/2 + 4*t[80] - (13*t[81])/4 - 
       (21*t[82])/4 + 6*t[83] - (13*t[84])/4 - (307*t[85])/8 + 24*t[86] + 
       (147*t[87])/8 - (5*t[88])/16 - (249*t[89])/8 + t[97]/2 - 72*t[98] + 
       124*t[99] - 191*t[100]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-5*t[1])/4 + (59*t[2])/4 - (55*t[3])/16 + 
       (297*t[4])/8 - (35*t[5])/4 + (43*t[6])/2 + (85*t[7])/8 + 
       (155*t[8])/8 + 8*t[9] - (173*t[10])/16 + (113*t[11])/8 - 
       (31*t[12])/16 + (297*t[13])/16 + (1167*t[14])/32 + (251*t[15])/96 + 
       (5*t[17])/4 - 2*t[19] + 6*t[20] + 4*t[21] - 2*t[22] - 2*t[23] + 
       2*t[24] - 3*t[27] + (9*t[29])/4 + (17*t[30])/2 - (61*t[32])/4 + 
       t[33] + (39*t[34])/2 + (3*t[37])/2 + 5*t[39] + 7*t[40] + t[41]/2 - 
       (5*t[42])/2 - (13*t[43])/4 - (61*t[44])/8 - 6*t[45] - (5*t[46])/2 + 
       (3*t[47])/2 + (37*t[48])/8 + (49*t[49])/16 + (13*t[50])/8 + 
       (11*t[51])/32 - (73*t[52])/8 - (49*t[53])/16 - (55*t[54])/8 - 
       (9*t[59])/4 + 47*t[60] + (287*t[61])/4 + (341*t[62])/16 - 
       (73*t[63])/16 - (455*t[64])/8 + (157*t[65])/24 - (1001*t[66])/24 - 
       3*t[70] + 3*t[71] + 8*t[72] - (3*t[74])/2 - 3*t[76] + (3*t[77])/2 + 
       16*t[78] - 5*t[80] + 9*t[81] - (15*t[82])/2 + 6*t[83] + 
       (167*t[84])/8 + (13*t[85])/8 - 25*t[86] - (231*t[87])/8 - 
       (463*t[88])/16 + (315*t[89])/16 + (5*t[90])/2 + 3*t[95] + 3*t[96] - 
       (5*t[97])/2 + 12*t[98] + 66*t[99] - 189*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((49*t[1])/4 + (15*t[2])/4 - (29*t[3])/2 + (65*t[4])/8 - 
       (411*t[5])/16 + (65*t[6])/4 + (49*t[7])/4 + 16*t[8] + (435*t[9])/16 - 
       11*t[10] + (27*t[11])/4 - (403*t[12])/16 + (977*t[13])/72 + 
       (3259*t[14])/96 + (1597*t[15])/96 - (5*t[25])/2 - 6*t[26] + 2*t[27] + 
       4*t[30] - 2*t[31] + (3*t[36])/2 - (11*t[37])/2 + (17*t[38])/2 + 
       t[39] - 6*t[40] + 2*t[43] - 2*t[44] + (13*t[45])/2 + (19*t[46])/4 - 
       13*t[47] + (9*t[48])/4 - (95*t[49])/8 + (3*t[50])/4 + (305*t[51])/32 + 
       (17*t[52])/4 + (161*t[53])/8 + (151*t[54])/8 - (9*t[59])/4 + 
       47*t[60] + (287*t[61])/4 + (341*t[62])/16 - (73*t[63])/16 - 
       (455*t[64])/8 + (157*t[65])/24 - (1001*t[66])/24 - 3*t[70] + 3*t[71] + 
       8*t[72] - (3*t[74])/2 - 3*t[76] + (3*t[77])/2 + 16*t[78] - 5*t[80] + 
       9*t[81] - (15*t[82])/2 + 6*t[83] + (167*t[84])/8 + (13*t[85])/8 - 
       25*t[86] - (231*t[87])/8 - (463*t[88])/16 + (315*t[89])/16 + 
       (5*t[90])/2 + 3*t[95] + 3*t[96] - (5*t[97])/2 + 12*t[98] + 66*t[99] - 
       189*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*((-20*t[1])/3 - (13*t[2])/3 - (89*t[3])/6 + 
       (101*t[4])/6 - (155*t[5])/12 + (95*t[6])/6 - (35*t[7])/3 + 9*t[8] + 
       (365*t[9])/12 - (101*t[10])/12 + 35*t[11] + (34*t[12])/3 - 
       (83*t[13])/9 + (1351*t[14])/72 + (571*t[15])/72 - (4*t[17])/3 - 
       (2*t[18])/3 + 8*t[19] - (14*t[21])/3 + (10*t[23])/3 + (2*t[24])/3 - 
       (26*t[31])/3 + (8*t[34])/3 - 2*t[36] - 2*t[37] + (23*t[41])/3 - 
       (32*t[42])/3 - 7*t[43] - 4*t[45] + (16*t[46])/3 - (34*t[47])/3 - 
       (5*t[48])/3 - (5*t[49])/4 + (28*t[50])/3 - (53*t[51])/24 - 12*t[52] + 
       (5*t[53])/4 + (11*t[54])/6 + (28*t[59])/3 + 71*t[60] - (47*t[61])/3 + 
       58*t[62] - 36*t[63] - (895*t[64])/6 + (667*t[65])/9 + (34*t[66])/3 + 
       6*t[67] + 12*t[69] - (8*t[70])/3 + (8*t[71])/3 - 4*t[73] + 
       (64*t[74])/3 - 4*t[75] + (16*t[76])/3 + 2*t[77] - (8*t[78])/3 + 
       22*t[79] + (104*t[80])/3 + (22*t[81])/3 - (22*t[82])/3 - 2*t[83] + 
       (43*t[84])/3 - (50*t[85])/3 - 2*t[86] - (112*t[87])/3 - (56*t[88])/3 - 
       (61*t[89])/6 - (4*t[94])/3 + 32*t[98] - 16*t[99] - 154*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-59*t[1])/3 - (3*t[2])/2 + (22*t[3])/3 + 14*t[4] - (143*t[5])/12 - 
       (179*t[6])/12 + (16*t[7])/3 - 3*t[8] + (39*t[9])/4 - (28*t[10])/3 + 
       (89*t[11])/4 + (137*t[12])/4 + (53*t[13])/27 + (181*t[14])/36 - 
       (809*t[15])/72 + (11*t[16])/3 + 6*t[25] + (20*t[26])/3 - (8*t[31])/3 + 
       (8*t[36])/3 + t[37] - (50*t[38])/3 - (4*t[43])/3 - (5*t[46])/3 + 
       (125*t[48])/12 + 6*t[49] - t[50]/4 - (169*t[51])/12 + t[52]/4 - 
       (111*t[54])/4 + (44*t[59])/3 + (43*t[60])/6 + (17*t[61])/6 - 
       (7*t[62])/4 - (93*t[63])/4 - (309*t[64])/4 + (136*t[65])/3 - 
       (239*t[66])/9 + t[67]/3 + 22*t[69] - (4*t[70])/3 + (4*t[71])/3 - 
       4*t[73] + (16*t[74])/3 + 18*t[75] + (16*t[76])/3 - (20*t[78])/3 + 
       22*t[79] + (14*t[80])/3 - t[81] + (23*t[82])/3 - 21*t[83] + 24*t[84] + 
       (33*t[85])/2 + (178*t[86])/3 - (17*t[87])/2 - (55*t[88])/12 + 
       (55*t[89])/12 - (4*t[95])/3 + (8*t[96])/3 + 32*t[98] - 16*t[99] - 
       154*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((-101*t[2])/6 - (131*t[3])/6 + 
       (7*t[4])/2 - (389*t[5])/12 + (127*t[6])/6 + (167*t[7])/3 + 
       (29*t[8])/3 + (385*t[9])/4 + (55*t[10])/12 - (71*t[11])/6 - t[12]/6 - 
       (5*t[13])/18 + (2471*t[14])/72 + (887*t[15])/216 - 8*t[18] - 
       30*t[20] + 12*t[22] - 10*t[28] + (10*t[29])/3 - (56*t[30])/3 - 
       (8*t[31])/3 - (8*t[32])/3 - (2*t[34])/3 + 6*t[35] - 2*t[36] - 
       2*t[37] - t[41] + t[42] - (4*t[43])/3 + (14*t[44])/3 - (8*t[45])/3 + 
       (2*t[47])/3 + (43*t[48])/6 + (73*t[49])/12 + (17*t[50])/2 - 
       (89*t[51])/24 - (17*t[52])/2 - (73*t[53])/12 + 25*t[54] + 
       (44*t[59])/3 + (43*t[60])/6 + (17*t[61])/6 - (7*t[62])/4 - 
       (93*t[63])/4 - (309*t[64])/4 + (136*t[65])/3 - (239*t[66])/9 + 
       t[67]/3 + 22*t[69] - (4*t[70])/3 + (4*t[71])/3 - 4*t[73] + 
       (16*t[74])/3 + 18*t[75] + (16*t[76])/3 - (20*t[78])/3 + 22*t[79] + 
       (14*t[80])/3 - t[81] + (23*t[82])/3 - 21*t[83] + 24*t[84] + 
       (33*t[85])/2 + (178*t[86])/3 - (17*t[87])/2 - (55*t[88])/12 + 
       (55*t[89])/12 - (4*t[95])/3 + (8*t[96])/3 + 32*t[98] - 16*t[99] - 
       154*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, w, v]*
      ((32*t[1])/3 - 8*t[2] + (448*t[3])/9 - (176*t[4])/3 - (116*t[5])/9 - 
       (688*t[6])/9 + 64*t[7] - (208*t[8])/3 + 76*t[9] + (88*t[10])/9 - 
       (568*t[11])/9 - (364*t[12])/9 - (1408*t[13])/27 - (328*t[14])/27 - 
       (2062*t[15])/27 - (256*t[31])/9 - (64*t[36])/3 - (64*t[37])/3 - 
       (128*t[43])/9 - (32*t[48])/3 + (232*t[49])/9 + (224*t[50])/9 - 
       (44*t[51])/3 - (224*t[52])/9 - (232*t[53])/9 - (176*t[54])/9 + 
       (400*t[60])/9 - 144*t[61] - (2308*t[62])/9 + 100*t[63] + 
       (224*t[64])/3 + (664*t[65])/9 - (88*t[66])/27 + (64*t[72])/3 - 
       (160*t[73])/3 + 64*t[79] + (128*t[80])/3 + (320*t[82])/9 + 
       (160*t[84])/9 - (160*t[85])/9 + (3008*t[86])/9 - (800*t[87])/9 - 
       (400*t[88])/9 - (224*t[89])/3 - (448*t[100])/3) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((40*t[1])/3 - (115*t[2])/6 - (160*t[3])/3 + 130*t[4] - (125*t[5])/6 + 
       (1325*t[6])/48 + (1115*t[7])/12 + (275*t[8])/4 - (65*t[9])/24 + 
       (235*t[10])/6 + (9115*t[11])/48 + (155*t[12])/12 + (9565*t[13])/108 + 
       (5855*t[14])/144 + (26485*t[15])/432 + (40*t[27])/3 + 10*t[28] + 
       (95*t[29])/6 + 15*t[30] + (40*t[31])/3 + (40*t[32])/3 - (40*t[33])/3 - 
       (40*t[34])/3 - 20*t[35] + 10*t[36] + (20*t[38])/3 + (55*t[39])/6 + 
       5*t[40] + (20*t[41])/3 - (20*t[42])/3 + (20*t[43])/3 - (115*t[44])/6 + 
       5*t[46] + (40*t[47])/3 - (35*t[48])/16 + (20*t[49])/3 + 
       (175*t[50])/48 - (5*t[51])/12 - (815*t[52])/48 + 20*t[53] - 
       (545*t[54])/16 + (20*t[59])/3 + (85*t[60])/8 + (3085*t[61])/8 - 
       (1565*t[62])/48 - (1715*t[63])/48 - (4405*t[64])/48 - 
       (3265*t[65])/72 - (7115*t[66])/72 - (80*t[72])/3 + 30*t[73] + 
       30*t[75] + (250*t[76])/3 + (70*t[77])/3 - (380*t[78])/3 - 50*t[79] + 
       (80*t[80])/3 - (5*t[81])/3 - 40*t[82] - 120*t[83] - (1885*t[84])/24 - 
       (1325*t[85])/24 - (730*t[86])/3 - (605*t[87])/24 - (605*t[88])/48 + 
       (4645*t[89])/48 + 40*t[96] + (80*t[97])/3 + 380*t[98] - 380*t[99] - 
       140*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((40*t[1])/3 - (205*t[2])/6 - 50*t[3] + (575*t[4])/24 + (315*t[5])/4 + 
       (175*t[6])/2 - (135*t[7])/2 + (785*t[8])/6 - (755*t[9])/12 + 
       (4285*t[10])/48 - (55*t[11])/2 - (1795*t[12])/48 - (7585*t[13])/216 + 
       (14785*t[14])/96 + (2855*t[15])/144 - (40*t[27])/3 + (80*t[28])/3 + 
       (40*t[29])/3 - (70*t[30])/3 + (40*t[31])/3 - (40*t[34])/3 + 20*t[35] + 
       (20*t[38])/3 + 20*t[39] + (20*t[41])/3 - (20*t[42])/3 + (20*t[43])/3 - 
       (40*t[44])/3 - 5*t[46] + (250*t[48])/3 + (1405*t[49])/16 - 
       (350*t[50])/3 - (1225*t[51])/32 + (310*t[52])/3 - (2935*t[53])/48 + 
       (805*t[54])/24 + (20*t[59])/3 + (85*t[60])/8 + (3085*t[61])/8 - 
       (1565*t[62])/48 - (1715*t[63])/48 - (4405*t[64])/48 - 
       (3265*t[65])/72 - (7115*t[66])/72 - (80*t[72])/3 + 30*t[73] + 
       30*t[75] + (250*t[76])/3 + (70*t[77])/3 - (380*t[78])/3 - 50*t[79] + 
       (80*t[80])/3 - (5*t[81])/3 - 40*t[82] - 120*t[83] - (1885*t[84])/24 - 
       (1325*t[85])/24 - (730*t[86])/3 - (605*t[87])/24 - (605*t[88])/48 + 
       (4645*t[89])/48 + 40*t[96] + (80*t[97])/3 + 380*t[98] - 380*t[99] - 
       140*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*(t[1] + (15*t[2])/2 - (69*t[3])/4 + 
       (117*t[4])/8 - (121*t[5])/16 + (27*t[6])/2 + (33*t[7])/4 + 
       (169*t[8])/2 + (679*t[9])/16 - (273*t[10])/16 + (445*t[11])/8 - 
       11*t[12] + (319*t[13])/24 + (1049*t[14])/32 - (2135*t[15])/288 + 
       2*t[17] - 2*t[19] - 2*t[20] + 6*t[21] - 8*t[22] - 6*t[23] + 16*t[24] + 
       8*t[28] - t[29]/2 - 16*t[30] - 2*t[31] + 6*t[33] + 4*t[34] - 4*t[35] + 
       4*t[36] + 4*t[37] - t[38] + 11*t[39] - (13*t[40])/2 + 2*t[41] - 
       2*t[42] - (25*t[43])/8 - (103*t[44])/4 + (29*t[45])/2 - t[46] - 
       27*t[47] + (47*t[48])/2 + (181*t[49])/16 - (41*t[50])/2 - 
       (249*t[51])/32 + (53*t[52])/2 - (117*t[53])/16 + (83*t[54])/8 + 
       t[55] - t[56] - 2*t[57] - t[59]/2 + (45*t[60])/8 + (1119*t[61])/8 - 
       (1779*t[62])/16 + (307*t[63])/16 + (1199*t[64])/16 - (1753*t[65])/24 - 
       (4439*t[66])/24 - 4*t[68] - 8*t[69] + 10*t[72] - 8*t[73] + 20*t[74] + 
       8*t[75] + 34*t[76] - 2*t[77] - 43*t[78] + 4*t[79] + 5*t[80] + 
       6*t[81] + 7*t[82] + 4*t[83] - (55*t[84])/8 - (71*t[85])/8 + 
       (93*t[86])/2 - (161*t[87])/8 - (161*t[88])/16 - (709*t[89])/16 - 
       t[91]/6 + 6*t[96] + 5*t[97] + 24*t[98] - 12*t[99] - 140*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((3*t[1])/2 - (7*t[2])/2 - (127*t[3])/8 + (31*t[4])/4 - (203*t[5])/16 - 
       (367*t[6])/16 + (261*t[7])/8 + (59*t[8])/8 - (31*t[9])/16 - 
       (7*t[10])/8 + (1651*t[11])/16 + (419*t[12])/16 + (2387*t[13])/48 + 
       (2369*t[14])/48 + (853*t[15])/96 - t[16] + 12*t[25] + t[26] + 
       4*t[27] - 6*t[28] - 3*t[29] + t[30] - t[34] + 2*t[35] - 16*t[36] - 
       2*t[37] + t[38] + 8*t[39] + (15*t[40])/2 + t[41]/2 - t[42]/2 + 
       (5*t[43])/4 + (35*t[44])/2 + (29*t[45])/4 + 2*t[46] - (29*t[47])/2 - 
       (47*t[48])/16 + (23*t[49])/4 - (83*t[50])/16 - (131*t[51])/16 - 
       (29*t[52])/16 + (29*t[53])/4 - (93*t[54])/16 - t[58] - t[59]/2 + 
       (45*t[60])/8 + (1119*t[61])/8 - (1779*t[62])/16 + (307*t[63])/16 + 
       (1199*t[64])/16 - (1753*t[65])/24 - (4439*t[66])/24 - 4*t[68] - 
       8*t[69] + 10*t[72] - 8*t[73] + 20*t[74] + 8*t[75] + 34*t[76] - 
       2*t[77] - 43*t[78] + 4*t[79] + 5*t[80] + 6*t[81] + 7*t[82] + 4*t[83] - 
       (55*t[84])/8 - (71*t[85])/8 + (93*t[86])/2 - (161*t[87])/8 - 
       (161*t[88])/16 - (709*t[89])/16 - t[91]/6 + 6*t[96] + 5*t[97] + 
       24*t[98] - 12*t[99] - 140*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*((-5*t[1])/2 - 7*t[2] + 
       25*t[3] + 20*t[4] + (85*t[5])/4 + (201*t[6])/8 + (71*t[7])/4 - 
       (31*t[8])/4 + (55*t[9])/4 - 62*t[10] + (373*t[11])/8 - t[12] + 
       (1909*t[13])/72 + (49*t[14])/4 + (119*t[15])/72 - 20*t[20] - 
       20*t[28] + 4*t[29] - 6*t[30] - 4*t[31] - 15*t[32] + 2*t[33] + 
       7*t[34] + 4*t[35] - 2*t[36] - 2*t[37] - 2*t[38] + 4*t[39] - t[40] - 
       (9*t[41])/2 + (9*t[42])/2 - (23*t[43])/4 + 4*t[44] - 13*t[45] - 
       2*t[46] + 12*t[47] - (215*t[48])/8 + (47*t[49])/4 - (3*t[50])/8 - 
       (43*t[51])/8 + (11*t[52])/8 - (47*t[53])/4 - (293*t[54])/8 + 4*t[57] - 
       5*t[59] + (47*t[60])/4 + (21*t[61])/4 + (163*t[62])/8 + 
       (237*t[63])/8 + (7*t[64])/8 - (779*t[65])/12 - (133*t[66])/4 - 
       4*t[70] + 4*t[71] - 12*t[72] + 16*t[73] - 2*t[74] - 32*t[75] + 
       17*t[76] - 10*t[77] - 26*t[78] + 4*t[79] + 8*t[80] + 10*t[81] - 
       5*t[82] + 2*t[83] - (11*t[84])/4 + (123*t[85])/4 + 53*t[86] - 
       (215*t[87])/4 - (367*t[88])/8 - (435*t[89])/8 - 2*t[93] + 4*t[95] + 
       4*t[96] - 2*t[97] + 48*t[98] - 12*t[99] - 138*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-5*t[1])/2 + (7*t[2])/2 + 13*t[3] + (85*t[4])/4 - (35*t[5])/2 + 
       (9*t[6])/4 + 2*t[7] - (15*t[8])/2 + (35*t[9])/2 - (765*t[10])/8 + 
       (49*t[11])/2 - (17*t[12])/8 - (565*t[13])/24 + (233*t[14])/48 - 
       (301*t[15])/24 - 4*t[25] + t[26] + 8*t[28] + 2*t[29] + t[34] - 
       4*t[35] + 4*t[36] + 2*t[37] + 2*t[38] + t[40] - t[41]/2 + t[42]/2 + 
       t[43] - 2*t[44] + (5*t[45])/2 + 2*t[46] - 5*t[47] - 5*t[48] + 
       (41*t[49])/8 - 3*t[50] - (17*t[51])/16 + 4*t[52] + (31*t[53])/8 + 
       (37*t[54])/4 - t[58] - 5*t[59] + (47*t[60])/4 + (21*t[61])/4 + 
       (163*t[62])/8 + (237*t[63])/8 + (7*t[64])/8 - (779*t[65])/12 - 
       (133*t[66])/4 - 4*t[70] + 4*t[71] - 12*t[72] + 16*t[73] - 2*t[74] - 
       32*t[75] + 17*t[76] - 10*t[77] - 26*t[78] + 4*t[79] + 8*t[80] + 
       10*t[81] - 5*t[82] + 2*t[83] - (11*t[84])/4 + (123*t[85])/4 + 
       53*t[86] - (215*t[87])/4 - (367*t[88])/8 - (435*t[89])/8 - 2*t[93] + 
       4*t[95] + 4*t[96] - 2*t[97] + 48*t[98] - 12*t[99] - 138*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*
      ((-37*t[1])/2 + (29*t[2])/4 + 29*t[3] - 115*t[4] + (81*t[5])/2 + 
       109*t[6] - (719*t[7])/8 + (1087*t[8])/8 - (1105*t[9])/8 - 
       (97*t[10])/8 + (123*t[11])/8 - (59*t[12])/2 - (24725*t[13])/144 + 
       (511*t[14])/8 - (157*t[15])/16 + 4*t[16] - (5*t[17])/2 - 8*t[18] + 
       96*t[20] - 6*t[21] + 6*t[23] + 2*t[24] - 9*t[25] + 12*t[26] - 
       27*t[27] + 72*t[28] - 12*t[29] - 40*t[30] + 4*t[31] - 12*t[32] + 
       6*t[33] - 18*t[34] + 8*t[36] - 6*t[38] + 42*t[39] - 36*t[40] + 
       (33*t[41])/2 - (39*t[42])/2 + (109*t[43])/8 - 27*t[44] + 
       (219*t[45])/4 - 27*t[46] - (131*t[47])/2 + (429*t[48])/8 + 51*t[49] - 
       (11*t[50])/8 - 24*t[51] + (539*t[52])/8 - 51*t[53] - (133*t[54])/8 + 
       24*t[59] - 48*t[60] + (625*t[61])/2 - 142*t[62] + 124*t[63] - 
       (109*t[64])/4 - 25*t[65] + (458*t[66])/3 - 4*t[67] - 16*t[68] + 
       4*t[69] + 8*t[70] - 8*t[71] + 24*t[72] - 2*t[74] - 12*t[76] + 
       12*t[77] + 12*t[78] - 4*t[80] + 2*t[81] + 10*t[84] - 62*t[85] - 
       55*t[86] + 106*t[87] + 53*t[88] - 52*t[89] - 3*t[92] + 3*t[94] - 
       456*t[98] + 588*t[99] - 138*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*((11*t[1])/2 + (41*t[2])/4 - 121*t[3] + 
       (133*t[4])/2 - 9*t[5] - (101*t[6])/4 + (217*t[7])/8 - (233*t[8])/8 + 
       (411*t[9])/8 + (897*t[10])/8 + (133*t[11])/8 + (207*t[12])/4 + 
       (7963*t[13])/144 + (209*t[14])/6 + (5185*t[15])/48 + 4*t[16] + 
       (15*t[17])/2 - 6*t[18] - 120*t[20] - 10*t[21] + 10*t[23] - 24*t[24] + 
       15*t[25] - 12*t[26] + 21*t[27] - 72*t[28] + 12*t[29] + 40*t[30] - 
       24*t[31] + 12*t[32] - 18*t[33] - 6*t[34] + 8*t[36] - 8*t[38] - 
       30*t[39] + 36*t[40] - (19*t[41])/2 + (13*t[42])/2 + (117*t[43])/8 + 
       21*t[44] - (13*t[45])/4 + 8*t[46] - (11*t[47])/2 - (117*t[48])/8 - 
       (329*t[49])/4 + (19*t[50])/8 + (371*t[51])/8 - (547*t[52])/8 + 
       (329*t[53])/4 + (561*t[54])/8 + 24*t[59] - 48*t[60] + (625*t[61])/2 - 
       142*t[62] + 124*t[63] - (109*t[64])/4 - 25*t[65] + (458*t[66])/3 - 
       4*t[67] - 16*t[68] + 4*t[69] + 8*t[70] - 8*t[71] + 24*t[72] - 
       2*t[74] - 12*t[76] + 12*t[77] + 12*t[78] - 4*t[80] + 2*t[81] + 
       10*t[84] - 62*t[85] - 55*t[86] + 106*t[87] + 53*t[88] - 52*t[89] - 
       3*t[92] + 3*t[94] - 456*t[98] + 588*t[99] - 138*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-25*t[1])/4 + (299*t[2])/8 - (27*t[3])/8 + 177*t[4] + (177*t[5])/4 - 
       (247*t[6])/16 - (295*t[7])/2 - (243*t[8])/2 - 130*t[9] + 
       (165*t[10])/2 + (73*t[11])/16 - (69*t[12])/4 + (5221*t[13])/48 - 
       (1349*t[14])/48 - (949*t[15])/72 - 5*t[16] + 12*t[19] - 12*t[21] + 
       3*t[22] + 12*t[23] + 37*t[25] - 31*t[26] - 29*t[29] + (75*t[30])/2 - 
       6*t[31] - 2*t[32] - 3*t[33] + 18*t[34] + 18*t[35] - 5*t[36] - 
       9*t[37] - (13*t[38])/2 - (29*t[39])/4 + 4*t[40] + (9*t[41])/2 - 
       (9*t[42])/2 + (21*t[43])/4 + 29*t[44] - (25*t[45])/4 - 2*t[46] - 
       (235*t[47])/4 - (823*t[48])/16 + (107*t[49])/4 - (307*t[50])/16 - 
       (73*t[51])/8 + (355*t[52])/16 - (103*t[53])/4 - (809*t[54])/16 - 
       (17*t[59])/8 + (591*t[60])/8 - (1605*t[61])/8 + (4689*t[62])/16 - 
       (629*t[63])/16 - (2591*t[64])/16 - (5405*t[65])/24 - (4349*t[66])/24 + 
       8*t[69] + 66*t[73] + 14*t[74] - 77*t[75] - (141*t[76])/4 + 9*t[77] + 
       62*t[78] - 5*t[79] - (45*t[80])/2 + (167*t[81])/4 - (63*t[82])/4 - 
       75*t[83] - (131*t[84])/8 - (287*t[85])/8 - 187*t[86] - (113*t[87])/8 - 
       (161*t[88])/16 - (1679*t[89])/16 + 20*t[95] + t[97]/4 + 12*t[98] - 
       24*t[99] - (273*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((309*t[1])/8 - (131*t[2])/8 + t[3] + 
       (109*t[4])/8 + (313*t[5])/8 - (151*t[6])/4 - (201*t[7])/2 - 174*t[8] - 
       (97*t[9])/8 - (1925*t[10])/16 - 52*t[11] - (1833*t[12])/16 - 
       (765*t[13])/16 - (2953*t[14])/96 - (65*t[15])/12 + (11*t[19])/3 - 
       3*t[21] - 15*t[22] + 3*t[23] - 3*t[25] - (127*t[26])/4 + 42*t[28] + 
       26*t[29] - 48*t[30] - 24*t[31] - 3*t[32] + 9*t[33] + t[34]/4 - 
       38*t[35] + 10*t[36] + (17*t[37])/2 + (69*t[38])/2 - 3*t[39] + 
       (7*t[40])/2 - t[41]/8 + t[42]/8 + (57*t[43])/4 - 24*t[44] + 
       (15*t[45])/2 + 3*t[46] - 90*t[47] + (127*t[48])/4 + (229*t[49])/16 + 
       (47*t[50])/4 + (673*t[51])/32 - 13*t[52] + (59*t[53])/16 - 
       (5*t[54])/8 - t[58]/4 - (17*t[59])/8 + (591*t[60])/8 - 
       (1605*t[61])/8 + (4689*t[62])/16 - (629*t[63])/16 - (2591*t[64])/16 - 
       (5405*t[65])/24 - (4349*t[66])/24 + 8*t[69] + 66*t[73] + 14*t[74] - 
       77*t[75] - (141*t[76])/4 + 9*t[77] + 62*t[78] - 5*t[79] - 
       (45*t[80])/2 + (167*t[81])/4 - (63*t[82])/4 - 75*t[83] - 
       (131*t[84])/8 - (287*t[85])/8 - 187*t[86] - (113*t[87])/8 - 
       (161*t[88])/16 - (1679*t[89])/16 + 20*t[95] + t[97]/4 + 12*t[98] - 
       24*t[99] - (273*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*(-3*t[1] + (11*t[2])/2 - (77*t[3])/4 - 
       (14*t[4])/3 - (499*t[5])/24 + (5*t[6])/2 + (493*t[7])/12 - 
       (383*t[8])/12 + (1447*t[9])/24 - (437*t[10])/12 + 57*t[11] + 
       (291*t[12])/8 + (643*t[13])/18 + (1243*t[14])/36 + t[15]/144 - 
       2*t[16] + 7*t[25] - 5*t[26] - t[29]/2 - 2*t[30] + 8*t[34] + 19*t[36] - 
       4*t[38] - 4*t[40] + (73*t[44])/4 - 7*t[45] + (9*t[46])/2 + 5*t[47] - 
       (49*t[48])/4 - (67*t[49])/6 - (11*t[50])/4 - (21*t[51])/8 + 
       (31*t[52])/4 + (29*t[53])/3 - (67*t[54])/12 + t[59]/2 + 
       (169*t[60])/3 + (203*t[61])/3 - (341*t[62])/24 - (423*t[63])/8 - 
       (379*t[64])/3 - (187*t[65])/36 - (2053*t[66])/12 - t[69] + 33*t[73] + 
       4*t[74] - 68*t[75] + 3*t[76] + 6*t[78] + 19*t[79] + 10*t[80] + 
       (13*t[81])/2 - t[82]/2 + (49*t[83])/6 + (211*t[84])/12 + 
       (137*t[85])/6 - (17*t[86])/3 - (53*t[87])/2 - (25*t[88])/4 - 
       (673*t[89])/24 + t[97] + 24*t[98] - 8*t[99] - (273*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      (t[1]/2 + (83*t[2])/4 + (46*t[3])/3 + (167*t[4])/4 + (367*t[5])/12 + 
       (97*t[6])/6 + (7*t[7])/12 + (241*t[8])/12 + 17*t[9] - (839*t[10])/24 + 
       (185*t[11])/3 - (71*t[12])/24 + (1775*t[13])/36 + (1079*t[14])/36 + 
       (805*t[15])/72 + t[20] + 4*t[22] - 3*t[26] - (17*t[28])/3 - t[29]/3 - 
       (44*t[30])/3 - 2*t[32] + t[33] + t[34] - 5*t[37] + 2*t[38] + 2*t[40] - 
       (5*t[41])/2 + (5*t[42])/2 + (34*t[44])/3 - 4*t[47] + (19*t[48])/2 + 
       (33*t[49])/8 - (67*t[50])/6 - (31*t[51])/8 + (37*t[52])/6 - 
       (33*t[53])/8 - (73*t[54])/12 - t[58] + t[59]/2 + (169*t[60])/3 + 
       (203*t[61])/3 - (341*t[62])/24 - (423*t[63])/8 - (379*t[64])/3 - 
       (187*t[65])/36 - (2053*t[66])/12 - t[69] + 33*t[73] + 4*t[74] - 
       68*t[75] + 3*t[76] + 6*t[78] + 19*t[79] + 10*t[80] + (13*t[81])/2 - 
       t[82]/2 + (49*t[83])/6 + (211*t[84])/12 + (137*t[85])/6 - 
       (17*t[86])/3 - (53*t[87])/2 - (25*t[88])/4 - (673*t[89])/24 + t[97] + 
       24*t[98] - 8*t[99] - (273*t[100])/2) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*(-t[1] + (17*t[2])/8 - 
       (43*t[3])/4 + (127*t[4])/4 - (417*t[5])/8 + (247*t[6])/8 + 
       (371*t[7])/16 + (285*t[8])/16 + (751*t[9])/16 - (805*t[10])/16 + 
       (1587*t[11])/16 + (13*t[12])/4 - (2129*t[13])/96 + (365*t[14])/4 - 
       (211*t[15])/96 - 2*t[16] - (5*t[17])/4 - t[18] + 8*t[19] + 15*t[20] - 
       5*t[21] + 5*t[23] - t[24] + (5*t[25])/2 - 2*t[26] - (13*t[27])/2 + 
       14*t[28] + 3*t[29] - 6*t[30] - 3*t[31] - t[32] - t[33] + (5*t[34])/2 + 
       2*t[35] - 2*t[36] + 2*t[38] + 7*t[39] - (15*t[40])/2 + t[41]/2 - 
       t[42] + (27*t[43])/16 - (11*t[44])/2 + (53*t[45])/8 - (11*t[46])/2 - 
       (79*t[47])/4 - (67*t[48])/16 + (149*t[49])/8 + (229*t[50])/16 - 
       (149*t[51])/16 + (35*t[52])/16 - (149*t[53])/8 + (63*t[54])/16 - 
       4*t[57] - t[58] - (5*t[59])/2 + (275*t[60])/4 + (453*t[61])/2 - 
       (491*t[62])/8 + (935*t[63])/8 - (433*t[64])/4 - (919*t[65])/12 - 
       (1355*t[66])/12 + 2*t[67] + 8*t[68] - 9*t[69] + t[70] - t[71] + 
       6*t[72] + 3*t[74] - 4*t[75] - 8*t[76] - 8*t[77] + 24*t[78] - 
       37*t[80] + 9*t[81] - 18*t[82] + 12*t[83] + (105*t[84])/4 - 
       (73*t[85])/4 - (11*t[86])/2 - (193*t[87])/4 - (193*t[88])/8 - 
       (683*t[89])/8 + t[92]/2 - t[94]/2 + 60*t[98] - 58*t[99] - 
       135*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*(-t[1]/2 + (65*t[2])/8 - 32*t[3] + 
       (193*t[4])/4 - (135*t[5])/8 - (39*t[6])/8 + (663*t[7])/16 - 
       (239*t[8])/16 + (627*t[9])/16 + (383*t[10])/16 + (1263*t[11])/16 + 
       (3*t[12])/4 + (437*t[13])/32 + (567*t[14])/8 + (2549*t[15])/96 - 
       2*t[16] - (9*t[17])/4 + 5*t[18] + 3*t[19] - 21*t[20] - 4*t[21] + 
       2*t[22] + 4*t[23] - t[24] + (9*t[25])/2 - 6*t[26] - t[27]/2 - 
       20*t[28] + 13*t[29] + 8*t[30] - 14*t[31] + 3*t[32] - 5*t[33] - 
       (9*t[34])/2 + 2*t[35] - 2*t[36] + t[38] - 5*t[39] + (19*t[40])/2 - 
       4*t[41] + (7*t[42])/2 - (49*t[43])/16 + (21*t[44])/2 + (73*t[45])/8 - 
       6*t[46] - (67*t[47])/4 - (91*t[48])/16 + (53*t[49])/8 + 
       (237*t[50])/16 + (81*t[51])/16 - (469*t[52])/16 - (53*t[53])/8 - 
       (145*t[54])/16 + 4*t[57] - t[58] - (5*t[59])/2 + (275*t[60])/4 + 
       (453*t[61])/2 - (491*t[62])/8 + (935*t[63])/8 - (433*t[64])/4 - 
       (919*t[65])/12 - (1355*t[66])/12 + 2*t[67] + 8*t[68] - 9*t[69] + 
       t[70] - t[71] + 6*t[72] + 3*t[74] - 4*t[75] - 8*t[76] - 8*t[77] + 
       24*t[78] - 37*t[80] + 9*t[81] - 18*t[82] + 12*t[83] + (105*t[84])/4 - 
       (73*t[85])/4 - (11*t[86])/2 - (193*t[87])/4 - (193*t[88])/8 - 
       (683*t[89])/8 + t[92]/2 - t[94]/2 + 60*t[98] - 58*t[99] - 
       135*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(t[1] + 20*t[2] - (251*t[3])/4 + 
       (211*t[4])/4 - (965*t[5])/16 + (11*t[6])/4 + (153*t[7])/4 + 
       (75*t[8])/2 + (1363*t[9])/16 - (163*t[10])/8 + (667*t[11])/8 - 
       (197*t[12])/16 + (137*t[13])/3 + (1201*t[14])/12 + (1319*t[15])/288 + 
       t[17] + 2*t[20] + 4*t[21] + 6*t[22] - 4*t[23] + 20*t[24] + 4*t[27] + 
       8*t[28] - (13*t[29])/2 - 10*t[30] - 2*t[31] + 2*t[33] + 4*t[34] - 
       12*t[35] + 4*t[36] - 2*t[37] - t[38] + 11*t[39] - (13*t[40])/2 + 
       5*t[41] - 5*t[42] - (41*t[43])/8 - (7*t[44])/4 + (25*t[45])/2 + 
       3*t[46] - 19*t[47] + (9*t[48])/4 - (17*t[49])/8 - (3*t[50])/4 - 
       (59*t[51])/16 + (19*t[52])/4 + (49*t[53])/8 - 5*t[54] - t[55] + 
       t[56] - 2*t[57] + (3*t[59])/2 + (565*t[60])/4 + (329*t[61])/2 - 
       (761*t[62])/8 + (233*t[63])/8 - 59*t[64] - (460*t[65])/3 - 
       (1271*t[66])/6 - 2*t[68] + 4*t[72] + 2*t[73] + 28*t[74] - 14*t[75] + 
       30*t[76] - 23*t[78] - 2*t[79] + 13*t[80] + 10*t[81] - 18*t[82] + 
       6*t[83] + (87*t[84])/4 + (13*t[85])/4 - (31*t[86])/2 - 74*t[87] - 
       37*t[88] - (339*t[89])/8 - t[91]/6 + 6*t[96] + 5*t[97] + 12*t[98] + 
       24*t[99] - 130*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*((17*t[1])/2 - (7*t[2])/2 - (155*t[3])/8 + 
       (145*t[4])/4 + (69*t[5])/16 - (31*t[6])/4 + (99*t[7])/8 - 
       (227*t[8])/8 + (283*t[9])/16 + (491*t[10])/8 + 69*t[11] - 
       (573*t[12])/16 + (1151*t[13])/48 + (1285*t[14])/12 + (191*t[15])/96 + 
       8*t[25] + t[26] - 4*t[28] - (9*t[29])/2 - 4*t[30] - 6*t[31] - t[34] + 
       2*t[35] - 24*t[36] - 8*t[37] + 5*t[38] + (27*t[39])/2 + (7*t[40])/2 + 
       t[41]/2 - t[42]/2 + (9*t[43])/4 + 18*t[44] + (45*t[45])/4 - 
       (45*t[47])/2 + (9*t[48])/8 + (35*t[49])/2 - (109*t[50])/8 - 
       (225*t[51])/16 + (53*t[52])/8 - (49*t[53])/2 - (29*t[54])/8 - t[58] + 
       (3*t[59])/2 + (565*t[60])/4 + (329*t[61])/2 - (761*t[62])/8 + 
       (233*t[63])/8 - 59*t[64] - (460*t[65])/3 - (1271*t[66])/6 - 2*t[68] + 
       4*t[72] + 2*t[73] + 28*t[74] - 14*t[75] + 30*t[76] - 23*t[78] - 
       2*t[79] + 13*t[80] + 10*t[81] - 18*t[82] + 6*t[83] + (87*t[84])/4 + 
       (13*t[85])/4 - (31*t[86])/2 - 74*t[87] - 37*t[88] - (339*t[89])/8 - 
       t[91]/6 + 6*t[96] + 5*t[97] + 12*t[98] + 24*t[99] - 130*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((38*t[1])/3 - (431*t[2])/12 + 41*t[3] + (2477*t[4])/48 + 
       (2195*t[5])/32 + (193*t[6])/16 - (711*t[7])/8 + 14*t[8] - 
       (6307*t[9])/96 + (13231*t[10])/96 - (44*t[11])/3 - (1669*t[12])/48 - 
       (30017*t[13])/432 + (6587*t[14])/64 - (36053*t[15])/1728 - 
       (5*t[17])/3 + (4*t[19])/3 - 14*t[20] - 6*t[21] + 12*t[22] + 
       (26*t[23])/3 + (13*t[24])/3 + 11*t[27] + (173*t[29])/12 - 
       (59*t[30])/3 + 32*t[31] - 4*t[32] - 20*t[33] + (4*t[34])/3 + 
       26*t[35] - (4*t[37])/3 + 7*t[38] + (62*t[39])/3 - (35*t[40])/12 + 
       t[41]/2 - t[42]/2 + (95*t[43])/16 - (73*t[44])/8 - (221*t[45])/12 + 
       t[46] + (97*t[47])/6 + (1253*t[48])/48 + (2367*t[49])/32 - 
       (6167*t[50])/48 - (10465*t[51])/192 + (4663*t[52])/48 - 
       (1599*t[53])/32 - (1259*t[54])/24 - (5*t[55])/3 + (5*t[56])/2 - 
       t[57] - t[59]/4 - (2383*t[60])/16 + (2147*t[61])/16 - (11*t[62])/32 - 
       (4831*t[63])/96 - (4309*t[64])/32 + (5801*t[65])/144 - 
       (12913*t[66])/144 + (13*t[68])/3 + t[69] - (16*t[70])/3 + 
       (16*t[71])/3 - 40*t[72] + 18*t[73] - (25*t[74])/3 + 18*t[75] + 
       (177*t[76])/2 + 12*t[77] - (461*t[78])/3 + 34*t[79] + (47*t[80])/6 + 
       (85*t[81])/6 - (4*t[82])/3 - (107*t[83])/2 - (4681*t[84])/48 - 
       (103*t[85])/16 - (795*t[86])/4 - (105*t[87])/16 - (809*t[88])/32 + 
       (1243*t[89])/32 + t[91]/12 - 5*t[93] + (26*t[95])/3 + (125*t[96])/3 + 
       (53*t[97])/2 + 524*t[98] - 588*t[99] - 122*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((241*t[1])/12 - (265*t[2])/12 - (713*t[3])/48 + (313*t[4])/6 + 
       (3263*t[5])/96 - (1007*t[6])/96 + (2625*t[7])/16 - (5231*t[8])/48 + 
       (1751*t[9])/96 + (65*t[10])/8 + (18635*t[11])/96 + (1807*t[12])/96 + 
       (16849*t[13])/288 - (379*t[14])/36 + (54917*t[15])/1728 + t[16]/3 - 
       (26*t[25])/3 - (61*t[26])/6 - 4*t[27] - 16*t[28] + (41*t[29])/6 + 
       (7*t[30])/6 - 3*t[31] + 10*t[32] - 10*t[33] - (91*t[34])/6 - 
       18*t[35] + 16*t[36] + (10*t[37])/3 + (53*t[38])/3 + (19*t[39])/6 + 
       (13*t[40])/4 + (91*t[41])/12 - (91*t[42])/12 + (49*t[43])/8 + 
       (67*t[44])/12 + (61*t[45])/8 + 5*t[46] - (21*t[47])/4 - 
       (3187*t[48])/96 + (1619*t[49])/48 + (3529*t[50])/96 - (5*t[51])/12 - 
       (4249*t[52])/96 + (423*t[53])/16 - (2231*t[54])/32 - (5*t[58])/6 - 
       t[59]/4 - (2383*t[60])/16 + (2147*t[61])/16 - (11*t[62])/32 - 
       (4831*t[63])/96 - (4309*t[64])/32 + (5801*t[65])/144 - 
       (12913*t[66])/144 + (13*t[68])/3 + t[69] - (16*t[70])/3 + 
       (16*t[71])/3 - 40*t[72] + 18*t[73] - (25*t[74])/3 + 18*t[75] + 
       (177*t[76])/2 + 12*t[77] - (461*t[78])/3 + 34*t[79] + (47*t[80])/6 + 
       (85*t[81])/6 - (4*t[82])/3 - (107*t[83])/2 - (4681*t[84])/48 - 
       (103*t[85])/16 - (795*t[86])/4 - (105*t[87])/16 - (809*t[88])/32 + 
       (1243*t[89])/32 + t[91]/12 - 5*t[93] + (26*t[95])/3 + (125*t[96])/3 + 
       (53*t[97])/2 + 524*t[98] - 588*t[99] - 122*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]^2*(-6*t[1] - (3*t[2])/2 - 
       (35*t[3])/4 + (37*t[4])/4 - (151*t[5])/8 + (139*t[6])/8 + 11*t[7] + 
       (67*t[8])/2 + (31*t[9])/8 - (117*t[10])/4 + (361*t[11])/8 + 
       (121*t[12])/8 + (1505*t[13])/72 + (2143*t[14])/48 + (551*t[15])/48 + 
       t[16] + 6*t[25] + t[26] - 6*t[27] - 2*t[28] + 2*t[29] - 4*t[30] - 
       4*t[31] + 4*t[35] + 3*t[36] - 5*t[37] - 7*t[38] + 3*t[40] - 2*t[43] - 
       2*t[44] - 3*t[45] - 2*t[46] + 6*t[47] + (125*t[48])/8 + (7*t[49])/2 - 
       (79*t[50])/8 - (61*t[51])/16 + (47*t[52])/8 - 9*t[53] + (73*t[54])/8 + 
       4*t[59] + (169*t[60])/4 + (369*t[61])/2 - (107*t[62])/4 + 
       (351*t[63])/4 - (63*t[64])/4 - (67*t[65])/12 - (515*t[66])/12 + 
       2*t[70] - 2*t[71] + 3*t[72] - t[74] - 15*t[76] - 5*t[77] + 27*t[78] + 
       10*t[80] + (7*t[81])/2 - (7*t[82])/2 - 16*t[83] + (47*t[84])/4 - 
       29*t[85] - 14*t[86] - (23*t[87])/2 + (9*t[88])/4 - (183*t[89])/8 - 
       2*t[95] - 2*t[96] + 2*t[97] - 48*t[98] + 78*t[99] - (225*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]^2*(t[1] - (5*t[2])/4 - 
       (233*t[3])/8 - (55*t[4])/4 + (9*t[5])/8 + 33*t[6] + (91*t[7])/4 + 
       (335*t[8])/4 + (89*t[9])/8 - (35*t[10])/8 + 25*t[11] + 17*t[12] + 
       (53*t[13])/24 + (979*t[14])/16 + (251*t[15])/9 + 4*t[19] + 3*t[20] + 
       3*t[21] - 2*t[22] - 3*t[23] + 2*t[24] - 5*t[27] - 2*t[28] + 
       (7*t[29])/2 + t[30] + 2*t[31] + (15*t[32])/2 + t[33] - 6*t[34] - 
       2*t[35] + 6*t[36] - t[37] + 2*t[39] + 2*t[41] - 2*t[42] + 
       (5*t[43])/2 - (11*t[44])/4 + 5*t[45] - 2*t[46] - 12*t[47] + 
       (73*t[48])/4 - (53*t[49])/8 + (9*t[50])/4 + (69*t[51])/16 + 
       (11*t[52])/4 + (53*t[53])/8 + (127*t[54])/4 + 4*t[59] + 
       (169*t[60])/4 + (369*t[61])/2 - (107*t[62])/4 + (351*t[63])/4 - 
       (63*t[64])/4 - (67*t[65])/12 - (515*t[66])/12 + 2*t[70] - 2*t[71] + 
       3*t[72] - t[74] - 15*t[76] - 5*t[77] + 27*t[78] + 10*t[80] + 
       (7*t[81])/2 - (7*t[82])/2 - 16*t[83] + (47*t[84])/4 - 29*t[85] - 
       14*t[86] - (23*t[87])/2 + (9*t[88])/4 - (183*t[89])/8 - 2*t[95] - 
       2*t[96] + 2*t[97] - 48*t[98] + 78*t[99] - (225*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((7*t[1])/2 - 16*t[2] + (19*t[3])/4 + (167*t[4])/8 + (29*t[5])/2 - 
       (3*t[6])/8 - 47*t[7] - (67*t[8])/2 - (27*t[9])/4 + (101*t[10])/16 - 
       (323*t[11])/8 - (343*t[12])/16 + (290*t[13])/9 - (1505*t[14])/96 + 
       t[15]/48 - 9*t[26] - 2*t[27] + 10*t[28] + 2*t[29] - 8*t[30] + 
       20*t[31] + t[34] + 18*t[35] - t[36] - 6*t[37] + 7*t[38] + 9*t[39] - 
       t[41]/2 + t[42]/2 + t[43] - 2*t[44] + 6*t[45] + t[46] - 12*t[47] + 
       t[48]/8 + (183*t[49])/16 - (355*t[50])/8 - (91*t[51])/32 + 
       (219*t[52])/8 - (119*t[53])/16 + 4*t[54] - 3*t[58] - (7*t[59])/2 + 
       (577*t[60])/8 + (153*t[61])/8 + (1367*t[62])/16 - (423*t[63])/16 - 
       (1583*t[64])/16 + (2885*t[65])/72 - (307*t[66])/24 - 4*t[72] + 
       18*t[73] + 6*t[74] - 19*t[75] + 35*t[76] + 14*t[77] - 28*t[78] - 
       t[79] - 2*t[80] + 12*t[81] - 7*t[82] - 23*t[83] - (11*t[84])/8 + 
       (285*t[85])/8 - 129*t[86] - (699*t[87])/8 - (699*t[88])/16 + 
       (911*t[89])/16 + 6*t[96] + 7*t[97] + 228*t[98] - 216*t[99] - 
       111*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (15*t[1] - 108*t[2] + (1151*t[3])/8 - 18*t[4] + (329*t[5])/8 - 
       (535*t[6])/8 - (27*t[7])/2 + (197*t[8])/4 - (1045*t[9])/8 - 
       (111*t[10])/4 + (1535*t[11])/8 - (169*t[12])/8 - (2677*t[13])/72 - 
       (1223*t[14])/12 + (395*t[15])/4 + 4*t[16] + 8*t[25] + 14*t[26] + 
       (207*t[29])/2 - 2*t[30] - 96*t[34] - 24*t[36] - 32*t[37] - 
       (29*t[38])/2 + 18*t[39] - (75*t[40])/4 - (3*t[43])/2 + (51*t[44])/4 + 
       9*t[45] + 30*t[46] - 18*t[47] + (957*t[48])/8 - (121*t[49])/2 + 
       (185*t[50])/8 - (37*t[51])/4 - (185*t[52])/8 + (115*t[53])/2 - 
       (361*t[54])/8 + 11*t[59] - (1625*t[60])/4 + (1555*t[61])/4 - 
       (241*t[62])/4 + (611*t[63])/4 + (145*t[64])/8 + (1199*t[65])/6 + 
       (1031*t[66])/6 - 4*t[67] - 56*t[69] + 40*t[70] - 40*t[71] + 56*t[74] - 
       4*t[75] + 45*t[76] + 6*t[77] - 60*t[78] + 28*t[79] - 32*t[80] - 
       72*t[81] - 2*t[82] - 76*t[83] - (55*t[84])/2 - 73*t[85] - 56*t[86] + 
       28*t[87] + 14*t[88] - (117*t[89])/8 + 40*t[99] - 110*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w]*(-72*t[1] + 106*t[2] + 
       (113*t[3])/4 - (507*t[4])/4 + (419*t[5])/8 + (177*t[6])/2 - 
       (119*t[7])/4 + (115*t[8])/4 - (93*t[9])/8 + (821*t[10])/8 - 
       (547*t[11])/4 + (715*t[12])/4 - (1927*t[13])/36 + (1703*t[14])/12 + 
       (301*t[15])/144 + (20*t[18])/3 - t[19] + 6*t[22] + 72*t[26] - 
       20*t[28] - 8*t[29] - 4*t[30] - 40*t[35] - (5*t[37])/2 - 72*t[38] - 
       3*t[41] + 3*t[42] - (3*t[43])/2 + 20*t[44] + 13*t[45] - 2*t[46] - 
       30*t[47] + (99*t[48])/2 - (213*t[49])/8 - (105*t[50])/2 - 18*t[51] + 
       (105*t[52])/2 + (165*t[53])/8 + (431*t[54])/2 + 11*t[59] - 
       (1625*t[60])/4 + (1555*t[61])/4 - (241*t[62])/4 + (611*t[63])/4 + 
       (145*t[64])/8 + (1199*t[65])/6 + (1031*t[66])/6 - 4*t[67] - 56*t[69] + 
       40*t[70] - 40*t[71] + 56*t[74] - 4*t[75] + 45*t[76] + 6*t[77] - 
       60*t[78] + 28*t[79] - 32*t[80] - 72*t[81] - 2*t[82] - 76*t[83] - 
       (55*t[84])/2 - 73*t[85] - 56*t[86] + 28*t[87] + 14*t[88] - 
       (117*t[89])/8 + 40*t[99] - 110*t[100]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - v]*(-12*t[1] - (41*t[3])/2 - 48*t[4] - 
       13*t[5] - (17*t[6])/2 + 48*t[7] - 61*t[8] + (103*t[9])/2 - 41*t[10] + 
       (115*t[11])/2 + 56*t[12] + (272*t[13])/3 - (56*t[14])/3 + 
       (223*t[15])/12 + 26*t[25] - 15*t[26] - (23*t[29])/2 - 4*t[30] + 
       44*t[36] + 12*t[37] - 8*t[38] + t[39] - t[40] + (63*t[44])/2 + 
       2*t[46] - (13*t[48])/2 - 17*t[49] + (23*t[50])/2 + 7*t[51] - 
       (23*t[52])/2 + 17*t[53] - (35*t[54])/2 + 12*t[59] + 40*t[60] + 
       (107*t[61])/2 + (49*t[62])/4 - (633*t[63])/4 + (33*t[64])/4 + 
       (487*t[65])/3 - (538*t[66])/3 - 12*t[69] - 12*t[70] + 12*t[71] + 
       48*t[73] - 64*t[75] + 26*t[76] - 30*t[78] + 44*t[79] + 12*t[81] - 
       10*t[82] - 72*t[83] + 38*t[84] + 19*t[85] - 68*t[86] + 3*t[87] + 
       (3*t[88])/2 + (97*t[89])/2 - 108*t[100]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w]*(-42*t[2] - 13*t[3] + 27*t[4] + 
       14*t[5] + 48*t[6] - 112*t[7] + 144*t[8] + 27*t[9] + (59*t[10])/2 + 
       5*t[11] + 7*t[12] + (190*t[13])/3 + (41*t[14])/8 + t[15]/3 + 4*t[18] + 
       36*t[28] + 4*t[29] - 24*t[30] - 24*t[32] + 12*t[33] - 88*t[35] + 
       2*t[37] - 24*t[44] + 53*t[48] - 9*t[49] - 41*t[50] - (29*t[51])/8 + 
       41*t[52] + 9*t[53] + 34*t[54] + 12*t[59] + 40*t[60] + (107*t[61])/2 + 
       (49*t[62])/4 - (633*t[63])/4 + (33*t[64])/4 + (487*t[65])/3 - 
       (538*t[66])/3 - 12*t[69] - 12*t[70] + 12*t[71] + 48*t[73] - 64*t[75] + 
       26*t[76] - 30*t[78] + 44*t[79] + 12*t[81] - 10*t[82] - 72*t[83] + 
       38*t[84] + 19*t[85] - 68*t[86] + 3*t[87] + (3*t[88])/2 + 
       (97*t[89])/2 - 108*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*(9*t[3] - (201*t[4])/4 + (7*t[5])/4 - 
       (75*t[6])/4 + (53*t[7])/2 + (53*t[8])/2 - (43*t[9])/4 - 
       (611*t[10])/8 + (85*t[11])/4 + (163*t[12])/8 + t[13]/12 - 
       (449*t[14])/24 - (28*t[15])/3 - 12*t[28] - 12*t[31] + 12*t[35] + 
       22*t[36] + (9*t[37])/2 - 12*t[39] + 12*t[40] - 12*t[45] - 15*t[46] + 
       24*t[47] - (3*t[48])/4 - (75*t[49])/8 + (21*t[50])/4 + (37*t[51])/8 - 
       (21*t[52])/4 + (75*t[53])/8 - (27*t[54])/4 + (13*t[59])/4 - 
       (117*t[60])/4 - 22*t[61] - (159*t[62])/2 + (67*t[63])/2 + 
       (687*t[64])/4 + (263*t[65])/6 + (115*t[66])/2 - 12*t[74] - 20*t[75] - 
       12*t[77] - 12*t[78] + 10*t[79] + 24*t[80] - 15*t[81] + 15*t[82] + 
       28*t[83] - (15*t[84])/2 - 3*t[85] + 154*t[86] + (267*t[87])/4 + 
       (273*t[88])/8 - (77*t[89])/8 + 24*t[99] - 108*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*((-11*t[2])/4 + 33*t[3] - 
       42*t[4] - (17*t[5])/4 - (99*t[6])/8 + (247*t[7])/4 + 70*t[8] - 
       11*t[9] - 37*t[10] - (49*t[11])/8 + (47*t[12])/4 - (175*t[13])/6 - 
       (1037*t[14])/24 - (69*t[15])/4 - 20*t[28] + 9*t[29] + (3*t[30])/2 + 
       12*t[32] - 12*t[33] + 6*t[34] + 12*t[35] + 12*t[36] + 6*t[43] + 
       (111*t[44])/4 - (57*t[48])/8 - 6*t[49] + (27*t[50])/8 + 3*t[51] - 
       (27*t[52])/8 + 6*t[53] + (21*t[54])/8 + (13*t[59])/4 - (117*t[60])/4 - 
       22*t[61] - (159*t[62])/2 + (67*t[63])/2 + (687*t[64])/4 + 
       (263*t[65])/6 + (115*t[66])/2 - 12*t[74] - 20*t[75] - 12*t[77] - 
       12*t[78] + 10*t[79] + 24*t[80] - 15*t[81] + 15*t[82] + 28*t[83] - 
       (15*t[84])/2 - 3*t[85] + 154*t[86] + (267*t[87])/4 + (273*t[88])/8 - 
       (77*t[89])/8 + 24*t[99] - 108*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*(6*t[1] + 4*t[2] + 
       (149*t[3])/8 - (25*t[4])/12 + (315*t[5])/16 - (329*t[6])/24 + 
       (619*t[7])/24 - (199*t[8])/24 + (2419*t[9])/48 + (53*t[10])/12 + 
       (131*t[11])/8 + (209*t[12])/48 - (12949*t[13])/432 + (911*t[14])/24 - 
       (3629*t[15])/288 - (19*t[17])/6 + 7*t[18] + t[19] + 2*t[20] + 
       (11*t[21])/3 - (22*t[22])/3 - (13*t[23])/3 + 6*t[24] - (7*t[25])/3 - 
       (2*t[26])/3 - t[27] + 8*t[28] - (5*t[29])/3 - 4*t[30] - (43*t[31])/3 - 
       (4*t[32])/3 + 12*t[34] - 8*t[35] + 8*t[36] + 5*t[37] + (7*t[38])/3 + 
       13*t[39] - 7*t[40] - t[41]/6 + (5*t[42])/2 - 2*t[43] - (3*t[44])/2 - 
       (89*t[45])/6 - (10*t[46])/3 + 11*t[47] + 9*t[48] + (407*t[49])/24 + 
       (5*t[50])/6 - (85*t[51])/16 + (7*t[52])/6 - (125*t[53])/8 - 
       (25*t[54])/4 + (2*t[58])/3 - (4*t[59])/3 + (397*t[60])/6 + 
       (293*t[61])/3 - (551*t[62])/12 + (233*t[63])/4 - (49*t[64])/2 + 
       (211*t[65])/36 - (3989*t[66])/36 + 2*t[67] - t[68]/3 + 3*t[69] - 
       5*t[70] + 5*t[71] + (2*t[72])/3 - 6*t[74] - 2*t[75] + (59*t[76])/3 - 
       5*t[77] - 18*t[78] + 8*t[79] + (103*t[80])/3 + (35*t[81])/3 + 
       (14*t[82])/3 + 15*t[83] + (9*t[84])/2 - (10*t[85])/3 - 10*t[86] - 
       (239*t[87])/6 - (239*t[88])/12 - (187*t[89])/6 + t[90]/3 - t[92]/3 - 
       t[94]/3 + 2*t[96] + 3*t[97] + 128*t[98] - 124*t[99] - 104*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-59*t[2])/12 + (173*t[3])/3 - (7*t[4])/2 + (75*t[5])/8 - 
       (737*t[6])/12 + (113*t[7])/6 - (311*t[8])/3 - (481*t[9])/24 - 
       (55*t[10])/12 + (257*t[11])/6 + (79*t[12])/24 + (871*t[13])/108 - 
       (1219*t[14])/36 - (6703*t[15])/432 + t[22] - (4*t[23])/3 - 10*t[28] + 
       (28*t[29])/3 - (4*t[30])/3 - 2*t[31] + (5*t[32])/6 - (25*t[33])/3 - 
       (17*t[34])/3 + 12*t[35] - (2*t[37])/3 + t[38]/3 + (4*t[39])/3 - 
       t[40] - t[43]/3 - (5*t[44])/4 - 2*t[45] + t[46] + 2*t[47] - 
       (251*t[48])/12 + (49*t[49])/12 + (85*t[50])/4 - (9*t[51])/8 - 
       (271*t[52])/12 - (11*t[53])/4 - (201*t[54])/4 - (11*t[59])/3 - 
       (457*t[60])/12 - (263*t[61])/12 - (325*t[62])/4 + 18*t[63] + 
       (585*t[64])/8 - (751*t[65])/18 - (508*t[66])/9 + 2*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 + 4*t[72] + 2*t[73] - (32*t[74])/3 + 
       (11*t[76])/3 - 4*t[77] - 5*t[78] + (16*t[80])/3 - (3*t[81])/2 + 
       (7*t[82])/2 + 32*t[83] - (161*t[84])/6 - (265*t[85])/12 + 
       (260*t[86])/3 - (15*t[87])/4 - (365*t[88])/24 - 61*t[89] + 
       (28*t[95])/3 + (10*t[96])/3 + t[97]/3 + 24*t[98] - 16*t[99] - 
       (203*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((49*t[1])/6 + t[2]/2 - (7*t[3])/6 - 
       (61*t[4])/6 - (167*t[5])/12 - (127*t[6])/8 + (32*t[7])/3 + 15*t[8] + 
       (109*t[9])/12 + (119*t[10])/6 - (145*t[11])/24 - (41*t[12])/4 - 
       (164*t[13])/9 + (1769*t[14])/144 - (133*t[15])/72 + t[16] + 
       (2*t[19])/3 + 3*t[25] - 10*t[26] + 4*t[27] - 4*t[28] - 2*t[29] - 
       4*t[31] - t[34] + 2*t[35] + (32*t[36])/3 + (22*t[38])/3 - 
       (7*t[39])/3 + (10*t[40])/3 + t[41]/2 - t[42]/2 - (4*t[45])/3 - 
       (17*t[46])/6 + (8*t[47])/3 - (89*t[48])/24 + (71*t[49])/4 + 
       (53*t[50])/8 + (107*t[51])/48 - (103*t[52])/24 - (143*t[53])/12 + 
       (147*t[54])/8 - (11*t[59])/3 - (457*t[60])/12 - (263*t[61])/12 - 
       (325*t[62])/4 + 18*t[63] + (585*t[64])/8 - (751*t[65])/18 - 
       (508*t[66])/9 + 2*t[69] - (4*t[70])/3 + (4*t[71])/3 + 4*t[72] + 
       2*t[73] - (32*t[74])/3 + (11*t[76])/3 - 4*t[77] - 5*t[78] + 
       (16*t[80])/3 - (3*t[81])/2 + (7*t[82])/2 + 32*t[83] - (161*t[84])/6 - 
       (265*t[85])/12 + (260*t[86])/3 - (15*t[87])/4 - (365*t[88])/24 - 
       61*t[89] + (28*t[95])/3 + (10*t[96])/3 + t[97]/3 + 24*t[98] - 
       16*t[99] - (203*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*(-3*t[3] + 2*t[4] - (13*t[5])/4 + 
       (9*t[6])/4 - (11*t[7])/2 + t[8]/2 + (25*t[9])/4 + (19*t[10])/2 + 
       (63*t[11])/4 - (41*t[12])/4 + (79*t[13])/3 + (65*t[14])/12 + 
       (7*t[15])/24 - 12*t[16] + 6*t[25] - 6*t[26] + 42*t[36] + 3*t[46] + 
       (9*t[48])/4 - 7*t[49] - (15*t[50])/4 + (9*t[51])/4 + (15*t[52])/4 + 
       7*t[53] - (17*t[54])/4 - (23*t[60])/2 + 21*t[61] + (73*t[62])/4 - 
       (147*t[63])/4 - (139*t[64])/2 + (97*t[65])/3 - 53*t[66] - 12*t[69] + 
       78*t[73] - 12*t[74] - 222*t[75] + 30*t[79] + 3*t[81] - 3*t[82] + 
       88*t[83] + 11*t[84] + (19*t[85])/2 - 34*t[86] + (69*t[87])/2 + 
       (213*t[88])/4 - t[89] - 96*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*((-27*t[2])/2 + 14*t[3] + 11*t[5] + 
       10*t[6] - (5*t[7])/2 + (25*t[8])/2 - (57*t[9])/2 - (19*t[10])/2 - 
       5*t[11] + (5*t[12])/2 + (44*t[13])/3 + (58*t[14])/3 + (251*t[15])/12 + 
       12*t[20] + 2*t[28] - 16*t[29] - 16*t[30] + 18*t[33] - 24*t[35] + 
       26*t[44] + 9*t[48] - t[50] + t[52] + t[54] - (23*t[60])/2 + 21*t[61] + 
       (73*t[62])/4 - (147*t[63])/4 - (139*t[64])/2 + (97*t[65])/3 - 
       53*t[66] - 12*t[69] + 78*t[73] - 12*t[74] - 222*t[75] + 30*t[79] + 
       3*t[81] - 3*t[82] + 88*t[83] + 11*t[84] + (19*t[85])/2 - 34*t[86] + 
       (69*t[87])/2 + (213*t[88])/4 - t[89] - 96*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((11*t[1])/3 - 17*t[2] - (815*t[3])/24 + (53*t[4])/8 - (2309*t[5])/48 - 
       (55*t[6])/3 + (269*t[7])/8 - (355*t[8])/24 + (1693*t[9])/48 - 
       (285*t[10])/16 + (2765*t[11])/24 + (229*t[12])/4 + (10213*t[13])/216 + 
       (13703*t[14])/288 - (221*t[15])/288 - t[17]/6 + 4*t[18] + 
       (26*t[19])/3 + 2*t[20] - (14*t[21])/3 - (2*t[22])/3 + (14*t[23])/3 - 
       3*t[24] + (5*t[25])/3 + (2*t[26])/3 + 3*t[27] - (58*t[28])/3 - 
       (8*t[29])/3 + (32*t[30])/3 - (32*t[31])/3 + (4*t[32])/3 - 2*t[33] + 
       (32*t[34])/3 + 8*t[35] - t[37] - (11*t[38])/3 - 13*t[39] + 
       (14*t[40])/3 + (3*t[41])/2 - t[42]/2 - 5*t[43] + (17*t[44])/3 - 
       (13*t[45])/2 + 3*t[46] + (28*t[47])/3 - (169*t[48])/6 - 
       (265*t[49])/16 + (65*t[50])/2 + (193*t[51])/32 - (199*t[52])/6 + 
       (233*t[53])/16 - (77*t[54])/24 + (4*t[58])/3 - (3*t[59])/2 + 
       (1159*t[60])/24 + (1555*t[61])/24 - (591*t[62])/16 + (2285*t[63])/48 - 
       (1025*t[64])/48 + (105*t[65])/8 - (7433*t[66])/72 + 2*t[67] - 
       t[68]/3 + t[69] - 5*t[70] + 5*t[71] + (4*t[72])/3 - 6*t[73] - 
       6*t[74] + (16*t[76])/3 - (25*t[77])/3 - (10*t[78])/3 + 10*t[79] + 
       (101*t[80])/3 + (19*t[81])/3 + (23*t[82])/3 + 18*t[83] + 
       (307*t[84])/24 - (51*t[85])/8 + (16*t[86])/3 - (183*t[87])/8 - 
       (183*t[88])/16 - (629*t[89])/16 + t[90]/3 - t[92]/3 - t[94]/3 - 
       2*t[96] - (2*t[97])/3 + 36*t[98] - 32*t[99] - 90*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((13*t[1])/2 - (25*t[2])/4 - 35*t[3] + (245*t[4])/4 - (115*t[5])/8 + 
       (43*t[6])/2 + (219*t[7])/4 + (203*t[8])/4 + (77*t[9])/8 + 
       (165*t[10])/8 + (391*t[11])/4 + (47*t[12])/4 + (1637*t[13])/36 + 
       (481*t[14])/16 + (5081*t[15])/144 - t[19] + t[20] + t[21] - t[23] + 
       7*t[27] + 6*t[28] + 11*t[29] + 8*t[30] + 7*t[31] + 7*t[32] - 7*t[33] - 
       3*t[34] - 12*t[35] + 6*t[36] + t[37] + (5*t[38])/2 + 5*t[39] + t[40] + 
       (7*t[41])/2 - (7*t[42])/2 + (7*t[43])/2 - (25*t[44])/2 - (7*t[45])/2 + 
       3*t[46] + (19*t[47])/2 + (25*t[49])/8 + t[50]/2 - (13*t[51])/16 - 
       (9*t[52])/2 + (87*t[53])/8 - (59*t[54])/4 + (11*t[59])/4 + 
       (49*t[60])/4 + (803*t[61])/4 - (125*t[62])/8 - (123*t[63])/8 - 
       (365*t[64])/8 - (75*t[65])/4 - (577*t[66])/12 - 14*t[72] + 18*t[73] + 
       14*t[75] + (95*t[76])/2 + 13*t[77] - 69*t[78] - 26*t[79] + 15*t[80] + 
       t[81]/2 - (41*t[82])/2 - 62*t[83] - (163*t[84])/4 - (91*t[85])/4 - 
       126*t[86] - (79*t[87])/4 - (79*t[88])/8 + (425*t[89])/8 + 21*t[96] + 
       (29*t[97])/2 + 228*t[98] - 228*t[99] - (177*t[100])/2) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((29*t[1])/4 - (79*t[2])/4 - 23*t[3] + 15*t[4] + (337*t[5])/8 + 
       (337*t[6])/8 - (157*t[7])/4 + (251*t[8])/4 - (283*t[9])/8 + 
       (167*t[10])/4 - (137*t[11])/8 - (187*t[12])/8 - (251*t[13])/18 + 
       (223*t[14])/3 + (1145*t[15])/144 - (3*t[26])/2 - 7*t[27] + 14*t[28] + 
       7*t[29] - 13*t[30] + 9*t[31] - (13*t[34])/2 + 14*t[35] - t[37] + 
       (9*t[38])/2 + (21*t[39])/2 + t[40] + (13*t[41])/4 - (13*t[42])/4 + 
       (7*t[43])/2 - 6*t[44] - 3*t[46] + (333*t[48])/8 + 47*t[49] - 
       (519*t[50])/8 - (79*t[51])/4 + (443*t[52])/8 - 33*t[53] + 
       (135*t[54])/8 - t[58]/2 + (11*t[59])/4 + (49*t[60])/4 + 
       (803*t[61])/4 - (125*t[62])/8 - (123*t[63])/8 - (365*t[64])/8 - 
       (75*t[65])/4 - (577*t[66])/12 - 14*t[72] + 18*t[73] + 14*t[75] + 
       (95*t[76])/2 + 13*t[77] - 69*t[78] - 26*t[79] + 15*t[80] + t[81]/2 - 
       (41*t[82])/2 - 62*t[83] - (163*t[84])/4 - (91*t[85])/4 - 126*t[86] - 
       (79*t[87])/4 - (79*t[88])/8 + (425*t[89])/8 + 21*t[96] + 
       (29*t[97])/2 + 228*t[98] - 228*t[99] - (177*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (2*t[1] + t[2]/2 - (73*t[3])/4 + 14*t[4] - 13*t[5] + (541*t[6])/16 + 
       (65*t[7])/4 + (281*t[8])/4 + (115*t[9])/8 + (33*t[10])/4 + 
       (599*t[11])/16 + (55*t[12])/2 + (1795*t[13])/72 + (373*t[14])/48 + 
       (3095*t[15])/144 + 2*t[27] + 9*t[28] + (13*t[29])/2 + 9*t[30] - 
       t[31] + 2*t[32] - 2*t[33] - 2*t[34] - 15*t[35] + 8*t[36] + 6*t[37] + 
       t[38] + (11*t[39])/2 - 3*t[40] + t[41] - t[42] + t[43] - 
       (23*t[44])/2 + 3*t[45] + 4*t[46] - 4*t[47] + (123*t[48])/16 - 
       (79*t[49])/4 - (245*t[50])/16 + (41*t[51])/8 + (213*t[52])/16 + 
       (95*t[53])/4 + (121*t[54])/16 + 4*t[59] + (387*t[60])/8 + 
       (771*t[61])/8 - (147*t[62])/16 - (1357*t[63])/16 - (165*t[64])/16 + 
       (949*t[65])/24 - (439*t[66])/8 + 6*t[69] + 2*t[72] + 42*t[73] + 
       3*t[74] - 22*t[75] + 14*t[76] + 11*t[77] - 19*t[78] - t[79] - 
       14*t[80] + 6*t[81] - 7*t[82] - 80*t[83] + (83*t[84])/8 - 
       (65*t[85])/8 - 57*t[86] - (161*t[87])/8 - (161*t[88])/16 + 
       (725*t[89])/16 + 6*t[96] + 4*t[97] + 84*t[98] - 78*t[99] - 
       (177*t[100])/2) + HPL[{0, 1}, 1 - w]*Qep[w, u, v]*
      ((-16*t[1])/9 - (112*t[2])/9 + (320*t[3])/3 + (434*t[4])/9 - 40*t[5] - 
       (604*t[6])/3 + (64*t[7])/3 - (3472*t[8])/9 + (536*t[9])/9 - 
       (925*t[10])/9 - 4*t[11] - (641*t[12])/9 + (6794*t[13])/81 - 
       (3257*t[14])/18 - (1781*t[15])/27 - 32*t[26] + (64*t[27])/9 - 
       (128*t[28])/9 - (64*t[29])/9 + (160*t[30])/9 + (320*t[31])/9 + 
       (160*t[34])/9 + (128*t[35])/3 + (32*t[36])/3 - (64*t[37])/3 + 
       (160*t[38])/9 - (32*t[39])/3 + (64*t[40])/3 - (80*t[41])/9 + 
       (80*t[42])/9 - (32*t[43])/9 + (64*t[44])/9 - (16*t[46])/3 - 
       (1420*t[48])/9 - (61*t[49])/3 + (404*t[50])/9 + (43*t[51])/2 - 
       (820*t[52])/9 + (55*t[53])/9 - (830*t[54])/9 - (32*t[58])/3 - 
       (176*t[59])/9 + 234*t[60] - (1066*t[61])/3 + (185*t[62])/9 + 
       (2231*t[63])/9 - (1055*t[64])/9 - (2278*t[65])/27 + (4222*t[66])/27 + 
       (128*t[72])/9 - (64*t[73])/3 - (64*t[75])/3 + (224*t[76])/9 - 
       (64*t[77])/9 + (320*t[78])/9 + (128*t[79])/3 + (64*t[80])/9 + 
       (272*t[81])/9 + (128*t[82])/3 + 128*t[83] + (290*t[84])/9 + 
       (1330*t[85])/9 + (1408*t[86])/9 - (1958*t[87])/9 - (979*t[88])/9 - 
       (745*t[89])/9 - (64*t[96])/3 - (32*t[97])/9 + (1024*t[98])/3 - 
       (1024*t[99])/3 - (256*t[100])/3) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*(-8*t[1] + (23*t[2])/2 + (13*t[3])/2 - 
       (117*t[4])/4 + (45*t[5])/8 + (79*t[6])/2 - (151*t[7])/8 + 
       (499*t[8])/8 - 38*t[9] + (9*t[10])/4 + (145*t[11])/8 + (31*t[12])/4 - 
       (3421*t[13])/48 + (2105*t[14])/48 - (15*t[15])/8 - (7*t[17])/2 - 
       (7*t[18])/2 + 33*t[20] - 2*t[21] - t[22]/2 + 2*t[23] + 5*t[24] - 
       2*t[25] + 4*t[26] - 10*t[27] + 32*t[28] - 7*t[29] - 12*t[30] + 
       4*t[31] - 4*t[32] + 2*t[33] - (11*t[34])/2 - 3*t[38] + 18*t[39] - 
       16*t[40] + (25*t[41])/4 - (29*t[42])/4 + (15*t[43])/8 - 13*t[44] + 
       (81*t[45])/4 - 9*t[46] - (47*t[47])/2 + (209*t[48])/8 + 
       (153*t[49])/8 + (5*t[50])/8 - (161*t[51])/16 + (171*t[52])/8 - 
       (153*t[53])/8 - (63*t[54])/8 + (33*t[59])/4 + (11*t[60])/4 + 
       138*t[61] - (365*t[62])/8 + (465*t[63])/8 - (519*t[64])/8 - 
       (157*t[65])/12 + (743*t[66])/12 + 3*t[69] + t[70] - t[71] + 6*t[72] + 
       2*t[74] - 4*t[76] + 6*t[77] + 4*t[78] - 11*t[80] + 2*t[81] - t[82] + 
       (27*t[84])/4 - (99*t[85])/4 - 28*t[86] + (93*t[87])/4 + (93*t[88])/8 - 
       (189*t[89])/8 - t[92] + t[94] - 168*t[98] + 228*t[99] - 81*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*((25*t[1])/4 + t[2]/4 - 
       (175*t[3])/4 + 31*t[4] - (19*t[5])/8 - (59*t[6])/8 + (199*t[7])/8 - 
       (215*t[8])/8 + (49*t[9])/2 + (225*t[10])/8 + (49*t[11])/4 + 
       (25*t[12])/8 + (739*t[13])/48 + (53*t[14])/8 + (955*t[15])/24 + 
       (5*t[17])/2 - 2*t[18] - 39*t[20] - 5*t[21] - t[22]/2 + 5*t[23] - 
       8*t[24] + 4*t[25] - 4*t[26] + 8*t[27] - 32*t[28] + 7*t[29] + 
       12*t[30] - 7*t[31] + 4*t[32] - 6*t[33] - 2*t[34] + t[38] - 14*t[39] + 
       16*t[40] - 4*t[41] + 3*t[42] + (41*t[43])/8 + 11*t[44] + 
       (15*t[45])/4 + 4*t[46] - (23*t[47])/2 - (41*t[48])/4 - 27*t[49] + 
       (25*t[50])/4 + (61*t[51])/4 - (111*t[52])/4 + 27*t[53] + 
       (93*t[54])/4 + (33*t[59])/4 + (11*t[60])/4 + 138*t[61] - 
       (365*t[62])/8 + (465*t[63])/8 - (519*t[64])/8 - (157*t[65])/12 + 
       (743*t[66])/12 + 3*t[69] + t[70] - t[71] + 6*t[72] + 2*t[74] - 
       4*t[76] + 6*t[77] + 4*t[78] - 11*t[80] + 2*t[81] - t[82] + 
       (27*t[84])/4 - (99*t[85])/4 - 28*t[86] + (93*t[87])/4 + (93*t[88])/8 - 
       (189*t[89])/8 - t[92] + t[94] - 168*t[98] + 228*t[99] - 81*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (2*t[1] - 7*t[2] + (1595*t[3])/48 + (527*t[4])/24 + (241*t[5])/12 - 
       (1679*t[6])/48 - (517*t[7])/24 - (289*t[8])/8 - (215*t[9])/8 + 
       (1921*t[10])/48 + (801*t[11])/16 + (13*t[12])/16 - (421*t[13])/48 - 
       (171*t[14])/32 - (1247*t[15])/96 + t[17]/12 - 2*t[19] - t[23]/3 + 
       (2*t[24])/3 + t[25] - t[26] - t[27] + 2*t[28] + (41*t[29])/12 + 
       (43*t[30])/6 - (14*t[31])/3 - (77*t[32])/12 + (37*t[33])/6 - 
       (32*t[34])/3 - 6*t[36] - 3*t[37] + t[38] + (11*t[39])/6 - 
       (5*t[40])/12 + t[41] - t[42] - (13*t[43])/3 + (65*t[44])/8 + t[45]/2 + 
       t[46]/2 - (3*t[47])/2 + (27*t[48])/16 + (301*t[49])/16 - 
       (439*t[50])/48 - (1159*t[51])/96 + (391*t[52])/48 - (237*t[53])/16 - 
       (467*t[54])/16 - (7*t[59])/12 - (209*t[60])/4 - (145*t[61])/8 - 
       (1349*t[62])/24 + (191*t[63])/6 + (1117*t[64])/48 + (217*t[65])/36 - 
       (3809*t[66])/72 - (2*t[68])/3 - 2*t[69] + t[70] - t[71] + 3*t[72] - 
       12*t[73] + (4*t[74])/3 - 27*t[75] + (101*t[76])/6 - (205*t[78])/6 + 
       (37*t[79])/2 + t[80] - (7*t[81])/6 + 7*t[82] + 2*t[83] - 
       (221*t[84])/24 - (365*t[85])/24 + (287*t[86])/6 - (263*t[87])/24 - 
       (479*t[88])/48 - (719*t[89])/24 + (22*t[95])/3 + (13*t[96])/2 + 
       3*t[97] + 60*t[98] - 60*t[99] - 80*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-11*t[1])/6 + 11*t[2] + (13*t[3])/2 - (257*t[4])/8 - (109*t[5])/8 - 
       (911*t[6])/48 + (229*t[7])/12 - (100*t[8])/3 + (433*t[9])/12 - 
       (16*t[10])/3 + (29*t[11])/48 + (75*t[12])/2 - (89*t[13])/24 + 
       (805*t[14])/288 - (1247*t[15])/72 + 2*t[16] - t[20]/3 - t[24] - 
       2*t[25] + (10*t[26])/3 + t[27]/3 + (13*t[28])/3 - 3*t[29] - 
       (8*t[30])/3 + t[31]/3 + t[32] - (4*t[33])/3 - t[34] + (11*t[36])/3 + 
       (7*t[37])/2 - (5*t[38])/6 + (11*t[39])/3 - 3*t[40] - (5*t[43])/6 + 
       (47*t[44])/6 - t[45] - t[46]/3 + 2*t[47] - (469*t[48])/48 - 
       (127*t[49])/24 + (607*t[50])/48 + (173*t[51])/32 - (415*t[52])/48 + 
       (445*t[53])/24 + (179*t[54])/48 + (5*t[59])/12 - (157*t[60])/3 - 
       (191*t[61])/8 - (671*t[62])/12 + (817*t[63])/24 + (1007*t[64])/48 + 
       (193*t[65])/36 - (3437*t[66])/72 - (2*t[68])/3 + 3*t[72] - 11*t[73] + 
       t[74]/3 - 26*t[75] + (101*t[76])/6 - (205*t[78])/6 + (35*t[79])/2 + 
       t[80] - (5*t[81])/3 + (15*t[82])/2 + (13*t[83])/6 - (221*t[84])/24 - 
       (343*t[85])/24 + (301*t[86])/6 - (277*t[87])/24 - (493*t[88])/48 - 
       (181*t[89])/6 + (22*t[95])/3 + (13*t[96])/2 + 3*t[97] + 60*t[98] - 
       60*t[99] - 78*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-59*t[1])/18 + (1145*t[2])/36 - 
       (11585*t[3])/144 - (229*t[4])/6 - (2677*t[5])/72 - (397*t[6])/1152 + 
       (27131*t[7])/288 - (10987*t[8])/96 + (75793*t[9])/576 + 
       (359*t[10])/72 + (28765*t[11])/1152 + (13067*t[12])/288 + 
       (26261*t[13])/1296 + (288857*t[14])/3456 + (46555*t[15])/10368 - 
       (9*t[20])/2 - t[25]/2 + t[26]/2 - (5*t[27])/18 + (13*t[28])/4 - 
       (343*t[29])/36 + (101*t[30])/24 - (29*t[31])/18 + (25*t[32])/72 + 
       (43*t[33])/9 + (635*t[34])/18 - (23*t[35])/2 + (161*t[36])/12 + 
       (5*t[37])/6 - (97*t[38])/18 - (83*t[39])/144 - (439*t[40])/48 - 
       (7*t[41])/18 + (7*t[42])/18 - (43*t[43])/18 + (4085*t[44])/144 - 
       (35*t[45])/2 + (125*t[46])/24 + (211*t[47])/18 - (24709*t[48])/384 - 
       (937*t[49])/72 + (28729*t[50])/1152 - (623*t[51])/288 - 
       (12857*t[52])/1152 + (251*t[53])/24 - (1037*t[54])/128 - 
       (475*t[59])/72 + (5537*t[60])/64 + (2077*t[61])/64 - 
       (66623*t[62])/1152 - (33857*t[63])/1152 - (59023*t[64])/1152 - 
       (74071*t[65])/1728 - (339077*t[66])/1728 - (8*t[69])/3 + 
       (25*t[72])/18 + (325*t[73])/12 + (21*t[74])/4 - (95*t[75])/4 + 
       (127*t[76])/18 + (89*t[77])/36 + (131*t[78])/9 + (56*t[79])/3 + 
       (43*t[80])/9 + (1543*t[81])/72 - (19*t[82])/3 - (28*t[83])/3 + 
       (15365*t[84])/576 + (30421*t[85])/576 + (53*t[86])/18 - 
       (5987*t[87])/576 - (3539*t[88])/1152 - (55613*t[89])/1152 - 
       (5*t[95])/2 - (7*t[96])/3 + (17*t[97])/18 + (5*t[98])/6 - 
       (17*t[99])/6 - (232*t[100])/3) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((-19*t[1])/36 + (83*t[2])/36 - (569*t[3])/36 + 
       (127*t[4])/16 - (16205*t[5])/576 + (7295*t[6])/288 + (3991*t[7])/144 + 
       (1063*t[8])/24 + (21991*t[9])/576 - (1015*t[10])/288 - 
       (1117*t[11])/144 + (763*t[12])/576 - (15569*t[13])/648 + 
       (38135*t[14])/864 + (9127*t[15])/10368 - t[17]/4 - (3*t[20])/2 + 
       t[21] + t[22]/2 - t[23] - t[24] - (3*t[26])/2 - (29*t[27])/18 - 
       (22*t[28])/3 + (31*t[29])/72 - (19*t[30])/6 + (49*t[31])/18 + 
       (263*t[32])/36 - (68*t[33])/9 + (70*t[34])/9 + (47*t[35])/6 + 
       (19*t[36])/6 + (8*t[37])/3 - (23*t[38])/36 + (143*t[39])/72 - 
       (11*t[40])/4 - (5*t[41])/36 + (5*t[42])/36 - (97*t[43])/288 - 
       (1771*t[44])/144 - (71*t[45])/8 + t[46]/3 + (137*t[47])/36 + 
       (117*t[48])/32 + (2723*t[49])/288 - (1835*t[50])/288 - 
       (3319*t[51])/576 + (2347*t[52])/288 - (961*t[53])/96 + 
       (525*t[54])/32 - t[55]/4 + t[56]/4 - t[57]/2 - t[58]/2 + 
       (131*t[59])/72 + (749*t[60])/24 + (863*t[61])/16 - (1249*t[62])/36 + 
       (2557*t[63])/72 - (7969*t[64])/288 + (3521*t[65])/432 + 
       (805*t[66])/432 + t[68] + (11*t[69])/3 + t[70] - t[71] + 
       (41*t[72])/9 + (14*t[73])/3 - 4*t[74] - 18*t[75] - (70*t[76])/9 - 
       (40*t[77])/9 + (107*t[78])/36 + (31*t[79])/6 - (275*t[80])/36 + 
       (413*t[81])/36 + (7*t[82])/4 + (175*t[83])/6 + (601*t[84])/72 + 
       (743*t[85])/72 + (2345*t[86])/72 - (3041*t[87])/144 - 
       (1169*t[88])/288 - (275*t[89])/72 + t[91]/24 - t[93]/2 - 3*t[95] - 
       (11*t[96])/6 + (43*t[97])/36 + (40*t[98])/3 + (5*t[99])/3 - 
       (443*t[100])/6) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - u]*(3*t[1] - (9*t[2])/4 - 9*t[3] + (205*t[4])/8 - 
       (109*t[5])/8 + 22*t[6] - (73*t[7])/4 + (89*t[8])/2 - (147*t[9])/8 - 
       (39*t[10])/16 + (147*t[11])/8 - (81*t[12])/16 + (1549*t[13])/48 - 
       (409*t[14])/96 + (35*t[15])/24 + t[20] - 3*t[24] + 3*t[29] - t[30] + 
       t[31] - 3*t[32] + 4*t[33] + 9*t[35] - 3*t[36] - 6*t[37] - 
       (5*t[43])/2 - (3*t[44])/2 + (107*t[48])/8 + (31*t[49])/16 - 
       (119*t[50])/8 + t[51]/32 + (119*t[52])/8 - (31*t[53])/16 + 
       (21*t[54])/2 + (83*t[60])/8 + (135*t[61])/4 + (237*t[62])/16 - 
       (785*t[63])/16 - (145*t[64])/8 + (727*t[65])/24 - (395*t[66])/12 + 
       12*t[72] - 9*t[73] - 2*t[75] + 3*t[77] + 3*t[78] - (7*t[79])/4 + 
       6*t[80] + (3*t[81])/2 + (5*t[82])/2 - (31*t[83])/4 + 5*t[84] + 
       (5*t[85])/4 - (115*t[86])/4 - (21*t[87])/4 - (21*t[88])/8 + 
       (57*t[89])/8 + 3*t[99] - (147*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((251*t[1])/24 + (187*t[2])/48 + (91*t[3])/4 + (11137*t[4])/192 + 
       (1517*t[5])/96 - (589*t[6])/24 - (145*t[7])/8 - (371*t[8])/6 - 
       (1229*t[9])/96 + (295*t[10])/384 + (2471*t[11])/48 - 
       (17545*t[12])/384 + (61537*t[13])/1728 - (665*t[14])/768 - 
       (33143*t[15])/1152 - t[19]/2 + t[20] - t[22] - 17*t[26] + 
       (4*t[27])/3 + 2*t[28] + (8*t[29])/3 - (79*t[30])/12 + (41*t[34])/12 - 
       (53*t[35])/6 - (20*t[36])/3 - (5*t[37])/3 + (57*t[38])/4 + 
       (17*t[39])/6 + t[40]/6 - (53*t[41])/24 + (53*t[42])/24 - (7*t[43])/6 + 
       (27*t[44])/2 + 4*t[45] + (11*t[46])/2 - 9*t[47] - (329*t[48])/48 - 
       (3875*t[49])/384 + (23*t[50])/48 - (4397*t[51])/768 - (153*t[52])/16 + 
       (403*t[53])/384 - (2375*t[54])/64 - (25*t[58])/12 - (20*t[59])/3 + 
       (15181*t[60])/192 + (3601*t[61])/192 - (20771*t[62])/384 - 
       (12989*t[63])/384 - (19171*t[64])/384 - (7649*t[65])/192 - 
       (111209*t[66])/576 - (7*t[69])/2 + (5*t[72])/3 + (295*t[73])/12 + 
       (21*t[74])/4 - (275*t[75])/12 + (13*t[76])/12 + (13*t[77])/12 + 
       (62*t[78])/3 + (39*t[79])/2 + (9*t[80])/2 + (461*t[81])/24 - 
       (61*t[82])/12 - (97*t[83])/12 + (5785*t[84])/192 + (3299*t[85])/64 + 
       (28*t[86])/3 - (213*t[87])/64 + (59*t[88])/128 - (19841*t[89])/384 - 
       (5*t[95])/2 - 4*t[96] - (7*t[97])/12 - (75*t[98])/2 + (71*t[99])/2 - 
       (143*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-2*t[1] + 4*t[2] - (33*t[3])/4 + 32*t[4] + 
       (11*t[5])/4 + (191*t[6])/8 - 47*t[7] - 5*t[8] - (185*t[9])/6 - 
       (37*t[10])/4 - (27*t[11])/8 - (23*t[12])/2 + (3053*t[13])/72 - 
       (191*t[14])/6 - (95*t[15])/72 - 2*t[27] - 4*t[28] + 6*t[29] - 
       8*t[30] + 4*t[31] - 8*t[32] + 8*t[33] + 2*t[34] - 6*t[35] - 6*t[36] - 
       6*t[37] - t[38] - 7*t[39] + 6*t[40] - t[41] + t[42] - 4*t[43] + 
       5*t[44] - 2*t[47] + (179*t[48])/8 - (5*t[49])/4 - (73*t[50])/8 + 
       (9*t[51])/8 + (89*t[52])/8 - (11*t[53])/4 + (85*t[54])/8 - 4*t[59] + 
       (37*t[60])/2 - (159*t[61])/2 + (899*t[62])/8 - (467*t[63])/8 - 
       (179*t[64])/2 + (2227*t[65])/36 + (119*t[66])/12 - 6*t[69] - 2*t[72] + 
       6*t[74] - 13*t[75] - 8*t[76] + 4*t[77] + 16*t[78] + 5*t[79] - 
       4*t[80] - 4*t[81] + 2*t[82] - 14*t[83] + (47*t[84])/2 + (53*t[85])/2 - 
       83*t[86] - (73*t[87])/2 - (73*t[88])/4 + (65*t[89])/2 - 6*t[96] - 
       4*t[97] - 48*t[98] + 60*t[99] - 69*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-20*t[1])/9 - (355*t[2])/48 + (163*t[3])/72 + (9163*t[4])/288 - 
       (3479*t[5])/144 + (847*t[6])/192 - (1471*t[7])/96 - (4151*t[8])/288 + 
       (5885*t[9])/288 + (15539*t[10])/576 - (6259*t[11])/576 + 
       (5839*t[12])/576 + (2347*t[13])/1728 + (22765*t[14])/1152 - 
       (1039*t[15])/144 + (5*t[17])/24 - t[18]/3 + 2*t[19] - t[20]/9 - 
       t[21]/4 + t[22]/12 + t[23]/4 - (17*t[24])/12 - (5*t[25])/12 + 
       (5*t[26])/12 + (5*t[28])/18 + (7*t[29])/24 - (5*t[30])/36 - t[31] - 
       t[32]/4 + (5*t[33])/36 - t[34]/6 - (49*t[35])/12 - 2*t[36] - 
       (13*t[37])/12 + t[40]/2 - (37*t[41])/24 + (61*t[42])/36 - 
       (189*t[43])/32 + (31*t[44])/36 + (319*t[45])/48 - (301*t[46])/48 - 
       (307*t[47])/24 - (2521*t[48])/576 + (6179*t[49])/576 - 
       (385*t[50])/576 - (2177*t[51])/1152 + (385*t[52])/576 - 
       (6179*t[53])/576 - (671*t[54])/192 - (35*t[59])/36 + (1601*t[60])/36 - 
       (641*t[61])/24 + (2441*t[62])/144 + (2407*t[63])/144 - 
       (15653*t[64])/144 - (781*t[65])/72 - (367*t[66])/12 + (5*t[67])/12 + 
       (16*t[69])/3 - (29*t[70])/12 + (29*t[71])/12 + t[72] - 3*t[73] - 
       (131*t[74])/12 + (5*t[75])/2 - (10*t[77])/3 + 2*t[78] + 
       (211*t[79])/12 - (44*t[80])/3 + (41*t[81])/3 - 9*t[82] - 
       (1079*t[83])/72 + (241*t[84])/24 + (835*t[85])/72 - (133*t[86])/18 - 
       (3437*t[87])/72 - (3437*t[88])/144 - (649*t[89])/36 - (5*t[94])/12 - 
       (799*t[100])/12) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      (4*t[1] - (15*t[2])/2 + (15*t[3])/2 + (249*t[4])/4 + (67*t[5])/8 + 
       14*t[6] + (5*t[7])/2 + (43*t[8])/2 - (195*t[9])/8 + (7*t[10])/2 - 
       12*t[11] - (297*t[12])/8 - (176*t[13])/9 - (143*t[14])/48 + 
       (85*t[15])/16 - 4*t[16] + 3*t[25] - 6*t[26] - 6*t[27] - 22*t[28] + 
       12*t[29] + 11*t[30] - 9*t[31] + 6*t[35] - 9*t[36] - (5*t[37])/2 + 
       3*t[38] - 7*t[39] + 4*t[40] + (5*t[43])/2 - 22*t[44] + t[45] - 
       (3*t[46])/2 - 2*t[47] + 24*t[48] + (145*t[49])/4 - t[50] - 
       (253*t[51])/16 - t[52] - (167*t[53])/4 - (113*t[54])/4 - 
       (17*t[60])/2 - (27*t[61])/2 + (293*t[62])/8 + (1003*t[63])/8 - 
       (159*t[64])/4 - (1145*t[65])/12 + (869*t[66])/12 + 5*t[68] + 2*t[70] - 
       2*t[71] - 36*t[72] - 24*t[73] + t[74] + 68*t[75] - 10*t[76] - 
       3*t[77] + 23*t[78] + 28*t[79] - 8*t[80] - 14*t[81] + t[82] - 2*t[83] - 
       (167*t[84])/4 - (55*t[85])/4 - 64*t[86] - (39*t[87])/4 + 
       (25*t[88])/8 - (259*t[89])/8 - 4*t[93] - 2*t[95] - 2*t[96] + t[97] - 
       24*t[98] + 36*t[99] - 66*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*(t[1]/2 - (3*t[2])/2 + (35*t[3])/8 - 
       (33*t[4])/4 + (37*t[5])/4 + (93*t[6])/4 - (331*t[7])/4 + (79*t[8])/4 - 
       (121*t[9])/2 + (209*t[10])/8 - 6*t[11] + (197*t[12])/8 - t[13]/24 + 
       (167*t[14])/48 + (1877*t[15])/144 - (5*t[17])/2 - 3*t[19] - 4*t[20] + 
       4*t[22] + 6*t[24] - (7*t[29])/2 + (3*t[30])/2 + 32*t[31] + 
       (11*t[32])/2 + 16*t[33] - t[34] + 2*t[37] - (13*t[39])/2 - 4*t[40] + 
       (3*t[41])/2 - (3*t[42])/2 + (11*t[43])/2 + (19*t[44])/4 + 2*t[45] - 
       3*t[47] - 28*t[48] - (69*t[49])/8 - (53*t[50])/2 + (89*t[51])/16 + 
       30*t[52] + (69*t[53])/8 + (75*t[54])/2 + 2*t[55] + 2*t[56] - 
       (17*t[60])/2 - (27*t[61])/2 + (293*t[62])/8 + (1003*t[63])/8 - 
       (159*t[64])/4 - (1145*t[65])/12 + (869*t[66])/12 + 5*t[68] + 2*t[70] - 
       2*t[71] - 36*t[72] - 24*t[73] + t[74] + 68*t[75] - 10*t[76] - 
       3*t[77] + 23*t[78] + 28*t[79] - 8*t[80] - 14*t[81] + t[82] - 2*t[83] - 
       (167*t[84])/4 - (55*t[85])/4 - 64*t[86] - (39*t[87])/4 + 
       (25*t[88])/8 - (259*t[89])/8 - 4*t[93] - 2*t[95] - 2*t[96] + t[97] - 
       24*t[98] + 36*t[99] - 66*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Qep[w, v, u]*((32*t[1])/3 - 24*t[2] + (416*t[3])/9 - (136*t[4])/3 - 
       (124*t[5])/9 - (752*t[6])/9 - (64*t[7])/3 - (320*t[8])/3 + 
       (172*t[9])/3 + (716*t[10])/9 - (320*t[11])/9 + (64*t[12])/9 - 
       (1192*t[13])/27 - (986*t[14])/27 - (1694*t[15])/27 - (128*t[31])/9 - 
       (32*t[36])/3 - (64*t[37])/3 - (64*t[43])/9 - (32*t[48])/3 + 
       (116*t[49])/9 + (160*t[50])/9 - 10*t[51] - (160*t[52])/9 - 
       (116*t[53])/9 - (232*t[54])/9 - (208*t[60])/9 - (784*t[61])/3 - 
       (1388*t[62])/9 + (484*t[63])/3 + 128*t[64] + 136*t[65] + 
       (2968*t[66])/27 - 32*t[73] + (448*t[79])/3 + (128*t[80])/3 + 
       (256*t[82])/9 + (128*t[84])/9 - (128*t[85])/9 + (1984*t[86])/9 - 
       (448*t[87])/9 - (224*t[88])/9 - (128*t[89])/3 - 64*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((13*t[1])/2 - 22*t[2] - (397*t[3])/36 - (43*t[4])/3 - 
       (1219*t[5])/144 + (3829*t[6])/144 + (7675*t[7])/72 + (4249*t[8])/72 + 
       (2819*t[9])/48 + (1051*t[10])/36 + (12181*t[11])/144 + 
       (8377*t[12])/144 + (1393*t[13])/72 + (11297*t[14])/216 + 
       (8335*t[15])/864 - t[17]/6 + t[19]/3 + t[20] + t[21] - 2*t[22] - 
       t[23] + t[24]/3 - t[25]/3 + (10*t[26])/3 - (26*t[27])/3 + 
       (13*t[28])/18 + (113*t[29])/18 - (28*t[30])/9 - (31*t[31])/3 + 
       (28*t[32])/3 - 9*t[33] - 8*t[34] + (11*t[35])/3 + (37*t[36])/3 - 
       (8*t[37])/3 + (7*t[38])/6 + (49*t[39])/6 - (9*t[40])/2 + 4*t[41] - 
       4*t[42] - t[43]/3 + (19*t[44])/18 - (10*t[45])/3 - (26*t[46])/3 + 
       11*t[47] + (341*t[48])/48 + (17*t[49])/8 - (1633*t[50])/144 + 
       (269*t[51])/24 + (721*t[52])/144 + (35*t[53])/8 - (1067*t[54])/144 + 
       (4*t[58])/3 + (53*t[59])/6 - (83*t[60])/72 + (15065*t[61])/72 - 
       (20657*t[62])/144 - (1573*t[63])/48 + (9109*t[64])/144 + 
       (6767*t[65])/216 - (289*t[66])/72 + t[68]/3 + 5*t[69] - t[70] + 
       t[71] + (8*t[72])/3 - (5*t[73])/6 - (34*t[74])/3 - (29*t[75])/6 + 
       (40*t[76])/3 - (5*t[77])/3 - (85*t[78])/3 + (77*t[79])/6 + 11*t[80] - 
       (31*t[81])/3 - (22*t[82])/3 - (355*t[83])/18 - (2585*t[84])/72 - 
       (4613*t[85])/72 + (643*t[86])/18 + (459*t[87])/8 + (1889*t[88])/48 + 
       (2405*t[89])/144 + (2*t[95])/3 + (40*t[96])/3 + 15*t[97] + 64*t[98] - 
       106*t[99] - (188*t[100])/3) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*((-8*t[1])/3 + (13*t[2])/12 - (55*t[3])/3 + 
       6*t[4] - (187*t[5])/12 + (2773*t[6])/96 + (427*t[7])/24 + 
       (403*t[8])/8 + (623*t[9])/48 - (115*t[10])/12 + (3539*t[11])/96 + 
       (571*t[12])/24 + (3773*t[13])/216 + (5071*t[14])/288 + 
       (18005*t[15])/864 + 4*t[25] + (4*t[27])/3 + 5*t[28] + (55*t[29])/12 + 
       (7*t[30])/2 + (4*t[31])/3 + (4*t[32])/3 - (4*t[33])/3 - (4*t[34])/3 - 
       10*t[35] + 5*t[36] + 4*t[37] - (10*t[38])/3 + (23*t[39])/12 + 
       t[40]/2 + (2*t[41])/3 - (2*t[42])/3 + (8*t[43])/3 - (131*t[44])/12 + 
       (5*t[46])/2 + (4*t[47])/3 + (197*t[48])/32 - (71*t[49])/6 - 
       (793*t[50])/96 + (113*t[51])/24 + (665*t[52])/96 + (29*t[53])/2 + 
       (375*t[54])/32 + (14*t[59])/3 - (83*t[60])/16 + (1861*t[61])/16 + 
       (1931*t[62])/96 + (101*t[63])/96 - (269*t[64])/96 + (6439*t[65])/144 - 
       (2707*t[66])/144 - (8*t[72])/3 + 15*t[73] - t[75] + (37*t[76])/3 + 
       (19*t[77])/3 - (62*t[78])/3 - 9*t[79] - (16*t[80])/3 + (59*t[81])/6 - 
       16*t[82] - 32*t[83] - (53*t[84])/48 - (421*t[85])/48 - (181*t[86])/3 + 
       (395*t[87])/48 + (395*t[88])/96 + (3581*t[89])/96 + 4*t[96] + 
       (8*t[97])/3 + 62*t[98] - 62*t[99] - 62*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((4*t[1])/3 - (173*t[2])/12 - 16*t[3] + (247*t[4])/48 + (103*t[5])/8 + 
       (149*t[6])/4 - (91*t[7])/4 + (493*t[8])/12 - (463*t[9])/24 - 
       (763*t[10])/96 + (19*t[11])/4 - (779*t[12])/96 + (4399*t[13])/432 + 
       (3913*t[14])/192 + (2711*t[15])/288 + 4*t[19] - 4*t[20] - 4*t[21] + 
       4*t[22] + 4*t[23] - (16*t[27])/3 + (8*t[28])/3 + (16*t[29])/3 - 
       (19*t[30])/3 + (4*t[31])/3 - (4*t[34])/3 + 18*t[35] - 4*t[37] + 
       (2*t[38])/3 + 2*t[39] + (2*t[41])/3 - (2*t[42])/3 + (2*t[43])/3 - 
       (4*t[44])/3 - (5*t[46])/2 + (155*t[48])/6 + (485*t[49])/32 - 
       (145*t[50])/6 - (273*t[51])/64 + (137*t[52])/6 - (1199*t[53])/96 + 
       (773*t[54])/48 + (14*t[59])/3 - (83*t[60])/16 + (1861*t[61])/16 + 
       (1931*t[62])/96 + (101*t[63])/96 - (269*t[64])/96 + (6439*t[65])/144 - 
       (2707*t[66])/144 - (8*t[72])/3 + 15*t[73] - t[75] + (37*t[76])/3 + 
       (19*t[77])/3 - (62*t[78])/3 - 9*t[79] - (16*t[80])/3 + (59*t[81])/6 - 
       16*t[82] - 32*t[83] - (53*t[84])/48 - (421*t[85])/48 - (181*t[86])/3 + 
       (395*t[87])/48 + (395*t[88])/96 + (3581*t[89])/96 + 4*t[96] + 
       (8*t[97])/3 + 62*t[98] - 62*t[99] - 62*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (3*t[2] + (87*t[3])/2 + (49*t[4])/2 + (337*t[5])/4 - (101*t[6])/4 - 
       (89*t[7])/4 - (251*t[8])/4 - (221*t[9])/2 + (67*t[10])/4 + 
       (209*t[11])/4 - (13*t[12])/4 + (223*t[13])/12 - (323*t[14])/12 + 
       (373*t[15])/36 + 6*t[29] + 10*t[30] - 2*t[32] - 8*t[34] + 2*t[36] + 
       t[39] - 3*t[40] + (39*t[43])/4 + 25*t[44] + (39*t[45])/2 - 10*t[46] - 
       39*t[47] - (53*t[48])/4 + (35*t[49])/2 + (15*t[50])/4 - (5*t[51])/4 - 
       (15*t[52])/4 - (35*t[53])/2 - (223*t[54])/4 - 2*t[59] + 
       (125*t[60])/2 - (107*t[61])/2 - (285*t[62])/4 - (11*t[63])/4 + 
       (19*t[64])/4 - (65*t[65])/2 - (521*t[66])/6 + 30*t[73] - 4*t[74] + 
       10*t[75] - 6*t[76] + 18*t[78] + 2*t[79] - 4*t[81] + 8*t[82] - 
       104*t[83] - (13*t[84])/2 - (21*t[85])/2 + 34*t[86] - (105*t[87])/2 - 
       (133*t[88])/4 - (247*t[89])/4 + 8*t[95] + 8*t[99] - 62*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (4*t[1] + 11*t[3] - 37*t[4] - (251*t[5])/4 - 19*t[6] + (253*t[7])/4 - 
       (401*t[8])/4 + (233*t[9])/2 - 28*t[10] + 17*t[11] + (87*t[12])/2 - 
       (163*t[13])/12 - (295*t[14])/24 - (1711*t[15])/36 - 4*t[26] + 
       24*t[28] + 28*t[29] - 28*t[30] + 4*t[36] + 4*t[38] - (39*t[43])/4 + 
       12*t[44] - (39*t[45])/2 + 39*t[47] - (7*t[48])/2 - (41*t[49])/4 + 
       (29*t[50])/2 + (93*t[51])/8 - (29*t[52])/2 + (65*t[53])/4 + 17*t[54] - 
       2*t[59] + (125*t[60])/2 - (107*t[61])/2 - (285*t[62])/4 - 
       (11*t[63])/4 + (19*t[64])/4 - (65*t[65])/2 - (521*t[66])/6 + 
       30*t[73] - 4*t[74] + 10*t[75] - 6*t[76] + 18*t[78] + 2*t[79] - 
       4*t[81] + 8*t[82] - 104*t[83] - (13*t[84])/2 - (21*t[85])/2 + 
       34*t[86] - (105*t[87])/2 - (133*t[88])/4 - (247*t[89])/4 + 8*t[95] + 
       8*t[99] - 62*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-5*t[1])/6 + (61*t[2])/24 - 
       (367*t[3])/144 + (23*t[4])/12 - (1139*t[5])/72 + (4823*t[6])/288 + 
       (2899*t[7])/72 + (1201*t[8])/72 + (951*t[9])/16 - (403*t[10])/72 - 
       (5347*t[11])/288 + (1223*t[12])/72 - (115*t[13])/54 + 
       (7595*t[14])/864 + (2335*t[15])/216 - 2*t[19] - (4*t[20])/3 - 
       2*t[21] - t[22] + (5*t[23])/3 + t[24] - t[25] + t[27]/3 + 
       (119*t[28])/9 + (433*t[29])/36 + (707*t[30])/36 - 3*t[31] - t[32]/3 - 
       (29*t[33])/12 + (31*t[34])/3 - (43*t[35])/3 - t[36]/2 + t[37] - 
       (2*t[38])/3 + (17*t[39])/2 - (33*t[40])/4 - (8*t[41])/3 + 
       (5*t[42])/3 - t[43]/6 + (223*t[44])/72 - (29*t[45])/2 + (5*t[46])/4 + 
       (19*t[47])/2 + (481*t[48])/32 + (9*t[49])/4 + (2929*t[50])/288 - 
       (51*t[51])/16 - (1681*t[52])/288 + (25*t[53])/12 + (4655*t[54])/288 - 
       (11*t[59])/6 - (10273*t[60])/144 - (1625*t[61])/144 + 
       (24455*t[62])/288 + (9563*t[63])/96 - (15409*t[64])/288 + 
       (26425*t[65])/432 + (15289*t[66])/144 - (7*t[69])/2 - 3*t[72] + 
       (38*t[73])/3 - (7*t[74])/3 + (85*t[75])/6 + (49*t[76])/2 + 
       (2*t[77])/3 - (74*t[78])/3 + (77*t[79])/6 + (22*t[80])/3 + 
       (77*t[81])/12 + (35*t[82])/4 - (1643*t[83])/36 - (2173*t[84])/144 + 
       (797*t[85])/144 - (929*t[86])/18 - (315*t[87])/16 - (1873*t[88])/96 - 
       (809*t[89])/288 + 7*t[95] + 5*t[96] + (7*t[97])/3 + 148*t[98] - 
       138*t[99] - (743*t[100])/12) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-t[1] - (7*t[3])/4 + (173*t[4])/4 - 
       (3*t[5])/8 - t[6]/16 + (27*t[7])/4 + (41*t[8])/4 - (31*t[9])/8 + 
       (295*t[10])/8 + (167*t[11])/16 - (293*t[12])/8 + (85*t[13])/12 + 
       (1493*t[14])/48 - (67*t[15])/48 + t[16] + (25*t[25])/2 - 
       (23*t[26])/2 + 5*t[36] - t[38] - (3*t[46])/4 + (95*t[48])/16 + 
       (165*t[49])/8 + (71*t[50])/16 - (53*t[51])/4 - (71*t[52])/16 - 
       (217*t[53])/8 - (211*t[54])/16 + t[59]/2 + (137*t[60])/8 + 
       (259*t[61])/4 - (757*t[62])/16 + (655*t[63])/16 + (13*t[64])/8 - 
       (55*t[65])/4 - (491*t[66])/12 + 6*t[69] + 4*t[73] - 5*t[74] + 
       10*t[75] + 2*t[79] - 2*t[80] + (9*t[81])/4 - (9*t[82])/4 + t[83] + 
       (5*t[84])/2 - (13*t[85])/8 + 22*t[86] - (67*t[87])/8 + (61*t[88])/16 - 
       (59*t[89])/4 + 2*t[95] - 16*t[99] - 61*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-141*t[2])/8 - (97*t[3])/4 - (27*t[4])/2 - (491*t[5])/16 - 
       (79*t[6])/8 + (91*t[7])/2 - (71*t[8])/4 + (657*t[9])/16 + 
       (45*t[10])/4 - 7*t[11] + (49*t[12])/16 - (199*t[13])/18 + 
       (625*t[14])/16 + (601*t[15])/288 + 4*t[20] - 2*t[22] - 6*t[28] + 
       6*t[29] - 7*t[30] + (7*t[32])/2 - (9*t[33])/2 - 4*t[34] + 10*t[35] + 
       2*t[37] + t[41] - t[42] + (9*t[44])/2 + 2*t[47] - (87*t[48])/8 + 
       (3*t[49])/4 + (193*t[50])/8 - (3*t[51])/8 - (193*t[52])/8 - 
       (3*t[53])/4 + (43*t[54])/8 + t[59]/2 + (137*t[60])/8 + (259*t[61])/4 - 
       (757*t[62])/16 + (655*t[63])/16 + (13*t[64])/8 - (55*t[65])/4 - 
       (491*t[66])/12 + 6*t[69] + 4*t[73] - 5*t[74] + 10*t[75] + 2*t[79] - 
       2*t[80] + (9*t[81])/4 - (9*t[82])/4 + t[83] + (5*t[84])/2 - 
       (13*t[85])/8 + 22*t[86] - (67*t[87])/8 + (61*t[88])/16 - 
       (59*t[89])/4 + 2*t[95] - 16*t[99] - 61*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (-2*t[1] - (67*t[2])/12 + (45*t[3])/8 - (2951*t[4])/144 + 
       (4201*t[5])/144 - (357*t[6])/16 - (1849*t[7])/72 - (1591*t[8])/72 - 
       (2491*t[9])/144 + (9605*t[10])/288 - (613*t[11])/16 - (467*t[12])/96 - 
       (4717*t[13])/216 - (34979*t[14])/1728 + (173*t[15])/16 - 
       (11*t[19])/6 - 2*t[20] - 2*t[21] + t[22] + 2*t[23] - (7*t[25])/3 + 
       t[26] - (4*t[27])/3 + 3*t[28] - (25*t[29])/12 + t[30] + (8*t[31])/3 - 
       (7*t[32])/3 + (7*t[33])/3 + t[34]/3 - 5*t[35] + (3*t[36])/2 + 
       3*t[37] + (2*t[38])/3 + (43*t[39])/12 + 3*t[40] - (5*t[41])/3 + 
       (5*t[42])/3 - t[43]/6 + (7*t[44])/6 + (83*t[46])/12 - (4*t[47])/3 - 
       (21*t[48])/16 + (6431*t[49])/288 - (181*t[50])/16 - (3563*t[51])/192 + 
       (271*t[52])/48 - (2783*t[53])/288 + (43*t[54])/18 - t[58] - 
       (11*t[59])/6 - (9569*t[60])/144 - (2065*t[61])/144 + 
       (23839*t[62])/288 + (7891*t[63])/96 - (14441*t[64])/288 + 
       (28097*t[65])/432 + (14497*t[66])/144 + t[69]/6 + (2*t[72])/3 + 
       (49*t[73])/3 - (7*t[74])/3 + (107*t[75])/6 + (49*t[76])/2 + 
       (2*t[77])/3 - (74*t[78])/3 + (55*t[79])/6 + (22*t[80])/3 + 
       (77*t[81])/12 + (35*t[82])/4 - (1489*t[83])/36 - (1997*t[84])/144 + 
       (973*t[85])/144 - (775*t[86])/18 - (1297*t[87])/48 - (2225*t[88])/96 - 
       (721*t[89])/288 + 7*t[95] + 5*t[96] + (7*t[97])/3 + 148*t[98] - 
       138*t[99] - (721*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w]*((-53*t[1])/6 - (143*t[2])/24 + (295*t[3])/24 - 
       (2899*t[4])/48 + (103*t[5])/12 - (4399*t[6])/192 - (103*t[7])/96 - 
       (2039*t[8])/96 - (149*t[9])/12 - (1199*t[10])/48 - (3991*t[11])/192 + 
       (73*t[12])/4 - (347*t[13])/18 - (4103*t[14])/288 - (121*t[15])/24 - 
       t[19]/3 - t[20]/2 + t[22]/2 + (2*t[25])/3 + (29*t[26])/6 - 4*t[28] + 
       t[29]/2 - (3*t[30])/4 - (7*t[31])/2 + (4*t[34])/3 + 6*t[35] + 
       12*t[36] + (25*t[37])/12 - (41*t[38])/6 - 5*t[39] + (23*t[40])/3 - 
       (5*t[41])/12 + (5*t[42])/12 + t[43]/4 - (3*t[44])/2 - 4*t[45] - 
       (113*t[46])/24 + (17*t[47])/2 - (1811*t[48])/192 - (1583*t[49])/96 - 
       (89*t[50])/64 + (1651*t[51])/192 - (1013*t[52])/192 + (545*t[53])/32 + 
       (1231*t[54])/192 - (4*t[58])/3 + 4*t[59] - (3905*t[60])/96 + 
       (2167*t[61])/96 - (5795*t[62])/192 + (5973*t[63])/64 + 
       (13753*t[64])/192 + (553*t[65])/16 + (6347*t[66])/144 + (5*t[69])/3 + 
       (5*t[70])/12 - (5*t[71])/12 + (13*t[72])/2 - (53*t[73])/24 - 
       (65*t[74])/24 - (623*t[75])/24 + (29*t[76])/3 - (7*t[77])/2 - 
       12*t[78] + (175*t[79])/24 + (25*t[80])/2 - (125*t[81])/16 + 
       (335*t[82])/48 + (341*t[83])/12 - (107*t[84])/8 - (63*t[85])/32 + 
       (221*t[86])/8 + (2429*t[87])/96 + (303*t[88])/64 - (3893*t[89])/192 + 
       (4*t[97])/3 + 68*t[98] - 72*t[99] - (457*t[100])/8) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((51*t[2])/2 - 46*t[3] + (13*t[4])/2 + (55*t[5])/2 + 32*t[6] + 
       (49*t[7])/4 + (395*t[8])/4 - (25*t[9])/4 - (317*t[10])/4 + 
       (243*t[11])/2 - 2*t[12] + (2351*t[13])/36 + (1433*t[14])/24 + 
       (133*t[15])/8 - 6*t[20] + 8*t[22] + 8*t[28] - 6*t[30] + 4*t[31] - 
       10*t[32] - 16*t[35] + 24*t[36] + (61*t[43])/4 - 28*t[44] + 
       (13*t[45])/2 - 2*t[46] - 13*t[47] + (23*t[48])/2 - t[49]/2 - 
       (37*t[50])/2 - (23*t[51])/8 + (37*t[52])/2 + t[53]/2 - (11*t[54])/2 + 
       64*t[60] + (341*t[61])/2 - (195*t[62])/4 - (233*t[63])/4 + 
       (405*t[64])/4 - (101*t[65])/3 - (770*t[66])/3 - 6*t[69] + 4*t[72] + 
       10*t[74] - 10*t[77] - 14*t[79] + 40*t[80] + 22*t[81] - 18*t[82] - 
       29*t[83] + 22*t[84] + 33*t[85] + 82*t[86] - 61*t[87] - (61*t[88])/2 + 
       (5*t[89])/2 - 57*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-17*t[3])/2 + (105*t[4])/2 - (141*t[5])/2 + 
       (67*t[6])/2 + (155*t[7])/4 + (349*t[8])/4 + (397*t[9])/4 - 
       (401*t[10])/4 + 65*t[11] + (47*t[12])/2 + (2063*t[13])/36 + 
       (169*t[14])/3 - (691*t[15])/24 - 2*t[16] + 16*t[25] - 16*t[26] - 
       2*t[27] - 10*t[28] - t[29] - 10*t[31] + 20*t[35] - 12*t[36] - 
       10*t[39] + 10*t[40] - (13*t[43])/4 + (13*t[44])/2 - (53*t[45])/2 - 
       9*t[46] + 53*t[47] + 17*t[48] + (45*t[49])/2 - 36*t[50] - 2*t[51] + 
       36*t[52] - (49*t[53])/2 + 32*t[54] + 64*t[60] + (341*t[61])/2 - 
       (195*t[62])/4 - (233*t[63])/4 + (405*t[64])/4 - (101*t[65])/3 - 
       (770*t[66])/3 - 6*t[69] + 4*t[72] + 10*t[74] - 10*t[77] - 14*t[79] + 
       40*t[80] + 22*t[81] - 18*t[82] - 29*t[83] + 22*t[84] + 33*t[85] + 
       82*t[86] - 61*t[87] - (61*t[88])/2 + (5*t[89])/2 - 57*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      ((799*t[2])/72 + (271*t[3])/12 - (241*t[4])/9 + (1705*t[5])/288 - 
       (113*t[6])/8 + (2849*t[7])/144 + (5933*t[8])/144 + (5843*t[9])/288 - 
       (4441*t[10])/144 - (175*t[11])/16 + (329*t[12])/96 - (308*t[13])/27 - 
       (15923*t[14])/864 - (35275*t[15])/1728 - (5*t[20])/2 + t[22] + 
       t[23]/3 + (3*t[24])/2 + (31*t[29])/3 + (7*t[30])/6 - (23*t[31])/6 + 
       (55*t[32])/4 - (15*t[33])/2 + (8*t[34])/3 - 2*t[35] + (91*t[36])/12 - 
       t[37] - t[40] - t[41]/2 + t[42]/2 + (23*t[43])/6 - (101*t[44])/12 - 
       t[47] + (29*t[48])/24 + (131*t[49])/36 + (73*t[50])/24 - 
       (39*t[51])/16 - (73*t[52])/24 - (131*t[53])/36 - (655*t[54])/72 - 
       (149*t[59])/36 - (263*t[60])/72 - (7567*t[61])/72 - (1427*t[62])/36 - 
       (899*t[63])/24 + (14941*t[64])/144 + (2129*t[65])/216 + 
       (157*t[66])/24 + (10*t[69])/3 - 2*t[70] + 2*t[71] - t[72] - 
       (7*t[73])/12 - (28*t[74])/3 - (43*t[75])/12 + 4*t[76] - 9*t[77] - 
       9*t[78] + (115*t[79])/12 + 19*t[80] + (107*t[81])/12 - (19*t[82])/12 + 
       (763*t[83])/36 - (193*t[84])/36 + (937*t[85])/72 + (4877*t[86])/36 + 
       (569*t[87])/24 + (163*t[88])/16 - (247*t[89])/144 + (14*t[95])/3 - 
       4*t[99] - (683*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v]*((-4*t[1])/3 - (187*t[2])/32 - (1205*t[3])/144 - 
       (4345*t[4])/288 + (3577*t[5])/288 + (98*t[6])/9 + (203*t[7])/96 + 
       (7697*t[8])/288 - (154*t[9])/9 - (3509*t[10])/576 + (2195*t[11])/288 + 
       (3881*t[12])/576 - (5017*t[13])/864 + (12701*t[14])/1152 + 
       (32887*t[15])/1728 + (47*t[20])/18 - (5*t[24])/12 + t[25]/4 - 
       t[26]/4 - t[27]/4 - (191*t[28])/18 - (791*t[29])/48 + (169*t[30])/72 + 
       (77*t[31])/12 + (7*t[32])/24 - (127*t[33])/72 + (53*t[34])/6 + 
       (217*t[35])/12 + 3*t[36] - (8*t[38])/3 - t[39]/8 - (83*t[40])/24 + 
       t[43]/2 + (55*t[44])/18 - (28*t[45])/3 - t[46]/2 + (20*t[47])/3 + 
       (505*t[48])/144 + (2587*t[49])/576 + (19*t[50])/144 - 
       (4195*t[51])/1152 + (1229*t[52])/144 - (2395*t[53])/576 - 
       (83*t[54])/96 + (53*t[59])/12 - (11725*t[60])/288 + (1937*t[61])/96 - 
       (17315*t[62])/576 + (54287*t[63])/576 + (40709*t[64])/576 + 
       (4937*t[65])/144 + (2219*t[66])/48 + (5*t[69])/2 + (13*t[72])/2 - 
       (43*t[73])/24 - (25*t[74])/8 - (613*t[75])/24 + (29*t[76])/3 - 
       (7*t[77])/2 - 12*t[78] + (55*t[79])/8 + (25*t[80])/2 - 
       (385*t[81])/48 + (115*t[82])/16 + (2051*t[83])/72 - (107*t[84])/8 - 
       (457*t[85])/288 + (2059*t[86])/72 + (7217*t[87])/288 + 
       (2657*t[88])/576 - (11729*t[89])/576 + (4*t[97])/3 + 68*t[98] - 
       72*t[99] - (1351*t[100])/24) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((31*t[1])/3 - (3*t[2])/2 + 
       (136*t[3])/9 + (49*t[4])/6 - (1759*t[5])/288 - (3577*t[6])/144 + 
       (2263*t[7])/144 + (7*t[8])/144 - (71*t[9])/96 - (4189*t[10])/144 + 
       (595*t[11])/72 - (689*t[12])/288 + (193*t[13])/27 - 
       (36017*t[14])/864 - (11309*t[15])/576 - t[16] - (41*t[25])/6 - 
       (7*t[26])/2 - t[27] - (395*t[28])/36 - (5*t[29])/18 + (10*t[30])/9 - 
       (67*t[31])/6 + (22*t[35])/3 + (16*t[36])/3 + (3*t[37])/2 + 
       (31*t[38])/3 - 9*t[39] + 9*t[40] - (2*t[43])/3 + (61*t[44])/36 - 
       9*t[45] - (53*t[46])/12 + 18*t[47] - (655*t[48])/48 + (341*t[49])/24 + 
       (367*t[50])/144 + (215*t[51])/48 - (367*t[52])/144 - (355*t[53])/24 - 
       (1255*t[54])/144 - (113*t[59])/36 - (157*t[60])/72 - (8051*t[61])/72 - 
       (1441*t[62])/36 - (979*t[63])/24 + (14765*t[64])/144 + 
       (2251*t[65])/216 + (239*t[66])/24 + (13*t[69])/2 - 3*t[70] + 3*t[71] + 
       t[72]/6 + (19*t[73])/12 - (31*t[74])/3 - (17*t[75])/12 + 4*t[76] - 
       9*t[77] - 9*t[78] + (89*t[79])/12 + 19*t[80] + (101*t[81])/12 - 
       (13*t[82])/12 + (409*t[83])/18 - (179*t[84])/36 + (1031*t[85])/72 + 
       (5059*t[86])/36 + (499*t[87])/24 + (419*t[88])/48 - (263*t[89])/144 + 
       (14*t[95])/3 - 4*t[99] - (163*t[100])/3) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - v]*((225*t[1])/2 - (1197*t[2])/4 - 
       (2931*t[3])/8 + (699*t[4])/4 + (7113*t[5])/8 - (1761*t[6])/8 + 
       (297*t[7])/4 + (7059*t[8])/4 - (4545*t[9])/8 + (11889*t[10])/8 + 
       (3513*t[11])/8 - (1251*t[12])/2 - (19447*t[13])/24 + (6521*t[14])/16 - 
       (1733*t[15])/12 + 27*t[17] - 72*t[19] - 72*t[20] - 72*t[21] + 
       216*t[22] + 72*t[23] - 108*t[24] + 72*t[27] - 144*t[28] + 
       (309*t[29])/2 - 129*t[30] - 360*t[31] + (351*t[32])/2 - 105*t[33] - 
       405*t[34] + 144*t[35] + 12*t[36] - 69*t[37] + 66*t[38] + 78*t[39] - 
       33*t[40] - 66*t[41] + 66*t[42] - 102*t[43] + (939*t[44])/4 + 
       510*t[45] + 36*t[46] - 603*t[47] + (7035*t[48])/8 + (5091*t[49])/8 - 
       (2697*t[50])/8 - (6363*t[51])/16 + (3153*t[52])/8 - (3747*t[53])/8 - 
       (5859*t[54])/8 - 36*t[55] + 72*t[57] + (69*t[59])/2 + (765*t[60])/2 + 
       (5529*t[61])/4 - (22605*t[62])/8 - (28563*t[63])/8 + (8049*t[64])/8 - 
       (983*t[65])/2 - 2609*t[66] - 54*t[68] + 66*t[70] - 66*t[71] + 
       432*t[72] + 276*t[73] + 33*t[74] - 852*t[75] + 246*t[76] + 69*t[77] - 
       777*t[78] - 120*t[79] - 792*t[80] + (63*t[81])/2 + (27*t[82])/2 + 
       312*t[83] + (291*t[84])/2 - (1143*t[85])/4 + 1284*t[86] - 
       (159*t[87])/4 + (4089*t[88])/8 - (447*t[89])/4 + 36*t[93] - 66*t[95] + 
       186*t[96] + 189*t[97] + 396*t[98] - 432*t[99] - 54*t[100]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w]*((-255*t[1])/2 - (159*t[2])/2 + 
       (417*t[3])/2 + (477*t[4])/2 - (8475*t[5])/8 - (5301*t[6])/8 + 
       1128*t[7] - 1782*t[8] + (7491*t[9])/8 - (6405*t[10])/8 + 
       (19119*t[11])/8 + (7305*t[12])/4 + (4585*t[13])/6 - (363*t[14])/4 - 
       (11087*t[15])/16 + 36*t[16] - 144*t[25] + 261*t[26] + 108*t[27] + 
       204*t[28] - 108*t[29] + 78*t[31] + 72*t[32] - 72*t[33] - 96*t[34] - 
       90*t[35] + 111*t[36] + 30*t[37] - 63*t[38] + 246*t[39] - 30*t[40] + 
       48*t[41] - 48*t[42] - 207*t[43] + 216*t[44] - 48*t[45] + 72*t[46] + 
       168*t[47] - (5481*t[48])/8 - (6261*t[49])/8 + (1215*t[50])/8 + 
       (2123*t[51])/8 - (1935*t[52])/8 + (7593*t[53])/8 - (363*t[54])/8 + 
       12*t[58] + (69*t[59])/2 + (765*t[60])/2 + (5529*t[61])/4 - 
       (22605*t[62])/8 - (28563*t[63])/8 + (8049*t[64])/8 - (983*t[65])/2 - 
       2609*t[66] - 54*t[68] + 66*t[70] - 66*t[71] + 432*t[72] + 276*t[73] + 
       33*t[74] - 852*t[75] + 246*t[76] + 69*t[77] - 777*t[78] - 120*t[79] - 
       792*t[80] + (63*t[81])/2 + (27*t[82])/2 + 312*t[83] + (291*t[84])/2 - 
       (1143*t[85])/4 + 1284*t[86] - (159*t[87])/4 + (4089*t[88])/8 - 
       (447*t[89])/4 + 36*t[93] - 66*t[95] + 186*t[96] + 189*t[97] + 
       396*t[98] - 432*t[99] - 54*t[100]) + HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - v]*
      (56*t[1] - (615*t[2])/4 - (613*t[3])/4 + (549*t[4])/4 + (3213*t[5])/8 - 
       (885*t[6])/8 + (107*t[7])/4 + (3461*t[8])/4 - (2491*t[9])/8 + 
       (6047*t[10])/8 + (1657*t[11])/8 - (1207*t[12])/4 - (5239*t[13])/12 + 
       (3325*t[14])/16 - (3241*t[15])/48 + 11*t[17] - 36*t[19] - 40*t[20] - 
       36*t[21] + 112*t[22] + 34*t[23] - 48*t[24] + 36*t[27] - 72*t[28] + 
       72*t[29] - 38*t[30] - 160*t[31] + (183*t[32])/2 - 57*t[33] - 
       196*t[34] + 72*t[35] - 4*t[36] - 31*t[37] + 35*t[38] + 33*t[39] - 
       (19*t[40])/2 - (65*t[41])/2 + (65*t[42])/2 - (197*t[43])/4 + 
       69*t[44] + (523*t[45])/2 + 18*t[46] - (615*t[47])/2 + (3445*t[48])/8 + 
       (2627*t[49])/8 - (1299*t[50])/8 - (3255*t[51])/16 + (1459*t[52])/8 - 
       (1955*t[53])/8 - (2815*t[54])/8 - 16*t[55] + 2*t[56] + 36*t[57] + 
       9*t[59] + 58*t[60] + 656*t[61] - (5487*t[62])/4 - (6463*t[63])/4 + 
       (959*t[64])/2 - (1167*t[65])/4 - (13607*t[66])/12 - 22*t[68] + 
       30*t[70] - 30*t[71] + 180*t[72] + 120*t[73] + 15*t[74] - 388*t[75] + 
       (245*t[76])/2 + 32*t[77] - (785*t[78])/2 - 20*t[79] - 418*t[80] + 
       (15*t[81])/2 + 15*t[82] + 190*t[83] + (83*t[84])/4 - 139*t[85] + 
       661*t[86] - (23*t[87])/2 + (929*t[88])/4 - (325*t[89])/4 + 14*t[93] - 
       30*t[95] + 96*t[96] + 91*t[97] + 204*t[98] - 216*t[99] - 54*t[100]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w]*(-46*t[1] - (79*t[2])/2 + 
       (227*t[3])/2 + (531*t[4])/4 - (4333*t[5])/8 - (2489*t[6])/8 + 
       615*t[7] - 909*t[8] + (4013*t[9])/8 - (2847*t[10])/8 + 
       (8909*t[11])/8 + (1649*t[12])/2 + (10499*t[13])/36 - (3217*t[14])/48 - 
       (16427*t[15])/48 + 14*t[16] - 72*t[25] + 117*t[26] + 48*t[27] + 
       74*t[28] - 42*t[29] + 2*t[30] + 34*t[31] + 36*t[32] - 36*t[33] - 
       49*t[34] - 64*t[35] + 49*t[36] + 16*t[37] - 17*t[38] + (231*t[39])/2 - 
       17*t[40] + (49*t[41])/2 - (49*t[42])/2 - (209*t[43])/2 + 93*t[44] - 
       (31*t[45])/2 + 24*t[46] + 67*t[47] - (2757*t[48])/8 - (2553*t[49])/8 + 
       (791*t[50])/8 + (1765*t[51])/16 - (1071*t[52])/8 + (3285*t[53])/8 - 
       (397*t[54])/8 + 7*t[58] + 9*t[59] + 58*t[60] + 656*t[61] - 
       (5487*t[62])/4 - (6463*t[63])/4 + (959*t[64])/2 - (1167*t[65])/4 - 
       (13607*t[66])/12 - 22*t[68] + 30*t[70] - 30*t[71] + 180*t[72] + 
       120*t[73] + 15*t[74] - 388*t[75] + (245*t[76])/2 + 32*t[77] - 
       (785*t[78])/2 - 20*t[79] - 418*t[80] + (15*t[81])/2 + 15*t[82] + 
       190*t[83] + (83*t[84])/4 - 139*t[85] + 661*t[86] - (23*t[87])/2 + 
       (929*t[88])/4 - (325*t[89])/4 + 14*t[93] - 30*t[95] + 96*t[96] + 
       91*t[97] + 204*t[98] - 216*t[99] - 54*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (t[1]/2 + 27*t[2] + (73*t[3])/12 + (233*t[4])/12 + (63*t[5])/8 - 
       (335*t[6])/24 + (49*t[7])/12 - (121*t[8])/12 + (385*t[9])/24 - 
       (275*t[10])/8 + (277*t[11])/8 - (35*t[12])/6 + (195*t[13])/8 + 
       (701*t[14])/48 - (4547*t[15])/432 - 3*t[20] + t[22] - 3*t[26] + 
       2*t[28] - (22*t[29])/3 - (5*t[30])/3 - (11*t[32])/6 - (10*t[33])/3 + 
       (11*t[34])/3 - 2*t[35] + 6*t[36] - 4*t[37] + 2*t[38] - 4*t[39] + 
       6*t[40] - (3*t[41])/2 + (3*t[42])/2 + (14*t[44])/3 - 4*t[45] - 
       5*t[46] + 6*t[47] - (85*t[48])/8 + (91*t[49])/24 - (53*t[50])/8 - 
       (7*t[51])/48 + (13*t[52])/8 - (91*t[53])/24 - (355*t[54])/24 - t[58] - 
       (16*t[59])/3 + (229*t[60])/4 + (7*t[61])/3 - (403*t[62])/24 - 
       (53*t[63])/24 - (103*t[64])/3 - (97*t[65])/6 - (661*t[66])/18 - 
       2*t[69] + (7*t[74])/3 - 6*t[75] + 7*t[76] - 4*t[77] - 8*t[78] + 
       2*t[79] + 12*t[80] - (7*t[81])/2 + (15*t[82])/2 - 7*t[83] + 
       (11*t[84])/2 + (199*t[85])/12 + 38*t[86] - (247*t[87])/12 - 
       (431*t[88])/24 - (55*t[89])/4 - (2*t[95])/3 + t[97] + 48*t[98] - 
       24*t[99] - 53*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((55*t[1])/72 - (985*t[2])/144 + (457*t[3])/48 - 
       (473*t[4])/288 + (331*t[5])/24 - (323*t[6])/96 + (139*t[7])/12 + 
       (67*t[8])/18 + (89*t[9])/144 - (9667*t[10])/576 + (479*t[11])/32 + 
       (361*t[12])/576 + (17053*t[13])/2592 - (6839*t[14])/1152 - 
       (12509*t[15])/1728 + t[20] - t[22] - (5*t[26])/4 - (5*t[27])/9 + 
       t[28]/9 - (22*t[29])/9 - (61*t[30])/18 + (49*t[31])/18 + 
       (13*t[32])/4 - 3*t[33] + (31*t[34])/36 + (23*t[35])/3 + (25*t[36])/6 - 
       t[37]/3 + (10*t[38])/9 + (5*t[39])/6 + (5*t[40])/6 + (23*t[41])/72 - 
       (23*t[42])/72 + (41*t[43])/18 + (317*t[44])/72 - (23*t[46])/24 + 
       t[47]/2 + (1393*t[48])/288 + (77*t[49])/192 - (2855*t[50])/288 + 
       (93*t[51])/128 + (2095*t[52])/288 + (409*t[53])/576 - 
       (641*t[54])/144 - (5*t[58])/12 + (11*t[59])/72 + (885*t[60])/32 + 
       (1897*t[61])/96 - (10543*t[62])/576 - (5737*t[63])/576 + 
       (13717*t[64])/576 + (3997*t[65])/864 - (14629*t[66])/864 + t[69] - 
       (19*t[72])/9 + (35*t[73])/12 - 3*t[74] + (11*t[75])/12 + 
       (245*t[76])/36 - (43*t[77])/36 - (185*t[78])/18 - (10*t[79])/3 + 
       (76*t[80])/9 - (233*t[81])/72 + (37*t[82])/24 - (13*t[83])/2 - 
       (107*t[84])/288 + (959*t[85])/288 + (347*t[86])/18 - 
       (2299*t[87])/288 - (1723*t[88])/576 + (3263*t[89])/576 - t[95] + 
       (5*t[96])/3 + (55*t[97])/36 + (245*t[98])/6 - (185*t[99])/6 - 
       (157*t[100])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((35*t[1])/2 - (47*t[2])/2 + (71*t[3])/8 - 
       (189*t[4])/8 - (105*t[5])/16 - (531*t[6])/16 - (233*t[7])/8 - 
       (447*t[8])/8 + (39*t[9])/16 + (853*t[10])/16 + (287*t[11])/16 - 
       t[12]/4 + (6569*t[13])/144 + (2815*t[14])/96 - (6781*t[15])/288 + 
       2*t[16] - 6*t[25] + 3*t[26] + 10*t[27] + 18*t[28] - 3*t[29] - 
       9*t[30] + 20*t[31] + 2*t[32] - 2*t[33] - 5*t[34] + 26*t[35] + 
       8*t[36] - 10*t[37] + 18*t[38] + 17*t[39] + (9*t[40])/2 + (5*t[41])/2 - 
       (5*t[42])/2 - (9*t[43])/4 + (21*t[44])/2 - (5*t[45])/4 + 2*t[46] + 
       (9*t[47])/2 - (263*t[48])/16 + (193*t[49])/16 - (971*t[50])/16 - 
       (71*t[51])/32 + (603*t[52])/16 + (127*t[53])/16 + (401*t[54])/16 - 
       3*t[58] - (9*t[59])/2 - (19*t[60])/4 + 133*t[61] - (583*t[62])/8 - 
       (137*t[63])/8 + (347*t[64])/4 - (149*t[65])/3 - (787*t[66])/6 - 
       4*t[68] - 2*t[69] + 12*t[72] + 26*t[73] - 2*t[74] - 18*t[75] + 
       96*t[76] + 14*t[77] - 123*t[78] - 26*t[79] + 3*t[80] + 4*t[81] - 
       12*t[82] - 25*t[83] - (187*t[84])/4 + (23*t[85])/4 - (129*t[86])/2 - 
       39*t[87] - (47*t[88])/2 + (187*t[89])/8 - t[91]/6 + 2*t[93] + 
       4*t[95] + 24*t[96] + 19*t[97] + 372*t[98] - 372*t[99] - 52*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-4*t[1])/3 + (175*t[2])/12 + (521*t[3])/24 + (135*t[4])/4 + 
       (11*t[5])/6 - (7*t[6])/3 + 7*t[7] - (11*t[8])/6 + (28*t[9])/3 - 
       (205*t[10])/24 + (139*t[11])/4 - (127*t[12])/24 + (2849*t[13])/108 + 
       (517*t[14])/48 + (5363*t[15])/432 - 2*t[18] - 10*t[20] + 10*t[22] + 
       4*t[28] + (56*t[29])/3 + (7*t[30])/3 + (16*t[32])/3 - (31*t[33])/3 - 
       (23*t[34])/3 - 6*t[35] - 4*t[36] - (8*t[37])/3 - t[38] + t[40]/6 - 
       (4*t[41])/3 + (4*t[42])/3 - (7*t[43])/3 - 4*t[44] - 3*t[45] - 
       t[47]/3 + (19*t[48])/6 + (53*t[49])/8 + (5*t[50])/2 - (61*t[51])/16 - 
       (9*t[52])/2 - (53*t[53])/8 - (43*t[54])/2 - (11*t[59])/3 - 
       (146*t[60])/3 + (317*t[61])/12 + (235*t[62])/4 + (149*t[63])/3 - 
       (1681*t[64])/24 + (119*t[65])/18 - (169*t[66])/9 - (5*t[67])/3 - 
       8*t[69] - (2*t[70])/3 + (2*t[71])/3 - 2*t[73] + 2*t[74] - 2*t[75] + 
       (10*t[76])/3 + (10*t[77])/3 + 5*t[78] - (16*t[80])/3 + (25*t[81])/6 - 
       (5*t[82])/6 - 10*t[83] - (15*t[84])/2 - (17*t[85])/4 - (136*t[86])/3 - 
       (89*t[87])/4 - (635*t[88])/24 - (559*t[89])/24 + (16*t[95])/3 + 
       (8*t[96])/3 - t[97] + 24*t[98] - 8*t[99] - (103*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((13*t[1])/2 + (7*t[2])/6 + (7*t[3])/12 - (127*t[4])/4 - 
       (287*t[5])/24 + (7*t[6])/12 - (35*t[7])/4 - (215*t[8])/12 + 
       (317*t[9])/24 + (47*t[10])/3 - (165*t[11])/4 - (361*t[12])/24 - 
       (97*t[13])/8 + (293*t[14])/72 + (469*t[15])/144 + (2*t[16])/3 - 
       (2*t[19])/3 - 8*t[25] - (13*t[26])/3 + 4*t[28] + 4*t[31] + t[34]/3 - 
       4*t[35] - (16*t[37])/3 + (26*t[38])/3 + (16*t[39])/3 - 4*t[40] - 
       t[41]/6 + t[42]/6 + (14*t[45])/3 - (23*t[46])/2 - (28*t[47])/3 + 
       (17*t[48])/12 + (115*t[49])/4 - (15*t[50])/4 + (29*t[51])/4 + 
       (19*t[52])/4 - (91*t[53])/4 + (131*t[54])/6 - (2*t[58])/3 - 
       (11*t[59])/3 - (146*t[60])/3 + (317*t[61])/12 + (235*t[62])/4 + 
       (149*t[63])/3 - (1681*t[64])/24 + (119*t[65])/18 - (169*t[66])/9 - 
       (5*t[67])/3 - 8*t[69] - (2*t[70])/3 + (2*t[71])/3 - 2*t[73] + 
       2*t[74] - 2*t[75] + (10*t[76])/3 + (10*t[77])/3 + 5*t[78] - 
       (16*t[80])/3 + (25*t[81])/6 - (5*t[82])/6 - 10*t[83] - (15*t[84])/2 - 
       (17*t[85])/4 - (136*t[86])/3 - (89*t[87])/4 - (635*t[88])/24 - 
       (559*t[89])/24 + (16*t[95])/3 + (8*t[96])/3 - t[97] + 24*t[98] - 
       8*t[99] - (103*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((-15*t[1])/4 + (5*t[3])/2 + (1493*t[4])/16 + 
       (705*t[5])/32 + (533*t[6])/32 - (69*t[7])/4 + (127*t[8])/4 - 
       (789*t[9])/32 + (381*t[10])/16 + (977*t[11])/32 - (875*t[12])/32 + 
       (1345*t[13])/48 - (647*t[14])/192 - (3083*t[15])/192 + (15*t[26])/4 - 
       13*t[28] + 3*t[29] - 3*t[30] - (3*t[36])/4 - (15*t[38])/4 + 4*t[44] + 
       (501*t[48])/32 + (139*t[49])/8 - (363*t[50])/32 - (1355*t[51])/64 + 
       (363*t[52])/32 - (49*t[53])/2 - (1315*t[54])/32 + (15*t[59])/8 + 
       (1389*t[60])/16 + (127*t[61])/4 - (69*t[62])/8 - (629*t[63])/8 - 
       (601*t[64])/8 - (365*t[65])/48 - (2887*t[66])/48 - (3*t[69])/2 + 
       12*t[73] + (15*t[74])/4 - 41*t[75] + 4*t[76] - 11*t[78] + 10*t[79] + 
       (49*t[81])/8 - (65*t[82])/8 + (59*t[83])/4 + (651*t[84])/16 + 
       (379*t[85])/8 + 5*t[86] - (135*t[87])/4 - (23*t[88])/2 + 
       (1441*t[89])/32 - (15*t[95])/2 + 6*t[99] - 50*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-45*t[2])/16 - (1525*t[3])/32 - (261*t[4])/16 - (2211*t[5])/32 + 
       (151*t[6])/8 + (1281*t[7])/16 + (201*t[8])/16 + (4353*t[9])/32 - 
       (163*t[10])/32 - (19*t[11])/4 + (189*t[12])/8 + (199*t[13])/96 + 
       (11377*t[14])/192 - (71*t[15])/12 - (3*t[20])/2 - 3*t[28] - 
       (21*t[29])/8 - 19*t[30] + (27*t[32])/8 + (15*t[34])/2 - 3*t[35] + 
       7*t[36] - (3*t[39])/8 + (13*t[40])/8 - (163*t[44])/16 + 10*t[46] - 
       (227*t[48])/16 - (693*t[49])/32 + (211*t[50])/16 + (37*t[51])/64 - 
       (211*t[52])/16 + (693*t[53])/32 + (573*t[54])/16 + (15*t[59])/8 + 
       (1389*t[60])/16 + (127*t[61])/4 - (69*t[62])/8 - (629*t[63])/8 - 
       (601*t[64])/8 - (365*t[65])/48 - (2887*t[66])/48 - (3*t[69])/2 + 
       12*t[73] + (15*t[74])/4 - 41*t[75] + 4*t[76] - 11*t[78] + 10*t[79] + 
       (49*t[81])/8 - (65*t[82])/8 + (59*t[83])/4 + (651*t[84])/16 + 
       (379*t[85])/8 + 5*t[86] - (135*t[87])/4 - (23*t[88])/2 + 
       (1441*t[89])/32 - (15*t[95])/2 + 6*t[99] - 50*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((31*t[1])/6 - (29*t[2])/12 - (409*t[3])/24 - (119*t[4])/36 + 
       (3607*t[5])/144 + (559*t[6])/24 - (2755*t[7])/72 + (16871*t[8])/72 - 
       (13435*t[9])/144 + (1333*t[10])/36 + (209*t[11])/12 + (219*t[12])/16 - 
       (101*t[13])/3 + (785*t[14])/54 + (7019*t[15])/288 - t[16]/6 - t[18] + 
       (8*t[19])/3 - 3*t[20] + 4*t[21] + 3*t[22] - 4*t[23] - t[24] + 
       2*t[25] + 3*t[26] - (4*t[27])/3 - 17*t[28] + (41*t[29])/6 - 
       (10*t[30])/3 - 4*t[31] + (95*t[32])/6 - (19*t[33])/3 - (74*t[34])/3 - 
       9*t[35] + (65*t[36])/6 + t[37]/3 + (5*t[38])/6 - 9*t[39] + 
       (15*t[40])/2 + (43*t[41])/6 - (31*t[42])/6 + (7*t[43])/6 - 
       (167*t[44])/12 + (44*t[45])/3 - (65*t[46])/6 - (20*t[47])/3 + 
       (979*t[48])/24 + (1217*t[49])/72 - (199*t[50])/8 - (73*t[51])/16 + 
       (183*t[52])/8 - (593*t[53])/72 + (907*t[54])/72 + t[58] + 
       (26*t[59])/3 - (605*t[60])/36 + (6299*t[61])/36 - (1219*t[62])/9 - 
       (154*t[63])/3 + (4891*t[64])/72 + (2179*t[65])/54 + (19*t[66])/18 + 
       t[68]/3 + (14*t[69])/3 - t[70] + t[71] + 5*t[72] - (31*t[73])/6 - 
       (34*t[74])/3 - (7*t[75])/6 - t[76] - 5*t[77] - (41*t[78])/3 + 
       (79*t[79])/6 + (31*t[80])/3 - (47*t[81])/3 - (13*t[82])/3 - 
       (133*t[83])/9 - (487*t[84])/18 - (599*t[85])/9 + (989*t[86])/18 + 
       71*t[87] + (277*t[88])/6 + (313*t[89])/36 + (2*t[95])/3 + 
       (28*t[96])/3 + (34*t[97])/3 - 28*t[98] - 14*t[99] - (287*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      (t[1]/2 - (8*t[2])/3 - (269*t[3])/8 + (413*t[4])/24 + (301*t[5])/48 + 
       (20*t[6])/3 - (445*t[7])/24 - (125*t[8])/24 + (45*t[9])/16 + 
       (401*t[10])/48 + (61*t[11])/8 + (15*t[12])/8 + (2899*t[13])/144 + 
       (1073*t[14])/96 + (1141*t[15])/288 - (3*t[18])/2 - (41*t[20])/6 + 
       t[22]/2 - (19*t[28])/6 - (13*t[29])/2 - 2*t[30] - 3*t[31] + t[32] - 
       (2*t[33])/3 + (8*t[34])/3 + (9*t[35])/2 - 6*t[36] - (3*t[37])/2 + 
       t[41]/4 - t[42]/4 - 3*t[43] - (27*t[44])/4 + t[47]/2 + (19*t[48])/24 + 
       (193*t[49])/48 - (133*t[50])/24 - (193*t[51])/96 + (133*t[52])/24 - 
       (193*t[53])/48 + (5*t[54])/2 + (23*t[59])/6 + (605*t[60])/24 + 
       (703*t[61])/24 + (117*t[62])/16 - (787*t[63])/48 - (387*t[64])/16 + 
       (467*t[65])/36 - (2287*t[66])/36 + (2*t[67])/3 + (13*t[69])/2 - 
       (3*t[70])/2 + (3*t[71])/2 + 2*t[72] - 7*t[73] - (4*t[74])/3 - 
       (3*t[75])/2 + t[76] + 4*t[77] + 2*t[78] + (19*t[79])/2 - (5*t[80])/2 + 
       (65*t[81])/12 - (29*t[82])/12 + (11*t[83])/3 + (157*t[84])/12 + 
       (7*t[85])/8 - (145*t[86])/6 - (59*t[87])/8 - (35*t[88])/16 + 
       (265*t[89])/48 + t[95]/3 + 12*t[98] - 17*t[99] - 47*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-10*t[1])/3 + (7*t[2])/6 - (7*t[3])/6 + (1111*t[4])/72 - 
       (187*t[5])/144 + (23*t[6])/2 - (1589*t[7])/72 - (2681*t[8])/72 + 
       (3739*t[9])/144 + (3089*t[10])/144 - (589*t[11])/24 - (523*t[12])/24 + 
       (913*t[13])/72 + (20323*t[14])/864 - (5221*t[15])/864 - (5*t[16])/6 - 
       (5*t[19])/3 + 2*t[25] - (17*t[26])/6 - (10*t[27])/3 + 6*t[28] - 
       (4*t[29])/3 - 2*t[30] + (26*t[31])/3 - (4*t[32])/3 + (4*t[33])/3 + 
       (7*t[34])/3 - 3*t[35] - (23*t[36])/2 + (4*t[37])/3 - t[38]/2 + 
       8*t[39] - (43*t[40])/6 - (7*t[41])/6 + (7*t[42])/6 - (2*t[43])/3 + 
       (37*t[44])/6 + (23*t[45])/3 - (50*t[47])/3 + (7*t[48])/2 + 
       (989*t[49])/144 - (49*t[50])/6 - (263*t[51])/96 + (47*t[52])/6 - 
       (1493*t[53])/144 + (53*t[54])/72 - (7*t[58])/6 - t[59]/2 + 
       (6313*t[60])/72 + (3911*t[61])/72 + (10579*t[62])/144 + 
       (419*t[63])/48 - (20597*t[64])/144 - (14305*t[65])/216 - 
       (2821*t[66])/72 - t[67]/6 - (5*t[69])/3 - (4*t[72])/3 - (41*t[73])/6 + 
       (40*t[74])/3 - (5*t[75])/6 - (26*t[76])/3 + (11*t[77])/3 + 
       (76*t[78])/3 + (53*t[79])/6 - (61*t[80])/3 + (61*t[81])/6 - 4*t[82] - 
       (191*t[83])/9 + (2713*t[84])/72 + (1303*t[85])/72 - (1877*t[86])/18 - 
       (465*t[87])/8 - (1595*t[88])/48 + (821*t[89])/144 - (4*t[95])/3 - 
       (7*t[96])/3 - (10*t[97])/3 - 40*t[98] + 44*t[99] - (140*t[100])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (3*t[1] + (19*t[3])/2 - (63*t[4])/4 - (21*t[5])/8 - (303*t[6])/16 - 
       (123*t[7])/8 + (77*t[8])/8 - (75*t[9])/8 + (83*t[10])/4 - 
       (207*t[11])/16 - (31*t[12])/8 + (233*t[13])/24 - (937*t[14])/24 - 
       (161*t[15])/48 - 4*t[19] - 2*t[25] + 2*t[26] - 16*t[31] - 6*t[37] - 
       8*t[43] + (5*t[46])/2 + (129*t[48])/16 - (15*t[49])/8 + 
       (97*t[50])/16 + (3*t[51])/16 - (97*t[52])/16 + (15*t[53])/8 - 
       (109*t[54])/16 - (107*t[60])/8 - (295*t[61])/8 - (279*t[62])/16 - 
       (1109*t[63])/16 + (523*t[64])/16 + (237*t[65])/8 + (253*t[66])/12 + 
       6*t[72] + (3*t[73])/2 - (3*t[74])/2 + (15*t[75])/2 + (75*t[79])/4 + 
       12*t[80] + t[81]/2 - 14*t[83] + (9*t[84])/4 - 16*t[85] + 
       (101*t[86])/4 + (17*t[87])/2 + (17*t[88])/4 - (55*t[89])/16 + 
       3*t[99] - (93*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*(-t[1] + (5*t[2])/16 - (23*t[3])/16 + 
       (71*t[4])/48 - (41*t[5])/48 + (515*t[6])/96 + (135*t[7])/16 + 
       (545*t[8])/24 + (31*t[9])/24 - (2993*t[10])/96 + (1589*t[11])/96 + 
       (593*t[12])/96 + (4049*t[13])/432 + (3889*t[14])/576 - (19*t[15])/48 + 
       t[25] - t[27] - (31*t[28])/12 + (19*t[29])/24 + t[30]/2 - 
       (13*t[31])/6 + (8*t[35])/3 + (3*t[36])/2 - (5*t[37])/6 - t[38] - 
       (179*t[39])/48 + (63*t[40])/16 - (15*t[44])/16 - (7*t[45])/2 - 
       (11*t[46])/4 + 7*t[47] + (135*t[48])/32 - (271*t[49])/96 - 
       (317*t[50])/96 + (269*t[51])/192 + (317*t[52])/96 + (199*t[53])/96 + 
       (569*t[54])/96 + t[59]/12 + (485*t[60])/24 + (97*t[61])/16 - 
       (233*t[62])/16 - (691*t[63])/48 + (201*t[64])/8 + (551*t[65])/72 - 
       (124*t[66])/9 + t[69]/6 - (11*t[72])/6 + (5*t[73])/12 - 3*t[74] + 
       (7*t[75])/4 + (5*t[76])/6 - (31*t[77])/12 - (25*t[78])/6 - 
       (5*t[79])/2 + (49*t[80])/6 - (131*t[81])/24 + (67*t[82])/24 - 
       (21*t[83])/4 + (37*t[84])/12 + (33*t[85])/16 + (77*t[86])/3 - 
       (11*t[87])/12 + (13*t[88])/24 + (109*t[89])/48 - t[95] + (5*t[98])/2 + 
       (15*t[99])/2 - (93*t[100])/2) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((37*t[3])/8 - (155*t[4])/8 + 
       (23*t[5])/16 - (75*t[6])/8 + (103*t[7])/8 + (101*t[8])/8 - 
       (97*t[9])/16 - (613*t[10])/16 + (27*t[11])/2 + (21*t[12])/2 + 
       (53*t[13])/16 - (353*t[14])/32 - (443*t[15])/96 - 6*t[28] - 6*t[31] + 
       6*t[35] + 10*t[36] + (9*t[37])/4 - 6*t[39] + 6*t[40] - 6*t[45] - 
       (31*t[46])/4 + 12*t[47] - (3*t[48])/8 - (53*t[49])/16 + (23*t[50])/8 + 
       (73*t[51])/32 - (23*t[52])/8 + (53*t[53])/16 - (11*t[54])/2 + 
       (13*t[59])/8 - (55*t[60])/8 - (149*t[61])/8 - (615*t[62])/16 + 
       (163*t[63])/16 + (1289*t[64])/16 + (113*t[65])/6 + (103*t[66])/4 - 
       6*t[74] - 8*t[75] - 6*t[77] - 6*t[78] + 4*t[79] + 12*t[80] - 
       (31*t[81])/4 + (31*t[82])/4 + 10*t[83] - 2*t[84] + t[85]/8 + 
       76*t[86] + (209*t[87])/8 + (215*t[88])/16 - (55*t[89])/16 + 12*t[99] - 
       (93*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-11*t[2])/8 + (69*t[3])/4 - (43*t[4])/2 - (39*t[5])/16 - 
       (81*t[6])/16 + (239*t[7])/8 + (299*t[8])/8 - (43*t[9])/16 - 18*t[10] - 
       (85*t[11])/16 + (93*t[12])/16 - (697*t[13])/48 - (329*t[14])/16 - 
       (965*t[15])/96 - 8*t[28] + 6*t[29] - (3*t[30])/2 + 6*t[32] - 6*t[33] + 
       3*t[34] + 6*t[35] + 6*t[36] + 3*t[43] + (39*t[44])/4 - (25*t[48])/16 - 
       (25*t[49])/8 + (7*t[50])/16 + (25*t[51])/16 - (7*t[52])/16 + 
       (25*t[53])/8 + (45*t[54])/16 + (13*t[59])/8 - (55*t[60])/8 - 
       (149*t[61])/8 - (615*t[62])/16 + (163*t[63])/16 + (1289*t[64])/16 + 
       (113*t[65])/6 + (103*t[66])/4 - 6*t[74] - 8*t[75] - 6*t[77] - 
       6*t[78] + 4*t[79] + 12*t[80] - (31*t[81])/4 + (31*t[82])/4 + 
       10*t[83] - 2*t[84] + t[85]/8 + 76*t[86] + (209*t[87])/8 + 
       (215*t[88])/16 - (55*t[89])/16 + 12*t[99] - (93*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-7*t[1])/2 + (23*t[2])/2 - 18*t[3] - 18*t[4] - (15*t[5])/4 + 
       (215*t[6])/4 + (23*t[7])/2 + (125*t[8])/2 + (97*t[9])/4 - 
       (59*t[10])/4 + (35*t[11])/4 + (73*t[12])/2 - (145*t[13])/72 - 
       t[14]/8 + (5*t[15])/24 + 9*t[26] + 2*t[27] + 13*t[28] + 10*t[29] - 
       16*t[30] - 14*t[31] - 3*t[32] + 3*t[33] - t[34] - 15*t[35] - 3*t[36] + 
       6*t[37] - 7*t[38] + 3*t[39] - 6*t[40] + t[41]/2 - t[42]/2 - 
       (5*t[43])/2 + 7*t[44] + 43*t[48] - (85*t[49])/4 + (17*t[50])/2 + 
       (37*t[51])/8 + (17*t[52])/2 + (69*t[53])/4 + 19*t[54] + 3*t[58] + 
       (7*t[59])/2 - (21*t[60])/4 - (9*t[61])/4 + (71*t[62])/4 - 
       (467*t[63])/4 - (7*t[64])/8 + (184*t[65])/3 - (193*t[66])/6 + 
       4*t[72] + 24*t[73] + 3*t[74] - 16*t[75] - 29*t[76] + t[77] + 
       25*t[78] + 5*t[79] - 16*t[80] - 10*t[81] + 2*t[82] - 71*t[83] + 
       (141*t[84])/4 - (69*t[85])/4 - 11*t[86] + (123*t[87])/4 + 
       (123*t[88])/8 + (167*t[89])/8 - 6*t[96] - 7*t[97] - 192*t[98] + 
       198*t[99] - (93*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 
       1 - v]*(24*t[1] + 3*t[2] - 13*t[3] + 74*t[4] - (13*t[5])/2 + 
       (33*t[6])/4 + 17*t[7] + 43*t[8] + (29*t[9])/2 - 92*t[10] + 
       (65*t[11])/4 - 98*t[12] - (185*t[13])/9 + (85*t[14])/3 - 
       (55*t[15])/4 + 4*t[16] - 18*t[25] - 34*t[26] + 4*t[27] - 4*t[28] + 
       16*t[35] + 4*t[36] + 24*t[38] - 6*t[39] - 24*t[40] - 16*t[45] + 
       33*t[46] + 32*t[47] + (41*t[48])/4 + 21*t[49] - (47*t[50])/4 - 
       (121*t[51])/4 + (47*t[52])/4 - 41*t[53] - (65*t[54])/4 - 12*t[59] + 
       (211*t[60])/2 + 56*t[61] - (159*t[62])/4 - (941*t[63])/4 - 137*t[64] + 
       18*t[65] + (8*t[66])/3 - 2*t[68] + 8*t[72] + 8*t[73] + 4*t[74] - 
       44*t[75] - 8*t[76] + 24*t[77] + 8*t[78] - 20*t[79] + 32*t[80] + 
       5*t[81] - 9*t[82] - 2*t[83] + 17*t[84] + (65*t[85])/2 + 56*t[86] - 
       (125*t[87])/2 - (125*t[88])/4 + 25*t[89] + t[91]/3 - 2*t[93] + 
       120*t[98] - 144*t[99] - 46*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*((159*t[2])/2 + 19*t[3] - 21*t[4] + 
       (159*t[5])/4 - (15*t[6])/2 + 128*t[7] - 157*t[8] + (331*t[9])/4 - 
       (61*t[10])/2 + 31*t[11] + (217*t[12])/4 + (121*t[13])/9 + 
       (415*t[14])/6 - (169*t[15])/8 - t[17] - 20*t[20] - 24*t[24] + 
       14*t[28] - 10*t[32] - 4*t[33] + 4*t[39] + 8*t[43] + 16*t[44] - 
       56*t[45] + 64*t[47] - (77*t[48])/2 - (29*t[49])/2 + (31*t[50])/2 + 
       (29*t[51])/4 - (31*t[52])/2 + (29*t[53])/2 - (29*t[54])/2 - 2*t[55] - 
       12*t[59] + (211*t[60])/2 + 56*t[61] - (159*t[62])/4 - (941*t[63])/4 - 
       137*t[64] + 18*t[65] + (8*t[66])/3 - 2*t[68] + 8*t[72] + 8*t[73] + 
       4*t[74] - 44*t[75] - 8*t[76] + 24*t[77] + 8*t[78] - 20*t[79] + 
       32*t[80] + 5*t[81] - 9*t[82] - 2*t[83] + 17*t[84] + (65*t[85])/2 + 
       56*t[86] - (125*t[87])/2 - (125*t[88])/4 + 25*t[89] + t[91]/3 - 
       2*t[93] + 120*t[98] - 144*t[99] - 46*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (t[1]/6 - (4*t[2])/3 - (77*t[3])/8 - (2*t[4])/3 - (181*t[5])/24 + 
       (631*t[6])/24 - (127*t[7])/4 + (571*t[8])/6 - (203*t[9])/8 - t[10]/2 - 
       (665*t[11])/24 - (17*t[12])/24 - (217*t[13])/108 + (383*t[14])/72 + 
       (841*t[15])/216 + (2*t[23])/3 - (53*t[28])/3 - t[29]/3 + 
       (13*t[30])/6 - 10*t[31] - (4*t[32])/3 + t[33]/6 - 20*t[35] + 
       (2*t[39])/3 + t[41]/6 - t[42]/6 - (3*t[44])/2 - (4*t[45])/3 + 
       (4*t[47])/3 + (461*t[48])/24 - t[49]/4 - (371*t[50])/24 + t[51]/8 + 
       (347*t[52])/24 + t[53]/4 + (199*t[54])/8 - (79*t[60])/3 + 
       (133*t[61])/12 + (319*t[62])/12 + (31*t[63])/4 + (809*t[64])/24 + 
       (1117*t[65])/36 + (1843*t[66])/36 - (2*t[70])/3 + (2*t[71])/3 - 
       10*t[72] - 6*t[73] + t[74]/3 - 27*t[75] + (4*t[76])/3 + t[77]/3 - 
       t[78]/2 + 11*t[79] + (7*t[80])/3 + (5*t[81])/6 - t[82]/3 + 
       (50*t[83])/3 + (3*t[84])/2 + t[85]/2 - (29*t[86])/3 + (391*t[87])/12 + 
       (143*t[88])/8 + (229*t[89])/8 - (2*t[95])/3 - t[96]/3 + t[97]/3 + 
       8*t[98] - 8*t[99] - 46*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-17*t[1])/3 + (55*t[2])/12 + 2*t[3] + 
       (509*t[4])/24 - (215*t[5])/8 - (65*t[6])/8 + (15*t[7])/2 - 
       (163*t[8])/6 + (881*t[9])/24 + (1135*t[10])/48 + (43*t[11])/8 + 
       (365*t[12])/48 + (1499*t[13])/216 + (163*t[14])/32 - (95*t[15])/18 + 
       3*t[25] + (8*t[27])/3 - (22*t[28])/3 - (8*t[29])/3 + (17*t[30])/3 + 
       (19*t[31])/3 + (8*t[34])/3 - 4*t[35] - 3*t[36] - (13*t[38])/3 + 
       2*t[39] - 5*t[40] - (4*t[41])/3 + (4*t[42])/3 - (13*t[43])/3 + 
       (5*t[44])/3 + 6*t[45] - t[46]/2 - 12*t[47] - (391*t[48])/24 - 
       (225*t[49])/16 + (449*t[50])/24 + (195*t[51])/32 - (385*t[52])/24 + 
       (563*t[53])/48 - (49*t[54])/12 + t[59]/6 + (441*t[60])/8 - 
       (401*t[61])/8 + (709*t[62])/48 + (955*t[63])/48 - (5431*t[64])/48 - 
       (349*t[65])/72 - (1427*t[66])/72 + (16*t[72])/3 - 4*t[73] - 16*t[75] - 
       (47*t[76])/3 + (10*t[77])/3 + (121*t[78])/3 + 10*t[79] - 
       (88*t[80])/3 + (28*t[81])/3 + 5*t[82] + 27*t[83] + (695*t[84])/24 + 
       (271*t[85])/24 - (34*t[86])/3 - (191*t[87])/24 - (167*t[88])/48 - 
       (503*t[89])/48 - 8*t[96] - (16*t[97])/3 - 118*t[98] + 130*t[99] - 
       46*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((-8*t[1])/3 - (31*t[2])/6 + (115*t[3])/24 + 
       (5*t[4])/4 - (179*t[5])/24 - (85*t[6])/48 - (79*t[7])/12 - 
       (239*t[8])/4 + (83*t[9])/3 + (793*t[10])/24 - (2063*t[11])/48 - 
       (13*t[12])/3 - (79*t[13])/54 + (1261*t[14])/72 - (4079*t[15])/432 - 
       (8*t[27])/3 + t[28] - (38*t[29])/3 - 4*t[30] + (10*t[31])/3 - 
       (8*t[32])/3 + (8*t[33])/3 + (8*t[34])/3 + 4*t[35] - 6*t[36] - 
       (4*t[38])/3 + t[39]/6 - (19*t[40])/4 - (4*t[41])/3 + (4*t[42])/3 - 
       (13*t[43])/3 + (247*t[44])/12 + 6*t[45] - t[46] - (44*t[47])/3 - 
       (157*t[48])/16 + (43*t[49])/24 + (397*t[50])/48 - (59*t[51])/48 - 
       (269*t[52])/48 - (57*t[53])/8 + (17*t[54])/16 + t[59]/6 + 
       (441*t[60])/8 - (401*t[61])/8 + (709*t[62])/48 + (955*t[63])/48 - 
       (5431*t[64])/48 - (349*t[65])/72 - (1427*t[66])/72 + (16*t[72])/3 - 
       4*t[73] - 16*t[75] - (47*t[76])/3 + (10*t[77])/3 + (121*t[78])/3 + 
       10*t[79] - (88*t[80])/3 + (28*t[81])/3 + 5*t[82] + 27*t[83] + 
       (695*t[84])/24 + (271*t[85])/24 - (34*t[86])/3 - (191*t[87])/24 - 
       (167*t[88])/48 - (503*t[89])/48 - 8*t[96] - (16*t[97])/3 - 118*t[98] + 
       130*t[99] - 46*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*(-3*t[1] + (52*t[2])/3 - 
       (3751*t[3])/72 + (137*t[4])/3 - (3113*t[5])/144 + (5471*t[6])/144 - 
       (487*t[7])/72 + (3221*t[8])/72 + (615*t[9])/16 + (85*t[10])/72 + 
       (1727*t[11])/144 - (1255*t[12])/144 + (1421*t[13])/54 + 
       (13459*t[14])/216 + (18119*t[15])/864 + t[20] - t[22] - 2*t[23] + 
       (4*t[27])/3 + (191*t[28])/18 - (13*t[29])/9 + (37*t[30])/9 + 
       (4*t[31])/3 - (65*t[32])/6 + (28*t[33])/3 + (23*t[34])/3 - 
       (59*t[35])/3 - 6*t[36] - (5*t[37])/3 - (5*t[38])/2 - (8*t[39])/3 - 
       (23*t[40])/6 - (8*t[41])/3 + (8*t[42])/3 - 4*t[43] - (59*t[44])/9 + 
       (7*t[45])/6 + t[46]/2 - (25*t[47])/6 + (251*t[48])/48 - (5*t[49])/4 + 
       (481*t[50])/144 - (23*t[51])/12 + (527*t[52])/144 - (25*t[53])/12 + 
       (3503*t[54])/144 - t[59]/2 + (6473*t[60])/72 + (3811*t[61])/72 + 
       (10439*t[62])/144 + (13*t[63])/16 - (20377*t[64])/144 - 
       (13925*t[65])/216 - (3001*t[66])/72 - t[67]/6 + t[72]/3 - 
       (31*t[73])/6 + (40*t[74])/3 + (5*t[75])/6 - (26*t[76])/3 + 
       (11*t[77])/3 + (76*t[78])/3 + (43*t[79])/6 - (61*t[80])/3 + 
       (61*t[81])/6 - 4*t[82] - (347*t[83])/18 + (2753*t[84])/72 + 
       (1343*t[85])/72 - (1807*t[86])/18 - (1475*t[87])/24 - 
       (1675*t[88])/48 + (841*t[89])/144 - (4*t[95])/3 - (7*t[96])/3 - 
       (10*t[97])/3 - 40*t[98] + 44*t[99] - (275*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((7*t[1])/2 + (10*t[2])/3 + (6191*t[3])/288 + (1231*t[4])/36 + 
       (13543*t[5])/288 - (27701*t[6])/1152 - (549*t[7])/32 - 
       (23107*t[8])/288 - (24625*t[9])/576 + (767*t[10])/72 + 
       (99869*t[11])/1152 + (1051*t[12])/72 + (54739*t[13])/864 - 
       (39529*t[14])/1152 - (17243*t[15])/3456 + 2*t[19] - (11*t[20])/9 - 
       2*t[21] + (11*t[24])/6 - t[25] + t[27]/2 + (373*t[28])/18 - 
       (253*t[29])/24 - (383*t[30])/72 - t[31]/6 - (43*t[32])/4 + 
       (173*t[33])/18 - (7*t[34])/2 - (37*t[35])/3 - t[36]/4 - (31*t[37])/6 + 
       (5*t[38])/4 + (109*t[39])/8 - (317*t[40])/24 + (7*t[41])/4 - 
       (3*t[42])/4 + (3*t[43])/4 + (3599*t[44])/144 - 3*t[45] - t[46]/8 + 
       (7*t[47])/2 - (23743*t[48])/1152 + (167*t[49])/18 - 
       (26335*t[50])/1152 - (1549*t[51])/288 + (28063*t[52])/1152 - 
       (53*t[53])/18 - (4885*t[54])/128 - (5*t[59])/4 - (8279*t[60])/576 + 
       (6967*t[61])/192 - (17011*t[62])/1152 - (89261*t[63])/1152 + 
       (21397*t[64])/1152 - (5107*t[65])/192 - (110923*t[66])/576 - t[69]/6 - 
       2*t[70] + 2*t[71] - (19*t[72])/6 + (233*t[73])/12 - (13*t[74])/3 + 
       (301*t[75])/12 + 36*t[76] + (25*t[77])/3 - (277*t[78])/6 + 
       (5*t[79])/2 + (49*t[80])/3 + (73*t[81])/6 - (71*t[82])/8 - 
       (584*t[83])/9 - (1119*t[84])/64 - (5075*t[85])/576 - (1385*t[86])/18 - 
       (13631*t[87])/576 - (26495*t[88])/1152 - (25573*t[89])/1152 + 
       7*t[95] + (29*t[96])/2 + (11*t[97])/2 + 179*t[98] - 167*t[99] - 
       (515*t[100])/12) + HPL[{1}, 1 - v]^2*Qep[u, w, v]*
      ((-64*t[3])/9 + (32*t[4])/9 - (140*t[5])/9 + (14*t[6])/3 + 12*t[7] + 
       (236*t[8])/9 + (68*t[9])/3 + (4*t[10])/9 + (106*t[11])/9 - 48*t[12] + 
       (620*t[13])/27 + (382*t[14])/9 - (70*t[15])/9 + (128*t[25])/9 - 
       (128*t[26])/9 - (32*t[37])/3 - (64*t[46])/9 + (14*t[48])/3 + 
       (128*t[49])/9 - (86*t[50])/9 - (32*t[51])/9 + (86*t[52])/9 - 
       (128*t[53])/9 + (34*t[54])/3 - (32*t[59])/3 + (76*t[60])/9 + 
       124*t[61] - (506*t[62])/9 + (242*t[63])/9 + (122*t[64])/9 - 
       (1160*t[66])/9 - (64*t[69])/3 + (32*t[70])/3 - (32*t[71])/3 - 
       16*t[73] + (16*t[74])/3 - (80*t[75])/3 + (16*t[79])/3 + 8*t[81] - 
       8*t[82] + (352*t[83])/9 + (16*t[84])/3 + (28*t[85])/9 + 
       (176*t[86])/9 + (52*t[87])/9 + (26*t[88])/9 - (98*t[89])/9 - 
       (128*t[100])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((-499*t[1])/72 + (391*t[2])/36 + (259*t[3])/96 - 
       (2729*t[4])/144 - (699*t[5])/64 + (193*t[6])/96 + (2861*t[7])/96 - 
       (6955*t[8])/288 + (11479*t[9])/576 - (11857*t[10])/288 + 
       (3181*t[11])/96 + (8483*t[12])/576 - (10847*t[13])/5184 - 
       (59*t[14])/36 + (5083*t[15])/3456 + t[16]/4 + t[25] + (7*t[26])/4 - 
       (59*t[27])/18 - (85*t[28])/9 - (61*t[29])/72 + (49*t[30])/18 - 
       (92*t[31])/9 - (3*t[32])/2 + (3*t[33])/2 + (83*t[34])/36 - 5*t[35] + 
       (31*t[36])/6 + (7*t[37])/6 - (247*t[38])/36 - (199*t[39])/24 + 
       (65*t[40])/24 - (83*t[41])/72 + (83*t[42])/72 - (127*t[43])/144 - 
       (41*t[44])/18 + (77*t[45])/16 + (25*t[46])/12 - (89*t[47])/8 - 
       (211*t[48])/18 - (233*t[49])/12 + (4399*t[50])/144 + (451*t[51])/192 - 
       (3275*t[52])/144 + (311*t[53])/36 - (487*t[54])/36 + (13*t[58])/12 + 
       (103*t[59])/72 - (21*t[60])/2 - (1093*t[61])/48 - (1979*t[62])/144 + 
       (1537*t[63])/144 - (5855*t[64])/288 + (10843*t[65])/432 + 
       (8435*t[66])/432 + t[68] - t[69] + t[70] - t[71] + (55*t[72])/9 - 
       (28*t[73])/3 - 4*t[74] - (40*t[75])/3 - (371*t[76])/9 - 
       (110*t[77])/9 + (1339*t[78])/36 + (59*t[79])/6 - (331*t[80])/36 - 
       (35*t[81])/36 + (35*t[82])/4 + (217*t[83])/6 + (997*t[84])/36 + 
       (29*t[85])/9 + (4921*t[86])/72 + (2657*t[87])/144 + (4529*t[88])/288 - 
       (3287*t[89])/144 + t[91]/24 - t[93]/2 - 3*t[95] - (67*t[96])/6 - 
       (265*t[97])/36 - (604*t[98])/3 + (649*t[99])/3 - (247*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-t[1] - t[2]/2 + t[3]/12 - (79*t[4])/6 + t[5] - (13*t[6])/24 + 
       (19*t[7])/6 + (10*t[8])/3 - t[9]/2 - (581*t[10])/24 + (23*t[11])/24 + 
       (115*t[12])/24 + (3529*t[13])/216 - (443*t[14])/16 + (313*t[15])/36 + 
       (4*t[25])/3 - t[26]/3 + (2*t[36])/3 - (8*t[37])/3 - t[38] - 
       (5*t[46])/3 + t[48]/8 - (211*t[49])/24 - (29*t[50])/24 + 
       (355*t[51])/48 + (13*t[52])/24 + (199*t[53])/24 - (31*t[54])/8 - 
       13*t[60] + (11*t[61])/4 + (83*t[62])/4 - (159*t[63])/4 + 
       (343*t[64])/8 + (499*t[65])/12 + (1303*t[66])/36 + 10*t[69] - 
       (2*t[70])/3 + (2*t[71])/3 + 4*t[73] + t[74]/3 - 17*t[75] + 
       (4*t[76])/3 + t[77]/3 - t[78]/2 + t[79] + (7*t[80])/3 + (5*t[81])/6 - 
       t[82]/3 + (85*t[83])/3 + (29*t[84])/6 + (23*t[85])/6 + (41*t[86])/3 + 
       (151*t[87])/12 + (63*t[88])/8 + (707*t[89])/24 - (2*t[95])/3 - 
       t[96]/3 + t[97]/3 + 8*t[98] - 8*t[99] - 41*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((293*t[1])/72 - (319*t[2])/72 - (29*t[3])/6 - (5309*t[4])/576 + 
       (209*t[5])/12 + (19*t[6])/16 - (73*t[7])/24 + (383*t[8])/18 + 
       (839*t[9])/72 + (4889*t[10])/1152 + (1795*t[11])/48 + 
       (64717*t[12])/1152 + (161191*t[13])/5184 + (45053*t[14])/2304 - 
       (31979*t[15])/3456 - t[16] - (13*t[19])/6 + 2*t[20] + 2*t[21] - 
       t[22] - 2*t[23] - (25*t[25])/6 + (5*t[26])/4 - (11*t[27])/18 + 
       (38*t[28])/9 + (11*t[29])/18 - (73*t[30])/36 - (19*t[31])/18 + t[32] - 
       t[33] - (73*t[34])/36 - (14*t[35])/3 - t[36]/12 + (15*t[37])/2 + 
       (131*t[38])/36 + (113*t[39])/12 - (35*t[40])/6 + (109*t[41])/72 - 
       (109*t[42])/72 - (7*t[43])/36 - (10*t[44])/9 - t[45] + (43*t[46])/12 + 
       3*t[47] + (415*t[48])/36 - (1725*t[49])/128 - (1007*t[50])/36 + 
       (7603*t[51])/768 + (202*t[52])/9 + (31045*t[53])/1152 + 
       (15545*t[54])/576 - (7*t[58])/12 + (43*t[59])/72 - (2503*t[60])/192 + 
       (1823*t[61])/64 - (17257*t[62])/1152 - (83575*t[63])/1152 + 
       (16255*t[64])/1152 - (49121*t[65])/1728 - (317491*t[66])/1728 + 
       (11*t[69])/3 - (23*t[70])/6 + (23*t[71])/6 - (29*t[72])/9 + 
       (87*t[73])/4 - (37*t[74])/6 + (107*t[75])/4 + (1339*t[76])/36 + 
       (155*t[77])/18 - (853*t[78])/18 + t[79]/2 + (295*t[80])/18 + 
       (421*t[81])/36 - (197*t[82])/24 - (389*t[83])/6 - (10469*t[84])/576 - 
       (3961*t[85])/576 - (1331*t[86])/18 - (15061*t[87])/576 - 
       (27925*t[88])/1152 - (25231*t[89])/1152 + 7*t[95] + (89*t[96])/6 + 
       (209*t[97])/36 + (560*t[98])/3 - (524*t[99])/3 - (485*t[100])/12) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((15*t[1])/4 - (3*t[2])/4 + (13*t[3])/48 + (233*t[4])/24 + 
       (1207*t[5])/96 - t[6]/8 + 3*t[7] - (77*t[8])/12 - (383*t[9])/32 - 
       (335*t[10])/24 - (5*t[11])/24 - (337*t[12])/32 + (2903*t[13])/288 - 
       (2809*t[14])/96 + (5507*t[15])/576 + t[16] - t[22]/2 - (11*t[25])/3 - 
       t[26]/3 - 2*t[35] + 4*t[38] + (13*t[43])/16 + t[45]/8 - (19*t[46])/6 - 
       t[47]/4 - (29*t[48])/16 + (35*t[49])/24 + (305*t[50])/48 + 
       (281*t[51])/48 - (329*t[52])/48 - (83*t[53])/24 - (143*t[54])/16 - 
       (7*t[59])/4 + (313*t[60])/24 - (379*t[61])/8 + (1445*t[62])/48 - 
       (2369*t[63])/48 - (551*t[64])/48 + (249*t[65])/8 + (341*t[66])/8 - 
       (15*t[73])/2 + t[74]/2 + 36*t[75] - t[77]/2 + t[79]/2 + 3*t[80] - 
       (17*t[81])/4 + (17*t[82])/4 - (73*t[83])/3 + t[84]/4 - (47*t[85])/24 + 
       (71*t[86])/6 - (401*t[87])/24 - (689*t[88])/48 + (671*t[89])/48 + 
       12*t[98] - 4*t[99] - (161*t[100])/4) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*(-t[1] + (53*t[2])/8 - (265*t[3])/48 - 
       (179*t[4])/24 - (1087*t[5])/96 + (71*t[6])/6 - (159*t[7])/8 + 
       (1033*t[8])/24 + (581*t[9])/96 - (67*t[10])/48 - (1291*t[11])/48 + 
       (545*t[12])/96 - (1879*t[13])/144 + (11*t[14])/8 - (7675*t[15])/576 + 
       (13*t[20])/6 - t[22] + t[25] + (19*t[28])/3 + (7*t[29])/2 - 
       (11*t[30])/3 - t[32]/2 - (5*t[33])/6 + 9*t[35] - t[38] - t[41]/4 + 
       t[42]/4 - (5*t[43])/16 - (85*t[44])/6 - (9*t[45])/8 + (15*t[47])/4 + 
       (409*t[48])/24 - (103*t[49])/48 - (383*t[50])/24 + (103*t[51])/96 + 
       (383*t[52])/24 + (103*t[53])/48 + (81*t[54])/4 - (7*t[59])/4 + 
       (313*t[60])/24 - (379*t[61])/8 + (1445*t[62])/48 - (2369*t[63])/48 - 
       (551*t[64])/48 + (249*t[65])/8 + (341*t[66])/8 - (15*t[73])/2 + 
       t[74]/2 + 36*t[75] - t[77]/2 + t[79]/2 + 3*t[80] - (17*t[81])/4 + 
       (17*t[82])/4 - (73*t[83])/3 + t[84]/4 - (47*t[85])/24 + (71*t[86])/6 - 
       (401*t[87])/24 - (689*t[88])/48 + (671*t[89])/48 + 12*t[98] - 
       4*t[99] - (161*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(-56*t[3] + 235*t[4] - 14*t[5] - 65*t[6] + 
       84*t[7] - 86*t[8] + 115*t[9] - (267*t[10])/2 + 181*t[11] - 
       (223*t[12])/2 + 120*t[13] - (1289*t[14])/6 + (307*t[15])/6 + 
       (14*t[19])/3 + 16*t[35] - 18*t[37] - 42*t[48] + (239*t[49])/2 + 
       42*t[50] - 29*t[51] - 42*t[52] - (235*t[53])/2 - 236*t[54] + 
       290*t[60] - 99*t[61] + 290*t[62] - 350*t[63] - (245*t[64])/2 + 
       (200*t[65])/3 + (562*t[66])/3 + 8*t[69] - 68*t[75] - 38*t[76] + 
       54*t[78] - 24*t[79] + 78*t[81] + 88*t[83] + 47*t[84] + 99*t[85] + 
       56*t[86] + 11*t[87] + (11*t[88])/2 + 303*t[89] - 40*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      ((-367*t[3])/2 - 251*t[5] + 391*t[6] - 267*t[7] + 910*t[8] + 165*t[9] - 
       14*t[10] - 355*t[11] + 42*t[12] + (523*t[14])/3 - (2333*t[15])/36 + 
       4*t[16] + 56*t[29] + 4*t[30] + 8*t[34] - 24*t[36] - 25*t[39] + 
       23*t[40] - 129*t[44] + 196*t[48] - 205*t[50] + 205*t[52] + 369*t[54] + 
       290*t[60] - 99*t[61] + 290*t[62] - 350*t[63] - (245*t[64])/2 + 
       (200*t[65])/3 + (562*t[66])/3 + 8*t[69] - 68*t[75] - 38*t[76] + 
       54*t[78] - 24*t[79] + 78*t[81] + 88*t[83] + 47*t[84] + 99*t[85] + 
       56*t[86] + 11*t[87] + (11*t[88])/2 + 303*t[89] - 40*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((19*t[1])/3 + (7*t[2])/6 + (69*t[3])/4 - (229*t[4])/12 - (7*t[5])/4 - 
       (731*t[6])/48 + (139*t[7])/6 - (55*t[8])/2 + (129*t[9])/8 - 
       (827*t[10])/24 + (25*t[11])/16 - (379*t[12])/24 - (47*t[13])/216 - 
       (277*t[14])/18 - (5971*t[15])/432 - (4*t[25])/3 - (19*t[26])/3 - 
       (4*t[27])/3 - 6*t[28] - (5*t[29])/6 - t[30] + (2*t[31])/3 + 
       (8*t[32])/3 - (8*t[33])/3 + (4*t[34])/3 + 8*t[35] - (7*t[36])/3 - 
       2*t[37] + 7*t[38] - (19*t[39])/6 + 2*t[40] - (2*t[41])/3 + 
       (2*t[42])/3 + (4*t[43])/3 + (79*t[44])/6 - (20*t[46])/3 - 
       (4*t[47])/3 - (131*t[48])/16 - (33*t[49])/8 + (109*t[50])/16 + 
       (451*t[51])/48 - (263*t[52])/48 + (31*t[53])/24 - (69*t[54])/16 - 
       (11*t[59])/2 + (315*t[60])/8 - (733*t[61])/24 - (125*t[62])/16 - 
       (617*t[63])/48 - (499*t[64])/16 - (641*t[65])/72 - (2099*t[66])/72 - 
       4*t[69] + (2*t[72])/3 - 6*t[73] + (7*t[74])/3 - 4*t[75] - 
       (22*t[76])/3 - (22*t[77])/3 + (20*t[78])/3 + 4*t[79] + (34*t[80])/3 - 
       (53*t[81])/6 + (21*t[82])/2 - 4*t[83] + (331*t[84])/24 + 
       (325*t[85])/24 + (160*t[86])/3 - (29*t[87])/8 - (455*t[88])/48 - 
       (1051*t[89])/48 - (2*t[95])/3 - 4*t[96] - (8*t[97])/3 - 44*t[98] + 
       68*t[99] - 39*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((-11*t[1])/4 + (3*t[2])/2 - (319*t[3])/48 + 
       (5*t[4])/12 - (1861*t[5])/96 + (85*t[6])/16 + (153*t[7])/16 + 
       (533*t[8])/48 + (659*t[9])/32 + (91*t[10])/48 + (589*t[11])/48 + 
       (259*t[12])/32 - (1075*t[13])/288 + (3523*t[14])/96 - 
       (2867*t[15])/576 - t[16]/2 + t[22] + (25*t[25])/6 - (7*t[26])/6 - 
       2*t[27] + t[32] - t[33] + 4*t[34] + 4*t[35] + 2*t[36] - 4*t[38] + 
       t[39] - (5*t[40])/2 - t[41]/2 + t[42]/2 + (3*t[43])/2 - t[45]/4 - 
       t[46]/12 - 3*t[47] - t[48]/4 + (61*t[49])/24 - (23*t[50])/12 - 
       (73*t[51])/24 + (59*t[52])/12 - (37*t[53])/24 + (7*t[54])/2 + 
       (3*t[59])/2 + (40*t[60])/3 + (409*t[61])/8 - (1699*t[62])/24 + 
       (23*t[63])/12 + (1025*t[64])/48 - (559*t[65])/24 - (1979*t[66])/24 - 
       t[69]/2 + 2*t[72] + (19*t[73])/2 + t[74]/2 - (51*t[75])/2 + 
       (7*t[76])/2 - t[77]/2 - (11*t[79])/2 + 7*t[80] + (13*t[81])/2 - 
       11*t[82] + (259*t[83])/12 + (25*t[84])/4 + (97*t[85])/12 + 
       (199*t[86])/6 - (71*t[87])/12 + t[88]/24 - (959*t[89])/48 + t[97]/2 + 
       12*t[98] - 12*t[99] - (155*t[100])/4) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*(-t[1]/4 - (23*t[2])/4 - 
       (245*t[3])/48 + (31*t[4])/3 - (1229*t[5])/96 - (395*t[6])/24 + 
       (349*t[7])/16 - (2411*t[8])/48 + (2533*t[9])/96 + (43*t[10])/12 + 
       (2047*t[11])/48 + (223*t[12])/96 + (527*t[13])/24 + (61*t[14])/16 + 
       (271*t[15])/192 - (8*t[20])/3 + t[22] - t[25] - t[26]/2 - 
       (16*t[28])/3 + (3*t[29])/2 - (16*t[30])/3 + t[32]/2 + (4*t[33])/3 + 
       t[34]/2 - 3*t[35] + t[38] - t[39] + 2*t[40] + t[41]/2 - t[42]/2 - 
       2*t[43] + (79*t[44])/6 - (13*t[45])/2 + t[46] + 12*t[47] - 
       (421*t[48])/24 + (109*t[49])/48 + (347*t[50])/24 + (11*t[51])/96 - 
       (407*t[52])/24 - (109*t[53])/48 - (41*t[54])/2 - t[58]/2 + 
       (3*t[59])/2 + (40*t[60])/3 + (409*t[61])/8 - (1699*t[62])/24 + 
       (23*t[63])/12 + (1025*t[64])/48 - (559*t[65])/24 - (1979*t[66])/24 - 
       t[69]/2 + 2*t[72] + (19*t[73])/2 + t[74]/2 - (51*t[75])/2 + 
       (7*t[76])/2 - t[77]/2 - (11*t[79])/2 + 7*t[80] + (13*t[81])/2 - 
       11*t[82] + (259*t[83])/12 + (25*t[84])/4 + (97*t[85])/12 + 
       (199*t[86])/6 - (71*t[87])/12 + t[88]/24 - (959*t[89])/48 + t[97]/2 + 
       12*t[98] - 12*t[99] - (155*t[100])/4) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*((-9*t[1])/4 - (141*t[2])/32 - 
       (287*t[3])/72 - (107*t[4])/72 - (5*t[5])/144 - (4123*t[6])/288 + 
       (295*t[7])/96 - (2057*t[8])/288 + (1133*t[9])/288 + (1405*t[10])/72 + 
       (949*t[11])/288 - (145*t[12])/72 + (2053*t[13])/864 + 
       (1495*t[14])/96 + (10991*t[15])/1728 + t[16]/2 - (31*t[20])/36 - 
       (5*t[24])/12 + (16*t[25])/3 - (10*t[26])/3 + t[27] + (55*t[28])/36 + 
       t[29]/6 + (4*t[30])/9 + (23*t[31])/6 + t[32]/2 - (13*t[33])/36 - 
       t[34]/2 + (11*t[35])/4 - (5*t[36])/2 - 2*t[37] - (5*t[38])/2 + 
       (7*t[39])/4 - t[40]/4 - t[41]/4 + t[42]/4 + (59*t[43])/24 - 
       (23*t[44])/36 + (33*t[45])/8 - (31*t[46])/24 - (35*t[47])/4 - 
       (755*t[48])/288 + (85*t[49])/288 + (73*t[50])/288 + (205*t[51])/288 - 
       (793*t[52])/288 - (265*t[53])/288 - (61*t[54])/32 - t[58]/2 + 
       2*t[59] + (3203*t[60])/144 + (2057*t[61])/48 - (10349*t[62])/288 + 
       (2429*t[63])/288 + (1271*t[64])/288 - (3091*t[65])/144 - 
       (3859*t[66])/72 - t[68]/2 + 4*t[69] - t[70] + t[71] + (13*t[72])/2 - 
       (67*t[73])/12 + (25*t[74])/24 - (7*t[75])/4 - (13*t[77])/8 + 
       (3*t[78])/2 - (37*t[79])/12 + 9*t[80] + (25*t[81])/6 + (5*t[82])/4 + 
       (145*t[83])/18 + (145*t[84])/24 - (227*t[85])/72 + (565*t[86])/36 - 
       (1625*t[87])/72 - (1625*t[88])/144 - (5735*t[89])/288 + t[93]/2 - 
       t[95]/2 + t[97]/2 + 2*t[98] - (7*t[99])/2 - (463*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((29*t[1])/6 - (43*t[2])/6 + (28*t[3])/3 + (77*t[4])/24 + (46*t[5])/3 - 
       (65*t[6])/6 + (11*t[7])/6 - (53*t[8])/6 - (23*t[9])/3 + 
       (51*t[10])/16 + (107*t[11])/12 - (71*t[12])/48 - (13*t[13])/216 + 
       (1177*t[14])/288 - (107*t[15])/144 - 2*t[25] - 3*t[26] + (2*t[27])/3 - 
       6*t[28] + 3*t[29] - 4*t[30] + (22*t[31])/3 - (4*t[34])/3 + 9*t[35] + 
       t[36] - 2*t[37] + (31*t[38])/6 - (3*t[39])/2 + 3*t[40] + (2*t[41])/3 - 
       (2*t[42])/3 + (5*t[43])/3 - 7*t[44] + 2*t[45] - 2*t[46] - 4*t[47] - 
       (8*t[48])/3 + (133*t[49])/16 - (49*t[50])/3 - (39*t[51])/32 + 
       9*t[52] - (103*t[53])/48 + (71*t[54])/24 - t[58] - (4*t[59])/3 + 
       (29*t[60])/24 + (487*t[61])/24 - (203*t[62])/16 + (1009*t[63])/48 - 
       (2057*t[64])/48 - (283*t[65])/8 - (1553*t[66])/72 - 2*t[69] - 
       (11*t[72])/3 - 14*t[73] + 39*t[75] + (40*t[76])/3 + (4*t[77])/3 - 
       (47*t[78])/3 + 8*t[79] + (11*t[80])/3 - (31*t[81])/6 + (17*t[82])/2 - 
       (49*t[83])/3 - (479*t[84])/24 - (19*t[85])/8 - 16*t[86] - 
       (737*t[87])/24 - (833*t[88])/48 - (901*t[89])/48 + 2*t[95] + 6*t[96] + 
       (17*t[97])/3 + 38*t[98] - 20*t[99] - 38*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((29*t[1])/8 - (175*t[2])/8 - (285*t[3])/8 + (31*t[4])/2 + 
       (137*t[5])/16 + (285*t[6])/8 - (131*t[7])/8 - (93*t[8])/8 + 
       (319*t[9])/16 + 25*t[10] + (37*t[11])/2 - (109*t[12])/16 + 
       (8131*t[13])/144 + (2057*t[14])/48 - (253*t[15])/96 + t[19] - 
       3*t[22] + (9*t[26])/4 - 4*t[27] + 29*t[28] + 12*t[29] - 28*t[30] + 
       16*t[31] - 6*t[32] + 18*t[33] - (19*t[34])/4 + 4*t[35] + (3*t[37])/2 + 
       t[38]/2 - (3*t[40])/2 + (19*t[41])/8 - (19*t[42])/8 + 2*t[43] - 
       10*t[44] - 3*t[46] + (185*t[48])/8 + (109*t[49])/8 - (163*t[50])/8 - 
       (25*t[51])/4 + (161*t[52])/8 - (37*t[53])/8 - (147*t[54])/8 + 
       (3*t[58])/4 + (19*t[59])/8 + (215*t[60])/4 + 162*t[61] - 
       (505*t[63])/4 - 132*t[64] + (355*t[65])/6 - (1687*t[66])/12 - 
       7*t[69] - 8*t[72] + 70*t[73] - 105*t[75] + (203*t[76])/4 + 10*t[77] - 
       81*t[78] + 2*t[79] - (17*t[80])/2 + (21*t[81])/4 - (93*t[82])/4 - 
       (69*t[83])/2 + (15*t[84])/2 + (59*t[85])/4 - 116*t[86] - 
       (39*t[87])/4 + (81*t[88])/8 + (557*t[89])/8 + 12*t[96] + 
       (29*t[97])/4 + 240*t[98] - 252*t[99] - (75*t[100])/2) + 
     HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - v]*((37*t[1])/2 - 69*t[2] - 
       (139*t[3])/8 + 79*t[4] + (451*t[5])/4 - (47*t[6])/2 - (51*t[7])/2 + 
       (579*t[8])/2 - (289*t[9])/2 + (521*t[10])/2 + 47*t[11] - 
       (373*t[12])/4 - (12047*t[13])/72 + (439*t[14])/8 - (3301*t[15])/144 + 
       2*t[17] - 12*t[19] - 16*t[20] - 12*t[21] + 40*t[22] + 10*t[23] - 
       12*t[24] + 12*t[27] - 24*t[28] + (41*t[29])/2 + 5*t[30] - 40*t[31] + 
       23*t[32] - 12*t[33] - 61*t[34] + 24*t[35] - 8*t[36] - 8*t[37] + 
       13*t[38] + 7*t[39] + (3*t[40])/2 - (21*t[41])/2 + (21*t[42])/2 - 
       (61*t[43])/4 - (37*t[44])/4 + (183*t[45])/2 + 6*t[46] - 
       (213*t[47])/2 + (605*t[48])/4 + (465*t[49])/4 - (255*t[50])/4 - 
       (567*t[51])/8 + (259*t[52])/4 - (353*t[53])/4 - 94*t[54] - 4*t[55] + 
       2*t[56] + 12*t[57] + (5*t[59])/2 - (139*t[60])/2 + (691*t[61])/4 - 
       (3327*t[62])/8 - (3633*t[63])/8 + (1257*t[64])/8 - (471*t[65])/4 - 
       (2911*t[66])/12 - 4*t[68] + 8*t[70] - 8*t[71] + 36*t[72] + 28*t[73] + 
       4*t[74] - 104*t[75] + (81*t[76])/2 + 9*t[77] - (267*t[78])/2 + 
       20*t[79] - 154*t[80] - 3*t[81] + (21*t[82])/2 + 86*t[83] - 
       (111*t[84])/4 - (175*t[85])/4 + 233*t[86] + (7*t[87])/4 + 
       (495*t[88])/8 - (121*t[89])/4 + 2*t[93] - 8*t[95] + 34*t[96] + 
       28*t[97] + 72*t[98] - 72*t[99] - 36*t[100]) + 
     HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w]*((-27*t[1])/2 - 13*t[2] + 44*t[3] + 
       (213*t[4])/4 - (377*t[5])/2 - (361*t[6])/4 + 239*t[7] - 315*t[8] + 
       (379*t[9])/2 - (411*t[10])/4 + (649*t[11])/2 + (499*t[12])/2 + 
       (473*t[13])/12 - (807*t[14])/16 - (320*t[15])/3 + 2*t[16] - 24*t[25] + 
       40*t[26] + 12*t[27] + 6*t[28] - 6*t[29] + 2*t[30] + 8*t[31] + 
       12*t[32] - 12*t[33] - 17*t[34] - 34*t[35] + 12*t[36] + 6*t[37] - 
       6*t[38] + (67*t[39])/2 - 7*t[40] + (17*t[41])/2 - (17*t[42])/2 - 
       (71*t[43])/2 + 21*t[44] + t[45]/2 + (15*t[46])/2 + 11*t[47] - 
       (465*t[48])/4 - 72*t[49] + (193*t[50])/4 + (415*t[51])/16 - 
       (213*t[52])/4 + 108*t[53] - (69*t[54])/2 + 3*t[58] + (5*t[59])/2 - 
       (139*t[60])/2 + (691*t[61])/4 - (3327*t[62])/8 - (3633*t[63])/8 + 
       (1257*t[64])/8 - (471*t[65])/4 - (2911*t[66])/12 - 4*t[68] + 8*t[70] - 
       8*t[71] + 36*t[72] + 28*t[73] + 4*t[74] - 104*t[75] + (81*t[76])/2 + 
       9*t[77] - (267*t[78])/2 + 20*t[79] - 154*t[80] - 3*t[81] + 
       (21*t[82])/2 + 86*t[83] - (111*t[84])/4 - (175*t[85])/4 + 233*t[86] + 
       (7*t[87])/4 + (495*t[88])/8 - (121*t[89])/4 + 2*t[93] - 8*t[95] + 
       34*t[96] + 28*t[97] + 72*t[98] - 72*t[99] - 36*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      (t[1] - 32*t[2] - (57*t[3])/4 + (111*t[4])/4 - (141*t[5])/8 + 
       (73*t[6])/32 + (315*t[7])/8 - (151*t[8])/8 + (45*t[9])/16 + 
       (25*t[10])/8 + (1535*t[11])/32 + (67*t[12])/8 + (137*t[13])/9 + 
       (251*t[14])/288 + (4355*t[15])/288 + 3*t[18] + 6*t[20] - 6*t[22] + 
       t[27] + 3*t[28] - t[29]/4 + (17*t[30])/2 + 4*t[31] - 3*t[32] + 
       3*t[33] - t[34] + 27*t[35] + 3*t[36] + 3*t[37] + t[38]/2 - 
       (7*t[39])/4 + (9*t[40])/2 + 2*t[41] - 2*t[42] + 2*t[43] - 
       (7*t[44])/4 + (3*t[46])/2 + 4*t[47] - (157*t[48])/32 - (35*t[49])/8 + 
       (395*t[50])/32 + (37*t[51])/16 - (427*t[52])/32 + (51*t[53])/8 - 
       (231*t[54])/32 + (17*t[59])/6 + (503*t[60])/16 + (2533*t[61])/48 + 
       (483*t[62])/32 + (1357*t[63])/32 - (1317*t[64])/32 + (677*t[65])/144 + 
       (5495*t[66])/144 + 2*t[67] + 16*t[69] - 9*t[70] + 9*t[71] - 5*t[72] + 
       9*t[73] - 15*t[74] + 15*t[75] + 13*t[76] + 4*t[77] - 23*t[78] - 
       24*t[79] - t[80] + (5*t[81])/2 - 12*t[82] - (87*t[83])/2 - 
       (109*t[84])/16 - (93*t[85])/16 - 46*t[86] - (525*t[87])/16 - 
       (525*t[88])/32 + (1013*t[89])/32 + 3*t[96] + 2*t[97] + 42*t[98] - 
       42*t[99] - 36*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((28*t[1])/3 - (17*t[2])/4 - 12*t[3] + 
       (315*t[4])/16 + (39*t[5])/4 + (267*t[6])/8 - (45*t[7])/4 + 
       (145*t[8])/4 + (19*t[9])/4 + (265*t[10])/32 - (345*t[11])/8 - 
       (827*t[12])/32 - (1747*t[13])/48 + (10063*t[14])/192 + 
       (121*t[15])/96 - 4*t[27] + 8*t[28] + 4*t[29] - 7*t[30] + t[31] - 
       t[34] + 6*t[35] + 3*t[36] + 9*t[37] + (11*t[38])/6 + (9*t[39])/2 + 
       t[41]/2 - t[42]/2 + t[43]/2 - 4*t[44] - 2*t[46] + (155*t[48])/8 + 
       (571*t[49])/32 - (181*t[50])/8 - (807*t[51])/64 + (173*t[52])/8 - 
       (507*t[53])/32 + (283*t[54])/16 + (17*t[59])/6 + (503*t[60])/16 + 
       (2533*t[61])/48 + (483*t[62])/32 + (1357*t[63])/32 - (1317*t[64])/32 + 
       (677*t[65])/144 + (5495*t[66])/144 + 2*t[67] + 16*t[69] - 9*t[70] + 
       9*t[71] - 5*t[72] + 9*t[73] - 15*t[74] + 15*t[75] + 13*t[76] + 
       4*t[77] - 23*t[78] - 24*t[79] - t[80] + (5*t[81])/2 - 12*t[82] - 
       (87*t[83])/2 - (109*t[84])/16 - (93*t[85])/16 - 46*t[86] - 
       (525*t[87])/16 - (525*t[88])/32 + (1013*t[89])/32 + 3*t[96] + 
       2*t[97] + 42*t[98] - 42*t[99] - 36*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      (4*t[1] - (127*t[2])/24 - (7*t[3])/2 - (341*t[4])/24 + (427*t[5])/24 - 
       (215*t[6])/16 + (269*t[7])/24 - (197*t[8])/12 + (33*t[9])/8 + 
       (851*t[10])/48 + (965*t[11])/48 - (233*t[12])/16 - (1561*t[13])/144 + 
       (2783*t[14])/96 + (799*t[15])/144 + t[17]/12 - t[18]/3 + 4*t[19] - 
       2*t[21] + (5*t[23])/3 - t[24]/3 - t[25]/3 + t[26]/3 - 2*t[28] - 
       (17*t[31])/3 - 8*t[35] + 3*t[37] - 2*t[39] + 2*t[40] + t[41]/3 - 
       t[42]/3 + (29*t[43])/12 + (11*t[44])/2 + (73*t[45])/12 - 
       (25*t[46])/12 - (25*t[47])/3 + (85*t[48])/48 + (123*t[49])/16 + 
       (119*t[50])/16 - (109*t[51])/32 - (119*t[52])/16 - (123*t[53])/16 - 
       (307*t[54])/48 + (7*t[59])/6 + (109*t[60])/4 + (101*t[61])/4 - 
       (255*t[62])/16 + (3743*t[63])/48 - (575*t[64])/12 - (739*t[65])/24 - 
       (2171*t[66])/72 + t[67]/4 + (5*t[69])/2 - (5*t[70])/2 + (5*t[71])/2 - 
       2*t[73] - (22*t[74])/3 - 3*t[75] + 2*t[76] - 2*t[77] - (7*t[78])/2 + 
       (35*t[79])/4 - (47*t[80])/2 + (5*t[81])/2 - t[82]/6 + (7*t[83])/3 + 
       (113*t[84])/24 - (5*t[85])/8 - 8*t[86] - (463*t[87])/24 - 
       (463*t[88])/48 - (637*t[89])/24 - t[94]/12 + 12*t[98] - 17*t[99] - 
       34*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((29*t[1])/24 - (17*t[2])/24 - (31*t[3])/12 - 
       (107*t[4])/48 + (271*t[5])/48 + (211*t[6])/32 + (195*t[7])/16 + 
       (1393*t[8])/48 + (155*t[9])/48 - (533*t[10])/96 + (2773*t[11])/96 - 
       (157*t[12])/32 + (647*t[13])/108 + (15547*t[14])/576 - 
       (269*t[15])/36 - t[16]/4 + (5*t[19])/6 + (11*t[25])/3 - (8*t[26])/3 - 
       t[27] - 4*t[28] + t[29]/2 - 4*t[31] - (11*t[34])/12 + (9*t[35])/2 + 
       (13*t[36])/6 - (11*t[37])/6 - (3*t[38])/2 - (37*t[39])/12 + 
       (7*t[40])/2 + (11*t[41])/24 - (11*t[42])/24 - (25*t[45])/6 + 
       (25*t[47])/3 + (353*t[48])/96 + (499*t[49])/96 - (215*t[50])/96 - 
       (439*t[51])/64 + (271*t[52])/96 - (121*t[53])/32 - (155*t[54])/96 + 
       t[58]/6 - (37*t[59])/24 + (1013*t[60])/24 + (295*t[61])/8 - 
       (241*t[62])/3 - (185*t[63])/24 + (253*t[64])/3 - (857*t[65])/48 - 
       (4415*t[66])/144 + t[67]/4 - (8*t[69])/3 + (3*t[70])/2 - (3*t[71])/2 - 
       2*t[72] - (5*t[73])/12 - (43*t[74])/12 - (59*t[75])/12 + t[76]/3 - 
       (10*t[77])/3 + (11*t[78])/12 + (7*t[79])/12 + (19*t[80])/2 + 
       (43*t[81])/24 - (23*t[82])/24 + (41*t[83])/6 + (75*t[84])/16 + 
       t[85]/3 + (613*t[86])/12 - (31*t[87])/24 - (59*t[88])/48 - 
       (95*t[89])/16 - (2*t[95])/3 - (2*t[96])/3 + (13*t[97])/12 + 2*t[98] - 
       4*t[99] - (133*t[100])/4) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-29*t[3])/4 + 35*t[4] - 2*t[5] + 
       (117*t[6])/8 - 8*t[7] + t[8]/2 + (67*t[9])/4 + (11*t[10])/4 + 
       (93*t[11])/8 + (55*t[12])/4 + (493*t[13])/24 + (11*t[14])/4 + 
       (11*t[15])/2 + 3*t[28] + 3*t[31] - 3*t[35] + 2*t[36] + 3*t[39] - 
       3*t[40] + 3*t[45] + t[46] - 6*t[47] + (21*t[48])/8 + t[49]/4 - 
       (71*t[50])/8 + (7*t[51])/8 + (71*t[52])/8 - t[53]/4 - t[54]/8 + 
       (393*t[60])/4 - (159*t[61])/4 + 43*t[62] - 96*t[63] - (773*t[64])/8 - 
       (35*t[65])/3 - (299*t[66])/6 + 3*t[74] - 16*t[75] + 3*t[77] + 
       3*t[78] + 5*t[79] - 6*t[80] + t[81] - t[82] + t[83] + (89*t[84])/4 + 
       (61*t[85])/4 - 67*t[86] - (311*t[87])/4 - (323*t[88])/8 + 
       (225*t[89])/8 + 12*t[99] - 33*t[100]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-3*t[2])/2 + (15*t[3])/2 + 29*t[4] + 
       6*t[5] + (49*t[6])/2 - 26*t[7] - 21*t[8] + (61*t[9])/2 - (3*t[10])/4 + 
       14*t[11] - (3*t[12])/4 + (751*t[13])/24 - (75*t[14])/8 - 
       (223*t[15])/12 - 7*t[28] + 18*t[29] - 18*t[30] - 3*t[32] + 3*t[33] - 
       3*t[35] - 3*t[36] - (3*t[43])/2 - 13*t[44] + (99*t[48])/4 - 
       (7*t[49])/4 - (75*t[50])/4 + (7*t[51])/8 + (75*t[52])/4 + 
       (7*t[53])/4 + (29*t[54])/4 + (393*t[60])/4 - (159*t[61])/4 + 
       43*t[62] - 96*t[63] - (773*t[64])/8 - (35*t[65])/3 - (299*t[66])/6 + 
       3*t[74] - 16*t[75] + 3*t[77] + 3*t[78] + 5*t[79] - 6*t[80] + t[81] - 
       t[82] + t[83] + (89*t[84])/4 + (61*t[85])/4 - 67*t[86] - 
       (311*t[87])/4 - (323*t[88])/8 + (225*t[89])/8 + 12*t[99] - 
       33*t[100]) + HPL[{1}, 1 - w]^2*Qep[v, u, w]*(8*t[2] - 24*t[3] + 
       (52*t[4])/3 + 24*t[5] - 8*t[6] - (8*t[7])/3 - (128*t[8])/3 - 
       (16*t[9])/3 - (34*t[10])/3 + (124*t[11])/3 - 14*t[12] + 
       (212*t[13])/9 + (229*t[14])/9 + (338*t[15])/27 + (32*t[24])/3 - 
       16*t[29] + (32*t[30])/3 - (32*t[31])/3 - (128*t[35])/3 - 8*t[48] + 
       (10*t[49])/3 + (40*t[50])/3 - (5*t[51])/3 - (40*t[52])/3 - 
       (10*t[53])/3 - 20*t[54] - 4*t[60] + (260*t[61])/3 - (46*t[62])/3 + 
       (22*t[63])/3 - (2*t[64])/3 - (16*t[65])/3 - (712*t[66])/9 - 16*t[73] + 
       (32*t[74])/3 - (80*t[75])/3 + (32*t[79])/3 + 8*t[81] - 8*t[82] + 
       (80*t[83])/3 - (28*t[85])/3 - 32*t[86] + (44*t[87])/3 + (22*t[88])/3 - 
       10*t[89] - 32*t[100]) + HPL[{1}, 1 - v]^2*Qep[v, u, w]*
      ((-16*t[3])/3 - (32*t[4])/3 - (20*t[5])/3 + 6*t[6] + (8*t[7])/3 + 
       (40*t[8])/3 + 12*t[9] + 6*t[11] - (104*t[12])/3 + (76*t[13])/9 + 
       (104*t[14])/3 - (22*t[15])/9 + (32*t[25])/3 - (32*t[26])/3 - 
       (32*t[37])/3 - (8*t[46])/3 + 6*t[48] + (32*t[49])/3 - (14*t[50])/3 - 
       6*t[51] + (14*t[52])/3 - (32*t[53])/3 + 10*t[54] - (32*t[59])/3 + 
       (28*t[60])/3 + (268*t[61])/3 - 30*t[62] + (50*t[63])/3 - 2*t[64] - 
       (112*t[65])/9 - (568*t[66])/9 - (64*t[69])/3 + (32*t[70])/3 - 
       (32*t[71])/3 - (16*t[73])/3 + (32*t[74])/3 - (112*t[75])/3 + 
       (32*t[79])/3 + (8*t[81])/3 - (8*t[82])/3 + (64*t[83])/3 - 
       (20*t[85])/3 - (32*t[86])/3 + (4*t[87])/3 + (2*t[88])/3 - 
       (26*t[89])/3 - 32*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(40*t[1] - (21*t[2])/2 - 7*t[3] + 
       (225*t[4])/2 + (23*t[5])/2 + (19*t[6])/2 - (89*t[7])/2 - (21*t[8])/2 - 
       11*t[9] - (475*t[10])/4 + (291*t[11])/2 - (369*t[12])/4 + 
       (1817*t[13])/18 - (1225*t[14])/24 - (259*t[15])/12 + (44*t[19])/3 - 
       40*t[26] - (9*t[37])/2 + 40*t[38] - 14*t[45] + 14*t[47] + 
       (53*t[49])/4 + (145*t[51])/8 - (45*t[53])/4 - 93*t[54] - 20*t[59] + 
       (477*t[60])/2 - (121*t[61])/2 + (125*t[62])/4 - (545*t[63])/4 - 
       (51*t[64])/2 - (416*t[65])/3 - (1421*t[66])/6 - 6*t[74] - 19*t[76] + 
       27*t[78] - 4*t[79] + 44*t[80] + 39*t[81] + 28*t[84] + 50*t[85] - 
       26*t[86] + 5*t[87] + (5*t[88])/2 + (109*t[89])/4 - 32*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*(2*t[1] + 51*t[2] - 
       (349*t[3])/4 - 12*t[4] - (69*t[5])/2 + (199*t[6])/4 - 37*t[7] + 
       (83*t[8])/2 + 64*t[9] - (27*t[10])/2 - (145*t[11])/4 + 5*t[12] + 
       (478*t[13])/9 + (379*t[14])/6 - (3461*t[15])/72 - (91*t[29])/2 + 
       3*t[30] - 4*t[31] + 48*t[34] - 8*t[37] - (29*t[39])/2 + 14*t[40] + 
       4*t[43] - (29*t[44])/2 - 3*t[46] - (177*t[48])/4 - (179*t[50])/4 + 
       (3*t[51])/4 + (179*t[52])/4 + t[53] + (169*t[54])/4 - 20*t[59] + 
       (477*t[60])/2 - (121*t[61])/2 + (125*t[62])/4 - (545*t[63])/4 - 
       (51*t[64])/2 - (416*t[65])/3 - (1421*t[66])/6 - 6*t[74] - 19*t[76] + 
       27*t[78] - 4*t[79] + 44*t[80] + 39*t[81] + 28*t[84] + 50*t[85] - 
       26*t[86] + 5*t[87] + (5*t[88])/2 + (109*t[89])/4 - 32*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((7*t[1])/12 - (487*t[2])/48 - (337*t[3])/144 - (2647*t[4])/144 - 
       (1469*t[5])/144 - (4813*t[6])/288 + (1919*t[7])/48 - (6355*t[8])/144 + 
       (2971*t[9])/144 - (1775*t[10])/288 + (2803*t[11])/288 + 
       (3263*t[12])/288 - (329*t[13])/36 + (2765*t[14])/576 - 
       (14237*t[15])/864 + (7*t[18])/6 + (26*t[20])/9 - (9*t[22])/2 - 
       (5*t[23])/3 - (5*t[24])/6 - (85*t[28])/18 - (65*t[29])/12 - 
       (25*t[30])/18 + (4*t[31])/3 + (55*t[32])/12 - (37*t[33])/9 + t[34] + 
       (37*t[35])/6 + 5*t[36] + (5*t[37])/3 + t[38]/2 + (25*t[39])/12 - 
       (31*t[40])/12 + (4*t[41])/3 - (4*t[42])/3 + (7*t[43])/3 + 
       (527*t[44])/72 - (11*t[45])/12 - t[46]/4 + (13*t[47])/4 - 
       (4379*t[48])/288 - (1859*t[49])/288 + (2965*t[50])/288 + 
       (1895*t[51])/576 - (2629*t[52])/288 + (2147*t[53])/288 - 
       (253*t[54])/96 - (17*t[59])/24 + (1517*t[60])/36 + (385*t[61])/12 - 
       (11533*t[62])/144 - (845*t[63])/144 + (11869*t[64])/144 - 
       (2651*t[65])/144 - (1265*t[66])/48 + t[67]/4 - t[69] + (2*t[70])/3 - 
       (2*t[71])/3 - 2*t[72] + (5*t[73])/12 - (53*t[74])/12 - (49*t[75])/12 + 
       t[76]/3 - (10*t[77])/3 + (11*t[78])/12 - t[79]/4 + (19*t[80])/2 + 
       (11*t[81])/8 - (13*t[82])/24 + (251*t[83])/36 + (75*t[84])/16 + 
       (79*t[85])/72 + (1909*t[86])/36 - (16*t[87])/9 - (53*t[88])/36 - 
       (55*t[89])/9 - (2*t[95])/3 - (2*t[96])/3 + (13*t[97])/12 + 2*t[98] - 
       4*t[99] - (379*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((-5*t[1])/3 - (37*t[3])/4 - 
       (211*t[4])/48 - (889*t[5])/48 + (31*t[6])/6 + (31*t[7])/24 - 
       (197*t[8])/24 + (1073*t[9])/48 + (145*t[10])/32 - (379*t[11])/24 - 
       (1787*t[12])/96 + (235*t[13])/144 + (287*t[14])/192 + 
       (1327*t[15])/144 - t[25] + (8*t[26])/3 - 2*t[27] + 4*t[28] - 2*t[29] + 
       t[30] + 4*t[31] - 2*t[35] + (13*t[36])/6 - (5*t[38])/3 + 4*t[39] - 
       4*t[40] + t[44] + 2*t[45] + (43*t[46])/12 - 4*t[47] - (7*t[48])/4 - 
       (139*t[49])/96 - (7*t[50])/4 - (245*t[51])/192 + (7*t[52])/4 + 
       (179*t[53])/96 - (51*t[54])/16 + (13*t[59])/12 - (55*t[60])/48 + 
       (683*t[61])/16 + (773*t[62])/32 + (235*t[63])/32 - (1763*t[64])/96 + 
       (2939*t[65])/144 + (2221*t[66])/144 - (8*t[69])/3 + 2*t[72] - 
       (44*t[73])/3 + 3*t[74] - 17*t[75] + (7*t[76])/3 + 4*t[77] + t[78]/3 - 
       (11*t[79])/6 - 5*t[80] + (14*t[81])/3 - (23*t[82])/2 + (88*t[83])/3 + 
       (163*t[84])/16 + (305*t[85])/48 - (179*t[86])/6 - (911*t[87])/48 - 
       (1223*t[88])/96 + (3835*t[89])/96 - (63*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((11*t[3])/3 - (29*t[4])/3 + (395*t[5])/24 - (67*t[6])/6 + 
       (331*t[7])/12 - (289*t[8])/12 - (323*t[9])/24 - (263*t[10])/12 + 
       (239*t[11])/12 - (155*t[12])/24 + (223*t[13])/54 - (127*t[14])/8 + 
       (1015*t[15])/144 - (59*t[28])/3 + (8*t[29])/3 - (8*t[30])/3 + 
       (13*t[43])/2 + (73*t[44])/3 - t[45] + 2*t[47] - (19*t[48])/2 + 
       (65*t[50])/6 - (65*t[52])/6 - (65*t[54])/6 - (73*t[60])/3 + 
       (103*t[61])/6 - (383*t[62])/12 + (575*t[63])/12 + (701*t[64])/12 - 
       (107*t[65])/6 - (75*t[66])/2 + 25*t[73] - 75*t[75] + (2*t[77])/3 + 
       3*t[79] + (64*t[80])/3 + (2*t[82])/3 + (101*t[83])/3 + (4*t[84])/3 + 
       (4*t[85])/3 + 27*t[86] + 19*t[87] + (19*t[88])/2 - (163*t[89])/12 - 
       31*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 
       1 - u]*((13*t[3])/3 - (62*t[4])/3 - (15*t[5])/8 - (4*t[6])/3 + 
       (107*t[7])/12 - (113*t[8])/12 + (75*t[9])/8 - (217*t[10])/12 + 
       (47*t[11])/4 + (385*t[12])/24 - (61*t[13])/27 + (67*t[14])/24 - 
       (1681*t[15])/144 - (2*t[22])/3 + (2*t[32])/3 + 3*t[36] + 
       (13*t[43])/6 - (29*t[45])/3 + (58*t[47])/3 - (73*t[49])/6 + 
       (73*t[53])/6 - (4*t[54])/3 - (73*t[60])/3 + (103*t[61])/6 - 
       (383*t[62])/12 + (575*t[63])/12 + (701*t[64])/12 - (107*t[65])/6 - 
       (75*t[66])/2 + 25*t[73] - 75*t[75] + (2*t[77])/3 + 3*t[79] + 
       (64*t[80])/3 + (2*t[82])/3 + (101*t[83])/3 + (4*t[84])/3 + 
       (4*t[85])/3 + 27*t[86] + 19*t[87] + (19*t[88])/2 - (163*t[89])/12 - 
       31*t[100]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*
      ((23*t[1])/9 + (5*t[2])/36 - (2813*t[3])/144 + (1019*t[4])/24 - 
       (605*t[5])/144 + (18829*t[6])/576 + (4009*t[7])/144 + (2377*t[8])/48 + 
       (4757*t[9])/288 + (2659*t[10])/144 + (22499*t[11])/576 - 
       (827*t[12])/144 + (2945*t[13])/1296 + (80629*t[14])/1728 + 
       (81677*t[15])/5184 + (23*t[27])/9 + 7*t[28] + (227*t[29])/36 + 
       (25*t[30])/12 + (2*t[31])/9 + (23*t[32])/9 - (23*t[33])/9 - 
       (23*t[34])/9 - 14*t[35] + t[36]/6 + (19*t[37])/3 + (23*t[38])/18 + 
       (181*t[39])/36 - (25*t[40])/12 + (23*t[41])/18 - (23*t[42])/18 + 
       (59*t[43])/18 - (773*t[44])/72 + t[46]/12 + (23*t[47])/9 + 
       (61*t[48])/192 + (769*t[49])/144 - (6409*t[50])/576 - 
       (563*t[51])/288 + (4937*t[52])/576 - (11*t[53])/48 + (485*t[54])/64 + 
       (40*t[59])/9 + (1339*t[60])/32 + (4863*t[61])/32 - (9049*t[62])/576 + 
       (14057*t[63])/576 - (33857*t[64])/576 - (25469*t[65])/864 - 
       (41119*t[66])/864 + (19*t[69])/3 - (25*t[72])/9 + (22*t[73])/3 + 
       6*t[75] + (152*t[76])/9 + (86*t[77])/9 - (235*t[78])/9 - 
       (49*t[79])/3 - (68*t[80])/9 + (365*t[81])/36 - (107*t[82])/6 - 
       (179*t[83])/6 - (4097*t[84])/288 - (5833*t[85])/288 - (647*t[86])/9 - 
       (7909*t[87])/288 - (7909*t[88])/576 + (12089*t[89])/576 + 
       (23*t[96])/3 + (46*t[97])/9 + (310*t[98])/3 - (310*t[99])/3 - 
       (91*t[100])/3) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*
      (80*t[4] + (195*t[5])/2 + 4*t[6] + 7*t[7] - 195*t[8] + (121*t[9])/2 - 
       40*t[10] + 91*t[11] - (65*t[12])/2 + (575*t[13])/6 + (41*t[14])/3 - 
       (949*t[15])/12 - 32*t[28] + 4*t[44] - t[48] + 35*t[49] + t[50] - 
       (35*t[51])/2 - t[52] - 35*t[53] - 71*t[54] + 94*t[60] + 14*t[61] + 
       17*t[62] - 233*t[63] - 14*t[64] - 63*t[65] - 323*t[66] - 160*t[73] + 
       180*t[75] + 50*t[81] - 50*t[82] + 160*t[83] + 5*t[84] + 70*t[85] - 
       84*t[87] - 42*t[88] + 34*t[89] - 30*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*(-5*t[3] + 104*t[4] - 
       (155*t[5])/2 - 30*t[6] + 5*t[7] + 15*t[8] + (165*t[9])/2 + 36*t[10] + 
       75*t[11] + (11*t[12])/2 + (211*t[13])/6 + (111*t[14])/2 - 
       (419*t[15])/12 + 50*t[46] - 30*t[48] - 3*t[49] - 40*t[50] - 37*t[51] + 
       40*t[52] + 3*t[53] + 40*t[54] + 94*t[60] + 14*t[61] + 17*t[62] - 
       233*t[63] - 14*t[64] - 63*t[65] - 323*t[66] - 160*t[73] + 180*t[75] + 
       50*t[81] - 50*t[82] + 160*t[83] + 5*t[84] + 70*t[85] - 84*t[87] - 
       42*t[88] + 34*t[89] - 30*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*(-3*t[1] + 18*t[2] - 
       (103*t[3])/4 + (79*t[4])/4 - (389*t[5])/8 + 42*t[6] + (39*t[7])/2 - 
       40*t[8] + (755*t[9])/8 - (523*t[10])/8 + (53*t[11])/4 + 
       (213*t[12])/4 + (254*t[13])/9 + (2029*t[14])/48 + (457*t[15])/48 - 
       t[17] + 4*t[19] + 4*t[20] + 4*t[21] - 12*t[22] - 4*t[23] + 4*t[24] - 
       4*t[27] + 10*t[28] - 7*t[29] + 2*t[30] + 26*t[31] + 4*t[32] + 
       4*t[33] + 22*t[34] - 12*t[35] - 4*t[36] + 4*t[37] - 3*t[38] - 
       5*t[39] - (7*t[40])/2 + 3*t[41] - 3*t[42] + (31*t[43])/4 - 
       (51*t[44])/2 - 19*t[45] - 3*t[46] + 22*t[47] - 22*t[48] - 
       (197*t[49])/8 + 14*t[50] + (261*t[51])/16 - 10*t[52] + (165*t[53])/8 + 
       (205*t[54])/4 + 2*t[55] - 4*t[57] - (3*t[59])/2 + (277*t[60])/4 + 
       (151*t[61])/4 + (1053*t[62])/8 + (1211*t[63])/8 - (1279*t[64])/8 - 
       (509*t[65])/12 + (737*t[66])/12 + 2*t[68] - 28*t[72] - 20*t[73] + 
       60*t[75] - 18*t[76] - 6*t[77] + 57*t[78] + 12*t[79] + 32*t[80] + 
       2*t[81] - 5*t[82] - 44*t[83] + t[84]/4 + (27*t[85])/4 - 139*t[86] - 
       (275*t[87])/4 - (275*t[88])/8 + (9*t[89])/8 - 2*t[93] - 6*t[96] - 
       3*t[97] + 8*t[99] - 30*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((13*t[1])/2 - (9*t[2])/2 - (47*t[3])/4 + 
       47*t[4] + (583*t[5])/8 + (313*t[6])/8 - (245*t[7])/4 + (265*t[8])/4 - 
       (509*t[9])/8 + (199*t[10])/4 - (433*t[11])/8 - (791*t[12])/8 - 
       (983*t[13])/72 + (279*t[14])/8 + (4645*t[15])/144 - 2*t[16] + 
       6*t[25] - 13*t[26] - 8*t[27] - 14*t[28] + 12*t[29] - 8*t[31] - 
       4*t[32] + 4*t[33] + 3*t[34] - 2*t[35] - 8*t[36] - 2*t[37] + 5*t[38] - 
       14*t[39] + 9*t[40] - (3*t[41])/2 + (3*t[42])/2 + (23*t[43])/2 - 
       13*t[44] + (9*t[45])/2 - 8*t[46] - 13*t[47] + (285*t[48])/8 + 
       58*t[49] - (207*t[50])/8 - (169*t[51])/8 + (183*t[52])/8 - 61*t[53] - 
       (77*t[54])/8 - t[58] - (3*t[59])/2 + (277*t[60])/4 + (151*t[61])/4 + 
       (1053*t[62])/8 + (1211*t[63])/8 - (1279*t[64])/8 - (509*t[65])/12 + 
       (737*t[66])/12 + 2*t[68] - 28*t[72] - 20*t[73] + 60*t[75] - 18*t[76] - 
       6*t[77] + 57*t[78] + 12*t[79] + 32*t[80] + 2*t[81] - 5*t[82] - 
       44*t[83] + t[84]/4 + (27*t[85])/4 - 139*t[86] - (275*t[87])/4 - 
       (275*t[88])/8 + (9*t[89])/8 - 2*t[93] - 6*t[96] - 3*t[97] + 8*t[99] - 
       30*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((-19*t[2])/2 - (1391*t[3])/72 + (227*t[4])/8 - 
       (3049*t[5])/144 + (11537*t[6])/288 - (425*t[7])/18 + (923*t[8])/9 - 
       t[9]/12 + (667*t[10])/144 - (2761*t[11])/288 - (152*t[12])/9 + 
       (2137*t[13])/216 + (7685*t[14])/216 + (1501*t[15])/432 + t[20] - 
       t[22] - (46*t[28])/9 - (13*t[29])/72 - (325*t[30])/36 + (11*t[31])/3 - 
       (49*t[32])/12 + (13*t[33])/4 - (5*t[34])/3 + (31*t[35])/3 - 4*t[36] + 
       t[37] + (2*t[40])/3 + t[41]/2 - t[42]/2 - t[43] - (1117*t[44])/36 + 
       t[47] + (1249*t[48])/96 + (139*t[49])/16 - (4493*t[50])/288 - 
       (115*t[51])/32 + (4493*t[52])/288 - (131*t[53])/16 + 
       (7709*t[54])/288 + (13*t[59])/12 + (539*t[60])/144 + 
       (5707*t[61])/144 + (6341*t[62])/288 - (967*t[63])/96 - 
       (4321*t[64])/288 + (10489*t[65])/432 + (1429*t[66])/144 + t[69] + 
       (17*t[72])/3 - 11*t[73] + 3*t[74] - (40*t[75])/3 + (7*t[76])/3 + 
       4*t[77] + t[78]/3 - (11*t[79])/2 - 5*t[80] + (14*t[81])/3 - 
       (23*t[82])/2 + (605*t[83])/18 + (1643*t[84])/144 + (1091*t[85])/144 - 
       (383*t[86])/18 - (421*t[87])/16 - (525*t[88])/32 + (11593*t[89])/288 - 
       (89*t[100])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*(-5*t[1] - (545*t[2])/72 - (7027*t[3])/288 + 
       (209*t[4])/72 - (4397*t[5])/288 + (4603*t[6])/128 + (437*t[7])/96 - 
       (8239*t[8])/288 + (22703*t[9])/576 + (8191*t[10])/144 - 
       (52363*t[11])/1152 + (5357*t[12])/144 - (28451*t[13])/864 + 
       (17593*t[14])/384 - (1477*t[15])/128 + (5*t[17])/12 - (4*t[18])/3 + 
       (65*t[20])/18 - (7*t[21])/3 + (13*t[22])/3 + 2*t[23] - t[24]/3 + 
       (2*t[25])/3 + (11*t[26])/6 - (2*t[27])/3 + (127*t[28])/18 - 
       (13*t[29])/24 + (181*t[30])/72 - t[31]/3 + (23*t[32])/6 - 
       (17*t[33])/9 + (83*t[34])/6 + (5*t[35])/3 + (5*t[36])/4 + 
       (10*t[37])/3 - (25*t[38])/4 + (151*t[39])/24 - (239*t[40])/24 + 
       (3*t[41])/2 - (19*t[42])/9 - (33*t[43])/4 - (247*t[44])/144 - 
       (41*t[45])/6 - (25*t[46])/8 + t[47]/2 + (1337*t[48])/1152 + 
       (853*t[49])/144 + (4697*t[50])/1152 - (1049*t[51])/144 + 
       (15463*t[52])/1152 - (613*t[53])/144 + (3449*t[54])/384 - t[58]/6 + 
       (107*t[59])/36 + (19273*t[60])/576 - (163*t[61])/64 + 
       (73853*t[62])/1152 + (143011*t[63])/1152 - (117659*t[64])/1152 - 
       (26353*t[65])/576 + (52093*t[66])/576 - (13*t[68])/6 + (16*t[69])/3 + 
       (11*t[70])/6 - (11*t[71])/6 - (4*t[72])/3 + (47*t[73])/12 - 
       (7*t[74])/3 + (79*t[75])/12 + (41*t[76])/3 + (85*t[77])/12 - 
       (27*t[78])/2 + 5*t[79] - (433*t[80])/6 + (35*t[81])/4 - (5*t[82])/8 - 
       (344*t[83])/9 - (461*t[84])/192 - (1211*t[85])/576 - (2189*t[86])/18 - 
       (26039*t[87])/576 - (26711*t[88])/1152 - (23485*t[89])/1152 + 
       t[90]/6 + (5*t[96])/2 + (10*t[97])/3 + 95*t[98] - 114*t[99] - 
       (175*t[100])/6) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*(-t[1] - (9*t[2])/2 + (23*t[3])/6 + 
       (25*t[4])/12 + (37*t[5])/24 - (11*t[6])/6 - (11*t[7])/2 - 10*t[8] + 
       (91*t[9])/24 + (1055*t[10])/24 - (161*t[11])/6 - (43*t[12])/12 - 
       (55*t[13])/6 + (407*t[14])/48 + (131*t[15])/144 + t[25] + 
       (23*t[28])/3 - (2*t[29])/3 + (2*t[30])/3 + (10*t[31])/3 - 6*t[35] - 
       4*t[36] - t[38] + 5*t[39] - 5*t[40] - (7*t[43])/3 + (2*t[44])/3 + 
       8*t[45] - t[46]/2 - 16*t[47] + 4*t[48] + (27*t[49])/8 + 3*t[50] - 
       (17*t[51])/16 - 3*t[52] - (19*t[53])/8 - (25*t[54])/12 + t[59] + 
       (83*t[60])/3 - (35*t[61])/2 + (53*t[62])/6 + (53*t[63])/2 - 
       (339*t[64])/4 + 26*t[65] + (271*t[66])/9 + 2*t[69] + 8*t[72] + 
       4*t[73] + 18*t[75] - 2*t[76] + 6*t[77] + 22*t[78] + 12*t[79] - 
       20*t[80] + (16*t[82])/3 - 29*t[83] + (32*t[84])/3 - (32*t[85])/3 - 
       (32*t[86])/3 - (76*t[87])/3 - (38*t[88])/3 - (17*t[89])/4 - 28*t[98] + 
       36*t[99] - 29*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2*
      (-t[3] + (25*t[4])/2 - (63*t[5])/8 - (23*t[6])/2 + (71*t[7])/2 - 
       (141*t[8])/2 + (293*t[9])/8 - (31*t[10])/4 + (109*t[11])/4 + 
       (61*t[12])/8 + (65*t[13])/8 - 9*t[14] - (1615*t[15])/144 - 
       (13*t[43])/4 + 21*t[44] - (13*t[45])/2 + 13*t[47] - (55*t[48])/4 + 
       (7*t[49])/4 + (55*t[50])/4 - (7*t[51])/8 - (55*t[52])/4 - 
       (7*t[53])/4 - (69*t[54])/4 - t[60]/2 + (75*t[61])/2 - (147*t[62])/4 - 
       (5*t[63])/4 - 4*t[64] - (29*t[65])/4 - (193*t[66])/4 + 2*t[73] + 
       3*t[75] + 4*t[79] + (7*t[81])/2 - (7*t[82])/2 - 16*t[83] + 
       (7*t[84])/4 + (7*t[85])/2 + 12*t[86] + 4*t[87] + 2*t[88] - 15*t[89] - 
       (57*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]^2*
      ((-3*t[3])/4 - (19*t[4])/2 + (39*t[5])/8 - t[6]/2 + (3*t[7])/2 + 
       (19*t[8])/2 - (59*t[9])/8 + (41*t[10])/4 + (47*t[11])/4 + 
       (21*t[12])/8 - (205*t[13])/24 + (587*t[14])/24 + (53*t[15])/48 + 
       4*t[36] + (13*t[43])/4 + (13*t[45])/2 + (7*t[46])/2 - 13*t[47] - 
       (29*t[49])/4 - (7*t[50])/2 - (17*t[51])/4 + (7*t[52])/2 + 
       (29*t[53])/4 + (7*t[54])/2 - t[60]/2 + (75*t[61])/2 - (147*t[62])/4 - 
       (5*t[63])/4 - 4*t[64] - (29*t[65])/4 - (193*t[66])/4 + 2*t[73] + 
       3*t[75] + 4*t[79] + (7*t[81])/2 - (7*t[82])/2 - 16*t[83] + 
       (7*t[84])/4 + (7*t[85])/2 + 12*t[86] + 4*t[87] + 2*t[88] - 15*t[89] - 
       (57*t[100])/2) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*(t[1]/36 + (1025*t[2])/72 + (115*t[3])/4 - 
       (1051*t[4])/72 - (113*t[5])/32 - (635*t[6])/48 + (175*t[7])/8 + 
       (29*t[8])/18 + (3035*t[9])/288 - (5321*t[10])/144 - (52*t[11])/3 + 
       (3979*t[12])/288 - (6271*t[13])/648 - (3479*t[14])/144 - 
       (1513*t[15])/576 - (11*t[17])/6 - t[19] - 5*t[20] + 3*t[21] + t[22] - 
       3*t[23] - t[24]/3 - (5*t[26])/2 + (41*t[27])/9 - (4*t[28])/9 - 
       (137*t[29])/36 - (10*t[30])/9 + (37*t[31])/9 + t[32]/6 - 7*t[33] + 
       (43*t[34])/18 - (5*t[35])/3 + (13*t[36])/3 - (8*t[37])/3 + 
       (25*t[38])/18 + (5*t[39])/2 + (31*t[40])/12 + (5*t[41])/36 - 
       (5*t[42])/36 + (191*t[43])/144 - (491*t[44])/72 - (229*t[45])/12 - 
       (3*t[46])/4 + (139*t[47])/6 - (2183*t[48])/144 - (223*t[49])/16 - 
       (131*t[50])/144 + (569*t[51])/96 - (965*t[52])/144 + 
       (2327*t[53])/144 + (599*t[54])/144 + (5*t[55])/6 + t[56]/2 - t[57] - 
       (5*t[58])/6 - (35*t[59])/18 - (523*t[60])/12 - 41*t[61] + 
       (439*t[62])/9 + (847*t[63])/36 - (1843*t[64])/144 + (7499*t[65])/216 + 
       (22483*t[66])/216 + (17*t[68])/3 - t[69] - (4*t[70])/3 + (4*t[71])/3 - 
       (23*t[72])/9 - t[73]/6 - (25*t[75])/6 + (47*t[76])/18 - 
       (43*t[77])/18 - (115*t[78])/18 + (71*t[79])/6 + (433*t[80])/18 - 
       (287*t[81])/36 + (111*t[82])/4 + t[83]/2 - (211*t[84])/18 + 
       (355*t[85])/72 + (419*t[86])/36 + (913*t[87])/72 + (529*t[88])/144 - 
       (91*t[89])/18 + t[91]/12 - t[93] + 4*t[96] + (8*t[97])/9 + 
       (257*t[98])/3 - (257*t[99])/3 - (80*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      (-t[3]/4 - (26*t[4])/3 - (31*t[5])/24 + (13*t[7])/12 + (19*t[8])/12 + 
       (37*t[9])/24 - (7*t[10])/6 - (13*t[11])/4 - (19*t[12])/8 - 
       (371*t[13])/72 + (437*t[14])/72 - (167*t[15])/144 + 10*t[36] + 
       t[46]/2 - (29*t[49])/12 - t[50]/2 - (7*t[51])/4 + t[52]/2 + 
       (29*t[53])/12 + (19*t[54])/6 - (49*t[60])/6 + (97*t[61])/6 - 
       (97*t[62])/12 + (99*t[63])/4 + (73*t[64])/6 - (415*t[65])/36 + 
       (5*t[66])/4 - 10*t[69] - 6*t[73] - 16*t[75] + 10*t[79] + t[81]/2 - 
       t[82]/2 + (35*t[83])/3 - (29*t[84])/12 - (13*t[85])/6 + (10*t[86])/3 + 
       14*t[87] + 7*t[88] - (19*t[89])/6 - (53*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      ((7*t[1])/4 - (15*t[2])/4 - (247*t[3])/144 + (451*t[4])/72 + 
       (23*t[5])/288 + (673*t[6])/96 - (183*t[7])/32 - (6203*t[8])/288 + 
       (637*t[9])/96 - (877*t[10])/288 + (3809*t[11])/288 - (265*t[12])/32 + 
       (13309*t[13])/864 + (1591*t[14])/576 + (221*t[15])/576 + (5*t[25])/9 - 
       (5*t[26])/9 - t[27]/4 + 2*t[28] - t[29]/2 + (3*t[31])/2 - 
       (3*t[35])/2 - (3*t[36])/2 - (35*t[37])/12 + (9*t[39])/4 - 
       (9*t[40])/4 + (3*t[43])/2 + (15*t[44])/8 + 2*t[45] - (13*t[46])/144 - 
       4*t[47] - (23*t[48])/96 + (197*t[49])/144 - (193*t[50])/288 - 
       (143*t[51])/576 + (193*t[52])/288 - (197*t[53])/144 - (529*t[54])/96 - 
       t[59]/6 + (3013*t[60])/144 + (587*t[61])/16 + (6311*t[62])/288 - 
       (1727*t[63])/288 - (13127*t[64])/288 - (197*t[65])/16 - 
       (5903*t[66])/144 - t[69]/3 + (5*t[70])/12 - (5*t[71])/12 + 
       (5*t[72])/2 - 2*t[73] + (17*t[74])/24 - (5*t[75])/3 + 2*t[77] + 
       2*t[78] + (245*t[79])/24 - 3*t[80] + (5*t[81])/4 + (9*t[82])/4 - 
       (727*t[83])/72 + (223*t[84])/48 + (733*t[85])/144 - (2465*t[86])/72 - 
       (2663*t[87])/144 - (2663*t[88])/288 - (1045*t[89])/288 + t[99] - 
       (631*t[100])/24) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]^2*(-t[1]/2 - (3*t[2])/4 - (11*t[3])/24 - 
       (65*t[4])/12 + (19*t[5])/16 + (13*t[6])/16 + (149*t[7])/48 + 
       (133*t[8])/48 + (83*t[9])/24 - (93*t[10])/16 + (185*t[11])/24 + 
       (37*t[12])/8 + (395*t[13])/144 + (415*t[14])/72 + (3*t[15])/4 - 
       t[16]/4 + (23*t[25])/12 - (7*t[26])/6 - t[27] - t[28] - t[29]/2 + 
       t[30]/2 - t[31]/2 + t[35] + (9*t[36])/2 - t[37]/2 - (3*t[38])/4 - 
       t[39]/4 + t[40]/4 + (3*t[44])/2 + t[45] - t[46]/3 - 2*t[47] + 
       (7*t[48])/2 - (7*t[49])/6 - (11*t[50])/12 - (7*t[51])/6 + 
       (11*t[52])/12 + (11*t[53])/12 + (11*t[54])/24 + t[59]/8 - 
       (7*t[60])/8 + (557*t[61])/24 - (65*t[62])/24 + (341*t[63])/48 - 
       (77*t[64])/16 + (289*t[65])/144 - (191*t[66])/16 - (9*t[69])/4 + 
       t[70]/2 - t[71]/2 + t[72] + (7*t[73])/4 + (5*t[74])/4 - (53*t[75])/4 - 
       t[77] - t[78] + (43*t[79])/4 - 2*t[80] - (5*t[81])/8 + (17*t[82])/8 + 
       (91*t[83])/24 + (203*t[84])/48 + t[85]/8 - (17*t[86])/12 + 
       (7*t[87])/3 + (31*t[88])/24 - (43*t[89])/8 - 24*t[98] + 26*t[99] - 
       (209*t[100])/8) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-403*t[1])/72 + (227*t[2])/72 + (13*t[3])/6 + 
       (13519*t[4])/576 - (191*t[5])/24 - (113*t[6])/16 + (157*t[7])/12 - 
       (433*t[8])/72 + (217*t[9])/36 - (6187*t[10])/1152 + (611*t[11])/48 - 
       (4055*t[12])/1152 + (82399*t[13])/5184 - (3205*t[14])/768 + 
       (7321*t[15])/3456 + t[16]/2 + (10*t[25])/3 + (9*t[26])/4 + 
       (37*t[27])/18 - (37*t[28])/9 - (37*t[29])/18 + (95*t[30])/36 - 
       (85*t[31])/18 + (23*t[34])/36 - (5*t[35])/3 - (25*t[36])/12 - 
       3*t[37] - (205*t[38])/36 - (43*t[39])/12 + (7*t[40])/6 - 
       (23*t[41])/72 + (23*t[42])/72 - (19*t[43])/36 + (19*t[44])/18 - 
       t[46]/12 - (523*t[48])/72 + (1925*t[49])/384 + (1043*t[50])/72 + 
       (2863*t[51])/768 - (817*t[52])/72 - (10607*t[53])/1152 - 
       (1099*t[54])/576 + (5*t[58])/12 - (53*t[59])/72 - (545*t[60])/64 - 
       (6343*t[61])/192 - (11317*t[62])/1152 - (14971*t[63])/1152 + 
       (2755*t[64])/1152 - (24149*t[65])/1728 - (53983*t[66])/1728 - 
       (29*t[69])/6 + (19*t[70])/6 - (19*t[71])/6 + (65*t[72])/18 - 
       (45*t[73])/4 - (5*t[74])/3 - (3*t[75])/4 - (389*t[76])/36 - 
       (55*t[77])/18 + (251*t[78])/18 + (9*t[79])/2 - (53*t[80])/18 - 
       (41*t[81])/9 + (31*t[82])/8 + (383*t[83])/12 - (473*t[84])/576 - 
       (1141*t[85])/576 + (805*t[86])/18 - (3649*t[87])/576 - 
       (6433*t[88])/1152 - (29947*t[89])/1152 + (4*t[95])/3 - (19*t[96])/6 - 
       (91*t[97])/36 - (136*t[98])/3 + (142*t[99])/3 - (77*t[100])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      (-t[1]/2 - (283*t[2])/24 + (1673*t[3])/288 - (1261*t[4])/72 - 
       (653*t[5])/288 - (23021*t[6])/1152 - (319*t[7])/96 - (7555*t[8])/288 + 
       (6287*t[9])/576 - (1127*t[10])/144 - (11419*t[11])/1152 - 
       (265*t[12])/144 - (13169*t[13])/864 + (1321*t[14])/384 - 
       (17615*t[15])/3456 + (7*t[20])/9 - t[22] - (19*t[24])/6 - t[27]/2 - 
       (65*t[28])/18 + (83*t[29])/24 - (767*t[30])/72 + (7*t[31])/3 + 
       (37*t[32])/12 - (32*t[33])/9 - (7*t[34])/2 + (44*t[35])/3 + t[36]/4 + 
       (5*t[37])/6 - t[38]/4 + (7*t[39])/24 - (15*t[40])/8 - t[41]/4 + 
       t[42]/4 - t[43]/4 - (1471*t[44])/144 - (7*t[46])/8 - t[47]/2 + 
       (2441*t[48])/1152 - (233*t[49])/144 + (2633*t[50])/1152 + 
       (37*t[51])/144 - (2057*t[52])/1152 + (89*t[53])/144 - 
       (5111*t[54])/384 + (5*t[59])/2 - (767*t[60])/576 - (2403*t[61])/64 - 
       (14563*t[62])/1152 - (1805*t[63])/1152 - (7115*t[64])/1152 - 
       (11009*t[65])/576 - (10387*t[66])/576 + (7*t[69])/3 + (10*t[72])/3 - 
       (67*t[73])/12 - (29*t[74])/6 + (19*t[75])/12 - (29*t[76])/6 - 
       (5*t[77])/3 + (47*t[78])/6 + t[79]/2 - (8*t[80])/3 - (47*t[81])/12 + 
       (101*t[82])/24 + (1123*t[83])/36 - (821*t[84])/192 + 
       (1261*t[85])/576 + (823*t[86])/18 - (8783*t[87])/576 - 
       (11567*t[88])/1152 - (26797*t[89])/1152 + (4*t[95])/3 - (3*t[96])/2 - 
       t[97] - 7*t[98] + 9*t[99] - (151*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2*
      ((7*t[2])/16 - (35*t[3])/12 + (103*t[4])/24 + t[5]/4 + (19*t[6])/6 + 
       (317*t[7])/48 + (253*t[8])/48 + (403*t[9])/48 + (5*t[10])/8 + 
       (91*t[11])/16 + (109*t[12])/24 + (35*t[13])/24 + (941*t[14])/288 + 
       (211*t[15])/288 - (7*t[20])/3 + (3*t[22])/2 - t[24] - 6*t[28] - 
       (17*t[29])/12 - 2*t[30] + t[31]/2 + t[32]/2 - (13*t[33])/12 - 
       t[35]/2 + t[36] + t[41]/4 - t[42]/4 - t[43]/2 + (11*t[44])/2 - 
       t[46]/2 - (11*t[48])/24 - (37*t[49])/48 - (25*t[50])/24 - 
       (29*t[51])/96 + (25*t[52])/24 + (37*t[53])/48 + (25*t[54])/12 + 
       (5*t[59])/8 - (11*t[60])/12 + (61*t[61])/3 - (41*t[62])/16 + 
       (197*t[63])/24 - (143*t[64])/24 + (241*t[65])/144 - (449*t[66])/48 - 
       (5*t[69])/4 + t[72] + (9*t[73])/4 + (3*t[74])/4 - (51*t[75])/4 - 
       t[77] - t[78] + (41*t[79])/4 - 2*t[80] - (7*t[81])/8 + (19*t[82])/8 + 
       (31*t[83])/8 + (203*t[84])/48 + (7*t[85])/12 - t[86]/4 + 
       (49*t[87])/24 + (55*t[88])/48 - (263*t[89])/48 - 24*t[98] + 26*t[99] - 
       (201*t[100])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*(8*t[3] + t[5]/2 - 26*t[6] + 59*t[7] - 
       61*t[8] - (5*t[9])/2 + t[10] + 25*t[11] - t[12]/2 + (8*t[13])/3 - 
       (253*t[14])/6 + (25*t[15])/12 - 52*t[28] + 16*t[29] - 16*t[30] + 
       68*t[44] - 18*t[48] + 26*t[50] - 26*t[52] - 26*t[54] - 28*t[60] + 
       34*t[61] - 65*t[62] + 105*t[63] + 31*t[64] - 42*t[65] - 62*t[66] + 
       96*t[73] - 240*t[75] + 12*t[79] + 52*t[83] + 8*t[84] + 8*t[85] - 
       4*t[86] + 36*t[87] + 18*t[88] - 25*t[89] - 24*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-52*t[4] + t[5]/2 - t[7] - t[8] - t[9]/2 + 35*t[10] + 15*t[11] + 
       (99*t[12])/2 - (20*t[13])/3 + (139*t[14])/6 - (103*t[15])/12 + 
       12*t[36] - 34*t[49] + 34*t[53] - 8*t[54] - 28*t[60] + 34*t[61] - 
       65*t[62] + 105*t[63] + 31*t[64] - 42*t[65] - 62*t[66] + 96*t[73] - 
       240*t[75] + 12*t[79] + 52*t[83] + 8*t[84] + 8*t[85] - 4*t[86] + 
       36*t[87] + 18*t[88] - 25*t[89] - 24*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((2*t[1])/3 - (4*t[2])/3 + (43*t[3])/12 + (5*t[4])/4 - (2*t[5])/3 - 
       (257*t[6])/48 + (247*t[7])/12 - (11*t[8])/4 + (143*t[9])/24 - 
       (175*t[10])/24 + (773*t[11])/48 + (29*t[12])/24 + (77*t[13])/108 - 
       (151*t[14])/72 + (413*t[15])/432 + (2*t[27])/3 - 2*t[28] + 
       (7*t[29])/6 + t[30] + (2*t[31])/3 + (8*t[32])/3 - (8*t[33])/3 - 
       (2*t[34])/3 + 2*t[35] + 3*t[36] + t[38]/3 + t[39]/3 + t[40]/2 + 
       t[41]/3 - t[42]/3 + (4*t[43])/3 + (8*t[44])/3 - t[46]/2 + 
       (2*t[47])/3 - (29*t[48])/16 - (13*t[49])/24 + (233*t[50])/48 + 
       (11*t[51])/48 - (265*t[52])/48 + (15*t[53])/8 - (107*t[54])/16 + 
       t[59]/3 + (11*t[60])/8 + (143*t[61])/8 - (775*t[62])/48 + 
       (359*t[63])/48 - (35*t[64])/48 - (11*t[65])/72 + (71*t[66])/72 - 
       (4*t[72])/3 - 2*t[74] + 2*t[75] + (14*t[76])/3 - (4*t[77])/3 - 
       (28*t[78])/3 - 2*t[79] + (16*t[80])/3 - (10*t[81])/3 + t[82] - 
       6*t[83] - (107*t[84])/24 - (103*t[85])/24 + (34*t[86])/3 + 
       (53*t[87])/24 + (53*t[88])/48 + (11*t[89])/48 + 2*t[96] + 
       (4*t[97])/3 + 16*t[98] - 8*t[99] - 24*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      ((2*t[1])/3 - (4*t[2])/3 - (3*t[3])/4 + (7*t[4])/24 + (11*t[5])/4 + 
       (15*t[6])/4 + (5*t[7])/2 + (97*t[8])/6 - t[9]/3 - (91*t[10])/48 + 
       t[11] - (23*t[12])/48 - (1067*t[13])/216 + (1309*t[14])/96 - 
       (233*t[15])/144 - (2*t[27])/3 - (2*t[28])/3 - (4*t[29])/3 - 
       (2*t[30])/3 - (4*t[31])/3 - (2*t[34])/3 + 2*t[35] + 3*t[36] + 
       t[38]/3 - t[39] + 2*t[40] + t[41]/3 - t[42]/3 + t[43]/3 + t[44]/3 - 
       2*t[45] - (5*t[46])/2 + 4*t[47] + (25*t[48])/6 + (93*t[49])/16 - 
       (41*t[50])/6 - (77*t[51])/32 + (37*t[52])/6 - (215*t[53])/48 + 
       (89*t[54])/24 + t[59]/3 + (11*t[60])/8 + (143*t[61])/8 - 
       (775*t[62])/48 + (359*t[63])/48 - (35*t[64])/48 - (11*t[65])/72 + 
       (71*t[66])/72 - (4*t[72])/3 - 2*t[74] + 2*t[75] + (14*t[76])/3 - 
       (4*t[77])/3 - (28*t[78])/3 - 2*t[79] + (16*t[80])/3 - (10*t[81])/3 + 
       t[82] - 6*t[83] - (107*t[84])/24 - (103*t[85])/24 + (34*t[86])/3 + 
       (53*t[87])/24 + (53*t[88])/48 + (11*t[89])/48 + 2*t[96] + 
       (4*t[97])/3 + 16*t[98] - 8*t[99] - 24*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (t[1] + 4*t[2] + (181*t[3])/8 + (139*t[4])/12 + (247*t[5])/12 - 
       9*t[6] + t[7]/12 - (239*t[8])/12 - (53*t[9])/6 - (145*t[10])/24 + 
       (43*t[11])/2 + (63*t[12])/8 + (29*t[13])/8 - (1121*t[14])/144 - 
       (679*t[15])/144 - 2*t[20] + 2*t[22] - 2*t[27] + t[29]/2 + t[30] + 
       3*t[31] + t[32]/2 - t[33] - 3*t[34] - t[35] - 4*t[36] - 3*t[37] + 
       t[38]/2 + 2*t[39] - 2*t[40] - (3*t[43])/2 + (21*t[44])/4 - 
       (7*t[46])/2 - 2*t[48] + (173*t[49])/24 - (3*t[50])/2 - (53*t[51])/16 + 
       t[52]/2 - (125*t[53])/24 - (61*t[54])/3 - (3*t[59])/2 - (50*t[60])/3 - 
       (151*t[61])/12 - (89*t[62])/24 + (83*t[63])/8 - (953*t[64])/24 - 
       (253*t[65])/9 - 14*t[66] - 4*t[69] - 3*t[72] - 20*t[73] + 41*t[75] - 
       t[76] - 2*t[77] - t[78] + 10*t[79] + 3*t[80] - (21*t[81])/2 + 
       (23*t[82])/2 - (40*t[83])/3 - (35*t[84])/3 - (65*t[85])/12 - 
       (2*t[86])/3 - (55*t[87])/4 - (71*t[88])/8 - (323*t[89])/12 + 2*t[95] + 
       2*t[96] + 2*t[97] - 54*t[98] + 72*t[99] - 24*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((-313*t[1])/72 - (157*t[2])/72 - (5*t[3])/288 - (131*t[4])/24 + 
       (8069*t[5])/576 + (271*t[6])/18 - (2561*t[7])/288 + (2011*t[8])/96 - 
       (4477*t[9])/576 + (1729*t[10])/72 - (2879*t[11])/144 + 
       (3413*t[12])/576 - (65795*t[13])/5184 + (17261*t[14])/1728 + 
       (74045*t[15])/10368 + t[25]/2 - (7*t[26])/4 - (2*t[27])/9 + t[28]/2 + 
       t[29]/36 - t[30]/3 - (17*t[31])/9 - (13*t[32])/18 + (13*t[33])/18 + 
       (35*t[34])/36 - t[35] + (29*t[36])/6 + (11*t[37])/3 - (103*t[38])/36 - 
       (53*t[39])/72 + (7*t[40])/12 - (35*t[41])/72 + (35*t[42])/72 - 
       (43*t[43])/144 - (391*t[44])/72 + (125*t[45])/16 - (61*t[46])/12 - 
       (1177*t[47])/72 + (553*t[48])/96 - (2309*t[49])/288 - 
       (2671*t[50])/288 + (1631*t[51])/288 + (1655*t[52])/288 + 
       (55*t[53])/96 + (123*t[54])/32 - t[58]/4 + (259*t[59])/72 + 
       (77*t[60])/8 + (545*t[61])/16 - (907*t[62])/72 + (22*t[63])/9 - 
       (16265*t[64])/288 + (21841*t[65])/432 + (14153*t[66])/432 + 2*t[68] + 
       (25*t[69])/6 + 3*t[70] - 3*t[71] + (91*t[72])/9 + (19*t[73])/6 - 
       (13*t[74])/2 - 4*t[75] - (167*t[76])/9 + (16*t[77])/9 + 
       (871*t[78])/36 + (59*t[79])/6 - (1045*t[80])/36 + (79*t[81])/36 + 
       (103*t[82])/12 + (25*t[83])/12 + (1019*t[84])/72 - (737*t[85])/72 - 
       (1103*t[86])/72 + (437*t[87])/144 + (4325*t[88])/288 - (53*t[89])/9 + 
       t[91]/24 + t[93]/2 - 3*t[95] - (31*t[96])/6 + (11*t[97])/36 - 
       (133*t[98])/3 + (148*t[99])/3 - (133*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-5*t[1])/3 + (19*t[2])/3 - t[3]/2 + (109*t[4])/12 + (43*t[5])/6 + 
       19*t[6] + (31*t[7])/2 - (223*t[8])/12 + (275*t[9])/12 - 
       (325*t[10])/24 + (41*t[11])/2 - (47*t[12])/8 + (71*t[13])/54 + 
       (3353*t[14])/144 + (19*t[15])/36 - 3*t[27] + 6*t[28] - 3*t[30] + 
       2*t[31] + t[32] - t[33] + (5*t[34])/3 - 8*t[35] + 4*t[36] - 
       (5*t[38])/6 - (17*t[39])/6 + 2*t[40] - (5*t[41])/6 + (5*t[42])/6 + 
       t[43]/2 + t[44] + 4*t[45] - (5*t[46])/2 - 7*t[47] - (49*t[48])/12 - 
       (65*t[49])/24 + (143*t[50])/12 - (63*t[51])/16 - (41*t[52])/4 - 
       (5*t[53])/8 - (21*t[54])/2 - (5*t[59])/6 + 22*t[60] + (193*t[61])/3 + 
       (365*t[62])/12 + (301*t[63])/4 - 109*t[64] - (146*t[65])/9 - 
       (13*t[66])/2 + 2*t[72] - (62*t[76])/3 - (14*t[77])/3 + (31*t[78])/3 + 
       4*t[79] - (28*t[80])/3 + t[81] - t[82] - 22*t[83] + (23*t[84])/2 + 
       5*t[85] - 58*t[86] - (43*t[87])/3 - (43*t[88])/6 - (68*t[89])/3 - 
       9*t[96] - (10*t[97])/3 - 76*t[98] + 60*t[99] - 22*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-29*t[1])/24 - (401*t[2])/36 + (209*t[3])/12 + (535*t[4])/576 + 
       (793*t[5])/16 - (47*t[6])/6 - (445*t[7])/8 - (3319*t[8])/72 - 
       (9767*t[9])/144 + (88733*t[10])/1152 - (1211*t[11])/24 - 
       (23399*t[12])/1152 - (187553*t[13])/5184 - (26327*t[14])/2304 + 
       (65533*t[15])/3456 - (7*t[18])/3 - t[19]/3 - (3*t[20])/2 - 
       (3*t[21])/2 + (5*t[22])/6 + (3*t[23])/2 - 2*t[24] - 2*t[25] - 
       (9*t[26])/4 + (7*t[27])/18 + (23*t[28])/9 + (23*t[29])/18 - 
       (25*t[30])/36 + (11*t[31])/18 - (8*t[32])/3 + (19*t[33])/6 - 
       (187*t[34])/36 - (67*t[35])/6 - (23*t[36])/12 + (8*t[37])/3 + 
       (107*t[38])/36 + t[39]/4 + (37*t[40])/6 - (29*t[41])/72 + 
       (35*t[42])/72 - (25*t[43])/36 + (17*t[44])/9 + (70*t[45])/3 - 
       (3*t[46])/4 - (287*t[47])/6 - (443*t[48])/144 + (1213*t[49])/384 - 
       (1595*t[50])/144 - (1193*t[51])/768 + (199*t[52])/144 - 
       (2039*t[53])/1152 + (353*t[54])/576 - (9*t[58])/4 + (269*t[59])/72 + 
       (4981*t[60])/192 - (4039*t[61])/192 + (78443*t[62])/1152 + 
       (140021*t[63])/1152 - (118349*t[64])/1152 - (74789*t[65])/1728 + 
       (169169*t[66])/1728 - (13*t[68])/6 + (37*t[69])/6 + t[70] - t[71] - 
       (19*t[72])/18 + (9*t[73])/4 - (19*t[74])/6 + (33*t[75])/4 + 
       (277*t[76])/36 + (205*t[77])/36 - (133*t[78])/18 + 5*t[79] - 
       (652*t[80])/9 + (55*t[81])/9 + (25*t[82])/24 - (221*t[83])/6 + 
       (607*t[84])/576 - (1501*t[85])/576 - (2039*t[86])/18 - 
       (22249*t[87])/576 - (22921*t[88])/1152 - (27595*t[89])/1152 + 
       t[90]/6 + (5*t[96])/6 + (65*t[97])/36 + (170*t[98])/3 - 
       (227*t[99])/3 - (65*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((2*t[3])/3 + t[4] - (59*t[5])/24 + 
       (13*t[6])/3 - (7*t[7])/12 + (203*t[8])/12 + (37*t[9])/8 - 
       (43*t[10])/6 + (49*t[11])/12 + (77*t[12])/24 + (97*t[13])/72 + 
       (35*t[14])/18 - (91*t[15])/144 - (10*t[28])/3 + (4*t[29])/3 - 
       (4*t[30])/3 + 10*t[31] + 20*t[35] - (19*t[44])/3 - (21*t[48])/4 + 
       t[49]/4 - (49*t[50])/12 - t[51]/8 + (49*t[52])/12 - t[53]/4 + 
       (43*t[54])/12 + (31*t[60])/6 + (47*t[61])/6 - (167*t[62])/12 - 
       (91*t[63])/4 + (64*t[64])/3 - (35*t[65])/36 - (55*t[66])/4 + 
       10*t[72] + 4*t[73] - 6*t[75] + t[81]/2 - t[82]/2 + (70*t[83])/3 + 
       (11*t[84])/12 + (7*t[85])/6 + (80*t[86])/3 - 6*t[87] - 3*t[88] - 
       (7*t[89])/3 - (43*t[100])/2) + HPL[{0, 1, 1}, 1 - v]*Omega2[u, v, w]*
      ((7*t[3])/4 - t[4]/2 + (45*t[5])/8 + (79*t[6])/8 + (9*t[7])/4 + 
       (67*t[8])/4 + (5*t[9])/8 - (27*t[10])/4 + (105*t[11])/8 + 
       (47*t[12])/8 + (13*t[13])/24 + (79*t[14])/6 - (17*t[15])/16 + t[25] - 
       t[26] - t[27] + t[29] - 2*t[36] + t[46] + (51*t[48])/8 + (7*t[49])/2 - 
       (25*t[50])/8 - (19*t[51])/4 + (25*t[52])/8 - (7*t[53])/2 + 
       (13*t[54])/8 + (49*t[60])/4 + (57*t[61])/4 - (69*t[62])/8 + 
       (81*t[63])/8 + (281*t[64])/8 - (127*t[65])/12 - (149*t[66])/12 - 
       2*t[69] + 2*t[72] + 2*t[75] + 4*t[79] - 2*t[80] - t[81] + 3*t[82] - 
       11*t[83] + (25*t[84])/4 + (17*t[85])/4 + 8*t[86] - (63*t[87])/4 - 
       (63*t[88])/8 - (13*t[89])/8 - 4*t[99] - (43*t[100])/2) + 
     HPL[{0, 1, 1}, 1 - w]*Omega2[w, u, v]*((-21*t[2])/2 - (7*t[3])/2 - 
       (9*t[4])/4 - (11*t[5])/8 - (3*t[6])/4 + (71*t[7])/4 - (25*t[8])/4 + 
       (71*t[9])/8 - (47*t[10])/8 + (27*t[11])/4 + (25*t[12])/4 - 
       (277*t[13])/72 - (97*t[14])/48 - (421*t[15])/48 - 2*t[20] + 2*t[22] - 
       4*t[28] + 2*t[29] - 3*t[30] + 2*t[31] + 2*t[36] + 2*t[37] + t[41] - 
       t[42] + t[43] + 4*t[44] - t[46] + 2*t[47] - 2*t[48] - (27*t[49])/8 - 
       (3*t[50])/2 + (15*t[51])/16 + (3*t[52])/2 + (27*t[53])/8 + 
       (9*t[54])/4 + (49*t[60])/4 + (57*t[61])/4 - (69*t[62])/8 + 
       (81*t[63])/8 + (281*t[64])/8 - (127*t[65])/12 - (149*t[66])/12 - 
       2*t[69] + 2*t[72] + 2*t[75] + 4*t[79] - 2*t[80] - t[81] + 3*t[82] - 
       11*t[83] + (25*t[84])/4 + (17*t[85])/4 + 8*t[86] - (63*t[87])/4 - 
       (63*t[88])/8 - (13*t[89])/8 - 4*t[99] - (43*t[100])/2) + 
     HPL[{1}, 1 - w]^2*Qep[w, v, u]*(12*t[2] - (136*t[3])/9 + (68*t[4])/9 + 
       (112*t[5])/9 - (176*t[6])/9 + (28*t[7])/3 - (460*t[8])/9 + 
       (76*t[9])/9 - (22*t[10])/9 + (308*t[11])/9 - (110*t[12])/9 + 
       (248*t[13])/27 + (91*t[14])/9 + (76*t[15])/9 - (64*t[20])/9 + 
       (32*t[24])/3 - (128*t[28])/9 - (16*t[29])/3 + (64*t[30])/9 - 
       (32*t[31])/3 - (64*t[33])/9 - (160*t[35])/3 + (64*t[44])/9 - 
       (112*t[48])/9 + (2*t[49])/9 + (176*t[50])/9 - t[51]/9 - 
       (176*t[52])/9 - (2*t[53])/9 - 20*t[54] - (172*t[60])/9 + 68*t[61] - 
       (358*t[62])/9 + (238*t[63])/9 + (262*t[64])/9 - (112*t[65])/9 - 
       (152*t[66])/3 - (16*t[73])/3 + 16*t[74] - (112*t[75])/3 + 16*t[79] + 
       (8*t[81])/3 - (8*t[82])/3 + (272*t[83])/9 - (124*t[85])/9 - 
       (176*t[86])/9 + (236*t[87])/9 + (118*t[88])/9 - (142*t[89])/9 - 
       (64*t[100])/3) + HPL[{1}, 1 - w]^2*Qep[u, v, w]*
      (-4*t[2] - (232*t[3])/9 + (68*t[4])/9 - (272*t[5])/9 - (152*t[6])/9 + 
       (140*t[7])/3 - (220*t[8])/9 + (556*t[9])/9 + (26*t[10])/9 + 
       (284*t[11])/9 + (130*t[12])/9 + (344*t[13])/27 + (307*t[14])/9 + 
       (164*t[15])/27 - (64*t[20])/9 - (32*t[24])/3 - (128*t[28])/9 - 
       (16*t[29])/3 - (32*t[30])/9 + (32*t[31])/3 - (64*t[33])/9 + 32*t[35] + 
       (64*t[44])/9 - (232*t[48])/9 + (2*t[49])/9 + (152*t[50])/9 - t[51]/9 - 
       (152*t[52])/9 - (2*t[53])/9 - (52*t[54])/3 + (68*t[60])/9 + 
       (188*t[61])/3 - (478*t[62])/9 + (454*t[63])/9 - (98*t[64])/9 - 
       (64*t[65])/9 - (664*t[66])/9 - (16*t[73])/3 - (16*t[74])/3 - 
       16*t[75] - (16*t[79])/3 + (8*t[81])/3 - (8*t[82])/3 + (368*t[83])/9 + 
       (16*t[84])/3 + (116*t[85])/9 + (400*t[86])/9 - (4*t[87])/9 - 
       (2*t[88])/9 - (118*t[89])/9 - (64*t[100])/3) + 
     HPL[{1}, 1 - v]^2*Qep[w, v, u]*((-32*t[3])/9 - (32*t[4])/9 - 
       (88*t[5])/9 + (4*t[6])/3 + 4*t[7] + (100*t[8])/9 + (40*t[9])/3 + 
       (140*t[10])/9 + (92*t[11])/9 - 40*t[12] + (160*t[13])/27 + 
       (314*t[14])/9 - (68*t[15])/9 + (64*t[25])/9 - (64*t[26])/9 - 
       (32*t[37])/3 - (8*t[46])/9 + (4*t[48])/3 + (88*t[49])/9 - 
       (52*t[50])/9 - (70*t[51])/9 + (52*t[52])/9 - (88*t[53])/9 + 
       (28*t[54])/3 - (32*t[59])/3 - (88*t[60])/9 + (248*t[61])/3 - 
       (436*t[62])/9 + (196*t[63])/9 + (196*t[64])/9 - (128*t[65])/9 - 
       (256*t[66])/3 - (64*t[69])/3 + (32*t[70])/3 - (32*t[71])/3 - 
       (32*t[73])/3 + 16*t[74] - 32*t[75] + 16*t[79] + (16*t[81])/3 - 
       (16*t[82])/3 + (368*t[83])/9 + (8*t[85])/9 + (16*t[86])/9 + 
       (152*t[87])/9 + (76*t[88])/9 - (76*t[89])/9 - (64*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      (t[1] - (3*t[2])/2 + (89*t[3])/12 - (3*t[4])/4 - (11*t[5])/6 - 
       (20*t[6])/3 + (17*t[7])/3 - (22*t[8])/3 + (25*t[9])/4 + 
       (197*t[10])/24 - (11*t[11])/12 - (37*t[12])/24 - (17*t[13])/6 - 
       (563*t[14])/144 - (145*t[15])/24 - (4*t[28])/3 + t[29]/3 + 
       (2*t[30])/3 - t[31] + t[32] - t[33] - 3*t[36] - 2*t[37] + t[39] - 
       t[40] - t[43]/2 + (5*t[44])/3 + t[45] + (3*t[46])/2 - 2*t[47] - 
       (7*t[48])/4 + (17*t[49])/8 + (23*t[50])/12 - (19*t[51])/16 - 
       (23*t[52])/12 - (17*t[53])/8 - (8*t[54])/3 + (7*t[60])/6 - 
       (85*t[61])/6 - (50*t[62])/3 + 2*t[63] + (103*t[64])/12 + 
       (70*t[65])/9 + t[66]/2 - 2*t[69] + 4*t[72] - 4*t[73] + 10*t[79] + 
       4*t[80] + 4*t[82] - (20*t[83])/3 + (5*t[84])/3 - (7*t[85])/3 + 
       (68*t[86])/3 - 5*t[87] - (5*t[88])/2 - (73*t[89])/12 - 21*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (4*t[1] - (23*t[2])/4 - 10*t[3] + 33*t[4] - (25*t[5])/4 + 
       (457*t[6])/32 + (151*t[7])/8 + (357*t[8])/8 + (59*t[9])/16 + 
       (35*t[10])/4 + (1583*t[11])/32 + (55*t[12])/8 + (1499*t[13])/72 + 
       (1579*t[14])/96 + (4481*t[15])/288 + 4*t[27] + 3*t[28] + 
       (19*t[29])/4 + (3*t[30])/2 + 4*t[31] + 4*t[32] - 4*t[33] - 4*t[34] - 
       6*t[35] + 3*t[36] + 2*t[38] + (23*t[39])/4 - (3*t[40])/2 + 2*t[41] - 
       2*t[42] + 2*t[43] - (59*t[44])/4 + (3*t[46])/2 + 4*t[47] + 
       (219*t[48])/32 + 2*t[49] - (205*t[50])/32 - (7*t[51])/8 + 
       (77*t[52])/32 + 6*t[53] - (87*t[54])/32 + 2*t[59] + (51*t[60])/16 + 
       (1899*t[61])/16 - (361*t[62])/32 - (583*t[63])/32 - (257*t[64])/32 - 
       (29*t[65])/48 - (1423*t[66])/48 - 8*t[72] + 9*t[73] + 9*t[75] + 
       25*t[76] + 7*t[77] - 38*t[78] - 15*t[79] + 8*t[80] - t[81]/2 - 
       12*t[82] - 27*t[83] - (377*t[84])/16 - (265*t[85])/16 - 61*t[86] - 
       (73*t[87])/16 - (73*t[88])/32 + (977*t[89])/32 + 12*t[96] + 8*t[97] + 
       114*t[98] - 114*t[99] - 21*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*(4*t[1] - (41*t[2])/4 - 
       15*t[3] + (163*t[4])/16 + (165*t[5])/8 + (99*t[6])/4 - (57*t[7])/4 + 
       (157*t[8])/4 - (187*t[9])/8 + (617*t[10])/32 + (27*t[11])/4 - 
       (311*t[12])/32 - (257*t[13])/144 + (2221*t[14])/64 + (763*t[15])/96 - 
       4*t[27] + 2*t[28] + 4*t[29] - 4*t[30] + 4*t[31] - 4*t[34] + 6*t[35] + 
       2*t[38] + 3*t[39] + 2*t[41] - 2*t[42] + 2*t[43] - t[44] - 
       (3*t[46])/2 + 22*t[48] + (795*t[49])/32 - 32*t[50] - (543*t[51])/64 + 
       28*t[52] - (539*t[53])/32 + (113*t[54])/16 + 2*t[59] + (51*t[60])/16 + 
       (1899*t[61])/16 - (361*t[62])/32 - (583*t[63])/32 - (257*t[64])/32 - 
       (29*t[65])/48 - (1423*t[66])/48 - 8*t[72] + 9*t[73] + 9*t[75] + 
       25*t[76] + 7*t[77] - 38*t[78] - 15*t[79] + 8*t[80] - t[81]/2 - 
       12*t[82] - 27*t[83] - (377*t[84])/16 - (265*t[85])/16 - 61*t[86] - 
       (73*t[87])/16 - (73*t[88])/32 + (977*t[89])/32 + 12*t[96] + 8*t[97] + 
       114*t[98] - 114*t[99] - 21*t[100]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*(36*t[2] + 12*t[3] + 15*t[4] + (57*t[5])/4 + 
       24*t[6] - (9*t[7])/2 + (75*t[8])/2 - (21*t[9])/4 - 30*t[10] + 
       (39*t[11])/2 + (9*t[12])/4 + (127*t[13])/6 + (55*t[14])/2 + 
       (211*t[15])/8 + 6*t[20] - 6*t[22] - 6*t[29] + 6*t[35] - 6*t[37] - 
       3*t[41] + 3*t[42] - 6*t[47] + 3*t[48] + (3*t[49])/2 - 3*t[50] - 
       (3*t[51])/4 + 3*t[52] - (3*t[53])/2 + (33*t[60])/2 + (93*t[61])/2 + 
       45*t[62] - 6*t[63] - (687*t[64])/4 + (29*t[65])/2 - (13*t[66])/2 + 
       6*t[69] - 6*t[75] + 6*t[80] - 3*t[81] + 3*t[82] + 3*t[83] + 3*t[84] + 
       (3*t[85])/2 - 36*t[86] - (3*t[87])/2 - (3*t[88])/4 - (21*t[89])/4 + 
       12*t[99] - 21*t[100]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-6*t[3] + 18*t[4] - (3*t[5])/4 + (21*t[6])/4 - (3*t[7])/2 + 
       (21*t[8])/2 + (39*t[9])/4 - 6*t[10] - (21*t[11])/4 - (9*t[12])/4 + 
       (19*t[13])/2 - (3*t[14])/2 + (43*t[15])/8 - 3*t[25] + 3*t[26] + 
       6*t[36] - 3*t[46] + (9*t[48])/4 - (21*t[49])/2 - (15*t[50])/4 + 
       (15*t[51])/2 + (15*t[52])/4 + (21*t[53])/2 + (15*t[54])/4 + 
       (33*t[60])/2 + (93*t[61])/2 + 45*t[62] - 6*t[63] - (687*t[64])/4 + 
       (29*t[65])/2 - (13*t[66])/2 + 6*t[69] - 6*t[75] + 6*t[80] - 3*t[81] + 
       3*t[82] + 3*t[83] + 3*t[84] + (3*t[85])/2 - 36*t[86] - (3*t[87])/2 - 
       (3*t[88])/4 - (21*t[89])/4 + 12*t[99] - 21*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-58*t[1])/9 + (7*t[2])/72 + 17*t[3] - (10517*t[4])/288 + 
       (15*t[5])/4 - 28*t[6] - (209*t[7])/3 + (263*t[8])/36 - 
       (2921*t[9])/72 + (1481*t[10])/576 - (793*t[11])/12 - 
       (8987*t[12])/576 - (45425*t[13])/2592 - (16243*t[14])/1152 - 
       (6779*t[15])/1728 + 4*t[25] - 3*t[26] + (10*t[27])/9 - (14*t[28])/9 - 
       (47*t[29])/18 + (71*t[30])/18 + (77*t[31])/9 - (14*t[32])/3 + 
       (14*t[33])/3 + (55*t[34])/9 + 15*t[35] - (19*t[36])/6 - (14*t[37])/3 - 
       (73*t[38])/18 - (37*t[39])/6 + (19*t[40])/3 - (55*t[41])/18 + 
       (55*t[42])/18 - (8*t[43])/9 - (109*t[44])/18 + 3*t[45] + (7*t[46])/6 - 
       (32*t[47])/3 - (319*t[48])/36 - (717*t[49])/64 - (799*t[50])/36 + 
       (217*t[51])/128 + (443*t[52])/36 - (7691*t[53])/576 + 
       (7061*t[54])/288 - (4*t[58])/3 - t[59]/18 + (1371*t[60])/32 - 
       (733*t[61])/32 - (24985*t[62])/576 + (37001*t[63])/576 + 
       (51079*t[64])/576 - (27053*t[65])/864 + (52601*t[66])/864 - t[68] - 
       2*t[69] + 4*t[70] - 4*t[71] + (182*t[72])/9 - (25*t[73])/6 - 
       (127*t[75])/6 - (593*t[76])/18 - (107*t[77])/18 + (1045*t[78])/18 - 
       (52*t[79])/3 + (10*t[80])/9 - (89*t[81])/18 + (89*t[82])/12 + 
       (157*t[83])/3 + (3943*t[84])/288 - (2437*t[85])/288 + (931*t[86])/9 - 
       (349*t[87])/288 + (8291*t[88])/576 - (20887*t[89])/576 + 2*t[93] - 
       4*t[95] - 13*t[96] - (38*t[97])/9 - (533*t[98])/3 + (689*t[99])/3 - 
       (125*t[100])/6) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2*((23*t[1])/12 - (85*t[2])/12 + 12*t[3] + 
       (1891*t[4])/96 + (89*t[5])/24 - (1073*t[6])/48 - (19*t[7])/2 - 
       (121*t[8])/4 - (105*t[9])/8 - (901*t[10])/64 + (227*t[11])/48 - 
       (1177*t[12])/64 + (12655*t[13])/864 - (2241*t[14])/128 - 
       (6343*t[15])/576 - (11*t[26])/2 - t[27] - (16*t[28])/3 + 3*t[29] - 
       t[30]/6 + (19*t[31])/3 + (5*t[34])/6 + (32*t[35])/3 + (23*t[36])/6 - 
       (11*t[37])/3 + (25*t[38])/6 - (19*t[39])/6 + (17*t[40])/3 - 
       (5*t[41])/12 + (5*t[42])/12 + t[43]/2 + (5*t[44])/3 - 2*t[45] - 
       (13*t[46])/4 + 4*t[47] - (619*t[48])/48 + (2579*t[49])/192 - 
       (193*t[50])/16 - (703*t[51])/384 + (91*t[52])/48 - (2195*t[53])/192 - 
       (881*t[54])/96 - (11*t[58])/6 - (9*t[59])/4 + (3935*t[60])/96 - 
       (517*t[61])/96 - (1295*t[62])/64 + (1407*t[63])/64 + (729*t[64])/64 - 
       (6529*t[65])/288 - (361*t[66])/96 - 2*t[72] + (13*t[73])/3 - 2*t[74] - 
       (17*t[75])/3 + (103*t[76])/6 - t[77]/3 - 15*t[78] + 2*t[79] + 
       (29*t[80])/3 + (59*t[81])/12 + (2*t[82])/3 + (29*t[83])/3 - 
       (821*t[84])/96 + (1843*t[85])/96 + 22*t[86] - (3233*t[87])/96 - 
       (3233*t[88])/192 - (225*t[89])/64 + 3*t[96] + (23*t[97])/6 + 
       116*t[98] - 116*t[99] - (41*t[100])/2) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*((-5*t[1])/6 + (2*t[2])/3 + 
       (21*t[3])/16 - (31*t[4])/16 - (397*t[5])/96 - (11*t[6])/4 + 
       (337*t[7])/48 - (59*t[8])/16 + (515*t[9])/96 - (261*t[10])/32 + 
       (169*t[11])/16 + (319*t[12])/48 + (5509*t[13])/864 - 
       (1739*t[14])/576 - (175*t[15])/576 + t[26]/2 + t[27]/3 - (7*t[28])/6 - 
       (7*t[29])/3 + (4*t[30])/3 - (5*t[31])/6 + t[34]/3 + (3*t[36])/2 - 
       (2*t[38])/3 - t[39] + t[40]/2 - t[41]/6 + t[42]/6 - t[43]/6 + 
       (4*t[44])/3 - (9*t[46])/8 - (17*t[48])/6 - (451*t[49])/96 + 
       (97*t[50])/24 + (191*t[51])/64 - (89*t[52])/24 + (129*t[53])/32 - 
       (75*t[54])/16 + t[59]/12 - (245*t[60])/48 - (289*t[61])/48 - 
       (211*t[62])/96 + (43*t[63])/96 - (121*t[64])/32 + (191*t[65])/18 - 
       (25*t[66])/72 - (3*t[69])/2 + (7*t[72])/6 - (5*t[73])/2 + t[75]/2 - 
       (7*t[76])/3 - (5*t[77])/6 + (8*t[78])/3 + (7*t[79])/2 - t[80]/6 - 
       (53*t[81])/24 + (19*t[82])/8 + (65*t[83])/12 + (9*t[84])/4 + 
       (59*t[85])/48 + (91*t[86])/6 + (337*t[87])/48 + (337*t[88])/96 - 
       (95*t[89])/32 - t[96] - (2*t[97])/3 - 8*t[98] + 15*t[99] - 
       (163*t[100])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((-43*t[1])/12 - (47*t[2])/6 - (61*t[3])/6 + 
       (1301*t[4])/36 + (2431*t[5])/72 - t[6]/24 + (53*t[7])/36 + 
       (77*t[8])/36 - (421*t[9])/72 + (745*t[10])/18 + (509*t[11])/24 - 
       (69*t[12])/8 + (869*t[13])/72 + (20141*t[14])/432 + (9091*t[15])/432 + 
       7*t[25] - (9*t[26])/2 + (2*t[27])/3 + 8*t[28] - (7*t[29])/3 - 
       2*t[30] - (28*t[31])/3 - t[32]/3 + t[33]/3 - t[34]/6 - 6*t[35] + 
       3*t[36] + 3*t[37] - (8*t[38])/3 + (10*t[39])/3 + (15*t[40])/2 + 
       t[41]/12 - t[42]/12 + (31*t[43])/12 - (19*t[44])/3 + 6*t[45] - 
       (13*t[46])/2 - (37*t[47])/3 + (95*t[48])/8 + (8*t[49])/9 - 
       (131*t[50])/24 + (199*t[51])/48 - (113*t[52])/24 - (289*t[53])/18 - 
       (613*t[54])/72 - t[58]/2 + (19*t[59])/3 + (1249*t[60])/18 + 
       (1504*t[61])/9 - (2369*t[62])/36 + (87*t[63])/4 - (800*t[64])/9 + 
       (371*t[65])/54 - (33*t[66])/4 + t[68] + (17*t[69])/3 + 6*t[70] - 
       6*t[71] + (56*t[72])/3 - 12*t[73] - 5*t[74] + (86*t[75])/3 - 
       (59*t[76])/6 + (14*t[77])/3 + (56*t[78])/3 - 14*t[79] - (29*t[80])/3 - 
       (17*t[81])/6 - 3*t[82] + (119*t[83])/18 + (131*t[84])/9 - 
       (581*t[85])/18 - (325*t[86])/9 - (125*t[87])/6 + (205*t[88])/12 - 
       (1037*t[89])/72 + 2*t[93] - 6*t[95] - 4*t[96] + (16*t[97])/3 - 
       68*t[98] + 82*t[99] - (121*t[100])/6) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-23*t[1])/36 - (97*t[2])/72 + (2369*t[3])/288 - (433*t[4])/48 + 
       (997*t[5])/144 - (5717*t[6])/1152 + (2167*t[7])/96 + (431*t[8])/32 + 
       (3181*t[9])/576 - (6907*t[10])/288 + (45325*t[11])/1152 + 
       (1175*t[12])/144 + (14785*t[13])/1296 - (3611*t[14])/1152 - 
       (16915*t[15])/10368 - t[16]/2 - 2*t[19] + 2*t[21] - t[22]/2 - 
       2*t[23] + (20*t[25])/9 - (13*t[26])/18 + (11*t[27])/18 - 2*t[28] + 
       (31*t[29])/36 + (7*t[30])/24 + (4*t[31])/9 + (10*t[32])/9 - 
       (10*t[33])/9 - (47*t[34])/18 - 3*t[35] + (49*t[36])/12 - t[37]/6 - 
       (25*t[38])/36 - (43*t[39])/36 + (65*t[40])/24 - (4*t[41])/9 + 
       (4*t[42])/9 - (5*t[43])/72 + (121*t[44])/144 + (7*t[45])/2 - 
       (31*t[46])/36 + (265*t[47])/36 + (1451*t[48])/384 - (119*t[49])/288 - 
       (3983*t[50])/1152 - (85*t[51])/576 + (517*t[52])/384 + 
       (109*t[53])/96 - (4085*t[54])/1152 - (185*t[59])/72 + 
       (2237*t[60])/576 + (35201*t[61])/576 - (45775*t[62])/1152 + 
       (359*t[63])/128 + (3825*t[64])/128 + (14987*t[65])/576 - 
       (51325*t[66])/1728 - (61*t[69])/6 + (11*t[70])/6 - (11*t[71])/6 - 
       (19*t[72])/18 + (7*t[73])/12 - (5*t[74])/2 - (47*t[75])/12 + 
       (91*t[76])/36 - (26*t[77])/9 - (175*t[78])/18 + (65*t[79])/6 + 
       (61*t[80])/18 - (101*t[81])/36 + (109*t[82])/24 - (51*t[83])/4 - 
       (1915*t[84])/576 + (985*t[85])/576 + (229*t[86])/18 + 
       (775*t[87])/192 + (871*t[88])/384 + (1367*t[89])/128 + (11*t[96])/6 + 
       (35*t[97])/36 + (8*t[98])/3 - (2*t[99])/3 - (239*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      (-t[1]/3 + (79*t[2])/24 + (15*t[3])/4 - 3*t[4] - (113*t[5])/32 + 
       (259*t[6])/96 - (49*t[7])/16 + (683*t[8])/48 - (163*t[9])/96 - 
       (85*t[10])/12 - (223*t[11])/32 - (251*t[12])/96 - (4445*t[13])/864 - 
       (323*t[14])/288 - (2623*t[15])/1728 - t[20]/2 + t[22]/2 - t[27]/3 - 
       (4*t[28])/3 + (7*t[29])/4 - (7*t[30])/3 + (2*t[31])/3 + t[32]/6 - 
       t[33]/6 + t[34]/3 + 2*t[35] - t[37]/2 - t[38]/6 - t[39]/6 - t[40]/4 - 
       (5*t[41])/12 + (5*t[42])/12 - t[43]/6 + (13*t[44])/12 - t[46] - 
       (5*t[47])/6 + (73*t[48])/32 + (31*t[49])/48 - (313*t[50])/96 - 
       (47*t[51])/96 + (115*t[52])/32 - (21*t[53])/16 + (353*t[54])/96 + 
       t[59]/12 - (181*t[60])/48 - (329*t[61])/48 - (89*t[62])/32 - 
       (413*t[63])/96 - (275*t[64])/96 + (35*t[65])/3 - (133*t[66])/72 - 
       t[69]/2 + (13*t[72])/6 - (3*t[73])/2 + (3*t[75])/2 - (7*t[76])/3 - 
       (5*t[77])/6 + (8*t[78])/3 + (5*t[79])/2 - t[80]/6 - (53*t[81])/24 + 
       (19*t[82])/8 + (79*t[83])/12 + (31*t[84])/12 + (25*t[85])/16 + 
       (35*t[86])/2 + (241*t[87])/48 + (241*t[88])/96 - (277*t[89])/96 - 
       t[96] - (2*t[97])/3 - 8*t[98] + 15*t[99] - (159*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w]*
      ((-25*t[1])/9 - (32*t[2])/9 - 5*t[3] - (71*t[4])/2 + (863*t[5])/96 - 
       (11*t[6])/24 + (655*t[7])/144 + (421*t[8])/48 - (2773*t[9])/288 + 
       (427*t[10])/144 + (109*t[11])/144 + (6887*t[12])/288 + 
       (403*t[13])/324 - (2975*t[14])/864 + (6311*t[15])/576 + t[16]/6 - 
       (2*t[19])/9 + (7*t[25])/3 + (20*t[26])/9 - (2*t[28])/3 - 
       (16*t[34])/9 + (2*t[35])/3 - (7*t[36])/12 + (37*t[37])/36 - 
       (11*t[38])/3 + (2*t[39])/9 + (2*t[40])/3 + (8*t[41])/9 - (8*t[42])/9 + 
       (2*t[45])/3 + (10*t[46])/9 - (4*t[47])/3 + (283*t[48])/72 - 
       (553*t[49])/72 - (389*t[50])/72 + (221*t[51])/36 + (29*t[52])/8 + 
       (359*t[53])/24 + (685*t[54])/72 + (23*t[59])/27 - (719*t[60])/24 + 
       (593*t[61])/12 - (4595*t[62])/144 - (695*t[63])/48 + (2783*t[64])/72 + 
       (159*t[65])/8 + (295*t[66])/54 - (3*t[69])/2 + t[70] - t[71] + 
       (23*t[73])/12 - (7*t[74])/3 + (65*t[75])/12 + 10*t[76] + (4*t[77])/9 - 
       (34*t[78])/3 - (55*t[79])/12 + (80*t[80])/9 - (101*t[81])/18 + 
       (7*t[82])/18 - (23*t[83])/18 - (443*t[84])/24 - (641*t[85])/24 + 
       (475*t[86])/36 + (1841*t[87])/72 + (1153*t[88])/144 - (127*t[89])/12 + 
       (22*t[96])/3 + (44*t[97])/9 + (136*t[98])/3 - 46*t[99] - 
       (233*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w]*((-131*t[1])/48 - (145*t[2])/32 + (43*t[3])/24 - 
       (1933*t[4])/192 + (61*t[5])/6 - (271*t[6])/32 - (47*t[7])/12 - 
       (133*t[8])/24 - (409*t[9])/48 - (117*t[10])/128 + (17*t[11])/6 + 
       (1453*t[12])/384 + (1543*t[13])/1728 - (1485*t[14])/256 + 
       (685*t[15])/384 + t[25]/6 + (17*t[26])/8 - t[27]/6 - t[28]/6 + 
       t[29]/6 - (5*t[30])/12 - t[31]/3 - (5*t[34])/8 + (5*t[35])/4 + 
       2*t[36] + t[37]/4 - (7*t[38])/3 + t[39]/3 + (23*t[40])/12 + 
       (5*t[41])/16 - (5*t[42])/16 + t[43]/12 - t[44]/6 - (3*t[45])/2 - 
       (83*t[46])/48 + 3*t[47] - (121*t[48])/96 + (193*t[49])/128 - 
       (295*t[50])/32 + (2161*t[51])/768 + (139*t[52])/32 + (557*t[53])/384 + 
       (305*t[54])/192 - (17*t[58])/24 + (39*t[59])/16 - (3325*t[60])/192 + 
       (5257*t[61])/192 - (4541*t[62])/384 + (6565*t[63])/384 + 
       (3389*t[64])/128 + (1295*t[65])/576 + (2461*t[66])/576 + 
       (13*t[69])/4 + (11*t[72])/12 - (19*t[73])/8 - (5*t[74])/4 - 
       (15*t[75])/8 + (271*t[76])/24 + (23*t[77])/24 - (23*t[78])/2 + 
       t[79]/2 + (55*t[80])/6 - (23*t[81])/48 - (7*t[82])/48 + 
       (185*t[83])/12 - (2149*t[84])/192 - (863*t[85])/192 - (67*t[86])/12 + 
       (1163*t[87])/192 + (955*t[88])/384 - (319*t[89])/384 + 4*t[96] + 
       (27*t[97])/8 + (291*t[98])/4 - (291*t[99])/4 - (153*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v]*
      ((31*t[1])/9 - (143*t[2])/108 + (569*t[3])/36 - (61*t[4])/36 + 
       (4087*t[5])/288 - (409*t[6])/48 + (569*t[7])/144 + (6821*t[8])/144 - 
       (3077*t[9])/96 + (565*t[10])/144 + (113*t[11])/6 + (2765*t[12])/288 - 
       (277*t[13])/648 - (4963*t[14])/864 + (37433*t[15])/5184 + 
       (4*t[19])/3 + (7*t[20])/3 + (8*t[23])/9 + 2*t[24] + (83*t[28])/36 - 
       (85*t[29])/36 - (23*t[30])/18 - (11*t[31])/6 + (95*t[32])/18 - 
       (14*t[33])/3 - (40*t[34])/9 + (2*t[35])/3 + 4*t[36] - (8*t[37])/3 + 
       (14*t[38])/9 + (167*t[39])/36 - (37*t[40])/12 + (17*t[41])/9 - 
       (17*t[42])/9 + (2*t[43])/3 - (11*t[44])/18 - t[46]/3 + (22*t[47])/9 + 
       (1115*t[48])/144 - (53*t[49])/72 - (1117*t[50])/144 + (43*t[51])/48 + 
       (223*t[52])/48 + (167*t[53])/24 - (151*t[54])/144 + (23*t[59])/27 - 
       (2077*t[60])/72 + (877*t[61])/18 - (1555*t[62])/48 - (295*t[63])/16 + 
       (473*t[64])/12 + (4483*t[65])/216 + (455*t[66])/108 - (2*t[69])/3 + 
       t[70] - t[71] + (5*t[72])/6 + (11*t[73])/4 - (7*t[74])/3 + 
       (25*t[75])/4 + 10*t[76] + (4*t[77])/9 - (34*t[78])/3 - (65*t[79])/12 + 
       (80*t[80])/9 - (101*t[81])/18 + (7*t[82])/18 - (11*t[83])/36 - 
       (1309*t[84])/72 - (1903*t[85])/72 + (545*t[86])/36 + (1721*t[87])/72 + 
       (1033*t[88])/144 - (757*t[89])/72 + (22*t[96])/3 + (44*t[97])/9 + 
       (136*t[98])/3 - 46*t[99] - 19*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*((-11*t[1])/6 - t[2] - 
       (35*t[3])/4 + 23*t[4] - (161*t[5])/48 + (487*t[6])/48 + (35*t[7])/8 + 
       (197*t[8])/24 + (215*t[9])/16 - (425*t[10])/24 + (199*t[11])/16 + 
       (359*t[12])/48 + (47*t[13])/3 + (2285*t[14])/144 + (1051*t[15])/288 + 
       t[16]/3 - t[20] - t[21] + t[23] + (65*t[25])/6 - (19*t[26])/2 + 
       4*t[28] + (13*t[31])/3 - 5*t[35] + (11*t[36])/6 + (14*t[37])/3 - 
       (4*t[38])/3 + 4*t[39] - 4*t[40] - t[41]/2 + t[42]/2 + (2*t[43])/3 + 
       3*t[45] + (3*t[46])/2 - 6*t[47] + (109*t[48])/16 - (91*t[49])/12 - 
       (99*t[50])/16 + (77*t[51])/48 + (83*t[52])/16 + (85*t[53])/12 + 
       (169*t[54])/48 + (23*t[59])/6 + (151*t[60])/8 + (487*t[61])/24 + 
       (1231*t[62])/48 - (355*t[63])/48 - (443*t[64])/16 + (707*t[65])/36 - 
       (505*t[66])/12 + (2*t[67])/3 + (13*t[69])/2 - (3*t[70])/2 + 
       (3*t[71])/2 - 2*t[72] - 3*t[73] - (4*t[74])/3 - (3*t[75])/2 + t[76] + 
       4*t[77] + 2*t[78] + (7*t[79])/2 - (21*t[80])/2 + (65*t[81])/12 - 
       (61*t[82])/12 + (11*t[83])/3 + (47*t[84])/4 + (53*t[85])/24 - 
       (245*t[86])/6 - (17*t[87])/24 + (55*t[88])/48 + (721*t[89])/48 + 
       t[95]/3 + 12*t[98] - 17*t[99] - 19*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      (t[1] - 8*t[2] + t[3]/4 + (19*t[4])/3 - (289*t[5])/24 - 11*t[6] + 
       (163*t[7])/12 - (283*t[8])/12 + (349*t[9])/24 - t[10]/6 + 
       (47*t[11])/3 - (27*t[12])/8 + (119*t[13])/36 + (247*t[14])/36 - 
       (1903*t[15])/144 + (4*t[20])/3 + t[22] + 4*t[28] + (11*t[29])/3 - 
       (7*t[31])/3 + t[32] + t[33]/3 - 2*t[35] - 2*t[36] - t[37] + t[41]/2 - 
       t[42]/2 - t[43]/6 - 3*t[44] + t[47] - (25*t[48])/6 + (41*t[49])/12 + 
       (35*t[50])/6 - (37*t[51])/24 - (35*t[52])/6 - (41*t[53])/12 - 
       8*t[54] - t[59]/2 + 34*t[60] + (107*t[61])/12 - (599*t[62])/24 - 
       (635*t[63])/24 + (197*t[64])/24 - (307*t[65])/9 - (1561*t[66])/36 + 
       2*t[69] + 2*t[72] + 3*t[73] + 2*t[74] + 4*t[75] - 5*t[79] + 3*t[80] + 
       (3*t[81])/2 + t[82]/6 - 3*t[83] + (13*t[84])/6 + (13*t[85])/12 + 
       (83*t[86])/3 - (289*t[87])/12 - (289*t[88])/24 - (83*t[89])/6 - 
       2*t[99] - 19*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-t[1] - (23*t[2])/4 - (33*t[3])/4 + 
       (55*t[4])/2 + (69*t[5])/8 + (109*t[6])/32 + (147*t[7])/8 + 
       (133*t[8])/8 - (447*t[9])/16 + 20*t[10] - (661*t[11])/32 + 
       (15*t[12])/4 - (611*t[13])/36 + (187*t[14])/96 + (4187*t[15])/288 - 
       t[16]/2 - 2*t[25] + 6*t[26] + 4*t[27] + 6*t[28] + (19*t[29])/4 + 
       (15*t[30])/2 + 4*t[31] + 4*t[32] - 4*t[33] - 4*t[34] - 9*t[35] + 
       14*t[36] + 9*t[37] + 2*t[38] + (23*t[39])/4 - (3*t[40])/2 + 2*t[41] - 
       2*t[42] + t[43]/2 - (35*t[44])/4 + 3*t[45] - 19*t[46] - 2*t[47] + 
       (111*t[48])/32 + (49*t[49])/4 + (183*t[50])/32 + (69*t[51])/8 - 
       (311*t[52])/32 - (17*t[53])/4 - (331*t[54])/32 + (21*t[59])/2 - 
       (585*t[60])/16 + (1031*t[61])/16 - (329*t[62])/32 + (3697*t[63])/32 + 
       (507*t[64])/32 - (1285*t[65])/48 + (4865*t[66])/48 + 2*t[67] + 
       3*t[69] - 12*t[70] + 12*t[71] - 5*t[72] - 31*t[73] - 22*t[74] + 
       73*t[75] + 25*t[76] + 10*t[77] - 35*t[78] - 23*t[79] - t[80] - 
       (9*t[81])/2 - 5*t[82] - (13*t[83])/2 - (477*t[84])/16 - 
       (477*t[85])/16 - 53*t[86] + (195*t[87])/16 + (195*t[88])/32 + 
       (781*t[89])/32 + 12*t[96] + 8*t[97] + 114*t[98] - 120*t[99] - 
       18*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*(4*t[1] - (97*t[2])/2 - 43*t[3] - 
       (93*t[4])/16 - (57*t[5])/4 - (3*t[6])/2 + (19*t[7])/4 + (227*t[8])/4 - 
       (147*t[9])/4 + (1649*t[10])/32 - (125*t[11])/4 + (181*t[12])/32 - 
       (6167*t[13])/144 + (4711*t[14])/192 + (1625*t[15])/96 - 5*t[18] - 
       6*t[20] + 3*t[22] - t[27] - 16*t[28] - 5*t[29] + 5*t[30] + 4*t[31] + 
       12*t[32] - 12*t[33] - 7*t[34] + 13*t[35] - 3*t[36] + 3*t[37] + 
       2*t[38] + 6*t[39] + (7*t[41])/2 - (7*t[42])/2 + t[43]/2 + 5*t[44] - 
       (3*t[46])/2 + 3*t[47] + 2*t[48] + (547*t[49])/32 - (39*t[50])/2 - 
       (487*t[51])/64 + (31*t[52])/2 - (291*t[53])/32 + (65*t[54])/16 + 
       (21*t[59])/2 - (585*t[60])/16 + (1031*t[61])/16 - (329*t[62])/32 + 
       (3697*t[63])/32 + (507*t[64])/32 - (1285*t[65])/48 + (4865*t[66])/48 + 
       2*t[67] + 3*t[69] - 12*t[70] + 12*t[71] - 5*t[72] - 31*t[73] - 
       22*t[74] + 73*t[75] + 25*t[76] + 10*t[77] - 35*t[78] - 23*t[79] - 
       t[80] - (9*t[81])/2 - 5*t[82] - (13*t[83])/2 - (477*t[84])/16 - 
       (477*t[85])/16 - 53*t[86] + (195*t[87])/16 + (195*t[88])/32 + 
       (781*t[89])/32 + 12*t[96] + 8*t[97] + 114*t[98] - 120*t[99] - 
       18*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((7*t[1])/12 - (737*t[2])/96 - (83*t[3])/32 - (79*t[4])/48 + 
       (131*t[5])/24 + (575*t[6])/192 + (175*t[7])/96 + (673*t[8])/24 - 
       (359*t[9])/32 + (503*t[10])/96 + (599*t[11])/64 + (515*t[12])/96 + 
       (1327*t[13])/864 + (2375*t[14])/288 + (421*t[15])/54 + (37*t[20])/12 - 
       t[22]/4 - (37*t[28])/24 - (167*t[29])/24 - (53*t[30])/24 + 
       (7*t[31])/4 + (61*t[32])/24 - (79*t[33])/24 + (8*t[34])/3 + 
       (47*t[35])/4 + t[36] - (7*t[38])/12 + (47*t[39])/32 - (247*t[40])/96 + 
       (17*t[41])/24 - (17*t[42])/24 + (3*t[43])/4 - (229*t[44])/96 - 
       (49*t[45])/12 + (13*t[47])/3 + (243*t[48])/64 + (299*t[49])/96 - 
       (713*t[50])/192 - (343*t[51])/192 + (387*t[52])/64 - (25*t[53])/32 - 
       (27*t[54])/64 + (29*t[59])/12 - (1877*t[60])/96 + (1117*t[61])/48 - 
       (685*t[62])/64 + (1009*t[63])/64 + (5159*t[64])/192 + (101*t[65])/32 + 
       (167*t[66])/32 + 3*t[69] + t[72] - (25*t[73])/8 - (5*t[74])/4 - 
       (13*t[75])/8 + (19*t[76])/2 + (13*t[77])/24 - (29*t[78])/3 + 
       (3*t[79])/4 + (109*t[80])/12 - (55*t[81])/48 + (11*t[82])/48 + 
       (379*t[83])/24 - (325*t[84])/32 - (39*t[85])/8 - (11*t[86])/3 + 
       (785*t[87])/96 + (227*t[88])/64 - (355*t[89])/192 + (7*t[96])/2 + 
       (35*t[97])/12 + (245*t[98])/4 - (245*t[99])/4 - (139*t[100])/8) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*
      (t[1] + (15*t[2])/8 + (7*t[3])/8 - (11*t[4])/12 + t[5]/12 - 3*t[6] - 
       (5*t[7])/8 - (67*t[8])/24 + (193*t[9])/24 + (15*t[10])/4 - 
       (113*t[11])/24 - (9*t[12])/4 - (3*t[13])/16 + (415*t[14])/144 - 
       (173*t[15])/72 - (2*t[20])/3 - t[24] + t[28]/6 - t[30]/3 - 
       (13*t[31])/6 - t[32] + t[33]/3 - t[35] - 3*t[36] - (5*t[37])/2 - 
       t[41]/4 + t[42]/4 - (25*t[43])/12 - (5*t[44])/6 - t[47]/2 - 
       (13*t[48])/24 + (23*t[49])/8 + (37*t[50])/24 - (77*t[51])/48 - 
       (37*t[52])/24 - (23*t[53])/8 - (23*t[54])/24 + (21*t[60])/4 - 
       (27*t[61])/4 - (40*t[62])/3 + (35*t[63])/12 - (163*t[64])/12 + 
       (17*t[65])/2 - (197*t[66])/36 + 2*t[72] - 4*t[73] + t[74] - 
       (3*t[75])/2 + t[77] + t[78] + (39*t[79])/4 + (5*t[80])/2 + t[81] + 
       (17*t[82])/6 + (7*t[83])/12 + (19*t[84])/6 - (5*t[85])/6 + 
       (63*t[86])/4 - (21*t[87])/2 - (21*t[88])/4 - (169*t[89])/24 - 
       17*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      ((27*t[2])/4 - t[3] - t[4]/2 - (53*t[5])/8 - (13*t[6])/2 + 
       (35*t[7])/2 - (17*t[8])/2 + (105*t[9])/8 - 8*t[10] + (41*t[11])/2 + 
       (13*t[12])/8 + (14*t[13])/3 + (53*t[14])/6 + (97*t[15])/16 - t[20] + 
       t[22] - 2*t[28] + t[29] - t[30] + t[32] - t[33] + t[36] - t[37] - 
       t[41]/2 + t[42]/2 + t[43] + 3*t[44] + t[46]/2 - t[47] - (37*t[48])/4 - 
       t[49] + (35*t[50])/4 + (7*t[51])/8 - (35*t[52])/4 + t[53] - 
       (29*t[54])/4 + (19*t[60])/4 + (93*t[61])/4 - (129*t[62])/4 - 
       (3*t[63])/4 - (95*t[64])/8 - (35*t[65])/4 - (341*t[66])/12 - t[69] + 
       t[72] - 3*t[75] - t[77] - 4*t[79] + 5*t[80] - t[81]/2 - (5*t[82])/2 + 
       (23*t[83])/2 + t[84] - (5*t[85])/4 + 30*t[86] + (5*t[87])/4 + 
       (5*t[88])/8 - (109*t[89])/8 + 2*t[99] - 17*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      (-2*t[3] + (13*t[4])/2 - (65*t[5])/8 - (7*t[6])/8 + (11*t[7])/2 + 
       (9*t[8])/2 + (47*t[9])/8 - (23*t[10])/4 + (57*t[11])/8 - 
       (21*t[12])/8 - (7*t[13])/9 + (131*t[14])/12 - (175*t[15])/48 + t[25] - 
       t[26] - t[27] - t[28] - t[31] + 2*t[35] + t[36] - t[39] + t[40] - 
       2*t[45] - (5*t[46])/2 + 4*t[47] + (7*t[48])/8 + (17*t[49])/4 + 
       (7*t[50])/8 - (7*t[52])/8 - (17*t[53])/4 - (11*t[54])/8 + 
       (19*t[60])/4 + (93*t[61])/4 - (129*t[62])/4 - (3*t[63])/4 - 
       (95*t[64])/8 - (35*t[65])/4 - (341*t[66])/12 - t[69] + t[72] - 
       3*t[75] - t[77] - 4*t[79] + 5*t[80] - t[81]/2 - (5*t[82])/2 + 
       (23*t[83])/2 + t[84] - (5*t[85])/4 + 30*t[86] + (5*t[87])/4 + 
       (5*t[88])/8 - (109*t[89])/8 + 2*t[99] - 17*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-2*t[1])/9 + (275*t[2])/72 - (1357*t[3])/144 + (361*t[4])/24 - 
       (1459*t[5])/144 + (5495*t[6])/576 + (2225*t[7])/144 - (493*t[8])/48 + 
       (9727*t[9])/288 + (173*t[10])/144 + (8473*t[11])/576 - 
       (193*t[12])/144 + (9361*t[13])/1296 + (37943*t[14])/1728 + 
       (26299*t[15])/5184 - (2*t[27])/9 + (5*t[28])/2 - (107*t[29])/36 - 
       (37*t[30])/12 - (8*t[31])/9 - (13*t[32])/18 + (11*t[33])/9 + 
       (20*t[34])/9 - 3*t[35] - (13*t[36])/6 + (2*t[37])/3 - t[38]/9 + 
       t[39]/72 + (5*t[40])/24 - (11*t[41])/18 + (11*t[42])/18 - 
       (11*t[43])/18 - (101*t[44])/36 + (11*t[46])/12 - (11*t[47])/9 - 
       (361*t[48])/192 + (155*t[49])/144 + (2605*t[50])/576 - 
       (169*t[51])/288 - (2477*t[52])/576 - (73*t[53])/48 - (81*t[54])/64 + 
       (31*t[59])/18 + (1049*t[60])/32 + (753*t[61])/32 - (155*t[62])/576 - 
       (9797*t[63])/576 - (47875*t[64])/576 - (8815*t[65])/864 - 
       (21869*t[66])/864 + (5*t[69])/3 + (19*t[72])/9 + (13*t[73])/6 + 
       3*t[74] - (5*t[75])/2 + (4*t[76])/9 + (23*t[77])/18 - (14*t[78])/9 - 
       (8*t[79])/3 - (61*t[80])/9 + (53*t[81])/18 - (47*t[82])/12 + 
       (5*t[83])/6 + (3221*t[84])/288 + (1921*t[85])/288 - (139*t[86])/9 - 
       (6551*t[87])/288 - (5399*t[88])/576 + (2467*t[89])/576 - 2*t[95] - 
       (2*t[96])/3 - (4*t[97])/9 - (7*t[98])/3 + (31*t[99])/3 - 
       (97*t[100])/6) + HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u]*
      ((21*t[2])/2 + (83*t[3])/8 + t[4] + (119*t[5])/8 - t[6] + (17*t[7])/2 - 
       (7*t[8])/2 - (13*t[9])/8 - (53*t[10])/4 + (39*t[11])/2 + 
       (25*t[12])/8 + (35*t[13])/6 - (11*t[14])/6 + (253*t[15])/36 - 
       2*t[20] + 2*t[22] + t[29]/2 + 3*t[30] + t[31] + t[32]/2 - t[33] - 
       2*t[34] - 4*t[35] + 3*t[36] - t[37] - t[41]/2 + t[42]/2 + 
       (3*t[43])/2 + (13*t[44])/4 - t[46]/2 - t[47] - (13*t[48])/4 - 
       3*t[49] + (5*t[50])/4 + (9*t[51])/8 - (5*t[52])/4 + 3*t[53] - 
       (15*t[54])/2 - t[59] - (23*t[60])/4 + 17*t[61] + (153*t[62])/8 + 
       (203*t[63])/8 - (55*t[64])/2 + (23*t[65])/12 + (31*t[66])/12 - 
       2*t[69] - 2*t[72] - t[74] - 3*t[75] - t[77] + 5*t[80] - 11*t[83] - 
       (9*t[84])/2 - (9*t[85])/2 - 10*t[86] - (5*t[87])/2 - (13*t[88])/4 - 
       (73*t[89])/8 + 2*t[95] + 8*t[99] - 16*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*Omega2[v, w, u]*(2*t[1] + (3*t[3])/4 - 
       (41*t[4])/4 + (31*t[5])/8 + (39*t[6])/8 + (5*t[7])/4 + (15*t[8])/4 - 
       (7*t[9])/8 - (39*t[10])/2 - (31*t[11])/8 - (9*t[12])/8 - 
       (383*t[13])/72 + (341*t[14])/48 - (31*t[15])/48 - 2*t[25] - 2*t[27] - 
       t[28] + t[29] - t[31] + 2*t[35] + 2*t[36] + 2*t[38] - t[39] + t[40] - 
       2*t[45] - (5*t[46])/2 + 4*t[47] + (33*t[48])/8 + (11*t[49])/2 - 
       (35*t[50])/8 + (5*t[51])/16 + (35*t[52])/8 - 4*t[53] + (73*t[54])/8 - 
       t[59] - (23*t[60])/4 + 17*t[61] + (153*t[62])/8 + (203*t[63])/8 - 
       (55*t[64])/2 + (23*t[65])/12 + (31*t[66])/12 - 2*t[69] - 2*t[72] - 
       t[74] - 3*t[75] - t[77] + 5*t[80] - 11*t[83] - (9*t[84])/2 - 
       (9*t[85])/2 - 10*t[86] - (5*t[87])/2 - (13*t[88])/4 - (73*t[89])/8 + 
       2*t[95] + 8*t[99] - 16*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*(-6*t[1] + (13*t[3])/12 + (119*t[4])/6 + 
       (41*t[5])/12 - (39*t[6])/8 + (29*t[7])/12 + t[8]/4 + (13*t[9])/6 - 
       (79*t[10])/12 + (563*t[11])/24 + (137*t[12])/12 + (2441*t[13])/216 - 
       (1117*t[14])/72 + (11*t[15])/24 + (7*t[16])/2 - (7*t[25])/3 + 
       (32*t[26])/3 + t[36] + (4*t[37])/3 - 6*t[38] + (13*t[46])/6 + 
       (11*t[48])/24 + 5*t[49] - t[50]/24 - (59*t[51])/12 + t[52]/24 - 
       (2*t[53])/3 - (113*t[54])/8 + 9*t[59] + (11*t[60])/4 - (86*t[61])/3 + 
       (163*t[62])/24 - (595*t[63])/8 + (121*t[64])/12 + (25*t[65])/12 - 
       (683*t[66])/12 + t[67]/2 + 6*t[69] - (19*t[70])/3 + (19*t[71])/3 + 
       7*t[74] + 36*t[75] + (32*t[76])/3 - (40*t[78])/3 + 8*t[79] + 
       (16*t[80])/3 + (5*t[81])/3 + t[82] - (73*t[83])/2 + (13*t[84])/12 + 
       (55*t[85])/4 + 14*t[86] - (55*t[87])/12 - (77*t[88])/8 + 
       (73*t[89])/12 - 4*t[95] + (16*t[96])/3 + 64*t[98] - 64*t[99] - 
       15*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*
      ((-79*t[2])/6 - 3*t[3] + (79*t[4])/6 - (109*t[5])/24 - (15*t[6])/2 + 
       (37*t[7])/12 - (1027*t[8])/12 + (713*t[9])/24 + (39*t[10])/4 + 
       (21*t[11])/2 + t[12]/24 + (50*t[13])/3 + (431*t[14])/72 - 
       (5599*t[15])/432 - 11*t[20] - 6*t[28] - 2*t[29] - (50*t[30])/3 - 
       (40*t[32])/3 - (14*t[33])/3 + 6*t[35] - (13*t[44])/2 - (16*t[45])/3 + 
       (16*t[47])/3 + (31*t[48])/6 + (7*t[49])/2 - (47*t[50])/6 - 
       (7*t[51])/4 + (47*t[52])/6 - (7*t[53])/2 - 3*t[54] + 9*t[59] + 
       (11*t[60])/4 - (86*t[61])/3 + (163*t[62])/24 - (595*t[63])/8 + 
       (121*t[64])/12 + (25*t[65])/12 - (683*t[66])/12 + t[67]/2 + 6*t[69] - 
       (19*t[70])/3 + (19*t[71])/3 + 7*t[74] + 36*t[75] + (32*t[76])/3 - 
       (40*t[78])/3 + 8*t[79] + (16*t[80])/3 + (5*t[81])/3 + t[82] - 
       (73*t[83])/2 + (13*t[84])/12 + (55*t[85])/4 + 14*t[86] - 
       (55*t[87])/12 - (77*t[88])/8 + (73*t[89])/12 - 4*t[95] + 
       (16*t[96])/3 + 64*t[98] - 64*t[99] - 15*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((5*t[1])/4 + (43*t[2])/24 + (629*t[3])/48 - (295*t[4])/12 + 
       (4799*t[5])/96 + (223*t[6])/96 - (221*t[7])/16 + (499*t[8])/16 - 
       (2439*t[9])/32 - (325*t[10])/12 - (3163*t[11])/96 - (2509*t[12])/96 - 
       (19813*t[13])/864 - (6251*t[14])/144 + (10973*t[15])/1728 - 
       (5*t[16])/6 - (20*t[25])/3 - (3*t[26])/2 - 3*t[27] - (43*t[28])/6 - 
       t[29]/4 + t[30]/2 - (11*t[31])/3 - (10*t[32])/3 + (10*t[33])/3 + 
       (5*t[34])/6 + (13*t[35])/3 - (5*t[36])/3 - (10*t[37])/3 + t[38]/2 - 
       (101*t[39])/8 + (139*t[40])/24 - (5*t[41])/12 + (5*t[42])/12 + 
       (23*t[43])/24 + (97*t[44])/24 + (5*t[45])/8 - (9*t[46])/2 - 
       (55*t[47])/12 + (1639*t[48])/96 + (259*t[49])/16 - (123*t[50])/32 - 
       (3*t[51])/4 + (545*t[52])/96 - (569*t[53])/48 - (223*t[54])/96 - 
       t[58]/6 - (25*t[59])/12 - (2807*t[60])/48 - (3283*t[61])/48 + 
       (5401*t[62])/96 + (469*t[63])/32 - (977*t[64])/96 + (1957*t[65])/48 + 
       (5299*t[66])/48 + (17*t[68])/3 - (8*t[69])/3 - (4*t[70])/3 + 
       (4*t[71])/3 - 2*t[72] - (31*t[73])/6 - (5*t[75])/2 - (28*t[76])/3 - 
       (31*t[77])/6 + (35*t[78])/6 + (27*t[79])/2 + (47*t[80])/2 - 
       (149*t[81])/12 + (121*t[82])/4 + 3*t[83] - (77*t[84])/16 + 
       (115*t[85])/48 + (293*t[86])/12 + (429*t[87])/16 + (1031*t[88])/96 - 
       (379*t[89])/32 + t[91]/12 - t[93] + (2*t[96])/3 - (13*t[97])/6 + 
       9*t[98] - 9*t[99] - 15*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Omega2[v, w, u]*((-4*t[1])/3 + (8*t[2])/3 + (5*t[3])/6 - 7*t[4] + 
       (101*t[5])/24 + (355*t[6])/48 + t[7]/12 + (31*t[8])/4 + (47*t[9])/6 - 
       (61*t[10])/6 - (343*t[11])/48 + (77*t[12])/24 - (865*t[13])/108 + 
       (1045*t[14])/144 - (233*t[15])/216 - t[25] + t[26] - (7*t[27])/3 - 
       t[28] - (5*t[29])/6 - t[30] - (7*t[31])/3 - (4*t[32])/3 + 
       (4*t[33])/3 + (4*t[34])/3 + 3*t[36] + 2*t[37] - (2*t[38])/3 - 
       (5*t[39])/3 + t[40]/2 - (2*t[41])/3 + (2*t[42])/3 + t[43]/3 + 
       (5*t[44])/3 - (3*t[46])/2 - (4*t[47])/3 + (19*t[48])/16 - 
       (14*t[49])/3 - (151*t[50])/48 + (37*t[51])/24 + (215*t[52])/48 + 
       2*t[53] + (121*t[54])/16 + t[59]/3 + (127*t[60])/8 + (31*t[61])/8 + 
       (587*t[62])/48 + (869*t[63])/48 - (1667*t[64])/48 + (613*t[65])/72 + 
       (491*t[66])/72 + 3*t[69] + (11*t[72])/3 - 2*t[74] - 7*t[75] - 
       (22*t[76])/3 - (7*t[77])/3 + (26*t[78])/3 + 8*t[79] - (17*t[80])/3 + 
       (13*t[81])/6 + (5*t[82])/2 + (7*t[83])/2 + (271*t[84])/24 + 
       (101*t[85])/24 + (34*t[86])/3 - (163*t[87])/24 - (163*t[88])/48 - 
       (517*t[89])/48 - 4*t[96] - (8*t[97])/3 - 32*t[98] + 34*t[99] - 
       15*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-25*t[1])/3 - (9*t[3])/4 - (85*t[4])/6 + t[5]/3 - (95*t[6])/48 + 
       (227*t[7])/24 - (265*t[8])/24 + (59*t[9])/12 - (475*t[10])/24 - 
       (275*t[11])/48 + (877*t[12])/24 - (137*t[13])/24 - (1085*t[14])/144 + 
       (143*t[15])/36 - (2*t[16])/3 + 2*t[25] + (23*t[26])/6 - 
       (23*t[29])/12 - (2*t[30])/3 + (23*t[36])/3 + 7*t[37] - 3*t[38] + 
       t[39]/6 - t[40]/6 + (21*t[44])/4 - (79*t[48])/48 - (23*t[49])/2 + 
       (59*t[50])/16 + (31*t[51])/12 - (59*t[52])/16 + (23*t[53])/2 - 
       (49*t[54])/48 + (25*t[59])/3 + (71*t[60])/24 - (45*t[61])/8 + 
       (769*t[62])/48 + (355*t[63])/48 - (637*t[64])/48 + (229*t[65])/18 + 
       (365*t[66])/12 + (5*t[67])/3 + 3*t[69] - 7*t[70] + 7*t[71] - 
       (17*t[73])/2 - (21*t[74])/2 + (193*t[75])/6 + (13*t[76])/3 - 5*t[78] - 
       (17*t[79])/6 + (5*t[81])/12 - t[82]/12 - (79*t[83])/3 + (3*t[84])/2 - 
       (41*t[85])/24 - (5*t[86])/6 - t[87]/8 - t[88]/16 + (77*t[89])/16 - 
       (29*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-135*t[2])/8 + (73*t[3])/12 + (23*t[4])/24 - (13*t[5])/8 + 
       (45*t[6])/4 - (373*t[7])/24 + (309*t[8])/8 - (311*t[9])/12 - 
       (101*t[10])/48 - (131*t[11])/24 + (103*t[12])/16 - (79*t[13])/72 - 
       (5435*t[14])/288 + (541*t[15])/144 - (7*t[18])/3 - (4*t[20])/3 + 
       t[28]/3 + t[29]/2 + (10*t[30])/3 - 2*t[32] + (11*t[33])/3 - 2*t[34] + 
       (14*t[35])/3 + t[37]/3 + (10*t[44])/3 + (13*t[48])/2 - 
       (101*t[49])/48 - (49*t[50])/6 - (29*t[51])/96 + (49*t[52])/6 + 
       (101*t[53])/48 + (197*t[54])/24 + (25*t[59])/3 + (71*t[60])/24 - 
       (45*t[61])/8 + (769*t[62])/48 + (355*t[63])/48 - (637*t[64])/48 + 
       (229*t[65])/18 + (365*t[66])/12 + (5*t[67])/3 + 3*t[69] - 7*t[70] + 
       7*t[71] - (17*t[73])/2 - (21*t[74])/2 + (193*t[75])/6 + (13*t[76])/3 - 
       5*t[78] - (17*t[79])/6 + (5*t[81])/12 - t[82]/12 - (79*t[83])/3 + 
       (3*t[84])/2 - (41*t[85])/24 - (5*t[86])/6 - t[87]/8 - t[88]/16 + 
       (77*t[89])/16 - (29*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((1969*t[2])/144 + (77*t[3])/72 + (55*t[4])/9 - 
       (79*t[5])/36 + (1711*t[6])/288 + (293*t[7])/48 + (3619*t[8])/144 + 
       (1183*t[9])/72 - (1211*t[10])/144 + (2249*t[11])/288 - 
       (475*t[12])/144 + (877*t[13])/432 + (2959*t[14])/288 + (11*t[15])/4 - 
       t[18] - (49*t[20])/18 + 2*t[22] + (19*t[24])/6 + (32*t[28])/9 + 
       (107*t[29])/12 + (23*t[30])/9 - (7*t[31])/6 + (23*t[32])/4 - 
       (38*t[33])/9 - (2*t[34])/3 - (31*t[35])/2 - t[37] - t[39]/4 + 
       t[40]/4 - t[41]/2 + t[42]/2 + t[43] - (131*t[44])/18 - t[47] + 
       (2489*t[48])/288 + (4*t[49])/9 - (67*t[50])/288 - (2*t[51])/9 + 
       (67*t[52])/288 - (4*t[53])/9 + (85*t[54])/96 - (29*t[59])/18 - 
       (263*t[60])/144 + (47*t[61])/16 + (3077*t[62])/288 - 
       (4469*t[63])/288 - (9617*t[64])/288 + (265*t[65])/144 - 
       (2345*t[66])/144 - t[67]/2 - 6*t[69] + 2*t[70] - 2*t[71] + 
       (13*t[73])/3 + (37*t[74])/12 + 3*t[75] - t[76]/6 + (13*t[78])/3 + 
       (31*t[79])/12 + t[80] - (7*t[81])/6 + (13*t[82])/6 - (355*t[83])/18 + 
       (27*t[84])/16 + (103*t[85])/144 - (67*t[86])/36 - (1823*t[87])/144 - 
       (1439*t[88])/288 - (1213*t[89])/288 + 4*t[99] - (173*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((17*t[1])/24 - (215*t[2])/48 - (13*t[3])/6 - (863*t[4])/192 + 
       (103*t[5])/96 - (35*t[6])/32 + (163*t[7])/48 + (93*t[8])/16 + 
       (109*t[9])/96 - (613*t[10])/384 - (301*t[11])/96 + (89*t[12])/128 - 
       (14813*t[13])/1728 + (26117*t[14])/2304 - (2831*t[15])/1152 - 
       t[20]/2 + t[22]/2 - t[26]/4 - (2*t[27])/3 + (5*t[28])/6 + 
       (5*t[29])/6 - t[30]/4 - 2*t[31] - (7*t[34])/12 + (2*t[35])/3 + 
       (31*t[36])/12 + t[37]/3 + t[38]/2 - (7*t[39])/6 + (13*t[40])/6 + 
       (13*t[41])/24 - (13*t[42])/24 + t[43]/12 - (35*t[44])/12 - 2*t[45] - 
       (11*t[46])/4 + (9*t[47])/2 + (191*t[48])/96 + (1513*t[49])/384 - 
       (159*t[50])/32 - (1037*t[51])/768 + (373*t[52])/96 - 
       (1001*t[53])/384 + (761*t[54])/192 - t[58]/12 + (5*t[59])/24 + 
       (845*t[60])/192 + (735*t[61])/64 - (4951*t[62])/384 + 
       (7063*t[63])/384 + (691*t[64])/128 - (3967*t[65])/576 + 
       (7003*t[66])/576 - t[69]/2 - (11*t[72])/6 - (35*t[73])/12 - 
       (3*t[74])/2 + (109*t[75])/12 + (61*t[76])/12 - (11*t[77])/12 - 
       (59*t[78])/6 - 4*t[79] + 4*t[80] - (103*t[81])/24 + (8*t[82])/3 - 
       (125*t[83])/12 - (1027*t[84])/192 - (1043*t[85])/192 + (43*t[86])/6 - 
       (225*t[87])/64 - (225*t[88])/128 - (315*t[89])/128 + 2*t[96] + 
       (17*t[97])/12 + (93*t[98])/2 - (91*t[99])/2 - (113*t[100])/8) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[u, v, w]*(t[1]/2 - t[2]/4 + 
       (5*t[3])/12 + (3*t[4])/4 - (41*t[5])/24 - (2*t[6])/3 + t[7] - 3*t[8] + 
       (17*t[9])/8 - (11*t[10])/24 + (31*t[11])/12 + t[12]/3 + 
       (41*t[13])/18 + (493*t[14])/144 - (275*t[15])/144 + t[19] - 
       (2*t[31])/3 - t[36] - 2*t[37] + t[41]/2 - t[42]/2 - t[43]/3 - 
       t[48]/2 + (7*t[49])/24 + (5*t[50])/6 - t[51]/16 - (5*t[52])/6 - 
       (7*t[53])/24 + (11*t[54])/12 + (19*t[60])/6 + (9*t[61])/2 - 
       (55*t[62])/6 - (9*t[63])/2 + (7*t[64])/4 - (10*t[65])/3 - 
       (193*t[66])/18 + 2*t[72] - 2*t[73] + 3*t[79] + 4*t[80] + (4*t[82])/3 + 
       (2*t[84])/3 - (2*t[85])/3 + (25*t[86])/3 - (10*t[87])/3 - 
       (5*t[88])/3 - (19*t[89])/4 - 14*t[100]) + HPL[{0, 1}, 1 - v]*
      Ot[u, v, w]*((4*t[1])/3 - (23*t[2])/12 - (16*t[3])/3 + 13*t[4] - 
       (25*t[5])/12 + (265*t[6])/96 + (223*t[7])/24 + (55*t[8])/8 - 
       (13*t[9])/48 + (47*t[10])/12 + (1823*t[11])/96 + (31*t[12])/24 + 
       (1913*t[13])/216 + (1171*t[14])/288 + (5297*t[15])/864 + (4*t[27])/3 + 
       t[28] + (19*t[29])/12 + (3*t[30])/2 + (4*t[31])/3 + (4*t[32])/3 - 
       (4*t[33])/3 - (4*t[34])/3 - 2*t[35] + t[36] + (2*t[38])/3 + 
       (11*t[39])/12 + t[40]/2 + (2*t[41])/3 - (2*t[42])/3 + (2*t[43])/3 - 
       (23*t[44])/12 + t[46]/2 + (4*t[47])/3 - (7*t[48])/32 + (2*t[49])/3 + 
       (35*t[50])/96 - t[51]/24 - (163*t[52])/96 + 2*t[53] - (109*t[54])/32 + 
       (2*t[59])/3 + (17*t[60])/16 + (617*t[61])/16 - (313*t[62])/96 - 
       (343*t[63])/96 - (881*t[64])/96 - (653*t[65])/144 - (1423*t[66])/144 - 
       (8*t[72])/3 + 3*t[73] + 3*t[75] + (25*t[76])/3 + (7*t[77])/3 - 
       (38*t[78])/3 - 5*t[79] + (8*t[80])/3 - t[81]/6 - 4*t[82] - 12*t[83] - 
       (377*t[84])/48 - (265*t[85])/48 - (73*t[86])/3 - (121*t[87])/48 - 
       (121*t[88])/96 + (929*t[89])/96 + 4*t[96] + (8*t[97])/3 + 38*t[98] - 
       38*t[99] - 14*t[100]) + HPL[{0, 1}, 1 - w]*Ot[u, v, w]*
      ((4*t[1])/3 - (41*t[2])/12 - 5*t[3] + (115*t[4])/48 + (63*t[5])/8 + 
       (35*t[6])/4 - (27*t[7])/4 + (157*t[8])/12 - (151*t[9])/24 + 
       (857*t[10])/96 - (11*t[11])/4 - (359*t[12])/96 - (1517*t[13])/432 + 
       (2957*t[14])/192 + (571*t[15])/288 - (4*t[27])/3 + (8*t[28])/3 + 
       (4*t[29])/3 - (7*t[30])/3 + (4*t[31])/3 - (4*t[34])/3 + 2*t[35] + 
       (2*t[38])/3 + 2*t[39] + (2*t[41])/3 - (2*t[42])/3 + (2*t[43])/3 - 
       (4*t[44])/3 - t[46]/2 + (25*t[48])/3 + (281*t[49])/32 - (35*t[50])/3 - 
       (245*t[51])/64 + (31*t[52])/3 - (587*t[53])/96 + (161*t[54])/48 + 
       (2*t[59])/3 + (17*t[60])/16 + (617*t[61])/16 - (313*t[62])/96 - 
       (343*t[63])/96 - (881*t[64])/96 - (653*t[65])/144 - (1423*t[66])/144 - 
       (8*t[72])/3 + 3*t[73] + 3*t[75] + (25*t[76])/3 + (7*t[77])/3 - 
       (38*t[78])/3 - 5*t[79] + (8*t[80])/3 - t[81]/6 - 4*t[82] - 12*t[83] - 
       (377*t[84])/48 - (265*t[85])/48 - (73*t[86])/3 - (121*t[87])/48 - 
       (121*t[88])/96 + (929*t[89])/96 + 4*t[96] + (8*t[97])/3 + 38*t[98] - 
       38*t[99] - 14*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*(-t[2]/8 + (155*t[3])/8 - (97*t[4])/8 + 
       (47*t[5])/16 - (693*t[6])/32 + (313*t[7])/8 - (185*t[8])/4 + 
       (117*t[9])/8 - (185*t[10])/16 + (549*t[11])/32 + (7*t[12])/2 - 
       (229*t[13])/36 - (307*t[14])/48 - (91*t[15])/12 - 6*t[28] - 
       (21*t[29])/8 - (9*t[30])/4 + 2*t[32] - 2*t[33] + (7*t[35])/2 + 
       (7*t[36])/2 + (7*t[43])/4 + (81*t[44])/8 - (543*t[48])/32 - 
       (41*t[49])/16 + (457*t[50])/32 + (41*t[51])/32 - (457*t[52])/32 + 
       (41*t[53])/16 - (561*t[54])/32 - (9*t[59])/8 + (19*t[60])/16 - 
       (7*t[61])/16 - (1247*t[62])/32 + (511*t[63])/32 + (353*t[64])/32 - 
       (143*t[65])/16 - (125*t[66])/16 - (7*t[74])/2 - 5*t[75] - 
       (7*t[77])/2 - (7*t[78])/2 - t[79]/2 + 7*t[80] - (21*t[81])/4 + 
       (15*t[82])/4 + (15*t[83])/2 - (57*t[84])/16 - (15*t[85])/16 + 
       (91*t[86])/2 + (75*t[87])/16 - t[88]/32 - (639*t[89])/32 + 4*t[99] - 
       14*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((11*t[3])/4 + (17*t[4])/16 + (11*t[5])/16 - 
       (69*t[6])/16 + (55*t[7])/8 + (67*t[8])/8 - (39*t[9])/16 - 
       (265*t[10])/32 + (69*t[11])/16 - (91*t[12])/32 - (1327*t[13])/144 + 
       (2459*t[14])/192 - (103*t[15])/16 - (7*t[28])/2 - (7*t[31])/2 + 
       (7*t[35])/2 + 3*t[36] - (7*t[39])/2 + (7*t[40])/2 - (7*t[45])/2 - 
       (15*t[46])/4 + 7*t[47] - (13*t[48])/16 + (141*t[49])/32 + 
       (19*t[50])/16 - (119*t[51])/64 - (19*t[52])/16 - (141*t[53])/32 + 
       (7*t[54])/8 - (9*t[59])/8 + (19*t[60])/16 - (7*t[61])/16 - 
       (1247*t[62])/32 + (511*t[63])/32 + (353*t[64])/32 - (143*t[65])/16 - 
       (125*t[66])/16 - (7*t[74])/2 - 5*t[75] - (7*t[77])/2 - (7*t[78])/2 - 
       t[79]/2 + 7*t[80] - (21*t[81])/4 + (15*t[82])/4 + (15*t[83])/2 - 
       (57*t[84])/16 - (15*t[85])/16 + (91*t[86])/2 + (75*t[87])/16 - 
       t[88]/32 - (639*t[89])/32 + 4*t[99] - 14*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((189*t[2])/8 + (75*t[3])/4 + (75*t[4])/8 + (359*t[5])/16 - 
       (175*t[6])/16 + 17*t[7] - (183*t[8])/4 - (139*t[9])/16 - 
       (187*t[10])/16 + (507*t[11])/16 - (5*t[12])/4 + (595*t[13])/72 - 
       (539*t[14])/32 + (881*t[15])/96 + t[20] + t[22] - 2*t[28] - 
       (5*t[29])/2 + (7*t[30])/2 + (3*t[32])/4 - (5*t[33])/2 - 2*t[34] - 
       2*t[35] - 2*t[37] - t[41] + t[42] + (35*t[44])/4 - 2*t[47] - 
       (101*t[48])/16 + (15*t[49])/16 + (87*t[50])/16 - (15*t[51])/32 - 
       (87*t[52])/16 - (15*t[53])/16 - (365*t[54])/16 - (13*t[59])/4 - 
       (267*t[60])/8 + (3*t[61])/2 + (197*t[62])/16 + (159*t[63])/16 - 
       (461*t[64])/8 + (253*t[65])/24 - (11*t[66])/24 - 2*t[69] + t[74] - 
       2*t[75] + 2*t[80] - 3*t[81] + 3*t[82] - 9*t[83] - (65*t[84])/8 - 
       (61*t[85])/8 - 12*t[86] + (83*t[87])/8 - (53*t[88])/16 - 
       (183*t[89])/8 + 2*t[95] + 16*t[99] - 14*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((13*t[1])/2 - (235*t[4])/8 - (13*t[5])/8 + t[6]/4 - (5*t[7])/2 - 
       (5*t[8])/2 + (21*t[9])/8 - (15*t[10])/16 - (31*t[11])/4 + 
       (99*t[12])/16 - (491*t[13])/24 + (445*t[14])/96 - (5*t[15])/6 - 
       8*t[25] + (3*t[26])/2 + t[36] + (13*t[38])/2 + t[46]/2 - (3*t[48])/4 - 
       (129*t[49])/16 - (7*t[50])/4 + (179*t[51])/32 + (7*t[52])/4 + 
       (157*t[53])/16 + (95*t[54])/8 - (13*t[59])/4 - (267*t[60])/8 + 
       (3*t[61])/2 + (197*t[62])/16 + (159*t[63])/16 - (461*t[64])/8 + 
       (253*t[65])/24 - (11*t[66])/24 - 2*t[69] + t[74] - 2*t[75] + 2*t[80] - 
       3*t[81] + 3*t[82] - 9*t[83] - (65*t[84])/8 - (61*t[85])/8 - 12*t[86] + 
       (83*t[87])/8 - (53*t[88])/16 - (183*t[89])/8 + 2*t[95] + 16*t[99] - 
       14*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u]*(t[1]/3 + (23*t[2])/24 - (163*t[3])/12 + 
       (749*t[4])/48 - (43*t[5])/32 + (125*t[6])/24 - (271*t[7])/48 + 
       (225*t[8])/16 - (77*t[9])/32 - (647*t[10])/96 + (125*t[11])/12 - 
       (49*t[12])/24 + (191*t[13])/24 + (311*t[14])/64 + (269*t[15])/64 + 
       t[18]/9 - (2*t[19])/3 - (7*t[20])/6 + (2*t[21])/3 + (5*t[22])/6 - 
       (2*t[23])/3 + t[25]/3 + t[26]/6 + (4*t[29])/3 - (13*t[31])/6 + 
       (5*t[32])/6 - t[33]/2 - t[34]/6 - (25*t[35])/6 - t[36]/2 + 
       (2*t[37])/3 - t[38]/3 - t[39]/6 - t[40]/6 - t[41]/2 + t[42]/2 + 
       (7*t[43])/24 - 3*t[44] + (5*t[45])/4 - (17*t[46])/12 - (11*t[47])/3 + 
       (101*t[48])/24 + (173*t[49])/96 - (11*t[50])/24 - (39*t[51])/64 + 
       (31*t[52])/24 - (173*t[53])/96 - (57*t[54])/16 + t[58]/6 + 
       (7*t[59])/6 - (43*t[60])/24 + (289*t[61])/12 + (421*t[62])/48 - 
       (877*t[63])/48 - (211*t[64])/24 + (37*t[65])/8 - (1889*t[66])/72 - 
       (5*t[69])/6 + t[72]/3 + (79*t[73])/12 - (11*t[74])/6 - (31*t[75])/4 + 
       t[76]/3 + (11*t[77])/6 - (5*t[78])/3 + (5*t[79])/3 - (7*t[80])/6 + 
       (10*t[81])/3 - (59*t[82])/12 - (31*t[83])/6 + (49*t[84])/12 + 
       (7*t[85])/4 - (83*t[86])/6 + (137*t[89])/24 + t[97]/6 + (19*t[98])/3 - 
       4*t[99] - (167*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((-5*t[1])/12 - (7*t[2])/24 - 
       (97*t[3])/16 - (2435*t[4])/192 - (5*t[5])/32 + (597*t[6])/32 + 
       (917*t[7])/48 + (2543*t[8])/48 + (2479*t[9])/96 + (911*t[10])/384 + 
       (1103*t[11])/96 + (7031*t[12])/384 + (12781*t[13])/1728 + 
       (32281*t[14])/2304 - (247*t[15])/128 - t[19]/2 - (4*t[20])/3 + 
       t[21]/2 + (7*t[22])/2 - t[23]/2 - (11*t[24])/6 + t[25]/2 + t[26]/2 - 
       t[27]/2 - (7*t[28])/6 + (35*t[29])/12 - (13*t[30])/4 + (26*t[31])/3 - 
       t[32]/2 - (4*t[33])/3 - (5*t[34])/6 + 14*t[35] + (35*t[36])/12 - 
       (4*t[37])/3 - (5*t[38])/12 + (5*t[39])/12 - t[40]/6 + (5*t[41])/12 - 
       (5*t[42])/12 - (21*t[43])/8 - (25*t[44])/6 - (9*t[45])/4 - 
       (23*t[46])/8 + 17*t[47] + (313*t[48])/96 + (965*t[49])/384 - 
       (357*t[50])/32 - (1369*t[51])/768 + (1183*t[52])/96 - 
       (581*t[53])/384 + (1789*t[54])/192 + t[58]/3 - (3*t[59])/4 + 
       (1369*t[60])/192 + (8597*t[61])/192 - (15587*t[62])/384 - 
       (4397*t[63])/384 + (3751*t[64])/128 + (16861*t[65])/576 - 
       (4819*t[66])/192 - 3*t[69] + (8*t[72])/3 + (67*t[73])/12 - 
       (13*t[74])/3 + (7*t[75])/4 + (4*t[76])/3 - (19*t[77])/6 - 
       (17*t[78])/2 + (11*t[79])/2 + (10*t[80])/3 - (25*t[81])/6 + 
       (137*t[82])/24 - (95*t[83])/12 - (271*t[84])/192 + (279*t[85])/64 + 
       (161*t[86])/6 - (189*t[87])/64 - (157*t[88])/128 + (3811*t[89])/384 + 
       (3*t[96])/2 + (2*t[97])/3 - 5*t[98] + 7*t[99] - (53*t[100])/4) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (t[1]/8 + (25*t[2])/8 - (37*t[3])/48 - (239*t[4])/192 + (505*t[5])/96 + 
       (287*t[6])/96 - (133*t[7])/48 + (57*t[8])/16 - (55*t[9])/32 - 
       (2021*t[10])/384 - (359*t[11])/96 + (89*t[12])/128 - 
       (11173*t[13])/1728 + (14357*t[14])/2304 + (16099*t[15])/3456 + 
       t[18]/18 + (11*t[24])/6 + (3*t[26])/4 + (11*t[28])/6 - t[29] - 
       (5*t[30])/4 - (23*t[31])/6 + t[32]/2 - t[34]/4 - (29*t[35])/3 + 
       (3*t[36])/4 + (2*t[37])/3 - t[38]/2 + t[39]/2 - t[40]/2 - t[41]/8 + 
       t[42]/8 + (9*t[43])/16 - t[44]/3 + (17*t[45])/24 - t[46]/6 - 
       (19*t[47])/4 + (371*t[48])/96 - (679*t[49])/384 + (179*t[50])/96 + 
       (19*t[51])/768 - (59*t[52])/96 + (679*t[53])/384 + (361*t[54])/192 + 
       t[58]/4 + (19*t[59])/24 - (353*t[60])/64 + (511*t[61])/64 + 
       (2107*t[62])/128 - (1457*t[63])/384 - (2229*t[64])/128 + 
       (469*t[65])/576 + (2671*t[66])/576 + t[67]/12 - t[69]/2 + t[72]/2 - 
       t[73]/4 + (11*t[74])/12 - (61*t[75])/12 - (5*t[76])/4 - t[77]/4 - 
       t[78] + (29*t[79])/12 - (13*t[80])/6 - (19*t[81])/12 + (19*t[82])/24 - 
       t[83]/12 + (131*t[84])/64 - (1331*t[85])/192 - (131*t[86])/12 + 
       (1429*t[87])/192 + (1429*t[88])/384 - (659*t[89])/128 - t[97]/4 - 
       (27*t[98])/2 + (77*t[99])/6 - (79*t[100])/6) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      (t[1]/12 - (35*t[2])/48 - (397*t[3])/288 + (1345*t[4])/144 + 
       (449*t[5])/144 + (665*t[6])/384 - (7*t[7])/96 + (899*t[8])/288 - 
       (1129*t[9])/192 + (481*t[10])/288 + (1501*t[11])/1152 + (21*t[12])/8 + 
       (57*t[13])/32 - (185*t[14])/384 + (13811*t[15])/3456 - t[16]/12 + 
       t[19]/2 - t[21]/2 + t[23]/2 + (11*t[25])/18 - (7*t[26])/9 - t[27]/6 - 
       t[28]/4 + (11*t[29])/24 + (35*t[30])/24 - (2*t[31])/3 + t[32]/3 - 
       t[33]/3 - t[34]/3 + t[35]/2 + (25*t[36])/12 + (11*t[37])/6 + t[38]/6 - 
       (13*t[39])/48 + (11*t[40])/16 + (5*t[41])/12 - (5*t[42])/12 + 
       (11*t[43])/48 - (2*t[44])/3 - t[45]/8 - (35*t[46])/36 - 
       (29*t[47])/12 + (491*t[48])/384 + (137*t[49])/288 + 
       (1225*t[50])/1152 + (395*t[51])/576 - (1609*t[52])/1152 + 
       (55*t[53])/288 - (157*t[54])/128 + (8*t[59])/3 - (691*t[60])/576 + 
       (1087*t[61])/192 + (16993*t[62])/1152 + (3359*t[63])/1152 - 
       (25807*t[64])/1152 - (427*t[65])/192 + (7037*t[66])/576 + t[67]/12 + 
       (11*t[69])/3 - (11*t[70])/6 + (11*t[71])/6 + t[72]/3 + (37*t[73])/12 - 
       (11*t[74])/12 - (15*t[75])/4 + (7*t[76])/3 + (7*t[77])/12 - 
       (14*t[78])/3 + t[79]/12 - 2*t[80] - (7*t[81])/6 + (23*t[82])/24 - 
       (19*t[83])/36 - (5*t[84])/192 - (2587*t[85])/576 - (377*t[86])/36 + 
       (1229*t[87])/576 + (1229*t[88])/1152 - (4025*t[89])/1152 + t[96] + 
       (2*t[97])/3 + (19*t[98])/2 - (61*t[99])/6 - 13*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-28*t[1])/3 + (25*t[2])/6 + t[3]/4 + (135*t[4])/2 - (71*t[5])/12 + 
       (5*t[6])/2 + (175*t[7])/12 - (9*t[8])/4 + (217*t[9])/12 - 14*t[10] + 
       (189*t[11])/4 + (10*t[12])/3 + (5083*t[13])/216 + (587*t[14])/72 - 
       (211*t[15])/36 + 2*t[16] + 3*t[25] + 5*t[26] - (2*t[27])/3 - 
       (8*t[28])/3 - t[29]/3 + (10*t[30])/3 - (4*t[31])/3 + (4*t[34])/3 - 
       3*t[35] - 2*t[36] - (26*t[38])/3 - 2*t[39] - (2*t[41])/3 + 
       (2*t[42])/3 - (2*t[43])/3 + (4*t[44])/3 - t[45] - t[46]/2 + 2*t[47] - 
       (25*t[48])/12 - (53*t[49])/12 + (101*t[50])/12 - (31*t[51])/8 - 
       (85*t[52])/12 - (11*t[53])/4 - (101*t[54])/4 + (10*t[59])/3 + 
       (677*t[60])/6 + (155*t[61])/12 + (17*t[62])/6 - (643*t[63])/12 - 
       (1011*t[64])/8 - (1193*t[65])/36 - (1673*t[66])/36 + 4*t[69] + 
       (2*t[72])/3 - 4*t[73] + 5*t[74] + 21*t[75] - (28*t[76])/3 - 
       (10*t[77])/3 + (47*t[78])/3 + 8*t[79] + t[80]/3 - (5*t[81])/6 + 
       (11*t[82])/2 - (79*t[83])/3 + (149*t[84])/4 + (163*t[85])/6 + 
       (14*t[86])/3 - (343*t[87])/6 - (283*t[88])/12 + (13*t[89])/8 - 
       4*t[95] - 4*t[96] - (8*t[97])/3 - 44*t[98] + 50*t[99] - 13*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-4*t[1])/3 + (7*t[2])/6 - (55*t[3])/3 - (9*t[4])/4 - (377*t[5])/24 + 
       (93*t[6])/4 + (401*t[7])/12 - (95*t[8])/12 + (1907*t[9])/24 - 
       (121*t[10])/8 - (49*t[11])/6 + (13*t[12])/4 - (95*t[13])/216 + 
       (889*t[14])/16 - (3295*t[15])/432 + t[20] - 3*t[22] - (4*t[27])/3 + 
       (10*t[28])/3 - (23*t[29])/3 - (53*t[30])/3 - t[31]/3 + t[32]/6 - 
       (2*t[33])/3 + (16*t[34])/3 + 3*t[35] - t[37] - (2*t[38])/3 - 
       (7*t[39])/6 - t[40]/2 - (7*t[41])/6 + (7*t[42])/6 + t[43]/3 + 
       7*t[44] - (3*t[46])/2 - (7*t[47])/3 + (7*t[48])/4 - (67*t[49])/24 + 
       (9*t[50])/4 + (53*t[51])/48 - (11*t[52])/12 + t[53]/8 + 
       (139*t[54])/6 + (10*t[59])/3 + (677*t[60])/6 + (155*t[61])/12 + 
       (17*t[62])/6 - (643*t[63])/12 - (1011*t[64])/8 - (1193*t[65])/36 - 
       (1673*t[66])/36 + 4*t[69] + (2*t[72])/3 - 4*t[73] + 5*t[74] + 
       21*t[75] - (28*t[76])/3 - (10*t[77])/3 + (47*t[78])/3 + 8*t[79] + 
       t[80]/3 - (5*t[81])/6 + (11*t[82])/2 - (79*t[83])/3 + (149*t[84])/4 + 
       (163*t[85])/6 + (14*t[86])/3 - (343*t[87])/6 - (283*t[88])/12 + 
       (13*t[89])/8 - 4*t[95] - 4*t[96] - (8*t[97])/3 - 44*t[98] + 50*t[99] - 
       13*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v]*
      ((5*t[1])/12 - (25*t[2])/16 + (55*t[3])/36 + (235*t[4])/48 + 
       (2585*t[5])/288 + (691*t[6])/72 - (655*t[7])/24 + (127*t[8])/24 - 
       (1081*t[9])/96 + (2387*t[10])/288 - (319*t[11])/36 - (55*t[12])/36 + 
       (1753*t[13])/432 - (2809*t[14])/1728 - (3547*t[15])/1728 + 
       (4*t[19])/3 + t[24] + 3*t[28] + t[30] - (65*t[31])/18 - 2*t[32] + 
       2*t[33] - 8*t[35] - (43*t[36])/12 - (3*t[37])/2 + t[39]/6 - t[40]/6 + 
       t[41]/2 - t[42]/2 - (83*t[43])/36 - (17*t[44])/6 - (4*t[45])/3 + 
       (4*t[47])/3 + (49*t[48])/6 + (689*t[49])/288 - (107*t[50])/18 - 
       (251*t[51])/192 + (107*t[52])/18 - (689*t[53])/288 + (907*t[54])/144 - 
       (31*t[60])/72 - (203*t[61])/24 + (3937*t[62])/288 - (449*t[63])/32 - 
       (181*t[64])/24 + (1913*t[65])/144 - (601*t[66])/432 + (5*t[72])/6 - 
       (19*t[73])/12 + 2*t[74] + 2*t[77] + 2*t[78] + (49*t[79])/3 - 
       (2*t[80])/3 + (13*t[81])/6 + (11*t[82])/9 - (65*t[83])/6 + 
       (22*t[84])/9 - (157*t[85])/36 - (154*t[86])/9 - (221*t[87])/36 - 
       (221*t[88])/72 + (17*t[89])/24 - (25*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (-t[1]/12 + (11*t[2])/6 + (157*t[3])/144 + (101*t[4])/12 - 
       (641*t[5])/144 + (3695*t[6])/576 + (65*t[7])/48 - (29*t[8])/16 + 
       (961*t[9])/96 + (319*t[10])/144 + (1589*t[11])/576 + (281*t[12])/144 + 
       (1583*t[13])/432 + (20459*t[14])/1728 - (17*t[15])/576 - t[16]/4 - 
       t[20]/4 + t[22]/4 + t[25]/6 - t[26]/6 - t[27]/6 + t[28] + 
       (23*t[29])/24 - t[30]/2 + (17*t[31])/9 + t[32]/12 - t[33]/12 + 
       t[34]/6 - (7*t[36])/12 - (5*t[37])/12 - t[38]/12 - t[39]/12 - 
       t[40]/8 - (5*t[41])/24 + (5*t[42])/24 + (7*t[43])/36 - (5*t[44])/12 + 
       3*t[45] - (31*t[46])/12 - (77*t[47])/12 - (49*t[48])/192 + 
       (85*t[49])/144 - (1555*t[50])/576 + (187*t[51])/96 + 
       (1651*t[52])/576 - (133*t[53])/144 + (295*t[54])/576 + t[59]/24 + 
       (6083*t[60])/288 + (1969*t[61])/96 + (4433*t[62])/576 - 
       (2371*t[63])/192 - (9235*t[64])/192 - (2783*t[65])/288 - 
       (24281*t[66])/864 - t[69]/4 + (7*t[72])/12 + (15*t[73])/4 + 
       (3*t[74])/2 + (33*t[75])/4 - (8*t[76])/3 - (5*t[77])/12 + 
       (17*t[78])/6 - (77*t[79])/24 - 6*t[80] + (29*t[81])/24 - 
       (143*t[82])/72 - (251*t[83])/24 + (911*t[84])/288 + (1081*t[85])/288 - 
       (1583*t[86])/72 - (4831*t[87])/288 - (4831*t[88])/576 - 
       (375*t[89])/64 - t[96]/2 - t[97]/3 - 17*t[98] + 24*t[99] - 
       (25*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]^2*((5*t[1])/9 - (133*t[2])/144 + (1799*t[3])/288 + 
       (63*t[4])/16 + (52*t[5])/9 - (4741*t[6])/1152 + (5195*t[7])/288 - 
       (97*t[8])/32 - (455*t[9])/576 - (1591*t[10])/288 + 
       (14893*t[11])/1152 - (19*t[12])/18 - (1429*t[13])/1296 - 
       (11953*t[14])/3456 + (10741*t[15])/10368 + t[25]/2 - t[26]/2 + 
       t[27]/18 - (7*t[28])/4 + (85*t[29])/72 + (11*t[30])/24 + 
       (13*t[31])/18 + (23*t[32])/9 - (23*t[33])/9 - (5*t[34])/9 + t[35] - 
       (37*t[36])/12 - t[37]/6 + (5*t[38])/18 + (49*t[39])/144 + 
       (17*t[40])/48 + (5*t[41])/18 - (5*t[42])/18 + (23*t[43])/18 + 
       (43*t[44])/18 + t[45]/2 - (7*t[46])/6 - (4*t[47])/9 - 
       (325*t[48])/384 + (1289*t[49])/288 + (5929*t[50])/1152 - 
       (325*t[51])/576 - (6569*t[52])/1152 - (323*t[53])/96 - 
       (2791*t[54])/384 + (7*t[59])/36 + (815*t[60])/192 + (1519*t[61])/192 - 
       (14663*t[62])/1152 + (14695*t[63])/1152 + (7577*t[64])/1152 - 
       (9031*t[65])/1728 + (19507*t[66])/1728 + t[69]/3 - (7*t[72])/9 - 
       (29*t[73])/12 - (3*t[74])/2 + (41*t[75])/4 + (35*t[76])/9 - 
       (43*t[77])/36 - (155*t[78])/18 - (29*t[79])/6 + (71*t[80])/18 - 
       (341*t[81])/72 + (35*t[82])/12 - 9*t[83] - (2491*t[84])/576 - 
       (3083*t[85])/576 + (97*t[86])/9 - (2363*t[87])/576 - 
       (2363*t[88])/1152 - (3521*t[89])/1152 + (5*t[96])/3 + (10*t[97])/9 + 
       (233*t[98])/6 - (227*t[99])/6 - (299*t[100])/24) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*((3*t[3])/2 + 4*t[4] + 
       (25*t[5])/2 + 10*t[6] + 6*t[7] + 11*t[8] - (13*t[9])/2 - 30*t[10] + 
       (23*t[11])/2 - (11*t[12])/2 + (175*t[13])/36 + (28*t[14])/3 - 
       2*t[15] - 4*t[27] - 2*t[28] + 2*t[29] - 2*t[31] + 4*t[35] + 2*t[36] - 
       2*t[39] + 2*t[40] - 4*t[45] - 2*t[46] + 8*t[47] + (17*t[48])/2 + 
       10*t[49] - (9*t[50])/2 - 3*t[51] + (9*t[52])/2 - 10*t[53] + t[54]/2 + 
       15*t[60] + 34*t[61] + (43*t[62])/4 + (97*t[63])/4 - 2*t[65] - 
       t[66]/3 - 4*t[72] - 2*t[74] - 2*t[77] + 8*t[80] + t[81] - t[82] - 
       16*t[83] + t[84]/2 - 4*t[86] - 7*t[87] - (7*t[88])/2 - 3*t[89] - 
       12*t[100]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (3*t[2] - t[3] - (21*t[4])/2 + 8*t[5] + (7*t[6])/2 + 18*t[7] + 9*t[8] + 
       (15*t[9])/2 - (59*t[10])/4 + (21*t[11])/2 + (31*t[12])/4 - 
       (59*t[13])/36 + (87*t[14])/8 + (11*t[15])/2 - 2*t[28] + 2*t[31] + 
       2*t[32] - 2*t[33] - 2*t[35] + 6*t[36] + 3*t[43] + 2*t[44] - t[46] - 
       (9*t[48])/2 - (29*t[49])/4 + t[50]/2 + (23*t[51])/8 - t[52]/2 + 
       (29*t[53])/4 + 5*t[54] + 15*t[60] + 34*t[61] + (43*t[62])/4 + 
       (97*t[63])/4 - 2*t[65] - t[66]/3 - 4*t[72] - 2*t[74] - 2*t[77] + 
       8*t[80] + t[81] - t[82] - 16*t[83] + t[84]/2 - 4*t[86] - 7*t[87] - 
       (7*t[88])/2 - 3*t[89] - 12*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*(-8*t[4] - (7*t[5])/8 + (13*t[7])/4 + 
       (13*t[8])/4 + (7*t[9])/8 - (7*t[10])/2 + (3*t[11])/4 - (39*t[12])/8 - 
       (5*t[13])/6 + (17*t[14])/6 - (35*t[15])/48 + 3*t[36] - 3*t[37] - 
       (5*t[49])/4 - (9*t[51])/8 + (5*t[53])/4 + 2*t[54] - 3*t[59] - 
       5*t[60] + (25*t[61])/2 - (49*t[62])/4 + (57*t[63])/4 + (59*t[64])/4 - 
       (17*t[65])/6 - (5*t[66])/2 - 6*t[69] + 3*t[70] - 3*t[71] - 3*t[73] - 
       15*t[75] + 3*t[79] + (31*t[83])/2 - 2*t[84] - 2*t[85] + 13*t[86] + 
       6*t[87] + 3*t[88] - (11*t[89])/4 - 12*t[100]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - v]*(t[1]/18 + (44*t[2])/9 + 
       (133*t[3])/72 + (40*t[4])/9 + (317*t[5])/24 + (439*t[6])/72 - 
       (69*t[7])/4 + (161*t[8])/18 - (1705*t[9])/72 - (41*t[10])/12 + 
       (11*t[11])/8 - (493*t[12])/72 + (439*t[13])/108 - (115*t[14])/54 - 
       (481*t[15])/324 + (5*t[20])/3 + t[23]/9 + 5*t[24] + (10*t[28])/3 - 
       (19*t[29])/6 + (79*t[30])/36 - 5*t[31] - (71*t[32])/36 + 
       (149*t[33])/36 - t[34]/9 - 19*t[35] - t[40]/9 - (91*t[44])/36 + 
       t[45]/9 - t[47]/9 + (601*t[48])/72 + (29*t[49])/18 - (45*t[50])/8 - 
       (29*t[51])/36 + (413*t[52])/72 - (29*t[53])/18 + (53*t[54])/24 - 
       (29*t[59])/36 - (23*t[60])/12 + (68*t[61])/9 + (52*t[62])/9 - 
       (851*t[63])/36 + (1333*t[64])/72 + (473*t[65])/108 - (529*t[66])/54 - 
       t[67]/6 - (10*t[69])/3 + (22*t[70])/9 - (22*t[71])/9 - 2*t[73] + 
       (37*t[74])/9 + (5*t[76])/9 - (17*t[78])/18 + 4*t[79] - t[80]/9 + 
       2*t[81] - (13*t[82])/6 - (22*t[83])/3 + (23*t[84])/36 - 
       (53*t[85])/18 - (44*t[86])/3 + (79*t[87])/12 + (275*t[88])/72 + 
       (623*t[89])/72 - (2*t[95])/9 + t[96]/3 + t[97]/9 + (8*t[98])/3 - 
       (8*t[99])/3 - 12*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((-7*t[1])/12 - (35*t[3])/18 + 
       (201*t[4])/16 - (1733*t[5])/288 + (107*t[6])/18 + (181*t[7])/48 + 
       (259*t[8])/48 + (767*t[9])/96 + (769*t[10])/288 + (203*t[11])/72 - 
       (13*t[12])/18 + (4565*t[13])/432 + (3667*t[14])/1728 - 
       (575*t[15])/1728 - (7*t[16])/12 + (17*t[25])/6 - (7*t[26])/3 + 
       t[28]/12 + t[29]/6 + t[30]/3 + t[31]/9 + t[32]/2 - t[33]/2 - 
       (7*t[35])/2 + (9*t[36])/4 + t[37]/6 - t[38]/2 + (3*t[39])/2 - 
       (3*t[40])/2 + (5*t[43])/9 + (13*t[44])/12 - (19*t[46])/6 + 
       (17*t[48])/24 + (841*t[49])/288 - (307*t[50])/72 + (565*t[51])/192 + 
       (307*t[52])/72 - (841*t[53])/288 + (413*t[54])/144 + (7*t[59])/6 - 
       (215*t[60])/72 + (95*t[61])/4 + (1525*t[62])/144 - (727*t[63])/48 - 
       (229*t[64])/24 + (335*t[65])/72 - (5119*t[66])/216 - (4*t[69])/3 - 
       t[72]/2 + (77*t[73])/12 - (11*t[74])/6 - (33*t[75])/4 + t[76]/3 + 
       (11*t[77])/6 - (5*t[78])/3 + (5*t[79])/3 - (11*t[80])/6 + 
       (10*t[81])/3 - (185*t[82])/36 - (23*t[83])/4 + (137*t[84])/36 + 
       (61*t[85])/36 - (295*t[86])/18 + (14*t[87])/9 + (7*t[88])/9 + 
       (155*t[89])/24 + t[97]/6 + (19*t[98])/3 - 4*t[99] - (71*t[100])/6) + 
     HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w]*((21*t[2])/2 + (15*t[3])/2 + 
       (63*t[4])/4 + (45*t[5])/8 + (3*t[6])/4 + (51*t[7])/4 - (37*t[8])/4 + 
       (55*t[9])/8 - (47*t[10])/8 + (89*t[11])/4 - (19*t[12])/4 + 
       (1159*t[13])/72 + (109*t[14])/16 + (115*t[15])/48 + 2*t[20] - 
       2*t[22] - 4*t[28] - 2*t[29] + 3*t[30] - 2*t[31] - 2*t[36] - 2*t[37] - 
       t[41] + t[42] - t[43] + 6*t[44] + t[46] - 2*t[47] - (3*t[48])/2 + 
       (45*t[49])/8 + 5*t[50] - (33*t[51])/16 - 5*t[52] - (45*t[53])/8 - 
       (49*t[54])/4 + (45*t[60])/4 + (37*t[61])/4 - (105*t[62])/8 - 
       (91*t[63])/8 - (491*t[64])/8 - (37*t[65])/4 - (127*t[66])/4 + 
       2*t[69] - 2*t[72] - 2*t[75] - 4*t[79] + 2*t[80] + t[81] - 3*t[82] + 
       11*t[83] - (7*t[84])/4 - (3*t[85])/4 + 8*t[86] - (3*t[87])/4 - 
       (3*t[88])/8 - (33*t[89])/8 + 12*t[99] - (23*t[100])/2) + 
     HPL[{0, 1, 1}, 1 - v]*Omega2[w, u, v]*((-21*t[3])/4 + (13*t[4])/2 - 
       (123*t[5])/8 - (57*t[6])/8 + (21*t[7])/4 - (9*t[8])/4 + (109*t[9])/8 - 
       (9*t[10])/4 + t[11]/8 + (3*t[12])/8 - (79*t[13])/24 + (33*t[14])/4 - 
       (41*t[15])/16 - t[25] + t[26] + t[27] - t[29] + 2*t[36] - t[46] - 
       (37*t[48])/8 - 6*t[49] - (17*t[50])/8 + t[51] + (17*t[52])/8 + 
       6*t[53] + (29*t[54])/8 + (45*t[60])/4 + (37*t[61])/4 - (105*t[62])/8 - 
       (91*t[63])/8 - (491*t[64])/8 - (37*t[65])/4 - (127*t[66])/4 + 
       2*t[69] - 2*t[72] - 2*t[75] - 4*t[79] + 2*t[80] + t[81] - 3*t[82] + 
       11*t[83] - (7*t[84])/4 - (3*t[85])/4 + 8*t[86] - (3*t[87])/4 - 
       (3*t[88])/8 - (33*t[89])/8 + 12*t[99] - (23*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      ((-3*t[1])/2 - (5*t[2])/2 - (379*t[3])/36 + (1063*t[4])/72 - 
       (2965*t[5])/288 - (5*t[6])/8 + (467*t[7])/32 - (4709*t[8])/288 + 
       (975*t[9])/32 - (4921*t[10])/288 + (3433*t[11])/144 + (755*t[12])/96 + 
       (4385*t[13])/432 + (10447*t[14])/576 - (2513*t[15])/576 + t[17]/4 + 
       (5*t[20])/3 - t[21] - 7*t[22] + t[23] + t[24] + (5*t[25])/36 - 
       (5*t[26])/36 - (5*t[27])/2 - (2*t[28])/3 - t[29]/2 + (7*t[30])/12 - 
       (9*t[31])/2 - (9*t[32])/2 + (8*t[33])/3 + 3*t[34] - (7*t[35])/2 - 
       t[36] + (25*t[37])/12 - t[38] - 2*t[39] + (3*t[40])/2 - t[41]/4 + 
       t[42]/4 - (25*t[43])/16 - (11*t[44])/12 - (33*t[45])/4 - 
       (145*t[46])/144 + 10*t[47] - (11*t[48])/3 + (91*t[49])/18 + 
       (76*t[50])/9 - (1085*t[51])/576 - (76*t[52])/9 - (91*t[53])/18 - 
       (35*t[54])/12 - t[56]/2 - t[57] + (19*t[59])/12 + (287*t[60])/18 + 
       (145*t[61])/4 - (319*t[62])/18 + (1189*t[63])/72 + (269*t[64])/144 - 
       (697*t[65])/48 - (1235*t[66])/36 - t[68]/2 + (19*t[69])/6 - 
       (7*t[70])/12 + (7*t[71])/12 + (5*t[72])/2 - 2*t[73] + (35*t[74])/24 - 
       (13*t[75])/6 - (13*t[77])/8 + (3*t[78])/2 - (26*t[79])/3 + t[80] + 
       (35*t[81])/8 - (13*t[82])/8 + (575*t[83])/72 + (113*t[84])/24 - 
       (317*t[85])/144 - (35*t[86])/18 - (2255*t[87])/144 - 
       (2255*t[88])/288 - (1487*t[89])/144 + t[93]/2 - t[95]/2 + t[97]/2 + 
       2*t[98] - (7*t[99])/2 - (137*t[100])/12) + 
     HPL[{1}, 1 - v]^2*Qep[w, u, v]*((-16*t[3])/9 + (128*t[4])/9 - 
       (44*t[5])/9 + (2*t[6])/3 + (32*t[8])/9 + (20*t[9])/3 + (88*t[10])/9 - 
       (26*t[11])/9 + 8*t[12] - (316*t[13])/27 + (220*t[14])/9 - 
       (46*t[15])/9 + (32*t[25])/9 - (32*t[26])/9 + (32*t[37])/3 - 
       (40*t[46])/9 + (2*t[48])/3 + (80*t[49])/9 - (26*t[50])/9 - 
       (26*t[51])/9 + (26*t[52])/9 - (80*t[53])/9 + (14*t[54])/3 + 
       (32*t[59])/3 - (44*t[60])/9 + (76*t[61])/3 - (110*t[62])/9 + 
       (278*t[63])/9 - (226*t[64])/9 - (112*t[65])/9 - 24*t[66] + 
       (64*t[69])/3 - (32*t[70])/3 + (32*t[71])/3 - (16*t[73])/3 - 16*t[75] + 
       (8*t[81])/3 - (8*t[82])/3 + (256*t[83])/9 + (4*t[85])/9 - 
       (64*t[86])/9 + (76*t[87])/9 + (38*t[88])/9 - (110*t[89])/9 - 
       (32*t[100])/3) + HPL[{1}, 1 - w]^2*Qep[w, u, v]*
      ((-104*t[3])/9 - (20*t[4])/9 - (232*t[5])/9 - (88*t[6])/9 + 
       (80*t[7])/3 - (104*t[8])/9 + (344*t[9])/9 + (106*t[10])/9 + 
       (100*t[11])/9 + (98*t[12])/9 - (20*t[13])/27 + (113*t[14])/9 + 
       (74*t[15])/9 - (32*t[20])/9 - (32*t[24])/3 - (64*t[28])/9 + 
       (16*t[29])/3 + (32*t[30])/9 + (32*t[31])/3 - (32*t[33])/9 + 
       (64*t[35])/3 + (32*t[44])/9 - (200*t[48])/9 - (26*t[49])/9 + 
       (88*t[50])/9 + (13*t[51])/9 - (88*t[52])/9 + (26*t[53])/9 - 4*t[54] + 
       (76*t[60])/9 + 28*t[61] - (242*t[62])/9 + (362*t[63])/9 - 
       (238*t[64])/9 - (176*t[65])/9 - 8*t[66] + (16*t[73])/3 - 
       (80*t[75])/3 - (8*t[81])/3 + (8*t[82])/3 + (208*t[83])/9 + 
       (28*t[85])/9 + (128*t[86])/9 - (44*t[87])/9 - (22*t[88])/9 - 
       (98*t[89])/9 - (32*t[100])/3) + HPL[{1}, 1 - w]^2*Qep[u, w, v]*
      (4*t[2] - (80*t[3])/9 + (88*t[4])/9 + (152*t[5])/9 - (112*t[6])/9 + 
       (4*t[7])/3 - (236*t[8])/9 - (100*t[9])/9 - (104*t[10])/9 + 
       (232*t[11])/9 - (88*t[12])/9 + (244*t[13])/27 + (50*t[14])/9 + 
       (178*t[15])/27 - (32*t[20])/9 + (32*t[24])/3 - (64*t[28])/9 - 
       (32*t[29])/3 + (128*t[30])/9 - (32*t[31])/3 - (32*t[33])/9 - 
       32*t[35] + (32*t[44])/9 - (80*t[48])/9 + (28*t[49])/9 + 
       (112*t[50])/9 - (14*t[51])/9 - (112*t[52])/9 - (28*t[53])/9 - 
       (56*t[54])/3 - (200*t[60])/9 + (136*t[61])/3 - (140*t[62])/9 + 
       (92*t[63])/9 + (140*t[64])/9 + (16*t[65])/9 - (272*t[66])/9 - 
       (32*t[73])/3 + (16*t[74])/3 - 32*t[75] + (16*t[79])/3 + (16*t[81])/3 - 
       (16*t[82])/3 + (256*t[83])/9 - (16*t[84])/3 - (104*t[85])/9 - 
       (16*t[86])/9 + (232*t[87])/9 + (116*t[88])/9 - (68*t[89])/9 - 
       (32*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[w, u, v]*
      ((32*t[4])/9 - (16*t[5])/9 + (32*t[7])/9 + (32*t[8])/9 + (16*t[9])/9 - 
       (16*t[10])/9 + (32*t[11])/3 + (32*t[12])/3 + (160*t[13])/27 - 
       (136*t[14])/27 + (8*t[15])/27 - (16*t[49])/9 + (8*t[51])/3 + 
       (16*t[53])/9 - (32*t[54])/9 + (32*t[60])/9 - (32*t[61])/9 - 
       (80*t[62])/9 - (80*t[63])/3 + (208*t[64])/9 + (160*t[65])/27 - 
       (160*t[66])/9 - (64*t[69])/3 + (128*t[75])/3 - (608*t[83])/9 + 
       (32*t[84])/9 + (32*t[85])/9 + (128*t[86])/9 - (32*t[87])/3 - 
       (16*t[88])/3 - (16*t[89])/9 - (32*t[100])/3) + 
     HPL[{0, 1}, 1 - w]*Qep[u, v, w]*((112*t[1])/9 - (440*t[2])/9 + 
       (224*t[3])/3 + (856*t[4])/9 + 48*t[5] - (664*t[6])/3 - (32*t[7])/3 - 
       (2048*t[8])/9 - (752*t[9])/9 - (44*t[10])/9 + (272*t[11])/3 - 
       (364*t[12])/9 + (9952*t[13])/81 - (1106*t[14])/9 - (976*t[15])/27 - 
       32*t[26] + (128*t[27])/9 - (256*t[28])/9 - (128*t[29])/9 + 
       (128*t[30])/9 + (448*t[31])/9 + (32*t[34])/9 + 64*t[35] - 
       (64*t[36])/3 - (64*t[37])/3 + (224*t[38])/9 - (32*t[39])/3 + 
       (64*t[40])/3 - (16*t[41])/9 + (16*t[42])/9 + (32*t[43])/9 + 
       (128*t[44])/9 + (16*t[46])/3 - (1064*t[48])/9 + (4*t[49])/3 - 
       (296*t[50])/9 + (46*t[51])/3 - (248*t[52])/9 + (116*t[53])/9 - 
       (520*t[54])/9 - (32*t[58])/3 - (112*t[59])/9 + 152*t[60] - 
       (544*t[61])/3 - (1580*t[62])/9 + (28*t[63])/9 + (1052*t[64])/9 - 
       (5624*t[65])/27 - (3448*t[66])/27 + (64*t[72])/9 + (32*t[73])/3 - 
       (160*t[75])/3 + (736*t[76])/9 + (160*t[77])/9 - (320*t[78])/9 + 
       (64*t[79])/3 + (320*t[80])/9 + (16*t[81])/9 + 48*t[82] + 
       (320*t[83])/3 - (680*t[84])/9 + (704*t[85])/9 + (1280*t[86])/9 - 
       (1288*t[87])/9 - (644*t[88])/9 - (764*t[89])/9 + (64*t[96])/3 + 
       (224*t[97])/9 + (2240*t[98])/3 - (2240*t[99])/3 - (32*t[100])/3) + 
     HPL[{0, 1}, 1 - v]*Qep[u, v, w]*((-128*t[1])/9 + (328*t[2])/9 + 
       (20*t[3])/9 - (184*t[4])/3 - (52*t[5])/9 + (797*t[6])/9 - 
       (244*t[7])/9 + 60*t[8] + (746*t[9])/9 - (172*t[10])/9 - 
       (1181*t[11])/9 - (196*t[12])/9 - (9044*t[13])/81 + (2873*t[14])/27 - 
       (2207*t[15])/81 - (128*t[27])/9 + (32*t[28])/3 - (32*t[29])/9 - 
       16*t[30] - (128*t[31])/9 - (128*t[32])/9 + (128*t[33])/9 + 
       (128*t[34])/9 - (64*t[35])/3 - (32*t[36])/3 + (64*t[37])/3 - 
       (64*t[38])/9 - (40*t[39])/9 - 8*t[40] - (64*t[41])/9 + (64*t[42])/9 + 
       (32*t[43])/9 + (16*t[44])/9 - (16*t[46])/3 - (128*t[47])/9 - 
       (19*t[48])/3 - (148*t[49])/9 - (353*t[50])/9 + (46*t[51])/9 + 
       (481*t[52])/9 - 12*t[53] + (271*t[54])/3 + (32*t[59])/9 + 
       (434*t[60])/3 - 26*t[61] + (391*t[62])/9 + (1369*t[63])/9 - 
       (793*t[64])/9 + (694*t[65])/27 - (862*t[66])/27 + (64*t[69])/3 + 
       (256*t[72])/9 - (32*t[73])/3 - 32*t[75] - (704*t[76])/9 - 
       (32*t[77])/9 + (1024*t[78])/9 + (64*t[79])/3 - (640*t[80])/9 + 
       (448*t[81])/9 - 16*t[82] + (160*t[83])/3 + (862*t[84])/9 + 
       (374*t[85])/9 + (896*t[86])/9 - (634*t[87])/9 - (317*t[88])/9 - 
       (527*t[89])/9 - (128*t[96])/3 - (256*t[97])/9 - (832*t[98])/3 + 
       (832*t[99])/3 - (32*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*(-t[1]/2 - (2*t[2])/3 - 
       (227*t[3])/48 + (1625*t[4])/96 - (775*t[5])/96 + (13*t[6])/3 + 
       (13*t[7])/4 - (43*t[8])/4 + (259*t[9])/32 - (299*t[10])/64 + 
       (395*t[11])/24 - (25*t[12])/64 + (791*t[13])/96 + (4055*t[14])/384 + 
       (461*t[15])/144 - t[20]/6 + t[26]/4 + t[27]/6 + (7*t[28])/2 + 
       t[29]/6 - t[30]/2 - t[32]/2 + (5*t[33])/6 + t[34]/6 - 2*t[35] - 
       (3*t[36])/2 + (5*t[37])/12 - t[38]/3 - t[39]/2 + t[40]/4 + t[41]/24 - 
       t[42]/24 - (11*t[43])/8 - (9*t[44])/4 - t[46] + t[47]/4 - 
       (7*t[48])/16 + (221*t[49])/192 + (71*t[50])/48 - (65*t[51])/384 - 
       (21*t[52])/16 - (95*t[53])/64 - (347*t[54])/96 + t[59]/24 + 
       (659*t[60])/32 + (1897*t[61])/96 + (1771*t[62])/192 - 
       (2227*t[63])/192 - (3097*t[64])/64 - (2623*t[65])/288 - 
       (7579*t[66])/288 - t[69]/4 + t[72]/4 + (49*t[73])/12 + (3*t[74])/2 + 
       (33*t[75])/4 - (8*t[76])/3 - (5*t[77])/12 + (17*t[78])/6 - 
       (89*t[79])/24 - (20*t[80])/3 + (29*t[81])/24 - (53*t[82])/24 - 
       (251*t[83])/24 + (293*t[84])/96 + (371*t[85])/96 - (187*t[86])/8 - 
       (519*t[87])/32 - (519*t[88])/64 - (973*t[89])/192 - t[96]/2 - 
       t[97]/3 - 17*t[98] + 24*t[99] - (61*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((27*t[2])/16 + (59*t[3])/72 + t[4]/24 - (607*t[5])/288 + 
       (311*t[6])/144 + (181*t[7])/36 - (35*t[8])/36 + (1013*t[9])/96 + 
       (37*t[10])/18 + (965*t[11])/144 + (1483*t[12])/288 + 
       (3217*t[13])/432 - (49*t[14])/432 + (1249*t[15])/1728 - t[20]/4 + 
       t[22]/4 + (5*t[28])/18 + (23*t[29])/36 + (13*t[30])/36 + 
       (11*t[31])/6 + (3*t[32])/4 - (3*t[33])/4 - (11*t[35])/6 - 
       (5*t[36])/4 - t[37]/4 + 2*t[39] - 2*t[40] - t[41]/8 + t[42]/8 + 
       t[43]/2 + (13*t[44])/36 + 2*t[45] + (29*t[46])/8 - (17*t[47])/4 - 
       (17*t[48])/12 - (119*t[49])/24 - (31*t[50])/18 - (7*t[51])/32 + 
       (31*t[52])/18 + (119*t[53])/24 - (41*t[54])/72 + (607*t[60])/36 + 
       (311*t[61])/144 + (3007*t[62])/288 - (267*t[63])/32 - 
       (7385*t[64])/288 + (1591*t[65])/216 - (2645*t[66])/144 - t[69]/4 + 
       t[72]/12 + 3*t[73] + (3*t[74])/2 + (23*t[75])/6 + (5*t[77])/4 + 
       (3*t[78])/2 - (13*t[79])/8 - (7*t[80])/4 + (21*t[81])/8 - 
       (27*t[82])/8 - (40*t[83])/9 + (161*t[84])/72 + (475*t[85])/144 - 
       (1009*t[86])/72 - (637*t[87])/48 - (637*t[88])/96 + (1529*t[89])/288 + 
       3*t[99] - (121*t[100])/12) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]^2*
      (7*t[3] - 7*t[4] + 21*t[5] + 17*t[6] - 3*t[7] + 19*t[8] - 13*t[9] - 
       (9*t[10])/2 + 13*t[11] + (11*t[12])/2 + (23*t[13])/6 + (59*t[14])/12 + 
       (3*t[15])/2 + 2*t[25] - 2*t[26] - 2*t[27] + 2*t[29] - 4*t[36] + 
       2*t[46] + 11*t[48] + (19*t[49])/2 - t[50] - (23*t[51])/4 + t[52] - 
       (19*t[53])/2 - 2*t[54] + t[60] + 5*t[61] + (9*t[62])/2 + 
       (43*t[63])/2 + (193*t[64])/2 - (4*t[65])/3 + (58*t[66])/3 - 4*t[69] + 
       4*t[72] + 4*t[75] + 8*t[79] - 4*t[80] - 2*t[81] + 6*t[82] - 22*t[83] + 
       8*t[84] + 5*t[85] - 15*t[87] - (15*t[88])/2 + (5*t[89])/2 - 16*t[99] - 
       10*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]^2*
      (-21*t[2] - 11*t[3] - 18*t[4] - 7*t[5] - (3*t[6])/2 + 5*t[7] + 3*t[8] + 
       2*t[9] - (31*t[11])/2 + 11*t[12] - (359*t[13])/18 - (53*t[14])/6 - 
       (67*t[15])/6 - 4*t[20] + 4*t[22] + 4*t[29] - 6*t[30] + 4*t[31] + 
       4*t[36] + 4*t[37] + 2*t[41] - 2*t[42] + 2*t[43] - 2*t[44] - 2*t[46] + 
       4*t[47] - t[48]/2 - 9*t[49] - (13*t[50])/2 + 3*t[51] + (13*t[52])/2 + 
       9*t[53] + (29*t[54])/2 + t[60] + 5*t[61] + (9*t[62])/2 + 
       (43*t[63])/2 + (193*t[64])/2 - (4*t[65])/3 + (58*t[66])/3 - 4*t[69] + 
       4*t[72] + 4*t[75] + 8*t[79] - 4*t[80] - 2*t[81] + 6*t[82] - 22*t[83] + 
       8*t[84] + 5*t[85] - 15*t[87] - (15*t[88])/2 + (5*t[89])/2 - 16*t[99] - 
       10*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*((-73*t[3])/12 + (455*t[4])/48 - (101*t[5])/32 + 
       (749*t[6])/96 - 12*t[7] + (107*t[8])/8 - (155*t[9])/96 - 
       (509*t[10])/96 + (31*t[11])/96 - (205*t[12])/48 + (181*t[13])/32 + 
       (499*t[14])/64 + (1169*t[15])/576 + t[25]/4 - t[26]/4 - t[27]/4 + 
       (53*t[28])/12 + (5*t[29])/6 - (4*t[30])/3 - (3*t[31])/4 - 2*t[32] + 
       2*t[33] - t[35] - (17*t[36])/12 - (3*t[39])/4 + (3*t[40])/4 - t[43] - 
       (55*t[44])/12 - t[45] - (11*t[46])/8 + 2*t[47] + (199*t[48])/32 + 
       (185*t[49])/96 - (527*t[50])/96 - (61*t[51])/64 + (527*t[52])/96 - 
       (185*t[53])/96 + (533*t[54])/96 + (205*t[60])/12 + (97*t[61])/48 + 
       (331*t[62])/32 - (877*t[63])/96 - (2447*t[64])/96 + (181*t[65])/24 - 
       (2681*t[66])/144 - t[69]/12 + t[72]/4 + (19*t[73])/6 + (3*t[74])/2 + 
       4*t[75] + (5*t[77])/4 + (3*t[78])/2 - (43*t[79])/24 - (7*t[80])/4 + 
       (21*t[81])/8 - (27*t[82])/8 - (17*t[83])/4 + (55*t[84])/24 + 
       (161*t[85])/48 - (109*t[86])/8 - (653*t[87])/48 - (653*t[88])/96 + 
       (511*t[89])/96 + 3*t[99] - 10*t[100]) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-3*t[2])/2 + (35*t[3])/36 - 
       (31*t[4])/6 - (1457*t[5])/288 - (101*t[6])/9 + (3365*t[7])/144 + 
       (2717*t[8])/144 - (883*t[9])/32 - (581*t[10])/144 + (985*t[11])/144 - 
       (1159*t[12])/288 - (56*t[13])/3 - (5491*t[14])/864 + 
       (45103*t[15])/1728 - 2*t[20] + (83*t[28])/36 - (7*t[29])/18 + 
       (173*t[30])/9 - (29*t[31])/6 + (9*t[32])/2 - 2*t[33] - 11*t[35] + 
       5*t[40] + (2*t[43])/3 + (227*t[44])/36 - (27*t[48])/4 - 
       (11*t[49])/12 + (391*t[50])/18 + (11*t[51])/24 - (391*t[52])/18 + 
       (11*t[53])/12 - (157*t[54])/18 - (1060*t[60])/9 + (5537*t[61])/72 - 
       (3473*t[62])/144 + (3851*t[63])/48 + (7663*t[64])/144 + 
       (15137*t[65])/216 + (6017*t[66])/72 - 2*t[69] - (29*t[72])/6 + 
       (17*t[73])/12 - 2*t[74] + (119*t[75])/12 - (26*t[76])/3 - 
       (8*t[78])/3 - t[79]/12 + (8*t[80])/3 - (43*t[81])/3 + t[82] - 
       (719*t[83])/36 - (433*t[84])/36 - (415*t[85])/36 + (761*t[86])/36 + 
       61*t[87] + (92*t[88])/3 - (997*t[89])/144 + 16*t[98] - 20*t[99] - 
       (29*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((5*t[1])/9 + (515*t[2])/144 + (1151*t[3])/288 + 
       (187*t[4])/48 + (635*t[5])/288 - (2149*t[6])/1152 + (449*t[7])/288 + 
       (611*t[8])/96 - (7361*t[9])/576 + (503*t[10])/288 + 
       (10645*t[11])/1152 - (277*t[12])/288 + (11371*t[13])/2592 - 
       (36049*t[14])/3456 + (55507*t[15])/10368 - t[20] + t[22] + 
       (5*t[27])/9 + (5*t[28])/4 + (103*t[29])/72 + (71*t[30])/24 - 
       (7*t[31])/9 + (11*t[32])/36 - (5*t[33])/9 - (14*t[34])/9 - 3*t[35] + 
       (5*t[36])/12 + t[37]/3 + (5*t[38])/18 + (85*t[39])/144 + 
       (5*t[40])/48 + t[41]/36 - t[42]/36 - (2*t[43])/9 + (127*t[44])/72 + 
       (23*t[46])/24 + t[47]/18 + (11*t[48])/384 + (53*t[49])/288 + 
       (1033*t[50])/1152 - (91*t[51])/576 - (1673*t[52])/1152 + 
       (89*t[53])/96 - (909*t[54])/128 + (7*t[59])/36 - (1819*t[60])/64 + 
       (829*t[61])/64 - (3239*t[62])/1152 + (3751*t[63])/1152 + 
       (12665*t[64])/1152 + (28829*t[65])/1728 + (7159*t[66])/1728 - 
       t[69]/6 + (13*t[72])/18 + (49*t[73])/12 - (9*t[75])/4 + (35*t[76])/9 + 
       (65*t[77])/36 - (119*t[78])/18 - (7*t[79])/3 - (19*t[80])/18 - 
       t[81]/9 - (29*t[82])/24 - (19*t[83])/12 - (4279*t[84])/576 - 
       (3827*t[85])/576 - (61*t[86])/18 + (8869*t[87])/576 + 
       (7717*t[88])/1152 + (2263*t[89])/1152 + t[95] + (5*t[96])/3 + 
       (10*t[97])/9 + (125*t[98])/6 - (113*t[99])/6 - (115*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*
      ((15*t[2])/4 - (73*t[3])/3 + (31*t[4])/4 - (61*t[5])/12 - (29*t[6])/3 + 
       (215*t[7])/12 - (469*t[8])/12 - 4*t[9] + (65*t[10])/24 + 
       (265*t[11])/12 - (61*t[12])/24 + (85*t[13])/18 + (1621*t[14])/144 + 
       (383*t[15])/72 - (34*t[28])/3 - (11*t[29])/3 + (26*t[30])/3 - 
       10*t[31] + 4*t[32] - 7*t[33] - 20*t[35] + (38*t[44])/3 - 6*t[48] + 
       (11*t[49])/8 + (38*t[50])/3 - (11*t[51])/16 - (38*t[52])/3 - 
       (11*t[53])/8 - (185*t[54])/12 - (3*t[59])/2 + (65*t[60])/12 + 
       (409*t[61])/12 - (31*t[62])/24 + (479*t[63])/8 - (799*t[64])/24 - 
       (205*t[65])/18 - 11*t[66] - t[69] - 8*t[72] - 7*t[73] - t[74] - 
       17*t[75] + 9*t[79] + (7*t[81])/2 - (7*t[82])/2 - (19*t[83])/6 - 
       (5*t[84])/6 - (31*t[85])/12 - (91*t[86])/3 + (25*t[87])/4 + 
       (21*t[88])/8 - (203*t[89])/24 - (19*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (t[3] - (365*t[4])/6 + (67*t[5])/96 + (67*t[6])/12 + (197*t[7])/48 + 
       (229*t[8])/48 - (643*t[9])/96 + (429*t[10])/16 - (2279*t[11])/48 - 
       (217*t[12])/32 - (905*t[13])/27 + (2033*t[14])/96 + (67*t[15])/576 - 
       (4*t[31])/3 - (4*t[35])/3 - (19*t[36])/12 - (4*t[45])/3 - 2*t[46] + 
       (8*t[47])/3 - t[48]/12 - (167*t[49])/12 + (7*t[50])/12 - 
       (269*t[51])/48 - (7*t[52])/12 + (137*t[53])/12 + (61*t[54])/6 - 
       (350*t[60])/3 + (1829*t[61])/24 - (1181*t[62])/48 + (3661*t[63])/48 + 
       (2591*t[64])/48 + (1703*t[65])/24 + (5927*t[66])/72 - (7*t[69])/6 - 
       4*t[72] + (9*t[73])/4 - 2*t[74] + (43*t[75])/4 - (26*t[76])/3 - 
       (8*t[78])/3 - (11*t[79])/12 + (8*t[80])/3 - (43*t[81])/3 + t[82] - 
       19*t[83] - (47*t[84])/4 - (45*t[85])/4 + (277*t[86])/12 + 
       (178*t[87])/3 + (179*t[88])/6 - (329*t[89])/48 + 16*t[98] - 20*t[99] - 
       (37*t[100])/4) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-85*t[1])/18 + (1397*t[2])/72 - 
       (2953*t[3])/144 - (80*t[4])/3 - (3811*t[5])/144 + (1283*t[6])/576 + 
       (4493*t[7])/144 + (1355*t[8])/48 + (4507*t[9])/288 - (1921*t[10])/36 - 
       (8579*t[11])/576 + (1339*t[12])/72 + (4663*t[13])/1296 - 
       (43723*t[14])/1728 + (31795*t[15])/5184 + t[17]/2 - (2*t[19])/3 + 
       4*t[20] + 4*t[21] - 4*t[22] - 4*t[23] - 3*t[24] - (56*t[27])/9 - 
       (25*t[28])/6 - (49*t[29])/18 + (101*t[30])/12 - (116*t[31])/9 + 
       (79*t[32])/9 + (49*t[33])/18 + (8*t[34])/9 - (7*t[35])/3 - 
       (7*t[36])/6 - t[37] - (77*t[38])/18 - (311*t[39])/72 - (31*t[40])/8 + 
       (19*t[41])/18 - (19*t[42])/18 - (52*t[43])/9 - (68*t[44])/9 - t[45] - 
       (11*t[46])/12 - (20*t[47])/9 + (691*t[48])/192 - (215*t[49])/18 + 
       (27457*t[50])/576 + (1933*t[51])/144 - (17729*t[52])/576 + 
       (25*t[53])/6 + (5129*t[54])/192 + (2*t[55])/3 - t[56] - (7*t[59])/36 + 
       (2683*t[60])/96 - (4829*t[61])/96 - (20675*t[62])/576 + 
       (31891*t[63])/576 + (52589*t[64])/576 - (21823*t[65])/864 + 
       (58051*t[66])/864 - t[68] - (11*t[69])/3 + 4*t[70] - 4*t[71] + 
       (187*t[72])/9 - (55*t[73])/6 - (39*t[75])/2 - (404*t[76])/9 - 
       (157*t[77])/18 + (1265*t[78])/18 - (47*t[79])/3 + (5*t[80])/9 - 
       (169*t[81])/18 + (119*t[82])/12 + (329*t[83])/6 + (5933*t[84])/288 - 
       (3167*t[85])/288 + (1046*t[86])/9 + (3721*t[87])/288 + 
       (12361*t[88])/576 - (24797*t[89])/576 + 2*t[93] - 4*t[95] - 
       (49*t[96])/3 - (131*t[97])/18 - (763*t[98])/3 + (919*t[99])/3 - 
       (55*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - u]*(t[3] - (15*t[4])/2 + (11*t[5])/8 - 
       (15*t[6])/16 + t[7]/8 - (15*t[8])/8 - (19*t[9])/8 + (5*t[10])/8 - 
       (31*t[11])/16 + (9*t[12])/2 - (77*t[13])/24 - (127*t[14])/48 - 
       (7*t[15])/48 - 2*t[25] + 2*t[26] + 6*t[36] + t[46] - (15*t[48])/16 - 
       (21*t[49])/4 + (17*t[50])/16 + t[51]/2 - (17*t[52])/16 + 
       (21*t[53])/4 - (17*t[54])/16 - (37*t[60])/8 - (49*t[61])/8 - 
       (33*t[62])/16 + (181*t[63])/16 + (173*t[64])/16 - (25*t[65])/6 + 
       (41*t[66])/4 - 6*t[69] - (9*t[73])/2 - (3*t[74])/2 + (3*t[75])/2 + 
       (9*t[79])/2 - (3*t[81])/4 + (3*t[82])/4 - t[84] - t[85]/8 + 
       (9*t[86])/2 + (61*t[87])/8 + (61*t[88])/16 - (17*t[89])/16 - 
       9*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-29*t[2])/8 - (43*t[3])/6 + (47*t[4])/24 + (23*t[5])/12 - 
       (91*t[6])/12 + (5*t[7])/8 - (709*t[8])/24 + (595*t[9])/24 + 
       (499*t[10])/48 + (233*t[11])/24 - (145*t[12])/48 + (83*t[13])/12 + 
       (357*t[14])/32 - (437*t[15])/72 + t[18] - (2*t[20])/3 + t[22] + 
       (11*t[28])/3 + (3*t[29])/2 - (10*t[30])/3 - 5*t[32] + t[33]/3 + 
       t[34] - 12*t[35] + t[37] + t[41]/2 - t[42]/2 - (10*t[44])/3 + t[47] - 
       (23*t[48])/12 - (5*t[49])/48 + (43*t[50])/12 - (73*t[51])/96 - 
       (43*t[52])/12 + (5*t[53])/48 - (31*t[54])/8 - t[59] + (185*t[60])/24 + 
       (121*t[61])/8 - (1487*t[62])/48 - (889*t[63])/48 + (1493*t[64])/48 - 
       (91*t[65])/12 - (373*t[66])/6 - t[67]/2 - 4*t[69] + (23*t[73])/2 + 
       (17*t[74])/2 - (53*t[75])/2 + (15*t[79])/2 - t[80] + (9*t[81])/4 - 
       (9*t[82])/4 + (13*t[83])/3 + 3*t[84] + (53*t[85])/24 + (25*t[86])/6 - 
       (121*t[87])/24 - (121*t[88])/48 - (203*t[89])/48 - 2*t[99] - 
       9*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-7*t[3])/12 + (31*t[4])/6 - (85*t[5])/24 - (47*t[6])/16 + 
       (61*t[7])/8 - (245*t[8])/24 + (57*t[9])/8 + (185*t[10])/24 + 
       (979*t[11])/48 - 6*t[12] + (793*t[13])/72 + (565*t[14])/48 - 
       (115*t[15])/48 + (25*t[25])/6 - (14*t[26])/3 - (3*t[29])/2 - 2*t[36] + 
       t[37] - t[38]/2 + (13*t[44])/4 + (8*t[46])/3 - (39*t[48])/16 + 
       (49*t[49])/6 + (67*t[50])/48 - (17*t[51])/3 - (67*t[52])/48 - 
       (49*t[53])/6 - (57*t[54])/16 - t[59] + (185*t[60])/24 + 
       (121*t[61])/8 - (1487*t[62])/48 - (889*t[63])/48 + (1493*t[64])/48 - 
       (91*t[65])/12 - (373*t[66])/6 - t[67]/2 - 4*t[69] + (23*t[73])/2 + 
       (17*t[74])/2 - (53*t[75])/2 + (15*t[79])/2 - t[80] + (9*t[81])/4 - 
       (9*t[82])/4 + (13*t[83])/3 + 3*t[84] + (53*t[85])/24 + (25*t[86])/6 - 
       (121*t[87])/24 - (121*t[88])/48 - (203*t[89])/48 - 2*t[99] - 
       9*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((5*t[1])/2 - 4*t[2] + (1643*t[4])/72 - 
       (6083*t[5])/144 - (215*t[6])/12 - (289*t[7])/72 - (4537*t[8])/72 + 
       (4283*t[9])/144 + (5215*t[10])/144 + (53*t[11])/8 - (397*t[12])/12 - 
       (2243*t[13])/216 + (49985*t[14])/864 - (15889*t[15])/864 + 
       (2*t[19])/3 - 4*t[26] + 2*t[27] + 2*t[28] - t[29] + 6*t[31] + t[34] + 
       4*t[35] - (55*t[36])/6 - (8*t[37])/3 + 3*t[38] + 2*t[39] - t[41]/2 + 
       t[42]/2 + 4*t[45] - (31*t[46])/6 - 8*t[47] - (99*t[48])/4 + 
       (2767*t[49])/144 - (3*t[50])/4 + (31*t[51])/96 - (17*t[52])/4 - 
       (2503*t[53])/144 + (235*t[54])/72 - t[58] - (5*t[59])/2 + 
       (3479*t[60])/72 - (1055*t[61])/72 - (11131*t[62])/144 + 
       (307*t[63])/16 + (245*t[64])/144 - (18647*t[65])/216 - 
       (8855*t[66])/72 - (13*t[69])/3 - 2*t[72] - (37*t[73])/6 + 
       (4*t[74])/3 - (79*t[75])/6 + 6*t[76] + 4*t[77] + (16*t[78])/3 - 
       (71*t[79])/6 - 8*t[80] + (25*t[81])/3 - (46*t[82])/3 + (374*t[83])/9 - 
       (913*t[84])/72 + (1043*t[85])/72 + (395*t[86])/18 - (301*t[87])/8 - 
       (847*t[88])/48 - (4697*t[89])/144 - (4*t[95])/3 + t[97] + 60*t[98] - 
       56*t[99] - (53*t[100])/6) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-t[1] + (17*t[3])/18 + (2245*t[4])/144 - 
       (47*t[5])/72 - (11*t[6])/48 - (27*t[7])/16 - (371*t[8])/144 - 
       (19*t[9])/24 + (1513*t[10])/288 - (841*t[11])/144 + (95*t[12])/32 + 
       (1639*t[13])/432 - (4247*t[14])/576 + (235*t[15])/288 + t[19]/3 - 
       (43*t[25])/18 - (4*t[26])/9 + t[29]/2 - t[37]/3 + (5*t[38])/2 - 
       (445*t[46])/72 + (25*t[48])/48 + (3857*t[49])/288 + (275*t[50])/144 - 
       (1015*t[51])/576 - (275*t[52])/144 - (3737*t[53])/288 - 
       (167*t[54])/24 + (14*t[59])/9 - (301*t[60])/144 - (733*t[61])/48 + 
       (3343*t[62])/288 - (2455*t[63])/288 - (11707*t[64])/288 - 
       (13*t[65])/48 + (11*t[66])/144 - t[67]/2 + t[69]/3 - (7*t[70])/6 + 
       (7*t[71])/6 + (15*t[73])/2 - t[74]/12 + (37*t[75])/6 - t[76]/6 + 
       (13*t[78])/3 - (7*t[79])/12 + t[80] - (11*t[81])/4 + (15*t[82])/4 - 
       (691*t[83])/36 + (27*t[84])/16 + (521*t[85])/144 + (199*t[86])/36 - 
       (2089*t[87])/144 - (1705*t[88])/288 - (1403*t[89])/288 + 4*t[99] - 
       (97*t[100])/12) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*((-169*t[2])/24 + (175*t[3])/12 + 
       (817*t[4])/24 - (1133*t[5])/48 + (5*t[6])/2 - (113*t[7])/24 - 
       (1123*t[8])/24 + (275*t[9])/48 + (815*t[10])/48 - (155*t[11])/24 + 
       (129*t[12])/8 - (83*t[13])/8 + (5737*t[14])/288 - (1501*t[15])/96 - 
       (3*t[17])/2 + (17*t[18])/6 + (3*t[19])/2 - t[20]/3 - t[21]/2 + 
       (5*t[23])/2 + t[24] - (11*t[28])/3 - t[29] + t[30]/3 - (17*t[31])/6 + 
       2*t[32] - (7*t[33])/3 + 4*t[35] + 2*t[36] + t[37]/2 - t[41]/2 + 
       (7*t[42])/6 - (19*t[43])/6 + t[44]/3 + (4*t[45])/3 - (8*t[46])/3 - 
       (17*t[47])/6 - (311*t[48])/24 + (65*t[49])/16 + (233*t[50])/24 - 
       (167*t[51])/96 - (233*t[52])/24 - (65*t[53])/16 - (53*t[54])/12 + 
       t[59]/6 + 21*t[60] + 22*t[61] + (101*t[62])/48 + (4069*t[63])/48 - 
       (393*t[64])/8 - (563*t[65])/24 - (111*t[66])/8 + t[67]/4 + t[69]/2 - 
       (3*t[70])/2 + (3*t[71])/2 - 4*t[72] + t[73] - (19*t[74])/3 - 4*t[75] + 
       2*t[76] - 2*t[77] - (7*t[78])/2 + (15*t[79])/4 - (63*t[80])/2 + 
       3*t[81] - (10*t[82])/3 + (13*t[83])/6 + (27*t[84])/8 - (5*t[85])/24 - 
       27*t[86] - (289*t[87])/24 - (289*t[88])/48 - (101*t[89])/6 - 
       t[94]/12 + 12*t[98] - 17*t[99] - 8*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (-t[1]/6 + (179*t[2])/24 + (13*t[3])/8 - (227*t[4])/12 + (7*t[5])/12 - 
       (41*t[6])/24 - (53*t[7])/24 - (349*t[8])/24 + (215*t[9])/12 - 
       (1325*t[10])/48 - (113*t[11])/4 - (775*t[12])/48 - (3569*t[13])/432 + 
       (113*t[14])/9 - (3839*t[15])/432 + t[16]/2 - t[25]/6 - (7*t[26])/3 - 
       (2*t[27])/3 - (9*t[28])/2 - (11*t[29])/3 - (7*t[30])/2 - 
       (31*t[31])/6 - (8*t[32])/3 + (8*t[33])/3 + (19*t[34])/6 + 
       (11*t[35])/2 + 8*t[36] - (3*t[37])/2 + (11*t[38])/12 - (16*t[39])/3 + 
       2*t[40] - (19*t[41])/12 + (19*t[42])/12 + (5*t[43])/12 + 
       (139*t[44])/12 - (3*t[45])/2 - (2*t[46])/3 - t[47]/6 - (37*t[48])/8 - 
       (181*t[49])/16 - (15*t[50])/8 + (29*t[51])/16 + (109*t[52])/24 - 
       (133*t[53])/48 + (117*t[54])/8 - (47*t[59])/24 + (1027*t[60])/24 - 
       (161*t[61])/8 + (125*t[62])/8 + (403*t[63])/24 - (877*t[64])/16 + 
       (1397*t[65])/72 - (43*t[66])/36 - t[68]/2 + 2*t[69] + t[70] - t[71] + 
       (16*t[72])/3 + t[73] - 3*t[74] - 31*t[75] - (257*t[76])/12 - 
       (43*t[77])/6 + (397*t[78])/12 + 9*t[79] - t[80]/3 + (43*t[81])/12 + 
       (5*t[82])/4 + (127*t[83])/6 + (313*t[84])/12 + (371*t[85])/24 + 
       47*t[86] - (7*t[87])/24 + (197*t[88])/48 - (41*t[89])/2 - t[95] - 
       (21*t[96])/2 - (73*t[97])/12 - 88*t[98] + 95*t[99] - (15*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-73*t[1])/24 + (635*t[2])/24 + (89*t[3])/48 + (5*t[4])/4 - 
       (155*t[5])/12 - (115*t[6])/24 + (241*t[7])/8 - (17*t[8])/8 + 
       (281*t[9])/12 - 48*t[10] + (145*t[11])/6 + 5*t[12] + 
       (3623*t[13])/216 + (173*t[14])/48 + (809*t[15])/288 + t[17]/4 - 
       t[19]/2 + t[20]/6 - t[21]/2 - (3*t[22])/2 + t[23]/2 - t[27]/3 - 
       (9*t[28])/2 - (95*t[29])/12 + (9*t[30])/2 - (25*t[31])/6 + 
       (11*t[32])/4 - (4*t[33])/3 + (35*t[34])/12 - 3*t[35] + (5*t[36])/2 - 
       2*t[37] - (19*t[38])/12 - (15*t[39])/4 - t[40]/2 - (47*t[41])/24 + 
       (47*t[42])/24 - (13*t[43])/12 + (75*t[44])/8 - (3*t[45])/2 + t[46]/2 + 
       (3*t[47])/2 - 10*t[48] - (77*t[49])/6 + 29*t[50] + (293*t[51])/48 - 
       (295*t[52])/12 + (13*t[53])/2 - (251*t[54])/24 - t[55]/2 - 
       (47*t[59])/24 + (1027*t[60])/24 - (161*t[61])/8 + (125*t[62])/8 + 
       (403*t[63])/24 - (877*t[64])/16 + (1397*t[65])/72 - (43*t[66])/36 - 
       t[68]/2 + 2*t[69] + t[70] - t[71] + (16*t[72])/3 + t[73] - 3*t[74] - 
       31*t[75] - (257*t[76])/12 - (43*t[77])/6 + (397*t[78])/12 + 9*t[79] - 
       t[80]/3 + (43*t[81])/12 + (5*t[82])/4 + (127*t[83])/6 + 
       (313*t[84])/12 + (371*t[85])/24 + 47*t[86] - (7*t[87])/24 + 
       (197*t[88])/48 - (41*t[89])/2 - t[95] - (21*t[96])/2 - (73*t[97])/12 - 
       88*t[98] + 95*t[99] - (15*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^3*((-5*t[1])/12 - (7*t[2])/24 + (45*t[3])/8 - 
       (211*t[4])/96 - (25*t[5])/16 - (151*t[6])/16 - (23*t[7])/8 - 
       (379*t[8])/24 - (29*t[9])/48 - (1745*t[10])/192 - (55*t[11])/16 - 
       (313*t[12])/192 + (4511*t[13])/864 - (1903*t[14])/128 - 
       (677*t[15])/192 - (3*t[26])/2 + (2*t[27])/3 - t[28]/3 + t[29]/3 - 
       t[30]/3 + (4*t[31])/3 + (7*t[34])/6 + 3*t[35] - t[37] + (2*t[38])/3 - 
       t[39]/2 + t[40] - (7*t[41])/12 + (7*t[42])/12 - t[43]/3 + t[44]/6 - 
       t[46]/4 - (287*t[48])/48 - (257*t[49])/64 + (133*t[50])/48 + 
       (269*t[51])/128 - (221*t[52])/48 + (515*t[53])/192 - (323*t[54])/96 - 
       t[58]/2 - (13*t[59])/12 + (103*t[60])/32 - (793*t[61])/32 + 
       (901*t[62])/192 + (1531*t[63])/192 + (1865*t[64])/192 + 
       (2285*t[65])/288 + (2815*t[66])/288 + (4*t[72])/3 + (3*t[73])/2 - 
       (9*t[75])/2 - (2*t[76])/3 - t[77]/6 + (13*t[78])/3 + 3*t[79] - 
       t[80]/3 + (11*t[81])/6 + (9*t[82])/4 + (15*t[83])/2 + (341*t[84])/96 + 
       (889*t[85])/96 + (32*t[86])/3 - (359*t[87])/96 - (359*t[88])/192 - 
       (473*t[89])/192 - 2*t[96] - (5*t[97])/6 + 11*t[98] - 13*t[99] - 
       (29*t[100])/4) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, u, v]*
      (t[1]/2 - (3*t[2])/4 + (5*t[3])/4 + (7*t[4])/4 - (5*t[5])/8 - 
       (7*t[6])/4 - 3*t[8] + (19*t[9])/8 + (27*t[10])/8 - t[11] - 
       (11*t[12])/4 - (17*t[13])/18 + (79*t[14])/48 - (127*t[15])/48 - 
       t[31] - t[36] - t[37] - t[43]/2 - t[48]/4 + (17*t[49])/8 + 
       (3*t[50])/4 - (17*t[51])/16 - (3*t[52])/4 - (17*t[53])/8 - t[54] + 
       (27*t[60])/4 + (9*t[61])/4 - 9*t[62] + t[63] - (41*t[64])/8 - 
       (23*t[65])/3 - (33*t[66])/4 + t[69] + t[72] - 2*t[73] + 3*t[79] + 
       2*t[80] + t[82] + t[83]/2 + t[84]/2 - t[85]/2 + 6*t[86] - 
       (13*t[87])/2 - (13*t[88])/4 - (37*t[89])/8 - 7*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((5*t[1])/8 + 5*t[2] - (127*t[3])/32 - (127*t[4])/8 + (17*t[5])/64 + 
       (275*t[6])/16 - (185*t[7])/32 - (11*t[8])/32 + (687*t[9])/64 - 
       (67*t[10])/4 - 21*t[11] - (759*t[12])/64 - (1349*t[13])/192 - 
       (391*t[14])/192 + (695*t[15])/384 + (3*t[16])/4 - 6*t[25] + 
       (5*t[26])/4 - 4*t[27] + (3*t[28])/2 - (7*t[29])/8 + t[30]/2 + 
       (5*t[31])/2 - (3*t[32])/2 + (3*t[33])/2 + (7*t[34])/4 - 6*t[35] + 
       6*t[36] - t[37] + t[38]/4 - (19*t[39])/8 - (45*t[40])/8 - 
       (7*t[41])/8 + (7*t[42])/8 + (41*t[43])/16 + (19*t[44])/4 - 
       (11*t[45])/16 - (17*t[46])/4 - t[47]/8 - (115*t[48])/32 - 
       (5*t[49])/32 - (29*t[50])/32 + (205*t[51])/32 + (133*t[52])/32 + 
       (69*t[53])/32 + (413*t[54])/32 - t[58]/4 - (5*t[59])/8 + 
       (25*t[60])/4 - (429*t[61])/16 + (803*t[62])/16 + (507*t[63])/16 - 
       (939*t[64])/32 + (1009*t[65])/48 + (713*t[66])/48 + (5*t[68])/2 - 
       3*t[70] + 3*t[71] - 3*t[72] + (7*t[73])/2 - 5*t[74] - (19*t[75])/2 + 
       4*t[77] + (11*t[78])/4 + 14*t[79] + (25*t[80])/4 + (35*t[81])/4 - 
       (19*t[82])/4 - (21*t[83])/2 + (73*t[84])/8 + (139*t[85])/8 - 
       (179*t[86])/8 - (183*t[87])/16 - (615*t[88])/32 + (69*t[89])/16 + 
       t[91]/24 - t[93]/2 + 3*t[95] - (3*t[96])/2 - (17*t[97])/4 + 27*t[98] - 
       32*t[99] - 7*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((19*t[1])/3 + t[2]/2 + 27*t[3] - 95*t[4] - 
       (23*t[5])/12 - (401*t[6])/12 + (119*t[7])/6 - (41*t[8])/6 - 
       (43*t[9])/4 - (827*t[10])/24 - 17*t[11] + (421*t[12])/24 - 
       (853*t[13])/36 - (721*t[14])/12 - (143*t[15])/9 - 2*t[16] + 2*t[20] + 
       2*t[21] - 2*t[23] - (29*t[25])/3 + (13*t[26])/3 - (23*t[28])/3 + 
       (8*t[29])/3 + (4*t[30])/3 - (37*t[31])/3 + 2*t[32] - 2*t[33] + 
       5*t[35] + (7*t[36])/3 - (4*t[37])/3 + (16*t[38])/3 - 7*t[39] + 
       7*t[40] + t[41] - t[42] + t[43]/3 + (4*t[44])/3 - 11*t[45] + 
       (3*t[46])/2 + 22*t[47] - (51*t[48])/4 - (187*t[49])/24 + 
       (95*t[50])/12 + (247*t[51])/24 - (71*t[52])/12 + (259*t[53])/24 + 
       (145*t[54])/12 - (7*t[59])/3 - (1931*t[60])/12 - (285*t[61])/4 - 
       (407*t[62])/8 + (389*t[63])/8 + (6563*t[64])/24 + (2173*t[65])/36 + 
       (3367*t[66])/36 + 2*t[72] + 2*t[73] - (19*t[74])/3 - 12*t[75] + 
       2*t[76] - 9*t[77] - 11*t[78] + 6*t[79] + 30*t[80] - 4*t[81] + 
       (20*t[82])/3 + (55*t[83])/3 - (113*t[84])/3 - (109*t[85])/6 + 
       (436*t[86])/3 + (581*t[87])/6 + (533*t[88])/12 - (41*t[89])/2 + 
       (8*t[95])/3 + 24*t[98] - 26*t[99] - 7*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      (t[1]/12 + (23*t[2])/6 - (1633*t[3])/24 - (307*t[4])/24 - 
       (269*t[5])/6 + (245*t[6])/6 + (181*t[7])/12 + (1267*t[8])/12 + 
       (383*t[9])/12 + (1451*t[10])/48 - (2*t[11])/3 + (477*t[12])/16 - 
       (1093*t[13])/54 + (22229*t[14])/288 + (5977*t[15])/216 - t[17]/2 + 
       4*t[19] + 16*t[20] - 4*t[21] + 4*t[23] - 6*t[24] + 3*t[26] - 
       (4*t[27])/3 + (5*t[28])/3 - (19*t[29])/2 - 4*t[30] - (7*t[31])/3 + 
       (43*t[32])/2 - 3*t[33] + t[34]/6 - (4*t[35])/3 - 2*t[36] - t[37] - 
       (10*t[38])/3 - 2*t[39] - (23*t[40])/2 + (17*t[41])/12 - 
       (17*t[42])/12 - (11*t[43])/6 - (73*t[44])/12 + (9*t[45])/2 + 2*t[46] - 
       10*t[47] + (49*t[48])/6 - (165*t[49])/16 + (49*t[50])/2 + 
       (49*t[51])/32 - (22*t[52])/3 + (431*t[53])/48 + (307*t[54])/8 - 
       4*t[57] + t[58] + (37*t[59])/6 + (1183*t[60])/24 + (1085*t[61])/8 - 
       (2681*t[62])/48 + (913*t[63])/48 - (4189*t[64])/48 + (99*t[65])/8 + 
       (131*t[66])/72 + t[68] + 2*t[69] + 6*t[70] - 6*t[71] + (53*t[72])/3 - 
       (59*t[73])/3 - 5*t[74] + 29*t[75] - (145*t[76])/6 + (4*t[77])/3 + 
       (100*t[78])/3 - (31*t[79])/3 - (31*t[80])/3 - (49*t[81])/6 + 
       (23*t[83])/3 + (535*t[84])/24 - (287*t[85])/8 - (74*t[86])/3 - 
       (13*t[87])/24 + (1307*t[88])/48 - (363*t[89])/16 + 2*t[93] - 6*t[95] - 
       8*t[96] + (5*t[97])/3 - 160*t[98] + 174*t[99] - 7*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^3*(t[1] - (13*t[2])/24 - 
       (283*t[3])/24 + (415*t[4])/96 - (989*t[5])/192 + (1025*t[6])/96 + 
       (13*t[7])/48 + 27*t[8] + (47*t[9])/192 + (463*t[10])/64 + 
       (119*t[11])/24 + (125*t[12])/96 + (851*t[13])/864 + 
       (15665*t[14])/1152 + (3451*t[15])/1152 - t[17]/2 - (5*t[20])/3 + 
       (5*t[22])/2 - t[24]/3 - t[27]/2 + (7*t[28])/6 + (3*t[29])/8 + 
       (5*t[30])/2 + t[31]/2 + (11*t[32])/4 - (5*t[34])/2 - t[35] - t[36] - 
       (2*t[37])/3 + (3*t[38])/4 - (11*t[39])/12 + (3*t[40])/8 + 
       (7*t[41])/12 - (7*t[42])/12 - (13*t[43])/96 - (7*t[44])/16 - 
       (9*t[45])/8 - t[46] + (21*t[47])/4 + (655*t[48])/96 + (69*t[49])/64 - 
       (119*t[50])/32 + (39*t[51])/128 + (87*t[52])/32 - (5*t[53])/64 + 
       (101*t[54])/16 + t[55]/12 + t[56]/4 + t[57]/2 + (13*t[59])/24 + 
       (691*t[60])/32 + (885*t[61])/32 - (2935*t[62])/192 - 
       (3017*t[63])/192 - (731*t[64])/64 - (149*t[65])/32 - (75*t[66])/32 + 
       (4*t[68])/3 + t[70] - t[71] - t[72] - (2*t[73])/3 + t[74] + 
       (8*t[75])/3 - 4*t[76] + (3*t[77])/2 + (55*t[78])/12 + (2*t[79])/3 + 
       (53*t[80])/12 - (7*t[81])/3 - (25*t[82])/12 - (29*t[83])/6 + 
       (377*t[84])/96 - (407*t[85])/96 - (7*t[86])/24 - (593*t[87])/96 + 
       (271*t[88])/192 + (1063*t[89])/192 + t[91]/72 - t[93]/6 - t[95] + 
       t[96]/2 + (5*t[97])/4 - 2*t[98] + t[99] - (41*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^3*((19*t[1])/24 - 2*t[2] - 
       (69*t[3])/32 + (95*t[4])/12 - (1375*t[5])/192 + (465*t[6])/64 + 
       (781*t[7])/96 + (295*t[8])/96 + (1337*t[9])/192 - (167*t[10])/48 + 
       (2089*t[11])/192 + (59*t[12])/64 + (2425*t[13])/1728 + 
       (341*t[14])/48 + (49*t[15])/128 - t[16]/12 - t[25]/6 - (7*t[26])/12 - 
       2*t[27] + (2*t[28])/3 + (3*t[29])/4 - t[30]/4 + t[31]/3 + t[32]/2 - 
       t[33]/2 - (3*t[34])/4 - (13*t[36])/6 - (7*t[37])/6 + t[38]/12 + 
       (5*t[39])/6 - (7*t[40])/8 + (3*t[41])/8 - (3*t[42])/8 + (3*t[43])/16 + 
       (17*t[44])/8 + t[45]/48 - t[46]/2 + (11*t[47])/24 + (71*t[48])/192 + 
       (97*t[49])/96 - (55*t[50])/64 - (17*t[51])/24 + (39*t[52])/64 - 
       (161*t[53])/96 - (511*t[54])/192 + t[58]/4 + (13*t[59])/24 + 
       (691*t[60])/32 + (885*t[61])/32 - (2935*t[62])/192 - 
       (3017*t[63])/192 - (731*t[64])/64 - (149*t[65])/32 - (75*t[66])/32 + 
       (4*t[68])/3 + t[70] - t[71] - t[72] - (2*t[73])/3 + t[74] + 
       (8*t[75])/3 - 4*t[76] + (3*t[77])/2 + (55*t[78])/12 + (2*t[79])/3 + 
       (53*t[80])/12 - (7*t[81])/3 - (25*t[82])/12 - (29*t[83])/6 + 
       (377*t[84])/96 - (407*t[85])/96 - (7*t[86])/24 - (593*t[87])/96 + 
       (271*t[88])/192 + (1063*t[89])/192 + t[91]/72 - t[93]/6 - t[95] + 
       t[96]/2 + (5*t[97])/4 - 2*t[98] + t[99] - (41*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      (-t[3]/6 + (3*t[4])/2 - (23*t[5])/48 - (7*t[6])/4 + (29*t[7])/12 + 
       (3*t[8])/4 + (31*t[9])/48 - (7*t[10])/6 + (109*t[11])/24 - 
       (51*t[12])/16 - (10*t[13])/9 + (223*t[14])/72 + (25*t[15])/288 + 
       (4*t[25])/3 - (4*t[26])/3 + t[27] - (5*t[36])/2 + t[46]/12 + t[48]/4 + 
       2*t[49] - t[50]/12 - (61*t[51])/48 + t[52]/12 - 2*t[53] + 
       (7*t[54])/12 + (13*t[60])/3 + (67*t[61])/12 - (43*t[62])/8 - 
       (7*t[63])/24 + (247*t[64])/24 - (347*t[65])/36 - (37*t[66])/12 - 
       t[69]/2 - (5*t[73])/2 + (9*t[74])/2 - (15*t[75])/2 + 2*t[79] + 
       (37*t[83])/4 - (4*t[84])/3 - (2*t[85])/3 + 5*t[86] - t[87]/3 - 
       t[88]/6 + (5*t[89])/24 - (27*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
      (t[1]/4 - (37*t[2])/48 - (9*t[3])/4 + (73*t[4])/12 - (19*t[5])/48 + 
       (77*t[6])/24 - (89*t[7])/24 + (13*t[8])/4 - (25*t[9])/24 + 
       (13*t[10])/12 + (25*t[11])/8 - (53*t[12])/48 + (1441*t[13])/288 + 
       (19*t[14])/48 - (287*t[15])/288 + t[18]/6 - t[20]/6 + (7*t[28])/24 + 
       t[30]/6 - (5*t[31])/8 - t[32]/2 + t[33]/3 - (41*t[35])/24 - t[36]/2 - 
       t[37]/4 + t[41]/8 - t[42]/8 - (9*t[43])/16 - (17*t[44])/24 - t[45]/4 - 
       t[46]/4 + t[47] + (107*t[48])/48 + (5*t[49])/6 - (29*t[50])/16 - 
       (11*t[51])/48 + (29*t[52])/16 - (5*t[53])/6 + (31*t[54])/48 - 
       (2*t[59])/3 + (77*t[60])/48 + (317*t[61])/48 + (91*t[62])/24 - 
       (45*t[63])/4 + (93*t[64])/32 - (37*t[65])/24 - (109*t[66])/16 - 
       (2*t[69])/3 + (7*t[70])/24 - (7*t[71])/24 + t[72] + t[73]/4 + 
       (11*t[74])/12 - t[75]/2 + t[77]/2 + t[78]/4 + (2*t[79])/3 - t[80]/4 + 
       t[81]/4 - (3*t[82])/8 - (11*t[83])/4 + t[84]/4 - (5*t[85])/12 - 
       (69*t[86])/8 - t[87]/12 - t[88]/24 + (227*t[89])/96 + t[99]/2 - 
       (25*t[100])/4) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (t[1] - (3*t[2])/2 + 5*t[3] - (10*t[4])/3 - (7*t[5])/12 - (25*t[6])/3 + 
       t[7] - (19*t[8])/3 + (17*t[9])/4 + (25*t[10])/6 - t[11] - 
       (13*t[12])/12 - (59*t[13])/9 + (11*t[14])/36 - (539*t[15])/72 - 
       t[25]/3 + t[26]/3 - t[28] - (7*t[31])/3 + t[35] - t[36] - 2*t[37] - 
       t[39] + t[40] - (2*t[43])/3 - t[45] - t[46]/3 + 2*t[47] - 
       (3*t[48])/2 + (7*t[49])/2 + (5*t[50])/2 - (13*t[51])/6 - (5*t[52])/2 - 
       (7*t[53])/2 - (19*t[54])/6 - (7*t[60])/12 - (81*t[61])/4 - 
       (107*t[62])/4 + (133*t[63])/6 + (65*t[64])/12 + (20*t[65])/3 + 
       (233*t[66])/36 - 4*t[73] - t[74] + t[75]/2 - t[77] - t[78] + 
       (37*t[79])/4 + (13*t[80])/2 - t[81] + (19*t[82])/6 + (73*t[83])/12 + 
       t[84]/3 - t[85] + (439*t[86])/12 - (13*t[87])/3 - (13*t[88])/6 - 
       (247*t[89])/24 - 6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - w]*((-17*t[2])/4 + 3*t[3] - (13*t[4])/4 - 
       (71*t[5])/8 - 3*t[6] + 10*t[7] + 6*t[8] + (29*t[9])/8 + (5*t[10])/8 - 
       2*t[11] + (21*t[12])/4 - (21*t[13])/4 - (223*t[14])/48 - t[15]/16 - 
       t[20] - 3*t[24] - 13*t[28] + 2*t[29] + 2*t[30] + 3*t[31] - t[33] + 
       12*t[35] + 5*t[44] - (11*t[48])/2 - (5*t[49])/8 + (3*t[50])/2 + 
       (5*t[51])/16 - (3*t[52])/2 + (5*t[53])/8 - t[54]/4 - (21*t[60])/4 - 
       (19*t[61])/4 - (91*t[62])/8 + (167*t[63])/8 + (63*t[64])/8 - 
       (29*t[65])/6 + 13*t[66] - 3*t[74] - 12*t[75] - (3*t[81])/2 + 
       (3*t[82])/2 + 16*t[83] - 2*t[84] + (3*t[85])/4 + 20*t[86] + 
       (17*t[87])/4 + (17*t[88])/8 - (27*t[89])/8 - 6*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-9*t[2])/8 + 6*t[3] - (17*t[4])/8 - (7*t[5])/4 + 3*t[6] + 
       (5*t[7])/8 + (93*t[8])/8 - (13*t[9])/8 - (65*t[10])/16 - 
       (31*t[11])/8 + (39*t[12])/16 - (23*t[13])/8 - (593*t[14])/96 - 
       (25*t[15])/4 + t[20]/2 - 7*t[28] + (7*t[29])/2 - 4*t[30] + 6*t[31] + 
       t[33]/2 + 15*t[35] - (5*t[44])/2 - t[48]/4 - t[49]/16 - (15*t[50])/4 + 
       t[51]/32 + (15*t[52])/4 + t[53]/16 + (31*t[54])/8 + (27*t[60])/8 - 
       (89*t[61])/8 - (89*t[62])/16 - (275*t[63])/16 + (261*t[64])/16 + 
       (13*t[65])/6 + (5*t[66])/4 + 6*t[72] + (3*t[73])/2 - (3*t[74])/2 + 
       (15*t[75])/2 - (3*t[79])/2 - (3*t[81])/4 + (3*t[82])/4 + 7*t[83] + 
       t[84] + (15*t[85])/8 + (37*t[86])/2 - (35*t[87])/8 - (35*t[88])/16 - 
       (9*t[89])/16 - 6*t[100]) + B10[u, v, w]*HPL[{1}, 1 - w]*
      (t[3] + t[5]/2 + t[7] + 2*t[8] + (3*t[9])/2 - t[10] - t[11] - t[12]/2 - 
       t[14]/6 - (5*t[15])/12 + t[60] - 2*t[61] - t[62] - 2*t[63] + t[64] + 
       t[65]/3 + 2*t[66] + 4*t[86] + t[89] - 6*t[100]) + 
     B10[u, v, w]*HPL[{1}, 1 - v]*(t[5]/2 + t[7] + t[8] - t[9]/2 - t[10] - 
       t[11] - t[12]/2 - t[14]/2 + t[15]/12 + t[60] - 2*t[61] - t[62] - 
       2*t[63] + t[64] + t[65]/3 + 2*t[66] + 4*t[86] + t[89] - 6*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-41*t[2])/4 - (81*t[3])/8 + (79*t[4])/4 - (11*t[5])/4 + 12*t[6] + 
       (15*t[7])/4 + (17*t[8])/2 - (61*t[9])/4 - (99*t[10])/8 + 
       (223*t[11])/8 + (3*t[12])/8 + (823*t[13])/48 + (67*t[14])/48 + 
       (371*t[15])/48 + (3*t[18])/2 + t[20] + 3*t[24] + 2*t[28] + 2*t[30] + 
       t[31] + t[33] + 9*t[35] + 3*t[36] + (3*t[37])/2 + (3*t[41])/4 - 
       (3*t[42])/4 + 2*t[43] - t[44] + (3*t[47])/2 + (23*t[48])/8 - 
       (15*t[49])/8 - (23*t[50])/8 + (31*t[51])/16 + (23*t[52])/8 + 
       (15*t[53])/8 - (11*t[54])/8 + (51*t[60])/4 + (175*t[61])/4 + 
       (295*t[62])/8 - (479*t[63])/8 - (95*t[64])/8 - (169*t[65])/6 - 
       (31*t[66])/2 + 5*t[69] - (9*t[70])/2 + (9*t[71])/2 + 3*t[72] + 
       6*t[73] + (3*t[75])/2 - (45*t[79])/2 - (3*t[80])/2 - 5*t[82] - 
       (41*t[83])/4 - 4*t[84] - t[85] - 51*t[86] + (9*t[87])/2 + 
       (9*t[88])/4 + (47*t[89])/8 - 6*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*(-t[1]/6 - (7*t[2])/6 + 
       (45*t[3])/4 + (17*t[4])/24 - (15*t[5])/4 - (87*t[6])/4 + t[7]/2 - 
       (181*t[8])/6 + (5*t[9])/6 - (821*t[10])/48 - t[11] - (265*t[12])/48 + 
       (1031*t[13])/216 - (1733*t[14])/96 - (1327*t[15])/144 - 3*t[26] + 
       (2*t[27])/3 - (10*t[28])/3 + (4*t[29])/3 + (2*t[30])/3 + (4*t[31])/3 + 
       (5*t[34])/3 + 6*t[35] + 3*t[36] - 2*t[37] + (5*t[38])/3 - 3*t[39] + 
       4*t[40] - (5*t[41])/6 + (5*t[42])/6 - t[43]/3 - t[44]/3 - 2*t[45] - 
       (5*t[46])/2 + 4*t[47] - (85*t[48])/6 - (13*t[49])/16 + (23*t[50])/6 + 
       (53*t[51])/32 - (49*t[52])/6 - (25*t[53])/48 - (161*t[54])/24 - 
       t[58] - (11*t[59])/6 + (141*t[60])/8 - (327*t[61])/8 - 
       (653*t[62])/48 + (1261*t[63])/48 + (707*t[64])/48 - (637*t[65])/72 + 
       (985*t[66])/72 + (4*t[72])/3 - 2*t[74] - 6*t[75] + (7*t[76])/3 - 
       (8*t[77])/3 + (4*t[78])/3 + 4*t[79] + (14*t[80])/3 + (4*t[81])/3 + 
       5*t[82] + 8*t[83] + (23*t[84])/24 + (343*t[85])/24 + (116*t[86])/3 - 
       (341*t[87])/24 - (341*t[88])/48 - (635*t[89])/48 - 2*t[96] - t[97]/3 + 
       32*t[98] - 32*t[99] - 6*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*(t[1]/4 + (167*t[2])/16 - (6017*t[3])/192 + 
       (167*t[4])/16 - (643*t[5])/64 - (1307*t[6])/768 + (5969*t[7])/192 - 
       (7249*t[8])/192 + (3343*t[9])/128 + (385*t[10])/96 + 
       (3249*t[11])/256 - (31*t[12])/16 + (10631*t[13])/1728 + 
       (47431*t[14])/2304 + (39353*t[15])/6912 - (23*t[20])/12 + t[24]/4 + 
       t[27]/4 + (61*t[28])/12 - (123*t[29])/16 + (129*t[30])/16 - 
       (5*t[31])/4 - t[32]/4 + (17*t[33])/6 + (77*t[34])/12 - (32*t[35])/3 - 
       (13*t[36])/8 + t[37]/4 + t[38]/8 + (7*t[39])/16 + (17*t[40])/16 + 
       t[41]/8 - t[42]/8 - (25*t[43])/24 + (935*t[44])/96 - t[46]/16 + 
       t[47]/4 - (16081*t[48])/768 + (47*t[49])/32 + (3173*t[50])/256 - 
       (13*t[51])/16 - (3237*t[52])/256 - (31*t[53])/32 - (4819*t[54])/768 - 
       (37*t[59])/12 + (5815*t[60])/384 + (16459*t[61])/384 - 
       (11653*t[62])/768 - (41*t[63])/256 - (29605*t[64])/768 - 
       (9173*t[65])/1152 - (48911*t[66])/1152 - (7*t[69])/4 - (5*t[72])/4 + 
       (71*t[73])/24 + 3*t[74] + (55*t[75])/8 - (4*t[76])/3 + (5*t[77])/2 + 
       (5*t[78])/12 - (29*t[79])/12 - (14*t[80])/3 + (17*t[81])/8 - 
       (41*t[82])/16 - (41*t[83])/2 + (2935*t[84])/384 + (777*t[85])/128 - 
       (269*t[86])/12 + (4823*t[87])/384 + (1501*t[88])/256 - 
       (2051*t[89])/768 + (3*t[96])/4 + t[97]/2 + (7*t[98])/2 - (7*t[99])/2 - 
       6*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((27*t[2])/8 + (3*t[3])/4 + t[4]/6 + (65*t[5])/48 + (3*t[6])/4 - 
       (41*t[7])/12 + 7*t[8] + (349*t[9])/48 - (2*t[10])/3 + (23*t[11])/24 - 
       (13*t[12])/16 + (7*t[13])/6 + (365*t[14])/144 - (17*t[15])/32 - 
       t[20]/3 + t[28]/6 - t[29]/3 + (2*t[30])/3 + 2*t[31] - 3*t[32] + 
       (13*t[33])/6 + 3*t[35] - (23*t[44])/6 - (4*t[48])/3 - t[49]/12 - 
       (3*t[50])/2 + t[51]/24 + (3*t[52])/2 + t[53]/12 + (5*t[54])/3 + 
       7*t[60] + (47*t[61])/12 - (157*t[62])/24 - (235*t[63])/24 + 
       (97*t[64])/8 - (271*t[65])/36 - (73*t[66])/12 + (3*t[69])/2 + 
       2*t[72] - t[73]/2 + (9*t[74])/2 - (11*t[75])/2 + (139*t[83])/12 - 
       (2*t[84])/3 + (29*t[86])/3 - (13*t[87])/3 - (13*t[88])/6 + 
       (3*t[89])/8 - (23*t[100])/4) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*(-t[1]/4 + (123*t[2])/4 - (23*t[3])/4 - 
       (543*t[4])/16 + (689*t[5])/32 + (1271*t[6])/16 - (415*t[7])/4 + 
       167*t[8] - (1839*t[9])/32 - (2707*t[10])/32 - (671*t[11])/8 - 
       (63*t[12])/2 - (913*t[13])/36 - (2039*t[14])/192 - (381*t[15])/64 - 
       (7*t[17])/4 + (31*t[19])/4 - 4*t[20] + (17*t[21])/2 + 13*t[22] - 
       (17*t[23])/2 + (47*t[24])/2 - 2*t[26] + 12*t[27] + 11*t[28] + 
       (7*t[29])/4 - (13*t[30])/2 - 2*t[31] + 17*t[32] + (11*t[33])/2 + 
       (21*t[34])/2 + (39*t[35])/2 - t[36] - (25*t[37])/4 - 2*t[38] + 
       8*t[39] - (51*t[40])/4 + (17*t[41])/4 - (17*t[42])/4 - (93*t[43])/16 - 
       (39*t[44])/8 - (41*t[45])/4 + (13*t[46])/2 - 9*t[47] + 
       (953*t[48])/16 - (701*t[49])/32 - (835*t[50])/16 + (249*t[51])/64 + 
       (1107*t[52])/16 + (573*t[53])/32 + (355*t[54])/4 + (11*t[55])/8 + 
       2*t[56] - 5*t[57] + 3*t[59] + (43*t[60])/16 - (651*t[61])/16 + 
       (2697*t[62])/32 + (223*t[63])/32 + (997*t[64])/32 - (263*t[65])/48 + 
       (6137*t[66])/48 + (3*t[68])/2 + 4*t[70] - 4*t[71] + (17*t[72])/2 - 
       21*t[73] + 43*t[74] + 77*t[75] + (133*t[76])/8 + 4*t[77] - 
       (83*t[78])/8 - 36*t[79] + (77*t[80])/2 - (75*t[81])/4 + 30*t[82] - 
       (139*t[83])/2 + (317*t[84])/16 - (31*t[85])/16 - (451*t[86])/4 + 
       (291*t[87])/16 + (875*t[88])/32 - (737*t[89])/32 - t[91]/12 - t[93] - 
       4*t[95] - 10*t[96] + 12*t[98] - 30*t[99] - (11*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-27*t[1])/4 + (37*t[2])/4 + (225*t[3])/16 - (311*t[4])/4 + 
       (2527*t[5])/32 - (1009*t[6])/32 - (169*t[7])/16 - (1095*t[8])/16 - 
       (2333*t[9])/32 - 6*t[10] + (2993*t[11])/32 + (1311*t[12])/32 + 
       (4331*t[13])/288 - (2165*t[14])/48 + (7459*t[15])/192 - 3*t[16] - 
       7*t[25] + 19*t[26] - t[27]/2 + 5*t[28] - (29*t[29])/4 - (41*t[30])/4 - 
       (13*t[31])/2 - 3*t[32] + 3*t[33] + (11*t[34])/2 - (23*t[35])/2 - 
       31*t[36] - (17*t[37])/2 - (15*t[38])/2 + (77*t[39])/8 + (27*t[40])/4 - 
       (7*t[41])/4 + (7*t[42])/4 + (87*t[43])/8 + (17*t[44])/2 + 
       (137*t[45])/8 + 19*t[46] - (149*t[47])/4 - (717*t[48])/32 - 
       (829*t[49])/16 + (435*t[50])/32 + (27*t[51])/2 - (771*t[52])/32 + 
       (801*t[53])/16 - (819*t[54])/32 - (3*t[58])/2 + 3*t[59] + 
       (43*t[60])/16 - (651*t[61])/16 + (2697*t[62])/32 + (223*t[63])/32 + 
       (997*t[64])/32 - (263*t[65])/48 + (6137*t[66])/48 + (3*t[68])/2 + 
       4*t[70] - 4*t[71] + (17*t[72])/2 - 21*t[73] + 43*t[74] + 77*t[75] + 
       (133*t[76])/8 + 4*t[77] - (83*t[78])/8 - 36*t[79] + (77*t[80])/2 - 
       (75*t[81])/4 + 30*t[82] - (139*t[83])/2 + (317*t[84])/16 - 
       (31*t[85])/16 - (451*t[86])/4 + (291*t[87])/16 + (875*t[88])/32 - 
       (737*t[89])/32 - t[91]/12 - t[93] - 4*t[95] - 10*t[96] + 12*t[98] - 
       30*t[99] - (11*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - w]*((-11*t[1])/36 + t[2]/12 - (7*t[3])/12 + 
       (11*t[4])/6 - (239*t[5])/288 + t[6]/3 + (95*t[7])/144 + 
       (127*t[8])/144 + (359*t[9])/288 + (407*t[10])/144 + (127*t[11])/144 - 
       (941*t[12])/288 + (89*t[13])/108 + (4697*t[14])/864 - 
       (869*t[15])/576 + (10*t[25])/9 - (7*t[26])/9 + (47*t[36])/36 + 
       (10*t[37])/9 - t[38]/3 - t[40]/18 - (10*t[46])/9 + (5*t[48])/9 + 
       (91*t[49])/72 - t[50]/2 - (97*t[51])/144 + (11*t[52])/18 - 
       (29*t[53])/24 + t[54]/36 + (4*t[59])/9 + t[60]/18 + (85*t[61])/8 - 
       (769*t[62])/144 + (769*t[63])/144 - (133*t[64])/48 - (223*t[65])/72 - 
       (2299*t[66])/216 - (5*t[69])/6 - (2*t[70])/9 + (2*t[71])/9 - 
       (29*t[73])/12 + (10*t[74])/9 - (59*t[75])/12 + t[76]/6 - t[78]/2 + 
       (29*t[79])/12 + (7*t[81])/18 - t[82]/3 + (68*t[83])/9 + (14*t[84])/9 + 
       (13*t[85])/18 - (65*t[86])/36 + (133*t[87])/36 + (305*t[88])/72 - 
       (31*t[89])/48 - (2*t[95])/9 + t[96]/3 - t[97]/18 + (4*t[98])/3 - 
       (4*t[99])/3 - (65*t[100])/12) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2*
      (t[1]/6 - (51*t[2])/16 + t[3]/48 - (95*t[4])/48 - (217*t[5])/32 - 
       (215*t[6])/64 + (91*t[7])/16 + (29*t[8])/12 + t[9]/4 + 
       (103*t[10])/32 + (29*t[11])/192 + (3*t[12])/8 - (395*t[13])/72 - 
       (671*t[14])/144 - (1043*t[15])/864 + t[18]/6 - t[20] + t[22]/3 - 
       t[24]/2 + t[27]/6 - (25*t[28])/12 + (7*t[29])/6 - t[30]/12 + 
       (2*t[31])/3 + t[32] - (5*t[33])/3 - t[34]/6 + 3*t[35] + (5*t[36])/6 + 
       t[37] + t[38]/12 + (13*t[39])/48 + t[40]/16 + t[41]/3 - t[42]/3 + 
       t[43]/2 + t[44]/16 + t[46]/4 + (2*t[47])/3 - (223*t[48])/192 - 
       (71*t[49])/96 + (125*t[50])/192 + (17*t[51])/64 - (157*t[52])/192 + 
       (103*t[53])/96 - (67*t[54])/64 - (5*t[59])/24 - (1025*t[60])/96 + 
       (437*t[61])/96 - (2569*t[62])/192 + (1369*t[63])/192 + 
       (1745*t[64])/64 + (1781*t[65])/288 + (1027*t[66])/288 + t[67]/24 + 
       t[69]/4 - t[70]/6 + t[71]/6 + t[72]/6 + 2*t[73] - t[74] - 
       (3*t[75])/2 + (5*t[76])/3 + t[77]/12 - (25*t[78])/6 - (13*t[79])/12 - 
       t[80]/2 - t[81]/4 - (11*t[82])/6 + (53*t[83])/24 - (247*t[84])/96 - 
       (29*t[85])/32 + (137*t[86])/12 + (225*t[87])/32 + (225*t[88])/64 + 
       (215*t[89])/64 + t[96]/2 + t[97]/3 + (17*t[98])/2 - (53*t[99])/6 - 
       (43*t[100])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[w, u, v]*
      (t[3]/2 - (11*t[4])/6 - (7*t[5])/12 - (11*t[6])/8 + (29*t[7])/12 + 
       (41*t[8])/12 + t[9]/12 - (49*t[10])/12 + (17*t[11])/8 - (9*t[12])/2 - 
       (4*t[13])/9 + (259*t[14])/72 - (125*t[15])/72 + t[25] - t[26] - 
       t[28] - t[31] + t[35] + t[36] - t[37] - t[39] + t[40] - t[45] - 
       t[46] + 2*t[47] + t[48]/8 + (13*t[49])/6 + t[50]/8 - t[51] - t[52]/8 - 
       (13*t[53])/6 + (17*t[54])/24 - t[59] - (25*t[60])/12 + 
       (103*t[61])/12 - (301*t[62])/24 + (43*t[63])/8 + (257*t[64])/24 - 
       (20*t[65])/9 - (25*t[66])/6 - 2*t[69] + t[70] - t[71] - t[73] - 
       8*t[75] - t[77] - t[78] + t[79] + 2*t[80] - t[81]/2 + t[82]/2 + 
       (53*t[83])/6 - (4*t[84])/3 - (13*t[85])/12 + (41*t[86])/3 + 
       (19*t[87])/4 + (19*t[88])/8 - (101*t[89])/24 - 5*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((16*t[1])/3 - (37*t[2])/6 - (70*t[3])/3 + 32*t[4] - (49*t[5])/12 + 
       (1163*t[6])/48 + (419*t[7])/12 + (271*t[8])/4 + (271*t[9])/24 + 
       (187*t[10])/6 + (2581*t[11])/48 + (43*t[12])/6 + (1075*t[13])/108 + 
       (3617*t[14])/144 + (9865*t[15])/432 + (16*t[27])/3 + 6*t[28] + 
       (53*t[29])/6 + 9*t[30] - (14*t[31])/3 + (16*t[32])/3 - (16*t[33])/3 - 
       (16*t[34])/3 - 12*t[35] + 6*t[36] + 10*t[37] + (8*t[38])/3 + 
       (61*t[39])/6 - 5*t[40] + (8*t[41])/3 - (8*t[42])/3 + (8*t[43])/3 - 
       (73*t[44])/6 + 3*t[46] + (16*t[47])/3 + (91*t[48])/16 + t[49]/6 - 
       (551*t[50])/48 - (7*t[51])/6 + (295*t[52])/48 + (21*t[53])/2 - 
       (39*t[54])/16 + (23*t[59])/3 - (53*t[60])/8 + (1499*t[61])/8 - 
       (2291*t[62])/48 - (269*t[63])/48 + (821*t[64])/48 - (367*t[65])/72 - 
       (2741*t[66])/72 + 10*t[69] - (2*t[72])/3 + 18*t[73] + 2*t[75] + 
       (94*t[76])/3 + (34*t[77])/3 - (140*t[78])/3 - 14*t[79] - 
       (28*t[80])/3 + (31*t[81])/3 - 16*t[82] - 29*t[83] - (715*t[84])/24 - 
       (995*t[85])/24 - (226*t[86])/3 + (397*t[87])/24 + (397*t[88])/48 + 
       (1819*t[89])/48 + 16*t[96] + (32*t[97])/3 + 164*t[98] - 164*t[99] - 
       5*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
      (-t[1]/36 + (23*t[2])/36 - (385*t[3])/72 + (16*t[4])/9 - 
       (569*t[5])/288 - (71*t[6])/36 + (553*t[7])/144 - (535*t[8])/144 + 
       (181*t[9])/32 + (59*t[10])/144 + (629*t[11])/144 - (151*t[12])/288 + 
       (413*t[13])/216 + (1535*t[14])/288 + (10153*t[15])/5184 - 
       (2*t[20])/3 + t[23]/9 - (109*t[28])/36 - (41*t[29])/18 + 
       (7*t[30])/18 + (5*t[31])/6 + (2*t[32])/9 - (19*t[33])/18 + 
       (5*t[34])/6 - t[35]/3 + (2*t[40])/9 + (8*t[44])/9 - (131*t[48])/36 + 
       (7*t[49])/36 + (20*t[50])/9 - (7*t[51])/72 - (47*t[52])/18 - 
       (7*t[53])/36 - (83*t[54])/36 + (4*t[59])/9 + (7*t[60])/6 + 
       (715*t[61])/72 - (839*t[62])/144 + (199*t[63])/144 - (289*t[64])/144 - 
       (479*t[65])/216 - (2569*t[66])/216 - (2*t[70])/9 + (2*t[71])/9 + 
       (5*t[72])/6 - (19*t[73])/12 + (10*t[74])/9 - (49*t[75])/12 + t[76]/6 - 
       t[78]/2 + (19*t[79])/12 + (7*t[81])/18 - t[82]/3 + (307*t[83])/36 + 
       (11*t[84])/6 + t[85] + (5*t[86])/36 + (73*t[87])/36 + (245*t[88])/72 - 
       (83*t[89])/144 - (2*t[95])/9 + t[96]/3 - t[97]/18 + (4*t[98])/3 - 
       (4*t[99])/3 - 5*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Omega2[v, w, u]*((27*t[2])/4 + 4*t[3] - 2*t[4] + (75*t[5])/8 + 
       (5*t[6])/2 + (9*t[7])/2 + (13*t[8])/2 + (21*t[9])/8 - (29*t[10])/4 - 
       (3*t[11])/2 + (15*t[12])/8 + (7*t[13])/36 + (17*t[14])/8 + 
       (227*t[15])/48 - t[20] + t[22] + t[29] + t[30] + t[32] - t[33] - 
       4*t[35] + t[36] - t[37] - t[41]/2 + t[42]/2 - t[44] - t[46]/2 - 
       t[47] - t[48]/4 - (3*t[49])/4 + (3*t[50])/4 - (3*t[52])/4 + 
       (3*t[53])/4 - (3*t[54])/4 + (9*t[60])/4 - (5*t[61])/4 + (41*t[62])/2 + 
       (19*t[63])/2 - (297*t[64])/8 + (17*t[65])/12 + (125*t[66])/12 - 
       t[69] - t[72] - 3*t[75] - t[77] - 2*t[78] + 4*t[79] + t[80] - 
       (5*t[81])/2 + (11*t[82])/2 - (9*t[83])/2 - t[84]/2 - (3*t[85])/4 - 
       10*t[86] - t[87]/4 - t[88]/8 - (35*t[89])/8 + 2*t[99] - 5*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      ((5*t[3])/2 + (7*t[4])/2 + (47*t[5])/8 - (5*t[6])/8 - (3*t[7])/2 + 
       (5*t[8])/2 - (41*t[9])/8 - (33*t[10])/4 - (9*t[11])/8 - (5*t[12])/8 + 
       t[13]/12 - (3*t[14])/2 + (13*t[15])/48 + t[25] - t[26] + t[27] - 
       t[28] - t[31] + t[36] - t[39] + t[40] - (3*t[46])/2 + (13*t[48])/8 + 
       (3*t[49])/4 - (11*t[50])/8 + (11*t[52])/8 - (3*t[53])/4 + 
       (15*t[54])/8 + (9*t[60])/4 - (5*t[61])/4 + (41*t[62])/2 + 
       (19*t[63])/2 - (297*t[64])/8 + (17*t[65])/12 + (125*t[66])/12 - 
       t[69] - t[72] - 3*t[75] - t[77] - 2*t[78] + 4*t[79] + t[80] - 
       (5*t[81])/2 + (11*t[82])/2 - (9*t[83])/2 - t[84]/2 - (3*t[85])/4 - 
       10*t[86] - t[87]/4 - t[88]/8 - (35*t[89])/8 + 2*t[99] - 5*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((2*t[3])/3 - (9*t[4])/2 - (299*t[5])/96 - (14*t[6])/3 + 
       (329*t[7])/48 - (373*t[8])/48 + (37*t[9])/32 - (19*t[10])/24 + 
       (61*t[11])/48 + (197*t[12])/96 - (1093*t[13])/288 - (61*t[14])/72 + 
       (853*t[15])/576 - (13*t[28])/3 - (2*t[29])/3 + (2*t[30])/3 + t[32]/2 - 
       t[33]/2 + t[35]/2 + t[36]/2 + t[43]/4 + (53*t[44])/12 - 
       (67*t[48])/16 - (27*t[49])/16 + (185*t[50])/48 + (27*t[51])/32 - 
       (185*t[52])/48 + (27*t[53])/16 - (71*t[54])/48 - (13*t[60])/3 + 
       (16*t[61])/3 - (557*t[62])/48 + (167*t[63])/16 + (235*t[64])/48 - 
       (299*t[65])/144 + (295*t[66])/48 - t[73] - t[74]/2 - 8*t[75] - 
       t[77]/2 - t[78]/2 + (3*t[79])/2 + t[80] - (11*t[81])/8 + 
       (11*t[82])/8 + (71*t[83])/6 - (31*t[84])/48 - (7*t[85])/3 + 
       (49*t[86])/6 + (47*t[87])/8 + (47*t[88])/16 - (271*t[89])/48 - t[99] - 
       (37*t[100])/8) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2*((9*t[3])/16 - (23*t[4])/6 + (211*t[5])/96 + 
       (3*t[6])/16 + (59*t[7])/48 + (53*t[8])/48 - (241*t[9])/96 - 
       (17*t[10])/24 - t[11] - (13*t[12])/32 - (121*t[13])/32 + 
       (571*t[14])/288 - (373*t[15])/576 - t[28]/2 - t[31]/2 + t[35]/2 + 
       2*t[36] - t[39]/2 + t[40]/2 - t[45]/2 - (11*t[46])/8 + t[47] + 
       (11*t[48])/16 + (17*t[49])/48 + (21*t[50])/16 + t[51]/4 - 
       (21*t[52])/16 - (17*t[53])/48 - (47*t[54])/48 - (13*t[60])/3 + 
       (16*t[61])/3 - (557*t[62])/48 + (167*t[63])/16 + (235*t[64])/48 - 
       (299*t[65])/144 + (295*t[66])/48 - t[73] - t[74]/2 - 8*t[75] - 
       t[77]/2 - t[78]/2 + (3*t[79])/2 + t[80] - (11*t[81])/8 + 
       (11*t[82])/8 + (71*t[83])/6 - (31*t[84])/48 - (7*t[85])/3 + 
       (49*t[86])/6 + (47*t[87])/8 + (47*t[88])/16 - (271*t[89])/48 - t[99] - 
       (37*t[100])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - u]*(3*t[1] - (5*t[3])/2 + 9*t[4] - (31*t[5])/4 + 
       (65*t[6])/8 - (5*t[7])/4 + (31*t[8])/4 + (41*t[9])/4 - (7*t[10])/4 - 
       (47*t[11])/8 - (17*t[12])/2 - (19*t[13])/6 + (511*t[14])/24 - 
       (27*t[15])/8 + 2*t[16] - t[25] - 2*t[26] - 2*t[27] + 3*t[38] - 
       3*t[46] + (9*t[48])/8 + 5*t[49] - (31*t[50])/8 - (11*t[51])/4 + 
       (31*t[52])/8 - 8*t[53] + (47*t[54])/8 - (3*t[59])/2 + (75*t[60])/4 + 
       (103*t[61])/4 - (57*t[62])/8 + (99*t[63])/8 - (193*t[64])/8 - 
       (5*t[65])/6 - 26*t[66] + 9*t[69] + 2*t[72] + 3*t[73] - t[74] - 
       7*t[75] - t[79] + (7*t[81])/2 - (7*t[82])/2 + (17*t[83])/2 + 
       (5*t[84])/2 + (3*t[85])/4 - 7*t[86] - (55*t[87])/4 - (59*t[88])/8 - 
       (61*t[89])/8 - (9*t[100])/2) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*(15*t[4] + (149*t[5])/8 + 6*t[6] - 
       (39*t[7])/4 - (85*t[8])/4 - (33*t[9])/8 - (15*t[10])/2 + 
       (45*t[11])/4 - (51*t[12])/8 + (433*t[13])/24 + t[14]/2 - 
       (811*t[15])/48 - 8*t[28] - 3*t[44] + (21*t[48])/4 + (27*t[49])/4 - 
       (21*t[50])/4 - (27*t[51])/8 + (21*t[52])/4 - (27*t[53])/4 - 
       (33*t[54])/4 + (27*t[60])/2 - (5*t[61])/2 + (45*t[62])/4 - 
       (229*t[63])/4 + 11*t[64] + (37*t[65])/12 - (647*t[66])/12 - 40*t[73] + 
       45*t[75] + (19*t[81])/2 - (19*t[82])/2 + 40*t[83] + (3*t[84])/4 + 
       (27*t[85])/2 - 12*t[87] - 6*t[88] + 12*t[89] - (9*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*((-3*t[3])/4 + 16*t[4] - 
       (117*t[5])/8 - 6*t[6] + (3*t[7])/4 + (9*t[8])/4 + (123*t[9])/8 + 
       2*t[10] + (55*t[11])/4 + (21*t[12])/8 + (253*t[13])/24 + 
       (67*t[14])/24 - (79*t[15])/16 + (19*t[46])/2 - 6*t[48] - (9*t[49])/4 - 
       (15*t[50])/2 - (21*t[51])/4 + (15*t[52])/2 + (9*t[53])/4 + 
       (15*t[54])/2 + (27*t[60])/2 - (5*t[61])/2 + (45*t[62])/4 - 
       (229*t[63])/4 + 11*t[64] + (37*t[65])/12 - (647*t[66])/12 - 40*t[73] + 
       45*t[75] + (19*t[81])/2 - (19*t[82])/2 + 40*t[83] + (3*t[84])/4 + 
       (27*t[85])/2 - 12*t[87] - 6*t[88] + 12*t[89] - (9*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]^2*((5*t[1])/8 - 2*t[2] + 
       (5*t[3])/8 + (59*t[4])/64 + (5*t[5])/2 - (65*t[6])/32 - (21*t[7])/8 + 
       t[8]/2 - (39*t[9])/8 - (375*t[10])/128 - (9*t[11])/32 - 
       (347*t[12])/128 + (71*t[13])/576 + (767*t[14])/768 - (667*t[15])/384 - 
       (3*t[26])/4 - t[27]/2 - t[28] + (3*t[29])/2 - (3*t[30])/4 + t[31]/2 - 
       t[34]/4 + 3*t[35] + (5*t[36])/4 - t[37]/2 + (3*t[38])/4 - 
       (3*t[39])/4 + (3*t[40])/2 + t[41]/8 - t[42]/8 + t[43]/4 - t[44]/2 - 
       t[45] - (11*t[46])/8 + 2*t[47] + (9*t[48])/32 + (539*t[49])/128 - 
       (143*t[50])/32 - (279*t[51])/256 + (87*t[52])/32 - (411*t[53])/128 - 
       t[54]/64 - t[58]/4 - t[59]/8 + (247*t[60])/64 + (491*t[61])/64 - 
       (1173*t[62])/128 + (549*t[63])/128 + (1123*t[64])/128 - 
       (745*t[65])/192 - (113*t[66])/64 - t[72] + 2*t[73] - t[74] - t[75] + 
       (19*t[76])/4 - (13*t[78])/2 - (3*t[79])/2 + (7*t[80])/2 - t[81]/8 - 
       t[82]/2 - (5*t[83])/2 - (269*t[84])/64 + (59*t[85])/64 + 
       (11*t[86])/2 - (177*t[87])/64 - (177*t[88])/128 + (53*t[89])/128 + 
       (3*t[96])/2 + (5*t[97])/4 + 27*t[98] - 27*t[99] - (9*t[100])/2) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-15*t[1])/4 + (45*t[2])/8 - (25*t[3])/4 + (547*t[4])/32 - 
       (107*t[5])/6 + (485*t[6])/48 + (17*t[7])/4 + (17*t[8])/3 + 
       (62*t[9])/3 + (1547*t[10])/192 + (115*t[11])/48 + (1279*t[12])/192 - 
       (695*t[13])/96 + (5551*t[14])/384 - (341*t[15])/576 + (9*t[26])/2 + 
       (4*t[27])/3 + (5*t[28])/3 - t[29]/3 + t[30]/2 - (11*t[31])/3 + 
       t[34]/2 - (23*t[35])/3 - (17*t[36])/6 + (5*t[37])/3 - (13*t[38])/3 + 
       (2*t[39])/3 - (8*t[40])/3 - t[41]/4 + t[42]/4 - (2*t[43])/3 - 
       t[44]/3 + 2*t[45] + t[46]/2 - 4*t[47] + (17*t[48])/16 - 
       (1535*t[49])/192 + (467*t[50])/48 - (269*t[51])/384 - (203*t[52])/48 + 
       (245*t[53])/64 - (71*t[54])/96 + (5*t[58])/6 + (19*t[59])/12 + 
       (1717*t[60])/96 - (371*t[61])/96 + (1385*t[62])/192 - 
       (4969*t[63])/192 - (15455*t[64])/192 - (1195*t[65])/288 - 
       (5473*t[66])/288 + (8*t[72])/3 - (17*t[73])/6 + 3*t[74] - 
       (5*t[75])/6 - (23*t[76])/2 - (3*t[77])/2 + (32*t[78])/3 - t[79] - 
       (22*t[80])/3 - (3*t[81])/2 - (17*t[82])/12 + (10*t[83])/3 + 
       (579*t[84])/32 + (397*t[85])/96 - (8*t[86])/3 - (827*t[87])/96 - 
       (443*t[88])/192 - (481*t[89])/192 - 2*t[95] - 4*t[96] - (7*t[97])/2 - 
       79*t[98] + 87*t[99] - (9*t[100])/2) + HPL[{1}, 1 - w]^4*
      HPL[{0, 1, 1}, 1 - v]*((-211*t[2])/288 + (1963*t[3])/144 - 
       (649*t[4])/288 + (2477*t[5])/144 + (1747*t[6])/288 - (693*t[7])/32 + 
       (2747*t[8])/288 - (9263*t[9])/288 - (917*t[10])/576 - (79*t[11])/18 - 
       (925*t[12])/576 + (259*t[13])/216 - (7037*t[14])/384 + 
       (163*t[15])/288 - (7*t[20])/18 + (5*t[24])/12 - (55*t[28])/36 - 
       (97*t[29])/24 - (89*t[30])/72 - (2*t[31])/3 - (55*t[32])/12 + 
       (317*t[33])/72 - (5*t[34])/3 - (25*t[35])/6 + t[36]/2 + (7*t[43])/24 + 
       (289*t[44])/72 + (1253*t[48])/288 - (305*t[49])/576 - 
       (2803*t[50])/288 + (305*t[51])/1152 + (2803*t[52])/288 + 
       (305*t[53])/576 + (127*t[54])/24 - (4*t[59])/9 - (5599*t[60])/288 + 
       (331*t[61])/96 + (2473*t[62])/576 - (12613*t[63])/576 + 
       (21359*t[64])/576 + (2335*t[65])/144 + (637*t[66])/72 - (4*t[69])/3 + 
       (3*t[70])/4 - (3*t[71])/4 - (5*t[73])/8 + (41*t[74])/24 - 
       (5*t[75])/24 - (13*t[76])/6 + t[77]/12 + (13*t[79])/8 + (7*t[80])/6 - 
       (109*t[81])/48 - (13*t[82])/16 - (145*t[83])/72 - (31*t[84])/16 - 
       (475*t[85])/288 + (55*t[86])/72 + (3911*t[87])/288 + 
       (3935*t[88])/576 + (3937*t[89])/576 + 4*t[98] - 5*t[99] - 
       (25*t[100])/6) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*(t[1]/4 + (29*t[3])/36 + (59*t[4])/48 + 
       (37*t[5])/288 + t[6]/36 + (527*t[7])/144 - (319*t[8])/144 + 
       (137*t[9])/96 + (353*t[10])/288 + (127*t[11])/36 + (115*t[12])/144 + 
       (875*t[13])/432 - (1997*t[14])/1728 - (37*t[15])/1728 - 
       (49*t[28])/36 - t[29]/18 + (5*t[30])/9 + (5*t[31])/6 + t[32]/2 - 
       t[33]/2 + t[35]/3 - t[36]/4 - t[37]/2 + t[39]/2 - t[40]/2 + t[43]/3 + 
       (47*t[44])/36 + t[45]/2 + (3*t[46])/4 - t[47] - (35*t[48])/24 - 
       (7*t[49])/32 + (49*t[50])/72 + (11*t[51])/64 - (49*t[52])/72 + 
       (7*t[53])/32 - (203*t[54])/144 + (61*t[60])/72 + (235*t[61])/36 - 
       (89*t[62])/144 - (15*t[63])/16 - (41*t[64])/36 - (979*t[65])/216 - 
       (179*t[66])/36 + t[72]/6 - t[73]/4 - (13*t[75])/12 - (3*t[79])/4 + 
       t[80] - t[82]/3 + (127*t[83])/36 - (5*t[84])/18 + t[85]/18 - 
       (61*t[86])/36 + (5*t[87])/12 + (5*t[88])/24 - (37*t[89])/36 + 
       2*t[99] - (25*t[100])/6) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 
       1 - v]*((-61*t[2])/12 + (19*t[3])/6 + (17*t[4])/12 - (2*t[5])/3 - 
       (19*t[6])/6 + (17*t[7])/4 - (97*t[8])/12 + (61*t[9])/12 + t[10]/24 + 
       (71*t[11])/12 + (5*t[12])/24 + (43*t[13])/18 + (163*t[14])/48 + 
       (14*t[15])/3 - (4*t[20])/3 - (8*t[28])/3 - t[29] + (4*t[30])/3 - 
       (4*t[33])/3 - 2*t[35] + (4*t[44])/3 - (23*t[48])/6 + t[49]/24 + 
       (19*t[50])/6 - t[51]/48 - (19*t[52])/6 - t[53]/24 - (13*t[54])/4 + 
       (3*t[59])/2 - (19*t[60])/12 + (47*t[61])/4 - (187*t[62])/24 + 
       (127*t[63])/24 + (35*t[64])/24 - (71*t[65])/9 - (23*t[66])/2 - t[73] + 
       t[74] - 5*t[75] + t[79] + t[81]/2 - t[82]/2 + (20*t[83])/3 - 
       (7*t[85])/12 + (7*t[86])/3 + (35*t[87])/12 - (15*t[88])/8 - 
       (59*t[89])/24 - 4*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*((-2*t[3])/3 + t[4]/3 - (13*t[5])/12 + 
       (5*t[6])/8 + (5*t[7])/4 + (31*t[8])/12 + (7*t[9])/4 + (11*t[10])/12 + 
       (7*t[11])/24 - (5*t[12])/2 + t[13]/36 + (151*t[14])/24 - 
       (25*t[15])/24 + (4*t[25])/3 - (4*t[26])/3 - (2*t[46])/3 + 
       (5*t[48])/8 + (11*t[49])/6 - (17*t[50])/24 - (5*t[51])/4 + 
       (17*t[52])/24 - (11*t[53])/6 + (11*t[54])/8 + (3*t[59])/2 - 
       (19*t[60])/12 + (47*t[61])/4 - (187*t[62])/24 + (127*t[63])/24 + 
       (35*t[64])/24 - (71*t[65])/9 - (23*t[66])/2 - t[73] + t[74] - 
       5*t[75] + t[79] + t[81]/2 - t[82]/2 + (20*t[83])/3 - (7*t[85])/12 + 
       (7*t[86])/3 + (35*t[87])/12 - (15*t[88])/8 - (59*t[89])/24 - 
       4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Ot[u, v, w]*
      ((-2*t[3])/3 - (7*t[5])/24 - (5*t[6])/6 + (19*t[7])/12 - (5*t[8])/12 - 
       (7*t[9])/8 - (7*t[10])/12 + (17*t[11])/12 + (7*t[12])/24 - 
       (2*t[13])/9 + (43*t[14])/72 + (89*t[15])/144 - (11*t[28])/3 - 
       (4*t[29])/3 + (4*t[30])/3 + (7*t[44])/3 - (3*t[48])/2 + (5*t[50])/6 - 
       (5*t[52])/6 - (5*t[54])/6 - (5*t[60])/3 + (25*t[61])/6 - 
       (37*t[62])/12 + (23*t[63])/4 + (23*t[64])/12 - (47*t[65])/18 + 
       t[66]/6 - t[73] - 5*t[75] + t[79] + (20*t[83])/3 - (2*t[84])/3 - 
       (2*t[85])/3 + (7*t[86])/3 + 3*t[87] + (3*t[88])/2 - (17*t[89])/12 - 
       4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Ot[u, v, w]*
      ((-5*t[4])/3 - (7*t[5])/24 + (7*t[7])/12 + (7*t[8])/12 + (7*t[9])/24 - 
       (5*t[10])/12 - (3*t[11])/4 - (7*t[12])/8 - (13*t[13])/9 + 
       (119*t[14])/72 - (47*t[15])/144 + t[36] - t[49]/6 - t[51]/2 + 
       t[53]/6 + (2*t[54])/3 - (5*t[60])/3 + (25*t[61])/6 - (37*t[62])/12 + 
       (23*t[63])/4 + (23*t[64])/12 - (47*t[65])/18 + t[66]/6 - t[73] - 
       5*t[75] + t[79] + (20*t[83])/3 - (2*t[84])/3 - (2*t[85])/3 + 
       (7*t[86])/3 + 3*t[87] + (3*t[88])/2 - (17*t[89])/12 - 4*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-3*t[2])/8 + (9*t[3])/4 - (3*t[4])/2 - (5*t[5])/24 - (13*t[6])/6 - 
       t[7]/8 - (11*t[8])/8 + t[9] + (37*t[10])/24 - (19*t[11])/12 - 
       t[12]/6 - (53*t[13])/24 - (85*t[14])/72 - (49*t[15])/24 - 
       (2*t[31])/3 - t[36]/2 - t[43]/3 + (5*t[49])/12 + t[50]/3 - t[51]/4 - 
       t[52]/3 - (5*t[53])/12 - t[54]/3 - (5*t[60])/6 - (19*t[61])/2 - 
       (25*t[62])/6 + 2*t[63] + (7*t[64])/2 + (121*t[65])/18 + (43*t[66])/9 + 
       t[72] - t[73] + (7*t[79])/2 + (4*t[82])/3 - 2*t[83] + (2*t[84])/3 - 
       (2*t[85])/3 + (47*t[86])/6 - (4*t[87])/3 - (2*t[88])/3 - (3*t[89])/4 - 
       4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      ((-133*t[2])/36 + (55*t[3])/24 + t[4]/6 - (133*t[5])/96 + 
       (1463*t[6])/96 - (481*t[7])/48 + (259*t[8])/16 - (497*t[9])/96 + 
       (19*t[10])/48 - (1409*t[11])/96 + (39*t[12])/32 - (611*t[13])/432 - 
       (625*t[14])/144 - (4337*t[15])/1728 - t[20]/6 + (5*t[23])/12 + 
       t[24]/2 - (17*t[28])/12 - (41*t[29])/12 + (35*t[30])/24 - t[31] - 
       (115*t[32])/24 + (121*t[33])/24 - (25*t[35])/6 - t[43]/12 + 
       (49*t[44])/8 + (529*t[48])/96 - t[49]/3 - (245*t[50])/32 + t[51]/6 + 
       (245*t[52])/32 + t[53]/3 + (1499*t[54])/96 + (77*t[59])/72 + 
       (169*t[60])/48 - (121*t[61])/48 + (177*t[62])/32 - (677*t[63])/32 + 
       (719*t[64])/96 + (1327*t[65])/144 + (2569*t[66])/144 - 2*t[69] + 
       t[70] - t[71] - t[72]/2 + (5*t[73])/12 - t[74]/3 - (19*t[75])/12 - 
       (17*t[76])/12 - t[77]/6 + (3*t[79])/4 - t[80]/3 - t[81]/3 + t[82]/3 - 
       (49*t[83])/12 + (149*t[84])/48 + (31*t[85])/16 + (7*t[86])/4 + 
       (517*t[87])/48 + (521*t[88])/96 + (1409*t[89])/96 - 2*t[98] + 
       2*t[99] - 4*t[100]) + HPL[{0, 1}, 1 - v]*M1[v, u, w]*
      (-t[1]/3 - (19*t[2])/12 - (235*t[3])/24 - t[4]/4 - (107*t[5])/12 + 
       (179*t[6])/24 + (31*t[7])/3 + (3*t[8])/2 + (265*t[9])/12 + 
       (5*t[10])/24 - (53*t[11])/24 + (29*t[12])/24 - (623*t[13])/216 + 
       (2551*t[14])/144 + (191*t[15])/432 + t[20] - t[22] - t[27]/3 - 
       (11*t[29])/6 - 3*t[30] - t[31]/3 + t[32]/6 + t[33]/3 + (7*t[34])/3 + 
       t[37] - t[38]/6 - t[39]/6 - t[41]/6 + t[42]/6 + t[43]/3 - 
       (19*t[44])/12 - t[47]/3 - (11*t[48])/8 - (31*t[49])/24 + 
       (31*t[50])/24 + (23*t[51])/48 - (23*t[52])/24 + (5*t[53])/8 + 
       (59*t[54])/8 + (4*t[59])/3 + 29*t[60] + (53*t[61])/4 - 
       (107*t[62])/24 - (185*t[63])/24 - (667*t[64])/24 - (149*t[65])/18 - 
       (199*t[66])/18 + 2*t[69] + (2*t[72])/3 + t[74] - (4*t[76])/3 - 
       t[77]/3 + (5*t[78])/3 - (8*t[80])/3 + (13*t[81])/6 - (3*t[82])/2 + 
       t[83] + (29*t[84])/3 + (73*t[85])/12 - (2*t[86])/3 - (161*t[87])/12 - 
       (113*t[88])/24 + (41*t[89])/12 - 2*t[95] - t[96] - (2*t[97])/3 - 
       8*t[98] + 8*t[99] - 4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*(-t[1]/2 - (3*t[2])/4 - 
       (49*t[3])/24 + (41*t[4])/12 - (5*t[5])/24 + (49*t[6])/24 - 
       (37*t[7])/6 - (53*t[8])/12 + (35*t[9])/12 + (53*t[10])/6 - 
       (41*t[11])/8 - (5*t[12])/6 + (695*t[13])/144 - (421*t[14])/144 + 
       (359*t[15])/144 - t[16]/12 + (3*t[25])/2 - t[26] + (23*t[28])/6 + 
       (2*t[29])/3 - t[30]/6 + 2*t[31] - 2*t[35] + (7*t[36])/3 - t[38]/2 + 
       2*t[39] - 2*t[40] - (7*t[44])/6 + 2*t[45] + t[46]/4 - 4*t[47] + 
       (15*t[48])/8 - (31*t[49])/12 - (49*t[50])/24 + (49*t[51])/48 + 
       (49*t[52])/24 + (31*t[53])/12 + (13*t[54])/8 + t[59]/4 - 
       (83*t[60])/24 + (23*t[61])/24 + (83*t[62])/3 - (47*t[63])/6 - 
       (1429*t[64])/48 + (263*t[65])/24 + (11*t[66])/36 - (2*t[69])/3 + 
       t[73] + t[74] + (5*t[75])/3 + 2*t[77] + 2*t[78] + (73*t[79])/12 - 
       (7*t[80])/2 + (17*t[81])/12 - (11*t[82])/12 - (38*t[83])/3 + 
       (19*t[84])/8 - t[85]/2 - (443*t[86])/12 - (25*t[87])/12 - 
       (25*t[88])/24 + (401*t[89])/48 + 2*t[99] - (23*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((73*t[2])/24 - (31*t[3])/8 + (77*t[4])/8 + (257*t[5])/48 + 
       (41*t[6])/4 - (209*t[7])/12 + (83*t[8])/6 - (383*t[9])/48 + 
       (305*t[10])/48 - (101*t[11])/24 - (23*t[12])/24 + (317*t[13])/48 - 
       (35*t[14])/32 + (545*t[15])/96 - (7*t[20])/6 + t[28]/6 - t[29]/2 + 
       (2*t[30])/3 - t[31]/2 - 2*t[32] + (4*t[33])/3 - (10*t[35])/3 - 
       (5*t[36])/2 - t[37]/2 - t[41]/4 + t[42]/4 - (5*t[43])/4 - 
       (5*t[44])/6 - t[47]/2 + (137*t[48])/24 + (25*t[49])/16 - 
       (133*t[50])/24 - (59*t[51])/96 + (133*t[52])/24 - (25*t[53])/16 + 
       (19*t[54])/4 + t[59]/4 - (83*t[60])/24 + (23*t[61])/24 + 
       (83*t[62])/3 - (47*t[63])/6 - (1429*t[64])/48 + (263*t[65])/24 + 
       (11*t[66])/36 - (2*t[69])/3 + t[73] + t[74] + (5*t[75])/3 + 2*t[77] + 
       2*t[78] + (73*t[79])/12 - (7*t[80])/2 + (17*t[81])/12 - 
       (11*t[82])/12 - (38*t[83])/3 + (19*t[84])/8 - t[85]/2 - 
       (443*t[86])/12 - (25*t[87])/12 - (25*t[88])/24 + (401*t[89])/48 + 
       2*t[99] - (23*t[100])/6) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - v]*(t[1]/6 - (23*t[2])/96 + (209*t[3])/576 + 
       (427*t[4])/288 + (637*t[5])/576 - (109*t[6])/256 + (649*t[7])/192 + 
       (2243*t[8])/576 - (205*t[9])/128 - (2165*t[10])/576 + 
       (13765*t[11])/2304 + (145*t[12])/192 + (1099*t[13])/1728 - 
       (3163*t[14])/2304 + (4913*t[15])/6912 - t[25]/36 + t[26]/36 - 
       t[27]/12 - (5*t[28])/8 + (11*t[29])/48 + (9*t[30])/16 - (5*t[31])/6 + 
       t[32]/6 - t[33]/6 - t[34]/6 + t[35]/4 - (3*t[36])/8 + t[37]/6 + 
       t[38]/12 - (61*t[39])/96 + (27*t[40])/32 + t[41]/12 - t[42]/12 + 
       t[43]/12 - t[44]/3 - t[45]/2 - (11*t[46])/72 + (7*t[47])/6 + 
       (299*t[48])/768 + (575*t[49])/576 + (1417*t[50])/2304 - 
       (403*t[51])/1152 - (1801*t[52])/2304 - (383*t[53])/576 - 
       (871*t[54])/768 + t[59]/8 + (629*t[60])/1152 + (1175*t[61])/384 - 
       (15935*t[62])/2304 - (3169*t[63])/2304 + (26825*t[64])/2304 - 
       (97*t[65])/1152 + (3581*t[66])/1152 - t[69]/6 + t[70]/12 - t[71]/12 + 
       t[72]/6 + (43*t[73])/24 - (5*t[74])/8 - (3*t[75])/8 + (7*t[76])/6 - 
       (11*t[77])/24 - (17*t[78])/6 - (5*t[79])/8 + (7*t[80])/12 - 
       (19*t[81])/24 + (37*t[82])/48 - (169*t[83])/72 - (341*t[84])/384 - 
       (1699*t[85])/1152 + (613*t[86])/72 + (245*t[87])/1152 + 
       (821*t[88])/2304 - (1889*t[89])/2304 + t[96]/2 + t[97]/3 + 
       (19*t[98])/4 - (21*t[99])/4 - (91*t[100])/24) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w]*
      ((-15*t[1])/4 - t[3]/3 - (265*t[4])/48 + (37*t[5])/96 + (11*t[6])/12 + 
       (55*t[7])/48 + (71*t[8])/48 - (5*t[9])/96 - (1171*t[10])/96 + 
       (99*t[11])/16 + (649*t[12])/48 + (1015*t[13])/432 - (4037*t[14])/576 + 
       (107*t[15])/64 + t[25]/6 + (43*t[26])/12 + t[27]/2 - t[28]/6 + 
       t[35]/6 + (7*t[36])/12 - t[37]/4 - (15*t[38])/4 - t[39]/6 + t[40]/6 + 
       t[45]/6 + (139*t[46])/24 - t[47]/3 + (2*t[48])/3 - (995*t[49])/96 + 
       t[50]/6 - (601*t[51])/192 - t[52]/6 + (935*t[53])/96 - 
       (149*t[54])/48 + (77*t[59])/72 + (67*t[60])/16 - (47*t[61])/16 + 
       (503*t[62])/96 - (753*t[63])/32 + (763*t[64])/96 + (1403*t[65])/144 + 
       (2461*t[66])/144 - (3*t[69])/2 + t[70] - t[71] + (11*t[73])/12 - 
       t[74]/3 - (13*t[75])/12 - (17*t[76])/12 - t[77]/6 + t[79]/4 - 
       t[80]/3 - t[81]/3 + t[82]/3 - (7*t[83])/2 + (157*t[84])/48 + 
       (101*t[85])/48 + (35*t[86])/12 + (469*t[87])/48 + (473*t[88])/96 + 
       (471*t[89])/32 - 2*t[98] + 2*t[99] - (15*t[100])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((107*t[1])/16 + (7*t[2])/48 - (47*t[3])/16 + (901*t[4])/384 - 
       (47*t[5])/48 + (479*t[6])/96 - (29*t[7])/48 + (11*t[8])/8 + 
       (33*t[9])/16 + (15911*t[10])/768 + (67*t[11])/96 - (12413*t[12])/768 - 
       (2921*t[13])/1152 + (103489*t[14])/4608 - (18365*t[15])/2304 - 
       t[25]/4 - (145*t[26])/24 - t[27]/12 + (13*t[28])/6 - (5*t[29])/12 + 
       t[30]/24 + (23*t[31])/12 - (5*t[34])/24 - (13*t[35])/6 - 
       (33*t[36])/8 + t[37]/2 + (155*t[38])/24 + (17*t[39])/8 - (9*t[40])/4 + 
       (5*t[41])/48 - (5*t[42])/48 + t[43]/24 + t[44]/6 + (7*t[45])/3 + 
       (5*t[46])/2 - (14*t[47])/3 + (89*t[48])/48 - (6187*t[49])/768 - 
       (19*t[50])/16 - (6401*t[51])/1536 + (83*t[52])/48 + (1465*t[53])/256 - 
       (1171*t[54])/128 + t[58]/8 - (137*t[59])/48 + (4949*t[60])/384 + 
       (14329*t[61])/384 - (10735*t[62])/768 - (721*t[63])/768 - 
       (29743*t[64])/768 - (2773*t[65])/384 - (46333*t[66])/1152 - 
       (3*t[69])/2 - t[70]/4 + t[71]/4 - (7*t[72])/6 + (59*t[73])/24 + 
       (11*t[74])/4 + (59*t[75])/8 - (25*t[76])/8 + (25*t[77])/12 + 
       (9*t[78])/4 - (29*t[79])/12 - (19*t[80])/4 + (4*t[81])/3 - 
       (33*t[82])/16 - (241*t[83])/12 + (1111*t[84])/128 + (2273*t[85])/384 - 
       (239*t[86])/12 + (5581*t[87])/384 + (5261*t[88])/768 - 
       (2873*t[89])/768 + t[96]/4 + t[97]/24 - 8*t[98] + 8*t[99] - 
       (15*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((19*t[1])/24 + (35*t[2])/48 - (11*t[3])/4 - 
       (3619*t[4])/192 - (107*t[5])/48 + (305*t[6])/96 - (11*t[7])/4 + 
       (91*t[8])/8 - (13*t[9])/16 + (797*t[10])/128 - (1109*t[11])/96 + 
       (1009*t[12])/128 - (16591*t[13])/1728 + (523*t[14])/768 + 
       (1001*t[15])/384 - t[25] + (5*t[26])/4 + t[27] + (5*t[28])/3 - 
       t[29]/2 - (17*t[30])/12 - (5*t[31])/3 - (5*t[34])/12 - (4*t[35])/3 + 
       t[36]/12 + (5*t[37])/6 + t[38]/6 + (5*t[39])/6 - (5*t[40])/6 + 
       (5*t[41])/24 - (5*t[42])/24 - (5*t[44])/6 + t[45]/2 - t[46]/2 - 
       t[47] + (367*t[48])/96 - (1835*t[49])/384 + (13*t[50])/32 + 
       (1615*t[51])/768 + (161*t[52])/96 + (2123*t[53])/384 + 
       (1421*t[54])/192 + (5*t[58])/12 + t[59]/8 - (6887*t[60])/192 - 
       (143*t[61])/192 + (119*t[62])/128 - (151*t[63])/128 + 
       (1575*t[64])/128 + (11353*t[65])/576 + (467*t[66])/64 - t[69] + 
       t[72] + (19*t[73])/12 - (17*t[75])/12 - (25*t[76])/12 + (5*t[77])/12 - 
       t[78]/2 - (3*t[79])/2 - (4*t[80])/3 - (7*t[81])/3 + t[82]/24 - 
       t[83]/3 - (763*t[84])/192 - (1519*t[85])/192 + 3*t[86] + 
       (4313*t[87])/192 + (3929*t[88])/384 - (183*t[89])/128 + t[95] - 
       (5*t[97])/12 - (35*t[98])/2 + (39*t[99])/2 - (15*t[100])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((5*t[1])/16 - (49*t[2])/48 + (23*t[3])/12 - (257*t[4])/128 + 
       (23*t[5])/32 - (189*t[6])/64 + (113*t[7])/48 - (17*t[8])/48 - 
       (181*t[9])/96 - (667*t[10])/256 - (23*t[11])/64 - (135*t[12])/256 - 
       (2141*t[13])/1152 - (557*t[14])/1536 - (8659*t[15])/6912 - t[24]/4 - 
       (3*t[26])/8 - t[27]/4 - (29*t[28])/12 + (5*t[29])/24 + t[30]/24 + 
       t[31]/3 + t[32]/2 - t[33]/2 - t[34]/8 + (8*t[35])/3 + (9*t[36])/8 - 
       t[37]/4 + (3*t[38])/8 - (3*t[39])/8 + (3*t[40])/4 + t[41]/16 - 
       t[42]/16 + (3*t[43])/8 + (4*t[44])/3 - t[45]/2 - (11*t[46])/16 + 
       t[47] - (233*t[48])/192 + (447*t[49])/256 - (75*t[50])/64 - 
       (187*t[51])/512 + (19*t[52])/64 - (319*t[53])/256 - (109*t[54])/128 - 
       t[58]/8 - t[59]/16 - (69*t[60])/128 + (367*t[61])/128 - 
       (7027*t[62])/768 + (1521*t[63])/256 + (7325*t[64])/768 - 
       (2779*t[65])/1152 + (2719*t[66])/1152 - (2*t[72])/3 + (17*t[73])/24 - 
       (5*t[74])/4 - (27*t[75])/8 + (19*t[76])/8 - t[77]/2 - (15*t[78])/4 - 
       (7*t[79])/12 + (11*t[80])/4 - (5*t[81])/8 + (5*t[82])/16 + 
       (95*t[83])/24 - (1127*t[84])/384 + (109*t[85])/384 + (41*t[86])/4 + 
       (577*t[87])/384 + (577*t[88])/768 - (359*t[89])/256 + (3*t[96])/4 + 
       (5*t[97])/8 + (27*t[98])/2 - (27*t[99])/2 - (7*t[100])/2) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - w]*((-37*t[1])/12 - (49*t[3])/72 - 
       (3179*t[4])/144 - (449*t[5])/288 + (521*t[6])/192 + (13*t[7])/32 + 
       (701*t[8])/288 + (215*t[9])/96 - (1523*t[10])/72 + (3779*t[11])/576 + 
       (2087*t[12])/96 + (1861*t[13])/864 - (2495*t[14])/288 + 
       (559*t[15])/192 + t[25]/9 + (131*t[26])/36 + t[27] + t[28]/3 - 
       t[35]/3 - t[36]/6 + (5*t[37])/24 - (15*t[38])/4 + t[39]/3 - t[40]/3 - 
       t[45]/3 + (461*t[46])/72 + (2*t[47])/3 + (35*t[48])/64 - 
       (5173*t[49])/288 - (661*t[50])/576 + (1085*t[51])/576 + 
       (661*t[52])/576 + (5125*t[53])/288 + (1171*t[54])/192 - t[59]/36 - 
       (5609*t[60])/288 + (101*t[61])/96 + (2543*t[62])/576 - 
       (12083*t[63])/576 + (20809*t[64])/576 + (255*t[65])/16 + 11*t[66] - 
       t[69]/2 + t[70]/3 - t[71]/3 - (5*t[73])/24 + (31*t[74])/24 + 
       (5*t[75])/24 - (13*t[76])/6 + t[77]/12 + (29*t[79])/24 + (7*t[80])/6 - 
       (119*t[81])/48 - (29*t[82])/48 - (35*t[83])/18 - (31*t[84])/16 - 
       (365*t[85])/288 + (125*t[86])/72 + (3841*t[87])/288 + 
       (3865*t[88])/576 + (3887*t[89])/576 + 4*t[98] - 5*t[99] - 
       (10*t[100])/3) + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (t[1]/4 + (3*t[2])/16 + (5*t[3])/18 + (385*t[4])/144 - (11*t[5])/72 + 
       (65*t[6])/192 + (55*t[7])/96 + (317*t[8])/288 - (65*t[9])/48 - 
       (397*t[10])/144 + (1115*t[11])/576 - t[12]/2 + (791*t[13])/864 + 
       (505*t[14])/288 - (187*t[15])/288 - (2*t[25])/9 + (2*t[26])/9 - 
       t[28]/2 - (2*t[31])/3 + t[35]/2 + t[36]/4 - t[37]/4 - t[39]/2 + 
       t[40]/2 - t[43]/12 - t[45]/2 - (17*t[46])/36 + t[47] - 
       (23*t[48])/192 + (377*t[49])/288 + (251*t[50])/576 - (181*t[51])/576 - 
       (251*t[52])/576 - (377*t[53])/288 - (173*t[54])/192 + (7*t[59])/12 + 
       (487*t[60])/288 + (79*t[61])/32 - (2923*t[62])/576 + (199*t[63])/576 + 
       (4789*t[64])/576 - (227*t[65])/36 - (17*t[66])/3 + t[69]/2 - 
       (7*t[70])/24 + (7*t[71])/24 + t[72]/2 - t[73]/8 - (11*t[74])/8 + 
       (31*t[75])/24 - (3*t[77])/8 - t[78]/2 - (67*t[79])/24 + (3*t[80])/2 - 
       (9*t[81])/16 + t[82]/48 - (11*t[83])/18 - (13*t[84])/24 + 
       (109*t[85])/288 + (83*t[86])/18 + (139*t[87])/288 + (139*t[88])/576 + 
       (35*t[89])/576 + t[99]/2 - (37*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      ((5*t[3])/3 - 2*t[4] + (5*t[5])/12 - (27*t[6])/8 + (37*t[7])/12 + 
       (15*t[8])/4 - (25*t[9])/12 - (41*t[10])/6 + (119*t[11])/24 - 
       (19*t[12])/4 + t[13]/36 + (11*t[14])/18 - (187*t[15])/72 + 
       (2*t[25])/3 - (2*t[26])/3 - 2*t[28] - 2*t[31] + 2*t[35] + 2*t[36] - 
       t[37] - 2*t[39] + 2*t[40] - 2*t[45] - (4*t[46])/3 + 4*t[47] - 
       (3*t[48])/8 + (9*t[49])/4 + (23*t[50])/24 - (13*t[51])/24 - 
       (23*t[52])/24 - (9*t[53])/4 - (23*t[54])/24 - (23*t[59])/18 - 
       (43*t[60])/12 + (29*t[61])/12 - (395*t[62])/24 + (13*t[63])/8 + 
       (153*t[64])/8 + 4*t[65] - (7*t[66])/18 - 4*t[69] + t[70] - t[71] - 
       t[73] - t[74] - 3*t[75] - 2*t[77] - 2*t[78] + t[79] + 4*t[80] - 
       (3*t[81])/2 + (3*t[82])/2 + (9*t[83])/2 - (5*t[84])/3 - (7*t[85])/12 + 
       23*t[86] + (91*t[87])/12 + (57*t[88])/8 - (131*t[89])/24 - 3*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*
      ((4*t[3])/3 - (13*t[4])/3 - (5*t[5])/2 - (55*t[6])/12 + (55*t[7])/6 - 
       (19*t[8])/6 + (16*t[9])/3 - 2*t[10] + (9*t[11])/4 + (13*t[12])/6 - 
       (97*t[13])/36 + (11*t[14])/18 + (11*t[15])/36 - t[20]/3 - t[24] - 
       3*t[28] - (2*t[29])/3 + t[30] + t[31] + t[32] - (4*t[33])/3 + 
       3*t[35] + t[36] + t[43]/2 + 2*t[44] - (55*t[48])/12 - (5*t[49])/6 + 
       (37*t[50])/12 + (5*t[51])/12 - (37*t[52])/12 + (5*t[53])/6 - 
       (29*t[54])/12 - (13*t[60])/6 + (17*t[61])/6 - (49*t[62])/4 + 
       (91*t[63])/12 + (101*t[64])/12 - (26*t[65])/9 + t[66] - t[74] - 
       7*t[75] - t[77] - t[78] + 2*t[80] - t[81] + t[82] + 9*t[83] - 
       (4*t[84])/3 - t[85]/6 + 16*t[86] + (25*t[87])/6 + (25*t[88])/12 - 
       (53*t[89])/12 - 3*t[100]) + B6[v, w, u]*HPL[{1}, 1 - w]*
      (-t[3] + (5*t[4])/4 - (5*t[5])/4 - (5*t[6])/4 + (7*t[7])/2 - 5*t[8] + 
       (11*t[9])/4 - (5*t[10])/8 + 4*t[11] - (3*t[12])/8 + t[13] + 
       (113*t[14])/48 + (7*t[15])/12 - (5*t[48])/4 + t[49]/8 + (7*t[50])/4 - 
       t[51]/16 - (7*t[52])/4 - t[53]/8 - 2*t[54] + (19*t[60])/4 + 
       (19*t[61])/4 - (21*t[62])/8 + (9*t[63])/8 - (39*t[64])/8 - 
       (10*t[65])/3 - (35*t[66])/6 - t[73] + t[75] + t[81]/2 - t[82]/2 + 
       t[83] + t[84] - t[85]/4 - (11*t[87])/4 - (11*t[88])/8 - (13*t[89])/8 - 
       3*t[100]) + B6[w, v, u]*HPL[{1}, 1 - v]*(-t[3]/2 + (3*t[4])/2 - t[5] + 
       (19*t[6])/8 - t[7]/2 + (5*t[8])/2 + (3*t[9])/2 + (5*t[10])/4 + 
       (7*t[11])/8 - t[12]/2 + (37*t[14])/8 - (2*t[15])/3 - t[27] - t[46]/2 + 
       (3*t[48])/8 + (3*t[49])/4 - (5*t[50])/8 + (5*t[52])/8 - (3*t[53])/4 + 
       (9*t[54])/8 + (19*t[60])/4 + (19*t[61])/4 - (21*t[62])/8 + 
       (9*t[63])/8 - (39*t[64])/8 - (10*t[65])/3 - (35*t[66])/6 - t[73] + 
       t[75] + t[81]/2 - t[82]/2 + t[83] + t[84] - t[85]/4 - (11*t[87])/4 - 
       (11*t[88])/8 - (13*t[89])/8 - 3*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*(-2*t[3] + (5*t[5])/8 - 
       (5*t[6])/2 + (7*t[7])/4 - (17*t[8])/4 - (33*t[9])/8 + (5*t[10])/4 + 
       (5*t[11])/4 - (5*t[12])/8 - (2*t[13])/3 + (31*t[14])/24 + 
       (101*t[15])/48 - 5*t[28] - 4*t[29] + 4*t[30] + 7*t[44] - (9*t[48])/2 + 
       (5*t[50])/2 - (5*t[52])/2 - (5*t[54])/2 - 5*t[60] + (13*t[61])/2 - 
       t[62]/4 + (81*t[63])/4 - (13*t[64])/4 - (35*t[65])/6 + (13*t[66])/2 - 
       3*t[73] - 15*t[75] + 3*t[79] + 17*t[83] - 2*t[84] - 2*t[85] - 
       5*t[86] + 9*t[87] + (9*t[88])/2 - (5*t[89])/4 - 3*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-5*t[4] + (5*t[5])/8 - (5*t[7])/4 - (5*t[8])/4 - (5*t[9])/8 + 
       (7*t[10])/4 - (21*t[11])/4 - (33*t[12])/8 - (13*t[13])/3 + 
       (107*t[14])/24 - (35*t[15])/48 + 3*t[36] - t[49]/2 - (3*t[51])/2 + 
       t[53]/2 + 2*t[54] - 5*t[60] + (13*t[61])/2 - t[62]/4 + (81*t[63])/4 - 
       (13*t[64])/4 - (35*t[65])/6 + (13*t[66])/2 - 3*t[73] - 15*t[75] + 
       3*t[79] + 17*t[83] - 2*t[84] - 2*t[85] - 5*t[86] + 9*t[87] + 
       (9*t[88])/2 - (5*t[89])/4 - 3*t[100]) + B5[u, w, v]*HPL[{1}, 1 - v]*
      (-t[4] - t[5]/2 + t[9]/2 - t[10]/2 + t[11] + t[12] - t[13]/3 + 
       t[14]/12 + t[15]/12 - t[49]/2 + t[51]/4 + t[53]/2 + 2*t[61] + t[63] - 
       (2*t[65])/3 - t[83] - t[89] - 3*t[100]) + B5[u, v, w]*HPL[{1}, 1 - w]*
      (-t[3]/2 + t[6] + 2*t[8] - 2*t[9] - t[10] + t[11]/2 - t[13]/12 - 
       t[14]/6 + (7*t[15])/12 + t[20] + t[48]/2 - t[50]/2 + t[52]/2 + 
       t[54]/2 + 2*t[61] + t[63] - (2*t[65])/3 - t[83] - t[89] - 3*t[100]) + 
     B5[u, v, w]*HPL[{1}, 1 - v]*(-t[3]/2 - t[5]/4 + (3*t[6])/4 - t[7]/2 + 
       t[8]/2 + (3*t[9])/4 - (3*t[10])/2 + (5*t[11])/4 + t[12]/4 + t[13]/12 + 
       (5*t[14])/3 + (7*t[15])/24 + (3*t[48])/4 - t[50]/4 + t[52]/4 + 
       t[54]/4 + t[60]/2 + (11*t[61])/2 + (7*t[62])/4 + (9*t[63])/4 - 
       (9*t[64])/4 + (5*t[65])/6 - (11*t[66])/6 + t[72] - t[83] + t[84]/2 - 
       t[85]/2 - 4*t[86] - t[87]/2 - t[88]/4 - (3*t[89])/4 - 3*t[100]) + 
     B5[u, w, v]*HPL[{1}, 1 - w]*(-t[3]/2 + t[4]/2 - (3*t[5])/4 + t[6] - 
       t[7]/2 + (3*t[8])/2 - (5*t[9])/4 - t[10]/4 + (3*t[11])/2 + t[13] + 
       (29*t[14])/24 + (17*t[15])/24 - t[49]/4 + t[51]/8 + t[53]/4 + 
       t[54]/2 + t[60]/2 + (11*t[61])/2 + (7*t[62])/4 + (9*t[63])/4 - 
       (9*t[64])/4 + (5*t[65])/6 - (11*t[66])/6 + t[72] - t[83] + t[84]/2 - 
       t[85]/2 - 4*t[86] - t[87]/2 - t[88]/4 - (3*t[89])/4 - 3*t[100]) + 
     B6[u, w, v]*HPL[{1}, 1 - v]*(-t[4] - t[5]/8 + t[9]/8 - t[10] + t[11]/4 + 
       (5*t[12])/8 + t[13]/6 - t[14]/6 + (7*t[15])/48 + t[36] + t[46]/2 - 
       t[49]/2 - t[51]/8 + t[53]/2 + t[61]/2 + (3*t[62])/4 + t[63]/4 - 
       (3*t[64])/4 - t[65]/6 + t[66]/2 - t[73] - t[74] + t[75] - t[89]/4 - 
       3*t[100]) + B6[u, v, w]*HPL[{1}, 1 - w]*((-3*t[2])/4 + t[3]/2 + 
       (3*t[5])/8 + t[6] + (5*t[8])/2 - (21*t[9])/8 - t[10] - t[11]/4 + 
       (3*t[12])/8 + t[13]/6 - (7*t[14])/24 + (17*t[15])/48 + t[20] - t[28] + 
       t[32] - t[33] + 2*t[35] + t[48]/2 - t[50]/2 + t[52]/2 + t[54]/2 + 
       t[61]/2 + (3*t[62])/4 + t[63]/4 - (3*t[64])/4 - t[65]/6 + t[66]/2 - 
       t[73] - t[74] + t[75] - t[89]/4 - 3*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-8*t[1])/3 - t[3]/2 + 2*t[4] - t[5] + (3*t[6])/8 + t[7]/4 + 
       (5*t[8])/4 + (3*t[9])/2 + (5*t[10])/2 + (15*t[11])/8 - (17*t[12])/6 + 
       (61*t[13])/18 + (16*t[14])/3 - t[15] + t[25] - t[26] - t[37] + 
       (3*t[48])/8 + (11*t[49])/4 - (5*t[50])/8 - (11*t[51])/8 + 
       (5*t[52])/8 - (11*t[53])/4 + (5*t[54])/8 - t[59] + (7*t[60])/12 + 
       (37*t[61])/4 - (39*t[62])/8 + (73*t[63])/24 + (23*t[64])/8 - 
       (85*t[65])/18 - (44*t[66])/3 - 4*t[69] + (7*t[70])/3 - (7*t[71])/3 - 
       t[73] + t[74] - t[75] + (5*t[79])/3 + t[81]/2 - t[82]/2 + 
       (5*t[83])/6 + t[84]/2 + t[85]/4 - (5*t[86])/3 - (7*t[87])/12 - 
       (7*t[88])/24 + t[89]/8 - 3*t[100]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1, 1}, 1 - u]*((7*t[3])/2 + t[4]/2 + (19*t[5])/4 + 
       (13*t[6])/4 - (15*t[7])/2 + (13*t[8])/2 - (41*t[9])/4 - (13*t[10])/4 - 
       t[11]/4 - 2*t[12] + (11*t[13])/12 - (15*t[14])/8 + (25*t[15])/24 + 
       2*t[20] + 3*t[24] + 4*t[28] + t[30] - 3*t[31] + 2*t[33] - 6*t[35] - 
       2*t[44] + (17*t[48])/4 - t[49]/4 - (7*t[50])/4 + t[51]/8 + 
       (7*t[52])/4 + t[53]/4 + (9*t[54])/4 + 2*t[60] + 3*t[61] + 
       (13*t[62])/2 - (13*t[63])/2 + t[64] + 3*t[65] + 3*t[66] - 7*t[83] - 
       4*t[85] - 8*t[86] - t[87] - t[88]/2 + t[89]/2 - 3*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      ((15*t[3])/4 + (37*t[4])/12 + (4*t[5])/3 + (13*t[7])/2 + t[8]/2 + 
       (5*t[9])/12 - (87*t[10])/8 + (35*t[11])/4 + (11*t[12])/8 + 
       (43*t[13])/12 - (521*t[14])/144 - (17*t[15])/24 + (2*t[28])/3 + 
       (7*t[29])/3 + (2*t[30])/3 - (7*t[31])/3 + t[32] - t[33] - 2*t[35] + 
       t[36] - t[39] + t[40] + (5*t[43])/6 - t[44]/3 - t[45] - (3*t[46])/2 + 
       2*t[47] + (5*t[48])/4 + (25*t[49])/24 + (7*t[50])/12 + (7*t[51])/16 - 
       (7*t[52])/12 - (25*t[53])/24 - (13*t[54])/6 + (25*t[60])/3 + 
       (35*t[62])/12 - (13*t[63])/4 - 2*t[64] - (17*t[65])/3 - (13*t[66])/9 + 
       2*t[69] - 2*t[72] + 2*t[73] - 2*t[74] + 8*t[75] - 2*t[77] - 2*t[78] - 
       4*t[79] + 4*t[80] - 3*t[81] + (5*t[82])/3 - 18*t[83] - (7*t[84])/6 - 
       t[85]/3 + (8*t[86])/3 - (14*t[87])/3 - (7*t[88])/3 + 4*t[99] - 
       3*t[100]) + B6[u, w, v]*HPL[{1}, 1 - w]*((3*t[2])/4 - t[3]/2 + 
       (5*t[4])/4 - (13*t[5])/8 + t[6] + t[7] + 3*t[8] - (13*t[9])/8 - 
       (17*t[10])/8 + 4*t[11] - t[12]/4 + (3*t[13])/2 + (25*t[14])/16 + 
       (19*t[15])/48 + t[36] + t[49]/8 - t[51]/16 - t[53]/8 - t[54]/4 + 
       (9*t[60])/4 + (31*t[61])/4 - (21*t[62])/8 + (9*t[63])/8 + 
       (13*t[64])/8 - (7*t[65])/3 - (41*t[66])/6 + t[72] - t[73] + t[75] - 
       t[76] - t[77] + t[78] - 2*t[79] + t[81]/2 - t[82]/2 + t[84]/2 + 
       t[85]/4 + 2*t[86] - (5*t[87])/4 - (5*t[88])/8 - (17*t[89])/8 - 
       6*t[98] + 6*t[99] - 3*t[100]) + B6[u, v, w]*HPL[{1}, 1 - v]*
      (-t[3]/2 - (15*t[5])/8 + (3*t[6])/8 + t[7] + 2*t[8] + (19*t[9])/8 - 
       3*t[10] + (21*t[11])/8 + (9*t[12])/8 + t[13]/3 + (17*t[14])/6 - 
       (11*t[15])/48 - t[28] + 2*t[35] - t[39] + t[40] + (3*t[48])/8 - 
       (5*t[50])/8 + (5*t[52])/8 + (5*t[54])/8 + (9*t[60])/4 + (31*t[61])/4 - 
       (21*t[62])/8 + (9*t[63])/8 + (13*t[64])/8 - (7*t[65])/3 - 
       (41*t[66])/6 + t[72] - t[73] + t[75] - t[76] - t[77] + t[78] - 
       2*t[79] + t[81]/2 - t[82]/2 + t[84]/2 + t[85]/4 + 2*t[86] - 
       (5*t[87])/4 - (5*t[88])/8 - (17*t[89])/8 - 6*t[98] + 6*t[99] - 
       3*t[100]) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-33*t[1])/4 + 10*t[2] - (695*t[3])/16 - 6*t[4] + (19*t[5])/32 + 
       (1355*t[6])/32 + (171*t[7])/16 + (1705*t[8])/16 + (807*t[9])/32 + 
       (197*t[10])/4 - (1979*t[11])/32 + (867*t[12])/32 - (6581*t[13])/288 + 
       (803*t[14])/12 + (7325*t[15])/576 - 2*t[16] - 4*t[18] + t[19] - 
       6*t[20] - t[21] + 5*t[22] + 18*t[25] - 8*t[26] + (15*t[27])/2 + 
       3*t[28] + (7*t[29])/4 - (77*t[30])/4 - (15*t[31])/2 + (35*t[32])/2 + 
       4*t[33] + (13*t[34])/2 - (15*t[35])/2 - 6*t[36] + (21*t[37])/2 - 
       5*t[38] + (61*t[39])/8 + (7*t[40])/4 + (3*t[41])/4 - t[42]/4 - 
       (45*t[43])/8 - (37*t[44])/2 + (53*t[45])/8 + (3*t[46])/2 - 
       (87*t[47])/4 + (1167*t[48])/32 - (25*t[49])/16 - (649*t[50])/32 - 
       (63*t[51])/16 + (793*t[52])/32 - (219*t[53])/16 + (1625*t[54])/32 - 
       t[58]/2 + 3*t[59] + (1131*t[60])/16 + (729*t[61])/16 + (5*t[62])/32 - 
       (1949*t[63])/32 - (3087*t[64])/32 + (2593*t[65])/48 + (41*t[66])/48 - 
       (7*t[68])/2 + 6*t[69] + 14*t[70] - 14*t[71] + (33*t[72])/2 + 8*t[74] + 
       6*t[75] - (99*t[76])/8 - 4*t[77] + (77*t[78])/8 - 4*t[79] - 
       (43*t[80])/2 - (41*t[81])/4 + 7*t[82] - (15*t[83])/2 + 
       (549*t[84])/16 + (29*t[85])/16 - (163*t[86])/4 - (505*t[87])/16 + 
       (991*t[88])/32 + (339*t[89])/32 - t[91]/12 + t[93] - 16*t[95] - 
       15*t[96] + 6*t[97] - 96*t[98] + 82*t[99] - 3*t[100]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*((-3*t[1])/4 - (65*t[2])/4 - 
       (373*t[3])/8 + (657*t[4])/16 + (209*t[5])/32 + (229*t[6])/16 - 
       (243*t[7])/4 + (81*t[8])/2 + (65*t[9])/32 + (825*t[10])/32 + 
       (71*t[11])/2 - (33*t[12])/8 + (1073*t[13])/24 - (2171*t[14])/192 + 
       (5503*t[15])/576 + (3*t[17])/4 + (31*t[19])/4 + 2*t[20] - 
       (15*t[21])/2 + 3*t[22] + (15*t[23])/2 - t[24]/2 + 2*t[25] - 
       (7*t[26])/2 + 5*t[27] + 9*t[28] + t[29]/4 - (25*t[30])/2 - 2*t[31] + 
       (33*t[32])/2 + (11*t[33])/2 + (3*t[34])/2 + (13*t[35])/2 - 6*t[36] - 
       (49*t[37])/4 - t[38]/2 - (9*t[39])/2 - (15*t[40])/4 - (15*t[41])/4 + 
       (15*t[42])/4 - (77*t[43])/16 - (121*t[44])/8 + (99*t[45])/4 + 
       (13*t[46])/2 - 29*t[47] - (93*t[48])/16 - (713*t[49])/32 + 
       (279*t[50])/16 - (139*t[51])/64 - (279*t[52])/16 + (153*t[53])/32 - 
       (99*t[54])/8 + (3*t[55])/8 + 3*t[57] - t[58]/2 + 3*t[59] + 
       (1131*t[60])/16 + (729*t[61])/16 + (5*t[62])/32 - (1949*t[63])/32 - 
       (3087*t[64])/32 + (2593*t[65])/48 + (41*t[66])/48 - (7*t[68])/2 + 
       6*t[69] + 14*t[70] - 14*t[71] + (33*t[72])/2 + 8*t[74] + 6*t[75] - 
       (99*t[76])/8 - 4*t[77] + (77*t[78])/8 - 4*t[79] - (43*t[80])/2 - 
       (41*t[81])/4 + 7*t[82] - (15*t[83])/2 + (549*t[84])/16 + 
       (29*t[85])/16 - (163*t[86])/4 - (505*t[87])/16 + (991*t[88])/32 + 
       (339*t[89])/32 - t[91]/12 + t[93] - 16*t[95] - 15*t[96] + 6*t[97] - 
       96*t[98] + 82*t[99] - 3*t[100]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w]^2*((5*t[1])/8 + (37*t[2])/48 - (13*t[3])/12 - 
       (22*t[4])/3 - (227*t[5])/96 + (299*t[6])/96 + (43*t[7])/16 + 
       (185*t[8])/48 + (127*t[9])/96 - (77*t[10])/48 + (227*t[11])/96 - 
       (49*t[12])/32 - (847*t[13])/432 + (443*t[14])/144 - (33*t[15])/64 - 
       t[16]/24 - t[25]/4 + t[26]/2 - t[27]/3 - t[28]/6 + t[29]/3 - t[30]/3 - 
       2*t[31] - t[34]/12 - t[35]/6 + (5*t[36])/12 - t[37]/6 - (7*t[39])/12 + 
       t[40]/3 + t[41]/24 - t[42]/24 - t[43]/12 - t[44]/3 - t[45]/3 - 
       (5*t[46])/6 + (2*t[47])/3 + (41*t[48])/32 - (5*t[49])/12 + 
       (227*t[50])/96 + (5*t[51])/32 - (91*t[52])/96 + t[53]/4 - 
       (65*t[54])/96 + t[58]/4 - (3*t[59])/4 - (725*t[60])/48 - 
       (19*t[61])/24 - (361*t[62])/32 + (323*t[63])/96 + (2803*t[64])/96 + 
       (25*t[65])/3 + (23*t[66])/8 + t[67]/24 - (5*t[69])/4 + t[70]/3 - 
       t[71]/3 + t[72]/3 - t[74]/2 - (3*t[75])/2 - (23*t[76])/12 - 
       (3*t[77])/4 - t[78]/2 - t[79]/12 - (2*t[80])/3 - (4*t[81])/3 - 
       (4*t[82])/3 + (23*t[83])/8 - t[84]/2 - (17*t[85])/8 + (169*t[86])/12 + 
       (185*t[87])/16 + (185*t[88])/32 + (137*t[89])/96 - t[96]/2 - 
       (7*t[97])/12 - (29*t[98])/2 + (85*t[99])/6 - (23*t[100])/8) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      (t[1]/8 - (5*t[2])/8 - (79*t[3])/96 + (13*t[4])/16 + (89*t[5])/192 + 
       (47*t[6])/48 - (101*t[7])/96 + (79*t[8])/32 - (63*t[9])/64 - 
       t[10]/24 + (2*t[11])/3 - (95*t[12])/192 + (2371*t[13])/1728 - 
       (103*t[14])/288 + (59*t[15])/128 - t[20]/12 - t[28]/24 + t[30]/12 - 
       t[31]/8 - t[33]/12 + t[35]/12 - t[37]/8 + t[41]/16 - t[42]/16 - 
       t[43]/48 - (11*t[44])/24 + t[47]/8 + (79*t[48])/96 + (3*t[49])/32 - 
       (71*t[50])/96 + t[51]/64 + (71*t[52])/96 - (3*t[53])/32 + 
       (15*t[54])/32 - (11*t[60])/16 + (131*t[61])/48 + (283*t[62])/192 - 
       (871*t[63])/192 + (101*t[64])/32 - (169*t[65])/288 - (583*t[66])/288 + 
       t[72]/2 - (5*t[73])/24 + t[74]/6 + t[75]/24 + t[76]/12 + t[77]/12 + 
       (3*t[79])/16 + (13*t[80])/24 + t[81]/24 + t[82]/12 - (25*t[83])/48 - 
       (7*t[85])/48 - (29*t[86])/16 + (11*t[87])/48 + (11*t[88])/96 + 
       (25*t[89])/48 + t[98]/2 - t[99]/2 - (11*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((-5*t[1])/6 - t[2]/12 + (337*t[3])/72 + (7*t[4])/6 + (161*t[5])/36 - 
       (461*t[6])/144 - (211*t[7])/36 - (1973*t[8])/72 - (23*t[9])/8 + 
       (539*t[10])/72 - (1277*t[11])/144 - (71*t[12])/36 - (383*t[13])/108 - 
       (853*t[14])/216 - (89*t[15])/432 - (2*t[19])/3 - (7*t[20])/6 - 
       (121*t[28])/36 + (25*t[29])/36 - (19*t[30])/36 - t[31]/6 + 
       (5*t[32])/12 - t[33]/12 + t[34]/3 - (19*t[35])/6 - (11*t[36])/4 + 
       (5*t[37])/6 - t[38]/3 - (5*t[39])/12 + t[40]/12 - (3*t[41])/4 + 
       (3*t[42])/4 - (17*t[43])/12 + (167*t[44])/36 + t[45]/2 + 
       (11*t[46])/12 - (11*t[47])/6 - (275*t[48])/48 + (31*t[49])/24 + 
       (803*t[50])/144 - (17*t[51])/16 - (707*t[52])/144 - (21*t[53])/8 - 
       (851*t[54])/144 - (2*t[59])/3 - (233*t[60])/18 - (901*t[61])/72 + 
       (1259*t[62])/288 + (1343*t[63])/96 - (827*t[64])/144 - 
       (6941*t[65])/432 + (167*t[66])/24 - t[68]/2 - (7*t[69])/6 - t[72]/6 - 
       (5*t[73])/3 - t[74]/2 - (73*t[75])/6 - (4*t[76])/3 + t[77]/3 - 
       (3*t[78])/2 + (103*t[79])/12 - (35*t[80])/6 + (17*t[81])/12 - 
       t[82]/4 + (565*t[83])/36 - (53*t[84])/72 + (89*t[85])/36 - 
       (259*t[86])/36 + (89*t[87])/12 + (89*t[88])/24 - (733*t[89])/144 - 
       t[96] - (2*t[97])/3 - (16*t[98])/3 + (8*t[99])/3 - (29*t[100])/12) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^3*((7*t[1])/6 - (157*t[2])/12 + 
       (79*t[3])/24 + (253*t[4])/32 + (331*t[5])/192 - (497*t[6])/96 + 
       (149*t[7])/48 - (223*t[8])/12 - (1097*t[9])/192 + (1135*t[10])/64 + 
       (117*t[11])/16 + (85*t[12])/96 + (1841*t[13])/864 - (341*t[14])/384 + 
       (643*t[15])/1152 + t[17]/12 + (2*t[20])/3 - t[21] - t[22] + t[23] - 
       3*t[24] - (13*t[27])/6 + t[28]/3 + (61*t[29])/24 + t[30]/3 + 
       (7*t[31])/6 - (37*t[32])/12 - (13*t[34])/6 + (3*t[35])/2 - t[36] + 
       t[37]/2 + (13*t[38])/12 - t[39]/12 + (19*t[40])/8 + t[41]/3 - 
       t[42]/3 + (91*t[43])/96 - (11*t[44])/16 + (25*t[45])/24 - 
       (5*t[46])/4 + (17*t[47])/12 - (33*t[48])/32 + (517*t[49])/64 - 
       (85*t[50])/32 - (305*t[51])/128 - (145*t[52])/96 - (1103*t[53])/192 - 
       (26*t[54])/3 - t[55]/12 - t[56]/4 + t[57]/2 + (3*t[59])/8 - 
       (1403*t[60])/96 + (769*t[61])/32 - (755*t[62])/192 - (47*t[63])/64 + 
       (419*t[64])/192 + (1955*t[65])/288 - (1193*t[66])/96 + t[68]/6 - 
       t[69]/2 - t[70] + t[71] - (5*t[72])/2 + (11*t[73])/3 - (41*t[74])/6 - 
       t[75]/6 + (23*t[76])/6 + (13*t[77])/6 - (31*t[78])/4 + (2*t[79])/3 - 
       (37*t[80])/12 + (13*t[81])/4 - (11*t[82])/2 - (43*t[83])/12 - 
       (293*t[84])/32 - (547*t[85])/96 - (93*t[86])/8 + (83*t[87])/96 - 
       (781*t[88])/192 + (2539*t[89])/192 + t[91]/72 + t[93]/6 + t[95] + 
       (9*t[96])/2 + (19*t[97])/12 + 24*t[98] - 23*t[99] - (13*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^3*((35*t[1])/24 - (47*t[2])/24 - 
       (575*t[3])/96 + (253*t[4])/24 - (1927*t[5])/192 + (665*t[6])/64 + 
       (103*t[7])/32 + (701*t[8])/32 + (1249*t[9])/192 + (28*t[10])/3 - 
       (863*t[11])/192 + (245*t[12])/192 + (1117*t[13])/1728 + 
       (2033*t[14])/288 + (5083*t[15])/3456 + t[16]/6 + t[25]/2 - 
       (19*t[26])/12 + t[27]/3 + (4*t[28])/3 + (23*t[29])/12 + (9*t[30])/4 + 
       (13*t[31])/6 + (7*t[32])/6 - (7*t[33])/6 - (17*t[34])/12 - 
       (7*t[35])/3 + (14*t[36])/3 + (3*t[37])/2 + (3*t[38])/4 + t[39]/12 - 
       (13*t[40])/8 + (17*t[41])/24 - (17*t[42])/24 - (23*t[43])/48 - 
       (143*t[44])/24 - (71*t[45])/48 - (11*t[46])/6 + (33*t[47])/8 + 
       (1007*t[48])/192 + (611*t[49])/96 - (541*t[50])/192 - (95*t[51])/96 + 
       (749*t[52])/192 - (179*t[53])/96 + (625*t[54])/192 + t[58]/4 + 
       (3*t[59])/8 - (1403*t[60])/96 + (769*t[61])/32 - (755*t[62])/192 - 
       (47*t[63])/64 + (419*t[64])/192 + (1955*t[65])/288 - (1193*t[66])/96 + 
       t[68]/6 - t[69]/2 - t[70] + t[71] - (5*t[72])/2 + (11*t[73])/3 - 
       (41*t[74])/6 - t[75]/6 + (23*t[76])/6 + (13*t[77])/6 - (31*t[78])/4 + 
       (2*t[79])/3 - (37*t[80])/12 + (13*t[81])/4 - (11*t[82])/2 - 
       (43*t[83])/12 - (293*t[84])/32 - (547*t[85])/96 - (93*t[86])/8 + 
       (83*t[87])/96 - (781*t[88])/192 + (2539*t[89])/192 + t[91]/72 + 
       t[93]/6 + t[95] + (9*t[96])/2 + (19*t[97])/12 + 24*t[98] - 23*t[99] - 
       (13*t[100])/6) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*(t[1]/12 - t[2]/6 + (445*t[3])/192 - 
       (437*t[4])/288 + (287*t[5])/576 - (2119*t[6])/768 + (2771*t[7])/576 - 
       (343*t[8])/576 - (373*t[9])/1152 - (1819*t[10])/576 + 
       (2335*t[11])/768 - (11*t[12])/192 - (697*t[13])/1728 - 
       (13393*t[14])/6912 - (2753*t[15])/2304 - t[25]/12 + t[26]/12 + 
       t[27]/12 - t[28] + (5*t[29])/24 - (3*t[30])/16 - t[31]/6 + 
       (7*t[32])/12 - (7*t[33])/12 - t[34]/12 + t[35] + (9*t[36])/8 - 
       t[37]/2 + t[38]/24 - (11*t[39])/24 + (9*t[40])/16 + t[41]/24 - 
       t[42]/24 + (7*t[43])/24 + (59*t[44])/96 - t[45]/2 - t[46]/12 + 
       (13*t[47])/12 - (271*t[48])/256 + (155*t[49])/576 + (1091*t[50])/768 - 
       (49*t[51])/384 - (385*t[52])/256 - (59*t[53])/576 - 
       (3869*t[54])/2304 - t[59]/3 - (2915*t[60])/1152 + (65*t[61])/1152 - 
       (18887*t[62])/2304 + (2509*t[63])/768 + (24553*t[64])/2304 - 
       (4015*t[65])/3456 + (2033*t[66])/1152 - (7*t[69])/12 + t[70]/4 - 
       t[71]/4 - (5*t[72])/12 - t[73]/8 - t[74] - (77*t[75])/24 + 
       (7*t[76])/12 - (11*t[77])/12 - (23*t[78])/12 - t[79]/4 + (8*t[80])/3 - 
       (7*t[81])/6 + (9*t[82])/16 + (323*t[83])/72 - (2123*t[84])/1152 - 
       (311*t[85])/1152 + (431*t[86])/36 + (1319*t[87])/384 + 
       (1319*t[88])/768 - (5425*t[89])/2304 + t[96]/4 + t[97]/6 + 2*t[98] - 
       2*t[99] - (13*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*(t[1] - (3*t[2])/4 + (3*t[3])/8 + 
       (343*t[4])/144 + (157*t[5])/144 - (167*t[6])/48 - (161*t[7])/36 - 
       (257*t[8])/36 - (649*t[9])/144 + (2579*t[10])/288 - (43*t[11])/16 - 
       (493*t[12])/96 - (3073*t[13])/432 + (4153*t[14])/1728 - 
       (571*t[15])/216 - (7*t[16])/12 - (7*t[25])/6 + t[26]/6 - 
       (5*t[28])/12 - (5*t[29])/6 - t[30]/6 - t[31]/3 - t[32]/2 + t[33]/2 - 
       t[35]/2 + (13*t[36])/12 + t[38] + t[40]/2 - (5*t[43])/12 + t[44]/12 + 
       t[45] + (5*t[46])/6 - 2*t[47] - (43*t[48])/16 + (821*t[49])/288 + 
       (59*t[50])/48 - (307*t[51])/192 - (59*t[52])/48 - (749*t[53])/288 - 
       (37*t[54])/36 - (2*t[59])/3 - (217*t[60])/18 - (941*t[61])/72 + 
       (1147*t[62])/288 + (1039*t[63])/96 - (739*t[64])/144 - 
       (6637*t[65])/432 + (143*t[66])/24 - t[68]/2 - t[69]/2 + t[72]/2 - 
       t[73] - t[74]/2 - (23*t[75])/2 - (4*t[76])/3 + t[77]/3 - (3*t[78])/2 + 
       (95*t[79])/12 - (35*t[80])/6 + (17*t[81])/12 - t[82]/4 + 
       (593*t[83])/36 - (37*t[84])/72 + (97*t[85])/36 - (203*t[86])/36 + 
       (73*t[87])/12 + (73*t[88])/24 - (725*t[89])/144 - t[96] - 
       (2*t[97])/3 - (16*t[98])/3 + (8*t[99])/3 - (25*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      (-t[3]/3 - t[5]/3 - t[6]/6 + (2*t[7])/3 + (2*t[8])/3 - (2*t[10])/3 + 
       (5*t[11])/6 + t[12]/3 - t[13]/9 + (11*t[14])/18 + t[15]/6 - 
       (4*t[28])/3 - (2*t[29])/3 + (2*t[30])/3 + (2*t[44])/3 - t[48]/2 + 
       t[50]/6 - t[52]/6 - t[54]/6 - t[60]/3 + (7*t[61])/3 - (13*t[62])/6 + 
       (3*t[63])/2 + (11*t[64])/6 - (11*t[65])/9 - t[66]/3 - 4*t[75] + 
       (10*t[83])/3 - t[84]/3 - t[85]/3 + (8*t[86])/3 + t[87] + t[88]/2 - 
       (5*t[89])/6 - 2*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      Omega2[v, w, u]*(-t[4]/3 - t[5]/3 + (2*t[7])/3 + (2*t[8])/3 + t[9]/3 - 
       (5*t[10])/6 - t[12]/2 - (5*t[13])/9 + (23*t[14])/36 - t[15]/9 + 
       t[49]/6 - t[51]/4 - t[53]/6 + t[54]/3 - t[60]/3 + (7*t[61])/3 - 
       (13*t[62])/6 + (3*t[63])/2 + (11*t[64])/6 - (11*t[65])/9 - t[66]/3 - 
       4*t[75] + (10*t[83])/3 - t[84]/3 - t[85]/3 + (8*t[86])/3 + t[87] + 
       t[88]/2 - (5*t[89])/6 - 2*t[100]) + HPL[{1}, 1 - v]^3*Omega2[u, v, w]*
      (-t[3]/3 - t[4]/3 - (11*t[5])/12 + t[6]/8 + (3*t[7])/4 + (17*t[8])/12 + 
       (5*t[9])/4 + (5*t[10])/6 + (11*t[11])/24 - (15*t[12])/4 + 
       (29*t[13])/36 + 3*t[14] - (17*t[15])/24 + (2*t[25])/3 - (2*t[26])/3 - 
       t[37] - t[46]/3 + t[48]/8 + (11*t[49])/12 - (13*t[50])/24 - 
       (13*t[51])/24 + (13*t[52])/24 - (11*t[53])/12 + (7*t[54])/8 - t[59] - 
       (11*t[60])/12 + (29*t[61])/4 - (119*t[62])/24 + (55*t[63])/24 + 
       (67*t[64])/24 - (2*t[65])/3 - (47*t[66])/6 - 2*t[69] + t[70] - t[71] - 
       t[73] + t[74] - 3*t[75] + t[79] + t[81]/2 - t[82]/2 + (23*t[83])/6 + 
       t[85]/12 + (5*t[86])/3 + (19*t[87])/12 + (19*t[88])/24 - 
       (19*t[89])/24 - 2*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - w]*((4*t[2])/3 - t[3]/6 + (13*t[4])/12 + 
       (5*t[5])/3 + t[6]/6 - t[7] - t[8]/6 - (11*t[9])/6 - (37*t[10])/24 + 
       (25*t[11])/12 - (17*t[12])/24 + (13*t[13])/9 + (55*t[14])/48 + 
       (5*t[15])/24 + t[20]/3 + t[24] + (2*t[28])/3 - t[29] + (2*t[30])/3 - 
       t[31] + t[33]/3 - 2*t[35] - t[44]/3 + t[48]/3 + (5*t[49])/24 + 
       t[50]/3 - (5*t[51])/48 - t[52]/3 - (5*t[53])/24 - (3*t[54])/4 - 
       t[59]/3 + t[60]/12 + (15*t[61])/4 - t[62]/8 - (17*t[63])/24 + 
       (31*t[64])/24 + t[65]/3 - (23*t[66])/6 - t[73] - t[75] + t[81]/2 - 
       t[82]/2 + t[83]/3 - (11*t[85])/12 - (4*t[86])/3 + (7*t[87])/12 + 
       (7*t[88])/24 - (7*t[89])/24 - 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (-4*t[1] - 3*t[3] + (81*t[4])/2 + 15*t[5] + (71*t[6])/4 + 5*t[7] + 
       15*t[8] - (5*t[9])/2 - 16*t[10] + (115*t[11])/4 - (23*t[12])/2 + 
       (355*t[13])/18 + (425*t[14])/24 - (13*t[15])/12 + 4*t[25] - 4*t[27] + 
       2*t[29] + 2*t[35] - 2*t[36] - 4*t[38] - 2*t[45] + 2*t[46] + 4*t[47] + 
       (45*t[48])/4 + (19*t[49])/2 - (19*t[50])/4 - (69*t[51])/8 + 
       (19*t[52])/4 - (25*t[53])/2 - (51*t[54])/4 + 2*t[59] + (147*t[60])/2 + 
       39*t[61] + 4*t[62] - 14*t[63] - (19*t[64])/2 - (131*t[65])/6 - 
       (131*t[66])/6 + 4*t[69] - 4*t[72] + 6*t[75] + 2*t[78] + 2*t[80] + 
       3*t[81] - 3*t[82] - 20*t[83] + (33*t[84])/2 + 11*t[85] - 28*t[86] - 
       34*t[87] - 13*t[88] + (83*t[89])/4 - 4*t[95] - 8*t[99] - 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-15*t[2] - (107*t[3])/4 - (13*t[4])/2 - (21*t[5])/2 + 17*t[6] + 
       (33*t[7])/2 + (23*t[8])/2 + 34*t[9] - t[10]/4 - 6*t[11] + 
       (29*t[12])/4 - (19*t[13])/12 + (269*t[14])/8 - (163*t[15])/72 + 
       4*t[20] - 4*t[22] - t[29] - 6*t[30] + 2*t[31] + t[32] + 4*t[34] + 
       2*t[35] + 4*t[36] + 2*t[37] + t[41] - t[42] + 2*t[43] - (9*t[44])/2 - 
       t[46] + 2*t[47] - (31*t[49])/4 - 4*t[50] + (25*t[51])/8 + 4*t[52] + 
       (31*t[53])/4 + 24*t[54] + 2*t[59] + (147*t[60])/2 + 39*t[61] + 
       4*t[62] - 14*t[63] - (19*t[64])/2 - (131*t[65])/6 - (131*t[66])/6 + 
       4*t[69] - 4*t[72] + 6*t[75] + 2*t[78] + 2*t[80] + 3*t[81] - 3*t[82] - 
       20*t[83] + (33*t[84])/2 + 11*t[85] - 28*t[86] - 34*t[87] - 13*t[88] + 
       (83*t[89])/4 - 4*t[95] - 8*t[99] - 2*t[100]) + 
     HPL[{0, 1}, 1 - v]*Nt[u, v, w]*(t[1]/3 - (2*t[2])/3 - (4*t[3])/3 + 
       (17*t[4])/4 - (5*t[5])/24 - (77*t[6])/96 + (97*t[7])/24 - (9*t[8])/8 + 
       (11*t[9])/48 + (19*t[10])/24 + (629*t[11])/96 + t[12]/24 + 
       (377*t[13])/216 + (499*t[14])/288 + (1457*t[15])/864 + t[27]/3 + 
       t[29]/12 + t[30]/2 + t[31]/3 + t[32]/3 - t[33]/3 - t[34]/3 + t[38]/6 + 
       t[39]/6 + t[40]/4 + t[41]/6 - t[42]/6 + t[43]/6 - t[44]/6 + t[47]/3 - 
       (5*t[48])/32 + (25*t[49])/24 + (161*t[50])/96 - (17*t[51])/48 - 
       (193*t[52])/96 - (3*t[53])/8 - (79*t[54])/32 + t[59]/6 - 
       (9*t[60])/16 + (179*t[61])/16 - (367*t[62])/96 + (191*t[63])/96 - 
       (359*t[64])/96 - (407*t[65])/144 - (349*t[66])/144 - (2*t[72])/3 + 
       2*t[75] + (7*t[76])/3 + t[77]/3 - (11*t[78])/3 - 2*t[79] + 
       (2*t[80])/3 - t[81]/6 - t[82] - 3*t[83] - (107*t[84])/48 - 
       (91*t[85])/48 - (10*t[86])/3 - (79*t[87])/48 - (79*t[88])/96 + 
       (23*t[89])/96 + t[96] + (2*t[97])/3 + 8*t[98] - 8*t[99] - 2*t[100]) + 
     HPL[{0, 1}, 1 - w]*Nt[u, v, w]*(t[1]/3 - (2*t[2])/3 - t[3] + 
       (25*t[4])/48 + t[5]/2 + (15*t[6])/8 - t[7]/2 + (17*t[8])/6 + t[9]/3 + 
       (419*t[10])/96 - (13*t[11])/8 - (89*t[12])/96 - (1223*t[13])/432 + 
       (1039*t[14])/192 + (43*t[15])/288 - t[27]/3 + (2*t[28])/3 + t[29]/3 - 
       t[30]/3 + t[31]/3 - t[34]/3 + t[38]/6 + t[39]/2 + t[41]/6 - t[42]/6 + 
       t[43]/6 - t[44]/3 + (29*t[48])/24 + (75*t[49])/32 - (67*t[50])/24 - 
       (79*t[51])/64 + (59*t[52])/24 - (161*t[53])/96 + (77*t[54])/48 + 
       t[59]/6 - (9*t[60])/16 + (179*t[61])/16 - (367*t[62])/96 + 
       (191*t[63])/96 - (359*t[64])/96 - (407*t[65])/144 - (349*t[66])/144 - 
       (2*t[72])/3 + 2*t[75] + (7*t[76])/3 + t[77]/3 - (11*t[78])/3 - 
       2*t[79] + (2*t[80])/3 - t[81]/6 - t[82] - 3*t[83] - (107*t[84])/48 - 
       (91*t[85])/48 - (10*t[86])/3 - (79*t[87])/48 - (79*t[88])/96 + 
       (23*t[89])/96 + t[96] + (2*t[97])/3 + 8*t[98] - 8*t[99] - 2*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - w]*(-t[2]/6 + (19*t[3])/18 - 
       (13*t[4])/6 + (19*t[5])/18 - (5*t[6])/36 - (31*t[7])/36 - 
       (61*t[8])/12 - (9*t[9])/4 - (139*t[10])/24 + (55*t[11])/18 + 
       (1063*t[12])/72 - (253*t[13])/324 - (1225*t[14])/144 + (13*t[15])/18 - 
       (29*t[25])/9 + (59*t[26])/18 - t[36]/9 + (28*t[37])/9 + t[38]/18 + 
       t[40]/9 + (149*t[46])/36 - (49*t[48])/36 - (659*t[49])/72 + 
       (7*t[50])/12 - (95*t[51])/144 - (29*t[52])/36 + (449*t[53])/72 - 
       (26*t[54])/9 + (151*t[59])/36 - (7*t[60])/3 - (763*t[61])/36 + 
       (521*t[62])/72 - (907*t[63])/72 + (127*t[64])/18 + (113*t[65])/108 + 
       (433*t[66])/27 - t[67]/6 + (20*t[69])/3 - (23*t[70])/9 + 
       (23*t[71])/9 + 3*t[73] - (8*t[74])/9 + 5*t[75] + (5*t[76])/9 - 
       (17*t[78])/18 - t[79] - t[80]/9 - t[81]/2 + t[82]/3 - (13*t[83])/2 + 
       (23*t[84])/36 + (59*t[85])/36 - 3*t[86] + (11*t[87])/3 + 
       (85*t[88])/36 + (137*t[89])/18 - (2*t[95])/9 + t[96]/3 + t[97]/9 + 
       (8*t[98])/3 - (8*t[99])/3 - 2*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*(t[1]/2 - (77*t[2])/32 - 
       (13*t[3])/16 - (47*t[4])/16 - (359*t[5])/96 - (153*t[6])/32 + 
       (613*t[7])/96 - (1609*t[8])/96 + (23*t[9])/8 + (45*t[10])/32 + 
       (103*t[11])/96 + (7*t[12])/16 - (21*t[13])/8 + (45*t[14])/64 + 
       (1481*t[15])/432 - (7*t[20])/12 + (5*t[24])/12 - t[25]/2 + t[27]/2 + 
       (5*t[28])/12 - t[29]/12 + (4*t[30])/3 - (13*t[31])/6 + 2*t[32] - 
       (19*t[33])/12 - t[34] - (35*t[35])/12 + t[38]/2 + t[39]/4 - t[40]/4 + 
       (11*t[44])/12 + t[45]/2 - t[46]/8 - t[47] - (389*t[48])/96 - 
       (17*t[49])/16 + (455*t[50])/96 + (51*t[51])/64 - (455*t[52])/96 + 
       (23*t[53])/16 - (257*t[54])/96 + t[59]/4 - (101*t[60])/16 + 
       (5*t[61])/24 + (27*t[62])/32 + (1291*t[63])/96 - (151*t[64])/6 - 
       (463*t[65])/144 + (227*t[66])/144 + t[69]/2 - t[70] + t[71] - 
       (3*t[72])/2 - t[73]/2 - (23*t[74])/24 - (17*t[75])/12 + t[77]/4 - 
       (5*t[79])/24 - (3*t[80])/4 - (17*t[83])/4 - (5*t[84])/3 - 
       (25*t[85])/12 - (173*t[86])/24 - (5*t[87])/12 - (17*t[88])/24 - 
       (199*t[89])/32 + t[95]/2 + 2*t[99] - 2*t[100]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]^2*(-t[1]/12 - (13*t[2])/24 - 
       (7*t[3])/16 - (13*t[4])/16 + (223*t[5])/24 - (43*t[6])/16 - 
       (425*t[7])/48 - (355*t[8])/48 - (99*t[9])/16 + (239*t[10])/96 - 
       (257*t[11])/48 - (283*t[12])/96 + (469*t[13])/864 - (1405*t[14])/576 + 
       (2837*t[15])/864 + t[18]/9 - t[20]/3 + t[22]/6 + t[24]/2 - 
       (2*t[25])/3 - t[26]/3 + t[28]/3 - t[29]/12 + t[30] - (5*t[31])/6 - 
       t[32]/3 + t[33]/3 + t[34]/3 - (10*t[35])/3 + (2*t[38])/3 - 
       (2*t[39])/3 + (4*t[40])/3 - (19*t[43])/48 - (5*t[44])/6 - 
       (25*t[45])/24 - t[46]/6 + t[47]/4 - (7*t[48])/6 + (107*t[49])/96 - 
       (3*t[50])/4 - (91*t[51])/192 - (11*t[52])/12 - (107*t[53])/96 - 
       (29*t[54])/16 - t[58]/3 + (3*t[59])/8 + (5*t[60])/48 - 
       (269*t[61])/48 + (1885*t[62])/96 + (1007*t[63])/96 - (1351*t[64])/96 - 
       (7*t[65])/12 + (301*t[66])/24 + t[67]/24 + t[69]/4 - t[70]/6 + 
       t[71]/6 - t[72]/2 + t[73]/12 + (2*t[74])/3 - (41*t[75])/12 + 
       (7*t[76])/3 + t[77]/6 - (11*t[78])/6 + (9*t[79])/4 + (3*t[80])/2 + 
       (25*t[81])/24 + (13*t[82])/8 + (19*t[83])/24 - (19*t[84])/24 + 
       (23*t[85])/16 - (181*t[86])/12 - (43*t[87])/16 - (43*t[88])/32 - 
       (349*t[89])/96 + t[97]/3 + 8*t[98] - 9*t[99] - (47*t[100])/24) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      (-t[1]/16 - (55*t[2])/48 + (7*t[3])/4 - (2095*t[4])/384 - (3*t[5])/8 + 
       (21*t[6])/64 + (479*t[7])/96 + (323*t[8])/96 + (325*t[9])/96 - 
       (733*t[10])/768 - (407*t[11])/192 + (765*t[12])/256 - 
       (6077*t[13])/1152 + (1109*t[14])/4608 - (15883*t[15])/6912 + t[22]/4 - 
       t[24]/12 + (3*t[26])/8 + t[28] + t[29]/4 - (23*t[30])/24 - 
       (5*t[31])/12 + (3*t[32])/4 - t[33]/2 - t[34]/8 + t[35]/3 + 
       (7*t[36])/8 + t[37]/2 - t[38]/4 + t[39]/4 - t[40]/4 + (3*t[41])/16 - 
       (3*t[42])/16 + t[43]/4 - t[44]/4 - t[46]/8 + t[47]/4 + (79*t[48])/64 - 
       (911*t[49])/768 + (37*t[50])/192 + (299*t[51])/1536 + (83*t[52])/192 + 
       (911*t[53])/768 + (207*t[54])/128 + t[58]/8 + (3*t[59])/16 - 
       (217*t[60])/128 - (587*t[61])/384 - (1477*t[62])/256 - 
       (1937*t[63])/768 + (9097*t[64])/768 + (295*t[65])/384 + 
       (5167*t[66])/1152 - t[69]/4 + t[72]/4 + (9*t[73])/8 - (17*t[74])/24 - 
       t[75]/24 - (5*t[76])/8 - (7*t[77])/8 - t[78] - (11*t[79])/24 + 
       t[80]/2 - (3*t[81])/2 + (19*t[82])/16 - (47*t[83])/24 + 
       (19*t[84])/128 - (683*t[85])/384 + (85*t[86])/8 + (877*t[87])/384 + 
       (1069*t[88])/768 - (475*t[89])/256 - t[97]/8 - (27*t[98])/4 + 
       (25*t[99])/4 - (15*t[100])/8) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*(t[2]/6 - (7*t[3])/9 + (7*t[5])/288 - 
       (43*t[6])/72 + (173*t[7])/144 - (187*t[8])/144 - (73*t[9])/96 + 
       (55*t[10])/144 + (31*t[11])/144 - (55*t[12])/288 - (31*t[13])/108 - 
       (91*t[14])/864 - (41*t[15])/1728 - (85*t[28])/36 - (5*t[29])/9 + 
       (5*t[30])/9 - (5*t[31])/6 - (5*t[35])/3 + (65*t[44])/36 - t[48]/24 + 
       (67*t[50])/72 - (67*t[52])/72 - (43*t[54])/72 - (49*t[60])/36 + 
       (119*t[61])/72 - (107*t[62])/144 + (217*t[63])/48 - (167*t[64])/144 - 
       (205*t[65])/216 + (71*t[66])/72 - (5*t[72])/6 - (5*t[73])/4 - 
       (25*t[75])/12 + (5*t[79])/4 + (85*t[83])/36 + t[84]/18 - 
       (5*t[85])/18 - (55*t[86])/36 + (25*t[87])/12 + (11*t[88])/8 - 
       (31*t[89])/144 - (5*t[100])/3) + HPL[{1}, 1 - v]^4*
      HPL[{0, 1, 1}, 1 - u]*((-19*t[3])/72 + t[4]/9 - (209*t[5])/288 + 
       (19*t[6])/192 + t[7] + (55*t[8])/36 + (95*t[9])/96 - (7*t[10])/144 - 
       (247*t[11])/576 - (37*t[12])/16 + (515*t[13])/864 + (637*t[14])/288 - 
       (341*t[15])/576 + (19*t[25])/36 - (19*t[26])/36 - (5*t[37])/12 - 
       (95*t[46])/144 + (19*t[48])/192 + (59*t[49])/72 - (247*t[50])/576 - 
       (103*t[51])/576 + (247*t[52])/576 - (59*t[53])/72 + (133*t[54])/192 - 
       (17*t[59])/24 - (209*t[60])/288 + (457*t[61])/96 - (2389*t[62])/576 + 
       (1489*t[63])/576 + (1309*t[64])/576 + (11*t[65])/72 - (89*t[66])/16 - 
       (5*t[69])/6 + (5*t[70])/12 - (5*t[71])/12 - (19*t[73])/24 - 
       (19*t[75])/8 + (19*t[81])/48 - (19*t[82])/48 + (29*t[83])/9 + 
       (19*t[85])/288 + (53*t[86])/18 + (361*t[87])/288 + (361*t[88])/576 - 
       (469*t[89])/576 - (19*t[100])/12) + HPL[{1}, 1 - w]^4*
      HPL[{0, 0, 1}, 1 - w]*((29*t[2])/24 - (23*t[3])/6 + (9*t[4])/8 - 
       (11*t[5])/24 - (29*t[6])/8 + (19*t[7])/4 - (25*t[8])/3 + (37*t[9])/8 + 
       (3*t[10])/16 + (29*t[11])/6 - (13*t[12])/48 + (7*t[13])/6 + 
       (775*t[14])/288 + (65*t[15])/72 - (4*t[20])/3 - (8*t[28])/3 - 
       (13*t[29])/12 + (4*t[30])/3 - (4*t[33])/3 - 2*t[35] + (4*t[44])/3 - 
       (31*t[48])/8 + (5*t[49])/16 + (77*t[50])/24 - (5*t[51])/32 - 
       (77*t[52])/24 - (5*t[53])/16 - (23*t[54])/6 - t[59]/24 - 
       (59*t[60])/24 + (31*t[61])/4 - (109*t[62])/16 + (283*t[63])/48 + 
       (25*t[64])/48 - (89*t[65])/36 - (68*t[66])/9 - (5*t[73])/6 + t[74] - 
       (35*t[75])/6 + t[79] + (7*t[81])/12 - (7*t[82])/12 + (22*t[83])/3 - 
       (5*t[84])/12 - t[85]/24 + (7*t[86])/3 + (71*t[87])/24 + 
       (71*t[88])/48 - (107*t[89])/48 - (3*t[100])/2) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - v]*(t[1]/12 - t[3]/4 + (5*t[4])/6 - 
       t[5] - t[6]/16 + (5*t[7])/6 + (4*t[8])/3 + (5*t[9])/4 + 
       (55*t[10])/24 - (13*t[11])/16 - 3*t[12] - (25*t[13])/18 + 
       (731*t[14])/144 - (49*t[15])/36 + t[25]/2 - (2*t[26])/3 + t[38]/12 - 
       (3*t[46])/4 - t[48]/16 + (15*t[49])/8 - (9*t[50])/16 - (25*t[51])/24 + 
       (9*t[52])/16 - (15*t[53])/8 + (59*t[54])/48 - t[59]/24 - 
       (59*t[60])/24 + (31*t[61])/4 - (109*t[62])/16 + (283*t[63])/48 + 
       (25*t[64])/48 - (89*t[65])/36 - (68*t[66])/9 - (5*t[73])/6 + t[74] - 
       (35*t[75])/6 + t[79] + (7*t[81])/12 - (7*t[82])/12 + (22*t[83])/3 - 
       (5*t[84])/12 - t[85]/24 + (7*t[86])/3 + (71*t[87])/24 + 
       (71*t[88])/48 - (107*t[89])/48 - (3*t[100])/2) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - w]*((5*t[2])/3 - (8*t[3])/3 + 
       (5*t[4])/12 - (25*t[5])/24 - (8*t[6])/3 + (23*t[7])/12 - 
       (67*t[8])/12 + (157*t[9])/24 + (11*t[10])/8 + (5*t[11])/2 - t[12]/2 + 
       t[13] + (539*t[14])/144 + (23*t[15])/48 - 2*t[28] - t[29] - 2*t[33] - 
       (8*t[35])/3 - (11*t[48])/6 + t[49]/24 + (11*t[50])/6 - t[51]/48 - 
       (11*t[52])/6 - t[53]/24 - (23*t[54])/12 - (5*t[59])/6 - (7*t[60])/12 + 
       (59*t[61])/12 - (145*t[62])/24 + (149*t[63])/24 + (113*t[64])/24 - 
       (20*t[65])/9 - (139*t[66])/18 - t[67]/6 - t[69] - t[73] + 2*t[74] - 
       (5*t[75])/3 + (7*t[79])/3 + t[81]/6 - t[82]/6 + (9*t[83])/2 + 
       t[84]/6 + t[85]/12 + (5*t[86])/3 + (11*t[87])/12 + (11*t[88])/24 - 
       (17*t[89])/24 - (3*t[100])/2) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1, 1}, 1 - v]*(-t[1]/3 - t[3]/6 + 2*t[4] - (7*t[5])/24 + 
       t[6]/8 + (7*t[7])/12 + (11*t[8])/12 + (11*t[9])/24 + (25*t[10])/12 + 
       (5*t[11])/24 - (25*t[12])/8 + (19*t[13])/18 + (151*t[14])/72 - 
       (91*t[15])/144 + t[16]/6 + t[25]/3 + t[26]/3 + t[36]/3 - t[38]/3 - 
       (7*t[46])/6 + t[48]/8 + (11*t[49])/6 - (5*t[50])/24 - t[51]/24 + 
       (5*t[52])/24 - (11*t[53])/6 + (5*t[54])/24 - (5*t[59])/6 - 
       (7*t[60])/12 + (59*t[61])/12 - (145*t[62])/24 + (149*t[63])/24 + 
       (113*t[64])/24 - (20*t[65])/9 - (139*t[66])/18 - t[67]/6 - t[69] - 
       t[73] + 2*t[74] - (5*t[75])/3 + (7*t[79])/3 + t[81]/6 - t[82]/6 + 
       (9*t[83])/2 + t[84]/6 + t[85]/12 + (5*t[86])/3 + (11*t[87])/12 + 
       (11*t[88])/24 - (17*t[89])/24 - (3*t[100])/2) + 
     B7[v, w, u]*HPL[{1}, 1 - v]*(-t[5]/4 + t[9]/4 - t[10]/4 + t[11]/2 + 
       (5*t[12])/2 - (5*t[13])/6 + t[14]/24 + t[15]/24 - t[49]/4 + t[51]/8 + 
       t[53]/4 + t[59]/2 - 2*t[60] + t[61]/2 - t[64]/2 + t[65] + 
       (2*t[66])/3 + t[69] - t[70] + t[71] - t[83] + t[87] + t[88]/2 - 
       t[89]/2 - (3*t[100])/2) + B7[w, u, v]*HPL[{1}, 1 - w]*
      ((-3*t[2])/2 - t[3]/4 + t[6]/2 - t[7]/2 + t[8] - t[9] - t[10]/2 + 
       t[11]/4 - t[13]/24 - (17*t[14])/12 + (23*t[15])/24 - t[20] - t[34] + 
       t[48]/4 - t[50]/4 + t[52]/4 + t[54]/4 + t[59]/2 - 2*t[60] + t[61]/2 - 
       t[64]/2 + t[65] + (2*t[66])/3 + t[69] - t[70] + t[71] - t[83] + 
       t[87] + t[88]/2 - t[89]/2 - (3*t[100])/2) + 
     B8[v, w, u]*HPL[{1}, 1 - v]*(t[5]/8 - t[9]/8 - t[10]/4 - (5*t[11])/4 + 
       (13*t[12])/8 - (2*t[13])/3 + t[14]/8 - t[15]/16 + t[36] - t[46]/2 + 
       t[49]/4 + t[51]/4 - t[53]/4 + t[59]/2 - 3*t[60] + t[62]/4 + 
       (11*t[63])/4 - (9*t[64])/4 + (13*t[65])/6 + (11*t[66])/6 + t[69] - 
       t[70] + t[71] - t[74] - t[75] + t[83] + 2*t[87] + t[88] - t[89]/4 - 
       (3*t[100])/2) + B8[w, u, v]*HPL[{1}, 1 - w]*((-9*t[2])/4 - t[3]/4 - 
       (5*t[5])/8 + t[7]/2 + (3*t[8])/2 - (5*t[9])/8 - t[10]/2 + 
       (3*t[12])/8 - t[13]/8 - (25*t[14])/24 + (67*t[15])/48 - t[20] - 
       t[28] + t[32] - t[33] - t[34] + t[35] - t[48]/4 + t[50]/4 - t[52]/4 - 
       t[54]/4 + t[59]/2 - 3*t[60] + t[62]/4 + (11*t[63])/4 - (9*t[64])/4 + 
       (13*t[65])/6 + (11*t[66])/6 + t[69] - t[70] + t[71] - t[74] - t[75] + 
       t[83] + 2*t[87] + t[88] - t[89]/4 - (3*t[100])/2) + 
     HPL[{1}, 1 - v]^2*M1[w, u, v]*(-t[3]/4 - t[5]/2 + (3*t[6])/16 + t[7]/8 + 
       (5*t[8])/8 + (3*t[9])/4 + t[10]/4 + (15*t[11])/16 - (7*t[12])/4 + 
       (11*t[13])/12 + (4*t[14])/3 - t[15]/6 + t[25]/2 - t[26]/2 - t[37]/2 + 
       (3*t[48])/16 + (3*t[49])/8 - (5*t[50])/16 - (3*t[51])/16 + 
       (5*t[52])/16 - (3*t[53])/8 + (5*t[54])/16 - (3*t[59])/4 + 
       (5*t[60])/8 + (33*t[61])/8 - (23*t[62])/16 + (3*t[63])/16 + 
       (7*t[64])/16 - t[65]/4 - (9*t[66])/2 - t[69] + t[70]/2 - t[71]/2 - 
       t[73]/2 + t[74]/2 - t[75]/2 + t[79]/2 + t[81]/4 - t[82]/4 + 
       (3*t[83])/4 + t[84]/4 + t[85]/8 - t[86]/2 - t[87]/8 - t[88]/16 - 
       (3*t[89])/16 - (3*t[100])/2) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1, 1}, 1 - u]*(t[1]/3 - t[3]/3 - (7*t[4])/2 - (17*t[5])/24 + 
       t[6]/4 - t[7]/3 + t[8]/3 + (25*t[9])/24 + t[10]/6 + (17*t[11])/3 - 
       (85*t[12])/8 + (11*t[13])/2 - (35*t[14])/36 + (79*t[15])/144 + 
       t[16]/6 + (2*t[25])/3 - (4*t[26])/3 - t[36]/3 - 5*t[37] + t[38]/3 + 
       (13*t[46])/6 + t[48]/4 - (5*t[49])/6 - (5*t[50])/12 - (17*t[51])/24 + 
       (5*t[52])/12 + (5*t[53])/6 - t[54]/12 - (31*t[59])/6 + (7*t[60])/3 + 
       (53*t[61])/6 - (43*t[62])/12 - (109*t[63])/12 + (53*t[64])/12 + 
       (20*t[65])/9 - (95*t[66])/9 - t[67]/6 - 9*t[69] + 5*t[70] - 5*t[71] - 
       2*t[73] + 3*t[74] + (8*t[75])/3 + (8*t[79])/3 + t[81]/3 - t[82]/3 - 
       3*t[83] + (5*t[84])/6 + (2*t[85])/3 - (8*t[86])/3 - (5*t[87])/3 - 
       (5*t[88])/6 + (31*t[89])/12 - (3*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((13*t[1])/24 - t[2]/3 - (299*t[3])/32 + (443*t[4])/64 - (25*t[5])/32 + 
       (1547*t[6])/128 - (133*t[7])/32 + (1591*t[8])/96 + (161*t[9])/192 + 
       (3691*t[10])/384 + (1687*t[11])/384 + (69*t[12])/128 + 
       (4643*t[13])/1728 + (8849*t[14])/768 + (3935*t[15])/576 + 
       (3*t[26])/4 + t[27]/3 + (17*t[28])/6 - (11*t[29])/24 + (17*t[30])/24 + 
       t[31]/6 - t[32]/2 + t[33]/2 - (11*t[34])/12 - 4*t[35] - (3*t[36])/2 + 
       t[37] - t[38]/6 + (17*t[39])/8 - (15*t[40])/8 + (11*t[41])/24 - 
       (11*t[42])/24 - t[43]/6 - (161*t[44])/48 + t[45] + t[46] - 
       (3*t[47])/2 + (2371*t[48])/384 + (43*t[49])/128 - (1565*t[50])/384 - 
       (175*t[51])/256 + (1789*t[52])/384 + (149*t[53])/128 + 
       (517*t[54])/128 + t[58]/4 + (23*t[59])/24 - (35*t[60])/16 + 
       (519*t[61])/16 + (1183*t[62])/96 - (1151*t[63])/96 - (2017*t[64])/96 + 
       (2609*t[65])/432 - (1139*t[66])/144 + t[69]/2 - (5*t[72])/6 + 
       t[73]/2 + 2*t[74] + (9*t[75])/2 + (29*t[76])/12 + (19*t[77])/6 - 
       (10*t[78])/3 - (5*t[79])/2 - (25*t[80])/6 + (17*t[81])/12 - 
       (15*t[82])/4 - (7*t[83])/12 - (73*t[84])/48 - (317*t[85])/48 - 
       (211*t[86])/6 - (11*t[87])/48 - (11*t[88])/96 + (1093*t[89])/96 + 
       2*t[96] + (13*t[97])/12 + 7*t[98] - 7*t[99] - (3*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      (t[2]/24 + (97*t[3])/24 - (73*t[4])/16 + (125*t[5])/192 - 
       (417*t[6])/128 + (1315*t[7])/192 - (589*t[8])/192 + (241*t[9])/64 - 
       (123*t[10])/64 + (77*t[11])/384 + (27*t[12])/32 - (3611*t[13])/1728 - 
       (4061*t[14])/1152 - (1709*t[15])/1152 - t[20]/12 - t[28]/3 + 
       (2*t[29])/3 - t[30]/12 + t[31]/12 + t[32] - (13*t[33])/12 + 
       (13*t[35])/12 + t[36] - t[37]/8 + (5*t[43])/12 + (5*t[44])/12 + 
       (5*t[45])/12 + t[46]/6 - (5*t[47])/6 - (595*t[48])/384 - 
       (67*t[49])/96 + (685*t[50])/384 + (19*t[51])/64 - (685*t[52])/384 + 
       (67*t[53])/96 - (255*t[54])/128 - t[59]/8 - (31*t[60])/64 - 
       (403*t[61])/64 - (919*t[62])/128 - (199*t[63])/384 + (427*t[64])/128 + 
       (139*t[65])/48 + (305*t[66])/96 - t[69]/4 + t[70]/8 - t[71]/8 + 
       (13*t[73])/16 - (15*t[74])/16 - (41*t[75])/48 - t[76]/4 - t[77] - 
       (2*t[78])/3 + (5*t[79])/24 + (31*t[80])/24 - (91*t[81])/96 + 
       (37*t[82])/32 - (41*t[83])/48 - (3*t[84])/4 - (89*t[85])/192 + 
       (313*t[86])/24 + (173*t[87])/192 + (173*t[88])/384 - (809*t[89])/384 - 
       (3*t[98])/2 + 3*t[99] - (3*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (t[1] - (3*t[2])/2 - (79*t[3])/18 + (163*t[4])/12 + (53*t[5])/18 + 
       (43*t[6])/72 - (1117*t[7])/72 + (65*t[8])/72 - (271*t[9])/24 + 
       (1069*t[10])/72 + (439*t[11])/72 - (22*t[12])/9 + (25*t[13])/108 + 
       (308*t[14])/27 + (1543*t[15])/432 - t[25]/3 + t[26]/3 + (37*t[28])/9 - 
       (17*t[29])/18 - (19*t[30])/18 + t[31]/6 - 2*t[32] + 2*t[33] - 
       t[35]/3 - t[36] - t[37] + (7*t[43])/24 - (55*t[44])/18 + 
       (13*t[45])/4 - (11*t[46])/6 - (13*t[47])/2 + (41*t[48])/24 + 7*t[49] - 
       (25*t[50])/72 - (37*t[51])/24 + (25*t[52])/72 - 7*t[53] - 
       (71*t[54])/72 + t[59] - (41*t[60])/9 + (509*t[61])/36 - 
       (545*t[62])/72 - (329*t[63])/24 + (79*t[64])/72 - (2947*t[65])/108 - 
       (589*t[66])/36 + 2*t[69] - t[70] + t[71] + (5*t[72])/6 + 2*t[74] - 
       (2*t[75])/3 + 2*t[77] + 2*t[78] + 9*t[79] + (3*t[81])/2 + t[82]/3 - 
       (40*t[83])/9 + (29*t[84])/18 - (59*t[85])/36 + (13*t[86])/9 + 
       (29*t[87])/12 + (29*t[88])/24 - (95*t[89])/9 - 4*t[99] - 
       (4*t[100])/3) + HPL[{1}, 1 - v]^2*M1[v, w, u]*
      ((-5*t[3])/24 + (5*t[4])/12 - (23*t[5])/48 + t[6]/8 + t[7]/4 + 
       (2*t[8])/3 + (11*t[9])/16 + (5*t[10])/24 + (5*t[11])/6 - 
       (27*t[12])/16 + (35*t[13])/144 + (4*t[14])/3 - (7*t[15])/32 + 
       t[25]/6 - t[26]/6 - t[37]/2 + t[46]/6 + t[48]/8 + (7*t[49])/24 - 
       (7*t[50])/24 - (17*t[51])/48 + (7*t[52])/24 - (7*t[53])/24 + 
       (3*t[54])/8 - t[59]/2 + (13*t[60])/12 + (13*t[61])/4 - (43*t[62])/24 - 
       (29*t[63])/24 - t[64]/3 - (11*t[65])/8 - (27*t[66])/8 - t[69] + 
       t[70]/2 - t[71]/2 - t[73]/2 + t[74]/2 - t[75]/2 + t[79]/2 + t[81]/4 - 
       t[82]/4 + t[83]/12 + t[84]/8 + t[85]/12 + t[86]/6 - t[87]/6 - 
       t[88]/12 - t[89]/6 - (5*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((-5*t[4])/12 - (5*t[5])/96 + (5*t[7])/48 + 
       (5*t[8])/48 + (5*t[9])/96 + (13*t[10])/48 + (13*t[11])/48 + 
       (41*t[12])/96 - t[13]/36 + (97*t[14])/288 - (77*t[15])/576 + 
       (5*t[36])/12 - (3*t[49])/8 - t[51]/6 + (3*t[53])/8 - t[60]/4 + 
       (23*t[61])/24 - (59*t[62])/48 + (9*t[63])/16 - (19*t[64])/48 - 
       (5*t[65])/72 - (19*t[66])/72 + (5*t[69])/6 - (5*t[73])/12 - 
       (5*t[75])/4 + (5*t[79])/12 + (10*t[83])/3 + t[84]/3 + (5*t[86])/12 + 
       (5*t[87])/12 + (13*t[88])/24 - (7*t[89])/48 - (5*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      ((31*t[2])/64 + (29*t[3])/48 + (133*t[4])/192 - (17*t[5])/32 - 
       (131*t[6])/96 + (139*t[7])/192 + (755*t[8])/192 - (149*t[9])/192 - 
       (1187*t[10])/384 + (73*t[11])/192 - (227*t[12])/384 - 
       (1283*t[13])/1728 - (1699*t[14])/2304 - (41*t[15])/32 + t[20]/12 - 
       t[24]/8 + t[25]/12 - t[26]/12 - (5*t[28])/8 + (3*t[29])/16 - 
       t[30]/12 - (11*t[31])/12 - t[32]/12 + t[33]/6 + (31*t[35])/24 + 
       t[36]/3 - t[37]/8 - t[39] + t[40] - t[41]/16 + t[42]/16 - 
       (11*t[43])/48 - (7*t[44])/24 - t[45] - (25*t[46])/24 + (15*t[47])/8 + 
       t[48]/6 + (207*t[49])/128 + t[50]/16 - (53*t[51])/768 - t[52]/16 - 
       (207*t[53])/128 - (25*t[54])/192 - (95*t[60])/192 - (449*t[61])/64 - 
       (2743*t[62])/384 - (31*t[63])/128 + (1171*t[64])/384 + (45*t[65])/16 + 
       (367*t[66])/96 + (15*t[73])/16 - (17*t[74])/16 - (35*t[75])/48 - 
       t[76]/4 - t[77] - (2*t[78])/3 + t[79]/12 + (31*t[80])/24 - 
       (97*t[81])/96 + (39*t[82])/32 - (5*t[83])/6 - (3*t[84])/4 - 
       (67*t[85])/192 + (40*t[86])/3 + (53*t[87])/64 + (53*t[88])/128 - 
       (273*t[89])/128 - (3*t[98])/2 + 3*t[99] - (5*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      ((-25*t[2])/6 - (8*t[3])/3 - t[4]/12 - (5*t[5])/48 - (65*t[6])/24 + 
       (97*t[7])/24 - (203*t[8])/24 - (203*t[9])/48 - (13*t[10])/12 + 
       (9*t[11])/4 + (11*t[12])/48 - t[13]/9 - t[14]/2 + (3689*t[15])/864 - 
       (7*t[20])/3 + t[24] - (5*t[28])/2 - (11*t[29])/6 + (7*t[30])/6 - 
       (11*t[31])/6 + 3*t[32] - (7*t[33])/3 - 2*t[34] - (19*t[35])/3 + 
       3*t[44] - (17*t[48])/8 + t[49]/24 + (27*t[50])/8 - t[51]/48 - 
       (27*t[52])/8 - t[53]/24 - (83*t[54])/24 + t[59]/2 - 12*t[60] + 
       (61*t[61])/12 + t[62]/24 + (109*t[63])/8 - (211*t[64])/24 + 
       (83*t[65])/12 + (53*t[66])/36 + t[69]/3 - (5*t[70])/3 + (5*t[71])/3 - 
       (5*t[72])/6 + t[73]/6 - (8*t[74])/3 - (11*t[75])/2 + (7*t[79])/6 - 
       t[83]/3 - (2*t[84])/3 - (3*t[85])/2 - (11*t[86])/2 + (26*t[87])/3 + 
       (13*t[88])/3 - (77*t[89])/24 - t[100]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 0, 1}, 1 - w]*((13*t[2])/12 - (10*t[3])/3 + (11*t[4])/12 - 
       (5*t[5])/12 - (19*t[6])/6 + (15*t[7])/4 - (79*t[8])/12 + (23*t[9])/6 + 
       (7*t[10])/24 + (47*t[11])/12 - (7*t[12])/24 + (29*t[13])/36 + 
       (89*t[14])/48 + (55*t[15])/72 - (4*t[20])/3 - (8*t[28])/3 - t[29] + 
       (4*t[30])/3 - (4*t[33])/3 - 2*t[35] + (4*t[44])/3 - (10*t[48])/3 + 
       (7*t[49])/24 + (8*t[50])/3 - (7*t[51])/48 - (8*t[52])/3 - 
       (7*t[53])/24 - (13*t[54])/4 - (37*t[60])/12 + (25*t[61])/4 - 
       (169*t[62])/24 + (29*t[63])/24 + (29*t[64])/24 - (11*t[65])/6 - 
       (17*t[66])/3 - t[73] + t[74] - 5*t[75] + t[79] + t[81]/2 - t[82]/2 + 
       (20*t[83])/3 - t[84]/2 - t[85]/12 + (7*t[86])/3 + (41*t[87])/12 + 
       (41*t[88])/24 - (41*t[89])/24 - t[100]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 0, 1}, 1 - v]*(-t[3]/6 + t[4]/3 - (5*t[5])/6 - t[6]/8 + 
       (3*t[7])/4 + (13*t[8])/12 + t[9] + (23*t[10])/12 - (23*t[11])/24 - 
       (9*t[12])/4 - (25*t[13])/18 + (97*t[14])/24 - (7*t[15])/6 + t[25]/3 - 
       t[26]/3 - (2*t[46])/3 - t[48]/8 + (4*t[49])/3 - (11*t[50])/24 - 
       (5*t[51])/6 + (11*t[52])/24 - (4*t[53])/3 + (9*t[54])/8 - 
       (37*t[60])/12 + (25*t[61])/4 - (169*t[62])/24 + (29*t[63])/24 + 
       (29*t[64])/24 - (11*t[65])/6 - (17*t[66])/3 - t[73] + t[74] - 
       5*t[75] + t[79] + t[81]/2 - t[82]/2 + (20*t[83])/3 - t[84]/2 - 
       t[85]/12 + (7*t[86])/3 + (41*t[87])/12 + (41*t[88])/24 - 
       (41*t[89])/24 - t[100]) + HPL[{1}, 1 - w]^3*Omega2[v, w, u]*
      ((11*t[2])/12 - (5*t[3])/6 + (11*t[4])/12 + (25*t[5])/12 - (7*t[6])/6 - 
       t[7]/4 - (43*t[8])/12 - (7*t[9])/6 - (17*t[10])/24 + (29*t[11])/12 - 
       (31*t[12])/24 + (8*t[13])/9 + (25*t[14])/48 + (13*t[15])/24 - 
       t[20]/3 + t[24] - (2*t[28])/3 - t[29] + (4*t[30])/3 - t[31] - 
       t[33]/3 - 4*t[35] + t[44]/3 - (5*t[48])/6 + (7*t[49])/24 + 
       (7*t[50])/6 - (7*t[51])/48 - (7*t[52])/6 - (7*t[53])/24 - 
       (7*t[54])/4 - (25*t[60])/12 + (19*t[61])/4 - (25*t[62])/24 + 
       (17*t[63])/24 + (17*t[64])/24 - t[65]/2 - 3*t[66] - t[73] + t[74] - 
       3*t[75] + t[79] + t[81]/2 - t[82]/2 + (8*t[83])/3 - t[84]/2 - 
       (13*t[85])/12 - (5*t[86])/3 + (29*t[87])/12 + (29*t[88])/24 - 
       (17*t[89])/24 - t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*((3*t[2])/16 - (5*t[3])/6 + (17*t[4])/48 - t[5]/24 - 
       (5*t[6])/12 + (9*t[7])/16 - (61*t[8])/48 + (37*t[9])/48 + t[10]/96 + 
       (59*t[11])/48 - (7*t[12])/96 + (77*t[13])/144 + (57*t[14])/64 + 
       (35*t[15])/72 - t[20]/12 - t[28]/6 - t[29]/4 + t[30]/3 - t[33]/12 - 
       t[35]/2 + t[44]/12 - (17*t[48])/24 + t[49]/96 + (13*t[50])/24 - 
       t[51]/192 - (13*t[52])/24 - t[53]/96 - (9*t[54])/16 + (15*t[60])/16 + 
       (43*t[61])/16 - (95*t[62])/96 + (107*t[63])/96 - (61*t[64])/96 - 
       (31*t[65])/36 - (49*t[66])/24 - t[73]/4 + t[74]/4 - (5*t[75])/4 + 
       t[79]/4 + t[81]/8 - t[82]/8 + (7*t[83])/6 - (7*t[85])/48 - 
       (5*t[86])/12 + (11*t[87])/48 + (11*t[88])/96 - (47*t[89])/96 - 
       t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      (-t[3]/6 + t[4]/12 - (13*t[5])/48 + (5*t[6])/32 + t[7]/16 + 
       (19*t[8])/48 + (7*t[9])/16 + (11*t[10])/48 + (7*t[11])/96 - 
       (5*t[12])/8 - (11*t[13])/144 + (479*t[14])/288 - (17*t[15])/96 + 
       t[25]/3 - t[26]/3 - t[46]/6 + (5*t[48])/32 + (11*t[49])/24 - 
       (17*t[50])/96 - (5*t[51])/24 + (17*t[52])/96 - (11*t[53])/24 + 
       (11*t[54])/32 + (15*t[60])/16 + (43*t[61])/16 - (95*t[62])/96 + 
       (107*t[63])/96 - (61*t[64])/96 - (31*t[65])/36 - (49*t[66])/24 - 
       t[73]/4 + t[74]/4 - (5*t[75])/4 + t[79]/4 + t[81]/8 - t[82]/8 + 
       (7*t[83])/6 - (7*t[85])/48 - (5*t[86])/12 + (11*t[87])/48 + 
       (11*t[88])/96 - (47*t[89])/96 - t[100]) + HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]^3*(t[1]/8 + (3*t[2])/32 + t[3]/6 + (59*t[4])/96 - 
       t[5]/16 + (49*t[6])/384 + (17*t[7])/64 + (91*t[8])/192 - 
       (23*t[9])/32 - (47*t[10])/32 + (377*t[11])/384 - (19*t[12])/48 + 
       (277*t[13])/576 + (131*t[14])/576 - (151*t[15])/576 - t[25]/6 + 
       t[26]/6 - t[28]/4 - t[31]/3 + t[35]/4 + t[36]/8 - t[37]/8 - t[39]/4 + 
       t[40]/4 - t[43]/24 - t[45]/4 - t[46]/6 + t[47]/2 - (13*t[48])/128 + 
       (59*t[49])/192 + (89*t[50])/384 - (35*t[51])/384 - (89*t[52])/384 - 
       (59*t[53])/192 - (157*t[54])/384 + t[59]/8 + (5*t[60])/64 + 
       (73*t[61])/64 - (979*t[62])/384 + (71*t[63])/384 + (1649*t[64])/384 - 
       (217*t[65])/96 - (29*t[66])/18 + t[69]/4 - t[70]/8 + t[71]/8 + 
       t[72]/4 - t[73]/16 - (7*t[74])/16 + (5*t[75])/16 - t[77]/4 - t[78]/4 - 
       (9*t[79])/8 + (7*t[80])/8 - (9*t[81])/32 + (7*t[82])/96 + 
       (17*t[83])/48 - (17*t[84])/48 + (19*t[85])/192 + (23*t[86])/8 + 
       (43*t[87])/64 + (43*t[88])/128 - (185*t[89])/384 - t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Nt[u, v, w]*(-t[3]/6 - t[5]/6 - 
       t[6]/12 + t[7]/3 + t[8]/3 - t[10]/3 + (5*t[11])/12 + t[12]/6 - 
       t[13]/18 + (11*t[14])/36 + t[15]/12 - (2*t[28])/3 - t[29]/3 + 
       t[30]/3 + t[44]/3 - t[48]/4 + t[50]/12 - t[52]/12 - t[54]/12 - 
       t[60]/6 + (7*t[61])/6 - (13*t[62])/12 + (3*t[63])/4 + (11*t[64])/12 - 
       (11*t[65])/18 - t[66]/6 - 2*t[75] + (5*t[83])/3 - t[84]/6 - t[85]/6 + 
       (4*t[86])/3 + t[87]/2 + t[88]/4 - (5*t[89])/12 - t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Nt[u, v, w]*(-t[4]/6 - t[5]/6 + t[7]/3 + 
       t[8]/3 + t[9]/6 - (5*t[10])/12 - t[12]/4 - (5*t[13])/18 + 
       (23*t[14])/72 - t[15]/18 + t[49]/12 - t[51]/8 - t[53]/12 + t[54]/6 - 
       t[60]/6 + (7*t[61])/6 - (13*t[62])/12 + (3*t[63])/4 + (11*t[64])/12 - 
       (11*t[65])/18 - t[66]/6 - 2*t[75] + (5*t[83])/3 - t[84]/6 - t[85]/6 + 
       (4*t[86])/3 + t[87]/2 + t[88]/4 - (5*t[89])/12 - t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[u, v, w]*
      (t[4]/3 - t[5]/6 + t[7]/3 + t[8]/3 + t[9]/6 - t[10]/6 + t[11] + t[12] + 
       (5*t[13])/9 - (17*t[14])/36 + t[15]/36 - t[49]/6 + t[51]/4 + t[53]/6 - 
       t[54]/3 + t[60]/3 - t[61]/3 - (5*t[62])/6 - (5*t[63])/2 + 
       (13*t[64])/6 + (5*t[65])/9 - (5*t[66])/3 - 2*t[69] + 4*t[75] - 
       (19*t[83])/3 + t[84]/3 + t[85]/3 + (4*t[86])/3 - t[87] - t[88]/2 - 
       t[89]/6 - t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - w]*(2*t[2] - t[3]/2 + t[4]/6 - (11*t[5])/12 - 
       (5*t[6])/6 + (11*t[7])/6 - (9*t[8])/2 + (53*t[9])/12 + (23*t[10])/12 + 
       t[11] + t[12]/6 + (7*t[13])/6 + (217*t[14])/72 - (7*t[15])/8 - 
       t[18]/3 - t[20]/3 - t[24] - (2*t[28])/3 - (2*t[30])/3 + t[31] - 
       t[33]/3 - (5*t[35])/3 + t[44]/3 - (7*t[48])/6 - t[49]/12 + t[50]/2 + 
       t[51]/24 - t[52]/2 + t[53]/12 - t[54]/3 + t[60]/2 + (7*t[61])/2 - 
       (55*t[62])/12 + (21*t[63])/4 + (7*t[64])/12 - (97*t[65])/18 - 
       (19*t[66])/2 - 2*t[69] + (4*t[70])/3 - (4*t[71])/3 + (2*t[79])/3 + 
       t[83] + t[84]/2 + (7*t[85])/6 + (2*t[86])/3 - (7*t[87])/6 - 
       (7*t[88])/12 - t[89]/12 - t[100]) + HPL[{1}, 1 - w]^2*M1[u, v, w]*
      ((11*t[2])/8 + t[3]/24 + (13*t[4])/24 + (29*t[5])/24 + t[6]/12 - 
       (7*t[7])/8 - (23*t[8])/24 - (11*t[9])/12 - (19*t[10])/48 + 
       (11*t[11])/12 - (29*t[12])/48 + (113*t[13])/144 + (103*t[14])/96 - 
       t[15]/12 + t[20]/6 + t[24]/2 + t[28]/3 - t[29]/2 + t[30]/3 - t[31]/2 + 
       t[33]/6 - 3*t[35] - t[44]/6 + (7*t[48])/24 + (5*t[49])/48 + t[50]/24 - 
       (5*t[51])/96 - t[52]/24 - (5*t[53])/48 - t[54]/4 - t[59]/2 + 
       t[60]/24 + (23*t[61])/8 - (7*t[62])/48 - (53*t[63])/48 + 
       (55*t[64])/48 + t[65]/3 - (31*t[66])/12 - t[69] + t[70]/2 - t[71]/2 - 
       t[73]/2 + t[74]/2 - t[75]/2 + t[79]/2 + t[81]/4 - t[82]/4 - t[83]/12 - 
       (11*t[85])/24 - (7*t[86])/6 + (7*t[87])/24 + (7*t[88])/48 + 
       (5*t[89])/48 - t[100]) + HPL[{1}, 1 - v]^2*M1[u, v, w]*
      (-t[3]/6 - (2*t[4])/3 - (11*t[5])/24 + (5*t[6])/16 - t[7]/8 + 
       (5*t[8])/24 + (5*t[9])/8 + (2*t[10])/3 + (35*t[11])/48 - (9*t[12])/8 + 
       (41*t[13])/72 + (25*t[14])/24 + t[15]/16 + t[25]/3 - t[26]/3 - t[37] + 
       t[46]/3 + t[48]/16 - (7*t[49])/24 - (13*t[50])/48 - (7*t[51])/48 + 
       (13*t[52])/48 + (7*t[53])/24 + (15*t[54])/16 - t[59]/2 + t[60]/24 + 
       (23*t[61])/8 - (7*t[62])/48 - (53*t[63])/48 + (55*t[64])/48 + 
       t[65]/3 - (31*t[66])/12 - t[69] + t[70]/2 - t[71]/2 - t[73]/2 + 
       t[74]/2 - t[75]/2 + t[79]/2 + t[81]/4 - t[82]/4 - t[83]/12 - 
       (11*t[85])/24 - (7*t[86])/6 + (7*t[87])/24 + (7*t[88])/48 + 
       (5*t[89])/48 - t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]^2*
      (t[1]/6 - t[2]/3 + (341*t[3])/96 - (13*t[4])/16 + (65*t[5])/96 - 
       (1363*t[6])/384 + (725*t[7])/96 - (99*t[8])/32 + (145*t[9])/192 - 
       (193*t[10])/96 + (1891*t[11])/384 + (179*t[12])/96 + (361*t[13])/864 - 
       (4603*t[14])/1152 - (3491*t[15])/3456 + t[27]/6 - t[28] + 
       (5*t[29])/12 - (3*t[30])/8 + (2*t[31])/3 + (7*t[32])/6 - (7*t[33])/6 - 
       t[34]/6 + t[35] + (3*t[36])/4 - t[37]/2 + t[38]/12 + t[39]/12 + 
       t[40]/8 + t[41]/12 - t[42]/12 + (7*t[43])/12 + (59*t[44])/48 + 
       (3*t[46])/8 + t[47]/6 - (211*t[48])/128 - (7*t[49])/96 + 
       (823*t[50])/384 + (41*t[51])/192 - (887*t[52])/384 + (13*t[53])/32 - 
       (401*t[54])/128 - t[59]/6 - (39*t[60])/64 - (35*t[61])/64 - 
       (2657*t[62])/384 + (625*t[63])/384 + (3671*t[64])/384 - 
       (1189*t[65])/576 + (73*t[66])/576 - t[69]/2 - (5*t[72])/6 + t[73]/2 - 
       t[74] - t[75]/2 + (7*t[76])/6 - (5*t[77])/6 - (17*t[78])/6 - t[79] + 
       (10*t[80])/3 - (35*t[81])/24 + t[82]/4 - (7*t[83])/4 - 
       (409*t[84])/192 + (31*t[85])/192 + (28*t[86])/3 + (283*t[87])/192 + 
       (283*t[88])/384 - (623*t[89])/384 + t[96]/2 + t[97]/3 + 4*t[98] - 
       4*t[99] - t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      ((-19*t[1])/6 + (175*t[2])/12 + 7*t[3] - (131*t[4])/12 - (91*t[5])/8 + 
       (15*t[6])/2 + (53*t[7])/2 + (5*t[8])/6 + (557*t[9])/24 - 
       (727*t[10])/24 + 11*t[11] + (197*t[12])/12 - (62*t[13])/27 - 
       (167*t[14])/48 + (365*t[15])/144 + t[20] - t[22] + 3*t[26] + 
       (2*t[27])/3 - (10*t[28])/3 - (5*t[29])/3 + (5*t[30])/3 - 
       (20*t[31])/3 + t[32] - t[33] + (5*t[34])/3 - 6*t[35] + t[36] + t[37] - 
       (10*t[38])/3 - 2*t[39] - 2*t[40] - (4*t[41])/3 + (4*t[42])/3 - 
       (4*t[43])/3 + (11*t[44])/3 + t[46]/2 - t[47] - (53*t[48])/12 - 
       (127*t[49])/8 + (283*t[50])/12 + (77*t[51])/16 - (191*t[52])/12 + 
       (253*t[53])/24 - (11*t[54])/6 + t[58] + t[59]/6 - 2*t[60] - 29*t[61] + 
       (509*t[62])/24 + (179*t[63])/24 - (379*t[64])/12 + (142*t[65])/9 + 
       (259*t[66])/18 + t[69] + (13*t[72])/3 - 6*t[73] - 2*t[74] - 5*t[75] - 
       (65*t[76])/3 - (17*t[77])/3 + (70*t[78])/3 + 10*t[79] - (19*t[80])/3 - 
       (19*t[81])/6 + (11*t[82])/2 + (13*t[83])/2 + (235*t[84])/12 + 
       (7*t[85])/6 + (80*t[86])/3 + (61*t[87])/6 + (61*t[88])/12 - 
       (227*t[89])/12 - 8*t[96] - (19*t[97])/3 - 124*t[98] + 126*t[99] - 
       t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]^2*
      (-t[1]/2 + (7*t[2])/6 - (5*t[3])/48 + (7*t[4])/12 + t[5]/4 + 
       (289*t[6])/96 + (13*t[7])/48 + (13*t[8])/48 + (173*t[9])/48 - 
       (71*t[10])/48 - (839*t[11])/96 + (57*t[12])/16 - (547*t[13])/144 + 
       (331*t[14])/144 + (3*t[15])/16 - t[16]/24 + t[19]/6 - t[21]/6 + 
       (2*t[22])/3 + t[23]/6 + (11*t[25])/12 - (5*t[26])/12 + t[27]/2 + 
       (2*t[32])/3 - (2*t[33])/3 + (8*t[34])/3 + t[35]/2 + t[36]/12 + 
       (2*t[37])/3 - (13*t[38])/12 + (2*t[39])/3 - (11*t[40])/6 - t[41]/4 + 
       t[42]/4 - t[43]/16 + t[44]/6 - (31*t[45])/24 - (3*t[46])/8 - 
       (3*t[47])/4 - (35*t[48])/96 + t[49]/4 + (7*t[50])/32 - (7*t[51])/32 + 
       (57*t[52])/32 - t[53]/4 + (97*t[54])/32 + (7*t[59])/8 + t[60]/16 - 
       (407*t[61])/48 + (633*t[62])/32 + (371*t[63])/32 - (487*t[64])/32 - 
       (11*t[65])/12 + (121*t[66])/8 + t[67]/24 + (5*t[69])/4 - (2*t[70])/3 + 
       (2*t[71])/3 - t[72]/2 + (7*t[73])/12 + t[74]/6 - (35*t[75])/12 + 
       (7*t[76])/3 + t[77]/6 - (11*t[78])/6 + (7*t[79])/4 + (3*t[80])/2 + 
       (19*t[81])/24 + (15*t[82])/8 + (7*t[83])/8 - (19*t[84])/24 + 
       (91*t[85])/48 - (167*t[86])/12 - (143*t[87])/48 - (143*t[88])/96 - 
       (359*t[89])/96 + t[97]/3 + 8*t[98] - 9*t[99] - (23*t[100])/24) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u]*
      ((47*t[3])/72 - (8*t[4])/9 + (59*t[5])/144 - (197*t[6])/192 + 
       (31*t[7])/48 + (49*t[8])/144 - (17*t[9])/16 - (149*t[10])/72 + 
       (341*t[11])/576 + (19*t[12])/32 - (745*t[13])/864 - (13*t[14])/12 - 
       (4*t[15])/9 - (11*t[25])/36 + (11*t[26])/36 - t[28]/2 - t[31]/2 + 
       t[35]/2 + (3*t[36])/4 + t[37]/12 - t[39]/2 + t[40]/2 - t[45]/2 + 
       t[46]/144 + t[47] - (53*t[48])/192 - t[49]/18 + (305*t[50])/576 - 
       (55*t[51])/576 - (305*t[52])/576 + t[53]/18 - (33*t[54])/64 + 
       (5*t[59])/24 - (377*t[60])/288 - (211*t[61])/96 - (1777*t[62])/576 + 
       (397*t[63])/576 + (2977*t[64])/576 - (2*t[65])/3 + (175*t[66])/48 - 
       t[69]/3 - t[70]/12 + t[71]/12 - t[73]/24 - t[74]/2 - (5*t[75])/8 - 
       t[77]/2 - t[78]/2 + t[79]/4 + t[80] - (29*t[81])/48 + (29*t[82])/48 + 
       (35*t[83])/36 - (2*t[84])/3 - (77*t[85])/288 + (223*t[86])/36 + 
       (529*t[87])/288 + (529*t[88])/576 - (769*t[89])/576 - (5*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
      (-t[2]/48 + (85*t[3])/48 - (79*t[4])/32 + (37*t[5])/96 - (37*t[6])/48 + 
       (23*t[7])/12 + (13*t[8])/16 - (9*t[9])/32 - (331*t[10])/192 - 
       (23*t[11])/32 + (95*t[12])/192 - (505*t[13])/288 - (1601*t[14])/1152 - 
       (223*t[15])/216 + t[20]/3 + t[24]/12 - (7*t[28])/12 + t[29]/8 - 
       t[30]/4 + (5*t[31])/12 + t[32]/2 - t[33]/6 + (7*t[35])/6 + t[36]/2 + 
       t[43]/4 - t[44]/12 - (17*t[48])/48 - (23*t[49])/64 + t[50]/16 + 
       (23*t[51])/128 - t[52]/16 + (23*t[53])/64 + (5*t[54])/32 + t[59]/8 - 
       (61*t[60])/96 - (205*t[61])/96 - (653*t[62])/192 - (359*t[63])/192 + 
       (1117*t[64])/192 - t[65]/12 + (355*t[66])/144 + t[72]/2 + 
       (3*t[73])/8 - (5*t[74])/12 - (5*t[75])/24 - t[77]/2 - t[78]/2 - 
       t[79]/6 + t[80] - (9*t[81])/16 + (9*t[82])/16 + (37*t[83])/24 - 
       t[84]/2 - (17*t[85])/96 + (43*t[86])/6 + (85*t[87])/96 + 
       (85*t[88])/192 - (245*t[89])/192 - (3*t[100])/4) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - u]*((31*t[2])/48 - (107*t[3])/48 + 
       (13*t[4])/32 - (85*t[5])/48 - (73*t[6])/48 + (149*t[7])/48 - 
       (3*t[8])/2 + (27*t[9])/8 - (19*t[10])/192 + (63*t[11])/32 + 
       (161*t[12])/192 + (127*t[13])/288 + (1711*t[14])/1152 + 
       (547*t[15])/1728 - (2*t[20])/3 - (5*t[24])/12 - (4*t[28])/3 - 
       (3*t[29])/8 + t[30]/4 + (5*t[31])/12 - (2*t[33])/3 + (5*t[35])/3 + 
       (2*t[44])/3 - (89*t[48])/48 + (5*t[49])/64 + (21*t[50])/16 - 
       (5*t[51])/128 - (21*t[52])/16 - (5*t[53])/64 - (47*t[54])/32 - 
       (7*t[59])/24 - (73*t[60])/96 + (227*t[61])/96 - (773*t[62])/192 + 
       (673*t[63])/192 + (253*t[64])/192 - t[65]/8 - (491*t[66])/144 - 
       (3*t[73])/8 - (5*t[74])/12 - (47*t[75])/24 - (5*t[79])/12 + 
       (3*t[81])/16 - (3*t[82])/16 + (79*t[83])/24 + (43*t[85])/96 + 
       (47*t[86])/12 + (97*t[87])/96 + (97*t[88])/192 - (173*t[89])/192 - 
       (3*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^4*
      ((13*t[3])/48 - t[4]/2 + (5*t[5])/96 - (63*t[6])/128 + (55*t[7])/96 + 
       (17*t[8])/32 - (31*t[9])/96 - (53*t[10])/48 + (175*t[11])/384 - 
       (21*t[12])/64 - (41*t[13])/192 - (19*t[14])/144 - (49*t[15])/144 - 
       t[25]/24 + t[26]/24 - t[28]/4 - t[31]/4 + t[35]/4 + (3*t[36])/8 - 
       t[37]/8 - t[39]/4 + t[40]/4 - t[45]/4 - (13*t[46])/96 + t[47]/2 - 
       (15*t[48])/128 + t[49]/8 + (67*t[50])/384 - (29*t[51])/384 - 
       (67*t[52])/384 - t[53]/8 - (43*t[54])/384 - t[59]/8 - 
       (155*t[60])/192 - (11*t[61])/192 - (321*t[62])/128 + (311*t[63])/384 + 
       (1267*t[64])/384 - (2*t[65])/9 + (55*t[66])/96 - t[69]/2 + t[70]/8 - 
       t[71]/8 - (3*t[73])/16 - t[74]/4 - (13*t[75])/16 - t[77]/4 - t[78]/4 + 
       t[79]/8 + t[80]/2 - (7*t[81])/32 + (7*t[82])/32 + (9*t[83])/8 - 
       t[84]/3 - (23*t[85])/192 + (31*t[86])/8 + (227*t[87])/192 + 
       (227*t[88])/384 - (307*t[89])/384 - (3*t[100])/4) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-3*t[4])/4 + t[5]/16 - t[7]/8 - t[8]/8 - t[9]/16 + t[10]/4 - 
       (5*t[11])/4 - (7*t[12])/16 - (7*t[13])/12 + (5*t[14])/12 - 
       (11*t[15])/96 + t[36]/2 - t[49]/8 - (3*t[51])/16 + t[53]/8 + t[54]/4 - 
       (11*t[60])/8 + (13*t[61])/8 - t[62]/4 + (11*t[63])/4 - (35*t[65])/72 + 
       (2*t[66])/3 - t[69]/2 - t[73]/2 - (3*t[75])/2 + t[79]/2 + 
       (5*t[83])/4 - t[84]/4 - t[85]/4 - t[86]/2 + (5*t[87])/4 + 
       (5*t[88])/8 - t[89]/4 - (3*t[100])/4) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*(t[1]/8 + (23*t[3])/24 + t[4]/32 + 
       (61*t[5])/192 - (9*t[6])/16 + (205*t[7])/96 - (31*t[8])/32 + 
       (17*t[9])/64 + (9*t[10])/64 + (11*t[11])/12 + (23*t[12])/48 + 
       (727*t[13])/864 - (1319*t[14])/1152 - (25*t[15])/128 - (17*t[28])/24 + 
       t[29]/12 + t[30]/6 - t[31]/12 + t[32]/4 - t[33]/4 - t[35]/6 - 
       t[36]/8 - t[37]/4 + t[43]/6 + (13*t[44])/24 + t[45]/12 + t[46]/4 - 
       t[47]/6 - (5*t[48])/12 - (29*t[49])/192 + (13*t[50])/24 + 
       (15*t[51])/128 - (13*t[52])/24 + (29*t[53])/192 - (29*t[54])/32 - 
       (7*t[60])/16 + (59*t[61])/24 - (57*t[62])/32 - (53*t[63])/96 + 
       (49*t[64])/24 - (29*t[65])/16 - (14*t[66])/9 - t[72]/4 + 
       (5*t[73])/24 - (3*t[75])/8 - t[76]/12 - t[77]/4 - t[78]/12 - 
       (13*t[79])/24 + (5*t[80])/6 - t[81]/4 + t[82]/12 + (17*t[83])/24 - 
       t[84]/3 - t[85]/24 + (41*t[86])/24 + (7*t[87])/6 + (7*t[88])/12 - 
       (23*t[89])/24 - t[98]/2 + t[99]/2 - (3*t[100])/4) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^3*((2*t[1])/3 + (7*t[2])/8 + 
       (19*t[3])/12 - (25*t[4])/96 + (23*t[5])/192 + (341*t[6])/192 - 
       (35*t[7])/3 + (309*t[8])/16 - (1499*t[9])/192 + (3821*t[10])/192 - 
       (817*t[11])/64 - (95*t[12])/96 - (13223*t[13])/864 + 
       (827*t[14])/1152 - (9365*t[15])/3456 - t[17]/6 - t[19] - t[20] + 
       (5*t[22])/2 - (2*t[24])/3 + (2*t[27])/3 + (29*t[29])/12 + 
       (9*t[30])/4 - t[31] - t[32]/12 - (5*t[33])/6 - (7*t[34])/6 + 
       (7*t[35])/6 + (5*t[36])/6 + (3*t[37])/2 + t[38]/3 + (13*t[39])/8 - 
       (15*t[40])/8 - t[41]/3 + t[42]/3 - (109*t[43])/96 - (239*t[44])/48 + 
       (7*t[45])/24 + t[46]/2 - (2*t[47])/3 + (1183*t[48])/192 + 
       (935*t[49])/192 - (1937*t[50])/192 - (465*t[51])/128 + 
       (667*t[52])/64 - (679*t[53])/192 + (77*t[54])/64 - t[55]/12 + 
       t[56]/4 + t[57]/2 - t[59]/2 - (857*t[60])/48 - (53*t[61])/4 - 
       (901*t[62])/96 - (227*t[63])/96 + (635*t[64])/48 - (8*t[65])/3 + 
       (769*t[66])/72 + t[68]/3 + t[69]/2 + t[72] + (5*t[73])/6 - 
       (29*t[75])/6 - (7*t[76])/12 + t[77] - (7*t[78])/4 + (26*t[79])/3 - 
       (137*t[80])/12 + (5*t[81])/12 + (25*t[82])/12 + (125*t[83])/12 - 
       (457*t[84])/48 - (187*t[85])/48 + (209*t[86])/24 + (97*t[87])/12 + 
       (73*t[88])/24 - (29*t[89])/32 + t[91]/72 - t[93]/6 + t[95] + 2*t[96] + 
       (4*t[97])/3 + 19*t[98] - 17*t[99] - (2*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[v, u, w]*(-t[4]/3 - t[5]/12 + 
       t[7]/6 + t[8]/6 + t[9]/12 + (2*t[10])/3 - t[11]/2 - (3*t[12])/4 - 
       (5*t[13])/9 - (7*t[14])/36 + (19*t[15])/72 + t[49]/6 - t[53]/6 + 
       t[54]/3 - (4*t[60])/3 + (4*t[61])/3 - t[62]/6 + t[63]/2 + 
       (5*t[64])/6 + (7*t[65])/9 + (2*t[66])/3 - t[69] - t[83]/6 - t[84]/3 - 
       t[85]/3 + (2*t[86])/3 + t[87] + t[88]/2 - t[89]/3 - t[100]/2) + 
     HPL[{1}, 1 - w]^2*M1[v, u, w]*((3*t[2])/4 - (11*t[3])/12 + t[4]/12 - 
       (23*t[5])/24 - t[6]/3 + (5*t[7])/4 - (11*t[8])/12 + (49*t[9])/24 + 
       (11*t[10])/24 + (7*t[11])/12 + (5*t[12])/12 + (5*t[13])/18 + 
       (47*t[14])/48 + t[15]/16 - t[20]/6 - t[24]/2 - t[28]/3 - t[30]/3 + 
       t[31]/2 - t[33]/6 + t[35] + t[44]/6 - (2*t[48])/3 - t[49]/24 + 
       t[50]/3 + t[51]/48 - t[52]/3 + t[53]/24 - t[54]/4 - t[59]/4 + 
       (7*t[60])/12 + (5*t[61])/4 - (31*t[62])/24 + (31*t[63])/24 - 
       (17*t[64])/24 - (7*t[65])/12 - (23*t[66])/12 + (5*t[83])/6 + t[84]/4 + 
       (7*t[85])/12 + (2*t[86])/3 - (5*t[87])/12 - (5*t[88])/24 - 
       (7*t[89])/24 - t[100]/2) + HPL[{1}, 1 - w]^2*M1[v, w, u]*
      ((3*t[2])/8 - (5*t[3])/12 + (11*t[4])/24 + (25*t[5])/24 - 
       (11*t[6])/24 - t[7]/8 - (43*t[8])/24 - t[9]/3 - (17*t[10])/48 + 
       (13*t[11])/12 - (31*t[12])/48 + (19*t[13])/36 + (37*t[14])/96 + 
       (37*t[15])/144 - t[20]/6 + t[24]/2 - t[28]/3 - t[29]/2 + t[30]/6 - 
       t[31]/2 - t[33]/6 - 2*t[35] + t[44]/6 - t[48]/24 + (7*t[49])/48 + 
       (11*t[50])/24 - (7*t[51])/96 - (11*t[52])/24 - (7*t[53])/48 - 
       (3*t[54])/4 - (19*t[60])/24 + (15*t[61])/8 - (35*t[62])/48 - 
       t[63]/48 + (59*t[64])/48 - (9*t[66])/4 - t[73]/2 + t[74]/2 - t[75]/2 + 
       t[79]/2 + t[81]/4 - t[82]/4 + (5*t[83])/6 - (7*t[85])/24 - 
       (5*t[86])/6 + (23*t[87])/24 + (35*t[88])/48 - (11*t[89])/48 - 
       t[100]/2) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-17*t[3])/24 - t[5]/12 - t[6]/24 + t[7]/6 + t[8]/6 - t[10]/6 + 
       (5*t[11])/24 + t[12]/12 - t[13]/36 + (11*t[14])/72 + (11*t[15])/144 - 
       t[28]/3 - t[29]/6 + t[30]/6 + t[31]/2 + t[35] + t[44]/6 - 
       (5*t[48])/8 + t[50]/24 - t[52]/24 - t[54]/24 - (17*t[60])/24 + 
       (29*t[61])/24 - (13*t[62])/24 + (3*t[63])/8 + (11*t[64])/24 + 
       t[65]/24 - t[66]/12 + t[72]/2 - t[75] + (11*t[83])/6 - t[84]/12 - 
       t[85]/12 + (2*t[86])/3 + t[87]/4 + t[88]/8 - (5*t[89])/24 - 
       t[100]/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^4*
      ((-3*t[2])/32 + (31*t[3])/32 - (79*t[4])/64 - (25*t[5])/64 - 
       (23*t[6])/32 + (7*t[7])/4 + (9*t[8])/32 + (47*t[9])/64 - 
       (105*t[10])/128 - (7*t[11])/64 + (69*t[12])/128 - (521*t[13])/576 - 
       (121*t[14])/256 - (5*t[15])/9 - t[24]/8 - (5*t[28])/8 + t[29]/16 - 
       t[30]/8 + (3*t[31])/8 + t[32]/4 - t[33]/4 + (5*t[35])/4 + t[36]/4 + 
       t[43]/8 + t[44]/8 - (19*t[48])/32 - (23*t[49])/128 + (9*t[50])/32 + 
       (23*t[51])/256 - (9*t[52])/32 + (23*t[53])/128 - (11*t[54])/64 - 
       (31*t[60])/64 - (63*t[61])/64 - (335*t[62])/128 - (13*t[63])/128 + 
       (415*t[64])/128 - t[65]/24 + (27*t[66])/32 + t[72]/4 + (3*t[73])/16 - 
       (3*t[74])/8 - (7*t[75])/16 - t[77]/4 - t[78]/4 - t[79]/4 + t[80]/2 - 
       (9*t[81])/32 + (9*t[82])/32 + (23*t[83])/16 - t[84]/4 + (5*t[85])/64 + 
       (19*t[86])/4 + (39*t[87])/64 + (39*t[88])/128 - (103*t[89])/128 - 
       (3*t[100])/8) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (-t[3]/8 - (3*t[4])/8 + t[5]/32 - t[7]/16 - t[8]/16 - t[9]/32 + 
       t[10]/8 - (5*t[11])/16 - (7*t[12])/32 - (7*t[13])/24 + (5*t[14])/16 + 
       t[15]/192 + t[36]/4 - t[49]/16 - (3*t[51])/32 + t[53]/16 + t[54]/8 - 
       t[60]/2 + (5*t[61])/8 - t[62]/8 + (11*t[63])/8 - (11*t[65])/24 + 
       t[66]/3 - t[69]/4 - t[73]/4 - (3*t[75])/4 + t[79]/4 + (5*t[83])/8 - 
       t[84]/8 - t[85]/8 - t[86]/4 + (5*t[87])/8 + (5*t[88])/16 - t[89]/8 - 
       (3*t[100])/8) + HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - w]*
      ((13*t[2])/48 - (5*t[3])/6 + (11*t[4])/48 - (5*t[5])/48 - 
       (19*t[6])/24 + (15*t[7])/16 - (79*t[8])/48 + (23*t[9])/24 + 
       (7*t[10])/96 + (47*t[11])/48 - (7*t[12])/96 + (29*t[13])/144 + 
       (89*t[14])/192 + (55*t[15])/288 - t[20]/3 - (2*t[28])/3 - t[29]/4 + 
       t[30]/3 - t[33]/3 - t[35]/2 + t[44]/3 - (5*t[48])/6 + (7*t[49])/96 + 
       (2*t[50])/3 - (7*t[51])/192 - (2*t[52])/3 - (7*t[53])/96 - 
       (13*t[54])/16 + t[59]/120 - (37*t[60])/48 + (25*t[61])/16 - 
       (137*t[62])/96 + (125*t[63])/96 + (29*t[64])/96 - (11*t[65])/24 - 
       (17*t[66])/12 - t[73]/4 + t[74]/4 - (5*t[75])/4 + t[79]/4 + t[81]/8 - 
       t[82]/8 + (5*t[83])/3 - t[84]/8 - t[85]/48 + (7*t[86])/12 + 
       (41*t[87])/48 + (41*t[88])/96 - (41*t[89])/96 - t[100]/4) + 
     HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - v]*(-t[3]/24 + t[4]/12 - (5*t[5])/24 - 
       t[6]/32 + (3*t[7])/16 + (13*t[8])/48 + t[9]/4 + (23*t[10])/48 - 
       (23*t[11])/96 - (9*t[12])/16 - (25*t[13])/72 + (97*t[14])/96 - 
       (7*t[15])/24 + t[25]/12 - t[26]/12 - t[46]/6 - t[48]/32 + t[49]/3 - 
       (11*t[50])/96 - (5*t[51])/24 + (11*t[52])/96 - t[53]/3 + 
       (9*t[54])/32 + t[59]/120 - (37*t[60])/48 + (25*t[61])/16 - 
       (137*t[62])/96 + (125*t[63])/96 + (29*t[64])/96 - (11*t[65])/24 - 
       (17*t[66])/12 - t[73]/4 + t[74]/4 - (5*t[75])/4 + t[79]/4 + t[81]/8 - 
       t[82]/8 + (5*t[83])/3 - t[84]/8 - t[85]/48 + (7*t[86])/12 + 
       (41*t[87])/48 + (41*t[88])/96 - (41*t[89])/96 - t[100]/4) + 
     HPL[{1}, 1 - w]^2*M1[w, v, u]*(-t[3]/3 + t[4]/24 - (41*t[5])/48 - 
       (13*t[6])/24 + (13*t[7])/8 - (53*t[8])/24 + (133*t[9])/48 + 
       (23*t[10])/48 + (13*t[11])/24 + (11*t[12])/24 - (7*t[13])/144 + 
       (67*t[14])/96 - (107*t[15])/288 - t[20]/3 - t[24]/2 - (2*t[28])/3 - 
       t[30]/6 + t[31]/2 - t[33]/3 + t[35] + (5*t[44])/6 - (5*t[48])/6 - 
       t[49]/48 + (5*t[50])/12 + t[51]/96 - (5*t[52])/12 + t[53]/48 - 
       (3*t[54])/8 + (25*t[60])/24 + (3*t[61])/8 - (79*t[62])/48 - 
       (5*t[63])/48 - (71*t[64])/48 - (41*t[65])/24 - (19*t[66])/24 + 
       t[83]/6 + t[84]/8 + (13*t[85])/24 + (4*t[86])/3 - (11*t[87])/24 - 
       (11*t[88])/48 - (13*t[89])/48 - t[100]/4) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (-t[3]/24 - t[5]/24 - t[6]/48 + t[7]/12 + t[8]/12 - t[10]/12 - 
       t[11]/48 + t[12]/24 - t[13]/72 + (5*t[14])/144 - t[15]/144 - t[28]/6 - 
       t[29]/12 + t[30]/12 + t[31]/4 + t[35]/2 + t[44]/12 - (5*t[48])/16 + 
       t[50]/48 - t[52]/48 - t[54]/48 - t[60]/6 + (5*t[61])/12 - 
       (13*t[62])/48 + (3*t[63])/16 + (11*t[64])/48 - (7*t[65])/36 - 
       t[66]/24 + t[72]/4 - t[75]/2 + (11*t[83])/12 - t[84]/24 - t[85]/24 + 
       t[86]/3 + t[87]/8 + t[88]/16 - (5*t[89])/48 - t[100]/4) + 
     HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - w]*(-t[3]/24 - t[4]/6 - t[5]/48 + 
       t[6]/16 + (3*t[7])/32 + (17*t[8])/96 + t[9]/16 - (41*t[10])/96 + 
       (17*t[11])/48 - (3*t[12])/8 + (11*t[13])/18 - (79*t[14])/192 + 
       (11*t[15])/96 + t[25]/12 - t[26]/12 - (3*t[37])/20 + t[46]/48 + 
       t[48]/16 - (5*t[49])/48 - t[50]/48 + (23*t[51])/192 + t[52]/48 + 
       (5*t[53])/48 - t[54]/16 - (29*t[59])/120 + (2*t[60])/3 + t[61]/4 + 
       t[62]/6 - (2*t[63])/3 + t[64]/3 + t[65]/2 - t[66]/2 - t[69]/2 + 
       t[70]/4 - t[71]/4 - t[74]/8 + t[75]/2 - t[79]/8 - (17*t[83])/24 + 
       t[84]/8 + t[85]/24 + (5*t[86])/24 - (11*t[87])/24 - (11*t[88])/48 + 
       (11*t[89])/48 - t[100]/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^4*((13*t[2])/8 - (17*t[3])/24 + (11*t[4])/16 + 
       (17*t[5])/192 - t[6]/4 - t[7]/96 - (221*t[8])/96 + (83*t[9])/192 + 
       t[10]/3 + (41*t[11])/96 + (13*t[12])/192 + (25*t[13])/108 + 
       (73*t[14])/48 + (1949*t[15])/1152 - t[20]/12 - (11*t[28])/24 - 
       t[29]/12 + (5*t[30])/12 - t[31]/4 - t[32]/4 + t[33]/6 - 
       (23*t[35])/12 - t[36]/4 - t[37]/4 - t[41]/8 + t[42]/8 - (5*t[43])/24 + 
       (5*t[44])/8 - t[47]/4 - (13*t[48])/12 - t[49]/32 + (9*t[50])/8 + 
       t[51]/64 - (9*t[52])/8 + t[53]/32 - (31*t[54])/48 - (3*t[60])/16 + 
       (17*t[61])/6 + (83*t[62])/48 + (121*t[63])/48 - (463*t[64])/48 - 
       (107*t[65])/48 + (73*t[66])/144 - t[72]/4 - (5*t[73])/24 + 
       (2*t[74])/3 - (35*t[75])/24 - t[76]/6 + t[77]/12 + t[78]/4 + t[79]/2 - 
       (7*t[80])/12 - (5*t[81])/24 + (5*t[82])/24 + (47*t[83])/24 - t[84]/6 - 
       (9*t[85])/16 - (13*t[86])/3 + (29*t[87])/48 + (29*t[88])/96 - 
       (31*t[89])/16 - t[98] + t[99] - t[100]/4) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      (t[1]/6 - (95*t[2])/48 + (59*t[3])/96 - (23*t[4])/16 - 
       (1343*t[5])/192 - (197*t[6])/64 + (323*t[7])/48 - (167*t[8])/24 + 
       (1607*t[9])/192 - (73*t[10])/48 + (419*t[11])/192 + (135*t[12])/64 - 
       (335*t[13])/288 + (41*t[14])/144 - (6625*t[15])/1152 + t[18]/18 + 
       (2*t[19])/3 + t[20]/12 - (2*t[22])/3 + t[25]/3 + t[26]/6 - 
       (3*t[28])/2 - (3*t[29])/4 - t[30]/4 - t[31]/6 + (11*t[32])/12 - 
       (5*t[33])/4 - t[34]/6 + (11*t[35])/6 + t[36]/4 - t[37]/2 - t[38]/3 + 
       (5*t[39])/6 - (7*t[40])/6 + (7*t[41])/12 - (7*t[42])/12 + 
       (19*t[43])/48 + (5*t[44])/4 - t[45]/24 + t[46]/8 + (7*t[47])/6 - 
       (475*t[48])/192 - (3*t[49])/2 + (773*t[50])/192 + (83*t[51])/96 - 
       (613*t[52])/192 + (3*t[53])/2 - (469*t[54])/192 + t[58]/6 + 
       (19*t[59])/24 + (37*t[60])/32 + (671*t[61])/96 - (963*t[62])/64 + 
       (387*t[63])/64 + (2125*t[64])/192 + (157*t[65])/48 - (187*t[66])/36 - 
       t[69]/4 + t[70]/4 - t[71]/4 + t[72]/4 - (37*t[73])/24 - t[74]/24 + 
       (3*t[75])/8 - (7*t[76])/6 + t[77]/24 + t[78]/2 - (5*t[79])/24 - 
       (7*t[80])/12 + (25*t[81])/48 - (17*t[82])/16 + (71*t[83])/24 + 
       (95*t[84])/48 - (59*t[85])/96 + (89*t[86])/8 - (77*t[87])/96 - 
       (77*t[88])/192 - (373*t[89])/192 + t[97]/6 - (8*t[98])/3 + 
       (7*t[99])/3 - t[100]/4) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^3*
      ((-4*t[1])/3 + (55*t[2])/24 + (16*t[3])/3 - (93*t[4])/8 + 
       (13*t[5])/12 - (611*t[6])/192 - (377*t[7])/48 - (133*t[8])/16 - 
       (649*t[9])/96 - (197*t[10])/48 - (3301*t[11])/192 - (7*t[12])/6 - 
       (893*t[13])/216 - (5519*t[14])/576 - (7039*t[15])/1728 - (4*t[27])/3 - 
       t[28]/2 - (29*t[29])/24 - (3*t[30])/4 - t[31]/3 - (4*t[32])/3 + 
       (4*t[33])/3 + (4*t[34])/3 + t[35] - t[36] - t[37] - (2*t[38])/3 - 
       (55*t[39])/24 + t[40] - (2*t[41])/3 + (2*t[42])/3 - (2*t[43])/3 + 
       (115*t[44])/24 - (4*t[47])/3 - (115*t[48])/64 - (89*t[49])/48 + 
       (287*t[50])/192 + (97*t[51])/96 - (31*t[52])/192 - (13*t[53])/16 + 
       (167*t[54])/64 - (7*t[59])/6 - (183*t[60])/32 - (1319*t[61])/32 + 
       (1763*t[62])/192 + (509*t[63])/192 + (2167*t[64])/192 + 
       (3331*t[65])/288 + (3905*t[66])/288 - t[69] + (5*t[72])/3 - 
       (3*t[73])/2 - (7*t[75])/2 - (47*t[76])/6 - (11*t[77])/6 + 
       (35*t[78])/3 + 4*t[79] - (2*t[80])/3 - (5*t[81])/6 + (15*t[82])/4 + 
       9*t[83] + (739*t[84])/96 + (743*t[85])/96 + (55*t[86])/3 + 
       (455*t[87])/96 + (455*t[88])/192 - (1255*t[89])/192 - 4*t[96] - 
       (8*t[97])/3 - 35*t[98] + 33*t[99] - t[100]/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
      ((15*t[2])/8 + (787*t[3])/288 + (613*t[4])/72 + (425*t[5])/288 + 
       (49*t[6])/96 - (73*t[7])/32 - (809*t[8])/288 - (185*t[9])/96 + 
       (509*t[10])/288 - (277*t[11])/288 + (5*t[12])/32 - (697*t[13])/432 + 
       (961*t[14])/576 - (23*t[15])/32 - t[20]/2 + t[22]/2 - (5*t[25])/18 + 
       (5*t[26])/18 + t[28]/2 + t[29]/8 + (3*t[30])/4 - t[31]/4 - 
       (3*t[32])/8 + t[33]/4 - t[34]/2 - t[35]/2 - (7*t[36])/4 + t[37]/6 - 
       t[41]/8 + t[42]/8 - (3*t[43])/8 + (5*t[44])/16 - (301*t[46])/144 - 
       t[47]/4 + (43*t[48])/96 + (337*t[49])/72 + (29*t[50])/288 - 
       (257*t[51])/576 - (29*t[52])/288 - (337*t[53])/72 - (305*t[54])/96 + 
       (2*t[59])/3 - (265*t[60])/72 - (185*t[61])/48 - (29*t[62])/144 + 
       (701*t[63])/144 - (6995*t[64])/288 - (199*t[65])/144 + (35*t[66])/48 + 
       (10*t[69])/3 - (17*t[70])/12 + (17*t[71])/12 + t[72]/2 + 
       (23*t[73])/12 - (11*t[74])/8 + t[75] + t[77]/4 - (21*t[79])/8 - 
       (3*t[80])/4 - (5*t[81])/24 + (5*t[82])/24 - (133*t[83])/72 - t[84] - 
       (149*t[85])/144 - (113*t[86])/72 - (671*t[87])/144 - (815*t[88])/288 - 
       (221*t[89])/36 + t[95]/2 + 2*t[99] - t[100]/6) + 
     HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]^2*(t[1]/15 - t[3]/48 - t[4]/12 - 
       t[5]/96 + t[6]/32 + (3*t[7])/64 + (17*t[8])/192 + t[9]/32 - 
       (41*t[10])/192 + (11*t[11])/96 - (3*t[12])/16 + (17*t[13])/72 - 
       (21*t[14])/128 + (11*t[15])/192 + t[25]/24 - t[26]/24 - t[37]/8 + 
       t[46]/96 + t[48]/32 - (5*t[49])/96 - t[50]/96 + (23*t[51])/384 + 
       t[52]/96 + (5*t[53])/96 - t[54]/32 - t[59]/8 + (13*t[60])/48 + 
       t[61]/16 + t[62]/24 - t[63]/3 + (7*t[64])/24 + (11*t[65])/48 - 
       (13*t[66])/72 - t[69]/4 + t[70]/8 - t[71]/8 - t[74]/16 + t[75]/4 - 
       t[79]/16 - (17*t[83])/48 + t[84]/16 + t[85]/48 + (5*t[86])/48 - 
       (11*t[87])/48 - (11*t[88])/96 + (11*t[89])/96 - t[100]/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2*
      (-t[3]/6 - (7*t[4])/12 + (115*t[5])/192 - (11*t[6])/96 - (23*t[7])/32 - 
       (47*t[8])/32 - (107*t[9])/192 + (173*t[10])/96 - (61*t[11])/48 - 
       (31*t[12])/192 - (157*t[13])/216 + (65*t[14])/64 + (499*t[15])/1152 + 
       t[25]/12 - t[26]/12 + t[28]/12 + t[31]/4 - t[35]/12 - t[36]/24 + 
       t[39]/12 - t[40]/12 + (5*t[45])/12 + t[46]/6 - (5*t[47])/6 + 
       t[48]/96 - t[49]/12 + (11*t[50])/32 - (7*t[51])/32 - (11*t[52])/32 + 
       t[53]/12 - (7*t[54])/32 + (7*t[60])/48 + (21*t[61])/8 + 
       (19*t[62])/12 + (4*t[63])/3 - (113*t[64])/12 - (283*t[65])/144 + 
       (19*t[66])/144 + t[69]/4 + t[73]/24 + (2*t[74])/3 - (29*t[75])/24 - 
       t[76]/6 + t[77]/12 + t[78]/4 + t[79]/4 - (7*t[80])/12 - (5*t[81])/24 + 
       (5*t[82])/24 + (9*t[83])/4 - t[84]/12 - (23*t[85])/48 - (15*t[86])/4 + 
       (5*t[87])/48 + (5*t[88])/96 - (23*t[89])/12 - t[98] + t[99] - 
       t[100]/8) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^3*
      (-t[4]/24 + t[5]/48 - t[7]/24 - t[8]/24 - t[9]/48 + t[10]/48 - 
       t[11]/8 - t[12]/8 - (5*t[13])/72 + (17*t[14])/288 - t[15]/288 + 
       t[49]/48 - t[51]/32 - t[53]/48 + t[54]/24 - t[60]/24 + t[61]/24 + 
       (5*t[62])/48 + (5*t[63])/16 - (13*t[64])/48 - (5*t[65])/72 + 
       (5*t[66])/24 + t[69]/4 - t[75]/2 + (19*t[83])/24 - t[84]/24 - 
       t[85]/24 - t[86]/6 + t[87]/8 + t[88]/16 + t[89]/48 + t[100]/8) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^5*((-35*t[2])/192 + (5*t[3])/48 - 
       (11*t[4])/96 - (31*t[5])/96 + (7*t[6])/48 + (5*t[7])/64 + 
       (113*t[8])/192 + (31*t[9])/192 + t[10]/24 - (29*t[11])/96 + 
       (5*t[12])/24 - (67*t[13])/576 - (25*t[14])/384 - (67*t[15])/1152 + 
       t[20]/24 - t[24]/8 + t[28]/12 + t[29]/8 - t[30]/6 + t[31]/8 + 
       t[33]/24 + (5*t[35])/8 - t[44]/24 + (5*t[48])/48 - (7*t[49])/192 - 
       (7*t[50])/48 + (7*t[51])/384 + (7*t[52])/48 + (7*t[53])/192 + 
       (7*t[54])/32 + (25*t[60])/96 - (21*t[61])/32 + (5*t[62])/64 - 
       (11*t[63])/192 + t[64]/192 + (7*t[65])/48 + (67*t[66])/144 + t[73]/8 - 
       (3*t[74])/16 + (3*t[75])/8 - (3*t[79])/16 - t[81]/16 + t[82]/16 - 
       t[83]/3 + t[84]/16 + (13*t[85])/96 + (19*t[86])/48 - (29*t[87])/96 - 
       (29*t[88])/192 + (17*t[89])/192 + t[100]/8) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      (-t[4]/12 + t[5]/24 - t[7]/12 - t[8]/12 - t[9]/24 + t[10]/24 - 
       t[11]/4 - t[12]/4 - (5*t[13])/36 + (17*t[14])/144 - t[15]/144 + 
       t[49]/24 - t[51]/16 - t[53]/24 + t[54]/12 - t[60]/12 + t[61]/12 + 
       (5*t[62])/24 + (5*t[63])/8 - (13*t[64])/24 - (5*t[65])/36 + 
       (5*t[66])/12 + t[69]/2 - t[75] + (19*t[83])/12 - t[84]/12 - t[85]/12 - 
       t[86]/3 + t[87]/4 + t[88]/8 + t[89]/24 + t[100]/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^5*(t[3]/24 + t[4]/24 + (11*t[5])/96 - 
       t[6]/64 - (9*t[7])/64 - (43*t[8])/192 - (5*t[9])/32 - (5*t[10])/192 + 
       t[11]/192 + (15*t[12])/32 - (19*t[13])/144 - (131*t[14])/384 + 
       (17*t[15])/192 - t[25]/12 + t[26]/12 + t[37]/8 + (7*t[46])/96 - 
       t[48]/64 - (11*t[49])/96 + (13*t[50])/192 + (17*t[51])/384 - 
       (13*t[52])/192 + (11*t[53])/96 - (7*t[54])/64 + t[59]/8 + 
       (11*t[60])/96 - (27*t[61])/32 + (43*t[62])/64 - (61*t[63])/192 - 
       (85*t[64])/192 + (23*t[66])/24 + t[69]/4 - t[70]/8 + t[71]/8 + 
       t[73]/8 - t[74]/16 + (3*t[75])/8 - t[79]/16 - t[81]/16 + t[82]/16 - 
       (23*t[83])/48 - t[85]/96 - (19*t[86])/48 - (19*t[87])/96 - 
       (19*t[88])/192 + (19*t[89])/192 + t[100]/4) + 
     HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - v]*((-9*t[2])/32 + t[3]/12 - 
       (11*t[4])/48 - (31*t[5])/48 + (7*t[6])/24 + (5*t[7])/32 + 
       (113*t[8])/96 + (31*t[9])/96 + t[10]/12 - (29*t[11])/48 + 
       (5*t[12])/12 - (67*t[13])/288 - (25*t[14])/192 - (523*t[15])/2880 + 
       t[20]/12 - t[24]/4 + t[28]/6 + t[29]/4 - t[30]/3 + t[31]/4 + 
       t[33]/12 + (5*t[35])/4 - t[44]/12 + (5*t[48])/24 - (7*t[49])/96 - 
       (7*t[50])/24 + (7*t[51])/192 + (7*t[52])/24 + (7*t[53])/96 + 
       (7*t[54])/16 + t[59]/120 + (31*t[60])/48 - (19*t[61])/16 + 
       (23*t[62])/96 - (11*t[63])/96 - (23*t[64])/96 + t[65]/3 + 
       (19*t[66])/24 + t[73]/4 - (3*t[74])/8 + (3*t[75])/4 - (3*t[79])/8 - 
       t[81]/8 + t[82]/8 - (2*t[83])/3 + t[84]/8 + (13*t[85])/48 + 
       (19*t[86])/24 - (29*t[87])/48 - (29*t[88])/96 + (17*t[89])/96 + 
       t[100]/4) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((5*t[1])/24 + (47*t[2])/32 + (47*t[3])/96 - (181*t[4])/96 + 
       (213*t[5])/64 + (11*t[6])/6 + (37*t[7])/48 + (14*t[8])/3 - 
       (207*t[9])/64 + (271*t[10])/64 + (5*t[11])/96 - (5*t[12])/3 - 
       (751*t[13])/192 + (797*t[14])/128 + (1865*t[15])/1152 + t[20]/6 - 
       t[24]/4 - t[25]/12 + t[26]/12 - t[27]/4 + t[28]/3 + (3*t[29])/8 - 
       t[30]/6 - (2*t[31])/3 - t[32]/2 + (2*t[33])/3 - t[35]/3 - 
       (3*t[36])/4 - t[37]/12 - (3*t[39])/4 + (3*t[40])/4 - t[41]/8 + 
       t[42]/8 + (41*t[43])/48 - (5*t[44])/12 + t[46]/24 - (3*t[47])/4 + 
       (107*t[48])/96 + (371*t[49])/192 - (53*t[50])/96 - (101*t[51])/128 + 
       (53*t[52])/96 - (371*t[53])/192 + (27*t[54])/16 + (25*t[59])/24 + 
       (109*t[60])/96 + (533*t[61])/96 - (2875*t[62])/192 + 
       (1267*t[63])/192 + (2015*t[64])/192 + (149*t[65])/48 - 
       (281*t[66])/72 + t[69]/4 + t[72]/4 - (31*t[73])/24 - (7*t[74])/24 + 
       (5*t[75])/8 - (7*t[76])/6 + t[77]/24 + t[78]/2 - (11*t[79])/24 - 
       (7*t[80])/12 + (19*t[81])/48 - (15*t[82])/16 + 3*t[83] + 
       (95*t[84])/48 - (37*t[85])/96 + (281*t[86])/24 - (91*t[87])/96 - 
       (91*t[88])/192 - (383*t[89])/192 + t[97]/6 - (8*t[98])/3 + 
       (7*t[99])/3 + t[100]/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^3*((-5*t[2])/16 + (19*t[3])/48 - (23*t[4])/16 - 
       t[5]/24 - (79*t[6])/48 - (5*t[7])/6 - (21*t[8])/8 - t[9]/16 + 
       (241*t[10])/96 - (7*t[11])/3 - (7*t[12])/96 - (217*t[13])/108 + 
       (83*t[14])/192 - t[15]/72 - t[28]/8 - (5*t[29])/12 - t[30]/12 + 
       t[31]/12 - t[32]/12 + t[33]/12 - (7*t[36])/24 + t[39]/4 - t[40]/4 - 
       t[43]/24 + (5*t[44])/24 - t[45]/12 - t[46]/12 + t[47]/6 - 
       (3*t[48])/4 - t[49]/96 + (5*t[50])/8 + (23*t[51])/192 - (5*t[52])/8 + 
       t[53]/96 - t[54]/48 - (19*t[60])/6 - (8*t[61])/3 - (59*t[62])/48 + 
       (31*t[63])/48 + (9*t[64])/4 + (41*t[65])/36 + (125*t[66])/36 - 
       t[69]/4 + t[72]/4 - t[73]/2 + t[74]/2 - (5*t[75])/6 + t[76]/2 + 
       t[77]/2 - t[78]/3 + (19*t[79])/6 + t[80]/3 + (5*t[81])/12 - t[82]/12 + 
       (85*t[83])/24 + t[84]/24 - t[85]/6 + t[86]/3 + (13*t[87])/12 + 
       (13*t[88])/24 - (9*t[89])/8 + 3*t[98] - 4*t[99] + (3*t[100])/8) + 
     HPL[{1}, 1 - v]^2*M1[w, v, u]*(t[3]/12 + (7*t[4])/12 + t[5]/24 - 
       t[6]/8 - t[8]/6 - t[9]/8 + (2*t[10])/3 - (5*t[11])/24 + (7*t[12])/8 - 
       (49*t[13])/72 + t[14]/8 - (3*t[15])/16 - t[25]/6 + t[26]/6 + t[37]/2 - 
       t[46]/6 - t[48]/8 + t[49]/12 + t[50]/24 + t[51]/24 - t[52]/24 - 
       t[53]/12 - t[54]/8 + t[59]/2 - (5*t[60])/6 - t[61] - (7*t[62])/12 + 
       (13*t[63])/12 + t[64]/12 - t[65]/3 + t[66]/3 + t[69] - t[70]/2 + 
       t[71]/2 + (11*t[83])/12 + t[85]/6 + t[86]/3 + (2*t[87])/3 + 
       (7*t[88])/12 - t[89]/3 + t[100]/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      M1[u, v, w]*((4*t[4])/3 - (7*t[5])/24 + (7*t[7])/12 + (7*t[8])/12 + 
       (7*t[9])/24 - (23*t[10])/12 + (5*t[11])/4 + (5*t[12])/8 + 
       (8*t[13])/9 - (67*t[14])/72 + (25*t[15])/144 - t[36] + t[49]/3 + 
       t[51]/4 - t[53]/3 - t[54]/3 + (4*t[60])/3 - (5*t[61])/6 - 
       (7*t[62])/12 - (19*t[63])/4 + (11*t[64])/12 + (19*t[65])/18 - 
       (3*t[66])/2 + t[69] + t[72] + t[73] + t[75] - t[79] + (7*t[83])/6 + 
       t[84]/3 + t[85]/3 + (7*t[86])/3 - 2*t[87] - t[88] + t[89]/12 + 
       t[100]/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[u, v, w]*
      (t[3]/3 - (7*t[5])/24 + (2*t[6])/3 - (5*t[7])/12 + (19*t[8])/12 + 
       (9*t[9])/8 - (7*t[10])/12 - t[11]/12 + (7*t[12])/24 + t[13]/9 + 
       (7*t[14])/72 - (71*t[15])/144 + t[20] + t[28]/3 + (2*t[29])/3 - 
       (2*t[30])/3 + t[31] + 4*t[35] - (5*t[44])/3 - (2*t[50])/3 + 
       (2*t[52])/3 + (2*t[54])/3 + (4*t[60])/3 - (5*t[61])/6 - (7*t[62])/12 - 
       (19*t[63])/4 + (11*t[64])/12 + (19*t[65])/18 - (3*t[66])/2 + t[69] + 
       t[72] + t[73] + t[75] - t[79] + (7*t[83])/6 + t[84]/3 + t[85]/3 + 
       (7*t[86])/3 - 2*t[87] - t[88] + t[89]/12 + t[100]/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[w, v, u]*(-t[4]/6 + t[5]/12 - 
       t[7]/6 - t[8]/6 - t[9]/12 + t[10]/12 - t[11]/2 - t[12]/2 - 
       (5*t[13])/18 + (17*t[14])/72 - t[15]/72 + t[49]/12 - t[51]/8 - 
       t[53]/12 + t[54]/6 - t[60]/6 + t[61]/6 + (5*t[62])/12 + (5*t[63])/4 - 
       t[64]/12 - (5*t[65])/18 + (5*t[66])/6 - t[69] - (11*t[83])/6 - 
       t[84]/6 - t[85]/6 - (2*t[86])/3 + t[87]/2 + t[88]/4 + t[89]/12 + 
       t[100]/2) + HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - u]*
      (t[3]/12 + t[4]/12 + (11*t[5])/48 - t[6]/32 - (9*t[7])/32 - 
       (43*t[8])/96 - (5*t[9])/16 - (5*t[10])/96 + t[11]/96 + (15*t[12])/16 - 
       (19*t[13])/72 - (131*t[14])/192 + (17*t[15])/96 - t[25]/6 + t[26]/6 + 
       t[37]/4 + (7*t[46])/48 - t[48]/32 - (11*t[49])/48 + (13*t[50])/96 + 
       (17*t[51])/192 - (13*t[52])/96 + (11*t[53])/48 - (7*t[54])/32 + 
       (31*t[59])/120 + (11*t[60])/48 - (27*t[61])/16 + (43*t[62])/32 - 
       (61*t[63])/96 - (85*t[64])/96 + (23*t[66])/12 + t[69]/2 - t[70]/4 + 
       t[71]/4 + t[73]/4 - t[74]/8 + (3*t[75])/4 - t[79]/8 - t[81]/8 + 
       t[82]/8 - (23*t[83])/24 - t[85]/48 - (19*t[86])/24 - (19*t[87])/48 - 
       (19*t[88])/96 + (19*t[89])/96 + t[100]/2) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((5*t[4])/6 - (5*t[5])/48 + (5*t[7])/24 + (5*t[8])/24 + (5*t[9])/48 - 
       (7*t[10])/24 + (7*t[11])/8 + (11*t[12])/16 + (13*t[13])/18 - 
       (107*t[14])/144 + (35*t[15])/288 - t[36]/2 + t[49]/12 + t[51]/4 - 
       t[53]/12 - t[54]/3 + (5*t[60])/6 - (13*t[61])/12 + t[62]/24 - 
       (27*t[63])/8 + (13*t[64])/24 + (35*t[65])/36 - (13*t[66])/12 + 
       t[73]/2 + (5*t[75])/2 - t[79]/2 - (17*t[83])/6 + t[84]/3 + t[85]/3 + 
       (5*t[86])/6 - (3*t[87])/2 - (3*t[88])/4 + (5*t[89])/24 + t[100]/2) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (t[3]/3 - (5*t[5])/48 + (5*t[6])/12 - (7*t[7])/24 + (17*t[8])/24 + 
       (11*t[9])/16 - (5*t[10])/24 - (5*t[11])/24 + (5*t[12])/48 + t[13]/9 - 
       (31*t[14])/144 - (101*t[15])/288 + (5*t[28])/6 + (2*t[29])/3 - 
       (2*t[30])/3 - (7*t[44])/6 + (3*t[48])/4 - (5*t[50])/12 + 
       (5*t[52])/12 + (5*t[54])/12 + (5*t[60])/6 - (13*t[61])/12 + t[62]/24 - 
       (27*t[63])/8 + (13*t[64])/24 + (35*t[65])/36 - (13*t[66])/12 + 
       t[73]/2 + (5*t[75])/2 - t[79]/2 - (17*t[83])/6 + t[84]/3 + t[85]/3 + 
       (5*t[86])/6 - (3*t[87])/2 - (3*t[88])/4 + (5*t[89])/24 + t[100]/2) + 
     HPL[{1}, 1 - v]^2*Nt[u, v, w]*(t[3]/12 + t[4]/12 + t[5]/24 - t[6]/8 - 
       t[7]/4 - (5*t[8])/12 - t[9]/8 + t[10]/24 + (7*t[11])/24 + t[12]/4 + 
       (5*t[13])/72 - (11*t[14])/16 + (5*t[15])/48 - t[25]/6 + t[26]/6 + 
       t[46]/3 - t[48]/8 - (7*t[49])/24 + t[50]/24 - t[51]/48 - t[52]/24 + 
       (7*t[53])/24 - t[54]/8 + t[60]/6 - (3*t[61])/2 + (7*t[62])/6 - 
       (7*t[63])/6 - t[64]/6 + t[65]/6 + (5*t[66])/6 + t[75] - (5*t[83])/6 + 
       t[85]/6 - (2*t[86])/3 - t[87]/3 - t[88]/6 + (5*t[89])/12 + t[100]/2) + 
     HPL[{1}, 1 - w]^2*Nt[u, v, w]*((2*t[3])/3 - t[4]/12 + (11*t[5])/24 + 
       (11*t[6])/24 - (3*t[7])/4 + (5*t[8])/12 - (19*t[9])/24 + t[10]/24 - 
       (17*t[11])/24 - t[12]/6 - t[13]/9 - (17*t[14])/48 - (49*t[15])/144 + 
       t[20]/6 + t[28]/3 - t[30]/6 + t[33]/6 - t[44]/6 + (13*t[48])/24 + 
       t[49]/24 - (11*t[50])/24 - t[51]/48 + (11*t[52])/24 - t[53]/24 + 
       (3*t[54])/8 + t[60]/6 - (3*t[61])/2 + (7*t[62])/6 - (7*t[63])/6 - 
       t[64]/6 + t[65]/6 + (5*t[66])/6 + t[75] - (5*t[83])/6 + t[85]/6 - 
       (2*t[86])/3 - t[87]/3 - t[88]/6 + (5*t[89])/12 + t[100]/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      (-t[1]/4 + t[2]/8 - (13*t[3])/16 + (419*t[4])/48 + (19*t[5])/12 + 
       (643*t[6])/192 - (5*t[7])/32 + (181*t[8])/96 + (23*t[9])/24 - 
       (413*t[10])/96 + (493*t[11])/64 - (17*t[12])/32 + (2437*t[13])/432 + 
       (103*t[14])/288 + (97*t[15])/144 + t[25]/6 + t[26]/12 - t[27]/2 + 
       t[28]/4 + t[29]/4 + t[31]/4 - (8*t[36])/3 - (9*t[37])/4 - t[38]/4 + 
       t[39]/4 - t[40]/4 + (41*t[46])/24 + (359*t[48])/192 - t[49]/48 - 
       (145*t[50])/192 - (331*t[51])/192 + (59*t[52])/64 - (29*t[53])/48 - 
       (201*t[54])/64 - (5*t[59])/8 + (643*t[60])/32 + (103*t[61])/96 + 
       (1417*t[62])/192 - (1191*t[63])/64 - (901*t[64])/64 + (103*t[65])/48 - 
       (17*t[66])/4 - t[69]/3 + (13*t[70])/12 - (13*t[71])/12 - t[72]/2 + 
       (55*t[73])/24 + (5*t[74])/24 + (175*t[75])/24 + t[76]/3 + t[77]/6 + 
       (5*t[78])/12 - (53*t[79])/24 - t[80]/12 + (25*t[81])/48 - 
       (13*t[82])/48 - (85*t[83])/6 + (35*t[84])/6 + (383*t[85])/96 - 
       (193*t[86])/24 - (1331*t[87])/96 - (1099*t[88])/192 + 
       (1405*t[89])/192 - (5*t[95])/6 - t[97]/12 + 2*t[98] - 2*t[99] + 
       t[100]/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      (-t[1]/8 + (3*t[2])/32 - (11*t[3])/24 + (15*t[4])/32 + (7*t[5])/64 + 
       (53*t[6])/96 - t[7]/4 + (3*t[8])/4 - (49*t[9])/64 - (205*t[10])/192 + 
       (11*t[11])/96 + t[12]/8 + (959*t[13])/864 - (1069*t[14])/1152 + 
       (973*t[15])/1152 + t[25]/12 - t[26]/12 + t[28]/12 + t[31]/6 - 
       t[35]/12 + (5*t[36])/24 + t[37]/4 + t[39]/12 - t[40]/12 + t[43]/12 - 
       t[45]/12 - (5*t[46])/24 + t[47]/6 + (19*t[48])/96 - (59*t[49])/192 - 
       (29*t[50])/96 + (61*t[51])/128 + (29*t[52])/96 + (59*t[53])/192 + 
       (3*t[54])/8 - (71*t[60])/48 + (77*t[61])/48 + (241*t[62])/64 - 
       (655*t[63])/192 + (87*t[64])/32 + (71*t[65])/288 + (21*t[66])/32 + 
       (7*t[73])/24 + t[74]/6 + t[75]/24 + t[76]/12 + t[77]/12 - 
       (9*t[79])/16 - (11*t[80])/24 + t[81]/24 - t[82]/4 - (25*t[83])/48 - 
       t[84]/6 + t[85]/48 - (187*t[86])/48 + (17*t[87])/16 + (17*t[88])/32 + 
       (41*t[89])/24 + t[98]/2 - t[99]/2 + (3*t[100])/4) + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((5*t[1])/12 + (3*t[2])/16 - (17*t[3])/12 - (17*t[4])/16 - t[5]/32 + 
       (53*t[6])/24 - (7*t[7])/6 + t[8]/2 - (25*t[9])/32 - (53*t[10])/96 + 
       t[11]/3 - t[12]/6 + (319*t[13])/144 - (1189*t[14])/576 + 
       (1469*t[15])/576 + t[25]/6 - t[26]/6 + t[28]/2 + (5*t[31])/6 - 
       t[35]/2 + t[36]/4 + t[37]/6 + t[39]/2 - t[40]/2 + t[43]/6 + t[45]/2 + 
       t[46]/2 - t[47] + t[48]/2 - (73*t[49])/32 - (5*t[50])/6 + 
       (65*t[51])/64 + (5*t[52])/6 + (73*t[53])/32 + (47*t[54])/48 - 
       (2*t[59])/3 + t[60]/48 + (209*t[61])/48 + (67*t[62])/8 - 9*t[63] + 
       (65*t[64])/32 + t[65]/8 - (209*t[66])/144 - (2*t[69])/3 + 
       (7*t[70])/24 - (7*t[71])/24 + (5*t[73])/4 + (11*t[74])/12 - t[75]/2 + 
       t[77]/2 + t[78]/4 - (5*t[79])/6 - (9*t[80])/4 + t[81]/4 - 
       (25*t[82])/24 - (11*t[83])/4 - t[84]/12 - t[85]/12 - (307*t[86])/24 + 
       (19*t[87])/12 + (19*t[88])/24 + (455*t[89])/96 + t[99]/2 + 
       (3*t[100])/4) + HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - v]*
      ((-413*t[2])/288 + (211*t[3])/144 - (85*t[4])/288 + (23*t[5])/36 + 
       (101*t[6])/144 - (131*t[7])/96 + (623*t[8])/288 - (635*t[9])/288 - 
       (281*t[10])/576 - (367*t[11])/288 - (109*t[12])/576 - 
       (127*t[13])/216 - (1487*t[14])/1152 - (73*t[15])/288 + (5*t[20])/18 + 
       (5*t[24])/12 + (5*t[28])/9 + (5*t[29])/24 + (5*t[30])/36 - 
       (5*t[31])/12 + (5*t[33])/18 - t[35]/4 - (5*t[44])/18 + 
       (151*t[48])/144 - (5*t[49])/576 - (89*t[50])/144 + (5*t[51])/1152 + 
       (89*t[52])/144 + (5*t[53])/576 + (23*t[54])/32 + (73*t[59])/144 - 
       (73*t[60])/288 - (227*t[61])/96 + (979*t[62])/576 - (1015*t[63])/576 + 
       (317*t[64])/576 + (65*t[65])/72 + (149*t[66])/48 + (5*t[73])/24 - 
       (7*t[74])/24 + (5*t[75])/8 - (7*t[79])/24 - (5*t[81])/48 + 
       (5*t[82])/48 - (115*t[83])/72 - t[84]/8 - (145*t[85])/288 - 
       (17*t[86])/72 + (5*t[87])/288 + (53*t[88])/576 + (319*t[89])/576 + 
       (5*t[100])/6) + HPL[{1}, 1 - v]^3*Omega2[v, w, u]*
      (t[3]/6 + (2*t[4])/3 + t[5]/12 - t[6]/4 - t[8]/3 - t[9]/4 + 
       (13*t[10])/12 - (17*t[11])/12 + (3*t[12])/2 - (79*t[13])/36 + 
       (25*t[14])/24 - (11*t[15])/24 - t[25]/3 + t[26]/3 + t[37] - t[46]/3 - 
       t[48]/4 + (5*t[49])/12 + t[50]/12 - (7*t[51])/24 - t[52]/12 - 
       (5*t[53])/12 + t[54]/4 + t[59] - (13*t[60])/6 - t[61] - (3*t[62])/4 + 
       (35*t[63])/12 - (19*t[64])/12 - (7*t[65])/6 + (13*t[66])/6 + 2*t[69] - 
       t[70] + t[71] - 2*t[75] + (17*t[83])/6 - t[84]/2 - t[85]/6 + 
       (2*t[86])/3 + (11*t[87])/6 + (11*t[88])/12 - (11*t[89])/12 + t[100]) + 
     HPL[{1}, 1 - v]^2*M1[v, u, w]*(t[3]/6 + (7*t[4])/6 + t[5]/12 - t[6]/2 - 
       t[7]/4 - (7*t[8])/12 - t[9]/4 + (5*t[10])/24 + (7*t[11])/12 + 
       (9*t[12])/8 - (17*t[13])/18 + t[14]/48 - t[15]/4 - t[25]/3 + t[26]/3 + 
       t[27]/2 + t[37]/2 + t[46]/6 - t[48]/4 - (5*t[49])/24 + t[50]/12 - 
       (11*t[51])/48 - t[52]/12 + (5*t[53])/24 - (3*t[54])/4 + t[59]/2 - 
       t[60]/6 - 3*t[61] - t[62]/6 - (5*t[63])/6 - (25*t[64])/12 - 
       (5*t[65])/6 + (5*t[66])/6 + t[69] - t[70]/2 + t[71]/2 - (5*t[83])/12 + 
       (5*t[85])/6 - t[86]/3 - t[87]/6 - t[88]/12 + t[89]/12 + t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((8*t[4])/3 - (7*t[5])/12 + (7*t[7])/6 + (7*t[8])/6 + (7*t[9])/12 - 
       (11*t[10])/6 + (5*t[11])/2 + (5*t[12])/4 + (17*t[13])/9 - 
       (16*t[14])/9 + (25*t[15])/72 - 2*t[36] + (2*t[49])/3 + (5*t[51])/12 - 
       (2*t[53])/3 - (2*t[54])/3 + (8*t[60])/3 - (5*t[61])/3 - (7*t[62])/6 - 
       (19*t[63])/2 + 2*t[64] + (46*t[65])/9 - (29*t[66])/9 + 2*t[69] + 
       2*t[73] + 2*t[75] - 2*t[79] - (5*t[83])/3 + (2*t[84])/3 + 
       (2*t[85])/3 + (14*t[86])/3 - 4*t[87] - (35*t[88])/12 + t[89]/6 + 
       t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[v, w, u]*
      (t[3]/6 - (5*t[5])/24 + (7*t[6])/12 - (7*t[7])/12 + (17*t[8])/12 + 
       (7*t[9])/8 - (5*t[10])/12 - t[11]/6 + (5*t[12])/24 + t[13]/18 + 
       (23*t[14])/72 - (5*t[15])/16 + (5*t[28])/3 + t[29]/3 - t[30]/3 + 
       t[31] + 2*t[35] - (4*t[44])/3 - t[48]/4 - (7*t[50])/12 + 
       (7*t[52])/12 + (7*t[54])/12 + (7*t[60])/6 - (2*t[61])/3 - t[62]/6 - 
       (7*t[63])/2 + (5*t[64])/6 + (7*t[65])/9 - (2*t[66])/3 + t[72] + 
       t[73] + t[75] - t[79] - (2*t[83])/3 + t[84]/6 + t[85]/6 + 
       (5*t[86])/3 - (3*t[87])/2 - (3*t[88])/4 + t[89]/6 + t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[v, u, w]*(-t[3]/3 + t[5]/6 - t[6]/6 - 
       t[7]/3 - t[8]/3 - t[9]/2 + t[10]/3 - t[11]/6 - t[12]/6 - t[13]/9 - 
       (5*t[14])/9 + (5*t[15])/36 + (2*t[28])/3 + t[29]/3 + (2*t[30])/3 - 
       t[31] - 2*t[35] - t[44]/3 + t[48]/2 + t[50]/6 - t[52]/6 - t[54]/6 - 
       t[60]/3 - (2*t[61])/3 + (5*t[62])/6 + (5*t[63])/2 - (2*t[64])/3 - 
       (5*t[65])/9 + (5*t[66])/3 - t[72] - (8*t[83])/3 - t[84]/3 - t[85]/3 - 
       (4*t[86])/3 - t[88]/2 + t[89]/6 + t[100]) + 
     HPL[{1}, 1 - v]^3*Omega2[w, u, v]*(t[3]/6 + t[4]/6 + t[5]/12 - t[6]/4 - 
       t[7]/2 - (5*t[8])/6 - t[9]/4 + t[10]/12 + (7*t[11])/12 + t[12]/2 + 
       (5*t[13])/36 - (11*t[14])/8 + (5*t[15])/24 - t[25]/3 + t[26]/3 + 
       (2*t[46])/3 - t[48]/4 - (7*t[49])/12 + t[50]/12 - t[51]/24 - 
       t[52]/12 + (7*t[53])/12 - t[54]/4 + t[60]/3 - (5*t[61])/2 + 
       (5*t[62])/2 - (7*t[63])/3 - (5*t[64])/6 + t[65]/3 + (5*t[66])/3 + 
       2*t[75] - (5*t[83])/3 + t[85]/3 - (4*t[86])/3 - (2*t[87])/3 - 
       t[88]/3 + (5*t[89])/6 + t[100]) + HPL[{1}, 1 - w]^3*Omega2[u, v, w]*
      (-t[2]/6 + (5*t[3])/6 - t[4]/6 + (11*t[5])/12 + (11*t[6])/12 - 
       (3*t[7])/2 + (5*t[8])/6 - (19*t[9])/12 + t[10]/12 - (17*t[11])/12 - 
       t[12]/3 - (2*t[13])/9 - (17*t[14])/24 - (35*t[15])/72 + t[20]/3 + 
       (2*t[28])/3 - t[30]/3 + t[33]/3 - t[44]/3 + (13*t[48])/12 + t[49]/12 - 
       (11*t[50])/12 - t[51]/24 + (11*t[52])/12 - t[53]/12 + (3*t[54])/4 + 
       t[60]/3 - (5*t[61])/2 + (5*t[62])/2 - (7*t[63])/3 - (5*t[64])/6 + 
       t[65]/3 + (5*t[66])/3 + 2*t[75] - (5*t[83])/3 + t[85]/3 - 
       (4*t[86])/3 - (2*t[87])/3 - t[88]/3 + (5*t[89])/6 + t[100]) + 
     HPL[{0, 1}, 1 - w]*M1[w, v, u]*((7*t[1])/12 - (23*t[2])/12 + 
       (11*t[3])/4 + (121*t[4])/12 + (3*t[5])/8 - (23*t[6])/4 - (5*t[7])/4 - 
       (137*t[8])/12 - (25*t[9])/24 - (7*t[10])/24 + (11*t[11])/4 - 
       (41*t[12])/6 + (487*t[13])/108 - (29*t[14])/16 - (331*t[15])/144 - 
       (3*t[26])/2 - t[27]/3 - (4*t[28])/3 + t[29]/3 + (2*t[30])/3 + 
       (7*t[31])/3 + t[34]/6 + 2*t[35] - t[37] + (7*t[38])/6 - t[39]/2 + 
       t[40] - t[41]/12 + t[42]/12 + t[43]/6 + (2*t[44])/3 - (14*t[48])/3 + 
       (39*t[49])/8 - (19*t[50])/6 - (15*t[51])/16 + t[52]/3 - 
       (101*t[53])/24 - (31*t[54])/12 - t[58]/2 - (7*t[59])/12 + 
       (67*t[60])/4 + (3*t[61])/4 - (61*t[62])/24 + (101*t[63])/24 - 
       (245*t[64])/24 - (491*t[65])/36 - (199*t[66])/36 - (2*t[72])/3 + 
       (29*t[76])/6 + t[77]/3 - (11*t[78])/3 + (5*t[80])/3 + (11*t[81])/6 - 
       t[82]/2 + 2*t[83] - (29*t[84])/12 + (59*t[85])/12 - (4*t[86])/3 - 
       (187*t[87])/12 - (187*t[88])/24 - (31*t[89])/24 + t[96] + 
       (7*t[97])/6 + 32*t[98] - 32*t[99] + t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      ((2*t[1])/3 - (4*t[2])/3 + (11*t[3])/6 + 4*t[4] + (221*t[5])/24 - 
       (143*t[6])/48 + (85*t[7])/12 - (13*t[8])/4 - (125*t[9])/12 + 
       (5*t[10])/6 + (707*t[11])/48 - (19*t[12])/24 + (92*t[13])/27 - 
       (545*t[14])/144 + (443*t[15])/108 + t[25] - t[26] - t[27]/3 - t[28] + 
       t[29]/6 + t[30] - t[31]/3 + (2*t[32])/3 - (2*t[33])/3 - (2*t[34])/3 - 
       t[36] + t[38]/3 - (2*t[39])/3 + (3*t[40])/2 + t[41]/3 - t[42]/3 + 
       t[43]/3 - t[44]/3 - t[46]/2 + (2*t[47])/3 + (9*t[48])/16 + 
       (35*t[49])/6 + (251*t[50])/48 - (23*t[51])/24 - (283*t[52])/48 - 
       (9*t[53])/2 - (117*t[54])/16 + t[59]/3 - (123*t[60])/8 + 
       (117*t[61])/8 - (355*t[62])/48 + (755*t[63])/48 + (1639*t[64])/48 - 
       (41*t[65])/72 + (1217*t[66])/72 - t[69] - t[72]/3 + 3*t[75] + 
       (14*t[76])/3 - t[77]/3 - (28*t[78])/3 + t[80]/3 - (11*t[81])/6 + 
       t[82]/2 - (9*t[83])/2 - (143*t[84])/24 - (145*t[85])/24 - 
       (2*t[86])/3 + (95*t[87])/24 + (95*t[88])/48 - (127*t[89])/48 + 
       2*t[96] + (4*t[97])/3 + 16*t[98] - 22*t[99] + t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      ((2*t[1])/3 - (79*t[2])/12 - 4*t[3] - (275*t[4])/24 - (7*t[5])/8 - 
       (5*t[6])/4 - 3*t[7] + (20*t[8])/3 - (59*t[9])/24 + (539*t[10])/48 - 
       (65*t[11])/4 + (73*t[12])/48 - (3713*t[13])/216 + (559*t[14])/96 - 
       (139*t[15])/72 - t[20] + t[22] - (2*t[27])/3 + (4*t[28])/3 + 
       (5*t[29])/3 - (5*t[30])/3 + (2*t[31])/3 + t[32] - t[33] - 
       (2*t[34])/3 + t[36] + t[37] + t[38]/3 + t[39] + (5*t[41])/6 - 
       (5*t[42])/6 + t[43]/3 - (11*t[44])/3 - t[46]/2 + t[47] + (5*t[48])/3 + 
       (27*t[49])/16 - (16*t[50])/3 - (43*t[51])/32 + (14*t[52])/3 - 
       (17*t[53])/48 + (179*t[54])/24 + t[59]/3 - (123*t[60])/8 + 
       (117*t[61])/8 - (355*t[62])/48 + (755*t[63])/48 + (1639*t[64])/48 - 
       (41*t[65])/72 + (1217*t[66])/72 - t[69] - t[72]/3 + 3*t[75] + 
       (14*t[76])/3 - t[77]/3 - (28*t[78])/3 + t[80]/3 - (11*t[81])/6 + 
       t[82]/2 - (9*t[83])/2 - (143*t[84])/24 - (145*t[85])/24 - 
       (2*t[86])/3 + (95*t[87])/24 + (95*t[88])/48 - (127*t[89])/48 + 
       2*t[96] + (4*t[97])/3 + 16*t[98] - 22*t[99] + t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((41*t[4])/36 - (29*t[5])/288 + (29*t[7])/144 + (29*t[8])/144 + 
       (29*t[9])/288 - (55*t[10])/144 + (47*t[11])/48 + (67*t[12])/96 + 
       (97*t[13])/108 - (827*t[14])/864 + (299*t[15])/1728 - (3*t[36])/4 + 
       (13*t[49])/72 + (7*t[51])/24 - (13*t[53])/72 - (7*t[54])/18 + 
       (41*t[60])/36 - (109*t[61])/72 + (49*t[62])/144 - (203*t[63])/48 + 
       (121*t[64])/144 + (275*t[65])/216 - (77*t[66])/72 - (5*t[69])/6 + 
       (3*t[73])/4 + (47*t[75])/12 - (3*t[79])/4 - (53*t[83])/9 + 
       (7*t[84])/18 + (7*t[85])/18 + (29*t[86])/36 - (23*t[87])/12 - 
       (23*t[88])/24 + (53*t[89])/144 + (13*t[100])/12) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (t[1]/4 - (35*t[2])/16 + (2*t[3])/9 - (79*t[4])/8 + (625*t[5])/288 - 
       (181*t[6])/72 - (25*t[7])/3 - (235*t[8])/24 + (259*t[9])/96 + 
       (1829*t[10])/144 - (869*t[11])/144 + (1415*t[12])/288 + 
       (181*t[13])/108 - (4211*t[14])/432 + (3955*t[15])/1728 - (2*t[25])/3 + 
       (2*t[26])/3 + 2*t[28] + (4*t[31])/9 - (5*t[35])/3 - (7*t[36])/6 + 
       t[37]/6 + 2*t[39] - 2*t[40] + (5*t[43])/9 + 2*t[45] + (4*t[46])/3 - 
       4*t[47] + (7*t[48])/12 - (625*t[49])/144 + (7*t[50])/36 + 
       (167*t[51])/96 - (7*t[52])/36 + (625*t[53])/144 + (79*t[54])/72 + 
       t[59] - (227*t[60])/72 - (431*t[61])/24 + (6221*t[62])/288 - 
       (775*t[63])/96 - (271*t[64])/24 + (739*t[65])/48 + (5491*t[66])/432 + 
       2*t[69] - t[70] + t[71] - (5*t[72])/6 + (13*t[73])/12 + t[74] + 
       t[75] + 2*t[77] + 2*t[78] + (77*t[79])/6 - 4*t[80] + (5*t[81])/3 + 
       (11*t[82])/18 - (32*t[83])/3 + (17*t[84])/9 - (26*t[85])/9 - 
       (391*t[86])/18 - (71*t[87])/18 - (71*t[88])/36 + (107*t[89])/24 + 
       (7*t[100])/6) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - v]*((-379*t[3])/144 - (5*t[4])/72 - (703*t[5])/288 + 
       (71*t[6])/48 - (127*t[7])/32 - (2075*t[8])/288 + (295*t[9])/96 + 
       (3071*t[10])/288 - (385*t[11])/72 + (11*t[12])/32 - (29*t[13])/864 + 
       (511*t[14])/576 + (1307*t[15])/576 + (5*t[25])/36 - (5*t[26])/36 + 
       t[27]/4 + 2*t[28] - t[29]/4 + 2*t[31] - 2*t[35] + t[36]/2 + 
       (5*t[37])/12 + 2*t[39] - 2*t[40] + 2*t[45] + (137*t[46])/144 - 
       4*t[47] - (31*t[48])/48 - (445*t[49])/144 - (95*t[50])/144 + 
       (691*t[51])/576 + (95*t[52])/144 + (445*t[53])/144 + (59*t[54])/48 + 
       (5*t[59])/12 + (155*t[60])/72 + (113*t[61])/24 + (2143*t[62])/144 - 
       (31*t[63])/144 - (3955*t[64])/144 + (53*t[65])/144 - (235*t[66])/48 - 
       (2*t[69])/3 - (5*t[70])/12 + (5*t[71])/12 - t[72]/2 - (19*t[73])/12 + 
       (19*t[74])/8 + (3*t[75])/4 + 2*t[77] + 2*t[78] + (11*t[79])/8 - 
       (7*t[80])/2 + (49*t[81])/24 - (61*t[82])/24 - (181*t[83])/72 + 
       (7*t[84])/16 - (55*t[85])/72 - (2045*t[86])/72 - (7*t[87])/18 - 
       (25*t[88])/36 + (293*t[89])/72 + t[99] + (29*t[100])/24) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      (-t[1]/24 + (7*t[2])/96 - (1099*t[3])/288 + (179*t[4])/288 - 
       (947*t[5])/288 + (1151*t[6])/144 + (313*t[7])/96 + (1211*t[8])/288 + 
       (1589*t[9])/144 - (605*t[10])/576 - (1315*t[11])/288 + 
       (905*t[12])/576 + (14*t[13])/27 + (6073*t[14])/1152 - 
       (1139*t[15])/216 + (7*t[20])/9 - t[22]/2 + t[23]/3 - (5*t[24])/12 + 
       (103*t[28])/18 + (17*t[29])/6 - (121*t[30])/36 + (2*t[31])/3 - 
       (13*t[32])/24 + (49*t[33])/36 + t[34]/4 + (25*t[35])/12 + t[36]/4 + 
       t[37]/4 - t[39]/6 + t[40]/2 + t[41]/12 - t[42]/12 + t[43]/8 - 
       (475*t[44])/144 - (5*t[45])/12 - t[46]/8 + (2*t[47])/3 + 
       (281*t[48])/72 - (629*t[49])/576 - (43*t[50])/18 + (521*t[51])/1152 + 
       (59*t[52])/36 + (629*t[53])/576 + (761*t[54])/96 - (5*t[59])/24 + 
       (5777*t[60])/288 - (127*t[61])/96 + (4321*t[62])/576 - 
       (10189*t[63])/576 - (8659*t[64])/576 + (269*t[65])/144 - 
       (151*t[66])/72 + t[69]/2 + (2*t[70])/3 - (2*t[71])/3 - t[72]/2 + 
       (65*t[73])/24 - (5*t[74])/24 + (185*t[75])/24 + t[76]/3 + t[77]/6 + 
       (5*t[78])/12 - (21*t[79])/8 - t[80]/12 + (5*t[81])/16 - t[82]/16 - 
       (1015*t[83])/72 + (35*t[84])/6 + (1259*t[85])/288 - (509*t[86])/72 - 
       (4063*t[87])/288 - (3367*t[88])/576 + (4165*t[89])/576 - (5*t[95])/6 - 
       t[97]/12 + 2*t[98] - 2*t[99] + (4*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      ((103*t[2])/32 - (79*t[3])/12 + (475*t[4])/48 + (49*t[5])/96 + 
       (313*t[6])/48 - (481*t[7])/32 + (129*t[8])/32 - (23*t[9])/6 + 
       (85*t[10])/16 + (41*t[11])/48 - (343*t[12])/96 + (1105*t[13])/144 + 
       (2243*t[14])/576 + (1427*t[15])/432 + t[20]/4 - t[22]/2 + 
       (5*t[24])/12 + (7*t[28])/6 + (5*t[29])/6 + t[30]/12 + (13*t[31])/12 - 
       2*t[32] + (7*t[33])/4 - (5*t[35])/12 - (5*t[36])/2 - t[37]/2 - 
       t[41]/4 + t[42]/4 - (5*t[43])/4 - (49*t[44])/12 + t[46]/4 - t[47]/2 + 
       (19*t[48])/8 + (209*t[49])/96 - (11*t[50])/4 - (173*t[51])/192 + 
       (11*t[52])/4 - (209*t[53])/96 + (91*t[54])/48 + (233*t[60])/48 + 
       (87*t[61])/16 + (435*t[62])/32 - (1021*t[63])/96 - (2369*t[64])/96 + 
       (397*t[65])/144 - (1447*t[66])/144 + t[69]/2 + (3*t[72])/2 + 
       (67*t[74])/24 + (7*t[75])/3 + 2*t[77] + 2*t[78] - (5*t[79])/24 - 
       (7*t[80])/2 + (9*t[81])/4 - (11*t[82])/4 - t[83]/4 + (53*t[84])/48 - 
       (23*t[85])/48 - (593*t[86])/24 - (199*t[87])/48 - (247*t[88])/96 + 
       (415*t[89])/96 + t[99] + (11*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u]*
      ((5*t[3])/12 - (11*t[4])/36 + (83*t[5])/72 - t[6]/4 - (13*t[7])/18 - 
       (14*t[8])/9 - (113*t[9])/72 + (143*t[10])/72 - (13*t[11])/2 + 
       (13*t[12])/4 - (647*t[13])/216 + (205*t[14])/432 - (323*t[15])/432 - 
       t[25]/3 + t[26]/3 + 3*t[36] + t[37]/3 - (5*t[46])/3 - t[48]/4 + 
       (77*t[49])/72 + (7*t[50])/12 + (5*t[51])/16 - (7*t[52])/12 - 
       (77*t[53])/72 - (11*t[54])/18 + (3*t[59])/2 - (395*t[60])/36 - 
       (49*t[61])/36 - (11*t[62])/72 + (95*t[63])/8 - (743*t[64])/72 + 
       (385*t[65])/54 + (97*t[66])/18 + (19*t[69])/6 - (8*t[70])/3 + 
       (8*t[71])/3 + 2*t[73] - (11*t[74])/3 - (11*t[75])/3 - (2*t[79])/3 - 
       t[81]/2 + t[82]/2 + (29*t[83])/36 - (7*t[84])/18 - (11*t[85])/36 - 
       (11*t[86])/9 + (77*t[87])/12 + (77*t[88])/24 - (241*t[89])/72 + 
       (17*t[100])/12) + B8[u, v, w]*HPL[{1}, 1 - w]*
      (-t[4] - (7*t[5])/8 - 2*t[6] + (13*t[7])/4 - (25*t[8])/4 + 
       (11*t[9])/8 + t[10]/2 + t[11]/4 + t[12]/8 - (9*t[13])/8 + t[14]/6 + 
       (3*t[15])/16 + t[44] - (7*t[48])/4 - t[49]/4 + (7*t[50])/4 + t[51]/8 - 
       (7*t[52])/4 + t[53]/4 - (5*t[54])/4 - t[60]/2 - t[61]/2 - 
       (7*t[62])/4 + (15*t[63])/4 - 3*t[64] - (5*t[65])/4 + (13*t[66])/12 + 
       t[75] - t[81]/2 + t[82]/2 - t[83] - t[84]/4 - t[85]/2 - 2*t[89] + 
       (3*t[100])/2) + B8[u, v, w]*HPL[{1}, 1 - v]*(t[3]/4 + (7*t[5])/8 - 
       t[7]/4 - (3*t[8])/4 - (9*t[9])/8 + 2*t[10] - (5*t[11])/4 - 
       (7*t[12])/8 - (31*t[13])/24 + (31*t[14])/24 - (17*t[15])/48 - 
       t[46]/2 + (3*t[49])/4 + t[50]/2 - t[51]/4 - t[52]/2 - (3*t[53])/4 - 
       t[54]/2 - t[60]/2 - t[61]/2 - (7*t[62])/4 + (15*t[63])/4 - 3*t[64] - 
       (5*t[65])/4 + (13*t[66])/12 + t[75] - t[81]/2 + t[82]/2 - t[83] - 
       t[84]/4 - t[85]/2 - 2*t[89] + (3*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*
      (-t[2]/96 + (175*t[3])/96 - (27*t[4])/8 - (3*t[5])/32 - (113*t[6])/48 + 
       (27*t[7])/32 - (23*t[8])/96 + (49*t[9])/24 + (25*t[10])/96 - 
       (409*t[11])/96 + (7*t[12])/12 - (2135*t[13])/576 - (89*t[14])/96 - 
       (475*t[15])/576 - (2*t[31])/3 + (7*t[35])/8 - t[36]/2 - t[37]/4 - 
       t[41]/8 + t[42]/8 - t[43]/3 - t[47]/4 - (25*t[48])/32 + 
       (17*t[49])/48 + (107*t[50])/96 - (11*t[51])/32 - (107*t[52])/96 - 
       (17*t[53])/48 - (47*t[54])/96 - (263*t[61])/24 - (209*t[62])/48 + 
       (53*t[63])/8 - (241*t[64])/96 + (70*t[65])/9 + (287*t[66])/36 + 
       (2*t[69])/3 - (3*t[70])/8 + (3*t[71])/8 - t[72]/2 - t[73] - t[75]/4 + 
       (137*t[79])/48 + t[80]/4 + (5*t[82])/6 + (23*t[83])/16 + 
       (5*t[84])/12 - (5*t[85])/12 + (451*t[86])/48 - (41*t[87])/24 - 
       (41*t[88])/48 - (31*t[89])/16 + (3*t[100])/2) + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((2*t[1])/3 - (3*t[2])/8 + (7*t[3])/6 - (11*t[4])/4 + (7*t[5])/24 - 
       (61*t[6])/24 + (5*t[7])/8 - (13*t[8])/8 + 2*t[9] + (23*t[10])/12 - 
       (55*t[11])/24 + (5*t[12])/6 - (65*t[13])/18 - (145*t[14])/144 - 
       (103*t[15])/72 - t[31]/6 - t[36]/2 - t[43]/12 - (3*t[48])/8 - 
       (5*t[49])/24 + (11*t[50])/24 - t[51]/16 - (11*t[52])/24 + 
       (5*t[53])/24 - (5*t[54])/24 - (263*t[61])/24 - (209*t[62])/48 + 
       (53*t[63])/8 - (241*t[64])/96 + (70*t[65])/9 + (287*t[66])/36 + 
       (2*t[69])/3 - (3*t[70])/8 + (3*t[71])/8 - t[72]/2 - t[73] - t[75]/4 + 
       (137*t[79])/48 + t[80]/4 + (5*t[82])/6 + (23*t[83])/16 + 
       (5*t[84])/12 - (5*t[85])/12 + (451*t[86])/48 - (41*t[87])/24 - 
       (41*t[88])/48 - (31*t[89])/16 + (3*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (t[3]/4 + 2*t[4] + (7*t[5])/8 - t[7]/4 - (3*t[8])/4 - (9*t[9])/8 + 
       t[10] - (5*t[11])/4 - (15*t[12])/8 - (5*t[13])/8 + (7*t[14])/24 - 
       t[15]/48 - t[46]/2 + (7*t[49])/4 + t[50]/2 - t[51]/4 - t[52]/2 - 
       (7*t[53])/4 - t[54]/2 + (3*t[60])/2 - (5*t[61])/2 + t[62]/4 - 
       t[63]/4 - 4*t[64] - (23*t[65])/12 + (29*t[66])/12 + 2*t[73] + 
       4*t[75] - t[81]/2 + t[82]/2 - 6*t[83] - t[84]/4 - t[85]/2 - 2*t[87] - 
       t[88] - t[89] + (3*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-t[4] - (7*t[5])/8 - t[6] + (5*t[7])/4 - 
       (17*t[8])/4 + (19*t[9])/8 + t[10]/2 - (3*t[11])/4 + t[12]/8 - 
       (9*t[13])/8 + (7*t[14])/6 + (73*t[15])/48 + 2*t[28] - t[44] - 
       (3*t[48])/4 - t[49]/4 + (3*t[50])/4 + t[51]/8 - (3*t[52])/4 + 
       t[53]/4 - t[54]/4 + (3*t[60])/2 - (5*t[61])/2 + t[62]/4 - t[63]/4 - 
       4*t[64] - (23*t[65])/12 + (29*t[66])/12 + 2*t[73] + 4*t[75] - 
       t[81]/2 + t[82]/2 - 6*t[83] - t[84]/4 - t[85]/2 - 2*t[87] - t[88] - 
       t[89] + (3*t[100])/2) + B7[u, v, w]*HPL[{1}, 1 - w]*
      (-t[4]/4 + t[5]/8 - t[6]/2 + t[7]/4 - (3*t[8])/4 - (5*t[9])/8 + 
       t[10]/8 - t[11]/2 - t[12]/4 - (5*t[13])/24 - (13*t[14])/48 - 
       t[15]/48 - t[48]/4 + t[49]/8 + t[50]/4 - t[51]/16 - t[52]/4 - 
       t[53]/8 - t[54]/2 - (3*t[60])/4 - (7*t[61])/4 + (5*t[62])/8 + 
       (7*t[63])/8 + (5*t[64])/8 - (7*t[65])/12 - t[66]/12 + t[83] - 
       t[84]/4 + t[85]/4 + t[87]/4 + t[88]/8 - t[89]/8 + (3*t[100])/2) + 
     B7[u, v, w]*HPL[{1}, 1 - v]*(t[3]/4 + t[5]/8 - (3*t[6])/8 - t[7]/4 - 
       (3*t[8])/4 - (3*t[9])/8 + t[10] - (5*t[11])/8 - (3*t[12])/8 + 
       t[13]/8 - (7*t[14])/24 - (11*t[15])/48 - (3*t[48])/8 + t[49]/4 + 
       t[50]/8 - t[51]/8 - t[52]/8 - t[53]/4 - t[54]/8 - (3*t[60])/4 - 
       (7*t[61])/4 + (5*t[62])/8 + (7*t[63])/8 + (5*t[64])/8 - (7*t[65])/12 - 
       t[66]/12 + t[83] - t[84]/4 + t[85]/4 + t[87]/4 + t[88]/8 - t[89]/8 + 
       (3*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[w, u, v]*
      (t[4] - t[5]/8 + t[7]/4 + t[8]/4 + t[9]/8 - (3*t[10])/4 + t[11]/4 + 
       (5*t[12])/8 + t[13]/3 - (11*t[14])/24 + (7*t[15])/48 - t[36] + 
       t[49]/2 - t[53]/2 + t[60] - (3*t[61])/2 + t[62]/4 - (9*t[63])/4 + 
       t[64]/4 + t[65]/2 + t[66]/6 + t[69] + t[73] + t[75] - t[79] - 
       (3*t[83])/2 + t[86] - 2*t[87] - (3*t[88])/2 + t[89]/4 + 
       (3*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((2*t[3])/3 - (11*t[5])/32 + (9*t[6])/8 - 
       (43*t[7])/48 + (109*t[8])/48 + (173*t[9])/96 - (11*t[10])/16 - 
       (7*t[11])/16 + (11*t[12])/32 + (2*t[13])/9 - (3*t[14])/32 - 
       (2179*t[15])/1728 + (31*t[28])/12 + (4*t[29])/3 - (4*t[30])/3 + 
       (5*t[31])/6 + (5*t[35])/3 - (35*t[44])/12 + (23*t[48])/24 - 
       (9*t[50])/8 + (9*t[52])/8 + (9*t[54])/8 + (9*t[60])/4 - 
       (53*t[61])/24 - (7*t[62])/48 - (131*t[63])/16 + (77*t[64])/48 + 
       (155*t[65])/72 - (167*t[66])/72 + (5*t[72])/6 + (19*t[73])/12 + 
       (19*t[75])/4 - (19*t[79])/12 - (59*t[83])/12 + (2*t[84])/3 + 
       (2*t[85])/3 + (11*t[86])/4 - (43*t[87])/12 - (43*t[88])/24 + 
       (7*t[89])/16 + (3*t[100])/2) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1, 1}, 1 - v]*(t[3]/4 - t[4]/2 + (5*t[5])/4 + (3*t[6])/16 - 
       (9*t[7])/8 - (13*t[8])/8 - (3*t[9])/2 - (23*t[10])/8 + (23*t[11])/16 + 
       (27*t[12])/8 + (25*t[13])/12 - (97*t[14])/16 + (7*t[15])/4 - t[25]/2 + 
       t[26]/2 + t[46] + (3*t[48])/16 - 2*t[49] + (11*t[50])/16 + 
       (5*t[51])/4 - (11*t[52])/16 + 2*t[53] - (27*t[54])/16 + (2*t[59])/3 + 
       (37*t[60])/8 - (75*t[61])/8 + (137*t[62])/16 - (125*t[63])/16 - 
       (29*t[64])/16 + (11*t[65])/4 + (17*t[66])/2 + (3*t[73])/2 - 
       (3*t[74])/2 + (15*t[75])/2 - (3*t[79])/2 - (3*t[81])/4 + (3*t[82])/4 - 
       10*t[83] + (3*t[84])/4 + t[85]/8 - (7*t[86])/2 - (41*t[87])/8 - 
       (41*t[88])/16 + (41*t[89])/16 + (3*t[100])/2) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - w]*((-17*t[2])/8 + 5*t[3] - 
       (11*t[4])/8 + (5*t[5])/8 + (19*t[6])/4 - (45*t[7])/8 + (79*t[8])/8 - 
       (23*t[9])/4 - (7*t[10])/16 - (47*t[11])/8 + (7*t[12])/16 - 
       (29*t[13])/24 - (89*t[14])/32 - (71*t[15])/48 + 2*t[20] + 4*t[28] + 
       (3*t[29])/2 - 2*t[30] + 2*t[33] + 3*t[35] - 2*t[44] + 5*t[48] - 
       (7*t[49])/16 - 4*t[50] + (7*t[51])/32 + 4*t[52] + (7*t[53])/16 + 
       (39*t[54])/8 + (2*t[59])/3 + (37*t[60])/8 - (75*t[61])/8 + 
       (137*t[62])/16 - (125*t[63])/16 - (29*t[64])/16 + (11*t[65])/4 + 
       (17*t[66])/2 + (3*t[73])/2 - (3*t[74])/2 + (15*t[75])/2 - 
       (3*t[79])/2 - (3*t[81])/4 + (3*t[82])/4 - 10*t[83] + (3*t[84])/4 + 
       t[85]/8 - (7*t[86])/2 - (41*t[87])/8 - (41*t[88])/16 + (41*t[89])/16 + 
       (3*t[100])/2) + HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - w]*
      ((5*t[3])/18 - (5*t[4])/36 + (175*t[5])/288 - (35*t[6])/192 - 
       (3*t[7])/32 - (187*t[8])/288 - (85*t[9])/96 - (173*t[10])/288 - 
       (529*t[11])/576 + (23*t[12])/12 - (535*t[13])/864 - (365*t[14])/192 + 
       (167*t[15])/576 - (5*t[25])/9 + (5*t[26])/9 + (5*t[37])/12 + 
       t[46]/36 - (35*t[48])/192 - (43*t[49])/72 + (215*t[50])/576 + 
       (47*t[51])/144 - (215*t[52])/576 + (43*t[53])/72 - (85*t[54])/192 + 
       (133*t[59])/144 - (83*t[60])/288 - (457*t[61])/96 + (1049*t[62])/576 - 
       (485*t[63])/576 - (233*t[64])/576 + (5*t[65])/8 + (757*t[66])/144 + 
       (5*t[69])/6 - (5*t[70])/12 + (5*t[71])/12 + (5*t[73])/8 - 
       (17*t[74])/24 + (25*t[75])/24 - (17*t[79])/24 - (5*t[81])/16 + 
       (5*t[82])/16 - (55*t[83])/36 - t[84]/8 - (35*t[85])/288 + 
       (53*t[86])/72 - (65*t[87])/288 - (17*t[88])/576 + (269*t[89])/576 + 
       (5*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[v, w, u]*
      ((7*t[3])/6 - t[4]/6 + t[5] - 2*t[6] + (2*t[7])/3 + t[8]/3 - 
       (13*t[9])/6 - (11*t[10])/4 + (17*t[11])/6 - t[12]/4 + (13*t[13])/36 - 
       (215*t[14])/72 - (31*t[15])/36 - t[25]/3 + t[26]/3 - t[28] - t[31] + 
       t[35] + t[36] - t[39] + t[40] - t[45] - t[46]/3 + 2*t[47] - t[48]/2 + 
       t[49]/12 + (5*t[50])/6 + (11*t[51])/24 - (5*t[52])/6 - t[53]/12 - 
       (5*t[54])/3 - (3*t[60])/2 - (37*t[61])/6 - (49*t[62])/12 - 
       (43*t[63])/12 + (33*t[64])/4 + (19*t[65])/9 + 4*t[66] - 2*t[69] - 
       t[74] + 5*t[75] - t[77] - t[78] + 2*t[80] - t[81] + t[82] - 
       (13*t[83])/3 - t[84]/3 + t[85]/2 + (28*t[86])/3 + (17*t[87])/6 + 
       (17*t[88])/12 - (5*t[89])/4 + 2*t[100]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 0, 1}, 1 - w]*(t[3]/3 + (5*t[4])/6 + t[5]/6 - t[6]/2 - 
       t[7]/2 - (7*t[8])/6 - t[9]/2 + (7*t[10])/6 - (5*t[11])/6 + 2*t[12] - 
       (37*t[13])/18 - (13*t[14])/36 - t[15]/4 - (2*t[25])/3 + (2*t[26])/3 + 
       t[37] + t[46]/3 - t[48]/2 - t[49]/6 + t[50]/6 - (11*t[51])/36 - 
       t[52]/6 + t[53]/6 + (23*t[59])/9 - (11*t[60])/6 - (7*t[61])/2 + 
       (65*t[62])/36 + (19*t[63])/36 - (29*t[64])/12 - (61*t[65])/54 + 
       (23*t[66])/6 + 2*t[69] - t[70] + t[71] + (7*t[83])/6 - t[84]/2 + 
       t[85]/6 - (2*t[86])/3 + (7*t[87])/6 + (7*t[88])/9 - t[89]/12 + 
       2*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[w, v, u]*
      (-t[3]/6 + t[5]/3 - t[6]/12 - (2*t[7])/3 - (2*t[8])/3 - t[9]/2 + 
       (2*t[10])/3 - (7*t[11])/12 - t[12]/3 - t[13]/18 + (5*t[14])/36 + 
       t[15]/6 + (4*t[28])/3 - t[29]/3 + t[30]/3 - t[31] - 2*t[35] + 
       t[44]/3 + (3*t[48])/4 + t[50]/12 - t[52]/12 - t[54]/12 - t[60]/6 - 
       (5*t[61])/6 + (23*t[62])/12 + (7*t[63])/4 - (25*t[64])/12 + 
       (13*t[65])/18 + (11*t[66])/6 - t[72] - (4*t[83])/3 - t[84]/6 - 
       t[85]/6 - (8*t[86])/3 + t[87]/2 + t[88]/4 + (7*t[89])/12 + 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v]*
      ((5*t[4])/6 + (7*t[5])/48 - (2*t[7])/3 - (2*t[8])/3 - (7*t[9])/48 + 
       (5*t[10])/6 + (41*t[11])/24 - t[12]/16 + (17*t[13])/36 - (5*t[14])/9 + 
       (47*t[15])/288 - t[36]/2 + t[46]/4 + t[49]/12 + t[51]/16 - t[53]/12 - 
       t[54]/3 + t[59]/8 + (5*t[60])/6 - (13*t[61])/12 + (47*t[62])/24 - 
       (25*t[63])/8 - (47*t[64])/24 + (43*t[65])/36 - t[66]/4 + t[73]/2 + 
       t[74]/2 + (5*t[75])/2 - (17*t[83])/6 + t[84]/3 + t[85]/3 - 
       (8*t[86])/3 - t[87] - t[88]/2 + (17*t[89])/24 + 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*
      (-t[2]/24 + (5*t[3])/12 + (31*t[5])/48 + (5*t[6])/12 - (7*t[7])/6 - 
       (11*t[8])/12 + (5*t[9])/16 + (2*t[10])/3 - (17*t[11])/24 - 
       (25*t[12])/48 + (11*t[13])/72 + (29*t[14])/144 - (17*t[15])/96 + 
       (11*t[28])/6 + t[29]/6 - (2*t[30])/3 - t[35] - (2*t[44])/3 + 
       (3*t[48])/4 - (5*t[50])/12 + (5*t[52])/12 + (5*t[54])/12 + t[59]/8 + 
       (5*t[60])/6 - (13*t[61])/12 + (47*t[62])/24 - (25*t[63])/8 - 
       (47*t[64])/24 + (43*t[65])/36 - t[66]/4 + t[73]/2 + t[74]/2 + 
       (5*t[75])/2 - (17*t[83])/6 + t[84]/3 + t[85]/3 - (8*t[86])/3 - t[87] - 
       t[88]/2 + (17*t[89])/24 + 2*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*((10*t[4])/3 - (5*t[5])/12 + 
       (5*t[7])/6 + (5*t[8])/6 + (5*t[9])/12 - (7*t[10])/6 + (7*t[11])/2 + 
       (11*t[12])/4 + (26*t[13])/9 - (35*t[14])/36 + (35*t[15])/72 - 
       2*t[36] + t[49]/3 + t[51] - t[53]/3 - (4*t[54])/3 + (10*t[60])/3 - 
       (13*t[61])/3 + t[62]/6 - (27*t[63])/2 + (13*t[64])/6 + (35*t[65])/9 - 
       (13*t[66])/3 + 2*t[73] + 10*t[75] - 2*t[79] - (34*t[83])/3 + 
       (4*t[84])/3 + (4*t[85])/3 + (10*t[86])/3 - 6*t[87] - 3*t[88] + 
       (5*t[89])/6 + 2*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((4*t[3])/3 - (5*t[5])/12 + (5*t[6])/3 - 
       (7*t[7])/6 + (17*t[8])/6 + (11*t[9])/4 - (5*t[10])/6 - (5*t[11])/6 + 
       (5*t[12])/12 + (4*t[13])/9 - (31*t[14])/36 - (101*t[15])/72 + 
       (10*t[28])/3 + (8*t[29])/3 - (8*t[30])/3 - (14*t[44])/3 + 3*t[48] - 
       (5*t[50])/3 + (5*t[52])/3 + (5*t[54])/3 + (10*t[60])/3 - 
       (13*t[61])/3 + t[62]/6 - (27*t[63])/2 + (13*t[64])/6 + (35*t[65])/9 - 
       (13*t[66])/3 + 2*t[73] + 10*t[75] - 2*t[79] - (34*t[83])/3 + 
       (4*t[84])/3 + (4*t[85])/3 + (10*t[86])/3 - 6*t[87] - 3*t[88] + 
       (5*t[89])/6 + 2*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      Omega2[u, v, w]*(t[3]/3 + t[5]/3 + t[6]/6 - (2*t[7])/3 - (2*t[8])/3 + 
       (2*t[10])/3 - (5*t[11])/6 - t[12]/3 + t[13]/9 - (11*t[14])/18 - 
       t[15]/6 + (4*t[28])/3 + (2*t[29])/3 - (2*t[30])/3 - 2*t[31] - 
       4*t[35] - (2*t[44])/3 + (5*t[48])/2 - t[50]/6 + t[52]/6 + t[54]/6 + 
       t[60]/3 - (7*t[61])/3 + (13*t[62])/6 - (3*t[63])/2 - (11*t[64])/6 + 
       (11*t[65])/9 + t[66]/3 - 2*t[72] + 4*t[75] - (22*t[83])/3 + t[84]/3 + 
       t[85]/3 - (8*t[86])/3 - t[87] - t[88]/2 + (5*t[89])/6 + 2*t[100]) + 
     HPL[{1}, 1 - v]^2*Ot[u, v, w]*(t[3]/3 - t[4]/6 + (13*t[5])/24 - 
       (5*t[6])/16 - (5*t[7])/8 - (31*t[8])/24 - (7*t[9])/8 - (11*t[10])/24 - 
       (7*t[11])/48 + (5*t[12])/4 + (11*t[13])/72 - (49*t[14])/16 + 
       (25*t[15])/48 - (2*t[25])/3 + (2*t[26])/3 + t[46]/3 - (5*t[48])/16 - 
       (11*t[49])/12 + (17*t[50])/48 + (13*t[51])/24 - (17*t[52])/48 + 
       (11*t[53])/12 - (11*t[54])/16 + (19*t[60])/24 - (47*t[61])/8 + 
       (191*t[62])/48 - (131*t[63])/48 - (23*t[64])/48 + (4*t[65])/3 + 
       (65*t[66])/12 + t[73]/2 - t[74]/2 + (5*t[75])/2 - t[79]/2 - t[81]/4 + 
       t[82]/4 - (10*t[83])/3 + (7*t[85])/24 - (7*t[86])/6 - (35*t[87])/24 - 
       (35*t[88])/48 + (59*t[89])/48 + 2*t[100]) + 
     HPL[{1}, 1 - w]^2*Ot[u, v, w]*((-3*t[2])/8 + (5*t[3])/3 - (17*t[4])/24 + 
       t[5]/3 + (19*t[6])/12 - (17*t[7])/8 + (97*t[8])/24 - (61*t[9])/24 - 
       t[10]/48 - (71*t[11])/24 - (5*t[12])/48 - (10*t[13])/9 - 
       (163*t[14])/96 - (49*t[15])/72 + (2*t[20])/3 + (4*t[28])/3 + t[29]/2 - 
       (2*t[30])/3 + (2*t[33])/3 + t[35] - (2*t[44])/3 + (23*t[48])/12 - 
       t[49]/48 - (19*t[50])/12 + t[51]/96 + (19*t[52])/12 + t[53]/48 + 
       (13*t[54])/8 + (19*t[60])/24 - (47*t[61])/8 + (191*t[62])/48 - 
       (131*t[63])/48 - (23*t[64])/48 + (4*t[65])/3 + (65*t[66])/12 + 
       t[73]/2 - t[74]/2 + (5*t[75])/2 - t[79]/2 - t[81]/4 + t[82]/4 - 
       (10*t[83])/3 + (7*t[85])/24 - (7*t[86])/6 - (35*t[87])/24 - 
       (35*t[88])/48 + (59*t[89])/48 + 2*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*
      ((-15*t[2])/8 - (11*t[3])/24 - (13*t[4])/6 + (21*t[5])/8 - 
       (53*t[6])/12 + (51*t[7])/8 - (235*t[8])/24 - (19*t[9])/12 - 
       (53*t[10])/24 + (31*t[11])/8 - t[12]/6 - (17*t[13])/16 - (4*t[14])/9 - 
       (85*t[15])/144 - (2*t[20])/3 + t[24] - (17*t[28])/6 - t[29] + 
       (2*t[30])/3 - (5*t[31])/6 + t[32] - (5*t[33])/3 - 3*t[35] + t[36] + 
       t[37]/2 + t[41]/4 - t[42]/4 + (7*t[43])/12 + (13*t[44])/6 + t[47]/2 - 
       (73*t[48])/24 - t[49]/3 + (31*t[50])/8 + t[51]/3 - (31*t[52])/8 + 
       t[53]/3 - (85*t[54])/24 - (43*t[60])/12 + (63*t[61])/4 - 8*t[62] + 
       (41*t[63])/12 + (257*t[64])/12 - (161*t[65])/12 - (295*t[66])/36 - 
       t[73] - (7*t[75])/2 - t[77] - t[78] - (9*t[79])/4 + (3*t[80])/2 - 
       t[81]/2 - t[82]/3 + (73*t[83])/12 - (5*t[84])/3 - (5*t[85])/4 + 
       (37*t[86])/12 + (83*t[87])/12 + (83*t[88])/24 - (115*t[89])/24 - 
       2*t[99] + 2*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - u]*((3*t[3])/2 - (175*t[4])/72 + (593*t[5])/288 - 
       (55*t[6])/32 + (59*t[7])/72 + (77*t[8])/72 - (719*t[9])/288 - 
       (383*t[10])/144 + (59*t[11])/96 - (49*t[12])/96 - (215*t[13])/216 - 
       (541*t[14])/216 - (1025*t[15])/1728 - t[25]/4 + t[26]/4 + t[27]/4 - 
       (3*t[28])/4 - (3*t[31])/4 + t[35]/2 + (3*t[36])/4 - (3*t[39])/4 + 
       (3*t[40])/4 - t[45]/2 - t[46]/8 + t[47] - (21*t[48])/32 + 
       (13*t[49])/144 + (11*t[50])/32 - (5*t[51])/12 - (11*t[52])/32 - 
       (13*t[53])/144 + (25*t[54])/288 - (629*t[60])/144 - (811*t[61])/144 - 
       (125*t[62])/72 + (91*t[63])/24 + (4045*t[64])/288 + (545*t[65])/432 + 
       (1255*t[66])/144 + t[69]/12 - t[72]/4 - t[73]/2 - t[74] - 
       (41*t[75])/12 - (3*t[77])/4 - t[78] + t[79] + (3*t[80])/4 - 
       (5*t[81])/8 + (11*t[82])/8 + (247*t[83])/72 - (14*t[84])/9 - 
       (17*t[85])/144 + (131*t[86])/18 + (203*t[87])/48 + (227*t[88])/96 - 
       t[89]/288 - t[99]/2 + (13*t[100])/6) + HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^4*(-t[1]/8 - (39*t[2])/64 + t[3]/16 - (71*t[4])/192 - 
       (101*t[5])/192 - (35*t[6])/96 + (93*t[7])/64 - (77*t[8])/192 - 
       (19*t[9])/48 - (101*t[10])/128 + (155*t[11])/192 + (33*t[12])/128 - 
       (223*t[13])/576 - (1067*t[14])/2304 - (257*t[15])/1152 + t[20]/12 + 
       t[24]/8 - (5*t[28])/24 - t[29]/16 + t[30]/24 + t[31]/3 + t[32]/4 - 
       t[33]/6 + (5*t[35])/8 + t[36]/2 + (3*t[37])/8 + t[41]/16 - t[42]/16 + 
       (17*t[43])/48 + (7*t[44])/24 + t[47]/8 - (7*t[48])/24 - 
       (53*t[49])/128 + (5*t[50])/48 + (175*t[51])/768 - (5*t[52])/48 + 
       (53*t[53])/128 - (37*t[54])/192 - (45*t[60])/64 + (47*t[61])/64 - 
       (113*t[62])/384 + (397*t[63])/384 + (1591*t[64])/384 - (43*t[65])/32 + 
       (61*t[66])/144 - t[72]/4 + (5*t[73])/16 - (5*t[74])/16 + 
       (3*t[75])/16 - t[77]/4 - t[78]/4 - (7*t[79])/4 - t[80]/8 - 
       (7*t[81])/32 - (31*t[82])/96 + t[83]/3 - (25*t[84])/48 + 
       (29*t[85])/192 + t[86]/2 + (101*t[87])/64 + (101*t[88])/128 + 
       (281*t[89])/384 + (9*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u]*((-27*t[2])/16 + (17*t[3])/4 - 4*t[4] + 
       (145*t[5])/96 - (23*t[6])/12 + (9*t[7])/4 + t[8]/3 - (125*t[9])/96 - 
       (59*t[10])/48 - (47*t[11])/12 + (77*t[12])/96 - (271*t[13])/72 - 
       (805*t[14])/288 - (4721*t[15])/1728 + t[20]/4 - t[22]/4 - 
       (5*t[28])/3 - (5*t[29])/4 + (3*t[30])/4 + t[31]/6 + (3*t[32])/4 - 
       (3*t[33])/4 + (4*t[35])/3 + (3*t[36])/4 + t[37]/4 + t[41]/8 - 
       t[42]/8 + t[43]/4 + (7*t[44])/12 - t[46]/8 + t[47]/4 - (7*t[48])/48 - 
       (5*t[49])/16 - (7*t[50])/48 + t[51]/16 + (7*t[52])/48 + (5*t[53])/16 - 
       (5*t[54])/48 - (199*t[60])/48 - (277*t[61])/48 - (11*t[62])/6 + 
       3*t[63] + (1363*t[64])/96 + (23*t[65])/16 + (1219*t[66])/144 + 
       t[69]/4 - t[72]/12 - t[73]/3 - t[74] - (13*t[75])/4 - (3*t[77])/4 - 
       t[78] + (5*t[79])/6 + (3*t[80])/4 - (5*t[81])/8 + (11*t[82])/8 + 
       (29*t[83])/8 - (3*t[84])/2 - t[85]/16 + (23*t[86])/3 + 
       (187*t[87])/48 + (211*t[88])/96 + t[89]/96 - t[99]/2 + (9*t[100])/4) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((-5*t[1])/48 + t[2]/12 + (5*t[3])/36 + (29*t[4])/32 - 
       (1355*t[5])/288 + (89*t[6])/288 + (677*t[7])/96 + (115*t[8])/32 + 
       t[9]/16 - (5623*t[10])/576 + (1313*t[11])/288 - (1061*t[12])/576 - 
       (551*t[13])/288 + (9743*t[14])/3456 - (1367*t[15])/432 + t[20]/6 + 
       t[24]/4 + t[26]/8 - t[27]/6 - (4*t[28])/3 + t[29]/24 - t[30]/12 - 
       (5*t[31])/36 + t[32]/2 - t[33]/3 - t[34]/24 + (41*t[35])/12 + 
       (19*t[36])/12 + t[37] - t[38]/24 - (9*t[39])/8 + t[40] + 
       (7*t[41])/48 - (7*t[42])/48 - t[43]/9 + (5*t[44])/12 - t[45] - 
       (7*t[46])/16 + (9*t[47])/4 - (37*t[48])/32 + (665*t[49])/576 + 
       (467*t[50])/288 - (343*t[51])/384 - (263*t[52])/288 - 
       (761*t[53])/576 - (557*t[54])/288 + t[58]/8 - (7*t[59])/48 - 
       (1493*t[60])/288 - (41*t[61])/48 - (8663*t[62])/576 + (515*t[63])/64 + 
       (5443*t[64])/192 - (179*t[65])/36 - (329*t[66])/108 - t[69]/12 + 
       t[72]/3 - (7*t[73])/12 - (13*t[74])/8 + (2*t[75])/3 - (31*t[76])/24 - 
       (13*t[77])/8 - 2*t[78] - (26*t[79])/3 + (2*t[80])/3 - (21*t[81])/8 - 
       (73*t[82])/72 + (61*t[83])/12 - (77*t[84])/72 + (121*t[85])/36 + 
       (172*t[86])/9 + (2287*t[87])/288 + (2479*t[88])/576 + 
       (469*t[89])/192 - t[96]/2 - (11*t[97])/24 - (103*t[98])/12 + 
       (37*t[99])/4 + (55*t[100])/24) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((19*t[1])/18 - (59*t[2])/144 + 2*t[3] + 
       (467*t[4])/288 + (785*t[5])/144 - (179*t[6])/144 + (41*t[7])/12 + 
       (133*t[8])/18 - (665*t[9])/144 - (2267*t[10])/576 - (41*t[11])/18 - 
       (8131*t[12])/576 - (27529*t[13])/2592 + (44815*t[14])/3456 - 
       (5947*t[15])/1728 + t[16]/2 - t[19]/18 + (11*t[25])/6 - (3*t[26])/2 - 
       (5*t[27])/6 - (11*t[28])/6 + (5*t[29])/6 - (5*t[30])/6 + t[31]/3 + 
       t[32]/2 - t[33]/2 - t[34]/9 + 6*t[35] + (17*t[36])/18 - (13*t[37])/6 - 
       t[38]/3 - (29*t[39])/18 + 2*t[40] + t[41]/18 - t[42]/18 + t[43]/6 - 
       t[44]/3 - (3*t[45])/2 + (173*t[46])/72 + (7*t[47])/2 + 
       (377*t[48])/144 + (3055*t[49])/576 + (89*t[50])/144 - 
       (12211*t[51])/1152 - (35*t[52])/48 - (5903*t[53])/576 + 
       (265*t[54])/288 - (265*t[59])/108 + (307*t[60])/32 + 
       (2861*t[61])/288 - (14557*t[62])/576 + (5047*t[63])/192 + 
       (11231*t[64])/576 - (15257*t[65])/864 + (10273*t[66])/864 + t[67]/12 - 
       (5*t[69])/3 + (2*t[70])/3 - (2*t[71])/3 - (7*t[72])/6 - (19*t[73])/4 + 
       (20*t[74])/9 - (21*t[75])/4 - (17*t[76])/18 - (77*t[77])/36 + 
       (4*t[78])/9 - (4*t[79])/3 + (11*t[80])/9 - (55*t[81])/24 + 
       (23*t[82])/8 + (34*t[83])/3 - (985*t[84])/288 - (1267*t[85])/288 + 
       (58*t[86])/3 - (181*t[87])/288 - (199*t[88])/192 - (2879*t[89])/576 + 
       (8*t[95])/9 + t[96]/3 + (2*t[97])/9 - (83*t[98])/6 + (71*t[99])/6 + 
       (29*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[v, w, u]*
      ((7*t[4])/6 + t[5]/24 - t[7]/12 - t[8]/12 - t[9]/24 - t[10]/3 + 
       t[11]/4 - t[12]/8 + (11*t[13])/18 - (7*t[14])/9 + (29*t[15])/144 - 
       t[36] + (5*t[49])/12 + t[51]/8 - (5*t[53])/12 - t[54]/6 + 
       (7*t[60])/6 - (5*t[61])/3 + (4*t[62])/3 - 3*t[63] - (7*t[64])/6 + 
       (16*t[65])/9 + t[66]/3 + t[69] + t[73] + t[75] - t[79] - t[83]/6 + 
       t[84]/6 + t[85]/6 - t[86]/3 - (3*t[87])/2 - (3*t[88])/4 + 
       (2*t[89])/3 + (5*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w]*(-t[1] + (107*t[2])/32 - (235*t[3])/36 + 
       (1027*t[4])/72 + (2327*t[5])/288 + (3139*t[6])/144 - (1175*t[7])/96 + 
       (3649*t[8])/288 - (191*t[9])/36 - (1391*t[10])/288 + (179*t[11])/36 + 
       (793*t[12])/144 + (967*t[13])/216 + (1093*t[14])/72 + 
       (6223*t[15])/864 + (3*t[19])/2 - t[20]/36 - t[22]/2 - (5*t[24])/12 + 
       (17*t[28])/18 - t[29]/12 - (23*t[30])/36 + (21*t[31])/4 - 2*t[32] + 
       (53*t[33])/36 - (7*t[35])/4 - (3*t[36])/2 + t[37] + t[41]/4 - 
       t[42]/4 + (17*t[43])/12 - (53*t[44])/36 + t[45]/2 - t[46]/4 - t[47] + 
       (283*t[48])/72 - (29*t[49])/72 - (161*t[50])/18 - (161*t[51])/288 + 
       (161*t[52])/18 + (29*t[53])/72 + (28*t[54])/3 + t[59]/4 + 
       (131*t[60])/9 + (607*t[61])/24 + (5813*t[62])/144 + (565*t[63])/144 - 
       (7205*t[64])/144 - (853*t[65])/144 - (835*t[66])/48 + t[69]/2 - 
       (3*t[72])/2 + (29*t[73])/12 + (7*t[74])/24 - (5*t[75])/4 + 2*t[77] + 
       2*t[78] + (91*t[79])/24 - 11*t[80] + (25*t[81])/24 - (5*t[82])/24 - 
       (361*t[83])/36 + (53*t[84])/16 + (245*t[85])/36 - (3595*t[86])/72 - 
       (869*t[87])/72 - (869*t[88])/144 + (833*t[89])/144 + t[99] + 
       (61*t[100])/24) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(-t[1]/4 + (3*t[2])/8 - (17*t[3])/6 - (5*t[4])/16 + 
       (3*t[5])/32 + (47*t[6])/24 - (53*t[7])/16 + (53*t[8])/16 - 
       (257*t[9])/96 - (251*t[10])/96 - (9*t[11])/8 - (11*t[12])/16 - 
       (13*t[13])/48 + (1703*t[14])/576 + (289*t[15])/192 + (2*t[28])/3 - 
       t[29]/6 - t[30]/3 - t[32]/2 + t[33]/2 + (7*t[36])/6 + t[37]/2 - 
       t[39]/2 + t[40]/2 - (5*t[44])/6 - t[45]/2 - (3*t[46])/4 + t[47] + 
       t[48] - (31*t[49])/96 - (5*t[50])/6 - (3*t[51])/64 + (5*t[52])/6 + 
       (31*t[53])/96 + (83*t[54])/48 - (23*t[60])/24 + (53*t[61])/12 + 
       (65*t[62])/16 + (101*t[63])/48 - (13*t[64])/6 - (73*t[65])/24 + 
       (23*t[66])/36 - t[69]/6 - t[72] + (7*t[73])/12 - (5*t[75])/4 - 
       (25*t[79])/12 - t[80] - t[82] + (10*t[83])/3 - (2*t[84])/3 + t[85]/3 - 
       (25*t[86])/4 + (29*t[87])/12 + (29*t[88])/24 + (4*t[89])/3 + 2*t[99] + 
       (11*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      (-t[1]/8 + (3*t[2])/8 - (23*t[3])/12 - (59*t[4])/96 + (7*t[5])/192 + 
       (5*t[6])/16 - (47*t[7])/96 + (57*t[8])/32 - (65*t[9])/64 - 
       (367*t[10])/192 - (3*t[11])/8 + t[12]/24 - (413*t[13])/864 + 
       (133*t[14])/384 + (319*t[15])/384 + t[28]/3 - t[29]/12 - t[30]/6 - 
       t[32]/4 + t[33]/4 - t[35]/6 + t[36]/2 + t[37]/4 - t[39]/4 + t[40]/4 + 
       t[43]/12 - t[44]/12 - t[45]/4 - (3*t[46])/8 + t[47]/2 + (5*t[48])/24 - 
       (43*t[49])/192 - t[50]/8 + (67*t[51])/384 + t[52]/8 + (43*t[53])/192 + 
       (17*t[54])/32 - (43*t[60])/48 + (9*t[61])/8 + (35*t[62])/96 - 
       (59*t[63])/96 + (11*t[64])/6 - (103*t[65])/144 + (3*t[66])/4 + 
       t[69]/4 - t[72]/2 + (23*t[73])/24 - t[75]/8 - t[76]/12 - t[77]/4 - 
       t[78]/12 - (37*t[79])/24 - t[80]/6 - t[81]/4 - t[82]/4 + t[83] - 
       (5*t[84])/12 + (5*t[85])/24 + (5*t[86])/24 + (3*t[87])/2 + 
       (3*t[88])/4 + t[89]/4 - t[98]/2 + t[99]/2 + (23*t[100])/8) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - u]*(-t[1]/48 + t[2]/2 - 
       (2471*t[3])/576 - (1297*t[4])/288 - (8465*t[5])/1152 - (307*t[6])/64 + 
       (67*t[7])/48 + (61*t[8])/36 + (5701*t[9])/384 + (6067*t[10])/288 - 
       (275*t[11])/288 + (3043*t[12])/384 - (1349*t[13])/432 + 
       (6719*t[14])/1152 - (1219*t[15])/2304 - t[21] + t[23] - (5*t[25])/36 + 
       (5*t[26])/36 - t[37]/8 - t[40]/4 + t[41] - t[42] - (171*t[43])/64 + 
       (93*t[45])/32 + (59*t[46])/72 - (21*t[47])/16 - (161*t[48])/192 - 
       (367*t[49])/288 + (749*t[50])/576 + (161*t[51])/576 - 
       (749*t[52])/576 + (367*t[53])/288 - (71*t[54])/192 - (11*t[59])/12 - 
       (653*t[60])/288 + (229*t[61])/48 - (2275*t[62])/576 + 
       (4447*t[63])/576 - (16937*t[64])/576 + (37*t[65])/32 + 
       (3253*t[66])/288 - t[67]/48 + t[69]/6 + (11*t[70])/24 - 
       (25*t[71])/48 - t[72]/4 + (5*t[73])/24 + (31*t[74])/24 + (3*t[75])/8 + 
       t[77]/4 - (23*t[79])/24 - (47*t[80])/4 - (5*t[81])/48 + (5*t[82])/48 + 
       (89*t[83])/144 + t[84]/8 + (175*t[85])/288 - (329*t[86])/36 - 
       (71*t[87])/288 - (71*t[88])/576 - (1543*t[89])/576 + (35*t[100])/12) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      ((21*t[2])/4 + (15*t[3])/4 - (43*t[4])/4 - (51*t[5])/8 - (41*t[6])/16 - 
       (7*t[7])/4 + (21*t[8])/4 + (33*t[9])/4 - (3*t[10])/8 - 
       (147*t[11])/16 + 2*t[12] - (161*t[13])/12 + (143*t[14])/24 - 
       (89*t[15])/36 - t[20] + t[22] - 2*t[28] + t[29]/2 - 2*t[30] - 
       2*t[31] + t[32] - t[33] + t[37] + 2*t[39] - (5*t[40])/2 - t[41]/2 + 
       t[42]/2 - t[44] - t[47] - (51*t[48])/16 - t[49]/8 - (35*t[50])/16 - 
       (7*t[51])/16 + (35*t[52])/16 + t[53]/8 + (3*t[54])/16 + (3*t[59])/2 - 
       (61*t[60])/8 + (39*t[61])/8 - (409*t[62])/16 - (47*t[63])/16 + 
       (179*t[64])/16 - (179*t[65])/24 - (395*t[66])/24 + t[69] + 3*t[72] - 
       7*t[75] - 2*t[76] - t[77] + 2*t[78] + 4*t[79] - 3*t[80] + 
       (3*t[81])/2 - t[82]/2 + 22*t[83] - (9*t[84])/8 - (15*t[85])/8 + 
       30*t[86] + (105*t[87])/8 + (105*t[88])/16 - (183*t[89])/16 + 
       3*t[100]) + B6[w, v, u]*HPL[{1}, 1 - w]*((3*t[2])/2 + t[3]/2 - 
       (5*t[4])/4 + t[5]/4 - 2*t[6] + (7*t[7])/2 - 7*t[8] + (3*t[9])/4 + 
       (5*t[10])/8 - (3*t[11])/4 - t[12]/8 - (5*t[13])/3 - (13*t[14])/48 - 
       (7*t[15])/12 + 2*t[44] - (3*t[48])/2 - t[49]/8 + (3*t[50])/2 + 
       t[51]/16 - (3*t[52])/2 + t[53]/8 - (5*t[54])/4 - t[59]/2 - t[60]/4 - 
       (15*t[61])/4 - (9*t[62])/8 + (13*t[63])/8 - (23*t[64])/8 - 
       (11*t[65])/6 + 3*t[66] + t[73] - t[75] - t[81]/2 + t[82]/2 - t[84]/2 - 
       t[85]/4 + t[87]/4 + t[88]/8 - (13*t[89])/8 + 3*t[100]) + 
     B6[v, w, u]*HPL[{1}, 1 - v]*(t[1] + t[3]/2 + t[5] - (3*t[6])/8 - 
       t[7]/2 - (3*t[8])/2 - (3*t[9])/2 + (5*t[10])/2 - (7*t[11])/8 - 
       (11*t[12])/4 - (13*t[13])/6 + (5*t[14])/12 - (5*t[15])/12 - t[25] + 
       t[38] + t[46]/2 - (3*t[48])/8 - t[49]/2 + (5*t[50])/8 - (5*t[51])/8 - 
       (5*t[52])/8 - t[53]/2 - (5*t[54])/8 - t[59]/2 - t[60]/4 - 
       (15*t[61])/4 - (9*t[62])/8 + (13*t[63])/8 - (23*t[64])/8 - 
       (11*t[65])/6 + 3*t[66] + t[73] - t[75] - t[81]/2 + t[82]/2 - t[84]/2 - 
       t[85]/4 + t[87]/4 + t[88]/8 - (13*t[89])/8 + 3*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*
      ((25*t[3])/6 - (14*t[4])/3 + t[5]/4 - (11*t[6])/12 + (10*t[7])/3 + 
       (5*t[8])/3 + (35*t[9])/12 - 3*t[10] - (9*t[11])/4 + (13*t[12])/12 - 
       (11*t[13])/4 - (23*t[14])/18 - (73*t[15])/24 + t[20]/3 + 3*t[28] + 
       (2*t[29])/3 - 3*t[30] + 2*t[31] + t[32] - (2*t[33])/3 + 5*t[35] + 
       t[36] + t[43]/2 - 2*t[44] + t[48]/12 - (2*t[49])/3 - (7*t[50])/12 + 
       t[51]/3 + (7*t[52])/12 + (2*t[53])/3 + (11*t[54])/12 + (7*t[60])/6 - 
       (47*t[61])/6 - (21*t[62])/4 - (157*t[63])/12 + (121*t[64])/12 + 
       (38*t[65])/9 + t[66] + 2*t[72] + 2*t[73] - t[74] + 7*t[75] - t[77] - 
       t[78] - 2*t[79] + 2*t[80] - t[81] + t[82] - 2*t[83] + t[84]/3 + 
       (7*t[85])/6 + 14*t[86] - (7*t[87])/6 - (7*t[88])/12 - (13*t[89])/12 + 
       3*t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - u]*
      (t[3]/2 + t[4]/2 + (5*t[5])/2 + (3*t[6])/8 - (3*t[7])/4 - (7*t[8])/4 - 
       3*t[9] - (11*t[10])/4 - (25*t[11])/8 + (39*t[12])/4 - (17*t[13])/6 - 
       (39*t[14])/8 + (3*t[15])/2 - t[25] + t[26] + 3*t[37] - t[46] + 
       (3*t[48])/8 - t[49] + (11*t[50])/8 + (7*t[51])/4 - (11*t[52])/8 + 
       t[53] - (15*t[54])/8 + 3*t[59] + (7*t[60])/4 - (57*t[61])/4 + 
       (59*t[62])/8 + t[63]/8 - (47*t[64])/8 + t[65] + (37*t[66])/2 + 
       6*t[69] - 3*t[70] + 3*t[71] + 3*t[73] - 3*t[74] + 3*t[75] - 3*t[79] - 
       (3*t[81])/2 + (3*t[82])/2 - (13*t[83])/2 - (5*t[85])/4 - t[86] - 
       (11*t[87])/4 - (11*t[88])/8 - t[89]/8 + 3*t[100]) + 
     B5[w, v, u]*HPL[{1}, 1 - w]*((3*t[2])/2 - t[4]/2 + t[5]/4 - t[6]/2 + 
       t[7]/2 - t[8]/2 - t[9]/4 + t[10]/4 - (3*t[11])/2 - t[12]/2 - 
       (13*t[13])/12 + (7*t[14])/24 - (17*t[15])/24 + t[49]/4 - t[51]/8 - 
       t[53]/4 - t[54]/2 - t[59]/2 + t[60]/2 - 4*t[61] + (7*t[62])/4 + 
       t[63]/4 - t[64]/4 - (5*t[65])/6 + (19*t[66])/6 + t[83] - t[84]/2 + 
       t[85]/2 - t[87]/2 - t[88]/4 + t[89]/4 + 3*t[100]) + 
     B5[v, w, u]*HPL[{1}, 1 - v]*(t[1] + t[3]/2 + t[4] + t[5]/4 - 
       (3*t[6])/4 - t[7]/2 - (3*t[8])/2 - (3*t[9])/4 + (3*t[10])/2 - 
       (5*t[11])/4 - (13*t[12])/4 - (3*t[13])/4 - (4*t[14])/3 - 
       (7*t[15])/24 - t[25] + t[38] - (3*t[48])/4 + t[50]/4 - t[52]/4 - 
       t[53] - t[54]/4 - t[59]/2 + t[60]/2 - 4*t[61] + (7*t[62])/4 + 
       t[63]/4 - t[64]/4 - (5*t[65])/6 + (19*t[66])/6 + t[83] - t[84]/2 + 
       t[85]/2 - t[87]/2 - t[88]/4 + t[89]/4 + 3*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-2*t[3])/3 - t[4]/3 - t[5]/4 + (7*t[6])/6 - (3*t[7])/2 + (5*t[8])/2 + 
       (19*t[9])/12 - (2*t[10])/3 - (7*t[11])/3 - (7*t[12])/12 - 
       (4*t[13])/9 + (10*t[14])/9 - (11*t[15])/72 + (10*t[28])/3 + 
       (2*t[29])/3 - (2*t[30])/3 + 2*t[31] + 4*t[35] - (8*t[44])/3 - 
       t[48]/2 + t[49]/6 - (7*t[50])/6 - t[51]/4 + (7*t[52])/6 - t[53]/6 + 
       (3*t[54])/2 + 2*t[60] - t[61] + t[62]/2 - (9*t[63])/2 + (3*t[64])/2 - 
       t[65]/3 + t[66]/3 - 2*t[69] + 2*t[72] + 2*t[73] + 2*t[75] - 2*t[79] - 
       3*t[83] + 2*t[86] - 2*t[87] - t[88] + t[89]/2 + 3*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[w, u, v]*
      (3*t[4] - t[5]/4 + t[7]/2 + t[8]/2 + t[9]/4 - t[10] + (5*t[11])/2 + 
       (7*t[12])/4 + (7*t[13])/3 - (5*t[14])/2 + (11*t[15])/24 - 2*t[36] + 
       t[49]/2 + (3*t[51])/4 - t[53]/2 - t[54] + 3*t[60] - 4*t[61] + t[62] - 
       11*t[63] + (10*t[65])/3 - (8*t[66])/3 + 2*t[69] + 2*t[73] + 6*t[75] - 
       2*t[79] - 5*t[83] + t[84] + t[85] + 2*t[86] - 5*t[87] - (5*t[88])/2 + 
       t[89] + 3*t[100]) + B6[w, u, v]*HPL[{1}, 1 - v]*
      ((-3*t[4])/2 + t[5]/8 - t[6]/2 - t[9]/8 - t[10]/4 - (5*t[11])/4 + 
       t[12]/8 + (2*t[13])/3 - (19*t[14])/8 + (5*t[15])/48 + t[36] + 
       t[46]/2 - t[49]/4 - t[51]/4 + t[53]/4 - t[54]/2 - (3*t[60])/2 - 
       2*t[61] + t[62]/2 + t[63]/2 + 3*t[64] + (5*t[65])/3 + t[66] - t[72] + 
       t[73] - t[74] - t[75] - t[83] - t[84]/2 + t[85]/2 + (3*t[87])/2 + 
       (3*t[88])/4 + t[89] + 3*t[100]) + B6[v, u, w]*HPL[{1}, 1 - w]*
      ((-3*t[2])/4 - (3*t[5])/8 + (3*t[6])/4 - 2*t[7] + t[8]/2 - 
       (11*t[9])/8 + t[10] - (3*t[11])/2 + (13*t[12])/8 + t[13]/3 - 
       (23*t[14])/24 - (3*t[15])/16 - t[24] + (3*t[48])/4 - (5*t[50])/4 + 
       (5*t[52])/4 + (5*t[54])/4 - (3*t[60])/2 - 2*t[61] + t[62]/2 + 
       t[63]/2 + 3*t[64] + (5*t[65])/3 + t[66] - t[72] + t[73] - t[74] - 
       t[75] - t[83] - t[84]/2 + t[85]/2 + (3*t[87])/2 + (3*t[88])/4 + 
       t[89] + 3*t[100]) + B5[w, u, v]*HPL[{1}, 1 - w]*
      (-t[2]/2 + t[3]/2 + t[4]/2 + (3*t[5])/4 - (3*t[7])/2 - (3*t[8])/2 - 
       (3*t[9])/4 - t[10]/4 - (3*t[11])/2 - (3*t[12])/2 - (31*t[14])/24 - 
       t[15]/24 - t[41]/2 + t[42]/2 + (3*t[49])/4 - (3*t[51])/8 - 
       (3*t[53])/4 - t[54]/2 - t[59]/2 - t[60]/2 - 6*t[61] + (23*t[62])/4 + 
       t[63]/4 - (9*t[64])/4 - t[65]/6 + (11*t[66])/6 - t[72] - t[83] - 
       t[84]/2 + t[85]/2 - 4*t[86] - t[87]/2 - t[88]/4 + (5*t[89])/4 + 
       3*t[100]) + B5[v, u, w]*HPL[{1}, 1 - v]*(-t[1]/2 + t[3]/2 + t[5]/4 - 
       t[6]/4 - (3*t[7])/2 - (5*t[8])/2 - (3*t[9])/4 - (3*t[10])/2 - 
       (7*t[11])/4 + (3*t[12])/4 - t[13]/12 - (3*t[14])/2 - (11*t[15])/24 + 
       t[31] - t[48]/4 - t[50]/4 + t[52]/4 + t[54]/4 - t[59]/2 - t[60]/2 - 
       6*t[61] + (23*t[62])/4 + t[63]/4 - (9*t[64])/4 - t[65]/6 + 
       (11*t[66])/6 - t[72] - t[83] - t[84]/2 + t[85]/2 - 4*t[86] - t[87]/2 - 
       t[88]/4 + (5*t[89])/4 + 3*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      Omega2[w, u, v]*((3*t[2])/4 - 5*t[3] + (23*t[4])/4 + 3*t[5] + 
       (11*t[6])/4 - (33*t[7])/4 - (13*t[8])/4 - (13*t[9])/4 + (27*t[10])/8 + 
       (3*t[11])/2 - (25*t[12])/8 + (85*t[13])/18 + (155*t[14])/48 + 
       (107*t[15])/36 + t[24] + 5*t[28] - t[29] + t[30] - 3*t[31] - t[32] + 
       t[33] - 9*t[35] - t[36] - t[43]/2 - t[44] + (13*t[48])/4 + 
       (7*t[49])/8 - (3*t[50])/4 - (7*t[51])/16 + (3*t[52])/4 - (7*t[53])/8 + 
       (9*t[60])/4 + (25*t[61])/4 + (97*t[62])/8 + (3*t[63])/8 - 
       (121*t[64])/8 + (2*t[65])/3 - (11*t[66])/2 - 2*t[72] - t[73] + 
       2*t[74] + 2*t[75] + t[77] + t[78] + t[79] - 2*t[80] + (3*t[81])/2 - 
       (3*t[82])/2 - 9*t[83] + t[84] - (3*t[85])/4 - 23*t[86] - (9*t[87])/4 - 
       (9*t[88])/8 + (29*t[89])/8 + 3*t[100]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-t[1] + (7*t[2])/2 - 9*t[3] - (213*t[4])/4 + 
       (283*t[5])/4 + (181*t[6])/8 + (25*t[7])/4 - (141*t[8])/4 - 
       (13*t[9])/4 - (605*t[10])/8 + (343*t[11])/8 + (63*t[12])/8 + 
       (2539*t[13])/36 + (1729*t[14])/48 + (100*t[15])/9 - 4*t[25] + 
       8*t[26] - 6*t[27] + 8*t[28] + 6*t[29] - 16*t[30] + 4*t[31] - 2*t[32] + 
       2*t[33] - 2*t[34] - 4*t[35] + 26*t[36] + 4*t[37] - 3*t[38] - t[39] - 
       3*t[40] + t[41] - t[42] + (91*t[43])/4 + 7*t[44] - (25*t[45])/2 + 
       17*t[46] + 23*t[47] - (9*t[48])/8 + (99*t[49])/8 - (93*t[50])/8 - 
       (439*t[51])/16 + (141*t[52])/8 + (29*t[53])/8 + (87*t[54])/8 + 
       4*t[59] + 14*t[60] + 30*t[61] + (281*t[62])/4 - (97*t[63])/4 + 
       75*t[64] + (11*t[65])/6 - 105*t[66] + 12*t[68] - 8*t[70] + 8*t[71] - 
       18*t[72] + 98*t[73] - 24*t[74] - 98*t[75] + 49*t[76] + 8*t[77] - 
       52*t[78] + 22*t[79] + 100*t[80] + 19*t[81] - 11*t[82] - 64*t[83] + 
       27*t[84] + (43*t[85])/2 - 70*t[86] - (161*t[87])/2 - (231*t[88])/4 + 
       (229*t[89])/4 + 8*t[95] + 8*t[96] + 672*t[98] - 864*t[99] + 
       3*t[100]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-83*t[2])/2 + 30*t[3] + (225*t[4])/4 - (9*t[5])/4 + (221*t[6])/8 + 
       (47*t[7])/4 - (95*t[8])/4 + (187*t[9])/4 - (593*t[10])/8 + 
       (519*t[11])/8 + (319*t[12])/8 + (563*t[13])/12 + (445*t[14])/48 - 
       (1355*t[15])/36 - 10*t[27] + 14*t[28] + (9*t[29])/2 + 12*t[30] - 
       t[32] - 16*t[33] - 2*t[34] + 24*t[35] + 2*t[36] - 2*t[37] + t[38] + 
       (43*t[39])/2 - (33*t[40])/2 + (45*t[43])/4 + (35*t[44])/2 - 
       (75*t[45])/2 - 5*t[46] + 75*t[47] + (275*t[48])/8 + (11*t[49])/8 - 
       (237*t[50])/8 + (45*t[51])/16 + (157*t[52])/8 + (21*t[53])/8 + 
       (115*t[54])/8 + 4*t[59] + 14*t[60] + 30*t[61] + (281*t[62])/4 - 
       (97*t[63])/4 + 75*t[64] + (11*t[65])/6 - 105*t[66] + 12*t[68] - 
       8*t[70] + 8*t[71] - 18*t[72] + 98*t[73] - 24*t[74] - 98*t[75] + 
       49*t[76] + 8*t[77] - 52*t[78] + 22*t[79] + 100*t[80] + 19*t[81] - 
       11*t[82] - 64*t[83] + 27*t[84] + (43*t[85])/2 - 70*t[86] - 
       (161*t[87])/2 - (231*t[88])/4 + (229*t[89])/4 + 8*t[95] + 8*t[96] + 
       672*t[98] - 864*t[99] + 3*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*(3*t[1] - (7*t[3])/4 - 
       (69*t[4])/2 + t[5]/2 - (11*t[6])/8 - t[7] - (27*t[8])/2 - 
       (23*t[9])/4 + (67*t[10])/2 - (159*t[11])/8 - (17*t[12])/2 - 
       (659*t[13])/24 + (215*t[14])/24 + t[15]/6 - 2*t[16] - 8*t[25] + 
       8*t[26] - 8*t[28] - 4*t[29] + t[30] + 3*t[31] - 3*t[35] + t[36] - 
       6*t[37] + 3*t[39] - 3*t[40] + 7*t[44] + 3*t[45] + 10*t[46] - 6*t[47] - 
       (63*t[48])/8 - (39*t[49])/2 + (45*t[50])/8 - (9*t[51])/4 - 
       (45*t[52])/8 + (39*t[53])/2 + (63*t[54])/8 - (65*t[60])/4 + 
       (71*t[61])/4 - (51*t[62])/4 + (387*t[63])/4 + (21*t[64])/8 + 
       (95*t[65])/6 + (241*t[66])/6 - 10*t[69] - 33*t[73] + 3*t[74] - 
       2*t[75] + 3*t[77] + 3*t[78] + 7*t[79] + 6*t[80] + 2*t[81] - 2*t[82] + 
       20*t[83] - (15*t[84])/4 + (5*t[85])/4 - 27*t[86] + (73*t[87])/4 + 
       (73*t[88])/8 - t[89]/8 - 6*t[99] + 3*t[100]) + 
     B6[w, u, v]*HPL[{1}, 1 - w]*(t[2]/4 + t[3]/2 - (11*t[4])/4 + 
       (23*t[5])/8 - t[6]/2 + t[7]/2 + t[8]/2 - (17*t[9])/8 - (37*t[10])/8 + 
       2*t[11] - (7*t[12])/4 + (65*t[13])/36 - (39*t[14])/16 + (9*t[15])/16 + 
       t[36] - t[41]/2 + t[42]/2 + t[43] + t[49]/8 - t[51]/16 - t[53]/8 - 
       (5*t[54])/4 - t[59]/2 - (7*t[60])/4 - (15*t[61])/4 + (7*t[62])/8 - 
       (35*t[63])/8 + (89*t[64])/8 + (4*t[65])/3 - (23*t[66])/6 - t[72] + 
       t[73] - t[75] + t[76] - t[78] + 4*t[80] + t[81]/2 - t[82]/2 - t[83] - 
       t[84]/2 + (5*t[85])/4 + 4*t[86] + (3*t[87])/4 + (3*t[88])/8 + 
       (19*t[89])/8 + 6*t[98] - 6*t[99] + 3*t[100]) + 
     B6[v, u, w]*HPL[{1}, 1 - v]*(-t[1]/2 + t[3]/2 - (15*t[5])/8 + 
       (3*t[6])/8 - t[7]/2 + (5*t[8])/2 + (11*t[9])/8 - (11*t[10])/2 - 
       (3*t[11])/8 + (17*t[12])/8 + (19*t[13])/18 - (11*t[14])/6 - 
       (33*t[15])/16 - 2*t[45] + 4*t[47] + (3*t[48])/8 - (13*t[50])/8 + 
       (13*t[52])/8 + (13*t[54])/8 - t[59]/2 - (7*t[60])/4 - (15*t[61])/4 + 
       (7*t[62])/8 - (35*t[63])/8 + (89*t[64])/8 + (4*t[65])/3 - 
       (23*t[66])/6 - t[72] + t[73] - t[75] + t[76] - t[78] + 4*t[80] + 
       t[81]/2 - t[82]/2 - t[83] - t[84]/2 + (5*t[85])/4 + 4*t[86] + 
       (3*t[87])/4 + (3*t[88])/8 + (19*t[89])/8 + 6*t[98] - 6*t[99] + 
       3*t[100]) + HPL[{0, 1}, 1 - w]*M1[w, u, v]*((-13*t[1])/4 + 4*t[2] - 
       2*t[3] + (229*t[4])/16 - (13*t[5])/2 + (23*t[6])/4 + (29*t[7])/4 + 
       (11*t[8])/4 + 10*t[9] - (101*t[10])/32 + (21*t[11])/2 + 
       (95*t[12])/32 + (235*t[13])/144 + (323*t[14])/64 - (97*t[15])/96 + 
       t[25] + (5*t[26])/2 + t[30] - 3*t[31] + t[34]/2 - 4*t[35] - t[36] + 
       t[37] - (7*t[38])/2 - t[39]/2 - t[40] - t[41]/4 + t[42]/4 - t[43]/2 + 
       t[46]/2 + (3*t[48])/4 - (135*t[49])/32 + (35*t[50])/4 - 
       (65*t[51])/64 - (21*t[52])/4 + (23*t[53])/32 - (101*t[54])/16 + 
       t[58]/2 + (5*t[59])/4 + (321*t[60])/16 - (51*t[61])/16 + t[62]/32 - 
       (417*t[63])/32 - (839*t[64])/32 - (223*t[65])/48 - (349*t[66])/48 + 
       t[69] + t[72] - 3*t[73] + t[74] + t[75] - (17*t[76])/2 - 2*t[77] + 
       9*t[78] + t[79] - 3*t[80] - t[81]/2 + (5*t[83])/2 + (221*t[84])/16 + 
       (73*t[85])/16 + 7*t[86] - (79*t[87])/16 - (15*t[88])/32 - 
       (21*t[89])/32 - 2*t[95] - 3*t[96] - (5*t[97])/2 - 54*t[98] + 
       54*t[99] + 3*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v]*(-t[1]/6 - (5*t[2])/96 - (295*t[3])/288 - 
       (17*t[4])/24 - (1789*t[5])/288 - (4001*t[6])/1152 + (1243*t[7])/96 - 
       (19*t[8])/12 + (511*t[9])/192 - (1699*t[10])/288 + (3517*t[11])/1152 - 
       (473*t[12])/288 - (295*t[13])/96 - (5375*t[14])/3456 - 
       (8009*t[15])/3456 - (2*t[19])/3 - t[20]/12 + t[22]/12 - t[25]/3 + 
       t[26]/3 + t[27]/12 - (13*t[28])/8 + (3*t[29])/4 - (25*t[30])/12 + 
       (35*t[31])/36 + (7*t[32])/8 - (19*t[33])/24 + t[34]/4 + 
       (43*t[35])/12 + (5*t[36])/3 + (17*t[37])/12 - t[38]/24 - 
       (55*t[39])/96 + (21*t[40])/32 - t[41]/12 + t[42]/12 + (43*t[43])/36 + 
       (79*t[44])/96 + t[45]/6 - (5*t[46])/24 + (2*t[47])/3 - 
       (1165*t[48])/384 - (77*t[49])/144 + (2653*t[50])/1152 + 
       (17*t[51])/48 - (2557*t[52])/1152 + (53*t[53])/144 - 
       (3013*t[54])/1152 + t[59]/8 - (2015*t[60])/576 + (205*t[61])/192 - 
       (16775*t[62])/1152 + (1367*t[63])/128 + (10403*t[64])/384 - 
       (3163*t[65])/576 - (1579*t[66])/1728 + (2*t[69])/3 - t[70]/4 + 
       t[71]/4 - t[72]/12 + (3*t[73])/4 - (15*t[74])/8 + (2*t[75])/3 + 
       t[76]/2 - (29*t[77])/24 - (23*t[78])/6 - (29*t[79])/3 + t[80]/12 - 
       (25*t[81])/12 - (107*t[82])/72 + (19*t[83])/4 - (1277*t[84])/576 + 
       (2351*t[85])/576 + (295*t[86])/18 + (3589*t[87])/576 + 
       (3973*t[88])/1152 + (1613*t[89])/384 + (35*t[98])/12 - (9*t[99])/4 + 
       (27*t[100])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - u]*((-13*t[3])/6 + (49*t[4])/36 - (61*t[5])/72 + 
       (15*t[6])/4 - (38*t[7])/9 - (35*t[8])/9 + (217*t[9])/72 + 
       (659*t[10])/72 - (7*t[12])/6 + (86*t[13])/27 + (703*t[14])/432 + 
       (1081*t[15])/432 + t[25]/3 - t[26]/3 + 2*t[28] + 2*t[31] - 2*t[35] - 
       2*t[36] - t[37] + 2*t[39] - 2*t[40] + 2*t[45] + (11*t[46])/6 - 
       4*t[47] + (3*t[48])/4 - (139*t[49])/72 - (19*t[50])/12 + 
       (3*t[51])/16 + (19*t[52])/12 + (139*t[53])/72 + (11*t[54])/9 - t[59] + 
       (241*t[60])/36 + (161*t[61])/36 + (1249*t[62])/72 - (53*t[63])/8 - 
       (1493*t[64])/72 + (113*t[65])/108 - (323*t[66])/36 - (7*t[69])/6 + 
       t[70] - t[71] + 3*t[74] + (19*t[75])/3 + 2*t[77] + 2*t[78] + t[79] - 
       4*t[80] + 2*t[81] - 2*t[82] - (319*t[83])/36 + (91*t[84])/36 + 
       (43*t[85])/36 - (266*t[86])/9 - (95*t[87])/12 - (107*t[88])/24 + 
       (497*t[89])/72 + (41*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*(-t[1] + (15*t[2])/4 + 
       (11*t[3])/8 - (77*t[4])/24 + (73*t[5])/24 + (313*t[6])/24 - 
       (209*t[7])/12 + (13*t[8])/2 + (137*t[9])/8 - (157*t[10])/16 - 
       (251*t[11])/8 - (697*t[12])/48 + (95*t[13])/6 + (3655*t[14])/288 - 
       (307*t[15])/48 + (2*t[25])/3 - (2*t[26])/3 + (34*t[28])/3 + 
       (13*t[29])/6 - (7*t[30])/6 - t[32] + t[33] + 2*t[34] - 4*t[35] + 
       7*t[36] - 2*t[37] - t[38] - 3*t[39] - t[40]/4 - t[41]/2 + t[42]/2 + 
       t[43] - (83*t[44])/12 - 2*t[45] - (41*t[46])/6 + 3*t[47] + 
       (25*t[48])/8 - (337*t[49])/48 - (5*t[50])/24 + (737*t[51])/96 + 
       (53*t[52])/24 + (145*t[53])/48 + (38*t[54])/3 + (683*t[60])/12 - 
       (139*t[61])/12 + (151*t[62])/16 + (299*t[63])/48 - (889*t[64])/24 + 
       (1465*t[65])/72 - (169*t[66])/12 - 2*t[69] - t[72] + t[73] - 6*t[74] + 
       7*t[75] - 5*t[76] + 7*t[78] + 3*t[79] + 9*t[80] + (3*t[81])/2 - 
       (3*t[82])/2 - (39*t[83])/2 + (97*t[84])/12 + (49*t[85])/6 - 3*t[86] - 
       (115*t[87])/6 - (115*t[88])/12 + (307*t[89])/24 - 3*t[96] - 2*t[97] - 
       14*t[98] + 11*t[99] + (7*t[100])/2) + HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((-2*t[1])/3 + (41*t[2])/24 + 
       (5*t[3])/2 - (2275*t[4])/96 - (67*t[5])/16 - (33*t[6])/8 + 
       (31*t[7])/8 - (121*t[8])/24 + (223*t[9])/48 - (3113*t[10])/192 - 
       (67*t[11])/24 + (1703*t[12])/192 + (2561*t[13])/864 - 
       (6661*t[14])/384 + (1373*t[15])/576 + (2*t[27])/3 - t[28]/3 - 
       (2*t[29])/3 + (2*t[30])/3 - (2*t[31])/3 + (2*t[34])/3 - t[35] - 
       2*t[36] - t[38]/3 - t[39]/2 - t[41]/3 + t[42]/3 - t[43]/3 + t[44]/6 + 
       t[46]/4 - (11*t[48])/3 - (729*t[49])/64 + (16*t[50])/3 + 
       (829*t[51])/128 - (14*t[52])/3 + (1931*t[53])/192 + (535*t[54])/96 - 
       t[59]/3 - (961*t[60])/32 - (625*t[61])/32 + (2401*t[62])/192 - 
       (689*t[63])/192 + (9929*t[64])/192 + (781*t[65])/32 + 
       (6343*t[66])/288 + (4*t[72])/3 + t[73]/2 + (9*t[75])/2 - 
       (25*t[76])/6 - (7*t[77])/6 + (19*t[78])/3 + t[79]/2 - (4*t[80])/3 + 
       t[81]/12 + 2*t[82] - 4*t[83] - (271*t[84])/96 - (383*t[85])/96 + 
       (97*t[86])/6 + (2329*t[87])/96 + (2401*t[88])/192 - (209*t[89])/192 - 
       2*t[96] - (4*t[97])/3 - 19*t[98] + 19*t[99] + (7*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-2*t[1])/3 + (23*t[2])/24 + (69*t[3])/8 - (11*t[4])/2 + 
       (151*t[5])/24 + (599*t[6])/192 - (1507*t[7])/48 + (465*t[8])/16 - 
       (3203*t[9])/96 - (71*t[10])/24 - (2351*t[11])/192 - (19*t[12])/48 - 
       (1175*t[13])/432 - (9067*t[14])/576 + (4819*t[15])/1728 - 
       (2*t[27])/3 + (3*t[28])/2 - (37*t[29])/24 + (29*t[30])/4 - 
       (2*t[31])/3 - (2*t[32])/3 + (2*t[33])/3 + (2*t[34])/3 + t[35] - 
       t[36]/2 - t[38]/3 - (23*t[39])/24 + t[40]/4 - t[41]/3 + t[42]/3 - 
       t[43]/3 - (7*t[44])/24 - t[46]/4 - (2*t[47])/3 + (663*t[48])/64 - 
       t[49]/3 - (2003*t[50])/192 + (7*t[51])/48 + (2131*t[52])/192 - t[53] + 
       (381*t[54])/64 - t[59]/3 - (961*t[60])/32 - (625*t[61])/32 + 
       (2401*t[62])/192 - (689*t[63])/192 + (9929*t[64])/192 + 
       (781*t[65])/32 + (6343*t[66])/288 + (4*t[72])/3 + t[73]/2 + 
       (9*t[75])/2 - (25*t[76])/6 - (7*t[77])/6 + (19*t[78])/3 + t[79]/2 - 
       (4*t[80])/3 + t[81]/12 + 2*t[82] - 4*t[83] - (271*t[84])/96 - 
       (383*t[85])/96 + (97*t[86])/6 + (2329*t[87])/96 + (2401*t[88])/192 - 
       (209*t[89])/192 - 2*t[96] - (4*t[97])/3 - 19*t[98] + 19*t[99] + 
       (7*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*(t[1] - (7*t[2])/8 + (35*t[3])/48 + 
       (121*t[4])/24 - (595*t[5])/96 - (271*t[6])/24 + (167*t[7])/16 - 
       (517*t[8])/48 - (829*t[9])/96 - (13*t[10])/48 + (707*t[11])/48 + 
       (47*t[12])/96 + (2*t[13])/3 - (329*t[14])/32 + (1507*t[15])/576 - 
       t[19] - (31*t[20])/3 + t[21] + t[22]/2 - t[23]/2 + t[25] + t[26]/2 + 
       (3*t[27])/2 - (32*t[28])/3 + t[29] + (22*t[30])/3 + 2*t[32] - 
       (7*t[33])/3 - 11*t[34] - 4*t[35] + t[37] + t[38]/2 - 3*t[39] + 
       (9*t[40])/4 - t[41] + (3*t[42])/4 + t[43]/4 + (22*t[44])/3 + 
       (27*t[45])/4 + (3*t[46])/2 - (31*t[47])/4 - (131*t[48])/24 - 
       (23*t[49])/6 + (97*t[50])/24 + (31*t[51])/24 - (157*t[52])/24 + 
       (23*t[53])/6 - (49*t[54])/8 + 2*t[57] + t[58]/2 - (5*t[59])/8 - 
       (347*t[60])/24 + (65*t[61])/8 - (485*t[62])/24 - (385*t[63])/24 + 
       (625*t[64])/48 - (61*t[65])/24 - (229*t[66])/12 - t[68]/2 - t[69] - 
       7*t[72] + 7*t[73] + t[74] - 21*t[75] - (31*t[76])/4 - t[77]/2 + 
       (17*t[78])/4 + 3*t[79] - (17*t[80])/2 - 3*t[81] - (3*t[82])/2 + 
       (37*t[83])/6 - t[84]/2 - (49*t[85])/12 + (58*t[86])/3 + 
       (245*t[87])/12 + (245*t[88])/24 + (101*t[89])/48 - t[90]/2 - t[93] - 
       (5*t[97])/4 - 27*t[98] + 26*t[99] + (7*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-7*t[1])/8 - (3*t[2])/8 + (139*t[3])/48 - (13*t[4])/24 - 
       (743*t[5])/96 + (189*t[6])/16 + (45*t[7])/16 + (841*t[8])/48 + 
       (237*t[9])/32 + (7*t[10])/6 + (47*t[11])/48 + (59*t[12])/32 - 
       (829*t[13])/288 - (17*t[14])/8 - (7213*t[15])/576 - t[22] + 
       (5*t[25])/6 + (17*t[26])/12 - t[27] + 2*t[28] + 2*t[29] - 
       (3*t[30])/2 + t[31] + t[32]/2 - t[33]/2 - (19*t[34])/4 + 2*t[35] - 
       t[37] - t[38]/2 + (5*t[39])/2 - (3*t[40])/2 + (7*t[41])/8 - 
       (7*t[42])/8 - (3*t[43])/4 - (3*t[44])/2 + (5*t[45])/2 - (2*t[46])/3 + 
       t[47] + (19*t[48])/4 + (229*t[49])/48 + (5*t[50])/12 - 
       (449*t[51])/96 + t[52]/3 - (229*t[53])/48 - (11*t[54])/8 + 
       (3*t[58])/4 - (5*t[59])/8 - (347*t[60])/24 + (65*t[61])/8 - 
       (485*t[62])/24 - (385*t[63])/24 + (625*t[64])/48 - (61*t[65])/24 - 
       (229*t[66])/12 - t[68]/2 - t[69] - 7*t[72] + 7*t[73] + t[74] - 
       21*t[75] - (31*t[76])/4 - t[77]/2 + (17*t[78])/4 + 3*t[79] - 
       (17*t[80])/2 - 3*t[81] - (3*t[82])/2 + (37*t[83])/6 - t[84]/2 - 
       (49*t[85])/12 + (58*t[86])/3 + (245*t[87])/12 + (245*t[88])/24 + 
       (101*t[89])/48 - t[90]/2 - t[93] - (5*t[97])/4 - 27*t[98] + 26*t[99] + 
       (7*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2*((-43*t[1])/12 + (175*t[2])/24 - (157*t[3])/8 - 
       (131*t[4])/6 - (7183*t[5])/192 + (2041*t[6])/96 + (589*t[7])/16 + 
       (40*t[8])/3 + (6853*t[9])/192 + (7*t[10])/3 - (251*t[11])/48 + 
       (8483*t[12])/192 - (2515*t[13])/108 + (461*t[14])/64 + 
       (14075*t[15])/1152 - t[17]/2 + t[19]/2 + (7*t[20])/2 - (3*t[21])/2 - 
       (3*t[22])/2 + (3*t[23])/2 - 6*t[24] + (11*t[26])/2 + (8*t[27])/3 - 
       4*t[28] - (121*t[29])/24 - (25*t[30])/6 - (21*t[31])/2 + 
       (35*t[32])/4 - t[33] + (4*t[34])/3 - (41*t[35])/3 - (23*t[36])/6 + 
       (11*t[37])/3 - (23*t[38])/4 - (31*t[39])/12 - (193*t[40])/24 - 
       (5*t[41])/12 + (5*t[42])/12 - (491*t[43])/96 + (63*t[44])/16 - 
       (31*t[45])/8 + t[46]/2 + (21*t[47])/4 + (127*t[48])/96 - 
       (601*t[49])/24 + (3539*t[50])/96 + (395*t[51])/48 - (609*t[52])/32 + 
       (449*t[53])/24 + (471*t[54])/32 + t[55]/4 - t[56]/4 - t[57]/2 + 
       (11*t[58])/6 + (79*t[59])/24 - (1111*t[60])/48 - (629*t[61])/24 + 
       (371*t[62])/96 - (1639*t[63])/96 - (1217*t[64])/24 + (511*t[65])/8 + 
       (1679*t[66])/36 + 2*t[68] + t[69]/2 + 3*t[70] - 3*t[71] + 
       (34*t[72])/3 - (47*t[73])/6 - (13*t[74])/2 - t[75]/3 - (269*t[76])/6 - 
       (13*t[77])/3 + (613*t[78])/12 + (27*t[79])/2 - (121*t[80])/4 - 
       (91*t[81])/12 + (169*t[82])/12 + (91*t[83])/12 + (1409*t[84])/48 - 
       (253*t[85])/16 + (307*t[86])/24 + (273*t[87])/8 + (489*t[88])/16 - 
       (1999*t[89])/96 + t[91]/24 + t[93]/2 - 3*t[95] - (25*t[96])/2 - 
       (77*t[97])/12 - 213*t[98] + 218*t[99] + (7*t[100])/2) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - u]*(t[1] + (161*t[2])/32 + 
       (1355*t[3])/192 + (325*t[4])/96 + (849*t[5])/128 + (11*t[6])/192 - 
       (229*t[7])/96 - (79*t[8])/96 - (1627*t[9])/128 + (871*t[10])/192 - 
       (1145*t[11])/192 - (2933*t[12])/384 - (1825*t[13])/1152 - 
       (515*t[14])/288 + (34633*t[15])/6912 + (5*t[18])/16 + t[20]/2 - 
       t[22]/8 - (5*t[24])/12 + (5*t[29])/8 - (5*t[30])/12 + (5*t[31])/12 + 
       t[32]/2 + (3*t[34])/8 + (53*t[35])/24 - t[37]/4 - 2*t[41] + 
       (17*t[42])/8 - (127*t[43])/64 + (3*t[45])/32 - (83*t[47])/16 + 
       (77*t[48])/96 + (191*t[49])/192 - (97*t[50])/96 - (191*t[51])/384 + 
       (97*t[52])/96 - (191*t[53])/192 + (37*t[54])/48 - t[59]/2 - 
       (221*t[60])/96 + (19*t[61])/8 - (245*t[62])/64 + (553*t[63])/64 - 
       (1943*t[64])/64 + (253*t[65])/288 + (1291*t[66])/96 - t[67]/48 + 
       t[69] + t[70]/24 - (5*t[71])/48 - t[72]/4 + (5*t[73])/8 + 
       (7*t[74])/8 + (19*t[75])/24 + t[77]/4 - (11*t[79])/8 - (47*t[80])/4 - 
       (5*t[81])/16 + (5*t[82])/16 + (11*t[83])/16 + t[84]/8 + 
       (95*t[85])/96 - (49*t[86])/6 - (47*t[87])/96 - (47*t[88])/192 - 
       (177*t[89])/64 + (15*t[100])/4) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((5*t[1])/12 + (415*t[3])/72 - (371*t[4])/48 + 
       (593*t[5])/144 - (631*t[6])/72 + (107*t[7])/24 - (35*t[8])/12 - 
       (33*t[9])/16 - (1115*t[10])/288 - (317*t[11])/144 - (121*t[12])/288 - 
       (3877*t[13])/432 - (5405*t[14])/1728 - (2573*t[15])/432 + t[16]/6 - 
       (5*t[25])/3 + (5*t[26])/3 - 2*t[28] - (55*t[31])/18 + 2*t[35] - 
       (7*t[36])/4 - (5*t[37])/6 - 2*t[39] + 2*t[40] - (19*t[43])/36 - 
       2*t[45] + t[46]/3 + 4*t[47] - (49*t[48])/24 + (751*t[49])/288 + 
       (341*t[50])/72 - (461*t[51])/192 - (341*t[52])/72 - (751*t[53])/288 - 
       (733*t[54])/144 + (163*t[60])/72 - (527*t[61])/24 - (2491*t[62])/72 + 
       (505*t[63])/24 + (601*t[64])/48 + (11*t[65])/36 + (2675*t[66])/216 + 
       (4*t[69])/3 - 5*t[73] - 2*t[74] + 4*t[75] - 2*t[77] - 2*t[78] + 
       (17*t[80])/3 - (11*t[81])/3 + (89*t[82])/18 + (53*t[83])/6 - 
       (29*t[84])/18 - (14*t[85])/9 + (911*t[86])/18 - (31*t[87])/9 - 
       (31*t[88])/18 - (583*t[89])/48 + (23*t[100])/6) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((11*t[4])/3 - t[5]/3 + (2*t[7])/3 + (2*t[8])/3 + t[9]/3 - 
       (7*t[10])/6 + (10*t[11])/3 + (5*t[12])/2 + 3*t[13] - (19*t[14])/6 + 
       (5*t[15])/9 - (8*t[36])/3 + t[49]/2 + t[51] - t[53]/2 - (4*t[54])/3 + 
       (11*t[60])/3 - 5*t[61] + t[62] - 14*t[63] + (3*t[64])/2 + 
       (38*t[65])/9 - (34*t[66])/9 + (4*t[73])/3 + (40*t[75])/3 - 
       (8*t[79])/3 - (44*t[83])/3 + (4*t[84])/3 + (4*t[85])/3 + (8*t[86])/3 - 
       (19*t[87])/3 - (19*t[88])/6 + (7*t[89])/6 + 4*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((4*t[3])/3 - t[5]/3 + (11*t[6])/6 - (5*t[7])/3 + 3*t[8] + 
       (17*t[9])/6 - (2*t[10])/3 - (7*t[11])/6 + t[12]/3 + (4*t[13])/9 - 
       (13*t[14])/18 - (25*t[15])/18 + (16*t[28])/3 + (8*t[29])/3 - 
       (8*t[30])/3 - 5*t[44] + (19*t[48])/6 - (11*t[50])/6 + (11*t[52])/6 + 
       (11*t[54])/6 + (11*t[60])/3 - 5*t[61] + t[62] - 14*t[63] + 
       (3*t[64])/2 + (38*t[65])/9 - (34*t[66])/9 + (4*t[73])/3 + 
       (40*t[75])/3 - (8*t[79])/3 - (44*t[83])/3 + (4*t[84])/3 + 
       (4*t[85])/3 + (8*t[86])/3 - (19*t[87])/3 - (19*t[88])/6 + 
       (7*t[89])/6 + 4*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*(-t[3]/3 + (2*t[5])/3 - t[6]/6 - (4*t[7])/3 - 
       (4*t[8])/3 - t[9] + (4*t[10])/3 - (7*t[11])/6 - (2*t[12])/3 - 
       t[13]/9 + (5*t[14])/18 + (2*t[15])/3 + (8*t[28])/3 - (2*t[29])/3 + 
       (2*t[30])/3 - 2*t[31] - 4*t[35] + (2*t[44])/3 + (3*t[48])/2 + 
       t[50]/6 - t[52]/6 - t[54]/6 - (4*t[60])/3 - (5*t[61])/3 + 
       (23*t[62])/6 + (7*t[63])/2 - (25*t[64])/6 + (4*t[65])/9 + 
       (11*t[66])/3 - 2*t[72] - (14*t[83])/3 - t[84]/3 - t[85]/3 - 
       (16*t[86])/3 + t[87] + t[88]/2 + (7*t[89])/6 + 4*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*Omega2[w, u, v]*(-2*t[1] + (3*t[3])/4 + 
       (57*t[4])/4 + (69*t[5])/8 + (41*t[6])/8 + (19*t[7])/4 + (29*t[8])/4 - 
       (45*t[9])/8 - (21*t[10])/2 + (123*t[11])/8 - (35*t[12])/8 + 
       (733*t[13])/72 + (107*t[14])/48 - (65*t[15])/48 + 2*t[25] - 2*t[27] - 
       t[28] + t[29] - t[31] + 2*t[35] - 2*t[38] - t[39] + t[40] - 2*t[45] + 
       t[46]/2 + 4*t[47] + (35*t[48])/8 + (9*t[49])/2 - t[50]/8 - 
       (53*t[51])/16 + t[52]/8 - 6*t[53] - (69*t[54])/8 + t[59] + 
       (83*t[60])/4 + 17*t[61] - (67*t[62])/8 - (9*t[63])/8 + (55*t[64])/2 - 
       (47*t[65])/12 - (35*t[66])/12 + 2*t[69] - 2*t[72] - t[74] + 3*t[75] - 
       t[77] + 3*t[80] + t[81] - t[82] - 5*t[83] + 5*t[84] + (9*t[85])/2 + 
       6*t[86] - (9*t[87])/2 - t[88]/4 + (49*t[89])/8 - 2*t[95] - 8*t[99] + 
       4*t[100]) + HPL[{0, 0, 1}, 1 - v]*Omega2[u, v, w]*
      ((-15*t[2])/2 - (91*t[3])/8 - (23*t[4])/2 - (55*t[5])/8 + (9*t[6])/2 + 
       (19*t[7])/2 + (25*t[8])/2 + (73*t[9])/8 - (3*t[10])/2 - 9*t[11] + 
       (37*t[12])/8 - (269*t[13])/36 + (305*t[14])/24 - (55*t[15])/36 + 
       2*t[20] - 2*t[22] - 2*t[28] - t[29]/2 - 3*t[30] + t[31] + 
       (3*t[32])/2 - t[33] + 2*t[34] + 2*t[35] + 3*t[36] + t[37] + t[41]/2 - 
       t[42]/2 + (3*t[43])/2 - (5*t[44])/4 - t[46]/2 + t[47] - (5*t[48])/4 - 
       (17*t[49])/4 - (3*t[50])/4 + (7*t[51])/4 + (3*t[52])/4 + 
       (17*t[53])/4 + (25*t[54])/2 + t[59] + (83*t[60])/4 + 17*t[61] - 
       (67*t[62])/8 - (9*t[63])/8 + (55*t[64])/2 - (47*t[65])/12 - 
       (35*t[66])/12 + 2*t[69] - 2*t[72] - t[74] + 3*t[75] - t[77] + 
       3*t[80] + t[81] - t[82] - 5*t[83] + 5*t[84] + (9*t[85])/2 + 6*t[86] - 
       (9*t[87])/2 - t[88]/4 + (49*t[89])/8 - 2*t[95] - 8*t[99] + 4*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      ((-2*t[3])/3 + 4*t[4] + (7*t[5])/12 - (7*t[6])/12 + 4*t[7] + t[8] - 
       (9*t[9])/4 - (53*t[10])/12 + (65*t[11])/12 + (7*t[12])/6 + 
       (13*t[13])/36 + (313*t[14])/72 - (59*t[15])/72 - t[28] - t[31]/3 + 
       t[35] + t[36] + t[37] - t[39] + t[40] + t[43]/3 - t[45] - 2*t[46] + 
       2*t[47] - (3*t[48])/4 + (19*t[49])/12 + (11*t[50])/12 + t[51]/8 - 
       (11*t[52])/12 - (19*t[53])/12 - (11*t[54])/12 + t[59] - (11*t[60])/3 + 
       10*t[61] - (185*t[62])/24 + (45*t[63])/8 + (153*t[64])/8 - 
       (169*t[65])/12 - (109*t[66])/36 + 2*t[69] - t[70] + t[71] - t[74] - 
       (5*t[75])/2 - t[77] - t[78] - (13*t[79])/4 + (3*t[80])/2 - t[81] + 
       t[82]/6 + (25*t[83])/4 - (5*t[84])/3 - t[85]/3 + (65*t[86])/12 + 
       (19*t[87])/3 + (19*t[88])/6 - 5*t[89] - 2*t[99] + 4*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      (-t[1]/4 - (215*t[2])/96 - (43*t[3])/72 + (275*t[4])/288 - 
       (385*t[5])/144 + (119*t[6])/144 + (185*t[7])/96 + (599*t[8])/288 - 
       (11*t[9])/288 - (737*t[10])/576 + (503*t[11])/288 + (551*t[12])/576 + 
       (5*t[13])/54 - (607*t[14])/1152 - (355*t[15])/864 + (5*t[20])/18 - 
       t[24]/12 + (13*t[28])/72 + (5*t[29])/24 - (13*t[30])/36 + 
       (9*t[31])/8 + t[32]/4 + t[33]/36 + (31*t[35])/8 + (3*t[36])/4 + 
       (3*t[37])/4 + t[41]/8 - t[42]/8 + (31*t[43])/48 - t[44]/36 + t[47]/4 + 
       (37*t[48])/144 - (317*t[49])/576 - (125*t[50])/144 + 
       (365*t[51])/1152 + (125*t[52])/144 + (317*t[53])/576 + (37*t[54])/96 + 
       (2*t[59])/3 + (29*t[60])/288 - (25*t[61])/96 - (269*t[62])/576 + 
       (1601*t[63])/576 + (4175*t[64])/576 - (169*t[65])/36 + t[66]/8 + 
       (2*t[69])/3 - (3*t[70])/8 + (3*t[71])/8 - t[72]/2 + (23*t[73])/24 - 
       (35*t[74])/24 + (11*t[75])/8 - (3*t[77])/8 - t[78]/2 - (35*t[79])/8 - 
       t[80]/2 - (29*t[81])/48 - (29*t[82])/48 - (43*t[83])/72 - 
       (7*t[84])/8 + (227*t[85])/288 + (23*t[86])/36 + (605*t[87])/288 + 
       (605*t[88])/576 + (1393*t[89])/576 + t[99]/2 + (49*t[100])/12) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*(-8*t[1] + 16*t[4] - 
       (51*t[5])/8 - (3*t[7])/4 - (3*t[8])/4 + (51*t[9])/8 - 9*t[10] + 
       (223*t[11])/4 + (297*t[12])/8 + (91*t[13])/6 - (13*t[14])/3 + 
       (281*t[15])/48 - (3*t[16])/2 + 8*t[26] - 19*t[36] - 8*t[38] + 
       35*t[46] - (83*t[49])/4 - (157*t[51])/8 + (83*t[53])/4 + (5*t[59])/2 + 
       9*t[60] - (53*t[61])/2 + (41*t[62])/4 - 109*t[63] + 6*t[64] - 
       (71*t[65])/6 - (335*t[66])/6 - 3*t[69] + 3*t[70] - 3*t[71] + 
       40*t[73] + 16*t[74] - 45*t[75] - 3*t[79] - 43*t[83] - 3*t[86] - 
       6*t[87] - 3*t[88] + (29*t[89])/4 + (9*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*
      ((3*t[2])/2 + (143*t[3])/4 + (299*t[5])/8 + (43*t[6])/2 - 
       (169*t[7])/4 - (195*t[8])/4 - (235*t[9])/8 - (3*t[10])/4 - 8*t[11] - 
       (51*t[12])/8 + (115*t[13])/8 - (409*t[14])/24 - (511*t[15])/48 + 
       3*t[20] + 30*t[28] - 27*t[32] + 30*t[33] + 3*t[34] - 3*t[35] + 
       (83*t[48])/4 - (83*t[50])/4 + (83*t[52])/4 + (83*t[54])/4 + 
       (5*t[59])/2 + 9*t[60] - (53*t[61])/2 + (41*t[62])/4 - 109*t[63] + 
       6*t[64] - (71*t[65])/6 - (335*t[66])/6 - 3*t[69] + 3*t[70] - 3*t[71] + 
       40*t[73] + 16*t[74] - 45*t[75] - 3*t[79] - 43*t[83] - 3*t[86] - 
       6*t[87] - 3*t[88] + (29*t[89])/4 + (9*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-3*t[1] + (9*t[2])/2 - 10*t[3] - 23*t[4] + (9*t[5])/4 + (43*t[6])/2 - 
       (21*t[7])/2 + (41*t[8])/2 - (45*t[9])/4 - (27*t[10])/4 - 
       (43*t[11])/2 - 10*t[12] + (23*t[13])/12 - (71*t[14])/24 + 
       (439*t[15])/24 + t[25] - t[26] + 3*t[28] + 5*t[31] - 3*t[35] + 
       3*t[36] + 3*t[37] + 3*t[39] - 3*t[40] + t[43] + 3*t[45] + 4*t[46] - 
       6*t[47] + 6*t[48] - (61*t[49])/4 - 8*t[50] + (37*t[51])/8 + 8*t[52] + 
       (61*t[53])/4 + 16*t[54] - 3*t[59] - (67*t[60])/8 + 24*t[61] + 
       (1103*t[62])/16 - (459*t[63])/16 - (87*t[64])/4 + (1255*t[65])/24 + 
       (191*t[66])/12 - 6*t[69] + 3*t[70] - 3*t[71] + 3*t[74] - 5*t[75] + 
       3*t[77] + 3*t[78] - (67*t[79])/4 - 18*t[80] + 3*t[81] - 7*t[82] - 
       (33*t[83])/4 + t[84] + (5*t[85])/2 - (343*t[86])/4 + (33*t[87])/2 + 
       (33*t[88])/4 + (145*t[89])/4 + 3*t[99] + (9*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-9*t[1])/4 - (165*t[2])/8 + (51*t[3])/2 + (465*t[4])/4 - 
       (147*t[5])/16 - (421*t[6])/16 - (361*t[7])/8 + (51*t[8])/8 - 
       (925*t[9])/16 + (103*t[10])/4 + (591*t[11])/16 - (563*t[12])/16 + 
       (145*t[13])/3 - (2147*t[14])/48 - (865*t[15])/96 - 5*t[16] + 
       21*t[25] - 15*t[26] - (57*t[29])/2 - (9*t[30])/2 + 6*t[31] - 
       26*t[34] + 8*t[36] - 6*t[37] + (3*t[38])/2 - 3*t[39] + (67*t[40])/4 - 
       (3*t[44])/4 + (105*t[45])/4 - (9*t[46])/2 - (75*t[47])/4 + 
       (321*t[48])/16 + (27*t[49])/8 - (23*t[50])/16 + (159*t[51])/16 - 
       (265*t[52])/16 - (15*t[53])/8 - (157*t[54])/16 + (15*t[59])/8 + 
       t[60]/8 + (507*t[61])/8 + (431*t[62])/16 - (2531*t[63])/16 - 
       (1961*t[64])/16 + (1943*t[65])/24 - (943*t[66])/8 - 13*t[69] - 
       6*t[72] + 52*t[73] - 99*t[75] + (31*t[76])/4 - 37*t[78] + 8*t[79] - 
       (21*t[80])/2 - (43*t[81])/4 - (57*t[82])/4 - (51*t[83])/2 + 
       (259*t[84])/8 + (45*t[85])/8 - 70*t[86] + (329*t[87])/8 + 
       (569*t[88])/16 + (723*t[89])/16 - (15*t[97])/4 - 36*t[98] + 24*t[99] + 
       (9*t[100])/2) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]^2*
      ((-2*t[1])/3 + (45*t[2])/16 + (191*t[3])/24 - (79*t[4])/96 - 
       (227*t[5])/96 + (13*t[6])/24 + (5*t[7])/3 + (29*t[8])/8 - 
       (251*t[9])/96 - (1997*t[10])/192 + (7*t[11])/48 + (305*t[12])/192 + 
       (1595*t[13])/864 - (9463*t[14])/1152 - (29*t[15])/96 - t[18]/6 + 
       (5*t[20])/6 - t[22]/2 + t[27]/6 - t[28]/6 - t[29]/3 + (5*t[30])/6 - 
       (2*t[31])/3 + t[32]/2 + (5*t[33])/6 + (2*t[34])/3 + (7*t[35])/6 + 
       t[36]/2 - t[37]/2 - t[38]/3 - t[39] - (7*t[41])/12 + (7*t[42])/12 - 
       t[43]/12 + (5*t[44])/6 + t[46]/4 - t[47]/2 - (4*t[48])/3 - 
       (197*t[49])/64 + (41*t[50])/12 + (177*t[51])/128 - (11*t[52])/4 + 
       (335*t[53])/192 - (37*t[54])/96 - t[59]/24 + (181*t[60])/96 - 
       (677*t[61])/32 + (2089*t[62])/192 - (25*t[63])/192 - 
       (1835*t[64])/192 + (1961*t[65])/288 + (3275*t[66])/288 + t[67]/24 + 
       (11*t[69])/12 + t[70]/6 - t[71]/6 + (5*t[72])/6 - t[73] - 
       (11*t[74])/4 + (5*t[75])/6 - (25*t[76])/6 - (5*t[77])/3 + 
       (35*t[78])/6 + (7*t[79])/6 + t[80]/6 + (19*t[82])/12 + (19*t[83])/24 + 
       (111*t[84])/32 + (353*t[85])/96 + (32*t[86])/3 + (11*t[87])/32 + 
       (11*t[88])/64 - (223*t[89])/64 - 2*t[96] - (4*t[97])/3 - 19*t[98] + 
       20*t[99] + (39*t[100])/8) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]^2*
      ((-11*t[1])/12 + (23*t[2])/24 + (49*t[3])/24 - (20*t[4])/3 + 
       (103*t[5])/96 - (193*t[6])/192 - (157*t[7])/48 - (69*t[8])/16 + 
       (71*t[9])/48 - (83*t[10])/12 - (1667*t[11])/192 + (295*t[12])/96 - 
       (631*t[13])/216 - (2807*t[14])/576 - (115*t[15])/54 - t[16]/24 - 
       t[25] + (7*t[26])/6 - (2*t[27])/3 - t[28] - (19*t[29])/24 - 
       (5*t[30])/4 - (2*t[31])/3 - (2*t[32])/3 + (2*t[33])/3 + (2*t[34])/3 + 
       (3*t[35])/2 + (17*t[36])/12 - t[37]/3 - (5*t[38])/12 - (23*t[39])/24 + 
       t[40]/4 - t[41]/3 + t[42]/3 - t[43]/12 + (35*t[44])/24 - t[45]/2 - 
       t[46]/8 + t[47]/3 - (65*t[48])/64 - (85*t[49])/24 - (11*t[50])/192 + 
       (151*t[51])/96 + (139*t[52])/192 + (53*t[53])/24 + (319*t[54])/192 - 
       t[59]/24 + (181*t[60])/96 - (677*t[61])/32 + (2089*t[62])/192 - 
       (25*t[63])/192 - (1835*t[64])/192 + (1961*t[65])/288 + 
       (3275*t[66])/288 + t[67]/24 + (11*t[69])/12 + t[70]/6 - t[71]/6 + 
       (5*t[72])/6 - t[73] - (11*t[74])/4 + (5*t[75])/6 - (25*t[76])/6 - 
       (5*t[77])/3 + (35*t[78])/6 + (7*t[79])/6 + t[80]/6 + (19*t[82])/12 + 
       (19*t[83])/24 + (111*t[84])/32 + (353*t[85])/96 + (32*t[86])/3 + 
       (11*t[87])/32 + (11*t[88])/64 - (223*t[89])/64 - 2*t[96] - 
       (4*t[97])/3 - 19*t[98] + 20*t[99] + (39*t[100])/8) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*
      ((7*t[4])/3 + t[5]/12 - t[7]/6 - t[8]/6 - t[9]/12 - (2*t[10])/3 + 
       t[11]/2 - t[12]/4 + (11*t[13])/9 - (17*t[14])/9 + (29*t[15])/72 - 
       2*t[36] + (5*t[49])/6 + t[51]/4 - (5*t[53])/6 - t[54]/3 + 
       (4*t[60])/3 - (10*t[61])/3 + (8*t[62])/3 - 6*t[63] - (7*t[64])/3 + 
       (23*t[65])/9 + (2*t[66])/3 + 2*t[69] + 2*t[73] + 2*t[75] - 2*t[79] - 
       (7*t[83])/3 + t[84]/3 + t[85]/3 - (2*t[86])/3 - 3*t[87] - 
       (3*t[88])/2 + (4*t[89])/3 + 5*t[100]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u]*((-35*t[3])/12 + (97*t[4])/12 - 
       (53*t[5])/48 + (45*t[6])/8 - (85*t[7])/8 + (13*t[8])/24 - 
       (59*t[9])/48 + (95*t[10])/12 - (7*t[11])/3 - (31*t[12])/16 + 
       (173*t[13])/36 + (67*t[14])/36 + (1229*t[15])/864 - (2*t[20])/3 - 
       t[24] + (5*t[28])/2 + (3*t[29])/2 - (5*t[30])/6 + t[31]/6 - 2*t[32] + 
       (4*t[33])/3 - (5*t[35])/3 - 2*t[36] - t[43] - t[44] + (27*t[48])/8 + 
       (29*t[49])/24 - (25*t[50])/8 - (29*t[51])/48 + (25*t[52])/8 - 
       (29*t[53])/24 + (65*t[54])/24 + (11*t[60])/2 - (7*t[61])/12 + 
       (145*t[62])/8 - (11*t[63])/24 - (571*t[64])/24 - t[65]/2 - 
       (23*t[66])/9 - (5*t[72])/6 + t[73]/6 + 2*t[74] + (13*t[75])/2 + 
       2*t[77] + 2*t[78] + (5*t[79])/6 - 4*t[80] + (3*t[81])/2 - 
       (3*t[82])/2 - (29*t[83])/3 + (9*t[84])/4 + (11*t[85])/6 - 
       (175*t[86])/6 - (41*t[87])/6 - (47*t[88])/12 + (53*t[89])/8 + 
       5*t[100]) + HPL[{0, 1}, 1 - w]*M1[v, u, w]*((11*t[1])/12 - 
       (13*t[2])/12 + (7*t[3])/2 + (14*t[4])/3 + (11*t[5])/4 - (19*t[6])/2 - 
       t[7]/2 - (65*t[8])/6 - (37*t[9])/12 + (37*t[10])/6 + t[11]/2 - 
       (11*t[12])/3 + (241*t[13])/216 - t[14]/2 - (221*t[15])/72 + t[20] - 
       t[22] - (3*t[26])/2 + t[27]/3 - (2*t[28])/3 - t[29]/3 + t[30]/3 + 
       (8*t[31])/3 - t[34]/6 + 2*t[35] - t[37] + (4*t[38])/3 + t[40] + 
       t[41]/12 - t[42]/12 + t[43]/3 + t[44]/3 - (29*t[48])/6 + 3*t[49] - 
       (23*t[50])/6 - (3*t[51])/4 + (2*t[52])/3 - (5*t[53])/3 - (8*t[54])/3 - 
       t[58]/2 - (11*t[59])/12 + (21*t[60])/2 - 3*t[61] - (31*t[62])/3 + 
       (25*t[63])/6 - (19*t[64])/6 - (287*t[65])/18 - (14*t[66])/9 + t[69] - 
       t[72]/3 + (37*t[76])/6 + (2*t[77])/3 - (16*t[78])/3 + (7*t[80])/3 + 
       t[81]/6 + (3*t[82])/2 + (7*t[83])/2 - (35*t[84])/6 + (7*t[85])/3 + 
       (4*t[86])/3 - (67*t[87])/6 - (67*t[88])/12 - (17*t[89])/6 + 2*t[96] + 
       (11*t[97])/6 + 40*t[98] - 40*t[99] + 5*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
      ((17*t[1])/36 - (2167*t[2])/432 - (95*t[3])/9 - (325*t[4])/144 - 
       (319*t[5])/288 - (151*t[6])/72 - (347*t[7])/72 + (605*t[8])/36 - 
       (1883*t[9])/288 - (2071*t[10])/288 + (25*t[11])/3 + (31*t[12])/144 + 
       (4265*t[13])/648 - (2917*t[14])/576 + (5209*t[15])/1728 - t[18]/3 - 
       (17*t[20])/6 + t[22]/3 - t[24] - (5*t[28])/2 - (25*t[29])/9 - 
       (5*t[30])/4 - (5*t[31])/18 - (107*t[32])/36 + (5*t[33])/4 - 
       (95*t[34])/18 + (7*t[35])/2 + (7*t[36])/4 - t[37]/3 + (25*t[38])/36 + 
       (5*t[39])/12 + (5*t[40])/9 + (7*t[41])/18 - (7*t[42])/18 + 
       (23*t[43])/18 - 3*t[44] + (35*t[45])/18 - (11*t[47])/18 + 
       (13*t[48])/8 - (613*t[49])/288 - (427*t[50])/72 + (893*t[51])/576 + 
       (287*t[52])/72 + (773*t[53])/288 - (7*t[54])/48 + (187*t[59])/108 - 
       (27*t[60])/8 + (1459*t[61])/72 - (3191*t[62])/288 - (2371*t[63])/96 + 
       (2551*t[64])/72 + (2879*t[65])/432 - (13283*t[66])/432 + t[68]/2 + 
       (11*t[69])/3 - (8*t[70])/3 + (8*t[71])/3 - t[72]/6 - t[73]/12 - 
       t[74] - 3*t[75] + t[76]/6 - t[77]/18 - (10*t[78])/9 - (10*t[79])/3 + 
       (103*t[80])/18 - (13*t[81])/18 - (2*t[82])/3 + (13*t[83])/4 + 
       (145*t[84])/72 + (17*t[85])/72 + (104*t[86])/9 + (361*t[87])/24 + 
       (1051*t[88])/144 + (259*t[89])/24 + (5*t[96])/6 + (5*t[97])/18 - 
       (2*t[98])/3 + t[99]/3 + 5*t[100]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1, 1}, 1 - w]*((13*t[1])/12 + (17*t[2])/6 - 2*t[3] + 
       (55*t[4])/12 + (245*t[5])/48 + (127*t[6])/12 + (91*t[7])/12 + 
       (19*t[8])/12 + (163*t[9])/48 + (139*t[10])/12 + (25*t[11])/8 - 
       (25*t[12])/16 + (19*t[13])/108 + (325*t[14])/72 + (1457*t[15])/288 + 
       2*t[25] - 4*t[26] - 2*t[31] + (2*t[34])/3 - (17*t[35])/2 - 
       (2*t[36])/3 - (8*t[37])/3 + (5*t[38])/3 - t[39]/3 - t[41]/3 + 
       t[42]/3 + 2*t[43] + 2*t[45] + (19*t[46])/12 - 4*t[47] + 
       (53*t[48])/12 - (43*t[49])/8 + (17*t[50])/12 + (11*t[51])/8 - 
       (3*t[52])/4 + (65*t[53])/24 - t[54]/6 - (10*t[59])/3 + (157*t[60])/8 + 
       (323*t[61])/8 + (11*t[62])/8 - (14*t[63])/3 - (2183*t[64])/48 - 
       (58*t[65])/9 - (129*t[66])/8 - 4*t[69] + 3*t[70] - 3*t[71] + t[73] + 
       (2*t[74])/3 - (7*t[76])/6 - (7*t[77])/6 + (16*t[78])/3 - 
       (13*t[79])/2 + t[80]/6 + (11*t[81])/3 - 2*t[82] - t[83] + 
       (113*t[84])/24 - (187*t[85])/24 - 15*t[86] - (205*t[87])/24 - 
       (245*t[88])/48 - (575*t[89])/48 - (4*t[95])/3 - t[96]/2 - t[97]/3 - 
       26*t[98] + 22*t[99] + 5*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2*((-13*t[1])/9 + (23*t[2])/36 + (2083*t[3])/144 - 
       (373*t[4])/24 + (43*t[5])/144 - (8135*t[6])/576 + (157*t[7])/144 - 
       (1307*t[8])/48 + (1553*t[9])/288 - (1805*t[10])/144 - 
       (7129*t[11])/576 + (613*t[12])/144 - (9043*t[13])/1296 - 
       (21935*t[14])/1728 - (64879*t[15])/5184 - (13*t[27])/9 - 5*t[28] - 
       (79*t[29])/36 - (47*t[30])/12 + (20*t[31])/9 + (5*t[32])/9 - 
       (5*t[33])/9 + (13*t[34])/9 + 8*t[35] - (5*t[36])/6 - (11*t[37])/3 - 
       (13*t[38])/18 - (89*t[39])/36 + (11*t[40])/12 - (13*t[41])/18 + 
       (13*t[42])/18 + (5*t[43])/18 + (415*t[44])/72 - (5*t[46])/12 - 
       (13*t[47])/9 - (839*t[48])/192 - (23*t[49])/144 + (3275*t[50])/576 + 
       (193*t[51])/288 - (2443*t[52])/576 - (131*t[53])/48 - (159*t[54])/64 - 
       (23*t[59])/9 + (263*t[60])/32 - (2101*t[61])/32 - (2173*t[62])/576 + 
       (1421*t[63])/576 + (9883*t[64])/576 - (8081*t[65])/864 + 
       (8741*t[66])/864 - (11*t[69])/3 - (7*t[72])/9 - (20*t[73])/3 - 
       2*t[74] - 2*t[75] - (82*t[76])/9 - (58*t[77])/9 + (107*t[78])/9 + 
       (17*t[79])/3 + (76*t[80])/9 - (175*t[81])/36 + (37*t[82])/6 + 
       (91*t[83])/6 + (1915*t[84])/288 + (3923*t[85])/288 + (451*t[86])/9 - 
       (745*t[87])/288 - (745*t[88])/576 - (10627*t[89])/576 - (13*t[96])/3 - 
       (26*t[97])/9 - (158*t[98])/3 + (158*t[99])/3 + (31*t[100])/6) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((19*t[1])/48 - (39*t[2])/16 + (55*t[3])/72 - (3065*t[4])/1152 - 
       (661*t[5])/288 - (4907*t[6])/576 + (791*t[7])/96 - (1859*t[8])/288 + 
       (199*t[9])/144 + (3173*t[10])/2304 + (227*t[11])/576 - 
       (9335*t[12])/2304 - (13363*t[13])/3456 + (1313*t[14])/4608 - 
       (19171*t[15])/6912 - (2*t[19])/3 + t[20]/18 + t[22]/4 + t[24]/12 + 
       t[25]/3 - (17*t[26])/24 - t[27]/12 - (2*t[28])/9 + t[29]/4 - 
       (13*t[30])/72 + (5*t[31])/4 + (3*t[32])/4 - (4*t[33])/9 - 
       (5*t[34])/24 + 3*t[35] + (5*t[36])/8 + (2*t[37])/3 + (5*t[38])/12 + 
       t[39]/4 + t[40]/4 - t[41]/48 + t[42]/48 + (11*t[43])/12 + 
       (13*t[44])/36 + t[45]/3 - (5*t[46])/12 - t[47]/12 - (1609*t[48])/576 + 
       (5303*t[49])/2304 + (95*t[50])/576 - (2147*t[51])/4608 - 
       (647*t[52])/576 - (3767*t[53])/2304 - (1271*t[54])/384 - t[58]/8 - 
       (7*t[59])/48 - (1901*t[60])/1152 - (415*t[61])/384 - 
       (42889*t[62])/2304 + (19417*t[63])/2304 + (37567*t[64])/2304 - 
       (2503*t[65])/1152 + (1795*t[66])/1152 - t[69]/4 - (2*t[72])/3 - 
       (17*t[73])/24 + (13*t[74])/24 + (5*t[75])/8 + (65*t[76])/24 - 
       t[77]/24 - (11*t[78])/3 - (20*t[79])/3 + (31*t[80])/12 - t[81]/3 - 
       (19*t[82])/48 + (379*t[83])/72 - (1483*t[84])/384 - (173*t[85])/1152 + 
       (577*t[86])/36 + (1147*t[87])/1152 + (1147*t[88])/2304 - 
       (1063*t[89])/2304 + t[96] + (19*t[97])/24 + (65*t[98])/4 - 
       (69*t[99])/4 + (43*t[100])/8) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((17*t[1])/18 + (11*t[2])/48 + (911*t[3])/288 + 
       (2899*t[4])/288 - (155*t[5])/288 - (9653*t[6])/1152 + (517*t[7])/96 + 
       (323*t[8])/288 - (2813*t[9])/576 - (3047*t[10])/576 + 
       (1821*t[11])/128 - (5843*t[12])/576 + (355*t[13])/48 + 
       (571*t[14])/288 - (21701*t[15])/3456 - t[19]/6 + (35*t[25])/18 - 
       (3*t[26])/2 + t[27] - (37*t[28])/12 - t[29]/3 + (31*t[30])/24 - 
       (11*t[31])/6 + t[32]/3 - t[33]/3 - t[34]/6 + t[35]/2 + (5*t[36])/4 - 
       (4*t[37])/3 - (11*t[38])/36 - (121*t[39])/48 + (33*t[40])/16 + 
       t[41]/12 - t[42]/12 - t[43]/6 - t[44]/8 - 2*t[45] + t[46]/9 + 
       (13*t[47])/3 - (1349*t[48])/384 - (1009*t[49])/576 + 
       (4537*t[50])/1152 - (1795*t[51])/1152 - (4729*t[52])/1152 - 
       (709*t[53])/192 - (6425*t[54])/1152 - (5*t[59])/2 + (2399*t[60])/576 + 
       (1679*t[61])/576 - (38693*t[62])/1152 + (6373*t[63])/1152 + 
       (19291*t[64])/1152 - (24721*t[65])/1728 - (42107*t[66])/1728 + 
       t[67]/12 - (3*t[69])/2 + (5*t[70])/6 - (5*t[71])/6 + t[72]/6 - 
       (25*t[73])/4 + t[74]/4 - (139*t[75])/12 + (4*t[76])/9 - 
       (25*t[77])/12 - (49*t[78])/18 + (9*t[79])/4 + (16*t[80])/3 - 
       (23*t[81])/18 + (15*t[82])/8 + (1025*t[83])/36 - (167*t[84])/192 + 
       (1015*t[85])/576 + (997*t[86])/36 + (4399*t[87])/576 + 
       (3151*t[88])/1152 - (3473*t[89])/384 + t[96]/2 + t[97]/3 + 
       (5*t[98])/2 - (9*t[99])/2 + (65*t[100])/12) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((5*t[1])/8 - (26*t[2])/9 - (67*t[3])/144 - (7193*t[4])/576 - t[5]/8 - 
       (11987*t[6])/576 + (29*t[7])/2 - (2225*t[8])/72 + (653*t[9])/96 + 
       (2117*t[10])/1152 - (725*t[11])/576 + (163*t[12])/384 - 
       (4573*t[13])/576 + (53623*t[14])/6912 - (24731*t[15])/10368 - 
       (13*t[20])/18 - (11*t[24])/6 - (3*t[26])/4 - t[27]/3 - (55*t[28])/9 - 
       (103*t[29])/24 - (49*t[30])/9 + (17*t[31])/6 - (10*t[32])/9 - 
       (8*t[33])/9 - (49*t[34])/36 + 11*t[35] + (5*t[36])/4 - t[37]/2 + 
       (3*t[38])/4 + (65*t[39])/72 - (13*t[40])/36 + t[41]/8 - t[42]/8 + 
       t[43] + (41*t[44])/24 - t[46]/2 - t[47]/6 - (2851*t[48])/192 + 
       (3143*t[49])/1152 + (1631*t[50])/576 - (1427*t[51])/2304 - 
       (2639*t[52])/576 - (1991*t[53])/1152 - (1151*t[54])/96 - t[58]/4 - 
       (5*t[59])/8 + (4885*t[60])/576 + (341*t[61])/576 - 
       (40663*t[62])/1152 + (1567*t[63])/128 + (1505*t[64])/128 - 
       (29971*t[65])/1728 - (29009*t[66])/1728 + t[67]/12 + (8*t[69])/3 - 
       t[70] + t[71] - (35*t[73])/12 - (19*t[74])/12 - (41*t[75])/4 + 
       (145*t[76])/36 - (5*t[77])/4 - (115*t[78])/18 - t[79]/12 + 
       (11*t[80])/2 - (31*t[81])/36 + (49*t[82])/24 + (1009*t[83])/36 - 
       (565*t[84])/192 + (269*t[85])/64 + (1013*t[86])/36 + (149*t[87])/64 + 
       (31*t[88])/384 - (8513*t[89])/1152 + (3*t[96])/2 + (5*t[97])/4 + 
       (51*t[98])/2 - (55*t[99])/2 + (67*t[100])/12) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      (t[1]/36 - (413*t[2])/432 + (625*t[3])/72 - (731*t[4])/72 - 
       (11*t[5])/72 - (2659*t[6])/144 + (905*t[7])/48 - (2821*t[8])/72 + 
       (5*t[9])/2 - (181*t[10])/48 + (857*t[11])/144 - (109*t[12])/144 - 
       (563*t[13])/81 + t[14]/288 - (109*t[15])/324 + t[18]/2 - (4*t[20])/3 - 
       t[22] - (65*t[28])/12 - (21*t[29])/8 + (35*t[30])/6 + t[31]/2 - 
       (77*t[32])/18 + (11*t[33])/9 - (73*t[34])/18 - (10*t[35])/3 + 
       3*t[36] + t[37]/2 + (7*t[38])/18 - (233*t[39])/144 + (343*t[40])/144 + 
       (7*t[41])/18 - (7*t[42])/18 + t[43] + (517*t[44])/144 + (7*t[45])/4 - 
       (35*t[47])/36 - (535*t[48])/48 - (589*t[49])/144 + (419*t[50])/36 + 
       (239*t[51])/96 - (155*t[52])/12 + (175*t[53])/48 - (1055*t[54])/144 - 
       (539*t[59])/216 + (41*t[60])/8 + (247*t[61])/144 - (829*t[62])/36 + 
       (189*t[63])/8 + (2921*t[64])/144 - (1711*t[65])/108 + 
       (2977*t[66])/216 + t[67]/12 - (13*t[69])/6 + (2*t[70])/3 - 
       (2*t[71])/3 - t[72] - (25*t[73])/4 + (20*t[74])/9 - (19*t[75])/4 - 
       (163*t[76])/36 - (107*t[77])/36 + (37*t[78])/9 - (5*t[79])/6 + 
       (19*t[80])/18 - (29*t[81])/8 + (29*t[82])/8 + (145*t[83])/12 - 
       (97*t[84])/72 - (743*t[85])/144 + (139*t[86])/6 + (65*t[87])/18 + 
       (13*t[88])/12 - (1013*t[89])/144 + (8*t[95])/9 - (2*t[96])/3 - 
       (25*t[97])/36 - (221*t[98])/6 + (209*t[99])/6 + (71*t[100])/12) + 
     B10[v, w, u]*HPL[{1}, 1 - v]*(t[3] - 2*t[4] + (7*t[5])/2 - 3*t[6] - 
       t[7] - 3*t[8] - (9*t[9])/2 + t[10] - 2*t[11] - t[12]/2 - t[13]/2 - 
       (25*t[14])/6 + (11*t[15])/12 + 2*t[50] - 2*t[52] - 2*t[54] - 6*t[60] - 
       6*t[61] + 2*t[62] + 6*t[63] + 3*t[64] + (5*t[65])/3 + 11*t[66] - 
       2*t[81] + 2*t[82] + 2*t[83] - t[84] - 2*t[85] + 4*t[87] + 2*t[88] - 
       t[89] + 6*t[100]) + B10[w, u, v]*HPL[{1}, 1 - w]*
      (t[3] - 4*t[4] + t[5]/2 - t[6] - t[7] + 2*t[8] - t[9]/2 + 2*t[10] - 
       6*t[11] + t[12]/2 - (23*t[13])/6 - (7*t[14])/3 + t[15]/4 - t[49] + 
       t[51]/2 + t[53] + 2*t[54] - 6*t[60] - 6*t[61] + 2*t[62] + 6*t[63] + 
       3*t[64] + (5*t[65])/3 + 11*t[66] - 2*t[81] + 2*t[82] + 2*t[83] - 
       t[84] - 2*t[85] + 4*t[87] + 2*t[88] - t[89] + 6*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (-2*t[3] + (13*t[5])/4 - 4*t[6] - t[7]/2 - (25*t[8])/2 - (33*t[9])/4 + 
       (13*t[10])/2 - (5*t[11])/2 - (13*t[12])/4 - (2*t[13])/3 - 
       (13*t[14])/12 + (89*t[15])/24 - 2*t[28] - 4*t[29] + 4*t[30] - 
       6*t[31] - 12*t[35] + 10*t[44] + 4*t[50] - 4*t[52] - 4*t[54] - 
       8*t[60] - t[61] + (25*t[62])/2 + (63*t[63])/2 - (35*t[64])/2 - 
       (13*t[65])/3 + 15*t[66] - 6*t[72] - 6*t[73] - 6*t[75] + 6*t[79] + 
       2*t[83] - 2*t[84] - 2*t[85] - 26*t[86] + 12*t[87] + 6*t[88] + 
       (5*t[89])/2 + 6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      Omega2[u, v, w]*((-7*t[3])/6 + (9*t[4])/2 - (5*t[5])/12 + 2*t[6] - 
       (7*t[7])/3 - 2*t[8] + (19*t[9])/12 + (13*t[10])/3 - (4*t[11])/3 + 
       (7*t[12])/4 + (49*t[13])/36 + (7*t[14])/18 + (103*t[15])/72 + 
       t[25]/3 - t[26]/3 + t[28] + t[31] - t[35] - 3*t[36] + t[37] + t[39] - 
       t[40] + t[45] + t[46]/3 - 2*t[47] + t[48]/2 + t[49]/2 - (5*t[50])/6 + 
       (5*t[51])/12 + (5*t[52])/6 - t[53]/2 + t[54]/3 + t[59] + 
       (29*t[60])/6 - (7*t[61])/6 + (45*t[62])/4 - (83*t[63])/12 - 
       (187*t[64])/12 + (19*t[65])/9 - (10*t[66])/3 + 4*t[69] - t[70] + 
       t[71] + 2*t[73] + t[74] + 5*t[75] + t[77] + t[78] - 2*t[79] - 
       2*t[80] + t[81] - t[82] - (13*t[83])/2 + (5*t[84])/3 + (5*t[85])/6 - 
       16*t[86] - (41*t[87])/6 - (41*t[88])/12 + (43*t[89])/12 + 6*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*Omega2[w, u, v]*((15*t[2])/2 + (123*t[3])/8 - 
       5*t[4] + (29*t[5])/8 - (25*t[6])/2 - 7*t[7] + t[8] - (199*t[9])/8 - 
       (5*t[10])/4 - 3*t[11] - (21*t[12])/8 - (53*t[13])/9 - (251*t[14])/12 + 
       (53*t[15])/72 - 2*t[20] + 2*t[22] - 2*t[28] + t[29]/2 + 3*t[30] - 
       t[31] + t[32]/2 - t[33] - 2*t[34] - t[36] - t[37] - t[41]/2 + 
       t[42]/2 - t[43]/2 + (13*t[44])/4 + t[46]/2 - t[47] - (5*t[48])/4 + 
       (7*t[49])/2 + (13*t[50])/4 - (11*t[51])/8 - (13*t[52])/4 - 
       (7*t[53])/2 - (23*t[54])/2 - t[59] - (211*t[60])/4 - 22*t[61] - 
       (99*t[62])/8 + (103*t[63])/8 + 37*t[64] + (215*t[65])/12 + 
       (227*t[66])/12 - 2*t[69] + 2*t[72] - t[74] - 3*t[75] - t[77] - 
       2*t[78] + t[80] - 2*t[81] + 2*t[82] + 15*t[83] - (23*t[84])/2 - 
       (13*t[85])/2 + 34*t[86] + (59*t[87])/2 + (51*t[88])/4 - 
       (117*t[89])/8 + 2*t[95] + 6*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      Omega2[u, v, w]*(2*t[1] + (15*t[3])/4 - (105*t[4])/4 - (51*t[5])/8 - 
       (101*t[6])/8 - t[7]/4 - (31*t[8])/4 - (25*t[9])/8 + (11*t[10])/2 - 
       (107*t[11])/8 + (57*t[12])/8 - (229*t[13])/24 - (743*t[14])/48 - 
       (13*t[15])/48 - 2*t[25] + 2*t[27] - t[28] - t[29] - t[31] + 2*t[36] + 
       2*t[38] - t[39] + t[40] - (3*t[46])/2 - (55*t[48])/8 - 5*t[49] + 
       (37*t[50])/8 + (85*t[51])/16 - (37*t[52])/8 + (13*t[53])/2 + 
       (33*t[54])/8 - t[59] - (211*t[60])/4 - 22*t[61] - (99*t[62])/8 + 
       (103*t[63])/8 + 37*t[64] + (215*t[65])/12 + (227*t[66])/12 - 2*t[69] + 
       2*t[72] - t[74] - 3*t[75] - t[77] - 2*t[78] + t[80] - 2*t[81] + 
       2*t[82] + 15*t[83] - (23*t[84])/2 - (13*t[85])/2 + 34*t[86] + 
       (59*t[87])/2 + (51*t[88])/4 - (117*t[89])/8 + 2*t[95] + 6*t[100]) + 
     HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - v]*((17*t[1])/4 - (17*t[2])/2 + 
       (99*t[3])/8 + (383*t[4])/16 + (43*t[5])/32 - (279*t[6])/16 + 
       (251*t[8])/8 - (1561*t[9])/32 + (2613*t[10])/32 - (267*t[11])/8 - 
       (309*t[12])/16 - (11231*t[13])/144 + (251*t[14])/64 + 
       (1789*t[15])/576 - (3*t[17])/4 - 3*t[19] - 6*t[20] - 3*t[21] + 
       12*t[22] + 2*t[23] - (9*t[24])/2 + (7*t[27])/2 - 6*t[28] + 
       (3*t[29])/4 + 16*t[30] + 2*t[31] + t[32] - (17*t[33])/2 - 
       (25*t[34])/2 + 10*t[35] + 8*t[36] + (9*t[38])/2 + (21*t[40])/4 - 
       (13*t[41])/4 + (13*t[42])/4 - (45*t[43])/16 - (161*t[44])/8 + 
       (25*t[45])/2 + (7*t[46])/4 - (55*t[47])/4 + (367*t[48])/16 + 
       (755*t[49])/32 - (93*t[50])/16 - (947*t[51])/64 + (5*t[52])/16 - 
       (563*t[53])/32 - (69*t[54])/8 - (3*t[55])/4 + (3*t[56])/2 + 3*t[57] - 
       (5*t[59])/4 - (1455*t[60])/16 - (393*t[61])/16 - (1443*t[62])/32 + 
       (11*t[63])/32 - (865*t[64])/32 - (379*t[65])/48 + (5635*t[66])/48 + 
       (3*t[68])/2 - 4*t[72] - 4*t[73] - 2*t[75] - (35*t[76])/4 - 
       (5*t[77])/2 - (63*t[78])/4 + 28*t[79] - (101*t[80])/2 - (43*t[81])/4 + 
       (25*t[82])/2 + 37*t[83] - (489*t[84])/16 - (271*t[85])/16 + 
       (201*t[86])/4 + (391*t[87])/16 + (375*t[88])/32 - (321*t[89])/32 + 
       t[91]/12 - t[93] + 9*t[96] + 4*t[97] + 6*t[100]) + 
     HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w]*((-7*t[1])/4 - (3*t[2])/8 + 
       (263*t[3])/16 + (23*t[4])/2 - (955*t[5])/32 - (709*t[6])/32 + 
       (1143*t[7])/16 - (1467*t[8])/16 + (1197*t[9])/32 - 6*t[10] + 
       (433*t[11])/32 + (589*t[12])/32 - (13609*t[13])/288 - 
       (1927*t[14])/48 - (3527*t[15])/192 - (3*t[16])/4 - 6*t[25] + 3*t[26] - 
       (9*t[27])/2 - 14*t[28] + (9*t[29])/2 + (3*t[30])/2 - 2*t[31] + 
       3*t[32] - 3*t[33] - (9*t[34])/2 - 18*t[35] + (3*t[36])/2 + 2*t[37] - 
       t[38] - (9*t[39])/4 - t[40]/4 + (9*t[41])/4 - (9*t[42])/4 - 
       (75*t[43])/8 - (9*t[44])/4 + (33*t[45])/8 - (15*t[46])/4 - 
       (21*t[47])/4 - (769*t[48])/32 + (293*t[49])/16 + (1123*t[50])/32 - 
       (121*t[51])/16 - (947*t[52])/32 - (101*t[53])/16 - (1175*t[54])/32 + 
       (3*t[58])/2 - (5*t[59])/4 - (1455*t[60])/16 - (393*t[61])/16 - 
       (1443*t[62])/32 + (11*t[63])/32 - (865*t[64])/32 - (379*t[65])/48 + 
       (5635*t[66])/48 + (3*t[68])/2 - 4*t[72] - 4*t[73] - 2*t[75] - 
       (35*t[76])/4 - (5*t[77])/2 - (63*t[78])/4 + 28*t[79] - (101*t[80])/2 - 
       (43*t[81])/4 + (25*t[82])/2 + 37*t[83] - (489*t[84])/16 - 
       (271*t[85])/16 + (201*t[86])/4 + (391*t[87])/16 + (375*t[88])/32 - 
       (321*t[89])/32 + t[91]/12 - t[93] + 9*t[96] + 4*t[97] + 6*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      ((-2*t[1])/3 + (4*t[2])/3 - (67*t[3])/12 - (15*t[4])/4 + (5*t[5])/12 + 
       (257*t[6])/48 - (181*t[7])/12 + t[8]/4 - (5*t[9])/24 + (97*t[10])/24 - 
       (605*t[11])/48 - (77*t[12])/24 - (65*t[13])/27 + (97*t[14])/18 + 
       (289*t[15])/432 - (2*t[27])/3 + 2*t[28] - (7*t[29])/6 + t[30] - 
       (8*t[31])/3 - (8*t[32])/3 + (8*t[33])/3 + (2*t[34])/3 - 2*t[35] - 
       t[36] + 2*t[37] - t[38]/3 - t[39]/3 - t[40]/2 - t[41]/3 + t[42]/3 - 
       (4*t[43])/3 - (2*t[44])/3 - t[46]/2 - (2*t[47])/3 + (29*t[48])/16 - 
       (41*t[49])/24 - (185*t[50])/48 + (7*t[51])/48 + (217*t[52])/48 + 
       (3*t[53])/8 + (83*t[54])/16 + (2*t[59])/3 - (15*t[60])/8 - 
       (43*t[61])/8 + (583*t[62])/48 - (167*t[63])/48 - (601*t[64])/48 + 
       (527*t[65])/72 - (107*t[66])/72 + 2*t[69] + (10*t[72])/3 + 2*t[74] - 
       2*t[75] - (14*t[76])/3 + (4*t[77])/3 + (28*t[78])/3 + 4*t[79] - 
       (28*t[80])/3 + (13*t[81])/3 + 3*t[83] + (155*t[84])/24 - 
       (5*t[85])/24 - (40*t[86])/3 + (7*t[87])/24 + (7*t[88])/48 + 
       (49*t[89])/48 - 2*t[96] - (4*t[97])/3 - 16*t[98] + 16*t[99] + 
       6*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^3*
      ((5*t[1])/12 + (7*t[2])/4 + (83*t[3])/32 - (119*t[4])/32 - 
       (1699*t[5])/192 - (1433*t[6])/192 + (1445*t[7])/96 - (1853*t[8])/96 + 
       (431*t[9])/64 - (875*t[10])/192 + (591*t[11])/64 + (697*t[12])/96 - 
       (1271*t[13])/576 - (19265*t[14])/1152 - (187*t[15])/384 - t[16]/6 - 
       (7*t[25])/6 + t[26]/6 + t[27]/3 - (23*t[28])/6 - t[29]/4 + 
       (7*t[30])/4 - (4*t[31])/3 + t[32]/2 - t[33]/2 - t[34]/2 - 6*t[35] + 
       t[36]/6 + t[37] + t[38]/3 - (13*t[39])/12 - (29*t[40])/24 + t[41]/4 - 
       t[42]/4 - (29*t[43])/16 + (5*t[44])/8 + (27*t[45])/16 - (23*t[47])/8 - 
       (439*t[48])/64 - (523*t[49])/192 + (837*t[50])/64 + (889*t[51])/384 - 
       (677*t[52])/64 + (811*t[53])/192 - (1633*t[54])/192 + t[58]/2 - 
       (7*t[59])/12 - (643*t[60])/24 - (475*t[61])/16 - (235*t[62])/48 - 
       (123*t[63])/16 + (1421*t[64])/96 + (139*t[65])/144 + 
       (2083*t[66])/144 + t[68]/3 - t[69]/2 + (4*t[72])/3 - (13*t[73])/6 - 
       (23*t[75])/6 - (31*t[76])/4 - (2*t[77])/3 + (67*t[78])/12 + 
       (29*t[79])/3 - (47*t[80])/4 - (9*t[81])/4 + (43*t[82])/12 + 
       (143*t[83])/12 - (43*t[84])/8 - (65*t[85])/12 + (131*t[86])/8 + 
       (265*t[87])/16 + (233*t[88])/32 - (239*t[89])/48 + t[91]/72 - 
       t[93]/6 + t[95] - t[97]/2 - 27*t[98] + 29*t[99] + (19*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, u, w]*(-t[1]/2 - (3*t[2])/2 - 
       (11*t[3])/12 + (5*t[4])/4 + (23*t[5])/24 - (5*t[6])/6 + (7*t[7])/4 - 
       (23*t[8])/4 + (23*t[9])/8 + (17*t[10])/24 + (35*t[11])/12 + 
       (13*t[12])/6 - (5*t[13])/9 + (455*t[14])/144 + (71*t[15])/144 + 
       t[20] - t[22] + (2*t[31])/3 + t[37] + t[43]/3 - (3*t[48])/2 - 
       (7*t[49])/24 + (7*t[50])/6 + t[51]/16 - (7*t[52])/6 + (7*t[53])/24 - 
       (11*t[54])/12 + (43*t[60])/12 - (9*t[61])/4 + t[62]/6 + (11*t[63])/2 - 
       (55*t[64])/8 - (13*t[65])/3 + (89*t[66])/36 + t[69] - t[72] - 
       2*t[80] - t[82]/3 + t[83]/2 - t[84]/6 + t[85]/6 - (7*t[86])/3 - 
       (19*t[87])/6 - (19*t[88])/12 + t[89]/8 + 7*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      (t[1]/6 - (23*t[2])/6 + (15*t[3])/2 + (277*t[4])/24 + 7*t[5] - 
       19*t[6] - (17*t[7])/4 - (229*t[8])/12 - (109*t[9])/12 + 
       (23*t[10])/48 - (3*t[11])/2 - (125*t[12])/48 + (659*t[13])/108 - 
       (451*t[14])/32 - (371*t[15])/144 - 2*t[26] + (4*t[27])/3 - 
       (5*t[28])/3 - (4*t[29])/3 + (4*t[30])/3 + (17*t[31])/3 + t[34]/3 + 
       4*t[35] - 2*t[36] - 2*t[37] + (4*t[38])/3 + t[40] - t[41]/6 + 
       t[42]/6 + t[43]/3 + (4*t[44])/3 - (53*t[48])/6 + (27*t[49])/16 - 
       (16*t[50])/3 + (41*t[51])/32 - t[52]/3 - (17*t[53])/48 - 
       (49*t[54])/24 - t[58] - (2*t[59])/3 + (183*t[60])/8 - (53*t[61])/8 + 
       (281*t[62])/48 + (95*t[63])/48 - (1619*t[64])/48 - (1481*t[65])/72 - 
       (181*t[66])/72 - t[69] - t[72]/3 + 2*t[74] - 5*t[75] + (23*t[76])/3 + 
       (5*t[77])/3 - (4*t[78])/3 + 2*t[79] + (13*t[80])/3 + (13*t[81])/6 + 
       (11*t[82])/2 + 8*t[83] - (95*t[84])/24 + (179*t[85])/24 - 
       (20*t[86])/3 - (469*t[87])/24 - (469*t[88])/48 - (481*t[89])/48 + 
       2*t[96] + (7*t[97])/3 + 64*t[98] - 64*t[99] + 7*t[100]) + 
     HPL[{0, 1}, 1 - v]*M1[u, v, w]*(-t[1]/6 - (8*t[2])/3 + (55*t[3])/6 + 
       (3*t[4])/4 + (79*t[5])/24 - (779*t[6])/96 - (227*t[7])/24 - 
       (135*t[8])/8 - (679*t[9])/48 - (131*t[10])/24 - (397*t[11])/96 - 
       (113*t[12])/24 + (85*t[13])/108 - (3959*t[14])/288 - 
       (3553*t[15])/864 + t[19] - t[20] - t[21] + t[23] - (2*t[27])/3 - 
       t[28] - (41*t[29])/12 - t[30]/2 + t[31]/3 - (2*t[32])/3 + 
       (2*t[33])/3 - (10*t[34])/3 + 2*t[35] - t[36] - 2*t[37] + (2*t[38])/3 - 
       (19*t[39])/12 + (5*t[40])/2 - t[41]/3 + t[42]/3 - t[43]/3 + 
       (43*t[44])/12 + (7*t[45])/2 - t[46]/2 - (19*t[47])/6 - (35*t[48])/32 - 
       (41*t[49])/24 + (239*t[50])/96 + (79*t[51])/48 - (463*t[52])/96 + 
       (3*t[53])/8 - (57*t[54])/32 - t[59]/12 - (143*t[60])/16 - 
       (263*t[61])/16 + (431*t[62])/96 - (511*t[63])/96 + (151*t[64])/96 + 
       (523*t[65])/144 + (545*t[66])/144 - t[69] + t[72]/3 - 3*t[73] + 
       t[75] - (43*t[76])/6 - (5*t[77])/3 + (22*t[78])/3 + t[79] - t[80]/3 - 
       (8*t[81])/3 + (3*t[82])/2 + (3*t[83])/2 + (199*t[84])/48 - 
       (73*t[85])/48 + (23*t[86])/3 + (407*t[87])/48 + (407*t[88])/96 - 
       (391*t[89])/96 - 2*t[96] - (11*t[97])/6 - 46*t[98] + 46*t[99] + 
       7*t[100]) + HPL[{0, 1}, 1 - w]*M1[u, v, w]*((-11*t[1])/12 + 
       (23*t[2])/6 - (3*t[3])/4 - (257*t[4])/48 - 4*t[5] + (19*t[6])/8 + 
       (9*t[7])/2 + (23*t[8])/6 + (19*t[9])/3 - (187*t[10])/96 - 
       (19*t[11])/8 + (457*t[12])/96 - (1961*t[13])/432 - (143*t[14])/192 + 
       (349*t[15])/288 - t[19] + t[21] - t[23] + (3*t[26])/2 + (2*t[27])/3 + 
       (2*t[28])/3 - (2*t[29])/3 + (2*t[30])/3 - (8*t[31])/3 + t[34]/6 - 
       6*t[35] + 2*t[37] - (4*t[38])/3 - t[40] - t[41]/12 + t[42]/12 - 
       t[43]/3 - t[44]/3 + t[46]/2 + (11*t[48])/24 - (147*t[49])/32 + 
       (167*t[50])/24 + (55*t[51])/64 - (91*t[52])/24 + (313*t[53])/96 - 
       (25*t[54])/48 + t[58]/2 - t[59]/12 - (143*t[60])/16 - (263*t[61])/16 + 
       (431*t[62])/96 - (511*t[63])/96 + (151*t[64])/96 + (523*t[65])/144 + 
       (545*t[66])/144 - t[69] + t[72]/3 - 3*t[73] + t[75] - (43*t[76])/6 - 
       (5*t[77])/3 + (22*t[78])/3 + t[79] - t[80]/3 - (8*t[81])/3 + 
       (3*t[82])/2 + (3*t[83])/2 + (199*t[84])/48 - (73*t[85])/48 + 
       (23*t[86])/3 + (407*t[87])/48 + (407*t[88])/96 - (391*t[89])/96 - 
       2*t[96] - (11*t[97])/6 - 46*t[98] + 46*t[99] + 7*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (-18*t[2] + (369*t[3])/16 - (55*t[4])/36 - (905*t[5])/288 + 
       (989*t[6])/32 - (8761*t[7])/144 + (15539*t[8])/144 - 
       (10885*t[9])/288 + (353*t[10])/144 - (3209*t[11])/96 - (37*t[12])/96 - 
       (565*t[13])/54 - (1429*t[14])/108 + (4475*t[15])/1728 + 4*t[20] + 
       (45*t[29])/4 - (27*t[30])/4 - t[31] - (9*t[32])/2 - 12*t[34] + 
       6*t[35] + (5*t[36])/4 + (9*t[40])/8 - (159*t[44])/8 + 
       (1467*t[48])/32 - (35*t[49])/72 - (785*t[50])/32 - (5*t[51])/24 + 
       (785*t[52])/32 + (35*t[53])/72 + (8981*t[54])/288 + 6*t[59] - 
       (6457*t[60])/144 - (2741*t[61])/144 + (13079*t[62])/288 + 
       (1379*t[63])/96 + (6635*t[64])/288 + (16153*t[65])/432 + 
       (15317*t[66])/144 + (19*t[69])/6 - t[72] - (5*t[73])/4 - 
       (121*t[75])/12 - (9*t[76])/4 + (5*t[79])/4 + (239*t[83])/18 - 
       (1453*t[84])/144 - (1453*t[85])/144 - (283*t[86])/36 - 
       (905*t[87])/48 - (893*t[88])/96 + (8383*t[89])/288 + (85*t[100])/12) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      (-t[1]/8 + (151*t[2])/96 + (635*t[3])/576 - (95*t[4])/288 - 
       (215*t[5])/576 - (2983*t[6])/768 + (1037*t[7])/192 + (1667*t[8])/576 - 
       (45*t[9])/128 - (1331*t[10])/576 + (4213*t[11])/2304 - (23*t[12])/64 - 
       (6589*t[13])/1728 + (3833*t[14])/2304 - (11947*t[15])/6912 - t[20]/3 - 
       t[25]/9 + t[26]/9 + (5*t[27])/12 - (31*t[28])/24 - t[29]/12 + 
       (7*t[30])/48 - (2*t[31])/3 + t[32]/6 - t[33]/2 - t[34]/6 + t[35]/3 - 
       (7*t[36])/8 + t[38]/12 - (61*t[39])/96 + (25*t[40])/32 + t[41]/12 - 
       t[42]/12 - (25*t[43])/24 - t[44]/16 - t[45] + (11*t[46])/36 + 
       (13*t[47])/6 - (487*t[48])/256 + (1169*t[49])/576 + 
       (5353*t[50])/2304 - (1393*t[51])/1152 - (5737*t[52])/2304 - 
       (977*t[53])/576 - (1543*t[54])/768 - t[59]/12 - (4483*t[60])/1152 - 
       (2177*t[61])/384 - (40247*t[62])/2304 + (16775*t[63])/2304 + 
       (38033*t[64])/2304 - (169*t[65])/128 + (1127*t[66])/384 - t[69]/3 - 
       t[70]/12 + t[71]/12 - (7*t[72])/12 - (11*t[73])/8 + (11*t[74])/24 + 
       (23*t[75])/24 + (11*t[76])/12 - (11*t[77])/24 - (11*t[78])/6 - 
       (13*t[79])/2 + (5*t[80])/2 - (25*t[81])/24 + t[82]/48 + 
       (407*t[83])/72 - (1085*t[84])/384 - (523*t[85])/1152 + 
       (653*t[86])/36 + (3533*t[87])/1152 + (3533*t[88])/2304 - 
       (3449*t[89])/2304 + t[96]/2 + t[97]/3 + (19*t[98])/4 - (23*t[99])/4 + 
       (175*t[100])/24) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-7*t[1])/4 + t[2]/2 + (295*t[3])/144 - 
       (116*t[4])/9 - (1235*t[5])/288 - (23*t[6])/3 + (47*t[7])/4 - 
       (1357*t[8])/72 + (941*t[9])/96 - (517*t[10])/36 + (1273*t[11])/72 + 
       (191*t[12])/32 + (7445*t[13])/864 - (337*t[14])/36 - 
       (1091*t[15])/576 - t[19] + t[21] - t[23] + (41*t[25])/18 + 
       (2*t[26])/9 + t[27]/2 - 2*t[29] - t[30] - 2*t[35] - t[36] - 
       (19*t[37])/6 - (3*t[38])/2 - t[41]/2 + t[42]/2 + (13*t[44])/4 - 
       t[45]/2 + (173*t[46])/72 + 7*t[47] - (179*t[48])/48 - (49*t[49])/72 + 
       (395*t[50])/144 + (295*t[51])/288 - (395*t[52])/144 + (49*t[53])/72 - 
       (269*t[54])/48 - (29*t[59])/12 + (373*t[60])/72 + (97*t[61])/24 - 
       (4759*t[62])/144 - (4589*t[63])/144 + (5293*t[64])/144 + 
       (175*t[65])/9 - (125*t[66])/4 - t[67]/2 - (19*t[69])/3 + 
       (19*t[70])/6 - (19*t[71])/6 - t[72] + (19*t[73])/3 + (9*t[74])/4 - 
       t[75] - (3*t[77])/2 + (5*t[79])/4 + 7*t[80] + (4*t[81])/3 - 
       (11*t[82])/6 - (559*t[83])/36 - (9*t[84])/8 + (61*t[85])/72 + 
       (421*t[86])/36 - (191*t[87])/72 - (191*t[88])/144 + (911*t[89])/144 + 
       (89*t[100])/12) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*(-12*t[1] - (181*t[4])/16 + (71*t[5])/96 - 
       (5*t[6])/24 - (17*t[7])/16 - (91*t[8])/48 - (199*t[9])/96 + 
       (121*t[10])/96 - (1201*t[11])/48 + (281*t[12])/12 - (455*t[13])/48 - 
       (6673*t[14])/192 + (34727*t[15])/1728 + 12*t[26] - (25*t[28])/12 + 
       (5*t[31])/6 + (5*t[35])/3 - 12*t[38] + (5*t[44])/12 - (25*t[48])/24 + 
       (379*t[49])/32 + (5*t[50])/24 - (37*t[51])/64 - (5*t[52])/24 - 
       (235*t[53])/32 + (317*t[54])/48 + 6*t[59] - (2099*t[60])/48 - 
       (947*t[61])/48 + (4313*t[62])/96 + (333*t[63])/32 + (2285*t[64])/96 + 
       (1837*t[65])/48 + (15137*t[66])/144 + 4*t[69] - t[72]/6 - 
       (5*t[73])/12 - (37*t[75])/4 - (9*t[76])/4 + (5*t[79])/12 + 
       (57*t[83])/4 - (157*t[84])/16 - (157*t[85])/16 - (71*t[86])/12 - 
       (985*t[87])/48 - (973*t[88])/96 + (2801*t[89])/96 + (15*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((10*t[4])/3 + (7*t[5])/12 - (7*t[7])/6 - (7*t[8])/6 - (7*t[9])/12 + 
       (5*t[10])/6 + (3*t[11])/2 + (7*t[12])/4 + (28*t[13])/9 - 
       (131*t[14])/36 + (47*t[15])/72 - 2*t[36] + t[49]/3 + (4*t[51])/3 - 
       t[53]/3 - (4*t[54])/3 + (7*t[59])/3 + (10*t[60])/3 - (25*t[61])/3 + 
       (43*t[62])/6 - (25*t[63])/2 - (7*t[64])/2 + (149*t[65])/9 - 
       (7*t[66])/9 + 2*t[73] + 10*t[75] - 2*t[79] - (40*t[83])/3 + 
       (4*t[84])/3 + (4*t[85])/3 - (14*t[86])/3 - 6*t[87] - (5*t[88])/3 + 
       (17*t[89])/6 + 8*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((-29*t[2])/3 + (29*t[3])/3 + (7*t[5])/12 + 
       (5*t[6])/3 - (19*t[7])/6 + (5*t[8])/6 + (7*t[9])/4 + (7*t[10])/6 - 
       (17*t[11])/6 - (7*t[12])/12 + (5*t[13])/9 - (43*t[14])/36 - 
       (103*t[15])/24 + (22*t[28])/3 + (8*t[29])/3 - (8*t[30])/3 - 
       (14*t[44])/3 + 3*t[48] - (5*t[50])/3 + (5*t[52])/3 + (5*t[54])/3 + 
       (7*t[59])/3 + (10*t[60])/3 - (25*t[61])/3 + (43*t[62])/6 - 
       (25*t[63])/2 - (7*t[64])/2 + (149*t[65])/9 - (7*t[66])/9 + 2*t[73] + 
       10*t[75] - 2*t[79] - (40*t[83])/3 + (4*t[84])/3 + (4*t[85])/3 - 
       (14*t[86])/3 - 6*t[87] - (5*t[88])/3 + (17*t[89])/6 + 8*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (-t[1] - (17*t[3])/12 - (67*t[4])/12 + (3*t[5])/4 - (5*t[6])/6 - 
       (23*t[7])/3 + (13*t[8])/3 - (2*t[9])/3 - (65*t[10])/24 - 
       (121*t[11])/12 + (7*t[12])/24 - (58*t[13])/9 + (43*t[14])/144 - 
       (13*t[15])/9 + (14*t[28])/3 + t[29]/3 - (4*t[30])/3 + t[31]/3 - 
       t[32] + t[33] + 4*t[35] + t[36] + 2*t[37] - t[39] + t[40] - 
       (5*t[43])/6 - (13*t[44])/3 - t[45] - (3*t[46])/2 + 2*t[47] + 
       (5*t[48])/4 - (7*t[49])/24 - (7*t[50])/4 - t[51]/16 + (7*t[52])/4 + 
       (7*t[53])/24 + (17*t[54])/6 - (5*t[60])/2 - (149*t[61])/6 + t[62]/2 + 
       (3*t[63])/2 + (83*t[64])/12 + (149*t[65])/9 + (341*t[66])/18 + 
       2*t[72] + 2*t[73] + 2*t[75] + 2*t[79] - 4*t[80] + (4*t[82])/3 - 
       (13*t[83])/3 + t[84] - t[85]/3 + (32*t[86])/3 - (7*t[87])/3 - 
       (7*t[88])/6 + (43*t[89])/12 + 8*t[100]) + HPL[{0, 1}, 1 - v]*
      M1[v, w, u]*(-t[1]/3 - t[2]/12 + (25*t[3])/12 - t[4]/4 + (5*t[5])/6 - 
       (271*t[6])/96 - (85*t[7])/24 - (77*t[8])/8 + (175*t[9])/48 - 
       (49*t[10])/24 - (257*t[11])/96 - (5*t[12])/12 - (133*t[13])/108 + 
       (473*t[14])/288 - (2987*t[15])/864 - t[27]/3 - t[28] - (13*t[29])/12 - 
       (3*t[30])/2 + (2*t[31])/3 - t[32]/3 + t[33]/3 + t[34]/3 + 2*t[35] - 
       t[36] - t[37] - t[38]/6 - (5*t[39])/12 - t[41]/6 + t[42]/6 - t[43]/6 - 
       (13*t[44])/12 - t[46]/2 - t[47]/3 - (7*t[48])/32 + (35*t[49])/24 + 
       (67*t[50])/96 - (25*t[51])/48 - (35*t[52])/96 - (17*t[53])/8 - 
       (21*t[54])/32 - (2*t[59])/3 + (125*t[60])/16 - (251*t[61])/16 + 
       (187*t[62])/96 - (107*t[63])/96 - (829*t[64])/96 - (1441*t[65])/144 - 
       (251*t[66])/144 - t[69] - t[72]/3 - 3*t[73] + t[75] - (7*t[76])/3 - 
       (4*t[77])/3 + (11*t[78])/3 + t[79] + (4*t[80])/3 - (5*t[81])/6 + 
       t[82] + (7*t[83])/2 + (83*t[84])/48 + (163*t[85])/48 + (19*t[86])/3 - 
       (341*t[87])/48 - (341*t[88])/96 - (515*t[89])/96 - t[96] - 
       (2*t[97])/3 - 14*t[98] + 14*t[99] + 8*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      (-2*t[1] + (5*t[2])/2 + (65*t[3])/4 - (73*t[4])/4 + (15*t[5])/4 - 
       (119*t[6])/8 + (5*t[7])/2 - 30*t[8] - (9*t[9])/4 - (79*t[10])/8 - 
       (163*t[11])/8 - (11*t[12])/8 - (413*t[13])/36 - (785*t[14])/48 - 
       (281*t[15])/24 - 2*t[27] - 4*t[28] - 2*t[29] - 2*t[30] + 2*t[34] + 
       6*t[35] - t[36] - 2*t[37] - t[38] - (7*t[39])/2 + (3*t[40])/2 - 
       t[41] + t[42] + (21*t[44])/2 - t[46]/2 - 2*t[47] - (51*t[48])/8 + 
       (3*t[49])/8 + (65*t[50])/8 + (7*t[51])/16 - (49*t[52])/8 - 
       (35*t[53])/8 - (27*t[54])/8 - 2*t[59] - t[60]/4 - (295*t[61])/4 - 
       (37*t[62])/8 + (125*t[63])/8 + (143*t[64])/8 - (19*t[65])/12 + 
       (85*t[66])/4 - 2*t[69] + 2*t[72] - 6*t[73] - 2*t[74] - 4*t[75] - 
       12*t[76] - 6*t[77] + 16*t[78] + 6*t[79] + 4*t[80] - 4*t[81] + 
       8*t[82] + 11*t[83] + (37*t[84])/4 + (45*t[85])/4 + 54*t[86] + 
       (11*t[87])/4 + (11*t[88])/8 - (171*t[89])/8 - 6*t[96] - 4*t[97] - 
       60*t[98] + 60*t[99] + 8*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*(t[1] - (47*t[2])/8 - 
       (59*t[3])/24 - (173*t[4])/12 - (883*t[5])/48 - (673*t[6])/24 + 
       (1957*t[7])/48 - (1753*t[8])/48 + (165*t[9])/8 - (591*t[10])/16 + 
       (1561*t[11])/48 + (569*t[12])/48 + (31*t[13])/32 - (2179*t[14])/144 - 
       (475*t[15])/36 + 3*t[19] - (5*t[20])/3 - 4*t[21] + 4*t[23] - t[24] - 
       (31*t[28])/6 + (4*t[29])/3 - (2*t[30])/3 - (14*t[31])/3 + 2*t[32] - 
       (8*t[33])/3 + 14*t[35] + (11*t[36])/6 - (11*t[37])/2 - 5*t[39] + 
       4*t[40] - (5*t[41])/4 + (5*t[42])/4 + (59*t[43])/48 + (29*t[44])/6 - 
       (37*t[45])/8 - (3*t[46])/4 + (55*t[47])/4 - (857*t[48])/48 - 
       (25*t[49])/12 + (703*t[50])/48 + (85*t[51])/48 - (847*t[52])/48 + 
       (25*t[53])/12 - (367*t[54])/48 - t[59] - (1175*t[60])/24 - 
       (33*t[61])/2 - (983*t[62])/12 - (3*t[63])/2 + (905*t[64])/8 - 
       (353*t[65])/18 + (595*t[66])/72 - t[68]/2 + (13*t[69])/6 - 6*t[72] + 
       (37*t[73])/6 - (11*t[74])/2 - 8*t[75] - 3*t[76] - 6*t[77] - 17*t[78] + 
       (25*t[79])/3 + (35*t[80])/2 - 11*t[81] + (71*t[82])/6 + (79*t[83])/4 - 
       (191*t[84])/24 + (205*t[85])/24 + (611*t[86])/6 + (581*t[87])/24 + 
       (581*t[88])/48 - (443*t[89])/48 - t[93] + t[97] + 16*t[98] - 
       13*t[99] + (33*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((-4*t[1])/3 - (83*t[2])/6 + 
       (32*t[3])/9 + 31*t[4] - (1717*t[5])/144 - (883*t[6])/18 + 
       (769*t[7])/72 - (9383*t[8])/72 + (931*t[9])/48 + (1559*t[10])/72 + 
       (3005*t[11])/72 - (3299*t[12])/144 + (367*t[13])/27 - 
       (2855*t[14])/432 - (3421*t[15])/96 + 4*t[22] - (4*t[27])/3 + 
       (19*t[28])/18 + (113*t[29])/18 - (58*t[30])/9 + 7*t[31] + 
       (17*t[32])/2 - 7*t[33] + (8*t[34])/3 + (50*t[35])/3 - 10*t[36] - 
       (2*t[38])/3 - (8*t[39])/3 + t[40]/2 + t[41]/3 - t[42]/3 - 
       (8*t[43])/3 + (62*t[44])/9 + t[46] + (2*t[47])/3 - (71*t[48])/3 + 
       (49*t[49])/3 + (230*t[50])/9 - (73*t[51])/12 - (218*t[52])/9 - 
       19*t[53] - (943*t[54])/18 - (8*t[59])/3 + (350*t[60])/9 - 
       (1901*t[61])/36 - (5185*t[62])/72 - (517*t[63])/24 + (767*t[64])/72 - 
       (7817*t[65])/108 - (1499*t[66])/12 + 5*t[72] - (35*t[73])/6 + 
       (4*t[74])/3 - (29*t[75])/6 - (25*t[76])/3 + (2*t[77])/3 + 20*t[78] - 
       (97*t[79])/6 - (26*t[80])/3 + 3*t[81] - (37*t[82])/3 + 
       (935*t[83])/18 - (41*t[84])/18 + (122*t[85])/9 + (937*t[86])/18 - 
       (100*t[87])/3 - (31*t[88])/2 - (2897*t[89])/72 - (4*t[95])/3 - 
       4*t[96] - (8*t[97])/3 - 32*t[98] + 36*t[99] + (25*t[100])/3) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - u]*((-5*t[2])/3 + 2*t[3] - 
       (55*t[4])/12 - (217*t[5])/24 + (7*t[6])/12 + (67*t[7])/12 + 
       (53*t[8])/12 + (75*t[9])/8 + (137*t[10])/24 - (113*t[11])/12 + 
       (14*t[12])/3 - (211*t[13])/36 - (401*t[14])/144 - (319*t[15])/144 - 
       (2*t[20])/3 - 5*t[24] - (4*t[28])/3 + 3*t[29] - (13*t[30])/3 + 
       5*t[31] - (2*t[33])/3 + (50*t[35])/3 + (2*t[44])/3 - (7*t[48])/12 - 
       (23*t[49])/24 - (9*t[50])/4 + (23*t[51])/48 + (9*t[52])/4 + 
       (23*t[53])/24 + (25*t[54])/6 - t[59]/6 + (23*t[60])/12 - 
       (239*t[61])/12 - (17*t[62])/8 + (47*t[63])/24 - (169*t[64])/24 - 
       (10*t[65])/9 + (275*t[66])/18 - t[67]/6 + t[69] + 3*t[73] - 2*t[74] + 
       (23*t[75])/3 - (7*t[79])/3 - (13*t[81])/6 + (13*t[82])/6 - 
       (13*t[83])/6 + (5*t[84])/6 + (21*t[85])/4 + 9*t[86] - (55*t[87])/12 - 
       (55*t[88])/24 + (37*t[89])/24 + (17*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      (-t[1] - (5*t[3])/6 - (11*t[4])/3 + (3*t[5])/4 - (35*t[6])/24 + 
       (7*t[7])/4 + (13*t[8])/12 + (21*t[9])/4 + 7*t[10] - (151*t[11])/24 + 
       (5*t[12])/12 - (95*t[13])/18 + (31*t[14])/18 + (31*t[15])/72 + 
       (4*t[25])/3 - (4*t[26])/3 + t[28] + (5*t[31])/3 - t[35] - t[36] + 
       t[37] + t[39] - t[40] + t[43]/3 + t[45] + t[46]/3 - 2*t[47] + 
       (3*t[48])/8 - (7*t[49])/12 - (31*t[50])/24 + t[51]/24 + 
       (31*t[52])/24 + (7*t[53])/12 + (71*t[54])/24 - t[59] - t[60] - 
       10*t[61] + (113*t[62])/24 + (233*t[63])/24 - (355*t[64])/24 + 
       (95*t[65])/6 + (389*t[66])/36 - 2*t[69] + t[70] - t[71] - 2*t[72] - 
       t[73] + 2*t[74] - (5*t[75])/2 + t[77] + t[78] + (19*t[79])/4 - 
       (11*t[80])/2 + (3*t[81])/2 - t[82]/3 + (5*t[83])/12 + (11*t[84])/6 - 
       (5*t[85])/12 - (13*t[86])/4 - (13*t[87])/4 - (13*t[88])/8 + 
       (8*t[89])/3 + 9*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((3*t[5])/2 - 3*t[7] - 3*t[8] - (3*t[9])/2 + 
       3*t[10] - 3*t[11] - (3*t[12])/2 - t[14]/2 + t[15]/4 - 6*t[61] + 
       9*t[62] + 3*t[63] - 12*t[64] + 2*t[65] + 6*t[66] + 6*t[69] + 9*t[83] - 
       12*t[86] + 3*t[89] + 9*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-20*t[1])/3 - (19*t[2])/3 - (109*t[3])/4 - 
       (21*t[4])/2 + (589*t[5])/24 + (253*t[6])/3 - (965*t[7])/12 + 
       (2165*t[8])/12 - (347*t[9])/8 + (143*t[10])/12 - 103*t[11] - 
       (797*t[12])/24 - (23975*t[13])/216 - (41*t[14])/9 + (6239*t[15])/144 - 
       (7*t[16])/3 - (10*t[25])/3 - (52*t[26])/3 - (28*t[27])/3 - 6*t[28] + 
       (27*t[29])/2 + 10*t[30] - 8*t[31] - 2*t[32] + 2*t[33] + (4*t[34])/3 - 
       12*t[35] - 8*t[36] + (2*t[37])/3 - 8*t[38] - (68*t[39])/3 + 
       (25*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 + (13*t[43])/2 - 
       (101*t[44])/2 + (103*t[45])/6 + (44*t[46])/3 - (109*t[47])/3 + 
       (689*t[48])/12 + (52*t[49])/3 - (155*t[50])/12 - (101*t[51])/8 + 
       (203*t[52])/12 - 11*t[53] + (265*t[54])/12 + (7*t[59])/3 + 
       (23*t[60])/6 - (11*t[61])/2 + (296*t[62])/3 + (11*t[63])/2 - 
       (617*t[64])/4 + (172*t[65])/3 + (2206*t[66])/9 - 2*t[68] + 8*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 + 6*t[72] - 124*t[73] - (56*t[74])/3 + 
       156*t[75] - 105*t[76] - 6*t[77] + 141*t[78] - 18*t[79] - 34*t[80] - 
       (23*t[81])/3 + (109*t[82])/3 + 4*t[83] - (113*t[84])/6 - 42*t[85] - 
       (151*t[86])/3 + (160*t[87])/3 + (58*t[88])/3 - (44*t[89])/3 + 
       t[91]/3 + (4*t[95])/3 - (8*t[96])/3 - 4*t[97] - 680*t[98] + 
       880*t[99] + 9*t[100]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (-2*t[1] + (68*t[2])/3 - (17*t[3])/2 + 12*t[4] - (371*t[5])/24 - 
       8*t[6] + (105*t[7])/2 - (1165*t[8])/6 - (511*t[9])/24 - 61*t[10] - 
       (251*t[11])/12 + (1111*t[12])/24 - (1565*t[13])/108 - (589*t[14])/9 + 
       (1145*t[15])/48 - t[17] + (14*t[19])/3 + 12*t[20] + 4*t[21] - 
       12*t[22] - 4*t[23] - (50*t[24])/3 + (2*t[27])/3 - 10*t[28] - 
       (2*t[29])/3 + (61*t[30])/3 - (29*t[32])/3 + (5*t[33])/3 + 
       (56*t[34])/3 + 4*t[35] - 8*t[36] - (14*t[37])/3 - (2*t[38])/3 - 
       (80*t[39])/3 + 17*t[40] + (2*t[41])/3 - (2*t[42])/3 - (19*t[43])/12 + 
       (29*t[44])/2 - 45*t[45] + t[46]/3 + 32*t[47] - 38*t[48] - 
       (31*t[49])/2 + (176*t[50])/3 + (517*t[51])/24 - 58*t[52] + 
       (77*t[53])/6 + (101*t[54])/6 + t[55]/3 - 4*t[57] + (7*t[59])/3 + 
       (23*t[60])/6 - (11*t[61])/2 + (296*t[62])/3 + (11*t[63])/2 - 
       (617*t[64])/4 + (172*t[65])/3 + (2206*t[66])/9 - 2*t[68] + 8*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 + 6*t[72] - 124*t[73] - (56*t[74])/3 + 
       156*t[75] - 105*t[76] - 6*t[77] + 141*t[78] - 18*t[79] - 34*t[80] - 
       (23*t[81])/3 + (109*t[82])/3 + 4*t[83] - (113*t[84])/6 - 42*t[85] - 
       (151*t[86])/3 + (160*t[87])/3 + (58*t[88])/3 - (44*t[89])/3 + 
       t[91]/3 + (4*t[95])/3 - (8*t[96])/3 - 4*t[97] - 680*t[98] + 
       880*t[99] + 9*t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - u]*
      ((9*t[1])/4 + (23*t[2])/12 + (35*t[3])/24 - (103*t[4])/8 + 
       (443*t[5])/48 + (47*t[6])/8 + (151*t[7])/24 + (115*t[8])/24 - 
       (673*t[9])/48 - (1159*t[10])/48 - (25*t[11])/12 - (199*t[12])/12 + 
       (209*t[13])/54 - (4187*t[14])/288 + (125*t[15])/32 + t[21] - t[23] + 
       t[25]/3 - t[26]/3 + t[31] + (10*t[35])/3 - (7*t[37])/3 - (5*t[41])/6 + 
       (5*t[42])/6 + (103*t[43])/24 - t[44]/2 - (17*t[45])/6 + 
       (29*t[46])/12 + (13*t[47])/6 + (7*t[48])/8 - (85*t[49])/16 - 
       (31*t[50])/24 + (125*t[51])/96 + (31*t[52])/24 + (85*t[53])/16 + 
       (13*t[54])/3 - (7*t[59])/4 - 16*t[60] - (77*t[61])/12 - 
       (25*t[62])/12 - (277*t[63])/12 + (1369*t[64])/24 + (137*t[65])/9 + 
       (155*t[66])/36 - (22*t[69])/3 + (11*t[70])/3 - (11*t[71])/3 - 
       3*t[73] + (31*t[74])/6 + t[75]/2 - 2*t[76] + 2*t[78] + t[79]/3 + 
       (46*t[80])/3 - (7*t[81])/3 + (7*t[82])/3 + 6*t[83] - (4*t[84])/3 - 
       5*t[85] + (157*t[86])/6 + (52*t[87])/3 + (26*t[88])/3 + 
       (125*t[89])/12 - 12*t[98] + 14*t[99] + (19*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v]*
      ((5*t[3])/6 - (13*t[4])/6 + (17*t[5])/8 - (25*t[6])/8 - (5*t[7])/4 - 
       (35*t[8])/12 - (71*t[9])/24 - (7*t[10])/4 + (151*t[11])/24 + 
       (19*t[12])/24 + (47*t[13])/6 - (839*t[14])/72 + (133*t[15])/48 + 
       t[25]/3 - t[26]/3 - 3*t[36] - t[37] + (17*t[46])/6 - (5*t[48])/8 - 
       (11*t[49])/3 + (25*t[50])/24 + (11*t[51])/8 - (25*t[52])/24 + 
       (11*t[53])/3 - (15*t[54])/8 - t[59] - (11*t[60])/12 - (173*t[61])/12 + 
       (283*t[62])/24 - (503*t[63])/24 + (139*t[64])/8 + (253*t[65])/18 + 
       (47*t[66])/9 - 2*t[69] + t[70] - t[71] + t[72] + (4*t[73])/3 + 
       2*t[74] + (34*t[75])/3 - t[79] - (5*t[81])/6 + (5*t[82])/6 - 
       (19*t[83])/2 + t[84] + (5*t[85])/12 - (5*t[86])/3 + (19*t[87])/12 + 
       (19*t[88])/24 + (73*t[89])/8 + 10*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (-t[3] - (107*t[4])/4 - t[5]/4 + t[6]/2 - (11*t[7])/2 - (23*t[8])/2 - 
       (15*t[9])/4 + (191*t[10])/8 - 11*t[11] - (47*t[12])/8 - 
       (217*t[13])/36 - (57*t[14])/16 + (9*t[15])/4 + 4*t[28] + 4*t[31] - 
       4*t[35] - 2*t[36] + 4*t[39] - 4*t[40] + 4*t[45] + 4*t[46] - 8*t[47] + 
       t[48]/2 - (91*t[49])/8 + (5*t[50])/2 + (7*t[51])/16 - (5*t[52])/2 + 
       (91*t[53])/8 - (15*t[54])/4 + t[59] - (227*t[60])/4 + (191*t[61])/4 + 
       (107*t[62])/8 + (345*t[63])/8 + (71*t[64])/8 + (343*t[65])/12 + 
       (161*t[66])/12 + 2*t[73] + 4*t[74] + 4*t[75] + 4*t[77] + 4*t[78] + 
       2*t[79] - 8*t[80] + 6*t[81] - 4*t[82] - 7*t[83] - (15*t[84])/4 - 
       (15*t[85])/4 - 34*t[86] + (169*t[87])/4 + (185*t[88])/8 + 
       (15*t[89])/8 - 8*t[99] + 10*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-61*t[3])/2 + 
       (11*t[4])/2 - (43*t[5])/4 + (63*t[6])/8 - 11*t[7] + (41*t[8])/2 - 
       (47*t[9])/2 + (67*t[10])/4 - (135*t[11])/8 - (9*t[12])/2 - 
       (46*t[13])/9 + (187*t[14])/12 + (635*t[15])/36 + 4*t[28] - 
       (27*t[29])/2 + 10*t[30] - 2*t[32] + 2*t[33] - 4*t[35] - 4*t[36] - 
       2*t[43] + 11*t[44] - (39*t[48])/8 + (19*t[49])/4 + (13*t[50])/8 - 
       (19*t[51])/8 - (13*t[52])/8 - (19*t[53])/4 + (75*t[54])/8 + t[59] - 
       (227*t[60])/4 + (191*t[61])/4 + (107*t[62])/8 + (345*t[63])/8 + 
       (71*t[64])/8 + (343*t[65])/12 + (161*t[66])/12 + 2*t[73] + 4*t[74] + 
       4*t[75] + 4*t[77] + 4*t[78] + 2*t[79] - 8*t[80] + 6*t[81] - 4*t[82] - 
       7*t[83] - (15*t[84])/4 - (15*t[85])/4 - 34*t[86] + (169*t[87])/4 + 
       (185*t[88])/8 + (15*t[89])/8 - 8*t[99] + 10*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((3*t[2])/2 - t[3]/12 + (35*t[4])/3 - (29*t[5])/12 + (13*t[6])/8 + 
       9*t[7] - (59*t[8])/6 + 7*t[9] - (20*t[10])/3 + (443*t[11])/24 + 
       3*t[12] + (127*t[13])/36 + (101*t[14])/12 - t[15]/12 - t[25]/3 - 
       (2*t[26])/3 - (3*t[29])/2 - 8*t[36] + 2*t[37] + t[38] + (13*t[44])/4 + 
       (7*t[46])/6 - (27*t[48])/8 + (49*t[49])/6 + (35*t[50])/24 - 
       (31*t[51])/24 - (35*t[52])/24 - (49*t[53])/6 - (45*t[54])/8 - 
       t[59]/2 + (91*t[60])/3 - (7*t[61])/4 - (187*t[62])/24 - 
       (647*t[63])/24 + (157*t[64])/24 - (76*t[65])/3 - (299*t[66])/12 + 
       4*t[69] + 9*t[73] + 2*t[74] + 6*t[75] - 13*t[79] - 5*t[80] + 
       (3*t[81])/2 - (5*t[82])/2 - (2*t[83])/3 + (3*t[84])/2 + 
       (37*t[85])/12 + (47*t[86])/3 - (257*t[87])/12 - (257*t[88])/24 - 
       (25*t[89])/6 - 2*t[99] + 10*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((5*t[1])/12 - (19*t[2])/16 + (35*t[3])/4 - (217*t[4])/24 + 
       (137*t[5])/96 - (227*t[6])/24 + (85*t[7])/24 - (77*t[8])/4 + 
       (1253*t[9])/96 + (275*t[10])/16 - (171*t[11])/16 + (175*t[12])/96 - 
       (437*t[13])/54 - (157*t[14])/36 - (35*t[15])/192 + (8*t[28])/3 - 
       (2*t[29])/3 + (8*t[30])/3 + (2*t[31])/3 + 2*t[32] - 2*t[33] - 
       2*t[36] - (5*t[37])/6 + 2*t[39] - 2*t[40] + t[43]/3 - (4*t[44])/3 + 
       2*t[45] + 3*t[46] - 4*t[47] - (37*t[48])/6 - (9*t[49])/16 + 
       (9*t[50])/2 + (23*t[51])/96 - (9*t[52])/2 + (9*t[53])/16 - 
       (97*t[54])/24 - (169*t[60])/24 - (219*t[61])/8 + (7*t[62])/32 + 
       (763*t[63])/96 + (31*t[64])/8 + (523*t[65])/144 + (3647*t[66])/144 + 
       2*t[69] + (5*t[72])/3 - (113*t[73])/12 - 8*t[75] + (43*t[79])/6 + 
       (5*t[80])/3 + (8*t[82])/3 + (23*t[83])/3 - (19*t[84])/12 - 
       (15*t[85])/4 + (65*t[86])/6 - (9*t[87])/4 - (9*t[88])/8 - 
       (71*t[89])/24 - 4*t[99] + (31*t[100])/3) + 
     HPL[{1}, 1 - v]^2*Qep[u, v, w]*((16*t[3])/9 + (64*t[4])/9 + (8*t[5])/9 - 
       (8*t[6])/3 + 4*t[7] + (4*t[8])/9 - (8*t[9])/3 + (44*t[10])/9 - 
       (184*t[11])/9 + 16*t[12] - (560*t[13])/27 + (74*t[14])/9 - 
       (44*t[15])/9 - (32*t[25])/9 + (32*t[26])/9 + (32*t[37])/3 - 
       (56*t[46])/9 - (8*t[48])/3 + (40*t[49])/9 + (8*t[50])/9 - 
       (10*t[51])/9 - (8*t[52])/9 - (40*t[53])/9 + (8*t[54])/3 + 
       (32*t[59])/3 - (208*t[60])/9 - 16*t[61] - (112*t[62])/9 + 
       (304*t[63])/9 - (80*t[64])/9 - (16*t[65])/3 + (224*t[66])/9 + 
       (64*t[69])/3 - (32*t[70])/3 + (32*t[71])/3 - (16*t[74])/3 - 
       (64*t[75])/3 - (16*t[79])/3 + (272*t[83])/9 - (16*t[84])/3 - 
       (16*t[85])/9 + (208*t[86])/9 + (176*t[87])/9 + (88*t[88])/9 - 
       (88*t[89])/9 + (32*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Qep[u, v, w]*((-32*t[4])/9 + (52*t[5])/9 - (104*t[7])/9 - 
       (104*t[8])/9 - (52*t[9])/9 + (184*t[10])/9 + (8*t[11])/3 - 4*t[12] + 
       (224*t[13])/27 - (212*t[14])/27 + (10*t[15])/27 + (32*t[36])/3 - 
       (80*t[49])/9 + (16*t[51])/3 + (80*t[53])/9 - (64*t[54])/9 - 
       (32*t[60])/9 - (112*t[61])/9 + (248*t[62])/9 - (40*t[63])/3 - 
       (232*t[64])/9 + (464*t[65])/27 - (16*t[66])/3 - (64*t[69])/3 - 
       (32*t[73])/3 + (160*t[75])/3 + (32*t[79])/3 - (448*t[83])/9 + 
       (64*t[84])/9 + (64*t[85])/9 - (416*t[86])/9 + (32*t[87])/3 + 
       (16*t[88])/3 + (88*t[89])/9 + (32*t[100])/3) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - v]*(t[1]/3 - (13*t[2])/24 - 
       (11*t[3])/3 - (7*t[4])/12 - (229*t[5])/48 - (33*t[6])/16 + 
       (43*t[7])/3 + (29*t[8])/3 + (473*t[9])/48 + (23*t[10])/8 + 
       (79*t[11])/16 + (365*t[12])/48 - (32*t[13])/27 + (1955*t[14])/144 + 
       (6245*t[15])/864 + 2*t[20] - 2*t[22] - 3*t[24] - 2*t[28] + 
       (7*t[29])/8 + (19*t[30])/12 + 2*t[31] + (13*t[32])/12 - (5*t[33])/4 - 
       (2*t[34])/3 + 9*t[35] + (5*t[36])/2 - t[37] + t[38]/6 + t[39]/12 + 
       t[40]/12 - t[41]/3 + t[42]/3 - t[43]/2 + (5*t[44])/12 - (2*t[47])/3 - 
       (181*t[48])/48 - (41*t[49])/24 + (283*t[50])/48 + (11*t[51])/16 - 
       (299*t[52])/48 + (19*t[53])/8 - (13*t[54])/16 - t[59]/3 + 
       (155*t[60])/8 + (185*t[61])/8 + (9*t[62])/4 + (47*t[63])/24 - 
       (2513*t[64])/48 - (76*t[65])/9 - (5*t[66])/8 + 2*t[69] + 4*t[73] - 
       (7*t[74])/3 + 3*t[75] - (7*t[76])/6 - (7*t[77])/6 + (16*t[78])/3 - 
       (19*t[79])/2 + t[80]/6 + (13*t[81])/6 - t[82]/2 - t[83]/2 + 
       (113*t[84])/24 - (121*t[85])/24 - 8*t[86] - (247*t[87])/24 - 
       (287*t[88])/48 - (605*t[89])/48 - (4*t[95])/3 - t[96]/2 - t[97]/3 - 
       26*t[98] + 22*t[99] + 11*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - w]*(t[2]/2 + (29*t[3])/6 + (53*t[4])/6 + 
       (95*t[5])/12 + (8*t[6])/3 - (9*t[7])/2 - (169*t[8])/6 - 
       (181*t[9])/12 - (89*t[10])/12 + (34*t[11])/3 - (19*t[12])/3 + 
       (253*t[13])/36 - (5*t[14])/24 + (49*t[15])/24 + (13*t[20])/3 + 
       3*t[24] + (14*t[28])/3 + (2*t[30])/3 - 5*t[31] + 2*t[32] - 
       (2*t[33])/3 - 10*t[35] - t[41] + t[42] - (7*t[44])/3 + (17*t[48])/6 + 
       (43*t[49])/12 + (5*t[50])/6 - (43*t[51])/24 - (5*t[52])/6 - 
       (43*t[53])/12 - 6*t[54] - (3*t[59])/2 - t[60]/6 + (7*t[61])/2 + 
       (187*t[62])/12 - (34*t[63])/3 - (149*t[64])/6 + (5*t[65])/6 - 
       (89*t[66])/6 + t[69] - 4*t[72] + 6*t[75] - 2*t[79] + 4*t[81] - 
       4*t[82] - (139*t[83])/6 - t[84]/2 + (5*t[85])/6 - (88*t[86])/3 - 
       (61*t[87])/6 - (67*t[88])/12 - (23*t[89])/12 + (23*t[100])/2) + 
     HPL[{0, 1}, 1 - v]*M1[w, v, u]*(t[1]/3 - (2*t[2])/3 - (5*t[3])/6 + 
       3*t[4] + (2*t[5])/3 + (5*t[6])/12 + (7*t[7])/6 + t[8]/2 + 
       (19*t[9])/6 + (53*t[10])/12 + (4*t[11])/3 - (7*t[12])/12 - 
       (427*t[13])/216 + (289*t[14])/72 - (14*t[15])/27 + t[27]/3 + t[29]/3 - 
       (2*t[31])/3 + t[32]/3 - t[33]/3 - t[34]/3 + t[37] + t[38]/6 + 
       (7*t[39])/6 - t[40] + t[41]/6 - t[42]/6 + t[43]/6 - (2*t[44])/3 + 
       t[47]/3 + (23*t[49])/12 - (7*t[50])/6 - (25*t[51])/24 + (5*t[52])/6 - 
       (5*t[53])/4 - t[54]/2 + (2*t[59])/3 + 2*t[60] + (17*t[61])/2 - 
       (31*t[62])/6 + (17*t[63])/6 - (11*t[64])/6 - (68*t[65])/9 - 
       (46*t[66])/9 + t[69] + t[72]/3 + (4*t[76])/3 + t[77]/3 - (5*t[78])/3 - 
       (4*t[80])/3 + (4*t[81])/3 - t[82] + t[83]/2 - (8*t[84])/3 - 
       (10*t[85])/3 - (10*t[86])/3 - (4*t[87])/3 - (2*t[88])/3 - 
       (2*t[89])/3 + t[96] + (2*t[97])/3 + 8*t[98] - 8*t[99] + 
       (23*t[100])/2) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-5*t[1])/6 + (251*t[2])/24 - (23*t[3])/8 - (155*t[4])/24 - 
       (151*t[5])/48 - (57*t[6])/8 + t[7]/4 + (175*t[8])/12 + (103*t[9])/16 - 
       (667*t[10])/48 + (41*t[11])/12 + (91*t[12])/24 - (661*t[13])/216 - 
       (1927*t[14])/288 - (157*t[15])/32 - (4*t[19])/3 - (2*t[20])/3 - 
       t[21] - (2*t[23])/3 - (4*t[28])/3 - t[30]/3 - (3*t[31])/2 - 
       (2*t[33])/3 - (4*t[35])/3 + (5*t[37])/6 + (19*t[41])/12 - 2*t[42] + 
       (47*t[43])/12 - (5*t[44])/6 - (37*t[45])/12 + (55*t[47])/6 + 
       (109*t[48])/24 - (19*t[49])/16 - t[50]/8 + (35*t[51])/32 + t[52]/8 + 
       (19*t[53])/16 + 2*t[54] - (3*t[59])/4 - (193*t[60])/12 - 
       (73*t[61])/6 - (43*t[62])/24 - (167*t[63])/8 + (219*t[64])/4 + 
       (131*t[65])/9 + (341*t[66])/36 - (16*t[69])/3 + (8*t[70])/3 - 
       (8*t[71])/3 - 2*t[73] + (25*t[74])/6 + (3*t[75])/2 - 2*t[76] + 
       2*t[78] - (2*t[79])/3 + (46*t[80])/3 - (17*t[81])/6 + (17*t[82])/6 + 
       (37*t[83])/6 - (4*t[84])/3 - (49*t[85])/12 + (57*t[86])/2 + 
       (67*t[87])/4 + (67*t[88])/8 + (245*t[89])/24 - 12*t[98] + 14*t[99] + 
       (23*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((275*t[1])/72 - (623*t[2])/144 + (3*t[3])/8 - 
       (25709*t[4])/576 + (77*t[5])/12 - (533*t[6])/96 - (235*t[7])/24 - 
       (89*t[8])/36 - (733*t[9])/72 + (26609*t[10])/1152 - (3451*t[11])/96 - 
       (7523*t[12])/1152 - (60869*t[13])/5184 - (3131*t[14])/2304 + 
       (15553*t[15])/3456 - t[16]/2 - (2*t[25])/3 - (43*t[26])/12 + 
       (13*t[27])/18 + (19*t[28])/18 - (2*t[29])/9 - (55*t[30])/36 + 
       (59*t[31])/18 - (25*t[34])/36 + (7*t[35])/2 + (11*t[36])/12 - 
       t[37]/3 + (61*t[38])/18 + (4*t[39])/3 + t[40]/3 + (25*t[41])/72 - 
       (25*t[42])/72 + (5*t[43])/9 - (5*t[44])/18 + t[45] - (4*t[46])/3 - 
       2*t[47] - (613*t[48])/288 + (3121*t[49])/384 - (2485*t[50])/288 + 
       (569*t[51])/256 + (1565*t[52])/288 - (1331*t[53])/1152 + 
       (11063*t[54])/576 - (5*t[58])/12 - (149*t[59])/72 - 
       (11155*t[60])/192 + (917*t[61])/192 - (12373*t[62])/1152 + 
       (56069*t[63])/1152 + (93883*t[64])/1152 + (14383*t[65])/1728 + 
       (34109*t[66])/1728 - t[67]/2 - (5*t[69])/2 + t[70]/2 - t[71]/2 - 
       (7*t[72])/18 + (35*t[73])/12 - (7*t[74])/2 - (127*t[75])/12 + 
       (325*t[76])/36 + (109*t[77])/36 - (95*t[78])/9 - (11*t[79])/3 + 
       t[80]/18 + (16*t[81])/9 - (21*t[82])/8 + (77*t[83])/6 - 
       (15701*t[84])/576 - (9649*t[85])/576 - (179*t[86])/18 + 
       (12551*t[87])/576 + (7367*t[88])/1152 - (5251*t[89])/1152 + 4*t[95] + 
       (10*t[96])/3 + (95*t[97])/36 + (331*t[98])/6 - (361*t[99])/6 + 
       (139*t[100])/12) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (2*t[1] + 2*t[3] - 34*t[4] + (11*t[5])/2 - (3*t[6])/4 + (3*t[7])/4 - 
       (13*t[8])/4 - (15*t[9])/2 - (107*t[10])/4 - (143*t[11])/4 + 
       (75*t[12])/2 - (136*t[13])/3 - (157*t[14])/8 + (13*t[15])/4 - 
       4*t[25] + 4*t[26] + 6*t[37] + 2*t[38] - (23*t[46])/2 - (3*t[48])/4 - 
       (29*t[49])/2 + (13*t[50])/4 + (107*t[51])/8 - (13*t[52])/4 + 
       (29*t[53])/2 + (3*t[54])/4 + 8*t[59] - t[60]/2 - (33*t[61])/2 + 
       (133*t[62])/4 + (245*t[63])/4 - (43*t[64])/4 - (26*t[65])/3 + 
       154*t[66] + 3*t[67] + 12*t[69] - 6*t[70] + 6*t[71] - 48*t[73] - 
       21*t[74] + 120*t[75] - 21*t[79] - 3*t[81] + 3*t[82] - 35*t[83] - 
       6*t[84] - (13*t[85])/2 + 11*t[86] - (19*t[87])/2 - (19*t[88])/4 - 
       (5*t[89])/4 + 12*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 
       1 - w]*((-15*t[2])/4 + (11*t[3])/2 - (13*t[4])/2 - (35*t[5])/2 + 
       11*t[6] + (15*t[7])/4 + (325*t[8])/4 - (217*t[9])/4 - (25*t[10])/2 - 
       17*t[11] + (19*t[12])/2 - (95*t[13])/3 - (1061*t[14])/24 - 
       (17*t[15])/24 - 2*t[20] - 16*t[28] + 10*t[29] + 8*t[30] + 18*t[32] - 
       8*t[33] - 6*t[34] + 54*t[35] + 8*t[44] + (5*t[48])/2 - (5*t[49])/4 - 
       (13*t[50])/2 + (5*t[51])/8 + (13*t[52])/2 + (5*t[53])/4 + 9*t[54] + 
       8*t[59] - t[60]/2 - (33*t[61])/2 + (133*t[62])/4 + (245*t[63])/4 - 
       (43*t[64])/4 - (26*t[65])/3 + 154*t[66] + 3*t[67] + 12*t[69] - 
       6*t[70] + 6*t[71] - 48*t[73] - 21*t[74] + 120*t[75] - 21*t[79] - 
       3*t[81] + 3*t[82] - 35*t[83] - 6*t[84] - (13*t[85])/2 + 11*t[86] - 
       (19*t[87])/2 - (19*t[88])/4 - (5*t[89])/4 + 12*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w]*
      ((3*t[2])/4 + (11*t[3])/6 - (19*t[4])/6 + (65*t[5])/24 + (59*t[6])/12 - 
       (37*t[7])/3 + (133*t[8])/6 - (17*t[9])/8 + (15*t[10])/4 - 
       (79*t[11])/6 - (17*t[12])/24 - (5*t[13])/2 - (44*t[14])/9 - 
       (167*t[15])/48 - t[20]/3 + (26*t[28])/3 + t[29] - (10*t[30])/3 + 
       t[31] - 2*t[32] + (5*t[33])/3 - (13*t[44])/3 + (95*t[48])/12 - 
       (5*t[49])/12 - (27*t[50])/4 + (5*t[51])/24 + (27*t[52])/4 + 
       (5*t[53])/12 + (91*t[54])/12 - t[60] - (121*t[61])/6 + 
       (145*t[62])/12 - (75*t[63])/4 + (181*t[64])/12 + (241*t[65])/18 + 
       (187*t[66])/18 + t[72] + (7*t[73])/3 + t[74] + (37*t[75])/3 - 
       2*t[79] - (4*t[81])/3 + (4*t[82])/3 - (28*t[83])/3 + t[84] + 
       (4*t[85])/3 + (2*t[86])/3 + t[87] + t[88]/2 + (107*t[89])/12 + 
       12*t[100]) + HPL[{0, 1}, 1 - v]*M1[w, u, v]*(t[1] - (3*t[2])/4 + 
       (13*t[3])/4 + (7*t[4])/4 + (27*t[5])/8 - (209*t[6])/32 - (17*t[7])/8 - 
       (87*t[8])/8 - (53*t[9])/16 + (27*t[10])/8 - (143*t[11])/32 - 
       (45*t[12])/8 - (155*t[13])/72 - (325*t[14])/96 - (353*t[15])/96 - 
       t[25] - t[28] - (3*t[29])/4 - t[30]/2 + 2*t[35] - t[36] - t[37] + 
       t[38] - t[39]/4 - t[43]/2 + (9*t[44])/4 - t[46]/2 - (51*t[48])/32 + 
       (25*t[49])/8 + (69*t[50])/32 - (19*t[51])/16 - (69*t[52])/32 - 
       (25*t[53])/8 - (121*t[54])/32 - t[59] + (25*t[60])/16 - 
       (311*t[61])/16 - (187*t[62])/32 - (37*t[63])/32 - (51*t[64])/32 - 
       (197*t[65])/16 + (107*t[66])/48 - 3*t[73] + t[75] - t[76] - t[77] + 
       2*t[78] + t[79] + 2*t[80] - (5*t[81])/2 + 3*t[82] + 5*t[83] - 
       (27*t[84])/16 + (13*t[85])/16 + 9*t[86] - (43*t[87])/16 - 
       (43*t[88])/32 - (221*t[89])/32 - 6*t[98] + 6*t[99] + 12*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-5*t[1])/6 - (61*t[2])/16 - (209*t[3])/48 + (1297*t[4])/24 - 
       (169*t[5])/8 - (4315*t[6])/96 + (4277*t[7])/48 - (5533*t[8])/24 + 
       (979*t[9])/16 + (91*t[10])/48 + (8843*t[11])/96 - (249*t[12])/16 + 
       (3893*t[13])/144 + (3937*t[14])/144 - (2309*t[15])/432 + t[20] - 
       t[22] + t[27] - (5*t[28])/12 - (265*t[29])/24 + (29*t[30])/6 - 
       (10*t[31])/3 - (9*t[32])/2 + (16*t[33])/3 - (25*t[34])/6 - 
       (25*t[35])/3 - 4*t[36] + (5*t[37])/3 + t[38]/12 - (127*t[39])/48 + 
       (121*t[40])/48 + t[41]/6 - t[42]/6 - (16*t[43])/3 + (1459*t[44])/48 + 
       t[45]/3 - (3*t[46])/2 + (9*t[47])/2 - (6085*t[48])/96 + 
       (281*t[49])/48 + (5297*t[50])/96 - (233*t[51])/96 - (1787*t[52])/32 - 
       (385*t[53])/48 - (6347*t[54])/96 - 2*t[59] + (2425*t[60])/48 + 
       (947*t[61])/12 - (1443*t[62])/32 + (3387*t[63])/32 - 
       (16871*t[64])/96 - (4013*t[65])/48 - (15085*t[66])/144 + (7*t[69])/6 - 
       (3*t[72])/2 - (145*t[73])/12 + (14*t[74])/3 + (15*t[75])/4 - 
       (40*t[76])/3 + t[77]/4 + (39*t[78])/2 - 10*t[79] - (127*t[80])/6 + 
       (65*t[81])/8 - (251*t[82])/24 - (35*t[83])/6 + (127*t[84])/16 + 
       (139*t[85])/24 - (353*t[86])/6 - (2605*t[87])/48 - (2813*t[88])/96 - 
       (4997*t[89])/96 + (8*t[95])/3 - (7*t[96])/2 - (8*t[97])/3 - 
       (191*t[98])/2 + (203*t[99])/2 + (51*t[100])/4) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*
      (t[1]/2 + (11*t[2])/4 + 14*t[3] + (85*t[4])/8 + (3*t[5])/8 - 
       (35*t[6])/2 - 4*t[7] - 20*t[8] - (87*t[9])/8 - (149*t[10])/16 + 
       7*t[11] - (191*t[12])/16 + (1021*t[13])/72 - (1547*t[14])/96 - 
       (61*t[15])/24 + t[20] - t[22] - 3*t[26] - 4*t[28] - t[29] + 3*t[30] + 
       4*t[31] + t[32] - t[33] + t[34] + 6*t[35] + t[36] - 3*t[37] + 
       2*t[38] - 2*t[39] + 2*t[40] - t[41] + t[42] + t[43] + t[44] + 
       t[46]/2 - t[47] - (49*t[48])/4 + (65*t[49])/16 + (3*t[50])/4 + 
       (15*t[51])/32 - (23*t[52])/4 - (65*t[53])/16 - (91*t[54])/8 - t[58] - 
       (3*t[59])/2 + (103*t[60])/8 - (209*t[61])/8 - (103*t[62])/16 + 
       (135*t[63])/16 - (33*t[64])/16 - (59*t[65])/8 - (95*t[66])/24 + 
       t[69] - t[72] - 2*t[74] - 3*t[75] + 5*t[76] - t[77] + 7*t[80] + 
       (9*t[81])/2 - t[82]/2 + (29*t[83])/2 - (43*t[84])/8 + (111*t[85])/8 + 
       22*t[86] - (81*t[87])/8 - (81*t[88])/16 - (71*t[89])/16 + t[97] + 
       48*t[98] - 46*t[99] + 13*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - w]*(5*t[2] + (25*t[3])/3 - (47*t[4])/4 + 
       (35*t[5])/24 - 12*t[6] - (31*t[7])/12 - (181*t[8])/12 + 
       (269*t[9])/24 + (283*t[10])/24 - (68*t[11])/3 - (3*t[12])/4 - 
       (1729*t[13])/108 - (163*t[14])/144 - (95*t[15])/16 - (2*t[20])/3 + 
       t[24] + (5*t[28])/3 - t[29] + (2*t[30])/3 - (11*t[31])/3 - t[32] + 
       (4*t[33])/3 - 6*t[35] - 4*t[36] + t[37]/3 - t[41]/2 + t[42]/2 - 
       (11*t[43])/6 - t[44]/3 - t[45]/3 + t[47]/3 - (19*t[48])/6 + 
       (35*t[49])/24 + (31*t[50])/6 - (67*t[51])/48 - (31*t[52])/6 - 
       (35*t[53])/24 - (5*t[54])/12 + t[59]/2 + (11*t[60])/6 - 
       (118*t[61])/3 - (233*t[62])/12 + (437*t[63])/12 - (43*t[64])/3 + 
       (229*t[65])/9 + (533*t[66])/18 - 2*t[72] - (11*t[73])/3 + 2*t[74] + 
       4*t[75] + (5*t[76])/3 + (5*t[77])/2 + 3*t[78] + (47*t[79])/3 - 
       (8*t[80])/3 + t[81] + 4*t[82] - (2*t[83])/3 + (11*t[84])/3 - 
       (13*t[85])/2 + (86*t[86])/3 - (59*t[87])/6 - (59*t[88])/12 - 
       (29*t[89])/6 + (14*t[98])/3 - 6*t[99] + (41*t[100])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-t[1]/2 - (115*t[2])/16 + (209*t[3])/48 - (211*t[4])/24 - 
       (571*t[5])/96 + (22*t[6])/3 - (209*t[7])/24 + (485*t[8])/24 + 
       (1045*t[9])/96 + (143*t[10])/8 - (77*t[11])/48 + (425*t[12])/96 + 
       (379*t[13])/48 - (1559*t[14])/288 - (4889*t[15])/1728 - t[18] - 
       (17*t[20])/6 + (5*t[22])/2 - (19*t[24])/6 + (28*t[28])/3 + 
       (13*t[29])/2 - (17*t[30])/6 + (25*t[31])/6 - 3*t[32] + (19*t[33])/6 - 
       t[34] + (43*t[35])/6 - t[36] - t[37] + t[41]/4 - t[42]/4 - 
       (3*t[43])/2 - (37*t[44])/6 - (5*t[45])/2 + t[46]/2 + 11*t[47] + 
       (25*t[48])/6 + t[49]/12 - (65*t[50])/12 - (23*t[51])/48 + 
       (65*t[52])/12 - t[53]/12 + (27*t[54])/4 + (3*t[59])/4 + 
       (59*t[60])/12 - (85*t[61])/6 - (257*t[62])/8 - (199*t[63])/8 + 
       (59*t[64])/2 + (52*t[65])/3 - (134*t[66])/9 - t[67]/2 - t[72] + 
       (19*t[73])/2 - (11*t[74])/12 + (13*t[75])/6 - (3*t[77])/2 - 
       (23*t[79])/12 + 7*t[80] - t[81]/4 - t[82]/4 - 15*t[83] - (9*t[84])/8 + 
       (15*t[85])/4 + (229*t[86])/12 - (9*t[87])/2 - (9*t[88])/4 + 
       (17*t[89])/3 + (55*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((133*t[1])/72 + (491*t[2])/144 - 
       (51*t[3])/8 + (2665*t[4])/288 - (523*t[5])/24 + (791*t[6])/48 + 
       (23*t[7])/8 - (977*t[8])/72 + (2455*t[9])/72 + (32531*t[10])/576 - 
       (967*t[11])/24 - (20129*t[12])/576 - (153719*t[13])/2592 + 
       (128875*t[14])/1152 - (7597*t[15])/576 - (3*t[16])/4 + (2*t[19])/3 - 
       t[25]/2 - (19*t[26])/12 - (7*t[27])/18 + (19*t[28])/9 - 
       (91*t[29])/36 - (25*t[30])/18 + (133*t[31])/18 + t[32]/6 - t[33]/6 + 
       (31*t[34])/36 + (5*t[35])/3 - 7*t[36] - t[37]/3 + (67*t[38])/36 + 
       (17*t[39])/12 - (31*t[40])/12 - (31*t[41])/72 + (31*t[42])/72 + 
       (10*t[43])/9 + (175*t[44])/36 + (19*t[45])/2 - (173*t[46])/24 - 
       (125*t[47])/6 - (145*t[48])/144 + (2731*t[49])/192 - (325*t[50])/144 - 
       (3583*t[51])/384 + (809*t[52])/144 - (8513*t[53])/576 + 
       (5975*t[54])/288 + (5*t[58])/12 - (145*t[59])/72 + (1569*t[60])/32 + 
       (7313*t[61])/96 - (25543*t[62])/576 + (60455*t[63])/576 - 
       (101075*t[64])/576 - (71711*t[65])/864 - (89965*t[66])/864 + t[69] - 
       (13*t[72])/9 - (151*t[73])/12 + (14*t[74])/3 + (47*t[75])/12 - 
       (523*t[76])/36 - t[77]/36 + (373*t[78])/18 - (59*t[79])/6 - 
       (191*t[80])/9 + (553*t[81])/72 - (245*t[82])/24 - (67*t[83])/12 + 
       (2485*t[84])/288 + (1595*t[85])/288 - (518*t[86])/9 - 
       (15223*t[87])/288 - (16471*t[88])/576 - (30373*t[89])/576 + 
       (8*t[95])/3 - (23*t[96])/6 - (107*t[97])/36 - (619*t[98])/6 + 
       (655*t[99])/6 + (167*t[100])/12) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      M1[w, v, u]*(-t[1]/2 + (5*t[3])/12 + t[4]/4 + (49*t[5])/24 - 
       (5*t[6])/12 - (5*t[7])/4 - (11*t[8])/4 + t[9]/8 + (49*t[10])/24 - 
       (14*t[11])/3 - (5*t[12])/12 - (67*t[13])/18 - (53*t[14])/144 - 
       (47*t[15])/144 + t[31]/3 + t[37] + t[43]/6 - t[48]/4 + (25*t[49])/24 + 
       t[50]/12 - (11*t[51])/16 - t[52]/12 - (25*t[53])/24 + t[54]/6 + 
       (13*t[60])/6 - 8*t[61] + (23*t[62])/6 + (17*t[63])/2 - (29*t[64])/4 - 
       (13*t[65])/6 + (67*t[66])/9 - 2*t[72] - 2*t[80] - (2*t[82])/3 - 
       t[83]/2 - t[84]/3 + t[85]/3 - (11*t[86])/3 - (7*t[87])/3 - 
       (7*t[88])/6 + (5*t[89])/4 + 14*t[100]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-24*t[2] - 8*t[3] - 10*t[4] - (19*t[5])/2 - 
       16*t[6] + 3*t[7] - 25*t[8] + (7*t[9])/2 + 20*t[10] - 13*t[11] - 
       (3*t[12])/2 - (127*t[13])/9 - (55*t[14])/3 - (211*t[15])/12 - 
       4*t[20] + 4*t[22] + 4*t[29] - 4*t[35] + 4*t[37] + 2*t[41] - 2*t[42] + 
       4*t[47] - 2*t[48] - t[49] + 2*t[50] + t[51]/2 - 2*t[52] + t[53] - 
       11*t[60] - 31*t[61] - 30*t[62] + 4*t[63] + (229*t[64])/2 - 
       (29*t[65])/3 + (13*t[66])/3 - 4*t[69] + 4*t[75] - 4*t[80] + 2*t[81] - 
       2*t[82] - 2*t[83] - 2*t[84] - t[85] + 24*t[86] + t[87] + t[88]/2 + 
       (7*t[89])/2 - 8*t[99] + 14*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*(4*t[3] - 12*t[4] + t[5]/2 - (7*t[6])/2 + 
       t[7] - 7*t[8] - (13*t[9])/2 + 4*t[10] + (7*t[11])/2 + (3*t[12])/2 - 
       (19*t[13])/3 + t[14] - (43*t[15])/12 + 2*t[25] - 2*t[26] - 4*t[36] + 
       2*t[46] - (3*t[48])/2 + 7*t[49] + (5*t[50])/2 - 5*t[51] - 
       (5*t[52])/2 - 7*t[53] - (5*t[54])/2 - 11*t[60] - 31*t[61] - 30*t[62] + 
       4*t[63] + (229*t[64])/2 - (29*t[65])/3 + (13*t[66])/3 - 4*t[69] + 
       4*t[75] - 4*t[80] + 2*t[81] - 2*t[82] - 2*t[83] - 2*t[84] - t[85] + 
       24*t[86] + t[87] + t[88]/2 + (7*t[89])/2 - 8*t[99] + 14*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-7*t[1])/3 - (31*t[2])/12 - (1271*t[3])/24 - (817*t[4])/24 - 
       (979*t[5])/24 + (81*t[6])/4 + (123*t[7])/4 + (119*t[8])/4 + 
       (475*t[9])/8 - (347*t[10])/48 - (491*t[11])/12 + (357*t[12])/16 - 
       (2335*t[13])/72 + (9935*t[14])/288 - (2837*t[15])/432 - t[18] - 
       7*t[20] + t[22] + 2*t[23] + 3*t[26] - 8*t[28] - (29*t[29])/6 - 
       (23*t[30])/3 - 6*t[31] + (31*t[32])/6 - (20*t[33])/3 + (29*t[34])/3 + 
       4*t[35] + 2*t[36] + 4*t[37] - 3*t[38] - t[39] - (2*t[40])/3 + 
       t[41]/2 - t[42]/2 - t[43] - (133*t[44])/12 - (4*t[45])/3 + 
       (10*t[47])/3 - (25*t[48])/12 - (793*t[49])/48 + (179*t[50])/12 + 
       (445*t[51])/96 - (131*t[52])/12 + (601*t[53])/48 + (267*t[54])/8 + 
       t[58] + (11*t[59])/3 + (1171*t[60])/24 - (851*t[61])/24 - 
       (31*t[62])/48 - (1237*t[63])/48 + (347*t[64])/16 + (313*t[65])/72 + 
       (2179*t[66])/72 + (3*t[67])/2 + 9*t[69] - (7*t[70])/3 + (7*t[71])/3 + 
       4*t[72] - 6*t[73] - (5*t[74])/3 - (47*t[76])/3 - 6*t[77] + 
       (40*t[78])/3 + 10*t[79] - (20*t[80])/3 - 3*t[81] + (14*t[82])/3 + 
       8*t[83] + (275*t[84])/8 + (293*t[85])/24 + 42*t[86] - (11*t[87])/24 + 
       (421*t[88])/48 + (353*t[89])/48 - (20*t[95])/3 - 6*t[96] - 
       (14*t[97])/3 - 100*t[98] + 80*t[99] + 14*t[100]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*((-13*t[1])/4 + (43*t[2])/4 - 
       25*t[3] - (807*t[4])/32 - (229*t[5])/24 + (1753*t[6])/48 + 
       (77*t[7])/2 + (163*t[8])/12 + (827*t[9])/24 - (3479*t[10])/192 + 
       (1085*t[11])/48 + (4685*t[12])/192 - (5483*t[13])/288 + 
       (6439*t[14])/128 + (8617*t[15])/576 + (19*t[26])/2 - (7*t[27])/3 + 
       (16*t[28])/3 + (7*t[29])/3 + (7*t[30])/2 - (43*t[31])/3 - 
       (3*t[34])/2 - (34*t[35])/3 - (19*t[36])/6 + (19*t[37])/3 - 
       (43*t[38])/6 + (11*t[39])/6 - (19*t[40])/3 + (3*t[41])/4 - 
       (3*t[42])/4 - (5*t[43])/6 - (14*t[44])/3 + (5*t[46])/4 + 
       (237*t[48])/16 - (1957*t[49])/192 + (1423*t[50])/48 + 
       (137*t[51])/384 - (583*t[52])/48 + (439*t[53])/64 + (35*t[54])/96 + 
       (19*t[58])/6 + (47*t[59])/12 - (1417*t[60])/96 + (4595*t[61])/96 + 
       (2443*t[62])/192 - (1787*t[63])/192 - (9373*t[64])/192 - 
       (1865*t[65])/288 - (6803*t[66])/288 - (2*t[72])/3 - (35*t[73])/3 + 
       (37*t[75])/3 - (57*t[76])/2 - t[77] + (61*t[78])/3 - 10*t[79] - 
       (29*t[80])/3 - (27*t[81])/4 - (25*t[82])/3 - (61*t[83])/3 + 
       (385*t[84])/32 - (2869*t[85])/96 - (70*t[86])/3 + (2519*t[87])/96 + 
       (2519*t[88])/192 - (923*t[89])/192 - 5*t[96] - (13*t[97])/2 - 
       188*t[98] + 188*t[99] + 14*t[100]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((-5*t[1])/18 + (29*t[2])/144 - (113*t[3])/18 + 
       (847*t[4])/72 - (169*t[5])/32 + (973*t[6])/144 + (131*t[7])/24 + 
       (47*t[8])/2 + (935*t[9])/288 - (2891*t[10])/144 + (769*t[11])/72 + 
       (1321*t[12])/288 + (2267*t[13])/162 + (1487*t[14])/216 + 
       (2669*t[15])/1728 + (7*t[16])/12 - t[20] - t[21] + t[23] + 
       (19*t[25])/6 - (23*t[26])/9 - (5*t[28])/6 - (2*t[31])/9 - 
       (5*t[34])/9 + (5*t[35])/6 + t[36] + (2*t[37])/3 - (5*t[38])/12 - 
       (25*t[39])/36 - (2*t[40])/9 - (2*t[41])/9 + (2*t[42])/9 + 
       (5*t[43])/9 - (17*t[45])/6 - t[46]/12 + (17*t[47])/3 + 
       (733*t[48])/144 - (65*t[49])/16 - (635*t[50])/144 - (105*t[51])/32 + 
       (217*t[52])/48 - (251*t[53])/144 + (57*t[54])/16 + (5*t[58])/18 + 
       (79*t[59])/108 - (427*t[60])/72 + (1603*t[61])/72 - (1075*t[62])/288 - 
       (741*t[63])/32 + (2611*t[64])/72 + (4367*t[65])/432 - 
       (1295*t[66])/48 + t[68]/2 + (5*t[69])/3 - (5*t[70])/3 + (5*t[71])/3 - 
       (11*t[72])/6 + (7*t[73])/12 - 4*t[75] + t[76]/6 - t[77]/18 - 
       (10*t[78])/9 - (29*t[79])/6 + (43*t[80])/18 - (2*t[81])/9 - 
       (41*t[82])/18 + (37*t[83])/12 + (35*t[84])/24 - t[85]/8 + 
       (41*t[86])/18 + (1325*t[87])/72 + (431*t[88])/48 + (359*t[89])/24 + 
       (5*t[96])/6 + (5*t[97])/18 - (2*t[98])/3 + t[99]/3 + (44*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((9*t[2])/4 - (13*t[3])/2 + 10*t[4] + 2*t[5] + (19*t[6])/2 + 
       (21*t[7])/4 + (3*t[8])/4 - (43*t[9])/4 - (29*t[10])/4 + (43*t[11])/2 + 
       (11*t[12])/4 + (175*t[13])/12 + (15*t[14])/4 + (95*t[15])/8 - 
       10*t[28] - 2*t[29] + 2*t[30] - 2*t[31] - 12*t[35] + 3*t[36] + 
       2*t[43] + 8*t[44] + (3*t[48])/2 - 3*t[49] + (3*t[50])/2 + 
       (9*t[51])/4 - (3*t[52])/2 + 3*t[53] - (5*t[54])/2 - t[60] + 60*t[61] + 
       (47*t[62])/2 + (3*t[63])/2 - (51*t[64])/2 - 30*t[65] - (89*t[66])/3 + 
       6*t[69] - 12*t[72] - 6*t[75] - 15*t[79] - 8*t[82] + 15*t[83] - 
       4*t[84] + 4*t[85] - 53*t[86] + 14*t[87] + 7*t[88] + 3*t[89] + 
       15*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u]*
      ((-5*t[1])/12 - (65*t[2])/24 + (37*t[3])/24 - (713*t[4])/48 - 
       (211*t[5])/48 - (317*t[6])/24 + (115*t[7])/6 - (123*t[8])/8 + 
       (625*t[9])/48 - (343*t[10])/96 - (221*t[11])/48 + (307*t[12])/96 - 
       (6107*t[13])/432 + (1243*t[14])/576 - (191*t[15])/36 + (7*t[20])/3 - 
       (3*t[22])/2 - t[28]/3 - t[29] - (4*t[30])/3 + t[31]/2 + 2*t[32] - 
       (2*t[33])/3 + (17*t[35])/3 + (5*t[36])/4 + (5*t[37])/6 + (5*t[43])/4 + 
       (5*t[44])/3 - (53*t[48])/8 - (145*t[49])/96 + (157*t[50])/24 + 
       (27*t[51])/64 - (157*t[52])/24 + (145*t[53])/96 - (181*t[54])/48 - 
       (3*t[60])/8 - (617*t[61])/24 - (647*t[62])/24 + (595*t[63])/24 + 
       (177*t[64])/16 + (37*t[65])/12 + (1535*t[66])/72 + (4*t[69])/3 - 
       (5*t[72])/3 - (10*t[73])/3 - 2*t[74] + 4*t[75] - 2*t[77] - 2*t[78] - 
       (5*t[79])/2 + (7*t[80])/3 - (11*t[81])/3 + (23*t[82])/6 + 
       (53*t[83])/6 - (13*t[84])/6 - t[85] + (131*t[86])/3 - (2*t[87])/3 - 
       t[88]/3 - (131*t[89])/16 + (31*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((5*t[1])/8 + (105*t[2])/16 + (1193*t[3])/48 + (34*t[4])/3 + 
       (131*t[5])/6 - (935*t[6])/48 - (541*t[7])/48 - (3191*t[8])/48 - 
       (637*t[9])/48 - (149*t[10])/8 - (35*t[11])/48 - (421*t[12])/24 + 
       (379*t[13])/48 - (1537*t[14])/144 + (4645*t[15])/432 + t[17]/4 - 
       t[19]/2 - (7*t[20])/3 - t[21]/2 + (5*t[22])/2 + t[23]/2 + 
       (5*t[24])/6 - t[25] - 2*t[27] + (13*t[28])/3 + (5*t[29])/4 + t[30]/6 - 
       (23*t[31])/6 - (37*t[32])/4 - (5*t[33])/6 - (7*t[34])/4 - 
       (65*t[35])/6 + t[36]/2 - t[37] + (7*t[38])/4 - t[39]/4 + 
       (11*t[40])/2 - (25*t[41])/8 + (25*t[42])/8 + (17*t[43])/8 + 
       (185*t[44])/24 - (13*t[45])/4 - t[46]/4 - t[47]/2 - (661*t[48])/48 + 
       (211*t[49])/48 + (367*t[50])/48 - (23*t[51])/48 - (715*t[52])/48 - 
       (223*t[53])/48 - (331*t[54])/16 - t[55]/2 - (19*t[59])/8 - 
       (71*t[60])/24 - (194*t[61])/3 + (185*t[62])/2 + 12*t[63] - 
       (745*t[64])/8 - (485*t[65])/24 + (409*t[66])/36 - t[68]/2 - 2*t[69] - 
       3*t[70] + 3*t[71] - 9*t[72] + 6*t[73] + (13*t[74])/12 - (71*t[75])/6 + 
       (23*t[76])/4 - 5*t[77] - (25*t[78])/4 - (65*t[79])/12 + (15*t[80])/2 + 
       (3*t[81])/4 - (27*t[82])/4 - (33*t[83])/2 + t[84]/8 + 2*t[85] - 
       (497*t[86])/12 + (11*t[87])/4 - (107*t[88])/8 - (137*t[89])/24 + 
       4*t[95] + (3*t[96])/2 - (13*t[97])/4 + 18*t[98] - 19*t[99] + 
       (31*t[100])/2) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*(-t[1] - (3*t[2])/2 + (10*t[3])/3 + t[4]/12 + 
       (77*t[5])/24 - (301*t[6])/24 + 5*t[7] - (71*t[8])/6 + (57*t[9])/8 + 
       (557*t[10])/24 - (353*t[11])/24 + t[12]/12 - (1729*t[13])/108 + 
       (691*t[14])/144 - (105*t[15])/16 + (5*t[25])/3 - (2*t[26])/3 + 
       2*t[28] + (2*t[31])/3 - (2*t[35])/3 - 3*t[36] + t[37] - t[38] + 
       2*t[39] - 3*t[40] - t[43]/2 + 2*t[44] - (4*t[46])/3 + (11*t[48])/24 + 
       (53*t[49])/8 + (91*t[50])/24 - (131*t[51])/48 - (91*t[52])/24 - 
       (53*t[53])/8 - (125*t[54])/24 + (3*t[59])/2 + (7*t[60])/4 - 
       (541*t[61])/12 - (153*t[62])/8 + (309*t[63])/8 - (133*t[64])/8 + 
       (223*t[65])/9 + (313*t[66])/9 + 2*t[69] - t[70] + t[71] - 2*t[72] - 
       (8*t[73])/3 + t[74] + 5*t[75] + (5*t[76])/3 + (5*t[77])/2 + 3*t[78] + 
       (44*t[79])/3 - (8*t[80])/3 + t[81]/2 + (9*t[82])/2 - t[83]/2 + 
       (11*t[84])/3 - (67*t[85])/12 + 31*t[86] - (125*t[87])/12 - 
       (125*t[88])/24 - (121*t[89])/24 + (14*t[98])/3 - 6*t[99] + 
       (47*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*(2*t[1] + t[2]/3 + (71*t[3])/6 + (5*t[4])/12 - 
       4*t[5] - (25*t[6])/2 + 26*t[7] + (79*t[8])/6 + (7*t[9])/12 - 
       (617*t[10])/8 + (157*t[11])/6 + (89*t[12])/8 - (221*t[13])/216 - 
       (1859*t[14])/48 - (119*t[15])/6 + 2*t[19] - 2*t[20] - 2*t[21] + 
       t[22] + 2*t[23] - (7*t[25])/3 + (7*t[26])/6 - (5*t[27])/3 - 
       (5*t[28])/3 + (5*t[29])/3 - (11*t[30])/3 - (31*t[31])/3 + 2*t[32] - 
       2*t[33] - (4*t[34])/3 + 12*t[35] + (23*t[36])/3 - (22*t[37])/3 + 
       (13*t[38])/6 - (17*t[39])/3 + (20*t[40])/3 + t[41]/6 - t[42]/6 + 
       (7*t[43])/3 - (8*t[44])/3 - 12*t[45] - (37*t[46])/6 + 28*t[47] - 
       (20*t[48])/3 + (271*t[49])/24 + 8*t[50] + (101*t[51])/48 - 
       (16*t[52])/3 - (223*t[53])/24 - (125*t[54])/12 + t[58]/6 - 
       (17*t[59])/6 - (1013*t[60])/12 - (75*t[61])/4 - (1211*t[62])/12 - 
       (733*t[63])/12 + (1707*t[64])/8 - (455*t[65])/18 + (727*t[66])/36 + 
       (2*t[68])/3 + (7*t[69])/3 + (8*t[72])/3 + (13*t[73])/3 - 6*t[74] - 
       5*t[75] + (15*t[76])/2 - (37*t[77])/3 - (73*t[78])/3 + (5*t[79])/3 + 
       (103*t[80])/3 - (89*t[81])/6 + (26*t[82])/3 + (29*t[83])/2 - 
       21*t[84] - (5*t[85])/2 + (487*t[86])/3 + 51*t[87] + (137*t[88])/6 - 
       (181*t[89])/8 + 2*t[96] + (2*t[97])/3 + 68*t[98] - 52*t[99] + 
       (33*t[100])/2) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((11*t[1])/108 + (47*t[2])/12 - (115*t[3])/18 - 
       (1727*t[4])/144 - (341*t[5])/144 + (1393*t[6])/144 - (25*t[7])/36 + 
       (31*t[8])/12 + (179*t[9])/144 + (2707*t[10])/288 - (1267*t[11])/72 + 
       (299*t[12])/96 - (17527*t[13])/1296 - (229*t[14])/64 + 
       (697*t[15])/432 + (2*t[18])/9 + 2*t[21] - t[22]/18 - (16*t[23])/9 + 
       (2*t[25])/3 - (7*t[26])/18 + t[27]/2 + (16*t[31])/9 + (5*t[32])/6 - 
       (5*t[33])/6 + (5*t[34])/6 + (7*t[36])/12 - (2*t[37])/3 - 
       (5*t[38])/18 + (5*t[39])/6 - (47*t[40])/36 - t[41]/12 + t[42]/18 - 
       (23*t[43])/72 - (3*t[44])/2 - (59*t[45])/36 + (11*t[46])/4 + 
       (13*t[47])/12 + (125*t[48])/48 - (2627*t[49])/288 - (209*t[50])/144 + 
       (647*t[51])/576 + (481*t[52])/144 + (2627*t[53])/288 + (19*t[54])/2 + 
       (5*t[58])/18 - (961*t[59])/216 - (217*t[60])/9 - (101*t[61])/18 + 
       (4867*t[62])/144 + (311*t[63])/144 + (257*t[64])/36 + (151*t[65])/54 + 
       (689*t[66])/18 + t[67]/12 - (8*t[69])/3 + t[70] - t[71] + 
       (7*t[74])/2 - (19*t[75])/6 - (35*t[76])/36 - t[77]/36 - t[78]/9 - 
       2*t[79] - (403*t[80])/18 - (17*t[81])/3 + (73*t[82])/18 + 6*t[83] - 
       (257*t[84])/72 - 10*t[85] - (299*t[86])/6 + (461*t[87])/18 + 
       (461*t[88])/36 + (64*t[89])/9 - (5*t[97])/36 - (20*t[98])/3 + 
       (19*t[99])/3 + (101*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((-26*t[1])/3 + (95*t[2])/6 + 33*t[3] - 
       (985*t[4])/24 + (275*t[5])/8 - (64*t[6])/3 - (925*t[7])/12 - 
       (331*t[8])/12 - (743*t[9])/8 - (2131*t[10])/48 - (893*t[11])/12 - 
       (713*t[12])/48 - (5425*t[13])/216 - (18527*t[14])/288 + 
       (1879*t[15])/72 + (2*t[19])/3 + 3*t[26] + 4*t[27] - 6*t[28] - 
       8*t[29] - 2*t[30] - 14*t[31] - 2*t[32] + 2*t[33] + (17*t[34])/3 + 
       2*t[35] + 5*t[36] + (4*t[37])/3 - (35*t[38])/6 - (53*t[39])/6 + 
       11*t[40] - (17*t[41])/6 + (17*t[42])/6 + 4*t[43] - 7*t[44] - 2*t[45] + 
       (125*t[46])/6 + 2*t[47] - (28*t[48])/3 - (1097*t[49])/48 + 
       (163*t[50])/6 - (483*t[51])/32 - (43*t[52])/2 + (481*t[53])/48 + 
       (569*t[54])/24 - (7*t[59])/6 - (567*t[60])/8 - (877*t[61])/8 + 
       (9143*t[62])/48 - (191*t[63])/48 - (2515*t[64])/48 + 
       (12061*t[65])/72 + (9385*t[66])/72 - 2*t[68] - 14*t[69] - 9*t[72] + 
       125*t[73] + 4*t[74] - 77*t[75] - (5*t[76])/3 - (14*t[77])/3 + 
       13*t[78] + 30*t[79] + (50*t[80])/3 + (14*t[81])/3 + (47*t[82])/3 - 
       (70*t[83])/3 + (547*t[84])/24 + (211*t[85])/24 - (548*t[86])/3 + 
       (469*t[87])/8 + (485*t[88])/16 + (3929*t[89])/48 - 11*t[96] - 
       (22*t[97])/3 + 16*t[98] - 46*t[99] + 17*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-11*t[1])/3 + (85*t[2])/6 - (143*t[3])/6 - (397*t[4])/12 - 
       (123*t[5])/8 + (1727*t[6])/16 - (485*t[7])/6 + (811*t[8])/6 + 
       (119*t[9])/12 - (167*t[10])/24 - (2921*t[11])/48 + (95*t[12])/4 + 
       (2981*t[13])/54 + (2873*t[14])/72 + (1771*t[15])/108 + 16*t[19] - 
       14*t[20] + 4*t[22] - (4*t[23])/3 + (55*t[28])/3 + 30*t[29] + 
       (73*t[30])/2 - 3*t[31] - (25*t[32])/6 + (37*t[33])/6 - 3*t[34] - 
       32*t[35] + 76*t[36] - 12*t[37] - (5*t[38])/6 + (7*t[39])/2 - 
       (8*t[40])/3 + (43*t[41])/6 - (43*t[42])/6 + t[43] - (385*t[44])/12 - 
       (5*t[47])/3 + (3527*t[48])/48 - (1331*t[49])/24 - (451*t[50])/16 + 
       (229*t[51])/16 + (1433*t[52])/48 + (417*t[53])/8 + (1571*t[54])/16 - 
       (7*t[59])/6 - (567*t[60])/8 - (877*t[61])/8 + (9143*t[62])/48 - 
       (191*t[63])/48 - (2515*t[64])/48 + (12061*t[65])/72 + 
       (9385*t[66])/72 - 2*t[68] - 14*t[69] - 9*t[72] + 125*t[73] + 4*t[74] - 
       77*t[75] - (5*t[76])/3 - (14*t[77])/3 + 13*t[78] + 30*t[79] + 
       (50*t[80])/3 + (14*t[81])/3 + (47*t[82])/3 - (70*t[83])/3 + 
       (547*t[84])/24 + (211*t[85])/24 - (548*t[86])/3 + (469*t[87])/8 + 
       (485*t[88])/16 + (3929*t[89])/48 - 11*t[96] - (22*t[97])/3 + 
       16*t[98] - 46*t[99] + 17*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      Omega2[u, v, w]*((2*t[1])/3 - (79*t[2])/12 + (55*t[3])/12 - 
       (45*t[4])/4 + (83*t[5])/24 - (533*t[6])/48 + (271*t[7])/12 - 
       (15*t[8])/4 - (14*t[9])/3 - (43*t[10])/24 + (257*t[11])/48 + 
       (55*t[12])/12 - (811*t[13])/108 - (535*t[14])/72 - (419*t[15])/216 + 
       t[20] - t[22] + (2*t[27])/3 - 4*t[28] + t[29]/6 + 2*t[30] + 
       (2*t[31])/3 + (11*t[32])/3 - (11*t[33])/3 - (2*t[34])/3 + 4*t[35] + 
       4*t[36] + t[37] + t[38]/3 + t[39]/3 + t[40]/2 + (5*t[41])/6 - 
       (5*t[42])/6 + (7*t[43])/3 + (5*t[44])/3 + (5*t[47])/3 - 
       (77*t[48])/16 - (37*t[49])/24 + (329*t[50])/48 + (53*t[51])/48 - 
       (361*t[52])/48 + (23*t[53])/8 - (67*t[54])/16 - t[59]/6 - 
       (71*t[60])/8 + (77*t[61])/8 - (1441*t[62])/48 + (857*t[63])/48 + 
       (2899*t[64])/48 - (167*t[65])/72 + (1349*t[66])/72 + t[69] - 
       (7*t[72])/3 - 4*t[74] + 5*t[75] + (14*t[76])/3 - (7*t[77])/3 - 
       (28*t[78])/3 - 4*t[79] + (25*t[80])/3 - (11*t[81])/6 + (3*t[82])/2 + 
       2*t[83] - (185*t[84])/24 - (139*t[85])/24 + (82*t[86])/3 + 
       (245*t[87])/24 + (245*t[88])/48 - (175*t[89])/48 + 2*t[96] + 
       (4*t[97])/3 + 16*t[98] - 24*t[99] + 17*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*
      ((5*t[1])/3 - (4*t[2])/3 + 2*t[3] - (305*t[4])/24 + 10*t[5] - 2*t[6] + 
       (17*t[7])/4 + (149*t[8])/12 - (115*t[9])/12 - (235*t[10])/48 - 
       (11*t[11])/2 - (95*t[12])/48 - (527*t[13])/54 + (325*t[14])/96 - 
       (341*t[15])/144 - t[26] - (2*t[27])/3 - (5*t[28])/3 + (2*t[29])/3 - 
       (2*t[30])/3 - (7*t[31])/3 - (2*t[34])/3 + 4*t[35] + 4*t[36] + 
       (4*t[38])/3 - 2*t[39] + 3*t[40] + t[41]/3 - t[42]/3 + t[43]/3 - 
       (2*t[44])/3 - 4*t[45] - 2*t[46] + 8*t[47] + (13*t[48])/6 + 
       (81*t[49])/16 - (10*t[50])/3 - (69*t[51])/32 + (8*t[52])/3 - 
       (179*t[53])/48 + (77*t[54])/24 - t[59]/6 - (71*t[60])/8 + 
       (77*t[61])/8 - (1441*t[62])/48 + (857*t[63])/48 + (2899*t[64])/48 - 
       (167*t[65])/72 + (1349*t[66])/72 + t[69] - (7*t[72])/3 - 4*t[74] + 
       5*t[75] + (14*t[76])/3 - (7*t[77])/3 - (28*t[78])/3 - 4*t[79] + 
       (25*t[80])/3 - (11*t[81])/6 + (3*t[82])/2 + 2*t[83] - (185*t[84])/24 - 
       (139*t[85])/24 + (82*t[86])/3 + (245*t[87])/24 + (245*t[88])/48 - 
       (175*t[89])/48 + 2*t[96] + (4*t[97])/3 + 16*t[98] - 24*t[99] + 
       17*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      (5*t[3] - (17*t[4])/2 + (109*t[5])/8 - (11*t[6])/8 - (3*t[7])/2 - 
       (5*t[8])/2 - (107*t[9])/8 + (23*t[10])/4 - (59*t[11])/8 - 
       (3*t[12])/8 - (22*t[13])/3 - (89*t[14])/12 - (5*t[15])/48 - t[25] + 
       t[26] + t[27] - t[28] - t[31] + t[36] - t[39] + t[40] - t[46]/2 - 
       (9*t[48])/8 + (3*t[49])/4 + (23*t[50])/8 - t[51]/4 - (23*t[52])/8 - 
       (3*t[53])/4 - (19*t[54])/8 - (49*t[60])/4 - (79*t[61])/4 - 
       (9*t[62])/4 + (69*t[63])/4 + (245*t[64])/8 + (23*t[65])/12 + 
       (455*t[66])/12 + t[69] - t[72] - 2*t[74] - t[75] - t[77] - 2*t[78] + 
       4*t[79] - t[80] - (5*t[81])/2 + (11*t[82])/2 + t[83]/2 - 3*t[84] - 
       (9*t[85])/4 + 2*t[86] + (33*t[87])/4 + (33*t[88])/8 - (25*t[89])/8 - 
       6*t[99] + 17*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Omega2[u, v, w]*((-27*t[2])/4 + 5*t[3] - (29*t[4])/2 - (3*t[5])/8 - 
       (19*t[6])/2 + (7*t[7])/2 - (43*t[8])/2 - (41*t[9])/8 + (7*t[10])/2 - 
       (35*t[11])/2 + (31*t[12])/8 - (139*t[13])/9 - (45*t[14])/4 - 
       (251*t[15])/48 + t[20] - t[22] - 2*t[28] - t[29] + t[30] + t[32] - 
       t[33] + 2*t[35] + t[36] + t[37] + t[41]/2 - t[42]/2 + 5*t[44] - 
       t[46]/2 + t[47] - (11*t[48])/4 - (7*t[49])/2 + (13*t[50])/4 + 
       (11*t[51])/8 - (13*t[52])/4 + (7*t[53])/2 + t[54]/4 - (49*t[60])/4 - 
       (79*t[61])/4 - (9*t[62])/4 + (69*t[63])/4 + (245*t[64])/8 + 
       (23*t[65])/12 + (455*t[66])/12 + t[69] - t[72] - 2*t[74] - t[75] - 
       t[77] - 2*t[78] + 4*t[79] - t[80] - (5*t[81])/2 + (11*t[82])/2 + 
       t[83]/2 - 3*t[84] - (9*t[85])/4 + 2*t[86] + (33*t[87])/4 + 
       (33*t[88])/8 - (25*t[89])/8 - 6*t[99] + 17*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      ((-17*t[1])/6 + (20*t[2])/3 - t[3]/2 - (4*t[4])/3 - (25*t[5])/2 - 
       (9*t[6])/4 + (59*t[7])/4 - t[8]/12 + (83*t[9])/12 - (23*t[10])/6 + 
       (89*t[11])/4 + (43*t[12])/3 + (391*t[13])/216 - (55*t[14])/8 + 
       (17*t[15])/72 + 4*t[26] + (4*t[27])/3 - (11*t[28])/3 - (4*t[29])/3 + 
       (10*t[30])/3 - (19*t[31])/3 + t[34]/3 - 8*t[35] + 2*t[37] - 
       (11*t[38])/3 - 3*t[39] - t[40] - t[41]/6 + t[42]/6 - (2*t[43])/3 + 
       (4*t[44])/3 - (49*t[48])/12 - (39*t[49])/4 + (245*t[50])/12 + 
       (39*t[51])/8 - (169*t[52])/12 + (85*t[53])/12 - (101*t[54])/12 + 
       t[58] + (4*t[59])/3 - (51*t[60])/2 - 28*t[61] - (199*t[62])/12 - 
       (163*t[63])/12 + (43*t[64])/3 - (7*t[65])/36 - (80*t[66])/9 - t[69] + 
       (11*t[72])/3 - 6*t[73] - 5*t[75] - (49*t[76])/3 - (13*t[77])/3 + 
       (50*t[78])/3 + 6*t[79] - (11*t[80])/3 - (23*t[81])/6 + (5*t[82])/2 + 
       25*t[83] + (43*t[84])/6 - (59*t[85])/12 + (136*t[86])/3 + 
       (361*t[87])/12 + (361*t[88])/24 - (235*t[89])/12 - 4*t[96] - 
       (11*t[97])/3 - 92*t[98] + 92*t[99] + 17*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((3*t[1])/4 + (89*t[2])/8 + (631*t[3])/144 + (233*t[4])/18 - 
       (91*t[5])/36 + (113*t[6])/24 - (231*t[7])/16 - (4007*t[8])/144 + 
       (113*t[9])/24 - (1877*t[10])/72 - (721*t[11])/36 - (183*t[12])/16 - 
       (2381*t[13])/432 - (2075*t[14])/288 - (1573*t[15])/288 + t[16]/2 + 
       t[19] - t[20] - t[21] + t[22] + t[23] - (7*t[25])/18 - (11*t[26])/18 - 
       2*t[27] + (5*t[28])/2 + (3*t[29])/4 + 3*t[30] + 3*t[31] + t[32]/4 - 
       t[33]/2 - t[34] - (3*t[35])/2 + (13*t[36])/2 - t[37]/6 + (5*t[38])/4 - 
       (5*t[39])/2 - t[40] + t[41]/4 - t[42]/4 + t[43]/8 + (35*t[44])/8 - 
       (21*t[45])/4 - (217*t[46])/72 + (9*t[47])/2 + (53*t[48])/24 + 
       (139*t[49])/144 + (511*t[50])/72 + (541*t[51])/288 - (43*t[52])/72 + 
       (185*t[53])/144 + (37*t[54])/12 + t[58]/2 - (37*t[59])/24 - 
       (109*t[60])/36 - (1667*t[61])/24 + (13355*t[62])/144 + 
       (1993*t[63])/144 - (13685*t[64])/144 - (1495*t[65])/72 + 
       (47*t[66])/3 - t[68]/2 - t[69]/3 - (23*t[70])/6 + (23*t[71])/6 - 
       9*t[72] + (41*t[73])/6 + t[74]/4 - 11*t[75] + (23*t[76])/4 - 5*t[77] - 
       (25*t[78])/4 - (25*t[79])/4 + (15*t[80])/2 + t[81]/3 - (19*t[82])/3 - 
       (589*t[83])/36 + t[84]/8 + (199*t[85])/72 - (1421*t[86])/36 + 
       (163*t[87])/72 - (1961*t[88])/144 - (847*t[89])/144 + 4*t[95] + 
       (3*t[96])/2 - (13*t[97])/4 + 18*t[98] - 19*t[99] + (103*t[100])/6) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((5*t[1])/9 - (979*t[2])/144 + (5279*t[3])/288 + (27*t[4])/16 + 
       (3131*t[5])/288 - (25669*t[6])/1152 - (6355*t[7])/288 - 
       (317*t[8])/96 - (26873*t[9])/576 + (2333*t[10])/288 + 
       (8869*t[11])/1152 - (739*t[12])/288 + (7525*t[13])/2592 - 
       (110773*t[14])/3456 - (14597*t[15])/10368 + t[18]/2 + (13*t[20])/6 - 
       t[22]/2 + (5*t[27])/9 - (7*t[28])/12 + (95*t[29])/36 + 
       (263*t[30])/24 + t[31]/18 - (7*t[32])/36 - (8*t[33])/9 - 
       (50*t[34])/9 - (5*t[35])/3 - (13*t[36])/12 + t[37]/6 + (5*t[38])/18 + 
       (61*t[39])/144 + t[40]/16 + (7*t[41])/9 - (7*t[42])/9 - (8*t[43])/9 + 
       (109*t[44])/72 + (11*t[46])/24 + (14*t[47])/9 - (215*t[48])/128 + 
       (683*t[49])/288 + (3577*t[50])/1152 - (505*t[51])/576 - 
       (4217*t[52])/1152 - (121*t[53])/96 - (7943*t[54])/384 - 
       (77*t[59])/36 - (4195*t[60])/64 - (571*t[61])/64 - (8063*t[62])/1152 + 
       (50959*t[63])/1152 + (95393*t[64])/1152 + (19613*t[65])/1728 + 
       (39559*t[66])/1728 - t[67]/2 - (10*t[69])/3 + t[70]/2 - t[71]/2 - 
       t[72]/9 + (5*t[73])/12 - (7*t[74])/2 - (39*t[75])/4 + (55*t[76])/18 + 
       (59*t[77])/36 - (40*t[78])/9 - (17*t[79])/6 - (2*t[80])/9 - 
       (4*t[81])/9 - (11*t[82])/8 + (169*t[83])/12 - (13711*t[84])/576 - 
       (10379*t[85])/576 - (32*t[86])/9 + (16621*t[87])/576 + 
       (11437*t[88])/1152 - (9161*t[89])/1152 + 4*t[95] + (5*t[96])/3 + 
       (10*t[97])/9 + (101*t[98])/6 - (131*t[99])/6 + (209*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2*
      ((-3*t[1])/4 - (21*t[2])/8 + (251*t[3])/48 - (7*t[4])/12 + 
       (1517*t[5])/96 - (55*t[6])/8 - (151*t[7])/16 - (319*t[8])/48 - 
       (719*t[9])/32 + (241*t[10])/48 + (125*t[11])/24 - (7*t[12])/32 + 
       (1025*t[13])/96 - (2275*t[14])/96 + (235*t[15])/64 - t[16]/2 - 
       (3*t[22])/2 - (13*t[25])/12 + (11*t[26])/6 + t[27]/2 - (3*t[32])/2 + 
       (3*t[33])/2 - 6*t[34] - 3*t[35] + t[36] + (3*t[38])/4 - (3*t[39])/2 + 
       (15*t[40])/4 + (3*t[41])/4 - (3*t[42])/4 + t[43]/8 + (15*t[45])/4 + 
       (13*t[46])/6 - (9*t[47])/4 + (13*t[48])/16 - (49*t[49])/12 - 
       (41*t[50])/48 + (85*t[51])/48 - (175*t[52])/48 + (29*t[53])/6 - 
       (77*t[54])/16 + (3*t[59])/4 - (301*t[60])/24 - (127*t[61])/8 + 
       (1045*t[62])/48 - (359*t[63])/24 + (11*t[64])/12 + (119*t[65])/12 + 
       (101*t[66])/6 - (5*t[69])/4 - (3*t[72])/2 - (5*t[74])/2 + 7*t[75] - 
       (21*t[76])/4 + t[77]/2 + 2*t[78] + (5*t[79])/2 - (13*t[80])/2 - 
       (15*t[81])/4 + (17*t[82])/4 - (367*t[83])/24 - t[84]/8 - 
       (133*t[85])/24 - (31*t[86])/3 + (299*t[87])/24 + (305*t[88])/48 + 
       (655*t[89])/48 - (3*t[97])/4 - 18*t[98] + 18*t[99] + (143*t[100])/8) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((10*t[1])/3 - (107*t[2])/3 + (325*t[3])/6 + (261*t[4])/8 + 
       (2411*t[5])/48 - (1601*t[6])/24 - (919*t[7])/12 + (3*t[8])/2 - 
       (5953*t[9])/48 + (725*t[10])/48 + (433*t[11])/12 - (1187*t[12])/24 + 
       (7031*t[13])/216 - (23471*t[14])/288 - (15415*t[15])/864 + 2*t[17] - 
       4*t[20] - 4*t[21] + 6*t[22] + 4*t[23] + 4*t[24] + (4*t[27])/3 - 
       8*t[28] - (7*t[29])/6 - 2*t[30] - (20*t[31])/3 + (13*t[32])/3 + 
       (8*t[33])/3 - (82*t[34])/3 + 4*t[35] - 20*t[36] - 16*t[37] + 
       (14*t[38])/3 - (7*t[39])/3 + (25*t[40])/2 + (2*t[41])/3 - 
       (2*t[42])/3 - (149*t[43])/24 + (319*t[44])/12 + (89*t[45])/2 - t[46] - 
       (146*t[47])/3 + (143*t[48])/8 + (959*t[49])/48 + (161*t[50])/24 - 
       (739*t[51])/96 - (385*t[52])/24 - (277*t[53])/16 - 62*t[54] - t[55] - 
       t[56] + 2*t[57] - (16*t[59])/3 - (753*t[60])/8 - (251*t[61])/8 - 
       (1343*t[62])/48 - (3377*t[63])/48 + (4919*t[64])/48 - (961*t[65])/72 - 
       (6719*t[66])/72 - 4*t[68] - 12*t[69] + (46*t[72])/3 - 4*t[73] - 
       2*t[74] - 8*t[75] + (73*t[76])/3 - (8*t[77])/3 - (149*t[78])/3 - 
       16*t[79] - t[80]/3 - (68*t[81])/3 + 3*t[82] - 10*t[83] - 
       (127*t[84])/24 - (227*t[85])/24 + (73*t[86])/6 + (1099*t[87])/24 + 
       (907*t[88])/48 - (833*t[89])/48 - t[91]/6 + 2*t[93] + 4*t[95] + 
       4*t[96] + (2*t[97])/3 - 88*t[98] + 88*t[99] + 18*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      ((3*t[1])/8 - (9*t[2])/8 + (383*t[3])/48 - (2*t[4])/3 + (17*t[5])/32 + 
       (83*t[6])/6 - (77*t[7])/48 + (1457*t[8])/48 - (599*t[9])/96 - 
       (87*t[10])/8 - (271*t[11])/16 + (371*t[12])/96 - (147*t[13])/16 - 
       (97*t[14])/36 - (179*t[15])/64 + (13*t[20])/12 - t[22]/2 + 
       (3*t[25])/2 + (3*t[26])/4 + 4*t[28] + (2*t[29])/3 - t[30] + t[31] + 
       t[32] - (7*t[33])/6 - (3*t[34])/4 + (7*t[35])/2 - (3*t[38])/2 + 
       (3*t[39])/2 - 3*t[40] - (3*t[41])/8 + (3*t[42])/8 + (7*t[43])/8 - 
       (19*t[44])/4 + (13*t[45])/4 - t[46]/2 - 5*t[47] + (145*t[48])/12 - 
       (125*t[49])/48 - (61*t[50])/12 + (17*t[51])/96 + (53*t[52])/6 + 
       (125*t[53])/48 + (265*t[54])/24 + (3*t[58])/4 + (3*t[59])/4 - 
       (269*t[60])/24 - (401*t[61])/24 + (339*t[62])/16 - (473*t[63])/24 + 
       (11*t[64])/6 + (395*t[65])/36 + (46*t[66])/3 - t[69]/4 - t[72]/2 + 
       t[73] - (5*t[74])/2 + 8*t[75] - (21*t[76])/4 + t[77]/2 + 2*t[78] + 
       (3*t[79])/2 - (13*t[80])/2 - (15*t[81])/4 + (17*t[82])/4 - 
       (113*t[83])/8 + (5*t[84])/24 - (125*t[85])/24 - 8*t[86] + 
       (251*t[87])/24 + (257*t[88])/48 + (659*t[89])/48 - (3*t[97])/4 - 
       18*t[98] + 18*t[99] + (147*t[100])/8) + HPL[{0, 1}, 1 - w]*M1[v, w, u]*
      ((-7*t[1])/12 + (8*t[2])/3 - 2*t[3] - (145*t[4])/48 - (11*t[5])/4 + 
       (13*t[6])/8 + (11*t[7])/2 + (8*t[8])/3 + (47*t[9])/12 + 
       (277*t[10])/96 + (27*t[11])/8 + (449*t[12])/96 - (1561*t[13])/432 + 
       (171*t[14])/64 + (565*t[15])/288 + (3*t[26])/2 + t[27]/3 - 
       (2*t[28])/3 - t[29]/3 + (4*t[30])/3 - (7*t[31])/3 - t[34]/6 - 
       4*t[35] + t[37] - (7*t[38])/6 - t[39]/2 - t[40] + t[41]/12 - 
       t[42]/12 - t[43]/6 - (2*t[44])/3 + t[46]/2 + t[48]/24 - 
       (99*t[49])/32 + (157*t[50])/24 + (39*t[51])/64 - (89*t[52])/24 + 
       (233*t[53])/96 - (5*t[54])/48 + t[58]/2 + (7*t[59])/12 - 
       (111*t[60])/16 - (127*t[61])/16 - (65*t[62])/96 - (239*t[63])/96 - 
       (25*t[64])/96 - (565*t[65])/144 - (191*t[66])/144 + (2*t[72])/3 - 
       3*t[73] + t[75] - (35*t[76])/6 - (4*t[77])/3 + (17*t[78])/3 + t[79] - 
       (5*t[80])/3 - (4*t[81])/3 + t[82]/2 + 2*t[83] + (71*t[84])/48 - 
       (233*t[85])/48 + (13*t[86])/3 + (343*t[87])/48 + (343*t[88])/96 - 
       (455*t[89])/96 - t[96] - (7*t[97])/6 - 38*t[98] + 38*t[99] + 
       (37*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((-2*t[1])/3 + (101*t[2])/24 - (965*t[3])/96 + 
       (1151*t[4])/144 - (833*t[5])/288 + (539*t[6])/96 - (887*t[7])/72 + 
       (67*t[8])/72 + (2471*t[9])/288 + (4915*t[10])/288 - (1835*t[11])/96 - 
       (119*t[12])/48 - (5261*t[13])/864 + (13061*t[14])/1728 + 
       (59*t[15])/288 - t[16]/4 - t[19]/2 - t[20]/2 + t[22]/2 + t[25]/6 - 
       t[26]/6 - (2*t[27])/3 + 2*t[28] + (71*t[29])/24 - (35*t[30])/8 - 
       t[31] - (55*t[32])/24 + (67*t[33])/24 + (17*t[34])/12 - (3*t[35])/2 - 
       (25*t[36])/6 + t[37] - t[38]/12 + t[39]/6 + (9*t[40])/8 - 
       (7*t[41])/12 + (7*t[42])/12 - 2*t[43] - (2*t[44])/3 + 2*t[45] + 
       (67*t[46])/24 - (14*t[47])/3 - (9*t[48])/32 + (1759*t[49])/288 - 
       (31*t[50])/96 - (647*t[51])/192 + (47*t[52])/96 - (1855*t[53])/288 + 
       (1229*t[54])/288 - t[59]/12 + (679*t[60])/72 - (4097*t[61])/144 + 
       (8599*t[62])/576 + (2635*t[63])/192 - (13807*t[64])/288 + 
       (5231*t[65])/864 + (181*t[66])/9 - t[68] - (2*t[69])/3 - (5*t[72])/3 - 
       (61*t[73])/12 + 5*t[74] - (13*t[75])/12 - (19*t[76])/6 - t[77]/6 + 
       (10*t[78])/3 + (91*t[79])/12 - (59*t[80])/6 + (67*t[81])/12 - 
       (13*t[82])/12 + (79*t[83])/9 + (685*t[84])/72 + (115*t[85])/18 - 
       (403*t[86])/36 - (46*t[87])/3 - (17*t[88])/3 + (73*t[89])/288 - 
       t[96]/2 - t[97]/3 - 26*t[98] + 22*t[99] + (223*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      (-t[1]/6 + (29*t[2])/6 + (529*t[3])/144 - (545*t[4])/96 + 
       (1505*t[5])/288 - (47*t[6])/18 - (1229*t[7])/144 - (1343*t[8])/144 + 
       (53*t[9])/32 + (10259*t[10])/576 - (1427*t[11])/72 - (427*t[12])/576 - 
       (8855*t[13])/864 - (21695*t[14])/3456 + (473*t[15])/144 - t[20]/6 - 
       t[27]/3 + (43*t[28])/36 - (5*t[29])/18 + (7*t[30])/9 + (13*t[31])/6 - 
       t[32]/2 + (5*t[33])/6 + t[34]/6 - (31*t[35])/6 - (5*t[36])/4 - 
       t[37]/2 - t[38]/12 + (9*t[39])/4 - 2*t[40] - t[41]/3 + t[42]/3 - 
       (5*t[43])/4 - (17*t[44])/9 + (5*t[45])/2 + (15*t[46])/8 - 
       (11*t[47])/2 - (41*t[48])/48 + (119*t[49])/192 + (229*t[50])/144 - 
       (247*t[51])/384 - (205*t[52])/144 - (61*t[53])/64 + (205*t[54])/288 - 
       t[59]/12 + (695*t[60])/72 - (4117*t[61])/144 + (8543*t[62])/576 + 
       (2483*t[63])/192 - (13763*t[64])/288 + (5383*t[65])/864 + 
       (715*t[66])/36 - t[68] - t[69]/2 - (3*t[72])/2 - (59*t[73])/12 + 
       5*t[74] - (11*t[75])/12 - (19*t[76])/6 - t[77]/6 + (10*t[78])/3 + 
       (89*t[79])/12 - (59*t[80])/6 + (67*t[81])/12 - (13*t[82])/12 + 
       (323*t[83])/36 + (689*t[84])/72 + (58*t[85])/9 - (389*t[86])/36 - 
       (47*t[87])/3 - (35*t[88])/6 + (77*t[89])/288 - t[96]/2 - t[97]/3 - 
       26*t[98] + 22*t[99] + (56*t[100])/3) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*(t[1]/4 - 2*t[3] - (41*t[4])/32 + (11*t[5])/6 + 
       (313*t[6])/48 - (21*t[7])/4 + (40*t[8])/3 - (8*t[9])/3 + 
       (1399*t[10])/192 - (307*t[11])/48 - (85*t[12])/192 - 
       (1405*t[13])/288 + (1723*t[14])/384 + (539*t[15])/576 + t[26]/2 - 
       t[27]/3 + (4*t[28])/3 + t[29]/3 - (3*t[30])/2 - t[31]/3 - t[34]/2 - 
       (4*t[35])/3 + (5*t[36])/6 + t[37]/3 - t[38]/6 + (5*t[39])/6 - 
       t[40]/3 + t[41]/4 - t[42]/4 + t[43]/6 - (2*t[44])/3 - t[46]/4 + 
       (89*t[48])/16 + (485*t[49])/192 - (221*t[50])/48 - (601*t[51])/384 + 
       (245*t[52])/48 - (119*t[53])/64 + (377*t[54])/96 + t[58]/6 + 
       (5*t[59])/12 - (703*t[60])/96 + (941*t[61])/96 + (397*t[62])/192 - 
       (605*t[63])/192 + (149*t[64])/192 + (1729*t[65])/288 + 
       (955*t[66])/288 - (2*t[72])/3 + (4*t[73])/3 + (4*t[75])/3 + 
       (3*t[76])/2 - (11*t[78])/3 - t[79] + t[80]/3 - t[81]/4 - (4*t[82])/3 - 
       (13*t[83])/3 - (41*t[84])/32 - (307*t[85])/96 - (25*t[86])/3 + 
       (473*t[87])/96 + (473*t[88])/192 + (979*t[89])/192 + t[96] + t[97]/2 - 
       2*t[98] + 4*t[99] + (39*t[100])/2) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*((-32*t[1])/3 + 7*t[3] + 41*t[4] + 
       (46*t[5])/3 - 14*t[6] - t[7] - 15*t[8] - 9*t[9] + 17*t[10] + 
       (125*t[11])/3 + 18*t[12] + (1315*t[13])/54 - (1187*t[14])/36 - 
       (19*t[15])/9 + 10*t[16] - 16*t[25] + (112*t[26])/3 + 4*t[36] - 
       (32*t[37])/3 - (32*t[38])/3 + (40*t[46])/3 - (10*t[48])/3 + 
       (23*t[49])/3 + (16*t[50])/3 - (179*t[51])/12 - (16*t[52])/3 - 
       (13*t[53])/3 - (101*t[54])/3 + 16*t[59] - 6*t[60] - 93*t[61] - 
       (65*t[62])/6 - (1003*t[63])/6 + (43*t[64])/2 - (170*t[65])/9 - 
       (1142*t[66])/9 - 2*t[67] + 8*t[69] - 12*t[70] + 12*t[71] + 12*t[74] + 
       80*t[75] + (64*t[76])/3 - (80*t[78])/3 + 16*t[79] + (32*t[80])/3 - 
       (2*t[81])/3 + 6*t[82] - 86*t[83] - (8*t[84])/3 + (79*t[85])/3 + 
       24*t[86] - (31*t[87])/3 - (143*t[88])/6 + (5*t[89])/3 - 8*t[95] + 
       (32*t[96])/3 + 128*t[98] - 128*t[99] + 20*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*
      (-29*t[2] + (101*t[3])/6 + 18*t[4] - (8*t[5])/3 - (85*t[6])/3 + 
       (74*t[7])/3 - (676*t[8])/3 + (197*t[9])/3 + (73*t[10])/3 + 14*t[11] - 
       2*t[12] + (557*t[13])/18 + (29*t[14])/9 - (3635*t[15])/108 - 
       20*t[20] - 8*t[28] - 2*t[29] - (100*t[30])/3 - (86*t[32])/3 - 
       (8*t[33])/3 - 4*t[34] + 8*t[35] - (23*t[44])/3 - (32*t[45])/3 + 
       (32*t[47])/3 + (2*t[48])/3 + (20*t[49])/3 - 6*t[50] - (10*t[51])/3 + 
       6*t[52] - (20*t[53])/3 - 15*t[54] + 16*t[59] - 6*t[60] - 93*t[61] - 
       (65*t[62])/6 - (1003*t[63])/6 + (43*t[64])/2 - (170*t[65])/9 - 
       (1142*t[66])/9 - 2*t[67] + 8*t[69] - 12*t[70] + 12*t[71] + 12*t[74] + 
       80*t[75] + (64*t[76])/3 - (80*t[78])/3 + 16*t[79] + (32*t[80])/3 - 
       (2*t[81])/3 + 6*t[82] - 86*t[83] - (8*t[84])/3 + (79*t[85])/3 + 
       24*t[86] - (31*t[87])/3 - (143*t[88])/6 + (5*t[89])/3 - 8*t[95] + 
       (32*t[96])/3 + 128*t[98] - 128*t[99] + 20*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*
      ((-5*t[1])/2 + 8*t[2] - (5*t[3])/4 - (15*t[4])/2 - 10*t[5] + 
       (21*t[6])/4 + 9*t[7] + 4*t[8] + (59*t[9])/4 + (17*t[10])/4 + t[11]/2 + 
       12*t[12] - (43*t[13])/12 - (61*t[14])/12 + (47*t[15])/12 + 3*t[26] + 
       2*t[27] + 2*t[28] - 4*t[29] + 2*t[30] - 4*t[31] + t[34] - 10*t[35] - 
       3*t[36] + 2*t[37] - 3*t[38] + t[39] - 4*t[40] - t[41]/2 + t[42]/2 - 
       t[43] + t[44] + 2*t[45] + (7*t[46])/2 - 4*t[47] - t[48]/2 - 
       (63*t[49])/4 + (35*t[50])/2 + 4*t[51] - (21*t[52])/2 + (47*t[53])/4 + 
       2*t[54] + t[58] + t[59]/2 - (79*t[60])/4 - (153*t[61])/4 + 
       (169*t[62])/8 - (113*t[63])/8 - (75*t[64])/8 + (175*t[65])/12 + 
       (73*t[66])/12 + 4*t[72] - 6*t[73] + 2*t[74] - 19*t[76] - 2*t[77] + 
       24*t[78] + 6*t[79] - 10*t[80] - t[81] + 3*t[82] + 6*t[83] + 
       (59*t[84])/4 - (13*t[85])/4 + 2*t[86] + (69*t[87])/4 + (69*t[88])/8 - 
       (57*t[89])/8 - 6*t[96] - 5*t[97] - 108*t[98] + 108*t[99] + 
       20*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((2*t[1])/3 + (29*t[2])/2 + (1171*t[3])/72 - 
       12*t[4] + (1225*t[5])/72 - (205*t[6])/18 + (95*t[7])/36 - 
       (611*t[8])/18 - (55*t[9])/24 + (217*t[10])/36 + (277*t[11])/36 + 
       (1313*t[12])/72 + (587*t[13])/216 - (2017*t[14])/216 - (52*t[15])/27 - 
       t[20] + 2*t[22] + (2*t[27])/3 - (37*t[28])/9 + (49*t[29])/36 + 
       (97*t[30])/18 - (20*t[31])/3 - t[32] + t[33]/2 - (2*t[34])/3 - 
       (50*t[35])/3 + 2*t[36] + t[38]/3 + (5*t[39])/2 - (14*t[40])/3 - 
       (2*t[41])/3 + (2*t[42])/3 + t[43]/3 + (809*t[44])/36 + t[46] - 
       (4*t[47])/3 - (73*t[48])/6 - (14*t[49])/3 + (83*t[50])/36 + 
       (17*t[51])/12 - (107*t[52])/36 + (16*t[53])/3 - (92*t[54])/9 + t[59] + 
       (188*t[60])/9 + (184*t[61])/9 - (301*t[62])/72 + (271*t[63])/24 - 
       (223*t[64])/18 - (1627*t[65])/54 - (227*t[66])/6 + t[69] - 
       (20*t[72])/3 + 11*t[73] - (13*t[75])/3 + (7*t[76])/3 + (2*t[77])/3 + 
       (16*t[78])/3 + 9*t[79] - (2*t[80])/3 + (20*t[81])/3 + 3*t[82] - 
       (583*t[83])/18 - (161*t[84])/18 - (67*t[85])/9 - (157*t[86])/9 + 
       (59*t[87])/4 + (241*t[88])/24 - (371*t[89])/18 + 2*t[96] + 
       (4*t[97])/3 + 16*t[98] - 16*t[99] + (61*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-5*t[1])/12 - (9*t[2])/16 - (31*t[3])/18 + (39*t[4])/16 + 
       (1127*t[5])/288 - (40*t[6])/9 - (67*t[7])/4 - (35*t[8])/12 - 
       (497*t[9])/32 + (977*t[10])/288 - (1085*t[11])/72 - (917*t[12])/72 - 
       (3005*t[13])/432 - (5047*t[14])/1728 + (1367*t[15])/1728 - 2*t[28] - 
       2*t[29] - (43*t[31])/9 - 2*t[32] + 2*t[33] - 4*t[35] - (19*t[36])/12 + 
       (5*t[37])/6 - 2*t[39] + 2*t[40] - (25*t[43])/18 - 2*t[45] - 3*t[46] + 
       4*t[47] + (73*t[48])/24 + (2087*t[49])/288 + (151*t[50])/72 - 
       (31*t[51])/64 - (151*t[52])/72 - (2087*t[53])/288 + (79*t[54])/144 - 
       (889*t[60])/72 - (707*t[61])/24 + (2599*t[62])/288 + (2035*t[63])/96 + 
       (7*t[64])/12 + (619*t[65])/144 + (16097*t[66])/432 - 2*t[72] - 
       (39*t[73])/4 - 10*t[75] + (20*t[79])/3 - (5*t[80])/3 + (14*t[82])/9 + 
       (16*t[83])/3 - (101*t[84])/36 - (139*t[85])/36 - (7*t[86])/9 + 
       (163*t[87])/36 + (163*t[88])/72 + (5*t[89])/6 - 4*t[99] + 21*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((-2*t[1])/3 + (97*t[2])/12 + (71*t[3])/12 - (27*t[4])/4 + 
       (331*t[5])/24 - (95*t[6])/24 - (53*t[7])/6 - 14*t[8] - (59*t[9])/24 - 
       (197*t[10])/24 - (295*t[11])/24 - (25*t[12])/12 + (40*t[13])/27 - 
       (55*t[14])/144 - (827*t[15])/432 - t[20] + t[22] - (2*t[27])/3 - 
       (5*t[29])/3 - t[30] - (2*t[31])/3 - (5*t[32])/3 + (5*t[33])/3 + 
       (2*t[34])/3 - 2*t[35] - 2*t[36] - 3*t[37] - t[38]/3 - (5*t[39])/6 - 
       t[40]/2 - (5*t[41])/6 + (5*t[42])/6 - (4*t[43])/3 + (29*t[44])/6 - 
       t[46] - (5*t[47])/3 - (19*t[48])/8 + (61*t[49])/24 + (35*t[50])/24 - 
       (41*t[51])/48 - (19*t[52])/24 - (31*t[53])/8 - (15*t[54])/8 - 
       (5*t[59])/6 + 5*t[60] - (79*t[61])/2 + (89*t[62])/6 - (26*t[63])/3 - 
       (367*t[64])/12 - (479*t[65])/36 + (91*t[66])/18 - 3*t[69] + t[72]/3 - 
       6*t[73] + 2*t[74] - 3*t[75] - (20*t[76])/3 - (5*t[77])/3 + 
       (40*t[78])/3 + 4*t[79] + (11*t[80])/3 - (19*t[81])/6 + (17*t[82])/2 + 
       11*t[83] + (13*t[84])/3 + (53*t[85])/12 + (26*t[86])/3 - 
       (31*t[87])/12 - (31*t[88])/24 - (109*t[89])/6 - 2*t[96] - 
       (4*t[97])/3 - 28*t[98] + 28*t[99] + 21*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-27*t[2])/8 + (13*t[3])/4 - (191*t[4])/16 - (43*t[5])/24 - 
       (209*t[6])/24 + (37*t[7])/8 - (149*t[8])/24 - (97*t[9])/24 - 
       (167*t[10])/96 - (269*t[11])/24 + (229*t[12])/96 - (677*t[13])/48 + 
       (743*t[14])/576 - (2387*t[15])/864 + t[20]/2 - t[22]/2 + (8*t[28])/3 - 
       (5*t[29])/2 + (7*t[30])/2 - (17*t[31])/3 + t[32]/2 - t[33]/2 - 
       (13*t[35])/3 + (5*t[36])/2 + t[37]/2 - 2*t[39] + 2*t[40] + t[41]/4 - 
       t[42]/4 + (7*t[44])/6 - 2*t[45] - (9*t[46])/4 + (9*t[47])/2 - 
       (2*t[48])/3 - (43*t[49])/32 + (17*t[50])/6 + (43*t[51])/64 - 
       (17*t[52])/6 + (43*t[53])/32 + (113*t[54])/48 - (389*t[60])/48 - 
       (989*t[61])/48 - (613*t[62])/96 + (1071*t[63])/32 + (1103*t[64])/96 + 
       (7*t[65])/48 + (5711*t[66])/144 + t[69]/2 - (25*t[72])/6 - 
       (14*t[73])/3 - 3*t[74] + (9*t[75])/2 - (5*t[77])/2 - 3*t[78] + 
       t[79]/6 + (7*t[80])/2 - (23*t[81])/4 + (27*t[82])/4 - (25*t[83])/4 - 
       (85*t[84])/16 - (91*t[85])/16 + (71*t[86])/6 + (455*t[87])/48 + 
       (455*t[88])/96 - (655*t[89])/96 - 2*t[99] + (85*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[w, u, v]*
      ((32*t[3])/9 + (32*t[5])/9 + (16*t[6])/9 - (64*t[7])/9 - (64*t[8])/9 + 
       (64*t[10])/9 - (80*t[11])/9 - (32*t[12])/9 + (32*t[13])/27 - 
       (176*t[14])/27 - (112*t[15])/27 + (128*t[28])/9 + (64*t[29])/9 - 
       (64*t[30])/9 - (64*t[31])/3 - (128*t[35])/3 - (64*t[44])/9 + 
       (80*t[48])/3 - (16*t[50])/9 + (16*t[52])/9 + (16*t[54])/9 + 
       (32*t[60])/9 - (224*t[61])/9 + (208*t[62])/9 - 16*t[63] - 
       (176*t[64])/9 + (352*t[65])/27 + (32*t[66])/9 - (64*t[72])/3 + 
       (128*t[75])/3 - (704*t[83])/9 + (32*t[84])/9 + (32*t[85])/9 - 
       (256*t[86])/9 - (32*t[87])/3 - (16*t[88])/3 + (80*t[89])/9 + 
       (64*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[u, w, v]*
      ((32*t[3])/9 - (4*t[5])/9 + (112*t[6])/9 - (88*t[7])/9 + (104*t[8])/9 + 
       20*t[9] - (8*t[10])/9 - (104*t[11])/9 + (4*t[12])/9 + (128*t[13])/27 + 
       (148*t[14])/27 - (134*t[15])/9 + (224*t[28])/9 + (64*t[29])/9 - 
       (256*t[30])/9 + (64*t[31])/3 + (128*t[35])/3 - (160*t[44])/9 + 
       (16*t[48])/3 - (112*t[50])/9 + (112*t[52])/9 + (112*t[54])/9 + 
       (224*t[60])/9 - (272*t[61])/9 + (136*t[62])/9 - (344*t[63])/3 - 
       (56*t[64])/9 + (1072*t[65])/27 - (112*t[66])/3 + (64*t[72])/3 + 
       (32*t[73])/3 + (224*t[75])/3 - (32*t[79])/3 - (224*t[83])/9 + 
       (128*t[84])/9 + (128*t[85])/9 + (32*t[86])/9 - 32*t[87] - 16*t[88] + 
       (104*t[89])/9 + (64*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - v]*((5*t[3])/6 + (25*t[4])/3 - (17*t[5])/6 + 
       (29*t[6])/8 - (21*t[7])/4 - (83*t[8])/12 + 2*t[9] - t[10]/3 - 
       (53*t[11])/24 + (29*t[12])/2 - (92*t[13])/9 - (3*t[14])/2 - 
       (35*t[15])/12 + t[16] - (11*t[25])/3 + (8*t[26])/3 + 2*t[31] - 
       2*t[36] + 5*t[37] + t[38] - (5*t[46])/3 - (11*t[48])/8 + t[49]/12 - 
       (41*t[50])/24 + (13*t[51])/24 + (41*t[52])/24 - (13*t[53])/12 - 
       (5*t[54])/8 + (7*t[59])/2 - (7*t[60])/12 - (101*t[61])/4 + 
       (409*t[62])/24 - (7*t[63])/24 - (871*t[64])/24 - (5*t[65])/2 + 
       11*t[66] + 11*t[69] - 5*t[70] + 5*t[71] - 4*t[72] + 5*t[73] - 
       5*t[74] + 11*t[75] - 7*t[79] + (3*t[81])/2 - (3*t[82])/2 - 
       (67*t[83])/3 - t[84]/2 + (65*t[85])/12 - (53*t[86])/3 - 
       (157*t[87])/12 - (169*t[88])/24 - (71*t[89])/24 + (43*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[w, u, v]*
      (-t[1] + (21*t[2])/8 + (143*t[3])/24 - (149*t[4])/12 + (5*t[5])/12 - 
       (22*t[6])/3 + (37*t[7])/8 - (181*t[8])/24 + (103*t[9])/24 + 
       (7*t[10])/12 - (271*t[11])/24 + (41*t[12])/12 - (221*t[13])/16 - 
       (149*t[14])/48 - (67*t[15])/72 + t[20]/3 - (5*t[28])/6 - t[30]/3 + 
       t[31]/2 + t[32] - (2*t[33])/3 + t[35] + t[36] + (3*t[37])/2 - 
       t[41]/4 + t[42]/4 + (3*t[43])/4 + (7*t[44])/6 - t[47]/2 - 
       (91*t[48])/24 - (37*t[49])/24 + (83*t[50])/24 + (13*t[51])/48 - 
       (83*t[52])/24 + (37*t[53])/24 - (11*t[54])/8 - (83*t[60])/12 - 
       (117*t[61])/4 - (101*t[62])/12 + (187*t[63])/6 + (23*t[64])/12 + 
       (40*t[65])/3 + (335*t[66])/12 - 4*t[72] - t[74] + t[75]/2 - t[77] - 
       t[78] + (13*t[79])/4 - (3*t[80])/2 - t[81] + t[82]/2 + (73*t[83])/12 - 
       t[84] + t[85]/3 + (239*t[86])/12 + (7*t[87])/3 + (7*t[88])/6 - 
       (19*t[89])/24 + 22*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((7*t[1])/6 - (23*t[2])/6 + 
       t[3]/3 + (343*t[4])/24 + (53*t[5])/3 - (11*t[6])/12 - (359*t[7])/12 + 
       (107*t[8])/12 - (143*t[9])/4 + (327*t[10])/16 - (95*t[11])/12 - 
       (1123*t[12])/48 + (2677*t[13])/216 - (73*t[14])/288 + 
       (4913*t[15])/432 - 3*t[26] - (2*t[27])/3 - (38*t[28])/3 - 
       (23*t[29])/3 + (23*t[30])/3 + 15*t[31] + t[34]/3 + (38*t[35])/3 - 
       4*t[36] - 2*t[37] + (7*t[38])/3 + 3*t[39] - 2*t[40] - t[41]/6 + 
       t[42]/6 + (43*t[43])/12 - (23*t[44])/3 + (21*t[45])/2 + 4*t[46] - 
       21*t[47] - (45*t[48])/4 + (121*t[49])/16 - (155*t[50])/12 - 
       (69*t[51])/32 + (29*t[52])/4 - (299*t[53])/48 - (65*t[54])/24 - 
       t[58] - (7*t[59])/6 - (17*t[60])/24 + (153*t[61])/8 + 
       (1871*t[62])/48 + (449*t[63])/48 - (773*t[64])/48 - (1021*t[65])/72 + 
       (83*t[66])/24 + 5*t[72] - (38*t[73])/3 + 4*t[74] + 6*t[75] + 
       (29*t[76])/3 + (14*t[77])/3 - (10*t[78])/3 + (2*t[79])/3 - 
       (14*t[80])/3 + (32*t[81])/3 - 7*t[82] + (137*t[83])/3 - (63*t[84])/8 + 
       (211*t[85])/24 - 46*t[86] - (115*t[87])/8 - (115*t[88])/16 + 
       (709*t[89])/48 + 2*t[96] + (7*t[97])/3 + 64*t[98] - 72*t[99] + 
       22*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*((59*t[2])/12 + (429*t[3])/8 - 48*t[4] + 
       (695*t[5])/24 - (203*t[6])/8 - (323*t[7])/12 + (863*t[8])/12 - 
       (2371*t[9])/24 - (94*t[10])/3 - (361*t[11])/24 + (121*t[12])/24 - 
       (2209*t[13])/72 - (311*t[14])/4 - (101*t[15])/24 + t[20] + 3*t[22] - 
       (14*t[28])/3 + (7*t[29])/2 + (44*t[30])/3 - 2*t[31] + (11*t[32])/3 - 
       7*t[33] - 6*t[34] + 5*t[35] + 11*t[36] + 2*t[37] - 2*t[39] + 2*t[40] + 
       (11*t[43])/2 - (5*t[44])/12 - 2*t[45] - 3*t[46] + 4*t[47] + 
       (143*t[48])/24 - t[49]/2 - (51*t[50])/8 + t[51] + (51*t[52])/8 + 
       t[53]/2 - (71*t[54])/8 - (7*t[59])/3 - (1975*t[60])/12 - 
       (983*t[61])/12 - (809*t[62])/24 + (385*t[63])/8 + (6523*t[64])/24 + 
       (2489*t[65])/36 + (4031*t[66])/36 + 2*t[69] + 8*t[73] - (19*t[74])/3 - 
       10*t[75] + 2*t[76] - 9*t[77] - 11*t[78] - 2*t[79] + 22*t[80] - 
       4*t[81] + 4*t[82] + (62*t[83])/3 - (115*t[84])/3 - (97*t[85])/6 + 
       (400*t[86])/3 + (199*t[87])/2 + (183*t[88])/4 - (65*t[89])/6 + 
       (8*t[95])/3 + 24*t[98] - 26*t[99] + 22*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((85*t[3])/8 - (199*t[4])/36 + (901*t[5])/72 - (249*t[6])/32 + 
       (247*t[7])/18 - (469*t[8])/36 - (893*t[9])/144 - (193*t[10])/36 - 
       (125*t[11])/96 - (77*t[12])/24 - (1465*t[13])/216 - 
       (10955*t[14])/864 - (1511*t[15])/864 - t[25]/2 + t[26]/2 + t[27]/2 - 
       (5*t[28])/2 + t[29]/2 - t[30]/2 - t[31]/2 + 2*t[32] - 2*t[33] + 
       2*t[35] - 3*t[36] - t[39]/2 + t[40]/2 + t[43] + (17*t[44])/4 - 
       (9*t[46])/4 - (107*t[48])/32 + (271*t[49])/72 + (229*t[50])/32 + 
       (19*t[51])/24 - (229*t[52])/32 - (271*t[53])/72 - (2521*t[54])/288 - 
       (463*t[60])/144 - (3407*t[61])/144 - (2455*t[62])/288 + 
       (1541*t[63])/96 + (4277*t[64])/288 + (1735*t[65])/432 + 
       (4919*t[66])/144 + (25*t[69])/6 - t[72]/2 - t[73] - 3*t[74] + 
       (49*t[75])/6 - (5*t[77])/2 - 3*t[78] - (7*t[79])/2 + (7*t[80])/2 - 
       (23*t[81])/4 + (27*t[82])/4 - (71*t[83])/36 - (589*t[84])/144 - 
       (643*t[85])/144 + (367*t[86])/18 + (103*t[87])/48 + (103*t[88])/96 - 
       (1877*t[89])/288 - 2*t[99] + (277*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      (-t[1]/6 + (149*t[2])/96 + (239*t[3])/72 - (1783*t[4])/288 - 
       (377*t[5])/288 - (1073*t[6])/288 - (101*t[7])/96 - (4783*t[8])/288 + 
       (145*t[9])/72 + (1189*t[10])/576 - (2039*t[11])/144 - 
       (313*t[12])/576 - (9737*t[13])/864 - (205*t[14])/128 - 
       (7577*t[15])/1728 + (5*t[20])/18 + t[24]/12 - t[25]/4 + t[26]/4 + 
       t[27]/12 + (29*t[28])/9 + (9*t[29])/4 - (19*t[30])/9 - (13*t[31])/12 + 
       t[32]/3 - t[33]/18 + t[34]/6 + (19*t[35])/12 - (3*t[36])/2 - t[37]/4 - 
       t[38]/12 - (5*t[39])/6 + (5*t[40])/8 - (5*t[41])/24 + (5*t[42])/24 - 
       (7*t[43])/8 + (115*t[44])/72 - t[45] - t[46] + (19*t[47])/12 - 
       (427*t[48])/288 - (287*t[49])/576 + (305*t[50])/288 + 
       (479*t[51])/1152 - (257*t[52])/288 + (95*t[53])/576 + (63*t[54])/16 - 
       t[59]/12 + (1253*t[60])/288 - (2561*t[61])/96 + (2707*t[62])/144 - 
       (469*t[63])/36 - (24025*t[64])/576 - (3661*t[65])/288 + 
       (1085*t[66])/72 - t[68]/2 + t[69]/4 + t[72]/12 + (17*t[73])/24 + 
       (11*t[74])/8 + (245*t[75])/24 - (7*t[76])/6 - t[77]/6 + (4*t[78])/3 - 
       t[79]/4 - (7*t[80])/3 - (97*t[81])/48 + (157*t[82])/48 - 
       (143*t[83])/9 + (25*t[84])/16 - (319*t[85])/288 - (403*t[86])/36 - 
       (2113*t[87])/288 - (2113*t[88])/576 - (3815*t[89])/576 - t[96]/2 - 
       t[97]/3 - 12*t[98] + 17*t[99] + (143*t[100])/6) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*((-5*t[1])/2 - 14*t[2] + 
       28*t[3] + (77*t[4])/4 + (127*t[5])/16 - (233*t[6])/4 + (491*t[7])/4 - 
       (317*t[8])/2 + (1255*t[9])/16 + 50*t[10] + (567*t[11])/8 + 
       (453*t[12])/16 + (575*t[13])/36 - (13*t[14])/12 - (1039*t[15])/96 + 
       t[17] - (38*t[19])/3 - 4*t[20] - 12*t[21] - 10*t[22] + 12*t[23] - 
       30*t[24] + 2*t[26] - 11*t[27] + 6*t[28] + (19*t[29])/2 - 12*t[30] + 
       16*t[31] - 25*t[32] - 2*t[33] - 7*t[34] - 12*t[35] + 4*t[36] + 
       12*t[37] - 4*t[39] + (11*t[40])/2 - (19*t[41])/2 + (19*t[42])/2 + 
       (83*t[43])/8 - (53*t[44])/4 - (19*t[45])/2 - 6*t[46] + 31*t[47] - 
       59*t[48] + 14*t[49] + 27*t[50] - (69*t[51])/16 - 38*t[52] - 14*t[53] - 
       68*t[54] - t[55]/2 - 2*t[56] + 6*t[57] - 5*t[59] + 65*t[60] - 
       (273*t[61])/4 - (633*t[62])/8 - (1015*t[63])/8 - (485*t[64])/8 + 
       (73*t[65])/4 - (1685*t[66])/12 - 4*t[68] - 4*t[70] + 4*t[71] - 
       10*t[72] + 36*t[73] - 30*t[74] - 82*t[75] - (35*t[76])/2 + 5*t[77] + 
       16*t[78] - 47*t[80] + (39*t[81])/2 - 21*t[82] + 42*t[83] - t[84]/2 + 
       55*t[85] + (357*t[86])/2 - 47*t[87] - (85*t[88])/2 + (183*t[89])/4 + 
       t[91]/6 + 4*t[95] + 4*t[96] - 4*t[97] + 24*t[98] - 24*t[99] + 
       24*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*
      ((-5*t[1])/2 - t[2]/2 - (55*t[3])/4 + (309*t[4])/4 - (1419*t[5])/16 + 
       (185*t[6])/8 + (483*t[7])/8 - (49*t[8])/8 + (1879*t[9])/16 - 
       (799*t[10])/8 - (503*t[11])/8 - (337*t[12])/16 + (61*t[13])/48 + 
       (95*t[14])/24 - (2025*t[15])/32 + 4*t[16] + 2*t[25] - 19*t[26] - 
       t[27] - 6*t[28] - (7*t[29])/2 + (25*t[30])/2 + 15*t[31] + 2*t[32] - 
       2*t[33] - 3*t[34] + 26*t[35] + 24*t[36] + 14*t[37] + 4*t[38] - 
       10*t[39] - 12*t[40] + t[41]/2 - t[42]/2 - (73*t[43])/4 + 
       (119*t[44])/4 - (87*t[45])/4 - 4*t[46] + (91*t[47])/2 - (7*t[48])/4 + 
       (205*t[49])/4 - (5*t[50])/4 - (289*t[51])/16 + (49*t[52])/4 - 
       (185*t[53])/4 - (39*t[54])/4 + t[58] - 5*t[59] + 65*t[60] - 
       (273*t[61])/4 - (633*t[62])/8 - (1015*t[63])/8 - (485*t[64])/8 + 
       (73*t[65])/4 - (1685*t[66])/12 - 4*t[68] - 4*t[70] + 4*t[71] - 
       10*t[72] + 36*t[73] - 30*t[74] - 82*t[75] - (35*t[76])/2 + 5*t[77] + 
       16*t[78] - 47*t[80] + (39*t[81])/2 - 21*t[82] + 42*t[83] - t[84]/2 + 
       55*t[85] + (357*t[86])/2 - 47*t[87] - (85*t[88])/2 + (183*t[89])/4 + 
       t[91]/6 + 4*t[95] + 4*t[96] - 4*t[97] + 24*t[98] - 24*t[99] + 
       24*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(-t[1]/6 + (79*t[2])/48 + (169*t[3])/24 + 
       (1349*t[4])/96 + (33*t[5])/4 - (253*t[6])/64 - (43*t[7])/32 - 
       (619*t[8])/32 - (23*t[9])/24 + (1109*t[10])/192 + (475*t[11])/64 - 
       (277*t[12])/64 + (1201*t[13])/432 - (13097*t[14])/1152 + 
       (785*t[15])/576 + t[20]/4 - t[22]/4 - t[25]/3 + t[26]/3 + t[27]/6 + 
       (7*t[28])/3 + (11*t[29])/12 + t[30]/12 + t[31] + (3*t[32])/4 - 
       (3*t[33])/4 + t[34]/6 - 2*t[35] - (19*t[36])/4 - t[37]/6 - t[38]/12 + 
       (7*t[39])/4 - (3*t[40])/2 - (5*t[41])/24 + (5*t[42])/24 + t[43]/4 + 
       (7*t[44])/12 + 3*t[45] + (77*t[46])/24 - (25*t[47])/4 - 
       (227*t[48])/192 + (617*t[49])/192 + (351*t[50])/64 - (219*t[51])/128 - 
       (1021*t[52])/192 - (227*t[53])/64 - (1855*t[54])/192 + 
       (139*t[60])/32 - (869*t[61])/32 + (1807*t[62])/96 - (411*t[63])/32 - 
       (8045*t[64])/192 - (3677*t[65])/288 + (31*t[66])/2 - t[68]/2 + 
       (5*t[69])/12 - t[70]/12 + t[71]/12 + t[72]/12 + (19*t[73])/24 + 
       (31*t[74])/24 + (247*t[75])/24 - (7*t[76])/6 - t[77]/6 + (4*t[78])/3 - 
       t[79]/3 - (7*t[80])/3 - (33*t[81])/16 + (53*t[82])/16 - 
       (127*t[83])/8 + (25*t[84])/16 - (33*t[85])/32 - 11*t[86] - 
       (709*t[87])/96 - (709*t[88])/192 - (425*t[89])/64 - t[96]/2 - 
       t[97]/3 - 12*t[98] + 17*t[99] + 24*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*(5*t[1] + 5*t[2] - 
       (53*t[3])/4 - (55*t[4])/4 + (463*t[5])/8 + (97*t[6])/2 - 
       (249*t[7])/4 + (337*t[8])/4 - (397*t[9])/8 + (641*t[10])/8 - 
       (587*t[11])/4 - (405*t[12])/4 - (4381*t[13])/72 + (797*t[14])/48 + 
       (6043*t[15])/144 - 2*t[16] + 7*t[25] - 9*t[26] - 6*t[27] - 14*t[28] + 
       10*t[29] - 8*t[31] - 4*t[32] + 4*t[33] + 4*t[34] - 4*t[35] - 6*t[36] - 
       3*t[37] - 17*t[39] + 3*t[40] - 2*t[41] + 2*t[42] + (23*t[43])/2 - 
       13*t[44] + (13*t[45])/2 - (9*t[46])/2 - 17*t[47] + (71*t[48])/2 + 
       (417*t[49])/8 - 3*t[50] - (355*t[51])/16 + 11*t[52] - (457*t[53])/8 - 
       t[54]/4 - (239*t[60])/4 - 60*t[61] + (1319*t[62])/8 + (1837*t[63])/8 - 
       78*t[64] + (73*t[65])/6 + 174*t[66] + 3*t[68] - 4*t[70] + 4*t[71] - 
       24*t[72] - 20*t[73] - 2*t[74] + 60*t[75] - 17*t[76] - 6*t[77] + 
       40*t[78] + 12*t[79] + 32*t[80] - (19*t[81])/2 - (3*t[82])/2 - 
       18*t[83] - (41*t[84])/2 + (41*t[85])/4 - 95*t[86] + (7*t[87])/4 - 
       (241*t[88])/8 - (19*t[89])/4 - 2*t[93] + 4*t[95] - 8*t[96] - 
       10*t[97] - 36*t[98] + 36*t[99] + 24*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*(-5*t[1] + (7*t[2])/4 + 
       (137*t[3])/4 + (59*t[4])/4 - 55*t[5] - (23*t[6])/8 - (27*t[7])/2 - 
       123*t[8] + (71*t[9])/4 - (551*t[10])/8 - (125*t[11])/8 + 
       (279*t[12])/8 + (329*t[13])/12 - (485*t[14])/16 + (215*t[15])/24 - 
       (3*t[17])/2 + 4*t[19] + 4*t[20] + 4*t[21] - 12*t[22] - 4*t[23] + 
       6*t[24] - 4*t[27] + 8*t[28] - 8*t[29] + 8*t[30] + 24*t[31] - 9*t[32] + 
       5*t[33] + 18*t[34] - 8*t[35] - 8*t[36] + 4*t[37] - 2*t[38] - 4*t[39] + 
       4*t[40] + 4*t[41] - 4*t[42] + (23*t[43])/4 - 23*t[44] - 24*t[45] - 
       2*t[46] + 29*t[47] - (357*t[48])/8 - (241*t[49])/8 + (223*t[50])/8 + 
       (325*t[51])/16 - (271*t[52])/8 + (177*t[53])/8 + (243*t[54])/8 + 
       2*t[55] - 4*t[57] - (239*t[60])/4 - 60*t[61] + (1319*t[62])/8 + 
       (1837*t[63])/8 - 78*t[64] + (73*t[65])/6 + 174*t[66] + 3*t[68] - 
       4*t[70] + 4*t[71] - 24*t[72] - 20*t[73] - 2*t[74] + 60*t[75] - 
       17*t[76] - 6*t[77] + 40*t[78] + 12*t[79] + 32*t[80] - (19*t[81])/2 - 
       (3*t[82])/2 - 18*t[83] - (41*t[84])/2 + (41*t[85])/4 - 95*t[86] + 
       (7*t[87])/4 - (241*t[88])/8 - (19*t[89])/4 - 2*t[93] + 4*t[95] - 
       8*t[96] - 10*t[97] - 36*t[98] + 36*t[99] + 24*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      (-t[1] + (7*t[2])/4 + (29*t[3])/12 - (19*t[4])/6 + (215*t[5])/48 - 
       (47*t[6])/12 + (9*t[7])/8 - (581*t[8])/24 + (47*t[9])/16 + 
       (499*t[10])/24 - (21*t[11])/8 + (425*t[12])/48 - (37*t[13])/8 - 
       (493*t[14])/144 - (665*t[15])/288 - t[20]/3 - t[22]/2 + t[24] - 
       6*t[28] - (11*t[29])/3 + 3*t[30] + (5*t[31])/3 - t[33]/3 - 6*t[35] - 
       (7*t[36])/6 + 2*t[37] + 2*t[39] - 2*t[40] + t[43]/3 + 6*t[44] + 
       2*t[45] + 3*t[46] - 4*t[47] - (35*t[48])/6 - (17*t[49])/12 + 4*t[50] + 
       t[51]/24 - 4*t[52] + (17*t[53])/12 - (29*t[54])/6 - (143*t[60])/12 + 
       (139*t[61])/12 + (263*t[62])/24 - (71*t[63])/24 - (7*t[64])/8 - 
       (125*t[65])/6 + (7*t[66])/6 - (5*t[69])/6 - 4*t[72] + (13*t[73])/6 + 
       3*t[74] - (5*t[75])/2 + 2*t[77] + 2*t[78] + (29*t[79])/6 - 8*t[80] + 
       2*t[81] - (17*t[82])/6 - (67*t[83])/12 - (3*t[85])/2 - (39*t[86])/2 + 
       (34*t[87])/3 + (17*t[88])/3 - (11*t[89])/12 - 4*t[99] + 
       (97*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]^2*(-t[1]/3 - (121*t[2])/48 - (113*t[3])/12 + 
       (361*t[4])/48 + (347*t[5])/48 + (355*t[6])/48 - (185*t[7])/16 - 
       (205*t[8])/16 + (47*t[9])/8 + (127*t[10])/32 + (65*t[11])/24 + 
       (155*t[12])/96 + (5087*t[13])/432 + (8333*t[14])/576 + 
       (3583*t[15])/864 + (4*t[20])/3 - (3*t[22])/2 + t[24]/2 - t[27]/3 + 
       (16*t[28])/3 - 2*t[29] + (4*t[30])/3 - (11*t[31])/6 - (7*t[32])/3 + 
       (35*t[33])/12 + t[34]/3 - 6*t[35] - 2*t[36] - t[38]/6 - (5*t[39])/12 - 
       t[41]/6 + t[42]/6 - (11*t[43])/12 - (3*t[44])/2 + t[46]/4 - t[47]/3 + 
       (73*t[48])/48 - (71*t[49])/96 - (7*t[50])/48 + (25*t[51])/64 + 
       (23*t[52])/48 + (7*t[53])/96 + (71*t[54])/24 + (35*t[59])/24 + 
       (445*t[60])/16 + (355*t[61])/48 + (2549*t[62])/96 - (583*t[63])/96 - 
       (4561*t[64])/96 - (35*t[65])/3 - (601*t[66])/72 + (3*t[69])/4 - 
       (4*t[72])/3 - (7*t[73])/4 + (7*t[74])/4 + (9*t[75])/4 - (7*t[76])/3 + 
       (7*t[77])/6 + (43*t[78])/6 + t[79]/4 - (11*t[80])/3 + (115*t[81])/24 - 
       (9*t[82])/8 - (203*t[83])/24 + (179*t[84])/24 + (67*t[85])/48 - 
       (499*t[86])/12 - (907*t[87])/48 - (895*t[88])/96 + (199*t[89])/96 - 
       t[96] - (2*t[97])/3 - 14*t[98] + 8*t[99] + (197*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      (-t[3]/2 + (139*t[4])/6 - (305*t[5])/24 - t[6] + (2*t[7])/3 - 
       (29*t[8])/6 + (395*t[9])/24 - (28*t[10])/3 - (35*t[11])/4 - 
       (101*t[12])/8 + (31*t[13])/9 - (707*t[14])/72 - (763*t[15])/144 - 
       7*t[36] - (13*t[43])/4 - (13*t[45])/2 + t[46] + 13*t[47] - 
       (3*t[48])/2 + (35*t[49])/3 - t[50]/2 - t[51] + t[52]/2 - 
       (35*t[53])/3 + (23*t[54])/6 + (23*t[60])/3 - (115*t[61])/6 + 
       (391*t[62])/12 - (77*t[63])/4 - (155*t[64])/12 + (10*t[65])/9 + 
       23*t[66] - 23*t[73] + 55*t[75] - 7*t[79] + t[81] - t[82] - 
       (20*t[83])/3 - (23*t[84])/6 - (4*t[85])/3 - (25*t[86])/3 - 10*t[87] - 
       5*t[88] + (149*t[89])/12 + 25*t[100]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-7*t[3])/3 - (9*t[4])/2 + (379*t[5])/24 + (25*t[6])/3 - 
       (167*t[7])/6 + (101*t[8])/3 - (175*t[9])/8 + (17*t[10])/6 - 
       (137*t[11])/12 - (223*t[12])/24 + t[13]/18 + (1445*t[14])/72 + 
       (997*t[15])/144 + (41*t[28])/3 - (20*t[29])/3 + (20*t[30])/3 + 
       (13*t[43])/4 - (67*t[44])/3 + (13*t[45])/2 - 13*t[47] + 6*t[48] + 
       t[49] - (28*t[50])/3 - t[51]/2 + (28*t[52])/3 - t[53] + (22*t[54])/3 + 
       (23*t[60])/3 - (115*t[61])/6 + (391*t[62])/12 - (77*t[63])/4 - 
       (155*t[64])/12 + (10*t[65])/9 + 23*t[66] - 23*t[73] + 55*t[75] - 
       7*t[79] + t[81] - t[82] - (20*t[83])/3 - (23*t[84])/6 - (4*t[85])/3 - 
       (25*t[86])/3 - 10*t[87] - 5*t[88] + (149*t[89])/12 + 25*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((25*t[1])/3 - t[2]/2 + 2*t[3] + (293*t[4])/12 + (43*t[5])/2 + 
       (19*t[6])/24 + (13*t[7])/2 + (35*t[8])/2 - (73*t[9])/6 - t[10]/6 + 
       (977*t[11])/24 - (74*t[12])/3 + (181*t[13])/6 + (283*t[14])/144 - 
       (77*t[15])/18 - (5*t[16])/3 + 8*t[25] - 17*t[26] + 2*t[27] - 2*t[28] - 
       2*t[31] - (14*t[36])/3 + (11*t[37])/3 + (19*t[38])/3 - 2*t[39] + 
       2*t[40] - (7*t[46])/3 + (43*t[48])/24 + (19*t[49])/12 + (17*t[50])/8 - 
       (143*t[51])/48 - (67*t[52])/24 - (17*t[53])/12 - (195*t[54])/8 - 
       (14*t[59])/3 + (239*t[60])/4 + (19*t[61])/3 - (347*t[62])/12 - 
       (43*t[63])/2 + (166*t[64])/3 - (93*t[65])/4 - (809*t[66])/36 + 
       (5*t[67])/3 - 5*t[69] + t[70] - t[71] - 2*t[72] + (8*t[74])/3 - 
       2*t[75] + (4*t[76])/3 - (5*t[77])/3 - (20*t[78])/3 + 8*t[79] - 
       2*t[80] - (3*t[81])/2 + (15*t[82])/2 + t[83] + (191*t[84])/12 + 
       14*t[85] + 4*t[86] - (21*t[87])/2 + (15*t[88])/4 + (81*t[89])/8 - 
       (20*t[95])/3 + (4*t[96])/3 + t[97]/3 + 8*t[98] - 28*t[99] + 
       26*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*(t[1]/6 + (27*t[2])/2 - (959*t[3])/24 - 
       (283*t[4])/12 - (77*t[5])/6 + t[6]/3 + (41*t[7])/4 + (49*t[8])/4 + 
       24*t[9] + (57*t[10])/8 - (203*t[11])/6 + (173*t[12])/24 - 
       (731*t[13])/36 + (3065*t[14])/144 - (6587*t[15])/432 + 3*t[18] + 
       15*t[20] - 11*t[22] + (5*t[29])/6 - (17*t[30])/3 + (71*t[32])/6 - 
       (22*t[33])/3 + (35*t[34])/3 + 2*t[36] + 2*t[37] - (2*t[40])/3 + 
       (7*t[41])/6 - (7*t[42])/6 - (215*t[44])/12 - t[46] + 2*t[47] - 
       (23*t[48])/3 - (29*t[49])/8 - (7*t[50])/3 + (17*t[51])/16 + 
       (10*t[52])/3 + (29*t[53])/8 + 17*t[54] - (14*t[59])/3 + 
       (239*t[60])/4 + (19*t[61])/3 - (347*t[62])/12 - (43*t[63])/2 + 
       (166*t[64])/3 - (93*t[65])/4 - (809*t[66])/36 + (5*t[67])/3 - 
       5*t[69] + t[70] - t[71] - 2*t[72] + (8*t[74])/3 - 2*t[75] + 
       (4*t[76])/3 - (5*t[77])/3 - (20*t[78])/3 + 8*t[79] - 2*t[80] - 
       (3*t[81])/2 + (15*t[82])/2 + t[83] + (191*t[84])/12 + 14*t[85] + 
       4*t[86] - (21*t[87])/2 + (15*t[88])/4 + (81*t[89])/8 - (20*t[95])/3 + 
       (4*t[96])/3 + t[97]/3 + 8*t[98] - 28*t[99] + 26*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2*
      ((-43*t[1])/12 + (17*t[2])/12 - (55*t[3])/24 + 12*t[4] + (37*t[5])/24 + 
       (147*t[6])/32 - (71*t[7])/16 - (7*t[8])/16 + (47*t[9])/12 + 
       (343*t[10])/48 - (815*t[11])/96 + (139*t[12])/48 + (29*t[13])/432 + 
       (83*t[14])/96 + (28*t[15])/9 - t[16]/4 + (37*t[25])/12 + t[26]/6 + 
       t[27]/3 + (11*t[28])/6 + (2*t[29])/3 + t[30]/3 + (13*t[31])/6 + 
       t[34]/3 - (7*t[35])/2 - 3*t[36] + t[37]/2 - (41*t[38])/12 + 2*t[39] - 
       (5*t[40])/2 - t[41]/6 + t[42]/6 - t[43]/6 - t[44]/6 + (3*t[45])/2 + 
       (17*t[46])/6 - 3*t[47] + (157*t[48])/96 + (5*t[49])/24 - 
       (67*t[50])/96 - (61*t[51])/48 + (33*t[52])/32 - (5*t[53])/8 + 
       (419*t[54])/96 + (47*t[59])/24 + (1397*t[60])/48 + (59*t[61])/16 + 
       (2507*t[62])/96 - (311*t[63])/32 - (4583*t[64])/96 - (197*t[65])/18 - 
       (523*t[66])/72 + (11*t[69])/4 - t[70]/2 + t[71]/2 - t[72]/3 - 
       t[73]/4 + (5*t[74])/4 + (15*t[75])/4 - (7*t[76])/3 + (7*t[77])/6 + 
       (43*t[78])/6 - (5*t[79])/4 - (11*t[80])/3 + (109*t[81])/24 - 
       (7*t[82])/8 - (173*t[83])/24 + (187*t[84])/24 + (35*t[85])/16 - 
       (457*t[86])/12 - (339*t[87])/16 - (335*t[88])/32 + (197*t[89])/96 - 
       t[96] - (2*t[97])/3 - 14*t[98] + 8*t[99] + (209*t[100])/8) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      ((-4*t[1])/3 + (7*t[2])/6 + (19*t[3])/3 - 12*t[4] - (79*t[5])/24 - 
       (131*t[6])/12 - (32*t[7])/3 - (41*t[8])/2 + (59*t[9])/24 - 
       (43*t[10])/6 - (70*t[11])/3 - (61*t[12])/24 - (709*t[13])/108 - 
       (163*t[14])/18 - (4993*t[15])/432 - t[25] + t[26] - t[27]/3 - 
       3*t[28] - (7*t[29])/3 - 4*t[30] - t[31]/3 - (4*t[32])/3 + 
       (4*t[33])/3 + (4*t[34])/3 + 6*t[35] + t[36] - 2*t[37] - (2*t[38])/3 - 
       (13*t[39])/6 + t[40]/2 - (2*t[41])/3 + (2*t[42])/3 - (2*t[43])/3 + 
       (25*t[44])/6 - 2*t[45] - (3*t[46])/2 + (8*t[47])/3 - (19*t[48])/4 - 
       t[49]/6 + (17*t[50])/12 + (31*t[51])/24 - t[52]/12 - (5*t[53])/2 + 
       (5*t[54])/4 - (5*t[59])/3 - 5*t[60] - 59*t[61] + (61*t[62])/24 - 
       (53*t[63])/24 + (13*t[64])/12 - t[65]/9 + (65*t[66])/18 - t[69] - 
       t[72]/3 - 6*t[73] - 2*t[74] - t[75] - (28*t[76])/3 - (13*t[77])/3 + 
       (44*t[78])/3 + 2*t[79] + (19*t[80])/3 - (5*t[81])/6 + (5*t[82])/2 + 
       (35*t[83])/2 + (35*t[84])/12 + (65*t[85])/6 + (112*t[86])/3 + 
       (41*t[87])/6 + (41*t[88])/12 - (151*t[89])/12 - 4*t[96] - 
       (8*t[97])/3 - 44*t[98] + 46*t[99] + 27*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-8*t[1])/3 + (245*t[2])/6 - (103*t[3])/12 - (63*t[4])/4 + 
       (385*t[5])/24 - (601*t[6])/48 - (88*t[7])/3 - 47*t[8] - (41*t[9])/6 - 
       (443*t[10])/24 - (371*t[11])/48 + (5*t[12])/3 - (143*t[13])/27 + 
       (125*t[14])/9 - (5209*t[15])/216 + 5*t[18] + 18*t[20] - 10*t[22] - 
       (8*t[27])/3 - 2*t[28] - (109*t[29])/6 - 3*t[30] - (8*t[31])/3 + 
       (4*t[32])/3 - (19*t[33])/3 + (32*t[34])/3 + 4*t[35] - 2*t[36] - 
       (4*t[38])/3 - (11*t[39])/6 - t[40] - (4*t[41])/3 + (4*t[42])/3 - 
       (4*t[43])/3 + (53*t[44])/6 - t[46] - (8*t[47])/3 - (105*t[48])/16 - 
       (83*t[49])/24 - (419*t[50])/48 + (55*t[51])/48 + (547*t[52])/48 - 
       (15*t[53])/8 - (95*t[54])/16 - (34*t[59])/3 + (589*t[60])/8 - 
       (427*t[61])/8 - (701*t[62])/48 - (1307*t[63])/48 - (13*t[64])/48 - 
       (1969*t[65])/72 - (1763*t[66])/72 + 2*t[67] - 9*t[69] - t[70] + 
       t[71] + (16*t[72])/3 - 6*t[73] + 4*t[74] - 6*t[75] - (50*t[76])/3 - 
       (14*t[77])/3 + (76*t[78])/3 + 10*t[79] - (16*t[80])/3 + (7*t[81])/3 + 
       6*t[82] + 24*t[83] + (551*t[84])/24 + (403*t[85])/24 + (146*t[86])/3 - 
       (557*t[87])/24 - (557*t[88])/48 - (947*t[89])/48 - 8*t[96] - 
       (16*t[97])/3 - 76*t[98] + 76*t[99] + 28*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((49*t[1])/3 + (41*t[2])/6 + (11*t[3])/4 + (1037*t[4])/24 - 
       (133*t[5])/8 - (65*t[6])/8 + (83*t[7])/4 - (53*t[8])/12 + 
       (737*t[9])/24 - (1757*t[10])/48 + (221*t[11])/8 - (1759*t[12])/48 + 
       (1141*t[13])/108 - (1805*t[14])/96 - (107*t[15])/18 - 2*t[16] + 
       5*t[25] - 17*t[26] + (8*t[27])/3 - (16*t[28])/3 - (8*t[29])/3 + 
       (14*t[30])/3 - (8*t[31])/3 + (8*t[34])/3 - 4*t[35] - 4*t[36] + 
       8*t[37] + (38*t[38])/3 - 4*t[39] - (4*t[41])/3 + (4*t[42])/3 - 
       (4*t[43])/3 + (8*t[44])/3 - t[46] - (415*t[48])/24 - (329*t[49])/16 + 
       (437*t[50])/24 + (477*t[51])/32 - (373*t[52])/24 + (539*t[53])/48 - 
       (19*t[54])/12 - (34*t[59])/3 + (589*t[60])/8 - (427*t[61])/8 - 
       (701*t[62])/48 - (1307*t[63])/48 - (13*t[64])/48 - (1969*t[65])/72 - 
       (1763*t[66])/72 + 2*t[67] - 9*t[69] - t[70] + t[71] + (16*t[72])/3 - 
       6*t[73] + 4*t[74] - 6*t[75] - (50*t[76])/3 - (14*t[77])/3 + 
       (76*t[78])/3 + 10*t[79] - (16*t[80])/3 + (7*t[81])/3 + 6*t[82] + 
       24*t[83] + (551*t[84])/24 + (403*t[85])/24 + (146*t[86])/3 - 
       (557*t[87])/24 - (557*t[88])/48 - (947*t[89])/48 - 8*t[96] - 
       (16*t[97])/3 - 76*t[98] + 76*t[99] + 28*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-8*t[1])/3 + (143*t[2])/3 - (347*t[3])/12 + (151*t[4])/24 + 
       (3*t[5])/8 - (163*t[6])/6 - (59*t[7])/12 - (349*t[8])/12 + 
       (65*t[9])/8 - (971*t[10])/48 + (127*t[11])/4 + (121*t[12])/16 + 
       (5759*t[13])/216 - (3349*t[14])/288 - (169*t[15])/18 - 3*t[18] - 
       14*t[20] + 6*t[22] + (8*t[27])/3 - (16*t[28])/3 - 13*t[29] + 
       (14*t[30])/3 - (8*t[31])/3 + (14*t[32])/3 - (31*t[33])/3 + 
       (32*t[34])/3 - 4*t[35] - (4*t[38])/3 - 4*t[39] - (4*t[41])/3 + 
       (4*t[42])/3 - (4*t[43])/3 - 2*t[44] + t[46] - (71*t[48])/3 - 
       (941*t[49])/48 + (46*t[50])/3 + (833*t[51])/96 - (38*t[52])/3 + 
       (685*t[53])/48 - (535*t[54])/24 - 10*t[59] + (473*t[60])/8 - 
       (2245*t[61])/24 + (839*t[62])/48 - (1183*t[63])/48 + (613*t[64])/16 - 
       (1553*t[65])/72 - (2891*t[66])/72 + (7*t[67])/3 + 7*t[69] - t[70] + 
       t[71] + (16*t[72])/3 - 6*t[73] + (14*t[74])/3 - 6*t[75] - 
       (50*t[76])/3 - (14*t[77])/3 + (76*t[78])/3 + 10*t[79] - (16*t[80])/3 + 
       (8*t[81])/3 + (17*t[82])/3 + 24*t[83] + (559*t[84])/24 + 
       (407*t[85])/24 + (146*t[86])/3 - (257*t[87])/24 - (401*t[88])/48 - 
       (919*t[89])/48 - 8*t[96] - (16*t[97])/3 - 76*t[98] + 76*t[99] + 
       28*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (13*t[1] + (23*t[2])/6 + (133*t[3])/12 - (46*t[4])/3 - (31*t[5])/24 - 
       (187*t[6])/48 - 19*t[7] - 15*t[8] + (91*t[9])/12 - (209*t[10])/4 - 
       (1093*t[11])/48 - (365*t[12])/8 - (949*t[13])/216 - (461*t[14])/48 - 
       (4093*t[15])/216 - (7*t[16])/3 + (17*t[25])/3 - (55*t[26])/3 - 
       (8*t[27])/3 - 2*t[28] - (19*t[29])/6 - 3*t[30] - (8*t[31])/3 - 
       (8*t[32])/3 + (8*t[33])/3 + (8*t[34])/3 + 4*t[35] - (20*t[36])/3 + 
       (29*t[37])/3 + (52*t[38])/3 - (11*t[39])/6 - t[40] - (4*t[41])/3 + 
       (4*t[42])/3 - (4*t[43])/3 + (23*t[44])/6 - 3*t[46] - (8*t[47])/3 + 
       t[48]/16 - 4*t[49] - (301*t[50])/48 + (83*t[51])/12 + (143*t[52])/16 - 
       (40*t[53])/3 + (593*t[54])/48 - 10*t[59] + (473*t[60])/8 - 
       (2245*t[61])/24 + (839*t[62])/48 - (1183*t[63])/48 + (613*t[64])/16 - 
       (1553*t[65])/72 - (2891*t[66])/72 + (7*t[67])/3 + 7*t[69] - t[70] + 
       t[71] + (16*t[72])/3 - 6*t[73] + (14*t[74])/3 - 6*t[75] - 
       (50*t[76])/3 - (14*t[77])/3 + (76*t[78])/3 + 10*t[79] - (16*t[80])/3 + 
       (8*t[81])/3 + (17*t[82])/3 + 24*t[83] + (559*t[84])/24 + 
       (407*t[85])/24 + (146*t[86])/3 - (257*t[87])/24 - (401*t[88])/48 - 
       (919*t[89])/48 - 8*t[96] - (16*t[97])/3 - 76*t[98] + 76*t[99] + 
       28*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]^2*
      ((21*t[2])/2 + (7*t[3])/4 - 6*t[4] - (13*t[5])/8 - (15*t[6])/2 + 
       (71*t[7])/4 - (67*t[8])/4 - (3*t[9])/8 - (15*t[10])/4 - 6*t[11] - 
       (15*t[12])/8 - (163*t[13])/24 + (23*t[14])/12 - (341*t[15])/144 + 
       t[20] - 2*t[28] + 7*t[32] - 2*t[33] + t[34] + 5*t[35] - (21*t[48])/4 + 
       t[49]/2 + (21*t[50])/4 + (11*t[51])/8 - (21*t[52])/4 - t[53]/2 - 
       (21*t[54])/4 - (13*t[59])/2 - 8*t[60] - 20*t[61] + (17*t[62])/2 + 
       (29*t[63])/4 - (17*t[64])/4 - (17*t[65])/2 + (175*t[66])/6 - t[67] + 
       t[69] + 7*t[70] - 7*t[71] - 2*t[73] - 3*t[75] - 7*t[79] - 2*t[81] + 
       2*t[82] + 17*t[83] - 3*t[84] + t[86] + 2*t[87] + t[88] - (3*t[89])/4 + 
       (57*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]^2*
      (6*t[1] + (5*t[3])/2 + 6*t[4] + (21*t[5])/8 + 4*t[6] - (59*t[7])/4 + 
       (73*t[8])/4 - (97*t[9])/8 + 13*t[10] - (57*t[11])/4 - (207*t[12])/8 - 
       (41*t[13])/6 - (7*t[14])/3 - (91*t[15])/48 + t[16]/2 - 6*t[25] + 
       3*t[29] - 7*t[36] - 8*t[37] + 4*t[38] - (13*t[44])/2 - t[46] + 
       4*t[48] + (21*t[49])/4 - 3*t[50] + (7*t[51])/8 + 3*t[52] - 
       (21*t[53])/4 + 4*t[54] - (13*t[59])/2 - 8*t[60] - 20*t[61] + 
       (17*t[62])/2 + (29*t[63])/4 - (17*t[64])/4 - (17*t[65])/2 + 
       (175*t[66])/6 - t[67] + t[69] + 7*t[70] - 7*t[71] - 2*t[73] - 
       3*t[75] - 7*t[79] - 2*t[81] + 2*t[82] + 17*t[83] - 3*t[84] + t[86] + 
       2*t[87] + t[88] - (3*t[89])/4 + (57*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      (t[1]/8 - (289*t[2])/72 + (109*t[3])/12 - (313*t[4])/144 + 
       (165*t[5])/8 - (2213*t[6])/432 - (1069*t[7])/36 - (47*t[8])/6 - 
       (2993*t[9])/72 + (4117*t[10])/288 - (39*t[11])/8 - (3643*t[12])/288 - 
       (1645*t[13])/1296 - (14047*t[14])/576 + (5443*t[15])/864 - t[17]/2 + 
       t[18]/27 - (2*t[20])/3 - (4*t[21])/3 + t[22]/3 + (37*t[23])/18 + 
       2*t[24] - (5*t[26])/36 - t[27]/2 - (4*t[28])/3 - t[29] + (2*t[30])/3 - 
       (8*t[31])/3 - (5*t[32])/6 + t[33]/6 - (25*t[34])/12 - (7*t[35])/3 + 
       (5*t[36])/4 + (3*t[37])/2 + (5*t[38])/9 - (5*t[39])/6 + 
       (17*t[40])/18 - (61*t[41])/72 + (235*t[42])/216 + (109*t[43])/24 + 
       (3*t[44])/2 + (7*t[45])/36 + (11*t[46])/6 - (61*t[47])/9 + 
       (193*t[48])/48 + (7*t[49])/32 + (73*t[50])/48 + (65*t[51])/576 - 
       (431*t[52])/144 - (7*t[53])/32 - (553*t[54])/72 - (5*t[58])/36 - 
       (961*t[59])/216 - (107*t[60])/4 - (337*t[61])/36 + (663*t[62])/16 + 
       (851*t[63])/144 + (409*t[64])/72 + (301*t[65])/54 + (5099*t[66])/108 + 
       t[67]/12 - (8*t[69])/3 + t[70] - t[71] - (5*t[72])/3 + (5*t[73])/3 + 
       (7*t[74])/2 - (19*t[75])/6 - (35*t[76])/36 - t[77]/36 - t[78]/9 - 
       (9*t[79])/2 - (463*t[80])/18 - (17*t[81])/3 + (53*t[82])/18 + 
       6*t[83] - (33*t[84])/8 - (85*t[85])/9 - (511*t[86])/9 + 
       (511*t[87])/18 + (511*t[88])/36 + (797*t[89])/72 - (5*t[97])/36 - 
       (20*t[98])/3 + (19*t[99])/3 + (57*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((-5*t[1])/3 + (22*t[2])/3 + (193*t[3])/24 - (789*t[4])/32 + 
       (77*t[5])/192 - (499*t[6])/48 - (445*t[7])/48 - (443*t[8])/8 + 
       (797*t[9])/192 - (325*t[10])/192 - (3967*t[11])/96 - (353*t[12])/96 - 
       (16423*t[13])/864 - (24269*t[14])/1152 - (8701*t[15])/3456 - t[17] + 
       t[19]/2 - (9*t[20])/2 - (3*t[21])/2 + 7*t[22] + (3*t[23])/2 - 
       (5*t[24])/2 + (5*t[27])/6 - t[28]/2 - (67*t[29])/24 + t[30]/2 - 
       (13*t[31])/6 - (59*t[32])/12 + (2*t[33])/3 + t[34]/6 + 2*t[35] - 
       (5*t[36])/2 - (3*t[37])/2 + (5*t[38])/12 - (13*t[39])/3 + 
       (25*t[40])/8 - (7*t[41])/3 + (7*t[42])/3 - (95*t[43])/96 + 
       (49*t[44])/48 - (11*t[45])/8 + t[46]/2 + (61*t[47])/12 - 
       (155*t[48])/16 - (2047*t[49])/192 + (265*t[50])/48 + 
       (1883*t[51])/384 - (377*t[52])/48 + (405*t[53])/64 + (227*t[54])/32 + 
       t[55]/4 + (3*t[56])/4 + (3*t[57])/2 - (17*t[59])/24 - (781*t[60])/32 - 
       (3391*t[61])/32 + (9577*t[62])/192 - (5465*t[63])/192 - 
       (7597*t[64])/192 + (1331*t[65])/288 + (22045*t[66])/288 + 
       (5*t[68])/2 - t[70] + t[71] - (8*t[72])/3 - 3*t[73] + 7*t[74] - 
       (38*t[76])/3 + t[77]/3 + (169*t[78])/12 + 16*t[79] - (121*t[80])/12 - 
       (83*t[81])/12 + (17*t[82])/2 + (509*t[84])/96 + (1033*t[85])/96 + 
       (691*t[86])/24 + (1507*t[87])/96 + (1027*t[88])/192 - 
       (1673*t[89])/192 + t[91]/24 - t[93]/2 - t[95] - (11*t[96])/2 - 
       (67*t[97])/12 - 40*t[98] + 35*t[99] + (57*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      ((-73*t[1])/24 + (185*t[2])/24 + (409*t[3])/32 + (1237*t[4])/48 - 
       (515*t[5])/64 + (135*t[6])/64 + (65*t[7])/32 - (727*t[8])/96 - 
       (809*t[9])/192 - (2167*t[10])/96 - (139*t[11])/64 - (1675*t[12])/192 - 
       (34661*t[13])/1728 - (7933*t[14])/192 - (10501*t[15])/1152 - 
       (3*t[16])/4 - 2*t[25] + (3*t[26])/4 - (4*t[27])/3 - (5*t[28])/6 + 
       (7*t[29])/12 + (5*t[30])/12 - (14*t[31])/3 - t[32]/2 + t[33]/2 + 
       (17*t[34])/12 - 14*t[35] - 7*t[36] + 2*t[37] - (31*t[38])/12 - 
       (7*t[39])/2 - (29*t[40])/8 - (17*t[41])/24 + (17*t[42])/24 - 
       (157*t[43])/48 - (35*t[44])/24 - (23*t[45])/16 - (3*t[46])/4 + 
       (19*t[47])/8 + (673*t[48])/192 + (45*t[49])/8 + (3805*t[50])/192 - 
       (167*t[51])/64 - (2477*t[52])/192 - (203*t[53])/24 - 
       (3469*t[54])/192 + (3*t[58])/4 - (17*t[59])/24 - (781*t[60])/32 - 
       (3391*t[61])/32 + (9577*t[62])/192 - (5465*t[63])/192 - 
       (7597*t[64])/192 + (1331*t[65])/288 + (22045*t[66])/288 + 
       (5*t[68])/2 - t[70] + t[71] - (8*t[72])/3 - 3*t[73] + 7*t[74] - 
       (38*t[76])/3 + t[77]/3 + (169*t[78])/12 + 16*t[79] - (121*t[80])/12 - 
       (83*t[81])/12 + (17*t[82])/2 + (509*t[84])/96 + (1033*t[85])/96 + 
       (691*t[86])/24 + (1507*t[87])/96 + (1027*t[88])/192 - 
       (1673*t[89])/192 + t[91]/24 - t[93]/2 - t[95] - (11*t[96])/2 - 
       (67*t[97])/12 - 40*t[98] + 35*t[99] + (57*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-3*t[1])/2 + (57*t[2])/4 - (83*t[3])/4 - (99*t[4])/8 - (5*t[5])/16 - 
       (41*t[6])/2 + (447*t[7])/8 - (755*t[8])/8 + (601*t[9])/16 - 
       (17*t[10])/16 + (9*t[11])/2 + (41*t[12])/8 - (775*t[13])/48 + 
       (471*t[14])/32 + (1499*t[15])/288 - 3*t[20] + 7*t[28] - (11*t[29])/2 + 
       (9*t[30])/2 + (3*t[32])/2 + (3*t[33])/2 + 8*t[34] - (15*t[35])/2 + 
       (3*t[36])/2 - (3*t[43])/4 + (53*t[44])/4 - (293*t[48])/8 - 
       (33*t[49])/16 + (189*t[50])/8 + (33*t[51])/32 - (189*t[52])/8 + 
       (33*t[53])/16 - 13*t[54] - 4*t[59] + (45*t[60])/4 + (11*t[61])/4 - 
       (327*t[62])/16 + (419*t[63])/16 - (423*t[64])/8 - (161*t[65])/4 - 
       (67*t[66])/4 - 5*t[69] + (3*t[74])/2 + 4*t[75] - 3*t[76] - 
       (9*t[77])/2 - (3*t[78])/2 - 2*t[79] - 3*t[80] - (33*t[81])/4 + 
       (33*t[82])/4 - 23*t[83] + (41*t[84])/8 + (7*t[85])/4 - 4*t[86] + 
       (27*t[87])/2 + (27*t[88])/4 - (127*t[89])/4 - 36*t[98] + 42*t[99] + 
       (57*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*(8*t[1] - 3*t[2] + (97*t[3])/24 + 
       (17*t[4])/2 + (419*t[5])/48 - (14*t[6])/3 - (71*t[7])/24 - 
       (281*t[8])/24 - (167*t[9])/16 - (61*t[10])/6 + (401*t[11])/24 - 
       (1355*t[12])/48 - (1015*t[13])/144 + (1271*t[14])/72 - 
       (3125*t[15])/288 - 3*t[20] - 3*t[21] + 3*t[23] - 8*t[26] - 
       (23*t[28])/6 + (4*t[29])/3 - (4*t[30])/3 + t[31]/2 + (17*t[35])/2 - 
       (7*t[36])/2 + 8*t[38] - (9*t[39])/2 + (9*t[40])/2 - (3*t[41])/2 + 
       (3*t[42])/2 - (10*t[44])/3 + (3*t[45])/2 - (3*t[46])/4 - 3*t[47] - 
       (3*t[48])/4 - (11*t[49])/8 + (37*t[50])/6 - (101*t[51])/16 - 
       (55*t[52])/6 - (13*t[53])/8 - (44*t[54])/3 - 4*t[59] + 
       (167*t[60])/12 + (13*t[61])/12 - (1037*t[62])/48 + (267*t[63])/16 - 
       (1225*t[64])/24 - (1373*t[65])/36 - (79*t[66])/4 - 3*t[69] + 2*t[72] + 
       2*t[73] + (3*t[74])/2 + 6*t[75] - 3*t[76] - (9*t[77])/2 - 
       (3*t[78])/2 - 4*t[79] - 3*t[80] - (33*t[81])/4 + (33*t[82])/4 - 
       (62*t[83])/3 + (139*t[84])/24 + (29*t[85])/12 + (2*t[86])/3 + 
       (19*t[87])/2 + (19*t[88])/4 - (379*t[89])/12 - 36*t[98] + 42*t[99] + 
       (59*t[100])/2) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
      ((-11*t[1])/8 + (213*t[2])/16 - (539*t[3])/32 - (1019*t[4])/32 + 
       (209*t[5])/64 + (79*t[6])/32 + (211*t[7])/8 - (243*t[8])/16 + 
       (1717*t[9])/64 - (841*t[10])/64 - (139*t[11])/16 + (393*t[12])/32 - 
       (191*t[13])/9 + (653*t[14])/128 + (2189*t[15])/1152 - (7*t[17])/8 - 
       t[19]/2 - (5*t[20])/2 + t[21]/2 + (15*t[22])/2 - t[23]/2 - 
       (5*t[24])/4 - (3*t[27])/4 + (5*t[28])/2 + (29*t[29])/8 + 
       (13*t[30])/2 + t[31]/2 - (13*t[32])/8 - t[33]/2 + (11*t[34])/2 - 
       (13*t[35])/2 + 4*t[36] - t[37] - (7*t[38])/8 - (17*t[39])/8 - 
       (7*t[40])/8 - (3*t[41])/2 + (3*t[42])/2 + (35*t[43])/32 + 
       (57*t[44])/8 - (59*t[45])/8 - (11*t[46])/8 + (33*t[47])/4 - 
       (169*t[48])/32 - (579*t[49])/64 + (267*t[50])/32 + (563*t[51])/128 - 
       (203*t[52])/32 + (419*t[53])/64 + (35*t[54])/16 - (3*t[55])/8 + 
       (3*t[56])/4 + (3*t[57])/2 - (41*t[59])/16 + (449*t[60])/32 - 
       (845*t[61])/32 - (13*t[62])/64 - (59*t[63])/64 + (1807*t[64])/64 - 
       (295*t[65])/96 + (1277*t[66])/32 + (13*t[68])/4 + t[70]/2 - t[71]/2 - 
       (11*t[72])/2 + 10*t[73] + (11*t[74])/4 - 11*t[75] - (31*t[76])/4 - 
       (9*t[77])/2 + (85*t[78])/8 + 5*t[79] + 12*t[80] - (25*t[81])/8 + 
       t[82] - (25*t[83])/2 + (295*t[84])/32 + (479*t[85])/32 + 
       (409*t[86])/8 + (97*t[87])/32 + (225*t[88])/64 - (1507*t[89])/64 + 
       t[91]/24 - t[93]/2 - t[95]/2 - (17*t[96])/4 - (19*t[97])/8 + 6*t[98] - 
       20*t[99] + (119*t[100])/4) + HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - w]*(-t[1]/16 + (19*t[2])/8 + (485*t[3])/32 + 
       (73*t[4])/16 - (563*t[5])/64 - (205*t[6])/64 + (41*t[7])/32 - 
       (541*t[8])/32 - (183*t[9])/64 - (931*t[10])/16 + (1385*t[11])/64 - 
       (231*t[12])/64 - (5155*t[13])/576 - (1831*t[14])/64 - 
       (1941*t[15])/128 + t[16]/8 - (5*t[25])/2 - (25*t[26])/8 - 
       (23*t[27])/4 - 5*t[28] + (7*t[29])/4 - (5*t[30])/4 - 3*t[31] - 
       t[32]/2 + t[33]/2 + (11*t[34])/8 + 5*t[35] - (5*t[36])/2 - 
       (11*t[37])/4 + (13*t[38])/8 - 10*t[39] + (47*t[40])/8 - 
       (11*t[41])/16 + (11*t[42])/16 - (15*t[43])/16 + (27*t[44])/8 - 
       (71*t[45])/16 - (17*t[46])/8 + (67*t[47])/8 - (421*t[48])/64 + 
       (39*t[49])/32 + (447*t[50])/64 + (11*t[51])/64 - (407*t[52])/64 - 
       (219*t[53])/32 - (519*t[54])/64 - t[58]/8 - (41*t[59])/16 + 
       (449*t[60])/32 - (845*t[61])/32 - (13*t[62])/64 - (59*t[63])/64 + 
       (1807*t[64])/64 - (295*t[65])/96 + (1277*t[66])/32 + (13*t[68])/4 + 
       t[70]/2 - t[71]/2 - (11*t[72])/2 + 10*t[73] + (11*t[74])/4 - 
       11*t[75] - (31*t[76])/4 - (9*t[77])/2 + (85*t[78])/8 + 5*t[79] + 
       12*t[80] - (25*t[81])/8 + t[82] - (25*t[83])/2 + (295*t[84])/32 + 
       (479*t[85])/32 + (409*t[86])/8 + (97*t[87])/32 + (225*t[88])/64 - 
       (1507*t[89])/64 + t[91]/24 - t[93]/2 - t[95]/2 - (17*t[96])/4 - 
       (19*t[97])/8 + 6*t[98] - 20*t[99] + (119*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*(-24*t[1] + 24*t[4] - 
       (65*t[5])/2 - 3*t[7] - 3*t[8] + (65*t[9])/2 - 34*t[10] + 261*t[11] + 
       (283*t[12])/2 + (206*t[13])/3 - (59*t[14])/3 + (307*t[15])/12 - 
       2*t[16] + 32*t[26] - 100*t[36] - 16*t[37] - 24*t[38] + 152*t[46] - 
       93*t[49] - (165*t[51])/2 + 93*t[53] + 2*t[59] + 20*t[60] - 46*t[61] - 
       5*t[62] - 478*t[63] + 122*t[64] - 54*t[65] - (802*t[66])/3 - 4*t[67] - 
       4*t[69] + 20*t[70] - 20*t[71] + 160*t[73] + 88*t[74] - 180*t[75] - 
       12*t[79] - 172*t[83] - 12*t[86] - 8*t[87] - 4*t[88] + 27*t[89] + 
       30*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*
      (16*t[2] + 145*t[3] + (329*t[5])/2 + 94*t[6] - 189*t[7] - 183*t[8] - 
       (261*t[9])/2 + t[10] - 28*t[11] - (69*t[12])/2 + (125*t[13])/2 - 
       (427*t[14])/6 - (243*t[15])/4 + 12*t[20] + 120*t[28] - 108*t[32] + 
       120*t[33] + 12*t[34] - 12*t[35] + 93*t[48] - 93*t[50] + 93*t[52] + 
       93*t[54] + 2*t[59] + 20*t[60] - 46*t[61] - 5*t[62] - 478*t[63] + 
       122*t[64] - 54*t[65] - (802*t[66])/3 - 4*t[67] - 4*t[69] + 20*t[70] - 
       20*t[71] + 160*t[73] + 88*t[74] - 180*t[75] - 12*t[79] - 172*t[83] - 
       12*t[86] - 8*t[87] - 4*t[88] + 27*t[89] + 30*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-5*t[1])/2 + (5*t[2])/2 - 3*t[3] - (21*t[4])/4 - (27*t[5])/8 + 
       (95*t[6])/16 + t[7]/4 + (173*t[8])/4 - (453*t[9])/8 - (117*t[10])/8 - 
       (169*t[11])/16 + (45*t[12])/8 + (167*t[13])/24 - (429*t[14])/8 + 
       (269*t[15])/48 - 2*t[19] + 5*t[26] - (57*t[28])/2 - t[34] + 6*t[35] + 
       (17*t[36])/2 + 3*t[37] - 4*t[38] - (9*t[39])/2 + (5*t[40])/2 + 
       t[41]/2 - t[42]/2 + 12*t[44] + 3*t[45] - (15*t[46])/4 - 6*t[47] + 
       (119*t[48])/16 - (75*t[49])/8 + (103*t[50])/16 + (29*t[51])/8 - 
       (23*t[52])/16 + (51*t[53])/8 - (219*t[54])/16 + t[58] + (3*t[59])/2 - 
       (343*t[60])/8 - (153*t[61])/8 + (91*t[62])/16 - (503*t[63])/16 + 
       (1281*t[64])/16 + (23*t[65])/3 + (427*t[66])/6 - 6*t[69] - 6*t[73] - 
       (5*t[74])/2 - (39*t[75])/2 - (17*t[76])/2 - (9*t[77])/2 - 
       (7*t[78])/2 + 9*t[79] - 12*t[80] - (61*t[81])/4 + (21*t[82])/4 + 
       26*t[83] + (35*t[84])/4 + (27*t[85])/8 + 22*t[86] + (573*t[87])/8 + 
       (629*t[88])/16 + (459*t[89])/16 - 4*t[95] - t[97] - 78*t[98] + 
       66*t[99] + 30*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-7*t[1])/24 - (31*t[2])/24 + (563*t[3])/24 + 
       (247*t[4])/64 - (209*t[5])/48 - (1627*t[6])/96 + (23*t[7])/6 - 
       (565*t[8])/12 - (635*t[9])/48 - (1939*t[10])/128 + (157*t[11])/32 - 
       (1997*t[12])/384 + (14209*t[13])/1728 - (56159*t[14])/2304 - 
       (43595*t[15])/3456 + (29*t[20])/6 - (9*t[22])/2 + (19*t[24])/6 - 
       (5*t[26])/4 + t[27]/2 + 7*t[28] + t[29]/4 + (7*t[30])/4 - 2*t[31] - 
       t[32]/2 + (41*t[33])/6 + (11*t[34])/12 - (7*t[35])/3 - (19*t[36])/12 - 
       (5*t[37])/6 + (7*t[38])/12 - (19*t[39])/12 + (5*t[40])/6 - 
       (11*t[41])/24 + (11*t[42])/24 - (7*t[43])/8 + 6*t[44] - (13*t[45])/4 + 
       (11*t[46])/8 + (13*t[47])/2 - (521*t[48])/96 - (57*t[49])/128 + 
       (751*t[50])/96 + (1447*t[51])/768 - (301*t[52])/32 - (71*t[53])/128 - 
       (2591*t[54])/192 - (5*t[58])/12 - (15*t[59])/8 + (819*t[60])/64 - 
       (9971*t[61])/192 - (2777*t[62])/128 - (3383*t[63])/128 + 
       (2879*t[64])/128 - (5731*t[65])/576 - (5161*t[66])/576 + (5*t[69])/2 - 
       t[72] + (41*t[73])/12 - (13*t[74])/3 + (5*t[75])/4 - (17*t[76])/12 + 
       t[77]/3 + (15*t[78])/2 - (47*t[79])/6 + (23*t[80])/6 + (49*t[81])/12 - 
       (73*t[82])/24 + (5*t[83])/6 - (527*t[84])/192 + (1813*t[85])/192 + 
       (169*t[86])/6 - (1511*t[87])/192 - (359*t[88])/384 - 
       (1477*t[89])/384 - (3*t[96])/2 - (7*t[97])/12 + 13*t[98] - 13*t[99] + 
       (121*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((9*t[2])/4 - (29*t[3])/6 - (35*t[4])/4 - 
       (983*t[5])/48 - (67*t[6])/3 + (169*t[7])/24 - (137*t[8])/8 - 
       (1369*t[9])/48 + (101*t[10])/12 - (59*t[11])/24 - (367*t[12])/48 - 
       (907*t[13])/72 - (1271*t[14])/72 + (5795*t[15])/864 + 4*t[20] - 
       2*t[22] - (29*t[28])/2 - (26*t[29])/3 + (47*t[30])/3 - (25*t[31])/3 + 
       6*t[32] - 3*t[33] - (20*t[35])/3 - 2*t[36] + (23*t[44])/2 + 2*t[46] - 
       (145*t[48])/12 + (19*t[49])/8 + (163*t[50])/12 + (31*t[51])/16 - 
       (163*t[52])/12 - (19*t[53])/8 - (40*t[54])/3 - 2*t[59] - 
       (134*t[60])/3 - (53*t[61])/2 - (301*t[62])/8 + (247*t[63])/8 + 
       62*t[64] - (229*t[65])/18 + (1097*t[66])/18 + 2*t[69] - (19*t[72])/3 - 
       (131*t[73])/6 - 4*t[74] - (3*t[75])/2 + 2*t[78] - (61*t[79])/6 + 
       4*t[80] + t[81]/2 - (17*t[82])/2 + (323*t[83])/6 - (199*t[84])/12 - 
       (34*t[85])/3 + (263*t[86])/6 + (139*t[87])/3 + (103*t[88])/6 - 
       (47*t[89])/12 + (61*t[100])/2) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((97*t[1])/12 - (3*t[2])/2 + 
       (359*t[3])/24 + (71*t[4])/24 + (187*t[5])/16 - (325*t[6])/16 + 
       (39*t[7])/8 - (209*t[8])/24 - (1459*t[9])/48 - (581*t[10])/12 + 
       (599*t[11])/16 + (129*t[12])/16 + (4243*t[13])/432 - 
       (13265*t[14])/288 - (2347*t[15])/288 + (17*t[16])/12 - (19*t[25])/3 - 
       (5*t[26])/6 - 7*t[28] - 7*t[31] + 7*t[35] + 7*t[36] + (3*t[37])/2 + 
       (28*t[38])/3 - 7*t[39] + (15*t[40])/2 - 7*t[45] - (5*t[46])/2 + 
       14*t[47] - (395*t[48])/48 - (193*t[49])/12 + (433*t[50])/48 + 
       (173*t[51])/32 - (529*t[52])/48 + (43*t[53])/6 - (1459*t[54])/48 - 
       (11*t[59])/3 - (7*t[60])/24 - (2159*t[61])/24 - (233*t[62])/6 - 
       (1139*t[63])/24 + (5729*t[64])/48 + (1597*t[65])/36 + (385*t[66])/6 + 
       (13*t[67])/12 + t[69]/2 - (8*t[70])/3 + (8*t[71])/3 + 3*t[73] - 
       2*t[74] + 27*t[75] - (5*t[76])/6 - (13*t[77])/2 - (7*t[78])/3 + 
       6*t[79] + (46*t[80])/3 - (28*t[81])/3 + 9*t[82] - (51*t[83])/4 + 
       (31*t[84])/6 + (163*t[85])/12 + 102*t[86] + (293*t[87])/12 + 
       (457*t[88])/24 + (44*t[89])/3 - (11*t[95])/3 - (11*t[96])/3 + t[97] - 
       8*t[98] + 2*t[99] + (123*t[100])/4) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*(t[1]/2 + (181*t[2])/24 + (163*t[3])/48 - 
       (101*t[4])/2 - (247*t[5])/24 + (47*t[6])/8 + (137*t[7])/6 + 34*t[8] + 
       (17*t[9])/2 - (25*t[10])/6 - (1315*t[11])/24 + 6*t[12] - 
       (3031*t[13])/72 - (4103*t[14])/144 - (14075*t[15])/864 - 
       (13*t[20])/2 + 4*t[22] + (5*t[23])/3 - 6*t[28] + (23*t[29])/4 - 
       (95*t[30])/6 + (71*t[32])/12 - (35*t[33])/6 + (17*t[34])/3 + 
       17*t[35] + 7*t[36] + t[37] + t[39] - t[40]/3 + (3*t[41])/4 - 
       (3*t[42])/4 + (7*t[43])/2 + (17*t[44])/24 - (5*t[45])/6 + 
       (11*t[47])/6 + (289*t[48])/24 - (121*t[49])/24 - (289*t[50])/24 + 
       (121*t[51])/48 + (257*t[52])/24 + (121*t[53])/24 + (86*t[54])/3 - 
       (11*t[59])/3 - (7*t[60])/24 - (2159*t[61])/24 - (233*t[62])/6 - 
       (1139*t[63])/24 + (5729*t[64])/48 + (1597*t[65])/36 + (385*t[66])/6 + 
       (13*t[67])/12 + t[69]/2 - (8*t[70])/3 + (8*t[71])/3 + 3*t[73] - 
       2*t[74] + 27*t[75] - (5*t[76])/6 - (13*t[77])/2 - (7*t[78])/3 + 
       6*t[79] + (46*t[80])/3 - (28*t[81])/3 + 9*t[82] - (51*t[83])/4 + 
       (31*t[84])/6 + (163*t[85])/12 + 102*t[86] + (293*t[87])/12 + 
       (457*t[88])/24 + (44*t[89])/3 - (11*t[95])/3 - (11*t[96])/3 + t[97] - 
       8*t[98] + 2*t[99] + (123*t[100])/4) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*((-8*t[1])/3 + (41*t[2])/6 + (77*t[3])/8 - 
       (139*t[4])/24 - (151*t[5])/8 - 20*t[6] + 12*t[7] - (347*t[8])/12 + 
       (341*t[9])/24 - (497*t[10])/48 + (21*t[11])/8 + (425*t[12])/48 + 
       (2509*t[13])/432 - (3181*t[14])/96 - (499*t[15])/144 + (11*t[27])/3 - 
       (29*t[28])/6 - (19*t[29])/6 + (14*t[30])/3 - (13*t[31])/6 + 
       (8*t[34])/3 - 5*t[35] - t[36]/2 - (4*t[38])/3 - (7*t[39])/2 - 
       t[40]/2 - (4*t[41])/3 + (4*t[42])/3 - (4*t[43])/3 + (8*t[44])/3 + 
       t[45] + (3*t[46])/2 - 2*t[47] - (451*t[48])/24 - (321*t[49])/16 + 
       (587*t[50])/24 + (269*t[51])/32 - (523*t[52])/24 + (707*t[53])/48 - 
       (41*t[54])/6 - (4*t[59])/3 - (47*t[60])/8 - (685*t[61])/8 + 
       (23*t[62])/6 + (13*t[63])/12 + (881*t[64])/48 + (689*t[65])/72 + 
       (1429*t[66])/72 + (19*t[72])/3 - 6*t[73] + t[74]/2 - 6*t[75] - 
       (50*t[76])/3 - (25*t[77])/6 + (76*t[78])/3 + 10*t[79] - (22*t[80])/3 + 
       t[81]/12 + (33*t[82])/4 + 28*t[83] + (187*t[84])/12 + (265*t[85])/24 + 
       (149*t[86])/3 + (163*t[87])/24 + (163*t[88])/48 - (893*t[89])/48 - 
       8*t[96] - (16*t[97])/3 - 76*t[98] + 76*t[99] + 31*t[100]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*((-8*t[1])/3 + (37*t[2])/12 + 
       (131*t[3])/12 - (187*t[4])/8 + (13*t[5])/6 - (307*t[6])/48 - 
       (277*t[7])/12 - 16*t[8] - (4*t[9])/3 - (199*t[10])/48 - 
       (1949*t[11])/48 - (217*t[12])/48 - (7475*t[13])/432 - 
       (3125*t[14])/288 - (5891*t[15])/432 - (8*t[27])/3 - (3*t[28])/2 - 
       (19*t[29])/6 - 3*t[30] - (19*t[31])/6 - (19*t[32])/6 + (19*t[33])/6 + 
       (8*t[34])/3 + (9*t[35])/2 - (7*t[36])/2 - (4*t[38])/3 - (11*t[39])/6 - 
       t[40] - (4*t[41])/3 + (4*t[42])/3 - (25*t[43])/12 + (10*t[44])/3 - 
       (3*t[46])/4 - (8*t[47])/3 + (25*t[48])/16 + (23*t[49])/48 - 
       (41*t[50])/48 - (61*t[51])/96 + (169*t[52])/48 - (93*t[53])/16 + 
       (89*t[54])/16 - (4*t[59])/3 - (47*t[60])/8 - (685*t[61])/8 + 
       (23*t[62])/6 + (13*t[63])/12 + (881*t[64])/48 + (689*t[65])/72 + 
       (1429*t[66])/72 + (19*t[72])/3 - 6*t[73] + t[74]/2 - 6*t[75] - 
       (50*t[76])/3 - (25*t[77])/6 + (76*t[78])/3 + 10*t[79] - (22*t[80])/3 + 
       t[81]/12 + (33*t[82])/4 + 28*t[83] + (187*t[84])/12 + (265*t[85])/24 + 
       (149*t[86])/3 + (163*t[87])/24 + (163*t[88])/48 - (893*t[89])/48 - 
       8*t[96] - (16*t[97])/3 - 76*t[98] + 76*t[99] + 31*t[100]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*((2*t[1])/9 - (58*t[2])/9 + 
       (2203*t[3])/144 + (119*t[4])/24 + (595*t[5])/144 - (9113*t[6])/576 - 
       (2153*t[7])/144 - (1481*t[8])/48 - (7909*t[9])/288 - 
       (1253*t[10])/144 + (185*t[11])/576 - (1013*t[12])/144 + 
       (7883*t[13])/1296 - (48581*t[14])/1728 - (22321*t[15])/5184 + 
       2*t[19] - 2*t[20] - 2*t[21] + 2*t[23] - (7*t[27])/9 - 2*t[28] - 
       (113*t[29])/18 + (7*t[30])/12 + (8*t[31])/9 - (7*t[32])/9 + 
       (7*t[33])/9 - (65*t[34])/9 + 4*t[35] - (5*t[36])/6 - (11*t[37])/3 + 
       (29*t[38])/18 - (26*t[39])/9 + (65*t[40])/12 - (7*t[41])/18 + 
       (7*t[42])/18 - (7*t[43])/18 + (445*t[44])/72 + 7*t[45] - 
       (5*t[46])/12 - (52*t[47])/9 - (329*t[48])/192 - (659*t[49])/144 + 
       (3605*t[50])/576 + (1069*t[51])/288 - (6613*t[52])/576 + 
       (145*t[53])/48 - (337*t[54])/64 + (5*t[59])/18 - (711*t[60])/32 - 
       (563*t[61])/32 + (5501*t[62])/576 - (6925*t[63])/576 + 
       (1957*t[64])/576 + (10417*t[65])/864 + (8315*t[66])/864 - 
       (5*t[69])/3 - t[72]/9 - (11*t[73])/3 + 3*t[75] - (94*t[76])/9 - 
       (25*t[77])/9 + (77*t[78])/9 + (2*t[79])/3 - (2*t[80])/9 - 
       (169*t[81])/36 + (7*t[82])/6 - (11*t[83])/6 + (1621*t[84])/288 - 
       (1651*t[85])/288 + (40*t[86])/9 + (5489*t[87])/288 + 
       (5489*t[88])/576 - (973*t[89])/576 - (7*t[96])/3 - (23*t[97])/9 - 
       (236*t[98])/3 + (242*t[99])/3 + (187*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-2*t[2])/3 + (137*t[3])/36 - (193*t[4])/6 + (299*t[5])/36 - 
       (8213*t[6])/144 + (1247*t[7])/36 - (1369*t[8])/36 - (1213*t[9])/24 - 
       (668*t[10])/9 + (4513*t[11])/144 - (131*t[12])/36 - (51*t[13])/2 - 
       (30161*t[14])/432 - (433*t[15])/48 - t[17]/3 + 2*t[19] + 2*t[20] - 
       2*t[21] - t[22] + 3*t[23] + (4*t[24])/3 + t[25] - t[26] - t[27] - 
       (139*t[28])/9 + (23*t[29])/18 - (13*t[30])/9 - 6*t[31] + 
       (16*t[32])/3 - (16*t[33])/3 - (29*t[34])/3 + (58*t[35])/3 + 8*t[36] - 
       2*t[37] + (5*t[38])/2 - (27*t[39])/2 + 15*t[40] - (7*t[41])/3 + 
       (11*t[42])/6 + (17*t[43])/3 + (35*t[44])/9 + (11*t[45])/3 - 
       (7*t[46])/6 + t[47] - (185*t[48])/48 - (25*t[49])/6 + 
       (2213*t[50])/144 + (145*t[51])/24 - (4181*t[52])/144 + (7*t[53])/2 - 
       (2081*t[54])/144 - 3*t[59] - (7205*t[60])/72 - (3817*t[61])/72 - 
       (13379*t[62])/144 - (3823*t[63])/48 + (31399*t[64])/144 - 
       (3511*t[65])/216 + (1819*t[66])/72 + (2*t[68])/3 + 2*t[69] + 5*t[72] - 
       6*t[74] - (4*t[75])/3 - (41*t[76])/6 - (47*t[77])/3 - (29*t[78])/3 + 
       2*t[79] + (101*t[80])/3 - (121*t[81])/6 + (35*t[82])/3 + 
       (175*t[83])/9 - (875*t[84])/72 - (359*t[85])/72 + (1634*t[86])/9 + 
       (517*t[87])/8 + (1423*t[88])/48 - (4411*t[89])/144 - 2*t[96] - 
       3*t[97] - 24*t[98] + 40*t[99] + (94*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((3*t[1])/4 + (33*t[2])/8 + (1627*t[3])/288 - (4661*t[4])/288 + 
       (16681*t[5])/576 - (7031*t[6])/576 - (1013*t[7])/32 - 
       (1817*t[8])/288 - (23741*t[9])/576 + (737*t[10])/576 - 
       (22039*t[11])/576 - (20*t[12])/9 - (4415*t[13])/216 - 
       (16361*t[14])/384 + (3403*t[15])/1152 - t[19]/2 + (11*t[20])/36 + 
       t[21]/2 - (3*t[22])/4 - t[23]/2 - t[24]/12 - t[25]/4 + t[26]/4 + 
       t[27]/2 + (59*t[28])/18 + (5*t[29])/8 - (41*t[30])/36 - (19*t[31])/4 - 
       (5*t[32])/2 + (65*t[33])/36 - (41*t[35])/6 - t[36] + (11*t[37])/12 + 
       t[39]/2 + t[40] - (5*t[41])/8 + (5*t[42])/8 + (73*t[43])/48 - 
       (131*t[44])/36 + (17*t[45])/8 + (181*t[46])/48 - (43*t[47])/4 + 
       (3809*t[48])/576 - (1387*t[49])/576 + (257*t[50])/576 - 
       (263*t[51])/1152 - (257*t[52])/576 + (1387*t[53])/576 - 
       (27*t[54])/64 + (29*t[59])/12 - (9067*t[60])/144 - (4355*t[61])/48 + 
       (20563*t[62])/288 - (1891*t[63])/288 + (5561*t[64])/288 + 
       (3011*t[65])/144 + (1569*t[66])/16 - 2*t[68] - (7*t[69])/6 + 
       t[70]/12 - t[71]/12 - t[72] + (19*t[73])/2 + (61*t[74])/12 - 2*t[75] + 
       4*t[76] - t[77]/4 - 8*t[78] + (181*t[79])/12 - 3*t[80] - 
       (27*t[81])/4 + (137*t[82])/12 - (779*t[83])/72 - (29*t[84])/6 - 
       (863*t[85])/72 - (329*t[86])/36 + (1663*t[87])/72 + (1663*t[88])/144 - 
       (2231*t[89])/288 + 20*t[98] - 20*t[99] + (95*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[v, w, u]*((32*t[4])/3 + (4*t[5])/3 - 
       (8*t[7])/3 - (8*t[8])/3 - (4*t[9])/3 - (8*t[10])/3 - (8*t[11])/3 - 
       (20*t[12])/3 + (32*t[13])/9 - (52*t[14])/9 + 2*t[15] - (32*t[36])/3 + 
       (16*t[49])/3 - (16*t[53])/3 + (32*t[60])/3 - 16*t[61] + (56*t[62])/3 - 
       (56*t[63])/3 - (8*t[64])/3 + (80*t[65])/9 + (112*t[66])/9 - 
       (64*t[69])/3 + (32*t[73])/3 + 32*t[75] - (32*t[79])/3 - 
       (256*t[83])/3 - (32*t[86])/3 - (32*t[87])/3 - (16*t[88])/3 + 8*t[89] + 
       32*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[v, u, w]*
      (32*t[4] - (8*t[5])/3 + (16*t[7])/3 + (16*t[8])/3 + (8*t[9])/3 - 
       (32*t[10])/3 + (80*t[11])/3 + (56*t[12])/3 + (224*t[13])/9 - 
       (80*t[14])/3 + (44*t[15])/9 - (64*t[36])/3 + (16*t[49])/3 + 8*t[51] - 
       (16*t[53])/3 - (32*t[54])/3 + 32*t[60] - (128*t[61])/3 + 
       (32*t[62])/3 - (352*t[63])/3 + (320*t[65])/9 - (256*t[66])/9 + 
       (64*t[69])/3 + (64*t[73])/3 + 64*t[75] - (64*t[79])/3 - 
       (160*t[83])/3 + (32*t[84])/3 + (32*t[85])/3 + (64*t[86])/3 - 
       (160*t[87])/3 - (80*t[88])/3 + (32*t[89])/3 + 32*t[100]) + 
     HPL[{0, 1}, 1 - w]*Qep[v, w, u]*((16*t[1])/3 - (56*t[2])/3 + 96*t[3] + 
       (478*t[4])/3 - (40*t[5])/3 - (460*t[6])/3 - 64*t[7] - 208*t[8] - 
       72*t[9] - 25*t[10] + (172*t[11])/3 - 109*t[12] + (3430*t[13])/27 - 
       (1079*t[14])/6 - (205*t[15])/3 - 32*t[26] - (128*t[28])/3 + 
       (32*t[30])/3 + (128*t[31])/3 + (32*t[34])/3 + (64*t[35])/3 + 
       (32*t[36])/3 - (64*t[37])/3 + (64*t[38])/3 - (64*t[39])/3 + 
       (64*t[40])/3 - (16*t[41])/3 + (16*t[42])/3 + (64*t[44])/3 - 
       (308*t[48])/3 + (127*t[49])/3 - 28*t[50] - (11*t[51])/6 - 
       (76*t[52])/3 - (127*t[53])/3 - (218*t[54])/3 - (32*t[58])/3 - 
       16*t[59] + (518*t[60])/3 - (634*t[61])/3 - 27*t[62] + 123*t[63] + 
       69*t[64] - (1018*t[65])/9 - (218*t[66])/3 + (32*t[73])/3 - 
       (160*t[75])/3 + (160*t[76])/3 - (32*t[77])/3 + 64*t[79] + 
       (64*t[80])/3 + (160*t[81])/3 + (16*t[82])/3 + (256*t[83])/3 - 
       (50*t[84])/3 + (454*t[85])/3 + 128*t[86] - (554*t[87])/3 - 
       (277*t[88])/3 - 61*t[89] + (32*t[97])/3 + 448*t[98] - 448*t[99] + 
       32*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*(-t[1]/2 + (53*t[3])/12 + (23*t[4])/12 + 
       (89*t[5])/24 + (85*t[6])/12 + 20*t[7] - (7*t[8])/6 + (443*t[9])/24 - 
       (233*t[10])/24 + 8*t[11] + (67*t[12])/12 + (10*t[13])/9 + 
       (527*t[14])/48 - (47*t[15])/144 - (2*t[20])/3 - 3*t[27] - 
       (17*t[28])/3 + (10*t[29])/3 - (2*t[30])/3 + (7*t[31])/3 + 6*t[32] - 
       (20*t[33])/3 + 8*t[35] + 2*t[36] + 2*t[37] + t[39] - t[40] + 
       (7*t[43])/6 + t[44]/3 - 2*t[45] - (5*t[46])/2 + 4*t[47] + t[48]/12 + 
       (89*t[49])/24 - (23*t[50])/12 + (25*t[51])/48 + (23*t[52])/12 - 
       (89*t[53])/24 - (17*t[54])/6 + (213*t[60])/4 - (89*t[61])/4 + 
       (1277*t[62])/48 + (275*t[63])/48 - (929*t[64])/24 + (233*t[65])/8 + 
       (157*t[66])/36 - 3*t[72] + 7*t[73] - 6*t[74] + 9*t[75] - 5*t[76] + 
       7*t[78] - 5*t[79] + t[80] + (3*t[81])/2 - (25*t[82])/6 - 
       (103*t[83])/6 + (89*t[84])/12 + (61*t[85])/6 - 15*t[86] - 
       (33*t[87])/2 - (33*t[88])/4 + (539*t[89])/24 - 3*t[96] - 2*t[97] - 
       14*t[98] + 11*t[99] + (65*t[100])/2) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*((29*t[1])/12 + (601*t[2])/36 - 
       (41*t[3])/2 + (427*t[4])/24 - (161*t[5])/4 - (1111*t[6])/96 + 
       (719*t[7])/12 + (307*t[8])/4 - (113*t[9])/16 - (1037*t[10])/48 + 
       (1105*t[11])/32 - (409*t[12])/48 - (19*t[13])/6 - (563*t[14])/72 + 
       (24415*t[15])/864 - (3*t[17])/2 + (5*t[20])/3 - t[22] - 8*t[24] - 
       3*t[27] - (35*t[28])/3 + (47*t[29])/4 - (27*t[30])/4 + (13*t[31])/2 + 
       (47*t[32])/6 - (233*t[33])/12 - (34*t[34])/3 + 30*t[35] + 
       (21*t[36])/2 + t[37]/2 + (29*t[38])/6 + (17*t[39])/4 + (11*t[40])/2 - 
       (7*t[41])/4 + (7*t[42])/4 + (13*t[43])/4 - (175*t[44])/12 - 
       (109*t[45])/12 - (3*t[46])/4 + (197*t[47])/12 + (1391*t[48])/96 - 
       (845*t[49])/48 + (589*t[50])/32 + (437*t[51])/32 - (925*t[52])/32 + 
       (829*t[53])/48 - (431*t[54])/96 - (491*t[59])/72 + (539*t[60])/16 + 
       (1153*t[61])/48 - (3635*t[62])/96 - (6133*t[63])/96 - 
       (1253*t[64])/32 + (6829*t[65])/144 - (1259*t[66])/48 + t[68] + 
       6*t[69] - (5*t[70])/2 + (5*t[71])/2 + 17*t[72] - (39*t[73])/2 - 
       (9*t[74])/2 + 58*t[75] - (425*t[76])/12 - (31*t[77])/4 + 54*t[78] - 
       (201*t[79])/4 - (29*t[80])/2 - (119*t[81])/12 - (59*t[82])/12 - 
       (217*t[83])/12 + (437*t[84])/48 - (73*t[85])/16 + (130*t[86])/3 + 
       (263*t[87])/16 + (247*t[88])/32 - (83*t[89])/32 + 3*t[93] - 
       (41*t[97])/12 - 160*t[98] + 169*t[99] + (65*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((41*t[1])/8 + (229*t[2])/24 - (77*t[3])/12 + (955*t[4])/48 - 
       (247*t[5])/8 + (35*t[6])/16 + (121*t[7])/8 + (31*t[8])/8 + 
       (631*t[9])/24 - (195*t[10])/32 - (153*t[11])/16 + (1015*t[12])/96 + 
       (273*t[13])/16 + (14239*t[14])/576 - (583*t[15])/288 + t[16] - 
       (2*t[19])/3 - (5*t[25])/3 - (47*t[26])/12 - (3*t[27])/2 + 14*t[31] + 
       t[32] - t[33] - (17*t[34])/12 + 15*t[35] + 11*t[36] + 9*t[37] + 
       7*t[38] - 2*t[39] + (7*t[40])/6 + (17*t[41])/24 - (17*t[42])/24 - 
       (7*t[43])/4 + 4*t[44] - (9*t[45])/4 - 13*t[46] + (11*t[47])/2 - 
       (65*t[48])/48 - (249*t[49])/32 + (415*t[50])/48 + (2153*t[51])/192 - 
       (25*t[52])/16 - (15*t[53])/32 + (55*t[54])/8 + (17*t[58])/12 - 
       (491*t[59])/72 + (539*t[60])/16 + (1153*t[61])/48 - (3635*t[62])/96 - 
       (6133*t[63])/96 - (1253*t[64])/32 + (6829*t[65])/144 - 
       (1259*t[66])/48 + t[68] + 6*t[69] - (5*t[70])/2 + (5*t[71])/2 + 
       17*t[72] - (39*t[73])/2 - (9*t[74])/2 + 58*t[75] - (425*t[76])/12 - 
       (31*t[77])/4 + 54*t[78] - (201*t[79])/4 - (29*t[80])/2 - 
       (119*t[81])/12 - (59*t[82])/12 - (217*t[83])/12 + (437*t[84])/48 - 
       (73*t[85])/16 + (130*t[86])/3 + (263*t[87])/16 + (247*t[88])/32 - 
       (83*t[89])/32 + 3*t[93] - (41*t[97])/12 - 160*t[98] + 169*t[99] + 
       (65*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-2*t[1])/3 - t[2]/6 - (151*t[3])/12 + 
       (2*t[4])/9 - (1283*t[5])/72 + (139*t[6])/24 - (641*t[7])/18 - 
       (43*t[8])/9 + (695*t[9])/72 + (227*t[10])/36 - (247*t[11])/8 - 
       (193*t[12])/24 - (173*t[13])/54 + (2329*t[14])/216 - (979*t[15])/144 - 
       (2*t[27])/3 + 2*t[28] - (19*t[29])/6 - 2*t[30] + (4*t[31])/3 - 
       (14*t[32])/3 + (14*t[33])/3 + (2*t[34])/3 + t[36] - 2*t[37] - 
       t[38]/3 - (5*t[39])/6 - t[41]/3 + t[42]/3 - (67*t[43])/12 - 
       (14*t[44])/3 - (13*t[45])/2 + t[46] + (37*t[47])/3 + (39*t[48])/8 + 
       (65*t[49])/36 - (151*t[50])/24 - (23*t[51])/8 + (167*t[52])/24 - 
       (113*t[53])/36 + (1181*t[54])/72 - (4*t[59])/3 - (973*t[60])/36 - 
       (305*t[61])/36 + (3719*t[62])/72 + (691*t[63])/24 - (1351*t[64])/72 - 
       (1469*t[65])/108 + (739*t[66])/36 - (25*t[69])/3 - (2*t[72])/3 - 
       25*t[73] + 4*t[74] + (5*t[75])/3 - (14*t[76])/3 + (4*t[77])/3 + 
       (34*t[78])/3 + 9*t[79] - (16*t[80])/3 + (16*t[81])/3 - 4*t[82] + 
       (743*t[83])/18 - (61*t[84])/36 + (131*t[85])/36 - (409*t[86])/9 + 
       (61*t[87])/4 + (61*t[88])/8 + (439*t[89])/72 - 2*t[96] - (4*t[97])/3 - 
       28*t[98] + 20*t[99] + (197*t[100])/6) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*(t[1] - (37*t[2])/4 - 7*t[3] + 
       (9*t[4])/8 - (55*t[5])/4 + (65*t[6])/8 - (133*t[7])/4 + (151*t[8])/2 - 
       11*t[9] + (139*t[10])/16 - (167*t[11])/4 - (81*t[12])/16 - 
       (61*t[13])/3 - (329*t[14])/32 - (1271*t[15])/144 - 3*t[28] - 
       (33*t[29])/4 - 9*t[30] + 6*t[31] + 4*t[32] - 3*t[33] - 4*t[34] + 
       15*t[35] + (3*t[36])/2 + 2*t[38] - t[39]/2 + (9*t[40])/2 - 
       (3*t[43])/2 - 29*t[44] + 7*t[45] - 5*t[47] + (85*t[48])/8 - 
       (71*t[49])/16 - (139*t[50])/8 + (103*t[51])/32 + (99*t[52])/8 + 
       (71*t[53])/16 + (101*t[54])/4 + (3*t[59])/2 - (279*t[60])/8 - 
       (193*t[61])/8 + (35*t[62])/16 - (959*t[63])/16 + (1369*t[64])/16 + 
       14*t[65] + (373*t[66])/6 + 6*t[72] - (5*t[74])/2 - (27*t[75])/2 - 
       (17*t[76])/2 - (9*t[77])/2 - (7*t[78])/2 + 3*t[79] - 12*t[80] - 
       (61*t[81])/4 + (21*t[82])/4 + 33*t[83] + (43*t[84])/4 + (43*t[85])/8 + 
       36*t[86] + (477*t[87])/8 + (533*t[88])/16 + (467*t[89])/16 - 4*t[95] - 
       t[97] - 78*t[98] + 66*t[99] + 33*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (4*t[1] - (3*t[3])/4 - (173*t[4])/9 - (2081*t[5])/144 - 8*t[6] - 
       (511*t[7])/72 + (29*t[8])/72 - (835*t[9])/144 + (917*t[10])/72 - 
       (709*t[11])/24 - (749*t[12])/48 - (5693*t[13])/216 - 
       (5057*t[14])/432 - (4201*t[15])/864 + 2*t[16] - 10*t[25] + 6*t[26] - 
       t[27] + 2*t[29] + 2*t[35] - t[36]/2 + 4*t[38] - (13*t[44])/2 - 
       2*t[45] + t[46]/2 + 4*t[47] - (13*t[48])/2 - (41*t[49])/36 + 5*t[50] + 
       (101*t[51])/24 - 5*t[52] + (77*t[53])/36 + (31*t[54])/18 - 2*t[59] - 
       (326*t[60])/9 - (286*t[61])/9 - (2975*t[62])/72 + (19*t[63])/24 + 
       (2441*t[64])/36 - (163*t[65])/27 + (463*t[66])/9 + (25*t[69])/3 - 
       (31*t[73])/2 - 4*t[74] + (29*t[75])/6 + 2*t[78] - (33*t[79])/2 + 
       4*t[80] + t[81]/2 - (17*t[82])/2 + (551*t[83])/9 - (521*t[84])/36 - 
       (83*t[85])/9 + (1055*t[86])/18 + (101*t[87])/3 + (65*t[88])/6 - 
       (61*t[89])/18 + (101*t[100])/3) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w]*((-4*t[1])/3 + (179*t[2])/12 + (25*t[3])/2 - 
       (61*t[4])/48 - 8*t[5] - 19*t[6] + 14*t[7] - (125*t[8])/6 + 
       (143*t[9])/12 - (527*t[10])/96 + (9*t[11])/4 + (605*t[12])/96 + 
       (83*t[13])/432 - (2555*t[14])/192 - (125*t[15])/96 - 2*t[19] + 
       3*t[20] + 2*t[21] - 3*t[22] - 2*t[23] + (10*t[27])/3 - (8*t[28])/3 - 
       (13*t[29])/3 + (13*t[30])/3 - (4*t[31])/3 + (4*t[34])/3 - 9*t[35] + 
       t[37] - (2*t[38])/3 - 2*t[39] - (7*t[41])/6 + (7*t[42])/6 - 
       (2*t[43])/3 + (4*t[44])/3 + (3*t[46])/2 - t[47] - (199*t[48])/12 - 
       (375*t[49])/32 + (209*t[50])/12 + (251*t[51])/64 - (193*t[52])/12 + 
       (869*t[53])/96 - (467*t[54])/48 - (8*t[59])/3 + (77*t[60])/16 - 
       (1115*t[61])/16 - (89*t[62])/96 + (25*t[63])/96 - (2173*t[64])/96 - 
       (2545*t[65])/144 + (1909*t[66])/144 + t[69] + (8*t[72])/3 - 9*t[73] - 
       2*t[75] - (31*t[76])/3 - (13*t[77])/3 + (50*t[78])/3 + 7*t[79] + 
       (7*t[80])/3 - (16*t[81])/3 + (21*t[82])/2 + (45*t[83])/2 + 
       (239*t[84])/48 + (355*t[85])/48 + (109*t[86])/3 - (149*t[87])/48 - 
       (149*t[88])/96 - (2339*t[89])/96 - 4*t[96] - (8*t[97])/3 - 50*t[98] + 
       52*t[99] + (69*t[100])/2) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*
      ((2*t[1])/3 + (5*t[2])/12 + (65*t[3])/6 - (13*t[4])/2 + (209*t[5])/24 - 
       (1435*t[6])/96 - (331*t[7])/24 - (215*t[8])/8 - (227*t[9])/48 + 
       (11*t[10])/6 - (2765*t[11])/96 - (155*t[12])/12 - (2501*t[13])/216 - 
       (3193*t[14])/288 - (10877*t[15])/864 - (5*t[25])/2 + t[26]/2 - 
       (4*t[27])/3 - 3*t[28] - (37*t[29])/12 - (5*t[30])/2 - (4*t[31])/3 - 
       (4*t[32])/3 + (4*t[33])/3 + (4*t[34])/3 + 6*t[35] - 2*t[36] - 
       2*t[37] + (4*t[38])/3 - (17*t[39])/12 - t[40]/2 - (2*t[41])/3 + 
       (2*t[42])/3 - (5*t[43])/3 + (77*t[44])/12 - 2*t[46] - (4*t[47])/3 - 
       (83*t[48])/32 + (23*t[49])/6 + (319*t[50])/96 - (13*t[51])/12 - 
       (191*t[52])/96 - (13*t[53])/2 - (113*t[54])/32 - (8*t[59])/3 + 
       (77*t[60])/16 - (1115*t[61])/16 - (89*t[62])/96 + (25*t[63])/96 - 
       (2173*t[64])/96 - (2545*t[65])/144 + (1909*t[66])/144 + t[69] + 
       (8*t[72])/3 - 9*t[73] - 2*t[75] - (31*t[76])/3 - (13*t[77])/3 + 
       (50*t[78])/3 + 7*t[79] + (7*t[80])/3 - (16*t[81])/3 + (21*t[82])/2 + 
       (45*t[83])/2 + (239*t[84])/48 + (355*t[85])/48 + (109*t[86])/3 - 
       (149*t[87])/48 - (149*t[88])/96 - (2339*t[89])/96 - 4*t[96] - 
       (8*t[97])/3 - 50*t[98] + 52*t[99] + (69*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((13*t[2])/4 + (253*t[3])/36 - (85*t[4])/8 - (157*t[5])/18 - 
       (73*t[6])/36 + (1139*t[7])/72 + (947*t[8])/72 - (31*t[9])/24 - 
       (2941*t[10])/144 - (1121*t[11])/72 + (161*t[12])/144 - 
       (10043*t[13])/432 - (26639*t[14])/864 - (3991*t[15])/216 - 
       (2*t[25])/3 + (5*t[26])/3 - (41*t[28])/9 + (13*t[29])/18 + 
       (5*t[30])/18 + t[31]/2 + t[32] - t[33] - t[34] + (29*t[35])/3 + 
       3*t[36] - 5*t[37] - 2*t[39] + t[41]/2 - t[42]/2 - (19*t[43])/24 + 
       (5*t[44])/18 - 7*t[45] - (8*t[46])/3 + 16*t[47] - (85*t[48])/24 + 
       (397*t[49])/48 + (677*t[50])/72 - (587*t[51])/96 - (317*t[52])/72 - 
       (349*t[53])/48 - (106*t[54])/9 + t[58] - 2*t[59] - (3895*t[60])/72 - 
       (184*t[61])/9 - (2317*t[62])/36 + (4*t[63])/3 + (8113*t[64])/72 - 
       (1231*t[65])/108 + (559*t[66])/24 - t[68]/2 + t[69] + t[70] - t[71] - 
       (55*t[72])/6 + 10*t[73] - (9*t[74])/2 - (49*t[75])/6 - 3*t[76] - 
       6*t[77] - 17*t[78] + (5*t[79])/2 + (19*t[80])/2 - (21*t[81])/2 + 
       (26*t[82])/3 + (185*t[83])/9 - (649*t[84])/72 + (665*t[85])/72 + 
       (763*t[86])/9 + (715*t[87])/24 + (715*t[88])/48 + (79*t[89])/144 - 
       t[93] + t[97] + 16*t[98] - 13*t[99] + (104*t[100])/3) + 
     HPL[{0, 1, 1}, 1 - v]*Omega2[v, w, u]*((9*t[3])/4 - (23*t[4])/2 - 
       (41*t[5])/8 - (107*t[6])/8 - (5*t[7])/4 - (95*t[8])/4 - (57*t[9])/8 + 
       (43*t[10])/4 - (77*t[11])/8 - (35*t[12])/8 - (55*t[13])/8 - 
       (73*t[14])/6 - (121*t[15])/48 + t[25] - t[26] + t[27] - t[29] - 
       2*t[36] + t[46] - (63*t[48])/8 + (7*t[49])/2 + (45*t[50])/8 - 
       t[51]/4 - (45*t[52])/8 - (7*t[53])/2 - (33*t[54])/8 - (93*t[60])/4 - 
       (181*t[61])/4 - (171*t[62])/8 - (49*t[63])/8 + (635*t[64])/8 + 
       (11*t[65])/12 + (67*t[66])/4 - 2*t[69] - 2*t[72] + 2*t[75] - 4*t[79] - 
       2*t[80] + 3*t[81] - 5*t[82] + 9*t[83] - (33*t[84])/4 - (21*t[85])/4 + 
       16*t[86] + (67*t[87])/4 + (67*t[88])/8 + (41*t[89])/8 - 4*t[99] + 
       (71*t[100])/2) + HPL[{0, 1, 1}, 1 - w]*Omega2[v, w, u]*
      ((-27*t[2])/2 - (9*t[3])/2 - (31*t[4])/4 - (65*t[5])/8 - (61*t[6])/4 - 
       (59*t[7])/4 - (75*t[8])/4 - (43*t[9])/8 + (207*t[10])/8 - 
       (79*t[11])/4 - (31*t[12])/4 - (739*t[13])/72 - (261*t[14])/16 - 
       (141*t[15])/16 - 2*t[20] + 2*t[22] + 4*t[28] + 2*t[29] + 3*t[30] - 
       2*t[31] - 4*t[35] - 2*t[36] + 2*t[37] + t[41] - t[42] - t[43] - 
       4*t[44] + t[46] + 2*t[47] + (19*t[49])/8 + (7*t[50])/2 - 
       (7*t[51])/16 - (7*t[52])/2 - (19*t[53])/8 - (9*t[54])/4 - 
       (93*t[60])/4 - (181*t[61])/4 - (171*t[62])/8 - (49*t[63])/8 + 
       (635*t[64])/8 + (11*t[65])/12 + (67*t[66])/4 - 2*t[69] - 2*t[72] + 
       2*t[75] - 4*t[79] - 2*t[80] + 3*t[81] - 5*t[82] + 9*t[83] - 
       (33*t[84])/4 - (21*t[85])/4 + 16*t[86] + (67*t[87])/4 + (67*t[88])/8 + 
       (41*t[89])/8 - 4*t[99] + (71*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-3*t[1])/2 + (21*t[2])/4 - (521*t[3])/24 - (99*t[4])/2 - 
       (335*t[5])/24 - (295*t[6])/24 + (183*t[7])/2 + (37*t[8])/2 + 
       (493*t[9])/8 - (283*t[10])/12 - (697*t[11])/24 - (265*t[12])/24 - 
       (701*t[13])/24 + (1733*t[14])/72 + t[15]/12 + t[17] + 4*t[20] - 
       4*t[22] - 2*t[24] - 7*t[28] + t[29]/2 - (7*t[30])/2 - (53*t[31])/3 + 
       (7*t[32])/2 - (19*t[33])/2 + 6*t[34] + 2*t[35] + 10*t[36] + 2*t[37] - 
       (3*t[38])/2 + 3*t[39] - (3*t[41])/2 + (3*t[42])/2 + (2*t[43])/3 + 
       5*t[44] - 4*t[45] + t[46]/2 + 4*t[47] - (7*t[48])/8 - (11*t[49])/6 + 
       (791*t[50])/24 - (5*t[51])/8 - (743*t[52])/24 - t[53]/6 - 
       (53*t[54])/24 - t[55] - t[56] + (9*t[59])/2 + (515*t[60])/12 + 
       (147*t[61])/4 - (4883*t[62])/48 + (821*t[63])/16 + (89*t[64])/2 + 
       (1363*t[65])/24 + (1633*t[66])/36 - (3*t[68])/2 + 4*t[69] + 15*t[72] + 
       12*t[73] - 2*t[74] + 2*t[75] - 7*t[76] - (5*t[77])/2 + (29*t[78])/2 - 
       (29*t[79])/2 + 7*t[80] + 10*t[81] + (17*t[82])/6 + (43*t[83])/2 + 
       (311*t[84])/12 - (23*t[85])/3 + (665*t[86])/6 - (25*t[87])/3 - 
       t[88]/6 - (49*t[89])/4 + 2*t[93] - 6*t[95] - (7*t[96])/2 - t[97]/2 - 
       48*t[98] + 48*t[99] + 37*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*(-4*t[1] + (21*t[2])/8 + (13*t[3])/8 + 
       t[4]/2 - t[5]/16 + (55*t[6])/16 - (59*t[7])/8 + (317*t[8])/8 - 
       (209*t[9])/16 + (57*t[10])/2 - (253*t[11])/16 + (391*t[12])/16 - 
       (41*t[13])/3 - (697*t[14])/48 + (959*t[15])/96 + 2*t[20] + 4*t[28] + 
       (3*t[29])/2 - t[30]/2 + 3*t[31] + 2*t[33] + t[35] + 6*t[36] + 
       (17*t[37])/2 + t[43]/2 - 2*t[44] + (167*t[48])/16 - (107*t[49])/8 - 
       (161*t[50])/16 + (107*t[51])/16 + (161*t[52])/16 + (107*t[53])/8 + 
       (341*t[54])/16 - (259*t[60])/8 - (511*t[61])/8 + (601*t[62])/16 - 
       (677*t[63])/16 + (355*t[64])/16 + (397*t[65])/8 + (1025*t[66])/12 - 
       6*t[72] + (27*t[73])/2 - (3*t[74])/2 + (15*t[75])/2 + (3*t[79])/4 - 
       12*t[80] + t[81]/2 - 8*t[82] - 14*t[83] - (7*t[84])/4 - 12*t[85] - 
       (99*t[86])/4 + (57*t[87])/2 + (57*t[88])/4 + (401*t[89])/16 + 
       3*t[99] + (75*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*(t[1] - 6*t[2] - (1009*t[3])/24 + 
       (551*t[4])/12 + (425*t[5])/24 + (85*t[6])/3 - (203*t[7])/2 + 
       (73*t[8])/2 - (869*t[9])/24 + (877*t[10])/24 + (34*t[11])/3 - 
       (65*t[12])/6 + (877*t[13])/36 + (1781*t[14])/48 + (7211*t[15])/216 + 
       4*t[20] - 2*t[23] + 2*t[28] + (5*t[29])/6 + 19*t[30] + (5*t[32])/6 + 
       (38*t[33])/3 - (32*t[34])/3 - 18*t[35] - 12*t[36] + 2*t[39] - 
       6*t[40] + t[41]/2 - t[42]/2 - 6*t[43] - (383*t[44])/12 + 
       (19*t[45])/3 - (19*t[47])/3 + (83*t[48])/6 + (197*t[49])/24 - 
       11*t[50] - (197*t[51])/48 + 19*t[52] - (197*t[53])/24 + (2*t[59])/3 - 
       (14*t[60])/3 + (367*t[61])/6 + (557*t[62])/8 + (55*t[63])/24 - 
       (281*t[64])/2 - (307*t[65])/6 - (233*t[66])/18 - 4*t[69] + 
       (4*t[70])/3 - (4*t[71])/3 - 6*t[73] + (11*t[74])/3 - 48*t[75] - 
       (5*t[76])/3 + 13*t[77] + (28*t[78])/3 - 12*t[79] - (82*t[80])/3 + 
       (85*t[81])/6 - (113*t[82])/6 + 46*t[83] - 10*t[84] - (85*t[85])/4 - 
       156*t[86] - (325*t[87])/12 - (63*t[88])/8 + (293*t[89])/24 + 
       (2*t[95])/3 + (2*t[96])/3 + 2*t[97] - 16*t[98] + 4*t[99] + 
       (75*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((-11*t[1])/2 - 3*t[2] - (45*t[3])/4 + 
       (143*t[4])/4 - (59*t[5])/12 + 16*t[6] - (241*t[7])/12 - 
       (323*t[8])/12 + 10*t[9] + (281*t[10])/4 - (449*t[11])/12 - 
       (61*t[12])/4 - (1685*t[13])/216 + (4525*t[14])/144 + (1183*t[15])/72 - 
       5*t[16] + (13*t[25])/3 + (2*t[26])/3 + 12*t[28] + 12*t[31] - 
       12*t[35] - (47*t[36])/3 - (5*t[37])/3 - 5*t[38] + 12*t[39] - 
       11*t[40] + 12*t[45] + 20*t[46] - 24*t[47] - (5*t[48])/6 + 
       (163*t[49])/12 - (38*t[50])/3 - (607*t[51])/48 + (26*t[52])/3 - 
       (157*t[53])/12 + (257*t[54])/12 + (2*t[59])/3 - (14*t[60])/3 + 
       (367*t[61])/6 + (557*t[62])/8 + (55*t[63])/24 - (281*t[64])/2 - 
       (307*t[65])/6 - (233*t[66])/18 - 4*t[69] + (4*t[70])/3 - (4*t[71])/3 - 
       6*t[73] + (11*t[74])/3 - 48*t[75] - (5*t[76])/3 + 13*t[77] + 
       (28*t[78])/3 - 12*t[79] - (82*t[80])/3 + (85*t[81])/6 - 
       (113*t[82])/6 + 46*t[83] - 10*t[84] - (85*t[85])/4 - 156*t[86] - 
       (325*t[87])/12 - (63*t[88])/8 + (293*t[89])/24 + (2*t[95])/3 + 
       (2*t[96])/3 + 2*t[97] - 16*t[98] + 4*t[99] + (75*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-7*t[1])/6 + (16*t[2])/3 - t[3] + (55*t[4])/8 + (15*t[5])/4 + 
       6*t[6] + 4*t[7] + (73*t[8])/3 - (25*t[9])/4 - (439*t[10])/48 + 
       (359*t[11])/12 + (443*t[12])/16 + (83*t[13])/216 + (1909*t[14])/288 + 
       (227*t[15])/144 + 2*t[25] + t[26] + (8*t[27])/3 - (4*t[28])/3 + 
       (4*t[29])/3 + (2*t[30])/3 - (14*t[31])/3 - t[34]/3 - 8*t[35] + 
       (2*t[36])/3 + 2*t[37] - (7*t[38])/3 - t[39] - 2*t[40] + t[41]/6 - 
       t[42]/6 - t[43]/3 - (4*t[44])/3 + (5*t[46])/2 + (41*t[48])/6 - 
       (341*t[49])/48 + (47*t[50])/6 + (283*t[51])/96 - (13*t[52])/6 + 
       (325*t[53])/48 + (209*t[54])/24 + t[58] + (5*t[59])/6 + 
       (275*t[60])/24 - (425*t[61])/24 + (53*t[62])/48 - (471*t[63])/16 - 
       (55*t[64])/16 - (1165*t[65])/72 - (2863*t[66])/72 + (16*t[69])/3 + 
       t[72]/3 + (34*t[73])/3 + 4*t[75] - 12*t[76] - (8*t[77])/3 + 20*t[78] + 
       (14*t[79])/3 - (4*t[80])/3 + (4*t[81])/3 + 6*t[82] - 22*t[83] + 
       (35*t[84])/24 - (67*t[85])/8 + (38*t[86])/3 + (457*t[87])/24 + 
       (195*t[88])/16 - (1355*t[89])/48 - 2*t[96] - (7*t[97])/3 - 76*t[98] + 
       76*t[99] + (75*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((37*t[1])/6 + 11*t[2] - 122*t[3] - 
       (147*t[4])/4 - (853*t[5])/6 + (5225*t[6])/16 - (1337*t[7])/12 + 
       (6071*t[8])/12 + (5803*t[9])/24 + (401*t[10])/8 - (1681*t[11])/16 + 
       (1873*t[12])/24 + (16525*t[13])/108 + (15353*t[14])/72 + 
       (23053*t[15])/432 + 48*t[19] - 42*t[20] + 12*t[22] - (22*t[23])/3 + 
       44*t[28] + (400*t[29])/3 + 62*t[30] - 9*t[31] + (139*t[32])/6 - 
       t[33]/3 - (206*t[34])/3 - 96*t[35] + 228*t[36] - 34*t[37] + 
       (21*t[38])/2 + (155*t[39])/6 - t[40] + (82*t[41])/3 - (82*t[42])/3 + 
       4*t[43] - (457*t[44])/4 + (58*t[45])/3 - (19*t[47])/3 + 
       (13129*t[48])/48 - (3907*t[49])/24 - (2911*t[50])/48 + 
       (2287*t[51])/48 + (2687*t[52])/48 + (4147*t[53])/24 + 
       (14623*t[54])/48 + (16*t[59])/3 - (2419*t[60])/24 - (1961*t[61])/24 + 
       (5695*t[62])/16 - (9469*t[63])/48 - (6823*t[64])/16 + 
       (10945*t[65])/24 + (2459*t[66])/8 - 6*t[68] - 42*t[69] + 8*t[70] - 
       8*t[71] - 27*t[72] + 372*t[73] + (62*t[74])/3 - 246*t[75] + 
       (119*t[76])/3 - (7*t[77])/3 - 60*t[78] + 93*t[79] + (170*t[80])/3 - 
       (11*t[81])/3 + 35*t[82] - 50*t[83] + (463*t[84])/8 - (919*t[85])/24 - 
       537*t[86] + (2525*t[87])/24 + (1111*t[88])/16 + (4981*t[89])/16 - 
       (52*t[95])/3 - (23*t[96])/3 - (2*t[97])/3 + 168*t[98] - 282*t[99] + 
       39*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 
       1 - w]*((-155*t[1])/6 + (57*t[2])/2 + (107*t[3])/2 + (1441*t[4])/24 + 
       (1519*t[5])/12 - (475*t[6])/12 - (421*t[7])/2 + (104*t[8])/3 - 
       (4069*t[9])/12 + (3287*t[10])/48 - (1997*t[11])/12 - (2813*t[12])/48 - 
       (14215*t[13])/216 - (26689*t[14])/288 + (14281*t[15])/144 + 6*t[19] + 
       12*t[25] + 13*t[26] + 12*t[27] - 18*t[28] - 24*t[29] - 6*t[30] - 
       42*t[31] - 6*t[32] + 6*t[33] + 4*t[34] + 6*t[35] + (28*t[36])/3 - 
       3*t[37] - (51*t[38])/2 - (51*t[39])/2 + (89*t[40])/3 - 2*t[41] + 
       2*t[42] + 12*t[43] - 21*t[44] - 8*t[45] + 38*t[46] + 10*t[47] + 
       (7*t[48])/12 + (1873*t[49])/48 + (163*t[50])/4 - (3057*t[51])/32 - 
       (329*t[52])/12 - (3289*t[53])/48 + (195*t[54])/8 + 5*t[58] + 
       (16*t[59])/3 - (2419*t[60])/24 - (1961*t[61])/24 + (5695*t[62])/16 - 
       (9469*t[63])/48 - (6823*t[64])/16 + (10945*t[65])/24 + 
       (2459*t[66])/8 - 6*t[68] - 42*t[69] + 8*t[70] - 8*t[71] - 27*t[72] + 
       372*t[73] + (62*t[74])/3 - 246*t[75] + (119*t[76])/3 - (7*t[77])/3 - 
       60*t[78] + 93*t[79] + (170*t[80])/3 - (11*t[81])/3 + 35*t[82] - 
       50*t[83] + (463*t[84])/8 - (919*t[85])/24 - 537*t[86] + 
       (2525*t[87])/24 + (1111*t[88])/16 + (4981*t[89])/16 - (52*t[95])/3 - 
       (23*t[96])/3 - (2*t[97])/3 + 168*t[98] - 282*t[99] + 39*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-3*t[1])/4 - 3*t[2] + (599*t[3])/24 - 13*t[4] - (307*t[5])/24 - 
       (149*t[6])/6 + (35*t[7])/6 - (113*t[8])/3 + (123*t[9])/8 + 
       (7*t[10])/6 - (43*t[11])/12 + (121*t[12])/24 - (1049*t[13])/72 - 
       (31*t[14])/9 - (19*t[15])/4 - t[17]/2 + 20*t[20] + 2*t[24] - 2*t[27] + 
       (52*t[28])/3 + t[29]/6 - (29*t[30])/3 + 2*t[31] - (5*t[32])/2 - 
       3*t[33] + (9*t[34])/2 + 2*t[35] + 2*t[36] + t[37] - t[38] + t[39] - 
       (3*t[40])/2 - (3*t[41])/4 + (3*t[42])/4 + (5*t[43])/2 - 
       (77*t[44])/12 - (11*t[45])/2 + t[46] + 4*t[47] - 12*t[48] - 
       (7*t[49])/4 + (16*t[50])/3 - (5*t[51])/8 - (23*t[52])/6 + 
       (7*t[53])/4 - (61*t[54])/12 - 4*t[57] - t[59] - (203*t[60])/12 - 
       (469*t[61])/12 - (47*t[62])/24 + (65*t[63])/8 + (355*t[64])/24 + 
       (65*t[65])/36 + (20*t[66])/3 + t[68] - 2*t[70] + 2*t[71] + 12*t[72] - 
       14*t[73] - 3*t[74] + 38*t[75] + (15*t[76])/2 - 10*t[78] - 6*t[79] + 
       t[80] - (3*t[81])/2 + 5*t[82] - (10*t[83])/3 - (89*t[84])/12 + 
       (13*t[85])/12 + (7*t[86])/3 - (25*t[87])/4 - (93*t[88])/8 - 
       (131*t[89])/12 + 2*t[93] + 2*t[95] + 2*t[96] + 24*t[98] - 34*t[99] + 
       41*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*(-t[1]/4 - t[2]/2 + 3*t[3] - (71*t[4])/12 + 
       (551*t[5])/24 - (69*t[6])/4 - (47*t[7])/12 - (371*t[8])/12 - 
       (431*t[9])/24 + (73*t[10])/12 - (15*t[11])/4 - (37*t[12])/8 + 
       (409*t[13])/72 - (1901*t[14])/144 + (301*t[15])/144 - t[25] - 
       t[26]/2 - 4*t[28] - 2*t[29] - t[32] + t[33] + t[34]/2 + 2*t[35] + 
       t[36] + t[37] + t[38] - 5*t[39] + (9*t[40])/2 - t[41]/4 + t[42]/4 + 
       t[43]/4 + t[44] - 2*t[45] - (7*t[46])/2 + 3*t[47] - (15*t[48])/4 + 
       (133*t[49])/12 + (25*t[50])/4 + (67*t[51])/16 - (31*t[52])/4 - 
       (67*t[53])/12 - (28*t[54])/3 - t[58]/2 - t[59] - (203*t[60])/12 - 
       (469*t[61])/12 - (47*t[62])/24 + (65*t[63])/8 + (355*t[64])/24 + 
       (65*t[65])/36 + (20*t[66])/3 + t[68] - 2*t[70] + 2*t[71] + 12*t[72] - 
       14*t[73] - 3*t[74] + 38*t[75] + (15*t[76])/2 - 10*t[78] - 6*t[79] + 
       t[80] - (3*t[81])/2 + 5*t[82] - (10*t[83])/3 - (89*t[84])/12 + 
       (13*t[85])/12 + (7*t[86])/3 - (25*t[87])/4 - (93*t[88])/8 - 
       (131*t[89])/12 + 2*t[93] + 2*t[95] + 2*t[96] + 24*t[98] - 34*t[99] + 
       41*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((17*t[1])/18 + (19*t[2])/9 + (1643*t[3])/288 - 
       (919*t[4])/144 + (395*t[5])/96 - (9161*t[6])/1152 - (2645*t[7])/288 - 
       (4775*t[8])/288 - (4837*t[9])/576 + (1397*t[10])/96 - 
       (27503*t[11])/1152 + (115*t[12])/288 - (38971*t[13])/2592 - 
       (39905*t[14])/3456 - (67873*t[15])/10368 - t[16]/2 - (70*t[25])/9 + 
       (52*t[26])/9 + (17*t[27])/18 - (19*t[29])/18 - (77*t[30])/24 - 
       (2*t[31])/9 - (19*t[32])/18 + (19*t[33])/18 + (19*t[34])/18 + 
       2*t[35] + (7*t[36])/12 + (7*t[37])/3 + (53*t[38])/36 - (19*t[39])/36 - 
       (19*t[40])/24 - (19*t[41])/36 + (19*t[42])/36 + (79*t[43])/72 + 
       (241*t[44])/144 + (5*t[45])/4 + (61*t[46])/18 - (32*t[47])/9 - 
       (3985*t[48])/384 - (1963*t[49])/288 + (3421*t[50])/1152 + 
       (923*t[51])/576 - (245*t[52])/128 + (1067*t[53])/288 - 
       (1403*t[54])/384 + (11*t[59])/9 + (2929*t[60])/576 - 
       (16097*t[61])/192 - (19619*t[62])/1152 - (9167*t[63])/384 + 
       (19061*t[64])/1152 - (15611*t[65])/1728 + (18239*t[66])/1728 + 
       8*t[69] - (19*t[70])/6 + (19*t[71])/6 - (13*t[72])/18 + 
       (49*t[73])/12 - (15*t[74])/2 + (21*t[75])/4 - (133*t[76])/18 - 
       (19*t[77])/18 + (245*t[78])/18 - (61*t[79])/6 + (32*t[80])/9 + 
       (5*t[81])/18 - (5*t[82])/24 + (47*t[83])/18 + (409*t[84])/576 + 
       (709*t[85])/64 + (755*t[86])/18 - (509*t[87])/192 + (643*t[88])/384 - 
       (9101*t[89])/1152 - (19*t[96])/6 - (19*t[97])/9 - (76*t[98])/3 + 
       (76*t[99])/3 + (509*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Qep[w, v, u]*((64*t[3])/9 - (44*t[5])/9 + (176*t[6])/9 - (200*t[7])/9 + 
       (376*t[8])/9 + 28*t[9] - (88*t[10])/9 - (88*t[11])/9 + (44*t[12])/9 + 
       (64*t[13])/27 + (188*t[14])/27 - (278*t[15])/27 + (544*t[28])/9 + 
       (128*t[29])/9 - (128*t[30])/9 + (64*t[31])/3 + (128*t[35])/3 - 
       (416*t[44])/9 + (16*t[48])/3 - (176*t[50])/9 + (176*t[52])/9 + 
       (176*t[54])/9 + (352*t[60])/9 - (304*t[61])/9 + (56*t[62])/9 - 
       120*t[63] + (152*t[64])/9 + (848*t[65])/27 - (176*t[66])/9 + 
       (64*t[72])/3 + 32*t[73] + (160*t[75])/3 - 32*t[79] - (544*t[83])/9 + 
       (64*t[84])/9 + (64*t[85])/9 + (352*t[86])/9 - (160*t[87])/3 - 
       (80*t[88])/3 + (88*t[89])/9 + (128*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[u, v, w]*
      ((64*t[3])/9 + (100*t[5])/9 - (64*t[6])/9 - (104*t[7])/9 - 
       (296*t[8])/9 - 20*t[9] + (200*t[10])/9 - (136*t[11])/9 - 
       (100*t[12])/9 - (32*t[13])/27 - (676*t[14])/27 + (22*t[15])/9 + 
       (160*t[28])/9 + (128*t[29])/9 + (64*t[30])/9 - (64*t[31])/3 - 
       (128*t[35])/3 - (32*t[44])/9 + (32*t[48])/3 + (64*t[50])/9 - 
       (64*t[52])/9 - (64*t[54])/9 - (128*t[60])/9 - (400*t[61])/9 + 
       (488*t[62])/9 + (200*t[63])/3 - (472*t[64])/9 - (16*t[65])/27 + 
       48*t[66] - (64*t[72])/3 - (32*t[73])/3 + (160*t[75])/3 + 
       (32*t[79])/3 - (736*t[83])/9 - (32*t[84])/9 - (32*t[85])/9 - 
       (800*t[86])/9 + (136*t[89])/9 + (128*t[100])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((197*t[1])/72 + (19*t[2])/144 + (193*t[3])/144 + (329*t[4])/144 + 
       (69*t[5])/16 - (907*t[6])/576 + (1541*t[7])/144 + (773*t[8])/36 - 
       (4301*t[9])/288 - (1063*t[10])/96 + (10319*t[11])/576 + 
       (919*t[12])/288 - (1439*t[13])/324 - (2563*t[14])/432 - 
       (1235*t[15])/5184 + t[16]/12 + t[19]/2 + t[25]/18 + (7*t[26])/9 + 
       (5*t[27])/18 - (37*t[28])/12 + (43*t[29])/36 + (3*t[30])/4 - 
       (47*t[31])/9 + (5*t[32])/18 - (5*t[33])/18 - (19*t[34])/36 + 
       (5*t[35])/3 + (19*t[36])/3 + (7*t[37])/2 + (7*t[38])/18 - 
       (673*t[39])/144 + (211*t[40])/48 + (19*t[41])/72 - (19*t[42])/72 + 
       (5*t[43])/9 - (491*t[44])/144 - (29*t[45])/6 - (29*t[46])/18 + 
       (179*t[47])/18 - (367*t[48])/192 - (625*t[49])/288 + 
       (1703*t[50])/576 + (1067*t[51])/576 - (637*t[52])/192 + 
       (689*t[53])/288 - (697*t[54])/192 + t[58]/2 + (157*t[59])/72 - 
       (6199*t[60])/288 - (1879*t[61])/96 - (24283*t[62])/576 + 
       (243*t[63])/64 + (44245*t[64])/576 + (16919*t[65])/864 + 
       (26221*t[66])/864 + (5*t[67])/12 + 5*t[69] - (5*t[70])/6 + 
       (5*t[71])/6 + (4*t[72])/9 + (10*t[73])/3 - (101*t[74])/12 + t[75]/3 + 
       (11*t[76])/18 - (89*t[77])/36 - (335*t[78])/36 - (55*t[79])/12 + 
       (109*t[80])/18 - (43*t[81])/18 - (5*t[82])/12 + (155*t[83])/18 - 
       (2713*t[84])/288 - (241*t[85])/32 + (1867*t[86])/36 + 
       (3023*t[87])/96 + (3631*t[88])/192 + (23*t[89])/576 - t[95]/3 - 
       t[96]/2 + (35*t[97])/36 - (5*t[98])/6 - (43*t[99])/6 + 
       (128*t[100])/3) + HPL[{0, 1}, 1 - v]*Qep[w, u, v]*
      ((-64*t[1])/9 + (128*t[2])/9 + (292*t[3])/9 - (344*t[4])/3 + 
       (340*t[5])/9 - (335*t[6])/9 + (4*t[7])/9 - (380*t[8])/3 + 
       (250*t[9])/9 + (4*t[10])/9 - (529*t[11])/9 + (100*t[12])/9 - 
       (2716*t[13])/81 - (1499*t[14])/27 - (2335*t[15])/81 - (64*t[27])/9 - 
       (64*t[29])/9 + (16*t[30])/3 - (256*t[31])/9 - (64*t[32])/9 + 
       (64*t[33])/9 + (64*t[34])/9 + (32*t[36])/3 + (64*t[37])/3 - 
       (32*t[38])/9 - (32*t[39])/9 - (16*t[40])/3 - (32*t[41])/9 + 
       (32*t[42])/9 - (32*t[43])/9 + (344*t[44])/9 + (16*t[46])/3 - 
       (64*t[47])/9 - (95*t[48])/3 - (356*t[49])/9 + (83*t[50])/9 + 
       (110*t[51])/9 - (19*t[52])/9 + (76*t[53])/3 - 23*t[54] + 
       (64*t[59])/9 - 66*t[60] - 138*t[61] - (325*t[62])/9 - (43*t[63])/9 + 
       (1267*t[64])/9 + (2606*t[65])/27 - (710*t[66])/27 + (64*t[69])/3 + 
       (320*t[72])/9 + (64*t[73])/3 - 64*t[75] - (448*t[76])/9 - 
       (64*t[77])/9 + (704*t[78])/9 + (128*t[79])/3 - (512*t[80])/9 + 
       (272*t[81])/9 + (32*t[82])/3 + (224*t[83])/3 + (422*t[84])/9 + 
       (22*t[85])/9 + (1024*t[86])/9 + (622*t[87])/9 + (311*t[88])/9 - 
       (427*t[89])/9 - (64*t[96])/3 - (128*t[97])/9 - (512*t[98])/3 + 
       (512*t[99])/3 + (128*t[100])/3) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*(22*t[1] - 3*t[2] - 92*t[4] + 
       (37*t[5])/2 + (243*t[6])/4 + 25*t[7] + 49*t[8] - (27*t[9])/2 - 
       73*t[10] - (9*t[11])/4 - 4*t[12] - (281*t[13])/18 - (141*t[14])/2 + 
       (55*t[15])/4 - 2*t[16] - 22*t[25] - 14*t[26] - 24*t[27] + 4*t[28] - 
       4*t[31] - 4*t[36] - 16*t[37] + 8*t[38] - 10*t[39] - 16*t[45] + 
       27*t[46] + 32*t[47] + (79*t[48])/4 - 14*t[49] + (15*t[50])/4 + 
       (31*t[51])/4 - (15*t[52])/4 + 34*t[53] + (97*t[54])/4 + 10*t[59] - 
       (159*t[60])/2 + 20*t[61] + (27*t[62])/4 - (259*t[63])/4 + 88*t[64] + 
       (623*t[65])/3 + 111*t[66] + 26*t[68] + 12*t[72] - 8*t[73] + 44*t[75] - 
       48*t[76] + 56*t[78] - 8*t[79] + 64*t[80] + 25*t[81] - 5*t[82] + 
       6*t[83] - 4*t[84] - (109*t[85])/2 + 44*t[86] + (221*t[87])/2 + 
       (221*t[88])/4 + 13*t[89] + t[91]/3 + 2*t[93] - 120*t[98] + 144*t[99] + 
       46*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      ((43*t[2])/2 + 77*t[3] - 59*t[4] + (105*t[5])/4 - (35*t[6])/2 + 
       44*t[7] - 13*t[8] - (127*t[9])/4 - (9*t[10])/2 + 3*t[11] - 
       (17*t[12])/4 - (175*t[13])/9 - (143*t[14])/3 + (299*t[15])/24 - 
       15*t[17] + 20*t[20] + 4*t[24] + 24*t[28] - 6*t[33] - 16*t[37] - 
       4*t[39] + 14*t[41] - 14*t[42] + 8*t[43] + (47*t[48])/2 - 
       (45*t[49])/2 + (15*t[50])/2 + (45*t[51])/4 - (15*t[52])/2 + 
       (45*t[53])/2 + (27*t[54])/2 + 2*t[55] + 10*t[59] - (159*t[60])/2 + 
       20*t[61] + (27*t[62])/4 - (259*t[63])/4 + 88*t[64] + (623*t[65])/3 + 
       111*t[66] + 26*t[68] + 12*t[72] - 8*t[73] + 44*t[75] - 48*t[76] + 
       56*t[78] - 8*t[79] + 64*t[80] + 25*t[81] - 5*t[82] + 6*t[83] - 
       4*t[84] - (109*t[85])/2 + 44*t[86] + (221*t[87])/2 + (221*t[88])/4 + 
       13*t[89] + t[91]/3 + 2*t[93] - 120*t[98] + 144*t[99] + 46*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((25*t[1])/72 - (277*t[2])/36 + (1763*t[3])/144 - (4841*t[4])/144 + 
       (239*t[5])/72 - (3955*t[6])/288 + (201*t[7])/16 - (1271*t[8])/144 - 
       (85*t[9])/12 - (1381*t[10])/288 - (3389*t[11])/288 + 
       (2419*t[12])/288 - (30841*t[13])/1296 - (4157*t[14])/192 - 
       (8081*t[15])/864 - (29*t[20])/18 + (5*t[24])/6 + (5*t[26])/4 - 
       (5*t[27])/9 - (64*t[28])/9 - (31*t[29])/9 - (13*t[30])/9 - 
       (25*t[31])/9 + (59*t[32])/6 - (70*t[33])/9 - (35*t[34])/36 + 8*t[35] + 
       (13*t[36])/3 + (13*t[37])/6 - (2*t[38])/9 + (7*t[39])/12 - 
       (5*t[40])/6 + (89*t[41])/72 - (89*t[42])/72 + (41*t[43])/18 + 
       (283*t[44])/72 + (25*t[45])/12 - (5*t[46])/24 - t[47]/4 - 
       (781*t[48])/288 - (1673*t[49])/288 + (2459*t[50])/288 + 
       (1709*t[51])/576 - (171*t[52])/32 + (1513*t[53])/288 - 
       (1579*t[54])/288 + (5*t[58])/12 + (23*t[59])/18 - (2081*t[60])/72 - 
       (1367*t[61])/48 - (5567*t[62])/144 - (119*t[63])/48 + 
       (11525*t[64])/144 + (10007*t[65])/432 + (12613*t[66])/432 + 
       (5*t[67])/12 + (5*t[69])/2 + (13*t[72])/18 - (91*t[74])/12 + t[75]/3 - 
       (193*t[76])/36 - (139*t[77])/36 - (115*t[78])/36 - (35*t[79])/12 + 
       (52*t[80])/9 - (151*t[81])/36 + (5*t[82])/12 + (175*t[83])/18 - 
       (859*t[84])/144 - (153*t[85])/16 + (2027*t[86])/36 + (937*t[87])/24 + 
       (363*t[88])/16 - (229*t[89])/72 - t[95]/3 - (13*t[96])/6 - 
       (5*t[97])/9 - (235*t[98])/6 + (187*t[99])/6 + (281*t[100])/6) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2*((23*t[1])/2 - (3*t[2])/2 - 
       8*t[3] - (111*t[4])/2 + (239*t[5])/4 + 20*t[6] - 41*t[7] + 
       (121*t[8])/4 - (269*t[9])/4 + (287*t[10])/4 - (81*t[11])/4 - 
       (117*t[12])/2 - (47*t[13])/8 - (3*t[14])/4 + (605*t[15])/24 + t[16] - 
       6*t[25] + 2*t[26] + 2*t[27] + 4*t[28] + 6*t[29] - 4*t[30] - 10*t[31] - 
       2*t[32] + 2*t[33] - 16*t[35] - 6*t[36] - 12*t[37] + 4*t[38] + 
       2*t[39] + 15*t[43] - 13*t[44] + (13*t[45])/2 - 15*t[47] + 
       (65*t[48])/4 + (35*t[49])/4 - (3*t[50])/4 + (3*t[52])/4 - 
       (27*t[53])/4 + (17*t[54])/4 - 54*t[60] - (47*t[61])/2 + (27*t[62])/2 + 
       14*t[63] + (697*t[64])/4 + 18*t[65] + (265*t[66])/3 - t[68] - 
       4*t[69] + 2*t[72] - 2*t[73] + t[75] + 12*t[76] + 7*t[77] - 17*t[78] + 
       2*t[79] + 36*t[80] + 8*t[81] + 4*t[82] - 10*t[83] - 8*t[84] - 
       19*t[85] - 13*t[86] + (87*t[87])/2 + (87*t[88])/4 + (31*t[89])/2 - 
       16*t[99] + 47*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]^2*
      (-7*t[2] - (21*t[3])/4 - (3*t[4])/2 - (203*t[5])/4 - 32*t[6] - 
       (93*t[7])/4 - (79*t[8])/4 - t[9] - (39*t[10])/4 - (127*t[11])/4 + 
       9*t[12] - (2327*t[13])/72 - (203*t[14])/8 - (2029*t[15])/72 + 
       (14*t[19])/3 + t[20] + 11*t[21] - 11*t[23] + 4*t[24] + 14*t[28] + 
       3*t[29] + 18*t[30] - 3*t[31] + 10*t[32] - 6*t[33] + 4*t[34] - 
       3*t[35] - 4*t[36] - 2*t[37] + 8*t[39] - 3*t[40] + (19*t[41])/2 - 
       (19*t[42])/2 - t[43]/4 - (3*t[44])/2 - 10*t[45] + 2*t[46] + 16*t[47] + 
       (27*t[48])/4 - (35*t[49])/4 + (23*t[50])/4 + (45*t[51])/8 - 
       (19*t[52])/4 + (35*t[53])/4 + (99*t[54])/4 - 4*t[57] - 54*t[60] - 
       (47*t[61])/2 + (27*t[62])/2 + 14*t[63] + (697*t[64])/4 + 18*t[65] + 
       (265*t[66])/3 - t[68] - 4*t[69] + 2*t[72] - 2*t[73] + t[75] + 
       12*t[76] + 7*t[77] - 17*t[78] + 2*t[79] + 36*t[80] + 8*t[81] + 
       4*t[82] - 10*t[83] - 8*t[84] - 19*t[85] - 13*t[86] + (87*t[87])/2 + 
       (87*t[88])/4 + (31*t[89])/2 - 16*t[99] + 47*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*(18*t[1] + 8*t[3] - 
       7*t[4] + 22*t[5] - 3*t[6] - 6*t[7] - 22*t[8] - 30*t[9] - 
       (61*t[10])/2 - 44*t[11] - (87*t[12])/2 - (28*t[13])/3 - 
       (277*t[14])/4 + (27*t[15])/2 + 3*t[16] - 13*t[25] - 5*t[26] + 
       18*t[38] - 13*t[46] - 3*t[48] + t[49]/2 + 13*t[50] + (79*t[51])/4 - 
       13*t[52] - (13*t[53])/2 - 9*t[54] - 9*t[59] + (5*t[60])/2 - 
       (465*t[61])/4 + (215*t[62])/2 - (229*t[63])/4 - (275*t[64])/8 + 
       (473*t[65])/6 + 175*t[66] - 39*t[73] + 111*t[75] - 12*t[81] + 
       12*t[82] - 35*t[83] - 12*t[84] - 14*t[85] + 8*t[86] - 11*t[87] - 
       (47*t[88])/2 + (197*t[89])/8 + 48*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((117*t[2])/4 - (49*t[3])/2 - (89*t[4])/4 - (191*t[5])/8 + 
       (37*t[6])/2 - (87*t[7])/2 + (215*t[8])/2 - (83*t[9])/8 + 
       (113*t[10])/8 - (127*t[11])/2 + (5*t[12])/4 - (235*t[13])/6 - 
       (165*t[14])/16 - (803*t[15])/48 + 10*t[20] + 8*t[28] + 3*t[29] + 
       8*t[30] + 2*t[32] - 5*t[33] + 24*t[35] - 28*t[44] + (47*t[48])/2 - 
       (37*t[49])/8 - (55*t[50])/2 + (37*t[51])/16 + (55*t[52])/2 + 
       (37*t[53])/8 + (147*t[54])/4 - 9*t[59] + (5*t[60])/2 - (465*t[61])/4 + 
       (215*t[62])/2 - (229*t[63])/4 - (275*t[64])/8 + (473*t[65])/6 + 
       175*t[66] - 39*t[73] + 111*t[75] - 12*t[81] + 12*t[82] - 35*t[83] - 
       12*t[84] - 14*t[85] + 8*t[86] - 11*t[87] - (47*t[88])/2 + 
       (197*t[89])/8 + 48*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((-103*t[1])/12 + 
       (19*t[2])/6 + (23*t[3])/12 - (233*t[4])/6 - (145*t[5])/12 - 
       (62*t[6])/3 + (49*t[7])/2 + (97*t[8])/6 + (47*t[9])/3 + 
       (185*t[10])/24 - (29*t[11])/3 + (661*t[12])/24 - (1553*t[13])/54 + 
       (3559*t[14])/144 + (301*t[15])/72 + 6*t[25] + (7*t[26])/2 + 
       (7*t[27])/3 + (4*t[28])/3 - (7*t[29])/3 + (13*t[30])/3 - 2*t[31] + 
       (5*t[34])/6 + 3*t[35] - t[36] - (29*t[38])/3 + t[39] + (3*t[40])/2 - 
       (5*t[41])/12 + (5*t[42])/12 - (7*t[43])/2 - (2*t[44])/3 - 2*t[45] + 
       3*t[46] + 4*t[47] - (55*t[48])/12 - (557*t[49])/24 + (47*t[50])/4 + 
       (7*t[51])/16 - (155*t[52])/12 + (193*t[53])/24 + (65*t[54])/4 + 
       t[58]/2 + (13*t[59])/3 + (601*t[60])/24 + (31*t[61])/8 - 
       (371*t[62])/4 + (122*t[63])/3 + (2287*t[64])/48 + (1153*t[65])/18 + 
       (3811*t[66])/72 - (3*t[68])/2 + 2*t[69] + (47*t[72])/3 + 6*t[73] - 
       2*t[74] + 4*t[75] - (64*t[76])/3 - (35*t[77])/6 + (175*t[78])/6 - 
       (25*t[79])/2 + (19*t[80])/3 + (14*t[81])/3 + (35*t[82])/6 + 
       (49*t[83])/2 + (821*t[84])/24 - (257*t[85])/24 + (757*t[86])/6 + 
       (69*t[87])/8 + (133*t[88])/16 - (979*t[89])/48 + 2*t[93] - 6*t[95] - 
       (15*t[96])/2 - (25*t[97])/6 - 140*t[98] + 140*t[99] + 51*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*((-9*t[1])/2 - 16*t[2] + 
       (1715*t[3])/48 + (497*t[4])/4 + 77*t[5] - (1193*t[6])/12 + 
       (1243*t[7])/24 - (6947*t[8])/24 + (319*t[9])/12 - (35*t[10])/8 + 
       (773*t[11])/6 - (95*t[12])/2 + (9673*t[13])/144 - (3581*t[14])/144 - 
       (36895*t[15])/864 - 3*t[16] - 18*t[19] + 2*t[23] + 10*t[25] - 
       4*t[26] - (87*t[29])/8 - (455*t[30])/12 + 8*t[31] - (19*t[32])/12 + 
       (19*t[33])/12 - (28*t[34])/3 + 18*t[37] - 6*t[38] + (27*t[39])/2 - 
       (49*t[40])/3 - 9*t[41] + 9*t[42] - (3*t[43])/2 + (1313*t[44])/24 - 
       t[46]/2 - (1493*t[48])/24 + (391*t[49])/8 + (229*t[50])/24 - 
       (313*t[51])/16 - (229*t[52])/24 - (391*t[53])/8 - (857*t[54])/6 + 
       (4*t[59])/3 + (603*t[60])/4 + (7891*t[61])/24 + (3919*t[62])/48 - 
       (3189*t[63])/16 - (25001*t[64])/48 - (40285*t[65])/72 - 
       (34955*t[66])/72 + (3*t[68])/2 + 36*t[69] - 18*t[72] + 146*t[73] - 
       27*t[74] - 87*t[75] + (215*t[76])/6 + 3*t[77] + (208*t[78])/3 - 
       (61*t[79])/2 - 135*t[80] + (10*t[81])/3 - 63*t[82] + 35*t[83] - 
       (1925*t[84])/24 - (711*t[85])/8 - 133*t[86] - (575*t[87])/24 - 
       (575*t[88])/48 - (1379*t[89])/8 - 6*t[97] - 68*t[98] + 216*t[99] + 
       52*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*
      ((-17*t[1])/3 - (255*t[2])/4 - (39*t[3])/2 + (1919*t[4])/8 + 
       (895*t[5])/8 + (535*t[6])/8 - (313*t[7])/4 - (313*t[8])/4 - 
       (1591*t[9])/24 + (3521*t[10])/12 + (715*t[11])/4 - (231*t[12])/2 + 
       (2903*t[13])/24 + (18779*t[14])/288 + (10633*t[15])/144 + 
       (15*t[17])/2 - 6*t[19] + 87*t[20] - 33*t[21] - 60*t[22] + 33*t[23] - 
       6*t[24] + (26*t[26])/3 - 30*t[27] - 12*t[29] + 18*t[30] + 39*t[31] - 
       18*t[32] + 45*t[33] - 24*t[34] + 78*t[35] - 18*t[36] - (21*t[37])/2 - 
       (8*t[38])/3 - 42*t[39] + 18*t[40] - (45*t[41])/2 + (45*t[42])/2 - 
       (9*t[43])/4 - 6*t[44] + 165*t[45] - (71*t[46])/4 - 213*t[47] + 
       (27*t[48])/8 + (971*t[49])/8 + (567*t[50])/8 - (2933*t[51])/96 - 
       (687*t[52])/8 - (2947*t[53])/24 - (599*t[54])/6 - 6*t[56] + 12*t[57] + 
       (4*t[59])/3 + (603*t[60])/4 + (7891*t[61])/24 + (3919*t[62])/48 - 
       (3189*t[63])/16 - (25001*t[64])/48 - (40285*t[65])/72 - 
       (34955*t[66])/72 + (3*t[68])/2 + 36*t[69] - 18*t[72] + 146*t[73] - 
       27*t[74] - 87*t[75] + (215*t[76])/6 + 3*t[77] + (208*t[78])/3 - 
       (61*t[79])/2 - 135*t[80] + (10*t[81])/3 - 63*t[82] + 35*t[83] - 
       (1925*t[84])/24 - (711*t[85])/8 - 133*t[86] - (575*t[87])/24 - 
       (575*t[88])/48 - (1379*t[89])/8 - 6*t[97] - 68*t[98] + 216*t[99] + 
       52*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[u, w, v]*
      ((128*t[4])/9 + (44*t[5])/9 - (88*t[7])/9 - (88*t[8])/9 - (44*t[9])/9 + 
       (56*t[10])/9 - (8*t[11])/3 + 20*t[12] + (256*t[13])/27 - 
       (340*t[14])/27 + (86*t[15])/27 - (32*t[36])/3 + (32*t[49])/9 + 
       (8*t[51])/3 - (32*t[53])/9 - (32*t[54])/9 + (128*t[60])/9 - 
       (560*t[61])/9 + (376*t[62])/9 - (104*t[63])/3 - (296*t[64])/9 + 
       (592*t[65])/27 + 16*t[66] + (64*t[69])/3 + (32*t[73])/3 + 
       (224*t[75])/3 - (32*t[79])/3 - (512*t[83])/9 + (32*t[84])/9 + 
       (32*t[85])/9 - (352*t[86])/9 - (128*t[87])/3 - (64*t[88])/3 + 
       (152*t[89])/9 + (160*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((115*t[1])/24 + (77*t[2])/48 + 
       (325*t[3])/24 - (251*t[4])/24 + (537*t[5])/32 - (261*t[6])/16 - 
       (81*t[7])/4 - (413*t[8])/8 - (751*t[9])/32 - (643*t[10])/16 + 
       (11*t[11])/6 - (2879*t[12])/96 + (851*t[13])/144 - (2449*t[14])/48 + 
       (8581*t[15])/576 - t[20] - t[21] + t[23] - (85*t[26])/12 + 
       (31*t[28])/6 + (4*t[29])/3 - (4*t[30])/3 + (25*t[34])/12 - 
       (7*t[35])/2 - 3*t[36] - (4*t[37])/3 + (35*t[38])/6 - t[39]/3 + 
       (11*t[40])/6 - (37*t[41])/24 + (37*t[42])/24 - (10*t[44])/3 + 
       (11*t[45])/2 + (55*t[46])/12 - 11*t[47] - (229*t[48])/48 - 
       (397*t[49])/48 + (955*t[50])/48 + (185*t[51])/96 - (341*t[52])/16 + 
       (197*t[53])/48 - (1069*t[54])/48 - (5*t[58])/12 - (101*t[59])/24 - 
       (55*t[60])/2 - (158*t[61])/3 + (3277*t[62])/32 + (545*t[63])/96 - 
       (243*t[64])/16 + (4931*t[65])/144 + (18979*t[66])/144 - (3*t[68])/2 - 
       8*t[69] + (19*t[72])/6 - (23*t[73])/12 + 4*t[74] + 5*t[75] - 
       (19*t[76])/4 - (8*t[77])/3 + (13*t[78])/6 + (8*t[79])/3 - 
       (61*t[80])/6 - (61*t[81])/6 + (43*t[82])/3 - (51*t[83])/2 + 
       (115*t[84])/12 + (139*t[85])/24 - (143*t[86])/3 + (257*t[87])/24 + 
       (75*t[88])/16 + (499*t[89])/48 - 5*t[96] - (35*t[97])/12 - 26*t[98] + 
       29*t[99] + (163*t[100])/3) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(138*t[2] + 10*t[3] + (9*t[4])/4 + 
       55*t[5] + (31*t[6])/2 - 42*t[7] - 98*t[8] - (25*t[9])/2 - 
       (101*t[10])/8 - 2*t[11] - (405*t[12])/8 - (83*t[13])/12 - 
       (907*t[14])/16 - (821*t[15])/24 + 24*t[18] + 22*t[29] + 72*t[35] - 
       (9*t[37])/2 + 21*t[48] + (141*t[49])/8 - 21*t[50] + (93*t[51])/16 + 
       21*t[52] - (141*t[53])/8 + (111*t[54])/4 - 35*t[59] - (151*t[60])/4 + 
       (385*t[61])/4 - (133*t[62])/8 - (1443*t[63])/8 + (2059*t[64])/8 - 
       (201*t[65])/4 + (49*t[66])/4 - 4*t[67] - 8*t[69] + 40*t[70] - 
       40*t[71] + 88*t[74] - 39*t[76] + 45*t[78] - 3*t[81] - (75*t[84])/4 - 
       (27*t[85])/4 + (31*t[87])/4 + (31*t[88])/8 + (219*t[89])/8 + 
       60*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (46*t[1] + (33*t[3])/4 - 40*t[4] - (49*t[5])/2 + (351*t[6])/8 - 
       (183*t[7])/2 + (339*t[8])/2 - (91*t[9])/4 + 23*t[10] + (733*t[11])/8 - 
       (107*t[12])/2 - (55*t[13])/3 + (75*t[14])/8 - t[15]/12 + 4*t[16] - 
       14*t[26] + (45*t[29])/2 + 6*t[30] - 88*t[36] - 32*t[37] + 
       (15*t[38])/2 - (3*t[39])/2 + (3*t[40])/2 - 57*t[44] + 44*t[46] + 
       (321*t[48])/8 - 21*t[49] - (363*t[50])/8 - (45*t[51])/2 + 
       (363*t[52])/8 + 21*t[53] + (339*t[54])/8 - 35*t[59] - (151*t[60])/4 + 
       (385*t[61])/4 - (133*t[62])/8 - (1443*t[63])/8 + (2059*t[64])/8 - 
       (201*t[65])/4 + (49*t[66])/4 - 4*t[67] - 8*t[69] + 40*t[70] - 
       40*t[71] + 88*t[74] - 39*t[76] + 45*t[78] - 3*t[81] - (75*t[84])/4 - 
       (27*t[85])/4 + (31*t[87])/4 + (31*t[88])/8 + (219*t[89])/8 + 
       60*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[v, w, u]*
      ((20*t[5])/3 + (16*t[6])/3 - 24*t[7] - (8*t[8])/3 - (4*t[9])/3 + 
       (40*t[10])/3 - (56*t[11])/3 - (20*t[12])/3 + (28*t[14])/9 + 
       (94*t[15])/27 + (160*t[28])/3 - (64*t[31])/3 - (128*t[35])/3 - 
       (32*t[44])/3 + (80*t[48])/3 - (16*t[50])/3 + (16*t[52])/3 + 
       (16*t[54])/3 + (32*t[60])/3 - (112*t[61])/3 + (152*t[62])/3 - 
       8*t[63] - (136*t[64])/3 + 16*t[65] + (304*t[66])/9 - (64*t[72])/3 + 
       (32*t[73])/3 + 32*t[75] - (32*t[79])/3 - 96*t[83] - (160*t[86])/3 - 
       (32*t[87])/3 - (16*t[88])/3 + (56*t[89])/3 + 64*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[w, u, v]*((-32*t[1])/3 + 
       (208*t[3])/9 - (200*t[4])/3 + (280*t[5])/9 - (304*t[6])/9 + 
       (16*t[7])/3 - (160*t[8])/3 + (56*t[9])/3 + (124*t[10])/9 - 
       (664*t[11])/9 + (212*t[12])/9 - (1400*t[13])/27 - (1582*t[14])/27 - 
       (568*t[15])/27 - (64*t[31])/9 + (32*t[36])/3 + (64*t[37])/3 - 
       (32*t[43])/9 - (16*t[48])/3 - (140*t[49])/9 + (80*t[50])/9 + 6*t[51] - 
       (80*t[52])/9 + (140*t[53])/9 - (152*t[54])/9 - (464*t[60])/9 - 
       (752*t[61])/3 + (80*t[62])/9 + (272*t[63])/3 + 56*t[64] + 160*t[65] + 
       (5840*t[66])/27 + (128*t[79])/3 - (128*t[80])/3 + (128*t[82])/9 + 
       (64*t[84])/9 - (64*t[85])/9 + (704*t[86])/9 + (64*t[87])/9 + 
       (32*t[88])/9 + (104*t[89])/3 + 64*t[100]) + 
     HPL[{0, 1}, 1 - v]*Qep[v, u, w]*((-64*t[1])/3 + (80*t[2])/3 + 
       (244*t[3])/3 - 120*t[4] + (20*t[5])/3 - (193*t[6])/3 - (404*t[7])/3 - 
       (572*t[8])/3 - 54*t[9] - (188*t[10])/3 - 293*t[11] - 60*t[12] - 
       (3092*t[13])/27 - (553*t[14])/9 - (2401*t[15])/27 - (64*t[27])/3 - 
       (64*t[28])/3 - (80*t[29])/3 - 16*t[30] - (64*t[32])/3 + (64*t[33])/3 + 
       (64*t[34])/3 + (128*t[35])/3 - 32*t[36] - (64*t[37])/3 - 
       (32*t[38])/3 - (112*t[39])/3 + 16*t[40] - (32*t[41])/3 + 
       (32*t[42])/3 - (32*t[43])/3 + (200*t[44])/3 - 16*t[46] - 
       (64*t[47])/3 - 17*t[48] + (76*t[49])/3 + (109*t[50])/3 - 6*t[51] - 
       15*t[52] - 68*t[53] + (127*t[54])/3 - (64*t[59])/3 + (130*t[60])/3 - 
       706*t[61] + (349*t[62])/3 + (403*t[63])/3 - (251*t[64])/3 - 
       (62*t[65])/9 + (2134*t[66])/9 - (64*t[69])/3 + (64*t[72])/3 - 
       (256*t[73])/3 - 128*t[76] - (128*t[77])/3 + 192*t[78] + 64*t[79] - 
       (80*t[81])/3 + (224*t[82])/3 + 160*t[83] + (362*t[84])/3 + 
       (346*t[85])/3 + 320*t[86] - (110*t[87])/3 - (55*t[88])/3 - 
       (509*t[89])/3 - 64*t[96] - (128*t[97])/3 - 640*t[98] + 640*t[99] + 
       64*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-37*t[2])/4 - (41*t[3])/4 - (11*t[4])/2 - 
       20*t[5] - 22*t[6] + (105*t[7])/4 - (143*t[8])/4 - (99*t[9])/4 + 
       (63*t[10])/4 - (79*t[11])/4 - (9*t[12])/4 - (365*t[13])/12 - 
       (23*t[14])/12 - (23*t[15])/6 + 3*t[18] + 9*t[20] - 9*t[22] - 
       18*t[28] - 10*t[29] + 12*t[30] + 9*t[32] - 6*t[33] + 22*t[35] - 
       3*t[36] + 3*t[37] + (3*t[41])/2 - (3*t[42])/2 - (3*t[43])/2 + 
       9*t[44] + 3*t[47] - 18*t[48] + (7*t[49])/2 + 12*t[50] - (7*t[51])/4 - 
       12*t[52] - (7*t[53])/2 - 16*t[54] - t[59] - (111*t[60])/4 - 
       (139*t[61])/4 + (69*t[62])/4 + (399*t[63])/4 + (59*t[64])/8 - 
       (101*t[65])/3 + (547*t[66])/6 + 2*t[67] + 12*t[69] - 9*t[70] + 
       9*t[71] - 24*t[73] - 12*t[74] + 25*t[75] + 3*t[77] + 3*t[78] - 
       11*t[79] - 9*t[80] + 2*t[81] - 2*t[82] + (93*t[83])/2 - (49*t[84])/4 - 
       (5*t[85])/4 - 25*t[86] + (31*t[87])/4 + (31*t[88])/8 - (15*t[89])/8 - 
       6*t[99] + (129*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v]*(7*t[1] + (7*t[3])/4 - 3*t[4] + (23*t[5])/2 - 
       (9*t[6])/8 - (29*t[7])/4 - (67*t[8])/4 - (35*t[9])/4 + 57*t[10] - 
       (409*t[11])/8 - (111*t[12])/4 - (333*t[13])/8 + (163*t[14])/24 - 
       (13*t[15])/4 - 2*t[16] - 14*t[25] + 2*t[26] + 3*t[28] + 3*t[31] - 
       3*t[35] - 2*t[36] + 9*t[37] + 8*t[38] + 3*t[39] - 3*t[40] + 3*t[45] - 
       (13*t[46])/2 - 6*t[47] - (81*t[48])/8 + (27*t[49])/4 + (43*t[50])/8 + 
       (9*t[51])/4 - (43*t[52])/8 - (27*t[53])/4 + (5*t[54])/8 - t[59] - 
       (111*t[60])/4 - (139*t[61])/4 + (69*t[62])/4 + (399*t[63])/4 + 
       (59*t[64])/8 - (101*t[65])/3 + (547*t[66])/6 + 2*t[67] + 12*t[69] - 
       9*t[70] + 9*t[71] - 24*t[73] - 12*t[74] + 25*t[75] + 3*t[77] + 
       3*t[78] - 11*t[79] - 9*t[80] + 2*t[81] - 2*t[82] + (93*t[83])/2 - 
       (49*t[84])/4 - (5*t[85])/4 - 25*t[86] + (31*t[87])/4 + (31*t[88])/8 - 
       (15*t[89])/8 - 6*t[99] + (129*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-23*t[1])/6 + (109*t[2])/6 - (63*t[3])/2 - (299*t[4])/6 - 
       (17*t[5])/2 + (209*t[6])/4 + 28*t[7] + (281*t[8])/3 + (53*t[9])/3 + 
       (287*t[10])/12 + (23*t[11])/4 + (607*t[12])/12 - (4603*t[13])/108 + 
       (339*t[14])/8 + (145*t[15])/6 + 15*t[26] + (4*t[27])/3 + 
       (16*t[28])/3 - (4*t[29])/3 + (4*t[30])/3 - (64*t[31])/3 - 
       (11*t[34])/3 - 28*t[35] + 10*t[37] - (32*t[38])/3 + 2*t[39] - 
       10*t[40] + (11*t[41])/6 - (11*t[42])/6 - (2*t[43])/3 - (14*t[44])/3 + 
       2*t[46] + (413*t[48])/12 - (97*t[49])/4 + (365*t[50])/12 + 
       (21*t[51])/8 - (49*t[52])/12 + (259*t[53])/12 + (229*t[54])/12 + 
       5*t[58] + (41*t[59])/6 - 96*t[60] + 23*t[61] - (17*t[62])/6 - 
       (353*t[63])/6 + (197*t[64])/6 + (281*t[65])/9 - (2*t[66])/9 + 
       (8*t[72])/3 - 12*t[73] + 12*t[75] - (121*t[76])/3 - (16*t[77])/3 + 
       (80*t[78])/3 - 4*t[79] - (38*t[80])/3 - (49*t[81])/3 - t[82] - 
       14*t[83] + (35*t[84])/3 - (170*t[85])/3 + (4*t[86])/3 + 
       (304*t[87])/3 + (152*t[88])/3 - (17*t[89])/6 - 4*t[96] - 
       (23*t[97])/3 - 296*t[98] + 296*t[99] + 65*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (-3*t[1] + (261*t[2])/16 - (973*t[3])/72 - (1249*t[4])/48 - 
       (2899*t[5])/288 + (452*t[6])/9 - (395*t[7])/8 + (197*t[8])/2 - 
       (331*t[9])/32 + (1991*t[10])/288 - (6539*t[11])/72 + (35*t[12])/9 - 
       (14749*t[13])/432 + (14555*t[14])/1728 + (12317*t[15])/1728 - 
       6*t[20] - (5*t[28])/2 + (95*t[29])/6 - 4*t[30] + (73*t[31])/18 - 
       t[32]/3 + (7*t[33])/6 + (23*t[34])/3 - (9*t[35])/2 - (43*t[36])/12 + 
       (5*t[37])/6 - (5*t[38])/3 - (5*t[39])/2 + (5*t[40])/12 - (5*t[41])/6 + 
       (5*t[42])/6 - (89*t[43])/36 - (323*t[44])/12 - (35*t[45])/12 + 
       (5*t[47])/12 + (111*t[48])/8 - (1483*t[49])/288 - (1313*t[50])/72 + 
       (521*t[51])/192 + (1613*t[52])/72 + (523*t[53])/288 + 
       (8593*t[54])/144 - (101*t[59])/24 - (989*t[60])/36 - (697*t[61])/12 + 
       (31357*t[62])/288 - (7*t[63])/96 - (237*t[64])/16 + (5635*t[65])/144 + 
       (59501*t[66])/432 - (3*t[68])/2 - 6*t[69] + (7*t[72])/2 + 
       (7*t[73])/4 + 4*t[74] + 7*t[75] - (19*t[76])/4 - (8*t[77])/3 + 
       (13*t[78])/6 - (11*t[79])/6 - (27*t[80])/2 - (61*t[81])/6 + 
       (119*t[82])/9 - (139*t[83])/6 + (349*t[84])/36 + (505*t[85])/72 - 
       (899*t[86])/18 + (683*t[87])/72 + (587*t[88])/144 + (697*t[89])/48 - 
       5*t[96] - (35*t[97])/12 - 26*t[98] + 29*t[99] + 67*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*(-40*t[1] - (91*t[3])/2 - 
       (4115*t[4])/12 - (117*t[5])/4 + (1073*t[6])/12 - (109*t[7])/2 - 
       (91*t[8])/2 + (925*t[9])/12 + (1063*t[10])/24 - (473*t[11])/12 + 
       (7697*t[12])/24 - (206*t[13])/9 - (2083*t[14])/16 + (1174*t[15])/9 - 
       6*t[16] - 18*t[25] + (124*t[26])/3 + 6*t[27] + 48*t[28] + 48*t[31] - 
       36*t[35] - 60*t[36] - 10*t[37] - (76*t[38])/3 + 48*t[39] - 48*t[40] + 
       36*t[45] + 64*t[46] - 72*t[47] + (99*t[48])/4 - (3139*t[49])/24 - 
       (129*t[50])/4 + (5207*t[51])/48 + (129*t[52])/4 + (6371*t[53])/24 + 
       (341*t[54])/3 + 44*t[59] - (679*t[60])/4 + (169*t[61])/12 + 
       (4401*t[62])/8 - (5779*t[63])/24 + (2753*t[64])/24 + (2635*t[65])/12 + 
       (10895*t[66])/36 - 4*t[67] - 12*t[69] + 8*t[70] - 8*t[71] + 24*t[73] + 
       24*t[74] + 204*t[75] - (50*t[76])/3 + 48*t[77] + (160*t[78])/3 - 
       54*t[79] - 72*t[80] + (68*t[81])/3 - 36*t[82] - 334*t[83] - 
       (53*t[84])/4 - (715*t[85])/12 - 566*t[86] + (683*t[87])/12 + 
       (923*t[88])/24 + (3545*t[89])/24 + 72*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (-93*t[2] + (229*t[3])/3 + (319*t[4])/2 + (1879*t[5])/12 + 
       (9523*t[6])/24 - (1119*t[7])/2 + (1660*t[8])/3 - (2785*t[9])/6 + 
       (231*t[10])/4 - (1713*t[11])/8 - (289*t[12])/6 + (5083*t[13])/36 - 
       (1439*t[14])/6 - (703*t[15])/108 - 8*t[18] + 24*t[20] + 108*t[28] + 
       13*t[29] + 34*t[30] - 12*t[31] - (55*t[32])/3 + 70*t[33] + 
       (68*t[34])/3 - 28*t[35] - 36*t[36] + t[39]/3 - t[40]/3 - 24*t[43] + 
       (118*t[44])/3 + (6265*t[48])/24 + (87*t[49])/4 - (5587*t[50])/24 - 
       (87*t[51])/8 + (5587*t[52])/24 - (83*t[53])/4 + (2345*t[54])/8 + 
       44*t[59] - (679*t[60])/4 + (169*t[61])/12 + (4401*t[62])/8 - 
       (5779*t[63])/24 + (2753*t[64])/24 + (2635*t[65])/12 + 
       (10895*t[66])/36 - 4*t[67] - 12*t[69] + 8*t[70] - 8*t[71] + 24*t[73] + 
       24*t[74] + 204*t[75] - (50*t[76])/3 + 48*t[77] + (160*t[78])/3 - 
       54*t[79] - 72*t[80] + (68*t[81])/3 - 36*t[82] - 334*t[83] - 
       (53*t[84])/4 - (715*t[85])/12 - 566*t[86] + (683*t[87])/12 + 
       (923*t[88])/24 + (3545*t[89])/24 + 72*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (2*t[1] - (95*t[2])/6 - (1025*t[3])/12 + (557*t[4])/6 + (181*t[5])/6 + 
       54*t[6] - (554*t[7])/3 + (169*t[8])/3 - (163*t[9])/3 + 
       (829*t[10])/12 + (179*t[11])/6 - (199*t[12])/12 + (649*t[13])/12 + 
       (5869*t[14])/72 + (4793*t[15])/72 + 12*t[20] - (8*t[23])/3 + 
       (10*t[28])/3 + (17*t[29])/3 + (107*t[30])/3 + (20*t[32])/3 + 
       (59*t[33])/3 - 20*t[34] - 24*t[35] - 24*t[36] + 4*t[39] - 
       (32*t[40])/3 + t[41] - t[42] - 12*t[43] - (391*t[44])/6 + 
       (34*t[45])/3 - (34*t[47])/3 + (45*t[48])/2 + (185*t[49])/12 - 
       (33*t[50])/2 - (185*t[51])/24 + (179*t[52])/6 - (185*t[53])/12 - 
       (17*t[54])/6 + 2*t[59] - t[60]/6 + (403*t[61])/3 + (371*t[62])/3 + 
       16*t[63] - (926*t[64])/3 - (1799*t[65])/18 - (293*t[66])/6 - 4*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 - 10*t[73] + (10*t[74])/3 - 98*t[75] - 
       2*t[76] + 26*t[77] + 18*t[78] - 26*t[79] - (160*t[80])/3 + 29*t[81] - 
       (113*t[82])/3 + (278*t[83])/3 - (31*t[84])/2 - (122*t[85])/3 - 
       (926*t[86])/3 - 62*t[87] - 18*t[88] + (87*t[89])/4 + (4*t[95])/3 + 
       (4*t[96])/3 + 4*t[97] - 24*t[98] + 72*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-35*t[1])/3 - 6*t[2] - 24*t[3] + (455*t[4])/6 - 9*t[5] + 
       (413*t[6])/12 - (227*t[7])/6 - (97*t[8])/2 + 21*t[9] + (803*t[10])/6 - 
       (865*t[11])/12 - 30*t[12] - (575*t[13])/54 + (5537*t[14])/72 + 
       (575*t[15])/18 - 8*t[16] + 12*t[25] - (4*t[26])/3 + 24*t[28] + 
       24*t[31] - 24*t[35] - (88*t[36])/3 - (10*t[37])/3 - (32*t[38])/3 + 
       24*t[39] - 22*t[40] + 24*t[45] + (115*t[46])/3 - 48*t[47] + 
       (13*t[48])/12 + (63*t[49])/2 - (105*t[50])/4 - (251*t[51])/8 + 
       (73*t[52])/4 - (169*t[53])/6 + (493*t[54])/12 + 2*t[59] - t[60]/6 + 
       (403*t[61])/3 + (371*t[62])/3 + 16*t[63] - (926*t[64])/3 - 
       (1799*t[65])/18 - (293*t[66])/6 - 4*t[69] + (8*t[70])/3 - 
       (8*t[71])/3 - 10*t[73] + (10*t[74])/3 - 98*t[75] - 2*t[76] + 
       26*t[77] + 18*t[78] - 26*t[79] - (160*t[80])/3 + 29*t[81] - 
       (113*t[82])/3 + (278*t[83])/3 - (31*t[84])/2 - (122*t[85])/3 - 
       (926*t[86])/3 - 62*t[87] - 18*t[88] + (87*t[89])/4 + (4*t[95])/3 + 
       (4*t[96])/3 + 4*t[97] - 24*t[98] + 72*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[w, v, u]*((352*t[4])/9 + 
       (4*t[5])/9 - (8*t[7])/9 - (8*t[8])/9 - (4*t[9])/9 - (104*t[10])/9 + 
       (40*t[11])/3 + (4*t[12])/3 + (608*t[13])/27 - (740*t[14])/27 + 
       (178*t[15])/27 - 32*t[36] + (112*t[49])/9 + (16*t[51])/3 - 
       (112*t[53])/9 - (64*t[54])/9 + (352*t[60])/9 - (496*t[61])/9 + 
       (344*t[62])/9 - (328*t[63])/3 - (232*t[64])/9 + (1040*t[65])/27 + 
       (16*t[66])/9 + (64*t[69])/3 + 32*t[73] + (160*t[75])/3 - 32*t[79] - 
       (640*t[83])/9 + (64*t[84])/9 + (64*t[85])/9 - (32*t[86])/9 - 
       (160*t[87])/3 - (80*t[88])/3 + (184*t[89])/9 + (224*t[100])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*((97*t[1])/6 - 3*t[2] + 
       (95*t[3])/3 + (127*t[4])/12 + (593*t[5])/24 - (1037*t[6])/24 + 
       (31*t[7])/4 - (97*t[8])/4 - (511*t[9])/8 - (1049*t[10])/12 + 
       (1879*t[11])/24 + (81*t[12])/8 + (2255*t[13])/108 - 
       (14647*t[14])/144 - (2371*t[15])/144 + (8*t[16])/3 - 17*t[25] + 
       (13*t[26])/3 - 14*t[28] - 14*t[31] + 14*t[35] + (35*t[36])/3 - 
       (7*t[37])/3 + (56*t[38])/3 - 14*t[39] + 15*t[40] - 14*t[45] - 
       (11*t[46])/6 + 28*t[47] - (445*t[48])/24 - (391*t[49])/12 + 
       (467*t[50])/24 + (613*t[51])/48 - (563*t[52])/24 + (157*t[53])/12 - 
       (1529*t[54])/24 - (29*t[59])/3 + (19*t[60])/12 - (2327*t[61])/12 - 
       (309*t[62])/4 - (239*t[63])/2 + (5771*t[64])/24 + (2839*t[65])/36 + 
       (4673*t[66])/36 + (4*t[67])/3 - 4*t[69] - (8*t[70])/3 + (8*t[71])/3 + 
       5*t[73] - (2*t[74])/3 + 59*t[75] - t[76] - 13*t[77] - 6*t[78] + 
       13*t[79] + (92*t[80])/3 - (39*t[81])/2 + (113*t[82])/6 - 
       (97*t[83])/3 + (113*t[84])/12 + (173*t[85])/6 + (601*t[86])/3 + 
       (259*t[87])/6 + (421*t[88])/12 + (95*t[89])/3 - (22*t[95])/3 - 
       (20*t[96])/3 + 2*t[97] - 12*t[98] + 76*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*(t[1] + (257*t[2])/12 + 
       (295*t[3])/24 - (611*t[4])/6 - (71*t[5])/4 + (37*t[6])/3 + 
       (124*t[7])/3 + (184*t[8])/3 + (55*t[9])/3 - (29*t[10])/6 - 
       (691*t[11])/6 + (17*t[12])/2 - (6229*t[13])/72 - (445*t[14])/8 - 
       (613*t[15])/16 - (40*t[20])/3 + 8*t[22] + (10*t[23])/3 - 
       (26*t[28])/3 + 10*t[29] - (98*t[30])/3 + (19*t[32])/2 - (23*t[33])/3 + 
       (29*t[34])/3 + 24*t[35] + 14*t[36] + 2*t[37] + 2*t[39] - (2*t[40])/3 + 
       (3*t[41])/2 - (3*t[42])/2 + 7*t[43] + (23*t[44])/12 - (5*t[45])/3 + 
       (11*t[47])/3 + (107*t[48])/4 - (37*t[49])/4 - (105*t[50])/4 + 
       (37*t[51])/8 + (283*t[52])/12 + (37*t[53])/4 + (117*t[54])/2 - 
       (29*t[59])/3 + (19*t[60])/12 - (2327*t[61])/12 - (309*t[62])/4 - 
       (239*t[63])/2 + (5771*t[64])/24 + (2839*t[65])/36 + (4673*t[66])/36 + 
       (4*t[67])/3 - 4*t[69] - (8*t[70])/3 + (8*t[71])/3 + 5*t[73] - 
       (2*t[74])/3 + 59*t[75] - t[76] - 13*t[77] - 6*t[78] + 13*t[79] + 
       (92*t[80])/3 - (39*t[81])/2 + (113*t[82])/6 - (97*t[83])/3 + 
       (113*t[84])/12 + (173*t[85])/6 + (601*t[86])/3 + (259*t[87])/6 + 
       (421*t[88])/12 + (95*t[89])/3 - (22*t[95])/3 - (20*t[96])/3 + 
       2*t[97] - 12*t[98] + 76*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*((19*t[1])/4 + (745*t[3])/24 - 
       (47*t[4])/2 - (313*t[5])/48 - (169*t[6])/6 + (47*t[7])/8 - 
       (129*t[8])/8 - (65*t[9])/16 - (275*t[10])/24 - (305*t[11])/12 + 
       (901*t[12])/48 - (4271*t[13])/144 - (8141*t[14])/144 - 
       (2113*t[15])/96 - t[17] + 4*t[18] + t[20] + 4*t[21] - 2*t[22] - 
       4*t[23] + 6*t[24] - 3*t[25] + 3*t[26] + 4*t[27] - 2*t[28] - t[29] - 
       t[30] - (11*t[31])/3 - t[32] + 2*t[33] + (7*t[34])/2 - 4*t[35] - 
       2*t[36] + t[37] + (5*t[38])/2 - 2*t[39] - 2*t[40] + (5*t[41])/4 + 
       (3*t[42])/4 - (65*t[43])/6 + 7*t[44] - 5*t[45] + 7*t[46] + 4*t[47] - 
       (71*t[48])/8 + (13*t[49])/6 + (251*t[50])/24 - (31*t[51])/4 - 
       (287*t[52])/24 - (13*t[53])/6 - (479*t[54])/24 + t[58] - 4*t[59] - 
       (163*t[60])/12 - (689*t[61])/4 + (2081*t[62])/24 - (783*t[63])/8 - 
       (429*t[64])/8 + (1255*t[65])/12 + (3109*t[66])/36 + 2*t[67] - 
       2*t[68] + 4*t[69] - 8*t[70] + 8*t[71] - 30*t[72] + 28*t[73] + 
       8*t[74] + 2*t[75] + 22*t[76] - 5*t[77] - 20*t[78] + 32*t[79] + 
       13*t[80] + 3*t[81] + (22*t[82])/3 + 6*t[83] + (26*t[84])/3 + 
       (125*t[85])/6 + (190*t[86])/3 - (173*t[87])/6 - (173*t[88])/12 + 
       (79*t[89])/8 + t[92] - 4*t[93] - 2*t[94] + t[97] + 96*t[98] - 
       136*t[99] + 76*t[100]) + HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - v]*
      ((35*t[1])/2 - (177*t[2])/4 - (71*t[3])/8 + (71*t[4])/2 + 
       (427*t[5])/4 - (373*t[6])/8 - (165*t[7])/4 + (1103*t[8])/4 - 
       (313*t[9])/2 + (1121*t[10])/4 - (249*t[11])/8 - 106*t[12] - 
       (13471*t[13])/72 + 25*t[14] - (2561*t[15])/144 + 2*t[17] - 12*t[19] - 
       16*t[20] - 12*t[21] + 40*t[22] + 12*t[23] - 12*t[24] + 12*t[27] - 
       24*t[28] + (31*t[29])/2 + t[30] - 32*t[31] + (53*t[32])/2 - 17*t[33] - 
       63*t[34] + 24*t[35] + 8*t[36] - 7*t[37] + 14*t[38] + 6*t[39] + 
       7*t[40] - 10*t[41] + 10*t[42] - (59*t[43])/4 - (23*t[44])/4 + 
       93*t[45] + 6*t[46] - 107*t[47] + (983*t[48])/8 + (375*t[49])/4 - 
       (445*t[50])/8 - (473*t[51])/8 + (405*t[52])/8 - (279*t[53])/4 - 
       (613*t[54])/8 - 4*t[55] + 2*t[56] + 12*t[57] - (5*t[59])/2 - 
       (529*t[60])/4 + (89*t[61])/2 - 331*t[62] - 341*t[63] + (429*t[64])/4 - 
       (847*t[65])/12 - (349*t[66])/4 - 4*t[68] + 6*t[70] - 6*t[71] + 
       36*t[72] + 20*t[73] + 3*t[74] - 84*t[75] + 22*t[76] + 3*t[77] - 
       119*t[78] + 32*t[79] - 158*t[80] - (41*t[81])/2 + (47*t[82])/2 + 
       86*t[83] - (145*t[84])/4 - (107*t[85])/2 + 187*t[86] + 51*t[87] + 
       (157*t[88])/2 - (129*t[89])/8 + 2*t[93] - 6*t[95] + 30*t[96] + 
       23*t[97] - 12*t[98] + 78*t[100]) + HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w]*
      ((-5*t[1])/2 - (13*t[2])/2 + (185*t[3])/4 + 41*t[4] - (613*t[5])/4 - 
       (225*t[6])/2 + (887*t[7])/4 - (1271*t[8])/4 + 149*t[9] - 
       (539*t[10])/8 + (1011*t[11])/4 + (1485*t[12])/8 + (541*t[13])/24 - 
       (1897*t[14])/24 - (189*t[15])/2 + 2*t[16] - 26*t[25] + 33*t[26] + 
       12*t[27] - 6*t[29] + 2*t[30] + 2*t[31] + 12*t[32] - 12*t[33] - 
       16*t[34] - 34*t[35] + 13*t[36] + 6*t[37] + 3*t[38] + 24*t[39] - 
       5*t[40] + 8*t[41] - 8*t[42] - (71*t[43])/2 + 21*t[44] - t[45]/2 + 
       6*t[46] + 13*t[47] - (205*t[48])/2 - (437*t[49])/8 + 74*t[50] + 
       (25*t[51])/2 - 72*t[52] + (689*t[53])/8 - (133*t[54])/2 + 4*t[58] - 
       (5*t[59])/2 - (529*t[60])/4 + (89*t[61])/2 - 331*t[62] - 341*t[63] + 
       (429*t[64])/4 - (847*t[65])/12 - (349*t[66])/4 - 4*t[68] + 6*t[70] - 
       6*t[71] + 36*t[72] + 20*t[73] + 3*t[74] - 84*t[75] + 22*t[76] + 
       3*t[77] - 119*t[78] + 32*t[79] - 158*t[80] - (41*t[81])/2 + 
       (47*t[82])/2 + 86*t[83] - (145*t[84])/4 - (107*t[85])/2 + 187*t[86] + 
       51*t[87] + (157*t[88])/2 - (129*t[89])/8 + 2*t[93] - 6*t[95] + 
       30*t[96] + 23*t[97] - 12*t[98] + 78*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (t[2]/4 + (1357*t[3])/24 + (28*t[4])/3 + (433*t[5])/24 - 
       (421*t[6])/12 + (185*t[7])/12 - (773*t[8])/12 - (105*t[9])/8 + 
       21*t[10] + (73*t[11])/6 - (505*t[12])/24 + (229*t[13])/72 - 
       (2845*t[14])/72 + (68*t[15])/9 - 2*t[18] - 14*t[20] + 14*t[22] + 
       6*t[28] + (7*t[29])/2 + (53*t[30])/3 - 4*t[31] + (73*t[32])/6 - 
       9*t[33] - (32*t[34])/3 - 14*t[35] - 4*t[36] - 2*t[37] - t[41] + 
       t[42] - 2*t[43] + (49*t[44])/4 + 2*t[46] - 2*t[47] - (85*t[48])/6 + 
       (59*t[49])/6 + (149*t[50])/6 - (41*t[51])/12 - (149*t[52])/6 - 
       (59*t[53])/6 - (181*t[54])/4 - 3*t[59] - (1507*t[60])/12 - 
       (887*t[61])/12 + (34*t[62])/3 + (213*t[63])/4 - (869*t[64])/24 + 
       (77*t[65])/12 + (1711*t[66])/36 - 3*t[67] - 10*t[69] + (14*t[70])/3 - 
       (14*t[71])/3 - 4*t[72] - 4*t[73] - (8*t[74])/3 - 10*t[75] - 10*t[79] + 
       2*t[80] - t[81]/2 - (7*t[82])/2 + 16*t[83] - (123*t[84])/4 - 
       (125*t[85])/6 - 10*t[86] + 59*t[87] + (131*t[88])/6 - (155*t[89])/6 + 
       (4*t[95])/3 + 24*t[99] + 82*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*(6*t[1] + (22*t[3])/3 - (799*t[4])/12 - 
       (221*t[5])/12 - (253*t[6])/8 - (43*t[7])/3 - 65*t[8] - (143*t[9])/12 + 
       (167*t[10])/6 - (1585*t[11])/24 - (35*t[12])/4 - (1565*t[13])/36 - 
       (1565*t[14])/144 - (653*t[15])/72 + 2*t[16] - 17*t[25] + 
       (17*t[26])/3 + 2*t[27] - 2*t[29] + (8*t[36])/3 - (50*t[37])/3 + 
       6*t[38] - (11*t[46])/2 - (141*t[48])/8 + (127*t[49])/12 + 
       (121*t[50])/24 + (221*t[51])/48 - (121*t[52])/24 - (85*t[53])/12 + 
       (131*t[54])/8 - 3*t[59] - (1507*t[60])/12 - (887*t[61])/12 + 
       (34*t[62])/3 + (213*t[63])/4 - (869*t[64])/24 + (77*t[65])/12 + 
       (1711*t[66])/36 - 3*t[67] - 10*t[69] + (14*t[70])/3 - (14*t[71])/3 - 
       4*t[72] - 4*t[73] - (8*t[74])/3 - 10*t[75] - 10*t[79] + 2*t[80] - 
       t[81]/2 - (7*t[82])/2 + 16*t[83] - (123*t[84])/4 - (125*t[85])/6 - 
       10*t[86] + 59*t[87] + (131*t[88])/6 - (155*t[89])/6 + (4*t[95])/3 + 
       24*t[99] + 82*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-7*t[1])/6 + (169*t[2])/12 - 34*t[3] - 
       (37*t[4])/12 + (29*t[5])/24 + (227*t[6])/12 + (119*t[7])/6 - 
       (19*t[8])/6 + (199*t[9])/8 + (295*t[10])/24 - (287*t[11])/6 + 
       t[12]/12 - (2591*t[13])/108 + (3161*t[14])/144 - (379*t[15])/432 + 
       (3*t[17])/2 - 4*t[19] + 8*t[20] + 4*t[21] - 2*t[22] - (10*t[23])/3 - 
       (2*t[24])/3 + (4*t[27])/3 - 3*t[28] + (103*t[29])/6 + (47*t[30])/3 - 
       (5*t[32])/2 - (4*t[33])/3 + (50*t[34])/3 + 4*t[35] - 2*t[36] + 
       6*t[37] - t[38] - 8*t[39] + (20*t[40])/3 - (5*t[41])/6 - (7*t[42])/6 - 
       (3*t[43])/2 + t[44]/12 - 16*t[45] + t[46]/6 + (32*t[47])/3 + 
       14*t[48] + (55*t[49])/8 + 10*t[50] - (77*t[51])/16 - (23*t[52])/3 - 
       (197*t[53])/24 + (115*t[54])/12 - 5*t[59] + (59*t[60])/3 - 
       (194*t[61])/3 + (459*t[62])/8 + (935*t[63])/24 - (587*t[64])/12 + 
       (443*t[65])/18 + (2099*t[66])/18 - (4*t[68])/3 + 2*t[69] - 
       (2*t[70])/3 + (2*t[71])/3 - 2*t[73] - (2*t[74])/3 + 3*t[75] + 
       (28*t[76])/3 + (8*t[77])/3 + (8*t[78])/3 + 4*t[79] - 3*t[80] + 
       t[81]/3 + 5*t[82] + 4*t[83] + (13*t[84])/3 + (85*t[85])/3 - 16*t[86] - 
       (28*t[87])/3 - 4*t[88] + (237*t[89])/8 + (5*t[90])/3 - (2*t[95])/3 - 
       (4*t[96])/3 - (5*t[97])/3 + 56*t[98] - 42*t[99] + 83*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((13*t[1])/2 + (7*t[2])/6 + (95*t[3])/6 + (8*t[4])/3 + 5*t[5] - 
       (20*t[6])/3 + (13*t[7])/2 - (148*t[8])/3 + (199*t[9])/12 + 
       (25*t[10])/6 - (523*t[11])/12 - (89*t[12])/3 - (1421*t[13])/54 - 
       (3673*t[14])/144 - (119*t[15])/24 - (2*t[19])/3 - 5*t[25] - 2*t[26] + 
       2*t[27] + t[28] + 5*t[31] + 2*t[32] - 2*t[33] + (4*t[34])/3 - 
       t[36]/3 - t[37] + (19*t[38])/3 + (5*t[39])/3 - 4*t[40] - (2*t[41])/3 + 
       (2*t[42])/3 + 4*t[43] + 2*t[44] + 3*t[45] + (41*t[46])/6 - 4*t[47] - 
       (185*t[48])/12 - (53*t[49])/12 + (83*t[50])/12 - (71*t[51])/16 - 
       (91*t[52])/12 + (49*t[53])/4 - (47*t[54])/4 - t[58]/3 - 5*t[59] + 
       (59*t[60])/3 - (194*t[61])/3 + (459*t[62])/8 + (935*t[63])/24 - 
       (587*t[64])/12 + (443*t[65])/18 + (2099*t[66])/18 - (4*t[68])/3 + 
       2*t[69] - (2*t[70])/3 + (2*t[71])/3 - 2*t[73] - (2*t[74])/3 + 
       3*t[75] + (28*t[76])/3 + (8*t[77])/3 + (8*t[78])/3 + 4*t[79] - 
       3*t[80] + t[81]/3 + 5*t[82] + 4*t[83] + (13*t[84])/3 + (85*t[85])/3 - 
       16*t[86] - (28*t[87])/3 - 4*t[88] + (237*t[89])/8 + (5*t[90])/3 - 
       (2*t[95])/3 - (4*t[96])/3 - (5*t[97])/3 + 56*t[98] - 42*t[99] + 
       83*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - w]*(t[1]/3 + (14*t[2])/3 + (17*t[3])/12 + 
       (323*t[4])/12 - (16*t[5])/3 + (103*t[6])/24 - (10*t[7])/3 + 
       (23*t[8])/6 + (35*t[9])/12 - (149*t[10])/12 + (43*t[11])/8 - 
       17*t[12] + (5333*t[13])/216 - (1783*t[14])/144 - (151*t[15])/36 + 
       t[16] + (10*t[25])/3 - (11*t[26])/3 + (4*t[34])/3 + (7*t[36])/3 - 
       5*t[37] + t[38]/3 - (7*t[39])/3 - (4*t[40])/3 - (2*t[41])/3 + 
       (2*t[42])/3 - (2*t[45])/3 + (2*t[46])/3 + (4*t[47])/3 + 
       (35*t[48])/24 - (20*t[49])/3 + (247*t[50])/24 - (125*t[51])/48 - 
       (151*t[52])/24 - (7*t[53])/3 - (409*t[54])/24 + (4*t[58])/3 - 
       (41*t[59])/6 + (509*t[60])/12 - (169*t[61])/4 + (385*t[62])/12 - 
       (707*t[63])/12 - (1297*t[64])/24 + (205*t[65])/6 + (55*t[66])/3 - 
       17*t[69] + (19*t[70])/3 - (19*t[71])/3 - 8*t[73] + (2*t[74])/3 + 
       t[75] - (25*t[76])/3 - (4*t[77])/3 + (16*t[78])/3 + 3*t[79] - 
       (22*t[80])/3 - (7*t[81])/3 + t[82] - (20*t[83])/3 + (167*t[84])/6 + 
       15*t[85] - t[86] + t[87]/2 + (65*t[88])/12 + (187*t[89])/6 - 
       (4*t[95])/3 - 6*t[96] - 4*t[97] - 64*t[98] + 56*t[99] + 
       (175*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-3*t[1] + (9*t[2])/2 - 4*t[3] - 18*t[4] + 
       (39*t[5])/4 + 25*t[6] - 33*t[7] + 28*t[8] - (193*t[9])/4 + 
       (7*t[10])/4 - 44*t[11] + 2*t[12] - (431*t[13])/24 - (61*t[14])/24 + 
       (235*t[15])/24 + 3*t[20] - 3*t[22] + 2*t[28] - 8*t[29] - 4*t[30] + 
       10*t[31] - 3*t[32] + 6*t[33] + t[35] + 6*t[36] + 6*t[37] + t[43]/2 - 
       t[44] + (45*t[48])/4 - (37*t[49])/4 - (69*t[50])/4 + (25*t[51])/8 + 
       (69*t[52])/4 + (37*t[53])/4 + (91*t[54])/4 - (109*t[60])/4 - 
       (57*t[61])/4 + (155*t[62])/4 + (381*t[63])/4 - (19*t[64])/8 + 
       (253*t[65])/6 + (191*t[66])/2 - 4*t[69] - 6*t[72] - 15*t[73] + 
       3*t[74] + 4*t[75] + 3*t[77] + 3*t[78] - 17*t[79] - 18*t[80] + 
       2*t[81] - 10*t[82] + 27*t[83] - (23*t[84])/4 + (29*t[85])/4 - 
       63*t[86] + (105*t[87])/4 + (105*t[88])/8 + (231*t[89])/8 - 6*t[99] + 
       90*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((61*t[1])/6 - (91*t[2])/3 + (91*t[3])/4 + 
       (353*t[4])/12 + (1461*t[5])/16 - 81*t[6] - (535*t[7])/4 - 
       (52*t[8])/3 - (5737*t[9])/48 + (2311*t[10])/24 - (681*t[11])/8 - 
       (3773*t[12])/48 + (1985*t[13])/108 - (2165*t[14])/24 - 
       (7615*t[15])/288 + 4*t[17] - 2*t[19] - 16*t[20] + 2*t[21] + 8*t[22] - 
       2*t[23] + 8*t[24] - 15*t[26] + (28*t[27])/3 + (10*t[28])/3 - 
       (5*t[29])/6 + (40*t[30])/3 + (92*t[31])/3 + 8*t[33] - (23*t[34])/3 + 
       30*t[35] + 4*t[36] - 2*t[37] + (46*t[38])/3 - 2*t[39] + (33*t[40])/2 - 
       t[41]/6 + t[42]/6 + (83*t[43])/24 + (61*t[44])/12 + (53*t[45])/2 + 
       t[46] - 43*t[47] + (2*t[48])/3 + (331*t[49])/8 - (262*t[50])/3 - 
       (171*t[51])/16 + (149*t[52])/3 - (673*t[53])/24 - (65*t[54])/12 + 
       t[55] + t[56] + 2*t[57] - 5*t[58] - (26*t[59])/3 - (115*t[60])/4 - 
       (231*t[61])/2 + (1609*t[62])/24 + (871*t[63])/24 + (130*t[64])/3 - 
       (523*t[65])/9 + (569*t[66])/18 - 8*t[68] - (70*t[72])/3 + 26*t[73] + 
       8*t[74] - 10*t[75] + (269*t[76])/3 + (44*t[77])/3 - (289*t[78])/3 - 
       10*t[79] - (41*t[80])/3 - (16*t[81])/3 + 26*t[82] + 14*t[83] - 
       (937*t[84])/12 + (559*t[85])/12 - (631*t[86])/6 - (55*t[87])/6 - 
       (55*t[88])/12 + (1693*t[89])/24 - t[91]/6 - 2*t[93] + 20*t[96] + 
       (52*t[97])/3 + 460*t[98] - 472*t[99] + 92*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*(-24*t[2] + 56*t[3] - 
       135*t[4] + 34*t[5] - (217*t[6])/8 - (49*t[7])/2 + (11*t[8])/2 - 
       (165*t[9])/2 - 12*t[10] - (341*t[11])/8 + (143*t[12])/4 - 
       (299*t[13])/4 - (356*t[14])/3 + (923*t[15])/36 + 7*t[16] - 35*t[25] + 
       35*t[26] + 31*t[29] - 4*t[30] - 24*t[34] + 4*t[36] + 8*t[39] - 
       8*t[40] - (9*t[44])/2 + (53*t[46])/2 + (175*t[48])/8 - 57*t[49] + 
       (127*t[50])/8 + (39*t[51])/8 - (127*t[52])/8 + 60*t[53] - 
       (15*t[54])/8 + 8*t[59] - (933*t[60])/4 - (201*t[61])/2 + 
       (331*t[62])/8 + (407*t[63])/8 + (973*t[64])/4 + (667*t[65])/6 + 
       (1907*t[66])/6 + 11*t[69] - 48*t[73] + 52*t[75] + 28*t[76] - 
       36*t[78] + 4*t[79] - (49*t[81])/2 + (17*t[82])/2 + (105*t[83])/2 - 
       30*t[84] - (103*t[85])/4 + 38*t[86] + (427*t[87])/4 + (307*t[88])/8 + 
       (137*t[89])/4 + (189*t[100])/2) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-16*t[1] + (9*t[2])/4 + (71*t[3])/2 - 
       74*t[4] + (167*t[5])/8 + (25*t[6])/2 - 42*t[7] + (143*t[8])/2 - 
       (857*t[9])/8 + (75*t[10])/2 - (497*t[11])/4 + (351*t[12])/8 - 
       (349*t[13])/6 - (773*t[14])/12 + (685*t[15])/48 - (2*t[19])/3 - 
       3*t[20] + 3*t[22] + 16*t[26] - 42*t[28] - 20*t[29] + 24*t[30] - 
       3*t[32] + 3*t[33] + 28*t[35] + 2*t[37] - 16*t[38] + 24*t[44] + 
       15*t[48] - 11*t[49] - 27*t[50] - (3*t[51])/8 + 27*t[52] + 9*t[53] + 
       64*t[54] + 8*t[59] - (933*t[60])/4 - (201*t[61])/2 + (331*t[62])/8 + 
       (407*t[63])/8 + (973*t[64])/4 + (667*t[65])/6 + (1907*t[66])/6 + 
       11*t[69] - 48*t[73] + 52*t[75] + 28*t[76] - 36*t[78] + 4*t[79] - 
       (49*t[81])/2 + (17*t[82])/2 + (105*t[83])/2 - 30*t[84] - 
       (103*t[85])/4 + 38*t[86] + (427*t[87])/4 + (307*t[88])/8 + 
       (137*t[89])/4 + (189*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((163*t[1])/6 - (31*t[2])/6 + (35*t[3])/6 + 
       (49*t[4])/12 + (479*t[5])/24 - (113*t[6])/8 + (19*t[7])/6 + 
       (23*t[8])/6 - (295*t[9])/24 - (269*t[10])/12 - (199*t[11])/24 - 
       (1201*t[12])/24 - (155*t[13])/54 - (139*t[14])/16 - (665*t[15])/144 - 
       (11*t[16])/3 + 5*t[25] - (80*t[26])/3 + (2*t[27])/3 - (10*t[28])/3 - 
       (2*t[29])/3 + (2*t[30])/3 + (10*t[31])/3 - t[34]/3 + 8*t[35] - 
       (5*t[36])/3 + 5*t[37] + 24*t[38] - 2*t[39] + 4*t[40] + t[41]/6 - 
       t[42]/6 + (2*t[43])/3 + (2*t[44])/3 - 4*t[45] - (4*t[46])/3 + 
       8*t[47] - (275*t[48])/24 + (2*t[49])/3 - (251*t[50])/24 + 
       (589*t[51])/48 + (33*t[52])/8 - (17*t[53])/6 + (533*t[54])/24 - 
       t[58] - (95*t[59])/6 + (449*t[60])/12 - 20*t[61] - (317*t[62])/6 + 
       (161*t[63])/6 + (346*t[64])/3 - (183*t[65])/4 + (215*t[66])/36 + 
       (5*t[67])/3 - 11*t[69] + t[70]/3 - t[71]/3 - (8*t[72])/3 - 
       (13*t[74])/3 - 10*t[75] + 7*t[76] - (2*t[77])/3 - 4*t[78] - 6*t[79] + 
       8*t[80] + (23*t[81])/6 + (13*t[82])/6 + 29*t[83] - (85*t[84])/4 - 
       11*t[85] + (62*t[86])/3 - (61*t[87])/6 - (65*t[88])/12 - 
       (169*t[89])/8 + (10*t[95])/3 + (4*t[96])/3 + (11*t[97])/3 + 48*t[98] - 
       72*t[99] + 97*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*(-t[1]/3 + (301*t[2])/12 - 
       (1571*t[3])/36 + (179*t[4])/12 + (691*t[5])/144 + (8477*t[6])/144 - 
       (4465*t[7])/72 + (8279*t[8])/72 - (191*t[9])/48 + (313*t[10])/18 - 
       (6511*t[11])/144 - (1609*t[12])/144 + (805*t[13])/216 + 
       (10553*t[14])/432 + (22621*t[15])/864 + 3*t[20] - t[22] + 
       (4*t[23])/3 + (215*t[28])/18 + (193*t[29])/18 - (23*t[30])/9 - 
       (2*t[31])/3 + t[32]/6 + 4*t[33] - (2*t[34])/3 - (37*t[35])/3 - 
       6*t[36] - t[37]/3 - t[38]/2 - (5*t[39])/3 + (7*t[40])/6 - 
       (2*t[41])/3 + (2*t[42])/3 - (8*t[43])/3 - (803*t[44])/36 + 2*t[45] - 
       t[46]/2 - (10*t[47])/3 + (1805*t[48])/48 + (41*t[49])/24 - 
       (3761*t[50])/144 - (71*t[51])/48 + (4049*t[52])/144 - (89*t[53])/24 + 
       (5993*t[54])/144 - (11*t[59])/4 - (73*t[60])/72 - (1187*t[61])/72 + 
       (20771*t[62])/144 - (461*t[63])/48 - (18703*t[64])/144 + 
       (9919*t[65])/216 + (3973*t[66])/72 + (4*t[70])/3 - (4*t[71])/3 - 
       (5*t[72])/3 - t[73]/2 + (31*t[74])/3 + (77*t[75])/6 - (29*t[76])/6 + 
       (23*t[77])/3 + (59*t[78])/6 + (3*t[79])/2 - 15*t[80] + (19*t[81])/6 - 
       (7*t[82])/2 - (683*t[83])/18 + (887*t[84])/72 + (557*t[85])/72 - 
       (2485*t[86])/18 - (413*t[87])/24 - (349*t[88])/48 + (6253*t[89])/144 - 
       (8*t[95])/3 - (13*t[96])/3 - (7*t[97])/6 - 32*t[98] + 24*t[99] + 
       (595*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((49*t[1])/12 + t[2]/4 + t[3]/6 + (343*t[4])/24 + 
       (403*t[5])/48 + (175*t[6])/24 - (557*t[7])/24 - (845*t[8])/24 - 
       (125*t[9])/16 + (535*t[10])/48 - (113*t[11])/6 - (349*t[12])/24 + 
       (3817*t[13])/216 - (10297*t[14])/288 + (4369*t[15])/288 - t[19] - 
       3*t[25] - (8*t[26])/3 - 2*t[27] + 8*t[28] + t[29] + 8*t[31] + 
       (3*t[34])/2 - 7*t[35] - (19*t[36])/2 + t[37]/3 + (31*t[38])/6 + 
       (37*t[39])/6 - (22*t[40])/3 - (3*t[41])/4 + (3*t[42])/4 + 
       (19*t[45])/3 + (25*t[46])/6 - (38*t[47])/3 + (5*t[48])/8 - 
       (135*t[49])/16 - (29*t[50])/24 + (169*t[51])/32 - (23*t[52])/24 - 
       (83*t[53])/48 - (109*t[54])/12 - (11*t[59])/4 + (29*t[60])/24 - 
       (143*t[61])/8 + (6877*t[62])/48 - (841*t[63])/48 - (6161*t[64])/48 + 
       (3433*t[65])/72 + (3793*t[66])/72 + (5*t[69])/3 + (4*t[70])/3 - 
       (4*t[71])/3 + (7*t[73])/6 + (31*t[74])/3 + (29*t[75])/2 - 
       (29*t[76])/6 + (23*t[77])/3 + (59*t[78])/6 - t[79]/6 - 15*t[80] + 
       (19*t[81])/6 - (7*t[82])/2 - 36*t[83] + (103*t[84])/8 + 
       (199*t[85])/24 - (805*t[86])/6 - (493*t[87])/24 - (143*t[88])/16 + 
       (697*t[89])/16 - (8*t[95])/3 - (13*t[96])/3 - (7*t[97])/6 - 32*t[98] + 
       24*t[99] + 100*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]^2*
      (2*t[1] - t[2]/2 + (99*t[3])/4 - (29*t[4])/4 + (85*t[5])/8 - 
       (185*t[6])/8 + t[7]/8 - (165*t[8])/8 - 16*t[9] - (23*t[10])/4 - 
       (79*t[11])/2 + t[12] + (1111*t[13])/144 - (2371*t[14])/48 - 
       (59*t[15])/3 + t[16] + 2*t[18] - 4*t[19] + 3*t[20] + 5*t[21] - 
       5*t[23] + 4*t[24] - 2*t[25] + 2*t[26] + 2*t[27] - 4*t[29] - 2*t[30] + 
       3*t[31] + 2*t[33] + 2*t[34] + 2*t[36] - t[38] - 2*t[39] - t[41] + 
       2*t[42] - (33*t[43])/8 + t[44] - (43*t[45])/4 + (5*t[46])/2 + 
       (51*t[47])/2 - (13*t[48])/4 - (23*t[49])/8 - (11*t[50])/4 + 
       (9*t[51])/16 + (7*t[52])/4 + (23*t[53])/8 - 11*t[54] + t[58] - 
       3*t[59] - (91*t[60])/4 - (625*t[61])/4 + (115*t[62])/8 - 
       (799*t[63])/8 + (571*t[64])/8 + (173*t[65])/4 + (257*t[66])/12 - 
       t[67] - 4*t[68] + 3*t[69] - 3*t[70] + 3*t[71] - 6*t[72] - 4*t[74] + 
       10*t[76] + 4*t[77] - 22*t[78] + 28*t[80] - 6*t[81] + 10*t[82] - 
       (69*t[84])/4 + (89*t[85])/4 + 37*t[86] + (57*t[87])/4 + (57*t[88])/8 + 
       (383*t[89])/8 + 48*t[98] - 78*t[99] + (201*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]^2*(t[1] - (25*t[2])/2 + 
       (19*t[3])/2 - 29*t[4] + (129*t[5])/8 - (25*t[6])/2 - (63*t[7])/8 - 
       (17*t[8])/8 - (21*t[9])/4 + (17*t[10])/8 - (337*t[11])/8 + 
       (3*t[12])/8 + (1903*t[13])/144 - (445*t[14])/12 - (305*t[15])/24 + 
       t[16] + 2*t[17] - 2*t[19] + 3*t[20] + 4*t[21] - 4*t[23] + t[24] - 
       2*t[25] + 2*t[26] + 2*t[27] - 4*t[29] - 2*t[30] + 6*t[31] + 2*t[33] + 
       3*t[34] + 2*t[36] + t[38] - 2*t[39] + 2*t[41] - t[42] - (5*t[43])/8 + 
       t[44] - (31*t[45])/4 + (7*t[46])/2 + (31*t[47])/2 - (51*t[48])/8 - 
       (21*t[49])/4 - (47*t[50])/8 + t[51] + (31*t[52])/8 + (21*t[53])/4 - 
       (45*t[54])/8 + t[58] - 3*t[59] - (91*t[60])/4 - (625*t[61])/4 + 
       (115*t[62])/8 - (799*t[63])/8 + (571*t[64])/8 + (173*t[65])/4 + 
       (257*t[66])/12 - t[67] - 4*t[68] + 3*t[69] - 3*t[70] + 3*t[71] - 
       6*t[72] - 4*t[74] + 10*t[76] + 4*t[77] - 22*t[78] + 28*t[80] - 
       6*t[81] + 10*t[82] - (69*t[84])/4 + (89*t[85])/4 + 37*t[86] + 
       (57*t[87])/4 + (57*t[88])/8 + (383*t[89])/8 + 48*t[98] - 78*t[99] + 
       (201*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - v]*((3*t[2])/2 - (19*t[3])/8 - (161*t[4])/12 - 
       (249*t[5])/8 + (58*t[6])/3 + (3*t[7])/2 + (253*t[8])/6 + 
       (1363*t[9])/24 - (7*t[10])/24 - (149*t[11])/3 + (23*t[12])/6 - 
       (1775*t[13])/108 - (313*t[14])/144 - (2431*t[15])/216 + (8*t[20])/3 - 
       5*t[24] + (11*t[28])/3 + 7*t[29] - (47*t[30])/3 + 15*t[31] + 
       (28*t[32])/3 - t[33] - (10*t[34])/3 + 44*t[35] + (2*t[37])/3 + 
       (4*t[38])/3 + (2*t[39])/3 + t[40]/6 - (2*t[41])/3 + (2*t[42])/3 + 
       t[43]/3 - (53*t[44])/4 + 5*t[45] - (13*t[47])/3 + (25*t[48])/6 - 
       (65*t[49])/8 - (26*t[50])/3 + (227*t[51])/48 + (32*t[52])/3 + 
       (33*t[53])/8 + (100*t[54])/3 - (11*t[59])/6 + (166*t[60])/3 - 
       (238*t[61])/3 + (665*t[62])/24 - (763*t[63])/8 - (169*t[64])/3 + 
       (745*t[65])/18 + (175*t[66])/6 + 3*t[69] + (4*t[70])/3 - (4*t[71])/3 + 
       10*t[72] + 7*t[73] - (13*t[74])/3 + 16*t[75] - (25*t[76])/3 - 
       (4*t[77])/3 + (16*t[78])/3 - 12*t[79] - (22*t[80])/3 - (29*t[81])/6 + 
       (7*t[82])/2 + (35*t[83])/6 + (187*t[84])/6 + (275*t[85])/12 + 
       34*t[86] - (269*t[87])/12 - (145*t[88])/24 + (743*t[89])/24 - 
       (4*t[95])/3 - 6*t[96] - 4*t[97] - 64*t[98] + 56*t[99] + 
       (205*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((17*t[1])/6 + (2323*t[2])/24 - (517*t[3])/6 - (5*t[4])/4 - 
       (2299*t[5])/24 - (1645*t[6])/96 + (1781*t[7])/8 + (4147*t[8])/24 + 
       (2495*t[9])/48 - (597*t[10])/8 + (8029*t[11])/96 - (43*t[12])/4 - 
       (3265*t[13])/108 + (6989*t[14])/288 + (79759*t[15])/864 - 
       (9*t[17])/2 + 7*t[20] - 3*t[22] + t[23]/3 - 24*t[24] - 9*t[27] - 
       31*t[28] + (163*t[29])/6 - (199*t[30])/4 + (39*t[31])/2 + 
       (355*t[32])/12 - (623*t[33])/12 - (29*t[34])/6 + 93*t[35] + 
       (63*t[36])/2 + (5*t[37])/2 + 8*t[38] + (131*t[39])/12 + (35*t[40])/4 - 
       (73*t[41])/12 + (73*t[42])/12 + (41*t[43])/4 - (217*t[44])/4 - 
       (175*t[45])/4 - (9*t[46])/4 + (235*t[47])/4 + (2213*t[48])/96 - 
       (399*t[49])/8 + (6349*t[50])/96 + (145*t[51])/4 - (2383*t[52])/32 + 
       (343*t[53])/8 - (1561*t[54])/96 - (243*t[59])/8 + (9701*t[60])/48 - 
       (1271*t[61])/48 - (3749*t[62])/32 - (15073*t[63])/96 - 
       (23227*t[64])/96 + (4273*t[65])/48 - (5873*t[66])/48 + 3*t[68] + 
       18*t[69] - (3*t[70])/2 + (3*t[71])/2 + 51*t[72] - 57*t[73] - 
       (32*t[74])/3 + (363*t[75])/2 - (1049*t[76])/12 - (299*t[77])/12 + 
       134*t[78] - (609*t[79])/4 - (63*t[80])/2 - (57*t[81])/2 - 8*t[82] - 
       (257*t[83])/4 + (865*t[84])/16 + (809*t[85])/48 + (257*t[86])/2 - 
       (1979*t[87])/48 - (1459*t[88])/96 - (5969*t[89])/96 + 9*t[93] - 
       (26*t[95])/3 - 10*t[96] - (151*t[97])/12 - 420*t[98] + 435*t[99] + 
       (207*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((569*t[1])/24 + (205*t[2])/8 + (181*t[3])/12 + (5849*t[4])/48 - 
       (607*t[5])/8 - (279*t[6])/8 + (275*t[7])/12 - (251*t[8])/3 + 
       (497*t[9])/8 - (1813*t[10])/32 + (23*t[11])/8 + (529*t[12])/96 + 
       (32293*t[13])/432 + (22793*t[14])/576 - (8149*t[15])/288 + 3*t[16] - 
       4*t[19] - 3*t[25] - (129*t[26])/4 - (9*t[27])/2 + 42*t[31] + 3*t[32] - 
       3*t[33] + (9*t[34])/4 + 45*t[35] + (86*t[36])/3 + (51*t[37])/2 + 
       (71*t[38])/2 - (19*t[39])/2 + (28*t[40])/3 - (9*t[41])/8 + 
       (9*t[42])/8 - (21*t[43])/4 + 12*t[44] - (31*t[45])/4 - (85*t[46])/2 + 
       (37*t[47])/2 - (121*t[48])/4 - (4057*t[49])/96 + (389*t[50])/12 + 
       (11299*t[51])/192 - 26*t[52] + (697*t[53])/96 - (281*t[54])/48 + 
       (7*t[58])/4 - (243*t[59])/8 + (9701*t[60])/48 - (1271*t[61])/48 - 
       (3749*t[62])/32 - (15073*t[63])/96 - (23227*t[64])/96 + 
       (4273*t[65])/48 - (5873*t[66])/48 + 3*t[68] + 18*t[69] - (3*t[70])/2 + 
       (3*t[71])/2 + 51*t[72] - 57*t[73] - (32*t[74])/3 + (363*t[75])/2 - 
       (1049*t[76])/12 - (299*t[77])/12 + 134*t[78] - (609*t[79])/4 - 
       (63*t[80])/2 - (57*t[81])/2 - 8*t[82] - (257*t[83])/4 + 
       (865*t[84])/16 + (809*t[85])/48 + (257*t[86])/2 - (1979*t[87])/48 - 
       (1459*t[88])/96 - (5969*t[89])/96 + 9*t[93] - (26*t[95])/3 - 
       10*t[96] - (151*t[97])/12 - 420*t[98] + 435*t[99] + (207*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (4*t[1] + (3*t[2])/2 + t[3]/2 + (19*t[4])/6 - (7*t[5])/12 - 
       (127*t[6])/16 - (151*t[7])/12 - (37*t[8])/12 - (463*t[9])/24 + 
       (199*t[10])/6 - (889*t[11])/16 - (139*t[12])/4 - (2225*t[13])/72 - 
       (2449*t[14])/144 - (89*t[15])/48 + 2*t[16] - 10*t[25] + 6*t[26] + 
       3*t[27] + 2*t[28] + 3*t[29] + t[30] - 2*t[31] - 2*t[35] - 13*t[36] + 
       2*t[37] + 4*t[38] + t[39]/2 - t[40]/2 - (15*t[44])/2 - 2*t[45] - 
       (7*t[46])/2 + 4*t[47] - (157*t[48])/16 + (23*t[49])/3 + 
       (99*t[50])/16 + (27*t[51])/8 - (99*t[52])/16 - (20*t[53])/3 + 
       (43*t[54])/48 - t[59] - (323*t[60])/24 - (1777*t[61])/24 - 
       (707*t[62])/48 + (405*t[63])/16 + (1555*t[64])/48 - (1477*t[65])/72 + 
       (753*t[66])/8 + 8*t[69] - 2*t[72] - 25*t[73] - 4*t[74] + 61*t[75] + 
       2*t[77] + 2*t[78] - 31*t[79] + (3*t[81])/2 - (9*t[82])/2 + 
       (19*t[83])/3 - (533*t[84])/24 - (383*t[85])/24 + (59*t[86])/3 + 
       (79*t[87])/8 - (17*t[88])/16 + (557*t[89])/48 + 36*t[98] - 36*t[99] + 
       (215*t[100])/2) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-30*t[3] - (91*t[4])/4 + (9*t[5])/4 - 25*t[6] - (61*t[7])/2 - 
       (15*t[8])/2 - (181*t[9])/4 + (309*t[10])/8 - 37*t[11] - (93*t[12])/8 - 
       (129*t[13])/4 + (685*t[14])/16 + (625*t[15])/12 - 16*t[28] - 
       48*t[29] + 48*t[30] - 4*t[44] - 45*t[48] - (5*t[49])/8 + 21*t[50] + 
       (5*t[51])/16 - 21*t[52] + (5*t[53])/8 - (25*t[54])/4 - (507*t[60])/4 + 
       (165*t[61])/4 + (503*t[62])/8 + (1377*t[63])/8 - (227*t[64])/8 + 
       (59*t[65])/12 + (1877*t[66])/12 - 72*t[73] + 32*t[75] - 10*t[79] + 
       t[81] - t[82] + 166*t[83] - (139*t[84])/4 - (137*t[85])/4 - 82*t[86] + 
       (433*t[87])/4 + (433*t[88])/8 - (45*t[89])/8 - 12*t[99] + 
       108*t[100]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (4*t[3] - 40*t[4] + (79*t[5])/4 - (45*t[6])/8 - (49*t[7])/2 - 
       (65*t[8])/2 - (61*t[9])/2 + (55*t[10])/2 - (603*t[11])/8 - 
       (281*t[12])/4 - (191*t[13])/4 + (75*t[14])/8 + t[15]/2 - 10*t[36] + 
       t[46] + (9*t[48])/8 + 10*t[49] + (73*t[50])/8 - (13*t[51])/4 - 
       (73*t[52])/8 - 10*t[53] + (119*t[54])/8 - (507*t[60])/4 + 
       (165*t[61])/4 + (503*t[62])/8 + (1377*t[63])/8 - (227*t[64])/8 + 
       (59*t[65])/12 + (1877*t[66])/12 - 72*t[73] + 32*t[75] - 10*t[79] + 
       t[81] - t[82] + 166*t[83] - (139*t[84])/4 - (137*t[85])/4 - 82*t[86] + 
       (433*t[87])/4 + (433*t[88])/8 - (45*t[89])/8 - 12*t[99] + 
       108*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*((385*t[2])/12 + (179*t[3])/24 - (99*t[4])/4 + 
       (1175*t[5])/24 - (1963*t[6])/48 - (113*t[7])/3 - (146*t[8])/3 - 
       (883*t[9])/12 - (223*t[10])/24 + (311*t[11])/48 + 5*t[12] - 
       (79*t[13])/12 - (1021*t[14])/36 - (6949*t[15])/432 + 5*t[18] + 
       19*t[20] - 9*t[22] - 2*t[28] - 9*t[29] + (38*t[30])/3 + (43*t[32])/6 - 
       6*t[33] + (20*t[34])/3 + 4*t[35] + 2*t[36] - t[39]/2 + t[41] - t[42] + 
       t[43] - (31*t[44])/12 + (8*t[45])/3 - t[46] - (2*t[47])/3 - 
       (761*t[48])/48 - (73*t[49])/24 - (137*t[50])/48 + (109*t[51])/48 + 
       (137*t[52])/48 + (73*t[53])/24 - (1339*t[54])/48 - 16*t[59] + 
       (469*t[60])/24 - (423*t[61])/8 - (2105*t[62])/48 + (259*t[63])/16 + 
       (5687*t[64])/48 - (2771*t[65])/72 + (325*t[66])/24 + (5*t[67])/3 - 
       13*t[69] + t[70]/3 - t[71]/3 - 2*t[72] - 6*t[73] - (13*t[74])/3 - 
       8*t[75] - (22*t[76])/3 - 4*t[77] + (32*t[78])/3 - 4*t[79] + 
       (22*t[80])/3 - (3*t[81])/2 + (31*t[82])/6 + 32*t[83] - 
       (311*t[84])/24 - (337*t[85])/24 + 36*t[86] + (163*t[87])/24 + 
       (49*t[88])/16 - (1405*t[89])/48 + (10*t[95])/3 - (8*t[96])/3 - 
       44*t[98] + 20*t[99] + 111*t[100]) + HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w]*
      ((-15*t[1])/2 - (255*t[2])/2 + 84*t[3] + 52*t[4] - (31*t[5])/16 - 
       (279*t[6])/2 + (745*t[7])/4 - (569*t[8])/2 + (1585*t[9])/16 + 
       (1361*t[10])/8 + (1137*t[11])/8 + (325*t[12])/16 + (395*t[13])/9 - 
       (1713*t[14])/16 + (89*t[15])/32 + 2*t[17] - 38*t[19] - 36*t[21] - 
       10*t[22] + 36*t[23] - 58*t[24] + 6*t[26] - 28*t[27] + (55*t[29])/2 - 
       36*t[30] + 36*t[31] - 65*t[32] + 6*t[33] - 21*t[34] - 20*t[35] + 
       10*t[36] + 36*t[37] - 24*t[39] + (49*t[40])/2 - (57*t[41])/2 + 
       (57*t[42])/2 + (169*t[43])/8 - (207*t[44])/4 + (55*t[45])/2 - 
       17*t[46] + 29*t[47] - (245*t[48])/2 + (443*t[49])/8 + (105*t[50])/2 - 
       20*t[51] - (179*t[52])/2 - (443*t[53])/8 - (789*t[54])/4 - t[55]/2 - 
       4*t[56] + 18*t[57] - 3*t[59] + (79*t[60])/4 - 253*t[61] - 
       (227*t[62])/2 - 83*t[63] - (25*t[64])/2 + (199*t[65])/3 - 
       (2057*t[66])/6 - 2*t[68] - 12*t[70] + 12*t[71] - 37*t[72] + 76*t[73] - 
       94*t[74] - 142*t[75] - (113*t[76])/2 - 17*t[77] + 61*t[78] + 
       14*t[79] - 173*t[80] + 45*t[81] - 50*t[82] + 100*t[83] - 
       (111*t[84])/4 + (441*t[85])/4 + (815*t[86])/2 - (187*t[87])/4 - 
       (643*t[88])/8 + (823*t[89])/8 + t[91]/6 + 2*t[93] + 12*t[95] + 
       12*t[96] - 12*t[97] - 48*t[98] + 72*t[99] + 118*t[100]) + 
     HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - v]*((-63*t[1])/2 - (3*t[2])/2 - 
       (81*t[3])/4 + (571*t[4])/4 - (4177*t[5])/16 + (207*t[6])/4 + 
       (1117*t[7])/8 - (255*t[8])/8 + (4505*t[9])/16 - (1885*t[10])/8 - 
       (397*t[11])/2 + (1201*t[12])/16 + (2777*t[13])/144 - (491*t[14])/12 - 
       (44839*t[15])/288 + 4*t[16] + 28*t[25] - 27*t[26] - 11*t[27] - 
       18*t[28] - (21*t[29])/2 + 41*t[30] + 44*t[31] + 6*t[32] - 6*t[33] - 
       9*t[34] + 62*t[35] + 72*t[36] + 42*t[37] - 12*t[38] - 30*t[39] - 
       12*t[40] + (3*t[41])/2 - (3*t[42])/2 - (197*t[43])/4 + (349*t[44])/4 - 
       (197*t[45])/4 - 41*t[46] + (209*t[47])/2 - (93*t[48])/8 + 
       (445*t[49])/4 + (47*t[50])/8 - (227*t[51])/16 + (217*t[52])/8 - 
       (345*t[53])/4 + (65*t[54])/8 + 3*t[58] - 3*t[59] + (79*t[60])/4 - 
       253*t[61] - (227*t[62])/2 - 83*t[63] - (25*t[64])/2 + (199*t[65])/3 - 
       (2057*t[66])/6 - 2*t[68] - 12*t[70] + 12*t[71] - 37*t[72] + 76*t[73] - 
       94*t[74] - 142*t[75] - (113*t[76])/2 - 17*t[77] + 61*t[78] + 
       14*t[79] - 173*t[80] + 45*t[81] - 50*t[82] + 100*t[83] - 
       (111*t[84])/4 + (441*t[85])/4 + (815*t[86])/2 - (187*t[87])/4 - 
       (643*t[88])/8 + (823*t[89])/8 + t[91]/6 + 2*t[93] + 12*t[95] + 
       12*t[96] - 12*t[97] - 48*t[98] + 72*t[99] + 118*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-11*t[1])/6 + (89*t[2])/12 + (8*t[3])/3 - (349*t[4])/12 - 
       (557*t[5])/24 - (59*t[6])/3 + (8*t[7])/3 - (145*t[8])/6 - 
       (101*t[9])/24 + (133*t[10])/8 - (89*t[11])/3 - t[12]/12 - 
       (6227*t[13])/216 - (1943*t[14])/144 - (23*t[15])/48 + 4*t[20] - 
       6*t[22] + 3*t[26] + (4*t[27])/3 + 9*t[28] - t[29] + 17*t[30] - 
       (22*t[31])/3 + 2*t[32] - 3*t[33] + t[34]/3 - 2*t[35] - 4*t[36] + 
       2*t[37] - (8*t[38])/3 - 2*t[40] - t[41]/6 + t[42]/6 - (2*t[43])/3 - 
       13*t[44] + 3*t[46] - (121*t[48])/12 - (57*t[49])/8 + (301*t[50])/12 + 
       (63*t[51])/16 - (75*t[52])/4 + (107*t[53])/24 - (22*t[54])/3 + t[58] - 
       (7*t[59])/6 - (94*t[60])/3 - (1283*t[61])/12 - (23*t[62])/4 + 
       (44*t[63])/3 + (853*t[64])/24 - (53*t[65])/4 + (3661*t[66])/36 + 
       6*t[69] - (4*t[72])/3 - 31*t[73] - 4*t[74] + 63*t[75] - (43*t[76])/3 - 
       (4*t[77])/3 + (50*t[78])/3 - 29*t[79] - (2*t[80])/3 - (23*t[81])/6 - 
       (3*t[82])/2 + (28*t[83])/3 - (167*t[84])/12 - 19*t[85] + 35*t[86] + 
       (161*t[87])/6 + (89*t[88])/12 + (83*t[89])/24 - 4*t[96] - 
       (11*t[97])/3 - 56*t[98] + 56*t[99] + (243*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-19*t[1])/8 + t[2]/6 + (319*t[3])/144 + (313*t[4])/36 - 
       (181*t[5])/36 - (1393*t[6])/48 + (437*t[7])/48 - (5309*t[8])/144 - 
       (11*t[9])/24 + (175*t[10])/18 + (1679*t[11])/144 + (55*t[12])/16 + 
       (2173*t[13])/144 - (12503*t[14])/288 - (323*t[15])/96 - t[16]/6 + 
       (2*t[19])/3 + 2*t[20] + t[21] - 2*t[22] - t[23] - (2*t[25])/9 + 
       (25*t[26])/18 + 2*t[27] - (10*t[28])/3 - (29*t[29])/12 + 
       (11*t[30])/3 - t[31]/6 - (7*t[32])/4 + 2*t[33] + (31*t[34])/12 - 
       (25*t[36])/3 + (2*t[37])/3 - (25*t[38])/12 - (25*t[39])/6 - 
       (11*t[40])/4 - t[41]/24 + t[42]/24 - t[43]/3 + (97*t[44])/24 - 
       (9*t[45])/2 - (37*t[46])/72 + (15*t[47])/2 - (581*t[48])/48 - 
       (353*t[49])/144 + (3197*t[50])/144 + (2611*t[51])/288 - 
       (2825*t[52])/144 + (269*t[53])/144 - (593*t[54])/48 - t[59]/6 - 
       (569*t[60])/72 - (243*t[61])/2 + (461*t[62])/36 - (895*t[63])/18 + 
       (1147*t[64])/36 - (35*t[65])/2 + (214*t[66])/9 + t[68]/6 - 
       (8*t[69])/3 - t[70]/6 + t[71]/6 + (7*t[72])/3 - 5*t[73] + 
       (89*t[74])/12 - (23*t[75])/6 - (13*t[76])/3 + t[77]/6 + (70*t[78])/3 + 
       (89*t[79])/12 + (29*t[80])/6 - (17*t[81])/6 + 9*t[82] + 
       (755*t[83])/36 + (35*t[84])/8 + (421*t[85])/72 + (1999*t[86])/36 + 
       (1129*t[87])/72 + (433*t[88])/144 - (1109*t[89])/72 - 4*t[96] - 
       (11*t[97])/3 + 22*t[98] - 44*t[99] + (395*t[100])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-71*t[1])/24 + (869*t[2])/48 + (2773*t[3])/144 - (719*t[4])/36 + 
       (1355*t[5])/144 - (335*t[6])/18 - (647*t[7])/16 - (53*t[8])/144 - 
       (13*t[9])/9 + (617*t[10])/72 - (4093*t[11])/72 - (1021*t[12])/144 - 
       (2297*t[13])/144 - (4151*t[14])/144 - (14189*t[15])/864 - t[17]/12 + 
       t[19]/2 - (26*t[20])/9 + t[21]/2 + (3*t[22])/2 - t[23]/2 - 
       (5*t[24])/6 + 2*t[25] - t[26]/2 + (7*t[27])/3 + (121*t[28])/18 + 
       (35*t[29])/12 - (13*t[30])/9 - (11*t[31])/6 - (11*t[32])/4 + 
       (17*t[33])/18 + (37*t[34])/12 - (9*t[35])/2 - 5*t[36] + (3*t[37])/2 - 
       (29*t[38])/12 - t[39]/2 - (31*t[40])/12 - (37*t[41])/24 + 
       (37*t[42])/24 + t[43]/6 - (167*t[44])/72 - 3*t[45] + (5*t[46])/4 + 
       (31*t[47])/6 - (185*t[48])/36 - (311*t[49])/144 - (47*t[50])/36 - 
       (227*t[51])/144 + (25*t[52])/18 - (397*t[53])/144 - (15*t[54])/8 + 
       t[55]/6 + (2*t[59])/3 - (287*t[60])/36 - (3031*t[61])/24 + 
       (1879*t[62])/144 - (6895*t[63])/144 + (4313*t[64])/144 - 
       (325*t[65])/18 + (337*t[66])/12 + t[68]/6 - t[69] - t[70] + t[71] + 
       (7*t[72])/3 - (25*t[73])/6 + (79*t[74])/12 - 3*t[75] - (13*t[76])/3 + 
       t[77]/6 + (70*t[78])/3 + (79*t[79])/12 + (29*t[80])/6 - (13*t[81])/4 + 
       (113*t[82])/12 + (190*t[83])/9 + (35*t[84])/8 + (119*t[85])/18 + 
       (2069*t[86])/36 + (547*t[87])/36 + (199*t[88])/72 - (2243*t[89])/144 - 
       4*t[96] - (11*t[97])/3 + 22*t[98] - 44*t[99] + (400*t[100])/3) + 
     HPL[{0, 1}, 1 - v]*Qep[u, w, v]*((-64*t[1])/9 + (56*t[2])/9 + 
       (1000*t[3])/9 - (320*t[4])/3 + (928*t[5])/9 - (1082*t[6])/9 - 
       (896*t[7])/9 - 216*t[8] - (860*t[9])/9 - (464*t[10])/9 - 
       (1558*t[11])/9 - (440*t[12])/9 - (4000*t[13])/81 - (3086*t[14])/27 - 
       (9118*t[15])/81 - (64*t[27])/9 - (32*t[28])/3 - (160*t[29])/9 - 
       32*t[30] - (64*t[31])/9 - (64*t[32])/9 + (64*t[33])/9 + (64*t[34])/9 + 
       (64*t[35])/3 - (64*t[36])/3 - (64*t[37])/3 - (32*t[38])/9 - 
       (56*t[39])/9 - 8*t[40] - (32*t[41])/9 + (32*t[42])/9 - (128*t[43])/9 + 
       (440*t[44])/9 - (32*t[46])/3 - (64*t[47])/9 - (74*t[48])/3 + 
       (304*t[49])/9 + (26*t[50])/9 - (112*t[51])/9 + (38*t[52])/9 - 
       48*t[53] - (142*t[54])/3 - (128*t[59])/9 - (116*t[60])/3 - 532*t[61] - 
       (718*t[62])/9 - (994*t[63])/9 + (1354*t[64])/9 - (3532*t[65])/27 - 
       (1268*t[66])/27 - (64*t[69])/3 + (128*t[72])/9 - (160*t[73])/3 - 
       32*t[75] - (640*t[76])/9 - (160*t[77])/9 + (1088*t[78])/9 + 
       (128*t[79])/3 + (256*t[80])/9 - (496*t[81])/9 + 80*t[82] + 
       (416*t[83])/3 + (116*t[84])/9 + (412*t[85])/9 + (2752*t[86])/9 + 
       (340*t[87])/9 + (170*t[88])/9 - (1546*t[89])/9 - (64*t[96])/3 - 
       (128*t[97])/9 - (704*t[98])/3 + (704*t[99])/3 + (416*t[100])/3) + 
     HPL[{0, 1}, 1 - w]*Qep[u, w, v]*((-304*t[1])/9 + (824*t[2])/9 - 
       (32*t[3])/3 - (1030*t[4])/9 - 160*t[5] + (76*t[6])/3 + (656*t[7])/3 - 
       (1312*t[8])/9 + (2000*t[9])/9 - (2209*t[10])/9 + (340*t[11])/3 + 
       (1123*t[12])/9 - (190*t[13])/81 - (965*t[14])/18 + (295*t[15])/27 + 
       32*t[26] + (64*t[27])/9 - (128*t[28])/9 - (64*t[29])/9 + 
       (352*t[30])/9 - (640*t[31])/9 + (160*t[34])/9 - 64*t[35] - 
       (32*t[36])/3 + (64*t[37])/3 - (320*t[38])/9 - (64*t[39])/3 - 
       (64*t[40])/3 - (80*t[41])/9 + (80*t[42])/9 - (128*t[43])/9 + 
       (64*t[44])/9 + (32*t[46])/3 - (532*t[48])/9 - (481*t[49])/3 + 
       (2444*t[50])/9 + (325*t[51])/6 - (1708*t[52])/9 + (931*t[53])/9 - 
       (422*t[54])/9 + (32*t[58])/3 + (16*t[59])/9 - 46*t[60] - 
       (1130*t[61])/3 + (1253*t[62])/9 + (347*t[63])/9 - (491*t[64])/9 + 
       (2786*t[65])/27 + (1318*t[66])/27 + (320*t[72])/9 - (224*t[73])/3 - 
       (32*t[75])/3 - (2080*t[76])/9 - (352*t[77])/9 + (2432*t[78])/9 + 
       (128*t[79])/3 - (704*t[80])/9 - (64*t[81])/9 + 16*t[82] + 
       (256*t[83])/3 + (1658*t[84])/9 + (82*t[85])/9 + (2368*t[86])/9 + 
       (994*t[87])/9 + (497*t[88])/9 - (1309*t[89])/9 - (256*t[96])/3 - 
       (608*t[97])/9 - (3776*t[98])/3 + (3776*t[99])/3 + (416*t[100])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-3*t[1])/2 + (207*t[2])/4 + (128*t[3])/3 - (2591*t[4])/24 + 
       (1285*t[5])/12 + (385*t[6])/3 - (913*t[7])/4 + (3089*t[8])/12 - 
       (1057*t[9])/6 - (6169*t[10])/48 - (2977*t[11])/12 - (2165*t[12])/48 - 
       (7507*t[13])/72 - (3439*t[14])/32 - (3233*t[15])/144 - 3*t[17] + 
       14*t[19] - (16*t[20])/3 + 14*t[21] + 8*t[22] - 14*t[23] + 22*t[24] - 
       4*t[26] + 22*t[27] + (28*t[28])/3 + 7*t[29] - (8*t[30])/3 + 34*t[32] + 
       (8*t[33])/3 + 17*t[34] + 38*t[35] - 6*t[36] - 10*t[37] - 3*t[38] + 
       5*t[39] - 20*t[40] + (7*t[41])/2 - (7*t[42])/2 - (13*t[43])/2 - 
       (23*t[44])/3 - 32*t[45] + 11*t[46] - 2*t[47] + (329*t[48])/3 - 
       (2107*t[49])/48 - (268*t[50])/3 + (1135*t[51])/96 + (361*t[52])/3 + 
       (1531*t[53])/48 + (1387*t[54])/8 + 4*t[55] + 2*t[56] - 8*t[57] + 
       (5*t[59])/2 - (2399*t[60])/24 - (2211*t[61])/8 + (11477*t[62])/48 - 
       (1229*t[63])/48 + (3211*t[64])/48 + (2791*t[65])/24 + 
       (10849*t[66])/24 + 2*t[68] + 8*t[70] - 8*t[71] + 16*t[72] - 51*t[73] + 
       59*t[74] + 171*t[75] + t[76] + 8*t[77] + 8*t[78] - 57*t[79] + 
       60*t[80] - (107*t[81])/2 + (169*t[82])/2 - (394*t[83])/3 + 
       (179*t[84])/8 + (7*t[85])/24 - (641*t[86])/3 + (2233*t[87])/24 + 
       (4009*t[88])/48 - (301*t[89])/48 - 2*t[93] - 8*t[95] - 26*t[96] - 
       5*t[97] - 72*t[99] + 142*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*(-19*t[1] + (41*t[2])/2 + (293*t[3])/6 - 
       (554*t[4])/3 + (1967*t[5])/12 - (875*t[6])/16 - (161*t[7])/4 - 
       (757*t[8])/6 - (1221*t[9])/8 - (559*t[10])/12 + (4901*t[11])/48 + 
       (345*t[12])/4 + (19*t[13])/9 - (9101*t[14])/48 + (9941*t[15])/144 - 
       4*t[16] - (86*t[25])/3 + (122*t[26])/3 + 2*t[27] + 16*t[28] - 
       11*t[29] - 18*t[30] - 6*t[31] - 6*t[32] + 6*t[33] + 12*t[34] - 
       24*t[35] - 40*t[36] - 10*t[37] - 17*t[38] + 10*t[39] + 9*t[40] - 
       4*t[41] + 4*t[42] + 18*t[43] + t[44]/2 + 25*t[45] + (106*t[46])/3 - 
       56*t[47] - (833*t[48])/16 - (679*t[49])/6 + (2033*t[50])/48 + 
       (110*t[51])/3 - (2705*t[52])/48 + (715*t[53])/6 - (855*t[54])/16 - 
       2*t[58] + (5*t[59])/2 - (2399*t[60])/24 - (2211*t[61])/8 + 
       (11477*t[62])/48 - (1229*t[63])/48 + (3211*t[64])/48 + 
       (2791*t[65])/24 + (10849*t[66])/24 + 2*t[68] + 8*t[70] - 8*t[71] + 
       16*t[72] - 51*t[73] + 59*t[74] + 171*t[75] + t[76] + 8*t[77] + 
       8*t[78] - 57*t[79] + 60*t[80] - (107*t[81])/2 + (169*t[82])/2 - 
       (394*t[83])/3 + (179*t[84])/8 + (7*t[85])/24 - (641*t[86])/3 + 
       (2233*t[87])/24 + (4009*t[88])/48 - (301*t[89])/48 - 2*t[93] - 
       8*t[95] - 26*t[96] - 5*t[97] - 72*t[99] + 142*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*(-15*t[1] - 102*t[2] + 
       243*t[3] + 9*t[4] + (915*t[5])/8 - (1309*t[6])/4 + 579*t[7] - 
       (1791*t[8])/2 + (2103*t[9])/8 + (1197*t[10])/4 + 306*t[11] + 
       (1227*t[12])/8 + (379*t[13])/3 - (4697*t[14])/24 - (273*t[15])/16 - 
       76*t[19] - 48*t[20] - 72*t[21] + 72*t[23] - 156*t[24] + 12*t[26] - 
       54*t[27] + 53*t[29] - 60*t[30] + 36*t[31] - 150*t[32] + 12*t[33] - 
       42*t[34] - 24*t[35] + 18*t[36] + 72*t[37] - 60*t[39] + 69*t[40] - 
       57*t[41] + 57*t[42] + (201*t[43])/4 - (111*t[44])/2 - 57*t[45] - 
       33*t[46] + 186*t[47] - (1311*t[48])/4 + (309*t[49])/4 + 
       (633*t[50])/4 - (93*t[51])/4 - (945*t[52])/4 - (309*t[53])/4 - 
       (1815*t[54])/4 - 6*t[55] - 6*t[56] + 36*t[57] - 30*t[59] + 57*t[60] - 
       (1017*t[61])/2 - (993*t[62])/4 - (2115*t[63])/4 - (567*t[64])/4 + 
       (703*t[65])/3 - (1358*t[66])/3 - 24*t[70] + 24*t[71] - 60*t[72] + 
       120*t[73] - 180*t[74] - 312*t[75] - 147*t[76] - 6*t[77] + 159*t[78] + 
       30*t[79] - 282*t[80] + 84*t[81] - 93*t[82] + 234*t[83] - 
       (93*t[84])/2 + 225*t[85] + 933*t[86] - 111*t[87] - (339*t[88])/2 + 
       (423*t[89])/2 + t[91] + 24*t[95] + 24*t[96] - 24*t[97] + 144*t[98] - 
       144*t[99] + 144*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - v]*(-15*t[1] + 6*t[2] - (75*t[3])/2 + 339*t[4] - (4311*t[5])/8 + 
       (141*t[6])/2 + (1131*t[7])/4 + (219*t[8])/4 + (4239*t[9])/8 - 
       (1275*t[10])/2 - 450*t[11] + (109*t[12])/8 - (2069*t[13])/24 - 
       (737*t[14])/8 - (15983*t[15])/48 + 12*t[16] + 24*t[25] - 126*t[26] - 
       18*t[27] - 48*t[28] - 21*t[29] + 84*t[30] + 82*t[31] + 12*t[32] - 
       12*t[33] - 18*t[34] + 156*t[35] + 156*t[36] + 84*t[37] + 24*t[38] - 
       72*t[39] - 78*t[40] + 3*t[41] - 3*t[42] - (195*t[43])/2 + 
       (345*t[44])/2 - (261*t[45])/2 - 12*t[46] + 273*t[47] + (63*t[48])/4 + 
       (921*t[49])/4 - (57*t[50])/4 - (303*t[51])/4 + (321*t[52])/4 - 
       (921*t[53])/4 + (123*t[54])/4 + 6*t[58] - 30*t[59] + 57*t[60] - 
       (1017*t[61])/2 - (993*t[62])/4 - (2115*t[63])/4 - (567*t[64])/4 + 
       (703*t[65])/3 - (1358*t[66])/3 - 24*t[70] + 24*t[71] - 60*t[72] + 
       120*t[73] - 180*t[74] - 312*t[75] - 147*t[76] - 6*t[77] + 159*t[78] + 
       30*t[79] - 282*t[80] + 84*t[81] - 93*t[82] + 234*t[83] - 
       (93*t[84])/2 + 225*t[85] + 933*t[86] - 111*t[87] - (339*t[88])/2 + 
       (423*t[89])/2 + t[91] + 24*t[95] + 24*t[96] - 24*t[97] + 144*t[98] - 
       144*t[99] + 144*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*(-14*t[1] - (13*t[2])/2 + (175*t[3])/4 - 
       (197*t[4])/4 + (77*t[5])/4 - (51*t[6])/2 - 30*t[7] - (81*t[8])/2 - 
       (211*t[9])/4 - (117*t[10])/8 - t[11] + (505*t[12])/8 - 
       (451*t[13])/36 - (5017*t[14])/48 + (37*t[15])/24 - 2*t[16] + 
       10*t[26] + 4*t[28] + 4*t[29] - 5*t[30] + 4*t[31] + 2*t[34] - 4*t[35] - 
       14*t[36] + 2*t[37] - 11*t[38] - 4*t[39] + (17*t[40])/2 - t[41] + 
       t[42] - 30*t[44] + 2*t[45] - 2*t[46] - 4*t[47] - (35*t[48])/2 - 
       (163*t[49])/8 + (49*t[50])/2 + (233*t[51])/16 - (57*t[52])/2 + 
       (203*t[53])/8 - (63*t[54])/4 + (5*t[59])/2 - (445*t[60])/4 - 
       (749*t[61])/4 + (387*t[62])/8 + (237*t[63])/8 + (1611*t[64])/8 + 
       (565*t[65])/12 + (2545*t[66])/12 + 2*t[68] - 4*t[69] + 4*t[70] - 
       4*t[71] - 18*t[73] + 2*t[74] + 50*t[75] - 13*t[76] - 8*t[77] - t[78] - 
       8*t[80] - 21*t[81] + 29*t[82] - 10*t[83] - (71*t[84])/4 - 
       (25*t[85])/4 - 8*t[86] + (173*t[87])/4 + (325*t[88])/8 + 
       (23*t[89])/8 - 4*t[95] - 10*t[96] - t[97] - 48*t[98] + 4*t[99] + 
       144*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(-t[1]/2 - 34*t[2] + (29*t[3])/4 - 66*t[4] + 
       (147*t[5])/4 + (159*t[6])/8 - (199*t[7])/2 + 59*t[8] - 81*t[9] + 
       (81*t[10])/2 - (1063*t[11])/8 - (75*t[12])/4 - (3037*t[13])/36 - 
       (727*t[14])/8 - (1229*t[15])/72 - t[17] + 2*t[19] - 2*t[20] + 
       2*t[21] + 2*t[22] - 2*t[23] + 4*t[27] - 12*t[28] + 7*t[29] + 2*t[30] + 
       2*t[31] + 17*t[32] - 2*t[33] - t[34] - 2*t[36] + 4*t[37] - t[38] - 
       7*t[39] - 3*t[40] + t[41]/2 - t[42]/2 - (7*t[44])/2 + 8*t[45] + 
       t[46] - 14*t[47] + (141*t[48])/8 + t[49]/2 - (151*t[50])/8 - t[51] + 
       (223*t[52])/8 - (9*t[53])/2 + (339*t[54])/8 + 2*t[55] + (5*t[59])/2 - 
       (445*t[60])/4 - (749*t[61])/4 + (387*t[62])/8 + (237*t[63])/8 + 
       (1611*t[64])/8 + (565*t[65])/12 + (2545*t[66])/12 + 2*t[68] - 
       4*t[69] + 4*t[70] - 4*t[71] - 18*t[73] + 2*t[74] + 50*t[75] - 
       13*t[76] - 8*t[77] - t[78] - 8*t[80] - 21*t[81] + 29*t[82] - 
       10*t[83] - (71*t[84])/4 - (25*t[85])/4 - 8*t[86] + (173*t[87])/4 + 
       (325*t[88])/8 + (23*t[89])/8 - 4*t[95] - 10*t[96] - t[97] - 48*t[98] + 
       4*t[99] + 144*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*(t[1] - (43*t[2])/4 + (5*t[3])/6 + 
       (11*t[4])/12 + (243*t[5])/16 + (143*t[6])/48 - (677*t[7])/24 - 
       (1405*t[8])/24 - (1643*t[9])/48 + (547*t[10])/8 - (967*t[11])/16 - 
       (709*t[12])/48 - (70*t[13])/3 - (1843*t[14])/72 - (285*t[15])/32 + 
       t[17]/2 - (13*t[20])/3 + 2*t[27] + 2*t[28] + (11*t[29])/6 + 12*t[30] + 
       4*t[31] + 3*t[32] - t[33]/3 - 6*t[34] - 4*t[35] + t[36] + 2*t[37] + 
       2*t[38] - t[39] + 4*t[40] + 3*t[41] - (5*t[42])/2 - t[43]/4 + 
       (21*t[44])/4 + (27*t[45])/2 - 3*t[46] - (33*t[47])/2 + (53*t[48])/48 - 
       (37*t[49])/12 - (119*t[50])/48 + (49*t[51])/24 - (73*t[52])/48 + 
       (37*t[53])/12 - (89*t[54])/48 + 2*t[57] + t[59] - (373*t[60])/24 - 
       (1207*t[61])/24 + (763*t[62])/16 + (2311*t[63])/48 - (1699*t[64])/48 - 
       (1147*t[65])/72 + (2053*t[66])/24 - t[68] + 2*t[69] - 14*t[72] + 
       11*t[73] - 7*t[74] - 23*t[75] - 3*t[76] + (5*t[77])/2 + 2*t[78] + 
       11*t[79] - (73*t[80])/2 - 2*t[81] + (3*t[82])/4 - 12*t[83] - 
       (245*t[84])/24 + (83*t[85])/24 - 59*t[86] + (445*t[87])/24 + 
       (445*t[88])/48 + (787*t[89])/48 - t[93] - t[97] - 66*t[98] + 
       48*t[99] + 148*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*(3*t[1] - (11*t[2])/4 + (71*t[3])/24 + 
       (391*t[4])/24 - (309*t[5])/16 + (33*t[6])/4 - (259*t[7])/24 + 
       (91*t[8])/24 - (373*t[9])/48 + (551*t[10])/16 - (197*t[11])/6 + 
       (11*t[12])/8 - (3809*t[13])/144 - (2083*t[14])/288 - (269*t[15])/96 + 
       t[22] + t[25]/3 + (2*t[26])/3 - 6*t[28] - t[29] + 4*t[30] + 2*t[31] + 
       t[32] - t[33] - t[34] - 2*t[35] - 3*t[36] - 2*t[39] - 3*t[40] + 
       t[41]/2 - t[42]/2 - 5*t[43] + 6*t[44] - t[45] - t[46]/6 + t[47] - 
       (29*t[48])/8 + (461*t[49])/48 + (145*t[50])/24 - (815*t[51])/96 - 
       t[52]/24 - (413*t[53])/48 - (73*t[54])/12 + t[58] + t[59] - 
       (103*t[60])/8 - (1247*t[61])/24 + (2233*t[62])/48 + (1855*t[63])/48 - 
       (537*t[64])/16 - (995*t[65])/72 + (1981*t[66])/24 - t[68] + 4*t[69] - 
       12*t[72] + 13*t[73] - 7*t[74] - 21*t[75] - 3*t[76] + (5*t[77])/2 + 
       2*t[78] + 9*t[79] - (73*t[80])/2 - 2*t[81] + (3*t[82])/4 - 
       (29*t[83])/3 - (229*t[84])/24 + (33*t[85])/8 - (163*t[86])/3 + 
       (349*t[87])/24 + (349*t[88])/48 + (265*t[89])/16 - t[93] - t[97] - 
       66*t[98] + 48*t[99] + 149*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Qep[u, v, w]*((-32*t[1])/3 + 8*t[2] + (32*t[3])/9 - (88*t[4])/3 + 
       (236*t[5])/9 - (224*t[6])/9 + 48*t[7] + (112*t[8])/3 + 28*t[9] + 
       (212*t[10])/9 - (560*t[11])/9 + (208*t[12])/9 - (2552*t[13])/27 + 
       (370*t[14])/27 - (146*t[15])/27 + (64*t[31])/9 - (32*t[36])/3 + 
       (64*t[37])/3 + (32*t[43])/9 - (16*t[48])/3 - (4*t[49])/9 + 
       (16*t[50])/9 - (10*t[51])/3 - (16*t[52])/9 + (4*t[53])/9 + 
       (152*t[54])/9 - (208*t[60])/9 - 240*t[61] - (548*t[62])/9 + 
       196*t[63] + (112*t[64])/3 + (1304*t[65])/9 + (6088*t[66])/27 - 
       (64*t[72])/3 - (32*t[73])/3 - (128*t[80])/3 + (64*t[82])/9 + 
       (32*t[84])/9 - (32*t[85])/9 + (1408*t[86])/9 - (160*t[87])/9 - 
       (80*t[88])/9 + (80*t[89])/3 + (448*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-9*t[1])/2 + (27*t[2])/2 - (71*t[3])/6 - (89*t[4])/12 - 
       (223*t[5])/8 + (1207*t[6])/48 - (419*t[7])/12 + (11*t[8])/3 + 
       (80*t[9])/3 - (9*t[10])/8 - (1133*t[11])/16 - (91*t[12])/6 + 
       (85*t[13])/12 - (691*t[14])/36 - (95*t[15])/36 + t[20]/3 + t[24] + 
       3*t[26] + 2*t[27] + 30*t[28] - (22*t[29])/3 - 4*t[31] - t[32] + 
       (4*t[33])/3 + 4*t[34] - 16*t[35] - 5*t[36] + t[37] - (9*t[38])/2 + 
       (5*t[39])/2 - (13*t[40])/2 - 2*t[41] + 2*t[42] - (3*t[43])/2 + 
       (11*t[44])/2 - 3*t[45] + t[46]/2 + 5*t[47] + (361*t[48])/48 - 
       (349*t[49])/24 + (437*t[50])/48 + (427*t[51])/48 + (43*t[52])/48 + 
       (109*t[53])/24 + (719*t[54])/48 + t[58] - t[59] + (613*t[60])/24 - 
       (2807*t[61])/24 + (1975*t[62])/16 - (2125*t[63])/48 - 
       (2135*t[64])/48 + (7297*t[65])/72 + (1621*t[66])/24 - t[72] + 
       22*t[73] + t[74] - 14*t[75] - (39*t[76])/2 + 8*t[77] + (83*t[78])/2 - 
       17*t[79] - 10*t[80] + (17*t[81])/2 - 13*t[82] - 31*t[83] + 
       (917*t[84])/24 + (601*t[85])/24 - 53*t[86] + (593*t[87])/24 + 
       (593*t[88])/48 + (3455*t[89])/48 - 14*t[96] - 11*t[97] - 66*t[98] + 
       48*t[99] + 154*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 
       1 - u]*(t[1] + (7*t[2])/2 - (95*t[3])/8 - (89*t[4])/4 + 
       (893*t[5])/16 + (139*t[6])/8 - (257*t[7])/4 + 65*t[8] - 
       (1435*t[9])/16 + (417*t[10])/8 - (135*t[11])/4 - (475*t[12])/16 + 
       (67*t[13])/36 + (269*t[14])/12 + (6019*t[15])/288 - 4*t[27] + 
       4*t[28] - 10*t[29] + 13*t[30] + 3*t[31] - 2*t[32] + 2*t[33] - 
       4*t[35] + 10*t[36] - 3*t[39] - 2*t[40] + t[41] - t[42] + 
       (51*t[43])/8 - 26*t[44] + 10*t[45] + 4*t[46] - 22*t[47] + 
       (141*t[48])/8 - (21*t[49])/8 - (159*t[50])/8 - (139*t[51])/16 + 
       (159*t[52])/8 + (21*t[53])/8 - (15*t[54])/8 + 2*t[59] - 3*t[60] - 
       (373*t[61])/4 + (267*t[62])/8 - (551*t[63])/8 - (35*t[64])/8 + 
       (209*t[65])/12 + (461*t[66])/12 - 8*t[73] + 20*t[75] - (11*t[77])/2 - 
       7*t[80] + 8*t[81] - 10*t[82] + 4*t[83] - 4*t[85] + (51*t[86])/2 + 
       4*t[87] + 2*t[88] + (65*t[89])/2 - 24*t[98] - 24*t[99] + 156*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*(t[1] + (9*t[2])/2 + 
       (103*t[3])/8 + (177*t[4])/4 - (561*t[5])/16 - (121*t[6])/4 + 
       (445*t[7])/8 - (855*t[8])/8 + (1405*t[9])/16 - (13*t[10])/2 - 
       28*t[11] - (225*t[12])/16 - (467*t[13])/144 - (569*t[14])/12 - 
       (9793*t[15])/288 + 5*t[22] + 4*t[27] + 4*t[28] + 10*t[29] - 13*t[30] - 
       3*t[31] + 2*t[32] - 2*t[33] + 4*t[35] - 10*t[36] + 3*t[39] + 2*t[40] + 
       t[41] - t[42] - 6*t[43] + 26*t[44] + (9*t[45])/4 + 4*t[46] + 
       (29*t[47])/2 - (125*t[48])/8 + (5*t[49])/8 + (175*t[50])/8 + 
       (59*t[51])/16 - (175*t[52])/8 - (5*t[53])/8 + (31*t[54])/8 + t[56]/2 - 
       2*t[57] + 2*t[59] - 3*t[60] - (373*t[61])/4 + (267*t[62])/8 - 
       (551*t[63])/8 - (35*t[64])/8 + (209*t[65])/12 + (461*t[66])/12 - 
       8*t[73] + 20*t[75] - (11*t[77])/2 - 7*t[80] + 8*t[81] - 10*t[82] + 
       4*t[83] - 4*t[85] + (51*t[86])/2 + 4*t[87] + 2*t[88] + (65*t[89])/2 - 
       24*t[98] - 24*t[99] + 156*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - v]*(-4*t[1] + (11*t[2])/2 + (23*t[3])/4 - 
       (25*t[4])/24 - t[5]/24 + (89*t[6])/8 - (773*t[7])/12 + (65*t[8])/6 - 
       (617*t[9])/24 + (301*t[10])/48 - (507*t[11])/8 - (479*t[12])/16 + 
       (469*t[13])/24 - (11029*t[14])/288 - (2*t[15])/9 + 2*t[27] + 8*t[28] - 
       (31*t[29])/4 + 2*t[31] - 4*t[32] + 4*t[33] - 3*t[34] - 6*t[35] - 
       2*t[36] + t[37] - t[38]/2 - (5*t[39])/2 + t[40]/2 - (3*t[41])/2 + 
       (3*t[42])/2 + (3*t[43])/2 - (11*t[44])/4 + 7*t[45] + t[46]/2 - 
       9*t[47] + (71*t[48])/8 - (965*t[49])/48 + (11*t[50])/8 + 
       (495*t[51])/32 - (11*t[52])/8 + (485*t[53])/48 + (109*t[54])/6 + 
       (611*t[60])/24 - (2945*t[61])/24 + (5939*t[62])/48 - (673*t[63])/16 - 
       (2245*t[64])/48 + (7249*t[65])/72 + (1745*t[66])/24 + 2*t[69] - 
       t[70] + t[71] - t[72] + 23*t[73] - 13*t[75] - (39*t[76])/2 + 8*t[77] + 
       (83*t[78])/2 - 18*t[79] - 10*t[80] + 8*t[81] - (25*t[82])/2 - 
       (185*t[83])/6 + (917*t[84])/24 + (623*t[85])/24 - (152*t[86])/3 + 
       (193*t[87])/8 + (193*t[88])/16 + (3445*t[89])/48 - 14*t[96] - 
       11*t[97] - 66*t[98] + 48*t[99] + 156*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((5*t[1])/2 - (685*t[2])/16 + (3031*t[3])/32 + (799*t[4])/16 + 
       (1165*t[5])/32 + (641*t[6])/16 - (3141*t[7])/16 + (3597*t[8])/16 - 
       (5683*t[9])/32 + (577*t[10])/32 - (1545*t[11])/16 - (531*t[12])/8 - 
       (2677*t[13])/96 - (17735*t[14])/192 - (175*t[15])/36 + (15*t[20])/2 + 
       (167*t[29])/8 - (55*t[30])/4 - (65*t[32])/8 - (85*t[34])/2 + 
       15*t[35] - 22*t[36] + 5*t[38] + (35*t[40])/4 - (929*t[44])/16 + 
       (35*t[45])/2 - (17*t[46])/2 - (25*t[47])/2 + (437*t[48])/4 + 
       (639*t[49])/32 - (229*t[50])/4 + (249*t[51])/64 + (177*t[52])/4 - 
       (607*t[53])/32 + (393*t[54])/8 + (85*t[59])/8 - (1765*t[60])/16 - 
       97*t[61] + (2447*t[62])/16 + (53*t[63])/16 + (249*t[64])/16 + 
       (4591*t[65])/48 + (14393*t[66])/48 + (15*t[69])/2 - 39*t[73] - 
       (5*t[74])/4 + 23*t[75] - (25*t[76])/2 - 2*t[78] - 22*t[79] - 
       15*t[80] - (137*t[81])/8 + (43*t[82])/8 + (103*t[83])/4 - 
       (413*t[84])/16 - (461*t[85])/8 - 61*t[86] - (101*t[87])/8 - 
       (135*t[88])/16 + (2751*t[89])/32 + (5*t[95])/2 - (5*t[97])/2 - 
       24*t[98] + 24*t[99] + (313*t[100])/2) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*(-20*t[1] + (25*t[2])/4 - (93*t[3])/4 - 
       (1085*t[4])/16 - (783*t[5])/32 + (773*t[6])/32 + 6*t[7] + 47*t[8] + 
       (711*t[9])/32 + (33*t[10])/4 - (2459*t[11])/32 + (2095*t[12])/32 - 
       (475*t[13])/16 - (8369*t[14])/192 + (9913*t[15])/192 + t[19]/2 + 
       (105*t[26])/4 + 2*t[28] - 9*t[29] + 9*t[30] - (5*t[34])/2 + 
       (5*t[36])/4 + (3*t[37])/2 - (95*t[38])/4 - 5*t[40] + (5*t[41])/4 - 
       (5*t[42])/4 - 20*t[44] + (97*t[48])/32 + (67*t[49])/16 + 
       (449*t[50])/32 + (859*t[51])/64 - (49*t[52])/32 + (83*t[53])/16 + 
       (1217*t[54])/32 + (5*t[58])/2 + (85*t[59])/8 - (1765*t[60])/16 - 
       97*t[61] + (2447*t[62])/16 + (53*t[63])/16 + (249*t[64])/16 + 
       (4591*t[65])/48 + (14393*t[66])/48 + (15*t[69])/2 - 39*t[73] - 
       (5*t[74])/4 + 23*t[75] - (25*t[76])/2 - 2*t[78] - 22*t[79] - 
       15*t[80] - (137*t[81])/8 + (43*t[82])/8 + (103*t[83])/4 - 
       (413*t[84])/16 - (461*t[85])/8 - 61*t[86] - (101*t[87])/8 - 
       (135*t[88])/16 + (2751*t[89])/32 + (5*t[95])/2 - (5*t[97])/2 - 
       24*t[98] + 24*t[99] + (313*t[100])/2) + HPL[{0, 1}, 1 - v]*
      Qep[v, w, u]*(-8*t[2] - 8*t[3] - 80*t[4] - (112*t[5])/3 + 
       (128*t[6])/3 - 56*t[7] + (272*t[8])/3 + (352*t[9])/3 + 56*t[10] - 
       (352*t[11])/3 + (136*t[12])/3 - (2552*t[13])/27 + (476*t[14])/9 - 
       (436*t[15])/9 - (32*t[28])/3 + (16*t[29])/3 - (64*t[31])/3 + 
       (64*t[35])/3 + (64*t[37])/3 + (56*t[39])/3 - 24*t[40] - 8*t[44] + 
       16*t[48] - 8*t[49] - (200*t[50])/3 - (4*t[51])/3 + (200*t[52])/3 + 
       8*t[53] + (224*t[54])/3 + (32*t[59])/3 + (272*t[60])/3 - 24*t[61] - 
       (272*t[62])/3 - (128*t[63])/3 + 136*t[64] - (800*t[65])/9 - 
       (112*t[66])/3 + (64*t[69])/3 + (64*t[72])/3 - (32*t[73])/3 - 
       32*t[75] - (64*t[76])/3 - (32*t[77])/3 + (128*t[78])/3 + 64*t[79] - 
       (128*t[80])/3 + (112*t[81])/3 + (16*t[82])/3 + 96*t[83] + 16*t[84] - 
       24*t[85] + (256*t[86])/3 + 48*t[87] + 24*t[88] - (56*t[89])/3 - 
       64*t[98] + 64*t[99] + 160*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((9*t[1])/2 - 2*t[2] + (275*t[3])/8 - 
       (49*t[4])/4 - (197*t[5])/16 - (1169*t[6])/16 - (149*t[7])/8 - 
       (579*t[8])/8 - (929*t[9])/16 - (107*t[10])/8 - (1035*t[11])/16 + 
       t[12]/16 + (1411*t[13])/144 - (4415*t[14])/48 - (9151*t[15])/288 - 
       2*t[16] + 4*t[25] + 7*t[26] + 18*t[27] - 14*t[28] - 5*t[29] + 
       5*t[30] + 8*t[31] + 2*t[32] - 2*t[33] - t[34] + 14*t[35] - 14*t[36] - 
       4*t[37] + 4*t[38] + 2*t[39] + t[40]/2 + t[41]/2 - t[42]/2 - 
       (27*t[43])/4 + (33*t[44])/2 + (11*t[45])/4 + 6*t[46] - (7*t[47])/2 - 
       (297*t[48])/16 + (21*t[49])/2 + (267*t[50])/16 - (247*t[51])/16 - 
       (187*t[52])/16 + t[53]/2 - (419*t[54])/16 + t[58] - (19*t[59])/2 - 
       (945*t[60])/8 - (2239*t[61])/8 + (1791*t[62])/16 - (271*t[63])/16 + 
       (945*t[64])/16 - (523*t[65])/24 + (1667*t[66])/24 - 8*t[68] - 
       10*t[69] - 20*t[72] - 4*t[73] + 8*t[74] + 18*t[76] - 2*t[77] - 
       23*t[78] - 17*t[80] - 32*t[81] + 41*t[82] + 29*t[83] - (293*t[84])/8 + 
       (251*t[85])/8 - (57*t[86])/2 + (605*t[87])/8 + (605*t[88])/16 + 
       (477*t[89])/16 - t[91]/6 - 2*t[93] - t[97] - 12*t[99] + 162*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-t[1] - 2*t[2] - (27*t[3])/4 - (121*t[4])/8 + (521*t[5])/16 - 
       32*t[6] - (187*t[7])/4 - 70*t[8] - (463*t[9])/16 + (381*t[10])/16 - 
       (505*t[11])/8 - (57*t[12])/4 + (97*t[13])/24 - (6455*t[14])/96 - 
       (6073*t[15])/288 + 7*t[17] + 20*t[20] - 10*t[22] + 2*t[27] + 
       10*t[28] - (7*t[29])/2 - 2*t[30] + 2*t[31] + 4*t[33] - 4*t[34] - 
       2*t[35] + 4*t[36] + 10*t[37] + t[38] - t[39] + (13*t[40])/2 - t[41] + 
       t[42] + (9*t[43])/8 - (17*t[44])/4 + (49*t[45])/2 + t[46] - 27*t[47] + 
       5*t[48] - (25*t[49])/16 + 4*t[50] + (69*t[51])/32 - 10*t[52] - 
       (39*t[53])/16 - (27*t[54])/8 - t[55] - t[56] + 2*t[57] + t[59]/2 - 
       (605*t[60])/8 - (955*t[61])/8 + (699*t[62])/16 - (11*t[63])/16 + 
       (1005*t[64])/16 + (295*t[65])/8 - (71*t[66])/8 - 14*t[68] + 12*t[72] - 
       8*t[73] + 12*t[75] + 8*t[76] + 4*t[77] - 5*t[78] - 4*t[79] - 
       33*t[80] - 9*t[81] + 10*t[82] - 6*t[83] - (45*t[84])/8 + 
       (23*t[85])/8 - (81*t[86])/2 + (377*t[87])/8 + (377*t[88])/16 + 
       (769*t[89])/16 - t[91]/6 + 2*t[93] - 6*t[96] - 5*t[97] - 24*t[98] - 
       12*t[99] + 162*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-9*t[1])/2 + (19*t[2])/2 + (3*t[3])/8 - 
       (55*t[4])/4 - (17*t[5])/16 - (585*t[6])/16 - (245*t[7])/8 + 
       (85*t[8])/8 - (197*t[9])/16 + (767*t[10])/8 - (963*t[11])/16 + 
       (209*t[12])/16 + (267*t[13])/16 - (307*t[14])/16 + (421*t[15])/288 + 
       t[16] + 12*t[25] + 7*t[26] + 16*t[27] - 6*t[28] - 3*t[29] + 3*t[30] + 
       2*t[31] + t[34] + 2*t[35] + 4*t[36] + 8*t[37] - 5*t[38] + 4*t[39] - 
       (9*t[40])/2 - t[41]/2 + t[42]/2 - (11*t[43])/4 - (17*t[44])/2 - 
       (5*t[45])/4 - t[46] + (5*t[47])/2 - (57*t[48])/16 - (83*t[49])/4 + 
       (75*t[50])/16 - t[51]/16 + (37*t[52])/16 + (31*t[53])/4 + 
       (213*t[54])/16 + t[58] + t[59]/2 - (605*t[60])/8 - (955*t[61])/8 + 
       (699*t[62])/16 - (11*t[63])/16 + (1005*t[64])/16 + (295*t[65])/8 - 
       (71*t[66])/8 - 14*t[68] + 12*t[72] - 8*t[73] + 12*t[75] + 8*t[76] + 
       4*t[77] - 5*t[78] - 4*t[79] - 33*t[80] - 9*t[81] + 10*t[82] - 
       6*t[83] - (45*t[84])/8 + (23*t[85])/8 - (81*t[86])/2 + (377*t[87])/8 + 
       (377*t[88])/16 + (769*t[89])/16 - t[91]/6 + 2*t[93] - 6*t[96] - 
       5*t[97] - 24*t[98] - 12*t[99] + 162*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((3*t[1])/2 + (21*t[2])/2 + (463*t[3])/12 - (13*t[4])/4 + 
       (953*t[5])/24 - (671*t[6])/24 + (13*t[7])/3 + 2*t[8] - (523*t[9])/8 + 
       38*t[10] + (233*t[11])/24 - (31*t[12])/8 - (1849*t[13])/108 - 
       (7225*t[14])/144 + (269*t[15])/48 - (7*t[16])/3 - 4*t[20] + 4*t[22] - 
       (16*t[25])/3 + (17*t[26])/3 + (8*t[27])/3 - 2*t[28] + t[29] - 
       2*t[30] + t[32] - 2*t[33] - 4*t[34] - 4*t[35] - (13*t[36])/3 + 
       (17*t[37])/3 - t[38]/3 - (14*t[39])/3 + 5*t[40] - t[41] + t[42] + 
       t[43] + (17*t[44])/2 + (5*t[45])/3 + (7*t[46])/3 - (16*t[47])/3 - 
       (93*t[48])/8 - (7*t[49])/12 + (51*t[50])/8 - (65*t[51])/48 - 
       (281*t[52])/24 + (17*t[53])/12 - (1003*t[54])/24 + t[59]/3 - 
       (1031*t[60])/12 - (230*t[61])/3 - (305*t[62])/12 + (233*t[63])/12 + 
       (21*t[64])/2 + (2119*t[65])/36 + (1333*t[66])/12 + 2*t[68] - 4*t[69] + 
       (10*t[70])/3 - (10*t[71])/3 + 2*t[72] - t[74]/3 - 6*t[75] - 
       (7*t[76])/3 - (13*t[77])/3 - (5*t[78])/3 - (4*t[80])/3 - 
       (59*t[81])/6 + (95*t[82])/6 + 2*t[83] - (113*t[84])/4 - 8*t[85] + 
       (122*t[86])/3 + (305*t[87])/6 + (449*t[88])/12 - (167*t[89])/8 + 
       (2*t[95])/3 - (22*t[96])/3 + (8*t[97])/3 - 16*t[98] - 52*t[99] + 
       170*t[100]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((16*t[1])/3 + (53*t[2])/12 - t[3]/8 - (311*t[4])/4 - (53*t[5])/8 - 
       (43*t[6])/12 + (89*t[7])/12 + (127*t[8])/12 + (209*t[9])/24 + 
       (283*t[10])/24 - (655*t[11])/12 + (301*t[12])/12 - (1093*t[13])/24 - 
       (1369*t[14])/48 - (2653*t[15])/216 - t[17] + 2*t[19] + 2*t[20] + 
       2*t[21] - 2*t[22] - 2*t[23] + (4*t[24])/3 - 4*t[25] + 4*t[27] - 
       2*t[28] - (11*t[29])/6 - (25*t[30])/3 - 2*t[31] + (107*t[32])/6 - 
       (17*t[33])/3 - (8*t[34])/3 + 2*t[35] + 4*t[36] + (19*t[37])/3 + 
       4*t[38] - (10*t[39])/3 - (8*t[40])/3 + (19*t[41])/6 - (19*t[42])/6 - 
       (5*t[43])/6 + (151*t[44])/12 - (11*t[45])/3 - 4*t[46] + 14*t[47] - 
       (29*t[48])/3 - (85*t[49])/8 + t[50]/3 + (195*t[51])/16 + 
       (17*t[52])/3 + (109*t[53])/8 + (91*t[54])/3 + (7*t[55])/3 + t[59]/3 - 
       (1031*t[60])/12 - (230*t[61])/3 - (305*t[62])/12 + (233*t[63])/12 + 
       (21*t[64])/2 + (2119*t[65])/36 + (1333*t[66])/12 + 2*t[68] - 4*t[69] + 
       (10*t[70])/3 - (10*t[71])/3 + 2*t[72] - t[74]/3 - 6*t[75] - 
       (7*t[76])/3 - (13*t[77])/3 - (5*t[78])/3 - (4*t[80])/3 - 
       (59*t[81])/6 + (95*t[82])/6 + 2*t[83] - (113*t[84])/4 - 8*t[85] + 
       (122*t[86])/3 + (305*t[87])/6 + (449*t[88])/12 - (167*t[89])/8 + 
       (2*t[95])/3 - (22*t[96])/3 + (8*t[97])/3 - 16*t[98] - 52*t[99] + 
       170*t[100]) + HPL[{0, 1}, 1 - v]*Qep[w, v, u]*
      ((-128*t[1])/9 + (40*t[2])/9 + (620*t[3])/9 - (424*t[4])/3 - 
       (76*t[5])/9 - (895*t[6])/9 - (964*t[7])/9 - (748*t[8])/3 + 
       (410*t[9])/9 - (532*t[10])/9 - (1553*t[11])/9 + (236*t[12])/9 - 
       (5252*t[13])/81 - (1783*t[14])/27 - (8459*t[15])/81 - (128*t[27])/9 - 
       32*t[28] - (272*t[29])/9 - (112*t[30])/3 + (64*t[31])/9 - 
       (128*t[32])/9 + (128*t[33])/9 + (128*t[34])/9 + 64*t[35] - 
       (32*t[36])/3 - (64*t[37])/3 - (64*t[38])/9 - (136*t[39])/9 - 
       (8*t[40])/3 - (64*t[41])/9 + (64*t[42])/9 - (64*t[43])/9 + 
       (544*t[44])/9 - (16*t[46])/3 - (128*t[47])/9 - (79*t[48])/3 - 
       (28*t[49])/9 + (139*t[50])/9 - (14*t[51])/9 - (11*t[52])/9 - 
       (76*t[53])/3 + 9*t[54] - (160*t[59])/9 - 18*t[60] - 562*t[61] + 
       (619*t[62])/9 + (85*t[63])/9 + (923*t[64])/9 - (962*t[65])/27 + 
       (218*t[66])/27 - (64*t[69])/3 + (64*t[72])/9 - (160*t[73])/3 - 
       32*t[75] - (896*t[76])/9 - (416*t[77])/9 + (1408*t[78])/9 + 
       (256*t[79])/3 + (128*t[80])/9 - (32*t[81])/9 + (112*t[82])/3 + 
       (352*t[83])/3 + (646*t[84])/9 + (1070*t[85])/9 + (2624*t[86])/9 - 
       (34*t[87])/9 - (17*t[88])/9 - (1331*t[89])/9 - (128*t[96])/3 - 
       (256*t[97])/9 - (1600*t[98])/3 + (1600*t[99])/3 + (544*t[100])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*(-14*t[1] - 81*t[2] + 
       (2437*t[3])/12 + 485*t[4] + (1073*t[5])/3 - (1256*t[6])/3 + 
       (89*t[7])/6 - (6577*t[8])/6 - 27*t[9] - (83*t[10])/2 + 551*t[11] - 
       (703*t[12])/3 + (11605*t[13])/36 - (5137*t[14])/36 - 
       (38849*t[15])/216 - 12*t[16] - 72*t[19] + 8*t[23] + 40*t[25] - 
       16*t[26] - 21*t[29] - (412*t[30])/3 + 24*t[31] - (20*t[32])/3 + 
       (20*t[33])/3 - (116*t[34])/3 + 56*t[37] - 24*t[38] + 80*t[39] - 
       (272*t[40])/3 - 36*t[41] + 36*t[42] + 2*t[43] + (841*t[44])/6 - 
       2*t[46] - (1379*t[48])/6 + (391*t[49])/2 - (335*t[50])/6 - 
       (313*t[51])/4 + (335*t[52])/6 - (391*t[53])/2 - 583*t[54] + 
       (17*t[59])/3 + (1714*t[60])/3 + (2443*t[61])/2 + (5317*t[62])/12 - 
       (10025*t[63])/12 - (7537*t[64])/4 - (41209*t[65])/18 - 
       (3861*t[66])/2 + 6*t[68] + 136*t[69] - 72*t[72] + 584*t[73] - 
       108*t[74] - 348*t[75] + (44*t[76])/3 + 12*t[77] + (1244*t[78])/3 - 
       98*t[79] - 476*t[80] + (68*t[81])/3 - 264*t[82] + 136*t[83] - 
       (2287*t[84])/6 - (2371*t[85])/6 - 556*t[86] - (303*t[87])/2 - 
       (295*t[88])/4 - (4001*t[89])/6 - 24*t[97] - 272*t[98] + 864*t[99] + 
       184*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*
      ((-64*t[1])/3 - 247*t[2] - 80*t[3] + (5819*t[4])/6 + (841*t[5])/2 + 
       (1697*t[6])/6 - 325*t[7] - 289*t[8] - (1265*t[9])/6 + (3416*t[10])/3 + 
       (1927*t[11])/3 - (1436*t[12])/3 + (2953*t[13])/6 + (16729*t[14])/72 + 
       (3649*t[15])/12 + 30*t[17] - (56*t[19])/3 + 348*t[20] - 124*t[21] - 
       240*t[22] + 124*t[23] - 24*t[24] + (100*t[26])/3 - 120*t[27] - 
       48*t[29] + 72*t[30] + 156*t[31] - 72*t[32] + 180*t[33] - 96*t[34] + 
       296*t[35] - 72*t[36] - 46*t[37] - (28*t[38])/3 - 168*t[39] + 
       72*t[40] - 86*t[41] + 86*t[42] - 9*t[43] - 24*t[44] + 644*t[45] - 
       72*t[46] - 820*t[47] + (31*t[48])/2 + (3067*t[49])/6 + (531*t[50])/2 - 
       (913*t[51])/8 - (651*t[52])/2 - (1033*t[53])/2 - 335*t[54] - 
       24*t[56] + 48*t[57] + (17*t[59])/3 + (1714*t[60])/3 + (2443*t[61])/2 + 
       (5317*t[62])/12 - (10025*t[63])/12 - (7537*t[64])/4 - 
       (41209*t[65])/18 - (3861*t[66])/2 + 6*t[68] + 136*t[69] - 72*t[72] + 
       584*t[73] - 108*t[74] - 348*t[75] + (44*t[76])/3 + 12*t[77] + 
       (1244*t[78])/3 - 98*t[79] - 476*t[80] + (68*t[81])/3 - 264*t[82] + 
       136*t[83] - (2287*t[84])/6 - (2371*t[85])/6 - 556*t[86] - 
       (303*t[87])/2 - (295*t[88])/4 - (4001*t[89])/6 - 24*t[97] - 
       272*t[98] + 864*t[99] + 184*t[100]) + HPL[{0, 1}, 1 - w]*Qep[v, u, w]*
      ((-80*t[1])/3 + (256*t[2])/3 - (362*t[4])/3 - (320*t[5])/3 + 
       (76*t[6])/3 + 80*t[7] + (320*t[8])/3 + (320*t[9])/3 - (103*t[10])/3 - 
       (4*t[11])/3 + (421*t[12])/3 - (1922*t[13])/27 - (395*t[14])/6 + 
       (85*t[15])/9 + 32*t[26] + (64*t[27])/3 - (64*t[29])/3 + (32*t[30])/3 - 
       64*t[31] + (32*t[34])/3 - (256*t[35])/3 - (32*t[36])/3 + 
       (64*t[37])/3 - 32*t[38] - (32*t[39])/3 - (64*t[40])/3 - (16*t[41])/3 + 
       (16*t[42])/3 - (32*t[43])/3 + 16*t[46] + (4*t[48])/3 - (469*t[49])/3 + 
       (548*t[50])/3 + (233*t[51])/6 - 108*t[52] + (341*t[53])/3 + 42*t[54] + 
       (32*t[58])/3 + (16*t[59])/3 - (770*t[60])/3 - (1466*t[61])/3 + 
       (179*t[62])/3 - (355*t[63])/3 + (523*t[64])/3 + 174*t[65] + 
       (490*t[66])/9 + (128*t[72])/3 - (128*t[73])/3 - (128*t[75])/3 - 
       (608*t[76])/3 - (128*t[77])/3 + (704*t[78])/3 + 64*t[79] - 64*t[80] - 
       (80*t[81])/3 + (128*t[82])/3 + (320*t[83])/3 + (406*t[84])/3 - 
       30*t[85] + (832*t[86])/3 + 250*t[87] + 125*t[88] - (403*t[89])/3 - 
       64*t[96] - (160*t[97])/3 - 1152*t[98] + 1152*t[99] + 192*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v]*((-5*t[1])/2 + 2*t[2] + 
       (583*t[3])/8 - (1585*t[4])/16 + (1171*t[5])/32 - (1235*t[6])/16 + 
       (81*t[7])/8 - (639*t[8])/4 - (2337*t[9])/32 - (267*t[10])/32 - 
       (367*t[11])/4 - (9*t[12])/16 - (2887*t[13])/48 - (8713*t[14])/64 - 
       (4607*t[15])/576 - (9*t[17])/4 + t[19] - 9*t[20] - 3*t[21] + 
       14*t[22] + 3*t[23] - (7*t[24])/2 + (5*t[27])/2 - 8*t[28] - t[29] + 
       (35*t[30])/2 - 5*t[31] - (15*t[32])/2 - (11*t[33])/2 - 6*t[34] + 
       7*t[35] + 6*t[36] + (7*t[38])/4 - (39*t[39])/4 + (39*t[40])/4 - 
       (15*t[41])/4 + (15*t[42])/4 + (35*t[43])/16 + (221*t[44])/8 - 
       (13*t[45])/4 + (5*t[46])/4 + 15*t[47] - (633*t[48])/16 - 
       (1065*t[49])/32 + (439*t[50])/16 + (1033*t[51])/64 - (559*t[52])/16 + 
       (841*t[53])/32 - (149*t[54])/8 + t[55]/4 + (3*t[56])/2 + 3*t[57] - 
       (35*t[59])/8 - (3005*t[60])/16 - (4269*t[61])/16 + (2119*t[62])/32 + 
       (913*t[63])/32 + (4975*t[64])/32 + (3167*t[65])/48 + 
       (12377*t[66])/48 + (11*t[68])/2 - 4*t[70] + 4*t[71] - 9*t[72] + 
       2*t[74] - 2*t[75] - (35*t[76])/2 - (7*t[77])/2 + (35*t[78])/4 + 
       34*t[79] - 5*t[80] - (49*t[81])/2 + (117*t[82])/4 + t[83] - 
       (415*t[84])/16 - (61*t[85])/16 + (481*t[86])/4 + (2053*t[87])/16 + 
       (1509*t[88])/32 - (1117*t[89])/32 + t[91]/12 - t[93] + 4*t[95] - 
       (13*t[96])/2 - (41*t[97])/4 + 24*t[98] - 92*t[99] + 229*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w]*((3*t[1])/8 + 14*t[2] + 
       (609*t[3])/16 - (209*t[4])/4 + (795*t[5])/32 - (239*t[6])/32 - 
       (51*t[7])/16 + (247*t[8])/16 - (1789*t[9])/32 - (515*t[10])/8 - 
       (1889*t[11])/32 - (149*t[12])/32 - (22099*t[13])/288 - 
       (5257*t[14])/48 - (11275*t[15])/576 - (5*t[16])/4 - 6*t[25] - 
       (7*t[26])/4 - (5*t[27])/2 - 2*t[28] + t[29]/2 - (9*t[30])/2 - 
       15*t[31] - t[32] + t[33] + (7*t[34])/4 - 16*t[35] - (3*t[36])/2 + 
       (9*t[37])/2 + (3*t[38])/4 - (25*t[39])/2 - (5*t[40])/4 - (7*t[41])/8 + 
       (7*t[42])/8 - (47*t[43])/8 - (17*t[44])/4 - (95*t[45])/8 - 
       (31*t[46])/4 + (91*t[47])/4 + (521*t[48])/32 + (125*t[49])/16 + 
       (1197*t[50])/32 - (25*t[51])/16 - (709*t[52])/32 - (93*t[53])/16 - 
       (361*t[54])/32 + (7*t[58])/4 - (35*t[59])/8 - (3005*t[60])/16 - 
       (4269*t[61])/16 + (2119*t[62])/32 + (913*t[63])/32 + (4975*t[64])/32 + 
       (3167*t[65])/48 + (12377*t[66])/48 + (11*t[68])/2 - 4*t[70] + 
       4*t[71] - 9*t[72] + 2*t[74] - 2*t[75] - (35*t[76])/2 - (7*t[77])/2 + 
       (35*t[78])/4 + 34*t[79] - 5*t[80] - (49*t[81])/2 + (117*t[82])/4 + 
       t[83] - (415*t[84])/16 - (61*t[85])/16 + (481*t[86])/4 + 
       (2053*t[87])/16 + (1509*t[88])/32 - (1117*t[89])/32 + t[91]/12 - 
       t[93] + 4*t[95] - (13*t[96])/2 - (41*t[97])/4 + 24*t[98] - 92*t[99] + 
       229*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((-17*t[1])/2 + (21*t[2])/2 + (351*t[3])/2 - 
       (21*t[4])/4 + (385*t[5])/4 - (945*t[6])/8 + 10*t[7] - 225*t[8] - 
       (237*t[9])/2 - (971*t[10])/8 - (401*t[11])/8 - (493*t[12])/8 - 
       (395*t[13])/24 - (13157*t[14])/48 - (4603*t[15])/72 + 2*t[17] - 
       18*t[19] - 44*t[20] + 12*t[21] - 12*t[23] + 12*t[24] + 4*t[26] + 
       8*t[27] - 26*t[28] + 24*t[29] + 34*t[30] - 14*t[31] - 33*t[32] + 
       2*t[33] - 9*t[34] - 20*t[35] + 8*t[36] + 16*t[37] - 14*t[39] + 
       39*t[40] - (13*t[41])/2 + (13*t[42])/2 + (17*t[43])/2 + 22*t[44] - 
       (3*t[45])/2 - t[46] + 17*t[47] - (137*t[48])/8 - (77*t[49])/8 - 
       (69*t[50])/8 - (13*t[51])/16 - (211*t[52])/8 - (35*t[53])/8 - 
       (869*t[54])/8 + 12*t[57] - 15*t[59] - 228*t[60] - 502*t[61] + 
       (531*t[62])/4 - (287*t[63])/4 + (1273*t[64])/4 + (124*t[65])/3 + 
       (1225*t[66])/6 - 4*t[68] - 8*t[69] - 12*t[70] + 12*t[71] - 56*t[72] + 
       46*t[73] + 6*t[74] - 94*t[75] + 3*t[76] - 26*t[77] - 43*t[78] + 
       32*t[79] + 34*t[80] - 15*t[81] + 20*t[82] + 14*t[83] - 27*t[84] + 
       105*t[85] + 263*t[86] + 117*t[87] + (21*t[88])/2 + 56*t[89] - 
       6*t[93] + 4*t[95] - 18*t[97] + 72*t[98] - 100*t[99] + 233*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((11*t[1])/2 + (55*t[2])/2 + (19*t[3])/4 - (517*t[4])/4 - 117*t[5] + 
       (131*t[6])/8 + (219*t[7])/4 + (179*t[8])/4 + (127*t[9])/2 - 
       (1399*t[10])/8 - (905*t[11])/8 + (203*t[12])/8 - (2081*t[13])/24 - 
       (6781*t[14])/48 - (202*t[15])/3 - 16*t[25] + 13*t[26] - 24*t[28] - 
       (5*t[29])/2 - 4*t[30] + 16*t[31] + 2*t[32] + 9*t[34] + 32*t[35] + 
       4*t[36] - 14*t[37] + 4*t[38] - 15*t[39] - (23*t[40])/2 - t[41]/2 + 
       t[42]/2 - (19*t[43])/4 - 26*t[45] + 13*t[46] + 54*t[47] - 
       (253*t[48])/8 + t[49]/8 + (283*t[50])/8 - (237*t[51])/16 - 
       (19*t[52])/8 + (215*t[53])/8 + (231*t[54])/8 + 3*t[58] - 15*t[59] - 
       228*t[60] - 502*t[61] + (531*t[62])/4 - (287*t[63])/4 + 
       (1273*t[64])/4 + (124*t[65])/3 + (1225*t[66])/6 - 4*t[68] - 8*t[69] - 
       12*t[70] + 12*t[71] - 56*t[72] + 46*t[73] + 6*t[74] - 94*t[75] + 
       3*t[76] - 26*t[77] - 43*t[78] + 32*t[79] + 34*t[80] - 15*t[81] + 
       20*t[82] + 14*t[83] - 27*t[84] + 105*t[85] + 263*t[86] + 117*t[87] + 
       (21*t[88])/2 + 56*t[89] - 6*t[93] + 4*t[95] - 18*t[97] + 72*t[98] - 
       100*t[99] + 233*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, w, u]*
      ((-32*t[1])/3 - 8*t[2] + 32*t[3] - (272*t[4])/3 + (76*t[5])/3 - 
       (80*t[6])/3 - (208*t[7])/3 - (32*t[8])/3 - 12*t[9] + (232*t[10])/3 - 
       168*t[11] + (100*t[12])/3 - (3536*t[13])/27 - 72*t[14] - 
       (118*t[15])/9 + (64*t[37])/3 + (32*t[48])/3 - 8*t[49] - (32*t[50])/3 - 
       (4*t[51])/3 + (32*t[52])/3 + 8*t[53] + (80*t[54])/3 - (272*t[60])/3 - 
       (1072*t[61])/3 + (124*t[62])/3 + (772*t[63])/3 + (272*t[64])/3 + 
       (1864*t[65])/9 + (1016*t[66])/3 - (128*t[72])/3 + (32*t[73])/3 + 
       (256*t[79])/3 - (128*t[80])/3 + (128*t[86])/3 + (64*t[87])/3 + 
       (32*t[88])/3 + (176*t[89])/3 + (704*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-77*t[1])/12 + (325*t[2])/12 + (2957*t[3])/48 - (249*t[4])/8 + 
       (341*t[5])/12 - (3433*t[6])/48 + (547*t[7])/24 - (1389*t[8])/8 + 
       (469*t[9])/24 - (3241*t[10])/48 - (2861*t[11])/48 - (1675*t[12])/48 - 
       (3635*t[13])/432 - (31985*t[14])/288 - (50737*t[15])/864 + 
       (5*t[17])/4 - 6*t[19] - 4*t[20] - 6*t[21] + 2*t[22] + 6*t[23] - 
       7*t[24] - 2*t[25] + 2*t[26] + (22*t[27])/3 - 4*t[28] - 
       (113*t[29])/12 - (17*t[30])/2 - (56*t[31])/3 - (221*t[32])/12 - 
       (31*t[33])/3 + (121*t[34])/6 + 6*t[35] + 12*t[36] + t[37]/2 - 
       (17*t[38])/6 - (16*t[39])/3 + 2*t[40] - (19*t[41])/3 + (19*t[42])/3 - 
       (13*t[43])/12 + (479*t[44])/24 - 17*t[45] - t[46] + (185*t[47])/6 - 
       (707*t[48])/16 - (403*t[49])/48 + (319*t[50])/48 - (13*t[51])/96 - 
       (647*t[52])/48 + (17*t[53])/16 - (1005*t[54])/16 - t[55] - t[56] - 
       (65*t[59])/6 - (251*t[60])/8 - (2965*t[61])/8 + (937*t[62])/12 - 
       (512*t[63])/3 + (1913*t[64])/48 + (2791*t[65])/36 + (1925*t[66])/36 - 
       (5*t[68])/2 + 2*t[69] - 5*t[70] + 5*t[71] + (22*t[72])/3 + 10*t[73] - 
       (13*t[74])/2 - 48*t[75] + (58*t[76])/3 + (11*t[77])/6 - 
       (223*t[78])/6 - 10*t[79] + (38*t[80])/3 + (7*t[81])/3 + 10*t[82] + 
       17*t[83] + (113*t[84])/6 + (245*t[85])/3 + (317*t[86])/3 + 
       (50*t[87])/3 - (35*t[88])/3 + (391*t[89])/12 + 2*t[93] + 5*t[95] - 
       6*t[96] - (34*t[97])/3 + 32*t[98] - 94*t[99] + 246*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((53*t[1])/6 + (149*t[2])/6 + 40*t[3] - (331*t[4])/6 + (843*t[5])/16 - 
       (301*t[6])/8 + (23*t[7])/4 - (773*t[8])/12 + (55*t[9])/48 - 
       (3203*t[10])/48 - (389*t[11])/8 - (413*t[12])/24 - (401*t[13])/108 - 
       (4369*t[14])/48 - (8741*t[15])/288 + 2*t[20] - 2*t[22] - 
       (27*t[25])/2 - (5*t[26])/2 + (23*t[27])/3 + (20*t[28])/3 - 
       (32*t[29])/3 + (20*t[30])/3 + (25*t[31])/3 + 2*t[32] - 2*t[33] + 
       (25*t[34])/6 + 4*t[35] + (9*t[36])/2 + 11*t[37] + (41*t[38])/3 - 
       2*t[39] - 5*t[40] - (37*t[41])/12 + (37*t[42])/12 + (8*t[43])/3 + 
       (59*t[44])/3 - (13*t[45])/2 + (19*t[46])/4 + 11*t[47] - 
       (913*t[48])/24 - (481*t[49])/16 + (803*t[50])/24 + (341*t[51])/16 - 
       (559*t[52])/24 + (1655*t[53])/48 - (185*t[54])/24 - t[58]/2 - 
       (65*t[59])/6 - (251*t[60])/8 - (2965*t[61])/8 + (937*t[62])/12 - 
       (512*t[63])/3 + (1913*t[64])/48 + (2791*t[65])/36 + (1925*t[66])/36 - 
       (5*t[68])/2 + 2*t[69] - 5*t[70] + 5*t[71] + (22*t[72])/3 + 10*t[73] - 
       (13*t[74])/2 - 48*t[75] + (58*t[76])/3 + (11*t[77])/6 - 
       (223*t[78])/6 - 10*t[79] + (38*t[80])/3 + (7*t[81])/3 + 10*t[82] + 
       17*t[83] + (113*t[84])/6 + (245*t[85])/3 + (317*t[86])/3 + 
       (50*t[87])/3 - (35*t[88])/3 + (391*t[89])/12 + 2*t[93] + 5*t[95] - 
       6*t[96] - (34*t[97])/3 + 32*t[98] - 94*t[99] + 246*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-17*t[1])/6 - (265*t[2])/12 + 44*t[3] + (167*t[4])/8 + (63*t[5])/4 - 
       (2437*t[6])/48 + (133*t[7])/6 - (309*t[8])/2 + (527*t[9])/24 + 
       (2723*t[10])/48 + (1481*t[11])/48 + (799*t[12])/48 + 
       (6737*t[13])/216 - (11429*t[14])/288 - (745*t[15])/54 - t[17]/6 - 
       (10*t[19])/3 + 6*t[20] - 8*t[21] - 2*t[22] + 8*t[23] - (7*t[24])/3 + 
       2*t[26] + (22*t[27])/3 - (37*t[28])/3 - (3*t[29])/2 + (22*t[31])/3 - 
       (43*t[32])/3 - (4*t[33])/3 + (38*t[34])/3 + 3*t[35] + 2*t[36] + 
       (13*t[37])/3 - (8*t[38])/3 - 9*t[39] + t[40]/3 - (16*t[41])/3 + 
       (13*t[42])/3 + (19*t[43])/6 + (33*t[44])/4 - (31*t[45])/3 - 
       (2*t[46])/3 + 15*t[47] - (765*t[48])/16 - (297*t[49])/16 + 
       (857*t[50])/48 + (655*t[51])/96 - (1225*t[52])/48 + (1019*t[53])/48 - 
       (1831*t[54])/48 + t[55]/3 + t[59]/3 - (61*t[60])/3 - (761*t[61])/6 + 
       (1235*t[62])/24 + (149*t[63])/24 - (443*t[64])/4 - (79*t[65])/18 - 
       (50*t[66])/9 + t[68]/3 + 4*t[69] - (10*t[70])/3 + (10*t[71])/3 - 
       (65*t[72])/3 - 12*t[73] - 6*t[74] + 19*t[75] + (47*t[76])/3 - 
       (40*t[78])/3 + 8*t[79] - (41*t[80])/3 - (4*t[81])/3 + (40*t[82])/3 - 
       3*t[83] - (17*t[84])/6 + (92*t[85])/3 - (130*t[86])/3 - (57*t[87])/2 - 
       (141*t[88])/4 - (49*t[89])/8 + 6*t[95] + 8*t[96] - (5*t[97])/3 + 
       132*t[98] - 192*t[99] + 269*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*(-5*t[1] + (61*t[2])/6 + 
       (65*t[3])/6 - (23*t[4])/24 + (289*t[5])/8 - (403*t[6])/48 + t[7]/6 - 
       (181*t[8])/6 + (143*t[9])/6 - (589*t[10])/48 - (2449*t[11])/48 - 
       (177*t[12])/16 - (2213*t[13])/72 + (3097*t[14])/288 - 
       (7009*t[15])/432 - 2*t[20] + 2*t[22] + 3*t[25] - (4*t[26])/3 - 
       (19*t[27])/3 - 2*t[28] - t[29]/2 - (17*t[30])/3 + (16*t[31])/3 + 
       (4*t[32])/3 - (4*t[33])/3 - (2*t[34])/3 + t[36] + (34*t[37])/3 - 
       (5*t[38])/3 + (13*t[39])/6 - 5*t[40] - (2*t[41])/3 + (2*t[42])/3 + 
       (2*t[43])/3 + (33*t[44])/2 - 3*t[45] - t[46]/6 + (16*t[47])/3 + 
       (263*t[48])/48 + (507*t[49])/16 + (13*t[50])/16 - (457*t[51])/32 + 
       (217*t[52])/48 - (593*t[53])/48 - (397*t[54])/48 - (2*t[58])/3 + 
       t[59]/3 - (61*t[60])/3 - (761*t[61])/6 + (1235*t[62])/24 + 
       (149*t[63])/24 - (443*t[64])/4 - (79*t[65])/18 - (50*t[66])/9 + 
       t[68]/3 + 4*t[69] - (10*t[70])/3 + (10*t[71])/3 - (65*t[72])/3 - 
       12*t[73] - 6*t[74] + 19*t[75] + (47*t[76])/3 - (40*t[78])/3 + 
       8*t[79] - (41*t[80])/3 - (4*t[81])/3 + (40*t[82])/3 - 3*t[83] - 
       (17*t[84])/6 + (92*t[85])/3 - (130*t[86])/3 - (57*t[87])/2 - 
       (141*t[88])/4 - (49*t[89])/8 + 6*t[95] + 8*t[96] - (5*t[97])/3 + 
       132*t[98] - 192*t[99] + 269*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((10*t[1])/3 - (77*t[2])/6 + (3157*t[3])/24 - (352*t[4])/3 + 
       (61*t[5])/3 - (2771*t[6])/24 + (353*t[7])/12 - (1823*t[8])/12 - 
       (719*t[9])/12 + (13*t[10])/6 - (403*t[11])/8 + (217*t[12])/12 - 
       (17923*t[13])/216 - (3931*t[14])/24 - (26519*t[15])/432 - 14*t[20] + 
       6*t[22] + 4*t[23] - 4*t[28] + (19*t[29])/6 + (23*t[30])/3 - 2*t[31] + 
       (85*t[32])/6 - (26*t[33])/3 - (32*t[34])/3 + 16*t[35] + 14*t[36] + 
       (10*t[37])/3 + (11*t[38])/3 + (4*t[39])/3 + (23*t[40])/3 + 4*t[41] - 
       4*t[42] + (23*t[43])/3 + (161*t[44])/12 - (7*t[45])/3 + t[46] + 
       (25*t[47])/3 - (1147*t[48])/24 - (95*t[49])/6 + (207*t[50])/8 + 
       (21*t[51])/2 - (893*t[52])/24 + (103*t[53])/6 - (1379*t[54])/24 - 
       (10*t[59])/3 - (2287*t[60])/12 - (1717*t[61])/6 - (1769*t[62])/12 + 
       (307*t[63])/12 + (2069*t[64])/6 + (823*t[65])/9 + (367*t[66])/2 + 
       t[67]/3 - 4*t[69] + 8*t[72] + 10*t[73] - (62*t[74])/3 - 12*t[75] - 
       (4*t[76])/3 - 16*t[77] - (70*t[78])/3 - 8*t[79] + (118*t[80])/3 - 
       24*t[81] + 21*t[82] + 64*t[83] - (217*t[84])/3 - (73*t[85])/3 + 
       (836*t[86])/3 + (383*t[87])/3 + (457*t[88])/6 - (949*t[89])/24 - 
       (4*t[95])/3 - (10*t[96])/3 + (4*t[97])/3 - 8*t[98] - 8*t[99] + 
       287*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(10*t[1] + 28*t[3] - (125*t[4])/2 + (70*t[5])/3 - 
       53*t[6] + (65*t[7])/3 - (11*t[8])/3 - (439*t[9])/6 - (247*t[10])/8 - 
       (57*t[11])/4 + (107*t[12])/8 - (2543*t[13])/36 - (5275*t[14])/72 - 
       (1105*t[15])/72 - t[16]/3 + (10*t[19])/3 - 18*t[25] + (41*t[26])/3 + 
       4*t[27] - 18*t[28] - 2*t[29] - 22*t[31] - 2*t[34] + 16*t[35] + 
       (32*t[36])/3 - (8*t[37])/3 + (17*t[38])/3 - (61*t[39])/3 + 
       (46*t[40])/3 + t[41] - t[42] - (52*t[45])/3 - t[46] + (104*t[47])/3 - 
       (143*t[48])/6 - (109*t[49])/24 + (179*t[50])/6 - (29*t[51])/12 - 
       (53*t[52])/2 + (35*t[53])/8 - (67*t[54])/6 + (7*t[58])/3 - 
       (10*t[59])/3 - (2287*t[60])/12 - (1717*t[61])/6 - (1769*t[62])/12 + 
       (307*t[63])/12 + (2069*t[64])/6 + (823*t[65])/9 + (367*t[66])/2 + 
       t[67]/3 - 4*t[69] + 8*t[72] + 10*t[73] - (62*t[74])/3 - 12*t[75] - 
       (4*t[76])/3 - 16*t[77] - (70*t[78])/3 - 8*t[79] + (118*t[80])/3 - 
       24*t[81] + 21*t[82] + 64*t[83] - (217*t[84])/3 - (73*t[85])/3 + 
       (836*t[86])/3 + (383*t[87])/3 + (457*t[88])/6 - (949*t[89])/24 - 
       (4*t[95])/3 - (10*t[96])/3 + (4*t[97])/3 - 8*t[98] - 8*t[99] + 
       287*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((15*t[1])/4 - (65*t[2])/3 + (517*t[3])/12 + 
       (1435*t[4])/48 + (1759*t[5])/96 - (176*t[6])/3 - (437*t[7])/8 - 
       (887*t[8])/12 - (2411*t[9])/32 + (3555*t[10])/32 + (133*t[11])/48 - 
       (217*t[12])/16 + (359*t[13])/432 - (14429*t[14])/192 - 
       (28895*t[15])/1728 - (2*t[19])/3 + 2*t[20] - 2*t[21] - t[22] + 
       2*t[23] + 3*t[24] + (17*t[27])/3 + 6*t[28] + (7*t[29])/4 + 
       (32*t[30])/3 - 4*t[31] - (19*t[32])/3 + 6*t[33] - (121*t[34])/6 - 
       9*t[35] - 5*t[36] + (19*t[37])/3 + (10*t[38])/3 - (5*t[39])/3 + 
       (23*t[40])/4 + (13*t[41])/12 - (13*t[42])/12 - (127*t[43])/16 + 
       (863*t[44])/24 + (203*t[45])/12 - t[46]/6 - (13*t[47])/3 - 
       (37*t[48])/4 + (283*t[49])/96 - (7*t[50])/6 - (551*t[51])/192 - 
       (23*t[52])/3 + (119*t[53])/32 - (581*t[54])/16 + (3*t[55])/2 - 
       t[56]/2 + t[57] - (35*t[59])/12 - (2059*t[60])/16 - (5201*t[61])/48 - 
       (2023*t[62])/48 - (957*t[63])/16 + (16715*t[64])/96 - 
       (2081*t[65])/36 + (1247*t[66])/144 - (2*t[68])/3 - t[69] - 
       (4*t[70])/3 + (4*t[71])/3 - 4*t[72] - 2*t[73] - (2*t[74])/3 - 
       13*t[75] + (55*t[76])/2 + (14*t[77])/3 - (52*t[78])/3 - (31*t[79])/2 - 
       (67*t[80])/4 - (119*t[81])/6 + (11*t[82])/3 + (7*t[83])/2 - 
       (1631*t[84])/24 - (847*t[85])/24 + (71*t[86])/8 + (2309*t[87])/24 + 
       (1933*t[88])/48 + (143*t[89])/96 + (4*t[95])/3 + (22*t[96])/3 + 
       (11*t[97])/6 + 56*t[98] - 118*t[99] + 289*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((67*t[1])/6 - 7*t[2] + (29*t[3])/2 - (103*t[4])/4 + (527*t[5])/24 - 
       (907*t[6])/24 - (97*t[7])/12 + (19*t[8])/12 - (435*t[9])/8 + 
       (385*t[10])/12 - (299*t[11])/8 - (49*t[12])/8 - (367*t[13])/54 - 
       (2539*t[14])/36 - (539*t[15])/144 - (5*t[16])/3 + (2*t[19])/3 - 
       (25*t[25])/3 + (14*t[27])/3 - 7*t[28] - 4*t[30] - 3*t[31] - 2*t[32] + 
       2*t[33] - t[34] + 8*t[35] - (8*t[36])/3 + (13*t[37])/3 + 9*t[38] - 
       (29*t[39])/3 + (13*t[40])/3 + t[41]/2 - t[42]/2 + t[43] + 2*t[44] - 
       8*t[45] - 4*t[46] + 14*t[47] - (157*t[48])/24 + 5*t[49] - 
       (29*t[50])/24 + (145*t[51])/12 - (9*t[52])/8 - t[53]/3 - 
       (161*t[54])/24 + (2*t[58])/3 - (35*t[59])/12 - (2059*t[60])/16 - 
       (5201*t[61])/48 - (2023*t[62])/48 - (957*t[63])/16 + 
       (16715*t[64])/96 - (2081*t[65])/36 + (1247*t[66])/144 - (2*t[68])/3 - 
       t[69] - (4*t[70])/3 + (4*t[71])/3 - 4*t[72] - 2*t[73] - (2*t[74])/3 - 
       13*t[75] + (55*t[76])/2 + (14*t[77])/3 - (52*t[78])/3 - (31*t[79])/2 - 
       (67*t[80])/4 - (119*t[81])/6 + (11*t[82])/3 + (7*t[83])/2 - 
       (1631*t[84])/24 - (847*t[85])/24 + (71*t[86])/8 + (2309*t[87])/24 + 
       (1933*t[88])/48 + (143*t[89])/96 + (4*t[95])/3 + (22*t[96])/3 + 
       (11*t[97])/6 + 56*t[98] - 118*t[99] + 289*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (-6*t[1] + (45*t[2])/2 + 10*t[3] - (231*t[4])/2 + (15*t[5])/4 - 
       2*t[6] - 81*t[7] + 105*t[8] - (821*t[9])/4 - (401*t[10])/4 - 
       24*t[11] + (339*t[12])/2 - (57*t[13])/2 - (2381*t[14])/24 + 
       (2119*t[15])/24 - 12*t[16] + 12*t[25] - 12*t[26] - 12*t[27] - 
       12*t[28] + 12*t[31] + 30*t[36] + 12*t[37] - 12*t[39] + 22*t[43] + 
       12*t[46] + 19*t[48] - (431*t[49])/4 - 21*t[50] + (399*t[51])/8 + 
       21*t[52] + (431*t[53])/4 + (213*t[54])/2 - 286*t[60] - (681*t[61])/2 + 
       (715*t[62])/2 - (255*t[63])/2 - (263*t[64])/4 + 550*t[65] + 
       (1561*t[66])/3 + 21*t[68] - 12*t[69] + 12*t[72] - 222*t[73] + 
       192*t[75] - 168*t[76] - 12*t[77] - 60*t[79] + 24*t[80] - 12*t[81] + 
       56*t[82] - 44*t[84] + 30*t[85] - 82*t[86] + 198*t[87] + 99*t[88] + 
       (11*t[89])/4 - 96*t[98] + 300*t[100]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w]*(21*t[2] + 202*t[3] - 
       225*t[4] + 58*t[5] + 54*t[7] + 63*t[8] - 258*t[9] - (253*t[10])/2 - 
       196*t[11] + (265*t[12])/2 - (127*t[13])/3 - (3173*t[14])/12 + 
       (125*t[15])/3 - 9*t[17] - 12*t[19] - 72*t[20] + 72*t[22] - 48*t[24] + 
       12*t[27] - 48*t[28] - 28*t[31] + 24*t[32] - 30*t[33] + 12*t[36] + 
       12*t[37] - 12*t[39] - 6*t[41] + 6*t[42] + 16*t[43] + 48*t[44] - 
       168*t[45] + 6*t[46] + 192*t[47] - 60*t[48] - (139*t[49])/2 - 
       40*t[50] + (105*t[51])/4 + 40*t[52] + (139*t[53])/2 - 65*t[54] + 
       6*t[56] - 286*t[60] - (681*t[61])/2 + (715*t[62])/2 - (255*t[63])/2 - 
       (263*t[64])/4 + 550*t[65] + (1561*t[66])/3 + 21*t[68] - 12*t[69] + 
       12*t[72] - 222*t[73] + 192*t[75] - 168*t[76] - 12*t[77] - 60*t[79] + 
       24*t[80] - 12*t[81] + 56*t[82] - 44*t[84] + 30*t[85] - 82*t[86] + 
       198*t[87] + 99*t[88] + (11*t[89])/4 - 96*t[98] + 300*t[100]) + 
     HPL[{0, 1}, 1 - w]*Qep[w, v, u]*((-176*t[1])/9 + (712*t[2])/9 - 
       (32*t[3])/3 - (500*t[4])/9 - 88*t[5] + (16*t[6])/3 + (368*t[7])/3 + 
       (400*t[8])/9 + (568*t[9])/9 - (302*t[10])/9 + 136*t[11] + 
       (1202*t[12])/9 - (812*t[13])/81 - (1079*t[14])/9 + (794*t[15])/27 + 
       32*t[26] + (128*t[27])/9 - (256*t[28])/9 - (128*t[29])/9 + 
       (320*t[30])/9 - (512*t[31])/9 + (32*t[34])/9 - (320*t[35])/3 + 
       (64*t[36])/3 + (64*t[37])/3 - (256*t[38])/9 - (64*t[39])/3 - 
       (64*t[40])/3 - (16*t[41])/9 + (16*t[42])/9 - (64*t[43])/9 + 
       (128*t[44])/9 + (16*t[46])/3 - (176*t[48])/9 - (350*t[49])/3 + 
       (1744*t[50])/9 + 41*t[51] - (1136*t[52])/9 + (794*t[53])/9 - 
       (436*t[54])/9 + (32*t[58])/3 + (80*t[59])/9 - 100*t[60] - 
       (1124*t[61])/3 + (46*t[62])/9 - (1406*t[63])/9 + (1526*t[64])/9 - 
       (308*t[65])/27 + (1172*t[66])/27 + (256*t[72])/9 - (224*t[73])/3 - 
       (32*t[75])/3 - (1568*t[76])/9 - (416*t[77])/9 + (1792*t[78])/9 + 
       (256*t[79])/3 - (448*t[80])/9 - (176*t[81])/9 + (112*t[82])/3 + 
       128*t[83] + (940*t[84])/9 - (508*t[85])/9 + (2240*t[86])/9 + 
       (2060*t[87])/9 + (1030*t[88])/9 - (950*t[89])/9 - (128*t[96])/3 - 
       (352*t[97])/9 - (3136*t[98])/3 + (3136*t[99])/3 + (928*t[100])/3) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v]*(-t[1] - (57*t[2])/4 + 
       (1029*t[3])/8 - (771*t[4])/4 + (151*t[5])/2 - (687*t[6])/4 + 
       (99*t[7])/4 - (979*t[8])/4 - (639*t[9])/4 + (31*t[10])/8 - 
       (273*t[11])/2 - (103*t[12])/8 - (2627*t[13])/24 - (4549*t[14])/16 - 
       (1979*t[15])/144 - (5*t[17])/2 + 4*t[19] - 20*t[20] - 12*t[21] + 
       32*t[22] + 12*t[23] - 8*t[24] + 8*t[27] - 24*t[28] + 2*t[29] + 
       28*t[30] - 16*t[31] + 3*t[32] - 10*t[33] - 32*t[34] + 20*t[35] + 
       4*t[36] + 2*t[37] + (13*t[38])/2 - (39*t[39])/2 + 20*t[40] - 
       (19*t[41])/2 + (19*t[42])/2 - (3*t[43])/2 + (275*t[44])/4 + 33*t[45] + 
       4*t[46] - 9*t[47] - (141*t[48])/2 - (447*t[49])/8 + (117*t[50])/2 + 
       (427*t[51])/16 - (155*t[52])/2 + (367*t[53])/8 - 55*t[54] + 2*t[55] + 
       2*t[56] + 8*t[57] - (47*t[59])/4 - (1819*t[60])/4 - 449*t[61] + 
       (5*t[62])/4 + (123*t[63])/4 + (1479*t[64])/4 + (1511*t[65])/12 + 
       (5015*t[66])/12 + 7*t[68] - 4*t[70] + 4*t[71] + 8*t[72] - 8*t[73] + 
       6*t[74] - 12*t[75] - 27*t[76] - 7*t[77] + t[78]/2 + 80*t[79] - 
       43*t[80] - 69*t[81] + (151*t[82])/2 + 44*t[83] - (269*t[84])/4 - 
       34*t[85] + 314*t[86] + 290*t[87] + 129*t[88] - (717*t[89])/8 + 
       4*t[95] - 11*t[96] - (31*t[97])/2 - 96*t[98] + 8*t[99] + 400*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((29*t[1])/4 + (103*t[2])/4 + (161*t[3])/2 - (389*t[4])/4 + 
       (145*t[5])/4 - (225*t[6])/8 + 42*t[7] + 59*t[8] - (373*t[9])/4 - 
       71*t[10] - (929*t[11])/8 + (15*t[12])/2 - (1424*t[13])/9 - 
       (8987*t[14])/48 - (3293*t[15])/72 - 4*t[16] - 9*t[25] + (3*t[26])/2 + 
       10*t[27] - 6*t[28] - 4*t[29] - 14*t[30] - 32*t[31] + t[34]/2 - 
       24*t[35] - 2*t[36] + 16*t[37] + (19*t[38])/2 - 14*t[39] - 4*t[40] - 
       t[41]/4 + t[42]/4 - 16*t[43] - 18*t[44] - 21*t[45] - (49*t[46])/2 + 
       42*t[47] + (293*t[48])/8 + (55*t[49])/4 + (541*t[50])/8 - 
       (73*t[51])/16 - (305*t[52])/8 - (59*t[53])/4 - (71*t[54])/8 + 
       (9*t[58])/2 - (47*t[59])/4 - (1819*t[60])/4 - 449*t[61] + 
       (5*t[62])/4 + (123*t[63])/4 + (1479*t[64])/4 + (1511*t[65])/12 + 
       (5015*t[66])/12 + 7*t[68] - 4*t[70] + 4*t[71] + 8*t[72] - 8*t[73] + 
       6*t[74] - 12*t[75] - 27*t[76] - 7*t[77] + t[78]/2 + 80*t[79] - 
       43*t[80] - 69*t[81] + (151*t[82])/2 + 44*t[83] - (269*t[84])/4 - 
       34*t[85] + 314*t[86] + 290*t[87] + 129*t[88] - (717*t[89])/8 + 
       4*t[95] - 11*t[96] - (31*t[97])/2 - 96*t[98] + 8*t[99] + 400*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*(42*t[1] + (15*t[2])/2 - 
       (303*t[3])/4 - 444*t[4] + (3089*t[5])/8 + (1359*t[6])/4 - 171*t[7] + 
       (1035*t[8])/2 - (3867*t[9])/8 + (75*t[10])/2 - (589*t[11])/2 - 
       (1325*t[12])/8 - (1855*t[13])/12 - (1781*t[14])/24 + (8225*t[15])/48 - 
       6*t[16] - 66*t[25] - 42*t[26] - 96*t[27] + 60*t[28] - 36*t[29] + 
       66*t[30] + 6*t[31] - 12*t[32] + 12*t[33] - 36*t[35] + 48*t[36] - 
       48*t[37] + 24*t[38] - 36*t[39] - 16*t[40] + 6*t[41] - 6*t[42] + 
       (141*t[43])/4 - 72*t[44] + 36*t[45] + 39*t[46] - 84*t[47] + 
       (675*t[48])/4 + 9*t[49] - (297*t[50])/4 - (27*t[51])/4 + 
       (297*t[52])/4 + 51*t[53] + (57*t[54])/4 + 12*t[59] - (543*t[60])/2 - 
       (419*t[61])/2 + (307*t[62])/2 - (349*t[63])/2 + (475*t[64])/4 + 
       (3853*t[65])/6 + (1533*t[66])/2 + 78*t[68] + 36*t[72] + 72*t[75] - 
       144*t[76] - 35*t[77] + 168*t[78] - 24*t[79] + 90*t[80] + 51*t[81] + 
       9*t[82] + 6*t[83] - 12*t[84] - (399*t[85])/2 + 189*t[86] + 
       (735*t[87])/2 + (735*t[88])/4 + 59*t[89] + t[91] + 6*t[93] - 
       576*t[98] + 720*t[99] + 420*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*(6*t[1] + 66*t[2] + (1215*t[3])/4 - 
       3*t[4] - (2011*t[5])/8 - (555*t[6])/4 + (1317*t[7])/4 - 
       (1383*t[8])/4 + (1835*t[9])/8 - (957*t[10])/4 - (107*t[11])/4 + 
       (307*t[12])/8 - (2207*t[13])/24 - (8567*t[14])/24 - (689*t[15])/48 - 
       45*t[17] + 60*t[20] + 12*t[24] + 24*t[27] + 36*t[29] - 66*t[30] - 
       18*t[31] + 12*t[32] - 30*t[33] + 36*t[35] - 60*t[36] - 48*t[37] - 
       6*t[39] + 16*t[40] + 18*t[41] - 18*t[42] - 24*t[43] + 72*t[44] - 
       (123*t[45])/2 + 18*t[46] + 135*t[47] - 21*t[48] - (273*t[49])/2 + 
       126*t[50] + (363*t[51])/4 - 126*t[52] + (273*t[53])/2 + 117*t[54] + 
       6*t[55] - 12*t[57] + 12*t[59] - (543*t[60])/2 - (419*t[61])/2 + 
       (307*t[62])/2 - (349*t[63])/2 + (475*t[64])/4 + (3853*t[65])/6 + 
       (1533*t[66])/2 + 78*t[68] + 36*t[72] + 72*t[75] - 144*t[76] - 
       35*t[77] + 168*t[78] - 24*t[79] + 90*t[80] + 51*t[81] + 9*t[82] + 
       6*t[83] - 12*t[84] - (399*t[85])/2 + 189*t[86] + (735*t[87])/2 + 
       (735*t[88])/4 + 59*t[89] + t[91] + 6*t[93] - 576*t[98] + 720*t[99] + 
       420*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((179*t[1])/6 - (391*t[2])/24 + (833*t[3])/12 - (657*t[4])/8 + 
       (503*t[5])/12 - (3337*t[6])/48 - (313*t[7])/12 - (255*t[8])/4 - 
       (457*t[9])/12 - (4645*t[10])/48 - (3737*t[11])/48 - (1543*t[12])/48 + 
       (13703*t[13])/216 - (32339*t[14])/288 - (25457*t[15])/432 + 2*t[16] - 
       (3*t[17])/4 + 6*t[18] + 8*t[19] + 6*t[20] + 12*t[21] - 8*t[23] + 
       12*t[24] - (11*t[25])/2 + (3*t[26])/2 + (17*t[27])/6 - 2*t[28] - 
       (103*t[29])/6 - 5*t[30] + (10*t[31])/3 - (14*t[32])/3 + (32*t[33])/3 + 
       (23*t[34])/3 + 4*t[35] + 2*t[36] + (43*t[38])/6 - (59*t[39])/6 + 
       t[40] + (25*t[41])/6 - (11*t[42])/3 - (187*t[43])/12 + (25*t[44])/3 - 
       (53*t[45])/2 + (15*t[46])/4 + (175*t[47])/3 - (385*t[48])/16 - 
       (1027*t[49])/48 - (611*t[50])/48 + (1049*t[51])/96 + (595*t[52])/48 + 
       (257*t[53])/16 - (89*t[54])/16 + t[58] - (34*t[59])/3 - 
       (529*t[60])/8 - (2943*t[61])/8 + (895*t[62])/48 - (10511*t[63])/48 + 
       (10679*t[64])/48 + (13451*t[65])/72 - (1427*t[66])/72 - 2*t[67] - 
       (17*t[68])/2 - 26*t[69] - 4*t[70] + 4*t[71] - (20*t[72])/3 - 6*t[73] - 
       10*t[74] - 6*t[75] + (28*t[76])/3 + (10*t[77])/3 - (86*t[78])/3 + 
       10*t[79] + (167*t[80])/3 - (35*t[81])/3 + 30*t[82] + 24*t[83] - 
       (259*t[84])/24 + (1033*t[85])/24 + (434*t[86])/3 + (1357*t[87])/24 + 
       (1357*t[88])/48 + (4561*t[89])/48 + t[90]/2 + t[92]/2 - t[94]/2 - 
       8*t[96] - (16*t[97])/3 + 128*t[98] - 260*t[99] + 481*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((17*t[1])/6 + (737*t[2])/24 + (63*t[3])/4 - (155*t[4])/3 + 
       (97*t[5])/8 - (203*t[6])/2 + (73*t[7])/2 + (121*t[8])/12 + 
       (73*t[9])/3 + (91*t[10])/12 - (209*t[11])/8 + (89*t[12])/12 + 
       (7349*t[13])/216 - (5077*t[14])/48 - (1931*t[15])/72 + 2*t[16] + 
       (23*t[17])/4 + 16*t[18] - 4*t[19] + 6*t[20] + 4*t[21] - 12*t[23] - 
       4*t[24] - (11*t[25])/2 + (15*t[26])/2 + (49*t[27])/6 - (16*t[28])/3 + 
       t[29]/3 - (10*t[30])/3 - (68*t[31])/3 + 3*t[33] + (53*t[34])/3 - 
       4*t[35] + 4*t[36] - (23*t[38])/6 - 7*t[39] + (19*t[41])/6 - 
       (5*t[42])/3 - (61*t[43])/12 + (8*t[44])/3 - (21*t[45])/2 + 
       (45*t[46])/4 + 32*t[47] + (85*t[48])/12 - (119*t[49])/4 + 
       (421*t[50])/12 + (137*t[51])/16 - (545*t[52])/12 + (293*t[53])/12 - 
       (229*t[54])/12 + 4*t[58] - (34*t[59])/3 - (529*t[60])/8 - 
       (2943*t[61])/8 + (895*t[62])/48 - (10511*t[63])/48 + 
       (10679*t[64])/48 + (13451*t[65])/72 - (1427*t[66])/72 - 2*t[67] - 
       (17*t[68])/2 - 26*t[69] - 4*t[70] + 4*t[71] - (20*t[72])/3 - 6*t[73] - 
       10*t[74] - 6*t[75] + (28*t[76])/3 + (10*t[77])/3 - (86*t[78])/3 + 
       10*t[79] + (167*t[80])/3 - (35*t[81])/3 + 30*t[82] + 24*t[83] - 
       (259*t[84])/24 + (1033*t[85])/24 + (434*t[86])/3 + (1357*t[87])/24 + 
       (1357*t[88])/48 + (4561*t[89])/48 + t[90]/2 + t[92]/2 - t[94]/2 - 
       8*t[96] - (16*t[97])/3 + 128*t[98] - 260*t[99] + 481*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((41*t[1])/4 - (75*t[2])/2 + (39*t[3])/4 + (831*t[4])/8 - 
       (73*t[5])/16 - 87*t[6] + (199*t[7])/8 - (1801*t[8])/8 - 
       (2299*t[9])/16 + (675*t[10])/16 - (431*t[11])/8 - (177*t[12])/8 - 
       (2255*t[13])/72 - (5617*t[14])/32 + (9179*t[15])/288 - 3*t[17] + 
       (13*t[19])/2 + 44*t[20] - 33*t[21] - 13*t[22] + 33*t[23] - 57*t[24] + 
       8*t[25] - (33*t[26])/2 - 7*t[27] - 27*t[28] - (27*t[29])/2 + 
       16*t[30] + 12*t[31] + (17*t[32])/2 - 15*t[33] - (43*t[34])/2 + 
       39*t[35] - 18*t[36] - (39*t[37])/2 + 13*t[38] - 42*t[39] + 12*t[40] - 
       (49*t[41])/4 + (49*t[42])/4 + 16*t[43] + (93*t[44])/4 - 14*t[45] - 
       t[46] + 35*t[47] - (161*t[48])/2 - (197*t[49])/16 + 120*t[50] + 
       (413*t[51])/32 - (263*t[52])/2 - (379*t[53])/16 - (1139*t[54])/8 - 
       t[55]/4 - 2*t[56] + (5*t[58])/2 + t[59]/4 + (1691*t[60])/8 - 
       (3103*t[61])/8 + (2907*t[62])/16 - (2411*t[63])/16 - (4955*t[64])/16 + 
       (3799*t[65])/24 + (13633*t[66])/24 + 8*t[68] + 34*t[69] + 14*t[70] - 
       14*t[71] + 6*t[72] - 30*t[73] - 49*t[74] + 20*t[75] - (755*t[76])/4 - 
       11*t[77] + (903*t[78])/4 + 19*t[79] - 92*t[80] - 29*t[81] + 20*t[82] + 
       47*t[83] + (577*t[84])/8 - (157*t[85])/8 + 41*t[86] + (349*t[87])/8 + 
       (1429*t[88])/16 + (3045*t[89])/16 + t[91]/3 + 6*t[93] - 14*t[95] - 
       38*t[96] - (21*t[97])/2 - 576*t[98] + 674*t[99] + 482*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      (-11*t[1] + (119*t[2])/4 - (877*t[3])/8 - 31*t[4] - (427*t[5])/16 + 
       (3135*t[6])/16 - (681*t[7])/8 + (1919*t[8])/8 + (2229*t[9])/16 + 
       (323*t[10])/4 - (8491*t[11])/16 - (1267*t[12])/16 - 
       (28555*t[13])/144 - (17*t[14])/24 - (5801*t[15])/288 + 7*t[16] - 
       3*t[19] + 5*t[20] + 3*t[21] + 2*t[23] - 15*t[25] - 7*t[26] - 4*t[27] + 
       16*t[28] - t[29]/2 + (17*t[30])/2 - 10*t[31] + 32*t[32] - 5*t[33] + 
       10*t[34] - 7*t[35] + 39*t[36] + 27*t[37] - 2*t[38] - (131*t[39])/4 + 
       6*t[40] - 2*t[41] - t[42]/2 - (5*t[43])/2 - (121*t[44])/2 - t[45] - 
       (59*t[46])/2 + (9*t[47])/2 + (1067*t[48])/16 - (141*t[49])/8 - 
       (293*t[50])/16 + (279*t[51])/8 + (501*t[52])/16 - (139*t[53])/8 + 
       (2741*t[54])/16 + 3*t[58] + t[59]/4 + (1691*t[60])/8 - 
       (3103*t[61])/8 + (2907*t[62])/16 - (2411*t[63])/16 - (4955*t[64])/16 + 
       (3799*t[65])/24 + (13633*t[66])/24 + 8*t[68] + 34*t[69] + 14*t[70] - 
       14*t[71] + 6*t[72] - 30*t[73] - 49*t[74] + 20*t[75] - (755*t[76])/4 - 
       11*t[77] + (903*t[78])/4 + 19*t[79] - 92*t[80] - 29*t[81] + 20*t[82] + 
       47*t[83] + (577*t[84])/8 - (157*t[85])/8 + 41*t[86] + (349*t[87])/8 + 
       (1429*t[88])/16 + (3045*t[89])/16 + t[91]/3 + 6*t[93] - 14*t[95] - 
       38*t[96] - (21*t[97])/2 - 576*t[98] + 674*t[99] + 482*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - v]*((-71*t[1])/4 + 12*t[2] + 
       (439*t[3])/8 - (1517*t[4])/8 + (831*t[5])/16 - (581*t[6])/16 - 
       (955*t[7])/8 - (497*t[8])/8 - (1297*t[9])/16 + (319*t[10])/16 - 
       (2605*t[11])/16 + (897*t[12])/8 - (6041*t[13])/72 - (9469*t[14])/32 + 
       (5621*t[15])/96 - 5*t[16] - 27*t[25] + 36*t[26] + 18*t[27] + 
       24*t[28] + 2*t[29] - 24*t[30] - 14*t[31] + (75*t[32])/4 - 
       (39*t[34])/2 - 42*t[35] + 2*t[36] + 5*t[37] - (39*t[38])/4 - 
       (27*t[39])/4 + 21*t[40] - (15*t[41])/4 + (15*t[42])/4 + 2*t[43] - 
       33*t[44] + (123*t[45])/4 + 24*t[46] - (195*t[47])/4 - (539*t[48])/16 - 
       (3097*t[49])/16 + (833*t[50])/16 + (2383*t[51])/32 - (929*t[52])/16 + 
       (2329*t[53])/16 + (1129*t[54])/16 + (21*t[59])/4 - (581*t[60])/4 - 
       (1017*t[61])/2 + (3519*t[62])/8 + (273*t[63])/8 - (1065*t[64])/8 + 
       (1156*t[65])/3 + (3819*t[66])/4 + 6*t[68] + 24*t[70] - 24*t[71] + 
       33*t[72] - 56*t[73] + 12*t[74] + 141*t[75] - (439*t[76])/4 - 
       (63*t[77])/2 + (423*t[78])/4 + 15*t[79] - 38*t[80] - (175*t[81])/2 + 
       (401*t[82])/4 - 76*t[83] + (79*t[84])/2 - (85*t[85])/2 - 365*t[86] + 
       (927*t[87])/4 + (1735*t[88])/8 + (743*t[89])/8 - 24*t[95] - 
       (111*t[96])/2 - (15*t[97])/2 - 306*t[98] + 180*t[99] + 504*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w]*((-33*t[1])/4 + 14*t[2] - 25*t[3] - 
       (1159*t[4])/8 + (3339*t[5])/16 + (2187*t[6])/16 - (3051*t[7])/8 + 
       (2867*t[8])/8 - (5885*t[9])/16 + (1319*t[10])/16 - (6903*t[11])/16 - 
       (529*t[12])/8 - (24949*t[13])/144 - (19981*t[14])/96 + 
       (3547*t[15])/96 - (3*t[17])/2 + 14*t[19] + 3*t[20] - 4*t[21] - 
       6*t[22] + 4*t[23] + 3*t[24] + 6*t[25] + (3*t[26])/4 + 21*t[27] - 
       27*t[28] - (59*t[29])/2 - 3*t[30] - 27*t[31] + (111*t[32])/2 + 
       9*t[33] - (3*t[34])/2 - 3*t[35] - 15*t[36] - (31*t[37])/2 - 
       (39*t[38])/4 - (165*t[39])/4 - (3*t[40])/2 - (11*t[41])/4 + 
       (11*t[42])/4 - (33*t[43])/2 + (135*t[44])/4 + 17*t[45] + (9*t[46])/2 - 
       55*t[47] + (2291*t[48])/16 - (217*t[49])/16 - (349*t[50])/16 - 
       (83*t[51])/32 + (901*t[52])/16 - (347*t[53])/16 + (1243*t[54])/16 + 
       (9*t[55])/4 + (9*t[58])/4 + (21*t[59])/4 - (581*t[60])/4 - 
       (1017*t[61])/2 + (3519*t[62])/8 + (273*t[63])/8 - (1065*t[64])/8 + 
       (1156*t[65])/3 + (3819*t[66])/4 + 6*t[68] + 24*t[70] - 24*t[71] + 
       33*t[72] - 56*t[73] + 12*t[74] + 141*t[75] - (439*t[76])/4 - 
       (63*t[77])/2 + (423*t[78])/4 + 15*t[79] - 38*t[80] - (175*t[81])/2 + 
       (401*t[82])/4 - 76*t[83] + (79*t[84])/2 - (85*t[85])/2 - 365*t[86] + 
       (927*t[87])/4 + (1735*t[88])/8 + (743*t[89])/8 - 24*t[95] - 
       (111*t[96])/2 - (15*t[97])/2 - 306*t[98] + 180*t[99] + 504*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*(-t[1] - (21*t[2])/4 + 
       (229*t[3])/4 - (221*t[4])/8 + (867*t[5])/16 - 58*t[6] - (349*t[7])/4 - 
       50*t[8] - (1021*t[9])/16 + (753*t[10])/16 - (787*t[11])/8 - 
       (217*t[12])/8 - (1117*t[13])/72 - (10747*t[14])/96 - 
       (9923*t[15])/288 + 5*t[17] - 6*t[19] + 24*t[20] + 6*t[21] - 10*t[22] - 
       10*t[23] + 3*t[24] + 9*t[27] + 6*t[28] + (23*t[29])/2 - 2*t[30] + 
       2*t[31] - 3*t[32] + 6*t[33] + t[34] - 4*t[35] + 15*t[37] - t[38]/2 + 
       t[39]/2 - 4*t[40] - 3*t[41] + 3*t[42] + (5*t[43])/8 + (37*t[44])/4 + 
       (31*t[45])/2 + (7*t[46])/2 - 31*t[47] - 4*t[48] + (267*t[49])/16 - 
       19*t[50] - (339*t[51])/32 + 24*t[52] - (235*t[53])/16 - 
       (263*t[54])/8 + (3*t[55])/2 - t[56] + 2*t[57] - (39*t[59])/4 - 
       (1045*t[60])/8 - (2443*t[61])/8 + (1555*t[62])/16 + (93*t[63])/16 + 
       (913*t[64])/16 - (503*t[65])/24 + (1279*t[66])/24 - 10*t[68] - 
       4*t[70] + 4*t[71] + 10*t[72] - 8*t[73] - 2*t[74] + 12*t[75] + 
       37*t[76] + 5*t[77] - (95*t[78])/2 - 12*t[79] - 36*t[80] - 
       (37*t[81])/2 + 34*t[82] + 20*t[83] - (389*t[84])/8 + (359*t[85])/8 - 
       (101*t[86])/2 + (369*t[87])/8 + (225*t[88])/16 + (825*t[89])/16 - 
       t[91]/6 + 2*t[93] + 4*t[95] + 7*t[96] - t[97]/2 + 120*t[98] - 
       204*t[99] + 535*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((33*t[1])/4 - t[2] + (167*t[3])/8 + 
       (19*t[4])/4 - (3*t[5])/16 - (1109*t[6])/16 - (309*t[7])/8 - 
       (223*t[8])/8 - (511*t[9])/16 + (851*t[10])/8 - (1367*t[11])/16 + 
       (43*t[12])/16 + (739*t[13])/144 - (4261*t[14])/48 - (6877*t[15])/288 - 
       t[16]/2 + t[25] + (7*t[26])/2 + 21*t[27] - 6*t[28] - 5*t[29] + 
       9*t[30] + 16*t[31] - t[34]/2 + 8*t[35] - t[36] + 4*t[37] + 
       (21*t[38])/2 - 3*t[39] - t[40]/2 + t[41]/4 - t[42]/4 - (11*t[43])/4 + 
       (19*t[44])/2 - (9*t[45])/4 + 9*t[46] + (9*t[47])/2 - (457*t[48])/16 - 
       (7*t[49])/4 - (37*t[50])/16 - (79*t[51])/16 + (77*t[52])/16 + 
       (95*t[53])/4 - (155*t[54])/16 - t[58]/2 - (39*t[59])/4 - 
       (1045*t[60])/8 - (2443*t[61])/8 + (1555*t[62])/16 + (93*t[63])/16 + 
       (913*t[64])/16 - (503*t[65])/24 + (1279*t[66])/24 - 10*t[68] - 
       4*t[70] + 4*t[71] + 10*t[72] - 8*t[73] - 2*t[74] + 12*t[75] + 
       37*t[76] + 5*t[77] - (95*t[78])/2 - 12*t[79] - 36*t[80] - 
       (37*t[81])/2 + 34*t[82] + 20*t[83] - (389*t[84])/8 + (359*t[85])/8 - 
       (101*t[86])/2 + (369*t[87])/8 + (225*t[88])/16 + (825*t[89])/16 - 
       t[91]/6 + 2*t[93] + 4*t[95] + 7*t[96] - t[97]/2 + 120*t[98] - 
       204*t[99] + 535*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 
       1 - v]*(12*t[1] - (303*t[2])/2 + (1383*t[3])/4 + 192*t[4] + 
       (957*t[5])/8 + (1167*t[6])/16 - (1287*t[7])/2 + (1323*t[8])/2 - 
       (2517*t[9])/4 + (213*t[10])/4 - (4455*t[11])/16 - (1863*t[12])/8 - 
       86*t[13] - (6005*t[14])/16 - (545*t[15])/24 + (45*t[20])/2 + 
       48*t[29] - 30*t[30] - (51*t[32])/2 - 168*t[34] + 45*t[35] - 66*t[36] + 
       24*t[38] + 42*t[40] - 186*t[44] + 84*t[45] - (51*t[46])/2 - 60*t[47] + 
       (5577*t[48])/16 + 45*t[49] - (2775*t[50])/16 + (189*t[51])/8 + 
       (1719*t[52])/16 - 42*t[53] + (2043*t[54])/16 + 33*t[59] - 
       (3435*t[60])/8 - (2211*t[61])/8 + (7593*t[62])/16 - (561*t[63])/16 + 
       (1089*t[64])/16 + (2829*t[65])/8 + (7855*t[66])/8 + (45*t[69])/2 - 
       117*t[73] - 6*t[74] + 69*t[75] - 60*t[76] - 6*t[78] - 66*t[79] - 
       72*t[80] - (123*t[81])/2 + (21*t[82])/2 + (309*t[83])/4 - 
       (669*t[84])/8 - (1779*t[85])/8 - 183*t[86] + (309*t[87])/8 + 
       (153*t[88])/16 + (4887*t[89])/16 + 12*t[95] - 12*t[97] - 288*t[98] + 
       288*t[99] + (1155*t[100])/2) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(-60*t[1] + 30*t[2] - (207*t[3])/2 - 
       (1911*t[4])/8 - (819*t[5])/8 + (525*t[6])/4 + (153*t[7])/4 + 
       (987*t[8])/4 + (639*t[9])/8 + (1035*t[10])/16 - 273*t[11] + 
       (3417*t[12])/16 - (1011*t[13])/8 - (3525*t[14])/32 + (697*t[15])/4 + 
       (3*t[19])/2 + 90*t[26] + 6*t[28] - 27*t[29] + 27*t[30] - 12*t[34] + 
       6*t[36] + (9*t[37])/2 - 78*t[38] - 24*t[40] + 6*t[41] - 6*t[42] - 
       60*t[44] + (75*t[48])/2 + (309*t[49])/16 + (105*t[50])/2 + 
       (1203*t[51])/32 + (15*t[52])/2 + (195*t[53])/16 + (1167*t[54])/8 + 
       12*t[58] + 33*t[59] - (3435*t[60])/8 - (2211*t[61])/8 + 
       (7593*t[62])/16 - (561*t[63])/16 + (1089*t[64])/16 + (2829*t[65])/8 + 
       (7855*t[66])/8 + (45*t[69])/2 - 117*t[73] - 6*t[74] + 69*t[75] - 
       60*t[76] - 6*t[78] - 66*t[79] - 72*t[80] - (123*t[81])/2 + 
       (21*t[82])/2 + (309*t[83])/4 - (669*t[84])/8 - (1779*t[85])/8 - 
       183*t[86] + (309*t[87])/8 + (153*t[88])/16 + (4887*t[89])/16 + 
       12*t[95] - 12*t[97] - 288*t[98] + 288*t[99] + (1155*t[100])/2) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((253*t[1])/12 - (371*t[2])/6 + (343*t[3])/12 - (8623*t[4])/48 + 
       (5563*t[5])/24 - (1275*t[6])/16 - (247*t[7])/2 + (2987*t[8])/12 - 
       (845*t[9])/3 + (4435*t[10])/96 - (3541*t[11])/16 - (3949*t[12])/96 - 
       (19237*t[13])/432 - (124339*t[14])/576 + (1405*t[15])/96 - 
       (7*t[16])/3 + (19*t[19])/3 + 2*t[20] + 7*t[21] - 2*t[22] - 7*t[23] - 
       (41*t[25])/3 - (91*t[26])/3 - 20*t[27] - (127*t[28])/3 + 
       (29*t[29])/3 - (133*t[30])/3 + (13*t[31])/3 + (88*t[32])/3 - 
       (34*t[33])/3 - (209*t[34])/6 + 48*t[35] + (34*t[36])/3 - 
       (58*t[37])/3 + (113*t[38])/6 - (61*t[39])/2 + (47*t[40])/3 + 
       (47*t[41])/4 - (37*t[42])/4 + 7*t[43] - (40*t[44])/3 - (8*t[45])/3 - 
       40*t[46] + (137*t[47])/3 + (2657*t[48])/48 + (8521*t[49])/96 - 
       (4423*t[50])/48 + (6103*t[51])/192 + (2095*t[52])/48 - 
       (3721*t[53])/96 + (1607*t[54])/24 - 8*t[58] + (67*t[59])/4 - 
       (12529*t[60])/48 - (4011*t[61])/16 - (6133*t[62])/96 - 
       (1145*t[63])/32 + (12929*t[64])/32 + (28939*t[65])/144 + 
       (53237*t[66])/144 - (4*t[68])/3 + t[69] - 3*t[70] + 3*t[71] + 
       (34*t[72])/3 - 93*t[73] - (148*t[74])/3 + 139*t[75] + (139*t[76])/2 + 
       (37*t[77])/3 - (187*t[78])/2 - 56*t[79] + (400*t[80])/3 - 
       (71*t[81])/2 + 66*t[82] - 66*t[83] - (2987*t[84])/16 - 
       (4513*t[85])/48 + (355*t[86])/3 + (6223*t[87])/48 + (1989*t[88])/32 + 
       (1529*t[89])/96 + t[91]/3 - 2*t[93] + (74*t[95])/3 + 48*t[96] + 
       (83*t[97])/2 + 450*t[98] - 734*t[99] + 771*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*((29*t[2])/12 + 48*t[3] - 
       (3187*t[4])/24 + (481*t[5])/4 - (6133*t[6])/96 + (713*t[7])/8 + 
       (2491*t[8])/24 - (3371*t[9])/48 + (5059*t[10])/48 - (1043*t[11])/96 + 
       (2379*t[12])/16 - (533*t[13])/216 - (3437*t[14])/144 + 
       (17435*t[15])/288 - (7*t[17])/3 - (53*t[19])/9 - 32*t[20] + 7*t[21] + 
       24*t[22] - 7*t[23] - (61*t[24])/3 + (22*t[25])/3 + (16*t[26])/3 + 
       31*t[28] + (493*t[29])/12 - 7*t[30] - (2*t[31])/3 + 2*t[32] - 
       (145*t[33])/6 + (73*t[34])/3 - 33*t[35] + (118*t[36])/3 + 
       (41*t[37])/3 - (115*t[38])/6 + (45*t[39])/4 - 25*t[40] + 
       (19*t[41])/2 - (19*t[42])/2 + (27*t[43])/2 - (245*t[44])/6 - 
       122*t[45] - (29*t[46])/2 + 146*t[47] - (1309*t[48])/32 + 
       (1141*t[49])/48 - (2133*t[50])/32 - (905*t[51])/96 + (8447*t[52])/96 - 
       (821*t[53])/48 - (9937*t[54])/96 - (2*t[55])/3 + 2*t[56] + 
       (5*t[58])/3 + (67*t[59])/4 - (12529*t[60])/48 - (4011*t[61])/16 - 
       (6133*t[62])/96 - (1145*t[63])/32 + (12929*t[64])/32 + 
       (28939*t[65])/144 + (53237*t[66])/144 - (4*t[68])/3 + t[69] - 
       3*t[70] + 3*t[71] + (34*t[72])/3 - 93*t[73] - (148*t[74])/3 + 
       139*t[75] + (139*t[76])/2 + (37*t[77])/3 - (187*t[78])/2 - 56*t[79] + 
       (400*t[80])/3 - (71*t[81])/2 + 66*t[82] - 66*t[83] - (2987*t[84])/16 - 
       (4513*t[85])/48 + (355*t[86])/3 + (6223*t[87])/48 + (1989*t[88])/32 + 
       (1529*t[89])/96 + t[91]/3 - 2*t[93] + (74*t[95])/3 + 48*t[96] + 
       (83*t[97])/2 + 450*t[98] - 734*t[99] + 771*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*(25*t[1] + (87*t[2])/4 + 
       (555*t[3])/8 - (743*t[4])/4 + (515*t[5])/2 - (145*t[6])/4 - 
       (1165*t[7])/8 + (95*t[8])/8 - (2021*t[9])/8 + (407*t[10])/4 - 
       (3251*t[11])/8 - (1113*t[12])/8 - (2999*t[13])/144 - (8563*t[14])/48 + 
       (323*t[15])/12 + 8*t[16] + (5*t[17])/2 - 2*t[18] + 4*t[19] + 
       26*t[20] + 18*t[21] + 6*t[22] - 18*t[23] + 10*t[24] - 8*t[25] + 
       5*t[26] + 13*t[27] + 30*t[28] - 11*t[29] + (29*t[30])/2 + 14*t[31] + 
       12*t[33] - 10*t[34] - 16*t[35] + 28*t[36] + 12*t[37] + 11*t[38] + 
       2*t[39] + 8*t[40] + t[41]/2 - (5*t[42])/2 + (81*t[43])/8 - 10*t[44] - 
       (29*t[45])/4 - t[46] + (9*t[47])/2 + (433*t[48])/8 - (515*t[49])/8 - 
       (339*t[50])/8 + (569*t[51])/16 + (339*t[52])/8 + (499*t[53])/8 + 
       (571*t[54])/8 - 4*t[58] - 18*t[59] - (891*t[60])/4 - (1889*t[61])/4 + 
       (851*t[62])/8 - (1759*t[63])/8 + (195*t[64])/4 + (776*t[65])/3 + 
       (1433*t[66])/3 - 8*t[67] - 26*t[68] - 26*t[69] + 18*t[70] - 18*t[71] + 
       18*t[72] - 48*t[73] - 20*t[74] + 94*t[75] - 13*t[76] + 34*t[77] - 
       13*t[78] - 36*t[79] + 53*t[80] - 51*t[81] + 77*t[82] + 2*t[83] - 
       37*t[84] - 46*t[85] - 29*t[86] + 189*t[87] + (189*t[88])/2 + 
       (1519*t[89])/8 - 5*t[92] + 6*t[93] + 5*t[94] - 108*t[98] - 32*t[99] + 
       1013*t[100]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-3*t[1])/2 + (243*t[2])/4 + (121*t[3])/4 - (179*t[4])/2 + 21*t[5] - 
       (849*t[6])/8 - (135*t[7])/8 - (141*t[8])/8 - (391*t[9])/8 + 
       (1185*t[10])/8 - (615*t[11])/4 - 15*t[12] - (6103*t[13])/144 - 
       (919*t[14])/6 + (875*t[15])/144 + 8*t[16] + (11*t[17])/2 + 10*t[18] - 
       8*t[19] + 52*t[20] - 16*t[21] - 5*t[22] + 9*t[23] - 24*t[24] - 
       13*t[25] + 15*t[26] + 2*t[27] - 2*t[28] - 18*t[29] - 24*t[30] - 
       16*t[31] + 5*t[32] - 5*t[33] + 5*t[34] + 16*t[35] + 4*t[36] - 
       14*t[37] - 6*t[38] + 3*t[39] - 25*t[40] + 3*t[41] - 5*t[42] + 
       (69*t[43])/8 + (13*t[44])/2 - (89*t[45])/4 + 22*t[46] + (65*t[47])/2 + 
       15*t[48] - 44*t[49] + (133*t[50])/2 + t[51] - (43*t[52])/2 + 
       (93*t[53])/2 - (127*t[54])/4 - 12*t[57] + 3*t[58] - 18*t[59] - 
       (891*t[60])/4 - (1889*t[61])/4 + (851*t[62])/8 - (1759*t[63])/8 + 
       (195*t[64])/4 + (776*t[65])/3 + (1433*t[66])/3 - 8*t[67] - 26*t[68] - 
       26*t[69] + 18*t[70] - 18*t[71] + 18*t[72] - 48*t[73] - 20*t[74] + 
       94*t[75] - 13*t[76] + 34*t[77] - 13*t[78] - 36*t[79] + 53*t[80] - 
       51*t[81] + 77*t[82] + 2*t[83] - 37*t[84] - 46*t[85] - 29*t[86] + 
       189*t[87] + (189*t[88])/2 + (1519*t[89])/8 - 5*t[92] + 6*t[93] + 
       5*t[94] - 108*t[98] - 32*t[99] + 1013*t[100]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w]*(-32*t[1] - (379*t[2])/2 + 
       (261*t[3])/2 - (331*t[4])/2 + (1319*t[5])/4 - (287*t[6])/8 - 
       (1503*t[7])/4 + (509*t[8])/4 - (1945*t[9])/4 + 401*t[10] - 
       (4335*t[11])/8 - (111*t[12])/2 - (6343*t[13])/24 - (1267*t[14])/2 + 
       (3265*t[15])/72 + t[17] - (130*t[19])/3 + 16*t[20] - 58*t[21] - 
       40*t[22] + 58*t[23] - 102*t[24] + 8*t[25] + (33*t[26])/2 - 14*t[27] - 
       42*t[28] - 6*t[29] - 42*t[30] + 12*t[31] + t[32] + 18*t[33] - 
       36*t[34] - 44*t[35] - 16*t[36] + 33*t[37] - (39*t[38])/2 - 
       (221*t[39])/2 + 40*t[40] - 48*t[41] + 48*t[42] + (35*t[43])/4 - 
       19*t[44] + 71*t[45] - 21*t[46] - 32*t[47] + (453*t[48])/8 + 
       (261*t[49])/4 + (629*t[50])/8 - (245*t[51])/8 - (629*t[52])/8 - 
       (505*t[53])/4 - (1445*t[54])/8 + 4*t[55] - 8*t[56] + 28*t[57] + 
       (7*t[58])/2 + 4*t[59] - (1159*t[60])/4 - (5773*t[61])/4 + 
       (5681*t[62])/8 - (473*t[63])/8 - (1493*t[64])/8 + (3603*t[65])/4 + 
       (15089*t[66])/12 + 6*t[68] + 20*t[70] - 20*t[71] - 4*t[72] + 
       36*t[73] - 166*t[74] - 8*t[75] - 306*t[76] - 85*t[77] + 323*t[78] + 
       62*t[79] - 342*t[80] - 63*t[81] + (229*t[82])/2 + 32*t[83] + 
       (125*t[84])/4 + (419*t[85])/4 + 39*t[86] + (1665*t[87])/4 + 
       (2265*t[88])/8 + (3101*t[89])/8 + t[91]/3 + 4*t[93] - 20*t[95] - 
       83*t[96] - 42*t[97] - 684*t[98] + 504*t[99] + 1136*t[100]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - v]*((-157*t[1])/2 + 14*t[2] + 
       (213*t[3])/4 - (613*t[4])/4 - (1271*t[5])/4 + 86*t[6] - (71*t[7])/2 - 
       (207*t[8])/2 + (1143*t[9])/4 - (2665*t[10])/8 - (2915*t[11])/4 + 
       (2153*t[12])/8 - (8203*t[13])/72 - (10153*t[14])/16 - 
       (3551*t[15])/24 - 14*t[25] + 26*t[26] + 18*t[27] + 20*t[28] - 
       5*t[29] + 38*t[30] + 40*t[31] + 31*t[32] - 6*t[33] - 45*t[34] + 
       8*t[35] + 144*t[36] + 68*t[37] - (75*t[38])/2 - 67*t[39] + 16*t[40] - 
       (11*t[41])/2 + (11*t[42])/2 - (131*t[43])/2 + 95*t[44] - 29*t[45] - 
       38*t[46] + (165*t[47])/2 - (195*t[48])/4 - (1307*t[49])/8 + 
       (363*t[50])/4 + (1931*t[51])/16 - (163*t[52])/4 + (1011*t[53])/8 + 
       (359*t[54])/2 + 6*t[58] + 4*t[59] - (1159*t[60])/4 - (5773*t[61])/4 + 
       (5681*t[62])/8 - (473*t[63])/8 - (1493*t[64])/8 + (3603*t[65])/4 + 
       (15089*t[66])/12 + 6*t[68] + 20*t[70] - 20*t[71] - 4*t[72] + 
       36*t[73] - 166*t[74] - 8*t[75] - 306*t[76] - 85*t[77] + 323*t[78] + 
       62*t[79] - 342*t[80] - 63*t[81] + (229*t[82])/2 + 32*t[83] + 
       (125*t[84])/4 + (419*t[85])/4 + 39*t[86] + (1665*t[87])/4 + 
       (2265*t[88])/8 + (3101*t[89])/8 + t[91]/3 + 4*t[93] - 20*t[95] - 
       83*t[96] - 42*t[97] - 684*t[98] + 504*t[99] + 1136*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((423*t[1])/8 - (971*t[2])/8 + (109*t[3])/4 + (425*t[4])/2 + 
       (277*t[5])/8 - (4293*t[6])/16 + (385*t[7])/8 - (5299*t[8])/8 - 
       (4055*t[9])/8 + (1801*t[10])/16 - (2657*t[11])/16 - (1225*t[12])/16 - 
       (487*t[13])/6 - (9189*t[14])/16 + (343*t[15])/3 - 9*t[17] + 26*t[19] + 
       135*t[20] - 103*t[21] - 42*t[22] + 103*t[23] - 168*t[24] + 21*t[25] - 
       (237*t[26])/4 - 24*t[27] - 102*t[28] - (89*t[29])/2 + 60*t[30] + 
       36*t[31] + (51*t[32])/2 - 42*t[33] - (285*t[34])/4 + 111*t[35] - 
       (93*t[36])/2 - (107*t[37])/2 + (111*t[38])/2 - 129*t[39] + 
       (87*t[40])/2 - (283*t[41])/8 + (283*t[42])/8 + 42*t[43] + 
       (327*t[44])/4 - 39*t[45] - 21*t[46] + 91*t[47] - (3631*t[48])/16 - 
       (185*t[49])/16 + (5937*t[50])/16 + (937*t[51])/16 - (6333*t[52])/16 - 
       (1063*t[53])/16 - (6317*t[54])/16 - (3*t[55])/2 - 6*t[56] + 
       (33*t[58])/4 + (9*t[59])/8 + 490*t[60] - (9477*t[61])/8 + 
       (4565*t[62])/8 - (3061*t[63])/8 - (11565*t[64])/16 + 
       (10523*t[65])/24 + (21593*t[66])/12 + 24*t[68] + 102*t[69] + 
       24*t[70] - 24*t[71] + 21*t[72] - 114*t[73] - (309*t[74])/2 + 
       76*t[75] - (2241*t[76])/4 - 42*t[77] + (2685*t[78])/4 + 46*t[79] - 
       273*t[80] - (317*t[81])/4 + 77*t[82] + 186*t[83] + (1315*t[84])/8 - 
       (615*t[85])/4 + 58*t[86] + (981*t[87])/4 + (2409*t[88])/8 + 
       (4279*t[89])/8 + t[91] + 18*t[93] - 27*t[95] - 93*t[96] - 
       (105*t[97])/4 - 1782*t[98] + 1968*t[99] + 1680*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-125*t[1])/4 + (261*t[2])/4 - (4631*t[3])/16 - (531*t[4])/8 - 
       (905*t[5])/16 + 505*t[6] - (2441*t[7])/8 + (5517*t[8])/8 + 
       (5061*t[9])/16 + (5141*t[10])/16 - (12717*t[11])/8 - (1621*t[12])/8 - 
       (15031*t[13])/24 - (2235*t[14])/32 - (419*t[15])/6 + 19*t[16] - 
       9*t[19] + 15*t[20] + 9*t[21] + 6*t[23] - 53*t[25] - 13*t[26] - 
       12*t[27] + 48*t[28] - (75*t[29])/4 + 63*t[30] - 34*t[31] + 
       (153*t[32])/2 - 27*t[33] + 39*t[34] - 31*t[35] + 118*t[36] + 
       83*t[37] - (3*t[38])/2 - 84*t[39] + (27*t[40])/2 - (9*t[41])/2 - 
       3*t[42] - 11*t[43] - (1593*t[44])/8 - (15*t[45])/4 - 83*t[46] + 
       (75*t[47])/4 + (379*t[48])/2 - (1089*t[49])/16 - 79*t[50] + 
       (3435*t[51])/32 + 97*t[52] - (519*t[53])/16 + 495*t[54] + 9*t[58] + 
       (9*t[59])/8 + 490*t[60] - (9477*t[61])/8 + (4565*t[62])/8 - 
       (3061*t[63])/8 - (11565*t[64])/16 + (10523*t[65])/24 + 
       (21593*t[66])/12 + 24*t[68] + 102*t[69] + 24*t[70] - 24*t[71] + 
       21*t[72] - 114*t[73] - (309*t[74])/2 + 76*t[75] - (2241*t[76])/4 - 
       42*t[77] + (2685*t[78])/4 + 46*t[79] - 273*t[80] - (317*t[81])/4 + 
       77*t[82] + 186*t[83] + (1315*t[84])/8 - (615*t[85])/4 + 58*t[86] + 
       (981*t[87])/4 + (2409*t[88])/8 + (4279*t[89])/8 + t[91] + 18*t[93] - 
       27*t[95] - 93*t[96] - (105*t[97])/4 - 1782*t[98] + 1968*t[99] + 
       1680*t[100]) + HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w]*
      ((-105*t[1])/2 - 211*t[2] + (1317*t[3])/8 - (2725*t[4])/8 + 
       (4055*t[5])/8 + (1693*t[6])/16 - (7135*t[7])/8 + (4641*t[8])/8 - 
       (7307*t[9])/8 + (7391*t[10])/16 - (17951*t[11])/16 - (1753*t[12])/16 - 
       (84433*t[13])/144 - (34439*t[14])/32 + (1855*t[15])/48 - 43*t[19] + 
       45*t[20] - 55*t[21] - 78*t[22] + 55*t[23] - 138*t[24] + 6*t[25] + 
       (117*t[26])/4 - 42*t[28] - (83*t[29])/2 - 12*t[30] + 9*t[31] + 
       87*t[32] + 18*t[33] - 42*t[34] - 69*t[35] - 45*t[36] + (55*t[37])/2 - 
       (135*t[38])/4 - (561*t[39])/4 + 24*t[40] - (103*t[41])/2 + 
       (103*t[42])/2 - (33*t[43])/8 + (123*t[44])/4 + (205*t[45])/2 - 
       (39*t[46])/2 - 85*t[47] + (4133*t[48])/16 + (1047*t[49])/16 + 
       (1237*t[50])/16 - (729*t[51])/32 - (517*t[52])/16 - (2571*t[53])/16 - 
       (771*t[54])/16 + (39*t[55])/4 - 12*t[56] + 30*t[57] + (15*t[58])/4 + 
       9*t[59] - (1955*t[60])/4 - (9453*t[61])/4 + (3139*t[62])/2 - 
       94*t[63] - (1033*t[64])/4 + 1629*t[65] + (7853*t[66])/3 + 9*t[68] + 
       42*t[70] - 42*t[71] + 33*t[72] + 32*t[73] - 243*t[74] + 75*t[75] - 
       (1943*t[76])/4 - (231*t[77])/2 + (2181*t[78])/4 + 60*t[79] - 
       431*t[80] - (209*t[81])/2 + (1009*t[82])/4 - 98*t[83] + 
       (445*t[84])/4 + (237*t[85])/2 - (759*t[86])/2 + (3263*t[87])/4 + 
       (4655*t[88])/8 + 677*t[89] + t[91]/2 + 6*t[93] - 42*t[95] - 
       (327*t[96])/2 - 75*t[97] - 1206*t[98] + 882*t[99] + 1857*t[100]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - v]*((-431*t[1])/4 + 9*t[2] + 
       (777*t[3])/8 - (3139*t[4])/8 - (575*t[5])/2 + (3753*t[6])/16 - 
       (1147*t[7])/4 - 91*t[8] + (1465*t[9])/8 - (6209*t[10])/16 - 
       (18015*t[11])/16 + (5783*t[12])/16 - (16195*t[13])/144 - 
       (35217*t[14])/32 - (1683*t[15])/16 - 2*t[16] - 72*t[25] + 87*t[26] + 
       51*t[27] + 66*t[28] + (35*t[29])/2 + 54*t[30] + 24*t[31] + 
       (63*t[32])/4 + 3*t[33] - (81*t[34])/2 - 78*t[35] + 196*t[36] + 
       65*t[37] - (243*t[38])/4 - (423*t[39])/4 + 51*t[40] - (57*t[41])/4 + 
       (57*t[42])/4 - (223*t[43])/4 + (285*t[44])/4 - (21*t[45])/2 - 
       39*t[46] + (141*t[47])/4 - (947*t[48])/16 - (6515*t[49])/16 + 
       (2145*t[50])/16 + (7649*t[51])/32 - (1233*t[52])/16 + 
       (5243*t[53])/16 + (5473*t[54])/16 + 9*t[58] + 9*t[59] - 
       (1955*t[60])/4 - (9453*t[61])/4 + (3139*t[62])/2 - 94*t[63] - 
       (1033*t[64])/4 + 1629*t[65] + (7853*t[66])/3 + 9*t[68] + 42*t[70] - 
       42*t[71] + 33*t[72] + 32*t[73] - 243*t[74] + 75*t[75] - 
       (1943*t[76])/4 - (231*t[77])/2 + (2181*t[78])/4 + 60*t[79] - 
       431*t[80] - (209*t[81])/2 + (1009*t[82])/4 - 98*t[83] + 
       (445*t[84])/4 + (237*t[85])/2 - (759*t[86])/2 + (3263*t[87])/4 + 
       (4655*t[88])/8 + 677*t[89] + t[91]/2 + 6*t[93] - 42*t[95] - 
       (327*t[96])/2 - 75*t[97] - 1206*t[98] + 882*t[99] + 1857*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((249*t[1])/4 - 189*t[2] + (287*t[3])/4 - (2061*t[4])/4 + 
       (17591*t[5])/24 - (10601*t[6])/48 - 353*t[7] + (3045*t[8])/4 - 
       (2540*t[9])/3 + (1369*t[10])/8 - (31183*t[11])/48 - (338*t[12])/3 - 
       (4045*t[13])/24 - (28357*t[14])/48 + (4697*t[15])/72 - 9*t[16] + 
       19*t[19] + 6*t[20] + 21*t[21] - 6*t[22] - 21*t[23] - 49*t[25] - 
       83*t[26] - 64*t[27] - 119*t[28] + 26*t[29] - 133*t[30] + 5*t[31] + 
       85*t[32] - 31*t[33] - (211*t[34])/2 + 134*t[35] + 35*t[36] - 
       53*t[37] + 57*t[38] - 88*t[39] + (99*t[40])/2 + (143*t[41])/4 - 
       (113*t[42])/4 + 21*t[43] - 29*t[44] - 8*t[45] - 116*t[46] + 
       134*t[47] + (8957*t[48])/48 + (2197*t[49])/8 - (13915*t[50])/48 + 
       85*t[51] + (6883*t[52])/48 - (957*t[53])/8 + (10195*t[54])/48 - 
       24*t[58] + (203*t[59])/4 - (18439*t[60])/24 - (4669*t[61])/8 - 
       (3665*t[62])/16 - (5357*t[63])/48 + (54605*t[64])/48 + 
       (44297*t[65])/72 + (80749*t[66])/72 - 4*t[68] + 3*t[69] - 9*t[70] + 
       9*t[71] + 23*t[72] - 270*t[73] - 148*t[74] + 442*t[75] + 249*t[76] + 
       53*t[77] - 317*t[78] - 146*t[79] + 402*t[80] - (193*t[81])/2 + 
       (337*t[82])/2 - 267*t[83] - (13259*t[84])/24 - (7301*t[85])/24 + 
       295*t[86] + (8711*t[87])/24 + (8311*t[88])/48 + (2341*t[89])/48 + 
       t[91] - 6*t[93] + 74*t[95] + 147*t[96] + (253*t[97])/2 + 1536*t[98] - 
       2244*t[99] + 1911*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(t[1] - t[2]/4 + (273*t[3])/2 - 
       (9167*t[4])/24 + (2723*t[5])/8 - (3221*t[6])/24 + 293*t[7] + 
       (1433*t[8])/4 - (1735*t[9])/8 + (13327*t[10])/48 + (377*t[11])/24 + 
       (22385*t[12])/48 + (163*t[13])/9 - (8971*t[14])/288 + 
       (6991*t[15])/36 - 7*t[17] - 14*t[19] - 93*t[20] + 17*t[21] + 
       69*t[22] - 17*t[23] - 58*t[24] + 22*t[25] + 16*t[26] + 7*t[27] + 
       99*t[28] + 116*t[29] - (9*t[30])/2 - 22*t[31] + 10*t[32] - 
       (147*t[33])/2 + 72*t[34] - 111*t[35] + 121*t[36] + 38*t[37] - 
       57*t[38] + 47*t[39] - (171*t[40])/2 + 27*t[41] - 27*t[42] + 
       (73*t[43])/2 - (465*t[44])/4 - 366*t[45] - 42*t[46] + 434*t[47] - 
       (941*t[48])/8 + (2393*t[49])/48 - (1585*t[50])/8 - (2221*t[51])/96 + 
       (2089*t[52])/8 - (1337*t[53])/48 - (3467*t[54])/12 - (3*t[55])/2 + 
       6*t[56] + 5*t[58] + (203*t[59])/4 - (18439*t[60])/24 - 
       (4669*t[61])/8 - (3665*t[62])/16 - (5357*t[63])/48 + 
       (54605*t[64])/48 + (44297*t[65])/72 + (80749*t[66])/72 - 4*t[68] + 
       3*t[69] - 9*t[70] + 9*t[71] + 23*t[72] - 270*t[73] - 148*t[74] + 
       442*t[75] + 249*t[76] + 53*t[77] - 317*t[78] - 146*t[79] + 402*t[80] - 
       (193*t[81])/2 + (337*t[82])/2 - 267*t[83] - (13259*t[84])/24 - 
       (7301*t[85])/24 + 295*t[86] + (8711*t[87])/24 + (8311*t[88])/48 + 
       (2341*t[89])/48 + t[91] - 6*t[93] + 74*t[95] + 147*t[96] + 
       (253*t[97])/2 + 1536*t[98] - 2244*t[99] + 1911*t[100]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - v]*(-27*t[1] - 18*t[2] + (573*t[3])/2 - 
       (2841*t[4])/2 + (3849*t[5])/4 + 273*t[6] - (2883*t[7])/2 - 
       (51*t[8])/2 - (5289*t[9])/4 + (1953*t[10])/4 - (1449*t[11])/2 + 
       (503*t[12])/2 - 67*t[13] - (14275*t[14])/8 + (16997*t[15])/24 - 
       24*t[16] - 312*t[25] + 336*t[26] + 168*t[27] + 240*t[28] + 108*t[29] - 
       108*t[30] - 208*t[31] - 48*t[32] + 48*t[33] + 30*t[34] - 528*t[35] - 
       96*t[36] - 144*t[37] - 57*t[38] - 48*t[39] + 192*t[40] - 39*t[41] + 
       39*t[42] + 186*t[43] - 417*t[44] + 255*t[45] + 168*t[46] - 549*t[47] - 
       75*t[48] - (5691*t[49])/4 + 204*t[50] + (4239*t[51])/8 - 300*t[52] + 
       (4539*t[53])/4 + (1107*t[54])/2 + 33*t[59] - (1595*t[60])/2 - 
       (5535*t[61])/2 + (14971*t[62])/4 + (341*t[63])/4 - (1367*t[64])/4 + 
       (15841*t[65])/6 + (39883*t[66])/6 + 24*t[68] + 144*t[70] - 144*t[71] + 
       288*t[72] - 312*t[73] + 72*t[74] + 912*t[75] - 546*t[76] - 78*t[77] + 
       666*t[78] - 72*t[79] + 240*t[80] - 378*t[81] + 711*t[82] - 888*t[83] + 
       (835*t[84])/2 - (633*t[85])/2 - 3180*t[86] + (3393*t[87])/2 + 
       (5993*t[88])/4 + (3015*t[89])/4 - 144*t[95] - 378*t[96] - 78*t[97] - 
       1944*t[98] + 1224*t[99] + 2628*t[100]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w]*(-51*t[1] + 357*t[2] - (453*t[3])/2 - 
       933*t[4] + (3399*t[5])/4 + (4765*t[6])/4 - (5673*t[7])/2 + 
       (6057*t[8])/2 - (8685*t[9])/4 - (413*t[10])/2 - (11905*t[11])/4 - 
       (1399*t[12])/4 - (17393*t[13])/12 - (15781*t[14])/12 + 
       (287*t[15])/24 - 12*t[17] + 140*t[19] + 96*t[20] + 120*t[21] - 
       96*t[22] - 120*t[23] + 72*t[24] + 21*t[26] + 168*t[27] - 24*t[28] - 
       248*t[29] + 192*t[30] - 144*t[31] + 564*t[32] + 42*t[34] - 24*t[35] - 
       144*t[36] - 150*t[37] - 57*t[38] - 63*t[39] - 150*t[40] + 75*t[41] - 
       75*t[42] - 135*t[43] + 372*t[44] + 36*t[45] + 66*t[46] - 336*t[47] + 
       (5073*t[48])/4 - 188*t[49] - (1071*t[50])/4 + (337*t[51])/4 + 
       (2343*t[52])/4 + 32*t[53] + (4911*t[54])/4 + 24*t[55] - 48*t[57] + 
       3*t[58] + 33*t[59] - (1595*t[60])/2 - (5535*t[61])/2 + 
       (14971*t[62])/4 + (341*t[63])/4 - (1367*t[64])/4 + (15841*t[65])/6 + 
       (39883*t[66])/6 + 24*t[68] + 144*t[70] - 144*t[71] + 288*t[72] - 
       312*t[73] + 72*t[74] + 912*t[75] - 546*t[76] - 78*t[77] + 666*t[78] - 
       72*t[79] + 240*t[80] - 378*t[81] + 711*t[82] - 888*t[83] + 
       (835*t[84])/2 - (633*t[85])/2 - 3180*t[86] + (3393*t[87])/2 + 
       (5993*t[88])/4 + (3015*t[89])/4 - 144*t[95] - 378*t[96] - 78*t[97] - 
       1944*t[98] + 1224*t[99] + 2628*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*(-8*t[1] - (281*t[2])/4 + (563*t[3])/4 + 
       40*t[4] + (477*t[5])/8 - (189*t[6])/2 - (217*t[7])/2 - 150*t[8] - 
       (1723*t[9])/8 - 73*t[10] + (395*t[11])/4 + (129*t[12])/8 + 
       (3883*t[13])/36 - (819*t[14])/8 + (7043*t[15])/144 + 12*t[20] + 
       8*t[28] + 9*t[29] + 70*t[30] - 39*t[32] + 11*t[33] + 12*t[34] - 
       8*t[35] - 4*t[38] + 8*t[39] + 8*t[40] - 2*t[41] + 2*t[42] - 
       (87*t[44])/2 - 28*t[45] + 28*t[47] - (173*t[48])/2 - t[49] - 
       (17*t[50])/2 - (3*t[51])/2 - (31*t[52])/2 + t[53] - 97*t[54] + 
       7*t[59] - (973*t[60])/4 - (33*t[61])/2 + (1035*t[62])/8 + 
       (3167*t[63])/8 + (597*t[64])/4 - (85*t[65])/6 - (175*t[66])/6 - 
       4*t[69] - 16*t[70] + 16*t[71] - 30*t[74] - 80*t[75] + 44*t[76] - 
       48*t[78] - 16*t[79] + 56*t[80] + (37*t[81])/2 - (5*t[82])/2 + 
       86*t[83] - 81*t[84] - (161*t[85])/4 - 24*t[86] + (353*t[87])/4 - 
       (407*t[88])/8 - (371*t[89])/4 + 36*t[95] + 16*t[96] - 8*t[97] + 
       288*t[98] - 288*t[99] - 234*t[100] - 48*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*(-8*t[1] + 12*t[2] - 
       (23*t[3])/2 - (351*t[4])/2 - (29*t[5])/4 + (147*t[6])/8 + 
       (35*t[7])/2 + (81*t[8])/2 + (251*t[9])/4 - (239*t[10])/2 - 
       (1361*t[11])/8 - (29*t[12])/2 - (332*t[13])/9 + (805*t[14])/24 + 
       (143*t[15])/8 - 8*t[16] + 37*t[25] - 31*t[26] - 8*t[33] + 14*t[36] + 
       16*t[37] - 10*t[38] + 8*t[39] - 8*t[40] - 4*t[45] - (79*t[46])/2 + 
       4*t[47] + (195*t[48])/8 + 98*t[49] - (21*t[50])/8 + (35*t[51])/4 + 
       (117*t[52])/8 - 39*t[53] + (905*t[54])/8 + 7*t[59] - (973*t[60])/4 - 
       (33*t[61])/2 + (1035*t[62])/8 + (3167*t[63])/8 + (597*t[64])/4 - 
       (85*t[65])/6 - (175*t[66])/6 - 4*t[69] - 16*t[70] + 16*t[71] - 
       30*t[74] - 80*t[75] + 44*t[76] - 48*t[78] - 16*t[79] + 56*t[80] + 
       (37*t[81])/2 - (5*t[82])/2 + 86*t[83] - 81*t[84] - (161*t[85])/4 - 
       24*t[86] + (353*t[87])/4 - (407*t[88])/8 - (371*t[89])/4 + 36*t[95] + 
       16*t[96] - 8*t[97] + 288*t[98] - 288*t[99] - 234*t[100] - 48*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*(-4*t[1] - (127*t[2])/4 + 
       (579*t[3])/8 + (163*t[4])/8 + (119*t[5])/4 - (97*t[6])/2 - 
       (219*t[7])/4 - 82*t[8] - (409*t[9])/4 - (523*t[10])/16 + 
       (383*t[11])/8 + (101*t[12])/16 + (1859*t[13])/36 - (5165*t[14])/96 + 
       (199*t[15])/9 + 5*t[20] + 6*t[28] + 6*t[29] + 35*t[30] - 
       (39*t[32])/2 + 2*t[33] + 6*t[34] - 6*t[35] - 2*t[38] + 4*t[39] + 
       4*t[40] - t[41] + t[42] - (103*t[44])/4 - 14*t[45] + 14*t[47] - 
       (171*t[48])/4 - (5*t[49])/16 - (19*t[50])/4 - (27*t[51])/32 - 
       (29*t[52])/4 + (5*t[53])/16 - (387*t[54])/8 + (13*t[59])/4 - 
       (983*t[60])/8 - (139*t[61])/8 + (1147*t[62])/16 + (2995*t[63])/16 + 
       (1253*t[64])/16 - (11*t[65])/4 - (9*t[66])/2 - 3*t[69] - 8*t[70] + 
       8*t[71] - 13*t[74] - 36*t[75] + 22*t[76] - 24*t[78] - 8*t[79] + 
       28*t[80] + (35*t[81])/4 - (3*t[82])/4 + (73*t[83])/2 - (165*t[84])/4 - 
       (161*t[85])/8 - 14*t[86] + (325*t[87])/8 - (459*t[88])/16 - 
       (693*t[89])/16 + 18*t[95] + 8*t[96] - 4*t[97] + 144*t[98] - 
       144*t[99] - 93*t[100] - 24*t[101]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*((-7*t[1])/2 + 6*t[2] - 5*t[3] - 
       (349*t[4])/4 - 2*t[5] + (135*t[6])/16 + (15*t[7])/2 + (35*t[8])/2 + 
       29*t[9] - 58*t[10] - (1385*t[11])/16 - (57*t[12])/8 - 
       (1583*t[13])/72 + (173*t[14])/16 + (73*t[15])/8 - 4*t[16] + 
       (33*t[25])/2 - 14*t[26] - 4*t[33] + 5*t[36] + 8*t[37] - (9*t[38])/2 + 
       4*t[39] - 4*t[40] - 2*t[45] - (77*t[46])/4 + 2*t[47] + 
       (183*t[48])/16 + 48*t[49] - (9*t[50])/16 + (53*t[51])/8 + 
       (105*t[52])/16 - 19*t[53] + (893*t[54])/16 + (13*t[59])/4 - 
       (983*t[60])/8 - (139*t[61])/8 + (1147*t[62])/16 + (2995*t[63])/16 + 
       (1253*t[64])/16 - (11*t[65])/4 - (9*t[66])/2 - 3*t[69] - 8*t[70] + 
       8*t[71] - 13*t[74] - 36*t[75] + 22*t[76] - 24*t[78] - 8*t[79] + 
       28*t[80] + (35*t[81])/4 - (3*t[82])/4 + (73*t[83])/2 - (165*t[84])/4 - 
       (161*t[85])/8 - 14*t[86] + (325*t[87])/8 - (459*t[88])/16 - 
       (693*t[89])/16 + 18*t[95] + 8*t[96] - 4*t[97] + 144*t[98] - 
       144*t[99] - 93*t[100] - 24*t[101]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((-80*t[1])/3 + (35*t[2])/6 - 
       (1553*t[3])/24 + (781*t[4])/4 + (827*t[5])/3 + (617*t[6])/48 - 
       (2351*t[7])/24 - (1049*t[8])/8 - (994*t[9])/3 + (665*t[10])/3 - 
       (8291*t[11])/48 - (5075*t[12])/24 + (11101*t[13])/432 - (94*t[14])/9 + 
       (93397*t[15])/432 + 4*t[16] + (15*t[17])/2 - 22*t[18] - 14*t[21] + 
       4*t[22] + 14*t[23] - 24*t[24] + 35*t[25] - 29*t[26] + (85*t[27])/3 + 
       42*t[28] + (157*t[29])/3 - (20*t[31])/3 + (59*t[32])/6 - 
       (70*t[33])/3 - (61*t[34])/3 - 44*t[35] + 48*t[36] + 27*t[37] - 
       (28*t[38])/3 - (209*t[39])/6 + 82*t[40] - (89*t[41])/6 + 
       (47*t[42])/6 + (1237*t[43])/24 - (809*t[44])/12 + (125*t[45])/4 - 
       (17*t[46])/2 - (613*t[47])/6 + (1235*t[48])/16 - (959*t[49])/24 - 
       (143*t[50])/48 + (1957*t[51])/48 - (3617*t[52])/48 + (309*t[53])/8 + 
       (577*t[54])/16 - 5*t[58] + (115*t[59])/6 - (1097*t[60])/8 + 
       (3379*t[61])/8 + (9259*t[62])/48 + (11173*t[63])/48 - 
       (13639*t[64])/48 - (7225*t[65])/72 + (29221*t[66])/72 - 12*t[67] - 
       7*t[68] + 8*t[69] + 26*t[70] - 26*t[71] + (280*t[72])/3 - 18*t[73] - 
       27*t[74] + 194*t[75] + (67*t[76])/3 + (139*t[77])/3 - (107*t[78])/3 - 
       150*t[79] - (223*t[80])/3 - (86*t[81])/3 - (47*t[82])/2 - 224*t[83] - 
       (661*t[84])/24 - (1781*t[85])/24 - (1417*t[86])/3 + (2455*t[87])/24 + 
       (391*t[88])/48 + (13*t[89])/48 - 7*t[92] + 16*t[93] + 12*t[94] - 
       2*t[95] + 14*t[96] - t[97]/3 - 340*t[98] + 516*t[99] + 66*t[100] - 
       24*t[101]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-68*t[1])/3 - (14*t[2])/3 - 72*t[3] - (2929*t[4])/24 + (833*t[5])/8 + 
       (2471*t[6])/8 - (1361*t[7])/8 + (5621*t[8])/24 - (217*t[9])/6 + 
       (4729*t[10])/48 - (481*t[11])/2 - (4675*t[12])/48 - 
       (80987*t[13])/432 + (24493*t[14])/96 + (13979*t[15])/144 + 4*t[16] - 
       2*t[17] - 14*t[18] + 16*t[19] + 120*t[20] - 30*t[21] - 8*t[22] + 
       30*t[23] - 26*t[24] - 18*t[25] + 17*t[26] - (133*t[27])/3 + 
       (248*t[28])/3 + (22*t[29])/3 - (364*t[30])/3 + (64*t[31])/3 + 
       4*t[32] - 18*t[33] + (14*t[34])/3 + 44*t[35] - 13*t[36] - 35*t[37] - 
       (37*t[38])/3 + 69*t[39] - 71*t[40] + (19*t[41])/6 - (61*t[42])/6 + 
       (1081*t[43])/24 - (229*t[44])/3 + (53*t[45])/4 - 16*t[46] - 
       (133*t[47])/2 + (145*t[48])/3 + (795*t[49])/16 + (5*t[50])/6 - 
       (1213*t[51])/32 + (719*t[52])/6 - (1033*t[53])/48 + (1477*t[54])/24 - 
       2*t[56] - 4*t[57] + 5*t[58] + (115*t[59])/6 - (1097*t[60])/8 + 
       (3379*t[61])/8 + (9259*t[62])/48 + (11173*t[63])/48 - 
       (13639*t[64])/48 - (7225*t[65])/72 + (29221*t[66])/72 - 12*t[67] - 
       7*t[68] + 8*t[69] + 26*t[70] - 26*t[71] + (280*t[72])/3 - 18*t[73] - 
       27*t[74] + 194*t[75] + (67*t[76])/3 + (139*t[77])/3 - (107*t[78])/3 - 
       150*t[79] - (223*t[80])/3 - (86*t[81])/3 - (47*t[82])/2 - 224*t[83] - 
       (661*t[84])/24 - (1781*t[85])/24 - (1417*t[86])/3 + (2455*t[87])/24 + 
       (391*t[88])/48 + (13*t[89])/48 - 7*t[92] + 16*t[93] + 12*t[94] - 
       2*t[95] + 14*t[96] - t[97]/3 - 340*t[98] + 516*t[99] + 66*t[100] - 
       24*t[101]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 
       1 - v]*(-2*t[1] - (97*t[2])/8 + (237*t[3])/4 - (23*t[4])/12 + 
       (2047*t[5])/48 - (889*t[6])/16 - (989*t[7])/12 - (569*t[8])/12 - 
       (5719*t[9])/48 + (275*t[10])/24 + (15*t[11])/16 + (87*t[12])/16 + 
       (695*t[13])/72 - (14159*t[14])/144 + (371*t[15])/32 - 2*t[20] + 
       4*t[22] + 10*t[28] + (21*t[29])/2 + (55*t[30])/2 - (37*t[32])/4 - 
       (11*t[33])/2 + 2*t[34] - 6*t[35] - 2*t[36] + 2*t[37] - t[38] + 
       2*t[39] + 2*t[40] + t[41]/2 - t[42]/2 - (151*t[44])/4 - 7*t[45] + 
       9*t[47] - (343*t[48])/16 + (41*t[49])/24 - (195*t[50])/16 - 
       (3*t[51])/16 + (99*t[52])/16 - (41*t[53])/24 - (1987*t[54])/48 - 
       4*t[59] - (506*t[60])/3 - (2813*t[61])/24 + (182*t[62])/3 + 
       (1151*t[63])/8 + (8909*t[64])/48 + (1795*t[65])/72 + (565*t[66])/8 - 
       6*t[69] - 4*t[70] + 4*t[71] + 2*t[73] - 8*t[74] - 8*t[75] + 11*t[76] - 
       12*t[78] - 10*t[79] + 12*t[80] + (25*t[81])/4 - (9*t[82])/4 + 
       (23*t[83])/3 - (1159*t[84])/24 - (341*t[85])/12 - (50*t[86])/3 + 
       52*t[87] - (9*t[88])/2 - (1103*t[89])/48 + 8*t[95] + 4*t[96] - 
       2*t[97] + 72*t[98] - 88*t[99] + 109*t[100] - 12*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((19*t[1])/2 + 3*t[2] + (85*t[3])/12 - (829*t[4])/8 + (103*t[5])/12 - 
       (235*t[6])/48 - (113*t[7])/12 - (203*t[8])/12 - 5*t[9] - 
       (1471*t[10])/48 - (3835*t[11])/48 - (349*t[12])/48 - (2033*t[13])/72 - 
       (10031*t[14])/288 + (1025*t[15])/144 - 4*t[16] - t[25]/2 - 
       (19*t[26])/2 + (22*t[28])/3 + (8*t[29])/3 - (8*t[30])/3 - 2*t[33] - 
       2*t[36] + 4*t[37] + 9*t[38] + 2*t[39] - 2*t[40] - (14*t[44])/3 - 
       t[45] - (33*t[46])/4 + t[47] + (31*t[48])/16 + (389*t[49])/16 + 
       (181*t[50])/48 + (455*t[51])/32 - (37*t[52])/48 - (89*t[53])/16 + 
       (2141*t[54])/48 - 4*t[59] - (506*t[60])/3 - (2813*t[61])/24 + 
       (182*t[62])/3 + (1151*t[63])/8 + (8909*t[64])/48 + (1795*t[65])/72 + 
       (565*t[66])/8 - 6*t[69] - 4*t[70] + 4*t[71] + 2*t[73] - 8*t[74] - 
       8*t[75] + 11*t[76] - 12*t[78] - 10*t[79] + 12*t[80] + (25*t[81])/4 - 
       (9*t[82])/4 + (23*t[83])/3 - (1159*t[84])/24 - (341*t[85])/12 - 
       (50*t[86])/3 + 52*t[87] - (9*t[88])/2 - (1103*t[89])/48 + 8*t[95] + 
       4*t[96] - 2*t[97] + 72*t[98] - 88*t[99] + 109*t[100] - 12*t[101]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-89*t[1])/8 + (53*t[2])/8 - (137*t[3])/8 + 69*t[4] + (3849*t[5])/32 - 
       (827*t[6])/32 - (557*t[7])/16 - (971*t[8])/16 - (5863*t[9])/32 + 
       53*t[10] - (3317*t[11])/32 - (2483*t[12])/32 + (85*t[13])/32 - 
       (3253*t[14])/48 + (47297*t[15])/576 - (5*t[16])/4 + (13*t[17])/4 - 
       9*t[18] - t[20] - 5*t[21] + 2*t[22] + 5*t[23] - 9*t[24] + 17*t[25] - 
       8*t[26] + 22*t[27] + 13*t[28] + (101*t[29])/4 + (9*t[30])/2 + 
       (31*t[32])/4 - 10*t[33] - (43*t[34])/4 - 19*t[35] + (35*t[36])/2 + 
       16*t[37] - 3*t[38] - (33*t[39])/2 + (161*t[40])/4 - (45*t[41])/8 + 
       (25*t[42])/8 + (65*t[43])/4 - (335*t[44])/8 + (115*t[45])/8 + 
       (9*t[46])/4 - (77*t[47])/2 + (1241*t[48])/32 - (321*t[49])/16 + 
       (61*t[50])/32 + (47*t[51])/4 - (1189*t[52])/32 + (297*t[53])/16 + 
       (427*t[54])/32 - t[55]/4 - 2*t[58] + (47*t[59])/8 - (2617*t[60])/16 + 
       (1201*t[61])/16 + (5309*t[62])/32 + (3679*t[63])/32 - 
       (1599*t[64])/32 + (447*t[65])/16 + (3801*t[66])/16 - (9*t[67])/2 - 
       (7*t[68])/2 - t[69] + 11*t[70] - 11*t[71] + 22*t[72] + 6*t[73] - 
       (17*t[74])/2 + 78*t[75] + (43*t[76])/2 + 23*t[77] - (115*t[78])/4 - 
       66*t[79] - (97*t[80])/2 - 23*t[81] + 4*t[82] - (207*t[83])/2 - 
       (545*t[84])/16 - (431*t[85])/16 - (889*t[86])/4 + (1595*t[87])/16 + 
       (1147*t[88])/32 + (1047*t[89])/32 - t[91]/12 - (5*t[92])/2 + 5*t[93] + 
       (9*t[94])/2 - t[95] + 3*t[96] - (3*t[97])/4 - 120*t[98] + 172*t[99] + 
       190*t[100] - 12*t[101]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - u]*((-31*t[1])/4 - (33*t[2])/4 - (211*t[3])/8 - (1479*t[4])/16 + 
       (2577*t[5])/32 + (1851*t[6])/16 - 113*t[7] + (895*t[8])/8 - 
       (1387*t[9])/32 + (2341*t[10])/32 - (1285*t[11])/8 - (391*t[12])/8 - 
       (12601*t[13])/144 + (11159*t[14])/192 + (2759*t[15])/64 + t[16] + 
       t[17] - 5*t[18] + 7*t[19] + 35*t[20] - 12*t[21] + 5*t[22] + 12*t[23] - 
       (11*t[24])/2 - (13*t[25])/2 + (23*t[26])/4 - 11*t[27] + 45*t[28] + 
       (9*t[29])/4 - 45*t[30] + 10*t[31] + 2*t[32] - (5*t[33])/2 + 4*t[34] + 
       19*t[35] - (11*t[36])/2 - (27*t[37])/2 - (9*t[38])/2 + (125*t[39])/4 - 
       32*t[40] + t[41]/4 - (11*t[42])/4 + (267*t[43])/16 - (241*t[44])/8 + 
       (77*t[45])/4 - 3*t[46] - (189*t[47])/4 + (447*t[48])/16 + 
       (495*t[49])/32 - (141*t[50])/16 - (1089*t[51])/64 + (917*t[52])/16 - 
       (279*t[53])/32 + 40*t[54] - t[57] + (9*t[58])/4 + (47*t[59])/8 - 
       (2617*t[60])/16 + (1201*t[61])/16 + (5309*t[62])/32 + 
       (3679*t[63])/32 - (1599*t[64])/32 + (447*t[65])/16 + (3801*t[66])/16 - 
       (9*t[67])/2 - (7*t[68])/2 - t[69] + 11*t[70] - 11*t[71] + 22*t[72] + 
       6*t[73] - (17*t[74])/2 + 78*t[75] + (43*t[76])/2 + 23*t[77] - 
       (115*t[78])/4 - 66*t[79] - (97*t[80])/2 - 23*t[81] + 4*t[82] - 
       (207*t[83])/2 - (545*t[84])/16 - (431*t[85])/16 - (889*t[86])/4 + 
       (1595*t[87])/16 + (1147*t[88])/32 + (1047*t[89])/32 - t[91]/12 - 
       (5*t[92])/2 + 5*t[93] + (9*t[94])/2 - t[95] + 3*t[96] - (3*t[97])/4 - 
       120*t[98] + 172*t[99] + 190*t[100] - 12*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-11*t[1])/2 - 4*t[2] + (371*t[3])/16 + (453*t[4])/8 - (315*t[5])/4 + 
       (173*t[6])/8 + (175*t[7])/4 - (193*t[8])/4 + (575*t[9])/8 - 
       (1283*t[10])/16 + (1131*t[11])/8 + (373*t[12])/16 + (352*t[13])/9 + 
       (1655*t[14])/32 - (2147*t[15])/288 - 2*t[16] - (5*t[17])/4 - 2*t[18] - 
       2*t[19] - t[20] - 4*t[21] + 4*t[23] - 3*t[24] + 5*t[25] - t[26] - 
       5*t[27] - 7*t[28] + (23*t[29])/4 - (5*t[30])/2 - 2*t[31] - 
       (47*t[32])/4 - 5*t[33] + t[34] + 4*t[35] - 10*t[36] - (13*t[37])/2 - 
       7*t[38] + 8*t[39] - 6*t[40] - (13*t[41])/4 + (9*t[42])/4 + 
       (11*t[43])/8 + (65*t[44])/8 - t[45]/4 + (3*t[46])/2 - (13*t[47])/2 - 
       (257*t[48])/8 + (153*t[49])/16 + (67*t[50])/8 - (301*t[51])/32 - 
       (11*t[52])/8 - (121*t[53])/16 - (223*t[54])/8 + (9*t[59])/2 + 
       24*t[60] + (589*t[61])/4 + (279*t[62])/16 + (1653*t[63])/16 - 
       (267*t[64])/8 - (2201*t[65])/24 - (3935*t[66])/24 + 2*t[67] + 
       (13*t[68])/2 - 8*t[69] - t[70] + t[71] - 2*t[72] + 14*t[73] + 
       (29*t[74])/2 - 23*t[75] + 14*t[76] - (23*t[77])/2 - (33*t[78])/2 + 
       4*t[79] - 5*t[80] + (55*t[81])/2 - 30*t[82] - 7*t[83] + 
       (129*t[84])/8 + (247*t[85])/8 + 13*t[86] - (529*t[87])/8 - 
       (905*t[88])/16 - (1071*t[89])/16 + t[92] - 2*t[93] - 2*t[94] + 
       5*t[95] + 5*t[96] - 3*t[97] + 96*t[98] - 50*t[99] - 416*t[100] - 
       6*t[101]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((-31*t[1])/4 + (27*t[2])/2 - (25*t[3])/4 + 
       (241*t[4])/8 - (537*t[5])/16 + (299*t[6])/8 - (41*t[7])/8 + 
       (225*t[8])/8 + (463*t[9])/16 - 53*t[10] + (151*t[11])/4 - 
       (87*t[12])/16 + (29*t[13])/144 + (4795*t[14])/96 - (899*t[15])/96 - 
       2*t[16] - 2*t[18] + t[19] - 19*t[20] + 4*t[21] + t[22] - 4*t[23] + 
       6*t[24] - t[25]/2 + 2*t[26] - t[27] + t[28] + 6*t[29] + 6*t[30] + 
       t[31] - 6*t[32] + 4*t[33] - 5*t[34] - 8*t[35] + (5*t[36])/2 + 
       (7*t[37])/2 - (7*t[38])/2 - t[39] + (15*t[40])/2 + 2*t[41] - 3*t[42] + 
       (3*t[43])/8 - 2*t[44] + (5*t[45])/4 - (7*t[46])/4 - (11*t[47])/2 + 
       (45*t[48])/4 + 27*t[49] - (101*t[50])/4 - (327*t[51])/32 + 
       (65*t[52])/4 - (61*t[53])/4 + (175*t[54])/8 + 4*t[57] - t[58] + 
       (9*t[59])/2 + 24*t[60] + (589*t[61])/4 + (279*t[62])/16 + 
       (1653*t[63])/16 - (267*t[64])/8 - (2201*t[65])/24 - (3935*t[66])/24 + 
       2*t[67] + (13*t[68])/2 - 8*t[69] - t[70] + t[71] - 2*t[72] + 
       14*t[73] + (29*t[74])/2 - 23*t[75] + 14*t[76] - (23*t[77])/2 - 
       (33*t[78])/2 + 4*t[79] - 5*t[80] + (55*t[81])/2 - 30*t[82] - 7*t[83] + 
       (129*t[84])/8 + (247*t[85])/8 + 13*t[86] - (529*t[87])/8 - 
       (905*t[88])/16 - (1071*t[89])/16 + t[92] - 2*t[93] - 2*t[94] + 
       5*t[95] + 5*t[96] - 3*t[97] + 96*t[98] - 50*t[99] - 416*t[100] - 
       6*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((11*t[1])/6 + (125*t[2])/6 - (85*t[3])/8 - 
       (313*t[4])/24 - (181*t[5])/16 + (153*t[6])/8 + (191*t[7])/4 - 
       (673*t[8])/24 + (781*t[9])/48 + (3901*t[10])/48 + (153*t[11])/8 - 
       (551*t[12])/24 - (1181*t[13])/432 + (4555*t[14])/96 + 
       (1369*t[15])/96 - 2*t[16] + t[17] - 2*t[18] - 23*t[20] - 2*t[21] + 
       5*t[22] + 2*t[23] - 2*t[24] + (13*t[25])/2 - 8*t[26] - (11*t[27])/6 + 
       (20*t[28])/3 + (25*t[29])/3 + (65*t[30])/3 + (22*t[31])/3 + 3*t[32] - 
       4*t[33] - (34*t[34])/3 - 16*t[35] + t[36] - 9*t[37] + (14*t[38])/3 + 
       5*t[39] - (7*t[41])/3 + (4*t[42])/3 + (175*t[43])/24 + (19*t[44])/6 + 
       37*t[45] - (17*t[46])/2 - (77*t[47])/2 - (79*t[48])/6 - 
       (541*t[49])/16 + (100*t[50])/3 + (163*t[51])/32 - (107*t[52])/3 + 
       (311*t[53])/48 - (227*t[54])/24 + 4*t[57] - (3*t[58])/2 - t[59]/3 + 
       (223*t[60])/8 + (1163*t[61])/8 - (6563*t[62])/48 + (3031*t[63])/48 - 
       (1027*t[64])/48 + (1007*t[65])/72 + (229*t[66])/72 + 6*t[68] - 
       8*t[69] + 10*t[70] - 10*t[71] - (2*t[72])/3 + 10*t[73] + 5*t[74] - 
       38*t[75] - (203*t[76])/3 - (26*t[77])/3 + (337*t[78])/3 + 6*t[79] - 
       (241*t[80])/3 - (133*t[81])/6 - 13*t[82] + 22*t[83] + 
       (1373*t[84])/24 - (41*t[85])/24 + (709*t[86])/6 + (1651*t[87])/24 + 
       (2947*t[88])/48 - (1265*t[89])/48 + t[92]/2 - 2*t[93] - 10*t[95] - 
       20*t[96] - (28*t[97])/3 - 364*t[98] + 376*t[99] - 44*t[100] - 
       6*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-11*t[1])/3 + (349*t[2])/12 - 
       (1153*t[3])/12 + (45*t[4])/2 - (4933*t[5])/48 + (1931*t[6])/48 + 
       (1807*t[7])/24 + (427*t[8])/4 + (4283*t[9])/48 - (115*t[10])/3 + 
       (235*t[11])/48 - (1027*t[12])/48 - (11149*t[13])/216 + 
       (4225*t[14])/72 + (2351*t[15])/864 - 2*t[16] - 4*t[18] - 11*t[20] - 
       2*t[21] + 3*t[22] + 2*t[23] - 6*t[24] + (13*t[25])/2 - 4*t[26] - 
       (19*t[27])/6 - 22*t[28] + (76*t[29])/3 + 2*t[30] - (26*t[31])/3 + 
       (91*t[32])/3 - (25*t[33])/3 - (40*t[34])/3 + 16*t[35] - 16*t[36] + 
       t[37] - (7*t[38])/3 - (113*t[39])/6 + (19*t[40])/2 + t[41]/6 - 
       (7*t[42])/6 - (145*t[43])/12 + (115*t[44])/12 + (49*t[45])/4 - 
       (19*t[46])/2 + (13*t[47])/3 + (423*t[48])/16 + (233*t[49])/12 + 
       (1981*t[50])/48 - (101*t[51])/12 - (1517*t[52])/48 - (107*t[53])/4 + 
       (457*t[54])/16 + (3*t[58])/2 - t[59]/3 + (223*t[60])/8 + 
       (1163*t[61])/8 - (6563*t[62])/48 + (3031*t[63])/48 - (1027*t[64])/48 + 
       (1007*t[65])/72 + (229*t[66])/72 + 6*t[68] - 8*t[69] + 10*t[70] - 
       10*t[71] - (2*t[72])/3 + 10*t[73] + 5*t[74] - 38*t[75] - 
       (203*t[76])/3 - (26*t[77])/3 + (337*t[78])/3 + 6*t[79] - 
       (241*t[80])/3 - (133*t[81])/6 - 13*t[82] + 22*t[83] + 
       (1373*t[84])/24 - (41*t[85])/24 + (709*t[86])/6 + (1651*t[87])/24 + 
       (2947*t[88])/48 - (1265*t[89])/48 + t[92]/2 - 2*t[93] - 10*t[95] - 
       20*t[96] - (28*t[97])/3 - 364*t[98] + 376*t[99] - 44*t[100] - 
       6*t[101]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((45*t[1])/4 - (69*t[2])/16 + (73*t[3])/48 - (1253*t[4])/48 - 
       (515*t[5])/96 - (117*t[6])/16 + (349*t[7])/8 + (883*t[8])/48 + 
       (937*t[9])/32 - (3641*t[10])/96 + (20*t[11])/3 - (85*t[12])/16 + 
       (3545*t[13])/96 + (4141*t[14])/192 - (2789*t[15])/192 + (3*t[17])/8 + 
       t[18] + 4*t[19] + 5*t[21] - 5*t[23] + (5*t[24])/2 + (4*t[25])/3 - 
       (4*t[26])/3 + 3*t[31] + t[32] - t[33] + 3*t[34] + t[37] + t[38]/2 + 
       t[39] - t[40] + (3*t[41])/2 + t[42]/4 - (149*t[43])/16 - 
       (11*t[45])/2 - (91*t[46])/24 + (49*t[47])/2 - (17*t[48])/8 - 
       t[49]/96 - (95*t[50])/24 + (371*t[51])/192 + (23*t[52])/24 + 
       (49*t[53])/96 + (145*t[54])/16 - (45*t[59])/4 + (91*t[60])/24 + 
       (371*t[61])/4 - (5491*t[62])/48 - (107*t[63])/48 + (301*t[64])/3 + 
       (461*t[65])/6 - 93*t[66] - 2*t[67] - 19*t[69] + 2*t[70] - 5*t[71] - 
       t[73] - 11*t[74] - 3*t[75] + (13*t[76])/2 + t[77] - 4*t[78] - 
       3*t[79] - t[80]/2 + (11*t[81])/4 + (13*t[82])/4 + (23*t[83])/3 + 
       (29*t[84])/4 + (169*t[85])/24 + (637*t[86])/12 + (115*t[87])/24 + 
       (115*t[88])/48 + (1253*t[89])/48 + (3*t[94])/4 + 36*t[98] - 44*t[99] + 
       (93*t[100])/2 - 6*t[101]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*((3*t[1])/4 + (99*t[2])/16 - 
       (1081*t[3])/48 - (1507*t[4])/48 + (251*t[5])/96 - (1337*t[6])/48 + 
       (697*t[7])/16 + (757*t[8])/24 + (4259*t[9])/96 + (3835*t[10])/96 + 
       (2249*t[11])/48 + (367*t[12])/48 + (1621*t[13])/72 + 
       (7471*t[14])/192 + (1945*t[15])/576 + (23*t[17])/8 + 5*t[18] - 
       2*t[19] - (4*t[20])/3 - t[21] + t[23]/2 - 6*t[24] - (8*t[28])/3 - 
       t[29] + (4*t[30])/3 - 10*t[31] + t[32] - (7*t[33])/3 + 2*t[34] - 
       2*t[35] + t[37] + t[39] - t[40] + (3*t[41])/4 + t[42]/4 + t[43]/2 + 
       (4*t[44])/3 + (45*t[45])/8 - (19*t[46])/8 + (15*t[47])/4 + 
       (269*t[48])/48 + (25*t[49])/96 + (485*t[50])/48 + (293*t[51])/192 - 
       (581*t[52])/48 + (23*t[53])/96 - (3*t[54])/8 + t[58]/2 - 
       (45*t[59])/4 + (91*t[60])/24 + (371*t[61])/4 - (5491*t[62])/48 - 
       (107*t[63])/48 + (301*t[64])/3 + (461*t[65])/6 - 93*t[66] - 2*t[67] - 
       19*t[69] + 2*t[70] - 5*t[71] - t[73] - 11*t[74] - 3*t[75] + 
       (13*t[76])/2 + t[77] - 4*t[78] - 3*t[79] - t[80]/2 + (11*t[81])/4 + 
       (13*t[82])/4 + (23*t[83])/3 + (29*t[84])/4 + (169*t[85])/24 + 
       (637*t[86])/12 + (115*t[87])/24 + (115*t[88])/48 + (1253*t[89])/48 + 
       (3*t[94])/4 + 36*t[98] - 44*t[99] + (93*t[100])/2 - 6*t[101]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-245*t[1])/72 - (913*t[2])/144 + (721*t[3])/24 - (2327*t[4])/288 + 
       57*t[5] - (1915*t[6])/48 + (5*t[7])/3 + (497*t[8])/36 - 
       (4703*t[9])/72 - (71485*t[10])/576 + (515*t[11])/8 + 
       (31255*t[12])/576 + (293737*t[13])/2592 - (285925*t[14])/1152 + 
       (35593*t[15])/1728 + (3*t[16])/2 - (4*t[19])/3 + t[25]/2 + 
       (23*t[26])/12 + (5*t[27])/18 - (50*t[28])/9 + (121*t[29])/18 - 
       (19*t[30])/18 - (109*t[31])/9 + (5*t[32])/2 - (13*t[33])/6 - 
       (23*t[34])/36 + (7*t[35])/6 + (19*t[36])/2 + t[37]/6 - (95*t[38])/36 - 
       (2*t[39])/3 + (8*t[40])/3 + (23*t[41])/72 - (23*t[42])/72 - 
       (7*t[43])/18 - (20*t[44])/9 - (56*t[45])/3 + (403*t[46])/24 + 
       (121*t[47])/3 + (323*t[48])/144 - (1231*t[49])/64 + (119*t[50])/144 + 
       (2011*t[51])/128 - (1387*t[52])/144 + (12055*t[53])/576 - 
       (12985*t[54])/288 - (13*t[58])/12 + (215*t[59])/72 - (1115*t[60])/32 - 
       (19939*t[61])/96 + (65789*t[62])/576 - (137845*t[63])/576 + 
       (190153*t[64])/576 + (131641*t[65])/864 + (197735*t[66])/864 - t[69] + 
       (23*t[72])/9 + (371*t[73])/12 - (40*t[74])/3 + (77*t[75])/12 + 
       (989*t[76])/36 - (109*t[77])/36 - (322*t[78])/9 + (35*t[79])/3 + 
       (839*t[80])/18 - (1061*t[81])/72 + (605*t[82])/24 - (63*t[83])/2 - 
       (2327*t[84])/288 - (1117*t[85])/288 + (2099*t[86])/18 + 
       (19049*t[87])/288 + (21257*t[88])/576 + (69335*t[89])/576 - 
       (16*t[95])/3 + 6*t[96] + (181*t[97])/36 + (1169*t[98])/6 - 
       (1193*t[99])/6 + (41*t[100])/3 + 2*t[101]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((3*t[1])/4 + (187*t[2])/48 + (283*t[3])/48 - (2545*t[4])/24 + 
       (669*t[5])/16 + (1611*t[6])/16 - (8845*t[7])/48 + 468*t[8] - 
       (4631*t[9])/48 - (1021*t[10])/48 - (8621*t[11])/48 + (77*t[12])/2 - 
       (2779*t[13])/72 - (12629*t[14])/288 + (119*t[15])/54 + 2*t[19] - 
       t[20] + t[22] - (4*t[27])/3 + (293*t[28])/12 + (197*t[29])/8 - 
       (65*t[30])/6 + (7*t[31])/2 + 7*t[32] - (25*t[33])/3 + 9*t[34] + 
       (133*t[35])/6 + 12*t[36] - (35*t[37])/6 - (3*t[38])/4 - 
       (43*t[39])/48 - (11*t[40])/48 - t[41]/6 + t[42]/6 + (65*t[43])/6 - 
       (3625*t[44])/48 - (9*t[45])/2 - t[46] - t[47]/6 + (2169*t[48])/16 - 
       (839*t[49])/48 - (2699*t[50])/24 + (253*t[51])/32 + (2779*t[52])/24 + 
       (955*t[53])/48 + (7087*t[54])/48 + (35*t[59])/12 - (1015*t[60])/24 - 
       (10627*t[61])/48 + (2831*t[62])/24 - (975*t[63])/4 + (5303*t[64])/16 + 
       (2797*t[65])/18 + (16705*t[66])/72 - (11*t[69])/6 + (17*t[72])/6 + 
       (341*t[73])/12 - (40*t[74])/3 + (29*t[75])/4 + (43*t[76])/2 - 
       (53*t[77])/12 - (89*t[78])/3 + (25*t[79])/2 + (139*t[80])/3 - 
       (407*t[81])/24 + (635*t[82])/24 - (121*t[83])/4 - (37*t[84])/8 - 
       (247*t[85])/48 + 123*t[86] + (1757*t[87])/24 + (647*t[88])/16 + 
       (5615*t[89])/48 - (16*t[95])/3 + (13*t[96])/3 + (7*t[97])/2 + 
       (313*t[98])/2 - (321*t[99])/2 + (39*t[100])/2 + 2*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((13*t[1])/2 + (589*t[2])/12 - (223*t[3])/12 - (1153*t[4])/12 + 
       (1363*t[5])/12 + (125*t[6])/12 - (763*t[7])/3 + (518*t[8])/3 - 
       (4747*t[9])/12 + (157*t[10])/24 - (189*t[11])/4 - (443*t[12])/8 - 
       (5965*t[13])/108 - (3967*t[14])/48 + (3161*t[15])/72 + 8*t[19] + 
       6*t[20] + 12*t[21] - 3*t[22] - 10*t[23] - 6*t[24] + 6*t[25] + 
       4*t[27] - 111*t[28] - 95*t[29] - 82*t[30] - 8*t[31] - 28*t[32] + 
       (97*t[33])/3 - (193*t[34])/3 - 32*t[35] + 24*t[36] + (29*t[38])/6 - 
       (122*t[39])/3 + (251*t[40])/6 + (32*t[41])/3 - (14*t[42])/3 + 
       2*t[43] - (43*t[44])/4 + (559*t[45])/6 - (10*t[46])/3 - 
       (427*t[47])/6 - (695*t[48])/12 - (1577*t[49])/24 - (369*t[50])/4 + 
       (1721*t[51])/48 + (787*t[52])/12 + (1093*t[53])/24 + (53*t[54])/2 + 
       (137*t[59])/12 + (1087*t[60])/4 + (1433*t[61])/12 - (1523*t[62])/6 - 
       (1767*t[63])/4 + (6175*t[64])/24 - (9217*t[65])/36 - (1756*t[66])/9 + 
       17*t[69] - 2*t[72] - 78*t[73] + 31*t[74] - 110*t[75] - 138*t[76] - 
       (26*t[77])/3 + (322*t[78])/3 + 19*t[79] - (146*t[80])/3 - 36*t[81] - 
       14*t[82] + (345*t[83])/2 + (595*t[84])/6 - 60*t[85] + 109*t[86] + 
       (459*t[87])/2 + (687*t[88])/4 + (284*t[89])/3 - 38*t[95] - 
       (74*t[96])/3 - (23*t[97])/2 - 876*t[98] + 780*t[99] + 402*t[100] + 
       2*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((59*t[1])/12 + (557*t[2])/12 - (125*t[3])/4 + 
       (913*t[4])/24 - (289*t[5])/6 + (1985*t[6])/12 + (419*t[7])/4 + 
       (941*t[8])/4 - (29*t[9])/6 - (4071*t[10])/16 + (1475*t[11])/12 + 
       (1913*t[12])/16 + (12239*t[13])/108 - (14005*t[14])/288 - 
       (3979*t[15])/144 - 2*t[16] + 9*t[19] + 12*t[20] + 12*t[21] - 6*t[22] - 
       12*t[23] + 8*t[25] + 6*t[26] - 3*t[27] - 24*t[28] + 6*t[29] - 
       4*t[30] - 30*t[31] + (16*t[32])/3 - 5*t[33] - (13*t[34])/6 + 
       18*t[35] + 15*t[36] - 10*t[37] - (49*t[38])/6 - (100*t[39])/3 - 
       15*t[40] + (121*t[41])/12 - (121*t[42])/12 - 3*t[43] - 4*t[44] - 
       (37*t[45])/6 - 26*t[46] + (35*t[47])/2 + (769*t[48])/12 - 
       (8759*t[49])/48 + (901*t[50])/12 + (3379*t[51])/32 - (85*t[52])/4 + 
       (4735*t[53])/48 - (515*t[54])/24 + 9*t[58] + (131*t[59])/12 + 
       (1745*t[60])/8 + (499*t[61])/24 - (10891*t[62])/48 - (7579*t[63])/16 + 
       (12803*t[64])/48 - (16865*t[65])/72 - (12413*t[66])/72 + 11*t[69] - 
       96*t[73] + 31*t[74] - 104*t[75] - 181*t[76] - (56*t[77])/3 + 
       (454*t[78])/3 + 25*t[79] - (152*t[80])/3 - 52*t[81] - 5*t[82] + 
       (363*t[83])/2 + (2977*t[84])/24 - (553*t[85])/8 + 155*t[86] + 
       (2243*t[87])/8 + (3155*t[88])/16 + (3371*t[89])/48 - 38*t[95] - 
       (110*t[96])/3 - (45*t[97])/2 - 1152*t[98] + 1056*t[99] + 444*t[100] + 
       2*t[101]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-25*t[1])/36 - (34*t[2])/9 - (283*t[3])/288 + (2167*t[4])/48 - 
       (5843*t[5])/576 + (3961*t[6])/576 + (557*t[7])/288 + (1433*t[8])/96 + 
       (15433*t[9])/576 - (9763*t[10])/288 + (11771*t[11])/576 - 
       (4013*t[12])/576 + (32813*t[13])/5184 + (30223*t[14])/1728 - 
       (111569*t[15])/10368 + t[16]/2 + (4*t[25])/3 - (16*t[26])/3 - 
       (16*t[27])/9 - (31*t[28])/6 + (65*t[29])/36 + (5*t[30])/4 - 
       (59*t[31])/18 - (5*t[32])/18 + (17*t[33])/18 + t[34]/9 + 
       (10*t[35])/3 + (16*t[36])/3 + (13*t[37])/6 + (7*t[38])/36 - 
       (511*t[39])/72 + (25*t[40])/6 - t[41]/18 + t[42]/18 + 
       (181*t[43])/144 - (185*t[44])/18 - (257*t[45])/48 - (29*t[46])/12 + 
       (775*t[47])/72 - (829*t[48])/192 + (1879*t[49])/144 - 
       (8443*t[50])/576 - (1765*t[51])/576 + (6779*t[52])/576 - 
       (721*t[53])/48 + (193*t[54])/192 - (2*t[58])/3 + (43*t[59])/36 + 
       (5783*t[60])/96 + (5381*t[61])/96 - (8155*t[62])/576 + 
       (2723*t[63])/576 - (30413*t[64])/576 - (38717*t[65])/864 - 
       (32347*t[66])/864 + t[68] + (31*t[69])/6 - t[70]/3 + t[71]/3 + 
       (37*t[72])/18 - (59*t[73])/6 - (55*t[74])/6 + 3*t[75] - 
       (107*t[76])/18 - (37*t[77])/9 - (19*t[78])/9 - (7*t[79])/3 + 
       (145*t[80])/36 + (545*t[81])/36 - (13*t[82])/3 + (191*t[83])/12 - 
       (263*t[84])/288 + (4193*t[85])/288 + (1373*t[86])/72 - 
       (14365*t[87])/288 - (13981*t[88])/576 - (2605*t[89])/576 + t[91]/24 + 
       t[93]/2 - (5*t[95])/3 + (3*t[96])/2 + (29*t[97])/18 + (19*t[98])/3 + 
       (23*t[99])/3 - (475*t[100])/12 + 4*t[101]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((-59*t[1])/36 + 
       (82*t[2])/9 - (235*t[3])/24 - (961*t[4])/288 - (225*t[5])/64 + 
       (149*t[6])/6 + (2111*t[7])/48 + (1067*t[8])/72 + (19063*t[9])/576 - 
       (12995*t[10])/576 + (2675*t[11])/96 + (3271*t[12])/288 - 
       (9673*t[13])/2592 + (54127*t[14])/1152 + (13001*t[15])/1152 + 
       t[17]/4 + t[19] + 5*t[20] - (5*t[22])/2 - 3*t[24] + (5*t[26])/2 - 
       (71*t[27])/18 - (58*t[28])/9 + (137*t[29])/72 - (47*t[30])/18 - 
       (31*t[31])/18 + (13*t[32])/6 - (4*t[33])/3 + (139*t[34])/18 + 
       (3*t[35])/2 + (11*t[36])/3 + (2*t[37])/3 - (115*t[38])/36 - 
       (37*t[39])/12 - (33*t[40])/8 - (13*t[41])/36 + (13*t[42])/36 + 
       (1087*t[43])/288 - (2593*t[44])/144 - (57*t[45])/8 - t[46]/4 - 
       (8*t[47])/3 - (397*t[48])/72 + (1325*t[49])/192 + (499*t[50])/36 - 
       (523*t[51])/128 - (143*t[52])/36 - (5095*t[53])/576 - 
       (1487*t[54])/288 - t[55]/2 - t[56]/4 - t[57]/2 + (5*t[58])/6 + 
       (19*t[59])/18 + (1451*t[60])/32 + (917*t[61])/32 - (3845*t[62])/576 - 
       (2387*t[63])/576 - (28903*t[64])/576 - (33487*t[65])/864 - 
       (26897*t[66])/864 + t[68] + (7*t[69])/2 - t[70]/3 + t[71]/3 + 
       (47*t[72])/18 - (89*t[73])/6 - (55*t[74])/6 + (14*t[75])/3 - 
       (161*t[76])/9 - (62*t[77])/9 + (91*t[78])/9 - (2*t[79])/3 + 
       (125*t[80])/36 + (385*t[81])/36 - (11*t[82])/6 + (221*t[83])/12 + 
       (1727*t[84])/288 + (3463*t[85])/288 + (2293*t[86])/72 - 
       (10295*t[87])/288 - (9911*t[88])/576 - (6515*t[89])/576 + t[91]/24 + 
       t[93]/2 - (5*t[95])/3 - (11*t[96])/6 - (13*t[97])/9 - (211*t[98])/3 + 
       (253*t[99])/3 - (335*t[100])/12 + 4*t[101]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*((707*t[1])/72 - 
       (377*t[2])/36 + (371*t[3])/48 - (617*t[4])/144 + (1433*t[5])/96 - 
       (127*t[6])/32 - (1633*t[7])/48 + (3103*t[8])/144 - (9217*t[9])/288 + 
       (7661*t[10])/288 - (2713*t[11])/32 - (1475*t[12])/72 - 
       (50095*t[13])/2592 - (11695*t[14])/576 - (15373*t[15])/576 - t[16] + 
       t[17]/12 - t[24]/6 - 7*t[25] + (9*t[26])/2 + (37*t[27])/18 + 
       (116*t[28])/9 + (47*t[29])/18 - (221*t[30])/18 + (395*t[31])/18 + 
       2*t[32] - (4*t[33])/3 - (157*t[34])/36 + (51*t[35])/2 - (4*t[36])/3 + 
       (13*t[37])/6 + (407*t[38])/36 + (26*t[39])/3 - (31*t[40])/12 + 
       (157*t[41])/72 - (157*t[42])/72 - (377*t[43])/72 + (329*t[44])/36 - 
       (155*t[45])/24 + (61*t[46])/12 + (89*t[47])/6 + (2957*t[48])/288 + 
       (3071*t[49])/96 - (12751*t[50])/288 - (863*t[51])/64 + 
       (11687*t[52])/288 - (4853*t[53])/288 + (3265*t[54])/288 - t[55]/12 - 
       (2*t[58])/3 - (383*t[59])/72 - (435*t[60])/8 - (643*t[61])/8 + 
       (493*t[62])/36 - (865*t[63])/18 + (7501*t[64])/72 - (437*t[65])/108 + 
       (7717*t[66])/216 + t[68]/3 - 2*t[70] + 2*t[71] - (193*t[72])/18 + 
       (145*t[73])/6 + t[74] + (31*t[75])/6 + (1999*t[76])/36 + 
       (305*t[77])/18 - (2123*t[78])/36 - (92*t[79])/3 - (431*t[80])/18 - 
       (193*t[81])/18 - (121*t[82])/6 - (179*t[83])/6 - (4141*t[84])/72 + 
       (1489*t[85])/72 - (1195*t[86])/36 + (1441*t[87])/72 - 
       (479*t[88])/144 + (8977*t[89])/144 - t[91]/12 + t[93] + 6*t[95] + 
       (101*t[96])/6 + (323*t[97])/36 + (779*t[98])/3 - (881*t[99])/3 + 
       (541*t[100])/3 + 5*t[101]) + HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w]*((43*t[1])/18 - (1673*t[2])/72 + (4937*t[3])/72 + 
       (197*t[4])/16 + (9203*t[5])/288 - (5683*t[6])/72 - (3349*t[7])/72 - 
       (2171*t[8])/24 - (34405*t[9])/288 + (6827*t[10])/288 + 
       (359*t[11])/144 - (1163*t[12])/36 + (17995*t[13])/648 - 
       (251285*t[14])/1728 - (65335*t[15])/5184 + t[16]/12 - t[17]/4 - 
       (73*t[19])/18 - 3*t[20] - (13*t[21])/2 + 8*t[22] + (13*t[23])/2 + 
       (3*t[24])/2 + (59*t[27])/9 - (31*t[28])/6 - (11*t[29])/18 - t[30]/2 + 
       (50*t[31])/9 - (71*t[32])/18 + (34*t[33])/9 - (397*t[34])/18 + 
       (53*t[35])/6 - (37*t[36])/6 - (19*t[37])/6 + (193*t[38])/36 - 
       (565*t[39])/72 + (85*t[40])/8 - (125*t[41])/36 + (125*t[42])/36 + 
       (115*t[43])/144 + (1037*t[44])/36 + (199*t[45])/6 + (7*t[46])/6 - 
       (679*t[47])/36 - (41*t[48])/2 - (3979*t[49])/288 + (733*t[50])/72 + 
       (6215*t[51])/576 - (1685*t[52])/72 + (1433*t[53])/96 - 
       (2567*t[54])/48 + t[55]/3 + 3*t[57] - (421*t[59])/72 - 
       (5327*t[60])/48 - (8855*t[61])/48 + (12133*t[62])/288 - 
       (23549*t[63])/288 + (32873*t[64])/288 + (8189*t[65])/432 + 
       (25789*t[66])/432 + t[68]/3 - (19*t[69])/3 - 2*t[70] + 2*t[71] - 
       (155*t[72])/18 + (31*t[73])/6 + t[74] + (23*t[75])/2 + 
       (365*t[76])/36 + (115*t[77])/18 - (451*t[78])/36 - (73*t[79])/3 - 
       (469*t[80])/18 - (497*t[81])/18 - (32*t[82])/3 - (61*t[83])/3 - 
       (4501*t[84])/144 + (1591*t[85])/144 + (553*t[86])/36 + 
       (10615*t[87])/144 + (6775*t[88])/288 + (10525*t[89])/288 - t[91]/12 + 
       t[93] + 6*t[95] + (25*t[96])/6 - (95*t[97])/36 - (95*t[98])/3 - 
       (7*t[99])/3 + (674*t[100])/3 + 5*t[101]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((91*t[1])/12 - (71*t[2])/12 + 
       (147*t[3])/8 + (271*t[4])/12 - (213*t[5])/8 - (185*t[6])/4 + 
       (35*t[7])/2 - (115*t[8])/6 + (319*t[9])/12 - (2399*t[10])/48 + 
       26*t[11] + (641*t[12])/48 + (14455*t[13])/432 - (249*t[14])/4 - 
       (2099*t[15])/72 + 4*t[18] - 2*t[19] - 13*t[20] + 6*t[21] - 6*t[23] + 
       6*t[24] - t[25]/2 - (5*t[26])/2 + (26*t[27])/3 - (55*t[28])/3 + 
       (7*t[29])/3 + (26*t[30])/3 - (23*t[31])/3 - 2*t[32] + 4*t[33] + 
       (5*t[34])/3 - 4*t[35] + (5*t[36])/2 + (17*t[37])/2 + (14*t[38])/3 - 
       12*t[39] + 11*t[40] - (11*t[41])/6 + (23*t[42])/6 - (317*t[43])/24 + 
       (26*t[44])/3 - (11*t[45])/4 + (15*t[46])/4 + (25*t[47])/2 - 
       (151*t[48])/24 - (121*t[49])/16 + (29*t[50])/24 + (189*t[51])/16 - 
       (445*t[52])/24 + (479*t[53])/48 - (59*t[54])/24 + 4*t[57] + t[58]/2 - 
       (91*t[59])/12 + (141*t[60])/8 - (1413*t[61])/8 + (455*t[62])/24 - 
       (2521*t[63])/24 + (2573*t[64])/48 + (425*t[65])/18 - (4261*t[66])/36 + 
       2*t[67] - (3*t[68])/2 + 2*t[69] - 11*t[70] + 11*t[71] - (38*t[72])/3 + 
       10*t[73] + (5*t[74])/2 - 39*t[75] + (71*t[76])/6 - (61*t[77])/6 - 
       (50*t[78])/3 + 26*t[79] + (80*t[80])/3 + (89*t[81])/6 + 25*t[83] - 
       (2*t[84])/3 + (359*t[85])/12 + (272*t[86])/3 - (421*t[87])/12 - 
       (565*t[88])/24 - (47*t[89])/12 + t[92] - 2*t[93] - 2*t[94] + 5*t[95] - 
       t[96] - (17*t[97])/6 + 140*t[98] - 178*t[99] - 2*t[100] + 6*t[101]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((31*t[1])/12 - (17*t[2])/12 + (2495*t[3])/48 - (101*t[4])/8 - 
       (1099*t[5])/48 - (1447*t[6])/48 - (125*t[7])/24 - (449*t[8])/8 + 
       (1619*t[9])/48 - (2245*t[10])/48 + (2095*t[11])/48 + (527*t[12])/12 + 
       (11599*t[13])/432 - (10499*t[14])/288 - (22157*t[15])/432 - 
       (5*t[17])/4 + 6*t[18] + 3*t[20] + 4*t[21] - 2*t[22] - 4*t[23] + 
       7*t[24] - 4*t[25] + 4*t[26] - (11*t[27])/3 - t[28] - (137*t[29])/12 - 
       (3*t[30])/2 + (4*t[31])/3 - (161*t[32])/12 + (20*t[33])/3 + 
       (61*t[34])/6 + 4*t[35] - 2*t[36] - (9*t[37])/2 + (7*t[38])/6 + 
       (43*t[39])/6 - 13*t[40] + (5*t[41])/3 + t[42]/3 - (287*t[43])/24 + 
       (287*t[44])/24 - (53*t[45])/4 + 6*t[46] + (70*t[47])/3 - 
       (525*t[48])/16 + (17*t[49])/48 - (23*t[50])/48 - (649*t[51])/96 + 
       (415*t[52])/48 - (27*t[53])/16 - (603*t[54])/16 + t[58] - 
       (91*t[59])/12 + (141*t[60])/8 - (1413*t[61])/8 + (455*t[62])/24 - 
       (2521*t[63])/24 + (2573*t[64])/48 + (425*t[65])/18 - (4261*t[66])/36 + 
       2*t[67] - (3*t[68])/2 + 2*t[69] - 11*t[70] + 11*t[71] - (38*t[72])/3 + 
       10*t[73] + (5*t[74])/2 - 39*t[75] + (71*t[76])/6 - (61*t[77])/6 - 
       (50*t[78])/3 + 26*t[79] + (80*t[80])/3 + (89*t[81])/6 + 25*t[83] - 
       (2*t[84])/3 + (359*t[85])/12 + (272*t[86])/3 - (421*t[87])/12 - 
       (565*t[88])/24 - (47*t[89])/12 + t[92] - 2*t[93] - 2*t[94] + 5*t[95] - 
       t[96] - (17*t[97])/6 + 140*t[98] - 178*t[99] - 2*t[100] + 6*t[101]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((323*t[1])/36 - t[2]/36 - (379*t[3])/16 + (6829*t[4])/288 - 
       (335*t[5])/96 - (1819*t[6])/192 + (1103*t[7])/48 - (4843*t[8])/144 + 
       (2665*t[9])/72 + (34919*t[10])/576 + (2965*t[11])/64 - 
       (6359*t[12])/576 - (947*t[13])/2592 + (21629*t[14])/1152 - 
       (17593*t[15])/1728 + (7*t[17])/3 - (4*t[18])/3 - 3*t[19] + 10*t[20] - 
       t[21]/3 - 16*t[22] + 3*t[23] - t[24] - (19*t[25])/3 + t[26] - 
       (8*t[27])/9 + (37*t[28])/9 + (47*t[29])/9 + (637*t[30])/36 + 
       (23*t[31])/9 + (29*t[32])/6 + (3*t[33])/2 - (91*t[34])/18 - 
       (32*t[35])/3 + (29*t[37])/3 + (76*t[38])/9 - (47*t[39])/12 + 
       (7*t[40])/2 + (31*t[41])/36 - (55*t[42])/36 + (805*t[43])/144 + 
       (73*t[44])/9 + (181*t[45])/12 + (8*t[46])/3 - (71*t[47])/6 - 
       (379*t[48])/576 + (4007*t[49])/192 + (7349*t[50])/576 - 
       (857*t[51])/128 - (3925*t[52])/576 + (43*t[53])/576 - 
       (1763*t[54])/576 + t[55]/6 - (3*t[56])/2 - 3*t[57] - (389*t[59])/36 + 
       (51*t[60])/8 + (1055*t[61])/24 - (700*t[62])/9 - (877*t[63])/36 + 
       (1975*t[64])/144 - (11203*t[65])/108 - (18889*t[66])/216 - 
       (17*t[68])/3 + (5*t[69])/3 + (8*t[70])/3 - (8*t[71])/3 + (5*t[72])/9 + 
       (13*t[73])/3 - 4*t[74] - t[75]/3 + (721*t[76])/18 - (22*t[77])/9 - 
       (61*t[78])/9 - (19*t[79])/3 - (37*t[80])/18 - (209*t[81])/18 - 
       (89*t[82])/6 + (41*t[83])/2 - (250*t[84])/9 - (44*t[85])/9 - 
       (1157*t[86])/36 + (835*t[87])/36 + (835*t[88])/72 + (1223*t[89])/144 - 
       (2*t[92])/3 + 16*t[95] + (46*t[96])/3 + (53*t[97])/18 + (70*t[98])/3 - 
       (46*t[99])/3 + (218*t[100])/3 + 8*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (2*t[1] + (175*t[2])/8 - (413*t[3])/8 - (7*t[4])/4 - (417*t[5])/16 + 
       (681*t[6])/16 + (265*t[7])/4 + (205*t[8])/4 + (1557*t[9])/16 - 
       (21*t[10])/8 - (63*t[11])/16 - (47*t[12])/16 - (377*t[13])/24 + 
       (1041*t[14])/16 + (235*t[15])/288 - t[20] - t[22] - 2*t[28] - 
       8*t[29] - (37*t[30])/2 - 2*t[31] + (43*t[32])/4 + t[33]/2 - 2*t[35] + 
       2*t[36] + t[38] - 2*t[39] - 2*t[40] - t[41]/2 + t[42]/2 + 
       (45*t[44])/2 + 7*t[45] - t[46] - 9*t[47] + (255*t[48])/16 - 
       (17*t[49])/8 + (147*t[50])/16 + (13*t[51])/16 - (51*t[52])/16 + 
       (17*t[53])/8 + (469*t[54])/16 + 2*t[59] + 114*t[60] + (549*t[61])/8 - 
       (327*t[62])/8 - (221*t[63])/2 - (2673*t[64])/16 - (157*t[65])/24 - 
       (281*t[66])/8 + 4*t[69] + 4*t[70] - 4*t[71] + 2*t[72] + 9*t[74] + 
       10*t[75] - 11*t[76] + 12*t[78] + 6*t[79] - 16*t[80] - (23*t[81])/4 + 
       (15*t[82])/4 - 22*t[83] + (313*t[84])/8 + (33*t[85])/2 - 2*t[86] - 
       (159*t[87])/4 + (69*t[88])/8 + (377*t[89])/16 - 10*t[95] - 4*t[96] + 
       2*t[97] - 72*t[98] + 96*t[99] - 38*t[100] + 12*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-16*t[1])/3 + (11*t[2])/3 - 4*t[3] + (427*t[4])/6 - (23*t[5])/2 + 
       (165*t[6])/16 + 11*t[7] + (71*t[8])/3 + (32*t[9])/3 + (311*t[10])/12 + 
       (1009*t[11])/16 + (515*t[12])/24 + (2257*t[13])/216 + (289*t[14])/12 - 
       (427*t[15])/72 + 2*t[16] - (11*t[25])/2 + (25*t[26])/2 + (4*t[27])/3 + 
       (4*t[28])/3 - (16*t[29])/3 + (4*t[30])/3 - (16*t[31])/3 + 2*t[33] + 
       t[34]/3 - 8*t[35] - 3*t[36] - 2*t[37] - (17*t[38])/3 - 2*t[39] - 
       t[41]/6 + t[42]/6 - (2*t[43])/3 + (4*t[44])/3 + t[45] + (33*t[46])/4 - 
       t[47] + (119*t[48])/48 - (71*t[49])/2 + (359*t[50])/48 - 
       (95*t[51])/16 - (199*t[52])/48 + (187*t[53])/12 - (1475*t[54])/48 + 
       t[58] + (11*t[59])/6 + (769*t[60])/8 + (143*t[61])/4 - 
       (1531*t[62])/48 - (5815*t[63])/48 - (1967*t[64])/12 + (13*t[65])/18 - 
       (248*t[66])/9 + 2*t[69] + 4*t[70] - 4*t[71] + (8*t[72])/3 - 6*t[73] + 
       9*t[74] + 12*t[75] - (76*t[76])/3 - (10*t[77])/3 + (80*t[78])/3 + 
       8*t[79] - (50*t[80])/3 - (133*t[81])/12 + (27*t[82])/4 - 19*t[83] + 
       (569*t[84])/12 + (323*t[85])/24 + (40*t[86])/3 - (547*t[87])/24 + 
       (821*t[88])/48 + (185*t[89])/12 - 10*t[95] - 8*t[96] - (5*t[97])/3 - 
       164*t[98] + 188*t[99] - 24*t[100] + 12*t[101]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*(8*t[1] + 13*t[2] - 
       (183*t[3])/8 - (251*t[4])/2 + (121*t[5])/2 + (261*t[6])/8 - 
       (465*t[7])/8 + (1013*t[8])/8 - (175*t[9])/8 + (549*t[10])/8 - 
       (807*t[11])/4 + (19*t[12])/2 - (8843*t[13])/144 - (517*t[14])/12 - 
       (32*t[15])/3 + 4*t[16] + (3*t[17])/2 + 4*t[18] + 4*t[19] + 2*t[20] + 
       6*t[21] - 8*t[23] + 2*t[24] - 8*t[25] + 6*t[26] + 10*t[27] + 
       10*t[28] - (23*t[29])/2 - 24*t[30] + (31*t[32])/2 + 11*t[33] + 
       4*t[34] - 8*t[35] + 18*t[36] + 3*t[37] + 6*t[38] - 3*t[39] - 4*t[40] - 
       t[41]/2 + (5*t[42])/2 - (27*t[43])/8 - (73*t[44])/4 - (55*t[45])/4 + 
       2*t[46] + (49*t[47])/2 + 37*t[48] - (89*t[49])/4 - 20*t[50] + 
       9*t[51] + 28*t[52] + (81*t[53])/4 + (209*t[54])/4 + 2*t[58] - 
       (19*t[59])/2 - (175*t[60])/4 - (905*t[61])/4 + (47*t[62])/2 - 
       (359*t[63])/2 + (179*t[64])/8 + (460*t[65])/3 + 180*t[66] - 2*t[67] - 
       13*t[68] + 18*t[69] + 2*t[70] - 2*t[71] - 6*t[72] - 8*t[73] - 
       23*t[74] + 4*t[75] - 42*t[76] + 7*t[77] + 20*t[78] + 10*t[79] + 
       22*t[80] - 29*t[81] + 47*t[82] + 7*t[83] - (41*t[84])/2 + 
       (5*t[85])/2 + 14*t[86] + 80*t[87] + 70*t[88] + (377*t[89])/4 - 
       2*t[92] + 2*t[93] + 2*t[94] - 10*t[95] - 12*t[96] - 2*t[97] - 
       156*t[98] + 120*t[99] + 514*t[100] + 24*t[101]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*(t[1]/2 - (49*t[2])/2 + 
       (167*t[3])/4 + (133*t[4])/4 + (193*t[5])/8 - 75*t[6] - (197*t[7])/8 - 
       (367*t[8])/8 - (169*t[9])/2 + (305*t[10])/8 + (49*t[11])/8 + 
       (141*t[12])/8 + (2603*t[13])/144 - (2401*t[14])/16 - (1093*t[15])/72 + 
       3*t[16] + 4*t[18] - 2*t[19] + 26*t[20] - 4*t[21] - 2*t[22] + 4*t[23] - 
       4*t[24] - 3*t[25] + 4*t[26] + 6*t[27] - 10*t[28] - 5*t[29] + 
       16*t[30] - 6*t[31] + 6*t[32] + 2*t[33] + 2*t[34] + 12*t[35] - t[36] - 
       6*t[37] + 2*t[38] - 18*t[39] + 9*t[40] - 3*t[41] + 5*t[42] - 
       (45*t[43])/8 + (17*t[44])/2 + (11*t[45])/4 + (17*t[46])/2 + 
       (47*t[47])/2 - (77*t[48])/8 - (129*t[49])/4 + (319*t[50])/8 + 
       (233*t[51])/16 - (263*t[52])/8 + (51*t[53])/4 - (429*t[54])/8 - 
       4*t[57] + 3*t[58] - (19*t[59])/2 - (175*t[60])/4 - (905*t[61])/4 + 
       (47*t[62])/2 - (359*t[63])/2 + (179*t[64])/8 + (460*t[65])/3 + 
       180*t[66] - 2*t[67] - 13*t[68] + 18*t[69] + 2*t[70] - 2*t[71] - 
       6*t[72] - 8*t[73] - 23*t[74] + 4*t[75] - 42*t[76] + 7*t[77] + 
       20*t[78] + 10*t[79] + 22*t[80] - 29*t[81] + 47*t[82] + 7*t[83] - 
       (41*t[84])/2 + (5*t[85])/2 + 14*t[86] + 80*t[87] + 70*t[88] + 
       (377*t[89])/4 - 2*t[92] + 2*t[93] + 2*t[94] - 10*t[95] - 12*t[96] - 
       2*t[97] - 156*t[98] + 120*t[99] + 514*t[100] + 24*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*((79*t[2])/6 + 57*t[3] - 
       (415*t[4])/4 + (1061*t[5])/8 - (1119*t[6])/8 + (271*t[7])/4 - 
       (2565*t[8])/4 - (2535*t[9])/8 - (419*t[10])/8 + (1171*t[11])/8 + 
       (377*t[12])/4 - (539*t[13])/8 - (4483*t[14])/48 + (10199*t[15])/144 - 
       (5*t[17])/2 + 2*t[23] - 50*t[24] - 18*t[27] - 12*t[28] + (3*t[29])/2 + 
       55*t[30] - 60*t[31] - (237*t[32])/2 - 34*t[33] + 41*t[34] + 60*t[35] + 
       150*t[36] - 3*t[37] - 3*t[38] - 35*t[39] + (143*t[40])/2 - 11*t[41] + 
       11*t[42] + 3*t[43] + (219*t[44])/2 - 170*t[45] + 9*t[46] + 158*t[47] - 
       (355*t[48])/8 + (141*t[49])/8 + (689*t[50])/8 - (717*t[51])/16 - 
       (833*t[52])/8 - (45*t[53])/8 - (1431*t[54])/8 - 6*t[55] + 
       (235*t[59])/6 - 184*t[60] + (1283*t[61])/2 + (719*t[62])/4 + 
       287*t[63] + (1439*t[64])/4 + (596*t[65])/3 - 11*t[66] - 7*t[68] - 
       18*t[70] + 18*t[71] + 42*t[72] + 120*t[73] - 18*t[74] - 252*t[75] - 
       121*t[76] - 11*t[77] + 158*t[78] + 66*t[79] - 12*t[80] + 64*t[81] + 
       71*t[82] + 228*t[83] - (11*t[84])/2 - (139*t[85])/2 + 60*t[86] + 
       279*t[87] + (123*t[88])/2 - (1463*t[89])/4 + t[91] + 6*t[93] + 
       12*t[95] + 36*t[96] + 3*t[97] - 480*t[98] + 444*t[99] - 246*t[100] - 
       36*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*
      ((-171*t[1])/2 + 39*t[2] - (259*t[3])/4 - (249*t[4])/4 - 
       (1273*t[5])/8 + (249*t[6])/8 + (41*t[7])/4 + (221*t[8])/4 - 
       (521*t[9])/8 - (1645*t[10])/8 - (161*t[11])/8 + (1483*t[12])/4 - 
       (5125*t[13])/24 - (385*t[14])/16 + (1583*t[15])/16 + 6*t[16] - 
       2*t[26] - 46*t[27] - 36*t[28] - 18*t[29] + 48*t[31] + 6*t[32] - 
       6*t[33] - 3*t[34] - 36*t[35] + 48*t[36] + 5*t[37] - 82*t[38] + 
       8*t[39] - 25*t[40] + (3*t[41])/2 - (3*t[42])/2 + (15*t[43])/2 + 
       15*t[44] + 6*t[45] - 6*t[47] - (139*t[48])/8 - (1009*t[49])/8 + 
       (361*t[50])/8 + (3841*t[51])/48 - (337*t[52])/8 + (1453*t[53])/8 + 
       (1257*t[54])/8 - 3*t[58] + (235*t[59])/6 - 184*t[60] + 
       (1283*t[61])/2 + (719*t[62])/4 + 287*t[63] + (1439*t[64])/4 + 
       (596*t[65])/3 - 11*t[66] - 7*t[68] - 18*t[70] + 18*t[71] + 42*t[72] + 
       120*t[73] - 18*t[74] - 252*t[75] - 121*t[76] - 11*t[77] + 158*t[78] + 
       66*t[79] - 12*t[80] + 64*t[81] + 71*t[82] + 228*t[83] - (11*t[84])/2 - 
       (139*t[85])/2 + 60*t[86] + 279*t[87] + (123*t[88])/2 - 
       (1463*t[89])/4 + t[91] + 6*t[93] + 12*t[95] + 36*t[96] + 3*t[97] - 
       480*t[98] + 444*t[99] - 246*t[100] - 36*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((47*t[1])/3 - (49*t[2])/2 - 137*t[3] + (237*t[4])/2 - (809*t[5])/6 + 
       (811*t[6])/6 - 64*t[7] + 540*t[8] + (103*t[9])/3 + (1703*t[10])/12 - 
       62*t[11] + (85*t[12])/4 + (1469*t[13])/108 + (10451*t[14])/72 + 
       (2227*t[15])/36 + 4*t[18] + (8*t[19])/3 - 4*t[20] + 4*t[21] - 
       4*t[23] - 8*t[24] + 6*t[25] + (20*t[26])/3 - 10*t[27] + 20*t[28] - 
       (263*t[29])/6 - (112*t[30])/3 + 8*t[31] + (73*t[32])/3 - 
       (22*t[33])/3 - 30*t[34] + 24*t[35] + (44*t[36])/3 - (32*t[37])/3 + 
       (4*t[38])/3 + 13*t[39] + (11*t[40])/3 + 9*t[41] - 7*t[42] + 17*t[43] - 
       (248*t[44])/3 + (176*t[45])/3 + t[46] - 40*t[47] + (277*t[48])/3 - 
       (323*t[49])/12 - 74*t[50] + (179*t[51])/8 + (152*t[52])/3 + 
       (335*t[53])/12 + (919*t[54])/6 + (2*t[58])/3 + (58*t[59])/3 + 
       (733*t[60])/3 + (1480*t[61])/3 + (35*t[62])/6 - (1061*t[63])/2 - 
       301*t[64] + (1001*t[65])/3 + (1042*t[66])/9 + 4*t[68] - 20*t[72] + 
       116*t[73] + (80*t[74])/3 - 32*t[75] - (44*t[76])/3 + (28*t[77])/3 + 
       (92*t[78])/3 - 10*t[79] + (184*t[80])/3 - (92*t[81])/3 - 80*t[82] - 
       182*t[83] + (428*t[84])/3 - (28*t[85])/3 - (274*t[86])/3 + 142*t[87] + 
       (451*t[88])/3 + (1061*t[89])/3 - (64*t[95])/3 + (40*t[96])/3 + 
       12*t[97] - 344*t[98] + 160*t[99] + 612*t[100] - 20*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*
      ((-5*t[1])/3 - (95*t[2])/6 + (427*t[3])/8 - (433*t[4])/24 + 
       (3587*t[5])/48 - (1341*t[6])/16 - (323*t[7])/24 - (2873*t[8])/8 - 
       (2787*t[9])/16 - (1505*t[10])/48 + (4639*t[11])/48 + (653*t[12])/24 + 
       (9*t[13])/16 - (20765*t[14])/288 + (5461*t[15])/288 - t[17]/3 + 
       (4*t[23])/3 - (52*t[24])/3 - (25*t[27])/3 + 8*t[28] + (26*t[29])/3 + 
       (109*t[30])/3 - 30*t[31] - (371*t[32])/6 - 10*t[33] + (68*t[34])/3 + 
       22*t[35] + 75*t[36] - (7*t[37])/3 - t[38] - 23*t[39] + (271*t[40])/6 - 
       (13*t[41])/3 + (13*t[42])/3 + (13*t[43])/12 + (571*t[44])/12 - 
       (111*t[45])/2 + (29*t[46])/6 + (134*t[47])/3 - (1463*t[48])/48 + 
       (237*t[49])/16 + (2149*t[50])/48 - (813*t[51])/32 - (967*t[52])/16 - 
       (173*t[53])/16 - (1841*t[54])/16 - (8*t[55])/3 + (35*t[59])/2 - 
       (323*t[60])/3 + (3509*t[61])/12 + (643*t[62])/4 + (695*t[63])/4 + 
       (4249*t[64])/24 + (445*t[65])/9 - (2065*t[66])/36 - (10*t[68])/3 - 
       (38*t[70])/3 + (38*t[71])/3 + 7*t[72] + 112*t[73] - (31*t[74])/3 - 
       188*t[75] - (109*t[76])/3 - (25*t[77])/6 + 50*t[78] + 41*t[79] - 
       (34*t[80])/3 + (215*t[81])/6 + (169*t[82])/6 + 94*t[83] - 
       (47*t[84])/12 - (89*t[85])/6 - (125*t[86])/3 + (359*t[87])/3 + 
       (77*t[88])/6 - (695*t[89])/4 + t[91]/3 + 2*t[93] + (26*t[95])/3 + 
       (56*t[96])/3 - (10*t[97])/3 - 108*t[98] + 76*t[99] - 159*t[100] - 
       18*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*
      (-29*t[1] + (103*t[2])/4 - (893*t[3])/24 - (271*t[4])/8 - 
       (5255*t[5])/48 + (1915*t[6])/48 - (53*t[7])/24 + (229*t[8])/8 + 
       (121*t[9])/48 - (2933*t[10])/48 - (565*t[11])/16 + (955*t[12])/6 - 
       (49561*t[13])/432 + (1093*t[14])/288 + (3953*t[15])/96 + (8*t[16])/3 - 
       4*t[25] + (19*t[26])/3 - (44*t[27])/3 - 10*t[28] - 9*t[29] + 
       20*t[31] + 3*t[32] - 3*t[33] - t[34] - 18*t[35] + (74*t[36])/3 + 
       4*t[37] - (91*t[38])/3 + 13*t[39] - (109*t[40])/6 + t[41]/2 - 
       t[42]/2 + (15*t[43])/4 + (15*t[44])/2 + (23*t[45])/6 - (5*t[46])/6 - 
       (14*t[47])/3 - (119*t[48])/16 - (863*t[49])/16 + (341*t[50])/16 + 
       (3739*t[51])/96 - (559*t[52])/48 + (1415*t[53])/16 + (4811*t[54])/48 - 
       t[58] + (35*t[59])/2 - (323*t[60])/3 + (3509*t[61])/12 + 
       (643*t[62])/4 + (695*t[63])/4 + (4249*t[64])/24 + (445*t[65])/9 - 
       (2065*t[66])/36 - (10*t[68])/3 - (38*t[70])/3 + (38*t[71])/3 + 
       7*t[72] + 112*t[73] - (31*t[74])/3 - 188*t[75] - (109*t[76])/3 - 
       (25*t[77])/6 + 50*t[78] + 41*t[79] - (34*t[80])/3 + (215*t[81])/6 + 
       (169*t[82])/6 + 94*t[83] - (47*t[84])/12 - (89*t[85])/6 - 
       (125*t[86])/3 + (359*t[87])/3 + (77*t[88])/6 - (695*t[89])/4 + 
       t[91]/3 + 2*t[93] + (26*t[95])/3 + (56*t[96])/3 - (10*t[97])/3 - 
       108*t[98] + 76*t[99] - 159*t[100] - 18*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (9*t[1] - 26*t[2] - (257*t[3])/4 - (137*t[4])/3 - (1573*t[5])/24 - 
       (485*t[6])/8 + (247*t[7])/12 + (235*t[8])/12 - (725*t[9])/24 - 
       (641*t[10])/12 + (985*t[11])/8 + (135*t[12])/8 - (347*t[13])/24 + 
       (265*t[14])/9 + (2137*t[15])/48 + 4*t[27] - 36*t[28] - 4*t[29] + 
       2*t[30] - 20*t[31] + 4*t[32] - 4*t[33] - 16*t[34] + 48*t[35] + 
       62*t[36] + 4*t[38] + 17*t[40] + (11*t[43])/2 + 2*t[44] + 9*t[45] + 
       16*t[46] - 14*t[47] + (267*t[48])/8 + (95*t[49])/6 + (143*t[50])/8 - 
       (103*t[51])/4 - (207*t[52])/8 + t[53]/6 - (257*t[54])/24 + 6*t[59] - 
       (1655*t[60])/12 + (4643*t[61])/12 - (3335*t[62])/24 - (99*t[63])/8 + 
       (7351*t[64])/24 + (263*t[65])/36 - (1025*t[66])/12 - 4*t[68] + 
       20*t[72] + 82*t[73] - 230*t[75] + 34*t[76] - 26*t[77] - 54*t[78] + 
       42*t[79] + 24*t[80] + 28*t[81] - 16*t[82] + (500*t[83])/3 - 
       (527*t[84])/12 - (755*t[85])/12 + (370*t[86])/3 + (481*t[87])/4 + 
       (481*t[88])/8 - (2245*t[89])/24 + 26*t[96] + 16*t[97] + 168*t[98] - 
       192*t[99] - 176*t[100] - 12*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*(-3*t[1] + 14*t[2] - (245*t[3])/12 + 
       (121*t[4])/4 - (1465*t[5])/24 + (41*t[6])/3 + (19*t[7])/12 + 
       (2269*t[8])/12 - (429*t[9])/8 + (2395*t[10])/24 + (223*t[11])/6 + 
       (581*t[12])/12 - (2375*t[13])/72 + (5621*t[14])/144 + (461*t[15])/48 + 
       8*t[26] - 8*t[27] - (92*t[28])/3 - (88*t[29])/3 + (28*t[30])/3 - 
       4*t[31] + 4*t[32] - 4*t[33] - 8*t[34] - 48*t[35] + 28*t[36] - 
       4*t[38] + 8*t[39] - 2*t[40] + 4*t[41] - 4*t[42] - (9*t[43])/2 + 
       (106*t[44])/3 - 11*t[45] + 26*t[47] + (39*t[48])/4 + (245*t[49])/8 - 
       (431*t[50])/12 - (165*t[51])/16 + (335*t[52])/12 - (117*t[53])/8 + 
       (307*t[54])/6 + 6*t[59] - (1655*t[60])/12 + (4643*t[61])/12 - 
       (3335*t[62])/24 - (99*t[63])/8 + (7351*t[64])/24 + (263*t[65])/36 - 
       (1025*t[66])/12 - 4*t[68] + 20*t[72] + 82*t[73] - 230*t[75] + 
       34*t[76] - 26*t[77] - 54*t[78] + 42*t[79] + 24*t[80] + 28*t[81] - 
       16*t[82] + (500*t[83])/3 - (527*t[84])/12 - (755*t[85])/12 + 
       (370*t[86])/3 + (481*t[87])/4 + (481*t[88])/8 - (2245*t[89])/24 + 
       26*t[96] + 16*t[97] + 168*t[98] - 192*t[99] - 176*t[100] - 
       12*t[102]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((53*t[1])/4 + (153*t[2])/4 + (3*t[3])/8 + (2135*t[4])/16 - 
       (2971*t[5])/16 - (609*t[6])/8 + (627*t[7])/8 - (1051*t[8])/8 + 
       (4205*t[9])/16 - (11881*t[10])/32 + (449*t[11])/8 + (1637*t[12])/32 + 
       (775*t[13])/6 - (16645*t[14])/192 - (1163*t[15])/9 + (3*t[16])/4 + 
       9*t[18] - 3*t[19] + 12*t[20] + 21*t[21] - 60*t[22] - 21*t[23] + 
       6*t[24] + 3*t[25] + (33*t[26])/2 - 27*t[27] + (23*t[29])/2 + 
       15*t[30] + 9*t[31] - (9*t[32])/2 + (15*t[33])/2 + 75*t[34] + 
       18*t[35] + 9*t[36] - 11*t[37] - 6*t[38] - (11*t[39])/2 - 2*t[40] - 
       15*t[41] + 27*t[42] - (297*t[43])/8 - (19*t[44])/2 - (867*t[45])/8 - 
       (37*t[46])/4 + (729*t[47])/4 - (51*t[48])/4 - (583*t[49])/32 + 
       (85*t[50])/4 + (1069*t[51])/64 - (109*t[52])/4 + (439*t[53])/32 + 
       (927*t[54])/16 + (3*t[58])/2 - (211*t[59])/4 + (3397*t[60])/16 - 
       (675*t[61])/16 - (4917*t[62])/32 - (5395*t[63])/32 + 
       (11477*t[64])/32 + (7085*t[65])/48 - (8339*t[66])/48 + (27*t[68])/4 - 
       56*t[69] + 4*t[70] - 4*t[71] + 15*t[72] + 48*t[73] - 8*t[74] - 
       24*t[75] + 119*t[76] - 69*t[77] - (303*t[78])/4 + t[79] + 213*t[80] + 
       (217*t[81])/4 + 36*t[82] + 97*t[83] + (585*t[84])/16 + (41*t[85])/16 + 
       (1049*t[86])/4 - (2089*t[87])/16 - (2233*t[88])/32 - (759*t[89])/32 - 
       (9*t[90])/4 - t[91]/4 + 3*t[93] + (15*t[97])/2 + 414*t[98] - 
       702*t[99] + (81*t[100])/2 - 9*t[102]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-37*t[1])/2 + (225*t[2])/8 - 
       (2213*t[3])/16 - (469*t[4])/2 + (993*t[5])/8 - (327*t[6])/32 - 
       (299*t[7])/16 + (5359*t[8])/16 - (27*t[9])/4 + (1913*t[10])/16 + 
       (2517*t[11])/32 + (591*t[12])/8 + (4619*t[13])/32 + (16465*t[14])/96 + 
       (4755*t[15])/32 + (9*t[17])/2 + 12*t[18] - 14*t[19] + 21*t[20] + 
       15*t[21] - 21*t[22] - (55*t[23])/2 + 15*t[24] + 24*t[25] - 
       (65*t[26])/2 - 18*t[27] + 24*t[28] - (123*t[29])/4 - (51*t[30])/2 + 
       12*t[31] + 15*t[33] + (45*t[34])/2 - 47*t[35] - (9*t[36])/2 + 
       17*t[37] + t[38] + 9*t[39] - 6*t[40] + 7*t[41] - (11*t[42])/4 + 
       (171*t[43])/16 - (225*t[44])/8 + (93*t[45])/4 + (39*t[46])/4 - 
       9*t[47] - (923*t[48])/32 + (217*t[49])/8 - (1015*t[50])/32 - 
       (23*t[51])/8 + (919*t[52])/32 - (201*t[53])/8 + (31*t[54])/32 - 
       (9*t[56])/2 - 9*t[57] + (3*t[58])/2 - (211*t[59])/4 + 
       (3397*t[60])/16 - (675*t[61])/16 - (4917*t[62])/32 - (5395*t[63])/32 + 
       (11477*t[64])/32 + (7085*t[65])/48 - (8339*t[66])/48 + (27*t[68])/4 - 
       56*t[69] + 4*t[70] - 4*t[71] + 15*t[72] + 48*t[73] - 8*t[74] - 
       24*t[75] + 119*t[76] - 69*t[77] - (303*t[78])/4 + t[79] + 213*t[80] + 
       (217*t[81])/4 + 36*t[82] + 97*t[83] + (585*t[84])/16 + (41*t[85])/16 + 
       (1049*t[86])/4 - (2089*t[87])/16 - (2233*t[88])/32 - (759*t[89])/32 - 
       (9*t[90])/4 - t[91]/4 + 3*t[93] + (15*t[97])/2 + 414*t[98] - 
       702*t[99] + (81*t[100])/2 - 9*t[102]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-263*t[1])/36 + 
       (3419*t[2])/72 - (8893*t[3])/144 + (6059*t[4])/48 - (32557*t[5])/144 + 
       (56921*t[6])/576 + (14699*t[7])/144 - (6359*t[8])/48 + 
       (65113*t[9])/288 - (5141*t[10])/288 + (72247*t[11])/576 + 
       (15595*t[12])/288 - (8435*t[13])/324 + (71705*t[14])/432 - 
       (8105*t[15])/5184 + t[16] - (13*t[19])/3 - 2*t[20] - 5*t[21] + 
       2*t[22] + 5*t[23] + (11*t[25])/3 + 19*t[26] + (148*t[27])/9 + 
       (65*t[28])/2 - (317*t[29])/36 + (425*t[30])/12 + (91*t[31])/9 - 
       (116*t[32])/9 + (35*t[33])/9 + (349*t[34])/18 - (91*t[35])/3 - 
       (67*t[36])/6 + 25*t[37] - (143*t[38])/18 + (1771*t[39])/72 - 
       (349*t[40])/24 - (217*t[41])/36 + (163*t[42])/36 - (40*t[43])/9 - 
       (13*t[44])/18 + (95*t[45])/12 + (355*t[46])/12 - (625*t[47])/18 - 
       (2189*t[48])/64 - (18311*t[49])/288 + (44515*t[50])/576 - 
       (13577*t[51])/576 - (20867*t[52])/576 + (3677*t[53])/96 - 
       (8033*t[54])/192 + 7*t[58] - (367*t[59])/36 + (5277*t[60])/32 + 
       (7445*t[61])/32 + (85609*t[62])/576 + (27127*t[63])/576 - 
       (182383*t[64])/576 - (92851*t[65])/864 - (144833*t[66])/864 - 
       (8*t[68])/3 + (4*t[69])/3 + t[70] - t[71] - (191*t[72])/9 + 
       (413*t[73])/6 + (122*t[74])/3 - (175*t[75])/2 - (853*t[76])/18 - 
       (67*t[77])/18 + (1043*t[78])/18 + (55*t[79])/3 - (1279*t[80])/9 + 
       (265*t[81])/9 - (653*t[82])/12 + (515*t[83])/6 + (33881*t[84])/288 + 
       (20077*t[85])/288 - (3311*t[86])/18 - (8147*t[87])/288 - 
       (8339*t[88])/576 + (16759*t[89])/576 - t[91]/6 - (62*t[95])/3 - 
       (80*t[96])/3 - (467*t[97])/18 - (1279*t[98])/3 + (1663*t[99])/3 - 
       (938*t[100])/3 - 6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((9*t[1])/4 + (68*t[2])/3 - 28*t[3] + 
       (155*t[4])/24 - (725*t[5])/16 + (2369*t[6])/48 - (2107*t[7])/24 - 
       (61*t[8])/8 - (455*t[9])/48 - (85*t[10])/48 + (3187*t[11])/48 - 
       (121*t[12])/4 + (5479*t[13])/432 + (2185*t[14])/96 + 
       (19211*t[15])/864 + (7*t[16])/3 + t[19] - t[20] + t[21] - t[22] - 
       t[23] + 8*t[25] - (43*t[26])/3 - (4*t[27])/3 - 4*t[28] - 2*t[29] + 
       6*t[30] - 7*t[31] + (19*t[32])/6 + (10*t[33])/3 + (29*t[34])/6 - 
       34*t[35] + (7*t[36])/3 - (31*t[37])/3 + (13*t[38])/6 - 3*t[39] - 
       (7*t[40])/6 - (41*t[41])/12 + (41*t[42])/12 + (61*t[43])/4 - 
       (165*t[44])/4 + (38*t[45])/3 + (5*t[46])/6 - (83*t[47])/3 + 
       (37*t[48])/48 - (929*t[49])/48 + (91*t[50])/16 + (421*t[51])/96 + 
       (23*t[52])/48 - (287*t[53])/48 - (643*t[54])/48 - (25*t[59])/6 + 
       (397*t[60])/4 + (290*t[61])/3 + 139*t[62] + (77*t[63])/2 + 
       (1025*t[64])/12 - (305*t[65])/36 - (661*t[66])/12 - (4*t[68])/3 - 
       6*t[69] + (8*t[70])/3 - (8*t[71])/3 + 4*t[72] + 54*t[73] + 
       (37*t[74])/3 - 100*t[75] - (109*t[76])/3 - (74*t[77])/3 + 
       (109*t[78])/3 + 71*t[79] + (76*t[80])/3 + (293*t[81])/6 - 
       (91*t[82])/6 + 35*t[83] + (157*t[84])/2 + (467*t[85])/12 - 
       (124*t[86])/3 - (163*t[87])/4 + (23*t[88])/24 - (443*t[89])/24 - 
       2*t[93] - (38*t[95])/3 - (86*t[96])/3 - (37*t[97])/3 - 100*t[98] + 
       36*t[99] - 310*t[100] - 6*t[102]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((-65*t[1])/12 + 
       (31*t[2])/12 - (1591*t[3])/24 + (353*t[4])/8 - (4079*t[5])/48 + 
       (4327*t[6])/48 - (2615*t[7])/24 + (2057*t[8])/24 + (1073*t[9])/48 - 
       (5183*t[10])/48 - (911*t[11])/48 - (85*t[12])/24 + (1351*t[13])/144 + 
       (4609*t[14])/96 - (8371*t[15])/864 + (2*t[17])/3 + (32*t[19])/3 - 
       6*t[20] + 4*t[21] - 8*t[22] - 4*t[23] + 8*t[24] - t[26] - 
       (34*t[27])/3 - 4*t[28] + (4*t[29])/3 + 16*t[30] - 6*t[31] - 2*t[32] + 
       (17*t[33])/3 + (39*t[34])/2 + 2*t[35] - 2*t[36] - (22*t[37])/3 - 
       (19*t[38])/6 - (62*t[39])/3 + 23*t[40] + (9*t[41])/4 - (9*t[42])/4 - 
       (7*t[43])/3 - 34*t[44] - (19*t[45])/2 + (17*t[46])/6 - 8*t[47] + 
       (1879*t[48])/48 + (83*t[49])/16 - (127*t[50])/16 - (59*t[51])/96 + 
       (229*t[52])/48 - (1313*t[53])/48 + (4463*t[54])/48 - t[55] - 4*t[57] - 
       (25*t[59])/6 + (397*t[60])/4 + (290*t[61])/3 + 139*t[62] + 
       (77*t[63])/2 + (1025*t[64])/12 - (305*t[65])/36 - (661*t[66])/12 - 
       (4*t[68])/3 - 6*t[69] + (8*t[70])/3 - (8*t[71])/3 + 4*t[72] + 
       54*t[73] + (37*t[74])/3 - 100*t[75] - (109*t[76])/3 - (74*t[77])/3 + 
       (109*t[78])/3 + 71*t[79] + (76*t[80])/3 + (293*t[81])/6 - 
       (91*t[82])/6 + 35*t[83] + (157*t[84])/2 + (467*t[85])/12 - 
       (124*t[86])/3 - (163*t[87])/4 + (23*t[88])/24 - (443*t[89])/24 - 
       2*t[93] - (38*t[95])/3 - (86*t[96])/3 - (37*t[97])/3 - 100*t[98] + 
       36*t[99] - 310*t[100] - 6*t[102]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((-61*t[1])/36 + 
       (1735*t[2])/72 - (163*t[3])/4 + (24925*t[4])/288 - (423*t[5])/4 + 
       (1863*t[6])/32 - (499*t[7])/6 - (1481*t[8])/18 - (535*t[9])/144 - 
       (16441*t[10])/576 - (1363*t[11])/32 - (62309*t[12])/576 - 
       (110729*t[13])/2592 - (38353*t[14])/1152 - (29599*t[15])/1728 + 
       t[17]/3 - (19*t[19])/9 + 8*t[20] - 5*t[21] + 5*t[23] + (41*t[24])/3 - 
       (14*t[25])/3 + (29*t[26])/6 + (61*t[27])/9 - (233*t[28])/9 - 
       (643*t[29])/36 + (193*t[30])/9 - (52*t[31])/9 - (59*t[32])/6 + 
       (53*t[33])/3 - (439*t[34])/18 - 8*t[35] - (161*t[36])/6 - 
       (2*t[37])/3 + (167*t[38])/18 - (173*t[39])/12 + (64*t[40])/3 - 
       (275*t[41])/36 + (275*t[42])/36 - (805*t[43])/72 + (1387*t[44])/36 + 
       (271*t[45])/3 + (43*t[46])/3 - (314*t[47])/3 + (9217*t[48])/288 - 
       (6289*t[49])/192 + (20977*t[50])/288 + (2741*t[51])/384 - 
       (23681*t[52])/288 + (10867*t[53])/576 + (8011*t[54])/144 + t[55]/3 + 
       2*t[57] + (13*t[58])/6 - (193*t[59])/18 + (10397*t[60])/96 + 
       (12341*t[61])/96 + (101987*t[62])/576 + (7709*t[63])/576 - 
       (176645*t[64])/576 - (72977*t[65])/864 - (124123*t[66])/864 - 
       (8*t[68])/3 - 5*t[69] + t[70] - t[71] - (172*t[72])/9 + 
       (299*t[73])/6 + (122*t[74])/3 - (487*t[75])/6 - (835*t[76])/9 - 
       (257*t[77])/18 + (1879*t[78])/18 + (74*t[79])/3 - (1298*t[80])/9 + 
       (113*t[81])/9 - (539*t[82])/12 + (286*t[83])/3 + (41443*t[84])/288 + 
       (17303*t[85])/288 - (2437*t[86])/18 + (7319*t[87])/288 + 
       (7127*t[88])/576 + (1901*t[89])/576 - t[91]/6 - (62*t[95])/3 - 
       (118*t[96])/3 - (338*t[97])/9 - (2153*t[98])/3 + (2537*t[99])/3 - 
       (805*t[100])/3 - 6*t[102]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*(-15*t[1] + (25*t[2])/2 - (133*t[3])/6 + 
       (325*t[4])/12 + (1747*t[5])/24 - (509*t[6])/8 + (17*t[7])/4 - 
       (469*t[8])/6 - (151*t[9])/8 + (109*t[10])/24 + (1783*t[11])/24 + 
       (103*t[12])/2 + (3277*t[13])/36 + (1243*t[14])/48 + (9763*t[15])/144 + 
       4*t[22] + (22*t[25])/3 - (43*t[26])/3 + 12*t[27] - 2*t[28] - 6*t[29] - 
       3*t[30] - 4*t[31] - 4*t[32] + 4*t[33] + 21*t[34] - 14*t[35] + 
       2*t[36] + 8*t[37] - 2*t[38] - 12*t[39] + 14*t[40] - (5*t[41])/2 + 
       (5*t[42])/2 - (9*t[43])/4 + 10*t[44] - (41*t[45])/4 + (40*t[46])/3 - 
       (11*t[47])/2 - (233*t[48])/8 - (1081*t[49])/24 - (83*t[50])/24 + 
       (1511*t[51])/48 - (229*t[52])/24 + (1033*t[53])/24 + (15*t[54])/8 - 
       5*t[58] - (7*t[59])/2 + (1745*t[60])/12 + 43*t[61] + (1315*t[62])/24 - 
       (895*t[63])/24 + (1501*t[64])/12 + (33*t[65])/2 - (1229*t[66])/12 + 
       5*t[68] + 4*t[69] + 66*t[72] - 15*t[73] - t[74] + 109*t[75] + 
       41*t[76] - 12*t[77] - (25*t[78])/2 - 19*t[79] + 66*t[80] + 39*t[81] - 
       (11*t[82])/2 - (190*t[83])/3 + (85*t[84])/2 + (437*t[85])/12 - 
       (157*t[86])/6 - (2305*t[87])/12 - (2305*t[88])/24 - (1103*t[89])/24 + 
       3*t[90] + 8*t[93] + 7*t[97] + 84*t[98] - 96*t[99] - 144*t[100] - 
       6*t[102]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      (t[1]/2 - (75*t[2])/4 + (37*t[3])/6 - (115*t[4])/12 + (413*t[5])/24 + 
       (2099*t[6])/24 - (475*t[7])/8 + (2119*t[8])/24 + (169*t[9])/3 - 
       (1327*t[10])/12 - (121*t[11])/3 - (14*t[12])/3 + (719*t[13])/144 + 
       (2965*t[14])/48 - (1193*t[15])/24 - t[17] + 8*t[19] + (206*t[20])/3 - 
       8*t[21] - 10*t[22] + 7*t[23] - 8*t[25] - 2*t[26] - 14*t[27] + 
       (178*t[28])/3 - 3*t[29] - (212*t[30])/3 - 6*t[31] - 21*t[32] + 
       (47*t[33])/3 + 67*t[34] + 20*t[35] - 2*t[36] - 4*t[37] - 2*t[38] + 
       19*t[39] - 16*t[40] - (13*t[41])/2 + 7*t[42] - (3*t[43])/8 - 
       (247*t[44])/6 - (47*t[45])/2 - 6*t[46] + 34*t[47] + (437*t[48])/12 + 
       (421*t[49])/24 - (397*t[50])/12 - (565*t[51])/48 + (601*t[52])/12 - 
       (421*t[53])/24 + (103*t[54])/2 - t[56] - 2*t[57] - 2*t[58] - 
       (7*t[59])/2 + (1745*t[60])/12 + 43*t[61] + (1315*t[62])/24 - 
       (895*t[63])/24 + (1501*t[64])/12 + (33*t[65])/2 - (1229*t[66])/12 + 
       5*t[68] + 4*t[69] + 66*t[72] - 15*t[73] - t[74] + 109*t[75] + 
       41*t[76] - 12*t[77] - (25*t[78])/2 - 19*t[79] + 66*t[80] + 39*t[81] - 
       (11*t[82])/2 - (190*t[83])/3 + (85*t[84])/2 + (437*t[85])/12 - 
       (157*t[86])/6 - (2305*t[87])/12 - (2305*t[88])/24 - (1103*t[89])/24 + 
       3*t[90] + 8*t[93] + 7*t[97] + 84*t[98] - 96*t[99] - 144*t[100] - 
       6*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-7*t[1])/6 + (35*t[2])/4 - (23*t[3])/2 + 
       (1477*t[4])/24 - (445*t[5])/12 - (28*t[6])/3 + (65*t[7])/3 - 
       (473*t[8])/12 + (475*t[9])/12 + (1661*t[10])/48 + (145*t[11])/3 + 
       (1685*t[12])/48 + (2993*t[13])/54 + (5191*t[14])/96 - (245*t[15])/48 - 
       t[16]/3 + (14*t[25])/3 + (20*t[26])/3 + 8*t[27] - 2*t[29] - 5*t[30] + 
       4*t[31] + t[32] - t[33] - 2*t[35] + 3*t[36] + (28*t[37])/3 + 
       (8*t[38])/3 + (10*t[39])/3 - (4*t[40])/3 - t[43] + 8*t[44] + 
       (5*t[45])/12 - (7*t[46])/6 + t[47]/6 - (53*t[48])/4 - (749*t[49])/48 + 
       (91*t[50])/12 + (199*t[51])/96 - (25*t[52])/4 + (223*t[53])/16 + 
       (67*t[54])/24 - 2*t[59] + (1129*t[60])/24 + (927*t[61])/8 - 
       (1409*t[62])/48 - (373*t[63])/16 - (1187*t[64])/48 - (3395*t[65])/72 - 
       (13175*t[66])/72 + 4*t[68] + (14*t[70])/3 - (14*t[71])/3 + 13*t[72] + 
       50*t[73] + (4*t[74])/3 - 48*t[75] + (64*t[76])/3 - (17*t[77])/6 - 
       (56*t[78])/3 + 13*t[79] - t[80] + t[81] - (22*t[82])/3 + 12*t[83] + 
       (335*t[84])/8 + (143*t[85])/8 - (41*t[86])/6 - (607*t[87])/8 - 
       (1085*t[88])/48 - (1651*t[89])/48 - t[91]/6 + 2*t[93] - (8*t[95])/3 + 
       (4*t[96])/3 - (2*t[97])/3 + 68*t[98] - 132*t[99] - 105*t[100] - 
       6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*(t[1]/6 - 16*t[2] - (179*t[3])/8 + 
       (277*t[4])/12 - (103*t[5])/8 + (797*t[6])/48 - (877*t[7])/24 + 
       (571*t[8])/8 + (171*t[9])/8 + (33*t[10])/4 + (1513*t[11])/48 - 
       (61*t[12])/12 + (6767*t[13])/432 + (397*t[14])/9 - (40*t[15])/27 + 
       2*t[17] + 2*t[19] - 2*t[20] - 6*t[21] + 4*t[22] + (8*t[23])/3 + 
       (4*t[24])/3 - (11*t[27])/3 + 8*t[28] + 5*t[29] - (61*t[30])/3 - 
       2*t[31] + (28*t[32])/3 + (17*t[33])/3 - 9*t[34] + 12*t[35] - 7*t[36] + 
       t[37]/3 + (23*t[39])/3 - (21*t[40])/2 - (31*t[41])/6 + (31*t[42])/6 - 
       (35*t[43])/24 + (145*t[44])/12 + (79*t[45])/3 + t[46]/6 - 
       (85*t[47])/3 + (401*t[48])/48 + (73*t[49])/8 - (161*t[50])/16 - 
       (115*t[51])/16 + (835*t[52])/48 - (73*t[53])/8 + (77*t[54])/16 + 
       t[55]/3 - t[56] + 2*t[57] - 2*t[59] + (1129*t[60])/24 + 
       (927*t[61])/8 - (1409*t[62])/48 - (373*t[63])/16 - (1187*t[64])/48 - 
       (3395*t[65])/72 - (13175*t[66])/72 + 4*t[68] + (14*t[70])/3 - 
       (14*t[71])/3 + 13*t[72] + 50*t[73] + (4*t[74])/3 - 48*t[75] + 
       (64*t[76])/3 - (17*t[77])/6 - (56*t[78])/3 + 13*t[79] - t[80] + 
       t[81] - (22*t[82])/3 + 12*t[83] + (335*t[84])/8 + (143*t[85])/8 - 
       (41*t[86])/6 - (607*t[87])/8 - (1085*t[88])/48 - (1651*t[89])/48 - 
       t[91]/6 + 2*t[93] - (8*t[95])/3 + (4*t[96])/3 - (2*t[97])/3 + 
       68*t[98] - 132*t[99] - 105*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((25*t[1])/3 + (41*t[2])/4 - (487*t[3])/12 + (1061*t[4])/24 - 
       (635*t[5])/12 + (709*t[6])/16 + (211*t[7])/6 + (329*t[8])/4 + 
       (367*t[9])/24 + (2189*t[10])/48 + (1403*t[11])/16 + (1129*t[12])/48 + 
       (10627*t[13])/216 + (7997*t[14])/96 + (521*t[15])/24 - t[16]/2 + 
       (11*t[25])/3 + (26*t[26])/3 + (8*t[27])/3 + 4*t[28] + (7*t[29])/2 + 
       2*t[30] + 2*t[31] + 3*t[32] - 3*t[33] - 5*t[34] - 10*t[35] + 
       (20*t[36])/3 + 9*t[37] + (14*t[38])/3 + 15*t[39] - (23*t[40])/6 + 
       (5*t[41])/2 - (5*t[42])/2 + 4*t[43] - 5*t[44] - (13*t[45])/12 - 
       (11*t[46])/3 + (31*t[47])/6 + (99*t[48])/16 + (295*t[49])/48 + 
       (49*t[50])/48 - (25*t[51])/96 + (85*t[52])/16 + (305*t[53])/48 + 
       (343*t[54])/16 + t[58] + (43*t[59])/6 + (29*t[60])/12 + 
       (2981*t[61])/12 + (10*t[62])/3 + 28*t[63] + (1481*t[64])/24 - 
       (298*t[65])/9 - (5551*t[66])/36 - t[67]/6 - (4*t[68])/3 + 2*t[69] - 
       (2*t[70])/3 + (2*t[71])/3 - 25*t[72] + 78*t[73] + 9*t[74] - 62*t[75] + 
       63*t[76] + (31*t[77])/6 - (263*t[78])/3 - 3*t[79] - 3*t[80] + 
       (133*t[81])/6 - (223*t[82])/6 - 19*t[83] + (29*t[84])/6 - 
       (43*t[85])/4 - (449*t[86])/6 - (53*t[87])/2 - (191*t[88])/12 + 
       (109*t[89])/4 - t[91]/6 - 2*t[93] + (4*t[95])/3 + (50*t[96])/3 + 
       (13*t[97])/3 + 296*t[98] - 408*t[99] - 95*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*
      ((-43*t[1])/6 + (51*t[2])/4 - (125*t[3])/8 - (491*t[4])/24 - 
       (903*t[5])/16 + (1417*t[6])/48 - (45*t[7])/8 + (245*t[8])/24 + 
       (1163*t[9])/48 - t[10]/16 - (1325*t[11])/48 + (653*t[12])/12 - 
       (20299*t[13])/432 + (1819*t[14])/288 + (321*t[15])/32 + (2*t[16])/3 - 
       4*t[25] + (41*t[26])/3 + (2*t[27])/3 + 2*t[28] - 3*t[29] + 4*t[31] + 
       t[32] - t[33] - 6*t[35] + (26*t[36])/3 + (7*t[37])/3 - (29*t[38])/3 + 
       (31*t[39])/3 - (59*t[40])/6 + (5*t[43])/4 + (5*t[44])/2 + 
       (11*t[45])/6 + (25*t[46])/6 - (8*t[47])/3 - (79*t[48])/48 - 
       (1091*t[49])/48 + (301*t[50])/48 + (1381*t[51])/96 + (115*t[52])/48 + 
       (1859*t[53])/48 + (2393*t[54])/48 + (22*t[59])/3 - 59*t[60] + 
       (305*t[61])/4 + (637*t[62])/6 + (307*t[63])/4 + (1627*t[64])/24 - 
       (88*t[65])/9 - (1325*t[66])/36 - t[68] - (20*t[70])/3 + (20*t[71])/3 - 
       7*t[72] + 72*t[73] - (13*t[74])/3 - 104*t[75] + 4*t[76] - t[77]/2 - 
       (8*t[78])/3 + 19*t[79] - (22*t[80])/3 + (29*t[81])/2 + (9*t[82])/2 + 
       18*t[83] - (49*t[84])/12 + (19*t[85])/3 - (185*t[86])/3 + 
       (118*t[87])/3 - (4*t[88])/3 - (139*t[89])/3 + (14*t[95])/3 + 
       (20*t[96])/3 - (13*t[97])/3 + 52*t[98] - 72*t[99] - 77*t[100] - 
       6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*
      ((-5*t[1])/3 - (88*t[2])/3 + (327*t[3])/8 + (397*t[4])/24 + 
       (1705*t[5])/48 - (507*t[6])/16 - (1177*t[7])/24 - (1139*t[8])/8 - 
       (4235*t[9])/48 - (667*t[10])/48 + (2033*t[11])/48 - (101*t[12])/24 + 
       (3139*t[13])/144 - (14599*t[14])/288 - (3143*t[15])/864 + t[17]/2 + 
       (2*t[23])/3 - (2*t[24])/3 - (7*t[27])/3 + 12*t[28] + (17*t[29])/6 + 
       22*t[30] - 10*t[31] - 29*t[32] + 8*t[33] + 9*t[34] + 2*t[35] + 
       25*t[36] - (4*t[37])/3 - (34*t[39])/3 + (64*t[40])/3 - (2*t[41])/3 + 
       (2*t[42])/3 + t[43]/12 + (197*t[44])/12 + (7*t[45])/6 + (11*t[46])/6 - 
       8*t[47] - (195*t[48])/16 + (143*t[49])/16 + (169*t[50])/16 - 
       (335*t[51])/32 - (971*t[52])/48 - (143*t[53])/16 - (799*t[54])/16 - 
       (2*t[55])/3 + (22*t[59])/3 - 59*t[60] + (305*t[61])/4 + 
       (637*t[62])/6 + (307*t[63])/4 + (1627*t[64])/24 - (88*t[65])/9 - 
       (1325*t[66])/36 - t[68] - (20*t[70])/3 + (20*t[71])/3 - 7*t[72] + 
       72*t[73] - (13*t[74])/3 - 104*t[75] + 4*t[76] - t[77]/2 - 
       (8*t[78])/3 + 19*t[79] - (22*t[80])/3 + (29*t[81])/2 + (9*t[82])/2 + 
       18*t[83] - (49*t[84])/12 + (19*t[85])/3 - (185*t[86])/3 + 
       (118*t[87])/3 - (4*t[88])/3 - (139*t[89])/3 + (14*t[95])/3 + 
       (20*t[96])/3 - (13*t[97])/3 + 52*t[98] - 72*t[99] - 77*t[100] - 
       6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-5*t[1] + (11*t[2])/4 - (119*t[3])/8 - 
       (359*t[4])/12 - (421*t[5])/8 + (423*t[6])/16 + (557*t[7])/24 + 
       (1787*t[8])/24 + (533*t[9])/8 - (69*t[10])/4 + (373*t[11])/48 + 
       15*t[12] - (12865*t[13])/432 + (943*t[14])/24 + (1133*t[15])/108 + 
       (2*t[17])/3 - 4*t[19] - 12*t[20] + 10*t[22] + (10*t[23])/3 + 8*t[24] + 
       15*t[26] + (7*t[27])/3 + (56*t[28])/3 + 4*t[29] + (29*t[30])/6 - 
       (86*t[31])/3 - (5*t[32])/6 - (25*t[33])/6 - (17*t[34])/3 - 36*t[35] + 
       9*t[36] + (31*t[37])/3 - (28*t[38])/3 + (47*t[39])/3 - (41*t[40])/6 - 
       t[41] + t[42] - (79*t[43])/24 - (31*t[44])/12 + (76*t[45])/3 + 
       (29*t[46])/6 - (38*t[47])/3 + (547*t[48])/16 - (515*t[49])/24 + 
       (1261*t[50])/48 - (187*t[51])/48 - (733*t[52])/48 + (129*t[53])/8 - 
       t[54]/48 - t[55]/3 + t[56] + 2*t[57] + 5*t[58] + (19*t[59])/3 - 
       (2087*t[60])/24 + (2017*t[61])/24 + (2315*t[62])/48 - 
       (1211*t[63])/48 + (1239*t[64])/16 + (77*t[65])/24 - (8377*t[66])/72 - 
       t[67]/6 - (4*t[68])/3 - 8*t[69] - (2*t[70])/3 + (2*t[71])/3 - 
       (65*t[72])/3 + 48*t[73] + 9*t[74] - 52*t[75] - (26*t[76])/3 - 
       (23*t[77])/2 - (43*t[78])/3 + 7*t[79] - (19*t[80])/3 - (9*t[81])/2 - 
       (133*t[82])/6 - 4*t[83] + (1111*t[84])/24 - (623*t[85])/24 + 
       (11*t[86])/6 + (1399*t[87])/24 + (1271*t[88])/48 - (647*t[89])/48 - 
       t[91]/6 - 2*t[93] + (4*t[95])/3 - (10*t[96])/3 - 14*t[97] - 
       164*t[98] + 52*t[99] - 25*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((47*t[1])/4 - 35*t[2] + (517*t[3])/24 - (925*t[4])/24 + (941*t[5])/6 + 
       (23*t[6])/24 - (1873*t[7])/24 + (1583*t[8])/24 - (1669*t[9])/8 + 
       (1475*t[10])/16 - 112*t[11] - (1741*t[12])/48 + (2371*t[13])/432 - 
       (30829*t[14])/288 + (5239*t[15])/432 + (8*t[16])/3 + t[17] + 
       (16*t[18])/3 - 2*t[19] + 8*t[20] + (16*t[21])/3 + (25*t[22])/3 - 
       (13*t[23])/3 + 4*t[24] + 13*t[25] + (7*t[26])/3 + 13*t[27] + 
       22*t[28] + (67*t[29])/6 + (83*t[30])/6 - 16*t[31] + 14*t[32] - 
       (5*t[33])/6 - (187*t[34])/6 - 26*t[35] + (49*t[36])/3 + 25*t[37] + 
       (29*t[38])/2 + (15*t[39])/2 + (37*t[40])/3 - (15*t[41])/4 + 
       (71*t[42])/12 - (67*t[43])/8 + (11*t[44])/12 + (50*t[45])/3 + 
       (47*t[46])/6 - (38*t[47])/3 + 53*t[48] - (1259*t[49])/48 - 11*t[50] - 
       (119*t[51])/96 - (23*t[52])/6 + (1307*t[53])/48 + (173*t[54])/24 + 
       (2*t[58])/3 - (59*t[59])/6 + (121*t[60])/12 - 97*t[61] + 
       (3779*t[62])/24 - (6203*t[63])/24 + (509*t[64])/3 + (1363*t[65])/9 - 
       (83*t[66])/4 + t[67]/3 - 7*t[68] + 18*t[69] - (14*t[70])/3 + 
       (14*t[71])/3 + 8*t[72] + 64*t[73] - (17*t[74])/3 - 60*t[75] - 
       (103*t[76])/3 - (10*t[77])/3 - 9*t[78] + 23*t[79] - (161*t[80])/3 - 
       (3*t[81])/2 - (37*t[82])/6 - 75*t[83] + (329*t[84])/12 - 
       (95*t[85])/6 - (751*t[86])/6 + 37*t[87] + 28*t[88] + (3227*t[89])/24 - 
       t[91]/3 - t[92]/3 + 4*t[93] - t[94]/3 - 2*t[95] - 2*t[96] - 
       (14*t[97])/3 - 76*t[98] - 60*t[99] + 212*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((55*t[1])/12 - (491*t[2])/12 - (163*t[3])/3 + (461*t[4])/8 - 
       (1033*t[5])/12 + (131*t[6])/4 - (455*t[7])/8 + (189*t[8])/8 + 
       (549*t[9])/8 + (1033*t[10])/16 - (569*t[11])/24 + (2053*t[12])/48 + 
       (18481*t[13])/432 + (12167*t[14])/288 - (428*t[15])/9 + (4*t[16])/3 - 
       (5*t[17])/3 + (4*t[18])/3 + (50*t[19])/3 - 2*t[20] - (20*t[21])/3 + 
       11*t[22] + (20*t[23])/3 - (20*t[24])/3 + 9*t[25] + (16*t[26])/3 + 
       3*t[27] - 3*t[29] - 13*t[30] + (14*t[32])/3 - (20*t[33])/3 - 
       (65*t[34])/6 + 22*t[35] + (20*t[36])/3 - (13*t[37])/3 + (25*t[38])/6 + 
       (26*t[39])/3 - (15*t[40])/2 + (55*t[41])/12 - (47*t[42])/12 - 
       (263*t[43])/24 - (2*t[44])/3 - (31*t[45])/6 + (15*t[46])/2 + 
       37*t[47] + (115*t[48])/8 - (1861*t[49])/48 + (169*t[50])/24 + 
       (389*t[51])/96 + (259*t[52])/24 + (1525*t[53])/48 + (547*t[54])/12 + 
       (2*t[56])/3 - (8*t[57])/3 + 6*t[58] - (59*t[59])/6 + (121*t[60])/12 - 
       97*t[61] + (3779*t[62])/24 - (6203*t[63])/24 + (509*t[64])/3 + 
       (1363*t[65])/9 - (83*t[66])/4 + t[67]/3 - 7*t[68] + 18*t[69] - 
       (14*t[70])/3 + (14*t[71])/3 + 8*t[72] + 64*t[73] - (17*t[74])/3 - 
       60*t[75] - (103*t[76])/3 - (10*t[77])/3 - 9*t[78] + 23*t[79] - 
       (161*t[80])/3 - (3*t[81])/2 - (37*t[82])/6 - 75*t[83] + 
       (329*t[84])/12 - (95*t[85])/6 - (751*t[86])/6 + 37*t[87] + 28*t[88] + 
       (3227*t[89])/24 - t[91]/3 - t[92]/3 + 4*t[93] - t[94]/3 - 2*t[95] - 
       2*t[96] - (14*t[97])/3 - 76*t[98] - 60*t[99] + 212*t[100] - 
       6*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((5*t[1])/2 + (49*t[2])/4 + (117*t[3])/8 - 
       (37*t[4])/2 - (189*t[5])/16 - (507*t[6])/16 - (313*t[7])/8 - 
       (307*t[8])/8 - (925*t[9])/16 + (359*t[10])/8 - (645*t[11])/16 - 
       (275*t[12])/16 - (4949*t[13])/144 - (593*t[14])/12 + (163*t[15])/96 - 
       4*t[25] + t[27] - 6*t[28] + 3*t[29] + 15*t[30] - 6*t[31] - t[32] + 
       t[33] + 2*t[34] - 14*t[35] + 3*t[36] + 3*t[38] - 10*t[39] + 
       (9*t[40])/2 - t[41] + t[42] - (21*t[43])/4 + (19*t[44])/2 + 
       (21*t[45])/2 + 9*t[46] - 22*t[47] - (443*t[48])/16 - (27*t[49])/4 + 
       (409*t[50])/16 - (15*t[51])/8 - (377*t[52])/16 - (5*t[53])/4 + 
       (79*t[54])/16 - 2*t[59] - (645*t[60])/8 - (557*t[61])/8 + 
       (1235*t[62])/16 + (1237*t[63])/16 + (247*t[64])/16 - t[65]/8 + 
       (2503*t[66])/24 - 4*t[68] + 12*t[72] - 50*t[73] + 54*t[75] - 
       23*t[76] - 11*t[77] + 33*t[78] - 2*t[79] - 44*t[80] - (9*t[81])/2 + 
       (45*t[82])/2 + 52*t[83] - (109*t[84])/8 - (75*t[85])/8 - 20*t[86] + 
       (309*t[87])/8 + (309*t[88])/16 - (959*t[89])/16 - 5*t[96] - 4*t[97] - 
       288*t[98] + 252*t[99] + 351*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-3*t[1])/2 + (61*t[2])/4 + (81*t[3])/8 - (255*t[4])/8 - 
       (157*t[5])/16 - (221*t[6])/8 - (443*t[7])/8 - (171*t[8])/8 - 
       (963*t[9])/16 + (449*t[10])/16 - (491*t[11])/8 + 9*t[12] - 
       (6731*t[13])/144 - (679*t[14])/32 + (105*t[15])/32 + 4*t[20] + 
       4*t[27] - 20*t[28] - (11*t[29])/2 + 7*t[30] - 2*t[31] - t[32] + 
       t[33] + 2*t[34] + 2*t[35] - 3*t[36] - t[38] - (13*t[39])/2 + 
       (5*t[40])/2 - t[41] + t[42] - (21*t[43])/4 - 21*t[44] + (21*t[45])/2 + 
       (3*t[46])/2 - 22*t[47] - (17*t[48])/4 - (159*t[49])/16 + 
       (15*t[50])/2 + (103*t[51])/32 - (11*t[52])/2 + (95*t[53])/16 + 
       (65*t[54])/8 - 2*t[59] - (645*t[60])/8 - (557*t[61])/8 + 
       (1235*t[62])/16 + (1237*t[63])/16 + (247*t[64])/16 - t[65]/8 + 
       (2503*t[66])/24 - 4*t[68] + 12*t[72] - 50*t[73] + 54*t[75] - 
       23*t[76] - 11*t[77] + 33*t[78] - 2*t[79] - 44*t[80] - (9*t[81])/2 + 
       (45*t[82])/2 + 52*t[83] - (109*t[84])/8 - (75*t[85])/8 - 20*t[86] + 
       (309*t[87])/8 + (309*t[88])/16 - (959*t[89])/16 - 5*t[96] - 4*t[97] - 
       288*t[98] + 252*t[99] + 351*t[100] - 6*t[102]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (-t[1] - (5*t[2])/24 - (707*t[3])/4 + (1513*t[4])/12 - (371*t[5])/4 + 
       (8461*t[6])/96 - (1181*t[7])/24 + (323*t[8])/2 + (221*t[9])/48 + 
       (353*t[10])/12 + (4399*t[11])/96 - (113*t[12])/3 + (10855*t[13])/144 + 
       (6673*t[14])/288 + (33235*t[15])/864 + (19*t[17])/6 - (5*t[19])/9 + 
       26*t[20] - 3*t[21] - 20*t[22] + 3*t[23] + 5*t[24] + (16*t[25])/3 - 
       (5*t[26])/3 + (32*t[27])/3 + (119*t[28])/6 + (65*t[29])/6 + 
       (41*t[30])/6 + (16*t[31])/3 + (115*t[32])/3 + (4*t[33])/3 - 7*t[34] - 
       (14*t[35])/3 - (10*t[36])/3 + (29*t[37])/3 + t[38]/2 - 
       (473*t[39])/24 + (107*t[40])/8 - (17*t[41])/6 + (17*t[42])/6 + 
       (41*t[43])/8 - (215*t[44])/8 + (119*t[45])/2 + (15*t[46])/2 - 
       (373*t[47])/6 + (977*t[48])/32 - (289*t[49])/8 + (3343*t[50])/96 + 
       (721*t[51])/48 - (5423*t[52])/96 + (189*t[53])/8 + (5305*t[54])/96 - 
       t[55]/3 - 2*t[56] - 2*t[57] - t[58]/3 + (16*t[59])/3 + 
       (13547*t[60])/48 + (13085*t[61])/48 - (1685*t[62])/96 - 
       (7025*t[63])/32 - (13213*t[64])/96 + (5527*t[65])/144 - 
       (26503*t[66])/144 - (7*t[68])/3 + (22*t[69])/3 + (31*t[70])/3 - 
       (31*t[71])/3 - 14*t[72] + (467*t[73])/6 + 14*t[74] - (69*t[75])/2 + 
       (35*t[76])/6 + (103*t[77])/6 + (45*t[78])/2 - 12*t[79] - 
       (181*t[80])/3 + (47*t[81])/4 - (679*t[82])/12 - (67*t[83])/2 + 
       (5423*t[84])/48 + (2689*t[85])/48 - (231*t[86])/2 - (1289*t[87])/48 + 
       (1373*t[88])/32 + (14561*t[89])/96 - t[91]/6 + 2*t[93] - 
       (112*t[95])/3 - (64*t[96])/3 - (10*t[97])/3 - 81*t[98] + 85*t[99] - 
       26*t[100] - 10*t[101] - 6*t[102]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-443*t[1])/36 + 
       (1979*t[2])/72 - (281*t[3])/3 + (3395*t[4])/72 - (2063*t[5])/24 + 
       (661*t[6])/4 - (55*t[7])/12 + (5461*t[8])/36 + (11081*t[9])/72 + 
       (10195*t[10])/144 - (209*t[11])/8 + (5801*t[12])/144 - 
       (955*t[13])/162 + (50435*t[14])/288 + (3731*t[15])/432 + (4*t[16])/3 + 
       4*t[18] - t[19] + 5*t[20] - t[21] - 5*t[22] + t[23] + 17*t[25] + 
       (89*t[26])/6 - (40*t[27])/9 + (260*t[28])/9 - (14*t[29])/9 - 
       (121*t[30])/9 - (56*t[31])/9 + 7*t[32] - (10*t[33])/3 + 
       (85*t[34])/18 - (44*t[35])/3 - (26*t[36])/3 + (25*t[37])/3 - 
       (305*t[38])/18 + (173*t[39])/6 - (59*t[40])/3 - (61*t[41])/36 + 
       (43*t[42])/36 + (133*t[43])/18 - (214*t[44])/9 - (3*t[45])/4 + 
       (13*t[46])/4 + (2*t[47])/3 + (1049*t[48])/18 - (1493*t[49])/48 + 
       (11*t[50])/18 - (977*t[51])/96 + (349*t[52])/9 - (25*t[53])/144 + 
       (182*t[54])/9 + (43*t[58])/6 + (173*t[59])/36 + (1805*t[60])/8 + 
       (337*t[61])/2 + (1567*t[62])/144 - (36467*t[63])/144 - 
       (18385*t[64])/144 + (13259*t[65])/216 - (34577*t[66])/216 - 
       (7*t[68])/3 + t[69] + (31*t[70])/3 - (31*t[71])/3 - (107*t[72])/9 + 
       (353*t[73])/6 + 14*t[74] - (169*t[75])/6 - (356*t[76])/9 + 
       (119*t[77])/18 + (1241*t[78])/18 - (17*t[79])/3 - (562*t[80])/9 - 
       (185*t[81])/36 - (565*t[82])/12 - 24*t[83] + (10025*t[84])/72 + 
       (835*t[85])/18 - (1205*t[86])/18 + (1933*t[87])/72 + 
       (10045*t[88])/144 + (18127*t[89])/144 - t[91]/6 + 2*t[93] - 
       (112*t[95])/3 - 34*t[96] - (269*t[97])/18 - (1117*t[98])/3 + 
       (1129*t[99])/3 + (55*t[100])/3 - 10*t[101] - 6*t[102]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-145*t[1])/12 - (305*t[2])/12 - (7571*t[3])/24 + (3275*t[4])/24 + 
       (1253*t[5])/24 + (8339*t[6])/48 - (9461*t[7])/24 + (9505*t[8])/24 - 
       (2135*t[9])/24 + (7111*t[10])/48 + (4123*t[11])/48 - (6817*t[12])/48 + 
       (122813*t[13])/432 + (95437*t[14])/288 + (6175*t[15])/48 + 6*t[17] + 
       12*t[18] - (76*t[19])/9 + 12*t[20] - 4*t[21] + 6*t[22] + 4*t[23] + 
       6*t[24] + 12*t[25] - 24*t[27] + 24*t[28] - (231*t[29])/2 - 179*t[30] + 
       30*t[31] - 43*t[32] + (256*t[33])/3 + (169*t[34])/6 - 10*t[35] + 
       33*t[36] + 22*t[37] - 12*t[38] + (23*t[39])/6 - (61*t[40])/6 - 
       (97*t[41])/12 + (97*t[42])/12 - (3*t[43])/8 - (179*t[44])/4 + 
       (383*t[45])/3 - (113*t[46])/6 - (353*t[47])/3 + (4279*t[48])/48 - 
       (185*t[49])/48 - (1399*t[50])/16 - (91*t[51])/96 + (5053*t[52])/48 - 
       (2327*t[53])/48 + (2527*t[54])/48 - 3*t[56] + 6*t[57] - (31*t[59])/2 + 
       653*t[60] - (1141*t[61])/6 - (1415*t[62])/48 - (34349*t[63])/48 - 
       (265*t[64])/8 - (51245*t[65])/72 - (2449*t[66])/3 - 9*t[68] - 
       14*t[69] - 6*t[72] + 42*t[73] + 42*t[74] - 120*t[75] + (325*t[76])/6 - 
       (193*t[77])/6 + 174*t[78] - 96*t[79] + (11*t[80])/6 - (181*t[81])/6 - 
       48*t[82] + 108*t[83] + (651*t[84])/4 + (1381*t[85])/12 - 
       (523*t[86])/4 + (473*t[87])/6 + (995*t[88])/12 + 48*t[89] - 48*t[95] - 
       (188*t[96])/3 - 35*t[97] - 360*t[98] + 60*t[99] + 210*t[100] + 
       2*t[101] - 6*t[102]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-149*t[1])/12 - (11*t[2])/6 + 120*t[3] + (2641*t[4])/12 + 
       (67*t[5])/3 - (7471*t[6])/48 + (167*t[7])/4 - (2161*t[8])/4 + 
       (53*t[9])/24 - (8179*t[10])/24 - (255*t[11])/16 + (1213*t[12])/24 + 
       (28979*t[13])/108 - (16819*t[14])/72 - (18799*t[15])/144 - 3*t[16] + 
       11*t[19] + 12*t[20] + 12*t[21] - 12*t[22] - 12*t[23] + 33*t[25] - 
       (89*t[26])/2 - 9*t[27] - 18*t[28] - 34*t[29] - (40*t[30])/3 + 
       10*t[31] - (2*t[32])/3 + t[33] + (119*t[34])/6 + 74*t[35] - 6*t[36] + 
       10*t[37] - 5*t[38] - (137*t[39])/3 + (305*t[40])/6 - (47*t[41])/12 + 
       (47*t[42])/12 - 5*t[43] + (184*t[44])/3 - (103*t[45])/6 - 
       (35*t[46])/2 + (69*t[47])/2 - (6889*t[48])/48 - (3677*t[49])/24 + 
       (4991*t[50])/48 + (5693*t[51])/48 - (6775*t[52])/48 + 
       (1285*t[53])/24 - (3527*t[54])/48 - (15*t[58])/2 - (31*t[59])/2 + 
       653*t[60] - (1141*t[61])/6 - (1415*t[62])/48 - (34349*t[63])/48 - 
       (265*t[64])/8 - (51245*t[65])/72 - (2449*t[66])/3 - 9*t[68] - 
       14*t[69] - 6*t[72] + 42*t[73] + 42*t[74] - 120*t[75] + (325*t[76])/6 - 
       (193*t[77])/6 + 174*t[78] - 96*t[79] + (11*t[80])/6 - (181*t[81])/6 - 
       48*t[82] + 108*t[83] + (651*t[84])/4 + (1381*t[85])/12 - 
       (523*t[86])/4 + (473*t[87])/6 + (995*t[88])/12 + 48*t[89] - 48*t[95] - 
       (188*t[96])/3 - 35*t[97] - 360*t[98] + 60*t[99] + 210*t[100] + 
       2*t[101] - 6*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((13*t[1])/2 - (7*t[2])/4 - (181*t[3])/24 + 
       (137*t[4])/8 - (575*t[5])/48 - (1861*t[6])/48 + (227*t[7])/8 - 
       (245*t[8])/8 - (145*t[9])/16 - (665*t[10])/48 + (3869*t[11])/48 + 
       (41*t[12])/3 + (4001*t[13])/144 - (2261*t[14])/288 + (255*t[15])/32 + 
       2*t[27] - 12*t[28] - 5*t[29] + 15*t[30] - (28*t[31])/3 + t[32] - 
       t[33] - 2*t[34] - 26*t[35] - 9*t[36] - 10*t[37] + t[38] - 2*t[39] - 
       t[40]/2 + t[41] - t[42] - (35*t[43])/12 + (29*t[44])/2 + t[45]/2 + 
       (7*t[46])/2 - (163*t[48])/16 + (127*t[49])/48 + (971*t[50])/48 + 
       (3*t[51])/32 - (1067*t[52])/48 + (65*t[53])/48 - (1529*t[54])/48 + 
       t[59] - (26*t[60])/3 + 193*t[61] - (283*t[62])/3 - 94*t[63] + 
       (555*t[64])/4 - (364*t[65])/3 - (2219*t[66])/18 + 12*t[72] - 
       60*t[73] + 18*t[75] - 8*t[76] - 7*t[77] + 6*t[78] + 12*t[79] + 
       24*t[80] - 6*t[81] + (47*t[82])/3 + 70*t[83] - (305*t[84])/12 - 
       (301*t[85])/12 + (272*t[86])/3 + (505*t[87])/12 + (505*t[88])/24 - 
       (363*t[89])/4 + 6*t[96] + 4*t[97] - 152*t[98] + 160*t[99] - 
       44*t[100] - 4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*((-5*t[1])/2 + (31*t[2])/4 - 
       (677*t[3])/24 - (289*t[4])/24 - (137*t[5])/16 + (463*t[6])/48 + 
       (329*t[7])/24 + (1649*t[8])/24 - (2743*t[9])/48 - (1039*t[10])/16 + 
       (1249*t[11])/48 + (70*t[12])/3 - (847*t[13])/144 - (2153*t[14])/288 + 
       (7651*t[15])/288 - 2*t[24] - 20*t[28] - 3*t[29] - t[30] + 
       (4*t[31])/3 + t[32] - t[33] - 2*t[34] + 6*t[35] - 11*t[36] + 
       10*t[37] + t[38] - 10*t[39] + (21*t[40])/2 + (53*t[43])/12 + 
       (7*t[44])/2 + t[45]/2 + (3*t[46])/2 + (49*t[48])/16 + (49*t[49])/16 - 
       (377*t[50])/48 - t[51]/32 + (281*t[52])/48 + (15*t[53])/16 + 
       (739*t[54])/48 + t[59] - 27*t[60] + (419*t[61])/3 - (17*t[62])/2 - 
       (193*t[63])/2 + (1565*t[64])/12 - (697*t[65])/9 - (559*t[66])/18 + 
       10*t[69] + 2*t[72] - 30*t[73] + 28*t[75] - 8*t[76] - 7*t[77] + 
       6*t[78] - 28*t[79] - 16*t[80] - 6*t[81] + (7*t[82])/3 + 
       (245*t[83])/3 - (115*t[84])/4 - (181*t[85])/12 + (92*t[86])/3 + 
       (665*t[87])/12 + (665*t[88])/24 - (509*t[89])/12 + 6*t[96] + 4*t[97] - 
       152*t[98] + 160*t[99] + 101*t[100] - 4*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (t[1]/2 + (49*t[2])/4 + (89*t[3])/8 - (899*t[4])/24 - (919*t[5])/48 - 
       (405*t[6])/16 - (1307*t[7])/24 - (251*t[8])/24 - (2063*t[9])/48 + 
       (1397*t[10])/48 - (779*t[11])/16 + (33*t[12])/8 - (6271*t[13])/144 - 
       (5615*t[14])/288 - (1129*t[15])/288 + 2*t[20] - 2*t[25] + 2*t[27] - 
       22*t[28] - 5*t[29] + 5*t[30] + 4*t[31] - t[32] + t[33] + 2*t[34] + 
       16*t[35] + 3*t[36] + t[38] - 12*t[39] + (13*t[40])/2 - t[41] + t[42] - 
       (25*t[43])/4 - (21*t[44])/2 + (17*t[45])/2 + (11*t[46])/2 - 18*t[47] - 
       (245*t[48])/16 - (847*t[49])/48 + (127*t[50])/16 + (61*t[51])/32 - 
       (95*t[52])/16 + (559*t[53])/48 + (721*t[54])/48 - 2*t[59] - 
       (455*t[60])/6 - (415*t[61])/6 + (251*t[62])/6 + (131*t[63])/2 + 
       (299*t[64])/6 + (94*t[65])/9 + 83*t[66] - 4*t[68] - 10*t[69] + 
       10*t[72] - 50*t[73] + 30*t[75] - 20*t[76] - 9*t[77] + 26*t[78] + 
       4*t[79] - 44*t[80] - 4*t[81] + 19*t[82] + (217*t[83])/3 - 
       (181*t[84])/12 - (37*t[85])/12 + (2*t[86])/3 + (199*t[87])/4 + 
       (199*t[88])/8 - (257*t[89])/6 - 6*t[96] - 4*t[97] - 184*t[98] + 
       160*t[99] + 207*t[100] - 4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*((13*t[1])/4 - (125*t[2])/8 - 
       (275*t[3])/16 - (191*t[4])/16 - (781*t[5])/32 - (739*t[6])/32 - 
       (101*t[7])/16 + (115*t[8])/16 + (279*t[9])/32 + (297*t[10])/32 + 
       (1003*t[11])/32 + (17*t[12])/8 - (2675*t[13])/288 + (3293*t[14])/192 + 
       (6967*t[15])/576 + 2*t[24] + 2*t[27] - 7*t[28] + t[30] - 7*t[31] + 
       (3*t[32])/2 - (3*t[33])/2 - 7*t[34] + 23*t[35] + (73*t[36])/2 + 
       (3*t[38])/2 + 5*t[39] + (13*t[40])/4 + t[41]/2 - t[42]/2 + 
       (7*t[43])/8 - (17*t[44])/4 + (17*t[45])/4 + (27*t[46])/4 - 7*t[47] + 
       (601*t[48])/32 + (177*t[49])/32 + (181*t[50])/32 - (777*t[51])/64 - 
       (277*t[52])/32 + (15*t[53])/32 - (167*t[54])/32 + 3*t[59] - 
       (87*t[60])/2 + (429*t[61])/4 - (209*t[62])/8 + (11*t[63])/8 + 
       (361*t[64])/8 + (611*t[65])/24 - (163*t[66])/24 - 2*t[68] + 4*t[72] + 
       64*t[73] - 140*t[75] + (41*t[76])/2 - (11*t[77])/2 - (53*t[78])/2 + 
       19*t[79] + 2*t[80] + (49*t[81])/4 - (47*t[82])/4 + 52*t[83] - 
       (19*t[84])/2 - (167*t[85])/8 + (299*t[87])/8 + (299*t[88])/16 - 
       (29*t[89])/4 + (21*t[96])/2 + 6*t[97] + 198*t[98] - 216*t[99] - 
       73*t[100] - 3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((-7*t[1])/4 + (51*t[2])/8 - 
       (147*t[3])/16 + (433*t[4])/16 - (697*t[5])/32 + (165*t[6])/32 - 
       (21*t[7])/16 + (741*t[8])/16 - (609*t[9])/32 + (2461*t[10])/32 - 
       (549*t[11])/32 + (83*t[12])/8 - (1319*t[13])/288 + (651*t[14])/64 + 
       (3799*t[15])/576 + 4*t[26] - t[27]/2 - 10*t[28] - (27*t[29])/2 + 
       (9*t[30])/2 - t[31] + (3*t[32])/2 - (3*t[33])/2 - 3*t[34] - 31*t[35] + 
       (27*t[36])/2 - (5*t[38])/2 + 7*t[39] - (19*t[40])/4 + (3*t[41])/2 - 
       (3*t[42])/2 - (17*t[43])/8 + (111*t[44])/4 - (7*t[45])/4 - 
       (3*t[46])/2 + 5*t[47] - (99*t[48])/32 + (353*t[49])/32 - 
       (399*t[50])/32 - (157*t[51])/64 + (303*t[52])/32 - (161*t[53])/32 + 
       (653*t[54])/32 + 3*t[59] - (87*t[60])/2 + (429*t[61])/4 - 
       (209*t[62])/8 + (11*t[63])/8 + (361*t[64])/8 + (611*t[65])/24 - 
       (163*t[66])/24 - 2*t[68] + 4*t[72] + 64*t[73] - 140*t[75] + 
       (41*t[76])/2 - (11*t[77])/2 - (53*t[78])/2 + 19*t[79] + 2*t[80] + 
       (49*t[81])/4 - (47*t[82])/4 + 52*t[83] - (19*t[84])/2 - 
       (167*t[85])/8 + (299*t[87])/8 + (299*t[88])/16 - (29*t[89])/4 + 
       (21*t[96])/2 + 6*t[97] + 198*t[98] - 216*t[99] - 73*t[100] - 
       3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((5*t[1])/4 - (245*t[2])/8 - (71*t[3])/16 - 
       (2675*t[4])/144 - (5839*t[5])/288 + (333*t[6])/32 + (6721*t[7])/144 + 
       (1429*t[8])/144 + (11041*t[9])/288 - (4255*t[10])/288 - 
       (3331*t[11])/96 + (331*t[12])/48 - (44969*t[13])/864 + 
       (3013*t[14])/1728 + (49723*t[15])/1728 + t[18] - 4*t[19] + 3*t[20] + 
       4*t[21] + t[22] + 2*t[25] - 3*t[27] + t[28] + 20*t[29] + 11*t[30] - 
       t[31] + 16*t[32] - (11*t[33])/2 - 28*t[34] - 2*t[35] + 9*t[36] + 
       4*t[37] + (3*t[38])/2 - (25*t[39])/2 + (59*t[40])/4 - (3*t[41])/2 - 
       t[42]/2 + (35*t[43])/8 + (93*t[44])/4 + (19*t[45])/4 - (7*t[46])/4 - 
       (9*t[47])/2 + (849*t[48])/32 - (4219*t[49])/288 + (1197*t[50])/32 + 
       (1345*t[51])/192 - (1421*t[52])/32 + (4219*t[53])/288 + 
       (5089*t[54])/288 + (49*t[59])/4 - (889*t[60])/18 + (1159*t[61])/18 + 
       (1619*t[62])/36 + (233*t[63])/3 - (3763*t[64])/36 + 
       (15367*t[65])/216 + (17351*t[66])/72 + 2*t[68] - (14*t[69])/3 + 
       3*t[70] - 3*t[71] - 8*t[72] + (63*t[73])/2 - t[74] - (217*t[75])/6 - 
       (9*t[76])/2 + t[77]/2 - 13*t[78] + (23*t[79])/2 + 2*t[80] - 
       (95*t[81])/4 + (13*t[82])/4 - (154*t[83])/9 - (293*t[84])/36 - 
       (307*t[85])/72 - (487*t[86])/18 + (433*t[87])/24 + (1345*t[88])/48 + 
       (2453*t[89])/72 - (5*t[96])/2 + (7*t[97])/2 + 78*t[98] - 174*t[99] + 
       (278*t[100])/3 - 3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*((-39*t[1])/2 - (31*t[2])/8 - 
       (25*t[3])/48 + (77*t[4])/16 + (2531*t[5])/96 + (2143*t[6])/96 - 
       (985*t[7])/48 + (323*t[8])/16 - (5417*t[9])/96 + (6535*t[10])/96 - 
       (10667*t[11])/96 + (737*t[12])/48 - (17339*t[13])/288 + 
       (14771*t[14])/576 + (24775*t[15])/1728 + t[19] - t[20] - t[21] + 
       2*t[22] + t[23] + 3*t[25] + 20*t[26] + t[27]/2 + (5*t[28])/2 - 
       (13*t[29])/6 - (41*t[30])/6 + (26*t[31])/3 - t[32]/2 + t[33]/2 - 
       (5*t[34])/2 + (10*t[35])/3 + (7*t[36])/2 - 5*t[37] - (43*t[38])/2 - 
       (13*t[39])/2 + t[40]/4 + t[41]/4 - t[42]/4 + (23*t[43])/8 + 
       (21*t[44])/4 - (23*t[45])/4 - 7*t[46] + 11*t[47] + (295*t[48])/96 + 
       (1061*t[49])/32 - (1117*t[50])/96 - (2081*t[51])/64 + 
       (1165*t[52])/96 - (1269*t[53])/32 - (401*t[54])/96 + 2*t[58] + 
       (49*t[59])/4 - (283*t[60])/6 + 63*t[61] + 44*t[62] + (279*t[63])/4 - 
       103*t[64] + (5249*t[65])/72 + (17171*t[66])/72 + 2*t[68] - 3*t[69] + 
       3*t[70] - 3*t[71] - (19*t[72])/3 + (199*t[73])/6 - t[74] - 
       (69*t[75])/2 - (9*t[76])/2 + t[77]/2 - 13*t[78] + (59*t[79])/6 + 
       2*t[80] - (95*t[81])/4 + (13*t[82])/4 - (91*t[83])/6 - (91*t[84])/12 - 
       (89*t[85])/24 - (139*t[86])/6 + (353*t[87])/24 + (1265*t[88])/48 + 
       (821*t[89])/24 - (5*t[96])/2 + (7*t[97])/2 + 78*t[98] - 174*t[99] + 
       (187*t[100])/2 - 3*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((44*t[1])/9 + (967*t[2])/72 - 
       (427*t[3])/24 - (21557*t[4])/288 + (447*t[5])/32 + (6625*t[6])/192 - 
       (101*t[7])/24 + (1859*t[8])/36 - (2101*t[9])/144 + (13901*t[10])/576 - 
       (11681*t[11])/192 + (9835*t[12])/576 - (10283*t[13])/162 - 
       (17393*t[14])/1152 + (57673*t[15])/1728 - (17*t[25])/3 + 
       (29*t[26])/6 + t[27]/9 + (79*t[28])/9 - (77*t[29])/18 + 
       (499*t[30])/36 - (76*t[31])/9 - t[32]/2 + (7*t[33])/6 - 
       (31*t[34])/18 - (65*t[35])/3 + (19*t[36])/2 + (14*t[37])/3 + 
       (34*t[38])/9 + (35*t[39])/6 - 4*t[40] + (31*t[41])/36 - 
       (31*t[42])/36 + (29*t[43])/72 - (283*t[44])/72 + (113*t[45])/12 + 
       (61*t[46])/12 - 17*t[47] + (8813*t[48])/576 - (1847*t[49])/192 + 
       (9797*t[50])/576 + (1219*t[51])/384 - (1573*t[52])/576 + 
       (12613*t[53])/576 + (16057*t[54])/576 + (11*t[58])/6 + (31*t[59])/36 - 
       (259*t[60])/2 + (143*t[61])/4 + (3073*t[62])/18 + (4177*t[63])/18 - 
       (5203*t[64])/72 + (7543*t[65])/54 + (23407*t[66])/108 + 4*t[68] + 
       (11*t[69])/3 + (5*t[72])/9 + (67*t[73])/3 - (32*t[74])/3 - 
       (103*t[75])/3 - (341*t[76])/18 + (13*t[77])/18 + (14*t[78])/9 + 
       (92*t[79])/3 - (233*t[80])/9 + (13*t[81])/18 + 27*t[82] - 
       (7*t[83])/2 + (889*t[84])/72 - (2971*t[85])/72 - (1037*t[86])/9 + 
       (4649*t[87])/72 + (4649*t[88])/144 - (509*t[89])/72 + (40*t[95])/3 + 
       (10*t[96])/3 - t[97]/18 - (176*t[98])/3 + (188*t[99])/3 + 
       (14*t[100])/3 + 4*t[101] - 3*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((7*t[1])/6 + (5*t[2])/8 - 
       (1679*t[3])/72 + (1069*t[4])/24 - (1103*t[5])/72 + (1903*t[6])/36 + 
       (271*t[7])/24 + (773*t[8])/24 + (505*t[9])/12 - (2401*t[10])/144 + 
       (479*t[11])/18 - (1859*t[12])/144 + (20171*t[13])/432 + 
       (46607*t[14])/864 + (1285*t[15])/108 + 2*t[16] + 2*t[19] - 2*t[21] + 
       t[22] + 2*t[23] + 5*t[25] - 4*t[26] + t[27] + 4*t[28] + 8*t[30] - 
       (14*t[31])/9 + 2*t[32] - 2*t[33] - t[34] - 4*t[35] + (47*t[36])/6 - 
       t[37]/3 + 3*t[39] - 4*t[40] + (3*t[41])/2 - (3*t[42])/2 + 
       (161*t[43])/36 - 5*t[44] - 8*t[45] - 4*t[46] + 18*t[47] + 
       (53*t[48])/24 + (599*t[49])/144 - (733*t[50])/72 - (47*t[51])/32 + 
       (1093*t[52])/72 - (599*t[53])/144 + (587*t[54])/36 + t[58] - t[59] + 
       (1129*t[60])/18 + (2261*t[61])/12 + (215*t[62])/18 - (731*t[63])/12 + 
       (29*t[64])/2 - 170*t[65] - (49459*t[66])/216 - 2*t[68] + 8*t[69] + 
       4*t[72] + (77*t[73])/2 - 6*t[74] - 24*t[75] + 6*t[76] - (5*t[77])/2 + 
       24*t[78] + (37*t[79])/3 + (29*t[80])/3 - 8*t[81] - (205*t[82])/18 - 
       9*t[83] - (185*t[84])/72 - (661*t[85])/72 - (1985*t[86])/36 - 
       (1391*t[87])/72 - (1391*t[88])/144 - (55*t[89])/6 + 2*t[93] - 
       3*t[97] - 24*t[98] + 44*t[99] - (165*t[100])/2 - 2*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((10*t[1])/3 + (41*t[2])/6 - (901*t[3])/24 + (70*t[4])/3 + 
       (47*t[5])/24 - (139*t[6])/48 - (83*t[7])/8 + (221*t[8])/24 + 
       (467*t[9])/24 + (139*t[10])/6 + (353*t[11])/48 - (163*t[12])/6 - 
       (5105*t[13])/432 + (3097*t[14])/72 + (205*t[15])/36 + t[17] - 
       (10*t[19])/3 + 2*t[20] - 2*t[22] + 8*t[24] - 4*t[26] + (8*t[27])/3 - 
       (10*t[28])/3 - t[29]/6 - (22*t[30])/3 + 16*t[31] - 7*t[32] + 3*t[33] - 
       (7*t[34])/3 + 6*t[36] + (11*t[38])/3 + 3*t[39] + 3*t[40] - 
       (5*t[41])/6 + (5*t[42])/6 - (13*t[43])/8 - (91*t[44])/12 + 34*t[45] + 
       t[46]/2 - 37*t[47] - (119*t[48])/48 + (161*t[49])/24 - 
       (257*t[50])/16 - (73*t[51])/16 + (467*t[52])/48 - (97*t[53])/24 + 
       (313*t[54])/16 + 2*t[57] - t[58] - (5*t[59])/6 + (653*t[60])/6 + 
       (135*t[61])/2 - (159*t[62])/2 + (661*t[63])/12 + (703*t[64])/24 - 
       (1987*t[65])/18 - (5465*t[66])/36 - 5*t[68] - 2*t[69] - (17*t[72])/3 + 
       56*t[73] - 2*t[74] - 38*t[75] + (118*t[76])/3 - (8*t[77])/3 + 
       (34*t[78])/3 + 14*t[79] - (173*t[80])/6 + (4*t[81])/3 - (35*t[82])/6 + 
       18*t[83] + (73*t[84])/6 + (91*t[85])/3 + (571*t[86])/12 - 
       (345*t[87])/4 - (345*t[88])/8 - (38*t[89])/3 + 4*t[96] + 
       (11*t[97])/3 + 60*t[98] - 56*t[99] - (155*t[100])/2 - 2*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-9*t[1] - (41*t[2])/4 + (59*t[3])/24 + (305*t[4])/4 - (827*t[5])/12 - 
       (385*t[6])/12 + 65*t[7] - 101*t[8] + (433*t[9])/4 - (1741*t[10])/24 + 
       (443*t[11])/12 + (535*t[12])/24 + (2225*t[13])/72 + (2309*t[14])/144 - 
       (7907*t[15])/144 + 2*t[16] + 2*t[19] + 7*t[25] - 3*t[26] - t[27] - 
       6*t[28] - (25*t[29])/2 + (23*t[30])/2 + (29*t[31])/3 + (5*t[32])/2 - 
       (5*t[33])/2 + 3*t[34] + 24*t[35] - t[36] + 4*t[37] - 4*t[38] - 
       (5*t[39])/2 + t[40] + t[41] - t[42] - (53*t[43])/3 + (41*t[44])/2 - 
       (17*t[45])/2 - 9*t[46] + 19*t[47] - 25*t[48] + (599*t[49])/24 + 
       (73*t[50])/6 - (159*t[51])/16 - (73*t[52])/6 - (647*t[53])/24 - 
       (131*t[54])/3 - t[59] + (2183*t[60])/24 + (277*t[61])/8 - 
       (3385*t[62])/48 + (711*t[63])/16 + (519*t[64])/16 - (825*t[65])/8 - 
       (10385*t[66])/72 - 5*t[68] - 4*t[69] - 5*t[72] + 50*t[73] - 2*t[74] - 
       36*t[75] + 25*t[76] - 6*t[77] + 26*t[78] + 16*t[79] - (59*t[80])/2 - 
       4*t[81] - (17*t[82])/6 + 21*t[83] + (491*t[84])/24 + (655*t[85])/24 + 
       (755*t[86])/12 - (1663*t[87])/24 - (1663*t[88])/48 - (333*t[89])/16 - 
       32*t[98] + 36*t[99] - (127*t[100])/2 - 2*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (4*t[1] - (349*t[2])/24 - (2221*t[3])/72 + (142*t[4])/3 - 
       (2657*t[5])/144 + (2729*t[6])/144 - (1517*t[7])/24 + (283*t[8])/24 - 
       (943*t[9])/48 + (1397*t[10])/72 + (7535*t[11])/144 - 
       (2725*t[12])/144 + (7477*t[13])/144 + (2923*t[14])/54 + 
       (1279*t[15])/96 + t[17] + (2*t[19])/3 - 10*t[20] - 4*t[21] + 8*t[22] + 
       4*t[23] + 4*t[24] - (2*t[27])/3 + 4*t[28] - (13*t[29])/6 - 14*t[30] + 
       (68*t[31])/9 - (5*t[32])/3 + (11*t[33])/3 - (28*t[34])/3 - 4*t[35] + 
       (5*t[36])/3 - (7*t[37])/3 + (5*t[38])/3 + (17*t[39])/3 + 3*t[40] - 
       (4*t[41])/3 + (4*t[42])/3 + (83*t[43])/72 + (19*t[44])/12 + 35*t[45] - 
       t[46]/2 - (92*t[47])/3 + (103*t[48])/48 - (143*t[49])/36 - 
       (1879*t[50])/144 - (59*t[51])/24 + (1111*t[52])/144 + (95*t[53])/36 + 
       (31*t[54])/144 + 2*t[57] - (17*t[59])/6 - (457*t[60])/72 + 
       (781*t[61])/8 + (13499*t[62])/144 - (605*t[63])/48 - (473*t[64])/48 - 
       (9005*t[65])/72 - (7217*t[66])/54 - 3*t[68] - 4*t[69] + (11*t[72])/3 + 
       (193*t[73])/6 + 12*t[74] - 40*t[75] + (124*t[76])/3 + t[77]/3 - 
       (68*t[78])/3 + 3*t[79] + (17*t[80])/6 + (10*t[81])/3 - 
       (167*t[82])/18 + 12*t[83] + (131*t[84])/72 + (1219*t[85])/72 - 
       (3481*t[86])/36 + (305*t[87])/72 + (305*t[88])/144 - (1693*t[89])/48 - 
       2*t[93] - 2*t[96] - (13*t[97])/3 + 56*t[98] - 132*t[99] - 
       (215*t[100])/6 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      (-t[1]/4 + (553*t[2])/24 + (2279*t[3])/144 - (145*t[4])/48 + 
       (10297*t[5])/288 + (559*t[6])/36 - (11039*t[7])/144 + (85*t[8])/144 - 
       (3515*t[9])/96 - (1031*t[10])/32 - (529*t[11])/72 - (1367*t[12])/144 + 
       (29501*t[13])/864 - (38165*t[14])/1728 + (17597*t[15])/1728 + 
       4*t[19] - 5*t[20] - 4*t[21] + 5*t[22] + 4*t[23] - 2*t[25] - t[26] - 
       (16*t[27])/3 + (179*t[28])/18 + (437*t[29])/36 - (47*t[30])/9 - 
       (58*t[31])/9 - (41*t[32])/6 + (41*t[33])/6 + t[34]/3 - (19*t[35])/3 + 
       (5*t[36])/3 - (26*t[37])/3 + (5*t[38])/6 - (41*t[39])/12 + 
       (11*t[40])/4 - (2*t[41])/3 + (2*t[42])/3 + (175*t[43])/36 - 
       (55*t[44])/18 - (23*t[45])/2 + (5*t[46])/4 + (67*t[47])/6 + 
       (63*t[48])/16 - (4111*t[49])/288 - (817*t[50])/48 + (821*t[51])/192 + 
       (689*t[52])/48 + (2767*t[53])/288 + (125*t[54])/12 - t[58] - 
       (47*t[59])/12 - (5071*t[60])/144 - (8923*t[61])/144 + 
       (39461*t[62])/288 - (583*t[63])/96 - (20039*t[64])/288 + 
       (10673*t[65])/432 + (95*t[66])/432 + 3*t[68] - t[69] - t[72] + 
       (57*t[73])/2 + 8*t[74] - (181*t[75])/6 - (10*t[76])/3 + t[77]/6 + 
       (49*t[78])/6 + (163*t[79])/6 + (89*t[80])/3 - (23*t[81])/6 + 
       (71*t[82])/9 + (2*t[83])/9 + (557*t[84])/144 + (295*t[85])/48 - 
       (157*t[86])/3 + (1081*t[87])/144 + (1081*t[88])/288 - 
       (6289*t[89])/288 - (17*t[96])/2 - (20*t[97])/3 - 14*t[98] + 2*t[99] - 
       (161*t[100])/6 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(t[1]/2 + (21*t[2])/4 - 
       (457*t[3])/72 + (9*t[4])/4 - (3025*t[5])/288 - (17*t[6])/72 - 
       (1187*t[7])/144 + (2317*t[8])/144 - (2777*t[9])/96 - 
       (2755*t[10])/144 + (2561*t[11])/144 + (1309*t[12])/288 + 
       (7309*t[13])/432 + (1171*t[14])/864 + (10081*t[15])/576 + 
       (2*t[25])/3 - (2*t[26])/3 + (61*t[28])/36 + (55*t[29])/18 + 
       (16*t[30])/9 - t[31]/6 + 2*t[32] - 2*t[33] - (17*t[35])/3 + t[36] - 
       t[37] + (13*t[43])/12 - (95*t[44])/36 + (5*t[45])/2 + (19*t[46])/6 - 
       5*t[47] - (10*t[48])/3 - (217*t[49])/24 + (181*t[50])/36 + 
       (145*t[51])/48 - (181*t[52])/36 + (217*t[53])/24 + (29*t[54])/9 - 
       t[59]/2 - (211*t[60])/72 + (2351*t[61])/36 + (755*t[62])/36 - 
       (527*t[63])/12 + (5263*t[64])/72 - (1481*t[65])/54 - (268*t[66])/9 - 
       t[68] - 4*t[69] + t[70] - t[71] + (19*t[72])/6 + (67*t[73])/12 - 
       2*t[74] - (35*t[75])/12 - 5*t[76] - (5*t[77])/2 + 2*t[78] - 
       (139*t[79])/12 + t[80] - 2*t[81] - (11*t[82])/6 + (641*t[83])/36 - 
       (143*t[84])/36 - (11*t[85])/36 - (425*t[86])/36 + (44*t[87])/3 + 
       (22*t[88])/3 - (1021*t[89])/72 - 18*t[98] + 8*t[99] - (23*t[100])/6 - 
       2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v]*((-11*t[2])/4 + (16*t[3])/3 + (14*t[4])/9 - 
       (929*t[5])/288 + t[6]/6 + (233*t[7])/144 - (55*t[8])/144 - 
       (2575*t[9])/288 - (3625*t[10])/144 - (3*t[11])/16 - (29*t[12])/96 + 
       (181*t[13])/27 - (4229*t[14])/864 - (14065*t[15])/1728 - t[24] + 
       t[27] - t[28] - t[29] - 2*t[30] + (5*t[31])/3 + 9*t[35] + 
       (19*t[36])/12 + t[37] - (7*t[39])/2 + (5*t[40])/2 + t[41]/2 - 
       t[42]/2 + (4*t[43])/3 - (5*t[44])/2 - 3*t[45] - 4*t[46] + 7*t[47] - 
       (9*t[48])/4 - (55*t[49])/36 - (67*t[50])/12 + (155*t[51])/48 + 
       (67*t[52])/12 + (55*t[53])/36 + (49*t[54])/9 + t[59]/2 + 
       (55*t[60])/72 + (2059*t[61])/36 + (353*t[62])/18 - (331*t[63])/6 + 
       (5285*t[64])/72 - (2711*t[65])/108 - (1039*t[66])/36 - t[68] + 
       (5*t[69])/6 + 6*t[72] + (113*t[73])/12 - 3*t[74] + (11*t[75])/12 - 
       5*t[76] - (5*t[77])/2 + 2*t[78] - (185*t[79])/12 + t[80] - 
       (5*t[81])/2 - (4*t[82])/3 + (383*t[83])/18 - (109*t[84])/36 + 
       (14*t[85])/9 - (103*t[86])/36 + (101*t[87])/12 + (101*t[88])/24 - 
       (1019*t[89])/72 - 18*t[98] + 8*t[99] - (5*t[100])/12 - 2*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-7*t[1])/6 - (79*t[2])/8 - (493*t[3])/24 + (877*t[4])/12 + 
       (1601*t[5])/48 + (271*t[6])/16 - (1007*t[7])/24 - (379*t[8])/24 - 
       (1061*t[9])/16 - (563*t[10])/24 + (3641*t[11])/48 - (69*t[12])/16 + 
       (6373*t[13])/108 - (283*t[14])/36 + (4085*t[15])/288 + 3*t[17] - 
       (2*t[19])/3 + 20*t[20] - 2*t[21] - 21*t[22] + 2*t[23] + 2*t[24] - 
       4*t[27] + 2*t[28] - t[29]/2 + 2*t[30] + (32*t[31])/3 - t[32] + 
       7*t[33] - 14*t[34] + 6*t[35] + 6*t[36] + (25*t[37])/3 + 4*t[38] - 
       7*t[39] + 11*t[40] + t[41]/2 - t[42]/2 + (209*t[43])/24 + t[44]/4 + 
       36*t[45] - (3*t[46])/2 - 35*t[47] + (431*t[48])/48 - (5*t[49])/12 - 
       (39*t[50])/16 + (61*t[51])/24 - (153*t[52])/16 + (5*t[53])/12 - 
       (105*t[54])/16 - 2*t[56] - 2*t[57] - t[59] + (128*t[60])/3 + 
       (1919*t[61])/12 + 70*t[62] - (389*t[63])/12 + (41*t[64])/12 - 
       (1340*t[65])/9 - (11597*t[66])/72 - 2*t[68] + 8*t[69] - (26*t[72])/3 + 
       (307*t[73])/6 - 6*t[74] - 24*t[75] + 6*t[76] - (5*t[77])/2 + 
       24*t[78] - (20*t[79])/3 - (47*t[80])/3 - 8*t[81] - (119*t[82])/6 - 
       9*t[83] - (163*t[84])/24 - (119*t[85])/24 - (1295*t[86])/12 + 
       (43*t[87])/24 + (43*t[88])/48 + (251*t[89])/12 + 2*t[93] - 3*t[97] - 
       24*t[98] + 44*t[99] + (37*t[100])/6 - 2*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-65*t[1])/12 + (559*t[2])/24 + (13*t[3])/48 + 
       (31*t[4])/12 + (421*t[5])/96 + (725*t[6])/96 - (1919*t[7])/48 + 
       (685*t[8])/48 - (977*t[9])/32 - (337*t[10])/48 - (1823*t[11])/32 - 
       (99*t[12])/32 + (1487*t[13])/864 - (1001*t[14])/18 + 
       (4555*t[15])/192 + t[20] + t[25] - t[26] + (10*t[27])/3 + 
       (26*t[28])/3 - (7*t[29])/6 + (7*t[30])/6 + (17*t[31])/3 - 
       (3*t[32])/2 + (3*t[33])/2 + (10*t[34])/3 - 6*t[35] - (19*t[36])/6 + 
       (5*t[37])/3 - (5*t[38])/3 + (3*t[39])/2 - (19*t[40])/4 - (8*t[41])/3 + 
       (8*t[42])/3 - (37*t[43])/24 - (91*t[44])/12 + (11*t[45])/4 + 
       (17*t[46])/4 - 8*t[47] + (155*t[48])/32 - (371*t[49])/24 + 
       (1165*t[50])/96 + (79*t[51])/12 - (845*t[52])/96 + (211*t[53])/24 + 
       (185*t[54])/32 - (47*t[59])/12 - (671*t[60])/16 - (3913*t[61])/48 + 
       (16175*t[62])/96 - (671*t[63])/96 - (6973*t[64])/96 + 
       (5875*t[65])/144 + (4901*t[66])/144 + 3*t[68] + (8*t[69])/3 - 
       (14*t[72])/3 + (79*t[73])/2 + 8*t[74] - (53*t[75])/2 - (10*t[76])/3 + 
       t[77]/6 + (49*t[78])/6 + (25*t[79])/2 + 15*t[80] - (23*t[81])/6 + 
       3*t[82] + (9*t[83])/2 + (127*t[84])/48 + (157*t[85])/16 - 
       (223*t[86])/3 + (595*t[87])/48 + (595*t[88])/96 - (395*t[89])/96 - 
       (17*t[96])/2 - (20*t[97])/3 - 14*t[98] + 2*t[99] + (79*t[100])/3 - 
       2*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-31*t[1])/6 + (81*t[2])/8 + (167*t[3])/36 + 
       (107*t[4])/12 - (937*t[5])/144 + (371*t[6])/72 + (25*t[7])/4 - 
       (983*t[8])/12 - (313*t[9])/16 - (623*t[10])/18 - (391*t[11])/72 - 
       (1409*t[12])/144 - (187*t[13])/216 - (14963*t[14])/432 + 
       (5537*t[15])/864 - 5*t[25] + 6*t[26] - t[27] - 6*t[29] - 4*t[30] + 
       (61*t[31])/9 + 2*t[34] - 4*t[35] - (13*t[36])/6 + (13*t[37])/3 - 
       2*t[38] + t[39] - 3*t[40] - t[41] + t[42] + (43*t[43])/18 + 17*t[44] + 
       2*t[45] - (11*t[46])/2 - 4*t[47] - (281*t[48])/24 + (17*t[49])/9 + 
       (1481*t[50])/72 + (67*t[51])/24 - (1337*t[52])/72 - (97*t[53])/18 - 
       (1595*t[54])/72 - 3*t[59] - (797*t[60])/18 + (145*t[61])/4 + 
       (1447*t[62])/9 + (21*t[63])/4 - (427*t[64])/24 - (3481*t[65])/36 - 
       (12565*t[66])/216 - 3*t[68] - 6*t[69] - (25*t[72])/3 + (233*t[73])/6 + 
       12*t[74] - 38*t[75] + 27*t[76] - 3*t[77] - 8*t[78] - 14*t[79] - 
       (139*t[80])/6 - 2*t[81] - (265*t[82])/18 + 15*t[83] + (53*t[84])/9 + 
       (163*t[85])/9 - (4829*t[86])/36 + (1523*t[87])/36 + (1523*t[88])/72 - 
       (40*t[89])/3 - 2*t[93] - 6*t[96] - 8*t[97] - 36*t[98] - 40*t[99] + 
       (401*t[100])/6 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-41*t[1])/12 + (407*t[2])/24 + (565*t[3])/144 + (911*t[4])/36 - 
       (1367*t[5])/96 + (1007*t[6])/144 - (1453*t[7])/48 - (2629*t[8])/48 + 
       (7445*t[9])/288 + (5827*t[10])/144 - (6079*t[11])/144 - 
       (1967*t[12])/288 - (2081*t[13])/288 + (6095*t[14])/864 + 
       (8557*t[15])/1728 - t[24] - t[25] + 2*t[26] - 3*t[27] + 
       (155*t[28])/18 - (151*t[29])/36 - (14*t[30])/9 + (25*t[31])/3 - 
       (23*t[32])/6 + (23*t[33])/6 + (8*t[34])/3 - (11*t[35])/3 - 
       (5*t[36])/3 - 2*t[37] - (7*t[38])/3 + (97*t[39])/12 - (43*t[40])/4 - 
       (7*t[41])/3 + (7*t[42])/3 - (67*t[43])/24 - (19*t[44])/18 + 
       (25*t[45])/4 + (21*t[46])/4 - (49*t[47])/3 - (193*t[48])/24 + 
       (29*t[49])/9 + (149*t[50])/18 - (65*t[51])/48 - (101*t[52])/18 - 
       (77*t[53])/9 + (73*t[54])/24 + t[59]/6 + (1085*t[60])/24 - 
       (983*t[61])/24 + (2241*t[62])/16 + (1069*t[63])/48 - 
       (12721*t[64])/48 - (209*t[65])/72 + (631*t[66])/24 - 2*t[68] - 
       (11*t[69])/3 - 3*t[72] + 14*t[73] + 12*t[74] - 18*t[75] - 
       (68*t[76])/3 + (5*t[77])/6 + (166*t[78])/3 + 15*t[79] - (64*t[80])/3 + 
       (88*t[81])/3 - (49*t[82])/6 - (47*t[83])/6 + (347*t[84])/12 + 
       (149*t[85])/12 - (280*t[86])/3 - (395*t[87])/6 - (395*t[88])/12 - 
       (413*t[89])/16 - 8*t[96] - (16*t[97])/3 - 104*t[98] + 80*t[99] + 
       (183*t[100])/2 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*((19*t[1])/24 - (571*t[2])/48 + (4871*t[3])/96 + 
       (581*t[4])/32 + (1549*t[5])/192 - (11777*t[6])/192 + (3965*t[7])/96 - 
       (3681*t[8])/32 - (887*t[9])/192 - (8129*t[10])/192 + 
       (18185*t[11])/192 + (1399*t[12])/48 + (78815*t[13])/1728 - 
       (35173*t[14])/1152 - (30767*t[15])/3456 + 3*t[18] + 2*t[20] - 
       3*t[22] + (2*t[27])/3 - (5*t[28])/2 - (17*t[29])/6 + 14*t[30] - 
       (5*t[31])/6 - (157*t[32])/12 - (89*t[33])/12 - (31*t[34])/6 - 
       (9*t[35])/2 + (31*t[36])/4 - 2*t[37] + (19*t[38])/12 + (61*t[39])/12 + 
       (3*t[40])/8 + (7*t[41])/12 - (7*t[42])/12 + (133*t[43])/48 + 
       (703*t[44])/24 - (31*t[45])/8 + (9*t[46])/8 + (79*t[47])/6 - 
       (3079*t[48])/64 - (1673*t[49])/192 + (1247*t[50])/192 + 
       (985*t[51])/384 - (3391*t[52])/192 + (963*t[53])/64 - 
       (3135*t[54])/64 - t[59]/6 - (45*t[60])/8 + (155*t[61])/2 - 
       (857*t[62])/24 + (98*t[63])/3 + (235*t[64])/3 - (8383*t[65])/144 - 
       (12749*t[66])/144 + 2*t[68] - 3*t[69] - 7*t[70] + 7*t[71] - 
       (22*t[72])/3 + 18*t[73] - 9*t[74] - 17*t[75] + (311*t[76])/12 - 
       t[77]/12 - (403*t[78])/12 + 6*t[79] + (55*t[80])/3 + (241*t[81])/24 + 
       (23*t[82])/8 - (21*t[83])/2 - (70*t[84])/3 - (803*t[85])/48 + 
       (71*t[86])/6 - (269*t[87])/48 - (2189*t[88])/96 - (1645*t[89])/48 + 
       10*t[95] + (61*t[96])/4 + (7*t[97])/3 + 163*t[98] - 162*t[99] - 
       (413*t[100])/4 - (3*t[102])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*((127*t[1])/24 + (17*t[2])/48 - (391*t[3])/32 - 
       (1925*t[4])/96 + (2179*t[5])/64 + (1833*t[6])/64 + (311*t[7])/32 + 
       (9955*t[8])/96 - (2911*t[9])/192 - (6241*t[10])/192 - (161*t[11])/64 - 
       (17*t[12])/12 - (25009*t[13])/1728 + (16945*t[14])/384 - 
       (1925*t[15])/1152 - 2*t[25] + t[26] + t[27]/12 + (11*t[28])/6 - 
       (7*t[29])/12 - (23*t[30])/12 - (35*t[31])/6 - t[32]/4 + t[33]/4 - 
       (19*t[34])/6 + (11*t[35])/2 + (35*t[36])/4 + 8*t[37] + (31*t[38])/12 + 
       (3*t[39])/2 + t[40]/8 + (13*t[41])/12 - (13*t[42])/12 + 
       (133*t[43])/48 - (91*t[44])/24 - (31*t[45])/8 - (47*t[46])/4 + 
       (15*t[47])/2 + (6899*t[48])/192 + (2209*t[49])/64 - (5041*t[50])/192 - 
       (301*t[51])/128 + (5969*t[52])/192 - (2819*t[53])/192 + 
       (6427*t[54])/192 - t[59]/6 - (45*t[60])/8 + (155*t[61])/2 - 
       (857*t[62])/24 + (98*t[63])/3 + (235*t[64])/3 - (8383*t[65])/144 - 
       (12749*t[66])/144 + 2*t[68] - 3*t[69] - 7*t[70] + 7*t[71] - 
       (22*t[72])/3 + 18*t[73] - 9*t[74] - 17*t[75] + (311*t[76])/12 - 
       t[77]/12 - (403*t[78])/12 + 6*t[79] + (55*t[80])/3 + (241*t[81])/24 + 
       (23*t[82])/8 - (21*t[83])/2 - (70*t[84])/3 - (803*t[85])/48 + 
       (71*t[86])/6 - (269*t[87])/48 - (2189*t[88])/96 - (1645*t[89])/48 + 
       10*t[95] + (61*t[96])/4 + (7*t[97])/3 + 163*t[98] - 162*t[99] - 
       (413*t[100])/4 - (3*t[102])/2) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*(-6*t[1] + 2*t[2] - (31*t[3])/8 + 
       (289*t[4])/32 + (217*t[5])/8 - (559*t[6])/16 + (159*t[7])/16 - 
       (575*t[8])/16 + (11*t[9])/8 - (583*t[10])/64 + (41*t[11])/2 + 
       (2049*t[12])/64 + (5957*t[13])/144 + (1393*t[14])/384 + 
       (10967*t[15])/576 - (3*t[16])/8 - t[20] + 2*t[22] + 3*t[25] - 
       (17*t[26])/4 + (15*t[27])/2 - t[28] - (7*t[29])/2 - (5*t[30])/2 - 
       (3*t[31])/2 - (11*t[32])/4 + (7*t[33])/4 + (41*t[34])/4 - 4*t[35] + 
       (11*t[37])/2 + t[38]/2 - (15*t[39])/4 + (25*t[40])/4 - (9*t[41])/8 + 
       (9*t[42])/8 - (9*t[43])/8 + (7*t[44])/2 - (141*t[45])/16 + 
       (57*t[46])/8 + (39*t[47])/8 - (115*t[48])/8 - (913*t[49])/64 - 
       (61*t[50])/8 + (1027*t[51])/128 + (11*t[52])/8 + (865*t[53])/64 + 
       (73*t[54])/32 - (9*t[58])/4 - (19*t[59])/8 + (1387*t[60])/32 - 
       (1113*t[61])/32 + (3409*t[62])/64 - (801*t[63])/64 + (3519*t[64])/64 + 
       (1871*t[65])/96 - (1791*t[66])/32 + (17*t[68])/8 + 2*t[69] + 
       20*t[72] + 10*t[73] - t[74] + 32*t[75] + (111*t[76])/4 - (9*t[77])/2 - 
       (141*t[78])/8 - 5*t[79] + 31*t[80] + (125*t[81])/8 + (5*t[82])/2 - 
       (77*t[83])/2 + (387*t[84])/32 + (939*t[85])/32 - (179*t[86])/8 - 
       (2667*t[87])/32 - (2667*t[88])/64 - (425*t[89])/64 + (9*t[90])/8 - 
       t[91]/24 + (5*t[93])/2 + (13*t[97])/4 + 99*t[98] - 108*t[99] - 
       (89*t[100])/2 - (3*t[102])/2) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((-5*t[1])/8 - (265*t[2])/16 + 
       (111*t[3])/32 - (57*t[4])/8 + (591*t[5])/32 + (1751*t[6])/64 - 
       (1115*t[7])/32 + (911*t[8])/32 + (627*t[9])/32 - (1281*t[10])/32 - 
       (1301*t[11])/64 - (201*t[12])/32 + (5839*t[13])/576 + 
       (511*t[14])/192 - (7045*t[15])/288 + (7*t[19])/2 + (45*t[20])/2 - 
       (7*t[21])/2 - t[22]/4 + (13*t[23])/4 + (5*t[24])/2 - 3*t[25] - t[26] - 
       2*t[27] + 30*t[28] - (13*t[29])/8 - (111*t[30])/4 - (5*t[31])/2 - 
       (17*t[32])/2 + (21*t[33])/2 + (57*t[34])/2 + 13*t[35] - (3*t[36])/4 + 
       t[37]/2 - (3*t[38])/2 + 7*t[39] - (29*t[40])/4 - (29*t[41])/8 + 
       (15*t[42])/4 + (45*t[43])/32 - (291*t[44])/16 - 7*t[45] - 
       (21*t[46])/8 + (37*t[47])/4 + (1191*t[48])/64 + (73*t[49])/8 - 
       (1165*t[50])/64 - (197*t[51])/32 + (1661*t[52])/64 - (73*t[53])/8 + 
       (1101*t[54])/64 - t[57]/2 - t[58] - (19*t[59])/8 + (1387*t[60])/32 - 
       (1113*t[61])/32 + (3409*t[62])/64 - (801*t[63])/64 + (3519*t[64])/64 + 
       (1871*t[65])/96 - (1791*t[66])/32 + (17*t[68])/8 + 2*t[69] + 
       20*t[72] + 10*t[73] - t[74] + 32*t[75] + (111*t[76])/4 - (9*t[77])/2 - 
       (141*t[78])/8 - 5*t[79] + 31*t[80] + (125*t[81])/8 + (5*t[82])/2 - 
       (77*t[83])/2 + (387*t[84])/32 + (939*t[85])/32 - (179*t[86])/8 - 
       (2667*t[87])/32 - (2667*t[88])/64 - (425*t[89])/64 + (9*t[90])/8 - 
       t[91]/24 + (5*t[93])/2 + (13*t[97])/4 + 99*t[98] - 108*t[99] - 
       (89*t[100])/2 - (3*t[102])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((205*t[1])/24 - (469*t[2])/48 + (3965*t[3])/96 + 
       (5797*t[4])/192 + (641*t[5])/96 - (341*t[6])/192 - (4315*t[7])/96 - 
       (2351*t[8])/32 - (4553*t[9])/96 - (17317*t[10])/384 - 
       (4259*t[11])/64 - (15481*t[12])/384 - (16099*t[13])/432 - 
       (193331*t[14])/2304 - (169559*t[15])/3456 + t[17]/4 - 2*t[18] + 
       (5*t[19])/2 - (79*t[20])/6 + (5*t[21])/2 + 2*t[22] - (11*t[23])/4 + 
       (20*t[24])/3 - 4*t[25] + (3*t[26])/2 + (19*t[27])/6 + (8*t[28])/3 + 
       (131*t[29])/24 - (10*t[30])/3 - (2*t[31])/3 + (7*t[32])/2 + t[33]/3 - 
       (29*t[34])/3 + (7*t[35])/6 + (11*t[36])/3 + (7*t[37])/6 + 
       (11*t[38])/4 + (53*t[39])/12 - (13*t[40])/6 - t[41]/24 - 
       (7*t[42])/12 - (383*t[43])/96 + (275*t[44])/48 + t[45]/8 - 
       (3*t[46])/2 + (7*t[47])/2 + (1481*t[48])/64 + (31*t[49])/128 - 
       (1643*t[50])/64 - (1625*t[51])/768 + (5425*t[52])/192 + 
       (547*t[53])/384 + (101*t[54])/8 + t[56]/2 + (3*t[57])/2 - 
       (2*t[58])/3 + (14*t[59])/3 - (4015*t[60])/64 - (12377*t[61])/192 + 
       (26171*t[62])/384 + (4949*t[63])/384 + (34183*t[64])/384 - 
       (3635*t[65])/192 + (59353*t[66])/576 - (7*t[68])/8 - 2*t[69] + 
       2*t[70] - 2*t[71] - (55*t[72])/6 + (263*t[73])/12 + (67*t[74])/6 - 
       (73*t[75])/4 + (227*t[76])/12 + (55*t[77])/6 - (853*t[78])/24 + 
       (37*t[79])/6 - 13*t[80] - (47*t[81])/24 - (13*t[82])/24 - 
       (437*t[83])/12 - (1861*t[84])/192 + (965*t[85])/64 - (1537*t[86])/24 + 
       (1701*t[87])/64 + (1797*t[88])/128 + (5989*t[89])/384 - (3*t[90])/8 - 
       t[91]/24 - (3*t[93])/2 + (5*t[96])/2 + (4*t[97])/3 + 114*t[98] - 
       192*t[99] + (207*t[100])/4 - (3*t[102])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-367*t[1])/72 - (121*t[2])/72 - (3553*t[3])/288 - (19205*t[4])/288 + 
       (4355*t[5])/96 + (3631*t[6])/1152 - (7781*t[7])/288 + 
       (16045*t[8])/288 - (43081*t[9])/576 + (15553*t[10])/192 + 
       (265*t[11])/1152 + (7895*t[12])/576 - (7075*t[13])/648 + 
       (1861*t[14])/216 + (346889*t[15])/10368 - (3*t[16])/8 - (3*t[18])/2 + 
       t[19]/2 - 2*t[20] - (7*t[21])/2 + 10*t[22] + (7*t[23])/2 - t[24] + 
       (7*t[25])/18 + (175*t[26])/36 + (52*t[27])/9 - t[28] - (11*t[29])/9 - 
       (65*t[30])/24 - (7*t[31])/18 + (19*t[32])/36 - (37*t[33])/36 - 
       (149*t[34])/18 - 3*t[35] - (83*t[36])/12 - (31*t[37])/6 - 
       (31*t[38])/36 + (17*t[39])/9 + (65*t[40])/24 + (79*t[41])/18 - 
       (115*t[42])/18 + (1109*t[43])/144 + (649*t[44])/144 + (325*t[45])/16 + 
       (751*t[46])/72 - (2527*t[47])/72 - (2089*t[48])/384 - 
       (7343*t[49])/576 - (2219*t[50])/1152 - (8447*t[51])/1152 + 
       (19*t[52])/128 + (7807*t[53])/576 - (1223*t[54])/384 - (3*t[58])/4 + 
       (271*t[59])/72 - (40385*t[60])/576 - (14087*t[61])/192 + 
       (82543*t[62])/1152 + (2539*t[63])/384 + (106259*t[64])/1152 - 
       (26525*t[65])/1728 + (176069*t[66])/1728 - (7*t[68])/8 - (9*t[69])/2 + 
       (17*t[70])/6 - (17*t[71])/6 - (80*t[72])/9 + (223*t[73])/12 + 
       12*t[74] - (73*t[75])/4 + (233*t[76])/18 + (70*t[77])/9 - 
       (2119*t[78])/72 + (47*t[79])/6 - (239*t[80])/18 - (271*t[81])/72 + 
       (7*t[82])/24 - (1271*t[83])/36 - (3593*t[84])/576 + (835*t[85])/64 - 
       (4291*t[86])/72 + (6553*t[87])/192 + (6841*t[88])/384 + 
       (14257*t[89])/1152 - (3*t[90])/8 - t[91]/24 - (3*t[93])/2 + 
       (5*t[96])/6 - (7*t[97])/36 + (227*t[98])/3 - (461*t[99])/3 + 
       (671*t[100])/12 - (3*t[102])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((-19*t[1])/6 + (743*t[2])/48 + (571*t[3])/96 - 
       (145*t[4])/96 - (295*t[5])/192 - (137*t[6])/24 - (5473*t[7])/96 - 
       (783*t[8])/32 - (6589*t[9])/192 - (1165*t[10])/192 - (1087*t[11])/24 - 
       (67*t[12])/3 - (7813*t[13])/1728 - (66227*t[14])/1152 + 
       (11527*t[15])/3456 + t[17]/12 - t[24]/6 - t[26] + 3*t[27] - 
       (23*t[28])/6 - (49*t[29])/24 + (43*t[30])/6 - (11*t[31])/6 - 
       (59*t[32])/12 + (17*t[33])/4 + (55*t[34])/12 - (25*t[35])/2 - 
       (3*t[36])/4 + t[37] - t[38] - (69*t[39])/8 + (61*t[40])/24 - 
       (55*t[41])/24 + (55*t[42])/24 - (35*t[43])/48 + (5*t[44])/12 + 
       (15*t[45])/8 + (35*t[46])/8 - (77*t[47])/12 - (1057*t[48])/96 - 
       (2141*t[49])/192 + (1697*t[50])/96 + (1229*t[51])/384 - 
       (419*t[52])/32 + (125*t[53])/192 + (29*t[54])/16 - t[55]/12 - 
       (29*t[59])/12 + (205*t[60])/32 - (12353*t[61])/96 + 
       (21011*t[62])/192 + (2845*t[63])/192 - (3545*t[64])/192 + 
       (2207*t[65])/288 + (16813*t[66])/288 - (7*t[68])/6 + t[69] + 
       (2*t[72])/3 + (11*t[73])/2 + 5*t[74] - (29*t[75])/2 - (89*t[76])/3 - 
       (55*t[77])/12 + (146*t[78])/3 + (15*t[79])/2 - (38*t[80])/3 + 
       (57*t[81])/4 + (53*t[82])/12 + (43*t[83])/2 + (2389*t[84])/96 + 
       (703*t[85])/32 - (71*t[86])/3 + (289*t[87])/96 + (257*t[88])/192 - 
       (629*t[89])/64 - (44*t[96])/3 - (28*t[97])/3 - 128*t[98] + 119*t[99] + 
       (499*t[100])/4 - 3*t[101] - (3*t[102])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((-31*t[1])/6 + (637*t[2])/48 + (57*t[3])/32 - (197*t[4])/6 - 
       (2675*t[5])/192 + (947*t[6])/192 - (2203*t[7])/96 - (6019*t[8])/96 + 
       (5225*t[9])/192 - (1061*t[10])/96 - (11491*t[11])/192 + 
       (605*t[12])/64 - (7373*t[13])/576 - (1823*t[14])/96 - 
       (27061*t[15])/3456 + t[16]/12 + (2*t[19])/3 + (3*t[26])/2 - 
       (2*t[27])/3 + (53*t[28])/6 - 9*t[29] - (11*t[30])/12 - (5*t[31])/2 - 
       (59*t[32])/12 + (53*t[33])/12 + (71*t[34])/12 - (3*t[35])/2 + 
       (11*t[36])/12 + t[37]/2 - (10*t[38])/3 + (8*t[39])/3 - (57*t[40])/8 - 
       (59*t[41])/24 + (59*t[42])/24 - (33*t[43])/16 - (5*t[44])/24 - 
       t[45]/8 + (79*t[46])/24 - (35*t[47])/12 - (1033*t[48])/192 - 
       (1063*t[49])/48 + (1025*t[50])/64 + (67*t[51])/8 - (1715*t[52])/192 + 
       (503*t[53])/48 + (3317*t[54])/192 + t[58]/2 - (5*t[59])/2 - 
       (81*t[60])/32 - (13931*t[61])/96 + (7291*t[62])/64 + 
       (1823*t[63])/192 - (1081*t[64])/64 + (3253*t[65])/288 + 
       (17903*t[66])/288 - (7*t[68])/6 + t[72] + (5*t[73])/2 + 5*t[74] - 
       (27*t[75])/2 - (221*t[76])/6 - (25*t[77])/4 + 56*t[78] + 
       (17*t[79])/2 - 13*t[80] + (139*t[81])/12 + (71*t[82])/12 + 23*t[83] + 
       (929*t[84])/32 + (1963*t[85])/96 - 16*t[86] + (1103*t[87])/96 + 
       (357*t[88])/64 - (2669*t[89])/192 - (50*t[96])/3 - (67*t[97])/6 - 
       174*t[98] + 165*t[99] + (527*t[100])/4 - 3*t[101] - (3*t[102])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((53*t[1])/12 - (949*t[2])/48 + (6187*t[3])/72 + (5069*t[4])/144 + 
       (1615*t[5])/144 - (8813*t[6])/144 + (17*t[7])/24 - (9041*t[8])/72 + 
       (1429*t[9])/144 - (6533*t[10])/288 + (12539*t[11])/144 - 
       (1573*t[12])/288 + (25939*t[13])/864 + (8191*t[14])/576 - 
       (2101*t[15])/72 + t[17] + 2*t[18] + t[19] + (11*t[20])/9 - 3*t[21] + 
       3*t[23] + (25*t[24])/6 - (3*t[25])/2 - t[26]/2 - (7*t[27])/2 + 
       (103*t[28])/9 - (26*t[29])/3 - (85*t[30])/18 - (25*t[31])/6 - 
       (83*t[32])/12 - (22*t[33])/9 - (16*t[34])/3 - (5*t[35])/6 - 
       (5*t[36])/2 - 2*t[37] + (11*t[38])/6 + (83*t[39])/6 - (119*t[40])/12 - 
       4*t[41] + 4*t[42] - t[43]/16 + (313*t[44])/36 + (85*t[45])/6 - 
       (3*t[46])/4 - (58*t[47])/3 - (1571*t[48])/72 + (5437*t[49])/288 - 
       (671*t[50])/72 - (7177*t[51])/576 + (575*t[52])/72 - 
       (3661*t[53])/288 - (2953*t[54])/48 - t[56]/2 + t[57] + (31*t[59])/6 + 
       (4523*t[60])/144 + (3125*t[61])/48 - (2561*t[62])/72 + 
       (11153*t[63])/72 + (4475*t[64])/288 - (123*t[65])/16 - (917*t[66])/6 + 
       4*t[68] - 5*t[69] - (7*t[70])/2 + (7*t[71])/2 - 9*t[72] - t[73]/12 - 
       (23*t[74])/4 + (41*t[75])/12 + 19*t[76] + (21*t[77])/4 - 
       (53*t[78])/3 + (65*t[79])/4 - (19*t[80])/4 + (509*t[81])/24 - 
       (491*t[82])/24 - (665*t[83])/18 + (127*t[84])/12 - (2479*t[85])/144 - 
       (1819*t[86])/72 - (13705*t[87])/144 - (16849*t[88])/288 - 
       (6413*t[89])/288 + 8*t[95] + 12*t[96] + (35*t[97])/6 + 62*t[98] - 
       60*t[99] - (1291*t[100])/12 - t[102]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((-71*t[1])/12 - (7*t[2])/12 - 
       (653*t[3])/24 + (1129*t[4])/48 - (1855*t[5])/48 + (2915*t[6])/96 + 
       (1033*t[7])/48 + (3293*t[8])/48 + (2119*t[9])/48 + (959*t[10])/96 - 
       (275*t[11])/32 + (3361*t[12])/96 + (13*t[13])/8 + (39619*t[14])/576 - 
       (529*t[15])/48 - t[16] - (35*t[19])/18 + t[20] + 2*t[21] - t[22] - 
       2*t[23] - t[25]/3 + (49*t[26])/6 - t[28] + t[29] - (5*t[30])/2 + 
       t[32] - t[33] - (19*t[34])/6 - 7*t[35] + 8*t[36] + (89*t[37])/6 - 
       (31*t[38])/6 + (5*t[39])/2 - (22*t[40])/3 + (37*t[41])/12 - 
       (37*t[42])/12 - (27*t[43])/4 - 3*t[44] - t[45]/2 - (46*t[46])/3 + 
       5*t[47] + (2435*t[48])/96 + (1931*t[49])/96 - (631*t[50])/32 + 
       (791*t[51])/192 + (2453*t[52])/96 - (739*t[53])/96 + (4495*t[54])/96 + 
       (7*t[58])/6 + (25*t[59])/3 + (1495*t[60])/48 + (2251*t[61])/48 - 
       (1663*t[62])/48 + (7771*t[63])/48 + (265*t[64])/32 - 
       (1411*t[65])/144 - (4913*t[66])/36 + 4*t[68] + (4*t[69])/3 - 
       (20*t[70])/3 + (20*t[71])/3 - 9*t[72] + (37*t[73])/12 - 
       (107*t[74])/12 + (79*t[75])/12 + 19*t[76] + (21*t[77])/4 - 
       (53*t[78])/3 + (157*t[79])/12 - (19*t[80])/4 + (157*t[81])/8 - 
       (151*t[82])/8 - (437*t[83])/12 + (127*t[84])/12 - (229*t[85])/16 - 
       (143*t[86])/8 - (4657*t[87])/48 - (5705*t[88])/96 - (2201*t[89])/96 + 
       8*t[95] + 12*t[96] + (35*t[97])/6 + 62*t[98] - 60*t[99] - 
       (405*t[100])/4 - t[102]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((227*t[1])/72 - (5*t[2])/144 + (565*t[3])/144 - 
       (6017*t[4])/72 + (32*t[5])/3 - (12049*t[6])/576 + (1589*t[7])/144 - 
       (251*t[8])/18 - (6569*t[9])/288 + (257*t[10])/24 + (1589*t[11])/576 - 
       (1969*t[12])/144 - (12703*t[13])/648 - (52489*t[14])/1728 + 
       (55723*t[15])/5184 - t[16]/2 - (3*t[19])/2 - 2*t[20] - 2*t[21] + 
       2*t[22] + 2*t[23] - (100*t[25])/9 + (295*t[26])/36 - (37*t[27])/18 - 
       (79*t[28])/12 - (131*t[29])/36 - (27*t[30])/4 - (73*t[31])/18 - 
       (19*t[32])/18 + (19*t[33])/18 - (31*t[34])/36 - (23*t[35])/6 - 
       (13*t[36])/6 - 10*t[37] + (137*t[38])/36 + (155*t[39])/144 - 
       (121*t[40])/48 - (41*t[41])/72 + (41*t[42])/72 + (17*t[43])/9 + 
       (1477*t[44])/144 + 2*t[45] + (55*t[46])/18 - (91*t[47])/18 - 
       (133*t[48])/192 + (1885*t[49])/144 - (379*t[50])/576 - 
       (2849*t[51])/288 + (83*t[52])/64 + (19*t[53])/144 - (1639*t[54])/192 - 
       t[58]/12 - (437*t[59])/72 - (51973*t[60])/288 + (121*t[61])/32 + 
       (31529*t[62])/576 + (13013*t[63])/192 + (81703*t[64])/576 + 
       (54755*t[65])/864 + (71707*t[66])/864 + (3*t[68])/2 - (15*t[69])/2 + 
       (19*t[70])/6 - (19*t[71])/6 + (10*t[72])/9 + (161*t[73])/6 + 
       (25*t[74])/12 - (157*t[75])/6 + (943*t[76])/36 + (29*t[77])/18 - 
       (1009*t[78])/18 + (509*t[79])/12 + (539*t[80])/36 - (53*t[81])/36 + 
       (67*t[82])/12 + (595*t[83])/36 - (9223*t[84])/288 - (315*t[85])/32 + 
       (2897*t[86])/72 + (2197*t[87])/96 + (869*t[88])/192 - 
       (22051*t[89])/576 - 2*t[93] + 8*t[95] + (41*t[96])/6 + (35*t[97])/36 + 
       (787*t[98])/6 - (967*t[99])/6 - (505*t[100])/12 - t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((5*t[1])/8 + (183*t[2])/16 - (409*t[3])/96 + (1733*t[4])/96 - 
       (3295*t[5])/192 + (701*t[6])/192 + (2705*t[7])/96 + (2105*t[8])/96 + 
       (5225*t[9])/192 - (10027*t[10])/192 + (6395*t[11])/192 + 
       (631*t[12])/96 + (6949*t[13])/576 + (11131*t[14])/384 + 
       (2359*t[15])/1152 - (3*t[20])/2 - 2*t[22] + t[25]/2 - t[26] - 
       t[27]/2 + 2*t[28] + (13*t[29])/4 - (9*t[30])/4 - (17*t[31])/6 + 
       (3*t[32])/4 - (3*t[33])/4 - t[34]/2 + 3*t[35] - (7*t[36])/4 - t[37] + 
       (3*t[38])/4 - t[39]/2 + (9*t[40])/8 - (5*t[41])/4 + (5*t[42])/4 + 
       (145*t[43])/48 + (47*t[44])/8 + (37*t[45])/8 - (9*t[46])/8 - 
       (19*t[47])/2 - (177*t[48])/64 - (103*t[49])/192 - (871*t[50])/192 + 
       (309*t[51])/128 + (775*t[52])/192 + (199*t[53])/192 + (519*t[54])/64 - 
       t[59] + (1417*t[60])/24 + (1975*t[61])/24 - (193*t[62])/24 - 
       (141*t[63])/8 - (511*t[64])/12 - (209*t[65])/18 - (1103*t[66])/18 + 
       2*t[68] - t[69] - 6*t[72] + 3*t[73] + 2*t[74] - 6*t[75] + 3*t[76] + 
       (25*t[77])/4 + (7*t[78])/2 - 12*t[79] + 7*t[80] + 7*t[81] - 
       (223*t[82])/12 + (2*t[83])/3 + (695*t[84])/48 + (285*t[85])/16 + 
       (45*t[86])/2 - (2111*t[87])/48 - (2111*t[88])/96 - (89*t[89])/12 + 
       (3*t[96])/2 + t[97] + 30*t[98] - 32*t[99] - (83*t[100])/2 - t[102]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-85*t[1])/18 - (17*t[2])/144 - (23*t[3])/12 + (14551*t[4])/576 + 
       (1133*t[5])/48 + (223*t[6])/96 - (205*t[7])/24 - (23*t[8])/9 - 
       (557*t[9])/144 + (41957*t[10])/1152 + (2357*t[11])/96 - 
       (9335*t[12])/1152 + (21055*t[13])/5184 + (3689*t[14])/256 + 
       (43321*t[15])/3456 + (2*t[19])/3 + t[20] - t[22] + (14*t[25])/3 + 
       (5*t[26])/6 + (23*t[27])/9 - t[28]/9 - (37*t[29])/18 + (11*t[30])/36 - 
       (86*t[31])/9 - t[32] + t[33] + (11*t[34])/9 - (35*t[35])/2 - 
       (91*t[36])/12 - (17*t[37])/2 - (119*t[38])/18 + (17*t[39])/6 - 
       3*t[40] - (10*t[41])/9 + (10*t[42])/9 + (149*t[43])/36 + 
       (19*t[44])/18 + (17*t[45])/4 + (19*t[46])/4 - (21*t[47])/2 + 
       (1187*t[48])/288 + (4309*t[49])/384 - (1981*t[50])/288 - 
       (2891*t[51])/256 + (605*t[52])/288 - (7487*t[53])/1152 - 
       (4237*t[54])/576 - t[58] + (271*t[59])/36 + (10997*t[60])/192 + 
       (8789*t[61])/192 + (61367*t[62])/1152 + (101081*t[63])/1152 - 
       (114941*t[64])/1152 - (78989*t[65])/1728 - (61555*t[66])/1728 - 
       t[68] - 3*t[69] + (3*t[70])/2 - (3*t[71])/2 - (139*t[72])/18 + 
       (77*t[73])/12 + (7*t[74])/2 - (439*t[75])/12 + (239*t[76])/18 + 
       (187*t[77])/36 - (248*t[78])/9 + (571*t[79])/12 + (419*t[80])/36 + 
       (697*t[81])/36 + (197*t[82])/24 + (19*t[83])/4 + (11371*t[84])/576 + 
       (6047*t[85])/576 - (5627*t[86])/72 - (33697*t[87])/576 - 
       (32833*t[88])/1152 - (23395*t[89])/1152 - t[93] - (2*t[96])/3 + 
       (32*t[97])/9 + (451*t[98])/6 - (457*t[99])/6 - (241*t[100])/6 - 
       t[102]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-47*t[1])/18 - (353*t[2])/48 - (4015*t[3])/288 - (451*t[4])/48 + 
       (6161*t[5])/288 + (23411*t[6])/1152 - (15109*t[7])/288 - 
       (9439*t[8])/96 + (25039*t[9])/576 + (2975*t[10])/288 - 
       (33083*t[11])/1152 + (7883*t[12])/288 + (10217*t[13])/1296 + 
       (144803*t[14])/3456 - (192905*t[15])/10368 + t[17] + 2*t[19] - 
       (2*t[20])/3 - 3*t[22] + 4*t[24] - t[25]/2 + t[26]/2 - (41*t[27])/18 + 
       (49*t[28])/4 - (553*t[29])/36 + (9*t[30])/8 - (77*t[31])/18 - 
       (439*t[32])/36 + (311*t[33])/18 + (118*t[34])/9 - (127*t[35])/6 - 
       (139*t[36])/12 - (7*t[37])/3 - (41*t[38])/9 - (947*t[39])/144 - 
       (17*t[40])/48 + (49*t[41])/36 - (49*t[42])/36 - (467*t[43])/144 + 
       (551*t[44])/36 - (49*t[45])/12 - (31*t[46])/24 - (157*t[47])/36 - 
       (2167*t[48])/128 + (3431*t[49])/288 - (7799*t[50])/1152 - 
       (5953*t[51])/576 + (16951*t[52])/1152 - (1261*t[53])/96 + 
       (6649*t[54])/384 - t[56]/2 - t[57] + (179*t[59])/24 + 
       (3189*t[60])/64 + (2053*t[61])/64 + (65677*t[62])/1152 + 
       (95971*t[63])/1152 - (113431*t[64])/1152 - (73759*t[65])/1728 - 
       (56105*t[66])/1728 - t[68] - (23*t[69])/6 + (3*t[70])/2 - 
       (3*t[71])/2 - (67*t[72])/9 + (47*t[73])/12 + (7*t[74])/2 - 
       (143*t[75])/4 + (263*t[76])/36 + (137*t[77])/36 - (193*t[78])/9 + 
       (581*t[79])/12 + (409*t[80])/36 + (617*t[81])/36 + (227*t[82])/24 + 
       6*t[83] + (13361*t[84])/576 + (5317*t[85])/576 - (5167*t[86])/72 - 
       (29627*t[87])/576 - (28763*t[88])/1152 - (27305*t[89])/1152 - t[93] - 
       (7*t[96])/3 + (73*t[97])/36 + (221*t[98])/6 - (227*t[99])/6 - 
       (103*t[100])/3 - t[102]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((97*t[1])/72 + (235*t[2])/72 + (9311*t[3])/144 - 
       (1231*t[4])/72 - (2939*t[5])/144 - (10459*t[6])/288 - (71*t[7])/12 + 
       (725*t[8])/72 - 29*t[9] - (959*t[10])/144 - (5099*t[11])/288 + 
       (2345*t[12])/144 - (86945*t[13])/2592 - (5107*t[14])/96 - 
       (4765*t[15])/216 + t[17]/2 - 2*t[18] - 2*t[19] - (61*t[20])/9 + 
       4*t[22] + (5*t[24])/6 - 2*t[25] + (5*t[26])/4 + (52*t[27])/9 - 
       t[28]/9 + (134*t[29])/9 + (533*t[30])/36 - (73*t[31])/9 + 
       (17*t[32])/6 - (193*t[33])/36 - (401*t[34])/36 - 9*t[35] - 
       (5*t[36])/3 - t[37]/6 + (61*t[38])/36 + (73*t[39])/12 - t[40] - 
       (79*t[41])/72 + (79*t[42])/72 - (485*t[43])/144 + (37*t[44])/72 + 
       (89*t[45])/12 + (85*t[46])/24 - (25*t[47])/12 - (2419*t[48])/288 - 
       (1501*t[49])/144 + (257*t[50])/288 - (629*t[51])/288 - 
       (259*t[52])/96 + (2189*t[53])/144 - (2287*t[54])/288 + t[56]/2 + 
       t[57] + (5*t[58])/12 - (107*t[59])/36 - (27097*t[60])/144 - 
       (225*t[61])/8 + (4277*t[62])/72 + (211*t[63])/3 + (39139*t[64])/288 + 
       (27773*t[65])/432 + (11071*t[66])/108 + (3*t[68])/2 - 2*t[69] + 
       (25*t[72])/18 + (55*t[73])/2 - (13*t[74])/12 - (133*t[75])/6 + 
       (182*t[76])/9 + (2*t[77])/9 - (899*t[78])/18 + (481*t[79])/12 + 
       (529*t[80])/36 - (95*t[81])/18 + (101*t[82])/12 + (659*t[83])/36 - 
       (2057*t[84])/72 - (197*t[85])/24 + (3889*t[86])/72 + (1349*t[87])/48 + 
       (685*t[88])/96 - (12193*t[89])/288 - 2*t[93] + 8*t[95] + 
       (31*t[96])/6 - (5*t[97])/9 + (557*t[98])/6 - (737*t[99])/6 - 
       (359*t[100])/12 - t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*((7*t[1])/24 + (347*t[2])/48 - 
       (2557*t[3])/96 + (385*t[4])/96 - (981*t[5])/64 + (3643*t[6])/192 - 
       (3455*t[7])/96 + (2909*t[8])/96 + (437*t[9])/192 + (2249*t[10])/192 - 
       (1171*t[11])/192 + (1217*t[12])/96 + (25283*t[13])/1728 + 
       (9947*t[14])/384 + (28873*t[15])/3456 + 4*t[19] - 2*t[20] + 2*t[22] + 
       t[24]/2 - t[25] + t[26] - (4*t[27])/3 + (8*t[28])/3 - 6*t[29] + 
       (137*t[30])/12 - (25*t[31])/6 - (61*t[32])/12 + (61*t[33])/12 + 
       (17*t[34])/6 - t[35] + (49*t[36])/4 - 5*t[37] + t[38]/12 + 
       (31*t[39])/12 - (3*t[40])/8 + (4*t[41])/3 - (4*t[42])/3 - 
       (211*t[43])/48 - (49*t[44])/24 + (13*t[45])/8 + (15*t[46])/8 - 
       (29*t[47])/6 + (949*t[48])/64 - (827*t[49])/192 - (807*t[50])/64 - 
       (941*t[51])/384 + (2389*t[52])/192 + (297*t[53])/64 + (913*t[54])/64 - 
       (5*t[59])/12 - (835*t[60])/48 - (571*t[61])/48 + (1511*t[62])/32 - 
       (1253*t[63])/96 - (2315*t[64])/32 + (2239*t[65])/144 - 
       (409*t[66])/48 - t[68] - 2*t[69] + (13*t[72])/6 + (35*t[73])/2 + 
       (11*t[74])/2 - (41*t[75])/2 - (28*t[76])/3 + (5*t[77])/12 + 
       (80*t[78])/3 + 17*t[79] - (23*t[80])/3 + (113*t[81])/12 + 
       (43*t[82])/6 + (67*t[83])/6 + (59*t[84])/6 - (37*t[85])/24 - 
       (295*t[86])/6 + (221*t[87])/12 + (221*t[88])/24 - (301*t[89])/32 - 
       (5*t[96])/2 - (5*t[97])/3 - 52*t[98] + 51*t[99] + (5*t[100])/2 - 
       t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2*((-59*t[1])/24 + (635*t[2])/48 + (895*t[3])/96 + 
       (899*t[4])/96 - (47*t[5])/192 - (1895*t[6])/192 - (2483*t[7])/96 - 
       (1687*t[8])/96 - (1493*t[9])/64 + (957*t[10])/64 - (4361*t[11])/192 - 
       (143*t[12])/24 - (2809*t[13])/1728 - (4473*t[14])/128 + 
       (13955*t[15])/1152 + t[20] - t[22] + (23*t[27])/6 + (4*t[28])/3 - 
       (49*t[29])/12 + (31*t[30])/12 + (9*t[31])/2 - (3*t[32])/4 + 
       (3*t[33])/4 + (11*t[34])/6 - 7*t[35] - (17*t[36])/4 - (11*t[38])/12 + 
       t[39]/2 - (23*t[40])/8 - (17*t[41])/12 + (17*t[42])/12 + 
       (3*t[43])/16 + (5*t[44])/24 + (49*t[45])/8 + (49*t[46])/8 - 
       (27*t[47])/2 - (1807*t[48])/192 - (2225*t[49])/192 + (879*t[50])/64 + 
       (339*t[51])/128 - (2285*t[52])/192 + (507*t[53])/64 - 
       (347*t[54])/192 - (5*t[59])/12 - (923*t[60])/48 - (827*t[61])/48 + 
       (5357*t[62])/96 - (1277*t[63])/96 - (7025*t[64])/96 + (319*t[65])/16 + 
       (101*t[66])/144 - t[68] - t[69] + (7*t[72])/6 + (41*t[73])/2 + 
       (11*t[74])/2 - (39*t[75])/2 - (28*t[76])/3 + (5*t[77])/12 + 
       (80*t[78])/3 + 13*t[79] - (35*t[80])/3 + (113*t[81])/12 + 
       (35*t[82])/6 + (37*t[83])/3 + (19*t[84])/2 - (13*t[85])/24 - 
       (331*t[86])/6 + (79*t[87])/4 + (79*t[88])/8 - (439*t[89])/96 - 
       (5*t[96])/2 - (5*t[97])/3 - 52*t[98] + 51*t[99] + 17*t[100] - 
       t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      ((17*t[1])/16 - (75*t[2])/32 - (145*t[3])/192 - (73*t[4])/8 - 
       (737*t[5])/96 - (1651*t[6])/384 - (309*t[7])/64 + (449*t[8])/64 - 
       (43*t[9])/8 + (4493*t[10])/192 - (943*t[11])/384 + (137*t[12])/96 - 
       (5711*t[13])/1152 + (1997*t[14])/1152 + (2675*t[15])/384 - 
       (5*t[17])/8 - t[19]/4 - (11*t[20])/4 + (19*t[22])/4 - t[24] + 
       t[25]/2 - t[26]/2 + t[27] - (5*t[28])/4 + (5*t[29])/16 + (7*t[30])/8 + 
       (7*t[31])/12 - (9*t[32])/8 + (3*t[33])/8 - (13*t[34])/4 + 
       (5*t[35])/4 - (5*t[36])/8 - (3*t[37])/2 + (3*t[38])/4 - (3*t[39])/8 + 
       (3*t[40])/2 + (3*t[41])/8 - (3*t[42])/8 - (409*t[43])/192 + 
       (71*t[44])/32 - t[45]/8 + (9*t[46])/16 - (525*t[48])/128 - 
       (221*t[49])/96 - (139*t[50])/384 + (35*t[51])/32 - (629*t[52])/384 + 
       (221*t[53])/96 + (235*t[54])/384 + (3*t[56])/8 + (3*t[57])/4 - 
       (21*t[59])/16 + (1529*t[60])/192 + (267*t[61])/64 - (3791*t[62])/192 - 
       (2385*t[63])/64 - (5107*t[64])/128 + (329*t[65])/24 - 
       (19385*t[66])/576 - (3*t[69])/2 + (11*t[72])/4 + 2*t[73] + 
       (3*t[74])/4 - (31*t[75])/4 + (9*t[76])/4 - (9*t[77])/16 - 
       (9*t[78])/2 + (3*t[79])/2 + (19*t[80])/16 + (11*t[81])/8 - 
       (197*t[82])/48 + (31*t[83])/8 - (919*t[84])/192 - (719*t[85])/192 + 
       (707*t[86])/96 - t[87]/192 - t[88]/384 - (1327*t[89])/128 - 
       (5*t[97])/4 + t[98]/2 + (3*t[99])/2 - (141*t[100])/4 + t[102]/4) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((-7*t[1])/2 + t[2]/8 - (59*t[3])/12 + (59*t[4])/6 + (13*t[5])/6 + 
       (115*t[6])/32 + (105*t[7])/16 + (239*t[8])/24 + 13*t[9] + 
       (167*t[10])/12 + (2143*t[11])/96 + (185*t[12])/16 + (563*t[13])/32 + 
       (187*t[14])/16 + (155*t[15])/48 - t[16]/2 - t[19]/2 - t[20]/2 + 
       t[21]/2 + (5*t[22])/2 - t[23]/2 + (37*t[25])/12 - (17*t[26])/6 - 
       t[27]/2 + t[28] + t[29]/2 - t[30]/2 - (5*t[31])/4 - t[32] + t[33]/2 + 
       t[34]/2 - (31*t[35])/4 + t[36]/2 + (13*t[37])/4 - (3*t[38])/4 + 
       (5*t[40])/4 - t[41]/4 + t[42]/4 - (13*t[43])/4 - 2*t[44] - 
       (29*t[45])/8 + t[46]/12 + (25*t[47])/4 - (47*t[48])/32 + 
       (59*t[49])/24 - (173*t[50])/96 - (95*t[51])/96 - (67*t[52])/96 - 
       (71*t[53])/24 - (113*t[54])/32 - t[58]/2 - (29*t[59])/16 + 
       (929*t[60])/192 + (163*t[61])/64 - (2059*t[62])/192 - 
       (6503*t[63])/192 - (15553*t[64])/384 + (139*t[65])/8 - 
       (1633*t[66])/64 - (5*t[69])/2 + t[70]/2 - t[71]/2 + (3*t[72])/4 + 
       (7*t[73])/2 + (5*t[74])/4 - (33*t[75])/4 + (9*t[76])/4 - 
       (9*t[77])/16 - (9*t[78])/2 - t[79] - (45*t[80])/16 + (13*t[81])/8 - 
       (91*t[82])/16 + (91*t[83])/24 - (349*t[84])/64 - (679*t[85])/192 - 
       (205*t[86])/96 + (695*t[87])/192 + (695*t[88])/384 - 
       (2117*t[89])/384 - (5*t[97])/4 + t[98]/2 + (3*t[99])/2 - 
       (89*t[100])/4 + t[102]/4) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2*((119*t[1])/72 - (125*t[2])/144 + (83*t[3])/24 - 
       (7037*t[4])/576 - (59*t[5])/12 - (401*t[6])/96 + (317*t[7])/24 + 
       (613*t[8])/144 - (115*t[9])/72 - (16951*t[10])/1152 - (355*t[11])/32 - 
       (2003*t[12])/1152 - (92627*t[13])/5184 - (17363*t[14])/2304 - 
       (44375*t[15])/3456 - (3*t[16])/4 - t[20]/2 + t[22]/2 - (37*t[25])/12 + 
       (31*t[26])/12 - (11*t[27])/18 - (23*t[28])/18 + (10*t[29])/9 - 
       (13*t[30])/36 - (5*t[31])/36 + t[32]/2 - t[33]/2 - (37*t[34])/36 + 
       (33*t[35])/4 + (47*t[36])/12 + (29*t[37])/12 + (47*t[38])/36 - 
       (5*t[39])/3 + (19*t[40])/12 + (55*t[41])/72 - (55*t[42])/72 - 
       (25*t[43])/9 - (10*t[44])/9 - (29*t[45])/8 + t[46]/4 + (33*t[47])/4 - 
       (463*t[48])/288 + (603*t[49])/128 + (1241*t[50])/288 - 
       (2941*t[51])/768 - (529*t[52])/288 - (4979*t[53])/1152 - 
       (4069*t[54])/576 + (7*t[58])/12 - (211*t[59])/144 - (3781*t[60])/96 - 
       (3383*t[61])/96 - (54907*t[62])/1152 - (6865*t[63])/1152 + 
       (16561*t[64])/288 + (38227*t[65])/1728 + (36817*t[66])/864 + t[68]/2 - 
       t[69] + (61*t[72])/36 - (11*t[73])/6 - 3*t[74] + (77*t[75])/12 - 
       (35*t[76])/9 - (317*t[77])/144 + (34*t[78])/9 - (73*t[79])/6 - 
       (337*t[80])/144 - (613*t[81])/72 + (11*t[82])/16 + (47*t[83])/4 - 
       (3619*t[84])/288 - (521*t[85])/288 + (19033*t[86])/288 + 
       (619*t[87])/18 + (619*t[88])/36 + (4525*t[89])/576 + (4*t[96])/3 - 
       (4*t[97])/9 - (43*t[98])/3 + (37*t[99])/3 + (155*t[100])/6 + 
       t[102]/4) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2*
      ((-7*t[1])/16 - (171*t[2])/32 + (859*t[3])/192 - (15*t[4])/16 + 
       (575*t[5])/96 - (827*t[6])/384 + (223*t[7])/64 - (171*t[8])/64 - 
       (349*t[9])/16 - (1205*t[10])/192 + (2113*t[11])/384 - (13*t[12])/48 + 
       (1663*t[13])/384 - (13997*t[14])/1152 + (3997*t[15])/1152 - t[17]/8 + 
       t[19]/2 + (9*t[20])/4 - t[21]/4 - (3*t[22])/4 + t[23]/4 + t[26]/2 - 
       (5*t[27])/4 - t[28]/4 - (7*t[29])/16 + (39*t[30])/8 - t[31]/12 + 
       (11*t[32])/8 + (3*t[33])/8 - t[34]/4 + (21*t[35])/4 + (3*t[36])/8 - 
       t[38]/4 - (15*t[39])/8 + (3*t[40])/4 + t[41]/8 - t[42]/8 + 
       (235*t[43])/192 + (59*t[44])/32 - (23*t[45])/8 - (15*t[46])/16 + 
       3*t[47] - (141*t[48])/128 + (25*t[49])/48 + (1765*t[50])/384 + 
       (109*t[51])/64 - (1957*t[52])/384 - (25*t[53])/48 - (2317*t[54])/384 - 
       t[56]/8 - t[57]/4 - t[59]/16 - (4079*t[60])/192 + (591*t[61])/64 + 
       (4271*t[62])/192 - (547*t[63])/64 - (159*t[64])/128 + (79*t[65])/16 + 
       (12275*t[66])/576 + (5*t[69])/4 + (3*t[72])/2 - (13*t[73])/2 + 
       (3*t[74])/4 + 4*t[75] - (13*t[76])/4 + (11*t[77])/16 - (13*t[78])/2 - 
       (119*t[79])/8 + (119*t[80])/16 - (13*t[81])/8 + (47*t[82])/48 + 
       (3*t[83])/8 - (1523*t[84])/192 - (1579*t[85])/192 - (1757*t[86])/96 + 
       (3883*t[87])/192 + (3883*t[88])/384 - (683*t[89])/128 - t[97]/4 - 
       (3*t[98])/2 + 2*t[99] + (107*t[100])/4 + t[102]/4) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      (2*t[1] + (27*t[2])/8 + (71*t[3])/16 - (503*t[4])/24 + (287*t[5])/12 + 
       (109*t[6])/24 - (139*t[7])/16 + (223*t[8])/24 - (417*t[9])/16 + 
       (275*t[10])/48 - t[11]/8 - (55*t[12])/12 - (1499*t[13])/288 - 
       (101*t[14])/18 + (1525*t[15])/144 - t[16]/2 - (3*t[19])/2 - 
       (13*t[25])/12 + t[26]/3 + t[27]/2 + (3*t[28])/2 + (5*t[29])/2 - 
       (23*t[30])/4 - (19*t[31])/12 - t[32]/4 + t[33]/4 - (3*t[34])/2 - 
       (19*t[35])/4 - t[36]/2 - t[37]/4 + (3*t[38])/4 + t[39]/2 + 
       (5*t[40])/4 - (3*t[41])/4 + (3*t[42])/4 + (23*t[43])/6 - (5*t[44])/2 + 
       (17*t[45])/8 + (29*t[46])/12 - (19*t[47])/4 + t[48] - (73*t[49])/16 - 
       t[50]/4 + (35*t[51])/24 + t[52]/4 + (89*t[53])/16 + (59*t[54])/24 + 
       (7*t[59])/16 - (4087*t[60])/192 + (407*t[61])/64 + (1433*t[62])/64 - 
       (1429*t[63])/192 - (917*t[64])/384 + (221*t[65])/48 + 
       (13763*t[66])/576 + (9*t[69])/4 - t[70]/2 + t[71]/2 + (3*t[72])/2 - 
       6*t[73] + t[74]/4 + (9*t[75])/2 - (13*t[76])/4 + (11*t[77])/16 - 
       (13*t[78])/2 - (123*t[79])/8 + (119*t[80])/16 - (15*t[81])/8 + 
       (59*t[82])/48 + (11*t[83])/24 - (1523*t[84])/192 - (497*t[85])/64 - 
       (1645*t[86])/96 + (3827*t[87])/192 + (3827*t[88])/384 - 
       (2089*t[89])/384 - t[97]/4 - (3*t[98])/2 + 2*t[99] + (111*t[100])/4 + 
       t[102]/4) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*
      ((125*t[1])/144 - (59*t[2])/288 + (6823*t[3])/576 - (275*t[4])/24 - 
       (371*t[5])/36 - (8501*t[6])/576 + (18493*t[7])/576 + (4705*t[8])/192 - 
       (9941*t[9])/576 - (77*t[10])/576 - (2369*t[11])/288 - 
       (2575*t[12])/288 - (194855*t[13])/10368 - (21343*t[14])/864 + 
       (2933*t[15])/1296 - (3*t[17])/8 - (3*t[19])/2 - (7*t[20])/6 - 
       t[21]/4 + (7*t[22])/2 + t[23]/4 - (3*t[24])/2 + t[25]/2 - t[26]/2 + 
       (37*t[27])/18 - (13*t[28])/2 + (245*t[29])/144 + (2*t[30])/3 + 
       (89*t[31])/36 + (445*t[32])/72 - (439*t[33])/72 - (227*t[34])/36 + 
       (97*t[35])/12 + (79*t[36])/24 + (23*t[37])/12 + (73*t[38])/36 + 
       (115*t[39])/144 + (25*t[40])/16 - (2*t[41])/9 + (2*t[42])/9 + 
       (1237*t[43])/576 + (811*t[44])/288 + (45*t[45])/8 + (37*t[46])/48 - 
       (22*t[47])/9 - (115*t[48])/48 - (1513*t[49])/288 + (1861*t[50])/288 + 
       (1123*t[51])/288 - (2885*t[52])/288 + (611*t[53])/96 - (61*t[54])/16 + 
       (3*t[56])/8 + (3*t[57])/4 - (209*t[59])/144 - (657*t[60])/16 - 
       37*t[61] - (45209*t[62])/1152 - (659*t[63])/1152 + (31963*t[64])/576 + 
       (42941*t[65])/1728 + (1423*t[66])/27 + t[68]/2 - (5*t[69])/6 - 
       (13*t[72])/36 + (2*t[73])/3 - 3*t[74] + (25*t[75])/4 - (97*t[76])/36 - 
       (277*t[77])/144 + (23*t[78])/9 - (46*t[79])/3 - (905*t[80])/144 - 
       (581*t[81])/72 - (43*t[82])/48 + (23*t[83])/2 - (2005*t[84])/144 - 
       (8*t[85])/9 + (16265*t[86])/288 + (10457*t[87])/288 + 
       (10457*t[88])/576 + (1913*t[89])/144 + (5*t[96])/3 - (5*t[97])/36 - 
       (20*t[98])/3 + (14*t[99])/3 + (116*t[100])/3 + t[102]/4) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((5*t[1])/8 + (287*t[2])/48 - (145*t[3])/96 + (151*t[4])/24 - 
       (41*t[5])/3 - (21*t[6])/64 + (601*t[7])/96 + (559*t[8])/96 + 
       (211*t[9])/16 + (683*t[10])/96 + (731*t[11])/64 + (115*t[12])/48 + 
       (8155*t[13])/576 + (1231*t[14])/576 + (269*t[15])/192 - t[17]/2 - 
       t[19]/2 - (19*t[20])/3 + 2*t[21] + 4*t[22] - 2*t[23] - (3*t[24])/2 + 
       t[26] + (11*t[27])/6 - (5*t[28])/6 - (41*t[29])/24 + (29*t[30])/12 - 
       (13*t[31])/2 - (11*t[32])/4 + (11*t[33])/12 - t[34]/6 - 13*t[35] - 
       (21*t[36])/4 - (11*t[37])/3 - (7*t[38])/6 + (3*t[39])/4 - 
       (3*t[40])/4 + (11*t[41])/6 - (11*t[42])/6 - (131*t[43])/32 + 
       (5*t[44])/48 - (25*t[45])/2 - (7*t[46])/8 + (77*t[47])/4 - 
       (637*t[48])/64 + (23*t[49])/24 + (327*t[50])/64 - (13*t[51])/96 - 
       (1013*t[52])/192 - (13*t[53])/8 - (2005*t[54])/192 + t[56]/4 - 
       t[57]/2 + t[59]/3 + (1825*t[60])/96 + (1489*t[61])/96 - 
       (771*t[62])/32 - (5953*t[63])/96 - (14105*t[64])/192 + (14*t[65])/3 - 
       (11405*t[66])/288 + (3*t[68])/4 - (7*t[69])/2 + 4*t[72] - 
       (47*t[73])/6 + 6*t[74] - 6*t[75] + (11*t[76])/12 + (133*t[77])/24 - 
       (41*t[78])/6 + (10*t[79])/3 - (41*t[80])/24 + (47*t[81])/12 + 
       (113*t[82])/24 + (43*t[83])/6 + (173*t[84])/96 + (809*t[85])/96 + 
       (167*t[86])/48 - (331*t[87])/32 - (267*t[88])/64 - (1187*t[89])/64 - 
       t[93] + t[96]/2 + t[97]/12 + 19*t[98] - 22*t[99] - (184*t[100])/3 + 
       t[102]/2) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((17*t[1])/24 - (10*t[2])/3 - (73*t[3])/9 + 
       (49*t[4])/8 - (415*t[5])/36 - (1499*t[6])/144 + (143*t[7])/8 - 
       (217*t[8])/12 + (179*t[9])/12 + (1565*t[10])/144 + (3451*t[11])/144 + 
       (1243*t[12])/144 + (419*t[13])/216 + (16487*t[14])/864 - 
       (11*t[15])/24 - t[16] - 2*t[19] + (3*t[20])/2 + (3*t[21])/2 - 
       2*t[22] - (3*t[23])/2 + (4*t[25])/3 - (19*t[26])/12 - t[27]/3 - 
       (79*t[29])/12 - (7*t[30])/2 + (53*t[31])/18 + (5*t[32])/12 - t[33]/6 + 
       (25*t[34])/12 - (7*t[35])/2 - (11*t[36])/3 + (2*t[37])/3 + t[38]/3 + 
       (19*t[39])/12 - (3*t[40])/2 - (25*t[41])/24 + (25*t[42])/24 - 
       (73*t[43])/36 + (133*t[44])/24 + (15*t[45])/2 + (13*t[46])/12 - 
       (49*t[47])/3 - (239*t[48])/48 + (467*t[49])/144 - (137*t[50])/144 - 
       (175*t[51])/96 - (139*t[52])/144 - (419*t[53])/144 - 
       (1309*t[54])/144 - t[58]/4 + t[59]/3 + (2131*t[60])/288 - 
       (95*t[61])/96 + (2741*t[62])/288 - (4369*t[63])/96 - 
       (15337*t[64])/192 + (152*t[65])/9 - (247*t[66])/864 + (3*t[68])/4 - 
       (7*t[69])/2 - (10*t[72])/3 - t[73]/2 + 6*t[74] - 6*t[75] + 
       (11*t[76])/12 + (133*t[77])/24 - (41*t[78])/6 - (23*t[79])/3 - 
       (131*t[80])/8 + (47*t[81])/12 - (13*t[82])/72 + (43*t[83])/6 - 
       (185*t[84])/288 + (3131*t[85])/288 - (3899*t[86])/144 + 
       (541*t[87])/288 + (1117*t[88])/576 - (217*t[89])/192 - t[93] + 
       t[96]/2 + t[97]/12 + 19*t[98] - 22*t[99] - 10*t[100] + t[102]/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((97*t[1])/36 - (419*t[2])/144 + (9*t[3])/16 - (91*t[4])/144 - 
       (101*t[5])/18 - (531*t[6])/64 + (3221*t[7])/144 + (1321*t[8])/72 + 
       (2737*t[9])/288 + (1705*t[10])/288 + (15*t[11])/64 - t[12]/32 - 
       (5969*t[13])/324 + (2329*t[14])/144 - (45761*t[15])/5184 + t[20]/2 - 
       t[22]/2 + (25*t[25])/18 - (25*t[26])/18 + (29*t[27])/18 - 
       (19*t[28])/12 + (55*t[29])/36 + (13*t[30])/4 - (16*t[31])/9 + 
       (19*t[32])/9 - (19*t[33])/9 - (10*t[34])/9 + (23*t[35])/3 + 
       (19*t[36])/6 + t[37] + (29*t[38])/36 - (229*t[39])/144 + 
       (45*t[40])/16 + (29*t[41])/36 - (29*t[42])/36 - (71*t[43])/36 - 
       (551*t[44])/144 - 2*t[45] - (5*t[46])/18 + (46*t[47])/9 - 
       (149*t[48])/64 + (499*t[49])/96 + (1853*t[50])/192 - 
       (1333*t[51])/576 - (4471*t[52])/576 - (1145*t[53])/288 - 
       (2155*t[54])/576 + t[58]/2 + (67*t[59])/72 + (5*t[60])/24 + 
       (313*t[61])/16 - (5547*t[62])/64 + (1055*t[63])/64 + 
       (2453*t[64])/288 + (1625*t[65])/864 - (307*t[66])/144 + t[68]/4 + 
       (13*t[69])/2 - (11*t[70])/6 + (11*t[71])/6 + (40*t[72])/9 - 
       (71*t[73])/6 - (107*t[74])/12 + (37*t[75])/3 - (107*t[76])/9 - 
       (151*t[77])/72 + (227*t[78])/18 - (137*t[79])/6 + (379*t[80])/72 - 
       (257*t[81])/36 + (269*t[82])/72 + (149*t[83])/18 - (127*t[84])/16 - 
       (1739*t[85])/144 + (8345*t[86])/144 + (2501*t[87])/144 + 
       (2501*t[88])/288 - (61*t[89])/144 + t[93] + (11*t[96])/6 + 
       (13*t[97])/18 - (167*t[98])/6 + (269*t[99])/6 + (13*t[100])/4 + 
       t[102]/2) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((11*t[1])/3 - (19*t[2])/12 + 11*t[3] - 
       (86*t[4])/3 + (931*t[5])/48 - (1573*t[6])/96 + (361*t[7])/48 - 
       (1193*t[8])/48 - (727*t[9])/48 + (1201*t[10])/48 - (1153*t[11])/96 - 
       (191*t[12])/12 - (4421*t[13])/216 + (29*t[14])/288 - (71*t[15])/32 + 
       t[16]/2 + t[20] - t[22] + (5*t[25])/6 - (10*t[26])/3 - (2*t[27])/3 - 
       (5*t[28])/3 - (4*t[29])/3 + t[30]/3 - t[31]/2 + t[34]/3 + 
       (7*t[35])/2 - t[36] - (10*t[37])/3 + (7*t[38])/3 - t[39]/2 + 
       (3*t[40])/2 - t[41]/6 + t[42]/6 + 5*t[43] + (13*t[44])/3 + 
       (9*t[45])/4 + (2*t[46])/3 - (13*t[47])/2 - (521*t[48])/96 + 6*t[49] + 
       (1015*t[50])/96 - (21*t[51])/16 - (983*t[52])/96 - (31*t[53])/6 - 
       (301*t[54])/32 - (37*t[59])/8 - (2149*t[60])/96 - (941*t[61])/96 - 
       (1529*t[62])/32 - (977*t[63])/32 - (131*t[64])/192 - (691*t[65])/48 + 
       (1349*t[66])/96 - t[68] - (5*t[69])/3 + (11*t[70])/6 - (11*t[71])/6 + 
       (11*t[72])/3 - (89*t[73])/12 - (11*t[74])/12 - (41*t[75])/12 - 
       (41*t[76])/6 - (23*t[77])/24 + (61*t[78])/6 + (11*t[79])/6 + 
       (77*t[80])/24 - (63*t[81])/8 + 10*t[82] + (95*t[83])/3 - 
       (1321*t[84])/96 - (1087*t[85])/96 + (1927*t[86])/48 + 
       (3739*t[87])/96 + (3739*t[88])/192 - (3647*t[89])/192 - t[96] - 
       (8*t[97])/3 - 31*t[98] + 31*t[99] + (21*t[100])/2 + t[102]/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((13*t[1])/24 + (17*t[2])/12 - (1859*t[3])/288 - (343*t[4])/144 - 
       (2545*t[5])/288 - (7451*t[6])/576 + (1273*t[7])/96 - (1895*t[8])/288 - 
       (1189*t[9])/288 + (551*t[10])/36 - (475*t[11])/576 + (22*t[12])/9 - 
       (6197*t[13])/1728 - (1091*t[14])/96 + (5227*t[15])/864 - t[17]/2 + 
       (3*t[19])/2 + (7*t[20])/18 + t[21] - (3*t[22])/2 - t[23] - 
       (7*t[24])/3 - t[25] + t[26] + (7*t[27])/6 - (157*t[28])/18 + 
       (35*t[29])/24 + (73*t[30])/9 + (5*t[31])/6 + (7*t[32])/6 - 
       (59*t[33])/18 - (17*t[34])/3 + (7*t[35])/6 - (3*t[36])/4 - 
       (5*t[37])/2 + (11*t[38])/6 - (53*t[39])/12 + 5*t[40] + (19*t[41])/12 - 
       (19*t[42])/12 - (51*t[43])/32 + (679*t[44])/144 - (27*t[45])/4 - 
       t[46]/8 + (167*t[47])/12 - (5827*t[48])/576 - (2159*t[49])/288 + 
       (11201*t[50])/576 + (2993*t[51])/576 - (14177*t[52])/576 + 
       (1967*t[53])/288 - (1183*t[54])/192 + t[56]/4 - t[57]/2 - 
       (67*t[59])/24 - (6491*t[60])/288 - (651*t[61])/32 - 
       (13607*t[62])/288 - (7627*t[63])/288 - (2813*t[64])/576 - 
       (2249*t[65])/144 + (6775*t[66])/288 - t[68] + 2*t[69] + (11*t[72])/3 - 
       (67*t[73])/12 - (11*t[74])/4 - (19*t[75])/12 - (41*t[76])/6 - 
       (23*t[77])/24 + (61*t[78])/6 + (77*t[80])/24 - (211*t[81])/24 + 
       (131*t[82])/12 + (1151*t[83])/36 - (1321*t[84])/96 - 
       (2777*t[85])/288 + (6397*t[86])/144 + (10909*t[87])/288 + 
       (10909*t[88])/576 - (11161*t[89])/576 - t[96] - (8*t[97])/3 - 
       31*t[98] + 31*t[99] + (85*t[100])/6 + t[102]/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-7*t[1])/36 - (283*t[2])/144 - (359*t[3])/96 + (637*t[4])/144 - 
       (211*t[5])/144 - (1417*t[6])/192 + (3479*t[7])/96 - (13*t[8])/288 - 
       (22*t[9])/3 - (695*t[10])/72 + (8725*t[11])/576 - (2341*t[12])/288 - 
       (26623*t[13])/5184 + (797*t[14])/432 + (11009*t[15])/1728 - t[17]/4 - 
       t[19] + (79*t[20])/18 + t[21]/2 - 3*t[22] - t[23]/2 - t[24]/6 - 
       (3*t[26])/4 - (55*t[27])/18 - (19*t[28])/9 - (47*t[29])/72 + 
       (23*t[30])/36 + (53*t[31])/18 + (7*t[32])/4 - (31*t[33])/36 - 
       (95*t[34])/36 + 7*t[35] + (17*t[36])/4 + 5*t[37] + (73*t[38])/36 - 
       (13*t[39])/12 + (13*t[40])/6 - (13*t[41])/72 + (13*t[42])/72 + 
       (1009*t[43])/288 + (251*t[44])/144 - (3*t[45])/2 - (7*t[46])/3 + 
       (5*t[47])/4 - (251*t[48])/576 + (67*t[49])/32 + (1763*t[50])/192 + 
       (1043*t[51])/576 - (6809*t[52])/576 - (187*t[53])/288 - 
       (4753*t[54])/576 - t[56]/4 - t[57]/2 - t[58]/12 - (8*t[59])/9 - 
       (937*t[60])/96 + (523*t[61])/32 - (1739*t[62])/32 + (2863*t[63])/96 + 
       (3479*t[64])/576 + (6359*t[65])/432 + (7799*t[66])/288 + t[68]/4 + 
       3*t[69] - (53*t[72])/18 - (35*t[73])/6 - (85*t[74])/12 + 
       (31*t[75])/3 - (385*t[76])/36 - (131*t[77])/72 + (205*t[78])/18 - 
       (193*t[79])/6 - (673*t[80])/72 - (52*t[81])/9 - (167*t[82])/72 + 
       (139*t[83])/18 - (1063*t[84])/96 - (3185*t[85])/288 + 
       (3145*t[86])/144 + (8423*t[87])/288 + (8423*t[88])/576 + 
       (10399*t[89])/576 + t[93] + (13*t[96])/6 + (37*t[97])/36 - 
       (121*t[98])/6 + (223*t[99])/6 + (199*t[100])/4 + t[102]/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      (t[1]/2 + (15*t[2])/4 - (179*t[3])/8 - 44*t[4] - (1085*t[5])/48 + 
       (1895*t[6])/48 + (3299*t[7])/48 + (2235*t[8])/16 + (115*t[9])/12 - 
       (3523*t[10])/48 + (149*t[11])/4 + (1049*t[12])/48 + (4607*t[13])/864 + 
       (1679*t[14])/144 + (2153*t[15])/72 + t[18]/3 - (4*t[22])/3 - 4*t[27] + 
       12*t[28] - (8*t[31])/3 - t[34]/3 + 20*t[35] + 5*t[36] + 
       (13*t[43])/48 + (61*t[45])/24 - t[46] - (49*t[47])/12 + (95*t[48])/4 - 
       (83*t[49])/6 - (167*t[50])/12 + (37*t[51])/4 + (167*t[52])/12 + 
       (83*t[53])/6 + (515*t[54])/12 + t[59] - (305*t[60])/4 + 
       (529*t[61])/2 - (487*t[62])/6 + (14*t[63])/3 + (467*t[64])/3 + 
       (3007*t[65])/18 - (224*t[66])/9 + 24*t[68] - 10*t[72] + 66*t[73] - 
       112*t[75] - 32*t[76] + 3*t[77] + 8*t[78] - 5*t[79] + 12*t[80] + 
       12*t[81] + (13*t[82])/3 - 6*t[83] + (17*t[84])/3 - (59*t[85])/3 + 
       (143*t[86])/2 + (233*t[87])/3 + (233*t[88])/6 - (7*t[89])/24 + 
       118*t[98] + 32*t[99] - 335*t[100] + t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*
      ((21*t[1])/4 - (123*t[2])/8 + (1151*t[3])/48 + (33*t[4])/2 + 
       (581*t[5])/48 - (1321*t[6])/96 - (221*t[7])/16 - (519*t[8])/16 - 
       (137*t[9])/16 - (499*t[10])/48 + (3539*t[11])/96 - (1433*t[12])/48 + 
       (10573*t[13])/288 - (5215*t[14])/288 - (521*t[15])/36 + t[17]/2 + 
       2*t[19] - 4*t[20] - t[21] + 6*t[22] + t[23] + 2*t[24] + 4*t[27] - 
       3*t[28] + (7*t[29])/4 + (9*t[30])/2 - (20*t[31])/3 + (13*t[32])/2 - 
       (7*t[33])/2 - 7*t[34] - t[35] + t[36]/2 - 11*t[37] + t[38] + 
       (3*t[39])/2 - 2*t[40] - t[41] + t[42] - (103*t[43])/48 + 
       (49*t[44])/8 + 16*t[45] + (3*t[46])/4 - 15*t[47] + (85*t[48])/32 + 
       (247*t[49])/24 - (349*t[50])/96 - (9*t[51])/2 + (157*t[52])/96 - 
       (247*t[53])/24 - (2723*t[54])/96 + t[56]/2 + t[57] - (13*t[59])/4 - 
       (883*t[60])/48 + (455*t[61])/16 - (67*t[62])/6 - (657*t[63])/8 + 
       (1617*t[64])/32 - (559*t[65])/8 - (13085*t[66])/144 + t[68] - 
       2*t[69] - 3*t[72] + 2*t[73] + t[74] - 21*t[75] + 15*t[76] - 
       (9*t[77])/4 - 12*t[78] + (31*t[79])/2 + (121*t[80])/4 - 4*t[81] + 
       (13*t[82])/12 - 6*t[83] - (637*t[84])/48 - (89*t[85])/48 + 
       (641*t[86])/24 + (449*t[87])/48 + (449*t[88])/96 - (435*t[89])/32 - 
       2*t[93] - t[97] + 38*t[98] - 40*t[99] - 78*t[100] + t[102]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (3*t[1] - (3*t[2])/2 + t[3]/12 + (43*t[4])/12 - (287*t[5])/24 + 
       (9*t[6])/4 + (15*t[7])/4 + (41*t[8])/6 + (241*t[9])/8 + t[10]/24 - 
       (23*t[11])/6 - 35*t[12] + (20*t[13])/3 + (53*t[14])/16 - 
       (179*t[15])/16 + 2*t[16] - (14*t[25])/3 + (5*t[26])/3 + 2*t[27] - 
       4*t[28] - 3*t[31] + t[35] + 2*t[36] - 6*t[37] + 3*t[38] - 4*t[39] + 
       3*t[40] - (3*t[43])/2 - 2*t[44] - 2*t[45] + (7*t[46])/3 + 4*t[47] - 
       (27*t[48])/4 + (179*t[49])/24 - (61*t[50])/12 - (331*t[51])/48 + 
       (61*t[52])/12 - (227*t[53])/24 + 3*t[54] - (25*t[59])/4 + 
       (2465*t[60])/48 + (387*t[61])/16 - (3085*t[62])/48 - (1085*t[63])/48 + 
       (431*t[64])/96 - (347*t[65])/6 - (1485*t[66])/16 + (3*t[68])/2 - 
       11*t[69] + 5*t[70] - 5*t[71] - 4*t[72] + 3*t[73] - 2*t[74] - 
       18*t[75] + 14*t[76] - (9*t[77])/4 - 12*t[78] + (49*t[79])/2 + 
       (39*t[80])/4 + 3*t[81] - (37*t[82])/4 - (10*t[83])/3 + 
       (143*t[84])/16 + (1097*t[85])/48 + (671*t[86])/24 - (2305*t[87])/48 - 
       (2305*t[88])/96 + (1243*t[89])/96 + t[97] + 46*t[98] - 40*t[99] - 
       76*t[100] + t[102]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(4*t[1] - (3*t[2])/2 - (91*t[3])/12 + 
       (467*t[4])/12 - (163*t[5])/24 - (15*t[6])/8 - 10*t[7] - 
       (211*t[8])/12 + (93*t[9])/8 + (539*t[10])/24 + (1169*t[11])/24 - 
       (21*t[12])/4 + (289*t[13])/12 + (447*t[14])/16 + (175*t[15])/48 + 
       2*t[16] - (10*t[25])/3 + (13*t[26])/3 + 2*t[27] - 5*t[31] - t[35] - 
       2*t[36] - 4*t[37] - t[38] - 2*t[39] + t[40] - (3*t[43])/2 + 2*t[44] - 
       (4*t[46])/3 - (39*t[48])/8 - (17*t[49])/24 + (179*t[50])/24 + 
       (73*t[51])/48 - (179*t[52])/24 + (17*t[53])/24 - (95*t[54])/8 + 
       (19*t[59])/4 + (1777*t[60])/48 + (911*t[61])/16 - (653*t[62])/12 - 
       (1385*t[63])/24 - (1229*t[64])/96 - (2335*t[65])/24 - 
       (5591*t[66])/48 + t[68] + 12*t[69] - 5*t[70] + 5*t[71] + 21*t[72] - 
       2*t[73] - 3*t[74] + 3*t[75] + 15*t[76] - t[77]/4 + 3*t[79] + 
       (109*t[80])/4 - (3*t[81])/2 - (19*t[82])/4 - (109*t[83])/6 + 
       (61*t[84])/16 + (127*t[85])/48 + (553*t[86])/24 - (1439*t[87])/48 - 
       (1439*t[88])/96 - (1777*t[89])/96 + 2*t[93] - t[97] + 38*t[98] - 
       40*t[99] - 69*t[100] + t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - w]*((-3*t[1])/4 - (21*t[2])/8 - (243*t[3])/16 + 
       (97*t[4])/4 - (39*t[5])/2 + (155*t[6])/32 + (375*t[7])/16 - 
       (3*t[8])/16 + (575*t[9])/8 - (347*t[10])/16 + (1263*t[11])/32 + 
       (35*t[12])/8 + (4645*t[13])/288 + (4805*t[14])/96 - (4741*t[15])/288 + 
       t[17] + 2*t[19] + 4*t[20] + t[21] - 7*t[22] - t[23] - 3*t[24] + 
       t[27] + t[28] + (13*t[29])/4 - (25*t[30])/2 + 4*t[31] + (3*t[32])/2 - 
       (9*t[33])/2 + 3*t[34] + 16*t[35] - t[36]/2 - 3*t[37] - t[38] + 
       (9*t[39])/2 - 2*t[40] + t[41] - t[42] + (9*t[43])/16 - (49*t[44])/8 + 
       (11*t[45])/2 + t[46]/4 - 8*t[47] + (127*t[48])/32 + 6*t[49] - 
       (237*t[50])/32 - (93*t[51])/16 + (301*t[52])/32 - 6*t[53] + 
       (181*t[54])/32 - t[56]/2 - t[57] - (5*t[59])/4 + (815*t[60])/16 - 
       (73*t[61])/16 - (1005*t[62])/16 - (185*t[63])/16 - (223*t[64])/32 - 
       (367*t[65])/6 - (3215*t[66])/48 + (3*t[68])/2 - t[69] - 4*t[72] + 
       8*t[73] - 7*t[74] - 13*t[75] + 14*t[76] - (9*t[77])/4 - 12*t[78] + 
       (39*t[79])/2 + (39*t[80])/4 + t[81]/2 - (27*t[82])/4 - (5*t[83])/2 + 
       (143*t[84])/16 + (439*t[85])/16 + (317*t[86])/8 - (815*t[87])/16 - 
       (815*t[88])/32 + (381*t[89])/32 + t[97] + 46*t[98] - 40*t[99] - 
       66*t[100] + t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - u]*((-19*t[1])/4 - (35*t[2])/8 - (593*t[3])/48 + 
       (69*t[4])/4 + (1921*t[5])/48 + (1231*t[6])/96 - (65*t[7])/16 - 
       (99*t[8])/16 - (121*t[9])/16 - (1313*t[10])/48 + (3115*t[11])/96 - 
       (43*t[12])/48 + (3901*t[13])/288 - (1781*t[14])/288 + (245*t[15])/72 + 
       (5*t[17])/2 - 3*t[19] + 14*t[20] + 2*t[21] - 7*t[22] - 2*t[23] + 
       7*t[24] - 2*t[27] + 6*t[28] - (13*t[29])/4 - (9*t[30])/2 + 
       (20*t[31])/3 + (5*t[32])/2 + (3*t[33])/2 - 3*t[34] - 9*t[35] + 
       (13*t[36])/2 + 16*t[37] + t[38] - t[39]/2 + 2*t[40] - t[41]/2 + 
       t[42]/2 + (409*t[43])/48 - (7*t[44])/8 + (13*t[45])/2 - (5*t[46])/4 - 
       8*t[47] + (357*t[48])/32 + (5*t[49])/6 - (989*t[50])/96 + 
       (9*t[51])/16 + (797*t[52])/96 - (5*t[53])/6 - (1051*t[54])/96 - 
       t[56]/2 + t[57] - t[59]/4 + (277*t[60])/48 + (651*t[61])/16 + 
       (859*t[62])/24 - (95*t[63])/4 - (603*t[64])/32 - (485*t[65])/8 - 
       (5053*t[66])/144 + t[68] + 2*t[69] + t[72] + 13*t[73] + 2*t[74] - 
       2*t[75] + 15*t[76] - t[77]/4 - 22*t[79] - (51*t[80])/4 + t[81] - 
       (247*t[82])/12 - 19*t[83] - (137*t[84])/48 + (227*t[85])/48 - 
       (1727*t[86])/24 + (301*t[87])/48 + (301*t[88])/96 + (961*t[89])/32 + 
       2*t[93] - t[97] + 38*t[98] - 40*t[99] + 61*t[100] + t[102]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-4*t[1] + 3*t[2] - (19*t[3])/4 - (13*t[4])/4 + (31*t[5])/8 + 
       (199*t[6])/8 - (31*t[7])/2 + (173*t[8])/4 - (219*t[9])/8 - 
       (295*t[10])/8 + (105*t[11])/8 + (25*t[12])/4 + (2*t[13])/9 - 
       (899*t[14])/48 + (427*t[15])/48 + t[16] - 3*t[25] + 2*t[26] - 
       2*t[27] - 8*t[28] + 5*t[31] + 5*t[35] + 6*t[36] + 5*t[37] + t[38] - 
       6*t[39] + 3*t[40] + (11*t[43])/2 - 2*t[44] - 4*t[45] + 2*t[46] + 
       8*t[47] + (23*t[48])/8 - (27*t[49])/8 - (105*t[50])/8 - 
       (33*t[51])/16 + (105*t[52])/8 + (27*t[53])/8 + (127*t[54])/8 - 
       (13*t[59])/4 - (801*t[60])/16 - (265*t[61])/16 + (161*t[62])/2 - 
       (297*t[63])/8 + (1057*t[64])/32 - (877*t[65])/24 + (785*t[66])/48 + 
       t[68] - 2*t[69] - 23*t[72] + 22*t[73] + t[74] - 21*t[75] + 15*t[76] - 
       (9*t[77])/4 - 12*t[78] - (29*t[79])/2 - (39*t[80])/4 - 4*t[81] - 
       (49*t[82])/4 - 6*t[83] - (319*t[84])/16 + (77*t[85])/16 - 
       (453*t[86])/8 + (683*t[87])/16 + (683*t[88])/32 + (1085*t[89])/32 - 
       2*t[93] - t[97] + 38*t[98] - 40*t[99] + 62*t[100] + t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      (-3*t[1] + (23*t[2])/4 + (373*t[3])/48 - 23*t[4] + (371*t[5])/24 - 
       (129*t[6])/16 - (147*t[7])/8 - (3*t[8])/8 - 65*t[9] - (121*t[10])/3 + 
       (299*t[11])/48 + (269*t[12])/6 - (497*t[13])/144 - (5069*t[14])/144 + 
       (23587*t[15])/864 - 5*t[16] - 2*t[19] + t[23]/3 + 3*t[25] - 2*t[26] - 
       4*t[27] - 4*t[28] + (9*t[29])/8 - (71*t[30])/12 + (13*t[31])/3 - 
       t[32]/4 + t[33]/4 - 2*t[34] + 11*t[36] + 6*t[37] - t[38] - 
       (5*t[39])/2 - 2*t[40] - t[41] + t[42] + (49*t[43])/6 + 
       (227*t[44])/24 + (11*t[46])/2 - (107*t[48])/48 - (97*t[49])/3 - 
       (13*t[50])/16 + (113*t[51])/8 + (13*t[52])/16 + (97*t[53])/3 + 
       (829*t[54])/48 + t[59]/4 - (3157*t[60])/48 - (721*t[61])/16 + 
       (817*t[62])/8 - (271*t[63])/4 - (18269*t[64])/96 + (5927*t[65])/72 + 
       (8903*t[66])/144 + (17*t[68])/2 + 5*t[69] + t[72] - 59*t[73] - 
       5*t[74] + 49*t[75] - (313*t[76])/6 - (19*t[77])/4 + (22*t[78])/3 - 
       27*t[79] - (57*t[80])/4 - (22*t[81])/3 + (121*t[82])/12 + 
       (15*t[83])/2 - (1435*t[84])/48 - (53*t[85])/16 - (841*t[86])/24 + 
       (1009*t[87])/16 + (1009*t[88])/32 - (2339*t[89])/96 - t[97] - 
       26*t[98] + 32*t[99] + 105*t[100] + t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-7*t[1])/4 - (49*t[2])/8 + (3503*t[3])/48 - (481*t[4])/24 + 
       (659*t[5])/12 + (1781*t[6])/96 + (259*t[7])/16 + (13*t[8])/16 - 
       (647*t[9])/8 + (355*t[10])/16 - (1091*t[11])/96 + (451*t[12])/24 + 
       (6145*t[13])/288 - (8197*t[14])/144 + (6839*t[15])/288 - (3*t[17])/2 - 
       (53*t[19])/9 - 5*t[20] - 10*t[21] + 9*t[22] + 10*t[23] - 20*t[24] + 
       2*t[26] - 3*t[27] - 17*t[28] - (15*t[29])/4 - (5*t[30])/2 - 
       (2*t[31])/3 + (3*t[32])/2 + (3*t[33])/2 - 5*t[34] + 11*t[35] - 
       (3*t[36])/2 + (7*t[37])/2 - t[38] - (31*t[39])/2 + 4*t[40] - 9*t[41] + 
       9*t[42] + (359*t[43])/48 + (127*t[44])/8 - (55*t[45])/2 - 
       (8*t[46])/3 + 28*t[47] - (629*t[48])/32 + (28*t[49])/3 - 
       (211*t[50])/96 - (85*t[51])/32 - (77*t[52])/96 - (115*t[53])/12 - 
       (5425*t[54])/96 + t[56]/2 + 3*t[57] + t[59]/4 - (3157*t[60])/48 - 
       (721*t[61])/16 + (817*t[62])/8 - (271*t[63])/4 - (18269*t[64])/96 + 
       (5927*t[65])/72 + (8903*t[66])/144 + (17*t[68])/2 + 5*t[69] + t[72] - 
       59*t[73] - 5*t[74] + 49*t[75] - (313*t[76])/6 - (19*t[77])/4 + 
       (22*t[78])/3 - 27*t[79] - (57*t[80])/4 - (22*t[81])/3 + 
       (121*t[82])/12 + (15*t[83])/2 - (1435*t[84])/48 - (53*t[85])/16 - 
       (841*t[86])/24 + (1009*t[87])/16 + (1009*t[88])/32 - (2339*t[89])/96 - 
       t[97] - 26*t[98] + 32*t[99] + 105*t[100] + t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((289*t[1])/72 - (2413*t[2])/144 + (1639*t[3])/96 - (4835*t[4])/288 + 
       (1175*t[5])/24 - (1697*t[6])/64 + (1451*t[7])/32 + (2413*t[8])/288 - 
       (2821*t[9])/144 - (2347*t[10])/576 + (2947*t[11])/64 + 
       (7531*t[12])/576 + (75083*t[13])/5184 + (26789*t[14])/1152 + 
       (629*t[15])/216 - t[17]/6 + t[19] + 4*t[20] - 3*t[22] - (11*t[24])/3 - 
       (9*t[26])/2 - (41*t[27])/9 - (61*t[28])/18 + (85*t[29])/72 - 
       (155*t[30])/36 + (101*t[31])/9 + (91*t[32])/12 - (85*t[33])/12 + 
       (25*t[34])/9 + (47*t[35])/2 + (127*t[36])/12 - (5*t[37])/3 + 
       (47*t[38])/18 + (23*t[39])/6 - (13*t[40])/6 + (79*t[41])/36 - 
       (79*t[42])/36 + (2009*t[43])/288 - (1697*t[44])/144 - (33*t[45])/2 - 
       (103*t[46])/24 + (191*t[47])/12 - (7189*t[48])/576 + (1521*t[49])/64 - 
       (16609*t[50])/576 - (2275*t[51])/384 + (13601*t[52])/576 - 
       (6905*t[53])/576 - (14297*t[54])/576 - t[55]/12 - t[56]/4 - t[57]/2 - 
       (11*t[58])/6 + (13*t[59])/36 - (283*t[60])/48 + (343*t[61])/12 - 
       (32351*t[62])/288 + (4879*t[63])/288 + (937*t[64])/9 - 
       (892*t[65])/27 - (3043*t[66])/216 + (11*t[68])/6 + 4*t[69] + t[70]/3 - 
       t[71]/3 + (61*t[72])/18 - (91*t[73])/6 - (29*t[74])/2 + 
       (107*t[75])/6 + (1355*t[76])/36 + (5*t[77])/9 - (1885*t[78])/36 - 
       (205*t[79])/12 + (1585*t[80])/36 + (95*t[81])/36 + (29*t[82])/4 + 
       (13*t[83])/12 - (2023*t[84])/36 - (451*t[85])/72 + (5231*t[86])/72 - 
       (5225*t[87])/144 - (5249*t[88])/288 - (1367*t[89])/288 + t[91]/24 + 
       t[93]/2 + (16*t[95])/3 + (52*t[96])/3 + (133*t[97])/9 + 
       (754*t[98])/3 - (769*t[99])/3 - (7*t[100])/3 + (3*t[102])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((13*t[1])/8 - (167*t[2])/16 + (119*t[3])/12 - (13*t[4])/8 - 
       (523*t[5])/96 - (393*t[6])/8 - (5*t[7])/16 - (261*t[8])/4 - 
       (485*t[9])/32 + (765*t[10])/32 + (1117*t[11])/48 + (27*t[12])/8 + 
       (111*t[13])/32 - (4015*t[14])/96 + (1387*t[15])/192 - (5*t[16])/12 - 
       (11*t[25])/6 - (35*t[26])/6 - (11*t[27])/6 - 4*t[28] - t[29]/2 + 
       2*t[30] + (7*t[31])/2 - (5*t[32])/4 + (5*t[33])/4 - t[34]/2 - 
       t[35]/2 - (67*t[36])/12 + (8*t[37])/3 + (41*t[38])/12 - 
       (97*t[39])/12 + (67*t[40])/12 + (3*t[41])/4 - (3*t[42])/4 - 
       (11*t[43])/8 + (5*t[44])/2 + (63*t[45])/16 + (157*t[46])/24 - 
       (81*t[47])/8 - (1141*t[48])/48 + (637*t[49])/96 - (217*t[50])/48 - 
       (37*t[51])/96 - (117*t[52])/16 - (37*t[53])/96 - 8*t[54] - 2*t[58] + 
       (4*t[59])/3 - (31*t[60])/4 - (1321*t[61])/48 - (93*t[62])/4 + 
       (109*t[63])/8 - (1637*t[64])/96 - (177*t[65])/16 + (279*t[66])/16 + 
       (5*t[68])/6 - (3*t[69])/2 + t[70]/3 - t[71]/3 + (7*t[72])/2 - 
       (19*t[73])/2 + 7*t[74] + 13*t[75] + (155*t[76])/12 + (29*t[77])/6 - 
       (149*t[78])/12 - (13*t[79])/4 - (23*t[80])/12 + (17*t[81])/12 - 
       (23*t[82])/4 - 4*t[83] - (405*t[84])/16 - (353*t[85])/48 + 
       (7*t[86])/8 - (707*t[87])/24 - (237*t[88])/16 - (175*t[89])/24 + 
       t[91]/24 - t[93]/2 + (16*t[95])/3 + (43*t[96])/6 + (20*t[97])/3 + 
       128*t[98] - 139*t[99] + 12*t[100] + (3*t[102])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((13*t[1])/24 + (125*t[2])/16 - (277*t[3])/96 + (13*t[4])/12 + 
       (419*t[5])/48 + (2017*t[6])/96 - (1039*t[7])/32 + (1895*t[8])/32 + 
       (1967*t[9])/96 + (4129*t[10])/96 - (757*t[11])/48 + (15*t[12])/2 - 
       (19981*t[13])/1728 + (4151*t[14])/144 - (1679*t[15])/216 - 
       (7*t[17])/6 - t[19]/2 - (7*t[20])/2 + t[21]/2 + 9*t[22] - t[23]/2 + 
       (4*t[24])/3 - (10*t[27])/3 + 8*t[28] + (83*t[29])/12 + (19*t[30])/6 - 
       (2*t[31])/3 - (19*t[32])/4 + (19*t[33])/4 + 7*t[34] - (9*t[35])/2 - 
       (19*t[36])/4 - t[37] - (25*t[38])/12 + (43*t[39])/8 - (109*t[40])/12 + 
       t[41]/3 - t[42]/3 - (449*t[43])/96 - (223*t[44])/16 - 13*t[45] - 
       (101*t[46])/24 + (115*t[47])/12 + (281*t[48])/12 + (857*t[49])/48 - 
       (1123*t[50])/48 - (83*t[51])/12 + (1555*t[52])/48 - (227*t[53])/16 + 
       (169*t[54])/24 - t[55]/12 + (3*t[56])/4 + (3*t[57])/2 + (5*t[59])/4 - 
       (267*t[60])/16 - (1055*t[61])/24 - (1801*t[62])/96 + (797*t[63])/96 - 
       (743*t[64])/48 - (535*t[65])/72 + (191*t[66])/9 + (5*t[68])/6 - 
       (5*t[69])/2 + t[70]/3 - t[71]/3 + (23*t[72])/6 - (25*t[73])/2 + 
       7*t[74] + 14*t[75] + (23*t[76])/4 + (19*t[77])/6 - (61*t[78])/12 - 
       (9*t[79])/4 - (9*t[80])/4 - (5*t[81])/4 - (17*t[82])/4 - (5*t[83])/2 - 
       (127*t[84])/6 - (71*t[85])/8 + (205*t[86])/24 - (1007*t[87])/48 - 
       (1015*t[88])/96 - (1091*t[89])/96 + t[91]/24 - t[93]/2 + 
       (16*t[95])/3 + (31*t[96])/6 + (29*t[97])/6 + 82*t[98] - 93*t[99] + 
       19*t[100] + (3*t[102])/2) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((263*t[1])/72 - (1775*t[2])/144 + (3593*t[3])/144 - 
       (375*t[4])/32 + (13201*t[5])/288 - (17887*t[6])/576 - (76*t[7])/9 + 
       (613*t[8])/16 - (827*t[9])/18 - (15727*t[10])/576 - (9629*t[11])/576 - 
       (12253*t[12])/576 + (8203*t[13])/1296 - (101525*t[14])/3456 - 
       (62201*t[15])/5184 - t[16]/6 - (4*t[25])/3 - (17*t[26])/3 - 
       (49*t[27])/18 - (27*t[28])/2 + (121*t[29])/36 - (83*t[30])/12 - 
       (68*t[31])/9 + (55*t[32])/36 - (55*t[33])/36 - (53*t[34])/18 + 
       (79*t[35])/6 + (23*t[36])/4 - (43*t[37])/6 + (67*t[38])/18 - 
       (821*t[39])/72 + (257*t[40])/24 + (35*t[41])/36 - (35*t[42])/36 - 
       (35*t[43])/72 - (7*t[44])/18 - (141*t[45])/16 - (163*t[46])/24 + 
       (1307*t[47])/72 - (9*t[48])/64 + (15587*t[49])/576 - 
       (13913*t[50])/576 - (301*t[51])/1152 + (7993*t[52])/576 - 
       (1307*t[53])/64 + (1781*t[54])/192 - (3*t[58])/2 + t[59]/18 - 
       (116*t[60])/3 - (507*t[61])/16 - (13805*t[62])/144 - (371*t[63])/144 + 
       (31645*t[64])/288 - (8519*t[65])/432 - (91*t[66])/432 + (11*t[68])/6 + 
       t[69]/3 + t[70]/3 - t[71]/3 + (83*t[72])/18 - (157*t[73])/6 - 
       (29*t[74])/2 + (43*t[75])/2 + (409*t[76])/36 - (50*t[77])/9 - 
       (917*t[78])/36 - (161*t[79])/12 + (1541*t[80])/36 - (257*t[81])/36 + 
       (51*t[82])/4 + (79*t[83])/12 - (5903*t[84])/144 - (1705*t[85])/144 + 
       (7255*t[86])/72 - (187*t[87])/36 - (193*t[88])/72 - (1417*t[89])/72 + 
       t[91]/24 + t[93]/2 + (16*t[95])/3 + 10*t[96] + (145*t[97])/18 + 
       (248*t[98])/3 - (263*t[99])/3 + (70*t[100])/3 + (3*t[102])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      (-t[1]/4 - (27*t[2])/4 + (29*t[3])/36 + (2737*t[4])/288 - 
       (119*t[5])/36 + (277*t[6])/576 + (92*t[7])/3 - (919*t[8])/144 + 
       (281*t[9])/18 - (13549*t[10])/576 + (16943*t[11])/576 - 
       (2423*t[12])/576 + (5719*t[13])/864 + (1239*t[14])/128 - 
       (5315*t[15])/576 - (19*t[20])/36 - t[22]/4 + (5*t[24])/12 + t[25]/4 - 
       t[26]/4 + t[27]/2 - (109*t[28])/18 - (41*t[29])/24 - (17*t[30])/36 + 
       t[31]/4 + 2*t[32] - (91*t[33])/36 + (31*t[35])/6 + 5*t[36] + 
       (17*t[37])/12 - 2*t[39] + t[40] + t[41]/2 - t[42]/2 + (37*t[43])/12 + 
       (163*t[44])/36 - 5*t[45] - (191*t[46])/48 + 11*t[47] - 
       (1927*t[48])/576 + (1601*t[49])/576 - (103*t[50])/576 + 
       (757*t[51])/1152 + (103*t[52])/576 - (1601*t[53])/576 - 
       (1361*t[54])/192 - t[59]/12 - (869*t[60])/72 + (583*t[61])/24 - 
       (6643*t[62])/144 + (331*t[63])/144 + (9073*t[64])/144 - 
       (613*t[65])/24 - (973*t[66])/24 + (5*t[69])/6 - (5*t[70])/12 + 
       (5*t[71])/12 + 2*t[72] - 5*t[73] - (53*t[74])/12 - (7*t[75])/2 + 
       4*t[76] - (7*t[77])/2 - 10*t[78] - (197*t[79])/12 + 15*t[80] - 
       t[81]/2 - (19*t[82])/3 - (149*t[83])/72 - (19*t[84])/6 + 
       (157*t[85])/18 + (1147*t[86])/36 + (98*t[87])/9 + (49*t[88])/9 + 
       (1727*t[89])/144 + 36*t[98] - 32*t[99] - (61*t[100])/3 + 2*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-11*t[1])/6 + (13*t[2])/3 - (257*t[3])/4 + (91*t[4])/2 - 
       (331*t[5])/24 - (665*t[6])/16 + (331*t[7])/2 - (806*t[8])/3 + 
       181*t[9] + (145*t[10])/8 + (1753*t[11])/16 + (235*t[12])/6 + 
       (2647*t[13])/36 + (2353*t[14])/24 + (535*t[15])/24 + 3*t[25] - 
       6*t[26] + 6*t[28] - (68*t[29])/3 - (31*t[30])/3 + 9*t[31] + 
       (2*t[32])/3 + (31*t[34])/3 - 13*t[35] - 9*t[36] - 4*t[37] + t[38]/3 + 
       (29*t[39])/3 - 6*t[40] - t[43]/2 + (527*t[44])/6 - (10*t[45])/3 + 
       9*t[46] - (16*t[47])/3 - (4373*t[48])/48 - (161*t[49])/24 + 
       (1003*t[50])/48 - (425*t[51])/48 - (1723*t[52])/48 + (413*t[53])/24 - 
       (621*t[54])/16 - 3*t[58] + (51*t[59])/4 + (11069*t[60])/48 - 
       (77*t[61])/16 - (3217*t[62])/16 + (5969*t[63])/48 - (11323*t[64])/32 + 
       (125*t[65])/6 - (2885*t[66])/144 - (3*t[68])/2 + 7*t[69] - 9*t[72] - 
       39*t[73] + (31*t[74])/3 + 48*t[75] + (154*t[76])/3 + (75*t[77])/4 - 
       (395*t[78])/3 + 48*t[79] + (149*t[80])/4 + (121*t[81])/3 + 
       (51*t[82])/4 - 36*t[83] + (99*t[84])/16 + (2921*t[85])/48 + 
       (355*t[86])/8 - (11725*t[87])/48 - (11485*t[88])/96 - 
       (2699*t[89])/32 - (8*t[95])/3 + 18*t[96] + (85*t[97])/3 + 442*t[98] - 
       322*t[99] - 215*t[100] + 3*t[102]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*((-65*t[1])/12 + 
       (1159*t[2])/24 + (1097*t[3])/16 - (263*t[4])/3 + (1057*t[5])/12 - 
       (3899*t[6])/96 + (813*t[7])/16 - (7975*t[8])/48 + (677*t[9])/12 + 
       (1951*t[10])/48 - (10027*t[11])/96 + 38*t[12] - (45517*t[13])/288 + 
       (601*t[14])/288 - (25855*t[15])/288 - 3*t[17] - (16*t[19])/9 + 
       3*t[20] + 2*t[21] - 6*t[22] - 2*t[23] - 3*t[24] - (8*t[26])/3 + 
       17*t[27] - 15*t[28] + (29*t[29])/4 + (75*t[30])/2 - 28*t[31] + 
       (13*t[32])/2 - (31*t[33])/2 + (124*t[34])/3 - 7*t[35] - (71*t[36])/6 - 
       7*t[37] - (29*t[38])/3 - 11*t[39] - (28*t[40])/3 + (4*t[41])/3 - 
       (4*t[42])/3 - (173*t[43])/16 - (95*t[44])/8 - 87*t[45] + 
       (45*t[46])/4 + (147*t[47])/2 - (4363*t[48])/96 + (707*t[49])/24 - 
       (1367*t[50])/96 - (515*t[51])/12 + (2839*t[52])/96 - (659*t[53])/24 - 
       (3193*t[54])/96 + (3*t[56])/2 - 3*t[57] - (4*t[58])/3 + (49*t[59])/4 + 
       (8495*t[60])/48 - (1655*t[61])/16 - (1393*t[62])/8 + (1109*t[63])/12 - 
       (11021*t[64])/32 + (341*t[65])/8 + (385*t[66])/144 - (3*t[68])/2 + 
       t[69] - 7*t[72] - 57*t[73] + (31*t[74])/3 + 54*t[75] + (25*t[76])/3 + 
       (35*t[77])/4 - (263*t[78])/3 + 54*t[79] + (141*t[80])/4 + 
       (73*t[81])/3 + (87*t[82])/4 - 27*t[83] + (497*t[84])/16 + 
       (2483*t[85])/48 + (723*t[86])/8 - (9283*t[87])/48 - (9043*t[88])/96 - 
       (3481*t[89])/32 - (8*t[95])/3 + 6*t[96] + (52*t[97])/3 + 166*t[98] - 
       46*t[99] - 173*t[100] + 3*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((-53*t[1])/12 + 
       (359*t[2])/24 - (275*t[3])/36 + (893*t[4])/48 - (1201*t[5])/18 + 
       (1139*t[6])/144 + (53*t[7])/2 - (197*t[8])/8 + (1127*t[9])/12 - 
       (12937*t[10])/288 + (9857*t[11])/144 + (2923*t[12])/288 - 
       (3635*t[13])/432 + (112403*t[14])/1728 - (2653*t[15])/864 - 
       (4*t[16])/3 - t[17] - (8*t[18])/3 + 4*t[19] - 5*t[20] - (14*t[21])/3 - 
       (14*t[22])/3 + (14*t[23])/3 - 4*t[24] - 6*t[25] - (5*t[26])/3 - 
       (22*t[27])/3 - 13*t[28] - (11*t[29])/6 - 7*t[30] + (26*t[31])/9 - 
       (5*t[32])/2 + t[33]/6 + (26*t[34])/3 + 9*t[35] - 13*t[36] - 
       (41*t[37])/3 - 6*t[38] - 10*t[39] + t[40]/6 - (7*t[41])/6 - t[42]/6 + 
       (133*t[43])/36 + t[44]/2 - (17*t[45])/8 - (47*t[46])/12 - 
       (53*t[47])/12 - (195*t[48])/16 + (4577*t[49])/288 + (1373*t[50])/144 + 
       (21*t[51])/64 - (941*t[52])/144 - (5489*t[53])/288 + (131*t[54])/72 - 
       t[58]/3 + 6*t[59] + (665*t[60])/72 + (2029*t[61])/24 - 
       (3229*t[62])/36 + (665*t[63])/6 - (2019*t[64])/16 - (763*t[65])/9 - 
       (7013*t[66])/216 + (5*t[67])/6 + (9*t[68])/2 - 6*t[69] + 
       (10*t[70])/3 - (10*t[71])/3 + (5*t[72])/3 - 38*t[73] + (19*t[74])/3 + 
       21*t[75] - (2*t[76])/3 - (2*t[77])/3 + (83*t[78])/3 + (19*t[79])/6 + 
       (59*t[80])/2 - 3*t[81] + (19*t[82])/18 + 51*t[83] - (175*t[84])/72 + 
       (697*t[85])/72 + (3239*t[86])/36 - (1651*t[87])/72 - 
       (1651*t[88])/144 - (1507*t[89])/16 + t[91]/6 + t[92]/6 - 2*t[93] - 
       (5*t[94])/6 - 4*t[96] - (2*t[97])/3 - 34*t[98] + 100*t[99] - 
       152*t[100] + 3*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-t[1]/2 + (55*t[2])/4 - (575*t[3])/12 - 
       (167*t[4])/4 - (1601*t[5])/24 + (2423*t[6])/24 - (443*t[7])/12 + 
       (796*t[8])/3 - (15*t[9])/8 + (453*t[10])/8 - (691*t[11])/8 + 
       (611*t[12])/12 - (1981*t[13])/36 + (4103*t[14])/144 + 
       (27395*t[15])/432 + 12*t[19] - t[23] - 13*t[25] + 10*t[26] + 9*t[28] + 
       (59*t[29])/4 + (127*t[30])/6 - 12*t[31] - (13*t[32])/6 + 
       (13*t[33])/6 + (10*t[34])/3 - 19*t[35] + 6*t[36] - t[37] + 3*t[38] - 
       (7*t[39])/2 + (19*t[40])/3 + 6*t[41] - 6*t[42] - t[43]/2 - 
       (227*t[44])/6 + 8*t[46] + (1471*t[48])/24 - (475*t[49])/8 - 
       (233*t[50])/24 + (343*t[51])/16 + (233*t[52])/24 + (475*t[53])/8 + 
       (1057*t[54])/8 + (29*t[59])/12 - (4133*t[60])/48 - (539*t[61])/16 - 
       (1765*t[62])/24 + (79*t[63])/3 - (1061*t[64])/32 + (22673*t[65])/72 + 
       (8287*t[66])/48 + 3*t[68] + t[69] + 12*t[72] - 77*t[73] + 15*t[74] + 
       36*t[75] - (43*t[76])/3 + (15*t[77])/4 - (178*t[78])/3 + 
       (43*t[79])/2 + (177*t[80])/4 + (20*t[81])/3 + (13*t[82])/4 - 
       (109*t[83])/2 + (2215*t[84])/48 + (691*t[85])/48 - (177*t[86])/8 + 
       (511*t[87])/16 + (511*t[88])/32 + (12469*t[89])/96 + 3*t[97] + 
       122*t[98] - 144*t[99] - 148*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-65*t[1])/12 + (533*t[2])/24 + (569*t[3])/24 - (269*t[4])/48 + 
       (91*t[5])/24 - (57*t[6])/8 + (953*t[7])/24 - (76*t[8])/3 + 
       (151*t[9])/24 - (2173*t[10])/96 + (919*t[11])/24 + (167*t[12])/96 - 
       (4741*t[13])/432 - (8909*t[14])/576 + (1657*t[15])/96 - (7*t[16])/6 + 
       t[17]/3 - (2*t[18])/3 - 4*t[19] + (4*t[21])/3 - 5*t[22] - 
       (4*t[23])/3 + (7*t[24])/3 - 4*t[25] - t[26] - (2*t[27])/3 - 
       (11*t[28])/3 + (2*t[29])/3 + (28*t[30])/3 - 2*t[31] - (17*t[32])/6 + 
       (17*t[33])/6 + (17*t[34])/3 - 15*t[35] - (10*t[36])/3 - (7*t[37])/3 - 
       (13*t[38])/3 - (35*t[39])/6 + t[40]/3 - (5*t[41])/3 + (4*t[42])/3 + 
       (25*t[43])/24 + (8*t[44])/3 + (35*t[45])/24 - (15*t[46])/4 - 
       (49*t[47])/4 - (551*t[48])/24 + (427*t[49])/32 + (397*t[50])/24 + 
       t[51]/192 - (461*t[52])/24 - (1297*t[53])/96 - (1283*t[54])/48 - 
       t[56]/3 + (4*t[57])/3 - (5*t[58])/3 + 6*t[59] + (95*t[60])/24 + 
       (1849*t[61])/24 - (893*t[62])/12 + (355*t[63])/3 - (6197*t[64])/48 - 
       (713*t[65])/9 - (1051*t[66])/72 + (5*t[67])/6 + (9*t[68])/2 - 
       6*t[69] + (10*t[70])/3 - (10*t[71])/3 - (5*t[72])/3 - (104*t[73])/3 + 
       (19*t[74])/3 + 21*t[75] - (2*t[76])/3 - (2*t[77])/3 + (83*t[78])/3 - 
       (11*t[79])/6 + (137*t[80])/6 - 3*t[81] - (7*t[82])/6 + 51*t[83] - 
       (85*t[84])/24 + (259*t[85])/24 + (913*t[86])/12 - (139*t[87])/8 - 
       (139*t[88])/16 - (4141*t[89])/48 + t[91]/6 + t[92]/6 - 2*t[93] - 
       (5*t[94])/6 - 4*t[96] - (2*t[97])/3 - 34*t[98] + 100*t[99] - 
       (386*t[100])/3 + 3*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-61*t[1])/12 + (275*t[2])/8 + 
       (219*t[3])/16 - (311*t[4])/3 - (119*t[5])/8 + (4607*t[6])/96 + 
       (705*t[7])/16 + (999*t[8])/16 + (1139*t[9])/12 - (4837*t[10])/48 + 
       (347*t[11])/96 + (1553*t[12])/24 + (1781*t[13])/96 + 
       (7147*t[14])/288 - (597*t[15])/32 - 3*t[17] + (17*t[19])/3 - 
       30*t[20] - t[21] + 15*t[22] + t[23] - 3*t[24] + (19*t[26])/3 + 
       7*t[27] + 4*t[28] + (11*t[29])/4 - (55*t[30])/2 - 46*t[31] - 
       (3*t[32])/2 - (21*t[33])/2 + 10*t[34] - 61*t[35] + (3*t[36])/2 + 
       11*t[37] - (25*t[38])/3 + (21*t[39])/2 - 15*t[40] - t[41] + t[42] - 
       (53*t[43])/16 + (29*t[44])/8 - (147*t[45])/2 + (27*t[46])/4 + 
       85*t[47] + (929*t[48])/32 - (1277*t[49])/24 + (61*t[50])/32 + 
       (19*t[51])/4 + (739*t[52])/32 + (367*t[53])/8 + (35*t[54])/32 + 
       (3*t[56])/2 - 3*t[57] + 3*t[58] + (23*t[59])/12 - (6707*t[60])/48 - 
       (2117*t[61])/16 - (2237*t[62])/48 - (269*t[63])/48 - (759*t[64])/32 + 
       (12121*t[65])/36 + (9377*t[66])/48 + 3*t[68] - 5*t[69] + 14*t[72] - 
       95*t[73] + 15*t[74] + 42*t[75] - (172*t[76])/3 - (25*t[77])/4 - 
       (46*t[78])/3 + (55*t[79])/2 + (169*t[80])/4 - (28*t[81])/3 + 
       (49*t[82])/4 - (91*t[83])/2 + (3409*t[84])/48 + (253*t[85])/48 + 
       (191*t[86])/8 + (1325*t[87])/16 + (1325*t[88])/32 + (10123*t[89])/96 - 
       12*t[96] - 8*t[97] - 154*t[98] + 132*t[99] - 106*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-29*t[1])/12 - (39*t[2])/4 - (163*t[3])/48 - (553*t[4])/16 + 
       (743*t[5])/32 - (3205*t[6])/96 + (971*t[7])/48 - (779*t[8])/16 + 
       (301*t[9])/96 + (1573*t[10])/96 + (3665*t[11])/96 + (569*t[12])/48 + 
       (2069*t[13])/864 + (9679*t[14])/192 + (10255*t[15])/576 + 
       (5*t[16])/3 + 2*t[25] + (5*t[26])/3 + 3*t[27] + 4*t[28] - 
       (5*t[29])/2 + (19*t[30])/2 - (13*t[31])/3 + t[32]/2 - t[33]/2 - 
       2*t[35] + (5*t[36])/2 - (4*t[37])/3 - (14*t[38])/3 + (7*t[39])/6 + 
       (43*t[40])/12 + (215*t[43])/24 + t[44]/4 + (65*t[45])/12 + 
       (19*t[46])/4 - (34*t[47])/3 - (2453*t[48])/96 - (523*t[49])/96 + 
       (271*t[50])/96 + (101*t[51])/64 - (1199*t[52])/96 + (409*t[53])/32 + 
       (405*t[54])/32 - 2*t[58] + (71*t[59])/12 + (1417*t[60])/24 + 
       (813*t[61])/8 - (967*t[62])/12 + (232*t[63])/3 - (1751*t[64])/16 - 
       (722*t[65])/9 - (2987*t[66])/36 - 5*t[68] - (4*t[70])/3 + 
       (4*t[71])/3 + (40*t[72])/3 - (209*t[73])/6 - (2*t[74])/3 + 27*t[75] + 
       (29*t[76])/3 - t[77]/2 - (46*t[78])/3 - (14*t[79])/3 + 39*t[80] - 
       (3*t[81])/2 + (32*t[82])/3 + (13*t[83])/2 - (113*t[84])/12 - 
       (49*t[85])/2 - 11*t[86] - (863*t[87])/12 - (333*t[88])/8 - 
       (2641*t[89])/48 + (16*t[95])/3 + (22*t[96])/3 + (29*t[97])/6 + 
       58*t[98] - 20*t[99] - (313*t[100])/3 + 3*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-5*t[1])/3 + (115*t[2])/12 + (2957*t[3])/144 + (1397*t[4])/48 + 
       (8503*t[5])/288 + (2483*t[6])/288 + (513*t[7])/16 - (275*t[8])/16 + 
       (1243*t[9])/32 - (3341*t[10])/288 + (11813*t[11])/288 + 
       (1057*t[12])/144 + (9029*t[13])/864 + (111475*t[14])/1728 - 
       (1363*t[15])/1728 + t[17] + 2*t[19] + 6*t[20] + 4*t[21] - 16*t[22] - 
       4*t[23] + (10*t[24])/3 - (20*t[27])/3 - 6*t[28] + 10*t[29] + 
       (5*t[30])/3 + (34*t[31])/9 - (25*t[32])/6 + t[33] + (43*t[34])/6 - 
       10*t[35] - (35*t[36])/3 - 2*t[37] - 3*t[38] + (25*t[39])/6 - 
       (17*t[40])/4 + (43*t[41])/12 - (43*t[42])/12 - (5*t[43])/72 - 
       (17*t[44])/6 - (287*t[45])/12 - (67*t[46])/12 + (34*t[47])/3 + 
       (589*t[48])/96 + (7099*t[49])/288 + (1475*t[50])/288 - 
       (1513*t[51])/192 + (685*t[52])/288 - (5947*t[53])/288 - 
       (4457*t[54])/288 - (2*t[55])/3 - t[56] - 4*t[57] + (71*t[59])/12 + 
       (3871*t[60])/72 + (753*t[61])/8 - (2351*t[62])/36 + (509*t[63])/6 - 
       (5393*t[64])/48 - (224*t[65])/3 - (7031*t[66])/108 - 5*t[68] - 
       (4*t[70])/3 + (4*t[71])/3 + 10*t[72] - (63*t[73])/2 - (2*t[74])/3 + 
       27*t[75] + (29*t[76])/3 - t[77]/2 - (46*t[78])/3 - (29*t[79])/3 + 
       (97*t[80])/3 - (3*t[81])/2 + (76*t[82])/9 + (13*t[83])/2 - 
       (379*t[84])/36 - (421*t[85])/18 - (224*t[86])/9 - (2389*t[87])/36 - 
       (2797*t[88])/72 - (2261*t[89])/48 + (16*t[95])/3 + (22*t[96])/3 + 
       (29*t[97])/6 + 58*t[98] - 20*t[99] - 81*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((9*t[1])/2 - (65*t[2])/24 - (347*t[3])/6 + (1305*t[4])/16 - 
       (461*t[5])/16 + (165*t[6])/2 + (11*t[7])/12 + (863*t[8])/24 + 
       (287*t[9])/48 + (45*t[10])/32 + (467*t[11])/6 - (4087*t[12])/96 + 
       (19781*t[13])/432 + (19301*t[14])/192 + (3497*t[15])/72 + t[16]/3 + 
       (19*t[17])/6 - (14*t[18])/3 + 2*t[20] - (14*t[21])/3 + 3*t[22] + 
       (14*t[23])/3 - (32*t[24])/3 - 5*t[25] + (7*t[26])/6 - 18*t[27] + 
       2*t[28] + 7*t[29] + 5*t[30] + 13*t[31] + (29*t[32])/6 - (7*t[33])/2 - 
       (85*t[34])/6 + 8*t[35] + (31*t[36])/6 - 11*t[37] - (5*t[38])/3 - 
       t[39]/2 - (5*t[40])/6 + (9*t[41])/4 - (55*t[42])/12 + (481*t[43])/24 - 
       9*t[44] + (247*t[45])/24 - (145*t[46])/12 - (75*t[47])/4 + 
       (77*t[48])/6 - (983*t[49])/96 + 2*t[50] + (3953*t[51])/192 + 
       (9*t[52])/2 + (1127*t[53])/96 + (353*t[54])/16 - t[56]/3 + 
       (4*t[57])/3 + (7*t[58])/6 + (49*t[59])/3 + (601*t[60])/12 + 
       (2507*t[61])/6 - (8767*t[62])/48 + (905*t[63])/16 - (755*t[64])/24 - 
       (7673*t[65])/24 - (745*t[66])/6 - (13*t[67])/3 + (5*t[68])/3 - 
       8*t[69] + (28*t[70])/3 - (28*t[71])/3 + 38*t[72] - 78*t[73] - 
       (56*t[74])/3 + 28*t[75] - 57*t[76] + (81*t[77])/2 + (79*t[78])/3 - 
       82*t[79] - (33*t[80])/2 - 26*t[81] - (179*t[82])/6 + 12*t[83] - 
       (43*t[84])/2 - (146*t[85])/3 - (535*t[86])/4 + (296*t[87])/3 + 
       (148*t[88])/3 + (23*t[89])/24 + t[91]/6 - (7*t[92])/3 + 6*t[93] + 
       (13*t[94])/3 - t[97] - 218*t[98] + 272*t[99] - 8*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((155*t[1])/18 - (122*t[2])/9 + (71*t[3])/2 - (5909*t[4])/144 + 
       (160*t[5])/3 - (6883*t[6])/96 - (337*t[7])/24 - (1147*t[8])/18 - 
       (8777*t[9])/144 - (1309*t[10])/288 - (2425*t[11])/96 - 
       (12077*t[12])/288 - (7499*t[13])/324 - (30121*t[14])/576 - 
       (95*t[15])/9 - (2*t[16])/3 - 10*t[25] - (55*t[26])/6 - (4*t[27])/9 - 
       (103*t[28])/9 + (31*t[29])/36 - (89*t[30])/18 + (67*t[31])/9 - 
       (7*t[32])/6 + (7*t[33])/6 - (5*t[34])/18 + (43*t[35])/3 + 
       (35*t[36])/6 - 5*t[37] + (89*t[38])/9 - (149*t[39])/12 + 6*t[40] + 
       (5*t[41])/36 - (5*t[42])/36 + (19*t[43])/18 + (227*t[44])/36 - 
       (11*t[45])/24 - 3*t[46] - (9*t[47])/4 - (5863*t[48])/288 + 
       (1117*t[49])/32 - (4831*t[50])/288 - (51*t[51])/64 + (143*t[52])/288 - 
       (4901*t[53])/288 + (709*t[54])/288 - (23*t[58])/6 - (85*t[59])/36 - 
       53*t[60] - (1349*t[61])/12 - (1661*t[62])/36 + (3739*t[63])/36 + 
       (5141*t[64])/144 - (13597*t[65])/216 + (7309*t[66])/216 + 
       (5*t[68])/3 - 3*t[69] - 4*t[70] + 4*t[71] + (43*t[72])/9 - 
       (193*t[73])/6 - (13*t[74])/3 + (95*t[75])/6 + (184*t[76])/9 - 
       (49*t[77])/18 - (439*t[78])/18 - (25*t[79])/6 + (685*t[80])/18 + 
       (109*t[81])/36 + (287*t[82])/12 + 14*t[83] - (3967*t[84])/72 - 
       (49*t[85])/36 + (1871*t[86])/36 - (1867*t[87])/36 - (3391*t[88])/72 - 
       (4051*t[89])/72 + t[91]/12 - t[93] + (46*t[95])/3 + (40*t[96])/3 + 
       (127*t[97])/18 + (587*t[98])/3 - (611*t[99])/3 + (155*t[100])/6 + 
       3*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-43*t[1])/12 + (47*t[2])/6 + (1451*t[3])/16 - 
       (343*t[4])/16 + (1337*t[5])/48 - (1441*t[6])/24 + (765*t[7])/16 - 
       (1951*t[8])/16 + (187*t[9])/8 - (1071*t[10])/32 + (1153*t[11])/48 + 
       (2947*t[12])/96 + (5639*t[13])/864 - (13357*t[14])/576 - 
       (5383*t[15])/216 - (4*t[17])/3 - t[19] - 10*t[20] + 3*t[21] + 
       3*t[22] - 3*t[23] - 2*t[24] + t[26] - (11*t[27])/3 - (23*t[28])/2 - 
       (65*t[29])/12 + 5*t[30] - (14*t[31])/3 - 19*t[32] - (7*t[33])/6 + 
       (22*t[34])/3 - (8*t[35])/3 - (5*t[36])/2 - (4*t[37])/3 - 
       (14*t[38])/3 + (79*t[39])/24 - (17*t[40])/8 + (3*t[41])/2 - 
       (3*t[42])/2 - (31*t[43])/16 + (95*t[44])/6 - (221*t[45])/6 - 
       (67*t[46])/12 + (85*t[47])/2 - (1603*t[48])/48 + (619*t[49])/96 + 
       (157*t[50])/48 - (73*t[51])/64 + (115*t[52])/48 - (491*t[53])/96 - 
       (275*t[54])/6 + t[55]/6 + t[56]/2 - t[57] - (8*t[59])/3 - 
       (4117*t[60])/48 - (2763*t[61])/16 - (2849*t[62])/96 + 
       (2699*t[63])/32 + (1327*t[64])/32 - (7147*t[65])/144 + 
       (6871*t[66])/144 + (5*t[68])/3 - (20*t[69])/3 - 4*t[70] + 4*t[71] + 
       6*t[72] - (259*t[73])/6 - (13*t[74])/3 + (39*t[75])/2 - (35*t[76])/6 - 
       (53*t[77])/6 + (5*t[78])/2 - t[79]/2 + (221*t[80])/6 - (27*t[81])/4 + 
       (353*t[82])/12 + (39*t[83])/2 - (1915*t[84])/48 - (111*t[85])/16 + 
       (961*t[86])/12 - (997*t[87])/48 - (3029*t[88])/96 - (6835*t[89])/96 + 
       t[91]/12 - t[93] + (46*t[95])/3 + 6*t[96] + t[97]/3 + 27*t[98] - 
       35*t[99] + (103*t[100])/2 + 3*t[102]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*((-25*t[1])/12 - 
       (133*t[2])/24 + (1967*t[3])/48 + (2411*t[4])/48 + (4627*t[5])/96 + 
       (1557*t[6])/32 - (5105*t[7])/48 - (473*t[8])/48 - (4119*t[9])/32 - 
       (1909*t[10])/96 + (4177*t[11])/96 - (173*t[12])/48 + 
       (64609*t[13])/864 - (9835*t[14])/192 + (53539*t[15])/1728 - 
       (7*t[17])/3 - 4*t[20] + 4*t[22] + (8*t[24])/3 + (8*t[27])/3 + 
       7*t[28] + (11*t[29])/3 - (23*t[30])/2 + 37*t[31] - (8*t[32])/3 + 
       (115*t[33])/6 - (40*t[34])/3 - 10*t[35] - (57*t[36])/2 + t[38]/2 - 
       (37*t[39])/3 + t[40]/12 + (7*t[41])/3 - (7*t[42])/3 + (45*t[43])/8 + 
       (4*t[44])/3 + (17*t[45])/4 - (17*t[46])/12 + t[47]/2 - 
       (1913*t[48])/96 - (915*t[49])/32 - (1143*t[50])/32 + (1579*t[51])/64 + 
       (3397*t[52])/96 + (723*t[53])/32 + (2879*t[54])/96 + (7*t[55])/3 + 
       2*t[56] - t[59]/3 - 45*t[60] - (214*t[61])/3 + (629*t[62])/4 - 
       (1847*t[63])/12 - (1133*t[64])/24 - (503*t[65])/6 - (301*t[66])/12 + 
       (14*t[68])/3 + (2*t[70])/3 - (2*t[71])/3 - 23*t[72] - 46*t[73] + 
       5*t[74] + 37*t[75] + (4*t[76])/3 + (14*t[77])/3 - (32*t[78])/3 - 
       (95*t[79])/2 + (32*t[80])/3 - (112*t[81])/3 - 14*t[82] - 
       (81*t[83])/2 - (571*t[84])/24 + (977*t[85])/24 - (251*t[86])/2 + 
       (213*t[87])/8 + (775*t[88])/48 + 47*t[89] - 4*t[93] + 2*t[95] - 
       (26*t[96])/3 - (26*t[97])/3 - 26*t[98] + 8*t[99] + 92*t[100] + 
       3*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - w]*((-23*t[1])/4 + (107*t[2])/8 - (227*t[3])/48 + (285*t[4])/16 + 
       (3295*t[5])/96 + (7211*t[6])/96 - (235*t[7])/16 + (865*t[8])/16 - 
       (667*t[9])/32 - (3487*t[10])/32 - (921*t[11])/32 - (237*t[12])/16 + 
       (6631*t[13])/288 - (19045*t[14])/576 - (7447*t[15])/576 - 
       (4*t[16])/3 - (32*t[25])/3 + (37*t[26])/3 - (5*t[27])/3 + 12*t[28] - 
       (3*t[29])/2 - t[30]/2 - 7*t[31] - (3*t[32])/2 + (3*t[33])/2 + 
       4*t[34] + 15*t[35] - (19*t[36])/6 + 9*t[37] - (19*t[38])/6 - 
       (17*t[39])/3 - (55*t[40])/12 - 2*t[41] + 2*t[42] + (49*t[43])/8 - 
       (3*t[44])/4 - (49*t[45])/4 + (25*t[46])/12 + 23*t[47] + 
       (1955*t[48])/96 - (305*t[49])/96 + (647*t[50])/96 + (223*t[51])/64 + 
       (403*t[52])/32 + (577*t[53])/96 - (973*t[54])/96 + t[58] - t[59]/3 - 
       45*t[60] - (214*t[61])/3 + (629*t[62])/4 - (1847*t[63])/12 - 
       (1133*t[64])/24 - (503*t[65])/6 - (301*t[66])/12 + (14*t[68])/3 + 
       (2*t[70])/3 - (2*t[71])/3 - 23*t[72] - 46*t[73] + 5*t[74] + 37*t[75] + 
       (4*t[76])/3 + (14*t[77])/3 - (32*t[78])/3 - (95*t[79])/2 + 
       (32*t[80])/3 - (112*t[81])/3 - 14*t[82] - (81*t[83])/2 - 
       (571*t[84])/24 + (977*t[85])/24 - (251*t[86])/2 + (213*t[87])/8 + 
       (775*t[88])/48 + 47*t[89] - 4*t[93] + 2*t[95] - (26*t[96])/3 - 
       (26*t[97])/3 - 26*t[98] + 8*t[99] + 92*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((7*t[1])/2 - (19*t[2])/3 + (5663*t[3])/144 - (445*t[4])/48 + 
       (8731*t[5])/288 - (17797*t[6])/288 + (1325*t[7])/16 - (1379*t[8])/16 + 
       (999*t[9])/32 + (313*t[10])/288 + (14573*t[11])/288 + 
       (1073*t[12])/72 + (27673*t[13])/864 - (23675*t[14])/1728 - 
       (11743*t[15])/1728 + t[17]/6 - 2*t[19] + 12*t[20] - 8*t[22] - 
       3*t[24] - 3*t[26] - (4*t[27])/3 - 9*t[28] + (11*t[29])/6 - 9*t[30] - 
       (17*t[31])/9 + (5*t[32])/2 - (13*t[33])/3 - (17*t[34])/6 + 14*t[35] - 
       (2*t[36])/3 - (4*t[37])/3 + 2*t[38] - t[39]/2 - (9*t[40])/4 - 
       (7*t[41])/12 + (7*t[42])/12 + (25*t[43])/72 + (27*t[44])/2 - 
       (41*t[45])/4 - (41*t[46])/12 + 17*t[47] - (3707*t[48])/96 + 
       (181*t[49])/288 + (3467*t[50])/288 + (985*t[51])/192 - 
       (3899*t[52])/288 + (2123*t[53])/288 - (11645*t[54])/288 + 
       (2*t[55])/3 - t[56] - t[58] + (15*t[59])/4 + (35*t[60])/36 - 
       (265*t[61])/12 - (18683*t[62])/144 - (359*t[63])/48 - (131*t[64])/24 - 
       (3257*t[65])/72 - (9847*t[66])/216 + (2*t[68])/3 + 6*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 + (17*t[72])/3 - (223*t[73])/6 - 
       (35*t[74])/3 + 47*t[75] + (64*t[76])/3 + (13*t[77])/6 - (56*t[78])/3 - 
       (93*t[79])/2 + (52*t[80])/3 - (70*t[81])/3 + (173*t[82])/18 + 
       9*t[83] - (2951*t[84])/72 - (1135*t[85])/72 + (1451*t[86])/18 - 
       (1385*t[87])/72 - (2201*t[88])/144 - (137*t[89])/4 + 2*t[93] + 
       (16*t[95])/3 + (40*t[96])/3 + (53*t[97])/6 + 82*t[98] - 56*t[99] + 
       (277*t[100])/3 + 3*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((-97*t[1])/12 - 
       (109*t[2])/12 + (1531*t[3])/144 - (731*t[4])/48 + (14903*t[5])/288 - 
       (14639*t[6])/288 + (275*t[7])/48 + (289*t[8])/16 - (3259*t[9])/96 - 
       (1285*t[10])/288 - (9389*t[11])/288 + (1421*t[12])/144 - 
       (3085*t[13])/288 - (15589*t[14])/1728 - (3731*t[15])/1728 - t[16]/6 + 
       4*t[25] + (8*t[26])/3 + t[27]/3 - t[28] - (11*t[29])/6 - 
       (15*t[30])/2 + (68*t[31])/9 + (13*t[32])/6 - (13*t[33])/6 - 
       (5*t[34])/3 + 23*t[35] + (9*t[36])/2 + (13*t[37])/3 - (19*t[38])/3 - 
       (19*t[39])/6 + (59*t[40])/12 + (5*t[41])/6 - (5*t[42])/6 - 
       (115*t[43])/72 + (155*t[44])/12 - (43*t[45])/12 - (29*t[46])/12 + 
       (25*t[47])/3 + (107*t[48])/96 + (3707*t[49])/288 - (1763*t[50])/288 - 
       (445*t[51])/192 + (227*t[52])/288 - (1019*t[53])/288 + 
       (317*t[54])/288 - t[58] + (43*t[59])/12 - (1597*t[60])/72 - 
       (1499*t[61])/24 - (7595*t[62])/72 - (85*t[63])/8 - (251*t[64])/48 - 
       (389*t[65])/12 - (544*t[66])/27 + (2*t[68])/3 + 4*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 + 3*t[72] - (239*t[73])/6 - (35*t[74])/3 + 
       49*t[75] + 7*t[76] - (7*t[77])/6 - 4*t[78] - (99*t[79])/2 + 10*t[80] - 
       (86*t[81])/3 + (187*t[82])/18 + 12*t[83] - (1217*t[84])/36 - 
       (637*t[85])/36 + (1477*t[86])/18 + (59*t[87])/18 - (145*t[88])/36 - 
       (1655*t[89])/48 + 2*t[93] + (16*t[95])/3 + (28*t[96])/3 + 
       (31*t[97])/6 - 10*t[98] + 36*t[99] + (389*t[100])/3 + 3*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-11*t[1])/4 - (197*t[2])/24 + (205*t[3])/16 - (625*t[4])/12 - 
       (2339*t[5])/48 - (483*t[6])/32 + (1633*t[7])/48 - (1359*t[8])/16 + 
       (2247*t[9])/16 + (247*t[10])/16 - (3915*t[11])/32 - (243*t[12])/16 - 
       (95411*t[13])/864 + (1345*t[14])/288 - (355*t[15])/18 - (15*t[17])/2 + 
       (109*t[19])/9 - 30*t[20] - 13*t[21] + 39*t[22] + 13*t[23] - 6*t[24] - 
       (4*t[26])/3 + 3*t[27] + (27*t[29])/4 - (15*t[30])/2 + (15*t[32])/2 - 
       (39*t[33])/2 + (127*t[34])/3 + 23*t[35] + t[36]/6 - 12*t[37] - 
       (28*t[38])/3 + (125*t[39])/6 - (63*t[40])/2 - (38*t[41])/3 + 
       (38*t[42])/3 - (165*t[43])/16 - (75*t[44])/8 - (57*t[45])/2 + 
       (27*t[46])/4 - (25*t[47])/2 + (1403*t[48])/96 + (391*t[49])/24 - 
       (721*t[50])/96 - (127*t[51])/24 + (1307*t[52])/32 - (343*t[53])/24 + 
       (347*t[54])/32 + (9*t[56])/2 + 9*t[57] + (11*t[59])/3 - 
       (4759*t[60])/48 - (6409*t[61])/16 + (335*t[62])/3 + (2449*t[63])/8 + 
       (1833*t[64])/32 + (20309*t[65])/72 + (25753*t[66])/48 - (3*t[68])/2 - 
       2*t[69] + 3*t[72] - 111*t[73] + (40*t[74])/3 + 87*t[75] - 
       (143*t[76])/6 - (157*t[77])/12 - (50*t[78])/3 - (3*t[79])/2 + 
       (163*t[80])/12 + (64*t[81])/3 + (59*t[82])/4 - (75*t[83])/2 + 
       (485*t[84])/16 - (43*t[85])/16 + (91*t[86])/8 - (719*t[87])/48 - 
       (1055*t[88])/96 + (6347*t[89])/96 - (8*t[95])/3 - t[96] + 
       (59*t[97])/6 - 26*t[98] + 2*t[99] + 181*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-37*t[1])/12 + (449*t[2])/12 + (1225*t[3])/24 - (1601*t[4])/12 + 
       (2243*t[5])/24 + (551*t[6])/24 - (869*t[7])/4 + (1909*t[8])/12 - 
       (1511*t[9])/8 + (625*t[10])/8 - (6485*t[11])/24 - (53*t[12])/2 - 
       (16663*t[13])/108 - (23401*t[14])/144 + (263*t[15])/36 + 6*t[19] - 
       12*t[20] - 3*t[21] + 12*t[22] + (8*t[23])/3 - 24*t[25] + 
       (33*t[26])/2 + 3*t[28] + (124*t[29])/3 - (28*t[30])/3 - 4*t[31] - 
       (71*t[32])/6 + 11*t[33] + (3*t[34])/2 - t[35] - 15*t[36] - t[37] + 
       (13*t[38])/3 - (27*t[39])/2 + (89*t[40])/6 + (7*t[41])/12 - 
       (7*t[42])/12 + 4*t[43] - (231*t[44])/4 - 3*t[45] + (15*t[46])/2 - 
       t[47]/3 + (1631*t[48])/24 - (583*t[49])/24 - (653*t[50])/24 + 
       (211*t[51])/16 + (553*t[52])/24 + (141*t[53])/8 + (2237*t[54])/24 - 
       (3*t[58])/2 + (11*t[59])/3 - (4759*t[60])/48 - (6409*t[61])/16 + 
       (335*t[62])/3 + (2449*t[63])/8 + (1833*t[64])/32 + (20309*t[65])/72 + 
       (25753*t[66])/48 - (3*t[68])/2 - 2*t[69] + 3*t[72] - 111*t[73] + 
       (40*t[74])/3 + 87*t[75] - (143*t[76])/6 - (157*t[77])/12 - 
       (50*t[78])/3 - (3*t[79])/2 + (163*t[80])/12 + (64*t[81])/3 + 
       (59*t[82])/4 - (75*t[83])/2 + (485*t[84])/16 - (43*t[85])/16 + 
       (91*t[86])/8 - (719*t[87])/48 - (1055*t[88])/96 + (6347*t[89])/96 - 
       (8*t[95])/3 - t[96] + (59*t[97])/6 - 26*t[98] + 2*t[99] + 181*t[100] + 
       3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-19*t[1])/2 + (41*t[2])/4 + (3365*t[3])/72 - 
       (1633*t[4])/24 + (5027*t[5])/72 - (3239*t[6])/72 + (179*t[7])/18 - 
       (7049*t[8])/36 - (1339*t[9])/24 - (9985*t[10])/144 - t[11]/36 + 
       (1229*t[12])/144 - (5411*t[13])/432 - (36155*t[14])/864 - 
       (653*t[15])/48 - 2*t[18] - 2*t[19] + 2*t[20] - 2*t[21] + 2*t[23] + 
       4*t[24] + t[25] - t[26] + (7*t[27])/3 - (139*t[28])/18 + 
       (170*t[29])/9 + (169*t[30])/9 - (35*t[31])/3 - (73*t[32])/6 + 
       (11*t[33])/3 + 12*t[34] - (50*t[35])/3 - 7*t[36] + 6*t[37] - 5*t[38] - 
       (23*t[39])/3 + (7*t[40])/3 - 3*t[41] + 2*t[42] - (89*t[43])/12 + 
       (671*t[44])/18 - (63*t[45])/2 - (13*t[46])/2 + (73*t[47])/3 - 
       (80*t[48])/3 + (731*t[49])/48 + (365*t[50])/18 - (465*t[51])/32 - 
       (149*t[52])/18 - (923*t[53])/48 - (4847*t[54])/72 - (77*t[59])/6 - 
       (11641*t[60])/72 - (12761*t[61])/72 - (2983*t[62])/144 + 
       (15877*t[63])/48 + (28271*t[64])/144 - (10877*t[65])/216 + 
       (3991*t[66])/72 - 2*t[68] - 2*t[69] + (4*t[72])/3 - (349*t[73])/6 - 
       8*t[74] + (89*t[75])/6 + (76*t[76])/3 - (9*t[77])/2 - (119*t[78])/3 + 
       (13*t[79])/6 - 15*t[80] - 3*t[81] + (53*t[82])/3 + (1081*t[83])/18 - 
       (4441*t[84])/72 + (1211*t[85])/72 + (317*t[86])/18 - t[87]/24 - 
       (953*t[88])/48 - (13133*t[89])/144 + 16*t[95] - 2*t[96] - 5*t[97] + 
       80*t[98] - 16*t[99] - (754*t[100])/3 + 4*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((17*t[1])/3 - (77*t[2])/4 + (887*t[3])/24 - (595*t[4])/9 + 
       (37*t[5])/18 - (2773*t[6])/48 - (847*t[7])/36 - (3157*t[8])/36 + 
       (845*t[9])/72 - (595*t[10])/36 - (1301*t[11])/48 - (65*t[12])/3 - 
       (29897*t[13])/432 - (23095*t[14])/432 - (3085*t[15])/216 - t[16] - 
       (16*t[19])/3 - 6*t[20] - 4*t[21] + 2*t[22] + 4*t[23] - 12*t[25] - 
       (17*t[26])/3 + (20*t[27])/3 - 10*t[28] + (67*t[29])/6 + 8*t[30] + 
       (2*t[31])/3 + (5*t[32])/3 - (5*t[33])/3 + 5*t[34] - 4*t[35] - 
       (79*t[36])/6 + 7*t[37] + (41*t[38])/3 - 13*t[39] + 24*t[40] - 
       (11*t[41])/2 + (11*t[42])/2 + t[43]/12 - (10*t[44])/3 + (15*t[45])/2 + 
       (23*t[46])/2 - (34*t[47])/3 - (1597*t[48])/48 + (73*t[49])/18 + 
       (967*t[50])/48 + (8*t[51])/3 - (1207*t[52])/48 + (142*t[53])/9 + 
       (4327*t[54])/144 - t[58] - (77*t[59])/6 - (11033*t[60])/72 - 
       (13141*t[61])/72 - (3515*t[62])/144 + (4811*t[63])/16 + 
       (29107*t[64])/144 - (9433*t[65])/216 + (3307*t[66])/72 - 2*t[68] + 
       (13*t[69])/3 + (23*t[72])/3 - (311*t[73])/6 - 8*t[74] + 
       (127*t[75])/6 + (76*t[76])/3 - (9*t[77])/2 - (119*t[78])/3 - 
       (25*t[79])/6 - 15*t[80] - 3*t[81] + (53*t[82])/3 + (607*t[83])/9 - 
       (4289*t[84])/72 + (1363*t[85])/72 + (583*t[86])/18 - (305*t[87])/24 - 
       (419*t[88])/16 - (13057*t[89])/144 + 16*t[95] - 2*t[96] - 5*t[97] + 
       80*t[98] - 16*t[99] - (1489*t[100])/6 + 4*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((25*t[1])/3 - (331*t[2])/12 - (701*t[3])/24 + (977*t[4])/24 - 
       (779*t[5])/48 + (157*t[6])/16 + (1487*t[7])/24 - (463*t[8])/24 + 
       (3773*t[9])/48 + (85*t[10])/16 + (4015*t[11])/48 - (5*t[12])/12 + 
       (10129*t[13])/432 + (28199*t[14])/288 - (2183*t[15])/96 - 2*t[20] + 
       2*t[22] - t[26] - (14*t[27])/3 - (2*t[28])/3 + (11*t[29])/3 - 
       (17*t[30])/3 + t[31] + t[32] - t[33] - (14*t[34])/3 + 4*t[35] - 
       (3*t[36])/2 - (13*t[37])/3 + (10*t[38])/3 + 4*t[39] + (3*t[40])/2 + 
       (10*t[41])/3 - (10*t[42])/3 + t[43]/2 + (35*t[44])/6 - 6*t[45] - 
       (11*t[46])/2 + 15*t[47] + (13*t[48])/16 + (1127*t[49])/48 - 
       (901*t[50])/48 - (571*t[51])/96 + (677*t[52])/48 - (679*t[53])/48 - 
       (509*t[54])/48 + t[59]/3 + (1309*t[60])/12 + (1969*t[61])/12 - 
       (7159*t[62])/48 - (4817*t[63])/48 - (491*t[64])/24 - (8749*t[65])/72 - 
       (3047*t[66])/18 - 6*t[68] + 2*t[69] + (34*t[72])/3 - (110*t[73])/3 - 
       4*t[74] + 66*t[75] + (50*t[76])/3 + (5*t[77])/3 - (43*t[78])/3 - 
       (118*t[79])/3 + 9*t[80] + (2*t[81])/3 - (56*t[82])/3 - 38*t[83] - 
       (17*t[84])/3 - (28*t[85])/3 + 38*t[86] - (136*t[87])/3 - 
       (68*t[88])/3 + (3*t[89])/8 + 11*t[96] + (22*t[97])/3 - 20*t[98] + 
       60*t[99] - (251*t[100])/3 + 4*t[102]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-37*t[1])/6 - (227*t[2])/12 + (51*t[3])/4 - (2749*t[4])/24 - 
       (1477*t[5])/48 - (507*t[6])/16 + (677*t[7])/24 - (2101*t[8])/24 + 
       (4651*t[9])/48 - (3679*t[10])/16 + (4879*t[11])/48 + (883*t[12])/8 + 
       (2008*t[13])/27 - (26669*t[14])/288 - (3817*t[15])/288 - 
       (34*t[19])/9 + 2*t[20] + 4*t[21] + 2*t[22] - 4*t[23] + 2*t[25] - 
       t[26] - 8*t[27] - 2*t[28] + 11*t[29] - 6*t[30] - 14*t[31] + t[32] - 
       t[33] + (8*t[34])/3 - 4*t[35] + (5*t[36])/6 + (41*t[37])/3 - 
       (23*t[38])/6 + (19*t[39])/6 + (19*t[40])/2 - t[41]/3 + t[42]/3 + 
       t[43] + (19*t[44])/2 + 3*t[45] + 9*t[46] - 3*t[47] - (1171*t[48])/48 - 
       (2917*t[49])/48 - (367*t[50])/48 + (1803*t[51])/32 + (5*t[52])/16 + 
       (1223*t[53])/16 + (723*t[54])/16 - t[58] + (25*t[59])/6 - 
       (113*t[60])/2 - (1619*t[61])/12 + (103*t[62])/8 - (399*t[63])/8 + 
       (3037*t[64])/8 + (23*t[65])/2 - (1723*t[66])/18 - 10*t[68] - 
       (19*t[69])/3 - 6*t[70] + 6*t[71] + 11*t[72] - (239*t[73])/6 - 
       12*t[74] + (65*t[75])/2 + (8*t[76])/3 - (19*t[77])/6 - 15*t[78] - 
       (37*t[79])/6 - (199*t[80])/3 + (95*t[81])/3 - (19*t[82])/3 - 
       30*t[83] - 22*t[84] + (61*t[85])/6 + (57*t[86])/2 - (27*t[87])/2 - 
       (271*t[88])/12 + (179*t[89])/24 + 16*t[95] + 2*t[96] - t[97]/3 + 
       140*t[98] - 88*t[99] - (165*t[100])/2 + 4*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-31*t[1])/6 - (509*t[2])/12 + (535*t[3])/9 - (221*t[4])/24 + 
       (3535*t[5])/144 + (1013*t[6])/144 - (16267*t[7])/72 + (7139*t[8])/72 - 
       (3173*t[9])/16 + (8783*t[10])/144 - (7153*t[11])/144 + 
       (2599*t[12])/72 + (10283*t[13])/432 - (102029*t[14])/864 - 
       (18127*t[15])/288 + 2*t[18] - 6*t[19] + 8*t[20] + 6*t[21] - 8*t[22] - 
       8*t[23] + 5*t[25] + t[26] + 7*t[27] - (79*t[28])/18 - (481*t[29])/9 + 
       (119*t[30])/18 + (31*t[31])/3 - (151*t[32])/3 + (161*t[33])/6 + 
       14*t[34] + (2*t[35])/3 - 7*t[36] + 2*t[37] - (53*t[38])/6 + 
       (17*t[39])/2 - (115*t[40])/6 - (4*t[41])/3 + (7*t[42])/3 - 
       (69*t[43])/4 - (247*t[44])/18 + (23*t[45])/2 - (11*t[46])/2 - 
       (80*t[47])/3 + (1267*t[48])/48 + (1517*t[49])/48 - (13715*t[50])/144 - 
       (215*t[51])/32 + (17123*t[52])/144 - (559*t[53])/16 - 
       (883*t[54])/144 + 2*t[58] + (25*t[59])/6 - (865*t[60])/18 - 
       (5047*t[61])/36 + (661*t[62])/72 - (1919*t[63])/24 + 
       (27751*t[64])/72 + (491*t[65])/27 - (947*t[66])/9 - 10*t[68] - 
       6*t[70] + 6*t[71] + (52*t[72])/3 - (67*t[73])/2 - 12*t[74] + 
       (233*t[75])/6 + (8*t[76])/3 - (19*t[77])/6 - 15*t[78] - (25*t[79])/2 - 
       (199*t[80])/3 + (95*t[81])/3 - (19*t[82])/3 - (407*t[83])/18 - 
       (179*t[84])/9 + (221*t[85])/18 + (779*t[86])/18 - (157*t[87])/6 - 
       (347*t[88])/12 + (575*t[89])/72 + 16*t[95] + 2*t[96] - t[97]/3 + 
       140*t[98] - 88*t[99] - (238*t[100])/3 + 4*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (t[1]/2 - (35*t[2])/4 + (1165*t[3])/24 + (463*t[4])/24 + 
       (1745*t[5])/48 - (1117*t[6])/12 + (2107*t[7])/24 - (4393*t[8])/24 + 
       (623*t[9])/48 + (95*t[10])/48 + (68*t[11])/3 - (165*t[12])/4 - 
       (7717*t[13])/144 - (16087*t[14])/288 - (37093*t[15])/864 - 16*t[19] + 
       12*t[20] - 6*t[22] + (4*t[23])/3 + t[25] - t[26] + (11*t[27])/3 - 
       (25*t[28])/3 - 15*t[29] - (211*t[30])/6 + (17*t[31])/3 + 
       (11*t[32])/2 - (13*t[33])/2 + 9*t[34] + 18*t[35] - 57*t[36] + 
       14*t[37] - t[38]/2 - (5*t[39])/2 - (17*t[40])/6 - (15*t[41])/2 + 
       (15*t[42])/2 + (43*t[43])/12 + (145*t[44])/12 - (9*t[45])/2 - 
       (3*t[46])/2 + 11*t[47] - (631*t[48])/8 + (685*t[49])/16 + 
       (227*t[50])/8 - (935*t[51])/96 - (219*t[52])/8 - (717*t[53])/16 - 
       (1021*t[54])/12 - (11*t[59])/2 + (2573*t[60])/24 - (1781*t[61])/24 - 
       (5291*t[62])/48 + (2275*t[63])/48 + (1105*t[64])/16 - 
       (2983*t[65])/24 - (3133*t[66])/72 + 2*t[68] + 10*t[69] - (4*t[72])/3 - 
       81*t[73] - 8*t[74] + 65*t[75] + 13*t[76] + (7*t[77])/2 - 
       (119*t[78])/3 - 32*t[79] - t[80] - t[81] - (73*t[82])/3 - 
       (140*t[83])/3 - (27*t[84])/8 + (571*t[85])/24 + 133*t[86] - 
       (2593*t[87])/24 - (2617*t[88])/48 + (11*t[89])/48 + 3*t[96] + 
       2*t[97] + 132*t[98] - 114*t[99] - 44*t[100] + 4*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((27*t[1])/2 - (117*t[2])/4 - (181*t[3])/8 + (335*t[4])/12 - 
       (935*t[5])/48 + (1949*t[6])/48 + (471*t[7])/8 + (541*t[8])/24 + 
       (1635*t[9])/16 - (271*t[10])/12 + (2359*t[11])/48 - (361*t[12])/16 + 
       (2945*t[13])/144 + (1141*t[14])/18 - (13535*t[15])/288 - (2*t[19])/3 - 
       2*t[20] + 2*t[22] - 11*t[26] - (26*t[27])/3 + (34*t[28])/3 + 
       (35*t[29])/3 - (32*t[30])/3 + (8*t[31])/3 + t[32] - t[33] - 3*t[34] + 
       12*t[35] + 4*t[36] + (25*t[38])/2 + (43*t[39])/6 - (5*t[40])/2 + 
       (5*t[41])/2 - (5*t[42])/2 - (11*t[43])/12 + (5*t[44])/6 - 
       (13*t[45])/2 - (52*t[46])/3 + 16*t[47] + (1033*t[48])/48 + 
       (701*t[49])/24 - (1811*t[50])/48 + (163*t[51])/24 + (1667*t[52])/48 - 
       (545*t[53])/24 - (353*t[54])/48 - (11*t[59])/2 + (2573*t[60])/24 - 
       (1781*t[61])/24 - (5291*t[62])/48 + (2275*t[63])/48 + 
       (1105*t[64])/16 - (2983*t[65])/24 - (3133*t[66])/72 + 2*t[68] + 
       10*t[69] - (4*t[72])/3 - 81*t[73] - 8*t[74] + 65*t[75] + 13*t[76] + 
       (7*t[77])/2 - (119*t[78])/3 - 32*t[79] - t[80] - t[81] - 
       (73*t[82])/3 - (140*t[83])/3 - (27*t[84])/8 + (571*t[85])/24 + 
       133*t[86] - (2593*t[87])/24 - (2617*t[88])/48 + (11*t[89])/48 + 
       3*t[96] + 2*t[97] + 132*t[98] - 114*t[99] - 44*t[100] + 4*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-7*t[1])/3 + (25*t[2])/3 - (97*t[3])/6 + (89*t[4])/4 - 
       (575*t[5])/24 - (79*t[6])/8 + (377*t[7])/2 - (1607*t[8])/6 + 
       (1217*t[9])/8 - (557*t[10])/24 + (213*t[11])/8 + (457*t[12])/12 - 
       (296*t[13])/9 - (1537*t[14])/144 - (6847*t[15])/432 - 2*t[17] + 
       (14*t[19])/3 + 10*t[20] + 4*t[21] - 10*t[22] - 4*t[23] - 12*t[24] - 
       2*t[27] + 11*t[29] + (173*t[30])/6 + (20*t[32])/3 - (67*t[33])/6 + 
       (46*t[34])/3 + 20*t[35] - 12*t[36] - 4*t[37] - (8*t[38])/3 - 
       (101*t[39])/6 + (23*t[40])/6 + 3*t[41] - 3*t[42] - (11*t[43])/4 + 
       35*t[44] - (178*t[45])/3 + t[46] + (146*t[47])/3 - (823*t[48])/24 + 
       (349*t[49])/24 + (1661*t[50])/24 + (205*t[51])/48 - (511*t[52])/8 - 
       (349*t[53])/24 - (173*t[54])/8 - 4*t[57] + (26*t[59])/3 + 
       (1207*t[60])/6 + 37*t[61] - (2915*t[62])/24 + (1667*t[63])/24 - 
       (4537*t[64])/12 + (1865*t[65])/36 + (212*t[66])/9 + 6*t[69] - 
       86*t[73] - 18*t[74] + 106*t[75] - (292*t[76])/3 + (248*t[78])/3 - 
       28*t[79] - 59*t[80] + (77*t[81])/3 - (2*t[82])/3 - 94*t[83] + 
       (79*t[84])/3 - 11*t[85] - (83*t[86])/2 - (775*t[87])/6 - 
       (775*t[88])/12 + (68*t[89])/3 + 4*t[93] + (16*t[97])/3 - 260*t[98] + 
       420*t[99] - 19*t[100] + 4*t[102]) + HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*(-5*t[1] + (2*t[2])/3 - 
       (193*t[3])/4 + (203*t[4])/3 - (757*t[5])/24 + (857*t[6])/8 - 
       (183*t[7])/4 + (1757*t[8])/12 + (1667*t[9])/24 + (343*t[10])/3 + 
       (3*t[11])/8 + (35*t[12])/24 - (1583*t[13])/24 + (3193*t[14])/18 + 
       (2143*t[15])/144 - (2*t[19])/3 + 11*t[25] - (4*t[26])/3 + 3*t[27] + 
       14*t[28] + 11*t[29] + 14*t[30] + 8*t[31] - (8*t[34])/3 - 10*t[35] + 
       6*t[36] + (26*t[37])/3 - 7*t[38] + 8*t[39] - (28*t[40])/3 + 
       (4*t[41])/3 - (4*t[42])/3 - t[43] - (63*t[44])/2 + 14*t[45] + 
       (41*t[46])/3 - 28*t[47] + (911*t[48])/24 + (59*t[49])/4 - 
       (773*t[50])/24 - (323*t[51])/12 + (1093*t[52])/24 - (133*t[53])/12 + 
       (1141*t[54])/24 + (8*t[58])/3 + (26*t[59])/3 + (1207*t[60])/6 + 
       37*t[61] - (2915*t[62])/24 + (1667*t[63])/24 - (4537*t[64])/12 + 
       (1865*t[65])/36 + (212*t[66])/9 + 6*t[69] - 86*t[73] - 18*t[74] + 
       106*t[75] - (292*t[76])/3 + (248*t[78])/3 - 28*t[79] - 59*t[80] + 
       (77*t[81])/3 - (2*t[82])/3 - 94*t[83] + (79*t[84])/3 - 11*t[85] - 
       (83*t[86])/2 - (775*t[87])/6 - (775*t[88])/12 + (68*t[89])/3 + 
       4*t[93] + (16*t[97])/3 - 260*t[98] + 420*t[99] - 19*t[100] + 
       4*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*(-t[1] - (61*t[2])/3 - (1079*t[3])/36 + 
       (97*t[4])/3 + (211*t[5])/144 + (1805*t[6])/144 + (1831*t[7])/24 + 
       (505*t[8])/24 + (75*t[9])/16 + (977*t[10])/72 + (8909*t[11])/144 - 
       (1171*t[12])/144 + (3071*t[13])/144 + (8683*t[14])/216 + 
       (22253*t[15])/864 + 4*t[20] - 4*t[22] + 2*t[25] - 2*t[26] + 
       (14*t[27])/3 - 16*t[28] - (22*t[29])/3 + 16*t[30] + (83*t[31])/9 + 
       (20*t[32])/3 - (20*t[33])/3 + t[34]/3 + 4*t[35] + (31*t[36])/6 + 
       (25*t[37])/3 + (4*t[38])/3 - (5*t[39])/3 + 4*t[40] + (7*t[41])/3 - 
       (7*t[42])/3 + (83*t[43])/18 + (20*t[44])/3 + 15*t[45] + (3*t[46])/2 - 
       (79*t[47])/3 - (325*t[48])/48 + (173*t[49])/18 + (581*t[50])/144 - 
       (13*t[51])/3 - (965*t[52])/144 - (77*t[53])/18 - (1961*t[54])/144 + 
       t[59]/3 + (3205*t[60])/36 + (1627*t[61])/12 - (13117*t[62])/144 - 
       (3449*t[63])/48 - (757*t[64])/24 - (7229*t[65])/72 - (2737*t[66])/27 - 
       6*t[68] + 2*t[69] - (4*t[72])/3 - 24*t[73] - 4*t[74] + 66*t[75] + 
       (50*t[76])/3 + (5*t[77])/3 - (43*t[78])/3 - (175*t[79])/3 - 
       (49*t[80])/3 + (2*t[81])/3 - (244*t[82])/9 - 38*t[83] - (89*t[84])/9 - 
       (46*t[85])/9 - (133*t[86])/9 - (218*t[87])/9 - (109*t[88])/9 + 
       (731*t[89])/24 + 11*t[96] + (22*t[97])/3 - 20*t[98] + 60*t[99] + 
       5*t[100] + 4*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((-10*t[1])/3 + (217*t[2])/6 + (61*t[3])/2 - 
       (421*t[4])/12 + (235*t[5])/3 + (431*t[6])/24 - (317*t[7])/6 + 
       (77*t[8])/3 - (311*t[9])/4 - (1639*t[10])/24 - (1823*t[11])/24 - 
       (269*t[12])/8 + (2659*t[13])/54 - (11839*t[14])/144 + (505*t[15])/18 - 
       (2*t[19])/9 + 4*t[20] - 4*t[22] + 2*t[25] - 4*t[26] + 6*t[27] + 
       10*t[28] - 10*t[29] - 2*t[30] - 4*t[31] - 2*t[32] + 2*t[33] + 
       (16*t[34])/3 + 2*t[35] + 28*t[36] - (10*t[37])/3 - (2*t[38])/3 + 
       (10*t[39])/3 - 5*t[40] - (14*t[41])/3 + (14*t[42])/3 + 5*t[43] - 
       11*t[44] - 10*t[45] + 23*t[46] + 14*t[47] + (473*t[48])/24 - 
       (123*t[49])/8 + (221*t[50])/24 - (165*t[51])/16 - (31*t[52])/8 + 
       (125*t[53])/24 + (37*t[54])/24 - (8*t[59])/3 - (443*t[60])/4 - 
       (1915*t[61])/12 + (597*t[62])/4 + (1105*t[63])/12 - (55*t[64])/8 + 
       (1214*t[65])/9 + (1259*t[66])/36 + 10*t[68] - t[69] - 23*t[72] + 
       64*t[73] - 20*t[74] - 108*t[75] + 26*t[76] + (23*t[77])/3 - 
       (118*t[78])/3 + 26*t[79] + (226*t[80])/3 + (23*t[81])/3 + 
       (37*t[82])/3 + (21*t[83])/2 + (61*t[84])/12 + (199*t[85])/12 - 
       98*t[86] + (105*t[87])/4 + (105*t[88])/8 + (535*t[89])/8 - 10*t[96] - 
       (20*t[97])/3 + 388*t[98] - 428*t[99] + 33*t[100] + 4*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-4*t[1])/3 + (41*t[2])/3 + (89*t[3])/3 - (41*t[4])/12 + 
       (175*t[5])/6 + (187*t[6])/12 - 61*t[7] - 53*t[8] + (95*t[9])/6 - 
       (525*t[10])/8 - (69*t[11])/4 + (529*t[12])/24 + (611*t[13])/108 - 
       (4649*t[14])/144 - (9233*t[15])/216 - 5*t[20] + 6*t[22] - 2*t[25] + 
       2*t[26] - 8*t[27] + 14*t[28] + (31*t[29])/3 - (83*t[30])/3 + t[31] + 
       (49*t[32])/6 - (29*t[33])/3 + (4*t[34])/3 + 20*t[35] - 2*t[37] - 
       (2*t[38])/3 + (25*t[39])/3 - (85*t[40])/6 - (5*t[41])/3 + 
       (5*t[42])/3 + 10*t[43] - (7*t[44])/2 - 42*t[45] - 5*t[46] + 
       (248*t[47])/3 + (275*t[48])/12 - (445*t[49])/24 - (371*t[50])/12 + 
       (127*t[51])/16 + (129*t[52])/4 + (127*t[53])/8 + 25*t[54] - 
       (8*t[59])/3 - (443*t[60])/4 - (1915*t[61])/12 + (597*t[62])/4 + 
       (1105*t[63])/12 - (55*t[64])/8 + (1214*t[65])/9 + (1259*t[66])/36 + 
       10*t[68] - t[69] - 23*t[72] + 64*t[73] - 20*t[74] - 108*t[75] + 
       26*t[76] + (23*t[77])/3 - (118*t[78])/3 + 26*t[79] + (226*t[80])/3 + 
       (23*t[81])/3 + (37*t[82])/3 + (21*t[83])/2 + (61*t[84])/12 + 
       (199*t[85])/12 - 98*t[86] + (105*t[87])/4 + (105*t[88])/8 + 
       (535*t[89])/8 - 10*t[96] - (20*t[97])/3 + 388*t[98] - 428*t[99] + 
       33*t[100] + 4*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*(-19*t[2] + (277*t[3])/12 - 
       (183*t[4])/8 + (1319*t[5])/24 - (913*t[6])/48 - 44*t[7] - 
       (345*t[8])/4 - (91*t[9])/2 + (2881*t[10])/48 - (1387*t[11])/48 - 
       (889*t[12])/48 - (1255*t[13])/72 - (13043*t[14])/288 - 
       (405*t[15])/16 + 2*t[20] - 2*t[25] + 2*t[26] + 2*t[27] - 6*t[28] - 
       3*t[29] + t[30] + (2*t[31])/3 - t[32] + t[33] - 8*t[35] + 6*t[36] + 
       2*t[37] + t[39] + t[40]/2 + 2*t[41] - 2*t[42] + (16*t[43])/3 - 
       (13*t[44])/2 - 7*t[45] + (3*t[46])/2 + 15*t[47] - (37*t[48])/16 + 
       (415*t[49])/48 + (29*t[50])/48 - (333*t[51])/32 - (29*t[52])/48 - 
       (415*t[53])/48 - (1667*t[54])/48 - (533*t[60])/12 - (949*t[61])/4 - 
       (311*t[62])/24 + (101*t[63])/8 + (783*t[64])/8 - (177*t[65])/4 + 
       (1835*t[66])/36 - 14*t[68] + 4*t[69] + 8*t[72] - 10*t[73] - 4*t[74] + 
       60*t[75] + 24*t[76] - 10*t[77] - 32*t[78] + 21*t[79] + 26*t[80] - 
       8*t[81] + (53*t[82])/3 - 32*t[83] - (293*t[84])/12 + (11*t[85])/12 - 
       (13*t[86])/3 + (133*t[87])/12 + (133*t[88])/24 + (163*t[89])/8 + 
       16*t[98] - 40*t[99] + 102*t[100] + 4*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-31*t[1])/6 + (25*t[2])/4 - (34*t[3])/3 + (871*t[4])/12 - 
       (165*t[5])/8 + (83*t[6])/12 + (715*t[7])/12 - (341*t[8])/6 + 
       (1633*t[9])/24 - (59*t[10])/3 + (841*t[11])/6 - (431*t[12])/24 + 
       (2035*t[13])/24 + (10259*t[14])/144 - (1037*t[15])/144 + (7*t[16])/3 + 
       6*t[25] + (34*t[26])/3 + 6*t[27] + 8*t[28] - 2*t[29] - 8*t[31] - 
       t[32] + t[33] + 2*t[34] - 8*t[35] + (5*t[36])/3 - 4*t[37] - 
       (13*t[38])/3 + (25*t[39])/3 + (7*t[40])/3 - t[41] + t[42] + 
       (3*t[43])/2 + 16*t[44] + (41*t[45])/12 + (11*t[46])/6 - (47*t[47])/6 - 
       (59*t[48])/6 - (61*t[49])/6 + (41*t[50])/6 - (407*t[51])/48 - 
       (15*t[52])/2 - (17*t[53])/2 - 31*t[54] + (619*t[60])/4 + 
       (755*t[61])/6 - (985*t[62])/8 - (1457*t[63])/24 - (1115*t[64])/12 - 
       (322*t[65])/3 - (5087*t[66])/18 - 6*t[69] + (8*t[70])/3 - 
       (8*t[71])/3 + 10*t[72] + 34*t[73] + 18*t[74] - 54*t[75] + 
       (55*t[76])/3 - 8*t[77] - 27*t[78] + 23*t[79] + (65*t[80])/3 + 
       (29*t[81])/3 - (55*t[82])/3 - 40*t[83] + 61*t[84] + (203*t[85])/6 + 
       (193*t[86])/6 - (1115*t[87])/12 - (241*t[88])/8 + (5*t[89])/8 - 
       t[91]/6 - (20*t[95])/3 - (26*t[96])/3 - (8*t[97])/3 + 136*t[98] - 
       92*t[99] - 424*t[100] + 6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-11*t[1])/6 + (25*t[2])/12 - 
       (1427*t[3])/24 + (136*t[4])/3 - (181*t[5])/4 + (303*t[6])/8 + 
       (679*t[7])/24 + (1501*t[8])/24 + (3155*t[9])/24 - (1615*t[10])/24 + 
       (299*t[11])/4 - (73*t[12])/6 + (14099*t[13])/432 + (4373*t[14])/36 - 
       (5939*t[15])/216 + 2*t[17] + 4*t[19] - 2*t[20] - 10*t[22] + 
       (14*t[24])/3 - (10*t[27])/3 - (38*t[29])/3 - 32*t[30] - 4*t[31] + 
       (22*t[32])/3 - 3*t[33] + (8*t[34])/3 + 8*t[35] + t[36] - 
       (20*t[37])/3 - t[38] + (15*t[39])/2 + t[40]/3 + t[41]/3 - t[42]/3 - 
       (29*t[43])/24 - (21*t[44])/4 + (58*t[45])/3 - (13*t[46])/6 - 
       (71*t[47])/3 + (175*t[48])/6 + (37*t[49])/12 - (39*t[50])/4 - 
       (14*t[51])/3 + (149*t[52])/12 - (85*t[53])/12 + (63*t[54])/2 - 
       t[55]/3 - t[56] - 2*t[57] + (619*t[60])/4 + (755*t[61])/6 - 
       (985*t[62])/8 - (1457*t[63])/24 - (1115*t[64])/12 - (322*t[65])/3 - 
       (5087*t[66])/18 - 6*t[69] + (8*t[70])/3 - (8*t[71])/3 + 10*t[72] + 
       34*t[73] + 18*t[74] - 54*t[75] + (55*t[76])/3 - 8*t[77] - 27*t[78] + 
       23*t[79] + (65*t[80])/3 + (29*t[81])/3 - (55*t[82])/3 - 40*t[83] + 
       61*t[84] + (203*t[85])/6 + (193*t[86])/6 - (1115*t[87])/12 - 
       (241*t[88])/8 + (5*t[89])/8 - t[91]/6 - (20*t[95])/3 - (26*t[96])/3 - 
       (8*t[97])/3 + 136*t[98] - 92*t[99] - 424*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v]*
      (3*t[1] - (29*t[2])/4 - (725*t[3])/48 + (17*t[4])/2 - (27*t[5])/2 + 
       (3923*t[6])/96 + (17*t[7])/2 + (213*t[8])/4 + (1799*t[9])/48 - 
       (103*t[10])/4 + (2701*t[11])/96 - (19*t[12])/3 + (561*t[13])/16 + 
       (17945*t[14])/288 + (4411*t[15])/216 + 3*t[19] + 3*t[20] - 3*t[22] - 
       (2*t[23])/3 + 3*t[24] - 3*t[28] - (263*t[29])/24 + (21*t[30])/2 - 
       9*t[31] - (7*t[32])/3 + (8*t[33])/3 + (25*t[34])/6 - 21*t[35] - 
       9*t[37] - (5*t[39])/3 + (5*t[40])/2 + (3*t[41])/2 - (3*t[42])/2 + 
       (3*t[43])/2 - (125*t[44])/4 - (3*t[46])/2 + (2077*t[48])/96 - 
       (49*t[49])/4 - (1091*t[50])/96 + (11*t[51])/4 + (1091*t[52])/96 + 
       (187*t[53])/12 + (3179*t[54])/96 - (2*t[59])/3 + (5705*t[60])/48 - 
       (247*t[61])/16 - (895*t[62])/48 - (5765*t[63])/48 - (17165*t[64])/96 - 
       (5729*t[65])/72 - (15085*t[66])/144 + 3*t[69] - 6*t[72] - 18*t[73] + 
       (38*t[74])/3 - 9*t[75] + (68*t[76])/3 + (15*t[77])/2 - 29*t[78] + 
       15*t[79] + 27*t[80] - (19*t[81])/6 - (25*t[82])/6 - 65*t[83] + 
       (239*t[84])/48 + (887*t[85])/48 - 47*t[86] - (2405*t[87])/48 - 
       (2405*t[88])/96 + (6229*t[89])/96 - (40*t[95])/3 + 204*t[98] - 
       168*t[99] - 174*t[100] + 6*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - w]*((-19*t[1])/6 - (27*t[2])/2 + (77*t[3])/8 + 
       (1639*t[4])/12 + (389*t[5])/16 + (767*t[6])/24 + (417*t[7])/8 - 
       (553*t[8])/8 + (1319*t[9])/16 - (357*t[10])/8 + (851*t[11])/8 - 
       (457*t[12])/16 + (6043*t[13])/144 + (995*t[14])/48 - 
       (14407*t[15])/288 - (11*t[19])/9 - 2*t[25] + (11*t[26])/3 + 3*t[27] - 
       6*t[29] - 6*t[30] - 3*t[35] - (38*t[36])/3 + (37*t[37])/12 - 
       (5*t[38])/3 + 6*t[39] - 6*t[40] + (15*t[43])/4 + 12*t[44] - 
       (21*t[45])/2 - (21*t[46])/4 + 21*t[47] + (7*t[48])/4 + 
       (157*t[49])/12 - (45*t[50])/4 - (367*t[51])/24 + (45*t[52])/4 - 
       (68*t[53])/3 - (457*t[54])/6 + (7*t[59])/3 + (6077*t[60])/48 - 
       (603*t[61])/16 - (1021*t[62])/48 - (6815*t[63])/48 - 
       (17297*t[64])/96 - (5417*t[65])/72 - (14149*t[66])/144 + 15*t[69] - 
       3*t[70] + 3*t[71] - 9*t[73] + (29*t[74])/3 + (68*t[76])/3 + 
       (15*t[77])/2 - 29*t[78] + 6*t[79] + 27*t[80] - (14*t[81])/3 - 
       (8*t[82])/3 - (115*t[83])/2 + (335*t[84])/48 + (1115*t[85])/48 - 
       26*t[86] - (3065*t[87])/48 - (3065*t[88])/96 + (6217*t[89])/96 - 
       (40*t[95])/3 + 204*t[98] - 168*t[99] - 165*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*
      ((-9*t[1])/2 + (27*t[2])/4 + 6*t[3] + (347*t[4])/8 - (491*t[5])/16 - 
       9*t[6] + (533*t[7])/8 - (381*t[8])/8 + (895*t[9])/16 - 
       (361*t[10])/16 + (197*t[11])/4 + (17*t[12])/4 + (2957*t[13])/144 + 
       (2989*t[14])/96 - (1691*t[15])/288 + 2*t[27] - 10*t[28] - t[29]/2 - 
       2*t[30] + 2*t[31] - (25*t[32])/2 + 2*t[33] + 23*t[34] - 6*t[35] - 
       41*t[36] - 2*t[37] - (9*t[38])/2 + 5*t[39] - (23*t[40])/2 - t[41] + 
       t[42] - (7*t[43])/4 - (23*t[44])/4 - 16*t[45] - (5*t[46])/2 + 
       (29*t[47])/2 - (49*t[48])/8 + (243*t[49])/16 + (55*t[50])/8 - 
       (51*t[51])/32 - (31*t[52])/8 - (243*t[53])/16 - (79*t[54])/4 - 
       (27*t[59])/4 + (155*t[60])/8 - (221*t[61])/8 - (1487*t[62])/16 + 
       (175*t[63])/16 - (177*t[64])/16 - (507*t[65])/8 - (1723*t[66])/24 - 
       2*t[70] + 2*t[71] + 2*t[72] - 66*t[73] - t[74] + 86*t[75] + 30*t[76] + 
       5*t[77] - (51*t[78])/2 - 30*t[79] + 11*t[80] + (29*t[81])/2 - 
       (17*t[82])/2 - 2*t[83] - (71*t[84])/8 - (23*t[85])/8 + 92*t[86] - 
       (433*t[87])/8 - (673*t[88])/16 - (275*t[89])/16 + 2*t[95] + 6*t[96] - 
       t[97]/2 + 48*t[98] + 12*t[99] - 123*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*((3*t[1])/4 - 12*t[2] + 
       (41*t[3])/8 + 3*t[4] - (155*t[5])/16 - (241*t[6])/16 + (79*t[7])/8 - 
       (291*t[8])/8 + (985*t[9])/16 + (17*t[10])/2 + (305*t[11])/16 - 
       (419*t[12])/16 - (97*t[13])/144 + (64*t[14])/3 - (4301*t[15])/288 + 
       3*t[19] - 4*t[25] - 2*t[26] - 3*t[27] + 8*t[28] + 3*t[29] + t[30] - 
       t[32] + t[33] + (3*t[34])/2 + 6*t[35] - 8*t[36] - t[37] + 
       (7*t[38])/2 + 3*t[39] + (11*t[40])/2 - (3*t[41])/4 + (3*t[42])/4 - 
       (3*t[43])/4 - (9*t[44])/2 + (7*t[45])/2 + 2*t[46] - 8*t[47] - 
       (77*t[48])/16 + (205*t[49])/8 - (73*t[50])/16 - (25*t[51])/4 + 
       (17*t[52])/16 - (129*t[53])/8 + (109*t[54])/16 - 2*t[58] - 
       (27*t[59])/4 + (155*t[60])/8 - (221*t[61])/8 - (1487*t[62])/16 + 
       (175*t[63])/16 - (177*t[64])/16 - (507*t[65])/8 - (1723*t[66])/24 - 
       2*t[70] + 2*t[71] + 2*t[72] - 66*t[73] - t[74] + 86*t[75] + 30*t[76] + 
       5*t[77] - (51*t[78])/2 - 30*t[79] + 11*t[80] + (29*t[81])/2 - 
       (17*t[82])/2 - 2*t[83] - (71*t[84])/8 - (23*t[85])/8 + 92*t[86] - 
       (433*t[87])/8 - (673*t[88])/16 - (275*t[89])/16 + 2*t[95] + 6*t[96] - 
       t[97]/2 + 48*t[98] + 12*t[99] - 123*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-7*t[1])/2 + (51*t[2])/4 - (187*t[3])/4 + (69*t[4])/2 - 
       (825*t[5])/16 - (51*t[6])/16 + (601*t[7])/8 + (197*t[8])/8 + 
       (1299*t[9])/16 + (397*t[10])/8 + (1767*t[11])/16 + (621*t[12])/16 + 
       (4195*t[13])/144 + (171*t[14])/2 + (10471*t[15])/288 - 2*t[17] + 
       2*t[19] + 20*t[20] - 14*t[21] + 3*t[22] + 16*t[23] - 24*t[24] - 
       2*t[27] - 18*t[28] + (3*t[29])/2 + 12*t[30] - 3*t[32] - 11*t[33] + 
       11*t[34] + 20*t[35] - 3*t[36] - 12*t[37] + 2*t[38] - 11*t[39] + 
       8*t[40] - (5*t[41])/2 + t[42] + (21*t[43])/4 - (11*t[44])/4 - 
       12*t[45] - (3*t[46])/2 + 8*t[47] - (415*t[48])/16 + 7*t[49] + 
       (637*t[50])/16 + (33*t[51])/8 - (797*t[52])/16 - 7*t[53] - 
       (501*t[54])/16 + t[56]/2 + (5*t[59])/2 + (503*t[60])/8 + 
       (1173*t[61])/8 - (1235*t[62])/16 + (371*t[63])/16 - (3783*t[64])/16 + 
       (79*t[65])/24 - (3331*t[66])/24 - (5*t[68])/2 + 16*t[69] + 6*t[72] - 
       46*t[73] - 20*t[74] + 28*t[75] - 64*t[76] + 6*t[77] + 77*t[78] - 
       12*t[79] - 32*t[80] - 6*t[81] - 13*t[82] + 40*t[83] - (39*t[84])/8 - 
       (179*t[85])/8 + 26*t[86] + (43*t[87])/8 + (43*t[88])/16 + 
       (195*t[89])/16 + (3*t[90])/2 + t[91]/6 + 2*t[93] - t[97] - 276*t[98] + 
       528*t[99] - 83*t[100] + 6*t[102]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*(7*t[1] - t[2] + 
       (73*t[3])/8 + (553*t[4])/8 - (375*t[5])/16 + (263*t[6])/8 + 
       (139*t[7])/8 - (257*t[8])/8 + (875*t[9])/16 - (777*t[10])/16 - 
       (197*t[11])/8 - (217*t[12])/4 - (277*t[13])/48 - (181*t[14])/96 - 
       (2015*t[15])/96 + (3*t[16])/2 - t[25] - 16*t[26] - 2*t[27] + 2*t[28] - 
       (9*t[29])/2 + t[30] - 2*t[31] + t[32] - t[33] - t[34] + 18*t[36] + 
       10*t[37] + 4*t[38] - 4*t[39] - (7*t[41])/2 + (7*t[42])/2 + 
       (5*t[43])/4 - 16*t[44] - (9*t[45])/2 - (31*t[46])/2 + 10*t[47] + 
       14*t[48] + (427*t[49])/16 - 10*t[50] + (279*t[51])/32 + 15*t[52] - 
       (411*t[53])/16 + t[54]/8 + t[58] + (5*t[59])/2 + (503*t[60])/8 + 
       (1173*t[61])/8 - (1235*t[62])/16 + (371*t[63])/16 - (3783*t[64])/16 + 
       (79*t[65])/24 - (3331*t[66])/24 - (5*t[68])/2 + 16*t[69] + 6*t[72] - 
       46*t[73] - 20*t[74] + 28*t[75] - 64*t[76] + 6*t[77] + 77*t[78] - 
       12*t[79] - 32*t[80] - 6*t[81] - 13*t[82] + 40*t[83] - (39*t[84])/8 - 
       (179*t[85])/8 + 26*t[86] + (43*t[87])/8 + (43*t[88])/16 + 
       (195*t[89])/16 + (3*t[90])/2 + t[91]/6 + 2*t[93] - t[97] - 276*t[98] + 
       528*t[99] - 83*t[100] + 6*t[102]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*(-t[1]/2 - (33*t[2])/4 - 
       (137*t[3])/8 + t[4]/8 + (301*t[5])/16 - (57*t[6])/4 + (87*t[7])/8 - 
       (127*t[8])/8 - (565*t[9])/16 + (433*t[10])/16 + (77*t[11])/4 - 
       (161*t[12])/8 + (2591*t[13])/144 - (149*t[14])/96 + (569*t[15])/96 + 
       4*t[20] - 4*t[22] + 6*t[27] - 14*t[28] - 16*t[29] + 9*t[30] + t[33] + 
       12*t[34] + 6*t[35] + 3*t[36] + 2*t[37] - 5*t[39] + (7*t[40])/2 + 
       t[41] - t[42] - 2*t[43] + 3*t[44] + 13*t[45] + (3*t[46])/2 - 
       25*t[47] - (181*t[48])/8 + (73*t[49])/16 - (25*t[50])/8 - 
       (121*t[51])/32 + (25*t[52])/8 - (73*t[53])/16 - (105*t[54])/4 - 
       3*t[59] + (59*t[60])/8 + (81*t[61])/8 - (1425*t[62])/16 - 
       (759*t[63])/16 + (641*t[64])/16 + (79*t[65])/24 - (869*t[66])/8 - 
       6*t[68] + 4*t[69] + 7*t[72] - 38*t[73] + 56*t[75] - (19*t[76])/2 + 
       t[77] + 20*t[78] - 16*t[79] - 26*t[80] - (11*t[81])/2 - (9*t[82])/2 - 
       16*t[83] - (15*t[84])/8 + (11*t[85])/8 + 34*t[86] + (281*t[87])/8 + 
       (345*t[88])/16 + (301*t[89])/16 - 4*t[95] - 180*t[98] + 320*t[99] - 
       67*t[100] + 6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((7*t[1])/2 - (21*t[2])/4 - (37*t[3])/8 + 
       21*t[4] - (603*t[5])/16 + (327*t[6])/16 + (183*t[7])/8 + 
       (333*t[8])/8 + (865*t[9])/16 + (67*t[10])/8 + (457*t[11])/16 + 
       (15*t[12])/16 + (2605*t[13])/144 + (473*t[14])/24 - (5845*t[15])/288 + 
       4*t[25] - 8*t[26] + t[27] + t[29] - 5*t[30] + 5*t[31] + t[32] - 
       t[33] + 2*t[35] - 3*t[36] + 4*t[38] + 7*t[39] - (7*t[40])/2 - 
       (13*t[43])/2 + (5*t[44])/2 - 2*t[45] + 2*t[46] + 5*t[47] + 
       (287*t[48])/16 - (51*t[49])/2 - (101*t[50])/16 + (43*t[51])/4 + 
       (101*t[52])/16 + (45*t[53])/2 + (97*t[54])/16 - 3*t[59] + 
       (59*t[60])/8 + (81*t[61])/8 - (1425*t[62])/16 - (759*t[63])/16 + 
       (641*t[64])/16 + (79*t[65])/24 - (869*t[66])/8 - 6*t[68] + 4*t[69] + 
       7*t[72] - 38*t[73] + 56*t[75] - (19*t[76])/2 + t[77] + 20*t[78] - 
       16*t[79] - 26*t[80] - (11*t[81])/2 - (9*t[82])/2 - 16*t[83] - 
       (15*t[84])/8 + (11*t[85])/8 + 34*t[86] + (281*t[87])/8 + 
       (345*t[88])/16 + (301*t[89])/16 - 4*t[95] - 180*t[98] + 320*t[99] - 
       67*t[100] + 6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((11*t[1])/6 - (215*t[2])/12 - (327*t[3])/8 + 
       (209*t[4])/6 + (259*t[5])/24 + (277*t[6])/8 + (417*t[7])/8 + 
       (307*t[8])/8 + (203*t[9])/2 + (45*t[10])/8 + (187*t[11])/4 - 
       (89*t[12])/8 + (401*t[13])/16 + (253*t[14])/6 + (301*t[15])/432 + 
       (16*t[17])/3 - 6*t[19] + 24*t[20] + 6*t[21] - 12*t[22] - 6*t[23] + 
       4*t[24] + 2*t[27] + 22*t[28] + (19*t[29])/3 - (38*t[30])/3 + 
       (8*t[31])/3 + 3*t[32] + (5*t[33])/3 + 4*t[34] - 10*t[35] + 7*t[36] + 
       (70*t[37])/3 + (4*t[38])/3 + (47*t[39])/6 - (8*t[40])/3 + 
       (91*t[43])/8 - (227*t[44])/12 + 6*t[45] + (13*t[46])/6 - 
       (25*t[47])/3 + (175*t[48])/12 + 13*t[49] - (121*t[50])/6 - 
       (193*t[51])/24 + (113*t[52])/6 - (23*t[53])/3 - (67*t[54])/12 + 
       t[55]/3 - t[56] + 2*t[57] + (13*t[59])/3 + (925*t[60])/12 + 
       (673*t[61])/6 - (1067*t[62])/24 - (235*t[63])/8 - (763*t[64])/12 - 
       (835*t[65])/18 - (3085*t[66])/18 - (8*t[68])/3 + 12*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 - (4*t[72])/3 + 54*t[73] - 38*t[75] + 
       (179*t[76])/3 + (46*t[77])/3 - (245*t[78])/3 - 11*t[79] + 
       (7*t[80])/3 + (47*t[81])/3 - 27*t[82] - 72*t[83] + 3*t[84] + 
       (59*t[85])/2 - (135*t[86])/2 - (841*t[87])/12 - (881*t[88])/24 + 
       (2735*t[89])/24 - t[91]/6 + 2*t[93] - (8*t[95])/3 + (28*t[96])/3 + 
       (14*t[97])/3 + 392*t[98] - 420*t[99] - 28*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-38*t[1])/3 + (75*t[2])/4 - (409*t[3])/12 + (1061*t[4])/24 - 
       (147*t[5])/4 + (523*t[6])/12 + 54*t[7] + (237*t[8])/4 + 111*t[9] + 
       (315*t[10])/16 + (347*t[11])/6 + (1801*t[12])/48 + (6343*t[13])/216 + 
       (19333*t[14])/288 - (247*t[15])/48 + (5*t[16])/3 + 14*t[25] + 
       (59*t[26])/3 + (34*t[27])/3 + 8*t[28] - 2*t[30] - 14*t[31] + t[32] - 
       t[33] - t[34] - 16*t[35] - (5*t[36])/3 + 14*t[37] - (50*t[38])/3 + 
       (14*t[39])/3 - (37*t[40])/3 + t[41]/2 - t[42]/2 + (3*t[43])/2 - 
       (157*t[45])/12 - (19*t[46])/6 + (163*t[47])/6 + (307*t[48])/12 - 
       (769*t[49])/48 + (355*t[50])/12 - (617*t[51])/96 + (3*t[52])/4 + 
       (625*t[53])/48 - (75*t[54])/8 + 5*t[58] + (7*t[59])/2 - 
       (295*t[60])/24 - (1253*t[61])/24 + (7*t[62])/16 - (3965*t[63])/48 - 
       (2297*t[64])/48 - (725*t[65])/72 - (3205*t[66])/24 - (8*t[68])/3 + 
       2*t[69] - (4*t[70])/3 + (4*t[71])/3 + 2*t[72] + 24*t[73] - 28*t[75] - 
       12*t[76] - (4*t[77])/3 - (25*t[78])/3 - t[79] - t[80] - 11*t[81] - 
       12*t[82] - 57*t[83] + (1067*t[84])/24 + (343*t[85])/24 + 
       (55*t[86])/6 + (353*t[87])/24 + (91*t[88])/16 + (3515*t[89])/48 - 
       t[91]/6 + 2*t[93] - (8*t[95])/3 - (32*t[96])/3 - (41*t[97])/3 - 
       68*t[98] + 40*t[99] + 42*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-23*t[1])/2 - (31*t[2])/4 + (211*t[3])/8 + 35*t[4] + (35*t[5])/16 - 
       (437*t[6])/16 - (43*t[7])/8 + (23*t[8])/8 - (413*t[9])/16 + 
       (131*t[10])/2 - (847*t[11])/16 - (481*t[12])/16 - (2713*t[13])/48 - 
       (1751*t[14])/24 + (769*t[15])/288 + 4*t[25] + 5*t[26] + 3*t[27] - 
       3*t[29] + 3*t[30] - 8*t[31] + t[32] - t[33] + t[34] + 2*t[35] - 
       4*t[36] - 6*t[37] - (19*t[38])/2 + t[39]/2 + (7*t[40])/2 - t[41]/2 + 
       t[42]/2 - (19*t[43])/4 - (35*t[44])/2 - t[45]/2 + 5*t[46] + 2*t[47] + 
       (63*t[48])/16 + (155*t[49])/8 + (43*t[50])/16 - (37*t[51])/2 - 
       (155*t[52])/16 - (267*t[53])/8 - (575*t[54])/16 + (5*t[59])/2 - 
       (981*t[60])/8 - (805*t[61])/8 - (463*t[62])/16 + (439*t[63])/16 - 
       (705*t[64])/16 + (881*t[65])/8 + (4957*t[66])/24 - 8*t[68] + 
       10*t[70] - 10*t[71] + 12*t[72] - 56*t[73] + 5*t[74] + 38*t[75] - 
       8*t[76] - 4*t[77] - 22*t[78] - 6*t[79] - 10*t[80] - 11*t[81] + 
       22*t[82] + 44*t[83] - (227*t[84])/8 - (127*t[85])/8 + 92*t[86] + 
       (615*t[87])/8 + (919*t[88])/16 + (717*t[89])/16 - 10*t[95] - 6*t[96] + 
       2*t[97] - 204*t[98] + 312*t[99] + 43*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      (t[1]/2 + 6*t[2] - (75*t[3])/2 - (437*t[4])/8 - (501*t[5])/16 + 
       (51*t[6])/2 + (271*t[7])/8 + (633*t[8])/8 + (725*t[9])/16 + 
       (159*t[10])/16 - (155*t[11])/2 - (99*t[12])/8 - (7463*t[13])/144 - 
       (1675*t[14])/96 + (1405*t[15])/96 + 8*t[27] - 14*t[28] + 
       (17*t[29])/2 - (51*t[30])/2 - 4*t[31] + 17*t[32] + 2*t[33] - 
       14*t[34] + 2*t[35] - 3*t[36] + 2*t[37] - t[38]/2 - 8*t[39] + 9*t[40] + 
       t[41]/2 - t[42]/2 - (7*t[43])/4 - (65*t[44])/4 + (11*t[45])/2 + 
       (3*t[46])/2 - 9*t[47] + (275*t[48])/8 + (31*t[49])/16 + 
       (167*t[50])/8 + (25*t[51])/32 - (95*t[52])/8 - (63*t[53])/16 + 
       (135*t[54])/4 + (5*t[59])/2 - (981*t[60])/8 - (805*t[61])/8 - 
       (463*t[62])/16 + (439*t[63])/16 - (705*t[64])/16 + (881*t[65])/8 + 
       (4957*t[66])/24 - 8*t[68] + 10*t[70] - 10*t[71] + 12*t[72] - 
       56*t[73] + 5*t[74] + 38*t[75] - 8*t[76] - 4*t[77] - 22*t[78] - 
       6*t[79] - 10*t[80] - 11*t[81] + 22*t[82] + 44*t[83] - (227*t[84])/8 - 
       (127*t[85])/8 + 92*t[86] + (615*t[87])/8 + (919*t[88])/16 + 
       (717*t[89])/16 - 10*t[95] - 6*t[96] + 2*t[97] - 204*t[98] + 
       312*t[99] + 43*t[100] + 6*t[102]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((-41*t[1])/6 - (17*t[2])/6 + 
       (125*t[3])/4 + (1235*t[4])/48 - (167*t[5])/4 - (921*t[6])/16 + 
       (191*t[7])/4 - (2341*t[8])/12 + (1675*t[9])/24 + (2269*t[10])/96 + 
       (307*t[11])/16 - (127*t[12])/96 - (17*t[13])/216 - (10187*t[14])/192 - 
       (8737*t[15])/288 + 2*t[25] + (13*t[27])/3 - (44*t[28])/3 + 
       (23*t[29])/3 - (23*t[30])/3 - t[31]/3 + t[32] - t[33] + (10*t[34])/3 - 
       12*t[35] - 5*t[36] - 6*t[37] - (11*t[38])/3 - 5*t[39] + (9*t[40])/2 - 
       (7*t[41])/6 + (7*t[42])/6 - (2*t[43])/3 + (125*t[44])/6 - 13*t[45] + 
       (17*t[46])/2 + 27*t[47] - (2959*t[48])/48 - (811*t[49])/32 + 
       (2405*t[50])/48 - (121*t[51])/64 - (2629*t[52])/48 + (545*t[53])/96 - 
       (623*t[54])/12 - t[59]/6 - (133*t[60])/16 - (2729*t[61])/16 - 
       (3779*t[62])/96 + (1891*t[63])/96 - (6463*t[64])/96 - (43*t[65])/144 + 
       (11671*t[66])/144 - 12*t[68] + 2*t[69] + 6*t[70] - 6*t[71] + 
       (38*t[72])/3 - 53*t[73] + 4*t[74] + 25*t[75] - (107*t[76])/6 - 
       (31*t[77])/3 + (8*t[78])/3 + 7*t[79] + (58*t[80])/3 - (58*t[81])/3 + 
       (7*t[82])/2 + 20*t[83] + (281*t[84])/48 + (1381*t[85])/48 + 
       (175*t[86])/3 - (599*t[87])/48 + (1321*t[88])/96 + (475*t[89])/96 - 
       8*t[95] - 16*t[96] - (8*t[97])/3 - 122*t[98] + 102*t[99] + 
       147*t[100] + 6*t[102]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-4*t[1])/3 + (37*t[2])/6 - (161*t[3])/12 - 
       (247*t[4])/8 + (227*t[5])/6 + (2681*t[6])/96 - (865*t[7])/24 + 
       (231*t[8])/8 - (713*t[9])/48 + (1777*t[10])/48 - (5969*t[11])/96 - 
       (1685*t[12])/48 - (7171*t[13])/108 + (4027*t[14])/144 - 
       (5549*t[15])/864 - 2*t[18] - 2*t[20] + 2*t[22] - (10*t[27])/3 - 
       11*t[28] - (61*t[29])/12 - 9*t[30] - t[31]/3 + (41*t[32])/3 + 
       (13*t[33])/3 + (10*t[34])/3 + 4*t[35] + 2*t[37] - (5*t[38])/3 - 
       (59*t[39])/12 - (2*t[41])/3 + (2*t[42])/3 + (19*t[43])/3 - 
       (265*t[44])/12 + t[45] - 5*t[46] - (25*t[47])/3 + (937*t[48])/32 + 
       (979*t[49])/48 + (403*t[50])/96 - (935*t[51])/96 + (685*t[52])/96 - 
       (433*t[53])/16 + (135*t[54])/32 - t[59]/6 - (133*t[60])/16 - 
       (2729*t[61])/16 - (3779*t[62])/96 + (1891*t[63])/96 - 
       (6463*t[64])/96 - (43*t[65])/144 + (11671*t[66])/144 - 12*t[68] + 
       2*t[69] + 6*t[70] - 6*t[71] + (38*t[72])/3 - 53*t[73] + 4*t[74] + 
       25*t[75] - (107*t[76])/6 - (31*t[77])/3 + (8*t[78])/3 + 7*t[79] + 
       (58*t[80])/3 - (58*t[81])/3 + (7*t[82])/2 + 20*t[83] + 
       (281*t[84])/48 + (1381*t[85])/48 + (175*t[86])/3 - (599*t[87])/48 + 
       (1321*t[88])/96 + (475*t[89])/96 - 8*t[95] - 16*t[96] - (8*t[97])/3 - 
       122*t[98] + 102*t[99] + 147*t[100] + 6*t[102]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((227*t[1])/36 - (1531*t[2])/36 + (265*t[3])/16 + (39493*t[4])/288 + 
       (413*t[5])/8 - (4885*t[6])/192 + (31*t[7])/16 - (6571*t[8])/144 - 
       (5009*t[9])/288 - (4801*t[10])/576 + (23389*t[11])/192 - 
       (20633*t[12])/576 + (277765*t[13])/2592 + (64805*t[14])/1152 - 
       (916*t[15])/27 + (14*t[25])/3 - (19*t[26])/2 - (32*t[27])/9 - 
       (92*t[28])/9 + (95*t[29])/9 - (635*t[30])/36 + (224*t[31])/9 + 
       (16*t[32])/3 - 6*t[33] - (133*t[34])/18 + (88*t[35])/3 - 15*t[36] - 
       (34*t[37])/3 + (49*t[38])/9 - (7*t[39])/3 + (95*t[40])/12 + 
       (115*t[41])/36 - (115*t[42])/36 + (22*t[43])/9 + (587*t[44])/72 - 
       (5*t[45])/3 - (55*t[46])/6 + (19*t[47])/3 - (5221*t[48])/576 + 
       (9271*t[49])/192 - (39493*t[50])/576 - (2987*t[51])/384 + 
       (21413*t[52])/576 - (23333*t[53])/576 - (24881*t[54])/576 - 
       (19*t[58])/6 - (29*t[59])/36 + (1963*t[60])/8 + (905*t[61])/8 - 
       (29371*t[62])/144 - (42661*t[63])/144 - (8597*t[64])/144 - 
       (61799*t[65])/216 - (76507*t[66])/216 - 4*t[68] - (19*t[69])/3 - 
       (55*t[72])/9 - (125*t[73])/3 + (28*t[74])/3 + (203*t[75])/3 + 
       (1177*t[76])/18 + (122*t[77])/9 - (622*t[78])/9 - (133*t[79])/3 + 
       (385*t[80])/9 - (359*t[81])/18 - (161*t[82])/6 - (121*t[83])/2 - 
       (4931*t[84])/72 + (1505*t[85])/72 + (25*t[86])/9 - (9133*t[87])/72 - 
       (9133*t[88])/144 + (2009*t[89])/144 - (32*t[95])/3 + (82*t[96])/3 + 
       (401*t[97])/18 + (838*t[98])/3 - (754*t[99])/3 - (199*t[100])/3 - 
       4*t[101] + 6*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*((20*t[1])/3 - (415*t[2])/12 + (83*t[3])/8 + 
       (73*t[4])/3 + (1343*t[5])/48 - (2131*t[6])/48 - (821*t[7])/24 - 
       (2317*t[8])/24 - (191*t[9])/16 + (409*t[10])/24 - (3133*t[11])/48 - 
       (3499*t[12])/48 + (6055*t[13])/432 - (791*t[14])/72 - 
       (27983*t[15])/864 - 15*t[26] + (2*t[27])/3 - (16*t[28])/3 - 
       (5*t[29])/2 - (20*t[30])/3 + (70*t[31])/3 - (5*t[32])/3 + 
       (7*t[33])/3 + t[34]/3 + 38*t[35] - 19*t[36] - 10*t[37] + 
       (37*t[38])/3 - (8*t[39])/3 + (97*t[40])/6 - t[41]/6 + t[42]/6 + 
       (23*t[43])/12 + (25*t[44])/2 + (23*t[45])/6 - t[46]/2 - 9*t[47] - 
       (1615*t[48])/48 + (577*t[49])/12 - (2915*t[50])/48 - (157*t[51])/12 + 
       (1523*t[52])/48 - (469*t[53])/12 - (85*t[54])/48 - 5*t[58] - 
       (37*t[59])/6 + (565*t[60])/8 - (399*t[61])/8 - (2561*t[62])/48 - 
       (383*t[63])/48 - (999*t[64])/16 - (823*t[65])/24 + (169*t[66])/72 - 
       (2*t[72])/3 - 34*t[73] + 50*t[75] + (169*t[76])/3 + (41*t[77])/3 - 
       (182*t[78])/3 - 22*t[79] + (38*t[80])/3 + (5*t[81])/3 + (5*t[82])/3 - 
       8*t[83] - (1111*t[84])/24 + (335*t[85])/8 - (52*t[86])/3 - 
       (1387*t[87])/24 - (1403*t[88])/48 + (819*t[89])/16 + 14*t[96] + 
       (43*t[97])/3 + 264*t[98] - 204*t[99] - 14*t[100] + 4*t[101] + 
       6*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-5*t[1])/2 - (11*t[2])/4 + (207*t[3])/8 + 
       (421*t[4])/24 + (359*t[5])/48 - (2989*t[6])/48 + (131*t[7])/24 - 
       (851*t[8])/8 + (71*t[9])/48 - (1351*t[10])/48 + (277*t[11])/48 - 
       23*t[12] + (7565*t[13])/432 - (19951*t[14])/288 - (17465*t[15])/864 + 
       (16*t[27])/3 + 4*t[28] - (25*t[29])/3 + t[30] + (14*t[31])/3 - 
       t[32]/3 + t[33] + 2*t[34] + 2*t[35] - 9*t[36] - 10*t[37] - t[38] - 
       (26*t[39])/3 + (11*t[40])/2 - t[41] + t[42] - (65*t[43])/12 + 
       (43*t[44])/6 - (13*t[45])/6 - t[46]/6 + (13*t[47])/3 - 
       (517*t[48])/48 - (13*t[49])/16 + (1583*t[50])/48 + (511*t[51])/96 - 
       (485*t[52])/16 - (121*t[53])/48 - (2329*t[54])/48 - 7*t[59] - 
       (75*t[60])/4 - (857*t[61])/4 - (203*t[62])/24 - (1469*t[63])/24 - 
       (1121*t[64])/24 + (73*t[65])/36 + (1447*t[66])/36 - 10*t[69] + 
       (8*t[72])/3 - 64*t[73] + 60*t[75] - (46*t[76])/3 - 3*t[77] + 
       (38*t[78])/3 - 12*t[79] + (28*t[80])/3 - 25*t[81] + (50*t[82])/3 + 
       7*t[83] - (29*t[84])/6 + (80*t[85])/3 + (178*t[86])/3 + 27*t[87] + 
       (79*t[88])/6 + (251*t[89])/24 - 6*t[96] - 4*t[97] - 196*t[98] + 
       256*t[99] + 56*t[100] + 4*t[101] + 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((7*t[1])/3 - (29*t[2])/2 - (1607*t[3])/12 + (1229*t[4])/6 - 
       (1597*t[5])/24 + (2039*t[6])/12 - (241*t[7])/12 + (773*t[8])/12 + 
       (315*t[9])/8 + (625*t[10])/6 + (1775*t[11])/12 - (623*t[12])/8 + 
       (10619*t[13])/72 + (8861*t[14])/36 + (14941*t[15])/144 + 4*t[16] + 
       6*t[17] - (40*t[18])/3 + 4*t[20] - (40*t[21])/3 + 12*t[22] + 
       (40*t[23])/3 - (76*t[24])/3 + (20*t[25])/3 + (8*t[26])/3 - 
       (80*t[27])/3 + 4*t[28] + 12*t[29] + 6*t[30] + (88*t[31])/3 + 
       (40*t[32])/3 - (32*t[33])/3 - (100*t[34])/3 + 28*t[35] + 14*t[36] - 
       16*t[37] - (20*t[38])/3 + (8*t[39])/3 - (10*t[40])/3 + (8*t[41])/3 - 
       (28*t[42])/3 + (166*t[43])/3 - (56*t[44])/3 + 16*t[45] - 32*t[46] - 
       (122*t[47])/3 + (155*t[48])/6 - (229*t[49])/12 - (73*t[50])/6 + 
       (871*t[51])/24 + (75*t[52])/2 + (277*t[53])/12 + 49*t[54] + 
       (8*t[57])/3 + (8*t[58])/3 + (106*t[59])/3 + (767*t[60])/6 + 
       (4897*t[61])/6 - (4697*t[62])/12 + (833*t[63])/12 - (3457*t[64])/12 - 
       (12571*t[65])/18 - (7595*t[66])/18 - 12*t[67] - 8*t[68] - 8*t[69] + 
       (80*t[70])/3 - (80*t[71])/3 + 104*t[72] - 132*t[73] - 48*t[74] - 
       8*t[75] - (424*t[76])/3 + (262*t[77])/3 - (68*t[78])/3 - 162*t[79] - 
       64*t[80] - (172*t[81])/3 - (170*t[82])/3 - 32*t[83] - (110*t[84])/3 - 
       42*t[85] - 390*t[86] + 154*t[87] + 77*t[88] + (631*t[89])/12 - 
       (20*t[92])/3 + 16*t[93] + 12*t[94] - 352*t[98] + 480*t[99] - 
       76*t[100] + 12*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*((-20*t[1])/3 - (53*t[2])/3 + 
       (757*t[3])/6 + 102*t[4] + (1027*t[5])/8 + (1177*t[6])/12 - 
       (2789*t[7])/12 - (409*t[8])/4 - (1983*t[9])/8 - (355*t[10])/12 + 
       (719*t[11])/12 - (313*t[12])/24 + (33085*t[13])/216 - 
       (9811*t[14])/72 + (801*t[15])/16 - (19*t[17])/3 + 4*t[19] - 12*t[20] + 
       12*t[22] + (28*t[24])/3 + 8*t[27] + 24*t[28] + 9*t[29] - 
       (52*t[30])/3 + (256*t[31])/3 - (7*t[32])/3 + 40*t[33] - (74*t[34])/3 - 
       16*t[35] - 42*t[36] + (10*t[37])/3 - (70*t[39])/3 - (25*t[40])/3 + 
       (10*t[41])/3 - (10*t[42])/3 + (65*t[43])/6 - (17*t[44])/6 + 
       (17*t[45])/3 - 4*t[46] + (20*t[47])/3 - 54*t[48] - (119*t[49])/2 - 
       (233*t[50])/3 + (613*t[51])/12 + 77*t[52] + (87*t[53])/2 + 
       (275*t[54])/6 + 6*t[55] + 6*t[56] - (19*t[59])/3 - (773*t[60])/6 - 
       345*t[61] + (4489*t[62])/12 - (2971*t[63])/12 - (1201*t[64])/6 - 
       (1522*t[65])/9 + (965*t[66])/18 + (44*t[68])/3 + (4*t[70])/3 - 
       (4*t[71])/3 - 92*t[72] - 64*t[73] + 10*t[74] + 36*t[75] + 
       (14*t[76])/3 + 14*t[77] - (64*t[78])/3 - 62*t[79] + 20*t[80] - 
       (253*t[81])/3 - (77*t[82])/3 - 110*t[83] - (226*t[84])/3 + 
       (575*t[85])/6 - 262*t[86] + (63*t[87])/2 + (253*t[88])/12 + 
       (503*t[89])/4 - 12*t[93] + 4*t[95] - (70*t[96])/3 - (64*t[97])/3 + 
       176*t[98] - 216*t[99] + 164*t[100] + 12*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-29*t[1])/3 + (41*t[2])/2 + (121*t[3])/12 + 60*t[4] + 
       (2089*t[5])/24 + (617*t[6])/4 - (89*t[7])/4 + (1015*t[8])/12 - 
       (247*t[9])/8 - (632*t[10])/3 - (1565*t[11])/12 - (1699*t[12])/24 + 
       (2555*t[13])/216 - (2393*t[14])/24 - (5365*t[15])/144 - 4*t[16] - 
       (68*t[25])/3 + (64*t[26])/3 - (16*t[27])/3 + 10*t[28] - 8*t[30] - 
       (32*t[31])/3 - 4*t[32] + 4*t[33] + 10*t[34] + 40*t[35] - 12*t[36] + 
       (46*t[37])/3 - (8*t[38])/3 - (56*t[39])/3 - (28*t[40])/3 - 5*t[41] + 
       5*t[42] + (103*t[43])/6 - 8*t[44] - (73*t[45])/3 + (2*t[46])/3 + 
       (134*t[47])/3 + (75*t[48])/2 + (59*t[49])/4 + (59*t[50])/6 - 
       (7*t[51])/3 + (185*t[52])/6 - (55*t[53])/4 - (23*t[54])/2 + 2*t[58] - 
       (19*t[59])/3 - (773*t[60])/6 - 345*t[61] + (4489*t[62])/12 - 
       (2971*t[63])/12 - (1201*t[64])/6 - (1522*t[65])/9 + (965*t[66])/18 + 
       (44*t[68])/3 + (4*t[70])/3 - (4*t[71])/3 - 92*t[72] - 64*t[73] + 
       10*t[74] + 36*t[75] + (14*t[76])/3 + 14*t[77] - (64*t[78])/3 - 
       62*t[79] + 20*t[80] - (253*t[81])/3 - (77*t[82])/3 - 110*t[83] - 
       (226*t[84])/3 + (575*t[85])/6 - 262*t[86] + (63*t[87])/2 + 
       (253*t[88])/12 + (503*t[89])/4 - 12*t[93] + 4*t[95] - (70*t[96])/3 - 
       (64*t[97])/3 + 176*t[98] - 216*t[99] + 164*t[100] + 12*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*
      ((-29*t[1])/2 + (69*t[2])/4 + 30*t[3] + (733*t[4])/8 - (1017*t[5])/16 - 
       (719*t[6])/16 + (1309*t[7])/8 - (2057*t[8])/8 + (2439*t[9])/16 - 
       (543*t[10])/16 + (719*t[11])/16 - 31*t[12] + (3989*t[13])/144 + 
       (1303*t[14])/32 - (5159*t[15])/288 + 6*t[27] - 2*t[28] - 8*t[29] + 
       8*t[30] + 6*t[31] - 29*t[32] + 8*t[33] + 53*t[34] - 18*t[35] - 
       79*t[36] - 4*t[37] - (23*t[38])/2 + t[39] - (77*t[40])/4 - 
       (9*t[41])/2 + (9*t[42])/2 - (17*t[43])/4 + (3*t[44])/4 - 
       (73*t[45])/2 - (15*t[46])/2 + 34*t[47] - (987*t[48])/16 + 
       (449*t[49])/16 + (793*t[50])/16 + (159*t[51])/32 - (617*t[52])/16 - 
       (609*t[53])/16 - (963*t[54])/16 - (33*t[59])/2 + 69*t[60] - 
       276*t[61] - (857*t[62])/8 + (585*t[63])/8 - 214*t[64] - 
       (299*t[65])/3 - (110*t[66])/3 + 4*t[68] - 4*t[70] + 4*t[71] - 
       2*t[72] - 94*t[73] - 2*t[74] + 134*t[75] + 44*t[76] + 12*t[77] - 
       40*t[78] - 74*t[79] + 16*t[80] + (51*t[81])/2 - (53*t[82])/2 - 
       52*t[83] + (19*t[84])/4 + (53*t[85])/2 + 116*t[86] - (299*t[87])/2 - 
       (435*t[88])/4 + (33*t[89])/4 + 4*t[95] - 4*t[96] - 11*t[97] + 
       264*t[98] - 156*t[99] - 199*t[100] + 18*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*(-4*t[1] - (101*t[2])/4 + 
       (169*t[3])/8 - (31*t[4])/8 - (389*t[5])/16 - (627*t[6])/16 - 
       (153*t[7])/8 - (1399*t[8])/8 + (2519*t[9])/16 + (321*t[10])/16 - 
       (541*t[11])/16 - 90*t[12] - (1903*t[13])/144 + (4747*t[14])/96 - 
       (5359*t[15])/96 + 6*t[19] - 8*t[25] - 4*t[26] - 3*t[27] + 40*t[28] + 
       9*t[29] + 3*t[30] - 8*t[31] - 3*t[32] + 3*t[33] + 8*t[34] + 18*t[35] - 
       25*t[36] + (9*t[38])/2 + (5*t[39])/2 + (27*t[40])/2 - 4*t[41] + 
       4*t[42] - (9*t[43])/4 - (27*t[44])/2 + (17*t[45])/2 + 7*t[46] - 
       20*t[47] - (403*t[48])/16 + (705*t[49])/16 + (185*t[50])/16 - 
       (531*t[51])/32 - (217*t[52])/16 - (561*t[53])/16 + (65*t[54])/16 - 
       4*t[58] - (33*t[59])/2 + 69*t[60] - 276*t[61] - (857*t[62])/8 + 
       (585*t[63])/8 - 214*t[64] - (299*t[65])/3 - (110*t[66])/3 + 4*t[68] - 
       4*t[70] + 4*t[71] - 2*t[72] - 94*t[73] - 2*t[74] + 134*t[75] + 
       44*t[76] + 12*t[77] - 40*t[78] - 74*t[79] + 16*t[80] + (51*t[81])/2 - 
       (53*t[82])/2 - 52*t[83] + (19*t[84])/4 + (53*t[85])/2 + 116*t[86] - 
       (299*t[87])/2 - (435*t[88])/4 + (33*t[89])/4 + 4*t[95] - 4*t[96] - 
       11*t[97] + 264*t[98] - 156*t[99] - 199*t[100] + 18*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*(-30*t[1] + (63*t[2])/2 + 
       81*t[3] + (579*t[4])/4 - (789*t[5])/8 - (1527*t[6])/16 + 273*t[7] - 
       (1221*t[8])/2 + (1221*t[9])/4 - (273*t[10])/8 - (405*t[11])/16 - 
       (423*t[12])/4 + (95*t[13])/4 + (185*t[14])/8 - 47*t[15] + 12*t[27] + 
       24*t[28] - (9*t[29])/2 + (33*t[30])/2 + 12*t[31] - (99*t[32])/2 + 
       18*t[33] + 90*t[34] - 36*t[35] - 114*t[36] - 6*t[37] - 21*t[38] - 
       12*t[39] - (93*t[40])/4 - (21*t[41])/2 + (21*t[42])/2 - (15*t[43])/2 + 
       (3*t[44])/2 - (123*t[45])/2 - 15*t[46] + (117*t[47])/2 - 
       (2361*t[48])/16 + (309*t[49])/8 + (1851*t[50])/16 + (315*t[51])/16 - 
       (1467*t[52])/16 - (549*t[53])/8 - (1743*t[54])/16 - (117*t[59])/4 + 
       (1533*t[60])/8 - (6303*t[61])/8 - (483*t[62])/16 + (2091*t[63])/16 - 
       (9795*t[64])/16 - (881*t[65])/8 + (777*t[66])/8 + 12*t[68] - 6*t[70] + 
       6*t[71] - 12*t[72] - 84*t[73] - 3*t[74] + 144*t[75] + 42*t[76] + 
       21*t[77] - (87*t[78])/2 - 132*t[79] + 15*t[80] + 33*t[81] - 54*t[82] - 
       150*t[83] + (381*t[84])/8 + (759*t[85])/8 + 72*t[86] - 
       (2631*t[87])/8 - (3543*t[88])/16 + (1419*t[89])/16 + 6*t[95] - 
       30*t[96] - (63*t[97])/2 + 648*t[98] - 504*t[99] - 228*t[100] + 
       36*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*
      ((-57*t[1])/4 - (159*t[2])/4 + 48*t[3] + (33*t[4])/8 - (351*t[5])/8 - 
       (579*t[6])/8 - 87*t[7] - (831*t[8])/2 + (2301*t[9])/8 + 
       (465*t[10])/16 - (1161*t[11])/8 - (2865*t[12])/16 - (163*t[13])/8 + 
       (2341*t[14])/32 - (2845*t[15])/24 + 9*t[19] - 12*t[25] - 6*t[26] + 
       96*t[28] + 18*t[29] + 6*t[30] - 24*t[31] - 6*t[32] + 6*t[33] + 
       (39*t[34])/2 + 36*t[35] - 51*t[36] + 3*t[37] + 3*t[38] - (3*t[39])/2 + 
       24*t[40] - (39*t[41])/4 + (39*t[42])/4 - (9*t[43])/2 - 27*t[44] + 
       15*t[45] + 15*t[46] - 36*t[47] - (489*t[48])/8 + (975*t[49])/16 + 
       (387*t[50])/8 - (975*t[51])/32 - (351*t[52])/8 - (999*t[53])/16 - 
       15*t[54] - 6*t[58] - (117*t[59])/4 + (1533*t[60])/8 - (6303*t[61])/8 - 
       (483*t[62])/16 + (2091*t[63])/16 - (9795*t[64])/16 - (881*t[65])/8 + 
       (777*t[66])/8 + 12*t[68] - 6*t[70] + 6*t[71] - 12*t[72] - 84*t[73] - 
       3*t[74] + 144*t[75] + 42*t[76] + 21*t[77] - (87*t[78])/2 - 132*t[79] + 
       15*t[80] + 33*t[81] - 54*t[82] - 150*t[83] + (381*t[84])/8 + 
       (759*t[85])/8 + 72*t[86] - (2631*t[87])/8 - (3543*t[88])/16 + 
       (1419*t[89])/16 + 6*t[95] - 30*t[96] - (63*t[97])/2 + 648*t[98] - 
       504*t[99] - 228*t[100] + 36*t[102]) + HPL[{0, 0, 0, 0, 1}, 1 - v]*
      (41*t[2] + 23*t[3] - 8*t[4] + 14*t[5] - 15*t[6] + 130*t[7] - 190*t[8] + 
       11*t[9] - 4*t[10] + 3*t[11] - 8*t[12] - 39*t[13] - 49*t[14] - 
       (113*t[15])/6 - 2*t[18] + 4*t[22] + 36*t[29] - 6*t[32] + 30*t[33] - 
       16*t[34] + 60*t[44] - 15*t[48] + 4*t[49] + 45*t[50] - 2*t[51] - 
       45*t[52] - 4*t[53] - 19*t[54] - 9*t[59] - 54*t[60] - t[61] - 
       23*t[62] + 55*t[63] - 79*t[64] - (4*t[65])/3 + (272*t[66])/3 + 
       24*t[70] - 24*t[71] - 8*t[84] + 4*t[85] + 8*t[87] - 12*t[88] - 
       31*t[89])*\[Zeta][2] + HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (-8*t[1] + 8*t[3] - 48*t[4] - 4*t[5] - 12*t[6] - 8*t[7] - 24*t[8] - 
       8*t[9] + 87*t[10] + 6*t[11] + 39*t[12] - (278*t[13])/3 + 
       (69*t[14])/2 - (29*t[15])/3 - 24*t[25] + 46*t[26] - 54*t[37] - 
       6*t[38] + 40*t[46] - 8*t[48] - 47*t[49] + 4*t[50] - (67*t[51])/2 - 
       4*t[52] + 15*t[53] - 4*t[54] - 9*t[59] - 54*t[60] - t[61] - 23*t[62] + 
       55*t[63] - 79*t[64] - (4*t[65])/3 + (272*t[66])/3 + 24*t[70] - 
       24*t[71] - 8*t[84] + 4*t[85] + 8*t[87] - 12*t[88] - 31*t[89])*
      \[Zeta][2] + HPL[{1}, 1 - v]*Omega2[u, v, w]*(t[1] + (3*t[2])/2 + 
       (9*t[3])/2 - 10*t[4] + 24*t[5] - (9*t[6])/2 - 9*t[7] - 4*t[8] - 
       (49*t[9])/2 - (25*t[10])/2 - 3*t[11] - 6*t[12] - (37*t[13])/4 - 
       t[14] + (9*t[15])/2 - 4*t[25] + 2*t[26] + 4*t[27] + 4*t[28] + 
       2*t[35] - 2*t[36] + 2*t[38] + 4*t[39] + 2*t[40] + 5*t[46] + 4*t[48] + 
       (5*t[49])/2 + 5*t[50] + t[51]/2 - 5*t[52] - (5*t[53])/2 - 5*t[54] - 
       2*t[59] - 24*t[60] - 22*t[61] + 20*t[62] + 2*t[63] + (13*t[64])/2 + 
       (11*t[65])/6 + (95*t[66])/6 - 2*t[77] + 2*t[78] - t[81] + 3*t[82] - 
       5*t[83] - (3*t[84])/2 - 9*t[85] - 20*t[86] + 12*t[87] + 6*t[88] - 
       (5*t[89])/2)*\[Zeta][2] + HPL[{1}, 1 - w]*Omega2[w, u, v]*
      (22*t[2] + (15*t[3])/2 - 20*t[4] + 19*t[5] - (3*t[6])/2 + 3*t[7] - 
       3*t[8] - (15*t[9])/2 - 2*t[10] - (55*t[11])/2 + (5*t[12])/2 - 
       (19*t[13])/6 - (67*t[14])/12 - (11*t[15])/3 + 2*t[24] - 2*t[28] + 
       2*t[32] + 10*t[36] - t[41] + t[42] - t[46] + 2*t[47] - t[48] - 
       7*t[49] + t[50] + (11*t[51])/4 - t[52] + 7*t[53] + 8*t[54] - 2*t[59] - 
       24*t[60] - 22*t[61] + 20*t[62] + 2*t[63] + (13*t[64])/2 + 
       (11*t[65])/6 + (95*t[66])/6 - 2*t[77] + 2*t[78] - t[81] + 3*t[82] - 
       5*t[83] - (3*t[84])/2 - 9*t[85] - 20*t[86] + 12*t[87] + 6*t[88] - 
       (5*t[89])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
      ((-11*t[2])/2 - (63*t[3])/8 + (53*t[4])/4 - (9*t[5])/2 + (51*t[6])/8 - 
       (49*t[7])/4 + (11*t[8])/4 - (27*t[9])/8 + (55*t[10])/8 + 
       (45*t[11])/8 - 3*t[12] + (419*t[13])/72 + (5*t[14])/2 + 
       (65*t[15])/18 - t[24]/2 + t[28]/2 + t[29] - (5*t[32])/2 + 2*t[33] - 
       2*t[35] - (9*t[36])/2 + t[41]/4 - t[42]/4 - t[43] + t[46]/4 - 
       t[47]/2 + (13*t[48])/4 + (23*t[49])/8 - (13*t[50])/4 - (5*t[51])/4 + 
       (13*t[52])/4 - (23*t[53])/8 + (3*t[54])/4 + t[59]/2 + (37*t[60])/4 + 
       (35*t[61])/4 + (101*t[62])/8 + (3*t[63])/8 - (93*t[64])/4 - 
       (35*t[65])/24 - (155*t[66])/24 - t[73] + 2*t[74] + 3*t[75] + 
       (5*t[77])/2 + (3*t[78])/2 + 2*t[79] - 4*t[80] + (7*t[81])/4 - 
       (9*t[82])/4 - (15*t[83])/4 + (19*t[84])/8 + (5*t[85])/2 - 25*t[86] - 
       (33*t[87])/4 - (37*t[88])/8 + (25*t[89])/4)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*(-t[1]/4 - (3*t[2])/8 - 
       (25*t[3])/8 + (3*t[4])/2 - 6*t[5] + 5*t[6] - (9*t[7])/4 - (7*t[8])/2 + 
       (65*t[9])/8 + (97*t[10])/8 - (31*t[11])/8 + (13*t[12])/4 + 
       (433*t[13])/144 + (19*t[14])/12 + (35*t[15])/24 + t[25] - t[26]/2 - 
       t[27] + t[28] + 2*t[31] - (5*t[35])/2 + t[36]/2 - t[38]/2 + t[39] - 
       (5*t[40])/2 + 2*t[45] + t[46]/4 - 4*t[47] - t[48]/8 - (29*t[49])/8 - 
       (19*t[50])/8 + t[51]/4 + (19*t[52])/8 + (29*t[53])/8 + (19*t[54])/8 + 
       t[59]/2 + (37*t[60])/4 + (35*t[61])/4 + (101*t[62])/8 + (3*t[63])/8 - 
       (93*t[64])/4 - (35*t[65])/24 - (155*t[66])/24 - t[73] + 2*t[74] + 
       3*t[75] + (5*t[77])/2 + (3*t[78])/2 + 2*t[79] - 4*t[80] + 
       (7*t[81])/4 - (9*t[82])/4 - (15*t[83])/4 + (19*t[84])/8 + 
       (5*t[85])/2 - 25*t[86] - (33*t[87])/4 - (37*t[88])/8 + (25*t[89])/4)*
      \[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - v]*(-3*t[1] + 39*t[2] - 
       (261*t[3])/4 + (7*t[4])/8 + (795*t[5])/16 + (499*t[6])/8 - 
       (47*t[7])/4 + 41*t[8] + (607*t[9])/16 - (707*t[10])/16 + 
       (425*t[11])/4 + (297*t[12])/8 + (815*t[13])/8 + (2579*t[14])/32 + 
       (4333*t[15])/288 - 4*t[19] + 8*t[21] - 2*t[22] - 8*t[23] - 9*t[24] + 
       4*t[25] - 4*t[26] - 12*t[27] - 4*t[28] - (45*t[29])/2 - 6*t[31] + 
       9*t[33] + 40*t[34] - 36*t[35] - 4*t[36] - 22*t[37] - 3*t[38] - t[39] - 
       (27*t[40])/2 + 4*t[41] - 4*t[42] + (63*t[43])/8 - (51*t[44])/4 - 
       (17*t[45])/2 - 6*t[46] - 18*t[47] - (263*t[48])/8 - (513*t[49])/16 - 
       (83*t[50])/8 + (501*t[51])/32 + (211*t[52])/8 + (449*t[53])/16 - 
       6*t[57] - (27*t[59])/2 + (1693*t[60])/8 + (1327*t[61])/8 - 
       (99*t[62])/16 - (1189*t[63])/16 - (1609*t[64])/16 - (107*t[65])/8 - 
       (5743*t[66])/24 + 2*t[73] - 18*t[74] + 34*t[75] + 5*t[76] + 8*t[77] + 
       2*t[78] - 64*t[79] + 83*t[80] + 49*t[81] - 32*t[82] - 61*t[83] + 
       (449*t[84])/8 + (33*t[85])/8 - (123*t[86])/2 - (233*t[87])/8 - 
       (233*t[88])/16 - (253*t[89])/16 - 6*t[96] - 3*t[97])*\[Zeta][2] + 
     HPL[{0, 0, 1, 0, 1}, 1 - w]*((59*t[1])/2 - (45*t[2])/2 - (371*t[3])/8 + 
       64*t[4] - (1247*t[5])/16 + (859*t[6])/16 - (91*t[7])/8 + 
       (179*t[8])/8 + (873*t[9])/16 - (763*t[10])/4 + (2369*t[11])/16 - 
       (399*t[12])/16 + (1049*t[13])/16 + (893*t[14])/24 + (67*t[15])/288 - 
       2*t[24] - 3*t[25] - 28*t[26] - 13*t[27] + 20*t[28] - 3*t[29] + 
       5*t[30] + 4*t[31] - 6*t[32] + 4*t[33] + 3*t[34] + 10*t[35] + 6*t[36] - 
       30*t[37] + 27*t[38] + 6*t[39] + (7*t[40])/2 - (3*t[41])/2 + 
       (3*t[42])/2 + (13*t[43])/4 - t[44]/2 - (59*t[45])/4 + 13*t[46] + 
       (47*t[47])/2 + (503*t[48])/16 - (191*t[49])/8 - (389*t[50])/16 + 
       (227*t[51])/8 + (341*t[52])/16 + (215*t[53])/8 + (137*t[54])/16 - 
       t[58] - (27*t[59])/2 + (1693*t[60])/8 + (1327*t[61])/8 - 
       (99*t[62])/16 - (1189*t[63])/16 - (1609*t[64])/16 - (107*t[65])/8 - 
       (5743*t[66])/24 + 2*t[73] - 18*t[74] + 34*t[75] + 5*t[76] + 8*t[77] + 
       2*t[78] - 64*t[79] + 83*t[80] + 49*t[81] - 32*t[82] - 61*t[83] + 
       (449*t[84])/8 + (33*t[85])/8 - (123*t[86])/2 - (233*t[87])/8 - 
       (233*t[88])/16 - (253*t[89])/16 - 6*t[96] - 3*t[97])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((3*t[2])/8 - (17*t[3])/12 + (3*t[4])/2 + (19*t[5])/24 + (13*t[6])/6 - 
       (25*t[7])/24 + (5*t[8])/24 - (19*t[9])/12 - (3*t[10])/8 + 
       (9*t[11])/4 - (5*t[12])/12 + (53*t[13])/24 + (71*t[14])/72 + 
       (20*t[15])/9 + (2*t[31])/3 + (3*t[36])/2 + t[43]/3 - (5*t[49])/12 - 
       t[50]/3 + t[51]/4 + t[52]/3 + (5*t[53])/12 + t[54]/3 + (5*t[60])/6 + 
       (43*t[61])/6 + (23*t[62])/3 - (5*t[63])/6 - 7*t[64] - (11*t[65])/2 - 
       (22*t[66])/9 - t[72] + t[73] + (2*t[75])/3 - (17*t[79])/6 - 
       (4*t[82])/3 + t[83] - (2*t[84])/3 + (2*t[85])/3 - (25*t[86])/2 + 
       (4*t[87])/3 + (2*t[88])/3 + (23*t[89])/12 - (4*t[99])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*(8*t[1] - 49*t[2] - 107*t[3] + 
       174*t[4] - 190*t[5] + (293*t[6])/8 + 283*t[7] - 193*t[8] + 
       (1523*t[9])/4 - 141*t[10] + (2335*t[11])/8 + 9*t[12] + 
       (10093*t[13])/36 + (1737*t[14])/8 - (361*t[15])/24 - 4*t[24] + 
       48*t[25] - 36*t[26] - 6*t[28] - 65*t[29] - 4*t[30] + 42*t[31] - 
       4*t[32] - 8*t[33] + 12*t[34] + 16*t[35] - 36*t[37] - 12*t[38] - 
       6*t[40] + 5*t[43] + 36*t[44] + 6*t[45] - 21*t[46] - 20*t[47] - 
       (413*t[48])/8 + (83*t[49])/2 + (27*t[50])/8 - 23*t[51] - 
       (27*t[52])/8 - (83*t[53])/2 - (487*t[54])/8 + (45*t[59])/2 + 
       (4989*t[60])/8 + (6713*t[61])/8 - (409*t[62])/2 - (1323*t[63])/4 - 
       (10137*t[64])/16 - (995*t[65])/12 - (18077*t[66])/24 - 28*t[69] + 
       216*t[73] + 56*t[75] + 204*t[76] + (75*t[77])/2 - 110*t[78] - 
       46*t[79] + (153*t[80])/2 + 74*t[81] - (157*t[82])/2 - 82*t[83] + 
       (1151*t[84])/8 + (1727*t[85])/8 + (631*t[86])/4 - (3803*t[87])/8 - 
       (3803*t[88])/16 - (1761*t[89])/16 + 12*t[97] + 72*t[98] - 36*t[99] - 
       428*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-9*t[1])/2 + (97*t[2])/4 - (1383*t[3])/8 + 117*t[4] - (1001*t[5])/8 + 
       (1709*t[6])/16 + (2663*t[7])/8 - (183*t[8])/8 + (3183*t[9])/8 - 
       (549*t[10])/8 + (5265*t[11])/16 + (1629*t[12])/8 + (13757*t[13])/144 + 
       (20507*t[14])/48 - 40*t[15] - 24*t[19] + 34*t[21] - 12*t[22] - 
       34*t[23] - 39*t[24] + 6*t[25] - 6*t[26] - 28*t[27] + 12*t[28] + 
       (3*t[29])/2 - 33*t[30] + 66*t[31] + 3*t[32] + 6*t[33] + 42*t[34] + 
       8*t[35] - 45*t[36] - 2*t[37] - 12*t[38] + 27*t[39] - 51*t[40] + 
       27*t[41] - 27*t[42] + (327*t[43])/8 + (165*t[44])/4 - 17*t[45] - 
       (31*t[46])/2 - 11*t[47] - (1419*t[48])/16 - (39*t[49])/4 + 
       (289*t[50])/16 - 30*t[51] + (383*t[52])/16 + (35*t[53])/4 + 
       (143*t[54])/16 - 18*t[57] + (45*t[59])/2 + (4989*t[60])/8 + 
       (6713*t[61])/8 - (409*t[62])/2 - (1323*t[63])/4 - (10137*t[64])/16 - 
       (995*t[65])/12 - (18077*t[66])/24 - 28*t[69] + 216*t[73] + 56*t[75] + 
       204*t[76] + (75*t[77])/2 - 110*t[78] - 46*t[79] + (153*t[80])/2 + 
       74*t[81] - (157*t[82])/2 - 82*t[83] + (1151*t[84])/8 + 
       (1727*t[85])/8 + (631*t[86])/4 - (3803*t[87])/8 - (3803*t[88])/16 - 
       (1761*t[89])/16 + 12*t[97] + 72*t[98] - 36*t[99] - 428*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-27*t[1] - (87*t[2])/2 - (151*t[3])/2 + (177*t[4])/4 - (1009*t[5])/4 + 
       (1089*t[6])/8 + (237*t[7])/2 - 67*t[8] + 288*t[9] - (903*t[10])/8 - 
       (93*t[11])/8 + (747*t[12])/8 - (289*t[13])/9 + (8059*t[14])/48 - 
       (1249*t[15])/72 + 4*t[20] - 14*t[22] - 36*t[24] + 12*t[26] - 
       46*t[27] - 38*t[28] - 20*t[29] - 20*t[30] + 14*t[31] - 2*t[32] - 
       18*t[33] + 50*t[34] - 8*t[35] - 36*t[36] + 2*t[37] - 28*t[38] + 
       t[39] - 39*t[40] + 4*t[41] - 4*t[42] - (23*t[43])/2 - 22*t[44] - 
       58*t[45] - 20*t[46] + 52*t[47] - (309*t[48])/8 + (271*t[49])/8 + 
       (431*t[50])/8 - (5*t[51])/16 - (95*t[52])/8 - (247*t[53])/8 + 
       (167*t[54])/8 - 12*t[57] + (31*t[59])/2 + (199*t[60])/2 + 
       (501*t[61])/2 + (527*t[62])/4 + (2049*t[63])/4 - (313*t[64])/2 - 
       183*t[65] - 34*t[66] + 8*t[69] - 8*t[70] + 8*t[71] - 4*t[72] - 
       56*t[73] - 4*t[74] + 106*t[75] + 7*t[76] - 2*t[77] + 53*t[78] - 
       10*t[79] + 24*t[80] + 52*t[81] - 21*t[82] + 70*t[83] + (33*t[84])/2 + 
       38*t[85] - 56*t[86] - 209*t[87] - (287*t[88])/2 - (879*t[89])/4 + 
       8*t[95] - 10*t[96] - 14*t[97] + 24*t[98] + 84*t[99] - 360*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (-16*t[1] - (113*t[2])/2 + (147*t[3])/4 - (127*t[4])/4 + (135*t[5])/4 - 
       (467*t[6])/8 - (211*t[7])/2 - 325*t[8] - (53*t[9])/2 + 
       (2039*t[10])/8 - (349*t[11])/8 - (123*t[12])/8 + (32*t[13])/3 + 
       (2107*t[14])/48 + (375*t[15])/4 - 12*t[24] - 6*t[25] + 10*t[26] - 
       6*t[27] + 10*t[28] - 3*t[29] + 8*t[30] - 2*t[31] - 61*t[32] + 
       26*t[33] + 7*t[34] - 4*t[35] - 36*t[36] - 8*t[37] - 11*t[38] - 
       4*t[39] + 19*t[40] - 8*t[41] + 8*t[42] + 16*t[43] - (25*t[44])/2 + 
       19*t[45] - 30*t[46] - 74*t[47] - (621*t[48])/8 + (121*t[49])/8 - 
       (25*t[50])/8 + (223*t[51])/16 - (191*t[52])/8 - (297*t[53])/8 - 
       (197*t[54])/8 - 6*t[58] + (31*t[59])/2 + (199*t[60])/2 + 
       (501*t[61])/2 + (527*t[62])/4 + (2049*t[63])/4 - (313*t[64])/2 - 
       183*t[65] - 34*t[66] + 8*t[69] - 8*t[70] + 8*t[71] - 4*t[72] - 
       56*t[73] - 4*t[74] + 106*t[75] + 7*t[76] - 2*t[77] + 53*t[78] - 
       10*t[79] + 24*t[80] + 52*t[81] - 21*t[82] + 70*t[83] + (33*t[84])/2 + 
       38*t[85] - 56*t[86] - 209*t[87] - (287*t[88])/2 - (879*t[89])/4 + 
       8*t[95] - 10*t[96] - 14*t[97] + 24*t[98] + 84*t[99] - 360*t[100])*
      \[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - w]*(t[1]/2 + (617*t[2])/2 + 
       (29*t[3])/2 - 156*t[4] + (449*t[5])/4 + (273*t[6])/8 - (23*t[7])/2 + 
       348*t[8] - (165*t[9])/2 - (935*t[10])/4 - (65*t[11])/8 + 24*t[12] - 
       (985*t[13])/12 + (7435*t[14])/24 + (1439*t[15])/9 + (82*t[19])/3 + 
       28*t[21] - 8*t[22] - 28*t[23] + 90*t[24] - 14*t[25] + 14*t[26] + 
       26*t[27] + 44*t[28] - 32*t[29] + 16*t[30] - 44*t[31] - 10*t[32] + 
       12*t[33] + 25*t[34] + 66*t[35] + 46*t[36] - 76*t[37] - 5*t[38] + 
       53*t[39] - 3*t[40] + (25*t[41])/2 - (25*t[42])/2 - 19*t[43] + 
       15*t[44] - 52*t[45] + 26*t[46] - 24*t[47] + (1039*t[48])/8 - 
       (273*t[49])/4 - (693*t[50])/8 + (17*t[51])/2 + (797*t[52])/8 + 
       (321*t[53])/4 + (2305*t[54])/8 - (33*t[59])/2 - (951*t[60])/4 + 
       (2617*t[61])/4 - (2331*t[62])/8 + (195*t[63])/8 - (343*t[64])/8 + 
       (25*t[65])/4 + (1711*t[66])/12 - 72*t[73] + 146*t[74] + 116*t[75] + 
       46*t[76] + 12*t[77] + 4*t[78] - 60*t[79] + 280*t[80] - 60*t[81] + 
       92*t[82] - 108*t[83] + (103*t[84])/4 - (993*t[85])/4 - 292*t[86] + 
       (517*t[87])/4 + (517*t[88])/8 - (1537*t[89])/8 + 8*t[95] + 18*t[96] + 
       17*t[97] + 96*t[98] + 168*t[99] - 360*t[100])*\[Zeta][2] + 
     HPL[{0, 1, 0, 1, 1}, 1 - v]*(39*t[1] + (123*t[2])/2 - (49*t[3])/4 - 
       (713*t[4])/4 + 321*t[5] - (103*t[6])/2 + (165*t[7])/2 + (35*t[8])/2 - 
       (375*t[9])/2 - (1143*t[10])/8 + (821*t[11])/2 - (1187*t[12])/8 - 
       (134*t[13])/3 + (8275*t[14])/48 + (1825*t[15])/9 + 6*t[24] - 
       54*t[25] + 12*t[26] - 22*t[27] - 16*t[28] - 17*t[29] - 18*t[30] - 
       52*t[31] + 8*t[32] - 22*t[33] - 6*t[34] - 82*t[35] - 22*t[36] - 
       88*t[37] + 33*t[38] + 20*t[39] - 13*t[40] - t[41] + t[42] + 39*t[43] + 
       (41*t[44])/2 + 38*t[45] + 48*t[46] - 66*t[47] + 55*t[48] - 
       (881*t[49])/8 + 78*t[50] + (821*t[51])/16 - 106*t[52] + 
       (1009*t[53])/8 - (275*t[54])/4 - 4*t[58] - (33*t[59])/2 - 
       (951*t[60])/4 + (2617*t[61])/4 - (2331*t[62])/8 + (195*t[63])/8 - 
       (343*t[64])/8 + (25*t[65])/4 + (1711*t[66])/12 - 72*t[73] + 
       146*t[74] + 116*t[75] + 46*t[76] + 12*t[77] + 4*t[78] - 60*t[79] + 
       280*t[80] - 60*t[81] + 92*t[82] - 108*t[83] + (103*t[84])/4 - 
       (993*t[85])/4 - 292*t[86] + (517*t[87])/4 + (517*t[88])/8 - 
       (1537*t[89])/8 + 8*t[95] + 18*t[96] + 17*t[97] + 96*t[98] + 
       168*t[99] - 360*t[100])*\[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (152*t[1] + (361*t[2])/2 - (527*t[3])/4 - (2193*t[4])/4 + 1052*t[5] - 
       (447*t[6])/4 + 130*t[7] + 93*t[8] - 577*t[9] - (3551*t[10])/8 + 
       (5243*t[11])/4 - (3983*t[12])/8 - (637*t[13])/18 + (21967*t[14])/48 + 
       579*t[15] + 8*t[24] - 146*t[25] + 20*t[26] - 66*t[27] - 48*t[28] - 
       75*t[29] - 120*t[30] - 124*t[31] + 105*t[32] - 78*t[33] - 90*t[34] - 
       220*t[35] - 102*t[36] - 288*t[37] + 117*t[38] + 60*t[39] - 48*t[40] + 
       3*t[41] - 3*t[42] + 131*t[43] + (167*t[44])/2 + 168*t[45] + 
       133*t[46] - 236*t[47] + (697*t[48])/4 - (2389*t[49])/8 + 
       (921*t[50])/4 + (2581*t[51])/16 - (1113*t[52])/4 + (2773*t[53])/8 - 
       296*t[54] - 12*t[58] - (93*t[59])/2 - (2319*t[60])/4 + 
       (7669*t[61])/4 - (8753*t[62])/8 - (4423*t[63])/8 - (375*t[64])/8 + 
       (1223*t[65])/12 + (883*t[66])/12 + 24*t[70] - 24*t[71] - 120*t[73] + 
       444*t[74] + 226*t[75] + 147*t[76] + 84*t[77] - 113*t[78] - 248*t[79] + 
       896*t[80] - 215*t[81] + 197*t[82] - 360*t[83] + (137*t[84])/4 - 
       (2633*t[85])/4 - 748*t[86] + (1897*t[87])/4 + (2521*t[88])/8 - 
       (3309*t[89])/8 + 30*t[96] + 69*t[97] + 648*t[99] - 360*t[100])*
      \[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - w]*((-3*t[1])/2 + (1877*t[2])/2 - 
       2*t[3] - (575*t[4])/2 + (1111*t[5])/4 + (1551*t[6])/8 - 7*t[7] + 
       (2263*t[8])/2 - 222*t[9] - (1375*t[10])/2 + (593*t[11])/8 + 
       (407*t[12])/4 - (1703*t[13])/9 + (1847*t[14])/2 + (1783*t[15])/4 + 
       74*t[19] + 106*t[21] - 18*t[22] - 106*t[23] + 264*t[24] - 18*t[25] + 
       30*t[26] + 74*t[27] + 186*t[28] - 80*t[29] + 24*t[30] - 72*t[31] - 
       30*t[32] + 30*t[33] + 69*t[34] + 198*t[35] + 132*t[36] - 242*t[37] - 
       21*t[38] + 171*t[39] - 45*t[40] + (103*t[41])/2 - (103*t[42])/2 - 
       45*t[43] + 21*t[44] - 176*t[45] + 76*t[46] - 16*t[47] + 
       (2873*t[48])/8 - 269*t[49] - (2571*t[50])/8 + (313*t[51])/8 + 
       (2787*t[52])/8 + 248*t[53] + (6035*t[54])/8 + 12*t[58] - 
       (93*t[59])/2 - (2319*t[60])/4 + (7669*t[61])/4 - (8753*t[62])/8 - 
       (4423*t[63])/8 - (375*t[64])/8 + (1223*t[65])/12 + (883*t[66])/12 + 
       24*t[70] - 24*t[71] - 120*t[73] + 444*t[74] + 226*t[75] + 147*t[76] + 
       84*t[77] - 113*t[78] - 248*t[79] + 896*t[80] - 215*t[81] + 197*t[82] - 
       360*t[83] + (137*t[84])/4 - (2633*t[85])/4 - 748*t[86] + 
       (1897*t[87])/4 + (2521*t[88])/8 - (3309*t[89])/8 + 30*t[96] + 
       69*t[97] + 648*t[99] - 360*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*(2*t[1] + 3*t[2] - 
       (143*t[3])/2 + (389*t[4])/4 - (909*t[5])/8 + 80*t[6] + (103*t[7])/2 + 
       184*t[8] + (1211*t[9])/8 - (449*t[10])/8 + (809*t[11])/4 + 
       (53*t[12])/2 + (2131*t[13])/36 + (2465*t[14])/16 + (4069*t[15])/144 + 
       4*t[19] - 4*t[21] + 4*t[23] + 2*t[24] - 8*t[27] - 12*t[28] + 7*t[29] - 
       16*t[30] - 4*t[31] - 8*t[32] - 6*t[33] + 8*t[34] + 8*t[35] - 
       40*t[36] - 4*t[37] - 2*t[38] + 10*t[39] - 13*t[40] + 4*t[41] - 
       4*t[42] - (17*t[43])/4 - (47*t[44])/2 + 5*t[45] - 4*t[46] + 4*t[47] + 
       32*t[48] + (277*t[49])/8 - 16*t[50] - (281*t[51])/16 + 24*t[52] - 
       (213*t[53])/8 - (57*t[54])/4 - 4*t[57] + t[59] + (425*t[60])/4 + 
       (1579*t[61])/4 - (1191*t[62])/8 - (561*t[63])/8 + (1675*t[64])/8 - 
       (1621*t[65])/12 - (1313*t[66])/4 + 28*t[73] + 36*t[74] - 12*t[75] + 
       38*t[76] + 4*t[77] - 24*t[78] + 4*t[79] + 30*t[80] + 14*t[81] - 
       40*t[82] + 6*t[83] + (85*t[84])/4 - (3*t[85])/4 + 101*t[86] - 
       (501*t[87])/4 - (501*t[88])/8 - (753*t[89])/8 + 12*t[96] + 10*t[97] + 
       40*t[98] + 60*t[99] - 266*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*(15*t[1] - 6*t[2] - 
       (59*t[3])/4 - (85*t[4])/2 - (95*t[5])/8 + (173*t[6])/8 + 
       (229*t[7])/4 - (105*t[8])/4 + (613*t[9])/8 + (191*t[10])/4 + 
       (815*t[11])/8 + (27*t[12])/8 + (2125*t[13])/72 + (1511*t[14])/24 + 
       (2579*t[15])/144 + 4*t[24] - 2*t[25] - 8*t[26] - 14*t[27] + 12*t[28] + 
       6*t[29] - 10*t[30] - 12*t[31] + 4*t[33] - 2*t[34] - 36*t[36] + 
       4*t[37] + 14*t[38] - 3*t[40] + t[41] - t[42] + (19*t[43])/2 + t[44] + 
       (13*t[45])/2 - 6*t[46] - 13*t[47] - (91*t[48])/8 + 13*t[49] - 
       (143*t[50])/8 - (33*t[51])/8 + (31*t[52])/8 - 3*t[53] - (73*t[54])/8 - 
       2*t[58] + t[59] + (425*t[60])/4 + (1579*t[61])/4 - (1191*t[62])/8 - 
       (561*t[63])/8 + (1675*t[64])/8 - (1621*t[65])/12 - (1313*t[66])/4 + 
       28*t[73] + 36*t[74] - 12*t[75] + 38*t[76] + 4*t[77] - 24*t[78] + 
       4*t[79] + 30*t[80] + 14*t[81] - 40*t[82] + 6*t[83] + (85*t[84])/4 - 
       (3*t[85])/4 + 101*t[86] - (501*t[87])/4 - (501*t[88])/8 - 
       (753*t[89])/8 + 12*t[96] + 10*t[97] + 40*t[98] + 60*t[99] - 
       266*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (4*t[1] + (137*t[2])/8 - (159*t[3])/4 + (469*t[4])/32 - (81*t[5])/4 - 
       (593*t[6])/16 + (441*t[7])/8 - (283*t[8])/8 + (67*t[9])/8 + 
       (1575*t[10])/64 + (331*t[11])/16 - (941*t[12])/64 - (2623*t[13])/288 + 
       (14009*t[14])/384 + (7781*t[15])/576 + 8*t[20] - 4*t[21] - 6*t[22] + 
       4*t[23] - 5*t[24] + 2*t[25] - 2*t[26] - 10*t[27] - 6*t[28] - 
       (31*t[29])/2 + (19*t[30])/2 - t[31]/2 - 5*t[32] - t[33] - 
       (29*t[34])/2 - 5*t[35] + 16*t[36] - 24*t[37] + (27*t[38])/4 - 
       (37*t[39])/4 + (41*t[40])/2 - (11*t[41])/4 + (11*t[42])/4 + 
       (31*t[43])/8 + (35*t[44])/4 + (59*t[45])/2 - t[46]/4 - 25*t[47] + 
       (139*t[48])/16 - (427*t[49])/64 + (99*t[50])/16 + (1199*t[51])/128 - 
       (491*t[52])/16 + (619*t[53])/64 + (841*t[54])/32 + 2*t[57] - 
       (33*t[59])/4 + (1481*t[60])/32 + (3913*t[61])/32 - (12763*t[62])/64 - 
       (10037*t[63])/64 - (283*t[64])/64 - (607*t[65])/96 - 
       (13925*t[66])/96 - (19*t[72])/2 - t[73]/2 - 6*t[74] - (13*t[75])/2 - 
       (19*t[76])/2 + (7*t[78])/2 + (65*t[79])/2 + 50*t[80] + (43*t[81])/4 - 
       40*t[82] - (11*t[83])/2 + (1173*t[84])/32 - (1451*t[85])/32 + 
       82*t[86] + (973*t[87])/32 + (1293*t[88])/64 + (2387*t[89])/64 - 
       4*t[95] + (13*t[96])/2 - t[97] - 17*t[98] + 133*t[99] - 235*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      (12*t[1] - (41*t[2])/8 - (279*t[3])/8 + (703*t[4])/8 - (1123*t[5])/16 + 
       (4591*t[6])/64 + (975*t[7])/16 + (1077*t[8])/16 + (3039*t[9])/32 - 
       (831*t[10])/16 + (6729*t[11])/64 - (137*t[12])/16 + (1115*t[13])/72 + 
       (5169*t[14])/64 - (8495*t[15])/576 - 2*t[24] - 9*t[25] - 
       (15*t[27])/2 + (17*t[28])/2 + t[29]/8 - (29*t[30])/4 - 10*t[31] + 
       (15*t[32])/2 - (19*t[33])/2 - (9*t[34])/2 - 11*t[35] + (9*t[36])/2 - 
       30*t[37] + (43*t[38])/4 + (115*t[39])/8 - (45*t[40])/4 + (9*t[41])/4 - 
       (9*t[42])/4 - (17*t[43])/4 - (97*t[44])/8 - (37*t[45])/4 + 
       (25*t[46])/4 + 26*t[47] + (2501*t[48])/64 + (11*t[49])/16 + 
       (1853*t[50])/64 - (139*t[51])/32 - (861*t[52])/64 + (69*t[53])/16 - 
       (1009*t[54])/64 + 3*t[58] - (33*t[59])/4 + (1481*t[60])/32 + 
       (3913*t[61])/32 - (12763*t[62])/64 - (10037*t[63])/64 - 
       (283*t[64])/64 - (607*t[65])/96 - (13925*t[66])/96 - (19*t[72])/2 - 
       t[73]/2 - 6*t[74] - (13*t[75])/2 - (19*t[76])/2 + (7*t[78])/2 + 
       (65*t[79])/2 + 50*t[80] + (43*t[81])/4 - 40*t[82] - (11*t[83])/2 + 
       (1173*t[84])/32 - (1451*t[85])/32 + 82*t[86] + (973*t[87])/32 + 
       (1293*t[88])/64 + (2387*t[89])/64 - 4*t[95] + (13*t[96])/2 - t[97] - 
       17*t[98] + 133*t[99] - 235*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (3*t[1] - 15*t[2] + (59*t[3])/12 + 8*t[4] - (455*t[5])/24 - 
       (361*t[6])/24 + (295*t[7])/4 + (647*t[8])/4 + (295*t[9])/8 - 
       (1495*t[10])/12 + (1289*t[11])/24 + (1319*t[12])/24 + (917*t[13])/24 - 
       (881*t[14])/36 - (377*t[15])/48 + 4*t[20] + 4*t[24] + 6*t[25] - 
       2*t[26] - 2*t[27] + 12*t[28] + 2*t[29] - 10*t[30] - (20*t[31])/3 + 
       6*t[32] + 2*t[33] - 4*t[34] - 4*t[35] - 40*t[36] + 4*t[37] - 2*t[38] + 
       10*t[39] - t[40] + 4*t[41] - 4*t[42] - (4*t[43])/3 - 3*t[44] - 
       22*t[45] - 7*t[46] + 46*t[47] + (209*t[48])/8 + (79*t[49])/6 - 
       (409*t[50])/24 + 7*t[51] + (313*t[52])/24 - (31*t[53])/6 + 
       (421*t[54])/24 + 12*t[59] + (20*t[60])/3 + 166*t[61] - 
       (1121*t[62])/12 - (125*t[63])/4 + (435*t[64])/2 + (95*t[65])/2 - 
       (368*t[66])/9 - 92*t[73] - 24*t[74] - 40*t[75] - 8*t[76] + 2*t[77] - 
       52*t[78] + 38*t[79] + 40*t[80] + 4*t[81] + (10*t[82])/3 + 68*t[83] - 
       (11*t[84])/6 - (175*t[85])/6 + (670*t[86])/3 + (199*t[87])/6 + 
       (199*t[88])/12 - (5*t[89])/2 + 12*t[96] + 8*t[97] + 16*t[98] - 
       220*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-5*t[1])/3 + (85*t[2])/3 + (149*t[3])/4 - (1591*t[4])/24 + 
       (929*t[5])/8 + (133*t[6])/4 + (63*t[7])/4 + (1663*t[8])/12 - 
       (1651*t[9])/24 - (4997*t[10])/48 + (133*t[11])/4 + (1925*t[12])/48 + 
       (5815*t[13])/108 - (2199*t[14])/32 - (137*t[15])/36 + 2*t[24] + 
       4*t[25] - (64*t[27])/3 - (28*t[28])/3 - (44*t[29])/3 + (8*t[30])/3 - 
       (26*t[31])/3 + 6*t[32] - 4*t[33] - (4*t[34])/3 - 12*t[35] - 18*t[36] - 
       (10*t[38])/3 - 10*t[39] - 4*t[40] + (2*t[41])/3 - (2*t[42])/3 + 
       (41*t[43])/3 - (58*t[44])/3 + 8*t[45] - 22*t[46] - 10*t[47] + 
       (76*t[48])/3 - (185*t[49])/16 - (44*t[50])/3 + (521*t[51])/32 + 
       (40*t[52])/3 + (683*t[53])/48 - (521*t[54])/24 + (14*t[59])/3 - 
       (373*t[60])/8 + (483*t[61])/8 - (2639*t[62])/48 - (4049*t[63])/48 + 
       (14861*t[64])/48 + (6905*t[65])/72 + (1171*t[66])/72 - (2*t[72])/3 - 
       14*t[73] - 4*t[74] + 22*t[75] + (64*t[76])/3 + (4*t[77])/3 - 
       (56*t[78])/3 + 30*t[79] + (128*t[80])/3 - (5*t[81])/3 + 18*t[82] + 
       16*t[83] + (569*t[84])/24 - (263*t[85])/24 + (614*t[86])/3 + 
       (1165*t[87])/24 + (1165*t[88])/48 - (773*t[89])/48 + 4*t[96] + 
       (8*t[97])/3 - 36*t[98] + 144*t[99] - 212*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((7*t[1])/3 - (2*t[2])/3 + 
       (2*t[3])/3 - 54*t[4] - (1019*t[5])/24 - (973*t[6])/48 + (206*t[7])/3 + 
       (273*t[8])/2 + (293*t[9])/3 - (1723*t[10])/12 + (133*t[11])/48 + 
       (1693*t[12])/24 - (4531*t[13])/216 - (5629*t[14])/144 - 
       (37*t[15])/216 + 4*t[20] + 4*t[24] - 2*t[25] + 2*t[26] + 
       (22*t[27])/3 + 14*t[28] + (71*t[29])/6 - 9*t[30] - (32*t[31])/3 - 
       (2*t[32])/3 + (2*t[33])/3 - (16*t[34])/3 + 4*t[35] - 56*t[36] + 
       (2*t[38])/3 + (49*t[39])/6 - 2*t[40] + (2*t[41])/3 - (2*t[42])/3 - 
       (10*t[43])/3 + (37*t[44])/3 - 26*t[45] + 12*t[46] + (142*t[47])/3 + 
       (543*t[48])/16 - (47*t[49])/6 - (419*t[50])/48 + (19*t[51])/12 + 
       (355*t[52])/48 + (21*t[53])/2 + (789*t[54])/16 + (14*t[59])/3 - 
       (373*t[60])/8 + (483*t[61])/8 - (2639*t[62])/48 - (4049*t[63])/48 + 
       (14861*t[64])/48 + (6905*t[65])/72 + (1171*t[66])/72 - (2*t[72])/3 - 
       14*t[73] - 4*t[74] + 22*t[75] + (64*t[76])/3 + (4*t[77])/3 - 
       (56*t[78])/3 + 30*t[79] + (128*t[80])/3 - (5*t[81])/3 + 18*t[82] + 
       16*t[83] + (569*t[84])/24 - (263*t[85])/24 + (614*t[86])/3 + 
       (1165*t[87])/24 + (1165*t[88])/48 - (773*t[89])/48 + 4*t[96] + 
       (8*t[97])/3 - 36*t[98] + 144*t[99] - 212*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-13*t[1])/6 + (803*t[2])/24 + (1903*t[3])/24 + (401*t[4])/8 + 
       (3503*t[5])/48 - (13555*t[6])/192 - (6967*t[7])/48 - (3563*t[8])/16 - 
       (25427*t[9])/96 + (1505*t[10])/48 + (22123*t[11])/192 - 
       (421*t[12])/48 + (23519*t[13])/216 - (46879*t[14])/576 + 
       (739*t[15])/1728 - 4*t[20] + 4*t[22] - 10*t[24] - (2*t[27])/3 + 
       (13*t[28])/2 - (265*t[29])/24 + (133*t[30])/4 + (4*t[31])/3 - 
       (101*t[32])/3 + (35*t[33])/3 - (16*t[34])/3 - 11*t[35] + 
       (63*t[36])/2 - 8*t[37] + (2*t[38])/3 - (77*t[39])/24 + (45*t[40])/4 - 
       (4*t[41])/3 + (4*t[42])/3 + (29*t[43])/12 - (187*t[44])/24 + 
       (5*t[45])/2 - t[46]/4 + (16*t[47])/3 - (2283*t[48])/64 - 
       (205*t[49])/48 - (89*t[50])/192 - (97*t[51])/96 - (3239*t[52])/192 + 
       (111*t[53])/16 - (6241*t[54])/64 - (4*t[59])/3 - (7783*t[60])/32 + 
       (3569*t[61])/32 + (14959*t[62])/192 + (33313*t[63])/192 + 
       (6599*t[64])/192 - (13285*t[65])/288 - (54407*t[66])/288 - 8*t[70] + 
       8*t[71] - (2*t[72])/3 + (23*t[73])/2 - 14*t[74] + (15*t[75])/2 + 
       (89*t[76])/6 - (55*t[77])/6 - (71*t[78])/3 - (81*t[79])/2 - 
       (40*t[80])/3 + (259*t[81])/12 - 31*t[82] - (3*t[83])/2 - 
       (6985*t[84])/96 - (5081*t[85])/96 - (1121*t[86])/6 + (8215*t[87])/96 + 
       (535*t[88])/192 - (13655*t[89])/192 + 16*t[95] + 12*t[96] - 
       (16*t[97])/3 + 79*t[98] - 87*t[99] - (379*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((17*t[1])/6 - (391*t[2])/24 - (363*t[3])/8 - (8569*t[4])/96 - 
       (549*t[5])/8 + (647*t[6])/16 - (43*t[7])/2 - (491*t[8])/12 + 
       (1307*t[9])/24 - (6515*t[10])/192 - (423*t[11])/16 - 
       (5983*t[12])/192 - (28207*t[13])/864 + (13577*t[14])/384 + 
       (18617*t[15])/576 + 2*t[24] - 6*t[25] + 6*t[26] + (32*t[27])/3 + 
       (41*t[28])/3 + (25*t[29])/3 - (25*t[30])/3 - (14*t[31])/3 - 5*t[32] + 
       3*t[33] - (4*t[34])/3 + 15*t[35] + 25*t[36] + (2*t[38])/3 + 
       (49*t[39])/2 + (11*t[40])/2 + (5*t[41])/3 - (5*t[42])/3 - 
       (55*t[43])/12 + (41*t[44])/3 - (7*t[45])/2 + (61*t[46])/4 + 4*t[47] + 
       (919*t[48])/48 + (1253*t[49])/64 + (1099*t[50])/48 + 
       (2463*t[51])/128 - (395*t[52])/48 + (1745*t[53])/192 + 
       (8263*t[54])/96 - (4*t[59])/3 - (7783*t[60])/32 + (3569*t[61])/32 + 
       (14959*t[62])/192 + (33313*t[63])/192 + (6599*t[64])/192 - 
       (13285*t[65])/288 - (54407*t[66])/288 - 8*t[70] + 8*t[71] - 
       (2*t[72])/3 + (23*t[73])/2 - 14*t[74] + (15*t[75])/2 + (89*t[76])/6 - 
       (55*t[77])/6 - (71*t[78])/3 - (81*t[79])/2 - (40*t[80])/3 + 
       (259*t[81])/12 - 31*t[82] - (3*t[83])/2 - (6985*t[84])/96 - 
       (5081*t[85])/96 - (1121*t[86])/6 + (8215*t[87])/96 + (535*t[88])/192 - 
       (13655*t[89])/192 + 16*t[95] + 12*t[96] - (16*t[97])/3 + 79*t[98] - 
       87*t[99] - (379*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*(-t[1] - (173*t[2])/16 - (433*t[3])/16 + 
       (1625*t[4])/16 - (203*t[5])/2 + (1477*t[6])/32 + (7*t[7])/4 + 
       (767*t[8])/8 + (1525*t[9])/16 - (349*t[10])/32 + (2999*t[11])/32 + 
       (445*t[12])/32 + (2231*t[13])/96 + (5833*t[14])/64 - (161*t[15])/32 + 
       t[19] - (5*t[20])/4 - t[21] - 2*t[22] - 2*t[23] - (25*t[24])/2 - 
       5*t[25] + 4*t[26] - t[27] + t[28]/2 - 7*t[29] - (15*t[30])/2 - 
       2*t[31] - (17*t[32])/2 - (29*t[33])/4 + 10*t[34] - (21*t[35])/2 - 
       (17*t[36])/2 - 3*t[37] - 3*t[38] + (23*t[39])/2 - 4*t[40] + 
       (7*t[41])/2 - (7*t[42])/2 - (213*t[43])/16 - (193*t[44])/8 - 
       (119*t[45])/4 + (23*t[46])/4 + 39*t[47] + (157*t[48])/32 + 
       (621*t[49])/32 + (33*t[50])/32 - (281*t[51])/64 + (127*t[52])/32 - 
       (621*t[53])/32 + (29*t[54])/32 - 5*t[57] + (3*t[59])/2 + 
       (189*t[60])/4 + (1371*t[61])/8 - (111*t[62])/4 + (607*t[63])/8 - 
       128*t[64] - (2075*t[65])/48 - (1229*t[66])/16 - 6*t[69] + 2*t[70] - 
       2*t[71] + 4*t[72] - (83*t[73])/4 + (47*t[74])/4 + (169*t[75])/4 - 
       2*t[76] - (5*t[77])/2 + (43*t[78])/2 - (25*t[79])/4 - (23*t[80])/2 + 
       (27*t[81])/8 + (9*t[82])/8 + 55*t[83] + (49*t[84])/16 - 
       (141*t[85])/8 - 41*t[86] - (197*t[87])/8 - (197*t[88])/16 - 
       (769*t[89])/16 + (5*t[97])/2 - 28*t[98] + 62*t[99] - 137*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      ((9*t[1])/2 + (133*t[2])/8 - (65*t[3])/2 - (1145*t[4])/16 + 
       (15*t[5])/2 - (1513*t[6])/32 + (255*t[7])/16 - (2099*t[8])/16 + 
       (37*t[9])/4 + (3681*t[10])/32 - (401*t[11])/32 - (503*t[12])/32 + 
       4*t[13] + (6241*t[14])/192 + (4237*t[15])/96 - 6*t[24] - (5*t[25])/2 - 
       (3*t[26])/2 + (7*t[27])/2 - 7*t[28] - 3*t[29] + 5*t[30] - 
       (3*t[32])/2 + (3*t[33])/2 + 2*t[34] - 3*t[35] + (17*t[36])/2 - 
       3*t[37] + 3*t[38] + t[39] + (7*t[40])/2 - t[41]/2 + t[42]/2 + 
       (85*t[43])/8 + 6*t[44] + (257*t[45])/8 - (35*t[46])/4 - 
       (263*t[47])/4 - (697*t[48])/32 - (359*t[49])/32 + (311*t[50])/32 + 
       (453*t[51])/64 - (631*t[52])/32 + (311*t[53])/32 - (153*t[54])/32 - 
       2*t[58] + (3*t[59])/2 + (189*t[60])/4 + (1371*t[61])/8 - 
       (111*t[62])/4 + (607*t[63])/8 - 128*t[64] - (2075*t[65])/48 - 
       (1229*t[66])/16 - 6*t[69] + 2*t[70] - 2*t[71] + 4*t[72] - 
       (83*t[73])/4 + (47*t[74])/4 + (169*t[75])/4 - 2*t[76] - (5*t[77])/2 + 
       (43*t[78])/2 - (25*t[79])/4 - (23*t[80])/2 + (27*t[81])/8 + 
       (9*t[82])/8 + 55*t[83] + (49*t[84])/16 - (141*t[85])/8 - 41*t[86] - 
       (197*t[87])/8 - (197*t[88])/16 - (769*t[89])/16 + (5*t[97])/2 - 
       28*t[98] + 62*t[99] - 137*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-13*t[1] + 3*t[2] + (11*t[3])/2 + (221*t[4])/6 + (433*t[5])/12 - 
       30*t[6] + (76*t[7])/3 + (19*t[8])/3 - (55*t[9])/12 - (209*t[10])/3 + 
       97*t[11] + (189*t[12])/4 + (2039*t[13])/36 + (1535*t[14])/72 + 
       (257*t[15])/72 + 22*t[25] - 12*t[26] + 6*t[27] - 4*t[29] + 4*t[31] + 
       4*t[35] + 12*t[36] + 2*t[37] - 10*t[38] + 6*t[40] + 13*t[44] - 
       2*t[45] - 2*t[46] + 4*t[47] + 14*t[48] + (47*t[49])/6 + t[50] - 
       (69*t[51])/8 - t[52] - (29*t[53])/6 - (173*t[54])/6 + 2*t[59] + 
       (220*t[60])/3 + (229*t[61])/6 + (167*t[62])/12 - (197*t[63])/4 + 
       (305*t[64])/12 + (128*t[65])/9 - (313*t[66])/3 - 8*t[69] - 4*t[72] + 
       50*t[73] + 18*t[74] - 62*t[75] - 6*t[77] - 2*t[78] + 46*t[79] - 
       4*t[80] - 17*t[81] + 25*t[82] - (136*t[83])/3 + (118*t[84])/3 + 
       (125*t[85])/6 + (22*t[86])/3 - (67*t[87])/2 - (51*t[88])/4 + 
       (61*t[89])/3 - 4*t[95] - 20*t[99] - 125*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-7*t[2])/2 - (209*t[3])/12 - 21*t[4] + (277*t[5])/12 + (86*t[6])/3 + 
       (125*t[7])/6 + (545*t[8])/6 + (327*t[9])/4 - (52*t[10])/3 - 
       (137*t[11])/6 + (23*t[12])/12 + t[13] + (367*t[14])/18 - 
       (367*t[15])/12 + 4*t[22] + 4*t[24] - (14*t[28])/3 + (29*t[29])/3 - 
       (92*t[30])/3 + 4*t[31] - 5*t[32] + 2*t[33] + 4*t[34] - 8*t[35] + 
       20*t[36] + 6*t[37] - t[41] + t[42] + 3*t[43] - (43*t[44])/6 - 
       4*t[46] + 6*t[47] + 23*t[48] - 16*t[49] - (62*t[50])/3 + (7*t[51])/4 + 
       (62*t[52])/3 + 16*t[53] + (265*t[54])/6 + 2*t[59] + (220*t[60])/3 + 
       (229*t[61])/6 + (167*t[62])/12 - (197*t[63])/4 + (305*t[64])/12 + 
       (128*t[65])/9 - (313*t[66])/3 - 8*t[69] - 4*t[72] + 50*t[73] + 
       18*t[74] - 62*t[75] - 6*t[77] - 2*t[78] + 46*t[79] - 4*t[80] - 
       17*t[81] + 25*t[82] - (136*t[83])/3 + (118*t[84])/3 + (125*t[85])/6 + 
       (22*t[86])/3 - (67*t[87])/2 - (51*t[88])/4 + (61*t[89])/3 - 4*t[95] - 
       20*t[99] - 125*t[100])*\[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (-12*t[1] - 3*t[2] - (115*t[3])/2 + (349*t[4])/2 - (299*t[5])/4 + 
       (229*t[6])/2 + 72*t[7] + 17*t[8] + (817*t[9])/4 - (489*t[10])/4 + 
       368*t[11] + (101*t[12])/2 + (2803*t[13])/9 + (2065*t[14])/8 - 
       (155*t[15])/72 - 8*t[19] + 24*t[21] - 16*t[22] + 8*t[23] + 4*t[24] + 
       8*t[25] - 8*t[26] - 32*t[27] - 68*t[29] + 16*t[30] - 66*t[32] + 
       28*t[33] + 148*t[34] - 64*t[35] - 16*t[37] - 12*t[38] - 12*t[39] - 
       4*t[40] + 2*t[41] - 2*t[42] + (15*t[43])/2 - 44*t[44] - 82*t[45] - 
       16*t[46] + 32*t[47] - (283*t[48])/2 - (115*t[49])/4 - (63*t[50])/2 + 
       (127*t[51])/8 + (47*t[52])/2 + (51*t[53])/4 - 54*t[54] - 16*t[57] - 
       16*t[59] + (1167*t[60])/2 + (799*t[61])/2 + (465*t[62])/4 + 
       (135*t[63])/4 - (869*t[64])/4 - (449*t[65])/2 - (5117*t[66])/6 - 
       16*t[70] + 16*t[71] - 4*t[74] + 104*t[75] + 44*t[76] + 8*t[78] - 
       144*t[79] + 100*t[80] + 134*t[81] - 82*t[82] - 144*t[83] + 
       (231*t[84])/2 + (181*t[85])/2 - 222*t[86] - (241*t[87])/2 - 
       (689*t[88])/4 - (387*t[89])/4 + 8*t[95] - 8*t[96] - 12*t[97] + 
       288*t[98] - 288*t[99] - 120*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 0, 1, 1}, 1 - w]*(24*t[1] - 58*t[2] - (211*t[3])/2 - 
       51*t[4] - (813*t[5])/4 + (97*t[6])/4 - (139*t[7])/2 - (101*t[8])/2 + 
       (647*t[9])/4 - 296*t[10] + (999*t[11])/4 - (45*t[12])/4 + 
       (4981*t[13])/36 + (2357*t[14])/12 + (481*t[15])/72 - 8*t[24] + 
       20*t[25] - 56*t[26] - 20*t[27] + 24*t[28] + 4*t[29] + 16*t[30] + 
       8*t[31] - 16*t[32] + 8*t[33] + 12*t[34] + 12*t[35] - 28*t[36] - 
       32*t[37] + 28*t[38] + 30*t[40] - 6*t[41] + 6*t[42] + 15*t[43] - 
       6*t[44] + 5*t[45] + 42*t[46] - 26*t[47] + (133*t[48])/4 - 
       (3*t[49])/2 - (247*t[50])/4 + (81*t[51])/4 + (199*t[52])/4 + 
       (95*t[53])/2 + (15*t[54])/4 - 4*t[58] - 16*t[59] + (1167*t[60])/2 + 
       (799*t[61])/2 + (465*t[62])/4 + (135*t[63])/4 - (869*t[64])/4 - 
       (449*t[65])/2 - (5117*t[66])/6 - 16*t[70] + 16*t[71] - 4*t[74] + 
       104*t[75] + 44*t[76] + 8*t[78] - 144*t[79] + 100*t[80] + 134*t[81] - 
       82*t[82] - 144*t[83] + (231*t[84])/2 + (181*t[85])/2 - 222*t[86] - 
       (241*t[87])/2 - (689*t[88])/4 - (387*t[89])/4 + 8*t[95] - 8*t[96] - 
       12*t[97] + 288*t[98] - 288*t[99] - 120*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*(t[1]/2 - (59*t[2])/12 - 
       (185*t[3])/24 + (86*t[4])/3 + (893*t[5])/24 - (251*t[6])/48 - 
       (719*t[7])/8 + (1069*t[8])/24 - (1315*t[9])/24 + (2071*t[10])/24 - 
       (1003*t[11])/48 - (181*t[12])/24 + (41*t[13])/16 + (653*t[14])/48 + 
       (211*t[15])/12 - (4*t[20])/3 + 4*t[21] - 6*t[22] - 4*t[23] + 
       12*t[24] + 2*t[27] + (10*t[28])/3 + (13*t[29])/2 - (2*t[30])/3 + 
       2*t[31] - 11*t[32] + (20*t[33])/3 + 17*t[34] + 16*t[35] - 23*t[36] + 
       9*t[37] - t[38] + t[39] - 3*t[40] - t[41]/2 + t[42]/2 - (67*t[43])/8 - 
       (449*t[44])/12 - 7*t[45] + (5*t[46])/2 - t[47] + (785*t[48])/48 + 
       (107*t[49])/12 - (907*t[50])/48 - (79*t[51])/12 + (1051*t[52])/48 + 
       t[53]/12 - (23*t[54])/16 - 2*t[57] + (25*t[59])/6 + (379*t[60])/24 + 
       (669*t[61])/8 + (1909*t[62])/24 + (3569*t[63])/24 - (4943*t[64])/48 - 
       (635*t[65])/3 + (791*t[66])/24 - 4*t[70] + 4*t[71] + 4*t[72] - t[73] + 
       14*t[74] + 17*t[75] - 3*t[76] + (15*t[77])/2 + 16*t[78] - 7*t[79] - 
       (63*t[80])/2 - 19*t[81] + (61*t[82])/2 + (98*t[83])/3 - 
       (161*t[84])/8 - (1583*t[85])/24 - (1967*t[86])/12 - (1145*t[87])/24 - 
       (821*t[88])/48 - (2923*t[89])/48 - 6*t[95] + 12*t[96] + 2*t[97] + 
       64*t[98] - 60*t[99] - 119*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*((-23*t[1])/2 - (27*t[2])/2 - 
       (263*t[3])/12 + (421*t[4])/12 + (143*t[5])/3 - (59*t[6])/4 - t[7] - 
       (185*t[8])/3 - 52*t[9] + (565*t[10])/24 - (95*t[11])/6 - 
       (349*t[12])/8 - (1915*t[13])/72 + (3793*t[14])/48 + (179*t[15])/4 + 
       4*t[24] + (43*t[25])/3 - (10*t[26])/3 - 5*t[27] + 6*t[28] + 2*t[29] + 
       8*t[30] + 26*t[31] - 4*t[32] + 8*t[33] + 2*t[34] - 18*t[35] - 
       7*t[36] - 4*t[37] - 10*t[38] + 14*t[39] - 3*t[40] - t[41] + t[42] + 
       (11*t[43])/2 - 2*t[44] + (35*t[45])/2 - (56*t[46])/3 - 39*t[47] - 
       5*t[48] + (1115*t[49])/24 + (35*t[50])/3 + (293*t[51])/48 - 
       (65*t[52])/3 - (995*t[53])/24 - (65*t[54])/4 - t[58] + (25*t[59])/6 + 
       (379*t[60])/24 + (669*t[61])/8 + (1909*t[62])/24 + (3569*t[63])/24 - 
       (4943*t[64])/48 - (635*t[65])/3 + (791*t[66])/24 - 4*t[70] + 4*t[71] + 
       4*t[72] - t[73] + 14*t[74] + 17*t[75] - 3*t[76] + (15*t[77])/2 + 
       16*t[78] - 7*t[79] - (63*t[80])/2 - 19*t[81] + (61*t[82])/2 + 
       (98*t[83])/3 - (161*t[84])/8 - (1583*t[85])/24 - (1967*t[86])/12 - 
       (1145*t[87])/24 - (821*t[88])/48 - (2923*t[89])/48 - 6*t[95] + 
       12*t[96] + 2*t[97] + 64*t[98] - 60*t[99] - 119*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*((113*t[1])/12 - (112*t[2])/3 - 
       (135*t[3])/16 + (1075*t[4])/24 - (299*t[5])/32 - (137*t[6])/32 - 
       (1223*t[7])/16 - (1795*t[8])/48 - (1193*t[9])/96 + (455*t[10])/48 + 
       (125*t[11])/32 - (3079*t[12])/96 + (13363*t[13])/864 + 
       (3275*t[14])/96 + (371*t[15])/576 - t[24] - (3*t[25])/2 - 14*t[26] - 
       (43*t[27])/6 + (40*t[28])/3 + (7*t[29])/6 - (49*t[30])/6 + 
       (68*t[31])/3 - 3*t[32] + 2*t[33] + (5*t[34])/6 + 18*t[35] - t[36] - 
       20*t[37] + (71*t[38])/6 + 8*t[39] + (31*t[40])/4 - (5*t[41])/12 + 
       (5*t[42])/12 + (119*t[43])/24 - (11*t[44])/12 - (19*t[45])/8 + 
       (11*t[46])/2 + (7*t[47])/4 + (1633*t[48])/96 + (203*t[49])/8 - 
       (6563*t[50])/96 - (355*t[51])/32 + (4051*t[52])/96 - (349*t[53])/24 + 
       (1619*t[54])/96 - (9*t[58])/2 - (41*t[59])/12 + (907*t[60])/16 + 
       (2677*t[61])/16 + (1393*t[62])/96 + (8215*t[63])/96 - 
       (10273*t[64])/96 + (3503*t[65])/144 - (7199*t[66])/144 - 2*t[69] - 
       (34*t[72])/3 + 19*t[73] - 9*t[74] + 19*t[75] + (355*t[76])/6 + 
       (53*t[77])/3 - (175*t[78])/3 - 23*t[79] + (257*t[80])/6 + 
       (133*t[81])/6 - 15*t[82] - (115*t[83])/2 - (571*t[84])/48 + 
       (661*t[85])/48 - (1541*t[86])/12 - (2921*t[87])/48 - (2921*t[88])/96 + 
       (1663*t[89])/96 + 11*t[96] + (71*t[97])/6 + 318*t[98] - 298*t[99] - 
       116*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*((31*t[1])/6 - (265*t[2])/12 - 
       (443*t[3])/24 - (379*t[4])/4 - (123*t[5])/4 - (995*t[6])/48 + 
       (199*t[7])/4 - (355*t[8])/12 + (599*t[9])/24 + (395*t[10])/24 - 
       (1175*t[11])/48 + (601*t[12])/24 - (21061*t[13])/432 + 
       (1907*t[14])/36 - (43*t[15])/24 - 2*t[20] + 2*t[22] - 2*t[24] - 
       2*t[25] - (26*t[27])/3 - 12*t[28] - t[29] - t[30] - (40*t[31])/3 + 
       t[32] - 3*t[33] - (2*t[34])/3 + 2*t[35] + (23*t[36])/2 - 10*t[37] + 
       (7*t[38])/3 - 10*t[39] + (9*t[40])/2 + t[41]/3 - t[42]/3 - 
       (5*t[43])/12 - t[44]/2 - (13*t[45])/2 - (13*t[46])/2 + 12*t[47] - 
       (655*t[48])/48 - (427*t[49])/24 + (301*t[50])/48 + (35*t[51])/16 - 
       (111*t[52])/16 + (153*t[53])/8 + (1231*t[54])/48 - (11*t[59])/3 - 
       (227*t[60])/8 + (431*t[61])/8 - (8239*t[62])/48 + (1319*t[63])/48 + 
       (8473*t[64])/48 - (4007*t[65])/72 + (6959*t[66])/72 + (8*t[72])/3 - 
       (97*t[73])/2 + 2*t[74] - (53*t[75])/2 + (26*t[76])/3 - (13*t[77])/3 - 
       (178*t[78])/3 - (7*t[79])/2 + (112*t[80])/3 - (64*t[81])/3 + 
       20*t[82] + 54*t[83] - (167*t[84])/24 + (5*t[85])/24 + (575*t[86])/6 + 
       (365*t[87])/24 + (749*t[88])/48 - (1297*t[89])/48 + 8*t[96] + 
       (16*t[97])/3 + 68*t[98] - 44*t[99] - 104*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*(-12*t[1] - (43*t[3])/2 + 
       14*t[4] - (259*t[5])/4 + (45*t[6])/4 + (29*t[7])/2 + (91*t[8])/2 + 
       (333*t[9])/4 - (81*t[10])/2 + (523*t[11])/4 + (179*t[12])/4 + 
       (2641*t[13])/36 + 29*t[14] + (233*t[15])/24 + 24*t[25] - 4*t[26] - 
       6*t[28] + 6*t[31] - 6*t[35] - 30*t[36] - 38*t[37] - 12*t[38] - 
       6*t[39] - 6*t[40] + 6*t[45] + 28*t[46] - 12*t[47] + (45*t[48])/4 - 
       23*t[49] - (127*t[50])/4 - 16*t[51] + (127*t[52])/4 + 23*t[53] + 
       (79*t[54])/4 - 13*t[59] + (211*t[60])/2 + (171*t[61])/2 + 
       (3*t[62])/2 - (551*t[63])/2 + (355*t[64])/4 + (202*t[65])/3 - 
       213*t[66] - 10*t[69] + 32*t[70] - 32*t[71] + 96*t[73] + 58*t[74] - 
       116*t[75] + 6*t[77] + 2*t[78] + 34*t[79] - 10*t[80] - 87*t[83] + 
       (73*t[84])/2 + (65*t[85])/2 - 34*t[86] - (131*t[87])/2 - 
       (131*t[88])/4 + (277*t[89])/4 - 78*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*(26*t[2] - 23*t[3] + 74*t[4] + 
       (99*t[5])/4 + 64*t[6] - (223*t[7])/2 + (117*t[8])/2 + (161*t[9])/4 + 
       24*t[10] + (107*t[11])/2 - (137*t[12])/4 + (2083*t[13])/36 + 
       12*t[14] - (119*t[15])/8 + 2*t[18] + 6*t[22] + 54*t[28] + 16*t[29] - 
       24*t[30] - 36*t[32] + 30*t[33] + 6*t[34] - 38*t[35] - 6*t[36] + 
       2*t[37] + t[41] - t[42] - 3*t[43] - 30*t[44] - 2*t[47] + 
       (145*t[48])/2 + (25*t[49])/2 - (121*t[50])/2 - (25*t[51])/4 + 
       (121*t[52])/2 - (25*t[53])/2 + (83*t[54])/2 - 13*t[59] + 
       (211*t[60])/2 + (171*t[61])/2 + (3*t[62])/2 - (551*t[63])/2 + 
       (355*t[64])/4 + (202*t[65])/3 - 213*t[66] - 10*t[69] + 32*t[70] - 
       32*t[71] + 96*t[73] + 58*t[74] - 116*t[75] + 6*t[77] + 2*t[78] + 
       34*t[79] - 10*t[80] - 87*t[83] + (73*t[84])/2 + (65*t[85])/2 - 
       34*t[86] - (131*t[87])/2 - (131*t[88])/4 + (277*t[89])/4 - 78*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((11*t[1])/6 + (659*t[2])/24 - (191*t[3])/8 + (581*t[4])/96 + 
       (221*t[5])/32 + (453*t[6])/16 - (35*t[7])/4 + (1481*t[8])/24 + 
       (275*t[9])/96 + (751*t[10])/192 - 5*t[11] - (5131*t[12])/192 - 
       (17599*t[13])/864 + (31831*t[14])/384 + (3577*t[15])/144 + 2*t[21] - 
       2*t[23] + (25*t[24])/2 - (11*t[27])/6 + (41*t[28])/3 + (7*t[29])/12 - 
       (59*t[30])/6 + (7*t[31])/3 - 7*t[32] + (5*t[33])/2 + (2*t[34])/3 - 
       5*t[35] + 11*t[36] - 7*t[37] + t[38]/6 + (17*t[39])/2 - (3*t[40])/4 + 
       (13*t[41])/6 - (13*t[42])/6 - (43*t[43])/48 - (257*t[44])/24 - 
       (25*t[45])/4 + (9*t[46])/4 - 2*t[47] + (1495*t[48])/48 + 
       (799*t[49])/64 - (1901*t[50])/48 - (1043*t[51])/128 + 
       (1933*t[52])/48 - (1501*t[53])/192 + (3745*t[54])/96 + t[57] - 
       (19*t[59])/12 + (1187*t[60])/32 + (4671*t[61])/32 - 
       (16067*t[62])/192 - (2525*t[63])/192 - (5215*t[64])/192 - 
       (10579*t[65])/288 - (8249*t[66])/288 + t[69] - (37*t[72])/6 - 
       (3*t[73])/2 + 27*t[74] + (23*t[75])/2 + (52*t[76])/3 + (53*t[77])/6 - 
       (68*t[78])/3 - (55*t[79])/2 + (163*t[80])/6 - (41*t[81])/12 - 
       11*t[82] - 38*t[83] - (67*t[84])/96 - (2507*t[85])/96 - 
       (619*t[86])/12 - (2567*t[87])/96 - (2567*t[88])/192 + 
       (2779*t[89])/192 + 7*t[96] + (31*t[97])/6 + 85*t[98] - 53*t[99] - 
       74*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      ((85*t[1])/12 - (49*t[2])/24 - (1021*t[3])/48 + (61*t[4])/2 - 
       (365*t[5])/96 + (1475*t[6])/192 + (805*t[7])/24 + (227*t[8])/8 + 
       (785*t[9])/48 - (125*t[10])/6 + (17965*t[11])/192 - (1811*t[12])/96 + 
       (10061*t[13])/864 + (34223*t[14])/576 + (22283*t[15])/864 - t[24] - 
       (7*t[25])/2 - 3*t[26] - (13*t[27])/6 - (7*t[28])/2 + (35*t[29])/24 + 
       (11*t[30])/4 + (11*t[31])/6 + (13*t[32])/3 - (16*t[33])/3 - 
       (11*t[34])/6 - 5*t[35] - (33*t[36])/2 - 12*t[37] + (37*t[38])/6 + 
       (91*t[39])/24 - (7*t[40])/2 + (11*t[41])/12 - (11*t[42])/12 + 
       (73*t[43])/24 - (181*t[44])/24 + (45*t[45])/8 + (31*t[46])/4 - 
       (83*t[47])/12 + (559*t[48])/64 - (277*t[49])/48 + (1693*t[50])/192 + 
       (5*t[51])/6 - (2621*t[52])/192 + (143*t[53])/16 - (195*t[54])/64 - 
       t[58]/2 - (19*t[59])/12 + (1187*t[60])/32 + (4671*t[61])/32 - 
       (16067*t[62])/192 - (2525*t[63])/192 - (5215*t[64])/192 - 
       (10579*t[65])/288 - (8249*t[66])/288 + t[69] - (37*t[72])/6 - 
       (3*t[73])/2 + 27*t[74] + (23*t[75])/2 + (52*t[76])/3 + (53*t[77])/6 - 
       (68*t[78])/3 - (55*t[79])/2 + (163*t[80])/6 - (41*t[81])/12 - 
       11*t[82] - 38*t[83] - (67*t[84])/96 - (2507*t[85])/96 - 
       (619*t[86])/12 - (2567*t[87])/96 - (2567*t[88])/192 + 
       (2779*t[89])/192 + 7*t[96] + (31*t[97])/6 + 85*t[98] - 53*t[99] - 
       74*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((-101*t[2])/2 + (59*t[3])/6 + (261*t[4])/4 - 
       (403*t[5])/6 + (707*t[6])/48 + (1249*t[7])/12 + (151*t[8])/12 + 
       (595*t[9])/8 + (103*t[10])/24 + (3521*t[11])/48 - (875*t[12])/24 + 
       (25*t[13])/8 + (4561*t[14])/72 + (1519*t[15])/144 + 4*t[24] - 
       (86*t[28])/3 - (52*t[29])/3 - (73*t[30])/6 - 8*t[31] - (7*t[32])/2 - 
       (15*t[33])/2 - 6*t[34] - 13*t[35] - 5*t[36] + 6*t[37] + t[41] - 
       t[42] - 5*t[43] + (79*t[44])/3 - 2*t[47] - (337*t[48])/16 + 
       (75*t[49])/8 + (1309*t[50])/48 - (99*t[51])/16 - (1309*t[52])/48 - 
       (75*t[53])/8 - (685*t[54])/48 + 5*t[59] + (2183*t[60])/24 + 
       (3763*t[61])/24 - (2317*t[62])/48 + (1055*t[63])/16 - 
       (6625*t[64])/48 + (175*t[65])/72 - (389*t[66])/24 - 8*t[72] - 
       16*t[73] + 12*t[74] - 48*t[75] + 6*t[76] - 16*t[78] + 15*t[79] - 
       32*t[80] - 2*t[81] + 5*t[82] + (116*t[83])/3 + (971*t[84])/24 + 
       (1103*t[85])/24 - (143*t[86])/3 - (699*t[87])/8 - (787*t[88])/16 + 
       (1393*t[89])/48 - 72*t[98] + 58*t[99] - 74*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (-7*t[1] + 3*t[2] - (65*t[3])/4 - (45*t[4])/8 - 36*t[5] - (37*t[6])/8 + 
       (9*t[7])/2 + 57*t[8] + (209*t[9])/4 + (1033*t[10])/16 + 
       (171*t[11])/8 + (429*t[12])/16 - (265*t[13])/9 + (9947*t[14])/96 - 
       (443*t[15])/48 + 4*t[25] + 4*t[26] + 8*t[27] - 6*t[28] + 4*t[29] - 
       2*t[30] + 5*t[31] + 11*t[35] + 2*t[36] + 6*t[37] - 8*t[38] - 6*t[39] - 
       2*t[44] + 10*t[45] - t[46] - 20*t[47] + (67*t[48])/8 - 
       (261*t[49])/16 - (265*t[50])/8 - (775*t[51])/32 + (265*t[52])/8 + 
       (301*t[53])/16 + (43*t[54])/4 + 5*t[59] + (813*t[60])/8 + 
       (1201*t[61])/8 - (847*t[62])/16 + (447*t[63])/16 - (2091*t[64])/16 + 
       (87*t[65])/8 - (677*t[66])/24 + 8*t[69] - 8*t[73] + 12*t[74] - 
       40*t[75] + 6*t[76] - 16*t[78] + 7*t[79] - 32*t[80] - 2*t[81] + 
       5*t[82] + 48*t[83] + (345*t[84])/8 + (389*t[85])/8 - 29*t[86] - 
       (827*t[87])/8 - (915*t[88])/16 + (475*t[89])/16 - 72*t[98] + 
       58*t[99] - 70*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*(3*t[1] + (49*t[2])/2 - (197*t[3])/6 - 
       (2635*t[4])/12 - (793*t[5])/12 + (134*t[6])/3 - (197*t[7])/6 + 
       118*t[8] + (497*t[9])/4 + (1867*t[10])/24 - (1553*t[11])/6 - 
       (2191*t[12])/24 - (20189*t[13])/108 + (10729*t[14])/144 + 
       (823*t[15])/36 - (4*t[25])/3 - (10*t[26])/3 + 4*t[27] + 4*t[28] + 
       4*t[29] + 10*t[30] + 4*t[31] - 2*t[32] + 2*t[33] + 6*t[34] - 8*t[35] - 
       (34*t[36])/3 + (134*t[37])/3 + (10*t[38])/3 + (10*t[39])/3 - 8*t[40] - 
       3*t[41] + 3*t[42] - 16*t[44] + (89*t[45])/6 + 21*t[46] - 
       (95*t[47])/3 + (152*t[48])/3 + (95*t[49])/8 + (179*t[50])/3 - 
       (359*t[51])/16 - 3*t[52] + (225*t[53])/8 + (1537*t[54])/12 - 
       (43*t[59])/3 - (1213*t[60])/12 - (2189*t[61])/12 + (8983*t[62])/24 + 
       (2459*t[63])/8 + (1039*t[64])/24 - (8851*t[65])/36 + (421*t[66])/4 - 
       (64*t[70])/3 + (64*t[71])/3 + 6*t[72] - 20*t[73] + (124*t[74])/3 + 
       56*t[75] - (130*t[76])/3 - (73*t[77])/3 + 98*t[78] + 6*t[79] - 
       (350*t[80])/3 - (52*t[81])/3 + 78*t[82] + 18*t[83] - (37*t[84])/4 + 
       (139*t[85])/4 - (647*t[86])/3 + (417*t[87])/4 - (925*t[88])/24 - 
       (717*t[89])/8 + (40*t[95])/3 + (28*t[96])/3 - (112*t[97])/3 - 
       112*t[98] + 192*t[99] - 70*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*((-50*t[1])/3 - (47*t[2])/2 + 
       (377*t[3])/3 + 142*t[4] + (127*t[5])/12 - (4181*t[6])/24 + 
       (385*t[7])/12 - (5981*t[8])/12 - (641*t[9])/4 - (1111*t[10])/12 + 
       (2339*t[11])/24 - (1927*t[12])/12 + (7429*t[13])/72 - (1289*t[14])/8 - 
       (10493*t[15])/216 + 4*t[20] + 8*t[21] - 12*t[22] - (88*t[23])/3 + 
       32*t[24] + 2*t[27] + 8*t[28] + 4*t[29] + (38*t[30])/3 - 
       (298*t[32])/3 + (112*t[33])/3 + (238*t[34])/3 + 20*t[35] - 2*t[36] + 
       (80*t[37])/3 - 24*t[39] + (86*t[40])/3 - 11*t[41] + 11*t[42] - 
       (53*t[43])/12 + 25*t[44] - (70*t[45])/3 - 3*t[46] + 20*t[47] - 
       (951*t[48])/8 - 10*t[49] + (1439*t[50])/24 + (53*t[51])/4 - 
       (1951*t[52])/24 + 4*t[53] - (3139*t[54])/24 - 4*t[57] - (43*t[59])/3 - 
       (1213*t[60])/12 - (2189*t[61])/12 + (8983*t[62])/24 + (2459*t[63])/8 + 
       (1039*t[64])/24 - (8851*t[65])/36 + (421*t[66])/4 - (64*t[70])/3 + 
       (64*t[71])/3 + 6*t[72] - 20*t[73] + (124*t[74])/3 + 56*t[75] - 
       (130*t[76])/3 - (73*t[77])/3 + 98*t[78] + 6*t[79] - (350*t[80])/3 - 
       (52*t[81])/3 + 78*t[82] + 18*t[83] - (37*t[84])/4 + (139*t[85])/4 - 
       (647*t[86])/3 + (417*t[87])/4 - (925*t[88])/24 - (717*t[89])/8 + 
       (40*t[95])/3 + (28*t[96])/3 - (112*t[97])/3 - 112*t[98] + 192*t[99] - 
       70*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      ((-13*t[1])/6 - (37*t[2])/6 - (209*t[3])/24 + (203*t[4])/16 + 
       (1333*t[5])/96 - (59*t[6])/24 - (89*t[7])/24 - 69*t[8] - 
       (755*t[9])/96 - (2333*t[10])/96 + (2737*t[11])/48 + (107*t[12])/48 + 
       (24427*t[13])/432 - (7501*t[14])/576 + (22927*t[15])/1728 - 4*t[20] + 
       2*t[21] + t[22] - 2*t[23] - (7*t[24])/2 + 2*t[25] - 2*t[26] - 
       (20*t[27])/3 - 3*t[28] - (89*t[29])/12 + 3*t[30] + (7*t[31])/3 - 
       (8*t[32])/3 + (37*t[33])/6 + (20*t[34])/3 - 12*t[35] - 3*t[36] - 
       20*t[37] - (11*t[38])/6 - (25*t[39])/3 + (5*t[40])/4 + (5*t[41])/3 - 
       (5*t[42])/3 + (5*t[43])/48 + (539*t[44])/24 - (17*t[45])/4 - 
       (9*t[46])/2 - (29*t[47])/3 - (71*t[48])/8 - (1031*t[49])/96 + 
       (689*t[50])/24 + (1195*t[51])/192 - (529*t[52])/24 + (237*t[53])/32 - 
       (425*t[54])/16 - 3*t[57] - (49*t[59])/12 - (237*t[60])/16 + 
       (573*t[61])/16 + (4841*t[62])/96 + (4127*t[63])/96 - (9065*t[64])/96 + 
       (7687*t[65])/144 - (2839*t[66])/144 - 10*t[69] - (26*t[72])/3 - 
       5*t[73] - 9*t[74] + 27*t[75] + (11*t[76])/6 + (13*t[77])/3 + t[78]/3 - 
       15*t[79] + (241*t[80])/6 + (5*t[81])/6 - 3*t[82] - (91*t[83])/2 + 
       (1021*t[84])/48 + (77*t[85])/48 - (805*t[86])/12 + (335*t[87])/48 + 
       (335*t[88])/96 - (1465*t[89])/96 - 5*t[96] - (17*t[97])/6 - 50*t[98] + 
       70*t[99] - 60*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((19*t[1])/4 + (75*t[2])/16 - (827*t[3])/48 + 
       (107*t[4])/48 - (13*t[5])/2 + (1255*t[6])/96 - (113*t[7])/4 - 
       (515*t[8])/24 - (443*t[9])/48 - (2311*t[10])/96 + (795*t[11])/32 + 
       (2119*t[12])/96 + (5701*t[13])/96 + (625*t[14])/576 + (37*t[15])/96 + 
       4*t[19] - t[20]/3 - 2*t[21] + 5*t[22] + 2*t[23] - (13*t[24])/2 + 
       2*t[25] - t[26] + t[27] + (25*t[28])/3 - 6*t[29] + (151*t[30])/12 - 
       (2*t[31])/3 + 2*t[32] + t[33]/6 - 4*t[34] - (31*t[35])/2 + 
       (17*t[36])/2 - 14*t[37] + t[38] + 3*t[39] + t[40] + 2*t[41] - 
       2*t[42] + (125*t[43])/48 + (263*t[44])/24 + 5*t[45] + (9*t[46])/4 + 
       t[47]/2 + (883*t[48])/96 - (1705*t[49])/96 - (363*t[50])/32 + 
       (1373*t[51])/192 + (203*t[52])/32 + (1705*t[53])/96 + 
       (1627*t[54])/96 + t[57] + (15*t[59])/4 + (163*t[60])/12 + 
       (235*t[61])/4 + (3347*t[62])/32 - (13033*t[63])/96 - (1687*t[64])/24 + 
       88*t[65] - (10007*t[66])/144 - 2*t[69] + 4*t[72] + (25*t[73])/4 - 
       (9*t[74])/4 - (31*t[75])/4 + t[76] + (15*t[77])/4 + (107*t[79])/4 + 
       (119*t[80])/4 + (111*t[81])/8 - (391*t[82])/24 - (359*t[83])/6 + 
       (671*t[84])/48 + (65*t[85])/8 - (1811*t[86])/24 + (209*t[87])/24 + 
       (209*t[88])/48 + (1319*t[89])/48 - t[97] + 16*t[98] - 34*t[99] - 
       59*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*(t[3] - (95*t[4])/3 + (259*t[5])/12 + 3*t[6] + 
       (19*t[7])/3 + (52*t[8])/3 - (325*t[9])/12 + (19*t[10])/3 + 
       (59*t[11])/2 + (119*t[12])/4 + (20*t[13])/9 + (421*t[14])/36 + 
       (821*t[15])/72 - 4*t[31] + 4*t[35] + 2*t[36] + (13*t[43])/2 + 
       13*t[45] - 2*t[46] - 26*t[47] + 2*t[48] - (56*t[49])/3 + 4*t[51] + 
       (56*t[53])/3 - (28*t[54])/3 + (4*t[60])/3 + (125*t[61])/3 - 
       (232*t[62])/3 - 16*t[63] + (319*t[64])/6 + (137*t[65])/9 - 
       (203*t[66])/3 + 66*t[73] - 90*t[75] + 2*t[79] - 2*t[81] + 2*t[82] - 
       (76*t[83])/3 + (37*t[84])/3 + (22*t[85])/3 + (142*t[86])/3 + 2*t[87] + 
       t[88] - (157*t[89])/6 + 4*t[99] - 58*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((10*t[3])/3 + 8*t[4] - (473*t[5])/12 - (34*t[6])/3 + (142*t[7])/3 - 
       (149*t[8])/3 + (193*t[9])/4 - (89*t[10])/6 + (157*t[11])/6 + 
       (299*t[12])/12 + (28*t[13])/9 - (659*t[14])/18 - (1199*t[15])/72 + 
       (34*t[28])/3 + (56*t[29])/3 - (56*t[30])/3 + 4*t[35] - (13*t[43])/2 + 
       (94*t[44])/3 - 13*t[45] + 26*t[47] - 4*t[48] - (9*t[49])/2 + 
       (40*t[50])/3 + (9*t[51])/4 - (40*t[52])/3 + (9*t[53])/2 - 
       (25*t[54])/3 + (4*t[60])/3 + (125*t[61])/3 - (232*t[62])/3 - 
       16*t[63] + (319*t[64])/6 + (137*t[65])/9 - (203*t[66])/3 + 66*t[73] - 
       90*t[75] + 2*t[79] - 2*t[81] + 2*t[82] - (76*t[83])/3 + (37*t[84])/3 + 
       (22*t[85])/3 + (142*t[86])/3 + 2*t[87] + t[88] - (157*t[89])/6 + 
       4*t[99] - 58*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(3*t[1] + t[2]/2 - (127*t[3])/24 + (303*t[4])/8 - 
       (71*t[5])/48 - (235*t[6])/12 - (211*t[7])/8 - (343*t[8])/8 - 
       (275*t[9])/16 - (2237*t[10])/48 - (31*t[11])/3 - (307*t[12])/12 - 
       (707*t[13])/144 - (2597*t[14])/288 + (3469*t[15])/288 - t[22] - 
       5*t[25] + 5*t[26] + t[27] - 2*t[28] + 2*t[30] - (37*t[31])/3 - 
       4*t[32] + 4*t[33] + t[34] - 13*t[35] - t[36] - 3*t[37] - t[38] + 
       6*t[40] - 2*t[41] + 2*t[42] + (29*t[43])/6 - 3*t[44] - (13*t[45])/4 - 
       (7*t[46])/2 - (13*t[47])/2 + (15*t[48])/8 + (271*t[49])/48 + 
       t[50]/24 + (73*t[51])/32 - (121*t[52])/24 - (319*t[53])/48 - t[54]/6 - 
       t[58] + (17*t[59])/4 + (1045*t[60])/48 + (303*t[61])/16 + 
       (1309*t[62])/24 - 62*t[63] - (567*t[64])/32 - (663*t[65])/8 - 
       (4633*t[66])/144 + 10*t[69] - 4*t[70] + 4*t[71] + 8*t[72] - 11*t[73] - 
       3*t[74] + 20*t[75] + 3*t[76] - (33*t[77])/4 + 10*t[78] - (7*t[79])/2 + 
       (289*t[80])/4 + t[81]/2 + (23*t[82])/12 + (19*t[83])/2 - 
       (455*t[84])/48 - (739*t[85])/48 + (1249*t[86])/24 - (389*t[87])/48 - 
       (389*t[88])/96 - (1715*t[89])/32 - t[97] - 16*t[98] + 26*t[99] - 
       58*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-9*t[1])/2 + (127*t[2])/8 - (239*t[3])/4 + 
       (3037*t[4])/32 - (1047*t[5])/16 + (171*t[6])/2 + (371*t[7])/8 + 
       (1229*t[8])/24 + (2747*t[9])/48 - (15947*t[10])/192 + (473*t[11])/6 + 
       (7213*t[12])/192 + (47975*t[13])/864 + (111907*t[14])/1152 - 
       (14191*t[15])/1728 - 2*t[24] - (7*t[25])/3 + (14*t[26])/3 - 
       (65*t[27])/3 + (62*t[28])/3 + (9*t[29])/2 + (19*t[30])/6 + 
       (11*t[31])/2 + (11*t[32])/3 - (5*t[33])/3 - (9*t[34])/2 - 17*t[35] + 
       (23*t[36])/3 - (37*t[37])/3 - (11*t[38])/12 + (71*t[39])/12 - 
       5*t[40] + (13*t[41])/4 - (13*t[42])/4 - (7*t[43])/4 - (31*t[44])/6 - 
       (233*t[45])/12 + (21*t[46])/4 + (85*t[47])/2 + (113*t[48])/8 + 
       (4159*t[49])/192 - (665*t[50])/24 + (757*t[51])/384 + (159*t[52])/8 - 
       (1663*t[53])/192 - (333*t[54])/32 + (77*t[59])/12 + (4519*t[60])/96 + 
       (22007*t[61])/96 - (27541*t[62])/192 - (10889*t[63])/64 + 
       (9419*t[64])/192 + (11791*t[65])/288 - (20953*t[66])/96 + 4*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 - (19*t[72])/2 + (67*t[73])/2 - 
       (8*t[74])/3 - t[75]/2 + (283*t[76])/6 + (20*t[77])/3 - (111*t[78])/2 - 
       (51*t[79])/2 + (220*t[80])/3 + (569*t[81])/12 - 93*t[82] - 
       (123*t[83])/2 + (545*t[84])/32 - (655*t[85])/32 - (38*t[86])/3 - 
       (1527*t[87])/32 - (1445*t[88])/192 + (6735*t[89])/64 + (4*t[95])/3 + 
       (107*t[96])/6 + (41*t[97])/3 + 215*t[98] - 167*t[99] - 53*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (-7*t[1] + (11*t[2])/8 + t[3]/4 + (815*t[4])/24 - (1385*t[5])/48 - 
       (113*t[6])/48 - (43*t[7])/2 - (455*t[8])/12 + (271*t[9])/16 - 
       (2693*t[10])/48 - (77*t[11])/16 + (767*t[12])/24 + (3025*t[13])/144 - 
       (2449*t[14])/288 - (1537*t[15])/96 - t[24] + (13*t[25])/3 - 
       (4*t[26])/3 - 3*t[27] + 2*t[29] - (5*t[30])/2 + (35*t[31])/6 - 
       (5*t[32])/2 + (11*t[33])/2 - t[34] + 16*t[35] + t[36]/2 + t[37] - 
       3*t[38] - 3*t[39] + 5*t[40] - (16*t[43])/3 + 2*t[44] - (37*t[45])/4 + 
       (5*t[46])/6 + (33*t[47])/2 - (87*t[48])/16 + (95*t[49])/16 - 
       (255*t[50])/16 - (347*t[51])/96 + (255*t[52])/16 - (111*t[53])/16 + 
       (515*t[54])/48 - (17*t[59])/4 + (1837*t[60])/48 - (157*t[61])/16 - 
       (65*t[62])/16 - (935*t[63])/48 + (3119*t[64])/96 - (181*t[65])/4 - 
       (16625*t[66])/144 - 8*t[69] + 4*t[70] - 4*t[71] + t[72]/2 + 10*t[73] - 
       13*t[74] - 16*t[75] - (29*t[77])/4 - 17*t[78] + (25*t[79])/2 + 
       (23*t[80])/4 + (7*t[81])/2 - (269*t[82])/12 - t[83]/3 + 
       (275*t[84])/48 + (197*t[85])/16 + (103*t[86])/24 - (1139*t[87])/48 - 
       (1139*t[88])/96 + (1843*t[89])/96 - 12*t[98] + 22*t[99] - 53*t[100])*
      \[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - w]*(-502*t[2] - 56*t[3] + 
       114*t[4] - 200*t[5] - 28*t[6] + 128*t[7] + 136*t[8] + 66*t[9] + 
       17*t[10] + 176*t[11] + 25*t[12] + (580*t[13])/9 + (593*t[14])/6 - 
       19*t[15] - 32*t[18] - 144*t[35] - 48*t[36] + 20*t[37] + 16*t[41] - 
       16*t[42] + 16*t[47] - 36*t[48] + 15*t[49] + 36*t[50] - (45*t[51])/2 - 
       36*t[52] - 15*t[53] - 102*t[54] + 88*t[59] + 350*t[60] - 166*t[61] + 
       17*t[62] + 359*t[63] - 333*t[64] - (358*t[65])/3 - 418*t[66] - 
       96*t[70] + 96*t[71] - 144*t[74] - 156*t[76] + 164*t[78] - 64*t[80] + 
       16*t[81] - 16*t[82] - 18*t[84] + 66*t[85] - 212*t[87] - 106*t[88] - 
       67*t[89] - 96*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{0, 1, 1, 1, 1}, 1 - v]*(-64*t[1] + 33*t[3] + 128*t[4] - 4*t[5] - 
       135*t[6] + 24*t[7] - 288*t[8] + 46*t[9] + 108*t[10] - 33*t[11] + 
       146*t[12] + (1696*t[13])/9 + 23*t[14] - (415*t[15])/6 + 32*t[25] - 
       28*t[26] - 30*t[29] + 24*t[30] + 144*t[36] + 128*t[37] - 20*t[38] + 
       6*t[40] + 60*t[44] - 80*t[46] - 129*t[48] + 36*t[49] - 57*t[50] - 
       14*t[51] + 57*t[52] - 36*t[53] - 63*t[54] + 88*t[59] + 350*t[60] - 
       166*t[61] + 17*t[62] + 359*t[63] - 333*t[64] - (358*t[65])/3 - 
       418*t[66] - 96*t[70] + 96*t[71] - 144*t[74] - 156*t[76] + 164*t[78] - 
       64*t[80] + 16*t[81] - 16*t[82] - 18*t[84] + 66*t[85] - 212*t[87] - 
       106*t[88] - 67*t[89] - 96*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((5*t[1])/4 + 21*t[2] - (11*t[3])/16 + (379*t[4])/12 + (193*t[5])/12 + 
       (763*t[6])/32 + (207*t[7])/16 + (1327*t[8])/48 + (451*t[9])/24 - 
       (425*t[10])/16 + (4393*t[11])/96 - (61*t[12])/8 + (9863*t[13])/288 + 
       (1733*t[14])/288 + (127*t[15])/32 + (7*t[20])/3 - t[21] - 2*t[22] + 
       t[23] + t[24]/2 - t[26] - t[27] - (19*t[28])/3 + (13*t[29])/4 - 
       (77*t[30])/6 + (19*t[31])/3 + t[32]/2 - (17*t[33])/3 - t[34] + 
       2*t[35] + 18*t[36] - 8*t[37] + t[38] + (5*t[39])/2 + (3*t[40])/2 - 
       3*t[41] + 3*t[42] + (149*t[43])/48 - (59*t[44])/24 + t[45] + 
       (3*t[46])/4 + (7*t[47])/2 + (473*t[48])/96 - (7*t[49])/8 - 
       (635*t[50])/96 + (10*t[51])/3 + (539*t[52])/96 + (7*t[53])/8 - 
       (365*t[54])/96 + t[57] - t[59]/4 + (607*t[60])/16 - (525*t[61])/16 - 
       (139*t[62])/48 - (511*t[63])/48 + (2239*t[64])/96 - (575*t[65])/12 - 
       (13649*t[66])/144 + t[72]/2 + 14*t[73] - 17*t[74] - 12*t[75] - 
       (29*t[77])/4 - 17*t[78] + (17*t[79])/2 + (23*t[80])/4 + (3*t[81])/2 - 
       (245*t[82])/12 + t[83]/3 + (275*t[84])/48 + (767*t[85])/48 + 
       (109*t[86])/8 - (417*t[87])/16 - (417*t[88])/32 + (1763*t[89])/96 - 
       12*t[98] + 22*t[99] - 45*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*(t[1]/6 + (215*t[2])/8 - 
       (239*t[3])/24 + (109*t[4])/8 + (407*t[5])/24 + (3121*t[6])/192 - 
       (1313*t[7])/48 + (277*t[8])/48 - (2941*t[9])/96 + (59*t[10])/16 - 
       (793*t[11])/192 - (155*t[12])/24 + (2245*t[13])/144 + 
       (1967*t[14])/192 + (2659*t[15])/576 - t[18]/3 + (5*t[20])/3 + 
       4*t[24] + t[27]/6 + (65*t[28])/6 - (161*t[29])/24 - (131*t[30])/12 - 
       (10*t[31])/3 - (71*t[32])/6 + (33*t[33])/2 - (19*t[34])/6 - 32*t[35] + 
       t[36]/2 - t[37]/3 + t[38]/12 - t[39]/8 + (7*t[40])/12 - t[41]/12 + 
       t[42]/12 - (5*t[43])/3 - (93*t[44])/8 + t[46]/4 + (13*t[47])/6 + 
       (1843*t[48])/192 + (13*t[49])/48 - (519*t[50])/64 - (11*t[51])/96 + 
       (1525*t[52])/192 + t[53]/16 + (387*t[54])/64 - (47*t[59])/12 + 
       (125*t[60])/32 + (2047*t[61])/96 + (2649*t[62])/64 - 
       (4315*t[63])/192 - (10637*t[64])/192 - (1337*t[65])/288 - 
       (10043*t[66])/288 - (16*t[69])/3 + (10*t[70])/3 - (10*t[71])/3 - 
       (5*t[72])/6 - (3*t[73])/2 + (23*t[74])/3 - (25*t[75])/6 + 
       (25*t[76])/6 + (2*t[77])/3 - (15*t[78])/2 + (35*t[79])/6 - 
       (20*t[80])/3 + (79*t[81])/12 - (55*t[82])/6 - (37*t[83])/2 + 
       (563*t[84])/96 - (181*t[85])/96 - (499*t[86])/6 - (1109*t[87])/96 - 
       (487*t[88])/64 + (2957*t[89])/192 + t[96]/2 + t[97]/3 - 17*t[98] + 
       15*t[99] - (121*t[100])/3)*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-13*t[1] - 3*t[2] + (9*t[3])/2 + 20*t[4] - 
       (35*t[5])/4 + (63*t[6])/4 - (25*t[7])/2 - (91*t[8])/2 - (23*t[9])/4 - 
       (23*t[10])/2 - (183*t[11])/4 + (147*t[12])/4 - (1063*t[13])/36 - 
       (131*t[14])/4 - (9*t[15])/8 - 20*t[25] + 36*t[26] - 8*t[27] - 
       4*t[35] + 12*t[36] - 32*t[37] - 8*t[38] - 2*t[40] - 2*t[45] - 
       4*t[46] + 4*t[47] - (33*t[48])/4 + 3*t[49] + (19*t[50])/4 + 
       (25*t[51])/4 - (19*t[52])/4 - 7*t[53] - (19*t[54])/4 - 3*t[59] - 
       (127*t[60])/2 - (89*t[61])/2 + (267*t[62])/4 - (35*t[63])/4 - 
       (821*t[64])/4 + (17*t[65])/2 + (499*t[66])/6 - 10*t[69] - 8*t[70] + 
       8*t[71] - 16*t[73] - 8*t[74] + 4*t[75] + 2*t[77] + 2*t[78] - 4*t[79] + 
       20*t[80] + 6*t[81] - 10*t[82] - t[83] - (5*t[84])/2 + (7*t[85])/2 - 
       28*t[86] - (33*t[87])/2 - (33*t[88])/4 + (23*t[89])/4 + 56*t[99] - 
       40*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (30*t[2] + (53*t[3])/2 + (25*t[4])/2 + (41*t[5])/4 + (55*t[6])/2 + 
       (5*t[7])/2 - (19*t[8])/2 + (151*t[9])/4 - (61*t[10])/4 - 
       (27*t[11])/2 + 12*t[12] + (91*t[13])/12 - (105*t[14])/8 + 
       (275*t[15])/8 - 2*t[18] + 10*t[22] - 4*t[24] + 20*t[29] + 8*t[32] - 
       10*t[33] - 20*t[34] + 4*t[35] - 4*t[36] - 10*t[37] - 3*t[41] + 
       3*t[42] + t[43] - 21*t[44] + 2*t[46] - 6*t[47] + 9*t[48] + 
       (19*t[49])/4 + 6*t[50] - (7*t[51])/8 - 6*t[52] - (19*t[53])/4 + 
       (3*t[54])/2 - 3*t[59] - (127*t[60])/2 - (89*t[61])/2 + (267*t[62])/4 - 
       (35*t[63])/4 - (821*t[64])/4 + (17*t[65])/2 + (499*t[66])/6 - 
       10*t[69] - 8*t[70] + 8*t[71] - 16*t[73] - 8*t[74] + 4*t[75] + 
       2*t[77] + 2*t[78] - 4*t[79] + 20*t[80] + 6*t[81] - 10*t[82] - t[83] - 
       (5*t[84])/2 + (7*t[85])/2 - 28*t[86] - (33*t[87])/2 - (33*t[88])/4 + 
       (23*t[89])/4 + 56*t[99] - 40*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-11*t[1])/2 - (77*t[2])/4 - (35*t[3])/8 - (151*t[4])/8 + 55*t[5] + 
       (213*t[6])/16 - (267*t[7])/4 - (41*t[8])/4 - (705*t[9])/8 - 
       (73*t[10])/16 + (45*t[11])/16 - (93*t[12])/16 - (2057*t[13])/144 + 
       (7*t[14])/96 + (3535*t[15])/144 - 4*t[24] - 4*t[25] + 10*t[26] - 
       8*t[27] + (27*t[28])/2 - (13*t[29])/2 - t[30] - 3*t[32] - t[33] - 
       2*t[34] + 30*t[35] + 11*t[36] - 6*t[37] - 5*t[38] + (31*t[40])/2 + 
       t[41] - t[42] + (5*t[43])/4 - (23*t[44])/2 - (29*t[45])/2 + 
       (35*t[46])/2 + 26*t[47] + (229*t[48])/16 + (85*t[49])/16 + 
       (313*t[50])/16 - (69*t[51])/32 - (345*t[52])/16 - (69*t[53])/16 - 
       (403*t[54])/16 + (5*t[59])/2 - 133*t[60] + (5*t[61])/4 - 
       (289*t[62])/8 + (217*t[63])/8 + (691*t[64])/8 + (19*t[65])/12 + 
       (235*t[66])/4 + 4*t[69] - 6*t[72] - (41*t[73])/2 - 6*t[74] + 
       (59*t[75])/2 - 3*t[76] - 11*t[77] - 3*t[78] - (11*t[79])/2 + 
       46*t[80] - t[81] + (75*t[83])/2 - (139*t[84])/4 - (85*t[85])/4 - 
       (39*t[86])/2 + (393*t[87])/4 + (401*t[88])/8 - (259*t[89])/8 - 
       2*t[96] + 4*t[97] - 40*t[98] + 52*t[99] - 36*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (t[1]/2 + (129*t[2])/4 - (209*t[3])/8 - (863*t[4])/8 + 30*t[5] - 
       (47*t[6])/16 + (235*t[7])/4 - (671*t[8])/4 - (147*t[9])/8 + 
       (7*t[10])/16 - (1399*t[11])/16 + (195*t[12])/16 - (2953*t[13])/144 - 
       (4397*t[14])/96 + (869*t[15])/144 + 8*t[20] - 4*t[22] + 4*t[24] - 
       6*t[28] - t[29] - 15*t[30] - 6*t[31] + 8*t[32] + 5*t[33] - 3*t[34] + 
       8*t[35] + (15*t[36])/2 - 4*t[37] - 5*t[39] - (5*t[40])/2 + t[41] - 
       t[42] + (25*t[43])/4 + (35*t[44])/2 - (5*t[45])/2 - (7*t[46])/2 + 
       14*t[47] - (647*t[48])/16 - (315*t[49])/16 + (485*t[50])/16 + 
       (591*t[51])/32 - (501*t[52])/16 + (347*t[53])/16 + (265*t[54])/16 + 
       (5*t[59])/2 - 133*t[60] + (5*t[61])/4 - (289*t[62])/8 + 
       (217*t[63])/8 + (691*t[64])/8 + (19*t[65])/12 + (235*t[66])/4 + 
       4*t[69] - 6*t[72] - (41*t[73])/2 - 6*t[74] + (59*t[75])/2 - 3*t[76] - 
       11*t[77] - 3*t[78] - (11*t[79])/2 + 46*t[80] - t[81] + (75*t[83])/2 - 
       (139*t[84])/4 - (85*t[85])/4 - (39*t[86])/2 + (393*t[87])/4 + 
       (401*t[88])/8 - (259*t[89])/8 - 2*t[96] + 4*t[97] - 40*t[98] + 
       52*t[99] - 36*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*((-367*t[2])/16 - (383*t[3])/24 + (1427*t[4])/48 - 
       (1499*t[5])/48 - (185*t[6])/12 + (313*t[7])/16 - (2641*t[8])/48 + 
       (17*t[9])/6 - (2357*t[10])/96 + (3011*t[11])/48 - (487*t[12])/96 + 
       (1667*t[13])/144 + (3065*t[14])/192 + (643*t[15])/96 + (29*t[20])/12 - 
       t[22] - 2*t[24] - (43*t[28])/6 - (7*t[29])/4 + t[30]/3 - 8*t[31] + 
       3*t[32] - (19*t[33])/12 - (7*t[35])/2 - 9*t[36] - t[37] - 2*t[41] + 
       2*t[42] + (17*t[43])/4 + (199*t[44])/12 + (17*t[45])/2 + 2*t[46] - 
       19*t[47] - (191*t[48])/24 + (583*t[49])/96 + (259*t[50])/24 - 
       (295*t[51])/192 - (259*t[52])/24 - (583*t[53])/96 - (287*t[54])/16 - 
       t[59] + (1283*t[60])/48 + (1189*t[61])/16 - (8489*t[62])/96 - 
       (19*t[63])/96 + (53*t[64])/96 - (259*t[65])/6 - (2537*t[66])/24 - 
       t[69] - 8*t[72] - (7*t[73])/4 - (25*t[74])/4 - (75*t[75])/4 + 
       8*t[77] + 2*t[78] - (29*t[79])/4 + 4*t[80] + (79*t[81])/8 - 
       (135*t[82])/8 + (26*t[83])/3 + (13*t[84])/2 + (479*t[85])/48 + 
       (601*t[86])/12 - (403*t[87])/48 - (451*t[88])/96 - (1529*t[89])/96 + 
       6*t[99] - (71*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*(-t[1]/2 - (3*t[2])/4 - 
       (69*t[3])/4 + (4*t[4])/3 - (26*t[5])/3 + (289*t[6])/16 - 
       (425*t[7])/12 + (169*t[8])/12 - (125*t[9])/24 + (101*t[10])/6 - 
       (137*t[11])/16 + (7*t[12])/2 + (116*t[13])/9 + (1507*t[14])/144 + 
       (259*t[15])/48 + 2*t[25] - t[26] - 2*t[27] + 7*t[28] - t[29] + t[30] + 
       2*t[31] - 4*t[32] + 4*t[33] - 11*t[35] + 19*t[36] - t[38] + 3*t[39] - 
       2*t[40] - 2*t[43] - (17*t[44])/2 - t[45] + (11*t[46])/2 + 2*t[47] + 
       (115*t[48])/16 - (61*t[49])/6 - (141*t[50])/16 + t[51]/8 + 
       (141*t[52])/16 + (61*t[53])/6 + (659*t[54])/48 + t[59] - 
       (499*t[60])/24 + (781*t[61])/24 + (1721*t[62])/48 + (109*t[63])/16 - 
       (1159*t[64])/48 + (139*t[65])/72 - (673*t[66])/24 - 8*t[69] + 
       8*t[73] + t[74] - 31*t[75] + 2*t[76] + 6*t[77] + 2*t[78] + 23*t[79] - 
       6*t[80] + (21*t[81])/2 - (21*t[82])/2 + (73*t[83])/6 + (71*t[84])/24 + 
       (29*t[85])/24 - (197*t[86])/3 + (151*t[87])/8 + (151*t[88])/16 + 
       (607*t[89])/48 + 12*t[98] - 25*t[99] - (69*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*((-19*t[1])/6 - (17*t[2])/24 - 
       (4*t[3])/3 + (1195*t[4])/96 + (523*t[5])/48 + (191*t[6])/16 - 
       (397*t[7])/24 - (431*t[8])/24 - (455*t[9])/48 - (863*t[10])/192 + 
       (179*t[11])/48 + (745*t[12])/192 + (6095*t[13])/864 + 
       (7063*t[14])/1152 + (2507*t[15])/576 - 3*t[25] + (10*t[26])/3 - 
       (2*t[27])/3 + (16*t[28])/3 + (2*t[29])/3 - (7*t[30])/6 + 
       (29*t[31])/6 - t[34]/6 - (5*t[35])/3 - t[36] + (7*t[37])/3 - t[38]/4 + 
       (19*t[39])/4 + t[41]/12 - t[42]/12 + t[43]/12 - (2*t[44])/3 + 
       4*t[45] + (35*t[46])/12 - 8*t[47] + (149*t[48])/48 - 
       (1325*t[49])/192 + (7*t[50])/16 + (745*t[51])/384 - (29*t[52])/48 - 
       (177*t[53])/64 - (259*t[54])/32 + t[59]/12 + (343*t[60])/96 - 
       (161*t[61])/96 + (8171*t[62])/192 - (873*t[63])/64 - 
       (12397*t[64])/192 - (2105*t[65])/288 - (4091*t[66])/288 + 
       (8*t[69])/3 - (2*t[70])/3 + (2*t[71])/3 - (5*t[72])/6 + (5*t[73])/2 + 
       (11*t[74])/3 - t[75]/6 + (25*t[76])/6 + (2*t[77])/3 - (15*t[78])/2 + 
       (11*t[79])/6 - (20*t[80])/3 + (55*t[81])/12 - (43*t[82])/6 - 
       (107*t[83])/6 + (563*t[84])/96 + (57*t[85])/32 - (443*t[86])/6 - 
       (1333*t[87])/96 - (1685*t[88])/192 + (2797*t[89])/192 + t[96]/2 + 
       t[97]/3 - 17*t[98] + 15*t[99] - (97*t[100])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      (-4*t[1] - (421*t[3])/24 + (71*t[4])/4 - (1027*t[5])/24 + 
       (527*t[6])/32 + (1523*t[7])/48 + (157*t[8])/16 + (1427*t[9])/24 + 
       (679*t[10])/48 + (1933*t[11])/96 + (251*t[12])/16 + (1639*t[13])/72 + 
       (7771*t[14])/288 - (497*t[15])/48 + (19*t[25])/3 - (13*t[26])/3 - 
       6*t[27] - 2*t[28] + 2*t[31] - 4*t[35] + t[36] - t[37] - 2*t[38] - 
       2*t[39] - 5*t[40] - (3*t[43])/4 + 2*t[44] - 5*t[45] - (14*t[46])/3 + 
       10*t[47] - (189*t[48])/32 + (27*t[49])/8 - (119*t[50])/96 + 
       (5*t[51])/12 + (119*t[52])/96 - (19*t[53])/8 - (409*t[54])/96 - 
       t[59] + (1795*t[60])/48 + (3247*t[61])/48 - (2979*t[62])/32 - 
       (3667*t[63])/96 + (757*t[64])/96 - (625*t[65])/18 - (2825*t[66])/24 + 
       7*t[69] + (25*t[73])/4 - (25*t[74])/4 - (43*t[75])/4 + 8*t[77] + 
       2*t[78] - (61*t[79])/4 + 4*t[80] + (79*t[81])/8 - (135*t[82])/8 + 
       18*t[83] + (55*t[84])/6 + (607*t[85])/48 + (275*t[86])/4 - 
       (1171*t[87])/48 - (1219*t[88])/96 - (1465*t[89])/96 + 6*t[99] - 
       (63*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(-t[2]/2 - (29*t[3])/4 + (55*t[4])/8 + (37*t[5])/4 + 
       12*t[6] - (33*t[7])/2 - 20*t[8] - 6*t[9] + (193*t[10])/16 - 
       (15*t[11])/4 + (77*t[12])/16 + (211*t[13])/12 - (1549*t[14])/96 - 
       (215*t[15])/144 - t[24] - 4*t[28] + 2*t[29] - 4*t[30] + 12*t[31] + 
       3*t[33] + 10*t[35] - 8*t[36] + 4*t[39] - 4*t[40] + t[41]/2 - t[42]/2 + 
       t[43]/2 + 6*t[44] + 4*t[45] + (9*t[46])/2 - 7*t[47] - (5*t[48])/2 - 
       (21*t[49])/16 - 3*t[50] + (21*t[51])/32 + 3*t[52] + (21*t[53])/16 - 
       (3*t[54])/8 + t[59] - (81*t[60])/8 + (207*t[61])/8 + (499*t[62])/16 - 
       (499*t[63])/16 - (269*t[64])/16 + (83*t[65])/8 - (961*t[66])/24 + 
       8*t[72] + 16*t[73] + t[74] - 23*t[75] + 2*t[76] + 6*t[77] + 2*t[78] + 
       15*t[79] - 6*t[80] + (21*t[81])/2 - (21*t[82])/2 + (43*t[83])/2 + 
       (45*t[84])/8 + (31*t[85])/8 - 47*t[86] + (23*t[87])/8 + 
       (23*t[88])/16 + (213*t[89])/16 + 12*t[98] - 25*t[99] - (61*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      ((-9*t[2])/2 - (29*t[3])/12 + 2*t[4] - (265*t[5])/24 + (137*t[6])/12 + 
       (71*t[7])/2 + 40*t[8] - (17*t[9])/8 - (821*t[10])/12 + 
       (473*t[11])/12 - (29*t[12])/24 + (631*t[13])/36 - (35*t[14])/72 - 
       (1339*t[15])/144 - 3*t[27] - 6*t[28] - (16*t[31])/3 + t[32] - t[33] + 
       8*t[35] + 12*t[36] - t[37] - 5*t[39] + 5*t[40] + t[41]/2 - t[42]/2 + 
       (29*t[43])/6 + t[44] - 13*t[45] - (11*t[46])/2 + 27*t[47] + 
       (3*t[48])/4 + (43*t[49])/12 - (19*t[50])/12 + 6*t[51] + 
       (19*t[52])/12 - (43*t[53])/12 - (35*t[54])/12 - (85*t[60])/6 + 
       (107*t[61])/2 - (1351*t[62])/12 - (31*t[63])/4 + (965*t[64])/4 - 
       (277*t[65])/6 - (787*t[66])/9 + 6*t[72] - 8*t[73] - 20*t[74] - 
       8*t[75] - 9*t[77] - 10*t[78] - 21*t[79] + 44*t[80] + 8*t[81] - 
       (34*t[82])/3 + 18*t[83] - (29*t[84])/3 + (5*t[85])/3 + (383*t[86])/3 + 
       (133*t[87])/3 + (133*t[88])/6 + (19*t[89])/4 + 24*t[98] - 28*t[99] - 
       30*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-3*t[1] - 93*t[2] + (631*t[3])/12 + 
       (341*t[4])/4 - (2371*t[5])/24 + (551*t[6])/12 + (343*t[7])/12 + 
       (3457*t[8])/12 + (69*t[9])/8 - (6569*t[10])/24 + (3659*t[11])/12 + 
       (80*t[12])/3 + (6949*t[13])/72 + (14273*t[14])/144 - 
       (3799*t[15])/144 - 4*t[20] - 12*t[24] - 2*t[25] + 2*t[26] - 10*t[27] + 
       (22*t[28])/3 + (29*t[29])/3 + (130*t[30])/3 + 8*t[31] + 6*t[32] - 
       4*t[33] + 14*t[34] - 4*t[35] + 50*t[36] + 10*t[37] - 2*t[38] + 
       2*t[39] + t[40] + t[41] - t[42] + (25*t[43])/2 - (119*t[44])/3 - 
       53*t[45] + t[46] + 64*t[47] + (43*t[48])/2 - (39*t[49])/8 - 
       (25*t[50])/6 + (111*t[51])/16 + (109*t[52])/6 - (105*t[53])/8 - 
       (835*t[54])/12 + 11*t[59] + (199*t[60])/12 + (2381*t[61])/12 - 
       (2309*t[62])/24 + (839*t[63])/8 + (7693*t[64])/24 - (3277*t[65])/36 - 
       (3793*t[66])/12 + 4*t[69] + 8*t[70] - 8*t[71] + 6*t[72] + 38*t[73] - 
       50*t[74] + 26*t[75] - 34*t[76] - 33*t[77] + 114*t[78] - 54*t[79] + 
       82*t[80] + 33*t[81] - 27*t[82] + (164*t[83])/3 - (1043*t[84])/12 - 
       (341*t[85])/12 + (1000*t[86])/3 + (7*t[87])/4 - (13*t[88])/8 - 
       (1747*t[89])/24 - 12*t[95] - 12*t[96] - 6*t[97] + 16*t[98] - 
       84*t[99] - 24*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(-13*t[1] + (143*t[2])/2 + (221*t[3])/4 + 
       (419*t[4])/6 + (509*t[5])/24 - (617*t[6])/8 + (739*t[7])/12 + 
       (1147*t[8])/12 + (769*t[9])/24 - (1297*t[10])/6 + (541*t[11])/8 - 
       (341*t[12])/8 + (4871*t[13])/72 - (3649*t[14])/72 - (1121*t[15])/48 + 
       4*t[20] - 4*t[22] + 8*t[24] + 12*t[25] - 4*t[26] + 20*t[27] - 
       32*t[28] - 18*t[29] + 4*t[30] - 24*t[31] + 6*t[32] + 2*t[33] + 
       2*t[34] + 36*t[35] + 18*t[36] - 2*t[37] - 16*t[38] - 18*t[39] + 
       29*t[40] - 3*t[41] + 3*t[42] + (9*t[43])/2 + 15*t[44] - 29*t[45] - 
       13*t[46] + 60*t[47] - (117*t[48])/8 + (979*t[49])/12 - (137*t[50])/8 - 
       (77*t[51])/8 + (57*t[52])/8 - (451*t[53])/12 + (355*t[54])/24 + 
       11*t[59] + (199*t[60])/12 + (2381*t[61])/12 - (2309*t[62])/24 + 
       (839*t[63])/8 + (7693*t[64])/24 - (3277*t[65])/36 - (3793*t[66])/12 + 
       4*t[69] + 8*t[70] - 8*t[71] + 6*t[72] + 38*t[73] - 50*t[74] + 
       26*t[75] - 34*t[76] - 33*t[77] + 114*t[78] - 54*t[79] + 82*t[80] + 
       33*t[81] - 27*t[82] + (164*t[83])/3 - (1043*t[84])/12 - 
       (341*t[85])/12 + (1000*t[86])/3 + (7*t[87])/4 - (13*t[88])/8 - 
       (1747*t[89])/24 - 12*t[95] - 12*t[96] - 6*t[97] + 16*t[98] - 
       84*t[99] - 24*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-21*t[1] - (5*t[3])/2 - (55*t[4])/2 + 
       (15*t[5])/2 + 5*t[6] + (21*t[7])/2 + (39*t[8])/2 - 7*t[9] + 
       (171*t[10])/4 + 26*t[11] - (67*t[12])/4 + (87*t[13])/4 + 
       (305*t[14])/8 - (25*t[15])/6 + 32*t[25] - 10*t[26] - 6*t[36] - 
       6*t[37] - 22*t[38] + 2*t[40] - 2*t[45] - 10*t[46] + 4*t[47] + 
       10*t[48] + (79*t[49])/4 + 9*t[50] - (51*t[51])/8 - 9*t[52] - 
       (91*t[53])/4 - (45*t[54])/2 + 4*t[59] + (107*t[60])/2 + 
       (273*t[61])/2 - (347*t[62])/4 + (271*t[63])/4 + (469*t[64])/4 - 
       5*t[65] - (191*t[66])/3 + 10*t[69] + 16*t[70] - 16*t[71] + 16*t[73] + 
       2*t[74] - 4*t[75] - 2*t[77] - 2*t[78] - 4*t[80] + t[81] - t[82] + 
       9*t[83] + 8*t[84] - (11*t[85])/2 + 40*t[86] + (143*t[87])/2 + 
       (31*t[88])/4 - (99*t[89])/4 - 4*t[95] - 56*t[99] - 20*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-59*t[2])/2 - (101*t[3])/2 - 32*t[4] - 59*t[5] - (97*t[6])/4 + 
       (109*t[7])/2 - (169*t[8])/2 + 18*t[9] + 20*t[10] - (19*t[11])/4 + 
       9*t[12] - (859*t[13])/36 + (151*t[14])/3 - (1145*t[15])/36 - 6*t[22] + 
       4*t[28] - 24*t[29] - 6*t[30] - 5*t[32] + 32*t[33] - 4*t[35] + 
       6*t[37] + 3*t[41] - 3*t[42] + t[43] + 68*t[44] + 6*t[47] - 
       (97*t[48])/4 - (15*t[49])/2 + (127*t[50])/4 + (15*t[51])/4 - 
       (127*t[52])/4 + (15*t[53])/2 + (41*t[54])/4 + 4*t[59] + 
       (107*t[60])/2 + (273*t[61])/2 - (347*t[62])/4 + (271*t[63])/4 + 
       (469*t[64])/4 - 5*t[65] - (191*t[66])/3 + 10*t[69] + 16*t[70] - 
       16*t[71] + 16*t[73] + 2*t[74] - 4*t[75] - 2*t[77] - 2*t[78] - 
       4*t[80] + t[81] - t[82] + 9*t[83] + 8*t[84] - (11*t[85])/2 + 
       40*t[86] + (143*t[87])/2 + (31*t[88])/4 - (99*t[89])/4 - 4*t[95] - 
       56*t[99] - 20*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*Omega2[w, u, v]*
      (-t[1] - (3*t[2])/2 - (3*t[3])/2 + 10*t[4] - (9*t[5])/2 + 10*t[6] - 
       3*t[8] + 2*t[9] - (27*t[10])/2 + (11*t[11])/2 - t[12]/2 + 
       (547*t[13])/36 - (17*t[14])/6 - (9*t[15])/4 + 4*t[25] - 2*t[26] - 
       4*t[27] - 2*t[35] + 10*t[36] - 2*t[38] + 2*t[40] - 4*t[45] - t[46] + 
       8*t[47] + (3*t[48])/2 + t[49]/2 + (5*t[50])/2 + 5*t[51] - 
       (5*t[52])/2 - t[53]/2 - (5*t[54])/2 + 2*t[59] - 5*t[60] + 21*t[61] - 
       (5*t[62])/2 + (33*t[63])/2 - 27*t[64] - (13*t[65])/6 - (71*t[66])/2 - 
       8*t[74] - 2*t[77] - 2*t[78] + 8*t[80] + 5*t[81] - 7*t[82] + t[83] - 
       (3*t[84])/2 - 4*t[85] + 4*t[86] + 11*t[87] + (11*t[88])/2 - 9*t[89] - 
       12*t[99] - 18*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (2*t[2] - (15*t[3])/2 - 7*t[4] + t[5]/2 - t[6]/2 + 4*t[7] - 24*t[8] - 
       10*t[9] - (13*t[10])/2 + (11*t[11])/2 + (29*t[12])/2 + (100*t[13])/9 - 
       (9*t[15])/4 - 2*t[24] + 2*t[28] + 2*t[32] + 4*t[33] - 2*t[36] + 
       t[41] - t[42] + 2*t[43] + 4*t[44] + t[46] + 2*t[47] - 6*t[48] - 
       (3*t[49])/2 + 6*t[50] + (3*t[51])/2 - 6*t[52] + (3*t[53])/2 - 
       2*t[54] + 2*t[59] - 5*t[60] + 21*t[61] - (5*t[62])/2 + (33*t[63])/2 - 
       27*t[64] - (13*t[65])/6 - (71*t[66])/2 - 8*t[74] - 2*t[77] - 2*t[78] + 
       8*t[80] + 5*t[81] - 7*t[82] + t[83] - (3*t[84])/2 - 4*t[85] + 
       4*t[86] + 11*t[87] + (11*t[88])/2 - 9*t[89] - 12*t[99] - 18*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      ((5*t[1])/12 + (35*t[2])/48 - (115*t[3])/24 - (509*t[4])/48 + 
       (29*t[5])/48 + (2*t[6])/3 - (193*t[7])/48 - (485*t[8])/48 + 
       (67*t[9])/12 + (515*t[10])/96 + (151*t[11])/48 + (447*t[12])/32 + 
       (4651*t[13])/432 - (347*t[14])/192 + (2267*t[15])/288 + t[20]/3 - 
       (4*t[24])/3 + (3*t[25])/2 - t[26]/2 + (3*t[27])/2 + (8*t[28])/3 + 
       t[29]/4 - t[30]/12 + t[31] + t[33]/3 - (13*t[35])/6 + t[36]/2 - 
       t[37]/2 - t[38] + 2*t[39] - (3*t[40])/2 + (8*t[43])/3 + t[44] + 
       (5*t[45])/2 + (3*t[46])/4 - (17*t[47])/3 + (8*t[48])/3 - 
       (857*t[49])/96 - (13*t[50])/3 + (365*t[51])/192 + (13*t[52])/3 + 
       (857*t[53])/96 + (103*t[54])/16 + (5*t[59])/4 + (243*t[60])/16 + 
       (997*t[61])/48 + (3859*t[62])/96 - (629*t[63])/32 - (1055*t[64])/32 + 
       (325*t[65])/18 - (181*t[66])/36 + (13*t[73])/4 + (5*t[74])/4 + 
       (35*t[75])/12 + (3*t[77])/2 + (3*t[78])/2 + (109*t[79])/12 - 
       (5*t[80])/2 + (41*t[81])/24 - (5*t[82])/24 - (205*t[83])/12 + 
       (35*t[84])/6 + (35*t[85])/48 - (457*t[86])/12 - (611*t[87])/48 - 
       (611*t[88])/96 + (179*t[89])/32 - (13*t[99])/3 - (38*t[100])/3)*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      ((-17*t[2])/4 - (25*t[3])/8 + (253*t[4])/24 + (83*t[5])/16 + 
       (1757*t[6])/96 - (1199*t[7])/48 + (1217*t[8])/48 - (201*t[9])/16 + 
       (89*t[10])/24 + (109*t[11])/96 + (61*t[12])/48 + (4679*t[13])/432 + 
       (7*t[14])/8 + (227*t[15])/96 + (4*t[19])/3 + t[24]/2 - t[25]/3 + 
       t[26]/3 + (5*t[28])/2 + t[29] - t[31] - (3*t[32])/2 + 2*t[33] - 
       4*t[35] - (3*t[36])/2 + t[37]/3 + (3*t[41])/4 - (3*t[42])/4 - 
       (3*t[43])/2 - 3*t[44] - (4*t[45])/3 + t[46]/6 + (11*t[47])/6 + 
       (331*t[48])/32 - (5*t[49])/16 - (895*t[50])/96 - (23*t[51])/96 + 
       (895*t[52])/96 + (5*t[53])/16 + (923*t[54])/96 + (5*t[59])/4 + 
       (243*t[60])/16 + (997*t[61])/48 + (3859*t[62])/96 - (629*t[63])/32 - 
       (1055*t[64])/32 + (325*t[65])/18 - (181*t[66])/36 + (13*t[73])/4 + 
       (5*t[74])/4 + (35*t[75])/12 + (3*t[77])/2 + (3*t[78])/2 + 
       (109*t[79])/12 - (5*t[80])/2 + (41*t[81])/24 - (5*t[82])/24 - 
       (205*t[83])/12 + (35*t[84])/6 + (35*t[85])/48 - (457*t[86])/12 - 
       (611*t[87])/48 - (611*t[88])/96 + (179*t[89])/32 - (13*t[99])/3 - 
       (38*t[100])/3)*\[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
      ((2*t[1])/3 - (23*t[2])/24 + (5*t[3])/6 + (11*t[4])/2 + (361*t[5])/24 - 
       (5831*t[6])/192 + (1151*t[7])/48 - (4595*t[8])/48 - (287*t[9])/32 - 
       (3*t[10])/8 + (2741*t[11])/64 + (33*t[12])/16 + (3371*t[13])/432 - 
       (301*t[14])/64 + (9977*t[15])/1728 + (2*t[27])/3 + (9*t[28])/2 - 
       (317*t[29])/24 + (81*t[30])/4 + (2*t[31])/3 + (2*t[32])/3 - 
       (2*t[33])/3 - (2*t[34])/3 - t[35] + (3*t[36])/2 + t[38]/3 + 
       (23*t[39])/24 - t[40]/4 + t[41]/3 - t[42]/3 + t[43]/3 + 
       (445*t[44])/24 + t[46]/4 + (2*t[47])/3 - (1287*t[48])/64 + t[49]/3 + 
       (2819*t[50])/192 - (7*t[51])/48 - (2947*t[52])/192 + t[53] - 
       (2125*t[54])/64 + t[59]/3 + t[60]/32 + (3259*t[61])/96 - 
       (5785*t[62])/192 + (4969*t[63])/192 - (2417*t[64])/192 - 
       (10669*t[65])/288 - (11647*t[66])/288 - (4*t[72])/3 + (11*t[73])/2 + 
       (85*t[75])/6 + (25*t[76])/6 + (7*t[77])/6 - (19*t[78])/3 - 
       (35*t[79])/6 + (4*t[80])/3 - t[81]/12 - 2*t[82] - (31*t[83])/2 - 
       (1577*t[84])/96 - (1465*t[85])/96 - (17*t[86])/6 + (1127*t[87])/96 + 
       (1127*t[88])/192 - (5663*t[89])/192 + 2*t[96] + (4*t[97])/3 + 
       19*t[98] - 21*t[99] - (67*t[100])/6)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*((2*t[1])/3 - (41*t[2])/24 - 
       (5*t[3])/2 - (77*t[4])/96 + (121*t[5])/48 + (33*t[6])/8 - 
       (13*t[7])/24 + (67*t[8])/8 - (143*t[9])/48 + (2233*t[10])/192 - 
       (49*t[11])/24 - (349*t[12])/64 - (13937*t[13])/864 + 
       (32791*t[14])/1152 - (517*t[15])/64 - (2*t[27])/3 + t[28]/3 + 
       (2*t[29])/3 - (2*t[30])/3 + (2*t[31])/3 - (2*t[34])/3 + t[35] - 
       3*t[36] + t[38]/3 + t[39]/2 + t[41]/3 - t[42]/3 + t[43]/3 - t[44]/6 - 
       t[46]/4 + (11*t[48])/3 + (441*t[49])/64 - (16*t[50])/3 - 
       (517*t[51])/128 + (14*t[52])/3 - (1067*t[53])/192 + (1313*t[54])/96 + 
       t[59]/3 + t[60]/32 + (3259*t[61])/96 - (5785*t[62])/192 + 
       (4969*t[63])/192 - (2417*t[64])/192 - (10669*t[65])/288 - 
       (11647*t[66])/288 - (4*t[72])/3 + (11*t[73])/2 + (85*t[75])/6 + 
       (25*t[76])/6 + (7*t[77])/6 - (19*t[78])/3 - (35*t[79])/6 + 
       (4*t[80])/3 - t[81]/12 - 2*t[82] - (31*t[83])/2 - (1577*t[84])/96 - 
       (1465*t[85])/96 - (17*t[86])/6 + (1127*t[87])/96 + (1127*t[88])/192 - 
       (5663*t[89])/192 + 2*t[96] + (4*t[97])/3 + 19*t[98] - 21*t[99] - 
       (67*t[100])/6)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((10*t[1])/3 + (5*t[2])/6 - (113*t[3])/6 + (85*t[4])/2 + (41*t[5])/12 + 
       (1781*t[6])/48 + (293*t[7])/12 + (317*t[8])/4 - (107*t[9])/24 + 
       (323*t[10])/12 + (1699*t[11])/48 - (103*t[12])/12 + (595*t[13])/108 + 
       (4793*t[14])/144 + (10435*t[15])/432 + (10*t[27])/3 + 10*t[28] + 
       (53*t[29])/6 + 7*t[30] - (8*t[31])/3 + (10*t[32])/3 - (10*t[33])/3 - 
       (10*t[34])/3 - 20*t[35] + 8*t[37] + (5*t[38])/3 + (37*t[39])/6 - 
       2*t[40] + (5*t[41])/3 - (5*t[42])/3 + (8*t[43])/3 - (121*t[44])/6 + 
       2*t[46] + (10*t[47])/3 + (109*t[48])/16 + (65*t[49])/12 - 
       (545*t[50])/48 - (37*t[51])/24 + (385*t[52])/48 + (5*t[53])/4 + 
       (103*t[54])/16 + (17*t[59])/3 + (185*t[60])/8 + (1281*t[61])/8 - 
       (1037*t[62])/48 + (637*t[63])/48 - (1321*t[64])/48 - (709*t[65])/72 - 
       (1079*t[66])/72 + 8*t[69] - (2*t[72])/3 + 14*t[73] + 6*t[75] + 
       (70*t[76])/3 + (40*t[77])/3 - (110*t[78])/3 - 24*t[79] - 
       (28*t[80])/3 + (22*t[81])/3 - 15*t[82] - 24*t[83] - (445*t[84])/24 - 
       (761*t[85])/24 - (232*t[86])/3 - (257*t[87])/24 - (257*t[88])/48 + 
       (1609*t[89])/48 + 10*t[96] + (20*t[97])/3 + 140*t[98] - 148*t[99] - 
       11*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*
      ((15*t[1])/2 + 3*t[2] + (19*t[3])/3 - (149*t[4])/12 + (601*t[5])/24 - 
       (125*t[6])/4 - t[7]/2 + (31*t[8])/3 - (189*t[9])/8 - (233*t[10])/6 - 
       (55*t[11])/12 - (209*t[12])/8 - (863*t[13])/36 - (449*t[14])/48 + 
       (221*t[15])/48 - (20*t[25])/3 - t[26]/3 + 8*t[27] - 6*t[31] + 
       6*t[35] - 17*t[36] + t[37] + 7*t[38] + 5*t[40] - (13*t[43])/4 - 
       (15*t[45])/2 - (17*t[46])/3 + 15*t[47] + (33*t[48])/4 + 
       (151*t[49])/12 + (83*t[50])/12 + (71*t[51])/48 - (83*t[52])/12 - 
       (157*t[53])/12 + (9*t[54])/2 - 3*t[59] - (161*t[60])/6 - 
       (165*t[61])/4 + (1303*t[62])/24 + (953*t[63])/24 + (83*t[64])/24 + 
       (73*t[65])/4 + (1369*t[66])/12 - t[69] + 8*t[72] - 21*t[73] + 
       16*t[74] + 23*t[75] - 5*t[77] - t[78] + t[79] + 2*t[80] - 18*t[81] + 
       22*t[82] + (133*t[83])/6 - (53*t[84])/4 - (319*t[85])/12 + 
       (31*t[86])/3 + (245*t[87])/12 + (197*t[88])/24 - (13*t[89])/12 + 
       2*t[95] + 12*t[99] - (13*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*((99*t[2])/2 + (1021*t[3])/24 - 
       (221*t[4])/6 + (1211*t[5])/24 - (23*t[6])/12 - (13*t[7])/4 + 
       (1307*t[8])/12 - (181*t[9])/24 - (41*t[10])/6 - (115*t[11])/3 - 
       (553*t[12])/24 - (1369*t[13])/72 + (19*t[14])/8 + (937*t[15])/72 - 
       (22*t[20])/3 + 3*t[22] + 4*t[24] - (20*t[28])/3 - (7*t[29])/2 + 
       (37*t[30])/3 - t[32]/2 - (16*t[33])/3 - 2*t[34] - 10*t[35] + 
       16*t[36] - t[37] - t[41]/2 + t[42]/2 + (15*t[43])/4 - (197*t[44])/12 + 
       (13*t[45])/2 - 2*t[46] - 14*t[47] + (13*t[48])/6 - (34*t[49])/3 - 
       (41*t[50])/6 + (25*t[51])/6 + (41*t[52])/6 + (34*t[53])/3 + 
       (51*t[54])/4 - 3*t[59] - (161*t[60])/6 - (165*t[61])/4 + 
       (1303*t[62])/24 + (953*t[63])/24 + (83*t[64])/24 + (73*t[65])/4 + 
       (1369*t[66])/12 - t[69] + 8*t[72] - 21*t[73] + 16*t[74] + 23*t[75] - 
       5*t[77] - t[78] + t[79] + 2*t[80] - 18*t[81] + 22*t[82] + 
       (133*t[83])/6 - (53*t[84])/4 - (319*t[85])/12 + (31*t[86])/3 + 
       (245*t[87])/12 + (197*t[88])/24 - (13*t[89])/12 + 2*t[95] + 12*t[99] - 
       (13*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(12*t[2] - (2*t[3])/3 - (41*t[4])/4 + 
       (835*t[5])/48 - (31*t[6])/12 + (53*t[7])/24 - (499*t[8])/24 - 
       (173*t[9])/16 - (17*t[10])/6 - (275*t[11])/24 + (191*t[12])/48 + 
       (163*t[13])/24 - (37*t[14])/36 - (1817*t[15])/288 - (37*t[28])/6 - 
       (10*t[29])/3 + (10*t[30])/3 + 2*t[32] + 2*t[33] - t[35] + 4*t[36] + 
       t[43] + (23*t[44])/6 + 2*t[47] - 6*t[48] - (11*t[49])/8 + 
       (13*t[50])/3 + (11*t[51])/16 - (13*t[52])/3 + (11*t[53])/8 - 
       (31*t[54])/12 - (44*t[60])/3 - (115*t[61])/12 + (245*t[62])/12 + 
       (81*t[63])/4 - (449*t[64])/24 - (283*t[65])/36 - (167*t[66])/12 - 
       (5*t[73])/2 - 4*t[74] - (5*t[75])/2 - 2*t[77] + (9*t[79])/2 + 
       4*t[80] + (9*t[81])/2 - (9*t[82])/2 + (7*t[83])/6 - (53*t[84])/12 - 
       (25*t[85])/6 - (109*t[86])/6 + (25*t[87])/2 + (25*t[88])/4 - 
       (49*t[89])/24 - 7*t[99] - 4*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((9*t[3])/4 + (23*t[4])/6 + (367*t[5])/48 - t[6]/2 - (187*t[7])/24 - 
       (199*t[8])/24 - (499*t[9])/48 - (145*t[10])/24 - (25*t[11])/8 - 
       (161*t[12])/16 + (191*t[13])/72 + (145*t[14])/144 - (337*t[15])/288 + 
       2*t[28] + t[31] - t[35] + (17*t[36])/2 + 2*t[39] + 2*t[40] - 2*t[45] + 
       (9*t[46])/2 + 4*t[47] + (10*t[49])/3 + (5*t[50])/2 - (3*t[51])/4 - 
       (5*t[52])/2 - (10*t[53])/3 - (5*t[54])/6 - (44*t[60])/3 - 
       (115*t[61])/12 + (245*t[62])/12 + (81*t[63])/4 - (449*t[64])/24 - 
       (283*t[65])/36 - (167*t[66])/12 - (5*t[73])/2 - 4*t[74] - 
       (5*t[75])/2 - 2*t[77] + (9*t[79])/2 + 4*t[80] + (9*t[81])/2 - 
       (9*t[82])/2 + (7*t[83])/6 - (53*t[84])/12 - (25*t[85])/6 - 
       (109*t[86])/6 + (25*t[87])/2 + (25*t[88])/4 - (49*t[89])/24 - 
       7*t[99] - 4*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
      (t[2]/12 + (11*t[3])/12 - (55*t[5])/48 - (5*t[6])/12 + (37*t[7])/24 + 
       (49*t[8])/24 - (3*t[9])/16 - (25*t[10])/24 + (17*t[11])/24 + 
       (43*t[12])/48 - (7*t[13])/36 - (29*t[14])/144 - (55*t[15])/288 - 
       (11*t[28])/6 - t[29]/6 + (2*t[30])/3 + 2*t[35] + (2*t[44])/3 - 
       (3*t[48])/4 + (5*t[50])/12 - (5*t[52])/12 - (5*t[54])/12 - t[59]/4 - 
       (5*t[60])/6 + (7*t[61])/12 - (19*t[62])/8 + (27*t[63])/8 + 
       (65*t[64])/24 + (25*t[65])/36 + (5*t[66])/12 - t[73]/2 - t[74] - 
       (5*t[75])/2 - t[79]/2 + (17*t[83])/6 - t[84]/3 - t[85]/3 + 
       (25*t[86])/6 + t[87] + t[88]/2 - (17*t[89])/24 - 2*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      ((-5*t[4])/6 - (7*t[5])/48 + (25*t[7])/24 + (25*t[8])/24 + 
       (7*t[9])/48 - (35*t[10])/24 - (11*t[11])/8 + t[12]/16 - (2*t[13])/9 + 
       (41*t[14])/144 - (47*t[15])/288 + t[36]/2 - t[46]/2 - t[49]/12 + 
       t[51]/8 + t[53]/12 + t[54]/3 - t[59]/4 - (5*t[60])/6 + (7*t[61])/12 - 
       (19*t[62])/8 + (27*t[63])/8 + (65*t[64])/24 + (25*t[65])/36 + 
       (5*t[66])/12 - t[73]/2 - t[74] - (5*t[75])/2 - t[79]/2 + 
       (17*t[83])/6 - t[84]/3 - t[85]/3 + (25*t[86])/6 + t[87] + t[88]/2 - 
       (17*t[89])/24 - 2*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - w]*(-t[3]/3 + (5*t[5])/48 - (5*t[6])/12 + (7*t[7])/24 - 
       (17*t[8])/24 - (11*t[9])/16 + (5*t[10])/24 + (5*t[11])/24 - 
       (5*t[12])/48 - t[13]/9 + (31*t[14])/144 + (101*t[15])/288 - 
       (5*t[28])/6 - (2*t[29])/3 + (2*t[30])/3 + (7*t[44])/6 - (3*t[48])/4 + 
       (5*t[50])/12 - (5*t[52])/12 - (5*t[54])/12 - (5*t[60])/6 + 
       (13*t[61])/12 - t[62]/24 + (27*t[63])/8 - (13*t[64])/24 - 
       (35*t[65])/36 + (13*t[66])/12 - t[73]/2 - (5*t[75])/2 + t[79]/2 + 
       (17*t[83])/6 - t[84]/3 - t[85]/3 - (5*t[86])/6 + (3*t[87])/2 + 
       (3*t[88])/4 - (5*t[89])/24 - t[100]/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*((-5*t[4])/6 + (5*t[5])/48 - 
       (5*t[7])/24 - (5*t[8])/24 - (5*t[9])/48 + (7*t[10])/24 - (7*t[11])/8 - 
       (11*t[12])/16 - (13*t[13])/18 + (107*t[14])/144 - (35*t[15])/288 + 
       t[36]/2 - t[49]/12 - t[51]/4 + t[53]/12 + t[54]/3 - (5*t[60])/6 + 
       (13*t[61])/12 - t[62]/24 + (27*t[63])/8 - (13*t[64])/24 - 
       (35*t[65])/36 + (13*t[66])/12 - t[73]/2 - (5*t[75])/2 + t[79]/2 + 
       (17*t[83])/6 - t[84]/3 - t[85]/3 - (5*t[86])/6 + (3*t[87])/2 + 
       (3*t[88])/4 - (5*t[89])/24 - t[100]/2)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*((-4*t[1])/3 + (3*t[2])/8 - 
       (7*t[3])/6 + (15*t[4])/4 - (7*t[5])/24 + (61*t[6])/24 - (5*t[7])/8 + 
       (13*t[8])/8 - 2*t[9] - (17*t[10])/12 + (55*t[11])/24 - (23*t[12])/24 + 
       (143*t[13])/36 + (341*t[14])/144 + (91*t[15])/72 + t[31]/6 + t[36]/2 + 
       t[43]/12 + (3*t[48])/8 + (17*t[49])/24 - (11*t[50])/24 - 
       (3*t[51])/16 + (11*t[52])/24 - (17*t[53])/24 + (5*t[54])/24 + 
       (5*t[60])/4 + (23*t[61])/3 + (85*t[62])/24 - (113*t[63])/24 + 
       (247*t[64])/24 - (77*t[65])/8 - (259*t[66])/36 - (4*t[69])/3 + 
       (5*t[70])/6 - (5*t[71])/6 + t[72]/2 + t[73] + t[75]/2 - (13*t[79])/6 - 
       (5*t[80])/12 - (5*t[82])/6 - (67*t[83])/24 - (5*t[84])/12 + 
       (5*t[85])/12 - (28*t[86])/3 + 2*t[87] + t[88] + (43*t[89])/12 + 
       t[99]/6 - t[100]/3)*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      ((2*t[2])/3 - (77*t[3])/48 + (65*t[4])/24 + (11*t[5])/16 + 
       (53*t[6])/24 - (7*t[7])/4 - (13*t[8])/12 - (125*t[9])/48 + 
       (67*t[10])/48 + (35*t[11])/16 - (23*t[12])/24 + (2297*t[13])/864 - 
       (179*t[14])/288 - (133*t[15])/144 - t[18]/12 + (2*t[31])/3 - 2*t[35] + 
       t[36]/2 + (5*t[37])/12 + (5*t[41])/24 - (5*t[42])/24 + t[43]/3 + 
       t[47]/2 + (77*t[48])/48 - (19*t[49])/48 - (31*t[50])/16 + 
       (35*t[51])/96 + (31*t[52])/16 + (19*t[53])/48 + (67*t[54])/48 + 
       (5*t[60])/4 + (23*t[61])/3 + (85*t[62])/24 - (113*t[63])/24 + 
       (247*t[64])/24 - (77*t[65])/8 - (259*t[66])/36 - (4*t[69])/3 + 
       (5*t[70])/6 - (5*t[71])/6 + t[72]/2 + t[73] + t[75]/2 - (13*t[79])/6 - 
       (5*t[80])/12 - (5*t[82])/6 - (67*t[83])/24 - (5*t[84])/12 + 
       (5*t[85])/12 - (28*t[86])/3 + 2*t[87] + t[88] + (43*t[89])/12 + 
       t[99]/6 - t[100]/3)*\[Zeta][2] + HPL[{1}, 1 - v]^5*
      (t[3]/24 - t[4]/12 + (5*t[5])/24 + t[6]/32 - (3*t[7])/16 - 
       (13*t[8])/48 - t[9]/4 - (23*t[10])/48 + (23*t[11])/96 + (9*t[12])/16 + 
       (25*t[13])/72 - (97*t[14])/96 + (7*t[15])/24 - t[25]/12 + t[26]/12 + 
       t[46]/6 + t[48]/32 - t[49]/3 + (11*t[50])/96 + (5*t[51])/24 - 
       (11*t[52])/96 + t[53]/3 - (9*t[54])/32 - t[59]/60 + (37*t[60])/48 - 
       (25*t[61])/16 + (137*t[62])/96 - (125*t[63])/96 - (29*t[64])/96 + 
       (11*t[65])/24 + (17*t[66])/12 + t[73]/4 - t[74]/4 + (5*t[75])/4 - 
       t[79]/4 - t[81]/8 + t[82]/8 - (5*t[83])/3 + t[84]/8 + t[85]/48 - 
       (7*t[86])/12 - (41*t[87])/48 - (41*t[88])/96 + (41*t[89])/96 + 
       t[100]/4)*\[Zeta][2] + HPL[{1}, 1 - w]^5*((-17*t[2])/48 + (5*t[3])/6 - 
       (11*t[4])/48 + (5*t[5])/48 + (19*t[6])/24 - (15*t[7])/16 + 
       (79*t[8])/48 - (23*t[9])/24 - (7*t[10])/96 - (47*t[11])/48 + 
       (7*t[12])/96 - (29*t[13])/144 - (89*t[14])/192 - (13*t[15])/96 + 
       t[20]/3 + (2*t[28])/3 + t[29]/4 - t[30]/3 + t[33]/3 + t[35]/2 - 
       t[44]/3 + (5*t[48])/6 - (7*t[49])/96 - (2*t[50])/3 + (7*t[51])/192 + 
       (2*t[52])/3 + (7*t[53])/96 + (13*t[54])/16 - t[59]/60 + 
       (37*t[60])/48 - (25*t[61])/16 + (137*t[62])/96 - (125*t[63])/96 - 
       (29*t[64])/96 + (11*t[65])/24 + (17*t[66])/12 + t[73]/4 - t[74]/4 + 
       (5*t[75])/4 - t[79]/4 - t[81]/8 + t[82]/8 - (5*t[83])/3 + t[84]/8 + 
       t[85]/48 - (7*t[86])/12 - (41*t[87])/48 - (41*t[88])/96 + 
       (41*t[89])/96 + t[100]/4)*\[Zeta][2] + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^2*(t[3]/6 - t[4]/12 + (13*t[5])/48 - (5*t[6])/32 - 
       t[7]/16 - (19*t[8])/48 - (7*t[9])/16 - (11*t[10])/48 - (7*t[11])/96 + 
       (5*t[12])/8 + (11*t[13])/144 - (133*t[14])/96 + (17*t[15])/96 - 
       t[25]/3 + t[26]/3 + t[46]/6 - (5*t[48])/32 - (11*t[49])/24 + 
       (17*t[50])/96 + (5*t[51])/24 - (17*t[52])/96 + (11*t[53])/24 - 
       (11*t[54])/32 - (5*t[60])/48 - (43*t[61])/16 + (95*t[62])/96 - 
       (107*t[63])/96 + (61*t[64])/96 + (7*t[65])/12 + (49*t[66])/24 + 
       t[73]/4 - t[74]/4 + (5*t[75])/4 - t[79]/4 - t[81]/8 + t[82]/8 - 
       (7*t[83])/6 + (7*t[85])/48 + (5*t[86])/12 - (11*t[87])/48 - 
       (11*t[88])/96 + (47*t[89])/96 + t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*((-3*t[2])/16 + (5*t[3])/6 - 
       (17*t[4])/48 + t[5]/24 + (5*t[6])/12 - (9*t[7])/16 + (61*t[8])/48 - 
       (37*t[9])/48 - t[10]/96 - (59*t[11])/48 + (7*t[12])/96 - 
       (77*t[13])/144 - (57*t[14])/64 - (25*t[15])/24 + t[20]/12 + t[28]/6 + 
       t[29]/4 - t[30]/3 + t[33]/12 + t[35]/2 - t[44]/12 + (17*t[48])/24 - 
       t[49]/96 - (13*t[50])/24 + t[51]/192 + (13*t[52])/24 + t[53]/96 + 
       (9*t[54])/16 - (5*t[60])/48 - (43*t[61])/16 + (95*t[62])/96 - 
       (107*t[63])/96 + (61*t[64])/96 + (7*t[65])/12 + (49*t[66])/24 + 
       t[73]/4 - t[74]/4 + (5*t[75])/4 - t[79]/4 - t[81]/8 + t[82]/8 - 
       (7*t[83])/6 + (7*t[85])/48 + (5*t[86])/12 - (11*t[87])/48 - 
       (11*t[88])/96 + (47*t[89])/96 + t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*((3*t[1])/2 - (23*t[2])/24 + 
       (11*t[3])/8 + (14*t[4])/3 + (121*t[5])/12 + (559*t[6])/192 - 
       (41*t[7])/24 - (17*t[8])/2 - (1565*t[9])/96 + (143*t[10])/16 + 
       (1037*t[11])/192 - (103*t[12])/12 - (2435*t[13])/432 - 
       (2351*t[14])/576 + (7769*t[15])/1728 - (11*t[25])/4 + (7*t[26])/4 + 
       (2*t[27])/3 + (5*t[28])/2 + (19*t[29])/24 + (5*t[30])/4 + 
       (7*t[31])/6 + (2*t[32])/3 - (2*t[33])/3 - (2*t[34])/3 - 2*t[35] - 
       (9*t[36])/2 - t[37] + (5*t[38])/3 + (59*t[39])/24 - (3*t[40])/4 + 
       t[41]/3 - t[42]/3 + t[43]/12 - (35*t[44])/24 + t[45] + (11*t[46])/4 - 
       (4*t[47])/3 + (27*t[48])/64 + (59*t[49])/8 + (403*t[50])/64 - 
       t[51]/6 - (1337*t[52])/192 - (145*t[53])/24 - (1709*t[54])/192 - 
       (13*t[59])/6 - (521*t[60])/32 - (563*t[61])/96 - (717*t[62])/64 - 
       (1361*t[63])/192 + (1919*t[64])/64 - (5729*t[65])/288 + 
       (731*t[66])/96 - (7*t[69])/3 - t[70]/3 + t[71]/3 - (5*t[72])/6 + 
       (11*t[73])/4 + (73*t[74])/12 + (73*t[75])/12 + (25*t[76])/6 + 
       (13*t[77])/6 - 4*t[78] - (5*t[79])/12 + (5*t[80])/3 - (3*t[81])/8 - 
       (29*t[82])/24 - (47*t[83])/6 - (541*t[84])/96 - (799*t[85])/96 - 
       (209*t[86])/12 + (47*t[87])/32 + (47*t[88])/64 + (91*t[89])/192 + 
       2*t[96] + (4*t[97])/3 + 19*t[98] - 16*t[99] + (11*t[100])/4)*
      \[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((2*t[1])/3 + (473*t[2])/48 - (17*t[3])/3 - (345*t[4])/32 + 
       (205*t[5])/24 - (97*t[6])/24 - (113*t[7])/16 - (955*t[8])/48 + 
       (155*t[9])/48 + (1153*t[10])/64 - (1003*t[11])/48 - (65*t[12])/192 - 
       (8803*t[13])/864 + (3401*t[14])/1152 - (475*t[15])/576 + t[18]/3 + 
       (2*t[20])/3 + t[22] - t[27]/6 + (5*t[28])/3 + (11*t[29])/4 - 
       (17*t[30])/6 + (2*t[31])/3 - t[32] - (4*t[33])/3 - (2*t[34])/3 - 
       (7*t[35])/6 + 2*t[36] - (2*t[37])/3 + t[38]/3 + t[39] - t[43]/6 - 
       (10*t[44])/3 - t[46]/4 + (2*t[47])/3 + (13*t[48])/8 + (85*t[49])/192 - 
       (65*t[50])/24 - (25*t[51])/384 + (49*t[52])/24 + (57*t[53])/64 + 
       (523*t[54])/96 - (13*t[59])/6 - (521*t[60])/32 - (563*t[61])/96 - 
       (717*t[62])/64 - (1361*t[63])/192 + (1919*t[64])/64 - 
       (5729*t[65])/288 + (731*t[66])/96 - (7*t[69])/3 - t[70]/3 + t[71]/3 - 
       (5*t[72])/6 + (11*t[73])/4 + (73*t[74])/12 + (73*t[75])/12 + 
       (25*t[76])/6 + (13*t[77])/6 - 4*t[78] - (5*t[79])/12 + (5*t[80])/3 - 
       (3*t[81])/8 - (29*t[82])/24 - (47*t[83])/6 - (541*t[84])/96 - 
       (799*t[85])/96 - (209*t[86])/12 + (47*t[87])/32 + (47*t[88])/64 + 
       (91*t[89])/192 + 2*t[96] + (4*t[97])/3 + 19*t[98] - 16*t[99] + 
       (11*t[100])/4)*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(t[1]/2 + (1627*t[2])/24 - (2395*t[3])/24 - 
       (74*t[4])/3 - (255*t[5])/8 + (11773*t[6])/192 + (811*t[7])/16 + 
       (5123*t[8])/48 + (3569*t[9])/32 - (407*t[10])/24 + (5315*t[11])/192 + 
       (631*t[12])/16 + (217*t[13])/54 + (42275*t[14])/576 + 
       (35311*t[15])/576 - 2*t[20] - 4*t[21] + (8*t[23])/3 + 3*t[24] + 
       10*t[26] + (3*t[27])/2 + (67*t[28])/6 - (89*t[29])/24 - 
       (143*t[30])/12 - (58*t[31])/3 + (37*t[32])/2 - (25*t[33])/2 - 
       (101*t[34])/6 - 27*t[35] + (39*t[36])/2 - (34*t[37])/3 - 
       (83*t[38])/12 + (169*t[39])/24 - (25*t[40])/12 - (41*t[41])/12 + 
       (41*t[42])/12 + (181*t[43])/24 - (179*t[44])/8 - (7*t[45])/3 + 
       (27*t[46])/4 + (137*t[47])/6 + (8959*t[48])/192 - (335*t[49])/24 + 
       (2605*t[50])/64 + (37*t[51])/12 - (1165*t[52])/64 + (319*t[53])/24 + 
       (2471*t[54])/64 + 2*t[57] + 4*t[58] + (23*t[59])/4 - (2345*t[60])/96 + 
       (9383*t[61])/96 - (20645*t[62])/192 - (40843*t[63])/192 + 
       (3945*t[64])/64 + (20159*t[65])/288 - (54139*t[66])/288 - 4*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 - (41*t[72])/6 + (19*t[73])/2 - 
       (8*t[74])/3 + (15*t[75])/2 - (61*t[76])/6 - (20*t[77])/3 + 
       (19*t[78])/6 - (35*t[79])/2 + (212*t[80])/3 + (313*t[81])/12 - 
       81*t[82] - (99*t[83])/2 + (4819*t[84])/96 - (3133*t[85])/96 + 
       (146*t[86])/3 + (1931*t[87])/96 + (1689*t[88])/64 + 
       (13949*t[89])/192 + (4*t[95])/3 + (11*t[96])/6 - t[97] - 153*t[98] + 
       201*t[99] + 3*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*(t[1]/4 + (3*t[2])/8 + (193*t[3])/24 - (19*t[4])/4 - 
       t[5]/12 - (32*t[6])/3 + (163*t[7])/6 - (511*t[8])/12 + (89*t[9])/8 + 
       (221*t[10])/24 + (269*t[11])/24 + (43*t[12])/12 - (53*t[13])/24 + 
       (11*t[14])/18 + (157*t[15])/72 - t[25] + t[26]/2 + t[27] - 
       (22*t[28])/3 - (5*t[29])/3 + (8*t[30])/3 + 2*t[31] + 3*t[32] - 
       3*t[33] + 3*t[35] - t[36] + t[38]/2 + 2*t[39] - (5*t[40])/2 + 
       t[43]/2 + (35*t[44])/3 + 3*t[45] + (13*t[46])/4 - 6*t[47] - 14*t[48] - 
       (23*t[49])/8 + (32*t[50])/3 - (5*t[51])/8 - (32*t[52])/3 + 
       (23*t[53])/8 - (67*t[54])/6 - t[59]/2 + (433*t[60])/24 + 
       (61*t[61])/3 + (197*t[62])/24 - (61*t[63])/8 - (131*t[64])/3 - 
       (1975*t[65])/72 + (107*t[66])/12 - 14*t[73] + 7*t[74] - (13*t[75])/2 - 
       2*t[76] + (3*t[77])/2 + (11*t[78])/2 - (3*t[79])/4 - 8*t[80] - 
       (5*t[81])/4 + (7*t[82])/4 + (40*t[83])/3 + (103*t[84])/24 + 
       (65*t[85])/12 - (157*t[86])/12 - (35*t[87])/2 - (35*t[88])/4 - 
       (91*t[89])/12 - 12*t[98] + 15*t[99] + (7*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (-t[2]/2 - (95*t[3])/8 + (143*t[4])/12 - (163*t[5])/12 + (17*t[6])/2 - 
       (145*t[7])/12 + (221*t[8])/12 + (185*t[9])/24 + (397*t[10])/24 - 
       (41*t[11])/4 - (17*t[12])/2 - (685*t[13])/72 + (899*t[14])/36 + 
       (439*t[15])/72 + t[24]/2 - (7*t[28])/2 - 2*t[29] + t[31] - 
       (5*t[32])/2 + t[33] + t[35] - (9*t[36])/2 - 3*t[39] - t[40] - 
       t[41]/4 + t[42]/4 - (3*t[43])/2 - t[44] + 3*t[45] - (13*t[46])/4 - 
       (13*t[47])/2 + (31*t[48])/8 + (61*t[49])/24 - (69*t[50])/8 - 
       (45*t[51])/8 + (69*t[52])/8 - (61*t[53])/24 + (251*t[54])/24 - 
       t[59]/2 + (433*t[60])/24 + (61*t[61])/3 + (197*t[62])/24 - 
       (61*t[63])/8 - (131*t[64])/3 - (1975*t[65])/72 + (107*t[66])/12 - 
       14*t[73] + 7*t[74] - (13*t[75])/2 - 2*t[76] + (3*t[77])/2 + 
       (11*t[78])/2 - (3*t[79])/4 - 8*t[80] - (5*t[81])/4 + (7*t[82])/4 + 
       (40*t[83])/3 + (103*t[84])/24 + (65*t[85])/12 - (157*t[86])/12 - 
       (35*t[87])/2 - (35*t[88])/4 - (91*t[89])/12 - 12*t[98] + 15*t[99] + 
       (7*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((7*t[1])/6 - (49*t[2])/12 + 
       (131*t[3])/24 - (481*t[4])/24 + (158*t[5])/3 - (157*t[6])/24 + 
       (177*t[7])/2 - (23*t[8])/6 - (229*t[9])/4 + (203*t[10])/16 - 
       (161*t[11])/6 - (1655*t[12])/48 - (25807*t[13])/432 - 
       (11933*t[14])/288 + (1655*t[15])/108 + 4*t[20] - 2*t[22] + 4*t[24] - 
       2*t[25] + (8*t[27])/3 - (139*t[28])/6 + (35*t[29])/6 - (127*t[30])/6 + 
       (29*t[32])/3 - (23*t[33])/3 - (8*t[34])/3 + 22*t[35] - 13*t[36] + 
       6*t[37] + (13*t[38])/3 - (37*t[39])/6 + (13*t[40])/2 + (7*t[41])/3 - 
       (7*t[42])/3 + (25*t[43])/4 + (23*t[44])/2 + (3*t[45])/2 - 
       (7*t[46])/2 + (8*t[47])/3 - (77*t[48])/4 + (1171*t[49])/48 + 
       (52*t[50])/3 - (155*t[51])/96 - 22*t[52] - (241*t[53])/16 - 
       (19*t[54])/8 - (11*t[59])/3 - (1033*t[60])/24 + (269*t[61])/24 - 
       (4943*t[62])/48 + (1223*t[63])/48 + (8153*t[64])/48 - (493*t[65])/24 + 
       (12271*t[66])/72 + 8*t[69] - (16*t[72])/3 - (49*t[73])/2 + 2*t[74] - 
       (37*t[75])/2 + (26*t[76])/3 - (13*t[77])/3 - (178*t[78])/3 - 
       (71*t[79])/2 + (16*t[80])/3 - (64*t[81])/3 + (28*t[82])/3 + 
       (190*t[83])/3 - (77*t[84])/8 + (197*t[85])/24 + (287*t[86])/6 + 
       (207*t[87])/8 + (335*t[88])/16 + (559*t[89])/48 + 8*t[96] + 
       (16*t[97])/3 + 68*t[98] - 44*t[99] + 12*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*((5*t[1])/6 - (3*t[2])/4 - 
       (41*t[3])/24 - (25*t[4])/6 + (61*t[5])/48 + (101*t[6])/24 - 
       (33*t[7])/8 - (541*t[8])/24 - (75*t[9])/16 + (809*t[10])/24 - 
       (275*t[11])/24 - (259*t[12])/16 - (1255*t[13])/432 - 
       (1115*t[14])/144 + (207*t[15])/32 - 4*t[25] + 2*t[26] - 2*t[27] + 
       t[28] + (2*t[30])/3 + (16*t[31])/3 - (5*t[35])/3 - 5*t[36] - 7*t[37] + 
       (5*t[38])/3 + t[39] - 3*t[40] - (11*t[43])/12 + (15*t[45])/2 + 
       (8*t[46])/3 - 15*t[47] - (77*t[48])/12 - (13*t[49])/12 + 
       (79*t[50])/12 + (3*t[51])/8 - (79*t[52])/12 + (13*t[53])/12 - 
       (29*t[54])/4 - (13*t[59])/2 + 6*t[60] - (41*t[61])/3 + 
       (115*t[62])/12 - (17*t[63])/12 - (107*t[64])/4 - (665*t[65])/36 + 
       (1103*t[66])/36 - (22*t[69])/3 + (16*t[70])/3 - (16*t[71])/3 - 
       9*t[73] + (17*t[74])/3 + (52*t[75])/3 - 2*t[76] + 4*t[77] + 
       (13*t[78])/3 + t[79]/3 - (50*t[80])/3 - (4*t[82])/3 - (26*t[83])/3 - 
       (13*t[84])/6 - t[85]/6 - 31*t[86] - (79*t[87])/6 - (79*t[88])/12 + 
       (21*t[89])/4 - 12*t[98] + 17*t[99] + (77*t[100])/6)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (14*t[1] - 14*t[2] + (53*t[3])/2 + (31*t[4])/2 + (2083*t[5])/16 - 
       (613*t[6])/8 - (169*t[7])/2 - (151*t[8])/4 - (2245*t[9])/16 + 
       (327*t[10])/4 - (89*t[11])/4 - (1135*t[12])/16 - (181*t[13])/36 - 
       (243*t[14])/16 + (1279*t[15])/288 - 2*t[19] + 4*t[20] + 2*t[21] - 
       2*t[23] + 7*t[24] - 12*t[26] + 10*t[27] + 16*t[28] + (9*t[29])/2 + 
       4*t[30] + 26*t[31] - 4*t[32] + 7*t[33] - 20*t[34] + 50*t[35] + 
       16*t[36] - 10*t[37] + 17*t[38] + 7*t[39] + (45*t[40])/2 + 
       (93*t[43])/8 + (19*t[44])/4 + (45*t[45])/2 + 3*t[46] - 29*t[47] + 
       (85*t[48])/8 + (97*t[49])/2 - (663*t[50])/8 - (29*t[51])/2 + 
       (343*t[52])/8 - (57*t[53])/2 - (33*t[54])/8 + 2*t[57] - 4*t[58] - 
       10*t[59] + (79*t[60])/4 + (93*t[61])/2 - (619*t[62])/8 - 
       (609*t[63])/8 + 18*t[64] - (505*t[65])/6 + 4*t[66] + 2*t[69] - 
       10*t[72] + 16*t[73] - 2*t[74] + 6*t[75] + 66*t[76] + 12*t[77] - 
       86*t[78] - 18*t[79] + 41*t[80] - 2*t[81] - 24*t[83] - (279*t[84])/4 - 
       (45*t[85])/4 - (113*t[86])/2 - 42*t[87] - 21*t[88] + (579*t[89])/8 + 
       30*t[96] + 22*t[97] + 376*t[98] - 384*t[99] + 13*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*((29*t[2])/4 + (47*t[3])/3 - 
       (67*t[4])/12 - t[5]/6 + (17*t[6])/6 + (95*t[7])/4 + (293*t[8])/12 - 
       (407*t[9])/12 - (743*t[10])/24 + (35*t[11])/12 + (173*t[12])/24 - 
       2*t[13] - (155*t[14])/48 + (475*t[15])/36 + (2*t[20])/3 - 4*t[22] - 
       (38*t[28])/3 - 9*t[29] + (28*t[30])/3 + 12*t[32] - (10*t[33])/3 - 
       2*t[34] + 24*t[35] - 2*t[37] - t[41] + t[42] + t[43] + (34*t[44])/3 - 
       2*t[47] - (71*t[48])/6 + t[49]/24 + (43*t[50])/6 + (77*t[51])/48 - 
       (43*t[52])/6 - t[53]/24 - (33*t[54])/4 + 2*t[59] - (223*t[60])/12 + 
       (53*t[61])/4 + (859*t[62])/24 + (1313*t[63])/24 - (2059*t[64])/24 + 
       (23*t[65])/3 + (139*t[66])/2 + 8*t[69] - 2*t[70] + 2*t[71] - 
       33*t[73] - 17*t[74] + 37*t[75] - 2*t[77] - 2*t[78] - 17*t[79] + 
       4*t[80] - (3*t[81])/2 + (3*t[82])/2 + (68*t[83])/3 - 8*t[84] - 
       (55*t[85])/12 + t[86]/3 + (251*t[87])/12 + (251*t[88])/24 - 
       (203*t[89])/24 + 2*t[99] + 18*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*(5*t[1] + (5*t[3])/6 - 
       (17*t[4])/3 + (65*t[5])/12 + (29*t[6])/8 - (53*t[7])/4 + 
       (325*t[8])/12 - (45*t[9])/4 - (7*t[10])/12 - (833*t[11])/24 - 
       8*t[12] - (485*t[13])/36 - (61*t[14])/8 - (13*t[15])/24 - 
       (17*t[25])/3 + (2*t[26])/3 + 3*t[29] - 2*t[31] + 2*t[35] + 4*t[36] + 
       4*t[37] + 3*t[38] + 2*t[40] - (13*t[44])/2 - 2*t[45] - (17*t[46])/3 + 
       4*t[47] + (37*t[48])/8 - (55*t[49])/6 - (89*t[50])/24 + (20*t[51])/3 + 
       (89*t[52])/24 + (55*t[53])/6 + (75*t[54])/8 + 2*t[59] - 
       (223*t[60])/12 + (53*t[61])/4 + (859*t[62])/24 + (1313*t[63])/24 - 
       (2059*t[64])/24 + (23*t[65])/3 + (139*t[66])/2 + 8*t[69] - 2*t[70] + 
       2*t[71] - 33*t[73] - 17*t[74] + 37*t[75] - 2*t[77] - 2*t[78] - 
       17*t[79] + 4*t[80] - (3*t[81])/2 + (3*t[82])/2 + (68*t[83])/3 - 
       8*t[84] - (55*t[85])/12 + t[86]/3 + (251*t[87])/12 + (251*t[88])/24 - 
       (203*t[89])/24 + 2*t[99] + 18*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*Omega2[v, w, u]*(t[1] - (3*t[2])/2 + (9*t[3])/2 - 
       2*t[4] + 7*t[5] + (17*t[6])/2 - 3*t[7] - 26*t[8] - (31*t[9])/2 + 
       (25*t[10])/2 - 15*t[11] - 14*t[12] - (341*t[13])/36 - (37*t[14])/2 - 
       t[15]/3 - 4*t[25] + 2*t[26] - 4*t[27] - 2*t[35] - 2*t[36] - 4*t[37] + 
       2*t[38] - 2*t[40] + t[46] - 6*t[48] + (11*t[49])/2 + 11*t[50] + 
       3*t[51] - 11*t[52] - (11*t[53])/2 - 11*t[54] - 2*t[59] - 34*t[60] - 
       34*t[61] - 18*t[62] - 8*t[63] + (49*t[64])/2 - (113*t[65])/6 + 
       (143*t[66])/6 + 2*t[77] + 2*t[78] - 4*t[79] + 8*t[80] + 3*t[81] - 
       5*t[82] + 7*t[83] - (15*t[84])/2 - 5*t[85] + 8*t[86] + 16*t[87] + 
       8*t[88] - (21*t[89])/2 + 12*t[99] + 18*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*Omega2[v, w, u]*(12*t[2] - (9*t[3])/2 - 12*t[4] + 
       2*t[5] - (21*t[6])/2 - 7*t[7] - 41*t[8] + (5*t[9])/2 + 11*t[10] - 
       (43*t[11])/2 + (11*t[12])/2 - (217*t[13])/18 - (71*t[14])/12 + 
       (20*t[15])/3 - 2*t[24] + 2*t[28] - 2*t[32] - 2*t[36] - 4*t[37] - 
       t[41] + t[42] + t[46] - 2*t[47] - 7*t[48] + 7*t[50] + (3*t[51])/4 - 
       7*t[52] - 2*t[54] - 2*t[59] - 34*t[60] - 34*t[61] - 18*t[62] - 
       8*t[63] + (49*t[64])/2 - (113*t[65])/6 + (143*t[66])/6 + 2*t[77] + 
       2*t[78] - 4*t[79] + 8*t[80] + 3*t[81] - 5*t[82] + 7*t[83] - 
       (15*t[84])/2 - 5*t[85] + 8*t[86] + 16*t[87] + 8*t[88] - (21*t[89])/2 + 
       12*t[99] + 18*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u]*((-5*t[2])/3 + (121*t[3])/24 + (101*t[4])/12 - 
       (917*t[5])/48 - (5*t[6])/4 - (81*t[7])/8 - (99*t[8])/8 + 
       (385*t[9])/48 + (213*t[10])/8 - (697*t[11])/24 + (109*t[12])/48 - 
       (188*t[13])/9 - (131*t[14])/48 - (5897*t[15])/864 - (4*t[18])/9 - 
       (2*t[19])/3 + 2*t[20] + (2*t[21])/3 - t[22] - (2*t[23])/3 - 5*t[24] + 
       t[28] + (5*t[29])/3 - (8*t[30])/3 + 4*t[31] - 2*t[32] + t[33] + 
       t[34] + (49*t[35])/3 - 6*t[36] - t[37]/3 - t[41]/2 + t[42]/2 - 
       (13*t[43])/4 - t[44] + (17*t[45])/6 + t[46]/6 - (19*t[47])/3 + 
       (7*t[48])/3 + (7*t[49])/2 - (17*t[50])/3 - (9*t[51])/8 + 
       (17*t[52])/3 - (7*t[53])/2 + (47*t[54])/6 - (5*t[59])/2 + 
       (17*t[60])/3 - (110*t[61])/3 + (43*t[62])/4 + (89*t[63])/12 - 
       (431*t[64])/12 - (761*t[65])/36 + (1847*t[66])/36 + (2*t[69])/3 + 
       (4*t[70])/3 - (4*t[71])/3 - 5*t[73] + (5*t[74])/3 + (64*t[75])/3 - 
       2*t[76] + 4*t[77] + (13*t[78])/3 - (11*t[79])/3 - (50*t[80])/3 - 
       2*t[81] + (2*t[82])/3 - 8*t[83] - (13*t[84])/6 + (7*t[85])/2 - 
       (65*t[86])/3 - (31*t[87])/2 - (31*t[88])/4 + (53*t[89])/12 - 
       12*t[98] + 17*t[99] + (125*t[100])/6)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*(-7*t[3] + (83*t[4])/8 - 
       (27*t[5])/8 + (51*t[6])/4 - (69*t[7])/4 - (77*t[8])/4 + (67*t[9])/8 + 
       (93*t[10])/16 - (17*t[11])/2 + (75*t[12])/16 + (1871*t[13])/72 - 
       (4097*t[14])/96 + (437*t[15])/24 + 10*t[28] + 10*t[31] - 10*t[35] - 
       14*t[36] + 10*t[39] - 8*t[40] + 8*t[45] + 4*t[46] - 16*t[47] + 
       (11*t[48])/4 - (125*t[49])/16 - (13*t[50])/4 + (445*t[51])/32 + 
       (13*t[52])/4 + (125*t[53])/16 - (25*t[54])/8 + (87*t[60])/8 - 
       (29*t[61])/8 + (1919*t[62])/16 - (943*t[63])/16 - (445*t[64])/16 + 
       (503*t[65])/24 + (221*t[66])/24 + 13*t[74] + 5*t[75] + 8*t[77] + 
       9*t[78] - t[79] - 16*t[80] + 16*t[81] - 13*t[82] - 18*t[83] + 
       (43*t[84])/8 + (31*t[85])/8 - 113*t[86] - (193*t[87])/8 - 
       (145*t[88])/16 + (793*t[89])/16 - 20*t[99] + 22*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*((21*t[2])/2 - (119*t[3])/4 + 
       29*t[4] - (49*t[5])/8 + (993*t[6])/16 - (241*t[7])/2 + (309*t[8])/2 - 
       45*t[9] + (91*t[10])/4 - (685*t[11])/16 - (57*t[12])/8 + 
       (407*t[13])/18 + (781*t[14])/48 + (9*t[15])/2 + 25*t[28] + 
       (9*t[29])/2 + 6*t[30] - 20*t[32] + 22*t[33] - 22*t[35] - 7*t[36] - 
       4*t[43] - 38*t[44] + t[47] + (627*t[48])/16 + (11*t[49])/2 - 
       (765*t[50])/16 - (11*t[51])/4 + (765*t[52])/16 - (11*t[53])/2 + 
       (793*t[54])/16 + (87*t[60])/8 - (29*t[61])/8 + (1919*t[62])/16 - 
       (943*t[63])/16 - (445*t[64])/16 + (503*t[65])/24 + (221*t[66])/24 + 
       13*t[74] + 5*t[75] + 8*t[77] + 9*t[78] - t[79] - 16*t[80] + 16*t[81] - 
       13*t[82] - 18*t[83] + (43*t[84])/8 + (31*t[85])/8 - 113*t[86] - 
       (193*t[87])/8 - (145*t[88])/16 + (793*t[89])/16 - 20*t[99] + 
       22*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*((3*t[1])/2 + (3*t[2])/2 + (25*t[3])/4 - (113*t[4])/6 + 
       (691*t[5])/48 - (73*t[6])/24 + (37*t[7])/8 + (59*t[8])/24 - 
       (333*t[9])/16 - (133*t[10])/8 - (31*t[11])/4 - (45*t[12])/16 - 
       (631*t[13])/72 - (887*t[14])/48 - (545*t[15])/288 - (20*t[25])/3 + 
       (14*t[26])/3 - (17*t[28])/6 - (2*t[29])/3 + t[30]/6 - (14*t[31])/3 + 
       (8*t[35])/3 + t[36] - t[37] + 2*t[38] - t[39] + 2*t[40] + 
       (7*t[44])/6 - 6*t[45] + (19*t[46])/3 + 12*t[47] - (13*t[48])/8 - 
       (5*t[49])/6 + (197*t[50])/24 - (5*t[51])/3 - (197*t[52])/24 + 
       (5*t[53])/6 - (59*t[54])/8 - (3*t[59])/2 - 30*t[60] - (257*t[61])/12 - 
       (827*t[62])/24 + (59*t[63])/24 + (1291*t[64])/24 + (43*t[65])/18 + 
       (259*t[66])/12 + (8*t[69])/3 + t[73]/2 - 7*t[74] - (5*t[75])/2 + 
       2*t[76] - 2*t[77] - 3*t[78] - (41*t[79])/3 + (43*t[80])/3 - 
       (31*t[81])/6 + (25*t[82])/6 + (49*t[83])/3 - 7*t[84] - (61*t[85])/12 + 
       55*t[86] + (95*t[87])/4 + (95*t[88])/8 - (221*t[89])/24 + 12*t[98] - 
       (26*t[99])/3 + 25*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*((25*t[2])/6 + (149*t[3])/12 - (365*t[4])/12 + 
       (47*t[5])/16 - 17*t[6] + (181*t[7])/8 - (461*t[8])/24 + 
       (115*t[9])/48 - (73*t[10])/6 - (263*t[11])/24 + (401*t[12])/48 - 
       (2317*t[13])/216 - (23*t[14])/6 - (947*t[15])/288 + (10*t[20])/3 - 
       t[22] - (4*t[28])/3 - (5*t[29])/3 - (4*t[30])/3 + t[31] + 5*t[32] - 
       (11*t[33])/3 + (38*t[35])/3 + (15*t[36])/2 - (4*t[37])/3 - 
       (2*t[41])/3 + (2*t[42])/3 + (7*t[43])/2 + (11*t[44])/3 - t[47]/3 - 
       (37*t[48])/4 - (163*t[49])/24 + (107*t[50])/12 + (155*t[51])/48 - 
       (107*t[52])/12 + (163*t[53])/24 - (5*t[54])/3 - (3*t[59])/2 - 
       30*t[60] - (257*t[61])/12 - (827*t[62])/24 + (59*t[63])/24 + 
       (1291*t[64])/24 + (43*t[65])/18 + (259*t[66])/12 + (8*t[69])/3 + 
       t[73]/2 - 7*t[74] - (5*t[75])/2 + 2*t[76] - 2*t[77] - 3*t[78] - 
       (41*t[79])/3 + (43*t[80])/3 - (31*t[81])/6 + (25*t[82])/6 + 
       (49*t[83])/3 - 7*t[84] - (61*t[85])/12 + 55*t[86] + (95*t[87])/4 + 
       (95*t[88])/8 - (221*t[89])/24 + 12*t[98] - (26*t[99])/3 + 25*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (t[1] - (169*t[2])/8 - (129*t[3])/4 + (217*t[4])/4 - (91*t[5])/2 + 
       (955*t[6])/64 + (261*t[7])/16 - (649*t[8])/16 + (2501*t[9])/32 + 
       (63*t[10])/4 + (925*t[11])/64 - (163*t[12])/16 + (69*t[13])/16 + 
       (12701*t[14])/192 - (3889*t[15])/576 + 2*t[19] + 2*t[20] - 2*t[21] - 
       4*t[22] + 2*t[23] - (3*t[28])/2 - (107*t[29])/8 - (59*t[30])/4 + 
       (7*t[31])/2 + 2*t[33] + 9*t[35] - (19*t[36])/2 - 2*t[37] + 2*t[38] - 
       (7*t[39])/8 + (19*t[40])/4 - t[43]/4 - (125*t[44])/8 + 7*t[45] - 
       (3*t[46])/4 - 5*t[47] - (79*t[48])/64 + (79*t[49])/8 + 
       (633*t[50])/64 - (15*t[51])/8 - (1017*t[52])/64 - (79*t[53])/8 + 
       (1003*t[54])/64 + (11*t[59])/2 + (4097*t[60])/32 + (1753*t[61])/32 - 
       (1315*t[62])/64 - (4045*t[63])/64 - (11691*t[64])/64 - 
       (8255*t[65])/96 - (6613*t[66])/96 + 4*t[69] - (3*t[72])/2 - 
       (21*t[73])/2 + 6*t[74] + (35*t[75])/2 - (7*t[76])/2 - (3*t[77])/2 - 
       3*t[78] - (17*t[79])/2 - 10*t[80] + (13*t[81])/4 - (27*t[82])/2 + 
       2*t[83] + (957*t[84])/32 + (493*t[85])/32 - (73*t[86])/2 - 
       (2339*t[87])/32 - (1827*t[88])/64 + (1099*t[89])/64 - 8*t[95] - 
       t[97] - 69*t[98] + 69*t[99] + 27*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((-17*t[1])/2 + (41*t[2])/8 - 
       (33*t[3])/2 + (3017*t[4])/32 - (391*t[5])/16 + 22*t[6] + (99*t[7])/8 - 
       (75*t[8])/8 + (597*t[9])/16 + (2571*t[10])/64 + (77*t[11])/2 - 
       (909*t[12])/64 + (307*t[13])/96 + (19093*t[14])/384 - 
       (1225*t[15])/576 + 4*t[25] + 7*t[26] - (3*t[27])/2 + 2*t[28] + 
       (7*t[29])/2 + (7*t[30])/2 - 2*t[31] - t[34] - 15*t[35] - 4*t[36] + 
       2*t[37] - 10*t[38] + 2*t[39] - 4*t[40] + t[41]/2 - t[42]/2 - 2*t[44] + 
       4*t[45] + (11*t[46])/4 - 8*t[47] - (11*t[48])/8 + (817*t[49])/64 + 
       (73*t[50])/8 - (1821*t[51])/128 - (33*t[52])/8 - (1201*t[53])/64 - 
       (945*t[54])/32 + t[58] + (11*t[59])/2 + (4097*t[60])/32 + 
       (1753*t[61])/32 - (1315*t[62])/64 - (4045*t[63])/64 - 
       (11691*t[64])/64 - (8255*t[65])/96 - (6613*t[66])/96 + 4*t[69] - 
       (3*t[72])/2 - (21*t[73])/2 + 6*t[74] + (35*t[75])/2 - (7*t[76])/2 - 
       (3*t[77])/2 - 3*t[78] - (17*t[79])/2 - 10*t[80] + (13*t[81])/4 - 
       (27*t[82])/2 + 2*t[83] + (957*t[84])/32 + (493*t[85])/32 - 
       (73*t[86])/2 - (2339*t[87])/32 - (1827*t[88])/64 + (1099*t[89])/64 - 
       8*t[95] - t[97] - 69*t[98] + 69*t[99] + 27*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((5*t[1])/2 + 32*t[2] + (219*t[3])/4 - (91*t[4])/2 + (1351*t[5])/16 + 
       (21*t[6])/8 - (327*t[7])/8 - (595*t[8])/8 - (2175*t[9])/16 - 
       (23*t[10])/8 - 105*t[11] - (619*t[12])/16 - (755*t[13])/36 - 
       (1705*t[14])/16 - (6931*t[15])/288 - 8*t[19] + 4*t[20] + 8*t[21] - 
       8*t[23] + 16*t[24] - (3*t[28])/2 + 9*t[29] + 4*t[30] + 6*t[32] + 
       10*t[33] - 19*t[34] + 8*t[35] + 12*t[36] + 4*t[37] + 6*t[38] - 
       6*t[39] + 17*t[40] + (3*t[41])/2 - (3*t[42])/2 + 2*t[43] + 11*t[44] + 
       29*t[45] - 4*t[46] - 28*t[47] + (135*t[48])/8 - (57*t[49])/4 - 
       (89*t[50])/8 + (93*t[51])/8 - (47*t[52])/8 + (57*t[53])/4 - 
       (3*t[54])/8 + 8*t[57] - 4*t[59] - (211*t[60])/4 - (195*t[61])/2 + 
       46*t[62] - 45*t[63] - 5*t[64] + (83*t[65])/3 + (395*t[66])/6 + 
       4*t[69] + 4*t[72] + (51*t[73])/2 - 8*t[74] - (113*t[75])/2 - 
       19*t[76] - 6*t[77] - 6*t[78] - (3*t[79])/2 - 10*t[80] - 5*t[81] - 
       12*t[82] - (113*t[83])/2 - (15*t[84])/4 - (19*t[85])/4 - 
       (47*t[86])/2 + (261*t[87])/4 + (253*t[88])/8 + (185*t[89])/4 - 
       4*t[97] - 32*t[98] + 12*t[99] + (55*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((13*t[1])/2 + 12*t[2] - 8*t[3] + (177*t[4])/4 - (741*t[5])/16 + 
       63*t[6] - (55*t[7])/8 + (785*t[8])/8 - (235*t[9])/16 - (105*t[10])/2 + 
       (225*t[11])/8 + (191*t[12])/16 + (146*t[13])/9 + (9*t[14])/2 - 
       (425*t[15])/96 + 3*t[26] + 12*t[28] + 4*t[29] + 4*t[30] + 4*t[31] + 
       2*t[32] - 2*t[33] - 3*t[34] + 8*t[35] + (5*t[36])/2 - 8*t[37] - 
       5*t[40] + (3*t[41])/2 - (3*t[42])/2 - (13*t[43])/2 + 6*t[44] - 
       10*t[45] + 16*t[46] + 22*t[47] + 19*t[48] - (105*t[49])/8 + 11*t[50] - 
       (19*t[51])/16 + 6*t[52] + (121*t[53])/8 + (67*t[54])/4 + 3*t[58] - 
       4*t[59] - (211*t[60])/4 - (195*t[61])/2 + 46*t[62] - 45*t[63] - 
       5*t[64] + (83*t[65])/3 + (395*t[66])/6 + 4*t[69] + 4*t[72] + 
       (51*t[73])/2 - 8*t[74] - (113*t[75])/2 - 19*t[76] - 6*t[77] - 
       6*t[78] - (3*t[79])/2 - 10*t[80] - 5*t[81] - 12*t[82] - 
       (113*t[83])/2 - (15*t[84])/4 - (19*t[85])/4 - (47*t[86])/2 + 
       (261*t[87])/4 + (253*t[88])/8 + (185*t[89])/4 - 4*t[97] - 32*t[98] + 
       12*t[99] + (55*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*((-3*t[1])/2 + 2*t[2] - (31*t[3])/8 - 
       (73*t[4])/16 + (1039*t[5])/32 - (207*t[6])/16 + (49*t[7])/8 - 
       (31*t[8])/2 + (483*t[9])/32 - (883*t[10])/32 + (43*t[11])/4 + 
       (23*t[12])/16 + (4409*t[13])/144 - (597*t[14])/64 - (367*t[15])/64 + 
       3*t[19] - 3*t[21] - 2*t[22] + 3*t[23] - (13*t[24])/2 + 6*t[27] + 
       5*t[28] - (9*t[29])/4 - 3*t[30] - t[31] - 2*t[32] + (3*t[33])/2 + 
       4*t[34] + 2*t[35] + 9*t[36] + t[37] - (3*t[38])/2 + (5*t[39])/2 - 
       (3*t[40])/4 + (47*t[43])/16 + (21*t[44])/8 - (9*t[45])/4 + 
       (11*t[46])/2 + 5*t[47] - (113*t[48])/16 - (177*t[49])/32 + 
       (11*t[50])/16 + (13*t[51])/64 + (21*t[52])/16 + (113*t[53])/32 + 
       (17*t[54])/8 - 3*t[57] + (13*t[59])/4 - (303*t[60])/16 - 
       (829*t[61])/16 + (1449*t[62])/32 - (1329*t[63])/32 + (395*t[64])/32 + 
       (2747*t[65])/48 - (1051*t[66])/48 + t[73] - 5*t[74] + 13*t[75] + 
       (9*t[76])/2 - t[77] + 5*t[78] + t[79] + (7*t[80])/2 + (11*t[81])/2 + 
       4*t[82] + (19*t[83])/2 + (61*t[84])/16 + (101*t[85])/16 + 
       (9*t[86])/4 + (251*t[87])/16 + (251*t[88])/32 + (671*t[89])/32 - 
       3*t[96] - (3*t[97])/2 - 6*t[98] - 14*t[99] + 38*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*((-17*t[1])/4 + (21*t[2])/4 + 
       (113*t[3])/16 - (87*t[4])/4 + (941*t[5])/32 - (845*t[6])/32 - 
       (155*t[7])/16 + (131*t[8])/16 - (259*t[9])/32 - (135*t[10])/4 - 
       (655*t[11])/32 - (39*t[12])/32 + (2137*t[13])/288 - (343*t[14])/12 - 
       (4505*t[15])/576 + 3*t[24] + (5*t[25])/2 - t[26] + (11*t[27])/2 - 
       4*t[28] - (3*t[29])/2 - (5*t[30])/2 - t[31] + t[32] + 2*t[33] + 
       (3*t[34])/2 - 4*t[35] + 12*t[36] + 5*t[37] - (7*t[38])/2 + 5*t[39] - 
       (5*t[40])/4 - (3*t[41])/4 + (3*t[42])/4 + (13*t[43])/8 - (9*t[44])/4 - 
       (43*t[45])/8 + 4*t[46] + (47*t[47])/4 + (79*t[48])/32 - 
       (193*t[49])/16 - (173*t[50])/32 + (15*t[51])/8 + (125*t[52])/32 + 
       (137*t[53])/16 + (25*t[54])/32 - t[58]/2 + (13*t[59])/4 - 
       (303*t[60])/16 - (829*t[61])/16 + (1449*t[62])/32 - (1329*t[63])/32 + 
       (395*t[64])/32 + (2747*t[65])/48 - (1051*t[66])/48 + t[73] - 5*t[74] + 
       13*t[75] + (9*t[76])/2 - t[77] + 5*t[78] + t[79] + (7*t[80])/2 + 
       (11*t[81])/2 + 4*t[82] + (19*t[83])/2 + (61*t[84])/16 + 
       (101*t[85])/16 + (9*t[86])/4 + (251*t[87])/16 + (251*t[88])/32 + 
       (671*t[89])/32 - 3*t[96] - (3*t[97])/2 - 6*t[98] - 14*t[99] + 
       38*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      (-4*t[1] + (25*t[2])/2 - 30*t[3] - (435*t[4])/8 - (19*t[5])/2 + 
       (159*t[6])/4 + 38*t[7] + 30*t[8] + (69*t[9])/2 - (201*t[10])/16 - 
       t[11]/4 + (643*t[12])/16 - (2495*t[13])/72 + (1355*t[14])/32 + 
       (3149*t[15])/144 + 12*t[26] + 8*t[28] + 4*t[29] + 2*t[30] - 18*t[31] - 
       2*t[34] - 12*t[35] - 4*t[36] + 8*t[37] - 9*t[38] + 3*t[39] - 8*t[40] + 
       t[41] - t[42] - t[43] - 8*t[44] + t[46] + (79*t[48])/4 - 
       (371*t[49])/16 + (143*t[50])/4 + (167*t[51])/32 - (55*t[52])/4 + 
       (307*t[53])/16 + (81*t[54])/8 + 4*t[58] + 5*t[59] - (387*t[60])/8 + 
       (229*t[61])/8 + (229*t[62])/16 - (469*t[63])/16 - (239*t[64])/16 + 
       (461*t[65])/24 + (367*t[66])/24 + 2*t[72] - 10*t[73] + 14*t[75] - 
       34*t[76] + 22*t[78] - 16*t[79] - 12*t[80] - 14*t[81] - 3*t[82] - 
       12*t[83] + (117*t[84])/8 - (351*t[85])/8 - 16*t[86] + (457*t[87])/8 + 
       (457*t[88])/16 + (15*t[89])/16 - 6*t[96] - 8*t[97] - 228*t[98] + 
       220*t[99] + 45*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*((-15*t[1])/4 + (63*t[2])/8 - (227*t[3])/48 - 
       (167*t[4])/12 + (4277*t[5])/48 + (2161*t[6])/96 + (449*t[7])/16 + 
       (853*t[8])/48 - (2047*t[9])/48 - (2549*t[10])/48 + (3281*t[11])/96 + 
       (455*t[12])/48 + (8089*t[13])/288 - (485*t[14])/32 + 
       (4585*t[15])/144 - t[19] + (13*t[20])/3 + t[21] - 3*t[22] - t[23] - 
       (5*t[24])/2 - t[25] - 2*t[27] + (8*t[28])/3 - (19*t[29])/4 + 
       (13*t[30])/6 + 12*t[31] + (5*t[32])/2 + (10*t[33])/3 - t[34] - 
       9*t[35] + (13*t[36])/2 + 6*t[37] + t[38] + t[39]/2 - (3*t[40])/2 - 
       t[41] + t[42] + (269*t[43])/16 + (37*t[44])/24 - (7*t[45])/2 + 
       (13*t[46])/4 + (9*t[47])/2 - (499*t[48])/96 - (229*t[49])/24 + 
       (137*t[50])/96 + (155*t[51])/24 + (55*t[52])/96 + (229*t[53])/24 - 
       (339*t[54])/32 - 3*t[57] + t[59]/4 - (155*t[60])/48 + (95*t[61])/16 + 
       (3041*t[62])/24 - (209*t[63])/6 - (2165*t[64])/96 - (1285*t[65])/24 + 
       (527*t[66])/16 + 2*t[69] - 8*t[72] + t[73] + t[74] + 16*t[75] + 
       3*t[76] - (33*t[77])/4 + 10*t[78] - (47*t[79])/2 + (161*t[80])/4 + 
       (5*t[81])/2 - (43*t[82])/4 + (53*t[83])/6 - (237*t[84])/16 - 
       (659*t[85])/48 - (575*t[86])/24 + (1003*t[87])/48 + (1003*t[88])/96 - 
       (1417*t[89])/96 - t[97] - 16*t[98] + 26*t[99] + 46*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (-t[1] + 10*t[2] - (401*t[3])/24 - (133*t[4])/24 + (57*t[5])/4 + 
       (5845*t[6])/96 - (831*t[7])/16 + (2131*t[8])/48 - (51*t[9])/2 - 
       9*t[10] - (1483*t[11])/96 + (371*t[12])/12 + (2585*t[13])/72 - 
       (8455*t[14])/144 + (3107*t[15])/144 - 6*t[24] - (20*t[25])/3 + 
       (26*t[26])/3 + 3*t[27] + 8*t[28] - 4*t[30] - (19*t[31])/3 - 2*t[33] - 
       t[34] - 9*t[35] + 9*t[36] + 7*t[37] - t[38] + 4*t[39] - 4*t[40] + 
       t[41] - t[42] + (49*t[43])/12 + t[44] - (21*t[45])/4 + (91*t[46])/12 + 
       (23*t[47])/2 + (899*t[48])/32 - (1411*t[49])/48 - (2119*t[50])/96 + 
       (697*t[51])/96 + (2599*t[52])/96 + (1363*t[53])/48 + (3611*t[54])/96 + 
       t[58] + (15*t[59])/4 - (47*t[60])/4 + (91*t[61])/4 + 
       (17081*t[62])/96 - (9577*t[63])/96 - (2023*t[64])/24 + (344*t[65])/3 + 
       (2345*t[66])/144 - 2*t[69] - 12*t[72] + (89*t[73])/4 - (9*t[74])/4 - 
       (31*t[75])/4 + t[76] + (15*t[77])/4 + (11*t[79])/4 - (9*t[80])/4 + 
       (111*t[81])/8 - (647*t[82])/24 - (359*t[83])/6 + (415*t[84])/48 + 
       (323*t[85])/24 - (1137*t[86])/8 + (283*t[87])/8 + (283*t[88])/16 + 
       (3143*t[89])/48 - t[97] + 16*t[98] - 34*t[99] + 53*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (8*t[1] + (73*t[2])/2 - (59*t[3])/2 - (439*t[4])/4 + (561*t[5])/8 - 
       (107*t[6])/2 - 96*t[7] - (9*t[8])/2 - (1123*t[9])/8 + (379*t[10])/8 - 
       (845*t[11])/4 - (119*t[12])/4 - (5503*t[13])/36 - (1755*t[14])/16 - 
       (827*t[15])/48 + 6*t[19] - 12*t[21] + 8*t[22] + 4*t[23] + 8*t[24] - 
       12*t[25] + 8*t[26] + 16*t[27] + 4*t[28] - t[29] - 22*t[30] + 
       30*t[32] + 6*t[33] - 22*t[34] + 32*t[35] - 20*t[36] + 6*t[37] + 
       10*t[38] + 4*t[39] + 10*t[40] - 4*t[41] + 4*t[42] - (23*t[43])/4 - 
       (33*t[44])/2 + 36*t[45] + 14*t[46] - 23*t[47] + (43*t[48])/2 + 
       (229*t[49])/8 - (17*t[50])/2 - (153*t[51])/16 + (5*t[52])/2 - 
       (165*t[53])/8 + (65*t[54])/4 + 8*t[57] - 14*t[59] - (607*t[60])/4 - 
       (1401*t[61])/4 - (163*t[62])/8 - (1421*t[63])/8 + (907*t[64])/8 - 
       (181*t[65])/4 + (929*t[66])/4 + 8*t[70] - 8*t[71] - 16*t[73] + 
       6*t[74] - 24*t[75] - 27*t[76] - 10*t[77] - 7*t[78] + 76*t[79] - 
       66*t[80] - 43*t[81] + 46*t[82] + 70*t[83] - (137*t[84])/4 - 
       (95*t[85])/4 + 59*t[86] + (351*t[87])/4 + (767*t[88])/8 + 
       (47*t[89])/8 - 12*t[95] + 4*t[96] + 6*t[97] - 144*t[98] + 156*t[99] + 
       54*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      (23*t[1] + 67*t[2] + (237*t[3])/4 + (213*t[4])/2 + (1019*t[5])/8 - 
       (271*t[6])/8 + (53*t[7])/4 - (309*t[8])/4 - (641*t[9])/8 + 
       (251*t[10])/4 - (245*t[11])/8 - (395*t[12])/8 + (733*t[13])/72 - 
       (1411*t[14])/8 - (4747*t[15])/144 - 4*t[24] - 20*t[26] + 8*t[27] - 
       16*t[28] - 2*t[29] - 12*t[30] - 12*t[31] + 8*t[32] - 12*t[33] - 
       6*t[34] + 4*t[35] + 18*t[36] + 6*t[37] + 24*t[38] - 13*t[39] - 
       5*t[40] + t[41] - t[42] - (11*t[43])/2 - t[44] + (3*t[45])/2 - 
       24*t[46] + 5*t[47] - (235*t[48])/8 - 5*t[49] + (385*t[50])/8 + 
       (197*t[51])/8 - (337*t[52])/8 - 15*t[53] - (585*t[54])/8 + 2*t[58] - 
       14*t[59] - (607*t[60])/4 - (1401*t[61])/4 - (163*t[62])/8 - 
       (1421*t[63])/8 + (907*t[64])/8 - (181*t[65])/4 + (929*t[66])/4 + 
       8*t[70] - 8*t[71] - 16*t[73] + 6*t[74] - 24*t[75] - 27*t[76] - 
       10*t[77] - 7*t[78] + 76*t[79] - 66*t[80] - 43*t[81] + 46*t[82] + 
       70*t[83] - (137*t[84])/4 - (95*t[85])/4 + 59*t[86] + (351*t[87])/4 + 
       (767*t[88])/8 + (47*t[89])/8 - 12*t[95] + 4*t[96] + 6*t[97] - 
       144*t[98] + 156*t[99] + 54*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((29*t[1])/3 + (23*t[2])/3 + (383*t[3])/24 + (117*t[4])/2 - 
       (1457*t[5])/48 + (155*t[6])/24 + (1001*t[7])/24 + (229*t[8])/8 - 
       (923*t[9])/48 - (1127*t[10])/12 + (787*t[11])/24 - (869*t[12])/48 + 
       (7379*t[13])/432 - (5345*t[14])/144 - (32825*t[15])/864 + 6*t[24] - 
       7*t[25] + t[26] - t[27]/3 - 8*t[28] + (31*t[29])/6 + 8*t[30] + 
       (26*t[31])/3 + (32*t[32])/3 - (14*t[33])/3 - (20*t[34])/3 - 6*t[35] + 
       8*t[36] - 12*t[37] + (25*t[38])/3 + (5*t[39])/6 - (13*t[40])/2 + 
       (10*t[41])/3 - (10*t[42])/3 - (113*t[43])/12 + (29*t[44])/3 - 
       (61*t[45])/4 + 10*t[46] + (247*t[47])/6 + (17*t[48])/4 + 
       (299*t[49])/24 + (121*t[50])/6 - (121*t[51])/12 - (89*t[52])/6 - 
       t[53]/8 - (65*t[54])/2 + 2*t[58] - (32*t[59])/3 - (207*t[60])/4 - 
       85*t[61] - (995*t[62])/24 - (2849*t[63])/24 + (367*t[64])/12 - 
       (496*t[65])/9 + (617*t[66])/18 - 6*t[69] - (22*t[72])/3 - 8*t[73] - 
       2*t[74] + 14*t[75] + (26*t[76])/3 - (4*t[77])/3 - (82*t[78])/3 - 
       10*t[79] + (115*t[80])/3 - (70*t[81])/3 + 12*t[82] - 12*t[83] - 
       (439*t[84])/12 - (281*t[85])/12 + (29*t[86])/6 + (155*t[87])/6 + 
       (155*t[88])/12 + (955*t[89])/24 + 14*t[96] + (22*t[97])/3 + 8*t[98] - 
       16*t[99] + 69*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*((-57*t[2])/4 + t[3]/12 + (87*t[4])/8 - 
       (851*t[5])/48 - (37*t[6])/3 - (211*t[7])/24 - (1159*t[8])/24 - 
       (303*t[9])/16 + (161*t[10])/48 + (439*t[11])/24 - (209*t[12])/24 + 
       (13*t[13])/12 + (1291*t[14])/288 + (1043*t[15])/288 + 3*t[20] - 
       3*t[22] + 2*t[24] + (41*t[28])/6 + t[29]/6 + (28*t[30])/3 - 4*t[31] - 
       t[32] + 3*t[33] - 2*t[35] - 11*t[36] - t[37] + t[41]/2 - t[42]/2 + 
       t[43]/2 - (11*t[44])/3 + 2*t[46] - 2*t[47] - (29*t[48])/4 + 
       (123*t[49])/16 + (121*t[50])/12 - (55*t[51])/32 - (121*t[52])/12 - 
       (123*t[53])/16 - (467*t[54])/24 - (3*t[59])/2 + (155*t[60])/24 - 
       (263*t[61])/24 - (853*t[62])/48 + (15*t[63])/16 - (199*t[64])/48 - 
       (869*t[65])/72 + (59*t[66])/24 + 3*t[69] - (15*t[73])/2 - 6*t[74] + 
       (13*t[75])/2 + 5*t[77] + 2*t[78] - (51*t[79])/2 + 4*t[80] + 7*t[81] - 
       12*t[82] + (26*t[83])/3 - (241*t[84])/24 + (23*t[85])/24 - 
       (13*t[86])/6 - (67*t[87])/8 - (75*t[88])/16 + (175*t[89])/48 + 
       12*t[98] - 10*t[99] + (139*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*((7*t[1])/2 - (17*t[2])/4 + 
       (209*t[3])/8 + (49*t[4])/8 + (249*t[5])/4 - (815*t[6])/32 - 
       (727*t[7])/16 - (587*t[8])/16 - (847*t[9])/8 + 37*t[10] - 
       (883*t[11])/32 - (107*t[12])/4 - (2231*t[13])/72 - (2189*t[14])/48 - 
       (55*t[15])/18 + 4*t[24] - (51*t[25])/4 + (35*t[26])/4 + 6*t[27] + 
       9*t[28] + t[29] - 3*t[30] + t[31] + 4*t[33] - 3*t[34] + 5*t[35] - 
       11*t[36] + (11*t[38])/2 + 8*t[39] + 2*t[40] + (3*t[41])/2 - 
       (3*t[42])/2 - (7*t[43])/2 - (15*t[44])/2 + 2*t[45] + (15*t[46])/2 - 
       3*t[47] - (55*t[48])/32 + (519*t[49])/16 + (273*t[50])/32 - 
       (303*t[51])/32 - (401*t[52])/32 - (391*t[53])/16 - (1301*t[54])/32 - 
       (17*t[59])/4 - (1659*t[60])/16 - (1775*t[61])/16 - (31*t[62])/32 - 
       (1389*t[63])/32 + (707*t[64])/32 - (131*t[65])/2 + (1363*t[66])/24 + 
       2*t[72] - (43*t[73])/4 + (11*t[74])/4 + (73*t[75])/4 + (27*t[76])/2 - 
       (31*t[78])/2 + (23*t[79])/4 + 4*t[80] - (97*t[81])/8 + (137*t[82])/8 + 
       28*t[83] - (73*t[84])/2 - (343*t[85])/16 - (157*t[86])/4 + 
       (479*t[87])/16 + (495*t[88])/32 - (891*t[89])/32 + 9*t[96] + 
       (13*t[97])/2 + 24*t[98] - 24*t[99] + (293*t[100])/4)*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*((13*t[1])/4 + (617*t[2])/16 + 
       (57*t[3])/4 - (645*t[4])/16 + (767*t[5])/16 - (691*t[6])/16 + 
       (161*t[7])/16 - (1751*t[8])/16 + 13*t[9] + (2087*t[10])/32 - 
       (243*t[11])/4 + (609*t[12])/32 - (3607*t[13])/144 - (2331*t[14])/64 - 
       (2281*t[15])/288 + t[19] + t[21] - t[22] - t[23] - 2*t[24] + 8*t[27] - 
       9*t[28] - (3*t[29])/4 + 3*t[31] + 6*t[32] - 9*t[33] - (7*t[34])/2 + 
       (5*t[35])/2 + 9*t[36] - 3*t[37] + (3*t[38])/2 + (9*t[39])/2 - 
       (5*t[40])/2 - (7*t[41])/4 + (7*t[42])/4 + (15*t[44])/2 + 4*t[45] - 
       5*t[47] - (499*t[48])/16 - (273*t[49])/32 + (273*t[50])/16 + 
       (281*t[51])/64 - (313*t[52])/16 + (465*t[53])/32 - (61*t[54])/4 - 
       (17*t[59])/4 - (1659*t[60])/16 - (1775*t[61])/16 - (31*t[62])/32 - 
       (1389*t[63])/32 + (707*t[64])/32 - (131*t[65])/2 + (1363*t[66])/24 + 
       2*t[72] - (43*t[73])/4 + (11*t[74])/4 + (73*t[75])/4 + (27*t[76])/2 - 
       (31*t[78])/2 + (23*t[79])/4 + 4*t[80] - (97*t[81])/8 + (137*t[82])/8 + 
       28*t[83] - (73*t[84])/2 - (343*t[85])/16 - (157*t[86])/4 + 
       (479*t[87])/16 + (495*t[88])/32 - (891*t[89])/32 + 9*t[96] + 
       (13*t[97])/2 + 24*t[98] - 24*t[99] + (293*t[100])/4)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      ((9*t[1])/2 - (8*t[3])/3 + (59*t[4])/3 - (309*t[5])/16 + 
       (175*t[6])/16 - (37*t[7])/24 - (233*t[8])/24 + (461*t[9])/48 + 
       (271*t[10])/8 - (1579*t[11])/48 - (235*t[12])/16 - (941*t[13])/72 - 
       (53*t[14])/9 - (1937*t[15])/288 - (20*t[25])/3 + (8*t[26])/3 - 
       2*t[27] + t[29] - t[30] - 4*t[35] - (15*t[36])/2 + 3*t[37] + 4*t[38] - 
       (3*t[39])/2 - (7*t[40])/2 - 3*t[44] - t[45] - (25*t[46])/6 + 2*t[47] - 
       (183*t[48])/16 + (23*t[49])/12 + (11*t[50])/48 + (31*t[51])/24 - 
       (11*t[52])/48 - (59*t[53])/12 + (89*t[54])/48 + (5*t[59])/2 + 
       (49*t[60])/8 - (815*t[61])/24 - (797*t[62])/48 + (469*t[63])/48 - 
       (213*t[64])/16 - (1061*t[65])/72 + (185*t[66])/8 + 11*t[69] - 
       4*t[70] + 4*t[71] - (7*t[73])/2 - 10*t[74] + (21*t[75])/2 + 5*t[77] + 
       2*t[78] - (59*t[79])/2 + 4*t[80] + 5*t[81] - 10*t[82] + (28*t[83])/3 - 
       (241*t[84])/24 + (37*t[85])/8 + (43*t[86])/6 - (257*t[87])/24 - 
       (281*t[88])/48 + (45*t[89])/16 + 12*t[98] - 10*t[99] + (155*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-24*t[2] + 49*t[4] + (113*t[5])/4 - 23*t[6] + (65*t[7])/2 - 
       (289*t[8])/2 + (323*t[9])/4 + 8*t[10] + (127*t[11])/2 - 
       (143*t[12])/4 + (121*t[13])/9 + (101*t[14])/2 - (295*t[15])/24 - 
       10*t[28] - 24*t[29] + 24*t[30] - 2*t[32] - 6*t[33] - 6*t[35] - 
       6*t[36] - t[43] + 4*t[44] - 4*t[47] - 31*t[48] + (43*t[49])/2 + 
       19*t[50] - (43*t[51])/4 - 19*t[52] - (43*t[53])/2 - 54*t[54] + 
       (89*t[60])/2 + (41*t[61])/2 - 4*t[62] - 16*t[63] - (383*t[64])/4 - 
       (153*t[65])/2 - (197*t[66])/6 - 96*t[73] + 6*t[74] + 134*t[75] + 
       2*t[77] - 2*t[78] - 10*t[79] - 4*t[80] + 13*t[81] - 13*t[82] + 
       40*t[83] - 10*t[84] + (37*t[85])/2 - 26*t[86] - (69*t[87])/2 - 
       (69*t[88])/4 + (39*t[89])/4 + 90*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*(-5*t[3] + 44*t[4] - 
       (149*t[5])/4 - (69*t[6])/4 - t[7]/2 + (11*t[8])/2 + (157*t[9])/4 + 
       (111*t[10])/2 - (23*t[11])/4 - (149*t[12])/4 - (293*t[13])/9 + 
       (245*t[14])/4 - (493*t[15])/24 - 6*t[28] + 6*t[31] - 6*t[35] - 
       16*t[36] - 6*t[39] - 2*t[40] + 2*t[45] + 13*t[46] - 4*t[47] - 
       (45*t[48])/4 + 12*t[49] - (77*t[50])/4 - (111*t[51])/4 + 
       (77*t[52])/4 - 12*t[53] + (125*t[54])/4 + (89*t[60])/2 + 
       (41*t[61])/2 - 4*t[62] - 16*t[63] - (383*t[64])/4 - (153*t[65])/2 - 
       (197*t[66])/6 - 96*t[73] + 6*t[74] + 134*t[75] + 2*t[77] - 2*t[78] - 
       10*t[79] - 4*t[80] + 13*t[81] - 13*t[82] + 40*t[83] - 10*t[84] + 
       (37*t[85])/2 - 26*t[86] - (69*t[87])/2 - (69*t[88])/4 + (39*t[89])/4 + 
       90*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-25*t[1])/6 - (584*t[2])/3 + 2*t[3] + (2033*t[4])/24 - 44*t[5] - 
       (21*t[6])/2 - 21*t[7] - (461*t[8])/3 + (47*t[9])/6 + (3835*t[10])/48 + 
       (77*t[11])/2 + (1991*t[12])/48 + (23639*t[13])/216 - 
       (25441*t[14])/96 - (11861*t[15])/144 - 14*t[19] - 16*t[21] + 4*t[22] + 
       16*t[23] - 60*t[24] + 8*t[25] - 6*t[26] - (58*t[27])/3 - 
       (100*t[28])/3 + (28*t[29])/3 - (16*t[30])/3 + (4*t[31])/3 + 6*t[32] + 
       2*t[33] - (31*t[34])/3 - 34*t[35] - 32*t[36] + 34*t[37] - t[38]/3 - 
       37*t[39] + 4*t[40] - (35*t[41])/6 + (35*t[42])/6 + (43*t[43])/6 + 
       (14*t[44])/3 + 26*t[45] - 19*t[46] + 26*t[47] - (397*t[48])/6 + 
       (443*t[49])/16 + (455*t[50])/6 + (417*t[51])/32 - (493*t[52])/6 - 
       (1777*t[53])/48 - (3941*t[54])/24 - 4*t[57] + (85*t[59])/6 + 
       (475*t[60])/8 - (2977*t[61])/8 + (14305*t[62])/48 - (2129*t[63])/48 + 
       (3545*t[64])/48 + (9029*t[65])/72 - (485*t[66])/72 - 8*t[69] + 
       (16*t[72])/3 + 46*t[73] - 108*t[74] - 58*t[75] - (116*t[76])/3 - 
       (50*t[77])/3 + (106*t[78])/3 + 102*t[79] - (436*t[80])/3 + 
       (130*t[81])/3 - 27*t[82] + 68*t[83] + (17*t[84])/24 + 
       (2749*t[85])/24 + (476*t[86])/3 + (337*t[87])/24 + (337*t[88])/48 + 
       (4747*t[89])/48 - 4*t[95] - 14*t[96] - (37*t[97])/3 - 108*t[98] - 
       40*t[99] + 104*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-80*t[1])/3 - (193*t[2])/6 - (5*t[3])/6 + 
       32*t[4] - (887*t[5])/6 + (3095*t[6])/48 - (1399*t[7])/12 + 
       (351*t[8])/4 + (1165*t[9])/24 + (433*t[10])/6 - (14735*t[11])/48 + 
       (1565*t[12])/12 + (598*t[13])/27 - (21583*t[14])/144 - 
       (41297*t[15])/432 - 4*t[24] + 30*t[25] - 2*t[26] + (34*t[27])/3 + 
       18*t[28] + (149*t[29])/6 + 13*t[30] + (46*t[31])/3 - (26*t[32])/3 + 
       (50*t[33])/3 + (8*t[34])/3 + 18*t[35] + 36*t[36] + 50*t[37] - 
       (73*t[38])/3 - (77*t[39])/6 + 12*t[40] - t[41]/3 + t[42]/3 - 
       (46*t[43])/3 - (31*t[44])/6 - 25*t[45] - 31*t[46] + (118*t[47])/3 + 
       (167*t[48])/16 + (181*t[49])/6 - (3707*t[50])/48 - (35*t[51])/3 + 
       (4507*t[52])/48 - (79*t[53])/2 + (1413*t[54])/16 + 2*t[58] + 
       (85*t[59])/6 + (475*t[60])/8 - (2977*t[61])/8 + (14305*t[62])/48 - 
       (2129*t[63])/48 + (3545*t[64])/48 + (9029*t[65])/72 - (485*t[66])/72 - 
       8*t[69] + (16*t[72])/3 + 46*t[73] - 108*t[74] - 58*t[75] - 
       (116*t[76])/3 - (50*t[77])/3 + (106*t[78])/3 + 102*t[79] - 
       (436*t[80])/3 + (130*t[81])/3 - 27*t[82] + 68*t[83] + (17*t[84])/24 + 
       (2749*t[85])/24 + (476*t[86])/3 + (337*t[87])/24 + (337*t[88])/48 + 
       (4747*t[89])/48 - 4*t[95] - 14*t[96] - (37*t[97])/3 - 108*t[98] - 
       40*t[99] + 104*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - v]*(4*t[3] + 19*t[4] - t[5]/4 - (59*t[6])/8 - 
       58*t[7] + 42*t[8] - 84*t[9] + 74*t[10] - (241*t[11])/8 - 
       (103*t[12])/4 - (376*t[13])/9 - (181*t[14])/24 + (1865*t[15])/36 - 
       12*t[29] + 45*t[30] - 18*t[35] - 46*t[36] - 3*t[39] - (11*t[40])/2 - 
       5*t[44] + 16*t[45] - 16*t[46] - 32*t[47] + (319*t[48])/8 + 
       (13*t[49])/2 - (49*t[50])/8 - (39*t[51])/4 + (49*t[52])/8 - 
       (13*t[53])/2 - (11*t[54])/8 - (309*t[60])/4 + (263*t[61])/4 + 
       (747*t[62])/8 + (1325*t[63])/8 - (421*t[64])/8 + (169*t[65])/4 + 
       (3505*t[66])/12 - 6*t[72] - 42*t[73] + 24*t[74] + 92*t[75] - 6*t[76] + 
       16*t[77] - 16*t[78] - 22*t[79] - 32*t[80] - 34*t[81] + 16*t[82] - 
       46*t[83] - (161*t[84])/4 - (169*t[85])/4 - 110*t[86] - (113*t[87])/4 - 
       (113*t[88])/8 + (221*t[89])/8 + 38*t[99] + 124*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*(-48*t[2] - 23*t[3] - 
       (65*t[4])/4 - (215*t[5])/4 + (79*t[6])/2 - (101*t[7])/2 + 
       (185*t[8])/2 + (93*t[9])/4 + (837*t[10])/8 - 94*t[11] - 
       (541*t[12])/8 - (2911*t[13])/36 + (2495*t[14])/48 + (587*t[15])/12 + 
       6*t[28] - 6*t[29] + 6*t[30] - 16*t[32] - 6*t[35] - 24*t[36] - 
       8*t[43] - 30*t[44] - 8*t[47] + (49*t[48])/2 + (131*t[49])/8 - 
       (55*t[50])/2 - (219*t[51])/16 + (55*t[52])/2 - (131*t[53])/8 + 
       (263*t[54])/4 - (309*t[60])/4 + (263*t[61])/4 + (747*t[62])/8 + 
       (1325*t[63])/8 - (421*t[64])/8 + (169*t[65])/4 + (3505*t[66])/12 - 
       6*t[72] - 42*t[73] + 24*t[74] + 92*t[75] - 6*t[76] + 16*t[77] - 
       16*t[78] - 22*t[79] - 32*t[80] - 34*t[81] + 16*t[82] - 46*t[83] - 
       (161*t[84])/4 - (169*t[85])/4 - 110*t[86] - (113*t[87])/4 - 
       (113*t[88])/8 + (221*t[89])/8 + 38*t[99] + 124*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((3*t[1])/2 + (45*t[2])/8 + (509*t[3])/24 - (431*t[4])/8 + 
       (391*t[5])/48 - (1075*t[6])/48 - (172*t[7])/3 - (979*t[8])/12 - 
       (985*t[9])/16 + (963*t[10])/16 - (4321*t[11])/48 - (197*t[12])/6 - 
       (3863*t[13])/48 - (2873*t[14])/288 - (7229*t[15])/288 + 2*t[20] - 
       2*t[22] - 2*t[24] - 6*t[25] + 4*t[26] + 4*t[27] - (52*t[28])/3 - 
       (23*t[29])/3 + (5*t[30])/3 + (22*t[31])/3 - 3*t[32] - 5*t[33] + 
       34*t[35] + (55*t[36])/2 + 2*t[37] + 2*t[38] - 3*t[39] + t[40]/2 - 
       2*t[41] + 2*t[42] - (7*t[43])/12 - (11*t[44])/6 + (37*t[45])/2 - 
       t[46]/2 - 34*t[47] - (41*t[48])/16 - (409*t[49])/48 - (197*t[50])/16 - 
       (161*t[51])/32 + (197*t[52])/16 + (409*t[53])/48 + (283*t[54])/16 - 
       3*t[59] - (176*t[60])/3 - (449*t[61])/3 + (959*t[62])/12 + 
       (785*t[63])/4 + (277*t[64])/3 + (190*t[65])/9 + (1711*t[66])/9 - 
       4*t[69] + 3*t[72] + t[73] + 16*t[74] + 40*t[75] - 7*t[77] + 12*t[78] - 
       (43*t[79])/2 - 56*t[80] - 2*t[81] + (85*t[82])/3 - (80*t[83])/3 - 
       (101*t[84])/12 + (29*t[85])/4 - (313*t[86])/2 + (17*t[87])/12 + 
       (17*t[88])/24 + (179*t[89])/12 + 8*t[98] - 36*t[99] + 126*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      (2*t[1] + (589*t[2])/16 - 9*t[3] + (409*t[4])/16 + (49*t[5])/4 + 
       (697*t[6])/8 - (2557*t[7])/16 + (2735*t[8])/16 - (187*t[9])/16 + 
       (1193*t[10])/32 - (1361*t[11])/16 - (227*t[12])/32 + (2063*t[13])/72 + 
       (2569*t[14])/192 + (1015*t[15])/48 - t[18] + t[20] + 3*t[22] - 
       8*t[23] + 26*t[28] + (39*t[29])/4 - (43*t[30])/4 - (37*t[32])/2 + 
       22*t[33] - 16*t[34] - (49*t[35])/2 - 5*t[36] - 2*t[37] + 2*t[38] - 
       (9*t[40])/2 - t[41] + t[42] - 4*t[43] - (199*t[44])/4 + t[45] + 
       2*t[47] + (495*t[48])/8 - (47*t[49])/32 - (359*t[50])/8 + 
       (111*t[51])/64 + (471*t[52])/8 + (47*t[53])/32 + (997*t[54])/16 - 
       6*t[59] - (251*t[60])/16 - (1151*t[61])/16 + (6389*t[62])/32 - 
       (4169*t[63])/32 - (5489*t[64])/32 + 104*t[65] + (1861*t[66])/24 - 
       8*t[69] - 6*t[70] + 6*t[71] - (23*t[73])/4 + (51*t[74])/4 + 
       (73*t[75])/4 - 5*t[76] + 12*t[77] + 4*t[78] + (3*t[79])/4 - 10*t[80] + 
       (55*t[81])/8 - (103*t[82])/8 - 42*t[83] + (17*t[84])/2 + 
       (157*t[85])/16 - (661*t[86])/4 - (469*t[87])/16 - (277*t[88])/32 + 
       (3021*t[89])/32 - 2*t[95] - 4*t[96] + t[97] - 24*t[98] + 20*t[99] + 
       (289*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-9*t[1])/2 - t[2]/2 - (31*t[3])/4 + (87*t[4])/2 + (251*t[5])/16 + 
       (791*t[6])/32 - (493*t[7])/16 - (469*t[8])/16 - (231*t[9])/16 + 
       (91*t[10])/16 - (1737*t[11])/32 + (15*t[12])/8 + (3961*t[13])/144 - 
       (2271*t[14])/32 + (2725*t[15])/96 - 4*t[25] + 8*t[26] + 14*t[28] + 
       12*t[31] - t[34] - 12*t[35] - 10*t[36] - 7*t[37] - t[38] + 10*t[39] - 
       12*t[40] + t[41]/2 - t[42]/2 + 8*t[45] + (35*t[46])/4 - 16*t[47] + 
       (135*t[48])/32 - (61*t[49])/8 - (105*t[50])/32 + (71*t[51])/8 + 
       (137*t[52])/32 + (49*t[53])/8 - (543*t[54])/32 + t[58] - 6*t[59] - 
       (251*t[60])/16 - (1151*t[61])/16 + (6389*t[62])/32 - (4169*t[63])/32 - 
       (5489*t[64])/32 + 104*t[65] + (1861*t[66])/24 - 8*t[69] - 6*t[70] + 
       6*t[71] - (23*t[73])/4 + (51*t[74])/4 + (73*t[75])/4 - 5*t[76] + 
       12*t[77] + 4*t[78] + (3*t[79])/4 - 10*t[80] + (55*t[81])/8 - 
       (103*t[82])/8 - 42*t[83] + (17*t[84])/2 + (157*t[85])/16 - 
       (661*t[86])/4 - (469*t[87])/16 - (277*t[88])/32 + (3021*t[89])/32 - 
       2*t[95] - 4*t[96] + t[97] - 24*t[98] + 20*t[99] + (289*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((53*t[1])/6 + (193*t[2])/8 + (793*t[3])/24 - (145*t[4])/8 - 
       (719*t[5])/48 - (4255*t[6])/48 - (437*t[7])/12 - (332*t[8])/3 + 
       (41*t[9])/16 + (1859*t[10])/48 - (3317*t[11])/48 + (361*t[12])/6 - 
       (11351*t[13])/144 - (1391*t[14])/32 + (5611*t[15])/864 + 8*t[19] + 
       2*t[20] - 12*t[21] + 4*t[22] + (44*t[23])/3 - 2*t[24] - 4*t[25] + 
       4*t[26] + 18*t[27] - (19*t[29])/2 + (23*t[30])/3 + (27*t[31])/2 + 
       (35*t[32])/3 - (62*t[33])/3 - (140*t[34])/3 + 36*t[35] - (5*t[36])/2 - 
       (4*t[37])/3 + 8*t[38] + 4*t[39] + (133*t[40])/6 - 3*t[41] + 3*t[42] + 
       t[43]/12 - 6*t[44] + (145*t[45])/6 + (27*t[46])/2 - 2*t[47] - 
       (17*t[48])/16 + (171*t[49])/16 - (551*t[50])/48 - (331*t[51])/32 - 
       (617*t[52])/48 + (5*t[53])/16 + (973*t[54])/48 + 8*t[57] - 
       (23*t[59])/6 - (1207*t[60])/12 - (1529*t[61])/12 - (2729*t[62])/24 - 
       (1533*t[63])/8 + (3217*t[64])/24 - (2527*t[65])/36 + (131*t[66])/4 + 
       4*t[69] + (8*t[70])/3 - (8*t[71])/3 - (3*t[72])/2 + 7*t[73] + 
       (28*t[74])/3 - 70*t[75] + (47*t[76])/3 - (19*t[77])/3 - 38*t[78] + 
       (95*t[79])/2 - (20*t[80])/3 - (61*t[81])/3 - (55*t[82])/2 + 35*t[83] - 
       (91*t[84])/2 - (19*t[85])/2 + (539*t[86])/6 + (19*t[87])/2 + 
       (181*t[88])/12 + (181*t[89])/8 + (16*t[95])/3 + (58*t[96])/3 + 
       (32*t[97])/3 + 52*t[98] - 24*t[99] + 150*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((33*t[1])/2 + (301*t[2])/8 + (823*t[3])/24 + (1663*t[4])/24 + 
       (5021*t[5])/48 + (3167*t[6])/48 + (179*t[7])/12 + 61*t[8] - 
       (1223*t[9])/16 + (4361*t[10])/48 + (89*t[11])/48 - (805*t[12])/24 + 
       (1099*t[13])/432 - (22117*t[14])/288 - (11423*t[15])/288 - 2*t[24] - 
       (58*t[25])/3 + (44*t[26])/3 - 4*t[27] - 18*t[28] + 3*t[29] - 
       11*t[30] - 20*t[31] + 7*t[32] - 9*t[33] - 10*t[34] - 14*t[35] - 
       (11*t[36])/6 - (13*t[37])/3 + (37*t[38])/3 - (14*t[39])/3 - 
       (29*t[40])/2 + 5*t[41] - 5*t[42] - (11*t[43])/4 + (5*t[44])/2 + 
       (4*t[45])/3 - (35*t[46])/2 + (13*t[47])/3 + (59*t[48])/48 + 
       (785*t[49])/16 + (335*t[50])/48 - (149*t[51])/32 + (27*t[52])/16 - 
       (641*t[53])/16 - (2837*t[54])/48 + 3*t[58] - (23*t[59])/6 - 
       (1207*t[60])/12 - (1529*t[61])/12 - (2729*t[62])/24 - (1533*t[63])/8 + 
       (3217*t[64])/24 - (2527*t[65])/36 + (131*t[66])/4 + 4*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 - (3*t[72])/2 + 7*t[73] + (28*t[74])/3 - 
       70*t[75] + (47*t[76])/3 - (19*t[77])/3 - 38*t[78] + (95*t[79])/2 - 
       (20*t[80])/3 - (61*t[81])/3 - (55*t[82])/2 + 35*t[83] - (91*t[84])/2 - 
       (19*t[85])/2 + (539*t[86])/6 + (19*t[87])/2 + (181*t[88])/12 + 
       (181*t[89])/8 + (16*t[95])/3 + (58*t[96])/3 + (32*t[97])/3 + 
       52*t[98] - 24*t[99] + 150*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*((381*t[2])/2 + (757*t[3])/4 - 
       75*t[4] + (319*t[5])/2 - (147*t[6])/2 + 31*t[7] + 29*t[8] - 326*t[9] - 
       80*t[10] - 199*t[11] - 22*t[12] - (3469*t[13])/36 - (1657*t[14])/6 + 
       (2593*t[15])/24 - 12*t[19] + 6*t[22] - 66*t[28] - 47*t[29] + 
       66*t[30] + 39*t[32] - 36*t[33] - 12*t[34] + 82*t[35] + 42*t[36] - 
       34*t[37] - 13*t[41] + 13*t[42] + 9*t[43] + (111*t[44])/2 - 14*t[47] - 
       59*t[48] + (81*t[49])/2 + 35*t[50] - t[51] - 35*t[52] - (81*t[53])/2 - 
       (223*t[54])/2 - 12*t[59] - (745*t[60])/2 - 411*t[61] + (761*t[62])/4 + 
       (599*t[63])/4 + (303*t[64])/2 - (37*t[65])/2 + (4285*t[66])/6 + 
       22*t[69] - 144*t[73] - 42*t[74] + 170*t[75] - 96*t[76] - 18*t[77] + 
       106*t[78] - 58*t[79] + 68*t[80] - 28*t[81] + 28*t[82] + 151*t[83] - 
       136*t[84] - 62*t[85] + 166*t[86] + 287*t[87] + (275*t[88])/2 - 
       (161*t[89])/4 + 12*t[95] + 96*t[99] + 167*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*(15*t[1] + 17*t[3] - 
       (615*t[4])/2 + 56*t[5] + (293*t[6])/4 - (403*t[7])/2 + (451*t[8])/2 - 
       (367*t[9])/2 - (209*t[10])/2 - (1119*t[11])/4 - (39*t[12])/2 - 
       (351*t[13])/2 - (3025*t[14])/24 - (63*t[15])/4 - 80*t[25] + 62*t[26] + 
       42*t[29] + 12*t[30] - 22*t[31] + 22*t[35] + 6*t[36] - 6*t[37] + 
       18*t[38] + 50*t[40] - 131*t[44] - 18*t[45] + 37*t[46] + 36*t[47] + 
       (119*t[48])/4 - (63*t[49])/2 - (129*t[50])/4 + (237*t[51])/8 + 
       (129*t[52])/4 + (81*t[53])/2 + (423*t[54])/4 - 12*t[59] - 
       (745*t[60])/2 - 411*t[61] + (761*t[62])/4 + (599*t[63])/4 + 
       (303*t[64])/2 - (37*t[65])/2 + (4285*t[66])/6 + 22*t[69] - 144*t[73] - 
       42*t[74] + 170*t[75] - 96*t[76] - 18*t[77] + 106*t[78] - 58*t[79] + 
       68*t[80] - 28*t[81] + 28*t[82] + 151*t[83] - 136*t[84] - 62*t[85] + 
       166*t[86] + 287*t[87] + (275*t[88])/2 - (161*t[89])/4 + 12*t[95] + 
       96*t[99] + 167*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((11*t[1])/2 + t[2]/2 + (7*t[3])/4 - 
       (2195*t[4])/24 - (101*t[5])/6 + (147*t[6])/8 + (49*t[7])/6 + 
       (95*t[8])/3 - (275*t[9])/12 - (727*t[10])/48 - (327*t[11])/8 + 
       (411*t[12])/16 + (769*t[13])/36 - (21347*t[14])/288 + 
       (905*t[15])/144 + 4*t[24] + 2*t[25] - 6*t[26] - 6*t[27] - 9*t[31] + 
       4*t[33] - t[34] - 3*t[35] + 5*t[36] - 6*t[37] + 4*t[38] - 3*t[39] - 
       4*t[40] + t[41]/2 - t[42]/2 - 10*t[45] + 10*t[46] + 20*t[47] - 
       (33*t[48])/8 - (2329*t[49])/48 + (163*t[50])/8 + (505*t[51])/32 - 
       (91*t[52])/8 + (1729*t[53])/48 + (151*t[54])/12 - 4*t[59] - 
       (2807*t[60])/24 - (2401*t[61])/24 - (221*t[62])/48 - (105*t[63])/16 + 
       (9859*t[64])/48 + (11303*t[65])/72 + (3251*t[66])/24 - 10*t[69] + 
       4*t[70] - 4*t[71] + 2*t[72] + 7*t[73] - 21*t[74] + 14*t[75] - 
       15*t[76] + 2*t[77] - 2*t[78] - 10*t[79] + 4*t[80] - 14*t[81] + 
       3*t[82] - (29*t[83])/3 - (89*t[84])/24 - (353*t[85])/24 + 
       (320*t[86])/3 + (1341*t[87])/8 + (1229*t[88])/16 + (1379*t[89])/48 + 
       2*t[95] - 16*t[96] - 3*t[97] - 132*t[98] + 138*t[99] + (361*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      (-3*t[1] - 23*t[2] + (243*t[3])/8 - (877*t[4])/12 + (323*t[5])/12 - 
       (81*t[6])/16 - (230*t[7])/3 + (157*t[8])/2 - (1867*t[9])/24 - 
       (337*t[10])/24 - (4913*t[11])/48 + (51*t[12])/8 - (473*t[13])/9 - 
       (3895*t[14])/36 - (251*t[15])/36 + (20*t[20])/3 - t[22] - 4*t[24] + 
       (5*t[28])/3 + (19*t[29])/6 + (5*t[30])/3 + 12*t[31] + (25*t[32])/2 - 
       (7*t[33])/3 - 3*t[34] + 57*t[35] - 2*t[37] - t[38] - (3*t[39])/2 + 
       (9*t[40])/2 - t[41] + t[42] + 5*t[43] - (127*t[44])/12 + 19*t[45] + 
       t[46] - 20*t[47] + (1535*t[48])/48 - (347*t[49])/24 - (171*t[50])/16 + 
       (311*t[51])/48 + (155*t[52])/16 + (179*t[53])/24 + (1685*t[54])/48 - 
       (853*t[60])/8 - (3113*t[61])/24 - (389*t[62])/48 - (1715*t[63])/48 + 
       (3257*t[64])/16 + (11719*t[65])/72 + (1153*t[66])/8 + 6*t[69] + 
       10*t[72] + 19*t[73] - 25*t[74] + 26*t[75] - 15*t[76] + 2*t[77] - 
       2*t[78] - 22*t[79] + 4*t[80] - 16*t[81] + 5*t[82] + t[83]/3 - 
       (25*t[84])/24 - (67*t[85])/8 + (404*t[86])/3 + (3583*t[87])/24 + 
       (3247*t[88])/48 + (457*t[89])/16 + 2*t[95] - 16*t[96] - 3*t[97] - 
       132*t[98] + 138*t[99] + (385*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (18*t[1] + (39*t[2])/2 + (245*t[3])/12 - (689*t[4])/4 + 
       (3349*t[5])/24 - (35*t[6])/3 - (259*t[7])/4 + (317*t[8])/4 - 
       (1499*t[9])/8 + (3763*t[10])/24 - (475*t[11])/6 - (209*t[12])/3 - 
       (6551*t[13])/72 - (13949*t[14])/144 + (9613*t[15])/144 - 2*t[24] - 
       26*t[25] + 14*t[26] + 6*t[27] + 12*t[29] - 4*t[30] - (98*t[31])/3 + 
       4*t[32] - 6*t[33] - 44*t[35] + 10*t[36] - 4*t[37] + 12*t[38] + 
       10*t[39] - 12*t[40] + (109*t[43])/6 - 24*t[44] + (37*t[45])/2 + 
       4*t[46] - 33*t[47] + (107*t[48])/4 - (1193*t[49])/24 + 
       (445*t[50])/12 + (385*t[51])/16 - (445*t[52])/12 + (1145*t[53])/24 + 
       (29*t[54])/3 - 7*t[59] - (3691*t[60])/12 - (989*t[61])/4 + 
       (3281*t[62])/24 + (513*t[63])/8 + (2137*t[64])/8 + (1757*t[65])/12 + 
       (18337*t[66])/36 + 4*t[69] + 2*t[72] - 80*t[73] + 12*t[74] + 8*t[75] - 
       34*t[76] + 16*t[78] + 18*t[79] - 27*t[80] - 30*t[81] + (199*t[82])/3 + 
       6*t[83] - (703*t[84])/12 - (1235*t[85])/12 - (745*t[86])/6 + 
       (2855*t[87])/12 + (2855*t[88])/24 + (235*t[89])/8 - 4*t[97] - 
       48*t[99] + 223*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(t[1] - 96*t[2] + (218*t[3])/3 - (139*t[4])/2 - 
       (527*t[5])/24 - (877*t[6])/24 - (737*t[7])/4 + (75*t[8])/4 - 
       (1509*t[9])/8 + (374*t[10])/3 - (5683*t[11])/24 - (1195*t[12])/24 - 
       (7379*t[13])/72 - (15565*t[14])/72 - (4849*t[15])/144 + (8*t[19])/3 - 
       4*t[20] - 4*t[21] + 8*t[22] + 4*t[23] + 4*t[24] - 2*t[25] + 2*t[26] + 
       6*t[27] + 12*t[28] - t[29] + 28*t[30] - (80*t[31])/3 + 2*t[32] + 
       6*t[33] - 12*t[34] + 8*t[35] - 20*t[36] + 20*t[37] + 4*t[38] - 
       12*t[39] + 12*t[40] + 4*t[41] - 4*t[42] - (119*t[43])/6 - 
       (15*t[44])/2 - 3*t[45] + 3*t[46] + 14*t[47] + (353*t[48])/8 + 
       (5*t[49])/12 - (385*t[50])/24 + (97*t[51])/8 + (97*t[52])/24 - 
       (5*t[53])/12 + (517*t[54])/24 + 4*t[57] - 7*t[59] - (3691*t[60])/12 - 
       (989*t[61])/4 + (3281*t[62])/24 + (513*t[63])/8 + (2137*t[64])/8 + 
       (1757*t[65])/12 + (18337*t[66])/36 + 4*t[69] + 2*t[72] - 80*t[73] + 
       12*t[74] + 8*t[75] - 34*t[76] + 16*t[78] + 18*t[79] - 27*t[80] - 
       30*t[81] + (199*t[82])/3 + 6*t[83] - (703*t[84])/12 - 
       (1235*t[85])/12 - (745*t[86])/6 + (2855*t[87])/12 + (2855*t[88])/24 + 
       (235*t[89])/8 - 4*t[97] - 48*t[99] + 223*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((10*t[1])/3 - (87*t[2])/4 - (1199*t[3])/24 + (7*t[4])/2 + 
       (67*t[5])/12 + (713*t[6])/12 + (3203*t[7])/24 + (4349*t[8])/24 + 
       (1299*t[9])/8 - (473*t[10])/24 + (617*t[11])/24 + (137*t[12])/12 - 
       (3691*t[13])/144 + 78*t[14] + (2773*t[15])/54 - 2*t[19] + 6*t[20] + 
       2*t[21] - 8*t[22] + (2*t[23])/3 + t[24] + 2*t[25] - 2*t[26] + 
       4*t[27] + 8*t[28] - (3*t[29])/2 - (46*t[30])/3 + 6*t[31] + 
       (29*t[32])/3 - (17*t[33])/3 - (5*t[34])/3 + 4*t[35] - t[36] + 
       (32*t[37])/3 - 2*t[38] + (29*t[39])/2 - (31*t[40])/3 + t[41]/2 - 
       t[42]/2 + (467*t[43])/24 - (91*t[44])/4 - (79*t[45])/3 + 
       (19*t[46])/2 + 26*t[47] + (229*t[48])/8 + (21*t[49])/2 - 
       (631*t[50])/24 - (57*t[51])/8 + (983*t[52])/24 + t[53]/2 + 
       (1529*t[54])/24 - 6*t[57] + (43*t[59])/6 + (254*t[60])/3 + 
       (1405*t[61])/12 - (1663*t[62])/12 - (661*t[63])/4 + (3583*t[64])/24 + 
       (1445*t[65])/36 + (295*t[66])/12 + 12*t[69] + (8*t[70])/3 - 
       (8*t[71])/3 - 2*t[72] + 20*t[73] + (4*t[74])/3 + 26*t[75] + 
       (143*t[76])/3 + (32*t[77])/3 - 55*t[78] - 20*t[79] + (307*t[80])/3 + 
       (35*t[81])/3 - 18*t[82] + 5*t[83] - (5*t[84])/4 - (3*t[85])/4 + 
       (875*t[86])/6 - (213*t[87])/2 - (443*t[88])/12 + (197*t[89])/2 + 
       (4*t[95])/3 + (58*t[96])/3 + (50*t[97])/3 + 232*t[98] - 252*t[99] + 
       257*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-2*t[1] - 93*t[2] + (45*t[3])/2 + (83*t[4])/4 - (427*t[5])/8 - 
       11*t[6] - (79*t[7])/2 - 96*t[8] - (563*t[9])/8 + (129*t[10])/8 - 
       (165*t[11])/4 - (71*t[12])/2 - (379*t[13])/36 - (3659*t[14])/48 - 
       (5749*t[15])/144 - 8*t[21] + 8*t[23] - 14*t[24] - 4*t[27] - 20*t[28] + 
       5*t[29] + 28*t[30] + 4*t[31] + 12*t[32] - 6*t[33] - 8*t[34] + 
       12*t[35] - 40*t[36] + 24*t[37] + 2*t[38] - 22*t[39] + 13*t[40] - 
       4*t[41] + 4*t[42] + (9*t[43])/4 + (15*t[44])/2 + 13*t[45] - 19*t[48] + 
       (187*t[49])/8 + 19*t[50] - (111*t[51])/16 - 27*t[52] - (251*t[53])/8 - 
       (227*t[54])/4 + 4*t[57] + 5*t[59] + (95*t[60])/4 - (803*t[61])/4 + 
       (1119*t[62])/8 + (953*t[63])/8 + (173*t[64])/8 - (67*t[65])/12 + 
       (971*t[66])/12 + 12*t[69] - 28*t[73] - 28*t[74] + 8*t[75] - 26*t[76] - 
       4*t[77] - 4*t[78] - 32*t[79] - 98*t[80] + 10*t[81] - 36*t[82] + 
       14*t[83] - (69*t[84])/4 + (259*t[85])/4 + 19*t[86] - (107*t[87])/4 - 
       (107*t[88])/8 + (529*t[89])/8 - 12*t[96] - 10*t[97] - 40*t[98] - 
       44*t[99] + 258*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-9*t[1] + 6*t[2] + (107*t[3])/4 + 
       (33*t[4])/2 - (785*t[5])/8 + (147*t[6])/8 - (121*t[7])/4 + 
       (37*t[8])/4 + (643*t[9])/8 + (565*t[10])/4 - (1215*t[11])/8 + 
       (21*t[12])/8 - (671*t[13])/24 - (1199*t[14])/24 - (723*t[15])/16 - 
       4*t[24] + 10*t[25] + 4*t[26] + 10*t[27] - 4*t[28] + 6*t[29] + 
       2*t[30] + 4*t[31] - 4*t[33] + 2*t[34] + 24*t[35] + 20*t[36] + 
       36*t[37] - 10*t[38] - 4*t[39] - 7*t[40] - t[41] + t[42] - 
       (13*t[43])/2 - 35*t[44] - (13*t[45])/2 - 14*t[46] + 13*t[47] - 
       (197*t[48])/8 - t[49] - (65*t[50])/8 - (39*t[51])/8 + (177*t[52])/8 - 
       9*t[53] + (313*t[54])/8 + 2*t[58] + 5*t[59] + (95*t[60])/4 - 
       (803*t[61])/4 + (1119*t[62])/8 + (953*t[63])/8 + (173*t[64])/8 - 
       (67*t[65])/12 + (971*t[66])/12 + 12*t[69] - 28*t[73] - 28*t[74] + 
       8*t[75] - 26*t[76] - 4*t[77] - 4*t[78] - 32*t[79] - 98*t[80] + 
       10*t[81] - 36*t[82] + 14*t[83] - (69*t[84])/4 + (259*t[85])/4 + 
       19*t[86] - (107*t[87])/4 - (107*t[88])/8 + (529*t[89])/8 - 12*t[96] - 
       10*t[97] - 40*t[98] - 44*t[99] + 258*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-46*t[1])/3 + (227*t[2])/12 - (85*t[3])/3 + (94*t[4])/3 + 
       (499*t[5])/24 + (11*t[6])/12 + (809*t[7])/12 + (203*t[8])/3 + 
       (883*t[9])/24 - (2017*t[10])/24 + (677*t[11])/12 + (905*t[12])/12 + 
       (37*t[13])/9 + (791*t[14])/72 - (95*t[15])/48 + 2*t[24] + 
       (11*t[25])/3 + (44*t[26])/3 - (35*t[27])/3 - (8*t[28])/3 + 
       (2*t[29])/3 + (16*t[30])/3 - (34*t[31])/3 + 3*t[32] + 3*t[33] - 
       (11*t[34])/3 - 26*t[35] - (73*t[36])/3 + (14*t[37])/3 - (49*t[38])/3 - 
       (38*t[39])/3 - 10*t[40] + (5*t[41])/6 - (5*t[42])/6 + (41*t[43])/6 - 
       (26*t[44])/3 - (299*t[45])/12 + (5*t[46])/2 + (317*t[47])/6 + 
       (187*t[48])/12 - (73*t[49])/8 + (79*t[50])/12 - (191*t[51])/8 + 
       (5*t[52])/12 + (11*t[53])/24 - (323*t[54])/6 + 2*t[58] + 
       (13*t[59])/2 + (79*t[60])/6 - (173*t[61])/12 - (308*t[62])/3 - 
       (1247*t[63])/6 + (1295*t[64])/8 + (2491*t[65])/36 + (1975*t[66])/36 + 
       4*t[69] + (8*t[70])/3 - (8*t[71])/3 + (2*t[72])/3 - 4*t[73] + 
       (4*t[74])/3 + 34*t[75] - (29*t[76])/3 - (8*t[77])/3 + (11*t[78])/3 - 
       12*t[79] + (299*t[80])/3 - (29*t[81])/3 - 6*t[82] + 17*t[83] + 
       (383*t[84])/12 - (155*t[85])/12 + (1243*t[86])/6 - (116*t[87])/3 - 
       3*t[88] + (791*t[89])/12 + (4*t[95])/3 + (10*t[96])/3 + 2*t[97] - 
       136*t[98] + 116*t[99] + 313*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (-2*t[1] - (53*t[2])/2 + (393*t[3])/4 - 91*t[4] - (101*t[5])/16 - 
       (651*t[6])/4 + (2173*t[7])/8 - (2963*t[8])/8 + (2321*t[9])/16 - 
       (33*t[10])/8 - t[11]/8 - (443*t[12])/16 - (743*t[13])/6 - 
       (4651*t[14])/48 - (14459*t[15])/288 + 6*t[20] - 2*t[22] + 8*t[23] - 
       (97*t[28])/2 + 12*t[29] - (41*t[30])/2 - 2*t[31] + 25*t[32] - 
       34*t[33] + 2*t[34] + 50*t[35] + 4*t[36] + 8*t[37] - 2*t[38] - 
       14*t[39] + 12*t[40] + 8*t[43] + (71*t[44])/2 + 8*t[45] + t[46] - 
       10*t[47] - (443*t[48])/4 + 11*t[49] + (389*t[50])/4 - (23*t[51])/4 - 
       (389*t[52])/4 - 19*t[53] - (437*t[54])/4 - 19*t[59] - (31*t[60])/2 - 
       (1231*t[61])/4 - (2281*t[62])/8 + (589*t[63])/8 + (839*t[64])/8 - 
       (355*t[65])/4 + (1547*t[66])/12 + 8*t[69] - 8*t[70] + 8*t[71] + 
       4*t[72] + (7*t[73])/2 - 18*t[74] - (53*t[75])/2 - 4*t[76] - 20*t[77] - 
       56*t[78] - (3*t[79])/2 + 6*t[80] - 39*t[81] + 25*t[82] + 90*t[83] - 
       18*t[84] + (119*t[85])/2 + (665*t[86])/2 - (13*t[87])/2 + 
       (11*t[88])/4 - (565*t[89])/8 - 4*t[95] - 8*t[96] - 4*t[97] - 
       48*t[98] + 375*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*(15*t[1] + 2*t[2] + 44*t[3] + (121*t[4])/2 - 
       (365*t[5])/16 - (359*t[6])/4 + (89*t[7])/8 - (135*t[8])/8 - 
       (571*t[9])/16 + (513*t[10])/8 - (5*t[11])/8 - (327*t[12])/16 - 
       (195*t[13])/2 + (527*t[14])/48 - (2399*t[15])/32 - 24*t[25] + 
       4*t[26] + 4*t[27] - 26*t[28] - 2*t[29] - 22*t[31] + 4*t[34] + 
       20*t[35] + (29*t[36])/2 + 6*t[37] + 18*t[38] - 36*t[39] + 20*t[40] - 
       2*t[41] + 2*t[42] - 18*t[45] - 5*t[46] + 36*t[47] - (225*t[48])/4 - 
       (111*t[49])/4 + (95*t[50])/4 - (205*t[51])/8 - (111*t[52])/4 - 
       (29*t[53])/4 - (191*t[54])/4 - 19*t[59] - (31*t[60])/2 - 
       (1231*t[61])/4 - (2281*t[62])/8 + (589*t[63])/8 + (839*t[64])/8 - 
       (355*t[65])/4 + (1547*t[66])/12 + 8*t[69] - 8*t[70] + 8*t[71] + 
       4*t[72] + (7*t[73])/2 - 18*t[74] - (53*t[75])/2 - 4*t[76] - 20*t[77] - 
       56*t[78] - (3*t[79])/2 + 6*t[80] - 39*t[81] + 25*t[82] + 90*t[83] - 
       18*t[84] + (119*t[85])/2 + (665*t[86])/2 - (13*t[87])/2 + 
       (11*t[88])/4 - (565*t[89])/8 - 4*t[95] - 8*t[96] - 4*t[97] - 
       48*t[98] + 375*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-26*t[1])/3 - (221*t[2])/24 + (467*t[3])/6 - 
       (667*t[4])/8 + (3703*t[5])/24 - (599*t[6])/6 - (2467*t[7])/24 - 
       (117*t[8])/8 - (675*t[9])/4 - (5135*t[10])/48 - (610*t[11])/3 - 
       (1337*t[12])/48 - (185*t[13])/4 - (12539*t[14])/96 - 
       (3883*t[15])/144 - (8*t[18])/3 + 4*t[19] + 6*t[20] - (8*t[21])/3 + 
       8*t[23] + (46*t[24])/3 + (5*t[25])/3 - (16*t[26])/3 + (31*t[27])/3 - 
       10*t[28] - 8*t[29] - 2*t[30] + 4*t[31] - t[32]/3 + 5*t[33] + 
       (7*t[34])/3 + 6*t[35] - t[36]/2 - 8*t[37] - t[38] - 2*t[39] + 
       (46*t[40])/3 - (19*t[41])/6 + (11*t[42])/6 + (89*t[43])/12 - 
       (22*t[44])/3 - (151*t[45])/4 + t[46]/2 + (283*t[47])/6 + 
       (52*t[48])/3 - (107*t[49])/48 - (140*t[50])/3 + (179*t[51])/32 + 
       (104*t[52])/3 + (59*t[53])/48 + (755*t[54])/24 - 3*t[58] - 
       (77*t[59])/3 - (367*t[60])/2 - (1732*t[61])/3 + (4427*t[62])/24 + 
       (2773*t[63])/24 + 492*t[64] + (145*t[65])/4 + (4873*t[66])/18 + 
       16*t[69] + (16*t[70])/3 - (16*t[71])/3 + 3*t[72] - 19*t[73] - 
       (28*t[74])/3 + 20*t[75] + (134*t[76])/3 + (41*t[77])/3 - 
       (128*t[78])/3 - (7*t[79])/2 + (379*t[80])/3 - (2*t[81])/3 + 
       (193*t[82])/3 - 28*t[83] - (253*t[84])/3 - 22*t[85] + (22*t[86])/3 + 
       (248*t[87])/3 + (124*t[88])/3 + (713*t[89])/12 - 4*t[97] + 108*t[98] - 
       216*t[99] + 470*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*(8*t[1] + (33*t[2])/2 - (75*t[3])/4 - 
       (443*t[4])/8 + (1055*t[5])/16 - (217*t[6])/4 + (295*t[7])/4 - 
       80*t[8] + (655*t[9])/16 + (1143*t[10])/16 - (169*t[11])/8 + 
       (87*t[12])/2 - (1655*t[13])/72 + (1019*t[14])/96 - (269*t[15])/96 - 
       2*t[19] + 2*t[21] - 2*t[22] - 2*t[23] - 15*t[24] + 2*t[25] - 2*t[26] + 
       4*t[27] + 6*t[28] + (7*t[29])/2 + 2*t[31] + 22*t[32] + 3*t[33] - 
       16*t[34] - 12*t[35] + 16*t[36] + 4*t[37] + 2*t[38] + 12*t[39] - 
       (31*t[40])/2 + 4*t[41] - 4*t[42] + (95*t[43])/8 + (69*t[44])/4 + 
       (3*t[45])/2 + 2*t[46] + 12*t[47] - (103*t[48])/4 + (125*t[49])/16 + 
       (5*t[50])/4 - (145*t[51])/32 + (11*t[52])/4 + (131*t[53])/16 - 
       (115*t[54])/8 - 6*t[57] + (5*t[59])/2 - (487*t[60])/8 - 
       (253*t[61])/8 - (2203*t[62])/16 - (461*t[63])/16 - (1021*t[64])/16 - 
       (1565*t[65])/24 + (1213*t[66])/24 + 4*t[70] - 4*t[71] - 18*t[73] - 
       24*t[74] + 38*t[75] + 21*t[76] + 8*t[77] - 48*t[78] - 12*t[79] + 
       23*t[80] - 20*t[81] + 23*t[82] + 77*t[83] - (575*t[84])/8 - 
       (475*t[85])/8 + (13*t[86])/2 + (131*t[87])/8 + (771*t[88])/16 + 
       (183*t[89])/16 + 20*t[96] + 19*t[97] + 56*t[98] - 196*t[99] + 
       472*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((15*t[1])/2 - 28*t[2] + (25*t[3])/8 + (293*t[4])/4 + (1381*t[5])/16 - 
       (1255*t[6])/16 - (31*t[7])/8 - (341*t[8])/8 - (1599*t[9])/16 + 
       (533*t[10])/8 - (45*t[11])/16 - (469*t[12])/16 - (1207*t[13])/144 - 
       (2435*t[14])/48 - (145*t[15])/288 + 6*t[24] + 3*t[25] - 8*t[26] + 
       5*t[27] - 14*t[28] - 3*t[29] + 5*t[30] + 14*t[31] + 2*t[32] + 
       4*t[33] - 7*t[34] + 22*t[35] + 18*t[36] - 6*t[37] + 6*t[38] - t[39] + 
       (9*t[40])/2 + (7*t[41])/2 - (7*t[42])/2 + (21*t[43])/4 + (5*t[44])/2 - 
       (83*t[45])/4 + 20*t[46] + (87*t[47])/2 - (255*t[48])/16 + 
       (129*t[49])/4 - (51*t[50])/16 - (175*t[51])/16 - (221*t[52])/16 - 
       (101*t[53])/4 - (1117*t[54])/16 - t[58] + (5*t[59])/2 - 
       (487*t[60])/8 - (253*t[61])/8 - (2203*t[62])/16 - (461*t[63])/16 - 
       (1021*t[64])/16 - (1565*t[65])/24 + (1213*t[66])/24 + 4*t[70] - 
       4*t[71] - 18*t[73] - 24*t[74] + 38*t[75] + 21*t[76] + 8*t[77] - 
       48*t[78] - 12*t[79] + 23*t[80] - 20*t[81] + 23*t[82] + 77*t[83] - 
       (575*t[84])/8 - (475*t[85])/8 + (13*t[86])/2 + (131*t[87])/8 + 
       (771*t[88])/16 + (183*t[89])/16 + 20*t[96] + 19*t[97] + 56*t[98] - 
       196*t[99] + 472*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*(t[1] - (685*t[2])/8 + (783*t[3])/8 - 
       (327*t[4])/4 + (1561*t[5])/16 - (6217*t[6])/64 - (785*t[7])/16 - 
       (3395*t[8])/16 - (4833*t[9])/32 + (457*t[10])/4 - (15375*t[11])/64 - 
       (817*t[12])/8 - (4663*t[13])/72 - (43043*t[14])/192 + 
       (33893*t[15])/576 + 4*t[19] - 2*t[20] - 4*t[21] + 2*t[22] - 4*t[23] + 
       8*t[24] - 3*t[25] + t[27] + t[28]/2 + (53*t[29])/8 + (45*t[30])/4 - 
       2*t[31] - 23*t[32] - 2*t[33] - 16*t[34] - 5*t[35] - (47*t[36])/2 - 
       6*t[37] + 7*t[38] - (111*t[39])/8 + (177*t[40])/4 - 9*t[41] + 
       9*t[42] + (49*t[43])/2 + (119*t[44])/8 + (97*t[45])/4 - (59*t[46])/4 - 
       (111*t[47])/2 + (733*t[48])/64 - (41*t[49])/4 + (341*t[50])/64 + 
       (191*t[51])/8 - (4053*t[52])/64 + (21*t[53])/4 + (1247*t[54])/64 - 
       3*t[58] + 11*t[59] - (6299*t[60])/32 - (5787*t[61])/32 + 
       (12225*t[62])/64 + (6479*t[63])/64 + (4849*t[64])/64 + 
       (4079*t[65])/32 + (47663*t[66])/96 + 8*t[69] - 8*t[70] + 8*t[71] - 
       (85*t[73])/2 + 8*t[74] + (155*t[75])/2 + (39*t[76])/2 + (49*t[77])/2 - 
       11*t[78] - (45*t[79])/2 + 111*t[80] - (39*t[81])/4 + 35*t[82] + 
       (131*t[83])/2 - (111*t[84])/32 + (177*t[85])/32 + 28*t[86] + 
       (2985*t[87])/32 + (809*t[88])/64 + (2535*t[89])/64 + 12*t[95] + 
       2*t[96] - 12*t[97] - 73*t[98] + 29*t[99] + (971*t[100])/2)*
      \[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      (-18*t[1] - (3*t[2])/8 - (301*t[3])/4 - (1179*t[4])/32 - (445*t[5])/4 + 
       (769*t[6])/8 + (425*t[7])/8 + (517*t[8])/8 + (391*t[9])/2 - 
       (2097*t[10])/64 - (545*t[11])/4 + (7467*t[12])/64 - 
       (32443*t[13])/288 + (19*t[14])/128 + (625*t[15])/576 - 2*t[19] - 
       2*t[20] + 2*t[21] - 6*t[22] - 2*t[23] - 37*t[24] - 22*t[25] + 
       39*t[26] - 12*t[27] - 15*t[28] - (31*t[29])/2 - 14*t[30] - 6*t[31] - 
       23*t[33] + 24*t[34] - 15*t[35] - 34*t[36] + 6*t[37] - 25*t[38] + 
       (13*t[39])/2 - (97*t[40])/2 + 10*t[41] - 10*t[42] - (25*t[43])/8 - 
       (131*t[44])/4 - 76*t[45] + (7*t[46])/4 + 98*t[47] - (13*t[48])/4 + 
       (285*t[49])/64 + (219*t[50])/4 - (3049*t[51])/128 + (45*t[52])/4 + 
       (931*t[53])/64 - (113*t[54])/32 - 10*t[57] + 7*t[58] + 11*t[59] - 
       (6299*t[60])/32 - (5787*t[61])/32 + (12225*t[62])/64 + 
       (6479*t[63])/64 + (4849*t[64])/64 + (4079*t[65])/32 + 
       (47663*t[66])/96 + 8*t[69] - 8*t[70] + 8*t[71] - (85*t[73])/2 + 
       8*t[74] + (155*t[75])/2 + (39*t[76])/2 + (49*t[77])/2 - 11*t[78] - 
       (45*t[79])/2 + 111*t[80] - (39*t[81])/4 + 35*t[82] + (131*t[83])/2 - 
       (111*t[84])/32 + (177*t[85])/32 + 28*t[86] + (2985*t[87])/32 + 
       (809*t[88])/64 + (2535*t[89])/64 + 12*t[95] + 2*t[96] - 12*t[97] - 
       73*t[98] + 29*t[99] + (971*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*(5*t[1] - (17*t[2])/2 + 
       (93*t[3])/4 + 264*t[4] + (735*t[5])/8 - (445*t[6])/8 + (171*t[7])/4 - 
       (577*t[8])/4 - (937*t[9])/8 + (225*t[10])/4 + (581*t[11])/8 - 
       (687*t[12])/8 + (1925*t[13])/24 + (110*t[14])/3 - (3395*t[15])/144 - 
       4*t[24] + 34*t[25] - 42*t[26] + 6*t[27] - 20*t[28] + 6*t[29] - 
       6*t[30] + 8*t[31] - 2*t[32] - 2*t[33] - 8*t[35] - 42*t[36] - 
       16*t[37] + 8*t[38] - 24*t[39] + 9*t[40] + (15*t[43])/2 + 15*t[44] + 
       17*t[45] - 63*t[46] - 36*t[47] - (357*t[48])/8 + 53*t[49] - 
       (161*t[50])/8 + (29*t[51])/2 - (95*t[52])/8 - 101*t[53] - 
       (1075*t[54])/8 + t[59] + (993*t[60])/4 + (63*t[61])/4 - 
       (1723*t[62])/8 - (117*t[63])/8 - (2689*t[64])/8 - (1381*t[65])/12 - 
       (577*t[66])/4 + 16*t[70] - 16*t[71] + 16*t[73] + 8*t[74] - 12*t[75] - 
       30*t[76] + 14*t[77] - 38*t[78] - 12*t[79] - 16*t[80] - 34*t[81] - 
       38*t[82] - 64*t[83] + (37*t[84])/4 + (89*t[85])/4 + 92*t[86] - 
       (865*t[87])/4 - (289*t[88])/8 - (145*t[89])/8 - 32*t[95] - 4*t[96] + 
       16*t[97] - 16*t[98] - 144*t[99] + 518*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*(11*t[1] + (85*t[2])/2 - 
       (329*t[3])/4 + (35*t[4])/4 - (845*t[5])/8 + (37*t[6])/4 + 
       (319*t[7])/4 + (929*t[8])/4 + (2445*t[9])/8 + (963*t[10])/8 + 
       (39*t[11])/4 + (293*t[12])/4 - (5983*t[13])/72 + (9113*t[14])/48 + 
       (673*t[15])/144 - 8*t[20] - 6*t[24] - 12*t[27] + t[29] - 50*t[30] + 
       12*t[31] + 62*t[32] - 8*t[33] + 2*t[34] - 16*t[35] + 2*t[36] + 
       8*t[37] + 2*t[38] + 8*t[39] - 17*t[40] + 4*t[41] - 4*t[42] - 
       (9*t[43])/2 - 75*t[44] + t[45] - t[46] + 16*t[47] - (17*t[48])/2 + 
       (31*t[49])/8 + (19*t[50])/2 - (119*t[51])/16 + (41*t[52])/2 + 
       t[53]/8 + (57*t[54])/4 + t[59] + (993*t[60])/4 + (63*t[61])/4 - 
       (1723*t[62])/8 - (117*t[63])/8 - (2689*t[64])/8 - (1381*t[65])/12 - 
       (577*t[66])/4 + 16*t[70] - 16*t[71] + 16*t[73] + 8*t[74] - 12*t[75] - 
       30*t[76] + 14*t[77] - 38*t[78] - 12*t[79] - 16*t[80] - 34*t[81] - 
       38*t[82] - 64*t[83] + (37*t[84])/4 + (89*t[85])/4 + 92*t[86] - 
       (865*t[87])/4 - (289*t[88])/8 - (145*t[89])/8 - 32*t[95] - 4*t[96] + 
       16*t[97] - 16*t[98] - 144*t[99] + 518*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*(5*t[1] + 19*t[2] + 
       (667*t[3])/4 - (527*t[4])/4 + 154*t[5] - (21*t[6])/8 - 145*t[7] - 
       (123*t[8])/2 - (1109*t[9])/4 - (295*t[10])/8 - (3643*t[11])/8 - 
       (863*t[12])/8 - (5383*t[13])/36 - (5999*t[14])/16 - (4963*t[15])/72 - 
       4*t[18] - 12*t[19] + 10*t[21] - 4*t[22] - 2*t[23] + 18*t[24] - 
       8*t[25] + 7*t[26] + 4*t[27] + 4*t[28] - 9*t[29] - 2*t[30] - 8*t[31] + 
       10*t[32] + 4*t[33] - 14*t[34] - 16*t[35] + 16*t[36] + 8*t[37] - 
       2*t[38] + 4*t[39] + 20*t[40] - 22*t[41] + 12*t[42] + (11*t[43])/2 + 
       t[44]/2 - 27*t[45] + 2*t[46] + 54*t[47] + (693*t[48])/8 - 
       (233*t[49])/8 - (455*t[50])/8 + (403*t[51])/16 + (215*t[52])/8 + 
       (217*t[53])/8 + (209*t[54])/8 + 8*t[57] - t[58] + 2*t[59] - 
       352*t[60] - 642*t[61] + 270*t[62] - 196*t[63] + 246*t[64] + 
       (554*t[65])/3 + 592*t[66] + 8*t[70] - 8*t[71] - 4*t[76] - 4*t[77] - 
       44*t[78] + 104*t[80] - 36*t[81] + 52*t[82] - 4*t[83] - 62*t[84] - 
       24*t[85] + 80*t[86] + 252*t[87] + 126*t[88] + 120*t[89] - 144*t[98] - 
       12*t[99] + 750*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*(-12*t[1] + 29*t[2] + (41*t[3])/4 - 
       (529*t[4])/4 + 95*t[5] - (283*t[6])/8 - 87*t[7] + (159*t[8])/2 - 
       (687*t[9])/4 + (223*t[10])/8 - (973*t[11])/8 + (271*t[12])/8 - 
       (79*t[13])/36 - (9755*t[14])/48 + (3067*t[15])/72 - 2*t[19] + 
       2*t[21] - 2*t[23] - 22*t[24] - 16*t[25] + 17*t[26] + 20*t[27] - 
       7*t[29] - 2*t[30] + 8*t[31] - 6*t[32] + 4*t[33] - 4*t[34] + 16*t[35] - 
       8*t[37] - 2*t[38] - 4*t[39] - 16*t[40] + 13*t[41] - 21*t[42] + 
       (65*t[43])/2 + (23*t[44])/2 + 7*t[45] + 34*t[46] - 14*t[47] - 
       (349*t[48])/8 - (559*t[49])/8 + (207*t[50])/8 + (101*t[51])/16 + 
       (81*t[52])/8 + (575*t[53])/8 - (89*t[54])/8 - 8*t[57] + 5*t[58] + 
       2*t[59] - 352*t[60] - 642*t[61] + 270*t[62] - 196*t[63] + 246*t[64] + 
       (554*t[65])/3 + 592*t[66] + 8*t[70] - 8*t[71] - 4*t[76] - 4*t[77] - 
       44*t[78] + 104*t[80] - 36*t[81] + 52*t[82] - 4*t[83] - 62*t[84] - 
       24*t[85] + 80*t[86] + 252*t[87] + 126*t[88] + 120*t[89] - 144*t[98] - 
       12*t[99] + 750*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-43*t[1])/3 - (763*t[2])/6 + (2431*t[3])/12 - 
       9*t[4] + (933*t[5])/8 - (1325*t[6])/48 - (357*t[7])/2 - (325*t[8])/6 - 
       (4681*t[9])/12 + (187*t[10])/12 - (6787*t[11])/48 - (1357*t[12])/24 - 
       (8509*t[13])/216 - (50305*t[14])/144 - (6263*t[15])/72 - 
       (16*t[19])/3 + 4*t[20] + 4*t[21] + 6*t[22] - (4*t[23])/3 - 2*t[24] - 
       2*t[25] + 6*t[26] + (4*t[27])/3 + 8*t[28] + (77*t[29])/6 + 
       (95*t[30])/3 - (14*t[31])/3 - 34*t[32] + 10*t[33] + 20*t[34] - 
       16*t[35] + (92*t[37])/3 - (13*t[38])/3 + (13*t[39])/6 - (4*t[40])/3 + 
       (8*t[41])/3 - (8*t[42])/3 - (29*t[43])/2 + (185*t[44])/6 + 
       (11*t[45])/3 - 2*t[46] - (26*t[47])/3 + (447*t[48])/16 - 
       (119*t[49])/6 - (2779*t[50])/48 + (49*t[51])/12 + (1115*t[52])/48 + 
       (57*t[53])/2 - (1265*t[54])/48 + 4*t[57] - (20*t[59])/3 - 
       (6743*t[60])/24 - (9367*t[61])/24 + (9491*t[62])/16 + 
       (12967*t[63])/48 + (5269*t[64])/48 + (6251*t[65])/24 + 
       (54571*t[66])/72 + 4*t[69] - (16*t[70])/3 + (16*t[71])/3 + 
       (4*t[72])/3 - 18*t[73] - (8*t[74])/3 - 8*t[75] - 12*t[76] + 6*t[77] - 
       (44*t[78])/3 + 66*t[79] - 104*t[80] - 82*t[81] + 149*t[82] - 
       74*t[83] - (523*t[84])/24 - (287*t[85])/24 - 300*t[86] + 
       (4585*t[87])/24 + (2969*t[88])/48 + (4147*t[89])/48 - (8*t[95])/3 - 
       (38*t[96])/3 - (62*t[97])/3 - 4*t[98] - 144*t[99] + 104*t[100] - 
       48*t[101])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((49*t[1])/3 - (23*t[2])/3 + (683*t[3])/12 - (2477*t[4])/8 + 
       (3121*t[5])/24 + (491*t[6])/12 - (1741*t[7])/12 + (2593*t[8])/12 - 
       (1081*t[9])/24 + (2445*t[10])/16 - (3559*t[11])/12 + (135*t[12])/16 - 
       (12871*t[13])/108 - (55231*t[14])/288 + (5531*t[15])/72 - 4*t[24] - 
       (22*t[25])/3 - (4*t[26])/3 + (170*t[27])/3 - (58*t[28])/3 + 
       (70*t[29])/3 - (52*t[30])/3 - (74*t[31])/3 + 4*t[32] - 24*t[33] - 
       (4*t[34])/3 + 32*t[35] + (2*t[36])/3 + (122*t[37])/3 + 9*t[38] + 
       (79*t[39])/3 - 4*t[40] - (4*t[41])/3 + (4*t[42])/3 + (73*t[43])/6 - 
       (118*t[44])/3 + (61*t[45])/3 + 14*t[46] - (158*t[47])/3 + 
       (171*t[48])/2 - (1749*t[49])/16 - (3*t[50])/2 - (167*t[51])/32 + 
       (161*t[52])/6 + (4703*t[53])/48 + (1597*t[54])/8 + 2*t[58] - 
       (20*t[59])/3 - (6743*t[60])/24 - (9367*t[61])/24 + (9491*t[62])/16 + 
       (12967*t[63])/48 + (5269*t[64])/48 + (6251*t[65])/24 + 
       (54571*t[66])/72 + 4*t[69] - (16*t[70])/3 + (16*t[71])/3 + 
       (4*t[72])/3 - 18*t[73] - (8*t[74])/3 - 8*t[75] - 12*t[76] + 6*t[77] - 
       (44*t[78])/3 + 66*t[79] - 104*t[80] - 82*t[81] + 149*t[82] - 
       74*t[83] - (523*t[84])/24 - (287*t[85])/24 - 300*t[86] + 
       (4585*t[87])/24 + (2969*t[88])/48 + (4147*t[89])/48 - (8*t[95])/3 - 
       (38*t[96])/3 - (62*t[97])/3 - 4*t[98] - 144*t[99] + 104*t[100] - 
       48*t[101])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((29*t[1])/6 - (737*t[2])/12 + (317*t[3])/8 - 
       (281*t[4])/12 + (97*t[5])/16 - (67*t[6])/8 - (997*t[7])/8 - 
       (1195*t[8])/24 - (4787*t[9])/48 + (103*t[10])/12 - (1073*t[11])/8 - 
       (2617*t[12])/48 - (18365*t[13])/432 - 66*t[14] + (1621*t[15])/288 - 
       2*t[24] + 2*t[25] - 14*t[26] - (22*t[27])/3 - (22*t[28])/3 + 
       (65*t[29])/6 - (40*t[30])/3 + (94*t[31])/3 - 5*t[32] + 3*t[33] + 
       (8*t[34])/3 + 40*t[35] - 21*t[36] - 16*t[37] + (35*t[38])/3 - 
       (27*t[39])/2 + (29*t[40])/2 - (7*t[41])/3 + (7*t[42])/3 - 
       (13*t[43])/12 - (100*t[44])/3 + (11*t[45])/2 - (9*t[46])/2 - 
       12*t[47] + (49*t[48])/12 - (9*t[49])/8 - (229*t[50])/6 + 
       (139*t[51])/16 + (137*t[52])/6 - (149*t[53])/24 + (134*t[54])/3 - 
       4*t[58] - (46*t[59])/3 - (77*t[60])/4 - (381*t[61])/4 + 
       (1025*t[62])/24 + (4079*t[63])/24 + (3187*t[64])/24 + 
       (5077*t[65])/36 + (10937*t[66])/36 - 8*t[69] - (56*t[72])/3 + 
       8*t[73] - 4*t[74] + 8*t[75] - (80*t[76])/3 + (73*t[77])/3 + 
       (46*t[78])/3 - 18*t[79] - (76*t[80])/3 - (146*t[81])/3 + 5*t[82] + 
       40*t[83] - (182*t[84])/3 + (122*t[85])/3 - (154*t[86])/3 - 
       (155*t[87])/6 - (155*t[88])/12 + (1697*t[89])/24 - 14*t[96] + 
       (8*t[97])/3 + 16*t[98] - 4*t[99] + 94*t[100] + 24*t[101])*\[Zeta][2] + 
     HPL[{0, 1, 1}, 1 - v]*((-72*t[1])/5 + (43*t[2])/5 + (109*t[3])/2 - 
       (13*t[4])/5 + (112*t[5])/5 - (339*t[6])/5 + (222*t[7])/5 - 
       (42*t[8])/5 - 55*t[9] - (1563*t[10])/10 + (489*t[11])/5 - 
       (893*t[12])/10 + (1373*t[13])/45 - (61*t[14])/20 - (5639*t[15])/60 + 
       (32*t[16])/5 - 16*t[24] - (52*t[25])/5 - (28*t[26])/5 - (36*t[27])/5 - 
       (128*t[28])/5 - (42*t[29])/5 + 20*t[32] - 28*t[33] + 8*t[34] - 
       28*t[35] + (156*t[36])/5 - (12*t[37])/5 + 16*t[38] - (24*t[39])/5 - 
       (48*t[40])/5 + 2*t[41] - 2*t[42] - 2*t[43] - 17*t[44] + (8*t[45])/5 - 
       (76*t[46])/5 + (104*t[47])/5 - (179*t[48])/5 - (107*t[49])/10 + 
       (233*t[50])/5 + (7*t[51])/20 - (233*t[52])/5 + (27*t[53])/10 - 
       (451*t[54])/5 - 16*t[59] - (99*t[60])/5 - 112*t[61] - (673*t[62])/5 - 
       (339*t[63])/5 + 123*t[64] - (267*t[65])/5 - (1333*t[66])/15 - 
       (56*t[68])/5 - (24*t[69])/5 - (24*t[72])/5 + (64*t[74])/5 + 
       (24*t[75])/5 - (52*t[77])/5 - (144*t[79])/5 - (56*t[80])/5 - 
       38*t[81] + 66*t[82] + (12*t[83])/5 - (39*t[84])/5 - (58*t[85])/5 + 
       (232*t[86])/5 + 4*t[87] + 2*t[88] - (103*t[89])/10 - 8*t[95] + 
       (48*t[99])/5 - (114*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{0, 1, 1}, 1 - w]*(6*t[1] + (326*t[2])/5 + (106*t[3])/5 - 
       (351*t[4])/5 + (202*t[5])/5 - (247*t[6])/2 + (147*t[7])/5 + 51*t[8] + 
       6*t[9] - (61*t[10])/5 - (103*t[11])/10 - (312*t[12])/5 - 
       (1777*t[13])/18 + (4357*t[14])/60 + (389*t[15])/5 + (28*t[17])/5 - 
       (64*t[18])/5 - (24*t[20])/5 - (56*t[22])/5 + (164*t[24])/5 - 
       12*t[25] + 8*t[26] + (292*t[27])/5 + (176*t[28])/5 - (8*t[29])/5 + 
       (36*t[30])/5 - (24*t[31])/5 - (48*t[32])/5 + (52*t[33])/5 + 
       (92*t[35])/5 + (208*t[36])/5 + (12*t[37])/5 + 4*t[38] + 
       (244*t[39])/5 + 20*t[40] - (44*t[41])/5 + (44*t[42])/5 - 
       (16*t[43])/5 + (24*t[44])/5 + 4*t[45] + (128*t[46])/5 - 
       (176*t[47])/5 + (243*t[48])/10 + (9*t[49])/5 - (321*t[50])/10 - 
       (61*t[51])/4 + (321*t[52])/10 - (9*t[53])/5 + (663*t[54])/10 - 
       (8*t[55])/5 - (16*t[56])/5 + 16*t[57] - 16*t[59] - (99*t[60])/5 - 
       112*t[61] - (673*t[62])/5 - (339*t[63])/5 + 123*t[64] - 
       (267*t[65])/5 - (1333*t[66])/15 - (56*t[68])/5 - (24*t[69])/5 - 
       (24*t[72])/5 + (64*t[74])/5 + (24*t[75])/5 - (52*t[77])/5 - 
       (144*t[79])/5 - (56*t[80])/5 - 38*t[81] + 66*t[82] + (12*t[83])/5 - 
       (39*t[84])/5 - (58*t[85])/5 + (232*t[86])/5 + 4*t[87] + 2*t[88] - 
       (103*t[89])/10 - 8*t[95] + (48*t[99])/5 - (114*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      (-6*t[1] - (11*t[2])/5 - (31*t[3])/5 - 7*t[4] - (181*t[5])/5 + 
       (109*t[6])/10 + 4*t[7] + 14*t[8] + 79*t[9] + (121*t[10])/5 - 
       (217*t[11])/10 + (219*t[12])/5 + (1099*t[13])/90 + (493*t[14])/30 - 
       (299*t[15])/15 - (8*t[16])/5 + (16*t[19])/5 - 4*t[24] + (78*t[25])/5 - 
       (18*t[26])/5 - (14*t[27])/5 - (48*t[28])/5 - 4*t[29] - (48*t[30])/5 - 
       (36*t[31])/5 - (44*t[32])/5 + (24*t[33])/5 + (24*t[34])/5 + 
       (92*t[35])/5 + 8*t[36] + (56*t[37])/5 - (72*t[38])/5 - (44*t[39])/5 + 
       (34*t[40])/5 - (12*t[41])/5 + (12*t[42])/5 + (86*t[44])/5 - 
       (28*t[45])/5 - (42*t[46])/5 + (12*t[47])/5 + (33*t[48])/10 - 
       (13*t[49])/5 - (279*t[50])/10 - (7*t[51])/5 + (327*t[52])/10 - 
       3*t[53] + (403*t[54])/10 + (48*t[59])/5 + (513*t[60])/5 + 
       (187*t[61])/5 + (198*t[62])/5 + (434*t[63])/5 - (331*t[64])/10 + 
       (659*t[65])/15 - (1129*t[66])/15 + (16*t[68])/5 + (12*t[69])/5 + 
       (36*t[72])/5 - (72*t[73])/5 - 20*t[74] - 12*t[75] - (144*t[76])/5 - 
       (68*t[77])/5 + (148*t[78])/5 + 28*t[79] - (92*t[80])/5 + 
       (118*t[81])/5 - 8*t[82] + (188*t[83])/5 + (186*t[84])/5 + 47*t[85] + 
       (644*t[86])/5 - (209*t[87])/5 - (209*t[88])/10 - (353*t[89])/10 - 
       (72*t[96])/5 - (48*t[97])/5 - 144*t[98] + (516*t[99])/5 - 
       (102*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-24*t[1])/5 - (299*t[2])/5 + 9*t[3] + (184*t[4])/5 - (444*t[5])/5 + 
       (44*t[6])/5 + (218*t[7])/5 - 6*t[8] + 41*t[9] - 78*t[10] + 91*t[11] + 
       (191*t[12])/5 + (2537*t[13])/45 - (473*t[14])/15 - (259*t[15])/5 - 
       (8*t[17])/5 + (16*t[18])/5 + (12*t[20])/5 + (8*t[22])/5 - 
       (66*t[24])/5 - (24*t[27])/5 - (104*t[28])/5 + (4*t[29])/5 + 
       (56*t[30])/5 - (24*t[31])/5 + 8*t[32] - (26*t[33])/5 + (24*t[34])/5 - 
       4*t[35] - (152*t[36])/5 + (44*t[37])/5 - (12*t[38])/5 - (64*t[39])/5 - 
       4*t[40] + 4*t[41] - 4*t[42] + (2*t[43])/5 + (36*t[44])/5 - 
       (16*t[46])/5 + (48*t[47])/5 - (159*t[48])/5 - (88*t[49])/5 + 
       (189*t[50])/5 + (37*t[51])/5 - 33*t[52] + 8*t[53] - (157*t[54])/5 + 
       (4*t[55])/5 + (4*t[56])/5 - 4*t[57] + (48*t[59])/5 + (513*t[60])/5 + 
       (187*t[61])/5 + (198*t[62])/5 + (434*t[63])/5 - (331*t[64])/10 + 
       (659*t[65])/15 - (1129*t[66])/15 + (16*t[68])/5 + (12*t[69])/5 + 
       (36*t[72])/5 - (72*t[73])/5 - 20*t[74] - 12*t[75] - (144*t[76])/5 - 
       (68*t[77])/5 + (148*t[78])/5 + 28*t[79] - (92*t[80])/5 + 
       (118*t[81])/5 - 8*t[82] + (188*t[83])/5 + (186*t[84])/5 + 47*t[85] + 
       (644*t[86])/5 - (209*t[87])/5 - (209*t[88])/10 - (353*t[89])/10 - 
       (72*t[96])/5 - (48*t[97])/5 - 144*t[98] + (516*t[99])/5 - 
       (102*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - w]^3*
      ((-136*t[2])/5 - (313*t[3])/30 + (129*t[4])/5 - (27*t[5])/2 + 
       (29*t[6])/5 + (26*t[7])/5 + (298*t[8])/15 + (121*t[9])/30 - 
       (20*t[10])/3 + (1241*t[11])/30 - (169*t[12])/30 + (943*t[13])/54 + 
       (518*t[14])/45 - (227*t[15])/90 - (12*t[20])/5 - (8*t[28])/5 - 
       (12*t[29])/5 + (12*t[30])/5 + (4*t[33])/5 - (24*t[35])/5 - 6*t[36] + 
       (10*t[37])/3 + (5*t[41])/3 - (5*t[42])/3 + (12*t[44])/5 + 
       (2*t[47])/3 + (19*t[48])/15 + (29*t[49])/5 - (37*t[50])/15 - 
       (29*t[51])/10 + (37*t[52])/15 - (29*t[53])/5 - (137*t[54])/15 + 
       (14*t[59])/5 + (178*t[60])/5 + (279*t[61])/5 - (101*t[62])/30 + 
       (119*t[63])/10 - (313*t[64])/15 + (247*t[65])/18 - (4627*t[66])/90 - 
       (2*t[67])/15 - (12*t[73])/5 - (22*t[74])/15 - (36*t[75])/5 - 
       (8*t[78])/3 + (6*t[79])/5 - (20*t[80])/3 + (37*t[81])/15 - 
       (37*t[82])/15 + (39*t[83])/5 + (59*t[84])/10 + (52*t[85])/5 + 
       (26*t[86])/5 - (67*t[87])/5 - (67*t[88])/10 + (41*t[89])/5 - 
       10*t[99] - (73*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - v]^3*
      ((-5*t[1])/3 - (71*t[3])/10 + (118*t[4])/15 - (145*t[5])/6 - 
       (27*t[6])/10 + (42*t[7])/5 + (113*t[8])/5 + (469*t[9])/15 + 
       (19*t[10])/5 + (367*t[11])/30 + (169*t[12])/15 + (1829*t[13])/108 + 
       (3757*t[14])/180 - (847*t[15])/180 + (2*t[16])/15 + (128*t[25])/15 - 
       (26*t[26])/5 - 2*t[28] + (8*t[36])/3 + (10*t[37])/3 - (10*t[38])/3 - 
       2*t[39] - (11*t[46])/3 + (13*t[48])/10 - (73*t[49])/15 - 
       (129*t[50])/10 - (87*t[51])/20 + (129*t[52])/10 + (73*t[53])/15 + 
       (141*t[54])/10 + (14*t[59])/5 + (178*t[60])/5 + (279*t[61])/5 - 
       (101*t[62])/30 + (119*t[63])/10 - (313*t[64])/15 + (247*t[65])/18 - 
       (4627*t[66])/90 - (2*t[67])/15 - (12*t[73])/5 - (22*t[74])/15 - 
       (36*t[75])/5 - (8*t[78])/3 + (6*t[79])/5 - (20*t[80])/3 + 
       (37*t[81])/15 - (37*t[82])/15 + (39*t[83])/5 + (59*t[84])/10 + 
       (52*t[85])/5 + (26*t[86])/5 - (67*t[87])/5 - (67*t[88])/10 + 
       (41*t[89])/5 - 10*t[99] - (73*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{0, 0, 1}, 1 - w]*((32*t[1])/5 - (11*t[2])/5 + (79*t[3])/5 - 
       (452*t[4])/5 - (39*t[5])/5 - (83*t[6])/5 + (179*t[7])/5 + 
       (119*t[8])/5 + (6*t[9])/5 - (136*t[10])/5 + (64*t[11])/5 + 
       (172*t[12])/5 + (151*t[13])/10 + (77*t[14])/60 - (87*t[15])/10 - 
       (4*t[16])/5 - (48*t[19])/5 + 4*t[24] + (18*t[25])/5 - (42*t[26])/5 - 
       (18*t[27])/5 - 20*t[28] + (28*t[29])/5 - (36*t[31])/5 + 4*t[32] + 
       (8*t[35])/5 - (56*t[36])/5 + (36*t[37])/5 + 8*t[38] - (46*t[39])/5 + 
       4*t[44] - (12*t[45])/5 + (56*t[46])/5 + (44*t[47])/5 - (48*t[48])/5 - 
       (44*t[49])/5 - (2*t[50])/5 + (25*t[51])/4 + (2*t[52])/5 + 
       (102*t[53])/5 + (59*t[54])/5 - (12*t[59])/5 - (306*t[60])/5 + 
       (193*t[61])/5 - (99*t[62])/5 + (89*t[63])/5 + (1471*t[64])/10 - 
       (197*t[65])/15 - (989*t[66])/15 + (16*t[68])/5 - (24*t[69])/5 - 
       (24*t[72])/5 + 16*t[74] - (36*t[75])/5 - 4*t[77] + (16*t[78])/5 - 
       (36*t[80])/5 + 6*t[81] - (32*t[82])/5 - (12*t[83])/5 - (102*t[84])/5 - 
       (7*t[85])/5 + (288*t[86])/5 + (163*t[87])/5 + (23*t[88])/2 - 
       (169*t[89])/5 + (24*t[95])/5 - (72*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{0, 0, 1}, 1 - v]*((214*t[2])/5 + (373*t[3])/10 + (7*t[4])/5 + 
       (137*t[5])/5 - (12*t[6])/5 - (32*t[7])/5 + (268*t[8])/5 - 
       (227*t[9])/5 - (279*t[10])/10 + 44*t[11] - (33*t[12])/10 - 
       (2*t[13])/5 - (481*t[14])/20 - (179*t[15])/60 - (8*t[17])/5 - 
       (16*t[18])/5 - (24*t[20])/5 + (4*t[22])/5 + 10*t[24] - 4*t[25] + 
       4*t[26] + (12*t[27])/5 + (16*t[28])/5 + (54*t[29])/5 - (24*t[30])/5 + 
       (12*t[31])/5 - (6*t[32])/5 - (6*t[33])/5 - (24*t[34])/5 + 
       (16*t[35])/5 + (8*t[36])/5 + (24*t[37])/5 - (8*t[39])/5 + 4*t[40] + 
       (2*t[41])/5 - (2*t[42])/5 + (12*t[43])/5 + (87*t[44])/5 + 
       (8*t[47])/5 + (11*t[48])/5 + (13*t[49])/2 - 19*t[50] - t[51]/20 + 
       19*t[52] - (13*t[53])/2 - (29*t[54])/5 + (8*t[55])/5 - (4*t[56])/5 + 
       4*t[57] - (12*t[59])/5 - (306*t[60])/5 + (193*t[61])/5 - 
       (99*t[62])/5 + (89*t[63])/5 + (1471*t[64])/10 - (197*t[65])/15 - 
       (989*t[66])/15 + (16*t[68])/5 - (24*t[69])/5 - (24*t[72])/5 + 
       16*t[74] - (36*t[75])/5 - 4*t[77] + (16*t[78])/5 - (36*t[80])/5 + 
       6*t[81] - (32*t[82])/5 - (12*t[83])/5 - (102*t[84])/5 - (7*t[85])/5 + 
       (288*t[86])/5 + (163*t[87])/5 + (23*t[88])/2 - (169*t[89])/5 + 
       (24*t[95])/5 - (72*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*(t[1] + 3*t[2] + (39*t[3])/5 + 
       (671*t[5])/20 - (73*t[6])/4 - (42*t[7])/5 + (64*t[8])/5 - 
       (667*t[9])/20 - (166*t[10])/5 + (309*t[11])/20 - (237*t[12])/20 - 
       (184*t[13])/15 + (188*t[14])/15 + (83*t[15])/120 - (24*t[25])/5 + 
       (14*t[26])/5 + 8*t[27] + (8*t[28])/5 - (12*t[31])/5 + (32*t[35])/5 + 
       (24*t[36])/5 + 2*t[37] + 2*t[38] + (8*t[39])/5 + (42*t[40])/5 - 
       (22*t[45])/5 + 4*t[46] + (44*t[47])/5 + (167*t[48])/20 + 
       (58*t[49])/5 + (71*t[50])/20 - (5*t[51])/2 - (71*t[52])/20 - 
       (58*t[53])/5 - (19*t[54])/4 - 2*t[59] - (167*t[60])/10 - 
       (213*t[61])/10 + (43*t[62])/4 + (9*t[63])/4 + (33*t[64])/20 + 
       (19*t[65])/3 + (173*t[66])/15 + (12*t[73])/5 + (12*t[74])/5 + 
       (24*t[75])/5 - (42*t[77])/5 - (12*t[78])/5 + (56*t[79])/5 + 
       (24*t[80])/5 - (39*t[81])/5 + (59*t[82])/5 - (44*t[83])/5 - 
       (3*t[84])/5 - (107*t[85])/10 + (12*t[86])/5 + (143*t[87])/10 + 
       (143*t[88])/20 - (41*t[89])/4 - 12*t[99] - (54*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((367*t[2])/10 + (94*t[3])/5 - (403*t[4])/10 + (125*t[5])/4 - 
       (62*t[6])/5 + 33*t[7] - (53*t[8])/5 + (149*t[9])/20 - (333*t[10])/20 - 
       (124*t[11])/5 + (11*t[12])/5 - (209*t[13])/30 - (31*t[14])/40 - 
       (461*t[15])/40 + 4*t[24] - (8*t[28])/5 - (12*t[29])/5 - (12*t[30])/5 + 
       (42*t[32])/5 - (34*t[33])/5 - (12*t[35])/5 + (102*t[36])/5 + 2*t[37] - 
       t[41] + t[42] + (11*t[43])/5 - (2*t[44])/5 - 2*t[46] + 4*t[47] - 
       7*t[48] - (263*t[49])/20 + (41*t[50])/5 + (203*t[51])/40 - 
       (41*t[52])/5 + (263*t[53])/20 + (37*t[54])/10 - 2*t[59] - 
       (167*t[60])/10 - (213*t[61])/10 + (43*t[62])/4 + (9*t[63])/4 + 
       (33*t[64])/20 + (19*t[65])/3 + (173*t[66])/15 + (12*t[73])/5 + 
       (12*t[74])/5 + (24*t[75])/5 - (42*t[77])/5 - (12*t[78])/5 + 
       (56*t[79])/5 + (24*t[80])/5 - (39*t[81])/5 + (59*t[82])/5 - 
       (44*t[83])/5 - (3*t[84])/5 - (107*t[85])/10 + (12*t[86])/5 + 
       (143*t[87])/10 + (143*t[88])/20 - (41*t[89])/4 - 12*t[99] - 
       (54*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      (-24*t[2] - (18*t[3])/5 + (75*t[4])/2 - (467*t[5])/20 + (93*t[6])/5 - 
       (241*t[7])/10 + (125*t[8])/2 + (283*t[9])/20 + (181*t[10])/20 + 
       (108*t[11])/5 - (159*t[12])/10 - (17*t[13])/60 + (167*t[14])/24 + 
       (983*t[15])/120 + (72*t[28])/5 + (24*t[29])/5 - (24*t[30])/5 - 
       6*t[32] - 2*t[33] - 10*t[36] - 3*t[43] - (78*t[44])/5 - 4*t[47] + 
       (43*t[48])/2 + (37*t[49])/4 - (191*t[50])/10 - (37*t[51])/8 + 
       (191*t[52])/10 - (37*t[53])/4 + (33*t[54])/5 + (397*t[60])/10 + 
       (89*t[61])/10 - (47*t[62])/20 - (1113*t[63])/20 + (333*t[64])/20 + 
       (33*t[65])/2 + (233*t[66])/30 + (24*t[73])/5 + 10*t[74] + 
       (72*t[75])/5 + 6*t[77] + 2*t[78] - (72*t[79])/5 - 12*t[80] - 4*t[81] + 
       4*t[82] - (134*t[83])/5 + (89*t[84])/10 + (149*t[85])/10 + 
       (24*t[86])/5 - (75*t[87])/2 - (75*t[88])/4 + (423*t[89])/20 + 
       18*t[99] + (129*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*((-13*t[3])/2 + (6*t[4])/5 - (467*t[5])/20 + t[6]/4 + 
       (107*t[7])/10 + (117*t[8])/10 + (597*t[9])/20 + (88*t[10])/5 + 
       (19*t[11])/4 + (349*t[12])/20 + (67*t[13])/20 - (271*t[14])/60 + 
       (139*t[15])/40 - 2*t[28] - (122*t[36])/5 - 2*t[39] - 6*t[40] + 
       6*t[45] - 4*t[46] - 12*t[47] - (11*t[48])/4 - (83*t[49])/10 - 
       (39*t[50])/4 - (29*t[51])/20 + (39*t[52])/4 + (83*t[53])/10 + 
       (147*t[54])/20 + (397*t[60])/10 + (89*t[61])/10 - (47*t[62])/20 - 
       (1113*t[63])/20 + (333*t[64])/20 + (33*t[65])/2 + (233*t[66])/30 + 
       (24*t[73])/5 + 10*t[74] + (72*t[75])/5 + 6*t[77] + 2*t[78] - 
       (72*t[79])/5 - 12*t[80] - 4*t[81] + 4*t[82] - (134*t[83])/5 + 
       (89*t[84])/10 + (149*t[85])/10 + (24*t[86])/5 - (75*t[87])/2 - 
       (75*t[88])/4 + (423*t[89])/20 + 18*t[99] + (129*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((-24*t[1])/5 - (23*t[2])/5 - (43*t[3])/5 + 3*t[4] + (39*t[5])/10 + 
       (29*t[6])/2 + t[7] - (23*t[8])/5 - t[9]/10 + (536*t[10])/5 - 
       (45*t[11])/2 + (39*t[12])/2 - (2903*t[13])/90 + (193*t[14])/30 + 
       (313*t[15])/20 + (4*t[16])/5 - (16*t[19])/5 - 4*t[24] - (2*t[25])/5 + 
       (2*t[26])/5 - (22*t[27])/5 - (24*t[28])/5 - (16*t[29])/5 - 
       (36*t[31])/5 - 4*t[32] + (44*t[35])/5 - (164*t[36])/5 - (4*t[37])/5 - 
       (32*t[38])/5 - (106*t[39])/5 - 4*t[40] - 4*t[44] + (32*t[45])/5 - 
       (48*t[46])/5 - (84*t[47])/5 + (3*t[48])/10 + (51*t[49])/5 - 
       (5*t[50])/2 - (53*t[51])/10 + (5*t[52])/2 - (71*t[53])/5 + 
       (33*t[54])/10 + (32*t[59])/5 + 23*t[60] + 41*t[61] - (348*t[62])/5 + 
       (56*t[63])/5 + (143*t[64])/10 - (104*t[65])/3 + (986*t[66])/15 - 
       (8*t[68])/5 - (12*t[69])/5 - (12*t[72])/5 + (132*t[74])/5 - 
       (84*t[75])/5 + 8*t[77] - (8*t[78])/5 + (48*t[79])/5 - (44*t[80])/5 - 
       (32*t[81])/5 + (6*t[82])/5 + 22*t[83] + 3*t[84] + (7*t[85])/5 + 
       (272*t[86])/5 - (113*t[87])/5 - (113*t[88])/10 - (239*t[89])/10 + 
       (156*t[99])/5 + (198*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((-103*t[2])/5 - (44*t[3])/5 + 
       (64*t[4])/5 - (599*t[5])/10 - (27*t[6])/5 + (171*t[7])/5 - 
       (219*t[8])/5 + (213*t[9])/2 + (121*t[10])/5 + (59*t[11])/5 + 
       (229*t[12])/10 - (3047*t[13])/90 - t[14]/10 + (731*t[15])/60 + 
       (4*t[17])/5 - (16*t[18])/5 - (12*t[20])/5 - (8*t[22])/5 - 2*t[24] - 
       (48*t[27])/5 - 16*t[28] - (4*t[29])/5 - (8*t[30])/5 - 4*t[32] - 
       (94*t[33])/5 - (44*t[35])/5 - (152*t[36])/5 - (16*t[37])/5 - 
       (4*t[39])/5 - 4*t[40] + (2*t[41])/5 - (2*t[42])/5 - (16*t[43])/5 + 
       (8*t[44])/5 - 8*t[46] - (12*t[47])/5 - (73*t[48])/5 - (2*t[49])/5 + 
       (97*t[50])/5 + (12*t[51])/5 - (97*t[52])/5 + (2*t[53])/5 - 19*t[54] - 
       (4*t[55])/5 - (4*t[56])/5 + 4*t[57] + (32*t[59])/5 + 23*t[60] + 
       41*t[61] - (348*t[62])/5 + (56*t[63])/5 + (143*t[64])/10 - 
       (104*t[65])/3 + (986*t[66])/15 - (8*t[68])/5 - (12*t[69])/5 - 
       (12*t[72])/5 + (132*t[74])/5 - (84*t[75])/5 + 8*t[77] - (8*t[78])/5 + 
       (48*t[79])/5 - (44*t[80])/5 - (32*t[81])/5 + (6*t[82])/5 + 22*t[83] + 
       3*t[84] + (7*t[85])/5 + (272*t[86])/5 - (113*t[87])/5 - 
       (113*t[88])/10 - (239*t[89])/10 + (156*t[99])/5 + (198*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-24*t[1])/5 - (27*t[2])/2 + (123*t[3])/10 + 12*t[4] + (131*t[5])/5 - 
       (797*t[6])/20 - (54*t[7])/5 + (141*t[8])/5 - (116*t[9])/5 - 
       (191*t[10])/2 + (173*t[11])/4 - 39*t[12] - (3527*t[13])/90 + 
       (2383*t[14])/60 + (715*t[15])/36 - 6*t[24] - 2*t[25] + 2*t[26] + 
       (34*t[27])/5 - (4*t[28])/5 - 14*t[29] - (8*t[31])/5 - 10*t[32] - 
       12*t[33] + (64*t[34])/5 + 12*t[35] - (54*t[36])/5 + (4*t[37])/5 - 
       (12*t[38])/5 - 6*t[39] + (88*t[40])/5 - 4*t[41] + 4*t[42] - 4*t[43] + 
       13*t[44] - 8*t[45] + (21*t[46])/5 - 2*t[47] + (357*t[48])/20 + 
       (43*t[49])/2 + (377*t[50])/20 - (37*t[51])/5 - (281*t[52])/20 - 
       (311*t[53])/10 - (97*t[54])/4 - (32*t[59])/5 + (113*t[60])/2 - 
       (519*t[61])/10 - (109*t[62])/20 + (389*t[63])/20 - (891*t[64])/20 + 
       (229*t[65])/30 + (1547*t[66])/30 + (48*t[72])/5 - (72*t[73])/5 - 
       (4*t[74])/5 - 32*t[75] - (144*t[76])/5 - (92*t[77])/5 + 
       (172*t[78])/5 - (32*t[79])/5 - (8*t[80])/5 - (48*t[81])/5 + 44*t[82] + 
       (384*t[83])/5 + (85*t[84])/2 + (193*t[85])/10 + (696*t[86])/5 + 
       (3*t[87])/2 + (3*t[88])/4 - (1417*t[89])/20 - (72*t[96])/5 - 
       (48*t[97])/5 - 144*t[98] + (456*t[99])/5 + (24*t[100])/5 - 
       (24*t[102])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((16*t[1])/5 + (669*t[2])/10 + (187*t[3])/5 - (721*t[4])/10 - 
       (93*t[5])/5 - (121*t[6])/5 + (569*t[7])/5 - (219*t[8])/5 + 
       (819*t[9])/10 - (543*t[10])/20 - (239*t[11])/5 + (367*t[12])/20 - 
       (497*t[13])/90 - (3341*t[14])/120 - (1133*t[15])/30 - 2*t[24] - 
       6*t[25] - 2*t[26] + (6*t[27])/5 - (164*t[28])/5 - (32*t[29])/5 + 
       (24*t[30])/5 - (32*t[31])/5 + 14*t[32] - 8*t[33] + (24*t[34])/5 - 
       (76*t[35])/5 - (38*t[36])/5 + (4*t[37])/5 + (28*t[38])/5 - 
       (52*t[39])/5 - (26*t[40])/5 - 4*t[41] + 4*t[42] + (8*t[43])/5 + 
       (72*t[44])/5 + (16*t[45])/5 - (107*t[46])/5 + (2*t[47])/5 - 
       (318*t[48])/5 - (1237*t[49])/20 + 40*t[50] + (557*t[51])/40 - 
       (176*t[52])/5 + (209*t[53])/4 + (241*t[54])/10 - (32*t[59])/5 + 
       (113*t[60])/2 - (519*t[61])/10 - (109*t[62])/20 + (389*t[63])/20 - 
       (891*t[64])/20 + (229*t[65])/30 + (1547*t[66])/30 + (48*t[72])/5 - 
       (72*t[73])/5 - (4*t[74])/5 - 32*t[75] - (144*t[76])/5 - (92*t[77])/5 + 
       (172*t[78])/5 - (32*t[79])/5 - (8*t[80])/5 - (48*t[81])/5 + 44*t[82] + 
       (384*t[83])/5 + (85*t[84])/2 + (193*t[85])/10 + (696*t[86])/5 + 
       (3*t[87])/2 + (3*t[88])/4 - (1417*t[89])/20 - (72*t[96])/5 - 
       (48*t[97])/5 - 144*t[98] + (456*t[99])/5 + (24*t[100])/5 - 
       (24*t[102])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*(-2*t[1] - (133*t[2])/10 + 2*t[3] + (111*t[4])/5 + 
       (44*t[5])/5 - (161*t[6])/10 - t[7]/5 + 17*t[8] - (481*t[9])/10 - 
       (464*t[10])/5 + (741*t[11])/10 + (231*t[12])/10 + (2921*t[13])/90 + 
       (409*t[14])/12 + (289*t[15])/20 + 2*t[24] + 6*t[25] - 2*t[26] + 
       (18*t[27])/5 + 20*t[28] + 4*t[29] - 4*t[31] + (2*t[32])/5 + 
       (48*t[33])/5 - (8*t[35])/5 - (6*t[36])/5 + (4*t[37])/5 - 4*t[38] - 
       (12*t[39])/5 + (82*t[40])/5 + (2*t[41])/5 - (2*t[42])/5 + 
       (4*t[43])/5 - (36*t[44])/5 - (72*t[45])/5 + t[46]/5 + (118*t[47])/5 + 
       (63*t[48])/10 + 16*t[49] + (111*t[50])/10 + (23*t[51])/20 - 
       (111*t[52])/10 - 16*t[53] - (59*t[54])/10 + 8*t[59] - (108*t[60])/5 + 
       (554*t[61])/5 - 96*t[62] + (324*t[63])/5 + 27*t[64] - (172*t[65])/3 - 
       (2158*t[66])/15 + (48*t[72])/5 - (224*t[74])/5 + (8*t[75])/5 - 
       (84*t[77])/5 - (104*t[78])/5 - (32*t[79])/5 + 40*t[80] + 
       (16*t[81])/5 - (64*t[82])/5 + (56*t[83])/5 - (42*t[84])/5 - 
       (174*t[85])/5 + (584*t[86])/5 + (314*t[87])/5 + (157*t[88])/5 - 
       (293*t[89])/5 - (472*t[99])/5 - (516*t[100])/5 - (16*t[102])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((-22*t[1])/5 - 8*t[2] + (153*t[3])/5 + (71*t[4])/10 + (7*t[5])/20 - 
       (43*t[6])/10 + (269*t[7])/10 + (347*t[8])/10 + (543*t[9])/20 + 
       (749*t[10])/20 - (8*t[11])/5 - (461*t[12])/10 - (1153*t[13])/60 + 
       (67*t[14])/40 - (1507*t[15])/40 + (4*t[16])/5 + (16*t[19])/5 + 
       2*t[24] - 2*t[25] - 2*t[26] - (2*t[27])/5 - (54*t[28])/5 - 
       (12*t[31])/5 + 4*t[32] - 10*t[33] - (38*t[35])/5 + (12*t[36])/5 + 
       2*t[37] + 4*t[38] + (6*t[39])/5 - (28*t[40])/5 - 3*t[43] - 6*t[44] + 
       (8*t[45])/5 - (29*t[46])/5 + (14*t[47])/5 - (43*t[48])/10 + 
       (45*t[49])/4 + (59*t[50])/10 - (31*t[51])/8 - (59*t[52])/10 - 
       (45*t[53])/4 - (91*t[54])/5 - 4*t[59] - (32*t[60])/5 - (302*t[61])/5 - 
       (1651*t[62])/20 + (271*t[63])/20 + (331*t[64])/5 - (137*t[65])/30 + 
       (389*t[66])/15 - 2*t[68] - (24*t[72])/5 - 12*t[73] + (82*t[74])/5 - 
       (26*t[75])/5 + (17*t[77])/5 + (18*t[78])/5 + 25*t[79] - 
       (104*t[80])/5 - (36*t[81])/5 + (107*t[82])/5 + (73*t[83])/5 + 
       (27*t[84])/10 + (53*t[85])/10 + 77*t[86] - (47*t[87])/2 - 
       (47*t[88])/4 + (7*t[89])/5 + (136*t[99])/5 + 42*t[100] + (4*t[102])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((-13*t[2])/4 - (31*t[3])/5 - (137*t[4])/5 - (123*t[5])/5 - 
       (1083*t[6])/20 + (29*t[7])/10 - (59*t[8])/2 + (1139*t[9])/20 + 
       (159*t[10])/4 - (617*t[11])/20 + (123*t[12])/10 - (4189*t[13])/90 + 
       (179*t[14])/15 - (593*t[15])/40 - (8*t[18])/5 - (12*t[20])/5 - 
       2*t[22] + (2*t[24])/5 - t[25] + t[26] + 9*t[27] - (12*t[29])/5 + 
       2*t[30] - (38*t[31])/5 - (21*t[32])/5 - (17*t[33])/5 + 4*t[35] - 
       (109*t[36])/5 + 4*t[37] + 2*t[39] - t[40] + t[41] - t[42] - 
       (18*t[43])/5 + (12*t[44])/5 + 6*t[45] + (7*t[46])/2 - (63*t[47])/5 - 
       (67*t[48])/20 + (161*t[49])/20 - (31*t[50])/20 - (151*t[51])/10 + 
       (31*t[52])/20 - (161*t[53])/20 + t[54]/20 - (2*t[56])/5 + 2*t[57] - 
       4*t[59] - (32*t[60])/5 - (302*t[61])/5 - (1651*t[62])/20 + 
       (271*t[63])/20 + (331*t[64])/5 - (137*t[65])/30 + (389*t[66])/15 - 
       2*t[68] - (24*t[72])/5 - 12*t[73] + (82*t[74])/5 - (26*t[75])/5 + 
       (17*t[77])/5 + (18*t[78])/5 + 25*t[79] - (104*t[80])/5 - 
       (36*t[81])/5 + (107*t[82])/5 + (73*t[83])/5 + (27*t[84])/10 + 
       (53*t[85])/10 + 77*t[86] - (47*t[87])/2 - (47*t[88])/4 + (7*t[89])/5 + 
       (136*t[99])/5 + 42*t[100] + (4*t[102])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-42*t[1])/5 - (221*t[2])/10 + 
       (117*t[3])/5 + (58*t[4])/5 - (53*t[5])/10 - (163*t[6])/2 + 9*t[7] + 
       (329*t[8])/5 + (14*t[9])/5 + (249*t[10])/5 + (747*t[11])/10 + 
       (91*t[12])/5 - (167*t[13])/45 - (443*t[14])/20 - (269*t[15])/15 + 
       (4*t[16])/5 - (16*t[19])/5 + 2*t[24] + (12*t[25])/5 - 4*t[26] + 
       12*t[27] - (72*t[28])/5 - (24*t[29])/5 + (48*t[30])/5 - (52*t[31])/5 - 
       2*t[32] - 4*t[33] + (32*t[35])/5 - (98*t[36])/5 + (72*t[37])/5 - 
       (8*t[38])/5 - (98*t[39])/5 - 2*t[40] + (8*t[41])/5 - (8*t[42])/5 - 
       4*t[43] - (16*t[44])/5 + (28*t[45])/5 + (79*t[46])/5 - 6*t[47] + 
       (7*t[48])/10 - 7*t[49] + (3*t[50])/10 - (157*t[51])/20 - 
       (3*t[52])/10 + 7*t[53] - (367*t[54])/10 + (2*t[59])/5 + 
       (202*t[60])/5 - (638*t[61])/5 - (125*t[62])/2 - (1227*t[63])/10 + 
       (713*t[64])/5 - (863*t[65])/15 + (151*t[66])/15 - (8*t[68])/5 - 
       (12*t[69])/5 + (12*t[72])/5 - (72*t[73])/5 + (284*t[74])/5 + 
       (52*t[75])/5 - (48*t[76])/5 - (4*t[77])/5 + (152*t[78])/5 + 
       (224*t[79])/5 - (248*t[80])/5 - (96*t[81])/5 + (166*t[82])/5 + 
       (34*t[83])/5 + (56*t[84])/5 + (116*t[85])/5 + (468*t[86])/5 - 
       (182*t[87])/5 - (91*t[88])/5 + (137*t[89])/5 + 8*t[95] - 
       (144*t[98])/5 + (648*t[99])/5 + (828*t[100])/5 + (24*t[102])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((117*t[2])/10 + 38*t[3] - (144*t[4])/5 - (319*t[5])/10 - (5*t[6])/2 + 
       (67*t[7])/5 + (551*t[8])/5 + 79*t[9] + (437*t[10])/10 - 
       (603*t[11])/10 - (153*t[12])/10 - (224*t[13])/5 - (163*t[14])/30 - 
       (1559*t[15])/30 - (16*t[18])/5 - (12*t[20])/5 - (8*t[22])/5 + 
       (124*t[24])/5 - 2*t[25] + 2*t[26] + (2*t[27])/5 - 12*t[28] - 
       (12*t[29])/5 - (32*t[30])/5 - 8*t[31] + 2*t[32] - (22*t[33])/5 + 
       (96*t[35])/5 - (6*t[36])/5 + 12*t[37] + (26*t[39])/5 - 12*t[40] + 
       2*t[41] - 2*t[42] - (16*t[43])/5 + 2*t[44] + 8*t[45] - (31*t[46])/5 - 
       (46*t[47])/5 + (113*t[48])/10 + (15*t[49])/2 - (471*t[50])/10 - 
       (54*t[51])/5 + (471*t[52])/10 - (15*t[53])/2 + (317*t[54])/10 - 
       (4*t[56])/5 + 4*t[57] + (2*t[59])/5 + (202*t[60])/5 - (638*t[61])/5 - 
       (125*t[62])/2 - (1227*t[63])/10 + (713*t[64])/5 - (863*t[65])/15 + 
       (151*t[66])/15 - (8*t[68])/5 - (12*t[69])/5 + (12*t[72])/5 - 
       (72*t[73])/5 + (284*t[74])/5 + (52*t[75])/5 - (48*t[76])/5 - 
       (4*t[77])/5 + (152*t[78])/5 + (224*t[79])/5 - (248*t[80])/5 - 
       (96*t[81])/5 + (166*t[82])/5 + (34*t[83])/5 + (56*t[84])/5 + 
       (116*t[85])/5 + (468*t[86])/5 - (182*t[87])/5 - (91*t[88])/5 + 
       (137*t[89])/5 + 8*t[95] - (144*t[98])/5 + (648*t[99])/5 + 
       (828*t[100])/5 + (24*t[102])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*((376*t[1])/35 - (446*t[2])/35 + (3058*t[3])/105 - 
       (28*t[4])/3 + (202*t[5])/15 - (1352*t[6])/35 - (4192*t[7])/105 - 
       (764*t[8])/5 - (1096*t[9])/21 - (194*t[10])/105 - (3058*t[11])/105 - 
       (154*t[12])/3 - (319*t[13])/315 - (3412*t[14])/105 - 
       (2899*t[15])/315 + (64*t[16])/35 - (64*t[21])/7 + (64*t[23])/7 - 
       (32*t[25])/7 - (88*t[26])/35 - (32*t[27])/7 + (48*t[28])/5 - 
       (24*t[35])/5 + (1152*t[36])/35 + (368*t[37])/35 + (752*t[38])/35 + 
       (16*t[39])/7 + (752*t[40])/35 - (32*t[41])/7 + (32*t[42])/7 + 
       (368*t[45])/35 - (152*t[46])/7 - (736*t[47])/35 - (1418*t[48])/35 + 
       (662*t[49])/21 + (4094*t[50])/105 + (754*t[51])/105 - 
       (4094*t[52])/105 - (662*t[53])/21 - (4094*t[54])/105 - 
       (848*t[59])/35 - (3484*t[60])/35 - (16444*t[61])/105 + 
       (2078*t[62])/35 + (5918*t[63])/35 - (1496*t[64])/105 - 
       (1174*t[65])/9 - (5938*t[66])/315 - (64*t[67])/35 - (32*t[68])/5 - 
       (64*t[70])/7 + (64*t[71])/7 - (264*t[74])/7 - (976*t[76])/105 - 
       (752*t[77])/35 - (32*t[78])/21 - (48*t[79])/5 - (1472*t[80])/35 - 
       (592*t[81])/35 + (136*t[82])/7 + (36*t[83])/5 - (3814*t[84])/105 + 
       (32*t[85])/21 - (416*t[86])/7 + (4468*t[87])/105 + (2234*t[88])/105 - 
       (9896*t[89])/105 - (2*t[91])/35)*\[Zeta][2]^3 + 
     HPL[{1}, 1 - w]*((-416*t[1])/35 + (128*t[2])/7 + (422*t[3])/35 - 
       (2356*t[4])/105 + (10*t[5])/7 - (2206*t[6])/105 - (3464*t[7])/105 - 
       (244*t[8])/7 - (12332*t[9])/105 + (298*t[10])/35 - (2414*t[11])/35 - 
       (1522*t[12])/105 - (1808*t[13])/45 - (4118*t[14])/315 + 
       (4327*t[15])/315 + (64*t[16])/35 + (16*t[17])/5 + (8*t[24])/35 + 
       (24*t[28])/5 + (752*t[32])/35 + (16*t[33])/7 + (1152*t[36])/35 + 
       (368*t[37])/35 - (376*t[41])/35 + (376*t[42])/35 - (184*t[43])/35 - 
       (368*t[44])/35 - (976*t[45])/105 + (12*t[46])/5 - (32*t[47])/21 - 
       (1696*t[48])/105 + (1706*t[49])/105 + (2584*t[50])/105 - 
       (664*t[51])/105 - (2584*t[52])/105 - (1706*t[53])/105 - 
       (392*t[54])/15 - (848*t[59])/35 - (3484*t[60])/35 - 
       (16444*t[61])/105 + (2078*t[62])/35 + (5918*t[63])/35 - 
       (1496*t[64])/105 - (1174*t[65])/9 - (5938*t[66])/315 - (64*t[67])/35 - 
       (32*t[68])/5 - (64*t[70])/7 + (64*t[71])/7 - (264*t[74])/7 - 
       (976*t[76])/105 - (752*t[77])/35 - (32*t[78])/21 - (48*t[79])/5 - 
       (1472*t[80])/35 - (592*t[81])/35 + (136*t[82])/7 + (36*t[83])/5 - 
       (3814*t[84])/105 + (32*t[85])/21 - (416*t[86])/7 + (4468*t[87])/105 + 
       (2234*t[88])/105 - (9896*t[89])/105 - (2*t[91])/35)*\[Zeta][2]^3 + 
     HPL[{0, 0, 0, 1}, 1 - w]*(13*t[1] + 8*t[3] - (27*t[4])/2 - (11*t[5])/2 - 
       (7*t[6])/4 - 16*t[7] - 2*t[8] - (249*t[10])/4 + (231*t[11])/4 + 
       (81*t[12])/4 + (13*t[13])/9 - (345*t[14])/8 - (101*t[15])/12 - 
       8*t[25] + 2*t[26] + 4*t[30] - 4*t[37] + 14*t[38] + 3*t[39] + 4*t[40] - 
       2*t[43] - 6*t[45] + 22*t[46] + 12*t[47] - t[48]/4 - (199*t[49])/4 - 
       (17*t[50])/4 + (225*t[51])/8 + (17*t[52])/4 + (175*t[53])/4 + 
       (23*t[54])/4 - 17*t[59] + (47*t[60])/2 - (167*t[61])/2 + 17*t[62] - 
       85*t[63] + (471*t[64])/4 - (112*t[65])/3 - (59*t[66])/6 - 4*t[69] + 
       8*t[70] - 8*t[71] + t[76] - 4*t[77] - 2*t[78] + 30*t[80] + 3*t[81] + 
       3*t[82] - 7*t[84] + 6*t[85] + 12*t[86] + 2*t[87] - 15*t[88] - 
       (3*t[89])/4 - 2*t[96])*\[Zeta][3] + HPL[{0, 0, 0, 1}, 1 - v]*
      (38*t[2] + (73*t[3])/2 - 17*t[4] + (263*t[5])/4 + (23*t[6])/4 - 
       (41*t[7])/2 - (107*t[8])/2 - (341*t[9])/4 - 38*t[10] - (45*t[11])/4 - 
       (13*t[12])/4 + (38*t[13])/9 - (605*t[14])/12 - (461*t[15])/24 + 
       2*t[18] - 2*t[19] + 8*t[20] - 4*t[22] + 2*t[29] + 4*t[32] + 8*t[33] + 
       14*t[34] - 6*t[37] + 2*t[39] - 2*t[41] + 3*t[42] + 3*t[43] - t[44] - 
       t[45] - 3*t[47] - (11*t[48])/4 + (5*t[49])/2 - (99*t[50])/4 - 
       (9*t[51])/4 + (91*t[52])/4 - (5*t[53])/2 + (39*t[54])/4 - 17*t[59] + 
       (47*t[60])/2 - (167*t[61])/2 + 17*t[62] - 85*t[63] + (471*t[64])/4 - 
       (112*t[65])/3 - (59*t[66])/6 - 4*t[69] + 8*t[70] - 8*t[71] + t[76] - 
       4*t[77] - 2*t[78] + 30*t[80] + 3*t[81] + 3*t[82] - 7*t[84] + 6*t[85] + 
       12*t[86] + 2*t[87] - 15*t[88] - (3*t[89])/4 - 2*t[96])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((-95*t[1])/6 + (43*t[2])/3 - 
       (731*t[3])/6 + (183*t[4])/2 - (593*t[5])/12 + (731*t[6])/6 + 
       (503*t[7])/12 + (883*t[8])/4 + (281*t[9])/2 + (821*t[10])/12 + 
       (1603*t[11])/12 + (323*t[12])/12 + (4631*t[13])/72 + (943*t[14])/4 + 
       (2447*t[15])/36 - (16*t[18])/3 + 10*t[19] - 16*t[20] - (40*t[21])/3 + 
       6*t[22] + 16*t[23] - (52*t[24])/3 + (28*t[25])/3 + (4*t[26])/3 - 
       (28*t[27])/3 - 16*t[28] + 2*t[29] - 13*t[30] - 16*t[31] + 
       (47*t[32])/6 - 8*t[33] - (16*t[34])/3 + 12*t[35] - 10*t[36] - 
       10*t[37] - 17*t[38] + 4*t[39] - (41*t[40])/6 - (29*t[41])/6 + 
       (13*t[42])/6 + (7*t[43])/12 - (38*t[44])/3 + (7*t[45])/2 - 2*t[46] - 
       (74*t[47])/3 + (359*t[48])/12 + (31*t[49])/6 + (83*t[50])/12 - 
       (45*t[51])/4 + (13*t[52])/12 - (50*t[53])/3 + (311*t[54])/12 + 
       (59*t[59])/3 + (371*t[60])/2 + (1811*t[61])/6 - (509*t[62])/6 - 
       (7*t[63])/6 - (851*t[64])/4 - (167*t[65])/3 - (2797*t[66])/18 - 
       4*t[69] + (56*t[70])/3 - (56*t[71])/3 + 24*t[72] + (28*t[74])/3 - 
       (65*t[76])/3 + t[77]/3 + (146*t[78])/3 - (154*t[80])/3 + 
       (47*t[81])/3 - (136*t[82])/3 + (232*t[84])/3 - 34*t[85] - 
       (208*t[86])/3 - (224*t[87])/3 + (2*t[88])/3 + t[89]/12 - 8*t[95] - 
       8*t[96] + 6*t[97] - 112*t[98] + 96*t[99] - 316*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((-65*t[1])/6 - (47*t[2])/3 - 
       (293*t[3])/6 + 40*t[4] - (77*t[5])/3 + (47*t[6])/6 - (337*t[7])/12 - 
       (325*t[8])/4 - (71*t[9])/4 + (373*t[10])/6 + (169*t[11])/12 - 
       (361*t[12])/12 + (71*t[13])/8 + (1411*t[14])/24 - (89*t[15])/72 - 
       (4*t[18])/3 + 4*t[19] - 8*t[20] - (28*t[21])/3 + 8*t[23] - 
       (16*t[24])/3 + (52*t[25])/3 - (41*t[26])/3 - (28*t[27])/3 + 16*t[28] + 
       2*t[29] - 3*t[30] - 12*t[31] + (77*t[32])/6 - (55*t[34])/3 - 
       12*t[35] + 6*t[36] + 10*t[37] - 5*t[38] + 8*t[39] - (11*t[40])/6 + 
       (25*t[41])/6 - (41*t[42])/6 + (133*t[43])/12 + (25*t[44])/3 + 
       (41*t[45])/2 - 18*t[46] - (56*t[47])/3 + (119*t[48])/12 + 
       (89*t[49])/12 - (181*t[50])/12 + (75*t[51])/8 + (145*t[52])/12 - 
       (215*t[53])/12 + (437*t[54])/12 - 3*t[58] + (59*t[59])/3 + 
       (371*t[60])/2 + (1811*t[61])/6 - (509*t[62])/6 - (7*t[63])/6 - 
       (851*t[64])/4 - (167*t[65])/3 - (2797*t[66])/18 - 4*t[69] + 
       (56*t[70])/3 - (56*t[71])/3 + 24*t[72] + (28*t[74])/3 - (65*t[76])/3 + 
       t[77]/3 + (146*t[78])/3 - (154*t[80])/3 + (47*t[81])/3 - 
       (136*t[82])/3 + (232*t[84])/3 - 34*t[85] - (208*t[86])/3 - 
       (224*t[87])/3 + (2*t[88])/3 + t[89]/12 - 8*t[95] - 8*t[96] + 6*t[97] - 
       112*t[98] + 96*t[99] - 316*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(2*t[1] + 36*t[2] + (25*t[3])/2 + 
       (45*t[4])/2 + (29*t[5])/2 + (9*t[6])/2 + (151*t[7])/2 + (109*t[8])/2 + 
       (169*t[9])/2 - (177*t[10])/4 + 136*t[11] + (235*t[12])/4 + 
       (2419*t[13])/36 + (1999*t[14])/24 - (35*t[15])/4 - 4*t[19] + 4*t[20] + 
       4*t[21] - 4*t[22] - 4*t[23] + 4*t[27] - 6*t[29] - 18*t[30] - 4*t[31] - 
       7*t[32] + 2*t[33] + 8*t[34] + 4*t[35] + 4*t[36] - 2*t[38] + 16*t[39] - 
       11*t[40] + 7*t[41] - 7*t[42] + 2*t[43] + 5*t[44] - 22*t[45] - t[46] + 
       48*t[47] + 6*t[48] + (31*t[49])/4 - 21*t[50] - (59*t[51])/8 + 
       29*t[52] + t[53]/4 - (45*t[54])/2 + 7*t[59] + (119*t[60])/2 + 
       (299*t[61])/2 - (555*t[62])/4 - (593*t[63])/4 + (131*t[64])/4 - 
       (325*t[65])/6 - (1355*t[66])/6 - 4*t[69] + 24*t[72] + 4*t[73] - 
       4*t[75] + 50*t[76] + 4*t[77] - 34*t[78] + 8*t[79] + 60*t[80] + 
       18*t[81] - 8*t[82] + 44*t[83] - (21*t[84])/2 - (11*t[85])/2 + 
       104*t[86] - (101*t[87])/2 - (101*t[88])/4 - (129*t[89])/4 + 12*t[96] + 
       10*t[97] + 100*t[98] - 92*t[99] - 133*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*(10*t[1] - 4*t[2] - 14*t[3] - 
       12*t[4] + (65*t[5])/2 - (155*t[6])/4 + (127*t[7])/2 - (77*t[8])/2 - 
       10*t[9] - 21*t[10] + (273*t[11])/4 - 13*t[12] + (1363*t[13])/36 + 
       (37*t[14])/6 + (155*t[15])/18 - 4*t[25] + 2*t[26] + 4*t[27] - 
       14*t[28] - 6*t[29] + 2*t[30] - 6*t[31] - 2*t[34] + 12*t[35] + 
       4*t[36] + 6*t[38] + 3*t[40] + t[41] - t[42] + 2*t[43] + 35*t[44] - 
       4*t[45] + 17*t[46] + 8*t[47] - (59*t[48])/4 + (9*t[49])/2 - 
       (71*t[50])/4 - (15*t[51])/4 + (15*t[52])/4 + (9*t[53])/2 - 
       (89*t[54])/4 - 2*t[58] + 7*t[59] + (119*t[60])/2 + (299*t[61])/2 - 
       (555*t[62])/4 - (593*t[63])/4 + (131*t[64])/4 - (325*t[65])/6 - 
       (1355*t[66])/6 - 4*t[69] + 24*t[72] + 4*t[73] - 4*t[75] + 50*t[76] + 
       4*t[77] - 34*t[78] + 8*t[79] + 60*t[80] + 18*t[81] - 8*t[82] + 
       44*t[83] - (21*t[84])/2 - (11*t[85])/2 + 104*t[86] - (101*t[87])/2 - 
       (101*t[88])/4 - (129*t[89])/4 + 12*t[96] + 10*t[97] + 100*t[98] - 
       92*t[99] - 133*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(2*t[1] + (37*t[2])/2 - (359*t[3])/6 + (89*t[4])/2 + 
       (41*t[5])/3 + (481*t[6])/12 + (283*t[7])/6 + (337*t[8])/6 + 90*t[9] - 
       (149*t[10])/12 + (1279*t[11])/12 + (229*t[12])/12 + (1799*t[13])/36 + 
       (9275*t[14])/72 + (665*t[15])/18 + 4*t[19] - 6*t[20] - 4*t[21] + 
       2*t[22] + 4*t[23] - 8*t[24] - 4*t[27] - (28*t[28])/3 - (8*t[29])/3 - 
       (13*t[30])/3 + (13*t[32])/2 + 12*t[35] - 6*t[36] - 8*t[37] - t[38] + 
       3*t[39] - (17*t[40])/2 - t[43] + (8*t[44])/3 - 7*t[45] + 5*t[47] - 
       (41*t[48])/4 + (75*t[49])/4 + (137*t[50])/12 - (59*t[51])/8 - 
       (41*t[52])/12 - (59*t[53])/4 - (95*t[54])/12 + (13*t[59])/2 + 
       (703*t[60])/6 + (1373*t[61])/6 - (419*t[62])/12 - (59*t[63])/4 - 
       (2165*t[64])/12 - (1651*t[65])/18 - (907*t[66])/6 + 4*t[70] - 
       4*t[71] + 10*t[72] + 2*t[73] + 2*t[74] + 2*t[75] + 18*t[76] + 
       4*t[77] + 3*t[78] - 2*t[79] + 22*t[80] + 12*t[81] - 18*t[82] + 
       (58*t[83])/3 + (73*t[84])/6 - (52*t[85])/3 - (142*t[86])/3 - 
       (147*t[87])/2 - (67*t[88])/4 - (661*t[89])/12 - 4*t[95] + 7*t[97] + 
       28*t[98] - 20*t[99] - 102*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((-7*t[1])/2 - 2*t[2] - 11*t[3] + (217*t[4])/6 + (211*t[5])/6 - 
       (13*t[6])/2 + (44*t[7])/3 - (139*t[8])/3 + (67*t[9])/3 + 
       (14*t[10])/3 + (95*t[11])/2 - 9*t[12] + (81*t[13])/4 + 
       (2387*t[14])/36 + (193*t[15])/36 + 8*t[25] - 5*t[26] - 4*t[27] + 
       10*t[28] - 4*t[30] - 2*t[31] - t[34] - 8*t[35] + 2*t[36] + 2*t[37] - 
       3*t[38] + 6*t[39] + t[41]/2 - t[42]/2 + 4*t[43] + 2*t[44] + 2*t[45] - 
       6*t[46] - 4*t[47] - 5*t[48] + (44*t[49])/3 - 11*t[50] - (15*t[51])/4 - 
       (127*t[53])/6 - (139*t[54])/6 - t[58] + (13*t[59])/2 + (703*t[60])/6 + 
       (1373*t[61])/6 - (419*t[62])/12 - (59*t[63])/4 - (2165*t[64])/12 - 
       (1651*t[65])/18 - (907*t[66])/6 + 4*t[70] - 4*t[71] + 10*t[72] + 
       2*t[73] + 2*t[74] + 2*t[75] + 18*t[76] + 4*t[77] + 3*t[78] - 2*t[79] + 
       22*t[80] + 12*t[81] - 18*t[82] + (58*t[83])/3 + (73*t[84])/6 - 
       (52*t[85])/3 - (142*t[86])/3 - (147*t[87])/2 - (67*t[88])/4 - 
       (661*t[89])/12 - 4*t[95] + 7*t[97] + 28*t[98] - 20*t[99] - 102*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (-7*t[1] + (21*t[2])/2 - (617*t[3])/12 + (39*t[4])/2 - (223*t[5])/6 + 
       (337*t[6])/6 - (99*t[7])/4 + (531*t[8])/4 + (5*t[9])/4 - 
       (37*t[10])/6 + (269*t[11])/12 + (41*t[12])/12 + (299*t[13])/24 + 
       (2473*t[14])/72 + (191*t[15])/12 - 4*t[18] + 6*t[19] - 6*t[20] - 
       6*t[21] + 8*t[22] + 6*t[23] - 8*t[24] + 4*t[25] - 4*t[26] - 2*t[27] - 
       10*t[28] + t[29] - 8*t[30] - (28*t[31])/3 + 7*t[32] - 4*t[34] + 
       4*t[35] - 6*t[37] - 3*t[38] - 4*t[39] - 5*t[41] + 3*t[42] + 
       (67*t[43])/12 - t[44]/2 + (9*t[45])/2 - t[46] - 2*t[47] + 
       (73*t[48])/4 - (287*t[49])/12 - (37*t[50])/12 + (27*t[51])/8 + 
       (109*t[52])/12 + (77*t[53])/12 + (391*t[54])/12 + 4*t[57] + 3*t[59] + 
       (142*t[60])/3 + 141*t[61] - (124*t[62])/3 - 82*t[63] - (13*t[64])/2 + 
       (4*t[65])/3 + (65*t[66])/9 - 4*t[69] + 16*t[70] - 16*t[71] + 
       12*t[73] + 8*t[74] - 36*t[75] - 26*t[76] + 2*t[77] + 22*t[78] - 
       18*t[79] - 6*t[80] - 4*t[81] - (88*t[82])/3 + 24*t[83] + 
       (130*t[84])/3 + (32*t[85])/3 - (16*t[86])/3 + (82*t[87])/3 + 
       (149*t[88])/3 + (41*t[89])/2 - 8*t[95] - 14*t[96] - 72*t[98] + 
       88*t[99] - 92*t[100])*\[Zeta][3] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-47*t[1])/6 - (82*t[2])/3 - (379*t[3])/6 - 
       107*t[4] - (205*t[5])/6 + (425*t[6])/6 - (701*t[7])/12 + 
       (773*t[8])/12 - (607*t[9])/12 + (57*t[10])/2 - (1127*t[11])/12 + 
       (17*t[12])/4 - (8251*t[13])/216 + (925*t[14])/72 + (1339*t[15])/72 - 
       4*t[18] + 4*t[19] - 8*t[20] - 6*t[21] + 6*t[22] + 6*t[23] - 6*t[24] + 
       (10*t[25])/3 - (5*t[26])/3 - (26*t[27])/3 + (4*t[28])/3 + 
       (20*t[29])/3 - (11*t[30])/3 - (16*t[31])/3 + (23*t[32])/2 + 2*t[33] - 
       (35*t[34])/3 - 4*t[35] + (34*t[36])/3 + (46*t[37])/3 - (4*t[39])/3 + 
       (3*t[40])/2 + (17*t[41])/6 - (29*t[42])/6 + (91*t[43])/12 + 
       (13*t[44])/3 + (127*t[45])/6 - 11*t[46] - (70*t[47])/3 + 
       (147*t[48])/4 + (9*t[49])/4 - (105*t[50])/4 + (115*t[51])/8 + 
       (407*t[52])/12 + (85*t[53])/12 + (415*t[54])/4 + 4*t[57] - t[58] + 
       (32*t[59])/3 - (529*t[60])/6 + (1093*t[61])/6 + (25*t[62])/4 + 
       (1457*t[63])/12 + (1241*t[64])/12 + (274*t[65])/3 + (88*t[66])/9 - 
       2*t[69] + (28*t[70])/3 - (28*t[71])/3 + (8*t[72])/3 + 10*t[73] - 
       (4*t[74])/3 - 14*t[75] - 15*t[76] + 4*t[77] - (16*t[78])/3 - 
       14*t[79] - 20*t[80] + 3*t[81] - 41*t[82] - 41*t[83] + (17*t[84])/3 - 
       (119*t[85])/3 - 68*t[86] + (145*t[87])/3 + (149*t[88])/6 + 
       (293*t[89])/12 + (20*t[95])/3 + (2*t[96])/3 + (5*t[97])/3 - 44*t[98] + 
       12*t[99] - 90*t[100])*\[Zeta][3] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((-41*t[1])/3 - (79*t[2])/3 + (275*t[3])/12 + 
       80*t[4] - (61*t[5])/2 + (437*t[6])/12 - (225*t[7])/4 + 
       (1391*t[8])/12 - (629*t[9])/12 - (19*t[10])/12 + (334*t[11])/3 + 
       (145*t[12])/6 + (9301*t[13])/216 + (379*t[14])/36 + (845*t[15])/36 - 
       4*t[18] + 6*t[19] - 12*t[20] - 10*t[21] + 10*t[22] + (34*t[23])/3 - 
       8*t[24] + 14*t[25] - 3*t[26] - (4*t[27])/3 - 2*t[28] + (31*t[29])/6 + 
       (22*t[30])/3 - (22*t[31])/3 - 14*t[32] - 2*t[33] - 20*t[34] + 
       2*t[36] - (20*t[37])/3 - (35*t[38])/3 + (41*t[39])/6 + (10*t[40])/3 - 
       (20*t[41])/3 + (14*t[42])/3 + (17*t[43])/4 - (37*t[44])/3 + 
       (17*t[45])/6 - 6*t[46] + (11*t[47])/3 + 28*t[48] - (73*t[49])/6 - 
       (25*t[50])/6 + (11*t[51])/12 + (5*t[52])/6 + 3*t[53] - (49*t[54])/3 + 
       4*t[57] + t[58] + (32*t[59])/3 - (529*t[60])/6 + (1093*t[61])/6 + 
       (25*t[62])/4 + (1457*t[63])/12 + (1241*t[64])/12 + (274*t[65])/3 + 
       (88*t[66])/9 - 2*t[69] + (28*t[70])/3 - (28*t[71])/3 + (8*t[72])/3 + 
       10*t[73] - (4*t[74])/3 - 14*t[75] - 15*t[76] + 4*t[77] - 
       (16*t[78])/3 - 14*t[79] - 20*t[80] + 3*t[81] - 41*t[82] - 41*t[83] + 
       (17*t[84])/3 - (119*t[85])/3 - 68*t[86] + (145*t[87])/3 + 
       (149*t[88])/6 + (293*t[89])/12 + (20*t[95])/3 + (2*t[96])/3 + 
       (5*t[97])/3 - 44*t[98] + 12*t[99] - 90*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((69*t[2])/2 - (181*t[3])/6 + 52*t[4] - (199*t[5])/6 + (2495*t[6])/48 + 
       (61*t[7])/2 + (133*t[8])/2 + (685*t[9])/8 - (121*t[10])/6 + 
       (4277*t[11])/48 + (67*t[12])/6 + (4643*t[13])/72 + (13325*t[14])/144 + 
       (3439*t[15])/144 - 2*t[19] + 14*t[20] + 10*t[21] - 8*t[22] - 
       10*t[23] + 4*t[24] - 2*t[27] + 20*t[28] + (19*t[29])/2 + 3*t[30] + 
       (38*t[31])/3 - 2*t[32] + 12*t[33] + 8*t[34] - 16*t[35] - 6*t[37] - 
       2*t[38] + (3*t[39])/2 - 7*t[40] + (13*t[43])/12 - (21*t[44])/2 - 
       (19*t[45])/2 - 3*t[46] - 7*t[47] - (85*t[48])/16 + (13*t[49])/12 + 
       (281*t[50])/48 - (5*t[51])/4 + (295*t[52])/48 - (19*t[53])/12 - 
       (653*t[54])/48 - (5*t[59])/2 + (1733*t[60])/24 + (1971*t[61])/8 + 
       (617*t[62])/48 - (1363*t[63])/16 - (3005*t[64])/16 - (1973*t[65])/24 - 
       (16721*t[66])/72 - 6*t[69] - 8*t[70] + 8*t[71] + 6*t[72] + 10*t[73] - 
       2*t[74] + 24*t[75] + 21*t[76] + 2*t[77] - 16*t[78] - 46*t[79] + 
       34*t[80] + 12*t[81] - (76*t[82])/3 + 23*t[83] - (163*t[84])/24 + 
       (793*t[85])/24 - (187*t[86])/3 - (1255*t[87])/24 - (2119*t[88])/48 - 
       (339*t[89])/16 + 4*t[96] + t[97] + 80*t[98] - 24*t[99] - 88*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((13*t[1])/2 + (29*t[2])/2 + (55*t[3])/12 + (327*t[4])/8 - 
       (61*t[5])/6 - (58*t[6])/3 + 45*t[7] - 24*t[8] + (95*t[9])/2 - 
       (2981*t[10])/48 + (335*t[11])/3 + (95*t[12])/48 + (5149*t[13])/72 + 
       (11977*t[14])/288 + (2341*t[15])/144 + 4*t[18] + 2*t[20] + 8*t[21] - 
       2*t[22] - 8*t[23] + 6*t[24] - 8*t[25] + 3*t[26] + 12*t[28] + t[29] + 
       8*t[30] + (50*t[31])/3 - 13*t[32] + 2*t[33] + 15*t[34] - 2*t[36] - 
       12*t[37] + 4*t[38] + t[39] + 3*t[40] + (5*t[41])/2 - t[42]/2 - 
       (8*t[43])/3 + t[44]/2 - 10*t[45] + 16*t[47] - (47*t[48])/2 + 
       (1177*t[49])/48 + (25*t[50])/6 - (187*t[51])/32 - (55*t[52])/6 - 
       (769*t[53])/48 - (805*t[54])/24 - t[58] - (5*t[59])/2 + 
       (1733*t[60])/24 + (1971*t[61])/8 + (617*t[62])/48 - (1363*t[63])/16 - 
       (3005*t[64])/16 - (1973*t[65])/24 - (16721*t[66])/72 - 6*t[69] - 
       8*t[70] + 8*t[71] + 6*t[72] + 10*t[73] - 2*t[74] + 24*t[75] + 
       21*t[76] + 2*t[77] - 16*t[78] - 46*t[79] + 34*t[80] + 12*t[81] - 
       (76*t[82])/3 + 23*t[83] - (163*t[84])/24 + (793*t[85])/24 - 
       (187*t[86])/3 - (1255*t[87])/24 - (2119*t[88])/48 - (339*t[89])/16 + 
       4*t[96] + t[97] + 80*t[98] - 24*t[99] - 88*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (11*t[2] + (229*t[3])/6 + (251*t[4])/8 + (599*t[5])/12 - (38*t[6])/3 + 
       (74*t[7])/3 - (112*t[8])/3 + (107*t[9])/4 - (1661*t[10])/48 + 
       (226*t[11])/3 + (235*t[12])/48 + (3115*t[13])/72 + (4493*t[14])/288 + 
       (121*t[15])/16 - 2*t[20] + 2*t[22] - 2*t[24] - (34*t[28])/3 - 
       (8*t[29])/3 - t[30]/3 - 4*t[31] - (31*t[32])/2 + 2*t[33] + 4*t[34] + 
       4*t[35] - 4*t[37] - t[38] + 7*t[39] - t[40]/2 - 2*t[41] + 2*t[42] + 
       t[43] + (23*t[44])/3 - 17*t[45] - t[46] + 19*t[47] - (17*t[48])/2 + 
       (387*t[49])/16 - (47*t[50])/6 - (327*t[51])/32 + (35*t[52])/6 - 
       (323*t[53])/16 - (937*t[54])/24 + (3*t[59])/2 - (1283*t[60])/24 + 
       (989*t[61])/24 + (1825*t[62])/48 + (117*t[63])/16 + (25*t[64])/48 - 
       (3727*t[65])/72 - (1519*t[66])/24 - 4*t[69] - 4*t[70] + 4*t[71] + 
       4*t[72] + 10*t[73] - 10*t[75] + 34*t[76] + 2*t[77] - 31*t[78] + 
       6*t[79] + 22*t[80] + 10*t[81] + 5*t[82] + (70*t[83])/3 - 
       (659*t[84])/24 - (227*t[85])/24 + (2*t[86])/3 - (77*t[87])/8 - 
       (365*t[88])/16 - (1513*t[89])/48 + 4*t[95] + 12*t[96] + 3*t[97] + 
       100*t[98] - 92*t[99] - 66*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((-3*t[1])/2 + (11*t[2])/2 + t[3] - (118*t[4])/3 + (115*t[5])/6 - 
       (347*t[6])/16 + (137*t[7])/12 - (301*t[8])/12 - (187*t[9])/24 - 
       (325*t[10])/12 - (109*t[11])/16 + (11*t[12])/2 - (265*t[13])/36 - 
       (1705*t[14])/144 + (781*t[15])/144 - 2*t[25] + 3*t[26] + 2*t[27] - 
       4*t[28] + (3*t[29])/2 + 3*t[30] + 4*t[31] - t[34] + 8*t[36] + 
       2*t[37] - t[38] + (5*t[39])/2 - 2*t[40] + t[41]/2 - t[42]/2 + 
       2*t[43] - (13*t[44])/2 - 2*t[45] + 6*t[46] + 4*t[47] - 
       (153*t[48])/16 + (179*t[49])/12 - (65*t[50])/16 - (53*t[51])/8 + 
       (17*t[52])/16 + (31*t[53])/12 - (137*t[54])/48 - t[58] + (3*t[59])/2 - 
       (1283*t[60])/24 + (989*t[61])/24 + (1825*t[62])/48 + (117*t[63])/16 + 
       (25*t[64])/48 - (3727*t[65])/72 - (1519*t[66])/24 - 4*t[69] - 
       4*t[70] + 4*t[71] + 4*t[72] + 10*t[73] - 10*t[75] + 34*t[76] + 
       2*t[77] - 31*t[78] + 6*t[79] + 22*t[80] + 10*t[81] + 5*t[82] + 
       (70*t[83])/3 - (659*t[84])/24 - (227*t[85])/24 + (2*t[86])/3 - 
       (77*t[87])/8 - (365*t[88])/16 - (1513*t[89])/48 + 4*t[95] + 12*t[96] + 
       3*t[97] + 100*t[98] - 92*t[99] - 66*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*(-t[1]/2 - 19*t[2] - (23*t[3])/4 - 
       (3*t[4])/2 - (37*t[5])/2 + (181*t[6])/4 - (97*t[7])/2 + (123*t[8])/2 - 
       (123*t[9])/2 - (83*t[10])/4 - (147*t[11])/4 - (49*t[12])/4 - 
       (157*t[13])/12 - (115*t[14])/24 + (433*t[15])/72 + 2*t[18] + 2*t[19] + 
       8*t[20] - 2*t[21] - 6*t[22] + 6*t[23] + 2*t[24] - 2*t[27] - 4*t[28] - 
       33*t[29] - 4*t[30] + 17*t[32] + 8*t[33] - 15*t[34] + 4*t[35] - 
       10*t[37] + 3*t[38] - 9*t[39] + 10*t[40] + (3*t[41])/2 - t[42]/2 - 
       4*t[43] + (13*t[44])/2 + 30*t[45] - 34*t[47] + (11*t[48])/4 - 
       (93*t[49])/4 - (21*t[50])/4 + (113*t[51])/8 + (17*t[52])/4 + 
       (45*t[53])/4 + (197*t[54])/4 + 7*t[59] + (147*t[60])/2 + 60*t[61] + 
       (33*t[62])/2 - (103*t[63])/2 - (103*t[64])/2 + 14*t[65] + 
       (116*t[66])/3 - 2*t[69] + 18*t[72] - 16*t[73] + 8*t[75] - 67*t[76] - 
       11*t[77] + 48*t[78] - 4*t[79] - 30*t[80] - 5*t[81] - 2*t[82] + 
       21*t[83] + 59*t[84] + 7*t[85] - 12*t[86] + 8*t[87] + 19*t[88] + 
       (123*t[89])/4 - 12*t[95] - 20*t[96] - 10*t[97] - 456*t[98] + 
       480*t[99] - 66*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((-25*t[1])/2 + 12*t[2] - (23*t[3])/2 + 
       (53*t[4])/2 - 35*t[5] + (93*t[6])/2 + 3*t[7] + 49*t[8] + (43*t[9])/2 - 
       50*t[10] + (77*t[11])/2 + 28*t[12] - (29*t[13])/18 + (241*t[14])/24 + 
       (107*t[15])/36 + 23*t[26] - 2*t[27] + 2*t[28] - 10*t[31] + 3*t[34] - 
       19*t[38] - 3*t[39] + 3*t[40] - (3*t[41])/2 + (3*t[42])/2 - 4*t[43] - 
       2*t[44] + 8*t[45] + 6*t[46] - 16*t[47] + 14*t[48] - (111*t[49])/2 + 
       20*t[50] + (85*t[51])/8 - 9*t[52] + (33*t[53])/2 - (25*t[54])/2 + 
       3*t[58] + 7*t[59] + (147*t[60])/2 + 60*t[61] + (33*t[62])/2 - 
       (103*t[63])/2 - (103*t[64])/2 + 14*t[65] + (116*t[66])/3 - 2*t[69] + 
       18*t[72] - 16*t[73] + 8*t[75] - 67*t[76] - 11*t[77] + 48*t[78] - 
       4*t[79] - 30*t[80] - 5*t[81] - 2*t[82] + 21*t[83] + 59*t[84] + 
       7*t[85] - 12*t[86] + 8*t[87] + 19*t[88] + (123*t[89])/4 - 12*t[95] - 
       20*t[96] - 10*t[97] - 456*t[98] + 480*t[99] - 66*t[100])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - v]^2*((11*t[1])/3 - (13*t[2])/3 - (116*t[3])/3 + 
       22*t[4] - (73*t[5])/6 + (413*t[6])/24 + (160*t[7])/3 + (73*t[8])/2 + 
       (493*t[9])/12 + (37*t[10])/3 + (1147*t[11])/24 + (53*t[12])/6 + 
       (1489*t[13])/54 + (2789*t[14])/72 + (5011*t[15])/216 - 2*t[19] + 
       4*t[20] + 2*t[21] - 2*t[22] - 2*t[23] + (14*t[27])/3 + 4*t[28] + 
       (37*t[29])/6 + 2*t[30] + (2*t[31])/3 + (17*t[32])/3 - (14*t[33])/3 + 
       (22*t[34])/3 - 8*t[35] + 4*t[36] + 2*t[37] + t[38]/3 + (10*t[39])/3 - 
       (3*t[40])/2 + (7*t[41])/3 - (7*t[42])/3 + t[43]/3 - (58*t[44])/3 - 
       7*t[45] + 2*t[46] + (29*t[47])/3 + (21*t[48])/8 + (23*t[49])/6 + 
       (175*t[50])/24 - (25*t[51])/12 - (143*t[52])/24 + (11*t[53])/2 - 
       (65*t[54])/8 + (17*t[59])/6 + (213*t[60])/4 + (391*t[61])/4 - 
       (851*t[62])/24 - (1325*t[63])/24 - (1375*t[64])/24 - (1033*t[65])/36 - 
       (803*t[66])/36 + 2*t[69] - (16*t[72])/3 + 12*t[73] + 2*t[74] + 
       8*t[75] + (107*t[76])/3 + (26*t[77])/3 - (142*t[78])/3 - 18*t[79] + 
       (34*t[80])/3 - (19*t[81])/3 - t[82] - 19*t[83] - (157*t[84])/12 - 
       (41*t[85])/12 - (170*t[86])/3 - (389*t[87])/12 - (293*t[88])/24 + 
       (889*t[89])/24 - 4*t[95] + 14*t[96] + (31*t[97])/3 + 184*t[98] - 
       184*t[99] - 55*t[100])*\[Zeta][3] + HPL[{0, 1}, 1 - w]^2*
      ((7*t[1])/6 - (89*t[2])/6 - (17*t[3])/2 + (521*t[4])/12 + (55*t[5])/2 + 
       (25*t[6])/2 - (57*t[7])/2 + (283*t[8])/6 - (64*t[9])/3 + 
       (1057*t[10])/24 - 12*t[11] - (343*t[12])/24 - (245*t[13])/54 + 
       (1939*t[14])/48 + (25*t[15])/72 + 2*t[25] - t[26] - (2*t[27])/3 + 
       (28*t[28])/3 + (2*t[29])/3 - (26*t[30])/3 + (26*t[31])/3 - 
       (11*t[34])/3 + 12*t[35] - 4*t[36] - 2*t[37] + t[38]/3 + 7*t[39] + 
       2*t[40] + (11*t[41])/6 - (11*t[42])/6 + (7*t[43])/3 - (8*t[44])/3 - 
       t[46] + (121*t[48])/6 + (189*t[49])/8 - (275*t[50])/6 - 
       (211*t[51])/16 + (217*t[52])/6 - (415*t[53])/24 + (91*t[54])/12 - 
       t[58] + (17*t[59])/6 + (213*t[60])/4 + (391*t[61])/4 - 
       (851*t[62])/24 - (1325*t[63])/24 - (1375*t[64])/24 - (1033*t[65])/36 - 
       (803*t[66])/36 + 2*t[69] - (16*t[72])/3 + 12*t[73] + 2*t[74] + 
       8*t[75] + (107*t[76])/3 + (26*t[77])/3 - (142*t[78])/3 - 18*t[79] + 
       (34*t[80])/3 - (19*t[81])/3 - t[82] - 19*t[83] - (157*t[84])/12 - 
       (41*t[85])/12 - (170*t[86])/3 - (389*t[87])/12 - (293*t[88])/24 + 
       (889*t[89])/24 - 4*t[95] + 14*t[96] + (31*t[97])/3 + 184*t[98] - 
       184*t[99] - 55*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*(-70*t[2] - 105*t[3] - 69*t[4] - (329*t[5])/2 + 
       (93*t[6])/2 - (133*t[7])/2 + (265*t[8])/2 - (137*t[9])/2 - t[10]/2 - 
       91*t[11] + (47*t[12])/2 - (551*t[13])/12 - (583*t[14])/12 - 
       (869*t[15])/36 + 4*t[19] - 4*t[20] - 8*t[21] - 4*t[22] + 8*t[23] + 
       4*t[24] - 8*t[27] - 24*t[28] + 8*t[29] + 6*t[30] + 37*t[32] - 
       14*t[33] - 8*t[34] + 20*t[35] + 4*t[36] + 4*t[37] + 2*t[38] - 
       20*t[39] + 7*t[40] + 4*t[41] - 4*t[42] - 2*t[43] + 2*t[44] + 
       28*t[45] - 3*t[46] - 18*t[47] + 26*t[48] - 66*t[49] + 9*t[50] + 
       (131*t[51])/4 - 9*t[52] + 58*t[53] + 98*t[54] + 3*t[59] + 95*t[60] + 
       99*t[61] - 185*t[62] + 36*t[63] + (419*t[64])/2 + (493*t[65])/3 + 
       t[66] + 12*t[69] + 8*t[70] - 8*t[71] - 8*t[72] - 20*t[73] - 4*t[74] - 
       60*t[75] - 66*t[76] - 10*t[77] + 34*t[78] - 12*t[79] - 36*t[80] - 
       6*t[81] - 36*t[82] + 8*t[83] + 71*t[84] + 17*t[85] + 44*t[86] + 
       77*t[87] + (153*t[88])/2 + 73*t[89] - 8*t[95] - 24*t[96] - 6*t[97] - 
       160*t[98] + 104*t[99] - 50*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*(-7*t[1] - 8*t[2] - (57*t[3])/2 + 
       44*t[4] - (117*t[5])/2 + (173*t[6])/2 - (13*t[7])/2 + (299*t[8])/2 + 
       (27*t[9])/2 + (15*t[10])/2 + 77*t[11] + (47*t[12])/2 + 
       (853*t[13])/36 + (931*t[14])/12 + (89*t[15])/18 + 16*t[25] - 
       10*t[26] - 8*t[27] + 10*t[28] - 12*t[30] - 14*t[31] + 2*t[34] - 
       12*t[35] + 8*t[36] + 4*t[37] - 6*t[38] - 4*t[39] - t[41] + t[42] + 
       2*t[43] + 6*t[44] + 4*t[45] - 15*t[46] - 8*t[47] + 46*t[48] - 
       44*t[49] - 18*t[50] + (65*t[51])/4 + 24*t[52] + 11*t[53] + 45*t[54] + 
       2*t[58] + 3*t[59] + 95*t[60] + 99*t[61] - 185*t[62] + 36*t[63] + 
       (419*t[64])/2 + (493*t[65])/3 + t[66] + 12*t[69] + 8*t[70] - 8*t[71] - 
       8*t[72] - 20*t[73] - 4*t[74] - 60*t[75] - 66*t[76] - 10*t[77] + 
       34*t[78] - 12*t[79] - 36*t[80] - 6*t[81] - 36*t[82] + 8*t[83] + 
       71*t[84] + 17*t[85] + 44*t[86] + 77*t[87] + (153*t[88])/2 + 73*t[89] - 
       8*t[95] - 24*t[96] - 6*t[97] - 160*t[98] + 104*t[99] - 50*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-7*t[1])/3 + 33*t[2] - (419*t[3])/12 + (59*t[4])/2 - (203*t[5])/6 + 
       (691*t[6])/12 + (287*t[7])/12 + (737*t[8])/12 + (439*t[9])/4 - 
       (35*t[10])/12 + (229*t[11])/6 + (119*t[12])/6 + (2281*t[13])/72 + 
       (947*t[14])/8 + (839*t[15])/54 + 2*t[19] + 12*t[20] + 8*t[21] - 
       8*t[22] - (32*t[23])/3 + 4*t[24] - 4*t[27] + 22*t[28] + t[29] - 
       (14*t[30])/3 + 16*t[31] + t[32]/3 + (44*t[33])/3 + (20*t[34])/3 - 
       16*t[35] - 6*t[36] - (32*t[37])/3 - 3*t[38] - (32*t[40])/3 + t[41] - 
       t[42] + (5*t[43])/12 - (15*t[44])/2 - (49*t[45])/6 - 5*t[46] - 
       11*t[47] + t[48]/2 + 2*t[49] + (43*t[50])/6 - (19*t[51])/8 + 
       (49*t[52])/6 - (11*t[53])/2 + (29*t[54])/3 - (8*t[59])/3 + 
       (376*t[60])/3 + (709*t[61])/6 + t[62]/3 + 35*t[63] - (1273*t[64])/6 + 
       (28*t[65])/9 - (301*t[66])/3 - 2*t[69] + (4*t[70])/3 - (4*t[71])/3 + 
       4*t[72] + (2*t[74])/3 + 24*t[75] - (26*t[76])/3 + (16*t[77])/3 + 
       29*t[78] - 20*t[79] + (56*t[80])/3 + (46*t[81])/3 - 29*t[82] - t[83] + 
       32*t[84] + (75*t[85])/2 - (118*t[86])/3 - 78*t[87] - (112*t[88])/3 - 
       (9*t[89])/2 - (4*t[95])/3 - (22*t[96])/3 - (5*t[97])/3 - 16*t[98] + 
       24*t[99] - 40*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((3*t[1])/2 - (17*t[2])/2 - (347*t[3])/12 + 
       (160*t[4])/3 - (248*t[5])/3 - (239*t[6])/12 - (35*t[7])/12 - 
       (179*t[8])/4 + (237*t[9])/4 + (31*t[10])/12 + (112*t[11])/3 - 
       (89*t[12])/6 + (3757*t[13])/216 + (3391*t[14])/72 - (7*t[15])/36 - 
       4*t[20] + (16*t[25])/3 - (20*t[26])/3 - 4*t[27] + 8*t[28] + 7*t[29] + 
       13*t[30] + t[32]/2 + 7*t[34] - 8*t[35] - (26*t[36])/3 - (26*t[37])/3 + 
       (2*t[38])/3 + (2*t[39])/3 + (7*t[40])/2 - (3*t[41])/2 + (3*t[42])/2 + 
       (3*t[43])/4 - t[44]/2 + (55*t[45])/6 + 2*t[46] - (55*t[47])/3 - 
       (47*t[48])/3 + (9*t[49])/2 + (19*t[50])/3 - (27*t[51])/8 - 14*t[52] - 
       (31*t[53])/2 - (40*t[54])/3 - 2*t[58] - (8*t[59])/3 + (376*t[60])/3 + 
       (709*t[61])/6 + t[62]/3 + 35*t[63] - (1273*t[64])/6 + (28*t[65])/9 - 
       (301*t[66])/3 - 2*t[69] + (4*t[70])/3 - (4*t[71])/3 + 4*t[72] + 
       (2*t[74])/3 + 24*t[75] - (26*t[76])/3 + (16*t[77])/3 + 29*t[78] - 
       20*t[79] + (56*t[80])/3 + (46*t[81])/3 - 29*t[82] - t[83] + 32*t[84] + 
       (75*t[85])/2 - (118*t[86])/3 - 78*t[87] - (112*t[88])/3 - 
       (9*t[89])/2 - (4*t[95])/3 - (22*t[96])/3 - (5*t[97])/3 - 16*t[98] + 
       24*t[99] - 40*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((3*t[2])/2 - (19*t[3])/4 + (53*t[4])/3 - 
       (83*t[5])/24 + (51*t[6])/4 - (157*t[7])/12 + (293*t[8])/12 - 
       (415*t[9])/24 + (53*t[10])/12 + 5*t[11] - (49*t[12])/8 + 
       (119*t[13])/8 + (23*t[14])/9 + (497*t[15])/144 - 2*t[19] + 2*t[20] + 
       t[21] + t[22] - t[23] - 2*t[24] + t[27] + 2*t[28] - t[29] + 2*t[31] - 
       t[32] + 3*t[33] + 2*t[35] + t[36] + 2*t[37] - t[41]/2 + t[42]/2 - 
       t[43]/2 + t[45] + t[46]/2 - 2*t[47] + (33*t[48])/4 + (14*t[49])/3 - 
       (33*t[50])/4 - (17*t[51])/8 + (37*t[52])/4 - (14*t[53])/3 + 
       (7*t[54])/12 + (257*t[60])/12 + (721*t[61])/12 + (55*t[62])/12 + 
       (27*t[63])/4 - (325*t[64])/24 + (145*t[65])/9 - (175*t[66])/3 - 
       3*t[69] - 3*t[72] - 2*t[73] - t[74] - 12*t[75] - 2*t[76] - t[77]/2 + 
       2*t[78] - 10*t[79] - 5*t[80] + 10*t[81] - 12*t[82] + (59*t[83])/6 + 
       (107*t[84])/12 + (47*t[85])/12 - (61*t[86])/3 - (31*t[87])/4 - 
       (27*t[88])/8 + (49*t[89])/24 - 12*t[98] + 16*t[99] - (79*t[100])/2)*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((-3*t[1])/2 - (145*t[3])/12 - 5*t[4] - (497*t[5])/24 + (425*t[6])/24 + 
       (125*t[7])/12 + (359*t[8])/12 + (91*t[9])/8 - (71*t[10])/3 + 
       (977*t[11])/24 + (401*t[12])/24 + (139*t[13])/12 + (841*t[14])/36 + 
       (223*t[15])/48 + 2*t[25] - 2*t[26] - 2*t[27] - (22*t[28])/3 - 
       (8*t[29])/3 - (7*t[30])/3 + 6*t[36] + 4*t[37] + t[40] + 2*t[43] + 
       (20*t[44])/3 + (7*t[46])/2 + (59*t[48])/8 - (47*t[49])/4 - 
       (263*t[50])/24 + (3*t[51])/2 + (263*t[52])/24 + (43*t[53])/4 + 
       (371*t[54])/24 + (257*t[60])/12 + (721*t[61])/12 + (55*t[62])/12 + 
       (27*t[63])/4 - (325*t[64])/24 + (145*t[65])/9 - (175*t[66])/3 - 
       3*t[69] - 3*t[72] - 2*t[73] - t[74] - 12*t[75] - 2*t[76] - t[77]/2 + 
       2*t[78] - 10*t[79] - 5*t[80] + 10*t[81] - 12*t[82] + (59*t[83])/6 + 
       (107*t[84])/12 + (47*t[85])/12 - (61*t[86])/3 - (31*t[87])/4 - 
       (27*t[88])/8 + (49*t[89])/24 - 12*t[98] + 16*t[99] - (79*t[100])/2)*
      \[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((8*t[1])/3 - (16*t[2])/3 - (217*t[3])/24 + (77*t[4])/4 - 
       (259*t[5])/24 + (749*t[6])/96 + (131*t[7])/24 + (311*t[8])/8 - 
       (527*t[9])/48 - (415*t[10])/24 + (5011*t[11])/96 + (335*t[12])/24 + 
       (457*t[13])/54 + (4529*t[14])/288 + (8809*t[15])/864 + (8*t[27])/3 - 
       13*t[28] - (11*t[29])/6 + (27*t[30])/2 - (10*t[31])/3 + (8*t[32])/3 - 
       (8*t[33])/3 - (8*t[34])/3 + t[36] + (4*t[38])/3 + (7*t[39])/3 + 
       (11*t[40])/2 + (4*t[41])/3 - (4*t[42])/3 + (4*t[43])/3 - 
       (55*t[44])/12 - 6*t[45] - t[46] + (44*t[47])/3 + (501*t[48])/32 + 
       (53*t[49])/24 - (353*t[50])/96 - (133*t[51])/48 + (97*t[52])/96 + 
       (25*t[53])/8 - (57*t[54])/32 + (4*t[59])/3 - (767*t[60])/16 + 
       (1869*t[61])/16 - (2609*t[62])/96 + (4465*t[63])/96 + 
       (4271*t[64])/96 - (577*t[65])/144 + (1549*t[66])/144 - (16*t[72])/3 + 
       3*t[73] + 5*t[75] + (26*t[76])/3 + (2*t[77])/3 - (91*t[78])/3 - 
       2*t[79] + (52*t[80])/3 + (8*t[81])/3 - (19*t[82])/2 - 20*t[83] - 
       (1669*t[84])/48 - (1073*t[85])/48 - (38*t[86])/3 + (1459*t[87])/48 + 
       (1459*t[88])/96 + (409*t[89])/96 + 8*t[96] + (16*t[97])/3 + 
       106*t[98] - 118*t[99] - 31*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*((8*t[1])/3 - (37*t[2])/12 - 
       (37*t[3])/4 - (1225*t[4])/48 + (67*t[5])/4 + (89*t[6])/8 + 
       (55*t[7])/4 + (35*t[8])/12 - (307*t[9])/12 + (2365*t[10])/96 - 
       (23*t[11])/8 - (2503*t[12])/96 - (13555*t[13])/432 + (1251*t[14])/64 + 
       (3601*t[15])/288 - (8*t[27])/3 + (16*t[28])/3 + (8*t[29])/3 + 
       t[30]/3 - t[31]/3 - (8*t[34])/3 - 6*t[35] + 6*t[36] + (4*t[38])/3 + 
       2*t[39] - t[40] + (4*t[41])/3 - (4*t[42])/3 + (13*t[43])/3 + 
       (25*t[44])/3 + 7*t[46] + (157*t[48])/24 + (613*t[49])/32 - 
       (311*t[50])/24 - (1105*t[51])/64 + (247*t[52])/24 - (1327*t[53])/96 + 
       (475*t[54])/48 + (4*t[59])/3 - (767*t[60])/16 + (1869*t[61])/16 - 
       (2609*t[62])/96 + (4465*t[63])/96 + (4271*t[64])/96 - 
       (577*t[65])/144 + (1549*t[66])/144 - (16*t[72])/3 + 3*t[73] + 
       5*t[75] + (26*t[76])/3 + (2*t[77])/3 - (91*t[78])/3 - 2*t[79] + 
       (52*t[80])/3 + (8*t[81])/3 - (19*t[82])/2 - 20*t[83] - 
       (1669*t[84])/48 - (1073*t[85])/48 - (38*t[86])/3 + (1459*t[87])/48 + 
       (1459*t[88])/96 + (409*t[89])/96 + 8*t[96] + (16*t[97])/3 + 
       106*t[98] - 118*t[99] - 31*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*((5*t[1])/12 + (31*t[2])/24 - 
       (505*t[3])/48 - (127*t[4])/24 - (3*t[5])/2 + (53*t[6])/4 - 
       (427*t[7])/24 + (305*t[8])/6 - (387*t[9])/8 - (775*t[10])/48 - 
       (7*t[11])/8 - (19*t[12])/16 - (5473*t[13])/432 - (5215*t[14])/288 + 
       (10705*t[15])/864 + t[18] + 2*t[19] + (7*t[20])/3 - 2*t[21] - 
       3*t[22] + 2*t[23] + 4*t[24] - (7*t[27])/3 - (4*t[28])/3 - 
       (37*t[29])/12 - (29*t[30])/6 - (4*t[31])/3 + (95*t[32])/12 - 
       (23*t[33])/6 + (7*t[34])/3 + 2*t[36] - 6*t[37] + (11*t[38])/6 - 
       (47*t[39])/12 + (11*t[40])/2 + (4*t[41])/3 - (5*t[42])/6 - t[43]/6 - 
       (85*t[44])/24 + (73*t[45])/4 - t[46]/2 - (217*t[47])/12 + 
       (31*t[48])/3 - (871*t[49])/48 - (15*t[50])/8 + (353*t[51])/32 - 
       (79*t[52])/24 + (623*t[53])/48 + (175*t[54])/8 - (5*t[59])/3 - 
       (61*t[60])/24 + (123*t[61])/8 - 6*t[62] - (14*t[63])/3 - 
       (15*t[64])/16 + (59*t[65])/9 + (965*t[66])/18 + t[69] + 2*t[70] - 
       2*t[71] + (26*t[72])/3 - 2*t[73] - (7*t[74])/2 + 16*t[75] - 
       (173*t[76])/6 - (35*t[77])/6 + (79*t[78])/6 - 8*t[79] - (41*t[80])/3 - 
       (127*t[81])/12 + (5*t[82])/2 - (26*t[83])/3 + (38*t[84])/3 - 
       (251*t[85])/24 - 15*t[86] + (116*t[87])/3 + (94*t[88])/3 + 
       (111*t[89])/16 - 4*t[95] - 9*t[96] - (11*t[97])/3 - 212*t[98] + 
       224*t[99] - (27*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((8*t[1])/3 + (19*t[2])/6 - (71*t[3])/24 + 
       (47*t[4])/24 - (235*t[5])/24 + (333*t[6])/16 - (29*t[7])/8 + 
       (275*t[8])/24 - (233*t[9])/24 - (35*t[10])/2 - (53*t[11])/48 - 
       (109*t[12])/24 - (3865*t[13])/432 + (53*t[14])/96 + (269*t[15])/72 - 
       (13*t[25])/3 + (25*t[26])/3 - (5*t[27])/3 + (4*t[28])/3 + 
       (8*t[29])/3 - (11*t[30])/3 - (22*t[31])/3 + (5*t[34])/6 + 4*t[35] + 
       (5*t[36])/2 - 4*t[37] - (8*t[38])/3 - 2*t[39] + (7*t[40])/2 - 
       (5*t[41])/12 + (5*t[42])/12 - (25*t[43])/6 - (14*t[44])/3 + 4*t[45] - 
       (4*t[46])/3 - 8*t[47] + (353*t[48])/48 - (311*t[49])/24 + 
       (171*t[50])/16 + (353*t[51])/96 - (281*t[52])/48 + (157*t[53])/24 - 
       (113*t[54])/48 + (3*t[58])/2 - (5*t[59])/3 - (61*t[60])/24 + 
       (123*t[61])/8 - 6*t[62] - (14*t[63])/3 - (15*t[64])/16 + 
       (59*t[65])/9 + (965*t[66])/18 + t[69] + 2*t[70] - 2*t[71] + 
       (26*t[72])/3 - 2*t[73] - (7*t[74])/2 + 16*t[75] - (173*t[76])/6 - 
       (35*t[77])/6 + (79*t[78])/6 - 8*t[79] - (41*t[80])/3 - 
       (127*t[81])/12 + (5*t[82])/2 - (26*t[83])/3 + (38*t[84])/3 - 
       (251*t[85])/24 - 15*t[86] + (116*t[87])/3 + (94*t[88])/3 + 
       (111*t[89])/16 - 4*t[95] - 9*t[96] - (11*t[97])/3 - 212*t[98] + 
       224*t[99] - (27*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*((10*t[1])/3 - (4*t[3])/3 + (125*t[4])/12 - 
       (29*t[5])/6 + (107*t[6])/12 - (45*t[7])/4 - (41*t[8])/12 - 
       (7*t[9])/2 - (65*t[10])/24 + (23*t[11])/6 - (71*t[12])/24 + 
       (775*t[13])/108 - (7*t[14])/144 + (21*t[15])/8 - (8*t[25])/3 + 
       (5*t[26])/3 - (2*t[31])/3 - (4*t[35])/3 + 2*t[36] - t[37] + t[38] + 
       t[40] - (5*t[43])/2 - 2*t[44] + 2*t[45] + (23*t[46])/6 - 4*t[47] - 
       t[48]/12 - (27*t[49])/8 - (5*t[50])/12 - (25*t[51])/48 + 
       (5*t[52])/12 + (27*t[53])/8 - (2*t[54])/3 + (32*t[60])/3 + 
       (89*t[61])/3 + (253*t[62])/12 - (355*t[63])/12 - (347*t[64])/12 - 
       (286*t[65])/9 - 21*t[66] + (5*t[69])/3 - t[70]/3 + t[71]/3 + 4*t[72] + 
       (2*t[73])/3 - 3*t[74] + t[75]/3 - (5*t[76])/3 - t[77]/2 - t[78] - 
       12*t[79] - (5*t[80])/3 - 2*t[81] - t[82] - (4*t[83])/3 - 
       (13*t[84])/6 + (11*t[85])/6 - (130*t[86])/3 + (5*t[87])/6 + 
       (5*t[88])/12 + (41*t[89])/12 - (14*t[98])/3 + 6*t[99] - (23*t[100])/2)*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      ((-43*t[2])/12 - (89*t[3])/12 + (209*t[4])/12 - (3*t[5])/4 + 
       (71*t[6])/6 - (43*t[7])/12 + (45*t[8])/4 - (61*t[9])/6 - 
       (33*t[10])/8 + (41*t[11])/2 + (103*t[12])/24 + (1099*t[13])/72 + 
       (137*t[14])/16 + (29*t[15])/4 + t[18]/3 + (2*t[19])/3 + t[20] - 
       t[22] + t[29] + (8*t[31])/3 + (8*t[35])/3 - 2*t[37] + (2*t[41])/3 - 
       t[42]/2 + (5*t[43])/6 + (4*t[45])/3 - 2*t[47] + (11*t[48])/4 - 
       (31*t[49])/24 - (49*t[50])/12 + (21*t[51])/16 + (49*t[52])/12 + 
       (31*t[53])/24 + 5*t[54] + (32*t[60])/3 + (89*t[61])/3 + 
       (253*t[62])/12 - (355*t[63])/12 - (347*t[64])/12 - (286*t[65])/9 - 
       21*t[66] + (5*t[69])/3 - t[70]/3 + t[71]/3 + 4*t[72] + (2*t[73])/3 - 
       3*t[74] + t[75]/3 - (5*t[76])/3 - t[77]/2 - t[78] - 12*t[79] - 
       (5*t[80])/3 - 2*t[81] - t[82] - (4*t[83])/3 - (13*t[84])/6 + 
       (11*t[85])/6 - (130*t[86])/3 + (5*t[87])/6 + (5*t[88])/12 + 
       (41*t[89])/12 - (14*t[98])/3 + 6*t[99] - (23*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*((-9*t[2])/8 + (13*t[3])/12 + 
       (17*t[4])/6 - (55*t[5])/48 - (5*t[6])/6 + (29*t[7])/4 - (35*t[8])/3 - 
       (115*t[9])/48 - (29*t[10])/12 + (137*t[11])/24 + (5*t[12])/48 + 
       (143*t[13])/72 + (41*t[14])/48 - (353*t[15])/288 - (2*t[20])/3 - 
       (17*t[28])/6 - t[29] - (4*t[30])/3 + t[32] - (7*t[33])/6 - 3*t[35] + 
       (37*t[44])/6 - (7*t[48])/6 + (5*t[49])/6 + (11*t[50])/6 - 
       (5*t[51])/12 - (11*t[52])/6 - (5*t[53])/6 - (7*t[54])/2 + 
       (10*t[60])/3 + (11*t[61])/4 - (115*t[62])/24 + (19*t[63])/24 - 
       (209*t[64])/24 - (13*t[65])/3 - 8*t[66] - (3*t[69])/2 - (3*t[73])/2 - 
       (3*t[74])/2 + (11*t[75])/2 + t[79] + (3*t[81])/2 - (3*t[82])/2 - 
       (83*t[83])/12 + (5*t[84])/4 + (7*t[85])/3 + (2*t[86])/3 - t[87]/6 + 
       (11*t[88])/12 - (31*t[89])/24 - (35*t[100])/4)*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*((-7*t[3])/12 - t[4]/3 - 
       (119*t[5])/48 + (17*t[6])/4 + (3*t[7])/4 + (23*t[8])/12 + 
       (49*t[9])/16 + (4*t[10])/3 + (41*t[11])/24 + (25*t[12])/16 - 
       (161*t[13])/72 + (19*t[14])/4 - (133*t[15])/96 - (4*t[25])/3 + 
       (4*t[26])/3 + (5*t[36])/2 + (11*t[46])/12 - t[48]/4 - (7*t[49])/3 - 
       (17*t[50])/12 - (11*t[51])/48 + (17*t[52])/12 + (7*t[53])/3 + 
       (3*t[54])/4 + (10*t[60])/3 + (11*t[61])/4 - (115*t[62])/24 + 
       (19*t[63])/24 - (209*t[64])/24 - (13*t[65])/3 - 8*t[66] - 
       (3*t[69])/2 - (3*t[73])/2 - (3*t[74])/2 + (11*t[75])/2 + t[79] + 
       (3*t[81])/2 - (3*t[82])/2 - (83*t[83])/12 + (5*t[84])/4 + 
       (7*t[85])/3 + (2*t[86])/3 - t[87]/6 + (11*t[88])/12 - (31*t[89])/24 - 
       (35*t[100])/4)*\[Zeta][3] + HPL[{1}, 1 - v]^4*
      (-t[1]/12 - t[3]/4 - t[4]/6 + (7*t[6])/16 - (5*t[7])/12 + t[8]/12 + 
       t[9]/4 - (47*t[10])/24 + (97*t[11])/48 + t[12]/2 + (26*t[13])/9 - 
       (295*t[14])/144 + (11*t[15])/12 + t[25]/2 - t[26]/3 - (5*t[37])/12 - 
       t[38]/12 + (5*t[46])/12 + (7*t[48])/16 - (19*t[49])/24 - t[50]/16 + 
       (3*t[51])/4 + t[52]/16 + (19*t[53])/24 - (29*t[54])/48 - 
       (5*t[59])/12 + (97*t[60])/24 - t[61]/6 + (197*t[62])/48 - 
       (209*t[63])/48 - (47*t[64])/48 + (7*t[65])/4 - (23*t[66])/18 - 
       (2*t[69])/3 + t[70]/3 - t[71]/4 - t[73]/6 - (2*t[74])/3 + 
       (29*t[75])/6 - (2*t[79])/3 - t[81]/12 + t[82]/12 - (11*t[83])/2 + 
       (11*t[84])/12 + (7*t[85])/24 - (8*t[86])/3 - (85*t[87])/24 - 
       (85*t[88])/48 + (65*t[89])/48 - (3*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - w]^4*((5*t[2])/12 + (23*t[3])/12 + t[4]/8 + (11*t[5])/24 + 
       (71*t[6])/24 - (19*t[7])/6 + (65*t[8])/12 - (49*t[9])/24 - 
       (9*t[10])/16 - (3*t[11])/2 + (11*t[12])/48 + (73*t[13])/72 + 
       (31*t[14])/32 - (43*t[15])/72 + (4*t[20])/3 + (8*t[28])/3 + t[29]/12 - 
       (4*t[30])/3 + (4*t[33])/3 + t[35]/3 - (4*t[44])/3 + (67*t[48])/24 - 
       (3*t[49])/16 - (17*t[50])/8 + (3*t[51])/32 + (17*t[52])/8 + 
       (3*t[53])/16 + (5*t[54])/2 - (5*t[59])/12 + (97*t[60])/24 - t[61]/6 + 
       (197*t[62])/48 - (209*t[63])/48 - (47*t[64])/48 + (7*t[65])/4 - 
       (23*t[66])/18 - (2*t[69])/3 + t[70]/3 - t[71]/4 - t[73]/6 - 
       (2*t[74])/3 + (29*t[75])/6 - (2*t[79])/3 - t[81]/12 + t[82]/12 - 
       (11*t[83])/2 + (11*t[84])/12 + (7*t[85])/24 - (8*t[86])/3 - 
       (85*t[87])/24 - (85*t[88])/48 + (65*t[89])/48 - (3*t[100])/2)*
      \[Zeta][3] + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      (-9*t[2] - (97*t[3])/6 - (161*t[4])/12 - (695*t[5])/24 + 
       (211*t[6])/24 - (19*t[7])/4 + (397*t[8])/12 - (455*t[9])/24 + 
       (209*t[10])/24 - (721*t[11])/24 - (4*t[12])/3 - (111*t[13])/8 - 
       (109*t[14])/16 - (451*t[15])/144 + t[18] + (13*t[20])/3 - t[22] - 
       t[23] + 2*t[24] - (7*t[28])/3 + t[29] + t[30]/6 + (31*t[32])/4 - 
       (2*t[33])/3 - 2*t[34] - 2*t[35] + t[36] + 2*t[37] + t[38]/2 - 
       (5*t[39])/2 - (3*t[40])/4 + 3*t[41] - (5*t[42])/2 - (11*t[44])/6 + 
       10*t[45] - 11*t[47] + (323*t[48])/24 - (313*t[49])/24 - t[50]/24 + 
       (313*t[51])/48 + (49*t[52])/24 + (265*t[53])/24 + (177*t[54])/8 + 
       (3*t[59])/4 + (379*t[60])/12 + (23*t[61])/4 - (122*t[62])/3 - 
       (13*t[63])/3 + (733*t[64])/24 + (163*t[65])/6 + (169*t[66])/12 - 
       2*t[69] + 3*t[70] - 3*t[71] - 4*t[73] - 2*t[74] + 2*t[75] - 
       (37*t[76])/2 + 5*t[77] + (29*t[78])/2 - 3*t[79] - 16*t[80] - 
       (5*t[81])/2 + t[82]/2 - (25*t[83])/6 + 17*t[84] - (17*t[85])/12 + 
       (65*t[86])/3 + (28*t[87])/3 + (41*t[88])/3 + (605*t[89])/24 - 
       2*t[95] - 5*t[96] - (3*t[97])/2 - 50*t[98] + 46*t[99] - (3*t[100])/2)*
      \[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      ((-11*t[1])/4 - 2*t[2] - (13*t[3])/3 + (197*t[4])/12 - (47*t[5])/3 + 
       (167*t[6])/8 + (15*t[7])/4 + (443*t[8])/12 + 12*t[9] + (29*t[10])/6 + 
       (53*t[11])/24 + 5*t[12] + (361*t[13])/36 + (371*t[14])/24 - 
       (7*t[15])/24 + (5*t[25])/3 + (23*t[26])/6 - 2*t[27] + t[28] - 
       2*t[30] - t[31] + t[34]/2 + 2*t[35] - 3*t[37] - (9*t[38])/2 + 
       (3*t[39])/2 - 2*t[40] - t[41]/4 + t[42]/4 - t[43]/2 - t[44] - 
       (5*t[46])/6 + (81*t[48])/8 - (121*t[49])/12 - (49*t[50])/24 + 
       (19*t[51])/12 + (85*t[52])/24 + (10*t[53])/3 + (73*t[54])/8 + 
       t[58]/2 + (3*t[59])/4 + (379*t[60])/12 + (23*t[61])/4 - 
       (122*t[62])/3 - (13*t[63])/3 + (733*t[64])/24 + (163*t[65])/6 + 
       (169*t[66])/12 - 2*t[69] + 3*t[70] - 3*t[71] - 4*t[73] - 2*t[74] + 
       2*t[75] - (37*t[76])/2 + 5*t[77] + (29*t[78])/2 - 3*t[79] - 16*t[80] - 
       (5*t[81])/2 + t[82]/2 - (25*t[83])/6 + 17*t[84] - (17*t[85])/12 + 
       (65*t[86])/3 + (28*t[87])/3 + (41*t[88])/3 + (605*t[89])/24 - 
       2*t[95] - 5*t[96] - (3*t[97])/2 - 50*t[98] + 46*t[99] - (3*t[100])/2)*
      \[Zeta][3] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      ((-4*t[3])/3 + (7*t[5])/12 - (5*t[6])/6 - (5*t[7])/6 - (3*t[8])/2 - 
       (25*t[9])/12 + (7*t[10])/6 - t[11]/3 - (7*t[12])/12 - (4*t[13])/9 + 
       (59*t[14])/36 + (95*t[15])/72 + (2*t[28])/3 - (8*t[29])/3 + 
       (8*t[30])/3 + 3*t[44] - (13*t[48])/6 + (5*t[50])/6 - (5*t[52])/6 - 
       (5*t[54])/6 - (5*t[60])/3 + 2*t[61] + (5*t[62])/2 + (21*t[63])/2 - 
       4*t[64] - (19*t[65])/9 + (55*t[66])/9 + (2*t[73])/3 - (34*t[75])/3 + 
       (2*t[79])/3 + 9*t[83] - (4*t[84])/3 - (4*t[85])/3 - (14*t[86])/3 + 
       (13*t[87])/3 + (13*t[88])/6 + t[89]/3 + 2*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*((-5*t[4])/3 + (7*t[5])/12 - 
       (7*t[7])/6 - (7*t[8])/6 - (7*t[9])/12 + (2*t[10])/3 - (23*t[11])/6 - 
       (15*t[12])/4 - (7*t[13])/3 + (25*t[14])/12 - (13*t[15])/72 + 
       (2*t[36])/3 + t[49]/2 - t[51] - t[53]/2 + (4*t[54])/3 - (5*t[60])/3 + 
       2*t[61] + (5*t[62])/2 + (21*t[63])/2 - 4*t[64] - (19*t[65])/9 + 
       (55*t[66])/9 + (2*t[73])/3 - (34*t[75])/3 + (2*t[79])/3 + 9*t[83] - 
       (4*t[84])/3 - (4*t[85])/3 - (14*t[86])/3 + (13*t[87])/3 + 
       (13*t[88])/6 + t[89]/3 + 2*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*((-17*t[2])/6 + (5*t[3])/4 - 
       (5*t[4])/12 - (5*t[5])/4 - (7*t[6])/6 + t[7] - (11*t[8])/6 - 
       (19*t[9])/4 + t[10]/24 + (5*t[11])/2 + (47*t[12])/24 - (9*t[13])/8 - 
       (577*t[14])/144 + (59*t[15])/72 + t[20] - (22*t[28])/3 + 2*t[29] + 
       (8*t[30])/3 + t[32] - t[33] + (20*t[35])/3 - t[44]/3 - (29*t[48])/12 - 
       t[49]/24 + (13*t[50])/12 + t[51]/48 - (13*t[52])/12 + t[53]/24 - 
       t[54] + (5*t[59])/6 - (47*t[60])/12 + (29*t[61])/12 - (77*t[62])/24 + 
       (277*t[63])/24 + (65*t[64])/24 - 4*t[65] + (5*t[66])/3 + (5*t[69])/3 - 
       t[70]/3 + t[71]/3 - t[73]/3 - (4*t[74])/3 - (25*t[75])/3 + 
       (2*t[79])/3 - t[81]/6 + t[82]/6 + (29*t[83])/3 - (3*t[84])/2 - 
       (17*t[85])/12 + (3*t[87])/4 - t[88]/8 - (27*t[89])/8 + (7*t[100])/2)*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      (t[3]/6 - 2*t[4] - (3*t[5])/4 - t[6]/8 - t[7]/6 - t[8]/2 + 
       (7*t[9])/12 - (7*t[10])/12 - (9*t[11])/8 + (47*t[12])/12 - 
       (29*t[13])/9 + (65*t[14])/24 - (37*t[15])/72 - t[25]/3 + t[26]/3 + 
       2*t[36] + (2*t[37])/3 + t[46]/2 - t[48]/8 + t[49]/12 + (5*t[50])/24 - 
       (4*t[51])/3 - (5*t[52])/24 - t[53]/12 + (9*t[54])/8 + (5*t[59])/6 - 
       (47*t[60])/12 + (29*t[61])/12 - (77*t[62])/24 + (277*t[63])/24 + 
       (65*t[64])/24 - 4*t[65] + (5*t[66])/3 + (5*t[69])/3 - t[70]/3 + 
       t[71]/3 - t[73]/3 - (4*t[74])/3 - (25*t[75])/3 + (2*t[79])/3 - 
       t[81]/6 + t[82]/6 + (29*t[83])/3 - (3*t[84])/2 - (17*t[85])/12 + 
       (3*t[87])/4 - t[88]/8 - (27*t[89])/8 + (7*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((-11*t[3])/12 - t[4]/4 + (11*t[5])/24 + (26*t[6])/3 - 5*t[7] + 
       (13*t[8])/2 - (11*t[9])/8 - (529*t[10])/24 + (133*t[11])/6 + 
       (107*t[12])/12 + (21*t[13])/4 + (575*t[14])/144 - (499*t[15])/144 - 
       13*t[28] - (10*t[31])/3 + 3*t[36] - 3*t[39] + 3*t[40] + (4*t[43])/3 + 
       2*t[44] - 6*t[45] + t[46] + 12*t[47] + (3*t[48])/4 - (91*t[49])/24 - 
       (55*t[50])/12 - (39*t[51])/16 + (55*t[52])/12 + (91*t[53])/24 + 
       (10*t[54])/3 - (38*t[60])/3 + (27*t[61])/2 - (161*t[62])/6 + 
       (57*t[63])/2 + (219*t[64])/4 - (95*t[65])/6 - (635*t[66])/18 - 
       14*t[72] - 2*t[73] - 28*t[75] + 2*t[76] - 2*t[77] - 18*t[78] + 
       2*t[79] + 12*t[80] + t[81] - (19*t[82])/3 + 30*t[83] - (37*t[84])/6 + 
       (23*t[85])/3 - (46*t[86])/3 + (70*t[87])/3 + (35*t[88])/3 + 
       (65*t[89])/4 + 28*t[98] - 36*t[99] + 11*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*(t[1]/2 + (37*t[2])/4 + 
       (55*t[3])/8 - (5*t[4])/2 - (5*t[5])/16 + (103*t[6])/24 - (33*t[7])/8 + 
       (211*t[8])/8 - (331*t[9])/48 - (497*t[10])/24 + (23*t[11])/3 + 
       (113*t[12])/48 + (105*t[13])/16 - (365*t[14])/24 + (173*t[15])/288 - 
       2*t[19] + (4*t[20])/3 + (3*t[21])/2 + t[22] - (3*t[23])/2 - 
       (10*t[25])/3 + (7*t[26])/3 + t[27] + (8*t[28])/3 + t[30]/6 + t[31] + 
       t[32] + (4*t[33])/3 + 3*t[35] + 3*t[36] - (3*t[37])/2 + t[38] - 
       t[41]/4 + t[42]/4 - (4*t[44])/3 - t[45] + (29*t[46])/12 + 3*t[47] + 
       (11*t[48])/24 - 2*t[49] - (155*t[50])/24 - (25*t[51])/48 + 
       (179*t[52])/24 + 2*t[53] - (23*t[54])/8 + t[57] - 2*t[59] - 
       (205*t[60])/12 - (95*t[61])/4 + (349*t[62])/24 - (1429*t[63])/24 + 
       (305*t[64])/24 + (7*t[65])/2 - (23*t[66])/4 - 5*t[69] + 2*t[72] + 
       6*t[73] + t[74] + 12*t[75] + 2*t[76] - t[77] - 9*t[79] + 12*t[80] - 
       t[81]/2 - (15*t[82])/2 - (5*t[83])/6 - (21*t[84])/4 + (38*t[85])/3 + 
       (58*t[86])/3 + (55*t[87])/6 + (55*t[88])/12 + (361*t[89])/24 - 
       4*t[98] + 16*t[99] + 25*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*((5*t[1])/3 - (331*t[2])/12 + 
       (35*t[3])/6 - (49*t[4])/16 - (89*t[5])/24 - (25*t[6])/3 - 
       (127*t[7])/4 - (65*t[8])/4 - (913*t[9])/24 + (1629*t[10])/32 - 
       (539*t[11])/12 - (219*t[12])/32 - (8233*t[13])/432 - 
       (3581*t[14])/192 - (1423*t[15])/288 - t[18] - (2*t[20])/3 - 2*t[21] + 
       2*t[22] + 2*t[23] - 2*t[24] - (5*t[27])/3 + 8*t[28] + (14*t[29])/3 + 
       (5*t[30])/2 + (14*t[31])/3 - (17*t[32])/4 + (7*t[33])/3 - 
       (8*t[34])/3 + 6*t[35] - 2*t[36] + 2*t[37] + (11*t[38])/6 - 
       (3*t[39])/2 + (17*t[40])/4 - t[41]/6 - t[42]/3 + (4*t[43])/3 - 
       4*t[44] + 4*t[45] - 5*t[47] + (23*t[48])/4 + (245*t[49])/96 - 
       (71*t[50])/4 - (281*t[51])/192 + (121*t[52])/12 + (25*t[53])/32 + 
       (703*t[54])/48 + (7*t[59])/12 - (1151*t[60])/48 - (573*t[61])/16 + 
       (107*t[62])/32 + (1871*t[63])/96 + (447*t[64])/32 + (1085*t[65])/144 + 
       (5491*t[66])/144 + 2*t[69] - (49*t[72])/3 + 2*t[73] - 4*t[74] + 
       12*t[75] + (43*t[76])/6 + (17*t[77])/3 - (101*t[78])/6 - 12*t[79] - 
       (14*t[80])/3 - (47*t[81])/6 - 2*t[82] - (104*t[83])/3 - 
       (703*t[84])/48 - (415*t[85])/48 - 44*t[86] + (917*t[87])/48 - 
       (43*t[88])/96 + (1129*t[89])/32 + 2*t[95] + 7*t[96] + (11*t[97])/6 + 
       56*t[98] - 60*t[99] + 50*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*((-19*t[1])/12 - (43*t[2])/12 - 
       (31*t[3])/8 + (43*t[4])/6 - (5*t[5])/24 + (791*t[6])/96 + 
       (11*t[7])/24 + (415*t[8])/24 - (41*t[9])/48 + (421*t[10])/24 - 
       (157*t[11])/32 + (113*t[12])/24 + (533*t[13])/108 - (2245*t[14])/288 + 
       (3943*t[15])/864 + (2*t[25])/3 + (5*t[26])/6 + (2*t[27])/3 + 6*t[28] + 
       (13*t[29])/6 + (9*t[30])/2 + (8*t[31])/3 + (8*t[32])/3 - (8*t[33])/3 - 
       (13*t[34])/6 - 6*t[35] + 2*t[36] + t[37] - (7*t[38])/6 + 
       (37*t[39])/12 - (13*t[40])/4 + (13*t[41])/12 - (13*t[42])/12 + 
       t[43]/3 - (29*t[44])/6 - (10*t[46])/3 + (8*t[47])/3 + (335*t[48])/32 + 
       (39*t[49])/8 + (215*t[50])/32 - (5*t[51])/16 - (373*t[52])/96 + 
       (113*t[53])/24 - (115*t[54])/32 + t[58]/2 + (7*t[59])/12 - 
       (1151*t[60])/48 - (573*t[61])/16 + (107*t[62])/32 + (1871*t[63])/96 + 
       (447*t[64])/32 + (1085*t[65])/144 + (5491*t[66])/144 + 2*t[69] - 
       (49*t[72])/3 + 2*t[73] - 4*t[74] + 12*t[75] + (43*t[76])/6 + 
       (17*t[77])/3 - (101*t[78])/6 - 12*t[79] - (14*t[80])/3 - 
       (47*t[81])/6 - 2*t[82] - (104*t[83])/3 - (703*t[84])/48 - 
       (415*t[85])/48 - 44*t[86] + (917*t[87])/48 - (43*t[88])/96 + 
       (1129*t[89])/32 + 2*t[95] + 7*t[96] + (11*t[97])/6 + 56*t[98] - 
       60*t[99] + 50*t[100])*\[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - w]*
      ((57*t[2])/2 - (107*t[3])/2 - (115*t[4])/2 + 116*t[5] + (491*t[6])/4 - 
       (353*t[7])/2 + (229*t[8])/2 - 199*t[9] + (285*t[10])/4 - 
       (1257*t[11])/4 - (557*t[12])/4 - (6691*t[13])/36 - (69*t[14])/8 + 
       (153*t[15])/2 + 14*t[18] + 6*t[19] + 24*t[20] + 12*t[21] - 12*t[22] - 
       4*t[23] + 12*t[24] + 12*t[27] + 24*t[28] - 10*t[29] - 9*t[30] + 
       12*t[31] + (81*t[32])/2 + 6*t[33] - 18*t[34] - 24*t[35] - 12*t[36] - 
       12*t[37] + 3*t[38] - 15*t[39] + (15*t[40])/2 - 10*t[41] + 17*t[42] - 
       12*t[43] + 3*t[44] + 56*t[45] + 6*t[46] - 164*t[47] + (219*t[48])/4 + 
       (7*t[49])/4 + (55*t[50])/4 + (45*t[51])/8 - (31*t[52])/4 - 
       (55*t[53])/4 + (295*t[54])/4 - (45*t[59])/2 + (49*t[60])/2 - 
       (273*t[61])/2 + (901*t[62])/2 + (307*t[63])/2 - (1929*t[64])/4 - 
       (43*t[65])/2 + 538*t[66] + 24*t[72] - 4*t[73] + 12*t[74] + 68*t[75] - 
       109*t[76] - 18*t[77] + 101*t[78] - 28*t[79] - 152*t[80] - 60*t[81] + 
       62*t[82] - 116*t[83] + (39*t[84])/2 - (9*t[85])/2 - 448*t[86] + 
       32*t[87] + 73*t[88] - (187*t[89])/4 - 12*t[95] - 30*t[96] - 9*t[97] - 
       216*t[98] + 216*t[99] + 90*t[100])*\[Zeta][3] + 
     HPL[{0, 1, 1, 1}, 1 - v]*((43*t[1])/2 + (3*t[2])/2 + (85*t[3])/2 + 
       (323*t[4])/2 - (229*t[5])/4 + (93*t[6])/4 - (421*t[7])/2 - 
       (81*t[8])/2 - (303*t[9])/4 + (127*t[10])/2 - (5*t[11])/4 - 
       (105*t[12])/4 - (2131*t[13])/36 - (91*t[14])/2 - (67*t[15])/8 - 
       16*t[25] + t[26] + 12*t[27] + 24*t[28] + 16*t[29] + 4*t[30] + 
       4*t[31] + 3*t[34] - 32*t[35] - 24*t[36] - 12*t[37] + 9*t[38] + 
       3*t[39] + 28*t[40] - (3*t[41])/2 + (3*t[42])/2 - 23*t[43] - 92*t[44] + 
       24*t[45] - 4*t[46] - 48*t[47] - (101*t[48])/4 - 47*t[49] + 
       (123*t[50])/4 + (11*t[51])/2 - (87*t[52])/4 - (11*t[53])/2 - 
       (165*t[54])/4 + 3*t[58] - (45*t[59])/2 + (49*t[60])/2 - 
       (273*t[61])/2 + (901*t[62])/2 + (307*t[63])/2 - (1929*t[64])/4 - 
       (43*t[65])/2 + 538*t[66] + 24*t[72] - 4*t[73] + 12*t[74] + 68*t[75] - 
       109*t[76] - 18*t[77] + 101*t[78] - 28*t[79] - 152*t[80] - 60*t[81] + 
       62*t[82] - 116*t[83] + (39*t[84])/2 - (9*t[85])/2 - 448*t[86] + 
       32*t[87] + 73*t[88] - (187*t[89])/4 - 12*t[95] - 30*t[96] - 9*t[97] - 
       216*t[98] + 216*t[99] + 90*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (-t[1]/2 - (27*t[2])/4 - (131*t[3])/24 - 2*t[4] + (433*t[5])/24 + 
       (1255*t[6])/48 - (763*t[7])/12 + (68*t[8])/3 - (79*t[9])/2 + 
       (283*t[10])/12 - (2207*t[11])/48 - (157*t[12])/24 - (119*t[13])/72 - 
       (2135*t[14])/144 + (185*t[15])/16 - 4*t[19] + 6*t[20] + 4*t[21] + 
       2*t[22] - 4*t[23] - 4*t[24] + 4*t[27] + (26*t[28])/3 - (25*t[29])/6 + 
       (17*t[30])/3 + 10*t[31] - 10*t[32] + 14*t[33] - 2*t[34] - 4*t[35] - 
       2*t[36] + 4*t[37] - t[38] + (13*t[39])/2 - (19*t[40])/2 - 
       (3*t[41])/2 + (3*t[42])/2 + t[43] + (23*t[44])/3 + 5*t[45] + 3*t[46] - 
       14*t[47] + (503*t[48])/16 + (33*t[49])/4 - (151*t[50])/48 - 
       (39*t[51])/8 + (631*t[52])/48 - (37*t[53])/4 + (31*t[54])/48 + 
       2*t[59] + (541*t[60])/24 - (889*t[61])/24 + (6157*t[62])/48 + 
       (1665*t[63])/16 - (3725*t[64])/48 + (4571*t[65])/72 + 
       (2371*t[66])/24 - 4*t[69] - 2*t[70] + 2*t[71] - 10*t[72] + 2*t[73] - 
       t[74] - 14*t[75] - (11*t[76])/2 + 10*t[77] + (71*t[78])/2 - 8*t[79] - 
       18*t[80] + (49*t[81])/2 - (37*t[82])/2 - (26*t[83])/3 - 
       (269*t[84])/24 - (107*t[85])/24 - (244*t[86])/3 - (187*t[87])/8 - 
       (299*t[88])/16 + (1187*t[89])/48 + 8*t[95] - 14*t[96] - t[97] - 
       48*t[98] + 48*t[99] + 112*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (-11*t[1] - (7*t[2])/2 - t[3]/2 - (701*t[4])/24 - (611*t[5])/24 + 
       19*t[6] - (91*t[7])/3 + (8*t[8])/3 + (989*t[9])/24 + (1979*t[10])/48 - 
       (281*t[11])/4 + (335*t[12])/16 - (1613*t[13])/72 + (985*t[14])/288 + 
       (343*t[15])/72 + 2*t[26] - 2*t[27] + 4*t[28] + 12*t[31] + 2*t[34] + 
       4*t[35] - t[36] + t[37] - 8*t[38] + (15*t[39])/2 - 4*t[40] - t[41] + 
       t[42] - 6*t[44] - 2*t[45] + 3*t[46] + 4*t[47] + (3*t[48])/4 + 
       (245*t[49])/48 - (89*t[50])/4 + (241*t[51])/32 + (73*t[52])/4 + 
       (235*t[53])/48 + (1361*t[54])/24 - t[58] + 2*t[59] + (541*t[60])/24 - 
       (889*t[61])/24 + (6157*t[62])/48 + (1665*t[63])/16 - (3725*t[64])/48 + 
       (4571*t[65])/72 + (2371*t[66])/24 - 4*t[69] - 2*t[70] + 2*t[71] - 
       10*t[72] + 2*t[73] - t[74] - 14*t[75] - (11*t[76])/2 + 10*t[77] + 
       (71*t[78])/2 - 8*t[79] - 18*t[80] + (49*t[81])/2 - (37*t[82])/2 - 
       (26*t[83])/3 - (269*t[84])/24 - (107*t[85])/24 - (244*t[86])/3 - 
       (187*t[87])/8 - (299*t[88])/16 + (1187*t[89])/48 + 8*t[95] - 
       14*t[96] - t[97] - 48*t[98] + 48*t[99] + 112*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((29*t[2])/2 + 93*t[3] + 19*t[4] + 
       (165*t[5])/2 - 73*t[6] - (83*t[7])/2 - (235*t[8])/2 - 68*t[9] + 
       (5*t[10])/2 + 68*t[11] - 3*t[12] + (473*t[13])/12 - (479*t[14])/6 - 
       (509*t[15])/18 - 4*t[19] + 4*t[20] + 4*t[21] + 2*t[22] - 4*t[23] + 
       4*t[27] + 4*t[28] + 32*t[29] + 18*t[30] - 27*t[32] + 8*t[34] - 
       4*t[35] + 4*t[37] - 2*t[38] + 10*t[39] - 11*t[40] - 2*t[41] + 
       2*t[42] + 7*t[43] - 2*t[44] - 24*t[45] + 22*t[47] - (23*t[48])/2 + 
       31*t[49] - (45*t[50])/2 - (37*t[51])/2 + (45*t[52])/2 - 23*t[53] - 
       (175*t[54])/2 - 15*t[59] - 153*t[60] - 154*t[61] + 36*t[62] + 
       68*t[63] + (393*t[64])/2 - (305*t[65])/6 - (349*t[66])/6 - 2*t[69] - 
       8*t[70] + 8*t[71] - 12*t[72] + 16*t[73] - 6*t[74] - 8*t[75] + 
       66*t[76] + 6*t[77] - 62*t[78] + 4*t[79] + 40*t[80] + 11*t[81] + 
       t[82] - 21*t[83] - (193*t[84])/2 - 14*t[85] + 24*t[86] - 28*t[88] - 
       (77*t[89])/2 + 24*t[95] + 24*t[96] + 6*t[97] + 432*t[98] - 456*t[99] + 
       114*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      (23*t[1] - 7*t[2] + (29*t[3])/2 - 48*t[4] - t[5] - 40*t[6] - 
       (5*t[7])/2 - (71*t[8])/2 + t[9]/2 - (9*t[10])/2 - 57*t[11] - 
       (45*t[12])/2 - (757*t[13])/36 - (140*t[14])/3 - (83*t[15])/9 - 
       8*t[25] - 18*t[26] + 4*t[27] - 2*t[28] + 4*t[30] + 10*t[31] - 
       2*t[34] + 6*t[36] - 4*t[37] + 26*t[38] + 4*t[39] - 2*t[40] + t[41] - 
       t[42] + 2*t[43] + 2*t[44] - 14*t[45] - 4*t[46] + 28*t[47] - 17*t[48] + 
       41*t[49] - 22*t[50] + (17*t[51])/2 + 16*t[52] - 2*t[53] + 46*t[54] - 
       2*t[58] - 15*t[59] - 153*t[60] - 154*t[61] + 36*t[62] + 68*t[63] + 
       (393*t[64])/2 - (305*t[65])/6 - (349*t[66])/6 - 2*t[69] - 8*t[70] + 
       8*t[71] - 12*t[72] + 16*t[73] - 6*t[74] - 8*t[75] + 66*t[76] + 
       6*t[77] - 62*t[78] + 4*t[79] + 40*t[80] + 11*t[81] + t[82] - 
       21*t[83] - (193*t[84])/2 - 14*t[85] + 24*t[86] - 28*t[88] - 
       (77*t[89])/2 + 24*t[95] + 24*t[96] + 6*t[97] + 432*t[98] - 456*t[99] + 
       114*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (-2*t[1] - (27*t[2])/2 + (67*t[3])/2 - (97*t[4])/2 - 39*t[5] - 
       29*t[6] - 65*t[7] - 55*t[8] - (191*t[9])/2 + (261*t[10])/4 - 
       136*t[11] - (57*t[12])/4 - (1519*t[13])/36 - (3103*t[14])/24 - 
       (377*t[15])/12 - 4*t[19] + 8*t[20] + 4*t[21] - 4*t[22] - 4*t[23] + 
       8*t[24] + 4*t[27] + 12*t[28] - 2*t[29] + 10*t[30] + 4*t[31] + t[32] + 
       10*t[33] - 4*t[34] - 8*t[35] + 8*t[36] + 8*t[37] + 2*t[38] - 8*t[39] + 
       11*t[40] + 4*t[41] - 4*t[42] + t[43] + 3*t[44] + 29*t[45] + t[46] - 
       34*t[47] + (45*t[48])/2 - (145*t[49])/4 - (23*t[50])/2 + 
       (143*t[51])/8 + (7*t[52])/2 + (113*t[53])/4 + 49*t[54] + t[59] - 
       (69*t[60])/2 - (391*t[61])/2 + (151*t[62])/4 - (203*t[63])/4 + 
       (313*t[64])/4 + (445*t[65])/3 + (452*t[66])/3 + 2*t[69] - 8*t[72] - 
       4*t[73] + 2*t[74] - 20*t[75] - 40*t[76] + 4*t[77] + 42*t[78] + 
       4*t[79] - 52*t[80] - 11*t[81] + 9*t[82] + 3*t[83] + 25*t[84] + 
       (23*t[85])/2 - 30*t[86] + (163*t[87])/2 + (163*t[88])/4 + 
       (479*t[89])/4 - 12*t[96] - 10*t[97] - 100*t[98] + 92*t[99] + 
       133*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      (-t[1] + 4*t[2] - 12*t[3] - 27*t[4] - (127*t[5])/2 + (197*t[6])/4 - 
       (63*t[7])/2 + (261*t[8])/2 - t[9] + (135*t[10])/2 - (241*t[11])/4 + 
       40*t[12] - (109*t[13])/36 - (277*t[14])/12 + (22*t[15])/9 - 8*t[25] + 
       14*t[26] + 4*t[27] - 16*t[28] + 4*t[30] + 2*t[34] + 12*t[35] - 
       6*t[36] - 4*t[37] - 6*t[38] + 2*t[39] - 6*t[40] - t[41] + t[42] - 
       (19*t[43])/2 - 8*t[44] + 15*t[46] + (119*t[48])/4 - 45*t[49] + 
       (7*t[50])/4 + 3*t[51] + (49*t[52])/4 + 36*t[53] + (145*t[54])/4 + 
       2*t[58] + t[59] - (69*t[60])/2 - (391*t[61])/2 + (151*t[62])/4 - 
       (203*t[63])/4 + (313*t[64])/4 + (445*t[65])/3 + (452*t[66])/3 + 
       2*t[69] - 8*t[72] - 4*t[73] + 2*t[74] - 20*t[75] - 40*t[76] + 
       4*t[77] + 42*t[78] + 4*t[79] - 52*t[80] - 11*t[81] + 9*t[82] + 
       3*t[83] + 25*t[84] + (23*t[85])/2 - 30*t[86] + (163*t[87])/2 + 
       (163*t[88])/4 + (479*t[89])/4 - 12*t[96] - 10*t[97] - 100*t[98] + 
       92*t[99] + 133*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(9*t[1] - (107*t[2])/2 + 81*t[3] - (273*t[4])/4 + 
       (633*t[5])/8 - (219*t[6])/2 - (137*t[7])/4 - (447*t[8])/4 - 
       (1443*t[9])/8 + (17*t[10])/8 - (219*t[11])/4 - (117*t[12])/4 - 
       (743*t[13])/18 - (2983*t[14])/16 - (725*t[15])/48 - 4*t[19] - 
       16*t[20] - 10*t[21] + 12*t[22] + 10*t[23] - 8*t[24] - 8*t[25] + 
       4*t[26] + 8*t[27] - 32*t[28] - (15*t[29])/2 + 5*t[30] - 18*t[31] - 
       (7*t[32])/2 - 16*t[33] - 7*t[34] + 32*t[35] + 8*t[36] + 6*t[37] + 
       10*t[38] - 3*t[39] + 12*t[40] + t[41]/2 - t[42]/2 - (11*t[43])/2 + 
       (35*t[44])/4 + (41*t[45])/2 + 11*t[46] + (17*t[47])/2 - 6*t[48] - 
       (71*t[49])/8 + 10*t[50] + (95*t[51])/16 - 26*t[52] + (119*t[53])/8 - 
       (183*t[54])/4 + 4*t[57] - (3*t[59])/2 - (647*t[60])/4 - 
       (681*t[61])/2 + (35*t[62])/4 - (303*t[63])/4 + (1195*t[64])/4 + 
       (241*t[65])/4 + (4037*t[66])/12 + 6*t[69] + 16*t[70] - 16*t[71] + 
       12*t[72] + 4*t[73] + 12*t[74] - 28*t[75] - (51*t[76])/2 + 4*t[77] + 
       (23*t[78])/2 + 32*t[79] - 42*t[80] - 38*t[81] + (59*t[82])/2 + t[83] - 
       (37*t[84])/4 - (229*t[85])/4 + 78*t[86] + (453*t[87])/4 + 
       (653*t[88])/8 + (485*t[89])/8 - 4*t[96] - 2*t[97] - 104*t[98] + 
       32*t[99] + 256*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-31*t[1])/2 + (15*t[2])/2 - (75*t[3])/4 - 
       69*t[4] + (93*t[5])/8 + (517*t[6])/8 - (307*t[7])/4 + (631*t[8])/4 - 
       (911*t[9])/8 + 92*t[10] - (1637*t[11])/8 - (65*t[12])/8 - 
       (7523*t[13])/72 - (1025*t[14])/16 - (1321*t[15])/144 - 8*t[18] - 
       4*t[19] - 12*t[21] + 6*t[22] + 12*t[23] - 8*t[24] + 8*t[25] + 
       4*t[27] - 12*t[28] - 2*t[29] - 16*t[30] - 16*t[31] + 28*t[32] - 
       2*t[33] - 28*t[34] + 8*t[35] + 6*t[36] + 15*t[37] - 8*t[38] + 
       (11*t[39])/2 - 11*t[40] - 6*t[41] + 2*t[42] + 8*t[43] - 3*t[44] + 
       14*t[45] + 12*t[46] - 18*t[47] + (385*t[48])/8 - 59*t[49] - 
       (271*t[50])/8 + (149*t[51])/16 + (335*t[52])/8 + (109*t[53])/2 + 
       (827*t[54])/8 + 4*t[57] - (3*t[59])/2 - (647*t[60])/4 - 
       (681*t[61])/2 + (35*t[62])/4 - (303*t[63])/4 + (1195*t[64])/4 + 
       (241*t[65])/4 + (4037*t[66])/12 + 6*t[69] + 16*t[70] - 16*t[71] + 
       12*t[72] + 4*t[73] + 12*t[74] - 28*t[75] - (51*t[76])/2 + 4*t[77] + 
       (23*t[78])/2 + 32*t[79] - 42*t[80] - 38*t[81] + (59*t[82])/2 + t[83] - 
       (37*t[84])/4 - (229*t[85])/4 + 78*t[86] + (453*t[87])/4 + 
       (653*t[88])/8 + (485*t[89])/8 - 4*t[96] - 2*t[97] - 104*t[98] + 
       32*t[99] + 256*t[100])*\[Zeta][3] + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((95*t[1])/6 + (77*t[2])/6 - (221*t[3])/12 + 
       (1417*t[4])/24 - (377*t[5])/12 + (931*t[6])/48 + (1069*t[7])/12 + 
       (773*t[8])/12 + (749*t[9])/8 + (57*t[10])/16 + (6701*t[11])/48 - 
       (649*t[12])/48 + (12791*t[13])/216 + (37559*t[14])/288 + 
       (449*t[15])/27 + 4*t[18] - 2*t[19] + 12*t[20] + 10*t[21] - 10*t[22] - 
       10*t[23] + 10*t[24] - 10*t[25] + 4*t[26] - 4*t[27] + (76*t[28])/3 + 
       (35*t[29])/6 + (22*t[30])/3 + (46*t[31])/3 - (71*t[32])/6 + 
       (22*t[33])/3 + (29*t[34])/3 - 4*t[35] - 4*t[36] - 8*t[37] + 
       (23*t[38])/3 + (10*t[39])/3 + 4*t[40] + (25*t[41])/6 - (13*t[42])/6 - 
       (13*t[43])/3 - (15*t[44])/2 - 17*t[45] + 2*t[46] + (77*t[47])/3 + 
       (65*t[48])/48 + (1849*t[49])/48 - (191*t[50])/48 - (2189*t[51])/96 + 
       (271*t[52])/48 - (1601*t[53])/48 - (1991*t[54])/48 - (10*t[59])/3 + 
       (211*t[60])/4 + (1503*t[61])/4 - (1915*t[62])/24 - (1621*t[63])/24 - 
       (4391*t[64])/24 - (215*t[65])/36 - (9685*t[66])/36 - 16*t[70] + 
       16*t[71] - (8*t[72])/3 + 16*t[73] + 48*t[75] + (136*t[76])/3 + 
       (28*t[77])/3 - (242*t[78])/3 - 48*t[79] + (110*t[80])/3 + 
       (82*t[81])/3 - 30*t[82] - 24*t[83] - (275*t[84])/12 + (41*t[85])/12 - 
       (136*t[86])/3 - (1303*t[87])/12 - (2023*t[88])/24 + (875*t[89])/24 - 
       8*t[95] + 22*t[96] + (26*t[97])/3 + 208*t[98] - 168*t[99] - 
       72*t[100] + 24*t[101])*\[Zeta][3] + HPL[{0, 0, 1, 1}, 1 - v]*
      ((44*t[1])/3 - (35*t[2])/2 + (61*t[3])/3 - (11*t[4])/2 + 
       (941*t[5])/12 - (1697*t[6])/12 - (125*t[7])/6 - (311*t[8])/6 - 
       (529*t[9])/4 + (1051*t[10])/12 + (887*t[11])/12 - (271*t[12])/6 - 
       (391*t[13])/12 - (3677*t[14])/24 - (9997*t[15])/216 - 4*t[19] - 
       16*t[20] - 10*t[21] + 12*t[22] + (10*t[23])/3 - 6*t[24] + 6*t[27] - 
       30*t[28] + 2*t[29] - (62*t[30])/3 - 24*t[31] + (88*t[32])/3 - 
       (28*t[33])/3 - (148*t[34])/3 + 24*t[35] + 12*t[36] + (40*t[37])/3 + 
       14*t[38] - 16*t[39] + (40*t[40])/3 + t[41] - t[42] - (17*t[43])/6 + 
       34*t[44] + (187*t[45])/3 + 8*t[46] - 28*t[47] + (13*t[48])/4 - 
       (3*t[49])/4 - (205*t[50])/12 + (45*t[51])/8 + (221*t[52])/12 + 
       (71*t[53])/4 - (793*t[54])/12 + 4*t[57] - (14*t[59])/3 + 
       (64*t[60])/3 + (11*t[61])/3 - (1621*t[62])/6 - (723*t[63])/2 + 
       (1685*t[64])/6 - (2155*t[65])/18 - (1115*t[66])/6 + 2*t[69] + 
       (16*t[70])/3 - (16*t[71])/3 + (26*t[74])/3 - 40*t[75] - (56*t[76])/3 - 
       (14*t[77])/3 - 38*t[78] + 28*t[79] - (208*t[80])/3 - (101*t[81])/3 + 
       15*t[82] + 33*t[83] - (85*t[84])/2 - 94*t[85] + (356*t[86])/3 + 
       131*t[87] + (559*t[88])/6 + (23*t[89])/2 - (40*t[95])/3 + 
       (44*t[96])/3 + (46*t[97])/3 - 208*t[98] + 192*t[99] + 152*t[100] + 
       24*t[101])*\[Zeta][3] + HPL[{0, 0, 1, 1}, 1 - w]*
      (28*t[1] - t[2]/2 - (20*t[3])/3 + (47*t[4])/6 + (661*t[5])/12 + 
       (775*t[6])/12 + (401*t[7])/6 + (309*t[8])/2 - (199*t[9])/4 - 
       (131*t[10])/12 + (1417*t[11])/12 + (325*t[12])/6 + (2161*t[13])/54 + 
       (1027*t[14])/72 - (213*t[15])/8 + 4*t[19] + 4*t[20] - (8*t[25])/3 - 
       (26*t[26])/3 + 6*t[27] - 16*t[28] - 10*t[29] - 18*t[30] + t[32] + 
       2*t[33] - 22*t[34] + 16*t[35] + (16*t[36])/3 + (10*t[37])/3 + 
       (68*t[38])/3 - (4*t[39])/3 - 5*t[40] + 7*t[41] - 7*t[42] - 
       (11*t[43])/2 + 5*t[44] - (61*t[45])/3 - 13*t[46] + (134*t[47])/3 + 
       (415*t[48])/12 - (57*t[49])/4 - (245*t[50])/12 + (155*t[51])/8 + 
       (151*t[52])/4 + (105*t[53])/4 - (109*t[54])/12 + 4*t[57] + 2*t[58] - 
       (14*t[59])/3 + (64*t[60])/3 + (11*t[61])/3 - (1621*t[62])/6 - 
       (723*t[63])/2 + (1685*t[64])/6 - (2155*t[65])/18 - (1115*t[66])/6 + 
       2*t[69] + (16*t[70])/3 - (16*t[71])/3 + (26*t[74])/3 - 40*t[75] - 
       (56*t[76])/3 - (14*t[77])/3 - 38*t[78] + 28*t[79] - (208*t[80])/3 - 
       (101*t[81])/3 + 15*t[82] + 33*t[83] - (85*t[84])/2 - 94*t[85] + 
       (356*t[86])/3 + 131*t[87] + (559*t[88])/6 + (23*t[89])/2 - 
       (40*t[95])/3 + (44*t[96])/3 + (46*t[97])/3 - 208*t[98] + 192*t[99] + 
       152*t[100] + 24*t[101])*\[Zeta][3] + HPL[{0, 1}, 1 - w]*
      (7*t[1] + 5*t[2] + (57*t[3])/4 - 154*t[4] + 43*t[5] - (399*t[6])/4 + 
       (339*t[7])/4 + (391*t[8])/4 - (427*t[9])/4 + (57*t[10])/4 - 31*t[11] + 
       (79*t[12])/2 - (1645*t[13])/24 - (466*t[14])/3 + (77*t[15])/2 - 
       4*t[16] - t[17] + 4*t[18] + 8*t[20] + 4*t[21] + 16*t[22] - 4*t[23] + 
       24*t[24] - 2*t[25] - 2*t[26] - 2*t[27] - 72*t[28] - 19*t[29] + 
       2*t[30] - 32*t[31] + 9*t[32] + 20*t[33] + 2*t[34] + 16*t[35] - 
       12*t[36] - 4*t[37] + 4*t[38] - 34*t[39] + 16*t[40] + 3*t[41] - t[42] - 
       (43*t[43])/4 + (15*t[44])/2 + (3*t[45])/2 + 6*t[46] + 5*t[47] - 
       18*t[48] + 9*t[49] + 74*t[50] - t[51] - 44*t[52] + 15*t[53] + 
       (11*t[54])/2 + 2*t[56] - 8*t[57] - 6*t[59] - 401*t[60] - 
       (509*t[61])/2 - (799*t[62])/4 - (363*t[63])/4 + (1863*t[64])/4 + 
       (1081*t[65])/6 + (593*t[66])/2 - 4*t[67] + 10*t[68] - 4*t[70] + 
       4*t[71] - 24*t[72] + 8*t[73] - 4*t[74] - 112*t[75] - 20*t[77] + 
       6*t[78] + 104*t[79] - 4*t[80] - 36*t[81] + 64*t[82] + 196*t[83] - 
       (129*t[84])/2 - (207*t[85])/2 + 386*t[86] + (461*t[87])/2 + 
       (537*t[88])/4 - (129*t[89])/2 - 2*t[92] - 4*t[93] + 4*t[94] - 
       8*t[95] - 4*t[96] - 2*t[97])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{0, 1}, 1 - v]*(4*t[1] + 3*t[2] + 96*t[3] - (285*t[4])/2 + 41*t[5] - 
       (523*t[6])/4 + (5*t[7])/4 + (69*t[8])/4 - (231*t[9])/4 + 
       (121*t[10])/4 - (251*t[11])/2 + (47*t[12])/2 - (7949*t[13])/72 - 
       (3521*t[14])/24 - (2515*t[15])/72 + 4*t[18] - 32*t[20] + 4*t[21] + 
       16*t[22] - 4*t[23] + 2*t[24] + 12*t[25] - 12*t[26] + 4*t[27] - 
       24*t[28] - 40*t[31] - 8*t[32] + 2*t[33] + 8*t[34] + 4*t[36] + 
       4*t[37] + 2*t[38] - 12*t[39] - 8*t[40] - 2*t[41] + 4*t[42] - 
       (43*t[43])/4 - (5*t[45])/2 + 10*t[46] + 13*t[47] + (37*t[48])/2 - 
       (93*t[49])/2 + t[50]/2 + (131*t[51])/8 - (33*t[52])/2 + (67*t[53])/2 + 
       20*t[54] + 2*t[55] + 2*t[56] - 8*t[57] - 6*t[59] - 401*t[60] - 
       (509*t[61])/2 - (799*t[62])/4 - (363*t[63])/4 + (1863*t[64])/4 + 
       (1081*t[65])/6 + (593*t[66])/2 - 4*t[67] + 10*t[68] - 4*t[70] + 
       4*t[71] - 24*t[72] + 8*t[73] - 4*t[74] - 112*t[75] - 20*t[77] + 
       6*t[78] + 104*t[79] - 4*t[80] - 36*t[81] + 64*t[82] + 196*t[83] - 
       (129*t[84])/2 - (207*t[85])/2 + 386*t[86] + (461*t[87])/2 + 
       (537*t[88])/4 - (129*t[89])/2 - 2*t[92] - 4*t[93] + 4*t[94] - 
       8*t[95] - 4*t[96] - 2*t[97])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(6*t[1] + 5*t[2] + 78*t[3] - 
       (301*t[4])/2 + (93*t[5])/2 - (515*t[6])/4 + (101*t[7])/4 + 
       (129*t[8])/4 - (289*t[9])/4 + (201*t[10])/4 - (195*t[11])/2 + 
       31*t[12] - (7781*t[13])/72 - (979*t[14])/8 - (193*t[15])/8 + 4*t[18] - 
       32*t[20] + 4*t[21] + 16*t[22] - 4*t[23] + 6*t[24] + 12*t[25] - 
       12*t[26] - 24*t[28] - 40*t[31] - 4*t[32] + 2*t[33] + 4*t[34] + 
       4*t[36] + 4*t[37] + 2*t[38] - 12*t[39] + 2*t[40] + 2*t[42] - 
       (43*t[43])/4 - (5*t[45])/2 + 8*t[46] + 13*t[47] + (27*t[48])/2 - 
       (85*t[49])/2 + (7*t[50])/2 + (119*t[51])/8 - (23*t[52])/2 + 
       (63*t[53])/2 + 11*t[54] + 2*t[55] + 2*t[56] - 8*t[57] - 2*t[59] - 
       317*t[60] - 373*t[61] - 279*t[62] + 65*t[63] + (1063*t[64])/2 + 
       (890*t[65])/3 + (779*t[66])/3 - 4*t[67] + 10*t[68] - 8*t[70] + 
       8*t[71] + 16*t[73] - 8*t[74] + 4*t[76] - 16*t[77] + 4*t[78] + 
       104*t[79] - 8*t[80] - 8*t[81] + 56*t[82] - 80*t[84] - 122*t[85] + 
       386*t[86] + 202*t[87] + 101*t[88] - 57*t[89] - 2*t[92] + 4*t[94] - 
       16*t[95] - 4*t[96] - 64*t[100])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*(8*t[1] - t[2] - (17*t[3])/2 + (43*t[4])/4 - 9*t[5] + 
       (25*t[6])/4 + 24*t[7] + (21*t[8])/2 + 29*t[9] + 13*t[10] + 
       (19*t[11])/2 - (121*t[12])/4 - (83*t[13])/9 + (2411*t[14])/48 - 
       (7*t[15])/4 - 4*t[24] + 9*t[25] - 17*t[26] - 3*t[27] - 4*t[31] - 
       4*t[33] + 2*t[36] + 2*t[37] + 6*t[38] - t[39] - t[40] - 10*t[46] + 
       (11*t[48])/4 + (33*t[49])/4 - (9*t[50])/4 + (115*t[51])/16 + t[52]/4 - 
       (15*t[53])/4 + (5*t[54])/2 - t[59]/2 - 18*t[60] + (603*t[61])/4 - 
       (527*t[62])/8 + (537*t[63])/8 - (99*t[64])/8 + (39*t[65])/4 - 
       (147*t[66])/4 + t[67] + 2*t[68] + 2*t[70] - 2*t[71] + 28*t[72] + 
       4*t[73] - 56*t[75] - 4*t[76] + 2*t[77] + 5*t[78] + 4*t[79] - 2*t[80] + 
       6*t[81] - 2*t[82] + 78*t[83] + (25*t[84])/4 - (85*t[85])/4 + 
       28*t[86] + (107*t[87])/4 + (147*t[88])/8 - (97*t[89])/4 + t[90] + 
       2*t[93] - 4*t[95] - 2*t[96] + t[97] - 12*t[98] + 12*t[99] - 50*t[100])*
      \[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - w]^2*(t[1]/2 + (37*t[2])/2 - 
       (515*t[3])/8 + 7*t[4] - (45*t[5])/4 + 5*t[6] + (207*t[7])/4 + 
       (171*t[8])/4 + (19*t[9])/4 + t[10] + 47*t[11] - t[12]/2 - 
       (11*t[13])/24 + (151*t[14])/3 + (385*t[15])/16 - t[17]/2 + 20*t[20] + 
       3*t[24] - 4*t[27] - 24*t[28] - (19*t[29])/2 + t[30] + (25*t[32])/2 - 
       7*t[33] + 9*t[34] + 8*t[35] - 2*t[36] - 2*t[39] + (5*t[41])/2 - 
       (5*t[42])/2 + (7*t[44])/4 + 2*t[45] - t[46] - 4*t[47] - (65*t[48])/4 + 
       6*t[49] + (95*t[50])/4 - (9*t[51])/4 - (83*t[52])/4 - 6*t[53] - 
       10*t[54] + t[55] - t[59]/2 - 18*t[60] + (603*t[61])/4 - 
       (527*t[62])/8 + (537*t[63])/8 - (99*t[64])/8 + (39*t[65])/4 - 
       (147*t[66])/4 + t[67] + 2*t[68] + 2*t[70] - 2*t[71] + 28*t[72] + 
       4*t[73] - 56*t[75] - 4*t[76] + 2*t[77] + 5*t[78] + 4*t[79] - 2*t[80] + 
       6*t[81] - 2*t[82] + 78*t[83] + (25*t[84])/4 - (85*t[85])/4 + 
       28*t[86] + (107*t[87])/4 + (147*t[88])/8 - (97*t[89])/4 + t[90] + 
       2*t[93] - 4*t[95] - 2*t[96] + t[97] - 12*t[98] + 12*t[99] - 50*t[100])*
      \[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (2*t[1] + t[2] + 9*t[3] - (5*t[4])/2 + 13*t[5] - 11*t[6] - 22*t[7] - 
       20*t[8] - 28*t[9] + (7*t[10])/2 - (57*t[11])/2 - 8*t[12] - 
       (35*t[13])/9 - (483*t[14])/8 - t[15]/3 - 4*t[16] + 4*t[24] - 
       14*t[25] + 10*t[26] + 6*t[27] + 8*t[31] + 4*t[33] - 12*t[36] + 
       4*t[38] + 2*t[39] - 2*t[40] - 4*t[48] + 19*t[49] + 6*t[50] - 
       (41*t[51])/8 - 2*t[52] - 8*t[53] - (27*t[54])/2 - 5*t[59] + 26*t[60] - 
       (437*t[61])/2 + (411*t[62])/4 - (253*t[63])/4 - (127*t[64])/4 - 
       (77*t[65])/6 + (425*t[66])/6 - 2*t[68] - 4*t[70] + 4*t[71] - 
       56*t[72] - 8*t[73] + 4*t[74] + 112*t[75] + 8*t[76] - 10*t[78] - 
       8*t[79] + 4*t[80] - 8*t[81] + 8*t[82] - 156*t[83] - (13*t[84])/2 + 
       (65*t[85])/2 - 56*t[86] - (95*t[87])/2 - (135*t[88])/4 + 39*t[89] - 
       4*t[93] + 8*t[95] + 4*t[96] - 2*t[97] + 24*t[98] - 24*t[99] + 
       100*t[100])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      (-t[1] + 6*t[2] + (235*t[3])/4 - 6*t[4] + 5*t[5] - (37*t[6])/2 - 
       (75*t[7])/2 - (149*t[8])/2 + 35*t[9] + 13*t[10] - (131*t[11])/2 - 
       (7*t[12])/2 - (5*t[13])/12 - (107*t[14])/2 - (295*t[15])/8 + t[17] - 
       40*t[20] - 6*t[24] + 4*t[27] + 48*t[28] + 19*t[29] - 2*t[30] - 
       9*t[32] - 10*t[33] + 2*t[34] - 16*t[35] + 4*t[36] + 4*t[39] - 
       3*t[41] + 3*t[42] - (15*t[44])/2 - 4*t[45] + 8*t[47] + 4*t[48] - 
       10*t[49] - 16*t[50] + 4*t[51] + 10*t[52] + 10*t[53] + t[54]/2 - 
       5*t[59] + 26*t[60] - (437*t[61])/2 + (411*t[62])/4 - (253*t[63])/4 - 
       (127*t[64])/4 - (77*t[65])/6 + (425*t[66])/6 - 2*t[68] - 4*t[70] + 
       4*t[71] - 56*t[72] - 8*t[73] + 4*t[74] + 112*t[75] + 8*t[76] - 
       10*t[78] - 8*t[79] + 4*t[80] - 8*t[81] + 8*t[82] - 156*t[83] - 
       (13*t[84])/2 + (65*t[85])/2 - 56*t[86] - (95*t[87])/2 - 
       (135*t[88])/4 + 39*t[89] - 4*t[93] + 8*t[95] + 4*t[96] - 2*t[97] + 
       24*t[98] - 24*t[99] + 100*t[100])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - v]*(-2*t[1] + 27*t[3] + (25*t[4])/2 - (7*t[5])/4 - 
       (71*t[6])/2 - 48*t[7] - 64*t[8] - (121*t[9])/4 - (309*t[10])/4 + 
       (19*t[11])/2 + (35*t[12])/2 - (149*t[13])/18 - (325*t[14])/8 - 
       (227*t[15])/8 + 2*t[16] - 2*t[25] + 10*t[26] + 2*t[27] + 2*t[33] + 
       4*t[36] - 4*t[37] - 4*t[38] + 8*t[39] - 4*t[40] - 4*t[45] + 9*t[46] + 
       8*t[47] - (35*t[48])/2 + (17*t[49])/4 - (27*t[50])/2 - (131*t[51])/8 - 
       (13*t[52])/2 - (97*t[53])/4 - 3*t[54] + 4*t[59] - (65*t[60])/2 - 
       60*t[61] + (231*t[62])/4 + (261*t[63])/4 + 44*t[64] - (202*t[65])/3 + 
       (76*t[66])/3 + 32*t[76] + 4*t[77] - 48*t[78] + 16*t[80] + 5*t[81] - 
       17*t[82] - 26*t[84] + (29*t[85])/2 + 8*t[86] + (27*t[87])/2 + 
       (27*t[88])/4 - 74*t[89] - 2*t[90] + 2*t[92] - 2*t[94])*\[Zeta][3]^2 + 
     HPL[{1}, 1 - w]*((-45*t[2])/2 + 36*t[3] - (45*t[4])/2 + 28*t[5] - 
       (127*t[6])/4 - 5*t[7] - 88*t[8] - (39*t[9])/2 - (267*t[10])/4 + 
       (11*t[11])/4 - (79*t[12])/4 - (319*t[13])/9 - (317*t[14])/8 - 
       (7*t[15])/6 + t[17] + 2*t[27] - 4*t[32] + 12*t[33] - 20*t[34] - 
       4*t[37] - 2*t[39] + 2*t[41] - 2*t[42] + 2*t[43] + 4*t[44] + 32*t[45] + 
       2*t[46] - 48*t[47] - (15*t[48])/4 + (55*t[49])/4 + (33*t[50])/4 - 
       (67*t[51])/8 - (33*t[52])/4 - (55*t[53])/4 - (143*t[54])/4 - 2*t[55] + 
       4*t[59] - (65*t[60])/2 - 60*t[61] + (231*t[62])/4 + (261*t[63])/4 + 
       44*t[64] - (202*t[65])/3 + (76*t[66])/3 + 32*t[76] + 4*t[77] - 
       48*t[78] + 16*t[80] + 5*t[81] - 17*t[82] - 26*t[84] + (29*t[85])/2 + 
       8*t[86] + (27*t[87])/2 + (27*t[88])/4 - 74*t[89] - 2*t[90] + 2*t[92] - 
       2*t[94])*\[Zeta][3]^2 + HPL[{0, 1}, 1 - w]*(11*t[1] - (17*t[2])/4 - 
       (767*t[3])/8 + 197*t[4] - (869*t[5])/8 + (1257*t[6])/4 - 
       (253*t[7])/8 + (1451*t[8])/8 + (437*t[9])/2 - (1171*t[10])/8 + 
       (783*t[11])/8 - (949*t[12])/8 + (3503*t[13])/48 + (10091*t[14])/24 - 
       (9805*t[15])/144 + 2*t[16] + t[17]/2 + 10*t[18] + 16*t[20] + 2*t[21] - 
       16*t[22] + 6*t[23] - 3*t[25] + 2*t[26] + 5*t[27] + 128*t[28] + 
       (89*t[29])/2 - 47*t[30] + 108*t[31] + (11*t[32])/2 + t[33] + t[34] + 
       4*t[36] - t[37] + 9*t[38] + 64*t[39] - 48*t[40] - (5*t[41])/2 + 
       (15*t[42])/2 + (149*t[43])/8 - (177*t[44])/4 - t[45]/4 + (7*t[46])/2 + 
       (11*t[47])/2 + (841*t[48])/8 + (21*t[49])/2 - (1263*t[50])/8 - 
       (237*t[51])/8 + (1239*t[52])/8 - (45*t[53])/2 + (501*t[54])/8 - 
       t[56] - 18*t[59] + (3373*t[60])/4 + 550*t[61] + (455*t[62])/4 - 
       (383*t[63])/2 - (2747*t[64])/4 - (4295*t[65])/12 - (9565*t[66])/12 + 
       2*t[67] - 5*t[68] - 16*t[69] - 2*t[70] + 2*t[71] + 24*t[72] + 
       120*t[73] + 5*t[74] + 80*t[75] + 45*t[77] + 2*t[78] - 252*t[79] + 
       6*t[80] + (129*t[81])/2 - (247*t[82])/2 - 330*t[83] + (415*t[84])/4 + 
       227*t[85] - 501*t[86] - (915*t[87])/2 - (877*t[88])/4 + 
       (1479*t[89])/8 + t[92] + 2*t[93] - 2*t[94] - 2*t[95] - 2*t[96] - 
       t[97])*\[Zeta][5] + HPL[{0, 1}, 1 - v]*(10*t[1] + 24*t[2] - 102*t[3] + 
       394*t[4] - (279*t[5])/8 + (1317*t[6])/8 + (177*t[7])/8 - 
       (819*t[8])/8 + 74*t[9] - (651*t[10])/4 + (1781*t[11])/4 - 
       (173*t[12])/4 + (48199*t[13])/144 + (2179*t[14])/8 + (95*t[15])/8 + 
       10*t[18] - 8*t[19] + 32*t[20] + 2*t[21] - 16*t[22] - 10*t[23] + 
       2*t[24] - t[25] + t[26] + t[27] + 4*t[28] + 88*t[31] - 4*t[32] - 
       6*t[33] + 4*t[34] + t[36] - t[37] + t[38] + 6*t[39] + 49*t[40] - 
       (9*t[41])/2 + (19*t[42])/2 + (153*t[43])/8 + t[44] - (5*t[45])/4 + 
       t[46]/2 + (13*t[47])/2 - (437*t[48])/4 + (373*t[49])/8 - 
       (221*t[50])/4 - (115*t[51])/8 + (189*t[52])/4 - (425*t[53])/8 - 
       (493*t[54])/4 - t[55] - t[56] - 18*t[59] + (3373*t[60])/4 + 
       550*t[61] + (455*t[62])/4 - (383*t[63])/2 - (2747*t[64])/4 - 
       (4295*t[65])/12 - (9565*t[66])/12 + 2*t[67] - 5*t[68] - 16*t[69] - 
       2*t[70] + 2*t[71] + 24*t[72] + 120*t[73] + 5*t[74] + 80*t[75] + 
       45*t[77] + 2*t[78] - 252*t[79] + 6*t[80] + (129*t[81])/2 - 
       (247*t[82])/2 - 330*t[83] + (415*t[84])/4 + 227*t[85] - 501*t[86] - 
       (915*t[87])/2 - (877*t[88])/4 + (1479*t[89])/8 + t[92] + 2*t[93] - 
       2*t[94] - 2*t[95] - 2*t[96] - t[97])*\[Zeta][5] + 
     HPL[{1}, 1 - v]^2*((-91*t[1])/4 - (9*t[3])/4 + (393*t[4])/8 + 
       (11*t[5])/16 + (13*t[6])/16 - 8*t[7] + (35*t[8])/4 - (19*t[9])/16 - 
       (155*t[10])/4 + (1109*t[11])/16 + (1693*t[12])/16 + (3793*t[13])/72 - 
       (1947*t[14])/32 + (1555*t[15])/96 - 4*t[19] + (61*t[26])/2 + t[27] - 
       2*t[31] + t[36]/2 - t[37]/2 - (47*t[38])/2 + t[39] - t[40] + t[45]/2 + 
       30*t[46] - t[47] + (5*t[48])/16 - (277*t[49])/8 - (27*t[50])/16 - 
       (69*t[51])/32 + (11*t[52])/16 + (223*t[53])/8 - (347*t[54])/16 + 
       (91*t[59])/4 + (877*t[60])/8 - (503*t[61])/4 + (185*t[62])/4 - 
       (1747*t[63])/8 + (141*t[64])/8 + (409*t[65])/24 - (15*t[66])/8 - 
       t[67]/2 - t[68] + 8*t[69] + t[70] + 3*t[71] - 4*t[72] + 60*t[73] - 
       (3*t[74])/2 + 40*t[75] - 2*t[76] + (3*t[77])/2 + 3*t[78] - 2*t[79] - 
       t[80] - (5*t[81])/4 - t[82]/4 - 159*t[83] + (161*t[84])/8 + 22*t[85] - 
       7*t[86] - (307*t[87])/4 - (239*t[88])/8 + (929*t[89])/16 - t[90]/2 - 
       t[93] - t[95] - t[96] + t[97]/2 - 6*t[98] + 9*t[99] - 11*t[100])*
      \[Zeta][5] + HPL[{1}, 1 - w]^2*(t[1]/4 - (511*t[2])/8 + (989*t[3])/16 - 
       (27*t[4])/8 + (375*t[5])/16 + (123*t[6])/2 - (875*t[7])/8 + 
       (497*t[8])/8 - (561*t[9])/16 - (153*t[10])/16 - 60*t[11] + 
       (29*t[12])/4 + (539*t[13])/48 - (1339*t[14])/32 - (233*t[15])/9 + 
       t[17]/4 - 8*t[20] - t[24] + 2*t[27] + 62*t[28] + (89*t[29])/4 - 
       (47*t[30])/2 + 8*t[31] - (81*t[32])/4 + (65*t[33])/2 - (9*t[34])/2 - 
       t[37]/2 - t[40] + t[41] - t[42] - t[43]/4 - (181*t[44])/8 + t[45] + 
       t[46] - (3*t[47])/2 + (547*t[48])/8 - (59*t[49])/16 - (525*t[50])/8 + 
       (35*t[51])/32 + (537*t[52])/8 + (59*t[53])/16 + (515*t[54])/8 - 
       t[55]/2 + (91*t[59])/4 + (877*t[60])/8 - (503*t[61])/4 + 
       (185*t[62])/4 - (1747*t[63])/8 + (141*t[64])/8 + (409*t[65])/24 - 
       (15*t[66])/8 - t[67]/2 - t[68] + 8*t[69] + t[70] + 3*t[71] - 4*t[72] + 
       60*t[73] - (3*t[74])/2 + 40*t[75] - 2*t[76] + (3*t[77])/2 + 3*t[78] - 
       2*t[79] - t[80] - (5*t[81])/4 - t[82]/4 - 159*t[83] + (161*t[84])/8 + 
       22*t[85] - 7*t[86] - (307*t[87])/4 - (239*t[88])/8 + (929*t[89])/16 - 
       t[90]/2 - t[93] - t[95] - t[96] + t[97]/2 - 6*t[98] + 9*t[99] - 
       11*t[100])*\[Zeta][5] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (11*t[1] + 23*t[2] - 124*t[3] + 384*t[4] - (445*t[5])/8 + 
       (1749*t[6])/8 + (313*t[7])/8 + (249*t[8])/8 + (633*t[9])/4 - 
       (627*t[10])/4 + (1553*t[11])/4 - 35*t[12] + (43279*t[13])/144 + 
       (6793*t[14])/24 + (385*t[15])/12 + 10*t[18] - 8*t[19] + 32*t[20] + 
       2*t[21] - 16*t[22] - 2*t[23] + 2*t[24] - t[25] + t[26] + 3*t[27] + 
       4*t[28] + 88*t[31] - 2*t[32] - 4*t[33] + 2*t[34] + t[36] - t[37] + 
       t[38] + 6*t[39] - (7*t[41])/2 + (17*t[42])/2 + (153*t[43])/8 + t[44] - 
       (5*t[45])/4 + (3*t[46])/2 + (13*t[47])/2 - (159*t[48])/4 + 
       (357*t[49])/8 - (171*t[50])/4 - (113*t[51])/8 + (155*t[52])/4 - 
       (401*t[53])/8 - (259*t[54])/4 - t[55] - t[56] - t[59] + 
       (1175*t[60])/2 + 820*t[61] + (375*t[62])/2 - (1281*t[63])/2 - 
       (1377*t[64])/2 - (2029*t[65])/3 - (1835*t[66])/2 + 2*t[67] - 5*t[68] - 
       32*t[69] - 4*t[70] + 4*t[71] + 240*t[73] + 4*t[74] + 118*t[76] + 
       47*t[77] + 2*t[78] - 252*t[79] + 4*t[80] + 8*t[81] - 126*t[82] + 
       36*t[84] + 193*t[85] - 501*t[86] - 265*t[87] - (265*t[88])/2 + 
       (547*t[89])/4 + t[92] - 2*t[94] - 4*t[95] - 2*t[96] + 8*t[100])*
      \[Zeta][5] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*(-t[1]/2 + (57*t[2])/4 - 
       (77*t[3])/8 + (11*t[4])/4 + (103*t[5])/8 - (239*t[6])/4 + 
       (207*t[7])/4 - (323*t[8])/4 - (561*t[9])/8 + (93*t[10])/8 + 
       (195*t[11])/4 - (41*t[12])/4 - (331*t[13])/24 - (731*t[14])/48 + 
       (2687*t[15])/72 - t[17]/2 + 16*t[20] + 2*t[24] - 2*t[27] - 124*t[28] - 
       (89*t[29])/2 + 47*t[30] - 16*t[31] - (11*t[32])/2 - 3*t[33] + t[34] + 
       t[37] + 2*t[40] - t[41] + t[42] + t[43]/2 + (181*t[44])/4 - 2*t[45] - 
       t[46] + 3*t[47] - (125*t[48])/2 + (27*t[49])/8 + (95*t[50])/2 - 
       (15*t[51])/16 - (101*t[52])/2 - (27*t[53])/8 - 59*t[54] - 
       (19*t[59])/2 - (809*t[60])/4 + 107*t[61] - 31*t[62] + (905*t[63])/4 + 
       59*t[64] + (53*t[65])/4 + (845*t[66])/12 + t[68] - 16*t[69] - 
       2*t[70] + 2*t[71] + 8*t[72] - 120*t[73] + t[74] - 80*t[75] + 4*t[76] - 
       t[77] - 6*t[78] + 4*t[79] + 2*t[80] + t[81]/2 + t[82]/2 + 318*t[83] - 
       (157*t[84])/4 - 43*t[85] + 14*t[86] + (309*t[87])/2 + (241*t[88])/4 - 
       (387*t[89])/8 + 2*t[93] + 2*t[95] + 2*t[96] - t[97] + 12*t[98] - 
       18*t[99] + 22*t[100])*\[Zeta][5] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (t[1]/2 + (3*t[2])/2 + (7*t[3])/2 - (423*t[4])/4 + (17*t[5])/8 + 
       (5*t[6])/8 + t[7] - 7*t[8] - (21*t[9])/8 + (55*t[10])/4 - 
       (663*t[11])/8 - (283*t[12])/8 - (2695*t[13])/36 + (1951*t[14])/48 - 
       (391*t[15])/48 + 2*t[16] + 8*t[19] - 2*t[25] + t[26] - 2*t[27] + 
       4*t[31] + 3*t[36] + t[37] + t[38] - 2*t[39] - t[45] + 2*t[47] - 
       (11*t[48])/8 - (29*t[49])/2 + (37*t[50])/8 - (37*t[51])/16 - 
       (21*t[52])/8 + 20*t[53] + (349*t[54])/8 - (19*t[59])/2 - 
       (809*t[60])/4 + 107*t[61] - 31*t[62] + (905*t[63])/4 + 59*t[64] + 
       (53*t[65])/4 + (845*t[66])/12 + t[68] - 16*t[69] - 2*t[70] + 2*t[71] + 
       8*t[72] - 120*t[73] + t[74] - 80*t[75] + 4*t[76] - t[77] - 6*t[78] + 
       4*t[79] + 2*t[80] + t[81]/2 + t[82]/2 + 318*t[83] - (157*t[84])/4 - 
       43*t[85] + 14*t[86] + (309*t[87])/2 + (241*t[88])/4 - (387*t[89])/8 + 
       2*t[93] + 2*t[95] + 2*t[96] - t[97] + 12*t[98] - 18*t[99] + 22*t[100])*
      \[Zeta][5]
 
TuvwCoproductEntriet[1 - v] = -(B4[v, w, u]*HPL[{1}, 1 - u]*t[8]) + 
     B4[v, w, u]*HPL[{1}, 1 - w]*t[8] - D4[u, v, w]*t[9] - 
     D16[u, v, w]*t[10] + B11[v, w, u]*HPL[{1}, 1 - u]*
      (-t[2] + 3*t[3] - (7*t[15])/6) + B3[w, u, v]*HPL[{1}, 1 - w]*
      (t[2] - t[15]/3) + B2[v, w, u]*HPL[{1}, 1 - w]*(t[3] - t[15]/6) + 
     B2[v, w, u]*HPL[{1}, 1 - u]*(-t[3] + t[15]/6) + 
     B3[w, u, v]*HPL[{1}, 1 - u]*(-t[2] + t[15]/3) + (D14[v, w, u]*t[15])/9 - 
     (D2[w, v, u]*t[15])/6 + (2*D3[u, w, v]*t[15])/3 + 
     (B2[v, u, w]*HPL[{1}, 1 - u]*t[15])/3 - 
     (B2[v, u, w]*HPL[{1}, 1 - w]*t[15])/3 - 
     (2*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*t[15])/
      3 + B11[v, w, u]*HPL[{1}, 1 - w]*(t[2] - 3*t[3] + (7*t[15])/6) + 
     D3[w, v, u]*t[23] + D23[w, u, v]*t[29] + D12[v, u, w]*t[30] + 
     D7[v, w, u]*(t[9] + t[32]) + D6[w, v, u]*t[33] + D1[u, w, v]*t[38] + 
     D6[v, w, u]*t[39] + D7[w, v, u]*t[40] + D12[u, w, v]*t[44] + 
     D8[w, u, v]*t[48] + D8[u, v, w]*t[50] + D9[u, v, w]*t[52] + 
     D5[w, u, v]*t[53] + D29[u, v, w]*(-t[3] - (3*t[4])/2 - (3*t[5])/2 - 
       (19*t[6])/4 - (11*t[8])/2 + (5*t[9])/2 + (21*t[10])/4 - (5*t[11])/4 + 
       (7*t[12])/4 + (7*t[14])/8 + (7*t[15])/6 + 2*t[27] + t[46] - 
       (7*t[48])/4 - (7*t[49])/4 + t[50]/4 + t[51]/8 - t[52]/4 + 
       (7*t[53])/4 + (5*t[54])/4) + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 
       1 - w]*(15*t[2] - 5*t[15] - 16*t[59]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*(14*t[2] - (10*t[15])/3 - 
       6*t[59]) + D3[w, u, v]*(2*t[2] - t[15]/3 - t[59]) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - w]*(-t[2]/12 - t[15]/36 + 
       t[59]/12) + D2[u, v, w]*(-t[2]/2 - t[15]/6 + t[59]/2) + 
     32*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - w]*t[59] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*(-4*t[2] + 4*t[59]) + 
     D7[v, u, w]*(-t[14] - t[61]) - B1[w, v, u]*HPL[{1}, 1 - u]*t[61] + 
     B1[w, v, u]*HPL[{1}, 1 - w]*t[61] + D7[u, v, w]*(t[6] + t[61]) + 
     D4[w, v, u]*(t[14] + t[61]) + D12[u, v, w]*(t[62]/2 + t[63]/2) - 
     B4[w, u, v]*HPL[{1}, 1 - u]*t[63] + B4[w, u, v]*HPL[{1}, 1 - w]*t[63] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*
      (-t[2]/12 + t[3]/4 + t[15]/72 - t[61]/4 - t[62]/12 + t[64]/4) - 
     (D12[w, v, u]*t[64])/2 + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*
      (16*t[1] - 64*t[12] + 4*t[38] - 8*t[53] + 64*t[60] - 40*t[65]) + 
     D11[v, u, w]*(t[60] - t[65]) + D10[v, u, w]*(-t[15]/3 + t[60] - t[65]) + 
     D10[v, w, u]*(-t[3] + t[14] + t[15]/6 + t[34] + t[60] - t[65]) + 
     B3[v, w, u]*HPL[{1}, 1 - w]*(t[12] - (2*t[65])/3) + 
     D10[w, u, v]*(-t[62] + t[63] - (2*t[65])/3) + 
     B2[w, v, u]*HPL[{1}, 1 - w]*(t[60] - t[65]/3) + 
     HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(t[15]/18 - t[65]/9) + 
     B2[w, v, u]*HPL[{1}, 1 - u]*(-t[60] + t[65]/3) + 
     B3[v, w, u]*HPL[{1}, 1 - u]*(-t[12] + (2*t[65])/3) + 
     D22[u, v, w]*(t[9]/2 + t[15]/6 + (2*t[65])/3) - 
     (2*D1[v, w, u]*t[65])/3 - (2*B2[w, u, v]*HPL[{1}, 1 - u]*t[65])/3 + 
     (2*B2[w, u, v]*HPL[{1}, 1 - w]*t[65])/3 + 
     D11[u, w, v]*(t[3] - t[14] - t[15]/6 - t[60] + t[65]) + 
     D11[w, u, v]*(t[15]/3 - t[60] + t[65]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*(-16*t[1] + 64*t[12] - 64*t[60] + 
       (128*t[65])/3) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*
      (16*t[1] + (64*t[13])/3 + 16*t[59] - (256*t[66])/3) + 
     D22[w, u, v]*(t[2]/2 + t[13]/3 + t[15]/6 - t[59]/2 - t[61]/2 - 
       (4*t[66])/3) + D10[u, w, v]*(-t[13]/3 - t[64] + (4*t[66])/3) + 
     D19[w, u, v]*(t[2] - t[13]/3 - (2*t[14])/3 - t[15]/3 + (2*t[65])/3 + 
       (4*t[66])/3) + D11[v, w, u]*(t[6] - t[11] - t[13]/6 + t[54] + 
       2*t[66]) + HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u]*(-24*t[1] - 20*t[2] - 
       16*t[3] - 20*t[5] + 62*t[6] + 28*t[7] + 36*t[8] + 32*t[9] + 64*t[10] - 
       84*t[11] + 26*t[12] - (172*t[13])/3 + 36*t[14] + (92*t[15])/3 - 
       16*t[23] + 10*t[38] - 8*t[41] + 8*t[42] + 16*t[48] + 16*t[50] - 
       16*t[52] + 36*t[54] - 22*t[59] + 32*t[61] + 4*t[62] - 4*t[63] - 
       124*t[64] - (152*t[65])/3 + (512*t[66])/3) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u]*(-72*t[1] - 66*t[2] - 48*t[3] - 
       50*t[5] + 195*t[6] + 94*t[7] + 98*t[8] + 96*t[9] + 192*t[10] - 
       258*t[11] + 81*t[12] - 170*t[13] + 110*t[14] + (286*t[15])/3 - 
       48*t[23] + 33*t[38] - 24*t[41] + 24*t[42] + 48*t[48] + 48*t[50] - 
       48*t[52] + 114*t[54] - 63*t[59] + 112*t[61] + 2*t[62] - 2*t[63] - 
       350*t[64] - (476*t[65])/3 + 512*t[66]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u]*(-152*t[1] - 160*t[2] - 80*t[3] - 
       80*t[5] + 400*t[6] + 160*t[7] + 160*t[8] + 160*t[9] + 320*t[10] - 
       480*t[11] + 160*t[12] - (928*t[13])/3 + 200*t[14] + (560*t[15])/3 - 
       80*t[23] + 80*t[38] - 40*t[41] + 40*t[42] + 80*t[48] + 80*t[50] - 
       80*t[52] + 240*t[54] - 112*t[59] + 240*t[61] - 640*t[64] - 320*t[65] + 
       1024*t[66]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*
      (-16*t[1] + 4*t[2] - (68*t[13])/3 - (8*t[14])/3 - (4*t[15])/3 + 
       4*t[23] - 16*t[59] + 88*t[66] - 4*t[71]) + 
     D1[v, u, w]*(-t[2] + t[13]/3 + (2*t[14])/3 + t[15]/3 - (2*t[66])/3 + 
       t[71]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*
      (2*t[1] + 8*t[2] - 46*t[6] - 12*t[10] + 24*t[11] - 2*t[12] + 
       (98*t[13])/3 - (20*t[14])/3 - (10*t[15])/3 + 6*t[23] + 4*t[41] - 
       4*t[42] + 18*t[59] - 4*t[61] + 24*t[64] + (16*t[65])/3 - 88*t[66] + 
       4*t[71]) + D17[v, w, u]*t[76] + D18[v, w, u]*t[78] + 
     D15[v, w, u]*t[81] + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*
      (100*t[3] + 10*t[15] - (20*t[65])/3 - 30*t[83]) + 
     B11[w, u, v]*HPL[{1}, 1 - w]*(t[12] - 3*t[60] + t[65] - 2*t[83]) + 
     2*B9[u, v, w]*HPL[{1}, 1 - u]*t[83] - 2*B9[u, v, w]*HPL[{1}, 1 - w]*
      t[83] + B11[w, u, v]*HPL[{1}, 1 - u]*(-t[12] + 3*t[60] - t[65] + 
       2*t[83]) + D11[u, v, w]*(t[60] - 2*t[62] - 2*t[63] - (7*t[66])/3 + 
       t[84]) + D21[v, w, u]*t[85] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*((3*t[1])/2 + (23*t[2])/3 + (65*t[3])/4 + 
       (457*t[4])/12 - (27*t[5])/2 - (97*t[6])/8 + (113*t[7])/6 - 
       (20*t[8])/3 - (31*t[9])/12 - (253*t[10])/24 + (163*t[11])/24 - 
       (77*t[12])/24 - (163*t[13])/27 - (2257*t[14])/144 - (631*t[15])/72 - 
       (14*t[17])/3 + (13*t[18])/3 - 5*t[19] + t[21] - (5*t[23])/3 + 
       (17*t[24])/3 - 9*t[31] - (31*t[41])/6 + (47*t[42])/6 - 7*t[43] - 
       18*t[45] - (7*t[46])/3 + 34*t[47] + (167*t[48])/24 + (133*t[49])/24 + 
       (167*t[50])/24 - (49*t[51])/48 - (167*t[52])/24 - (133*t[53])/24 - 
       (39*t[54])/8 - (11*t[59])/3 + (8*t[61])/3 + (10*t[62])/3 - 
       (2*t[63])/3 + (22*t[64])/3 + (8*t[65])/9 + (232*t[66])/9 - 
       (8*t[71])/3 - (8*t[80])/3 - (8*t[86])/3) + 
     D16[v, w, u]*(-t[64] - 2*t[87]) + D13[v, w, u]*t[87] + 
     D24[v, w, u]*(-t[3]/2 + t[15]/12 + t[87] + t[88]/2) + 
     D5[v, w, u]*t[88] + D5[v, u, w]*(t[2] - 2*t[3] + t[88]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*(-6*t[1] - 24*t[4] + 
       54*t[12] - 4*t[13] + 6*t[38] - 12*t[53] + 14*t[59] - 64*t[60] - 
       2*t[61] + 12*t[64] + 56*t[65] + (4*t[66])/3 + 10*t[71] + 16*t[87] + 
       8*t[88]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      (-7*t[2] + 3*t[3] + 6*t[4] - (55*t[5])/2 - 76*t[6] + 253*t[7] - 
       437*t[8] + (413*t[9])/2 - 9*t[10] + 79*t[11] - (9*t[12])/2 + 
       (53*t[13])/6 + (229*t[14])/2 - (517*t[15])/12 - 12*t[28] - 48*t[29] - 
       48*t[30] + 60*t[44] - 121*t[48] + 6*t[49] + 101*t[50] - 3*t[51] - 
       101*t[52] - 6*t[53] - 85*t[54] - 3*t[59] + 114*t[60] + 94*t[61] - 
       155*t[62] + 23*t[63] - 286*t[64] - 71*t[65] - (703*t[66])/3 - 
       12*t[75] + 6*t[81] - 6*t[82] + 10*t[83] + 35*t[84] + 60*t[85] + 
       24*t[86] - 90*t[87] - 58*t[88] - 73*t[89]) + 
     HPL[{1}, 1 - u]^2*Qep[v, u, w]*((208*t[3])/3 + 140*t[5] - (172*t[6])/3 - 
       176*t[7] - (200*t[8])/3 - 204*t[9] - 8*t[10] + (196*t[11])/3 + 
       4*t[12] + (520*t[13])/9 - (472*t[14])/3 - (226*t[15])/9 + 
       (32*t[28])/3 + 8*t[29] + (32*t[31])/3 + (64*t[35])/3 - 16*t[40] + 
       (8*t[44])/3 + (148*t[48])/3 - 76*t[50] + 76*t[52] - (172*t[54])/3 + 
       (8*t[60])/3 - 152*t[61] + (40*t[62])/3 - 216*t[63] + 324*t[64] - 
       (448*t[65])/9 - (2240*t[66])/9 + (32*t[72])/3 + (32*t[73])/3 + 
       32*t[75] + 32*t[76] - (32*t[79])/3 - (64*t[83])/3 - 32*t[84] - 
       32*t[85] + 32*t[86] + (184*t[87])/3 + (92*t[88])/3 - (196*t[89])/3) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*((15*t[1])/2 - 16*t[2] + 
       17*t[3] - 7*t[4] + (21*t[5])/4 + (25*t[6])/4 - 28*t[7] - 48*t[8] - 
       (91*t[9])/4 - (49*t[10])/4 - (59*t[11])/4 + (25*t[12])/2 - 
       (13*t[13])/6 - (431*t[14])/24 - (81*t[15])/8 + 10*t[23] + t[34] + 
       8*t[38] - (5*t[41])/2 + 10*t[42] + (7*t[43])/2 - 6*t[45] + 6*t[47] - 
       (91*t[48])/4 - (5*t[49])/4 - (67*t[50])/4 - (5*t[51])/8 + 
       (63*t[52])/4 + (5*t[53])/4 + t[54]/4 - (23*t[59])/2 - 17*t[60] - 
       40*t[61] + 15*t[62] + 13*t[63] + (49*t[64])/2 - (121*t[65])/3 + 
       33*t[66] - 17*t[84] + 2*t[85] - 18*t[89]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - v]*((57*t[3])/4 + (57*t[5])/2 - 
       (117*t[6])/8 - (45*t[7])/2 - (63*t[8])/2 - (75*t[9])/4 + 
       (117*t[11])/8 + 13*t[13] - (153*t[14])/8 - (119*t[15])/12 + 3*t[29] - 
       9*t[30] + 3*t[31] + 6*t[35] - (9*t[40])/2 - (9*t[44])/2 + 
       (21*t[48])/8 - (87*t[50])/8 + (87*t[52])/8 - (117*t[54])/8 + 
       (141*t[60])/4 - (165*t[61])/4 + (27*t[62])/8 - (411*t[63])/8 + 
       (207*t[64])/8 - (427*t[65])/12 - (279*t[66])/4 + 3*t[72] + 9*t[76] + 
       6*t[83] - (3*t[84])/4 - (3*t[85])/4 - (57*t[87])/4 - (57*t[88])/8 - 
       (117*t[89])/8) + HPL[{1}, 1 - u]^3*Omega2[w, u, v]*
      ((25*t[3])/4 + (105*t[5])/8 - (81*t[6])/8 - (27*t[7])/4 - 
       (103*t[8])/4 - (99*t[9])/8 - (3*t[10])/4 + (87*t[11])/8 + 
       (3*t[12])/8 + (11*t[13])/2 - 13*t[14] - (365*t[15])/144 + t[28] - 
       (3*t[29])/4 + t[31] + 2*t[35] - (3*t[40])/2 + (7*t[44])/2 - 
       (3*t[48])/8 - (19*t[50])/8 + (19*t[52])/8 - (81*t[54])/8 + 
       (17*t[60])/4 - (45*t[61])/4 - (43*t[62])/8 - (117*t[63])/8 + 
       (151*t[64])/8 - (403*t[65])/36 - (367*t[66])/12 + t[72] + t[73] + 
       3*t[75] + 3*t[76] - t[79] - 2*t[83] - (11*t[84])/4 - (11*t[85])/4 + 
       3*t[86] + (11*t[87])/4 + (11*t[88])/8 - (87*t[89])/8) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      (5*t[3] + (89*t[5])/8 - (61*t[6])/8 - 6*t[7] - (77*t[8])/4 - 
       (73*t[9])/8 - (3*t[10])/4 + (67*t[11])/8 + (3*t[12])/8 + 
       (61*t[13])/12 - (17*t[14])/2 - (383*t[15])/144 + t[28] - (5*t[29])/4 - 
       2*t[30] + t[31] + 2*t[35] - (3*t[40])/2 + (5*t[44])/4 + (3*t[48])/8 - 
       (23*t[50])/8 + (23*t[52])/8 - (61*t[54])/8 + (27*t[60])/4 - 
       (41*t[61])/4 - (9*t[62])/2 - (35*t[63])/2 + (115*t[64])/8 - 10*t[65] - 
       (89*t[66])/3 + t[72] + t[73] + t[75] + 3*t[76] - t[79] + t[83] - 
       t[84] - t[85] + 3*t[86] + t[87]/4 + t[88]/8 - (67*t[89])/8) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-31*t[2])/12 - 5*t[3] - (3*t[4])/4 - (25*t[5])/2 - (27*t[6])/8 + 
       (33*t[7])/2 + (3*t[8])/4 + 16*t[9] + (5*t[10])/8 + (9*t[11])/8 + 
       (9*t[12])/8 - (53*t[13])/12 + (215*t[14])/48 + (239*t[15])/72 - 
       t[23] - t[24] + 6*t[29] + (11*t[30])/2 + t[31] + (7*t[32])/2 - 
       (7*t[33])/2 + 4*t[35] + (9*t[44])/2 + (9*t[48])/8 - (3*t[49])/8 + 
       (87*t[50])/8 + (3*t[51])/16 - (87*t[52])/8 + (3*t[53])/8 - 
       (9*t[54])/8 + (5*t[59])/6 - 12*t[60] + (51*t[61])/4 - t[62]/4 + 
       (109*t[63])/4 - (101*t[64])/8 + (31*t[65])/3 + 17*t[66] + t[73] - 
       t[74] + t[75] + 3*t[76] - t[79] - t[81]/2 + t[82]/2 + t[83] - t[84] - 
       (7*t[85])/4 + 3*t[86] + t[87] + t[88]/2 - (29*t[89])/4) + 
     HPL[{1}, 1 - u]^2*M1[w, u, v]*((5*t[3])/2 + (89*t[5])/16 - 
       (61*t[6])/16 - 3*t[7] - (77*t[8])/8 - (73*t[9])/16 - (3*t[10])/8 + 
       (67*t[11])/16 + (3*t[12])/16 + (61*t[13])/24 - (17*t[14])/4 - 
       (383*t[15])/288 + t[28]/2 - (5*t[29])/8 - t[30] + t[31]/2 + t[35] - 
       (3*t[40])/4 + (5*t[44])/8 + (3*t[48])/16 - (23*t[50])/16 + 
       (23*t[52])/16 - (61*t[54])/16 + (27*t[60])/8 - (41*t[61])/8 - 
       (9*t[62])/4 - (35*t[63])/4 + (115*t[64])/16 - 5*t[65] - (89*t[66])/6 + 
       t[72]/2 + t[73]/2 + t[75]/2 + (3*t[76])/2 - t[79]/2 + t[83]/2 - 
       t[84]/2 - t[85]/2 + (3*t[86])/2 + t[87]/8 + t[88]/16 - 
       (67*t[89])/16) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((-5*t[3])/8 - (29*t[5])/16 - (17*t[6])/4 + (57*t[7])/4 - 
       (173*t[8])/8 + (227*t[9])/16 + (3*t[10])/8 + (31*t[11])/8 - 
       (3*t[12])/16 - (7*t[13])/24 + (83*t[14])/16 - (577*t[15])/288 - 
       t[28]/2 - (3*t[29])/8 - (5*t[30])/2 + (19*t[44])/8 - (49*t[48])/8 + 
       (25*t[50])/4 - (25*t[52])/4 - (17*t[54])/4 + (45*t[60])/4 + 
       (7*t[61])/4 - (111*t[62])/16 + (87*t[63])/16 - (177*t[64])/8 - 
       (745*t[65])/72 - (209*t[66])/24 - t[73]/2 - (3*t[75])/2 + t[79]/2 + 
       (7*t[83])/4 + (17*t[84])/8 + (17*t[85])/8 - (3*t[86])/2 - 
       (39*t[87])/4 - (39*t[88])/8 - (31*t[89])/8) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((7*t[1])/2 - (13*t[3])/4 + (35*t[5])/16 + (49*t[6])/16 + (13*t[7])/4 + 
       (39*t[8])/4 + (81*t[9])/16 + (67*t[10])/4 + (135*t[11])/16 - 
       (125*t[12])/16 - (65*t[13])/12 + (199*t[14])/24 + (127*t[15])/96 + 
       t[16]/4 - (5*t[25])/2 + t[26] + t[36]/2 + (5*t[38])/2 + (11*t[46])/2 - 
       (15*t[48])/16 - 4*t[49] + (9*t[50])/16 - (15*t[51])/8 - (9*t[52])/16 + 
       2*t[53] - (9*t[54])/16 - (15*t[59])/4 + (123*t[60])/8 + 
       (151*t[61])/8 - (367*t[62])/16 - (25*t[63])/16 - (45*t[64])/16 - 
       (89*t[65])/6 - (37*t[66])/12 - t[67]/4 - 8*t[69] + 2*t[70] - 2*t[71] - 
       t[74]/2 - t[81]/4 + t[82]/4 - (3*t[84])/4 + (3*t[85])/8 - 
       (23*t[87])/8 - (31*t[88])/16 - (59*t[89])/16) + 
     HPL[{1}, 1 - w]^2*M1[w, u, v]*((-31*t[2])/24 - (5*t[3])/2 - (3*t[4])/8 - 
       (25*t[5])/4 - (27*t[6])/16 + (33*t[7])/4 + (3*t[8])/8 + 8*t[9] + 
       (5*t[10])/16 + (9*t[11])/16 + (9*t[12])/16 - (53*t[13])/24 + 
       (215*t[14])/96 + (239*t[15])/144 - t[23]/2 - t[24]/2 + 3*t[29] + 
       (11*t[30])/4 + t[31]/2 + (7*t[32])/4 - (7*t[33])/4 + 2*t[35] + 
       (9*t[44])/4 + (9*t[48])/16 - (3*t[49])/16 + (87*t[50])/16 + 
       (3*t[51])/32 - (87*t[52])/16 + (3*t[53])/16 - (9*t[54])/16 + 
       (5*t[59])/12 - 6*t[60] + (51*t[61])/8 - t[62]/8 + (109*t[63])/8 - 
       (101*t[64])/16 + (31*t[65])/6 + (17*t[66])/2 + t[73]/2 - t[74]/2 + 
       t[75]/2 + (3*t[76])/2 - t[79]/2 - t[81]/4 + t[82]/4 + t[83]/2 - 
       t[84]/2 - (7*t[85])/8 + (3*t[86])/2 + t[87]/2 + t[88]/4 - 
       (29*t[89])/8) + HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - v]*
      ((31*t[2])/4 - 6*t[3] + (9*t[4])/4 + (21*t[5])/2 - 12*t[6] + 
       (9*t[7])/2 - (141*t[8])/4 + (21*t[9])/4 - (15*t[10])/8 + 
       (57*t[11])/4 - (39*t[12])/8 + (11*t[13])/2 + (199*t[14])/16 - t[15] + 
       3*t[23] + 3*t[24] - 3*t[29] - (3*t[30])/2 - 3*t[31] + (3*t[32])/2 - 
       (3*t[33])/2 - 12*t[35] - 9*t[44] - (27*t[48])/4 + (9*t[49])/8 + 
       (9*t[50])/2 - (9*t[51])/16 - (9*t[52])/2 - (9*t[53])/8 - 
       (57*t[54])/4 - (5*t[59])/2 + (93*t[60])/4 - (3*t[61])/2 - 
       (59*t[62])/8 - (105*t[63])/8 - (87*t[64])/4 - (107*t[65])/4 - 
       (153*t[66])/4 - 3*t[73] + 3*t[74] - 3*t[75] + 3*t[79] + (3*t[81])/2 - 
       (3*t[82])/2 + 3*t[83] + (3*t[84])/4 - 9*t[86] - (51*t[87])/4 - 
       (51*t[88])/8 - (27*t[89])/8) + D33[w, u, v]*(-t[2] + t[3] - t[4]/4 + 
       t[5] - t[6]/2 - t[7] - 4*t[8] - (5*t[9])/2 - (21*t[10])/8 - 
       (5*t[12])/8 - (25*t[13])/36 - (103*t[14])/48 - (3*t[15])/8 + t[23] - 
       t[32] + t[33] + t[34] - t[39] + t[40] - t[41]/2 + t[42]/2 - t[47] - 
       (3*t[48])/2 + (9*t[49])/8 - t[50]/2 - (9*t[51])/16 - t[52]/2 - 
       (9*t[53])/8 - (5*t[54])/4 - t[60]/4 - (15*t[61])/4 + (29*t[62])/8 + 
       (43*t[63])/8 + (17*t[64])/8 - (95*t[65])/12 - (5*t[66])/4 + t[76]/2 - 
       t[77] - (5*t[78])/2 - 2*t[80] - (9*t[84])/4 + (7*t[85])/4 - 
       (3*t[87])/4 - (3*t[88])/8 - (21*t[89])/8) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*
      (t[2] - (93*t[3])/16 + (3*t[4])/8 - (27*t[5])/16 - (9*t[6])/2 + 
       (79*t[7])/8 - (129*t[8])/8 + (203*t[9])/16 + (9*t[10])/16 + 
       (79*t[11])/16 - t[12] + t[13]/32 + (847*t[14])/96 + (23*t[15])/144 - 
       t[29]/2 - (9*t[30])/4 + t[32]/4 - t[33]/4 - (3*t[35])/2 - 
       (5*t[44])/2 - (67*t[48])/16 + (3*t[49])/16 + (69*t[50])/16 - 
       (3*t[51])/32 - (69*t[52])/16 - (3*t[53])/16 - (79*t[54])/16 + 
       t[59]/6 + (111*t[60])/8 + (3*t[61])/2 - (191*t[62])/48 + 
       (5*t[63])/16 - (99*t[64])/4 - (293*t[65])/24 - (85*t[66])/8 + 
       t[69]/2 - t[70]/4 + t[71]/4 - t[73]/2 + t[74] - (3*t[75])/2 + t[79] + 
       t[81]/4 - t[82]/4 + (13*t[83])/8 + (17*t[84])/8 + (5*t[85])/2 - 
       (7*t[86])/2 - (81*t[87])/8 - (81*t[88])/16 - (35*t[89])/16) + 
     HPL[{1}, 1 - w]*Phi6[u, v, w]^2*((3*t[3])/2 - (15*t[4])/8 + 
       (3*t[5])/16 - (9*t[6])/4 + (35*t[7])/8 - (27*t[8])/8 + (33*t[9])/16 - 
       (27*t[10])/16 + (5*t[11])/4 + t[12]/2 - (37*t[13])/36 - 
       (25*t[14])/96 - (95*t[15])/96 - t[28]/2 + t[32]/2 - t[33]/2 + 
       t[35]/2 + t[36]/2 + t[43]/4 + t[44]/2 - (3*t[48])/2 - (3*t[49])/16 + 
       (3*t[50])/2 + (3*t[51])/32 - (3*t[52])/2 + (3*t[53])/16 - 
       (13*t[54])/8 + t[60]/8 - (5*t[61])/8 - (85*t[62])/16 + (17*t[63])/16 + 
       (61*t[64])/16 - (23*t[65])/12 - (7*t[66])/6 - t[74]/2 - t[75]/2 - 
       t[77]/2 - t[78]/2 - t[79]/2 + t[80] - t[81]/4 + t[82]/4 + 
       (3*t[83])/2 - t[84]/2 + t[85]/8 + (15*t[86])/2 + (3*t[87])/8 + 
       (3*t[88])/16 - (33*t[89])/16) + B8[v, w, u]*HPL[{1}, 1 - u]*
      (-t[1]/2 + (3*t[2])/4 + (5*t[3])/4 - (9*t[4])/2 + 4*t[5] - t[6] + 
       t[7]/4 + (3*t[8])/4 - (13*t[9])/4 - (17*t[10])/4 - (3*t[11])/4 + 
       (5*t[12])/4 - (83*t[13])/36 - (11*t[14])/4 + (5*t[15])/12 + t[36] + 
       t[43]/2 - t[49]/2 + t[51]/4 + t[53]/2 - 6*t[60] - (7*t[61])/2 - 
       t[62]/4 + t[63]/4 + (23*t[64])/2 + (13*t[65])/12 + (29*t[66])/12 - 
       t[75] - t[77] - t[78] + 2*t[80] - t[81]/2 + t[82]/2 + t[83] - 
       (3*t[84])/4 + 6*t[86] + (7*t[87])/2 + (7*t[88])/4 - (3*t[89])/2) + 
     B10[v, w, u]*HPL[{1}, 1 - u]*(-t[3] - 2*t[5] - t[6] + 2*t[7] + 2*t[8] + 
       2*t[9] + t[11] - (2*t[13])/3 + t[14] + t[15]/2 - t[48] + t[50] - 
       t[52] - t[54] + 2*t[61] - t[62] + 6*t[63] - t[64] + (4*t[66])/3 - 
       t[89]) + B11[u, v, w]*HPL[{1}, 1 - w]*(t[2] + t[5] + t[6] - t[7] - 
       t[8] - 2*t[9] - t[10] + t[13]/2 + t[14]/3 + (2*t[15])/3 + t[61] + 
       3*t[62] + t[63] - 3*t[64] - (4*t[65])/3 - 4*t[86] - t[89]) + 
     B9[w, u, v]*HPL[{1}, 1 - w]*((-3*t[2])/2 + t[5] + t[6] - t[7]/2 + 
       (5*t[8])/2 - (7*t[9])/2 - (3*t[10])/2 + t[12]/2 + (4*t[13])/3 + 
       t[14]/3 + (11*t[15])/12 + 2*t[28] + 2*t[33] + t[61] + 2*t[62] - 
       (17*t[63])/2 - t[64]/2 - (10*t[66])/3 - 2*t[74] - 2*t[79] - 2*t[86] - 
       t[89]) + D25[w, v, u]*((-3*t[2])/2 + t[3] - (5*t[4])/2 + (5*t[5])/4 - 
       t[7] + 3*t[8] - (19*t[9])/4 - (3*t[10])/4 - 4*t[11] + t[12]/2 - 
       (5*t[13])/3 - (43*t[14])/24 - (7*t[15])/24 + 2*t[33] - t[49]/4 + 
       t[51]/8 + t[53]/4 + t[54]/2 - t[60] - (11*t[61])/2 + 2*t[62] + 
       2*t[63] - (17*t[64])/4 + t[65] + (10*t[66])/3 - (3*t[89])/4) + 
     B5[v, u, w]*HPL[{1}, 1 - u]*(t[6]/4 - 2*t[8] + t[9]/2 - t[11]/4 + 
       t[12]/2 + t[13]/3 + t[14]/4 + t[15]/12 - t[24] - t[48]/4 - t[50]/4 + 
       t[52]/4 + t[54]/4 + t[60]/2 - t[61]/2 - t[62]/4 + (5*t[63])/4 - 
       (5*t[64])/4 - (13*t[65])/6 + t[66]/6 - t[72] - t[83] - t[84]/2 + 
       t[85]/2 - t[87]/2 - t[88]/4 - (3*t[89])/4) + 
     D32[w, u, v]*(2*t[5] - (15*t[6])/4 + 3*t[7] - 9*t[8] - t[9] - 4*t[10] + 
       (15*t[11])/4 + t[12]/2 + (11*t[13])/3 - (11*t[14])/4 - (5*t[15])/12 + 
       4*t[23] - 3*t[32] + 3*t[34] + 4*t[40] - (9*t[48])/4 - (9*t[50])/4 - 
       (15*t[52])/4 - (15*t[54])/4 + t[60]/2 - (9*t[61])/2 + (3*t[62])/4 - 
       (3*t[63])/4 + (11*t[64])/4 - (23*t[65])/6 - (97*t[66])/6 - 
       (3*t[84])/2 - t[85]/2 + (3*t[87])/2 - t[88]/4 - (3*t[89])/4) + 
     D24[u, v, w]*(t[3]/2 + t[5] - (3*t[6])/4 - t[7] - t[8] - (3*t[9])/2 + 
       (3*t[11])/4 + t[13]/3 - (3*t[14])/4 - t[48]/4 - t[50]/4 + t[52]/4 - 
       (3*t[54])/4 - t[60]/2 - t[61]/2 - t[62]/4 + t[63]/4 + (7*t[64])/4 - 
       (5*t[65])/6 - (7*t[66])/6 - t[84]/2 - t[85]/2 + t[87]/2 + t[88]/4 - 
       (3*t[89])/4) + B5[v, w, u]*HPL[{1}, 1 - u]*(-t[3]/2 - (3*t[6])/4 + 
       t[7] - t[8] + t[9]/2 + (3*t[11])/4 - t[12]/2 + t[14]/4 + t[15]/6 - 
       t[48]/4 + (3*t[50])/4 - (3*t[52])/4 - (3*t[54])/4 + t[60]/2 + 
       (3*t[61])/2 - t[62]/4 + t[63]/4 + (3*t[64])/4 + t[65]/6 - 
       (13*t[66])/6 + t[83] + t[84]/2 - t[85]/2 + t[87]/2 + t[88]/4 - 
       (3*t[89])/4) + HPL[{1}, 1 - w]^3*Omega2[w, u, v]*
      ((-2*t[2])/3 + (7*t[3])/2 + 5*t[5] + (9*t[6])/4 - (31*t[7])/4 + 
       5*t[8] - 10*t[9] - t[10] - (7*t[11])/4 - t[12] + (7*t[13])/12 - 
       (16*t[14])/3 + t[20] + t[23] + t[24] + 2*t[28] + 2*t[30] - t[31] + 
       t[32] + t[34] - 2*t[35] + 3*t[48] - (9*t[50])/4 + (9*t[52])/4 + 
       (7*t[54])/4 + t[59]/2 - (9*t[60])/2 - (9*t[61])/4 + (17*t[62])/3 - 
       t[63]/2 + (83*t[64])/8 + (23*t[65])/12 + (25*t[66])/4 + 2*t[75] - 
       4*t[83] - (9*t[84])/4 - (13*t[85])/4 - 4*t[86] + 3*t[87] + 
       (3*t[88])/2 - (3*t[89])/4) + D21[w, u, v]*(-t[3] - t[6]/2 + t[7] - 
       t[8] + t[9] + t[11]/2 + (3*t[14])/2 + t[34] - t[48]/2 + t[50]/2 - 
       t[52]/2 - t[54]/2 + 2*t[60] - t[62]/2 + t[63]/2 - (3*t[64])/2 - 
       (7*t[65])/3 - (2*t[66])/3 - t[87] - t[88]/2 - t[89]/2) + 
     D20[v, w, u]*(-t[6]/2 + t[7] - 2*t[8] + t[9] + t[11]/2 + t[14]/2 - 
       t[15]/18 - t[48]/2 + t[50]/2 - t[52]/2 - t[54]/2 + t[60] - t[62]/2 + 
       t[63]/2 - 2*t[64] - (4*t[65])/3 - (2*t[66])/3 - t[87] - t[88]/2 - 
       t[89]/2) + F1[w, u, v]*Phi6[u, v, w]*((3*t[2])/8 + (3*t[3])/4 - 
       (3*t[5])/4 - t[6]/4 + (5*t[7])/2 - (11*t[8])/4 + (29*t[9])/8 - 
       t[10]/2 + t[11]/4 + (5*t[12])/8 + (7*t[13])/12 - (27*t[14])/16 - 
       (19*t[15])/16 + t[32]/2 - t[33]/2 - t[35] + t[36]/2 + t[39]/2 - 
       t[40]/2 - t[46]/4 + t[47]/2 - (5*t[48])/4 - (5*t[49])/4 + 
       (5*t[50])/4 + (11*t[51])/16 - (5*t[52])/4 + (5*t[53])/4 - 
       (5*t[54])/4 + t[60] + t[62]/2 - t[63]/2 - 2*t[64] + (2*t[65])/3 - 
       t[82]/2 - t[87] - t[88]/2 - t[89]/2) + 
     D22[v, w, u]*(t[5] - t[6]/2 - t[9] + t[11]/2 - t[12]/2 - t[13]/2 - 
       t[14]/2 + t[15]/2 + t[48]/2 + t[50]/2 - t[52]/2 - t[54]/2 - t[60] + 
       t[61] - t[62]/2 + t[63]/2 + t[64]/2 + t[65]/3 + (4*t[66])/3 - t[85] + 
       t[87] + t[88]/2 - t[89]/2) + D25[v, w, u]*((3*t[60])/2 - t[61]/2 + 
       t[62]/4 - (13*t[63])/4 + (5*t[64])/4 + (5*t[65])/3 - t[81] - t[82] + 
       (3*t[85])/2 - (3*t[87])/2 - (3*t[88])/4 - t[89]/4) + 
     D24[w, u, v]*(-t[6]/4 - t[9]/2 + t[11]/4 - t[13]/6 - t[14]/4 + t[15]/4 + 
       t[48]/4 + t[50]/4 - t[52]/4 - t[54]/4 - (3*t[60])/2 + t[61]/2 + 
       t[62]/4 + (7*t[63])/4 + t[64]/4 + t[65]/2 + (3*t[66])/2 - t[84]/2 - 
       t[85]/2 + t[87]/2 + t[88]/4 - t[89]/4) + B9[v, w, u]*HPL[{1}, 1 - w]*
      ((3*t[2])/2 - (3*t[4])/2 + (7*t[5])/4 + t[6] - 2*t[7] - (21*t[8])/2 - 
       (17*t[9])/4 + (3*t[10])/4 - 3*t[11] - (5*t[12])/2 + (5*t[13])/6 - 
       t[14]/24 + (11*t[15])/24 + 2*t[36] - (3*t[49])/4 + (3*t[51])/8 + 
       (3*t[53])/4 + (3*t[54])/2 - (3*t[60])/2 - t[61]/2 + (23*t[62])/4 + 
       (21*t[63])/4 - (11*t[64])/4 + (5*t[65])/3 + (2*t[66])/3 - 2*t[68] - 
       4*t[79] + t[81] - t[82] - 2*t[83] - (3*t[85])/2 - 8*t[86] + 
       (3*t[87])/2 + (3*t[88])/4 - t[89]/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*((-47*t[1])/3 + (91*t[3])/12 - 
       (80*t[4])/3 + (35*t[5])/24 - (77*t[6])/8 - (91*t[7])/12 - 
       (91*t[8])/4 - (457*t[9])/24 + (245*t[10])/12 - (557*t[11])/24 + 
       (745*t[12])/24 - (863*t[13])/72 - (475*t[14])/36 + (419*t[15])/144 + 
       (7*t[16])/3 - (17*t[25])/3 + (55*t[26])/3 + (14*t[36])/3 - 
       (29*t[37])/3 - (40*t[38])/3 + 2*t[46] + (3*t[48])/8 + (8*t[49])/3 + 
       (133*t[50])/24 - (41*t[51])/6 - (133*t[52])/24 - (4*t[53])/3 - 
       (133*t[54])/24 + (26*t[59])/3 - (767*t[60])/12 - (235*t[61])/12 + 
       (505*t[62])/24 + (763*t[63])/24 - (95*t[64])/24 + (293*t[65])/12 + 
       (261*t[66])/4 - (7*t[67])/3 + 9*t[69] + t[70] - t[71] - (14*t[74])/3 - 
       (7*t[81])/3 + (7*t[82])/3 - (91*t[84])/12 - (71*t[85])/12 + 
       (127*t[87])/4 + (87*t[88])/8 - (5*t[89])/24) + 
     B7[v, w, u]*HPL[{1}, 1 - w]*(t[1]/2 - t[3]/4 + (3*t[4])/4 - 
       (17*t[5])/8 + (5*t[7])/4 + (7*t[8])/4 + (13*t[9])/8 + (9*t[10])/8 + 
       t[11]/4 - (3*t[12])/2 + (7*t[13])/12 + (19*t[14])/48 - (7*t[15])/16 + 
       t[49]/8 - t[51]/16 - t[53]/8 - t[54]/4 + (9*t[60])/4 + t[61]/4 - 
       (31*t[62])/8 - (13*t[63])/8 + (13*t[64])/8 - (5*t[65])/4 - 
       (13*t[66])/12 + t[83] - t[84]/4 + t[85]/4 + 4*t[86] - (3*t[87])/4 - 
       (3*t[88])/8 - t[89]/8) + B7[v, w, u]*HPL[{1}, 1 - u]*
      (-t[1]/2 + t[3]/4 - (3*t[4])/4 + (17*t[5])/8 - (5*t[7])/4 - 
       (7*t[8])/4 - (13*t[9])/8 - (9*t[10])/8 - t[11]/4 + (3*t[12])/2 - 
       (7*t[13])/12 - (19*t[14])/48 + (7*t[15])/16 - t[49]/8 + t[51]/16 + 
       t[53]/8 + t[54]/4 - (9*t[60])/4 - t[61]/4 + (31*t[62])/8 + 
       (13*t[63])/8 - (13*t[64])/8 + (5*t[65])/4 + (13*t[66])/12 - t[83] + 
       t[84]/4 - t[85]/4 - 4*t[86] + (3*t[87])/4 + (3*t[88])/8 + t[89]/8) + 
     D26[w, u, v]*(-t[60]/2 - (5*t[61])/2 + 2*t[62] + t[64]/4 + 
       (17*t[65])/3 + (11*t[66])/2 + t[76] + 2*t[80] + t[89]/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^5*((3*t[2])/64 - (3*t[3])/8 - 
       (5*t[5])/8 - t[6]/8 + (35*t[7])/64 + (17*t[8])/64 + (49*t[9])/64 + 
       (5*t[10])/64 + t[11]/16 + (11*t[12])/64 - (11*t[13])/192 + 
       (5*t[14])/12 - (13*t[15])/1152 - t[20]/8 - t[23]/8 - t[24]/8 - 
       t[28]/4 - t[30]/4 + t[31]/8 - t[32]/8 - t[34]/8 + (3*t[35])/8 - 
       (3*t[48])/16 + t[50]/16 - t[52]/16 - t[54]/16 - (5*t[59])/96 + 
       t[60]/8 + (3*t[61])/16 - (55*t[62])/96 - (3*t[63])/32 - (9*t[64])/32 + 
       t[65]/3 - (9*t[66])/16 - t[74]/16 - t[75]/4 - t[79]/16 + t[83]/2 + 
       t[84]/4 + (3*t[85])/8 + (11*t[86])/16 + t[89]/4) + 
     D29[w, u, v]*(-3*t[2] + t[3] - (5*t[5])/4 + (5*t[6])/4 + (17*t[8])/2 - 
       (15*t[9])/4 - (3*t[10])/2 + (23*t[11])/4 - (13*t[12])/4 + 2*t[13] + 
       (2*t[14])/3 + (9*t[15])/8 - t[17] + 2*t[24] + 2*t[33] - 2*t[39] + 
       t[48]/4 - (7*t[50])/4 + (7*t[52])/4 + (7*t[54])/4 + t[55] + 
       (3*t[60])/2 + t[61]/2 + t[62]/4 - (13*t[63])/4 - (5*t[64])/4 - 
       (5*t[65])/3 - (10*t[66])/3 + 2*t[68] - t[81] + t[82] + (3*t[85])/2 - 
       (3*t[87])/2 - (3*t[88])/4 + t[89]/4) + B9[v, w, u]*HPL[{1}, 1 - u]*
      ((-3*t[2])/2 + (3*t[4])/2 - (7*t[5])/4 - t[6] + 2*t[7] + (21*t[8])/2 + 
       (17*t[9])/4 - (3*t[10])/4 + 3*t[11] + (5*t[12])/2 - (5*t[13])/6 + 
       t[14]/24 - (11*t[15])/24 - 2*t[36] + (3*t[49])/4 - (3*t[51])/8 - 
       (3*t[53])/4 - (3*t[54])/2 + (3*t[60])/2 + t[61]/2 - (23*t[62])/4 - 
       (21*t[63])/4 + (11*t[64])/4 - (5*t[65])/3 - (2*t[66])/3 + 2*t[68] + 
       4*t[79] - t[81] + t[82] + 2*t[83] + (3*t[85])/2 + 8*t[86] - 
       (3*t[87])/2 - (3*t[88])/4 + t[89]/4) + HPL[{1}, 1 - w]^5*
      HPL[{0, 1}, 1 - u]*(t[2]/96 - (3*t[3])/4 - (5*t[5])/4 - t[6]/4 + 
       (35*t[7])/32 + (17*t[8])/32 + (49*t[9])/32 + (5*t[10])/32 + t[11]/8 + 
       (11*t[12])/32 - (11*t[13])/96 + (5*t[14])/6 + (19*t[15])/576 - 
       t[20]/4 - t[23]/4 - t[24]/4 - t[28]/2 - t[30]/2 + t[31]/4 - t[32]/4 - 
       t[34]/4 + (3*t[35])/4 - (3*t[48])/8 + t[50]/8 - t[52]/8 - t[54]/8 - 
       (9*t[59])/80 + t[60]/4 + (3*t[61])/8 - (55*t[62])/48 - (3*t[63])/16 - 
       (9*t[64])/16 + (2*t[65])/3 - (9*t[66])/8 - t[74]/8 - t[75]/2 - 
       t[79]/8 + t[83] + t[84]/2 + (3*t[85])/4 + (11*t[86])/8 + t[89]/2) + 
     D21[u, v, w]*(t[6]/2 - t[7] + t[8] - t[11]/2 + t[14]/2 - t[15]/2 + 
       t[48]/2 - t[50]/2 + t[52]/2 + t[54]/2 + 2*t[60] - t[61] + t[62]/2 - 
       t[63]/2 - t[64]/2 - (5*t[65])/3 + (2*t[66])/3 - t[87] - t[88]/2 + 
       t[89]/2) + B5[v, w, u]*HPL[{1}, 1 - w]*(t[3]/2 + (3*t[6])/4 - t[7] + 
       t[8] - t[9]/2 - (3*t[11])/4 + t[12]/2 - t[14]/4 - t[15]/6 + t[48]/4 - 
       (3*t[50])/4 + (3*t[52])/4 + (3*t[54])/4 - t[60]/2 - (3*t[61])/2 + 
       t[62]/4 - t[63]/4 - (3*t[64])/4 - t[65]/6 + (13*t[66])/6 - t[83] - 
       t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + (3*t[89])/4) + 
     D27[u, w, v]*(t[3]/2 - 2*t[5] + (3*t[6])/4 + 5*t[7] + t[8] + 5*t[9] - 
       (3*t[11])/4 - t[12]/2 - (11*t[13])/6 + (11*t[14])/4 - (2*t[15])/3 + 
       3*t[32] - 3*t[34] + t[48]/4 + (9*t[50])/4 - (9*t[52])/4 + 
       (3*t[54])/4 + (5*t[60])/2 + (9*t[61])/2 - (3*t[62])/4 + (3*t[63])/4 - 
       (23*t[64])/4 + (5*t[65])/6 + (29*t[66])/6 + (3*t[84])/2 + t[85]/2 - 
       t[87]/2 - t[88]/4 + (3*t[89])/4) + D32[u, v, w]*
      ((-5*t[2])/2 + (3*t[3])/2 - t[5] + (11*t[6])/4 - 6*t[7] + 6*t[8] + 
       (3*t[9])/2 + (5*t[11])/4 + t[12]/2 + (17*t[14])/12 + t[15]/6 - t[34] + 
       t[48]/4 + (5*t[50])/4 - (5*t[52])/4 - t[53] - (5*t[54])/4 + t[59]/2 - 
       (11*t[60])/2 + 2*t[61] + (21*t[62])/4 + (3*t[63])/4 - (3*t[64])/4 + 
       (31*t[65])/6 + (11*t[66])/6 - (3*t[84])/2 - t[85]/2 + (3*t[87])/2 - 
       t[88]/4 + (3*t[89])/4) + B5[v, u, w]*HPL[{1}, 1 - w]*
      (-t[6]/4 + 2*t[8] - t[9]/2 + t[11]/4 - t[12]/2 - t[13]/3 - t[14]/4 - 
       t[15]/12 + t[24] + t[48]/4 + t[50]/4 - t[52]/4 - t[54]/4 - t[60]/2 + 
       t[61]/2 + t[62]/4 - (5*t[63])/4 + (5*t[64])/4 + (13*t[65])/6 - 
       t[66]/6 + t[72] + t[83] + t[84]/2 - t[85]/2 + t[87]/2 + t[88]/4 + 
       (3*t[89])/4) + D9[u, w, v]*t[89] + B10[v, w, u]*HPL[{1}, 1 - w]*
      (t[3] + 2*t[5] + t[6] - 2*t[7] - 2*t[8] - 2*t[9] - t[11] + 
       (2*t[13])/3 - t[14] - t[15]/2 + t[48] - t[50] + t[52] + t[54] - 
       2*t[61] + t[62] - 6*t[63] + t[64] - (4*t[66])/3 + t[89]) + 
     D20[w, u, v]*(t[6] - 2*t[7] + 4*t[8] - t[9] - t[11] - t[44] + t[48] - 
       t[50] + t[52] + t[54] - t[61] + (3*t[62])/2 - (3*t[63])/2 + 
       (3*t[64])/2 + (2*t[65])/3 + (4*t[66])/3 + t[89]) + 
     D11[w, v, u]*(-t[3] - t[5] + t[6] + 2*t[7] + 2*t[8] + 2*t[9] - t[11] - 
       (5*t[13])/6 + t[14] + t[15]/2 + t[48] + t[50] - t[52] + t[54] + 
       2*t[61] - 2*t[64] + (7*t[65])/3 + (7*t[66])/3 + t[84] + t[89]) + 
     B9[w, u, v]*HPL[{1}, 1 - u]*((3*t[2])/2 - t[5] - t[6] + t[7]/2 - 
       (5*t[8])/2 + (7*t[9])/2 + (3*t[10])/2 - t[12]/2 - (4*t[13])/3 - 
       t[14]/3 - (11*t[15])/12 - 2*t[28] - 2*t[33] - t[61] - 2*t[62] + 
       (17*t[63])/2 + t[64]/2 + (10*t[66])/3 + 2*t[74] + 2*t[79] + 2*t[86] + 
       t[89]) + B11[u, v, w]*HPL[{1}, 1 - u]*(-t[2] - t[5] - t[6] + t[7] + 
       t[8] + 2*t[9] + t[10] - t[13]/2 - t[14]/3 - (2*t[15])/3 - t[61] - 
       3*t[62] - t[63] + 3*t[64] + (4*t[65])/3 + 4*t[86] + t[89]) + 
     D25[u, v, w]*((7*t[60])/2 + 2*t[61] + (3*t[62])/4 + (53*t[63])/4 - 
       2*t[64] + (7*t[65])/3 - t[66] + t[67] + 2*t[74] + t[81] - t[82] + 
       t[84] + t[85]/2 - (5*t[87])/2 - (5*t[88])/4 + t[89]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - v]*((-31*t[2])/12 + 2*t[3] - 
       (3*t[4])/4 - (7*t[5])/2 + 4*t[6] - (3*t[7])/2 + (47*t[8])/4 - 
       (7*t[9])/4 + (5*t[10])/8 - (19*t[11])/4 + (13*t[12])/8 - 
       (11*t[13])/6 - (199*t[14])/48 + t[15]/3 - t[23] - t[24] + t[29] + 
       t[30]/2 + t[31] - t[32]/2 + t[33]/2 + 4*t[35] + 3*t[44] + 
       (9*t[48])/4 - (3*t[49])/8 - (3*t[50])/2 + (3*t[51])/16 + (3*t[52])/2 + 
       (3*t[53])/8 + (19*t[54])/4 + (5*t[59])/6 - (31*t[60])/4 + 
       (55*t[62])/24 + (35*t[63])/8 + (31*t[64])/4 + (107*t[65])/12 + 
       (51*t[66])/4 + t[73] - t[74] + t[75] - t[79] - t[81]/2 + t[82]/2 - 
       t[83] - t[84]/4 + 3*t[86] + (17*t[87])/4 + (17*t[88])/8 + 
       (9*t[89])/8) + D27[w, u, v]*((5*t[2])/2 - 4*t[3] + t[5] + (5*t[6])/4 - 
       2*t[7] + 2*t[8] - (3*t[9])/2 - (5*t[11])/4 - t[12]/2 + (19*t[14])/12 + 
       t[15]/4 + t[34] + (11*t[48])/4 - (5*t[50])/4 + (5*t[52])/4 + t[53] + 
       (5*t[54])/4 - t[59]/2 + (11*t[60])/2 - 2*t[61] - (5*t[62])/4 - 
       (19*t[63])/4 + (7*t[64])/4 - (5*t[65])/2 - (11*t[66])/6 + 
       (3*t[84])/2 + t[85]/2 - t[87]/2 - t[88]/4 + (5*t[89])/4) + 
     B8[v, w, u]*HPL[{1}, 1 - w]*(t[1]/2 - (3*t[2])/4 - (5*t[3])/4 + 
       (9*t[4])/2 - 4*t[5] + t[6] - t[7]/4 - (3*t[8])/4 + (13*t[9])/4 + 
       (17*t[10])/4 + (3*t[11])/4 - (5*t[12])/4 + (83*t[13])/36 + 
       (11*t[14])/4 - (5*t[15])/12 - t[36] - t[43]/2 + t[49]/2 - t[51]/4 - 
       t[53]/2 + 6*t[60] + (7*t[61])/2 + t[62]/4 - t[63]/4 - (23*t[64])/2 - 
       (13*t[65])/12 - (29*t[66])/12 + t[75] + t[77] + t[78] - 2*t[80] + 
       t[81]/2 - t[82]/2 - t[83] + (3*t[84])/4 - 6*t[86] - (7*t[87])/2 - 
       (7*t[88])/4 + (3*t[89])/2) + HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]^2*
      ((-3*t[3])/4 - (105*t[5])/64 + (119*t[6])/64 - (3*t[7])/8 + 
       (181*t[8])/32 + (45*t[9])/64 + (3*t[10])/32 - (125*t[11])/64 - 
       (3*t[12])/64 - (67*t[13])/96 + (45*t[14])/32 + (391*t[15])/1152 - 
       t[28]/8 + (9*t[29])/32 - t[31]/8 - t[35]/4 + (3*t[40])/16 - 
       (27*t[44])/32 + (43*t[48])/64 - (19*t[50])/64 + (19*t[52])/64 + 
       (119*t[54])/64 - (33*t[60])/32 + (33*t[61])/32 + (3*t[62])/2 + 
       (9*t[63])/8 - (59*t[64])/64 + (319*t[65])/144 + (227*t[66])/48 - 
       t[72]/8 - t[73]/8 - (3*t[75])/8 - (3*t[76])/8 + t[79]/8 + t[83]/4 + 
       (5*t[84])/16 + (5*t[85])/16 - (3*t[86])/8 + t[87]/32 + t[88]/64 + 
       (125*t[89])/64) + D33[u, v, w]*(t[2]/2 - (5*t[3])/4 - t[4] - t[5]/8 + 
       t[6]/2 + (5*t[7])/4 - (9*t[8])/4 + (25*t[9])/8 + (5*t[10])/4 + 
       (3*t[11])/4 + (17*t[12])/8 + (5*t[13])/3 + (67*t[14])/24 + 
       (5*t[15])/48 + t[41]/2 - t[42]/2 - t[45]/2 + (3*t[47])/2 - 
       (3*t[48])/2 - (3*t[49])/2 + t[50]/2 + (3*t[51])/4 - t[52]/2 + 
       (3*t[53])/2 + t[54]/2 + t[59]/2 + (5*t[60])/2 + (7*t[61])/2 - 
       3*t[62] - 2*t[63] - 2*t[64] + 2*t[65] + (5*t[66])/6 + t[77] - 
       t[82]/2 + 2*t[89]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((9*t[1])/4 - (9*t[2])/4 + (3*t[3])/4 - (67*t[4])/8 + (39*t[5])/8 + 
       (89*t[6])/16 + (13*t[7])/2 + 7*t[8] + (29*t[9])/8 - (361*t[10])/16 + 
       (131*t[11])/16 - (109*t[12])/16 + (311*t[13])/36 + (99*t[14])/32 + 
       (5*t[15])/6 - t[17]/2 + t[18] + 4*t[19] + 2*t[21] - t[23] + 
       (5*t[24])/2 + (19*t[41])/4 - (19*t[42])/4 - (5*t[43])/2 - 3*t[45] - 
       t[46]/4 + 4*t[47] - (3*t[48])/16 - (23*t[49])/16 - (3*t[50])/16 + 
       (29*t[51])/32 + (3*t[52])/16 + (23*t[53])/16 + (73*t[54])/16 + t[59] - 
       4*t[60] + 21*t[61] - 9*t[62] + 5*t[63] + 17*t[64] + (26*t[65])/3 - 
       (40*t[66])/3 - 8*t[69] + 4*t[80] + 4*t[84] - 4*t[85] + 4*t[86] + 
       4*t[87] + 2*t[88] + 2*t[89]) + HPL[{1}, 1 - u]*Phi6[u, v, w]^2*
      ((-3*t[3])/2 + (15*t[4])/8 - (3*t[5])/16 + (9*t[6])/4 - (35*t[7])/8 + 
       (27*t[8])/8 - (33*t[9])/16 + (27*t[10])/16 - (5*t[11])/4 - t[12]/2 + 
       (37*t[13])/36 + (25*t[14])/96 + (95*t[15])/96 + t[28]/2 - t[32]/2 + 
       t[33]/2 - t[35]/2 - t[36]/2 - t[43]/4 - t[44]/2 + (3*t[48])/2 + 
       (3*t[49])/16 - (3*t[50])/2 - (3*t[51])/32 + (3*t[52])/2 - 
       (3*t[53])/16 + (13*t[54])/8 - t[60]/8 + (5*t[61])/8 + (85*t[62])/16 - 
       (17*t[63])/16 - (61*t[64])/16 + (23*t[65])/12 + (7*t[66])/6 + 
       t[74]/2 + t[75]/2 + t[77]/2 + t[78]/2 + t[79]/2 - t[80] + t[81]/4 - 
       t[82]/4 - (3*t[83])/2 + t[84]/2 - t[85]/8 - (15*t[86])/2 - 
       (3*t[87])/8 - (3*t[88])/16 + (33*t[89])/16) + 
     D27[w, v, u]*(-t[1] + (3*t[2])/2 - 2*t[3] - (5*t[4])/2 - 2*t[5] + 
       (9*t[6])/4 + 4*t[7] + 4*t[8] + 6*t[9] + (11*t[10])/4 - (21*t[11])/4 - 
       t[12]/4 - (17*t[13])/6 + (83*t[14])/24 + (5*t[15])/3 - t[38] + t[40] + 
       (3*t[48])/4 + t[49]/4 + (7*t[50])/4 - (5*t[51])/8 - (3*t[52])/4 - 
       t[53]/4 + (15*t[54])/4 + t[59]/2 - t[60]/2 + 2*t[61] + (5*t[62])/4 + 
       (19*t[63])/4 - (33*t[64])/4 + (11*t[65])/2 + (49*t[66])/6 + 
       (7*t[84])/2 + (5*t[85])/2 - (5*t[87])/2 - (5*t[88])/4 + (9*t[89])/4) + 
     HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - w]*((-3*t[3])/2 - (105*t[5])/32 + 
       (119*t[6])/32 - (3*t[7])/4 + (181*t[8])/16 + (45*t[9])/32 + 
       (3*t[10])/16 - (125*t[11])/32 - (3*t[12])/32 - (67*t[13])/48 + 
       (45*t[14])/16 + (391*t[15])/576 - t[28]/4 + (9*t[29])/16 - t[31]/4 - 
       t[35]/2 + (3*t[40])/8 - (27*t[44])/16 + (43*t[48])/32 - 
       (19*t[50])/32 + (19*t[52])/32 + (119*t[54])/32 - (33*t[60])/16 + 
       (33*t[61])/16 + 3*t[62] + (9*t[63])/4 - (59*t[64])/32 + 
       (319*t[65])/72 + (227*t[66])/24 - t[72]/4 - t[73]/4 - (3*t[75])/4 - 
       (3*t[76])/4 + t[79]/4 + t[83]/2 + (5*t[84])/8 + (5*t[85])/8 - 
       (3*t[86])/4 + t[87]/16 + t[88]/32 + (125*t[89])/32) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - v]*((-19*t[3])/4 - (19*t[5])/2 + 
       (39*t[6])/8 + (15*t[7])/2 + (21*t[8])/2 + (25*t[9])/4 - (39*t[11])/8 - 
       (13*t[13])/3 + (51*t[14])/8 + (119*t[15])/36 - t[29] + 3*t[30] - 
       t[31] - 2*t[35] + (3*t[40])/2 + (3*t[44])/2 - (7*t[48])/8 + 
       (29*t[50])/8 - (29*t[52])/8 + (39*t[54])/8 - (47*t[60])/4 + 
       (55*t[61])/4 - (9*t[62])/8 + (137*t[63])/8 - (69*t[64])/8 + 
       (419*t[65])/36 + (93*t[66])/4 - t[72] - 3*t[76] - 2*t[83] + t[84]/4 + 
       t[85]/4 + (19*t[87])/4 + (19*t[88])/8 + (39*t[89])/8) + 
     HPL[{1}, 1 - w]^2*Qep[v, w, u]*((-92*t[2])/9 + (128*t[3])/3 + 
       (160*t[5])/3 + (112*t[6])/3 - (356*t[7])/3 + (388*t[8])/3 - 148*t[9] - 
       (44*t[10])/3 - 32*t[11] - (20*t[12])/3 + (68*t[13])/9 - 
       (704*t[14])/9 - (26*t[15])/27 + (32*t[20])/3 + (32*t[23])/3 + 
       (32*t[24])/3 + (64*t[28])/3 + (64*t[30])/3 - (32*t[31])/3 + 
       (32*t[32])/3 + (32*t[34])/3 - (32*t[35])/3 + 48*t[48] - 
       (128*t[50])/3 + (128*t[52])/3 + 32*t[54] + (56*t[59])/9 - 
       (256*t[60])/3 - 32*t[61] + 72*t[62] - (56*t[63])/3 + (592*t[64])/3 + 
       (208*t[65])/3 + (256*t[66])/3 - (16*t[74])/3 + (64*t[75])/3 - 
       (16*t[79])/3 - (128*t[83])/3 - (80*t[84])/3 - (112*t[85])/3 - 
       (80*t[86])/3 + 64*t[87] + 32*t[88] + (16*t[89])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*
      ((5*t[2])/3 - (55*t[3])/4 - (5*t[5])/2 - (115*t[6])/8 - 5*t[7] + 
       (5*t[8])/2 + (35*t[9])/4 + (115*t[11])/8 + 5*t[13] + (595*t[14])/24 + 
       (10*t[15])/9 + (5*t[23])/2 - (45*t[30])/2 + (5*t[32])/2 - 
       (5*t[33])/2 - 25*t[44] - (5*t[48])/8 - (65*t[50])/8 + (65*t[52])/8 - 
       (115*t[54])/8 + (13*t[59])/3 + (195*t[60])/4 - (65*t[61])/4 - 
       (95*t[62])/8 - (405*t[63])/8 - (175*t[64])/8 - (235*t[65])/12 - 
       (785*t[66])/12 + (45*t[84])/4 + (45*t[85])/4 - (115*t[87])/4 - 
       (115*t[88])/8 + (65*t[89])/8) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-t[3] - (5*t[4])/2 + (3*t[5])/2 - 4*t[6] - 
       (23*t[7])/2 + (23*t[8])/2 - (7*t[9])/2 + 11*t[10] + (3*t[11])/2 - 
       t[12] - t[13]/2 + (39*t[14])/4 - (19*t[15])/2 - 8*t[32] - 3*t[48] - 
       (3*t[51])/4 + t[53] + (37*t[60])/2 + t[61] - (31*t[62])/2 + 
       (31*t[63])/2 - (5*t[64])/2 + (131*t[65])/6 + t[85] - t[87] - t[88]/2 + 
       (23*t[89])/2) + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*
      (130*t[2] + (75*t[3])/2 - (15*t[5])/2 + 15*t[8] + (15*t[9])/2 - 
       (15*t[11])/2 + (15*t[12])/2 - (85*t[13])/12 + 30*t[14] + 
       (35*t[15])/3 - 60*t[35] + (15*t[48])/2 - (15*t[50])/2 + (15*t[52])/2 + 
       (15*t[54])/2 - 61*t[59] - 100*t[60] - 30*t[61] - 70*t[62] - 30*t[63] + 
       195*t[64] + (190*t[65])/3 + (10*t[66])/3 - 60*t[69] + 30*t[70] - 
       30*t[71] - 15*t[83] + 60*t[86] + 15*t[89]) + 
     HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w]*(24*t[1] - 16*t[3] + 32*t[4] + 
       108*t[5] + 16*t[6] + 20*t[7] + 44*t[8] + 10*t[9] + 48*t[10] - 
       102*t[12] + 2*t[13] + (80*t[14])/3 + (82*t[15])/3 - 16*t[38] + 
       10*t[40] + 32*t[53] + 160*t[60] + 32*t[61] - 64*t[62] - 64*t[63] - 
       48*t[64] - 60*t[65] + 40*t[66] + 16*t[77] + 16*t[84] - 32*t[87] - 
       16*t[88] + 16*t[89]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      ((25*t[2])/2 - 100*t[3] + 3*t[4] - 45*t[5] - 58*t[6] + 125*t[7] - 
       181*t[8] + 176*t[9] + (57*t[10])/2 + 44*t[11] - (17*t[12])/2 - 
       (25*t[13])/6 + (423*t[14])/4 - t[15] - 8*t[18] - 24*t[28] - 12*t[29] - 
       48*t[30] - 48*t[32] + 24*t[33] + 6*t[34] - 16*t[35] - 50*t[48] - 
       (3*t[49])/2 + 50*t[50] + (3*t[51])/4 - 50*t[52] + (3*t[53])/2 - 
       47*t[54] - 5*t[59] + 181*t[60] + 6*t[61] - (129*t[62])/2 + 
       (39*t[63])/2 - (407*t[64])/2 - (382*t[65])/3 - 121*t[66] + 20*t[69] - 
       4*t[70] + 4*t[71] + 20*t[74] - 12*t[75] + 32*t[79] + 20*t[83] + 
       41*t[84] + 45*t[85] - 32*t[86] - 107*t[87] - (133*t[88])/2 + 
       (45*t[89])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      ((13*t[2])/6 - (7*t[3])/2 - 2*t[5] + (51*t[6])/2 - (77*t[7])/2 + 
       73*t[8] - (11*t[9])/2 - (45*t[11])/2 + (7*t[13])/2 + (43*t[14])/3 - 
       (65*t[15])/12 - 8*t[23] - (9*t[29])/2 - 25*t[30] - 5*t[32] + 6*t[33] - 
       (61*t[44])/2 + (27*t[48])/2 - (67*t[50])/2 + (67*t[52])/2 + 
       (45*t[54])/2 - (25*t[59])/6 + 62*t[60] - (75*t[61])/2 + (63*t[62])/4 - 
       (415*t[63])/4 + (21*t[64])/4 - t[65]/6 - (163*t[66])/6 - 6*t[76] + 
       (37*t[84])/2 + (37*t[85])/2 - 20*t[87] - 13*t[88] + (89*t[89])/2) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w]*(72*t[1] - 48*t[3] + 96*t[4] + 
       318*t[5] + 48*t[6] + 50*t[7] + 142*t[8] + 17*t[9] + 144*t[10] - 
       303*t[12] + (11*t[13])/3 + 80*t[14] + (253*t[15])/3 - 48*t[38] + 
       33*t[40] + 96*t[53] + 480*t[60] + 96*t[61] - 192*t[62] - 192*t[63] - 
       144*t[64] - 182*t[65] + (388*t[66])/3 + 48*t[77] + 48*t[84] - 
       96*t[87] - 48*t[88] + 48*t[89]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*(6*t[2] - 15*t[3] - 35*t[5] + 
       (139*t[6])/2 - (105*t[7])/2 + 220*t[8] + (27*t[9])/2 - (139*t[11])/2 - 
       (19*t[13])/2 + (82*t[14])/3 - 3*t[15] + 24*t[29] - (25*t[30])/2 + 
       (5*t[32])/2 - (3*t[33])/2 + 4*t[34] + 3*t[40] - 42*t[44] + 38*t[48] - 
       (71*t[50])/2 + (71*t[52])/2 + (139*t[54])/2 - 2*t[59] + 18*t[60] - 
       (43*t[61])/2 + (233*t[62])/4 - (259*t[63])/4 + (119*t[64])/4 + 
       (343*t[65])/6 + (175*t[66])/2 - 6*t[76] + (37*t[84])/2 + 
       (37*t[85])/2 - 20*t[87] - 13*t[88] + 69*t[89]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*((5*t[3])/2 - 20*t[5] + 
       (615*t[6])/8 - (205*t[7])/2 + 280*t[8] - (105*t[9])/4 - 
       (615*t[11])/8 - (25*t[13])/4 + (75*t[14])/8 - (745*t[15])/72 + 
       35*t[29] - 25*t[30] - (125*t[44])/2 + (545*t[48])/8 - (455*t[50])/8 + 
       (455*t[52])/8 + (615*t[54])/8 + (25*t[60])/4 - (205*t[61])/4 + 
       (735*t[62])/8 - (695*t[63])/8 + (615*t[64])/8 + (255*t[65])/4 + 
       (405*t[66])/4 + (45*t[84])/4 + (45*t[85])/4 - (115*t[87])/4 - 
       (115*t[88])/8 + (615*t[89])/8) + HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w]*
      (152*t[1] - 80*t[3] + 160*t[4] + 640*t[5] + 80*t[6] + 80*t[7] + 
       240*t[8] + 240*t[10] - 608*t[12] - (40*t[13])/3 + (400*t[14])/3 + 
       160*t[15] - 80*t[38] + 80*t[40] + 160*t[53] + 928*t[60] + 160*t[61] - 
       320*t[62] - 320*t[63] - 240*t[64] - (1216*t[65])/3 + (880*t[66])/3 + 
       80*t[77] + 80*t[84] - 160*t[87] - 80*t[88] + 80*t[89]) + 
     D25[v, u, w]*(3*t[2] - t[3] + (5*t[5])/4 - (5*t[6])/4 - (17*t[8])/2 + 
       (15*t[9])/4 + (3*t[10])/2 - (23*t[11])/4 + (13*t[12])/4 - 2*t[13] - 
       (2*t[14])/3 - (9*t[15])/8 + t[17] - 2*t[24] - 2*t[33] + 2*t[39] - 
       t[48]/4 + (7*t[50])/4 - (7*t[52])/4 - (7*t[54])/4 - (3*t[60])/2 - 
       t[62]/4 + (13*t[63])/4 + (5*t[66])/3 - t[68] + t[81] - t[82] - 
       (3*t[85])/2 + (3*t[87])/2 + (3*t[88])/4 + t[90]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - w]*((5*t[1])/2 - (25*t[2])/4 + 
       (27*t[3])/4 + (155*t[4])/8 + (7*t[5])/4 + (261*t[6])/16 - 
       (145*t[7])/4 + (97*t[8])/2 - (221*t[9])/8 + (79*t[10])/16 - 
       (9*t[11])/16 - (65*t[12])/16 + (271*t[13])/24 + (341*t[14])/32 - 
       (191*t[15])/24 + (2*t[19])/3 + t[23] - (5*t[26])/2 + (19*t[29])/4 + 
       9*t[30] - t[32] - 5*t[34] - 2*t[36] - (23*t[37])/4 + (5*t[38])/2 - 
       (11*t[39])/4 + (5*t[40])/2 - (13*t[44])/4 - t[47]/2 + (275*t[48])/16 - 
       (59*t[49])/16 - (185*t[50])/16 - (65*t[51])/32 + (185*t[52])/16 + 
       (19*t[53])/16 + (91*t[54])/16 - (5*t[59])/4 - (21*t[60])/8 - 
       (37*t[61])/8 - (451*t[62])/16 - (293*t[63])/16 + (629*t[64])/16 - 
       (101*t[65])/8 - (743*t[66])/24 + 2*t[74] + 3*t[76] + 6*t[78] + 
       2*t[81] + (3*t[82])/2 - (101*t[84])/8 - (69*t[85])/8 + (179*t[87])/8 + 
       (131*t[88])/16 + (129*t[89])/16 - 4*t[95]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*(-7*t[1] - 25*t[2] + 
       (179*t[3])/8 + (33*t[4])/4 + (493*t[5])/8 - (39*t[6])/8 - 85*t[7] + 
       (273*t[8])/2 + (135*t[9])/8 - (97*t[10])/4 - (229*t[11])/8 - 
       (597*t[12])/8 - (167*t[13])/9 - (97*t[14])/48 - (53*t[15])/36 - 
       2*t[16] + 3*t[17] + 4*t[19] - 12*t[20] + 2*t[21] + 12*t[22] - 
       2*t[23] + 12*t[24] + 3*t[25] - 25*t[26] - 6*t[27] - 4*t[28] + 
       (61*t[29])/2 - 46*t[30] - 8*t[31] - 9*t[32] + 5*t[33] - 18*t[34] - 
       8*t[35] + 7*t[36] - 7*t[37] - 7*t[38] - 7*t[40] - (17*t[43])/4 - 
       (161*t[44])/4 + (53*t[45])/2 + (9*t[46])/2 - 20*t[47] + 
       (319*t[48])/8 + (115*t[49])/4 - (357*t[50])/8 - (413*t[51])/16 + 
       (349*t[52])/8 - (103*t[53])/4 - (527*t[54])/8 - t[55] + 4*t[57] + 
       t[58] + (9*t[59])/2 - (49*t[60])/4 + (69*t[61])/4 + 3*t[62] + 
       (307*t[63])/4 + (701*t[64])/8 - (278*t[65])/3 + (31*t[66])/6 - 
       14*t[69] - 2*t[70] + 2*t[71] - 14*t[72] - 27*t[74] + 53*t[76] + 
       51*t[78] - 8*t[80] - 2*t[81] - 21*t[82] + 7*t[83] + (23*t[84])/2 - 
       19*t[85] - 55*t[87] - (67*t[88])/2 + (191*t[89])/4 + t[91]/3 - 
       2*t[95]) + D30[v, w, u]*t[95] + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-9*t[2])/4 + (675*t[3])/16 - 6*t[4] + 
       (117*t[5])/4 - (105*t[6])/4 + (387*t[7])/8 - (1521*t[8])/8 - 20*t[9] - 
       (15*t[10])/2 + (99*t[11])/4 + (27*t[12])/8 + (37*t[13])/16 - 
       (23*t[14])/8 + (7*t[15])/96 + 6*t[20] + 3*t[22] - (57*t[29])/4 + 
       (3*t[30])/2 + (3*t[32])/4 - (3*t[33])/2 - 9*t[34] + (429*t[44])/8 - 
       (93*t[48])/8 - (15*t[49])/4 + (207*t[50])/8 + (15*t[51])/8 - 
       (207*t[52])/8 + (15*t[53])/4 - (111*t[54])/4 - (3*t[59])/4 - 
       (231*t[60])/8 - (33*t[61])/8 - (81*t[62])/4 - (99*t[63])/4 - 
       (1317*t[64])/16 - (551*t[65])/24 - (145*t[66])/8 + 12*t[73] - 
       (15*t[74])/2 - 6*t[79] - (21*t[81])/4 + (21*t[82])/4 - 18*t[83] - 
       (81*t[84])/8 - 12*t[85] - 6*t[86] + (15*t[87])/4 + (15*t[88])/8 - 
       42*t[89] + 3*t[95]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-3*t[2])/8 + (339*t[3])/16 + (45*t[4])/8 - (9*t[5])/16 - 
       (51*t[6])/2 - (51*t[7])/8 - (63*t[8])/8 - (189*t[9])/16 + 
       (3*t[10])/16 + 39*t[11] + (3*t[12])/4 + (539*t[13])/48 - 
       (2737*t[14])/96 + (733*t[15])/48 - 6*t[18] - 24*t[20] + 6*t[22] + 
       24*t[28] - (21*t[29])/4 + (3*t[30])/2 - (81*t[32])/4 + (63*t[33])/2 - 
       (15*t[34])/2 - 24*t[35] + (117*t[44])/8 - (123*t[48])/8 - 
       (27*t[49])/16 + (81*t[50])/8 + (27*t[51])/32 - (81*t[52])/8 + 
       (27*t[53])/16 - (213*t[54])/8 + (7*t[59])/4 - (225*t[60])/4 + 
       (113*t[61])/4 - (261*t[62])/16 + (765*t[63])/16 + 66*t[64] + 
       (23*t[65])/8 - (977*t[66])/24 - (3*t[67])/4 + 18*t[69] - 6*t[70] + 
       5*t[71] + 12*t[73] + 3*t[74] - 6*t[79] - 15*t[83] - (51*t[84])/8 - 
       (87*t[85])/8 + 6*t[86] + (177*t[87])/8 + (177*t[88])/16 - 
       (573*t[89])/16 + 3*t[95]) + D26[u, w, v]*((7*t[4])/2 + 2*t[5] - 
       (7*t[6])/4 + 2*t[8] - (7*t[9])/2 + (7*t[10])/4 + (7*t[11])/4 - 
       (13*t[12])/4 - (15*t[14])/8 + t[15]/3 + (7*t[48])/4 + (5*t[49])/4 - 
       t[50]/4 - (5*t[51])/8 + t[52]/4 - (5*t[53])/4 - (5*t[54])/4 - 
       (11*t[60])/2 + (3*t[61])/2 - (3*t[62])/4 - (5*t[63])/4 + 
       (19*t[64])/4 - (37*t[65])/6 - (7*t[66])/6 - t[76] - t[78] - t[81] + 
       2*t[82] - t[84]/2 - (3*t[85])/2 + (7*t[87])/2 + (7*t[88])/4 + 
       t[89]/4 + 2*t[96]) + D34[w, u, v]*(t[1]/2 - 3*t[2] - (3*t[3])/2 - 
       3*t[4] + (11*t[5])/4 + (3*t[6])/8 + t[7] + 2*t[8] - t[9]/2 + t[10] + 
       (17*t[11])/8 + (9*t[12])/4 - (7*t[13])/12 + (21*t[14])/8 + 
       (11*t[15])/12 + t[23] + t[34] + t[48]/8 + t[49] - (15*t[50])/8 - 
       t[51]/2 + (7*t[52])/8 - t[53] - (5*t[54])/8 + t[59] + t[60]/4 + 
       (15*t[61])/4 - (33*t[62])/8 + (17*t[63])/8 + (61*t[64])/8 - 
       (73*t[65])/12 - (53*t[66])/12 - (21*t[84])/4 - (13*t[85])/4 + 
       (11*t[87])/4 + (7*t[88])/8 - (25*t[89])/8 + t[97]) + 
     D34[u, v, w]*(t[1]/2 - t[2]/2 - (13*t[3])/4 - 3*t[4] + (5*t[5])/4 + 
       (17*t[6])/8 - (5*t[7])/2 + (17*t[8])/2 + t[9]/2 + (9*t[10])/2 + 
       (27*t[11])/8 + (13*t[12])/4 - t[13]/2 + (43*t[14])/8 + (5*t[15])/8 + 
       t[32] - t[34] - 2*t[40] + t[41]/2 - t[42]/2 + (15*t[48])/8 - t[50]/8 + 
       (17*t[52])/8 - (7*t[54])/8 + t[59]/2 + (3*t[60])/4 + (31*t[61])/4 - 
       (59*t[62])/8 + (3*t[63])/8 + (35*t[64])/8 - (17*t[65])/12 - 
       (25*t[66])/12 + t[77] - (17*t[84])/4 - (13*t[85])/4 + (11*t[87])/4 + 
       (7*t[88])/8 - (19*t[89])/8 + t[97]) + D27[u, v, w]*
      ((7*t[60])/2 + 5*t[61] - 7*t[62] - 7*t[63] + (5*t[64])/4 + 
       (8*t[65])/3 - (11*t[66])/2 + (5*t[89])/4 + t[97]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((3*t[1])/2 - (3*t[2])/2 + t[3]/2 + (49*t[4])/2 - (25*t[5])/4 - 
       (29*t[6])/4 + 3*t[7] - 5*t[8] - t[9]/4 + (33*t[10])/4 + (61*t[11])/4 - 
       11*t[12] + (26*t[13])/3 + (127*t[14])/24 - (77*t[15])/24 + 9*t[38] + 
       9*t[40] + t[48]/4 + (15*t[49])/4 - (15*t[50])/4 + (13*t[51])/8 + 
       (7*t[52])/4 - (75*t[53])/4 - (15*t[54])/4 - (19*t[59])/2 - 
       (13*t[60])/2 + 22*t[61] + 4*t[62] + 40*t[63] + (23*t[64])/2 - 
       66*t[65] + t[66]/6 - 2*t[77] - 9*t[78] - 6*t[80] - 3*t[81] - 
       (37*t[84])/2 - 8*t[85] - 4*t[87] - 13*t[88] - t[89] + 6*t[96] + 
       t[97]) + HPL[{0, 1}, 1 - w]*Nt[u, v, w]*((-7*t[2])/24 + (65*t[3])/48 + 
       (13*t[4])/8 - (35*t[5])/16 - (107*t[6])/16 + (247*t[7])/24 - 
       (403*t[8])/24 + (111*t[9])/16 + (5*t[10])/48 + (373*t[11])/48 + 
       (47*t[12])/24 + (907*t[13])/432 + (775*t[14])/288 + (157*t[15])/432 - 
       t[20]/3 - t[24]/3 - t[27]/3 + (5*t[29])/12 + (3*t[30])/2 - 
       (5*t[32])/12 - (7*t[33])/6 + (2*t[34])/3 + t[37]/6 - t[38]/6 + 
       (7*t[39])/6 - (2*t[40])/3 + t[41]/12 - t[42]/12 + t[43]/12 + 
       (17*t[44])/8 - (3*t[45])/2 + 2*t[47] - (75*t[48])/16 + (67*t[49])/48 + 
       (155*t[50])/48 - (25*t[51])/32 - (155*t[52])/48 - (35*t[53])/48 - 
       (295*t[54])/48 - t[59]/12 - (77*t[60])/12 + (163*t[61])/24 - 
       (281*t[62])/48 + (785*t[63])/48 - (11*t[64])/16 - (59*t[65])/12 - 
       (151*t[66])/18 - t[70]/3 + t[71]/3 - t[74]/2 + (17*t[76])/6 + 
       t[77]/6 - (10*t[78])/3 + 2*t[80] + (23*t[81])/12 - (5*t[82])/12 + 
       (2*t[83])/3 - (15*t[84])/4 - (31*t[85])/24 - t[86] - (91*t[87])/24 - 
       (57*t[88])/16 - (23*t[89])/4 + t[95] + (4*t[96])/3 + t[97]/2 + 
       16*t[98] - 18*t[99]) + HPL[{0, 1}, 1 - u]*Nt[u, v, w]*
      ((-43*t[2])/24 + (343*t[3])/48 + (7*t[4])/24 + (179*t[5])/48 - 
       (131*t[6])/48 - (107*t[7])/24 - (97*t[8])/24 - (227*t[9])/48 + 
       (101*t[10])/48 + (103*t[11])/48 + (13*t[12])/8 + (665*t[13])/432 - 
       (685*t[14])/288 - (343*t[15])/216 + t[24]/3 - t[27]/3 - 
       (13*t[29])/12 + t[30]/6 - (25*t[32])/12 + (5*t[33])/6 + t[37]/6 - 
       t[38]/6 + (7*t[39])/6 - (7*t[40])/6 + t[41]/12 - t[42]/12 + t[43]/12 + 
       (13*t[44])/24 - (7*t[45])/6 + t[47] - (9*t[48])/16 + (17*t[49])/16 - 
       (61*t[50])/16 - (59*t[51])/96 + (199*t[52])/48 - (19*t[53])/48 - 
       (35*t[54])/16 + (5*t[59])/12 - (31*t[60])/6 - (113*t[61])/24 - 
       (37*t[62])/48 + (53*t[63])/48 + (395*t[64])/48 - (151*t[65])/36 - 
       (91*t[66])/18 - t[70]/3 + t[71]/3 + (2*t[72])/3 - t[74]/2 + 
       (19*t[76])/6 - t[77]/6 - (13*t[78])/3 + (2*t[80])/3 + (5*t[81])/4 - 
       t[82]/12 + (2*t[83])/3 - (49*t[84])/12 - (47*t[85])/24 - t[86] - 
       (67*t[87])/24 - (49*t[88])/16 - (55*t[89])/24 + t[95] + (4*t[96])/3 + 
       t[97]/2 + 16*t[98] - 18*t[99]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v]*((57*t[2])/2 - 51*t[3] + (171*t[4])/4 - 
       (27*t[5])/2 - (3*t[6])/2 - 3*t[7] + (117*t[8])/2 + (33*t[9])/4 + 
       (45*t[10])/8 + (45*t[11])/2 - (237*t[12])/8 + (209*t[13])/24 - 
       (21*t[14])/16 + 2*t[15] + 3*t[28] + 12*t[29] + 15*t[30] - 6*t[31] + 
       15*t[32] - 15*t[33] + 3*t[35] - 3*t[36] + 6*t[37] + 3*t[38] - 
       6*t[39] + 15*t[40] - 18*t[44] + 21*t[45] + (3*t[46])/2 - 15*t[47] + 
       (45*t[48])/2 - (21*t[49])/8 + 6*t[50] + (63*t[51])/16 - 24*t[52] + 
       (21*t[53])/8 + (39*t[54])/4 - (15*t[59])/2 + (21*t[60])/2 + 60*t[61] - 
       (381*t[62])/8 - (567*t[63])/8 + (105*t[64])/2 + (51*t[65])/2 - 
       15*t[66] + 9*t[72] + 3*t[74] + 6*t[75] - 24*t[76] + 3*t[77] + 
       51*t[78] - 12*t[79] - 30*t[80] + (9*t[81])/2 - (39*t[82])/2 + 
       6*t[83] + (87*t[84])/4 - 24*t[85] + 36*t[86] + (135*t[87])/2 + 
       (135*t[88])/4 + 45*t[89] - 3*t[97] - 144*t[98] + 144*t[99]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w]*(-54*t[1] + 2574*t[2] - 5394*t[3] - 
       768*t[4] - 105*t[5] + (9669*t[6])/2 - 5118*t[7] + 9588*t[8] + 
       1200*t[9] - 348*t[10] - (801*t[11])/2 - 1893*t[12] + 451*t[13] + 
       (7617*t[14])/2 + 374*t[15] + 144*t[17] + 1296*t[24] + 144*t[27] - 
       72*t[29] - 888*t[30] + 816*t[32] + 264*t[33] + 36*t[34] + 432*t[36] - 
       180*t[38] + 468*t[39] - 1044*t[40] - 18*t[41] + 18*t[42] - 288*t[43] - 
       780*t[44] + 2112*t[45] + 72*t[46] - 3456*t[47] + (3579*t[48])/2 - 
       54*t[49] - (4377*t[50])/2 - 117*t[51] + (6609*t[52])/2 - 90*t[53] + 
       (8373*t[54])/2 + 90*t[59] + 5847*t[60] + 7981*t[61] - (8155*t[62])/2 - 
       (1293*t[63])/2 + (9645*t[64])/2 - 7143*t[65] - 8587*t[66] - 
       288*t[68] + 288*t[70] - 288*t[71] + 3696*t[74] + 2316*t[76] + 
       216*t[77] - 3132*t[78] - 720*t[80] + 48*t[81] - 912*t[82] + 
       1323*t[84] + 279*t[85] - 1152*t[86] - 2439*t[87] + (225*t[88])/2 - 
       (4731*t[89])/2 - 12*t[91] - 288*t[95] - 504*t[96] + 108*t[97] - 
       1728*t[98] + 5184*t[99] - 12096*t[100]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u]*(270*t[1] - 144*t[2] - 1173*t[3] - 
       1200*t[4] - 5259*t[5] + (3759*t[6])/2 + 4284*t[7] + 7290*t[8] + 
       1634*t[9] + 936*t[10] + (2709*t[11])/2 + 2079*t[12] - 2430*t[13] + 
       (7063*t[14])/2 + (4639*t[15])/2 - 504*t[17] - 12*t[29] + 696*t[30] + 
       1080*t[32] - 432*t[33] - 468*t[34] - 432*t[36] - 576*t[37] + 
       144*t[38] - 168*t[39] - 36*t[40] + 18*t[41] - 18*t[42] + 918*t[44] - 
       1608*t[45] + 2376*t[47] + (765*t[48])/2 - 1182*t[49] + (129*t[50])/2 + 
       663*t[51] - (57*t[52])/2 + 1470*t[53] + (7263*t[54])/2 + 72*t[55] - 
       72*t[59] + 3981*t[60] + 12309*t[61] - (14427*t[62])/2 + 
       (3051*t[63])/2 - (7731*t[64])/2 + 1789*t[65] + 5233*t[66] + 
       1008*t[68] + 288*t[70] - 288*t[71] + 144*t[74] - 2052*t[76] + 
       288*t[77] + 2376*t[78] + 1224*t[80] - 948*t[81] + 768*t[82] + 
       651*t[84] - 2697*t[85] + 1305*t[87] + (3969*t[88])/2 - 
       (2721*t[89])/2 + 12*t[91] - 288*t[95] + 144*t[96] + 432*t[97] - 
       1728*t[98] + 5184*t[99] - 12096*t[100]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w]*(-18*t[1] + 923*t[2] - 1784*t[3] - 
       256*t[4] + 19*t[5] + 1612*t[6] - 1708*t[7] + 3062*t[8] + 382*t[9] - 
       116*t[10] - 86*t[11] - 655*t[12] + (967*t[13])/6 + 1249*t[14] + 
       (629*t[15])/6 + 48*t[17] - 4*t[23] + 432*t[24] + 48*t[27] - 12*t[29] - 
       279*t[30] + 255*t[32] + 105*t[33] + 9*t[34] + 144*t[36] - 60*t[38] + 
       156*t[39] - 348*t[40] - 6*t[41] + 6*t[42] - 96*t[43] - 243*t[44] + 
       704*t[45] + 24*t[46] - 1152*t[47] + 587*t[48] - 18*t[49] - 727*t[50] - 
       39*t[51] + 1099*t[52] - 30*t[53] + 1396*t[54] + 24*t[59] + 
       1934*t[60] + 2786*t[61] - (2859*t[62])/2 - (555*t[63])/2 + 
       (3321*t[64])/2 - 2498*t[65] - (8954*t[66])/3 - 96*t[68] + 96*t[70] - 
       96*t[71] + 1296*t[74] + 772*t[76] + 72*t[77] - 1044*t[78] - 
       240*t[80] + 16*t[81] - 304*t[82] + 434*t[84] + 86*t[85] - 384*t[86] - 
       801*t[87] + 45*t[88] - 836*t[89] - 4*t[91] - 96*t[95] - 168*t[96] + 
       36*t[97] - 576*t[98] + 1728*t[99] - 4032*t[100]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u]*(90*t[1] - 48*t[2] - 398*t[3] - 
       448*t[4] - 1817*t[5] + 629*t[6] + 1416*t[7] + 2550*t[8] + 501*t[9] + 
       336*t[10] + 401*t[11] + 717*t[12] - 871*t[13] + (3578*t[14])/3 + 
       (1659*t[15])/2 - 168*t[17] - 21*t[29] + 249*t[30] + 360*t[32] - 
       144*t[33] - 156*t[34] - 144*t[36] - 192*t[37] + 48*t[38] - 56*t[39] - 
       12*t[40] + 6*t[41] - 6*t[42] + 291*t[44] - 536*t[45] + 792*t[47] + 
       120*t[48] - 418*t[49] + 19*t[50] + 233*t[51] - 7*t[52] + 514*t[53] + 
       1261*t[54] + 24*t[55] - 24*t[59] + 1267*t[60] + 4131*t[61] - 
       (4823*t[62])/2 + (1273*t[63])/2 - (2615*t[64])/2 + (1969*t[65])/3 + 
       1976*t[66] + 336*t[68] + 96*t[70] - 96*t[71] + 48*t[74] - 684*t[76] + 
       96*t[77] + 792*t[78] + 408*t[80] - 348*t[81] + 288*t[82] + 210*t[84] - 
       954*t[85] + 495*t[87] + 693*t[88] - 475*t[89] + 4*t[91] - 96*t[95] + 
       48*t[96] + 144*t[97] - 576*t[98] + 1728*t[99] - 4032*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w]*(-9*t[1] + 352*t[2] - (6209*t[3])/8 + 
       (19*t[4])/4 - 79*t[5] + (5099*t[6])/8 - (2159*t[7])/4 + 
       (4729*t[8])/4 + (1271*t[9])/4 - (635*t[10])/8 + (631*t[11])/8 - 
       (2617*t[12])/8 + (3931*t[13])/24 + (10119*t[14])/16 + 
       (3619*t[15])/48 + (45*t[17])/2 + 2*t[23] + 222*t[24] + 24*t[27] - 
       (21*t[29])/2 - 174*t[30] + (135*t[32])/2 + 57*t[33] + 21*t[34] + 
       72*t[36] - 3*t[37] - 27*t[38] + 57*t[39] - 129*t[40] + (7*t[41])/2 - 
       (7*t[42])/2 - (99*t[43])/2 - (579*t[44])/4 + 268*t[45] + 12*t[46] - 
       429*t[47] + (1811*t[48])/8 + (99*t[49])/8 - (2329*t[50])/8 - 
       (459*t[51])/16 + (3481*t[52])/8 - (195*t[53])/8 + (4345*t[54])/8 + 
       15*t[59] + (3529*t[60])/4 + (5387*t[61])/4 - (2621*t[62])/4 + 
       (591*t[63])/4 + (4119*t[64])/8 - (2381*t[65])/2 - (4567*t[66])/3 - 
       45*t[68] + 30*t[70] - 30*t[71] + 543*t[74] + 308*t[76] + 9*t[77] - 
       372*t[78] - 114*t[80] + 23*t[81] - 152*t[82] + 193*t[84] + 43*t[85] - 
       198*t[86] - (1005*t[87])/2 - (453*t[88])/4 - (1567*t[89])/4 - 
       2*t[91] - 30*t[95] - 48*t[96] + 18*t[97] - 72*t[98] + 684*t[99] - 
       2214*t[100]) + HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u]*
      (36*t[1] - (51*t[2])/2 - (143*t[3])/8 - (347*t[4])/4 - (2983*t[5])/4 + 
       (1937*t[6])/8 + (2565*t[7])/4 + (3813*t[8])/4 + (467*t[9])/2 + 
       (627*t[10])/8 + (3125*t[11])/8 + (2307*t[12])/8 - (7415*t[13])/24 + 
       (27187*t[14])/48 + (16247*t[15])/48 - (171*t[17])/2 + 6*t[24] + 
       (39*t[29])/2 + 60*t[30] + (237*t[32])/2 - 66*t[33] - 54*t[34] - 
       72*t[36] - 99*t[37] + 18*t[38] - 4*t[39] - 19*t[40] + (27*t[41])/2 - 
       (27*t[42])/2 - (3*t[43])/2 + (591*t[44])/4 - 229*t[45] + 288*t[47] + 
       (33*t[48])/8 - (1159*t[49])/8 + (181*t[50])/8 + (1303*t[51])/16 - 
       (181*t[52])/8 + (1543*t[53])/8 + (3355*t[54])/8 + 12*t[55] - 
       (9*t[59])/2 + (2669*t[60])/4 + (7569*t[61])/4 - 1004*t[62] + 
       (329*t[63])/2 - (5887*t[64])/8 + (563*t[65])/3 + (1297*t[66])/2 + 
       171*t[68] + 30*t[70] - 30*t[71] + 15*t[74] - 279*t[76] + 29*t[77] + 
       300*t[78] + 216*t[80] - 96*t[81] + 39*t[82] + (189*t[84])/2 - 
       (693*t[85])/2 - 6*t[86] + 33*t[87] + (309*t[88])/2 - (1151*t[89])/4 + 
       2*t[91] - 30*t[95] + 42*t[96] + 63*t[97] - 72*t[98] + 684*t[99] - 
       2214*t[100]) + HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w]*
      (-9*t[1] + 417*t[2] - (3231*t[3])/4 - (79*t[4])/2 - (45*t[5])/2 + 
       (1393*t[6])/2 - (1291*t[7])/2 + (2463*t[8])/2 + (533*t[9])/2 - 
       (289*t[10])/4 + 62*t[11] - (1357*t[12])/4 + (5141*t[13])/36 + 
       (14869*t[14])/24 + (4259*t[15])/72 + 23*t[17] + 220*t[24] + 24*t[27] - 
       3*t[29] - 154*t[30] + 79*t[32] + 64*t[33] + 14*t[34] + 72*t[36] - 
       2*t[37] - 28*t[38] + 64*t[39] - 144*t[40] - 49*t[43] - (257*t[44])/2 + 
       296*t[45] + 12*t[46] - 478*t[47] + 244*t[48] + (21*t[49])/4 - 
       314*t[50] - (205*t[51])/8 + 472*t[52] - (85*t[53])/4 + 595*t[54] + 
       11*t[59] + 903*t[60] + 1425*t[61] - (2841*t[62])/4 + (85*t[63])/4 + 
       (1293*t[64])/2 - (7627*t[65])/6 - (9473*t[66])/6 - 46*t[68] + 
       36*t[70] - 36*t[71] + 610*t[74] + 334*t[76] + 18*t[77] - 422*t[78] - 
       116*t[80] + 18*t[81] - 152*t[82] + (395*t[84])/2 + (79*t[85])/2 - 
       196*t[86] - (925*t[87])/2 - (257*t[88])/4 - (1697*t[89])/4 - 2*t[91] - 
       36*t[95] - 60*t[96] + 18*t[97] - 144*t[98] + 744*t[99] - 
       2148*t[100]) + HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u]*
      (39*t[1] - 25*t[2] - (327*t[3])/4 - (313*t[4])/2 - 832*t[5] + 
       (535*t[6])/2 + (1315*t[7])/2 + (2241*t[8])/2 + 220*t[9] + 
       (481*t[10])/4 + 302*t[11] + (1295*t[12])/4 - (13739*t[13])/36 + 
       (4673*t[14])/8 + (28229*t[15])/72 - 85*t[17] + 4*t[24] + t[29] + 
       90*t[30] + 139*t[32] - 68*t[33] - 62*t[34] - 72*t[36] - 98*t[37] + 
       20*t[38] - 12*t[39] - 12*t[40] + 10*t[41] - 10*t[42] - t[43] + 
       (279*t[44])/2 - 242*t[45] + 324*t[47] + 19*t[48] - (713*t[49])/4 + 
       17*t[50] + (793*t[51])/8 - 15*t[52] + (905*t[53])/4 + 515*t[54] + 
       12*t[55] - 7*t[59] + 626*t[60] + 1964*t[61] - (4299*t[62])/4 + 
       (1119*t[63])/4 - 718*t[64] + (529*t[65])/2 + (1755*t[66])/2 + 
       170*t[68] + 36*t[70] - 36*t[71] + 18*t[74] - 300*t[76] + 38*t[77] + 
       332*t[78] + 212*t[80] - 138*t[81] + 90*t[82] + (189*t[84])/2 - 
       (835*t[85])/2 - 4*t[86] + (269*t[87])/2 + (937*t[88])/4 - 
       (1127*t[89])/4 + 2*t[91] - 36*t[95] + 36*t[96] + 66*t[97] - 
       144*t[98] + 744*t[99] - 2148*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*((51*t[1])/4 + (35*t[2])/2 + 
       (1133*t[3])/8 + (4583*t[4])/24 - (1161*t[5])/8 + (1499*t[6])/48 - 
       (1085*t[7])/4 - (1507*t[8])/4 - (311*t[9])/2 - (12007*t[10])/48 - 
       (3091*t[11])/48 - (11525*t[12])/48 + (433*t[13])/36 - 
       (93071*t[14])/288 - (3133*t[15])/24 + 2*t[19] + 33*t[20] - 5*t[21] + 
       3*t[22] + 5*t[23] + 3*t[24] - 22*t[25] - 16*t[26] + 33*t[27] - 
       117*t[28] - 52*t[29] + (107*t[30])/2 - 6*t[31] - 5*t[32] + 
       (53*t[33])/2 - (113*t[34])/2 + 27*t[35] - 109*t[36] - 21*t[37] + 
       (101*t[38])/2 - 22*t[39] + 29*t[40] - (69*t[41])/4 + (69*t[42])/4 - 
       18*t[43] + 116*t[44] + 128*t[45] + 64*t[46] - 174*t[47] + 
       (11*t[48])/16 - (3089*t[49])/48 + (1555*t[50])/16 + (685*t[51])/96 - 
       (2123*t[52])/16 + (3233*t[53])/48 + (3857*t[54])/48 + t[55] - 
       5*t[58] - 60*t[59] - (947*t[60])/6 - 149*t[61] + (1699*t[62])/4 - 
       (1135*t[63])/12 - (5129*t[64])/12 - (2521*t[65])/36 - 
       (10307*t[66])/36 + 30*t[68] - 15*t[69] + 3*t[70] - 3*t[71] - 
       27*t[72] + 24*t[73] - t[74] - 76*t[75] - 129*t[76] + 22*t[77] + 
       93*t[78] + 182*t[79] - 224*t[80] + 59*t[81] - 57*t[82] + 291*t[83] + 
       (2065*t[84])/12 + (3637*t[85])/12 - 161*t[86] + (191*t[87])/12 - 
       (1109*t[88])/24 + (713*t[89])/12 - 32*t[95] - 66*t[96] - 72*t[97] - 
       492*t[98] + 852*t[99] - 1107*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*((55*t[1])/4 + 53*t[2] - (301*t[3])/8 - 
       (879*t[4])/4 + (2627*t[5])/48 - (8695*t[6])/48 + (2489*t[7])/8 - 
       (1625*t[8])/8 - (5513*t[9])/48 - (4149*t[10])/8 + (17645*t[11])/48 - 
       (5123*t[12])/48 + (7699*t[13])/24 - (4681*t[14])/72 + 
       (15037*t[15])/96 + 11*t[18] + 6*t[19] - 24*t[20] + 10*t[21] - 
       48*t[22] - 13*t[23] - 8*t[24] - 2*t[25] - 18*t[26] + 35*t[27] - 
       52*t[28] - (133*t[29])/2 + 5*t[30] + 9*t[31] - t[32]/6 - 4*t[33] - 
       (65*t[34])/2 - 66*t[35] + 58*t[36] - 36*t[37] + (69*t[38])/2 - 
       55*t[39] + (260*t[40])/3 + (43*t[41])/4 - (5*t[42])/4 + 
       (211*t[43])/4 + 193*t[44] + (157*t[45])/2 + 10*t[46] - 40*t[47] - 
       (3431*t[48])/16 - (523*t[49])/4 + (3041*t[50])/16 + (599*t[51])/8 - 
       (4553*t[52])/16 + (283*t[53])/4 - (357*t[54])/16 + 3*t[58] - 
       39*t[59] + (13423*t[60])/24 + (20239*t[61])/24 - (5211*t[62])/16 + 
       (2401*t[63])/48 + (10447*t[64])/48 + (5197*t[65])/8 - 
       (22651*t[66])/24 - 12*t[68] - 21*t[69] - 13*t[70] + 13*t[71] - 
       75*t[72] + 48*t[73] - 30*t[74] - 150*t[75] - 70*t[76] - 33*t[77] + 
       153*t[78] + 60*t[79] + 362*t[80] + 55*t[81] + 22*t[82] + 51*t[83] + 
       (2517*t[84])/8 + (1489*t[85])/8 + 332*t[86] + (845*t[87])/8 + 
       (1205*t[88])/16 + (1235*t[89])/16 - 48*t[95] - 94*t[96] - 62*t[97] - 
       492*t[98] + 852*t[99] - 1107*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*((39*t[1])/8 - (713*t[2])/8 + 286*t[3] - 
       (1881*t[4])/8 - (1837*t[5])/16 + (837*t[6])/16 + (2125*t[7])/4 - 
       (287*t[8])/8 + (781*t[9])/16 - (1535*t[10])/16 + (2569*t[11])/16 + 
       (1995*t[12])/8 - (29317*t[13])/144 + (29935*t[14])/96 + 
       (54745*t[15])/288 - (111*t[17])/4 + 52*t[20] - 72*t[22] - 35*t[24] - 
       (91*t[27])/2 + (23*t[29])/2 - 54*t[30] - (115*t[32])/4 - 
       (83*t[33])/2 - (101*t[34])/4 + 30*t[36] - 38*t[37] - (23*t[38])/2 + 
       64*t[39] - (183*t[40])/4 + (115*t[41])/8 - (115*t[42])/8 - t[43] - 
       (99*t[44])/4 - (819*t[45])/4 - (135*t[46])/4 + (909*t[47])/4 + 
       (405*t[48])/16 - (403*t[49])/16 + (1057*t[50])/16 + (837*t[51])/32 - 
       (565*t[52])/16 + (1043*t[53])/16 + (1057*t[54])/16 - 3*t[55] - 
       6*t[56] + (199*t[59])/4 - (4193*t[60])/8 + (4223*t[61])/4 - 
       (5295*t[62])/8 + (7239*t[63])/8 - (485*t[64])/8 + (9701*t[65])/24 + 
       (1757*t[66])/3 + (135*t[68])/2 - 8*t[70] + 8*t[71] + 72*t[72] - 
       66*t[73] - 69*t[74] + 66*t[75] - (583*t[76])/4 - (27*t[77])/2 + 
       229*t[78] - 84*t[79] + (393*t[80])/2 - 8*t[81] + (217*t[82])/2 + 
       76*t[83] - (1515*t[84])/8 - (1669*t[85])/4 + 156*t[86] + 20*t[87] - 
       (33*t[88])/2 - (3469*t[89])/8 + t[91] + 6*t[93] + 42*t[95] + 
       53*t[96] + 42*t[97] + 60*t[98] + 252*t[99] - 1029*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w]*((57*t[1])/8 + 37*t[2] - 
       (203*t[3])/8 + (1825*t[4])/8 + (2923*t[5])/16 - (1005*t[6])/16 - 
       (1207*t[7])/8 + (455*t[8])/4 - (709*t[9])/16 + (1979*t[10])/16 + 
       (10161*t[11])/16 - (565*t[12])/8 + (28975*t[13])/144 + 
       (21593*t[14])/96 - (2885*t[15])/288 + 9*t[17] + 12*t[18] + 12*t[19] + 
       60*t[20] - 12*t[21] - 72*t[22] + 2*t[23] + (151*t[24])/2 - 38*t[27] - 
       30*t[28] - (49*t[29])/2 + 4*t[30] - (215*t[32])/4 + 29*t[33] + 
       (123*t[34])/4 + 84*t[35] - 30*t[36] - 2*t[37] - (37*t[38])/4 + 
       (145*t[39])/4 - (115*t[40])/4 + (89*t[41])/8 - (41*t[42])/8 - 
       19*t[43] - (485*t[44])/4 + 116*t[45] - 21*t[46] - (381*t[47])/2 + 
       (339*t[48])/16 + (2825*t[49])/16 - (1425*t[50])/16 - (2133*t[51])/32 + 
       (2021*t[52])/16 - (2137*t[53])/16 - (2293*t[54])/16 - (3*t[55])/4 - 
       6*t[56] - (165*t[59])/8 + (591*t[60])/8 + (2401*t[61])/2 - 774*t[62] + 
       (2237*t[63])/4 + (2303*t[64])/4 - (11729*t[65])/12 - (12101*t[66])/8 - 
       33*t[68] - 12*t[69] - 20*t[70] + 20*t[71] + 40*t[72] - 48*t[73] + 
       123*t[74] + 48*t[75] + (347*t[76])/2 - 16*t[77] - (433*t[78])/2 - 
       24*t[79] + 142*t[80] + (111*t[81])/2 - (187*t[82])/2 + 52*t[83] - 
       (797*t[84])/4 - 304*t[85] - 24*t[86] - (1403*t[87])/4 - 
       (1615*t[88])/8 - 533*t[89] - 3*t[90] - t[91] + 6*t[93] + 42*t[95] + 
       (145*t[96])/2 + (177*t[97])/4 + 60*t[98] + 252*t[99] - 1029*t[100]) + 
     HPL[{0, 1}, 1 - u]*Qep[u, w, v]*((32*t[1])/3 + (848*t[2])/9 - 
       (5446*t[3])/9 + (784*t[4])/9 - (3596*t[5])/9 + (2993*t[6])/9 + 
       (1996*t[7])/9 + (6728*t[8])/9 + (4634*t[9])/9 - (56*t[10])/9 + 
       (359*t[11])/9 + 12*t[12] + (346*t[13])/81 + (10955*t[14])/27 + 
       (3578*t[15])/81 - (256*t[24])/9 + (64*t[27])/9 + (32*t[28])/3 + 
       (232*t[29])/9 - (224*t[30])/9 - (64*t[31])/3 + (1528*t[32])/9 - 
       (640*t[33])/9 - (160*t[34])/3 - (64*t[35])/3 + 32*t[36] + 
       (64*t[37])/9 + (128*t[38])/9 + (64*t[39])/9 - (16*t[40])/9 + 
       (32*t[41])/9 - (32*t[42])/9 - (64*t[43])/9 + (268*t[44])/9 + 
       (1088*t[45])/9 + (32*t[46])/3 - (256*t[47])/3 + (545*t[48])/3 - 
       (280*t[49])/3 + 31*t[50] + (388*t[51])/9 - (535*t[52])/9 + 
       (712*t[53])/9 + (971*t[54])/3 + (16*t[59])/9 + (7934*t[60])/9 + 
       (7726*t[61])/9 - (3299*t[62])/9 - (6821*t[63])/9 - (3929*t[64])/9 + 
       (5686*t[65])/27 - (9886*t[66])/27 + (256*t[70])/9 - (256*t[71])/9 - 
       (128*t[72])/9 + (128*t[73])/3 + (32*t[74])/3 - (128*t[75])/3 - 
       (608*t[76])/9 + (128*t[77])/9 + (2080*t[78])/9 - (1280*t[80])/9 + 
       (176*t[81])/3 - (1040*t[82])/9 - (416*t[83])/9 + (2998*t[84])/9 + 
       (142*t[85])/9 + 64*t[86] + (1130*t[87])/9 + 205*t[88] + 
       (2897*t[89])/9 - (256*t[95])/3 - (448*t[96])/9 - (1792*t[98])/3 + 
       768*t[99] - 896*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 
       1 - w]*((-45*t[1])/4 + (325*t[2])/4 - (549*t[3])/8 - (2619*t[4])/8 - 
       (2595*t[5])/16 - (1645*t[6])/16 + 333*t[7] + (1329*t[8])/8 + 
       (8019*t[9])/16 - (10527*t[10])/16 - (1599*t[11])/16 + (309*t[12])/2 - 
       (97*t[13])/2 + (905*t[14])/96 - (697*t[15])/32 + (9*t[17])/4 + 
       6*t[19] - 69*t[20] + 9*t[21] + 27*t[22] + 18*t[23] - (33*t[24])/2 + 
       30*t[27] - 78*t[28] - 33*t[29] + (165*t[30])/2 - 12*t[31] + 51*t[32] - 
       (321*t[33])/2 + 81*t[34] + 72*t[35] + 36*t[36] + 6*t[37] - 6*t[38] + 
       (3*t[39])/2 + (153*t[40])/2 - (3*t[41])/2 + (3*t[42])/2 + 
       (93*t[43])/2 - 42*t[44] - 75*t[45] + 12*t[46] + (303*t[47])/2 - 
       (885*t[48])/16 - (1167*t[49])/16 + (1083*t[50])/16 + (831*t[51])/32 - 
       (2571*t[52])/16 + (975*t[53])/16 + (771*t[54])/16 + 3*t[55] + 
       6*t[56] + (7*t[59])/2 - (1275*t[60])/4 - (2383*t[61])/4 - 
       (1311*t[62])/8 - (2151*t[63])/8 + (7929*t[64])/8 + (6703*t[65])/24 + 
       (2667*t[66])/8 + (27*t[68])/2 - 24*t[69] - 54*t[70] + 54*t[71] - 
       24*t[72] - 18*t[73] + 12*t[74] - 198*t[75] + (213*t[76])/2 - 
       (141*t[77])/2 - 159*t[78] + 288*t[79] + 333*t[80] + (153*t[81])/4 + 
       (141*t[82])/4 + 369*t[83] - (75*t[84])/8 + (381*t[85])/2 + 
       1194*t[86] + 186*t[87] + 144*t[88] + (219*t[89])/8 - 12*t[93] - 
       42*t[96] - 18*t[97] + 684*t[98] - 888*t[99] - 876*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((9*t[1])/4 - (219*t[2])/4 - (441*t[3])/4 + (3681*t[4])/8 + 
       (1119*t[5])/16 + (3495*t[6])/16 - (1725*t[7])/4 + (1857*t[8])/8 - 
       (3537*t[9])/16 + (1533*t[10])/16 + (6915*t[11])/16 - (1635*t[12])/8 + 
       (4089*t[13])/8 + (8677*t[14])/32 + (2147*t[15])/96 - 6*t[20] - 
       3*t[22] - 24*t[23] - (57*t[27])/2 + 12*t[28] + (117*t[29])/2 + 
       (27*t[30])/2 + (111*t[32])/2 - (27*t[33])/2 - (123*t[34])/2 + 
       48*t[35] - 36*t[36] - 3*t[37] + (15*t[38])/2 - 36*t[39] + t[40]/4 + 
       (9*t[41])/4 - (9*t[42])/4 + (81*t[43])/8 - (15*t[44])/4 + 
       (117*t[45])/2 - (21*t[46])/4 - (213*t[47])/2 + (1095*t[48])/16 + 
       (1329*t[49])/16 - (1809*t[50])/16 - (903*t[51])/32 + (2073*t[52])/16 - 
       (1233*t[53])/16 - (1113*t[54])/16 + (9*t[59])/4 + (4161*t[60])/4 + 
       (933*t[61])/2 + (705*t[62])/4 - (2703*t[63])/4 - (3375*t[64])/4 - 
       (910*t[65])/3 - (4335*t[66])/4 - 18*t[68] + 12*t[72] + 12*t[73] - 
       24*t[74] + 60*t[75] + (267*t[76])/2 + 98*t[77] - (27*t[78])/2 - 
       108*t[79] - 54*t[80] + 159*t[81] - 294*t[82] - 246*t[83] + 
       (1005*t[84])/4 + (663*t[85])/4 - (1653*t[86])/2 - (1467*t[87])/4 - 
       (1059*t[88])/8 + (2631*t[89])/8 + 9*t[96] - (9*t[97])/2 + 684*t[98] - 
       888*t[99] - 876*t[100]) + HPL[{0, 1}, 1 - w]*Qep[u, w, v]*
      (32*t[1] + (920*t[2])/9 - (2408*t[3])/9 + (224*t[4])/3 - (280*t[5])/3 + 
       (776*t[6])/3 - (392*t[7])/9 + (5744*t[8])/9 + (304*t[10])/9 + 
       (8*t[11])/9 - (1288*t[12])/9 - (2392*t[13])/81 + (4072*t[14])/27 + 
       (2048*t[15])/81 + (64*t[20])/9 + (64*t[24])/9 + (64*t[27])/9 - 
       (224*t[29])/9 - (64*t[30])/3 - (64*t[31])/3 + (824*t[32])/9 + 
       (128*t[33])/9 - (512*t[34])/9 - 32*t[36] - (320*t[37])/9 + 
       (128*t[38])/9 - (32*t[39])/9 + (80*t[40])/9 + (32*t[41])/9 - 
       (32*t[42])/9 - (64*t[43])/9 - (112*t[44])/3 + (352*t[45])/3 + 
       (32*t[46])/3 - (416*t[47])/3 + (352*t[48])/3 - (352*t[49])/9 - 
       (416*t[50])/9 + (64*t[51])/3 + (224*t[52])/9 + (224*t[53])/9 + 
       (1912*t[54])/9 - (32*t[59])/9 + (4448*t[60])/9 + (6856*t[61])/9 - 
       (2440*t[62])/9 - (5192*t[63])/9 - 188*t[64] - (752*t[65])/9 - 
       (9760*t[66])/27 + (256*t[70])/9 - (256*t[71])/9 + (64*t[72])/3 + 
       32*t[73] + 64*t[74] - 32*t[75] - (832*t[76])/9 + (160*t[77])/9 + 
       (256*t[78])/9 + (128*t[79])/3 - (128*t[80])/3 - (176*t[81])/9 - 
       (304*t[82])/9 - (128*t[83])/9 + (608*t[84])/3 - (88*t[85])/9 - 
       (64*t[86])/3 + (512*t[87])/9 + (512*t[88])/3 + (328*t[89])/3 - 
       (256*t[95])/3 - (448*t[96])/9 - (2176*t[98])/3 + 896*t[99] - 
       832*t[100]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-33*t[1])/2 + (47*t[2])/2 + (95*t[3])/4 + (267*t[4])/2 - 
       (47*t[5])/2 + 17*t[6] + (61*t[7])/2 - (105*t[8])/2 + (43*t[9])/2 - 
       107*t[10] + (385*t[11])/2 - 28*t[12] - (133*t[13])/18 + 
       (2605*t[14])/24 + (1405*t[15])/72 - 4*t[16] - 6*t[17] - 2*t[18] + 
       2*t[19] - 2*t[20] - 6*t[21] + 6*t[23] + 4*t[24] + 14*t[25] - 9*t[26] - 
       12*t[27] + 29*t[29] + 2*t[30] - 12*t[31] - 9*t[32] - 4*t[33] - 
       3*t[34] - 10*t[36] + 4*t[37] - 10*t[38] + 22*t[39] - 11*t[40] - 
       (11*t[41])/2 + (7*t[42])/2 - (5*t[43])/2 - (3*t[44])/2 + 15*t[45] - 
       15*t[46] - 63*t[47] + 2*t[48] + (97*t[49])/2 + 18*t[50] - 
       (147*t[51])/8 - 3*t[52] - (119*t[53])/2 - 67*t[54] - t[58] + 2*t[59] + 
       (245*t[60])/2 + (815*t[61])/2 + (85*t[62])/4 + (1159*t[63])/4 - 
       (957*t[64])/4 - (1207*t[65])/6 - (1265*t[66])/6 + 4*t[67] + 16*t[68] - 
       2*t[69] + 6*t[70] - 6*t[71] + 12*t[72] + 12*t[74] - 16*t[76] - 
       24*t[77] + 52*t[78] - 84*t[80] + 24*t[81] - 52*t[82] + (123*t[84])/2 - 
       (35*t[85])/2 - 94*t[86] - (283*t[87])/2 - (283*t[88])/4 - 
       (705*t[89])/4 + 2*t[92] - 2*t[94] - 48*t[98] + 192*t[99] - 
       750*t[100]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-21*t[1])/2 + 28*t[2] - (195*t[3])/4 + (97*t[4])/2 - (171*t[5])/2 - 
       (63*t[6])/2 + (331*t[7])/4 - (243*t[8])/4 + (355*t[9])/4 - 
       (3*t[10])/2 + (597*t[11])/4 + (101*t[12])/4 + (6701*t[13])/72 + 
       (3829*t[14])/24 + (1081*t[15])/18 + 4*t[16] + 2*t[17] - 4*t[18] - 
       4*t[19] - 4*t[20] - 8*t[21] + 2*t[22] + 8*t[23] - 4*t[24] + 16*t[25] - 
       5*t[26] - 8*t[27] + 7*t[29] - 38*t[30] - 10*t[31] - 19*t[32] + 
       4*t[33] - t[34] + 6*t[36] - 18*t[37] - 13*t[38] + 11*t[39] + 8*t[40] + 
       (5*t[41])/2 - (9*t[42])/2 + (27*t[43])/4 - (23*t[44])/2 - 
       (23*t[45])/2 + 3*t[46] + 19*t[47] + (51*t[48])/4 - (115*t[49])/4 + 
       (7*t[50])/4 + (37*t[51])/8 - (67*t[52])/4 + (47*t[53])/4 - 
       (39*t[54])/4 - 2*t[55] - t[58] + (23*t[59])/2 + (325*t[60])/2 + 
       461*t[61] - (485*t[62])/4 + (397*t[63])/4 - 171*t[64] - 
       (101*t[65])/2 - (827*t[66])/3 - 2*t[67] - 8*t[68] + 8*t[70] - 
       8*t[71] + 10*t[72] - 45*t[76] + 127*t[78] + 12*t[80] + 20*t[81] - 
       51*t[82] + (167*t[84])/2 - (175*t[85])/2 - 46*t[86] - (183*t[87])/2 - 
       (195*t[88])/4 - (135*t[89])/4 - 2*t[92] + 2*t[94] + 3*t[97] - 
       48*t[98] + 192*t[99] - 750*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*(-12*t[1] + 43*t[2] + (863*t[3])/4 + 
       93*t[4] + (129*t[5])/2 - 62*t[6] + 189*t[7] - 817*t[8] + 
       (115*t[9])/2 - (301*t[10])/2 + (559*t[11])/2 + (57*t[12])/2 + 
       (1873*t[13])/12 + (229*t[14])/6 - (1301*t[15])/24 + 12*t[20] - 
       8*t[23] + 120*t[28] - 9*t[29] + 34*t[30] - 147*t[32] + 90*t[33] + 
       84*t[34] - 12*t[35] - 12*t[37] - 9*t[38] + 6*t[39] - 6*t[40] - 
       6*t[41] + 6*t[42] - 6*t[43] + (159*t[44])/2 - 75*t[45] + 45*t[47] - 
       (201*t[48])/2 + 27*t[49] + (103*t[50])/2 - 18*t[51] - (91*t[52])/2 - 
       27*t[53] - 117*t[54] - (21*t[59])/2 - 147*t[60] + 267*t[61] + 
       t[62]/4 + (1355*t[63])/4 - 204*t[64] - (1339*t[65])/6 - 
       (883*t[66])/2 - t[67] - 4*t[69] - 4*t[70] + 4*t[71] + 160*t[73] + 
       76*t[74] - 180*t[75] + 72*t[76] - 12*t[77] - 27*t[78] - 12*t[79] + 
       30*t[80] + 69*t[81] + 9*t[82] - 172*t[83] - (95*t[84])/2 + 
       (73*t[85])/2 - 36*t[86] - (455*t[87])/2 - (815*t[88])/4 - 
       (1401*t[89])/4 + 36*t[95] + 24*t[96] - 15*t[97] + 432*t[98] - 
       288*t[99] - 732*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 
       1 - u]*(6*t[1] - (267*t[2])/2 + (1267*t[3])/4 + (335*t[4])/2 - 
       48*t[5] - (1229*t[6])/4 + (471*t[7])/2 - (1463*t[8])/2 - 158*t[9] + 
       (31*t[10])/4 + (1689*t[11])/4 + (253*t[12])/4 + (1679*t[13])/12 - 
       (3517*t[14])/24 + (23*t[15])/24 + 32*t[28] - 27*t[29] + 58*t[30] - 
       95*t[32] + 22*t[33] - 30*t[34] - 12*t[37] + 9*t[38] + 24*t[39] + 
       9*t[40] + 3*t[41] - 3*t[42] - 6*t[43] + (277*t[44])/2 - 12*t[45] + 
       18*t[47] - (753*t[48])/4 - (35*t[49])/4 + (279*t[50])/4 + 
       (71*t[51])/8 - (471*t[52])/4 + (179*t[53])/4 - (935*t[54])/4 + 
       (39*t[59])/2 - 220*t[60] + 366*t[61] - 415*t[62] + 457*t[63] - 
       (51*t[64])/2 - (2563*t[65])/6 - (1430*t[66])/3 - 24*t[70] + 24*t[71] + 
       160*t[73] - 18*t[74] - 180*t[75] + 81*t[76] + 6*t[77] - 81*t[78] + 
       12*t[80] - 11*t[81] + 35*t[82] - 160*t[83] - (183*t[84])/2 - 
       152*t[85] - 24*t[86] - 11*t[87] - (191*t[88])/2 - (1235*t[89])/4 + 
       36*t[95] + 78*t[96] + 3*t[97] + 432*t[98] - 288*t[99] - 732*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*(t[1] - (17*t[2])/2 - 
       (497*t[3])/8 + (135*t[4])/4 - (101*t[5])/8 + (565*t[6])/8 - 
       (71*t[7])/4 + (367*t[8])/2 - (179*t[9])/8 - (597*t[10])/8 + 
       (837*t[11])/8 + (57*t[12])/4 + (4493*t[13])/72 + (6871*t[14])/48 + 
       (1883*t[15])/36 + 6*t[19] + 6*t[20] + 8*t[21] - 6*t[22] - 12*t[23] + 
       5*t[24] - 10*t[27] - t[29]/2 + 3*t[30] + (11*t[32])/2 + 8*t[33] - 
       18*t[34] - 10*t[37] + 14*t[39] - 5*t[40] + 3*t[41] - 2*t[42] - 
       t[43]/2 - (55*t[44])/4 + 10*t[45] - t[46] - 34*t[47] + (311*t[48])/8 + 
       (27*t[49])/8 - (41*t[50])/8 + t[51]/16 + (137*t[52])/8 - 
       (27*t[53])/8 + (301*t[54])/8 - (5*t[55])/2 + 5*t[59] + 189*t[60] + 
       (1725*t[61])/4 - (759*t[62])/8 + (355*t[63])/8 - (133*t[64])/8 - 
       (1003*t[65])/12 - (2867*t[66])/12 - (3*t[68])/2 + 2*t[70] - 2*t[71] + 
       22*t[72] + t[74] - 18*t[76] - 3*t[77] + 35*t[78] + 42*t[80] + 
       10*t[81] - 22*t[82] + (181*t[84])/4 - (191*t[85])/4 - 18*t[86] - 
       (171*t[87])/4 - (139*t[88])/8 - (173*t[89])/2 - (3*t[90])/2 - 
       2*t[95] - 2*t[96] + 2*t[97] - 120*t[98] + 264*t[99] - 726*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (t[1] + 48*t[2] - (829*t[3])/8 + (249*t[4])/4 + (21*t[5])/8 + 
       (817*t[6])/8 - (5*t[7])/4 + 194*t[8] - (261*t[9])/8 - (415*t[10])/8 + 
       (777*t[11])/8 + (43*t[12])/4 + (4049*t[13])/72 + (7097*t[14])/48 + 
       (2725*t[15])/72 + 2*t[18] + 18*t[19] + 10*t[20] + 8*t[21] - 10*t[22] - 
       8*t[23] + 5*t[24] - 18*t[27] - (5*t[29])/2 + 3*t[30] + (19*t[32])/2 - 
       4*t[33] + 20*t[34] - t[37] + 14*t[39] - t[40] + 3*t[41] - 4*t[42] - 
       5*t[43] - (67*t[44])/4 + 8*t[45] - 5*t[46] - 24*t[47] + 
       (371*t[48])/8 + (73*t[49])/8 - (109*t[50])/8 + (35*t[51])/16 + 
       (141*t[52])/8 - (73*t[53])/8 + (421*t[54])/8 + (3*t[55])/2 - 2*t[59] + 
       (407*t[60])/2 + (1719*t[61])/4 - (793*t[62])/8 + (261*t[63])/8 - 
       (527*t[64])/8 - (887*t[65])/12 - (2251*t[66])/12 + 3*t[67] + 
       (5*t[68])/2 - 2*t[69] + 6*t[70] - 6*t[71] + 22*t[72] + 7*t[74] - 
       20*t[76] - 3*t[77] + 45*t[78] + 6*t[80] + 13*t[81] - 25*t[82] + 
       (213*t[84])/4 - (213*t[85])/4 - 36*t[86] - (217*t[87])/4 - 
       (185*t[88])/8 - (235*t[89])/4 + (5*t[90])/2 - 2*t[95] - 2*t[96] + 
       2*t[97] - 120*t[98] + 264*t[99] - 726*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u]*(-240*t[3] - 110*t[5] - 685*t[6] + 
       1310*t[7] - 2190*t[8] + 405*t[9] + 865*t[11] + 90*t[12] - 
       (310*t[13])/3 + 215*t[14] + 455*t[15] - 480*t[29] + 480*t[30] + 
       890*t[44] - 985*t[48] - 60*t[49] + 745*t[50] + 30*t[51] - 745*t[52] + 
       60*t[53] - 625*t[54] - 1010*t[60] + 2050*t[61] - 1190*t[62] + 
       2160*t[63] - 795*t[64] - (1040*t[65])/3 + 80*t[66] - 40*t[81] + 
       40*t[82] - 180*t[84] - 360*t[85] + 1130*t[87] + 565*t[88] - 
       805*t[89] - 720*t[100]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w]*
      (-285*t[2] + 420*t[3] + 530*t[5] + 325*t[6] - 770*t[7] - 30*t[8] - 
       1600*t[9] - 120*t[10] - 85*t[11] - 30*t[12] + (50*t[13])/3 - 
       (2885*t[14])/3 + (725*t[15])/3 - 290*t[29] + 480*t[30] - 480*t[32] + 
       480*t[33] + 480*t[44] + 25*t[48] - 265*t[50] + 265*t[52] + 265*t[54] + 
       305*t[59] - 1130*t[60] + 105*t[61] + 385*t[62] + 175*t[63] + 
       740*t[64] + (80*t[65])/3 + (2300*t[66])/3 + 40*t[67] - 240*t[70] + 
       240*t[71] + 80*t[74] - 240*t[84] - 240*t[85] + 1130*t[87] + 
       565*t[88] + 25*t[89] - 720*t[100]) + HPL[{0, 1}, 1 - u]*Qep[v, u, w]*
      (-16*t[1] + (464*t[2])/3 - 352*t[3] + 32*t[4] - 288*t[5] + 
       (592*t[6])/3 + (296*t[7])/3 + 224*t[8] + (1000*t[9])/3 - 
       (368*t[10])/3 - (56*t[11])/3 - 40*t[12] + (1736*t[13])/27 + 
       (1604*t[14])/9 - (340*t[15])/27 - (64*t[24])/3 + (64*t[27])/3 + 
       (64*t[28])/3 - (16*t[29])/3 - (64*t[30])/3 - (64*t[31])/3 + 
       (184*t[32])/3 - (160*t[33])/3 + (32*t[34])/3 - (128*t[35])/3 + 
       (160*t[36])/3 + (40*t[40])/3 - (16*t[41])/3 + (16*t[42])/3 - 
       (32*t[43])/3 + 24*t[44] + 96*t[45] + 16*t[46] - 96*t[47] + 8*t[48] - 
       (320*t[49])/3 + (88*t[50])/3 + (92*t[51])/3 - (184*t[52])/3 + 
       64*t[53] + (536*t[54])/3 - (64*t[59])/3 + (1696*t[60])/3 + 296*t[61] + 
       124*t[62] - (1124*t[63])/3 - (920*t[64])/3 + (784*t[65])/3 - 
       (3664*t[66])/9 - (64*t[72])/3 + 64*t[73] + (32*t[74])/3 - 64*t[75] - 
       64*t[76] - (64*t[77])/3 + (608*t[78])/3 - 192*t[80] + 112*t[81] - 
       80*t[82] - 64*t[83] + (1024*t[84])/3 + (440*t[85])/3 - 64*t[86] + 
       208*t[87] + (344*t[88])/3 + (592*t[89])/3 - (128*t[95])/3 - 64*t[96] - 
       (128*t[97])/3 - 640*t[98] + 896*t[99] - 704*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*(-4*t[1] + 25*t[2] - 
       (143*t[3])/2 + (241*t[4])/2 - (593*t[5])/8 + (577*t[6])/8 + 
       (17*t[7])/4 + 36*t[8] + (383*t[9])/8 + (91*t[10])/4 + (697*t[11])/8 - 
       (147*t[12])/8 - (407*t[13])/72 + (1451*t[14])/8 + (475*t[15])/16 - 
       4*t[16] - (13*t[17])/2 - 2*t[18] + 6*t[19] - 6*t[20] - 10*t[21] + 
       2*t[22] + 11*t[23] - 3*t[24] + 8*t[25] - 8*t[26] - 8*t[27] - 6*t[29] + 
       4*t[30] - 8*t[31] - 7*t[32] - t[33] + 17*t[34] - 8*t[36] - 3*t[38] + 
       9*t[39] - 10*t[41] + 8*t[42] - (23*t[43])/4 - 10*t[44] + 
       (11*t[45])/2 - 13*t[46] - 17*t[47] + (43*t[48])/8 + (125*t[49])/4 - 
       (37*t[50])/8 - (63*t[51])/8 - (35*t[52])/8 - (125*t[53])/4 + 
       (281*t[54])/8 - 2*t[58] + (7*t[59])/2 + (687*t[60])/4 + 
       (859*t[61])/2 - (301*t[62])/8 + (1729*t[63])/8 - (507*t[64])/2 - 
       (1211*t[65])/6 - (381*t[66])/2 + 4*t[67] + (29*t[68])/2 - 2*t[69] + 
       6*t[70] - 5*t[71] + 12*t[72] + 12*t[74] - 21*t[76] - 8*t[77] + 
       56*t[78] - 98*t[80] + (55*t[81])/2 - (87*t[82])/2 + 8*t[83] + 
       (113*t[84])/2 - (107*t[85])/4 - 122*t[86] - (333*t[87])/4 - 
       (333*t[88])/8 - (239*t[89])/2 + (3*t[90])/2 - 120*t[98] + 248*t[99] - 
       652*t[100]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      (-11*t[1] - (51*t[2])/2 - (115*t[3])/2 + 11*t[4] - 93*t[5] + 
       (133*t[6])/4 + (89*t[7])/2 + (75*t[8])/2 + 99*t[9] - (41*t[10])/4 + 
       (305*t[11])/4 + (123*t[12])/4 + (355*t[13])/12 + (1601*t[14])/12 + 
       14*t[15] + 4*t[16] + 2*t[20] - 4*t[22] + 16*t[25] - 2*t[26] - 
       6*t[27] - 4*t[29] + 2*t[30] - 8*t[31] + 3*t[32] + 4*t[35] + 6*t[36] - 
       20*t[37] - 14*t[38] + 10*t[39] + 2*t[41] - 2*t[42] - 4*t[43] + 
       6*t[44] + 4*t[45] + 2*t[46] - 4*t[47] + (39*t[48])/4 - (79*t[49])/4 - 
       (53*t[50])/4 + (3*t[51])/4 + (13*t[52])/4 - (21*t[53])/4 + 
       (157*t[54])/4 + (17*t[59])/2 + (709*t[60])/4 + (1707*t[61])/4 - 
       (1041*t[62])/8 + (549*t[63])/8 + (153*t[64])/8 - (110*t[65])/3 - 
       (446*t[66])/3 + 2*t[69] + 4*t[70] - 4*t[71] + 22*t[72] + 2*t[74] + 
       4*t[75] - 17*t[76] + 2*t[77] + 41*t[78] + 32*t[80] + (25*t[81])/2 - 
       (61*t[82])/2 + 3*t[83] + (93*t[84])/2 - (175*t[85])/4 - 12*t[86] - 
       (113*t[87])/4 + (15*t[88])/8 - (267*t[89])/8 - 4*t[95] - 6*t[96] + 
       5*t[97] - 120*t[98] + 248*t[99] - 652*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-9*t[1])/2 + (133*t[2])/6 - (981*t[3])/4 + (1975*t[4])/24 - 
       (2807*t[5])/16 + (10337*t[6])/48 + (249*t[7])/8 + (3055*t[8])/8 + 
       (5297*t[9])/16 + (909*t[10])/16 + (7225*t[11])/48 + (989*t[12])/24 + 
       (4049*t[13])/36 + (96835*t[14])/288 + (2639*t[15])/288 - 2*t[17] - 
       3*t[18] + (37*t[19])/3 - 3*t[20] - 7*t[21] + 3*t[22] + 2*t[23] + 
       9*t[24] - 3*t[26] - 2*t[27] + 6*t[28] + 7*t[29] - (33*t[30])/2 - 
       12*t[31] + (101*t[32])/2 - (71*t[33])/2 + 80*t[34] + 37*t[35] - 
       6*t[36] - 8*t[37] - 16*t[38] + 18*t[39] - (283*t[40])/6 + 3*t[41] - 
       (37*t[43])/4 - (121*t[44])/2 - 55*t[45] + (125*t[47])/2 + 
       (549*t[48])/16 + (617*t[49])/16 + (213*t[50])/16 - (841*t[51])/32 + 
       (651*t[52])/16 - (553*t[53])/16 + (3367*t[54])/48 + (71*t[59])/4 + 
       (1877*t[60])/6 + (1583*t[61])/4 - (899*t[62])/4 - 41*t[63] - 
       (1675*t[64])/8 - (3335*t[65])/36 - (15311*t[66])/36 - t[67]/2 + 
       t[68]/2 + 14*t[69] + 31*t[72] + 3*t[74] + 21*t[75] + (407*t[76])/6 + 
       11*t[77] - 12*t[78] - 61*t[79] + 36*t[80] + (361*t[81])/6 - 
       (147*t[82])/2 + 78*t[83] + (81*t[84])/2 + (247*t[85])/6 + 6*t[86] - 
       143*t[87] - (103*t[88])/2 - (341*t[89])/8 - t[90]/2 - 8*t[95] + 
       2*t[96] + (33*t[97])/2 + 420*t[98] - 360*t[99] - 585*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-5*t[1])/2 + (2063*t[2])/24 - (7723*t[3])/48 - (809*t[4])/8 + 
       (1231*t[5])/16 + (6127*t[6])/32 - (2027*t[7])/24 + (1030*t[8])/3 + 
       (237*t[9])/4 - (4009*t[10])/48 - (2965*t[11])/96 - (551*t[12])/12 - 
       (2147*t[13])/432 + (26183*t[14])/144 + (32039*t[15])/864 + 
       (5*t[17])/2 - 4*t[18] - 4*t[19] - (88*t[20])/3 - 4*t[21] + 24*t[22] + 
       5*t[23] + (155*t[24])/3 + (23*t[27])/3 - (85*t[29])/12 - 62*t[30] + 
       (179*t[32])/6 + (35*t[33])/6 + (35*t[34])/3 + 32*t[36] + 
       (13*t[37])/6 - (38*t[38])/3 + (74*t[39])/3 - (599*t[40])/12 - 
       (41*t[41])/12 + (17*t[42])/12 - (107*t[43])/12 - (237*t[44])/8 + 
       (3*t[45])/2 + (5*t[46])/2 - 50*t[47] + (1757*t[48])/32 - 
       (107*t[49])/48 - (9893*t[50])/96 - (323*t[51])/32 + (15365*t[52])/96 + 
       (235*t[53])/48 + (13705*t[54])/96 + t[55]/2 + 2*t[56] + (38*t[59])/3 + 
       (8101*t[60])/48 + (9797*t[61])/48 - (13009*t[62])/96 + 
       (7777*t[63])/96 + (7623*t[64])/32 - (5417*t[65])/16 - 
       (21875*t[66])/144 - 9*t[68] + (53*t[70])/3 - (53*t[71])/3 + t[72] - 
       20*t[73] + (263*t[74])/2 + 20*t[75] + (253*t[76])/3 - (47*t[77])/6 - 
       (364*t[78])/3 - 56*t[79] + 17*t[80] - (229*t[81])/12 + (61*t[82])/12 + 
       (23*t[83])/3 + (9*t[84])/16 + (1069*t[85])/48 + t[86] - 
       (8045*t[87])/48 - (1279*t[88])/32 - (5319*t[89])/32 - t[91]/3 - 
       2*t[93] + t[95] - (17*t[96])/3 + 15*t[97] + 244*t[98] - 222*t[99] - 
       524*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((31*t[1])/2 - (619*t[2])/24 - (2239*t[3])/24 + (1531*t[4])/24 - 
       (9511*t[5])/48 + (1391*t[6])/96 + (1003*t[7])/6 + (5333*t[8])/24 + 
       (3239*t[9])/24 + (4865*t[10])/48 + (22673*t[11])/96 + (455*t[12])/4 - 
       (1691*t[13])/216 + (36925*t[14])/144 + (1828*t[15])/27 - 13*t[17] - 
       24*t[20] + 24*t[22] - (8*t[24])/3 - t[27]/3 - 11*t[28] + 
       (25*t[29])/6 + (113*t[30])/3 + (211*t[32])/6 - (115*t[33])/6 - 
       12*t[34] + 14*t[35] - 32*t[36] - (107*t[37])/6 + (16*t[38])/3 + 
       (8*t[39])/3 - (137*t[40])/12 + (91*t[41])/12 - (91*t[42])/12 + 
       (13*t[43])/12 + (401*t[44])/12 - (188*t[45])/3 - 4*t[46] + 
       (215*t[47])/2 - (557*t[48])/32 - (27*t[49])/16 + (119*t[50])/32 + 
       (817*t[51])/96 + (347*t[52])/96 + (1361*t[53])/48 + (1937*t[54])/32 + 
       2*t[55] + 2*t[56] + (17*t[59])/3 + (13267*t[60])/48 + 
       (28505*t[61])/48 - (41981*t[62])/96 + (613*t[63])/96 - 
       (15887*t[64])/96 - (31249*t[65])/144 - (16727*t[66])/144 + 30*t[68] + 
       (29*t[70])/3 - (29*t[71])/3 - (40*t[72])/3 - 26*t[73] + (9*t[74])/2 + 
       26*t[75] - (155*t[76])/6 + (113*t[77])/6 + (133*t[78])/6 + 8*t[79] + 
       (269*t[80])/3 - (127*t[81])/4 - (109*t[82])/12 + (50*t[83])/3 - 
       (721*t[84])/48 - (5695*t[85])/48 + 29*t[86] - (6017*t[87])/48 - 
       (603*t[88])/32 - (7783*t[89])/96 + t[91]/3 - 2*t[93] + t[95] + 
       (103*t[96])/3 + 33*t[97] + 244*t[98] - 222*t[99] - 524*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (t[1] + 25*t[2] - (351*t[3])/4 + (429*t[4])/4 - (731*t[5])/8 + 
       (33*t[6])/4 + 51*t[7] + 12*t[8] + (1017*t[9])/8 - (57*t[10])/8 + 
       (219*t[11])/2 - (205*t[12])/4 + (667*t[13])/9 + (2241*t[14])/16 + 
       (2093*t[15])/144 + 4*t[17] + 4*t[19] + 4*t[20] + 4*t[21] - 4*t[22] - 
       2*t[23] + 38*t[24] + 4*t[27] + 8*t[28] - 2*t[29] - 24*t[30] + 
       4*t[31] - 11*t[32] + 2*t[33] + 10*t[34] - 4*t[35] + 8*t[36] - 
       6*t[37] - 2*t[38] + 18*t[39] - 11*t[40] + 7*t[41] - 7*t[42] - 
       (37*t[43])/4 - 23*t[44] + 25*t[45] + 4*t[46] - 46*t[47] + 
       (43*t[48])/4 + (153*t[49])/8 - (61*t[50])/4 - (217*t[51])/16 + 
       (77*t[52])/4 - (89*t[53])/8 + (13*t[54])/2 - t[55] - 4*t[57] + 
       4*t[59] + (581*t[60])/4 + (1215*t[61])/4 - (881*t[62])/8 + 
       (1105*t[63])/8 - (1093*t[64])/8 - (2489*t[65])/12 - (4007*t[66])/12 - 
       8*t[68] - 4*t[70] + 4*t[71] + 2*t[72] + 54*t[74] + 63*t[76] + 
       6*t[77] - 59*t[78] - 6*t[80] + 25*t[81] - 29*t[82] - 14*t[83] + 
       (69*t[84])/4 - (21*t[85])/4 - 95*t[86] - (511*t[87])/4 - 
       (663*t[88])/8 - (379*t[89])/8 - t[91]/3 + 4*t[95] + 16*t[96] + 
       8*t[97] + 144*t[98] - 24*t[99] - 492*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      (t[1] - 3*t[2] + (319*t[3])/4 + (153*t[4])/4 - (391*t[5])/8 + 
       (89*t[6])/4 + (193*t[7])/2 + (15*t[8])/2 + (253*t[9])/8 - 
       (157*t[10])/8 + (215*t[11])/2 + (21*t[12])/4 - (67*t[13])/4 + 
       (3707*t[14])/48 + (3605*t[15])/144 - 15*t[17] + 4*t[24] - 6*t[27] + 
       12*t[29] - 12*t[30] + 2*t[31] - 11*t[32] - 8*t[33] + 10*t[34] - 
       4*t[35] - 8*t[36] - 18*t[37] - 2*t[38] + 10*t[39] - 15*t[40] + t[41] - 
       t[42] - (9*t[43])/4 + 29*t[44] - 43*t[45] - 3*t[46] + 29*t[47] - 
       (111*t[48])/4 + (129*t[49])/8 + (9*t[50])/4 - (145*t[51])/16 + 
       (15*t[52])/4 - (65*t[53])/8 - 25*t[54] + 2*t[55] - 4*t[57] - 3*t[59] + 
       (457*t[60])/4 + (779*t[61])/4 - (537*t[62])/8 + (161*t[63])/8 - 
       (1325*t[64])/8 - (551*t[65])/12 + (227*t[66])/12 + 30*t[68] - 
       4*t[70] + 4*t[71] - 2*t[74] - 8*t[76] - 8*t[77] - 2*t[78] + 38*t[80] + 
       18*t[81] - 23*t[82] + (15*t[84])/4 - (9*t[85])/4 + 3*t[86] - 
       (395*t[87])/4 - (547*t[88])/8 - (695*t[89])/8 + t[91]/3 + 4*t[95] + 
       16*t[96] + 8*t[97] + 144*t[98] - 24*t[99] - 492*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-69*t[1])/2 + (327*t[2])/4 + (657*t[3])/4 - (4079*t[4])/16 + 
       (3795*t[5])/16 - (1713*t[6])/8 + (285*t[7])/8 - (2529*t[8])/4 - 
       (3957*t[9])/16 + (6479*t[10])/32 + (149*t[11])/8 + (1637*t[12])/32 - 
       (578*t[13])/3 + (10477*t[14])/192 + (1439*t[15])/12 + 6*t[18] - 
       22*t[19] + 12*t[20] - 24*t[21] - 30*t[22] + 24*t[23] + 6*t[25] + 
       21*t[26] - 3*t[27] + 3*t[28] + (195*t[29])/4 + (537*t[30])/4 - 
       66*t[31] - (99*t[32])/4 - 27*t[33] + (141*t[34])/2 - 105*t[35] - 
       (81*t[36])/2 + (21*t[37])/2 - (75*t[38])/2 - (27*t[39])/2 + 45*t[40] - 
       (117*t[41])/4 + (93*t[42])/4 + (27*t[43])/2 + (711*t[44])/8 - 
       (159*t[45])/4 - (39*t[46])/2 - (165*t[47])/4 - (849*t[48])/8 + 
       (2185*t[49])/32 + (1587*t[50])/8 - (4497*t[51])/64 - (1647*t[52])/8 - 
       (1105*t[53])/32 - (2815*t[54])/16 + (3*t[58])/2 + 20*t[59] - 
       (1865*t[60])/4 + (1247*t[61])/8 + (941*t[62])/16 + (11407*t[63])/16 - 
       314*t[64] - (71*t[65])/3 + (279*t[66])/4 - 3*t[68] - 12*t[69] - 
       18*t[70] + 18*t[71] - 15*t[72] + 30*t[73] - (33*t[74])/2 - 66*t[75] + 
       (159*t[76])/2 - 12*t[77] - (483*t[78])/4 + 93*t[79] + (105*t[80])/2 + 
       (159*t[81])/4 + 33*t[82] + (243*t[83])/2 - (1299*t[84])/8 - 
       (623*t[85])/4 - 72*t[86] + 137*t[87] - 29*t[88] - (4403*t[89])/8 - 
       3*t[95] + 21*t[96] - (3*t[97])/4 + 432*t[98] - 357*t[99] - 
       465*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((11*t[1])/8 + (69*t[2])/4 - (27*t[3])/16 + (81*t[4])/2 + 
       (225*t[5])/4 - (501*t[6])/32 + (15*t[7])/8 + (285*t[8])/4 + 
       (207*t[9])/16 - (2067*t[10])/16 + (5073*t[11])/32 + (57*t[12])/16 + 
       (1997*t[13])/16 - (9*t[14])/2 - (37*t[15])/3 - 6*t[18] + 6*t[20] - 
       6*t[21] - (63*t[22])/2 + (9*t[23])/2 - 12*t[24] + 12*t[25] - 
       (45*t[26])/4 - 12*t[27] + 6*t[29] + (3*t[30])/2 - (15*t[31])/2 + 
       3*t[32] - 3*t[33] + (57*t[34])/4 - 3*t[35] + 21*t[36] - (15*t[38])/4 + 
       3*t[39] - (113*t[40])/8 + (77*t[41])/8 - (51*t[42])/8 + 
       (177*t[43])/4 - (111*t[44])/8 - (297*t[45])/8 - (123*t[46])/4 + 
       (141*t[47])/2 + (1017*t[48])/32 + (333*t[49])/16 + (45*t[50])/32 + 
       (273*t[51])/32 + (411*t[52])/32 - (285*t[53])/16 - (741*t[54])/32 + 
       (3*t[58])/4 + (23*t[59])/4 + (909*t[60])/16 + (3051*t[61])/16 - 
       (2757*t[62])/32 - (1323*t[63])/32 + (4521*t[64])/32 + 
       (1879*t[65])/48 - (6079*t[66])/16 - 3*t[68] + 9*t[70] - 9*t[71] + 
       21*t[73] - 3*t[74] - 12*t[75] + (81*t[76])/4 + (37*t[77])/2 - 
       (27*t[78])/4 + (447*t[80])/2 + (3*t[81])/4 + 24*t[82] - 33*t[83] + 
       (63*t[84])/16 - (381*t[85])/16 + (279*t[86])/4 - (471*t[87])/16 - 
       (471*t[88])/32 - (1545*t[89])/32 + (9*t[96])/2 + (9*t[97])/2 + 
       432*t[98] - 357*t[99] - 465*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((17*t[1])/8 - (62*t[2])/3 + 
       (2999*t[3])/48 - 67*t[4] - (205*t[5])/4 + (1659*t[6])/32 + 
       (4009*t[7])/24 + (1643*t[8])/24 + (477*t[9])/16 - (523*t[10])/12 + 
       (5651*t[11])/96 + (1955*t[12])/24 - (12613*t[13])/216 + 
       (37651*t[14])/288 + (14093*t[15])/216 - (37*t[17])/4 + (59*t[20])/3 - 
       24*t[22] - (31*t[24])/3 - (83*t[27])/6 + (35*t[29])/12 - 18*t[30] - 
       (11*t[32])/12 - (85*t[33])/6 - (121*t[34])/12 + 8*t[36] - 
       (77*t[37])/6 - (19*t[38])/6 + (65*t[39])/3 - (50*t[40])/3 + 
       (65*t[41])/24 - (65*t[42])/24 - (5*t[43])/12 - (93*t[44])/8 - 
       (263*t[45])/4 - (43*t[46])/4 + (275*t[47])/4 + (637*t[48])/32 - 
       (199*t[49])/24 + (1147*t[50])/96 + (69*t[51])/8 + (29*t[52])/96 + 
       (455*t[53])/24 + (3757*t[54])/96 - t[55] - 2*t[56] + (143*t[59])/12 - 
       (4199*t[60])/48 + (18479*t[61])/48 - (22027*t[62])/96 + 
       (22027*t[63])/96 - (1907*t[64])/32 + (5893*t[65])/48 + 
       (19375*t[66])/144 + (45*t[68])/2 - t[70]/3 + t[71]/3 + 22*t[72] - 
       20*t[73] - (41*t[74])/2 + 20*t[75] - (581*t[76])/12 - (7*t[77])/3 + 
       (523*t[78])/6 - 24*t[79] + (117*t[80])/2 + (47*t[81])/12 + 
       (307*t[82])/12 + (71*t[83])/3 - (607*t[84])/16 - (5705*t[85])/48 + 
       51*t[86] - (995*t[87])/48 - (233*t[88])/32 - (4101*t[89])/32 + 
       t[91]/3 + 2*t[93] + 9*t[95] + (34*t[96])/3 + 13*t[97] + 16*t[98] + 
       138*t[99] - 457*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 
       1 - w]*((23*t[1])/8 + (401*t[2])/24 - (131*t[3])/3 + (230*t[4])/3 + 
       (491*t[5])/12 + (1595*t[6])/96 - (821*t[7])/24 + (2249*t[8])/24 + 
       (1027*t[9])/48 + (127*t[10])/6 + (19205*t[11])/96 - (197*t[12])/8 + 
       (31517*t[13])/432 + (30437*t[14])/288 + (4565*t[15])/864 + 3*t[17] + 
       4*t[18] + 4*t[19] + 20*t[20] - 4*t[21] - 24*t[22] + (143*t[24])/6 - 
       (31*t[27])/3 - 9*t[28] - (59*t[29])/6 - (7*t[30])/3 - (85*t[32])/12 + 
       (41*t[33])/6 + (25*t[34])/4 + 26*t[35] - 8*t[36] - (5*t[37])/6 - 
       (29*t[38])/12 + (173*t[39])/12 - (79*t[40])/6 + (71*t[41])/24 - 
       (23*t[42])/24 - (77*t[43])/12 - (115*t[44])/3 + (245*t[45])/6 - 
       (13*t[46])/2 - (139*t[47])/2 + (571*t[48])/32 + (209*t[49])/4 - 
       (1025*t[50])/32 - (467*t[51])/24 + (4331*t[52])/96 - (487*t[53])/12 - 
       (659*t[54])/32 - t[55]/4 - 2*t[56] - (179*t[59])/24 + 
       (4339*t[60])/48 + (21203*t[61])/48 - (25163*t[62])/96 + 
       (13003*t[63])/96 + (13159*t[64])/96 - (43987*t[65])/144 - 
       (74999*t[66])/144 - 11*t[68] - 4*t[69] - (13*t[70])/3 + (13*t[71])/3 + 
       (29*t[72])/3 - 14*t[73] + (85*t[74])/2 + 14*t[75] + (173*t[76])/3 - 
       t[77]/6 - (181*t[78])/3 - 8*t[79] + (125*t[80])/3 + (93*t[81])/4 - 
       (475*t[82])/12 + (44*t[83])/3 - (1915*t[84])/48 - (4273*t[85])/48 - 
       9*t[86] - (6323*t[87])/48 - (2009*t[88])/32 - (14809*t[89])/96 - 
       t[90] - t[91]/3 + 2*t[93] + 9*t[95] + (107*t[96])/6 + (55*t[97])/4 + 
       16*t[98] + 138*t[99] - 457*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*((-49*t[1])/2 + (177*t[2])/8 - 
       (219*t[3])/4 + (385*t[4])/8 - (135*t[5])/4 + 44*t[6] - t[7]/2 + 
       42*t[8] + (245*t[9])/8 + (847*t[10])/16 + (479*t[11])/8 + 
       (249*t[12])/16 - (3299*t[13])/72 + (9935*t[14])/96 + (128*t[15])/3 - 
       2*t[16] + (3*t[17])/4 - 6*t[18] - 6*t[20] - 12*t[21] + 12*t[23] - 
       12*t[24] + (11*t[25])/2 - (3*t[26])/2 - (11*t[27])/2 + 14*t[29] + 
       2*t[30] - 6*t[31] + 2*t[32] - 8*t[33] - 5*t[34] - 4*t[36] - 
       (17*t[38])/2 + 8*t[39] - 2*t[40] - (3*t[41])/2 - 3*t[42] + 
       (57*t[43])/4 - (9*t[44])/2 + (53*t[45])/2 - (19*t[46])/4 - 61*t[47] + 
       (41*t[48])/2 + (257*t[49])/16 + 8*t[50] - (283*t[51])/32 - 5*t[52] - 
       (257*t[53])/16 + (131*t[54])/8 - t[58] + 20*t[59] + 56*t[60] + 
       (1219*t[61])/4 - (129*t[62])/8 + (1841*t[63])/8 - (1441*t[64])/8 - 
       (1877*t[65])/12 - (437*t[66])/12 + 2*t[67] + (17*t[68])/2 + 10*t[69] + 
       4*t[70] - 4*t[71] + 12*t[72] + 10*t[74] - 26*t[76] - 8*t[77] + 
       54*t[78] - 61*t[80] + 12*t[81] - 22*t[82] + (61*t[84])/2 - 40*t[85] - 
       96*t[86] - (87*t[87])/2 - (87*t[88])/4 - (915*t[89])/8 - t[90]/2 - 
       t[92]/2 + t[94]/2 - 204*t[98] + 336*t[99] - 453*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (t[1] - (23*t[2])/4 - 25*t[3] + 30*t[4] - (141*t[5])/4 + 
       (425*t[6])/16 + (43*t[7])/4 + (233*t[8])/4 + (153*t[9])/4 - 
       (261*t[10])/4 + (1569*t[11])/16 + (231*t[12])/8 + (439*t[13])/12 + 
       (2135*t[14])/24 + (197*t[15])/8 + t[16]/2 + (43*t[25])/2 - 
       (31*t[26])/2 - 5*t[27] - 22*t[30] - 4*t[31] - 2*t[36] - 4*t[37] - 
       3*t[38] + (15*t[39])/2 - (3*t[40])/2 - 7*t[43] - 2*t[44] - 
       (11*t[46])/4 + (349*t[48])/16 - (69*t[49])/4 - (363*t[50])/16 + 
       (43*t[51])/16 + (187*t[52])/16 - (29*t[53])/4 + (395*t[54])/16 + 
       (67*t[59])/4 + (999*t[60])/8 + (1307*t[61])/4 - (1491*t[62])/16 + 
       (799*t[63])/16 - (231*t[64])/8 - (29*t[65])/6 - (319*t[66])/2 + 
       (5*t[67])/2 - t[68]/2 + 10*t[69] - 2*t[70] + 2*t[71] + 14*t[72] + 
       8*t[74] - 28*t[76] + (115*t[78])/2 + 23*t[80] + (37*t[81])/4 - 
       (47*t[82])/4 + (155*t[84])/4 - (467*t[85])/8 - 24*t[86] - 
       (69*t[87])/8 + (379*t[88])/16 - (323*t[89])/8 - t[90] - 6*t[95] - 
       7*t[96] + (11*t[97])/2 - 204*t[98] + 336*t[99] - 453*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      (-3*t[1] + (259*t[2])/12 - (587*t[3])/12 + (295*t[4])/6 - 
       (967*t[5])/12 + (1645*t[6])/48 + (1405*t[7])/24 + (65*t[8])/24 + 
       (901*t[9])/12 - (311*t[10])/24 + (4093*t[11])/48 + (23*t[12])/4 - 
       (3139*t[13])/432 + (15289*t[14])/144 + (4289*t[15])/216 - 2*t[16] - 
       4*t[17] + 3*t[18] + 3*t[19] - 3*t[20] - 5*t[21] + t[22] + 5*t[23] - 
       (8*t[24])/3 + 4*t[25] - 4*t[26] - (4*t[27])/3 - 2*t[28] + 
       (17*t[29])/3 - (13*t[30])/3 - 12*t[31] + (14*t[32])/3 - (14*t[33])/3 - 
       3*t[34] - 2*t[35] + 2*t[36] - (7*t[37])/3 - (5*t[38])/3 + 
       (5*t[39])/3 - t[40]/6 - (17*t[41])/3 + (14*t[42])/3 - (73*t[43])/24 + 
       (67*t[44])/6 + (61*t[45])/12 - (11*t[46])/2 - (25*t[47])/2 - 
       (125*t[48])/16 + (13*t[49])/4 + (471*t[50])/16 + (5*t[51])/12 - 
       (1205*t[52])/48 - (103*t[53])/12 + (141*t[54])/16 - t[58] - 
       (4*t[59])/3 + (2993*t[60])/24 + (6859*t[61])/24 - (2083*t[62])/48 + 
       (6467*t[63])/48 - (9373*t[64])/48 - (4727*t[65])/72 - 
       (9229*t[66])/72 + 2*t[67] + 8*t[68] - 9*t[69] + (11*t[70])/3 - 
       (11*t[71])/3 + (2*t[72])/3 + 4*t[73] + 5*t[74] - 8*t[75] - 
       (52*t[76])/3 - (23*t[77])/3 + (119*t[78])/3 - (160*t[80])/3 + 
       (31*t[81])/2 - (131*t[82])/6 + (20*t[83])/3 + (1357*t[84])/24 - 
       (29*t[85])/24 - 35*t[86] - (1135*t[87])/24 - (309*t[88])/16 - 
       (3797*t[89])/48 - 6*t[95] - (26*t[96])/3 - 4*t[97] - 104*t[98] + 
       196*t[99] - 437*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-4*t[1] - (101*t[2])/12 - (1037*t[3])/24 + 
       (71*t[4])/2 - (563*t[5])/8 + (615*t[6])/16 - (7*t[7])/3 + 
       (583*t[8])/12 + (57*t[9])/2 + (79*t[10])/24 + (2479*t[11])/48 + 
       (89*t[12])/6 + (3745*t[13])/108 + (9503*t[14])/144 + 
       (3481*t[15])/432 + 2*t[16] + (2*t[20])/3 + 2*t[22] + (8*t[24])/3 + 
       8*t[25] - t[26] - (7*t[27])/3 + 2*t[28] - (5*t[29])/6 - 10*t[30] - 
       4*t[31] + (4*t[32])/3 + (13*t[33])/3 - (7*t[34])/3 - 4*t[35] - 
       3*t[36] - (37*t[37])/3 - (14*t[38])/3 + (5*t[39])/3 + (23*t[40])/6 + 
       (4*t[41])/3 - (4*t[42])/3 - (25*t[43])/6 - (21*t[44])/4 + 13*t[45] + 
       2*t[46] - 16*t[47] + (277*t[48])/16 - (271*t[49])/24 - 
       (661*t[50])/48 + (3*t[51])/2 + (229*t[52])/48 + (107*t[53])/24 + 
       (1565*t[54])/48 + (13*t[59])/6 + (2081*t[60])/24 + (6271*t[61])/24 - 
       (2555*t[62])/48 + (1667*t[63])/48 - (539*t[64])/16 - (257*t[65])/8 - 
       (9763*t[66])/72 - 2*t[69] + (8*t[70])/3 - (8*t[71])/3 + 9*t[72] + 
       4*t[73] + 8*t[74] - 2*t[75] - (41*t[76])/3 + (14*t[77])/3 + 
       (68*t[78])/3 + 8*t[79] + 2*t[80] + (26*t[81])/3 - (59*t[82])/3 - 
       (25*t[83])/3 + (281*t[84])/8 - (673*t[85])/24 - 38*t[86] - 
       (439*t[87])/24 + (51*t[88])/16 - (159*t[89])/16 - 8*t[95] - 
       (14*t[96])/3 + t[97] - 104*t[98] + 196*t[99] - 437*t[100]) + 
     HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u]*(-96*t[3] + 96*t[4] + 62*t[5] - 
       363*t[6] + 738*t[7] - 1442*t[8] + 373*t[9] - 48*t[10] + 567*t[11] + 
       6*t[12] + (214*t[13])/3 + 89*t[14] + (365*t[15])/3 - 192*t[29] + 
       192*t[30] + 486*t[44] - 495*t[48] + 12*t[49] + 399*t[50] - 6*t[51] - 
       399*t[52] - 12*t[53] - 423*t[54] - 318*t[60] + 1006*t[61] - 
       642*t[62] + 808*t[63] - 461*t[64] - (1048*t[65])/3 - (1408*t[66])/3 + 
       40*t[81] - 40*t[82] - 60*t[84] - 72*t[85] + 390*t[87] + 195*t[88] - 
       387*t[89] - 432*t[100]) + HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w]*
      (-222*t[2] + 156*t[3] + 142*t[5] + 147*t[6] - 318*t[7] + 206*t[8] - 
       688*t[9] - 72*t[10] - 99*t[11] + 30*t[12] - (41*t[13])/3 - 419*t[14] + 
       (482*t[15])/3 - 138*t[29] + 192*t[30] - 192*t[32] + 192*t[33] + 
       192*t[44] + 15*t[48] - 111*t[50] + 111*t[52] + 111*t[54] + 165*t[59] - 
       486*t[60] - 163*t[61] + 343*t[62] + 217*t[63] + 148*t[64] + 
       (566*t[65])/3 + (1712*t[66])/3 + 24*t[67] - 144*t[70] + 144*t[71] - 
       80*t[74] - 96*t[84] - 96*t[85] + 486*t[87] + 243*t[88] + 63*t[89] - 
       432*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*
      (18*t[1] + (159*t[2])/2 - (3093*t[3])/4 + (717*t[4])/2 - 
       (3885*t[5])/4 + 537*t[6] + 148*t[7] + 1160*t[8] + (2593*t[9])/4 + 
       (1067*t[10])/4 + 295*t[11] - (91*t[12])/2 - (1477*t[13])/4 + 
       (15529*t[14])/24 - 31*t[15] - 42*t[18] - 24*t[20] + 42*t[22] + 
       96*t[28] + 249*t[29] - 192*t[30] - 24*t[31] + 147*t[32] + 114*t[33] + 
       144*t[35] - 224*t[36] + 24*t[37] - 9*t[38] - 69*t[39] + 68*t[40] + 
       3*t[41] - 3*t[42] - (183*t[43])/2 - (471*t[44])/2 - 69*t[45] + 
       92*t[46] + 96*t[47] + (789*t[48])/2 + (299*t[49])/4 + (175*t[50])/2 - 
       (551*t[51])/8 + (53*t[52])/2 - (443*t[53])/4 + (695*t[54])/2 + 
       9*t[59] - 395*t[60] + (2505*t[61])/2 - (3743*t[62])/4 - 
       (3241*t[63])/4 - (275*t[64])/4 + (434*t[65])/3 - (1951*t[66])/3 + 
       96*t[68] + 72*t[69] + 60*t[70] - 60*t[71] + 120*t[72] + 96*t[73] + 
       162*t[74] + 40*t[75] - 366*t[76] + 27*t[77] + 312*t[78] - 104*t[79] - 
       288*t[80] - 151*t[81] - 515*t[82] + 269*t[84] + (629*t[85])/2 + 
       428*t[86] - (587*t[87])/2 + (313*t[88])/4 + 26*t[89] - 132*t[95] - 
       120*t[96] + 12*t[97] - 1512*t[98] + 1224*t[99] - 408*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*(9*t[1] - 232*t[2] - 
       (657*t[3])/4 - (1671*t[4])/2 + 264*t[5] + (2591*t[6])/4 - 922*t[7] + 
       2742*t[8] - (971*t[9])/2 - (227*t[10])/4 - (3521*t[11])/4 + 
       (1991*t[12])/4 - (21749*t[13])/36 + (1743*t[14])/8 + (1295*t[15])/8 + 
       12*t[17] + 8*t[18] + 40*t[19] - 48*t[20] + 56*t[21] + 72*t[22] - 
       56*t[23] + 48*t[24] + 24*t[26] + 120*t[28] - 105*t[29] - 546*t[30] - 
       24*t[31] + 69*t[32] + 84*t[33] - 198*t[34] + 72*t[35] + 264*t[36] + 
       34*t[37] - 6*t[38] + 6*t[39] - 33*t[40] + 76*t[41] - 56*t[42] - 
       24*t[43] - (837*t[44])/2 + 139*t[45] - 72*t[46] - 9*t[47] + 
       (1915*t[48])/4 - (2019*t[49])/4 - (2273*t[50])/4 + (1689*t[51])/8 + 
       (2441*t[52])/4 + (2019*t[53])/4 + (3765*t[54])/4 + (501*t[59])/2 + 
       (563*t[60])/2 + 1120*t[61] + (821*t[62])/4 - (7189*t[63])/4 + 
       (2117*t[64])/2 + 1379*t[65] + (5173*t[66])/6 + 4*t[67] - 96*t[68] + 
       40*t[69] - 8*t[70] + 8*t[71] + 240*t[72] - 48*t[73] - 70*t[74] + 
       96*t[75] - 263*t[76] - 72*t[77] + 93*t[78] + 80*t[79] - 184*t[80] - 
       435*t[81] + 140*t[82] - 496*t[83] + 379*t[84] - (759*t[85])/2 - 
       72*t[86] + (669*t[87])/2 + (1569*t[88])/4 + (1029*t[89])/4 - 
       132*t[95] - 48*t[96] + 39*t[97] - 1512*t[98] + 1224*t[99] - 
       408*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*(-2*t[1] + (175*t[2])/12 - (1709*t[3])/24 + 
       38*t[4] - (247*t[5])/4 + (1491*t[6])/16 - (461*t[7])/24 + 
       (2807*t[8])/24 + (169*t[9])/4 - (761*t[10])/24 + (481*t[11])/48 - 
       (17*t[12])/12 - (9125*t[13])/432 + (14363*t[14])/144 + 
       (4237*t[15])/432 - 2*t[16] - 4*t[17] - 5*t[18] + 3*t[19] - 
       (7*t[20])/3 - 5*t[21] + t[22] + 5*t[23] + (8*t[24])/3 + 4*t[25] - 
       4*t[26] - (4*t[27])/3 - (11*t[29])/6 - 3*t[30] + 4*t[31] + 
       (49*t[32])/3 - (8*t[33])/3 + (11*t[34])/3 + 2*t[35] - 6*t[36] - 
       t[37]/3 - (5*t[38])/3 - t[39]/3 - (19*t[40])/6 - (17*t[41])/3 + 
       (14*t[42])/3 - (49*t[43])/24 - (31*t[44])/4 + (23*t[45])/4 - 
       (11*t[46])/2 - (33*t[47])/2 + (179*t[48])/16 + (59*t[49])/6 - 
       (331*t[50])/48 - (7*t[51])/8 + (859*t[52])/48 - (91*t[53])/6 + 
       (2483*t[54])/48 - t[58] + (8*t[59])/3 + (4085*t[60])/24 + 
       (4489*t[61])/24 - (329*t[62])/48 + (1649*t[63])/48 - (2229*t[64])/16 - 
       (685*t[65])/8 - (5827*t[66])/72 + 2*t[67] + 8*t[68] + 7*t[69] + 
       (23*t[70])/3 - (23*t[71])/3 + 10*t[72] + 4*t[73] + 9*t[74] - 4*t[75] - 
       (56*t[76])/3 - (13*t[77])/3 + (131*t[78])/3 + 8*t[79] - 52*t[80] + 
       (73*t[81])/6 - (127*t[82])/6 + (2*t[83])/3 + (425*t[84])/8 + 
       (401*t[85])/24 - 39*t[86] - (1405*t[87])/24 - (111*t[88])/16 - 
       (887*t[89])/16 - 10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 
       172*t[99] - 380*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-3*t[1] - (113*t[2])/12 - (535*t[3])/6 + 
       (121*t[4])/6 - (1907*t[5])/24 + (2833*t[6])/48 + (305*t[7])/12 + 
       (259*t[8])/3 + (1027*t[9])/12 + (31*t[10])/24 + (1651*t[11])/48 + 
       (27*t[12])/2 + (6367*t[13])/216 + (14023*t[14])/144 + 
       (2291*t[15])/216 + 2*t[16] + 2*t[20] - (8*t[24])/3 + 8*t[25] - t[26] - 
       (7*t[27])/3 + 4*t[28] - (7*t[29])/3 - (10*t[30])/3 - 4*t[31] + 
       (53*t[32])/3 - (5*t[33])/3 - 9*t[34] + 5*t[36] - (31*t[37])/3 - 
       (14*t[38])/3 + (11*t[39])/3 + (11*t[40])/6 + (4*t[41])/3 - 
       (4*t[42])/3 - (19*t[43])/6 + (13*t[44])/6 + (43*t[45])/3 + 2*t[46] - 
       10*t[47] + (429*t[48])/16 - (149*t[49])/8 - (191*t[50])/16 + 
       (31*t[51])/6 + (109*t[52])/48 + (283*t[53])/24 + (867*t[54])/16 + 
       (37*t[59])/6 + (4889*t[60])/24 + (6529*t[61])/24 - (4117*t[62])/48 - 
       (3691*t[63])/48 - (3079*t[64])/48 - (1235*t[65])/72 - 
       (10045*t[66])/72 + 2*t[69] + (20*t[70])/3 - (26*t[71])/3 + 
       (23*t[72])/3 + 4*t[73] + 4*t[74] + 2*t[75] - (43*t[76])/3 + 
       (22*t[77])/3 + (110*t[78])/3 + (2*t[80])/3 + 8*t[81] - (79*t[82])/3 - 
       (37*t[83])/3 + (1429*t[84])/24 - (287*t[85])/24 - 26*t[86] - 
       (721*t[87])/24 + (245*t[88])/16 + (1375*t[89])/48 - 12*t[95] - 
       (26*t[96])/3 + 3*t[97] - 104*t[98] + 172*t[99] - 380*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((1237*t[2])/24 - (841*t[3])/12 + (1175*t[4])/24 - (401*t[5])/12 + 
       (551*t[6])/48 + (385*t[7])/12 + (1559*t[8])/12 + (2149*t[9])/24 - 
       (695*t[10])/48 + (3425*t[11])/48 - (379*t[12])/16 + (4253*t[13])/216 + 
       (12961*t[14])/288 - (2533*t[15])/108 + (5*t[17])/2 - 2*t[19] + 
       6*t[21] - 10*t[22] - 6*t[23] + (38*t[24])/3 + (7*t[27])/3 + 12*t[28] + 
       (35*t[29])/6 - (8*t[30])/3 - 12*t[31] + (52*t[32])/3 - (107*t[33])/6 + 
       8*t[34] - 12*t[35] + 12*t[36] + (34*t[37])/3 + (5*t[38])/3 + 
       (49*t[39])/3 + (7*t[40])/6 + (8*t[41])/3 - (8*t[42])/3 - 
       (83*t[43])/24 - (383*t[44])/12 + (265*t[45])/6 + (3*t[46])/2 - 
       50*t[47] + (483*t[48])/16 - (43*t[49])/16 - (529*t[50])/16 - 
       (319*t[51])/96 + (755*t[52])/48 + (385*t[53])/48 + (571*t[54])/16 + 
       t[55] - t[56] - 2*t[57] - (29*t[59])/3 + (1873*t[60])/24 + 
       (1253*t[61])/6 - (7781*t[62])/48 - (4781*t[63])/48 + (1387*t[64])/12 - 
       (2495*t[65])/36 - (9319*t[66])/36 - 5*t[68] - 8*t[69] - (8*t[70])/3 + 
       (8*t[71])/3 + (46*t[72])/3 + 17*t[74] + (173*t[76])/6 - (10*t[77])/3 - 
       (29*t[78])/3 + 4*t[79] - (143*t[80])/3 + (107*t[81])/4 - 
       (89*t[82])/12 - (8*t[83])/3 + (403*t[84])/12 - (691*t[85])/24 + 
       (117*t[86])/2 + (1555*t[87])/24 + (377*t[88])/16 + (235*t[89])/24 - 
       t[91]/6 - 6*t[95] + (38*t[96])/3 + 2*t[97] - 40*t[98] + 96*t[99] - 
       371*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*(16*t[1] - (247*t[2])/4 + 20*t[3] - 
       (799*t[4])/8 + (1771*t[5])/16 + (135*t[6])/8 + (965*t[7])/8 + 
       (861*t[8])/8 + (309*t[9])/16 - (849*t[10])/16 + (1267*t[11])/12 + 
       (817*t[12])/8 + (857*t[13])/36 + (8273*t[14])/96 + (275*t[15])/32 - 
       2*t[20] + 4*t[24] - 3*t[25] - 2*t[26] - 16*t[27] - 21*t[28] + 
       (21*t[29])/2 - 25*t[30] + 14*t[32] - 22*t[33] - 5*t[34] + 31*t[36] + 
       3*t[37] + (21*t[38])/2 + (45*t[39])/2 - (91*t[40])/6 + (19*t[41])/2 - 
       (19*t[42])/2 + (15*t[43])/2 + (49*t[44])/4 - 19*t[45] - (35*t[46])/2 + 
       20*t[47] + (35*t[48])/8 + (387*t[49])/16 - (547*t[50])/8 + 
       (221*t[51])/32 + (523*t[52])/8 + (309*t[53])/16 + (15*t[54])/4 + 
       (27*t[59])/2 + (481*t[60])/24 + (6677*t[61])/24 - (3193*t[62])/16 + 
       (169*t[63])/16 + (2087*t[64])/16 - (10439*t[65])/72 - 
       (3299*t[66])/24 - 2*t[70] + 2*t[71] - 12*t[73] - 19*t[74] - 22*t[75] + 
       90*t[76] - (8*t[77])/3 - 151*t[78] + 32*t[79] + 76*t[80] - 
       (73*t[81])/2 + (67*t[82])/2 - 30*t[83] - (1085*t[84])/8 - 
       (703*t[85])/8 + 30*t[86] + (131*t[87])/8 - (29*t[88])/16 - 
       (1967*t[89])/16 + 14*t[95] + 67*t[96] + 48*t[97] + 636*t[98] - 
       612*t[99] - 369*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((13*t[1])/4 + (21*t[2])/4 + 
       (1297*t[3])/24 + (461*t[4])/8 - (271*t[5])/6 + (1129*t[6])/48 - 
       (304*t[7])/3 - (407*t[8])/3 - (1645*t[9])/24 - (4771*t[10])/48 - 
       (459*t[11])/16 - (3787*t[12])/48 - (283*t[13])/108 - 
       (30731*t[14])/288 - (6407*t[15])/144 + (17*t[19])/9 + 12*t[20] - 
       3*t[21] + 3*t[23] + 2*t[24] - (22*t[25])/3 - (16*t[26])/3 + 11*t[27] - 
       38*t[28] - (61*t[29])/3 + (41*t[30])/2 - 2*t[31] - (5*t[32])/3 + 
       (59*t[33])/6 - (107*t[34])/6 + 7*t[35] - (109*t[36])/3 - 8*t[37] + 
       (49*t[38])/3 - (13*t[39])/2 + (25*t[40])/3 - (83*t[41])/12 + 
       (83*t[42])/12 - 6*t[43] + (125*t[44])/3 + (128*t[45])/3 + 
       (64*t[46])/3 - (182*t[47])/3 - (17*t[48])/48 - (1321*t[49])/48 + 
       (557*t[50])/16 + (409*t[51])/96 - (2191*t[52])/48 + (1273*t[53])/48 + 
       (1475*t[54])/48 + t[55]/2 - (5*t[58])/3 - (41*t[59])/2 - 
       (691*t[60])/12 - (225*t[61])/4 + (1313*t[62])/8 - (155*t[63])/24 - 
       (3941*t[64])/24 - (839*t[65])/36 - (2453*t[66])/36 + 10*t[68] - 
       5*t[69] + t[70] - t[71] - 9*t[72] + 8*t[73] - t[74]/3 - 20*t[75] - 
       (89*t[76])/2 + (19*t[77])/3 + (63*t[78])/2 + 57*t[79] - 
       (230*t[80])/3 + (35*t[81])/2 - (107*t[82])/6 + 87*t[83] + 
       (249*t[84])/4 + (316*t[85])/3 - (226*t[86])/3 + t[87] - (53*t[88])/3 + 
       (229*t[89])/24 - (32*t[95])/3 - 25*t[96] - 26*t[97] - 188*t[98] + 
       308*t[99] - 357*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((61*t[1])/12 + (53*t[2])/4 - 
       (205*t[3])/24 - (469*t[4])/6 + (293*t[5])/16 - (1091*t[6])/16 + 
       (2327*t[7])/24 - (1471*t[8])/24 - (2009*t[9])/48 - (2029*t[10])/12 + 
       (5999*t[11])/48 - (1633*t[12])/48 + (23981*t[13])/216 - 
       (391*t[14])/16 + (14779*t[15])/288 + (11*t[18])/3 + 2*t[19] - 
       8*t[20] + (10*t[21])/3 - (40*t[22])/3 - (13*t[23])/3 - (8*t[24])/3 - 
       (2*t[25])/3 - 6*t[26] + (35*t[27])/3 - 13*t[28] - (149*t[29])/6 + 
       (14*t[30])/3 + 3*t[31] - (7*t[32])/6 + (2*t[33])/3 - (89*t[34])/6 - 
       22*t[35] + 21*t[36] - 12*t[37] + (25*t[38])/2 - (55*t[39])/3 + 
       (59*t[40])/2 + (15*t[41])/4 - (7*t[42])/12 + (187*t[43])/12 + 
       (191*t[44])/3 + (79*t[45])/3 + (19*t[46])/6 - (40*t[47])/3 - 
       (1117*t[48])/16 - (1123*t[49])/24 + (2881*t[50])/48 + 
       (1297*t[51])/48 - (4505*t[52])/48 + (643*t[53])/24 - (337*t[54])/48 + 
       t[56]/3 + (4*t[57])/3 + t[58] - (149*t[59])/12 + (4267*t[60])/24 + 
       (6871*t[61])/24 - (5269*t[62])/48 - (187*t[63])/48 + (1437*t[64])/16 + 
       (1801*t[65])/8 - (23057*t[66])/72 - 4*t[68] - 7*t[69] - (13*t[70])/3 + 
       (13*t[71])/3 - 25*t[72] + 16*t[73] - 10*t[74] - 50*t[75] - 
       (51*t[76])/2 - (13*t[77])/2 + 53*t[78] + 20*t[79] + 121*t[80] + 
       (109*t[81])/6 + t[82] + 17*t[83] + (845*t[84])/8 + (1355*t[85])/24 + 
       113*t[86] + (1147*t[87])/24 + (1507*t[88])/48 + (1565*t[89])/48 - 
       16*t[95] - (94*t[96])/3 - (127*t[97])/6 - 188*t[98] + 308*t[99] - 
       357*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[u, v, w]*
      ((-32*t[1])/3 + (128*t[2])/3 - (128*t[3])/3 - (272*t[4])/3 + 
       (476*t[5])/9 - (212*t[6])/9 + (488*t[7])/3 - (1384*t[8])/9 + 
       (668*t[9])/9 - (224*t[10])/9 + (1132*t[11])/9 + (748*t[12])/9 - 
       (128*t[13])/9 + (556*t[14])/3 + (5078*t[15])/81 - (160*t[28])/9 - 
       (200*t[29])/9 - (200*t[30])/9 + (64*t[31])/3 - (232*t[32])/9 + 
       (8*t[33])/3 + (640*t[34])/9 + (128*t[35])/3 - (64*t[38])/3 - 
       32*t[40] + (424*t[44])/9 - (224*t[45])/3 + (160*t[47])/3 - 
       (548*t[48])/9 + 40*t[49] + 68*t[50] - (92*t[51])/3 - 4*t[52] - 
       40*t[53] - (836*t[54])/9 - (16*t[59])/9 - (776*t[60])/9 + 
       (1160*t[61])/9 - (1300*t[62])/9 + (3980*t[63])/9 + 20*t[64] - 
       (2488*t[65])/27 - (296*t[66])/3 + (64*t[72])/3 + (32*t[73])/3 - 
       (64*t[74])/9 - (160*t[75])/3 + (224*t[76])/3 - (128*t[78])/3 - 
       (32*t[79])/3 + 64*t[80] + (128*t[81])/9 + (64*t[82])/9 + 
       (736*t[83])/9 - (680*t[84])/9 + (136*t[85])/9 + (800*t[86])/9 - 
       (488*t[87])/3 - (796*t[88])/9 - (2300*t[89])/9 + (128*t[95])/9 + 
       (32*t[97])/3 + 512*t[98] - 512*t[99] - (1024*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((57*t[1])/8 + (171*t[2])/4 - (455*t[3])/8 - (679*t[4])/16 - 
       (551*t[5])/16 + (1155*t[6])/32 + (2611*t[7])/16 - (891*t[8])/16 + 
       (2621*t[9])/16 - (4421*t[10])/32 + (1639*t[11])/32 + (743*t[12])/32 - 
       (2725*t[13])/96 + (20819*t[14])/192 - (197*t[15])/36 - (9*t[16])/4 + 
       t[17]/2 - 2*t[19] - 15*t[20] - 2*t[21] + 3*t[22] + 2*t[23] + 8*t[24] - 
       (23*t[25])/2 - (5*t[26])/4 - 4*t[27] - 7*t[28] + t[29] - 8*t[30] + 
       7*t[31] + (17*t[32])/4 - 13*t[33] + (47*t[34])/4 - 9*t[35] + 
       (23*t[36])/2 + (9*t[37])/2 + (5*t[38])/2 + (75*t[39])/4 - 
       (47*t[40])/2 + (11*t[41])/8 - (11*t[42])/8 - (181*t[43])/16 + 
       4*t[44] - (107*t[45])/8 + (7*t[46])/4 - t[47] - (1093*t[48])/32 + 
       (479*t[49])/32 + (31*t[50])/32 - (509*t[51])/64 + (857*t[52])/32 - 
       (151*t[53])/32 + (95*t[54])/32 - t[55]/4 + t[56]/2 + t[57] + 
       (7*t[58])/4 - (45*t[59])/8 + (45*t[60])/2 + (841*t[61])/8 - 
       (1919*t[62])/16 + (1843*t[63])/16 + (303*t[64])/16 - (4549*t[65])/24 - 
       (785*t[66])/8 + t[68]/2 - 7*t[69] + 3*t[72] + (75*t[74])/2 - 
       20*t[75] + (133*t[76])/4 - 2*t[77] - (129*t[78])/2 - 2*t[79] - 
       (77*t[80])/2 + (63*t[81])/4 + (39*t[82])/4 + (55*t[83])/2 - 
       (273*t[84])/8 + (89*t[85])/8 + 45*t[86] - (731*t[87])/8 - 
       (759*t[88])/16 - (449*t[89])/4 - 2*t[93] + 9*t[95] + 12*t[96] + 
       (35*t[97])/4 + 180*t[98] - 172*t[99] - 323*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((93*t[1])/8 - (111*t[2])/8 - (279*t[3])/8 + (155*t[4])/4 - 
       (3229*t[5])/32 + (1715*t[6])/32 + (1489*t[7])/16 + (1663*t[8])/16 + 
       (5547*t[9])/32 + (57*t[10])/8 + (6061*t[11])/32 + (1635*t[12])/32 + 
       (20815*t[13])/288 + (416*t[14])/3 - (1973*t[15])/576 + (5*t[16])/4 - 
       (3*t[17])/4 + 5*t[18] + t[20] + t[21] - 2*t[22] - t[23] - t[24] - 
       11*t[25] + 4*t[26] - 14*t[27] - 7*t[28] - (45*t[29])/4 + 5*t[30] + 
       4*t[31] - (3*t[32])/4 - 5*t[33] - (5*t[34])/4 + 7*t[35] - 
       (23*t[36])/2 - 15*t[37] + (3*t[38])/2 + (35*t[39])/2 - (119*t[40])/4 + 
       (41*t[41])/8 - (37*t[42])/8 + 4*t[43] + (211*t[44])/8 - 
       (103*t[45])/8 - (21*t[46])/4 + (65*t[47])/2 - (1321*t[48])/32 + 
       (203*t[49])/16 - (285*t[50])/32 + (11*t[51])/16 + (901*t[52])/32 + 
       (37*t[53])/16 - (435*t[54])/32 + t[55]/4 + 2*t[58] + (21*t[59])/8 + 
       (3193*t[60])/16 + (5155*t[61])/16 - (8861*t[62])/32 - 
       (2655*t[63])/32 - (1197*t[64])/32 - (6689*t[65])/48 - 
       (14263*t[66])/48 + t[67]/2 + (13*t[68])/2 - 7*t[69] - 5*t[70] + 
       5*t[71] - 6*t[72] - 12*t[73] - (11*t[74])/2 + 4*t[75] + (33*t[76])/2 + 
       7*t[77] - (93*t[78])/4 - 4*t[79] + (113*t[80])/2 + 24*t[81] - 
       (63*t[82])/2 + (49*t[83])/2 - (171*t[84])/16 - (561*t[85])/16 + 
       (353*t[86])/4 - (1755*t[87])/16 - (1651*t[88])/32 - (411*t[89])/32 + 
       t[91]/12 + t[92]/2 - t[93] - t[94]/2 + 5*t[95] + 20*t[96] + 
       (55*t[97])/4 + 180*t[98] - 172*t[99] - 323*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[v, w, u]*((-32*t[1])/3 + 
       (8*t[2])/3 - 106*t[3] - 96*t[4] - (56*t[5])/3 + 94*t[6] + 
       (332*t[7])/3 + (356*t[8])/3 + (320*t[9])/3 - (40*t[10])/3 - 
       (2*t[11])/3 + (236*t[12])/3 - (134*t[13])/3 + (638*t[14])/3 + 
       (1961*t[15])/27 - (160*t[28])/3 - (88*t[30])/3 + (64*t[31])/3 - 
       24*t[32] - (8*t[33])/3 + (208*t[34])/3 + (128*t[35])/3 - 
       (64*t[38])/3 - 32*t[40] + (16*t[44])/3 - (224*t[45])/3 + 
       (160*t[47])/3 + (10*t[48])/3 + (112*t[49])/3 + (82*t[50])/3 - 
       (88*t[51])/3 + (110*t[52])/3 - (112*t[53])/3 + 30*t[54] + 
       (40*t[59])/3 - 44*t[60] + 92*t[61] - (170*t[62])/3 + (1066*t[63])/3 - 
       30*t[64] - (320*t[65])/9 + (848*t[66])/9 + (64*t[72])/3 - 
       (32*t[73])/3 - 32*t[75] + (224*t[76])/3 - (128*t[78])/3 + 
       (32*t[79])/3 + 64*t[80] + (32*t[81])/3 + (32*t[82])/3 + 96*t[83] - 
       (112*t[84])/3 + 48*t[85] + (160*t[86])/3 - (440*t[87])/3 - 
       (212*t[88])/3 - (406*t[89])/3 + (32*t[97])/3 + 512*t[98] - 512*t[99] - 
       320*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[w, u, v]*
      ((-32*t[1])/3 + (56*t[2])/3 - (430*t[3])/3 - (304*t[4])/3 - 
       (644*t[5])/9 + (1406*t[6])/9 + 108*t[7] + (2356*t[8])/9 + 
       (1996*t[9])/9 - (40*t[10])/9 - (622*t[11])/9 + (680*t[12])/9 - 
       (158*t[13])/3 + (2618*t[14])/9 + (5041*t[15])/81 - (128*t[28])/9 + 
       (200*t[29])/9 - (400*t[30])/9 + (64*t[31])/3 - (80*t[32])/9 + 
       (752*t[34])/9 + (128*t[35])/3 - (64*t[38])/3 - 32*t[40] - 
       (568*t[44])/9 - (224*t[45])/3 + (160*t[47])/3 + (182*t[48])/9 + 
       (104*t[49])/3 + 6*t[50] - 28*t[51] + 58*t[52] - (104*t[53])/3 + 
       (878*t[54])/9 + (88*t[59])/9 + (1124*t[60])/9 + (460*t[61])/9 + 
       (10*t[62])/9 + (1918*t[63])/9 - 134*t[64] - (1712*t[65])/27 + 
       (896*t[66])/9 + (64*t[72])/3 + (64*t[74])/9 - (128*t[75])/3 + 
       (224*t[76])/3 - (128*t[78])/3 + 64*t[80] + (64*t[81])/9 + 
       (128*t[82])/9 + (704*t[83])/9 + (80*t[84])/9 + (800*t[85])/9 + 
       (256*t[86])/9 - 232*t[87] - (1004*t[88])/9 - (586*t[89])/9 - 
       (128*t[95])/9 + (32*t[97])/3 + 512*t[98] - 512*t[99] - 
       (896*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((-5*t[1])/2 - 7*t[2] + 25*t[3] + 29*t[4] + 
       (117*t[5])/4 + (225*t[6])/8 + (111*t[7])/4 + (9*t[8])/4 + 
       (31*t[9])/4 - (125*t[10])/2 + (437*t[11])/8 - (11*t[12])/2 + 
       (2245*t[13])/72 + (34*t[14])/3 + (89*t[15])/24 - 20*t[20] - 20*t[28] - 
       4*t[29] + 2*t[30] - 4*t[31] - 15*t[32] + 2*t[33] + 7*t[34] + 4*t[35] - 
       2*t[36] - 2*t[37] - 2*t[38] + 4*t[39] - t[40] - (9*t[41])/2 + 
       (9*t[42])/2 - (23*t[43])/4 + 10*t[44] - 13*t[45] - 2*t[46] + 
       12*t[47] - (239*t[48])/8 + (65*t[49])/4 - (11*t[50])/8 - 
       (61*t[51])/8 + (19*t[52])/8 - (65*t[53])/4 - (325*t[54])/8 + 4*t[57] - 
       5*t[59] - (33*t[60])/4 + (93*t[61])/4 + (247*t[62])/8 + 
       (441*t[63])/8 - (25*t[64])/8 - (551*t[65])/12 - (137*t[66])/4 - 
       4*t[70] + 4*t[71] - 12*t[72] + 16*t[73] - 2*t[74] - 32*t[75] + 
       17*t[76] - 10*t[77] - 26*t[78] + 4*t[79] + 8*t[80] + 10*t[81] - 
       5*t[82] - 4*t[83] - (27*t[84])/4 + (115*t[85])/4 + 45*t[86] - 
       (135*t[87])/4 - (287*t[88])/8 - (403*t[89])/8 - 2*t[93] + 4*t[95] + 
       4*t[96] - 2*t[97] + 96*t[98] - 8*t[99] - 288*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (t[1]/2 + 28*t[2] + (3*t[3])/4 + 66*t[4] - (115*t[5])/4 - 
       (119*t[6])/8 + (171*t[7])/2 - 49*t[8] + 55*t[9] - (81*t[10])/2 + 
       (1023*t[11])/8 + (75*t[12])/4 + (3133*t[13])/36 + (1741*t[14])/24 + 
       (407*t[15])/24 + t[17] - 2*t[19] + 2*t[20] - 2*t[21] - 2*t[22] + 
       2*t[23] - 4*t[27] + 12*t[28] - 11*t[29] + 6*t[30] - 2*t[31] - 
       25*t[32] + 10*t[33] + t[34] - 8*t[35] + 2*t[36] - 4*t[37] + t[38] + 
       7*t[39] + 3*t[40] - t[41]/2 + t[42]/2 + (23*t[44])/2 - 8*t[45] - 
       t[46] + 14*t[47] - (133*t[48])/8 - t[49]/2 + (111*t[50])/8 + t[51] - 
       (183*t[52])/8 + (9*t[53])/2 - (299*t[54])/8 - 2*t[55] - t[59]/2 + 
       (373*t[60])/4 + (741*t[61])/4 - (347*t[62])/8 - (213*t[63])/8 - 
       (1371*t[64])/8 - (437*t[65])/12 - (827*t[66])/4 - 2*t[68] + 4*t[69] - 
       4*t[70] + 4*t[71] + 18*t[73] - 2*t[74] - 50*t[75] + 13*t[76] + 
       8*t[77] + t[78] + 8*t[80] + 21*t[81] - 29*t[82] + 10*t[83] + 
       (55*t[84])/4 + (9*t[85])/4 + 8*t[86] - (101*t[87])/4 - (253*t[88])/8 + 
       (17*t[89])/8 + 4*t[95] + 10*t[96] + t[97] + 96*t[98] - 8*t[99] - 
       288*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-3*t[1])/2 + (73*t[2])/3 - (209*t[3])/3 + 
       (295*t[4])/6 - (190*t[5])/3 + (503*t[6])/24 + (139*t[7])/6 + 
       (217*t[8])/3 + (991*t[9])/12 + (125*t[10])/12 + (1613*t[11])/24 - 
       t[12]/4 + (1637*t[13])/108 + (2623*t[14])/36 - (673*t[15])/216 + 
       2*t[18] - 2*t[19] + 4*t[20] + 2*t[21] - 2*t[22] - (14*t[24])/3 + 
       (2*t[27])/3 + 4*t[28] + (14*t[29])/3 + (38*t[30])/3 - 10*t[31] + 
       (44*t[32])/3 - (68*t[33])/3 - 3*t[34] - 8*t[35] + 8*t[36] + 
       (20*t[37])/3 + (4*t[38])/3 + (17*t[39])/3 + (13*t[40])/3 - t[41]/6 - 
       (5*t[42])/6 - (8*t[43])/3 - (4*t[44])/3 + (76*t[45])/3 + 2*t[46] - 
       20*t[47] + (123*t[48])/8 - (53*t[49])/4 - (49*t[50])/8 + 
       (79*t[51])/24 - (229*t[52])/24 + (143*t[53])/12 + (233*t[54])/8 - 
       (11*t[59])/6 + (1495*t[60])/12 + (2621*t[61])/12 - (1757*t[62])/24 - 
       (1163*t[63])/24 - (611*t[64])/24 + (143*t[65])/36 - (5687*t[66])/36 - 
       2*t[69] - (10*t[70])/3 + (10*t[71])/3 + (8*t[72])/3 + 8*t[73] - 
       2*t[74] - 8*t[75] - (16*t[76])/3 - (20*t[77])/3 + (137*t[78])/3 - 
       (178*t[80])/3 + 32*t[81] - (97*t[82])/3 - (16*t[83])/3 + 
       (611*t[84])/12 - (271*t[85])/12 - 12*t[86] + (463*t[87])/12 + 
       (125*t[88])/8 + (689*t[89])/24 - 4*t[95] - (2*t[96])/3 - 3*t[97] - 
       104*t[98] + 168*t[99] - 282*t[100]) + HPL[{0, 1}, 1 - w]*Qep[v, u, w]*
      (16*t[1] + (368*t[2])/3 - (1388*t[3])/3 - (200*t[4])/3 - (836*t[5])/3 + 
       (1163*t[6])/3 - (352*t[7])/3 + 844*t[8] + 250*t[9] + 28*t[10] - 
       (1067*t[11])/3 - 100*t[12] - (4084*t[13])/27 + 207*t[14] + 
       (863*t[15])/27 + (64*t[27])/3 - (16*t[29])/3 - (32*t[30])/3 - 
       (64*t[31])/3 + (344*t[32])/3 + 32*t[33] - (32*t[34])/3 - 
       (160*t[36])/3 - (64*t[37])/3 - (64*t[39])/3 - (8*t[40])/3 - 
       (16*t[41])/3 + (16*t[42])/3 + (8*t[44])/3 + 96*t[45] + 16*t[46] - 
       (352*t[47])/3 + 159*t[48] - (148*t[49])/3 + (25*t[50])/3 + 
       (70*t[51])/3 + (71*t[52])/3 + (20*t[53])/3 + (1051*t[54])/3 - 
       (32*t[59])/3 + 734*t[60] + (326*t[61])/3 + 151*t[62] - 
       (1829*t[63])/3 - (1705*t[64])/3 + (682*t[65])/3 + (1010*t[66])/9 + 
       (128*t[70])/3 - (128*t[71])/3 + (128*t[72])/3 + (160*t[73])/3 + 
       32*t[74] - (160*t[75])/3 - (320*t[76])/3 + (64*t[77])/3 + 
       (352*t[78])/3 + (256*t[79])/3 - 64*t[80] - 32*t[82] - (160*t[83])/3 + 
       (1030*t[84])/3 + 178*t[85] - 64*t[86] - 42*t[87] + (545*t[88])/3 + 
       (839*t[89])/3 - (256*t[95])/3 - (320*t[96])/3 - (64*t[97])/3 - 
       768*t[98] + 768*t[99] - 256*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((3*t[1])/2 + (613*t[2])/12 - 
       (2947*t[3])/24 + (46*t[4])/3 - (55*t[5])/2 + (100*t[6])/3 + 
       (139*t[7])/4 + 59*t[8] + (521*t[9])/12 + (61*t[10])/12 + 
       (283*t[11])/6 + (38*t[12])/3 + (1855*t[13])/72 + (5881*t[14])/36 + 
       (9161*t[15])/432 + (3*t[17])/2 - (20*t[20])/3 + (20*t[28])/3 - 
       (245*t[29])/6 + t[30]/2 - (55*t[32])/3 + (169*t[33])/6 - 
       (29*t[34])/3 - 22*t[35] - 3*t[37] + 6*t[39] - 6*t[40] + 6*t[41] - 
       6*t[42] - (3*t[43])/2 + (133*t[44])/4 + 6*t[45] - 9*t[47] + 
       (23*t[48])/6 - (23*t[49])/3 + (161*t[50])/12 + (23*t[51])/6 - 
       (53*t[52])/12 + (23*t[53])/3 + (11*t[54])/3 - 3*t[55] - 4*t[59] + 
       (861*t[60])/4 + (749*t[61])/3 - (133*t[62])/2 - (212*t[63])/3 - 
       (1771*t[64])/12 - (116*t[65])/3 - 178*t[66] - 3*t[68] + 6*t[70] - 
       6*t[71] + 18*t[72] + 27*t[73] + 8*t[74] - 105*t[75] - 12*t[76] + 
       3*t[77] + 18*t[78] - 7*t[79] - 6*t[80] + (17*t[81])/2 - (59*t[82])/2 + 
       (106*t[83])/3 + (317*t[84])/6 + (149*t[85])/12 - (163*t[86])/3 - 
       28*t[87] + 13*t[88] + (69*t[89])/2 - 6*t[95] - 6*t[96] + 3*t[97] - 
       72*t[98] + 108*t[99] - 250*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((3*t[1])/2 + 12*t[2] - (807*t[3])/8 - 
       (33*t[4])/4 - (1331*t[5])/24 + (83*t[6])/3 + (1081*t[7])/12 + 
       (457*t[8])/6 + (439*t[9])/8 + (173*t[10])/24 + (27*t[11])/2 + 
       (137*t[12])/6 - (135*t[13])/8 + (13639*t[14])/144 + (7051*t[15])/216 + 
       (3*t[17])/2 - 60*t[20] - 6*t[24] + 6*t[27] - (163*t[28])/3 - 
       (57*t[29])/4 + 28*t[30] - 6*t[31] + (33*t[32])/2 - 3*t[34] - 3*t[37] - 
       6*t[40] + 3*t[41] - 3*t[42] - (3*t[43])/2 + (92*t[44])/3 + 6*t[45] + 
       3*t[46] - 9*t[47] - (94*t[48])/3 - (81*t[49])/8 + (415*t[50])/12 + 
       (45*t[51])/16 - (307*t[52])/12 + (81*t[53])/8 + (359*t[54])/12 + 
       (9*t[59])/2 + (58*t[60])/3 + 236*t[61] - (1157*t[62])/12 + 
       (1267*t[63])/12 - (547*t[64])/6 + (92*t[65])/9 + (230*t[66])/9 - 
       3*t[68] + 6*t[70] - 6*t[71] - 36*t[72] + 27*t[73] + 3*t[74] - 
       105*t[75] - 12*t[76] + 3*t[77] + 18*t[78] + 17*t[79] - 6*t[80] + 
       3*t[82] + (214*t[83])/3 + (33*t[84])/2 + (53*t[86])/3 + 
       (605*t[87])/12 + (1253*t[88])/24 - (87*t[89])/8 - 6*t[93] - 6*t[95] - 
       6*t[96] + 3*t[97] - 72*t[98] + 108*t[99] - 250*t[100]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*((-17*t[1])/2 + 
       (2741*t[2])/72 - (8401*t[3])/288 + (2857*t[4])/72 - (2489*t[5])/72 - 
       (1775*t[6])/576 + (563*t[7])/144 - (653*t[8])/36 + (15395*t[9])/288 - 
       (3457*t[10])/144 + (37423*t[11])/576 + (407*t[12])/48 + 
       (118291*t[13])/2592 + (78937*t[14])/1728 - (47071*t[15])/2592 - 
       (14*t[24])/9 + 2*t[25] - (4*t[27])/9 + (5*t[28])/2 + (97*t[29])/72 + 
       (2*t[30])/9 - (19*t[31])/3 - (151*t[32])/36 - (113*t[33])/9 + 
       (95*t[34])/6 - 5*t[35] + (26*t[36])/3 + (37*t[37])/18 - 
       (73*t[38])/18 + (62*t[39])/9 - (67*t[40])/72 - (41*t[41])/36 + 
       (41*t[42])/36 - (77*t[43])/36 - (505*t[44])/144 + (155*t[45])/18 + 
       (37*t[46])/12 - 8*t[47] - (4399*t[48])/192 - (413*t[49])/48 - 
       (2387*t[50])/192 - (191*t[51])/288 + (1081*t[52])/576 + 
       (791*t[53])/144 - (533*t[54])/192 - (131*t[59])/18 + 
       (30731*t[60])/288 + (21427*t[61])/288 + (2657*t[62])/576 - 
       (30073*t[63])/576 - (8857*t[64])/576 - (22625*t[65])/864 - 
       (187459*t[66])/864 - (49*t[70])/9 + (49*t[71])/9 + (47*t[72])/9 + 
       (37*t[73])/3 - t[74]/2 - (37*t[75])/3 + (187*t[76])/18 - 
       (157*t[77])/18 + (167*t[78])/9 - (376*t[80])/9 + (487*t[81])/12 - 
       (853*t[82])/36 - (179*t[83])/18 + (14503*t[84])/288 + 
       (5107*t[85])/288 - (59*t[86])/3 + (2861*t[87])/288 - 
       (3697*t[88])/192 - (2723*t[89])/576 + (7*t[95])/3 + (7*t[96])/9 - 
       (13*t[97])/2 - (26*t[98])/3 + 60*t[99] - 245*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (6*t[1] - (27*t[2])/2 + (171*t[3])/8 + 30*t[4] + 106*t[5] + 
       (49*t[6])/2 - (399*t[7])/4 + (871*t[8])/4 - (449*t[9])/4 + 
       (91*t[10])/2 + 134*t[11] + (251*t[12])/4 + (1247*t[13])/24 - 
       (21*t[14])/4 + (2893*t[15])/144 + 34*t[28] + (43*t[29])/2 - 
       (5*t[30])/2 + 12*t[31] + 13*t[32] - (15*t[33])/2 + 11*t[34] + 
       24*t[35] - 6*t[38] + 18*t[39] - 30*t[40] + 6*t[41] - 6*t[42] - 
       (41*t[44])/2 - 42*t[45] + 42*t[47] + (317*t[48])/4 + 48*t[49] - 
       (297*t[50])/4 - 27*t[51] + (393*t[52])/4 - 24*t[53] - (71*t[54])/2 + 
       (11*t[59])/2 - 139*t[60] + 118*t[61] - (181*t[62])/2 + 22*t[63] + 
       (1329*t[64])/4 - (467*t[65])/12 - (359*t[66])/4 + 12*t[72] + 
       18*t[73] - 20*t[74] + 42*t[75] + 90*t[76] + 12*t[77] - 84*t[78] - 
       18*t[79] + 60*t[80] + 4*t[81] - 16*t[82] - 28*t[83] - (619*t[84])/4 - 
       (367*t[85])/4 + 22*t[86] + (21*t[87])/4 - (103*t[88])/8 - 82*t[89] + 
       40*t[95] + 36*t[96] + 30*t[97] + 576*t[98] - 576*t[99] - 240*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-81*t[2])/8 + (189*t[3])/4 + (85*t[4])/4 + (57*t[5])/16 - 
       (461*t[6])/16 + (359*t[7])/4 - (213*t[8])/4 + (503*t[9])/16 - 
       (357*t[10])/8 + (1483*t[11])/16 + (207*t[12])/16 + (145*t[13])/8 - 
       (765*t[14])/16 - (561*t[15])/32 - 8*t[28] + (75*t[29])/2 - 
       (45*t[30])/2 + (55*t[32])/4 - (15*t[33])/2 - 18*t[34] + 
       (115*t[44])/4 + (165*t[48])/16 - (7*t[49])/8 + (393*t[50])/16 + 
       (7*t[51])/16 - (393*t[52])/16 + (7*t[53])/8 - (797*t[54])/16 + 
       3*t[59] + 18*t[60] + (465*t[61])/8 - (209*t[62])/2 + (171*t[63])/8 + 
       (115*t[64])/16 - (33*t[65])/8 - (2101*t[66])/24 + 24*t[73] - 
       32*t[75] + 10*t[79] - (7*t[81])/4 + (7*t[82])/4 - 46*t[83] - t[84]/8 - 
       t[85]/4 + 82*t[86] - 64*t[87] - (49*t[88])/2 - (921*t[89])/16 + 
       24*t[99] - 237*t[100]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((277*t[2])/8 + (5*t[3])/8 + (79*t[4])/2 + 
       (1027*t[5])/16 + (233*t[6])/16 - (207*t[7])/2 + 22*t[8] + 
       (21*t[9])/16 - (57*t[10])/4 + (1397*t[11])/16 + (3*t[12])/16 + 
       (505*t[13])/6 - (269*t[14])/24 + (827*t[15])/32 + 2*t[18] - 12*t[20] + 
       18*t[22] + 18*t[28] + 10*t[29] - (45*t[30])/2 - (75*t[32])/4 - 
       (9*t[33])/2 - 32*t[35] - 6*t[37] - 3*t[41] + 3*t[42] - 30*t[44] - 
       6*t[47] + (459*t[48])/16 - (13*t[49])/4 - (441*t[50])/16 + 
       (13*t[51])/8 + (441*t[52])/16 + (13*t[53])/4 - (139*t[54])/16 - 
       t[59]/2 + 57*t[60] + (659*t[61])/8 + (21*t[62])/8 - (447*t[63])/4 - 
       (1703*t[64])/16 + (83*t[65])/8 - (5201*t[66])/24 - (5*t[67])/2 - 
       18*t[69] + 12*t[70] - 12*t[71] + 24*t[73] + 27*t[74] - 38*t[75] + 
       22*t[79] + 6*t[80] + (11*t[81])/4 - (11*t[82])/4 - 48*t[83] + 
       (67*t[84])/8 - 20*t[85] - 34*t[86] - (245*t[87])/4 - (185*t[88])/8 - 
       (429*t[89])/16 + 24*t[99] - 237*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-3*t[1])/4 - (281*t[2])/8 - 41*t[3] + (97*t[4])/4 - (1285*t[5])/16 + 
       (203*t[6])/16 + (1709*t[7])/16 + (2161*t[8])/16 + (681*t[9])/4 - 
       (93*t[10])/16 + (327*t[11])/2 + (853*t[12])/16 + (5309*t[13])/96 + 
       (421*t[14])/4 - (31*t[15])/6 - 2*t[16] - t[17] + 23*t[18] + 2*t[19] - 
       5*t[20] + 19*t[21] + t[22] - 33*t[23] + (41*t[24])/2 + (7*t[25])/2 - 
       (7*t[26])/2 - (3*t[27])/2 + 2*t[29] - 2*t[30] - 5*t[31] + 3*t[32] - 
       (11*t[33])/2 - (7*t[34])/2 - 4*t[36] + t[38]/2 + (11*t[39])/2 - 
       3*t[40] + (73*t[41])/4 - (7*t[42])/4 - (595*t[43])/16 + 2*t[44] - 
       (85*t[45])/8 - (7*t[46])/2 + (169*t[47])/4 - 13*t[48] + (39*t[49])/8 - 
       (5*t[50])/2 + (19*t[51])/16 + 5*t[52] - (39*t[53])/8 + (15*t[54])/4 + 
       t[58]/2 - 11*t[59] + (1231*t[60])/8 + (2617*t[61])/8 - 
       (3773*t[62])/16 - (587*t[63])/16 + (843*t[64])/16 + (233*t[65])/3 - 
       (593*t[66])/2 + (9*t[67])/4 + (15*t[68])/2 - t[69] - 23*t[70] + 
       23*t[71] + 4*t[72] - (13*t[74])/2 + 7*t[76] - 5*t[77] + 17*t[78] + 
       12*t[80] + (111*t[81])/4 - (103*t[82])/4 - 12*t[83] + (37*t[84])/2 + 
       (125*t[85])/8 + (127*t[86])/2 - (705*t[87])/8 - (705*t[88])/16 + 
       (11*t[89])/16 + t[90]/2 - t[94] + 24*t[98] + 30*t[99] - 222*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((69*t[1])/4 + (21*t[2])/8 - (77*t[3])/4 - (219*t[4])/2 - 
       (545*t[5])/16 + (187*t[6])/16 + (171*t[7])/4 + (203*t[8])/8 + 
       (1119*t[9])/16 + (97*t[10])/16 + (169*t[11])/16 - (133*t[12])/8 - 
       (4357*t[13])/72 + (1139*t[14])/24 + (349*t[15])/32 - t[16]/2 - 
       12*t[25] - (7*t[26])/2 - 4*t[27] - 2*t[30] - 6*t[31] + (9*t[36])/2 + 
       (29*t[38])/2 + t[39]/2 - t[40]/2 - 2*t[43] + 2*t[44] + (7*t[45])/2 + 
       (105*t[46])/4 - 7*t[47] + (75*t[48])/16 - (141*t[49])/16 - 
       (133*t[50])/16 - (43*t[51])/16 + (165*t[52])/16 + (745*t[53])/16 + 
       (865*t[54])/16 - (29*t[59])/2 - (189*t[60])/4 + 93*t[61] - 
       (501*t[62])/16 + (1077*t[63])/16 + (223*t[64])/2 - (1823*t[65])/24 - 
       (737*t[66])/8 + (5*t[67])/4 + (3*t[68])/4 - t[69] + 9*t[72] - 
       3*t[74] + (3*t[76])/2 - (3*t[77])/2 + 6*t[78] + 8*t[80] + 
       (27*t[81])/2 - (33*t[82])/2 - 2*t[83] - (277*t[84])/8 - 
       (321*t[85])/8 + t[86] + (327*t[87])/8 - (713*t[88])/16 - 
       (953*t[89])/16 + (5*t[90])/4 + 11*t[95] + 10*t[96] - t[97] + 
       24*t[98] + 30*t[99] - 222*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-2*t[1] + (67*t[2])/2 - (455*t[3])/4 + 
       (59*t[4])/2 - 60*t[5] + (211*t[6])/4 + 23*t[7] + 143*t[8] + 103*t[9] + 
       (43*t[10])/4 + (111*t[11])/4 + (45*t[12])/4 + (163*t[13])/36 + 
       (775*t[14])/8 - (223*t[15])/72 - 4*t[24] + 2*t[25] - 2*t[27] + 
       4*t[28] - t[29] - 4*t[30] - 8*t[31] + 32*t[32] - 18*t[33] - 4*t[34] - 
       8*t[35] + 8*t[36] + 6*t[37] + 9*t[39] - 5*t[40] + t[41] - t[42] - 
       t[43] - (5*t[44])/2 + 28*t[45] + 2*t[46] - 20*t[47] + (123*t[48])/4 - 
       (65*t[49])/4 - (77*t[50])/4 + (53*t[51])/8 + (37*t[52])/4 + 
       (65*t[53])/4 + (249*t[54])/4 - t[59] + (401*t[60])/2 + 186*t[61] - 
       (409*t[62])/4 - (715*t[63])/4 - 57*t[64] + (5*t[65])/3 - 
       (961*t[66])/6 + 4*t[70] - 4*t[71] + 6*t[72] + 8*t[73] + 2*t[74] - 
       8*t[75] - 3*t[76] + 36*t[78] - 54*t[80] + 26*t[81] - 31*t[82] - 
       8*t[83] + 67*t[84] - (25*t[85])/2 - 4*t[86] + (43*t[87])/2 + 
       (127*t[88])/4 + (229*t[89])/4 - 12*t[95] - 4*t[96] + 2*t[97] - 
       96*t[98] + 120*t[99] - 216*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*(3*t[1] + (27*t[2])/4 - 
       (141*t[3])/8 + (231*t[4])/4 - (513*t[5])/8 - (55*t[6])/4 + 
       (257*t[7])/4 - (273*t[8])/4 + (575*t[9])/8 + (21*t[10])/8 + 
       (163*t[11])/4 - (7*t[12])/4 + (227*t[13])/8 + (395*t[14])/16 - 
       (911*t[15])/72 - 2*t[28] - (11*t[29])/2 + 14*t[30] - (3*t[32])/2 - 
       5*t[33] + 8*t[34] + 4*t[35] - 6*t[36] - 5*t[37] + 2*t[38] + 3*t[39] + 
       4*t[40] + t[41]/2 - t[42]/2 - (3*t[43])/2 + (67*t[44])/4 + 6*t[45] - 
       9*t[47] - 21*t[48] - (5*t[49])/8 + 18*t[50] + (45*t[51])/16 - 
       30*t[52] + (37*t[53])/8 - (15*t[54])/2 - (11*t[59])/2 + 
       (129*t[60])/4 + 110*t[61] + (3*t[62])/2 + (37*t[63])/2 - 
       (369*t[64])/4 - (121*t[65])/12 - (357*t[66])/4 - 2*t[70] + 2*t[71] + 
       4*t[72] + 6*t[73] - t[74] - 6*t[75] + 9*t[76] + 5*t[77] - 12*t[78] + 
       23*t[79] - 4*t[80] + (31*t[81])/2 - (7*t[82])/2 + 4*t[83] + 
       (43*t[84])/4 - (7*t[85])/2 - 43*t[86] - t[87] - (21*t[88])/2 - 
       (87*t[89])/8 - 2*t[95] + 6*t[96] + t[97] + 48*t[98] - 12*t[99] - 
       213*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*((27*t[1])/4 + (199*t[2])/4 - (321*t[3])/16 + 
       169*t[4] - (183*t[5])/8 - (57*t[6])/16 + 95*t[7] - (451*t[8])/2 + 
       46*t[9] + 17*t[10] + (3079*t[11])/16 - (397*t[12])/4 + 
       (7289*t[13])/48 + (2335*t[14])/48 + (7447*t[15])/288 - (3*t[17])/2 - 
       (13*t[19])/2 + t[20] - 10*t[21] - 12*t[22] + 10*t[23] - 8*t[24] - 
       3*t[26] - 2*t[27] - 6*t[28] + (7*t[29])/4 + 48*t[30] - 15*t[31] - 
       (133*t[32])/4 + 26*t[33] + (5*t[34])/2 - 55*t[35] - 36*t[36] - 
       10*t[37] + t[38]/2 + (17*t[39])/2 - (5*t[40])/2 - (21*t[41])/2 + 
       6*t[42] - 7*t[43] + (423*t[44])/8 - (59*t[45])/4 + 9*t[46] - 
       (27*t[47])/4 - (313*t[48])/16 + (583*t[49])/8 + (643*t[50])/16 - 
       (261*t[51])/8 - (715*t[52])/16 - (551*t[53])/8 - (1393*t[54])/16 - 
       (175*t[59])/8 + (97*t[60])/4 + (1435*t[61])/8 - (951*t[62])/8 + 
       (773*t[63])/8 - (4201*t[64])/16 - (4031*t[65])/24 - (3523*t[66])/12 - 
       t[67]/2 + 12*t[68] - 12*t[69] + 10*t[70] - 10*t[71] - 24*t[72] + 
       6*t[73] + (65*t[74])/2 + 3*t[75] + (117*t[76])/4 + 25*t[77] - 
       (17*t[78])/4 - (67*t[79])/2 + 29*t[80] + (241*t[81])/4 - 
       (85*t[82])/2 + 35*t[83] - (157*t[84])/8 + (113*t[85])/4 - 
       (145*t[86])/2 - (333*t[87])/4 - (395*t[88])/8 - (33*t[89])/8 + 
       9*t[95] + 8*t[96] + (9*t[97])/4 + 186*t[98] - 120*t[99] - 
       (423*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-107*t[1])/8 + (235*t[2])/8 + (243*t[3])/4 - (1921*t[4])/16 + 
       (1211*t[5])/16 - (1337*t[6])/16 + (19*t[7])/2 - (1759*t[8])/8 - 
       (1149*t[9])/16 + (2231*t[10])/32 - (183*t[11])/16 + (601*t[12])/32 - 
       (1329*t[13])/16 - (143*t[14])/64 + (3005*t[15])/72 + 2*t[18] - 
       (15*t[19])/2 + 4*t[20] - 8*t[21] - 10*t[22] + 8*t[23] - 4*t[25] + 
       (51*t[26])/4 - (3*t[27])/2 + t[28] + 17*t[29] + (175*t[30])/4 - 
       26*t[31] - (33*t[32])/4 - 9*t[33] + (99*t[34])/4 - 35*t[35] - 
       11*t[36] + (7*t[37])/2 - (27*t[38])/2 - (15*t[39])/4 + (33*t[40])/2 - 
       (83*t[41])/8 + (67*t[42])/8 + (5*t[43])/2 + (229*t[44])/8 - 
       (49*t[45])/4 + 2*t[46] - (63*t[47])/4 - (569*t[48])/16 + 
       (717*t[49])/32 + (1139*t[50])/16 - (1759*t[51])/64 - (1167*t[52])/16 - 
       (157*t[53])/32 - (181*t[54])/4 + t[58]/4 + (51*t[59])/8 - 
       (759*t[60])/4 + (83*t[61])/4 + (379*t[62])/8 + (2109*t[63])/8 - 
       47*t[64] + (143*t[65])/24 + (2069*t[66])/24 - t[68] - 4*t[69] - 
       7*t[70] + 7*t[71] - 5*t[72] + 10*t[73] - 8*t[74] - 22*t[75] + 
       24*t[76] - (11*t[77])/2 - (113*t[78])/4 + 39*t[79] + 18*t[80] + 
       (77*t[81])/4 + (23*t[82])/2 + (83*t[83])/2 - 59*t[84] - 
       (231*t[85])/4 - 12*t[86] + (207*t[87])/4 - (117*t[88])/8 - 
       (375*t[89])/2 + 4*t[95] + 8*t[96] - (5*t[97])/2 + 162*t[98] - 
       125*t[99] - 203*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 
       1 - u]*((9*t[1])/4 - (25*t[2])/8 + (25*t[3])/16 + (335*t[4])/8 + 
       (173*t[5])/16 - (161*t[6])/32 + (45*t[7])/4 + (35*t[8])/2 + 
       (139*t[9])/8 - (1021*t[10])/16 + (2621*t[11])/32 + (55*t[12])/8 + 
       (511*t[13])/8 + (81*t[14])/16 - (2735*t[15])/288 + 2*t[18] + 2*t[20] + 
       4*t[21] - 8*t[22] - 4*t[23] + 2*t[24] + 6*t[25] - (13*t[26])/2 - 
       6*t[27] + 3*t[29] - (3*t[30])/4 - (5*t[31])/2 - t[32]/2 + t[33]/2 + 
       6*t[34] - t[35] + 7*t[36] + t[38]/4 - (5*t[39])/4 - (5*t[40])/8 + 
       3*t[41] - (3*t[42])/2 - 2*t[43] - (51*t[44])/8 - (19*t[45])/2 - 
       (23*t[46])/2 + 22*t[47] + (249*t[48])/32 + (187*t[49])/16 - 
       (123*t[50])/32 + (141*t[51])/32 + (43*t[52])/32 - (171*t[53])/16 - 
       (357*t[54])/32 + t[58]/2 + (9*t[59])/8 + (1193*t[60])/16 + 
       (1891*t[61])/16 - (1923*t[62])/32 - (1045*t[63])/32 + 
       (1435*t[64])/32 + (577*t[65])/16 - (8269*t[66])/48 - t[68] - 4*t[70] + 
       4*t[71] + t[72]/2 + 11*t[73] - 6*t[74] - 4*t[75] + (41*t[76])/4 + 
       t[77]/2 - (3*t[78])/2 + 47*t[80] + 5*t[81] + t[82] - 22*t[83] + 
       (123*t[84])/16 - (29*t[85])/16 + (11*t[86])/2 - (631*t[87])/16 - 
       (631*t[88])/32 - (209*t[89])/32 + (3*t[96])/2 + (7*t[97])/4 + 
       162*t[98] - 125*t[99] - 203*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]^2*(-t[1] + (37*t[2])/4 - (25*t[3])/4 + 29*t[4] - 
       (231*t[5])/16 + (215*t[6])/16 + (61*t[7])/8 - (15*t[8])/4 + 
       (37*t[9])/16 - t[10]/2 + (695*t[11])/16 - (39*t[12])/16 - 
       (1699*t[13])/144 + (893*t[14])/24 + (409*t[15])/32 - t[16] - 
       (9*t[17])/4 + 2*t[19] - 3*t[20] - 4*t[21] + 3*t[23] - t[24]/2 + 
       2*t[25] - 2*t[26] - 2*t[27] + (3*t[29])/2 + 3*t[30] - 6*t[31] - 
       (5*t[33])/2 - 5*t[34] - 2*t[36] - t[38] + (5*t[39])/2 - t[40] - 
       2*t[41] + t[42] + (5*t[43])/8 - t[44]/4 + (31*t[45])/4 - (7*t[46])/2 - 
       (31*t[47])/2 + (65*t[48])/16 + (21*t[49])/4 + (101*t[50])/16 - t[51] - 
       (5*t[52])/16 - (21*t[53])/4 + (99*t[54])/16 - t[58] + (7*t[59])/2 + 
       (179*t[60])/8 + (623*t[61])/4 - (289*t[62])/16 + (1613*t[63])/16 - 
       (279*t[64])/4 - (197*t[65])/4 - 23*t[66] + t[67] + (17*t[68])/4 - 
       3*t[69] + 3*t[70] - 3*t[71] + 6*t[72] + 4*t[74] - (23*t[76])/2 - 
       4*t[77] + (51*t[78])/2 - 28*t[80] + (21*t[81])/4 - (39*t[82])/4 + 
       (65*t[84])/4 - (187*t[85])/8 - 37*t[86] - (127*t[87])/8 - 
       (127*t[88])/16 - (211*t[89])/4 - t[90]/4 - 96*t[98] + 156*t[99] - 
       201*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]^2*
      (-6*t[1] - t[2]/2 - (41*t[3])/4 + (21*t[4])/4 - (231*t[5])/8 + 
       (25*t[6])/4 + (25*t[7])/4 + (45*t[8])/2 + (87*t[9])/8 + (3*t[10])/4 + 
       (135*t[11])/4 + (155*t[12])/8 + (117*t[13])/8 + (1693*t[14])/48 + 
       (661*t[15])/48 + t[16] + 6*t[25] + t[26] - 2*t[27] + 2*t[30] - 
       2*t[31] + t[36] - 5*t[37] - 7*t[38] + (3*t[39])/2 + (3*t[40])/2 - 
       2*t[43] - 3*t[44] + t[45] - 2*t[47] + (15*t[48])/2 - (13*t[49])/2 - 
       (21*t[50])/4 - (13*t[51])/16 + (5*t[52])/4 + (3*t[53])/2 + 
       (17*t[54])/2 + 4*t[59] + (241*t[60])/8 + (1209*t[61])/8 - 
       (571*t[62])/16 + (999*t[63])/16 - (285*t[64])/16 - (11*t[65])/2 - 
       (139*t[66])/4 + 2*t[70] - 2*t[71] + 7*t[72] + t[74] - (33*t[76])/2 - 
       3*t[77] + (61*t[78])/2 + 2*t[80] + (9*t[81])/4 - (9*t[82])/4 + 
       (41*t[84])/4 - (247*t[85])/8 - 10*t[86] - (43*t[87])/8 + 
       (85*t[88])/16 - (319*t[89])/16 - 2*t[95] - 2*t[96] + 2*t[97] - 
       96*t[98] + 156*t[99] - 201*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((23*t[1])/2 + (185*t[2])/6 - (629*t[3])/6 + 7*t[4] - (223*t[5])/4 + 
       (89*t[6])/2 + (313*t[7])/6 + (917*t[8])/6 + (279*t[9])/4 + 
       (79*t[10])/6 + (107*t[11])/6 - (401*t[12])/12 - (325*t[13])/54 + 
       (2381*t[14])/36 + (4799*t[15])/216 - 2*t[18] + 2*t[19] - 
       (22*t[20])/3 + 2*t[21] + 2*t[22] - 2*t[23] - (16*t[24])/3 + 
       (2*t[27])/3 - (10*t[29])/3 - 2*t[30] - 10*t[31] + (103*t[32])/3 - 
       (2*t[33])/3 - (67*t[34])/3 - 8*t[36] - (34*t[37])/3 + (4*t[38])/3 + 
       (17*t[39])/3 - (2*t[40])/3 + (17*t[41])/6 - (11*t[42])/6 + t[43]/3 + 
       10*t[44] + 30*t[45] + 2*t[46] - 28*t[47] + 25*t[48] - (32*t[49])/3 + 
       (38*t[50])/3 + 7*t[51] - (41*t[52])/3 + (28*t[53])/3 + (125*t[54])/3 + 
       (19*t[59])/6 + (382*t[60])/3 + (716*t[61])/3 - (308*t[62])/3 - 
       (316*t[63])/3 - 94*t[64] + 4*t[65] - (1046*t[66])/9 + 4*t[69] + 
       (32*t[70])/3 - (32*t[71])/3 + 18*t[72] + 8*t[73] + 8*t[74] - 8*t[75] - 
       (56*t[76])/3 + (26*t[77])/3 + (11*t[78])/3 + 16*t[79] + 10*t[80] + 
       (5*t[81])/3 - (44*t[82])/3 + (2*t[83])/3 + 55*t[84] - (41*t[85])/3 + 
       8*t[86] - (8*t[87])/3 + 49*t[88] + (39*t[89])/2 - 16*t[95] - 
       (38*t[96])/3 + 3*t[97] - 152*t[98] + 144*t[99] - 192*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*(-17*t[1] - (9*t[2])/4 - 
       126*t[3] + (63*t[4])/4 - (149*t[5])/2 + (107*t[6])/2 + (525*t[7])/4 + 
       (595*t[8])/4 + (361*t[9])/2 - (47*t[10])/8 + (345*t[11])/2 + 
       (1169*t[12])/8 - (2285*t[13])/72 + (9919*t[14])/48 + (243*t[15])/8 + 
       4*t[16] + (9*t[17])/2 + 4*t[18] - 12*t[20] - 8*t[24] + 7*t[25] + 
       9*t[26] - 7*t[27] + 2*t[29] - 12*t[30] - 12*t[31] - 4*t[32] - 
       8*t[33] + 39*t[34] + 8*t[36] - 24*t[38] + 8*t[39] + 4*t[40] + 
       (27*t[41])/2 - (17*t[42])/2 - (43*t[43])/4 - 11*t[44] + (3*t[45])/2 - 
       (13*t[46])/2 + 8*t[47] + (151*t[48])/4 + (45*t[49])/8 + (11*t[50])/4 - 
       (71*t[51])/16 - (215*t[52])/4 - (45*t[53])/8 + 41*t[54] + 9*t[58] + 
       45*t[59] + (167*t[60])/4 + (1845*t[61])/4 - (2533*t[62])/8 + 
       (261*t[63])/8 + (1431*t[64])/8 + 33*t[65] - (673*t[66])/6 - 
       (7*t[67])/2 - 13*t[68] + 4*t[69] - 26*t[70] + 26*t[71] + 24*t[72] - 
       11*t[74] - 12*t[76] + 4*t[77] + 50*t[78] + 50*t[80] + (21*t[81])/2 - 
       (29*t[82])/2 + 21*t[84] - (257*t[85])/4 + 28*t[86] + (153*t[87])/4 + 
       (153*t[88])/8 - (539*t[89])/8 - 3*t[90] - 4*t[92] + 2*t[94] - 
       384*t[98] + 540*t[99] - 192*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*(-5*t[1] + 6*t[2] - (69*t[3])/2 - 
       70*t[4] - (371*t[5])/8 + (71*t[6])/2 + (67*t[7])/2 + (411*t[8])/2 + 
       (379*t[9])/8 + (177*t[10])/4 + (83*t[11])/4 + (249*t[12])/8 - 
       (1433*t[13])/36 + (599*t[14])/6 - (105*t[15])/16 + (7*t[16])/2 + 
       22*t[26] - 6*t[27] - 16*t[30] - 8*t[31] + 9*t[36] + 9*t[37] - 
       18*t[38] + 13*t[39] - 19*t[40] - 16*t[43] + 12*t[44] - 7*t[45] + 
       (37*t[46])/2 + 14*t[47] + (121*t[48])/2 + (33*t[49])/4 - 
       (21*t[50])/2 - (245*t[51])/8 + (29*t[52])/2 - (29*t[53])/4 + 
       (149*t[54])/2 + 39*t[59] - (175*t[60])/2 + 244*t[61] - 177*t[62] + 
       (179*t[63])/2 + 170*t[64] - (315*t[65])/2 - (445*t[66])/3 - 
       (3*t[67])/2 - 3*t[68] + 4*t[69] - 22*t[70] + 22*t[71] + 28*t[72] - 
       5*t[74] - 51*t[76] + 5*t[77] + 31*t[78] + 22*t[80] - 21*t[81] + 
       51*t[82] - 16*t[84] - (191*t[85])/2 - 34*t[86] + (363*t[87])/2 + 
       (231*t[88])/4 - (451*t[89])/4 - 6*t[90] + 4*t[95] + 22*t[96] - 
       2*t[97] - 384*t[98] + 540*t[99] - 192*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*(-3*t[1] + (35*t[2])/4 + 
       (855*t[3])/16 + (93*t[4])/4 + (99*t[5])/8 - (35*t[6])/2 + 
       (209*t[7])/4 - (829*t[8])/4 + (141*t[9])/8 - (309*t[10])/8 + 
       (551*t[11])/8 + (75*t[12])/8 + (1813*t[13])/48 + (271*t[14])/24 - 
       (283*t[15])/32 + 3*t[20] - 2*t[23] + 30*t[28] - (9*t[29])/4 + 
       (17*t[30])/2 - (147*t[32])/4 + (45*t[33])/2 + 21*t[34] - 3*t[35] - 
       3*t[37] - (9*t[38])/4 + (3*t[39])/2 - (3*t[40])/2 - (3*t[41])/2 + 
       (3*t[42])/2 - (3*t[43])/2 + (159*t[44])/8 - (75*t[45])/4 + 
       (45*t[47])/4 - (221*t[48])/8 + (27*t[49])/4 + (123*t[50])/8 - 
       (9*t[51])/2 - (111*t[52])/8 - (27*t[53])/4 - (127*t[54])/4 - 
       (9*t[59])/8 - (131*t[60])/4 + (211*t[61])/4 + (185*t[62])/16 + 
       (1523*t[63])/16 - (151*t[64])/2 - (433*t[65])/8 - (795*t[66])/8 + 
       (3*t[67])/4 - 3*t[69] - 3*t[70] + 3*t[71] + 40*t[73] + 13*t[74] - 
       45*t[75] + 18*t[76] - 3*t[77] - (27*t[78])/4 - 3*t[79] + 
       (15*t[80])/2 + (69*t[81])/4 + (9*t[82])/4 - 43*t[83] - (95*t[84])/8 + 
       (73*t[85])/8 - 9*t[86] - (487*t[87])/8 - (847*t[88])/16 - 
       (1393*t[89])/16 + 9*t[95] + 6*t[96] - (15*t[97])/4 + 108*t[98] - 
       72*t[99] - 189*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 
       1 - u]*((3*t[1])/2 - (267*t[2])/8 + (1267*t[3])/16 + (375*t[4])/8 - 
       (25*t[5])/4 - (1309*t[6])/16 + (563*t[7])/8 - (1683*t[8])/8 - 
       (85*t[9])/4 - (9*t[10])/16 + (1873*t[11])/16 + (225*t[12])/16 + 
       (1963*t[13])/48 - (1079*t[14])/32 - (79*t[15])/32 + 8*t[28] - 
       (27*t[29])/4 + (29*t[30])/2 - (95*t[32])/4 + (11*t[33])/2 - 
       (15*t[34])/2 - 3*t[37] + (9*t[38])/4 + 6*t[39] + (9*t[40])/4 + 
       (3*t[41])/4 - (3*t[42])/4 - (3*t[43])/2 + (309*t[44])/8 - 3*t[45] + 
       (9*t[47])/2 - (841*t[48])/16 - (3*t[49])/16 + (367*t[50])/16 + 
       (39*t[51])/32 - (559*t[52])/16 + (147*t[53])/16 - (1087*t[54])/16 + 
       (39*t[59])/8 - 45*t[60] + (195*t[61])/2 - (443*t[62])/4 + 
       (453*t[63])/4 - (167*t[64])/8 - (1005*t[65])/8 - 146*t[66] - 6*t[70] + 
       6*t[71] + 40*t[73] - (9*t[74])/2 - 45*t[75] + (81*t[76])/4 + 
       (3*t[77])/2 - (81*t[78])/4 + 3*t[80] + t[81]/4 + (23*t[82])/4 - 
       40*t[83] - (179*t[84])/8 - 34*t[85] - 6*t[86] - (47*t[87])/4 - 
       (227*t[88])/8 - (1291*t[89])/16 + 9*t[95] + (39*t[96])/2 + 
       (3*t[97])/4 + 108*t[98] - 72*t[99] - 189*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*(-29*t[1] - 30*t[2] - 
       40*t[3] + (439*t[4])/4 - (233*t[5])/16 + (1035*t[6])/16 - 
       (287*t[7])/2 + (17*t[8])/2 - (479*t[9])/16 + (1271*t[10])/8 - 
       (359*t[11])/16 + (463*t[12])/16 + (11831*t[13])/144 + (799*t[14])/16 + 
       (4855*t[15])/96 - 14*t[18] - 2*t[20] - 14*t[21] - t[22] + 14*t[23] - 
       14*t[24] - 5*t[26] + 4*t[27] + 4*t[28] - (19*t[29])/2 - 14*t[30] + 
       4*t[31] - 11*t[32] + 9*t[33] + (7*t[34])/2 + 4*t[36] + t[38]/2 - 
       t[39] + (7*t[40])/2 + (43*t[41])/4 - 4*t[42] - (95*t[43])/8 - 
       (19*t[44])/4 + (61*t[45])/2 - (37*t[46])/2 - 72*t[47] - 
       (421*t[48])/16 + (107*t[49])/8 - (409*t[50])/16 + (143*t[51])/16 + 
       (385*t[52])/16 - (123*t[53])/8 - (195*t[54])/16 - 2*t[58] - 
       (7*t[59])/2 + (1255*t[60])/8 - (937*t[61])/8 + (4855*t[62])/16 + 
       (649*t[63])/16 - (6603*t[64])/16 - (971*t[65])/24 - (243*t[66])/8 - 
       t[67]/2 + 2*t[68] - 4*t[69] + 26*t[70] - 26*t[71] + 24*t[72] - 
       16*t[73] - 25*t[74] + 32*t[75] + (25*t[76])/2 - 19*t[77] - 
       (35*t[78])/2 + 18*t[79] - 179*t[80] + 36*t[81] - 23*t[82] - 50*t[83] + 
       (175*t[84])/8 + (455*t[85])/8 - (575*t[86])/2 - (1283*t[87])/8 - 
       (1283*t[88])/16 + (49*t[89])/16 + t[92] + 2*t[93] + t[94] + 4*t[97] + 
       54*t[98] - 66*t[99] - 185*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((91*t[1])/4 - 7*t[2] - t[3] - 
       (239*t[4])/8 + (559*t[5])/8 - (1011*t[6])/16 + 28*t[7] - 
       (205*t[8])/4 - (69*t[9])/2 - (1279*t[10])/16 + (2175*t[11])/16 - 
       (753*t[12])/16 + (9061*t[13])/72 - (7651*t[14])/96 + (1195*t[15])/48 + 
       (5*t[16])/2 + 19*t[25] - 47*t[26] - 4*t[28] - 10*t[31] - 4*t[32] + 
       4*t[33] - t[34]/2 - 6*t[35] + 15*t[36] - 9*t[37] + 29*t[38] - 
       15*t[39] + 19*t[40] + t[41]/4 - t[42]/4 + (7*t[43])/2 - 3*t[44] + 
       (23*t[45])/2 + (23*t[46])/2 - 27*t[47] - (253*t[48])/16 - 
       (237*t[49])/16 + (39*t[50])/16 + (605*t[51])/32 - (239*t[52])/16 + 
       (365*t[53])/16 - (785*t[54])/16 - (5*t[58])/2 - (49*t[59])/4 + 
       76*t[60] - 79*t[61] - (271*t[62])/8 - (1153*t[63])/8 + (325*t[64])/4 - 
       (191*t[65])/12 - (239*t[66])/2 + t[67]/2 - 4*t[69] + 12*t[70] - 
       12*t[71] + 16*t[72] + 8*t[73] - 13*t[74] - 40*t[75] + 26*t[76] - 
       (15*t[77])/2 - 79*t[78] + 20*t[79] + 16*t[80] + (35*t[81])/2 + 
       (45*t[82])/2 + 26*t[83] + 11*t[84] + 14*t[85] + 55*t[86] + 45*t[87] + 
       26*t[88] + (79*t[89])/4 + 2*t[93] - 4*t[95] + 10*t[96] + 7*t[97] + 
       54*t[98] - 66*t[99] - 185*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*(t[1] - (21*t[2])/4 + 
       (35*t[3])/4 + (185*t[4])/4 - (191*t[5])/8 - (237*t[6])/16 + 
       (35*t[7])/2 - (93*t[8])/4 - (9*t[9])/4 + (51*t[10])/8 + 
       (1245*t[11])/16 + (17*t[12])/4 + (217*t[13])/6 + (27*t[14])/2 - 
       (185*t[15])/36 - 2*t[24] + 6*t[28] - 6*t[29] + 8*t[30] - 2*t[31] - 
       (7*t[32])/2 - 3*t[33] - 10*t[34] - 12*t[35] + 6*t[36] - t[37] + 
       2*t[38] + 7*t[39] - t[40] + t[41]/2 - t[42]/2 - t[43]/2 + 7*t[44] + 
       12*t[45] - 5*t[47] - (291*t[48])/16 - (23*t[49])/8 - (103*t[50])/16 + 
       (15*t[51])/16 - (89*t[52])/16 + (55*t[53])/8 - (201*t[54])/16 + 
       (3*t[59])/2 + (267*t[60])/8 + (1069*t[61])/8 - (1089*t[62])/16 - 
       (199*t[63])/16 - (175*t[64])/16 - (363*t[65])/8 - (1053*t[66])/8 - 
       2*t[70] + 2*t[71] - 2*t[72] - 3*t[74] + 11*t[76] + 3*t[77] - 
       10*t[78] - 28*t[80] + (23*t[81])/2 - (19*t[82])/2 + (63*t[84])/8 - 
       (147*t[85])/8 - 22*t[86] - (25*t[87])/8 - (185*t[88])/16 - 
       (71*t[89])/16 - 2*t[95] + 10*t[96] + t[97] + 24*t[98] + 20*t[99] - 
       184*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-9*t[1])/4 + (595*t[2])/72 - (6749*t[3])/288 + 
       (3551*t[4])/72 - (2455*t[5])/72 - (10411*t[6])/576 + (4825*t[7])/144 - 
       (1855*t[8])/36 + (8011*t[9])/288 - (1307*t[10])/144 + 
       (22211*t[11])/576 - (545*t[12])/48 - (6709*t[13])/2592 + 
       (16613*t[14])/1728 - (5153*t[15])/2592 + (5*t[17])/6 + 2*t[18] - 
       2*t[19] + 6*t[20] - 10*t[22] + (28*t[23])/3 - (31*t[24])/9 - 
       (5*t[27])/9 - (23*t[28])/6 + (1043*t[29])/72 + (761*t[30])/18 - 
       (25*t[31])/3 + (89*t[32])/72 - (191*t[33])/18 - (4*t[34])/3 + 
       (23*t[35])/3 - (9*t[36])/2 + (95*t[37])/18 + (19*t[38])/18 - 
       (115*t[39])/18 + (230*t[40])/9 - (11*t[41])/18 - (7*t[42])/18 + 
       (14*t[43])/9 + (1429*t[44])/144 - (65*t[45])/18 + (11*t[46])/3 + 
       (16*t[47])/3 + (527*t[48])/64 + (121*t[49])/48 + (915*t[50])/64 - 
       (703*t[51])/288 - (28363*t[52])/576 - (491*t[53])/144 + 
       (1423*t[54])/192 - t[55]/3 - t[56] - 4*t[57] + (5*t[59])/18 + 
       (847*t[60])/288 + (27827*t[61])/288 - (14207*t[62])/576 + 
       (39655*t[63])/576 - (5117*t[64])/576 + (8555*t[65])/864 - 
       (26255*t[66])/864 - (11*t[68])/3 + 2*t[69] - (5*t[70])/9 + 
       (5*t[71])/9 - (8*t[72])/9 - (10*t[73])/3 - (8*t[74])/3 - (2*t[75])/3 + 
       (53*t[76])/18 - (167*t[77])/18 + (203*t[78])/18 - 5*t[79] - 
       (137*t[80])/9 + (19*t[81])/2 - (175*t[82])/18 + (317*t[83])/18 + 
       (5435*t[84])/288 - (4765*t[85])/288 + 20*t[86] + (8881*t[87])/288 + 
       (969*t[88])/64 + (8033*t[89])/576 + t[95]/3 - t[96]/9 - (9*t[97])/2 - 
       (184*t[98])/3 + 106*t[99] - 183*t[100]) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((29*t[1])/4 + (679*t[2])/48 - (13*t[3])/3 + 
       (685*t[4])/12 - (1741*t[5])/96 - (9253*t[6])/192 + (1013*t[7])/16 - 
       (4249*t[8])/48 + (519*t[9])/8 + (191*t[10])/24 + (6283*t[11])/64 - 
       (3401*t[12])/96 + (1123*t[13])/27 + (23569*t[14])/576 + 
       (4157*t[15])/864 + (5*t[17])/4 - t[19] - (47*t[20])/3 + 3*t[21] + 
       14*t[22] - 3*t[23] + (23*t[24])/6 - (7*t[27])/12 + 7*t[28] - 
       (21*t[29])/4 + (31*t[30])/12 - (41*t[31])/6 - (119*t[32])/12 - 
       (19*t[33])/12 - (13*t[34])/3 - 5*t[35] - (5*t[36])/6 - (11*t[37])/2 + 
       (5*t[38])/3 + 16*t[39] + (17*t[40])/8 + (29*t[41])/24 - 
       (29*t[42])/24 - (61*t[43])/48 + (13*t[44])/24 + (111*t[45])/8 + 
       (25*t[46])/8 - (365*t[47])/24 - (893*t[48])/64 - (73*t[49])/24 + 
       (1229*t[50])/192 - (73*t[51])/96 - (4301*t[52])/192 + (233*t[53])/24 - 
       (4945*t[54])/192 - t[55]/4 + t[56] - t[57] + (29*t[59])/12 + 
       (2599*t[60])/96 + (7073*t[61])/32 - (15949*t[62])/192 + 
       (8465*t[63])/192 - (12073*t[64])/192 - (3473*t[65])/32 - 
       (59947*t[66])/288 - (9*t[68])/2 - 4*t[69] - 2*t[70] + 2*t[71] + 
       (5*t[72])/3 + (23*t[73])/6 + (43*t[74])/2 - (29*t[75])/6 + 
       (47*t[76])/2 + (41*t[77])/12 - (661*t[78])/12 - (14*t[79])/3 + 
       15*t[80] + (53*t[81])/24 - (34*t[82])/3 - 12*t[83] + (947*t[84])/96 - 
       (2219*t[85])/96 - (145*t[86])/4 - (2861*t[87])/96 - (4957*t[88])/192 - 
       (6793*t[89])/192 - t[91]/12 - t[93] - (10*t[95])/3 + (21*t[96])/2 + 
       (41*t[97])/12 + 50*t[98] - 80*t[99] - (353*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((3*t[1])/2 + (121*t[2])/24 - (1403*t[3])/48 - (13*t[4])/4 + t[5]/48 + 
       (491*t[6])/12 + (629*t[7])/24 + (463*t[8])/8 + (3127*t[9])/48 - 
       (201*t[10])/8 + (359*t[11])/24 + (289*t[12])/48 + (4757*t[13])/432 + 
       (3935*t[14])/72 + (139*t[15])/18 + 2*t[18] - (2*t[20])/3 + 2*t[22] - 
       (2*t[24])/3 + (4*t[27])/3 - (11*t[28])/3 + (21*t[29])/4 - 
       (331*t[30])/12 - 4*t[31] + (5*t[32])/2 + (17*t[33])/12 - 
       (17*t[34])/2 - 6*t[35] - (5*t[37])/3 - t[38]/3 - (2*t[39])/3 - 
       (5*t[40])/6 - t[41]/3 + t[42]/3 - (11*t[43])/6 - (7*t[44])/12 + 
       6*t[45] - t[46] - 7*t[47] + (391*t[48])/24 - (269*t[49])/24 - 
       (31*t[50])/24 + (33*t[51])/16 + (103*t[52])/24 + (205*t[53])/24 + 
       (59*t[54])/2 + (8*t[59])/3 + (2063*t[60])/24 + (377*t[61])/3 - 
       (553*t[62])/16 - (3067*t[63])/48 - (259*t[64])/4 + (569*t[65])/72 - 
       (6605*t[66])/72 - t[67]/2 - 6*t[69] + (4*t[70])/3 - (4*t[71])/3 + 
       8*t[72] + 25*t[73] + (43*t[74])/3 - 61*t[75] - (37*t[76])/3 + 
       t[77]/3 + (16*t[78])/3 + 27*t[79] - 6*t[80] - (49*t[81])/12 + 
       (61*t[82])/12 - 9*t[83] + (1051*t[84])/24 + (40*t[85])/3 - 
       (17*t[86])/3 - (487*t[87])/12 + (11*t[88])/24 - t[89]/3 - 
       (32*t[95])/3 - (22*t[96])/3 - t[97] - 64*t[98] + 60*t[99] - 
       (337*t[100])/2) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-43*t[1])/8 + (249*t[2])/8 - 5*t[3] - 120*t[4] - 47*t[5] - 
       (89*t[6])/2 + (701*t[7])/8 + (111*t[8])/4 + (1177*t[9])/8 - 
       (1771*t[10])/8 - (395*t[11])/8 + (529*t[12])/8 - (1069*t[13])/144 - 
       (263*t[14])/6 - (2101*t[15])/144 + (3*t[17])/4 + 2*t[19] - 21*t[20] + 
       5*t[21] + 7*t[22] + 2*t[23] - (11*t[24])/2 + 8*t[27] - 26*t[28] - 
       (19*t[29])/2 + (55*t[30])/2 - 4*t[31] + 11*t[32] - (95*t[33])/2 + 
       (115*t[34])/4 + 24*t[35] + 12*t[36] + (5*t[37])/2 - (11*t[38])/4 - 
       (25*t[39])/4 + (63*t[40])/2 + (13*t[41])/8 - (13*t[42])/8 + 
       (31*t[43])/2 - 14*t[44] - 23*t[45] + 4*t[46] + (109*t[47])/2 - 
       (135*t[48])/8 - (299*t[49])/8 + (249*t[50])/8 + (135*t[51])/8 - 
       (487*t[52])/8 + (243*t[53])/8 + (215*t[54])/8 + (3*t[55])/2 + 
       2*t[56] + (23*t[59])/8 - (507*t[60])/4 - (1093*t[61])/4 - 
       (395*t[62])/16 - (1473*t[63])/16 + (1489*t[64])/4 + (259*t[65])/2 + 
       (4183*t[66])/24 + (9*t[68])/2 - 8*t[69] - 18*t[70] + 18*t[71] - 
       7*t[72] - 6*t[73] + 4*t[74] - 66*t[75] + (111*t[76])/4 - 29*t[77] - 
       (169*t[78])/4 + 96*t[79] + 116*t[80] + (31*t[81])/4 + (81*t[82])/4 + 
       122*t[83] + (7*t[84])/2 + (471*t[85])/8 + 404*t[86] + (709*t[87])/8 + 
       (977*t[88])/16 + (71*t[89])/4 - 4*t[93] - (37*t[96])/2 - 
       (37*t[97])/4 + 144*t[98] - 260*t[99] - 160*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u]*((11*t[1])/8 - 24*t[2] - 
       (181*t[3])/8 + (1023*t[4])/8 + (913*t[5])/16 + (253*t[6])/4 - 
       (1435*t[7])/8 + 74*t[8] - (2261*t[9])/16 + (783*t[10])/16 + 
       (431*t[11])/4 - (635*t[12])/8 + (307*t[13])/2 + (4693*t[14])/96 + 
       (4681*t[15])/288 - 2*t[20] + 6*t[22] - 8*t[23] - (19*t[27])/2 + 
       4*t[28] + (39*t[29])/2 + 3*t[30] + (35*t[32])/2 - 3*t[33] - 
       (105*t[34])/4 + 16*t[35] - 12*t[36] - t[37] + 4*t[38] - 18*t[39] + 
       (15*t[40])/2 - (11*t[41])/8 + (11*t[42])/8 + (3*t[43])/4 - 
       (23*t[44])/4 + (103*t[45])/4 - (7*t[46])/4 - (87*t[47])/2 + 
       (45*t[48])/2 + (409*t[49])/16 - 34*t[50] - (239*t[51])/32 + 
       (139*t[52])/4 - (377*t[53])/16 - (205*t[54])/8 + t[56]/2 + 2*t[57] - 
       (7*t[59])/4 + (2185*t[60])/8 + (569*t[61])/8 + (769*t[62])/8 - 
       (1589*t[63])/8 - (3687*t[64])/16 - 94*t[65] - (6445*t[66])/24 - 
       6*t[68] + 7*t[72] + 4*t[73] - 8*t[74] + 20*t[75] + (117*t[76])/4 + 
       28*t[77] - (3*t[78])/2 - 36*t[79] - (61*t[80])/2 + (163*t[81])/4 - 
       80*t[82] - 85*t[83] + (293*t[84])/4 + 40*t[85] - (535*t[86])/2 - 
       76*t[87] - (85*t[88])/4 + (1447*t[89])/16 + 3*t[96] - (5*t[97])/2 + 
       144*t[98] - 260*t[99] - 160*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((-11*t[1])/3 - 
       (251*t[2])/12 + (1177*t[3])/96 - (173*t[4])/12 + (345*t[5])/16 + 
       (6959*t[6])/96 - (635*t[7])/16 + (6521*t[8])/48 - (49*t[9])/48 - 
       (331*t[10])/12 - (1703*t[11])/96 + (485*t[12])/24 - (4555*t[13])/864 + 
       (5131*t[14])/288 + (36071*t[15])/1728 - 2*t[18] - 6*t[20] + 5*t[22] - 
       (4*t[24])/3 + (4*t[27])/3 + (37*t[28])/2 + (121*t[29])/4 - 
       (419*t[30])/24 + (7*t[31])/3 - (95*t[32])/24 + (33*t[33])/8 - 
       (29*t[34])/4 + (8*t[35])/3 + 4*t[36] + t[37]/3 - (14*t[38])/3 - 
       (8*t[39])/3 - (7*t[40])/3 - t[41]/3 + t[42]/3 - (11*t[43])/6 - 
       (73*t[44])/6 - (21*t[45])/2 - t[46] + (23*t[47])/6 + (2257*t[48])/32 + 
       (17*t[49])/24 - (2233*t[50])/96 - (105*t[51])/16 + (3257*t[52])/96 - 
       (27*t[53])/8 + (4903*t[54])/96 + (87*t[59])/8 - (1517*t[60])/48 + 
       (2267*t[61])/48 + (2849*t[62])/32 + (2283*t[63])/32 + (329*t[64])/96 + 
       (739*t[65])/8 + (6491*t[66])/72 - t[67]/2 + (4*t[70])/3 - 
       (4*t[71])/3 + (17*t[72])/3 + (143*t[73])/6 - (5*t[74])/3 - t[75]/2 + 
       (15*t[76])/2 - (7*t[77])/3 + (20*t[78])/3 + (61*t[79])/6 + t[80]/3 - 
       t[81]/4 + (59*t[82])/12 - (129*t[83])/2 + (103*t[84])/24 - t[85] - 
       (179*t[86])/6 - (259*t[87])/8 - (895*t[88])/48 - (59*t[89])/32 + 
       (16*t[95])/3 - (10*t[96])/3 - (5*t[97])/6 + 64*t[98] - 44*t[99] - 
       (317*t[100])/2) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-21*t[1])/2 + 21*t[2] + (111*t[3])/8 + 33*t[4] + (191*t[5])/4 + 
       (855*t[6])/16 - (537*t[7])/4 + 78*t[8] - (595*t[9])/8 - 96*t[10] - 
       (19*t[11])/16 - (49*t[12])/2 + (901*t[13])/12 - (2015*t[14])/48 - 
       (89*t[15])/12 + (3*t[29])/2 + (15*t[30])/2 - (9*t[32])/2 + 
       (9*t[33])/2 + (21*t[34])/2 - (21*t[38])/4 - (63*t[39])/4 + 
       (11*t[40])/4 - (21*t[41])/4 + (21*t[42])/4 + 6*t[43] - (75*t[44])/4 - 
       6*t[45] + (15*t[47])/2 + (81*t[48])/16 - (27*t[49])/4 - 
       (375*t[50])/16 - (9*t[51])/4 + (543*t[52])/16 - (57*t[53])/4 + 
       (123*t[54])/16 - (21*t[59])/4 + (603*t[60])/4 - (617*t[61])/4 + 
       (935*t[62])/8 - (1151*t[63])/8 + (343*t[64])/8 + (135*t[65])/4 - 
       (107*t[66])/2 - 18*t[72] - (9*t[76])/2 + (23*t[77])/2 + 63*t[78] + 
       15*t[80] + 15*t[81] - (87*t[82])/2 - 6*t[83] + 69*t[84] + 
       (159*t[85])/2 + 60*t[86] - 75*t[87] - (75*t[88])/2 + (509*t[89])/8 - 
       27*t[96] - 21*t[97] - 54*t[98] + 198*t[99] - 153*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((21*t[1])/4 - (21*t[2])/8 + 12*t[3] + (205*t[4])/4 + (693*t[5])/16 - 
       25*t[6] + (189*t[7])/8 + (111*t[8])/8 - (1383*t[9])/16 - 
       (263*t[10])/4 - (121*t[11])/8 - (1247*t[12])/16 - (311*t[13])/24 - 
       (661*t[14])/12 + (519*t[15])/32 + (3*t[17])/2 - 12*t[19] + 12*t[20] + 
       12*t[21] - 6*t[22] - (25*t[23])/2 - 3*t[24] + 6*t[27] + 18*t[29] + 
       (69*t[30])/2 + (9*t[32])/2 - (15*t[33])/2 - (33*t[34])/2 + 12*t[37] + 
       (21*t[38])/2 - (33*t[39])/2 + (141*t[40])/4 - 8*t[41] + 5*t[42] + 
       6*t[44] - (9*t[45])/4 - (69*t[47])/4 + 27*t[48] + (85*t[49])/8 + 
       18*t[50] - t[51]/16 - 57*t[52] - (85*t[53])/8 - (151*t[54])/4 - 
       (85*t[59])/8 - (481*t[60])/8 + (13*t[61])/8 + (505*t[62])/8 - 
       (49*t[63])/8 - (161*t[64])/16 + (61*t[65])/6 + (3185*t[66])/24 - 
       (3*t[68])/2 + t[71] - 12*t[72] - (111*t[76])/4 + (147*t[78])/4 - 
       15*t[80] - (51*t[81])/2 + (21*t[82])/4 - (21*t[84])/2 + 19*t[85] + 
       36*t[86] + (127*t[87])/2 + (127*t[88])/4 + (845*t[89])/16 + 
       (3*t[90])/2 - (21*t[97])/4 - 54*t[98] + 198*t[99] - 153*t[100]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u]*(-24*t[3] + 48*t[4] + 42*t[5] - 
       113*t[6] + 238*t[7] - 502*t[8] + 146*t[9] - 24*t[10] + 197*t[11] - 
       6*t[12] + 46*t[13] + 23*t[14] + (46*t[15])/3 - 48*t[29] + 48*t[30] + 
       154*t[44] - 149*t[48] + 12*t[49] + 125*t[50] - 6*t[51] - 125*t[52] - 
       12*t[53] - 149*t[54] - 58*t[60] + 298*t[61] - 202*t[62] + 188*t[63] - 
       151*t[64] - 140*t[65] - (728*t[66])/3 + 24*t[81] - 24*t[82] - 
       12*t[84] + 82*t[87] + 41*t[88] - 113*t[89] - 144*t[100]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w]*(-81*t[2] + 36*t[3] + 18*t[5] + 
       41*t[6] - 82*t[7] + 106*t[8] - 184*t[9] - 24*t[10] - 41*t[11] + 
       18*t[12] - 9*t[13] - (343*t[14])/3 + (167*t[15])/3 - 40*t[29] + 
       48*t[30] - 48*t[32] + 48*t[33] + 48*t[44] + 5*t[48] - 29*t[50] + 
       29*t[52] + 29*t[54] + 52*t[59] - 130*t[60] - 92*t[61] + 133*t[62] + 
       91*t[63] + (278*t[65])/3 + (632*t[66])/3 + 8*t[67] - 48*t[70] + 
       48*t[71] - 48*t[74] - 24*t[84] - 24*t[85] + 130*t[87] + 65*t[88] + 
       29*t[89] - 144*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*(-3*t[1] - (7*t[2])/2 + 
       (239*t[3])/8 + (23*t[4])/2 - 12*t[5] - (103*t[6])/16 - (67*t[7])/4 - 
       40*t[8] - (93*t[9])/8 - (103*t[10])/4 + (711*t[11])/16 + 
       (75*t[12])/4 + (401*t[13])/8 - (95*t[14])/48 - (691*t[15])/72 + 
       2*t[19] - 2*t[20] - 2*t[21] - 2*t[28] - (5*t[29])/2 - 4*t[30] + 
       2*t[31] - (39*t[32])/2 + 6*t[33] + 8*t[34] + 4*t[35] + 2*t[36] - 
       6*t[37] - 3*t[38] + 6*t[39] - 9*t[40] + t[42] - t[43] + (41*t[44])/4 - 
       14*t[45] + 2*t[46] + 12*t[47] - (357*t[48])/16 + (11*t[49])/4 - 
       (145*t[50])/16 - (31*t[51])/8 + (241*t[52])/16 - (11*t[53])/4 - 
       (327*t[54])/16 - t[59] + (91*t[60])/8 - (137*t[61])/8 + 
       (513*t[62])/16 + (119*t[63])/16 + (239*t[64])/16 - (493*t[65])/24 - 
       (849*t[66])/8 - 4*t[70] + 4*t[71] + 8*t[73] - 4*t[74] - 8*t[75] + 
       23*t[76] - 2*t[77] - 18*t[78] + 22*t[80] + 21*t[81] - 4*t[82] - 
       2*t[83] + (3*t[84])/8 + (155*t[85])/8 - (263*t[87])/8 - 
       (583*t[88])/16 - (483*t[89])/16 + 4*t[95] + 4*t[96] - 2*t[97] + 
       120*t[98] - 96*t[99] - 141*t[100]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u]*
      (3*t[1] + (7*t[2])/4 - (163*t[3])/2 + (281*t[4])/4 - (75*t[5])/2 - 
       (135*t[6])/4 + 103*t[7] - (209*t[8])/4 + 100*t[9] + (1083*t[10])/8 + 
       (213*t[11])/2 + (525*t[12])/8 + (271*t[13])/4 + (4559*t[14])/48 + 
       (237*t[15])/8 - 4*t[17] + 7*t[24] + 12*t[27] - 18*t[30] - 2*t[33] - 
       4*t[34] - 3*t[37] + 4*t[38] - (71*t[39])/2 + 42*t[40] - (3*t[41])/2 + 
       (3*t[42])/2 - (3*t[43])/2 - 6*t[44] + 8*t[45] + 4*t[46] + 40*t[47] - 
       (85*t[48])/2 - (341*t[49])/8 + (45*t[50])/2 + (325*t[51])/16 - 
       (153*t[52])/2 + (301*t[53])/8 - (7*t[54])/4 + t[55]/2 + t[59]/2 + 
       (633*t[60])/4 + (1175*t[61])/4 - (1763*t[62])/8 - (845*t[63])/8 - 
       (1761*t[64])/8 - (55*t[65])/2 - (283*t[66])/3 - t[67]/2 - 6*t[70] + 
       6*t[71] - t[74] + 16*t[76] + 40*t[77] - 34*t[78] + 6*t[80] + 
       (13*t[81])/2 - (13*t[82])/2 + (9*t[84])/2 + (9*t[85])/4 - 6*t[86] - 
       (37*t[87])/4 - (37*t[88])/8 + (165*t[89])/8 - 4*t[92] + 4*t[94] - 
       96*t[98] + 132*t[99] - 132*t[100]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w]*
      (-3*t[1] - (167*t[2])/2 + 102*t[3] - (51*t[4])/2 + (99*t[5])/8 + 
       (213*t[6])/2 - (325*t[7])/4 - 49*t[8] - (861*t[9])/8 - (109*t[10])/4 - 
       106*t[11] - (363*t[12])/8 - (182*t[13])/3 - (2755*t[14])/24 - 
       (419*t[15])/48 - (7*t[17])/2 + 14*t[24] - 3*t[27] - 24*t[30] + 
       4*t[32] + 14*t[33] + 2*t[34] - 3*t[37] - 2*t[38] - 14*t[39] - t[40] - 
       21*t[41] + 21*t[42] - (3*t[43])/2 + 21*t[44] + (19*t[45])/2 + 
       t[46]/2 - (127*t[47])/2 - (183*t[48])/4 + (51*t[49])/4 - 
       (11*t[50])/4 - (31*t[51])/4 + (15*t[52])/4 - (19*t[53])/4 + 
       (185*t[54])/4 + 4*t[55] - t[59] - 157*t[60] - (209*t[61])/2 + 
       (475*t[62])/4 + (1447*t[63])/4 + (99*t[64])/2 - (3113*t[65])/12 + 
       (2245*t[66])/12 + 4*t[67] + 15*t[68] + 8*t[74] + (35*t[76])/2 + 
       t[77] - (275*t[78])/2 - (65*t[81])/2 + 42*t[82] - (277*t[84])/4 + 
       (75*t[85])/2 - 6*t[86] + (121*t[87])/2 + (121*t[88])/4 - 163*t[89] + 
       4*t[92] - 4*t[94] - 6*t[97] - 96*t[98] + 132*t[99] - 132*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((7*t[1])/8 + (121*t[2])/6 - (829*t[3])/12 + (159*t[4])/32 - 
       (2967*t[5])/64 + (277*t[6])/6 + (271*t[7])/16 + (2951*t[8])/24 + 
       (11675*t[9])/192 + (1183*t[10])/192 - (295*t[11])/32 - 
       (773*t[12])/48 - (9869*t[13])/864 + (15929*t[14])/384 + 
       (19537*t[15])/3456 + (3*t[17])/4 + t[18]/2 - t[19]/2 + (17*t[20])/3 - 
       t[21]/2 - 3*t[22] + (9*t[23])/4 - (3*t[24])/2 + (7*t[27])/3 + 
       (26*t[28])/3 + (11*t[29])/8 + (13*t[30])/12 - (25*t[31])/6 + 
       (61*t[32])/4 - (7*t[33])/3 + (7*t[34])/4 - (41*t[35])/6 + 
       (43*t[36])/6 + (23*t[37])/12 + (5*t[38])/24 + (19*t[39])/24 - t[40] - 
       (25*t[41])/12 + (4*t[42])/3 - (67*t[43])/32 - (23*t[44])/16 + 
       (199*t[45])/8 + (11*t[46])/4 - (59*t[47])/2 + (105*t[48])/4 - 
       (585*t[49])/64 + (185*t[50])/24 + (719*t[51])/384 - (233*t[52])/24 + 
       (1147*t[53])/192 + (1473*t[54])/32 + t[55]/8 - t[56]/4 + t[57]/2 - 
       t[59] + (2519*t[60])/32 + (11035*t[61])/96 - (11033*t[62])/192 - 
       (11291*t[63])/192 - (3517*t[64])/192 + (2387*t[65])/96 - 
       (13331*t[66])/288 - (19*t[68])/8 - t[69] + (11*t[70])/3 - 
       (11*t[71])/3 + (10*t[72])/3 + 5*t[73] + (85*t[74])/12 - 2*t[75] - 
       (211*t[76])/24 - (13*t[77])/4 + (59*t[78])/2 - (17*t[79])/2 - 
       (67*t[80])/2 + (211*t[81])/24 - (125*t[82])/12 + (61*t[83])/6 + 
       (3475*t[84])/96 - (101*t[85])/96 + (227*t[86])/8 + (2933*t[87])/96 + 
       (6517*t[88])/192 + (4967*t[89])/192 + t[90]/8 - t[91]/24 + t[93]/2 - 
       (53*t[95])/6 - (101*t[96])/12 - (7*t[97])/12 - 142*t[98] + 191*t[99] - 
       130*t[100]) + HPL[{0, 1}, 1 - w]*Qep[w, u, v]*
      ((-64*t[1])/3 + (728*t[2])/9 - (1280*t[3])/9 - (352*t[4])/3 + 
       (248*t[5])/3 + (527*t[6])/3 - (1496*t[7])/9 + (2612*t[8])/9 - 
       (62*t[9])/3 - (944*t[10])/9 - (1357*t[11])/9 + (716*t[12])/9 - 
       (3712*t[13])/81 + (2563*t[14])/27 - (1123*t[15])/81 + (64*t[20])/9 + 
       (256*t[24])/9 + (64*t[27])/9 - (128*t[29])/9 - 32*t[30] + 
       (64*t[31])/3 + (344*t[32])/9 - (64*t[33])/9 + (640*t[34])/9 + 
       (32*t[36])/3 + (160*t[37])/9 - (64*t[38])/9 - (128*t[39])/9 - 
       (280*t[40])/9 - (16*t[41])/9 + (16*t[42])/9 - (16*t[43])/9 - 
       (128*t[44])/3 - (128*t[45])/3 - (16*t[46])/3 + (32*t[47])/3 + 
       (97*t[48])/3 + (32*t[49])/9 - (569*t[50])/9 - (4*t[51])/3 + 
       (1145*t[52])/9 - (160*t[53])/9 + (709*t[54])/9 - (224*t[59])/9 + 
       (2462*t[60])/9 - (3398*t[61])/9 + (1451*t[62])/9 - (1931*t[63])/9 + 
       57*t[64] - (434*t[65])/9 - (250*t[66])/27 + (64*t[70])/9 - 
       (64*t[71])/9 - (32*t[73])/3 + (64*t[74])/3 + (32*t[75])/3 + 
       (128*t[76])/9 - (32*t[77])/9 + (640*t[78])/9 - (64*t[80])/3 + 
       (16*t[81])/9 + (176*t[82])/9 - (224*t[83])/9 + (86*t[84])/3 + 
       (986*t[85])/9 - (128*t[86])/3 - (802*t[87])/9 - 9*t[88] - 
       (185*t[89])/3 - (64*t[95])/3 - (256*t[96])/9 + (512*t[98])/3 - 
       128*t[99] - 128*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-5*t[1] + 8*t[2] - (67*t[3])/8 - 41*t[4] + 
       (823*t[5])/12 + 15*t[6] - (323*t[7])/12 - (143*t[8])/12 - 
       (101*t[9])/6 - (65*t[10])/6 + (94*t[11])/3 + (229*t[12])/6 + 
       (99*t[13])/8 + (655*t[14])/36 + (6331*t[15])/432 + t[20] + 
       (4*t[28])/3 - (2*t[29])/3 - (73*t[30])/6 + 15*t[31] - (23*t[32])/6 + 
       (3*t[33])/2 + (103*t[34])/3 + 32*t[35] - 10*t[38] - (45*t[40])/2 + 
       3*t[44] - 35*t[45] + 25*t[47] + (45*t[48])/4 + (39*t[49])/2 - 
       (227*t[50])/12 - (59*t[51])/4 + (587*t[52])/12 - (39*t[53])/2 - 
       19*t[54] + (8*t[59])/3 + (17*t[60])/3 - (383*t[61])/6 - (13*t[62])/4 + 
       (191*t[63])/4 + (1297*t[64])/12 - (1457*t[65])/36 - (2899*t[66])/36 + 
       t[69] + 15*t[72] + 8*t[73] - (16*t[74])/3 + 12*t[75] + 50*t[76] - 
       20*t[78] - 8*t[79] + 30*t[80] + (23*t[81])/3 + (7*t[82])/3 + 
       (55*t[83])/6 - (425*t[84])/12 + (103*t[85])/12 + (106*t[86])/3 - 
       (619*t[87])/12 - (253*t[88])/8 - (293*t[89])/3 + (32*t[95])/3 + 
       5*t[97] + 240*t[98] - 240*t[99] - 122*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (21*t[2] + 7*t[3] + 31*t[4] - 10*t[5] + 11*t[6] - 6*t[7] + 43*t[8] + 
       6*t[9] - (19*t[10])/2 + 53*t[11] + (7*t[12])/2 + (247*t[13])/9 + 
       (251*t[14])/12 + (178*t[15])/9 - 2*t[20] + 4*t[22] + 2*t[29] - 
       2*t[31] - 3*t[32] - 4*t[36] - 4*t[37] + 3*t[40] - 2*t[41] + 2*t[42] - 
       9*t[44] + 2*t[46] - 4*t[47] - 2*t[48] + (13*t[49])/2 + 2*t[50] - 
       (7*t[51])/4 - 2*t[52] - (13*t[53])/2 - 7*t[54] + 5*t[60] + 56*t[61] - 
       35*t[62] + t[63] - (151*t[64])/2 - (31*t[65])/3 - 59*t[66] - 2*t[69] + 
       2*t[72] - 4*t[75] - 6*t[76] - 8*t[79] + 4*t[80] + 2*t[81] - 14*t[82] + 
       13*t[83] - 3*t[84] - 8*t[85] + 36*t[86] - 21*t[87] - (21*t[88])/2 - 
       (31*t[89])/2 + 16*t[99] - 122*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*(3*t[2] + 21*t[3] - 
       (7*t[4])/2 + (123*t[5])/4 + (25*t[6])/2 + (3*t[7])/2 + (85*t[8])/2 - 
       (59*t[9])/4 - (161*t[10])/4 + (47*t[11])/2 + (31*t[12])/2 + 
       (63*t[13])/4 - (295*t[14])/24 - (25*t[15])/72 - 16*t[30] - 4*t[31] - 
       t[32] - 8*t[34] - 4*t[35] + 4*t[36] - 2*t[43] - 4*t[44] - 2*t[46] + 
       10*t[48] - (29*t[49])/4 - 19*t[50] + (17*t[51])/8 + 19*t[52] + 
       (29*t[53])/4 + (5*t[54])/2 + (37*t[60])/2 + (71*t[61])/2 + 
       (25*t[62])/4 - (61*t[63])/4 + (111*t[64])/4 + (13*t[65])/2 - 
       (5*t[66])/2 + 4*t[72] - 6*t[76] + 8*t[79] - 4*t[81] + 8*t[82] - 
       28*t[83] + (9*t[84])/2 - (17*t[85])/2 + 8*t[86] - (55*t[87])/2 - 
       (55*t[88])/4 - (21*t[89])/4 + 16*t[99] - 122*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u]*(76*t[4] + 83*t[5] - 
       69*t[6] + 168*t[7] - 456*t[8] + 134*t[9] - 38*t[10] + 175*t[11] - 
       23*t[12] + 89*t[13] - (26*t[14])/3 - (293*t[15])/6 + 114*t[44] - 
       79*t[48] + 28*t[49] + 79*t[50] - 14*t[51] - 79*t[52] - 28*t[53] - 
       135*t[54] + 46*t[60] + 162*t[61] - 138*t[62] - 52*t[63] - 85*t[64] - 
       (406*t[65])/3 - 394*t[66] + 44*t[81] - 44*t[82] + 10*t[84] + 
       56*t[85] - 26*t[87] - 13*t[88] - 51*t[89] - 120*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*(-108*t[2] - 10*t[3] - 
       55*t[5] + 25*t[6] - 30*t[7] + 230*t[8] - 61*t[9] - 20*t[10] - 
       61*t[11] + 33*t[12] - 12*t[13] - 36*t[14] + (295*t[15])/6 - 8*t[18] - 
       22*t[29] + 15*t[48] - 15*t[50] + 15*t[52] + 15*t[54] + 35*t[59] - 
       50*t[60] - 145*t[61] + 143*t[62] + 105*t[63] - 50*t[64] + 170*t[65] + 
       (620*t[66])/3 + 4*t[67] + 8*t[69] - 40*t[70] + 40*t[71] - 88*t[74] + 
       50*t[87] + 25*t[88] + 51*t[89] - 120*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (-5*t[1] - (335*t[2])/12 + (3355*t[3])/12 + (1145*t[4])/12 + 
       (3235*t[5])/24 - (10085*t[6])/48 - (335*t[7])/6 - (4055*t[8])/12 - 
       (1015*t[9])/6 + (715*t[10])/24 + (11005*t[11])/48 + 35*t[12] + 
       (10895*t[13])/108 - (2705*t[14])/36 - (9805*t[15])/216 + 
       (40*t[24])/3 - (40*t[27])/3 - 10*t[28] + (35*t[29])/3 + 
       (110*t[30])/3 - (265*t[32])/3 + (25*t[33])/3 + 40*t[34] + 20*t[35] - 
       20*t[36] + (5*t[37])/3 - (20*t[38])/3 + (50*t[39])/3 - (25*t[40])/6 + 
       (5*t[41])/6 - (5*t[42])/6 + (5*t[43])/6 - (155*t[44])/6 - 
       (185*t[45])/3 - 5*t[46] + 60*t[47] - (1705*t[48])/16 + (535*t[49])/8 - 
       (645*t[50])/16 - (1465*t[51])/48 + (1615*t[52])/48 - (965*t[53])/24 - 
       (3195*t[54])/16 - (25*t[59])/3 - (6925*t[60])/24 - (1535*t[61])/24 - 
       (1525*t[62])/48 + (15005*t[63])/48 + (12785*t[64])/48 - 
       (20945*t[65])/72 - (18175*t[66])/72 - (70*t[70])/3 + (70*t[71])/3 + 
       (80*t[72])/3 - 20*t[73] - 15*t[74] + 20*t[75] + (245*t[76])/3 - 
       (35*t[77])/3 - (355*t[78])/3 + (170*t[80])/3 + (45*t[81])/2 + 
       (85*t[82])/6 + (80*t[83])/3 - (3905*t[84])/24 - (1655*t[85])/24 - 
       10*t[86] - (2905*t[87])/24 - (2835*t[88])/16 - (10295*t[89])/48 + 
       50*t[95] + (190*t[96])/3 + 10*t[97] + 520*t[98] - 540*t[99] - 
       120*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (-5*t[1] - (965*t[2])/12 + (5725*t[3])/24 + (185*t[4])/4 + 
       (405*t[5])/8 - (3365*t[6])/16 + (2585*t[7])/12 - (3385*t[8])/6 + 
       (155*t[9])/4 - (1175*t[10])/24 + (10135*t[11])/48 + (275*t[12])/6 + 
       (21485*t[13])/216 - (695*t[14])/18 + (2905*t[15])/432 - (40*t[20])/3 - 
       (40*t[24])/3 - (40*t[27])/3 + (55*t[29])/6 + 10*t[30] - 
       (245*t[32])/3 - (35*t[33])/3 + (50*t[34])/3 + 20*t[36] + (5*t[37])/3 - 
       (20*t[38])/3 + (80*t[39])/3 + (5*t[40])/6 + (5*t[41])/6 - 
       (5*t[42])/6 + (5*t[43])/6 + (115*t[44])/4 - 65*t[45] - 5*t[46] + 
       70*t[47] - (1735*t[48])/16 + (695*t[49])/24 + (1775*t[50])/48 - 
       (265*t[51])/16 - (2735*t[52])/48 - (55*t[53])/24 - (8035*t[54])/48 + 
       (50*t[59])/3 - (9835*t[60])/24 + (2845*t[61])/24 - (3905*t[62])/48 + 
       (25025*t[63])/48 + (2215*t[64])/16 - (2335*t[65])/24 - 
       (3415*t[66])/72 - (70*t[70])/3 + (70*t[71])/3 - 20*t[73] - 25*t[74] + 
       20*t[75] + (235*t[76])/3 - (25*t[77])/3 - (325*t[78])/3 - 40*t[79] + 
       70*t[80] + (85*t[81])/6 + (155*t[82])/6 + (80*t[83])/3 - 
       (1195*t[84])/8 - (2035*t[85])/24 + 30*t[86] - (1405*t[87])/24 - 
       (2335*t[88])/16 - (2855*t[89])/16 + 50*t[95] + (190*t[96])/3 + 
       10*t[97] + 520*t[98] - 540*t[99] - 120*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (-5*t[1] + (21*t[2])/2 + (147*t[3])/4 + 25*t[4] - (59*t[5])/4 - 
       9*t[6] + 24*t[7] - (223*t[8])/2 + (79*t[9])/4 - 34*t[10] + 37*t[11] + 
       (35*t[12])/4 + (805*t[13])/36 + (245*t[14])/12 + (29*t[15])/12 - 
       2*t[19] - 2*t[21] + 2*t[23] + 2*t[24] + 3*t[29] + 6*t[30] + 4*t[31] - 
       (31*t[32])/2 + 2*t[33] + 18*t[34] - 2*t[36] - 3*t[38] + 4*t[39] - 
       5*t[40] - 4*t[41] + 3*t[42] + (11*t[44])/2 - 20*t[45] + 2*t[46] + 
       8*t[47] - (67*t[48])/2 + 14*t[49] + (21*t[50])/2 - 9*t[51] - 
       (13*t[52])/2 - 14*t[53] - (53*t[54])/2 - 3*t[59] - (89*t[60])/2 + 
       (7*t[61])/2 + (113*t[62])/4 + (575*t[63])/4 - (183*t[64])/4 - 
       (265*t[65])/6 - (43*t[66])/3 - 2*t[69] - 2*t[70] + 2*t[71] - 2*t[72] + 
       2*t[73] + 2*t[74] - 4*t[75] + 17*t[76] - 4*t[77] - 22*t[78] - 
       12*t[79] + 4*t[80] + 8*t[81] + 5*t[82] + 10*t[83] - (35*t[84])/2 + 
       18*t[85] - 12*t[86] - (89*t[87])/2 - (169*t[88])/4 - (229*t[89])/4 + 
       4*t[95] + 4*t[96] - 2*t[97] + 96*t[98] - 64*t[99] - 112*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*(-7*t[1] - (27*t[2])/4 - 
       (411*t[3])/8 + (183*t[4])/8 - (183*t[5])/4 + (245*t[6])/16 + 
       (687*t[7])/8 + (201*t[8])/4 + (431*t[9])/4 - (477*t[10])/16 + 
       (1719*t[11])/16 + (1077*t[12])/16 - (1231*t[13])/144 + 
       (2841*t[14])/32 + (13*t[15])/2 + (5*t[17])/4 + 4*t[18] - 3*t[20] + 
       t[21] - t[22]/2 - t[23] + t[24]/2 + 3*t[25] + (13*t[26])/4 - 3*t[27] + 
       (3*t[29])/2 - 5*t[30] - 3*t[31] - 2*t[32] - (3*t[33])/2 + 
       (31*t[34])/2 - 9*t[38] + (3*t[39])/2 + 2*t[40] + 7*t[41] - 
       (13*t[42])/4 - (41*t[43])/4 - (7*t[44])/2 + 5*t[45] - (3*t[46])/2 - 
       t[47] + (223*t[48])/16 + (53*t[49])/16 + (103*t[50])/16 - 
       (73*t[51])/32 - (407*t[52])/16 - (53*t[53])/16 + (199*t[54])/16 + 
       (17*t[58])/4 + 18*t[59] + (113*t[60])/2 + (857*t[61])/4 - 135*t[62] + 
       (15*t[63])/2 + (229*t[64])/4 + (75*t[65])/4 - (1057*t[66])/12 + 
       t[67]/2 + t[68] + 3*t[69] - 17*t[70] + 17*t[71] + 6*t[72] - 3*t[74] + 
       2*t[77] + 19*t[78] + 19*t[80] + 9*t[81] - (19*t[82])/2 + 
       (49*t[84])/4 - 24*t[85] + 21*t[86] - 13*t[87] - (13*t[88])/2 - 
       (97*t[89])/4 - t[90] - t[92] - 120*t[98] + 192*t[99] - 111*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      ((45*t[2])/8 - (75*t[3])/4 - (147*t[4])/4 - (435*t[5])/16 + 
       (167*t[6])/16 + 19*t[7] + (517*t[8])/8 + (567*t[9])/16 + 
       (37*t[10])/8 + (277*t[11])/16 + (97*t[12])/16 - (271*t[13])/12 + 
       (581*t[14])/12 + (349*t[15])/96 + (5*t[16])/4 + t[25] + (13*t[26])/2 - 
       2*t[27] - 8*t[30] + (9*t[36])/2 + 5*t[37] - (11*t[38])/2 + 
       (23*t[39])/4 - 8*t[40] - 8*t[43] + 5*t[44] - t[45] + 3*t[46] + 
       2*t[47] + (361*t[48])/16 + (41*t[49])/4 + (25*t[50])/16 - 
       (19*t[51])/2 + (39*t[52])/16 - (11*t[53])/4 + (475*t[54])/16 + 
       (33*t[59])/2 - 45*t[60] + (947*t[61])/8 - (925*t[62])/16 + 
       (1065*t[63])/16 + (1091*t[64])/16 - (223*t[65])/3 - (637*t[66])/8 + 
       t[67]/2 - (3*t[68])/4 + 3*t[69] - 13*t[70] + 13*t[71] + 3*t[72] - 
       t[74] - (67*t[76])/4 + 7*t[78] + (33*t[80])/2 - (5*t[81])/2 + 
       (27*t[82])/2 - (11*t[84])/4 - (315*t[85])/8 - 18*t[86] + 
       (611*t[87])/8 + (219*t[88])/16 - (725*t[89])/16 - (7*t[90])/4 + 
       4*t[95] + (25*t[96])/2 - 2*t[97] - 120*t[98] + 192*t[99] - 
       111*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-2*t[1] + 6*t[2] - (169*t[3])/8 - 20*t[4] + 
       (93*t[5])/4 + (151*t[6])/4 - (51*t[7])/4 + (351*t[8])/4 + 7*t[9] + 
       5*t[10] + (51*t[11])/4 + (63*t[12])/2 + (169*t[13])/72 + 
       (253*t[14])/6 + (877*t[15])/48 + 10*t[28] + (15*t[29])/2 - 
       (7*t[30])/2 + 8*t[31] + 2*t[32] - t[33]/2 + 23*t[34] + 16*t[35] - 
       7*t[38] + 3*t[39] - 14*t[40] + t[41] - t[42] - 9*t[44] - 28*t[45] + 
       22*t[47] + 23*t[48] + (39*t[49])/2 - (31*t[50])/2 - (53*t[51])/4 + 
       (75*t[52])/2 - (31*t[53])/2 + (31*t[54])/4 + (3*t[59])/2 - 
       (55*t[60])/2 + 9*t[61] + t[62]/2 + 76*t[63] + (279*t[64])/4 - 
       (23*t[65])/12 + (167*t[66])/12 + 8*t[72] + 6*t[73] - 6*t[74] + 
       14*t[75] + 36*t[76] + 2*t[77] - 26*t[78] - 6*t[79] + 28*t[80] + 
       5*t[81] - t[82] - 2*t[83] - (159*t[84])/4 - (13*t[85])/4 + 10*t[86] - 
       (133*t[87])/4 - (169*t[88])/8 - (173*t[89])/4 + 12*t[95] + 6*t[96] + 
       8*t[97] + 240*t[98] - 240*t[99] - 108*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((43*t[2])/4 - 62*t[3] + (69*t[4])/4 - (349*t[5])/8 + (631*t[6])/16 + 
       (37*t[7])/2 + (293*t[8])/4 + 70*t[9] + (107*t[10])/8 + 
       (297*t[11])/16 + 3*t[12] + (211*t[13])/12 + 58*t[14] + (17*t[15])/18 - 
       2*t[24] + 4*t[28] - 2*t[29] - 6*t[30] - 2*t[31] + 12*t[32] - 5*t[33] + 
       4*t[34] - 2*t[35] + 2*t[36] + t[37] - t[38] + 6*t[39] - (17*t[40])/2 + 
       t[41]/2 - t[42]/2 - (3*t[43])/2 - t[44] + 3*t[45] + 2*t[46] + 
       (193*t[48])/16 - (15*t[49])/8 - (67*t[50])/16 - (9*t[51])/16 + 
       (131*t[52])/16 + (15*t[53])/8 + (411*t[54])/16 + t[59] + 
       (751*t[60])/8 + (657*t[61])/8 - (849*t[62])/16 - (1319*t[63])/16 - 
       (591*t[64])/16 + (59*t[65])/24 - (761*t[66])/8 + 2*t[70] - 2*t[71] + 
       2*t[72] + 4*t[73] + 3*t[74] + 8*t[76] + 3*t[77] + 10*t[78] - 8*t[79] - 
       10*t[80] + (31*t[81])/2 - (39*t[82])/2 + 4*t[83] + (215*t[84])/8 + 
       (73*t[85])/8 + 2*t[86] - (97*t[87])/8 + (63*t[88])/16 + 
       (413*t[89])/16 - 6*t[95] - 2*t[96] + 2*t[97] + 24*t[98] - 12*t[99] - 
       108*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-5*t[1])/3 - (49*t[2])/24 - (497*t[3])/12 + 
       (1151*t[4])/24 + (3539*t[5])/288 + (2605*t[6])/144 - (877*t[7])/36 - 
       (557*t[8])/144 - (179*t[9])/96 + (679*t[10])/72 + (775*t[11])/24 - 
       (4193*t[12])/288 + (15889*t[13])/432 + (19139*t[14])/432 + 
       (110401*t[15])/5184 + 6*t[20] - t[22] - (4*t[23])/3 + (163*t[28])/36 - 
       (377*t[29])/48 - (13*t[30])/12 + (25*t[31])/6 - (25*t[32])/3 + 
       (13*t[33])/3 + (20*t[34])/3 - (2*t[35])/3 - 8*t[36] - (5*t[37])/3 - 
       (11*t[38])/6 - (2*t[39])/3 - (95*t[40])/12 - 2*t[41] + 2*t[42] - 
       (10*t[43])/3 - (629*t[44])/144 + t[45]/2 + t[46]/2 - (7*t[47])/2 + 
       (755*t[48])/72 + (529*t[49])/48 - (1249*t[50])/144 - (581*t[51])/96 + 
       (1873*t[52])/144 - (187*t[53])/16 - (263*t[54])/144 + 4*t[59] + 
       (2837*t[60])/36 + (881*t[61])/12 + (10615*t[62])/288 - 
       (11891*t[63])/288 - (1030*t[64])/9 - (33599*t[65])/432 - 
       (55493*t[66])/432 - t[67]/6 + 2*t[69] + t[72]/6 - (35*t[73])/12 + 
       (31*t[74])/3 - (17*t[75])/12 + (37*t[76])/3 + 6*t[77] + (25*t[78])/3 - 
       (25*t[79])/12 - 17*t[80] + (33*t[81])/4 - (101*t[82])/12 - 
       (217*t[83])/36 + (1115*t[84])/48 + (99*t[85])/16 - (3527*t[86])/36 - 
       (3265*t[87])/72 - (3001*t[88])/144 - (491*t[89])/48 - (10*t[95])/3 + 
       (5*t[96])/3 - (2*t[97])/3 + 8*t[98] + 4*t[99] - (637*t[100])/6) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((7*t[1])/6 - (17*t[2])/12 + (845*t[3])/144 - (3871*t[4])/144 + 
       (419*t[5])/48 - (1195*t[6])/36 + (3379*t[7])/48 - (569*t[8])/8 - 
       (1883*t[9])/144 - (7925*t[10])/288 + (4591*t[11])/144 + 
       (2957*t[12])/288 - (119*t[13])/12 - (11695*t[14])/1728 - 
       (26059*t[15])/2592 - (10*t[18])/9 - (7*t[20])/9 - (2*t[22])/3 - 
       t[23]/6 + (19*t[24])/6 - (176*t[28])/9 - (253*t[29])/18 + 
       (23*t[30])/24 - (8*t[31])/3 + (179*t[32])/72 - (379*t[33])/72 - 
       (17*t[34])/18 - (19*t[35])/3 + 8*t[36] - (2*t[37])/3 + t[38] + 
       (25*t[39])/6 - (71*t[40])/12 + (2*t[41])/3 - (2*t[42])/3 + 
       (19*t[43])/6 + (611*t[44])/24 - (11*t[45])/6 - t[46]/2 + (5*t[47])/2 - 
       (3931*t[48])/144 - (2015*t[49])/288 + (371*t[50])/18 + 
       (2087*t[51])/576 - (329*t[52])/18 + (2591*t[53])/288 - 
       (2957*t[54])/144 + (77*t[59])/36 + (809*t[60])/48 + (5105*t[61])/72 - 
       (12241*t[62])/96 + (919*t[63])/288 + (16531*t[64])/144 - 
       (433*t[65])/48 - (7633*t[66])/144 - t[67]/3 + (3*t[69])/2 + t[70] - 
       t[71] - (5*t[72])/2 - (25*t[73])/12 - (3*t[74])/2 - (211*t[75])/12 + 
       (17*t[76])/6 - (17*t[77])/3 + t[78]/2 + (19*t[79])/2 + 19*t[80] - 
       (101*t[81])/24 + (63*t[82])/8 + (271*t[83])/18 + (239*t[84])/144 - 
       (613*t[85])/72 + (1625*t[86])/18 + (2207*t[87])/48 + (2191*t[88])/96 - 
       (2837*t[89])/96 - (10*t[95])/3 - (2*t[96])/3 + (13*t[97])/6 + 
       8*t[98] + 4*t[99] - (637*t[100])/6) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*((5*t[1])/2 + (1265*t[2])/72 - 
       (5407*t[3])/144 + (29*t[4])/24 - (563*t[5])/48 + (7567*t[6])/192 - 
       (683*t[7])/72 + (13159*t[8])/144 + (329*t[9])/32 + (485*t[10])/144 - 
       (2621*t[11])/576 - (2129*t[12])/144 + (2359*t[13])/1296 + 
       (48149*t[14])/1728 + (47953*t[15])/5184 + (2*t[20])/9 + (2*t[24])/9 + 
       t[25] + (2*t[27])/9 + t[28] - (55*t[29])/36 - (5*t[30])/3 - 
       (11*t[31])/3 + (301*t[32])/36 + (35*t[33])/18 - (34*t[34])/9 - 
       4*t[35] - 4*t[36] - (46*t[37])/9 - t[38]/18 - (29*t[39])/18 + 
       (155*t[40])/72 - (7*t[41])/18 + (7*t[42])/18 - (11*t[43])/9 - 
       (127*t[44])/24 + (35*t[45])/3 + (13*t[46])/12 - (49*t[47])/3 + 
       (3233*t[48])/192 - (473*t[49])/144 - (4153*t[50])/576 + 
       (169*t[51])/96 + (2617*t[52])/576 - (23*t[53])/144 + 
       (16829*t[54])/576 + (5*t[59])/36 + (19451*t[60])/288 + 
       (23785*t[61])/288 - (10037*t[62])/576 - (37051*t[63])/576 - 
       (3275*t[64])/64 - (365*t[65])/288 - (33673*t[66])/864 + (26*t[70])/9 - 
       (26*t[71])/9 + (8*t[72])/3 + 4*t[73] + (11*t[74])/2 - 5*t[75] - 
       (89*t[76])/9 + (37*t[77])/18 + (80*t[78])/9 + (19*t[79])/3 - t[80]/3 + 
       (113*t[81])/36 - (119*t[82])/36 - (17*t[83])/18 + (2471*t[84])/96 - 
       (7*t[85])/288 - (11*t[86])/3 + (1511*t[87])/288 + (3181*t[88])/192 + 
       (2579*t[89])/192 - (26*t[95])/3 - (59*t[96])/9 - t[97]/2 - 
       (230*t[98])/3 + 96*t[99] - 103*t[100]) + HPL[{0, 0, 1}, 1 - u]*
      Omega2[w, u, v]*((-9*t[1])/4 + (25*t[2])/4 + (11*t[3])/4 + 
       (43*t[4])/4 - (37*t[5])/4 - (21*t[6])/16 + (5*t[7])/4 - (35*t[8])/2 + 
       (139*t[9])/8 - (41*t[10])/8 + (497*t[11])/16 + (69*t[12])/8 + 
       (373*t[13])/24 + (41*t[14])/2 - (425*t[15])/144 + 2*t[19] - 2*t[20] - 
       2*t[21] + t[22] + t[23] + t[25] - t[26] - t[27] - t[29] - t[30] - 
       2*t[31] - (9*t[32])/2 - 2*t[33] + (13*t[34])/2 - t[37] - (3*t[38])/2 + 
       5*t[39] - (7*t[40])/2 - t[41]/4 + (3*t[42])/4 - t[43]/2 - 
       (3*t[44])/2 - t[46] - t[47] - (227*t[48])/16 + (3*t[49])/8 - 
       (23*t[50])/16 - (3*t[51])/16 + (47*t[52])/16 - (3*t[53])/8 - 
       (89*t[54])/16 - 2*t[59] + (171*t[60])/8 + (329*t[61])/8 - 
       (105*t[62])/16 + (369*t[63])/16 - (131*t[64])/16 - (255*t[65])/8 - 
       (621*t[66])/8 - 2*t[70] + 2*t[71] + 4*t[72] - t[74] + 4*t[76] - 
       2*t[77] - t[78] - 8*t[80] + (21*t[81])/2 - (9*t[82])/2 + 
       (63*t[84])/8 - (15*t[85])/8 - 12*t[86] - (133*t[87])/8 - 
       (285*t[88])/16 - (415*t[89])/16 + 2*t[95] + 2*t[96] - t[97] + 
       12*t[98] - 102*t[100]) + HPL[{0, 0, 1}, 1 - w]*Omega2[w, u, v]*
      (t[1]/4 - (35*t[2])/4 + (25*t[3])/8 + (17*t[4])/2 - (139*t[5])/8 + 
       (41*t[6])/16 + (93*t[7])/4 - 11*t[8] + (91*t[9])/4 + (5*t[10])/4 + 
       (283*t[11])/16 + (49*t[12])/8 + (827*t[13])/72 + (875*t[14])/48 + 
       (361*t[15])/144 - t[19] - t[20] - t[21] + t[22] + t[23] + 2*t[25] - 
       t[26] - 2*t[27] + t[29]/2 - t[30] - t[31] - (15*t[32])/2 + t[33] + 
       t[34]/2 - t[37] - t[38]/2 + 2*t[39] + 2*t[40] - t[41]/4 + t[42]/4 - 
       t[43] + (11*t[44])/4 + t[45] + t[46] - 4*t[47] - t[48]/16 - t[49]/4 - 
       (69*t[50])/16 + t[51]/8 - (19*t[52])/16 + (5*t[53])/4 + 
       (93*t[54])/16 + (3*t[59])/2 + (19*t[60])/8 + (551*t[61])/8 - 
       (135*t[62])/16 + (447*t[63])/16 - (285*t[64])/16 - (155*t[65])/24 - 
       (593*t[66])/24 - 2*t[70] + 2*t[71] + 2*t[72] - t[74] + 3*t[76] - 
       t[77] - 5*t[78] - 2*t[80] + (11*t[81])/2 + t[82]/2 + t[83] - 
       (7*t[84])/8 - (89*t[85])/8 - 10*t[86] - (39*t[87])/8 - 
       (199*t[88])/16 - (115*t[89])/16 + 2*t[95] + 4*t[96] + t[97] + 
       12*t[98] - 102*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*(t[1]/2 + (217*t[2])/18 + 
       (647*t[3])/576 + (2111*t[4])/72 - (197*t[5])/16 + (22079*t[6])/1152 - 
       (2453*t[7])/288 + (367*t[8])/9 + (5045*t[9])/576 - (4*t[10])/9 + 
       (42649*t[11])/1152 + (209*t[12])/72 + (210295*t[13])/5184 + 
       (31775*t[14])/1152 - (121*t[15])/648 - t[18]/2 + 2*t[19] - 
       (7*t[20])/2 - 2*t[21] + (3*t[22])/2 + (5*t[24])/9 - t[25] - 
       (5*t[27])/9 + (29*t[28])/9 - (149*t[29])/36 + (109*t[30])/36 - 
       2*t[31] - (715*t[32])/72 + (83*t[33])/36 + (71*t[34])/12 - 
       (31*t[35])/6 - (5*t[36])/3 - (55*t[37])/18 - (4*t[38])/9 + 
       (137*t[39])/18 - (757*t[40])/144 + (23*t[41])/36 + (13*t[42])/36 - 
       (31*t[43])/36 - (179*t[44])/32 - (139*t[45])/36 + (19*t[46])/24 + 
       (13*t[47])/4 - (6995*t[48])/1152 + (407*t[49])/48 - 
       (19711*t[50])/1152 - (683*t[51])/144 + (22655*t[52])/1152 - 
       (773*t[53])/144 + (3655*t[54])/1152 - (169*t[59])/72 + 
       (3139*t[60])/192 + (22429*t[61])/576 + (7843*t[62])/1152 - 
       (11819*t[63])/1152 - (33167*t[64])/1152 - (10637*t[65])/576 - 
       (153773*t[66])/1728 - t[69]/2 - (37*t[70])/18 + (37*t[71])/18 + 
       (31*t[72])/9 + (5*t[73])/12 + t[74]/2 + (9*t[75])/4 + (191*t[76])/18 + 
       (31*t[77])/18 - (104*t[78])/9 - (13*t[79])/4 + (70*t[80])/9 + 
       (203*t[81])/12 - (263*t[82])/36 - (149*t[83])/18 + (1393*t[84])/576 + 
       (673*t[85])/576 - (829*t[86])/36 - (14573*t[87])/576 - 
       (29869*t[88])/1152 + (1783*t[89])/1152 + (8*t[95])/3 + (65*t[96])/9 + 
       t[97] + (197*t[98])/3 - 45*t[99] - (1201*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((3*t[1])/2 - (149*t[2])/24 + (29*t[3])/48 + (19*t[4])/3 - 
       (1573*t[5])/48 - (1721*t[6])/48 + (1493*t[7])/24 - (835*t[8])/8 + 
       (533*t[9])/16 + (15*t[10])/4 + (2515*t[11])/48 + (629*t[12])/48 + 
       (1915*t[13])/432 + (97*t[14])/72 - (169*t[15])/24 - 2*t[22] + 
       (2*t[24])/3 - (2*t[27])/3 - (47*t[28])/3 - (17*t[29])/4 - 
       (65*t[30])/4 + t[31] - (11*t[32])/6 + (59*t[33])/12 + (19*t[34])/6 + 
       6*t[35] - 4*t[36] - (2*t[37])/3 + (2*t[38])/3 - (5*t[39])/3 + 
       (5*t[40])/3 + t[41]/6 - t[42]/6 - (19*t[43])/12 + (107*t[44])/4 - 
       (53*t[45])/6 + t[46] + 16*t[47] - (1657*t[48])/48 + (9*t[49])/4 + 
       (485*t[50])/16 + (47*t[51])/24 - (1375*t[52])/48 - (11*t[53])/12 - 
       (1525*t[54])/48 - t[59]/12 + (19*t[60])/12 + (1267*t[61])/24 - 
       (1987*t[62])/12 - (113*t[63])/24 + (1477*t[64])/48 - (2035*t[65])/36 - 
       (3553*t[66])/36 + (4*t[70])/3 - (4*t[71])/3 + (7*t[72])/3 + 21*t[73] + 
       t[74]/3 - 53*t[75] - (14*t[76])/3 + (8*t[77])/3 - (20*t[78])/3 - 
       5*t[79] + (34*t[80])/3 - (65*t[81])/12 - (37*t[82])/4 + 37*t[83] - 
       t[84]/2 + (27*t[85])/8 + (229*t[86])/3 - (467*t[87])/24 + 
       (49*t[88])/48 - (1883*t[89])/48 - (14*t[95])/3 + (2*t[96])/3 + 
       2*t[97] + 8*t[98] - 24*t[99] - (193*t[100])/2) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((19*t[1])/2 + (13*t[2])/2 + 41*t[3] + 8*t[4] - (387*t[6])/8 - 
       (11*t[7])/2 - 88*t[8] - (13*t[9])/4 - 45*t[10] + (639*t[11])/8 - 
       t[12] + (1829*t[13])/36 - (145*t[14])/8 - (1465*t[15])/72 + 8*t[23] - 
       13*t[32] + 7*t[34] - 2*t[37] - 6*t[38] + 6*t[39] - 3*t[40] + 
       (7*t[41])/2 - (7*t[42])/2 + 4*t[44] - 6*t[45] + 4*t[47] - 
       (301*t[48])/8 - (3*t[49])/2 - (25*t[50])/8 - (3*t[51])/4 + 
       (33*t[52])/8 + (3*t[53])/2 - (331*t[54])/8 + 11*t[59] - (57*t[60])/4 + 
       (21*t[61])/4 + (125*t[62])/8 + (523*t[63])/8 + (373*t[64])/8 - 
       (115*t[65])/12 - (1831*t[66])/12 - 4*t[70] + 4*t[71] - 2*t[74] + 
       9*t[76] - 4*t[77] - 10*t[78] + 2*t[80] + 10*t[81] - t[82] - 
       (15*t[84])/4 + (23*t[85])/4 - 16*t[86] - (91*t[87])/4 - 
       (243*t[88])/8 - (283*t[89])/8 + 4*t[95] + 4*t[96] - 2*t[97] + 
       48*t[98] - 24*t[99] - 96*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-23*t[1])/2 - 16*t[2] + (147*t[3])/4 + 
       (17*t[4])/2 - (169*t[5])/4 - (217*t[6])/8 + (49*t[7])/2 - 103*t[8] - 
       2*t[9] - (107*t[10])/4 + (301*t[11])/8 + (97*t[12])/2 + 
       (541*t[13])/36 - (125*t[14])/12 - (763*t[15])/72 - 2*t[19] - 2*t[20] - 
       2*t[21] + 2*t[22] + 2*t[23] - 4*t[27] + t[29] + 4*t[30] - 15*t[32] + 
       2*t[33] + t[34] + 9*t[38] + t[39] + t[40] - t[41]/2 + t[42]/2 - 
       t[43] + (7*t[44])/2 - 4*t[47] - (103*t[48])/8 + (35*t[49])/4 - 
       (3*t[50])/8 - (27*t[51])/8 - (69*t[52])/8 - (83*t[53])/4 - 
       (113*t[54])/8 + (3*t[59])/2 - (469*t[60])/4 + (199*t[61])/4 + 
       (175*t[62])/8 + (729*t[63])/8 + (87*t[64])/8 - (15*t[65])/4 - 
       (653*t[66])/12 - 4*t[70] + 4*t[71] - 4*t[72] - 2*t[74] + 9*t[76] - 
       8*t[77] - 17*t[78] - 12*t[80] + 5*t[81] - t[82] + 2*t[83] - 
       (89*t[84])/4 - (47*t[85])/4 - 12*t[86] + (39*t[87])/4 - 
       (113*t[88])/8 - (215*t[89])/8 + 4*t[95] + 10*t[96] + t[97] + 
       48*t[98] - 24*t[99] - 96*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*((9*t[1])/2 + (159*t[2])/8 - 
       (3109*t[3])/16 + (541*t[4])/8 - (3489*t[5])/16 + 135*t[6] + 
       (141*t[7])/4 + (1191*t[8])/4 + (2145*t[9])/16 + (1047*t[10])/16 + 
       (289*t[11])/4 - (133*t[12])/8 - (1391*t[13])/16 + (14641*t[14])/96 + 
       (47*t[15])/6 - (21*t[18])/2 - 6*t[20] + (21*t[22])/2 + 24*t[28] + 
       (249*t[29])/4 - 48*t[30] - 6*t[31] + (147*t[32])/4 + (57*t[33])/2 + 
       36*t[35] - 56*t[36] + 6*t[37] - (9*t[38])/4 - (69*t[39])/4 + 
       (33*t[40])/2 + (3*t[41])/4 - (3*t[42])/4 - (153*t[43])/8 - 
       (471*t[44])/8 - (39*t[45])/4 + 20*t[46] + 9*t[47] + (801*t[48])/8 + 
       (275*t[49])/16 + (195*t[50])/8 - (423*t[51])/32 + (33*t[52])/8 - 
       (419*t[53])/16 + (675*t[54])/8 + (9*t[59])/4 - (411*t[60])/4 + 
       (2501*t[61])/8 - (3779*t[62])/16 - (3381*t[63])/16 - (39*t[64])/16 + 
       (196*t[65])/3 - (571*t[66])/4 + 24*t[68] + 18*t[69] + 15*t[70] - 
       15*t[71] + 30*t[72] + 24*t[73] + (81*t[74])/2 + 10*t[75] - 
       (183*t[76])/2 + (13*t[77])/2 + 78*t[78] - 26*t[79] - 63*t[80] - 
       (163*t[81])/4 - (479*t[82])/4 + (267*t[84])/4 + (597*t[85])/8 + 
       102*t[86] - (515*t[87])/8 + (385*t[88])/16 + (31*t[89])/2 - 33*t[95] - 
       30*t[96] + 3*t[97] - 378*t[98] + 306*t[99] - 96*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*((9*t[1])/4 - 63*t[2] - 
       (641*t[3])/16 - (1695*t[4])/8 + (313*t[5])/4 + (2651*t[6])/16 - 
       236*t[7] + 679*t[8] - (1033*t[9])/8 - (367*t[10])/16 - 
       (3505*t[11])/16 + (1831*t[12])/16 - (21013*t[13])/144 + 
       (1267*t[14])/32 + (4393*t[15])/96 + 3*t[17] + (13*t[19])/2 - 
       12*t[20] + 12*t[21] + 18*t[22] - 12*t[23] + 12*t[24] + 6*t[26] + 
       30*t[28] - (105*t[29])/4 - (273*t[30])/2 - 6*t[31] + (69*t[32])/4 + 
       21*t[33] - (99*t[34])/2 + 18*t[35] + 66*t[36] + 4*t[37] - 
       (3*t[38])/2 + (3*t[39])/2 - (33*t[40])/4 + 18*t[41] - 12*t[42] - 
       6*t[43] - (837*t[44])/8 + (155*t[45])/4 - 18*t[46] - (41*t[47])/4 + 
       (1947*t[48])/16 - (1959*t[49])/16 - (2241*t[50])/16 + 
       (1701*t[51])/32 + (2409*t[52])/16 + (1959*t[53])/16 + 
       (3737*t[54])/16 + (489*t[59])/8 + (515*t[60])/8 + (529*t[61])/2 + 
       (1009*t[62])/16 - (7353*t[63])/16 + (2227*t[64])/8 + (4129*t[65])/12 + 
       (5573*t[66])/24 - 24*t[68] + 12*t[69] + 60*t[72] - 12*t[73] - 
       (23*t[74])/2 + 24*t[75] - 76*t[76] - 18*t[77] + (129*t[78])/4 + 
       20*t[79] - 62*t[80] - (451*t[81])/4 + 38*t[82] - 124*t[83] + 
       (359*t[84])/4 - (781*t[85])/8 - 26*t[86] + (637*t[87])/8 + 
       (1537*t[88])/16 + (1113*t[89])/16 - 33*t[95] - 12*t[96] + 
       (39*t[97])/4 - 378*t[98] + 306*t[99] - 96*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((3*t[1])/2 - (7*t[2])/8 - (43*t[3])/8 + (121*t[4])/8 - (25*t[5])/16 - 
       (73*t[6])/32 + (101*t[7])/4 + (77*t[8])/8 + (217*t[9])/4 + 
       (419*t[10])/16 + (1745*t[11])/32 + (93*t[12])/4 + (1165*t[13])/72 + 
       (871*t[14])/12 - (1139*t[15])/144 + t[24] - 4*t[27] - 3*t[28] + 
       t[29]/2 - 10*t[30] - (5*t[32])/2 - t[33]/2 + 12*t[34] + 6*t[35] - 
       6*t[36] + t[37]/2 - 2*t[38] + 11*t[39] - (53*t[40])/4 + (7*t[41])/4 - 
       (7*t[42])/4 + t[43]/4 - (37*t[44])/4 - (31*t[45])/2 - (3*t[46])/2 + 
       15*t[47] - (423*t[48])/32 + (309*t[49])/16 - (555*t[50])/32 - 
       (281*t[51])/32 + (875*t[52])/32 - (181*t[53])/16 - (309*t[54])/32 + 
       t[59]/2 + (1063*t[60])/16 + (1109*t[61])/16 - (2609*t[62])/32 - 
       (839*t[63])/32 - (443*t[64])/32 - (5077*t[65])/48 - (7859*t[66])/48 - 
       t[70] + t[71] + 5*t[72] - 6*t[73] + (3*t[74])/2 + 6*t[75] + 
       (55*t[76])/2 - t[77]/2 - (71*t[78])/2 + 23*t[80] + (39*t[81])/4 - 
       (31*t[82])/4 + 2*t[83] - (229*t[84])/16 - (43*t[85])/16 - 3*t[86] - 
       (1301*t[87])/16 - (1461*t[88])/32 - (1195*t[89])/32 + 3*t[95] + 
       13*t[96] + 9*t[97] + 156*t[98] - 168*t[99] - (189*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((3*t[1])/2 - (115*t[2])/8 - (199*t[3])/16 - (189*t[4])/8 - 
       (183*t[5])/16 + (261*t[6])/32 + (745*t[7])/8 - (47*t[8])/4 + 
       (183*t[9])/2 - (247*t[10])/16 + (899*t[11])/32 + (215*t[12])/8 + 
       (289*t[13])/144 + (833*t[14])/12 + (3755*t[15])/288 - 4*t[20] - 
       t[24] - 4*t[27] - t[29]/4 - 12*t[30] - 3*t[31] - t[32]/2 - 
       (13*t[33])/2 + 5*t[34] - 6*t[35] + 6*t[36] + t[37]/2 - 2*t[38] + 
       14*t[39] - (47*t[40])/4 + (7*t[41])/4 - (7*t[42])/4 - (5*t[43])/4 + 
       (9*t[44])/8 - (33*t[45])/2 - (3*t[46])/2 + 18*t[47] - (201*t[48])/32 + 
       (55*t[49])/16 + (43*t[50])/32 - (147*t[51])/32 + (149*t[52])/32 + 
       (73*t[53])/16 + (193*t[54])/32 + 8*t[59] + (205*t[60])/16 + 
       (1757*t[61])/16 - (2305*t[62])/32 + (1105*t[63])/32 - 
       (1059*t[64])/32 - (527*t[65])/16 - (2363*t[66])/48 - t[70] + t[71] + 
       3*t[72] - 6*t[73] - (3*t[74])/2 + 6*t[75] + (53*t[76])/2 + t[77]/2 - 
       (65*t[78])/2 - (21*t[79])/2 + 27*t[80] + (29*t[81])/4 + (19*t[82])/4 + 
       2*t[83] - (213*t[84])/16 - (119*t[85])/16 + (9*t[86])/2 - 
       (905*t[87])/16 - (1065*t[88])/32 - (1029*t[89])/32 + 3*t[95] + 
       13*t[96] + 9*t[97] + 156*t[98] - 168*t[99] - (189*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (-t[1] + (661*t[2])/144 + (2591*t[3])/144 + (457*t[4])/144 - 
       (225*t[5])/16 - (4753*t[6])/1152 + (1205*t[7])/18 - (10115*t[8])/288 + 
       (29585*t[9])/576 - (5003*t[10])/288 + (26633*t[11])/1152 + 
       (3481*t[12])/144 + (9881*t[13])/1296 + (83659*t[14])/3456 + 
       (38075*t[15])/10368 + (19*t[20])/18 - (3*t[22])/2 - (4*t[23])/3 - 
       (8*t[24])/9 + t[25]/2 - (5*t[27])/9 - (41*t[28])/18 - t[29]/4 + 
       (149*t[30])/24 + 2*t[31] - (149*t[32])/36 - (433*t[33])/72 + 
       (145*t[34])/18 + (15*t[35])/2 + 2*t[36] - (53*t[37])/36 - 
       (11*t[38])/18 + (145*t[39])/36 - (199*t[40])/144 - (47*t[41])/72 + 
       (47*t[42])/72 - (77*t[43])/72 + (50*t[44])/3 - (23*t[45])/3 - 
       (17*t[46])/24 + (43*t[47])/12 - (14095*t[48])/1152 + (95*t[49])/96 + 
       (1453*t[50])/128 - (383*t[51])/576 - (5447*t[52])/384 + 
       (755*t[53])/288 - (793*t[54])/128 + t[59]/24 - (10231*t[60])/576 + 
       (10513*t[61])/192 + (5485*t[62])/1152 + (95491*t[63])/1152 - 
       (95801*t[64])/1152 + (5009*t[65])/576 + (25181*t[66])/1728 + 2*t[69] - 
       (49*t[70])/18 + (49*t[71])/18 + (17*t[72])/6 + (13*t[73])/12 - 
       (71*t[74])/12 - (7*t[75])/4 + (503*t[76])/36 - (26*t[77])/9 - 
       (301*t[78])/18 + 5*t[79] + (19*t[80])/3 + (395*t[81])/72 + 
       (859*t[82])/72 + (2*t[83])/9 - (6497*t[84])/576 - (4061*t[85])/576 - 
       (185*t[86])/18 - (6103*t[87])/576 - (7357*t[88])/384 - 
       (12079*t[89])/384 + (19*t[95])/6 + (62*t[96])/9 + (5*t[97])/2 + 
       (215*t[98])/3 - 52*t[99] - (1129*t[100])/12) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]^2*(24*t[2] + (41*t[3])/2 + 
       22*t[4] + (75*t[5])/2 + (25*t[6])/4 - 13*t[7] + 24*t[8] - 27*t[9] - 
       21*t[10] + (179*t[11])/4 - t[12]/2 + (569*t[13])/18 - (9*t[14])/4 + 
       (779*t[15])/36 - 2*t[20] + 4*t[22] - 4*t[29] + 6*t[30] - 3*t[32] - 
       4*t[35] - 4*t[37] - 2*t[41] + 2*t[42] - 2*t[44] - 4*t[47] - 
       (5*t[48])/4 + 4*t[49] - (25*t[50])/4 - 2*t[51] + (25*t[52])/4 - 
       4*t[53] - (67*t[54])/4 - t[60]/2 + (67*t[61])/2 + (131*t[62])/4 + 
       (69*t[63])/4 - (383*t[64])/4 - (13*t[65])/6 - (93*t[66])/2 - 2*t[69] - 
       4*t[75] + 4*t[80] - 2*t[81] + 2*t[82] - 9*t[83] - (17*t[84])/2 - 
       (27*t[85])/2 - 20*t[86] - (11*t[87])/2 - (11*t[88])/4 - (87*t[89])/4 + 
       32*t[99] - 94*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]^2*
      (18*t[2] + 27*t[3] + (49*t[4])/2 + (79*t[5])/4 + (43*t[6])/4 + 
       (33*t[7])/2 + (35*t[8])/2 - (17*t[9])/4 - (133*t[10])/4 + 
       (197*t[11])/4 + (7*t[12])/2 + (991*t[13])/36 + (35*t[14])/24 + 
       (1081*t[15])/72 + 4*t[20] - 4*t[22] + 2*t[29] + 6*t[30] - t[32] - 
       8*t[34] - 4*t[35] - 4*t[37] - 2*t[41] + 2*t[42] + 11*t[44] - 4*t[47] + 
       (19*t[48])/4 + (11*t[49])/4 + (11*t[50])/4 - (11*t[51])/8 - 
       (11*t[52])/4 - (11*t[53])/4 - (65*t[54])/4 + 2*t[59] + 4*t[60] + 
       63*t[61] + (25*t[62])/2 + (53*t[63])/2 - 108*t[64] + 7*t[65] - 
       25*t[66] + 4*t[69] - 4*t[75] + 4*t[80] - 2*t[81] + 2*t[82] - 6*t[83] - 
       6*t[84] - 8*t[85] - 8*t[86] - 14*t[87] - 7*t[88] - 16*t[89] + 
       32*t[99] - 94*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-19*t[1])/6 + 
       (187*t[2])/24 - (587*t[3])/96 - (175*t[4])/12 + (2281*t[5])/144 + 
       (1453*t[6])/288 + (155*t[7])/16 - (1235*t[8])/144 + (475*t[9])/144 - 
       (119*t[10])/72 + (10195*t[11])/288 + (845*t[12])/36 + (59*t[13])/32 + 
       (6943*t[14])/288 + (76189*t[15])/5184 + (73*t[28])/9 - 
       (287*t[29])/72 + (49*t[30])/18 + (16*t[31])/3 - (101*t[32])/36 + 
       (7*t[33])/4 + (683*t[34])/36 + (44*t[35])/3 - 2*t[36] - (19*t[38])/3 - 
       8*t[40] + (949*t[44])/72 - (133*t[45])/6 + t[46] + (95*t[47])/6 - 
       (563*t[48])/288 + (409*t[49])/24 + (237*t[50])/32 - (175*t[51])/16 + 
       (371*t[52])/32 - (409*t[53])/24 - (5723*t[54])/288 - (37*t[59])/72 - 
       (8389*t[60])/144 + (1441*t[61])/144 - (9313*t[62])/288 + 
       (33797*t[63])/288 + (2003*t[64])/32 + (1799*t[65])/216 - 
       (491*t[66])/72 + (22*t[72])/3 + 7*t[73] - (59*t[74])/9 + 
       (19*t[75])/3 + (115*t[76])/6 - (38*t[78])/3 - 11*t[79] + 19*t[80] + 
       (76*t[81])/9 - (73*t[82])/9 + (17*t[83])/9 - (2453*t[84])/72 - 
       (203*t[85])/72 + (385*t[86])/9 - (81*t[87])/4 - (283*t[88])/18 - 
       (17975*t[89])/288 + (118*t[95])/9 + (19*t[97])/6 + 152*t[98] - 
       152*t[99] - (281*t[100])/3) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*(t[1]/2 + (89*t[2])/4 - (363*t[3])/8 + 
       (27*t[4])/4 - (55*t[5])/8 + (27*t[6])/4 + (51*t[7])/4 + (25*t[8])/4 + 
       (113*t[9])/8 + (15*t[10])/8 + (91*t[11])/4 + (17*t[12])/4 + 
       (41*t[13])/3 + (2947*t[14])/48 + (539*t[15])/72 + t[17]/2 - 4*t[20] + 
       t[23]/2 - (39*t[29])/2 + t[30] - (25*t[32])/2 + 14*t[33] - 
       (9*t[34])/2 - 10*t[35] - t[37] + 2*t[39] - 2*t[40] + 2*t[41] - 
       2*t[42] - t[43]/2 + (45*t[44])/4 + 2*t[45] - 3*t[47] - (17*t[48])/4 - 
       (19*t[49])/8 + (21*t[50])/4 + (19*t[51])/16 - (9*t[52])/4 + 
       (19*t[53])/8 - (13*t[54])/4 - t[55] - (7*t[59])/2 + (147*t[60])/2 + 
       93*t[61] - (241*t[62])/8 - (247*t[63])/8 - (189*t[64])/4 - 
       (83*t[65])/6 - (263*t[66])/3 - t[68] + 2*t[70] - 2*t[71] + 6*t[72] + 
       9*t[73] + 4*t[74] - 47*t[75] - 4*t[76] + t[77] + 6*t[78] - t[79] - 
       2*t[80] + (7*t[81])/2 - (21*t[82])/2 + 22*t[83] + (39*t[84])/2 + 
       (23*t[85])/4 - 15*t[86] - (9*t[87])/4 + (61*t[88])/8 + (121*t[89])/8 - 
       2*t[95] - 2*t[96] + t[97] - 24*t[98] + 36*t[99] - 91*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*(t[1]/2 + 4*t[2] - 
       (307*t[3])/8 - (11*t[4])/4 - (197*t[5])/8 + (41*t[6])/4 + 
       (83*t[7])/2 + 28*t[8] + (189*t[9])/8 + (17*t[10])/8 + (15*t[11])/4 + 
       (31*t[12])/4 - (197*t[13])/24 + (1895*t[14])/48 + (947*t[15])/72 + 
       t[17]/2 - 20*t[20] - 2*t[24] + 2*t[27] - 26*t[28] - (27*t[29])/4 + 
       (19*t[30])/2 - 2*t[31] + (11*t[32])/2 - t[34] - t[37] - 2*t[40] + 
       t[41] - t[42] - t[43]/2 + (57*t[44])/4 + 2*t[45] + t[46] - 3*t[47] - 
       (35*t[48])/2 - (27*t[49])/8 + (33*t[50])/2 + (15*t[51])/16 - 
       (27*t[52])/2 + (27*t[53])/8 + 11*t[54] + (3*t[59])/2 - t[60]/2 + 
       96*t[61] - (295*t[62])/8 + (411*t[63])/8 - 37*t[64] + (85*t[65])/12 + 
       (67*t[66])/4 - t[68] + 2*t[70] - 2*t[71] - 12*t[72] + 9*t[73] + 
       t[74] - 47*t[75] - 4*t[76] + t[77] + 6*t[78] + 7*t[79] - 2*t[80] + 
       t[82] + (67*t[83])/2 + (27*t[84])/4 + (5*t[85])/4 + 7*t[86] + 
       (95*t[87])/4 + (165*t[88])/8 - (23*t[89])/8 - 2*t[93] - 2*t[95] - 
       2*t[96] + t[97] - 24*t[98] + 36*t[99] - 91*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      ((-3*t[1])/2 + (67*t[2])/4 - (205*t[3])/8 + (3*t[4])/2 - (249*t[5])/8 + 
       (175*t[6])/16 + (85*t[7])/4 + 14*t[8] + (121*t[9])/4 - 18*t[10] + 
       (265*t[11])/16 - (19*t[12])/8 + (335*t[13])/72 + (925*t[14])/48 + 
       (1193*t[15])/144 - t[20] + t[22] - 2*t[24] + 2*t[27] + t[29]/2 - 
       2*t[31] + (11*t[32])/2 - 5*t[33] - t[34] - 4*t[35] + 5*t[36] - t[37] - 
       t[39] + (5*t[40])/2 - t[41] + t[42] + (21*t[44])/4 + 9*t[45] + 
       (3*t[46])/2 - 10*t[47] - (95*t[48])/16 - (21*t[49])/2 + 
       (205*t[50])/16 + (31*t[51])/8 - (253*t[52])/16 + (13*t[53])/2 + 
       (155*t[54])/16 - t[59] + (291*t[60])/8 + (459*t[61])/8 - 
       (297*t[62])/16 - (95*t[63])/16 - (573*t[64])/16 + (487*t[65])/24 - 
       (289*t[66])/8 - t[69] - t[72] + 4*t[73] - 7*t[75] - 9*t[76] - 
       3*t[77] + 20*t[78] - 4*t[79] - 13*t[80] + (13*t[81])/2 - 
       (15*t[82])/2 + (15*t[83])/2 + (217*t[84])/8 + (39*t[85])/8 + 
       22*t[86] + (189*t[87])/8 + (205*t[88])/16 + (9*t[89])/16 - 4*t[95] - 
       6*t[96] - 4*t[97] - 72*t[98] + 96*t[99] - 90*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      (2*t[1] - (15*t[2])/4 + (23*t[3])/16 + 9*t[4] + (86*t[5])/3 + 
       (85*t[6])/12 - (151*t[7])/8 + (1573*t[8])/24 - (587*t[9])/24 + 
       (181*t[10])/12 + (139*t[11])/3 + (509*t[12])/24 + (2233*t[13])/144 + 
       (263*t[14])/24 + (6475*t[15])/864 + (23*t[28])/3 + (73*t[29])/12 - 
       (35*t[30])/12 + 4*t[31] + (19*t[32])/6 - (11*t[33])/4 + (29*t[34])/6 + 
       8*t[35] - 2*t[38] + 6*t[39] - 10*t[40] + 2*t[41] - 2*t[42] - 
       (77*t[44])/12 - 14*t[45] + 14*t[47] + (503*t[48])/24 + (31*t[49])/2 - 
       (161*t[50])/8 - (35*t[51])/4 + (225*t[52])/8 - (15*t[53])/2 - 
       (143*t[54])/12 + (23*t[59])/12 - (205*t[60])/6 + (307*t[61])/6 - 
       (124*t[62])/3 + (89*t[63])/12 + (747*t[64])/8 - (1673*t[65])/72 - 
       (925*t[66])/24 + 4*t[72] + 5*t[73] - (16*t[74])/3 + 9*t[75] + 
       30*t[76] + 4*t[77] - 28*t[78] - 5*t[79] + 20*t[80] + (2*t[81])/3 - 
       (14*t[82])/3 - (8*t[83])/3 - (1129*t[84])/24 - (649*t[85])/24 + 
       (29*t[86])/3 - (47*t[87])/8 - (337*t[88])/48 - (86*t[89])/3 + 
       (32*t[95])/3 + 12*t[96] + 10*t[97] + 192*t[98] - 192*t[99] - 
       88*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-3*t[2])/4 - (27*t[3])/8 + (9*t[4])/2 - 
       (79*t[5])/8 + (31*t[6])/16 + (17*t[7])/4 + (29*t[8])/4 + (27*t[9])/4 + 
       (11*t[10])/4 + (65*t[11])/16 - t[12]/8 + t[13]/8 + (89*t[14])/16 + 
       (7*t[15])/144 - t[29]/2 + t[30]/2 - t[31]/2 + t[35] - t[36] + 
       (3*t[40])/4 - t[44]/4 + t[46]/2 - (15*t[48])/16 + (7*t[49])/4 + 
       (29*t[50])/16 - t[51]/2 - (29*t[52])/16 - (7*t[53])/4 + 
       (23*t[54])/16 - (29*t[60])/8 + (81*t[61])/8 - (229*t[62])/16 + 
       (37*t[63])/16 + (65*t[64])/16 + (65*t[65])/24 - (27*t[66])/8 + 
       t[72]/2 - (3*t[76])/2 - 2*t[79] + t[81] - 4*t[82] + 4*t[83] + 
       (3*t[84])/8 + (7*t[85])/8 + 12*t[86] + (9*t[87])/8 + (9*t[88])/16 + 
       (41*t[89])/16 + 102*t[98] - 87*t[99] - 88*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((77*t[1])/4 - (371*t[2])/8 + (1269*t[3])/16 - (1329*t[4])/16 + 
       (165*t[5])/4 - (2825*t[6])/32 + (61*t[7])/4 - (1759*t[8])/8 - 
       (555*t[9])/16 + (689*t[10])/32 - (1547*t[11])/32 - (607*t[12])/32 - 
       (8405*t[13])/72 - (6021*t[14])/64 - (1711*t[15])/96 + 3*t[19] - 
       2*t[20] - 2*t[21] + 2*t[23] + t[24] - 16*t[25] - (31*t[26])/4 + 
       t[27]/2 - (11*t[29])/4 + (29*t[30])/4 + 3*t[31] - 6*t[32] - 
       (3*t[33])/4 - (3*t[34])/2 + (19*t[36])/2 + (15*t[37])/2 + 
       (89*t[38])/4 + 2*t[39] + 3*t[40] + (3*t[41])/4 - (3*t[42])/4 - 
       (7*t[43])/2 + (219*t[44])/8 - (35*t[45])/4 + 8*t[46] + (43*t[47])/4 - 
       (879*t[48])/32 + (491*t[49])/32 + (1605*t[50])/32 - (247*t[51])/64 - 
       (1637*t[52])/32 + (453*t[53])/32 - (375*t[54])/32 - (9*t[58])/4 - 
       (123*t[59])/8 - (3347*t[60])/16 - (381*t[61])/16 + (1405*t[62])/32 + 
       (7691*t[63])/32 + (3785*t[64])/32 + (1261*t[65])/48 + 
       (6631*t[66])/48 - 2*t[70] + 2*t[71] + 3*t[72] + 6*t[73] - 
       (23*t[74])/2 - 11*t[75] + (53*t[76])/2 - (3*t[77])/2 - 30*t[78] + 
       26*t[79] + 10*t[80] - 23*t[81] + (51*t[82])/4 - (47*t[83])/2 - 
       (545*t[84])/16 - (19*t[85])/16 - 32*t[86] + (395*t[87])/16 + 
       (75*t[88])/32 - (1681*t[89])/32 + 17*t[95] + 4*t[96] - 3*t[97] + 
       102*t[98] - 87*t[99] - 88*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - u]*(-5*t[1] - (23*t[2])/24 + (167*t[3])/8 - 
       (95*t[4])/2 + (2203*t[5])/48 + (110*t[6])/3 - (139*t[7])/4 + 
       (973*t[8])/12 - (1289*t[9])/48 - (16*t[10])/3 - (335*t[11])/24 + 
       (1727*t[12])/48 - (185*t[13])/12 + (171*t[14])/16 + 
       (23225*t[15])/864 + (34*t[28])/3 + (49*t[29])/6 + (7*t[30])/6 + 
       10*t[31] - (14*t[32])/3 + (9*t[33])/2 + (74*t[34])/3 + 20*t[35] - 
       10*t[38] - 15*t[40] + (13*t[44])/6 - 35*t[45] + 25*t[47] + 
       (95*t[48])/3 + (77*t[49])/4 - (47*t[50])/4 - (117*t[51])/8 + 
       (167*t[52])/4 - (77*t[53])/4 + (20*t[54])/3 + (65*t[59])/12 - 
       (707*t[60])/6 - (277*t[61])/6 + (719*t[62])/24 + (1055*t[63])/6 + 
       (897*t[64])/8 + (1225*t[65])/36 + (441*t[66])/4 - t[67]/4 + t[69] + 
       t[70] - t[71] + 8*t[72] + 7*t[73] - (43*t[74])/6 + 17*t[75] + 
       35*t[76] - 20*t[78] - 9*t[79] + 30*t[80] + (16*t[81])/3 + 
       (14*t[82])/3 + (19*t[83])/6 - (169*t[84])/3 - (47*t[85])/6 + 
       (91*t[86])/3 - (113*t[87])/4 - (469*t[88])/24 - (1691*t[89])/24 + 
       (52*t[95])/3 + 5*t[97] + 240*t[98] - 240*t[99] - (175*t[100])/2) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((15*t[1])/8 + (61*t[2])/2 - (1725*t[3])/16 + (545*t[4])/6 - 
       (1073*t[5])/48 + (21*t[6])/4 - (479*t[7])/12 + (527*t[8])/6 + 
       (1043*t[9])/16 + (225*t[10])/4 + (593*t[11])/12 - (1621*t[12])/48 + 
       (6539*t[13])/108 + (499*t[14])/72 - (4825*t[15])/144 + (17*t[17])/4 + 
       2*t[19] + (4*t[20])/3 - 2*t[21] + 2*t[22] + 2*t[23] + (11*t[24])/3 + 
       (11*t[27])/2 - (8*t[28])/3 + (83*t[29])/6 + (7*t[30])/2 - 
       (25*t[31])/3 + (509*t[32])/24 - 9*t[33] + (19*t[34])/4 + 
       (16*t[35])/3 - (37*t[36])/6 + (26*t[37])/3 + (29*t[38])/6 - 
       (4*t[39])/3 + (229*t[40])/24 + (3*t[41])/8 - (3*t[42])/8 - 
       (83*t[43])/24 - (155*t[44])/12 + (719*t[45])/12 + 7*t[46] - 
       (209*t[47])/4 + (39*t[48])/8 + (119*t[49])/8 - (311*t[50])/24 - 
       (125*t[51])/16 - (61*t[52])/8 - (103*t[53])/8 + t[54]/4 + t[55]/2 + 
       2*t[57] - (67*t[59])/6 + (2087*t[60])/12 + (43*t[61])/6 - 
       (775*t[62])/16 - (4511*t[63])/16 + (1751*t[64])/48 - (914*t[65])/9 - 
       (1989*t[66])/8 - (25*t[68])/2 + t[69] + (2*t[70])/3 - (2*t[71])/3 + 
       2*t[72] + 15*t[73] + (49*t[74])/6 - 15*t[75] + (123*t[76])/4 - 
       (11*t[77])/6 - (95*t[78])/3 + 10*t[79] - (361*t[80])/6 + 
       (143*t[81])/6 - (89*t[82])/2 - (71*t[83])/6 + (301*t[84])/6 + 
       (673*t[85])/24 + (39*t[86])/2 - (53*t[87])/12 - (35*t[88])/24 + 
       (735*t[89])/8 - t[91]/6 - (38*t[95])/3 + (19*t[96])/3 - (7*t[97])/6 - 
       30*t[98] + 26*t[99] - 80*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-3*t[1] + 2*t[2] - (141*t[3])/8 - 24*t[4] + 
       (13*t[5])/16 + (261*t[6])/8 + (55*t[7])/4 + (455*t[8])/8 + 
       (377*t[9])/16 - (71*t[10])/8 - (11*t[11])/4 + (383*t[12])/16 - 
       (37*t[13])/4 + (1849*t[14])/48 + (4661*t[15])/288 - (7*t[28])/2 + 
       (59*t[29])/8 - 2*t[30] + 6*t[31] - 4*t[32] + (3*t[33])/2 + 19*t[34] + 
       12*t[35] - 6*t[38] - 9*t[40] - (3*t[44])/8 - 21*t[45] + 15*t[47] + 
       (15*t[48])/4 + 12*t[49] + (5*t[50])/8 - 9*t[51] + (139*t[52])/8 - 
       12*t[53] + (93*t[54])/8 + 2*t[59] - 28*t[60] + (35*t[61])/4 - 
       (15*t[62])/16 + (1383*t[63])/16 + (233*t[64])/8 + (485*t[65])/24 + 
       (919*t[66])/24 + 6*t[72] + (9*t[73])/2 - 4*t[74] - (3*t[75])/2 + 
       21*t[76] - 12*t[78] - (9*t[79])/2 + 18*t[80] + 5*t[81] + t[82] + 
       (13*t[83])/2 - (139*t[84])/8 + (77*t[85])/8 + (59*t[86])/2 - 
       (127*t[87])/4 - (39*t[88])/2 - (143*t[89])/4 + 8*t[95] + 3*t[97] + 
       144*t[98] - 144*t[99] - 78*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((-69*t[1])/8 - 7*t[2] + (639*t[3])/16 + 
       31*t[4] - (339*t[5])/16 - (361*t[6])/16 - (105*t[7])/4 - 
       (1039*t[8])/8 - (407*t[9])/16 - (9*t[10])/2 + (463*t[11])/16 + 
       (365*t[12])/16 + (1033*t[13])/36 - (781*t[14])/24 - (671*t[15])/72 - 
       (7*t[16])/4 - 8*t[18] - 9*t[20] - 10*t[21] + 9*t[22] + 10*t[23] - 
       (15*t[24])/2 + 8*t[25] - 7*t[26] - t[27] - (17*t[29])/4 + t[30] - 
       2*t[31] - (107*t[32])/4 + (21*t[33])/2 + (41*t[34])/4 - (13*t[36])/2 - 
       6*t[37] - 2*t[38] - (35*t[39])/4 + (83*t[40])/4 - (15*t[41])/8 - 
       t[42]/8 + (13*t[43])/2 - (11*t[44])/8 + 9*t[45] - (15*t[46])/4 - 
       (57*t[47])/2 - (723*t[48])/16 - (13*t[49])/4 - (99*t[50])/16 - 
       (5*t[51])/8 - (113*t[52])/16 - (21*t[53])/4 - (759*t[54])/16 - 
       (3*t[55])/4 - t[58] - (3*t[59])/4 - (47*t[60])/4 - (149*t[61])/4 + 
       (1779*t[62])/16 + (1769*t[63])/16 - (113*t[64])/8 - (2627*t[65])/24 - 
       (283*t[66])/24 + (5*t[68])/2 + 3*t[69] + 13*t[70] - 13*t[71] + 
       2*t[72] + (9*t[74])/2 - 29*t[76] - (37*t[77])/2 + 13*t[78] - 
       33*t[80] + (3*t[81])/2 + 11*t[82] + (55*t[84])/8 + (221*t[85])/8 - 
       58*t[86] - (95*t[87])/8 - (51*t[88])/16 - (1033*t[89])/16 + t[92]/2 - 
       t[94]/2 - t[95] - t[96] - (3*t[97])/2 - 168*t[98] + 216*t[99] - 
       78*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-39*t[1])/8 - 7*t[2] + (589*t[3])/16 + (155*t[4])/4 + (81*t[5])/16 + 
       (83*t[6])/16 - (157*t[7])/4 - (977*t[8])/8 - (655*t[9])/16 + 
       (517*t[10])/8 - (225*t[11])/16 - (477*t[12])/16 + (5591*t[13])/144 + 
       (157*t[14])/48 - (173*t[15])/72 + (7*t[16])/4 - 6*t[18] - 2*t[19] - 
       t[20] - 8*t[21] + 5*t[22] + 8*t[23] - 5*t[24] + 8*t[25] - 
       (25*t[26])/2 - 2*t[27] - (5*t[29])/4 + (19*t[30])/2 - (101*t[32])/4 + 
       (19*t[33])/2 - (11*t[34])/4 + (3*t[36])/2 + t[37] + (21*t[38])/4 - 
       (17*t[39])/2 + (33*t[40])/2 - (15*t[41])/8 - (9*t[42])/8 + 
       (73*t[43])/8 + (73*t[44])/8 + 11*t[45] - (23*t[46])/2 - 
       (117*t[47])/4 - (251*t[48])/16 - (33*t[49])/8 - (19*t[50])/16 + 
       (141*t[51])/16 - t[52]/16 + (21*t[53])/8 + (289*t[54])/16 + t[55]/4 - 
       (5*t[58])/2 + (25*t[59])/8 - (231*t[60])/8 + (51*t[61])/4 + 
       (1201*t[62])/16 + (1347*t[63])/16 - (517*t[64])/4 - (1817*t[65])/24 + 
       (93*t[66])/4 - t[67] - (7*t[68])/2 + 11*t[70] - 11*t[71] - 2*t[72] + 
       (7*t[74])/2 - (137*t[76])/4 - (5*t[77])/2 + (129*t[78])/4 - 59*t[80] - 
       3*t[81] + (9*t[82])/4 + 2*t[83] + (167*t[84])/8 - (179*t[85])/8 - 
       87*t[86] + (113*t[87])/8 + (53*t[88])/16 - (219*t[89])/16 - t[92] + 
       t[94] + t[95] + 7*t[96] - (5*t[97])/4 - 168*t[98] + 216*t[99] - 
       78*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      (t[1]/2 + (29*t[2])/6 - (1651*t[3])/24 + (71*t[4])/12 - 
       (1175*t[5])/24 + (1561*t[6])/48 + (281*t[7])/12 + (365*t[8])/6 + 
       (371*t[9])/6 + (277*t[10])/24 + (43*t[11])/48 + t[12] + 
       (23*t[13])/27 + (3401*t[14])/72 - (227*t[15])/432 + t[20] - 
       (8*t[24])/3 + (2*t[27])/3 + 2*t[28] - (5*t[29])/6 - (16*t[30])/3 - 
       2*t[31] + (91*t[32])/6 - (20*t[33])/3 + 3*t[36] + (5*t[37])/3 + 
       t[38]/3 + (8*t[39])/3 - (11*t[40])/3 + (5*t[41])/6 - (5*t[42])/6 - 
       (7*t[43])/6 + (23*t[44])/12 + (53*t[45])/6 + (3*t[46])/2 - 
       (9*t[47])/2 + (185*t[48])/16 - (63*t[49])/8 + (53*t[50])/16 + 
       (143*t[51])/48 - (143*t[52])/48 + (157*t[53])/24 + (503*t[54])/16 + 
       (5*t[59])/12 + (2195*t[60])/24 + (1843*t[61])/24 - (2629*t[62])/48 - 
       (3739*t[63])/48 - (829*t[64])/48 + (811*t[65])/72 - (4183*t[66])/72 + 
       t[69] + (8*t[70])/3 - (8*t[71])/3 - t[72]/3 + 4*t[73] + 2*t[74] - 
       t[75] - (11*t[76])/6 + (7*t[77])/3 + (56*t[78])/3 - 4*t[79] - 
       (46*t[80])/3 + 10*t[81] - (46*t[82])/3 + (7*t[83])/6 + 
       (805*t[84])/24 + (187*t[85])/24 + 8*t[86] + (125*t[87])/24 + 
       (255*t[88])/16 + (1477*t[89])/48 - 8*t[95] - (14*t[96])/3 + t[97]/2 - 
       32*t[98] + 40*t[99] - (151*t[100])/2) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*(-2*t[1] - (177*t[2])/4 + (895*t[3])/8 + 
       (43*t[4])/2 + (105*t[5])/8 - (801*t[6])/8 + (549*t[7])/4 - 
       (1135*t[8])/4 + (459*t[9])/8 - (77*t[10])/4 + (869*t[11])/8 + 
       (253*t[12])/8 + (3563*t[13])/72 + (59*t[14])/8 + (139*t[15])/36 - 
       t[19] - 7*t[20] - t[21] + t[23] - 7*t[24] - 7*t[27] + (9*t[29])/2 + 
       t[30] - 41*t[32] - 7*t[33] + 11*t[34] + 12*t[36] + 2*t[37] - 4*t[38] + 
       17*t[39] - (7*t[40])/2 - t[42]/2 + (59*t[44])/4 - (79*t[45])/2 - 
       3*t[46] + (85*t[47])/2 - (433*t[48])/8 + (71*t[49])/4 + 
       (151*t[50])/8 - (81*t[51])/8 - (215*t[52])/8 - (7*t[53])/4 - 
       (637*t[54])/8 + 10*t[59] - (773*t[60])/4 + (155*t[61])/2 - 
       (443*t[62])/8 + (2191*t[63])/8 + 41*t[64] - (105*t[65])/2 - 
       (325*t[66])/12 - t[69] - 11*t[70] + 11*t[71] - 12*t[73] - 13*t[74] + 
       12*t[75] + (95*t[76])/2 - 5*t[77] - 63*t[78] - 24*t[79] + 39*t[80] + 
       10*t[81] + 15*t[82] + 14*t[83] - (157*t[84])/2 - (161*t[85])/4 + 
       12*t[86] - (201*t[87])/4 - (681*t[88])/8 - (733*t[89])/8 + 26*t[95] + 
       35*t[96] + 8*t[97] + 312*t[98] - 324*t[99] - 75*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v]*(-2*t[1] - (43*t[2])/4 + 
       (1093*t[3])/8 + (201*t[4])/4 + (143*t[5])/2 - (859*t[6])/8 - 20*t[7] - 
       (333*t[8])/2 - (141*t[9])/2 + (155*t[10])/8 + (1021*t[11])/8 + 
       (189*t[12])/8 + (1387*t[13])/24 - (1015*t[14])/48 - (3695*t[15])/144 + 
       t[19] - t[20] - t[21] + 7*t[24] - 7*t[27] - 6*t[28] + (9*t[29])/2 + 
       15*t[30] - 44*t[32] + 3*t[33] + 25*t[34] + 12*t[35] - 12*t[36] - 
       4*t[38] + 13*t[39] - (15*t[40])/2 + (3*t[41])/2 - t[42] + t[43] - 
       (65*t[44])/4 - (69*t[45])/2 - 3*t[46] + (67*t[47])/2 - (479*t[48])/8 + 
       (319*t[49])/8 - (207*t[50])/8 - (291*t[51])/16 + (207*t[52])/8 - 
       (191*t[53])/8 - (825*t[54])/8 - 5*t[59] - (253*t[60])/2 - 
       (107*t[61])/4 - (173*t[62])/4 + (553*t[63])/4 + (1131*t[64])/8 - 
       (2195*t[65])/12 - (1045*t[66])/6 - 12*t[70] + 12*t[71] + 14*t[72] - 
       12*t[73] - 7*t[74] + 12*t[75] + (101*t[76])/2 - 4*t[77] - 73*t[78] + 
       41*t[80] + 14*t[81] + 7*t[82] + 14*t[83] - (345*t[84])/4 - 37*t[85] - 
       80*t[87] - 100*t[88] - (233*t[89])/2 + 26*t[95] + 37*t[96] + 8*t[97] + 
       312*t[98] - 324*t[99] - 75*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*((3*t[1])/4 - (39*t[2])/8 + 
       (415*t[3])/8 - 35*t[4] + (117*t[5])/4 - (299*t[6])/16 - (655*t[7])/8 + 
       (287*t[8])/8 - 102*t[9] - (41*t[10])/2 + (257*t[11])/16 - 
       (71*t[12])/4 + (4*t[13])/9 - (631*t[14])/24 + (4057*t[15])/144 - 
       4*t[20] + t[23]/2 - 4*t[24] + 2*t[27] - 5*t[28] - (35*t[29])/2 + 
       6*t[30] - 6*t[31] - (77*t[32])/4 + (23*t[33])/2 - 10*t[34] + 3*t[35] + 
       3*t[36] - 7*t[37] - (17*t[38])/4 - (11*t[39])/2 + t[40]/4 - 
       (11*t[41])/4 + (11*t[42])/4 + t[43] - (23*t[44])/4 - (51*t[45])/4 + 
       (15*t[47])/4 - (333*t[48])/16 - (35*t[49])/8 + (83*t[50])/16 + 
       (25*t[51])/16 + (61*t[52])/16 - (21*t[53])/8 - (483*t[54])/16 + 
       (13*t[59])/2 - (199*t[60])/2 + (61*t[61])/8 + (279*t[62])/4 + 
       (569*t[63])/4 + (1363*t[64])/16 + (427*t[65])/12 + (177*t[66])/4 - 
       4*t[70] + (7*t[71])/2 + 12*t[72] - 24*t[73] - 6*t[74] + 16*t[75] - 
       2*t[76] - (11*t[77])/2 - 4*t[78] - 5*t[79] + 18*t[80] - 2*t[81] + 
       (5*t[82])/4 + 61*t[83] - 17*t[84] - (45*t[85])/4 + 13*t[86] + 
       (27*t[87])/2 + 4*t[88] - (1053*t[89])/16 + 6*t[95] - (25*t[96])/2 - 
       6*t[97] - 6*t[98] + 6*t[99] - 75*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-9*t[1])/2 + (7*t[2])/2 - (75*t[3])/8 + (7*t[4])/12 + (98*t[5])/3 + 
       (733*t[6])/48 - (193*t[7])/3 - (23*t[8])/2 - (1807*t[9])/24 + 
       (383*t[10])/8 + (357*t[11])/16 - (205*t[12])/8 - (1345*t[13])/72 + 
       (131*t[14])/72 + (4757*t[15])/216 + t[16]/3 + t[17] - (14*t[18])/3 + 
       6*t[19] - (7*t[20])/3 - (20*t[21])/3 + t[22] + (19*t[23])/3 - 
       5*t[24] + 3*t[25] + t[26]/2 - (7*t[27])/3 + 2*t[28] - t[29]/6 + 
       (23*t[30])/3 - t[31] + (5*t[32])/3 + t[33] - (50*t[34])/3 - 
       (10*t[36])/3 - (7*t[37])/3 - (8*t[38])/3 - 3*t[39] + (11*t[40])/2 + 
       2*t[41] - (17*t[42])/6 + (127*t[43])/12 + (23*t[44])/12 + 
       (161*t[45])/6 + (2*t[46])/3 - 51*t[47] + (69*t[48])/16 + 
       (17*t[49])/8 + (35*t[50])/48 - (95*t[51])/48 + (63*t[52])/16 - 
       (49*t[53])/8 + (233*t[54])/48 - t[58]/2 + 6*t[59] - (893*t[60])/24 + 
       (1303*t[61])/24 + (157*t[62])/48 + (3563*t[63])/48 - (761*t[64])/48 - 
       (2581*t[65])/24 + (197*t[66])/24 + (2*t[68])/3 - t[69] + 5*t[70] - 
       5*t[71] + 6*t[72] + 4*t[73] + (19*t[74])/3 - 4*t[75] - (76*t[76])/3 + 
       t[77]/3 + 19*t[78] + 8*t[79] - 40*t[80] - (41*t[81])/6 - 
       (11*t[82])/6 - (16*t[83])/3 + (19*t[84])/8 - (901*t[85])/24 - 
       (166*t[86])/3 + (355*t[87])/8 + (1225*t[88])/48 - (3035*t[89])/48 - 
       2*t[90] - (5*t[92])/3 + t[94] - 2*t[95] - (8*t[96])/3 - 2*t[97] - 
       160*t[98] + 156*t[99] - 75*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((19*t[1])/6 - (547*t[2])/36 + 
       (3587*t[3])/96 + (241*t[4])/18 - (2539*t[5])/144 - (5557*t[6])/288 + 
       (4297*t[7])/144 - (8809*t[8])/144 + (2609*t[9])/72 + (53*t[10])/18 + 
       (6829*t[11])/288 - (49*t[12])/18 + (2723*t[13])/96 + (1715*t[14])/96 - 
       (24661*t[15])/5184 - (40*t[20])/9 + 2*t[25] - (44*t[27])/9 - t[28]/6 - 
       (133*t[29])/72 + (5*t[30])/9 - 2*t[31] - (45*t[32])/2 + 
       (259*t[33])/18 + (151*t[34])/18 + t[35]/3 - (38*t[36])/3 - 
       (145*t[37])/18 - (40*t[38])/9 + (161*t[39])/18 - (40*t[40])/9 - 
       (31*t[41])/36 + (31*t[42])/36 + (47*t[43])/36 + (341*t[44])/144 - 
       (116*t[45])/9 + (7*t[46])/6 + (55*t[47])/6 - (945*t[48])/32 + 
       (263*t[49])/18 - (1949*t[50])/288 - (485*t[51])/72 + 
       (1309*t[52])/288 - (65*t[53])/6 - (4013*t[54])/288 + (151*t[59])/36 - 
       (109*t[60])/144 + (2795*t[61])/72 - (347*t[62])/48 + 
       (6367*t[63])/144 - (6511*t[64])/144 - (7063*t[65])/108 - 
       (17513*t[66])/216 - (11*t[70])/9 + (11*t[71])/9 + (134*t[72])/9 + 
       t[73] - t[75] + (67*t[76])/3 + (13*t[77])/3 - (512*t[78])/9 + 
       10*t[79] + (281*t[80])/9 + (65*t[81])/9 + (19*t[82])/2 + (4*t[83])/9 - 
       (467*t[84])/72 + (271*t[85])/24 - (49*t[86])/3 - (5969*t[87])/72 - 
       (841*t[88])/16 - (8365*t[89])/288 + (23*t[95])/3 + (89*t[96])/9 + 
       3*t[97] + (368*t[98])/3 - 154*t[99] - 74*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (86*t[2] - 102*t[3] - (319*t[4])/2 - (577*t[5])/4 - (3199*t[6])/8 + 
       (1069*t[7])/2 - 579*t[8] + 468*t[9] - (159*t[10])/4 + (1727*t[11])/8 + 
       (63*t[12])/2 - (4429*t[13])/36 + (10195*t[14])/36 - (49*t[15])/6 - 
       24*t[20] - 108*t[28] - 26*t[29] - 68*t[30] + 12*t[31] - 7*t[32] - 
       44*t[33] - 32*t[34] + 12*t[35] + 36*t[36] + 24*t[43] - 81*t[44] - 
       (2093*t[48])/8 - (87*t[49])/4 + (1671*t[50])/8 + (87*t[51])/8 - 
       (1671*t[52])/8 + (87*t[53])/4 - (2359*t[54])/8 - (152*t[59])/3 + 
       (1149*t[60])/4 - (93*t[61])/4 - (4643*t[62])/8 + (627*t[63])/8 - 
       (1249*t[64])/8 - (10279*t[65])/36 - (17081*t[66])/36 + 12*t[69] - 
       24*t[73] - 204*t[75] + 18*t[76] - 48*t[77] - 60*t[78] + 78*t[79] + 
       72*t[80] - 24*t[81] + 36*t[82] + 330*t[83] + (203*t[84])/4 + 
       (383*t[85])/4 + 510*t[86] - (371*t[87])/4 - (451*t[88])/8 - 
       (665*t[89])/8 - 72*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*(-6*t[2] - (415*t[3])/4 + 215*t[4] - 
       (237*t[5])/2 + (3207*t[6])/8 - (641*t[7])/2 + 781*t[8] + 
       (275*t[9])/4 + 69*t[10] - (1543*t[11])/8 - (103*t[12])/2 + 
       (1673*t[13])/12 + (2283*t[14])/8 - (295*t[15])/18 + 6*t[20] - 
       12*t[28] + 67*t[29] - 120*t[30] + 6*t[31] - 57*t[32] + 48*t[33] - 
       12*t[34] - 12*t[35] - 36*t[36] - 9*t[40] - 18*t[43] - (461*t[44])/2 + 
       (1005*t[48])/8 + 36*t[49] - (1359*t[50])/8 - 18*t[51] + 
       (1359*t[52])/8 - 36*t[53] + (2295*t[54])/8 + 6*t[59] + 
       (1529*t[60])/4 + (621*t[61])/4 + (4183*t[62])/8 - (2719*t[63])/8 - 
       (4375*t[64])/8 + (331*t[65])/4 + (155*t[66])/12 + 6*t[69] + 6*t[72] - 
       24*t[73] + 36*t[74] - 84*t[75] + 18*t[76] + 48*t[77] + 60*t[78] - 
       72*t[80] + 72*t[81] - 60*t[82] - 9*t[83] + (569*t[84])/4 + 
       (497*t[85])/4 - 540*t[86] - (1649*t[87])/4 - (1729*t[88])/8 + 
       (3039*t[89])/8 - 72*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*(-3*t[1] + (15*t[2])/2 + (63*t[3])/8 - 
       36*t[4] + (69*t[5])/4 + (105*t[6])/8 + (39*t[7])/4 + (129*t[8])/4 + 
       (27*t[9])/4 - (21*t[10])/2 + (27*t[11])/8 + 27*t[12] - 
       (271*t[13])/24 + (151*t[14])/8 + (165*t[15])/16 - 3*t[23] - 3*t[24] + 
       3*t[28] + (15*t[29])/2 - (3*t[30])/2 + 9*t[31] - (3*t[33])/2 + 
       15*t[34] + 21*t[35] + 3*t[36] - 6*t[38] - 9*t[40] + (3*t[43])/2 - 
       21*t[45] + 15*t[47] + (69*t[48])/8 + (21*t[49])/2 + (9*t[50])/8 - 
       (33*t[51])/4 + (135*t[52])/8 - (21*t[53])/2 - (27*t[54])/8 - 
       (201*t[60])/4 - (93*t[61])/4 - (51*t[62])/8 + (855*t[63])/8 + 
       (561*t[64])/8 + (33*t[65])/2 + (91*t[66])/2 + 6*t[72] + 6*t[73] - 
       9*t[74] + 3*t[75] + 21*t[76] - 3*t[77] - 15*t[78] - 6*t[79] + 
       24*t[80] + 3*t[81] + 3*t[82] + 12*t[83] - (63*t[84])/2 + (3*t[85])/2 + 
       54*t[86] - 30*t[87] - (39*t[88])/2 - (411*t[89])/8 + 12*t[95] + 
       3*t[97] + 144*t[98] - 144*t[99] - 72*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      (-4*t[1] + (43*t[2])/4 - 40*t[3] + (7*t[4])/4 - (177*t[5])/8 + 
       (423*t[6])/16 - (7*t[7])/2 + (185*t[8])/4 + 25*t[9] - (79*t[10])/8 - 
       (103*t[11])/16 + (19*t[12])/4 - (101*t[13])/18 + (225*t[14])/8 + 
       (139*t[15])/36 - 2*t[24] + 2*t[25] + 2*t[28] - 2*t[29] - 4*t[30] - 
       2*t[31] + 10*t[32] - 3*t[33] - 2*t[34] - 4*t[35] + 4*t[36] + t[37] - 
       2*t[38] - t[40]/2 - t[41]/2 + t[42]/2 - t[43]/2 + t[44] + 10*t[45] + 
       t[46] - 9*t[47] + (177*t[48])/16 - (77*t[49])/8 - (35*t[50])/16 + 
       (57*t[51])/16 + (3*t[52])/16 + (45*t[53])/8 + (435*t[54])/16 + t[59] + 
       (515*t[60])/8 + (405*t[61])/8 - (53*t[62])/16 - (579*t[63])/16 - 
       (683*t[64])/16 + (193*t[65])/8 - (511*t[66])/24 + 2*t[70] - 2*t[71] + 
       4*t[73] + t[74] - 4*t[75] - 8*t[76] - t[77] + 19*t[78] - 24*t[80] + 
       (15*t[81])/2 - (19*t[82])/2 - 4*t[83] + (251*t[84])/8 + (33*t[85])/8 - 
       10*t[86] + (87*t[87])/8 + (263*t[88])/16 + (305*t[89])/16 - 6*t[95] - 
       8*t[96] - 2*t[97] - 72*t[98] + 84*t[99] - 72*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((37*t[2])/4 - (281*t[3])/8 - (23*t[4])/4 - (181*t[5])/8 + 
       (573*t[6])/16 - (87*t[7])/4 + (179*t[8])/2 + (47*t[9])/4 - 
       (33*t[10])/8 - (381*t[11])/16 - (27*t[12])/4 - (55*t[13])/24 + 
       (385*t[14])/24 + (415*t[15])/144 + 2*t[25] + t[29]/2 - 2*t[31] + 
       6*t[32] + t[33] - 4*t[36] - 3*t[37] - 2*t[38] - 2*t[39] + 
       (3*t[40])/2 - t[41]/2 + t[42]/2 - t[43]/2 - (17*t[44])/4 + 8*t[45] + 
       t[46] - 11*t[47] + (279*t[48])/16 - (43*t[49])/8 - (165*t[50])/16 + 
       (39*t[51])/16 + (133*t[52])/16 - (5*t[53])/8 + (529*t[54])/16 + 
       (501*t[60])/8 + (273*t[61])/8 + (247*t[62])/16 - (727*t[63])/16 - 
       (175*t[64])/16 + (359*t[65])/24 - (167*t[66])/24 + 2*t[70] - 2*t[71] + 
       2*t[72] + 4*t[73] + 3*t[74] - 4*t[75] - 10*t[76] + t[77] + 17*t[78] + 
       8*t[79] + (13*t[81])/2 - (5*t[82])/2 - 4*t[83] + (203*t[84])/8 + 
       (37*t[85])/8 - 2*t[86] + (51*t[87])/8 + (195*t[88])/16 + 
       (339*t[89])/16 - 6*t[95] - 8*t[96] - 2*t[97] - 72*t[98] + 84*t[99] - 
       72*t[100]) + HPL[{0, 1, 1}, 1 - u]*Omega2[u, v, w]*
      ((21*t[2])/2 + (7*t[3])/2 + 20*t[4] - t[5] + 7*t[6] + 2*t[7] + 
       (53*t[8])/2 - 5*t[10] + (61*t[11])/2 - t[12]/2 + (289*t[13])/18 + 
       10*t[14] + (131*t[15])/12 - t[20] + 2*t[22] - 3*t[29] + 4*t[30] - 
       t[31] - (3*t[32])/2 - 2*t[36] - 2*t[37] + (3*t[40])/2 - t[41] + 
       t[42] - (3*t[44])/2 + t[46] - 2*t[47] - (5*t[48])/2 + (11*t[49])/2 + 
       t[50]/2 - 2*t[51] - t[52]/2 - (11*t[53])/2 - (11*t[54])/2 - 
       (15*t[60])/2 + 37*t[61] - (49*t[62])/4 + (53*t[63])/4 - 
       (159*t[64])/4 + (13*t[65])/3 - 30*t[66] - t[69] + t[72] - 2*t[75] - 
       3*t[76] - 4*t[79] + 2*t[80] + t[81] - 7*t[82] + (7*t[83])/2 - 
       (7*t[84])/2 - 5*t[85] + 14*t[86] - t[87]/2 - t[88]/4 - (23*t[89])/4 + 
       16*t[99] - 71*t[100]) + HPL[{0, 1, 1}, 1 - w]*Omega2[v, w, u]*
      ((21*t[2])/2 + (37*t[3])/2 + (13*t[4])/4 + (193*t[5])/8 + (67*t[6])/4 - 
       (31*t[7])/4 + (155*t[8])/4 - (177*t[9])/8 - (241*t[10])/8 + 
       (63*t[11])/4 + (17*t[12])/2 + (1171*t[13])/72 - (295*t[14])/48 + 
       (137*t[15])/16 + 2*t[20] - 2*t[22] - 4*t[29] - 4*t[30] - 2*t[31] - 
       (9*t[32])/2 + 4*t[33] - 4*t[34] - 4*t[35] + 2*t[36] - 2*t[37] - 
       t[41] + t[42] - t[43] + 2*t[44] - t[46] - 2*t[47] + (13*t[48])/2 - 
       (25*t[49])/8 - 13*t[50] + (13*t[51])/16 + 13*t[52] + (25*t[53])/8 + 
       (15*t[54])/4 + t[59] + (23*t[60])/4 + (129*t[61])/4 + (165*t[62])/8 - 
       (65*t[63])/8 - (227*t[64])/8 + (161*t[65])/12 - (3*t[66])/4 + 
       2*t[69] + 2*t[72] - 2*t[75] - 3*t[76] + 4*t[79] + 2*t[80] - 3*t[81] + 
       5*t[82] - 13*t[83] + (5*t[84])/4 - (23*t[85])/4 - 8*t[86] - 
       (21*t[87])/4 - (21*t[88])/8 - (15*t[89])/8 + 16*t[99] - 71*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-2*t[1] - (17*t[2])/2 + 46*t[3] + 27*t[4] - (103*t[5])/2 - 
       (101*t[6])/2 - (25*t[7])/4 - (659*t[8])/4 + (13*t[9])/4 + 
       (129*t[10])/2 - 64*t[11] + (43*t[12])/4 - (181*t[13])/6 - 34*t[14] - 
       (203*t[15])/8 + 6*t[20] - 10*t[22] + t[23]/2 - 16*t[28] - 
       (31*t[29])/2 + 25*t[30] + 4*t[31] - 8*t[32] + 2*t[33] + 20*t[34] + 
       24*t[35] - 24*t[36] - 2*t[37] - t[38] + t[40]/2 - t[41] + t[42] - 
       (49*t[43])/4 + (85*t[44])/2 - (31*t[45])/2 + 2*t[46] + 18*t[47] - 
       (117*t[48])/2 + (23*t[49])/4 + (43*t[50])/2 - t[51]/4 - (47*t[52])/2 - 
       (23*t[53])/4 - (51*t[54])/2 - (15*t[59])/2 - 49*t[60] - 
       (271*t[61])/2 + 83*t[62] + (265*t[63])/2 - (547*t[64])/4 - 
       (29*t[65])/2 + (229*t[66])/2 + t[67] + 6*t[69] - 8*t[70] + 8*t[71] - 
       4*t[72] - 16*t[74] + 16*t[76] + 8*t[77] - 9*t[78] + 14*t[79] - 
       38*t[80] - 3*t[81] + 17*t[82] + 41*t[83] - (39*t[84])/2 - 
       (21*t[85])/2 - 102*t[86] + 48*t[87] + 4*t[88] - 43*t[89] + 4*t[95] + 
       4*t[96] - 3*t[97] + 48*t[98] - 24*t[99] - 69*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (12*t[2] - (3*t[3])/2 + (65*t[4])/2 + (59*t[5])/2 + (75*t[6])/4 + 
       (195*t[7])/4 - (55*t[8])/4 - (75*t[9])/4 - (339*t[10])/4 + 
       (479*t[11])/4 - 11*t[12] + (351*t[13])/4 + (965*t[14])/24 + 
       (5*t[15])/24 + 8*t[28] - 4*t[29] + (37*t[30])/2 + 2*t[31] - 
       (49*t[32])/2 + (19*t[33])/2 - 2*t[34] - 16*t[35] + 24*t[36] - 
       2*t[37] + t[38] + 3*t[40] + (49*t[43])/4 - (9*t[44])/2 + (9*t[45])/2 - 
       2*t[46] - 11*t[47] + (37*t[48])/4 + 6*t[49] - (45*t[50])/4 - 
       (45*t[51])/8 + (13*t[52])/4 - (3*t[53])/2 - (81*t[54])/4 - t[59]/2 + 
       (11*t[60])/2 + (343*t[61])/2 - (23*t[62])/2 - (63*t[63])/2 + 
       (153*t[64])/2 - 24*t[65] - 238*t[66] - 4*t[70] + 4*t[71] - 2*t[72] + 
       2*t[74] + 17*t[76] - 10*t[77] - 15*t[78] - 14*t[79] + 40*t[80] + 
       37*t[81] - 13*t[82] - 20*t[83] + (7*t[84])/2 + 28*t[85] + 42*t[86] - 
       (41*t[87])/2 - (121*t[88])/4 + 10*t[89] + 4*t[95] + 10*t[96] - t[97] + 
       48*t[98] - 24*t[99] - 69*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-5*t[1])/6 + (467*t[2])/144 + 
       (7955*t[3])/288 + (1145*t[4])/48 + (2543*t[5])/144 - 
       (32057*t[6])/1152 + (6701*t[7])/144 - (40297*t[8])/288 + 
       (1693*t[9])/64 - (3233*t[10])/288 + (57553*t[11])/1152 - 
       (115*t[12])/48 + (78535*t[13])/2592 - (473*t[14])/3456 - 
       (32911*t[15])/10368 + t[18]/2 - 2*t[19] - t[20]/18 - 2*t[21] - 
       t[22]/2 + 2*t[23] - (11*t[24])/9 - t[25] - (5*t[27])/9 + 
       (41*t[28])/36 - (227*t[29])/144 + (35*t[30])/12 - (5*t[31])/6 - 
       (719*t[32])/72 - (7*t[33])/36 + (197*t[34])/18 + (5*t[35])/3 - 
       (7*t[36])/3 + t[37]/9 - (17*t[38])/18 + (121*t[39])/36 - 
       (559*t[40])/144 - (47*t[41])/18 + (29*t[42])/18 - (29*t[43])/18 + 
       (199*t[44])/18 - (73*t[45])/6 + (19*t[46])/24 + (55*t[47])/6 - 
       (26879*t[48])/1152 + (2395*t[49])/288 + (17461*t[50])/1152 - 
       (1087*t[51])/192 - (16309*t[52])/1152 - (1787*t[53])/288 - 
       (4897*t[54])/128 - (65*t[59])/36 - (1021*t[60])/192 + 
       (955*t[61])/576 + (2087*t[62])/384 + (75643*t[63])/1152 - 
       (75001*t[64])/1152 - (73705*t[65])/1728 - (126623*t[66])/1728 - 
       (5*t[69])/2 - (19*t[70])/18 + (19*t[71])/18 - (2*t[72])/3 + 
       (5*t[73])/4 + (13*t[74])/12 + (43*t[75])/12 + (599*t[76])/36 + 
       (37*t[77])/36 - (533*t[78])/36 - (59*t[79])/12 + (7*t[80])/6 + 
       (521*t[81])/72 + (97*t[82])/72 - (107*t[83])/18 - (341*t[84])/64 + 
       (5351*t[85])/576 - (913*t[86])/36 - (27683*t[87])/576 - 
       (41827*t[88])/1152 - (15679*t[89])/384 + (8*t[95])/3 + (38*t[96])/9 - 
       t[97] + (239*t[98])/3 - 61*t[99] - (407*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-3*t[1])/2 + (157*t[2])/12 - (291*t[3])/4 + 
       (11*t[4])/6 - (331*t[5])/4 + (223*t[6])/4 - (691*t[7])/12 + 96*t[8] - 
       (301*t[9])/24 - (85*t[10])/4 - (220*t[11])/3 - (121*t[12])/4 - 
       (455*t[13])/24 - (487*t[14])/24 - (391*t[15])/72 + (13*t[20])/3 + 
       (20*t[27])/3 + (2*t[28])/3 - (7*t[29])/2 - (37*t[30])/12 + 
       (47*t[32])/3 + (49*t[33])/12 - (53*t[34])/6 - t[35] - (10*t[37])/3 + 
       (23*t[38])/6 - (101*t[39])/6 + (89*t[40])/6 - (13*t[41])/6 + 
       (13*t[42])/6 - (5*t[43])/3 - (77*t[44])/24 + (193*t[45])/6 + 3*t[46] - 
       (69*t[47])/2 + (175*t[48])/12 - (97*t[49])/3 + (95*t[50])/6 + 
       (95*t[51])/6 - (151*t[52])/6 + 17*t[53] + (743*t[54])/12 - 
       (17*t[59])/3 + (272*t[60])/3 - (103*t[61])/24 + (3077*t[62])/48 - 
       (6221*t[63])/48 - (1289*t[64])/48 + (299*t[65])/3 + (1133*t[66])/18 + 
       t[69] + (14*t[70])/3 - (14*t[71])/3 - (11*t[72])/3 + 11*t[73] + 
       (20*t[74])/3 - 14*t[75] - (95*t[76])/2 + t[77] + (191*t[78])/3 + 
       (19*t[79])/2 - (140*t[80])/3 - 4*t[81] - (38*t[82])/3 + (21*t[83])/2 + 
       (1007*t[84])/12 + (257*t[85])/6 + (61*t[86])/6 + (841*t[87])/12 + 
       (1435*t[88])/24 + (557*t[89])/8 - (64*t[95])/3 - (83*t[96])/3 - 
       (29*t[97])/2 - 296*t[98] + 332*t[99] - 66*t[100]) + 
     HPL[{0, 1}, 1 - u]*Qep[w, u, v]*((-1000*t[2])/9 + (632*t[3])/9 - 
       (728*t[4])/9 - (476*t[5])/9 + (806*t[6])/9 + (40*t[7])/9 - 
       (232*t[8])/9 - (592*t[9])/9 - (260*t[10])/9 - (430*t[11])/9 + 
       (112*t[12])/3 - (3800*t[13])/81 + (1004*t[14])/27 + (5324*t[15])/81 - 
       (64*t[24])/9 + (64*t[27])/9 - (176*t[29])/9 - (320*t[30])/9 + 
       (64*t[31])/3 - (296*t[32])/9 + (512*t[33])/9 - (64*t[34])/3 - 
       (32*t[36])/3 - (224*t[37])/9 - (64*t[38])/9 - (128*t[39])/9 - 
       (136*t[40])/9 - (16*t[41])/9 + (16*t[42])/9 - (16*t[43])/9 + 
       (280*t[44])/9 - (448*t[45])/9 - (16*t[46])/3 + 32*t[47] - 
       (74*t[48])/3 + (44*t[49])/3 + (158*t[50])/3 - (62*t[51])/9 + 
       (38*t[52])/9 - (260*t[53])/9 + (50*t[54])/3 + (256*t[59])/9 - 
       (916*t[60])/9 + (604*t[61])/9 + (994*t[62])/9 + (3646*t[63])/9 - 
       (2486*t[64])/9 + (796*t[65])/27 + (6164*t[66])/27 + (64*t[70])/9 - 
       (64*t[71])/9 - (320*t[72])/9 - (64*t[73])/3 + (64*t[75])/3 - 
       (128*t[76])/9 + (32*t[77])/9 - (512*t[78])/9 + (832*t[80])/9 - 
       (160*t[81])/3 + (352*t[82])/9 + (64*t[83])/9 - (308*t[84])/9 + 
       (556*t[85])/9 - (256*t[86])/3 - (1732*t[87])/9 - (182*t[88])/3 - 
       (1054*t[89])/9 - (64*t[95])/3 - (256*t[96])/9 + (128*t[98])/3 - 
       64*t[100]) + HPL[{0, 1}, 1 - w]*Qep[w, v, u]*
      ((64*t[1])/3 + (952*t[2])/9 - (1084*t[3])/9 + (376*t[4])/3 - 
       (20*t[5])/3 + (67*t[6])/3 - (2344*t[7])/9 + (2524*t[8])/9 - 
       (778*t[9])/3 + (1244*t[10])/9 - (761*t[11])/9 - (1700*t[12])/9 + 
       (892*t[13])/81 - (5899*t[14])/27 - (2111*t[15])/81 + (128*t[20])/9 - 
       (64*t[24])/9 + (128*t[27])/9 - (112*t[29])/9 + 64*t[30] - 
       (64*t[31])/3 + (400*t[32])/9 + (160*t[33])/9 - (448*t[34])/9 - 
       (128*t[36])/3 - (256*t[37])/9 + (160*t[38])/9 - (544*t[39])/9 + 
       (664*t[40])/9 - (32*t[41])/9 + (32*t[42])/9 - (32*t[43])/9 + 
       (8*t[44])/3 + (416*t[45])/3 + (16*t[46])/3 - (416*t[47])/3 + 
       (221*t[48])/3 - (476*t[49])/9 + (203*t[50])/9 + (118*t[51])/3 - 
       (779*t[52])/9 + (220*t[53])/9 + (473*t[54])/9 - (304*t[59])/9 + 
       (1918*t[60])/9 + (170*t[61])/9 + (1615*t[62])/9 - (4447*t[63])/9 - 
       143*t[64] + (1502*t[65])/9 - (554*t[66])/27 + (128*t[70])/9 - 
       (128*t[71])/9 + (128*t[73])/3 + (32*t[74])/3 - (128*t[75])/3 - 
       (1184*t[76])/9 + (224*t[77])/9 + (1280*t[78])/9 + 128*t[79] - 
       (320*t[80])/3 - (112*t[81])/9 - (368*t[82])/9 - (160*t[83])/9 + 
       (502*t[84])/3 - (134*t[85])/9 - (256*t[86])/3 + (2662*t[87])/9 + 
       219*t[88] + (647*t[89])/3 - (128*t[95])/3 - (512*t[96])/9 - 32*t[97] - 
       (2432*t[98])/3 + 896*t[99] - 64*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-23*t[1])/24 - (59*t[2])/16 - (1027*t[3])/192 - (73*t[4])/8 + 
       (1609*t[5])/96 + (11113*t[6])/384 + (9*t[7])/32 + (269*t[8])/8 + 
       (4313*t[9])/192 - (53*t[10])/24 + (367*t[11])/384 + (2357*t[12])/96 + 
       (7553*t[13])/1728 + (35563*t[14])/1152 + (2281*t[15])/576 + t[22]/2 + 
       (2*t[24])/3 - (2*t[27])/3 - 4*t[28] + (59*t[29])/12 - 6*t[30] + 
       (20*t[31])/3 - (299*t[32])/48 + (19*t[33])/12 + (115*t[34])/12 + 
       (59*t[35])/6 - (11*t[36])/12 - t[37]/4 - (47*t[38])/12 + 
       (15*t[39])/4 - (73*t[40])/6 + (5*t[41])/12 - (5*t[42])/12 - t[43]/24 + 
       (153*t[44])/32 - (52*t[45])/3 - t[46]/4 + (155*t[47])/12 + 
       (7523*t[48])/384 + (225*t[49])/16 - (2603*t[50])/128 - 
       (309*t[51])/32 + (4171*t[52])/128 - (515*t[53])/48 + 
       (1283*t[54])/128 + (101*t[59])/24 + (3287*t[60])/192 - 
       (735*t[61])/64 + (8813*t[62])/384 + (3009*t[63])/128 - 
       (2293*t[64])/384 - (1921*t[65])/64 - (6115*t[66])/576 - t[70]/2 + 
       t[71]/2 + (37*t[72])/6 + (23*t[73])/4 - (5*t[74])/6 - (25*t[75])/4 + 
       (185*t[76])/6 + (5*t[77])/12 - (311*t[78])/12 + (23*t[79])/4 + 
       (33*t[80])/2 + (227*t[81])/24 + (125*t[82])/24 + (4*t[83])/3 - 
       (3913*t[84])/192 + (1235*t[85])/192 - (103*t[86])/12 - 
       (8459*t[87])/192 - (10139*t[88])/384 - (2605*t[89])/128 + 
       (29*t[95])/6 + (11*t[96])/2 + (31*t[97])/6 + 156*t[98] - 159*t[99] - 
       (125*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*(t[1]/6 + (271*t[2])/72 + (10555*t[3])/192 + 
       (1585*t[4])/72 + (2207*t[5])/72 - (3957*t[6])/128 + (2717*t[7])/288 - 
       (8401*t[8])/144 - (15071*t[9])/576 - (1373*t[10])/72 + 
       (65765*t[11])/1152 + (529*t[12])/72 + (151249*t[13])/5184 - 
       (14005*t[14])/1152 - (10349*t[15])/5184 - (25*t[20])/18 - t[22]/2 + 
       (4*t[23])/3 + (37*t[24])/18 + t[25]/2 - (5*t[27])/9 - (13*t[28])/36 - 
       (103*t[29])/48 - (73*t[30])/72 - t[31]/6 - (45*t[32])/4 + 
       (263*t[33])/72 - (179*t[34])/36 - 11*t[35] + 2*t[36] - 
       (137*t[37])/36 + (7*t[38])/18 + (71*t[39])/18 - (169*t[40])/144 - 
       (47*t[41])/72 + (47*t[42])/72 + (121*t[43])/72 + (929*t[44])/288 - 
       (115*t[45])/36 - (17*t[46])/24 + (13*t[47])/6 - (26335*t[48])/1152 + 
       (1027*t[49])/144 - (9419*t[50])/1152 - (115*t[51])/36 + 
       (371*t[52])/128 - (145*t[53])/48 - (40565*t[54])/1152 + (5*t[59])/36 - 
       (7243*t[60])/576 + (1049*t[61])/64 - (12217*t[62])/1152 + 
       (3985*t[63])/1152 - (3803*t[64])/128 - (98351*t[65])/1728 - 
       (132661*t[66])/1728 - 2*t[69] - (49*t[70])/18 + (49*t[71])/18 - 
       (26*t[72])/9 - (7*t[73])/4 - (11*t[74])/6 - (55*t[75])/12 + 
       (133*t[76])/9 + (5*t[77])/36 - (1037*t[78])/36 + (19*t[79])/4 + 
       (91*t[80])/9 - t[81]/4 + (169*t[82])/36 - (47*t[83])/18 - 
       (11143*t[84])/576 - (1637*t[85])/192 - (79*t[86])/36 - 
       (12853*t[87])/576 - (9415*t[88])/384 - (33413*t[89])/1152 + 
       (19*t[95])/6 + (98*t[96])/9 + 2*t[97] + (257*t[98])/3 - 68*t[99] - 
       (371*t[100])/6) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-5*t[1])/2 - (191*t[2])/8 + (371*t[3])/12 + 
       (158*t[4])/3 - (43*t[5])/12 + (5089*t[6])/96 - (827*t[7])/12 + 
       (503*t[8])/6 + (3107*t[9])/48 + (121*t[10])/8 - (3881*t[11])/96 + 
       (119*t[12])/12 + (13583*t[13])/432 - (12797*t[14])/288 - 
       (9047*t[15])/288 - 4*t[19] - (3*t[20])/2 - 6*t[21] + 5*t[23] + 
       3*t[24] - 3*t[25] + 61*t[28] + (277*t[29])/4 + 36*t[30] + 6*t[31] + 
       (41*t[32])/2 - 10*t[33] + (11*t[34])/2 + 9*t[35] - 12*t[36] + 
       4*t[37] - t[38]/2 + (31*t[39])/2 - 20*t[40] - (11*t[41])/2 + 
       (5*t[42])/2 - t[43] - (185*t[44])/8 - (61*t[45])/2 + (19*t[46])/6 + 
       (133*t[47])/6 + (3165*t[48])/32 + (301*t[49])/12 - (2473*t[50])/96 - 
       (347*t[51])/24 + (3337*t[52])/96 - (205*t[53])/12 + (3005*t[54])/96 - 
       (11*t[59])/2 - (6877*t[60])/48 - (7655*t[61])/48 + (25709*t[62])/96 + 
       (2617*t[63])/32 + (103*t[64])/32 + (25097*t[65])/144 + 
       (24403*t[66])/144 - (15*t[69])/2 + 2*t[70] - 2*t[71] + 3*t[72] + 
       48*t[73] - (35*t[74])/2 + 63*t[75] + (367*t[76])/6 + (59*t[77])/6 - 
       (125*t[78])/3 - (27*t[79])/2 - (2*t[80])/3 + (239*t[81])/12 - 
       (55*t[82])/12 - (379*t[83])/4 - (2915*t[84])/48 + (129*t[85])/16 - 
       (237*t[86])/2 - (1837*t[87])/48 - (4357*t[88])/96 + (3385*t[89])/96 + 
       29*t[95] + 9*t[96] + 4*t[97] + 348*t[98] - 318*t[99] - 
       (123*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - u]*(8*t[1] + (115*t[2])/8 + (2831*t[3])/48 + 
       (77*t[4])/6 + (967*t[5])/6 - (16277*t[6])/96 + (43*t[7])/8 - 
       (2985*t[8])/8 - (1999*t[9])/16 - (901*t[10])/24 + (24805*t[11])/96 + 
       (739*t[12])/24 + (4985*t[13])/36 - (45643*t[14])/288 - 
       (3047*t[15])/144 + 6*t[19] - (17*t[20])/2 - 6*t[21] + t[22]/6 + 
       5*t[23] + 3*t[24] - 3*t[25] + 28*t[28] - (185*t[29])/4 - 8*t[30] + 
       (3*t[31])/2 - 6*t[32] + 8*t[33] - 7*t[34] - 21*t[35] + 12*t[36] - 
       14*t[37] + 4*t[38] + (49*t[39])/2 - (103*t[40])/4 + (5*t[41])/2 - 
       t[42]/2 + (19*t[43])/2 + (607*t[44])/8 - (13*t[45])/6 + (3*t[47])/2 - 
       (3125*t[48])/32 + (95*t[49])/12 - (1255*t[50])/96 - (139*t[51])/24 + 
       (1351*t[52])/96 + (49*t[53])/12 - (17305*t[54])/96 - (17*t[59])/2 - 
       (3307*t[60])/48 - (1429*t[61])/48 - (16181*t[62])/96 - 
       (15419*t[63])/96 + (23135*t[64])/96 - (15859*t[65])/144 - 
       (79805*t[66])/144 - (3*t[69])/2 - 4*t[70] + 4*t[71] - (9*t[72])/2 + 
       36*t[73] - (59*t[74])/2 + 42*t[75] + (127*t[76])/2 + (9*t[77])/2 - 
       (173*t[78])/2 + 9*t[79] + 58*t[80] + (77*t[81])/4 - (59*t[82])/4 - 
       (319*t[83])/4 - (1033*t[84])/16 - (427*t[85])/16 + 48*t[86] + 
       (505*t[87])/16 - (415*t[88])/32 - (13993*t[89])/96 + 29*t[95] + 
       26*t[96] + (17*t[97])/2 + 348*t[98] - 318*t[99] - (123*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-13*t[1])/8 + (19*t[2])/8 + (45*t[3])/8 - (99*t[4])/8 + t[5]/24 + 
       (35*t[6])/32 + (211*t[7])/24 - (319*t[8])/12 + (781*t[9])/48 - 
       (317*t[10])/48 + (1579*t[11])/96 + (805*t[12])/48 + (449*t[13])/48 + 
       (2225*t[14])/144 + (2005*t[15])/864 + t[19] - t[20] - t[21] + 
       t[22]/2 + t[23]/2 - t[25]/2 + t[26]/2 - t[27]/2 - t[28]/3 - 
       (31*t[29])/12 - (17*t[30])/6 + 3*t[31] - (71*t[32])/12 + t[33] + 
       (119*t[34])/12 + 4*t[35] - (5*t[37])/2 - (13*t[38])/4 + (9*t[39])/2 - 
       (33*t[40])/4 - t[41]/8 + (3*t[42])/8 + t[43]/4 + (19*t[44])/4 - 
       (21*t[45])/2 + t[46]/2 + 8*t[47] - (411*t[48])/32 + (17*t[49])/16 + 
       (163*t[50])/96 - (89*t[51])/32 + (773*t[52])/96 - (17*t[53])/16 - 
       (297*t[54])/32 + t[59]/12 + t[60]/48 + (43*t[61])/48 - (25*t[62])/32 + 
       (1473*t[63])/32 + (367*t[64])/96 - (3031*t[65])/144 - 
       (5237*t[66])/144 - t[70] + t[71] + 2*t[72] + t[73] - (7*t[74])/6 + 
       3*t[75] + 13*t[76] - t[77] - 13*t[78] - t[79] + 11*t[80] + 
       (73*t[81])/12 + (11*t[82])/12 + (7*t[83])/3 - (379*t[84])/48 + 
       (299*t[85])/48 - (7*t[86])/3 - (1463*t[87])/48 - (597*t[88])/32 - 
       (3149*t[89])/96 + (7*t[95])/3 + t[96] + t[97] + 78*t[98] - 72*t[99] - 
       61*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*
      (-16*t[2] - 145*t[3] - (329*t[5])/2 - 94*t[6] + 189*t[7] + 183*t[8] + 
       (261*t[9])/2 - t[10] + 28*t[11] + (69*t[12])/2 - (125*t[13])/2 + 
       (427*t[14])/6 + (243*t[15])/4 - 12*t[20] - 120*t[28] + 108*t[32] - 
       120*t[33] - 12*t[34] + 12*t[35] - 93*t[48] + 93*t[50] - 93*t[52] - 
       93*t[54] - 2*t[59] - 20*t[60] + 46*t[61] + 5*t[62] + 478*t[63] - 
       122*t[64] + 54*t[65] + (802*t[66])/3 + 4*t[67] + 4*t[69] - 20*t[70] + 
       20*t[71] - 160*t[73] - 88*t[74] + 180*t[75] + 12*t[79] + 172*t[83] + 
       12*t[86] + 8*t[87] + 4*t[88] - 27*t[89] - 60*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*(80*t[4] + (195*t[5])/2 + 
       4*t[6] + 7*t[7] - 195*t[8] + (121*t[9])/2 - 40*t[10] + 91*t[11] - 
       (65*t[12])/2 + (575*t[13])/6 + (41*t[14])/3 - (949*t[15])/12 - 
       32*t[28] + 4*t[44] - t[48] + 35*t[49] + t[50] - (35*t[51])/2 - t[52] - 
       35*t[53] - 71*t[54] + 94*t[60] + 14*t[61] + 17*t[62] - 233*t[63] - 
       14*t[64] - 63*t[65] - 323*t[66] - 160*t[73] + 180*t[75] + 50*t[81] - 
       50*t[82] + 160*t[83] + 5*t[84] + 70*t[85] - 84*t[87] - 42*t[88] + 
       34*t[89] - 60*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*
      (-2*t[1] + 6*t[2] + t[3] + 38*t[4] + 31*t[5] + 9*t[6] - 32*t[7] - 
       116*t[8] + 27*t[9] - 49*t[10] + 34*t[11] - 26*t[12] + (935*t[13])/18 + 
       (43*t[14])/2 - (58*t[15])/3 + 4*t[16] - 16*t[30] + 8*t[31] + 8*t[36] - 
       16*t[37] + 4*t[39] - 4*t[40] + 12*t[44] - 30*t[48] + 23*t[49] + 
       2*t[50] - (23*t[51])/2 - 2*t[52] - 29*t[53] - 48*t[54] + 
       (201*t[60])/2 - (191*t[61])/2 + (155*t[62])/4 - (527*t[63])/4 - 
       (157*t[64])/4 - 29*t[65] - (454*t[66])/3 - 28*t[72] + 80*t[76] + 
       16*t[77] - 120*t[78] + 32*t[80] + 17*t[81] - 51*t[82] + 6*t[84] + 
       (181*t[85])/2 - (129*t[87])/2 - (129*t[88])/4 + (133*t[89])/4 + 
       384*t[98] - 480*t[99] - 60*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*(2*t[1] + 38*t[2] - 43*t[3] + 75*t[4] - 
       (271*t[5])/4 + (77*t[6])/4 + 51*t[7] + (23*t[8])/2 + (419*t[9])/4 + 
       23*t[10] - (249*t[11])/4 - (61*t[12])/4 + (877*t[13])/18 + 
       (691*t[14])/12 - (787*t[15])/24 - 4*t[16] - 5*t[17] + 12*t[20] - 
       2*t[24] + 2*t[29] - 12*t[30] + 8*t[31] - 12*t[32] + 6*t[33] + 
       36*t[34] - 8*t[36] - 6*t[39] + 12*t[40] - 14*t[41] + 14*t[42] - 
       8*t[43] - 6*t[44] - 64*t[45] + 80*t[47] + (29*t[48])/4 + 
       (53*t[49])/2 - (27*t[50])/4 - (53*t[51])/4 - (69*t[52])/4 - 
       (53*t[53])/2 - (57*t[54])/4 - 23*t[59] + (261*t[60])/2 - 151*t[61] + 
       (599*t[62])/4 - (187*t[63])/4 - (333*t[64])/2 - 43*t[65] - 108*t[66] + 
       4*t[67] + 13*t[68] - 4*t[69] + 4*t[70] - 4*t[71] - 24*t[72] + 
       8*t[74] + 16*t[76] - 40*t[78] - 32*t[80] + 11*t[81] - 7*t[82] + 
       t[84] + (121*t[85])/2 - 32*t[86] - (177*t[87])/2 - (177*t[88])/4 + 
       (189*t[89])/2 + 3*t[90] + 384*t[98] - 480*t[99] - 60*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-3*t[1] + (15*t[2])/2 - (231*t[3])/8 - (51*t[4])/2 - 2*t[5] + 
       (179*t[6])/4 - (3*t[7])/4 + (319*t[8])/4 + (157*t[9])/4 - 
       (13*t[10])/4 - (79*t[11])/4 + (43*t[12])/2 - (61*t[13])/8 + 
       (383*t[14])/8 + (1771*t[15])/144 + 10*t[28] + (19*t[29])/2 - 
       (11*t[30])/2 + 6*t[31] + t[32] + (3*t[33])/2 + 23*t[34] + 12*t[35] - 
       6*t[38] - 9*t[40] - 16*t[44] - 21*t[45] + 15*t[47] + (31*t[48])/2 + 
       (45*t[49])/4 - 9*t[50] - (69*t[51])/8 + 27*t[52] - (45*t[53])/4 + 
       (101*t[54])/4 + t[59] + 17*t[60] - (43*t[61])/2 + (91*t[62])/4 + 
       (175*t[63])/4 + (15*t[64])/2 + (61*t[65])/12 + (125*t[66])/4 + 
       6*t[72] + 6*t[73] - 2*t[74] + 6*t[75] + 21*t[76] - 12*t[78] - 
       6*t[79] + 18*t[80] + 4*t[81] + 2*t[82] - 4*t[83] - (31*t[84])/4 + 
       (71*t[85])/4 + 10*t[86] - (189*t[87])/4 - (193*t[88])/8 - 19*t[89] + 
       4*t[95] + 3*t[97] + 144*t[98] - 144*t[99] - 60*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((11*t[1])/8 + (45*t[2])/16 + (13*t[3])/64 + (259*t[4])/24 + 
       (1205*t[5])/96 - (3479*t[6])/384 + (937*t[7])/96 + (323*t[8])/48 - 
       (1003*t[9])/192 + (181*t[10])/48 + (7847*t[11])/384 + (521*t[12])/96 + 
       (13387*t[13])/1728 + (527*t[14])/1152 - (2459*t[15])/864 + 2*t[27] - 
       (37*t[28])/6 + (19*t[29])/12 + (25*t[30])/12 + t[31] + (11*t[32])/16 - 
       (13*t[33])/4 + (5*t[34])/3 + (11*t[35])/2 + (19*t[36])/12 + 
       (5*t[37])/12 + (7*t[38])/12 + (41*t[39])/12 - (71*t[40])/24 + t[41] - 
       t[42] - (17*t[43])/24 - (617*t[44])/96 + (7*t[45])/12 - t[46]/2 - 
       t[47] + (1403*t[48])/384 + (173*t[49])/24 - (4361*t[50])/384 - 
       (185*t[51])/48 + (3433*t[52])/384 - (77*t[53])/24 - (1655*t[54])/384 - 
       (5*t[59])/12 - (1937*t[60])/192 + (4571*t[61])/192 - 
       (9371*t[62])/384 - (6301*t[63])/384 + (12659*t[64])/384 - 
       (19885*t[65])/576 - (25031*t[66])/576 - (5*t[70])/6 + (5*t[71])/6 + 
       (8*t[72])/3 - (77*t[73])/12 + t[74]/6 + (19*t[75])/4 + (89*t[76])/12 - 
       (5*t[77])/4 - (26*t[78])/3 + (65*t[79])/12 - (17*t[80])/6 + t[81]/8 + 
       (265*t[82])/24 + (65*t[83])/6 - (831*t[84])/64 - (3329*t[85])/192 + 
       (125*t[86])/12 + (761*t[87])/192 - (679*t[88])/384 - 
       (1509*t[89])/128 + (5*t[95])/6 + (109*t[96])/12 + (43*t[97])/12 + 
       12*t[98] + 21*t[99] - 60*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*(3*t[1] + (27*t[2])/4 - (285*t[3])/8 + 
       (107*t[4])/4 - (231*t[5])/8 + (305*t[6])/16 + (51*t[7])/4 + 25*t[8] + 
       (61*t[9])/2 + (129*t[10])/8 + (247*t[11])/16 - (69*t[12])/4 + 
       (287*t[13])/24 + 29*t[14] + (193*t[15])/144 + 2*t[28] - (3*t[29])/2 + 
       4*t[30] - 2*t[31] + 6*t[32] + t[33] - 2*t[34] - 2*t[35] - 6*t[36] - 
       3*t[37] + t[38] + 2*t[39] - t[40]/2 + t[41]/2 - t[42]/2 - t[43]/2 + 
       (11*t[44])/4 + 8*t[45] + 2*t[46] - 9*t[47] + (83*t[48])/16 + 
       (39*t[49])/8 + (39*t[50])/16 - (23*t[51])/16 - (71*t[52])/16 - 
       (39*t[53])/8 + (157*t[54])/16 - t[59]/2 + (429*t[60])/8 + 
       (601*t[61])/8 - (521*t[62])/16 - (727*t[63])/16 - (879*t[64])/16 - 
       (127*t[65])/8 - (1855*t[66])/24 + 2*t[70] - 2*t[71] + 4*t[73] + 
       5*t[74] - t[76] + 5*t[77] + (19*t[81])/2 - (23*t[82])/2 - 2*t[83] + 
       (131*t[84])/8 + (41*t[85])/8 - 18*t[86] - (81*t[87])/8 + 
       (79*t[88])/16 + (267*t[89])/16 - 6*t[95] - 2*t[96] + t[97] - 
       24*t[98] + 36*t[99] - 60*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*((-5*t[1])/4 - (13*t[2])/12 + 
       (49*t[3])/24 + t[4]/3 - (221*t[5])/12 + (65*t[6])/12 + (17*t[7])/6 - 
       (52*t[8])/3 + (119*t[9])/12 - (38*t[10])/3 + (23*t[11])/3 + 
       (13*t[12])/4 + (1147*t[13])/108 - (227*t[14])/72 - (721*t[15])/432 - 
       (4*t[24])/3 + (4*t[27])/3 + 2*t[28] - (19*t[29])/6 - (5*t[30])/3 - 
       (8*t[32])/3 + (2*t[33])/3 - (5*t[34])/2 - 4*t[35] + 4*t[36] - 
       (5*t[37])/3 - t[38]/3 + (7*t[39])/3 - (4*t[40])/3 - (7*t[41])/12 + 
       (7*t[42])/12 - t[43]/3 + (103*t[44])/12 + (11*t[45])/3 + t[46] - 
       4*t[47] - 8*t[48] - (37*t[49])/4 + 3*t[50] + (71*t[51])/24 - 
       (23*t[52])/6 + (79*t[53])/12 + (7*t[54])/4 + (5*t[59])/6 + 
       (41*t[60])/3 + (223*t[61])/12 + (55*t[62])/3 + (19*t[63])/3 - 
       (457*t[64])/24 + (601*t[65])/36 - (413*t[66])/18 - (2*t[70])/3 + 
       (2*t[71])/3 - (8*t[72])/3 + 4*t[73] - t[74] - 4*t[75] - t[76]/6 - 
       (4*t[77])/3 + (13*t[78])/3 - (29*t[80])/3 + 7*t[81] - (19*t[82])/6 - 
       (8*t[83])/3 + (163*t[84])/12 + (28*t[85])/3 - 12*t[86] + 
       (11*t[87])/3 - t[88] + (23*t[89])/12 - 2*t[95] - (10*t[96])/3 - 
       3*t[97] - 16*t[98] + 36*t[99] - 60*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      (t[1]/4 + (13*t[2])/6 - (49*t[3])/24 + (63*t[4])/4 - (67*t[5])/8 + 
       (5*t[6])/4 + (31*t[7])/12 - (223*t[8])/12 - (35*t[9])/8 + 
       (5*t[10])/24 + (23*t[11])/3 - (41*t[12])/6 + (919*t[13])/216 - 
       (143*t[14])/144 - (341*t[15])/216 - t[19] + t[20]/3 - t[21] + t[22] + 
       t[23] + (4*t[24])/3 - (2*t[27])/3 - t[29]/6 + 7*t[30] - (7*t[32])/3 + 
       (5*t[33])/3 + (11*t[34])/6 - 4*t[36] - (2*t[37])/3 + (7*t[38])/6 - 
       (13*t[39])/6 + (11*t[40])/3 - (7*t[41])/12 + (7*t[42])/12 - 
       (5*t[43])/6 + (15*t[44])/4 + 6*t[45] + t[46] - 10*t[47] - 
       (19*t[48])/4 + (67*t[49])/24 + (25*t[50])/12 - (13*t[51])/16 - 
       (79*t[52])/12 - (83*t[53])/24 + t[54]/12 - (35*t[59])/12 + 
       (89*t[60])/12 + (79*t[61])/3 + (289*t[62])/24 + (227*t[63])/24 - 
       24*t[64] - 12*t[65] - (799*t[66])/36 - (2*t[70])/3 + (2*t[71])/3 - 
       2*t[72] + 4*t[73] + t[74] - 4*t[75] - (5*t[76])/6 + (4*t[77])/3 - 
       (7*t[78])/6 + 8*t[79] - 14*t[80] + (29*t[81])/6 - (17*t[82])/6 - 
       (5*t[83])/3 + 5*t[84] + (29*t[85])/12 - 18*t[86] + (41*t[87])/12 - 
       (9*t[88])/8 - (15*t[89])/8 - 2*t[95] - t[96]/3 - (3*t[97])/2 - 
       16*t[98] + 36*t[99] - 60*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*(t[1]/2 + (415*t[2])/24 - 
       (2831*t[3])/48 - (83*t[4])/8 - (443*t[5])/16 + (1819*t[6])/32 - 
       (1039*t[7])/24 + (1751*t[8])/12 + (63*t[9])/8 + (37*t[10])/48 - 
       (4313*t[11])/96 - (34*t[12])/3 - (5287*t[13])/432 + (1433*t[14])/72 + 
       (1909*t[15])/864 + (4*t[20])/3 + (4*t[24])/3 + 2*t[25] + (4*t[27])/3 - 
       (5*t[29])/12 - t[30] - 2*t[31] + (85*t[32])/6 + (13*t[33])/6 - 
       (5*t[34])/3 - 6*t[36] - (19*t[37])/6 - (4*t[38])/3 - (14*t[39])/3 + 
       (17*t[40])/12 - (7*t[41])/12 + (7*t[42])/12 - (7*t[43])/12 - 
       (57*t[44])/8 + (29*t[45])/2 + (3*t[46])/2 - 18*t[47] + 
       (905*t[48])/32 - (397*t[49])/48 - (1345*t[50])/96 + (131*t[51])/32 + 
       (1345*t[52])/96 - (19*t[53])/48 + (4781*t[54])/96 - (5*t[59])/3 + 
       (4973*t[60])/48 + (1069*t[61])/48 + (2263*t[62])/96 - 
       (9367*t[63])/96 - (793*t[64])/32 + (395*t[65])/16 - (319*t[66])/144 + 
       (13*t[70])/3 - (13*t[71])/3 + 2*t[72] + 6*t[73] + (11*t[74])/2 - 
       6*t[75] - (107*t[76])/6 + (11*t[77])/6 + (167*t[78])/6 + 12*t[79] - 
       7*t[80] + (61*t[81])/12 - (61*t[82])/12 - (20*t[83])/3 + 
       (645*t[84])/16 + (629*t[85])/48 - 5*t[86] + (587*t[87])/48 + 
       (857*t[88])/32 + (1249*t[89])/32 - 11*t[95] - (43*t[96])/3 - 3*t[97] - 
       124*t[98] + 138*t[99] - 60*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*((-7*t[1])/2 + (325*t[2])/24 - 
       (1631*t[3])/24 - (187*t[4])/24 - (1709*t[5])/48 + (4555*t[6])/96 + 
       (25*t[7])/12 + (1921*t[8])/24 + (503*t[9])/12 - (617*t[10])/48 - 
       (2819*t[11])/96 + (5*t[12])/4 - (3391*t[13])/216 + (1283*t[14])/36 + 
       (3629*t[15])/432 - (10*t[24])/3 + 2*t[25] + (4*t[27])/3 + 3*t[28] - 
       (19*t[29])/6 - (23*t[30])/3 - 2*t[31] + (113*t[32])/6 - (23*t[33])/6 - 
       6*t[34] - 6*t[35] + 6*t[36] + (5*t[37])/6 - (4*t[38])/3 - 
       (5*t[39])/3 - t[40]/12 - (7*t[41])/12 + (7*t[42])/12 - (7*t[43])/12 + 
       (43*t[44])/12 + (97*t[45])/6 + (3*t[46])/2 - 15*t[47] + 
       (695*t[48])/32 - (261*t[49])/16 + (59*t[50])/32 + (635*t[51])/96 - 
       (305*t[52])/96 + (463*t[53])/48 + (1509*t[54])/32 + (11*t[59])/6 + 
       (4475*t[60])/48 + (2737*t[61])/48 - (13*t[62])/96 - (6475*t[63])/96 - 
       (6655*t[64])/96 + (7663*t[65])/144 + (569*t[66])/144 + (13*t[70])/3 - 
       (13*t[71])/3 - (8*t[72])/3 + 6*t[73] + (5*t[74])/2 - 6*t[75] - 
       (97*t[76])/6 + t[77]/6 + (185*t[78])/6 - (89*t[80])/3 + (21*t[81])/4 - 
       (131*t[82])/12 - (20*t[83])/3 + (2287*t[84])/48 + (529*t[85])/48 - 
       9*t[86] + (1103*t[87])/48 + (1093*t[88])/32 + (3889*t[89])/96 - 
       11*t[95] - (43*t[96])/3 - 3*t[97] - 124*t[98] + 138*t[99] - 
       60*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      (t[1]/4 + (839*t[2])/36 - (2861*t[3])/72 + (467*t[4])/18 - 
       (731*t[5])/36 + (1249*t[6])/72 + (1289*t[7])/72 + (1751*t[8])/36 + 
       (2377*t[9])/72 - (73*t[10])/18 + (259*t[11])/18 - (343*t[12])/24 + 
       (1973*t[13])/162 + (7385*t[14])/432 + (863*t[15])/324 - (13*t[24])/9 + 
       (13*t[27])/9 + 5*t[28] + (127*t[29])/36 + (25*t[30])/9 - 
       (11*t[31])/3 + (869*t[32])/72 - (161*t[33])/18 - (23*t[34])/6 - 
       8*t[35] + (23*t[36])/6 + (13*t[37])/9 + (37*t[38])/18 + 
       (11*t[39])/18 + (319*t[40])/72 - (13*t[41])/36 + (13*t[42])/36 - 
       t[43]/9 - (355*t[44])/72 + (313*t[45])/18 + (17*t[46])/12 - 
       (29*t[47])/2 + (121*t[48])/12 - (79*t[49])/12 - (13*t[50])/12 + 
       (433*t[51])/144 - (355*t[52])/36 + (205*t[53])/36 + (221*t[54])/12 - 
       (49*t[59])/18 + (1949*t[60])/36 + (4361*t[61])/72 - (3263*t[62])/144 - 
       (11285*t[63])/144 - (2737*t[64])/72 + (851*t[65])/54 - 
       (2627*t[66])/54 - t[69] + (4*t[70])/9 - (4*t[71])/9 + (7*t[72])/9 + 
       (11*t[73])/3 + (5*t[74])/2 - (8*t[75])/3 - (71*t[76])/9 + 
       (20*t[77])/9 + (413*t[78])/18 - 4*t[79] - (236*t[80])/9 + 
       (89*t[81])/12 - (425*t[82])/36 - (91*t[83])/18 + (533*t[84])/18 - 
       (235*t[85])/72 + (5*t[86])/3 + (1241*t[87])/36 + (479*t[88])/24 + 
       (2695*t[89])/72 - (16*t[95])/3 - (7*t[96])/9 - 2*t[97] - 
       (226*t[98])/3 + 98*t[99] - 59*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]^2*(-t[3] + (25*t[4])/2 - (63*t[5])/8 - 
       (23*t[6])/2 + (71*t[7])/2 - (141*t[8])/2 + (293*t[9])/8 - 
       (31*t[10])/4 + (109*t[11])/4 + (61*t[12])/8 + (65*t[13])/8 - 9*t[14] - 
       (1615*t[15])/144 - (13*t[43])/4 + 21*t[44] - (13*t[45])/2 + 13*t[47] - 
       (55*t[48])/4 + (7*t[49])/4 + (55*t[50])/4 - (7*t[51])/8 - 
       (55*t[52])/4 - (7*t[53])/4 - (69*t[54])/4 - t[60]/2 + (75*t[61])/2 - 
       (147*t[62])/4 - (5*t[63])/4 - 4*t[64] - (29*t[65])/4 - (193*t[66])/4 + 
       2*t[73] + 3*t[75] + 4*t[79] + (7*t[81])/2 - (7*t[82])/2 - 16*t[83] + 
       (7*t[84])/4 + (7*t[85])/2 + 12*t[86] + 4*t[87] + 2*t[88] - 15*t[89] - 
       57*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]^2*
      ((-21*t[2])/2 - (7*t[3])/4 + 6*t[4] + (13*t[5])/8 + (15*t[6])/2 - 
       (71*t[7])/4 + (67*t[8])/4 + (3*t[9])/8 + (15*t[10])/4 + 6*t[11] + 
       (15*t[12])/8 + (163*t[13])/24 - (23*t[14])/12 + (341*t[15])/144 - 
       t[20] + 2*t[28] - 7*t[32] + 2*t[33] - t[34] - 5*t[35] + (21*t[48])/4 - 
       t[49]/2 - (21*t[50])/4 - (11*t[51])/8 + (21*t[52])/4 + t[53]/2 + 
       (21*t[54])/4 + (13*t[59])/2 + 8*t[60] + 20*t[61] - (17*t[62])/2 - 
       (29*t[63])/4 + (17*t[64])/4 + (17*t[65])/2 - (175*t[66])/6 + t[67] - 
       t[69] - 7*t[70] + 7*t[71] + 2*t[73] + 3*t[75] + 7*t[79] + 2*t[81] - 
       2*t[82] - 17*t[83] + 3*t[84] - t[86] - 2*t[87] - t[88] + (3*t[89])/4 - 
       57*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-85*t[1])/8 - (219*t[2])/16 - (125*t[3])/8 + (785*t[4])/16 - 
       (137*t[5])/8 + (861*t[6])/32 - (859*t[7])/16 + (105*t[8])/8 + 
       (11*t[9])/2 + (1949*t[10])/32 - (1101*t[11])/32 + (763*t[12])/32 + 
       (9755*t[13])/288 + (2537*t[14])/192 + (417*t[15])/32 - (5*t[16])/8 - 
       t[18] - t[20] - t[21] - 2*t[22] + t[23] - t[24] - (3*t[25])/2 - 
       2*t[26] + t[27]/2 - (9*t[29])/2 - (13*t[30])/2 + 2*t[31] - 5*t[32] + 
       4*t[33] + 7*t[34] + t[35] + (3*t[36])/4 + (3*t[38])/4 - t[39] + 
       (7*t[41])/4 - (9*t[42])/4 - (47*t[43])/8 - (31*t[44])/8 + 
       (41*t[45])/4 - (17*t[46])/2 - 25*t[47] - (447*t[48])/32 + 
       (343*t[49])/32 - (395*t[50])/32 + (105*t[51])/64 + (379*t[52])/32 - 
       (375*t[53])/32 - (131*t[54])/32 - t[58] - (15*t[59])/2 + 61*t[60] - 
       (221*t[61])/2 + (1199*t[62])/8 + 24*t[63] - (821*t[64])/4 - 
       (847*t[65])/48 - (161*t[66])/16 + (5*t[68])/4 - 2*t[69] + 4*t[70] - 
       4*t[71] + 4*t[72] - 4*t[73] - 13*t[74] + 10*t[75] + (13*t[76])/2 - 
       (35*t[77])/4 - (31*t[78])/4 + 11*t[79] - 80*t[80] + (137*t[81])/8 - 
       (65*t[82])/8 - 22*t[83] + (65*t[84])/16 + (137*t[85])/4 - 
       (231*t[86])/2 - (153*t[87])/2 - (153*t[88])/4 - (15*t[89])/8 + 
       t[92]/2 + 2*t[97] + 36*t[98] - 36*t[99] - 57*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((135*t[1])/8 - (77*t[2])/16 + (5*t[3])/2 - (89*t[4])/8 + 
       (1379*t[5])/32 - (1015*t[6])/32 + (57*t[7])/8 - (157*t[8])/16 - 
       (1023*t[9])/32 - (147*t[10])/4 + (1931*t[11])/32 - (875*t[12])/32 + 
       (759*t[13])/16 - (4433*t[14])/96 + (597*t[15])/64 + (9*t[16])/8 + 
       2*t[25] - (43*t[26])/2 - 4*t[28] + t[30]/4 - 5*t[31] - 2*t[32] + 
       2*t[33] - t[34] - 2*t[35] + (31*t[36])/4 - (7*t[37])/2 + 
       (79*t[38])/4 - (31*t[39])/4 + (41*t[40])/4 + t[41]/2 - t[42]/2 + 
       (13*t[43])/4 - (5*t[44])/2 + (21*t[45])/4 + (25*t[46])/4 - 
       (25*t[47])/2 - (257*t[48])/32 - (113*t[49])/16 - (37*t[50])/32 + 
       (301*t[51])/32 - (155*t[52])/32 + (197*t[53])/16 - (635*t[54])/32 - 
       t[58] - (23*t[59])/2 + (317*t[60])/16 - (1141*t[61])/16 - 
       (925*t[62])/32 - (2215*t[63])/32 + (1467*t[64])/32 - (83*t[65])/8 - 
       (269*t[66])/6 - t[68]/4 - 2*t[69] + 3*t[70] - 3*t[71] - (3*t[72])/2 + 
       4*t[73] - (15*t[74])/2 - 22*t[75] + (59*t[76])/4 - (19*t[77])/4 - 
       (159*t[78])/4 + 14*t[79] + (35*t[80])/2 + (53*t[81])/8 + 
       (101*t[82])/8 + (35*t[83])/2 - (29*t[84])/4 + (63*t[85])/16 + 
       (77*t[86])/2 + (277*t[87])/16 + (405*t[88])/32 + (95*t[89])/32 - 
       t[95] + 5*t[96] + (9*t[97])/2 + 36*t[98] - 36*t[99] - 57*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((37*t[1])/12 + 30*t[2] + (103*t[3])/24 + (35*t[4])/2 + (67*t[5])/4 - 
       (797*t[6])/24 + (2845*t[7])/24 - (2215*t[8])/24 + (3607*t[9])/24 - 
       (1775*t[10])/24 + 77*t[11] + (85*t[12])/3 + (8287*t[13])/432 + 
       (255*t[14])/8 - (2759*t[15])/216 + t[16]/6 + (7*t[18])/3 + t[19] - 
       2*t[20] + 4*t[21] - (41*t[22])/3 - (8*t[23])/3 + 6*t[24] - 
       (28*t[27])/3 + (13*t[29])/6 + (14*t[30])/3 - 4*t[31] - 4*t[32] + 
       (10*t[33])/3 + (161*t[34])/6 - 6*t[35] - (23*t[36])/3 - 4*t[37] - 
       (31*t[38])/6 + (61*t[39])/6 - 16*t[40] + (13*t[41])/4 - 
       (25*t[42])/12 - (49*t[43])/24 + (25*t[44])/12 - (703*t[45])/12 + 
       74*t[47] - (25*t[48])/12 + (299*t[49])/12 + (197*t[50])/12 - 
       (275*t[51])/24 - (43*t[52])/12 - (203*t[53])/12 - (57*t[54])/2 + 
       t[58] + (37*t[59])/6 - (61*t[60])/12 + (595*t[61])/12 - 
       (170*t[62])/3 + (1057*t[63])/12 - (1619*t[64])/24 - (404*t[65])/9 - 
       (989*t[66])/9 - t[68]/3 - 6*t[69] - 2*t[70] + 2*t[71] + 6*t[72] - 
       12*t[73] + (26*t[74])/3 + 12*t[75] + (92*t[76])/3 + (4*t[77])/3 - 
       (92*t[78])/3 + 4*t[79] + (239*t[80])/3 - (29*t[81])/3 + 40*t[82] + 
       19*t[83] - (79*t[84])/2 - (247*t[85])/6 - (161*t[87])/3 - 
       (49*t[88])/2 - (239*t[89])/4 + (8*t[95])/3 + 12*t[96] + (32*t[97])/3 + 
       140*t[98] - 112*t[99] - 56*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((49*t[1])/12 + (51*t[2])/2 - 
       (389*t[3])/24 + (143*t[4])/6 + (247*t[5])/8 - (157*t[6])/6 + 
       (424*t[7])/3 - (1043*t[8])/12 + (2573*t[9])/24 + (1799*t[10])/24 + 
       (823*t[11])/6 + 26*t[12] + (4121*t[13])/216 + (1508*t[14])/9 + 
       (7225*t[15])/216 - t[16]/6 + (2*t[17])/3 - (17*t[19])/9 + 3*t[21] - 
       3*t[23] - (16*t[24])/3 + t[26] - 4*t[27] + 8*t[28] - (28*t[29])/3 - 
       (19*t[30])/3 + 12*t[31] + (19*t[32])/3 - 10*t[33] - (23*t[34])/6 - 
       5*t[35] + (44*t[36])/3 + t[37]/3 - (7*t[38])/6 + (53*t[39])/2 - 
       19*t[40] + (5*t[41])/4 - (5*t[42])/4 + t[43] + (241*t[44])/12 - 
       5*t[45] - (11*t[46])/3 - t[47]/3 - (143*t[48])/6 + (703*t[49])/24 + 
       (47*t[50])/2 - (74*t[51])/3 - (43*t[52])/3 - (211*t[53])/24 - 
       (953*t[54])/12 - t[55]/6 + 8*t[59] + (113*t[60])/2 + (3439*t[61])/12 - 
       (1979*t[62])/12 + (1123*t[63])/6 - (8327*t[64])/24 - (1030*t[65])/9 - 
       (429*t[66])/2 - 3*t[68] - 9*t[72] - 14*t[73] - (19*t[74])/3 + 
       18*t[75] + (235*t[76])/6 - (7*t[77])/6 - (289*t[78])/6 - 42*t[79] + 
       (17*t[80])/3 + (5*t[81])/3 + (2*t[82])/3 - 5*t[83] - (112*t[84])/3 - 
       (251*t[85])/6 - 59*t[86] - (239*t[87])/3 - (142*t[88])/3 - 
       (817*t[89])/8 + (14*t[95])/3 + 24*t[96] + (44*t[97])/3 + 140*t[98] - 
       112*t[99] - 56*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*(2*t[1] - (521*t[2])/24 + (9*t[3])/4 + 
       (79*t[4])/3 - (225*t[5])/16 + (1307*t[6])/96 - (95*t[7])/6 - 
       (97*t[8])/24 - (275*t[9])/24 + (37*t[10])/2 - (85*t[11])/32 - 
       (243*t[12])/16 - (589*t[13])/216 - (1945*t[14])/96 - 13*t[15] - 
       t[17]/4 + 2*t[20] + 2*t[22] + (8*t[24])/3 - t[27]/3 - (4*t[28])/3 + 
       (47*t[29])/6 + 3*t[30] + t[31] + 3*t[32] - 2*t[33] - t[34] - 6*t[36] - 
       t[37]/3 + (17*t[38])/6 - (17*t[39])/6 + (61*t[40])/12 + (5*t[41])/6 - 
       (5*t[42])/6 - (5*t[43])/3 - (31*t[44])/4 + (23*t[45])/2 + t[46] - 
       (29*t[47])/2 + (413*t[48])/96 + (47*t[49])/12 - (1087*t[50])/96 - 
       (53*t[51])/48 + (223*t[52])/96 - (13*t[53])/4 + (1427*t[54])/96 + 
       t[55]/2 - t[59]/3 - (293*t[60])/48 + (1483*t[61])/48 - (61*t[62])/96 - 
       (745*t[63])/32 + (2371*t[64])/96 - (1471*t[65])/48 - 
       (2579*t[66])/144 + t[68]/2 - 2*t[69] - (4*t[70])/3 + (4*t[71])/3 - 
       6*t[72] - 3*t[73] + 5*t[74] + 21*t[75] + t[76]/3 + (11*t[77])/3 - 
       (28*t[78])/3 + 9*t[79] - 16*t[80] + (29*t[81])/12 - (23*t[82])/12 - 
       12*t[83] - (29*t[84])/48 - (41*t[85])/16 - (85*t[86])/3 + 
       (79*t[87])/48 - (123*t[88])/32 + (197*t[89])/32 - 4*t[95] + 
       (7*t[96])/3 - 20*t[98] + 40*t[99] - 55*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-5*t[1])/2 + (53*t[2])/24 + (19*t[3])/48 - (199*t[4])/12 - 
       (1817*t[5])/48 - (33*t[6])/32 + (133*t[7])/8 - (147*t[8])/4 + 
       (785*t[9])/24 - (153*t[10])/8 + (563*t[11])/96 + (373*t[12])/48 - 
       (179*t[13])/54 + (2443*t[14])/288 - (121*t[15])/288 - t[17]/4 + 
       10*t[20] - (5*t[24])/3 + (5*t[27])/3 + (26*t[28])/3 - (5*t[29])/6 - 
       (59*t[30])/6 + t[31] - (5*t[32])/6 - (13*t[33])/6 + 3*t[34] - 
       2*t[35] + 6*t[36] - (7*t[37])/3 - (5*t[38])/3 + (2*t[39])/3 - 
       (5*t[40])/3 - (7*t[41])/6 + (7*t[42])/6 + (7*t[43])/12 + 
       (173*t[44])/24 + t[45]/12 + (3*t[46])/2 - 3*t[47] - (1469*t[48])/96 - 
       (97*t[49])/8 + (1343*t[50])/96 + (137*t[51])/48 - (341*t[52])/32 + 
       (163*t[53])/24 + (337*t[54])/96 - 2*t[57] - t[59]/12 + 
       (1553*t[60])/48 + (395*t[61])/48 + (289*t[62])/32 + (815*t[63])/32 - 
       (951*t[64])/32 + (1183*t[65])/144 - (539*t[66])/16 + t[68]/2 - 
       (4*t[70])/3 + (4*t[71])/3 + (2*t[72])/3 - 3*t[73] - 2*t[74] + 
       13*t[75] - (4*t[76])/3 - (11*t[77])/3 + (31*t[78])/6 - 3*t[79] - 
       (19*t[80])/3 + (23*t[81])/4 - t[82]/12 - t[83] + (1019*t[84])/48 + 
       (857*t[85])/48 - (5*t[86])/6 - (95*t[87])/16 - (733*t[88])/96 - 
       (1687*t[89])/96 + t[93] - 4*t[95] - (20*t[96])/3 - (9*t[97])/2 - 
       20*t[98] + 40*t[99] - 55*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2*((-5*t[1])/8 + (245*t[2])/48 - (877*t[3])/48 + 
       (481*t[4])/48 - (1495*t[5])/96 + (1631*t[6])/192 + (29*t[7])/6 + 
       (695*t[8])/48 + (713*t[9])/48 - (445*t[10])/96 + (2561*t[11])/192 - 
       (47*t[12])/16 + (3307*t[13])/432 + (2105*t[14])/144 + 
       (553*t[15])/216 - t[20]/2 + t[22]/2 - (4*t[24])/3 + (4*t[27])/3 + 
       t[28] + (7*t[29])/12 + t[30]/3 - t[31] + (11*t[32])/6 - 
       (31*t[33])/12 + (3*t[34])/4 - t[35]/2 + t[36]/2 - (5*t[37])/12 - 
       t[38]/12 - (5*t[39])/12 + (31*t[40])/24 - t[41]/12 + t[42]/12 - 
       (11*t[43])/24 - (31*t[44])/24 + (41*t[45])/12 + t[46]/2 - 
       (7*t[47])/2 - (5*t[48])/64 - (45*t[49])/32 + (239*t[50])/64 + 
       (31*t[51])/192 - (925*t[52])/192 - (25*t[53])/96 + (289*t[54])/64 - 
       (2*t[59])/3 + (2143*t[60])/96 + (3509*t[61])/96 - (929*t[62])/192 - 
       (647*t[63])/192 - (2411*t[64])/192 + (623*t[65])/288 - 
       (9131*t[66])/288 - t[70]/6 + t[71]/6 - (5*t[72])/3 + t[73] + 
       (3*t[74])/4 - (11*t[76])/3 - t[77]/12 + (121*t[78])/12 - 2*t[79] - 
       (14*t[80])/3 + (37*t[81])/8 - (145*t[82])/24 - (2*t[83])/3 + 
       (1235*t[84])/96 + (281*t[85])/96 + t[86]/2 + (343*t[87])/96 + 
       (109*t[88])/64 + (773*t[89])/192 - (3*t[95])/2 - (11*t[96])/6 - 
       (3*t[97])/2 - 28*t[98] + 45*t[99] - 54*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*(-3*t[1] + (15*t[2])/4 - 
       9*t[3] - (87*t[4])/4 - (9*t[5])/2 + (255*t[6])/8 - 54*t[7] + 
       (219*t[8])/2 - 12*t[9] - (63*t[10])/8 - (291*t[11])/8 + (45*t[12])/8 + 
       (55*t[13])/12 - (169*t[14])/16 + (11*t[15])/4 + 6*t[25] - 3*t[26] + 
       3*t[29] - 6*t[30] - 3*t[31] + 3*t[34] - 3*t[37] - (9*t[38])/2 - 
       3*t[39] - (3*t[41])/2 + (3*t[42])/2 + (3*t[43])/2 - (27*t[44])/2 + 
       3*t[46] + (189*t[48])/8 - (129*t[49])/8 - (147*t[50])/8 + 
       (69*t[51])/16 + (147*t[52])/8 + (57*t[53])/8 + (249*t[54])/8 + 
       (3*t[59])/4 + (111*t[60])/4 - (87*t[61])/4 + (177*t[62])/4 - 
       (105*t[63])/4 + (519*t[64])/8 + (85*t[65])/2 + (171*t[66])/4 + 
       3*t[72] - (27*t[76])/2 - 3*t[77] + (57*t[78])/2 + 24*t[80] + 3*t[82] - 
       3*t[83] + 18*t[84] - 6*t[85] + 18*t[86] + 21*t[87] + 9*t[88] + 
       (135*t[89])/8 - 9*t[96] - (9*t[97])/2 - 72*t[98] + 72*t[99] - 
       54*t[100]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-3*t[1])/2 + (57*t[2])/4 - (57*t[3])/2 + (111*t[4])/4 + (27*t[5])/8 + 
       (15*t[6])/4 - (21*t[7])/4 + (159*t[8])/4 - (57*t[9])/8 + 
       (57*t[10])/8 + 15*t[11] - 15*t[12] - (13*t[13])/2 + (373*t[14])/16 + 
       (87*t[15])/16 + 3*t[25] - 3*t[26] + 6*t[29] + 6*t[30] - 6*t[31] + 
       6*t[32] - 6*t[33] + 6*t[37] + (3*t[38])/2 - 6*t[39] + (21*t[40])/2 - 
       (3*t[43])/2 - 9*t[44] + (21*t[45])/2 - 3*t[46] - (21*t[47])/2 + 
       (81*t[48])/4 + (69*t[49])/8 - (3*t[50])/4 - (9*t[51])/16 - 
       (33*t[52])/4 - (69*t[53])/8 + 9*t[54] - (15*t[59])/4 + (45*t[60])/2 + 
       60*t[61] - (99*t[62])/4 - (57*t[63])/4 - (15*t[64])/4 - 6*t[65] - 
       21*t[66] + 6*t[72] - 12*t[76] + (51*t[78])/2 - 27*t[80] + 
       (3*t[81])/2 - (15*t[82])/2 + 15*t[84] - (33*t[85])/2 + 6*t[86] + 
       (51*t[87])/2 + (51*t[88])/4 + 3*t[89] - (3*t[97])/2 - 72*t[98] + 
       72*t[99] - 54*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((41*t[1])/24 - (295*t[2])/48 + 
       (811*t[3])/192 + (43*t[4])/3 - (31*t[5])/36 - (5351*t[6])/576 + 
       (2689*t[7])/96 - (8891*t[8])/288 + (1679*t[9])/144 + (997*t[10])/144 + 
       (19483*t[11])/576 + (1733*t[12])/288 + (1603*t[13])/192 + 
       (3025*t[14])/192 + (17797*t[15])/10368 - t[19]/2 - t[20]/2 - t[21]/2 + 
       t[22]/2 + t[23]/2 - t[25] + t[26]/2 - t[27] + (71*t[28])/36 + 
       (11*t[29])/72 + (121*t[30])/144 + (4*t[31])/3 - (427*t[32])/144 - 
       (7*t[33])/48 + (35*t[34])/72 + (5*t[35])/3 + t[37]/2 + (11*t[38])/12 + 
       (7*t[39])/2 - (5*t[40])/4 + (7*t[41])/8 - (7*t[42])/8 - t[43] + 
       (377*t[44])/72 - (29*t[45])/12 - t[46]/2 + (13*t[47])/12 - 
       (2735*t[48])/576 + (35*t[49])/4 + (5*t[50])/64 - (79*t[51])/24 - 
       (85*t[52])/64 - (13*t[53])/4 - (6623*t[54])/576 + (113*t[59])/144 - 
       (3781*t[60])/288 + (16141*t[61])/288 - (18661*t[62])/576 + 
       (12125*t[63])/576 - (661*t[64])/64 - (688*t[65])/27 - (989*t[66])/24 - 
       t[70] + t[71] + (5*t[72])/6 + (17*t[73])/12 - (29*t[74])/18 + 
       (23*t[75])/12 + (155*t[76])/12 + (3*t[77])/2 - (56*t[78])/3 - 
       (17*t[79])/12 - (9*t[80])/2 + (49*t[81])/18 - (17*t[82])/9 + 
       (19*t[83])/36 - (1219*t[84])/72 - (89*t[85])/9 - (283*t[86])/36 - 
       (503*t[87])/48 - (3035*t[88])/288 - (9527*t[89])/576 + (29*t[95])/9 + 
       8*t[96] + (53*t[97])/12 + 74*t[98] - 68*t[99] - (160*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-17*t[1])/6 + (215*t[2])/36 - (4813*t[3])/96 - (179*t[4])/18 - 
       (2497*t[5])/144 + (7193*t[6])/288 + (3193*t[7])/144 + 
       (6443*t[8])/144 + (3047*t[9])/72 - (539*t[10])/36 - (1097*t[11])/288 + 
       (1421*t[12])/72 - (3599*t[13])/288 + (3421*t[14])/96 + 
       (635*t[15])/5184 + (2*t[20])/9 - t[24] + (4*t[27])/9 + (5*t[28])/6 - 
       (37*t[29])/72 - (61*t[30])/9 - t[31] + (33*t[32])/2 - (161*t[33])/18 + 
       (19*t[34])/18 - (11*t[35])/3 + (22*t[36])/3 + (95*t[37])/18 + 
       (2*t[38])/9 + (59*t[39])/18 - (52*t[40])/9 + (29*t[41])/36 - 
       (29*t[42])/36 - (37*t[43])/36 + (293*t[44])/144 + (40*t[45])/9 + 
       t[46]/6 + t[47]/6 + (313*t[48])/32 - (443*t[49])/36 + 
       (277*t[50])/288 + (137*t[51])/36 + (619*t[52])/288 + (149*t[53])/12 + 
       (7753*t[54])/288 - (17*t[59])/36 + (10841*t[60])/144 + (403*t[61])/9 - 
       (317*t[62])/12 - (4051*t[63])/72 - (755*t[64])/72 + (3085*t[65])/216 - 
       (535*t[66])/27 + (19*t[70])/9 - (19*t[71])/9 - (13*t[72])/9 + t[73] + 
       t[74] + t[76]/3 - (2*t[77])/3 + (157*t[78])/9 - 4*t[79] - 
       (208*t[80])/9 + (44*t[81])/9 - (17*t[82])/2 - (56*t[83])/9 + 
       (911*t[84])/36 + (65*t[85])/12 - (13*t[86])/3 - (31*t[87])/36 + 
       (89*t[88])/8 + (3917*t[89])/288 - (19*t[95])/3 - (31*t[96])/9 + 
       t[97] - (40*t[98])/3 + 14*t[99] - 52*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      (3*t[1] + (25*t[2])/12 - (121*t[3])/3 + 11*t[4] - (211*t[5])/8 + 
       (439*t[6])/16 - (59*t[7])/6 + (715*t[8])/12 + (27*t[9])/2 + 
       (221*t[10])/12 - (629*t[11])/48 - (427*t[12])/24 - (407*t[13])/108 + 
       (2681*t[14])/144 - (349*t[15])/216 - t[20]/3 + t[22] + (2*t[24])/3 + 
       (2*t[27])/3 + 2*t[28] - (4*t[29])/3 - 2*t[31] + (47*t[32])/6 + 
       (7*t[33])/3 - (10*t[34])/3 - 2*t[35] - 5*t[36] - (7*t[37])/3 + 
       (4*t[38])/3 - t[39]/3 + (5*t[40])/6 + (5*t[41])/6 - (5*t[42])/6 - 
       (2*t[43])/3 - (9*t[44])/2 + 11*t[45] + (3*t[46])/2 - 12*t[47] + 
       (221*t[48])/16 - (11*t[49])/12 - (181*t[50])/48 + (5*t[51])/4 + 
       (85*t[52])/48 - (5*t[53])/12 + (1265*t[54])/48 - t[59]/3 + 
       (1253*t[60])/24 + (1291*t[61])/24 - (989*t[62])/48 - (3187*t[63])/48 - 
       (191*t[64])/16 - (23*t[65])/24 - (2791*t[66])/72 - t[69] + 
       (8*t[70])/3 - (8*t[71])/3 + t[72] + 4*t[73] + 6*t[74] - t[75] - 
       (20*t[76])/3 + (11*t[77])/3 + (14*t[78])/3 + 4*t[79] - 5*t[80] + 
       (25*t[81])/6 - (49*t[82])/6 - (11*t[83])/6 + (179*t[84])/8 + 
       (131*t[85])/24 - 10*t[86] + (113*t[87])/24 + (251*t[88])/16 + 
       (401*t[89])/16 - 8*t[95] - (14*t[96])/3 - 56*t[98] + 64*t[99] - 
       50*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((-7*t[1])/4 + (1489*t[2])/144 + (1199*t[3])/36 - (19*t[4])/24 + 
       (1153*t[5])/48 - (917*t[6])/48 + (3995*t[7])/144 - (2951*t[8])/36 - 
       (105*t[9])/8 - (2353*t[10])/144 + (3697*t[11])/144 + (71*t[12])/72 + 
       (5969*t[13])/648 - (10091*t[14])/864 + (22133*t[15])/2592 + t[18]/2 - 
       t[19] + (43*t[20])/18 - t[21] - 3*t[22] + t[23] - (11*t[24])/18 - 
       (11*t[27])/18 + t[28]/2 + (79*t[29])/18 + (31*t[30])/3 - 
       (13*t[31])/6 - (1115*t[32])/144 - (13*t[33])/18 + (115*t[34])/18 - 
       (11*t[35])/2 - (7*t[36])/4 - (13*t[37])/9 - (53*t[38])/36 + t[39]/18 + 
       (89*t[40])/72 - (83*t[41])/36 + (65*t[42])/36 - (41*t[43])/36 + 
       (121*t[44])/12 - (103*t[45])/12 + (7*t[46])/12 + (29*t[47])/12 - 
       (461*t[48])/24 + (907*t[49])/144 + (1069*t[50])/72 - (473*t[51])/96 - 
       (1117*t[52])/72 - (875*t[53])/144 - (4069*t[54])/144 - (97*t[59])/36 - 
       (452*t[60])/9 + (401*t[61])/144 + (353*t[62])/18 + (7183*t[63])/72 - 
       (1407*t[64])/32 - (1163*t[65])/72 + (2041*t[66])/108 - t[69] - 
       (35*t[70])/18 + (35*t[71])/18 - (4*t[72])/3 + (7*t[73])/4 - 
       (9*t[74])/2 - (13*t[75])/4 + (179*t[76])/18 - t[77]/36 - 
       (179*t[78])/18 + (11*t[79])/6 + (31*t[80])/6 + (445*t[81])/72 + 
       (317*t[82])/72 + (107*t[83])/36 - (209*t[84])/12 - (419*t[85])/144 - 
       (41*t[86])/3 - (901*t[87])/72 - (887*t[88])/48 - (1981*t[89])/48 + 
       (19*t[95])/3 + (59*t[96])/18 - (3*t[97])/2 + (187*t[98])/3 - 
       49*t[99] - (99*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*(-3*t[2] - (27*t[3])/2 + 18*t[4] - (79*t[5])/2 + 
       (31*t[6])/4 + 17*t[7] + 29*t[8] + 27*t[9] + 11*t[10] + (65*t[11])/4 - 
       t[12]/2 + t[13]/2 + (89*t[14])/4 + (7*t[15])/36 - 2*t[29] + 2*t[30] - 
       2*t[31] + 4*t[35] - 4*t[36] + 3*t[40] - t[44] + 2*t[46] - 
       (15*t[48])/4 + 7*t[49] + (29*t[50])/4 - 2*t[51] - (29*t[52])/4 - 
       7*t[53] + (23*t[54])/4 - (29*t[60])/2 + (81*t[61])/2 - (229*t[62])/4 + 
       (37*t[63])/4 + (65*t[64])/4 + (65*t[65])/6 - (27*t[66])/2 + 2*t[72] - 
       6*t[76] - 8*t[79] + 4*t[81] - 16*t[82] + 16*t[83] + (3*t[84])/2 + 
       (7*t[85])/2 + 48*t[86] + (9*t[87])/2 + (9*t[88])/4 + (41*t[89])/4 - 
       48*t[100]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-3*t[2] - (27*t[3])/2 + 18*t[4] - (79*t[5])/2 + (31*t[6])/4 + 
       17*t[7] + 29*t[8] + 27*t[9] + 11*t[10] + (65*t[11])/4 - t[12]/2 + 
       t[13]/2 + (89*t[14])/4 + (7*t[15])/36 - 2*t[29] + 2*t[30] - 2*t[31] + 
       4*t[35] - 4*t[36] + 3*t[40] - t[44] + 2*t[46] - (15*t[48])/4 + 
       7*t[49] + (29*t[50])/4 - 2*t[51] - (29*t[52])/4 - 7*t[53] + 
       (23*t[54])/4 - (29*t[60])/2 + (81*t[61])/2 - (229*t[62])/4 + 
       (37*t[63])/4 + (65*t[64])/4 + (65*t[65])/6 - (27*t[66])/2 + 2*t[72] - 
       6*t[76] - 8*t[79] + 4*t[81] - 16*t[82] + 16*t[83] + (3*t[84])/2 + 
       (7*t[85])/2 + 48*t[86] + (9*t[87])/2 + (9*t[88])/4 + (41*t[89])/4 - 
       48*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(3*t[2] + 10*t[3] - 18*t[4] + (57*t[5])/2 + 
       (91*t[6])/4 - 32*t[7] + 60*t[8] - 40*t[9] - 27*t[10] - (71*t[11])/4 + 
       (27*t[12])/2 + 5*t[13] - (55*t[14])/4 + (19*t[15])/9 - 10*t[29] - 
       14*t[30] - 4*t[31] - 8*t[32] + 8*t[33] - 4*t[35] + 4*t[36] - 2*t[43] - 
       7*t[44] - 2*t[46] + (33*t[48])/4 - 9*t[49] - (115*t[50])/4 + 3*t[51] + 
       (115*t[52])/4 + 9*t[53] + (95*t[54])/4 + (15*t[60])/2 + (3*t[61])/2 + 
       (115*t[62])/4 - (171*t[63])/4 + (205*t[64])/4 + (119*t[65])/6 + 
       (47*t[66])/2 + 4*t[72] - 6*t[76] + 8*t[79] - 4*t[81] + 8*t[82] - 
       20*t[83] + (17*t[84])/2 - (7*t[85])/2 - 8*t[86] + (7*t[87])/2 + 
       (7*t[88])/4 + (49*t[89])/4 - 48*t[100]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*(3*t[2] + 10*t[3] - 18*t[4] + (57*t[5])/2 + 
       (91*t[6])/4 - 32*t[7] + 60*t[8] - 40*t[9] - 27*t[10] - (71*t[11])/4 + 
       (27*t[12])/2 + 5*t[13] - (55*t[14])/4 + (19*t[15])/9 - 10*t[29] - 
       14*t[30] - 4*t[31] - 8*t[32] + 8*t[33] - 4*t[35] + 4*t[36] - 2*t[43] - 
       7*t[44] - 2*t[46] + (33*t[48])/4 - 9*t[49] - (115*t[50])/4 + 3*t[51] + 
       (115*t[52])/4 + 9*t[53] + (95*t[54])/4 + (15*t[60])/2 + (3*t[61])/2 + 
       (115*t[62])/4 - (171*t[63])/4 + (205*t[64])/4 + (119*t[65])/6 + 
       (47*t[66])/2 + 4*t[72] - 6*t[76] + 8*t[79] - 4*t[81] + 8*t[82] - 
       20*t[83] + (17*t[84])/2 - (7*t[85])/2 - 8*t[86] + (7*t[87])/2 + 
       (7*t[88])/4 + (49*t[89])/4 - 48*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-23*t[1])/12 + (59*t[2])/72 + (13675*t[3])/576 + (187*t[4])/18 + 
       (3751*t[5])/288 + (35*t[6])/1152 - (13691*t[7])/288 + (97*t[8])/144 - 
       (24857*t[9])/576 - (185*t[10])/72 + (26933*t[11])/1152 + 
       (337*t[12])/96 + (140663*t[13])/5184 - (36043*t[14])/3456 - 
       (22175*t[15])/5184 - t[18]/2 + t[19] - (25*t[20])/6 - t[21] + 
       3*t[22] + (7*t[24])/9 - (5*t[27])/18 + (31*t[28])/12 - 
       (1045*t[29])/144 + (167*t[30])/36 - t[31]/6 - (1951*t[32])/144 + 
       (52*t[33])/9 + (23*t[34])/12 - (19*t[35])/6 + (3*t[36])/4 - 
       (16*t[37])/9 - (47*t[38])/36 + (89*t[39])/36 - (193*t[40])/72 - 
       (5*t[41])/36 + (23*t[42])/36 - (13*t[43])/18 - (179*t[44])/288 - 
       (17*t[45])/9 + (13*t[46])/12 - t[47]/6 - (1645*t[48])/384 + 
       (17*t[49])/8 - (6745*t[50])/384 - (277*t[51])/144 + 
       (21323*t[52])/1152 - (185*t[53])/72 - (3119*t[54])/384 - 
       (41*t[59])/72 - (8531*t[60])/576 - (3187*t[61])/576 + 
       (30559*t[62])/1152 + (23593*t[63])/1152 + (38701*t[64])/1152 - 
       (7639*t[65])/1728 - (96677*t[66])/1728 - t[69]/2 - (29*t[70])/18 + 
       (29*t[71])/18 + (49*t[72])/18 + (10*t[73])/3 - (17*t[74])/12 - 
       (10*t[75])/3 + (233*t[76])/36 - (43*t[77])/18 - (271*t[78])/36 - 
       (34*t[80])/9 + (301*t[81])/24 - (119*t[82])/72 - (61*t[83])/36 - 
       (1351*t[84])/576 - (1027*t[85])/576 - (29*t[86])/2 - 
       (1817*t[87])/576 - (1553*t[88])/128 - (14605*t[89])/1152 + 
       (16*t[95])/3 + (17*t[96])/18 - 2*t[97] + (52*t[98])/3 - 12*t[99] - 
       (191*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((-11*t[2])/8 - (137*t[3])/24 + 9*t[4] + 
       (19*t[5])/96 + (1583*t[6])/96 - (31*t[7])/3 + (1471*t[8])/48 + 
       (281*t[9])/96 + (367*t[10])/48 + (1343*t[11])/96 + (725*t[12])/96 + 
       (135*t[13])/16 + (3335*t[14])/144 + (14543*t[15])/1728 - t[20]/4 + 
       t[22]/2 + t[28]/4 + (161*t[29])/48 - (67*t[30])/12 + (4*t[31])/3 - 
       (91*t[32])/24 + (5*t[33])/4 + (11*t[34])/3 + (7*t[35])/6 - 
       (5*t[36])/2 - t[37]/2 - (3*t[38])/2 + (3*t[39])/2 - 3*t[40] + 
       t[41]/4 - t[42]/4 - t[43] - (353*t[44])/48 - 7*t[45] + t[46]/4 + 
       (11*t[47])/2 + (1183*t[48])/96 + (57*t[49])/8 - (647*t[50])/96 - 
       (33*t[51])/8 + (1127*t[52])/96 - (41*t[53])/8 + (371*t[54])/96 + 
       (7*t[59])/3 + (329*t[60])/48 + (1213*t[61])/48 - (175*t[62])/48 + 
       (145*t[63])/16 - (2213*t[64])/96 - (137*t[65])/8 - (343*t[66])/24 - 
       t[69]/4 + (11*t[72])/6 - (5*t[73])/12 + (4*t[74])/3 + (17*t[75])/4 + 
       9*t[76] + 3*t[77] - 7*t[78] - (7*t[79])/12 + (9*t[80])/2 + 
       (31*t[81])/12 - (49*t[82])/12 - (35*t[83])/24 - (103*t[84])/12 - 
       (47*t[85])/24 - (205*t[86])/12 - (499*t[87])/16 - (1585*t[88])/96 - 
       (227*t[89])/32 + (4*t[95])/3 + 3*t[96] + 3*t[97] + 72*t[98] - 
       72*t[99] - (187*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]^2*(t[1]/4 - (1379*t[2])/144 + (743*t[3])/18 + 
       (3971*t[4])/144 + (4639*t[5])/288 - (19337*t[6])/576 - 
       (829*t[7])/144 - (8789*t[8])/144 - (3479*t[9])/144 + (85*t[10])/288 + 
       (30661*t[11])/576 + (7*t[12])/6 + (38183*t[13])/1296 - 
       (2117*t[14])/108 - (10951*t[15])/2592 + 2*t[18] - t[19]/2 + 
       (5*t[20])/2 + t[21]/2 - 2*t[22] + (11*t[24])/18 - (11*t[27])/18 + 
       (3*t[28])/2 - (59*t[29])/72 + (145*t[30])/18 + t[31]/6 - 
       (1807*t[32])/144 - (7*t[33])/18 - (11*t[34])/3 - (7*t[35])/2 + 
       (17*t[36])/12 - (31*t[37])/36 + (11*t[38])/18 + (49*t[39])/18 + 
       (25*t[40])/144 - (25*t[41])/72 + (7*t[42])/72 + (11*t[43])/72 + 
       (443*t[44])/144 - (71*t[45])/36 + (5*t[46])/24 + (7*t[47])/2 - 
       (3049*t[48])/192 + (557*t[49])/96 - (677*t[50])/192 - 
       (1729*t[51])/576 - (1361*t[52])/576 - (743*t[53])/288 - 
       (6707*t[54])/192 + (85*t[59])/72 - (9217*t[60])/288 + 
       (7051*t[61])/288 - (8815*t[62])/576 + (14399*t[63])/576 + 
       (10541*t[64])/576 - (26273*t[65])/864 - (54535*t[66])/864 - 
       (5*t[69])/2 - (83*t[70])/18 + (83*t[71])/18 - (4*t[72])/9 + 
       (5*t[73])/6 - (5*t[74])/2 - (4*t[75])/3 + (467*t[76])/36 + 
       (25*t[77])/36 - (535*t[78])/36 - (13*t[80])/9 + (73*t[81])/12 - 
       (65*t[82])/18 + (77*t[83])/36 - (6029*t[84])/288 - (3797*t[85])/288 - 
       (14*t[86])/3 - (2149*t[87])/288 - (3223*t[88])/192 - 
       (10259*t[89])/576 + (41*t[95])/6 + (76*t[96])/9 + (3*t[97])/4 + 
       (205*t[98])/3 - 56*t[99] - (87*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-11*t[1])/3 + (191*t[2])/24 - (15*t[3])/2 - (493*t[4])/24 - 
       (89*t[5])/8 + (195*t[6])/16 + (473*t[7])/16 + (361*t[8])/16 + 
       (1595*t[9])/48 + (44*t[10])/3 + (161*t[11])/6 + (1057*t[12])/48 + 
       (6035*t[13])/288 + (965*t[14])/32 + (907*t[15])/288 + t[17]/12 + 
       (4*t[18])/3 + 2*t[19] - t[21]/3 + t[23]/3 - (2*t[24])/3 - t[37] - 
       (7*t[41])/2 + (17*t[42])/6 - (91*t[43])/16 - (13*t[45])/8 + 
       (13*t[46])/12 + (91*t[47])/12 - (7*t[48])/2 - (87*t[49])/16 + 
       4*t[50] + (85*t[51])/32 - 4*t[52] + (87*t[53])/16 + (173*t[54])/24 + 
       (4*t[59])/3 + (53*t[60])/4 + (284*t[61])/3 - (689*t[62])/8 - 
       (415*t[63])/24 - (109*t[64])/12 + (117*t[65])/4 - (1219*t[66])/12 + 
       (7*t[67])/6 + 3*t[69] - (2*t[70])/3 + (2*t[71])/3 + t[74]/3 - 
       2*t[75] - (4*t[76])/3 + (2*t[78])/3 + 2*t[79] + (50*t[80])/3 + 
       (7*t[81])/3 - 7*t[82] + (13*t[83])/2 + (47*t[84])/12 - (19*t[85])/4 + 
       (109*t[86])/2 + t[87]/4 + t[88]/8 - (49*t[89])/8 - (7*t[94])/6 - 
       8*t[98] + 16*t[99] - 43*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - w]*((-5*t[1])/2 + t[2]/2 - 3*t[3] - 
       (173*t[4])/8 - (101*t[5])/12 + (41*t[6])/16 + 4*t[7] + 9*t[8] + 
       (47*t[9])/4 - (8*t[10])/3 - (115*t[11])/48 + (70*t[12])/3 - 
       (1511*t[13])/216 + (263*t[14])/288 + (101*t[15])/24 + t[16]/2 + 
       (3*t[25])/2 + (5*t[26])/6 + t[36] - (5*t[37])/3 - (4*t[38])/3 - 
       t[40]/3 + (17*t[46])/12 + (25*t[48])/16 - (211*t[49])/24 - 
       (39*t[50])/16 + (187*t[51])/32 + (149*t[52])/48 + (365*t[53])/24 + 
       (743*t[54])/48 + (7*t[59])/3 - (721*t[60])/24 + (485*t[61])/24 + 
       (61*t[62])/8 + (85*t[63])/6 + (193*t[64])/16 + (659*t[65])/72 - 
       (1181*t[66])/72 + 4*t[69] + 2*t[73] + t[74] + 3*t[75] - (4*t[76])/3 + 
       (2*t[78])/3 + t[79] - t[80]/3 + t[81]/4 - (11*t[82])/12 - 4*t[83] - 
       (253*t[84])/24 - (59*t[85])/6 + t[86] + (37*t[87])/4 - (13*t[88])/24 - 
       (187*t[89])/12 + 6*t[95] - t[97]/3 - 8*t[98] + 16*t[99] - 43*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (t[1]/12 - (1211*t[2])/144 + (233*t[3])/9 - (17*t[4])/24 + 
       (53*t[5])/12 - (3293*t[6])/128 + (5255*t[7])/144 - (20149*t[8])/288 - 
       (2453*t[9])/192 - (1453*t[10])/144 + (17189*t[11])/1152 + 
       (2873*t[12])/288 + (167*t[13])/162 - (102791*t[14])/3456 - 
       (34201*t[15])/10368 - 2*t[18] + t[19]/2 - (47*t[20])/18 + t[21]/2 + 
       2*t[22] - t[23]/2 - (7*t[24])/9 - (5*t[27])/18 - t[28] - 
       (31*t[29])/9 + (121*t[30])/12 - (11*t[31])/6 - (659*t[32])/144 - 
       (13*t[33])/18 - (29*t[34])/18 - 2*t[35] - (5*t[36])/12 - 
       (7*t[37])/36 + (7*t[38])/9 + (32*t[39])/9 + (139*t[40])/144 + 
       (77*t[41])/72 - (59*t[42])/72 - (139*t[43])/72 + (75*t[44])/4 + 
       (7*t[45])/12 + (5*t[46])/24 + (5*t[47])/6 - (5465*t[48])/384 - 
       (1133*t[49])/144 + (13009*t[50])/1152 + (23*t[51])/12 - 
       (20305*t[52])/1152 + (1501*t[53])/144 - (17645*t[54])/1152 - 
       (83*t[59])/72 - (32183*t[60])/576 + (18107*t[61])/576 + 
       (16517*t[62])/1152 + (80539*t[63])/1152 + (5213*t[64])/384 + 
       (2731*t[65])/192 + (48541*t[66])/1728 + 3*t[69] - (7*t[70])/9 + 
       (7*t[71])/9 + (5*t[72])/6 + (17*t[73])/12 - (16*t[74])/3 - 
       (5*t[75])/12 + (193*t[76])/36 + (17*t[77])/36 - (433*t[78])/36 + 
       (13*t[79])/2 - (29*t[80])/6 + (421*t[81])/72 + (353*t[82])/72 + 
       (31*t[83])/18 - (2371*t[84])/192 - (8813*t[85])/576 - (137*t[86])/6 + 
       (7297*t[87])/576 - (647*t[88])/128 - (7807*t[89])/384 + (35*t[95])/6 + 
       (46*t[96])/9 + t[97]/4 + (70*t[98])/3 - 19*t[99] - (167*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-95*t[3])/4 - (755*t[5])/24 + (95*t[6])/12 + (160*t[7])/3 + 
       (185*t[8])/12 + (255*t[9])/8 - (35*t[10])/12 - 5*t[11] + 
       (35*t[12])/24 - (155*t[13])/12 + (3305*t[14])/72 + (4985*t[15])/432 - 
       (55*t[28])/3 - (55*t[29])/4 + 5*t[30] + (125*t[44])/12 - 
       (215*t[48])/6 + (265*t[50])/12 - (265*t[52])/12 + (95*t[54])/12 - 
       (95*t[60])/3 + (175*t[61])/2 - (535*t[62])/24 + (1415*t[63])/24 - 
       (395*t[64])/12 + (1115*t[65])/36 + (1505*t[66])/36 - 5*t[73] - 
       25*t[75] + 5*t[79] + (100*t[83])/3 + (25*t[84])/4 + (25*t[85])/4 + 
       (35*t[86])/3 + (95*t[87])/3 + (95*t[88])/6 + 5*t[89] - 40*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((55*t[2])/12 - (35*t[3])/3 + (85*t[4])/12 + (15*t[5])/2 - 
       (125*t[6])/12 - 5*t[7] - (155*t[8])/4 - (265*t[9])/12 + (5*t[10])/24 + 
       (145*t[11])/6 + (25*t[12])/24 + (170*t[13])/9 + (1645*t[14])/144 + 
       (335*t[15])/108 - (20*t[20])/3 - (40*t[28])/3 - (55*t[29])/3 + 
       (15*t[30])/2 - (185*t[32])/6 + (145*t[33])/6 - (20*t[34])/3 - 
       10*t[35] + 5*t[44] - (65*t[48])/3 + (5*t[49])/24 - (25*t[50])/12 - 
       (5*t[51])/48 + (25*t[52])/12 - (5*t[53])/24 - (65*t[54])/6 - 
       (5*t[59])/2 + (45*t[60])/4 + (125*t[61])/3 - (335*t[62])/8 - 
       (715*t[63])/24 + (305*t[64])/12 - (155*t[65])/12 - (1205*t[66])/12 - 
       5*t[73] + 5*t[74] - 25*t[75] + 5*t[79] + (5*t[81])/2 - (5*t[82])/2 + 
       (100*t[83])/3 + (115*t[84])/12 + (20*t[85])/3 + (35*t[86])/3 + 
       (125*t[87])/4 + (125*t[88])/8 + (205*t[89])/8 - 40*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((11*t[1])/12 + (673*t[2])/72 - (895*t[3])/72 + (103*t[4])/6 - 
       (91*t[5])/12 - (1903*t[6])/192 - (121*t[7])/72 + (1475*t[8])/144 - 
       (781*t[9])/96 + (16*t[10])/9 + (7997*t[11])/576 - (2473*t[12])/144 - 
       (517*t[13])/324 - (12875*t[14])/1728 + (12083*t[15])/5184 + 
       (7*t[20])/9 + 4*t[21] - t[22] - 3*t[23] - (8*t[24])/9 + t[25] - 
       t[26] + (16*t[27])/9 + (53*t[29])/18 + (13*t[30])/2 - (11*t[31])/3 + 
       (229*t[32])/72 - (16*t[33])/9 - (121*t[34])/18 - (17*t[36])/6 - 
       t[37]/18 + (31*t[38])/18 - (41*t[39])/9 + (763*t[40])/72 + 
       (14*t[41])/9 - (19*t[42])/18 - (7*t[43])/36 + (37*t[44])/12 + 
       (43*t[45])/3 - (7*t[46])/12 - (83*t[47])/6 + (943*t[48])/192 - 
       (47*t[49])/18 + (5161*t[50])/576 + (173*t[51])/48 - 
       (10057*t[52])/576 + (19*t[53])/18 - (2021*t[54])/576 - (31*t[59])/18 + 
       (1777*t[60])/288 + (15755*t[61])/288 - (4099*t[62])/576 - 
       (8765*t[63])/576 - (593*t[64])/64 + (3905*t[65])/288 - 
       (19595*t[66])/864 + 2*t[69] - (11*t[70])/9 + (11*t[71])/9 + 6*t[72] + 
       (17*t[73])/6 + t[74]/3 - (17*t[75])/6 - (130*t[76])/9 + 
       (11*t[77])/18 + (160*t[78])/9 + 8*t[79] - (31*t[80])/3 - 
       (29*t[81])/36 - (211*t[82])/36 - (13*t[83])/18 + (1501*t[84])/96 - 
       (2597*t[85])/288 + (4*t[86])/3 + (8713*t[87])/288 + (1185*t[88])/64 + 
       (1321*t[89])/192 - (7*t[95])/3 - (28*t[96])/9 - 3*t[97] - 
       (268*t[98])/3 + 94*t[99] - 38*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*(-t[1]/4 + (385*t[2])/72 - 
       (1787*t[3])/72 + (1235*t[4])/72 - (1499*t[5])/144 + (3037*t[6])/288 - 
       (235*t[7])/72 + (2659*t[8])/72 + (85*t[9])/72 + (1093*t[10])/144 + 
       (511*t[11])/288 - (277*t[12])/24 - (671*t[13])/81 + (4979*t[14])/432 + 
       (3007*t[15])/648 + t[22] + t[23] - (7*t[24])/9 + t[25] - t[26] - 
       (2*t[27])/9 + 2*t[28] + (103*t[29])/36 + (55*t[30])/9 - (11*t[31])/3 + 
       (533*t[32])/72 - (43*t[33])/9 - (35*t[34])/6 - 4*t[35] + 
       (17*t[36])/6 + (59*t[37])/18 + (31*t[38])/18 - (41*t[39])/9 + 
       (529*t[40])/72 - (17*t[41])/18 + (4*t[42])/9 - (43*t[43])/36 - 
       (223*t[44])/72 + (113*t[45])/9 - (7*t[46])/12 - (21*t[47])/2 + 
       (1637*t[48])/96 - (139*t[49])/48 + (49*t[50])/96 + (647*t[51])/288 - 
       (2531*t[52])/288 + (193*t[53])/144 + (1447*t[54])/96 - (7*t[59])/18 + 
       (2933*t[60])/144 + (7465*t[61])/144 - (3433*t[62])/288 - 
       (4807*t[63])/288 - (4165*t[64])/288 + (7729*t[65])/432 + 
       (1427*t[66])/432 + (7*t[70])/9 - (7*t[71])/9 + (19*t[72])/9 + 
       (5*t[73])/3 - (5*t[75])/3 - (104*t[76])/9 - (11*t[77])/18 + 
       (205*t[78])/9 - (287*t[80])/9 + (7*t[81])/6 - (139*t[82])/18 - 
       (11*t[83])/9 + (2413*t[84])/144 - (1547*t[85])/144 - (10*t[86])/3 + 
       (4241*t[87])/144 + (1835*t[88])/96 + (4879*t[89])/288 - (7*t[95])/3 - 
       (28*t[96])/9 - 2*t[97] - (238*t[98])/3 + 84*t[99] - 37*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (-t[1]/12 + (95*t[2])/36 - (8809*t[3])/192 - (85*t[4])/36 - 
       (557*t[5])/9 + (4349*t[6])/384 + (16313*t[7])/288 + (3215*t[8])/144 + 
       (42925*t[9])/576 + (1475*t[10])/144 + (4961*t[11])/1152 + 
       (233*t[12])/144 - (31439*t[13])/5184 + (38995*t[14])/1152 + 
       (30043*t[15])/5184 - t[19] - (11*t[20])/9 + t[21] - (19*t[23])/6 - 
       (43*t[24])/9 + (7*t[27])/9 - (109*t[28])/36 + (301*t[29])/48 + 
       (59*t[30])/72 + (7*t[31])/3 + (26*t[32])/3 - (493*t[33])/72 + 
       (7*t[34])/36 + 6*t[35] + 5*t[36] + (37*t[37])/36 - (7*t[38])/36 + 
       (23*t[39])/18 - (397*t[40])/144 - (35*t[41])/72 - t[42]/72 - 
       (29*t[43])/72 + (4085*t[44])/288 + (143*t[45])/36 + (43*t[46])/24 - 
       (4*t[47])/3 - (7603*t[48])/1152 - (595*t[49])/72 + 
       (28657*t[50])/1152 + (817*t[51])/288 - (9403*t[52])/384 + 
       (161*t[53])/24 + (14719*t[54])/1152 + (157*t[59])/72 + 
       (14273*t[60])/576 + (13535*t[61])/192 - (76381*t[62])/1152 - 
       (14699*t[63])/1152 - (8957*t[64])/384 + (57253*t[65])/1728 - 
       (41377*t[66])/1728 + (29*t[70])/18 - (29*t[71])/18 - (5*t[72])/9 + 
       (25*t[73])/4 + (7*t[74])/6 - (79*t[75])/12 + (157*t[76])/36 + 
       (29*t[77])/36 + (167*t[78])/18 - (37*t[79])/4 - (113*t[80])/9 + 
       (15*t[81])/4 - (377*t[82])/36 + (197*t[83])/9 + (12509*t[84])/576 + 
       (893*t[85])/64 + (1445*t[86])/36 + (11399*t[87])/576 + 
       (6893*t[88])/384 + (10303*t[89])/1152 - (29*t[95])/6 - (71*t[96])/18 - 
       t[97]/4 - (7*t[98])/3 + 4*t[99] - (221*t[100])/6) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      (4*t[1] + (275*t[2])/16 - (1121*t[3])/48 - (125*t[4])/32 + 
       (1039*t[5])/64 + (735*t[6])/32 - (2029*t[7])/48 + (5039*t[8])/48 - 
       (4099*t[9])/192 + (1099*t[10])/192 - (497*t[11])/48 - 
       (1265*t[12])/32 + (1747*t[13])/864 + (4471*t[14])/1152 + 
       (1493*t[15])/1152 + t[17]/4 - t[18]/2 + t[19]/2 - (13*t[20])/2 + 
       (5*t[21])/2 + 2*t[22] - 4*t[23] + (37*t[24])/6 + t[27]/4 + 4*t[28] - 
       (11*t[29])/24 + (19*t[30])/4 - (19*t[31])/6 + (71*t[32])/12 + 
       (47*t[33])/12 - (22*t[34])/3 + 3*t[35] - (25*t[36])/6 - (13*t[37])/3 + 
       (19*t[38])/24 + (67*t[39])/24 + (29*t[40])/24 + (7*t[41])/4 - t[42] + 
       (307*t[43])/96 - (121*t[44])/48 + (91*t[45])/6 + (15*t[46])/8 - 
       (385*t[47])/24 + (627*t[48])/32 + (637*t[49])/192 - (1451*t[50])/96 - 
       (191*t[51])/128 + (473*t[52])/32 - (733*t[53])/192 + (665*t[54])/48 - 
       t[55]/8 + t[56]/4 + t[57]/2 - (9*t[59])/8 + (2947*t[60])/96 + 
       (3937*t[61])/96 - (1031*t[62])/192 - (3207*t[63])/64 + 
       (8693*t[64])/192 - (8815*t[65])/288 - (1439*t[66])/32 - (13*t[68])/8 - 
       t[69]/2 + (5*t[70])/3 - (5*t[71])/3 + (7*t[72])/6 + (31*t[73])/6 + 
       11*t[74] - (11*t[75])/3 + (55*t[76])/8 + (4*t[77])/3 - 20*t[78] - 
       (5*t[79])/6 + (82*t[80])/3 - (5*t[81])/4 - (41*t[82])/3 - 
       (11*t[83])/6 + (281*t[84])/32 - (19*t[85])/96 + (27*t[86])/8 + 
       (835*t[87])/96 + (2899*t[88])/192 + (1175*t[89])/64 - t[90]/8 - 
       t[91]/24 - t[93]/2 - (8*t[95])/3 - (35*t[96])/12 + t[97]/12 + 
       14*t[98] - 28*t[99] - (73*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*((-3*t[2])/2 - 11*t[3] - 
       13*t[4] + (11*t[5])/2 + (17*t[6])/4 + 18*t[7] + 13*t[8] + 13*t[9] - 
       6*t[10] + (11*t[11])/4 + 24*t[12] - (137*t[13])/12 + 27*t[14] + 
       (11*t[15])/4 + 2*t[24] - 2*t[28] - 2*t[30] + 4*t[31] + 4*t[32] - 
       4*t[33] + 6*t[34] + 2*t[35] + 2*t[36] + 2*t[37] + 3*t[39] - 5*t[40] + 
       t[41] - t[42] + t[43] + 2*t[44] - 7*t[45] - t[46] + 5*t[47] - 
       (13*t[48])/4 + 5*t[49] - (25*t[50])/4 - (11*t[51])/4 + (41*t[52])/4 - 
       t[53] + (13*t[54])/4 - t[59]/2 + (35*t[60])/2 + (19*t[61])/2 - 
       9*t[62] + 11*t[63] + (19*t[64])/4 - (65*t[65])/2 - (31*t[66])/6 - 
       2*t[74] - 4*t[75] + 16*t[76] - 17*t[78] + 8*t[79] + 6*t[80] - 
       2*t[81] + 8*t[82] - 4*t[83] - 14*t[84] - t[85]/2 - 12*t[86] - 
       (27*t[87])/2 - (27*t[88])/4 - (75*t[89])/4 + 6*t[96] + 5*t[97] + 
       96*t[98] - 96*t[99] - 36*t[100]) + HPL[{0, 1}, 1 - u]*M1[w, u, v]*
      (-2*t[1] + (43*t[2])/8 - 20*t[3] + (7*t[4])/8 - (177*t[5])/16 + 
       (423*t[6])/32 - (7*t[7])/4 + (185*t[8])/8 + (25*t[9])/2 - 
       (79*t[10])/16 - (103*t[11])/32 + (19*t[12])/8 - (101*t[13])/36 + 
       (225*t[14])/16 + (139*t[15])/72 - t[24] + t[25] + t[28] - t[29] - 
       2*t[30] - t[31] + 5*t[32] - (3*t[33])/2 - t[34] - 2*t[35] + 2*t[36] + 
       t[37]/2 - t[38] - t[40]/4 - t[41]/4 + t[42]/4 - t[43]/4 + t[44]/2 + 
       5*t[45] + t[46]/2 - (9*t[47])/2 + (177*t[48])/32 - (77*t[49])/16 - 
       (35*t[50])/32 + (57*t[51])/32 + (3*t[52])/32 + (45*t[53])/16 + 
       (435*t[54])/32 + t[59]/2 + (515*t[60])/16 + (405*t[61])/16 - 
       (53*t[62])/32 - (579*t[63])/32 - (683*t[64])/32 + (193*t[65])/16 - 
       (511*t[66])/48 + t[70] - t[71] + 2*t[73] + t[74]/2 - 2*t[75] - 
       4*t[76] - t[77]/2 + (19*t[78])/2 - 12*t[80] + (15*t[81])/4 - 
       (19*t[82])/4 - 2*t[83] + (251*t[84])/16 + (33*t[85])/16 - 5*t[86] + 
       (87*t[87])/16 + (263*t[88])/32 + (305*t[89])/32 - 3*t[95] - 4*t[96] - 
       t[97] - 36*t[98] + 42*t[99] - 36*t[100]) + HPL[{0, 1}, 1 - w]*
      M1[w, u, v]*((37*t[2])/8 - (281*t[3])/16 - (23*t[4])/8 - 
       (181*t[5])/16 + (573*t[6])/32 - (87*t[7])/8 + (179*t[8])/4 + 
       (47*t[9])/8 - (33*t[10])/16 - (381*t[11])/32 - (27*t[12])/8 - 
       (55*t[13])/48 + (385*t[14])/48 + (415*t[15])/288 + t[25] + t[29]/4 - 
       t[31] + 3*t[32] + t[33]/2 - 2*t[36] - (3*t[37])/2 - t[38] - t[39] + 
       (3*t[40])/4 - t[41]/4 + t[42]/4 - t[43]/4 - (17*t[44])/8 + 4*t[45] + 
       t[46]/2 - (11*t[47])/2 + (279*t[48])/32 - (43*t[49])/16 - 
       (165*t[50])/32 + (39*t[51])/32 + (133*t[52])/32 - (5*t[53])/16 + 
       (529*t[54])/32 + (501*t[60])/16 + (273*t[61])/16 + (247*t[62])/32 - 
       (727*t[63])/32 - (175*t[64])/32 + (359*t[65])/48 - (167*t[66])/48 + 
       t[70] - t[71] + t[72] + 2*t[73] + (3*t[74])/2 - 2*t[75] - 5*t[76] + 
       t[77]/2 + (17*t[78])/2 + 4*t[79] + (13*t[81])/4 - (5*t[82])/4 - 
       2*t[83] + (203*t[84])/16 + (37*t[85])/16 - t[86] + (51*t[87])/16 + 
       (195*t[88])/32 + (339*t[89])/32 - 3*t[95] - 4*t[96] - t[97] - 
       36*t[98] + 42*t[99] - 36*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((-2*t[1])/3 + 
       (3241*t[2])/144 + (343*t[3])/72 + (121*t[4])/12 + (745*t[5])/48 + 
       (8681*t[6])/384 - (6433*t[7])/144 + (14675*t[8])/288 - 
       (7369*t[9])/192 - (5*t[10])/72 + (8165*t[11])/1152 - 
       (4627*t[12])/288 + (4069*t[13])/324 - (10379*t[14])/3456 + 
       (149843*t[15])/10368 + (5*t[20])/9 + t[22] + (2*t[24])/9 + t[25] + 
       (19*t[27])/18 + 2*t[28] + (7*t[29])/18 + (13*t[30])/4 - (5*t[31])/6 - 
       (299*t[32])/144 + (107*t[33])/18 - (40*t[34])/9 - 5*t[35] - 
       (41*t[36])/12 - (157*t[37])/36 - (5*t[38])/9 - (46*t[39])/9 + 
       (667*t[40])/144 - (163*t[41])/72 + (163*t[42])/72 - (19*t[43])/72 - 
       (61*t[44])/12 + (23*t[45])/3 + (41*t[46])/24 - (173*t[47])/12 + 
       (3559*t[48])/384 + (109*t[49])/36 - (8975*t[50])/1152 - 
       (103*t[51])/96 + (6095*t[52])/1152 - (293*t[53])/36 + 
       (5443*t[54])/1152 - (4*t[59])/9 + (4345*t[60])/576 + 
       (10091*t[61])/576 + (21341*t[62])/1152 - (8573*t[63])/1152 - 
       (7569*t[64])/128 + (3665*t[65])/576 - (7739*t[66])/1728 - t[69]/2 + 
       (19*t[70])/18 - (19*t[71])/18 + (41*t[73])/12 + (19*t[74])/6 - 
       (77*t[75])/12 - (241*t[76])/18 - (55*t[77])/36 + (217*t[78])/18 - 
       3*t[79] - (25*t[80])/6 - (53*t[81])/72 - (79*t[82])/72 + 
       (19*t[83])/18 + (1453*t[84])/192 - (1685*t[85])/576 - t[86]/3 + 
       (9049*t[87])/576 + (1617*t[88])/128 + (1153*t[89])/384 - 
       (19*t[95])/6 - (65*t[96])/9 - (7*t[97])/2 - (284*t[98])/3 + 
       115*t[99] - 35*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*(-t[1] + (35*t[2])/12 + 
       (109*t[3])/24 - (293*t[4])/24 + (1157*t[5])/48 + (117*t[6])/8 - 
       (247*t[7])/8 + (781*t[8])/24 - (851*t[9])/16 - (117*t[10])/16 - 
       (131*t[11])/24 + (223*t[12])/24 + (503*t[13])/144 + (391*t[14])/288 + 
       (1555*t[15])/96 + (2*t[20])/3 - t[22] - 6*t[28] - (89*t[29])/6 - 
       t[30]/6 + t[31] - (49*t[32])/4 + (59*t[33])/6 + 4*t[34] + 2*t[35] + 
       t[36] - t[37] - 2*t[38] - 3*t[40] - t[41]/2 + t[42]/2 - t[43]/2 + 
       (13*t[44])/3 - 7*t[45] - t[46]/2 + 4*t[47] + (9*t[48])/2 + 
       (77*t[49])/48 - (143*t[50])/12 - (209*t[51])/96 + (215*t[52])/12 - 
       (77*t[53])/48 + (145*t[54])/24 + (13*t[59])/6 - (1051*t[60])/24 + 
       (117*t[61])/8 + (1211*t[62])/48 + (2257*t[63])/48 + (1219*t[64])/48 + 
       (1627*t[65])/72 + (209*t[66])/8 + t[69] + 3*t[72] - 5*t[73] - 
       (4*t[74])/3 - 8*t[75] + (11*t[76])/2 - 4*t[78] + 6*t[79] + 7*t[80] + 
       (2*t[81])/3 + (7*t[82])/3 + (29*t[83])/2 - (83*t[84])/8 - 
       (119*t[85])/24 - 20*t[86] + (181*t[87])/8 + (407*t[88])/48 - 
       (233*t[89])/48 + (8*t[95])/3 + t[97] + 48*t[98] - 48*t[99] - 
       (69*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2*((3*t[1])/8 - (59*t[2])/24 - (637*t[3])/96 + 
       (341*t[4])/96 - (733*t[5])/96 + (829*t[6])/192 + (1717*t[7])/48 - 
       (37*t[8])/8 + (793*t[9])/24 + (73*t[10])/64 + (2681*t[11])/192 + 
       (771*t[12])/64 + (2635*t[13])/864 + (37363*t[14])/1152 + 
       (4669*t[15])/864 - (3*t[20])/4 - t[22]/2 - t[24] - (2*t[27])/3 - 
       4*t[28] + (27*t[29])/8 - (49*t[30])/12 + (13*t[31])/6 - 
       (77*t[32])/48 - (11*t[33])/8 + (11*t[34])/3 + (5*t[35])/2 + 
       (5*t[36])/12 - t[37]/12 - (3*t[38])/4 + (8*t[39])/3 - (8*t[40])/3 + 
       (2*t[41])/3 - (2*t[42])/3 + (3*t[43])/8 + (89*t[44])/24 - 
       (13*t[45])/2 - t[46]/4 + (71*t[47])/12 - (1009*t[48])/192 + 
       (1289*t[49])/192 + (129*t[50])/64 - (1465*t[51])/384 - (17*t[52])/64 - 
       (649*t[53])/192 + (13*t[54])/64 + (31*t[59])/16 + (53*t[60])/8 + 
       (124*t[61])/3 - (109*t[62])/6 + (2413*t[63])/96 - (205*t[64])/6 - 
       (1949*t[65])/96 - (563*t[66])/32 + t[69]/4 - (5*t[70])/6 + 
       (5*t[71])/6 + t[72]/6 + (43*t[73])/12 - (11*t[74])/6 - 
       (145*t[75])/12 + (37*t[76])/3 + (5*t[77])/6 - (85*t[78])/6 + 
       (23*t[79])/6 + 8*t[80] + (95*t[81])/48 + (85*t[82])/48 + 
       (121*t[83])/24 - (623*t[84])/96 + (151*t[85])/48 - 7*t[86] - 
       (463*t[87])/24 - (109*t[88])/8 - (195*t[89])/32 + (4*t[95])/3 + 
       (35*t[96])/6 + (41*t[97])/12 + 75*t[98] - 78*t[99] - (269*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-17*t[1])/24 - (89*t[2])/48 + (2047*t[3])/192 - (53*t[4])/12 - 
       (1499*t[5])/288 + (679*t[6])/576 - (55*t[7])/32 - (4133*t[8])/288 + 
       (2779*t[9])/288 - (343*t[10])/72 + (4489*t[11])/576 + (701*t[12])/72 + 
       (625*t[13])/64 + (991*t[14])/576 - (31541*t[15])/10368 + t[19] - 
       t[20] - t[21] + t[22]/2 + t[23]/2 - t[25]/2 + t[26]/2 - t[27]/2 + 
       (5*t[28])/9 - (233*t[29])/144 - (163*t[30])/72 + (7*t[31])/6 - 
       (281*t[32])/72 + t[33] + (251*t[34])/72 + t[35]/3 - (5*t[37])/2 - 
       (17*t[38])/12 + (9*t[39])/2 - (11*t[40])/2 - t[41]/8 + (3*t[42])/8 + 
       t[43]/4 + (139*t[44])/144 - (49*t[45])/12 + t[46]/2 + (41*t[47])/12 - 
       (6449*t[48])/576 - (55*t[49])/24 - (145*t[50])/64 - (3*t[51])/16 + 
       (417*t[52])/64 + (55*t[53])/24 - (1961*t[54])/576 + (53*t[59])/144 + 
       (413*t[60])/288 - (881*t[61])/288 + (5609*t[62])/576 + 
       (9731*t[63])/576 + (29*t[64])/64 - (4663*t[65])/432 - 
       (3749*t[66])/144 - t[70] + t[71] + t[72]/6 - (7*t[74])/9 + 
       (5*t[75])/3 + (79*t[76])/12 - t[77] - (28*t[78])/3 + (11*t[80])/2 + 
       (179*t[81])/36 + (7*t[82])/36 - (19*t[83])/18 - (275*t[84])/144 + 
       (661*t[85])/144 - (82*t[86])/9 - (33*t[87])/2 - (1897*t[88])/144 - 
       (7193*t[89])/576 + (14*t[95])/9 + t[96] + t[97]/12 + 34*t[98] - 
       28*t[99] - (100*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((-5*t[1])/6 + (3*t[2])/2 - 
       (207*t[3])/16 - (59*t[4])/6 - (823*t[5])/144 + (172*t[6])/9 - 
       (83*t[7])/12 + (881*t[8])/36 - (535*t[9])/144 - (535*t[10])/72 - 
       (643*t[11])/72 + (529*t[12])/144 - (167*t[13])/432 + (13*t[14])/16 + 
       (8957*t[15])/1296 - (4*t[24])/3 + (4*t[27])/3 + (37*t[28])/18 - 
       (187*t[29])/72 - (103*t[30])/72 + (5*t[31])/3 + (211*t[32])/72 + 
       (19*t[33])/24 - (43*t[34])/18 - (2*t[35])/3 + 4*t[36] - (2*t[37])/3 - 
       t[38] - (2*t[39])/3 - (7*t[40])/3 - t[41]/3 + t[42]/3 - t[43]/3 + 
       (575*t[44])/72 + (5*t[45])/6 + t[46] - (11*t[47])/6 + (385*t[48])/36 - 
       (59*t[49])/12 - t[50]/8 + (17*t[51])/24 + (91*t[52])/24 + 
       (9*t[53])/4 + (209*t[54])/18 + (25*t[59])/18 + (13*t[60])/9 + 
       (50*t[61])/9 + (271*t[62])/18 + (589*t[63])/72 - (13*t[64])/24 + 
       (8137*t[65])/216 + (503*t[66])/24 + (4*t[70])/3 - (4*t[71])/3 - 
       t[72] + (9*t[73])/2 - (16*t[74])/9 - (11*t[75])/6 + (7*t[76])/6 + 
       (2*t[77])/3 + 6*t[78] - t[79]/2 - (17*t[80])/3 + (67*t[81])/18 - 
       (49*t[82])/18 - (13*t[83])/18 + (395*t[84])/72 + (323*t[85])/72 - 
       (29*t[86])/18 + (235*t[87])/24 + (1685*t[88])/144 + (49*t[89])/9 - 
       (4*t[95])/9 - (16*t[96])/3 - (7*t[97])/6 + 8*t[99] - (100*t[100])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      (-t[1]/2 + (71*t[2])/12 + (163*t[3])/24 + (34*t[4])/3 + (16*t[5])/3 + 
       (83*t[6])/12 - (59*t[7])/12 + (149*t[8])/12 + (49*t[9])/6 + 
       (11*t[10])/6 + (53*t[11])/3 + 2*t[12] + (1807*t[13])/108 + 
       (775*t[14])/72 + (635*t[15])/432 - t[20] + (2*t[24])/3 - (2*t[27])/3 + 
       2*t[28] - (7*t[29])/6 - (2*t[30])/3 - (19*t[32])/6 + (5*t[33])/3 + 
       4*t[34] - 2*t[35] - t[36] - (2*t[37])/3 - (4*t[38])/3 + (10*t[39])/3 - 
       (29*t[40])/6 - t[41]/3 + t[42]/3 - t[43]/3 - (35*t[44])/12 - 
       (35*t[45])/6 + t[46]/2 + (9*t[47])/2 + t[48]/2 + 6*t[49] - 
       (15*t[50])/2 - (85*t[51])/24 + (67*t[52])/6 - (14*t[53])/3 - 
       (23*t[54])/4 + (7*t[59])/12 + (29*t[60])/12 + (16*t[61])/3 + 
       (41*t[62])/24 - (109*t[63])/24 - (59*t[64])/3 - (317*t[65])/36 - 
       (1333*t[66])/36 - t[69] - (2*t[70])/3 + (2*t[71])/3 + (7*t[72])/3 + 
       t[74] + t[75] + (59*t[76])/6 + (2*t[77])/3 - (26*t[78])/3 - 4*t[79] + 
       (16*t[80])/3 + (11*t[81])/2 - (25*t[82])/6 + (17*t[83])/6 - 
       (20*t[84])/3 + (4*t[85])/3 - 6*t[86] - (52*t[87])/3 - 12*t[88] - 
       (119*t[89])/24 + 2*t[95] + (8*t[96])/3 + (3*t[97])/2 + 56*t[98] - 
       52*t[99] - (65*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      Omega2[v, w, u]*(t[1] + (7*t[2])/6 + (173*t[3])/24 + (21*t[4])/4 + 
       (47*t[5])/8 - (45*t[6])/4 + (173*t[7])/6 - (64*t[8])/3 + (95*t[9])/8 - 
       (103*t[10])/24 + (323*t[11])/12 + (125*t[12])/12 + (161*t[13])/27 + 
       (1765*t[14])/144 + (1417*t[15])/216 - (2*t[20])/3 - (2*t[24])/3 - 
       (2*t[27])/3 - 2*t[28] - t[29]/6 + 2*t[30] + t[31] + t[32]/6 - 
       (10*t[33])/3 + t[34]/3 + 2*t[35] + t[36] - (2*t[37])/3 + t[38]/6 + 
       (17*t[39])/6 - (4*t[40])/3 + t[41]/6 - t[42]/6 + (2*t[43])/3 + 
       (25*t[44])/4 - 3*t[45] - t[46]/2 + 3*t[47] - (17*t[48])/2 + 
       (97*t[49])/24 + (17*t[50])/6 - (33*t[51])/16 - (23*t[52])/6 - 
       (17*t[53])/24 - (38*t[54])/3 + (5*t[59])/6 - (35*t[60])/6 + 
       (427*t[61])/12 - (83*t[62])/6 + (88*t[63])/3 - (233*t[64])/8 - 
       (62*t[65])/3 - (196*t[66])/9 - (2*t[70])/3 + (2*t[71])/3 - 3*t[74] - 
       3*t[75] + (29*t[76])/3 + t[77]/3 - (41*t[78])/3 + 4*t[79] + 7*t[80] - 
       (2*t[81])/3 + (11*t[82])/3 - (5*t[83])/3 - (49*t[84])/4 - 
       (103*t[85])/12 - 8*t[86] - (85*t[87])/12 - (55*t[88])/8 - 
       (67*t[89])/4 + 2*t[95] + (17*t[96])/3 + 3*t[97] + 56*t[98] - 
       52*t[99] - (65*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Omega2[v, w, u]*(-t[1] + (5*t[2])/2 - (31*t[3])/8 - 
       (17*t[4])/2 + (43*t[5])/12 + (35*t[6])/12 + (35*t[7])/4 + 
       (7*t[8])/12 + (13*t[9])/3 - (19*t[10])/12 + (71*t[11])/12 + 
       (89*t[12])/12 - (55*t[13])/24 + (409*t[14])/24 + (2611*t[15])/432 - 
       (8*t[28])/3 - t[29]/3 - (7*t[30])/3 + 2*t[31] - (13*t[32])/6 + 
       (17*t[34])/3 + 4*t[35] - 2*t[38] - 3*t[40] + (7*t[44])/6 - 7*t[45] + 
       5*t[47] - (5*t[48])/6 + (15*t[49])/4 + (7*t[50])/2 - (23*t[51])/8 + 
       (5*t[52])/2 - (15*t[53])/4 - (43*t[54])/12 + t[59]/3 - (31*t[60])/3 + 
       (53*t[61])/6 - (71*t[62])/12 + (487*t[63])/12 + (7*t[64])/2 - 
       (149*t[65])/36 + (35*t[66])/12 + 2*t[72] - (2*t[74])/3 - 4*t[75] + 
       7*t[76] - 4*t[78] + 6*t[80] + (4*t[81])/3 + (2*t[82])/3 + 
       (26*t[83])/3 - (85*t[84])/12 + (17*t[85])/12 + (16*t[86])/3 - 
       (61*t[87])/4 - (199*t[88])/24 - (55*t[89])/3 + (4*t[95])/3 + t[97] + 
       48*t[98] - 48*t[99] - 32*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*(t[1]/4 - (31*t[2])/12 - 
       (2783*t[3])/96 - (613*t[4])/24 - (1409*t[5])/48 + (115*t[6])/96 + 
       (1345*t[7])/48 - (463*t[8])/48 - (193*t[9])/48 - (1205*t[10])/48 - 
       (2027*t[11])/96 + (5*t[12])/16 - (20917*t[13])/864 - 
       (1579*t[14])/144 + (12875*t[15])/1728 + t[20] - (10*t[24])/3 + 
       (10*t[27])/3 - (7*t[28])/2 + (23*t[29])/24 - (31*t[30])/24 + 
       (3*t[31])/2 + (121*t[32])/12 - (101*t[33])/24 - (49*t[34])/4 - t[35] + 
       9*t[36] - (7*t[37])/6 + (29*t[38])/12 - (95*t[39])/12 + (55*t[40])/6 - 
       t[41]/3 + t[42]/3 + (5*t[43])/12 + (199*t[44])/12 + (191*t[45])/12 + 
       t[46]/2 - (55*t[47])/4 - (43*t[48])/32 - (349*t[49])/16 + 
       (813*t[50])/32 + (959*t[51])/96 - (3143*t[52])/96 + (775*t[53])/48 + 
       (525*t[54])/32 - t[59]/6 + (839*t[60])/48 + (1663*t[61])/48 - 
       (379*t[62])/96 + (839*t[63])/96 - (379*t[64])/96 + (887*t[65])/18 + 
       (2327*t[66])/36 + t[69] + (7*t[70])/3 - (7*t[71])/3 - (43*t[72])/6 + 
       (13*t[73])/2 - 3*t[74] - (29*t[75])/2 - (239*t[76])/12 - (4*t[77])/3 + 
       (79*t[78])/3 + (15*t[79])/2 - (115*t[80])/6 - (33*t[81])/4 + 
       (73*t[82])/12 + t[83]/3 + (173*t[84])/6 + (67*t[85])/12 + 
       (41*t[86])/2 + (1099*t[87])/24 + (547*t[88])/16 + (961*t[89])/96 - 
       8*t[95] - (65*t[96])/6 - (21*t[97])/4 - 124*t[98] + 138*t[99] - 
       (61*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (-t[1] + (5*t[2])/2 - (99*t[3])/8 - 14*t[4] - 8*t[5] + (26*t[6])/3 + 
       (139*t[7])/6 + (59*t[8])/4 + (151*t[9])/6 - 3*t[10] - (11*t[11])/3 + 
       (33*t[12])/4 - (601*t[13])/72 + (505*t[14])/18 + (289*t[15])/48 - 
       3*t[28] - t[29]/6 - (11*t[30])/3 + 2*t[31] + t[32]/6 - t[33] + 
       (25*t[34])/3 + 5*t[35] + t[36] - 2*t[38] - 3*t[40] + t[43]/2 - 
       (25*t[44])/12 - 7*t[45] + 5*t[47] - (16*t[48])/3 + (5*t[49])/2 + 
       (71*t[50])/12 - (9*t[51])/4 + t[52]/12 - (5*t[53])/2 + (31*t[54])/6 + 
       (2*t[59])/3 + (13*t[60])/2 + (61*t[61])/6 - (313*t[62])/24 + 
       (737*t[63])/24 - (35*t[64])/6 - 6*t[65] + (97*t[66])/9 + 2*t[72] - 
       t[74]/3 - 7*t[75] + 7*t[76] - t[77] - 5*t[78] + 8*t[80] - t[81]/3 + 
       (7*t[82])/3 + 12*t[83] - t[84]/6 + (47*t[85])/6 + 16*t[86] - 
       (173*t[87])/12 - (163*t[88])/24 - (35*t[89])/3 - (4*t[95])/3 + t[97] + 
       48*t[98] - 48*t[99] - 30*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((-13*t[1])/8 + 
       (203*t[2])/36 - (373*t[3])/96 + (117*t[4])/8 - (725*t[5])/48 + 
       (593*t[6])/384 + (361*t[7])/16 - (1211*t[8])/96 + (6863*t[9])/192 + 
       (17*t[10])/2 + (9383*t[11])/384 + (1811*t[12])/96 + 
       (15455*t[13])/864 + (4867*t[14])/128 + (9571*t[15])/3456 - t[17]/8 + 
       (29*t[20])/3 - 4*t[21] + (23*t[23])/6 - (47*t[24])/12 - (17*t[27])/6 + 
       t[28]/3 - (27*t[29])/8 + (41*t[30])/24 + 2*t[31] - (221*t[32])/48 - 
       (23*t[33])/24 + (46*t[34])/3 + (8*t[35])/3 + t[36]/12 - t[37]/6 - 
       2*t[38] + (31*t[39])/12 - (283*t[40])/48 - (55*t[41])/24 + 
       (31*t[42])/24 - (5*t[43])/4 - (125*t[44])/48 - (25*t[45])/2 - 
       (9*t[46])/8 + (97*t[47])/12 - (4153*t[48])/384 + (341*t[49])/48 + 
       (1009*t[50])/128 - (27*t[51])/8 - (401*t[52])/128 - (87*t[53])/16 - 
       (2287*t[54])/384 - 2*t[57] - (85*t[59])/72 + (4063*t[60])/192 + 
       (1627*t[61])/64 - (1063*t[62])/128 + (17701*t[63])/384 - 
       (22907*t[64])/384 - (2585*t[65])/192 - (16721*t[66])/576 + 
       (5*t[68])/8 - 2*t[69] + (4*t[70])/3 - (4*t[71])/3 + (4*t[72])/3 - 
       (28*t[73])/3 - (53*t[74])/12 + 11*t[75] + (95*t[76])/12 + 
       (7*t[77])/6 + (67*t[78])/24 - (19*t[79])/2 - t[80]/4 + (61*t[81])/8 - 
       t[82]/4 + (34*t[83])/3 - (919*t[84])/192 - (197*t[85])/64 - 
       (85*t[86])/6 - (1883*t[87])/64 - (8689*t[88])/384 - (1757*t[89])/128 + 
       (3*t[90])/8 + t[93] + (10*t[95])/3 + (25*t[96])/6 + (11*t[97])/6 + 
       42*t[98] - 14*t[99] - 30*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((-7*t[1])/8 - (7*t[2])/12 + 
       (20*t[3])/9 + (881*t[4])/144 - (99*t[5])/16 - (1439*t[6])/288 + 
       (337*t[7])/48 - (37*t[8])/4 + (647*t[9])/72 - (497*t[10])/288 + 
       (3413*t[11])/288 + (413*t[12])/288 + (277*t[13])/108 + 
       (7799*t[14])/1728 - (751*t[15])/2592 - (11*t[20])/18 - (5*t[23])/6 - 
       (5*t[24])/6 + t[25]/2 - t[26]/2 - (11*t[28])/9 + (79*t[29])/36 - 
       (19*t[30])/24 - t[31]/6 - (109*t[32])/72 - (169*t[33])/72 + 
       (41*t[34])/36 + (17*t[35])/3 + t[37]/2 - t[38]/4 + t[39]/2 + t[40] - 
       t[41]/8 + t[42]/8 - t[43]/4 - t[44]/12 + t[45]/4 - t[46]/2 - 
       (3*t[47])/4 - (1367*t[48])/288 + (289*t[49])/288 + (719*t[50])/288 - 
       (145*t[51])/576 - (1079*t[52])/288 - (289*t[53])/288 - 
       (1441*t[54])/288 - (5*t[59])/72 - t[60]/8 + (2065*t[61])/144 - 
       (5*t[62])/4 + (623*t[63])/36 - (2395*t[64])/288 - (83*t[65])/12 - 
       (1201*t[66])/72 + 2*t[69] - 2*t[70] + 2*t[71] + t[72] + (5*t[73])/12 - 
       (3*t[74])/2 - t[75]/12 + t[76]/4 - t[77] + (7*t[78])/4 - t[79] - 
       4*t[80] + (61*t[81])/24 - (31*t[82])/24 + (71*t[83])/36 + 
       (23*t[84])/9 + (85*t[85])/144 + (4*t[86])/9 - (19*t[87])/6 - 
       (19*t[88])/3 - (55*t[89])/6 + t[95] + t[96] - (3*t[97])/4 + 6*t[99] - 
       (89*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((-3*t[1])/8 - (45*t[2])/8 + (7*t[3])/4 - 
       (35*t[4])/6 - (5209*t[5])/288 + (2111*t[6])/288 + (271*t[7])/72 + 
       (2587*t[8])/144 + (1087*t[9])/96 - (1093*t[10])/144 - (517*t[11])/32 + 
       (1573*t[12])/288 - (49*t[13])/12 + (2575*t[14])/216 + 
       (19351*t[15])/5184 - t[19]/2 - t[20]/2 - t[21]/2 + t[22]/2 + t[23]/2 + 
       t[25] - t[26]/2 - (7*t[27])/2 - (95*t[28])/36 + (121*t[29])/48 - 
       (5*t[30])/12 - (7*t[31])/3 - (67*t[32])/12 + (7*t[33])/3 + 
       (3*t[34])/4 + (10*t[35])/3 - 3*t[36] - t[37]/2 - t[38]/2 + 
       (5*t[39])/12 + (5*t[40])/2 - (3*t[41])/8 + (3*t[42])/8 - (5*t[43])/4 - 
       (683*t[44])/144 - (5*t[45])/2 + (5*t[46])/4 + (13*t[47])/6 + 
       (1367*t[48])/288 + t[49]/4 - (2735*t[50])/288 + (45*t[51])/16 + 
       (2087*t[52])/288 - (3*t[53])/4 + (6143*t[54])/288 + t[59]/2 - 
       (187*t[60])/144 + (121*t[61])/16 + (2963*t[62])/144 + 
       (2969*t[63])/144 - (2759*t[64])/288 + (1481*t[65])/54 + 
       (1619*t[66])/54 - t[70] + t[71] - (17*t[72])/6 - (17*t[73])/12 - 
       t[74]/2 + t[75]/12 - t[76] - t[77]/2 + (31*t[78])/6 + (5*t[79])/12 + 
       t[80] + (25*t[81])/6 - t[82]/6 - (103*t[83])/36 + (17*t[84])/4 + 
       (4*t[85])/3 - (101*t[86])/36 - (2249*t[87])/144 - (3833*t[88])/288 + 
       (1325*t[89])/96 + t[95] + t[96] - t[97]/2 + 6*t[99] - (89*t[100])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((5*t[1])/4 - (89*t[2])/144 + (215*t[3])/144 + (241*t[4])/144 + 
       (19*t[5])/4 - (3313*t[6])/1152 + (367*t[7])/36 + (865*t[8])/288 - 
       (3643*t[9])/576 - (107*t[10])/288 + (15257*t[11])/1152 - 
       (127*t[12])/72 + (176*t[13])/81 + (283*t[14])/3456 + 
       (35015*t[15])/10368 - t[18] - (13*t[20])/9 + t[22] - (5*t[23])/6 - 
       (25*t[24])/18 - (5*t[27])/9 + (2*t[28])/9 + (3*t[29])/4 - t[30]/24 + 
       (85*t[32])/36 - (19*t[33])/72 - (40*t[34])/9 + (5*t[35])/2 + t[36] - 
       (35*t[37])/36 + (5*t[38])/36 + (55*t[39])/36 - (55*t[40])/144 + 
       (25*t[41])/72 - (25*t[42])/72 - (5*t[43])/72 + (17*t[44])/12 + 
       (5*t[45])/6 - (5*t[46])/24 - (5*t[47])/12 + (593*t[48])/1152 - 
       (13*t[49])/96 - (3*t[50])/128 + (85*t[51])/576 - (311*t[52])/384 + 
       (359*t[53])/288 - (521*t[54])/128 + 2*t[59] - (5911*t[60])/576 + 
       (5929*t[61])/192 - (20435*t[62])/1152 + (11683*t[63])/1152 + 
       (6655*t[64])/1152 - (4831*t[65])/576 - (14275*t[66])/1728 + t[69] + 
       (23*t[70])/18 - (23*t[71])/18 + (5*t[72])/6 - (5*t[73])/12 - 
       (5*t[74])/12 + (3*t[75])/4 + (2*t[76])/9 + t[77]/9 - (125*t[78])/36 - 
       (11*t[79])/4 + (10*t[80])/3 - (91*t[81])/72 - (23*t[82])/72 + 
       (49*t[83])/18 - (3185*t[84])/576 - (5141*t[85])/576 + (215*t[86])/36 - 
       (343*t[87])/576 + (419*t[88])/384 - (3487*t[89])/384 + (7*t[95])/6 + 
       (25*t[96])/18 + (5*t[97])/4 - t[98]/3 + 2*t[99] - (173*t[100])/6) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*(-t[1]/4 + (41*t[2])/8 - 
       (53*t[3])/4 - (29*t[4])/4 + (25*t[5])/32 - (573*t[6])/32 + 
       (73*t[7])/4 - (859*t[8])/16 - (153*t[9])/32 + (177*t[10])/16 + 
       (369*t[11])/32 + (369*t[12])/32 + (133*t[13])/24 + (131*t[14])/48 + 
       (2231*t[15])/576 + (5*t[17])/8 - (43*t[20])/2 - (5*t[24])/4 + 
       4*t[27] - 23*t[28] - (17*t[29])/4 + (31*t[30])/2 - 2*t[31] - 
       10*t[32] + (33*t[33])/4 - (11*t[34])/2 - 6*t[35] - t[38] - 
       (3*t[39])/4 - (5*t[40])/2 - (3*t[41])/4 + (3*t[42])/4 + 
       (107*t[44])/8 - (19*t[45])/2 + 2*t[46] + (13*t[47])/2 - 
       (801*t[48])/32 + (5*t[49])/8 + (179*t[50])/32 - (37*t[51])/16 - 
       (35*t[52])/32 - (5*t[53])/8 - (311*t[54])/32 - t[59] - (167*t[60])/8 + 
       (199*t[61])/16 - (1155*t[62])/32 + (1423*t[63])/32 + (591*t[64])/32 - 
       (115*t[65])/4 - (1985*t[66])/48 - (13*t[68])/8 - 14*t[72] + 9*t[73] + 
       3*t[74] - 47*t[75] + 9*t[76] + t[77] - (79*t[78])/8 + 7*t[79] + 
       (15*t[80])/4 - t[81] + (51*t[82])/8 + 33*t[83] - (79*t[84])/8 + 
       (229*t[85])/16 + 9*t[86] + (439*t[87])/16 + (439*t[88])/32 - 
       (161*t[89])/32 - (3*t[90])/8 - 2*t[93] + (3*t[97])/2 + 72*t[98] - 
       72*t[99] - 28*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((3*t[1])/4 - (5*t[2])/4 - (175*t[3])/8 + (133*t[4])/16 - 
       (151*t[5])/8 + (207*t[6])/32 + (133*t[7])/4 + (137*t[8])/8 + 
       (521*t[9])/16 + (397*t[10])/32 + (289*t[11])/32 + (221*t[12])/32 + 
       (149*t[13])/48 + (9569*t[14])/192 + (845*t[15])/144 - t[23] - 
       3*t[28] - (63*t[29])/4 + (17*t[30])/4 + 3*t[32] - 3*t[33] - 
       (5*t[34])/2 - 4*t[35] + (7*t[39])/2 - (5*t[40])/2 + (5*t[41])/4 - 
       (5*t[42])/4 + 19*t[44] - t[45] + 4*t[47] - (855*t[48])/32 + 
       (23*t[49])/32 + (237*t[50])/32 - (23*t[51])/64 - (221*t[52])/32 - 
       (7*t[53])/32 + (181*t[54])/32 + (5*t[59])/4 + (25*t[60])/2 + 
       (631*t[61])/8 - (99*t[62])/4 - (63*t[63])/8 - (335*t[64])/8 + 
       (105*t[65])/16 + (77*t[66])/48 + 2*t[72] + 9*t[73] - 47*t[75] + 
       (55*t[76])/4 + 3*t[77] - (57*t[78])/4 - t[79] + 6*t[80] - 
       (21*t[81])/8 - (71*t[82])/8 + (43*t[83])/2 + (15*t[84])/16 + 
       (55*t[85])/8 - 13*t[86] + (73*t[87])/8 + (73*t[88])/16 + 
       (163*t[89])/16 + (15*t[96])/4 + (5*t[97])/2 + 72*t[98] - 72*t[99] - 
       28*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*(-3*t[2] - (27*t[3])/2 + 9*t[4] - (95*t[5])/2 + 
       (19*t[6])/4 + 7*t[7] + 19*t[8] + 33*t[9] + (23*t[10])/2 + 
       (33*t[11])/4 + 4*t[12] - (25*t[13])/6 + (139*t[14])/6 - 
       (67*t[15])/36 + 6*t[29] - 6*t[30] - 2*t[31] + 4*t[35] - 4*t[36] + 
       3*t[40] - 7*t[44] + 2*t[46] - (3*t[48])/4 + (5*t[49])/2 + 
       (33*t[50])/4 + t[51]/4 - (33*t[52])/4 - (5*t[53])/2 + (39*t[54])/4 + 
       (11*t[60])/2 + (45*t[61])/2 - (271*t[62])/4 - (65*t[63])/4 + 
       (81*t[64])/4 - (49*t[65])/6 - (25*t[66])/2 + 2*t[72] - 6*t[76] - 
       8*t[79] + 4*t[81] - 16*t[82] + 22*t[83] + (11*t[84])/2 + 
       (11*t[85])/2 + 56*t[86] - (31*t[87])/2 - (31*t[88])/4 + (25*t[89])/4 - 
       16*t[99] - 28*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(-15*t[2] - 6*t[3] - 28*t[4] + 11*t[5] + 
       (7*t[6])/4 - 15*t[7] + 25*t[8] - (21*t[9])/2 - 7*t[10] - 
       (103*t[11])/4 + 12*t[12] - (106*t[13])/9 - (55*t[14])/4 - 
       (553*t[15])/36 - 4*t[20] + 4*t[22] - 2*t[29] - 22*t[30] - 4*t[31] + 
       4*t[36] + 4*t[37] + 2*t[41] - 2*t[42] - 2*t[43] - 15*t[44] - 2*t[46] + 
       4*t[47] + (21*t[48])/4 - 10*t[49] - (87*t[50])/4 + (7*t[51])/2 + 
       (87*t[52])/4 + 10*t[53] + (75*t[54])/4 - 2*t[59] + (29*t[60])/2 - 
       (55*t[61])/2 - (25*t[62])/4 - (167*t[63])/4 + (543*t[64])/4 - 
       t[65]/2 + (45*t[66])/2 - 4*t[69] + 4*t[72] + 4*t[75] - 6*t[76] + 
       8*t[79] - 4*t[80] - 2*t[81] + 6*t[82] - 22*t[83] + (21*t[84])/2 - 
       t[85]/2 + 16*t[86] - (27*t[87])/2 - (27*t[88])/4 + (43*t[89])/4 - 
       16*t[99] - 28*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*(-t[1]/2 + (7*t[2])/2 + (11*t[3])/2 + 
       (27*t[4])/8 + (565*t[5])/36 - (541*t[6])/72 - (154*t[7])/9 - 
       (455*t[8])/36 - (115*t[9])/6 - (25*t[10])/144 + (147*t[11])/8 + 
       (287*t[12])/144 + (575*t[13])/72 - (4631*t[14])/864 - 
       (2579*t[15])/1296 + t[19] - t[21] + t[22]/2 + t[23]/2 + t[25]/2 - 
       t[26]/2 - t[27]/2 - (2*t[28])/9 - (55*t[29])/12 - t[30] - t[31]/6 - 
       t[32]/2 - t[33] + (3*t[34])/2 + (11*t[35])/3 - t[38]/4 + t[39] - 
       (9*t[40])/4 + t[42]/4 - t[43]/4 - (47*t[44])/36 + (3*t[45])/2 - 
       t[46]/2 - (3*t[47])/2 - (13*t[48])/72 + (9*t[49])/16 - 
       (497*t[50])/72 + (3*t[51])/32 + (533*t[52])/72 - (9*t[53])/16 - 
       (151*t[54])/18 - (3*t[59])/4 + (823*t[60])/72 + (41*t[61])/24 - 
       (977*t[62])/72 - (1103*t[63])/72 + (3101*t[64])/144 - (599*t[65])/27 - 
       (10345*t[66])/216 + t[69] + (17*t[72])/6 + t[73] - (2*t[75])/3 + 
       (9*t[76])/4 + 2*t[78] - t[79] - (9*t[80])/2 + (11*t[81])/4 - 2*t[82] + 
       (20*t[83])/9 - (7*t[84])/6 - (101*t[85])/12 + (13*t[86])/9 - 
       (173*t[87])/36 - (173*t[88])/72 - (287*t[89])/16 - 6*t[98] + 6*t[99] - 
       (83*t[100])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((-179*t[2])/144 + (7*t[3])/72 - (35*t[4])/18 - 
       (131*t[5])/24 - (139*t[6])/144 + (235*t[7])/48 + (203*t[8])/48 + 
       (427*t[9])/144 + (119*t[10])/144 + (973*t[11])/144 + (451*t[12])/144 + 
       (277*t[13])/432 + (931*t[14])/216 + (9065*t[15])/2592 + (7*t[20])/18 + 
       (5*t[23])/6 + (5*t[24])/6 + t[25] - t[26]/2 + (7*t[28])/9 + 
       (71*t[29])/18 - (5*t[30])/12 - (4*t[31])/3 + (49*t[32])/36 - 
       (53*t[33])/36 - (65*t[34])/18 - (5*t[35])/2 - t[37]/2 - t[38]/2 + 
       (3*t[39])/4 - t[40]/4 - t[43]/4 + t[44]/2 + t[45]/2 + t[46]/2 - 
       t[47] + (461*t[48])/144 - (173*t[49])/72 + (331*t[50])/144 + 
       (137*t[51])/144 - (403*t[52])/144 + (137*t[53])/72 - (95*t[54])/144 + 
       (7*t[59])/9 - (155*t[60])/24 + (509*t[61])/18 - (103*t[62])/24 + 
       (2053*t[63])/72 + t[64]/36 + (109*t[65])/18 + (323*t[66])/72 + 
       2*t[72] + t[73]/6 + (5*t[74])/12 - (3*t[75])/2 - (3*t[76])/4 - 
       t[77]/2 + (7*t[78])/4 + (5*t[79])/12 + 2*t[80] + (17*t[81])/12 + 
       (7*t[82])/12 + (8*t[83])/9 - (22*t[84])/9 - (667*t[85])/72 - 
       (173*t[86])/36 - (4*t[87])/3 - (11*t[88])/12 - (99*t[89])/16 - 
       t[96]/2 + t[97]/4 - 6*t[98] + 6*t[99] - (83*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      (-t[1] - t[2]/12 - (83*t[3])/4 - (5*t[4])/4 - (35*t[5])/4 + 13*t[6] + 
       (27*t[7])/2 + (13*t[8])/4 + 33*t[9] + (27*t[10])/8 + t[11] + 
       (53*t[12])/8 - (73*t[13])/72 + (497*t[14])/16 + (29*t[15])/4 - t[23] - 
       t[24] - 2*t[28] + 3*t[29] - (11*t[30])/2 + 3*t[31] - t[32]/2 - 
       (3*t[33])/2 + 8*t[34] + 8*t[35] - 2*t[36] - 2*t[38] - 3*t[40] - 
       t[43] - t[44] - 7*t[45] + 5*t[47] + t[48]/2 + (39*t[49])/8 + 
       (13*t[50])/4 - (55*t[51])/16 + (11*t[52])/4 - (39*t[53])/8 + 
       (7*t[54])/2 + (4*t[59])/3 + (87*t[60])/4 + (13*t[61])/2 + 
       (55*t[62])/8 + (161*t[63])/8 - (103*t[64])/2 - (179*t[65])/12 - 
       (5*t[66])/12 + 2*t[69] - t[70] + t[71] + 2*t[72] + t[73] + t[74] + 
       3*t[75] + 7*t[76] + 2*t[77] - 2*t[78] - t[79] + 2*t[80] + 
       (5*t[81])/2 - t[82]/2 - (5*t[83])/2 + (5*t[84])/4 + (19*t[85])/2 - 
       15*t[86] - (141*t[87])/4 - (141*t[88])/8 - (101*t[89])/8 + t[97] + 
       48*t[98] - 48*t[99] - 27*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*((13*t[1])/4 - (49*t[2])/12 - 
       (265*t[3])/48 + (17*t[4])/12 - (2825*t[5])/96 - (13*t[6])/32 - 
       (351*t[7])/16 - (589*t[8])/16 + (1775*t[9])/96 + (173*t[10])/8 + 
       (9*t[11])/32 - (961*t[12])/96 + (15367*t[13])/864 + (71*t[14])/8 + 
       (16061*t[15])/1728 + (5*t[16])/6 - t[19] - t[20] - t[21] + t[22] + 
       t[23] - (4*t[24])/3 + (2*t[25])/3 + 2*t[26] + 4*t[27] + 8*t[28] - 
       (13*t[29])/6 + (7*t[30])/6 + 3*t[31] - (5*t[32])/3 - (7*t[34])/2 - 
       6*t[35] + (17*t[36])/3 + 2*t[37] + (13*t[38])/3 + 4*t[39] + 
       (11*t[40])/4 - (19*t[41])/12 + (19*t[42])/12 + (115*t[43])/24 + 
       t[44]/12 + (181*t[45])/24 + (13*t[46])/2 - (97*t[47])/12 - 
       (971*t[48])/96 - (275*t[49])/16 + (1049*t[50])/96 + (33*t[51])/8 - 
       (1321*t[52])/96 + (937*t[53])/48 + (1139*t[54])/96 - t[58]/3 - 
       (7*t[59])/12 - (85*t[60])/48 - (129*t[61])/16 + (3715*t[62])/96 + 
       (3157*t[63])/96 + (701*t[64])/96 - (253*t[65])/48 - (9545*t[66])/144 - 
       (20*t[68])/3 + t[69] - (10*t[70])/3 + (10*t[71])/3 + (10*t[72])/3 + 
       4*t[73] - 3*t[74] - t[75] - (17*t[76])/6 - (14*t[77])/3 + 
       (59*t[78])/6 - (29*t[79])/2 - (85*t[80])/6 + (28*t[81])/3 - 
       (71*t[82])/6 + (11*t[83])/6 + (511*t[84])/48 + (499*t[85])/48 - 
       (175*t[86])/4 - (527*t[87])/48 - (629*t[88])/32 + (431*t[89])/32 - 
       t[91]/12 + t[93] + 2*t[95] - (14*t[96])/3 - (35*t[97])/6 - 56*t[98] + 
       64*t[99] - (53*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((-3*t[1])/4 + (40*t[2])/3 + 
       (677*t[3])/48 + (29*t[4])/16 - (315*t[5])/16 - (3277*t[6])/96 + 
       (19*t[7])/48 + (67*t[8])/48 - (113*t[9])/48 + (277*t[10])/96 + 
       (1201*t[11])/32 + (839*t[12])/32 + (27701*t[13])/864 + (33*t[14])/64 - 
       (131*t[15])/864 + t[16]/6 - (3*t[17])/2 + (10*t[18])/3 + 2*t[19] - 
       (23*t[20])/3 + (22*t[21])/3 + 6*t[22] - 8*t[23] + t[24]/3 + 3*t[25] + 
       (13*t[26])/3 + (22*t[27])/3 - 2*t[28] + (55*t[29])/12 + (35*t[30])/6 - 
       4*t[32] - t[33]/3 - (19*t[34])/6 - (11*t[36])/3 - (8*t[37])/3 + 
       (4*t[38])/3 - (7*t[39])/3 + (55*t[40])/6 + (19*t[41])/12 - 
       (7*t[42])/12 - (163*t[43])/16 + (35*t[44])/8 - (73*t[45])/24 + 
       3*t[46] + (41*t[47])/4 - (519*t[48])/32 - (1115*t[49])/96 - 
       (51*t[50])/32 + (295*t[51])/64 - (349*t[52])/32 + (667*t[53])/96 - 
       (259*t[54])/32 + t[56]/2 - t[57] + t[58]/3 - (67*t[59])/12 - 
       (145*t[60])/12 + (125*t[61])/12 - (51*t[62])/2 - 50*t[63] + 
       (239*t[64])/8 + (2645*t[65])/36 - (1789*t[66])/18 - t[67]/6 + 
       (2*t[68])/3 - (26*t[70])/3 + (26*t[71])/3 + 6*t[72] + 6*t[73] - 
       (22*t[74])/3 - 14*t[75] - 4*t[76] - (31*t[77])/6 - (2*t[78])/3 + 
       12*t[79] - (13*t[80])/3 + (9*t[81])/2 - (13*t[82])/3 + (37*t[83])/3 + 
       (125*t[84])/12 + 6*t[85] + (62*t[86])/3 + (41*t[87])/3 + 4*t[88] + 
       (81*t[89])/8 - t[90]/3 + t[92]/3 + t[94]/3 - 2*t[95] - (10*t[96])/3 - 
       (7*t[97])/2 - 56*t[98] + 64*t[99] - (53*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-7*t[1])/3 + (107*t[2])/24 - (937*t[3])/96 - (27*t[4])/2 + 
       (13*t[5])/144 + (3097*t[6])/288 + (77*t[7])/48 + (1699*t[8])/144 + 
       (781*t[9])/144 + t[10]/72 - (185*t[11])/288 + (59*t[12])/9 - 
       (2975*t[13])/864 + (4141*t[14])/288 + (41011*t[15])/5184 + 
       (13*t[20])/6 + t[24]/3 + t[27]/3 + (10*t[28])/9 + (47*t[29])/36 + 
       (85*t[30])/72 + (19*t[31])/6 + (155*t[32])/72 - (59*t[33])/24 + 
       (419*t[34])/36 + (31*t[35])/3 - t[36] - t[37]/6 - (15*t[38])/4 - 
       (17*t[39])/12 - (29*t[40])/6 - t[41]/3 + t[42]/3 + (5*t[43])/12 + 
       (331*t[44])/72 - (34*t[45])/3 + (3*t[46])/4 + (43*t[47])/6 + 
       (1429*t[48])/288 + (61*t[49])/8 + (253*t[50])/32 - 5*t[51] + 
       (115*t[52])/32 - (223*t[53])/24 - (1079*t[54])/288 + (47*t[59])/72 - 
       (3613*t[60])/144 - (2435*t[61])/144 + (665*t[62])/288 + 
       (18527*t[63])/288 + (1633*t[64])/96 + (3671*t[65])/216 + 
       (1393*t[66])/72 + t[69] + t[70]/3 - t[71]/3 + (8*t[72])/3 + 
       (10*t[73])/3 - (29*t[74])/9 + (7*t[75])/3 + 10*t[76] + t[77]/3 - 
       (13*t[79])/3 + 11*t[80] + (61*t[81])/9 - (65*t[82])/18 + 
       (175*t[83])/18 - (857*t[84])/72 + (427*t[85])/72 + (157*t[86])/9 - 
       (367*t[87])/24 - (983*t[88])/144 - (7727*t[89])/288 + (31*t[95])/9 - 
       (17*t[96])/6 + t[97]/3 + 72*t[98] - 72*t[99] - (317*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (4*t[1] - (61*t[2])/4 - (53*t[3])/4 - (419*t[4])/24 - (895*t[5])/24 - 
       (121*t[6])/4 + (51*t[7])/4 - (183*t[8])/2 + (31*t[9])/24 + 
       (259*t[10])/16 - (43*t[11])/3 - (745*t[12])/48 - (3341*t[13])/72 - 
       (5941*t[14])/288 - (3085*t[15])/216 + (5*t[20])/3 - 2*t[22] - 
       (4*t[24])/3 - (14*t[25])/3 + t[26] + 4*t[28] - (19*t[29])/6 + 
       (56*t[30])/3 - (17*t[32])/3 + 7*t[33] - 3*t[34] - 4*t[35] + 
       (2*t[36])/3 - t[37]/3 + 5*t[38] - (2*t[39])/3 + (41*t[40])/6 + 
       (3*t[41])/2 - (3*t[42])/2 + t[43]/2 + (185*t[44])/12 + (26*t[45])/3 + 
       (13*t[46])/3 - 5*t[47] - (73*t[48])/6 + (81*t[49])/16 + 
       (227*t[50])/12 - (125*t[51])/32 - (89*t[52])/4 + (47*t[53])/16 - 
       (37*t[54])/8 - (29*t[59])/6 - (307*t[60])/4 + (61*t[61])/12 + 
       (355*t[62])/8 + (4411*t[63])/24 + (555*t[64])/8 + (194*t[65])/3 + 
       (4141*t[66])/36 + t[69] + (2*t[70])/3 - (2*t[71])/3 + 10*t[73] - 
       (35*t[74])/3 - 20*t[75] + (5*t[77])/3 - 11*t[78] + 16*t[79] - 
       (34*t[80])/3 + (31*t[81])/6 - (17*t[82])/6 + (91*t[83])/6 + 
       (101*t[84])/4 + (19*t[85])/2 - 16*t[86] + (143*t[87])/12 + 
       (21*t[88])/8 + (457*t[89])/24 + (34*t[95])/3 + (4*t[96])/3 - 
       (10*t[97])/3 - 16*t[98] + 20*t[99] - 26*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      (t[1] + (679*t[2])/48 - (1567*t[3])/48 + (97*t[4])/16 - (979*t[5])/32 + 
       (1869*t[6])/64 - (131*t[7])/6 + (3631*t[8])/48 + (41*t[9])/4 - 
       (923*t[10])/96 - (4583*t[11])/192 - (677*t[12])/48 - (341*t[13])/432 + 
       (661*t[14])/288 + (3173*t[15])/864 + (2*t[20])/3 + t[24]/6 + t[25]/2 + 
       (5*t[27])/3 - t[28]/2 + (17*t[29])/12 - t[31]/2 + (28*t[32])/3 - 
       (11*t[33])/12 - (23*t[34])/6 - t[35] - t[36] - (31*t[37])/12 + 
       (5*t[38])/6 - (29*t[39])/6 + (119*t[40])/24 - (25*t[41])/24 + 
       (25*t[42])/24 - t[43]/24 - (39*t[44])/8 + (25*t[45])/2 + (3*t[46])/4 - 
       (55*t[47])/4 + (963*t[48])/64 - (985*t[49])/96 - (43*t[50])/192 + 
       (343*t[51])/64 - (821*t[52])/192 + (473*t[53])/96 + (5171*t[54])/192 - 
       (13*t[59])/12 + (4883*t[60])/96 + (1417*t[61])/96 + (4327*t[62])/192 - 
       (13231*t[63])/192 - (2045*t[64])/64 + (3197*t[65])/96 + 
       (5549*t[66])/288 + (13*t[70])/6 - (13*t[71])/6 + 3*t[73] + 
       (11*t[74])/4 - 4*t[75] - (109*t[76])/6 + (11*t[77])/12 + 
       (323*t[78])/12 + 2*t[79] - 8*t[80] - (65*t[81])/24 - (79*t[82])/24 + 
       (11*t[83])/3 + (885*t[84])/32 + (653*t[85])/96 + (17*t[86])/2 + 
       (2651*t[87])/96 + (1529*t[88])/64 + (2003*t[89])/64 - (13*t[95])/2 - 
       (26*t[96])/3 - (7*t[97])/2 - 110*t[98] + 124*t[99] - 25*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((21*t[2])/4 + (263*t[3])/24 + (19*t[4])/4 + (851*t[5])/24 - 
       (377*t[6])/16 - (263*t[7])/24 - (1337*t[8])/24 - (253*t[9])/8 - 
       (41*t[10])/24 + (1807*t[11])/48 - (83*t[12])/24 + (1441*t[13])/72 - 
       (1669*t[14])/144 + (725*t[15])/216 - t[20]/2 + t[22] - 7*t[28] - 
       (33*t[29])/4 - (3*t[30])/2 + (8*t[31])/3 - (3*t[32])/4 + 
       (19*t[35])/3 - t[36] - t[37] - t[39] - 3*t[40] - t[41]/2 + t[42]/2 + 
       (13*t[43])/8 + (17*t[44])/4 + (13*t[45])/4 + t[46]/2 - (15*t[47])/2 - 
       (697*t[48])/48 + (5*t[49])/2 - t[50]/48 - (7*t[51])/8 + t[52]/48 - 
       t[53] - (449*t[54])/16 + (281*t[60])/24 - (5*t[61])/8 - 
       (329*t[62])/16 - (1321*t[63])/48 + (803*t[64])/48 - (313*t[65])/8 - 
       (6947*t[66])/72 - t[69]/2 + (11*t[72])/3 - (13*t[73])/3 - 2*t[75] + 
       7*t[76] - t[78] - (5*t[79])/3 + t[80] + (5*t[81])/2 - (11*t[82])/2 + 
       (301*t[83])/12 - (45*t[84])/8 - (27*t[85])/8 + (34*t[86])/3 + 
       (175*t[87])/24 + (175*t[88])/48 - (1429*t[89])/48 - (49*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((157*t[2])/144 - (65*t[3])/12 - (7*t[4])/12 + (643*t[5])/48 - 9*t[6] + 
       (115*t[7])/48 - (1073*t[8])/48 - (373*t[9])/24 - (183*t[10])/16 + 
       (311*t[11])/24 + (2*t[12])/3 + (433*t[13])/72 + (11*t[14])/6 - 
       (37*t[15])/27 + (4*t[18])/3 + (17*t[20])/6 - t[22] + (19*t[23])/6 + 
       (19*t[24])/6 - (19*t[28])/3 - (29*t[29])/3 + (7*t[30])/3 - 
       (25*t[31])/6 - (11*t[32])/4 + (7*t[33])/3 - (13*t[34])/6 - 
       (43*t[35])/6 + t[36] + t[37] + t[41]/2 - t[42]/2 - t[43]/2 - 
       (5*t[44])/2 - t[46]/2 + t[47] - (91*t[48])/12 - (7*t[49])/12 - 
       (11*t[50])/24 + (35*t[51])/48 + (11*t[52])/24 + (7*t[53])/12 - 
       (265*t[54])/24 - (107*t[59])/72 + (137*t[60])/12 + (185*t[61])/24 - 
       (17*t[62])/8 + (3*t[63])/8 + (1217*t[64])/48 - (56*t[65])/3 - 
       (139*t[66])/12 + t[67]/2 - t[69] + t[72] - (19*t[73])/2 - 
       (13*t[74])/12 - (7*t[75])/6 - (5*t[76])/2 - t[78] + (35*t[79])/12 - 
       t[80] + (5*t[81])/4 - t[82]/4 + (25*t[83])/2 - (3*t[84])/2 - 
       (35*t[85])/8 + (23*t[86])/12 + (3*t[87])/4 + (3*t[88])/8 + 
       (35*t[89])/6 - (49*t[100])/2) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*((-87*t[3])/4 - (119*t[5])/4 - 
       (41*t[6])/4 + (353*t[7])/4 - 47*t[8] + 31*t[9] + t[10]/2 + 
       (39*t[11])/4 - t[12]/4 - (49*t[13])/4 + (127*t[14])/6 + 
       (535*t[15])/36 - 26*t[28] - (27*t[29])/4 - 3*t[30] + (211*t[44])/4 - 
       50*t[48] + (161*t[50])/4 - (161*t[52])/4 - (41*t[54])/4 - 64*t[60] + 
       111*t[61] - (395*t[62])/8 + (907*t[63])/8 - 22*t[64] + 
       (431*t[65])/12 + (205*t[66])/12 + 48*t[73] - 120*t[75] + 6*t[79] + 
       26*t[83] + (33*t[84])/4 + (33*t[85])/4 - 2*t[86] + 64*t[87] + 
       32*t[88] - (39*t[89])/4 - 24*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*((25*t[2])/4 + (7*t[3])/2 + (13*t[4])/2 + 
       39*t[5] - t[6]/4 - 54*t[7] - (225*t[8])/4 - (125*t[9])/4 + 
       (25*t[10])/2 + (25*t[11])/4 - (19*t[12])/2 + (127*t[13])/3 + 
       (135*t[14])/8 - (181*t[15])/72 + 2*t[20] + 16*t[28] - 30*t[29] + 
       (3*t[30])/2 - (115*t[32])/2 + (95*t[33])/2 + 2*t[34] - 54*t[35] - 
       3*t[44] - t[48] + (5*t[49])/4 - (83*t[50])/4 - (5*t[51])/8 + 
       (83*t[52])/4 - (5*t[53])/4 + (7*t[54])/4 - (23*t[59])/2 - 3*t[60] - 
       (29*t[61])/4 - 27*t[62] - 118*t[63] + (683*t[64])/8 + (269*t[65])/12 - 
       (769*t[66])/4 - 3*t[67] - 12*t[69] + 6*t[70] - 6*t[71] + 48*t[73] + 
       21*t[74] - 120*t[75] + 21*t[79] + 3*t[81] - 3*t[82] + 35*t[83] + 
       (41*t[84])/4 + (43*t[85])/4 - 11*t[86] + (111*t[87])/2 + 
       (111*t[88])/4 + (93*t[89])/2 - 24*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w]*((21*t[2])/2 - 14*t[3] - 
       9*t[5] + 15*t[6] - 41*t[7] + 85*t[8] - 45*t[9] - 4*t[10] - 27*t[11] + 
       9*t[12] + (5*t[13])/6 + (20*t[14])/3 + 15*t[15] + 8*t[18] - 2*t[29] - 
       6*t[30] - 6*t[32] + 6*t[33] + 6*t[34] - 18*t[44] + 10*t[48] - 
       25*t[50] + 25*t[52] + 13*t[54] + 18*t[60] - 78*t[61] + 57*t[62] - 
       35*t[63] + (35*t[64])/2 + 50*t[65] + 33*t[66] + 4*t[67] - 8*t[69] - 
       8*t[70] + 12*t[71] - 24*t[74] + 9*t[84] + 9*t[85] + 12*t[87] + 
       6*t[88] + 49*t[89] - 24*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*(-3*t[3] + 20*t[4] - t[5] + 47*t[6] - 
       31*t[7] + 123*t[8] + 19*t[9] - 10*t[10] - 21*t[11] - 7*t[12] + 
       (44*t[13])/3 + (20*t[14])/3 - 15*t[15] + 30*t[29] - 6*t[30] - 
       13*t[44] + 18*t[48] + 8*t[49] - 21*t[50] - 4*t[51] + 21*t[52] - 
       8*t[53] + 29*t[54] + 6*t[60] + 22*t[61] + (77*t[62])/2 - 
       (139*t[63])/2 + 55*t[64] + (49*t[65])/3 - 3*t[66] + 12*t[81] - 
       12*t[82] + 11*t[84] + 25*t[85] - 8*t[87] - 4*t[88] + 53*t[89] - 
       24*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-177*t[3])/4 - (685*t[5])/8 + (101*t[6])/2 + 68*t[7] + (499*t[8])/4 + 
       (591*t[9])/8 + (11*t[10])/4 - (213*t[11])/4 - (11*t[12])/8 - 
       (153*t[13])/4 + (1885*t[14])/24 + (3295*t[15])/144 - 17*t[28] - 
       (3*t[29])/4 + 15*t[30] - 6*t[31] - 12*t[35] + 9*t[40] - (5*t[44])/4 - 
       (95*t[48])/4 + (61*t[50])/2 - (61*t[52])/2 + (101*t[54])/2 - 
       (119*t[60])/2 + 114*t[61] + (109*t[62])/8 + (1123*t[63])/8 - 
       106*t[64] + (943*t[65])/12 + (2437*t[66])/12 - 6*t[72] - 9*t[73] - 
       21*t[75] - 18*t[76] + 9*t[79] + 14*t[83] + (39*t[84])/4 + 
       (39*t[85])/4 - 11*t[86] + (35*t[87])/2 + (35*t[88])/4 + 
       (213*t[89])/4 - 24*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((73*t[2])/4 + 23*t[3] + (35*t[4])/4 + 
       (159*t[5])/2 + 14*t[6] - 102*t[7] - (111*t[8])/4 - (437*t[9])/4 - 
       (29*t[10])/8 + (31*t[11])/4 - (49*t[12])/8 + (227*t[13])/6 - 
       (961*t[14])/48 - (325*t[15])/18 - 4*t[20] + 6*t[23] + 6*t[24] - 
       8*t[28] - 47*t[29] - (57*t[30])/2 - 6*t[31] - (79*t[32])/2 + 
       (71*t[33])/2 - 4*t[34] - 30*t[35] - 24*t[44] - (79*t[48])/4 + 
       (19*t[49])/8 - (133*t[50])/2 - (19*t[51])/16 + (133*t[52])/2 - 
       (19*t[53])/8 + t[54]/4 - (13*t[59])/2 + (315*t[60])/4 - 
       (103*t[61])/2 - (189*t[62])/8 - (1451*t[63])/8 + 91*t[64] - 
       (279*t[65])/4 - (649*t[66])/4 - 9*t[73] + 9*t[74] - 21*t[75] - 
       18*t[76] + 9*t[79] + (9*t[81])/2 - (9*t[82])/2 + 14*t[83] + 
       (47*t[84])/4 + (29*t[85])/2 - 11*t[86] + (51*t[87])/4 + (51*t[88])/8 + 
       (471*t[89])/8 - 24*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((-3*t[1])/2 - 6*t[2] + (83*t[3])/2 + 13*t[4] + 
       (19*t[5])/4 - (285*t[6])/8 + 15*t[7] - (165*t[8])/2 - 14*t[9] - 
       11*t[10] + (221*t[11])/8 - (21*t[12])/4 + (271*t[13])/36 - 
       (649*t[14])/24 - (9*t[15])/2 - 4*t[19] + 4*t[20] + 4*t[21] - 2*t[22] - 
       2*t[23] + 2*t[27] + 6*t[29] + 6*t[30] - 13*t[32] + t[34] + 2*t[37] - 
       2*t[39] + 8*t[40] - t[41]/2 - t[42]/2 + 5*t[44] - 5*t[45] + 3*t[47] - 
       (139*t[48])/8 + 2*t[49] + (97*t[50])/8 - (3*t[51])/2 - (153*t[52])/8 - 
       2*t[53] - (269*t[54])/8 - t[59]/2 - (225*t[60])/4 + t[61]/4 + 
       (223*t[62])/8 + (601*t[63])/8 + (89*t[64])/8 - (25*t[65])/12 + 
       (27*t[66])/4 - 4*t[70] + 4*t[71] - 4*t[72] - 2*t[74] + 2*t[76] - 
       4*t[77] - t[78] + 2*t[80] + 2*t[82] - (53*t[84])/4 + (17*t[85])/4 - 
       4*t[86] + (19*t[87])/4 - (133*t[88])/8 - (135*t[89])/8 + 4*t[95] + 
       4*t[96] - 3*t[97] + 24*t[98] - 24*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-3*t[1])/2 - 12*t[2] + (181*t[3])/4 + (35*t[4])/2 + (109*t[5])/4 - 
       (177*t[6])/8 - (35*t[7])/2 - 63*t[8] - (99*t[9])/2 - (53*t[10])/4 + 
       (125*t[11])/8 - (31*t[12])/2 + (557*t[13])/36 - (113*t[14])/3 - 
       (3*t[15])/8 - 2*t[19] - 2*t[20] - 2*t[21] + 2*t[22] + 2*t[23] - 
       4*t[27] + 3*t[29] + 6*t[30] - 15*t[32] + 2*t[33] + 3*t[34] - 4*t[39] + 
       6*t[40] - (3*t[41])/2 + (3*t[42])/2 + t[43] - (15*t[44])/2 - 2*t[45] - 
       (79*t[48])/8 + (29*t[49])/4 - (35*t[50])/8 - (33*t[51])/8 - 
       (21*t[52])/8 - (29*t[53])/4 - (153*t[54])/8 + t[59]/2 - 
       (243*t[60])/4 - (83*t[61])/4 + (209*t[62])/8 + (359*t[63])/8 + 
       (421*t[64])/8 - (299*t[65])/12 - (17*t[66])/4 - 4*t[70] + 4*t[71] - 
       10*t[72] - 2*t[74] + 3*t[76] - 5*t[78] - 4*t[80] - t[81] - t[82] - 
       (59*t[84])/4 - (21*t[85])/4 + 8*t[86] + (45*t[87])/4 - (107*t[88])/8 - 
       (97*t[89])/8 + 4*t[95] + 6*t[96] - 3*t[97] + 24*t[98] - 24*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-15*t[1])/4 + (141*t[2])/8 + (867*t[3])/8 - (3*t[4])/8 + 
       (1057*t[5])/16 - (1109*t[6])/32 - (217*t[7])/4 - (483*t[8])/8 - 
       (283*t[9])/8 - (289*t[10])/16 + (829*t[11])/32 + (15*t[12])/8 + 
       (224*t[13])/9 - (1087*t[14])/24 - (829*t[15])/72 - 3*t[18] - 9*t[20] + 
       3*t[22] + 4*t[24] - t[27] + 15*t[28] + (33*t[29])/2 - 7*t[30] - 
       (65*t[32])/2 + (11*t[33])/2 + (27*t[34])/2 - 16*t[35] - 3*t[36] - 
       (5*t[37])/2 - (7*t[38])/2 + t[39]/2 + (7*t[40])/4 - 2*t[41] + 
       2*t[42] + (7*t[43])/4 - (91*t[44])/4 - (37*t[45])/2 - (3*t[46])/2 + 
       9*t[47] - (171*t[48])/32 + (217*t[49])/16 - (591*t[50])/32 - 
       (237*t[51])/32 + (671*t[52])/32 - (185*t[53])/16 - (1153*t[54])/32 - 
       (27*t[59])/4 - (1841*t[60])/16 - (1147*t[61])/16 + (1279*t[62])/32 + 
       (1801*t[63])/32 + (2789*t[64])/32 + (161*t[65])/16 - (2087*t[66])/48 - 
       2*t[67] - 12*t[69] + 2*t[70] - 2*t[71] + 5*t[72] + 18*t[73] + 
       (15*t[74])/2 - 19*t[75] + 11*t[76] - (19*t[77])/2 - 28*t[78] + 
       11*t[79] + 26*t[80] - (5*t[81])/4 + (61*t[82])/4 - (77*t[83])/2 - 
       (585*t[84])/16 - (119*t[85])/16 + 16*t[86] - (465*t[87])/16 - 
       (1537*t[88])/32 - (1867*t[89])/32 + 15*t[95] + 10*t[96] - 
       (3*t[97])/2 + 84*t[98] - 78*t[99] - 24*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((3*t[1])/4 - (229*t[2])/8 + (1409*t[3])/16 + (367*t[4])/8 + 
       (441*t[5])/16 - (2039*t[6])/32 + (303*t[7])/8 - (337*t[8])/2 - 
       (41*t[9])/4 + (137*t[10])/16 + (2631*t[11])/32 + (17*t[12])/8 + 
       (6553*t[13])/144 - (601*t[14])/12 - (5749*t[15])/288 - t[20] - 
       4*t[24] - 4*t[27] + 5*t[28] + (83*t[29])/4 - 12*t[30] - (49*t[32])/2 - 
       t[33]/2 - (17*t[34])/2 - 3*t[35] + 3*t[36] + t[37]/2 + t[38] + 
       5*t[39] + (19*t[40])/4 + t[41] - t[42] - (5*t[43])/4 + (37*t[44])/8 - 
       (15*t[45])/2 - (3*t[46])/2 + 15*t[47] - (213*t[48])/32 + 
       (147*t[49])/16 - (113*t[50])/32 - (143*t[51])/32 - (319*t[52])/32 - 
       (43*t[53])/16 - (1795*t[54])/32 + 5*t[59] - (1223*t[60])/16 + 
       (257*t[61])/16 - (1133*t[62])/32 + (1549*t[63])/32 + (697*t[64])/32 - 
       (1553*t[65])/48 - (1197*t[66])/16 - 7*t[70] + 7*t[71] - 6*t[72] + 
       18*t[73] - (9*t[74])/2 - 10*t[75] + 13*t[76] + t[77]/2 - 
       (47*t[78])/2 - 7*t[79] + 6*t[80] + (3*t[81])/4 + (3*t[82])/4 - 
       54*t[83] - (601*t[84])/16 - (451*t[85])/16 - 4*t[86] - 
       (709*t[87])/16 - (1781*t[88])/32 - (657*t[89])/32 + 15*t[95] + 
       19*t[96] + 3*t[97] + 84*t[98] - 78*t[99] - 24*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-t[1] + (5*t[2])/2 - 2*t[3] - 18*t[4] + (67*t[5])/8 - (23*t[6])/8 + 
       (27*t[7])/2 - (27*t[8])/4 + (69*t[9])/8 - (21*t[10])/4 + 
       (33*t[11])/8 + (73*t[12])/8 - (169*t[13])/36 + (17*t[14])/2 + 
       (283*t[15])/144 - t[28] - (5*t[29])/4 - 4*t[30] + 3*t[31] + 2*t[32] - 
       2*t[33] + 8*t[34] + 8*t[35] + 2*t[36] - 2*t[38] - (9*t[40])/2 + 
       t[43] + (5*t[44])/4 - 7*t[45] + 5*t[47] - (27*t[48])/8 + 2*t[49] + 
       (19*t[50])/8 - 2*t[51] + (29*t[52])/8 - 2*t[53] - (39*t[54])/8 + 
       t[59]/2 + (17*t[60])/4 - (51*t[61])/4 - (69*t[62])/4 + (69*t[63])/4 + 
       (221*t[64])/8 - (71*t[65])/6 - (65*t[66])/6 + 3*t[72] + t[73] - 
       2*t[74] - t[75] + 10*t[76] - 2*t[77] - 6*t[78] - t[79] + 10*t[80] - 
       t[81] + 3*t[82] + 10*t[83] - (11*t[84])/2 + (7*t[85])/2 + 27*t[86] - 
       (17*t[87])/4 - (17*t[88])/8 - (181*t[89])/8 + t[97] + 48*t[98] - 
       48*t[99] - 24*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      Omega2[w, u, v]*(-t[1] - t[2]/6 - (39*t[3])/8 - (59*t[4])/4 - 7*t[5] + 
       (41*t[6])/8 + 25*t[7] + (17*t[8])/2 + (93*t[9])/4 - (27*t[10])/8 - 
       (15*t[11])/8 + (79*t[12])/8 - (745*t[13])/72 + (887*t[14])/48 + 
       (601*t[15])/144 - t[23] - t[24] - 5*t[28] + 3*t[29] - (9*t[30])/2 + 
       3*t[31] + 2*t[32] - (9*t[33])/2 + 7*t[34] + 9*t[35] + t[36] - 
       2*t[38] - 3*t[40] + t[43]/2 + 3*t[44] - 7*t[45] + 5*t[47] - 
       (15*t[48])/8 + (21*t[49])/8 + (57*t[50])/8 - (37*t[51])/16 - 
       (9*t[52])/8 - (21*t[53])/8 + (15*t[54])/8 + (17*t[59])/12 - 7*t[60] + 
       3*t[61] - (57*t[62])/4 + (161*t[63])/4 - (5*t[64])/4 - (11*t[65])/6 + 
       (64*t[66])/3 + 2*t[72] + t[73] - 2*t[74] - 2*t[75] + 7*t[76] - t[77] - 
       5*t[78] - t[79] + 8*t[80] - t[81]/2 + (5*t[82])/2 + 9*t[83] - 
       (9*t[84])/2 + (21*t[85])/4 + 23*t[86] - (67*t[87])/4 - (67*t[88])/8 - 
       (83*t[89])/4 + t[97] + 48*t[98] - 48*t[99] - 24*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((5*t[1])/12 - (119*t[2])/72 - (1121*t[3])/192 + (469*t[4])/72 + 
       (83*t[5])/72 - (625*t[6])/128 + (449*t[7])/288 - (31*t[8])/144 + 
       (4477*t[9])/576 + (319*t[10])/72 + (19361*t[11])/1152 + 
       (115*t[12])/72 + (11641*t[13])/5184 + (14231*t[14])/1152 + 
       (6211*t[15])/5184 + t[18] + (10*t[20])/9 - t[22] + (5*t[23])/6 + 
       (5*t[24])/9 - (5*t[27])/9 - (13*t[28])/36 + (29*t[29])/48 + 
       (197*t[30])/72 - (5*t[31])/3 + (9*t[32])/4 - (259*t[33])/72 - 
       (17*t[34])/36 - t[35] - t[36] + (25*t[37])/36 + (5*t[38])/36 + 
       (17*t[39])/18 - (61*t[40])/144 + (25*t[41])/72 - (25*t[42])/72 - 
       (5*t[43])/72 - (1123*t[44])/288 + (29*t[45])/36 - (5*t[46])/24 + 
       t[47]/6 + (1421*t[48])/1152 + (289*t[49])/144 + (1057*t[50])/1152 - 
       (91*t[51])/144 - (153*t[52])/128 - (43*t[53])/48 - (4961*t[54])/1152 + 
       (49*t[59])/72 + (7769*t[60])/576 + (1925*t[61])/64 - 
       (27877*t[62])/1152 + (925*t[63])/1152 - (95*t[64])/128 - 
       (27539*t[65])/1728 - (39673*t[66])/1728 - t[69] - (13*t[70])/18 + 
       (13*t[71])/18 + (10*t[72])/9 - (5*t[73])/4 - t[74]/3 - t[75]/12 + 
       (19*t[76])/36 + (5*t[77])/36 + (22*t[78])/9 + t[79]/4 + t[80]/9 + 
       2*t[81] - (32*t[82])/9 + (17*t[83])/9 - (1819*t[84])/576 - 
       (2057*t[85])/192 + (83*t[86])/36 - (4033*t[87])/576 - 
       (811*t[88])/384 - (4649*t[89])/1152 + (7*t[95])/6 + (25*t[96])/18 + 
       (5*t[97])/4 + (5*t[98])/3 - (143*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-7*t[2])/32 - (1265*t[3])/288 - (743*t[4])/288 - (8249*t[5])/576 - 
       (123*t[6])/32 + (5291*t[7])/144 - (1025*t[8])/36 + (10165*t[9])/576 + 
       (115*t[10])/576 + (1745*t[11])/288 + (55*t[12])/32 - 
       (5263*t[13])/864 + (96635*t[14])/3456 + (42751*t[15])/10368 - 
       (5*t[20])/18 - t[23]/3 - t[24]/3 - (761*t[28])/72 - (2863*t[29])/288 - 
       (143*t[30])/48 - t[31]/4 - (1037*t[32])/144 + (361*t[33])/144 + 
       (8*t[34])/9 - (11*t[35])/4 + (7*t[40])/8 + (2123*t[44])/288 - 
       (611*t[48])/32 - (823*t[49])/576 + (1151*t[50])/96 + 
       (823*t[51])/1152 - (1151*t[52])/96 + (823*t[53])/576 - 
       (107*t[54])/72 + (119*t[59])/144 + (2185*t[60])/288 + 
       (6625*t[61])/144 - (2693*t[62])/72 + (1373*t[63])/72 - 
       (1075*t[64])/32 - (8807*t[65])/432 - (4421*t[66])/432 - 2*t[69] + 
       t[70] - t[71] - (7*t[72])/12 - (5*t[73])/2 + (83*t[74])/24 - 
       19*t[75] - (13*t[76])/4 + (35*t[79])/12 - (29*t[81])/16 + 
       (29*t[82])/16 + (323*t[83])/18 + (1121*t[84])/144 + (1619*t[85])/288 + 
       (317*t[86])/36 - (2743*t[87])/288 - (1543*t[88])/576 - 
       (243*t[89])/64 - (20*t[95])/3 - (70*t[100])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^3*((-7*t[1])/24 + (427*t[2])/48 - 
       (3409*t[3])/96 - (521*t[4])/96 - (1091*t[5])/64 + (2839*t[6])/192 + 
       (237*t[7])/16 + (221*t[8])/8 + (2551*t[9])/64 + (581*t[10])/192 - 
       (1409*t[11])/192 + (179*t[12])/96 + (365*t[13])/432 + 
       (8045*t[14])/384 + (2935*t[15])/1152 + (3*t[17])/8 + t[18]/2 + t[19] + 
       (5*t[20])/3 - t[21] - 3*t[22] + t[23]/3 - (13*t[24])/12 + 
       (7*t[27])/6 - (5*t[28])/3 - (2*t[29])/3 - (16*t[30])/3 - (3*t[31])/2 + 
       (215*t[32])/24 - (11*t[33])/2 + (8*t[34])/3 + t[35] + 2*t[36] + 
       t[37]/12 - (7*t[38])/12 + (25*t[39])/12 - (15*t[40])/4 + t[41]/3 - 
       t[42]/12 - (29*t[43])/32 - (2*t[44])/3 + (119*t[45])/24 + 
       (5*t[46])/4 - (17*t[47])/3 + (17*t[48])/192 - (961*t[49])/192 + 
       (1493*t[50])/192 + (199*t[51])/128 - (853*t[52])/192 + 
       (235*t[53])/64 + (927*t[54])/64 - t[55]/24 - t[56]/4 - t[57]/2 - 
       t[59]/3 + (1753*t[60])/48 + (803*t[61])/48 - (191*t[62])/24 - 
       (417*t[63])/16 - (683*t[64])/32 + (775*t[65])/72 - (497*t[66])/24 - 
       (7*t[68])/6 + (5*t[70])/6 - (5*t[71])/6 + (2*t[72])/3 + (5*t[73])/3 + 
       t[74] - (11*t[75])/3 + (35*t[76])/24 - (4*t[77])/3 + (137*t[78])/24 - 
       (2*t[79])/3 - (101*t[80])/12 + (11*t[81])/2 - (13*t[82])/6 + 
       (17*t[83])/4 + (237*t[84])/16 + (77*t[85])/16 - (89*t[86])/24 + 
       (319*t[87])/48 + (325*t[88])/32 + (209*t[89])/24 - t[90]/12 - 
       t[91]/72 + t[93]/6 - (10*t[95])/3 - (10*t[96])/3 - 20*t[98] + 
       29*t[99] - (70*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*(-t[1]/2 + (9*t[2])/4 - 
       (1777*t[3])/144 - (337*t[4])/144 - (43*t[5])/2 + (2293*t[6])/288 + 
       (1061*t[7])/48 + (215*t[8])/24 + (4273*t[9])/144 + (709*t[10])/288 + 
       (797*t[11])/288 + (413*t[12])/288 + (25*t[13])/54 + 
       (32297*t[14])/1728 + (1229*t[15])/2592 - (7*t[20])/9 - (11*t[23])/6 - 
       (13*t[24])/6 + t[27]/3 - (25*t[28])/18 - (11*t[29])/9 - (29*t[30])/8 + 
       (11*t[31])/6 + (155*t[32])/72 - (109*t[33])/72 + (91*t[34])/18 + 
       (17*t[35])/3 + t[36] - t[37]/6 - (5*t[38])/6 + (5*t[39])/6 - 
       (7*t[40])/3 - t[41]/12 + t[42]/12 + t[43]/6 + (25*t[44])/12 - 
       (4*t[45])/3 + (3*t[46])/4 + (3*t[47])/2 - (2111*t[48])/288 - 
       (173*t[49])/288 + (2027*t[50])/288 - (31*t[51])/576 - 
       (1259*t[52])/288 - (19*t[53])/288 + (1331*t[54])/288 + (13*t[59])/18 + 
       (131*t[60])/8 + (2431*t[61])/144 - (493*t[62])/16 - (799*t[63])/144 - 
       (1873*t[64])/288 - (8*t[65])/3 - (69*t[66])/4 - t[69] + t[70]/3 - 
       t[71]/3 + (5*t[72])/6 - t[73]/12 - t[74]/3 - (19*t[75])/12 + 
       (4*t[76])/3 + t[77]/6 + (5*t[78])/6 - (13*t[79])/2 + (4*t[80])/3 + 
       (35*t[81])/24 - (33*t[82])/8 + (467*t[83])/36 + (127*t[84])/18 + 
       (1339*t[85])/144 + (437*t[86])/18 - 8*t[87] - (11*t[88])/12 - 
       (8*t[89])/3 - (7*t[95])/3 - (4*t[96])/3 + 8*t[98] - 8*t[99] - 
       (68*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(t[1] - (35*t[2])/6 - (847*t[3])/48 - (13*t[4])/8 - 
       (6301*t[5])/288 + (5117*t[6])/288 + (569*t[7])/36 + (6061*t[8])/144 + 
       (581*t[9])/32 + (361*t[10])/72 - (531*t[11])/32 + (1435*t[12])/288 - 
       (7435*t[13])/432 + (23047*t[14])/864 + (29257*t[15])/5184 - 
       (2*t[20])/3 + t[22]/2 + t[24]/3 + t[27]/3 - (137*t[28])/36 + 
       (155*t[29])/48 + (7*t[30])/6 - (5*t[31])/6 - (2*t[32])/3 + 
       (11*t[33])/12 - (11*t[34])/6 - (31*t[35])/6 - t[36] + t[37]/3 + 
       (2*t[38])/3 + t[39]/3 + (8*t[40])/3 + (2*t[41])/3 - (2*t[42])/3 - 
       t[43]/3 - (185*t[44])/144 + (3*t[45])/2 - t[46]/4 - (3*t[47])/2 + 
       (869*t[48])/288 - (25*t[49])/48 + (595*t[50])/288 - (3*t[51])/32 - 
       (883*t[52])/288 + (89*t[53])/48 + (6221*t[54])/288 + t[59] + 
       (83*t[60])/144 + (2189*t[61])/48 + (239*t[62])/144 + 
       (3281*t[63])/144 - (8633*t[64])/288 + (265*t[65])/108 + 
       (5821*t[66])/108 - t[69] + t[70]/3 - t[71]/3 - (4*t[72])/3 - 
       (11*t[73])/12 + (5*t[74])/3 - (83*t[75])/12 - (10*t[76])/3 + 
       (5*t[77])/6 - (37*t[78])/6 + (95*t[79])/12 - (7*t[80])/2 - 
       (15*t[81])/4 + (15*t[82])/4 - (175*t[83])/36 + (7*t[84])/2 + 
       (7*t[85])/24 - (611*t[86])/36 - (689*t[87])/144 + (127*t[88])/288 + 
       (1439*t[89])/96 - (7*t[95])/3 + (5*t[96])/3 + (3*t[97])/2 + 8*t[98] - 
       8*t[99] - (68*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 
       1 - v]*((-137*t[3])/8 - 22*t[5] + (103*t[6])/16 + 36*t[7] + 
       (35*t[8])/4 + (215*t[9])/8 - (3*t[10])/2 - (79*t[11])/16 + 
       (3*t[12])/4 - (95*t[13])/12 + (467*t[14])/16 + (455*t[15])/72 - 
       t[20]/2 - 10*t[28] - (23*t[29])/4 + (5*t[30])/2 + (3*t[32])/4 - 
       t[35] + 7*t[44] - (327*t[48])/16 + (229*t[50])/16 - (229*t[52])/16 + 
       (103*t[54])/16 - (107*t[60])/8 + (413*t[61])/8 - (191*t[62])/16 + 
       (519*t[63])/16 - (405*t[64])/16 + (451*t[65])/24 + (565*t[66])/24 - 
       t[69]/2 - 3*t[73] - 13*t[75] + 3*t[79] + (67*t[83])/4 + (47*t[84])/8 + 
       (47*t[85])/8 + 6*t[86] + (151*t[87])/8 + (151*t[88])/16 + 
       (87*t[89])/16 - (45*t[100])/2) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*((17*t[2])/4 - (71*t[3])/8 + (33*t[4])/8 + 
       (75*t[5])/16 - (31*t[6])/16 - (47*t[7])/8 - (131*t[8])/8 - 
       (177*t[9])/16 + (3*t[10])/16 + (157*t[11])/16 + (3*t[12])/8 + 
       (34*t[13])/3 + (265*t[14])/32 + (47*t[15])/288 - (7*t[20])/2 - 
       7*t[28] - (25*t[29])/2 + 4*t[30] - (71*t[32])/4 + (29*t[33])/2 - 
       (3*t[34])/2 - 7*t[35] + (9*t[44])/4 - (181*t[48])/16 + (3*t[49])/16 - 
       (65*t[50])/16 - (3*t[51])/32 + (65*t[52])/16 - (3*t[53])/16 - 
       (37*t[54])/16 - 2*t[59] + (61*t[60])/4 + 18*t[61] - 21*t[62] - 
       (131*t[63])/4 + (113*t[64])/8 - (49*t[65])/6 - (359*t[66])/6 - t[69] + 
       t[70]/2 - t[71]/2 - 3*t[73] + 3*t[74] - 13*t[75] + 3*t[79] + 
       (3*t[81])/2 - (3*t[82])/2 + (67*t[83])/4 + (31*t[84])/4 + 
       (25*t[85])/4 + 6*t[86] + (71*t[87])/4 + (71*t[88])/8 + (145*t[89])/8 - 
       (45*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-t[1] + t[2] - (11*t[3])/8 - 9*t[4] + 
       (169*t[5])/8 - (123*t[6])/4 + (139*t[7])/4 - 105*t[8] + (11*t[9])/8 - 
       (11*t[10])/4 + 41*t[11] + (65*t[12])/8 + (35*t[13])/8 + 
       (157*t[14])/24 + (169*t[15])/24 + 2*t[20] + 5*t[28] - (79*t[29])/4 + 
       (3*t[30])/2 + 3*t[31] - (3*t[32])/2 + t[33]/2 + 9*t[34] + 10*t[35] - 
       2*t[38] - (9*t[40])/2 + (85*t[44])/4 - 7*t[45] + 5*t[47] - 
       (101*t[48])/4 + (7*t[49])/2 + 17*t[50] - (11*t[51])/4 - 11*t[52] - 
       (7*t[53])/2 - (147*t[54])/4 + t[59] - 6*t[60] + (41*t[61])/2 - 
       (355*t[62])/8 + (347*t[63])/8 - (3*t[64])/2 - (65*t[65])/2 - 
       (403*t[66])/6 + 2*t[69] + 3*t[72] + 5*t[73] - 7*t[75] + 10*t[76] - 
       4*t[78] - 5*t[79] + 6*t[80] + t[81] + t[82] + 4*t[83] - (19*t[84])/2 - 
       (3*t[85])/2 + 11*t[86] - (3*t[87])/4 - (7*t[88])/8 - (105*t[89])/2 + 
       t[97] + 48*t[98] - 48*t[99] - 21*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]^2*((-3*t[1])/8 + (49*t[2])/48 - 
       (329*t[3])/48 - (247*t[4])/48 - (195*t[5])/16 + (755*t[6])/192 + 
       (163*t[7])/16 + (3*t[8])/8 + (347*t[9])/32 - (437*t[10])/96 - 
       (133*t[11])/64 + (49*t[12])/32 - (2909*t[13])/864 + (527*t[14])/72 + 
       (3599*t[15])/1728 - (2*t[24])/3 + (2*t[27])/3 - 2*t[28] - 
       (17*t[29])/24 - (11*t[30])/6 + (7*t[32])/6 - (5*t[33])/12 - t[34]/4 - 
       t[35]/2 + (3*t[36])/2 - (7*t[37])/12 - t[38]/6 - t[39]/3 - t[40]/24 - 
       t[41]/6 + t[42]/6 - t[43]/24 + (27*t[44])/8 + (13*t[45])/12 + 
       t[46]/4 - (3*t[47])/2 - (911*t[48])/192 - (111*t[49])/32 + 
       (1109*t[50])/192 + (233*t[51])/192 - (997*t[52])/192 + 
       (205*t[53])/96 + (835*t[54])/192 + t[59]/6 + (273*t[60])/32 + 
       (1297*t[61])/96 - (701*t[62])/192 + (1477*t[63])/192 - 
       (777*t[64])/64 + (1921*t[65])/288 + (71*t[66])/32 + t[70]/6 - 
       t[71]/6 - (4*t[72])/3 + t[73]/2 - t[74]/4 - (29*t[75])/6 - 
       (11*t[76])/6 - (11*t[77])/12 + (35*t[78])/12 + (2*t[79])/3 - 
       (4*t[80])/3 + (5*t[81])/12 + (21*t[83])/4 + (721*t[84])/96 + 
       (421*t[85])/96 + (9*t[86])/2 + (319*t[87])/96 + (527*t[88])/192 - 
       (259*t[89])/192 - (3*t[95])/2 - (13*t[96])/6 - t[97] - 14*t[98] + 
       19*t[99] - (83*t[100])/4) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]^2*
      ((3*t[1])/8 + t[2]/24 - (871*t[3])/96 + (95*t[4])/16 - (69*t[5])/16 + 
       (377*t[6])/192 - (29*t[7])/16 - (5*t[8])/2 + (289*t[9])/96 + 
       (487*t[10])/96 + (467*t[11])/192 - (343*t[12])/96 + (965*t[13])/864 + 
       (67*t[14])/16 - (563*t[15])/216 + t[18]/6 - t[20]/6 + t[22]/2 + 
       (2*t[24])/3 + t[27]/6 - (7*t[28])/6 - (29*t[29])/24 + t[30]/4 - 
       (13*t[32])/12 + (7*t[33])/6 - (11*t[34])/12 - (13*t[35])/6 - 
       (3*t[36])/2 - t[37]/12 + (7*t[38])/12 - (7*t[39])/12 + (17*t[40])/24 + 
       t[41]/3 - t[42]/3 - (13*t[43])/24 - (25*t[44])/16 + (11*t[45])/4 + 
       t[46]/4 - 3*t[47] - (109*t[48])/192 - (31*t[49])/96 - (3*t[50])/64 + 
       (17*t[51])/64 - (77*t[52])/64 - t[53]/96 + (397*t[54])/192 - 
       (29*t[59])/24 + (423*t[60])/32 + (499*t[61])/32 - (1573*t[62])/192 - 
       (2539*t[63])/192 + (337*t[64])/192 - (293*t[65])/32 - 
       (5939*t[66])/288 - t[67]/24 - (11*t[69])/12 - t[72]/2 + t[73]/2 + 
       (7*t[74])/2 - (10*t[75])/3 - (5*t[76])/3 + (11*t[77])/12 + 
       (7*t[78])/6 + (10*t[79])/3 - 4*t[80] + (9*t[81])/8 - (13*t[82])/8 + 
       (19*t[83])/8 + (165*t[84])/32 + (161*t[85])/96 - 5*t[86] + 
       (71*t[87])/96 + (93*t[88])/64 + (935*t[89])/192 - (3*t[95])/2 - 
       (2*t[96])/3 - t[97]/4 - 14*t[98] + 19*t[99] - (83*t[100])/4) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]^2*((3*t[1])/4 + (19*t[2])/12 - 
       (25*t[3])/12 + (17*t[4])/4 - (13*t[5])/4 + (431*t[6])/128 + 
       (187*t[7])/24 + (305*t[8])/96 + (545*t[9])/64 + (29*t[10])/12 + 
       (3395*t[11])/384 - (223*t[12])/96 + (1597*t[13])/432 + 
       (12835*t[14])/1152 + (11369*t[15])/3456 - t[20]/3 - t[24]/3 - 
       t[27]/3 + t[28]/2 - t[29]/12 - t[30] - t[31]/2 - t[32]/24 + t[33]/3 - 
       (4*t[34])/3 - t[35] - (13*t[37])/12 + t[38]/12 + (11*t[39])/12 - 
       (5*t[40])/48 - t[41]/24 + t[42]/24 - t[43]/24 - (3*t[44])/8 + 
       t[45]/2 + t[46]/8 - (5*t[47])/4 + (41*t[48])/128 + (25*t[49])/12 + 
       (31*t[50])/384 - (25*t[51])/32 - (223*t[52])/384 - (17*t[53])/12 + 
       (181*t[54])/384 + (25*t[59])/24 + (703*t[60])/192 + (5057*t[61])/192 - 
       (5749*t[62])/384 + (133*t[63])/384 - (2433*t[64])/128 - 
       (1225*t[65])/192 - (9389*t[66])/576 + t[70]/6 - t[71]/6 + t[72]/2 + 
       t[74]/2 - t[75]/2 + (5*t[76])/6 + t[77]/6 - (43*t[78])/12 - 
       (7*t[79])/4 + (5*t[80])/2 + (5*t[81])/12 - (2*t[82])/3 + 
       (17*t[83])/12 + (19*t[84])/64 - (383*t[85])/192 + (7*t[86])/4 - 
       (689*t[87])/192 - (123*t[88])/128 - (257*t[89])/128 - t[95]/2 + 
       (5*t[96])/6 + (3*t[97])/4 + t[98] + 2*t[99] - (79*t[100])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-5*t[1])/12 + (29*t[2])/12 - (401*t[3])/96 - (40*t[4])/3 - 
       (1951*t[5])/288 - (707*t[6])/288 + (601*t[7])/24 + (145*t[8])/36 + 
       (4979*t[9])/288 - (685*t[10])/144 - (251*t[11])/288 + 
       (1465*t[12])/288 - (2753*t[13])/288 + (287*t[14])/18 + 
       (1025*t[15])/648 - (179*t[28])/36 - (235*t[29])/144 - 
       (187*t[30])/144 + (5*t[31])/6 + (175*t[32])/144 - (35*t[33])/16 + 
       (167*t[34])/36 + (11*t[35])/3 + 2*t[36] - (5*t[38])/6 - (5*t[40])/4 + 
       t[43] + (161*t[44])/144 - (35*t[45])/12 + (25*t[47])/12 - 
       (3209*t[48])/288 - t[49]/3 + (775*t[50])/96 - t[51]/4 - 
       (535*t[52])/96 + t[53]/3 - (107*t[54])/288 - t[59]/18 + 
       (119*t[60])/144 + (1399*t[61])/144 - (6307*t[62])/288 + 
       (6869*t[63])/288 + (751*t[64])/96 - (1561*t[65])/216 + 
       (283*t[66])/24 + (5*t[72])/6 - (3*t[73])/4 - (11*t[74])/9 - 
       (119*t[75])/12 + (35*t[76])/12 - 2*t[77] - (11*t[78])/3 + 
       (3*t[79])/4 + (13*t[80])/2 - (71*t[81])/36 + (101*t[82])/36 + 
       (503*t[83])/36 - (7*t[84])/9 + (107*t[85])/36 + (943*t[86])/36 + 
       (7*t[87])/12 + (7*t[88])/9 - (2807*t[89])/288 - (14*t[95])/9 + 
       (5*t[97])/12 + 20*t[98] - 20*t[99] - (109*t[100])/6) + 
     D28[v, w, u]*((-3*t[2])/4 - t[3] + (5*t[4])/2 - t[5]/8 + (3*t[6])/2 + 
       t[7] + (3*t[8])/2 - t[9]/8 - (9*t[10])/4 + (19*t[11])/4 + 
       (5*t[12])/8 + (11*t[13])/3 + (29*t[14])/12 + (77*t[15])/48 + t[33] + 
       t[49]/4 - t[51]/8 - t[53]/4 - t[54]/2 + (11*t[60])/4 + (19*t[61])/2 - 
       (7*t[62])/8 - (71*t[63])/8 + (19*t[64])/4 - t[65]/3 - (31*t[66])/3 - 
       2*t[74] + t[81]/2 - t[82]/2 + t[84]/2 + t[85]/4 - (5*t[87])/4 - 
       (5*t[88])/8 - t[89] - 18*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*((135*t[2])/4 - (381*t[3])/8 + 111*t[4] + 
       18*t[5] + (681*t[6])/8 + (1725*t[7])/8 - (2595*t[8])/8 + 
       (801*t[9])/8 + (201*t[10])/2 - (1491*t[11])/4 - (2259*t[12])/8 - 
       (6523*t[13])/48 + (2237*t[14])/16 + (615*t[15])/8 - 6*t[20] - 
       (3*t[22])/2 - 12*t[28] + (27*t[29])/2 - 63*t[30] + 12*t[32] + 
       6*t[34] - 12*t[35] - 36*t[41] + 36*t[42] - (15*t[43])/8 + 
       (141*t[44])/4 + (315*t[45])/2 - 279*t[47] - (459*t[48])/4 - 
       (9*t[49])/8 + (489*t[50])/4 + (9*t[51])/16 - (489*t[52])/4 + 
       (9*t[53])/8 + (9*t[54])/4 - (69*t[59])/2 + (1821*t[60])/4 - 
       558*t[61] + (2235*t[62])/8 - (2031*t[63])/8 - (8667*t[64])/8 - 
       (1741*t[65])/12 + (2485*t[66])/4 - 6*t[69] - 12*t[73] + 3*t[74] - 
       36*t[75] - 78*t[77] + 12*t[79] - 339*t[80] - (3*t[81])/2 - 
       (69*t[82])/2 + 21*t[83] + (423*t[84])/4 + (207*t[85])/2 - 
       (39*t[86])/2 - 171*t[87] - 81*t[88] + (975*t[89])/8 - 6*t[95] - 
       18*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      ((75*t[2])/4 - (1665*t[3])/8 + 183*t[4] - (441*t[5])/8 - 62*t[6] + 
       (693*t[7])/4 - (855*t[8])/4 + (2283*t[9])/8 - 156*t[10] + 
       (231*t[11])/2 - (945*t[12])/8 + (2765*t[13])/24 - (1463*t[14])/12 + 
       (163*t[15])/4 + 3*t[23] + 6*t[24] - (81*t[29])/2 - 57*t[30] - 
       6*t[31] - (27*t[32])/2 + 18*t[33] + 30*t[34] - 48*t[35] - 27*t[37] - 
       (231*t[44])/4 - (285*t[48])/4 + (399*t[49])/4 + (195*t[50])/4 - 
       (33*t[51])/8 - (195*t[52])/4 - (405*t[53])/4 - (699*t[54])/4 + 
       12*t[59] + 693*t[60] - (1135*t[61])/4 + (2479*t[62])/8 - 
       (5139*t[63])/8 - 471*t[64] - (1825*t[65])/12 + (439*t[66])/12 + 
       24*t[69] - 12*t[70] + 12*t[71] - 12*t[73] + 33*t[74] - 36*t[75] - 
       45*t[76] + 60*t[78] + 30*t[79] + (153*t[81])/2 - (9*t[82])/2 + 
       24*t[83] + (603*t[84])/4 + 186*t[85] - 90*t[86] - (375*t[87])/2 - 
       (357*t[88])/4 + (789*t[89])/2 - 6*t[95] - 18*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      (-t[1] - (83*t[2])/12 - (59*t[3])/12 - (119*t[4])/12 - t[5]/6 + 
       8*t[6] + 10*t[7] + (49*t[8])/12 + (47*t[9])/4 - (13*t[10])/8 - 
       (29*t[11])/12 + (185*t[12])/24 - (52*t[13])/9 + (1549*t[14])/144 + 
       (377*t[15])/72 + t[20]/3 - 2*t[28] + (10*t[29])/3 - (17*t[30])/6 + 
       2*t[31] + (7*t[32])/2 - (29*t[33])/6 + 7*t[34] + 6*t[35] - 2*t[38] - 
       3*t[40] + (19*t[44])/6 - 7*t[45] + 5*t[47] + (15*t[48])/4 + 
       (89*t[49])/24 + (19*t[50])/6 - (137*t[51])/48 + (17*t[52])/6 - 
       (89*t[53])/24 + (25*t[54])/12 + (7*t[59])/3 - (163*t[60])/12 + 
       (3*t[61])/2 + (35*t[62])/24 + (949*t[63])/24 + (32*t[64])/3 + 
       (133*t[65])/36 + (257*t[66])/12 + 2*t[72] + t[73] - (5*t[74])/3 + 
       5*t[75] + 7*t[76] - 4*t[78] - t[79] + 6*t[80] + (5*t[81])/6 + 
       (7*t[82])/6 - (29*t[84])/4 + (11*t[85])/6 + 7*t[86] - (51*t[87])/4 - 
       (169*t[88])/24 - (479*t[89])/24 + (4*t[95])/3 + t[97] + 48*t[98] - 
       48*t[99] - 18*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((-5*t[1])/8 - (187*t[2])/48 + (1499*t[3])/96 - 
       (7*t[4])/16 + (349*t[5])/32 + (121*t[6])/64 - (407*t[7])/48 + 
       (35*t[8])/12 - (161*t[9])/8 - (463*t[10])/96 - (547*t[11])/192 + 
       (79*t[12])/24 - (1379*t[13])/864 - (2893*t[14])/288 - 
       (5011*t[15])/1728 - t[18]/2 - t[19]/2 + (5*t[20])/6 - t[21]/2 + 
       t[22]/2 + t[23]/2 + (4*t[24])/3 - t[27]/6 - t[28]/2 - (7*t[29])/24 - 
       t[30] + t[31] - (7*t[32])/3 + (11*t[33])/12 + t[34]/12 + t[35]/2 + 
       (3*t[36])/2 + (7*t[37])/12 + (5*t[38])/12 - (11*t[39])/12 + 
       (13*t[40])/24 - t[41]/3 + t[42]/12 - (11*t[43])/24 - (39*t[44])/16 - 
       (3*t[45])/2 - t[46]/2 + t[47]/4 + (155*t[48])/64 - (53*t[49])/96 - 
       (1187*t[50])/192 - t[51]/64 + (947*t[52])/192 + (85*t[53])/96 + 
       (175*t[54])/192 - t[59]/6 - (1445*t[60])/96 - (1213*t[61])/96 + 
       (2429*t[62])/192 + (835*t[63])/192 + (953*t[64])/64 - (89*t[65])/96 + 
       (5743*t[66])/288 - t[70]/6 + t[71]/6 - (5*t[72])/2 - t[73] - 
       (5*t[74])/4 + (11*t[76])/12 - (17*t[77])/12 - (23*t[78])/12 - 
       (5*t[80])/2 - (67*t[81])/24 + (85*t[82])/24 + t[83]/3 - 
       (201*t[84])/32 - (221*t[85])/96 + t[86]/2 + (565*t[87])/96 - 
       (137*t[88])/64 - (209*t[89])/64 + (3*t[95])/2 + (5*t[96])/3 + 
       8*t[98] + 3*t[99] - 18*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v]*((-3*t[1])/2 - (21*t[2])/2 + (135*t[3])/8 + 
       (39*t[4])/4 + 10*t[5] - (21*t[6])/4 - (53*t[7])/4 - (117*t[8])/4 - 
       (89*t[9])/4 - t[10]/8 + (13*t[11])/4 + (43*t[12])/8 + (133*t[13])/72 - 
       (953*t[14])/48 - (1319*t[15])/144 + t[20] + t[22] + 2*t[24] + 
       t[29]/2 + 2*t[30] + 2*t[31] - (13*t[32])/2 + 2*t[33] + t[34] - 
       2*t[35] - t[36] + 2*t[37] + t[38] - 2*t[39] + 2*t[40] + t[41]/2 - 
       t[42]/2 - (3*t[43])/2 + t[44]/4 - t[46]/2 - (9*t[48])/4 - 
       (7*t[49])/8 - (21*t[50])/4 + t[51]/16 + (9*t[52])/4 + (7*t[53])/8 - 
       (17*t[54])/4 - (3*t[59])/2 - 17*t[60] - (65*t[61])/4 + (81*t[62])/4 + 
       (47*t[63])/4 + (183*t[64])/8 - (59*t[65])/6 + (31*t[66])/3 - t[69] - 
       2*t[70] + 2*t[71] - 3*t[72] + t[74] - t[75] + 4*t[79] - 11*t[80] - 
       t[81] + 3*t[82] - (13*t[83])/2 - (23*t[84])/4 - (11*t[85])/4 - 
       16*t[86] + (13*t[87])/4 - (59*t[88])/8 - 3*t[89] + 2*t[95] + 2*t[96] - 
       t[97] + 12*t[99] - 18*t[100]) + HPL[{0, 1}, 1 - u]*M1[u, v, w]*
      (-t[1]/4 - t[2]/24 - (19*t[3])/6 + (175*t[4])/24 - (397*t[5])/48 - 
       (121*t[6])/96 + (47*t[7])/12 - (55*t[8])/24 + (4*t[9])/3 - 
       (115*t[10])/48 + (257*t[11])/96 - (45*t[12])/8 - (121*t[13])/108 - 
       (767*t[14])/144 + (41*t[15])/54 - t[19] + t[20] + t[21] - 
       (2*t[24])/3 + (2*t[27])/3 + t[28] + (8*t[29])/3 + (11*t[30])/3 - 
       t[31] + (7*t[32])/6 - (13*t[33])/6 - (7*t[34])/2 - 2*t[35] + 2*t[36] + 
       (7*t[37])/6 + (5*t[38])/6 - (7*t[39])/3 + (55*t[40])/12 - 
       (2*t[41])/3 + t[42]/6 - (5*t[43])/12 + (13*t[44])/6 + (29*t[45])/6 + 
       t[46]/2 - 4*t[47] + (115*t[48])/32 - (67*t[49])/16 + (151*t[50])/32 + 
       (157*t[51])/96 - (949*t[52])/96 + (137*t[53])/48 + (25*t[54])/32 + 
       t[59]/6 - (101*t[60])/48 + (821*t[61])/48 + (703*t[62])/96 + 
       (361*t[63])/96 - (563*t[64])/96 + (2543*t[65])/144 + 
       (1657*t[66])/144 - t[70]/3 + t[71]/3 - (4*t[72])/3 + 2*t[73] - 
       t[74]/2 - 2*t[75] - (29*t[76])/6 - (7*t[77])/6 + (67*t[78])/6 - 
       (37*t[80])/3 + (3*t[81])/4 - (37*t[82])/12 - (4*t[83])/3 + 
       (311*t[84])/48 - (19*t[85])/48 - t[86] + (835*t[87])/48 + 
       (241*t[88])/32 + (905*t[89])/96 - t[95] - (5*t[96])/3 - 2*t[97] - 
       32*t[98] + 42*t[99] - 18*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - u]*((-5*t[1])/12 + (871*t[2])/144 - 
       (1277*t[3])/192 - (293*t[4])/24 + (59*t[5])/32 - (655*t[6])/192 + 
       (2071*t[7])/96 - (1391*t[8])/96 + (1315*t[9])/96 - (371*t[10])/48 + 
       (719*t[11])/192 + (73*t[12])/12 - (1651*t[13])/576 + 
       (6937*t[14])/576 - (253*t[15])/128 + (2*t[20])/3 + t[23] + t[24] - 
       (5*t[28])/2 - (307*t[29])/48 - (5*t[30])/6 - t[31]/6 - (11*t[32])/8 + 
       (3*t[33])/8 + (175*t[34])/24 + (5*t[35])/3 + 2*t[36] - (5*t[38])/6 - 
       (5*t[40])/4 + t[43] + (89*t[44])/48 - (35*t[45])/12 + (25*t[47])/12 - 
       (2479*t[48])/192 + t[49]/16 + (259*t[50])/64 - (43*t[51])/96 - 
       (99*t[52])/64 - t[53]/16 - (599*t[54])/192 - (115*t[59])/144 + 
       (581*t[60])/32 - (547*t[61])/96 - (1687*t[62])/64 + (211*t[63])/64 + 
       (2143*t[64])/192 - (3133*t[65])/144 - (293*t[66])/16 + (5*t[72])/6 - 
       t[73]/6 - (3*t[74])/2 - (13*t[75])/2 + (23*t[76])/12 - 2*t[77] - 
       (11*t[78])/3 - (5*t[79])/6 + (13*t[80])/2 + (4*t[81])/3 + 
       (13*t[82])/6 + (29*t[83])/3 - (29*t[84])/48 + (133*t[85])/48 + 
       (175*t[86])/6 - (59*t[87])/8 - (31*t[88])/12 - (2635*t[89])/192 - 
       t[95] + (5*t[97])/12 + 20*t[98] - 20*t[99] - (35*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - w]*((41*t[3])/2 + t[4]/3 + 
       (1109*t[5])/24 - (98*t[6])/3 - 20*t[7] - (961*t[8])/12 - 
       (263*t[9])/8 - (10*t[10])/3 + (437*t[11])/12 + (37*t[12])/24 + 
       (509*t[13])/24 - (298*t[14])/9 - (5309*t[15])/432 - (4*t[28])/3 - 
       (9*t[29])/4 - 8*t[30] + 5*t[31] + 10*t[35] - (15*t[40])/2 + 
       (67*t[44])/12 - (31*t[48])/4 + t[49]/12 - (39*t[50])/4 - t[51]/24 + 
       (39*t[52])/4 - t[53]/12 - (395*t[54])/12 + (73*t[60])/2 - 
       (457*t[61])/12 - (437*t[62])/24 - (545*t[63])/8 + (1391*t[64])/24 - 
       (929*t[65])/18 - (2263*t[66])/18 + 5*t[72] + 2*t[73] - (8*t[75])/3 + 
       15*t[76] - (2*t[79])/3 + t[81]/6 - t[82]/6 + (31*t[83])/3 - 
       (11*t[84])/3 - (43*t[85])/12 + (38*t[86])/3 - t[87]/3 - t[88]/6 - 
       (215*t[89])/6 - 17*t[100]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1, 1}, 1 - u]*((61*t[2])/12 - (21*t[3])/4 + (55*t[4])/12 + 
       (413*t[5])/24 - (185*t[6])/24 - (137*t[7])/12 - (89*t[8])/4 - 
       (461*t[9])/24 - (137*t[10])/24 + (397*t[11])/24 - (14*t[12])/3 + 
       (409*t[13])/36 + (95*t[14])/16 + (385*t[15])/432 + (2*t[20])/3 + 
       5*t[23] + 5*t[24] + (4*t[28])/3 - (13*t[29])/2 + (15*t[30])/4 - 
       5*t[31] - (59*t[32])/12 + (67*t[33])/12 + (2*t[34])/3 - (50*t[35])/3 - 
       (15*t[44])/2 - (41*t[48])/8 + (23*t[49])/24 - (9*t[50])/8 - 
       (23*t[51])/48 + (9*t[52])/8 - (23*t[53])/24 - (271*t[54])/24 - 
       (17*t[59])/12 + (113*t[60])/6 + (91*t[61])/12 - (49*t[62])/8 - 
       (451*t[63])/24 + (32*t[64])/3 - (241*t[65])/12 - (587*t[66])/12 + 
       t[67]/6 - t[69] - 3*t[73] + 2*t[74] - (23*t[75])/3 + (7*t[79])/3 + 
       (13*t[81])/6 - (13*t[82])/6 + (13*t[83])/6 + t[84]/12 - (13*t[85])/3 - 
       9*t[86] + t[87] + t[88]/2 + (37*t[89])/12 - 17*t[100]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*(-5*t[1] - (3223*t[2])/72 + 
       (14027*t[3])/144 + (809*t[4])/24 - (191*t[5])/48 - (12293*t[6])/192 + 
       (4057*t[7])/72 - (30557*t[8])/144 + (549*t[9])/32 - (1591*t[10])/144 + 
       (24223*t[11])/576 + (4015*t[12])/144 + (42757*t[13])/1296 - 
       (49903*t[14])/1728 - (79103*t[15])/5184 - (4*t[20])/9 - (4*t[24])/9 - 
       (40*t[27])/9 + (83*t[29])/36 + (37*t[30])/3 + (13*t[31])/3 - 
       (1331*t[32])/36 - (43*t[33])/18 + (131*t[34])/9 + 4*t[36] + 
       (29*t[37])/9 - (7*t[38])/18 + (85*t[39])/18 + (275*t[40])/72 + 
       (5*t[41])/18 - (5*t[42])/18 - (5*t[43])/9 + (347*t[44])/24 - 
       (137*t[45])/6 - (23*t[46])/12 + (139*t[47])/6 - (6955*t[48])/192 + 
       (1855*t[49])/144 + (4499*t[50])/576 - (599*t[51])/96 - 
       (11219*t[52])/576 - (575*t[53])/144 - (28015*t[54])/576 + 
       (89*t[59])/36 - (41233*t[60])/288 - (14531*t[61])/288 + 
       (27319*t[62])/576 + (94649*t[63])/576 + (121*t[64])/64 - 
       (2321*t[65])/288 + (23723*t[66])/864 - (106*t[70])/9 + (106*t[71])/9 - 
       (25*t[72])/3 - 4*t[73] - (35*t[74])/2 + 4*t[75] + (599*t[76])/18 - 
       (29*t[77])/18 - (313*t[78])/9 - (2*t[79])/3 + (35*t[80])/3 + 
       (431*t[81])/36 + (355*t[82])/36 + (43*t[83])/18 - (5029*t[84])/96 - 
       (3739*t[85])/288 - (62*t[86])/3 - (1717*t[87])/288 - 
       (11495*t[88])/192 - (6265*t[89])/192 + (64*t[95])/3 + (226*t[96])/9 + 
       (3*t[97])/2 + (658*t[98])/3 - 206*t[99] - 17*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-89*t[1])/12 + 14*t[2] - (133*t[3])/8 - (71*t[4])/3 + 
       (1861*t[5])/48 + (2581*t[6])/48 + (17*t[7])/24 + (3691*t[8])/24 - 
       (2371*t[9])/48 - (675*t[10])/8 - (2977*t[11])/48 + (247*t[12])/48 - 
       (6221*t[13])/144 - (1505*t[14])/36 - (5153*t[15])/864 + t[16]/3 + 
       2*t[19] + 2*t[20] + 2*t[21] - 2*t[22] - 2*t[23] + (14*t[25])/3 - 
       (71*t[26])/6 - (16*t[27])/3 - 12*t[28] - t[29]/3 - (14*t[30])/3 - 
       6*t[31] + (29*t[32])/3 + (10*t[33])/3 - (5*t[34])/2 + 4*t[35] + 
       (8*t[36])/3 - (16*t[37])/3 - 7*t[38] - 14*t[39] - (7*t[40])/3 + 
       (5*t[41])/4 - (5*t[42])/4 - (79*t[43])/12 + (10*t[44])/3 - 
       (3*t[45])/4 - 15*t[46] + t[47]/6 + (2521*t[48])/48 + (63*t[49])/4 - 
       (1403*t[50])/48 + (37*t[51])/6 + (1795*t[52])/48 - (355*t[53])/12 + 
       (1295*t[54])/48 + (5*t[58])/6 + (10*t[59])/3 + (61*t[60])/8 + 
       (167*t[61])/24 + (1843*t[62])/48 - (5195*t[63])/48 - (1967*t[64])/16 + 
       (9149*t[65])/72 + (11825*t[66])/72 + (40*t[68])/3 + (28*t[70])/3 - 
       (28*t[71])/3 - 15*t[72] - 6*t[73] + 6*t[74] - 2*t[75] - 
       (115*t[76])/6 + 3*t[77] + (31*t[78])/3 + 33*t[79] + 6*t[80] - 
       (35*t[81])/2 + (187*t[82])/6 - 7*t[83] + (185*t[84])/8 - 
       (41*t[85])/24 + (313*t[86])/6 + (1553*t[87])/24 + (3337*t[88])/48 + 
       (1085*t[89])/48 + t[91]/6 - 2*t[93] - 8*t[95] - 4*t[96] + 
       (5*t[97])/3 - 48*t[98] + 64*t[99] - 17*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((23*t[1])/12 - (101*t[2])/12 - (1601*t[3])/24 + (493*t[4])/8 - 
       (277*t[5])/12 + (4483*t[6])/48 - (109*t[7])/12 + 20*t[8] + 
       (859*t[9])/24 + (853*t[10])/16 - (981*t[11])/16 - (2509*t[12])/48 - 
       (11723*t[13])/216 + (2263*t[14])/96 - (469*t[15])/432 - t[16]/3 + 
       2*t[17] - (20*t[18])/3 - (4*t[19])/3 + 24*t[20] - (32*t[21])/3 - 
       13*t[22] + (62*t[23])/3 - 4*t[24] - 6*t[25] - (29*t[26])/6 - 
       11*t[27] + 6*t[28] - (29*t[29])/2 - (4*t[30])/3 + (53*t[32])/3 + 
       (14*t[33])/3 + t[34]/6 - 4*t[35] - (2*t[36])/3 - 2*t[37] - 
       (11*t[38])/6 - (10*t[39])/3 - 6*t[40] - (5*t[41])/4 + (5*t[42])/4 + 
       (37*t[43])/3 - (25*t[44])/4 + (229*t[45])/6 - 2*t[46] - 63*t[47] + 
       (515*t[48])/16 + (1013*t[49])/48 + (749*t[50])/48 - (237*t[51])/32 - 
       (149*t[52])/48 - (917*t[53])/48 + (275*t[54])/16 - t[56] + 2*t[57] - 
       t[58]/2 + (43*t[59])/4 + (847*t[60])/6 + (91*t[61])/2 + 
       (333*t[62])/4 + (235*t[63])/4 - (2177*t[64])/6 - (2363*t[65])/18 + 
       (183*t[66])/2 + (7*t[67])/3 - (4*t[68])/3 + 10*t[69] + 16*t[70] - 
       16*t[71] - 18*t[72] - 2*t[73] + (50*t[74])/3 + 14*t[75] - 
       (101*t[76])/6 + 15*t[77] + (82*t[78])/3 - 20*t[79] - 21*t[80] + 
       (19*t[81])/6 - (71*t[82])/6 - 21*t[83] + 14*t[84] - (5*t[85])/3 - 
       (271*t[86])/3 - (95*t[87])/2 - (19*t[88])/4 + t[89]/6 + (2*t[90])/3 - 
       (2*t[92])/3 - (8*t[94])/3 - 4*t[95] - 4*t[96] + (11*t[97])/6 - 
       48*t[98] + 64*t[99] - 17*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - w]*((3*t[2])/4 - (67*t[3])/6 + (7*t[4])/6 - 
       (265*t[5])/24 - (515*t[6])/48 + (137*t[7])/4 - 40*t[8] + 
       (253*t[9])/12 - (11*t[10])/4 + (911*t[11])/48 + (17*t[12])/24 + 
       (7*t[13])/24 + (3619*t[14])/144 + (1061*t[15])/216 + t[20]/3 + 
       (2*t[23])/3 - (26*t[28])/3 - (11*t[29])/6 - 4*t[30] - t[31] + 
       (13*t[32])/12 - (23*t[33])/6 + (8*t[34])/3 + (5*t[44])/6 - 
       (275*t[48])/16 - (7*t[49])/12 + (659*t[50])/48 + (7*t[51])/24 - 
       (659*t[52])/48 + (7*t[53])/12 - (547*t[54])/48 + t[59]/6 + 
       (547*t[60])/24 + (839*t[61])/24 - (507*t[62])/16 + (203*t[63])/16 - 
       (2135*t[64])/48 - (257*t[65])/8 - (797*t[66])/24 - t[72] - 
       (7*t[73])/3 + (5*t[74])/3 - (37*t[75])/3 + 2*t[79] + (28*t[83])/3 + 
       (167*t[84])/24 + (37*t[85])/8 - (2*t[86])/3 - (445*t[87])/24 - 
       (341*t[88])/48 - (217*t[89])/16 - (16*t[95])/3 - (33*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((3*t[2])/4 + (61*t[3])/24 - (13*t[4])/4 + (7*t[5])/4 - (55*t[6])/48 - 
       t[7]/2 + (3*t[8])/2 + (57*t[9])/8 + (11*t[10])/8 - (77*t[11])/48 - 
       (9*t[12])/8 - (29*t[13])/36 + (86*t[14])/9 - (83*t[15])/27 - 
       (8*t[28])/3 - (17*t[29])/12 - 6*t[30] + t[31] - (47*t[32])/12 + 
       (13*t[33])/6 + t[34]/3 + 2*t[35] - (3*t[40])/2 - (71*t[44])/12 + 
       (35*t[48])/48 - (9*t[49])/8 - (157*t[50])/48 + (9*t[51])/16 + 
       (157*t[52])/48 + (9*t[53])/8 + (101*t[54])/48 + (7*t[59])/6 + 
       (227*t[60])/8 - (59*t[61])/24 - (437*t[62])/48 - (1091*t[63])/48 - 
       (85*t[64])/48 - (2029*t[65])/72 - (1319*t[66])/72 + t[69] + t[72] - 
       (7*t[73])/3 + (17*t[74])/3 - (31*t[75])/3 + 3*t[76] + (5*t[79])/3 - 
       (11*t[81])/6 + (11*t[82])/6 + (33*t[83])/2 + (115*t[84])/24 + 
       (97*t[85])/24 + 5*t[86] - (425*t[87])/24 - (107*t[88])/16 - 
       (5*t[89])/48 - (16*t[95])/3 - (33*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((3*t[2])/2 - (91*t[3])/8 - 2*t[4] - (52*t[5])/3 - (37*t[6])/6 + 
       (115*t[7])/4 - (169*t[8])/12 + (239*t[9])/12 - t[10]/6 + 
       (22*t[11])/3 + (31*t[12])/12 - (45*t[13])/8 + (257*t[14])/12 + 
       (2129*t[15])/432 - (22*t[28])/3 - (13*t[29])/6 - (25*t[30])/6 - 
       (7*t[32])/3 - t[33]/2 + (7*t[34])/3 + (5*t[44])/6 - (83*t[48])/12 - 
       t[49] + (53*t[50])/4 + t[51]/2 - (53*t[52])/4 + t[53] - (25*t[54])/6 + 
       t[59]/6 - (23*t[60])/3 + (95*t[61])/3 - (43*t[62])/3 + (241*t[63])/6 - 
       (123*t[64])/4 - (739*t[65])/36 + (161*t[66])/12 - 2*t[73] + 
       (8*t[74])/3 - 10*t[75] + 2*t[79] - (4*t[81])/3 + (4*t[82])/3 + 
       (40*t[83])/3 - (35*t[84])/12 - (11*t[85])/12 + (14*t[86])/3 - 
       (29*t[87])/4 - (35*t[88])/24 - (20*t[89])/3 - (16*t[95])/3 - 
       16*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((3*t[2])/2 - (91*t[3])/8 - 2*t[4] - 
       (40*t[5])/3 - (13*t[6])/6 + (115*t[7])/4 - (169*t[8])/12 + 
       (311*t[9])/12 - t[10]/6 + (10*t[11])/3 + (7*t[12])/12 - (29*t[13])/8 + 
       (305*t[14])/12 + (689*t[15])/432 - (22*t[28])/3 - (13*t[29])/6 - 
       (25*t[30])/6 - (7*t[32])/3 - t[33]/2 + (7*t[34])/3 + (5*t[44])/6 - 
       (131*t[48])/12 - t[49] + (37*t[50])/4 + t[51]/2 - (37*t[52])/4 + 
       t[53] - t[54]/6 + t[59]/6 + (73*t[60])/3 + (71*t[61])/3 - 
       (67*t[62])/3 + t[63]/6 - (139*t[64])/4 - (739*t[65])/36 - 
       (69*t[66])/4 - 2*t[73] + (8*t[74])/3 - 10*t[75] + 2*t[79] - 
       (4*t[81])/3 + (4*t[82])/3 + (40*t[83])/3 + (109*t[84])/12 + 
       (85*t[85])/12 + (14*t[86])/3 - (61*t[87])/4 - (131*t[88])/24 - 
       (8*t[89])/3 - (16*t[95])/3 - 16*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((3*t[2])/2 - (91*t[3])/8 - 2*t[4] - (40*t[5])/3 - (13*t[6])/6 + 
       (115*t[7])/4 - (169*t[8])/12 + (311*t[9])/12 - t[10]/6 + 
       (10*t[11])/3 + (7*t[12])/12 - (29*t[13])/8 + (305*t[14])/12 + 
       (689*t[15])/432 - (22*t[28])/3 - (13*t[29])/6 - (25*t[30])/6 - 
       (7*t[32])/3 - t[33]/2 + (7*t[34])/3 + (5*t[44])/6 - (131*t[48])/12 - 
       t[49] + (37*t[50])/4 + t[51]/2 - (37*t[52])/4 + t[53] - t[54]/6 + 
       t[59]/6 + (73*t[60])/3 + (71*t[61])/3 - (67*t[62])/3 + t[63]/6 - 
       (139*t[64])/4 - (739*t[65])/36 - (69*t[66])/4 - 2*t[73] + 
       (8*t[74])/3 - 10*t[75] + 2*t[79] - (4*t[81])/3 + (4*t[82])/3 + 
       (40*t[83])/3 + (109*t[84])/12 + (85*t[85])/12 + (14*t[86])/3 - 
       (61*t[87])/4 - (131*t[88])/24 - (8*t[89])/3 - (16*t[95])/3 - 
       16*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 
       1 - u]*((23*t[2])/2 - (123*t[3])/8 - 2*t[4] - (28*t[5])/3 - 
       (13*t[6])/6 + (147*t[7])/4 - (73*t[8])/12 + (311*t[9])/12 + 
       (143*t[10])/6 + (10*t[11])/3 - (65*t[12])/12 - (77*t[13])/8 + 
       (139*t[14])/4 + (3569*t[15])/432 - (22*t[28])/3 - (13*t[29])/6 - 
       (25*t[30])/6 - 16*t[31] - (7*t[32])/3 - t[33]/2 + (7*t[34])/3 + 
       (5*t[44])/6 - (35*t[48])/12 - t[49] + (69*t[50])/4 + t[51]/2 - 
       (69*t[52])/4 + t[53] - t[54]/6 - (35*t[59])/6 + (49*t[60])/3 + 
       (137*t[61])/3 - (79*t[62])/3 + (25*t[63])/6 - (171*t[64])/4 - 
       (355*t[65])/36 - (21*t[66])/4 - 16*t[69] - 4*t[71] - 2*t[73] + 
       (8*t[74])/3 - 10*t[75] + 2*t[79] - (4*t[81])/3 + (4*t[82])/3 + 
       (40*t[83])/3 + (157*t[84])/12 - (11*t[85])/12 + (14*t[86])/3 - 
       (29*t[87])/4 - (35*t[88])/24 - (8*t[89])/3 - (16*t[95])/3 - 
       16*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((35*t[3])/8 - t[4]/2 + (11*t[5])/12 - 
       (38*t[6])/3 + (61*t[7])/4 - (331*t[8])/12 - (17*t[9])/6 - 
       (11*t[10])/12 + (83*t[11])/6 + (7*t[12])/12 - (17*t[13])/24 + 
       (175*t[14])/24 + (857*t[15])/432 - (22*t[28])/3 - (19*t[29])/6 - 
       (13*t[30])/6 - (10*t[32])/3 - t[33]/2 - (5*t[34])/3 + (16*t[44])/3 - 
       (95*t[48])/12 - t[49]/4 + (33*t[50])/4 + t[51]/8 - (33*t[52])/4 + 
       t[53]/4 - (73*t[54])/6 + t[59]/6 - (61*t[60])/6 + (65*t[61])/3 - 
       (58*t[62])/3 + (151*t[63])/6 - (27*t[64])/4 - (397*t[65])/36 - 
       (145*t[66])/12 - 2*t[73] + (2*t[74])/3 - 10*t[75] + 2*t[79] - 
       t[81]/3 + t[82]/3 + (40*t[83])/3 - (29*t[84])/12 - (35*t[85])/12 + 
       (14*t[86])/3 - (25*t[87])/4 - (71*t[88])/24 - (155*t[89])/12 - 
       (4*t[95])/3 - 16*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*((35*t[3])/8 - t[4]/2 + 
       (11*t[5])/12 - (38*t[6])/3 + (61*t[7])/4 - (331*t[8])/12 - 
       (17*t[9])/6 - (11*t[10])/12 + (83*t[11])/6 + (7*t[12])/12 - 
       (17*t[13])/24 + (175*t[14])/24 + (857*t[15])/432 - (22*t[28])/3 - 
       (19*t[29])/6 - (13*t[30])/6 - (10*t[32])/3 - t[33]/2 - (5*t[34])/3 + 
       (16*t[44])/3 - (95*t[48])/12 - t[49]/4 + (33*t[50])/4 + t[51]/8 - 
       (33*t[52])/4 + t[53]/4 - (73*t[54])/6 + t[59]/6 - (61*t[60])/6 + 
       (65*t[61])/3 - (58*t[62])/3 + (151*t[63])/6 - (27*t[64])/4 - 
       (397*t[65])/36 - (145*t[66])/12 - 2*t[73] + (2*t[74])/3 - 10*t[75] + 
       2*t[79] - t[81]/3 + t[82]/3 + (40*t[83])/3 - (29*t[84])/12 - 
       (35*t[85])/12 + (14*t[86])/3 - (25*t[87])/4 - (71*t[88])/24 - 
       (155*t[89])/12 - (4*t[95])/3 - 16*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*(-t[1]/2 + (25*t[2])/12 - 
       (673*t[3])/24 - (287*t[4])/12 - (73*t[5])/8 - (2609*t[6])/48 + 
       (205*t[7])/4 - 118*t[8] + (5*t[9])/3 + (839*t[10])/24 + 
       (749*t[11])/48 + (329*t[12])/12 + t[13]/72 - (203*t[14])/36 + 
       (6041*t[15])/432 + (3*t[17])/2 - (182*t[20])/3 - 3*t[24] + 12*t[27] - 
       (148*t[28])/3 - (11*t[29])/6 + (93*t[30])/2 - 6*t[31] - (77*t[32])/6 + 
       (67*t[33])/6 - (56*t[34])/3 - 10*t[35] - 2*t[38] - 3*t[39] - 5*t[40] - 
       (3*t[41])/2 + (3*t[42])/2 + (123*t[44])/4 - 19*t[45] + 6*t[46] + 
       13*t[47] - (2555*t[48])/48 - (67*t[49])/24 + (1037*t[50])/48 - 
       (197*t[51])/48 - (605*t[52])/48 + (67*t[53])/24 - (985*t[54])/48 - 
       (689*t[60])/8 + (85*t[61])/24 - (1029*t[62])/16 + (6223*t[63])/48 + 
       (893*t[64])/48 - (829*t[65])/24 - (183*t[66])/8 - (9*t[68])/2 - 
       42*t[72] + 27*t[73] + 5*t[74] - 105*t[75] + 21*t[76] + 4*t[77] - 
       (41*t[78])/2 + 17*t[79] + 7*t[80] - (13*t[81])/2 + 21*t[82] + 
       (214*t[83])/3 - (787*t[84])/24 + (637*t[85])/24 + (71*t[86])/3 + 
       (611*t[87])/8 + (611*t[88])/16 - (349*t[89])/16 - (3*t[90])/2 - 
       6*t[93] + 3*t[97] + 144*t[98] - 144*t[99] - 16*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*((3*t[1])/2 - (5*t[2])/2 - 
       (151*t[3])/4 + (63*t[4])/4 - (563*t[5])/24 + (281*t[6])/48 + 
       (317*t[7])/6 + (73*t[8])/6 + (107*t[9])/2 + (719*t[10])/24 + 
       (313*t[11])/16 + (139*t[12])/12 + (65*t[13])/6 + (3193*t[14])/36 + 
       (707*t[15])/108 - 2*t[23] + (5*t[28])/3 - (123*t[29])/4 + 10*t[30] + 
       6*t[32] - 6*t[33] - 5*t[34] - 12*t[35] + 7*t[39] - (13*t[40])/2 + 
       (5*t[41])/2 - (5*t[42])/2 + (551*t[44])/12 - 2*t[45] + 8*t[47] - 
       (2629*t[48])/48 + (9*t[49])/8 + (571*t[50])/48 - (9*t[51])/16 - 
       (523*t[52])/48 - t[53]/8 + (197*t[54])/48 + (5*t[59])/2 + 
       (1181*t[60])/24 + (1053*t[61])/8 - (1613*t[62])/48 - (1067*t[63])/48 - 
       (4181*t[64])/48 - (533*t[65])/72 - (599*t[66])/72 + 6*t[72] + 
       27*t[73] - 105*t[75] + 31*t[76] + 6*t[77] - 29*t[78] - 7*t[79] + 
       12*t[80] - (13*t[81])/2 - (39*t[82])/2 + (106*t[83])/3 - (3*t[84])/8 + 
       (115*t[85])/8 - (145*t[86])/3 + (325*t[87])/24 + (325*t[88])/48 + 
       (289*t[89])/16 + 7*t[96] + 5*t[97] + 144*t[98] - 144*t[99] - 
       16*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      (-t[1]/8 + (55*t[2])/32 - (437*t[3])/48 + (59*t[4])/16 - 
       (625*t[5])/64 - (589*t[6])/96 + (443*t[7])/48 - (989*t[8])/48 + 
       (5341*t[9])/192 + (277*t[10])/32 + 7*t[11] - (25*t[12])/192 + 
       (5737*t[13])/864 + (2327*t[14])/144 - (11245*t[15])/1152 + 
       (2*t[18])/3 - (7*t[20])/12 - t[22] + t[24]/2 - t[27]/2 - 
       (17*t[28])/6 - (139*t[29])/24 - 4*t[30] - (7*t[31])/6 - 
       (91*t[32])/16 + (13*t[33])/12 + (16*t[34])/3 - (17*t[35])/6 - 
       t[36]/12 + (5*t[37])/6 - t[38]/3 + (17*t[39])/6 - (125*t[40])/48 + 
       (3*t[41])/8 - (3*t[42])/8 - t[43]/6 - (37*t[44])/12 - (19*t[45])/12 + 
       t[46]/8 + (11*t[47])/4 - (379*t[48])/32 + (89*t[49])/96 - 
       (39*t[50])/32 - (131*t[51])/192 + (157*t[52])/96 + (7*t[53])/96 - 
       (135*t[54])/32 - (13*t[59])/16 + (709*t[60])/24 + (163*t[61])/48 - 
       (875*t[62])/32 - (1445*t[63])/48 + (443*t[64])/96 - (553*t[65])/24 - 
       (1333*t[66])/24 + t[67]/16 - t[69]/4 - (11*t[70])/12 + (11*t[71])/12 + 
       (7*t[72])/6 + t[73]/2 + (33*t[74])/8 - 9*t[75] + (13*t[76])/3 - 
       t[77]/2 - (73*t[78])/12 + t[79] + t[80]/3 + (31*t[81])/6 - 
       (31*t[82])/12 + (251*t[83])/24 + (95*t[84])/16 + (409*t[85])/48 + 
       4*t[86] - (323*t[87])/24 - (71*t[88])/8 + (391*t[89])/96 - 
       (7*t[95])/6 + (13*t[96])/6 + (2*t[97])/3 + 21*t[98] - 23*t[99] - 
       (125*t[100])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*(-t[1]/3 - (117*t[2])/8 - 
       (205*t[3])/4 - (503*t[4])/24 - (1729*t[5])/36 + (5531*t[6])/288 + 
       (269*t[7])/24 + (209*t[8])/9 + (707*t[9])/144 - (413*t[10])/144 - 
       (8503*t[11])/288 + (61*t[12])/144 - (4765*t[13])/216 + (67*t[14])/24 + 
       (2839*t[15])/2592 + 3*t[20] - 2*t[22] - (10*t[24])/3 + (10*t[27])/3 + 
       (19*t[28])/18 + (83*t[29])/72 - (337*t[30])/72 + (8*t[31])/3 + 
       (607*t[32])/72 - (59*t[33])/24 - (35*t[34])/9 + (25*t[35])/3 + 
       6*t[36] + (5*t[37])/6 + t[38]/2 - (37*t[39])/6 + (53*t[40])/12 + 
       (11*t[41])/12 - (11*t[42])/12 - (7*t[43])/12 + (629*t[44])/72 + 
       (25*t[45])/3 + (3*t[46])/2 - (29*t[47])/6 + (2873*t[48])/288 - 
       (683*t[49])/48 + (505*t[50])/32 + (551*t[51])/96 - (1643*t[52])/96 + 
       (153*t[53])/16 + (8447*t[54])/288 + (23*t[59])/36 + (3007*t[60])/144 + 
       (4337*t[61])/144 - (6581*t[62])/288 - (2135*t[63])/288 + 
       (5963*t[64])/96 + (21575*t[65])/432 + (2609*t[66])/48 + 3*t[69] + 
       (7*t[70])/3 - (7*t[71])/3 - 4*t[72] + (15*t[73])/2 - (41*t[74])/18 - 
       (23*t[75])/6 - (31*t[76])/3 + (13*t[77])/6 + (49*t[78])/2 - 
       (3*t[79])/2 - (47*t[80])/3 - (37*t[81])/36 - (179*t[82])/36 + 
       (34*t[83])/9 + (3643*t[84])/144 + (1825*t[85])/144 + (403*t[86])/18 + 
       (1553*t[87])/48 + (7843*t[88])/288 + (6941*t[89])/288 - (67*t[95])/9 - 
       (28*t[96])/3 - (19*t[97])/6 - 60*t[98] + 64*t[99] - (46*t[100])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      ((3*t[1])/2 - (11*t[3])/4 - (23*t[4])/2 - (41*t[5])/2 - (11*t[6])/4 + 
       (7*t[7])/2 + 20*t[8] - 12*t[9] + (41*t[10])/4 + 3*t[11] + 
       (5*t[12])/4 - (155*t[13])/24 + (3*t[14])/8 + (77*t[15])/8 + 4*t[48] - 
       (31*t[49])/4 + (11*t[50])/2 + (31*t[51])/8 - (11*t[52])/2 + 
       (31*t[53])/4 + 10*t[54] - 14*t[60] + 57*t[61] - 25*t[62] + 62*t[63] + 
       (39*t[64])/2 - 16*t[65] - (4*t[66])/3 + 3*t[72] - 24*t[76] - 8*t[77] + 
       32*t[78] - 2*t[81] + 10*t[82] + 2*t[84] - 25*t[85] + 21*t[87] + 
       (21*t[88])/2 - (47*t[89])/2 - 144*t[98] + 192*t[99] - 15*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*((-3*t[1])/2 + t[2] + 
       (3*t[3])/2 - (47*t[4])/4 + (101*t[5])/8 - (17*t[6])/4 - (3*t[7])/4 + 
       (57*t[8])/4 - (165*t[9])/8 + (15*t[10])/8 + (57*t[11])/4 + 15*t[12] - 
       (721*t[13])/24 - (61*t[14])/16 + (631*t[15])/48 - 3*t[20] + 3*t[24] - 
       3*t[34] + (11*t[41])/2 - (11*t[42])/2 + 24*t[45] - 32*t[47] + 
       (11*t[48])/2 - (53*t[49])/8 + 4*t[50] + (53*t[51])/16 - 4*t[52] + 
       (53*t[53])/8 + (25*t[54])/4 + 7*t[59] - (103*t[60])/4 + 
       (297*t[61])/4 - (215*t[62])/8 + (227*t[63])/8 - (47*t[64])/8 + 
       (83*t[65])/4 + (277*t[66])/4 + 3*t[69] - 3*t[70] + 3*t[71] + 6*t[72] + 
       (15*t[84])/4 - (79*t[85])/4 + (97*t[87])/4 + (97*t[88])/8 - 
       (181*t[89])/8 - 144*t[98] + 192*t[99] - 15*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^3*((-3*t[1])/4 + (95*t[2])/12 + 
       (11*t[3])/48 - (1103*t[4])/96 + (1589*t[5])/192 + (217*t[6])/48 + 
       (143*t[7])/48 + (343*t[8])/24 + (805*t[9])/192 - (1023*t[10])/64 - 
       (155*t[11])/96 + (227*t[12])/96 - (161*t[13])/288 + 
       (11891*t[14])/1152 + (12511*t[15])/3456 - t[17]/12 - t[18]/2 - 
       (7*t[20])/3 + 2*t[22] + (7*t[24])/3 + (5*t[27])/6 + t[28] - 
       (19*t[29])/24 - 3*t[30] - t[31]/2 + (7*t[32])/4 - (5*t[33])/6 + 
       (7*t[34])/3 + (3*t[35])/2 + 3*t[36] - t[37]/6 - (19*t[38])/12 + 
       (35*t[39])/12 - (101*t[40])/24 - t[41]/3 + t[42]/12 - (43*t[43])/96 + 
       (31*t[44])/48 - (163*t[45])/24 + t[46]/4 + (29*t[47])/6 + 
       (191*t[48])/48 - (391*t[49])/192 - (59*t[50])/16 - (55*t[51])/128 + 
       (139*t[52])/16 + (455*t[53])/192 + (473*t[54])/96 + t[55]/12 + 
       t[56]/4 - t[57]/2 + (17*t[59])/12 - (145*t[60])/32 - (289*t[61])/96 - 
       (49*t[62])/64 + (1521*t[63])/64 + (1175*t[64])/192 - 
       (1921*t[65])/288 + (397*t[66])/32 - t[68]/6 + t[69]/2 + (4*t[70])/3 - 
       (4*t[71])/3 + (7*t[72])/6 - (8*t[73])/3 + (16*t[74])/3 + 
       (19*t[75])/6 + (25*t[76])/4 - (7*t[77])/6 - (9*t[78])/2 - 
       (23*t[79])/3 + (101*t[80])/12 - (5*t[81])/2 + (14*t[82])/3 - 
       (13*t[83])/12 - (311*t[84])/96 - (95*t[85])/96 + (47*t[86])/24 - 
       (689*t[87])/96 - (155*t[88])/64 - (3029*t[89])/192 - t[91]/72 - 
       t[93]/6 + 2*t[95] + t[96]/6 + t[97] + 34*t[98] - 40*t[99] - 
       (44*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^3*
      ((3*t[1])/2 - (13*t[2])/4 - (7*t[3])/4 + (341*t[4])/32 + 
       (1055*t[5])/192 - (3*t[6])/4 - (79*t[7])/48 + (427*t[8])/24 - 
       (977*t[9])/192 + (2365*t[10])/192 + (615*t[11])/32 + (335*t[12])/96 + 
       (5155*t[13])/864 + (1701*t[14])/128 + (5137*t[15])/3456 - t[17]/2 - 
       (13*t[20])/6 + 3*t[22] + t[24]/3 - (7*t[27])/6 + t[28]/6 + 
       (17*t[29])/24 + (13*t[30])/3 + t[31]/2 + t[32]/12 - t[33]/3 - t[34] + 
       t[35] - 3*t[36] - t[37]/3 + (2*t[38])/3 + (2*t[39])/3 - 
       (17*t[40])/24 + t[41] - t[42] + (9*t[43])/32 - (125*t[44])/48 - 
       (107*t[45])/24 - (3*t[46])/2 + (35*t[47])/4 + (25*t[48])/6 + 
       (421*t[49])/64 - (27*t[50])/4 - (715*t[51])/384 + (71*t[52])/12 - 
       (623*t[53])/192 - (145*t[54])/32 + t[55]/12 + t[56]/4 + t[57]/2 + 
       (5*t[59])/8 + (919*t[60])/96 + (2753*t[61])/96 - (1835*t[62])/64 - 
       (1807*t[63])/192 + (1585*t[64])/192 - (7831*t[65])/288 - 
       (5465*t[66])/288 + (4*t[68])/3 + t[70]/3 - t[71]/3 - t[72]/6 - 
       (8*t[73])/3 + t[74]/2 + (14*t[75])/3 + (11*t[76])/6 + (13*t[77])/6 - 
       (49*t[78])/12 + (2*t[79])/3 + (47*t[80])/4 - (31*t[81])/12 - 2*t[82] - 
       (5*t[83])/2 - (809*t[84])/96 - (383*t[85])/32 + (113*t[86])/24 - 
       (1435*t[87])/96 - (1211*t[88])/192 - (229*t[89])/64 + t[91]/72 - 
       t[93]/6 + 2*t[95] + (31*t[96])/6 + (13*t[97])/4 + 34*t[98] - 
       40*t[99] - (44*t[100])/3) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*(-t[1]/4 - (11*t[2])/6 - (605*t[3])/64 - 
       (4*t[4])/3 - (623*t[5])/96 + (103*t[6])/192 + (1193*t[7])/96 + 
       (391*t[8])/96 + (1009*t[9])/48 - (13*t[10])/6 + (569*t[11])/192 + 
       (191*t[12])/24 + (49*t[13])/192 + (2429*t[14])/192 - 
       (10469*t[15])/3456 - t[20]/3 - (2*t[27])/3 - (3*t[28])/4 + 
       (43*t[29])/48 - (11*t[30])/6 + (9*t[32])/4 - (37*t[33])/12 + 
       (35*t[34])/12 + (3*t[35])/2 + t[36] + (19*t[37])/12 - t[38]/3 + 
       (31*t[39])/12 - (17*t[40])/6 + (13*t[41])/24 - (13*t[42])/24 + 
       t[43]/24 - (11*t[44])/96 - (8*t[45])/3 - t[46]/4 + (17*t[47])/4 + 
       t[48]/64 - t[49]/6 - (337*t[50])/192 - (13*t[51])/48 + 
       (593*t[52])/192 + (3*t[53])/2 + (551*t[54])/192 - t[59]/24 + 
       (1687*t[60])/96 + (289*t[61])/48 - (335*t[62])/32 - (1117*t[63])/96 + 
       (991*t[64])/96 - (497*t[65])/72 - (2587*t[66])/144 - t[70]/6 + 
       t[71]/6 + (2*t[72])/3 - t[73]/2 - t[74]/2 + t[75] + (11*t[76])/2 - 
       (7*t[78])/6 - t[79]/4 + (5*t[80])/3 + (19*t[81])/6 - (7*t[82])/4 - 
       (5*t[83])/3 + (41*t[84])/48 + (15*t[85])/16 + (9*t[86])/4 - 
       (445*t[87])/48 - (175*t[88])/32 - (17*t[89])/192 + t[95]/2 + 
       (13*t[96])/6 + (3*t[97])/2 + 32*t[98] - 37*t[99] - (29*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[w, v, u]*(-t[1]/2 + t[2]/2 - 
       (31*t[3])/8 - (17*t[4])/4 + (11*t[5])/12 + (77*t[6])/24 + (9*t[7])/2 - 
       t[8]/3 + (37*t[9])/6 - (19*t[10])/24 + (29*t[11])/24 + (89*t[12])/24 - 
       (11*t[13])/8 + (413*t[14])/48 + (1097*t[15])/432 - (4*t[28])/3 - 
       t[29]/6 - (2*t[30])/3 + t[31] - (5*t[32])/6 + (10*t[34])/3 + 2*t[35] - 
       t[38] - (3*t[40])/2 + (13*t[44])/12 - (7*t[45])/2 + (5*t[47])/2 - 
       (7*t[48])/24 + (15*t[49])/8 + (11*t[50])/8 - (23*t[51])/16 + 
       (13*t[52])/8 - (15*t[53])/8 - t[54]/24 + (5*t[59])/12 + t[60]/3 + 
       (11*t[61])/12 - (53*t[62])/24 + (325*t[63])/24 - (19*t[64])/8 - 
       (71*t[65])/18 + (8*t[66])/3 + t[72] - t[74]/3 + (7*t[76])/2 - 
       2*t[78] + 3*t[80] + (2*t[81])/3 + t[82]/3 + (4*t[83])/3 - 
       (8*t[84])/3 + (19*t[85])/12 + (8*t[86])/3 - (31*t[87])/4 - 
       (101*t[88])/24 - (23*t[89])/3 + (2*t[95])/3 + t[97]/2 + 24*t[98] - 
       24*t[99] - (29*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      M1[v, u, w]*(-t[1]/2 + (5*t[2])/4 - (5*t[3])/4 - 4*t[4] + 
       (83*t[5])/24 + (43*t[6])/24 + (5*t[7])/4 + (13*t[8])/12 - 
       (19*t[9])/24 - (7*t[10])/12 + (55*t[11])/24 + (85*t[12])/24 - 
       (2*t[13])/3 + (65*t[14])/12 + (1393*t[15])/432 - (2*t[28])/3 - 
       t[29]/3 - t[30]/3 + t[31] - (2*t[32])/3 + (8*t[34])/3 + 2*t[35] - 
       t[38] - (3*t[40])/2 + (7*t[44])/6 - (7*t[45])/2 + (5*t[47])/2 + 
       (13*t[48])/24 + 2*t[49] + (7*t[50])/8 - (3*t[51])/2 + (17*t[52])/8 - 
       2*t[53] - (41*t[54])/24 + t[59]/12 - (97*t[60])/12 + (19*t[61])/12 - 
       t[62]/24 + (497*t[63])/24 + (45*t[64])/8 + (19*t[65])/36 + 
       (15*t[66])/4 + t[72] - (2*t[74])/3 + (7*t[76])/2 - 2*t[78] + 3*t[80] + 
       (5*t[81])/6 + t[82]/6 + (8*t[83])/3 - (55*t[84])/12 - t[85]/12 + 
       (4*t[86])/3 - (17*t[87])/4 - (43*t[88])/24 - (209*t[89])/24 + 
       (4*t[95])/3 + t[97]/2 + 24*t[98] - 24*t[99] - 14*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((17*t[1])/24 - (127*t[2])/48 + (1189*t[3])/384 + (775*t[4])/96 + 
       (89*t[5])/24 - (1773*t[6])/256 - (683*t[7])/192 + (63*t[8])/32 - 
       (3929*t[9])/384 + (905*t[10])/192 + (13135*t[11])/768 - 
       (95*t[12])/192 + (17393*t[13])/3456 - (4285*t[14])/768 + 
       (4439*t[15])/1728 - t[20]/4 + (11*t[28])/12 + (125*t[29])/48 + 
       (5*t[30])/16 - t[31]/6 + (139*t[32])/96 - (89*t[33])/48 - 
       (79*t[34])/24 - (7*t[35])/12 - t[36]/8 - t[37]/8 + (5*t[38])/12 + 
       (15*t[39])/8 - (67*t[40])/48 + (7*t[41])/24 - (7*t[42])/24 - 
       (3*t[43])/16 + (235*t[44])/192 + (9*t[45])/16 + t[46]/8 + 
       (13*t[47])/48 + (1859*t[48])/768 + (227*t[49])/192 - (593*t[50])/768 - 
       (57*t[51])/128 - (431*t[52])/768 + (31*t[53])/64 - (2005*t[54])/256 + 
       (127*t[59])/96 - (2135*t[60])/128 + (3253*t[61])/128 - 
       (10711*t[62])/768 - (2225*t[63])/768 + (11791*t[64])/768 - t[65]/128 - 
       (19475*t[66])/1152 - t[69]/4 - t[70]/4 + t[71]/4 + (7*t[72])/12 + 
       (11*t[73])/24 + (17*t[75])/8 + (229*t[76])/48 + (17*t[77])/24 - 
       (85*t[78])/24 - (23*t[79])/24 + (7*t[80])/24 - (67*t[81])/48 - 
       (103*t[82])/48 - (7*t[83])/8 - (2809*t[84])/384 - (3481*t[85])/384 - 
       (55*t[86])/24 + (4273*t[87])/384 + (2641*t[88])/768 - 
       (4027*t[89])/768 + (5*t[95])/4 + (11*t[96])/4 + (71*t[97])/48 + 
       17*t[98] - (31*t[99])/2 - (109*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((5*t[1])/8 + (437*t[2])/48 - (2653*t[3])/96 - (121*t[4])/16 - 
       (373*t[5])/32 + (1669*t[6])/64 - (365*t[7])/48 + (1339*t[8])/24 + 
       (225*t[9])/16 + (107*t[10])/96 - (4255*t[11])/192 - (19*t[12])/3 - 
       (7403*t[13])/864 + (917*t[14])/72 + (3179*t[15])/1728 + t[20]/3 - 
       t[22]/2 + t[24]/3 + (4*t[27])/3 + t[28]/2 - (19*t[29])/24 - 
       (7*t[30])/2 - (3*t[31])/2 + (95*t[32])/12 + (23*t[33])/12 - 
       (17*t[34])/12 - t[35]/2 - (3*t[36])/2 - (11*t[37])/12 - t[38]/3 - 
       (7*t[39])/6 - (29*t[40])/24 - t[41]/3 + t[42]/3 - (11*t[43])/24 - 
       (23*t[44])/16 + (17*t[45])/4 + t[46]/2 - (11*t[47])/2 + 
       (783*t[48])/64 - (347*t[49])/96 - (119*t[50])/192 + (129*t[51])/64 + 
       (839*t[52])/192 + (91*t[53])/96 + (3979*t[54])/192 - (5*t[59])/12 + 
       (4099*t[60])/96 + (275*t[61])/96 + (593*t[62])/192 - 
       (7697*t[63])/192 - (2015*t[64])/64 + (1795*t[65])/96 + 
       (2455*t[66])/288 + (17*t[70])/6 - (17*t[71])/6 + (7*t[72])/2 + t[73] + 
       (11*t[74])/4 - (25*t[76])/3 + (7*t[77])/12 + (139*t[78])/12 - 
       4*t[80] - t[81]/24 - (53*t[82])/24 - (7*t[83])/6 + (611*t[84])/32 + 
       (847*t[85])/96 + t[86]/2 - (431*t[87])/96 + (715*t[88])/64 + 
       (887*t[89])/64 - (9*t[95])/2 - (22*t[96])/3 - t[97] - 52*t[98] + 
       51*t[99] - (27*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*((17*t[1])/8 - (67*t[2])/8 + 
       (581*t[3])/48 + (221*t[4])/12 - (581*t[5])/48 - (1873*t[6])/96 + 
       (289*t[7])/8 - (182*t[8])/3 + (295*t[9])/24 + (89*t[10])/24 + 
       (695*t[11])/32 - (83*t[12])/16 + (521*t[13])/144 - (35*t[14])/288 - 
       (4403*t[15])/864 - t[19]/2 + t[20]/6 - t[21]/2 + t[22]/2 + t[23]/2 - 
       t[25] + t[26]/2 - t[27] - (10*t[28])/3 - (5*t[29])/4 + (19*t[30])/6 - 
       (3*t[31])/2 - (19*t[32])/12 - (13*t[33])/6 - (77*t[34])/12 - 2*t[35] + 
       t[37]/2 + (13*t[38])/4 + 2*t[39] + 4*t[40] + (3*t[41])/8 - 
       (3*t[42])/8 - t[43] + (289*t[44])/24 + (15*t[45])/2 - t[46]/2 - 
       7*t[47] - (1183*t[48])/96 + (25*t[49])/24 + (773*t[50])/96 + 
       (83*t[51])/48 - (1613*t[52])/96 + (59*t[53])/24 - (327*t[54])/32 + 
       t[59]/2 - (343*t[60])/48 + (2309*t[61])/48 - (2521*t[62])/96 + 
       (155*t[63])/32 - (3799*t[64])/96 - (2813*t[65])/144 - 
       (1289*t[66])/48 - t[70] + t[71] - 2*t[72] - t[73] - t[74]/6 + t[75] - 
       t[76] + t[77]/2 - 8*t[78] + t[79] - 15*t[80] + (7*t[81])/12 - 
       (7*t[82])/12 - t[83]/6 - (89*t[84])/48 - (129*t[85])/16 - 
       (34*t[86])/3 + (25*t[87])/16 - (85*t[88])/96 - (377*t[89])/96 - 
       (5*t[95])/3 + 5*t[96] + t[97] - 18*t[98] + 24*t[99] - 13*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-17*t[1])/12 + (1091*t[2])/24 - (1057*t[3])/96 - (2567*t[4])/48 + 
       (6119*t[5])/288 + (2203*t[6])/288 + (709*t[7])/16 + (7213*t[8])/144 + 
       (10799*t[9])/288 - (23483*t[10])/288 - (5333*t[11])/288 + 
       (1171*t[12])/72 - (5557*t[13])/288 - (1819*t[14])/576 + 
       (8447*t[15])/2592 - (5*t[17])/6 + (8*t[19])/3 - 4*t[20] + 4*t[21] + 
       3*t[22] - 4*t[23] - t[24] - 2*t[25] + t[26] + (7*t[27])/3 - 
       (157*t[28])/18 - (31*t[29])/9 - (395*t[30])/72 + (20*t[31])/3 + 
       (1241*t[32])/72 - (451*t[33])/24 + (839*t[34])/36 + (22*t[35])/3 + 
       9*t[36] + (2*t[37])/3 - (13*t[38])/6 + t[39] - (131*t[40])/12 + 
       (11*t[41])/12 - (11*t[42])/12 + (183*t[43])/16 - (1385*t[44])/72 - 
       (301*t[45])/12 - t[46]/3 + (139*t[47])/6 - (2897*t[48])/288 + 
       (67*t[49])/32 + (697*t[50])/96 + (59*t[51])/192 + (791*t[52])/96 - 
       (425*t[53])/96 - (107*t[54])/288 + t[55]/6 + t[56]/2 - t[57] + 
       (113*t[59])/72 + (134*t[60])/9 - (6085*t[61])/72 - (385*t[62])/288 - 
       (595*t[63])/288 - (257*t[64])/4 + (10025*t[65])/216 + 
       (2461*t[66])/48 + (7*t[68])/3 - 3*t[69] + (8*t[72])/3 + (29*t[73])/6 - 
       (8*t[74])/9 + (41*t[75])/6 - (17*t[76])/6 - (13*t[77])/3 - 
       (91*t[78])/6 + (32*t[79])/3 + (111*t[80])/4 + (47*t[81])/18 + 
       (77*t[82])/9 + (119*t[83])/9 + (491*t[84])/36 + (302*t[85])/9 + 
       (5813*t[86])/72 - (581*t[87])/24 + (307*t[88])/144 - 
       (2089*t[89])/144 + (16*t[95])/9 + t[96] + (19*t[97])/6 + 88*t[98] - 
       94*t[99] - (38*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - w]*((-47*t[2])/24 - (197*t[3])/24 - 
       (121*t[4])/12 - (207*t[5])/16 + (5*t[6])/3 + (43*t[7])/4 + 28*t[8] + 
       (1243*t[9])/48 + (217*t[10])/24 - (469*t[11])/24 + (289*t[12])/48 - 
       (311*t[13])/36 + (68*t[14])/9 - (2275*t[15])/864 - (13*t[20])/3 - 
       5*t[23] - 3*t[24] - (14*t[28])/3 - (7*t[29])/6 - t[30] + 5*t[31] - 
       (31*t[32])/6 + (7*t[33])/3 + (5*t[34])/3 + 10*t[35] + t[41] - t[42] + 
       2*t[44] - (67*t[48])/12 - (89*t[49])/24 + t[50]/12 + (89*t[51])/48 - 
       t[52]/12 + (89*t[53])/24 + (139*t[54])/12 + (3*t[59])/2 + 
       (37*t[60])/4 - (49*t[61])/6 - (63*t[62])/4 - (47*t[63])/24 + 
       (335*t[64])/24 + (5*t[65])/3 + (83*t[66])/6 - t[67]/4 - t[69] - 
       t[70] + t[71] + 4*t[72] + t[74]/2 - 6*t[75] + 2*t[79] - (9*t[81])/2 + 
       (9*t[82])/2 + (139*t[83])/6 + (71*t[84])/12 + (29*t[85])/6 + 
       (88*t[86])/3 + (17*t[87])/2 + (23*t[88])/4 + (33*t[89])/4 - 
       (25*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(3*t[2] - (435*t[3])/8 + (47*t[4])/8 - 
       (1705*t[5])/24 + (767*t[6])/24 + (206*t[7])/3 + (145*t[8])/3 + 
       (543*t[9])/8 + (71*t[10])/48 - (43*t[11])/2 - (79*t[12])/48 - 
       (575*t[13])/24 + (19441*t[14])/288 + (5677*t[15])/432 + t[20] - 
       (35*t[28])/3 + (11*t[29])/4 + 9*t[30] - 5*t[31] + (7*t[32])/2 - 
       (15*t[33])/2 - t[34] - 8*t[35] + (15*t[40])/2 + (55*t[44])/12 - 
       (313*t[48])/24 + (19*t[49])/16 + (709*t[50])/24 - (19*t[51])/32 - 
       (709*t[52])/24 - (19*t[53])/16 + (82*t[54])/3 - (5*t[59])/4 - 
       (389*t[60])/24 + (733*t[61])/8 + (173*t[62])/48 + (4961*t[63])/48 - 
       (5713*t[64])/48 + (472*t[65])/9 + (4381*t[66])/36 - t[69] - 3*t[72] - 
       5*t[73] - t[74] - 11*t[75] - 15*t[76] + 7*t[79] + (11*t[81])/4 - 
       (11*t[82])/4 + (7*t[83])/6 + 12*t[84] + (85*t[85])/8 - (65*t[86])/3 - 
       (121*t[87])/24 - (49*t[88])/48 + (521*t[89])/16 - (25*t[100])/2) + 
     B10[u, v, w]*HPL[{1}, 1 - u]*(t[3] + t[5]/2 + t[7] + 2*t[8] + 
       (3*t[9])/2 - t[10] - t[11] - t[12]/2 - t[14]/6 - (5*t[15])/12 + 
       t[60] - 2*t[61] - t[62] - 2*t[63] + t[64] + t[65]/3 + 2*t[66] + 
       4*t[86] + t[89] - 12*t[100]) + B10[w, u, v]*HPL[{1}, 1 - w]*
      (-t[3] + 4*t[4] - t[5]/2 + t[6] + t[7] - 2*t[8] + t[9]/2 - 2*t[10] + 
       6*t[11] - t[12]/2 + (23*t[13])/6 + (7*t[14])/3 - t[15]/4 + t[49] - 
       t[51]/2 - t[53] - 2*t[54] + 6*t[60] + 6*t[61] - 2*t[62] - 6*t[63] - 
       3*t[64] - (5*t[65])/3 - 11*t[66] + 2*t[81] - 2*t[82] - 2*t[83] + 
       t[84] + 2*t[85] - 4*t[87] - 2*t[88] + t[89] - 12*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-57*t[3])/8 - (151*t[5])/16 + (25*t[6])/8 + 16*t[7] + (37*t[8])/8 + 
       (177*t[9])/16 - (7*t[10])/8 - (9*t[11])/4 + (7*t[12])/16 - 
       (27*t[13])/8 + (697*t[14])/48 + (781*t[15])/288 - (11*t[28])/2 - 
       (33*t[29])/8 - (3*t[30])/2 + (25*t[44])/8 - (17*t[48])/2 + 
       (47*t[50])/8 - (47*t[52])/8 + (25*t[54])/8 - 8*t[60] + (99*t[61])/4 - 
       (119*t[62])/16 + (199*t[63])/16 - (85*t[64])/8 + (259*t[65])/24 + 
       (193*t[66])/24 - (3*t[73])/2 - (15*t[75])/2 + (3*t[79])/2 + 10*t[83] + 
       (27*t[84])/8 + (27*t[85])/8 + (7*t[86])/2 + 8*t[87] + 4*t[88] + 
       (9*t[89])/4 - 12*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*((11*t[2])/8 - 5*t[3] + (17*t[4])/8 - 
       (3*t[5])/4 - (31*t[6])/8 + (3*t[7])/2 - (69*t[8])/8 - (17*t[9])/8 + 
       t[10]/16 + 8*t[11] + (5*t[12])/16 + (14*t[13])/3 + (545*t[14])/96 + 
       (67*t[15])/72 - 2*t[20] - 4*t[28] - (11*t[29])/2 - (3*t[30])/4 - 
       (37*t[32])/4 + (29*t[33])/4 - 2*t[34] - 3*t[35] + (3*t[44])/2 - 
       (23*t[48])/4 + t[49]/16 + t[50]/8 - t[51]/32 - t[52]/8 - t[53]/16 - 
       4*t[54] - (3*t[59])/4 + (39*t[60])/8 + 14*t[61] - (213*t[62])/16 - 
       (107*t[63])/16 + (31*t[64])/8 - (11*t[65])/8 - (245*t[66])/8 - 
       (3*t[73])/2 + (3*t[74])/2 - (15*t[75])/2 + (3*t[79])/2 + (3*t[81])/4 - 
       (3*t[82])/4 + 10*t[83] + (35*t[84])/8 + (7*t[85])/2 + (7*t[86])/2 + 
       (63*t[87])/8 + (63*t[88])/16 + (111*t[89])/16 - 12*t[100]) + 
     HPL[{0, 1}, 1 - u]*Ot[u, v, w]*(-t[1]/2 - (67*t[2])/24 + (671*t[3])/24 + 
       (229*t[4])/24 + (647*t[5])/48 - (2017*t[6])/96 - (67*t[7])/12 - 
       (811*t[8])/24 - (203*t[9])/12 + (143*t[10])/48 + (2201*t[11])/96 + 
       (7*t[12])/2 + (2179*t[13])/216 - (541*t[14])/72 - (1961*t[15])/432 + 
       (4*t[24])/3 - (4*t[27])/3 - t[28] + (7*t[29])/6 + (11*t[30])/3 - 
       (53*t[32])/6 + (5*t[33])/6 + 4*t[34] + 2*t[35] - 2*t[36] + t[37]/6 - 
       (2*t[38])/3 + (5*t[39])/3 - (5*t[40])/12 + t[41]/12 - t[42]/12 + 
       t[43]/12 - (31*t[44])/12 - (37*t[45])/6 - t[46]/2 + 6*t[47] - 
       (341*t[48])/32 + (107*t[49])/16 - (129*t[50])/32 - (293*t[51])/96 + 
       (323*t[52])/96 - (193*t[53])/48 - (639*t[54])/32 - (5*t[59])/6 - 
       (1385*t[60])/48 - (307*t[61])/48 - (305*t[62])/96 + (3001*t[63])/96 + 
       (2557*t[64])/96 - (4189*t[65])/144 - (3635*t[66])/144 - (7*t[70])/3 + 
       (7*t[71])/3 + (8*t[72])/3 - 2*t[73] - (3*t[74])/2 + 2*t[75] + 
       (49*t[76])/6 - (7*t[77])/6 - (71*t[78])/6 + (17*t[80])/3 + 
       (9*t[81])/4 + (17*t[82])/12 + (8*t[83])/3 - (781*t[84])/48 - 
       (331*t[85])/48 - t[86] - (581*t[87])/48 - (567*t[88])/32 - 
       (2059*t[89])/96 + 5*t[95] + (19*t[96])/3 + t[97] + 52*t[98] - 
       54*t[99] - 12*t[100]) + HPL[{0, 1}, 1 - w]*Ot[u, v, w]*
      (-t[1]/2 - (193*t[2])/24 + (1145*t[3])/48 + (37*t[4])/8 + 
       (81*t[5])/16 - (673*t[6])/32 + (517*t[7])/24 - (677*t[8])/12 + 
       (31*t[9])/8 - (235*t[10])/48 + (2027*t[11])/96 + (55*t[12])/12 + 
       (4297*t[13])/432 - (139*t[14])/36 + (581*t[15])/864 - (4*t[20])/3 - 
       (4*t[24])/3 - (4*t[27])/3 + (11*t[29])/12 + t[30] - (49*t[32])/6 - 
       (7*t[33])/6 + (5*t[34])/3 + 2*t[36] + t[37]/6 - (2*t[38])/3 + 
       (8*t[39])/3 + t[40]/12 + t[41]/12 - t[42]/12 + t[43]/12 + 
       (23*t[44])/8 - (13*t[45])/2 - t[46]/2 + 7*t[47] - (347*t[48])/32 + 
       (139*t[49])/48 + (355*t[50])/96 - (53*t[51])/32 - (547*t[52])/96 - 
       (11*t[53])/48 - (1607*t[54])/96 + (5*t[59])/3 - (1967*t[60])/48 + 
       (569*t[61])/48 - (781*t[62])/96 + (5005*t[63])/96 + (443*t[64])/32 - 
       (467*t[65])/48 - (683*t[66])/144 - (7*t[70])/3 + (7*t[71])/3 - 
       2*t[73] - (5*t[74])/2 + 2*t[75] + (47*t[76])/6 - (5*t[77])/6 - 
       (65*t[78])/6 - 4*t[79] + 7*t[80] + (17*t[81])/12 + (31*t[82])/12 + 
       (8*t[83])/3 - (239*t[84])/16 - (407*t[85])/48 + 3*t[86] - 
       (281*t[87])/48 - (467*t[88])/32 - (571*t[89])/32 + 5*t[95] + 
       (19*t[96])/3 + t[97] + 52*t[98] - 54*t[99] - 12*t[100]) + 
     D27[v, w, u]*(-t[3]/2 - (11*t[5])/2 + (7*t[6])/2 + 6*t[7] - 6*t[8] + 
       11*t[9] - t[10] - (3*t[11])/2 + 3*t[12] + (7*t[13])/3 + 7*t[14] - 
       (5*t[15])/3 + t[32] + t[34] - 4*t[45] + 4*t[47] - (7*t[48])/2 + 
       t[50]/2 - t[52]/2 + (5*t[54])/2 + 9*t[60] - 4*t[61] + (9*t[62])/2 - 
       t[63]/2 - 11*t[64] + 3*t[65] + (8*t[66])/3 + 4*t[76] - 2*t[78] + 
       4*t[80] + 2*t[81] + t[84] + 5*t[85] - 12*t[87] - 5*t[88] + 24*t[98] - 
       24*t[99] - 12*t[100]) + D27[v, u, w]*((5*t[2])/2 - (3*t[3])/2 + 
       9*t[4] - (3*t[5])/2 - 2*t[6] + 5*t[7] - t[8] + (5*t[9])/2 + 
       (5*t[10])/2 + 7*t[11] - (5*t[12])/2 + 4*t[13] + (5*t[14])/4 - 
       (13*t[15])/6 + (5*t[49])/2 - t[50] - (5*t[51])/4 + t[52] - 
       (3*t[53])/2 - 2*t[54] - t[59]/2 + 3*t[60] + (9*t[61])/2 - 5*t[62] - 
       7*t[63] - 3*t[64] - (61*t[65])/3 - 17*t[66] + 4*t[76] - 8*t[78] + 
       t[84] + 2*t[85] - 7*t[87] - (5*t[88])/2 + t[89] + 4*t[96] + 24*t[98] - 
       24*t[99] - 12*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((3*t[1])/2 - 4*t[2] - 10*t[3] - 5*t[4] - 
       (529*t[5])/16 - (143*t[6])/8 + (427*t[7])/8 - (233*t[8])/8 + 
       (409*t[9])/16 + (117*t[10])/8 + (191*t[11])/8 + t[12]/16 - 
       (6503*t[13])/144 + (1003*t[14])/48 + (289*t[15])/288 - t[18] + t[22] - 
       2*t[28] + 3*t[29] - (3*t[30])/2 - 2*t[31] + 9*t[32] - 3*t[34] + 
       8*t[35] - 10*t[36] + t[37] - t[39] + (5*t[40])/2 + t[41]/2 - t[42]/2 - 
       2*t[43] + 9*t[44] - 2*t[45] + 3*t[46] + 3*t[47] - (15*t[48])/2 + 
       (19*t[49])/4 + (59*t[50])/2 - (29*t[51])/8 - (51*t[52])/2 - 
       (19*t[53])/4 - (41*t[54])/4 + (3*t[59])/2 - 85*t[60] + 87*t[61] - 
       102*t[62] + 71*t[63] + (169*t[64])/8 - 9*t[65] + (49*t[66])/3 + 
       4*t[68] + 2*t[69] + 2*t[70] - 2*t[71] + 4*t[72] - 4*t[73] + 2*t[74] - 
       3*t[75] - 14*t[76] - (9*t[77])/2 - 6*t[80] - 17*t[81] - (21*t[82])/2 + 
       31*t[83] - (47*t[84])/4 - (31*t[85])/4 + 54*t[86] + (101*t[87])/4 + 
       (177*t[88])/8 - (151*t[89])/4 - 4*t[95] - 2*t[96] + 2*t[97] - 
       48*t[98] + 36*t[99] - 12*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((-22*t[2])/3 - (53*t[3])/8 - 
       (133*t[4])/8 + (55*t[5])/2 + (137*t[6])/4 - 44*t[7] + 102*t[8] - 
       (177*t[9])/4 - (181*t[10])/16 - 13*t[11] + (215*t[12])/16 - 
       (29*t[13])/6 + (1397*t[14])/96 + (1333*t[15])/72 + t[17]/2 + t[18] + 
       (4*t[19])/3 - 3*t[20] + 2*t[21] + 2*t[22] - 2*t[23] + t[24] + t[26] + 
       8*t[28] - (13*t[29])/2 - (47*t[30])/2 + 3*t[31] - 9*t[32] + 15*t[33] - 
       11*t[34] - 3*t[35] + 10*t[36] + 3*t[37] - t[38] + t[39] - 
       (13*t[40])/4 + 3*t[41] - (5*t[42])/2 - (55*t[44])/4 + 3*t[45] - 
       3*t[46] + 3*t[47] + (79*t[48])/4 - (251*t[49])/16 - (127*t[50])/4 + 
       (179*t[51])/32 + (143*t[52])/4 + (251*t[53])/16 + (273*t[54])/8 + 
       (145*t[59])/12 + (69*t[60])/8 + (715*t[61])/8 + (287*t[62])/16 - 
       (771*t[63])/16 + (381*t[64])/16 + (1129*t[65])/24 - (185*t[66])/24 + 
       t[67]/2 - 4*t[68] + 2*t[69] - t[70] + t[71] + 10*t[72] - 2*t[73] + 
       t[74] + 10*t[75] - (49*t[76])/4 + t[77] + 14*t[78] - 19*t[79] - 
       16*t[80] - 15*t[81] + 2*t[82] - (59*t[83])/2 + (97*t[84])/8 - 
       (101*t[85])/8 - 40*t[86] - (47*t[87])/8 + (105*t[88])/16 + 
       (287*t[89])/16 - 4*t[95] - 2*t[96] + 2*t[97] - 48*t[98] + 36*t[99] - 
       12*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-25*t[1])/8 + (689*t[2])/48 + (1145*t[3])/96 - 
       (977*t[4])/48 + (701*t[5])/48 - (97*t[6])/64 - (1447*t[7])/24 - 
       (11*t[8])/12 - (1931*t[9])/32 - (1799*t[10])/96 - (3689*t[11])/192 - 
       (725*t[12])/96 - (2087*t[13])/864 - (13919*t[14])/288 - 
       (779*t[15])/144 - (3*t[20])/2 + t[22] + t[24]/2 + (4*t[27])/3 + 
       (23*t[28])/6 - (25*t[29])/3 + (28*t[30])/3 - (23*t[31])/6 - 
       (139*t[32])/48 + t[33] + (109*t[34])/12 + 2*t[35] - (7*t[36])/12 - 
       (13*t[37])/12 - (5*t[38])/2 - (16*t[39])/3 + t[40]/3 - (19*t[41])/12 + 
       (19*t[42])/12 - (9*t[43])/8 - (31*t[44])/16 - (11*t[45])/4 + t[46]/2 - 
       (11*t[47])/6 + (1267*t[48])/192 - (701*t[49])/96 - (267*t[50])/64 + 
       (709*t[51])/192 + (699*t[52])/64 - (155*t[53])/96 - (1111*t[54])/192 - 
       (127*t[59])/24 - (2261*t[60])/96 - (8801*t[61])/96 + 
       (9137*t[62])/192 + (3049*t[63])/64 + (17311*t[64])/192 + 
       (7499*t[65])/288 + (5819*t[66])/96 + (13*t[70])/6 - (13*t[71])/6 + 
       (8*t[72])/3 - (143*t[73])/12 + (3*t[74])/4 + (395*t[75])/12 - 
       (67*t[76])/6 - (13*t[77])/6 + (173*t[78])/6 - (43*t[79])/6 - 
       (5*t[80])/2 + (55*t[81])/8 - (7*t[82])/8 - (20*t[83])/3 + 
       (47*t[84])/96 - (117*t[85])/32 + (149*t[86])/6 + (305*t[87])/96 - 
       (239*t[88])/192 - (4381*t[89])/192 + (13*t[95])/6 - (35*t[96])/3 - 
       (85*t[97])/12 - 51*t[98] + 66*t[99] - 12*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*
      (-t[1]/2 - (3*t[2])/16 - (425*t[3])/96 - (179*t[4])/24 - 
       (535*t[5])/96 + (527*t[6])/96 + (105*t[7])/8 + (433*t[8])/48 + 
       (1609*t[9])/96 - (23*t[10])/12 - (107*t[11])/32 + (157*t[12])/32 - 
       (87*t[13])/16 + (925*t[14])/72 + (593*t[15])/432 + (5*t[20])/12 - 
       t[23]/2 - t[24]/2 - (17*t[28])/6 + (3*t[29])/8 - (43*t[30])/12 + 
       (3*t[31])/2 + (5*t[32])/12 - (23*t[33])/12 + (29*t[34])/6 + 5*t[35] + 
       t[36]/2 - t[38] - (3*t[40])/2 + t[43]/4 - t[44]/12 - (7*t[45])/2 + 
       (5*t[47])/2 - (49*t[48])/96 + (31*t[49])/24 + (209*t[50])/96 - 
       (55*t[51])/48 + (79*t[52])/96 - (31*t[53])/24 + (127*t[54])/32 + 
       (3*t[59])/4 + (245*t[60])/48 - (7*t[61])/12 - (733*t[62])/96 + 
       (239*t[63])/32 - (281*t[64])/48 - (26*t[65])/9 + (43*t[66])/6 + 
       t[69]/2 + t[72] + (3*t[73])/4 - (5*t[74])/12 - (7*t[75])/4 + 
       (7*t[76])/2 - t[77]/2 - (5*t[78])/2 - (3*t[79])/4 + 4*t[80] - 
       (7*t[81])/24 + (31*t[82])/24 + (61*t[83])/12 + (17*t[84])/24 + 
       (89*t[85])/16 + (155*t[86])/12 - (95*t[87])/8 - (287*t[88])/48 - 
       (731*t[89])/96 - (2*t[95])/3 + t[97]/2 + 24*t[98] - 24*t[99] - 
       (23*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v]*((175*t[2])/96 - (1355*t[3])/288 - 
       (95*t[4])/288 - (221*t[5])/576 - (279*t[6])/32 + (2339*t[7])/144 - 
       (1987*t[8])/72 + (5017*t[9])/576 + (187*t[10])/576 + 
       (2753*t[11])/288 - (23*t[12])/32 + (911*t[13])/864 + 
       (44795*t[14])/3456 + (13231*t[15])/10368 - (5*t[20])/18 + 
       (5*t[23])/12 + (5*t[24])/12 - (437*t[28])/72 - (1387*t[29])/288 - 
       (179*t[30])/48 - (317*t[32])/144 + (37*t[33])/144 + (7*t[34])/18 - 
       (5*t[35])/4 - (5*t[40])/8 + (683*t[44])/288 - (311*t[48])/32 - 
       (175*t[49])/576 + (647*t[50])/96 + (175*t[51])/1152 - (647*t[52])/96 + 
       (175*t[53])/576 - (73*t[54])/9 - (85*t[59])/144 + (3841*t[60])/288 + 
       (2035*t[61])/144 - (577*t[62])/36 + (79*t[63])/36 - (593*t[64])/32 - 
       (7943*t[65])/432 - (11657*t[66])/432 + (5*t[72])/12 - 3*t[73] + 
       (47*t[74])/24 - (15*t[75])/2 + (5*t[76])/4 + (35*t[79])/12 - 
       (5*t[81])/16 + (5*t[82])/16 + (112*t[83])/9 + (581*t[84])/144 + 
       (827*t[85])/288 - (43*t[86])/36 - (1483*t[87])/288 - 
       (1003*t[88])/576 - (379*t[89])/64 - (8*t[95])/3 - (34*t[100])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-12*t[1] - (1001*t[2])/24 + (1357*t[3])/12 + (53*t[4])/8 + 
       (25*t[5])/4 - (371*t[6])/8 + (1111*t[7])/12 - (799*t[8])/3 + 
       (65*t[9])/2 - (3071*t[10])/48 + (2353*t[11])/24 + (3911*t[12])/48 + 
       (4597*t[13])/216 + (12479*t[14])/288 - (2287*t[15])/432 - 4*t[17] + 
       2*t[18] + 2*t[19] + (64*t[20])/3 - 6*t[21] - 12*t[22] + 6*t[23] - 
       (23*t[24])/3 - (44*t[27])/3 - 6*t[28] + (77*t[29])/6 - 13*t[30] + 
       8*t[31] - (118*t[32])/3 - (77*t[33])/6 + (88*t[34])/3 + 6*t[35] + 
       8*t[36] + (13*t[37])/3 - (16*t[38])/3 + (7*t[39])/3 - (28*t[40])/3 - 
       (5*t[41])/6 - t[42]/6 + (49*t[43])/24 + t[44]/4 - (147*t[45])/2 - 
       7*t[46] + 93*t[47] - (501*t[48])/8 + (1319*t[49])/48 + 
       (437*t[50])/24 - (457*t[51])/32 - (197*t[52])/24 - (871*t[53])/48 - 
       (451*t[54])/6 - t[55]/2 - t[56] - 2*t[57] + (16*t[59])/3 - 
       (973*t[60])/12 - (505*t[61])/24 - (649*t[62])/12 + (5081*t[63])/24 + 
       (733*t[64])/16 - (339*t[65])/8 + (3619*t[66])/72 + 8*t[68] - 
       (38*t[70])/3 + (38*t[71])/3 - 2*t[72] - 20*t[73] - 22*t[74] + 
       24*t[75] + (145*t[76])/6 - (29*t[77])/3 - (23*t[78])/3 - 28*t[79] + 
       45*t[80] + (217*t[81])/12 - (133*t[82])/12 - (56*t[83])/3 - 
       (541*t[84])/8 - (131*t[85])/6 + (101*t[86])/2 - (647*t[87])/6 - 
       (451*t[88])/4 - (1569*t[89])/16 + t[91]/6 + 2*t[93] + 24*t[95] + 
       (80*t[96])/3 + 5*t[97] + 320*t[98] - 324*t[99] - 11*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      (2*t[1] + (155*t[2])/12 - (17*t[3])/3 + (89*t[4])/4 - 3*t[5] + 
       (81*t[6])/16 - (83*t[7])/3 + (281*t[8])/12 - (205*t[9])/8 + 
       (395*t[10])/24 + (209*t[11])/48 - (539*t[12])/24 + (391*t[13])/54 - 
       (799*t[14])/72 + (437*t[15])/432 + (4*t[20])/3 - (2*t[24])/3 + 
       (4*t[27])/3 + t[28] - (2*t[29])/3 + 5*t[30] - t[31] + (13*t[32])/6 + 
       (11*t[33])/3 - (20*t[34])/3 - 4*t[36] - (11*t[37])/3 + (5*t[38])/3 - 
       (17*t[39])/3 + (43*t[40])/6 - (5*t[41])/6 + (5*t[42])/6 + t[43]/6 - 
       t[44] + 13*t[45] + t[46] - 15*t[47] + (99*t[48])/16 + (13*t[49])/24 + 
       (37*t[50])/48 + (29*t[51])/16 - (325*t[52])/48 - (77*t[53])/24 + 
       (67*t[54])/48 - (13*t[59])/6 + (313*t[60])/24 + (407*t[61])/24 + 
       (119*t[62])/48 - (1631*t[63])/48 - (539*t[64])/16 + (145*t[65])/24 - 
       (1235*t[66])/72 + (4*t[70])/3 - (4*t[71])/3 + 4*t[73] + 2*t[74] - 
       5*t[75] - (40*t[76])/3 + (4*t[77])/3 + (31*t[78])/3 + 6*t[79] - 
       9*t[80] - (13*t[81])/6 - (29*t[82])/6 + (4*t[83])/3 + (103*t[84])/8 - 
       (53*t[85])/24 - 2*t[86] + (613*t[87])/24 + (311*t[88])/16 + 
       (269*t[89])/16 - 4*t[95] - (16*t[96])/3 - 3*t[97] - 88*t[98] + 
       102*t[99] - 11*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((125*t[2])/12 + (397*t[3])/48 + (13*t[4])/4 + 
       (315*t[5])/32 - (11*t[6])/32 - (319*t[7])/24 + (455*t[8])/48 - 
       (475*t[9])/32 - (353*t[10])/48 + (931*t[11])/96 - (173*t[12])/96 + 
       (191*t[13])/27 - (517*t[14])/72 + (6083*t[15])/1728 + t[20]/3 + 
       t[24]/3 + t[27]/3 + t[28]/4 - (11*t[29])/48 - t[30]/2 + (3*t[31])/4 + 
       (13*t[32])/6 - (5*t[33])/6 - (2*t[34])/3 + (5*t[35])/2 + t[36] - 
       (5*t[37])/3 + t[38]/6 - (7*t[39])/6 + (7*t[40])/24 - (5*t[41])/6 + 
       (5*t[42])/6 + (2*t[43])/3 - (25*t[44])/16 + (3*t[45])/2 - 
       (7*t[47])/2 + (41*t[48])/32 - t[49]/3 - (235*t[50])/96 + (5*t[51])/8 + 
       (235*t[52])/96 - t[53]/3 - (565*t[54])/96 - (5*t[59])/12 + 
       (197*t[60])/48 - (257*t[61])/48 + (89*t[62])/48 - (773*t[63])/48 - 
       (335*t[64])/32 - (17*t[65])/8 - (1199*t[66])/72 + t[70]/3 - t[71]/3 + 
       t[72]/4 + t[73]/4 - t[74]/2 + (3*t[75])/4 - (25*t[76])/12 - 
       (7*t[77])/6 + (7*t[78])/3 - (5*t[79])/4 + (3*t[80])/2 - (8*t[81])/3 + 
       t[82]/6 + (31*t[83])/12 - (7*t[84])/8 - (47*t[85])/24 + (35*t[86])/4 + 
       (377*t[87])/48 + (179*t[88])/32 - (231*t[89])/32 - t[95] - 
       (4*t[96])/3 - t[97]/2 - 16*t[98] + 24*t[99] - (21*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      ((-13*t[2])/16 - (31*t[3])/48 + (343*t[4])/48 + (265*t[5])/48 + 
       (1069*t[6])/96 - (91*t[7])/6 + (833*t[8])/48 - (493*t[9])/48 - 
       (85*t[10])/96 - (359*t[11])/96 - (133*t[12])/32 + (100*t[13])/27 - 
       (2419*t[14])/576 + (607*t[15])/864 + t[20]/2 + (3*t[23])/4 + 
       (5*t[24])/12 + t[27]/3 + 3*t[28] + t[29]/12 - t[30]/24 - (3*t[31])/4 + 
       (59*t[32])/24 + t[33]/24 - (3*t[34])/2 - 3*t[35] - t[36] - t[37]/6 + 
       t[38]/6 - (7*t[39])/6 + (7*t[40])/6 - t[41]/12 + t[42]/12 - 
       (7*t[43])/12 - (47*t[44])/12 + (7*t[45])/6 - t[47] + (319*t[48])/32 + 
       (21*t[49])/32 - (167*t[50])/32 - (47*t[51])/192 + (469*t[52])/96 - 
       (127*t[53])/96 + (177*t[54])/32 + (3*t[59])/8 + (97*t[60])/24 - 
       (77*t[61])/48 + (1069*t[62])/48 - (329*t[63])/48 - (1105*t[64])/96 + 
       (545*t[65])/72 + (985*t[66])/72 + t[70]/3 - t[71]/3 - (2*t[72])/3 - 
       t[73]/4 + (3*t[74])/4 + (15*t[75])/4 - (47*t[76])/12 + (7*t[77])/6 + 
       (16*t[78])/3 + t[79]/4 - (8*t[80])/3 - t[81]/8 - (25*t[82])/24 - 
       (101*t[83])/12 + (35*t[84])/24 - (47*t[85])/48 - (71*t[86])/4 - 
       (31*t[87])/12 + (3*t[88])/8 + (29*t[89])/3 - t[95] - (4*t[96])/3 - 
       t[97]/2 - 16*t[98] + 24*t[99] - (21*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((179*t[2])/48 + (271*t[3])/24 + (235*t[4])/48 + (6113*t[5])/288 - 
       (8951*t[6])/576 - (1603*t[7])/144 - (4175*t[8])/144 - (253*t[9])/16 - 
       (677*t[10])/288 + (4625*t[11])/192 - (10*t[12])/9 + (328*t[13])/27 - 
       (3401*t[14])/216 - (7159*t[15])/2592 - t[20]/2 + t[22]/2 + t[24]/6 - 
       t[27]/6 + (35*t[28])/18 + (5*t[29])/4 - (7*t[30])/6 + (4*t[31])/3 + 
       (7*t[32])/48 - (5*t[33])/6 - t[34]/2 + (19*t[35])/6 - t[36]/4 + 
       t[37]/12 + t[38]/6 - t[39]/6 - (85*t[40])/48 - (5*t[41])/24 + 
       (5*t[42])/24 + (7*t[43])/24 - (71*t[44])/144 + (7*t[45])/6 + t[46]/8 - 
       (5*t[47])/4 + (235*t[48])/576 + (17*t[49])/32 - (2569*t[50])/576 + 
       (19*t[51])/192 + (1801*t[52])/576 - (19*t[53])/96 - (9119*t[54])/576 - 
       t[59]/6 + (3877*t[60])/288 - (1049*t[61])/96 - (8233*t[62])/576 - 
       (16999*t[63])/576 + (12239*t[64])/576 - (21307*t[65])/864 - 
       (49969*t[66])/864 - t[69]/2 - t[70]/6 + t[71]/6 + (19*t[72])/6 + 
       t[73] + (11*t[75])/6 + (13*t[76])/3 - t[77]/12 + (7*t[78])/3 - 
       (7*t[79])/2 - (2*t[80])/3 - (5*t[82])/3 + (95*t[83])/36 - 
       (317*t[84])/96 - (689*t[85])/96 + (209*t[86])/18 - (91*t[87])/288 - 
       (571*t[88])/576 - (3187*t[89])/192 + t[95]/2 + (2*t[96])/3 - 7*t[98] + 
       8*t[99] - (61*t[100])/6) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      Omega2[v, w, u]*((19*t[2])/6 + (439*t[3])/24 - (17*t[4])/12 + 
       (101*t[5])/6 - (71*t[6])/24 - (53*t[7])/12 - (19*t[8])/12 - 
       (41*t[9])/6 - (73*t[10])/24 + (67*t[11])/24 + (41*t[12])/8 + 
       (707*t[13])/216 - (379*t[14])/144 + (671*t[15])/432 - t[20] + t[22] + 
       (2*t[24])/3 - (2*t[27])/3 - (7*t[29])/6 + (4*t[30])/3 - (19*t[32])/6 + 
       (2*t[33])/3 - 4*t[35] + t[36] - (2*t[37])/3 - t[38]/3 + (7*t[39])/3 - 
       (7*t[40])/3 - t[41]/3 + t[42]/3 + t[43]/6 + t[44]/12 - (7*t[45])/3 - 
       t[46]/2 + t[47] - (11*t[48])/8 + (11*t[49])/8 - (55*t[50])/8 - 
       (59*t[51])/48 + (181*t[52])/24 - t[53]/24 - (41*t[54])/8 + 
       (5*t[59])/6 - (97*t[60])/12 - (32*t[61])/3 + (455*t[62])/24 + 
       (281*t[63])/24 - (62*t[64])/3 - (251*t[65])/36 + (11*t[66])/36 - 
       t[69] - (2*t[70])/3 + (2*t[71])/3 + t[72]/3 - t[74] - 3*t[75] + 
       (19*t[76])/3 - (4*t[77])/3 - (32*t[78])/3 + 4*t[79] + (7*t[80])/3 + 
       (16*t[82])/3 - (19*t[83])/6 - (26*t[84])/3 - (14*t[85])/3 - 12*t[86] - 
       (35*t[87])/6 - (25*t[88])/4 - (215*t[89])/24 + 2*t[95] + (8*t[96])/3 + 
       t[97] + 32*t[98] - 28*t[99] - 10*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      ((14*t[2])/3 + (113*t[3])/24 + (63*t[4])/4 - (5*t[5])/2 - (67*t[6])/8 + 
       (271*t[7])/12 - (415*t[8])/12 + 17*t[9] - (55*t[10])/24 + 
       (685*t[11])/24 + (13*t[12])/24 + (3397*t[13])/216 + (1495*t[14])/144 + 
       (1277*t[15])/432 + t[20]/3 - t[22] - (2*t[24])/3 - (2*t[27])/3 - 
       t[29]/6 + 4*t[30] - (11*t[32])/6 - (4*t[33])/3 + (4*t[34])/3 - t[36] - 
       (2*t[37])/3 - t[38]/3 + (7*t[39])/3 - (4*t[40])/3 - t[41]/3 + 
       t[42]/3 + t[43]/6 + (29*t[44])/4 - 3*t[45] + t[46]/2 + 3*t[47] - 
       (69*t[48])/8 + (139*t[49])/24 + (149*t[50])/24 - (43*t[51])/16 - 
       (149*t[52])/24 - (107*t[53])/24 - (397*t[54])/24 - t[59]/6 + 
       (17*t[60])/12 + (64*t[61])/3 - (287*t[62])/24 + (503*t[63])/24 - 
       43*t[64] - (179*t[65])/12 - (1387*t[66])/36 + t[69] - (2*t[70])/3 + 
       (2*t[71])/3 - t[72] - t[74] + t[75] + (17*t[76])/3 + (4*t[77])/3 - 
       (14*t[78])/3 - 4*t[79] + 5*t[80] + (16*t[81])/3 - (10*t[82])/3 - 
       t[83]/6 - 6*t[84] - t[85]/3 - 8*t[86] - (89*t[87])/6 - (43*t[88])/4 - 
       (67*t[89])/8 + 2*t[95] + (8*t[96])/3 + t[97] + 32*t[98] - 28*t[99] - 
       10*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]^2*
      ((-5*t[1])/8 + (287*t[2])/48 + (215*t[3])/192 - (23*t[4])/24 - 
       (569*t[5])/96 + (219*t[6])/128 + (557*t[7])/96 + (125*t[8])/48 + 
       (463*t[9])/64 + t[10]/12 + (381*t[11])/128 + (209*t[12])/96 + 
       (17*t[13])/576 + (6755*t[14])/1152 + (533*t[15])/432 - t[18]/3 + 
       t[20]/3 - t[23]/2 - t[24]/2 - t[28]/12 - (3*t[29])/16 + (5*t[30])/8 - 
       (7*t[32])/48 - (19*t[33])/12 + (23*t[34])/6 + (11*t[35])/6 + t[36]/4 - 
       t[37]/4 - (3*t[38])/4 + (5*t[39])/4 - (19*t[40])/12 - t[41]/4 + 
       t[42]/4 - t[43]/8 + (59*t[44])/32 - (3*t[45])/2 + t[46]/4 + 
       (3*t[47])/4 - (1693*t[48])/384 + (17*t[49])/48 + (511*t[50])/384 - 
       (65*t[51])/96 - (31*t[52])/384 - (17*t[53])/48 + (27*t[54])/128 - 
       (5*t[59])/12 - (665*t[60])/192 + (1183*t[61])/192 - (2455*t[62])/384 + 
       (1733*t[63])/128 - (1433*t[64])/384 - (1469*t[65])/576 - 
       (709*t[66])/192 - t[67]/24 - t[69]/12 - t[70]/3 + t[71]/3 + t[72] - 
       (3*t[73])/4 - t[74]/3 + (41*t[75])/12 + (5*t[76])/2 - (3*t[77])/4 - 
       (5*t[78])/4 - (35*t[79])/12 + t[80]/2 + (47*t[81])/24 - 
       (23*t[82])/24 + (31*t[83])/8 - (133*t[84])/192 + (127*t[85])/192 + 
       (67*t[86])/12 + (25*t[87])/192 - (791*t[88])/384 - (3287*t[89])/384 + 
       t[95]/2 + t[96]/2 + 12*t[98] - 9*t[99] - 10*t[100]) + 
     D36[u, v, w]*(-t[1]/12 + (9*t[2])/8 - (119*t[3])/48 + (7*t[4])/8 - 
       (73*t[5])/48 + (7*t[6])/3 + (19*t[7])/24 + (79*t[8])/24 + 
       (25*t[9])/16 - (89*t[10])/48 - t[11]/12 - (5*t[12])/12 + 
       (31*t[13])/144 + (161*t[14])/96 + (55*t[15])/108 + t[23]/3 - t[29]/4 - 
       t[30]/6 + (7*t[32])/12 + t[33]/6 + t[34]/6 - t[37]/6 + t[40]/3 - 
       t[43]/12 + t[44]/8 + t[45]/3 - t[47]/2 + (5*t[48])/8 - (5*t[49])/16 + 
       (7*t[50])/24 + (5*t[51])/32 - (11*t[52])/24 + (5*t[53])/16 + 
       (43*t[54])/24 - t[59]/6 + (119*t[60])/24 + (31*t[61])/6 - 
       (13*t[62])/24 - (13*t[63])/8 - (127*t[64])/24 - (13*t[65])/72 - 
       (15*t[66])/8 + t[70]/3 - t[71]/3 + t[74]/6 - (2*t[76])/3 - t[77]/6 + 
       t[78] - t[80]/3 + t[81]/12 - t[82]/4 + (21*t[84])/8 + (3*t[85])/4 - 
       t[86]/3 - (5*t[87])/2 + (5*t[88])/12 + (9*t[89])/16 - t[95]/3 - 
       t[96]/3 - t[97]/6 - 4*t[98] + 6*t[99] - 10*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((3*t[1])/8 + (65*t[2])/96 - (49*t[3])/48 + (35*t[4])/96 - 
       (25*t[5])/32 + (1693*t[6])/768 + (205*t[7])/48 + (503*t[8])/192 + 
       (1315*t[9])/384 + (227*t[10])/192 + (2635*t[11])/768 - (61*t[12])/96 + 
       (1033*t[13])/864 + (11153*t[14])/2304 + (15493*t[15])/6912 - t[20]/3 - 
       t[23]/4 - (5*t[24])/12 - t[27]/6 - t[28]/12 - t[29]/4 - (7*t[30])/16 - 
       t[31]/4 - (11*t[32])/12 + (43*t[33])/48 - (5*t[34])/6 - (3*t[35])/4 - 
       (13*t[37])/24 + t[38]/24 + (11*t[39])/24 - (5*t[40])/96 - t[41]/48 + 
       t[42]/48 - (7*t[43])/48 + (7*t[44])/16 + t[45]/4 + t[46]/16 - 
       (5*t[47])/8 - (29*t[48])/768 + (29*t[49])/64 + (21*t[50])/256 - 
       (109*t[51])/384 - (85*t[52])/256 - (23*t[53])/192 + (271*t[54])/256 + 
       (5*t[59])/8 + (403*t[60])/384 + (1867*t[61])/128 - (5809*t[62])/768 - 
       (127*t[63])/768 - (7075*t[64])/768 - (677*t[65])/384 - 
       (6833*t[66])/1152 + t[70]/12 - t[71]/12 + t[72]/4 + t[73]/8 + 
       (3*t[74])/8 - (7*t[75])/8 + (5*t[76])/12 + t[77]/12 - (43*t[78])/24 - 
       (5*t[79])/8 + (5*t[80])/4 + (7*t[81])/48 - t[82]/48 + (17*t[83])/12 + 
       (221*t[84])/384 - (319*t[85])/384 + (19*t[86])/24 - (245*t[87])/384 + 
       (25*t[88])/256 - (133*t[89])/256 - t[95]/4 + (5*t[96])/12 + 
       (3*t[97])/8 + t[98]/2 + t[99]/2 - (39*t[100])/4) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*
      ((-3*t[2])/2 - (143*t[3])/4 - (299*t[5])/8 - (43*t[6])/2 + 
       (169*t[7])/4 + (195*t[8])/4 + (235*t[9])/8 + (3*t[10])/4 + 8*t[11] + 
       (51*t[12])/8 - (115*t[13])/8 + (409*t[14])/24 + (511*t[15])/48 - 
       3*t[20] - 30*t[28] + 27*t[32] - 30*t[33] - 3*t[34] + 3*t[35] - 
       (83*t[48])/4 + (83*t[50])/4 - (83*t[52])/4 - (83*t[54])/4 - 
       (5*t[59])/2 - 9*t[60] + (53*t[61])/2 - (41*t[62])/4 + 109*t[63] - 
       6*t[64] + (71*t[65])/6 + (335*t[66])/6 + 3*t[69] - 3*t[70] + 3*t[71] - 
       40*t[73] - 16*t[74] + 45*t[75] + 3*t[79] + 43*t[83] + 3*t[86] + 
       6*t[87] + 3*t[88] - (29*t[89])/4 - 9*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*(15*t[4] + (149*t[5])/8 + 
       6*t[6] - (39*t[7])/4 - (85*t[8])/4 - (33*t[9])/8 - (15*t[10])/2 + 
       (45*t[11])/4 - (51*t[12])/8 + (433*t[13])/24 + t[14]/2 - 
       (811*t[15])/48 - 8*t[28] - 3*t[44] + (21*t[48])/4 + (27*t[49])/4 - 
       (21*t[50])/4 - (27*t[51])/8 + (21*t[52])/4 - (27*t[53])/4 - 
       (33*t[54])/4 + (27*t[60])/2 - (5*t[61])/2 + (45*t[62])/4 - 
       (229*t[63])/4 + 11*t[64] + (37*t[65])/12 - (647*t[66])/12 - 40*t[73] + 
       45*t[75] + (19*t[81])/2 - (19*t[82])/2 + 40*t[83] + (3*t[84])/4 + 
       (27*t[85])/2 - 12*t[87] - 6*t[88] + 12*t[89] - 9*t[100]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*(-t[1]/2 + (5*t[2])/8 - 
       (3*t[3])/2 - (29*t[4])/8 - (3*t[5])/4 + (85*t[6])/16 - 9*t[7] + 
       (73*t[8])/4 - 2*t[9] - (21*t[10])/16 - (97*t[11])/16 + (15*t[12])/16 + 
       (55*t[13])/72 - (169*t[14])/96 + (11*t[15])/24 + t[25] - t[26]/2 + 
       t[29]/2 - t[30] - t[31]/2 + t[34]/2 - t[37]/2 - (3*t[38])/4 - 
       t[39]/2 - t[41]/4 + t[42]/4 + t[43]/4 - (9*t[44])/4 + t[46]/2 + 
       (63*t[48])/16 - (43*t[49])/16 - (49*t[50])/16 + (23*t[51])/32 + 
       (49*t[52])/16 + (19*t[53])/16 + (83*t[54])/16 + t[59]/8 + 
       (37*t[60])/8 - (29*t[61])/8 + (59*t[62])/8 - (35*t[63])/8 + 
       (173*t[64])/16 + (85*t[65])/12 + (57*t[66])/8 + t[72]/2 - 
       (9*t[76])/4 - t[77]/2 + (19*t[78])/4 + 4*t[80] + t[82]/2 - t[83]/2 + 
       3*t[84] - t[85] + 3*t[86] + (7*t[87])/2 + (3*t[88])/2 + 
       (45*t[89])/16 - (3*t[96])/2 - (3*t[97])/4 - 12*t[98] + 12*t[99] - 
       9*t[100]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      (-t[1]/4 + (19*t[2])/8 - (19*t[3])/4 + (37*t[4])/8 + (9*t[5])/16 + 
       (5*t[6])/8 - (7*t[7])/8 + (53*t[8])/8 - (19*t[9])/16 + (19*t[10])/16 + 
       (5*t[11])/2 - (5*t[12])/2 - (13*t[13])/12 + (373*t[14])/96 + 
       (29*t[15])/32 + t[25]/2 - t[26]/2 + t[29] + t[30] - t[31] + t[32] - 
       t[33] + t[37] + t[38]/4 - t[39] + (7*t[40])/4 - t[43]/4 - 
       (3*t[44])/2 + (7*t[45])/4 - t[46]/2 - (7*t[47])/4 + (27*t[48])/8 + 
       (23*t[49])/16 - t[50]/8 - (3*t[51])/32 - (11*t[52])/8 - 
       (23*t[53])/16 + (3*t[54])/2 - (5*t[59])/8 + (15*t[60])/4 + 10*t[61] - 
       (33*t[62])/8 - (19*t[63])/8 - (5*t[64])/8 - t[65] - (7*t[66])/2 + 
       t[72] - 2*t[76] + (17*t[78])/4 - (9*t[80])/2 + t[81]/4 - (5*t[82])/4 + 
       (5*t[84])/2 - (11*t[85])/4 + t[86] + (17*t[87])/4 + (17*t[88])/8 + 
       t[89]/2 - t[97]/4 - 12*t[98] + 12*t[99] - 9*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((-31*t[1])/48 - (125*t[2])/48 + (721*t[3])/96 - (469*t[4])/96 + 
       (2531*t[5])/192 - (401*t[6])/256 - (497*t[7])/48 + (359*t[8])/64 - 
       (6887*t[9])/384 - (157*t[10])/192 + (857*t[11])/256 + 
       (883*t[12])/192 - (187*t[13])/432 - (3725*t[14])/768 + 
       (12767*t[15])/6912 + t[23]/4 + t[24]/4 - t[27]/4 + (17*t[28])/12 + 
       (49*t[29])/24 - t[30]/24 + (5*t[31])/12 - (203*t[32])/96 + 
       (7*t[33])/8 + (83*t[34])/24 - (2*t[35])/3 + (5*t[36])/8 + t[37]/2 - 
       (47*t[38])/48 + (5*t[39])/16 - (175*t[40])/96 + (5*t[41])/24 - 
       (5*t[42])/24 + t[43]/8 - (319*t[44])/96 - (37*t[45])/8 - 
       (3*t[46])/16 + (47*t[47])/12 + (1049*t[48])/256 + (493*t[49])/192 - 
       (4073*t[50])/768 - (241*t[51])/128 + (2019*t[52])/256 - 
       (127*t[53])/64 - (753*t[54])/256 + (17*t[59])/48 - (7597*t[60])/384 - 
       (981*t[61])/128 + (3323*t[62])/768 + (5431*t[63])/256 + 
       (9439*t[64])/256 - (83*t[65])/128 + (2737*t[66])/384 - t[70]/2 + 
       t[71]/2 - t[72]/3 + (5*t[73])/12 - (25*t[74])/24 + (3*t[75])/2 + 
       (71*t[76])/12 - (11*t[77])/24 - (29*t[78])/6 - (2*t[79])/3 + 
       (43*t[80])/12 - (73*t[81])/48 + (25*t[82])/16 - (37*t[83])/12 - 
       (3767*t[84])/384 - (1379*t[85])/384 + (3*t[86])/4 + (371*t[87])/384 - 
       (2221*t[88])/768 - (7327*t[89])/768 + (7*t[95])/3 + (11*t[96])/8 + 
       (5*t[97])/6 + 34*t[98] - 34*t[99] - (69*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      ((-5*t[1])/12 - (33*t[2])/16 + (827*t[3])/192 - (73*t[4])/24 + 
       (19*t[5])/32 + (315*t[6])/64 - (89*t[7])/96 + (1337*t[8])/96 + 
       (371*t[9])/96 + (37*t[10])/48 - (353*t[11])/192 + (5*t[12])/4 - 
       (3035*t[13])/576 + (169*t[14])/576 + (7913*t[15])/3456 + (7*t[20])/3 - 
       t[23] - t[24] + (5*t[28])/2 + (245*t[29])/48 + (7*t[30])/6 + 
       (11*t[31])/6 - (7*t[32])/8 + (5*t[33])/24 + (43*t[34])/24 + 
       (19*t[35])/3 - (5*t[38])/6 - (5*t[40])/4 + (19*t[44])/16 - 
       (35*t[45])/12 + (25*t[47])/12 + (603*t[48])/64 + (83*t[49])/48 + 
       (377*t[50])/192 - (41*t[51])/32 + (103*t[52])/192 - (83*t[53])/48 + 
       (195*t[54])/64 + (95*t[59])/48 - (1441*t[60])/96 + (151*t[61])/32 + 
       (907*t[62])/192 + (3881*t[63])/192 + (1751*t[64])/192 + 
       (1127*t[65])/144 + (4247*t[66])/144 - t[69]/3 + (5*t[70])/3 - 
       (11*t[71])/6 + (5*t[72])/6 - t[73]/6 + (11*t[74])/6 + (11*t[75])/2 + 
       (47*t[76])/12 - (5*t[78])/3 - (7*t[79])/6 + (5*t[80])/2 - 
       (11*t[81])/6 + t[83]/3 - (91*t[84])/16 - (43*t[85])/48 + 
       (11*t[86])/2 - (61*t[87])/8 - (103*t[88])/24 - (1099*t[89])/192 + 
       (5*t[95])/3 + (5*t[97])/12 + 20*t[98] - 20*t[99] - (17*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-7*t[1])/16 - (19*t[2])/16 + (113*t[3])/48 + (3*t[4])/8 - 
       (1381*t[5])/576 + (2663*t[6])/576 - (785*t[7])/144 + (4249*t[8])/288 - 
       (721*t[9])/192 - (553*t[10])/288 - (397*t[11])/64 - (959*t[12])/576 - 
       (19*t[13])/144 - (253*t[14])/216 + (14899*t[15])/10368 - t[19]/4 - 
       t[20]/4 - t[21]/4 + t[22]/4 + t[23]/4 + t[25]/2 - t[26]/4 - t[27]/2 - 
       (71*t[28])/72 + (47*t[29])/32 + (19*t[30])/24 - (2*t[31])/3 - 
       (15*t[32])/8 + t[33]/4 + (5*t[34])/8 - (5*t[35])/6 - t[37]/4 - 
       (3*t[38])/8 - (3*t[39])/4 + (11*t[40])/8 - (5*t[41])/16 + 
       (5*t[42])/16 + t[43]/4 - (971*t[44])/288 - t[45]/4 + t[46]/4 + 
       (683*t[48])/576 - (7*t[49])/16 - (923*t[50])/576 - (5*t[51])/32 + 
       (419*t[52])/576 - (5*t[53])/16 + (2843*t[54])/576 + t[59]/8 - 
       (2545*t[60])/288 + (29*t[61])/96 + (1531*t[62])/144 + 
       (1501*t[63])/144 + (3931*t[64])/576 + (701*t[65])/108 + 
       (3961*t[66])/216 - t[70]/2 + t[71]/2 - (17*t[72])/12 - (17*t[73])/24 - 
       t[74]/4 - (23*t[75])/24 - 2*t[76] - t[77]/4 + (7*t[78])/4 + 
       (17*t[79])/24 + (3*t[80])/2 - t[81]/8 + t[82]/8 + (17*t[83])/72 + 
       t[84]/3 - (23*t[85])/48 + (67*t[86])/72 + (1033*t[87])/288 - 
       (407*t[88])/576 + (321*t[89])/64 + t[95]/2 - (3*t[97])/4 - 3*t[98] + 
       6*t[99] - (25*t[100])/3) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*((-5*t[1])/16 + (37*t[2])/48 + (319*t[3])/144 + 
       (1217*t[4])/288 + (9*t[5])/8 - (2729*t[6])/576 + (127*t[7])/96 - 
       (121*t[8])/16 - (797*t[9])/288 - (581*t[10])/576 + (3299*t[11])/576 - 
       (1105*t[12])/576 + (113*t[13])/108 - (2665*t[14])/3456 - 
       (221*t[15])/2592 - t[19]/2 + (13*t[20])/36 + t[21]/2 - t[22]/4 - 
       t[23]/6 + t[24]/12 + t[25]/4 - t[26]/4 + t[27]/4 - (5*t[28])/18 + 
       (49*t[29])/72 + (53*t[30])/48 - (7*t[31])/12 - (241*t[32])/144 - 
       (13*t[33])/144 - t[34]/72 - t[35]/6 + (3*t[37])/4 + t[38]/8 - 
       (3*t[39])/4 + (15*t[40])/8 - t[41]/16 - t[42]/16 - t[43]/8 - 
       (5*t[44])/12 + t[45]/4 - t[46]/4 - t[47]/2 - (533*t[48])/576 + 
       (601*t[49])/576 + (785*t[50])/576 - (313*t[51])/1152 - 
       (1721*t[52])/576 - (601*t[53])/576 - (2419*t[54])/576 - (5*t[59])/9 - 
       (71*t[60])/16 + (1693*t[61])/288 + (11*t[62])/32 + (2045*t[63])/288 + 
       (1073*t[64])/576 - (47*t[65])/48 - (667*t[66])/144 - t[70]/2 + 
       t[71]/2 - (7*t[73])/24 - t[74]/4 - (13*t[75])/24 - (3*t[76])/4 - 
       t[77]/2 + 2*t[78] - 2*t[80] + (13*t[81])/48 - (25*t[82])/48 + 
       (65*t[83])/72 - (17*t[84])/144 - (161*t[85])/288 + (5*t[86])/9 + 
       (155*t[87])/48 - (73*t[88])/96 - (4*t[89])/3 + t[95]/2 + t[96]/2 - 
       t[97]/2 - 3*t[98] + 6*t[99] - (25*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      (t[1]/4 - (3*t[2])/8 - (13*t[3])/8 + (9*t[4])/8 + (121*t[5])/48 + 
       (47*t[6])/12 - (35*t[7])/8 + (341*t[8])/24 - (35*t[9])/48 + 
       (101*t[10])/48 + (61*t[11])/24 + (61*t[12])/24 + (17*t[13])/9 + 
       (109*t[14])/96 + (467*t[15])/864 + (7*t[28])/3 + (17*t[29])/12 - 
       t[30]/12 + t[31]/2 + (13*t[32])/12 - t[33]/4 + (7*t[34])/6 + t[35] - 
       t[38]/4 + (3*t[39])/4 - (5*t[40])/4 + t[41]/4 - t[42]/4 - 
       (25*t[44])/12 - (7*t[45])/4 + (7*t[47])/4 + (47*t[48])/12 + 
       (31*t[49])/16 - 4*t[50] - (35*t[51])/32 + 5*t[52] - (15*t[53])/16 + 
       (37*t[54])/24 + (5*t[59])/24 - (5*t[60])/24 + (59*t[61])/24 - 
       (83*t[62])/48 - (257*t[63])/48 + (179*t[64])/16 - (103*t[65])/72 - 
       (23*t[66])/8 + t[72]/2 + t[73] - (2*t[74])/3 + 3*t[75] + 
       (15*t[76])/4 + t[77]/2 - (7*t[78])/2 - t[79] + (5*t[80])/2 + 
       t[81]/12 - (7*t[82])/12 - (17*t[83])/6 - (113*t[84])/24 - 
       (53*t[85])/24 + t[86]/3 - t[87]/8 - (23*t[88])/48 - (25*t[89])/48 + 
       (4*t[95])/3 + (3*t[96])/2 + (5*t[97])/4 + 24*t[98] - 24*t[99] - 
       8*t[100]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      (t[1]/8 + (43*t[2])/24 - (667*t[3])/128 + (49*t[4])/24 - 
       (151*t[5])/96 + (91*t[6])/256 + (475*t[7])/192 + (325*t[8])/96 + 
       (2183*t[9])/384 + (67*t[10])/96 + (3367*t[11])/768 + (2*t[12])/3 + 
       (7019*t[13])/3456 + (4717*t[14])/768 - (1915*t[15])/3456 - t[20]/6 + 
       t[23]/4 + t[24]/6 - t[27]/6 - (11*t[28])/24 - (9*t[29])/32 - 
       (29*t[30])/48 - t[31]/2 + t[32]/2 - (17*t[33])/48 + (5*t[34])/24 - 
       t[35]/2 + (5*t[37])/24 + t[38]/24 + (7*t[39])/12 - (47*t[40])/96 + 
       (5*t[41])/48 - (5*t[42])/48 - t[43]/48 - (137*t[44])/192 + 
       (7*t[45])/24 + t[46]/16 + (139*t[48])/768 + (13*t[49])/48 - 
       (553*t[50])/768 - (25*t[51])/192 + (163*t[52])/256 + t[53]/16 + 
       (137*t[54])/768 - (19*t[59])/48 + (3943*t[60])/384 + 
       (1033*t[61])/128 - (5795*t[62])/768 - (7957*t[63])/768 - 
       (203*t[64])/256 - (4717*t[65])/1152 - (18071*t[66])/1152 + t[70]/12 - 
       t[71]/12 + t[72]/3 - t[73]/8 + t[74]/4 - (7*t[75])/8 + (23*t[76])/24 + 
       t[77]/24 + t[78]/3 + t[79]/8 - t[80]/6 + (11*t[81])/8 - 
       (37*t[82])/24 + (2*t[83])/3 + (763*t[84])/384 + t[85]/128 + 
       (37*t[86])/24 - (407*t[87])/384 - (29*t[88])/256 + (1241*t[89])/768 - 
       t[95]/4 + (5*t[96])/12 + (3*t[97])/8 + (7*t[98])/2 - (9*t[99])/2 - 
       8*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*
      (t[1]/2 + (87*t[2])/4 - (69*t[3])/2 - (25*t[4])/2 - (79*t[5])/4 + 
       (517*t[6])/16 - (81*t[7])/4 + (169*t[8])/2 + (73*t[9])/8 - 
       (31*t[10])/4 - (549*t[11])/16 - (27*t[12])/2 - (247*t[13])/24 + 
       (253*t[14])/48 + (803*t[15])/144 + 2*t[27] - 2*t[29] - 3*t[31] + 
       (25*t[32])/2 + t[33] + 2*t[35] - 3*t[36] - 3*t[37] - t[38]/2 - 
       (7*t[39])/2 + t[40]/2 - (3*t[41])/2 + (3*t[42])/2 + t[43]/2 - 
       (3*t[44])/2 + 9*t[45] + (3*t[46])/2 - 12*t[47] + (195*t[48])/16 - 
       (15*t[49])/2 + (71*t[50])/16 + (31*t[51])/8 - (7*t[52])/16 + 
       (3*t[53])/2 + (421*t[54])/16 - 2*t[59] + (401*t[60])/8 - 
       (73*t[61])/8 + (243*t[62])/16 - (939*t[63])/16 - (541*t[64])/16 + 
       (1031*t[65])/24 + (305*t[66])/24 + 4*t[70] - 4*t[71] + 4*t[72] + 
       4*t[73] + 2*t[74] - 3*t[75] - 15*t[76] + 19*t[78] + 4*t[79] - 
       3*t[80] + t[81]/2 - (9*t[82])/2 + 3*t[83] + (265*t[84])/8 + 
       (143*t[85])/8 + 18*t[86] + (113*t[87])/8 + (417*t[88])/16 + 
       (327*t[89])/16 - 8*t[95] - 13*t[96] - 4*t[97] - 96*t[98] + 96*t[99] - 
       (15*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*((179*t[2])/96 + (55*t[3])/48 + (415*t[4])/96 + 
       (1763*t[5])/576 + (565*t[6])/1152 - (1903*t[7])/288 + 
       (2767*t[8])/288 - (163*t[9])/16 - (413*t[10])/576 + (2117*t[11])/384 - 
       (343*t[12])/288 + (1199*t[13])/432 - (1441*t[14])/864 + 
       (10009*t[15])/2592 + t[22]/4 + t[24]/12 - t[27]/12 + (7*t[28])/18 - 
       (29*t[29])/16 + (41*t[30])/12 - t[31]/3 - (53*t[32])/96 - t[33]/6 - 
       t[34]/4 - t[35]/6 - (3*t[36])/8 + t[37]/24 + t[38]/12 - t[39]/12 + 
       (59*t[40])/96 - (5*t[41])/48 + (5*t[42])/48 + t[43]/48 - 
       (365*t[44])/288 + (7*t[45])/12 + t[46]/16 - (5*t[47])/8 + 
       (1831*t[48])/1152 + (53*t[49])/64 - (2725*t[50])/1152 - 
       (89*t[51])/384 + (1957*t[52])/1152 - (127*t[53])/192 - 
       (899*t[54])/1152 - t[59]/12 - (6227*t[60])/576 + (1807*t[61])/192 - 
       (1585*t[62])/1152 + (1889*t[63])/1152 + (8447*t[64])/1152 + 
       (7721*t[65])/1728 - (805*t[66])/1728 - t[70]/12 + t[71]/12 + 
       (7*t[72])/12 + t[73]/4 + t[74]/4 + t[75]/6 - (5*t[76])/6 + 
       (5*t[77])/24 + (17*t[78])/12 - (3*t[79])/2 - (5*t[80])/6 + 
       (3*t[81])/8 - (29*t[82])/24 + t[83]/36 - (509*t[84])/192 - 
       (845*t[85])/192 + (20*t[86])/9 + (3965*t[87])/576 + 
       (3485*t[88])/1152 - (115*t[89])/384 + t[95]/4 + t[96]/3 - 
       (7*t[98])/2 + 5*t[99] - (22*t[100])/3) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((-13*t[1])/24 - 
       (383*t[2])/144 + (715*t[3])/72 + (17*t[4])/6 - (7*t[5])/24 - 
       (4027*t[6])/384 + (1331*t[7])/144 - (7513*t[8])/288 + (719*t[9])/192 - 
       (227*t[10])/72 + (9809*t[11])/1152 + (347*t[12])/288 + 
       (4129*t[13])/1296 - (10295*t[14])/3456 - (11917*t[15])/10368 - t[19] + 
       (13*t[20])/18 + t[21] - t[22]/2 - t[23]/2 - t[24]/9 + (2*t[27])/9 + 
       (14*t[29])/9 + (5*t[30])/4 + t[31]/6 - (539*t[32])/144 - 
       (13*t[33])/18 + (53*t[34])/36 + (7*t[36])/12 + (29*t[37])/36 - 
       (2*t[38])/9 + t[39]/18 + (211*t[40])/144 - t[41]/18 - (7*t[42])/36 + 
       (5*t[43])/72 + (5*t[44])/3 - (37*t[45])/12 - (7*t[46])/24 + 
       (17*t[47])/6 - (2165*t[48])/384 + (49*t[49])/36 + (4141*t[50])/1152 - 
       (67*t[51])/96 - (5581*t[52])/1152 - (29*t[53])/36 - 
       (11465*t[54])/1152 + (7*t[59])/72 - (8243*t[60])/576 - 
       (1369*t[61])/576 + (7361*t[62])/1152 + (26431*t[63])/1152 - 
       (5*t[64])/128 - (931*t[65])/576 - (2831*t[66])/1728 - (23*t[70])/18 + 
       (23*t[71])/18 - t[72] - (7*t[73])/12 - (4*t[74])/3 + (7*t[75])/12 + 
       (53*t[76])/18 - (31*t[77])/36 - (55*t[78])/36 + (7*t[80])/3 + 
       (67*t[81])/72 + (53*t[82])/72 - t[83]/36 - (983*t[84])/192 + 
       (775*t[85])/576 - (4*t[86])/3 - (1379*t[87])/576 - (939*t[88])/128 - 
       (2363*t[89])/384 + (11*t[95])/6 + (19*t[96])/9 - t[97]/4 + 
       (70*t[98])/3 - 19*t[99] - 7*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*(t[1]/6 - (1687*t[2])/144 - 
       (9463*t[3])/288 - (415*t[4])/48 - (2165*t[5])/72 + (43711*t[6])/1152 - 
       (1885*t[7])/144 + (27635*t[8])/288 + (281*t[9])/64 + 
       (2059*t[10])/288 - (57239*t[11])/1152 + (59*t[12])/8 - 
       (84605*t[13])/2592 + (110191*t[14])/3456 + (30809*t[15])/10368 + 
       (7*t[20])/9 + (29*t[24])/18 + (7*t[27])/9 - (19*t[28])/36 + 
       (469*t[29])/144 + (53*t[30])/12 + (2*t[31])/3 + (67*t[32])/72 + 
       (107*t[33])/36 + (41*t[34])/18 - (19*t[35])/3 - (10*t[36])/3 + 
       (22*t[37])/9 + (17*t[38])/36 - (29*t[39])/36 + (329*t[40])/144 + 
       (47*t[41])/36 - (47*t[42])/36 + (11*t[43])/36 - (737*t[44])/72 + 
       (7*t[45])/12 + (7*t[46])/24 - (19*t[47])/12 + (12601*t[48])/1152 + 
       (679*t[49])/288 - (10835*t[50])/1152 - (379*t[51])/192 + 
       (12563*t[52])/1152 - (551*t[53])/288 + (16741*t[54])/384 - 
       (61*t[59])/72 + (265*t[60])/64 + (7915*t[61])/576 + 
       (10951*t[62])/384 + (17179*t[63])/1152 + (16055*t[64])/1152 + 
       (15047*t[65])/1728 + (167425*t[66])/1728 + (7*t[70])/9 - (7*t[71])/9 - 
       (19*t[72])/6 + (13*t[73])/4 + (19*t[74])/12 - (143*t[75])/12 - 
       (25*t[76])/36 + (85*t[77])/36 - (65*t[78])/9 + (133*t[79])/12 - 
       (35*t[80])/6 - (265*t[81])/72 + (271*t[82])/72 - (85*t[83])/9 + 
       (331*t[84])/64 + (6167*t[85])/576 - (865*t[86])/36 - 
       (2051*t[87])/576 + (2429*t[88])/1152 + (12761*t[89])/384 - 
       (7*t[95])/3 + (8*t[96])/9 + (5*t[97])/4 + (83*t[98])/3 - 31*t[99] - 
       (41*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2*((-7*t[1])/4 + (38*t[2])/3 - (2659*t[3])/96 + 
       (173*t[4])/8 - (667*t[5])/16 + (799*t[6])/32 - (3359*t[7])/48 + 
       (1721*t[8])/48 - (291*t[9])/16 - (5*t[10])/48 - (4013*t[11])/96 - 
       (1357*t[12])/48 - (1049*t[13])/864 - (1031*t[14])/36 - 
       (28981*t[15])/1728 + (7*t[20])/3 + t[22] + (10*t[24])/3 + 
       (10*t[27])/3 - t[28]/2 - (37*t[29])/24 + (21*t[30])/8 - (3*t[31])/2 + 
       (35*t[32])/12 + (181*t[33])/24 - (5*t[34])/12 - 6*t[35] - 9*t[36] - 
       (7*t[37])/6 + (17*t[38])/12 - (95*t[39])/12 + (14*t[40])/3 - 
       (4*t[41])/3 + (4*t[42])/3 - (25*t[43])/12 - (49*t[44])/8 + 
       (65*t[45])/4 + (5*t[46])/2 - (75*t[47])/4 + (207*t[48])/32 - 
       (667*t[49])/48 + (389*t[50])/96 + (217*t[51])/32 - (581*t[52])/96 + 
       (203*t[53])/48 + (2129*t[54])/96 - (77*t[59])/12 + (2549*t[60])/48 - 
       (2285*t[61])/48 + (5401*t[62])/96 - (8989*t[63])/96 - (249*t[64])/32 + 
       (847*t[65])/24 + (475*t[66])/72 - t[69] + (7*t[70])/3 - (7*t[71])/3 - 
       t[72]/2 + (11*t[73])/2 + 10*t[74] - (11*t[75])/2 - (331*t[76])/12 + 
       (7*t[77])/3 + (112*t[78])/3 + (5*t[79])/2 - (57*t[80])/2 + 
       (43*t[81])/12 - (169*t[82])/12 + (31*t[83])/3 + (345*t[84])/8 + 
       (643*t[85])/24 - (17*t[86])/2 + (50*t[87])/3 + (163*t[88])/8 + 
       (1173*t[89])/32 - 10*t[95] - (101*t[96])/6 - (37*t[97])/4 - 
       172*t[98] + 186*t[99] - (13*t[100])/2) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*(16*t[3] + (147*t[5])/4 - 
       (49*t[6])/2 - (35*t[7])/2 - (121*t[8])/2 - (103*t[9])/4 - 
       (5*t[10])/2 + 27*t[11] + (5*t[12])/4 + (52*t[13])/3 - (277*t[14])/12 - 
       (739*t[15])/72 - (7*t[29])/2 - 10*t[30] + 4*t[31] + 8*t[35] - 
       6*t[40] + 2*t[44] - (5*t[48])/2 - (19*t[50])/2 + (19*t[52])/2 - 
       (49*t[54])/2 + 31*t[60] - 33*t[61] - 14*t[62] - 63*t[63] + 
       (87*t[64])/2 - 38*t[65] - (314*t[66])/3 + 4*t[72] + 2*t[73] - 
       2*t[75] + 12*t[76] - 2*t[79] + 9*t[83] - t[84] - t[85] + 10*t[86] - 
       3*t[87] - (3*t[88])/2 - 27*t[89] - 6*t[100]) + 
     B6[v, w, u]*HPL[{1}, 1 - u]*(-t[3] + (5*t[4])/4 - (5*t[5])/4 - 
       (5*t[6])/4 + (7*t[7])/2 - 5*t[8] + (11*t[9])/4 - (5*t[10])/8 + 
       4*t[11] - (3*t[12])/8 + t[13] + (113*t[14])/48 + (7*t[15])/12 - 
       (5*t[48])/4 + t[49]/8 + (7*t[50])/4 - t[51]/16 - (7*t[52])/4 - 
       t[53]/8 - 2*t[54] + (19*t[60])/4 + (19*t[61])/4 - (21*t[62])/8 + 
       (9*t[63])/8 - (39*t[64])/8 - (10*t[65])/3 - (35*t[66])/6 - t[73] + 
       t[75] + t[81]/2 - t[82]/2 + t[83] + t[84] - t[85]/4 - (11*t[87])/4 - 
       (11*t[88])/8 - (13*t[89])/8 - 6*t[100]) + B5[w, u, v]*HPL[{1}, 1 - w]*
      (t[2]/2 - t[3]/2 - t[4]/2 - (3*t[5])/4 + (3*t[7])/2 + (3*t[8])/2 + 
       (3*t[9])/4 + t[10]/4 + (3*t[11])/2 + (3*t[12])/2 + (31*t[14])/24 + 
       t[15]/24 + t[41]/2 - t[42]/2 - (3*t[49])/4 + (3*t[51])/8 + 
       (3*t[53])/4 + t[54]/2 + t[59]/2 + t[60]/2 + 6*t[61] - (23*t[62])/4 - 
       t[63]/4 + (9*t[64])/4 + t[65]/6 - (11*t[66])/6 + t[72] + t[83] + 
       t[84]/2 - t[85]/2 + 4*t[86] + t[87]/2 + t[88]/4 - (5*t[89])/4 - 
       6*t[100]) + B5[u, v, w]*HPL[{1}, 1 - u]*(-t[3]/2 + t[6] + 2*t[8] - 
       2*t[9] - t[10] + t[11]/2 - t[13]/12 - t[14]/6 + (7*t[15])/12 + t[20] + 
       t[48]/2 - t[50]/2 + t[52]/2 + t[54]/2 + 2*t[61] + t[63] - 
       (2*t[65])/3 - t[83] - t[89] - 6*t[100]) + B6[v, u, w]*HPL[{1}, 1 - w]*
      ((3*t[2])/4 + (3*t[5])/8 - (3*t[6])/4 + 2*t[7] - t[8]/2 + (11*t[9])/8 - 
       t[10] + (3*t[11])/2 - (13*t[12])/8 - t[13]/3 + (23*t[14])/24 + 
       (3*t[15])/16 + t[24] - (3*t[48])/4 + (5*t[50])/4 - (5*t[52])/4 - 
       (5*t[54])/4 + (3*t[60])/2 + 2*t[61] - t[62]/2 - t[63]/2 - 3*t[64] - 
       (5*t[65])/3 - t[66] + t[72] - t[73] + t[74] + t[75] + t[83] + 
       t[84]/2 - t[85]/2 - (3*t[87])/2 - (3*t[88])/4 - t[89] - 6*t[100]) + 
     B5[u, w, v]*HPL[{1}, 1 - u]*(-t[3]/2 + t[4]/2 - (3*t[5])/4 + t[6] - 
       t[7]/2 + (3*t[8])/2 - (5*t[9])/4 - t[10]/4 + (3*t[11])/2 + t[13] + 
       (29*t[14])/24 + (17*t[15])/24 - t[49]/4 + t[51]/8 + t[53]/4 + 
       t[54]/2 + t[60]/2 + (11*t[61])/2 + (7*t[62])/4 + (9*t[63])/4 - 
       (9*t[64])/4 + (5*t[65])/6 - (11*t[66])/6 + t[72] - t[83] + t[84]/2 - 
       t[85]/2 - 4*t[86] - t[87]/2 - t[88]/4 - (3*t[89])/4 - 6*t[100]) + 
     B6[u, v, w]*HPL[{1}, 1 - u]*((-3*t[2])/4 + t[3]/2 + (3*t[5])/8 + t[6] + 
       (5*t[8])/2 - (21*t[9])/8 - t[10] - t[11]/4 + (3*t[12])/8 + t[13]/6 - 
       (7*t[14])/24 + (17*t[15])/48 + t[20] - t[28] + t[32] - t[33] + 
       2*t[35] + t[48]/2 - t[50]/2 + t[52]/2 + t[54]/2 + t[61]/2 + 
       (3*t[62])/4 + t[63]/4 - (3*t[64])/4 - t[65]/6 + t[66]/2 - t[73] - 
       t[74] + t[75] - t[89]/4 - 6*t[100]) + B5[w, v, u]*HPL[{1}, 1 - w]*
      ((-3*t[2])/2 + t[4]/2 - t[5]/4 + t[6]/2 - t[7]/2 + t[8]/2 + t[9]/4 - 
       t[10]/4 + (3*t[11])/2 + t[12]/2 + (13*t[13])/12 - (7*t[14])/24 + 
       (17*t[15])/24 - t[49]/4 + t[51]/8 + t[53]/4 + t[54]/2 + t[59]/2 - 
       t[60]/2 + 4*t[61] - (7*t[62])/4 - t[63]/4 + t[64]/4 + (5*t[65])/6 - 
       (19*t[66])/6 - t[83] + t[84]/2 - t[85]/2 + t[87]/2 + t[88]/4 - 
       t[89]/4 - 6*t[100]) + B6[w, v, u]*HPL[{1}, 1 - w]*
      ((-3*t[2])/2 - t[3]/2 + (5*t[4])/4 - t[5]/4 + 2*t[6] - (7*t[7])/2 + 
       7*t[8] - (3*t[9])/4 - (5*t[10])/8 + (3*t[11])/4 + t[12]/8 + 
       (5*t[13])/3 + (13*t[14])/48 + (7*t[15])/12 - 2*t[44] + (3*t[48])/2 + 
       t[49]/8 - (3*t[50])/2 - t[51]/16 + (3*t[52])/2 - t[53]/8 + 
       (5*t[54])/4 + t[59]/2 + t[60]/4 + (15*t[61])/4 + (9*t[62])/8 - 
       (13*t[63])/8 + (23*t[64])/8 + (11*t[65])/6 - 3*t[66] - t[73] + t[75] + 
       t[81]/2 - t[82]/2 + t[84]/2 + t[85]/4 - t[87]/4 - t[88]/8 + 
       (13*t[89])/8 - 6*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - w]*(-2*t[2] + t[3]/2 + t[4]/2 - (27*t[5])/4 + 
       (17*t[6])/4 + (3*t[7])/2 + (21*t[8])/2 + (7*t[9])/4 + (11*t[10])/4 - 
       (11*t[11])/4 + (5*t[12])/2 + t[13]/3 - (29*t[14])/24 - (19*t[15])/72 - 
       t[20] - 3*t[23] - 3*t[24] - 2*t[28] - 2*t[29] + 3*t[31] - 5*t[32] + 
       4*t[33] - t[34] + 6*t[35] + 6*t[44] - t[48]/4 - t[49]/4 - 
       (5*t[50])/4 + t[51]/8 + (5*t[52])/4 + t[53]/4 + (19*t[54])/4 + t[59] - 
       9*t[60] + 10*t[61] - (3*t[62])/2 + (13*t[63])/2 + 7*t[64] + 12*t[65] + 
       t[66] + 5*t[83] + 2*t[84] + 4*t[85] + 4*t[86] + 9*t[87] + 
       (9*t[88])/2 + (9*t[89])/2 - 6*t[100]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w]*((27*t[2])/4 + t[3]/2 + 
       (11*t[4])/4 + (79*t[5])/4 - (43*t[6])/8 - (33*t[7])/2 - (87*t[8])/4 - 
       (79*t[9])/4 - (25*t[10])/8 + (85*t[11])/8 - (31*t[12])/8 + 
       (113*t[13])/12 + (101*t[14])/48 - (109*t[15])/36 - t[20] + 4*t[23] + 
       4*t[24] - 2*t[28] - 10*t[29] - (13*t[30])/2 - 4*t[31] - (15*t[32])/2 + 
       (13*t[33])/2 - t[34] - 14*t[35] - (17*t[44])/2 - (51*t[48])/8 + 
       (7*t[49])/8 - (73*t[50])/8 - (7*t[51])/16 + (73*t[52])/8 - 
       (7*t[53])/8 - (69*t[54])/8 - (5*t[59])/2 + (49*t[60])/2 - 
       (33*t[61])/4 - 11*t[62] - 39*t[63] + (87*t[64])/8 - (71*t[65])/3 - 
       51*t[66] - 3*t[73] + 3*t[74] - 7*t[75] - 3*t[76] + 3*t[79] + 
       (3*t[81])/2 - (3*t[82])/2 + 4*t[83] + 3*t[84] + (5*t[85])/4 - 
       5*t[86] - (3*t[87])/2 - (3*t[88])/4 + (17*t[89])/2 - 6*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-18*t[3] - (271*t[5])/8 + (155*t[6])/8 + 26*t[7] + (175*t[8])/4 + 
       (207*t[9])/8 + (5*t[10])/4 - (165*t[11])/8 - (5*t[12])/8 - 
       (61*t[13])/4 + (169*t[14])/6 + (1489*t[15])/144 - 5*t[28] - 
       (9*t[29])/4 + 6*t[30] - 3*t[31] - 6*t[35] + (9*t[40])/2 + 
       (13*t[44])/4 - (37*t[48])/8 + (97*t[50])/8 - (97*t[52])/8 + 
       (155*t[54])/8 - (133*t[60])/4 + (183*t[61])/4 + (7*t[62])/2 + 
       (115*t[63])/2 - (317*t[64])/8 + (118*t[65])/3 + (247*t[66])/3 - 
       3*t[72] - 3*t[73] - 3*t[75] - 9*t[76] + 3*t[79] + 2*t[83] + 3*t[84] + 
       3*t[85] - 5*t[86] + (49*t[87])/4 + (49*t[88])/8 + (165*t[89])/8 - 
       6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-83*t[2])/12 - (245*t[3])/24 - (37*t[4])/12 - (113*t[5])/6 + t[6]/2 + 
       (121*t[7])/4 - (37*t[8])/3 + 30*t[9] + (5*t[10])/8 - (19*t[11])/12 + 
       (49*t[12])/24 - (523*t[13])/72 + (3059*t[14])/144 + (367*t[15])/144 - 
       t[20]/3 - t[23] - t[24] - 8*t[28] + t[29]/6 - (17*t[30])/3 + t[31] - 
       t[32]/2 - (8*t[33])/3 + 2*t[34] + 4*t[35] + (11*t[44])/6 - 
       (17*t[48])/2 - (29*t[49])/24 + (103*t[50])/12 + (29*t[51])/48 - 
       (103*t[52])/12 + (29*t[53])/24 + (41*t[54])/12 + (3*t[59])/2 + 
       (223*t[60])/12 + 19*t[61] - (533*t[62])/24 - (175*t[63])/24 - 
       (223*t[64])/6 - (239*t[65])/18 - (11*t[66])/6 - t[73] + (5*t[74])/3 - 
       9*t[75] + t[79] - (11*t[81])/6 + (11*t[82])/6 + 11*t[83] + 
       (19*t[84])/2 + (101*t[85])/12 + 9*t[86] - 14*t[87] - (29*t[88])/6 - 
       (49*t[89])/24 - (16*t[95])/3 - 6*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((17*t[2])/2 - (121*t[3])/8 - 2*t[4] - (43*t[5])/2 + (205*t[6])/24 + 
       (275*t[7])/12 + (95*t[8])/4 + (181*t[9])/6 + (5*t[10])/2 - 
       (241*t[11])/24 - (3*t[12])/4 - (61*t[13])/8 + (2245*t[14])/72 + 
       (295*t[15])/144 - 2*t[28] - (7*t[29])/6 - (19*t[30])/6 - t[31] - 
       t[32]/3 - t[33]/2 + (7*t[34])/3 - 2*t[35] + (3*t[40])/2 - 
       (19*t[44])/3 - (119*t[48])/24 - t[49] + (169*t[50])/24 + t[51]/2 - 
       (169*t[52])/24 + t[53] + (253*t[54])/24 + t[59]/6 + (81*t[60])/4 + 
       (221*t[61])/12 - (151*t[62])/24 + (227*t[63])/24 - (1157*t[64])/24 - 
       (25*t[65])/3 + (139*t[66])/9 - t[72] - 2*t[73] + (8*t[74])/3 - 
       10*t[75] - 3*t[76] + 2*t[79] - (4*t[81])/3 + (4*t[82])/3 + 9*t[83] + 
       (31*t[84])/3 + (25*t[85])/3 - 6*t[86] - (97*t[87])/6 - (71*t[88])/12 + 
       (257*t[89])/24 - (16*t[95])/3 - 6*t[100]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (-t[1]/4 + (29*t[2])/48 - (43*t[3])/6 - (33*t[4])/8 - (683*t[5])/64 + 
       (3067*t[6])/384 + (347*t[7])/32 + (935*t[8])/96 + (269*t[9])/16 - 
       (57*t[10])/32 - (2839*t[11])/384 + (251*t[12])/64 - (739*t[13])/192 + 
       (1343*t[14])/128 + (317*t[15])/576 - (17*t[28])/24 - (47*t[29])/32 + 
       (21*t[30])/16 + (5*t[31])/12 + (9*t[32])/32 - (3*t[33])/8 + 
       (13*t[34])/8 + (4*t[35])/3 + t[36]/2 - t[38]/2 - t[40]/4 + t[43]/4 + 
       (295*t[44])/96 - (7*t[45])/4 + (5*t[47])/4 - (691*t[48])/384 + 
       (11*t[49])/16 + (247*t[50])/128 - (19*t[51])/32 - (55*t[52])/128 - 
       (11*t[53])/16 + (2731*t[54])/384 + t[59]/16 + (173*t[60])/192 + 
       (493*t[61])/192 - (493*t[62])/384 + (1815*t[63])/128 - 
       (1079*t[64])/128 + (1309*t[65])/192 + (9505*t[66])/576 + 
       (5*t[72])/12 + (7*t[73])/24 - t[74] - (5*t[75])/8 + (3*t[76])/4 - 
       t[77]/2 - (3*t[78])/2 - (7*t[79])/24 + (5*t[80])/2 + 3*t[81] + 
       t[82]/2 + (49*t[83])/24 + (9*t[84])/64 + (177*t[85])/64 + 
       (63*t[86])/8 + (97*t[87])/192 - (95*t[88])/384 + (1015*t[89])/384 + 
       t[95] + t[97]/4 + 12*t[98] - 12*t[99] - 6*t[100]) + 
     B6[w, u, v]*HPL[{1}, 1 - w]*(-t[2]/4 - t[3]/2 + (11*t[4])/4 - 
       (23*t[5])/8 + t[6]/2 - t[7]/2 - t[8]/2 + (17*t[9])/8 + (37*t[10])/8 - 
       2*t[11] + (7*t[12])/4 - (65*t[13])/36 + (39*t[14])/16 - (9*t[15])/16 - 
       t[36] + t[41]/2 - t[42]/2 - t[43] - t[49]/8 + t[51]/16 + t[53]/8 + 
       (5*t[54])/4 + t[59]/2 + (7*t[60])/4 + (15*t[61])/4 - (7*t[62])/8 + 
       (35*t[63])/8 - (89*t[64])/8 - (4*t[65])/3 + (23*t[66])/6 + t[72] - 
       t[73] + t[75] - t[76] + t[78] - 4*t[80] - t[81]/2 + t[82]/2 + t[83] + 
       t[84]/2 - (5*t[85])/4 - 4*t[86] - (3*t[87])/4 - (3*t[88])/8 - 
       (19*t[89])/8 - 12*t[98] + 12*t[99] - 6*t[100]) + 
     B6[u, w, v]*HPL[{1}, 1 - u]*((3*t[2])/4 - t[3]/2 + (5*t[4])/4 - 
       (13*t[5])/8 + t[6] + t[7] + 3*t[8] - (13*t[9])/8 - (17*t[10])/8 + 
       4*t[11] - t[12]/4 + (3*t[13])/2 + (25*t[14])/16 + (19*t[15])/48 + 
       t[36] + t[49]/8 - t[51]/16 - t[53]/8 - t[54]/4 + (9*t[60])/4 + 
       (31*t[61])/4 - (21*t[62])/8 + (9*t[63])/8 + (13*t[64])/8 - 
       (7*t[65])/3 - (41*t[66])/6 + t[72] - t[73] + t[75] - t[76] - t[77] + 
       t[78] - 2*t[79] + t[81]/2 - t[82]/2 + t[84]/2 + t[85]/4 + 2*t[86] - 
       (5*t[87])/4 - (5*t[88])/8 - (17*t[89])/8 - 12*t[98] + 12*t[99] - 
       6*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-5*t[1])/4 + (95*t[2])/2 - (291*t[3])/8 - 
       (261*t[4])/4 + (355*t[5])/16 + (169*t[6])/4 - (113*t[7])/16 + 
       (1161*t[8])/16 - (101*t[9])/4 + t[10]/16 - (1661*t[11])/16 - 
       (213*t[12])/16 - (10211*t[13])/288 - t[14]/16 + (2135*t[15])/144 + 
       2*t[16] - t[17]/2 - 2*t[18] + 2*t[19] + 10*t[20] + 3*t[21] - t[22] - 
       7*t[23] + 4*t[24] - (15*t[25])/2 + (7*t[26])/2 - t[27]/2 - 
       (13*t[29])/2 + 2*t[30] + 10*t[31] + (33*t[32])/2 + (13*t[33])/2 - 
       2*t[34] + 7*t[36] - t[37] + (3*t[38])/2 + 5*t[39] - 17*t[40] + 
       (15*t[41])/4 - (21*t[42])/4 + (31*t[43])/16 + (25*t[44])/4 - 
       (59*t[45])/8 - 2*t[46] + (13*t[47])/4 + (259*t[48])/16 - 
       (13*t[49])/4 + (315*t[50])/16 + (81*t[51])/16 + (261*t[52])/16 + 
       (79*t[53])/4 + (821*t[54])/16 - (3*t[58])/2 - 5*t[59] - 
       (141*t[60])/8 - (261*t[61])/4 + (347*t[62])/16 + (193*t[63])/16 - 
       (205*t[64])/8 - (133*t[65])/6 + (1387*t[66])/12 - 2*t[67] - 
       (11*t[68])/2 - 4*t[69] + 6*t[70] - 6*t[71] - 8*t[72] - t[74] - 
       (31*t[76])/2 + 5*t[77] + 20*t[78] + 10*t[80] - (41*t[81])/4 + 
       (87*t[82])/4 + (29*t[84])/4 - (85*t[85])/8 - (49*t[86])/2 + 
       (57*t[87])/8 + (33*t[88])/16 - (7*t[89])/2 - (5*t[92])/2 + 
       (5*t[94])/2 - t[97] - 24*t[98] + 54*t[99] - 6*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((45*t[1])/4 - (49*t[2])/8 - (501*t[3])/8 + (167*t[4])/8 - 
       (85*t[5])/8 + (57*t[6])/8 + (587*t[7])/8 + (713*t[8])/8 + 
       (367*t[9])/8 + (9*t[10])/4 + (487*t[11])/8 + (69*t[12])/4 + 
       (1349*t[13])/144 + (1857*t[14])/32 + (601*t[15])/72 - 2*t[16] + 
       t[17]/4 + 6*t[18] - t[19] - t[20] + 5*t[21] + 2*t[22] - 5*t[23] + 
       6*t[24] - (23*t[25])/2 + (17*t[26])/2 + 4*t[27] - (19*t[29])/2 - 
       9*t[30] + 3*t[31] + (19*t[32])/2 + (17*t[33])/2 + 3*t[34] - 
       (11*t[36])/2 - 4*t[37] + (13*t[38])/2 - (3*t[39])/2 + (3*t[41])/2 + 
       (3*t[42])/2 - (93*t[43])/8 - (17*t[44])/4 + (41*t[45])/4 + 
       (21*t[46])/4 - 6*t[47] + (35*t[48])/2 + 5*t[49] + (25*t[50])/2 - 
       (201*t[51])/32 - (35*t[52])/2 - (25*t[53])/4 - (39*t[54])/8 - 
       (3*t[55])/2 + t[58]/2 - (13*t[59])/2 + (969*t[60])/8 + 114*t[61] - 
       (583*t[62])/4 - (477*t[63])/4 - (191*t[64])/4 + (2023*t[65])/24 - 
       (1781*t[66])/24 + t[67] + 3*t[68] - 3*t[70] + 3*t[71] + 2*t[72] + 
       t[74]/2 + (3*t[76])/2 + (11*t[77])/2 + (11*t[78])/2 + 13*t[80] - 
       t[81]/4 + (23*t[82])/4 + t[83] + (131*t[84])/8 + 44*t[86] - 
       (181*t[87])/4 + (143*t[88])/8 + (611*t[89])/16 + t[92] - t[94] - 
       9*t[95] - 6*t[96] + 7*t[97] - 24*t[98] + 54*t[99] - 6*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((11*t[1])/4 - (235*t[2])/72 - (965*t[3])/576 - (2755*t[4])/36 + 
       (601*t[5])/288 - (4129*t[6])/1152 + (21289*t[7])/288 - 
       (2399*t[8])/144 + (20263*t[9])/576 - (2447*t[10])/72 - 
       (50215*t[11])/1152 - (143*t[12])/32 - (352885*t[13])/5184 - 
       (21031*t[14])/3456 + (170413*t[15])/5184 - t[17]/6 + t[18] - 3*t[19] + 
       6*t[20] - 6*t[22] - (2*t[23])/3 + t[24]/9 + (5*t[25])/3 - 
       (10*t[26])/3 + (14*t[27])/9 - (89*t[28])/12 + (2159*t[29])/144 - 
       (79*t[30])/36 - t[31]/6 + (2729*t[32])/144 - (62*t[33])/9 - 
       (151*t[34])/12 + (23*t[35])/6 - (71*t[36])/12 + (121*t[37])/18 + 
       (59*t[38])/18 - (28*t[39])/9 + (197*t[40])/72 - (131*t[41])/36 + 
       (95*t[42])/36 + (137*t[43])/18 + (4045*t[44])/288 + (341*t[45])/18 + 
       (131*t[46])/12 - (215*t[47])/6 + (9071*t[48])/384 - (175*t[49])/12 + 
       (3057*t[50])/128 + (1039*t[51])/72 - (28921*t[52])/1152 + 
       (695*t[53])/36 + (17653*t[54])/384 - t[58] + (85*t[59])/72 + 
       (1369*t[60])/576 + (16145*t[61])/576 + (105499*t[62])/1152 + 
       (84685*t[63])/1152 - (203855*t[64])/1152 + (325277*t[65])/1728 + 
       (306919*t[66])/1728 + t[68]/6 + (23*t[70])/9 - (23*t[71])/9 - 
       (19*t[72])/9 + (10*t[73])/3 + (9*t[74])/4 + (44*t[75])/3 - 
       (325*t[76])/36 + t[77]/9 + (893*t[78])/36 + t[79] - (97*t[80])/9 - 
       (21*t[81])/8 - (443*t[82])/72 - (841*t[83])/36 + (23549*t[84])/576 + 
       (833*t[85])/576 - (47*t[86])/2 - (19565*t[87])/576 - (911*t[88])/384 + 
       (4295*t[89])/1152 - t[90]/6 + 6*t[95] - (61*t[96])/18 - (19*t[97])/6 - 
       (194*t[98])/3 + 80*t[99] - 5*t[100]) + HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*((-273*t[3])/32 - (4229*t[5])/576 - 
       (97*t[6])/72 + (2831*t[7])/144 - (4573*t[8])/288 + (3337*t[9])/192 - 
       (197*t[10])/288 + (65*t[11])/32 + (197*t[12])/576 - (29*t[13])/32 + 
       (13421*t[14])/1728 + (8351*t[15])/10368 - t[20] - (49*t[28])/72 + 
       (7*t[29])/96 + (15*t[30])/8 + t[31]/3 + (3*t[32])/2 - (4*t[35])/3 - 
       t[40]/2 + (1931*t[44])/288 - (2227*t[48])/288 + (553*t[50])/72 - 
       (553*t[52])/72 - (97*t[54])/72 + (623*t[60])/144 + (733*t[61])/48 - 
       (4267*t[62])/576 + (2627*t[63])/576 - (3449*t[64])/288 + 
       (1961*t[65])/864 - (6889*t[66])/864 - t[69] + t[72]/3 - t[73]/8 + 
       (11*t[75])/24 + t[76] + t[79]/8 - (59*t[83])/72 + (347*t[84])/96 + 
       (347*t[85])/96 + (197*t[86])/72 + (1339*t[87])/144 + 
       (1339*t[88])/288 - (33*t[89])/32 - (14*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      ((-79*t[2])/288 - (151*t[3])/36 + (157*t[4])/288 + (71*t[5])/48 + 
       (2059*t[6])/288 - (169*t[7])/24 + (943*t[8])/96 - (1159*t[9])/288 - 
       (583*t[10])/576 - (857*t[11])/144 + (109*t[12])/576 + 
       (509*t[13])/216 - (3107*t[14])/3456 - (1973*t[15])/1296 - 
       (5*t[20])/18 + (7*t[23])/12 + (7*t[24])/12 - (5*t[28])/9 - 
       (325*t[29])/72 + (199*t[30])/48 - (7*t[31])/12 - (545*t[32])/144 + 
       (577*t[33])/144 + (67*t[34])/18 - (3*t[35])/4 + (5*t[44])/2 + 
       (113*t[48])/144 - (67*t[49])/576 - (1225*t[50])/288 + 
       (67*t[51])/1152 + (1225*t[52])/288 + (67*t[53])/576 + 
       (1081*t[54])/144 + (55*t[59])/144 + (865*t[60])/96 - (155*t[61])/36 + 
       (163*t[62])/64 - (15379*t[63])/576 + (599*t[64])/72 + 
       (595*t[65])/288 - (1915*t[66])/288 - (5*t[73])/24 - (5*t[74])/24 + 
       (3*t[75])/8 + (3*t[76])/4 - (5*t[79])/24 + (5*t[81])/48 - 
       (5*t[82])/48 - (101*t[83])/72 + (1057*t[84])/288 + (319*t[85])/144 + 
       (125*t[86])/72 + (889*t[87])/96 + (889*t[88])/192 + (487*t[89])/64 - 
       (14*t[100])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-7*t[1])/9 - (83*t[2])/36 - (59*t[3])/72 + 
       (45*t[4])/2 - (349*t[5])/18 - (14119*t[6])/288 + (779*t[7])/8 - 
       (14879*t[8])/72 + (9043*t[9])/144 + (389*t[10])/72 + (1839*t[11])/32 - 
       (98*t[12])/9 + (133*t[13])/72 + (20765*t[14])/864 - 
       (3805*t[15])/2592 - (2*t[19])/3 - (26*t[28])/3 - (473*t[29])/36 + 
       (2*t[30])/3 - t[31] - (13*t[32])/9 + 2*t[33] - (23*t[34])/9 - 
       5*t[35] - 3*t[36] + 2*t[37] - t[38]/18 - t[39]/6 - t[40]/9 - 3*t[43] + 
       (1157*t[44])/36 + (13*t[45])/9 + t[46]/2 - t[47]/9 - (2077*t[48])/32 + 
       (281*t[49])/72 + (15923*t[50])/288 - (251*t[51])/144 - 
       (5393*t[52])/96 - (49*t[53])/8 - (1847*t[54])/32 - (4*t[59])/3 + 
       (319*t[60])/16 + (9727*t[61])/144 - (17813*t[62])/288 + 
       (30701*t[63])/288 - (36677*t[64])/288 - (27589*t[65])/432 - 
       (31219*t[66])/432 - 10*t[73] + (28*t[74])/9 - 11*t[75] - 
       (59*t[76])/6 - (5*t[77])/6 + (241*t[78])/18 - 2*t[79] - (41*t[80])/3 + 
       (9*t[81])/2 - (13*t[82])/2 + (56*t[83])/3 + (111*t[84])/16 + 
       (1007*t[85])/144 - (56*t[86])/3 - (4357*t[87])/144 - (525*t[88])/32 - 
       (1711*t[89])/32 + (16*t[95])/9 - 3*t[96] - (20*t[97])/9 - 
       (200*t[98])/3 + (194*t[99])/3 - (25*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u]*
      (t[1]/18 + (20*t[2])/9 + (3077*t[3])/144 - (137*t[4])/12 + 
       (17*t[5])/3 - (7229*t[6])/288 + (203*t[7])/18 - (1771*t[8])/36 - 
       (1057*t[9])/144 - (71*t[10])/9 + (247*t[11])/96 - (77*t[12])/18 - 
       (1637*t[13])/144 + (6097*t[14])/864 + (10183*t[15])/1296 - t[18]/9 - 
       (13*t[20])/3 + t[22]/18 - (2*t[23])/3 - (29*t[28])/3 - (19*t[29])/9 + 
       (145*t[30])/18 - (146*t[32])/9 + (85*t[33])/9 - (197*t[34])/18 - 
       8*t[35] + 3*t[36] + (7*t[38])/9 - (35*t[39])/18 + (29*t[40])/9 + 
       t[41]/9 + (2*t[42])/9 - (8*t[44])/3 + (11*t[45])/3 - (5*t[46])/9 - 
       (10*t[47])/3 - (4003*t[48])/288 - (197*t[49])/36 + (1255*t[50])/96 + 
       (107*t[51])/36 - (4501*t[52])/288 + (55*t[53])/12 - (1207*t[54])/96 - 
       (13*t[59])/9 + (1693*t[60])/144 + (271*t[61])/48 - (2927*t[62])/288 + 
       (10727*t[63])/288 - (1103*t[64])/32 - (12325*t[65])/432 + 
       (3857*t[66])/432 - t[69] - t[72] - 11*t[73] + (46*t[74])/9 - 
       13*t[75] - (167*t[76])/18 - (49*t[77])/18 + (91*t[78])/9 + 
       (7*t[79])/2 - (13*t[80])/3 - (65*t[81])/9 + (131*t[82])/18 + 
       (71*t[83])/3 + (203*t[84])/144 - (391*t[85])/48 + (53*t[86])/6 + 
       (551*t[87])/144 + (15*t[88])/32 - (1429*t[89])/288 + (16*t[95])/9 - 
       (4*t[96])/3 - (25*t[97])/18 - (200*t[98])/3 + (194*t[99])/3 - 
       (25*t[100])/6) + HPL[{1}, 1 - u]^2*Ot[u, v, w]*
      ((-19*t[3])/8 - (151*t[5])/48 + (19*t[6])/24 + (16*t[7])/3 + 
       (37*t[8])/24 + (51*t[9])/16 - (7*t[10])/24 - t[11]/2 + (7*t[12])/48 - 
       (31*t[13])/24 + (661*t[14])/144 + (997*t[15])/864 - (11*t[28])/6 - 
       (11*t[29])/8 + t[30]/2 + (25*t[44])/24 - (43*t[48])/12 + 
       (53*t[50])/24 - (53*t[52])/24 + (19*t[54])/24 - (19*t[60])/6 + 
       (35*t[61])/4 - (107*t[62])/48 + (283*t[63])/48 - (79*t[64])/24 + 
       (223*t[65])/72 + (301*t[66])/72 - t[73]/2 - (5*t[75])/2 + t[79]/2 + 
       (10*t[83])/3 + (5*t[84])/8 + (5*t[85])/8 + (7*t[86])/6 + 
       (19*t[87])/6 + (19*t[88])/12 + t[89]/2 - 4*t[100]) + 
     HPL[{1}, 1 - w]^2*Ot[u, v, w]*((11*t[2])/24 - (7*t[3])/6 + 
       (17*t[4])/24 + (3*t[5])/4 - (25*t[6])/24 - t[7]/2 - (31*t[8])/8 - 
       (53*t[9])/24 + t[10]/48 + (29*t[11])/12 + (5*t[12])/48 + 
       (17*t[13])/9 + (329*t[14])/288 + (67*t[15])/216 - (2*t[20])/3 - 
       (4*t[28])/3 - (11*t[29])/6 + (3*t[30])/4 - (37*t[32])/12 + 
       (29*t[33])/12 - (2*t[34])/3 - t[35] + t[44]/2 - (13*t[48])/6 + 
       t[49]/48 - (5*t[50])/24 - t[51]/96 + (5*t[52])/24 - t[53]/48 - 
       (13*t[54])/12 - t[59]/4 + (9*t[60])/8 + (25*t[61])/6 - (67*t[62])/16 - 
       (143*t[63])/48 + (61*t[64])/24 - (31*t[65])/24 - (241*t[66])/24 - 
       t[73]/2 + t[74]/2 - (5*t[75])/2 + t[79]/2 + t[81]/4 - t[82]/4 + 
       (10*t[83])/3 + (23*t[84])/24 + (2*t[85])/3 + (7*t[86])/6 + 
       (25*t[87])/8 + (25*t[88])/16 + (41*t[89])/16 - 4*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((45*t[2])/8 + (53*t[3])/6 + (53*t[4])/24 + (103*t[5])/4 + 
       (137*t[6])/24 - (67*t[7])/2 - (43*t[8])/8 - (821*t[9])/24 - 
       (59*t[10])/48 + t[11]/6 - (103*t[12])/48 + (193*t[13])/18 - 
       (2251*t[14])/288 - (1367*t[15])/216 - (2*t[20])/3 + 2*t[23] + 
       2*t[24] - (4*t[28])/3 - (83*t[29])/6 - (41*t[30])/4 - 2*t[31] - 
       (121*t[32])/12 + (113*t[33])/12 - (2*t[34])/3 - 9*t[35] - 
       (17*t[44])/2 - (53*t[48])/12 + (37*t[49])/48 - (527*t[50])/24 - 
       (37*t[51])/96 + (527*t[52])/24 - (37*t[53])/48 + (7*t[54])/6 - 
       (23*t[59])/12 + (201*t[60])/8 - (64*t[61])/3 - (59*t[62])/16 - 
       (2759*t[63])/48 + (667*t[64])/24 - (527*t[65])/24 - (1057*t[66])/24 - 
       (5*t[73])/2 + (5*t[74])/2 - (9*t[75])/2 - 6*t[76] + (5*t[79])/2 + 
       (5*t[81])/4 - (5*t[82])/4 + (4*t[83])/3 + (71*t[84])/24 + 
       (25*t[85])/6 - (29*t[86])/6 + (9*t[87])/8 + (9*t[88])/16 + 
       (273*t[89])/16 - 4*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*((-99*t[3])/8 - (1219*t[5])/48 + 
       (385*t[6])/24 + (52*t[7])/3 + (961*t[8])/24 + (343*t[9])/16 + 
       (29*t[10])/24 - (69*t[11])/4 - (29*t[12])/48 - (275*t[13])/24 + 
       (3109*t[14])/144 + (5593*t[15])/864 - (23*t[28])/6 + (9*t[29])/8 + 
       (9*t[30])/2 - 2*t[31] - 4*t[35] + 3*t[40] - (35*t[44])/24 - 
       (13*t[48])/3 + (191*t[50])/24 - (191*t[52])/24 + (385*t[54])/24 - 
       (50*t[60])/3 + (117*t[61])/4 + (325*t[62])/48 + (1963*t[63])/48 - 
       (769*t[64])/24 + (1663*t[65])/72 + (4573*t[66])/72 - 2*t[72] - 
       (5*t[73])/2 - (9*t[75])/2 - 6*t[76] + (5*t[79])/2 + (4*t[83])/3 + 
       (21*t[84])/8 + (21*t[85])/8 - (29*t[86])/6 + (8*t[87])/3 + 
       (4*t[88])/3 + (69*t[89])/4 - 4*t[100]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((35*t[3])/32 - t[4]/8 + (11*t[5])/48 - (19*t[6])/6 + (61*t[7])/16 - 
       (331*t[8])/48 - (17*t[9])/24 - (11*t[10])/48 + (83*t[11])/24 + 
       (7*t[12])/48 - (17*t[13])/96 + (175*t[14])/96 + (857*t[15])/1728 - 
       (11*t[28])/6 - (19*t[29])/24 - (13*t[30])/24 - (5*t[32])/6 - t[33]/8 - 
       (5*t[34])/12 + (4*t[44])/3 - (95*t[48])/48 - t[49]/16 + 
       (33*t[50])/16 + t[51]/32 - (33*t[52])/16 + t[53]/16 - (73*t[54])/24 + 
       t[59]/24 - (61*t[60])/24 + (65*t[61])/12 - (29*t[62])/6 + 
       (151*t[63])/24 - (27*t[64])/16 - (397*t[65])/144 - (145*t[66])/48 - 
       t[73]/2 + t[74]/6 - (5*t[75])/2 + t[79]/2 - t[81]/12 + t[82]/12 + 
       (10*t[83])/3 - (29*t[84])/48 - (35*t[85])/48 + (7*t[86])/6 - 
       (25*t[87])/16 - (71*t[88])/96 - (155*t[89])/48 - t[95]/3 - 4*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      (-t[1]/4 + (25*t[2])/48 + (539*t[3])/192 - (49*t[4])/12 + 
       (133*t[5])/48 + (133*t[6])/192 - (17*t[7])/32 + (551*t[8])/96 - 
       (109*t[9])/48 - (101*t[10])/48 - (27*t[11])/64 + (83*t[12])/32 - 
       (293*t[13])/192 - (1255*t[14])/576 + (439*t[15])/3456 + t[20]/6 + 
       (11*t[28])/12 + (7*t[29])/8 + (11*t[30])/48 + t[31]/2 + 
       (59*t[32])/48 - (47*t[33])/48 + (35*t[34])/24 + (5*t[35])/2 + 
       t[36]/2 - t[38]/2 - (3*t[40])/4 + t[43]/4 + (2*t[44])/3 - 
       (7*t[45])/4 + (5*t[47])/4 + (337*t[48])/192 + (19*t[49])/24 - 
       (83*t[50])/192 - (31*t[51])/48 + (371*t[52])/192 - (19*t[53])/24 - 
       (25*t[54])/64 - t[59]/48 - (809*t[60])/96 - (539*t[61])/96 - 
       (85*t[62])/192 + (607*t[63])/64 + (2959*t[64])/192 + (727*t[65])/144 + 
       (353*t[66])/48 + t[72]/2 + (3*t[73])/4 - (5*t[74])/3 + (7*t[75])/4 + 
       (7*t[76])/4 - t[77]/2 - (3*t[78])/2 - (5*t[79])/4 + (5*t[80])/2 + 
       t[81]/12 + (5*t[82])/12 - (5*t[83])/12 - (191*t[84])/48 - 
       (17*t[85])/16 + (101*t[86])/12 + (3*t[87])/4 - (11*t[88])/48 - 
       (1099*t[89])/192 + (4*t[95])/3 + t[97]/4 + 12*t[98] - 12*t[99] - 
       4*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      (-t[1] - (8*t[2])/3 - (437*t[3])/24 - (73*t[4])/4 - (3*t[5])/8 + 
       (31*t[6])/2 - (65*t[7])/6 + (103*t[8])/3 + (9*t[9])/8 - 
       (41*t[10])/24 - (145*t[11])/6 + (163*t[12])/12 - (1877*t[13])/108 + 
       (2123*t[14])/144 - (823*t[15])/216 + (2*t[20])/3 + (8*t[24])/3 + 
       (2*t[27])/3 + t[29]/6 - 4*t[30] + 3*t[31] + (23*t[32])/6 - 
       (2*t[33])/3 + (17*t[34])/3 + t[36] + (8*t[37])/3 - t[38]/6 + t[39]/6 - 
       (11*t[40])/3 + (5*t[41])/6 - (5*t[42])/6 + t[43]/3 - (17*t[44])/4 - 
       4*t[45] - t[46]/2 + 2*t[47] + (21*t[48])/4 + (23*t[49])/24 - 
       (109*t[50])/12 - (11*t[51])/16 + (169*t[52])/12 - (7*t[53])/24 + 
       (191*t[54])/12 - (4*t[59])/3 + (70*t[60])/3 - (313*t[61])/12 + 
       (29*t[62])/6 - (55*t[63])/3 + (271*t[64])/8 - (71*t[65])/6 + 
       (299*t[66])/18 + (2*t[70])/3 - (2*t[71])/3 + t[74] - t[75] + 
       (19*t[76])/3 - t[77]/3 - (10*t[78])/3 + 4*t[79] - t[80] - 
       (4*t[81])/3 + (13*t[82])/3 - (7*t[83])/3 - (7*t[84])/4 + 
       (97*t[85])/12 - 4*t[86] - (77*t[87])/12 + t[88]/8 - 2*t[89] - 
       2*t[95] + t[96]/3 + 2*t[97] + 40*t[98] - 44*t[99] - (7*t[100])/2) + 
     B7[w, u, v]*HPL[{1}, 1 - u]*((-3*t[2])/2 - t[3]/4 + t[6]/2 - t[7]/2 + 
       t[8] - t[9] - t[10]/2 + t[11]/4 - t[13]/24 - (17*t[14])/12 + 
       (23*t[15])/24 - t[20] - t[34] + t[48]/4 - t[50]/4 + t[52]/4 + 
       t[54]/4 + t[59]/2 - 2*t[60] + t[61]/2 - t[64]/2 + t[65] + 
       (2*t[66])/3 + t[69] - t[70] + t[71] - t[83] + t[87] + t[88]/2 - 
       t[89]/2 - 3*t[100]) + B8[w, u, v]*HPL[{1}, 1 - u]*
      ((-9*t[2])/4 - t[3]/4 - (5*t[5])/8 + t[7]/2 + (3*t[8])/2 - (5*t[9])/8 - 
       t[10]/2 + (3*t[12])/8 - t[13]/8 - (25*t[14])/24 + (67*t[15])/48 - 
       t[20] - t[28] + t[32] - t[33] - t[34] + t[35] - t[48]/4 + t[50]/4 - 
       t[52]/4 - t[54]/4 + t[59]/2 - 3*t[60] + t[62]/4 + (11*t[63])/4 - 
       (9*t[64])/4 + (13*t[65])/6 + (11*t[66])/6 + t[69] - t[70] + t[71] - 
       t[74] - t[75] + t[83] + 2*t[87] + t[88] - t[89]/4 - 3*t[100]) + 
     B7[u, v, w]*HPL[{1}, 1 - w]*(t[4]/4 - t[5]/8 + t[6]/2 - t[7]/4 + 
       (3*t[8])/4 + (5*t[9])/8 - t[10]/8 + t[11]/2 + t[12]/4 + (5*t[13])/24 + 
       (13*t[14])/48 + t[15]/48 + t[48]/4 - t[49]/8 - t[50]/4 + t[51]/16 + 
       t[52]/4 + t[53]/8 + t[54]/2 + (3*t[60])/4 + (7*t[61])/4 - 
       (5*t[62])/8 - (7*t[63])/8 - (5*t[64])/8 + (7*t[65])/12 + t[66]/12 - 
       t[83] + t[84]/4 - t[85]/4 - t[87]/4 - t[88]/8 + t[89]/8 - 3*t[100]) + 
     B8[u, v, w]*HPL[{1}, 1 - w]*(t[4] + (7*t[5])/8 + 2*t[6] - (13*t[7])/4 + 
       (25*t[8])/4 - (11*t[9])/8 - t[10]/2 - t[11]/4 - t[12]/8 + 
       (9*t[13])/8 - t[14]/6 - (3*t[15])/16 - t[44] + (7*t[48])/4 + t[49]/4 - 
       (7*t[50])/4 - t[51]/8 + (7*t[52])/4 - t[53]/4 + (5*t[54])/4 + 
       t[60]/2 + t[61]/2 + (7*t[62])/4 - (15*t[63])/4 + 3*t[64] + 
       (5*t[65])/4 - (13*t[66])/12 - t[75] + t[81]/2 - t[82]/2 + t[83] + 
       t[84]/4 + t[85]/2 + 2*t[89] - 3*t[100]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1, 1}, 1 - w]*((43*t[2])/8 - (19*t[3])/2 + (11*t[4])/8 - 
       (27*t[5])/8 - (79*t[6])/8 + (57*t[7])/4 - (207*t[8])/8 + 17*t[9] + 
       (7*t[10])/16 + 11*t[11] - (7*t[12])/16 + (61*t[13])/24 + 
       (1523*t[14])/96 + (65*t[15])/144 - 2*t[20] - 4*t[28] - (5*t[29])/2 - 
       (15*t[30])/4 - (13*t[32])/4 + (5*t[33])/4 - 2*t[34] - 3*t[35] - 
       (9*t[44])/2 - (19*t[48])/2 + (7*t[49])/16 + (43*t[50])/8 - 
       (7*t[51])/32 - (43*t[52])/8 - (7*t[53])/16 - 10*t[54] - 
       (35*t[59])/12 + (165*t[60])/8 + (23*t[61])/4 - (255*t[62])/16 - 
       (137*t[63])/16 - (53*t[64])/2 - (133*t[65])/8 - (275*t[66])/8 - 
       (3*t[73])/2 + (3*t[74])/2 - (15*t[75])/2 + (3*t[79])/2 + (3*t[81])/4 - 
       (3*t[82])/4 + 10*t[83] + (41*t[84])/8 + (23*t[85])/4 + (7*t[86])/2 - 
       (75*t[87])/8 - (75*t[88])/16 + (33*t[89])/16 - 3*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - u]*((-33*t[3])/8 - 
       (139*t[5])/16 + (73*t[6])/8 + 4*t[7] + (205*t[8])/8 + (213*t[9])/16 + 
       (5*t[10])/8 - (39*t[11])/4 - (5*t[12])/16 - (23*t[13])/8 + 
       (685*t[14])/48 - (95*t[15])/288 - (5*t[28])/2 + (15*t[29])/8 - 
       (9*t[30])/2 - (59*t[44])/8 - t[48] - t[50]/8 + t[52]/8 + 
       (73*t[54])/8 + 10*t[60] + (15*t[61])/4 + (109*t[62])/16 - 
       (5*t[63])/16 - (145*t[64])/8 + (31*t[65])/24 + (325*t[66])/24 - 
       (3*t[73])/2 - (15*t[75])/2 + (3*t[79])/2 + (17*t[83])/2 + 
       (39*t[84])/8 + (39*t[85])/8 - (5*t[86])/2 - 10*t[87] - 5*t[88] + 
       (39*t[89])/4 - 3*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - v]*((-41*t[2])/12 + (5*t[3])/2 + t[4]/4 + 
       (15*t[5])/8 + (121*t[6])/8 - (35*t[7])/2 + (69*t[8])/2 - 
       (127*t[9])/8 - (11*t[10])/8 - (113*t[11])/8 + 3*t[12] + (19*t[13])/8 - 
       (605*t[14])/48 - (401*t[15])/144 - t[23] - t[24] - 5*t[29] + 5*t[30] + 
       t[31] - (7*t[32])/2 + 4*t[33] + 4*t[34] + 8*t[35] + (13*t[44])/2 + 
       (49*t[48])/8 - t[49]/8 - (87*t[50])/8 + t[51]/16 + (87*t[52])/8 + 
       t[53]/8 + (121*t[54])/8 + (7*t[59])/6 - (15*t[60])/2 - (17*t[61])/2 + 
       (21*t[62])/2 - 25*t[63] + (141*t[64])/4 + (113*t[65])/6 + 
       (55*t[66])/6 - 3*t[74] + 6*t[75] - 3*t[79] - 4*t[83] + t[84] + 
       (3*t[85])/2 + 9*t[86] + (39*t[87])/2 + (39*t[88])/4 + (39*t[89])/4 - 
       3*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-53*t[3])/4 - (127*t[5])/8 + (35*t[6])/4 + (23*t[7])/2 + 
       (69*t[8])/4 + (81*t[9])/8 + t[10]/4 - 9*t[11] - t[12]/8 - 
       (23*t[13])/4 + (221*t[14])/24 + (93*t[15])/16 - t[20] - t[28] + 
       t[29]/4 + 7*t[30] - t[31] + (3*t[32])/2 - 4*t[35] + (3*t[40])/2 + 
       (25*t[44])/4 - t[48]/2 + (21*t[50])/4 - (21*t[52])/4 + (35*t[54])/4 - 
       19*t[60] + (47*t[61])/2 + (33*t[62])/8 + (167*t[63])/8 - 6*t[64] + 
       (103*t[65])/4 + (129*t[66])/4 - t[69] - t[72] - t[73] + 5*t[75] - 
       3*t[76] + t[79] - (9*t[83])/2 + (5*t[84])/4 + (5*t[85])/4 - t[86] + 
       22*t[87] + 11*t[88] + 10*t[89] - 3*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (-t[1]/4 + t[2]/4 - (65*t[3])/32 - 2*t[4] + (31*t[5])/96 + 
       (497*t[6])/96 - (13*t[7])/4 + (259*t[8])/24 + (109*t[9])/96 + 
       t[10]/48 - (331*t[11])/96 + (155*t[12])/96 - (61*t[13])/96 + 
       (113*t[14])/48 + (913*t[15])/864 + (11*t[28])/12 + (55*t[29])/48 - 
       (5*t[30])/48 + t[31]/2 + (17*t[32])/48 + t[33]/16 + (19*t[34])/12 + 
       t[35] - t[38]/2 - (3*t[40])/4 - (89*t[44])/48 - (7*t[45])/4 + 
       (5*t[47])/4 + (287*t[48])/96 + t[49] - (61*t[50])/32 - (3*t[51])/4 + 
       (109*t[52])/32 - t[53] + (329*t[54])/96 + t[59]/6 - (29*t[60])/48 - 
       (193*t[61])/48 + (505*t[62])/96 + (349*t[63])/96 + (95*t[64])/32 + 
       (205*t[65])/72 + (163*t[66])/24 + t[72]/2 + t[73]/4 - t[74]/3 + 
       (7*t[75])/4 + (7*t[76])/4 - t[78] - t[79]/4 + (3*t[80])/2 + 
       (5*t[81])/12 + t[82]/12 - (11*t[83])/12 - (7*t[84])/6 + 
       (13*t[85])/12 - (7*t[86])/12 - (9*t[87])/4 - (4*t[88])/3 + 
       (5*t[89])/96 + (2*t[95])/3 + t[97]/4 + 12*t[98] - 11*t[99] - 
       3*t[100]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^3*
      (-t[1]/8 + (7*t[2])/32 + (83*t[3])/128 - (33*t[4])/16 + 
       (227*t[5])/128 - (75*t[6])/128 + (49*t[7])/64 - t[8]/2 - 
       (105*t[9])/128 - (65*t[10])/64 + (129*t[11])/128 + (163*t[12])/128 - 
       (493*t[13])/1152 - (37*t[14])/48 + (23*t[15])/144 - (3*t[28])/16 - 
       (3*t[29])/64 + t[30]/16 + (3*t[31])/8 + (3*t[32])/16 - (3*t[33])/16 + 
       (13*t[34])/16 + t[35] + t[36]/4 - t[38]/4 - (9*t[40])/16 + t[43]/8 + 
       (53*t[44])/64 - (7*t[45])/8 + (5*t[47])/8 - (61*t[48])/128 + 
       (11*t[49])/32 + (17*t[50])/128 - (19*t[51])/64 + (79*t[52])/128 - 
       (11*t[53])/32 - (131*t[54])/128 + t[59]/32 - (167*t[60])/64 - 
       (93*t[61])/64 - (67*t[62])/32 + (27*t[63])/8 + (897*t[64])/128 + 
       (35*t[65])/64 - (61*t[66])/192 + (3*t[72])/8 + (5*t[73])/16 - 
       t[74]/2 + (3*t[75])/16 + (5*t[76])/4 - t[77]/4 - (3*t[78])/4 - 
       (5*t[79])/16 + (5*t[80])/4 + t[82]/4 + (11*t[83])/16 - (99*t[84])/64 - 
       (15*t[85])/64 + (71*t[86])/16 + (21*t[87])/16 + (7*t[88])/16 - 
       (429*t[89])/128 + t[95]/2 + t[97]/8 + 6*t[98] - 6*t[99] - 3*t[100]) + 
     HPL[{0, 1}, 1 - w]*M1[v, w, u]*(t[1] + (31*t[2])/24 - (419*t[3])/48 + 
       (59*t[4])/8 - (157*t[5])/16 + (127*t[6])/32 - (133*t[7])/24 + 
       (38*t[8])/3 + (23*t[9])/4 + (307*t[10])/48 - (293*t[11])/96 - 
       (19*t[12])/3 + (1259*t[13])/432 + (181*t[14])/144 - (857*t[15])/864 - 
       (2*t[20])/3 + t[22] - (2*t[24])/3 + t[27]/3 - (17*t[29])/12 + t[30] - 
       t[31] - t[32]/3 + (7*t[33])/6 - (2*t[34])/3 - 2*t[36] - (7*t[37])/6 + 
       (2*t[38])/3 - (7*t[39])/6 + (29*t[40])/12 - t[41]/12 + t[42]/12 - 
       t[43]/12 - (9*t[44])/8 + 5*t[45] + t[46]/2 - (9*t[47])/2 + 
       (77*t[48])/32 - (103*t[49])/48 + (11*t[50])/96 + (41*t[51])/32 - 
       (299*t[52])/96 + (71*t[53])/48 + (665*t[54])/96 - t[59]/6 + 
       (833*t[60])/48 + (553*t[61])/48 + (331*t[62])/96 - (2443*t[63])/96 - 
       (413*t[64])/32 + (269*t[65])/48 - (1555*t[66])/144 + t[70]/3 - 
       t[71]/3 + 2*t[73] + (3*t[74])/2 - 2*t[75] - (23*t[76])/6 + 
       (5*t[77])/6 + (11*t[78])/6 + 4*t[79] - 3*t[80] + t[81]/12 - 
       (19*t[82])/12 - (5*t[83])/3 + (177*t[84])/16 + (137*t[85])/48 - 
       3*t[86] + (287*t[87])/48 + (149*t[88])/32 + (453*t[89])/32 - 3*t[95] - 
       (4*t[96])/3 - t[97] - 28*t[98] + 30*t[99] - 3*t[100]) + 
     HPL[{0, 1}, 1 - w]*M1[u, v, w]*((5*t[1])/4 + (119*t[2])/24 - 
       (547*t[3])/48 + (9*t[4])/8 - (65*t[5])/16 + (157*t[6])/32 - 
       (221*t[7])/24 + (295*t[8])/12 - (53*t[9])/8 + (137*t[10])/48 - 
       (391*t[11])/96 - (175*t[12])/24 - (1253*t[13])/432 - (667*t[14])/144 + 
       (1217*t[15])/864 + t[19] - t[20]/3 + t[21] - t[23] - t[24]/3 + 
       (2*t[27])/3 - (13*t[29])/12 + t[30] - t[31] + (13*t[32])/3 + 
       (5*t[33])/6 - (29*t[34])/6 - 2*t[36] - (11*t[37])/6 + (5*t[38])/6 - 
       (4*t[39])/3 + (25*t[40])/12 + (5*t[41])/6 - t[42]/3 + t[43]/12 + 
       (11*t[44])/8 + (17*t[45])/2 + t[46]/2 - 8*t[47] + (151*t[48])/32 - 
       (197*t[49])/48 + (97*t[50])/96 + (83*t[51])/32 - (241*t[52])/96 + 
       (133*t[53])/48 + (643*t[54])/96 - t[59]/3 + (655*t[60])/48 + 
       (947*t[61])/48 - (559*t[62])/96 - (2705*t[63])/96 - (127*t[64])/32 + 
       (451*t[65])/48 - (893*t[66])/144 + t[69] + (2*t[70])/3 - (2*t[71])/3 + 
       3*t[72] + 2*t[73] + (3*t[74])/2 - 2*t[75] - (49*t[76])/6 + 
       (7*t[77])/6 + (37*t[78])/6 + 4*t[79] - 3*t[80] - (19*t[81])/12 - 
       (29*t[82])/12 - t[83]/3 + (167*t[84])/16 - (149*t[85])/48 + t[86] + 
       (637*t[87])/48 + (463*t[88])/32 + (291*t[89])/32 - 3*t[95] - 
       (11*t[96])/3 - t[97] - 56*t[98] + 54*t[99] - 3*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      (5*t[1] - (161*t[2])/12 + (193*t[3])/6 - (28*t[4])/3 + (29*t[5])/4 - 
       (3*t[6])/2 - (9*t[7])/2 - (59*t[8])/12 - 30*t[9] - (9*t[10])/2 + 
       (353*t[11])/12 - (5*t[12])/4 + (383*t[13])/18 - (965*t[14])/72 + 
       (949*t[15])/108 - (2*t[16])/3 + (4*t[24])/3 + (29*t[25])/3 - 
       11*t[26] - t[27] - (10*t[29])/3 + (16*t[30])/3 - (37*t[32])/3 + 
       (22*t[33])/3 - 2*t[34] - 4*t[36] - t[37]/3 + (2*t[38])/3 - 
       (13*t[39])/6 + (10*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 - 
       (5*t[43])/3 + 5*t[44] - (17*t[45])/3 - t[46]/6 + 3*t[47] - 3*t[48] - 
       (191*t[49])/12 - (7*t[50])/6 + (91*t[51])/24 - (5*t[52])/6 + 
       (79*t[53])/12 - (37*t[54])/3 + (7*t[59])/6 + (15*t[60])/4 + 
       (505*t[61])/12 - (137*t[62])/12 + (821*t[63])/12 + (637*t[64])/24 + 
       (479*t[65])/36 + (106*t[66])/3 + (3*t[67])/2 + t[68]/2 - 5*t[69] + 
       t[70]/3 - t[71]/3 + (17*t[72])/3 + (11*t[74])/3 - (89*t[76])/6 - 
       t[77] + (29*t[78])/3 + 17*t[80] - (38*t[81])/3 + (38*t[82])/3 + 
       (8*t[83])/3 - (55*t[84])/12 - (64*t[85])/3 - 8*t[86] + (10*t[87])/3 + 
       (43*t[88])/3 - (787*t[89])/24 - (7*t[90])/6 - (4*t[95])/3 - 
       (25*t[96])/3 - t[97]/3 - 88*t[98] + 72*t[99] - 3*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (t[1]/12 + (119*t[2])/48 + (1327*t[3])/192 - (121*t[4])/24 + 
       (341*t[5])/36 + (9199*t[6])/576 - (2543*t[7])/96 + (11761*t[8])/288 - 
       (1123*t[9])/36 - (269*t[10])/36 - (9635*t[11])/576 + (647*t[12])/288 + 
       (689*t[13])/576 - (695*t[14])/192 + (63685*t[15])/10368 + t[20] - 
       t[22] - (169*t[28])/36 - (391*t[29])/72 - (287*t[30])/144 - 
       (7*t[31])/6 - (955*t[32])/144 + (257*t[33])/48 - (79*t[34])/72 - 
       (7*t[35])/3 + t[36] - t[37] + t[38]/6 + t[40]/4 - t[41]/2 + t[42]/2 - 
       t[43]/2 - (125*t[44])/36 + (7*t[45])/12 - t[46]/2 - (17*t[47])/12 + 
       (4291*t[48])/576 - (45*t[49])/16 - (833*t[50])/64 + (107*t[51])/96 + 
       (801*t[52])/64 + (45*t[53])/16 + (9007*t[54])/576 + (197*t[59])/144 - 
       (3391*t[60])/288 + (595*t[61])/288 + (15461*t[62])/576 - 
       (6061*t[63])/576 - (87*t[64])/64 + (7409*t[65])/432 + 
       (1349*t[66])/48 + t[69] + (5*t[72])/6 - (31*t[73])/12 + (2*t[74])/9 - 
       (37*t[75])/12 - (25*t[76])/12 + t[78]/3 + (55*t[79])/12 + t[80]/2 - 
       (61*t[81])/36 + (91*t[82])/36 + (151*t[83])/36 + (223*t[84])/144 - 
       (329*t[85])/144 - (559*t[86])/36 + (145*t[87])/12 + (875*t[88])/144 + 
       (7363*t[89])/576 - (4*t[95])/9 - t[97]/12 - 4*t[98] + 4*t[99] - 
       (17*t[100])/6) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-5*t[1])/12 + (11*t[2])/12 - (29*t[3])/96 - 
       (10*t[4])/3 + (1301*t[5])/288 + (1441*t[6])/288 - (197*t[7])/24 + 
       (331*t[8])/36 - (409*t[9])/288 - (97*t[10])/144 - (407*t[11])/288 + 
       (877*t[12])/288 + (73*t[13])/96 - (14*t[14])/9 + (397*t[15])/324 + 
       (169*t[28])/36 + (353*t[29])/144 + (77*t[30])/144 + (5*t[31])/6 + 
       (55*t[32])/144 + (5*t[33])/16 + (107*t[34])/36 + (5*t[35])/3 - 
       (5*t[38])/6 - (5*t[40])/4 - (403*t[44])/144 - (35*t[45])/12 + 
       (25*t[47])/12 + (1891*t[48])/288 + (5*t[49])/3 - (413*t[50])/96 - 
       (5*t[51])/4 + (653*t[52])/96 - (5*t[53])/3 + (601*t[54])/288 + 
       t[59]/9 + (203*t[60])/144 - (1853*t[61])/144 + (1661*t[62])/288 - 
       (139*t[63])/288 + (1051*t[64])/96 + (113*t[65])/216 + (17*t[66])/24 + 
       (5*t[72])/6 + (9*t[73])/4 - (5*t[74])/9 + (61*t[75])/12 + 
       (35*t[76])/12 - (5*t[78])/3 - (9*t[79])/4 + (5*t[80])/2 + 
       (25*t[81])/36 + (5*t[82])/36 - (241*t[83])/36 - (115*t[84])/36 + 
       (5*t[85])/9 + (67*t[86])/36 - (77*t[87])/12 - (41*t[88])/9 - 
       (1163*t[89])/288 + (10*t[95])/9 + (5*t[97])/12 + 20*t[98] - 20*t[99] - 
       (8*t[100])/3) + HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - w]*
      ((107*t[3])/96 + (575*t[5])/192 - (127*t[6])/96 - (67*t[7])/24 - 
       (43*t[8])/32 - (251*t[9])/64 - (25*t[10])/96 + (19*t[11])/12 + 
       (25*t[12])/192 + (383*t[13])/288 - (1289*t[14])/576 - 
       (2273*t[15])/3456 - (25*t[28])/24 - t[29]/32 - (5*t[30])/8 + 
       (5*t[31])/12 + (5*t[35])/6 - (5*t[40])/8 + (29*t[44])/96 - 
       (5*t[48])/16 - (133*t[50])/96 + (133*t[52])/96 - (127*t[54])/96 + 
       t[60]/2 - (3*t[61])/2 - (19*t[62])/192 - (965*t[63])/192 + 
       (173*t[64])/24 - (419*t[65])/288 - (667*t[66])/96 + (5*t[72])/12 - 
       (5*t[73])/24 - (5*t[75])/8 + (5*t[76])/4 + (5*t[79])/24 + 
       (37*t[83])/24 - (9*t[84])/32 - (9*t[85])/32 + (25*t[86])/24 + 
       (17*t[87])/8 + (17*t[88])/16 - (19*t[89])/12 - (5*t[100])/2) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - u]*((43*t[2])/36 - (5*t[3])/12 + 
       (65*t[4])/96 + (25*t[5])/12 - (11*t[6])/16 - (221*t[7])/96 - 
       (23*t[8])/24 - (29*t[9])/8 - (109*t[10])/192 + (61*t[11])/32 - 
       (65*t[12])/192 + (547*t[13])/288 + (877*t[14])/1152 - (77*t[15])/576 + 
       (5*t[23])/12 + (5*t[24])/12 - (35*t[29])/24 + (25*t[30])/48 - 
       (5*t[31])/12 - (65*t[32])/48 + (65*t[33])/48 - (7*t[35])/3 - 
       (5*t[44])/8 - (17*t[48])/32 + (25*t[49])/192 - (19*t[50])/24 - 
       (25*t[51])/384 + (19*t[52])/24 - (25*t[53])/192 - (103*t[54])/96 - 
       (19*t[59])/36 + (43*t[60])/32 + (15*t[61])/8 - (283*t[62])/192 - 
       (605*t[63])/192 + (59*t[64])/12 - (259*t[65])/288 - (2321*t[66])/288 - 
       (2*t[69])/3 + t[70]/3 - (13*t[71])/48 - (5*t[73])/8 + t[74]/4 - 
       (25*t[75])/24 + t[79]/4 + (5*t[81])/16 - (5*t[82])/16 + (7*t[83])/8 + 
       (13*t[84])/96 - (11*t[85])/48 - t[86]/12 + (157*t[87])/96 + 
       (157*t[88])/192 + (265*t[89])/192 - (5*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*
      ((-7*t[2])/48 - (187*t[3])/48 - t[4]/2 - (211*t[5])/48 + 
       (151*t[6])/192 + (85*t[7])/16 + (35*t[8])/12 + (475*t[9])/96 - 
       (5*t[10])/12 - (95*t[11])/192 + (25*t[12])/48 - (37*t[13])/32 + 
       (1031*t[14])/192 + (785*t[15])/1728 - (3*t[23])/16 - (11*t[28])/6 - 
       (13*t[29])/24 - (77*t[30])/48 - (25*t[32])/48 - (3*t[33])/16 + 
       (7*t[34])/12 + t[35] - (5*t[44])/12 - (251*t[48])/192 - t[49]/4 + 
       (59*t[50])/64 + t[51]/8 - (59*t[52])/64 + t[53]/4 + (247*t[54])/192 + 
       (5*t[59])/48 + (473*t[60])/96 + (433*t[61])/96 - (311*t[62])/64 - 
       (463*t[63])/192 - (327*t[64])/64 - (185*t[65])/96 - (89*t[66])/32 - 
       t[73]/2 + t[74]/6 - (5*t[75])/2 - t[81]/3 + t[82]/3 + (17*t[83])/6 + 
       (269*t[84])/96 + (221*t[85])/96 + (8*t[86])/3 - (61*t[87])/32 - 
       (79*t[88])/192 + (235*t[89])/192 - (4*t[95])/3 - (5*t[100])/2) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((3*t[2])/8 - (93*t[3])/32 - t[4]/2 - (43*t[5])/12 + (901*t[6])/192 - 
       (9*t[7])/4 + (755*t[8])/48 + (199*t[9])/96 + (11*t[10])/24 - 
       (941*t[11])/192 - (5*t[12])/48 - (47*t[13])/48 + (1069*t[14])/192 - 
       (77*t[15])/864 - (5*t[28])/6 + (23*t[29])/24 - (5*t[30])/3 - 
       t[32]/12 - t[33]/8 + (7*t[34])/12 - (191*t[44])/48 + (391*t[48])/192 - 
       t[49]/4 - (155*t[50])/64 + t[51]/8 + (155*t[52])/64 + t[53]/4 + 
       (997*t[54])/192 + t[59]/24 + (595*t[60])/96 + (121*t[61])/96 + 
       (497*t[62])/192 - (1249*t[63])/192 - (61*t[64])/64 - (59*t[65])/288 + 
       (87*t[66])/32 - t[73]/2 + (2*t[74])/3 - (5*t[75])/2 + t[79]/2 - 
       t[81]/3 + t[82]/3 + (17*t[83])/6 + (269*t[84])/96 + (221*t[85])/96 - 
       (5*t[86])/6 - (77*t[87])/32 - (127*t[88])/192 + (973*t[89])/192 - 
       (4*t[95])/3 - (5*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*(-t[1]/16 + (865*t[2])/288 - (1189*t[3])/288 - 
       (521*t[4])/144 + (203*t[5])/96 + (4147*t[6])/576 - (1007*t[7])/96 + 
       (1559*t[8])/96 - (827*t[9])/288 + (133*t[10])/144 - (3163*t[11])/576 + 
       (547*t[12])/288 + (151*t[13])/216 + (1613*t[14])/864 - 
       (3161*t[15])/2592 + t[19]/4 + t[20]/9 + t[21]/4 - t[22]/4 + t[23]/6 + 
       (5*t[24])/12 + t[25]/2 - t[26]/4 + t[27]/2 - (5*t[28])/18 - 
       (239*t[29])/72 - (95*t[30])/24 - (2*t[31])/3 - (11*t[32])/18 + 
       (151*t[33])/72 - (19*t[34])/72 - (9*t[35])/4 - t[37]/4 - (3*t[38])/8 + 
       t[39]/4 - (3*t[40])/4 + t[41]/16 - t[42]/16 - (35*t[44])/16 + 
       t[45]/4 + t[46]/4 + (1297*t[48])/576 - (613*t[49])/288 - 
       (3727*t[50])/576 + (469*t[51])/576 + (4231*t[52])/576 + 
       (397*t[53])/288 + (3323*t[54])/576 - (55*t[59])/144 + 
       (1553*t[60])/96 - (1331*t[61])/288 - (49*t[62])/192 - 
       (12581*t[63])/576 + (2837*t[64])/576 + (407*t[65])/288 - 
       (1499*t[66])/288 + t[70]/2 - t[71]/2 + (3*t[72])/2 - (5*t[73])/12 + 
       (23*t[74])/24 - (5*t[75])/4 - 3*t[76] - t[77]/4 + 3*t[78] + 
       (17*t[79])/24 + (5*t[80])/2 + t[81]/3 + t[82]/6 - (5*t[83])/36 + 
       (1217*t[84])/288 + (373*t[85])/288 - (77*t[86])/72 + (35*t[87])/96 + 
       (467*t[88])/192 + (465*t[89])/64 - t[95]/2 - (3*t[96])/2 - 9*t[98] + 
       6*t[99] - (7*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u]*(t[1]/16 + (31*t[2])/16 - (17*t[3])/2 + 
       (11*t[4])/16 - (289*t[5])/144 + (2951*t[6])/576 + (79*t[7])/144 + 
       (491*t[8])/36 + (325*t[9])/96 + (527*t[10])/288 - (155*t[11])/64 - 
       (151*t[12])/288 - (619*t[13])/288 + (389*t[14])/54 + 
       (7589*t[15])/5184 + t[19]/2 - t[20]/2 - t[21]/2 + t[22]/4 + t[23]/4 + 
       t[25]/4 - t[26]/4 - t[27]/4 - (5*t[28])/18 - (2*t[29])/3 - 
       (7*t[31])/12 + (17*t[32])/8 - t[33]/2 - t[34]/8 - t[35]/6 + t[37]/4 + 
       t[38]/8 - t[39]/4 + t[41]/16 + t[42]/16 - t[43]/8 - (17*t[44])/18 + 
       (3*t[45])/2 - t[46]/4 - (5*t[47])/4 + (1481*t[48])/576 + 
       (15*t[49])/32 - (227*t[50])/576 + (9*t[51])/64 + (299*t[52])/576 - 
       (15*t[53])/32 + (3059*t[54])/576 - t[59]/4 + (2279*t[60])/288 + 
       (811*t[61])/96 - (4037*t[62])/576 - (4451*t[63])/576 - 
       (2387*t[64])/576 + (727*t[65])/864 - (479*t[66])/864 + t[70]/2 - 
       t[71]/2 + (11*t[72])/12 + t[74]/4 - (5*t[75])/6 - (3*t[76])/2 + 
       t[77]/2 + (9*t[78])/4 - (5*t[80])/2 + t[81]/8 - (7*t[82])/8 + 
       (19*t[83])/36 + (313*t[84])/96 - (149*t[85])/96 + (14*t[86])/9 + 
       (583*t[87])/288 + (1951*t[88])/576 + (165*t[89])/64 - t[95]/2 - 
       t[96]/2 + t[97]/4 - 9*t[98] + 6*t[99] - (7*t[100])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - w]*(5*t[3] + (263*t[5])/24 - 
       (55*t[6])/6 - (10*t[7])/3 - (287*t[8])/12 - (75*t[9])/8 - 
       (13*t[10])/12 + (41*t[11])/4 + (13*t[12])/24 + (29*t[13])/6 - 
       (719*t[14])/72 - (911*t[15])/432 + t[28]/3 - (5*t[29])/4 + t[31] + 
       2*t[35] - (3*t[40])/2 + (43*t[44])/12 - (29*t[48])/12 - (4*t[50])/3 + 
       (4*t[52])/3 - (55*t[54])/6 + (25*t[60])/6 - (13*t[61])/2 - 
       (179*t[62])/24 - (317*t[63])/24 + (203*t[64])/12 - (131*t[65])/12 - 
       (1067*t[66])/36 + t[72] + t[73] + t[75] + 3*t[76] - t[79] - t[83]/3 - 
       (7*t[84])/4 - (7*t[85])/4 + (13*t[86])/3 + (10*t[87])/3 + 
       (5*t[88])/3 - (41*t[89])/4 - 2*t[100]) + HPL[{1}, 1 - u]^3*
      Omega2[v, w, u]*((-5*t[3])/4 - (13*t[5])/6 + (5*t[6])/6 + 
       (41*t[7])/12 + (11*t[8])/6 + (11*t[9])/4 - t[10]/3 - t[11]/2 + 
       t[12]/6 - (3*t[13])/4 + (26*t[14])/9 + (119*t[15])/216 - (2*t[28])/3 - 
       t[29]/2 + t[44]/12 - (23*t[48])/12 + (7*t[50])/6 - (7*t[52])/6 + 
       (5*t[54])/6 - (5*t[60])/6 + 5*t[61] - (47*t[62])/24 + (55*t[63])/24 - 
       (11*t[64])/6 + (47*t[65])/36 + (61*t[66])/36 - 2*t[75] + (5*t[83])/3 + 
       (3*t[84])/4 + (3*t[85])/4 + (4*t[86])/3 + (5*t[87])/6 + (5*t[88])/12 + 
       t[89]/2 - 2*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      Omega2[w, u, v]*((-5*t[3])/4 - (13*t[5])/6 + (5*t[6])/6 + 
       (41*t[7])/12 + (11*t[8])/6 + (11*t[9])/4 - t[10]/3 - t[11]/2 + 
       t[12]/6 - (3*t[13])/4 + (26*t[14])/9 + (95*t[15])/216 - (2*t[28])/3 - 
       t[29]/2 + t[44]/12 - (23*t[48])/12 + (7*t[50])/6 - (7*t[52])/6 + 
       (5*t[54])/6 - (5*t[60])/6 + 5*t[61] - (47*t[62])/24 + (55*t[63])/24 - 
       (11*t[64])/6 + (55*t[65])/36 + (61*t[66])/36 - 2*t[75] + (5*t[83])/3 + 
       (3*t[84])/4 + (3*t[85])/4 + (4*t[86])/3 + (5*t[87])/6 + (5*t[88])/12 + 
       t[89]/2 - 2*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - u]*
      (-t[2]/2 + (29*t[3])/12 + t[4]/6 + (15*t[5])/4 + (55*t[6])/24 - 
       7*t[7] + 5*t[8] - (29*t[9])/3 - (13*t[10])/12 - (31*t[11])/24 - 
       (2*t[12])/3 + (13*t[13])/36 - (143*t[14])/36 + (221*t[15])/216 + 
       (2*t[20])/3 + (2*t[23])/3 + t[24] + (4*t[28])/3 - (2*t[29])/3 + 
       2*t[30] - t[31] - (2*t[32])/3 + (4*t[33])/3 + (2*t[34])/3 - 2*t[35] + 
       (49*t[48])/24 - t[49]/12 - (55*t[50])/24 + t[51]/24 + (55*t[52])/24 + 
       t[53]/12 + (47*t[54])/24 - t[59]/3 - (11*t[60])/4 - (5*t[61])/12 + 
       (25*t[62])/8 - (59*t[63])/24 + (143*t[64])/24 + (25*t[65])/12 + 
       (173*t[66])/36 - t[71]/6 - (7*t[83])/3 - (13*t[84])/12 - 
       (29*t[85])/12 - (8*t[86])/3 + (15*t[87])/4 + (15*t[88])/8 + 
       (11*t[89])/8 - 2*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      Omega2[w, u, v]*(-t[2]/6 - (4*t[3])/3 + t[4]/6 - (3*t[5])/4 - t[6]/3 + 
       t[7]/4 - t[8]/2 - (5*t[9])/12 - t[10]/12 + (5*t[11])/6 + t[12]/3 + 
       (4*t[13])/9 + (79*t[14])/72 + (131*t[15])/216 - t[20]/3 - 
       (2*t[28])/3 - (2*t[29])/3 - (5*t[32])/3 + (4*t[33])/3 - t[34]/3 - 
       (13*t[48])/12 - t[49]/12 - t[50]/6 + t[51]/24 + t[52]/6 + t[53]/12 - 
       t[54]/6 - t[59]/6 + (3*t[60])/2 + (25*t[61])/12 - (5*t[62])/2 - 
       (11*t[63])/6 - t[64]/24 - t[65]/4 - (47*t[66])/12 - 2*t[75] + 
       (5*t[83])/3 + (11*t[84])/12 + (7*t[85])/12 + (4*t[86])/3 + t[87] + 
       t[88]/2 + (7*t[89])/4 - 2*t[100]) + HPL[{1}, 1 - w]^3*Omega2[u, v, w]*
      ((-5*t[3])/6 + t[4]/6 - (3*t[5])/4 - t[6]/3 + t[7]/4 - t[8]/2 - 
       (5*t[9])/12 - t[10]/12 + (5*t[11])/6 + t[12]/3 + (4*t[13])/9 + 
       (79*t[14])/72 + (89*t[15])/216 - t[20]/3 - (2*t[28])/3 - (2*t[29])/3 - 
       (5*t[32])/3 + (4*t[33])/3 - t[34]/3 - (13*t[48])/12 - t[49]/12 - 
       t[50]/6 + t[51]/24 + t[52]/6 + t[53]/12 - t[54]/6 - t[59]/6 + 
       (3*t[60])/2 + (19*t[61])/12 - (8*t[62])/3 - (11*t[63])/6 + 
       (11*t[64])/24 - t[65]/4 - (47*t[66])/12 - 2*t[75] + (5*t[83])/3 + 
       (11*t[84])/12 + (7*t[85])/12 + (4*t[86])/3 + t[87] + t[88]/2 + 
       (7*t[89])/4 - 2*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]^2*((-39*t[3])/16 - (209*t[5])/48 + (233*t[6])/96 + 
       (25*t[7])/6 + (67*t[8])/12 + (33*t[9])/8 + t[10]/24 - (79*t[11])/32 - 
       t[12]/48 - (11*t[13])/6 + (1309*t[14])/288 + (965*t[15])/864 - 
       (7*t[28])/6 - (3*t[29])/8 + t[30]/4 - t[31]/4 - t[35]/2 + 
       (3*t[40])/8 + (5*t[44])/24 - (145*t[48])/96 + (163*t[50])/96 - 
       (163*t[52])/96 + (233*t[54])/96 - (145*t[60])/48 + (107*t[61])/16 - 
       (11*t[62])/96 + (619*t[63])/96 - (515*t[64])/96 + (619*t[65])/144 + 
       (1261*t[66])/144 - t[72]/4 - t[73]/2 - (3*t[75])/2 - (3*t[76])/4 + 
       t[79]/2 + (17*t[83])/12 + (13*t[84])/16 + (13*t[85])/16 - t[86]/6 + 
       (61*t[87])/48 + (61*t[88])/96 + (79*t[89])/32 - 2*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*
      ((7*t[2])/8 + (5*t[3])/12 + (13*t[4])/24 + 3*t[5] + (19*t[6])/96 - 
       (31*t[7])/8 - (13*t[8])/8 - (209*t[9])/48 - (7*t[10])/48 + 
       (101*t[11])/96 - (11*t[12])/48 + (271*t[13])/144 - (25*t[14])/144 - 
       (583*t[15])/864 - t[20]/3 + t[23]/4 + t[24]/4 - (2*t[28])/3 - 
       (29*t[29])/12 - (3*t[30])/2 - t[31]/4 - (29*t[32])/12 + 
       (25*t[33])/12 - t[34]/3 - (3*t[35])/2 - (7*t[44])/8 - (119*t[48])/96 + 
       (5*t[49])/48 - (259*t[50])/96 - (5*t[51])/96 + (259*t[52])/96 - 
       (5*t[53])/48 - (37*t[54])/96 - t[59]/3 + (61*t[60])/16 - 
       (41*t[61])/48 - (69*t[62])/32 - (761*t[63])/96 + (365*t[64])/96 - 
       (45*t[65])/16 - (449*t[66])/48 - t[73]/2 + t[74]/2 - (3*t[75])/2 - 
       (3*t[76])/4 + t[79]/2 + t[81]/4 - t[82]/4 + (17*t[83])/12 + 
       (47*t[84])/48 + (49*t[85])/48 - t[86]/6 + (17*t[87])/16 + 
       (17*t[88])/32 + (95*t[89])/32 - 2*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      (-t[1]/8 + t[2]/8 - (65*t[3])/64 - t[4] + (31*t[5])/192 + 
       (497*t[6])/192 - (13*t[7])/8 + (259*t[8])/48 + (109*t[9])/192 + 
       t[10]/96 - (331*t[11])/192 + (155*t[12])/192 - (61*t[13])/192 + 
       (113*t[14])/96 + (913*t[15])/1728 + (11*t[28])/24 + (55*t[29])/96 - 
       (5*t[30])/96 + t[31]/4 + (17*t[32])/96 + t[33]/32 + (19*t[34])/24 + 
       t[35]/2 - t[38]/4 - (3*t[40])/8 - (89*t[44])/96 - (7*t[45])/8 + 
       (5*t[47])/8 + (287*t[48])/192 + t[49]/2 - (61*t[50])/64 - 
       (3*t[51])/8 + (109*t[52])/64 - t[53]/2 + (329*t[54])/192 + t[59]/12 - 
       (29*t[60])/96 - (193*t[61])/96 + (505*t[62])/192 + (349*t[63])/192 + 
       (95*t[64])/64 + (205*t[65])/144 + (163*t[66])/48 + t[72]/4 + t[73]/8 - 
       t[74]/6 + (7*t[75])/8 + (7*t[76])/8 - t[78]/2 - t[79]/8 + 
       (3*t[80])/4 + (5*t[81])/24 + t[82]/24 - (11*t[83])/24 - (7*t[84])/12 + 
       (13*t[85])/24 - (7*t[86])/24 - (9*t[87])/8 - (2*t[88])/3 + 
       (5*t[89])/192 + t[95]/3 + t[97]/8 + 6*t[98] - 6*t[99] - 2*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]^2*((-8*t[2])/3 + (1573*t[3])/192 - 
       (5*t[4])/6 + (409*t[5])/96 - (1219*t[6])/384 - (71*t[7])/96 - 
       (425*t[8])/48 - (635*t[9])/192 + (55*t[10])/24 + (1331*t[11])/384 + 
       (69*t[12])/32 + (497*t[13])/1728 + (1751*t[14])/1152 - 
       (431*t[15])/1728 + t[24]/3 - t[27]/3 - t[28]/4 - (37*t[29])/48 - 
       (5*t[30])/6 + t[31]/2 - (65*t[32])/24 + (19*t[33])/12 + (5*t[34])/4 + 
       t[35]/2 - t[36] - t[37]/3 - (5*t[38])/12 + (2*t[39])/3 - 
       (59*t[40])/48 + t[41]/12 - t[42]/12 + t[43]/12 - (83*t[44])/96 - 
       (19*t[45])/6 - (3*t[46])/8 + (5*t[47])/2 - (491*t[48])/128 + 
       (23*t[49])/8 - (159*t[50])/128 - (125*t[51])/96 + (1181*t[52])/384 - 
       (53*t[53])/24 - (569*t[54])/128 + (5*t[59])/12 - (1373*t[60])/192 - 
       (505*t[61])/192 - (563*t[62])/384 + (5275*t[63])/384 + 
       (163*t[64])/384 - (6505*t[65])/576 - (3395*t[66])/576 - t[70]/3 + 
       t[71]/3 + t[72]/6 - (3*t[73])/2 + (3*t[75])/2 + (8*t[76])/3 - 
       t[77]/6 - (79*t[78])/12 + (25*t[80])/6 - (3*t[81])/4 + (17*t[82])/12 + 
       (11*t[83])/12 - (1105*t[84])/192 - (25*t[85])/192 - 3*t[86] - 
       (2039*t[87])/192 - (893*t[88])/128 - (3379*t[89])/384 + t[95] + 
       (4*t[96])/3 + (3*t[97])/4 + 19*t[98] - 19*t[99] - (7*t[100])/4) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - v]*((341*t[2])/288 - (13*t[3])/9 + 
       (85*t[4])/288 - (43*t[5])/48 - (55*t[6])/144 + (41*t[7])/24 - 
       (221*t[8])/96 + (515*t[9])/288 + (281*t[10])/576 + (275*t[11])/288 + 
       (109*t[12])/576 + (217*t[13])/432 + (4921*t[14])/3456 + 
       (635*t[15])/2592 - (5*t[20])/18 - (5*t[23])/12 - (5*t[24])/12 - 
       (5*t[28])/9 - (55*t[29])/72 - (5*t[30])/48 + (5*t[31])/12 - 
       (185*t[32])/144 + (145*t[33])/144 - (5*t[34])/18 + t[35]/4 + 
       (5*t[44])/8 - (341*t[48])/288 + (5*t[49])/576 + (19*t[50])/36 - 
       (5*t[51])/1152 - (19*t[52])/36 - (5*t[53])/576 - (115*t[54])/288 - 
       (77*t[59])/144 + (103*t[60])/96 + (343*t[61])/144 - (341*t[62])/192 + 
       (263*t[63])/576 - (619*t[64])/288 - (191*t[65])/288 - 
       (1081*t[66])/288 - (5*t[73])/24 + (7*t[74])/24 - (5*t[75])/8 + 
       (7*t[79])/24 + (5*t[81])/48 - (5*t[82])/48 + (115*t[83])/72 + 
       (211*t[84])/288 + (37*t[85])/36 + (17*t[86])/72 + (31*t[87])/96 + 
       (31*t[88])/192 + (45*t[89])/64 - (5*t[100])/3) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - v]*((-99*t[3])/32 - 
       (3185*t[5])/576 + (521*t[6])/288 + (1067*t[7])/144 + (467*t[8])/288 + 
       (1273*t[9])/192 + (55*t[10])/288 - 2*t[11] - (55*t[12])/576 - 
       (77*t[13])/32 + (9767*t[14])/1728 + (16379*t[15])/10368 - 
       (85*t[28])/72 - (77*t[29])/96 + (5*t[30])/8 - (5*t[31])/12 - 
       (5*t[35])/6 + (5*t[40])/8 + (383*t[44])/288 - (95*t[48])/36 + 
       (979*t[50])/288 - (979*t[52])/288 + (521*t[54])/288 - (251*t[60])/72 + 
       (103*t[61])/12 - (793*t[62])/576 + (6065*t[63])/576 - (367*t[64])/36 + 
       (3479*t[65])/864 + (9113*t[66])/864 - (5*t[72])/12 - (5*t[73])/8 - 
       (25*t[75])/24 - (5*t[76])/4 + (5*t[79])/8 + (85*t[83])/72 + 
       (77*t[84])/96 + (77*t[85])/96 - (55*t[86])/72 + (31*t[87])/36 + 
       (31*t[88])/72 + 2*t[89] - (5*t[100])/3) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*((7*t[2])/8 + (35*t[3])/12 - 
       (659*t[4])/96 - (43*t[5])/48 - (115*t[6])/12 + (1609*t[7])/96 - 
       (805*t[8])/48 + (151*t[9])/24 - (231*t[10])/64 + (163*t[11])/32 + 
       (371*t[12])/192 - (1195*t[13])/288 + (137*t[14])/1152 - 
       (163*t[15])/192 - t[20]/12 - t[23]/4 - t[24]/4 - (3*t[28])/2 - 
       2*t[29] + (5*t[30])/48 + t[31]/4 + (35*t[32])/48 - (59*t[33])/48 + 
       (7*t[34])/12 + 2*t[35] + (3*t[36])/2 + (3*t[43])/4 + (15*t[44])/4 - 
       (737*t[48])/96 - (235*t[49])/192 + (101*t[50])/16 + (235*t[51])/384 - 
       (101*t[52])/16 + (235*t[53])/192 - (613*t[54])/96 - t[59]/4 - 
       (127*t[60])/96 + (43*t[61])/24 - (1277*t[62])/64 + (1583*t[63])/192 + 
       (139*t[64])/16 - (175*t[65])/32 - (1177*t[66])/288 + (3*t[73])/8 - 
       (7*t[74])/6 - (27*t[75])/8 - (3*t[77])/2 - (3*t[78])/2 - t[79]/2 + 
       3*t[80] - (77*t[81])/48 + (77*t[82])/48 + (45*t[83])/8 - 
       (103*t[84])/96 - (5*t[85])/16 + (41*t[86])/2 + (413*t[87])/96 + 
       (159*t[88])/64 - (1615*t[89])/192 - (2*t[95])/3 - (3*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((-3*t[2])/2 - (545*t[3])/96 + (145*t[4])/24 - (853*t[5])/192 + 
       (877*t[6])/96 - (22*t[7])/3 + (1267*t[8])/96 + (11*t[9])/192 + 
       (139*t[10])/32 - (41*t[11])/8 - (343*t[12])/192 + (419*t[13])/288 + 
       (3541*t[14])/576 + (2929*t[15])/1152 + t[20]/6 - (3*t[28])/8 + 
       (35*t[29])/32 + t[30]/24 - t[31]/4 - (13*t[32])/12 + (5*t[33])/6 - 
       t[34]/6 - 2*t[35] - (3*t[36])/2 + (3*t[40])/8 - (3*t[43])/4 - 
       (65*t[44])/32 + (191*t[48])/48 + (41*t[49])/48 - (75*t[50])/32 - 
       (41*t[51])/96 + (75*t[52])/32 - (41*t[53])/48 + (641*t[54])/96 + 
       (2*t[59])/3 + (23*t[60])/24 + (205*t[61])/24 + (2809*t[62])/192 + 
       (527*t[63])/192 - (331*t[64])/16 + (841*t[65])/288 + 
       (2855*t[66])/288 - t[72]/4 - (7*t[73])/8 + (11*t[74])/6 + 
       (3*t[75])/8 - (3*t[76])/4 + (3*t[77])/2 + (3*t[78])/2 + (11*t[79])/8 - 
       3*t[80] + (13*t[81])/12 - (13*t[82])/12 - (21*t[83])/8 + 
       (221*t[84])/96 + (35*t[85])/32 - (169*t[86])/8 - (71*t[87])/12 - 
       (21*t[88])/8 + (365*t[89])/48 - (2*t[95])/3 - (3*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-3*t[1])/4 - t[2]/2 + (31*t[3])/2 + (73*t[4])/4 + (79*t[5])/8 - 
       (387*t[6])/16 + 8*t[7] - (133*t[8])/4 - (91*t[9])/4 - (17*t[10])/8 + 
       (203*t[11])/16 - (63*t[12])/4 - (43*t[13])/8 - (151*t[14])/8 + 
       (59*t[15])/72 - 4*t[19] + 4*t[20] + 4*t[21] - 2*t[22] - 2*t[23] + 
       t[25] - t[26] + 2*t[27] + 8*t[29] + 8*t[30] - 2*t[31] - (9*t[32])/2 - 
       2*t[33] - (5*t[34])/2 + 5*t[37] + (3*t[38])/2 - 7*t[39] + 13*t[40] - 
       t[41]/4 - (3*t[42])/4 - t[43]/2 + (3*t[45])/2 - t[46] - (5*t[47])/2 + 
       (67*t[48])/16 + (45*t[49])/8 + (151*t[50])/16 - (21*t[51])/16 - 
       (319*t[52])/16 - (45*t[53])/8 - (287*t[54])/16 - (5*t[59])/4 - 
       (333*t[60])/8 + (77*t[61])/8 + (189*t[62])/16 + (603*t[63])/16 + 
       (169*t[64])/16 + (91*t[65])/8 + (267*t[66])/8 - 2*t[70] + 2*t[71] - 
       2*t[72] - t[74] - (13*t[76])/2 - 2*t[77] + (25*t[78])/2 - 8*t[80] - 
       (9*t[81])/2 - (51*t[84])/8 - (33*t[85])/8 + 6*t[86] + (197*t[87])/8 + 
       (45*t[88])/16 + (29*t[89])/16 + 2*t[95] + 2*t[96] - (5*t[97])/2 - 
       48*t[98] + 70*t[99] - (3*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((-61*t[1])/6 + t[2]/6 - 
       (469*t[3])/48 - (841*t[4])/24 - (1159*t[5])/96 + (2209*t[6])/96 - 
       (41*t[7])/16 - (199*t[8])/16 + (2053*t[9])/96 + (3877*t[10])/48 - 
       (679*t[11])/32 + (2015*t[12])/96 - (25727*t[13])/864 + 
       (18883*t[14])/288 + (12485*t[15])/576 + (2*t[16])/3 - (5*t[19])/3 - 
       t[20] - t[21] + t[22] + t[23] + (17*t[25])/3 + (73*t[26])/6 - 
       (5*t[27])/3 + 20*t[28] + (3*t[29])/2 + (19*t[30])/6 + 16*t[31] - 
       (17*t[32])/6 - (11*t[33])/3 + t[34]/3 - 10*t[35] - (5*t[36])/3 + 
       (8*t[37])/3 - 10*t[38] + 24*t[39] - (45*t[40])/4 - t[41]/6 + t[42]/6 - 
       (17*t[43])/8 + (11*t[44])/2 + (139*t[45])/8 + 9*t[46] - 
       (385*t[47])/12 + (411*t[48])/32 - (299*t[49])/24 + (1213*t[50])/96 - 
       (375*t[51])/32 - (989*t[52])/96 + (631*t[53])/24 + (1859*t[54])/96 + 
       t[58]/6 + (59*t[59])/12 - (155*t[60])/24 + (79*t[61])/2 + 
       (1377*t[62])/32 + (3635*t[63])/32 - (2557*t[64])/24 + 
       (4321*t[65])/48 + (3559*t[66])/72 - (7*t[68])/3 - 2*t[70] + 2*t[71] - 
       2*t[72] + 14*t[73] + 6*t[74] + 25*t[75] - (71*t[76])/6 + 
       (13*t[77])/3 + (77*t[78])/6 - (29*t[79])/2 - (229*t[80])/12 - 
       (7*t[81])/3 - (29*t[82])/6 - 41*t[83] + (1439*t[84])/48 - 
       (701*t[85])/48 - (481*t[86])/8 - (337*t[87])/16 - (657*t[88])/32 + 
       (7*t[89])/4 - t[91]/12 + t[93] + 8*t[95] - (11*t[97])/6 - 48*t[98] + 
       70*t[99] - (3*t[100])/2) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*
      (-t[1]/2 + (139*t[2])/12 - (3179*t[3])/48 - (37*t[4])/3 - 
       (629*t[5])/24 + (5087*t[6])/96 - (103*t[7])/48 + (4513*t[8])/48 + 
       (70*t[9])/3 + (71*t[10])/3 - (6565*t[11])/96 - (199*t[12])/16 - 
       (33587*t[13])/864 + (7685*t[14])/288 + (17399*t[15])/864 - t[17]/2 - 
       (7*t[18])/2 + t[19]/2 - t[20]/2 - (5*t[21])/2 + (5*t[23])/2 - 
       (14*t[24])/3 + (3*t[25])/2 - (3*t[26])/4 + (8*t[27])/3 + 2*t[28] - 
       t[29]/12 - (35*t[30])/6 - t[31] + (59*t[32])/3 - (14*t[33])/3 - 
       (25*t[34])/2 - 4*t[35] + (7*t[36])/2 + t[37]/6 - t[38]/6 - 
       (29*t[39])/6 + (13*t[40])/3 - (11*t[41])/12 - t[42]/12 + 
       (127*t[43])/48 + (7*t[44])/24 + (461*t[45])/24 - t[46]/2 - 
       (45*t[47])/2 + (1129*t[48])/32 - (279*t[49])/16 + (29*t[50])/32 + 
       (169*t[51])/24 - (391*t[52])/96 + (449*t[53])/48 + (1795*t[54])/32 - 
       t[58]/4 + (77*t[59])/12 + (2503*t[60])/48 + (3113*t[61])/48 - 
       (47*t[62])/96 - (2081*t[63])/96 - (7391*t[64])/96 + (7109*t[65])/144 + 
       (15529*t[66])/144 + (3*t[69])/2 + (55*t[70])/6 - (55*t[71])/6 - 
       (7*t[72])/3 + 4*t[73] + (11*t[74])/2 - 4*t[75] - (307*t[76])/12 + 
       (10*t[77])/3 + (217*t[78])/6 - (137*t[80])/6 - (13*t[81])/2 - 
       (25*t[82])/12 - (16*t[83])/3 + (1793*t[84])/48 - (181*t[85])/48 - 
       20*t[86] + (2125*t[87])/48 + (1607*t[88])/32 + (3605*t[89])/96 - 
       t[92]/2 + t[94]/2 - 11*t[95] - (41*t[96])/3 - (3*t[97])/2 - 
       200*t[98] + 228*t[99] - (3*t[100])/2) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*((-19*t[1])/4 + (25*t[2])/3 - (511*t[3])/12 - 
       (59*t[4])/8 - (129*t[5])/8 + (1905*t[6])/32 - (3613*t[7])/48 + 
       (6727*t[8])/48 - (165*t[9])/8 + (851*t[10])/48 - (4825*t[11])/96 - 
       (25*t[12])/6 - (24487*t[13])/864 + (451*t[14])/72 - (26*t[15])/27 - 
       t[17]/2 - t[18] + (3*t[19])/2 + (25*t[20])/6 + t[21]/2 - t[22] - 
       t[23]/2 + (5*t[24])/3 + 5*t[25] - t[26]/4 + (2*t[27])/3 - t[29]/3 - 
       (5*t[30])/2 + t[31]/2 + (58*t[32])/3 - t[33]/6 - (13*t[34])/3 - 
       5*t[36] - (4*t[37])/3 - (25*t[38])/6 - (13*t[39])/3 - (23*t[40])/12 - 
       (13*t[41])/6 + (5*t[42])/3 + (13*t[43])/48 - (15*t[44])/2 + 
       (137*t[45])/8 + (3*t[46])/4 - (95*t[47])/4 + (797*t[48])/32 - 
       (26*t[49])/3 - (1781*t[50])/96 + (51*t[51])/32 + (2069*t[52])/96 - 
       (11*t[53])/3 + (3853*t[54])/96 + t[55]/2 + t[58]/4 - t[59]/12 + 
       (4585*t[60])/48 + (413*t[61])/48 + (1559*t[62])/96 - (6383*t[63])/96 - 
       (197*t[64])/32 - (673*t[65])/48 + (3859*t[66])/144 + t[67]/2 + 
       2*t[68] + (26*t[70])/3 - (26*t[71])/3 - t[72]/2 + 4*t[73] + 8*t[74] - 
       4*t[75] - (74*t[76])/3 + (7*t[77])/6 + (193*t[78])/6 + 8*t[79] - 
       13*t[80] - (17*t[81])/6 - (35*t[82])/12 - (35*t[83])/6 + 
       (447*t[84])/16 + (313*t[85])/48 - (31*t[86])/2 + (1135*t[87])/48 + 
       (1397*t[88])/32 + (585*t[89])/32 + t[92]/2 - t[94]/2 - 12*t[95] - 
       (97*t[96])/6 - t[97] - 200*t[98] + 228*t[99] - (3*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4*
      (-t[1]/8 - (9*t[2])/32 - (949*t[3])/384 - (23*t[4])/12 - (49*t[5])/12 - 
       (2663*t[6])/384 + (847*t[7])/64 - (1729*t[8])/192 + (71*t[9])/6 - 
       (89*t[10])/96 + (801*t[11])/128 + (45*t[12])/64 - (913*t[13])/384 + 
       (7097*t[14])/1152 + (13243*t[15])/6912 + t[20]/12 + (11*t[28])/24 + 
       (63*t[29])/16 + (119*t[30])/96 + t[31]/4 + (347*t[32])/96 - 
       (347*t[33])/96 - (13*t[34])/48 + (3*t[35])/4 + t[36]/4 - t[38]/4 - 
       (3*t[40])/8 + t[43]/8 - (7*t[44])/24 - (7*t[45])/8 + (5*t[47])/8 - 
       (347*t[48])/384 + (25*t[49])/48 + (3265*t[50])/384 - (37*t[51])/96 - 
       (2977*t[52])/384 - (25*t[53])/48 - (885*t[54])/128 + (37*t[59])/96 - 
       (1085*t[60])/192 + (1057*t[61])/192 - (1513*t[62])/384 + 
       (2987*t[63])/128 - (3485*t[64])/384 + (115*t[65])/288 + 
       (99*t[66])/32 + t[72]/4 + t[73]/8 - (7*t[74])/12 + t[75]/8 + 
       (19*t[76])/8 - t[77]/4 - (3*t[78])/4 - (3*t[79])/8 + (5*t[80])/4 + 
       t[81]/6 + t[82]/12 + (49*t[83])/24 - (263*t[84])/96 - (47*t[85])/32 + 
       (83*t[86])/24 - (87*t[87])/16 - (145*t[88])/48 - (3679*t[89])/384 + 
       (2*t[95])/3 + t[97]/8 + 6*t[98] - 6*t[99] - (5*t[100])/4) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((29*t[2])/24 + (275*t[3])/72 - (301*t[4])/288 + (27*t[5])/8 - 
       (13*t[6])/72 + (421*t[7])/96 - (11*t[8])/16 + (329*t[9])/144 - 
       (1619*t[10])/576 + (211*t[11])/288 + (41*t[12])/576 - 
       (629*t[13])/864 - (9313*t[14])/3456 + (22889*t[15])/5184 + 
       (5*t[20])/18 + t[22]/2 - (5*t[23])/12 - (5*t[24])/12 + (19*t[28])/18 + 
       (361*t[29])/72 + (185*t[30])/48 + (2*t[31])/3 + (491*t[32])/144 - 
       (469*t[33])/144 + (19*t[34])/36 - t[35]/6 + t[36]/2 - t[37]/2 - 
       (3*t[40])/8 - t[41]/4 + t[42]/4 + (7*t[44])/3 - t[46]/4 - t[47]/2 + 
       (605*t[48])/288 - (509*t[49])/576 + (593*t[50])/144 + 
       (293*t[51])/1152 - (593*t[52])/144 + (509*t[53])/576 - 
       (299*t[54])/288 + (71*t[59])/72 - (157*t[60])/32 + (121*t[61])/72 + 
       (935*t[62])/64 + (9577*t[63])/576 - (1787*t[64])/72 + (179*t[65])/96 + 
       (4927*t[66])/288 - t[69]/4 - t[72]/4 + (41*t[73])/24 + (23*t[75])/24 + 
       (9*t[76])/4 + t[79] + t[80]/2 - (77*t[81])/48 + (149*t[82])/48 - 
       (109*t[83])/18 - (769*t[84])/288 - (631*t[85])/144 - (191*t[86])/18 - 
       (347*t[87])/96 - (347*t[88])/192 - (1783*t[89])/192 + 4*t[99] - 
       (13*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w]*(-5*t[1] + (361*t[2])/24 + (397*t[3])/32 + 
       (243*t[4])/16 + (13475*t[5])/576 - (2849*t[6])/288 + (4723*t[7])/144 - 
       (20537*t[8])/288 - (4547*t[9])/192 - (4163*t[10])/144 + 
       (397*t[11])/8 + (2275*t[12])/576 + (5239*t[13])/144 - 
       (2731*t[14])/216 + (35083*t[15])/10368 + t[16]/2 - t[18] + 2*t[19] + 
       (9*t[20])/2 + t[21] - (3*t[22])/2 - t[23] + 2*t[24] + 5*t[25] + 
       (2*t[26])/3 - (11*t[28])/72 + (637*t[29])/96 + (63*t[30])/8 - 
       (23*t[31])/12 - (55*t[32])/24 - (47*t[35])/6 + (4*t[36])/3 - t[37] - 
       6*t[38] + (9*t[39])/4 - (85*t[40])/8 + (11*t[41])/12 - (17*t[42])/12 - 
       (37*t[43])/12 + (6031*t[44])/288 - (38*t[45])/3 - (21*t[46])/4 + 
       (21*t[47])/2 - (40*t[48])/9 + (223*t[49])/96 + (4427*t[50])/288 - 
       (839*t[51])/192 - (2603*t[52])/288 - (1039*t[53])/96 - 
       (15965*t[54])/288 + t[58]/3 + (17*t[59])/4 + (4093*t[60])/144 + 
       (565*t[61])/16 - (923*t[62])/576 - (21029*t[63])/576 - 
       (3715*t[64])/288 - (49859*t[65])/864 - (51077*t[66])/864 + 
       (3*t[69])/2 - (11*t[72])/12 + (139*t[73])/24 - (7*t[74])/3 + 
       t[75]/24 - (65*t[76])/6 + (53*t[78])/6 - (79*t[79])/24 - 
       (15*t[80])/2 + (13*t[81])/4 + (97*t[82])/12 + (1577*t[83])/72 - 
       (749*t[84])/96 - (1469*t[85])/96 + (559*t[86])/72 - (3505*t[87])/144 - 
       (5401*t[88])/288 - (4147*t[89])/96 - (16*t[95])/3 + (5*t[97])/3 + 
       4*t[99] - (13*t[100])/12) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((-47*t[3])/8 - (313*t[5])/48 - 
       (137*t[6])/24 + (307*t[7])/12 - (473*t[8])/24 + (89*t[9])/16 + 
       (23*t[10])/24 + (19*t[11])/4 - (23*t[12])/48 - (25*t[13])/8 + 
       (415*t[14])/144 + (4663*t[15])/864 - (59*t[28])/6 - (23*t[29])/8 + 
       t[30]/2 + (445*t[44])/24 - (187*t[48])/12 + (305*t[50])/24 - 
       (305*t[52])/24 - (137*t[54])/24 - (139*t[60])/6 + (129*t[61])/4 - 
       (683*t[62])/48 + (1915*t[63])/48 - (121*t[64])/24 + (703*t[65])/72 + 
       (301*t[66])/72 + (25*t[73])/2 - (75*t[75])/2 + (3*t[79])/2 + 
       (101*t[83])/6 + (9*t[84])/8 + (9*t[85])/8 - (23*t[86])/6 + 
       (139*t[87])/6 + (139*t[88])/12 - (19*t[89])/4 - t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      ((17*t[2])/64 - t[3]/192 + (35*t[4])/192 + (485*t[5])/384 - 
       (53*t[6])/64 - (89*t[7])/96 - (59*t[8])/48 - (457*t[9])/384 - 
       (79*t[10])/384 + (217*t[11])/192 - (5*t[12])/64 + (493*t[13])/576 + 
       t[14]/2304 - (1903*t[15])/6912 - t[20]/12 + t[23]/8 + t[24]/8 - 
       (19*t[28])/48 - (77*t[29])/192 - (17*t[30])/32 - (31*t[32])/96 + 
       (23*t[33])/96 - t[34]/12 - t[35]/8 - (3*t[40])/16 - (59*t[44])/192 - 
       (13*t[48])/64 + (19*t[49])/384 - (29*t[50])/64 - (19*t[51])/768 + 
       (29*t[52])/64 - (19*t[53])/384 - (89*t[54])/96 - (11*t[59])/96 + 
       (239*t[60])/192 - (37*t[61])/96 - (7*t[62])/12 - (8*t[63])/3 + 
       (117*t[64])/64 - (289*t[65])/288 - (1399*t[66])/288 + t[72]/8 - 
       t[73]/4 + t[74]/16 - t[75]/2 + (3*t[76])/8 + t[79]/8 + (3*t[81])/32 - 
       (3*t[82])/32 + (13*t[83])/12 + (19*t[84])/96 + (25*t[85])/192 + 
       (7*t[86])/24 + (67*t[87])/192 + (67*t[88])/384 - (23*t[89])/128 - 
       t[100]) + HPL[{1}, 1 - u]^2*Nt[u, v, w]*((-5*t[3])/8 - (13*t[5])/12 + 
       (5*t[6])/12 + (41*t[7])/24 + (11*t[8])/12 + (11*t[9])/8 - t[10]/6 - 
       t[11]/4 + t[12]/12 - (3*t[13])/8 + (13*t[14])/9 + (95*t[15])/432 - 
       t[28]/3 - t[29]/4 + t[44]/24 - (23*t[48])/24 + (7*t[50])/12 - 
       (7*t[52])/12 + (5*t[54])/12 - (5*t[60])/12 + (5*t[61])/2 - 
       (47*t[62])/48 + (55*t[63])/48 - (11*t[64])/12 + (55*t[65])/72 + 
       (61*t[66])/72 - t[75] + (5*t[83])/6 + (3*t[84])/8 + (3*t[85])/8 + 
       (2*t[86])/3 + (5*t[87])/12 + (5*t[88])/24 + t[89]/4 - t[100]) + 
     HPL[{1}, 1 - w]^2*Nt[u, v, w]*(-t[2]/12 - (2*t[3])/3 + t[4]/12 - 
       (3*t[5])/8 - t[6]/6 + t[7]/8 - t[8]/4 - (5*t[9])/24 - t[10]/24 + 
       (5*t[11])/12 + t[12]/6 + (2*t[13])/9 + (79*t[14])/144 + 
       (131*t[15])/432 - t[20]/6 - t[28]/3 - t[29]/3 - (5*t[32])/6 + 
       (2*t[33])/3 - t[34]/6 - (13*t[48])/24 - t[49]/24 - t[50]/12 + 
       t[51]/48 + t[52]/12 + t[53]/24 - t[54]/12 - t[59]/12 + (3*t[60])/4 + 
       (25*t[61])/24 - (5*t[62])/4 - (11*t[63])/12 - t[64]/48 - t[65]/8 - 
       (47*t[66])/24 - t[75] + (5*t[83])/6 + (11*t[84])/24 + (7*t[85])/24 + 
       (2*t[86])/3 + t[87]/2 + t[88]/4 + (7*t[89])/8 - t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((21*t[2])/8 - (5*t[3])/3 + (29*t[4])/24 + (83*t[5])/8 - (85*t[6])/24 - 
       (39*t[7])/4 - (145*t[8])/8 - (35*t[9])/6 + (205*t[10])/48 + 
       (19*t[11])/6 - (169*t[12])/48 + (805*t[13])/72 + (1757*t[14])/288 + 
       (455*t[15])/432 + (4*t[20])/3 + (8*t[28])/3 - (53*t[29])/6 + 
       (7*t[30])/4 - (169*t[32])/12 + (137*t[33])/12 + (4*t[34])/3 - 
       17*t[35] + t[44]/2 - (41*t[48])/12 + (25*t[49])/48 - (59*t[50])/24 - 
       (25*t[51])/96 + (59*t[52])/24 - (25*t[53])/48 - (17*t[54])/6 - 
       (47*t[59])/12 - (63*t[60])/8 - (4*t[61])/3 - (131*t[62])/16 - 
       (1055*t[63])/48 + (565*t[64])/24 + (143*t[65])/24 - (1291*t[66])/24 - 
       t[67] - 4*t[69] + 2*t[70] - 2*t[71] + (25*t[73])/2 + (13*t[74])/2 - 
       (75*t[75])/2 + (13*t[79])/2 + (3*t[81])/4 - (3*t[82])/4 + 
       (61*t[83])/3 + (29*t[84])/24 + (13*t[85])/6 - (29*t[86])/6 + 
       (165*t[87])/8 + (165*t[88])/16 + (141*t[89])/16 - t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      ((-4*t[2])/3 + (865*t[3])/384 - (5*t[4])/12 - (41*t[5])/32 - 
       (347*t[6])/768 + (797*t[7])/192 - (73*t[8])/24 + (799*t[9])/384 + 
       (103*t[10])/96 + (515*t[11])/768 + (107*t[12])/96 - 
       (4507*t[13])/3456 + (3097*t[14])/768 + (1483*t[15])/1728 + t[24]/6 - 
       t[27]/6 - (7*t[28])/12 - (47*t[29])/48 + (5*t[30])/24 - 
       (65*t[32])/48 + (19*t[33])/24 + (5*t[34])/8 - t[35]/4 - t[36]/2 - 
       t[37]/6 - (5*t[38])/24 + t[39]/3 - (23*t[40])/96 + t[41]/24 - 
       t[42]/24 + t[43]/24 + (21*t[44])/64 - (19*t[45])/12 - (3*t[46])/16 + 
       (5*t[47])/4 - (2737*t[48])/768 + (23*t[49])/16 + (1051*t[50])/768 - 
       (125*t[51])/192 - (347*t[52])/768 - (53*t[53])/48 - (835*t[54])/768 + 
       (5*t[59])/24 - (799*t[60])/128 + (1751*t[61])/384 - (1759*t[62])/768 + 
       (9959*t[63])/768 - (3565*t[64])/768 - (1063*t[65])/384 + 
       (3593*t[66])/1152 - t[70]/6 + t[71]/6 - t[72]/6 - (7*t[73])/8 - 
       t[75]/8 + (7*t[76])/12 - t[77]/12 - (79*t[78])/24 + t[79]/8 + 
       (25*t[80])/12 - (3*t[81])/8 + (17*t[82])/24 + (11*t[83])/12 - 
       (925*t[84])/384 + (155*t[85])/384 - (29*t[86])/24 - (1639*t[87])/384 - 
       (2279*t[88])/768 - (2563*t[89])/768 + t[95]/2 + (2*t[96])/3 + 
       (3*t[97])/8 + (19*t[98])/2 - 10*t[99] - (3*t[100])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]^2*((51*t[3])/16 + (683*t[5])/96 - 
       (139*t[6])/24 - (83*t[7])/24 - (725*t[8])/48 - (231*t[9])/32 - 
       (13*t[10])/48 + (97*t[11])/16 + (13*t[12])/96 + (137*t[13])/48 - 
       (2123*t[14])/288 - (1973*t[15])/1728 + t[28]/12 - (9*t[29])/16 + 
       t[30]/4 + t[31]/2 + t[35] - (3*t[40])/4 + (133*t[44])/48 - 
       (17*t[48])/48 - (23*t[50])/24 + (23*t[52])/24 - (139*t[54])/24 + 
       (19*t[60])/24 - (11*t[61])/2 - (257*t[62])/96 - (599*t[63])/96 + 
       (61*t[64])/6 - (787*t[65])/144 - (2225*t[66])/144 + t[72]/2 + 
       t[73]/4 + (9*t[75])/4 + (3*t[76])/2 - t[79]/4 - (4*t[83])/3 - 
       (29*t[84])/16 - (29*t[85])/16 + (13*t[86])/12 + (65*t[87])/24 + 
       (65*t[88])/48 - (97*t[89])/16 - t[100]/2) + 
     HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - v]*((13*t[3])/16 + (11*t[5])/6 - 
       (211*t[6])/96 + (17*t[7])/12 - (169*t[8])/24 + (13*t[9])/16 - 
       t[10]/12 + (73*t[11])/32 + t[12]/24 + (11*t[13])/12 - 
       (125*t[14])/288 - (317*t[15])/432 - t[28]/6 - t[29]/4 - (3*t[30])/4 + 
       t[31]/4 + t[35]/2 - (3*t[40])/8 + (11*t[44])/24 - (145*t[48])/96 + 
       (55*t[50])/96 - (55*t[52])/96 - (211*t[54])/96 + (179*t[60])/48 - 
       (23*t[61])/16 - (179*t[62])/96 - (221*t[63])/96 - (113*t[64])/96 - 
       (607*t[65])/144 - (1037*t[66])/144 + t[72]/4 - t[75]/2 + (3*t[76])/4 + 
       (11*t[83])/12 + (3*t[84])/16 + (3*t[85])/16 + t[86]/3 - 
       (83*t[87])/48 - (83*t[88])/96 - (73*t[89])/32 - t[100]/2) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2*((47*t[2])/48 + (95*t[3])/48 + 
       (11*t[4])/48 + (29*t[5])/8 + (71*t[6])/48 - (21*t[7])/4 + 
       (45*t[8])/16 - (317*t[9])/48 - (41*t[10])/96 - (41*t[11])/48 - 
       (73*t[12])/96 + (245*t[13])/288 - (1837*t[14])/576 - (319*t[15])/864 + 
       (2*t[20])/3 + t[23]/2 + t[24]/2 + (4*t[28])/3 - (5*t[29])/12 + 
       (11*t[30])/8 - t[31]/2 + (11*t[32])/24 + (5*t[33])/24 + (2*t[34])/3 - 
       2*t[35] + t[44]/4 + (95*t[48])/48 + (7*t[49])/96 - (37*t[50])/24 - 
       (7*t[51])/192 + (37*t[52])/24 - (7*t[53])/96 + (49*t[54])/48 - 
       t[59]/8 - (53*t[60])/16 - (2*t[61])/3 + (353*t[62])/96 - 
       (17*t[63])/96 + (385*t[64])/48 + (73*t[65])/48 + (115*t[66])/48 - 
       t[69]/2 + t[70]/4 - t[71]/4 - t[73]/4 + t[74]/4 + (7*t[75])/4 + 
       t[79]/4 + t[81]/8 - t[82]/8 - (59*t[83])/24 - (73*t[84])/48 - 
       (23*t[85])/12 - (35*t[86])/12 + (39*t[87])/16 + (39*t[88])/32 - 
       (13*t[89])/32 - t[100]/2) + HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - v]*
      ((23*t[2])/32 - (5*t[3])/6 + (11*t[4])/48 + (11*t[5])/16 - 
       (67*t[6])/48 + (41*t[7])/32 - (155*t[8])/32 + (125*t[9])/96 - 
       t[10]/12 + (41*t[11])/24 - (5*t[12])/12 + (155*t[13])/288 + 
       (1043*t[14])/576 + (73*t[15])/1728 - t[20]/12 + t[23]/4 + t[24]/4 - 
       t[28]/6 - (5*t[29])/12 - t[30]/8 - t[31]/4 - (7*t[32])/24 + 
       (5*t[33])/24 - t[34]/12 - (5*t[35])/4 - (3*t[44])/4 - (29*t[48])/24 + 
       (7*t[49])/96 + (37*t[50])/48 - (7*t[51])/192 - (37*t[52])/48 - 
       (7*t[53])/96 - (37*t[54])/24 - (13*t[59])/48 + (51*t[60])/16 + 
       (7*t[61])/12 - (145*t[62])/96 - (119*t[63])/96 - (185*t[64])/48 - 
       (55*t[65])/16 - (221*t[66])/48 - t[73]/4 + (3*t[74])/8 - (3*t[75])/4 + 
       (3*t[79])/8 + t[81]/8 - t[82]/8 + (2*t[83])/3 + (17*t[84])/48 + 
       (5*t[85])/24 - (19*t[86])/24 - (25*t[87])/16 - (25*t[88])/32 - 
       (5*t[89])/32 - t[100]/2) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^4*
      ((-29*t[2])/192 - t[3]/12 - t[4]/192 - (13*t[5])/32 + (19*t[6])/96 + 
       t[7]/8 + (13*t[8])/64 + (13*t[9])/192 + (67*t[10])/384 - 
       (23*t[11])/192 + (47*t[12])/384 - (7*t[13])/288 + (107*t[14])/2304 + 
       (151*t[15])/1728 - t[20]/12 - t[23]/8 - t[24]/8 - t[28]/6 - 
       (5*t[29])/48 + t[30]/32 + t[31]/8 - (43*t[32])/96 + (35*t[33])/96 - 
       t[34]/12 + t[35]/8 + (5*t[44])/16 - (31*t[48])/192 - (17*t[49])/384 - 
       t[50]/24 + (17*t[51])/768 + t[52]/24 + (17*t[53])/384 + 
       (55*t[54])/192 + (5*t[59])/96 - (11*t[60])/64 + (65*t[61])/96 - 
       (47*t[62])/128 + (37*t[63])/384 + (7*t[64])/192 + (67*t[65])/192 - 
       (11*t[66])/192 + t[73]/16 + t[74]/16 - (5*t[75])/16 + t[79]/16 - 
       t[81]/32 + t[82]/32 + (17*t[83])/48 + (41*t[84])/192 + (5*t[85])/24 + 
       (7*t[86])/48 + (29*t[87])/64 + (29*t[88])/128 + (53*t[89])/128 - 
       t[100]/2) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^3*
      ((-59*t[3])/64 - (655*t[5])/384 + (109*t[6])/192 + (217*t[7])/96 + 
       (133*t[8])/192 + (239*t[9])/128 - (7*t[10])/192 - (17*t[11])/32 + 
       (7*t[12])/384 - (139*t[13])/192 + (1885*t[14])/1152 + 
       (3397*t[15])/6912 - (11*t[28])/48 - (19*t[29])/64 + (5*t[30])/16 - 
       t[31]/8 - t[35]/4 + (3*t[40])/16 + (73*t[44])/192 - (79*t[48])/96 + 
       (191*t[50])/192 - (191*t[52])/192 + (109*t[54])/192 - (4*t[60])/3 + 
       (47*t[61])/16 - (299*t[62])/384 + (1171*t[63])/384 - (233*t[64])/96 + 
       (829*t[65])/576 + (1747*t[66])/576 - t[72]/8 - t[73]/16 - 
       (7*t[75])/16 - (3*t[76])/8 + t[79]/16 + (11*t[83])/48 + 
       (15*t[84])/64 + (15*t[85])/64 + (7*t[86])/48 + (25*t[87])/48 + 
       (25*t[88])/96 + (17*t[89])/32 - t[100]/2) + 
     HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]^2*((13*t[3])/32 + (11*t[5])/12 - 
       (211*t[6])/192 + (17*t[7])/24 - (169*t[8])/48 + (13*t[9])/32 - 
       t[10]/24 + (73*t[11])/64 + t[12]/48 + (11*t[13])/24 - 
       (125*t[14])/576 - (317*t[15])/864 - t[28]/12 - t[29]/8 - (3*t[30])/8 + 
       t[31]/8 + t[35]/4 - (3*t[40])/16 + (11*t[44])/48 - (145*t[48])/192 + 
       (55*t[50])/192 - (55*t[52])/192 - (211*t[54])/192 + (179*t[60])/96 - 
       (23*t[61])/32 - (179*t[62])/192 - (221*t[63])/192 - (113*t[64])/192 - 
       (607*t[65])/288 - (1037*t[66])/288 + t[72]/8 - t[75]/4 + (3*t[76])/8 + 
       (11*t[83])/24 + (3*t[84])/32 + (3*t[85])/32 + t[86]/6 - 
       (83*t[87])/96 - (83*t[88])/192 - (73*t[89])/64 - t[100]/4) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^5*((77*t[2])/192 - (5*t[3])/12 + 
       (11*t[4])/96 + (11*t[5])/32 - (67*t[6])/96 + (41*t[7])/64 - 
       (155*t[8])/64 + (125*t[9])/192 - t[10]/24 + (41*t[11])/48 - 
       (5*t[12])/24 + (155*t[13])/576 + (1043*t[14])/1152 - (23*t[15])/3456 - 
       t[20]/24 + t[23]/8 + t[24]/8 - t[28]/12 - (5*t[29])/24 - t[30]/16 - 
       t[31]/8 - (7*t[32])/48 + (5*t[33])/48 - t[34]/24 - (5*t[35])/8 - 
       (3*t[44])/8 - (29*t[48])/48 + (7*t[49])/192 + (37*t[50])/96 - 
       (7*t[51])/384 - (37*t[52])/96 - (7*t[53])/192 - (37*t[54])/48 - 
       (13*t[59])/96 + (51*t[60])/32 + (7*t[61])/24 - (145*t[62])/192 - 
       (119*t[63])/192 - (185*t[64])/96 - (55*t[65])/32 - (221*t[66])/96 - 
       t[73]/8 + (3*t[74])/16 - (3*t[75])/8 + (3*t[79])/16 + t[81]/16 - 
       t[82]/16 + t[83]/3 + (17*t[84])/96 + (5*t[85])/48 - (19*t[86])/48 - 
       (25*t[87])/32 - (25*t[88])/64 - (5*t[89])/64 - t[100]/4) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((155*t[2])/96 + (337*t[3])/96 + (51*t[4])/16 + (47*t[5])/24 - 
       (2003*t[6])/768 + (17*t[7])/96 - (1387*t[8])/192 - (219*t[9])/128 - 
       (97*t[10])/96 + (4051*t[11])/768 - (151*t[12])/64 + (1807*t[13])/432 - 
       (9401*t[14])/2304 + (4781*t[15])/6912 - t[20]/12 - t[24]/3 - 
       t[27]/12 + (5*t[28])/6 - t[29]/3 + (9*t[30])/8 - t[31]/2 - 
       (49*t[32])/96 + t[33]/12 - (7*t[34])/12 - t[36]/8 - (11*t[37])/24 - 
       t[38]/24 - (5*t[39])/24 + (53*t[40])/96 - (11*t[41])/48 + 
       (11*t[42])/48 - (5*t[43])/48 + (37*t[44])/48 + t[45]/2 + t[46]/16 - 
       (3*t[47])/8 - (461*t[48])/768 - (19*t[49])/96 + (1015*t[50])/768 + 
       (5*t[51])/32 - (1399*t[52])/768 - (13*t[53])/96 - (985*t[54])/256 + 
       t[59]/24 - (379*t[60])/128 + (517*t[61])/384 - (119*t[62])/256 + 
       (805*t[63])/768 - (4231*t[64])/768 + (2165*t[65])/1152 - 
       (7325*t[66])/1152 - t[70]/12 + t[71]/12 + (3*t[73])/8 + (7*t[75])/8 - 
       (17*t[76])/12 + t[77]/24 + (5*t[78])/3 - (3*t[79])/2 + (17*t[81])/48 - 
       (41*t[82])/48 - (25*t[83])/24 + (51*t[84])/128 - (427*t[85])/384 + 
       (4*t[86])/3 + (343*t[87])/384 + (23*t[88])/768 - (313*t[89])/256 + 
       t[95]/4 - (5*t[96])/12 - t[97]/2 - 8*t[98] + (19*t[99])/2 + 
       (3*t[100])/8) + HPL[{1}, 1 - u]^2*M1[u, v, w]*
      ((57*t[3])/8 + (521*t[5])/48 - (19*t[6])/3 - (125*t[7])/12 - 
       (263*t[8])/24 - (233*t[9])/16 - (7*t[10])/24 + (53*t[11])/8 + 
       (7*t[12])/48 + (83*t[13])/24 - (1409*t[14])/144 - (1367*t[15])/864 + 
       t[20]/2 + t[28]/6 - (13*t[29])/8 - t[30]/2 + t[31]/2 - (3*t[32])/4 + 
       2*t[35] - (3*t[40])/4 - (5*t[44])/24 + (25*t[48])/24 - (11*t[50])/3 + 
       (11*t[52])/3 - (19*t[54])/3 - (5*t[60])/12 - (41*t[61])/4 - 
       (83*t[62])/48 - (389*t[63])/48 + (181*t[64])/12 - (581*t[65])/72 - 
       (1079*t[66])/72 + t[69]/2 + t[72]/2 + t[73]/2 + t[75]/2 + 
       (3*t[76])/2 - t[79]/2 + (7*t[83])/12 - (27*t[84])/8 - (27*t[85])/8 + 
       (7*t[86])/6 - (19*t[87])/12 - (19*t[88])/24 - (57*t[89])/8 + 
       t[100]/2) + HPL[{1}, 1 - w]^2*M1[w, v, u]*(-t[2]/3 + (37*t[3])/12 - 
       t[4]/24 + (27*t[5])/16 - (173*t[6])/48 + (5*t[7])/8 - (37*t[8])/8 - 
       (187*t[9])/48 - (23*t[10])/48 + (173*t[11])/48 - (11*t[12])/24 - 
       (55*t[13])/144 - (667*t[14])/288 + (979*t[15])/864 + t[20]/3 + 
       t[23]/2 + t[24]/2 + (2*t[28])/3 + (13*t[29])/6 + t[30]/2 - t[31]/2 + 
       (17*t[32])/12 - (4*t[33])/3 - (5*t[34])/3 - t[35] - t[44]/4 + 
       (19*t[48])/48 + t[49]/48 + (107*t[50])/48 - t[51]/96 - 
       (107*t[52])/48 - t[53]/48 - (181*t[54])/48 + t[59]/6 - (35*t[60])/4 + 
       (25*t[61])/6 - t[62]/2 + (181*t[63])/12 + (73*t[64])/24 + 
       (7*t[65])/12 + (49*t[66])/12 - t[83]/6 - (19*t[84])/6 - 
       (43*t[85])/12 - (4*t[86])/3 - (3*t[87])/4 - (3*t[88])/8 - 
       (35*t[89])/8 + t[100]/2) + HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - u]*
      ((11*t[3])/16 + (139*t[5])/96 - (73*t[6])/48 - (2*t[7])/3 - 
       (205*t[8])/48 - (71*t[9])/32 - (5*t[10])/48 + (13*t[11])/8 + 
       (5*t[12])/96 + (23*t[13])/48 - (685*t[14])/288 + (95*t[15])/1728 + 
       (5*t[28])/12 - (5*t[29])/16 + (3*t[30])/4 + (59*t[44])/48 + t[48]/6 + 
       t[50]/48 - t[52]/48 - (73*t[54])/48 - (5*t[60])/3 - (5*t[61])/8 - 
       (109*t[62])/96 + (5*t[63])/96 + (145*t[64])/48 - (31*t[65])/144 - 
       (325*t[66])/144 + t[73]/4 + (5*t[75])/4 - t[79]/4 - (17*t[83])/12 - 
       (13*t[84])/16 - (13*t[85])/16 + (5*t[86])/12 + (5*t[87])/3 + 
       (5*t[88])/6 - (13*t[89])/8 + t[100]/2) + HPL[{1}, 1 - w]^5*
      HPL[{0, 1}, 1 - w]*((-13*t[2])/16 + (19*t[3])/12 - (11*t[4])/48 + 
       (9*t[5])/16 + (79*t[6])/48 - (19*t[7])/8 + (69*t[8])/16 - 
       (17*t[9])/6 - (7*t[10])/96 - (11*t[11])/6 + (7*t[12])/96 - 
       (61*t[13])/144 - (1523*t[14])/576 - (17*t[15])/864 + t[20]/3 + 
       (2*t[28])/3 + (5*t[29])/12 + (5*t[30])/8 + (13*t[32])/24 - 
       (5*t[33])/24 + t[34]/3 + t[35]/2 + (3*t[44])/4 + (19*t[48])/12 - 
       (7*t[49])/96 - (43*t[50])/48 + (7*t[51])/192 + (43*t[52])/48 + 
       (7*t[53])/96 + (5*t[54])/3 + (11*t[59])/30 - (55*t[60])/16 - 
       (23*t[61])/24 + (85*t[62])/32 + (137*t[63])/96 + (53*t[64])/12 + 
       (133*t[65])/48 + (275*t[66])/48 + t[73]/4 - t[74]/4 + (5*t[75])/4 - 
       t[79]/4 - t[81]/8 + t[82]/8 - (5*t[83])/3 - (41*t[84])/48 - 
       (23*t[85])/24 - (7*t[86])/12 + (25*t[87])/16 + (25*t[88])/32 - 
       (11*t[89])/32 + t[100]/2) + HPL[{1}, 1 - u]^2*M1[v, w, u]*
      (3*t[3] + (271*t[5])/48 - (155*t[6])/48 - (13*t[7])/3 - (175*t[8])/24 - 
       (69*t[9])/16 - (5*t[10])/24 + (55*t[11])/16 + (5*t[12])/48 + 
       (61*t[13])/24 - (169*t[14])/36 - (1585*t[15])/864 + (5*t[28])/6 + 
       (3*t[29])/8 - t[30] + t[31]/2 + t[35] - (3*t[40])/4 - (13*t[44])/24 + 
       (37*t[48])/48 - (97*t[50])/48 + (97*t[52])/48 - (155*t[54])/48 + 
       (133*t[60])/24 - (61*t[61])/8 - (7*t[62])/12 - (115*t[63])/12 + 
       (317*t[64])/48 - (59*t[65])/9 - (247*t[66])/18 + t[72]/2 + t[73]/2 + 
       t[75]/2 + (3*t[76])/2 - t[79]/2 - t[83]/3 - t[84]/2 - t[85]/2 + 
       (5*t[86])/6 - (49*t[87])/24 - (49*t[88])/48 - (55*t[89])/16 + 
       t[100]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((13*t[3])/24 + t[4]/24 + (13*t[5])/12 - (67*t[6])/24 + (19*t[7])/6 - 
       (32*t[8])/3 + (49*t[9])/24 + t[10]/6 + (29*t[11])/12 - t[12]/8 + 
       (19*t[13])/48 - (11*t[14])/18 - (125*t[15])/432 + t[28]/3 - t[29]/2 + 
       (19*t[44])/12 - (37*t[48])/24 + (43*t[50])/24 - (43*t[52])/24 - 
       (67*t[54])/24 + (29*t[60])/12 - (25*t[61])/24 - (7*t[62])/3 + 
       (5*t[63])/3 - (29*t[64])/6 - (469*t[65])/108 - (161*t[66])/36 + 
       t[75] - (5*t[83])/6 - t[84]/4 - t[85]/4 - (2*t[86])/3 - 
       (23*t[87])/12 - (23*t[88])/24 - (21*t[89])/8 + t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
      (t[2]/6 + (5*t[3])/12 - t[4]/12 + t[5]/8 - (11*t[6])/24 + (7*t[7])/4 - 
       (11*t[8])/4 + (53*t[9])/24 + t[10]/24 + (5*t[11])/24 - t[12]/6 - 
       (11*t[13])/36 + (65*t[14])/144 - (101*t[15])/432 + t[20]/6 + t[28]/3 + 
       t[29]/3 + (5*t[32])/6 - (2*t[33])/3 + t[34]/6 - (5*t[48])/24 + 
       t[49]/24 + (23*t[50])/24 - t[51]/48 - (23*t[52])/24 - t[53]/24 - 
       (13*t[54])/24 + t[60] - (11*t[61])/12 + t[62]/2 + (5*t[63])/3 - 
       (11*t[64])/3 - (11*t[65])/6 + (7*t[66])/6 + t[75] - (5*t[83])/6 - 
       t[84]/3 - t[85]/6 - (2*t[86])/3 - 2*t[87] - t[88] - (3*t[89])/2 + 
       t[100]) + HPL[{1}, 1 - w]^2*M1[v, u, w]*((-2*t[2])/3 + (5*t[3])/12 - 
       t[4]/12 + (9*t[5])/8 - (17*t[6])/24 - t[7]/4 - (7*t[8])/4 - 
       (7*t[9])/24 - (11*t[10])/24 + (11*t[11])/24 - (5*t[12])/12 - 
       t[13]/18 + (29*t[14])/144 - (65*t[15])/432 + t[20]/6 + t[23]/2 + 
       t[24]/2 + t[28]/3 + t[29]/3 - t[31]/2 + (5*t[32])/6 - (2*t[33])/3 + 
       t[34]/6 - t[35] - t[44] + t[48]/24 + t[49]/24 + (5*t[50])/24 - 
       t[51]/48 - (5*t[52])/24 - t[53]/24 - (19*t[54])/24 + t[59]/3 + 
       (3*t[60])/2 - (5*t[61])/3 + t[62]/4 - (13*t[63])/12 - (7*t[64])/6 - 
       2*t[65] - t[66]/6 - (5*t[83])/6 - t[84]/3 - (2*t[85])/3 - 
       (2*t[86])/3 - (3*t[87])/2 - (3*t[88])/4 - (3*t[89])/4 + t[100]) + 
     HPL[{1}, 1 - w]^2*M1[v, w, u]*((-35*t[2])/24 - t[3]/12 - (11*t[4])/24 - 
       (13*t[5])/8 + (5*t[6])/3 + (33*t[8])/8 + (7*t[9])/12 + (17*t[10])/48 - 
       (55*t[11])/24 + (31*t[12])/48 - (19*t[13])/18 - (287*t[14])/288 + 
       (25*t[15])/432 + t[20]/6 - t[23]/2 - t[24]/2 + t[28]/3 + (5*t[29])/6 + 
       t[30]/4 + t[31]/2 + (7*t[32])/12 - (5*t[33])/12 + t[34]/6 + 2*t[35] + 
       t[44]/2 + (19*t[48])/24 - (7*t[49])/48 - (5*t[50])/12 + (7*t[51])/96 + 
       (5*t[52])/12 + (7*t[53])/48 + (47*t[54])/24 + (3*t[59])/4 - 
       (13*t[60])/8 - (11*t[61])/12 + (27*t[62])/16 + (71*t[63])/48 - 
       t[64]/6 + (53*t[65])/24 + (155*t[66])/24 + t[73]/2 - t[74]/2 + 
       t[75]/2 - t[79]/2 - t[81]/4 + t[82]/4 - (5*t[83])/6 - (5*t[84])/24 + 
       t[85]/12 + (5*t[86])/6 - t[87]/8 - t[88]/16 + (3*t[89])/16 + t[100]) + 
     HPL[{1}, 1 - u]^2*M1[v, u, w]*((-15*t[3])/8 - (14*t[5])/3 + 
       (145*t[6])/48 + (29*t[7])/12 + (91*t[8])/12 + (27*t[9])/8 + t[10]/6 - 
       (51*t[11])/16 - t[12]/12 - (13*t[13])/6 + (395*t[14])/144 + 
       (22*t[15])/27 + t[28]/3 + t[29]/2 + (3*t[30])/2 - t[31]/2 - t[35] + 
       (3*t[40])/4 - (5*t[44])/12 + (7*t[48])/48 + (59*t[50])/48 - 
       (59*t[52])/48 + (145*t[54])/48 - (89*t[60])/24 + (35*t[61])/8 + 
       (53*t[62])/48 + (371*t[63])/48 - (235*t[64])/48 + (323*t[65])/72 + 
       (917*t[66])/72 - t[72]/2 - (3*t[76])/2 - (4*t[83])/3 + t[84]/8 + 
       t[85]/8 - (2*t[86])/3 + (5*t[87])/24 + (5*t[88])/48 + (51*t[89])/16 + 
       t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*
      (-t[1]/4 - (191*t[2])/96 + (127*t[3])/192 - (131*t[4])/32 + 
       (241*t[5])/96 - (1243*t[6])/768 + (193*t[7])/96 - (611*t[8])/192 + 
       (189*t[9])/128 - (493*t[10])/192 - (1069*t[11])/768 + (55*t[12])/16 - 
       (1375*t[13])/1728 - (1471*t[14])/2304 - (7529*t[15])/6912 - t[20]/6 + 
       t[24]/12 - t[27]/6 - (17*t[28])/24 - (7*t[29])/96 - (11*t[30])/8 + 
       t[31]/4 - t[32]/48 - (17*t[33])/24 + (13*t[34])/12 + t[35]/2 + 
       t[36]/2 + (7*t[37])/12 - (5*t[38])/24 + (17*t[39])/24 - 
       (125*t[40])/96 + t[41]/6 - t[42]/6 - t[43]/12 + t[44]/24 - 
       (13*t[45])/8 - (3*t[46])/16 + (17*t[47])/8 - (349*t[48])/768 - 
       (145*t[49])/192 - (721*t[50])/768 + t[51]/128 + (1297*t[52])/768 + 
       (209*t[53])/192 - (89*t[54])/256 + (7*t[59])/48 + (73*t[60])/128 - 
       (2215*t[61])/384 + (461*t[62])/256 - (1015*t[63])/768 + 
       (7549*t[64])/768 - (731*t[65])/1152 - (781*t[66])/1152 - t[70]/6 + 
       t[71]/6 + t[72]/4 - (5*t[73])/8 - (3*t[74])/8 + (3*t[75])/8 + 
       (61*t[76])/24 - t[77]/24 - (11*t[78])/12 + t[79]/8 + t[80] + 
       (19*t[81])/48 + (35*t[82])/48 + (2*t[83])/3 - (149*t[84])/128 + 
       (181*t[85])/384 - (5*t[86])/24 - (1009*t[87])/384 - (1649*t[88])/768 - 
       (605*t[89])/256 + t[95]/2 + (2*t[96])/3 + (3*t[97])/8 + (25*t[98])/2 - 
       15*t[99] + t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-277*t[2])/36 + (8135*t[3])/576 + 
       (43*t[4])/36 + (55*t[5])/16 - (6253*t[6])/1152 - (725*t[7])/288 - 
       (233*t[8])/36 - (4567*t[9])/576 + (395*t[10])/144 + 
       (8197*t[11])/1152 + (535*t[12])/144 - (5669*t[13])/5184 + 
       (3287*t[14])/1152 + (8237*t[15])/2592 - t[20] + t[22] + (5*t[24])/9 - 
       (5*t[27])/9 - (23*t[28])/18 - (91*t[29])/72 + (163*t[30])/36 - 
       (445*t[32])/72 + (101*t[33])/36 + (11*t[34])/12 + (5*t[35])/6 - 
       (8*t[36])/3 - (5*t[37])/9 - (25*t[38])/36 + t[39]/9 + (35*t[40])/144 + 
       (5*t[41])/36 - (5*t[42])/36 + (5*t[43])/36 - (15*t[44])/32 - 
       (55*t[45])/9 - (17*t[46])/24 + 5*t[47] - (6599*t[48])/1152 + 
       (65*t[49])/12 + (4013*t[50])/1152 - (637*t[51])/288 - 
       (493*t[52])/1152 - (155*t[53])/36 - (9701*t[54])/1152 + 
       (23*t[59])/18 - (5993*t[60])/192 + (4321*t[61])/576 + 
       (1975*t[62])/1152 + (64321*t[63])/1152 - (11*t[64])/1152 - 
       (5297*t[65])/576 + (39007*t[66])/1728 - (5*t[70])/9 + (5*t[71])/9 - 
       (5*t[72])/9 - (37*t[73])/12 - t[74] + (7*t[75])/4 + (11*t[76])/18 - 
       (5*t[77])/18 - (299*t[78])/36 + t[79]/4 + (185*t[80])/18 - 
       (25*t[81])/12 + (79*t[82])/36 + (49*t[83])/18 - (8651*t[84])/576 - 
       (3539*t[85])/576 - (55*t[86])/36 - (8993*t[87])/576 - 
       (12193*t[88])/1152 - (15749*t[89])/1152 + (11*t[95])/3 + 
       (20*t[96])/9 + (5*t[97])/4 + (89*t[98])/3 - 33*t[99] + (7*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      (t[1]/2 - (449*t[2])/288 + 10*t[3] - (361*t[4])/48 - (111*t[5])/32 - 
       (291*t[6])/16 + (2815*t[7])/96 - (881*t[8])/32 + (97*t[9])/6 - 
       (51*t[10])/8 + (103*t[11])/16 + (37*t[12])/96 - (1027*t[13])/144 - 
       (1517*t[14])/576 - (695*t[15])/108 - t[20]/4 + t[22]/2 - 
       (5*t[23])/12 - (5*t[24])/12 - t[28]/6 - (3*t[29])/4 - (14*t[30])/3 - 
       (25*t[31])/12 + (49*t[32])/8 - (17*t[33])/3 - (37*t[34])/12 + 
       (5*t[35])/12 + (5*t[36])/2 + t[37]/2 + t[38] + (3*t[40])/2 + t[41]/4 - 
       t[42]/4 + (3*t[43])/4 + (17*t[44])/12 + (7*t[45])/2 - t[46]/4 - 
       2*t[47] - (235*t[48])/24 - (443*t[49])/96 + (19*t[50])/2 + 
       (503*t[51])/192 - (25*t[52])/2 + (443*t[53])/96 - (153*t[54])/16 - 
       (59*t[59])/144 + (83*t[60])/16 + (137*t[61])/48 - (2575*t[62])/96 + 
       (163*t[63])/96 + (287*t[64])/32 - (2045*t[65])/144 - (13*t[66])/16 - 
       t[69]/2 - (3*t[72])/2 - (35*t[74])/24 - (7*t[75])/3 - (17*t[76])/4 - 
       2*t[77] + (5*t[79])/24 + t[80]/2 - (41*t[81])/12 + (35*t[82])/12 - 
       (3*t[83])/4 + (41*t[84])/16 - (89*t[85])/48 + (641*t[86])/24 - 
       (49*t[87])/16 - (43*t[88])/96 - (877*t[89])/96 - (8*t[95])/3 - 
       t[97]/2 - 24*t[98] + 24*t[99] + (5*t[100])/4) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - w]*((299*t[3])/96 + (445*t[5])/64 - 
       (1271*t[6])/96 + (97*t[7])/8 - (4441*t[8])/96 + (285*t[9])/64 - 
       (11*t[10])/32 + (163*t[11])/12 + (11*t[12])/64 + (863*t[13])/288 - 
       (297*t[14])/64 - (1963*t[15])/1152 + (31*t[28])/24 - (89*t[29])/32 + 
       (3*t[30])/8 + (5*t[31])/12 + (5*t[35])/6 - (5*t[40])/8 + 
       (685*t[44])/96 - (371*t[48])/48 + (209*t[50])/32 - (209*t[52])/32 - 
       (1271*t[54])/96 + (26*t[60])/3 - 2*t[61] - (2627*t[62])/192 + 
       (121*t[63])/64 - (75*t[64])/8 - (1613*t[65])/96 - (7873*t[66])/288 + 
       (5*t[72])/12 + (19*t[73])/24 + (19*t[75])/8 + (5*t[76])/4 - 
       (19*t[79])/24 - (59*t[83])/24 - (41*t[84])/32 - (41*t[85])/32 + 
       (11*t[86])/8 - (97*t[87])/24 - (97*t[88])/48 - (163*t[89])/12 + 
       (3*t[100])/2) + HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - u]*
      ((-11*t[2])/9 + (13*t[3])/6 - (13*t[4])/32 + (11*t[5])/6 - 
       (5*t[6])/48 + (167*t[7])/96 - (20*t[8])/3 + (7*t[9])/4 + 
       (19*t[10])/192 - (11*t[11])/32 - (161*t[12])/192 - (251*t[13])/288 - 
       (715*t[14])/1152 - (371*t[15])/1728 + (2*t[20])/3 + (5*t[23])/12 + 
       (5*t[24])/12 + (4*t[28])/3 + (7*t[29])/8 + (49*t[30])/48 - 
       (5*t[31])/12 + (71*t[32])/48 - (13*t[33])/16 + (2*t[34])/3 - 
       (5*t[35])/3 + (3*t[44])/8 - t[48]/32 - (5*t[49])/64 + (41*t[50])/24 + 
       (5*t[51])/128 - (41*t[52])/24 + (5*t[53])/64 - (5*t[54])/32 + 
       (107*t[59])/144 + (169*t[60])/96 - (11*t[61])/8 + (493*t[62])/192 + 
       (667*t[63])/192 - (187*t[64])/24 - (481*t[65])/96 + (553*t[66])/96 + 
       (3*t[73])/8 + (5*t[74])/12 + (47*t[75])/24 + (5*t[79])/12 - 
       (3*t[81])/16 + (3*t[82])/16 - (79*t[83])/24 - (115*t[84])/96 - 
       (79*t[85])/48 - (47*t[86])/12 - (121*t[87])/32 - (121*t[88])/64 - 
       (623*t[89])/192 + (3*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w]*((-3*t[1])/8 + (65*t[2])/144 + (3833*t[3])/288 - 
       (20*t[4])/9 + (593*t[5])/96 - (1691*t[6])/576 - (13*t[7])/6 - 
       (227*t[8])/96 - (845*t[9])/72 - (1201*t[10])/288 + (1175*t[11])/576 + 
       (521*t[12])/144 + (77*t[13])/288 - (15089*t[14])/1728 + 
       (335*t[15])/324 - (5*t[20])/36 - t[22]/4 - t[23]/12 - t[24]/6 - 
       t[27]/12 - (10*t[28])/9 + (91*t[29])/72 + (43*t[30])/24 + t[31]/3 - 
       (527*t[32])/288 + (7*t[33])/72 - (41*t[34])/36 + t[35]/4 + 
       (7*t[36])/8 + t[37]/6 - t[38]/6 + t[39]/24 - (5*t[40])/48 - t[41]/6 + 
       t[42]/6 + t[43]/12 + (53*t[44])/16 - (11*t[45])/8 - t[46]/4 + 
       (11*t[47])/8 - (311*t[48])/576 - (71*t[49])/144 - (367*t[50])/576 + 
       (5*t[51])/72 + (511*t[52])/576 + (95*t[53])/144 - (1435*t[54])/576 - 
       (73*t[59])/144 - (1943*t[60])/96 - (37*t[61])/144 + (111*t[62])/64 + 
       (9973*t[63])/576 + (4639*t[64])/288 + (1961*t[65])/288 + 
       (409*t[66])/32 - (3*t[69])/4 + t[70]/6 - t[71]/6 - t[73]/24 - 
       (25*t[74])/24 - (3*t[75])/8 + (7*t[76])/12 - (17*t[77])/24 - 
       (5*t[78])/6 - (19*t[79])/24 + (3*t[80])/4 - (25*t[81])/16 + 
       (31*t[82])/16 + (35*t[83])/72 - (1585*t[84])/288 - (619*t[85])/144 + 
       (385*t[86])/72 + (601*t[87])/96 + (281*t[88])/192 - (305*t[89])/64 + 
       t[95] + (7*t[96])/12 + (11*t[98])/2 - (11*t[99])/2 + (5*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v]*
      ((5*t[1])/12 - (5*t[2])/12 - (527*t[3])/48 + (281*t[4])/24 - 
       (1939*t[5])/288 + (1099*t[6])/288 - (359*t[7])/48 + (247*t[8])/144 - 
       (499*t[9])/288 + (227*t[10])/36 - (209*t[11])/288 - (1475*t[12])/288 + 
       (823*t[13])/144 + (2557*t[14])/288 + (12655*t[15])/5184 - 
       (4*t[20])/3 - (131*t[28])/36 - (91*t[29])/144 - (103*t[30])/144 - 
       (5*t[31])/6 - (515*t[32])/144 + (119*t[33])/48 - (53*t[34])/18 - 
       (17*t[35])/3 - 2*t[36] + (5*t[38])/6 + (5*t[40])/4 - t[43] - 
       (601*t[44])/144 + (35*t[45])/12 - (25*t[47])/12 - (209*t[48])/288 - 
       (31*t[49])/48 - (265*t[50])/96 + (71*t[51])/96 + (25*t[52])/96 + 
       (31*t[53])/48 + (1063*t[54])/288 - (25*t[59])/72 + (2435*t[60])/144 + 
       (2089*t[61])/144 + (2327*t[62])/288 - (5245*t[63])/288 - 
       (3037*t[64])/96 - (3437*t[65])/432 - (775*t[66])/48 - t[69] - 
       (5*t[72])/6 - (41*t[73])/12 + (65*t[74])/18 - (59*t[75])/12 - 
       (35*t[76])/12 + 2*t[77] + (11*t[78])/3 + (41*t[79])/12 - 
       (13*t[80])/2 + (7*t[81])/9 - (29*t[82])/18 + (59*t[83])/36 + 
       (1265*t[84])/144 + (419*t[85])/144 - (1001*t[86])/36 - 
       (127*t[87])/48 + (83*t[88])/288 + (4885*t[89])/288 - (29*t[95])/9 - 
       (5*t[97])/12 - 20*t[98] + 20*t[99] + (11*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      ((-13*t[2])/48 - (35*t[3])/12 + (109*t[4])/48 - (27*t[5])/8 - 
       (619*t[6])/96 + (149*t[7])/16 - (215*t[8])/16 + (235*t[9])/24 + 
       (149*t[10])/96 + (721*t[11])/96 - (107*t[12])/96 - t[13]/48 + 
       (3355*t[14])/576 + (1795*t[15])/864 + t[20]/12 - t[23]/4 - t[24]/4 + 
       (2*t[28])/3 + (11*t[29])/3 - (3*t[30])/8 + t[31]/4 + (67*t[32])/24 - 
       (71*t[33])/24 - (23*t[34])/12 + t[35]/2 - t[36]/2 - t[43]/4 - 
       (13*t[44])/8 - (121*t[48])/96 + (53*t[49])/96 + (667*t[50])/96 - 
       (53*t[51])/192 - (667*t[52])/96 - (53*t[53])/96 - (713*t[54])/96 + 
       (5*t[59])/24 - 2*t[60] + (95*t[61])/12 + (13*t[62])/24 + 
       (509*t[63])/24 - (515*t[64])/24 - (209*t[65])/48 - (77*t[66])/48 + 
       t[69] - t[70]/2 + t[71]/2 - t[73]/4 + (3*t[74])/4 + t[75]/4 + 
       (3*t[76])/4 + t[77]/2 + t[78]/2 + t[79]/4 - t[80] + (5*t[81])/8 - 
       (5*t[82])/8 + (5*t[83])/6 - (71*t[84])/48 - (29*t[85])/24 - 
       (97*t[86])/12 - (75*t[87])/8 - (75*t[88])/16 - (107*t[89])/16 + 
       2*t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - u]*
      ((11*t[3])/4 + (139*t[5])/24 - (73*t[6])/12 - (8*t[7])/3 - 
       (205*t[8])/12 - (71*t[9])/8 - (5*t[10])/12 + (13*t[11])/2 + 
       (5*t[12])/24 + (23*t[13])/12 - (685*t[14])/72 + (95*t[15])/432 + 
       (5*t[28])/3 - (5*t[29])/4 + 3*t[30] + (59*t[44])/12 + (2*t[48])/3 + 
       t[50]/12 - t[52]/12 - (73*t[54])/12 - (20*t[60])/3 - (5*t[61])/2 - 
       (109*t[62])/24 + (5*t[63])/24 + (145*t[64])/12 - (31*t[65])/36 - 
       (325*t[66])/36 + t[73] + 5*t[75] - t[79] - (17*t[83])/3 - 
       (13*t[84])/4 - (13*t[85])/4 + (5*t[86])/3 + (20*t[87])/3 + 
       (10*t[88])/3 - (13*t[89])/2 + 2*t[100]) + HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*((117*t[3])/16 - (9*t[4])/4 + 
       (697*t[5])/96 - (455*t[6])/96 - (299*t[7])/48 - (199*t[8])/48 - 
       (245*t[9])/32 - (29*t[10])/48 + (79*t[11])/32 + (23*t[12])/96 + 
       (43*t[13])/72 - (227*t[14])/36 - (3469*t[15])/1728 + t[20]/2 - 
       (7*t[28])/12 - t[29]/16 - (5*t[30])/2 + t[31]/4 - t[32]/4 - t[33]/2 + 
       2*t[35] + t[36]/2 - (3*t[40])/8 + t[43]/4 - (7*t[44])/3 + 
       (115*t[48])/96 - (3*t[49])/8 - (229*t[50])/96 + (3*t[51])/16 + 
       (229*t[52])/96 + (3*t[53])/8 - (359*t[54])/96 + (127*t[60])/48 - 
       (215*t[61])/16 - (115*t[62])/96 - (397*t[63])/96 + (827*t[64])/96 - 
       (1175*t[65])/144 - (709*t[66])/144 + t[69]/2 + t[72]/4 - t[73]/4 - 
       t[74]/2 - (3*t[75])/4 + (3*t[76])/4 - t[77]/2 - t[78]/2 + t[79]/4 + 
       t[80] - t[81]/2 + t[82]/2 + (23*t[83])/6 - (39*t[84])/16 - 
       (35*t[85])/16 + (47*t[86])/12 - (295*t[87])/48 - (283*t[88])/96 - 
       (139*t[89])/32 + 2*t[100]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 0, 1}, 1 - w]*((-13*t[2])/4 + (19*t[3])/3 - (11*t[4])/12 + 
       (9*t[5])/4 + (79*t[6])/12 - (19*t[7])/2 + (69*t[8])/4 - (34*t[9])/3 - 
       (7*t[10])/24 - (22*t[11])/3 + (7*t[12])/24 - (61*t[13])/36 - 
       (1523*t[14])/144 - (17*t[15])/216 + (4*t[20])/3 + (8*t[28])/3 + 
       (5*t[29])/3 + (5*t[30])/2 + (13*t[32])/6 - (5*t[33])/6 + (4*t[34])/3 + 
       2*t[35] + 3*t[44] + (19*t[48])/3 - (7*t[49])/24 - (43*t[50])/12 + 
       (7*t[51])/48 + (43*t[52])/12 + (7*t[53])/24 + (20*t[54])/3 + 
       (3*t[59])/2 - (55*t[60])/4 - (23*t[61])/6 + (287*t[62])/24 + 
       (233*t[63])/24 + (53*t[64])/3 + (133*t[65])/12 + (275*t[66])/12 + 
       t[73] - t[74] + 5*t[75] - t[79] - t[81]/2 + t[82]/2 - (20*t[83])/3 - 
       (41*t[84])/12 - (23*t[85])/6 - (7*t[86])/3 + (25*t[87])/4 + 
       (25*t[88])/8 - (11*t[89])/8 + 2*t[100]) + HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*((-11*t[2])/48 + (5*t[3])/6 - 
       (17*t[4])/48 + t[5]/8 + (31*t[6])/48 - t[7]/4 + (23*t[8])/16 + 
       (17*t[9])/48 - t[10]/96 - (4*t[11])/3 - (5*t[12])/96 - (7*t[13])/9 - 
       (545*t[14])/576 - (67*t[15])/432 + t[20]/3 + (2*t[28])/3 + 
       (11*t[29])/12 + t[30]/8 + (37*t[32])/24 - (29*t[33])/24 + t[34]/3 + 
       t[35]/2 - t[44]/4 + (23*t[48])/24 - t[49]/96 - t[50]/48 + t[51]/192 + 
       t[52]/48 + t[53]/96 + (2*t[54])/3 + t[59]/8 - (13*t[60])/16 - 
       (7*t[61])/3 + (71*t[62])/32 + (107*t[63])/96 - (31*t[64])/48 + 
       (11*t[65])/48 + (245*t[66])/48 + t[73]/4 - t[74]/4 + (5*t[75])/4 - 
       t[79]/4 - t[81]/8 + t[82]/8 - (5*t[83])/3 - (35*t[84])/48 - 
       (7*t[85])/12 - (7*t[86])/12 - (21*t[87])/16 - (21*t[88])/32 - 
       (37*t[89])/32 + 2*t[100]) + HPL[{1}, 1 - w]^2*M1[u, v, w]*
      ((-13*t[2])/8 - t[3]/24 - (13*t[4])/24 - (21*t[5])/8 + t[6]/3 + 
       (11*t[7])/4 + (13*t[8])/8 + (47*t[9])/12 + (19*t[10])/48 - 
       (4*t[11])/3 + (29*t[12])/48 - (217*t[13])/144 - (73*t[14])/288 + 
       (55*t[15])/216 - t[20]/6 - t[23]/2 - t[24]/2 - t[28]/3 + (7*t[29])/6 - 
       (3*t[30])/4 + t[31]/2 + (11*t[32])/12 - (13*t[33])/12 - t[34]/6 + 
       3*t[35] + t[44]/2 + t[48]/12 - (5*t[49])/48 + (19*t[50])/24 + 
       (5*t[51])/96 - (19*t[52])/24 + (5*t[53])/48 + (2*t[54])/3 + 
       (7*t[59])/12 - (7*t[60])/8 - (4*t[61])/3 + (9*t[62])/16 + 
       (133*t[63])/48 - (107*t[64])/24 + (9*t[65])/8 + (133*t[66])/24 + 
       t[69] - t[70]/2 + t[71]/2 + t[73]/2 - t[74]/2 + t[75]/2 - t[79]/2 - 
       t[81]/4 + t[82]/4 + t[83]/12 + (5*t[84])/24 + (2*t[85])/3 + 
       (7*t[86])/6 - (11*t[87])/8 - (11*t[88])/16 - (15*t[89])/16 + 
       2*t[100]) + HPL[{1}, 1 - w]^3*Omega2[v, w, u]*
      ((-31*t[2])/12 + (17*t[3])/6 - (11*t[4])/12 - (11*t[5])/4 + 
       (13*t[6])/3 - (7*t[7])/4 + (49*t[8])/4 - (4*t[9])/3 + (17*t[10])/24 - 
       (67*t[11])/12 + (31*t[12])/24 - (41*t[13])/18 - (755*t[14])/144 - 
       (17*t[15])/216 + t[20]/3 - t[23] - t[24] + (2*t[28])/3 + (5*t[29])/3 + 
       t[30]/2 + t[31] + (7*t[32])/6 - (5*t[33])/6 + t[34]/3 + 4*t[35] + 
       3*t[44] + (10*t[48])/3 - (7*t[49])/24 - (4*t[50])/3 + (7*t[51])/48 + 
       (4*t[52])/3 + (7*t[53])/24 + (59*t[54])/12 + t[59] - (37*t[60])/4 - 
       (19*t[61])/12 + (119*t[62])/24 + (149*t[63])/24 + (175*t[64])/24 + 
       (55*t[65])/6 + (50*t[66])/3 + t[73] - t[74] + 3*t[75] - t[79] - 
       t[81]/2 + t[82]/2 - (8*t[83])/3 - (7*t[84])/6 - (7*t[85])/12 + 
       (5*t[86])/3 + (13*t[87])/4 + (13*t[88])/8 - (5*t[89])/8 + 2*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
      ((19*t[3])/16 + (151*t[5])/96 - (25*t[6])/48 - (8*t[7])/3 - 
       (37*t[8])/48 - (59*t[9])/32 + (7*t[10])/48 + (3*t[11])/8 - 
       (7*t[12])/96 + (9*t[13])/16 - (697*t[14])/288 - (781*t[15])/1728 + 
       (11*t[28])/12 + (11*t[29])/16 + t[30]/4 - (25*t[44])/48 + 
       (17*t[48])/12 - (47*t[50])/48 + (47*t[52])/48 - (25*t[54])/48 + 
       (4*t[60])/3 - (33*t[61])/8 + (119*t[62])/96 - (199*t[63])/96 + 
       (85*t[64])/48 - (259*t[65])/144 - (193*t[66])/144 + t[73]/4 + 
       (5*t[75])/4 - t[79]/4 - (5*t[83])/3 - (9*t[84])/16 - (9*t[85])/16 - 
       (7*t[86])/12 - (4*t[87])/3 - (2*t[88])/3 - (3*t[89])/8 + 2*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((29*t[3])/4 + (179*t[5])/12 + (49*t[6])/24 - (223*t[7])/6 + 
       (86*t[8])/3 - 37*t[9] - (7*t[10])/6 - (7*t[11])/8 + (7*t[12])/12 + 
       (17*t[13])/3 - (1423*t[14])/72 + (25*t[15])/216 + (8*t[28])/3 + 
       (3*t[29])/2 + 3*t[30] + t[31] + 2*t[35] - (3*t[40])/2 - (35*t[44])/6 + 
       (331*t[48])/24 - (397*t[50])/24 + (397*t[52])/24 + (49*t[54])/24 - 
       (137*t[60])/12 - (75*t[61])/4 + (305*t[62])/24 - (721*t[63])/24 + 
       (1379*t[64])/24 + (317*t[65])/36 - (361*t[66])/36 + t[72] + 2*t[73] + 
       4*t[75] + 3*t[76] - 2*t[79] - (11*t[83])/3 - (21*t[84])/4 - 
       (21*t[85])/4 + (14*t[86])/3 + (185*t[87])/12 + (185*t[88])/24 + 
       (7*t[89])/8 + 2*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-7*t[2])/2 - (59*t[3])/12 - (5*t[4])/3 - 21*t[5] + (19*t[6])/12 + 
       20*t[7] + (17*t[8])/2 + (80*t[9])/3 + (13*t[10])/3 - (29*t[11])/6 + 
       (17*t[12])/3 - (425*t[13])/72 + (101*t[14])/18 + (259*t[15])/216 - 
       (8*t[20])/3 - 5*t[23] - 5*t[24] - (16*t[28])/3 + (8*t[29])/3 - 
       5*t[30] + 5*t[31] - (7*t[32])/3 - t[33]/3 - (8*t[34])/3 + 16*t[35] + 
       6*t[44] - (11*t[48])/3 - (2*t[49])/3 + (25*t[50])/6 + t[51]/3 - 
       (25*t[52])/6 + (2*t[53])/3 + (25*t[54])/6 + t[59]/3 - (7*t[60])/2 + 
       (43*t[61])/6 - (31*t[62])/4 + (157*t[63])/12 - (259*t[64])/12 + 
       (34*t[65])/3 + (35*t[66])/3 + 2*t[69] - t[70] + t[71] + 2*t[73] - 
       2*t[74] - 2*t[75] - 2*t[79] - t[81] + t[82] + (53*t[83])/6 + 
       (16*t[84])/3 + (55*t[85])/6 + (44*t[86])/3 - (3*t[87])/2 - 
       (3*t[88])/4 + (9*t[89])/4 + 2*t[100]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w]*((-17*t[2])/6 + (65*t[3])/6 - 
       (11*t[4])/12 + (23*t[5])/4 + (91*t[6])/12 - (81*t[7])/4 + 
       (57*t[8])/2 - (313*t[9])/12 - (49*t[10])/24 - (53*t[11])/6 + 
       (25*t[12])/24 - (7*t[13])/36 - (2555*t[14])/144 - (5*t[15])/54 + 
       t[20]/3 + t[23] + t[24] + (2*t[28])/3 + (5*t[29])/3 + (9*t[30])/2 - 
       t[31] + (7*t[32])/6 - (5*t[33])/6 + t[34]/3 + 2*t[35] + 3*t[44] + 
       (25*t[48])/3 - (7*t[49])/24 - (97*t[50])/12 + (7*t[51])/48 + 
       (97*t[52])/12 + (7*t[53])/24 + (49*t[54])/6 + t[59]/3 - (99*t[60])/4 - 
       (29*t[61])/6 + (77*t[62])/8 - (55*t[63])/24 + (527*t[64])/12 + 
       (239*t[65])/12 + (257*t[66])/12 + t[73] - 2*t[74] + 3*t[75] - 
       2*t[79] - t[81]/2 + t[82]/2 - (14*t[83])/3 - (59*t[84])/12 - 
       (19*t[85])/3 + (14*t[86])/3 + (69*t[87])/4 + (69*t[88])/8 + 
       (21*t[89])/8 + 2*t[100]) + HPL[{1}, 1 - u]^2*M1[w, v, u]*
      ((-15*t[3])/8 - (55*t[5])/12 + (185*t[6])/48 + (13*t[7])/12 + 
       (119*t[8])/12 + (29*t[9])/8 + t[10]/3 - (67*t[11])/16 - t[12]/6 - 
       2*t[13] + (511*t[14])/144 + (223*t[15])/216 + (2*t[28])/3 + t[29]/2 + 
       t[30]/2 - t[31]/2 - t[35] + (3*t[40])/4 - (19*t[44])/12 + 
       (71*t[48])/48 + (19*t[50])/48 - (19*t[52])/48 + (185*t[54])/48 - 
       (49*t[60])/24 + (19*t[61])/8 + (121*t[62])/48 + (247*t[63])/48 - 
       (299*t[64])/48 + (343*t[65])/72 + (889*t[66])/72 - t[72]/2 - 
       (3*t[76])/2 - (2*t[83])/3 + (5*t[84])/8 + (5*t[85])/8 - (4*t[86])/3 - 
       (35*t[87])/24 - (35*t[88])/48 + (67*t[89])/16 + 2*t[100]) + 
     HPL[{1}, 1 - u]^3*Omega2[u, v, w]*((-7*t[3])/2 - (22*t[5])/3 + 
       (97*t[6])/24 + (49*t[7])/12 + (26*t[8])/3 + (7*t[9])/2 + t[10]/3 - 
       (35*t[11])/8 - t[12]/6 - (43*t[13])/12 + (251*t[14])/72 + 
       (595*t[15])/216 + (2*t[28])/3 - t[29]/2 + 3*t[30] - t[31] - 2*t[35] + 
       (3*t[40])/2 + (17*t[44])/12 + (25*t[48])/24 + (59*t[50])/24 - 
       (59*t[52])/24 + (97*t[54])/24 - (131*t[60])/12 + (35*t[61])/4 + 
       (5*t[62])/6 + (89*t[63])/6 - (163*t[64])/24 + (31*t[65])/3 + 
       (194*t[66])/9 - t[72] + 2*t[75] - 3*t[76] - (11*t[83])/3 - t[84]/2 - 
       t[85]/2 - (4*t[86])/3 + (47*t[87])/12 + (47*t[88])/24 + (35*t[89])/8 + 
       2*t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - v]*
      (-27*t[3] - (1349*t[5])/24 + (943*t[6])/24 + (191*t[7])/6 + 
       (1157*t[8])/12 + (375*t[9])/8 + (31*t[10])/12 - (335*t[11])/8 - 
       (31*t[12])/24 - (293*t[13])/12 + (1759*t[14])/36 + (6191*t[15])/432 - 
       (7*t[28])/3 + (3*t[29])/4 + 6*t[30] - 5*t[31] - 10*t[35] + 
       (15*t[40])/2 - (91*t[44])/12 + (31*t[48])/24 + (317*t[50])/24 - 
       (317*t[52])/24 + (943*t[54])/24 - (425*t[60])/12 + (225*t[61])/4 + 
       (95*t[62])/6 + (455*t[63])/6 - (1729*t[64])/24 + (518*t[65])/9 + 
       (1229*t[66])/9 - 5*t[72] - 3*t[73] - 7*t[75] - 15*t[76] + 3*t[79] + 
       (4*t[83])/3 + 8*t[84] + 8*t[85] - (31*t[86])/3 + (5*t[87])/12 + 
       (5*t[88])/24 + (335*t[89])/8 + 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Nt[u, v, w]*((11*t[3])/16 + t[4]/4 + 
       (5*t[5])/3 + t[6]/3 - (25*t[7])/8 + (19*t[8])/24 - (71*t[9])/24 + 
       (5*t[10])/24 - (2*t[11])/3 - t[12]/6 + (23*t[13])/48 - 
       (149*t[14])/48 - (17*t[15])/864 + (2*t[28])/3 - t[29]/6 + 
       (5*t[30])/6 + (5*t[32])/12 - t[34]/6 + (7*t[44])/12 + (23*t[48])/24 + 
       t[49]/8 - (7*t[50])/8 - t[51]/16 + (7*t[52])/8 - t[53]/8 + t[54]/12 - 
       t[59]/12 - (35*t[60])/12 - (17*t[61])/6 + (35*t[62])/12 + 
       (5*t[63])/12 + (31*t[64])/8 + (187*t[65])/72 + (55*t[66])/24 - 
       t[74]/3 + 2*t[75] + t[81]/6 - t[82]/6 - (5*t[83])/3 - (25*t[84])/24 - 
       (19*t[85])/24 - (4*t[86])/3 + (27*t[87])/8 + (65*t[88])/48 + 
       (11*t[89])/24 + (2*t[95])/3 + 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((7*t[1])/4 - (56*t[2])/3 - (563*t[3])/48 + (337*t[4])/24 - 
       (419*t[5])/48 - (7*t[6])/12 + (103*t[7])/6 - (29*t[8])/2 - 
       (131*t[9])/16 + (89*t[10])/16 - (67*t[11])/12 - (313*t[12])/24 - 
       (2905*t[13])/432 - (5563*t[14])/288 + (31*t[15])/36 + t[17]/4 - 
       2*t[19] - 18*t[20] + 2*t[21] - (8*t[24])/3 - t[25] + t[26] + 
       (11*t[27])/3 - (43*t[28])/3 + (21*t[29])/4 + 10*t[30] - 2*t[31] + 
       (61*t[32])/12 - t[33]/6 - (127*t[34])/6 - 6*t[35] + 2*t[36] + 
       (13*t[37])/6 + (17*t[38])/6 - (16*t[39])/3 + (22*t[40])/3 - 
       (7*t[41])/6 + t[42]/6 - (29*t[43])/12 + (109*t[44])/8 + (89*t[45])/6 + 
       2*t[46] - 12*t[47] + (299*t[48])/24 - (179*t[49])/16 + (61*t[50])/8 + 
       (385*t[51])/96 - (427*t[52])/24 + (473*t[53])/48 + (119*t[54])/24 + 
       4*t[57] + (13*t[59])/3 - (67*t[60])/12 + (463*t[61])/12 + 
       (127*t[62])/48 - (59*t[63])/48 - (833*t[64])/24 + (2273*t[65])/72 + 
       (4331*t[66])/72 - t[68] + (5*t[70])/3 - (5*t[71])/3 - (46*t[72])/3 + 
       18*t[73] + (19*t[74])/6 - 41*t[75] - (28*t[76])/3 + (5*t[77])/6 + 
       (103*t[78])/6 + 10*t[79] - (76*t[80])/3 - (19*t[81])/3 - 2*t[82] - 
       3*t[83] + (91*t[84])/8 + (35*t[85])/8 - (43*t[86])/3 + 
       (509*t[87])/24 + (989*t[88])/48 + (1547*t[89])/48 - t[90]/2 - 
       2*t[93] - (25*t[95])/3 - (11*t[96])/3 - 2*t[97] - 68*t[98] + 
       82*t[99] + 2*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      Omega2[u, v, w]*((55*t[2])/6 - (647*t[3])/24 + (7*t[4])/3 - 
       (173*t[5])/12 + (557*t[6])/48 + (7*t[7])/12 + (92*t[8])/3 + 
       (121*t[9])/24 - (37*t[10])/6 - (685*t[11])/48 - (37*t[12])/4 - 
       (1045*t[13])/216 - (1117*t[14])/144 + (487*t[15])/216 - (4*t[24])/3 + 
       (4*t[27])/3 + 2*t[28] + (5*t[29])/6 + (13*t[30])/3 - 2*t[31] + 
       (59*t[32])/6 - (16*t[33])/3 - 6*t[34] - 4*t[35] + 4*t[36] + 
       (4*t[37])/3 + (5*t[38])/3 - (8*t[39])/3 + (31*t[40])/6 - t[41]/3 + 
       t[42]/3 - t[43]/3 + (31*t[44])/12 + (41*t[45])/3 + t[46] - 11*t[47] + 
       (205*t[48])/16 - (23*t[49])/2 + (73*t[50])/16 + (16*t[51])/3 - 
       (571*t[52])/48 + (53*t[53])/6 + (279*t[54])/16 - (7*t[59])/6 + 
       (463*t[60])/24 + (419*t[61])/24 + (181*t[62])/48 - (1757*t[63])/48 - 
       (197*t[64])/48 + (3047*t[65])/72 + (2149*t[66])/72 + (4*t[70])/3 - 
       (4*t[71])/3 - (2*t[72])/3 + 4*t[73] - 4*t[75] - (38*t[76])/3 + 
       (2*t[77])/3 + (73*t[78])/3 - (62*t[80])/3 + t[81] - (11*t[82])/3 - 
       (8*t[83])/3 + (503*t[84])/24 - (73*t[85])/24 + 4*t[86] + 
       (997*t[87])/24 + (439*t[88])/16 + (1481*t[89])/48 - 4*t[95] - 
       (16*t[96])/3 - 3*t[97] - 88*t[98] + 94*t[99] + 2*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((5*t[2])/12 + (5*t[3])/8 - (9*t[4])/16 - (109*t[5])/32 - 
       (245*t[6])/32 + (171*t[7])/16 - (237*t[8])/16 + (275*t[9])/32 + 
       (41*t[10])/32 + (209*t[11])/32 - (5*t[12])/8 - (83*t[13])/32 + 
       (877*t[14])/192 + (1153*t[15])/576 - t[23]/4 - t[24]/4 + 
       (17*t[29])/4 - (5*t[30])/2 + t[31]/4 + (19*t[32])/8 - (11*t[33])/4 - 
       3*t[34] - (3*t[35])/2 - (15*t[44])/8 - (77*t[48])/32 - (3*t[49])/32 + 
       (207*t[50])/32 + (3*t[51])/64 - (207*t[52])/32 + (3*t[53])/32 - 
       (233*t[54])/32 - t[59]/6 - (27*t[60])/8 + (55*t[61])/8 - 
       (119*t[62])/24 + 23*t[63] - (131*t[64])/8 - (125*t[65])/24 + 
       (27*t[66])/8 + t[73]/2 + t[74] - (5*t[75])/2 + t[79] - t[81]/4 + 
       t[82]/4 + (9*t[83])/4 - (7*t[84])/4 - (3*t[85])/2 - 3*t[86] - 
       (75*t[87])/8 - (75*t[88])/16 - (105*t[89])/16 + (9*t[100])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      ((105*t[3])/16 + (47*t[5])/8 - (89*t[6])/32 - (51*t[7])/8 - 
       (23*t[8])/8 - (109*t[9])/16 + (89*t[11])/32 + (5*t[13])/4 - 
       (121*t[14])/32 - (215*t[15])/144 + (3*t[20])/4 + t[28]/2 - 
       (9*t[29])/8 - (9*t[30])/4 - (9*t[32])/8 + (3*t[35])/2 - (27*t[44])/8 + 
       (29*t[48])/32 - (75*t[50])/32 + (75*t[52])/32 - (89*t[54])/32 + 
       (41*t[60])/16 - (135*t[61])/16 - (53*t[62])/32 - (91*t[63])/32 + 
       (63*t[64])/32 - (1225*t[65])/144 - (229*t[66])/48 + (3*t[69])/4 + 
       t[73]/2 - (5*t[75])/2 - t[79]/2 + (15*t[83])/8 - (27*t[84])/16 - 
       (27*t[85])/16 - (165*t[87])/16 - (165*t[88])/32 - (113*t[89])/32 + 
       (9*t[100])/4) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2*((5*t[1])/4 - (17*t[2])/6 + (437*t[3])/48 + 
       (25*t[4])/12 + (253*t[5])/48 - (671*t[6])/96 + (61*t[7])/12 - 
       (239*t[8])/24 + (67*t[9])/24 + (41*t[10])/6 + (1027*t[11])/96 + 
       (43*t[12])/16 + (1771*t[13])/432 + (1459*t[14])/288 - 
       (1973*t[15])/864 + (2*t[24])/3 - t[25]/2 - (2*t[27])/3 - t[28] + 
       (7*t[29])/12 - (2*t[30])/3 + t[31]/2 - (35*t[32])/12 + (2*t[33])/3 + 
       (5*t[34])/2 + 2*t[35] - 2*t[36] - t[37]/6 + t[38]/6 + (11*t[39])/6 - 
       (25*t[40])/12 + (5*t[41])/12 - (5*t[42])/12 + t[43]/6 - 
       (43*t[44])/24 - (61*t[45])/12 - t[46]/2 + (19*t[47])/4 - 
       (159*t[48])/32 + (45*t[49])/8 - (75*t[50])/32 - (113*t[51])/48 + 
       (433*t[52])/96 - (79*t[53])/24 - (269*t[54])/32 - t[59]/6 - 
       (241*t[60])/48 - (53*t[61])/48 - (1225*t[62])/96 + (449*t[63])/96 + 
       (803*t[64])/96 - (3407*t[65])/144 - (3163*t[66])/144 - (2*t[70])/3 + 
       (2*t[71])/3 + (5*t[72])/6 - 2*t[73] + 2*t[75] + (79*t[76])/12 + 
       t[77]/6 - (32*t[78])/3 + (59*t[80])/6 - t[81]/4 + (13*t[82])/12 + 
       (4*t[83])/3 - (491*t[84])/48 - (71*t[85])/48 + 2*t[86] - 
       (781*t[87])/48 - (375*t[88])/32 - (1055*t[89])/96 + 2*t[95] + 
       (25*t[96])/6 + 2*t[97] + 44*t[98] - 49*t[99] + (9*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      (t[1]/4 - (113*t[2])/24 + (161*t[3])/24 - (5*t[4])/2 + (15*t[5])/4 - 
       (243*t[6])/32 + (503*t[7])/24 - (73*t[8])/3 + (197*t[9])/16 - 
       (37*t[10])/24 + (1021*t[11])/96 + (37*t[12])/6 + (49*t[13])/54 + 
       (2177*t[14])/288 + (1255*t[15])/864 - (2*t[20])/3 - t[24]/6 - 
       t[25]/2 - (2*t[27])/3 - t[29]/6 - 2*t[30] - (19*t[32])/12 - 
       (4*t[33])/3 + (5*t[34])/6 - t[35] + 2*t[36] + (5*t[37])/6 + t[38]/6 + 
       (17*t[39])/6 - (7*t[40])/3 + (5*t[41])/12 - (5*t[42])/12 - t[43]/12 + 
       (5*t[44])/4 - (19*t[45])/4 - t[46]/2 + (23*t[47])/4 - (173*t[48])/32 + 
       (23*t[49])/12 + (269*t[50])/96 - (11*t[51])/8 - (125*t[52])/96 + 
       (11*t[53])/12 - (697*t[54])/96 + (4*t[59])/3 - (649*t[60])/48 + 
       (469*t[61])/48 - (1523*t[62])/96 + (1643*t[63])/96 - (89*t[64])/32 - 
       (443*t[65])/48 - (931*t[66])/144 - (2*t[70])/3 + (2*t[71])/3 - 
       2*t[73] - t[74] + 2*t[75] + (83*t[76])/12 - t[77]/6 - (29*t[78])/3 - 
       (15*t[79])/4 + (9*t[80])/2 - (5*t[81])/12 + (17*t[82])/12 + 
       (4*t[83])/3 - (137*t[84])/16 - (115*t[85])/48 + (5*t[86])/4 - 
       (529*t[87])/48 - (275*t[88])/32 - (341*t[89])/32 + 2*t[95] + 
       (25*t[96])/6 + 2*t[97] + 44*t[98] - 49*t[99] + (9*t[100])/4) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - v]*((-1003*t[2])/288 + 
       (223*t[3])/72 - (227*t[4])/288 - (61*t[5])/48 + (725*t[6])/144 - 
       (175*t[7])/24 + (1963*t[8])/96 - (2305*t[9])/288 - (271*t[10])/576 - 
       (1753*t[11])/288 + (733*t[12])/576 - (179*t[13])/108 - 
       (27359*t[14])/3456 + (623*t[15])/2592 + (7*t[20])/18 - (5*t[23])/12 - 
       (5*t[24])/12 + (7*t[28])/9 + (113*t[29])/72 + (19*t[30])/48 + 
       (5*t[31])/12 + (223*t[32])/144 - (167*t[33])/144 + (7*t[34])/18 + 
       (21*t[35])/4 + (13*t[44])/8 + (1471*t[48])/288 - (115*t[49])/576 - 
       (271*t[50])/72 + (115*t[51])/1152 + (271*t[52])/72 + (115*t[53])/576 + 
       (1529*t[54])/288 + (187*t[59])/144 - (1169*t[60])/96 - 
       (581*t[61])/144 + (417*t[62])/64 + (1439*t[63])/576 + 
       (4985*t[64])/288 + (3793*t[65])/288 + (4775*t[66])/288 + t[69] - 
       t[70]/2 + t[71]/2 + (19*t[73])/24 - (41*t[74])/24 + (19*t[75])/8 - 
       (41*t[79])/24 - (19*t[81])/48 + (19*t[82])/48 - (179*t[83])/72 - 
       (461*t[84])/288 - (25*t[85])/18 + (185*t[86])/72 + (631*t[87])/96 + 
       (631*t[88])/192 + (53*t[89])/64 + (7*t[100])/3) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - v]*((-3*t[3])/32 - (905*t[5])/576 + 
       (2561*t[6])/288 - (2401*t[7])/144 + (9995*t[8])/288 - 
       (2303*t[9])/192 + (31*t[10])/288 - 9*t[11] - (31*t[12])/576 - 
       (103*t[13])/96 - (6481*t[14])/1728 + (12947*t[15])/10368 + 
       (83*t[28])/72 + (235*t[29])/96 + (13*t[30])/8 - (5*t[31])/12 - 
       (5*t[35])/6 + (5*t[40])/8 - (1393*t[44])/288 + (179*t[48])/18 - 
       (2213*t[50])/288 + (2213*t[52])/288 + (2561*t[54])/288 - 
       (815*t[60])/72 - (47*t[61])/12 + (6647*t[62])/576 - (2911*t[63])/576 + 
       (173*t[64])/9 + (12839*t[65])/864 + (16553*t[66])/864 - (5*t[72])/12 + 
       (3*t[73])/8 + (47*t[75])/24 - (5*t[76])/4 - (3*t[79])/8 - 
       (191*t[83])/72 - (115*t[84])/96 - (115*t[85])/96 - (31*t[86])/72 + 
       (241*t[87])/36 + (241*t[88])/72 + 9*t[89] + (7*t[100])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((5*t[1])/12 - (77*t[2])/48 - (495*t[3])/64 + (47*t[4])/4 - 
       (197*t[5])/48 - (371*t[6])/64 + (985*t[7])/96 - (4805*t[8])/96 + 
       (31*t[9])/2 + (257*t[10])/48 + (1789*t[11])/192 - (117*t[12])/32 + 
       (4949*t[13])/576 + (4151*t[14])/576 - (5639*t[15])/1152 - 
       (5*t[28])/4 - (14*t[29])/3 - (17*t[30])/48 + t[31]/6 - 
       (107*t[32])/48 + (77*t[33])/48 - (73*t[34])/24 - (5*t[35])/3 - 
       2*t[36] + (5*t[38])/6 + t[40]/4 - t[43] + (57*t[44])/8 + 
       (35*t[45])/12 - (25*t[47])/12 - (1457*t[48])/192 - (11*t[49])/24 + 
       (859*t[50])/192 + (31*t[51])/48 - (1339*t[52])/192 + (11*t[53])/24 - 
       (403*t[54])/64 + (5*t[59])/16 + (3341*t[60])/96 + (293*t[61])/32 - 
       (85*t[62])/64 - (3649*t[63])/192 - (10199*t[64])/192 - (215*t[65])/9 - 
       (2929*t[66])/72 + t[72]/6 - (19*t[73])/12 + (10*t[74])/3 - 
       (3*t[75])/4 - (11*t[76])/12 + 2*t[77] + (11*t[78])/3 + (19*t[79])/12 - 
       (13*t[80])/2 + (43*t[81])/12 - (7*t[82])/4 - (5*t[83])/12 + 
       (65*t[84])/8 + (67*t[85])/24 - (305*t[86])/12 - (589*t[87])/48 - 
       (141*t[88])/32 + (117*t[89])/64 - (8*t[95])/3 - (5*t[97])/12 - 
       20*t[98] + 20*t[99] + (5*t[100])/2) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*((61*t[3])/4 + (175*t[5])/8 - 
       11*t[6] - (47*t[7])/2 - (69*t[8])/4 - (221*t[9])/8 - t[10]/4 + 
       (45*t[11])/4 + t[12]/8 + (29*t[13])/4 - (479*t[14])/24 - 
       (641*t[15])/144 + t[20] + t[28] - (5*t[29])/4 - 3*t[30] + t[31] - 
       (3*t[32])/2 + 4*t[35] - (3*t[40])/2 - (11*t[44])/4 + (19*t[48])/4 - 
       9*t[50] + 9*t[52] - 11*t[54] + (9*t[60])/2 - (53*t[61])/2 - 
       (5*t[62])/8 - (171*t[63])/8 + (57*t[64])/2 - (673*t[65])/36 - 
       (123*t[66])/4 + t[69] + t[72] + t[73] + t[75] + 3*t[76] - t[79] + 
       t[83]/2 - (23*t[84])/4 - (23*t[85])/4 + t[86] - (17*t[87])/2 - 
       (17*t[88])/4 - (49*t[89])/4 + 3*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
      (4*t[3] - t[4]/4 + (13*t[5])/8 - (67*t[6])/8 + (19*t[7])/4 - 
       (43*t[8])/4 - (15*t[9])/8 - (7*t[10])/8 + (63*t[11])/8 - (5*t[12])/4 - 
       (41*t[13])/24 - (47*t[14])/48 + (39*t[15])/16 + t[20] + t[23] + 
       t[24] + 2*t[28] + 5*t[29] - t[30] - t[31] + (9*t[32])/2 - 4*t[33] - 
       3*t[34] - 2*t[35] - (5*t[44])/2 + (5*t[48])/8 + t[49]/8 + 
       (45*t[50])/8 - t[51]/16 - (45*t[52])/8 - t[53]/8 - (71*t[54])/8 - 
       12*t[60] + (11*t[61])/2 - (13*t[62])/12 + (121*t[63])/4 - 
       (5*t[64])/2 - (5*t[65])/3 + 8*t[66] - t[83] - (11*t[84])/2 - 6*t[85] - 
       4*t[86] - 7*t[87] - (7*t[88])/2 - 10*t[89] + 3*t[100]) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - u]*((11*t[3])/4 + (93*t[5])/16 - 
       (145*t[6])/24 - (67*t[7])/24 - (409*t[8])/24 - (425*t[9])/48 - 
       (3*t[10])/8 + (77*t[11])/12 + (3*t[12])/16 + (23*t[13])/12 - 
       (455*t[14])/48 + (193*t[15])/864 + (13*t[28])/6 - (5*t[29])/4 + 
       3*t[30] + (29*t[44])/6 + (17*t[48])/24 + t[50]/24 - t[52]/24 - 
       (145*t[54])/24 - (79*t[60])/12 - (8*t[61])/3 - (13*t[62])/3 + 
       t[63]/12 + (143*t[64])/12 - (7*t[65])/9 - (80*t[66])/9 + (5*t[73])/6 + 
       (35*t[75])/6 - (7*t[79])/6 - (13*t[83])/2 - (13*t[84])/4 - 
       (13*t[85])/4 + (3*t[86])/2 + (79*t[87])/12 + (79*t[88])/24 - 
       (77*t[89])/12 + 3*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - w]*
      (-2*t[2] + (5*t[3])/3 - (5*t[4])/12 - (35*t[5])/24 + (17*t[6])/12 + 
       (23*t[7])/6 + (19*t[8])/12 + (71*t[9])/24 - (11*t[10])/8 - 
       (5*t[11])/4 + t[12]/2 - 2*t[13] + (37*t[14])/144 - (5*t[15])/16 + 
       2*t[28] + 3*t[29] - (3*t[30])/2 + (7*t[32])/2 - (3*t[33])/2 + 
       (8*t[35])/3 - t[44] + (4*t[48])/3 - t[49]/24 + (11*t[50])/12 + 
       t[51]/48 - (11*t[52])/12 + t[53]/24 + (2*t[54])/3 + (7*t[59])/6 + 
       (37*t[60])/12 - (8*t[61])/3 + (115*t[62])/24 - (59*t[63])/24 - 
       (181*t[64])/12 - t[65]/36 + (341*t[66])/36 + t[67]/6 + t[69] + t[73] - 
       2*t[74] + (5*t[75])/3 - (7*t[79])/3 - t[81]/6 + t[82]/6 - 
       (9*t[83])/2 + t[84]/12 + t[85]/6 - (5*t[86])/3 - (83*t[87])/12 - 
       (83*t[88])/24 - (73*t[89])/24 + 3*t[100]) + 
     B8[u, v, w]*HPL[{1}, 1 - u]*(-t[4] - (7*t[5])/8 - 2*t[6] + (13*t[7])/4 - 
       (25*t[8])/4 + (11*t[9])/8 + t[10]/2 + t[11]/4 + t[12]/8 - 
       (9*t[13])/8 + t[14]/6 + (3*t[15])/16 + t[44] - (7*t[48])/4 - t[49]/4 + 
       (7*t[50])/4 + t[51]/8 - (7*t[52])/4 + t[53]/4 - (5*t[54])/4 - 
       t[60]/2 - t[61]/2 - (7*t[62])/4 + (15*t[63])/4 - 3*t[64] - 
       (5*t[65])/4 + (13*t[66])/12 + t[75] - t[81]/2 + t[82]/2 - t[83] - 
       t[84]/4 - t[85]/2 - 2*t[89] + 3*t[100]) + HPL[{1}, 1 - w]^4*
      HPL[{0, 0, 1}, 1 - w]*((-27*t[2])/8 + (41*t[3])/6 - (9*t[4])/8 + 
       (55*t[5])/24 + (169*t[6])/24 - (21*t[7])/2 + 19*t[8] - (97*t[9])/8 - 
       (3*t[10])/16 - (33*t[11])/4 + (13*t[12])/48 - (37*t[13])/18 - 
       (3287*t[14])/288 - (47*t[15])/216 + (4*t[20])/3 + (8*t[28])/3 + 
       (7*t[29])/4 + (5*t[30])/2 + (13*t[32])/6 - (5*t[33])/6 + (4*t[34])/3 + 
       2*t[35] + 3*t[44] + (55*t[48])/8 - (5*t[49])/16 - (33*t[50])/8 + 
       (5*t[51])/32 + (33*t[52])/8 + (5*t[53])/16 + (29*t[54])/4 + 
       (37*t[59])/24 - (115*t[60])/8 - (16*t[61])/3 + (563*t[62])/48 + 
       (241*t[63])/48 + (881*t[64])/48 + (211*t[65])/18 + (893*t[66])/36 + 
       (5*t[73])/6 - t[74] + (35*t[75])/6 - t[79] - (7*t[81])/12 + 
       (7*t[82])/12 - (22*t[83])/3 - (7*t[84])/2 - (31*t[85])/8 - 
       (7*t[86])/3 + (161*t[87])/24 + (161*t[88])/48 - (41*t[89])/48 + 
       3*t[100]) + B7[u, v, w]*HPL[{1}, 1 - u]*(-t[4]/4 + t[5]/8 - t[6]/2 + 
       t[7]/4 - (3*t[8])/4 - (5*t[9])/8 + t[10]/8 - t[11]/2 - t[12]/4 - 
       (5*t[13])/24 - (13*t[14])/48 - t[15]/48 - t[48]/4 + t[49]/8 + 
       t[50]/4 - t[51]/16 - t[52]/4 - t[53]/8 - t[54]/2 - (3*t[60])/4 - 
       (7*t[61])/4 + (5*t[62])/8 + (7*t[63])/8 + (5*t[64])/8 - (7*t[65])/12 - 
       t[66]/12 + t[83] - t[84]/4 + t[85]/4 + t[87]/4 + t[88]/8 - t[89]/8 + 
       3*t[100]) + B8[w, u, v]*HPL[{1}, 1 - w]*((9*t[2])/4 + t[3]/4 + 
       (5*t[5])/8 - t[7]/2 - (3*t[8])/2 + (5*t[9])/8 + t[10]/2 - 
       (3*t[12])/8 + t[13]/8 + (25*t[14])/24 - (67*t[15])/48 + t[20] + 
       t[28] - t[32] + t[33] + t[34] - t[35] + t[48]/4 - t[50]/4 + t[52]/4 + 
       t[54]/4 - t[59]/2 + 3*t[60] - t[62]/4 - (11*t[63])/4 + (9*t[64])/4 - 
       (13*t[65])/6 - (11*t[66])/6 - t[69] + t[70] - t[71] + t[74] + t[75] - 
       t[83] - 2*t[87] - t[88] + t[89]/4 + 3*t[100]) + 
     B7[w, u, v]*HPL[{1}, 1 - w]*((3*t[2])/2 + t[3]/4 - t[6]/2 + t[7]/2 - 
       t[8] + t[9] + t[10]/2 - t[11]/4 + t[13]/24 + (17*t[14])/12 - 
       (23*t[15])/24 + t[20] + t[34] - t[48]/4 + t[50]/4 - t[52]/4 - 
       t[54]/4 - t[59]/2 + 2*t[60] - t[61]/2 + t[64]/2 - t[65] - 
       (2*t[66])/3 - t[69] + t[70] - t[71] + t[83] - t[87] - t[88]/2 + 
       t[89]/2 + 3*t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - u]*
      ((9*t[3])/4 - t[4]/3 + (7*t[5])/4 + (7*t[6])/12 - (21*t[7])/4 + 
       (10*t[8])/3 - (5*t[9])/6 + t[10]/4 - (5*t[11])/4 + (17*t[13])/24 - 
       (53*t[14])/24 - t[15] + (5*t[28])/3 + (7*t[29])/4 - t[30] - 
       (47*t[44])/12 + (47*t[48])/12 - t[49]/12 - (8*t[50])/3 + t[51]/24 + 
       (8*t[52])/3 + t[53]/12 + (5*t[54])/6 + (41*t[60])/6 - (31*t[61])/3 + 
       (67*t[62])/24 - (187*t[63])/24 + t[64]/4 - (47*t[65])/9 - 
       (49*t[66])/18 + t[73] + (5*t[75])/3 - t[79]/3 - t[81]/6 + t[82]/6 - 
       (8*t[83])/3 + t[84]/6 + t[85]/12 - t[86]/3 - 7*t[87] - (7*t[88])/2 + 
       (2*t[89])/3 + 3*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-9*t[2])/4 + (453*t[3])/16 + 3*t[4] + 
       46*t[5] - (195*t[6])/8 - (301*t[7])/8 - (427*t[8])/8 - (449*t[9])/8 - 
       (19*t[10])/4 + (221*t[11])/8 + (13*t[12])/8 + (279*t[13])/16 - 
       (689*t[14])/12 - (2893*t[15])/288 + t[28] + t[29]/4 + (13*t[30])/4 + 
       3*t[31] + t[32]/2 + (3*t[33])/4 - (7*t[34])/2 + 6*t[35] - 
       (9*t[40])/2 + (57*t[44])/4 + 3*t[48] + (3*t[49])/2 - (47*t[50])/4 - 
       (3*t[51])/4 + (47*t[52])/4 - (3*t[53])/2 - (219*t[54])/8 - t[59]/4 - 
       (85*t[60])/4 - (163*t[61])/4 + (15*t[62])/8 - (237*t[63])/8 + 
       88*t[64] - (43*t[65])/24 - (1445*t[66])/24 + 3*t[72] + 3*t[73] - 
       4*t[74] + 15*t[75] + 9*t[76] - 3*t[79] + 2*t[81] - 2*t[82] - 
       10*t[83] - (139*t[84])/8 - (115*t[85])/8 + 13*t[86] + (229*t[87])/8 + 
       (177*t[88])/16 - (229*t[89])/8 + 8*t[95] + 3*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      ((61*t[2])/8 + (217*t[3])/16 + (25*t[4])/4 + (73*t[5])/2 - (7*t[6])/4 - 
       (429*t[7])/8 + (7*t[8])/8 - (457*t[9])/8 - (17*t[10])/8 + 
       (27*t[11])/4 - (21*t[12])/4 + (737*t[13])/48 - (1565*t[14])/48 - 
       (805*t[15])/288 + t[20] + 3*t[23] + 3*t[24] + 13*t[28] - 
       (15*t[29])/4 + (43*t[30])/4 - 3*t[31] - 2*t[32] + (29*t[33])/4 - 
       (5*t[34])/2 - 12*t[35] - (17*t[44])/4 + (97*t[48])/8 + (17*t[49])/8 - 
       (119*t[50])/8 - (17*t[51])/16 + (119*t[52])/8 - (17*t[53])/8 - 
       (15*t[54])/2 - (15*t[59])/8 - (101*t[60])/4 - 26*t[61] + 
       (241*t[62])/8 - (87*t[63])/8 + (523*t[64])/8 + (313*t[65])/24 - 
       (99*t[66])/8 - t[74] + 12*t[75] + (7*t[81])/2 - (7*t[82])/2 - 
       16*t[83] - (119*t[84])/8 - (117*t[85])/8 - 20*t[86] + (201*t[87])/8 + 
       (149*t[88])/16 + (41*t[89])/8 + 8*t[95] + 3*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^4*(t[1]/8 - t[2]/6 + (45*t[3])/128 + 
       (151*t[4])/64 + (29*t[5])/32 + (21*t[6])/128 - (75*t[7])/16 + 
       (33*t[8])/64 - (63*t[9])/16 + (105*t[10])/128 - (35*t[11])/128 - 
       (177*t[12])/128 + (1795*t[13])/1152 - (1915*t[14])/768 - 
       (629*t[15])/2304 + t[23]/8 + t[24]/8 + (5*t[28])/8 - (5*t[29])/16 + 
       (5*t[30])/8 - (3*t[31])/8 - (3*t[32])/8 + (11*t[33])/16 - 
       (15*t[34])/16 - (5*t[35])/4 - t[36]/4 + t[38]/4 + (3*t[40])/8 - 
       t[43]/8 - t[44]/2 + (7*t[45])/8 - (5*t[47])/8 + (111*t[48])/128 - 
       (33*t[49])/128 - (187*t[50])/128 + (65*t[51])/256 + (91*t[52])/128 + 
       (33*t[53])/128 + (47*t[54])/128 - (11*t[59])/96 + (13*t[60])/32 - 
       (11*t[61])/64 + (217*t[62])/64 - (333*t[63])/64 - (17*t[64])/128 + 
       (179*t[65])/192 - (359*t[66])/192 - t[72]/4 - (3*t[73])/16 + 
       (3*t[74])/8 + (7*t[75])/16 - (7*t[76])/8 + t[77]/4 + (3*t[78])/4 + 
       t[79]/4 - (5*t[80])/4 + (5*t[81])/32 - (13*t[82])/32 - (23*t[83])/16 + 
       (39*t[84])/64 - (23*t[85])/32 - (19*t[86])/4 + (149*t[87])/64 + 
       (153*t[88])/128 + (27*t[89])/8 - t[97]/8 - 6*t[98] + 6*t[99] + 
       3*t[100]) + HPL[{0, 1}, 1 - u]*M1[v, w, u]*((157*t[2])/24 - 
       (317*t[3])/24 - (13*t[4])/24 - (455*t[5])/48 + (559*t[6])/96 + 
       (65*t[7])/6 + (223*t[8])/24 + (325*t[9])/24 - (47*t[10])/48 - 
       (935*t[11])/96 - (15*t[12])/4 - (491*t[13])/108 + (233*t[14])/144 - 
       (181*t[15])/108 + t[20] - t[22] - t[24]/3 + t[27]/3 + t[28] + 
       (11*t[29])/6 - (2*t[30])/3 - t[31] + (16*t[32])/3 - (17*t[33])/6 - 
       t[34] - 2*t[35] + 2*t[36] + (5*t[37])/6 + (2*t[38])/3 - t[39]/6 + 
       (17*t[40])/12 - t[41]/12 + t[42]/12 - t[43]/12 + (7*t[44])/12 + 
       (17*t[45])/3 + t[46]/2 - (9*t[47])/2 + (99*t[48])/32 - (71*t[49])/16 + 
       (39*t[50])/32 + (185*t[51])/96 - (437*t[52])/96 + (181*t[53])/48 + 
       (321*t[54])/32 - (7*t[59])/6 + (863*t[60])/48 + (157*t[61])/48 - 
       (409*t[62])/96 - (2719*t[63])/96 - (931*t[64])/96 + (1675*t[65])/144 + 
       (749*t[66])/144 + t[70]/3 - t[71]/3 + t[72]/3 + 2*t[73] + t[74]/2 - 
       2*t[75] - (19*t[76])/6 + t[77]/6 + (47*t[78])/6 - (29*t[80])/3 + 
       (5*t[81])/4 - (17*t[82])/12 - (8*t[83])/3 + (571*t[84])/48 + 
       (133*t[85])/48 + t[86] + (707*t[87])/48 + (289*t[88])/32 + 
       (1405*t[89])/96 - 3*t[95] - (4*t[96])/3 - t[97] - 28*t[98] + 
       30*t[99] + 3*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*(-t[1]/2 + (5*t[2])/2 + t[3]/8 - 
       (41*t[4])/8 - (37*t[5])/8 + (477*t[6])/32 - 15*t[7] + 42*t[8] + 
       (49*t[9])/16 - (45*t[10])/16 - (701*t[11])/32 - (11*t[12])/16 - 
       (169*t[13])/48 - (11*t[14])/12 - (935*t[15])/288 - (3*t[20])/2 - 
       (5*t[28])/2 + (21*t[29])/2 - 3*t[30] + t[31]/4 + (3*t[32])/4 - 
       t[33]/4 - 2*t[35] + t[36]/2 - t[38]/4 - (3*t[39])/4 + t[40]/8 - 
       t[41]/4 + t[42]/4 + t[43]/4 - (83*t[44])/8 - t[47]/2 + 
       (359*t[48])/32 - (19*t[49])/16 - (237*t[50])/32 + (15*t[51])/32 + 
       (253*t[52])/32 + (3*t[53])/16 + (521*t[54])/32 - (3*t[59])/4 + 
       (157*t[60])/16 - (449*t[61])/16 + (775*t[62])/32 - (407*t[63])/32 + 
       (243*t[64])/32 + (559*t[65])/48 + (419*t[66])/16 - (3*t[69])/2 + 
       t[72]/4 - 2*t[73] - t[74]/2 + (7*t[75])/2 - (5*t[76])/4 - t[77] + 
       2*t[78] + 2*t[79] + t[82] + t[83] + (87*t[84])/16 + (91*t[85])/16 + 
       3*t[86] - (115*t[87])/16 - (107*t[88])/32 + (459*t[89])/32 - 
       (3*t[96])/2 - t[97] - 12*t[98] + 12*t[99] + (15*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      (t[1]/4 + (19*t[2])/6 - (31*t[3])/4 + (21*t[4])/4 - (11*t[5])/4 - 
       (369*t[6])/32 + (123*t[7])/8 - (65*t[8])/2 + (307*t[9])/16 - 
       (9*t[10])/8 + (431*t[11])/32 - (7*t[12])/4 + (1295*t[13])/288 + 
       (685*t[14])/96 - (509*t[15])/288 + (5*t[28])/2 - (3*t[29])/2 + 
       t[30]/4 - t[31]/2 + t[32] - t[33]/2 + t[34]/2 + t[35] - t[36]/2 + 
       t[38]/2 + (3*t[40])/4 - t[43]/4 + (17*t[44])/8 + (7*t[45])/4 - 
       (5*t[47])/4 - (285*t[48])/32 - t[49]/8 + (235*t[50])/32 + 
       (5*t[51])/16 - (283*t[52])/32 + t[53]/8 - (371*t[54])/32 - 
       (37*t[59])/24 + (373*t[60])/16 + (65*t[61])/16 - (341*t[62])/32 - 
       (483*t[63])/32 - (889*t[64])/32 - (233*t[65])/16 - (559*t[66])/16 + 
       (3*t[69])/2 - (3*t[70])/4 + (3*t[71])/4 - t[72]/2 + t[73] + 
       (3*t[75])/2 - t[76] + t[77]/2 + (3*t[78])/2 - (5*t[79])/2 - 
       (5*t[80])/2 + (3*t[81])/4 - (5*t[82])/4 - (41*t[83])/8 + 
       (65*t[84])/16 + (37*t[85])/16 - (133*t[87])/16 - (125*t[88])/32 - 
       (185*t[89])/32 - t[97]/4 - 12*t[98] + 12*t[99] + (15*t[100])/4) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-73*t[2])/24 - (23*t[3])/6 - (35*t[4])/24 - (53*t[5])/4 - 
       (7*t[6])/3 + 17*t[7] + (37*t[8])/8 + (437*t[9])/24 + (29*t[10])/48 - 
       (31*t[11])/24 + (49*t[12])/48 - (227*t[13])/36 + (961*t[14])/288 + 
       (325*t[15])/108 + (2*t[20])/3 - t[23] - t[24] + (4*t[28])/3 + 
       (47*t[29])/6 + (19*t[30])/4 + t[31] + (79*t[32])/12 - (71*t[33])/12 + 
       (2*t[34])/3 + 5*t[35] + 4*t[44] + (79*t[48])/24 - (19*t[49])/48 + 
       (133*t[50])/12 + (19*t[51])/96 - (133*t[52])/12 + (19*t[53])/48 - 
       t[54]/24 + (13*t[59])/12 - (105*t[60])/8 + (103*t[61])/12 + 
       (63*t[62])/16 + (1451*t[63])/48 - (91*t[64])/6 + (93*t[65])/8 + 
       (649*t[66])/24 + (3*t[73])/2 - (3*t[74])/2 + (7*t[75])/2 + 3*t[76] - 
       (3*t[79])/2 - (3*t[81])/4 + (3*t[82])/4 - (7*t[83])/3 - 
       (47*t[84])/24 - (29*t[85])/12 + (11*t[86])/6 - (17*t[87])/8 - 
       (17*t[88])/16 - (157*t[89])/16 + 4*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((59*t[3])/8 + (685*t[5])/48 - (101*t[6])/12 - (34*t[7])/3 - 
       (499*t[8])/24 - (197*t[9])/16 - (11*t[10])/24 + (71*t[11])/8 + 
       (11*t[12])/48 + (51*t[13])/8 - (1885*t[14])/144 - (3295*t[15])/864 + 
       (17*t[28])/6 + t[29]/8 - (5*t[30])/2 + t[31] + 2*t[35] - (3*t[40])/2 + 
       (5*t[44])/24 + (95*t[48])/24 - (61*t[50])/12 + (61*t[52])/12 - 
       (101*t[54])/12 + (119*t[60])/12 - 19*t[61] - (109*t[62])/48 - 
       (1123*t[63])/48 + (53*t[64])/3 - (943*t[65])/72 - (2437*t[66])/72 + 
       t[72] + (3*t[73])/2 + (7*t[75])/2 + 3*t[76] - (3*t[79])/2 - 
       (7*t[83])/3 - (13*t[84])/8 - (13*t[85])/8 + (11*t[86])/6 - 
       (35*t[87])/12 - (35*t[88])/24 - (71*t[89])/8 + 4*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[u, v, w]*
      ((29*t[3])/4 + (323*t[5])/24 - (175*t[6])/24 - (145*t[7])/12 - 
       (197*t[8])/12 - (91*t[9])/8 - t[10]/12 + (59*t[11])/8 + t[12]/24 + 
       (35*t[13])/6 - (221*t[14])/18 - (1679*t[15])/432 + (7*t[28])/3 + 
       (5*t[29])/4 - 2*t[30] + t[31] + 2*t[35] - (3*t[40])/2 - (7*t[44])/6 + 
       (83*t[48])/24 - (125*t[50])/24 + (125*t[52])/24 - (175*t[54])/24 + 
       (143*t[60])/12 - (81*t[61])/4 + (19*t[62])/24 - (515*t[63])/24 + 
       (361*t[64])/24 - (527*t[65])/36 - (1049*t[66])/36 + t[72] + t[73] + 
       3*t[75] + 3*t[76] - t[79] - (7*t[83])/3 - (7*t[84])/4 - (7*t[85])/4 + 
       t[86]/3 - (59*t[87])/12 - (59*t[88])/24 - (59*t[89])/8 + 4*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w]*
      ((-91*t[2])/36 + (11*t[3])/6 - (13*t[4])/12 - (10*t[5])/3 - 
       (3*t[6])/4 + (22*t[7])/3 - (37*t[8])/6 + 9*t[9] + (37*t[10])/24 - 
       (3*t[11])/2 + (17*t[12])/24 - (26*t[13])/9 - (41*t[14])/144 - 
       (5*t[15])/216 - t[20]/3 - (2*t[23])/3 - t[24] - (2*t[28])/3 + 
       (7*t[29])/3 + t[31] + (5*t[32])/3 - 2*t[33] - t[34]/3 + 2*t[35] + 
       (8*t[44])/3 - (17*t[48])/12 - (5*t[49])/24 + (13*t[50])/4 + 
       (5*t[51])/48 - (13*t[52])/4 + (5*t[53])/24 + t[54]/6 + (31*t[59])/36 - 
       (9*t[60])/4 - t[61]/12 - t[62]/8 + (223*t[63])/24 - (269*t[64])/24 - 
       (23*t[65])/18 + (97*t[66])/9 + t[73] + t[75] - t[81]/2 + t[82]/2 - 
       t[83]/3 - (5*t[84])/6 + t[85]/12 + (4*t[86])/3 - (49*t[87])/12 - 
       (49*t[88])/24 - (103*t[89])/24 + 4*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*
      ((5*t[2])/6 + (7*t[3])/6 - t[4]/3 + 3*t[5] - (13*t[6])/12 - 
       (3*t[7])/4 - 3*t[8] - t[9]/6 - (5*t[10])/6 + t[11]/12 - (7*t[12])/6 - 
       (5*t[13])/9 - (25*t[14])/36 - (14*t[15])/27 + (2*t[20])/3 + t[23] + 
       t[24] + (4*t[28])/3 + (4*t[29])/3 - t[31] + (10*t[32])/3 - 
       (8*t[33])/3 + (2*t[34])/3 - 2*t[35] - 2*t[44] + (7*t[48])/6 + 
       t[49]/6 + (7*t[50])/12 - t[51]/12 - (7*t[52])/12 - t[53]/6 - 
       (17*t[54])/12 - t[59]/6 + (3*t[60])/2 - (65*t[61])/12 + 3*t[62] - 
       t[63]/3 - (55*t[64])/24 - (15*t[65])/4 + (43*t[66])/12 + 2*t[75] - 
       (10*t[83])/3 - (19*t[84])/12 - (23*t[85])/12 - (8*t[86])/3 - 4*t[87] - 
       2*t[88] - (13*t[89])/4 + 4*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-11*t[3])/3 - (47*t[5])/6 - (61*t[6])/24 + 
       (75*t[7])/4 - (55*t[8])/3 + 15*t[9] + (2*t[10])/3 + (15*t[11])/8 - 
       t[12]/3 - (15*t[13])/4 + (565*t[14])/72 + (643*t[15])/216 + 
       (4*t[28])/3 - (31*t[29])/12 + (8*t[30])/3 - t[31] - 2*t[35] + 
       (3*t[40])/2 + (17*t[44])/4 - (149*t[48])/24 + (233*t[50])/24 - 
       (233*t[52])/24 - (61*t[54])/24 - (15*t[60])/4 + (143*t[61])/12 - 
       (22*t[62])/3 + (73*t[63])/3 - (689*t[64])/24 - (11*t[65])/18 + 
       (233*t[66])/18 - t[72] - 3*t[76] - (7*t[83])/3 - (8*t[86])/3 - 
       (17*t[87])/4 - (17*t[88])/8 - (15*t[89])/8 + 4*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*
      ((-7*t[2])/4 + (13*t[3])/6 - (13*t[4])/12 - (5*t[5])/2 + (11*t[6])/3 - 
       t[7]/4 + (35*t[8])/4 + (19*t[9])/12 + (19*t[10])/24 - (65*t[11])/12 + 
       (23*t[12])/24 - (23*t[13])/9 - (445*t[14])/144 - (11*t[15])/108 + 
       (2*t[20])/3 - t[23] - t[24] + (4*t[28])/3 + (7*t[29])/3 + t[30]/2 + 
       t[31] + (17*t[32])/6 - (13*t[33])/6 + (2*t[34])/3 + 4*t[35] + t[44] + 
       (8*t[48])/3 - (5*t[49])/24 - (2*t[50])/3 + (5*t[51])/48 + 
       (2*t[52])/3 + (5*t[53])/24 + (49*t[54])/12 + (2*t[59])/3 - 
       (19*t[60])/4 - (47*t[61])/12 + (47*t[62])/8 + (115*t[63])/24 - 
       (7*t[64])/24 + (14*t[65])/3 + (101*t[66])/6 + t[73] - t[74] + 
       3*t[75] - t[79] - t[81]/2 + t[82]/2 - (10*t[83])/3 - (4*t[84])/3 - 
       (5*t[85])/12 + t[86]/3 - (5*t[87])/4 - (5*t[88])/8 - (11*t[89])/8 + 
       4*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w]*
      ((-9*t[2])/4 - (7*t[3])/3 - (13*t[4])/12 - 5*t[5] + (13*t[6])/6 + 
       (7*t[7])/2 + (27*t[8])/4 + (85*t[9])/12 + (19*t[10])/24 - 
       (47*t[11])/12 + (23*t[12])/24 - (55*t[13])/18 + (239*t[14])/144 + 
       (31*t[15])/108 + (2*t[20])/3 - t[23] - t[24] + (4*t[28])/3 + 
       (7*t[29])/3 - (3*t[30])/2 + t[31] + (17*t[32])/6 - (13*t[33])/6 + 
       (2*t[34])/3 + 4*t[35] - t[44] + (17*t[48])/12 - (5*t[49])/24 + 
       t[50]/3 + (5*t[51])/48 - t[52]/3 + (5*t[53])/24 + (31*t[54])/12 + 
       (7*t[59])/6 + (9*t[60])/4 - (11*t[61])/3 + (29*t[62])/8 + 
       (73*t[63])/24 - (119*t[64])/12 + (19*t[65])/12 + (51*t[66])/4 + 
       t[73] - t[74] + t[75] - t[79] - t[81]/2 + t[82]/2 - (7*t[83])/3 + 
       (5*t[84])/12 + (4*t[85])/3 + t[86]/3 - (23*t[87])/4 - (23*t[88])/8 - 
       (7*t[89])/8 + 4*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      Omega2[v, w, u]*((-5*t[3])/2 - (43*t[5])/6 + (125*t[6])/24 + 
       (17*t[7])/12 + (40*t[8])/3 + 4*t[9] + (2*t[10])/3 - (47*t[11])/8 - 
       t[12]/3 - (43*t[13])/12 + (187*t[14])/72 + (449*t[15])/216 + 
       (4*t[28])/3 + (3*t[29])/2 + 3*t[30] - t[31] - 2*t[35] + (3*t[40])/2 - 
       (11*t[44])/12 + (53*t[48])/24 + (31*t[50])/24 - (31*t[52])/24 + 
       (125*t[54])/24 - (79*t[60])/12 + (15*t[61])/4 + (25*t[62])/6 + 
       (79*t[63])/6 - (191*t[64])/24 + (67*t[65])/9 + (214*t[66])/9 - t[72] + 
       2*t[75] - 3*t[76] - (13*t[83])/3 - t[84]/2 - t[85]/2 - (8*t[86])/3 - 
       (5*t[87])/12 - (5*t[88])/24 + (47*t[89])/8 + 4*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-11*t[3])/4 - (55*t[5])/6 + (185*t[6])/24 + (13*t[7])/6 + 
       (119*t[8])/6 + (33*t[9])/4 + (2*t[10])/3 - (67*t[11])/8 - t[12]/3 - 
       4*t[13] + (367*t[14])/72 + (37*t[15])/108 + (4*t[28])/3 + 3*t[29] + 
       t[30] - t[31] - 2*t[35] + (3*t[40])/2 - (19*t[44])/6 + (71*t[48])/24 + 
       (19*t[50])/24 - (19*t[52])/24 + (185*t[54])/24 - (25*t[60])/12 + 
       (11*t[61])/4 + (121*t[62])/24 + (247*t[63])/24 - (275*t[64])/24 + 
       (247*t[65])/36 + (889*t[66])/36 - t[72] - 3*t[76] - (10*t[83])/3 + 
       (5*t[84])/4 + (5*t[85])/4 - (8*t[86])/3 - (59*t[87])/12 - 
       (59*t[88])/24 + (67*t[89])/8 + 4*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      ((11*t[3])/8 + t[4]/2 + (10*t[5])/3 + (2*t[6])/3 - (25*t[7])/4 + 
       (19*t[8])/12 - (71*t[9])/12 + (5*t[10])/12 - (4*t[11])/3 - t[12]/3 + 
       (23*t[13])/24 - (149*t[14])/24 - (17*t[15])/432 + (4*t[28])/3 - 
       t[29]/3 + (5*t[30])/3 + (5*t[32])/6 - t[34]/3 + (7*t[44])/6 + 
       (23*t[48])/12 + t[49]/4 - (7*t[50])/4 - t[51]/8 + (7*t[52])/4 - 
       t[53]/4 + t[54]/6 - t[59]/6 - (35*t[60])/6 - (17*t[61])/3 + 
       (35*t[62])/6 + (5*t[63])/6 + (31*t[64])/4 + (187*t[65])/36 + 
       (55*t[66])/12 - (2*t[74])/3 + 4*t[75] + t[81]/3 - t[82]/3 - 
       (10*t[83])/3 - (25*t[84])/12 - (19*t[85])/12 - (8*t[86])/3 + 
       (27*t[87])/4 + (65*t[88])/24 + (11*t[89])/12 + (4*t[95])/3 + 
       4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*
      (t[1]/8 - t[2]/8 + (15*t[3])/32 + (17*t[4])/16 - (53*t[5])/192 - 
       (193*t[6])/192 - (9*t[7])/32 - (187*t[8])/96 - (41*t[9])/192 + 
       (5*t[10])/48 - t[11]/192 - (169*t[12])/192 + (13*t[13])/32 - 
       (401*t[14])/192 - (2683*t[15])/3456 + (11*t[28])/24 - (17*t[29])/96 + 
       (31*t[30])/96 - t[31]/4 + (23*t[32])/96 + t[33]/32 - (7*t[34])/12 - 
       t[35]/2 + t[38]/4 + (3*t[40])/8 + (25*t[44])/96 + (7*t[45])/8 - 
       (5*t[47])/8 - (97*t[48])/192 - (15*t[49])/32 - (5*t[50])/64 + 
       (23*t[51])/64 - (43*t[52])/64 + (15*t[53])/32 - (37*t[54])/192 - 
       (5*t[59])/48 + (151*t[60])/96 - (67*t[61])/96 - (41*t[62])/192 - 
       (953*t[63])/192 - (41*t[64])/64 - (13*t[65])/288 - (181*t[66])/96 - 
       t[72]/4 + t[73]/8 + t[74]/12 + (3*t[75])/8 - (7*t[76])/8 + t[78]/2 - 
       t[79]/8 - (3*t[80])/4 - t[81]/6 - t[82]/12 - (29*t[83])/24 + 
       (85*t[84])/96 - (17*t[85])/96 - (7*t[86])/24 + (61*t[87])/32 + 
       (199*t[88])/192 + (305*t[89])/192 - t[95]/6 - t[97]/8 - 6*t[98] + 
       6*t[99] + 4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*(-t[1]/4 - (149*t[2])/24 + 
       (47*t[3])/48 + (59*t[4])/12 - (101*t[5])/48 + (655*t[6])/48 - 
       (93*t[7])/8 + (295*t[8])/12 + (5*t[9])/48 + (19*t[10])/3 - 
       (161*t[11])/16 - (31*t[12])/16 + (7*t[13])/9 - (383*t[14])/72 - 
       (1621*t[15])/432 + (13*t[20])/6 + (14*t[28])/3 + (9*t[29])/2 + 
       (5*t[30])/12 + (20*t[32])/3 - (59*t[33])/12 + (23*t[34])/6 + 4*t[35] - 
       (3*t[36])/2 + t[37]/2 - t[38]/2 + t[39]/2 - (5*t[40])/4 + t[41]/4 - 
       t[42]/4 - (3*t[43])/4 - (13*t[44])/12 - (7*t[45])/4 + t[46]/4 + 
       (9*t[47])/4 + (577*t[48])/48 + (55*t[49])/24 - (233*t[50])/48 - 
       (4*t[51])/3 + (305*t[52])/48 - (55*t[53])/24 + (149*t[54])/16 + 
       (49*t[59])/24 - (91*t[60])/12 - (209*t[61])/24 + (923*t[62])/48 + 
       (43*t[63])/16 + (499*t[64])/48 + (563*t[65])/72 + (595*t[66])/24 + 
       t[69]/2 + t[72]/2 + (3*t[73])/2 - t[74]/6 + 11*t[75] + (7*t[76])/4 + 
       (3*t[77])/2 + t[78] - (7*t[79])/2 - t[80] + (25*t[81])/12 - 
       (31*t[82])/12 - (137*t[83])/12 - (41*t[84])/12 - t[85] - 
       (77*t[86])/6 - (77*t[87])/8 - (227*t[88])/48 + (2*t[89])/3 - 
       (2*t[95])/3 + t[97]/4 + 12*t[98] - 12*t[99] + (17*t[100])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (t[1]/2 + (7*t[2])/8 + (159*t[3])/16 - 6*t[4] + (665*t[5])/48 - 
       (133*t[6])/16 - (109*t[7])/12 - (101*t[8])/24 - (911*t[9])/48 - 
       (73*t[10])/24 + (329*t[11])/48 + (199*t[12])/48 - (17*t[13])/72 - 
       (971*t[14])/72 + (391*t[15])/216 + (19*t[28])/6 + (7*t[29])/24 + 
       (7*t[30])/6 + t[31]/2 + (13*t[32])/12 - (3*t[33])/2 - t[34]/3 + 
       2*t[35] + (3*t[36])/2 - t[37]/2 + t[38]/4 + t[39]/4 + (3*t[43])/4 + 
       (7*t[44])/8 - t[46]/4 - t[47]/2 + (105*t[48])/16 - (5*t[49])/8 - 
       (247*t[50])/48 + (3*t[51])/8 + (223*t[52])/48 + (13*t[53])/8 - 
       (93*t[54])/16 + (7*t[59])/12 - (53*t[60])/12 - (125*t[61])/12 - 
       (45*t[62])/8 - (93*t[63])/8 + (511*t[64])/24 - 7*t[65] - 
       (275*t[66])/36 + (3*t[73])/2 - (5*t[74])/3 + 6*t[75] + 2*t[76] - 
       t[77] - (9*t[78])/2 + t[79]/2 + (7*t[80])/2 - (35*t[81])/12 + 
       (35*t[82])/12 - (37*t[83])/6 - (185*t[84])/24 - (22*t[85])/3 + 
       (49*t[86])/6 + (173*t[87])/24 + (63*t[88])/16 - (121*t[89])/12 - 
       (2*t[95])/3 + (3*t[96])/2 + t[97] + 12*t[98] - 12*t[99] + 
       (17*t[100])/4) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-389*t[2])/8 + (3181*t[3])/16 - 
       (619*t[4])/8 + (1103*t[5])/8 - (3235*t[6])/16 + (1213*t[7])/8 - 
       (3397*t[8])/8 - (171*t[9])/4 - (207*t[10])/16 + (759*t[11])/16 + 
       (943*t[12])/16 - (901*t[13])/72 - (6655*t[14])/96 + (1333*t[15])/288 + 
       (15*t[18])/2 + 6*t[20] - (15*t[22])/2 + 2*t[24] - 2*t[27] - 36*t[28] - 
       (197*t[29])/4 + (59*t[30])/2 + 6*t[31] - (107*t[32])/4 - 
       (35*t[33])/2 + 9*t[34] + 19*t[36] - 8*t[37] - (7*t[38])/4 + 
       (61*t[39])/4 - 17*t[40] + (5*t[41])/4 - (5*t[42])/4 + (85*t[43])/8 + 
       (575*t[44])/8 - (121*t[45])/4 - (29*t[46])/2 + 27*t[47] - 
       (2517*t[48])/16 + (347*t[49])/16 + (1139*t[50])/16 - (147*t[51])/32 - 
       (1083*t[52])/16 - (139*t[53])/16 - (2627*t[54])/16 + (13*t[59])/4 - 
       (1031*t[60])/8 - 110*t[61] - (641*t[62])/8 + (3297*t[63])/8 + 
       (415*t[64])/8 - (1241*t[65])/8 + (2633*t[66])/24 - 12*t[68] - 
       12*t[69] - 11*t[70] + 11*t[71] - 20*t[72] - 24*t[73] - (63*t[74])/2 - 
       23*t[75] + (137*t[76])/2 - 15*t[77] - 125*t[78] + 31*t[79] + 
       103*t[80] - (85*t[81])/4 + (353*t[82])/4 + 47*t[83] - (1023*t[84])/8 - 
       (253*t[85])/4 + 71*t[86] - 5*t[87] - (161*t[88])/4 - (2915*t[89])/16 + 
       27*t[95] + 32*t[96] + 9*t[97] + 402*t[98] - 372*t[99] + 
       (9*t[100])/2) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (t[1]/8 - (13*t[2])/32 + (773*t[3])/128 + (37*t[4])/16 + 
       (1477*t[5])/192 - (127*t[6])/128 - (2933*t[7])/192 + (637*t[8])/192 - 
       (2179*t[9])/192 + (97*t[10])/96 + (173*t[11])/384 - (4*t[12])/3 + 
       (4549*t[13])/1152 - (9577*t[14])/1152 - (23351*t[15])/6912 + t[20]/4 + 
       t[28]/3 + (155*t[29])/96 - (125*t[30])/48 + t[31]/4 - (25*t[32])/48 + 
       t[33]/4 - (53*t[34])/48 + (3*t[35])/4 - t[36]/4 + t[38]/4 - 
       (3*t[40])/8 - t[43]/8 - (129*t[44])/32 + (7*t[45])/8 - (5*t[47])/8 + 
       (645*t[48])/128 - (7*t[49])/32 - (2449*t[50])/384 + (15*t[51])/64 + 
       (2161*t[52])/384 + (7*t[53])/32 - (103*t[54])/128 - (5*t[59])/96 + 
       (1205*t[60])/192 - (2785*t[61])/192 + (1019*t[62])/128 - 
       (2255*t[63])/128 + (3041*t[64])/384 - (91*t[65])/16 - (379*t[66])/36 + 
       t[69]/4 + t[72]/4 - t[73]/4 + t[74]/6 + t[75]/2 + (5*t[76])/8 + 
       t[77]/4 + (3*t[78])/4 + t[79]/4 - (5*t[80])/4 + t[81]/6 - 
       (5*t[82])/12 + t[83]/24 - (17*t[84])/48 - (17*t[85])/12 - 
       (59*t[86])/12 - (485*t[87])/96 - (165*t[88])/64 + (599*t[89])/384 + 
       t[95]/6 - t[97]/8 - 6*t[98] + 6*t[99] + (19*t[100])/4) + 
     B6[w, v, u]*HPL[{1}, 1 - u]*((3*t[2])/2 + t[3]/2 - (5*t[4])/4 + t[5]/4 - 
       2*t[6] + (7*t[7])/2 - 7*t[8] + (3*t[9])/4 + (5*t[10])/8 - 
       (3*t[11])/4 - t[12]/8 - (5*t[13])/3 - (13*t[14])/48 - (7*t[15])/12 + 
       2*t[44] - (3*t[48])/2 - t[49]/8 + (3*t[50])/2 + t[51]/16 - 
       (3*t[52])/2 + t[53]/8 - (5*t[54])/4 - t[59]/2 - t[60]/4 - 
       (15*t[61])/4 - (9*t[62])/8 + (13*t[63])/8 - (23*t[64])/8 - 
       (11*t[65])/6 + 3*t[66] + t[73] - t[75] - t[81]/2 + t[82]/2 - t[84]/2 - 
       t[85]/4 + t[87]/4 + t[88]/8 - (13*t[89])/8 + 6*t[100]) + 
     B6[u, v, w]*HPL[{1}, 1 - w]*((3*t[2])/4 - t[3]/2 - (3*t[5])/8 - t[6] - 
       (5*t[8])/2 + (21*t[9])/8 + t[10] + t[11]/4 - (3*t[12])/8 - t[13]/6 + 
       (7*t[14])/24 - (17*t[15])/48 - t[20] + t[28] - t[32] + t[33] - 
       2*t[35] - t[48]/2 + t[50]/2 - t[52]/2 - t[54]/2 - t[61]/2 - 
       (3*t[62])/4 - t[63]/4 + (3*t[64])/4 + t[65]/6 - t[66]/2 + t[73] + 
       t[74] - t[75] + t[89]/4 + 6*t[100]) + B5[w, v, u]*HPL[{1}, 1 - u]*
      ((3*t[2])/2 - t[4]/2 + t[5]/4 - t[6]/2 + t[7]/2 - t[8]/2 - t[9]/4 + 
       t[10]/4 - (3*t[11])/2 - t[12]/2 - (13*t[13])/12 + (7*t[14])/24 - 
       (17*t[15])/24 + t[49]/4 - t[51]/8 - t[53]/4 - t[54]/2 - t[59]/2 + 
       t[60]/2 - 4*t[61] + (7*t[62])/4 + t[63]/4 - t[64]/4 - (5*t[65])/6 + 
       (19*t[66])/6 + t[83] - t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + 
       t[89]/4 + 6*t[100]) + B5[u, w, v]*HPL[{1}, 1 - w]*
      (t[3]/2 - t[4]/2 + (3*t[5])/4 - t[6] + t[7]/2 - (3*t[8])/2 + 
       (5*t[9])/4 + t[10]/4 - (3*t[11])/2 - t[13] - (29*t[14])/24 - 
       (17*t[15])/24 + t[49]/4 - t[51]/8 - t[53]/4 - t[54]/2 - t[60]/2 - 
       (11*t[61])/2 - (7*t[62])/4 - (9*t[63])/4 + (9*t[64])/4 - (5*t[65])/6 + 
       (11*t[66])/6 - t[72] + t[83] - t[84]/2 + t[85]/2 + 4*t[86] + t[87]/2 + 
       t[88]/4 + (3*t[89])/4 + 6*t[100]) + B5[u, v, w]*HPL[{1}, 1 - w]*
      (t[3]/2 - t[6] - 2*t[8] + 2*t[9] + t[10] - t[11]/2 + t[13]/12 + 
       t[14]/6 - (7*t[15])/12 - t[20] - t[48]/2 + t[50]/2 - t[52]/2 - 
       t[54]/2 - 2*t[61] - t[63] + (2*t[65])/3 + t[83] + t[89] + 6*t[100]) + 
     B6[v, u, w]*HPL[{1}, 1 - u]*((-3*t[2])/4 - (3*t[5])/8 + (3*t[6])/4 - 
       2*t[7] + t[8]/2 - (11*t[9])/8 + t[10] - (3*t[11])/2 + (13*t[12])/8 + 
       t[13]/3 - (23*t[14])/24 - (3*t[15])/16 - t[24] + (3*t[48])/4 - 
       (5*t[50])/4 + (5*t[52])/4 + (5*t[54])/4 - (3*t[60])/2 - 2*t[61] + 
       t[62]/2 + t[63]/2 + 3*t[64] + (5*t[65])/3 + t[66] - t[72] + t[73] - 
       t[74] - t[75] - t[83] - t[84]/2 + t[85]/2 + (3*t[87])/2 + 
       (3*t[88])/4 + t[89] + 6*t[100]) + B5[w, u, v]*HPL[{1}, 1 - u]*
      (-t[2]/2 + t[3]/2 + t[4]/2 + (3*t[5])/4 - (3*t[7])/2 - (3*t[8])/2 - 
       (3*t[9])/4 - t[10]/4 - (3*t[11])/2 - (3*t[12])/2 - (31*t[14])/24 - 
       t[15]/24 - t[41]/2 + t[42]/2 + (3*t[49])/4 - (3*t[51])/8 - 
       (3*t[53])/4 - t[54]/2 - t[59]/2 - t[60]/2 - 6*t[61] + (23*t[62])/4 + 
       t[63]/4 - (9*t[64])/4 - t[65]/6 + (11*t[66])/6 - t[72] - t[83] - 
       t[84]/2 + t[85]/2 - 4*t[86] - t[87]/2 - t[88]/4 + (5*t[89])/4 + 
       6*t[100]) + B6[v, w, u]*HPL[{1}, 1 - w]*(t[3] - (5*t[4])/4 + 
       (5*t[5])/4 + (5*t[6])/4 - (7*t[7])/2 + 5*t[8] - (11*t[9])/4 + 
       (5*t[10])/8 - 4*t[11] + (3*t[12])/8 - t[13] - (113*t[14])/48 - 
       (7*t[15])/12 + (5*t[48])/4 - t[49]/8 - (7*t[50])/4 + t[51]/16 + 
       (7*t[52])/4 + t[53]/8 + 2*t[54] - (19*t[60])/4 - (19*t[61])/4 + 
       (21*t[62])/8 - (9*t[63])/8 + (39*t[64])/8 + (10*t[65])/3 + 
       (35*t[66])/6 + t[73] - t[75] - t[81]/2 + t[82]/2 - t[83] - t[84] + 
       t[85]/4 + (11*t[87])/4 + (11*t[88])/8 + (13*t[89])/8 + 6*t[100]) + 
     D35[u, v, w]*((3*t[2])/4 + t[3]/2 - t[4]/2 - (3*t[5])/8 + (3*t[6])/2 - 
       t[7]/2 + (29*t[9])/8 + t[10]/4 - (17*t[11])/4 + (11*t[12])/8 + 
       t[13]/6 + (5*t[14])/6 - (265*t[15])/48 + t[17]/2 - 2*t[24] - t[33] - 
       2*t[48] + t[49]/4 - 2*t[50] - t[51]/8 + 2*t[52] - t[53]/4 + 
       (3*t[54])/2 + (17*t[60])/4 - 10*t[61] + (31*t[62])/8 - (27*t[63])/8 - 
       (13*t[64])/2 - (11*t[65])/6 + (11*t[66])/6 - t[68] - t[81]/2 + 
       (5*t[82])/2 + (19*t[85])/4 - (19*t[87])/4 - (19*t[88])/8 + 
       (7*t[89])/2 + 6*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      Omega2[v, w, u]*((83*t[3])/8 - 4*t[4] + (131*t[5])/8 - (277*t[6])/24 - 
       (29*t[7])/3 - (43*t[8])/2 - (397*t[9])/24 - (9*t[10])/4 + 
       (187*t[11])/24 + (7*t[12])/8 + (263*t[13])/72 - (176*t[14])/9 - 
       (73*t[15])/18 + 2*t[28] - (13*t[29])/12 - t[30]/3 + t[31] + 
       (11*t[32])/6 - t[33] - t[34]/3 + 3*t[35] + t[36] - (3*t[40])/2 + 
       t[43]/2 + (10*t[44])/3 + (47*t[48])/24 - t[49]/2 - (85*t[50])/24 + 
       t[51]/4 + (85*t[52])/24 + t[53]/2 - (241*t[54])/24 - t[59]/6 - 
       (9*t[60])/4 - (275*t[61])/12 - (101*t[62])/24 - (323*t[63])/24 + 
       (803*t[64])/24 - (35*t[65])/6 - (389*t[66])/18 + t[72] + t[73] - 
       (5*t[74])/3 + 6*t[75] + 3*t[76] - t[77] - t[78] - t[79] + 2*t[80] - 
       (2*t[81])/3 + (2*t[82])/3 - 2*t[83] - (16*t[84])/3 - (13*t[85])/3 + 
       11*t[86] + (61*t[87])/6 + (14*t[88])/3 - (263*t[89])/24 + 
       (4*t[95])/3 + 6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      Omega2[u, v, w]*(t[2]/4 - t[3]/24 + (29*t[4])/6 + (41*t[5])/6 + 
       (23*t[6])/8 - 15*t[7] + (43*t[8])/12 - (23*t[9])/2 + (7*t[10])/4 - 
       (13*t[11])/24 - (13*t[12])/6 + (281*t[13])/72 - (139*t[14])/18 + 
       t[15]/16 + t[20]/3 + t[23] + t[24] + 3*t[28] + t[29]/3 + (5*t[30])/3 - 
       t[31] + (3*t[32])/2 - t[33]/3 - 3*t[35] - t[36] - t[43]/2 + t[44]/6 + 
       (45*t[48])/8 + (13*t[49])/12 - (95*t[50])/24 - (13*t[51])/24 + 
       (95*t[52])/24 - (13*t[53])/12 + (5*t[54])/24 - t[59]/12 - 
       (79*t[60])/12 - (11*t[61])/2 + (377*t[62])/24 - (17*t[63])/24 + 
       (47*t[64])/12 + (199*t[65])/36 + (11*t[66])/4 + t[74]/3 + 7*t[75] + 
       t[77] + t[78] - 2*t[80] + (4*t[81])/3 - (4*t[82])/3 - 9*t[83] - 
       (11*t[84])/4 - (41*t[85])/12 - 16*t[86] + 4*t[87] + (4*t[88])/3 + 
       (19*t[89])/24 + (4*t[95])/3 + 6*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      Omega2[v, w, u]*(t[1]/4 - (29*t[2])/4 + (205*t[3])/8 + 16*t[4] + 
       (121*t[5])/8 - (347*t[6])/16 + (37*t[7])/4 - 68*t[8] - (83*t[9])/4 - 
       4*t[10] + (319*t[11])/16 - (77*t[12])/8 + (149*t[13])/24 - 
       (245*t[14])/16 - (53*t[15])/48 - t[19] - t[20] - t[21] + t[22] + 
       t[23] - 2*t[25] + t[26] - 2*t[27] + t[29]/2 + 5*t[30] + t[31] - 
       (15*t[32])/2 + t[33] + t[34]/2 + t[37] + (3*t[38])/2 - t[39] + 
       3*t[40] - t[41]/4 + t[42]/4 + (3*t[44])/4 - t[45] - t[46] - 
       (205*t[48])/16 + 9*t[49] + (63*t[50])/16 - (7*t[51])/2 - 
       (119*t[52])/16 - 6*t[53] - (319*t[54])/16 - (317*t[60])/8 - 
       (25*t[61])/8 - (27*t[62])/16 + (499*t[63])/16 + (75*t[64])/16 - 
       (213*t[65])/8 - (131*t[66])/8 - 2*t[70] + 2*t[71] - 6*t[72] - t[74] + 
       6*t[76] + t[77] - 12*t[78] - 10*t[80] - t[81]/2 - (3*t[82])/2 + 
       t[83] - (107*t[84])/8 - (5*t[85])/8 - 2*t[86] - (11*t[87])/8 - 
       (155*t[88])/16 - (187*t[89])/16 + 2*t[95] + 6*t[96] + 36*t[98] - 
       24*t[99] + 6*t[100]) + HPL[{0, 0, 1}, 1 - u]*Omega2[u, v, w]*
      (-t[1]/4 - (31*t[2])/4 + (121*t[3])/4 - (11*t[4])/4 + (5*t[5])/4 - 
       (305*t[6])/16 + (37*t[7])/4 - (109*t[8])/2 - (37*t[9])/8 - 
       (63*t[10])/8 + (141*t[11])/16 + (19*t[12])/8 + (427*t[13])/72 - 
       (511*t[14])/24 - (65*t[15])/16 - 2*t[19] + 2*t[20] + 2*t[21] - t[22] - 
       t[23] - t[25] + t[26] + t[27] + t[29] + t[30] + 2*t[31] - 
       (17*t[32])/2 + 2*t[33] + t[34]/2 - t[37] - t[38]/2 + t[39] + t[40]/2 - 
       t[41]/4 - t[42]/4 + t[43]/2 + (11*t[44])/2 - 6*t[45] + t[46] + 
       5*t[47] - (247*t[48])/16 - (15*t[49])/8 + (101*t[50])/16 - 
       (9*t[51])/16 - (109*t[52])/16 + (15*t[53])/8 - (317*t[54])/16 + 
       t[59] - (285*t[60])/8 - (159*t[61])/8 + (355*t[62])/16 + 
       (677*t[63])/16 + (109*t[64])/16 + (23*t[65])/24 + (83*t[66])/8 - 
       2*t[70] + 2*t[71] - 4*t[72] - t[74] + 5*t[76] - 2*t[77] - 9*t[78] + 
       10*t[80] - t[81]/2 + (7*t[82])/2 - (93*t[84])/8 + (61*t[85])/8 - 
       4*t[86] - (49*t[87])/8 - (201*t[88])/16 - (151*t[89])/16 + 2*t[95] + 
       2*t[96] - t[97] + 36*t[98] - 24*t[99] + 6*t[100]) + 
     B6[u, w, v]*HPL[{1}, 1 - w]*((-3*t[2])/4 + t[3]/2 - (5*t[4])/4 + 
       (13*t[5])/8 - t[6] - t[7] - 3*t[8] + (13*t[9])/8 + (17*t[10])/8 - 
       4*t[11] + t[12]/4 - (3*t[13])/2 - (25*t[14])/16 - (19*t[15])/48 - 
       t[36] - t[49]/8 + t[51]/16 + t[53]/8 + t[54]/4 - (9*t[60])/4 - 
       (31*t[61])/4 + (21*t[62])/8 - (9*t[63])/8 - (13*t[64])/8 + 
       (7*t[65])/3 + (41*t[66])/6 - t[72] + t[73] - t[75] + t[76] + t[77] - 
       t[78] + 2*t[79] - t[81]/2 + t[82]/2 - t[84]/2 - t[85]/4 - 2*t[86] + 
       (5*t[87])/4 + (5*t[88])/8 + (17*t[89])/8 + 12*t[98] - 12*t[99] + 
       6*t[100]) + B6[w, u, v]*HPL[{1}, 1 - u]*(t[2]/4 + t[3]/2 - 
       (11*t[4])/4 + (23*t[5])/8 - t[6]/2 + t[7]/2 + t[8]/2 - (17*t[9])/8 - 
       (37*t[10])/8 + 2*t[11] - (7*t[12])/4 + (65*t[13])/36 - (39*t[14])/16 + 
       (9*t[15])/16 + t[36] - t[41]/2 + t[42]/2 + t[43] + t[49]/8 - 
       t[51]/16 - t[53]/8 - (5*t[54])/4 - t[59]/2 - (7*t[60])/4 - 
       (15*t[61])/4 + (7*t[62])/8 - (35*t[63])/8 + (89*t[64])/8 + 
       (4*t[65])/3 - (23*t[66])/6 - t[72] + t[73] - t[75] + t[76] - t[78] + 
       4*t[80] + t[81]/2 - t[82]/2 - t[83] - t[84]/2 + (5*t[85])/4 + 
       4*t[86] + (3*t[87])/4 + (3*t[88])/8 + (19*t[89])/8 + 12*t[98] - 
       12*t[99] + 6*t[100]) + D31[u, v, w]*(-t[6] - (3*t[7])/2 - t[8]/2 - 
       t[9]/2 + (5*t[10])/2 + (3*t[11])/2 + t[12] - (29*t[13])/36 + t[14]/2 - 
       t[15]/12 + 2*t[33] - t[39] + t[45] - t[47] + t[48]/2 + t[50]/2 + 
       t[52]/2 - t[54]/2 + t[60] + 3*t[61] - (7*t[62])/2 + (7*t[63])/2 + 
       t[64]/2 - (8*t[65])/3 + t[66] - (3*t[76])/2 + (3*t[78])/2 - 4*t[80] - 
       t[84] - t[85] - (5*t[89])/2 - 12*t[98] + 12*t[99] + 6*t[100]) + 
     D31[w, u, v]*(t[3] - (9*t[4])/2 + (9*t[5])/4 - t[7]/2 - (7*t[8])/2 - 
       (13*t[9])/4 - (5*t[10])/4 - (9*t[11])/2 + t[12] - (7*t[13])/4 - 
       (83*t[14])/24 + (5*t[15])/8 - t[48]/2 - (5*t[49])/4 - t[50]/2 + 
       (5*t[51])/8 + t[52]/2 + (5*t[53])/4 + 2*t[54] - (11*t[60])/2 - 
       (7*t[61])/2 + (7*t[62])/4 + (17*t[63])/4 + (29*t[64])/4 + t[65]/3 + 
       10*t[66] - (5*t[76])/2 + (5*t[78])/2 - t[81] + 2*t[82] - 2*t[84] - 
       (5*t[85])/2 + (9*t[87])/2 + (9*t[88])/4 - (5*t[89])/4 - 12*t[98] + 
       12*t[99] + 6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - u]*(t[1]/4 + (1199*t[2])/288 - (577*t[3])/192 + 
       (151*t[4])/32 - (47*t[5])/48 + (1757*t[6])/384 - (1129*t[7])/96 + 
       (785*t[8])/96 - (167*t[9])/64 + (331*t[10])/192 - (587*t[11])/128 - 
       (131*t[12])/192 + (183*t[13])/32 - (113*t[14])/144 - 
       (7025*t[15])/1728 - t[20]/3 - (7*t[23])/48 - t[24]/12 + (7*t[28])/12 - 
       (61*t[29])/16 + t[30]/48 - (5*t[31])/12 - (179*t[32])/96 + 
       (17*t[33])/8 + (13*t[34])/24 - (7*t[35])/6 - t[36]/2 + t[38]/2 + 
       (3*t[40])/4 - t[43]/4 - (95*t[44])/32 + (7*t[45])/4 - (5*t[47])/4 - 
       (163*t[48])/128 - (33*t[49])/64 - (3097*t[50])/384 + (65*t[51])/128 + 
       (2521*t[52])/384 + (33*t[53])/64 + (611*t[54])/128 - (581*t[59])/288 + 
       (3485*t[60])/192 - (681*t[61])/64 + (2831*t[62])/384 - 
       (9607*t[63])/384 - (433*t[64])/384 - (979*t[65])/192 - 
       (3121*t[66])/192 - t[72]/2 - (3*t[73])/8 + (5*t[74])/12 + 
       (5*t[75])/24 - (5*t[76])/2 + t[77]/2 + (3*t[78])/2 + t[79]/6 - 
       (5*t[80])/2 + (53*t[81])/16 - (13*t[82])/16 - (37*t[83])/24 + 
       (823*t[84])/192 + (377*t[85])/192 - (43*t[86])/6 + (157*t[87])/64 + 
       (157*t[88])/128 + (4487*t[89])/384 - t[97]/4 - 12*t[98] + 12*t[99] + 
       6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((11*t[1])/2 + (45*t[2])/4 - (403*t[3])/8 - 
       (53*t[4])/4 - (11*t[5])/8 + (367*t[6])/16 - (81*t[7])/4 + 
       (247*t[8])/2 - (55*t[9])/4 + (141*t[10])/8 - (255*t[11])/16 - 
       (15*t[12])/4 - (1795*t[13])/72 + (313*t[14])/24 + (391*t[15])/48 + 
       2*t[19] + 2*t[21] - 2*t[23] + 2*t[27] - 2*t[28] - (5*t[29])/2 - 
       4*t[30] + 21*t[32] - t[33] - 15*t[34] + 2*t[35] - 2*t[36] - 3*t[37] + 
       3*t[38] - 2*t[39] + (3*t[40])/2 + 3*t[41] - 2*t[42] + (3*t[43])/2 - 
       (3*t[44])/4 + 21*t[45] - 18*t[47] + (349*t[48])/16 - (65*t[49])/8 - 
       (135*t[50])/16 + (89*t[51])/16 + (119*t[52])/16 + (65*t[53])/8 + 
       (459*t[54])/16 + t[59]/2 + (571*t[60])/8 + (511*t[61])/8 - 
       (647*t[62])/16 - (1801*t[63])/16 - (25*t[64])/16 + (5*t[65])/24 - 
       (385*t[66])/24 + 2*t[69] + 4*t[70] - 4*t[71] + 6*t[72] + 4*t[73] + 
       3*t[74] - 8*t[75] - 13*t[76] + 3*t[77] + 6*t[78] + 16*t[79] - 
       4*t[80] - (23*t[81])/2 - (3*t[82])/2 - 4*t[83] + (149*t[84])/8 - 
       (97*t[85])/8 + 2*t[86] + (249*t[87])/8 + (713*t[88])/16 + 
       (429*t[89])/16 - 10*t[95] - 6*t[96] + 3*t[97] - 96*t[98] + 84*t[99] + 
       6*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-5*t[1])/6 - (163*t[2])/144 + (4841*t[3])/288 - (331*t[4])/48 + 
       (3263*t[5])/144 - (18593*t[6])/1152 + (707*t[7])/144 - 
       (11065*t[8])/288 - (803*t[9])/64 - (1757*t[10])/288 + 
       (18169*t[11])/1152 + (281*t[12])/48 + (8119*t[13])/2592 - 
       (32081*t[14])/3456 - (16747*t[15])/10368 + (4*t[20])/9 - t[22] + 
       (5*t[24])/18 - (5*t[27])/9 + (23*t[28])/36 + (259*t[29])/144 - 
       (37*t[30])/12 + (5*t[31])/3 - (17*t[32])/72 - (61*t[33])/36 - 
       t[34]/18 + (5*t[35])/3 + (8*t[36])/3 + (10*t[37])/9 - (25*t[38])/36 + 
       (49*t[39])/36 - (487*t[40])/144 + (5*t[41])/36 - (5*t[42])/36 + 
       (5*t[43])/36 + (29*t[44])/36 - (65*t[45])/12 - (17*t[46])/24 + 
       (65*t[47])/12 - (6359*t[48])/1152 + (667*t[49])/288 - 
       (755*t[50])/1152 - (247*t[51])/192 + (3635*t[52])/1152 - 
       (347*t[53])/288 - (2345*t[54])/128 + (23*t[59])/72 - 
       (2581*t[60])/192 - (10277*t[61])/576 - (4609*t[62])/384 + 
       (21427*t[63])/1152 + (29255*t[64])/1152 - (38641*t[65])/1728 - 
       (30215*t[66])/1728 - (5*t[70])/9 + (5*t[71])/9 + (5*t[72])/6 - 
       (9*t[73])/4 - (17*t[74])/12 + (31*t[75])/12 + (239*t[76])/36 - 
       (35*t[77])/36 - (23*t[78])/9 - (65*t[79])/12 + (25*t[80])/6 - 
       (37*t[81])/72 + (115*t[82])/72 + (32*t[83])/9 - (941*t[84])/64 - 
       (3793*t[85])/576 + (221*t[86])/36 - (5795*t[87])/576 - 
       (8995*t[88])/1152 - (9463*t[89])/384 + (11*t[95])/3 + (20*t[96])/9 + 
       (5*t[97])/4 + (95*t[98])/3 - 35*t[99] + (37*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((-9*t[2])/4 + (305*t[3])/48 - (59*t[4])/24 - (59*t[5])/16 + 
       (143*t[6])/48 + (79*t[7])/8 + 3*t[8] + (667*t[9])/48 - (25*t[10])/48 - 
       (233*t[11])/48 - (7*t[12])/24 - (199*t[13])/48 - (2879*t[14])/288 - 
       (3149*t[15])/432 + (2*t[20])/3 + t[22]/2 + (13*t[28])/3 + 
       (97*t[29])/12 + (9*t[30])/4 + (97*t[32])/12 - (71*t[33])/12 + 
       (19*t[34])/6 + 2*t[35] + t[36]/2 + t[37]/2 + t[41]/4 - t[42]/4 + 
       t[43]/2 + (17*t[44])/4 + t[46]/4 + t[47]/2 + (167*t[48])/48 + 
       (11*t[49])/48 + (121*t[50])/48 + (7*t[51])/96 - (121*t[52])/48 - 
       (11*t[53])/48 + (223*t[54])/48 + t[59]/2 + (7*t[60])/8 - 
       (179*t[61])/12 - (63*t[62])/8 - (89*t[63])/24 + (265*t[64])/12 - 
       (11*t[65])/12 + (97*t[66])/6 - t[69] - t[72]/2 + (7*t[73])/2 - 
       (3*t[74])/2 + 11*t[75] - t[77]/2 - (11*t[79])/2 + (3*t[80])/2 - 
       t[81]/2 - (37*t[83])/3 - (71*t[84])/24 - (43*t[85])/24 + 
       (119*t[86])/6 - (27*t[87])/4 - (17*t[88])/8 - (143*t[89])/16 + 
       (25*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((33*t[2])/8 + (39*t[3])/16 + t[4]/2 + 
       (221*t[5])/24 + (25*t[6])/48 - (359*t[7])/24 - (131*t[8])/12 - 
       (7*t[9])/2 - (19*t[10])/12 + (11*t[11])/16 + (43*t[12])/24 + 
       (673*t[13])/144 - (1261*t[14])/144 + (1139*t[15])/864 - t[20]/2 + 
       t[22]/2 + (35*t[28])/6 + (37*t[29])/8 + (11*t[30])/4 - t[32]/4 + 
       (3*t[33])/4 + t[34]/2 - 3*t[35] - t[36]/2 - t[37]/2 - t[41]/4 + 
       t[42]/4 - t[43]/2 - (25*t[44])/24 - t[46]/4 - t[47]/2 + 
       (433*t[48])/48 - (9*t[49])/8 - (241*t[50])/48 + (3*t[51])/8 + 
       (241*t[52])/48 + (9*t[53])/8 - (29*t[54])/48 - t[59]/4 + 
       (209*t[60])/12 - (41*t[61])/2 + (44*t[62])/3 - (70*t[63])/3 - 
       (419*t[64])/24 - (389*t[65])/36 - (98*t[66])/9 - t[69]/2 - t[72]/2 + 
       (5*t[73])/2 + t[74] + 11*t[75] + t[77]/2 - t[79]/2 - (3*t[80])/2 - 
       (3*t[81])/4 + (9*t[82])/4 - (193*t[83])/12 - (3*t[84])/8 - 
       (9*t[85])/4 - (73*t[86])/6 - (247*t[87])/24 - (175*t[88])/48 - 
       (21*t[89])/4 + (25*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((5*t[1])/6 + (25*t[2])/3 - 
       (29*t[3])/6 + (133*t[4])/12 - (475*t[5])/144 - (101*t[6])/36 - 
       (143*t[7])/8 - (161*t[8])/72 - (3073*t[9])/144 + (35*t[10])/18 - 
       (301*t[11])/72 - (1571*t[12])/144 - (71*t[13])/54 - (1519*t[14])/72 - 
       (18185*t[15])/2592 + (4*t[20])/3 + (4*t[24])/3 + (4*t[27])/3 - 
       (23*t[28])/18 - (199*t[29])/72 + (533*t[30])/72 - (5*t[31])/3 + 
       (361*t[32])/72 + (11*t[33])/24 - (50*t[34])/9 - (10*t[35])/3 - 
       4*t[36] - (2*t[37])/3 + (7*t[38])/3 - (8*t[39])/3 + (11*t[40])/3 - 
       t[41]/3 + t[42]/3 - t[43]/3 + (503*t[44])/72 + (71*t[45])/6 + t[46] - 
       (73*t[47])/6 - (91*t[48])/72 - (107*t[49])/24 + (43*t[50])/12 + 
       (151*t[51])/48 - (103*t[52])/12 + (43*t[53])/24 - (14*t[54])/9 - 
       (151*t[59])/36 + (583*t[60])/36 - (163*t[61])/36 + (925*t[62])/72 - 
       (575*t[63])/18 - (93*t[64])/8 + (677*t[65])/108 - (373*t[66])/36 + 
       (4*t[70])/3 - (4*t[71])/3 - (5*t[72])/3 + (19*t[73])/6 + 
       (17*t[74])/9 - (23*t[75])/6 - (67*t[76])/6 + (4*t[77])/3 + 
       (32*t[78])/3 + (53*t[79])/6 - 13*t[80] + (14*t[81])/9 - (29*t[82])/9 - 
       (79*t[83])/18 + (215*t[84])/18 + (55*t[85])/36 - (245*t[86])/18 + 
       (43*t[87])/2 + (677*t[88])/36 + (815*t[89])/72 - (34*t[95])/9 - 
       (16*t[96])/3 - (17*t[97])/6 - 80*t[98] + 88*t[99] + (20*t[100])/3) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-3*t[1])/4 + (35*t[2])/72 + (1775*t[3])/144 - (179*t[4])/72 + 
       (755*t[5])/48 - (2909*t[6])/288 - (41*t[7])/24 - (1223*t[8])/48 - 
       (389*t[9])/36 - (437*t[10])/72 + (2321*t[11])/288 + (391*t[12])/144 + 
       (17*t[13])/8 - (2605*t[14])/432 - (475*t[15])/648 + (5*t[20])/9 + 
       (11*t[23])/6 + (5*t[24])/3 - t[27]/6 + (17*t[28])/18 + (25*t[29])/36 + 
       t[30]/3 - (4*t[31])/3 - (71*t[32])/144 - (25*t[33])/18 + 
       (19*t[34])/18 - (13*t[35])/2 + (5*t[36])/4 + (5*t[37])/6 - t[38]/3 + 
       t[39]/12 - (5*t[40])/24 - t[41]/12 + t[42]/12 - t[43]/12 - 
       (17*t[44])/8 - (11*t[45])/4 - t[46]/2 + (13*t[47])/4 - 
       (989*t[48])/288 - (13*t[49])/144 + (95*t[50])/288 - (89*t[51])/288 + 
       (49*t[52])/288 + (61*t[53])/144 - (2917*t[54])/288 - (19*t[59])/72 - 
       (473*t[60])/48 - (889*t[61])/72 + (397*t[62])/96 + (4165*t[63])/288 + 
       (1495*t[64])/144 - (1561*t[65])/144 + (193*t[66])/48 - t[69] - 
       t[70]/6 + t[71]/6 - (19*t[73])/12 + (5*t[74])/12 + t[75]/4 + 
       (7*t[76])/6 - (11*t[77])/12 - (7*t[78])/6 - t[79]/12 - (13*t[81])/8 + 
       (19*t[82])/8 - (133*t[83])/36 - (1069*t[84])/144 - (409*t[85])/72 - 
       (113*t[86])/36 - (281*t[87])/48 - (601*t[88])/96 - (339*t[89])/32 + 
       2*t[95] + (7*t[96])/6 + 11*t[98] - 13*t[99] + (47*t[100])/6) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*((-95*t[2])/12 + 
       (19*t[3])/3 - (17*t[4])/12 - (3*t[5])/2 + t[6]/12 - 7*t[7] - t[8]/4 + 
       (5*t[9])/12 - (385*t[10])/24 - (17*t[11])/6 + (91*t[12])/24 + 
       (11*t[13])/9 - (1481*t[14])/144 - (535*t[15])/108 + (4*t[20])/3 + 
       (8*t[28])/3 + (11*t[29])/3 - (3*t[30])/2 + 8*t[31] + (37*t[32])/6 - 
       (29*t[33])/6 + (4*t[34])/3 + 2*t[35] - t[44] - (5*t[48])/3 - 
       t[49]/24 - (67*t[50])/12 + t[51]/48 + (67*t[52])/12 + t[53]/24 + 
       t[54]/6 + (9*t[59])/2 + (7*t[60])/4 - (73*t[61])/3 + (83*t[62])/8 + 
       (95*t[63])/24 + (59*t[64])/12 - (27*t[65])/4 + (35*t[66])/4 + 
       8*t[69] + 3*t[71] + t[73] - t[74] + 5*t[75] - t[79] - t[81]/2 + 
       t[82]/2 - (20*t[83])/3 - (71*t[84])/12 + (8*t[85])/3 - (7*t[86])/3 - 
       (41*t[87])/4 - (41*t[88])/8 - (57*t[89])/8 + 8*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-11*t[2])/12 + (7*t[3])/3 - (17*t[4])/12 - (3*t[5])/2 + 
       (25*t[6])/12 + t[7] + (31*t[8])/4 + (53*t[9])/12 - t[10]/24 - 
       (29*t[11])/6 - (5*t[12])/24 - (34*t[13])/9 - (329*t[14])/144 - 
       (67*t[15])/108 + (4*t[20])/3 + (8*t[28])/3 + (11*t[29])/3 - 
       (3*t[30])/2 + (37*t[32])/6 - (29*t[33])/6 + (4*t[34])/3 + 2*t[35] - 
       t[44] + (13*t[48])/3 - t[49]/24 + (5*t[50])/12 + t[51]/48 - 
       (5*t[52])/12 + t[53]/24 + (13*t[54])/6 + t[59]/2 - (9*t[60])/4 - 
       (25*t[61])/3 + (67*t[62])/8 + (143*t[63])/24 - (61*t[64])/12 + 
       (31*t[65])/12 + (241*t[66])/12 + t[73] - t[74] + 5*t[75] - t[79] - 
       t[81]/2 + t[82]/2 - (20*t[83])/3 - (23*t[84])/12 - (4*t[85])/3 - 
       (7*t[86])/3 - (25*t[87])/4 - (25*t[88])/8 - (41*t[89])/8 + 8*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*((-11*t[2])/12 + 
       (7*t[3])/3 - (17*t[4])/12 - (3*t[5])/2 + (25*t[6])/12 + t[7] + 
       (31*t[8])/4 + (53*t[9])/12 - t[10]/24 - (29*t[11])/6 - (5*t[12])/24 - 
       (34*t[13])/9 - (329*t[14])/144 - (67*t[15])/108 + (4*t[20])/3 + 
       (8*t[28])/3 + (11*t[29])/3 - (3*t[30])/2 + (37*t[32])/6 - 
       (29*t[33])/6 + (4*t[34])/3 + 2*t[35] - t[44] + (13*t[48])/3 - 
       t[49]/24 + (5*t[50])/12 + t[51]/48 - (5*t[52])/12 + t[53]/24 + 
       (13*t[54])/6 + t[59]/2 - (9*t[60])/4 - (25*t[61])/3 + (67*t[62])/8 + 
       (143*t[63])/24 - (61*t[64])/12 + (31*t[65])/12 + (241*t[66])/12 + 
       t[73] - t[74] + 5*t[75] - t[79] - t[81]/2 + t[82]/2 - (20*t[83])/3 - 
       (23*t[84])/12 - (4*t[85])/3 - (7*t[86])/3 - (25*t[87])/4 - 
       (25*t[88])/8 - (41*t[89])/8 + 8*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((-11*t[2])/12 + (10*t[3])/3 - 
       (17*t[4])/12 + t[5]/2 + (31*t[6])/12 - t[7] + (23*t[8])/4 + 
       (17*t[9])/12 - t[10]/24 - (16*t[11])/3 - (5*t[12])/24 - (28*t[13])/9 - 
       (545*t[14])/144 - (67*t[15])/108 + (4*t[20])/3 + (8*t[28])/3 + 
       (11*t[29])/3 + t[30]/2 + (37*t[32])/6 - (29*t[33])/6 + (4*t[34])/3 + 
       2*t[35] - t[44] + (23*t[48])/6 - t[49]/24 - t[50]/12 + t[51]/48 + 
       t[52]/12 + t[53]/24 + (8*t[54])/3 + t[59]/2 - (13*t[60])/4 - 
       (28*t[61])/3 + (71*t[62])/8 + (107*t[63])/24 - (31*t[64])/12 + 
       (11*t[65])/12 + (245*t[66])/12 + t[73] - t[74] + 5*t[75] - t[79] - 
       t[81]/2 + t[82]/2 - (20*t[83])/3 - (35*t[84])/12 - (7*t[85])/3 - 
       (7*t[86])/3 - (21*t[87])/4 - (21*t[88])/8 - (37*t[89])/8 + 8*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-11*t[2])/12 + (10*t[3])/3 - (17*t[4])/12 + t[5]/2 + (31*t[6])/12 - 
       t[7] + (23*t[8])/4 + (17*t[9])/12 - t[10]/24 - (16*t[11])/3 - 
       (5*t[12])/24 - (28*t[13])/9 - (545*t[14])/144 - (67*t[15])/108 + 
       (4*t[20])/3 + (8*t[28])/3 + (11*t[29])/3 + t[30]/2 + (37*t[32])/6 - 
       (29*t[33])/6 + (4*t[34])/3 + 2*t[35] - t[44] + (23*t[48])/6 - 
       t[49]/24 - t[50]/12 + t[51]/48 + t[52]/12 + t[53]/24 + (8*t[54])/3 + 
       t[59]/2 - (13*t[60])/4 - (28*t[61])/3 + (71*t[62])/8 + 
       (107*t[63])/24 - (31*t[64])/12 + (11*t[65])/12 + (245*t[66])/12 + 
       t[73] - t[74] + 5*t[75] - t[79] - t[81]/2 + t[82]/2 - (20*t[83])/3 - 
       (35*t[84])/12 - (7*t[85])/3 - (7*t[86])/3 - (21*t[87])/4 - 
       (21*t[88])/8 - (37*t[89])/8 + 8*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*((-11*t[2])/12 + (7*t[3])/3 - 
       (17*t[4])/12 + (5*t[5])/2 + (49*t[6])/12 + t[7] + (31*t[8])/4 + 
       (77*t[9])/12 - t[10]/24 - (41*t[11])/6 - (53*t[12])/24 - 
       (28*t[13])/9 - (41*t[14])/144 - (211*t[15])/108 + (4*t[20])/3 + 
       (8*t[28])/3 + (11*t[29])/3 - (3*t[30])/2 + (37*t[32])/6 - 
       (29*t[33])/6 + (4*t[34])/3 + 2*t[35] - t[44] + (7*t[48])/3 - 
       t[49]/24 - (19*t[50])/12 + t[51]/48 + (19*t[52])/12 + t[53]/24 + 
       (25*t[54])/6 + t[59]/2 + (71*t[60])/4 - (37*t[61])/3 + (19*t[62])/8 - 
       (481*t[63])/24 - (85*t[64])/12 + (47*t[65])/12 + (17*t[66])/12 + 
       t[73] - t[74] + 5*t[75] - t[79] - t[81]/2 + t[82]/2 - (20*t[83])/3 + 
       (73*t[84])/12 + (8*t[85])/3 - (7*t[86])/3 - (41*t[87])/4 - 
       (41*t[88])/8 - (25*t[89])/8 + 8*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*((19*t[3])/4 + (151*t[5])/24 - 
       (25*t[6])/12 - (32*t[7])/3 - (37*t[8])/12 - (59*t[9])/8 + 
       (7*t[10])/12 + (3*t[11])/2 - (7*t[12])/24 + (9*t[13])/4 - 
       (697*t[14])/72 - (781*t[15])/432 + (11*t[28])/3 + (11*t[29])/4 + 
       t[30] - (25*t[44])/12 + (17*t[48])/3 - (47*t[50])/12 + (47*t[52])/12 - 
       (25*t[54])/12 + (16*t[60])/3 - (33*t[61])/2 + (119*t[62])/24 - 
       (199*t[63])/24 + (85*t[64])/12 - (259*t[65])/36 - (193*t[66])/36 + 
       t[73] + 5*t[75] - t[79] - (20*t[83])/3 - (9*t[84])/4 - (9*t[85])/4 - 
       (7*t[86])/3 - (16*t[87])/3 - (8*t[88])/3 - (3*t[89])/2 + 8*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((19*t[3])/4 + (151*t[5])/24 - (25*t[6])/12 - (32*t[7])/3 - 
       (37*t[8])/12 - (59*t[9])/8 + (7*t[10])/12 + (3*t[11])/2 - 
       (7*t[12])/24 + (9*t[13])/4 - (697*t[14])/72 - (781*t[15])/432 + 
       (11*t[28])/3 + (11*t[29])/4 + t[30] - (25*t[44])/12 + (17*t[48])/3 - 
       (47*t[50])/12 + (47*t[52])/12 - (25*t[54])/12 + (16*t[60])/3 - 
       (33*t[61])/2 + (119*t[62])/24 - (199*t[63])/24 + (85*t[64])/12 - 
       (259*t[65])/36 - (193*t[66])/36 + t[73] + 5*t[75] - t[79] - 
       (20*t[83])/3 - (9*t[84])/4 - (9*t[85])/4 - (7*t[86])/3 - 
       (16*t[87])/3 - (8*t[88])/3 - (3*t[89])/2 + 8*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((19*t[3])/4 + (151*t[5])/24 - (19*t[6])/12 - (32*t[7])/3 - 
       (37*t[8])/12 - (51*t[9])/8 + (7*t[10])/12 + t[11] - (7*t[12])/24 + 
       (31*t[13])/12 - (661*t[14])/72 - (997*t[15])/432 + (11*t[28])/3 + 
       (11*t[29])/4 - t[30] - (25*t[44])/12 + (43*t[48])/6 - (53*t[50])/12 + 
       (53*t[52])/12 - (19*t[54])/12 + (19*t[60])/3 - (35*t[61])/2 + 
       (107*t[62])/24 - (283*t[63])/24 + (79*t[64])/12 - (223*t[65])/36 - 
       (301*t[66])/36 + t[73] + 5*t[75] - t[79] - (20*t[83])/3 - 
       (5*t[84])/4 - (5*t[85])/4 - (7*t[86])/3 - (19*t[87])/3 - 
       (19*t[88])/6 - t[89] + 8*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((19*t[3])/4 + (151*t[5])/24 - 
       (19*t[6])/12 - (32*t[7])/3 - (37*t[8])/12 - (51*t[9])/8 + 
       (7*t[10])/12 + t[11] - (7*t[12])/24 + (31*t[13])/12 - (661*t[14])/72 - 
       (997*t[15])/432 + (11*t[28])/3 + (11*t[29])/4 - t[30] - 
       (25*t[44])/12 + (43*t[48])/6 - (53*t[50])/12 + (53*t[52])/12 - 
       (19*t[54])/12 + (19*t[60])/3 - (35*t[61])/2 + (107*t[62])/24 - 
       (283*t[63])/24 + (79*t[64])/12 - (223*t[65])/36 - (301*t[66])/36 + 
       t[73] + 5*t[75] - t[79] - (20*t[83])/3 - (5*t[84])/4 - (5*t[85])/4 - 
       (7*t[86])/3 - (19*t[87])/3 - (19*t[88])/6 - t[89] + 8*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*(-2*t[2] + (19*t[3])/4 + 
       (55*t[5])/24 + (5*t[6])/12 - (32*t[7])/3 - (37*t[8])/12 - 
       (19*t[9])/8 - (89*t[10])/12 - t[11] + (41*t[12])/24 + (13*t[13])/4 - 
       (805*t[14])/72 - (2149*t[15])/432 + (11*t[28])/3 + (11*t[29])/4 - 
       t[30] + 8*t[31] - (25*t[44])/12 + (31*t[48])/6 - (77*t[50])/12 + 
       (77*t[52])/12 + (5*t[54])/12 + 2*t[59] + (31*t[60])/3 - (47*t[61])/2 + 
       (155*t[62])/24 - (331*t[63])/24 + (55*t[64])/12 - (271*t[65])/36 - 
       (301*t[66])/36 + 8*t[69] + t[73] + 5*t[75] - t[79] - (20*t[83])/3 - 
       (5*t[84])/4 + (11*t[85])/4 - (7*t[86])/3 - (31*t[87])/3 - 
       (31*t[88])/6 + t[89] + 8*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*((19*t[3])/4 + (151*t[5])/24 + 
       (5*t[6])/12 - (32*t[7])/3 - (37*t[8])/12 - (19*t[9])/8 + 
       (7*t[10])/12 - t[11] - (7*t[12])/24 + (47*t[13])/12 - (517*t[14])/72 - 
       (1861*t[15])/432 + (11*t[28])/3 + (11*t[29])/4 - t[30] - 
       (25*t[44])/12 + (31*t[48])/6 - (77*t[50])/12 + (77*t[52])/12 + 
       (5*t[54])/12 + (55*t[60])/3 - (43*t[61])/2 + (59*t[62])/24 - 
       (619*t[63])/24 + (55*t[64])/12 - (247*t[65])/36 - (733*t[66])/36 + 
       t[73] + 5*t[75] - t[79] - (20*t[83])/3 + (11*t[84])/4 + (11*t[85])/4 - 
       (7*t[86])/3 - (31*t[87])/3 - (31*t[88])/6 + t[89] + 8*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Ot[u, v, w]*((-3*t[2])/4 + 
       (91*t[3])/16 + t[4] + (20*t[5])/3 + (13*t[6])/12 - (115*t[7])/8 + 
       (169*t[8])/24 - (311*t[9])/24 + t[10]/12 - (5*t[11])/3 - 
       (7*t[12])/24 + (29*t[13])/16 - (305*t[14])/24 - (689*t[15])/864 + 
       (11*t[28])/3 + (13*t[29])/12 + (25*t[30])/12 + (7*t[32])/6 + t[33]/4 - 
       (7*t[34])/6 - (5*t[44])/12 + (131*t[48])/24 + t[49]/2 - (37*t[50])/8 - 
       t[51]/4 + (37*t[52])/8 - t[53]/2 + t[54]/12 - t[59]/12 - 
       (73*t[60])/6 - (71*t[61])/6 + (67*t[62])/6 - t[63]/12 + 
       (139*t[64])/8 + (739*t[65])/72 + (69*t[66])/8 + t[73] - (4*t[74])/3 + 
       5*t[75] - t[79] + (2*t[81])/3 - (2*t[82])/3 - (20*t[83])/3 - 
       (109*t[84])/24 - (85*t[85])/24 - (7*t[86])/3 + (61*t[87])/8 + 
       (131*t[88])/48 + (4*t[89])/3 + (8*t[95])/3 + 8*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]^2*(t[1]/8 - (193*t[2])/24 + 
       (181*t[3])/32 + (71*t[4])/48 - (167*t[5])/96 - (2827*t[6])/384 + 
       (201*t[7])/16 - (1873*t[8])/96 + (263*t[9])/64 + (419*t[10])/96 + 
       (2027*t[11])/384 + (491*t[12])/96 - (403*t[13])/144 + 
       (5881*t[14])/1152 - (1343*t[15])/3456 - t[27]/2 + (7*t[28])/12 - 
       (7*t[29])/16 + (9*t[30])/4 + t[31]/2 - (49*t[32])/16 - t[33]/4 - 
       t[34]/4 - (3*t[35])/2 + (3*t[36])/4 + t[37] + t[38]/4 + (5*t[39])/4 + 
       (7*t[40])/16 + (5*t[41])/8 - (5*t[42])/8 + (25*t[44])/24 - 
       (9*t[45])/4 - (3*t[46])/8 + (13*t[47])/4 - (527*t[48])/128 + 
       (181*t[49])/96 + (69*t[50])/128 - (199*t[51])/192 - (245*t[52])/128 + 
       (11*t[53])/96 - (1283*t[54])/384 + (3*t[59])/4 - (991*t[60])/64 + 
       (567*t[61])/64 - (2065*t[62])/384 + (3659*t[63])/128 + 
       (241*t[64])/384 - (2045*t[65])/192 + (911*t[66])/64 - t[70] + t[71] - 
       (3*t[72])/2 - 3*t[73] - (3*t[74])/4 + (14*t[75])/3 + (7*t[76])/2 - 
       (31*t[78])/4 - (13*t[79])/12 + t[80] - (31*t[81])/24 + (61*t[82])/24 - 
       (11*t[83])/4 - (1915*t[84])/192 - (1079*t[85])/192 - (83*t[86])/12 - 
       (833*t[87])/192 - (2609*t[88])/384 - (1183*t[89])/384 + 2*t[95] + 
       4*t[96] + (3*t[97])/2 + 30*t[98] - 30*t[99] + 8*t[100]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (t[1]/4 - (13*t[2])/16 + (189*t[3])/64 + (37*t[4])/8 + (223*t[5])/96 + 
       (109*t[6])/64 - (1337*t[7])/96 + (817*t[8])/96 - (1033*t[9])/96 + 
       (67*t[10])/48 - (415*t[11])/192 - (113*t[12])/48 + (1669*t[13])/576 - 
       (4657*t[14])/576 - (4235*t[15])/3456 + (7*t[28])/6 + (65*t[29])/48 + 
       (19*t[30])/24 - t[31]/2 - (7*t[32])/24 + t[33]/2 - (53*t[34])/24 - 
       (3*t[35])/2 - t[36]/2 + t[38]/2 + (3*t[40])/4 - t[43]/4 - 
       (33*t[44])/16 + (7*t[45])/4 - (5*t[47])/4 + (361*t[48])/64 - 
       (7*t[49])/16 - (997*t[50])/192 + (15*t[51])/32 + (709*t[52])/192 + 
       (7*t[53])/16 + (133*t[54])/64 - (5*t[59])/48 - (223*t[60])/96 - 
       (517*t[61])/96 + (631*t[62])/64 - (843*t[63])/64 + (1061*t[64])/192 + 
       (14*t[65])/3 + (41*t[66])/72 - t[72]/2 + t[74]/3 + (5*t[75])/2 - 
       (7*t[76])/4 + t[77]/2 + (3*t[78])/2 - (5*t[80])/2 + t[81]/3 - 
       (5*t[82])/6 - (25*t[83])/6 + t[84]/6 - (47*t[85])/24 - (22*t[86])/3 + 
       (157*t[87])/48 + (49*t[88])/32 + (1283*t[89])/192 + t[95]/3 - 
       t[97]/4 - 12*t[98] + 12*t[99] + 8*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      (-t[1]/4 + (31*t[2])/12 + (75*t[3])/32 - (3*t[4])/4 - (53*t[5])/24 - 
       (131*t[6])/48 + (47*t[7])/16 - (625*t[8])/48 + (323*t[9])/48 - 
       (41*t[10])/12 - (125*t[11])/48 - (95*t[12])/48 - (199*t[13])/288 - 
       (7*t[14])/3 - (5341*t[15])/1728 - t[20] + t[28]/6 + (71*t[29])/24 + 
       (17*t[30])/24 - t[31]/2 - (7*t[32])/12 + (5*t[33])/8 - (11*t[34])/12 - 
       3*t[35] + t[38]/4 - (3*t[39])/4 + (5*t[40])/4 - t[41]/4 + t[42]/4 + 
       t[44]/12 + (7*t[45])/4 - (7*t[47])/4 - (8*t[48])/3 - (7*t[49])/4 + 
       (23*t[50])/8 + t[51] - (31*t[52])/8 + (3*t[53])/4 - (35*t[54])/48 - 
       (25*t[59])/24 + (215*t[60])/24 - (121*t[61])/12 + (73*t[62])/24 - 
       (16*t[63])/3 - (163*t[64])/16 - (193*t[65])/144 - (41*t[66])/48 - 
       t[69] - t[72]/2 + t[73]/2 + t[74]/6 + t[75]/2 - (15*t[76])/4 - 
       t[77]/2 + (7*t[78])/2 - t[79]/2 - (5*t[80])/2 + t[81]/6 + t[82]/3 - 
       (14*t[83])/3 + (211*t[84])/48 + (109*t[85])/48 + (25*t[86])/6 - 
       (97*t[87])/16 - (263*t[88])/96 + (31*t[89])/48 - t[95]/3 - 
       (3*t[96])/2 - (5*t[97])/4 - 24*t[98] + 24*t[99] + 8*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
      (t[1]/2 + (73*t[2])/8 - 30*t[3] + (27*t[4])/8 - (409*t[5])/32 + 
       (159*t[6])/4 - (15*t[7])/8 + (1409*t[8])/16 + (591*t[9])/32 + 
       (19*t[10])/4 - (281*t[11])/16 - (269*t[12])/32 - (1327*t[13])/144 + 
       (1463*t[14])/48 + (917*t[15])/64 - (3*t[18])/2 - (5*t[20])/2 + 
       (5*t[22])/2 + (11*t[28])/4 + (69*t[29])/16 - 4*t[30] - (3*t[31])/4 + 
       (13*t[32])/2 + (7*t[33])/2 + t[34]/2 - t[35]/2 - 5*t[36] - t[38]/4 - 
       (9*t[39])/4 + (13*t[40])/8 - t[41]/4 + t[42]/4 + t[43]/4 - 
       (193*t[44])/16 - (5*t[47])/2 + (345*t[48])/16 + (85*t[49])/16 - 
       (5*t[50])/2 - (33*t[51])/32 + 7*t[52] - (101*t[53])/16 + 
       (227*t[54])/8 + (3*t[59])/4 + (113*t[60])/8 + 21*t[61] + 
       (129*t[62])/32 - (465*t[63])/32 - (433*t[64])/8 + (865*t[65])/48 + 
       (497*t[66])/16 + t[69]/2 + (7*t[70])/2 - (7*t[71])/2 + (7*t[72])/4 - 
       (17*t[73])/4 + (9*t[74])/2 + (35*t[75])/4 - (47*t[76])/4 + 2*t[77] + 
       10*t[78] - (31*t[79])/4 + 5*t[80] - (21*t[81])/4 - (21*t[82])/4 - 
       (7*t[83])/4 + (133*t[84])/16 + (59*t[85])/16 + t[86]/4 - 12*t[87] + 
       4*t[88] + (317*t[89])/16 - 5*t[95] - 4*t[96] + t[97] - 42*t[98] + 
       37*t[99] + (33*t[100])/4) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]^2*((5*t[1])/4 + (173*t[2])/48 - (89*t[3])/16 - 
       (357*t[4])/16 + (251*t[5])/16 + (275*t[6])/16 - (51*t[7])/8 + 
       (1197*t[8])/16 - (341*t[10])/32 - (43*t[11])/4 + (337*t[12])/32 - 
       (1763*t[13])/144 + (1855*t[14])/192 + (455*t[15])/144 + t[19]/2 + 
       t[21]/2 + t[22]/2 - (3*t[23])/4 - t[24]/4 - 2*t[28] - (15*t[29])/4 - 
       (109*t[30])/8 + t[31]/4 + (71*t[32])/8 - (23*t[33])/8 - 5*t[34] + 
       5*t[35] + 5*t[36] + t[38]/2 + t[39]/2 - 2*t[40] + (3*t[41])/4 - 
       t[42]/2 + t[43]/2 - (17*t[44])/2 + (15*t[45])/4 - (3*t[46])/2 - 
       (3*t[47])/4 + (99*t[48])/8 - (285*t[49])/32 - (217*t[50])/16 + 
       (245*t[51])/64 + (257*t[52])/16 + (285*t[53])/32 + (151*t[54])/8 + 
       (37*t[59])/12 + (567*t[60])/16 + (129*t[61])/8 - (635*t[62])/32 - 
       (1821*t[63])/32 + (265*t[64])/16 + (97*t[65])/48 + (157*t[66])/16 + 
       (3*t[69])/2 + (3*t[70])/2 - (3*t[71])/2 + (5*t[72])/2 - (11*t[73])/4 + 
       (9*t[74])/4 + (3*t[75])/4 - (15*t[76])/2 - 3*t[77] + (5*t[78])/4 + 
       t[79]/2 + (3*t[80])/2 - (105*t[81])/8 + (55*t[82])/8 - (25*t[83])/4 + 
       (139*t[84])/16 - (9*t[85])/2 + (45*t[86])/2 + (9*t[87])/16 + 
       (329*t[88])/32 + (211*t[89])/32 - 5*t[95] - 2*t[96] + (7*t[97])/4 - 
       42*t[98] + 37*t[99] + (33*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*((-13*t[1])/12 - (53*t[2])/24 + 
       (427*t[3])/48 - (337*t[4])/24 + (1241*t[5])/288 + (3355*t[6])/288 - 
       (419*t[7])/48 + (4717*t[8])/144 - (3691*t[9])/288 - (305*t[10])/72 - 
       (5693*t[11])/288 + (1069*t[12])/288 - (1561*t[13])/144 - 
       (4019*t[14])/288 + (15379*t[15])/5184 + (5*t[20])/3 + (109*t[28])/36 + 
       (749*t[29])/144 + (233*t[30])/144 + (7*t[31])/6 + (1201*t[32])/144 - 
       (313*t[33])/48 + (44*t[34])/9 + (19*t[35])/3 + t[36] - (17*t[38])/12 - 
       (3*t[39])/4 - (5*t[40])/4 - t[41]/4 + t[42]/4 + t[43]/2 + 
       (275*t[44])/144 - (49*t[45])/12 + (29*t[47])/12 + (3307*t[48])/288 + 
       (29*t[49])/48 - (145*t[50])/96 - (97*t[51])/96 + (529*t[52])/96 - 
       (77*t[53])/48 + (2959*t[54])/288 + (143*t[59])/72 - (5653*t[60])/144 - 
       (3449*t[61])/144 + (7235*t[62])/288 + (13703*t[63])/288 + 
       (3185*t[64])/96 + (12463*t[65])/432 + (1039*t[66])/16 + (7*t[72])/6 + 
       (13*t[73])/12 - (29*t[74])/9 + (103*t[75])/12 + (25*t[76])/12 - 
       (3*t[77])/2 - (5*t[78])/6 - (13*t[79])/12 + (9*t[80])/2 - 
       (11*t[81])/36 + (89*t[82])/36 - (145*t[83])/36 - (1243*t[84])/144 - 
       (343*t[85])/144 + (229*t[86])/36 + (293*t[87])/48 + (743*t[88])/288 - 
       (3695*t[89])/288 + (13*t[95])/9 - (3*t[96])/2 - (5*t[97])/12 + 
       16*t[98] - 16*t[99] + (25*t[100])/3) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*((3*t[1])/8 + (49*t[2])/144 - 
       (647*t[3])/144 - (481*t[4])/144 + (721*t[5])/288 + (3403*t[6])/576 - 
       (673*t[7])/144 + (2035*t[8])/144 + (4*t[9])/9 + (1441*t[10])/288 - 
       (2471*t[11])/576 + (113*t[12])/48 - (157*t[13])/81 + (389*t[14])/54 + 
       (1697*t[15])/2592 + t[19] - t[20] - t[21] + t[22]/2 + t[23]/2 + 
       (5*t[24])/18 - (7*t[27])/9 - (161*t[29])/72 - (29*t[30])/18 + 
       t[31]/6 + (221*t[32])/144 + (7*t[33])/9 + (7*t[34])/12 - 
       (7*t[36])/12 - (19*t[37])/36 - (2*t[38])/9 + (19*t[39])/18 - 
       (383*t[40])/144 + (7*t[41])/36 + t[42]/18 + (5*t[43])/72 - 
       (319*t[44])/144 - (11*t[45])/36 - (7*t[46])/24 + t[47]/2 + 
       (299*t[48])/192 + (125*t[49])/96 - (833*t[50])/192 - (241*t[51])/576 + 
       (3955*t[52])/576 - (215*t[53])/288 + (1009*t[54])/192 + 
       (19*t[59])/72 + (2459*t[60])/288 - (341*t[61])/288 - 
       (5275*t[62])/576 - (5605*t[63])/576 - (427*t[64])/576 - 
       (6665*t[65])/864 - (5491*t[66])/864 + (13*t[70])/18 - (13*t[71])/18 + 
       (25*t[72])/18 - (7*t[73])/6 + t[74]/2 + (7*t[75])/6 + (19*t[76])/18 + 
       (31*t[77])/36 - (145*t[78])/36 + (8*t[80])/9 - (5*t[81])/12 + 
       (17*t[82])/36 + (13*t[83])/18 - (173*t[84])/288 - (641*t[85])/288 - 
       (5*t[86])/3 - (1993*t[87])/288 - (19*t[88])/192 - (839*t[89])/576 - 
       t[95]/6 + t[96]/9 + (5*t[97])/4 + (13*t[98])/3 - 12*t[99] + 
       (17*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*(t[1]/4 - (19*t[2])/8 + (19*t[3])/4 - 
       (37*t[4])/8 - (9*t[5])/16 - (5*t[6])/8 + (7*t[7])/8 - (53*t[8])/8 + 
       (19*t[9])/16 - (19*t[10])/16 - (5*t[11])/2 + (5*t[12])/2 + 
       (13*t[13])/12 - (373*t[14])/96 - (29*t[15])/32 - t[25]/2 + t[26]/2 - 
       t[29] - t[30] + t[31] - t[32] + t[33] - t[37] - t[38]/4 + t[39] - 
       (7*t[40])/4 + t[43]/4 + (3*t[44])/2 - (7*t[45])/4 + t[46]/2 + 
       (7*t[47])/4 - (27*t[48])/8 - (23*t[49])/16 + t[50]/8 + (3*t[51])/32 + 
       (11*t[52])/8 + (23*t[53])/16 - (3*t[54])/2 + (5*t[59])/8 - 
       (15*t[60])/4 - 10*t[61] + (33*t[62])/8 + (19*t[63])/8 + (5*t[64])/8 + 
       t[65] + (7*t[66])/2 - t[72] + 2*t[76] - (17*t[78])/4 + (9*t[80])/2 - 
       t[81]/4 + (5*t[82])/4 - (5*t[84])/2 + (11*t[85])/4 - t[86] - 
       (17*t[87])/4 - (17*t[88])/8 - t[89]/2 + t[97]/4 + 12*t[98] - 
       12*t[99] + 9*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*(t[1]/2 - (5*t[2])/8 + (3*t[3])/2 + (29*t[4])/8 + 
       (3*t[5])/4 - (85*t[6])/16 + 9*t[7] - (73*t[8])/4 + 2*t[9] + 
       (21*t[10])/16 + (97*t[11])/16 - (15*t[12])/16 - (55*t[13])/72 + 
       (169*t[14])/96 - (11*t[15])/24 - t[25] + t[26]/2 - t[29]/2 + t[30] + 
       t[31]/2 - t[34]/2 + t[37]/2 + (3*t[38])/4 + t[39]/2 + t[41]/4 - 
       t[42]/4 - t[43]/4 + (9*t[44])/4 - t[46]/2 - (63*t[48])/16 + 
       (43*t[49])/16 + (49*t[50])/16 - (23*t[51])/32 - (49*t[52])/16 - 
       (19*t[53])/16 - (83*t[54])/16 - t[59]/8 - (37*t[60])/8 + 
       (29*t[61])/8 - (59*t[62])/8 + (35*t[63])/8 - (173*t[64])/16 - 
       (85*t[65])/12 - (57*t[66])/8 - t[72]/2 + (9*t[76])/4 + t[77]/2 - 
       (19*t[78])/4 - 4*t[80] - t[82]/2 + t[83]/2 - 3*t[84] + t[85] - 
       3*t[86] - (7*t[87])/2 - (3*t[88])/2 - (45*t[89])/16 + (3*t[96])/2 + 
       (3*t[97])/4 + 12*t[98] - 12*t[99] + 9*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (t[1]/4 - (29*t[2])/8 + (17*t[3])/16 + (13*t[4])/4 + (187*t[5])/96 - 
       (49*t[6])/96 - (49*t[7])/16 - (55*t[8])/48 - (497*t[9])/96 + 
       (193*t[10])/48 - (253*t[11])/96 - (307*t[12])/96 - (47*t[13])/144 - 
       (239*t[14])/48 - (6643*t[15])/1728 + (17*t[28])/12 - (17*t[29])/48 + 
       (31*t[30])/48 - t[32]/48 + (9*t[33])/16 - (7*t[34])/6 + t[35] + 
       t[37]/2 + t[38]/2 - t[39]/2 + (5*t[40])/4 + t[41]/4 - t[42]/4 + 
       t[43]/4 + t[44]/48 + (7*t[45])/4 - (5*t[47])/4 + (203*t[48])/96 + 
       (5*t[49])/4 - (97*t[50])/32 + (3*t[51])/8 + (49*t[52])/32 - 
       (5*t[53])/4 + (155*t[54])/96 - (5*t[59])/24 + (43*t[60])/48 - 
       (331*t[61])/48 - (275*t[62])/96 - (599*t[63])/96 + (383*t[64])/32 - 
       (193*t[65])/144 - (55*t[66])/16 - t[72]/2 + t[73]/4 + t[74]/6 + 
       (5*t[75])/4 - (7*t[76])/4 + t[78] + t[79]/4 - 2*t[80] - (7*t[81])/12 + 
       (7*t[82])/12 - (77*t[83])/12 + (67*t[84])/48 - (29*t[85])/48 - 
       t[86]/12 + (77*t[87])/16 + (247*t[88])/96 + (617*t[89])/96 - t[95]/3 - 
       t[97]/4 - 12*t[98] + 13*t[99] + 9*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((7*t[1])/4 + (73*t[2])/144 - (3331*t[3])/144 + (2011*t[4])/144 - 
       (163*t[5])/8 + (26471*t[6])/1152 - (425*t[7])/9 + (19381*t[8])/288 - 
       (18211*t[9])/576 + (4807*t[10])/288 - (29167*t[11])/1152 - 
       (2495*t[12])/144 + (344*t[13])/81 - (29705*t[14])/3456 - 
       (26113*t[15])/10368 + t[19] + (5*t[20])/9 + t[21] + (7*t[23])/6 + 
       (53*t[24])/18 + (7*t[27])/9 + (14*t[28])/9 - (103*t[29])/12 + 
       (281*t[30])/24 - 3*t[31] - (26*t[32])/9 + (683*t[33])/72 - 
       (22*t[34])/9 - (9*t[35])/2 - 5*t[36] - (95*t[37])/36 + (65*t[38])/36 - 
       (77*t[39])/36 + (473*t[40])/144 + (73*t[41])/72 - (37*t[42])/72 + 
       (43*t[43])/72 + (2*t[44])/3 + (37*t[45])/3 + (43*t[46])/24 - 
       (155*t[47])/12 + (16841*t[48])/1152 + t[49]/96 - (4049*t[50])/384 + 
       (1099*t[51])/576 + (859*t[52])/128 - (451*t[53])/288 + 
       (9373*t[54])/384 - (5*t[59])/6 + (8585*t[60])/576 + (539*t[61])/64 + 
       (7117*t[62])/1152 - (96893*t[63])/1152 + (30727*t[64])/1152 + 
       (23681*t[65])/576 - (51763*t[66])/1728 + t[69] + (11*t[70])/18 - 
       (11*t[71])/18 - t[72]/6 + (37*t[73])/12 - (11*t[74])/12 - 
       (23*t[75])/4 - (119*t[76])/18 + (31*t[77])/9 + (301*t[78])/36 + 
       (23*t[79])/4 - (8*t[80])/3 + (563*t[81])/72 - (785*t[82])/72 + 
       (121*t[83])/18 + (9295*t[84])/576 + (1843*t[85])/576 - 
       (223*t[86])/36 + (29705*t[87])/576 + (12995*t[88])/384 + 
       (18833*t[89])/384 - (29*t[95])/6 - (71*t[96])/18 - (5*t[97])/4 - 
       (157*t[98])/3 + 54*t[99] + (55*t[100])/6) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((-41*t[2])/48 + (1443*t[3])/128 - (11*t[4])/12 + (1427*t[5])/192 - 
       (753*t[6])/256 - (889*t[7])/192 - (331*t[8])/96 - (4115*t[9])/384 - 
       (131*t[10])/48 - (1285*t[11])/768 - (17*t[12])/192 - 
       (3779*t[13])/3456 - (2285*t[14])/256 + (2467*t[15])/3456 - t[20]/12 + 
       t[24]/3 - t[27]/12 - t[28]/24 + (43*t[29])/32 + (31*t[30])/24 + 
       t[31]/4 - (39*t[32])/32 + (5*t[33])/12 - (11*t[34])/24 - t[35]/4 - 
       (3*t[36])/8 - t[37]/3 + t[38]/12 - (7*t[39])/12 + (43*t[40])/48 - 
       t[41]/6 + t[42]/6 + (5*t[43])/24 + (71*t[44])/192 - (19*t[45])/24 - 
       t[46]/4 + t[47]/8 + (311*t[48])/768 + (35*t[49])/48 - 
       (773*t[50])/768 - t[51]/6 + (151*t[52])/256 - (9*t[53])/16 - 
       (1907*t[54])/768 + t[59]/4 - (5725*t[60])/384 - (1319*t[61])/128 + 
       (8609*t[62])/768 + (8791*t[63])/768 + (297*t[64])/256 + 
       (1663*t[65])/1152 + (18749*t[66])/1152 - t[69]/4 - t[70]/3 + t[71]/3 - 
       t[72]/12 - (3*t[74])/8 + t[75]/4 - t[76]/3 - (5*t[77])/12 - 
       (47*t[78])/24 + t[79] + (13*t[80])/6 - (33*t[81])/16 + 
       (131*t[82])/48 - (13*t[83])/6 - (1897*t[84])/384 - (311*t[85])/128 - 
       (23*t[86])/12 + (305*t[87])/384 - (325*t[88])/256 - (3155*t[89])/768 + 
       t[95] + (7*t[96])/12 - t[97]/8 + t[98] - t[99] + (75*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[u, v, w]*(t[1]/2 + t[2] + 
       (35*t[3])/16 + 4*t[4] - (47*t[5])/24 - (145*t[6])/24 + (23*t[7])/8 - 
       (269*t[8])/24 + t[9]/6 + (5*t[10])/6 + (41*t[11])/24 - (11*t[12])/3 + 
       (59*t[13])/48 - (101*t[14])/24 - (2423*t[15])/864 - t[20] - t[28]/3 + 
       (7*t[29])/12 + (7*t[30])/12 - t[31] + (2*t[32])/3 - t[33]/4 - 
       (19*t[34])/6 - 4*t[35] + t[38] + (3*t[40])/2 + (7*t[44])/12 + 
       (7*t[45])/2 - (5*t[47])/2 - (41*t[48])/12 - 2*t[49] + 2*t[50] + 
       (3*t[51])/2 - 5*t[52] + 2*t[53] - (61*t[54])/24 - (5*t[59])/6 + 
       (67*t[60])/12 + (35*t[61])/12 - (83*t[62])/24 - (263*t[63])/24 - 
       (23*t[64])/4 - (311*t[65])/72 - (191*t[66])/24 - t[69] - t[72] - 
       t[73] + (2*t[74])/3 - t[75] - (7*t[76])/2 + 2*t[78] + t[79] - 
       3*t[80] - (5*t[81])/6 - t[82]/6 - (7*t[83])/6 + (77*t[84])/24 - 
       (31*t[85])/24 - (7*t[86])/3 + (35*t[87])/8 + (125*t[88])/48 + 
       (113*t[89])/24 - (4*t[95])/3 - t[97]/2 - 24*t[98] + 24*t[99] + 
       (19*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((155*t[2])/48 + (439*t[3])/48 + 3*t[4] + 
       (59*t[5])/12 - (1955*t[6])/384 - (301*t[7])/48 - (619*t[8])/96 - 
       (467*t[9])/64 - (41*t[10])/24 + (2131*t[11])/384 - (149*t[12])/32 + 
       (2855*t[13])/432 - (12965*t[14])/1152 + (845*t[15])/3456 - t[20]/6 - 
       (2*t[24])/3 - t[27]/6 + (13*t[28])/6 + (23*t[29])/24 + (3*t[30])/4 - 
       t[31] - (25*t[32])/48 - t[33]/3 - (7*t[34])/6 + t[35]/2 + t[36]/4 - 
       (11*t[37])/12 - t[38]/12 - (5*t[39])/12 + (53*t[40])/48 - 
       (11*t[41])/24 + (11*t[42])/24 + t[43]/24 - (19*t[44])/12 + t[45] + 
       t[46]/8 - (3*t[47])/4 + (835*t[48])/384 - (23*t[49])/24 + 
       (151*t[50])/384 + (19*t[51])/32 - (535*t[52])/384 + (7*t[53])/24 - 
       (745*t[54])/128 + t[59]/12 - (395*t[60])/64 - (1643*t[61])/192 + 
       (377*t[62])/128 - (971*t[63])/384 - (535*t[64])/384 + 
       (3037*t[65])/576 - (3845*t[66])/576 - t[70]/6 + t[71]/6 + t[73]/4 - 
       t[74]/2 + (13*t[75])/4 - (17*t[76])/6 - (5*t[77])/12 + (17*t[78])/6 - 
       (5*t[79])/2 + t[80] + (11*t[81])/24 - (35*t[82])/24 - t[83]/12 + 
       (3*t[84])/64 - (451*t[85])/192 + (31*t[86])/6 + (343*t[87])/192 + 
       (23*t[88])/384 - (89*t[89])/128 + t[95]/2 - (5*t[96])/6 - t[97] - 
       16*t[98] + 17*t[99] + 10*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      M1[v, w, u]*(t[1]/2 - (5*t[2])/4 + (77*t[3])/16 + (17*t[4])/4 + 
       t[5]/3 - (179*t[6])/24 + t[7]/8 - (319*t[8])/24 - (157*t[9])/24 + 
       (13*t[10])/24 + (79*t[11])/24 - (43*t[12])/12 + (61*t[13])/48 - 
       (383*t[14])/48 - (2155*t[15])/864 - (5*t[28])/3 - (19*t[29])/12 + 
       (11*t[30])/12 - t[31] - t[32]/6 - t[33]/4 - (23*t[34])/6 - 2*t[35] + 
       t[38] + (3*t[40])/2 + (8*t[44])/3 + (7*t[45])/2 - (5*t[47])/2 - 
       (31*t[48])/12 - (15*t[49])/8 + (3*t[50])/2 + (23*t[51])/16 - 
       (9*t[52])/2 + (15*t[53])/8 - (101*t[54])/24 - t[59]/6 - (17*t[60])/6 + 
       (43*t[61])/12 - (91*t[62])/24 - (175*t[63])/24 - (5*t[64])/4 - 
       (61*t[65])/72 - (125*t[66])/24 - t[72] - t[73] + t[74]/3 - t[75] - 
       (7*t[76])/2 + 2*t[78] + t[79] - 3*t[80] - (2*t[81])/3 - t[82]/3 + 
       (2*t[83])/3 + (31*t[84])/24 - (71*t[85])/24 - (5*t[86])/3 + 
       (63*t[87])/8 + (241*t[88])/48 + (19*t[89])/6 - (2*t[95])/3 - t[97]/2 - 
       24*t[98] + 24*t[99] + 10*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3*(-t[1] + (59*t[2])/48 - (1061*t[3])/192 - 
       (61*t[4])/24 - (2485*t[5])/384 + (1297*t[6])/192 - (29*t[7])/48 - 
       (857*t[8])/192 + (4451*t[9])/384 - (159*t[10])/64 - (105*t[11])/8 - 
       (931*t[12])/384 - (1583*t[13])/576 + (6607*t[14])/1152 + 
       (89*t[15])/2304 + t[20]/12 - t[23]/2 - t[24]/2 + (5*t[28])/16 + 
       (75*t[29])/64 + t[30]/48 + (3*t[31])/8 - (31*t[32])/24 + 
       (17*t[33])/12 + (17*t[34])/12 - (3*t[36])/4 - t[38]/2 - (3*t[39])/2 + 
       (19*t[40])/16 - t[41]/2 + t[42]/2 - (3*t[43])/8 - (121*t[44])/64 - 
       t[47] - (49*t[48])/96 - (53*t[49])/48 + (165*t[50])/64 + 
       (29*t[51])/96 - (101*t[52])/64 - (43*t[53])/48 + (1157*t[54])/192 + 
       (7*t[59])/24 + (241*t[60])/24 - (391*t[61])/24 + (8461*t[62])/384 + 
       (3179*t[63])/384 - (129*t[64])/4 + (4153*t[65])/576 + 
       (9215*t[66])/576 + t[69]/2 - t[70]/4 + t[71]/4 - t[72]/8 - 
       (3*t[73])/16 + (7*t[74])/6 + (15*t[75])/16 - (35*t[76])/8 - t[77]/4 + 
       (23*t[78])/4 + (7*t[79])/16 - (7*t[80])/2 + (5*t[81])/3 + t[82]/3 - 
       (47*t[83])/16 + (1709*t[84])/192 + (575*t[85])/64 - (165*t[86])/16 - 
       (583*t[87])/48 - (139*t[88])/32 + (113*t[89])/24 - t[95]/3 - 3*t[96] - 
       2*t[97] - 24*t[98] + 24*t[99] + (21*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      (t[1]/2 + (11*t[2])/16 + (307*t[3])/48 + (205*t[4])/192 - (5*t[5])/3 - 
       (395*t[6])/48 + (1237*t[7])/192 - (1111*t[8])/96 + (251*t[9])/96 - 
       (287*t[10])/128 + (171*t[11])/64 - (841*t[12])/384 - (151*t[13])/576 - 
       (17695*t[14])/2304 - (5959*t[15])/1152 - (13*t[20])/24 - t[23]/8 - 
       t[24]/8 - t[28]/2 + (29*t[29])/16 - (7*t[30])/96 - (7*t[31])/8 + 
       (47*t[32])/96 - (47*t[33])/96 - (77*t[34])/24 - 2*t[35] + 
       (3*t[36])/4 + t[38] + (3*t[40])/2 + (3*t[43])/8 + t[44] + 
       (7*t[45])/2 - (5*t[47])/2 - (725*t[48])/192 - (907*t[49])/384 + 
       (79*t[50])/32 + (1291*t[51])/768 - (175*t[52])/32 + (907*t[53])/384 - 
       (697*t[54])/192 - (7*t[59])/8 + (1001*t[60])/192 - (131*t[61])/48 - 
       (1373*t[62])/128 - (5665*t[63])/384 + (113*t[64])/32 - 
       (199*t[65])/64 - (4897*t[66])/576 - t[69]/2 - t[72] + (7*t[73])/16 - 
       (7*t[74])/12 - (15*t[75])/16 - (7*t[76])/2 - (3*t[77])/4 + 
       (5*t[78])/4 - t[79]/2 - (3*t[80])/2 - (125*t[81])/96 + (29*t[82])/96 + 
       t[83]/16 + (425*t[84])/192 - (45*t[85])/32 + 12*t[86] + 
       (605*t[87])/192 + (447*t[88])/128 + (785*t[89])/384 - t[95]/3 - 
       t[97]/2 - 24*t[98] + 24*t[99] + (21*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((-19*t[2])/12 - (481*t[3])/48 - (79*t[4])/24 - (371*t[5])/48 + 
       (71*t[6])/48 + (31*t[7])/12 - t[8]/3 + (341*t[9])/48 + t[10]/48 - 
       (307*t[11])/48 - t[12]/4 - (509*t[13])/432 + (73*t[14])/288 - 
       (271*t[15])/108 + t[20]/2 - t[24]/3 + t[27]/3 - t[28]/2 + t[29]/12 - 
       (5*t[30])/3 + (19*t[32])/12 - (5*t[33])/6 + (3*t[35])/2 + t[36] + 
       t[37]/3 + t[38]/6 - t[39]/6 - t[40]/12 + t[41]/6 - t[42]/6 - 
       t[43]/12 + (53*t[44])/24 + (7*t[45])/6 + t[46]/2 - t[47]/2 + 
       (13*t[48])/16 - (41*t[49])/16 + (25*t[50])/16 + (95*t[51])/96 - 
       (91*t[52])/48 + (91*t[53])/48 + (63*t[54])/16 - t[59]/6 + 
       (137*t[60])/12 - (151*t[61])/24 - (137*t[62])/48 - (863*t[63])/48 + 
       (487*t[64])/48 + (217*t[65])/36 - (35*t[66])/18 + t[69]/2 + t[70]/3 - 
       t[71]/3 - (2*t[72])/3 + 2*t[73] - (3*t[75])/2 - t[76]/6 + t[77]/6 + 
       (10*t[78])/3 - (7*t[80])/6 + (7*t[81])/4 - (23*t[82])/12 - 
       (5*t[83])/12 + (35*t[84])/6 + (113*t[85])/24 + 6*t[86] + 
       (121*t[87])/24 + (67*t[88])/16 + (43*t[89])/6 - t[95] - (4*t[96])/3 - 
       t[97]/2 - 4*t[98] + (43*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]^2*((-73*t[2])/12 - (455*t[3])/48 - (49*t[4])/8 - 
       (43*t[5])/16 + (61*t[6])/16 - (83*t[7])/12 + (38*t[8])/3 - 
       (63*t[9])/16 + (277*t[10])/48 - (931*t[11])/48 - (11*t[12])/24 - 
       (4027*t[13])/432 - (1783*t[14])/288 - (184*t[15])/27 + t[20]/3 + 
       t[24]/3 + t[27]/3 + t[28]/2 + t[29]/12 + t[30] + (17*t[32])/12 + 
       t[33]/6 + (4*t[34])/3 + (3*t[35])/2 - t[36] + (4*t[37])/3 + t[38]/6 - 
       (7*t[39])/6 + (2*t[40])/3 + (2*t[41])/3 - (2*t[42])/3 - t[43]/12 - 
       (5*t[44])/8 + (3*t[45])/2 - t[47]/2 + (93*t[48])/16 - (67*t[49])/48 - 
       (125*t[50])/48 + (33*t[51])/32 + (125*t[52])/48 + (35*t[53])/48 + 
       (469*t[54])/48 - (7*t[59])/6 + (89*t[60])/12 - (505*t[61])/24 + 
       (431*t[62])/48 - (551*t[63])/48 + (509*t[64])/16 + (23*t[65])/3 + 
       (283*t[66])/18 + t[70]/3 - t[71]/3 + t[73] + t[75]/2 - (5*t[76])/6 + 
       (5*t[77])/6 + (10*t[78])/3 + (11*t[79])/2 - (7*t[80])/2 + 
       (13*t[81])/12 + (5*t[82])/12 - (17*t[83])/3 + 5*t[84] + 
       (85*t[85])/24 - (7*t[86])/2 + (109*t[87])/24 + (63*t[88])/16 + 
       (45*t[89])/4 - t[95] - (4*t[96])/3 - t[97]/2 - 4*t[98] + 
       (43*t[100])/4) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*
      ((-35*t[2])/6 + (107*t[3])/24 - (17*t[4])/2 + (111*t[5])/8 - 
       (75*t[6])/8 + (199*t[7])/12 - (277*t[8])/12 - (27*t[9])/8 + 
       (29*t[10])/6 + (103*t[11])/24 + (79*t[12])/24 - (629*t[13])/216 - 
       (101*t[14])/36 - (13*t[15])/27 - (2*t[20])/3 - (2*t[24])/3 - 
       (2*t[27])/3 + t[28] + (5*t[29])/6 + 3*t[30] - t[31] - (11*t[32])/6 - 
       (4*t[33])/3 + (4*t[34])/3 + (4*t[37])/3 - t[38]/3 + (4*t[39])/3 - 
       t[40]/3 + (2*t[41])/3 - (2*t[42])/3 - t[43]/3 + (13*t[44])/4 - 
       3*t[45] + 4*t[47] - (17*t[48])/8 + (19*t[49])/6 + (41*t[50])/24 - 
       (7*t[51])/4 - (41*t[52])/24 - (11*t[53])/6 - (151*t[54])/24 - 
       t[59]/6 - (125*t[60])/6 + (37*t[61])/12 - (34*t[62])/3 + 
       (215*t[63])/6 + (215*t[64])/8 - (13*t[65])/2 + (23*t[66])/9 - 
       (2*t[70])/3 + (2*t[71])/3 - t[74] + t[75] + (17*t[76])/3 + t[77]/3 - 
       (20*t[78])/3 + 2*t[79] + 3*t[80] + (10*t[81])/3 + (8*t[82])/3 - 
       (20*t[83])/3 - (33*t[84])/4 - (61*t[85])/12 - 4*t[86] - 
       (43*t[87])/12 - (41*t[88])/8 - (31*t[89])/4 + 2*t[95] + (8*t[96])/3 + 
       t[97] + 32*t[98] - 38*t[99] + 11*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      ((-43*t[2])/12 + (343*t[3])/24 + (7*t[4])/12 + (179*t[5])/24 - 
       (131*t[6])/24 - (107*t[7])/12 - (97*t[8])/12 - (227*t[9])/24 + 
       (101*t[10])/24 + (103*t[11])/24 + (13*t[12])/4 + (665*t[13])/216 - 
       (685*t[14])/144 - (343*t[15])/108 + (2*t[24])/3 - (2*t[27])/3 - 
       (13*t[29])/6 + t[30]/3 - (25*t[32])/6 + (5*t[33])/3 + t[37]/3 - 
       t[38]/3 + (7*t[39])/3 - (7*t[40])/3 + t[41]/6 - t[42]/6 + t[43]/6 + 
       (13*t[44])/12 - (7*t[45])/3 + 2*t[47] - (9*t[48])/8 + (17*t[49])/8 - 
       (61*t[50])/8 - (59*t[51])/48 + (199*t[52])/24 - (19*t[53])/24 - 
       (35*t[54])/8 + (5*t[59])/6 - (31*t[60])/3 - (113*t[61])/12 - 
       (37*t[62])/24 + (53*t[63])/24 + (395*t[64])/24 - (151*t[65])/18 - 
       (91*t[66])/9 - (2*t[70])/3 + (2*t[71])/3 + (4*t[72])/3 - t[74] + 
       (19*t[76])/3 - t[77]/3 - (26*t[78])/3 + (4*t[80])/3 + (5*t[81])/2 - 
       t[82]/6 + (4*t[83])/3 - (49*t[84])/6 - (47*t[85])/12 - 2*t[86] - 
       (67*t[87])/12 - (49*t[88])/8 - (55*t[89])/12 + 2*t[95] + (8*t[96])/3 + 
       t[97] + 32*t[98] - 38*t[99] + 11*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((11*t[1])/24 + (347*t[2])/48 - (683*t[3])/16 - (1249*t[4])/96 - 
       (157*t[5])/16 + (87*t[6])/4 - (689*t[7])/96 + (1223*t[8])/32 - 
       (133*t[9])/96 - (4183*t[10])/192 - (787*t[11])/32 - (1237*t[12])/192 - 
       (25169*t[13])/1728 - (15457*t[14])/1152 + (2785*t[15])/864 - 
       (5*t[16])/12 + (7*t[17])/6 + t[19]/2 + (9*t[20])/2 - (3*t[21])/2 - 
       (15*t[22])/2 + (17*t[23])/6 - (3*t[24])/2 - (14*t[25])/3 - 
       (7*t[26])/4 - t[27]/3 - (3*t[28])/2 - (5*t[29])/6 + (25*t[30])/12 + 
       (3*t[31])/2 + (91*t[32])/6 - t[33]/4 - (21*t[34])/4 + t[35]/2 + 
       (13*t[36])/3 + (31*t[37])/12 + (25*t[38])/6 - (49*t[39])/4 + 
       (173*t[40])/24 - (5*t[41])/12 + (5*t[42])/12 + (41*t[43])/96 + 
       (15*t[44])/8 + (841*t[45])/48 + (5*t[46])/4 - (413*t[47])/24 + 
       (423*t[48])/32 - (521*t[49])/64 + (1141*t[50])/96 + (3257*t[51])/384 - 
       (1277*t[52])/96 + (1963*t[53])/192 + (1591*t[54])/48 - t[55]/12 - 
       (3*t[56])/4 - (3*t[57])/2 - (11*t[58])/12 - (41*t[59])/8 + 
       (847*t[60])/48 - (99*t[61])/8 + (2509*t[62])/96 - (1107*t[63])/32 - 
       (227*t[64])/16 + (3367*t[65])/72 + (8177*t[66])/144 + (3*t[69])/2 + 
       (7*t[70])/2 - (7*t[71])/2 - (5*t[72])/6 + 3*t[73] + t[74]/12 - 
       2*t[75] - t[76]/6 - (5*t[77])/3 + (85*t[78])/3 - 2*t[79] - 
       (73*t[80])/6 - (175*t[81])/24 - (47*t[82])/8 + (119*t[83])/12 + 
       (337*t[84])/16 + (21*t[85])/2 - (5*t[86])/2 + (991*t[87])/24 + 
       (1867*t[88])/48 + (765*t[89])/32 + t[91]/24 - t[93]/2 + t[95]/2 - 
       (23*t[96])/3 - (15*t[97])/4 - 74*t[98] + 82*t[99] + 11*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((5*t[1])/12 - (113*t[2])/48 + (1019*t[3])/192 + 4*t[4] - 
       (65*t[5])/48 - (675*t[6])/64 + (267*t[7])/32 - (1813*t[8])/96 - 
       (65*t[9])/12 - (13*t[10])/48 + (1549*t[11])/192 - (427*t[12])/96 - 
       (659*t[13])/576 - (4853*t[14])/576 + (12851*t[15])/3456 - t[20] + 
       (3*t[28])/4 + (7*t[29])/6 + (119*t[30])/48 - (11*t[31])/6 + 
       (47*t[32])/16 - (91*t[33])/48 - (89*t[34])/24 - (5*t[35])/3 + 
       (5*t[38])/6 + (9*t[40])/4 + (11*t[44])/24 + (35*t[45])/12 - 
       (25*t[47])/12 - (1249*t[48])/192 - (19*t[49])/12 + (1499*t[50])/192 + 
       (29*t[51])/24 - (1979*t[52])/192 + (19*t[53])/12 - (563*t[54])/64 - 
       t[59]/48 - (1307*t[60])/96 + (1055*t[61])/96 - (1111*t[62])/192 + 
       (2615*t[63])/192 - (877*t[64])/64 + (49*t[65])/36 + (401*t[66])/72 + 
       t[69] - t[70] + t[71] - (11*t[72])/6 - (7*t[73])/12 - t[74] + 
       (9*t[75])/4 - (59*t[76])/12 + (5*t[78])/3 - (5*t[79])/12 - 
       (5*t[80])/2 - (37*t[81])/12 - (5*t[82])/12 - (85*t[83])/12 - t[84]/8 - 
       (95*t[85])/24 - (65*t[86])/12 + (275*t[87])/48 + (289*t[88])/96 - 
       (553*t[89])/192 - (5*t[97])/12 - 20*t[98] + 20*t[99] + 
       (23*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v]*((-185*t[2])/96 + (7945*t[3])/288 + 
       (205*t[4])/288 + (16639*t[5])/576 - (423*t[6])/32 - (5935*t[7])/144 - 
       (43*t[8])/18 - (34211*t[9])/576 - (593*t[10])/576 + (3209*t[11])/288 + 
       t[12]/32 + (4481*t[13])/864 - (152569*t[14])/3456 - 
       (6125*t[15])/10368 + (8*t[20])/9 + (5*t[23])/12 + (5*t[24])/12 + 
       (331*t[28])/72 + (725*t[29])/288 + (229*t[30])/48 + (379*t[32])/144 - 
       (419*t[33])/144 - (89*t[34])/18 + (7*t[35])/4 - (5*t[40])/8 + 
       (1211*t[44])/288 + (453*t[48])/32 + (389*t[49])/576 - (973*t[50])/96 - 
       (389*t[51])/1152 + (973*t[52])/96 - (389*t[53])/576 - (130*t[54])/9 + 
       (11*t[59])/144 - (16379*t[60])/288 - (3155*t[61])/144 + 
       (2153*t[62])/144 + (3739*t[63])/144 + (2313*t[64])/32 + 
       (8431*t[65])/432 + (6409*t[66])/432 + t[69]/2 + (5*t[72])/12 + 
       3*t[73] - (73*t[74])/24 + (21*t[75])/2 + (5*t[76])/4 - (25*t[79])/12 + 
       (11*t[81])/16 - (11*t[82])/16 - (377*t[83])/36 - (3049*t[84])/144 - 
       (5737*t[85])/288 - (19*t[86])/36 + (6065*t[87])/288 + 
       (4817*t[88])/576 - (1103*t[89])/64 + (16*t[95])/3 + (35*t[100])/3) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*((-3*t[2])/4 - (5*t[3])/2 + 
       (9*t[4])/2 - (57*t[5])/8 - (91*t[6])/16 + 8*t[7] - 15*t[8] + 10*t[9] + 
       (27*t[10])/4 + (71*t[11])/16 - (27*t[12])/8 - (5*t[13])/4 + 
       (55*t[14])/16 - (19*t[15])/36 + (5*t[29])/2 + (7*t[30])/2 + t[31] + 
       2*t[32] - 2*t[33] + t[35] - t[36] + t[43]/2 + (7*t[44])/4 + t[46]/2 - 
       (33*t[48])/16 + (9*t[49])/4 + (115*t[50])/16 - (3*t[51])/4 - 
       (115*t[52])/16 - (9*t[53])/4 - (95*t[54])/16 - (15*t[60])/8 - 
       (3*t[61])/8 - (115*t[62])/16 + (171*t[63])/16 - (205*t[64])/16 - 
       (119*t[65])/24 - (47*t[66])/8 - t[72] + (3*t[76])/2 - 2*t[79] + 
       t[81] - 2*t[82] + 5*t[83] - (17*t[84])/8 + (7*t[85])/8 + 2*t[86] - 
       (7*t[87])/8 - (7*t[88])/16 - (49*t[89])/16 + 12*t[100]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*((3*t[2])/4 + (27*t[3])/8 - 
       (9*t[4])/2 + (79*t[5])/8 - (31*t[6])/16 - (17*t[7])/4 - (29*t[8])/4 - 
       (27*t[9])/4 - (11*t[10])/4 - (65*t[11])/16 + t[12]/8 - t[13]/8 - 
       (89*t[14])/16 - (7*t[15])/144 + t[29]/2 - t[30]/2 + t[31]/2 - t[35] + 
       t[36] - (3*t[40])/4 + t[44]/4 - t[46]/2 + (15*t[48])/16 - 
       (7*t[49])/4 - (29*t[50])/16 + t[51]/2 + (29*t[52])/16 + (7*t[53])/4 - 
       (23*t[54])/16 + (29*t[60])/8 - (81*t[61])/8 + (229*t[62])/16 - 
       (37*t[63])/16 - (65*t[64])/16 - (65*t[65])/24 + (27*t[66])/8 - 
       t[72]/2 + (3*t[76])/2 + 2*t[79] - t[81] + 4*t[82] - 4*t[83] - 
       (3*t[84])/8 - (7*t[85])/8 - 12*t[86] - (9*t[87])/8 - (9*t[88])/16 - 
       (41*t[89])/16 + 12*t[100]) + B10[u, v, w]*HPL[{1}, 1 - w]*
      (-t[3] - t[5]/2 - t[7] - 2*t[8] - (3*t[9])/2 + t[10] + t[11] + 
       t[12]/2 + t[14]/6 + (5*t[15])/12 - t[60] + 2*t[61] + t[62] + 2*t[63] - 
       t[64] - t[65]/3 - 2*t[66] - 4*t[86] - t[89] + 12*t[100]) + 
     B10[w, u, v]*HPL[{1}, 1 - u]*(t[3] - 4*t[4] + t[5]/2 - t[6] - t[7] + 
       2*t[8] - t[9]/2 + 2*t[10] - 6*t[11] + t[12]/2 - (23*t[13])/6 - 
       (7*t[14])/3 + t[15]/4 - t[49] + t[51]/2 + t[53] + 2*t[54] - 6*t[60] - 
       6*t[61] + 2*t[62] + 6*t[63] + 3*t[64] + (5*t[65])/3 + 11*t[66] - 
       2*t[81] + 2*t[82] + 2*t[83] - t[84] - 2*t[85] + 4*t[87] + 2*t[88] - 
       t[89] + 12*t[100]) + D26[u, v, w]*(6*t[2] + (7*t[3])/2 - t[4] + 
       (9*t[5])/2 - 2*t[6] + 5*t[7] - 11*t[8] - t[9]/2 + t[10]/2 - 2*t[11] - 
       t[12] - (13*t[13])/6 - (19*t[14])/4 - (7*t[15])/3 + 4*t[29] - 
       2*t[44] - t[48] + t[49]/2 + t[50] - t[51]/4 - t[52] - t[53]/2 - 
       2*t[54] - 2*t[59] - t[60] - 15*t[61] - t[62]/2 - (11*t[63])/2 - 
       t[64]/2 - (13*t[65])/3 + 5*t[66] - t[84] + t[85] - 4*t[87] - 2*t[88] - 
       t[89]/2 + 12*t[100]) + D26[w, v, u]*(-4*t[2] + t[3]/2 - 4*t[5] - 
       2*t[6] - 2*t[7] + 10*t[9] + 2*t[10] - t[11] + t[13]/6 + 4*t[14] + 
       (5*t[15])/4 - t[33] - 3*t[34] - 4*t[44] - t[48] + t[50] - t[52] - 
       t[54] + 2*t[60] - 4*t[61] + 2*t[62] + 2*t[63] - 8*t[64] + 2*t[65] + 
       (8*t[66])/3 - 4*t[70] + 4*t[71] - 5*t[87] - (5*t[88])/2 + 2*t[89] + 
       12*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-495*t[2])/4 + (3575*t[3])/8 - (415*t[4])/4 + (1953*t[5])/8 - 
       (4073*t[6])/16 + (2695*t[7])/4 - (1565*t[8])/2 + (273*t[9])/4 - 
       (1773*t[10])/8 + (3001*t[11])/16 + (419*t[12])/2 + (2599*t[13])/72 - 
       (13*t[14])/2 + (4679*t[15])/144 - 15*t[17] - 12*t[18] - 12*t[19] - 
       92*t[20] - 12*t[21] + 72*t[22] + 12*t[23] - 68*t[24] - 8*t[27] + 
       (17*t[29])/2 - 18*t[30] - 73*t[32] - 31*t[33] + 28*t[34] + 30*t[36] + 
       7*t[37] - 10*t[38] + 22*t[39] + (19*t[40])/2 - (15*t[41])/2 + 
       (3*t[42])/2 + (43*t[43])/2 + (267*t[44])/4 - 339*t[45] - 6*t[46] + 
       402*t[47] - (3003*t[48])/16 + (21*t[49])/8 + (913*t[50])/16 - 
       (197*t[51])/16 - (1201*t[52])/16 + (299*t[53])/8 - (4813*t[54])/16 + 
       6*t[56] + 22*t[59] - (3385*t[60])/8 - (2733*t[61])/8 + 
       (1317*t[62])/16 + (5595*t[63])/16 - (1645*t[64])/16 + (337*t[65])/24 + 
       (14971*t[66])/24 + 18*t[68] - 2*t[70] + 2*t[71] - 66*t[73] - 
       165*t[74] + 66*t[75] - 31*t[76] - 23*t[77] + 37*t[78] - 180*t[79] + 
       198*t[80] - (61*t[81])/2 + (241*t[82])/2 + 34*t[83] - (1803*t[84])/8 - 
       (25*t[85])/8 + 198*t[86] - (1575*t[87])/8 - (3559*t[88])/16 - 
       (2723*t[89])/16 + t[91] - 6*t[93] + 66*t[95] + 86*t[96] + 30*t[97] + 
       1320*t[98] - 1692*t[99] + 12*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*((-325*t[2])/4 - (7*t[3])/4 + 
       (1525*t[4])/4 + (2215*t[5])/8 - (4483*t[6])/16 - (445*t[7])/2 - 
       (2017*t[8])/4 + (159*t[9])/4 + (743*t[10])/8 + (8499*t[11])/16 + 
       (37*t[12])/2 + (13465*t[13])/36 + (4487*t[14])/24 - (2525*t[15])/18 + 
       45*t[17] - 72*t[20] + 72*t[22] - 4*t[24] - 8*t[27] - 36*t[28] + 
       t[29] + 22*t[30] - 101*t[32] + 17*t[33] + 54*t[34] + 48*t[35] - 
       30*t[36] + 43*t[37] - 10*t[38] + 40*t[39] - (51*t[40])/2 + t[41]/2 - 
       t[42]/2 + (7*t[43])/2 - (157*t[44])/2 + 11*t[45] - 15*t[46] - 
       12*t[47] - (2565*t[48])/16 + (1617*t[49])/8 - (609*t[50])/16 - 
       (1421*t[51])/16 + (833*t[52])/16 - (1297*t[53])/8 - (6855*t[54])/16 - 
       6*t[55] + 6*t[56] + 7*t[59] + (397*t[60])/8 - (1485*t[61])/8 - 
       (1899*t[62])/16 + (1187*t[63])/16 + (3683*t[64])/16 - (8849*t[65])/8 - 
       (28853*t[66])/24 - 78*t[68] - 26*t[70] + 26*t[71] - 32*t[72] - 
       84*t[73] - 15*t[74] + 84*t[75] + 289*t[76] + 3*t[77] - 365*t[78] + 
       24*t[79] + 82*t[80] + (75*t[81])/2 - (187*t[82])/2 + 58*t[83] - 
       (1675*t[84])/8 + (527*t[85])/8 + 66*t[86] - (4943*t[87])/8 - 
       (6927*t[88])/16 - (2741*t[89])/16 - t[91] - 6*t[93] + 66*t[95] + 
       98*t[96] + 30*t[97] + 1320*t[98] - 1692*t[99] + 12*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-19*t[2])/2 + (43*t[3])/2 - (45*t[4])/2 + 9*t[5] - 3*t[6] + 5*t[7] - 
       27*t[8] - 4*t[9] - (15*t[10])/4 - 17*t[11] + (51*t[12])/4 - 
       (379*t[13])/36 - (33*t[14])/8 - (11*t[15])/12 - 2*t[28] - 4*t[29] - 
       4*t[30] + 2*t[31] - 4*t[32] + 4*t[33] - 2*t[35] + 2*t[36] - 2*t[37] - 
       t[38] + 2*t[39] - 5*t[40] + 8*t[44] - 7*t[45] - t[46] + 5*t[47] - 
       9*t[48] - (5*t[49])/4 - (5*t[51])/8 + 6*t[52] + (5*t[53])/4 - 
       (7*t[54])/2 + (5*t[59])/2 - (17*t[60])/2 - (61*t[61])/2 + 25*t[62] + 
       37*t[63] - (83*t[64])/4 - (41*t[65])/6 + (175*t[66])/6 - 4*t[72] - 
       2*t[74] - 4*t[75] + 8*t[76] - 2*t[77] - 19*t[78] + 8*t[79] + 
       10*t[80] - 4*t[81] + 12*t[82] - 4*t[83] - 9*t[84] + (13*t[85])/2 - 
       16*t[86] - (37*t[87])/2 - (37*t[88])/4 - (75*t[89])/4 + t[97] + 
       48*t[98] - 48*t[99] + 12*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((4*t[1])/3 - (161*t[2])/24 + 
       (1057*t[3])/96 + (41*t[4])/3 + (5549*t[5])/288 - (3095*t[6])/288 - 
       (737*t[7])/24 - (877*t[8])/72 - (10741*t[9])/288 + (1271*t[10])/144 + 
       (5425*t[11])/288 - (743*t[12])/288 + (1171*t[13])/96 - 
       (463*t[14])/18 - (5473*t[15])/2592 + 2*t[20] + (259*t[28])/36 - 
       (673*t[29])/144 + (401*t[30])/144 - (2*t[31])/3 + (19*t[32])/144 + 
       t[33]/16 - (163*t[34])/36 + (5*t[35])/3 - t[36] + (7*t[38])/6 + 
       (3*t[39])/2 + t[41]/2 - t[42]/2 - t[43]/2 + (263*t[44])/144 + 
       (7*t[45])/3 - (2*t[47])/3 + (3619*t[48])/288 + (17*t[49])/12 - 
       (1169*t[50])/96 - t[51]/8 + (881*t[52])/96 + (7*t[53])/12 - 
       (3431*t[54])/288 + (107*t[59])/72 - (1597*t[60])/144 - 
       (197*t[61])/144 + (59*t[62])/288 - (8617*t[63])/288 + 
       (2371*t[64])/96 - (2053*t[65])/216 - (703*t[66])/24 + 2*t[69] - 
       (2*t[72])/3 + (7*t[73])/4 + (4*t[74])/9 + (115*t[75])/12 + 
       (5*t[76])/3 + 2*t[77] - (8*t[78])/3 - (7*t[79])/4 - 2*t[80] - 
       t[81]/18 - (47*t[82])/18 - (421*t[83])/36 - (421*t[84])/36 - 
       (130*t[85])/9 - (707*t[86])/36 + (281*t[87])/24 + (829*t[88])/144 - 
       (191*t[89])/288 + (10*t[95])/9 + 3*t[96] + (5*t[97])/3 + 8*t[98] - 
       8*t[99] + (37*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2*(t[1]/2 - t[2]/8 - (141*t[3])/32 + (23*t[4])/4 - 
       (1061*t[5])/96 + (95*t[6])/32 + (143*t[7])/48 + (175*t[8])/24 + 
       (947*t[9])/96 + (139*t[10])/48 - (599*t[11])/96 - (433*t[12])/96 - 
       (97*t[13])/288 + (463*t[14])/72 - (923*t[15])/864 - t[20]/4 + 
       (17*t[28])/12 + (65*t[29])/48 - (29*t[30])/24 - (3*t[31])/2 + 
       (5*t[32])/24 + (3*t[33])/8 - (31*t[34])/12 - 4*t[35] - t[36]/2 + 
       t[38] + (9*t[40])/4 - t[43]/4 - (69*t[44])/16 + (7*t[45])/2 - 
       (5*t[47])/2 + (33*t[48])/32 - (15*t[49])/8 + (61*t[50])/96 + 
       (23*t[51])/16 - (349*t[52])/96 + (15*t[53])/8 + (191*t[54])/32 - 
       (7*t[59])/24 + (649*t[60])/48 + (343*t[61])/48 + (19*t[62])/4 - 
       (121*t[63])/8 - (2537*t[64])/96 - (49*t[65])/144 + (229*t[66])/144 - 
       t[69]/4 - (3*t[72])/2 - (3*t[73])/4 + (11*t[74])/6 - (9*t[75])/4 - 
       5*t[76] + t[77]/2 + (5*t[78])/2 + (3*t[79])/4 - 4*t[80] - 
       (2*t[81])/3 - t[82]/3 - (31*t[83])/24 + (395*t[84])/48 + 
       (143*t[85])/48 - (133*t[86])/12 - (97*t[87])/24 - (21*t[88])/16 + 
       (1411*t[89])/96 - (8*t[95])/3 - t[97]/2 - 24*t[98] + 24*t[99] + 
       (25*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^3*
      ((3*t[1])/8 - (115*t[2])/16 - (103*t[3])/12 - (289*t[4])/96 - 
       (147*t[5])/64 + (1091*t[6])/192 + (161*t[7])/24 + (377*t[8])/48 + 
       (1009*t[9])/192 + (2453*t[10])/192 - (91*t[11])/64 + (1081*t[12])/96 - 
       (1085*t[13])/288 + (8579*t[14])/1152 - (2299*t[15])/1152 + t[17]/12 + 
       (17*t[20])/6 - t[21] - 3*t[22] + t[23] - (4*t[24])/3 - t[27]/4 - 
       2*t[28] + t[29]/24 - (29*t[30])/12 + 2*t[31] + (31*t[32])/24 + 
       (2*t[33])/3 + (7*t[34])/12 - t[35]/2 + (17*t[37])/12 + (7*t[38])/12 - 
       t[39] - t[40] + (7*t[41])/24 - (7*t[42])/24 + (55*t[43])/96 - 
       (31*t[44])/16 - t[45] - (23*t[46])/24 + (13*t[47])/8 + 
       (113*t[48])/192 + (583*t[49])/192 - (251*t[50])/192 - (29*t[51])/128 + 
       (153*t[52])/64 - (263*t[53])/192 + (99*t[54])/64 - t[55]/12 - 
       t[56]/4 + t[57]/2 - t[59]/2 + (301*t[60])/16 - (359*t[61])/24 - 
       (297*t[62])/32 - (869*t[63])/32 - (199*t[64])/48 - (38*t[65])/9 - 
       (25*t[66])/8 + t[68]/6 + t[69] + t[70]/3 - t[71]/3 + t[72]/3 - 
       t[73]/3 - (35*t[74])/6 - (13*t[75])/6 - t[76]/3 + t[77]/4 + 
       (37*t[78])/12 + (11*t[79])/3 - (55*t[80])/12 + (53*t[81])/24 + 
       t[82]/3 + (16*t[83])/3 - (205*t[84])/48 + (19*t[85])/8 + 
       (37*t[86])/24 - (203*t[87])/24 - (115*t[88])/48 + (349*t[89])/48 + 
       t[91]/72 + t[93]/6 - t[95]/3 + (3*t[96])/2 + (13*t[97])/6 + 16*t[98] - 
       13*t[99] + (38*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w]*(t[1]/2 + (73*t[2])/144 - (415*t[3])/192 + 
       (595*t[4])/96 - (25*t[5])/48 + (265*t[6])/128 - (299*t[7])/24 + 
       (299*t[8])/48 - (469*t[9])/64 + (701*t[10])/192 - (727*t[11])/384 - 
       (827*t[12])/192 + (2801*t[13])/576 - (69*t[14])/16 + 
       (1375*t[15])/864 - t[20]/4 - t[22]/4 + (5*t[23])/12 - t[24]/6 + 
       (5*t[28])/12 - (17*t[29])/48 + (25*t[30])/12 - t[31]/3 - 
       (29*t[32])/32 + (35*t[33])/24 - (21*t[34])/8 - (13*t[35])/12 - 
       (7*t[36])/8 - (3*t[37])/8 + t[38]/2 + t[39]/4 + (11*t[40])/16 - 
       t[41]/8 + t[42]/8 - (3*t[43])/16 + (3*t[44])/32 + (35*t[45])/16 + 
       t[46]/8 - (27*t[47])/16 + (1589*t[48])/384 - (13*t[49])/192 - 
       (1295*t[50])/384 + (181*t[51])/384 + (719*t[52])/384 + 
       (13*t[53])/192 + (253*t[54])/128 + (37*t[59])/288 + (271*t[60])/192 - 
       (11*t[61])/192 + (1127*t[62])/128 - (6205*t[63])/384 - 
       (3127*t[64])/384 + (4253*t[65])/576 - (1367*t[66])/192 + t[69]/4 + 
       t[70]/4 - t[71]/4 + t[72]/4 - (5*t[73])/8 + (7*t[74])/12 + 
       (37*t[75])/24 - (27*t[76])/16 + t[77] + (9*t[78])/4 + (11*t[79])/24 - 
       (15*t[80])/8 + (19*t[81])/16 - (31*t[82])/16 - (17*t[83])/24 + 
       (151*t[84])/64 - (167*t[85])/192 - (305*t[86])/24 + (367*t[87])/64 + 
       (535*t[88])/128 + (1339*t[89])/128 - t[95]/4 - t[96]/4 - 
       (3*t[97])/16 - (27*t[98])/2 + 12*t[99] + (51*t[100])/4) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((3*t[1])/2 + (13*t[2])/9 - 
       (157*t[3])/36 + (145*t[4])/12 - (157*t[5])/24 - (1007*t[6])/192 - 
       (355*t[7])/36 + (271*t[8])/144 - (7*t[9])/32 + (769*t[10])/72 + 
       (2797*t[11])/576 - (1517*t[12])/144 + (5837*t[13])/648 - 
       (8623*t[14])/1728 - (4517*t[15])/5184 - (16*t[20])/9 + 2*t[22] - 
       (16*t[24])/9 + (2*t[27])/9 - (41*t[29])/18 + (4*t[30])/3 - 
       (5*t[31])/3 - (113*t[32])/36 + (13*t[33])/9 - (16*t[34])/9 - 2*t[36] - 
       (29*t[37])/18 + (17*t[38])/18 - (29*t[39])/18 + (317*t[40])/72 - 
       (5*t[41])/36 + (5*t[42])/36 + t[43]/36 - (35*t[44])/12 + 
       (20*t[45])/3 + (7*t[46])/12 - (29*t[47])/6 - (25*t[48])/192 - 
       (241*t[49])/72 + (401*t[50])/576 + (23*t[51])/12 - (3665*t[52])/576 + 
       (209*t[53])/72 + (971*t[54])/576 + (5*t[59])/36 + (3017*t[60])/288 + 
       (5335*t[61])/288 - (875*t[62])/576 - (16549*t[63])/576 + 
       (19*t[64])/64 + (1153*t[65])/288 - (19219*t[66])/864 - t[70]/9 + 
       t[71]/9 - t[72]/3 + 2*t[73] + 3*t[74] - 2*t[75] - (53*t[76])/9 + 
       (5*t[77])/9 + (25*t[78])/18 + (10*t[79])/3 - (10*t[80])/3 - 
       (10*t[81])/9 - (37*t[82])/18 - (17*t[83])/18 + (1109*t[84])/96 - 
       (97*t[85])/288 + t[86]/3 + (3473*t[87])/288 + (1051*t[88])/192 + 
       (3209*t[89])/192 - (11*t[95])/3 - (5*t[96])/9 - (3*t[97])/2 - 
       (122*t[98])/3 + 40*t[99] + 13*t[100]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-101*t[2])/12 - t[3]/24 + (19*t[4])/12 - (149*t[5])/12 + 
       (69*t[6])/4 - 13*t[7] + (136*t[8])/3 - (23*t[9])/2 + (75*t[10])/8 - 
       (269*t[11])/12 - t[12]/24 - (505*t[13])/72 - (2861*t[14])/144 - 
       (833*t[15])/144 + (5*t[20])/6 - t[22] - t[23] - t[24] + 8*t[28] - 
       t[29]/6 + (32*t[30])/3 + t[31]/2 + (15*t[32])/4 + (2*t[33])/3 + 
       2*t[34] + 8*t[35] - t[36] + t[37] + (3*t[40])/4 + t[41]/2 - t[42]/2 + 
       (113*t[44])/12 + t[46]/2 + t[47] + 8*t[48] + (53*t[49])/24 - 
       (103*t[50])/12 - (35*t[51])/48 + (103*t[52])/12 - (53*t[53])/24 + 
       (247*t[54])/12 + t[59]/3 - (227*t[60])/6 - (9*t[61])/2 + 
       (29*t[62])/6 + (11*t[63])/3 + (1729*t[64])/24 + (382*t[65])/9 + 
       (277*t[66])/6 + t[69]/2 + t[72]/2 + 5*t[73] - (8*t[74])/3 + 10*t[75] - 
       (3*t[76])/2 - 6*t[79] - t[80] + t[81]/3 - (10*t[82])/3 - 
       (47*t[83])/4 - (15*t[84])/4 - (17*t[85])/12 + 13*t[86] + 
       (149*t[87])/4 + (431*t[88])/24 + (209*t[89])/12 + (4*t[95])/3 + 
       (27*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((9*t[2])/4 - (5*t[3])/8 - (41*t[4])/8 + 
       (67*t[5])/16 + (203*t[6])/6 - (1141*t[7])/24 + (739*t[8])/8 - 
       (2057*t[9])/48 - (147*t[10])/16 - (391*t[11])/12 + (7*t[12])/2 - 
       (197*t[13])/144 - (4555*t[14])/288 + (1015*t[15])/96 + t[20] - t[22] + 
       4*t[28] - (13*t[29])/3 + (29*t[30])/3 - 2*t[31] - (53*t[32])/12 + 
       6*t[33] + (5*t[34])/3 - 4*t[35] + t[36] - t[37] + (3*t[40])/2 - 
       t[41]/2 + t[42]/2 - t[43]/2 - (17*t[44])/3 - t[46]/2 - t[47] + 
       (431*t[48])/24 - (35*t[49])/16 - (559*t[50])/24 + (23*t[51])/32 + 
       (559*t[52])/24 + (35*t[53])/16 + (97*t[54])/3 + (4*t[59])/3 - 
       (257*t[60])/8 - (109*t[61])/24 + (2039*t[62])/48 - (1003*t[63])/48 + 
       (1615*t[64])/48 + (1223*t[65])/24 + (4675*t[66])/72 + t[69] + 
       2*t[73] - (2*t[74])/3 + 9*t[75] - (9*t[76])/2 + t[80] - (7*t[81])/6 + 
       (13*t[82])/6 - (33*t[83])/2 - (23*t[84])/24 - (83*t[85])/24 - 
       10*t[86] + (931*t[87])/24 + (923*t[88])/48 + (1283*t[89])/48 + 
       (4*t[95])/3 + (27*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*(t[1] - (43*t[2])/4 + 
       (3*t[3])/2 + 12*t[4] - (91*t[5])/8 - (319*t[6])/12 + (323*t[7])/12 - 
       53*t[8] - (323*t[9])/24 + (39*t[10])/4 + (193*t[11])/12 - 
       (79*t[12])/8 - (151*t[13])/36 - (743*t[14])/72 - (211*t[15])/48 + 
       t[20]/2 - t[22] - 9*t[28] - (191*t[29])/12 + (19*t[30])/3 - 
       (5*t[31])/2 - t[32]/12 - t[33] - (26*t[34])/3 - 2*t[35] - t[36] + 
       t[37] + 2*t[38] + (15*t[40])/4 + t[41]/2 - t[42]/2 + (251*t[44])/12 + 
       7*t[45] + t[46]/2 - 4*t[47] - (125*t[48])/6 - (3*t[49])/4 + 
       (47*t[50])/3 + (7*t[51])/4 - (65*t[52])/3 + (3*t[53])/4 - 
       (55*t[54])/3 + t[59]/6 - (191*t[60])/4 + (271*t[61])/6 - 
       (925*t[62])/24 + (869*t[63])/24 + (601*t[64])/24 + (85*t[65])/6 - 
       (29*t[66])/9 + t[69]/2 - (3*t[72])/2 - 5*t[73] + (2*t[74])/3 - 
       10*t[75] - (17*t[76])/2 + 4*t[78] + 3*t[79] - 7*t[80] + t[81]/6 - 
       (31*t[82])/6 + (61*t[83])/4 - (17*t[84])/12 - (43*t[85])/6 + 6*t[86] + 
       (571*t[87])/12 + (527*t[88])/24 + (101*t[89])/24 - (4*t[95])/3 - 
       t[97] - 48*t[98] + 48*t[99] + (27*t[100])/2) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (t[1] + (19*t[2])/36 - (2177*t[3])/96 - (31*t[4])/24 - (1021*t[5])/48 + 
       (413*t[6])/32 + (169*t[7])/16 + (367*t[8])/12 + (287*t[9])/12 + 
       (61*t[10])/8 - (377*t[11])/32 - (35*t[12])/24 - (4445*t[13])/864 + 
       (1601*t[14])/144 + (4135*t[15])/1728 - t[18]/6 - t[20]/2 - 
       (11*t[23])/6 - 3*t[24] + t[27]/6 + (15*t[29])/8 - (23*t[30])/8 + 
       (4*t[31])/3 + (113*t[32])/16 - (19*t[33])/8 - (8*t[34])/3 + 
       (37*t[35])/6 + t[36]/4 - t[37]/3 + t[38]/3 + (5*t[39])/12 - 
       (19*t[40])/24 + t[41]/12 - t[42]/12 + t[43]/12 + (203*t[44])/48 + 
       (37*t[45])/12 + t[46]/2 - (7*t[47])/4 + (223*t[48])/32 - 
       (85*t[49])/48 + (209*t[50])/96 + (119*t[51])/96 - (59*t[52])/32 + 
       (23*t[53])/16 + (1363*t[54])/96 + (67*t[59])/72 + (1051*t[60])/48 + 
       (221*t[61])/16 - (521*t[62])/48 - (375*t[63])/16 - (685*t[64])/32 + 
       (119*t[65])/8 + (535*t[66])/72 - t[67]/12 + t[69] + (5*t[70])/3 - 
       (5*t[71])/3 - t[72]/3 + (7*t[73])/4 + (7*t[74])/12 + (17*t[75])/4 - 
       (5*t[76])/6 + (25*t[77])/12 + (17*t[78])/3 - (9*t[79])/4 - 
       (4*t[80])/3 + (23*t[81])/24 - (85*t[82])/24 - t[83] + (253*t[84])/24 + 
       (281*t[85])/48 + (23*t[86])/12 - t[87]/24 + (125*t[88])/16 + 
       (459*t[89])/32 - 3*t[95] - (13*t[96])/6 + t[97]/2 - 11*t[98] + 
       7*t[99] + (29*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((19*t[1])/6 + (973*t[2])/72 - 
       (7847*t[3])/144 + (187*t[4])/12 - (161*t[5])/3 + (2035*t[6])/64 + 
       (52*t[7])/9 + (7997*t[8])/144 + (3475*t[9])/96 + (1205*t[10])/72 - 
       (18187*t[11])/576 - (4585*t[12])/144 - (4003*t[13])/1296 + 
       (2497*t[14])/1728 + (3341*t[15])/5184 + (13*t[20])/9 - t[22] - 
       (26*t[24])/9 + (19*t[27])/9 + t[28] - (89*t[29])/36 + (7*t[30])/6 - 
       (14*t[31])/3 + (877*t[32])/72 + (26*t[33])/9 - (77*t[34])/9 + 
       2*t[35] - (29*t[36])/6 - (67*t[37])/18 + (43*t[38])/18 - 
       (139*t[39])/18 + (739*t[40])/72 - (37*t[41])/36 + (37*t[42])/36 - 
       (55*t[43])/36 + (41*t[44])/8 + (68*t[45])/3 + (29*t[46])/12 - 
       (119*t[47])/6 + (3439*t[48])/192 - (1055*t[49])/72 + 
       (9577*t[50])/576 + (215*t[51])/24 - (14569*t[52])/576 + 
       (607*t[53])/72 + (20611*t[54])/576 - (17*t[59])/9 + 
       (19609*t[60])/288 + (12143*t[61])/288 + (1481*t[62])/576 - 
       (53177*t[63])/576 - (17671*t[64])/192 + (7063*t[65])/96 + 
       (11089*t[66])/864 + t[69] + (37*t[70])/9 - (37*t[71])/9 + 
       (11*t[72])/3 + (41*t[73])/6 + (13*t[74])/3 - (17*t[75])/6 - 
       (274*t[76])/9 + (65*t[77])/18 + (316*t[78])/9 + 4*t[79] - 
       (65*t[80])/3 + (31*t[81])/36 - (391*t[82])/36 - (17*t[83])/9 + 
       (5225*t[84])/96 + (4495*t[85])/288 - (8*t[86])/3 + (9877*t[87])/288 + 
       (2349*t[88])/64 + (11801*t[89])/192 - (37*t[95])/3 - (139*t[96])/9 - 
       6*t[97] - (568*t[98])/3 + 190*t[99] + (29*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      ((-77*t[2])/18 + (593*t[3])/144 - (349*t[4])/36 + (1997*t[5])/288 - 
       (67*t[6])/48 + (293*t[7])/144 + (779*t[8])/144 - (3109*t[9])/288 - 
       (197*t[10])/72 - (919*t[11])/72 - (119*t[12])/32 - (4975*t[13])/432 - 
       (1705*t[14])/144 + (4063*t[15])/1728 + (7*t[18])/18 - (4*t[19])/3 + 
       (2*t[20])/3 + (2*t[21])/3 - (19*t[23])/18 + (4*t[28])/3 + 
       (7*t[29])/3 + t[30]/2 + (3*t[31])/2 + (17*t[32])/6 - (13*t[33])/6 + 
       (2*t[34])/3 + (23*t[35])/6 + (5*t[37])/3 + (11*t[41])/36 - t[42]/36 + 
       (175*t[43])/72 + (5*t[44])/2 - (31*t[45])/36 + (3*t[46])/2 - 
       (4*t[47])/3 + (263*t[48])/48 + (19*t[49])/48 - (47*t[50])/16 - 
       (55*t[51])/96 + (47*t[52])/16 - (19*t[53])/48 + (199*t[54])/48 + 
       t[59]/36 - (31*t[60])/3 - (137*t[61])/6 + (1709*t[62])/144 + 
       (991*t[63])/144 + (1651*t[64])/72 + (89*t[65])/24 + (1733*t[66])/54 + 
       t[67]/12 + (2*t[69])/3 - (5*t[70])/6 + (13*t[71])/18 + t[73] - 
       (4*t[74])/3 + (7*t[75])/2 - t[77]/2 - t[79]/3 + (7*t[80])/2 - 
       (13*t[81])/12 + (25*t[82])/12 - (65*t[83])/12 - (7*t[84])/3 - 
       (5*t[85])/8 + (31*t[86])/9 + (13*t[87])/8 + (13*t[88])/16 + 
       (34*t[89])/9 - 2*t[99] + (59*t[100])/4) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((13*t[3])/12 + (1369*t[4])/144 + 
       (11*t[5])/3 - t[6]/24 - 8*t[7] - (19*t[8])/2 - (41*t[9])/12 + 
       (2051*t[10])/288 + (31*t[11])/24 - (1153*t[12])/288 + 
       (479*t[13])/144 - (3553*t[14])/576 + (173*t[15])/288 + (23*t[28])/6 + 
       t[29]/4 + t[30] + (3*t[31])/2 - (3*t[35])/2 - (11*t[36])/6 + 
       (3*t[39])/2 - (3*t[40])/2 + t[44]/3 + (3*t[45])/2 + (11*t[46])/6 - 
       3*t[47] + (71*t[48])/24 + (553*t[49])/288 - (61*t[50])/24 - 
       (589*t[51])/576 + (61*t[52])/24 - (553*t[53])/288 - (181*t[54])/48 + 
       (221*t[60])/16 - (281*t[61])/48 + (4387*t[62])/288 - (1337*t[63])/96 - 
       (1925*t[64])/96 - (1303*t[65])/144 - (3347*t[66])/432 + (3*t[74])/2 + 
       (17*t[75])/3 + (3*t[77])/2 + (3*t[78])/2 - (4*t[79])/3 - 3*t[80] + 
       (7*t[81])/3 - (11*t[82])/6 - (20*t[83])/3 + (257*t[84])/144 + 
       (43*t[85])/48 - 22*t[86] - (1795*t[87])/144 - (1795*t[88])/288 + 
       (1391*t[89])/288 - 2*t[99] + (59*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^3*(t[1] + (77*t[2])/16 + 
       (155*t[3])/32 + (119*t[4])/16 + (197*t[5])/32 - (83*t[6])/64 - 
       (267*t[7])/16 + (39*t[8])/8 - (43*t[9])/2 + (189*t[10])/32 - 
       (61*t[11])/64 - (155*t[12])/16 + (53*t[13])/96 - (59*t[14])/4 - 
       (5*t[15])/192 + t[20] - t[25]/2 + t[27] - (7*t[29])/8 + t[30] - 
       t[31]/2 + t[32]/2 + (9*t[33])/4 - 4*t[34] - t[35] - t[36] - 
       (5*t[37])/4 + (3*t[38])/2 - 3*t[39] + (27*t[40])/8 - (3*t[41])/8 + 
       (3*t[42])/8 - t[43]/8 - (17*t[44])/16 + 6*t[45] + t[46]/4 - 
       (25*t[47])/4 + (127*t[48])/64 - (73*t[49])/32 + (83*t[50])/64 + 
       (101*t[51])/64 - (243*t[52])/64 + (57*t[53])/32 - (95*t[54])/64 - 
       t[59] - (79*t[60])/32 - (171*t[61])/32 + (403*t[62])/64 - 
       (1555*t[63])/64 - (811*t[64])/64 + (213*t[65])/32 + (677*t[66])/96 + 
       t[70]/2 - t[71]/2 - t[72]/2 + t[73] + (3*t[74])/4 - (3*t[75])/2 - 
       7*t[76] + t[77]/4 + (17*t[78])/4 + (5*t[79])/4 - (13*t[80])/2 - 
       (37*t[81])/8 - (11*t[82])/8 + (5*t[83])/2 + (135*t[84])/32 - 
       (35*t[85])/32 - t[86]/4 + (475*t[87])/32 + (651*t[88])/64 + 
       (487*t[89])/64 - (3*t[95])/2 - 2*t[96] - (3*t[97])/2 - 42*t[98] + 
       46*t[99] + (59*t[100])/4) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 
       1 - w]*((-3*t[1])/2 + (11*t[3])/4 + (23*t[4])/2 + (37*t[5])/2 + 
       (15*t[6])/2 - 8*t[7] - 26*t[8] + (21*t[9])/2 - (41*t[10])/4 - 
       (7*t[11])/4 - t[12]/4 + (251*t[13])/24 + (23*t[14])/8 - 
       (299*t[15])/24 - 8*t[30] + (3*t[39])/2 - 2*t[40] + 5*t[44] - 
       (33*t[48])/4 + (31*t[49])/4 - (17*t[50])/4 - (31*t[51])/8 + 
       (17*t[52])/4 - (39*t[53])/4 - (45*t[54])/4 + 18*t[60] - 
       (107*t[61])/2 + (35*t[62])/2 - (143*t[63])/2 - (53*t[64])/4 + 
       (91*t[65])/6 - (133*t[66])/6 - 3*t[72] + 30*t[76] + 8*t[77] - 
       49*t[78] + (5*t[81])/2 - 11*t[82] + t[84]/2 + (69*t[85])/2 - 
       17*t[87] - (17*t[88])/2 + 22*t[89] + 144*t[98] - 192*t[99] + 
       15*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*
      ((3*t[1])/2 + (29*t[2])/4 - 13*t[3] + (47*t[4])/4 - (151*t[5])/8 + 
       (29*t[6])/4 + (17*t[7])/4 + t[8]/4 + (227*t[9])/8 - (3*t[10])/8 - 
       (105*t[11])/4 - (43*t[12])/4 + (601*t[13])/24 + (137*t[14])/16 - 
       (625*t[15])/48 + t[17] + 3*t[20] - 5*t[24] + (3*t[29])/2 - 5*t[30] - 
       6*t[32] + 4*t[33] + 11*t[34] - 4*t[39] + 6*t[40] - (11*t[41])/2 + 
       (11*t[42])/2 - (3*t[44])/2 - 24*t[45] + 32*t[47] + t[48] + 
       (53*t[49])/8 - 5*t[50] - (53*t[51])/16 - 3*t[52] - (53*t[53])/8 - 
       (7*t[54])/4 - (35*t[59])/4 + (107*t[60])/4 - (291*t[61])/4 + 
       (341*t[62])/8 - (233*t[63])/8 - (35*t[64])/8 - (17*t[65])/4 - 
       (637*t[66])/12 - t[68] - 3*t[69] + 3*t[70] - 3*t[71] - 6*t[72] + 
       6*t[76] - 17*t[78] + (5*t[81])/2 - t[82] - (5*t[84])/4 + 
       (105*t[85])/4 - (69*t[87])/4 - (69*t[88])/8 + (323*t[89])/8 + t[90] + 
       144*t[98] - 192*t[99] + 15*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*((17*t[1])/6 + (29*t[2])/3 + 
       (37*t[3])/3 - (337*t[4])/24 - (7*t[5])/8 - (229*t[6])/24 - 
       (89*t[7])/4 + (235*t[8])/12 - (467*t[9])/8 + (1237*t[10])/48 - 
       (63*t[11])/8 + (587*t[12])/48 + (173*t[13])/216 - (4813*t[14])/96 + 
       (527*t[15])/216 - 5*t[25] + (7*t[26])/3 + (26*t[27])/3 - (4*t[28])/3 - 
       (4*t[29])/3 + (10*t[30])/3 - 2*t[31] - (10*t[32])/3 + 2*t[33] + 
       (20*t[34])/3 + 2*t[35] - t[36] - (4*t[37])/3 + t[38]/3 - 5*t[39] - 
       2*t[40] - (2*t[41])/3 + (2*t[42])/3 - (28*t[44])/3 - 6*t[45] - 
       (5*t[46])/6 + t[47] - (227*t[48])/24 - (697*t[49])/48 + 
       (161*t[50])/24 + (299*t[51])/96 - (11*t[52])/8 - (103*t[53])/48 - 
       (107*t[54])/6 + (2*t[58])/3 - t[59]/2 - (1771*t[60])/24 - 
       (781*t[61])/8 - (1361*t[62])/48 - (533*t[63])/16 + (5549*t[64])/48 + 
       (1921*t[65])/72 + (4643*t[66])/72 - t[68]/3 - 2*t[69] + (4*t[70])/3 - 
       (4*t[71])/3 + 16*t[72] + 6*t[73] + (14*t[74])/3 - 21*t[75] - 
       (31*t[76])/3 - (11*t[77])/3 + (20*t[78])/3 + 4*t[79] + (7*t[80])/3 - 
       (11*t[81])/3 + 9*t[82] + (118*t[83])/3 - (283*t[84])/24 + 
       (77*t[85])/24 + (326*t[86])/3 + (1177*t[87])/24 + (611*t[88])/16 - 
       (451*t[89])/48 + (2*t[95])/3 - 8*t[96] - (2*t[97])/3 - 64*t[98] + 
       52*t[99] + 15*t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(-t[1]/4 + (115*t[2])/48 + (199*t[3])/96 + 
       (63*t[4])/16 + (61*t[5])/32 - (87*t[6])/64 - (745*t[7])/48 + 
       (47*t[8])/24 - (61*t[9])/4 + (247*t[10])/96 - (899*t[11])/192 - 
       (215*t[12])/48 - (289*t[13])/864 - (833*t[14])/72 - 
       (3755*t[15])/1728 + (2*t[20])/3 + t[24]/6 + (2*t[27])/3 + t[29]/24 + 
       2*t[30] + t[31]/2 + t[32]/12 + (13*t[33])/12 - (5*t[34])/6 + t[35] - 
       t[36] - t[37]/12 + t[38]/3 - (7*t[39])/3 + (47*t[40])/24 - 
       (7*t[41])/24 + (7*t[42])/24 + (5*t[43])/24 - (3*t[44])/16 + 
       (11*t[45])/4 + t[46]/4 - 3*t[47] + (67*t[48])/64 - (55*t[49])/96 - 
       (43*t[50])/192 + (49*t[51])/64 - (149*t[52])/192 - (73*t[53])/96 - 
       (193*t[54])/192 - (4*t[59])/3 - (205*t[60])/96 - (1757*t[61])/96 + 
       (2305*t[62])/192 - (1105*t[63])/192 + (353*t[64])/64 + 
       (527*t[65])/96 + (2363*t[66])/288 + t[70]/6 - t[71]/6 - t[72]/2 + 
       t[73] + t[74]/4 - t[75] - (53*t[76])/12 - t[77]/12 + (65*t[78])/12 + 
       (7*t[79])/4 - (9*t[80])/2 - (29*t[81])/24 - (19*t[82])/24 - t[83]/3 + 
       (71*t[84])/32 + (119*t[85])/96 - (3*t[86])/4 + (905*t[87])/96 + 
       (355*t[88])/64 + (343*t[89])/64 - t[95]/2 - (13*t[96])/6 - 
       (3*t[97])/2 - 26*t[98] + 28*t[99] + (63*t[100])/4) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      (-t[1]/4 + (7*t[2])/48 + (43*t[3])/48 - (121*t[4])/48 + (25*t[5])/96 + 
       (73*t[6])/192 - (101*t[7])/24 - (77*t[8])/48 - (217*t[9])/24 - 
       (419*t[10])/96 - (1745*t[11])/192 - (31*t[12])/8 - (1165*t[13])/432 - 
       (871*t[14])/72 + (1139*t[15])/864 - t[24]/6 + (2*t[27])/3 + t[28]/2 - 
       t[29]/12 + (5*t[30])/3 + (5*t[32])/12 + t[33]/12 - 2*t[34] - t[35] + 
       t[36] - t[37]/12 + t[38]/3 - (11*t[39])/6 + (53*t[40])/24 - 
       (7*t[41])/24 + (7*t[42])/24 - t[43]/24 + (37*t[44])/24 + 
       (31*t[45])/12 + t[46]/4 - (5*t[47])/2 + (141*t[48])/64 - 
       (103*t[49])/32 + (185*t[50])/64 + (281*t[51])/192 - (875*t[52])/192 + 
       (181*t[53])/96 + (103*t[54])/64 - t[59]/12 - (1063*t[60])/96 - 
       (1109*t[61])/96 + (2609*t[62])/192 + (839*t[63])/192 + 
       (443*t[64])/192 + (5077*t[65])/288 + (7859*t[66])/288 + t[70]/6 - 
       t[71]/6 - (5*t[72])/6 + t[73] - t[74]/4 - t[75] - (55*t[76])/12 + 
       t[77]/12 + (71*t[78])/12 - (23*t[80])/6 - (13*t[81])/8 + 
       (31*t[82])/24 - t[83]/3 + (229*t[84])/96 + (43*t[85])/96 + t[86]/2 + 
       (1301*t[87])/96 + (487*t[88])/64 + (1195*t[89])/192 - t[95]/2 - 
       (13*t[96])/6 - (3*t[97])/2 - 26*t[98] + 28*t[99] + (63*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (t[1] - (5*t[2])/2 + (33*t[3])/4 + 8*t[4] - (8*t[5])/3 - 
       (187*t[6])/12 + (13*t[7])/2 - (169*t[8])/6 - (43*t[9])/6 + 
       (2*t[10])/3 + (95*t[11])/12 - (41*t[12])/6 + (19*t[13])/12 - 
       (39*t[14])/4 - (877*t[15])/216 - (14*t[28])/3 - (17*t[29])/6 + 
       t[30]/6 - 2*t[31] - (7*t[32])/6 - t[33]/2 - (22*t[34])/3 - 4*t[35] + 
       2*t[38] + 3*t[40] + (25*t[44])/6 + 7*t[45] - 5*t[47] - (85*t[48])/12 - 
       4*t[49] + (19*t[50])/4 + 3*t[51] - (43*t[52])/4 + 4*t[53] - 
       (103*t[54])/12 - t[59]/6 + t[60]/6 + (77*t[61])/6 - (161*t[62])/12 - 
       (185*t[63])/12 - (41*t[64])/4 - (62*t[65])/9 - 15*t[66] - 2*t[72] - 
       2*t[73] + (4*t[74])/3 - 6*t[75] - 7*t[76] + 4*t[78] + 2*t[79] - 
       6*t[80] - (5*t[81])/3 - t[82]/3 + (14*t[83])/3 + (14*t[84])/3 - 
       (13*t[85])/3 - (2*t[86])/3 + 9*t[87] + (16*t[88])/3 + (65*t[89])/12 - 
       (8*t[95])/3 - t[97] - 48*t[98] + 48*t[99] + 16*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-7*t[1])/12 - (155*t[2])/48 - (1097*t[3])/192 + (17*t[4])/24 - 
       (4895*t[5])/288 - (7559*t[6])/576 + (965*t[7])/32 - (12821*t[8])/288 + 
       (4549*t[9])/288 + (319*t[10])/144 + (463*t[11])/576 - 
       (887*t[12])/144 - (4307*t[13])/576 + (1903*t[14])/576 - 
       (57041*t[15])/10368 + t[20]/2 - t[22] - (19*t[28])/9 - 
       (1289*t[29])/144 + (281*t[30])/72 - (4*t[31])/3 - (113*t[32])/72 + 
       t[33] - (7*t[34])/72 + t[35]/3 - t[36] + t[37] + t[38]/3 - 
       (3*t[39])/2 + 3*t[40] + (1819*t[44])/144 + (35*t[45])/12 + t[46]/2 - 
       (25*t[47])/12 - (9827*t[48])/576 - (23*t[49])/48 + (949*t[50])/64 + 
       (25*t[51])/32 - (1045*t[52])/64 - (73*t[53])/48 - (4223*t[54])/576 - 
       (187*t[59])/144 - (2977*t[60])/288 + (2509*t[61])/288 - 
       (13981*t[62])/576 + (13721*t[63])/576 + (235*t[64])/64 + 
       (2107*t[65])/216 - (91*t[66])/18 + t[69]/2 - t[72]/3 + (19*t[74])/18 - 
       (16*t[75])/3 - (101*t[76])/12 - t[77] + (20*t[78])/3 - 2*t[79] - 
       (11*t[80])/2 + (14*t[81])/9 - (61*t[82])/18 + (211*t[83])/36 + 
       (653*t[84])/72 + (277*t[85])/36 + (155*t[86])/9 + (209*t[87])/16 + 
       (2071*t[88])/288 + (733*t[89])/576 - (19*t[95])/9 - 3*t[96] - 
       (29*t[97])/12 - 44*t[98] + 44*t[99] + (103*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
      ((5*t[1])/12 - (8*t[2])/3 + (259*t[3])/48 + (59*t[4])/24 - 
       (667*t[5])/288 + (511*t[6])/288 - (275*t[7])/48 + (1351*t[8])/144 - 
       (739*t[9])/288 + t[10]/72 - (1949*t[11])/288 - (695*t[12])/288 - 
       (65*t[13])/48 - (3341*t[14])/288 - (17021*t[15])/5184 + (2*t[20])/3 + 
       (109*t[28])/36 + (461*t[29])/144 + (161*t[30])/144 - (5*t[31])/6 + 
       (517*t[32])/144 - (97*t[33])/48 - (29*t[34])/18 + t[35]/3 + 
       (5*t[38])/6 + (5*t[40])/4 - (49*t[44])/144 + (35*t[45])/12 - 
       (25*t[47])/12 + (1147*t[48])/288 - (85*t[49])/48 - (253*t[50])/96 + 
       (125*t[51])/96 + (13*t[52])/96 + (85*t[53])/48 + (1411*t[54])/288 + 
       (35*t[59])/72 - (37*t[60])/144 - (1235*t[61])/144 + (2111*t[62])/288 - 
       (4405*t[63])/288 + (287*t[64])/96 + (2743*t[65])/432 + 
       (215*t[66])/16 - (5*t[72])/6 + (19*t[73])/12 - (13*t[74])/18 + 
       (49*t[75])/12 - (35*t[76])/12 + (5*t[78])/3 - (19*t[79])/12 - 
       (5*t[80])/2 - (19*t[81])/18 + (2*t[82])/9 - (307*t[83])/36 + 
       (197*t[84])/144 - (325*t[85])/144 - (5*t[86])/36 + (197*t[87])/48 + 
       (383*t[88])/288 + (1525*t[89])/288 - (5*t[95])/9 - (5*t[97])/12 - 
       20*t[98] + 20*t[99] + (52*t[100])/3) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-11*t[1])/4 + (45*t[2])/4 + (85*t[3])/12 - (397*t[4])/24 - 
       (103*t[5])/24 - (2077*t[6])/96 - (281*t[7])/24 - (1823*t[8])/24 + 
       (43*t[9])/16 - (1169*t[10])/48 - (1153*t[11])/32 - (899*t[12])/48 - 
       (9323*t[13])/432 - (575*t[14])/144 - (6035*t[15])/864 + t[17]/12 - 
       t[19]/6 - t[20]/2 - t[21]/2 + t[22] + t[23]/2 - t[24]/6 - 
       (5*t[25])/6 - (5*t[26])/3 + 2*t[27] - (34*t[28])/3 - (17*t[29])/3 - 
       (7*t[30])/3 + 4*t[31] - (5*t[32])/6 - t[33] + (31*t[34])/6 + 6*t[35] - 
       (5*t[36])/3 + (7*t[37])/3 + t[38]/6 - 5*t[39] + (13*t[40])/6 - 
       (9*t[41])/4 + (9*t[42])/4 + t[43]/2 + (13*t[44])/2 + (2*t[45])/3 + 
       (11*t[46])/6 - (9*t[47])/2 - (457*t[48])/32 - (65*t[49])/16 + 
       (1505*t[50])/96 - (91*t[51])/32 - (1153*t[52])/96 + (9*t[53])/16 - 
       (89*t[54])/96 - (2*t[58])/3 - (13*t[59])/3 + (457*t[60])/48 - 
       (4489*t[61])/48 + (4891*t[62])/96 + (2551*t[63])/32 - 
       (1987*t[64])/32 - (2645*t[65])/144 - (499*t[66])/144 - t[68]/6 - 
       (5*t[69])/2 + t[70]/2 - t[71]/2 - t[72] - t[73] - 9*t[75] - 
       (61*t[76])/6 - (25*t[77])/6 + 16*t[78] - 2*t[79] - 6*t[80] + 
       (73*t[81])/12 + (97*t[82])/12 + (143*t[83])/6 + (1001*t[84])/48 + 
       (545*t[85])/16 - (8*t[86])/3 - (1055*t[87])/48 - (1583*t[88])/96 - 
       (2669*t[89])/96 - 2*t[95] - (26*t[96])/3 - (17*t[97])/2 - 80*t[98] + 
       95*t[99] + (35*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*((17*t[1])/3 + (70*t[2])/9 + 
       (797*t[3])/48 + (347*t[4])/24 + (661*t[5])/48 - (3995*t[6])/288 - 
       (313*t[7])/24 + 51*t[8] - (181*t[9])/6 - (1457*t[10])/48 + 
       (3949*t[11])/96 - 38*t[12] + (4189*t[13])/108 - (775*t[14])/72 + 
       (9427*t[15])/864 - t[17]/4 + (4*t[18])/3 - (7*t[20])/3 + (7*t[21])/3 - 
       (13*t[22])/3 - (2*t[23])/3 + (11*t[24])/6 - (2*t[25])/3 - 
       (11*t[26])/6 + (3*t[27])/2 - (22*t[28])/3 + t[29]/12 - (15*t[30])/4 - 
       t[31]/2 - (17*t[32])/4 + (19*t[33])/12 - (29*t[34])/3 - 11*t[35] - 
       2*t[36] - (3*t[37])/2 + (19*t[38])/3 - (49*t[39])/12 + 
       (101*t[40])/12 - (7*t[41])/12 + (25*t[42])/36 + (37*t[43])/6 - 
       (55*t[44])/8 + (14*t[45])/3 + (11*t[46])/4 + (13*t[47])/6 + 
       (185*t[48])/96 - (233*t[49])/48 - (257*t[50])/32 + (583*t[51])/96 - 
       (829*t[52])/96 + (233*t[53])/48 - (67*t[54])/32 + t[58]/6 - 
       (85*t[59])/18 + (1255*t[60])/48 + (2299*t[61])/48 - (4013*t[62])/96 - 
       (10115*t[63])/96 + (4771*t[64])/96 + (6457*t[65])/144 - 
       (1465*t[66])/16 + 2*t[68] - (13*t[69])/2 - (5*t[70])/6 + (5*t[71])/6 - 
       (3*t[72])/2 - 6*t[73] + (17*t[74])/3 - (13*t[75])/2 - (19*t[76])/2 - 
       (29*t[77])/12 + (85*t[78])/6 - (5*t[79])/2 + (343*t[80])/6 - 
       (7*t[81])/6 - (23*t[82])/6 + (91*t[83])/3 + (189*t[84])/16 + 
       (43*t[85])/48 + (160*t[86])/3 + (347*t[87])/16 + (1177*t[88])/96 + 
       (1119*t[89])/32 - (8*t[95])/3 - (3*t[97])/2 - 80*t[98] + 95*t[99] + 
       (35*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-7*t[1])/6 - (53*t[2])/12 + (1637*t[3])/48 + 
       (97*t[4])/12 + (5981*t[5])/144 - (1649*t[6])/144 - (39*t[7])/4 - 
       (347*t[8])/18 - (5617*t[9])/144 + (283*t[10])/36 + (5047*t[11])/144 + 
       (2791*t[12])/144 + (7187*t[13])/432 - (1565*t[14])/144 + 
       (24431*t[15])/1296 + (4*t[20])/3 - 2*t[22] - (8*t[24])/3 - 
       (2*t[27])/3 - (17*t[28])/18 + (407*t[29])/72 + (779*t[30])/72 + 
       (19*t[31])/3 - (659*t[32])/72 - (31*t[33])/24 + (119*t[34])/18 + 
       (32*t[35])/3 - (2*t[37])/3 - (11*t[38])/3 + (4*t[39])/3 - 
       (23*t[40])/6 - t[41]/3 + t[42]/3 + (5*t[43])/3 + (821*t[44])/72 - 
       (115*t[45])/6 + (101*t[47])/6 + (1237*t[48])/144 + (493*t[49])/24 - 
       (299*t[50])/48 - (557*t[51])/48 + (635*t[52])/48 - (365*t[53])/24 - 
       (4133*t[54])/144 + (61*t[59])/18 - (6625*t[60])/72 - (1787*t[61])/72 + 
       (5471*t[62])/144 + (18047*t[63])/144 - (57*t[64])/16 + 
       (581*t[65])/108 + (1715*t[66])/36 + 2*t[69] - (8*t[70])/3 + 
       (8*t[71])/3 + t[72]/3 + t[73]/6 - (115*t[74])/9 + (67*t[75])/6 + 
       (167*t[76])/6 + (4*t[77])/3 - (73*t[78])/3 - t[79]/6 + 21*t[80] + 
       (35*t[81])/9 + (13*t[82])/9 - (85*t[83])/18 - (485*t[84])/9 - 
       (677*t[85])/36 - (455*t[86])/18 - (11*t[87])/4 - (1277*t[88])/72 - 
       (3971*t[89])/144 + (158*t[95])/9 + (32*t[96])/3 + (31*t[97])/6 + 
       184*t[98] - 184*t[99] + (53*t[100])/3) + HPL[{0, 1}, 1 - w]*
      M1[w, v, u]*((-7*t[1])/4 - (11*t[2])/12 + (451*t[3])/24 + t[4]/2 + 
       (65*t[5])/4 - (159*t[6])/16 - (61*t[7])/3 - (275*t[8])/12 - 
       (251*t[9])/8 - (97*t[10])/12 + (49*t[11])/48 - (17*t[12])/12 + 
       (85*t[13])/27 - (3175*t[14])/144 - (103*t[15])/54 + (2*t[20])/3 + 
       (2*t[24])/3 - t[27]/3 + (7*t[29])/6 + 3*t[30] + t[31] - (25*t[32])/6 + 
       t[33]/3 + (13*t[34])/6 + (2*t[37])/3 - t[38]/6 - (7*t[39])/3 + 
       (11*t[40])/6 - (5*t[41])/12 + (5*t[42])/12 + t[43]/3 - (7*t[44])/4 - 
       (3*t[45])/2 + t[47]/2 - (77*t[48])/16 + (5*t[49])/6 - (67*t[50])/48 - 
       (3*t[51])/4 + (43*t[52])/48 - (13*t[53])/6 - (517*t[54])/48 - 
       (4*t[59])/3 - (607*t[60])/24 - (911*t[61])/24 + (985*t[62])/48 + 
       (719*t[63])/48 + (515*t[64])/16 - (133*t[65])/24 + (689*t[66])/72 - 
       (4*t[70])/3 + (4*t[71])/3 - 3*t[72] - t[74] - t[76]/6 - t[77]/3 + 
       (8*t[78])/3 - t[80] - (4*t[81])/3 + t[82]/3 - t[83]/3 - (53*t[84])/8 + 
       (23*t[85])/24 + 2*t[86] + (185*t[87])/24 - (37*t[88])/16 - 
       (107*t[89])/16 + 2*t[95] + t[96]/3 - 2*t[97] + 4*t[98] + 18*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-t[1] - (9*t[2])/2 + (173*t[3])/8 - (93*t[4])/2 + (87*t[5])/8 + 
       (171*t[6])/16 - (73*t[7])/4 + (65*t[8])/4 + (5*t[9])/2 - 23*t[10] - 
       (311*t[11])/16 + (53*t[12])/8 - (197*t[13])/18 - (187*t[14])/16 - 
       (3443*t[15])/144 - t[17]/2 - 24*t[20] + 2*t[22] - 3*t[23] + 11*t[24] + 
       2*t[27] + 4*t[28] + t[29]/2 - 16*t[30] - 4*t[31] - 3*t[32] + 6*t[33] - 
       12*t[34] - 4*t[35] + 2*t[36] + 2*t[37] - 2*t[38] + 6*t[39] - 8*t[40] + 
       7*t[41] - 6*t[42] + (5*t[43])/2 + (5*t[44])/4 - (3*t[45])/2 + t[46] + 
       24*t[47] + (121*t[48])/16 - (41*t[49])/4 - (443*t[50])/16 - t[51]/4 + 
       (587*t[52])/16 + (41*t[53])/4 + (339*t[54])/16 + 4*t[57] + 
       (13*t[59])/2 - (147*t[60])/8 - (357*t[61])/8 - (385*t[62])/16 - 
       (1079*t[63])/16 + (2299*t[64])/16 + (181*t[65])/8 - (403*t[66])/24 + 
       (3*t[68])/2 - 4*t[69] + 2*t[72] + 8*t[73] + 10*t[74] - 2*t[75] + 
       (55*t[76])/2 - 2*t[77] - 41*t[78] + 10*t[79] + 30*t[80] + 
       (5*t[81])/2 + (7*t[82])/2 - 28*t[83] + (55*t[84])/8 + (89*t[85])/8 + 
       35*t[86] + (3*t[87])/8 + (3*t[88])/16 - (63*t[89])/16 - (3*t[90])/2 - 
       2*t[93] + t[97] + 96*t[98] - 200*t[99] + 18*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (2*t[1] - (11*t[2])/2 - (55*t[3])/4 + (5*t[4])/2 - (131*t[5])/4 - 
       (249*t[6])/16 + (209*t[7])/4 - (139*t[8])/2 + (441*t[9])/8 + t[10]/4 + 
       (681*t[11])/16 - 4*t[12] - (15*t[13])/4 + (745*t[14])/16 - 
       (935*t[15])/144 - 4*t[27] + 12*t[28] - 9*t[30] - 2*t[31] + 2*t[32] - 
       2*t[33] - 2*t[34] - 6*t[35] - 2*t[36] + t[38] + 5*t[39] - 2*t[40] + 
       t[41] - t[42] + (17*t[43])/4 + 15*t[44] - (13*t[45])/2 + 15*t[47] - 
       (183*t[48])/16 + t[49] + (261*t[50])/16 + (5*t[51])/8 - 
       (293*t[52])/16 + 3*t[53] - (265*t[54])/16 + t[59] + (339*t[60])/8 + 
       (613*t[61])/8 - (1173*t[62])/16 + (109*t[63])/16 - (71*t[64])/16 - 
       (1213*t[65])/24 - (825*t[66])/8 - 2*t[68] + 4*t[72] + 10*t[73] - 
       2*t[75] + (25*t[76])/2 - 28*t[78] - 12*t[79] + 30*t[80] + 
       (25*t[81])/2 - (49*t[82])/2 - 22*t[83] + (31*t[84])/8 + (9*t[85])/8 + 
       6*t[86] - (53*t[87])/8 - (53*t[88])/16 - (335*t[89])/16 + 4*t[96] + 
       4*t[97] + 96*t[98] - 200*t[99] + 18*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((25*t[1])/8 - (125*t[2])/48 + (1687*t[3])/48 + (187*t[4])/8 + 
       (1637*t[5])/96 - (201*t[6])/8 - (787*t[7])/48 + (157*t[8])/24 - 
       (6845*t[9])/96 - (163*t[10])/48 + (169*t[11])/6 - (559*t[12])/96 + 
       (211*t[13])/54 - (12371*t[14])/288 + (11941*t[15])/1728 - 
       (4*t[18])/3 + (5*t[20])/3 + 2*t[22] - t[24]/2 + t[27]/2 + 
       (7*t[28])/2 + (85*t[29])/8 + (215*t[30])/12 + t[31]/3 + 
       (349*t[32])/48 - (55*t[33])/6 - (85*t[34])/4 + (11*t[35])/3 - 
       (13*t[36])/12 - (8*t[37])/3 + (25*t[38])/6 - (23*t[39])/12 + 
       (463*t[40])/48 + t[41]/8 - t[42]/8 + (29*t[43])/24 + (97*t[44])/48 + 
       (143*t[45])/12 - t[46]/8 - (27*t[47])/2 + (575*t[48])/48 - 
       (77*t[49])/48 - (5*t[50])/16 + (151*t[51])/48 - (565*t[52])/48 + 
       (269*t[53])/48 - (823*t[54])/48 - (5*t[59])/8 - (3095*t[60])/48 + 
       (1199*t[61])/48 + (97*t[62])/3 + (2207*t[63])/48 - (32*t[64])/3 + 
       (40*t[65])/9 + (203*t[66])/3 - t[67]/4 + (3*t[69])/2 + t[70]/3 - 
       t[71]/3 - (10*t[72])/3 - 10*t[73] - (35*t[74])/12 + 25*t[75] - 
       (31*t[76])/6 + 3*t[77] + (31*t[78])/6 + (5*t[79])/2 - (8*t[80])/3 - 
       (37*t[81])/4 + (13*t[82])/3 - (81*t[83])/4 - (343*t[84])/12 - 
       (83*t[85])/2 - (50*t[86])/3 + (1013*t[87])/48 + (341*t[88])/96 - 
       (313*t[89])/24 + (14*t[95])/3 + (37*t[96])/6 + (5*t[97])/12 - 
       21*t[98] + 31*t[99] + 18*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      Omega2[v, w, u]*(t[1] - (11*t[2])/4 - (16*t[3])/3 + (35*t[4])/3 - 
       (71*t[5])/6 - (37*t[6])/8 + (21*t[7])/4 - (77*t[8])/6 + (27*t[9])/4 + 
       4*t[10] + (7*t[11])/24 - (47*t[12])/6 + (37*t[13])/12 + 
       (199*t[14])/72 - (21*t[15])/8 - t[20]/3 - 3*t[28] - (17*t[29])/6 - 
       (7*t[30])/6 - 2*t[31] - (5*t[32])/2 + (11*t[33])/6 - 5*t[34] - 
       5*t[35] - t[36] + 2*t[38] + 3*t[40] - t[43]/2 - (7*t[44])/6 + 
       7*t[45] - 5*t[47] - (53*t[48])/8 - (23*t[49])/6 + (35*t[50])/24 + 
       (35*t[51])/12 - (179*t[52])/24 + (23*t[53])/6 + (37*t[54])/24 + 
       t[59]/12 + (307*t[60])/12 + 16*t[61] - (143*t[62])/24 - 
       (901*t[63])/24 - (431*t[64])/12 - (103*t[65])/9 - (139*t[66])/6 - 
       2*t[72] - 2*t[73] + (11*t[74])/3 - 7*t[75] - 7*t[76] + t[77] + 
       5*t[78] + 2*t[79] - 8*t[80] - (4*t[81])/3 - (2*t[82])/3 + 2*t[83] + 
       14*t[84] + (19*t[85])/6 - 14*t[86] + (11*t[87])/4 + (85*t[88])/24 + 
       (449*t[89])/24 - (16*t[95])/3 - t[97] - 48*t[98] + 48*t[99] + 
       18*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((7*t[1])/4 + (53*t[2])/12 - (439*t[3])/6 - 
       (55*t[4])/2 - (137*t[5])/4 + (463*t[6])/8 - (295*t[7])/6 + 
       (1165*t[8])/6 + (51*t[9])/2 + (149*t[10])/6 - (1667*t[11])/24 + 
       t[12]/6 - (2233*t[13])/108 + (1199*t[14])/72 - (142*t[15])/27 + 
       t[19] + t[20]/3 + t[21] + t[22] - t[23] - (2*t[24])/3 + 4*t[25] - 
       2*t[26] + (10*t[27])/3 - (8*t[29])/3 - 9*t[30] - 4*t[31] + 
       (103*t[32])/6 + (2*t[33])/3 - (25*t[34])/6 + 4*t[35] - 4*t[36] - 
       (5*t[37])/3 - (4*t[38])/3 - (8*t[39])/3 - (5*t[40])/6 + 
       (11*t[41])/12 - (11*t[42])/12 + (2*t[43])/3 - 11*t[44] + 15*t[45] + 
       3*t[46] - 9*t[47] + (343*t[48])/8 - (64*t[49])/3 - (439*t[50])/24 + 
       9*t[51] + (475*t[52])/24 + (38*t[53])/3 + (1583*t[54])/24 + t[59]/12 + 
       (356*t[60])/3 - (2*t[61])/3 + (319*t[62])/24 - (3283*t[63])/24 + 
       (71*t[64])/2 + (743*t[65])/12 + (481*t[66])/18 + (16*t[70])/3 - 
       (16*t[71])/3 + 7*t[72] + 4*t[73] + 6*t[74] - 2*t[75] - (137*t[76])/6 + 
       t[77]/3 + (197*t[78])/6 + 11*t[79] + 8*t[80] - (5*t[81])/3 - 
       (4*t[82])/3 - (50*t[83])/3 + (207*t[84])/4 + (107*t[85])/12 + 
       5*t[86] + (257*t[87])/12 + (287*t[88])/8 + (281*t[89])/4 - 12*t[95] - 
       (49*t[96])/3 - (5*t[97])/2 - 148*t[98] + 128*t[99] + 19*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((47*t[1])/24 + (1997*t[2])/144 - (20*t[3])/3 + (439*t[4])/24 - 
       (79*t[5])/6 - (11515*t[6])/384 + (95*t[7])/8 - (5363*t[8])/96 + 
       (3499*t[9])/192 + (195*t[10])/16 + (3209*t[11])/128 - (733*t[12])/96 + 
       (3317*t[13])/144 + (791*t[14])/128 - (2021*t[15])/128 + t[18]/6 - 
       t[20]/3 - t[22] + (11*t[23])/6 + (7*t[24])/6 - t[27]/2 + 2*t[28] - 
       (89*t[29])/8 + (7*t[30])/3 - (31*t[31])/6 + (51*t[32])/16 - 
       (13*t[33])/4 + 3*t[34] - (41*t[35])/3 + (7*t[36])/12 + t[37]/6 + 
       (31*t[38])/12 + (47*t[39])/12 + (49*t[40])/48 + (3*t[41])/8 - 
       (3*t[42])/8 + (5*t[43])/12 - (47*t[44])/16 + (97*t[45])/12 + 
       (5*t[46])/8 - (43*t[47])/12 - (11501*t[48])/384 - (131*t[49])/48 + 
       (85*t[50])/128 + (145*t[51])/48 - (1141*t[52])/128 + (227*t[53])/48 - 
       (7843*t[54])/384 - (221*t[59])/36 + (10663*t[60])/192 + 
       (13*t[61])/192 - (16409*t[62])/384 - (25727*t[63])/384 - 
       (1997*t[64])/128 - (2831*t[65])/64 - (68929*t[66])/576 + t[67]/8 - 
       t[69]/2 - (5*t[70])/6 + (5*t[71])/6 - (10*t[72])/3 - 3*t[73] - 
       t[74]/2 - 4*t[75] - 2*t[76] + (3*t[77])/2 - (29*t[78])/12 - 
       (10*t[79])/3 - (11*t[80])/2 + (241*t[81])/24 - (155*t[82])/24 + 
       (65*t[83])/12 + (1549*t[84])/192 - (527*t[85])/192 - (53*t[86])/6 + 
       (245*t[87])/64 + (527*t[88])/384 + (1207*t[89])/128 - 3*t[95] + 
       (10*t[96])/3 + t[97]/2 - 26*t[98] + 24*t[99] + (39*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((41*t[2])/24 + (23*t[3])/3 - (47*t[4])/24 - (7*t[5])/2 + 
       (169*t[6])/24 + (17*t[7])/4 + (223*t[8])/8 - (409*t[9])/24 - 
       (499*t[10])/48 - (55*t[11])/6 + (145*t[12])/48 - (289*t[13])/36 - 
       (3221*t[14])/288 + (1421*t[15])/216 - t[18] + (2*t[20])/3 - t[22] - 
       (11*t[28])/3 + (5*t[29])/6 + (15*t[30])/4 + (115*t[32])/12 - 
       (59*t[33])/12 - t[34]/3 + 10*t[35] - t[37] - t[41]/2 + t[42]/2 + 
       (9*t[44])/2 - t[47] + (23*t[48])/12 + (5*t[49])/48 - (7*t[50])/24 + 
       (73*t[51])/96 + (7*t[52])/24 - (5*t[53])/48 + (10*t[54])/3 + 
       (25*t[59])/12 - (93*t[60])/8 - (35*t[61])/3 + (499*t[62])/16 + 
       (1379*t[63])/48 - (865*t[64])/24 + (191*t[65])/24 + (559*t[66])/8 + 
       t[67]/2 + 4*t[69] - (23*t[73])/2 - (17*t[74])/2 + (53*t[75])/2 - 
       (15*t[79])/2 + t[80] - (9*t[81])/4 + (9*t[82])/4 - (13*t[83])/3 - 
       (113*t[84])/24 - (47*t[85])/12 - (25*t[86])/6 + (15*t[87])/8 + 
       (15*t[88])/16 - (33*t[89])/16 + 4*t[99] + 20*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((25*t[3])/8 + (715*t[5])/48 + (107*t[6])/24 - (509*t[7])/24 + 
       (265*t[8])/12 - (285*t[9])/16 + (31*t[10])/24 - (13*t[11])/4 - 
       (277*t[12])/48 + (83*t[13])/24 + (199*t[14])/72 + (1445*t[15])/864 + 
       (41*t[28])/6 - (23*t[29])/8 + (9*t[30])/2 + (13*t[43])/8 - 
       (307*t[44])/24 + (13*t[45])/4 - (13*t[47])/2 + (109*t[48])/12 + 
       (13*t[49])/8 - (227*t[50])/24 - (13*t[51])/16 + (227*t[52])/24 - 
       (13*t[53])/8 + (53*t[54])/24 + (43*t[60])/6 - (83*t[61])/4 + 
       (1043*t[62])/48 - (643*t[63])/48 - (29*t[64])/24 - (301*t[65])/72 + 
       (233*t[66])/72 - (23*t[73])/2 + (55*t[75])/2 - (7*t[79])/2 + t[81]/2 - 
       t[82]/2 - (29*t[83])/6 - (29*t[84])/8 - (15*t[85])/8 - (37*t[86])/6 - 
       (23*t[87])/3 - (23*t[88])/6 + (27*t[89])/4 + 4*t[99] + 20*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((-3*t[1])/2 + (97*t[2])/48 - (815*t[3])/48 - (491*t[4])/24 - 
       (749*t[5])/48 - (3239*t[6])/192 + (2881*t[7])/48 - (337*t[8])/8 + 
       (3823*t[9])/96 - (123*t[10])/16 - (667*t[11])/64 - (269*t[12])/48 - 
       (28853*t[13])/864 + (5141*t[14])/192 + (6085*t[15])/576 - t[19] + 
       t[20] + t[21] + t[22]/2 - t[24]/6 + t[25]/2 + t[27]/6 - (71*t[28])/6 + 
       (19*t[29])/12 - (65*t[30])/12 - t[31]/2 + 6*t[32] - (37*t[33])/6 + 
       t[34]/6 + 2*t[35] + t[36] + (23*t[37])/12 - (5*t[38])/12 - 
       (85*t[39])/12 + (167*t[40])/24 - (25*t[41])/24 + (13*t[42])/24 + 
       (11*t[43])/24 - (11*t[44])/6 + (25*t[45])/12 - t[46]/4 - (5*t[47])/2 - 
       (727*t[48])/64 - 7*t[49] + (7271*t[50])/192 + (179*t[51])/48 - 
       (7495*t[52])/192 + (11*t[53])/3 - (617*t[54])/64 + t[59] + 
       (403*t[60])/96 + (659*t[61])/32 - (4741*t[62])/192 + 
       (12869*t[63])/192 - (12527*t[64])/192 - (565*t[65])/288 + 
       (18817*t[66])/288 + (7*t[70])/6 - (7*t[71])/6 + t[72]/6 - 5*t[73] + 
       (31*t[74])/12 - 20*t[75] - (193*t[76])/12 - (47*t[77])/12 + 
       (115*t[78])/6 + (7*t[79])/2 - (13*t[80])/3 - (289*t[81])/24 + 
       (155*t[82])/24 + (59*t[83])/2 + (1103*t[84])/96 + (569*t[85])/96 + 
       (80*t[86])/3 - (389*t[87])/96 + (425*t[88])/64 - (821*t[89])/64 - 
       (49*t[95])/6 - (43*t[96])/6 - (5*t[97])/2 - 74*t[98] + (139*t[99])/2 + 
       (81*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*(t[1]/4 + (7*t[2])/24 - (691*t[3])/96 + 
       (37*t[4])/24 + (953*t[5])/96 + (211*t[6])/192 - (1291*t[7])/48 + 
       (535*t[8])/24 - (1303*t[9])/48 + (35*t[10])/8 + (337*t[11])/192 - 
       (1171*t[12])/96 + (1061*t[13])/864 + (3787*t[14])/576 + 
       (3481*t[15])/576 + t[19] + t[20]/12 + t[21] + t[22]/2 - t[23] - 
       t[24]/3 + t[25]/2 + t[27]/6 - (103*t[28])/12 - (65*t[29])/24 - 
       (163*t[30])/12 + t[31]/4 - (7*t[32])/2 + (35*t[33])/12 - 7*t[34] - 
       (3*t[35])/2 - t[36] - (4*t[37])/3 + t[38]/3 - (55*t[39])/12 + 
       (101*t[40])/24 + (7*t[41])/12 - t[42]/12 + t[43]/12 - (487*t[44])/48 + 
       (17*t[45])/2 - t[46]/4 - (29*t[47])/4 + (541*t[48])/192 - 
       (21*t[49])/4 - (157*t[50])/64 + (155*t[51])/48 + (29*t[52])/64 + 
       (29*t[53])/12 + (191*t[54])/192 + (71*t[59])/24 + (1085*t[60])/32 + 
       (1439*t[61])/96 - (2245*t[62])/192 - (10435*t[63])/192 - 
       (4073*t[64])/192 - (8059*t[65])/288 - (7189*t[66])/288 + (3*t[69])/4 + 
       t[70]/6 - t[71]/6 - t[72]/2 - 5*t[73] + (79*t[74])/12 - (65*t[75])/4 - 
       (79*t[76])/6 + (23*t[77])/12 + (53*t[78])/3 + (3*t[79])/2 - 
       (21*t[80])/4 - (35*t[81])/4 - (11*t[82])/4 + (141*t[83])/8 + 
       (1475*t[84])/96 - (49*t[85])/96 - (23*t[86])/6 - (835*t[87])/96 + 
       (685*t[88])/192 + (2069*t[89])/192 - (49*t[95])/6 - (11*t[96])/3 - 
       (7*t[97])/4 - 74*t[98] + (139*t[99])/2 + (81*t[100])/4) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      ((-701*t[2])/288 - (301*t[3])/72 - (55*t[4])/72 - (541*t[5])/96 - 
       (137*t[6])/36 + (97*t[7])/96 - (427*t[8])/96 + (391*t[9])/72 + 
       (1907*t[10])/288 - (691*t[11])/144 - (259*t[12])/144 - 
       (881*t[13])/216 + (491*t[14])/864 - (6863*t[15])/2592 + t[20]/36 + 
       t[22]/2 - t[23]/12 - t[24]/12 + (19*t[28])/18 + (59*t[29])/36 + 
       (19*t[30])/24 + (7*t[31])/12 + (143*t[32])/36 - (239*t[33])/72 + 
       (55*t[34])/36 + (15*t[35])/4 - t[36]/2 + t[37]/2 + t[41]/4 - t[42]/4 + 
       t[43]/4 - (7*t[44])/4 + t[46]/4 + t[47]/2 + (11*t[48])/72 + 
       (77*t[49])/72 + (383*t[50])/144 - (25*t[51])/72 - (383*t[52])/144 - 
       (77*t[53])/72 - (163*t[54])/144 - (67*t[59])/144 - (73*t[60])/24 - 
       (1693*t[61])/144 - (79*t[62])/48 + (427*t[63])/144 + 
       (2761*t[64])/288 - (19*t[65])/18 + (241*t[66])/72 - t[69]/2 - 
       t[72]/2 - (5*t[73])/12 - (31*t[74])/24 + (13*t[75])/4 + (3*t[76])/4 - 
       (55*t[79])/24 - t[80]/2 + (23*t[81])/24 - (35*t[82])/24 + 
       (55*t[83])/36 - (59*t[84])/36 + (149*t[85])/144 + (271*t[86])/72 - 
       t[87]/24 - t[88]/48 - (5*t[89])/4 - 4*t[99] + (251*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-21*t[2])/8 + (53*t[3])/16 - 5*t[4] + (275*t[5])/36 - 
       (215*t[6])/288 - (647*t[7])/36 + (143*t[8])/36 - (631*t[9])/48 + 
       (16*t[10])/9 - (293*t[11])/32 - (5*t[12])/36 - (79*t[13])/72 - 
       (9793*t[14])/864 - (373*t[15])/81 + t[20]/4 - t[22]/2 + 
       (19*t[28])/18 + (10*t[29])/3 - (9*t[30])/4 + (2*t[31])/3 + 
       (3*t[32])/8 + (5*t[35])/6 + t[36]/2 + t[37]/2 - t[40] + t[41]/4 - 
       t[42]/4 - (121*t[44])/36 - t[46]/4 + t[47]/2 + (2479*t[48])/288 - 
       (11*t[49])/8 - (2257*t[50])/288 + t[51]/2 + (2257*t[52])/288 + 
       (11*t[53])/8 + (685*t[54])/288 + (637*t[60])/144 - (1231*t[61])/48 + 
       (3659*t[62])/288 - (5539*t[63])/288 + (7769*t[64])/288 - 
       (1015*t[65])/432 + (767*t[66])/432 + t[69]/4 + t[72]/6 + 
       (11*t[75])/3 + 2*t[76] + t[79] - t[80]/2 - t[81]/4 + (7*t[82])/4 - 
       (157*t[83])/72 - (31*t[84])/48 - (13*t[85])/48 - (101*t[86])/18 - 
       (61*t[87])/144 - (61*t[88])/288 + (95*t[89])/32 - 4*t[99] + 
       (251*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*(t[1] + (7*t[2])/2 + (19*t[3])/8 - (3*t[4])/2 - 
       (37*t[5])/2 - (67*t[6])/8 + (103*t[7])/4 - (11*t[8])/4 + (47*t[9])/2 - 
       (9*t[10])/4 - (61*t[11])/8 - (11*t[12])/2 - (593*t[13])/72 + 
       (29*t[14])/12 - (913*t[15])/144 - 2*t[20] - 2*t[28] + (9*t[29])/2 - 
       t[30]/2 - 3*t[31] + 3*t[32] - (5*t[33])/2 - 5*t[34] - 8*t[35] + 
       2*t[36] + 2*t[38] + (9*t[40])/2 + t[43] - (5*t[44])/2 + 7*t[45] - 
       5*t[47] - (67*t[48])/8 - (23*t[49])/4 + (77*t[50])/8 + (31*t[51])/8 - 
       (125*t[52])/8 + (23*t[53])/4 + (25*t[54])/8 - 2*t[59] + (69*t[60])/4 + 
       (17*t[61])/4 - (155*t[62])/8 - (105*t[63])/8 - (141*t[64])/8 - 
       (35*t[65])/6 + (73*t[66])/6 - 2*t[69] - 3*t[72] - 2*t[73] - 4*t[75] - 
       10*t[76] - 2*t[77] + 2*t[78] + 2*t[79] - 2*t[80] - 4*t[81] + 2*t[82] + 
       3*t[83] + (19*t[84])/2 + t[85] + 18*t[86] + (7*t[87])/2 + 
       (13*t[88])/4 + (119*t[89])/8 - 4*t[95] - t[97] - 48*t[98] + 48*t[99] + 
       21*t[100]) + HPL[{1}, 1 - u]^2*Qep[u, w, v]*
      ((196*t[3])/3 + (1294*t[5])/9 - (1004*t[6])/9 - (544*t[7])/9 - 
       (2852*t[8])/9 - (278*t[9])/3 - (4*t[10])/9 + 112*t[11] + (2*t[12])/9 + 
       (188*t[13])/3 - (3010*t[14])/27 - (2969*t[15])/81 + (112*t[28])/9 - 
       12*t[29] - (80*t[30])/3 + (32*t[31])/3 + (64*t[35])/3 - 16*t[40] + 
       (244*t[44])/9 + (40*t[48])/9 - (196*t[50])/9 + (196*t[52])/9 - 
       (1004*t[54])/9 + (992*t[60])/9 - (496*t[61])/3 - (358*t[62])/9 - 
       (1642*t[63])/9 + (872*t[64])/9 - (4364*t[65])/27 - (9716*t[66])/27 + 
       (32*t[72])/3 + (16*t[73])/3 + (112*t[75])/3 + 32*t[76] - 
       (16*t[79])/3 - (112*t[83])/9 - (52*t[84])/3 - (52*t[85])/3 + 
       (16*t[86])/9 - (272*t[87])/9 - (136*t[88])/9 - 112*t[89] + 
       (64*t[100])/3) + HPL[{1}, 1 - w]^2*Qep[w, u, v]*
      ((32*t[2])/3 + (80*t[3])/9 + (20*t[4])/9 + 32*t[5] - (208*t[6])/9 + 
       (28*t[7])/3 - 56*t[8] + (40*t[9])/9 - (106*t[10])/9 + (196*t[11])/9 - 
       (98*t[12])/9 + (100*t[13])/27 - (151*t[14])/27 - (698*t[15])/81 + 
       (32*t[20])/9 + (32*t[23])/3 + (32*t[24])/3 + (64*t[28])/9 + 
       (16*t[29])/9 - (8*t[30])/3 - (32*t[31])/3 + (184*t[32])/9 - 
       (152*t[33])/9 + (32*t[34])/9 - (64*t[35])/3 - (16*t[44])/3 + 
       (44*t[48])/9 + (26*t[49])/9 + (136*t[50])/9 - (13*t[51])/9 - 
       (136*t[52])/9 - (26*t[53])/9 - (260*t[54])/9 - (16*t[59])/9 + 
       4*t[60] - (224*t[61])/9 + 10*t[62] + (182*t[63])/9 - (80*t[64])/9 - 
       (92*t[65])/3 - (140*t[66])/9 - (16*t[73])/3 + (80*t[75])/3 + 
       (8*t[81])/3 - (8*t[82])/3 - (208*t[83])/9 - (124*t[84])/9 - 
       (152*t[85])/9 - (128*t[86])/9 - (68*t[87])/3 - (34*t[88])/3 - 
       (122*t[89])/3 + (64*t[100])/3) + HPL[{1}, 1 - w]^2*Qep[u, w, v]*
      ((-188*t[2])/9 + (224*t[3])/9 - (88*t[4])/9 - (88*t[5])/3 + 
       (296*t[6])/9 + (52*t[7])/3 + (164*t[8])/3 + (244*t[9])/9 + 
       (104*t[10])/9 - (416*t[11])/9 + (88*t[12])/9 - (692*t[13])/27 - 
       (934*t[14])/27 - (182*t[15])/81 + (32*t[20])/9 - (32*t[23])/3 - 
       (32*t[24])/3 + (64*t[28])/9 + (160*t[29])/9 + (16*t[30])/3 + 
       (32*t[31])/3 + (112*t[32])/9 - (80*t[33])/9 + (32*t[34])/9 + 
       32*t[35] + 32*t[44] + (176*t[48])/9 - (28*t[49])/9 + (40*t[50])/9 + 
       (14*t[51])/9 - (40*t[52])/9 + (28*t[53])/9 + (352*t[54])/9 + 
       (88*t[59])/9 - (184*t[60])/3 - (80*t[61])/9 + (124*t[62])/3 + 
       (716*t[63])/9 - (80*t[64])/9 + (440*t[65])/9 + (1432*t[66])/9 + 
       (32*t[73])/3 - (16*t[74])/3 + 32*t[75] - (16*t[79])/3 - (16*t[81])/3 + 
       (16*t[82])/3 - (256*t[83])/9 - (88*t[84])/9 - (32*t[85])/9 + 
       (16*t[86])/9 + (8*t[87])/3 + (4*t[88])/3 - 20*t[89] + (64*t[100])/3) + 
     HPL[{1}, 1 - u]^2*Qep[w, u, v]*(-40*t[3] - (704*t[5])/9 - (68*t[6])/9 + 
       (1328*t[7])/9 - (1040*t[8])/9 + (328*t[9])/3 + (32*t[10])/9 + 
       4*t[11] - (16*t[12])/9 - (112*t[13])/3 + (1508*t[14])/27 + 
       (2224*t[15])/81 + (64*t[28])/9 - (64*t[29])/3 + 32*t[30] - 
       (32*t[31])/3 - (64*t[35])/3 + 16*t[40] + (448*t[44])/9 - 
       (380*t[48])/9 + (692*t[50])/9 - (692*t[52])/9 - (68*t[54])/9 - 
       (664*t[60])/9 + (376*t[61])/3 - (556*t[62])/9 + (1964*t[63])/9 - 
       (1756*t[64])/9 + (1096*t[65])/27 + (4120*t[66])/27 - (32*t[72])/3 + 
       (64*t[75])/3 - 32*t[76] - (352*t[83])/9 - (8*t[84])/3 - (8*t[85])/3 - 
       (128*t[86])/9 + (88*t[87])/9 + (44*t[88])/9 - 4*t[89] + 
       (64*t[100])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*((-7*t[1])/16 - (5*t[2])/48 + (197*t[3])/32 - 
       (811*t[4])/96 + (313*t[5])/96 - (509*t[6])/96 + (565*t[7])/96 - 
       (665*t[8])/48 + (5*t[9])/48 - (169*t[10])/64 - (433*t[11])/48 + 
       (73*t[12])/192 - (229*t[13])/36 - (8023*t[14])/1152 - (61*t[15])/24 + 
       t[20]/3 - t[22]/4 + t[24]/4 - t[27]/4 - (7*t[28])/6 - (13*t[29])/12 + 
       (79*t[30])/48 + t[31]/3 + (41*t[32])/32 - (49*t[33])/48 + 
       (23*t[34])/12 + (13*t[35])/6 + (3*t[36])/8 + t[37]/4 - (5*t[38])/16 - 
       (11*t[39])/16 - (3*t[40])/32 - t[41]/8 + t[42]/8 + (3*t[43])/8 + 
       (391*t[44])/96 - (9*t[45])/8 - (3*t[46])/16 + (3*t[47])/4 - 
       (35*t[48])/8 - (77*t[49])/192 + (29*t[50])/8 + (47*t[51])/384 - 
       (21*t[52])/8 - (67*t[53])/192 - (83*t[54])/32 - (29*t[59])/48 - 
       (1193*t[60])/96 - (167*t[61])/8 + (185*t[62])/32 + (1501*t[63])/96 + 
       (703*t[64])/64 + (1997*t[65])/288 + (1877*t[66])/96 + t[69]/4 + 
       t[72]/12 + t[73]/12 - (9*t[74])/8 - t[75]/2 - t[76]/2 - (9*t[77])/8 - 
       t[78]/2 + (2*t[79])/3 + (7*t[80])/4 - (13*t[81])/16 + (43*t[82])/16 + 
       (17*t[83])/24 - (53*t[84])/32 + (109*t[85])/48 + (31*t[86])/4 + 
       (419*t[87])/96 + (431*t[88])/192 - (995*t[89])/192 + t[95]/2 - 
       (9*t[96])/8 - (3*t[97])/4 - (9*t[98])/2 + (3*t[99])/2 + 
       (87*t[100])/4) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      ((-38*t[2])/3 + (77*t[3])/24 - (253*t[4])/12 - (47*t[5])/6 - t[6]/24 + 
       (113*t[7])/12 - (305*t[8])/12 + (17*t[9])/6 - (17*t[10])/24 - 
       (475*t[11])/24 + (61*t[12])/8 - (2981*t[13])/216 - (215*t[14])/144 - 
       (1067*t[15])/432 + t[20] - t[22] - (2*t[24])/3 + (2*t[27])/3 - 
       2*t[28] - (17*t[29])/6 - (16*t[30])/3 + 2*t[31] - (5*t[32])/6 + 
       (10*t[33])/3 + 2*t[35] + t[36] - (4*t[37])/3 - (2*t[38])/3 - t[39]/3 - 
       (8*t[40])/3 + t[41]/3 - t[42]/3 - t[43]/6 + (95*t[44])/12 - 
       (14*t[45])/3 - t[46]/2 + 4*t[47] - (61*t[48])/8 - (21*t[49])/8 + 
       (55*t[50])/8 + (29*t[51])/48 - (37*t[52])/24 + (31*t[53])/24 + 
       (13*t[54])/8 + (5*t[59])/3 - (5*t[60])/12 - (119*t[61])/6 + 
       (145*t[62])/24 + (607*t[63])/24 - t[64]/12 + (5*t[65])/36 + 
       (1039*t[66])/36 + t[69] + (2*t[70])/3 - (2*t[71])/3 - (13*t[72])/3 - 
       t[74] - t[75] + (5*t[76])/3 - (2*t[77])/3 - (25*t[78])/3 + 4*t[79] + 
       (23*t[80])/3 - 4*t[81] + (20*t[82])/3 - (5*t[83])/6 - t[84]/3 + 
       (67*t[85])/6 - 4*t[86] - (38*t[87])/3 - 3*t[88] - (235*t[89])/24 - 
       2*t[95] - (8*t[96])/3 + 16*t[98] - 20*t[99] + 22*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-31*t[1])/12 - (781*t[2])/36 + (15499*t[3])/288 + (1535*t[4])/72 + 
       (3751*t[5])/144 - (20773*t[6])/576 - (3323*t[7])/144 - 
       (7925*t[8])/72 - (18233*t[9])/288 - (509*t[10])/144 + 
       (11501*t[11])/576 - (271*t[12])/24 + (107231*t[13])/2592 - 
       (110533*t[14])/1728 + (32071*t[15])/2592 - (2*t[16])/3 + (7*t[17])/6 + 
       2*t[19] - 7*t[20] - 6*t[21] + 2*t[22] + 6*t[23] - (31*t[24])/9 - 
       (5*t[25])/3 + (5*t[26])/2 - (17*t[27])/9 - (5*t[28])/6 + 
       (107*t[29])/72 + (161*t[30])/18 - (7*t[31])/3 - (2071*t[32])/72 + 
       (89*t[33])/9 + 7*t[34] + (5*t[35])/3 - (23*t[36])/6 - (62*t[37])/9 - 
       (53*t[38])/18 - (259*t[39])/18 + (617*t[40])/36 - (205*t[41])/36 + 
       (205*t[42])/36 + (2*t[43])/9 - (275*t[44])/144 - (95*t[45])/18 + 
       (9*t[46])/2 - (19*t[47])/6 - (935*t[48])/64 - (481*t[49])/48 + 
       (31*t[50])/192 + (929*t[51])/288 - (11197*t[52])/576 - 
       (125*t[53])/144 - (2453*t[54])/64 - (7*t[55])/6 + (7*t[58])/6 - 
       (11*t[59])/36 - (21395*t[60])/288 - (14227*t[61])/288 + 
       (37303*t[62])/576 - (23567*t[63])/576 + (37165*t[64])/576 - 
       (60175*t[65])/864 - (4037*t[66])/864 - (44*t[70])/9 + (44*t[71])/9 - 
       (5*t[72])/9 + (2*t[73])/3 + (7*t[74])/6 - (2*t[75])/3 - 
       (145*t[76])/18 - (22*t[77])/9 + (167*t[78])/18 + (40*t[80])/9 - 
       (17*t[81])/4 + (391*t[82])/36 - (55*t[83])/18 - (9751*t[84])/288 - 
       (1459*t[85])/288 + 7*t[86] + (9991*t[87])/288 - (1363*t[88])/192 - 
       (19789*t[89])/576 - (4*t[95])/3 - (49*t[96])/9 - (22*t[97])/3 - 
       (88*t[98])/3 + 24*t[99] + 22*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*((11*t[1])/8 - (73*t[2])/48 - 
       (481*t[3])/48 - (281*t[4])/48 + (215*t[5])/96 + (575*t[6])/192 + 
       (107*t[7])/24 + (497*t[8])/48 + (29*t[9])/12 - (79*t[10])/96 - 
       (1015*t[11])/192 + (27*t[12])/16 - (1817*t[13])/432 + 
       (859*t[14])/288 + (2251*t[15])/864 + t[18]/2 + t[19]/2 - t[21]/2 - 
       t[22]/2 - t[24]/3 - t[27]/6 - t[28] - (5*t[29])/12 - (13*t[30])/6 + 
       t[31] + (61*t[32])/12 - t[33]/12 - (13*t[34])/4 + t[35]/2 - t[36]/2 - 
       (11*t[37])/12 + (11*t[38])/12 - (11*t[39])/12 - (5*t[40])/24 + 
       (5*t[41])/12 - t[42]/6 + (13*t[43])/24 + (11*t[44])/24 + 
       (23*t[45])/12 - t[46]/2 - t[47] + (155*t[48])/64 - (27*t[49])/32 + 
       (175*t[50])/64 + (289*t[51])/192 - (349*t[52])/192 + (113*t[53])/96 + 
       (265*t[54])/64 + (5*t[59])/24 + (1387*t[60])/96 + (473*t[61])/96 - 
       (2537*t[62])/192 - (3791*t[63])/192 - (1991*t[64])/192 - 
       (457*t[65])/288 + (1825*t[66])/288 - t[69]/2 + (4*t[70])/3 - 
       (4*t[71])/3 - (7*t[72])/6 - t[73] + (3*t[74])/4 - (11*t[76])/3 + 
       (23*t[77])/12 + t[78]/12 + 2*t[79] + (16*t[80])/3 - (43*t[81])/8 + 
       (59*t[82])/24 - (5*t[83])/3 + (107*t[84])/96 - (127*t[85])/96 + 
       (9*t[86])/2 - (353*t[87])/96 + (421*t[88])/64 + (689*t[89])/192 - 
       (3*t[95])/2 - (4*t[96])/3 + (5*t[97])/4 - 16*t[98] + 9*t[99] + 
       (45*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((41*t[1])/24 - (517*t[2])/72 + 
       (16711*t[3])/576 + (47*t[4])/9 + (5053*t[5])/288 - (22237*t[6])/1152 - 
       (191*t[7])/288 - (5321*t[8])/144 - (11117*t[9])/576 + (23*t[10])/9 + 
       (12245*t[11])/1152 - (163*t[12])/32 + (45935*t[13])/5184 - 
       (66763*t[14])/3456 - (17063*t[15])/5184 - t[19]/2 - t[20]/2 - 
       t[21]/2 + t[22]/2 + t[23]/2 + (10*t[24])/9 - t[25] - (23*t[27])/18 - 
       (17*t[28])/12 + (359*t[29])/144 + (107*t[30])/36 + (5*t[31])/6 - 
       (1207*t[32])/144 + (23*t[33])/18 + (17*t[34])/6 + (17*t[35])/6 - 
       (9*t[36])/4 - (5*t[37])/18 + (17*t[38])/18 - (5*t[39])/18 + 
       (77*t[40])/72 - t[41]/72 + t[42]/72 + (19*t[43])/36 - 
       (839*t[44])/288 - (56*t[45])/9 - (5*t[46])/12 + (16*t[47])/3 - 
       (3037*t[48])/384 + (91*t[49])/12 - (163*t[50])/128 - (59*t[51])/18 + 
       (731*t[52])/1152 - (181*t[53])/36 - (7279*t[54])/384 - (25*t[59])/36 - 
       (23363*t[60])/576 - (16651*t[61])/576 + (3823*t[62])/1152 + 
       (23161*t[63])/1152 + (42037*t[64])/1152 - (40927*t[65])/1728 - 
       (4949*t[66])/1728 - (19*t[70])/9 + (19*t[71])/9 - (35*t[72])/18 - 
       (5*t[73])/3 - (11*t[74])/12 + (5*t[75])/3 + (62*t[76])/9 + 
       (4*t[77])/9 - (106*t[78])/9 + (113*t[80])/9 - (61*t[81])/24 + 
       (235*t[82])/72 + (65*t[83])/36 - (11167*t[84])/576 - 
       (1795*t[85])/576 + (19*t[86])/2 - (3113*t[87])/576 - 
       (1729*t[88])/128 - (14557*t[89])/1152 + (13*t[95])/3 + (58*t[96])/9 + 
       (3*t[97])/4 + (160*t[98])/3 - 54*t[99] + 23*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w]*((-15*t[2])/2 - (17*t[3])/2 - 
       (85*t[4])/4 + (35*t[5])/8 + 6*t[6] - (97*t[7])/4 + (85*t[8])/4 - 
       (143*t[9])/8 + (25*t[10])/8 - (67*t[11])/2 + 5*t[12] - 
       (811*t[13])/72 - (365*t[14])/48 - (929*t[15])/144 - 2*t[20] + 
       2*t[22] - 6*t[29] - 10*t[30] - 2*t[31] - (7*t[32])/2 + 4*t[33] + 
       4*t[34] + 2*t[36] + 2*t[37] + t[41] - t[42] - t[43] - 9*t[44] - 
       t[46] + 2*t[47] + (7*t[48])/4 - (47*t[49])/8 - (63*t[50])/4 + 
       (35*t[51])/16 + (63*t[52])/4 + (47*t[53])/8 + 20*t[54] - t[59] + 
       (7*t[60])/4 - (123*t[61])/4 + (65*t[62])/8 - (277*t[63])/8 + 
       (637*t[64])/8 + (77*t[65])/12 + (97*t[66])/4 - 2*t[69] + 2*t[72] + 
       2*t[75] - 3*t[76] + 4*t[79] - 2*t[80] - t[81] + 3*t[82] - 7*t[83] + 
       (29*t[84])/4 + (9*t[85])/4 + (35*t[87])/4 + (35*t[88])/8 + 
       (113*t[89])/8 - 16*t[99] + 23*t[100]) + HPL[{0, 1, 1}, 1 - u]*
      Omega2[v, w, u]*((-27*t[2])/2 - 17*t[3] - 2*t[4] - (77*t[5])/2 + 
       (3*t[6])/4 + 15*t[7] + (5*t[8])/2 + 27*t[9] + 16*t[10] - 
       (57*t[11])/4 - (140*t[13])/9 + (49*t[14])/4 - (193*t[15])/18 + t[20] - 
       2*t[22] + t[29] - 2*t[30] - t[31] + (3*t[32])/2 + 4*t[35] - 2*t[36] + 
       2*t[37] + (3*t[40])/2 + t[41] - t[42] + t[44]/2 + t[46] + 2*t[47] - 
       (5*t[48])/4 + (3*t[49])/2 + (27*t[50])/4 - (27*t[52])/4 - 
       (3*t[53])/2 + (45*t[54])/4 - 7*t[60] + (7*t[61])/2 - 45*t[62] - 
       4*t[63] + 56*t[64] + (13*t[65])/2 + (33*t[66])/2 + t[69] + t[72] + 
       2*t[75] - 3*t[76] - 4*t[79] - 2*t[80] + 3*t[81] - 9*t[82] + 
       (25*t[83])/2 + 5*t[84] + (17*t[85])/2 + 34*t[86] + 5*t[87] + 
       (5*t[88])/2 + 16*t[89] - 16*t[99] + 23*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-13*t[1])/4 + (85*t[2])/72 + (1151*t[3])/72 - (169*t[4])/12 + 
       (325*t[5])/24 - t[6]/3 - (2683*t[7])/72 + (515*t[8])/36 - 
       (133*t[9])/4 - (913*t[10])/72 - (379*t[11])/36 + (287*t[12])/36 + 
       (463*t[13])/648 - (9749*t[14])/432 - (173*t[15])/162 + t[19] + 
       (16*t[20])/9 + t[21] - t[22] - t[23] + (7*t[24])/9 + 2*t[25] - t[26] + 
       (7*t[27])/9 + (41*t[29])/18 - t[30]/3 + (2*t[31])/3 - (143*t[32])/72 - 
       (4*t[33])/9 + (41*t[34])/18 + t[36]/2 + t[37]/9 - (35*t[38])/18 - 
       (25*t[39])/18 - (19*t[40])/36 - (13*t[41])/36 + (13*t[42])/36 + 
       (13*t[43])/18 - (43*t[44])/12 - (19*t[45])/6 + (7*t[46])/6 + 
       (17*t[47])/6 + (41*t[48])/24 - (461*t[49])/72 - (445*t[50])/72 + 
       (55*t[51])/48 + (601*t[52])/72 + (133*t[53])/72 - (43*t[54])/18 - 
       (8*t[59])/9 - (166*t[60])/9 - (3577*t[61])/72 + (2005*t[62])/72 + 
       (857*t[63])/72 + (951*t[64])/16 + (379*t[65])/36 + (1663*t[66])/54 - 
       (8*t[70])/9 + (8*t[71])/9 + t[72]/3 - t[73]/2 - t[74] + t[75]/2 - 
       (37*t[76])/9 - (37*t[77])/18 + (100*t[78])/9 - (10*t[79])/3 + 
       (34*t[80])/3 - (77*t[81])/36 + (83*t[82])/36 - (5*t[83])/9 - 
       (17*t[84])/6 - (41*t[85])/72 + (29*t[86])/3 + (101*t[87])/9 + 
       (7*t[88])/6 - (115*t[89])/24 + (8*t[95])/3 - (31*t[96])/9 - 3*t[97] - 
       (58*t[98])/3 + 14*t[99] + 23*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((-3*t[1])/2 - t[2]/4 - (1895*t[3])/48 - 
       (451*t[4])/24 - (213*t[5])/16 + (5201*t[6])/96 + (3*t[7])/8 + 
       (445*t[8])/8 + (497*t[9])/12 - (419*t[10])/48 - (5525*t[11])/96 - 
       (19*t[12])/12 - (137*t[13])/24 + (1411*t[14])/36 + (6061*t[15])/864 - 
       (13*t[20])/6 - (13*t[28])/3 - (77*t[29])/6 - (33*t[30])/2 - 
       (197*t[32])/24 + (56*t[33])/3 + (139*t[34])/12 - 7*t[35] + t[37] - 
       (3*t[38])/2 - (11*t[39])/4 - 2*t[40] - (3*t[41])/4 + (3*t[42])/4 + 
       t[43]/2 - (11*t[44])/4 - (3*t[45])/4 - (5*t[47])/4 + (299*t[48])/96 - 
       (65*t[49])/48 - (821*t[50])/96 - (7*t[51])/96 + (1397*t[52])/96 - 
       (175*t[53])/48 + (4405*t[54])/96 + (29*t[59])/24 + (1445*t[60])/16 - 
       (1357*t[61])/48 + (489*t[62])/32 - (8839*t[63])/96 - (3731*t[64])/96 + 
       (563*t[65])/48 - (1091*t[66])/48 + t[67]/2 + t[70] - t[71] + 
       (19*t[73])/2 + t[74] - (69*t[75])/2 - (15*t[76])/2 - (3*t[77])/2 + 
       (9*t[78])/4 - t[79]/2 - (3*t[80])/2 + 2*t[81] - 2*t[82] + 
       (58*t[83])/3 + (2185*t[84])/48 + (2519*t[85])/48 - (23*t[86])/6 - 
       (69*t[87])/16 + (427*t[88])/32 + (1729*t[89])/32 - 11*t[95] - 
       9*t[96] - (7*t[97])/4 - 42*t[98] + 30*t[99] + 23*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*((7*t[1])/4 - t[2] - 
       (187*t[3])/4 - t[4]/4 - (1025*t[5])/24 + (2899*t[6])/96 + 
       (499*t[7])/12 + (457*t[8])/6 + (1193*t[9])/16 + (34*t[10])/3 - 
       (1221*t[11])/32 - (121*t[12])/24 - (1217*t[13])/144 + 
       (14573*t[14])/288 + (4891*t[15])/864 + 2*t[20] - (11*t[28])/6 + 
       (37*t[29])/8 - 11*t[30] + (113*t[32])/8 + t[33]/4 - 3*t[34] - 
       4*t[35] + t[37] + (7*t[38])/4 + t[39]/2 + (3*t[40])/2 + (3*t[41])/4 - 
       (3*t[42])/4 + t[43]/2 - (34*t[44])/3 + (35*t[45])/4 - (19*t[47])/4 - 
       (635*t[48])/96 - (7*t[49])/2 + (629*t[50])/96 + (21*t[51])/8 - 
       (965*t[52])/96 + (9*t[53])/2 + (3499*t[54])/96 + t[59]/4 + 
       (3211*t[60])/48 + (541*t[61])/16 - (1141*t[62])/96 - 
       (10927*t[63])/96 - (7159*t[64])/96 + (3545*t[65])/144 - 
       (2761*t[66])/144 - 2*t[69] + (19*t[73])/2 - (3*t[74])/2 - 
       (69*t[75])/2 - (13*t[76])/2 + (3*t[77])/2 - (11*t[78])/2 + 
       (9*t[79])/2 - 4*t[80] - 6*t[81] - (9*t[82])/4 + (137*t[83])/6 + 
       (583*t[84])/16 + (467*t[85])/16 - (29*t[86])/6 + (911*t[87])/48 + 
       (2399*t[88])/96 + (1865*t[89])/32 - 11*t[95] - t[96]/2 + (3*t[97])/2 - 
       42*t[98] + 30*t[99] + 23*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((17*t[1])/8 + (3*t[2])/8 - 
       (327*t[3])/32 - (377*t[4])/48 + (17*t[5])/32 + (721*t[6])/192 + 
       (409*t[7])/24 + (63*t[8])/8 + (33*t[9])/2 - (37*t[10])/32 + 
       (287*t[11])/192 + (85*t[12])/24 - (2813*t[13])/288 + (329*t[14])/48 + 
       (3407*t[15])/1728 + t[19]/2 - t[20]/3 + t[21]/2 - t[22]/2 - 
       (5*t[24])/6 - t[25] + t[26]/2 + t[27] - (7*t[28])/3 + (95*t[29])/24 - 
       (53*t[30])/12 + (2*t[31])/3 + (75*t[32])/16 + (7*t[33])/12 - 
       (9*t[34])/4 + 3*t[35] + (5*t[36])/12 + t[37]/12 + (5*t[38])/6 + 
       (13*t[39])/12 - (35*t[40])/24 + t[41]/2 - t[42]/2 + (5*t[43])/24 - 
       (149*t[44])/48 + t[45] - t[46] - (7*t[47])/12 + (2591*t[48])/192 - 
       (31*t[49])/32 + (499*t[50])/192 + (13*t[51])/192 - (163*t[52])/192 + 
       (135*t[53])/32 + (533*t[54])/192 + (5*t[59])/4 + (1381*t[60])/96 + 
       (503*t[61])/96 - (2773*t[62])/192 + (397*t[63])/192 - 
       (2003*t[64])/64 - (1337*t[65])/288 + t[66]/288 + (11*t[70])/6 - 
       (11*t[71])/6 + (5*t[72])/3 - (89*t[73])/12 + (3*t[74])/4 + 
       (233*t[75])/12 - (35*t[76])/6 - t[77] + t[78]/2 + (10*t[79])/3 - 
       (3*t[80])/2 - (7*t[81])/3 + (97*t[82])/12 - (25*t[83])/3 + 
       (71*t[84])/96 - (253*t[85])/96 - (25*t[86])/3 - (519*t[87])/32 + 
       (41*t[88])/64 - (433*t[89])/192 - (11*t[95])/6 - (5*t[96])/6 + 
       (8*t[97])/3 - 23*t[98] + 16*t[99] + (47*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-105*t[3])/16 + (3*t[4])/4 - (11*t[5])/8 + 19*t[6] - (183*t[7])/8 + 
       (331*t[8])/8 + (17*t[9])/4 + (11*t[10])/8 - (83*t[11])/4 - 
       (7*t[12])/8 + (17*t[13])/16 - (175*t[14])/16 - (857*t[15])/288 + 
       11*t[28] + (19*t[29])/4 + (13*t[30])/4 + 5*t[32] + (3*t[33])/4 + 
       (5*t[34])/2 - 8*t[44] + (95*t[48])/8 + (3*t[49])/8 - (99*t[50])/8 - 
       (3*t[51])/16 + (99*t[52])/8 - (3*t[53])/8 + (73*t[54])/4 - t[59]/4 + 
       (61*t[60])/4 - (65*t[61])/2 + 29*t[62] - (151*t[63])/4 + 
       (81*t[64])/8 + (397*t[65])/24 + (145*t[66])/8 + 3*t[73] - t[74] + 
       15*t[75] - 3*t[79] + t[81]/2 - t[82]/2 - 20*t[83] + (29*t[84])/8 + 
       (35*t[85])/8 - 7*t[86] + (75*t[87])/8 + (71*t[88])/16 + 
       (155*t[89])/8 + 2*t[95] + 24*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      M1[w, u, v]*(-t[1]/2 + (3*t[2])/4 + (17*t[3])/16 - 2*t[4] - 
       (11*t[5])/2 - (3*t[6])/2 + (9*t[7])/8 - (117*t[8])/8 + (23*t[9])/8 - 
       (15*t[10])/4 - 12*t[11] - (43*t[12])/8 - (493*t[13])/144 - 
       (71*t[14])/12 - (199*t[15])/96 - t[28] - (5*t[29])/4 + (5*t[30])/4 - 
       t[31] - t[32]/2 + (3*t[33])/4 - (3*t[34])/2 - 2*t[35] + t[38]/2 - 
       (3*t[39])/2 + (5*t[40])/2 - t[41]/2 + t[42]/2 + (3*t[44])/2 + 
       (7*t[45])/2 - (7*t[47])/2 - (31*t[48])/8 - (15*t[49])/4 + 
       (31*t[50])/8 + (17*t[51])/8 - (47*t[52])/8 + (7*t[53])/4 + 3*t[54] - 
       t[59]/2 + (11*t[60])/2 - (63*t[61])/4 + (105*t[62])/8 - (15*t[63])/8 - 
       19*t[64] + (67*t[65])/8 + (283*t[66])/24 - t[72] - t[73] + t[74] - 
       t[75] - (15*t[76])/2 - t[77] + 7*t[78] + t[79] - 5*t[80] + t[82] - 
       t[83] + (85*t[84])/8 + (47*t[85])/8 - 3*t[86] + (27*t[87])/8 + 
       (39*t[88])/16 + (15*t[89])/2 - 2*t[95] - 3*t[96] - (5*t[97])/2 - 
       48*t[98] + 48*t[99] + 24*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - v]*(t[1] - (5*t[2])/2 - (43*t[3])/8 + 
       (33*t[4])/2 - 5*t[5] - (7*t[6])/4 - (39*t[7])/4 - (37*t[8])/4 - 
       (19*t[9])/4 + (23*t[10])/4 - t[11]/4 - 10*t[12] + (503*t[13])/72 - 
       (119*t[14])/24 - (41*t[15])/16 + t[23] + t[24] - (5*t[29])/2 + 
       t[30]/2 - 3*t[31] - t[32] + (3*t[33])/2 - 5*t[34] - 8*t[35] - 
       2*t[36] + 2*t[38] + 3*t[40] - t[43] - t[44] + 7*t[45] - 5*t[47] - 
       t[48] - (11*t[49])/4 - (5*t[50])/2 + (19*t[51])/8 - (7*t[52])/2 + 
       (11*t[53])/4 + (7*t[54])/4 + 19*t[60] + (21*t[61])/2 + (39*t[62])/4 - 
       (153*t[63])/4 - 32*t[64] - (71*t[65])/12 - (245*t[66])/12 - 2*t[72] - 
       2*t[73] + 4*t[74] - 7*t[76] + 2*t[77] + 6*t[78] + 2*t[79] - 10*t[80] - 
       2*t[82] - 7*t[83] + (45*t[84])/4 - t[85]/4 - 30*t[86] + (27*t[87])/4 + 
       (39*t[88])/8 + (39*t[89])/2 - 4*t[95] - t[97] - 48*t[98] + 48*t[99] + 
       24*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      (t[1] - t[2] - (11*t[3])/4 + 12*t[4] - (27*t[5])/2 - t[6]/8 - t[7]/4 + 
       t[8] + 5*t[9] + (11*t[10])/2 - (51*t[11])/8 - 9*t[12] + 
       (13*t[13])/18 + (25*t[14])/8 - (71*t[15])/36 + t[28] - t[29] + 
       t[30]/2 - 3*t[31] - t[32]/2 + t[33]/2 - 6*t[34] - 7*t[35] - t[36] + 
       2*t[38] + (9*t[40])/2 - t[43]/2 - (17*t[44])/4 + 7*t[45] - 5*t[47] + 
       (3*t[48])/8 - (7*t[49])/2 + (9*t[50])/8 + (11*t[51])/4 - 
       (57*t[52])/8 + (7*t[53])/2 + (43*t[54])/8 - t[59]/2 + (55*t[60])/4 + 
       (49*t[61])/4 + (27*t[62])/4 - (85*t[63])/4 - (323*t[64])/8 - 
       (7*t[65])/3 + (14*t[66])/3 - 3*t[72] - 2*t[73] + 3*t[74] - 3*t[75] - 
       10*t[76] + t[77] + 5*t[78] + 2*t[79] - 8*t[80] - t[81] - t[82] - 
       3*t[83] + (21*t[84])/2 + t[85]/2 - 22*t[86] - (7*t[87])/4 + 
       (7*t[88])/8 + (179*t[89])/8 - 4*t[95] - t[97] - 48*t[98] + 48*t[99] + 
       24*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (-11*t[1] + (67*t[2])/12 - (575*t[3])/12 - (421*t[4])/12 - 
       (743*t[5])/24 + (1633*t[6])/48 + (19*t[7])/6 + (523*t[8])/12 + 
       (131*t[9])/6 - (719*t[10])/24 - (2201*t[11])/48 + 43*t[12] - 
       (3115*t[13])/108 + (61*t[14])/36 + (665*t[15])/216 - (8*t[24])/3 + 
       (8*t[27])/3 + 2*t[28] - (7*t[29])/3 - (22*t[30])/3 + (53*t[32])/3 - 
       (5*t[33])/3 - 8*t[34] - 4*t[35] + 4*t[36] - t[37]/3 - (20*t[38])/3 - 
       (10*t[39])/3 + (17*t[40])/6 - t[41]/6 + t[42]/6 - t[43]/6 + 
       (31*t[44])/6 + (37*t[45])/3 + t[46] - 12*t[47] + (341*t[48])/16 - 
       (107*t[49])/8 + (129*t[50])/16 + (293*t[51])/48 - (323*t[52])/48 + 
       (577*t[53])/24 + (639*t[54])/16 + (5*t[59])/3 + (41*t[60])/24 - 
       (77*t[61])/24 + (1457*t[62])/48 - (2617*t[63])/48 - (1405*t[64])/48 + 
       (5341*t[65])/72 + (3059*t[66])/72 + (14*t[70])/3 - (14*t[71])/3 - 
       (16*t[72])/3 + 4*t[73] + 3*t[74] - 4*t[75] - (49*t[76])/3 - 
       (17*t[77])/3 + (71*t[78])/3 - (34*t[80])/3 - (9*t[81])/2 - 
       (17*t[82])/6 - (16*t[83])/3 + (781*t[84])/24 + (331*t[85])/24 + 
       2*t[86] + (965*t[87])/24 + (695*t[88])/16 + (1675*t[89])/48 - 
       10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 108*t[99] + 
       24*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*(t[1] + (193*t[2])/12 - (1145*t[3])/24 - 
       (37*t[4])/4 - (81*t[5])/8 + (673*t[6])/16 - (517*t[7])/12 + 
       (677*t[8])/6 - (31*t[9])/4 + (235*t[10])/24 - (2027*t[11])/48 - 
       (55*t[12])/6 - (4297*t[13])/216 + (139*t[14])/18 - (581*t[15])/432 + 
       (8*t[20])/3 + (8*t[24])/3 + (8*t[27])/3 - (11*t[29])/6 - 2*t[30] + 
       (49*t[32])/3 + (7*t[33])/3 - (10*t[34])/3 - 4*t[36] - t[37]/3 + 
       (4*t[38])/3 - (16*t[39])/3 - t[40]/6 - t[41]/6 + t[42]/6 - t[43]/6 - 
       (23*t[44])/4 + 13*t[45] + t[46] - 14*t[47] + (347*t[48])/16 - 
       (139*t[49])/24 - (355*t[50])/48 + (53*t[51])/16 + (547*t[52])/48 + 
       (11*t[53])/24 + (1607*t[54])/48 - (10*t[59])/3 + (1967*t[60])/24 - 
       (569*t[61])/24 + (781*t[62])/48 - (5005*t[63])/48 - (443*t[64])/16 + 
       (467*t[65])/24 + (683*t[66])/72 + (14*t[70])/3 - (14*t[71])/3 + 
       4*t[73] + 5*t[74] - 4*t[75] - (47*t[76])/3 + (5*t[77])/3 + 
       (65*t[78])/3 + 8*t[79] - 14*t[80] - (17*t[81])/6 - (31*t[82])/6 - 
       (16*t[83])/3 + (239*t[84])/8 + (407*t[85])/24 - 6*t[86] + 
       (281*t[87])/24 + (467*t[88])/16 + (571*t[89])/16 - 10*t[95] - 
       (38*t[96])/3 - 2*t[97] - 104*t[98] + 108*t[99] + 24*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*(t[1] + (193*t[2])/12 - 
       (1145*t[3])/24 - (37*t[4])/4 - (81*t[5])/8 + (673*t[6])/16 - 
       (517*t[7])/12 + (677*t[8])/6 - (31*t[9])/4 + (235*t[10])/24 - 
       (2027*t[11])/48 - (55*t[12])/6 - (4297*t[13])/216 + (139*t[14])/18 - 
       (581*t[15])/432 + (8*t[20])/3 + (8*t[24])/3 + (8*t[27])/3 - 
       (11*t[29])/6 - 2*t[30] + (49*t[32])/3 + (7*t[33])/3 - (10*t[34])/3 - 
       4*t[36] - t[37]/3 + (4*t[38])/3 - (16*t[39])/3 - t[40]/6 - t[41]/6 + 
       t[42]/6 - t[43]/6 - (23*t[44])/4 + 13*t[45] + t[46] - 14*t[47] + 
       (347*t[48])/16 - (139*t[49])/24 - (355*t[50])/48 + (53*t[51])/16 + 
       (547*t[52])/48 + (11*t[53])/24 + (1607*t[54])/48 - (10*t[59])/3 + 
       (1967*t[60])/24 - (569*t[61])/24 + (781*t[62])/48 - (5005*t[63])/48 - 
       (443*t[64])/16 + (467*t[65])/24 + (683*t[66])/72 + (14*t[70])/3 - 
       (14*t[71])/3 + 4*t[73] + 5*t[74] - 4*t[75] - (47*t[76])/3 + 
       (5*t[77])/3 + (65*t[78])/3 + 8*t[79] - 14*t[80] - (17*t[81])/6 - 
       (31*t[82])/6 - (16*t[83])/3 + (239*t[84])/8 + (407*t[85])/24 - 
       6*t[86] + (281*t[87])/24 + (467*t[88])/16 + (571*t[89])/16 - 
       10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 108*t[99] + 
       24*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*(t[1] + (67*t[2])/12 - (671*t[3])/12 - 
       (229*t[4])/12 - (647*t[5])/24 + (2017*t[6])/48 + (67*t[7])/6 + 
       (811*t[8])/12 + (203*t[9])/6 - (143*t[10])/24 - (2201*t[11])/48 - 
       7*t[12] - (2179*t[13])/108 + (541*t[14])/36 + (1961*t[15])/216 - 
       (8*t[24])/3 + (8*t[27])/3 + 2*t[28] - (7*t[29])/3 - (22*t[30])/3 + 
       (53*t[32])/3 - (5*t[33])/3 - 8*t[34] - 4*t[35] + 4*t[36] - t[37]/3 + 
       (4*t[38])/3 - (10*t[39])/3 + (5*t[40])/6 - t[41]/6 + t[42]/6 - 
       t[43]/6 + (31*t[44])/6 + (37*t[45])/3 + t[46] - 12*t[47] + 
       (341*t[48])/16 - (107*t[49])/8 + (129*t[50])/16 + (293*t[51])/48 - 
       (323*t[52])/48 + (193*t[53])/24 + (639*t[54])/16 + (5*t[59])/3 + 
       (1385*t[60])/24 + (307*t[61])/24 + (305*t[62])/48 - (3001*t[63])/48 - 
       (2557*t[64])/48 + (4189*t[65])/72 + (3635*t[66])/72 + (14*t[70])/3 - 
       (14*t[71])/3 - (16*t[72])/3 + 4*t[73] + 3*t[74] - 4*t[75] - 
       (49*t[76])/3 + (7*t[77])/3 + (71*t[78])/3 - (34*t[80])/3 - 
       (9*t[81])/2 - (17*t[82])/6 - (16*t[83])/3 + (781*t[84])/24 + 
       (331*t[85])/24 + 2*t[86] + (581*t[87])/24 + (567*t[88])/16 + 
       (2059*t[89])/48 - 10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 
       108*t[99] + 24*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
       1 - v]*(t[1] + (67*t[2])/12 - (671*t[3])/12 - (229*t[4])/12 - 
       (647*t[5])/24 + (2017*t[6])/48 + (67*t[7])/6 + (811*t[8])/12 + 
       (203*t[9])/6 - (143*t[10])/24 - (2201*t[11])/48 - 7*t[12] - 
       (2179*t[13])/108 + (541*t[14])/36 + (1961*t[15])/216 - (8*t[24])/3 + 
       (8*t[27])/3 + 2*t[28] - (7*t[29])/3 - (22*t[30])/3 + (53*t[32])/3 - 
       (5*t[33])/3 - 8*t[34] - 4*t[35] + 4*t[36] - t[37]/3 + (4*t[38])/3 - 
       (10*t[39])/3 + (5*t[40])/6 - t[41]/6 + t[42]/6 - t[43]/6 + 
       (31*t[44])/6 + (37*t[45])/3 + t[46] - 12*t[47] + (341*t[48])/16 - 
       (107*t[49])/8 + (129*t[50])/16 + (293*t[51])/48 - (323*t[52])/48 + 
       (193*t[53])/24 + (639*t[54])/16 + (5*t[59])/3 + (1385*t[60])/24 + 
       (307*t[61])/24 + (305*t[62])/48 - (3001*t[63])/48 - (2557*t[64])/48 + 
       (4189*t[65])/72 + (3635*t[66])/72 + (14*t[70])/3 - (14*t[71])/3 - 
       (16*t[72])/3 + 4*t[73] + 3*t[74] - 4*t[75] - (49*t[76])/3 + 
       (7*t[77])/3 + (71*t[78])/3 - (34*t[80])/3 - (9*t[81])/2 - 
       (17*t[82])/6 - (16*t[83])/3 + (781*t[84])/24 + (331*t[85])/24 + 
       2*t[86] + (581*t[87])/24 + (567*t[88])/16 + (2059*t[89])/48 - 
       10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 108*t[99] + 
       24*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      (-11*t[1] + (67*t[2])/12 - (767*t[3])/12 - (229*t[4])/12 - 
       (839*t[5])/24 + (2785*t[6])/48 + (163*t[7])/6 + (1003*t[8])/12 + 
       (299*t[9])/6 + (625*t[10])/24 - (3737*t[11])/48 + t[12] - 
       (5635*t[13])/108 + (1069*t[14])/36 + (3689*t[15])/216 - 8*t[23] - 
       (8*t[24])/3 + (8*t[27])/3 + 2*t[28] - (7*t[29])/3 - (22*t[30])/3 + 
       (53*t[32])/3 - (5*t[33])/3 - 8*t[34] - 4*t[35] + 4*t[36] - t[37]/3 + 
       (4*t[38])/3 - (10*t[39])/3 + (5*t[40])/6 - (25*t[41])/6 + 
       (25*t[42])/6 - t[43]/6 + (31*t[44])/6 + (37*t[45])/3 + t[46] - 
       12*t[47] + (469*t[48])/16 - (107*t[49])/8 + (257*t[50])/16 + 
       (293*t[51])/48 - (707*t[52])/48 + (193*t[53])/24 + (767*t[54])/16 - 
       (43*t[59])/3 + (1385*t[60])/24 + (499*t[61])/24 + (305*t[62])/48 - 
       (3001*t[63])/48 - (4093*t[64])/48 + (3421*t[65])/72 + 
       (9779*t[66])/72 + (14*t[70])/3 - (14*t[71])/3 - (16*t[72])/3 + 
       4*t[73] + 3*t[74] - 4*t[75] - (49*t[76])/3 + (7*t[77])/3 + 
       (71*t[78])/3 - (34*t[80])/3 - (9*t[81])/2 - (17*t[82])/6 - 
       (16*t[83])/3 + (781*t[84])/24 + (331*t[85])/24 + 2*t[86] + 
       (581*t[87])/24 + (567*t[88])/16 + (2059*t[89])/48 - 10*t[95] - 
       (38*t[96])/3 - 2*t[97] - 104*t[98] + 108*t[99] + 24*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (13*t[1] + (193*t[2])/12 - (1337*t[3])/24 + (27*t[4])/4 + (47*t[5])/8 + 
       (801*t[6])/16 - (421*t[7])/12 + (821*t[8])/6 + t[9]/4 + 
       (811*t[10])/24 - (2027*t[11])/48 - (391*t[12])/6 - (2857*t[13])/216 + 
       (379*t[14])/18 + (2875*t[15])/432 + (8*t[20])/3 + (8*t[24])/3 + 
       (8*t[27])/3 - (11*t[29])/6 - 2*t[30] + (49*t[32])/3 + (7*t[33])/3 - 
       (10*t[34])/3 - 4*t[36] - t[37]/3 - (20*t[38])/3 - (16*t[39])/3 - 
       t[40]/6 - t[41]/6 + t[42]/6 - t[43]/6 - (23*t[44])/4 + 13*t[45] + 
       t[46] - 14*t[47] + (347*t[48])/16 - (139*t[49])/24 - (355*t[50])/48 + 
       (53*t[51])/16 + (547*t[52])/48 + (395*t[53])/24 + (1607*t[54])/48 - 
       (10*t[59])/3 + (3887*t[60])/24 - (185*t[61])/24 - (755*t[62])/48 - 
       (6541*t[63])/48 - (827*t[64])/16 - (173*t[65])/24 + (491*t[66])/72 + 
       (14*t[70])/3 - (14*t[71])/3 + 4*t[73] + 5*t[74] - 4*t[75] - 
       (47*t[76])/3 + (29*t[77])/3 + (65*t[78])/3 + 8*t[79] - 14*t[80] - 
       (17*t[81])/6 - (31*t[82])/6 - (16*t[83])/3 + (303*t[84])/8 + 
       (407*t[85])/24 - 6*t[86] - (103*t[87])/24 + (339*t[88])/16 + 
       (699*t[89])/16 - 10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 
       108*t[99] + 24*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 
       1 - u]*(13*t[1] + (169*t[2])/12 - (1145*t[3])/24 - (37*t[4])/4 - 
       (81*t[5])/8 + (641*t[6])/16 - (517*t[7])/12 + (677*t[8])/6 - 
       (31*t[9])/4 - (53*t[10])/24 - (1067*t[11])/48 - (139*t[12])/6 + 
       (1319*t[13])/216 + (295*t[14])/18 - (293*t[15])/432 + (8*t[20])/3 - 
       8*t[23] + (8*t[24])/3 + (8*t[27])/3 - (11*t[29])/6 - 2*t[30] + 
       (49*t[32])/3 + (7*t[33])/3 - (10*t[34])/3 - 4*t[36] - t[37]/3 + 
       (10*t[38])/3 - (16*t[39])/3 - t[40]/6 + (23*t[41])/6 - (23*t[42])/6 - 
       t[43]/6 - (23*t[44])/4 + 13*t[45] + t[46] - 14*t[47] + 
       (347*t[48])/16 - (139*t[49])/24 - (355*t[50])/48 + (53*t[51])/16 + 
       (547*t[52])/48 + (11*t[53])/24 + (1799*t[54])/48 + (20*t[59])/3 + 
       (1967*t[60])/24 - (233*t[61])/24 + (781*t[62])/48 - (5005*t[63])/48 - 
       (443*t[64])/16 + (1043*t[65])/24 - (3637*t[66])/72 + (14*t[70])/3 + 
       (4*t[71])/3 + 4*t[73] + 5*t[74] - 4*t[75] - (47*t[76])/3 + 
       (5*t[77])/3 + (65*t[78])/3 + 8*t[79] - 14*t[80] - (17*t[81])/6 - 
       (31*t[82])/6 - (16*t[83])/3 + (303*t[84])/8 + (407*t[85])/24 - 
       6*t[86] + (281*t[87])/24 + (467*t[88])/16 + (699*t[89])/16 - 
       10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 108*t[99] + 
       24*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*(t[1]/2 + (9*t[2])/4 - (49*t[3])/2 - 
       (67*t[4])/4 - (101*t[5])/8 + (183*t[6])/16 + (41*t[7])/2 + 
       (85*t[8])/4 + 21*t[9] - (33*t[10])/8 - (687*t[11])/16 - 7*t[12] - 
       (1241*t[13])/36 - (27*t[14])/4 + (61*t[15])/12 - 2*t[19] + 2*t[20] + 
       2*t[21] - 2*t[24] + 2*t[27] + 4*t[29] + 4*t[30] - 2*t[31] + 14*t[32] - 
       7*t[33] - 9*t[34] - 6*t[35] + 6*t[36] + 3*t[37] + 2*t[38] - 5*t[39] + 
       (15*t[40])/2 - t[41] - t[43]/2 + 8*t[44] + 13*t[45] - 12*t[47] + 
       (281*t[48])/16 - (123*t[49])/8 + (213*t[50])/16 + (99*t[51])/16 - 
       (325*t[52])/16 + (91*t[53])/8 + (355*t[54])/16 + (3*t[59])/2 + 
       (99*t[60])/8 + (69*t[61])/8 + (435*t[62])/16 + (5*t[63])/16 - 
       (587*t[64])/16 + (1351*t[65])/24 + (2425*t[66])/24 + 2*t[70] - 
       2*t[71] - 6*t[72] + 4*t[73] - t[74] - 8*t[75] - 15*t[76] - 3*t[77] + 
       24*t[78] + 8*t[79] - 24*t[80] - (15*t[81])/2 + (9*t[82])/2 - 8*t[83] + 
       (147*t[84])/8 - (3*t[85])/8 - 6*t[86] + (371*t[87])/8 + 
       (547*t[88])/16 + (481*t[89])/16 - 6*t[95] - 8*t[96] - 3*t[97] - 
       96*t[98] + 108*t[99] + 24*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*((-11*t[1])/4 + (145*t[2])/24 - 
       (8701*t[3])/288 - (2383*t[4])/288 - (139*t[5])/16 + (515*t[6])/18 - 
       (625*t[7])/96 + (769*t[8])/24 + (1373*t[9])/144 + (451*t[10])/576 - 
       (10619*t[11])/288 - (2101*t[12])/576 - (11875*t[13])/864 + 
       (44597*t[14])/3456 + (1013*t[15])/1296 - t[18] - t[20]/18 + t[22]/4 + 
       t[23]/12 - t[24]/12 + t[25] + t[27]/6 + (13*t[28])/18 - 
       (115*t[29])/36 - (81*t[30])/16 - t[31]/12 + (305*t[32])/144 + 
       (743*t[33])/144 + (319*t[34])/36 + (10*t[35])/3 - (9*t[36])/4 + 
       (7*t[37])/6 - (13*t[38])/6 - (17*t[39])/6 + (11*t[40])/24 - t[41]/6 + 
       t[42]/6 - (19*t[43])/24 - (151*t[44])/48 - (2*t[45])/3 + t[46]/8 - 
       t[47]/2 + (1799*t[48])/288 - (395*t[49])/576 - (67*t[50])/36 + 
       (119*t[51])/1152 + (205*t[52])/36 - (1525*t[53])/576 + 
       (7279*t[54])/288 - (35*t[59])/36 + (759*t[60])/32 - (2815*t[61])/144 + 
       (1327*t[62])/64 - (13727*t[63])/576 - (3449*t[64])/288 + 
       (1715*t[65])/96 + (2125*t[66])/96 + (9*t[69])/4 + (23*t[70])/12 - 
       (23*t[71])/12 + (11*t[72])/12 - (19*t[73])/24 + (43*t[74])/12 + 
       (77*t[75])/24 - (53*t[76])/6 + t[77]/3 + (67*t[78])/6 - (7*t[79])/2 - 
       (79*t[80])/12 - (73*t[81])/48 - (21*t[82])/16 - (283*t[83])/72 + 
       (5693*t[84])/288 + (164*t[85])/9 - (112*t[86])/9 + (165*t[87])/32 + 
       (1775*t[88])/192 + (3365*t[89])/192 - (31*t[95])/6 - (20*t[96])/3 - 
       (3*t[97])/2 - 44*t[98] + 38*t[99] + (293*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((9*t[1])/4 - (67*t[2])/6 - (653*t[3])/48 - (137*t[4])/16 - 
       (5503*t[5])/576 + (5563*t[6])/288 - (1937*t[7])/144 + 
       (22795*t[8])/288 - (107*t[9])/64 + (839*t[10])/72 - 26*t[11] - 
       (1667*t[12])/576 - (2833*t[13])/216 + (3805*t[14])/432 + 
       (28711*t[15])/10368 + t[18]/2 + t[19]/2 - (13*t[20])/12 + t[21]/2 + 
       (3*t[22])/4 - t[23]/2 - (5*t[24])/6 + t[27]/6 - (179*t[28])/72 - 
       (235*t[29])/96 - (157*t[30])/24 + t[31]/12 + (13*t[32])/6 + 
       (13*t[33])/12 - (20*t[34])/3 + (19*t[35])/6 + (9*t[36])/4 - 
       (5*t[37])/6 + (4*t[38])/3 - (4*t[39])/3 + (59*t[40])/24 + 
       (13*t[41])/12 - (5*t[42])/6 + (29*t[43])/24 - (2351*t[44])/288 + 
       (15*t[45])/2 - (3*t[46])/8 - 5*t[47] + (2453*t[48])/144 - 
       (409*t[49])/96 - (3499*t[50])/288 + (209*t[51])/64 + 
       (2635*t[52])/288 + (473*t[53])/96 + (8779*t[54])/288 + (9*t[59])/2 + 
       (433*t[60])/36 + (1207*t[61])/48 - (11345*t[62])/576 - 
       (36023*t[63])/576 + (8357*t[64])/288 + (22735*t[65])/864 + 
       (18517*t[66])/864 - (3*t[69])/4 + t[70]/6 - t[71]/6 + (5*t[72])/6 - 
       (29*t[73])/24 + (7*t[74])/12 - (41*t[75])/24 - (77*t[76])/12 - 
       (4*t[77])/3 - t[78]/12 + (53*t[79])/24 + (3*t[80])/4 - (39*t[81])/4 + 
       3*t[82] - (17*t[83])/36 + (413*t[84])/32 - (205*t[85])/96 + 
       (1651*t[86])/72 + (4805*t[87])/144 + (6545*t[88])/288 + 
       (211*t[89])/6 - (31*t[95])/6 - t[96]/6 + t[97] - 44*t[98] + 38*t[99] + 
       (293*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]^2*((253*t[2])/96 + (377*t[3])/96 + (29*t[4])/24 - 
       (335*t[5])/192 + (13*t[6])/4 - (227*t[7])/16 + (871*t[8])/48 - 
       (725*t[9])/64 + (7*t[10])/4 - (997*t[11])/96 - (731*t[12])/192 + 
       (5*t[13])/144 - (5615*t[14])/576 - (283*t[15])/1152 - t[18]/2 + 
       (4*t[20])/3 - t[22]/2 + t[23]/2 + t[24] + (11*t[28])/2 - 
       (25*t[29])/24 + (59*t[30])/12 - t[31]/2 + (9*t[32])/4 + (2*t[33])/3 + 
       (9*t[34])/4 - t[35]/2 - t[36]/2 - t[37]/2 - t[41]/2 + t[42]/2 + 
       (3*t[43])/4 - (31*t[44])/48 + t[46]/2 - t[47]/2 + (45*t[48])/8 + 
       (139*t[49])/48 - (139*t[50])/48 - (79*t[51])/96 + (139*t[52])/48 - 
       (139*t[53])/48 + (35*t[54])/24 - (5*t[59])/4 - (179*t[60])/24 - 
       (545*t[61])/16 + (1063*t[62])/48 - (1325*t[63])/96 - (71*t[64])/24 + 
       (2869*t[65])/144 + (641*t[66])/48 + t[67]/16 + (5*t[69])/4 + 
       (3*t[70])/4 - (3*t[71])/4 - t[72] - t[73]/4 - (121*t[74])/24 + 
       (41*t[75])/4 + 2*t[76] + t[77]/2 + t[78]/2 - (15*t[79])/4 + 
       (7*t[80])/2 + (37*t[81])/12 - (37*t[82])/12 - (45*t[83])/8 - 
       (29*t[84])/8 + (4*t[85])/3 - (9*t[86])/4 + (161*t[87])/16 + 
       (395*t[88])/96 + (733*t[89])/96 + (11*t[95])/6 + 12*t[98] - 10*t[99] + 
       (199*t[100])/8) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*((-21*t[2])/8 + (233*t[3])/32 + (121*t[4])/32 + 
       (573*t[5])/32 + (79*t[6])/12 - (133*t[7])/6 + (95*t[8])/8 - 
       (1351*t[9])/96 - (37*t[10])/64 - (815*t[11])/96 - (31*t[12])/64 + 
       (811*t[13])/96 - (16957*t[14])/1152 - (1529*t[15])/576 + t[20]/4 + 
       t[22]/2 + (25*t[28])/4 + (89*t[29])/48 + t[30]/24 + t[31]/2 + 
       (35*t[32])/24 + t[33]/2 - (5*t[34])/6 - t[35] + t[36]/2 + t[39] - 
       2*t[40] - (3*t[43])/4 - (35*t[44])/12 + (583*t[48])/48 + 
       (45*t[49])/64 - (149*t[50])/12 - (141*t[51])/128 + (149*t[52])/12 - 
       (45*t[53])/64 + (155*t[54])/96 + (25*t[59])/48 + (165*t[60])/32 - 
       (3067*t[61])/96 + (8159*t[62])/192 - (5053*t[63])/192 - 
       (95*t[64])/192 + (449*t[65])/48 - (557*t[66])/72 - t[69]/4 - t[72] + 
       (9*t[73])/4 - (23*t[74])/12 + (33*t[75])/4 + (9*t[76])/2 + t[77]/2 - 
       (3*t[78])/2 + (5*t[79])/4 - 3*t[80] + (103*t[81])/48 + (41*t[82])/48 - 
       (157*t[83])/8 - (13*t[84])/48 + (223*t[85])/96 - (101*t[86])/4 + 
       (223*t[87])/96 + (47*t[88])/192 + (1895*t[89])/192 + (11*t[95])/6 + 
       12*t[98] - 10*t[99] + (199*t[100])/8) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      (t[1] - (133*t[2])/12 + (63*t[3])/4 + 6*t[4] - (7*t[5])/2 + 
       (67*t[6])/8 - (111*t[7])/4 + (145*t[8])/4 - (73*t[9])/2 + 
       (23*t[10])/4 - (177*t[11])/8 - (37*t[12])/4 - (115*t[13])/24 - 
       (617*t[14])/24 - (125*t[15])/72 + t[23] + t[24] - 6*t[28] + 3*t[29] + 
       (7*t[30])/2 - 3*t[31] - t[33]/2 - 10*t[34] - 10*t[35] + 2*t[38] + 
       3*t[40] - (5*t[44])/2 + 7*t[45] - 5*t[47] + (107*t[48])/8 - 5*t[49] - 
       (69*t[50])/8 + (7*t[51])/2 + (21*t[52])/8 + 5*t[53] + (141*t[54])/8 + 
       (10*t[59])/3 - (123*t[60])/4 + (13*t[61])/4 + (167*t[62])/8 - 
       (63*t[63])/8 + (157*t[64])/8 + (259*t[65])/12 + (629*t[66])/12 - 
       2*t[69] + t[70] - t[71] - 2*t[72] - 4*t[73] + 3*t[74] - 4*t[75] - 
       7*t[76] + 4*t[78] + 7*t[79] - 6*t[80] - 3*t[81] + t[82] + 
       (9*t[83])/2 + (11*t[84])/4 - (37*t[85])/4 - 19*t[86] + (113*t[87])/4 + 
       (121*t[88])/8 + (223*t[89])/8 - 4*t[95] - t[97] - 48*t[98] + 
       48*t[99] + 27*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((4*t[1])/3 - (77*t[2])/24 + 
       (1291*t[3])/96 - (7*t[4])/3 - (569*t[5])/144 - (2063*t[6])/288 - 
       (11*t[7])/16 - (2933*t[8])/144 - (17*t[9])/144 - (13*t[10])/36 - 
       (2033*t[11])/288 - (107*t[12])/72 + (137*t[13])/32 - 
       (5099*t[14])/288 - (35921*t[15])/5184 - 2*t[20] - t[25] + t[26] + 
       (4*t[28])/9 + (67*t[29])/72 - (13*t[30])/36 + t[31]/3 + t[32]/36 + 
       (3*t[33])/2 - (211*t[34])/36 - (22*t[35])/3 - 2*t[37] + (7*t[38])/6 + 
       2*t[39] - t[40] + t[43]/2 + (115*t[44])/72 + (7*t[45])/3 + t[46] - 
       (2*t[47])/3 - (2387*t[48])/288 - (73*t[49])/12 + (21*t[50])/32 + 
       (21*t[51])/8 - (85*t[52])/32 + (73*t[53])/12 - (959*t[54])/288 - 
       (13*t[59])/72 + (23*t[60])/144 - (3083*t[61])/144 + (3131*t[62])/288 - 
       (4591*t[63])/288 - (117*t[64])/32 - (19*t[65])/54 + (95*t[66])/36 - 
       2*t[69] - (11*t[72])/3 - 2*t[73] + (7*t[74])/9 + (4*t[75])/3 - 
       (11*t[76])/6 - (31*t[78])/6 + 2*t[79] + 4*t[80] - (31*t[81])/18 + 
       (37*t[82])/18 - (40*t[83])/9 - (5*t[84])/18 + (107*t[85])/36 - 
       (80*t[86])/9 + (7*t[87])/8 + (133*t[88])/144 + (3277*t[89])/288 - 
       (14*t[95])/9 - t[97]/3 + 8*t[98] - 14*t[99] + (82*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-9*t[1])/16 + (1837*t[2])/288 - (187*t[3])/96 - (19*t[4])/2 + 
       (507*t[5])/32 + (2759*t[6])/192 - (1115*t[7])/32 + (1545*t[8])/32 - 
       (1481*t[9])/96 + (299*t[10])/96 - (4499*t[11])/192 + (4*t[12])/3 - 
       (157*t[13])/48 - (1687*t[14])/192 - (131*t[15])/24 + t[19]/4 + 
       (5*t[20])/6 + t[21]/4 - t[22]/4 - (2*t[23])/3 + (7*t[24])/12 - 
       t[25]/2 + t[26]/4 + t[27]/2 + (11*t[28])/2 - (37*t[29])/24 - 
       (5*t[30])/2 + (8*t[31])/3 - 5*t[32] + (23*t[33])/4 + (139*t[34])/24 + 
       (5*t[35])/12 + t[37]/4 - (7*t[38])/8 - t[39]/2 - 2*t[40] + t[41]/16 - 
       t[42]/16 + t[43]/4 - (91*t[44])/16 - (15*t[45])/4 - t[46]/4 + 
       (7*t[47])/2 + (1155*t[48])/64 + (13*t[49])/8 - (1001*t[50])/64 - 
       (21*t[51])/16 + (1281*t[52])/64 - (15*t[53])/8 + (873*t[54])/64 - 
       (107*t[59])/144 + (259*t[60])/32 - (5195*t[61])/96 + (1165*t[62])/64 - 
       (8167*t[63])/192 + (2967*t[64])/64 + (3263*t[65])/288 + 
       (2305*t[66])/288 - t[69] + (3*t[70])/2 - (3*t[71])/2 + (5*t[72])/2 + 
       (5*t[73])/2 + (17*t[74])/8 + (14*t[75])/3 + (11*t[76])/4 + t[77]/4 - 
       (3*t[78])/4 - (19*t[79])/24 + (7*t[80])/2 - (47*t[81])/24 + 
       (35*t[82])/24 + (31*t[83])/12 + t[84]/32 + (661*t[85])/96 + 
       (79*t[86])/8 - (65*t[87])/96 + (149*t[88])/64 + (805*t[89])/64 + 
       t[95]/6 - t[96] + t[97]/4 + 21*t[98] - 24*t[99] + 28*t[100]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-53*t[2])/8 + (1275*t[3])/64 - (5*t[4])/6 + (1313*t[5])/96 - 
       (961*t[6])/128 - (937*t[7])/96 - (601*t[8])/48 - (3503*t[9])/192 - 
       (47*t[10])/24 - (2005*t[11])/384 - (107*t[12])/96 - 
       (5195*t[13])/1728 - (6695*t[14])/384 - (1895*t[15])/1728 + t[20]/3 + 
       (2*t[24])/3 - t[27]/6 + (5*t[28])/12 + (43*t[29])/16 + (4*t[30])/3 + 
       t[31]/2 - (11*t[32])/16 - (11*t[33])/12 - (11*t[34])/12 + 
       (5*t[35])/2 - (5*t[36])/4 - t[37]/6 + t[38]/6 - (7*t[39])/6 + 
       (43*t[40])/24 - t[41]/12 + t[42]/12 + t[43]/6 - (121*t[44])/96 - 
       (19*t[45])/12 - t[46]/2 + (3*t[47])/4 + (695*t[48])/384 + 
       (25*t[49])/12 - (725*t[50])/384 - (31*t[51])/48 + (135*t[52])/128 - 
       (7*t[53])/4 - (2339*t[54])/384 + (7*t[59])/6 - (5077*t[60])/192 - 
       (1751*t[61])/64 + (3211*t[62])/128 + (8695*t[63])/384 + 
       (409*t[64])/128 - (521*t[65])/576 + (18917*t[66])/576 + t[69] - 
       (7*t[70])/6 + (7*t[71])/6 - t[72]/6 - t[73]/2 - (5*t[74])/4 + 
       (7*t[75])/2 - (2*t[76])/3 - t[77]/3 - (41*t[78])/12 + (3*t[79])/2 + 
       (17*t[80])/6 - (25*t[81])/8 + (107*t[82])/24 - (35*t[83])/6 - 
       (1897*t[84])/192 - (247*t[85])/64 - (25*t[86])/3 - (775*t[87])/192 - 
       (685*t[88])/128 - (2747*t[89])/384 + 2*t[95] + (7*t[96])/6 - t[97]/4 + 
       2*t[98] - 4*t[99] + 28*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-695*t[2])/144 - (125*t[3])/18 + (91*t[4])/72 - 
       (739*t[5])/48 - (5*t[6])/72 + (109*t[7])/48 + (155*t[8])/48 + 
       (58*t[9])/9 + (193*t[10])/18 - (613*t[11])/72 + (61*t[12])/144 - 
       (715*t[13])/216 + (1435*t[14])/864 + (301*t[15])/324 - (23*t[20])/18 - 
       (19*t[23])/6 - (19*t[24])/6 - (23*t[28])/9 - (8*t[29])/9 + 
       (29*t[30])/6 + (25*t[31])/6 - (71*t[32])/36 + (17*t[33])/18 + 
       (13*t[34])/18 + (31*t[35])/2 - t[36] + t[43]/2 + 4*t[44] + t[46]/2 - 
       (34*t[48])/9 + (269*t[49])/144 + (59*t[50])/18 - (161*t[51])/288 - 
       (59*t[52])/18 - (269*t[53])/144 + (185*t[54])/72 + (59*t[59])/72 - 
       (299*t[60])/24 - (355*t[61])/72 - (149*t[62])/48 + (1067*t[63])/144 - 
       (179*t[64])/144 + (703*t[65])/72 + (83*t[66])/72 + 2*t[69] - t[70] + 
       t[71] - t[72] - t[73]/3 - (37*t[74])/12 + (3*t[76])/2 - 
       (61*t[79])/12 + (7*t[81])/6 - (13*t[82])/6 + (247*t[83])/18 - 
       (17*t[84])/72 + (443*t[85])/72 + (373*t[86])/36 + (325*t[87])/24 + 
       (325*t[88])/48 + (89*t[89])/16 - 4*t[99] + (173*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-21*t[2])/4 - 19*t[3] - (31*t[4])/4 - (4763*t[5])/144 + 
       (4243*t[6])/144 + (38*t[7])/9 + (6041*t[8])/72 + (649*t[9])/48 + 
       (85*t[10])/18 - (765*t[11])/16 - (295*t[12])/144 - (1685*t[13])/72 + 
       (9221*t[14])/432 + (14141*t[15])/2592 + t[20]/2 - t[22] - 
       (73*t[28])/18 + (73*t[29])/24 + 7*t[30] - (8*t[31])/3 + (3*t[32])/4 - 
       (19*t[35])/3 + t[36] + t[37] + 4*t[40] + t[41]/2 - t[42]/2 - 
       (451*t[44])/72 - t[46]/2 + t[47] + (1015*t[48])/144 - (13*t[49])/8 + 
       (125*t[50])/144 + (7*t[51])/16 - (125*t[52])/144 + (13*t[53])/8 + 
       (4891*t[54])/144 - (2519*t[60])/72 + (443*t[61])/24 + 
       (2467*t[62])/72 + (3457*t[63])/72 - (973*t[64])/144 + 
       (5503*t[65])/108 + (13297*t[66])/108 + t[69]/2 - (11*t[72])/3 - 
       (7*t[73])/2 - (13*t[75])/6 - 8*t[76] + (11*t[79])/2 - t[80] - 
       t[81]/2 + (7*t[82])/2 - (7*t[83])/36 + (37*t[84])/12 + (13*t[85])/3 - 
       (331*t[86])/18 + (1079*t[87])/72 + (1079*t[88])/144 + (615*t[89])/16 - 
       4*t[99] + (173*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((19*t[2])/4 - (213*t[3])/16 + (7*t[4])/2 - 
       (125*t[5])/24 + (58*t[6])/3 - (275*t[7])/8 + (1405*t[8])/24 - 
       (59*t[9])/6 - t[10]/6 - (85*t[11])/6 + t[12]/12 - (349*t[13])/48 - 
       (539*t[14])/24 - (9491*t[15])/864 - 4*t[20] + (11*t[28])/3 + 
       (7*t[29])/12 + (61*t[30])/12 + (7*t[32])/6 - (7*t[33])/4 - 
       (7*t[34])/6 + 8*t[35] - (83*t[44])/12 + (425*t[48])/24 + (3*t[49])/4 - 
       (151*t[50])/8 - (3*t[51])/8 + (151*t[52])/8 - (3*t[53])/4 + 
       (58*t[54])/3 + (8*t[59])/3 + (103*t[60])/12 - (199*t[61])/12 + 
       (493*t[62])/24 - (401*t[63])/24 + (309*t[64])/8 + (979*t[65])/72 + 
       (1355*t[66])/24 + t[67] + 4*t[69] - 19*t[73] + (8*t[74])/3 + 
       69*t[75] - 9*t[79] + (7*t[81])/6 - (7*t[82])/6 - (137*t[83])/3 - 
       (13*t[84])/24 + (5*t[85])/24 + (41*t[86])/3 - (25*t[87])/8 - 
       (511*t[88])/48 + (247*t[89])/12 + (8*t[95])/3 + 29*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((15*t[2])/2 - (29*t[3])/16 + t[4] - (77*t[5])/24 + (103*t[6])/3 - 
       (535*t[7])/8 + (2833*t[8])/24 - (133*t[9])/12 + (7*t[10])/12 - 
       (104*t[11])/3 - t[12]/6 - (7*t[13])/16 - (47*t[14])/6 - 
       (5387*t[15])/864 + (59*t[28])/3 + (73*t[29])/12 + (61*t[30])/12 + 
       (25*t[32])/6 + (3*t[33])/4 + (5*t[34])/6 - (455*t[44])/12 + 
       (785*t[48])/24 + t[49]/2 - (271*t[50])/8 - t[51]/4 + (271*t[52])/8 - 
       t[53]/2 + (209*t[54])/6 - (25*t[59])/12 + (121*t[60])/12 - 
       (160*t[61])/3 + (1693*t[62])/24 - (1949*t[63])/24 + (297*t[64])/8 + 
       (3379*t[65])/72 + (1195*t[66])/24 - 25*t[73] + (2*t[74])/3 + 
       75*t[75] - 3*t[79] + t[81]/6 - t[82]/6 - (101*t[83])/3 - 
       (37*t[84])/24 - (7*t[85])/24 + (23*t[86])/3 - (29*t[87])/8 - 
       (523*t[88])/48 + (106*t[89])/3 + (8*t[95])/3 + 29*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      (2*t[1] - (979*t[2])/72 + (8039*t[3])/288 - (443*t[4])/72 + 
       (175*t[5])/18 - (5399*t[6])/576 + (335*t[7])/144 - (523*t[8])/18 - 
       (4633*t[9])/288 + (527*t[10])/144 + (1543*t[11])/576 + (77*t[12])/48 + 
       (3355*t[13])/2592 - (17567*t[14])/1728 + (4127*t[15])/2592 + 
       (7*t[24])/9 - t[25] + (2*t[27])/9 - (3*t[28])/2 + t[29]/72 - 
       (10*t[30])/9 + (8*t[31])/3 - (307*t[32])/36 + (52*t[33])/9 + 
       (5*t[34])/6 + 3*t[35] - (10*t[36])/3 - (41*t[37])/18 + (5*t[38])/18 - 
       (4*t[39])/9 - (115*t[40])/72 + (7*t[41])/36 - (7*t[42])/36 + 
       (7*t[43])/36 + (167*t[44])/144 - (95*t[45])/9 - (11*t[46])/12 + 
       (17*t[47])/2 - (1687*t[48])/192 + (367*t[49])/48 + (709*t[50])/192 - 
       (899*t[51])/288 + (1201*t[52])/576 - (877*t[53])/144 - 
       (2957*t[54])/192 + (25*t[59])/18 - (11581*t[60])/288 - 
       (7253*t[61])/288 + (4769*t[62])/576 + (26759*t[63])/576 + 
       (2975*t[64])/576 - (14513*t[65])/864 + (16325*t[66])/864 - 
       (7*t[70])/9 + (7*t[71])/9 - (19*t[72])/9 - (11*t[73])/3 - t[74]/2 + 
       (11*t[75])/3 + (50*t[76])/9 + (11*t[77])/18 - (151*t[78])/9 + 
       (197*t[80])/9 - (83*t[81])/12 + (269*t[82])/36 + (49*t[83])/18 - 
       (6041*t[84])/288 + (835*t[85])/288 + t[86]/3 - (6979*t[87])/288 - 
       (3169*t[88])/192 - (12251*t[89])/576 + (7*t[95])/3 + (28*t[96])/9 + 
       (3*t[97])/2 + (166*t[98])/3 - 58*t[99] + 29*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u]*((5*t[1])/4 - (7*t[2])/4 - 
       (45*t[3])/4 - (63*t[4])/4 - (7*t[5])/2 + (265*t[6])/16 - (23*t[7])/4 + 
       28*t[8] + (75*t[9])/8 + (25*t[10])/8 - (301*t[11])/16 + (61*t[12])/8 - 
       (115*t[13])/72 + (23*t[14])/4 + (7*t[15])/16 + 2*t[19] - 2*t[20] - 
       2*t[21] + t[22] + t[23] - t[25] + t[26] - t[27] - 5*t[29] - 5*t[30] + 
       2*t[31] + (9*t[32])/2 + 2*t[33] - t[34]/2 - 3*t[37] - t[38]/2 + 
       3*t[39] - (15*t[40])/2 + t[41]/4 + t[42]/4 + t[43]/2 + t[44]/2 - 
       t[45] + t[46] + 2*t[47] + (31*t[48])/16 - (31*t[49])/8 - 
       (93*t[50])/16 + (15*t[51])/16 + (197*t[52])/16 + (31*t[53])/8 + 
       (221*t[54])/16 + (3*t[59])/2 + (165*t[60])/8 - (161*t[61])/8 - 
       (91*t[62])/16 - (525*t[63])/16 - (69*t[64])/16 + (73*t[65])/24 + 
       (29*t[66])/8 + 2*t[70] - 2*t[71] + t[74] + 3*t[76] + 2*t[77] - 
       8*t[78] + 8*t[80] - t[81]/2 + (3*t[82])/2 + (13*t[84])/8 + 
       (27*t[85])/8 - (87*t[87])/8 + (65*t[88])/16 + (119*t[89])/16 - 
       2*t[95] - 2*t[96] + 2*t[97] + 12*t[98] - 24*t[99] + 30*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*Omega2[u, v, w]*((7*t[1])/4 + (19*t[2])/4 - 
       (157*t[3])/8 - (3*t[4])/2 - (97*t[5])/8 + (7*t[6])/16 + (107*t[7])/4 - 
       5*t[8] + (115*t[9])/4 + (37*t[10])/4 + (69*t[11])/16 + (47*t[12])/8 - 
       (667*t[13])/72 + (1073*t[14])/48 - (35*t[15])/48 + t[19] + t[20] + 
       t[21] - t[22] - t[23] - 2*t[25] + t[26] + 2*t[27] - (5*t[29])/2 - 
       t[30] + t[31] + (15*t[32])/2 - t[33] - (5*t[34])/2 + t[37] + 
       (3*t[38])/2 + 3*t[39] - 3*t[40] + (5*t[41])/4 - (5*t[42])/4 - t[43] + 
       (33*t[44])/4 + t[45] - t[46] - (47*t[48])/16 + (7*t[49])/4 + 
       (133*t[50])/16 + (5*t[51])/8 - (77*t[52])/16 + (5*t[53])/4 - 
       (13*t[54])/16 - t[59]/2 + (169*t[60])/8 + (141*t[61])/8 - 
       (445*t[62])/16 - (219*t[63])/16 - (767*t[64])/16 - (41*t[65])/24 - 
       (97*t[66])/8 + 2*t[70] - 2*t[71] + 4*t[72] + t[74] + 3*t[76] + t[77] - 
       7*t[78] - 6*t[80] + t[81]/2 - t[82]/2 + t[83] + (11*t[84])/8 + 
       (37*t[85])/8 - 10*t[86] - (101*t[87])/8 + (59*t[88])/16 + 
       (7*t[89])/16 - 2*t[95] + 3*t[97] + 12*t[98] - 24*t[99] + 30*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      (t[1] + 3*t[2] + (61*t[3])/8 + 8*t[4] + (23*t[5])/8 - (35*t[6])/3 - 
       (119*t[7])/12 - (25*t[8])/2 - (277*t[9])/24 + (13*t[10])/4 + 
       (17*t[11])/12 - (65*t[12])/8 + (35*t[13])/8 - (1183*t[14])/72 - 
       (253*t[15])/36 + 3*t[28] - (25*t[29])/12 + t[30]/6 - 2*t[31] + 
       (4*t[32])/3 - t[33]/2 - (19*t[34])/3 - 4*t[35] + 2*t[38] + 3*t[40] - 
       (11*t[44])/12 + 7*t[45] - 5*t[47] + (7*t[48])/3 - 4*t[49] - 
       (29*t[50])/12 + 3*t[51] - (43*t[52])/12 + 4*t[53] - (14*t[54])/3 - 
       (2*t[59])/3 + (23*t[60])/2 - (32*t[61])/3 + (61*t[62])/24 - 
       (737*t[63])/24 - (83*t[64])/12 - (41*t[65])/6 - (305*t[66])/18 - 
       2*t[72] - t[73] + (4*t[74])/3 + 3*t[75] - 7*t[76] + 4*t[78] + t[79] - 
       6*t[80] - (5*t[81])/3 - t[82]/3 - 5*t[83] + (31*t[84])/6 - 
       (23*t[85])/6 - 11*t[86] + (101*t[87])/12 + (133*t[88])/24 + 
       (137*t[89])/12 - (8*t[95])/3 - t[97] - 48*t[98] + 48*t[99] + 
       30*t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (t[1]/4 + t[2]/48 - (497*t[3])/32 - (569*t[4])/48 - (1681*t[5])/96 + 
       (1431*t[6])/64 - (49*t[7])/8 + (1547*t[8])/24 + (229*t[9])/24 + 
       (397*t[10])/96 - (2491*t[11])/64 + (73*t[12])/48 - (17143*t[13])/864 + 
       (4447*t[14])/288 + (121*t[15])/64 + (2*t[20])/3 - t[22]/2 + 
       (7*t[24])/6 + t[27]/6 + (3*t[28])/2 + t[29]/6 + (7*t[30])/4 - 
       (4*t[31])/3 + (157*t[32])/48 + (5*t[33])/6 + (13*t[34])/6 - 
       (5*t[35])/3 - (5*t[36])/4 + (5*t[37])/12 - t[38]/6 + t[39]/6 + 
       (25*t[40])/48 + (5*t[41])/24 - (5*t[42])/24 + (5*t[43])/24 - 
       (173*t[44])/24 - t[45] - t[46]/8 + t[47]/4 + (617*t[48])/64 - 
       (41*t[49])/96 - (155*t[50])/64 + (67*t[51])/192 + (347*t[52])/64 - 
       (103*t[53])/96 + (4613*t[54])/192 - (5*t[59])/6 - (119*t[60])/96 - 
       (515*t[61])/32 + (3785*t[62])/192 + (1135*t[63])/192 - 
       (2039*t[64])/192 + (6859*t[65])/288 + (7231*t[66])/96 + t[69]/2 + 
       (7*t[70])/6 - (7*t[71])/6 - (5*t[72])/6 - (11*t[73])/6 + t[74]/2 + 
       (8*t[75])/3 - (25*t[76])/6 + (5*t[77])/12 - (4*t[78])/3 + 
       (7*t[79])/2 + 2*t[80] - (11*t[81])/4 + (15*t[82])/4 - (59*t[83])/12 + 
       (323*t[84])/96 + (201*t[85])/32 - (37*t[86])/6 - (139*t[87])/32 + 
       (607*t[88])/192 + (4015*t[89])/192 - (3*t[95])/2 - (5*t[96])/3 + 
       t[97]/2 + 7*t[98] - 14*t[99] + (65*t[100])/2) + 
     HPL[{0, 1}, 1 - u]*M1[v, u, w]*(-t[1]/2 - (4*t[2])/3 + (319*t[3])/24 - 
       (20*t[4])/3 + (35*t[5])/6 - (121*t[6])/48 - (35*t[7])/12 - 
       (89*t[8])/6 - (323*t[9])/24 - (14*t[10])/3 - (643*t[11])/48 - 
       2*t[12] - (281*t[13])/108 - (2071*t[14])/144 - (115*t[15])/108 - 
       t[18] - t[20] + t[22] + (2*t[24])/3 + t[27]/3 - t[29]/6 - 
       (5*t[30])/3 + t[31] - (11*t[32])/3 + (11*t[33])/3 + t[34] - 
       (2*t[37])/3 - t[38]/3 - (7*t[39])/6 + (2*t[40])/3 - t[41]/3 + 
       t[42]/3 + t[43]/6 + (13*t[44])/12 - (17*t[45])/6 + (3*t[47])/2 - 
       (53*t[48])/16 + (7*t[50])/16 - t[51]/6 + (11*t[52])/48 - (2*t[53])/3 - 
       (47*t[54])/16 - t[59]/6 - (521*t[60])/24 - (949*t[61])/24 + 
       (1225*t[62])/48 + (535*t[63])/48 + (91*t[64])/48 + (443*t[65])/72 + 
       (1993*t[66])/72 + t[69] + t[70]/3 - t[71]/3 - (2*t[72])/3 + t[76]/3 - 
       t[77]/3 - (14*t[78])/3 + (10*t[80])/3 - 3*t[81] + (29*t[82])/6 - 
       (2*t[83])/3 - (73*t[84])/24 + (179*t[85])/24 - 2*t[86] + 
       (25*t[87])/24 - (45*t[88])/16 - (103*t[89])/48 - t[96]/3 - t[97] + 
       8*t[98] - 12*t[99] + 33*t[100]) + HPL[{0, 1}, 1 - u]*M1[w, v, u]*
      (-t[1]/4 - (19*t[2])/6 + (19*t[3])/3 - (59*t[4])/6 + (25*t[5])/6 + 
       (43*t[6])/12 - (71*t[7])/6 - t[8]/6 - (185*t[9])/12 - (25*t[10])/12 - 
       (47*t[11])/3 - t[12]/2 - (673*t[13])/108 - (799*t[14])/72 + 
       (119*t[15])/54 + t[24]/3 - t[27]/3 - (4*t[29])/3 - t[30]/3 + t[31] - 
       (4*t[32])/3 + (10*t[33])/3 - (3*t[34])/2 - t[37]/3 - t[38]/6 - 
       (7*t[39])/3 + (5*t[40])/6 - (5*t[41])/12 + (5*t[42])/12 - t[43]/6 + 
       (7*t[44])/6 - (7*t[45])/6 + t[47]/2 + 3*t[48] - (9*t[49])/4 + t[50] + 
       (31*t[51])/24 + (5*t[52])/6 + (11*t[53])/12 + (5*t[54])/2 + 
       (2*t[59])/3 - (47*t[60])/3 - (67*t[61])/3 + (481*t[62])/24 + 
       (343*t[63])/24 - (7*t[64])/3 + (713*t[65])/36 + (328*t[66])/9 + 
       (2*t[70])/3 - (2*t[71])/3 + (2*t[72])/3 - (29*t[76])/6 - (2*t[77])/3 + 
       (8*t[78])/3 - t[80]/3 - (7*t[81])/2 + (19*t[82])/6 + (2*t[83])/3 - 
       (19*t[84])/12 + (35*t[85])/12 - 4*t[86] + (25*t[87])/12 + 
       (31*t[88])/8 - t[89]/6 - (11*t[96])/3 - t[97] - 20*t[98] + 12*t[99] + 
       33*t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - w]*
      ((9*t[1])/4 - (51*t[2])/8 - (27*t[3])/8 + (285*t[4])/16 - 
       (553*t[5])/16 + (661*t[6])/32 - (13*t[7])/2 + (643*t[8])/8 + 
       (99*t[9])/8 + (221*t[10])/32 - (909*t[11])/32 - (337*t[12])/32 - 
       (23*t[13])/3 + (901*t[14])/192 - (437*t[15])/288 - t[28] + 
       (51*t[29])/8 + 3*t[30] - 3*t[31] + (3*t[32])/2 - (3*t[33])/4 - 
       (51*t[34])/4 - 6*t[35] + (27*t[38])/8 + (9*t[39])/8 + (33*t[40])/4 + 
       (3*t[41])/8 - (3*t[42])/8 - (101*t[44])/8 + (21*t[45])/2 - 
       (27*t[47])/4 + (343*t[48])/32 - (129*t[49])/32 - (145*t[50])/32 + 
       (237*t[51])/64 - (167*t[52])/32 + (177*t[53])/32 + (931*t[54])/32 - 
       (61*t[60])/8 + (189*t[61])/8 + (35*t[62])/2 - 26*t[63] - 
       (301*t[64])/8 + (395*t[65])/12 + (227*t[66])/3 - 3*t[72] - 3*t[73] - 
       3*t[75] - (33*t[76])/2 + (3*t[77])/4 + (9*t[78])/4 + 3*t[79] - 
       (15*t[80])/2 - (9*t[81])/4 - (9*t[82])/4 + t[83] + (15*t[84])/2 - 
       (9*t[85])/2 - 13*t[86] + (79*t[87])/8 + (85*t[88])/16 + 
       (885*t[89])/16 + (9*t[96])/4 - 54*t[98] + 54*t[99] + 33*t[100]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - u]*((-27*t[1])/8 + 
       (231*t[2])/16 - 11*t[3] - (169*t[4])/8 - (531*t[5])/32 + 
       (71*t[6])/32 + (399*t[7])/16 - (633*t[8])/16 + (1423*t[9])/32 - 
       (97*t[10])/8 - (941*t[11])/32 - (11*t[12])/32 - (683*t[13])/48 + 
       (1175*t[14])/96 + (737*t[15])/576 - 2*t[20] - 3*t[23] - 3*t[24] - 
       4*t[28] + t[29]/2 + (3*t[30])/8 + 3*t[31] + (7*t[32])/8 - 
       (17*t[33])/8 + 7*t[34] + 6*t[35] - (9*t[38])/4 - (9*t[39])/2 + 
       (15*t[40])/8 - (3*t[41])/2 + (3*t[42])/2 + (15*t[44])/4 - 
       (21*t[45])/8 - (9*t[47])/8 - (463*t[48])/32 - (53*t[49])/16 + 
       (589*t[50])/32 + (17*t[51])/32 - (421*t[52])/32 - (43*t[53])/16 + 
       (103*t[54])/32 - (81*t[59])/16 + (189*t[60])/16 - (877*t[61])/16 + 
       (1185*t[62])/32 + (1835*t[63])/32 - (1991*t[64])/32 + (313*t[65])/16 + 
       (649*t[66])/16 - (75*t[76])/8 - 3*t[77] + (27*t[78])/2 - 
       (15*t[80])/4 + (27*t[81])/8 + (27*t[82])/8 + 7*t[83] + 
       (313*t[84])/16 + (425*t[85])/16 + 8*t[86] - (327*t[87])/16 - 
       (315*t[88])/32 - (303*t[89])/32 - 9*t[96] - (45*t[97])/8 - 54*t[98] + 
       54*t[99] + 33*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*(t[1] - (19*t[2])/2 + 19*t[3] - (37*t[4])/2 - 
       (9*t[5])/4 - (5*t[6])/2 + (7*t[7])/2 - (53*t[8])/2 + (19*t[9])/4 - 
       (19*t[10])/4 - 10*t[11] + 10*t[12] + (13*t[13])/3 - (373*t[14])/24 - 
       (29*t[15])/8 - 2*t[25] + 2*t[26] - 4*t[29] - 4*t[30] + 4*t[31] - 
       4*t[32] + 4*t[33] - 4*t[37] - t[38] + 4*t[39] - 7*t[40] + t[43] + 
       6*t[44] - 7*t[45] + 2*t[46] + 7*t[47] - (27*t[48])/2 - (23*t[49])/4 + 
       t[50]/2 + (3*t[51])/8 + (11*t[52])/2 + (23*t[53])/4 - 6*t[54] + 
       (5*t[59])/2 - 15*t[60] - 40*t[61] + (33*t[62])/2 + (19*t[63])/2 + 
       (5*t[64])/2 + 4*t[65] + 14*t[66] - 4*t[72] + 8*t[76] - 17*t[78] + 
       18*t[80] - t[81] + 5*t[82] - 10*t[84] + 11*t[85] - 4*t[86] - 
       17*t[87] - (17*t[88])/2 - 2*t[89] + t[97] + 48*t[98] - 48*t[99] + 
       36*t[100]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      (t[1] - (19*t[2])/2 + 19*t[3] - (37*t[4])/2 - (9*t[5])/4 - (5*t[6])/2 + 
       (7*t[7])/2 - (53*t[8])/2 + (19*t[9])/4 - (19*t[10])/4 - 10*t[11] + 
       10*t[12] + (13*t[13])/3 - (373*t[14])/24 - (29*t[15])/8 - 2*t[25] + 
       2*t[26] - 4*t[29] - 4*t[30] + 4*t[31] - 4*t[32] + 4*t[33] - 4*t[37] - 
       t[38] + 4*t[39] - 7*t[40] + t[43] + 6*t[44] - 7*t[45] + 2*t[46] + 
       7*t[47] - (27*t[48])/2 - (23*t[49])/4 + t[50]/2 + (3*t[51])/8 + 
       (11*t[52])/2 + (23*t[53])/4 - 6*t[54] + (5*t[59])/2 - 15*t[60] - 
       40*t[61] + (33*t[62])/2 + (19*t[63])/2 + (5*t[64])/2 + 4*t[65] + 
       14*t[66] - 4*t[72] + 8*t[76] - 17*t[78] + 18*t[80] - t[81] + 5*t[82] - 
       10*t[84] + 11*t[85] - 4*t[86] - 17*t[87] - (17*t[88])/2 - 2*t[89] + 
       t[97] + 48*t[98] - 48*t[99] + 36*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      (2*t[1] - (5*t[2])/2 + 6*t[3] + (29*t[4])/2 + 3*t[5] - (85*t[6])/4 + 
       36*t[7] - 73*t[8] + 8*t[9] + (21*t[10])/4 + (97*t[11])/4 - 
       (15*t[12])/4 - (55*t[13])/18 + (169*t[14])/24 - (11*t[15])/6 - 
       4*t[25] + 2*t[26] - 2*t[29] + 4*t[30] + 2*t[31] - 2*t[34] + 2*t[37] + 
       3*t[38] + 2*t[39] + t[41] - t[42] - t[43] + 9*t[44] - 2*t[46] - 
       (63*t[48])/4 + (43*t[49])/4 + (49*t[50])/4 - (23*t[51])/8 - 
       (49*t[52])/4 - (19*t[53])/4 - (83*t[54])/4 - t[59]/2 - (37*t[60])/2 + 
       (29*t[61])/2 - (59*t[62])/2 + (35*t[63])/2 - (173*t[64])/4 - 
       (85*t[65])/3 - (57*t[66])/2 - 2*t[72] + 9*t[76] + 2*t[77] - 19*t[78] - 
       16*t[80] - 2*t[82] + 2*t[83] - 12*t[84] + 4*t[85] - 12*t[86] - 
       14*t[87] - 6*t[88] - (45*t[89])/4 + 6*t[96] + 3*t[97] + 48*t[98] - 
       48*t[99] + 36*t[100]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (2*t[1] - (5*t[2])/2 + 6*t[3] + (29*t[4])/2 + 3*t[5] - (85*t[6])/4 + 
       36*t[7] - 73*t[8] + 8*t[9] + (21*t[10])/4 + (97*t[11])/4 - 
       (15*t[12])/4 - (55*t[13])/18 + (169*t[14])/24 - (11*t[15])/6 - 
       4*t[25] + 2*t[26] - 2*t[29] + 4*t[30] + 2*t[31] - 2*t[34] + 2*t[37] + 
       3*t[38] + 2*t[39] + t[41] - t[42] - t[43] + 9*t[44] - 2*t[46] - 
       (63*t[48])/4 + (43*t[49])/4 + (49*t[50])/4 - (23*t[51])/8 - 
       (49*t[52])/4 - (19*t[53])/4 - (83*t[54])/4 - t[59]/2 - (37*t[60])/2 + 
       (29*t[61])/2 - (59*t[62])/2 + (35*t[63])/2 - (173*t[64])/4 - 
       (85*t[65])/3 - (57*t[66])/2 - 2*t[72] + 9*t[76] + 2*t[77] - 19*t[78] - 
       16*t[80] - 2*t[82] + 2*t[83] - 12*t[84] + 4*t[85] - 12*t[86] - 
       14*t[87] - 6*t[88] - (45*t[89])/4 + 6*t[96] + 3*t[97] + 48*t[98] - 
       48*t[99] + 36*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2*((-7*t[1])/4 - (779*t[2])/48 + (635*t[3])/24 + 
       (329*t[4])/32 + (775*t[5])/64 - (217*t[6])/16 + (99*t[7])/16 - 
       (3529*t[8])/48 - (5435*t[9])/192 + (3001*t[10])/192 + (313*t[11])/32 + 
       (1405*t[12])/48 - (6893*t[13])/864 + (119*t[14])/384 + 
       (5531*t[15])/3456 - t[17]/2 + t[19]/2 + (23*t[20])/3 - (3*t[21])/2 - 
       4*t[22] + (3*t[23])/2 - (7*t[24])/2 - (7*t[27])/12 - (9*t[28])/2 - 
       (3*t[29])/8 - (13*t[30])/4 + (37*t[31])/6 - (31*t[32])/12 - 
       (5*t[33])/6 + (19*t[34])/4 - t[35] - (11*t[36])/6 + (7*t[37])/4 - 
       t[38]/12 - (7*t[39])/4 - (17*t[40])/4 + (17*t[41])/24 - 
       (17*t[42])/24 - (239*t[43])/96 + (49*t[44])/48 - (361*t[45])/24 - 
       (17*t[46])/8 + (44*t[47])/3 - (67*t[48])/4 + (853*t[49])/64 + 
       (19*t[50])/8 - (645*t[51])/128 + (83*t[52])/24 - (2047*t[53])/192 - 
       (693*t[54])/32 - t[56]/4 - t[57]/2 - (13*t[59])/48 - (2543*t[60])/96 - 
       (1029*t[61])/32 + (619*t[62])/64 + (8243*t[63])/192 - 
       (8459*t[64])/192 - (7895*t[65])/288 + (8255*t[66])/288 + 2*t[68] + 
       (5*t[69])/2 - t[70] + t[71] - (31*t[72])/6 - (31*t[73])/6 - 
       (41*t[74])/4 + (23*t[75])/3 + (41*t[76])/24 + (11*t[77])/6 + 
       (5*t[78])/3 + (17*t[79])/6 - (59*t[80])/6 - (67*t[81])/12 + 
       (83*t[82])/8 - (17*t[83])/4 - (947*t[84])/32 - (349*t[85])/32 - 
       (323*t[86])/8 - (2009*t[87])/96 - (2905*t[88])/192 - (1913*t[89])/64 + 
       t[91]/24 + t[93]/2 + (31*t[95])/6 + (29*t[96])/4 + (91*t[97])/24 + 
       26*t[98] - 5*t[99] + 38*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((5*t[1])/8 - (539*t[2])/144 + (595*t[3])/72 - 
       (25*t[4])/24 + (31*t[5])/12 - (1291*t[6])/96 + (3107*t[7])/144 - 
       (2371*t[8])/72 + (87*t[9])/8 + (737*t[10])/144 + (3365*t[11])/288 + 
       (1129*t[12])/144 - (1561*t[13])/648 + (973*t[14])/216 - 
       (1363*t[15])/2592 + t[19]/2 + (2*t[20])/9 + t[21]/2 - t[22]/2 - 
       t[23]/2 - (5*t[24])/18 - t[25] + (13*t[27])/18 - (7*t[29])/9 - 
       (13*t[30])/6 + (5*t[31])/6 + (25*t[32])/144 - (19*t[33])/18 - 
       (55*t[34])/36 + (9*t[36])/4 + (25*t[37])/18 + (17*t[38])/18 + 
       (113*t[39])/36 - (205*t[40])/72 + (53*t[41])/72 - (53*t[42])/72 + 
       t[43]/36 + (13*t[44])/3 - (49*t[45])/12 - (5*t[46])/12 + 
       (77*t[47])/12 - (671*t[48])/96 + (193*t[49])/144 + (1879*t[50])/288 - 
       (59*t[51])/96 - (1135*t[52])/288 + (319*t[53])/144 - 
       (3497*t[54])/288 + (55*t[59])/72 - (2861*t[60])/144 - (23*t[61])/72 - 
       (6247*t[62])/288 + (5203*t[63])/288 - (125*t[64])/16 - 
       (541*t[65])/144 + (943*t[66])/432 - t[70]/9 + t[71]/9 + (5*t[72])/3 - 
       (9*t[73])/4 - t[74] + (9*t[75])/4 + (193*t[76])/36 - (25*t[77])/36 - 
       (373*t[78])/36 - (17*t[79])/3 + (8*t[80])/3 - (215*t[81])/72 + 
       (113*t[82])/72 + (23*t[83])/9 - (503*t[84])/48 - (23*t[85])/9 + 
       (5*t[86])/6 - (1265*t[87])/144 - (451*t[88])/96 - (875*t[89])/96 + 
       (7*t[95])/3 + (31*t[96])/9 + (9*t[97])/4 + (103*t[98])/3 - 47*t[99] + 
       (77*t[100])/2) + HPL[{0, 1}, 1 - w]*M1[v, u, w]*
      ((-3*t[1])/2 - (11*t[2])/6 + (17*t[3])/6 - (7*t[4])/2 - t[5] - 
       (41*t[6])/16 - (20*t[7])/3 - (175*t[8])/12 + (37*t[9])/8 + t[10]/12 - 
       (457*t[11])/48 + (11*t[12])/3 - (389*t[13])/216 - (371*t[14])/144 - 
       (1087*t[15])/432 + t[18] + (4*t[20])/3 - t[22] + t[24]/3 + t[27]/3 + 
       t[29]/3 + t[31] - (10*t[32])/3 - t[33]/3 + (13*t[34])/3 + 
       (4*t[37])/3 - t[38]/3 - (7*t[39])/6 + t[40]/6 - t[41]/3 + t[42]/3 + 
       t[43]/6 - (3*t[44])/2 - (5*t[45])/2 + (5*t[47])/2 - (59*t[48])/16 + 
       (5*t[49])/12 + (43*t[50])/48 - (3*t[51])/8 + (5*t[52])/48 - 
       (13*t[53])/12 - (23*t[54])/48 - (2*t[59])/3 + t[60]/24 - 
       (805*t[61])/24 + (665*t[62])/48 + (127*t[63])/48 + (5*t[64])/16 + 
       (31*t[65])/8 + (937*t[66])/72 - t[69] - (5*t[70])/3 + (5*t[71])/3 - 
       t[72] + (2*t[76])/3 - (2*t[77])/3 + (7*t[78])/3 - 2*t[80] + t[81]/3 + 
       (7*t[82])/6 - (5*t[83])/3 + (5*t[84])/8 + (163*t[85])/24 - 2*t[86] - 
       (47*t[87])/24 - (69*t[88])/16 + (57*t[89])/16 - t[96]/3 - t[97] + 
       8*t[98] - 12*t[99] + 39*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*(-t[1] - (61*t[2])/9 - (913*t[3])/576 - 
       (845*t[4])/36 + (62*t[5])/3 + (4619*t[6])/1152 - (14117*t[7])/288 - 
       (529*t[8])/72 - (26107*t[9])/576 - (343*t[10])/144 - 
       (44963*t[11])/1152 + (275*t[12])/72 - (14909*t[13])/5184 - 
       (42953*t[14])/1152 - (10921*t[15])/648 + 2*t[20] - 2*t[22] - 
       (7*t[24])/9 + (7*t[27])/9 - (22*t[28])/9 - (209*t[29])/36 - 
       (239*t[30])/36 + 4*t[31] + (119*t[32])/72 + (53*t[33])/36 + 
       (23*t[34])/12 + (41*t[35])/6 + (10*t[36])/3 + (7*t[37])/9 - 
       (19*t[38])/36 - (19*t[39])/18 - (877*t[40])/144 + (11*t[41])/36 - 
       (11*t[42])/36 - (61*t[43])/36 + (487*t[44])/96 + (5*t[45])/9 + 
       (7*t[46])/24 + (10993*t[48])/1152 - (109*t[49])/12 - 
       (24235*t[50])/1152 + (683*t[51])/288 + (27371*t[52])/1152 + 
       (199*t[53])/36 + (9043*t[54])/1152 - (8*t[59])/9 + (3023*t[60])/192 - 
       (44663*t[61])/576 + (65335*t[62])/1152 - (75647*t[63])/1152 + 
       (105469*t[64])/1152 + (6133*t[65])/192 - (23345*t[66])/1728 + 
       2*t[69] + (7*t[70])/9 - (7*t[71])/9 - (2*t[72])/9 + (77*t[73])/12 - 
       (19*t[75])/4 + (125*t[76])/18 - (29*t[77])/18 + (181*t[78])/36 + 
       (27*t[79])/4 - (187*t[80])/18 + (41*t[81])/12 + (181*t[82])/36 - 
       (131*t[83])/18 + (6661*t[84])/576 + (10189*t[85])/576 - 
       (781*t[86])/36 + (17287*t[87])/576 + (21767*t[88])/1152 + 
       (8851*t[89])/1152 - (7*t[95])/3 - (64*t[96])/9 - (11*t[97])/4 - 
       (67*t[98])/3 + 19*t[99] + (235*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-t[1] + (9*t[2])/4 - (57*t[3])/16 - 5*t[4] - (53*t[5])/3 - 
       (49*t[6])/12 + (133*t[7])/8 - (871*t[8])/24 + (449*t[9])/24 - 
       (91*t[10])/12 - (67*t[11])/3 - (251*t[12])/24 - (1247*t[13])/144 + 
       (7*t[14])/8 - (2893*t[15])/864 - (17*t[28])/3 - (43*t[29])/12 + 
       (5*t[30])/12 - 2*t[31] - (13*t[32])/6 + (5*t[33])/4 - (11*t[34])/6 - 
       4*t[35] + t[38] - 3*t[39] + 5*t[40] - t[41] + t[42] + (41*t[44])/12 + 
       7*t[45] - 7*t[47] - (317*t[48])/24 - 8*t[49] + (99*t[50])/8 + 
       (9*t[51])/2 - (131*t[52])/8 + 4*t[53] + (71*t[54])/12 - 
       (11*t[59])/12 + (139*t[60])/6 - (59*t[61])/3 + (181*t[62])/12 - 
       (11*t[63])/3 - (443*t[64])/8 + (467*t[65])/72 + (359*t[66])/24 - 
       2*t[72] - 3*t[73] + (10*t[74])/3 - 7*t[75] - 15*t[76] - 2*t[77] + 
       14*t[78] + 3*t[79] - 10*t[80] - (2*t[81])/3 + (8*t[82])/3 + 
       (14*t[83])/3 + (619*t[84])/24 + (367*t[85])/24 - (11*t[86])/3 - 
       (7*t[87])/8 + (103*t[88])/48 + (41*t[89])/3 - (20*t[95])/3 - 6*t[96] - 
       5*t[97] - 96*t[98] + 96*t[99] + 40*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((19*t[1])/24 + (283*t[2])/24 - (4189*t[3])/192 - (115*t[4])/8 - 
       (803*t[5])/288 + (137*t[6])/288 + (2531*t[7])/96 + (5701*t[8])/288 + 
       (158*t[9])/9 - (347*t[10])/144 - (7027*t[11])/288 - (533*t[12])/144 - 
       (40003*t[13])/1728 + (53*t[14])/288 + (28729*t[15])/10368 - t[18]/2 - 
       t[19]/2 + t[20]/4 + t[21]/2 - t[24]/6 + t[27]/6 - (22*t[28])/9 + 
       (1279*t[29])/144 - (109*t[30])/72 - (5*t[31])/6 + (1003*t[32])/72 - 
       (43*t[33])/6 + (5*t[34])/72 - t[35]/6 + (5*t[36])/4 + (5*t[37])/3 + 
       (7*t[38])/6 - (17*t[39])/6 + (101*t[40])/24 - t[41]/6 - t[42]/12 + 
       (5*t[43])/6 - (209*t[44])/144 + (41*t[45])/8 - (3*t[46])/8 - 
       (107*t[47])/24 + (979*t[48])/144 - (239*t[49])/48 + (61*t[50])/6 + 
       (143*t[51])/48 - (163*t[52])/12 + (223*t[53])/48 + (3041*t[54])/288 - 
       (161*t[59])/72 + (341*t[60])/72 - (76*t[61])/9 - (2573*t[62])/288 - 
       (4877*t[63])/288 - (271*t[64])/96 + (12457*t[65])/864 + 
       (4679*t[66])/96 - t[69]/4 + (5*t[70])/3 - (5*t[71])/3 - (5*t[72])/12 - 
       t[73] + (23*t[74])/36 - (25*t[75])/12 - (61*t[76])/8 - (7*t[77])/6 + 
       (121*t[78])/12 + 4*t[79] - (7*t[80])/3 - (575*t[81])/72 + 
       (329*t[82])/72 - (55*t[83])/72 + (2303*t[84])/288 + (35*t[85])/288 + 
       (313*t[86])/18 + (2905*t[87])/96 + (10991*t[88])/576 + 
       (1405*t[89])/144 - (59*t[95])/18 - (5*t[96])/3 - t[97]/24 - 40*t[98] + 
       34*t[99] + (985*t[100])/24) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((-47*t[1])/12 + 14*t[2] - 
       (371*t[3])/48 + (1073*t[4])/48 + (16*t[5])/3 + (245*t[6])/32 - 
       (251*t[7])/12 + (737*t[8])/24 - (421*t[9])/48 - (605*t[10])/96 + 
       (273*t[11])/32 - (757*t[12])/96 + (6929*t[13])/288 - 
       (4117*t[14])/576 + (5975*t[15])/864 + t[22] - t[24]/3 + (17*t[25])/6 - 
       t[26]/6 + 3*t[27] + (13*t[28])/6 + (25*t[29])/24 - (16*t[30])/3 - 
       t[31]/2 + (17*t[32])/6 - (2*t[33])/3 - t[34]/3 + 2*t[35] - 
       (19*t[36])/6 - t[37]/2 - (15*t[38])/4 - (67*t[39])/12 - t[40]/6 - 
       (23*t[41])/12 + (23*t[42])/12 - (5*t[43])/3 - (161*t[44])/24 - 
       (13*t[45])/6 - (7*t[46])/12 + (7*t[47])/2 + (823*t[48])/96 - 
       (273*t[49])/32 + (235*t[50])/96 + (379*t[51])/192 - (155*t[52])/96 - 
       (205*t[53])/96 - (529*t[54])/96 + (7*t[59])/6 + (1573*t[60])/48 - 
       (393*t[61])/16 - (475*t[62])/32 - (10055*t[63])/96 - (1571*t[64])/96 - 
       (2215*t[65])/144 - (2993*t[66])/48 - t[69] - t[72]/6 - (5*t[73])/2 + 
       (26*t[74])/3 + 14*t[75] - (85*t[76])/6 - (5*t[77])/6 + (175*t[78])/6 - 
       (25*t[79])/2 - (7*t[81])/4 - (59*t[82])/12 + (19*t[83])/6 + 
       (197*t[84])/48 + (53*t[85])/16 + (157*t[86])/6 + (673*t[87])/48 + 
       (1153*t[88])/96 + (119*t[89])/96 - (28*t[95])/3 - (31*t[96])/3 - 
       (29*t[97])/6 - 90*t[98] + 89*t[99] + 42*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((9*t[1])/4 + (193*t[2])/24 - (19*t[3])/3 - (37*t[4])/6 + (17*t[5])/2 + 
       (131*t[6])/24 + (569*t[7])/24 + (311*t[8])/12 + (259*t[9])/24 - 
       (257*t[10])/24 - (68*t[11])/3 - (109*t[12])/24 - (6053*t[13])/216 - 
       (529*t[14])/144 + (1373*t[15])/216 - t[19]/2 + (5*t[20])/3 + t[21]/2 - 
       (3*t[22])/2 - t[23]/2 - t[24]/6 + t[27]/3 - (17*t[28])/6 + 12*t[29] + 
       (3*t[30])/4 + t[31] + (187*t[32])/12 - (53*t[33])/12 - (53*t[34])/6 + 
       t[35] - 2*t[36] + t[37]/3 + (8*t[38])/3 - (31*t[39])/6 + 
       (20*t[40])/3 - t[41]/3 + t[42]/12 + (7*t[43])/6 + (5*t[44])/2 + 
       (33*t[45])/4 - (3*t[46])/2 - (39*t[47])/4 + (49*t[48])/3 - 
       (25*t[49])/8 + (71*t[50])/8 + (169*t[51])/48 - (103*t[52])/8 + 
       (59*t[53])/24 + (101*t[54])/8 - (17*t[59])/24 + (73*t[60])/6 + 
       (31*t[61])/8 + (367*t[62])/24 - (305*t[63])/24 - (3007*t[64])/48 + 
       (55*t[65])/6 + (671*t[66])/9 - t[69] + (7*t[70])/3 - (7*t[71])/3 - 
       (5*t[72])/2 - (3*t[73])/2 + (5*t[74])/2 - t[75]/2 - (169*t[76])/12 - 
       t[77]/6 + (133*t[78])/12 + (29*t[79])/4 - t[80] - (203*t[81])/12 + 
       (55*t[82])/6 - (89*t[83])/6 + (13*t[84])/3 - (157*t[85])/24 - 
       (25*t[86])/12 + (43*t[87])/6 + (61*t[88])/4 + (51*t[89])/8 - 6*t[95] - 
       (10*t[96])/3 + t[97]/4 - 90*t[98] + 89*t[99] + 42*t[100]) + 
     HPL[{1}, 1 - u]^2*Qep[w, v, u]*(76*t[3] + (1274*t[5])/9 - (964*t[6])/9 - 
       (584*t[7])/9 - (2620*t[8])/9 - (250*t[9])/3 - (44*t[10])/9 + 
       112*t[11] + (22*t[12])/9 + (188*t[13])/3 - (3302*t[14])/27 - 
       (3319*t[15])/81 + (272*t[28])/9 + (4*t[29])/3 - 16*t[30] + 
       (32*t[31])/3 + (64*t[35])/3 - 16*t[40] + (68*t[44])/9 + (32*t[48])/9 - 
       (236*t[50])/9 + (236*t[52])/9 - (964*t[54])/9 + (1264*t[60])/9 - 
       (544*t[61])/3 - (446*t[62])/9 - (1778*t[63])/9 + (1024*t[64])/9 - 
       (5116*t[65])/27 - (9796*t[66])/27 + (32*t[72])/3 + 16*t[73] + 
       (80*t[75])/3 + 32*t[76] - 16*t[79] - (272*t[83])/9 - (52*t[84])/3 - 
       (52*t[85])/3 + (176*t[86])/9 - (544*t[87])/9 - (272*t[88])/9 - 
       112*t[89] + (128*t[100])/3) + HPL[{1}, 1 - w]^2*Qep[u, v, w]*
      ((44*t[2])/9 + (160*t[3])/9 - (68*t[4])/9 + (88*t[5])/3 - (56*t[6])/9 - 
       (16*t[7])/3 - (140*t[8])/3 + (20*t[9])/9 - (26*t[10])/9 - 
       (76*t[11])/9 - (130*t[12])/9 - (376*t[13])/27 - (293*t[14])/27 - 
       (292*t[15])/81 + (64*t[20])/9 + (32*t[23])/3 + (32*t[24])/3 + 
       (128*t[28])/9 + (176*t[29])/9 + (8*t[30])/3 - (32*t[31])/3 + 
       (296*t[32])/9 - (232*t[33])/9 + (64*t[34])/9 - 32*t[35] - 16*t[44] + 
       (100*t[48])/9 - (2*t[49])/9 + (80*t[50])/9 + t[51]/9 - (80*t[52])/9 + 
       (2*t[53])/9 - (52*t[54])/9 + (8*t[59])/9 + (52*t[60])/3 - 
       (520*t[61])/9 + (98*t[62])/3 + (10*t[63])/9 - (412*t[64])/9 - 
       (452*t[65])/9 + (644*t[66])/9 + (16*t[73])/3 + (16*t[74])/3 + 
       16*t[75] + (16*t[79])/3 - (8*t[81])/3 + (8*t[82])/3 - (368*t[83])/9 - 
       (140*t[84])/9 - (208*t[85])/9 - (400*t[86])/9 - (140*t[87])/3 - 
       (70*t[88])/3 - 34*t[89] + (128*t[100])/3) + 
     HPL[{1}, 1 - w]^2*Qep[w, v, u]*((-44*t[2])/3 + (160*t[3])/9 - 
       (68*t[4])/9 - 24*t[5] + (304*t[6])/9 - (16*t[7])/3 + 108*t[8] + 
       (116*t[9])/9 + (22*t[10])/9 - (436*t[11])/9 + (110*t[12])/9 - 
       (520*t[13])/27 - (797*t[14])/27 - (244*t[15])/81 + (64*t[20])/9 - 
       (32*t[23])/3 - (32*t[24])/3 + (128*t[28])/9 + (176*t[29])/9 + 
       (8*t[30])/3 + (32*t[31])/3 + (296*t[32])/9 - (232*t[33])/9 + 
       (64*t[34])/9 + (160*t[35])/3 + (16*t[44])/3 + (268*t[48])/9 - 
       (2*t[49])/9 - (88*t[50])/9 + t[51]/9 + (88*t[52])/9 + (2*t[53])/9 + 
       (308*t[54])/9 + (40*t[59])/9 - 52*t[60] - (376*t[61])/9 + 62*t[62] + 
       (418*t[63])/9 + (164*t[64])/9 + 60*t[65] + (1316*t[66])/9 + 
       (16*t[73])/3 - 16*t[74] + (112*t[75])/3 - 16*t[79] - (8*t[81])/3 + 
       (8*t[82])/3 - (272*t[83])/9 - (140*t[84])/9 - (16*t[85])/9 + 
       (176*t[86])/9 - (28*t[87])/3 - (14*t[88])/3 - (46*t[89])/3 + 
       (128*t[100])/3) + HPL[{1}, 1 - u]^2*Qep[u, v, w]*
      ((-76*t[3])/3 - (670*t[5])/9 + (764*t[6])/9 - (440*t[7])/9 + 
       (2324*t[8])/9 + (14*t[9])/3 + (100*t[10])/9 - 96*t[11] - 
       (50*t[12])/9 - (116*t[13])/3 + (514*t[14])/27 + (1757*t[15])/81 + 
       (80*t[28])/9 + 28*t[29] + (80*t[30])/3 - (32*t[31])/3 - (64*t[35])/3 + 
       16*t[40] - (268*t[44])/9 + (512*t[48])/9 - (140*t[50])/9 + 
       (140*t[52])/9 + (764*t[54])/9 - (752*t[60])/9 + (16*t[61])/3 + 
       (922*t[62])/9 + (982*t[63])/9 - (344*t[64])/9 + (3044*t[65])/27 + 
       (8252*t[66])/27 - (32*t[72])/3 - (16*t[73])/3 + (80*t[75])/3 - 
       32*t[76] + (16*t[79])/3 - (368*t[83])/9 - (20*t[84])/3 - 
       (20*t[85])/3 - (400*t[86])/9 + (32*t[87])/9 + (16*t[88])/9 + 
       96*t[89] + (128*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((-9*t[1])/8 + (31*t[2])/24 - (14557*t[3])/192 - 
       (505*t[4])/16 - (4303*t[5])/48 + (18497*t[6])/384 + (1487*t[7])/32 + 
       (4387*t[8])/48 + (14431*t[9])/192 + (169*t[10])/96 - 
       (9139*t[11])/128 - (619*t[12])/96 - (92161*t[13])/1728 + 
       (20791*t[14])/384 + (40579*t[15])/1728 + t[20] - (4*t[24])/3 + 
       (4*t[27])/3 - (17*t[28])/3 - (149*t[29])/24 + (77*t[30])/12 - 
       4*t[31] + (649*t[32])/48 - (25*t[33])/12 - (29*t[34])/6 - 
       (15*t[35])/2 + (19*t[36])/12 + (3*t[37])/4 - t[38]/2 - (17*t[39])/4 + 
       (19*t[40])/3 - (7*t[41])/12 + (7*t[42])/12 + (23*t[43])/24 + 
       (317*t[44])/32 + (29*t[45])/4 + t[46] - (15*t[47])/2 - 
       (4957*t[48])/384 - (883*t[49])/96 + (11983*t[50])/384 + 
       (1019*t[51])/192 - (11119*t[52])/384 + (137*t[53])/32 + 
       (22105*t[54])/384 + (61*t[59])/24 + (965*t[60])/64 + (2773*t[61])/64 - 
       (1161*t[62])/128 + (26683*t[63])/384 - (32945*t[64])/384 + 
       (4299*t[65])/64 + (33211*t[66])/192 - t[69] + (5*t[70])/2 - 
       (5*t[71])/2 - 3*t[72] - (131*t[73])/12 + (7*t[74])/6 - (3*t[75])/4 - 
       (57*t[76])/2 - (13*t[77])/12 + (163*t[78])/6 - (85*t[79])/12 - 
       (17*t[80])/2 - (19*t[81])/8 - (29*t[82])/8 + (83*t[83])/3 + 
       (5995*t[84])/192 + (2831*t[85])/192 + (311*t[86])/12 + 
       (8497*t[87])/192 + (12881*t[88])/384 + (17869*t[89])/384 - 
       (31*t[95])/6 - 11*t[96] - (8*t[97])/3 - 100*t[98] + 97*t[99] + 
       44*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - v]*((-21*t[2])/4 + (241*t[3])/8 + (21*t[4])/4 + (275*t[5])/8 + 
       (33*t[6])/4 - (317*t[7])/4 + (187*t[8])/4 - (569*t[9])/8 + 
       (3*t[10])/8 - (45*t[11])/4 - (3*t[12])/2 + (221*t[13])/24 - 
       (1087*t[14])/16 - (67*t[15])/18 + t[20] + 20*t[28] + 5*t[29] + 
       (21*t[30])/2 + 6*t[32] + (3*t[33])/2 - 6*t[34] + 2*t[35] - 
       (15*t[44])/4 + 31*t[48] + (21*t[49])/8 - (53*t[50])/2 - 
       (21*t[51])/16 + (53*t[52])/2 - (21*t[53])/8 + 3*t[54] - 
       (267*t[60])/4 - 63*t[61] + (123*t[62])/2 - 3*t[63] + 95*t[64] + 
       (715*t[65])/12 + (581*t[66])/12 + t[69] + 6*t[73] - 7*t[74] + 
       26*t[75] - 6*t[79] + (7*t[81])/2 - (7*t[82])/2 - (67*t[83])/2 - 
       (93*t[84])/4 - 18*t[85] - 12*t[86] + (83*t[87])/2 + (61*t[88])/4 + 
       (77*t[89])/8 + 14*t[95] + 45*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((-103*t[1])/12 + 
       (287*t[2])/36 + (17275*t[3])/144 + (707*t[4])/24 + (1799*t[5])/16 - 
       (11441*t[6])/192 + (91*t[7])/36 - (21505*t[8])/144 - (2715*t[9])/32 - 
       (11441*t[10])/144 + (63971*t[11])/576 + (3173*t[12])/144 + 
       (70859*t[13])/1296 - (94103*t[14])/1728 + (46949*t[15])/5184 + 
       (4*t[20])/9 - (2*t[22])/3 - (2*t[24])/9 - (20*t[27])/9 - 2*t[28] - 
       (215*t[29])/36 + (19*t[30])/6 + (25*t[31])/3 - (1283*t[32])/72 - 
       (155*t[33])/18 + (83*t[34])/18 - 12*t[35] + (103*t[36])/6 + 
       (28*t[37])/9 - (19*t[38])/9 - (8*t[39])/9 - (59*t[40])/72 - 
       (127*t[41])/36 + (127*t[42])/36 + (38*t[43])/9 + (205*t[44])/24 - 
       (45*t[45])/2 - (71*t[46])/12 + (109*t[47])/6 - (8039*t[48])/192 + 
       (929*t[49])/144 + (751*t[50])/576 - (1153*t[51])/96 - 
       (3343*t[52])/576 - t[53]/144 - (55523*t[54])/576 + t[56]/3 + 
       (4*t[57])/3 + (13*t[59])/9 - (39389*t[60])/288 - (5851*t[61])/288 + 
       (31211*t[62])/576 + (100261*t[63])/576 - (2741*t[64])/192 - 
       (6023*t[65])/96 - (38153*t[66])/864 + 2*t[68] - t[69] - (68*t[70])/9 + 
       (68*t[71])/9 - 14*t[72] - (67*t[73])/6 - (9*t[74])/2 + (43*t[75])/6 + 
       (254*t[76])/9 - (20*t[77])/9 - (565*t[78])/18 - 14*t[79] + 
       (47*t[80])/3 - (104*t[81])/9 + (361*t[82])/18 - (113*t[83])/9 - 
       (4913*t[84])/96 - (3611*t[85])/288 - 29*t[86] - (7121*t[87])/288 - 
       (8507*t[88])/192 - (15973*t[89])/192 + (58*t[95])/3 + (191*t[96])/9 - 
       (4*t[97])/3 + (500*t[98])/3 - 160*t[99] + 45*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((-5*t[1])/3 - (169*t[2])/16 - (4831*t[3])/192 - (109*t[4])/16 - 
       (1487*t[5])/288 + (8687*t[6])/288 - (5071*t[7])/96 + 
       (19207*t[8])/288 - (679*t[9])/144 + (2915*t[10])/288 - 
       (11269*t[11])/288 - (2155*t[12])/288 - (4193*t[13])/1728 + 
       (355*t[14])/576 - (38213*t[15])/10368 + t[18] + (4*t[20])/3 + 
       t[24]/6 + t[25] + t[27]/6 + (107*t[28])/36 - (113*t[29])/36 - 
       (911*t[30])/144 + t[31]/12 - (19*t[32])/144 + (145*t[33])/48 + 
       (155*t[34])/72 + (13*t[35])/6 - (5*t[36])/4 + (5*t[37])/3 - 
       (13*t[38])/8 - (95*t[39])/24 + (29*t[40])/24 - t[41]/24 + t[42]/24 + 
       t[43]/12 - (1439*t[44])/144 + (11*t[45])/6 + t[46]/8 - (7*t[47])/6 + 
       (1673*t[48])/72 - (23*t[49])/32 - (147*t[50])/8 + (77*t[51])/64 + 
       (165*t[52])/8 - (395*t[53])/96 + (8381*t[54])/288 + (365*t[59])/144 + 
       (6103*t[60])/144 - (917*t[61])/18 + (7675*t[62])/288 - 
       (18323*t[63])/288 + (2693*t[64])/96 + (18469*t[65])/864 + 
       (3605*t[66])/288 - t[69]/2 + t[70]/6 - t[71]/6 - (7*t[72])/6 - 
       (13*t[73])/12 + (119*t[74])/36 + (25*t[75])/6 - 9*t[76] + 
       (11*t[77])/12 + (85*t[78])/4 - (29*t[79])/12 - (17*t[80])/4 + 
       (47*t[81])/36 - (29*t[82])/9 - (443*t[83])/36 + (5591*t[84])/288 + 
       (3551*t[85])/288 - (103*t[86])/36 + (409*t[87])/96 + 
       (3215*t[88])/576 + (10997*t[89])/288 - (65*t[95])/18 - (77*t[96])/12 - 
       (7*t[97])/3 - 48*t[98] + 42*t[99] + (1081*t[100])/24) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-3*t[1] - (83*t[2])/3 + (443*t[3])/6 - (7*t[4])/12 + (445*t[5])/24 - 
       (325*t[6])/6 - (847*t[7])/12 - (1649*t[8])/12 - (2701*t[9])/24 - 
       (5*t[10])/24 + (41*t[11])/6 - (5*t[12])/2 + (5545*t[13])/216 - 
       (11675*t[14])/144 - (7103*t[15])/432 + 2*t[22] + (4*t[24])/3 + 
       (2*t[27])/3 + 2*t[28] - (58*t[29])/3 + (35*t[30])/3 + 2*t[31] - 
       (106*t[32])/3 + (40*t[33])/3 + 2*t[34] - 2*t[35] + 6*t[36] - 
       (4*t[37])/3 - (2*t[38])/3 - t[39]/3 + (17*t[40])/6 - (2*t[41])/3 + 
       (2*t[42])/3 - (2*t[43])/3 + (35*t[44])/3 - (11*t[45])/3 + t[46] + 
       5*t[47] - (157*t[48])/4 - (51*t[49])/8 - (35*t[50])/4 + 
       (53*t[51])/48 + (25*t[52])/12 + (121*t[53])/24 - 40*t[54] + 
       (2*t[59])/3 - (1301*t[60])/12 - (1075*t[61])/12 + (1405*t[62])/24 + 
       (1783*t[63])/24 + (3157*t[64])/24 + (197*t[65])/36 - (413*t[66])/36 + 
       2*t[69] - (16*t[70])/3 + (16*t[71])/3 - (4*t[72])/3 + 4*t[73] - 
       6*t[74] - 2*t[75] + (26*t[76])/3 - (8*t[77])/3 - (52*t[78])/3 - 
       (46*t[80])/3 + 10*t[81] + (11*t[82])/3 + (35*t[83])/3 - 
       (235*t[84])/12 + (47*t[85])/12 - 24*t[86] + (391*t[87])/12 - 
       (83*t[88])/8 - (535*t[89])/24 + 12*t[95] + (10*t[96])/3 - 6*t[97] + 
       56*t[98] - 64*t[99] + 46*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((-7*t[1])/4 - (19*t[2])/24 + (137*t[3])/48 + 
       (21*t[4])/8 + (9*t[5])/16 + (169*t[6])/32 - (1313*t[7])/24 + 
       (133*t[8])/12 - (75*t[9])/2 + (125*t[10])/48 - (2779*t[11])/96 - 
       (109*t[12])/6 + (43*t[13])/432 - (4759*t[14])/144 - (8173*t[15])/864 + 
       (2*t[20])/3 + t[22] + (2*t[24])/3 + (2*t[27])/3 + 2*t[28] - t[29]/12 + 
       2*t[30] - t[31] - (14*t[32])/3 + (29*t[33])/6 + (7*t[34])/6 - 
       2*t[35] - 3*t[36] + t[37]/6 + t[38]/3 - (19*t[39])/3 + (67*t[40])/12 - 
       (2*t[41])/3 + (2*t[42])/3 - (5*t[43])/12 - (73*t[44])/8 + 
       (13*t[45])/2 + t[46] - 7*t[47] + (195*t[48])/32 - (257*t[49])/48 - 
       (395*t[50])/96 + (83*t[51])/32 + (155*t[52])/96 + t[53]/48 + 
       (847*t[54])/96 - (7*t[59])/3 - (101*t[60])/48 - (2977*t[61])/48 + 
       (3629*t[62])/96 - (3821*t[63])/96 + (1549*t[64])/32 + (995*t[65])/48 + 
       (2959*t[66])/144 - t[70]/3 + t[71]/3 - 3*t[72] + 2*t[73] + 
       (7*t[74])/2 + t[75] - (41*t[76])/3 + t[77]/6 + (109*t[78])/6 - 
       11*t[80] - (7*t[81])/12 - (59*t[82])/12 - t[83]/3 + (267*t[84])/16 + 
       (595*t[85])/48 + 7*t[86] + (997*t[87])/48 + (295*t[88])/32 + 
       (775*t[89])/32 - 3*t[95] - (20*t[96])/3 - 6*t[97] - 80*t[98] + 
       82*t[99] + (95*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*(-t[1]/4 - (175*t[2])/24 + (10*t[3])/3 - 
       (257*t[4])/24 - (373*t[5])/48 - (1027*t[6])/96 + (71*t[7])/12 - 
       (709*t[8])/24 - (487*t[9])/24 - (427*t[10])/48 - (2725*t[11])/96 - 
       (77*t[12])/8 - (2209*t[13])/108 - (1097*t[14])/36 - (767*t[15])/432 - 
       t[18] - t[19] + t[20] + t[21] + t[22] - (2*t[24])/3 + (5*t[27])/3 - 
       t[28] + (11*t[29])/3 + (8*t[30])/3 + (2*t[32])/3 - t[33]/6 - 
       (13*t[34])/2 + 3*t[36] + (7*t[37])/6 + (11*t[38])/6 - (41*t[39])/6 + 
       (121*t[40])/12 - (2*t[41])/3 + t[42]/6 + t[43]/12 + (37*t[44])/6 + 
       (47*t[45])/6 - 7*t[47] - (7*t[48])/32 - (163*t[49])/16 + 
       (405*t[50])/32 + (481*t[51])/96 - (1999*t[52])/96 + (329*t[53])/48 + 
       (115*t[54])/32 - (7*t[59])/12 - (1259*t[60])/48 - (1333*t[61])/48 + 
       (2989*t[62])/96 + (1867*t[63])/96 + (1507*t[64])/96 + 
       (4697*t[65])/144 + (10975*t[66])/144 + 2*t[69] + (2*t[70])/3 - 
       (2*t[71])/3 - (13*t[72])/3 + 2*t[73] - (3*t[74])/2 - 3*t[75] - 
       (43*t[76])/3 - (13*t[77])/6 + (91*t[78])/6 + 4*t[79] - (43*t[80])/3 - 
       (31*t[81])/4 + (71*t[82])/12 - (29*t[83])/6 + (485*t[84])/48 + 
       (275*t[85])/48 + 3*t[86] + (1717*t[87])/48 + (535*t[88])/32 + 
       (1175*t[89])/96 - 3*t[95] - (14*t[96])/3 - (9*t[97])/2 - 80*t[98] + 
       82*t[99] + (95*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*(-t[1] + (3*t[2])/2 + 
       (17*t[3])/8 - 4*t[4] - 11*t[5] - 3*t[6] + (9*t[7])/4 - (117*t[8])/4 + 
       (23*t[9])/4 - (15*t[10])/2 - 24*t[11] - (43*t[12])/4 - 
       (493*t[13])/72 - (71*t[14])/6 - (199*t[15])/48 - 2*t[28] - 
       (5*t[29])/2 + (5*t[30])/2 - 2*t[31] - t[32] + (3*t[33])/2 - 3*t[34] - 
       4*t[35] + t[38] - 3*t[39] + 5*t[40] - t[41] + t[42] + 3*t[44] + 
       7*t[45] - 7*t[47] - (31*t[48])/4 - (15*t[49])/2 + (31*t[50])/4 + 
       (17*t[51])/4 - (47*t[52])/4 + (7*t[53])/2 + 6*t[54] - t[59] + 
       11*t[60] - (63*t[61])/2 + (105*t[62])/4 - (15*t[63])/4 - 38*t[64] + 
       (67*t[65])/4 + (283*t[66])/12 - 2*t[72] - 2*t[73] + 2*t[74] - 
       2*t[75] - 15*t[76] - 2*t[77] + 14*t[78] + 2*t[79] - 10*t[80] + 
       2*t[82] - 2*t[83] + (85*t[84])/4 + (47*t[85])/4 - 6*t[86] + 
       (27*t[87])/4 + (39*t[88])/8 + 15*t[89] - 4*t[95] - 6*t[96] - 5*t[97] - 
       96*t[98] + 96*t[99] + 48*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*(-2*t[1] - (179*t[2])/12 + 
       (503*t[3])/24 - (91*t[4])/12 + (103*t[5])/24 - (1255*t[6])/24 - 
       (343*t[7])/12 - (1607*t[8])/12 - (979*t[9])/24 - (197*t[10])/24 - 
       (25*t[11])/24 - (5*t[12])/2 + (3919*t[13])/216 - (9875*t[14])/144 - 
       (3803*t[15])/108 + 2*t[18] + 5*t[20] - 6*t[22] - (2*t[24])/3 + 
       (2*t[27])/3 + 2*t[28] - (11*t[29])/6 + (17*t[30])/3 - (25*t[32])/3 - 
       (17*t[33])/3 - 4*t[34] - 4*t[35] + 14*t[36] + (11*t[37])/3 + 
       (4*t[38])/3 + (5*t[39])/3 + (5*t[40])/6 + (5*t[41])/6 - (5*t[42])/6 - 
       (7*t[43])/6 + (215*t[44])/12 + (34*t[45])/3 + t[46] - 3*t[47] - 
       (133*t[48])/8 - (189*t[49])/8 - (41*t[50])/8 + (371*t[51])/48 - 
       (229*t[52])/24 + (535*t[53])/24 - (187*t[54])/8 - (10*t[59])/3 + 
       (34*t[60])/3 - (691*t[61])/12 + (709*t[62])/24 - (1181*t[63])/24 + 
       (3211*t[64])/24 + (62*t[65])/9 - (811*t[66])/18 + t[69] - 
       (16*t[70])/3 + (16*t[71])/3 - (4*t[72])/3 + 12*t[73] - 5*t[74] - 
       8*t[75] + (35*t[76])/3 - (5*t[77])/3 + (35*t[78])/3 + 8*t[79] - 
       (106*t[80])/3 + (39*t[81])/2 + (13*t[82])/6 - (59*t[83])/6 + 
       (47*t[84])/3 + (47*t[85])/12 - 32*t[86] + (529*t[87])/12 + 
       (43*t[88])/8 + (145*t[89])/12 + 6*t[95] + (4*t[96])/3 - 6*t[97] - 
       8*t[98] + 4*t[99] + 49*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^3*
      (t[1]/2 - (83*t[2])/16 + (145*t[3])/8 - (111*t[4])/16 + (305*t[5])/32 - 
       (571*t[6])/64 - (27*t[7])/8 - (417*t[8])/16 - (177*t[9])/8 - 
       (169*t[10])/32 - (741*t[11])/64 - (95*t[12])/16 - (28*t[13])/9 - 
       (799*t[14])/32 + (307*t[15])/144 + t[24]/2 - t[25]/2 + t[27] - 
       t[28]/2 + t[29] + 2*t[30] + (3*t[31])/2 - (9*t[32])/2 + (11*t[33])/4 - 
       t[34]/2 + t[35] - t[36] - (5*t[37])/4 + t[38]/2 - (7*t[39])/2 + 
       (25*t[40])/8 - (3*t[41])/8 + (3*t[42])/8 + t[43]/8 + t[44] - 3*t[45] - 
       t[46]/4 + (7*t[47])/4 - (269*t[48])/64 + (21*t[49])/32 + 
       (503*t[50])/64 - t[51]/64 - (471*t[52])/64 - (53*t[53])/32 - 
       (647*t[54])/64 - t[59]/4 - (1367*t[60])/32 - (1273*t[61])/32 + 
       (1721*t[62])/64 + (2239*t[63])/64 + (583*t[64])/64 + (1177*t[65])/96 + 
       (1601*t[66])/32 - t[70]/2 + t[71]/2 - 2*t[72] - t[73] - t[74]/4 + 
       t[75] - 4*t[76] + t[77]/4 - (3*t[78])/4 + 8*t[80] - (55*t[81])/8 + 
       (55*t[82])/8 + t[83] - (303*t[84])/32 + (107*t[85])/32 + (5*t[86])/2 + 
       (205*t[87])/32 + (29*t[88])/64 - (349*t[89])/64 + (3*t[95])/2 - 
       t[96] - (3*t[97])/2 - 6*t[98] + 4*t[99] + (203*t[100])/4) + 
     HPL[{0, 1, 1}, 1 - w]*Omega2[w, u, v]*((15*t[2])/2 - (5*t[3])/2 + 
       (27*t[4])/4 - (53*t[5])/8 + (17*t[6])/4 - (37*t[7])/4 - (15*t[8])/4 - 
       (59*t[9])/8 + (81*t[10])/8 - (31*t[11])/4 - 7*t[12] + (37*t[13])/72 + 
       (295*t[14])/48 + (1283*t[15])/144 + 2*t[20] - 2*t[22] - 4*t[29] + 
       12*t[30] + 2*t[31] - (7*t[32])/2 + 4*t[33] + 4*t[34] - 2*t[36] - 
       2*t[37] - t[41] + t[42] + t[43] + 6*t[44] + t[46] - 2*t[47] - 
       (7*t[48])/2 + (33*t[49])/8 + 6*t[50] - (21*t[51])/16 - 6*t[52] - 
       (33*t[53])/8 + (5*t[54])/4 + t[59] - (51*t[60])/4 - (13*t[61])/4 + 
       (115*t[62])/8 + (57*t[63])/8 - (449*t[64])/8 + (83*t[65])/12 + 
       (7*t[66])/4 + 2*t[69] - 2*t[72] - 2*t[75] + 3*t[76] - 4*t[79] + 
       2*t[80] + t[81] - 3*t[82] + 15*t[83] - (13*t[84])/4 + (11*t[85])/4 - 
       16*t[86] + (89*t[87])/4 + (89*t[88])/8 + (27*t[89])/8 + 51*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*Omega2[w, u, v]*((-21*t[2])/2 - (7*t[3])/2 - 
       11*t[4] + 9*t[5] - 4*t[6] + 8*t[7] - (33*t[8])/2 - 6*t[9] + 
       (9*t[10])/2 - (45*t[11])/2 - 4*t[12] - (205*t[13])/18 - 
       (131*t[14])/12 - (319*t[15])/36 + t[20] - 2*t[22] - 5*t[29] + 
       4*t[30] + t[31] + (3*t[32])/2 + 2*t[36] + 2*t[37] - (3*t[40])/2 + 
       t[41] - t[42] + (15*t[44])/2 - t[46] + 2*t[47] - t[48]/2 - t[49] - 
       (3*t[50])/2 - t[51]/4 + (3*t[52])/2 + t[53] + (3*t[54])/2 - 
       (25*t[60])/2 - 19*t[61] + (91*t[62])/4 + (49*t[63])/4 + 
       (143*t[64])/4 + (44*t[65])/3 + 29*t[66] + t[69] - t[72] + 2*t[75] + 
       3*t[76] + 4*t[79] - 2*t[80] - t[81] + 7*t[82] - (19*t[83])/2 - 
       t[84]/2 + 3*t[85] - 22*t[86] + (41*t[87])/2 + (41*t[88])/4 + 
       (39*t[89])/4 + 51*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((-83*t[1])/8 + (31*t[2])/4 - 
       (157*t[3])/4 - (517*t[4])/16 + (71*t[5])/8 + (547*t[6])/32 - 
       (539*t[7])/16 + (925*t[8])/16 + (187*t[9])/8 + (47*t[10])/32 - 
       (1993*t[11])/32 + (1085*t[12])/32 - (241*t[13])/96 + (419*t[14])/64 - 
       (571*t[15])/288 - t[16]/2 + (3*t[17])/4 + 3*t[19] - 5*t[20] + 
       3*t[21] + 2*t[22] - 3*t[23] + 2*t[24] + (3*t[25])/2 + (5*t[26])/4 + 
       3*t[27] - 2*t[28] - 3*t[29] - (19*t[30])/4 + (11*t[32])/2 - 
       (9*t[33])/4 + (31*t[34])/4 + (5*t[36])/2 - 3*t[37] - (23*t[38])/2 - 
       (11*t[39])/2 - (5*t[40])/2 + (21*t[41])/8 - (21*t[42])/8 - 
       (9*t[43])/16 - (17*t[44])/2 - (5*t[45])/8 + t[46]/4 + (37*t[47])/4 + 
       (327*t[48])/32 - (633*t[49])/32 - (669*t[50])/32 + (301*t[51])/64 + 
       (981*t[52])/32 + (265*t[53])/32 + (663*t[54])/32 - t[55]/4 + t[56]/2 + 
       t[57] + (3*t[58])/4 + (33*t[59])/8 + (849*t[60])/16 - (721*t[61])/16 + 
       (749*t[62])/32 - (2765*t[63])/32 + (3091*t[64])/32 - (343*t[65])/16 + 
       (815*t[66])/48 - 4*t[69] + 2*t[70] - 2*t[71] + 9*t[72] - 4*t[73] - 
       (19*t[74])/2 - 4*t[76] - t[77] + (121*t[78])/4 + 3*t[79] + 
       (15*t[80])/2 + (11*t[81])/4 - 19*t[83] + (181*t[84])/16 + 
       (89*t[85])/16 + 7*t[86] - (265*t[87])/16 + (7*t[88])/32 + 
       (809*t[89])/32 + t[91]/12 + t[93] - 9*t[95] - 11*t[96] + t[97]/4 - 
       60*t[98] + 32*t[99] + 51*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((3*t[1])/2 + (17*t[2])/2 - 
       (187*t[3])/4 - (5*t[4])/4 + (11*t[5])/4 + (117*t[6])/4 - (29*t[7])/2 + 
       (181*t[8])/2 - (7*t[9])/4 + (115*t[10])/8 - (115*t[11])/4 - 
       (63*t[12])/8 - (50*t[13])/3 + (347*t[14])/16 + (545*t[15])/72 + 
       2*t[19] - 2*t[20] - 2*t[21] + t[22] + t[23] + t[25] - t[26] - t[27] - 
       t[29] - t[30] - 2*t[31] + 15*t[32] - 2*t[33] - 4*t[34] + 2*t[37] + 
       (3*t[38])/2 - 4*t[39] + t[40] + t[41]/2 - t[43]/2 - (15*t[44])/2 + 
       9*t[45] - t[46] - 7*t[47] + (121*t[48])/4 + (21*t[49])/8 - 
       (35*t[50])/4 + (15*t[51])/16 + (35*t[52])/4 - (21*t[53])/8 + 
       (65*t[54])/2 - t[59]/2 + (171*t[60])/4 + (37*t[61])/4 - 30*t[62] - 
       75*t[63] - (49*t[64])/8 + (29*t[65])/2 + (93*t[66])/4 + 4*t[70] - 
       4*t[71] + 4*t[72] + 2*t[74] - (19*t[76])/2 + 4*t[77] + 14*t[78] - 
       11*t[80] - (9*t[81])/2 - 3*t[82] + (27*t[84])/2 - (21*t[85])/2 + 
       12*t[86] + (35*t[87])/2 + (111*t[88])/4 + (217*t[89])/8 - 4*t[95] - 
       4*t[96] + 2*t[97] - 60*t[98] + 32*t[99] + 51*t[100]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*((-5*t[1])/2 - 
       (1921*t[2])/48 + (15779*t[3])/96 - (407*t[4])/24 + (5095*t[5])/96 - 
       (4095*t[6])/64 - (43*t[7])/16 - (8333*t[8])/48 - (321*t[9])/4 - 
       (887*t[10])/48 + (2695*t[11])/64 + (807*t[12])/32 + (171*t[13])/32 - 
       (20305*t[14])/576 - (13129*t[15])/1728 - (17*t[17])/8 - 2*t[18] - 
       14*t[20] + 12*t[22] - (3*t[23])/2 + (71*t[24])/12 - (25*t[27])/6 - 
       (23*t[28])/6 + (41*t[29])/8 - (33*t[30])/4 + (16*t[31])/3 - 
       (533*t[32])/12 + (215*t[33])/12 + (19*t[34])/12 + (14*t[35])/3 - 
       (71*t[36])/6 - (19*t[37])/3 - (59*t[38])/12 + (53*t[39])/12 - 
       (31*t[40])/4 + (55*t[41])/24 - (31*t[42])/24 + (41*t[43])/16 + 
       (401*t[44])/48 - (167*t[45])/3 - (15*t[46])/4 + 59*t[47] - 
       (2857*t[48])/64 + (649*t[49])/24 - (1927*t[50])/192 - (213*t[51])/16 + 
       (4343*t[52])/192 - (497*t[53])/24 - (15209*t[54])/192 - t[55]/8 + 
       t[56] + t[57] + (27*t[59])/4 - (5259*t[60])/32 - (10463*t[61])/96 + 
       (6317*t[62])/192 + (35527*t[63])/192 + (9385*t[64])/192 - 
       (21173*t[65])/288 + (16045*t[66])/288 + 6*t[68] - (19*t[70])/3 + 
       (19*t[71])/3 + (3*t[72])/2 - 10*t[73] - (14*t[74])/3 + 12*t[75] + 
       (679*t[76])/24 - (19*t[77])/12 - (571*t[78])/8 - 2*t[79] + 
       (481*t[80])/6 - (55*t[81])/4 + (221*t[82])/12 - (10*t[83])/3 - 
       (6637*t[84])/96 + (45*t[85])/32 + (47*t[86])/4 - (10711*t[87])/96 - 
       (18887*t[88])/192 - (6811*t[89])/64 - t[90]/4 + t[91]/12 - t[93] + 
       (47*t[95])/3 + (107*t[96])/6 + (19*t[97])/6 + 278*t[98] - 346*t[99] + 
       (103*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((-3*t[1])/4 + (43*t[2])/4 - (269*t[3])/8 - 
       (149*t[4])/8 - (55*t[5])/8 + (399*t[6])/16 - 4*t[7] + (191*t[8])/4 + 
       (207*t[9])/8 - (9*t[10])/16 - (609*t[11])/16 - (45*t[12])/16 - 
       (33*t[13])/2 + (439*t[14])/32 + (61*t[15])/16 - (3*t[28])/2 + 
       3*t[29] - (9*t[30])/2 - t[31]/2 + (35*t[32])/4 - 2*t[33] + 
       (11*t[34])/2 + (9*t[35])/2 - (3*t[36])/2 + (3*t[37])/2 - t[38] - 
       (11*t[39])/4 - t[40]/4 - t[41]/4 + t[42]/4 - t[43]/2 - (9*t[44])/2 - 
       t[45] + (3*t[46])/4 - t[47] + (271*t[48])/16 - (47*t[49])/16 + 
       (47*t[50])/16 + (37*t[51])/32 + (41*t[52])/16 - t[53]/16 + 
       (347*t[54])/16 - (5*t[59])/4 + (179*t[60])/8 - (245*t[61])/8 + 
       (159*t[62])/8 - (197*t[63])/8 - (171*t[64])/16 + (863*t[65])/24 + 
       (1039*t[66])/24 + 2*t[70] - 2*t[71] + (5*t[72])/2 + 2*t[73] + 
       (5*t[74])/2 - t[75] - (35*t[76])/4 - (3*t[77])/2 + (71*t[78])/4 - 
       2*t[79] + 3*t[80] - t[81]/4 - (9*t[82])/4 + (51*t[84])/4 + 
       (87*t[85])/8 + 10*t[86] + (69*t[87])/8 + (229*t[88])/16 + 
       (263*t[89])/16 - 2*t[95] - 8*t[96] - t[97] - 42*t[98] + 22*t[99] + 
       (103*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((3*t[1])/2 - (23*t[2])/4 - (173*t[3])/8 - 
       (41*t[4])/2 - (59*t[5])/16 + (55*t[6])/16 - (115*t[7])/8 + 
       (515*t[8])/8 - (41*t[9])/16 + (3*t[10])/2 - (405*t[11])/16 + 
       (131*t[12])/16 - (2399*t[13])/144 - (47*t[14])/4 - (185*t[15])/96 + 
       (3*t[19])/2 + (3*t[21])/2 - (3*t[23])/2 + t[25]/2 - (5*t[28])/2 - 
       (3*t[29])/2 - 4*t[30] - t[31]/2 + (41*t[32])/4 - (7*t[33])/2 - 
       (15*t[34])/2 + t[35]/2 + (3*t[36])/2 + t[37]/2 + t[38] - t[39]/4 - 
       t[40]/4 + (5*t[41])/2 - (7*t[42])/4 + t[43]/4 - (3*t[44])/2 + 
       (37*t[45])/4 - (5*t[46])/4 - (9*t[47])/4 + (205*t[48])/16 - 
       (109*t[49])/8 - (95*t[50])/16 + (25*t[51])/4 + (79*t[52])/16 + 
       (105*t[53])/8 + (271*t[54])/16 + (3*t[59])/2 + (131*t[60])/4 - 
       (19*t[61])/4 + (5*t[62])/16 - (1305*t[63])/16 + 38*t[64] + 
       (151*t[65])/6 + (56*t[66])/3 + (3*t[69])/2 + t[70]/2 - t[71]/2 + 
       (3*t[72])/2 - t[73] - (3*t[74])/2 + t[75] - (15*t[76])/2 + 
       (3*t[77])/2 + (25*t[78])/2 + 8*t[79] - t[80] - (17*t[81])/4 - 
       2*t[82] - t[83]/2 + (67*t[84])/8 - (33*t[85])/4 + 5*t[86] + 
       (91*t[87])/4 + (169*t[88])/8 + 25*t[89] - 2*t[95] - 2*t[96] + 
       (3*t[97])/2 - 42*t[98] + 22*t[99] + (103*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((7*t[1])/8 + (145*t[2])/24 + (125*t[3])/24 - (295*t[4])/24 + 
       (143*t[5])/8 + (109*t[6])/8 - (437*t[7])/48 + 42*t[8] + (43*t[9])/48 + 
       (11*t[10])/16 - (437*t[11])/48 + (5*t[12])/12 + (1759*t[13])/432 + 
       (1055*t[14])/144 + (1319*t[15])/288 - t[17]/4 + t[19] + (28*t[20])/3 - 
       t[21] - t[22]/2 - t[23]/2 + (4*t[24])/3 - t[25]/2 + t[26]/2 - 
       (7*t[27])/3 + (47*t[28])/6 - (43*t[29])/8 - (143*t[30])/12 + 
       (17*t[31])/6 + (181*t[32])/48 - t[33]/4 + (20*t[34])/3 + 
       (11*t[35])/3 - (25*t[36])/12 - (5*t[37])/2 - (3*t[38])/4 + 4*t[39] - 
       (313*t[40])/48 + (65*t[41])/24 - (47*t[42])/24 + (17*t[43])/12 - 
       (141*t[44])/16 - (21*t[45])/4 - (5*t[46])/8 + (13*t[47])/2 + 
       (307*t[48])/48 + (69*t[49])/16 - (329*t[50])/48 - (43*t[51])/48 + 
       (629*t[52])/48 - (127*t[53])/48 + (35*t[54])/16 - 2*t[57] + 
       (53*t[59])/24 + (121*t[60])/24 - (1189*t[61])/48 - (13*t[62])/32 - 
       (1183*t[63])/32 - (245*t[64])/48 - (5*t[65])/24 + (46*t[66])/9 + 
       (3*t[68])/4 + t[70] - t[71] + (47*t[72])/6 - (19*t[73])/2 + 
       (13*t[74])/12 + (45*t[75])/2 + (5*t[76])/4 + (7*t[77])/3 - 
       (32*t[78])/3 - 7*t[79] + (47*t[80])/2 - (23*t[81])/8 + (15*t[82])/8 - 
       (7*t[83])/6 - (11*t[84])/2 - (113*t[85])/16 + (8*t[86])/3 - 
       (177*t[87])/8 - (323*t[88])/48 - (41*t[89])/24 + t[90]/4 + t[93] + 
       (2*t[95])/3 + (3*t[96])/2 + (29*t[97])/12 + 7*t[98] - 19*t[99] + 
       (107*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*(-t[1]/12 - (97*t[2])/12 - (41*t[3])/24 - 
       (289*t[4])/24 + (205*t[5])/16 - 3*t[6] - (395*t[7])/48 + 
       (137*t[8])/16 - (247*t[9])/12 - (15*t[10])/4 - (245*t[11])/16 + 
       (7*t[12])/3 + (19*t[13])/32 - (1753*t[14])/96 - (307*t[15])/108 + 
       (5*t[17])/6 - t[19] + t[20]/3 + 2*t[21] - (5*t[23])/3 + (7*t[24])/6 + 
       (2*t[28])/3 + (5*t[29])/3 + t[30]/2 + 3*t[31] + (7*t[32])/6 - 
       (5*t[33])/6 + t[34]/3 + 4*t[35] + t[37] + (5*t[41])/4 - (7*t[42])/4 + 
       (19*t[43])/48 + t[44] - (37*t[45])/24 - (7*t[46])/4 + (13*t[47])/4 + 
       (103*t[48])/48 + (13*t[49])/16 - (325*t[50])/48 + (5*t[51])/32 + 
       (325*t[52])/48 - (13*t[53])/16 + (95*t[54])/48 + (2*t[59])/3 - 
       (565*t[60])/24 - (583*t[61])/24 - (311*t[62])/48 + (311*t[63])/48 + 
       (3631*t[64])/48 + (143*t[65])/18 + (1003*t[66])/36 - (13*t[67])/12 - 
       t[70] + t[71]/3 + t[73] - (13*t[74])/2 + 3*t[75] + t[79] - 
       (16*t[80])/3 - (19*t[81])/12 + (67*t[82])/12 - (20*t[83])/3 - 
       (23*t[84])/4 + (85*t[85])/24 + (5*t[86])/3 + (161*t[87])/24 + 
       (161*t[88])/48 + (427*t[89])/48 + (5*t[94])/6 - 8*t[99] + 54*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-5*t[1])/6 - (7*t[3])/12 - (139*t[4])/12 - (121*t[5])/24 + 
       (17*t[6])/6 + (17*t[7])/12 + (65*t[8])/12 - (7*t[9])/8 + 
       (233*t[10])/48 - (455*t[11])/24 - (83*t[12])/48 - (949*t[13])/72 - 
       (133*t[14])/72 - (65*t[15])/216 - t[16] - (7*t[25])/3 + (19*t[26])/6 + 
       (2*t[28])/3 + t[29] + 3*t[30] - t[31] - 2*t[35] - t[36]/3 - 
       (5*t[38])/6 + (3*t[40])/2 - (5*t[44])/6 + (7*t[46])/3 - (11*t[48])/4 + 
       (65*t[49])/48 + (19*t[50])/4 - (49*t[51])/48 - (19*t[52])/4 - 
       (11*t[53])/16 + (25*t[54])/3 + (5*t[59])/12 - (535*t[60])/24 - 
       (185*t[61])/8 + (21*t[62])/8 + (779*t[63])/24 + (1453*t[64])/48 + 
       (22*t[65])/3 + (347*t[66])/6 - t[69] - t[72] - (8*t[74])/3 - 3*t[75] - 
       3*t[76] - 2*t[79] - t[80] + t[81]/2 - t[82]/2 + (17*t[83])/6 - 
       (20*t[84])/3 - (43*t[85])/12 - (4*t[86])/3 + (35*t[87])/4 + 
       (173*t[88])/24 + (83*t[89])/12 - (2*t[95])/3 - 8*t[99] + 54*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((-9*t[1])/2 - (31*t[2])/8 - (1801*t[3])/16 - (217*t[4])/4 - 
       (567*t[5])/16 + (5389*t[6])/32 - (123*t[7])/8 + (651*t[8])/4 + 
       (963*t[9])/8 - (209*t[10])/8 - (5605*t[11])/32 - (59*t[12])/16 - 
       (59*t[13])/6 + (10777*t[14])/96 + (3587*t[15])/288 - 10*t[20] - 
       8*t[28] - 35*t[29] - (225*t[30])/4 - (277*t[32])/8 + (131*t[33])/2 + 
       (131*t[34])/4 - 24*t[35] + 3*t[37] - (9*t[38])/2 - (33*t[39])/4 - 
       6*t[40] - (9*t[41])/4 + (9*t[42])/4 + (3*t[43])/2 - (27*t[44])/2 - 
       (9*t[45])/4 - (15*t[47])/4 + (547*t[48])/32 - 4*t[49] - 
       (1153*t[50])/32 - t[51]/4 + (1729*t[52])/32 - 11*t[53] + 
       (4613*t[54])/32 + (35*t[59])/8 + (4689*t[60])/16 - (1613*t[61])/16 + 
       (1245*t[62])/32 - (10481*t[63])/32 - (3247*t[64])/32 + 
       (1475*t[65])/48 - (1661*t[66])/16 + (3*t[67])/2 + 3*t[70] - 3*t[71] + 
       39*t[73] + (9*t[74])/2 - 111*t[75] - (45*t[76])/2 - (9*t[77])/2 + 
       (27*t[78])/4 - (9*t[80])/2 + (27*t[81])/4 - (27*t[82])/4 + 35*t[83] + 
       (2303*t[84])/16 + (2623*t[85])/16 - 2*t[86] - (357*t[87])/16 + 
       (1131*t[88])/32 + (5769*t[89])/32 - 33*t[95] - 27*t[96] - 
       (21*t[97])/4 - 126*t[98] + 90*t[99] + 57*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*((21*t[1])/4 - 3*t[2] - 
       144*t[3] - (3*t[4])/4 - (2201*t[5])/16 + (3191*t[6])/32 + 
       (527*t[7])/4 + (1937*t[8])/8 + (969*t[9])/4 + (265*t[10])/8 - 
       (3927*t[11])/32 - (235*t[12])/16 - (1331*t[13])/48 + 
       (16375*t[14])/96 + (2143*t[15])/144 + 6*t[20] + t[28] + (25*t[29])/2 - 
       (81*t[30])/2 + (339*t[32])/8 + (3*t[33])/4 - 9*t[34] - 12*t[35] + 
       3*t[37] + (21*t[38])/4 + (3*t[39])/2 + (9*t[40])/2 + (9*t[41])/4 - 
       (9*t[42])/4 + (3*t[43])/2 - (313*t[44])/8 + (105*t[45])/4 - 
       (57*t[47])/4 - (619*t[48])/32 - (21*t[49])/2 + (625*t[50])/32 + 
       (63*t[51])/8 - (961*t[52])/32 + (27*t[53])/2 + (3791*t[54])/32 + 
       (3*t[59])/4 + (3407*t[60])/16 + (1799*t[61])/16 - (1139*t[62])/32 - 
       (11441*t[63])/32 - (7583*t[64])/32 + (4099*t[65])/48 - 
       (2519*t[66])/48 - 6*t[69] + 39*t[73] - (9*t[74])/2 - 111*t[75] - 
       (39*t[76])/2 + (9*t[77])/2 - (33*t[78])/2 + 15*t[79] - 12*t[80] - 
       18*t[81] - (27*t[82])/4 + 44*t[83] + (1851*t[84])/16 + 
       (1503*t[85])/16 - 11*t[86] + (739*t[87])/16 + (2227*t[88])/32 + 
       (5859*t[89])/32 - 33*t[95] - (3*t[96])/2 + (9*t[97])/2 - 126*t[98] + 
       90*t[99] + 57*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((19*t[1])/6 - (223*t[2])/24 + 
       (4309*t[3])/96 + (59*t[4])/3 + (1523*t[5])/72 - (3173*t[6])/288 - 
       (3233*t[7])/48 + (3655*t[8])/144 - (1531*t[9])/18 - (533*t[10])/72 - 
       (4727*t[11])/288 - (2551*t[12])/144 + (3211*t[13])/288 - 
       (2555*t[14])/32 - (81833*t[15])/5184 - 2*t[20] - (19*t[28])/18 + 
       t[29]/18 + (67*t[30])/72 - (25*t[31])/3 + (5*t[32])/72 + 
       (59*t[33])/24 - (1045*t[34])/36 - (56*t[35])/3 + 2*t[36] + 
       (19*t[38])/3 + (19*t[40])/2 - t[43] - (235*t[44])/36 + (133*t[45])/6 - 
       t[46] - (95*t[47])/6 + (5059*t[48])/288 - (31*t[49])/2 - 
       (841*t[50])/32 + (61*t[51])/6 + (233*t[52])/32 + (31*t[53])/2 + 
       (2395*t[54])/288 - (49*t[59])/72 - (4231*t[60])/144 - 
       (2741*t[61])/144 + (12677*t[62])/288 - (24469*t[63])/288 + 
       (1749*t[64])/32 + (1991*t[65])/54 + (139*t[66])/4 - 2*t[69] - 
       (13*t[72])/3 - (37*t[73])/6 - (2*t[74])/9 + (41*t[75])/6 - 
       (151*t[76])/6 + (38*t[78])/3 + (61*t[79])/6 - 19*t[80] - 
       (91*t[81])/18 + (13*t[82])/18 - (413*t[83])/18 + (239*t[84])/36 - 
       (883*t[85])/36 - (517*t[86])/18 + (1345*t[87])/24 + (3913*t[88])/144 + 
       (15331*t[89])/288 + (4*t[95])/9 - (19*t[97])/6 - 152*t[98] + 
       152*t[99] + (175*t[100])/3) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*(-2*t[1] - 20*t[2] + 14*t[3] - 75*t[4] + 
       (119*t[5])/2 - 9*t[6] - 61*t[7] + 23*t[8] - (199*t[9])/2 - 
       (37*t[10])/2 + 27*t[11] + 27*t[12] - (1069*t[13])/18 - 
       (547*t[14])/12 + (131*t[15])/4 + 4*t[16] + 8*t[17] - 12*t[20] - 
       4*t[24] - 8*t[31] - 12*t[34] + 8*t[36] + 14*t[41] - 14*t[42] + 
       8*t[43] + 64*t[45] - 80*t[47] + 8*t[48] - (53*t[49])/2 - 2*t[50] + 
       (53*t[51])/4 + 2*t[52] + (53*t[53])/2 + 27*t[54] + 20*t[59] - 
       127*t[60] + 145*t[61] - (223*t[62])/2 + (83*t[63])/2 + (325*t[64])/2 + 
       69*t[65] + 151*t[66] - 4*t[67] - 16*t[68] + 4*t[69] - 4*t[70] + 
       4*t[71] + 24*t[72] - 8*t[74] + 32*t[80] - 4*t[81] + 4*t[82] + t[84] - 
       47*t[85] + 32*t[86] + 109*t[87] + (109*t[88])/2 - (97*t[89])/2 - 
       384*t[98] + 480*t[99] + 60*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*(2*t[1] - 6*t[2] - t[3] - 38*t[4] - 
       35*t[5] + t[6] + 22*t[7] + 108*t[8] - 33*t[9] + 49*t[10] - 32*t[11] + 
       28*t[12] - (791*t[13])/18 - (35*t[14])/2 + (35*t[15])/3 - 4*t[16] - 
       8*t[31] - 8*t[36] + 16*t[37] + 22*t[48] - 23*t[49] + (23*t[51])/2 + 
       23*t[53] + 46*t[54] - 88*t[60] + 104*t[61] - 50*t[62] + 118*t[63] + 
       60*t[64] + (64*t[65])/3 + 112*t[66] + 28*t[72] - 64*t[76] - 16*t[77] + 
       80*t[78] - 32*t[80] - 16*t[81] + 48*t[82] - 4*t[84] - 68*t[85] + 
       76*t[87] + 38*t[88] - 36*t[89] - 384*t[98] + 480*t[99] + 60*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      (-t[1] - (103*t[2])/12 + (733*t[3])/24 - (149*t[4])/12 + 
       (371*t[5])/24 - (121*t[6])/12 - (209*t[7])/12 - (445*t[8])/12 - 
       (989*t[9])/24 - (271*t[10])/24 - (265*t[11])/12 - (25*t[12])/4 - 
       (1285*t[13])/216 - (5851*t[14])/144 + (163*t[15])/54 + (2*t[24])/3 + 
       (4*t[27])/3 - (7*t[29])/6 + (7*t[30])/3 + 2*t[31] - (49*t[32])/6 + 
       (17*t[33])/3 - 2*t[34] - (5*t[37])/3 - t[38]/3 - (14*t[39])/3 + 
       (11*t[40])/3 - (5*t[41])/6 + (5*t[42])/6 + t[43]/6 + (43*t[44])/12 - 
       (10*t[45])/3 + t[47] - 4*t[48] - (11*t[49])/8 + 7*t[50] + 
       (25*t[51])/48 - (19*t[52])/3 - (31*t[53])/24 - 11*t[54] + 
       (5*t[59])/6 - (763*t[60])/12 - (191*t[61])/3 + (607*t[62])/12 + 
       (649*t[63])/12 + (40*t[64])/3 + (1015*t[65])/36 + (2855*t[66])/36 - 
       (2*t[70])/3 + (2*t[71])/3 - (8*t[72])/3 - t[74] - (17*t[76])/3 - 
       t[77]/3 - (2*t[78])/3 + (16*t[80])/3 - (15*t[81])/2 + (53*t[82])/6 + 
       (4*t[83])/3 - (137*t[84])/12 + (29*t[85])/6 - 2*t[86] + (38*t[87])/3 + 
       3*t[88] - (143*t[89])/24 + 2*t[95] - (10*t[96])/3 - 3*t[97] - 
       16*t[98] + 18*t[99] + 61*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((25*t[1])/12 - (83*t[2])/12 + 
       (1679*t[3])/96 + (83*t[4])/8 + (1201*t[5])/144 - (6389*t[6])/288 - 
       (1063*t[7])/48 - (5093*t[8])/144 - (5657*t[9])/144 + (227*t[10])/144 - 
       (2699*t[11])/288 - (1819*t[12])/144 + (467*t[13])/864 - 
       (803*t[14])/18 - (67709*t[15])/5184 + t[20] - t[24]/3 + t[27]/3 - 
       (49*t[28])/18 - (109*t[29])/36 + (55*t[30])/18 - (11*t[31])/3 + 
       (37*t[32])/36 - (13*t[33])/12 - (577*t[34])/36 - (47*t[35])/6 + 
       t[36] + t[37]/3 + (13*t[38])/3 - (2*t[39])/3 + (20*t[40])/3 + 
       t[41]/6 - t[42]/6 - (7*t[43])/12 + (373*t[44])/72 + (63*t[45])/4 - 
       t[46]/4 - (137*t[47])/12 + (835*t[48])/288 - (541*t[49])/48 - 
       (403*t[50])/96 + (671*t[51])/96 - (829*t[52])/96 + (509*t[53])/48 - 
       (1589*t[54])/288 - (29*t[59])/36 + (251*t[60])/144 - 
       (2849*t[61])/144 + (5927*t[62])/288 - (15043*t[63])/288 + 
       (223*t[64])/96 + (299*t[65])/54 + (14*t[66])/3 + t[69] + t[70]/3 - 
       t[71]/3 - (35*t[72])/6 - t[73]/2 + (13*t[74])/9 - (11*t[75])/3 - 
       (59*t[76])/4 + t[77]/6 + (61*t[78])/6 + (17*t[79])/2 - (50*t[80])/3 - 
       (55*t[81])/18 + (49*t[82])/18 - (197*t[83])/18 + (169*t[84])/18 - 
       (683*t[85])/72 - (487*t[86])/18 + (695*t[87])/24 + (2635*t[88])/144 + 
       (7201*t[89])/288 - (35*t[95])/9 - (4*t[96])/3 - (31*t[97])/12 - 
       104*t[98] + 104*t[99] + (739*t[100])/12) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (-t[1] + (115*t[2])/12 + (199*t[3])/24 + (63*t[4])/4 + (61*t[5])/8 - 
       (87*t[6])/16 - (745*t[7])/12 + (47*t[8])/6 - 61*t[9] + 
       (247*t[10])/24 - (899*t[11])/48 - (215*t[12])/12 - (289*t[13])/216 - 
       (833*t[14])/18 - (3755*t[15])/432 + (8*t[20])/3 + (2*t[24])/3 + 
       (8*t[27])/3 + t[29]/6 + 8*t[30] + 2*t[31] + t[32]/3 + (13*t[33])/3 - 
       (10*t[34])/3 + 4*t[35] - 4*t[36] - t[37]/3 + (4*t[38])/3 - 
       (28*t[39])/3 + (47*t[40])/6 - (7*t[41])/6 + (7*t[42])/6 + 
       (5*t[43])/6 - (3*t[44])/4 + 11*t[45] + t[46] - 12*t[47] + 
       (67*t[48])/16 - (55*t[49])/24 - (43*t[50])/48 + (49*t[51])/16 - 
       (149*t[52])/48 - (73*t[53])/24 - (193*t[54])/48 - (16*t[59])/3 - 
       (205*t[60])/24 - (1757*t[61])/24 + (2305*t[62])/48 - (1105*t[63])/48 + 
       (353*t[64])/16 + (527*t[65])/24 + (2363*t[66])/72 + (2*t[70])/3 - 
       (2*t[71])/3 - 2*t[72] + 4*t[73] + t[74] - 4*t[75] - (53*t[76])/3 - 
       t[77]/3 + (65*t[78])/3 + 7*t[79] - 18*t[80] - (29*t[81])/6 - 
       (19*t[82])/6 - (4*t[83])/3 + (71*t[84])/8 + (119*t[85])/24 - 3*t[86] + 
       (905*t[87])/24 + (355*t[88])/16 + (343*t[89])/16 - 2*t[95] - 
       (26*t[96])/3 - 6*t[97] - 104*t[98] + 112*t[99] + 63*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-t[1] + (115*t[2])/12 + (199*t[3])/24 + (63*t[4])/4 + (61*t[5])/8 - 
       (87*t[6])/16 - (745*t[7])/12 + (47*t[8])/6 - 61*t[9] + 
       (247*t[10])/24 - (899*t[11])/48 - (215*t[12])/12 - (289*t[13])/216 - 
       (833*t[14])/18 - (3755*t[15])/432 + (8*t[20])/3 + (2*t[24])/3 + 
       (8*t[27])/3 + t[29]/6 + 8*t[30] + 2*t[31] + t[32]/3 + (13*t[33])/3 - 
       (10*t[34])/3 + 4*t[35] - 4*t[36] - t[37]/3 + (4*t[38])/3 - 
       (28*t[39])/3 + (47*t[40])/6 - (7*t[41])/6 + (7*t[42])/6 + 
       (5*t[43])/6 - (3*t[44])/4 + 11*t[45] + t[46] - 12*t[47] + 
       (67*t[48])/16 - (55*t[49])/24 - (43*t[50])/48 + (49*t[51])/16 - 
       (149*t[52])/48 - (73*t[53])/24 - (193*t[54])/48 - (16*t[59])/3 - 
       (205*t[60])/24 - (1757*t[61])/24 + (2305*t[62])/48 - (1105*t[63])/48 + 
       (353*t[64])/16 + (527*t[65])/24 + (2363*t[66])/72 + (2*t[70])/3 - 
       (2*t[71])/3 - 2*t[72] + 4*t[73] + t[74] - 4*t[75] - (53*t[76])/3 - 
       t[77]/3 + (65*t[78])/3 + 7*t[79] - 18*t[80] - (29*t[81])/6 - 
       (19*t[82])/6 - (4*t[83])/3 + (71*t[84])/8 + (119*t[85])/24 - 3*t[86] + 
       (905*t[87])/24 + (355*t[88])/16 + (343*t[89])/16 - 2*t[95] - 
       (26*t[96])/3 - 6*t[97] - 104*t[98] + 112*t[99] + 63*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      (-t[1] + (7*t[2])/12 + (43*t[3])/12 - (121*t[4])/12 + (25*t[5])/24 + 
       (73*t[6])/48 - (101*t[7])/6 - (77*t[8])/12 - (217*t[9])/6 - 
       (419*t[10])/24 - (1745*t[11])/48 - (31*t[12])/2 - (1165*t[13])/108 - 
       (871*t[14])/18 + (1139*t[15])/216 - (2*t[24])/3 + (8*t[27])/3 + 
       2*t[28] - t[29]/3 + (20*t[30])/3 + (5*t[32])/3 + t[33]/3 - 8*t[34] - 
       4*t[35] + 4*t[36] - t[37]/3 + (4*t[38])/3 - (22*t[39])/3 + 
       (53*t[40])/6 - (7*t[41])/6 + (7*t[42])/6 - t[43]/6 + (37*t[44])/6 + 
       (31*t[45])/3 + t[46] - 10*t[47] + (141*t[48])/16 - (103*t[49])/8 + 
       (185*t[50])/16 + (281*t[51])/48 - (875*t[52])/48 + (181*t[53])/24 + 
       (103*t[54])/16 - t[59]/3 - (1063*t[60])/24 - (1109*t[61])/24 + 
       (2609*t[62])/48 + (839*t[63])/48 + (443*t[64])/48 + (5077*t[65])/72 + 
       (7859*t[66])/72 + (2*t[70])/3 - (2*t[71])/3 - (10*t[72])/3 + 4*t[73] - 
       t[74] - 4*t[75] - (55*t[76])/3 + t[77]/3 + (71*t[78])/3 - 
       (46*t[80])/3 - (13*t[81])/2 + (31*t[82])/6 - (4*t[83])/3 + 
       (229*t[84])/24 + (43*t[85])/24 + 2*t[86] + (1301*t[87])/24 + 
       (487*t[88])/16 + (1195*t[89])/48 - 2*t[95] - (26*t[96])/3 - 6*t[97] - 
       104*t[98] + 112*t[99] + 63*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*(-t[1] + (7*t[2])/12 + 
       (43*t[3])/12 - (121*t[4])/12 + (25*t[5])/24 + (73*t[6])/48 - 
       (101*t[7])/6 - (77*t[8])/12 - (217*t[9])/6 - (419*t[10])/24 - 
       (1745*t[11])/48 - (31*t[12])/2 - (1165*t[13])/108 - (871*t[14])/18 + 
       (1139*t[15])/216 - (2*t[24])/3 + (8*t[27])/3 + 2*t[28] - t[29]/3 + 
       (20*t[30])/3 + (5*t[32])/3 + t[33]/3 - 8*t[34] - 4*t[35] + 4*t[36] - 
       t[37]/3 + (4*t[38])/3 - (22*t[39])/3 + (53*t[40])/6 - (7*t[41])/6 + 
       (7*t[42])/6 - t[43]/6 + (37*t[44])/6 + (31*t[45])/3 + t[46] - 
       10*t[47] + (141*t[48])/16 - (103*t[49])/8 + (185*t[50])/16 + 
       (281*t[51])/48 - (875*t[52])/48 + (181*t[53])/24 + (103*t[54])/16 - 
       t[59]/3 - (1063*t[60])/24 - (1109*t[61])/24 + (2609*t[62])/48 + 
       (839*t[63])/48 + (443*t[64])/48 + (5077*t[65])/72 + (7859*t[66])/72 + 
       (2*t[70])/3 - (2*t[71])/3 - (10*t[72])/3 + 4*t[73] - t[74] - 4*t[75] - 
       (55*t[76])/3 + t[77]/3 + (71*t[78])/3 - (46*t[80])/3 - (13*t[81])/2 + 
       (31*t[82])/6 - (4*t[83])/3 + (229*t[84])/24 + (43*t[85])/24 + 
       2*t[86] + (1301*t[87])/24 + (487*t[88])/16 + (1195*t[89])/48 - 
       2*t[95] - (26*t[96])/3 - 6*t[97] - 104*t[98] + 112*t[99] + 
       63*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-10*t[1])/3 - 9*t[2] + (21*t[3])/2 + 
       (149*t[4])/6 - (1159*t[5])/48 - 12*t[6] - (47*t[7])/3 - (63*t[8])/2 - 
       (3191*t[9])/48 + (85*t[10])/6 - (9*t[11])/8 - (589*t[12])/48 + 
       (173*t[13])/36 - (689*t[14])/16 + (3677*t[15])/864 - (5*t[17])/6 - 
       2*t[18] + 2*t[19] - 2*t[20] - (20*t[21])/3 + (22*t[22])/3 + 
       (22*t[23])/3 - 4*t[24] + (7*t[25])/3 + (2*t[26])/3 + (5*t[27])/3 - 
       (52*t[28])/3 - (7*t[29])/2 + (35*t[30])/6 - t[31] + (17*t[32])/3 - 
       (31*t[33])/6 - (61*t[34])/3 + 8*t[35] - 4*t[36] - 3*t[37] - 
       (32*t[39])/3 + 8*t[40] - 4*t[41] + (5*t[42])/3 + (35*t[43])/24 + 
       (15*t[44])/2 + (151*t[45])/12 + (17*t[46])/6 - (11*t[47])/6 - 
       (205*t[48])/12 - (75*t[49])/4 + (167*t[50])/12 + (89*t[51])/12 - 
       (271*t[52])/12 + (75*t[53])/4 - (25*t[54])/6 - (2*t[58])/3 - t[59]/3 - 
       (679*t[60])/12 - (601*t[61])/12 + (319*t[62])/8 - (877*t[63])/24 + 
       (17*t[64])/24 - (159*t[65])/4 + (1381*t[66])/12 + t[68]/3 - 2*t[69] + 
       4*t[70] - 4*t[71] - 2*t[72] - 2*t[73] + (14*t[74])/3 - 2*t[75] - 
       24*t[76] + (5*t[77])/3 + (44*t[78])/3 + 2*t[79] - 39*t[80] - 
       (31*t[81])/3 - (22*t[82])/3 - (5*t[83])/3 - (8*t[84])/3 - 
       (47*t[85])/2 - 5*t[86] + (188*t[87])/3 + (63*t[88])/2 + (19*t[89])/8 - 
       t[90]/3 + t[92]/3 + t[94]/3 - (4*t[95])/3 - (8*t[97])/3 - 160*t[98] + 
       148*t[99] + 63*t[100]) + HPL[{1}, 1 - w]^2*Qep[v, u, w]*
      ((-184*t[2])/9 + 32*t[3] - (52*t[4])/3 - (160*t[5])/3 + (88*t[6])/3 + 
       (68*t[7])/3 + (320*t[8])/3 + (160*t[9])/3 + (34*t[10])/3 - 
       (188*t[11])/3 + 14*t[12] - (388*t[13])/9 - (281*t[14])/9 - 
       (62*t[15])/9 - (32*t[23])/3 - (32*t[24])/3 + (112*t[29])/3 - 
       (40*t[30])/3 + (32*t[31])/3 + (104*t[32])/3 - (104*t[33])/3 + 
       (128*t[35])/3 + 16*t[44] + (92*t[48])/3 - (10*t[49])/3 + (5*t[51])/3 + 
       (10*t[53])/3 + (124*t[54])/3 + (64*t[59])/9 - (212*t[60])/3 - 
       (128*t[61])/3 + 42*t[62] + (178*t[63])/3 - 8*t[64] + 76*t[65] + 
       (604*t[66])/3 + 16*t[73] - (32*t[74])/3 + (80*t[75])/3 - 
       (32*t[79])/3 - 8*t[81] + 8*t[82] - (80*t[83])/3 - (20*t[84])/3 + 
       (8*t[85])/3 + 32*t[86] - 12*t[87] - 6*t[88] - (58*t[89])/3 + 
       64*t[100]) + HPL[{1}, 1 - u]^2*Qep[v, w, u]*
      ((-76*t[3])/3 - (230*t[5])/3 + (284*t[6])/3 - (160*t[7])/3 + 284*t[8] + 
       14*t[9] + (20*t[10])/3 - (304*t[11])/3 - (10*t[12])/3 - 
       (316*t[13])/9 + (314*t[14])/9 + (565*t[15])/27 + (80*t[28])/3 + 
       20*t[29] + 16*t[30] - (32*t[31])/3 - (64*t[35])/3 + 16*t[40] - 
       (148*t[44])/3 + 72*t[48] - (76*t[50])/3 + (76*t[52])/3 + 
       (284*t[54])/3 - 64*t[60] + (262*t[62])/3 + (170*t[63])/3 - 
       (112*t[64])/3 + (1052*t[65])/9 + (812*t[66])/3 - (32*t[72])/3 + 
       (16*t[73])/3 + 16*t[75] - 32*t[76] - (16*t[79])/3 - 48*t[83] + 
       4*t[84] + 4*t[85] - (80*t[86])/3 - 16*t[87] - 8*t[88] + 
       (304*t[89])/3 + 64*t[100]) + HPL[{0, 1}, 1 - w]*Qep[v, w, u]*
      (-16*t[1] - 80*t[2] + 156*t[3] + (296*t[4])/3 - (76*t[5])/3 - 
       (2*t[6])/3 - (352*t[7])/3 - (496*t[8])/3 - 112*t[9] + (28*t[10])/3 - 
       (254*t[11])/3 + (128*t[12])/3 + (100*t[13])/9 - (1256*t[14])/9 - 
       (746*t[15])/9 + (64*t[20])/3 + (64*t[24])/3 - (16*t[29])/3 + 
       (128*t[30])/3 + (64*t[31])/3 - 56*t[32] + (32*t[33])/3 + 32*t[34] - 
       (32*t[36])/3 + (32*t[37])/3 + (32*t[38])/3 - (64*t[39])/3 + 
       (64*t[40])/3 - (16*t[43])/3 + (40*t[44])/3 - (32*t[47])/3 - 10*t[48] + 
       12*t[49] - 34*t[50] - (10*t[51])/3 + 2*t[52] - 12*t[53] + 2*t[54] - 
       16*t[59] - (388*t[60])/3 - (1084*t[61])/3 + (938*t[62])/3 + 2*t[63] - 
       (206*t[64])/3 + 68*t[65] + (580*t[66])/3 - (64*t[70])/3 + 
       (64*t[71])/3 - (128*t[72])/3 + (32*t[73])/3 - 32*t[74] - 
       (32*t[75])/3 + (64*t[76])/3 + (128*t[79])/3 - 64*t[80] + 
       (64*t[81])/3 + (32*t[82])/3 - (64*t[83])/3 - (124*t[84])/3 + 
       (116*t[85])/3 - 128*t[86] + (308*t[87])/3 - (134*t[88])/3 + 
       (250*t[89])/3 + (64*t[95])/3 + (64*t[96])/3 - (32*t[97])/3 + 
       128*t[98] + 64*t[100]) + HPL[{0, 1}, 1 - u]*Qep[w, v, u]*
      ((736*t[2])/9 - (2030*t[3])/9 + (128*t[4])/9 - (1132*t[5])/9 + 
       (1009*t[6])/9 - (172*t[7])/9 + (2488*t[8])/9 - (302*t[9])/9 - 
       (304*t[10])/9 - (1409*t[11])/9 - (316*t[12])/3 - (7366*t[13])/81 - 
       (2717*t[14])/27 + (3034*t[15])/81 - (128*t[24])/9 + (128*t[27])/9 + 
       32*t[28] - (136*t[29])/9 + (512*t[30])/9 - (64*t[31])/3 + 
       (848*t[32])/9 - (416*t[33])/9 - (224*t[34])/3 - 64*t[35] + 
       (128*t[36])/3 + (128*t[37])/9 + (160*t[38])/9 - (256*t[39])/9 + 
       (520*t[40])/9 - (32*t[41])/9 + (32*t[42])/9 - (32*t[43])/9 + 
       (164*t[44])/9 + (1408*t[45])/9 + (16*t[46])/3 - 128*t[47] + 
       (329*t[48])/3 - (368*t[49])/3 + (133*t[50])/3 + (524*t[51])/9 - 
       (1103*t[52])/9 + (848*t[53])/9 + (547*t[54])/3 - (64*t[59])/9 + 
       (958*t[60])/9 + (2342*t[61])/9 + (161*t[62])/9 - (1753*t[63])/9 - 
       (625*t[64])/9 + (11366*t[65])/27 + (10402*t[66])/27 + (128*t[70])/9 - 
       (128*t[71])/9 - (64*t[72])/9 + (64*t[73])/3 - (64*t[75])/3 - 
       (1408*t[76])/9 + (64*t[77])/9 + (2144*t[78])/9 - (2368*t[80])/9 - 
       (32*t[81])/3 - (160*t[82])/9 - (160*t[83])/9 + (1814*t[84])/9 - 
       (634*t[85])/9 - (128*t[86])/3 + (3898*t[87])/9 + (863*t[88])/3 + 
       (2545*t[89])/9 - (128*t[95])/3 - (512*t[96])/9 - 32*t[97] - 
       (3200*t[98])/3 + 1152*t[99] + 64*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      (2*t[1] - (65*t[2])/4 - (5*t[3])/8 - t[4]/2 + (23*t[5])/2 + 
       (25*t[6])/4 - (75*t[7])/4 + (29*t[8])/4 - (51*t[9])/2 + (19*t[10])/4 - 
       24*t[11] - (19*t[12])/4 - (143*t[13])/36 - (87*t[14])/4 - 
       (437*t[15])/144 + t[20] + 2*t[28] - (3*t[29])/2 - 2*t[30] + 2*t[31] + 
       (5*t[32])/2 + 5*t[33] - 9*t[34] - t[36] + 2*t[38] - 3*t[39] + 
       (5*t[40])/2 + t[41]/2 - t[42]/2 + (5*t[44])/4 + (7*t[45])/2 - 
       t[46]/2 - (3*t[47])/2 + (27*t[48])/2 - (5*t[49])/4 - (13*t[50])/2 + 
       2*t[51] + (9*t[52])/2 + (5*t[53])/4 + (33*t[54])/4 + (7*t[59])/4 + 
       (3*t[60])/4 - (61*t[61])/2 + (207*t[62])/8 - (291*t[63])/8 + 
       (7*t[64])/4 + (57*t[65])/4 + (485*t[66])/12 + t[69] + 2*t[70] - 
       2*t[71] - 3*t[72] + t[74] + 3*t[75] - (11*t[76])/2 + 4*t[77] + 
       4*t[79] - 2*t[80] - (15*t[81])/2 + (7*t[82])/2 - (27*t[83])/2 - 
       t[84]/2 + 3*t[85] - 22*t[86] - t[87] + (17*t[88])/2 + (207*t[89])/8 - 
       2*t[95] - 2*t[96] + t[97]/2 - 24*t[98] + 12*t[99] + (129*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-13*t[1])/6 + (95*t[2])/12 + (1291*t[3])/24 - (269*t[4])/8 - 
       (251*t[5])/48 - (1687*t[6])/24 + (197*t[7])/12 - (177*t[8])/2 - 
       (2219*t[9])/48 - (95*t[10])/16 - (499*t[11])/12 + (401*t[12])/24 - 
       (2201*t[13])/36 - (34157*t[14])/288 + (247*t[15])/32 - 5*t[17] + 
       2*t[19] - 24*t[20] - 8*t[21] + (52*t[22])/3 + (20*t[23])/3 - 
       (20*t[24])/3 + (34*t[27])/3 - 18*t[28] - (10*t[29])/3 - 4*t[31] + 
       (7*t[32])/6 - (41*t[33])/3 - (49*t[34])/3 + 16*t[35] - 4*t[36] - 
       (20*t[37])/3 + (2*t[38])/3 + 2*t[39] - 4*t[40] - (5*t[41])/6 + 
       (7*t[42])/6 - (127*t[43])/24 - (20*t[44])/3 - 14*t[45] + 
       (11*t[46])/3 + 37*t[47] - (395*t[48])/24 - (1307*t[49])/48 + 
       (259*t[50])/8 + (453*t[51])/32 - (283*t[52])/8 + (1051*t[53])/48 - 
       (115*t[54])/6 + t[55]/3 + (4*t[56])/3 - (2*t[57])/3 + (7*t[59])/3 - 
       (1761*t[60])/8 - (4213*t[61])/24 + (777*t[62])/16 + (971*t[63])/16 + 
       (4583*t[64])/48 + (11867*t[65])/72 + (22169*t[66])/72 + t[67]/3 + 
       (34*t[68])/3 + 2*t[69] - 20*t[72] + 2*t[73] - (14*t[74])/3 - 6*t[75] - 
       (127*t[76])/3 - 7*t[77] + (115*t[78])/3 + 26*t[79] - (59*t[80])/3 - 
       (101*t[81])/6 + (125*t[82])/6 + 23*t[83] - (715*t[84])/24 - 
       (339*t[85])/8 + (231*t[86])/2 + (1933*t[87])/24 + (2141*t[88])/48 - 
       (1511*t[89])/48 - (2*t[90])/3 + t[91]/6 - 2*t[93] + (20*t[95])/3 - 
       (28*t[96])/3 - (22*t[97])/3 - 144*t[98] + 176*t[99] + 65*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-7*t[1])/6 - (197*t[2])/12 + (685*t[3])/24 + (335*t[4])/8 + 
       (1765*t[5])/48 - (901*t[6])/24 - 19*t[7] - (521*t[8])/12 - 
       (3167*t[9])/48 + (1007*t[10])/48 + (389*t[11])/6 - (1015*t[12])/24 + 
       (1873*t[13])/54 - (20113*t[14])/288 - (529*t[15])/288 + (5*t[17])/3 - 
       (16*t[19])/3 + 12*t[20] - 8*t[21] - 6*t[22] + 8*t[23] + 4*t[24] + 
       (10*t[27])/3 - (20*t[29])/3 - (34*t[30])/3 - 2*t[31] - (25*t[32])/6 + 
       (37*t[33])/3 - (71*t[34])/3 - 2*t[35] + 4*t[36] + (2*t[37])/3 + 
       (5*t[38])/3 - (7*t[39])/3 - (5*t[40])/6 - (11*t[41])/2 + 
       (11*t[42])/2 - (149*t[43])/24 + 23*t[44] + (81*t[45])/2 - 
       (7*t[46])/3 - (122*t[47])/3 + (319*t[48])/24 - (65*t[49])/16 + 
       (491*t[50])/24 + (113*t[51])/32 - (193*t[52])/8 + t[53]/16 - 
       (273*t[54])/4 - t[55]/3 - t[56] + 2*t[57] - (11*t[59])/6 + 
       (83*t[60])/8 + (407*t[61])/24 - (395*t[62])/16 + (1285*t[63])/48 - 
       (555*t[64])/16 + (79*t[65])/8 - (4247*t[66])/72 - (16*t[68])/3 + 
       6*t[69] + (4*t[70])/3 - (4*t[71])/3 + 2*t[73] + (8*t[74])/3 + 
       14*t[75] - 10*t[76] + (10*t[77])/3 + 14*t[78] - 12*t[79] - 55*t[80] + 
       t[81]/6 - (49*t[82])/2 - 25*t[83] + (139*t[84])/8 - (29*t[85])/24 - 
       (119*t[86])/6 - (679*t[87])/24 - (455*t[88])/48 + (135*t[89])/16 - 
       t[91]/6 + 2*t[93] + (20*t[95])/3 - (22*t[96])/3 - (19*t[97])/3 - 
       144*t[98] + 176*t[99] + 65*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*(-t[1]/3 + 3*t[2] + 
       (6725*t[3])/96 + (143*t[4])/4 + (35*t[5])/6 - (8173*t[6])/96 - 
       (1447*t[7])/48 - (7777*t[8])/48 - (505*t[9])/8 - (37*t[10])/8 + 
       (4417*t[11])/96 - (851*t[12])/48 + (23629*t[13])/864 - 
       (32275*t[14])/288 - (66943*t[15])/1728 + (4*t[20])/3 - t[22] + 
       (4*t[24])/3 - (2*t[27])/3 + 16*t[28] - (113*t[29])/24 - t[30]/12 - 
       (22*t[31])/3 - (47*t[32])/12 + (7*t[33])/3 - (71*t[34])/12 - 
       (32*t[35])/3 + (4*t[37])/3 + 6*t[38] - (8*t[39])/3 + (79*t[40])/6 - 
       (5*t[41])/6 + (5*t[42])/6 - (43*t[43])/12 + (15*t[44])/8 + 
       (38*t[45])/3 + t[46] + t[47]/6 - (1143*t[48])/32 - (349*t[49])/24 + 
       (353*t[50])/32 + (553*t[51])/48 - (993*t[52])/32 + (95*t[53])/8 - 
       (5837*t[54])/96 - (203*t[59])/24 - (539*t[60])/16 - (1191*t[61])/16 - 
       (2207*t[62])/32 - (11003*t[63])/96 + (3595*t[64])/32 - 
       (589*t[65])/72 - (941*t[66])/8 - (8*t[70])/3 + (8*t[71])/3 - 
       (28*t[72])/3 + (32*t[73])/3 - (4*t[74])/3 + 4*t[75] - (59*t[76])/2 - 
       (8*t[77])/3 + 24*t[78] - (38*t[79])/3 - 21*t[80] - (65*t[81])/12 - 
       (155*t[82])/12 - (70*t[83])/3 + (181*t[84])/24 - (21*t[85])/2 + 
       (166*t[86])/3 + (1229*t[87])/24 + (859*t[88])/48 - (869*t[89])/96 - 
       (4*t[95])/3 - (4*t[96])/3 - (43*t[97])/6 - 168*t[98] + 176*t[99] + 
       (131*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - u]*(3*t[1] - (13*t[2])/8 + (149*t[3])/8 + 
       (221*t[4])/8 - (5*t[5])/2 - (185*t[6])/8 - (51*t[7])/2 - 
       (233*t[8])/8 - (217*t[9])/8 + (77*t[10])/16 + (3*t[11])/2 - 
       (363*t[12])/16 + (331*t[13])/24 - (3595*t[14])/96 - (2135*t[15])/144 - 
       t[20]/2 + 7*t[28] - (9*t[29])/2 + (25*t[30])/4 - 6*t[31] - 
       (11*t[32])/4 + (29*t[33])/4 - (41*t[34])/2 - 15*t[35] + 6*t[38] + 
       9*t[40] - 8*t[44] + 21*t[45] - 15*t[47] - (25*t[48])/4 - 
       (179*t[49])/16 - (59*t[50])/8 + (275*t[51])/32 - (85*t[52])/8 + 
       (179*t[53])/16 - (9*t[54])/2 - (13*t[59])/4 + (227*t[60])/8 - 
       2*t[61] + (47*t[62])/16 - (1719*t[63])/16 - (83*t[64])/8 - 
       (89*t[65])/24 - (369*t[66])/8 - 6*t[72] - (3*t[73])/2 + (7*t[74])/2 - 
       (15*t[75])/2 - 21*t[76] + 12*t[78] + (3*t[79])/2 - 18*t[80] - 
       (13*t[81])/4 - (11*t[82])/4 - 7*t[83] + (151*t[84])/8 - (15*t[85])/2 - 
       (37*t[86])/2 + (267*t[87])/8 + (305*t[88])/16 + (823*t[89])/16 - 
       4*t[95] - 3*t[97] - 144*t[98] + 144*t[99] + 66*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((99*t[2])/8 - (13*t[3])/4 - (41*t[4])/4 + (139*t[5])/8 + 
       (443*t[6])/32 - 35*t[7] + (363*t[8])/8 - (381*t[9])/16 + (3*t[10])/8 - 
       (35*t[11])/32 - (49*t[12])/4 + (67*t[13])/144 + (281*t[14])/96 + 
       (471*t[15])/32 - t[24]/2 + (3*t[28])/2 + (5*t[29])/2 - (11*t[30])/2 - 
       (3*t[31])/2 + (13*t[32])/4 + (7*t[33])/2 - (13*t[34])/2 - 
       (13*t[35])/2 + t[36]/2 - (3*t[37])/2 - t[38]/2 - (9*t[39])/4 - 
       t[40]/4 - (5*t[41])/4 + (5*t[42])/4 + (3*t[43])/4 - (37*t[44])/4 + 
       (11*t[45])/4 + (3*t[46])/4 - (15*t[47])/4 + (245*t[48])/32 + 
       (11*t[49])/8 - (119*t[50])/32 - (13*t[51])/8 + (247*t[52])/32 - 
       (35*t[53])/8 + (27*t[54])/32 + (21*t[59])/8 + (163*t[60])/16 - 
       (187*t[61])/16 - (359*t[62])/32 - (1273*t[63])/32 - (647*t[64])/32 - 
       (191*t[65])/48 - (47*t[66])/16 + 2*t[70] - 2*t[71] - 2*t[72] - t[73] + 
       (5*t[74])/2 - (17*t[76])/2 - t[77]/2 + (35*t[78])/4 - (25*t[79])/2 + 
       (7*t[80])/2 - 6*t[81] - (11*t[82])/2 + 7*t[83] + (67*t[84])/16 + 
       (61*t[85])/16 + (41*t[86])/2 + (7*t[87])/16 + (327*t[88])/32 + 
       (185*t[89])/32 - 2*t[95] - 5*t[96] - (5*t[97])/4 - 54*t[98] + 
       46*t[99] + (133*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*(t[1]/2 - 4*t[2] - (67*t[3])/16 - 
       (93*t[4])/8 + (165*t[5])/16 + t[6]/32 + (15*t[7])/2 + (25*t[8])/8 - 
       (7*t[9])/4 + (135*t[10])/16 - (921*t[11])/32 - (55*t[12])/8 - 
       (4421*t[13])/144 - (85*t[14])/16 + (203*t[15])/32 - (3*t[19])/2 + 
       (3*t[20])/2 + (3*t[21])/2 + t[25]/2 + t[28]/2 + (5*t[29])/4 + t[30] + 
       (29*t[32])/4 - t[33]/2 - 5*t[34] - (5*t[35])/2 - t[36]/2 + 
       (5*t[37])/2 + (3*t[38])/4 - (9*t[39])/2 + 5*t[40] - t[41]/2 - 
       t[42]/4 + t[43]/2 - (19*t[44])/8 + (17*t[45])/4 - (5*t[46])/4 - 
       (17*t[47])/4 + (279*t[48])/32 - (29*t[49])/16 + (251*t[50])/32 + 
       (59*t[51])/32 - (315*t[52])/32 + (13*t[53])/16 + (201*t[54])/32 + 
       2*t[59] - (301*t[60])/16 - (69*t[61])/16 + (55*t[62])/32 + 
       (697*t[63])/32 - (641*t[64])/32 + (707*t[65])/48 + (3725*t[66])/48 + 
       2*t[70] - 2*t[71] - 2*t[72] - 4*t[73] + (3*t[74])/2 + 3*t[75] - 
       (23*t[76])/2 + (11*t[78])/2 + 2*t[79] - 10*t[80] - (55*t[81])/4 + 
       (11*t[82])/2 - (63*t[84])/16 - (93*t[85])/16 - 6*t[86] + 
       (189*t[87])/16 + (517*t[88])/32 + (265*t[89])/32 - 2*t[95] - 
       (7*t[96])/2 + t[97]/2 - 54*t[98] + 46*t[99] + (133*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      (-t[1] - 17*t[2] + 65*t[3] + t[4] + (87*t[5])/2 + (7*t[6])/2 - 
       (323*t[7])/4 + (99*t[8])/4 - (343*t[9])/4 - (39*t[10])/4 - 
       (19*t[11])/2 + (5*t[12])/4 + (39*t[13])/4 - (1315*t[14])/12 - 
       (683*t[15])/72 - t[17]/2 + 6*t[28] + (45*t[29])/2 + (19*t[30])/2 + 
       (5*t[32])/2 - t[34] + 8*t[35] + t[37] - t[38] - 2*t[39] + t[40]/2 - 
       t[41] + t[42] + t[43]/2 - 20*t[44] - (11*t[45])/2 + (11*t[47])/2 + 
       (51*t[48])/2 + (13*t[49])/2 - 32*t[50] - (15*t[51])/4 + 32*t[52] - 
       (13*t[53])/2 + t[54] + t[55] + (5*t[59])/4 - (485*t[60])/4 - 
       118*t[61] + (371*t[62])/8 + (221*t[63])/8 + (631*t[64])/4 + 
       (265*t[65])/6 + (184*t[66])/3 + t[68] - 2*t[70] + 2*t[71] - 4*t[72] - 
       18*t[73] - 8*t[74] + 94*t[75] + (15*t[76])/2 - t[77] - 8*t[78] + 
       2*t[79] + 5*t[80] + 5*t[81] + 5*t[82] - 43*t[83] - (75*t[84])/2 - 
       (65*t[85])/4 + 28*t[86] + (157*t[87])/4 + (35*t[88])/8 - 4*t[89] + 
       16*t[95] + 2*t[96] - t[97]/2 + 48*t[98] - 60*t[99] + 71*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      (t[1]/2 - (39*t[2])/4 + (237*t[3])/4 + (71*t[4])/4 + (395*t[5])/8 + 
       (73*t[6])/4 - (213*t[7])/2 + 52*t[8] - (609*t[9])/8 - (73*t[10])/8 - 
       17*t[11] - (49*t[12])/4 + (121*t[13])/9 - (1111*t[14])/16 - 
       (2209*t[15])/144 - t[17]/2 + 40*t[20] + 4*t[24] - 6*t[27] + 52*t[28] + 
       5*t[29] - 9*t[30] + 4*t[31] - (13*t[32])/2 + (13*t[33])/2 + 4*t[34] + 
       t[37] + t[38]/2 + (7*t[39])/2 + t[40] - (3*t[41])/2 + (3*t[42])/2 + 
       t[43]/2 - (43*t[44])/2 - 2*t[45] - 3*t[46] + 4*t[47] + (171*t[48])/4 + 
       (101*t[49])/8 - (165*t[50])/4 - (61*t[51])/16 + (149*t[52])/4 - 
       (85*t[53])/8 - t[54] - (5*t[59])/2 - 45*t[60] - (215*t[61])/2 + 
       89*t[62] - (175*t[63])/2 + (957*t[64])/8 + (671*t[65])/12 + 
       (187*t[66])/12 + 2*t[68] - 2*t[70] + 2*t[71] + 24*t[72] - 18*t[73] - 
       8*t[74] + 94*t[75] + 8*t[76] - 2*t[77] - 11*t[78] - 14*t[79] + 
       4*t[80] + (9*t[81])/2 - (23*t[82])/2 - 67*t[83] - (93*t[84])/4 - 
       (43*t[85])/2 - 16*t[86] + (19*t[87])/2 - (21*t[88])/2 + 
       (237*t[89])/8 + t[90] + 4*t[93] + 16*t[95] + 5*t[96] + t[97] + 
       48*t[98] - 60*t[99] + 71*t[100]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-9*t[2])/2 - 15*t[3] + 27*t[4] - 
       (171*t[5])/4 - (273*t[6])/8 + 48*t[7] - 90*t[8] + 60*t[9] + 
       (81*t[10])/2 + (213*t[11])/8 - (81*t[12])/4 - (15*t[13])/2 + 
       (165*t[14])/8 - (19*t[15])/6 + 15*t[29] + 21*t[30] + 6*t[31] + 
       12*t[32] - 12*t[33] + 6*t[35] - 6*t[36] + 3*t[43] + (21*t[44])/2 + 
       3*t[46] - (99*t[48])/8 + (27*t[49])/2 + (345*t[50])/8 - (9*t[51])/2 - 
       (345*t[52])/8 - (27*t[53])/2 - (285*t[54])/8 - (45*t[60])/4 - 
       (9*t[61])/4 - (345*t[62])/8 + (513*t[63])/8 - (615*t[64])/8 - 
       (119*t[65])/4 - (141*t[66])/4 - 6*t[72] + 9*t[76] - 12*t[79] + 
       6*t[81] - 12*t[82] + 30*t[83] - (51*t[84])/4 + (21*t[85])/4 + 
       12*t[86] - (21*t[87])/4 - (21*t[88])/8 - (147*t[89])/8 + 72*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((9*t[2])/2 + (81*t[3])/4 - 27*t[4] + (237*t[5])/4 - (93*t[6])/8 - 
       (51*t[7])/2 - (87*t[8])/2 - (81*t[9])/2 - (33*t[10])/2 - 
       (195*t[11])/8 + (3*t[12])/4 - (3*t[13])/4 - (267*t[14])/8 - 
       (7*t[15])/24 + 3*t[29] - 3*t[30] + 3*t[31] - 6*t[35] + 6*t[36] - 
       (9*t[40])/2 + (3*t[44])/2 - 3*t[46] + (45*t[48])/8 - (21*t[49])/2 - 
       (87*t[50])/8 + 3*t[51] + (87*t[52])/8 + (21*t[53])/2 - (69*t[54])/8 + 
       (87*t[60])/4 - (243*t[61])/4 + (687*t[62])/8 - (111*t[63])/8 - 
       (195*t[64])/8 - (65*t[65])/4 + (81*t[66])/4 - 3*t[72] + 9*t[76] + 
       12*t[79] - 6*t[81] + 24*t[82] - 24*t[83] - (9*t[84])/4 - 
       (21*t[85])/4 - 72*t[86] - (27*t[87])/4 - (27*t[88])/8 - 
       (123*t[89])/8 + 72*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*(9*t[1] + (15*t[2])/4 + (157*t[3])/16 + 
       (97*t[4])/4 + (133*t[5])/16 + (43*t[6])/2 - 3*t[7] + (243*t[8])/8 - 
       (195*t[9])/16 - (161*t[10])/8 - (21*t[11])/4 - (153*t[12])/16 + 
       (111*t[13])/16 - (1837*t[14])/48 - (311*t[15])/24 - t[16] + t[23]/2 - 
       2*t[25] - 4*t[26] - t[27] - t[28] - t[29]/4 - (15*t[30])/4 - 
       (9*t[31])/2 + t[32] - t[33] - 3*t[35] + 2*t[36] + t[37]/2 + 6*t[38] - 
       (3*t[39])/2 - (47*t[40])/8 - 3*t[43] - (23*t[44])/8 - (19*t[45])/4 - 
       5*t[46] + (19*t[47])/2 + (73*t[48])/8 + (19*t[50])/8 + (63*t[51])/8 + 
       (29*t[52])/8 - (45*t[54])/8 + (3*t[58])/2 - (9*t[59])/4 - 11*t[60] - 
       (351*t[61])/4 + (243*t[62])/16 - (1407*t[63])/16 + (163*t[64])/2 - 
       (21*t[65])/8 + (223*t[66])/8 + t[68] + 4*t[69] - 4*t[70] + 4*t[71] - 
       (23*t[72])/2 - 3*t[74] - 3*t[75] - 8*t[76] + (9*t[77])/2 + 13*t[78] + 
       12*t[79] - 7*t[81] - (9*t[82])/2 + (3*t[83])/2 - (13*t[84])/8 - 
       (19*t[85])/8 + (45*t[86])/2 + (347*t[87])/8 + (355*t[88])/16 + 
       (187*t[89])/8 - t[93] - 2*t[96] - (5*t[97])/2 - 30*t[98] + 26*t[99] + 
       72*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*(-t[1]/2 + 4*t[2] - (167*t[3])/16 + 
       (105*t[4])/8 - (181*t[5])/8 + (95*t[6])/8 - (11*t[7])/8 + 
       (177*t[8])/4 + (21*t[9])/8 + (539*t[10])/16 - (187*t[11])/8 + 
       (57*t[12])/16 - (1541*t[13])/48 + (203*t[14])/96 - (437*t[15])/96 - 
       2*t[20] - 2*t[21] + 7*t[22] + 2*t[23] - t[25]/2 + (5*t[26])/2 + 
       4*t[27] - 2*t[28] + (11*t[29])/2 + (19*t[30])/4 - t[31] + 3*t[32] - 
       3*t[33] - (9*t[34])/2 - 2*t[36] - t[38]/2 - (3*t[40])/2 + 
       (5*t[41])/4 - (7*t[42])/4 - (27*t[43])/4 + t[44] + 9*t[45] - 
       (17*t[47])/2 + (17*t[48])/2 + (181*t[49])/16 + (45*t[50])/4 - 
       (323*t[51])/32 - (19*t[52])/4 - (165*t[53])/16 - (23*t[54])/2 + 
       t[58] - (7*t[59])/2 - (255*t[60])/8 - (627*t[61])/8 + (791*t[62])/16 - 
       (107*t[63])/16 - (293*t[64])/8 - (33*t[65])/4 + (371*t[66])/4 - 
       t[68] + 4*t[69] - 4*t[70] + 4*t[71] - 11*t[72] + 8*t[73] - 3*t[74] - 
       15*t[75] - (19*t[76])/2 - 2*t[77] + (15*t[78])/2 + 6*t[79] - 
       (95*t[80])/2 - (17*t[81])/2 - (9*t[82])/2 - 9*t[83] - (17*t[84])/4 + 
       (33*t[85])/4 - 4*t[86] + (101*t[87])/4 + (101*t[88])/8 + 
       (287*t[89])/16 - t[93] - 2*t[97] - 30*t[98] + 26*t[99] + 72*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (3*t[1] - (15*t[2])/2 + 15*t[3] + (81*t[4])/2 - (207*t[5])/8 - 
       (21*t[6])/8 - (45*t[7])/2 + (57*t[8])/4 - (177*t[9])/8 + 9*t[10] - 
       (93*t[11])/8 - (195*t[12])/8 + (14*t[13])/3 - (251*t[14])/8 - 
       (373*t[15])/48 + (15*t[29])/4 + 12*t[30] - 9*t[31] - 3*t[32] + 
       3*t[33] - 24*t[34] - 21*t[35] - 3*t[36] + 6*t[38] + (27*t[40])/2 - 
       (3*t[43])/2 - (3*t[44])/4 + 21*t[45] - 15*t[47] + (27*t[48])/8 - 
       (33*t[49])/4 - (3*t[50])/8 + (57*t[51])/8 - (141*t[52])/8 + 
       (33*t[53])/4 + (75*t[54])/8 - (3*t[59])/2 - (99*t[60])/4 + 
       (129*t[61])/4 + (117*t[62])/4 - (141*t[63])/4 - (435*t[64])/8 + 
       37*t[65] + 48*t[66] - 9*t[72] - 3*t[73] + 3*t[74] - 30*t[76] + 
       3*t[77] + 15*t[78] + 3*t[79] - 24*t[80] - 6*t[82] - 21*t[83] + 
       12*t[84] - (27*t[85])/2 - 45*t[86] + (99*t[87])/4 + (99*t[88])/8 + 
       (471*t[89])/8 - 3*t[97] - 144*t[98] + 144*t[99] + 72*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (3*t[1] - (3*t[2])/2 + (69*t[3])/2 + 30*t[4] + (9*t[5])/2 - 
       (159*t[6])/8 - (87*t[7])/2 - 15*t[8] - 57*t[9] + (93*t[10])/4 + 
       (27*t[11])/8 - (111*t[12])/2 + (533*t[13])/24 - (567*t[14])/8 - 
       (11*t[15])/4 - 6*t[24] + 3*t[28] + 3*t[30] - 9*t[31] - 9*t[32] + 
       9*t[33] - 21*t[34] - 3*t[35] - 3*t[36] - 6*t[37] + (3*t[38])/2 - 
       (15*t[39])/2 + 15*t[40] - (3*t[41])/2 + (3*t[42])/2 - (3*t[43])/2 - 
       6*t[44] + 21*t[45] + (3*t[46])/2 - 15*t[47] + (99*t[48])/8 - 
       (51*t[49])/4 + (63*t[50])/8 + (15*t[51])/2 - (183*t[52])/8 + 
       (27*t[53])/4 - (63*t[54])/8 + 3*t[59] - 51*t[60] + (27*t[61])/2 + 
       (21*t[62])/8 - (321*t[63])/8 + (51*t[64])/4 + 62*t[65] + 
       (37*t[66])/2 + 3*t[74] + 6*t[75] - 36*t[76] + 30*t[78] - 12*t[79] - 
       12*t[80] - (9*t[81])/2 - (27*t[82])/2 + 9*t[83] + (93*t[84])/4 - 
       (33*t[85])/2 + 30*t[86] + 51*t[87] + (51*t[88])/2 + (177*t[89])/4 - 
       9*t[96] - 9*t[97] - 216*t[98] + 216*t[99] + 72*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-7*t[1])/6 + (35*t[2])/24 - (331*t[3])/12 - 
       (175*t[4])/24 - (2285*t[5])/72 + (6041*t[6])/288 - (605*t[7])/8 + 
       (745*t[8])/18 - (5719*t[9])/144 + (1675*t[10])/144 - 
       (26557*t[11])/288 - (5009*t[12])/144 - (7085*t[13])/216 - 
       (6383*t[14])/144 - (66281*t[15])/2592 + (7*t[20])/3 + t[22] + 
       (10*t[24])/3 + (10*t[27])/3 + (13*t[28])/18 - (163*t[29])/72 + 
       (191*t[30])/72 - (8*t[31])/3 + (325*t[32])/72 + (185*t[33])/24 - 
       (73*t[34])/18 - (19*t[35])/3 - 6*t[36] + (5*t[37])/6 + (10*t[38])/3 - 
       (35*t[39])/3 + (137*t[40])/12 - (7*t[41])/12 + (7*t[42])/12 - 
       (13*t[43])/12 - (116*t[44])/9 + (143*t[45])/6 + (3*t[46])/2 - 
       (77*t[47])/3 + (2651*t[48])/288 - (883*t[49])/48 - (151*t[50])/96 + 
       (1055*t[51])/96 - (617*t[52])/96 + (371*t[53])/48 + 
       (12341*t[54])/288 - (259*t[59])/36 + (6553*t[60])/144 - 
       (13531*t[61])/144 + (18487*t[62])/288 - (27803*t[63])/288 + 
       (1465*t[64])/32 + (17909*t[65])/432 + (9881*t[66])/144 - t[69] + 
       (7*t[70])/3 - (7*t[71])/3 - (5*t[72])/3 + (25*t[73])/6 + 
       (187*t[74])/18 - (47*t[75])/6 - (223*t[76])/6 - (7*t[77])/6 + 
       (235*t[78])/6 + (40*t[79])/3 - 36*t[80] - (115*t[81])/36 - 
       (89*t[82])/36 - (8*t[83])/9 + (7633*t[84])/144 + (3991*t[85])/144 - 
       (55*t[86])/9 + (721*t[87])/16 + (10465*t[88])/288 + 
       (16319*t[89])/288 - (133*t[95])/9 - (55*t[96])/3 - (34*t[97])/3 - 
       236*t[98] + 240*t[99] + (218*t[100])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((-21*t[1])/4 - (85*t[2])/36 + (5683*t[3])/144 - (347*t[4])/24 + 
       (1091*t[5])/48 - (1235*t[6])/96 - (83*t[7])/9 - (469*t[8])/9 - 
       (51*t[9])/4 - (2927*t[10])/144 - (3359*t[11])/288 + (1507*t[12])/72 - 
       (4273*t[13])/1296 - (7853*t[14])/432 - (9521*t[15])/2592 + t[18] - 
       t[19] + (31*t[20])/9 - t[21] - 2*t[22] + t[23] + (13*t[24])/9 + 
       (4*t[27])/9 - 2*t[28] + (61*t[29])/36 - t[30]/3 + (11*t[31])/3 - 
       (767*t[32])/72 - (11*t[33])/18 + (197*t[34])/18 + 2*t[35] + 
       (7*t[36])/2 + (77*t[37])/18 - (29*t[38])/18 - (20*t[39])/9 - 
       (13*t[40])/9 - (41*t[41])/18 + (16*t[42])/9 + (11*t[43])/36 + 
       t[44]/24 - (85*t[45])/6 - (5*t[46])/6 + (37*t[47])/3 - 
       (1213*t[48])/96 + (287*t[49])/144 + (5*t[50])/288 - (253*t[51])/96 + 
       (1195*t[52])/288 - (415*t[53])/144 - (4285*t[54])/288 - 
       (31*t[59])/18 - (4957*t[60])/144 - (14987*t[61])/144 + 
       (15613*t[62])/288 + (16571*t[63])/288 - (3*t[64])/32 + 
       (691*t[65])/144 + (29543*t[66])/432 - t[69] - (29*t[70])/9 + 
       (29*t[71])/9 - (14*t[72])/3 - (5*t[73])/2 - (9*t[74])/2 - t[75]/2 + 
       (121*t[76])/18 - (44*t[77])/9 - (13*t[78])/18 - (10*t[79])/3 - 
       (8*t[80])/3 - (67*t[81])/18 + (187*t[82])/18 - (43*t[83])/18 - 
       (745*t[84])/48 + (1757*t[85])/144 + (2*t[86])/3 - (1639*t[87])/144 - 
       (2045*t[88])/96 - (1405*t[89])/96 + (17*t[95])/3 + (17*t[96])/9 - 
       2*t[97] + (170*t[98])/3 - 56*t[99] + 73*t[100]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*(-t[1] - (179*t[2])/36 + 
       (10451*t[3])/288 - (433*t[4])/36 + (2561*t[5])/144 - (6137*t[6])/576 - 
       (1609*t[7])/144 - (2281*t[8])/72 - (11077*t[9])/288 - (461*t[10])/72 - 
       (14423*t[11])/576 - (181*t[12])/48 - (21665*t[13])/2592 - 
       (59831*t[14])/1728 - (3541*t[15])/2592 - 2*t[18] - 2*t[20] + 2*t[22] + 
       (16*t[24])/9 + (2*t[27])/9 - t[28]/2 + (37*t[29])/72 - t[30]/9 + 
       (5*t[31])/3 - (325*t[32])/36 + (131*t[33])/18 + (11*t[34])/6 + t[35] - 
       (4*t[36])/3 - (7*t[37])/9 - (13*t[38])/18 - (22*t[39])/9 + 
       (155*t[40])/72 - (5*t[41])/9 + (5*t[42])/9 + (4*t[43])/9 + 
       (131*t[44])/144 - (59*t[45])/9 - (5*t[46])/12 + 4*t[47] - 
       (961*t[48])/192 + (47*t[49])/24 - (29*t[50])/192 - (65*t[51])/72 + 
       (535*t[52])/576 - (173*t[53])/72 - (1739*t[54])/192 - t[59]/9 - 
       (18223*t[60])/288 - (22715*t[61])/288 + (28439*t[62])/576 + 
       (24545*t[63])/576 + (10553*t[64])/576 + (8077*t[65])/864 + 
       (62783*t[66])/864 + 2*t[69] + (2*t[70])/9 - (2*t[71])/9 - t[72]/9 - 
       (5*t[73])/3 - t[74] + (5*t[75])/3 + (5*t[76])/9 - (8*t[77])/9 - 
       (185*t[78])/18 + (71*t[80])/9 - (23*t[81])/3 + (101*t[82])/9 + 
       (13*t[83])/18 - (4043*t[84])/288 + (1861*t[85])/288 - (8*t[86])/3 + 
       (1211*t[87])/288 - (1303*t[88])/192 - (5393*t[89])/576 + (4*t[95])/3 + 
       (10*t[96])/9 - (3*t[97])/2 + (58*t[98])/3 - 30*t[99] + 73*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-15*t[1])/4 + (61*t[2])/3 + (1025*t[3])/48 - 8*t[4] + (553*t[5])/24 - 
       (1979*t[6])/48 + (211*t[7])/24 - (565*t[8])/8 - (161*t[9])/6 - 
       (33*t[10])/2 + (449*t[11])/48 - (11*t[12])/6 - (1997*t[13])/432 - 
       (1717*t[14])/144 + (2497*t[15])/288 + t[17]/4 + (2*t[20])/3 + 
       (2*t[24])/3 - 2*t[25] + t[26] + (2*t[27])/3 + (8*t[28])/3 - 
       (37*t[29])/4 + (13*t[30])/3 + t[31] - (9*t[32])/4 - (13*t[33])/6 + 
       (15*t[34])/2 - t[35] + 2*t[36] + (7*t[37])/6 - t[38]/6 - (4*t[39])/3 - 
       (7*t[40])/6 - (5*t[41])/3 + (5*t[42])/3 + (7*t[43])/12 + 
       (281*t[44])/24 - 7*t[45] - t[46]/2 + (15*t[47])/2 - (1355*t[48])/48 + 
       (4*t[49])/3 + (1361*t[50])/48 + t[51]/8 - (1097*t[52])/48 - 
       (11*t[53])/3 - (653*t[54])/16 - t[55]/2 - (11*t[59])/3 - 
       (94*t[60])/3 - (767*t[61])/12 + (195*t[62])/16 + (1531*t[63])/48 - 
       (159*t[64])/8 + (751*t[65])/72 + (911*t[66])/72 - t[68]/2 - t[70]/3 + 
       t[71]/3 - 3*t[72] + 14*t[73] - (17*t[74])/6 - 44*t[75] - t[76]/6 - 
       (11*t[77])/6 + (43*t[78])/6 - 6*t[79] - t[80] - (43*t[81])/6 - 
       (7*t[82])/3 + 18*t[83] - (31*t[84])/24 + (277*t[85])/24 + 
       (71*t[86])/3 + (287*t[87])/24 + (311*t[88])/48 - (1193*t[89])/48 - 
       (7*t[95])/3 - (8*t[96])/3 - 4*t[97] + 4*t[98] - 2*t[99] + 74*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      (-3*t[1] - (10*t[2])/3 + (335*t[3])/24 - (13*t[4])/2 + (85*t[5])/8 - 
       (21*t[6])/2 - (413*t[7])/12 - (187*t[8])/12 - (283*t[9])/8 - 
       (37*t[10])/6 - (277*t[11])/12 + (109*t[12])/24 - (1853*t[13])/216 - 
       (2533*t[14])/72 - (262*t[15])/27 + (4*t[20])/3 + (4*t[24])/3 + 
       (4*t[27])/3 - t[28] + (5*t[29])/6 + 3*t[30] + 3*t[31] - (11*t[32])/6 + 
       (2*t[33])/3 + (10*t[34])/3 + 4*t[35] + (10*t[37])/3 - t[38]/3 - 
       (11*t[39])/3 + (2*t[40])/3 - t[41]/3 + t[42]/3 + (2*t[43])/3 + 
       t[44]/4 - 2*t[45] + 3*t[47] - 2*t[48] - (17*t[49])/6 - (5*t[50])/3 + 
       (5*t[51])/4 + (11*t[52])/3 + t[53]/6 - (65*t[54])/12 - (19*t[59])/6 - 
       (259*t[60])/12 - (541*t[61])/6 + (1093*t[62])/24 + (263*t[63])/24 + 
       (223*t[64])/4 + (191*t[65])/12 + (1799*t[66])/36 - (2*t[70])/3 + 
       (2*t[71])/3 - 2*t[72] - t[74] + t[75] - (13*t[76])/3 - (5*t[77])/3 + 
       (34*t[78])/3 + t[79] - 9*t[80] - (8*t[81])/3 + (5*t[82])/3 - 
       (8*t[83])/3 - 4*t[84] + (43*t[85])/6 - t[86] + (73*t[87])/6 + 
       (11*t[88])/4 + (37*t[89])/8 + 2*t[95] - (10*t[96])/3 - 3*t[97] - 
       16*t[98] + 10*t[99] + 74*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((3*t[1])/8 + 
       (1613*t[2])/144 - (4661*t[3])/96 - (109*t[4])/8 + (143*t[5])/24 + 
       (7721*t[6])/384 + (235*t[7])/48 + (3491*t[8])/96 + (3803*t[9])/192 + 
       (685*t[10])/48 - (4595*t[11])/128 - (109*t[12])/32 - 
       (6011*t[13])/288 + (17939*t[14])/1152 - (241*t[15])/3456 + t[18] - 
       t[20] + 2*t[22] - (8*t[23])/3 - (11*t[24])/6 + t[27]/2 - 
       (29*t[28])/3 - (193*t[29])/24 + (101*t[30])/24 + 4*t[31] + 
       (93*t[32])/16 - (61*t[33])/24 + (25*t[34])/6 + (20*t[35])/3 + 
       t[36]/12 + (13*t[37])/6 + (17*t[38])/12 - (7*t[39])/3 + 
       (109*t[40])/48 + (7*t[41])/8 - (7*t[42])/8 + (19*t[43])/24 - 
       (473*t[44])/48 + (47*t[45])/4 - (5*t[46])/8 - (38*t[47])/3 - 
       (1369*t[48])/384 - (353*t[49])/48 - (1789*t[50])/384 + (47*t[51])/16 + 
       (1117*t[52])/384 + (305*t[53])/48 + (12193*t[54])/384 - 
       (229*t[59])/72 + (3037*t[60])/64 + (1057*t[61])/192 - 
       (2681*t[62])/384 - (5237*t[63])/128 - (2579*t[64])/384 - 
       (1191*t[65])/64 + (6653*t[66])/192 - t[67]/4 - 2*t[69] + 
       (11*t[70])/3 - (11*t[71])/3 + t[72]/3 - (47*t[73])/6 + 
       (139*t[74])/12 - t[75]/2 - (79*t[76])/6 - t[77]/2 + 8*t[78] + 
       5*t[79] - 13*t[80] - (61*t[81])/6 + (71*t[82])/12 + (26*t[83])/3 + 
       (3461*t[84])/192 + (821*t[85])/192 - (31*t[86])/6 + (4547*t[87])/192 + 
       (7331*t[88])/384 + (3883*t[89])/128 - (8*t[95])/3 - (19*t[96])/6 + 
       t[97]/12 - 70*t[98] + 62*t[99] + 74*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]^2*(-t[1] + (7*t[2])/12 + 
       (87*t[3])/8 + (15*t[4])/2 - (247*t[5])/8 - (545*t[6])/16 + 
       (75*t[7])/4 - (393*t[8])/4 - 3*t[9] + 24*t[10] - (63*t[11])/16 - 
       (105*t[12])/8 - (443*t[13])/36 - (539*t[14])/48 - (133*t[15])/144 + 
       t[20] + 6*t[28] + (15*t[29])/2 + 25*t[30] + 4*t[31] - 2*t[32] + 
       4*t[34] + t[35] - 4*t[36] - t[37] - t[38]/2 + (3*t[40])/4 - t[41]/2 + 
       t[42]/2 + (3*t[43])/2 + (39*t[44])/4 - (9*t[45])/2 + 2*t[46] + 
       (5*t[47])/2 - (295*t[48])/16 + (17*t[49])/2 + (477*t[50])/16 - 
       (11*t[51])/8 - (493*t[52])/16 - (17*t[53])/2 - (401*t[54])/16 - 
       (13*t[59])/3 - (301*t[60])/4 - (253*t[61])/8 + (55*t[62])/4 + 
       (223*t[63])/2 - (147*t[64])/16 - (137*t[65])/24 + (1193*t[66])/24 - 
       (3*t[67])/4 + t[69] + 4*t[70] - 4*t[71] - 4*t[72] - 2*t[73] - 
       t[74]/2 - 3*t[75] + 10*t[76] - t[77] - (3*t[78])/2 - 15*t[79] + 
       t[80] + (33*t[81])/4 - (21*t[82])/4 + 37*t[83] - (197*t[84])/8 - 
       4*t[85] - 9*t[86] + 19*t[87] + 2*t[88] - (355*t[89])/16 + 4*t[95] + 
       2*t[96] - (3*t[97])/2 + 24*t[98] - 12*t[99] + 75*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2*((3*t[2])/8 + (151*t[3])/4 - 
       (35*t[4])/8 + (919*t[5])/16 - (321*t[6])/16 - 24*t[7] - (41*t[8])/2 - 
       (1219*t[9])/16 - (121*t[10])/16 + (41*t[11])/16 - (83*t[12])/8 + 
       (907*t[13])/72 - (2603*t[14])/96 + (2047*t[15])/288 + 2*t[22] - 
       6*t[29] + 11*t[30] + 2*t[31] - 7*t[32] - t[33]/2 - t[34] - 4*t[35] + 
       4*t[36] - t[37] + t[38]/2 + t[39] - (3*t[40])/2 + (11*t[43])/4 - 
       (17*t[44])/4 + (11*t[45])/2 - 2*t[46] - 12*t[47] - (91*t[48])/16 - 
       (47*t[49])/16 - (231*t[50])/16 + (7*t[51])/32 + (167*t[52])/16 + 
       (79*t[53])/16 - (303*t[54])/16 - t[59] - (93*t[60])/8 - (81*t[61])/2 + 
       (1305*t[62])/16 + (767*t[63])/16 - (137*t[64])/8 - (637*t[65])/24 + 
       (217*t[66])/24 - 2*t[70] + 2*t[71] - 2*t[72] - 2*t[73] - t[74] - 
       3*t[75] + (21*t[76])/2 - (9*t[78])/2 + 4*t[79] - 3*t[81] + 19*t[82] - 
       10*t[83] - (115*t[84])/8 - (123*t[85])/8 - 70*t[86] + (7*t[87])/8 - 
       (113*t[88])/16 - (69*t[89])/4 + 4*t[95] + 5*t[96] - t[97]/2 + 
       24*t[98] - 12*t[99] + 75*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*((9*t[1])/16 - (401*t[2])/48 - (63*t[3])/8 - 
       (89*t[4])/48 - (2165*t[5])/96 - (271*t[6])/64 + (447*t[7])/16 - 
       (1127*t[8])/48 + (383*t[9])/24 - (215*t[10])/96 - (4507*t[11])/192 - 
       (33*t[12])/4 - (1259*t[13])/96 - (2467*t[14])/288 + (661*t[15])/432 - 
       t[19]/2 - (5*t[20])/3 + t[21]/2 - t[22]/4 - t[23]/4 - t[25]/4 + 
       t[26]/4 + t[27]/4 - (43*t[28])/12 + (51*t[29])/16 + (5*t[30])/6 - 
       (23*t[31])/12 + (151*t[32])/12 - (103*t[33])/12 - (185*t[34])/24 - 
       (17*t[35])/6 + t[37]/4 + (15*t[38])/8 - (11*t[39])/4 + (11*t[40])/2 - 
       (7*t[41])/16 + (5*t[42])/16 + t[43]/8 + (383*t[44])/48 + 7*t[45] + 
       t[46]/4 - (23*t[47])/4 - (1343*t[48])/192 - (577*t[49])/96 + 
       (3233*t[50])/192 + (721*t[51])/192 - (4265*t[52])/192 + 
       (385*t[53])/96 + (799*t[54])/192 + (5*t[59])/12 - (1433*t[60])/96 - 
       (1087*t[61])/96 + (3193*t[62])/192 + (717*t[63])/64 - 
       (11491*t[64])/192 + (3787*t[65])/96 + (15187*t[66])/288 - 
       (3*t[70])/2 + (3*t[71])/2 - (41*t[72])/12 + (25*t[73])/12 - 
       (67*t[74])/12 + t[75]/4 - (53*t[76])/4 - t[77]/2 + (37*t[78])/4 + 
       (5*t[79])/12 - 6*t[80] - (95*t[81])/24 + (59*t[82])/24 - 
       (21*t[83])/2 + (1381*t[84])/96 + (213*t[85])/32 - (107*t[86])/12 + 
       (1927*t[87])/96 + (869*t[88])/64 + (2765*t[89])/192 - (23*t[95])/6 - 
       (7*t[96])/2 - (11*t[97])/4 - 75*t[98] + 72*t[99] + 76*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      (-t[1]/2 - (3*t[2])/2 - (63*t[3])/2 - 26*t[4] - (21*t[5])/2 + 
       (335*t[6])/8 - (31*t[7])/2 + 58*t[8] + (61*t[9])/4 + (17*t[10])/2 - 
       (415*t[11])/8 - (7*t[12])/2 - (637*t[13])/36 + (263*t[14])/24 + 
       (763*t[15])/72 + 2*t[28] - 4*t[29] - 8*t[30] + 2*t[31] + 7*t[32] + 
       6*t[33] + 3*t[34] + 2*t[35] - 2*t[36] - 2*t[38] - 3*t[39] - 5*t[40] - 
       t[41]/2 + t[42]/2 - t[43] - 2*t[44] - 6*t[45] + t[46] + 4*t[47] + 
       (165*t[48])/8 - 2*t[49] + (33*t[50])/8 + (3*t[51])/4 + (71*t[52])/8 - 
       2*t[53] + (211*t[54])/8 + 3*t[59] + (19*t[60])/4 - (155*t[61])/4 + 
       (171*t[62])/8 - (59*t[63])/8 - (227*t[64])/8 + (223*t[65])/4 + 
       (913*t[66])/12 + 4*t[70] - 4*t[71] + 2*t[72] + 4*t[74] + 4*t[75] - 
       8*t[76] + 2*t[77] + 11*t[78] - 8*t[79] + 6*t[80] - 5*t[81] - 2*t[82] + 
       8*t[83] + (23*t[84])/4 + (67*t[85])/4 - (27*t[87])/4 + (125*t[88])/8 + 
       (149*t[89])/8 - 4*t[95] - 12*t[96] - 24*t[98] + 78*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-21*t[1])/2 - (407*t[2])/12 + (3049*t[3])/24 - (27*t[4])/4 + 
       (577*t[5])/8 - (1275*t[6])/16 + (185*t[7])/12 - (677*t[8])/3 - 
       70*t[9] - (1043*t[10])/24 + (2737*t[11])/48 + (269*t[12])/6 + 
       (4073*t[13])/216 - (3833*t[14])/72 - (4073*t[15])/432 + (8*t[20])/3 - 
       2*t[22] + (14*t[24])/3 - (16*t[27])/3 + (43*t[29])/6 + 6*t[30] + 
       10*t[31] - (86*t[32])/3 - (23*t[33])/3 + (47*t[34])/3 + 12*t[36] + 
       (29*t[37])/3 - (8*t[38])/3 + (17*t[39])/3 - (43*t[40])/6 + t[41]/3 - 
       t[42]/3 + (5*t[43])/6 + (15*t[44])/4 - 38*t[45] - 3*t[46] + 37*t[47] - 
       (745*t[48])/16 + (467*t[49])/24 - (127*t[50])/48 - (189*t[51])/16 + 
       (367*t[52])/48 - (307*t[53])/24 - (4093*t[54])/48 + t[59]/6 - 
       (4777*t[60])/24 - (3149*t[61])/24 + (997*t[62])/48 + 
       (10427*t[63])/48 + (2385*t[64])/16 - (1505*t[65])/24 + 
       (2411*t[66])/72 - (34*t[70])/3 + (34*t[71])/3 - 14*t[72] - 12*t[73] - 
       13*t[74] + 12*t[75] + (112*t[76])/3 - (19*t[77])/3 - (88*t[78])/3 - 
       24*t[79] + 18*t[80] + (25*t[81])/6 + (65*t[82])/6 + (26*t[83])/3 - 
       (757*t[84])/8 - (433*t[85])/24 + 10*t[86] - (439*t[87])/24 - 
       (1005*t[88])/16 - (1469*t[89])/16 + 26*t[95] + (70*t[96])/3 + 
       3*t[97] + 256*t[98] - 252*t[99] + 78*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-15*t[2])/2 + (455*t[3])/8 + 10*t[4] + (200*t[5])/3 + (65*t[6])/6 - 
       (575*t[7])/4 + (845*t[8])/12 - (1555*t[9])/12 + (5*t[10])/6 - 
       (50*t[11])/3 - (35*t[12])/12 + (145*t[13])/8 - (1525*t[14])/12 - 
       (3445*t[15])/432 + (110*t[28])/3 + (65*t[29])/6 + (125*t[30])/6 + 
       (35*t[32])/3 + (5*t[33])/2 - (35*t[34])/3 - (25*t[44])/6 + 
       (655*t[48])/12 + 5*t[49] - (185*t[50])/4 - (5*t[51])/2 + 
       (185*t[52])/4 - 5*t[53] + (5*t[54])/6 - (5*t[59])/6 - (365*t[60])/3 - 
       (355*t[61])/3 + (335*t[62])/3 - (5*t[63])/6 + (695*t[64])/4 + 
       (3695*t[65])/36 + (345*t[66])/4 + 10*t[73] - (40*t[74])/3 + 50*t[75] - 
       10*t[79] + (20*t[81])/3 - (20*t[82])/3 - (200*t[83])/3 - 
       (545*t[84])/12 - (425*t[85])/12 - (70*t[86])/3 + (305*t[87])/4 + 
       (655*t[88])/24 + (40*t[89])/3 + (80*t[95])/3 + 80*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-39*t[2])/2 - (53*t[3])/2 - (33*t[4])/4 - (263*t[5])/8 - 
       (109*t[6])/4 + (65*t[7])/4 - (225*t[8])/4 + (295*t[9])/8 + 
       (321*t[10])/8 - (79*t[11])/4 - (37*t[12])/4 - (1775*t[13])/72 + 
       (295*t[14])/48 - (2491*t[15])/144 - 4*t[20] + 4*t[22] + 8*t[29] + 
       2*t[31] + (17*t[32])/2 - 8*t[33] + 4*t[34] + 6*t[35] - 2*t[36] + 
       4*t[37] + 2*t[41] - 2*t[42] + t[43] - 6*t[44] + t[46] + 4*t[47] - 
       8*t[48] + (21*t[49])/8 + (33*t[50])/2 - (9*t[51])/16 - (33*t[52])/2 - 
       (21*t[53])/8 - (25*t[54])/4 - 2*t[59] - (9*t[60])/4 - (187*t[61])/4 - 
       (305*t[62])/8 + (69*t[63])/8 + (565*t[64])/8 - (283*t[65])/12 + 
       t[66]/4 - 4*t[69] - 2*t[72] + 4*t[75] + 3*t[76] - 4*t[79] - 4*t[80] + 
       4*t[81] - 6*t[82] + 12*t[83] - t[84]/4 + (29*t[85])/4 + 20*t[86] - 
       (13*t[87])/4 - (13*t[88])/8 + (9*t[89])/8 - 24*t[99] + 81*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-21*t[2])/2 - (7*t[3])/2 - (49*t[4])/2 - 3*t[5] - (17*t[6])/2 - 
       7*t[7] - (63*t[8])/2 + 3*t[9] + (21*t[10])/4 - (69*t[11])/2 + 
       (11*t[12])/4 - (331*t[13])/18 - (229*t[14])/24 - (215*t[15])/18 + 
       t[20] - 2*t[22] + 7*t[29] - 8*t[30] + t[31] + (3*t[32])/2 + 2*t[36] + 
       2*t[37] - (3*t[40])/2 + t[41] - t[42] - (3*t[44])/2 - t[46] + 
       2*t[47] + 4*t[48] - (31*t[49])/4 + (25*t[51])/8 + (31*t[53])/4 + 
       (15*t[54])/2 + (35*t[60])/2 - 46*t[61] + 7*t[62] - 26*t[63] + 
       (167*t[64])/4 - (83*t[65])/6 + (61*t[66])/2 + t[69] - t[72] + 
       2*t[75] + 3*t[76] + 4*t[79] - 2*t[80] - t[81] + 7*t[82] - t[83]/2 + 
       (11*t[84])/2 + 6*t[85] - 10*t[86] - (19*t[87])/2 - (19*t[88])/4 + 
       (15*t[89])/4 - 24*t[99] + 81*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*(3*t[1] - (15*t[2])/2 + 
       (15*t[3])/2 + 24*t[4] - (83*t[5])/4 - (43*t[6])/4 - (15*t[7])/2 - 
       (13*t[8])/2 + (19*t[9])/4 + (7*t[10])/2 - (55*t[11])/4 - 
       (85*t[12])/4 + 4*t[13] - (65*t[14])/2 - (1297*t[15])/72 + 4*t[28] + 
       2*t[29] + 2*t[30] - 6*t[31] + 4*t[32] - 16*t[34] - 12*t[35] + 
       6*t[38] + 9*t[40] - 7*t[44] + 21*t[45] - 15*t[47] - (13*t[48])/4 - 
       12*t[49] - (21*t[50])/4 + 9*t[51] - (51*t[52])/4 + 12*t[53] + 
       (41*t[54])/4 - t[59]/2 + (97*t[60])/2 - (19*t[61])/2 + t[62]/4 - 
       (497*t[63])/4 - (135*t[64])/4 - (19*t[65])/6 - (45*t[66])/2 - 
       6*t[72] + 4*t[74] - 21*t[76] + 12*t[78] - 18*t[80] - 5*t[81] - t[82] - 
       16*t[83] + (55*t[84])/2 + t[85]/2 - 8*t[86] + (51*t[87])/2 + 
       (67*t[88])/4 + (209*t[89])/4 - 8*t[95] - 3*t[97] - 144*t[98] + 
       144*t[99] + 84*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - w]*((17*t[1])/2 + 11*t[2] + (131*t[3])/2 - (15*t[4])/4 + 
       (365*t[5])/8 - (1253*t[6])/8 + 192*t[7] - 256*t[8] + (563*t[9])/8 - 
       (425*t[10])/8 + (1089*t[11])/8 + (187*t[12])/4 + (5431*t[13])/72 + 
       (205*t[14])/16 + (145*t[15])/144 + 2*t[17] + 4*t[18] - 8*t[20] + 
       4*t[21] - 4*t[23] - 4*t[24] - 12*t[25] + 4*t[26] + 3*t[27] - t[29] + 
       10*t[30] - (69*t[32])/2 - 4*t[33] + 11*t[34] + 14*t[36] + 5*t[37] + 
       6*t[38] + (31*t[39])/2 - 2*t[40] + (27*t[41])/2 - (23*t[42])/2 - 
       (17*t[43])/4 + 14*t[44] - 52*t[45] - 4*t[46] + (177*t[47])/2 - 
       (297*t[48])/8 + (105*t[49])/8 + (323*t[50])/8 - (15*t[51])/16 - 
       (331*t[52])/8 + (95*t[53])/8 - (781*t[54])/8 - 2*t[55] + t[59] - 
       (703*t[60])/4 - (53*t[61])/4 - (755*t[62])/8 + (243*t[63])/8 + 
       (339*t[64])/8 + (637*t[65])/4 - (311*t[66])/4 - 2*t[67] - 8*t[68] - 
       20*t[70] + 20*t[71] + 9*t[72] - 12*t[73] - 22*t[74] + 12*t[75] + 
       51*t[76] - 5*t[77] - 28*t[78] - 24*t[79] + 48*t[80] + 12*t[81] + 
       (11*t[82])/2 + 15*t[83] - (201*t[84])/4 - (107*t[85])/4 + 62*t[86] - 
       (291*t[87])/4 - (759*t[88])/8 + (15*t[89])/8 - 2*t[92] + 2*t[94] + 
       28*t[95] + 33*t[96] + 6*t[97] + 480*t[98] - 564*t[99] + 90*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((15*t[1])/2 - (55*t[2])/2 + (631*t[3])/4 + (11*t[4])/4 + 
       (309*t[5])/4 - (445*t[6])/4 - (127*t[7])/4 - (633*t[8])/4 - 97*t[9] - 
       (589*t[10])/8 + 124*t[11] + (63*t[12])/8 + (1445*t[13])/24 - 
       (1389*t[14])/16 - (1697*t[15])/36 + 2*t[17] + 8*t[18] + 4*t[21] - 
       4*t[23] + 8*t[24] - 8*t[25] + 4*t[26] - 10*t[27] - 6*t[28] + 
       25*t[30] + 4*t[31] - (77*t[32])/2 + 10*t[33] + 26*t[34] + 12*t[35] - 
       10*t[36] + t[37] + 3*t[38] + (35*t[39])/2 - (45*t[40])/2 + 2*t[41] - 
       (17*t[43])/4 - 6*t[44] - (95*t[45])/2 + 2*t[46] + 46*t[47] - 
       (109*t[48])/2 + (443*t[49])/8 - 9*t[50] - (369*t[51])/16 + 32*t[52] - 
       (227*t[53])/8 - (465*t[54])/4 - 14*t[59] - 186*t[60] - (439*t[61])/2 + 
       (197*t[62])/8 + (603*t[63])/8 + (553*t[64])/2 - (467*t[65])/4 - 
       (1187*t[66])/6 - 4*t[69] - 18*t[70] + 18*t[71] + 8*t[72] - 12*t[73] - 
       12*t[74] + 12*t[75] + (105*t[76])/2 - 17*t[77] - 72*t[78] + 59*t[80] + 
       (13*t[81])/2 + 9*t[82] + 16*t[83] - (415*t[84])/4 - (57*t[85])/4 + 
       58*t[86] - (357*t[87])/4 - (841*t[88])/8 - 90*t[89] + 2*t[92] - 
       2*t[94] + 28*t[95] + 36*t[96] + 7*t[97] + 480*t[98] - 564*t[99] + 
       90*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*(-t[1]/4 + (73*t[2])/6 - (121*t[3])/3 - 
       (97*t[4])/6 + (155*t[5])/24 + (1739*t[6])/48 - (73*t[7])/6 + 
       (947*t[8])/12 - (23*t[9])/6 + (16*t[10])/3 - (2875*t[11])/48 - 
       (103*t[12])/8 - (6541*t[13])/216 + (1919*t[14])/144 + 
       (1687*t[15])/216 - 2*t[18] + 2*t[19] - 4*t[20] - 2*t[21] + 3*t[22] + 
       t[23] + (2*t[24])/3 + 2*t[25] - 2*t[26] + t[27]/3 - (2*t[29])/3 - 
       (23*t[30])/3 - 2*t[31] + (77*t[32])/6 + (8*t[33])/3 - t[34]/2 + 
       (7*t[37])/3 + (2*t[38])/3 - (17*t[39])/3 + (8*t[40])/3 - t[41]/12 + 
       (7*t[42])/12 - t[43]/3 - (20*t[44])/3 + (43*t[45])/6 - 2*t[46] - 
       (19*t[47])/2 + (463*t[48])/16 + 2*t[49] - (93*t[50])/16 + 
       (19*t[51])/12 + (383*t[52])/48 - (14*t[53])/3 + (609*t[54])/16 - 
       (17*t[59])/12 + (631*t[60])/24 - (1051*t[61])/24 + (715*t[62])/48 - 
       (2819*t[63])/48 - (1091*t[64])/48 + (1943*t[65])/72 + 
       (4873*t[66])/72 + 2*t[69] + (16*t[70])/3 - (16*t[71])/3 + 
       (10*t[72])/3 + 3*t[74] - (41*t[76])/3 + (8*t[77])/3 + (83*t[78])/6 - 
       (35*t[80])/3 - 9*t[81] + (10*t[82])/3 - (8*t[83])/3 + (467*t[84])/24 + 
       (125*t[85])/24 + 6*t[86] + (487*t[87])/24 + (421*t[88])/16 + 
       (1193*t[89])/48 - 6*t[95] - (22*t[96])/3 - t[97]/2 - 76*t[98] + 
       44*t[99] + 91*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*
      ((-159*t[2])/2 - 19*t[3] + 21*t[4] - (159*t[5])/4 + (15*t[6])/2 - 
       128*t[7] + 157*t[8] - (331*t[9])/4 + (61*t[10])/2 - 31*t[11] - 
       (217*t[12])/4 - (121*t[13])/9 - (415*t[14])/6 + (169*t[15])/8 + 
       t[17] + 20*t[20] + 24*t[24] - 14*t[28] + 10*t[32] + 4*t[33] - 
       4*t[39] - 8*t[43] - 16*t[44] + 56*t[45] - 64*t[47] + (77*t[48])/2 + 
       (29*t[49])/2 - (31*t[50])/2 - (29*t[51])/4 + (31*t[52])/2 - 
       (29*t[53])/2 + (29*t[54])/2 + 2*t[55] + 12*t[59] - (211*t[60])/2 - 
       56*t[61] + (159*t[62])/4 + (941*t[63])/4 + 137*t[64] - 18*t[65] - 
       (8*t[66])/3 + 2*t[68] - 8*t[72] - 8*t[73] - 4*t[74] + 44*t[75] + 
       8*t[76] - 24*t[77] - 8*t[78] + 20*t[79] - 32*t[80] - 5*t[81] + 
       9*t[82] + 2*t[83] - 17*t[84] - (65*t[85])/2 - 56*t[86] + 
       (125*t[87])/2 + (125*t[88])/4 - 25*t[89] - t[91]/3 + 2*t[93] - 
       240*t[98] + 288*t[99] + 92*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*((43*t[2])/2 + 77*t[3] - 59*t[4] + 
       (105*t[5])/4 - (35*t[6])/2 + 44*t[7] - 13*t[8] - (127*t[9])/4 - 
       (9*t[10])/2 + 3*t[11] - (17*t[12])/4 - (175*t[13])/9 - (143*t[14])/3 + 
       (299*t[15])/24 - 15*t[17] + 20*t[20] + 4*t[24] + 24*t[28] - 6*t[33] - 
       16*t[37] - 4*t[39] + 14*t[41] - 14*t[42] + 8*t[43] + (47*t[48])/2 - 
       (45*t[49])/2 + (15*t[50])/2 + (45*t[51])/4 - (15*t[52])/2 + 
       (45*t[53])/2 + (27*t[54])/2 + 2*t[55] + 10*t[59] - (159*t[60])/2 + 
       20*t[61] + (27*t[62])/4 - (259*t[63])/4 + 88*t[64] + (623*t[65])/3 + 
       111*t[66] + 26*t[68] + 12*t[72] - 8*t[73] + 44*t[75] - 48*t[76] + 
       56*t[78] - 8*t[79] + 64*t[80] + 25*t[81] - 5*t[82] + 6*t[83] - 
       4*t[84] - (109*t[85])/2 + 44*t[86] + (221*t[87])/2 + (221*t[88])/4 + 
       13*t[89] + t[91]/3 + 2*t[93] - 240*t[98] + 288*t[99] + 92*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((3*t[1])/8 - (125*t[2])/6 + (979*t[3])/24 - (1247*t[4])/96 + 
       (4169*t[5])/192 - (277*t[6])/12 + (527*t[7])/48 - 89*t[8] - 
       (3727*t[9])/192 - (1109*t[10])/192 + (77*t[11])/96 + (1735*t[12])/96 - 
       (111*t[13])/32 - (7201*t[14])/1152 + (715*t[15])/3456 - (5*t[17])/8 - 
       (3*t[19])/2 - (14*t[20])/3 + (3*t[21])/2 + 2*t[22] - (3*t[23])/2 + 
       t[24]/12 - (35*t[27])/12 - (37*t[28])/6 - (83*t[29])/24 - 
       (5*t[30])/12 + (11*t[31])/3 - (31*t[32])/3 + (11*t[33])/12 - 
       (3*t[34])/2 + (17*t[35])/6 - (19*t[36])/6 - 2*t[37] - t[38] + 
       t[39]/2 - (43*t[40])/24 + (19*t[41])/24 - (19*t[42])/24 + 
       (101*t[43])/96 + (155*t[44])/48 - (583*t[45])/24 - (19*t[46])/8 + 
       (105*t[47])/4 - (83*t[48])/8 + (227*t[49])/64 + t[50]/24 - 
       (409*t[51])/384 + (139*t[52])/24 + (7*t[53])/192 - (903*t[54])/32 - 
       (3*t[55])/8 + t[56]/4 - t[57]/2 + (191*t[59])/48 - (5005*t[60])/96 - 
       (1555*t[61])/32 + (6535*t[62])/192 + (15277*t[63])/192 - 
       (1571*t[64])/64 + (739*t[65])/288 + (17941*t[66])/288 + (9*t[68])/4 - 
       t[69]/2 - (3*t[70])/2 + (3*t[71])/2 - (14*t[72])/3 - 3*t[73] - 
       (29*t[74])/6 - 2*t[75] + (97*t[76])/12 + (67*t[77])/12 - 
       (533*t[78])/24 + (17*t[79])/2 + (86*t[80])/3 - (83*t[81])/12 + 
       (173*t[82])/24 - (15*t[83])/4 - (993*t[84])/32 + (169*t[85])/32 - 
       (223*t[86])/8 - (1013*t[87])/32 - (4495*t[88])/192 - 
       (3733*t[89])/192 + t[91]/24 - t[93]/2 + (25*t[95])/3 + (11*t[96])/4 + 
       (47*t[97])/24 + 146*t[98] - 182*t[99] + (191*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-5*t[1])/2 + (7*t[2])/2 + 4*t[3] + 6*t[4] + (93*t[5])/4 - 
       (119*t[7])/2 + (11*t[8])/2 - (215*t[9])/4 + 3*t[10] - (11*t[11])/2 - 
       (51*t[12])/4 + (61*t[13])/9 - (109*t[14])/4 - (179*t[15])/72 + 
       2*t[20] + 2*t[24] + 2*t[28] + 2*t[29] + 4*t[30] + 2*t[31] + 2*t[33] + 
       t[34] - 2*t[35] - 2*t[36] + 2*t[37] - 5*t[39] + t[40] - t[41]/2 + 
       t[42]/2 + t[43] - 7*t[44] + t[45] + t[46] - t[47] + 3*t[48] + 
       (11*t[49])/2 - 7*t[50] - (5*t[51])/2 + 10*t[52] - (19*t[53])/2 - 
       12*t[54] - (5*t[59])/2 - (3*t[60])/2 - (165*t[61])/2 + (89*t[62])/4 - 
       (153*t[63])/4 + (173*t[64])/4 - 12*t[65] - (97*t[66])/6 - 8*t[72] + 
       2*t[74] + 4*t[75] - 5*t[76] + 2*t[77] + 17*t[78] - 8*t[79] - 4*t[80] + 
       t[81] - 10*t[82] - 2*t[83] - (7*t[84])/2 + 11*t[85] + 9*t[87] + 
       (11*t[88])/2 + (51*t[89])/4 - 4*t[96] - 3*t[97] - 24*t[98] + 
       24*t[99] + 96*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-6*t[1] + (443*t[2])/8 - (1623*t[3])/16 - 
       (435*t[4])/8 - 27*t[5] + (1029*t[6])/16 - (231*t[7])/8 + 
       (1331*t[8])/8 + (279*t[9])/4 - (199*t[10])/16 - (1505*t[11])/16 - 
       (213*t[12])/16 - (9019*t[13])/144 + (7925*t[14])/96 + 
       (3503*t[15])/288 - 2*t[24] + 2*t[27] - t[28] + (11*t[29])/4 + 
       (11*t[30])/2 - 6*t[31] + (81*t[32])/4 - 18*t[33] + (45*t[34])/2 + 
       3*t[35] + 3*t[36] + 5*t[37] - (17*t[38])/4 - 7*t[39] + (19*t[40])/4 - 
       (5*t[41])/4 + (5*t[42])/4 + t[43] - (321*t[44])/8 + 10*t[45] - 
       (27*t[47])/2 + (301*t[48])/16 - (125*t[49])/16 + (77*t[50])/16 + 
       (9*t[51])/32 + (35*t[52])/16 - (83*t[53])/16 + (1091*t[54])/16 - 
       (71*t[59])/8 + (175*t[60])/4 - (31*t[61])/4 + (309*t[62])/4 + 
       (5*t[63])/4 + 16*t[64] + (697*t[65])/8 + (817*t[66])/6 + 2*t[70] - 
       2*t[71] + 2*t[72] - 40*t[73] + (3*t[74])/2 + 55*t[75] - 
       (133*t[76])/4 - (25*t[77])/2 + (197*t[78])/4 - 5*t[79] - 19*t[80] + 
       (43*t[81])/4 - (35*t[82])/4 + 35*t[83] + (341*t[84])/8 + 
       (77*t[85])/4 + 37*t[86] + (121*t[87])/2 + (143*t[88])/4 + 
       (641*t[89])/16 - 9*t[95] - (43*t[96])/2 - (27*t[97])/4 - 204*t[98] + 
       204*t[99] + 96*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*((11*t[1])/2 - (217*t[2])/24 - (5*t[3])/3 - 
       (17*t[4])/24 - (47*t[5])/6 - (221*t[6])/48 + (217*t[7])/24 + 
       (293*t[8])/24 + (413*t[9])/24 - (745*t[10])/48 + (277*t[11])/48 - 
       (63*t[12])/16 + (17831*t[13])/432 - (7033*t[14])/288 - 
       (4699*t[15])/216 - (3*t[17])/4 + 4*t[18] + 3*t[20] + 6*t[21] + t[22] - 
       4*t[23] + (19*t[24])/3 - (3*t[25])/2 - (5*t[26])/2 + (13*t[27])/6 + 
       2*t[28] - (10*t[29])/3 + (11*t[30])/3 + t[31] + (11*t[32])/3 + 
       (4*t[33])/3 - 3*t[34] - 4*t[35] + 4*t[36] + (5*t[37])/3 + 
       (53*t[38])/6 - (16*t[39])/3 + (29*t[40])/6 + (11*t[41])/6 - t[42]/3 - 
       (259*t[43])/24 + (37*t[44])/6 + (31*t[45])/12 + (5*t[46])/4 + 
       (27*t[47])/2 - (95*t[48])/16 - (163*t[49])/16 - (67*t[50])/16 + 
       (763*t[51])/96 - (167*t[52])/48 + (425*t[53])/48 - (19*t[54])/16 - 
       (37*t[59])/3 + (1193*t[60])/24 - (1595*t[61])/24 - (409*t[62])/48 - 
       (7351*t[63])/48 + (1589*t[64])/48 + (5971*t[65])/72 - 
       (4759*t[66])/72 - t[68]/2 - 3*t[69] - t[70]/3 + t[71]/3 - 
       (16*t[72])/3 + 4*t[73] - 5*t[74] - 4*t[75] + (29*t[76])/3 + 
       (13*t[77])/3 - (31*t[78])/3 - (19*t[80])/3 + (9*t[81])/2 - 
       (17*t[82])/6 - (4*t[83])/3 + (193*t[84])/24 + (571*t[85])/24 + 
       45*t[86] + (317*t[87])/24 + (159*t[88])/16 + (3397*t[89])/48 + 
       t[90]/2 + t[92]/2 - t[94]/2 - 2*t[95] - (8*t[96])/3 - 2*t[97] + 
       100*t[98] - 160*t[99] + 97*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((41*t[1])/12 - 
       (317*t[2])/24 + (2773*t[3])/96 - (23*t[4])/4 + (457*t[5])/48 - 
       (901*t[6])/96 - (201*t[7])/16 - (1385*t[8])/48 - (337*t[9])/16 - 
       (325*t[10])/24 - (3631*t[11])/96 - (233*t[12])/8 - (8359*t[13])/864 - 
       (23333*t[14])/288 - (31877*t[15])/1728 + t[17]/4 - 2*t[19] - 
       (52*t[20])/3 + 6*t[21] - 6*t[23] + (14*t[24])/3 - t[25] + t[26] + 
       (11*t[27])/3 - 2*t[28] + (77*t[29])/8 + (29*t[30])/3 - (7*t[31])/3 - 
       (9*t[32])/2 + (17*t[33])/4 - (295*t[34])/12 - (20*t[35])/3 - 2*t[36] - 
       (5*t[37])/6 + (19*t[38])/6 - (4*t[39])/3 + (59*t[40])/6 + 
       (4*t[41])/3 - t[42]/3 + (25*t[43])/12 + (73*t[44])/4 + (73*t[45])/6 + 
       2*t[46] - (17*t[47])/6 + (441*t[48])/32 - (51*t[49])/8 - 
       (1045*t[50])/96 + (163*t[51])/48 - (59*t[52])/96 + (121*t[53])/24 - 
       (23*t[54])/32 + 4*t[57] + (5*t[59])/8 - (2773*t[60])/48 - 
       (4991*t[61])/48 + (4837*t[62])/96 - (1843*t[63])/32 + 
       (2385*t[64])/32 + (280*t[65])/9 + (2327*t[66])/36 - t[68] - 
       (7*t[70])/3 + (7*t[71])/3 - (43*t[72])/3 + (53*t[73])/3 + 
       (43*t[74])/6 - 26*t[75] + t[76]/6 + t[77]/6 - (121*t[78])/6 + 
       (61*t[79])/3 + 10*t[80] - (5*t[81])/6 + t[82] - 16*t[83] - 
       (67*t[84])/12 + (233*t[85])/12 + (73*t[86])/3 + (323*t[87])/8 + 
       (907*t[88])/48 + (4699*t[89])/96 - t[90]/2 - 2*t[93] - t[95]/3 - 
       (5*t[96])/3 - (19*t[97])/6 + 20*t[98] - 66*t[99] + 100*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-11*t[1])/6 + (41*t[2])/12 + (3641*t[3])/48 - (415*t[4])/4 + 
       (6971*t[5])/32 + (95*t[6])/16 - (7349*t[7])/16 + (9695*t[8])/48 - 
       (48817*t[9])/96 + (585*t[10])/4 - (95*t[11])/4 - (441*t[12])/32 + 
       (3977*t[13])/72 - (1059*t[14])/8 + (11369*t[15])/192 + (7*t[18])/3 + 
       3*t[19] - (3*t[20])/2 - 3*t[21] + (5*t[22])/3 + t[23] + (4*t[26])/3 + 
       24*t[28] - 25*t[29] - (9*t[30])/2 + (15*t[31])/2 - (721*t[32])/12 + 
       (106*t[33])/3 + (95*t[34])/6 - 12*t[35] + 6*t[36] - 11*t[37] - 
       (21*t[38])/4 + (35*t[39])/12 - (52*t[40])/3 + t[41]/6 + t[42]/6 + 
       (247*t[43])/12 - (97*t[44])/2 + 84*t[45] - (2*t[46])/3 - 185*t[47] + 
       (2863*t[48])/48 - (349*t[49])/48 - (2303*t[50])/16 - (275*t[51])/96 + 
       (7925*t[52])/48 + (109*t[53])/48 + (1435*t[54])/48 + (4*t[58])/3 - 
       (19*t[59])/12 - (1283*t[60])/6 - 203*t[61] + (1513*t[62])/8 - 
       (2269*t[63])/24 + (1129*t[64])/3 + (891*t[65])/8 - (8909*t[66])/72 - 
       6*t[68] + (3*t[69])/2 - 5*t[70] + 5*t[71] - (3*t[72])/2 + 21*t[73] - 
       (14*t[74])/3 + 3*t[75] + (32*t[76])/3 + (25*t[77])/6 - (68*t[78])/3 - 
       6*t[79] - 138*t[80] + (31*t[81])/3 + (25*t[82])/3 + (21*t[83])/4 - 
       53*t[84] - (85*t[85])/6 - (581*t[86])/3 + (227*t[87])/6 + 
       (89*t[88])/12 + (161*t[89])/24 + 16*t[95] - (7*t[96])/2 - 
       (22*t[97])/3 + 116*t[98] - 98*t[99] + 101*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      ((107*t[1])/12 - (745*t[2])/24 + (687*t[3])/8 - (1763*t[4])/48 - 
       (509*t[5])/8 - (511*t[6])/48 + (143*t[7])/12 + (1627*t[8])/12 - 
       (1835*t[9])/24 - (2815*t[10])/32 - (273*t[11])/16 + (3859*t[12])/96 + 
       (3547*t[13])/216 - (120403*t[14])/576 + (11357*t[15])/288 - 6*t[18] + 
       2*t[19] - 9*t[20] + 3*t[22] - 6*t[25] + (8*t[26])/3 + 6*t[28] + 
       75*t[29] + 34*t[30] + 6*t[31] + (75*t[32])/4 - 26*t[33] - 
       (121*t[34])/3 + 12*t[35] - (23*t[36])/3 - 9*t[37] + (61*t[38])/6 + 
       (41*t[39])/4 + (4*t[40])/3 + (8*t[41])/3 - (8*t[42])/3 + (7*t[43])/2 - 
       t[44]/4 + (25*t[45])/4 + (7*t[46])/6 - (37*t[47])/12 + 
       (779*t[48])/16 - (2263*t[49])/96 + (841*t[50])/48 + (7087*t[51])/192 - 
       (1313*t[52])/48 + (3991*t[53])/96 + (253*t[54])/8 + (4*t[58])/3 - 
       (31*t[59])/8 - (23405*t[60])/48 + (199*t[61])/48 + (23075*t[62])/96 + 
       (11621*t[63])/96 + (15685*t[64])/32 + (50723*t[65])/144 + 
       (22619*t[66])/48 + 6*t[68] - 2*t[70] + 2*t[71] + 6*t[72] + 36*t[73] - 
       (73*t[74])/3 + 12*t[75] - (47*t[76])/4 + (31*t[77])/3 - (95*t[78])/6 + 
       12*t[79] - (55*t[80])/6 - (433*t[81])/12 + (185*t[82])/12 - 42*t[83] - 
       (5137*t[84])/48 - (4513*t[85])/48 - 19*t[86] + (6739*t[87])/48 + 
       (5587*t[88])/96 + (9925*t[89])/96 + (56*t[95])/3 + 20*t[96] + 
       (41*t[97])/12 + 116*t[98] - 98*t[99] + 101*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-9*t[1])/4 + (281*t[2])/8 + (747*t[3])/16 - (199*t[4])/8 + 
       (885*t[5])/16 - (537*t[6])/32 - (31*t[7])/8 - (147*t[8])/2 + 
       (251*t[9])/8 - (313*t[10])/16 + (609*t[11])/32 + (25*t[12])/4 + 
       (4015*t[13])/144 + (161*t[14])/24 - (217*t[15])/288 + 5*t[18] + 
       2*t[20] - 3*t[22] - 4*t[24] - t[27] + 24*t[28] + (41*t[29])/4 - 
       15*t[30] - 17*t[32] + (17*t[33])/2 + (13*t[34])/2 - 7*t[35] + 
       9*t[36] + t[37]/2 - (7*t[38])/2 + (7*t[39])/2 - (17*t[40])/4 - 
       2*t[41] + 2*t[42] + (13*t[43])/4 - (45*t[44])/8 - (33*t[45])/2 - 
       (3*t[46])/2 + 18*t[47] + (181*t[48])/32 + (53*t[49])/16 - 
       (111*t[50])/32 - (73*t[51])/32 + (351*t[52])/32 - (21*t[53])/16 - 
       (557*t[54])/32 - (23*t[59])/4 - (521*t[60])/16 - (609*t[61])/16 - 
       (363*t[62])/32 - (1837*t[63])/32 + (583*t[64])/32 + (1457*t[65])/48 - 
       (3569*t[66])/48 - 2*t[67] - 3*t[69] + 11*t[70] - 11*t[71] + 3*t[72] + 
       34*t[73] + (35*t[74])/2 - 58*t[75] + 10*t[76] - (11*t[77])/2 - 
       7*t[78] - 4*t[79] + 24*t[80] - (9*t[81])/4 + (21*t[82])/4 - 
       (25*t[83])/2 - (263*t[84])/16 + (51*t[85])/16 + 19*t[86] - 
       (387*t[87])/16 - (595*t[88])/32 - (719*t[89])/32 + 9*t[95] + 4*t[96] + 
       (3*t[97])/2 + 84*t[98] - 114*t[99] + 102*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((9*t[1])/4 - (49*t[2])/8 + (317*t[3])/8 + (95*t[4])/8 + 
       (625*t[5])/16 - (315*t[6])/32 - (237*t[7])/4 + (655*t[8])/8 - 
       (293*t[9])/4 + (569*t[10])/16 - (813*t[11])/32 - (9*t[12])/4 - 
       (169*t[13])/36 - (623*t[14])/12 - (53*t[15])/144 + 4*t[24] - 4*t[27] - 
       2*t[28] + (31*t[29])/2 - 4*t[30] - 7*t[32] + (5*t[33])/2 + 
       (3*t[34])/2 + 3*t[35] - 9*t[36] + (7*t[37])/2 + t[38] + 2*t[39] + 
       t[40]/4 + t[41] - t[42] + t[43]/4 - (95*t[44])/4 - (13*t[45])/2 - 
       (3*t[46])/2 + 9*t[47] + (1131*t[48])/32 + (215*t[49])/16 - 
       (1233*t[50])/32 - (115*t[51])/32 + (1121*t[52])/32 - (87*t[53])/16 + 
       (145*t[54])/32 - t[59] - (1079*t[60])/16 - (1413*t[61])/16 + 
       (681*t[62])/32 - (273*t[63])/32 + (2827*t[64])/32 + (193*t[65])/48 + 
       (3083*t[66])/48 - t[70] + t[71] + 8*t[72] + 34*t[73] + (3*t[74])/2 - 
       49*t[75] + 11*t[76] + (11*t[77])/2 - (35*t[78])/2 + 5*t[79] + 
       8*t[80] - (55*t[81])/4 + (45*t[82])/4 - 31*t[83] - (587*t[84])/16 - 
       (489*t[85])/16 - 22*t[86] - (127*t[87])/16 - (335*t[88])/32 + 
       (491*t[89])/32 + 9*t[95] + 13*t[96] + 6*t[97] + 84*t[98] - 114*t[99] + 
       102*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-16*t[1])/3 - (73*t[2])/4 + (361*t[3])/3 + 
       (125*t[4])/8 + (673*t[5])/8 - (2705*t[6])/48 + (797*t[7])/6 - 
       (1963*t[8])/12 + (775*t[9])/12 - (2005*t[10])/48 + (2043*t[11])/16 + 
       (3197*t[12])/48 + (14971*t[13])/216 + (6047*t[14])/288 - 
       (793*t[15])/48 - t[17]/6 + 2*t[18] - t[19] - (20*t[20])/3 + 
       (13*t[21])/3 - (38*t[22])/3 - 4*t[23] + t[24] + (11*t[25])/3 - 
       (4*t[26])/3 - (56*t[27])/3 - 6*t[28] - (11*t[29])/6 + (22*t[30])/3 - 
       4*t[31] - (83*t[32])/3 - (10*t[33])/3 + 20*t[34] - 2*t[35] + 6*t[36] + 
       (19*t[37])/3 - (19*t[38])/3 + 20*t[39] - 14*t[40] + (14*t[41])/3 - 
       (8*t[42])/3 - (91*t[43])/12 + (51*t[44])/4 - (293*t[45])/6 - 
       (71*t[46])/6 + (242*t[47])/3 - (1411*t[48])/48 + (651*t[49])/16 - 
       (193*t[50])/16 - (1169*t[51])/96 + (305*t[52])/16 - (1313*t[53])/48 - 
       (1397*t[54])/16 + (5*t[58])/3 + (21*t[59])/4 - (191*t[60])/2 + 
       (641*t[61])/6 - (965*t[62])/8 + (4973*t[63])/24 + (517*t[64])/12 - 
       (256*t[65])/9 - (383*t[66])/3 + t[68]/3 + 6*t[69] - 12*t[70] + 
       12*t[71] - 4*t[72] - 16*t[73] - (55*t[74])/3 + 10*t[75] + 
       (89*t[76])/2 - (83*t[77])/6 - 50*t[78] - 17*t[79] + 33*t[80] + 
       (35*t[81])/3 + (125*t[82])/6 - (65*t[83])/3 - 82*t[84] - 
       (155*t[85])/4 - 13*t[86] - (1007*t[87])/12 - (609*t[88])/8 - 
       (1363*t[89])/24 + 26*t[95] + (82*t[96])/3 + (65*t[97])/6 + 320*t[98] - 
       372*t[99] + 105*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((9*t[1])/2 - (61*t[2])/3 + 
       (567*t[3])/4 - (139*t[4])/3 + (5189*t[5])/48 - (1251*t[6])/16 + 
       (611*t[7])/24 - (4229*t[8])/24 - (875*t[9])/48 + (365*t[10])/24 + 
       (881*t[11])/48 + (1535*t[12])/48 - (14833*t[13])/432 - (17*t[14])/3 - 
       (1711*t[15])/96 + (2*t[17])/3 - t[19]/9 - 4*t[20] + 3*t[21] - 
       2*t[22] - 3*t[23] - (8*t[24])/3 - (16*t[25])/3 + (5*t[26])/3 - 
       (34*t[27])/3 - 4*t[28] - 5*t[29] + (28*t[30])/3 - t[31] - 
       (112*t[32])/3 + (10*t[33])/3 + (4*t[34])/3 - 3*t[35] + (10*t[36])/3 + 
       t[37]/3 + (11*t[38])/6 + (137*t[39])/6 - (53*t[40])/6 + (31*t[41])/6 - 
       (31*t[42])/6 + (53*t[43])/12 + (71*t[44])/4 - (57*t[45])/2 - 
       (23*t[46])/6 + (91*t[47])/3 - (279*t[48])/16 + (179*t[49])/4 - 
       (487*t[50])/16 - (473*t[51])/24 + (2053*t[52])/48 - (205*t[53])/12 - 
       (2779*t[54])/48 - t[55]/6 + t[58]/3 + (11*t[59])/2 - (5315*t[60])/24 - 
       (1967*t[61])/24 + (881*t[62])/16 + (12617*t[63])/48 + 
       (4145*t[64])/48 - (2851*t[65])/24 + (1603*t[66])/24 - (10*t[68])/3 + 
       5*t[69] - (29*t[70])/3 + (29*t[71])/3 + (7*t[72])/3 - 14*t[73] - 
       9*t[74] - 2*t[75] + (239*t[76])/6 - (17*t[77])/2 - (475*t[78])/6 + 
       9*t[79] + (101*t[80])/3 + (25*t[81])/6 + (193*t[82])/6 - 
       (23*t[83])/3 - (1013*t[84])/8 - (1505*t[85])/24 - (215*t[86])/3 - 
       (275*t[87])/8 - (3137*t[88])/48 - (4343*t[89])/48 + (98*t[95])/3 + 
       (107*t[96])/3 + (35*t[97])/3 + 320*t[98] - 372*t[99] + 105*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]^2*((-3*t[1])/2 - 14*t[2] + 
       (85*t[3])/2 - 21*t[4] + (65*t[5])/8 - (263*t[6])/8 + (21*t[7])/8 - 
       (593*t[8])/8 + (15*t[9])/2 - (87*t[10])/8 - (9*t[11])/4 + 
       (91*t[12])/8 + (555*t[13])/16 - (303*t[14])/8 - (355*t[15])/18 + 
       t[16] + 2*t[17] - 2*t[19] + 3*t[20] + 4*t[21] - 4*t[23] + t[24] - 
       2*t[25] + 2*t[26] + 2*t[27] - 4*t[29] - 2*t[30] + 6*t[31] - 13*t[32] + 
       2*t[33] + 10*t[34] + 2*t[36] - 2*t[37] - t[38] + 4*t[39] - 3*t[40] + 
       (3*t[41])/2 - t[42]/2 - (5*t[43])/8 + 5*t[44] - (55*t[45])/4 + 
       (7*t[46])/2 + (39*t[47])/2 - 36*t[48] - (27*t[49])/4 - t[50] + 
       t[51]/4 + (27*t[53])/4 - 31*t[54] + t[58] - 4*t[59] - 37*t[60] - 
       135*t[61] + 30*t[62] - (69*t[63])/2 + 70*t[64] + (37*t[65])/3 - 
       (275*t[66])/6 - t[67] - 4*t[68] + 3*t[69] - 7*t[70] + 7*t[71] - 
       6*t[72] - 6*t[74] + 19*t[76] - 32*t[78] + 30*t[80] + 4*t[81] + 
       9*t[82] - 21*t[84] + 28*t[85] + 21*t[86] - (17*t[87])/2 - 
       (93*t[88])/4 + (25*t[89])/2 + 4*t[95] + 4*t[96] - 2*t[97] + 
       144*t[98] - 180*t[99] + 105*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]^2*((13*t[1])/2 - (29*t[2])/2 + 39*t[3] + 
       (77*t[4])/4 + (233*t[5])/8 - (53*t[6])/2 + (55*t[7])/2 - 
       (203*t[8])/2 - (67*t[9])/8 - (7*t[10])/2 + 4*t[11] - (193*t[12])/8 + 
       (119*t[13])/72 - (1555*t[14])/48 - (1739*t[15])/144 - t[16] - 
       2*t[19] - 2*t[20] - 2*t[21] + 2*t[22] + 2*t[23] - 6*t[25] - t[26] - 
       2*t[27] + t[29] + 8*t[30] + 2*t[31] - 15*t[32] + 2*t[33] + t[34] - 
       t[36] + 5*t[37] + 8*t[38] - t[39] + 4*t[40] - t[41]/2 + t[42]/2 + 
       t[43] + (11*t[44])/2 - t[45] - 2*t[47] - 20*t[48] + (61*t[49])/4 + 
       5*t[50] - (41*t[51])/16 - 10*t[52] - (23*t[53])/4 - (91*t[54])/4 - 
       (5*t[59])/2 - (129*t[60])/2 - (339*t[61])/4 + (219*t[62])/8 - 
       (35*t[63])/8 + (21*t[64])/8 - (59*t[65])/2 + (3*t[66])/2 - 6*t[70] + 
       6*t[71] - 11*t[72] - 3*t[74] + 24*t[76] + 3*t[77] - 44*t[78] - 
       14*t[80] + (5*t[81])/2 + (3*t[82])/2 + 2*t[83] - (51*t[84])/2 + 
       (69*t[85])/4 - 2*t[86] - (7*t[87])/4 - (223*t[88])/8 + t[89] + 
       6*t[95] + 12*t[96] - t[97] + 144*t[98] - 180*t[99] + 105*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-17*t[1])/6 + (179*t[2])/36 + (413*t[3])/96 - (143*t[4])/18 - 
       (193*t[5])/144 - (4057*t[6])/288 + (583*t[7])/144 - (5635*t[8])/144 + 
       (103*t[9])/9 + (5*t[10])/18 - (7343*t[11])/288 - (7*t[12])/18 - 
       (2953*t[13])/288 - (583*t[14])/32 - (34879*t[15])/5184 + 2*t[18] + 
       (38*t[20])/9 - 4*t[22] + (4*t[27])/9 + (5*t[28])/6 + (413*t[29])/72 + 
       (11*t[30])/9 - (3*t[32])/2 - (107*t[33])/18 + (109*t[34])/18 - 
       (5*t[35])/3 + (10*t[36])/3 + (77*t[37])/18 + (2*t[38])/9 - 
       (49*t[39])/18 + (38*t[40])/9 - (25*t[41])/36 + (25*t[42])/36 + 
       (17*t[43])/36 - (445*t[44])/144 + (13*t[45])/9 + t[46]/6 + 
       (7*t[47])/6 - (161*t[48])/32 - (73*t[49])/18 + (1411*t[50])/288 + 
       (121*t[51])/72 - (2819*t[52])/288 + (19*t[53])/6 + (319*t[54])/288 - 
       (107*t[59])/36 - (1453*t[60])/144 - (2447*t[61])/36 + (43*t[62])/3 - 
       (775*t[63])/72 + (617*t[64])/36 + (4327*t[65])/216 + (2701*t[66])/54 - 
       2*t[69] - (35*t[70])/9 + (35*t[71])/9 - (4*t[72])/9 + t[73] - t[75] - 
       (8*t[76])/3 - (5*t[77])/3 + (130*t[78])/9 - 2*t[79] - (127*t[80])/9 - 
       t[81]/9 + (5*t[82])/2 - (38*t[83])/9 + (50*t[84])/9 + (37*t[85])/6 + 
       (17*t[86])/3 + (233*t[87])/9 + (7*t[88])/2 + (5375*t[89])/288 - 
       (7*t[95])/3 + (5*t[96])/9 - 3*t[97] - (40*t[98])/3 + 2*t[99] + 
       106*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*(2*t[1] - 14*t[2] + (55*t[3])/2 - (27*t[4])/2 + 
       (21*t[5])/2 - (71*t[6])/4 + 8*t[7] - 37*t[8] - 22*t[9] - 
       (11*t[10])/4 - (89*t[11])/4 - (25*t[12])/4 - (173*t[13])/18 - 
       (1003*t[14])/24 - (10*t[15])/9 - 4*t[19] + 4*t[20] + 4*t[21] - 
       2*t[22] - 2*t[23] - 2*t[25] + 2*t[26] + 2*t[27] + 2*t[29] + 2*t[30] + 
       4*t[31] - 4*t[32] + 4*t[33] - 6*t[34] + t[38] - 4*t[39] + 4*t[40] - 
       t[42] + t[43] + 7*t[44] - 6*t[45] + 2*t[46] + 6*t[47] - (5*t[48])/4 - 
       (9*t[49])/4 + (31*t[50])/4 - (3*t[51])/8 - (39*t[52])/4 + 
       (9*t[53])/4 - (57*t[54])/4 + 3*t[59] - 57*t[60] - 61*t[61] + 
       (115*t[62])/4 + (77*t[63])/4 + 15*t[64] + (197*t[65])/6 + 88*t[66] - 
       8*t[72] + t[76] - 8*t[78] + 18*t[80] - 11*t[81] + 8*t[82] - 
       (39*t[84])/2 + (19*t[85])/2 + 8*t[86] + (21*t[87])/2 + (21*t[88])/4 + 
       (33*t[89])/2 + 24*t[98] - 24*t[99] + 108*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((3*t[2])/2 + (45*t[3])/2 + (15*t[4])/2 + (65*t[5])/2 - (97*t[6])/4 - 
       14*t[7] - 57*t[8] - (87*t[9])/2 - (21*t[10])/4 + (9*t[11])/4 - 
       (63*t[12])/4 - (95*t[13])/18 - (805*t[14])/24 - (65*t[15])/18 - 
       4*t[25] + 2*t[26] + 6*t[30] + 2*t[31] + 2*t[37] + 2*t[38] - 3*t[39] + 
       t[40] + t[43] - 2*t[44] - 2*t[45] - 2*t[46] + 4*t[47] - (51*t[48])/4 + 
       (37*t[49])/4 + (33*t[50])/4 - (29*t[51])/8 - (25*t[52])/4 - 
       (29*t[53])/4 - (103*t[54])/4 - (3*t[59])/2 - 42*t[60] - 72*t[61] + 
       (27*t[62])/4 + (13*t[63])/4 + (45*t[64])/2 - (121*t[65])/6 + 
       (25*t[66])/3 - 8*t[72] + 3*t[76] + 2*t[77] - 7*t[78] - 8*t[80] - 
       6*t[81] - 2*t[82] - (25*t[84])/2 + (21*t[85])/2 + 8*t[86] + 
       (7*t[87])/2 + (11*t[88])/4 - (9*t[89])/2 + 2*t[96] - t[97] + 
       24*t[98] - 24*t[99] + 108*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*((-5*t[1])/2 + 
       (217*t[2])/144 - (4187*t[3])/144 - (1117*t[4])/144 - (6185*t[5])/288 + 
       (6685*t[6])/576 - (445*t[7])/144 + (2437*t[8])/144 + (1043*t[9])/72 - 
       (3503*t[10])/288 - (16793*t[11])/576 - (71*t[12])/24 - 
       (11383*t[13])/1296 - (4987*t[14])/864 - (9919*t[15])/2592 + t[20]/2 - 
       t[22] - (19*t[24])/18 + t[25] + (19*t[27])/18 + (259*t[29])/72 - 
       (41*t[30])/18 - (5*t[31])/6 + (989*t[32])/144 - (23*t[33])/9 - 
       (13*t[34])/6 + t[35] + (41*t[36])/12 + (47*t[37])/36 - (5*t[38])/9 - 
       (28*t[39])/9 + (433*t[40])/144 - (19*t[41])/72 + (19*t[42])/72 - 
       (19*t[43])/72 + (701*t[44])/144 + (119*t[45])/18 + (41*t[46])/24 - 
       (21*t[47])/4 + (2405*t[48])/192 - (1003*t[49])/96 + (1105*t[50])/192 + 
       (2399*t[51])/576 - (5363*t[52])/576 + (1825*t[53])/288 + 
       (3559*t[54])/192 - (19*t[59])/36 + (6701*t[60])/288 - 
       (6095*t[61])/288 + (11135*t[62])/576 - (23791*t[63])/576 + 
       (8099*t[64])/576 + (39169*t[65])/864 + (33131*t[66])/864 + t[69]/2 + 
       (19*t[70])/18 - (19*t[71])/18 - (23*t[72])/18 + (41*t[73])/6 - 
       (35*t[75])/6 - (137*t[76])/18 - (17*t[77])/36 + (379*t[78])/18 - 
       (203*t[80])/18 + (55*t[81])/12 - (205*t[82])/36 - (61*t[83])/36 + 
       (6565*t[84])/288 + (3541*t[85])/288 + (43*t[86])/3 + 
       (8657*t[87])/288 + (3995*t[88])/192 + (17527*t[89])/576 - 
       (19*t[95])/6 - (65*t[96])/9 - (7*t[97])/2 - (467*t[98])/3 + 
       129*t[99] + 115*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - v]*(5*t[1] - (7*t[2])/12 + (343*t[3])/12 + 
       (269*t[4])/6 + (43*t[5])/24 - (1169*t[6])/24 - (117*t[7])/4 - 
       (223*t[8])/3 - (1159*t[9])/24 + (14*t[10])/3 + (85*t[11])/8 - 
       (339*t[12])/8 + (1435*t[13])/72 - (2489*t[14])/36 - 
       (11153*t[15])/432 - (5*t[20])/3 + 5*t[23] + 5*t[24] + (22*t[28])/3 - 
       4*t[29] + (71*t[30])/6 - 15*t[31] + (10*t[32])/3 + (25*t[33])/6 - 
       (103*t[34])/3 - 40*t[35] + 10*t[38] + 15*t[40] - (17*t[44])/3 + 
       35*t[45] - 25*t[47] - (323*t[48])/24 - (56*t[49])/3 - (17*t[50])/24 + 
       (43*t[51])/3 - (703*t[52])/24 + (56*t[53])/3 - (141*t[54])/8 - 
       (17*t[59])/3 + (445*t[60])/12 + (19*t[61])/3 - (83*t[62])/24 - 
       (1155*t[63])/8 - (34*t[64])/3 - (487*t[65])/36 - (281*t[66])/4 - 
       2*t[69] - 10*t[72] - 7*t[73] + (23*t[74])/3 - 3*t[75] - 35*t[76] + 
       20*t[78] + 7*t[79] - 30*t[80] - (35*t[81])/6 - (25*t[82])/6 - 
       (58*t[83])/3 + (323*t[84])/12 - (43*t[85])/2 - (119*t[86])/3 + 
       (277*t[87])/4 + (871*t[88])/24 + (1661*t[89])/24 - (28*t[95])/3 - 
       5*t[97] - 240*t[98] + 240*t[99] + 118*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((51*t[2])/4 - (285*t[3])/8 + (27*t[4])/2 - (13*t[5])/8 + 44*t[6] - 
       (471*t[7])/4 + (721*t[8])/4 - (535*t[9])/8 - t[10]/4 - (121*t[11])/4 - 
       (5*t[12])/8 - (151*t[13])/8 - (1261*t[14])/12 - (433*t[15])/18 - 
       12*t[20] - 2*t[28] + (5*t[29])/2 + (67*t[30])/2 + 13*t[32] - 
       (21*t[33])/2 - 7*t[34] + 24*t[35] - (23*t[44])/2 + (185*t[48])/4 + 
       (15*t[49])/4 - (213*t[50])/4 - (15*t[51])/8 + (213*t[52])/4 - 
       (15*t[53])/4 + 41*t[54] + (15*t[59])/2 - (175*t[60])/4 - 
       (105*t[61])/2 + (623*t[62])/8 + (119*t[63])/8 + (327*t[64])/2 + 
       (761*t[65])/12 + (785*t[66])/4 + 3*t[67] + 12*t[69] - 78*t[73] + 
       4*t[74] + 222*t[75] - 30*t[79] + (11*t[81])/2 - (11*t[82])/2 - 
       88*t[83] - (85*t[84])/4 - 16*t[85] + 34*t[86] + (87*t[87])/2 - 
       (35*t[88])/4 + (97*t[89])/2 + 16*t[95] + 120*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((117*t[2])/4 - (21*t[3])/8 + 6*t[4] + (47*t[5])/8 + 89*t[6] - 
       (873*t[7])/4 + (1423*t[8])/4 - (543*t[9])/8 + 5*t[10] - 
       (379*t[11])/4 - (23*t[12])/8 + (17*t[13])/8 - (379*t[14])/8 - 
       (323*t[15])/36 + 52*t[28] + (19*t[29])/2 + (67*t[30])/2 + 18*t[32] - 
       (3*t[33])/2 - t[34] - (209*t[44])/2 + (365*t[48])/4 + 3*t[49] - 
       (393*t[50])/4 - (3*t[51])/2 + (393*t[52])/4 - 3*t[53] + 
       (175*t[54])/2 - (19*t[59])/2 - (133*t[60])/4 - 158*t[61] + 
       (1901*t[62])/8 - (1423*t[63])/8 + (591*t[64])/4 + (2077*t[65])/12 + 
       (721*t[66])/4 - 96*t[73] - 2*t[74] + 240*t[75] - 12*t[79] + 
       (5*t[81])/2 - (5*t[82])/2 - 52*t[83] - (97*t[84])/4 - (35*t[85])/2 + 
       4*t[86] + 39*t[87] - 11*t[88] + (383*t[89])/4 + 16*t[95] + 
       120*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(-5*t[1] - (83*t[2])/3 + (65*t[3])/3 + 
       (55*t[4])/4 - (355*t[5])/8 - (1191*t[6])/16 + (197*t[7])/12 - 
       (1297*t[8])/6 + (19*t[9])/4 + (1051*t[10])/24 - (1211*t[11])/48 - 
       (38*t[12])/3 - (4861*t[13])/216 - (3659*t[14])/72 - (5539*t[15])/216 - 
       (4*t[20])/3 + 2*t[22] + (2*t[24])/3 + (2*t[27])/3 + 2*t[28] + 
       (47*t[29])/3 + 35*t[30] + 6*t[31] - (26*t[32])/3 - (20*t[33])/3 + 
       (50*t[34])/3 + 4*t[35] - 10*t[36] + (14*t[37])/3 - (2*t[38])/3 - 
       (13*t[39])/3 + (41*t[40])/6 + t[41]/3 - t[42]/3 + (4*t[43])/3 + 
       (35*t[44])/2 - 7*t[45] + 3*t[46] + 5*t[47] - (597*t[48])/16 + 
       (287*t[49])/24 + (2261*t[50])/48 - (73*t[51])/16 - (2549*t[52])/48 - 
       (319*t[53])/24 - (2149*t[54])/48 - (25*t[59])/3 - (2989*t[60])/24 - 
       (3419*t[61])/24 + (2779*t[62])/48 + (8429*t[63])/48 + (863*t[64])/16 + 
       (13*t[65])/8 + (5675*t[66])/72 - 4*t[69] - (16*t[70])/3 + 
       (16*t[71])/3 - 6*t[72] + 6*t[73] - 10*t[74] - 2*t[75] + (46*t[76])/3 + 
       (2*t[77])/3 - (10*t[78])/3 + 8*t[79] - 12*t[80] + (56*t[81])/3 - 
       (17*t[82])/3 + (74*t[83])/3 - (225*t[84])/8 + (257*t[85])/24 - 
       20*t[86] + (659*t[87])/24 - (207*t[88])/16 - (437*t[89])/16 + 
       12*t[95] + (10*t[96])/3 - 6*t[97] + 64*t[98] - 80*t[99] + 
       121*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((-233*t[1])/12 + (181*t[2])/12 - 
       (391*t[3])/48 + (44*t[4])/3 - (645*t[5])/32 + (6443*t[6])/96 - 
       (7651*t[7])/48 + (7055*t[8])/48 - (3839*t[9])/96 - (343*t[10])/24 - 
       (2957*t[11])/32 + (91*t[12])/32 + (1711*t[13])/288 - (9*t[14])/2 - 
       (6703*t[15])/576 - t[16]/3 + (26*t[25])/3 + (73*t[26])/6 + 3*t[27] + 
       14*t[28] + (41*t[29])/6 - (19*t[30])/6 + 3*t[31] - 3*t[32] + 3*t[33] + 
       (49*t[34])/6 + 6*t[35] - 12*t[36] + (8*t[37])/3 - (35*t[38])/2 - 
       t[39] - (37*t[40])/12 - (49*t[41])/12 + (49*t[42])/12 - t[43]/8 - 
       (71*t[44])/4 - (77*t[45])/8 + 2*t[46] + (65*t[47])/4 + 
       (1293*t[48])/32 - (321*t[49])/16 - (1159*t[50])/32 - (17*t[51])/24 + 
       (4357*t[52])/96 - (437*t[53])/48 + (3889*t[54])/96 + (5*t[58])/6 + 
       (35*t[59])/12 + (1659*t[60])/16 - (4549*t[61])/48 + (3999*t[62])/32 - 
       (2591*t[63])/32 + (2785*t[64])/32 + (4135*t[65])/144 + 
       (2065*t[66])/144 - (7*t[68])/3 + 3*t[69] + (4*t[70])/3 - (4*t[71])/3 - 
       3*t[72] + (31*t[74])/3 + 32*t[75] - 28*t[76] + 3*t[77] + 
       (455*t[78])/6 - 32*t[79] + (13*t[80])/6 - (11*t[81])/3 - 
       (53*t[82])/2 - (79*t[83])/2 + (939*t[84])/16 + (467*t[85])/16 - 
       (37*t[86])/4 - (75*t[87])/16 + (53*t[88])/32 + (5195*t[89])/96 - 
       t[91]/12 + t[93] - (14*t[95])/3 - (73*t[96])/3 - (101*t[97])/6 - 
       184*t[98] + 176*t[99] + 130*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((11*t[1])/4 + (32*t[2])/3 - 
       (207*t[3])/16 - (1555*t[4])/48 + (1837*t[5])/48 - (3619*t[6])/96 + 
       (391*t[7])/16 + (207*t[8])/16 - (2623*t[9])/48 + (2851*t[10])/96 - 
       (6239*t[11])/96 - (1671*t[12])/32 - (8519*t[13])/96 - 
       (3391*t[14])/192 - (467*t[15])/288 + (5*t[16])/6 - (7*t[17])/6 - 
       (2*t[18])/3 - 5*t[19] + t[20] + (17*t[21])/3 + 15*t[22] - t[23]/3 - 
       (5*t[24])/3 + 7*t[25] + (8*t[26])/3 + 4*t[27] + 6*t[28] + 
       (283*t[29])/12 + (57*t[30])/2 - 6*t[31] + (37*t[32])/3 - 
       (43*t[33])/3 - (107*t[34])/6 - 7*t[35] + (8*t[36])/3 + 14*t[37] + 
       (16*t[38])/3 - 9*t[39] + (155*t[40])/6 - (37*t[41])/12 - t[42]/4 + 
       (55*t[43])/16 - (83*t[44])/24 + (83*t[45])/8 + (11*t[46])/2 - 
       (33*t[47])/4 + (1515*t[48])/32 - (1973*t[49])/96 + (1261*t[50])/96 + 
       (245*t[51])/64 - (3421*t[52])/96 + (2021*t[53])/96 + (655*t[54])/32 + 
       (3*t[56])/2 + 3*t[57] + (2*t[58])/3 - 2*t[59] - (269*t[60])/3 + 
       (149*t[61])/6 - (401*t[62])/6 - (541*t[63])/12 + (667*t[64])/4 + 
       (100*t[65])/9 + (1837*t[66])/9 - t[67]/3 - (5*t[68])/3 + 2*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 - 4*t[72] + 8*t[73] + 16*t[74] - 6*t[75] - 
       (107*t[76])/3 + (13*t[77])/3 + (152*t[78])/3 - 3*t[79] + (8*t[80])/3 - 
       (97*t[81])/3 + (17*t[82])/6 - 2*t[83] - (5*t[84])/6 - 56*t[85] + 
       (334*t[86])/3 + 141*t[87] + (141*t[88])/2 + (469*t[89])/12 - 
       (16*t[97])/3 - 184*t[98] + 176*t[99] + 130*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*(-24*t[2] + 10*t[3] - 
       16*t[4] - (11*t[5])/2 - 15*t[6] - 10*t[7] + 15*t[8] - (53*t[9])/2 + 
       7*t[10] - 37*t[11] - (7*t[12])/2 - (95*t[13])/3 - (88*t[14])/3 + 
       (17*t[15])/4 - 6*t[28] + 6*t[32] - 6*t[33] + 3*t[48] + 3*t[49] + 
       5*t[50] - (3*t[51])/2 - 5*t[52] - 3*t[53] - 11*t[54] + 4*t[59] - 
       46*t[60] - 86*t[61] + 38*t[62] + 74*t[63] + 23*t[64] + 21*t[65] + 
       101*t[66] - 8*t[73] - 16*t[74] + 20*t[75] - 8*t[76] - 8*t[77] - 
       6*t[81] + 14*t[82] - 11*t[84] - 2*t[85] - 4*t[86] + 24*t[87] + 
       12*t[88] + t[89] - 48*t[98] + 132*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*(4*t[2] + t[3] + 4*t[4] + 
       (25*t[5])/2 - 16*t[6] + t[7] - 42*t[8] + (27*t[9])/2 + 21*t[10] - 
       9*t[11] - (5*t[12])/2 + (10*t[13])/3 - (55*t[14])/6 - (205*t[15])/12 + 
       8*t[28] + 4*t[41] - 4*t[42] + 8*t[45] + 4*t[48] + 2*t[49] + 4*t[50] - 
       t[51] - 4*t[52] - 2*t[53] - 8*t[54] + 4*t[59] - 3*t[60] - 42*t[61] + 
       t[62] - 48*t[63] + 7*t[64] + 23*t[65] - 6*t[66] - 8*t[73] + 20*t[75] + 
       8*t[81] - 8*t[82] + 4*t[83] - 4*t[85] + 4*t[86] + 4*t[87] + 2*t[88] + 
       27*t[89] - 48*t[98] + 132*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*(-t[1]/2 - (637*t[2])/24 + (4517*t[3])/48 + 
       (129*t[4])/8 + (805*t[5])/16 - (2965*t[6])/32 + (1561*t[7])/24 - 
       (2825*t[8])/12 - (157*t[9])/8 + (161*t[10])/48 + (6599*t[11])/96 + 
       (217*t[12])/12 + (6277*t[13])/432 - (647*t[14])/18 - 
       (4399*t[15])/864 - (4*t[20])/3 - (4*t[24])/3 - 4*t[25] - (4*t[27])/3 - 
       t[29]/12 + t[30] + 4*t[31] - (121*t[32])/6 - (19*t[33])/6 + 
       (5*t[34])/3 + 10*t[36] + (37*t[37])/6 + (10*t[38])/3 + (20*t[39])/3 - 
       (35*t[40])/12 + (13*t[41])/12 - (13*t[42])/12 + (13*t[43])/12 + 
       (91*t[44])/8 - (45*t[45])/2 - (5*t[46])/2 + 29*t[47] - 
       (1463*t[48])/32 + (655*t[49])/48 + (2335*t[50])/96 - (209*t[51])/32 - 
       (2143*t[52])/96 + (49*t[53])/48 - (7955*t[54])/96 + (5*t[59])/3 - 
       (7979*t[60])/48 - (2707*t[61])/48 - (3745*t[62])/96 + 
       (13729*t[63])/96 + (1143*t[64])/32 - (1903*t[65])/48 + 
       (1321*t[66])/144 - (19*t[70])/3 + (19*t[71])/3 - 4*t[72] - 10*t[73] - 
       (17*t[74])/2 + 10*t[75] + (167*t[76])/6 - (17*t[77])/6 - 
       (269*t[78])/6 - 20*t[79] + 7*t[80] - (139*t[81])/12 + (91*t[82])/12 + 
       (32*t[83])/3 - (1051*t[84])/16 - (851*t[85])/48 + 7*t[86] - 
       (893*t[87])/48 - (1247*t[88])/32 - (1927*t[89])/32 + 17*t[95] + 
       (67*t[96])/3 + 5*t[97] + 196*t[98] - 222*t[99] + 132*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((15*t[1])/2 - (583*t[2])/24 + (2591*t[3])/24 + (145*t[4])/24 + 
       (2771*t[5])/48 - (7093*t[6])/96 + (17*t[7])/12 - (3031*t[8])/24 - 
       (803*t[9])/12 + (1091*t[10])/48 + (3437*t[11])/96 - 6*t[12] + 
       (4603*t[13])/216 - (4591*t[14])/72 - (5297*t[15])/432 + (16*t[24])/3 - 
       4*t[25] - (4*t[27])/3 - 5*t[28] + (31*t[29])/6 + (35*t[30])/3 + 
       4*t[31] - (173*t[32])/6 + (41*t[33])/6 + 8*t[34] + 10*t[35] - 
       10*t[36] - (11*t[37])/6 + (10*t[38])/3 + (5*t[39])/3 + (7*t[40])/12 + 
       (13*t[41])/12 - (13*t[42])/12 + (13*t[43])/12 - (55*t[44])/12 - 
       (157*t[45])/6 - (5*t[46])/2 + 24*t[47] - (1049*t[48])/32 + 
       (415*t[49])/16 + (11*t[50])/32 - (977*t[51])/96 + (287*t[52])/96 - 
       (733*t[53])/48 - (2379*t[54])/32 - (17*t[59])/6 - (7565*t[60])/48 - 
       (5167*t[61])/48 + (331*t[62])/96 + (9949*t[63])/96 + 
       (10753*t[64])/96 - (11137*t[65])/144 + (2497*t[66])/144 - 
       (19*t[70])/3 + (19*t[71])/3 + (8*t[72])/3 - 10*t[73] - (7*t[74])/2 + 
       10*t[75] + (145*t[76])/6 + (5*t[77])/6 - (299*t[78])/6 + 
       (161*t[80])/3 - (51*t[81])/4 + (245*t[82])/12 + (32*t[83])/3 - 
       (3793*t[84])/48 - (727*t[85])/48 + 19*t[86] - (1625*t[87])/48 - 
       (1619*t[88])/32 - (5719*t[89])/96 + 17*t[95] + (67*t[96])/3 + 
       5*t[97] + 196*t[98] - 222*t[99] + 132*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((3*t[1])/2 + (27*t[2])/2 - (91*t[3])/4 - 10*t[4] + (21*t[5])/4 - 
       (17*t[6])/8 + (7*t[7])/2 + 6*t[8] + 6*t[9] + 8*t[10] - (107*t[11])/8 - 
       t[12]/4 - (83*t[13])/4 + (33*t[14])/8 - (233*t[15])/72 + 2*t[19] + 
       2*t[20] + 2*t[21] - 2*t[22] - 2*t[23] - 4*t[25] + 2*t[26] + 4*t[27] - 
       3*t[29] + 2*t[31] + 15*t[32] - 2*t[33] - 3*t[34] + 2*t[37] + 2*t[38] + 
       t[39] - 5*t[40] + (3*t[41])/2 - (3*t[42])/2 + (11*t[44])/2 - 2*t[46] + 
       4*t[47] - (23*t[48])/8 + 2*t[49] + (101*t[50])/8 + t[51]/2 - 
       (29*t[52])/8 - (53*t[54])/8 - 2*t[59] + (75*t[60])/4 - (205*t[61])/4 - 
       (155*t[62])/8 - (333*t[63])/8 - (241*t[64])/8 + (19*t[65])/4 + 
       (151*t[66])/12 + 4*t[70] - 4*t[71] + 2*t[72] + 2*t[74] + 2*t[77] - 
       2*t[78] - 4*t[80] - 5*t[81] - t[82] + (9*t[84])/4 + (63*t[85])/4 - 
       (31*t[87])/4 + (129*t[88])/8 + (61*t[89])/8 - 4*t[95] - 4*t[96] + 
       2*t[97] - 24*t[99] + 132*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((7*t[1])/2 - 8*t[2] - 
       14*t[3] - (53*t[4])/2 + (23*t[5])/4 + (143*t[6])/8 - 7*t[7] + 
       (91*t[8])/2 - 8*t[9] + (33*t[10])/4 - (399*t[11])/8 - t[12] - 
       (617*t[13])/36 - (59*t[14])/4 + (61*t[15])/18 - 2*t[25] + 2*t[26] - 
       4*t[29] - 4*t[30] + 4*t[31] + 9*t[32] + 4*t[33] - 7*t[34] - 2*t[37] + 
       t[38] - 2*t[39] - 4*t[40] + t[41]/2 - t[42]/2 + t[43] + 2*t[44] - 
       t[45] + 2*t[46] + 3*t[47] + (129*t[48])/8 - (17*t[49])/4 - 
       (35*t[50])/8 + (9*t[51])/8 + (75*t[52])/8 + (17*t[53])/4 + 
       (155*t[54])/8 + (7*t[59])/2 - (3*t[60])/4 - (245*t[61])/4 + 
       (7*t[62])/8 - (447*t[63])/8 + (31*t[64])/8 + (419*t[65])/12 + 
       (325*t[66])/4 + 4*t[70] - 4*t[71] - 4*t[72] + 2*t[74] - t[76] + 
       4*t[77] - 7*t[78] + 16*t[80] - 11*t[81] + 6*t[82] - (25*t[84])/4 + 
       (21*t[85])/4 + 12*t[86] + (23*t[87])/4 + (175*t[88])/8 + 
       (267*t[89])/8 - 4*t[95] - 4*t[96] + 3*t[97] - 24*t[99] + 132*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (2*t[1] - 6*t[2] + (39*t[3])/2 + (43*t[4])/2 - (35*t[5])/2 - 
       (95*t[6])/4 - 15*t[7] - 57*t[8] - 16*t[9] - (13*t[10])/4 - 
       (117*t[11])/4 - (131*t[12])/4 + (5*t[13])/18 - (495*t[14])/8 - 
       (61*t[15])/3 - 5*t[29] + 9*t[30] - 8*t[31] + 3*t[32] + t[33] - 
       22*t[34] - 16*t[35] + 7*t[38] - 3*t[39] + 14*t[40] - t[41] + t[42] + 
       6*t[44] + 28*t[45] - 22*t[47] - (45*t[48])/4 - (75*t[49])/4 + 
       (15*t[50])/4 + (103*t[51])/8 - (103*t[52])/4 + (59*t[53])/4 + 
       (19*t[54])/4 - 2*t[59] + 26*t[60] - 42*t[61] + (61*t[62])/2 - 
       (199*t[63])/2 - (95*t[64])/2 + (70*t[65])/3 + (22*t[66])/3 - 8*t[72] - 
       4*t[73] + 4*t[74] + 4*t[75] - 36*t[76] - 2*t[77] + 26*t[78] + 
       4*t[79] - 28*t[80] - 4*t[81] - 18*t[83] + 38*t[84] + 3*t[85] - 
       20*t[86] + 53*t[87] + (59*t[88])/2 + 58*t[89] - 8*t[95] - 6*t[96] - 
       8*t[97] - 240*t[98] + 240*t[99] + 132*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      (6*t[1] - (475*t[2])/8 + (587*t[3])/4 + (491*t[4])/8 + (1155*t[5])/16 - 
       (321*t[6])/2 + (943*t[7])/8 - (2801*t[8])/8 - (2105*t[9])/16 + 
       (473*t[10])/16 + (1023*t[11])/8 - (33*t[12])/4 + (679*t[13])/72 - 
       (2995*t[14])/32 - (361*t[15])/288 + 3*t[18] + 9*t[20] - 9*t[22] + 
       4*t[24] - 4*t[27] - 24*t[28] - (7*t[29])/2 + (91*t[30])/2 + 6*t[31] - 
       (79*t[32])/4 + 4*t[33] - (33*t[34])/2 + 34*t[35] - 15*t[36] - t[37] + 
       4*t[38] - (13*t[39])/4 + (23*t[40])/2 + (13*t[41])/4 - (13*t[42])/4 - 
       t[43]/2 + (131*t[44])/4 - (71*t[45])/4 - 3*t[46] + (99*t[47])/4 - 
       (261*t[48])/4 + (533*t[49])/16 + (129*t[50])/2 - (301*t[51])/32 - 
       (145*t[52])/2 - (165*t[53])/16 - (1259*t[54])/8 - (13*t[59])/8 - 
       (1259*t[60])/4 + (329*t[61])/8 - (191*t[62])/2 + 266*t[63] + 
       (1341*t[64])/16 - (1027*t[65])/8 + (1807*t[66])/24 + (5*t[67])/4 + 
       12*t[69] - 16*t[70] + 16*t[71] + 2*t[72] - 36*t[73] - (39*t[74])/2 + 
       37*t[75] + (55*t[76])/2 + (23*t[77])/2 - (295*t[78])/4 - 11*t[79] + 
       (79*t[80])/2 - 28*t[81] + 6*t[82] + (109*t[83])/2 - (1021*t[84])/8 - 
       60*t[85] - t[86] - (43*t[87])/4 - (305*t[88])/8 - (1733*t[89])/16 + 
       24*t[95] + 31*t[96] + (33*t[97])/4 + 210*t[98] - 246*t[99] + 
       141*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-7*t[1] - (87*t[2])/4 + (487*t[3])/8 - 
       (83*t[4])/4 + (283*t[5])/8 - (945*t[6])/16 + (221*t[7])/4 - 182*t[8] + 
       (49*t[9])/2 - (173*t[10])/8 + (529*t[11])/16 + (197*t[12])/4 + 
       (283*t[13])/72 + (55*t[14])/12 - (487*t[15])/144 - 2*t[20] + 2*t[24] - 
       2*t[25] - 2*t[27] + (5*t[29])/2 - 4*t[30] + 8*t[31] - 16*t[32] - 
       7*t[33] + 18*t[34] + 12*t[36] + 11*t[37] - 2*t[38] + 9*t[39] - 
       (27*t[40])/2 + t[41]/2 - t[42]/2 + (3*t[43])/2 + (31*t[44])/4 - 
       39*t[45] - 3*t[46] + 42*t[47] - (667*t[48])/16 + (137*t[49])/8 + 
       (209*t[50])/16 - (157*t[51])/16 + (47*t[52])/16 - (57*t[53])/8 - 
       (1005*t[54])/16 + t[59] - (929*t[60])/8 - (1033*t[61])/8 - 
       (55*t[62])/16 + (2535*t[63])/16 + (735*t[64])/16 - (297*t[65])/8 + 
       (201*t[66])/8 - 6*t[70] + 6*t[71] - 4*t[72] - 12*t[73] - 9*t[74] + 
       12*t[75] + 38*t[76] - 5*t[77] - 33*t[78] - 24*t[79] + 16*t[80] + 
       t[81]/2 + (21*t[82])/2 + 6*t[83] - (519*t[84])/8 + (43*t[85])/8 + 
       6*t[86] - (443*t[87])/8 - (907*t[88])/16 - (1103*t[89])/16 + 
       18*t[95] + 18*t[96] + 6*t[97] + 264*t[98] - 300*t[99] + 144*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((115*t[1])/8 - (4511*t[2])/144 - (11155*t[3])/144 + (4249*t[4])/48 - 
       (1975*t[5])/24 + (4535*t[6])/96 - (7051*t[7])/144 + (7339*t[8])/36 + 
       (487*t[9])/8 - (6881*t[10])/288 - (4381*t[11])/288 - 
       (8197*t[12])/288 + (34613*t[13])/648 - (28735*t[14])/1728 - 
       (114139*t[15])/2592 - 2*t[18] + (13*t[19])/2 - (107*t[20])/18 + 
       6*t[21] + 11*t[22] - 6*t[23] + (19*t[24])/18 + 2*t[25] - 
       (47*t[26])/4 + (14*t[27])/9 - 3*t[28] - (269*t[29])/18 - 
       (449*t[30])/12 + (89*t[31])/6 + (2137*t[32])/144 + (157*t[33])/36 - 
       (673*t[34])/36 + 33*t[35] + (33*t[36])/4 - (7*t[37])/9 + 
       (517*t[38])/36 - (5*t[39])/18 - (535*t[40])/72 + (695*t[41])/72 - 
       (551*t[42])/72 - (5*t[43])/9 - (721*t[44])/24 + (209*t[45])/12 - 
       (25*t[46])/6 + (119*t[47])/12 + (3811*t[48])/96 - (4471*t[49])/288 - 
       (14891*t[50])/288 + (5303*t[51])/192 + (14771*t[52])/288 + 
       (1703*t[53])/288 + (13231*t[54])/288 - t[58]/4 - (97*t[59])/9 + 
       (17899*t[60])/144 - (4481*t[61])/72 - (5209*t[62])/288 - 
       (62075*t[63])/288 + (209*t[64])/2 + (3527*t[65])/144 - 
       (9059*t[66])/432 + 3*t[69] + (47*t[70])/9 - (47*t[71])/9 + 
       (31*t[72])/6 - (25*t[73])/4 + (9*t[74])/2 + (57*t[75])/4 - 
       (337*t[76])/18 + (113*t[77])/36 + (917*t[78])/36 - (32*t[79])/3 - 
       (47*t[80])/6 - (1541*t[81])/72 - (811*t[82])/72 - (253*t[83])/9 + 
       (2371*t[84])/48 + (1363*t[85])/36 + (119*t[86])/6 - (809*t[87])/144 + 
       (2765*t[88])/96 + (14209*t[89])/96 - (8*t[95])/3 - (133*t[96])/18 + 
       (3*t[97])/4 - (377*t[98])/3 + 94*t[99] + 145*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-5*t[1])/6 - (73*t[2])/36 + (11125*t[3])/288 - (1397*t[4])/36 + 
       (5467*t[5])/144 - (1789*t[6])/576 - (8393*t[7])/144 + (65*t[8])/36 - 
       (20585*t[9])/288 - (1231*t[10])/72 - (39547*t[11])/576 - 
       (227*t[12])/48 - (55939*t[13])/2592 - (109831*t[14])/1728 - 
       (467*t[15])/162 + 2*t[19] - (7*t[20])/3 + t[22] - t[23] + 
       (26*t[24])/9 + (19*t[27])/9 - (11*t[28])/6 - (151*t[29])/72 - 
       (109*t[30])/18 + (11*t[31])/3 - (607*t[32])/72 + (107*t[33])/9 - 
       (7*t[34])/6 - t[35]/3 - (5*t[36])/2 - (35*t[37])/9 + (2*t[38])/9 - 
       (71*t[39])/9 + (161*t[40])/36 + t[41]/18 + (17*t[42])/18 + 
       (25*t[43])/18 - (857*t[44])/144 + t[45]/18 - (5*t[46])/6 - 
       (29*t[47])/6 - (133*t[48])/192 - (49*t[49])/8 - (1201*t[50])/192 + 
       (541*t[51])/144 + (5459*t[52])/576 + (137*t[53])/72 + 
       (1009*t[54])/192 - (31*t[59])/18 - (15563*t[60])/288 - 
       (42631*t[61])/288 + (54883*t[62])/576 - (4715*t[63])/576 + 
       (19321*t[64])/576 + (30389*t[65])/864 + (99799*t[66])/864 - t[69] - 
       (5*t[70])/9 + (5*t[71])/9 + (10*t[72])/9 + (2*t[73])/3 + 
       (13*t[74])/6 - (14*t[75])/3 - (116*t[76])/9 - (13*t[77])/9 - 
       (97*t[78])/18 + 12*t[79] + (109*t[80])/9 - (215*t[81])/12 + 
       (733*t[82])/36 - (121*t[83])/18 - (691*t[84])/288 + (4313*t[85])/288 + 
       t[86] + (5659*t[87])/288 + (707*t[88])/64 + (1571*t[89])/576 - 
       (4*t[95])/3 - (61*t[96])/9 - (9*t[97])/2 - (172*t[98])/3 + 36*t[99] + 
       (293*t[100])/2) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-87*t[1])/8 - (595*t[2])/24 + (283*t[3])/4 - 
       (535*t[4])/8 - (31*t[5])/4 - (1049*t[6])/32 + (557*t[7])/6 - 
       (1123*t[8])/8 + (2639*t[9])/48 - (1257*t[10])/16 - (5789*t[11])/96 + 
       (4129*t[12])/48 - (413*t[13])/144 - (5339*t[14])/144 - 
       (847*t[15])/864 - t[17] - 2*t[19] - (7*t[20])/3 - 2*t[21] + 2*t[22] + 
       4*t[23] - (103*t[24])/6 + (2*t[27])/3 + 3*t[28] + (17*t[29])/6 - 
       (51*t[30])/2 + (7*t[31])/3 - (105*t[32])/8 - 12*t[33] + 
       (289*t[34])/12 - 14*t[35] + (113*t[36])/6 + (47*t[37])/6 - 
       (19*t[38])/4 - (5*t[39])/12 - (103*t[40])/12 - (103*t[41])/24 + 
       (55*t[42])/24 + (13*t[43])/8 + (37*t[44])/6 - (181*t[45])/3 - 
       (5*t[46])/2 + (395*t[47])/6 - (1119*t[48])/32 - (1201*t[49])/48 + 
       (1847*t[50])/96 + (299*t[51])/32 - (991*t[52])/96 + (363*t[53])/16 - 
       (1363*t[54])/96 + t[55]/4 - 2*t[57] + (115*t[59])/24 - 
       (1529*t[60])/16 - (14219*t[61])/48 + (11023*t[62])/96 + 
       (3205*t[63])/96 - (179*t[64])/96 + (24445*t[65])/144 + 
       (33901*t[66])/144 + (13*t[68])/2 - 2*t[69] - (11*t[70])/3 + 
       (11*t[71])/3 - (4*t[72])/3 - (17*t[73])/6 - (77*t[74])/2 - 
       (7*t[75])/6 - (55*t[76])/6 - 3*t[77] + (119*t[78])/3 - (4*t[79])/3 - 
       (53*t[80])/3 + (17*t[81])/12 + (497*t[82])/12 - (14*t[83])/3 - 
       (173*t[84])/16 + (2495*t[85])/48 + (129*t[86])/2 + (149*t[87])/16 - 
       (2521*t[88])/96 + (477*t[89])/32 + t[90]/2 + t[91]/6 + (19*t[95])/3 + 
       (13*t[96])/6 - (53*t[97])/12 + 198*t[98] - 240*t[99] + 148*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (5*t[1] - (21*t[2])/2 + (241*t[3])/4 + (407*t[4])/8 + (365*t[5])/24 - 
       (751*t[6])/12 - (175*t[7])/4 - (1349*t[8])/12 - (2233*t[9])/24 + 
       (191*t[10])/48 + (721*t[11])/24 - (1807*t[12])/48 + (277*t[13])/12 - 
       (3435*t[14])/32 - (5467*t[15])/216 + 3*t[20] - 2*t[24] + t[28]/3 - 
       (97*t[29])/12 + (79*t[30])/6 - 10*t[31] + (29*t[32])/6 - 4*t[33] - 
       (112*t[34])/3 - 16*t[35] + 10*t[38] + 15*t[40] - t[41] + t[42] + 
       (149*t[44])/12 + 35*t[45] - 25*t[47] - (109*t[48])/12 - 
       (245*t[49])/16 - 4*t[50] + (405*t[51])/32 - 26*t[52] + 
       (245*t[53])/16 - (893*t[54])/24 - (53*t[59])/12 - (683*t[60])/24 - 
       (247*t[61])/24 + (295*t[62])/48 - (5081*t[63])/48 + (67*t[64])/16 + 
       (49*t[65])/9 - (199*t[66])/4 + t[69] - 14*t[72] - 3*t[73] + t[74]/3 + 
       7*t[75] - 35*t[76] + 20*t[78] + t[79] - 30*t[80] - (35*t[81])/12 - 
       (85*t[82])/12 - (197*t[83])/6 + (20*t[84])/3 - (713*t[85])/24 - 
       (119*t[86])/3 + (557*t[87])/8 + (1795*t[88])/48 + (1937*t[89])/48 - 
       (8*t[95])/3 - 5*t[97] - 240*t[98] + 240*t[99] + (305*t[100])/2) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((81*t[1])/8 - (2447*t[2])/72 - (4505*t[3])/144 + (1157*t[4])/12 - 
       (355*t[5])/48 - (143*t[6])/96 - (3499*t[7])/72 - (1361*t[8])/18 - 
       74*t[9] + (7033*t[10])/36 + (12337*t[11])/288 - (7813*t[12])/144 + 
       (6791*t[13])/324 + (11285*t[14])/864 + (39529*t[15])/2592 - t[17]/4 - 
       2*t[18] + 2*t[19] + (40*t[20])/9 + t[21] - t[22] - 4*t[23] - 
       t[24]/18 - (59*t[27])/9 + 24*t[28] + (133*t[29])/36 - (25*t[30])/3 - 
       (13*t[31])/3 - (587*t[32])/72 + (323*t[33])/9 - (1145*t[34])/36 - 
       20*t[35] - (39*t[36])/2 - (74*t[37])/9 + (113*t[38])/36 + 
       (145*t[39])/36 - (125*t[40])/18 + (331*t[41])/72 - (259*t[42])/72 - 
       (457*t[43])/36 + (655*t[44])/24 + (91*t[45])/3 - (4*t[46])/3 - 
       (110*t[47])/3 + (971*t[48])/96 + (50*t[49])/9 + (797*t[50])/288 + 
       (25*t[51])/48 + (619*t[52])/288 + (5*t[53])/9 - (793*t[54])/288 - 
       t[55]/2 - t[56] + (479*t[59])/72 + (5897*t[60])/144 + 
       (42163*t[61])/144 - (10343*t[62])/288 + (18263*t[63])/288 - 
       (8037*t[64])/32 - (3947*t[65])/144 - (62185*t[66])/432 - (7*t[68])/2 + 
       6*t[69] + (79*t[70])/9 - (79*t[71])/9 + (37*t[72])/3 + (35*t[73])/2 + 
       (7*t[74])/2 + (85*t[75])/2 - (667*t[76])/36 + (271*t[77])/9 + 
       (1045*t[78])/36 - (157*t[79])/3 - (191*t[80])/3 - (305*t[81])/36 - 
       (517*t[82])/36 - (854*t[83])/9 + (749*t[84])/48 - (12751*t[85])/144 - 
       (955*t[86])/3 + (1277*t[87])/144 + (775*t[88])/96 - (139*t[89])/96 + 
       2*t[93] - (7*t[95])/3 + (187*t[96])/18 + (27*t[97])/4 - 
       (514*t[98])/3 + 188*t[99] + 156*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-27*t[1])/2 - (65*t[2])/4 + 
       (1403*t[3])/8 - 15*t[4] + (165*t[5])/4 - (99*t[6])/2 - 122*t[7] - 
       (789*t[8])/2 - (483*t[9])/4 + (183*t[10])/2 - (411*t[11])/4 - 
       (77*t[12])/2 + (391*t[13])/6 - (1073*t[14])/8 - (4141*t[15])/144 + 
       (9*t[16])/2 - t[17] - 12*t[18] - 4*t[19] - 4*t[20] - 16*t[21] + 
       8*t[22] + 16*t[23] - 11*t[24] + 17*t[25] - 22*t[26] - 8*t[27] + 
       (23*t[29])/2 + 37*t[30] + 4*t[31] - (141*t[32])/2 + 16*t[33] - 
       3*t[34] + 11*t[36] + 11*t[37] + 6*t[38] - 19*t[39] + 34*t[40] - 
       6*t[41] + (83*t[43])/4 + (101*t[44])/4 + (5*t[45])/2 - (41*t[46])/2 - 
       28*t[47] - 64*t[48] - (19*t[49])/4 - 4*t[50] + (195*t[51])/8 - 
       3*t[52] + (119*t[53])/4 + (153*t[54])/4 + 3*t[55] - 3*t[58] + 
       (3*t[59])/2 - (1379*t[60])/4 - (1111*t[61])/4 + (1249*t[62])/4 + 
       (1111*t[63])/4 - (409*t[64])/8 - (1457*t[65])/12 + (1591*t[66])/12 - 
       2*t[67] - 6*t[68] + 2*t[70] - 2*t[71] - 24*t[72] - 3*t[74] - 
       33*t[76] - 10*t[77] + 9*t[78] - 106*t[80] - (17*t[81])/2 + 
       (29*t[82])/2 + 4*t[83] - (99*t[84])/4 - (87*t[85])/2 - 164*t[86] + 
       144*t[87] - 29*t[88] - (81*t[89])/4 - 2*t[92] + 2*t[94] + 22*t[95] + 
       34*t[96] - 13*t[97] - 108*t[98] + 120*t[99] + 162*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u]*(-t[1]/2 - (113*t[2])/2 + 
       (1055*t[3])/8 + (263*t[4])/4 - (529*t[5])/8 - (521*t[6])/4 + 
       (11*t[7])/2 - 356*t[8] + (215*t[9])/8 - (645*t[10])/8 + 172*t[11] + 
       79*t[12] + (328*t[13])/3 - (5863*t[14])/48 - (4211*t[15])/72 - 
       (9*t[16])/2 - 6*t[18] - 4*t[19] - 20*t[20] - 12*t[21] + 12*t[22] + 
       14*t[23] - 13*t[24] + 15*t[25] - 11*t[26] + 2*t[27] - (17*t[29])/2 - 
       t[30] - 8*t[31] - (157*t[32])/2 + 14*t[33] + 35*t[34] - 15*t[36] - 
       11*t[37] - 2*t[38] - 17*t[39] + 55*t[40] - 7*t[41] + 9*t[42] - 
       (7*t[43])/4 - (35*t[44])/4 + (25*t[45])/2 - (3*t[46])/2 - 24*t[47] - 
       (481*t[48])/4 - (81*t[49])/8 - (53*t[50])/4 - (7*t[51])/16 - 
       (227*t[52])/4 - (175*t[53])/8 - (571*t[54])/4 + 2*t[58] - 10*t[59] - 
       98*t[60] - 168*t[61] + (1681*t[62])/8 + (1455*t[63])/8 + 
       (633*t[64])/4 - (361*t[65])/12 - (1901*t[66])/12 + (7*t[67])/2 + 
       12*t[68] + 8*t[69] - 6*t[70] + 6*t[71] + 4*t[72] - 7*t[76] - 
       43*t[77] - 34*t[78] - 32*t[80] + 17*t[81] + 23*t[82] - (103*t[84])/4 + 
       (335*t[85])/4 - 8*t[86] - (9*t[87])/4 - (273*t[88])/8 - 
       (549*t[89])/8 + 4*t[92] - 4*t[94] + 6*t[95] + 6*t[96] - 7*t[97] - 
       108*t[98] + 120*t[99] + 162*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((5*t[1])/2 - (587*t[2])/12 + (605*t[3])/6 - (343*t[4])/12 + 
       (1831*t[5])/24 - (1697*t[6])/48 - (335*t[7])/6 - (911*t[8])/12 - 
       (281*t[9])/3 + (427*t[10])/24 - (95*t[11])/48 + (43*t[12])/2 + 
       (149*t[13])/108 - (1487*t[14])/36 + (313*t[15])/108 - 2*t[20] + 
       2*t[22] + (16*t[24])/3 - (16*t[27])/3 - 6*t[28] - (28*t[29])/3 - 
       (22*t[30])/3 + 10*t[31] - (85*t[32])/3 + (79*t[33])/3 + t[34] + 
       12*t[35] - 12*t[36] - (13*t[37])/3 - (8*t[38])/3 - t[39]/3 - 
       (67*t[40])/6 + t[41]/3 - t[42]/3 + (11*t[43])/6 + (2*t[44])/3 - 
       (116*t[45])/3 - 3*t[46] + 33*t[47] - (205*t[48])/16 + (211*t[49])/8 - 
       (201*t[50])/16 - (445*t[51])/48 + (1675*t[52])/48 - (473*t[53])/24 - 
       (831*t[54])/16 + (49*t[59])/6 - (3097*t[60])/24 - (3095*t[61])/24 + 
       (1343*t[62])/48 + (5081*t[63])/48 + (2321*t[64])/48 - 
       (3737*t[65])/72 + (4229*t[66])/72 + (2*t[70])/3 - (2*t[71])/3 + 
       (8*t[72])/3 - 12*t[73] - t[74] + 12*t[75] + (68*t[76])/3 + 
       (7*t[77])/3 - (196*t[78])/3 + (194*t[80])/3 - (45*t[81])/2 + 
       (121*t[82])/6 + (44*t[83])/3 - (2033*t[84])/24 - (59*t[85])/24 - 
       2*t[86] - (2317*t[87])/24 - (767*t[88])/16 - (3323*t[89])/48 + 
       14*t[95] + (22*t[96])/3 + 9*t[97] + 208*t[98] - 276*t[99] + 
       168*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((11*t[1])/2 - (65*t[2])/12 + (293*t[3])/12 - 
       (105*t[4])/4 + (199*t[5])/8 - (429*t[6])/16 - (103*t[7])/12 - 
       (971*t[8])/12 - (253*t[9])/8 + (13*t[10])/6 - (1979*t[11])/48 - 
       (191*t[12])/12 - (1649*t[13])/108 - (8791*t[14])/144 - 
       (8045*t[15])/432 - t[16]/2 + (2*t[20])/3 + (2*t[24])/3 - 
       (17*t[25])/2 - (5*t[26])/2 + (8*t[27])/3 + (5*t[29])/3 + 8*t[30] + 
       2*t[31] - (11*t[32])/3 - (2*t[33])/3 + (14*t[34])/3 + 4*t[35] + 
       t[36] + (14*t[37])/3 + (28*t[38])/3 - (35*t[39])/6 + (17*t[40])/6 + 
       t[41]/3 - t[42]/3 + (16*t[43])/3 + (9*t[44])/2 - 3*t[45] + 
       (7*t[46])/4 + 3*t[47] - (333*t[48])/16 + (61*t[49])/12 + 
       (617*t[50])/48 + (17*t[51])/4 - (185*t[52])/48 + (103*t[53])/12 - 
       (997*t[54])/48 - (193*t[59])/12 - (2017*t[60])/24 - (619*t[61])/3 + 
       (3907*t[62])/48 + (1529*t[63])/48 + (353*t[64])/4 - (77*t[65])/6 + 
       (1163*t[66])/18 - t[67]/2 + t[68]/2 - 3*t[69] + (5*t[70])/3 - 
       (5*t[71])/3 - 5*t[72] - 5*t[74] + 2*t[75] + (67*t[76])/3 - t[77]/3 - 
       (209*t[78])/6 + 3*t[79] - 11*t[80] - (13*t[81])/12 - (5*t[82])/12 - 
       (28*t[83])/3 - (85*t[84])/4 + (851*t[85])/24 + 7*t[86] - 
       (127*t[87])/24 - (405*t[88])/16 + (39*t[89])/8 + t[90] + 8*t[95] + 
       (13*t[96])/3 - (11*t[97])/2 + 172*t[98] - 244*t[99] + 169*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-5*t[1])/6 + (65*t[2])/4 + (547*t[3])/8 + (97*t[4])/6 + 
       (6173*t[5])/144 - (6647*t[6])/144 - (853*t[7])/24 - (7475*t[8])/72 - 
       (7903*t[9])/144 - (649*t[10])/72 - (2747*t[11])/144 - 
       (4397*t[12])/144 + (3317*t[13])/216 - (271*t[14])/3 - 
       (41885*t[15])/2592 - 2*t[20] + (8*t[24])/3 - (2*t[27])/3 + 
       (151*t[28])/18 - (769*t[29])/72 + (1223*t[30])/72 - (19*t[31])/3 - 
       (449*t[32])/72 + (49*t[33])/24 - (74*t[34])/9 - (56*t[35])/3 - 
       (2*t[37])/3 + 3*t[38] - (2*t[39])/3 + (49*t[40])/6 - (7*t[41])/3 + 
       (7*t[42])/3 - t[43]/3 + (371*t[44])/72 + (71*t[45])/6 - (65*t[47])/6 - 
       (2963*t[48])/144 - (95*t[49])/12 + (7*t[50])/16 + (119*t[51])/24 - 
       (709*t[52])/48 + (21*t[53])/4 - (5279*t[54])/144 - (181*t[59])/36 - 
       (4969*t[60])/72 - (8693*t[61])/72 + (13709*t[62])/144 - 
       (7*t[63])/144 - (1607*t[64])/48 + (7009*t[65])/216 + (313*t[66])/8 - 
       2*t[69] - (8*t[70])/3 + (8*t[71])/3 - 3*t[72] - (5*t[73])/2 + 
       (14*t[74])/9 + (7*t[75])/6 - (107*t[76])/6 - (10*t[77])/3 + 7*t[78] + 
       (5*t[79])/2 - (47*t[80])/3 - (17*t[81])/18 + (161*t[82])/18 - 
       (271*t[83])/18 - (205*t[84])/72 - (349*t[85])/72 - (743*t[86])/18 + 
       (1381*t[87])/24 + (2471*t[88])/144 + (2437*t[89])/144 + (44*t[95])/9 - 
       (4*t[96])/3 - (43*t[97])/6 - 120*t[98] + 120*t[99] + (509*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[w, v, u]*
      ((32*t[1])/3 - (128*t[2])/3 + (268*t[3])/3 + (256*t[4])/3 - 
       (388*t[5])/9 - (1004*t[6])/9 - (1264*t[8])/9 - (940*t[9])/9 + 
       (136*t[10])/9 + (196*t[11])/9 - (692*t[12])/9 + (20*t[13])/3 - 
       (968*t[14])/9 - (3364*t[15])/81 - (544*t[28])/9 - (104*t[29])/9 - 
       (8*t[30])/9 - (64*t[31])/3 - (88*t[32])/9 - 8*t[33] - (800*t[34])/9 - 
       (128*t[35])/3 + (64*t[38])/3 + 32*t[40] + (88*t[44])/9 + 
       (224*t[45])/3 - (160*t[47])/3 - (212*t[48])/9 - (128*t[49])/3 + 
       20*t[50] + 32*t[51] - 84*t[52] + (128*t[53])/3 - (332*t[54])/9 + 
       (32*t[59])/9 - (200*t[60])/9 + (920*t[61])/9 - (556*t[62])/9 - 
       (1564*t[63])/9 - 92*t[64] - (688*t[65])/27 - (272*t[66])/9 - 
       (64*t[72])/3 - 32*t[73] + (128*t[74])/9 - (160*t[75])/3 - 
       (224*t[76])/3 + (128*t[78])/3 + 32*t[79] - 64*t[80] - (160*t[81])/9 - 
       (32*t[82])/9 + (544*t[83])/9 + (448*t[84])/9 - (416*t[85])/9 - 
       (352*t[86])/9 + 96*t[87] + (512*t[88])/9 + (1060*t[89])/9 - 
       (256*t[95])/9 - (32*t[97])/3 - 512*t[98] + 512*t[99] + 
       (512*t[100])/3) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-23*t[1])/4 + (325*t[2])/24 + (643*t[3])/24 - (2027*t[4])/48 + 
       (4121*t[5])/96 + (769*t[6])/96 - (1303*t[7])/24 - (637*t[8])/12 - 
       (3413*t[9])/96 - (4321*t[10])/96 - (11339*t[11])/96 - (615*t[12])/16 - 
       (2207*t[13])/108 - (54835*t[14])/576 - (30439*t[15])/1728 + 3*t[17] + 
       12*t[20] - 12*t[22] + (2*t[24])/3 + (11*t[27])/6 + 7*t[28] + 
       t[29]/12 - (127*t[30])/6 - t[31]/2 - (14*t[32])/3 + (31*t[33])/6 + 
       (5*t[34])/2 - 7*t[35] + 13*t[36] + (29*t[37])/6 - (11*t[38])/6 - 
       (13*t[39])/6 + (25*t[40])/6 - (49*t[41])/12 + (49*t[42])/12 + 
       (11*t[43])/48 - (307*t[44])/24 + (133*t[45])/6 + (17*t[46])/4 - 
       (177*t[47])/4 + (525*t[48])/32 - (485*t[49])/32 + (65*t[50])/32 + 
       (535*t[51])/192 - (275*t[52])/96 + (239*t[53])/96 + (357*t[54])/32 - 
       t[55]/2 - t[56] - t[57] - (19*t[59])/6 - (256*t[60])/3 - 
       (1297*t[61])/6 + (1067*t[62])/6 - (95*t[63])/12 + (73*t[64])/3 + 
       (8867*t[65])/72 + (7009*t[66])/72 - 8*t[68] - (5*t[70])/3 + 
       (5*t[71])/3 + (16*t[72])/3 + 14*t[73] - t[74]/2 - 14*t[75] - 
       (11*t[76])/3 - (19*t[77])/3 + (31*t[78])/3 - 4*t[79] - (259*t[80])/6 + 
       (41*t[81])/4 + (22*t[82])/3 - (49*t[83])/6 + (125*t[84])/6 + 
       (1163*t[85])/24 - (125*t[86])/4 + (1561*t[87])/24 + (415*t[88])/16 + 
       (485*t[89])/12 - t[91]/12 + t[93] - 5*t[95] - (58*t[96])/3 - 
       (27*t[97])/2 - 148*t[98] + 158*t[99] + 183*t[100]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*((7*t[1])/4 - (719*t[2])/24 + 
       (1165*t[3])/48 + (661*t[4])/16 - (1391*t[5])/32 - (1715*t[6])/32 + 
       (49*t[7])/12 - (2015*t[8])/24 - (353*t[9])/32 + (5429*t[10])/96 + 
       (475*t[11])/96 + (323*t[12])/48 - (301*t[13])/108 - 
       (33125*t[14])/576 - (32983*t[15])/1728 - t[17]/4 + 2*t[18] + t[19] + 
       (40*t[20])/3 + t[21] - 10*t[22] - (3*t[23])/2 - (97*t[24])/6 - 
       (8*t[27])/3 - 3*t[28] + (19*t[29])/3 + (33*t[30])/2 - t[31] - 
       (7*t[32])/3 - (10*t[33])/3 - (49*t[34])/6 + t[35] - 13*t[36] + 
       (5*t[37])/6 + (17*t[38])/3 - (35*t[39])/3 + (109*t[40])/6 + 
       (23*t[41])/12 - (11*t[42])/12 + (119*t[43])/48 + (7*t[44])/2 + 
       (73*t[45])/4 - t[46] - t[47] - (453*t[48])/32 + (451*t[49])/96 + 
       (3269*t[50])/96 + (195*t[51])/64 - (5189*t[52])/96 - (707*t[53])/96 - 
       (3931*t[54])/96 - t[55]/4 - t[56] + t[57] - (20*t[59])/3 - 
       (169*t[60])/12 - (1303*t[61])/24 + (1121*t[62])/48 - (3797*t[63])/48 - 
       (1067*t[64])/16 + (863*t[65])/8 + (541*t[66])/72 + (5*t[68])/2 - 
       t[69] - (17*t[70])/3 + (17*t[71])/3 - (3*t[72])/2 + 10*t[73] - 
       (83*t[74])/2 - 7*t[75] - (337*t[76])/12 + (29*t[77])/6 + 
       (445*t[78])/12 + 32*t[79] - (39*t[80])/2 + (59*t[81])/6 - 
       (43*t[82])/3 - (8*t[83])/3 + (29*t[84])/2 - (7*t[85])/3 + 
       (15*t[86])/4 + (277*t[87])/6 + (33*t[88])/2 + (151*t[89])/2 + 
       t[91]/12 + t[93] - 5*t[95] - (7*t[96])/3 - 6*t[97] - 148*t[98] + 
       158*t[99] + 183*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*(10*t[1] - (103*t[2])/6 - (23*t[3])/6 - 
       (89*t[4])/3 - (409*t[5])/24 - (47*t[6])/24 + (191*t[7])/6 + 
       (80*t[8])/3 + (1273*t[9])/24 - (2*t[10])/3 - (553*t[11])/24 + 
       (641*t[12])/24 - (839*t[13])/216 - (160*t[14])/9 - (763*t[15])/48 - 
       t[16]/3 + (13*t[17])/3 - t[18]/3 - 5*t[19] - 3*t[20] + (13*t[21])/3 - 
       t[22] - (7*t[23])/3 - (8*t[24])/3 - 6*t[25] + (10*t[26])/3 + 4*t[27] + 
       (4*t[29])/3 + t[30]/3 + 6*t[31] - (16*t[32])/3 + (5*t[33])/3 + 
       (46*t[34])/3 - (2*t[36])/3 + (16*t[38])/3 - (5*t[39])/3 + 
       (16*t[40])/3 - (5*t[41])/6 + (7*t[42])/6 - (71*t[43])/12 - 
       (8*t[44])/3 - (7*t[45])/6 + 8*t[46] + 10*t[47] - (43*t[48])/24 - 
       (17*t[49])/3 - (43*t[50])/24 + (23*t[51])/12 - (135*t[52])/8 + 
       (17*t[53])/3 - (205*t[54])/24 + 2*t[58] - (25*t[59])/3 + 
       (77*t[60])/12 - (397*t[61])/4 + (317*t[62])/24 - (2521*t[63])/24 + 
       (291*t[64])/8 + (4487*t[65])/36 + (953*t[66])/36 + t[67]/3 - 
       (2*t[68])/3 + 9*t[69] - (29*t[70])/3 + (29*t[71])/3 - 4*t[72] - 
       (14*t[74])/3 + 14*t[76] + (2*t[77])/3 - (40*t[78])/3 + (80*t[80])/3 + 
       t[81] + (17*t[82])/3 + 12*t[83] - (25*t[84])/4 + (265*t[85])/12 + 
       (152*t[86])/3 + (49*t[87])/12 - (5*t[88])/8 + (689*t[89])/8 + 
       2*t[90] + 2*t[92] - 2*t[94] + 64*t[98] - 60*t[99] + 189*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      (4*t[1] + (15*t[2])/2 + (115*t[3])/12 - (31*t[4])/2 + (129*t[5])/8 - 
       (143*t[6])/24 - (109*t[7])/4 - (115*t[8])/4 - (185*t[9])/24 - 
       (75*t[10])/2 - (1229*t[11])/24 - (605*t[12])/24 - (1459*t[13])/216 - 
       (1571*t[14])/36 - (2569*t[15])/144 + t[16]/3 - (8*t[25])/3 - 
       (14*t[26])/3 + t[27]/3 - (8*t[30])/3 + 4*t[31] + (10*t[36])/3 + 
       (13*t[37])/3 + (22*t[38])/3 - (16*t[40])/3 + 2*t[43] - t[44]/3 - 
       (11*t[45])/3 - (10*t[46])/3 + (22*t[47])/3 - (35*t[48])/24 + 
       (127*t[49])/12 + (25*t[50])/24 + (11*t[51])/12 + (199*t[52])/24 - 
       (55*t[53])/12 + (211*t[54])/24 - (19*t[59])/3 - (427*t[60])/12 - 
       (1919*t[61])/12 + (641*t[62])/8 - (1487*t[63])/24 + (1165*t[64])/24 - 
       (329*t[65])/36 - (205*t[66])/12 - 2*t[68] - (16*t[70])/3 + 
       (16*t[71])/3 - 13*t[72] - (8*t[74])/3 + (26*t[76])/3 + (4*t[77])/3 - 
       17*t[78] - (32*t[80])/3 + 2*t[81] + t[82] + 2*t[83] - (19*t[84])/12 + 
       (319*t[85])/12 - (14*t[86])/3 + (47*t[87])/12 - (593*t[88])/24 + 
       (617*t[89])/24 + (16*t[95])/3 + (28*t[96])/3 - (14*t[97])/3 + 
       64*t[98] - 60*t[99] + 189*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Qep[v, u, w]*((32*t[1])/3 - (8*t[2])/3 + 22*t[3] + 80*t[4] - 60*t[5] - 
       (442*t[6])/3 + (340*t[7])/3 - (916*t[8])/3 + (68*t[9])/3 + 24*t[10] + 
       (154*t[11])/3 - 80*t[12] + 14*t[13] - 34*t[14] - (1333*t[15])/27 - 
       (64*t[28])/3 - (136*t[29])/3 - (64*t[31])/3 + (16*t[32])/3 - 
       (16*t[33])/3 - (176*t[34])/3 - (128*t[35])/3 + (64*t[38])/3 + 
       32*t[40] + (88*t[44])/3 + (224*t[45])/3 - (160*t[47])/3 - 
       (314*t[48])/3 - (136*t[49])/3 + (182*t[50])/3 + (100*t[51])/3 - 
       (374*t[52])/3 + (136*t[53])/3 - (202*t[54])/3 - 8*t[59] + 
       (404*t[60])/3 + (412*t[61])/3 - 122*t[62] - 222*t[63] - 226*t[64] - 
       120*t[65] - (1784*t[66])/9 - (64*t[72])/3 - (64*t[73])/3 + 
       (64*t[74])/3 - 64*t[75] - (224*t[76])/3 + (128*t[78])/3 + 
       (64*t[79])/3 - 64*t[80] - (64*t[81])/3 + (128*t[83])/3 + 88*t[84] - 
       (40*t[85])/3 - 64*t[86] + (272*t[87])/3 + 64*t[88] + 90*t[89] - 
       (128*t[95])/3 - (32*t[97])/3 - 512*t[98] + 512*t[99] + 192*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-3*t[1])/2 - 42*t[2] + 171*t[3] + (43*t[4])/4 + (287*t[5])/3 - 
       (215*t[6])/12 - (329*t[7])/2 + (5*t[8])/3 - (2425*t[9])/12 - 
       (709*t[10])/24 - (20*t[11])/3 - (97*t[12])/24 + (313*t[13])/12 - 
       (12973*t[14])/48 - (6245*t[15])/216 - (3*t[17])/2 - (10*t[28])/3 + 
       (136*t[29])/3 + (119*t[30])/6 - (5*t[32])/6 - (3*t[33])/2 - 
       (26*t[34])/3 + 24*t[35] + 3*t[37] - 6*t[39] + 6*t[40] - 3*t[41] + 
       3*t[42] + (3*t[43])/2 - (629*t[44])/12 - 6*t[45] + 9*t[47] + 
       (469*t[48])/12 + (91*t[49])/8 - (271*t[50])/4 - (91*t[51])/16 + 
       (235*t[52])/4 - (91*t[53])/8 - (32*t[54])/3 + 3*t[55] + (2*t[59])/3 - 
       (1927*t[60])/6 - (1607*t[61])/6 + (1801*t[62])/24 + (823*t[63])/24 + 
       (755*t[64])/2 + (1933*t[65])/18 + (643*t[66])/6 + 3*t[68] - 6*t[70] + 
       6*t[71] - 12*t[72] - 54*t[73] - (49*t[74])/3 + 210*t[75] + 12*t[76] - 
       3*t[77] - 18*t[78] + 14*t[79] + 6*t[80] + (29*t[81])/3 + 
       (52*t[82])/3 - (212*t[83])/3 - (254*t[84])/3 - (116*t[85])/3 + 
       (308*t[86])/3 + 113*t[87] + (56*t[88])/3 - (271*t[89])/24 + 
       (98*t[95])/3 + 6*t[96] - 3*t[97] + 72*t[98] - 108*t[99] + 
       194*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((-3*t[1])/2 - 15*t[2] + 143*t[3] + 
       (121*t[4])/4 + (655*t[5])/6 + (127*t[6])/3 - (453*t[7])/2 + 
       (409*t[8])/6 - (1975*t[9])/12 - (979*t[10])/24 - (767*t[11])/12 - 
       (979*t[12])/24 + (221*t[13])/12 - (2429*t[14])/16 - (8801*t[15])/216 - 
       (3*t[17])/2 + 120*t[20] + 12*t[24] - 18*t[27] + (326*t[28])/3 + 
       (22*t[29])/3 - (205*t[30])/6 + 12*t[31] - (137*t[32])/6 + 
       (29*t[33])/2 + (64*t[34])/3 + 3*t[37] + 6*t[39] + 6*t[40] - 6*t[41] + 
       6*t[42] + (3*t[43])/2 - (509*t[44])/12 - 6*t[45] - 9*t[46] + 9*t[47] + 
       (253*t[48])/3 + (241*t[49])/8 - (157*t[50])/2 - (133*t[51])/16 + 
       (139*t[52])/2 - (241*t[53])/8 - (89*t[54])/12 - (28*t[59])/3 - 
       (275*t[60])/3 - (1745*t[61])/6 + (5527*t[62])/24 - (3983*t[63])/24 + 
       (499*t[64])/2 + (2125*t[65])/18 + (277*t[66])/6 + 6*t[68] - 6*t[70] + 
       6*t[71] + 72*t[72] - 54*t[73] - (49*t[74])/3 + 210*t[75] + 12*t[76] - 
       9*t[77] - 18*t[78] - 34*t[79] + 6*t[80] + (38*t[81])/3 - 
       (83*t[82])/3 - (428*t[83])/3 - (92*t[84])/3 - (187*t[85])/6 - 
       (124*t[86])/3 - (5*t[87])/2 - (469*t[88])/12 + (1697*t[89])/24 + 
       3*t[90] + 12*t[93] + (98*t[95])/3 + 6*t[96] - 3*t[97] + 72*t[98] - 
       108*t[99] + 194*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-3*t[1] + (549*t[2])/4 - 36*t[3] - 
       (631*t[4])/4 + (1127*t[5])/8 - (243*t[6])/8 - 226*t[7] + 
       (1299*t[8])/4 - (1019*t[9])/8 + (71*t[10])/8 - (563*t[11])/8 + 
       (115*t[12])/2 + (503*t[13])/24 + (1733*t[14])/48 - (2609*t[15])/48 + 
       3*t[17] + 2*t[21] - 2*t[23] - 12*t[24] - 18*t[28] - 66*t[29] - 
       (135*t[30])/2 - 12*t[32] + 81*t[34] + 2*t[35] + 12*t[36] + 11*t[37] - 
       6*t[38] + 9*t[39] - 18*t[40] + 4*t[41] - 3*t[42] + 12*t[43] - 
       (513*t[44])/4 - 33*t[45] + 37*t[47] - (455*t[48])/8 - (167*t[49])/8 - 
       (1371*t[50])/8 - (61*t[51])/16 + (1539*t[52])/8 + (167*t[53])/8 + 
       (185*t[54])/8 - 35*t[59] + 139*t[60] - (1261*t[61])/4 - 
       (259*t[62])/8 - (877*t[63])/8 + (1925*t[64])/4 - (335*t[65])/4 - 
       (1591*t[66])/4 + t[67] + 6*t[69] - 6*t[70] + 6*t[71] + 6*t[72] + 
       42*t[73] - 9*t[74] - 78*t[75] + 47*t[76] - 63*t[78] + 6*t[79] + 
       66*t[80] + (3*t[81])/2 + (53*t[82])/2 + 120*t[83] - (33*t[84])/4 + 
       (45*t[85])/2 + 122*t[86] + 86*t[87] + (95*t[88])/2 - (155*t[89])/2 - 
       6*t[95] + 3*t[97] + 324*t[98] - 324*t[99] + 198*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*(6*t[1] - (423*t[2])/4 - 
       (199*t[3])/2 + (131*t[4])/4 - (1623*t[5])/8 + (1185*t[6])/8 + 
       (229*t[7])/2 + (981*t[8])/4 + (1749*t[9])/8 + (17*t[10])/8 - 
       (737*t[11])/8 + (223*t[12])/2 - (503*t[13])/24 + (4783*t[14])/48 - 
       (69*t[15])/16 - 30*t[28] + (87*t[29])/2 - (15*t[30])/2 + 48*t[32] - 
       42*t[33] - 51*t[34] + 60*t[35] - 10*t[36] + 3*t[38] + 6*t[39] + 
       (29*t[40])/4 + 3*t[41] - 3*t[42] + 3*t[43] + (81*t[44])/2 - 39*t[45] + 
       t[46] + 84*t[47] + (921*t[48])/8 + (47*t[49])/8 - (35*t[50])/8 - 
       (67*t[51])/16 - (13*t[52])/8 + (49*t[53])/8 + (1403*t[54])/8 + 
       24*t[59] - (381*t[60])/2 + (1051*t[61])/4 + (159*t[62])/4 + 
       (411*t[63])/4 - (873*t[64])/8 + (3113*t[65])/12 + (2987*t[66])/12 + 
       6*t[70] - 6*t[71] + 6*t[72] + 54*t[73] - 57*t[74] - 88*t[75] + 
       42*t[76] + 21*t[77] - 72*t[78] + 26*t[79] + 84*t[80] + (29*t[81])/2 + 
       (19*t[82])/2 + 82*t[83] - (49*t[84])/4 - 14*t[85] - 72*t[86] + 
       (65*t[87])/2 + (83*t[88])/4 + (787*t[89])/4 - 6*t[95] + 18*t[96] + 
       12*t[97] + 324*t[98] - 324*t[99] + 198*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*(33*t[2] - (71*t[3])/2 - 
       29*t[4] - (169*t[5])/4 - (173*t[6])/2 + (281*t[7])/2 - (421*t[8])/2 + 
       (565*t[9])/4 + (75*t[10])/2 + (45*t[11])/2 - (39*t[12])/4 - 
       (149*t[13])/3 + (919*t[14])/12 - (489*t[15])/8 - 2*t[18] - 6*t[20] + 
       6*t[22] - 18*t[28] + 30*t[29] - 24*t[30] + 48*t[32] - 42*t[33] + 
       32*t[35] + 6*t[37] + 3*t[41] - 3*t[42] - 24*t[44] + 6*t[47] - 
       (85*t[48])/2 - 2*t[49] + (109*t[50])/2 + t[51] - (109*t[52])/2 + 
       2*t[53] - (101*t[54])/2 - 35*t[59] + (155*t[60])/2 - (19*t[61])/2 - 
       (317*t[62])/2 + (109*t[63])/2 + (269*t[64])/4 - (550*t[65])/3 - 
       (181*t[66])/3 - 4*t[67] + 30*t[70] - 30*t[71] - 24*t[73] + 24*t[74] + 
       38*t[75] - 22*t[79] - 6*t[80] - 2*t[81] + 2*t[82] + 33*t[83] + 
       (5*t[84])/2 + (19*t[85])/2 + 70*t[86] - (211*t[87])/2 - 
       (211*t[88])/4 - (239*t[89])/4 - 24*t[99] + 210*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*(6*t[3] - (113*t[4])/2 - 
       51*t[5] + (149*t[6])/2 - 198*t[7] + 385*t[8] - 91*t[9] + 
       (111*t[10])/4 - 165*t[11] + (51*t[12])/4 - (217*t[13])/4 + 
       (243*t[14])/8 + (33*t[15])/4 + 8*t[28] + 24*t[29] - 24*t[30] - 
       137*t[44] + 98*t[48] - (79*t[49])/4 - 86*t[50] + (79*t[51])/8 + 
       86*t[52] + (79*t[53])/4 + (239*t[54])/2 + 58*t[60] - 232*t[61] + 
       (635*t[62])/4 - (419*t[63])/4 + 60*t[64] + (124*t[65])/3 + 
       (784*t[66])/3 - 24*t[73] + 32*t[75] - 10*t[79] - 23*t[81] + 23*t[82] + 
       40*t[83] + (7*t[84])/2 - 17*t[85] - 10*t[86] - 75*t[87] - 
       (75*t[88])/2 + 74*t[89] - 24*t[99] + 210*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*(-6*t[1] - (127*t[2])/8 + 
       (125*t[3])/2 - (141*t[4])/8 + (523*t[5])/8 - (227*t[6])/4 - 
       (1581*t[7])/16 - (2093*t[8])/16 - (2223*t[9])/16 + (37*t[10])/8 - 
       (1683*t[11])/16 - (491*t[12])/16 - (5281*t[13])/288 - 
       (2211*t[14])/32 - (3625*t[15])/288 - t[16]/2 + (3*t[17])/2 - 4*t[18] + 
       2*t[20] - 4*t[21] - (3*t[22])/2 + 4*t[23] - 4*t[24] + (23*t[25])/2 + 
       (19*t[27])/2 + 4*t[28] + (3*t[29])/2 + (17*t[30])/2 + t[31] - 
       17*t[32] + 5*t[33] - 4*t[34] - 6*t[35] + 7*t[36] + 12*t[37] - 
       (5*t[38])/2 + t[39]/2 + (25*t[40])/2 - (7*t[41])/2 + (3*t[42])/2 + 
       (169*t[43])/16 - (49*t[44])/4 + (53*t[45])/8 + (17*t[46])/4 - 
       (125*t[47])/4 - (51*t[48])/16 + (21*t[49])/16 - (427*t[50])/16 - 
       (441*t[51])/32 + (227*t[52])/16 - (125*t[53])/16 + (121*t[54])/16 - 
       t[55]/2 - 3*t[58] + (21*t[59])/2 - (945*t[60])/8 - (427*t[61])/2 + 
       (3117*t[62])/16 + (2021*t[63])/16 + (265*t[64])/4 - (343*t[65])/12 + 
       (1535*t[66])/12 - t[67] - 13*t[68] + 2*t[69] + 4*t[70] - 4*t[71] + 
       2*t[75] + (71*t[76])/2 - t[77]/2 - 43*t[78] + 8*t[79] - 27*t[80] + 
       (47*t[81])/4 + (41*t[82])/4 - 3*t[83] - (45*t[84])/2 + (321*t[85])/8 - 
       91*t[86] + (59*t[87])/8 - (285*t[88])/16 + (107*t[89])/8 - t[91]/6 - 
       t[92] + t[94] + 6*t[95] - 2*t[96] - 4*t[97] + 72*t[98] - 128*t[99] + 
       211*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*
      ((-73*t[1])/4 - (115*t[2])/8 + (643*t[3])/8 + (153*t[4])/4 + 
       (147*t[5])/8 - (737*t[6])/16 - (305*t[7])/8 - (957*t[8])/8 - 
       (813*t[9])/8 + (1485*t[10])/16 - (473*t[11])/16 + (439*t[12])/16 + 
       (1715*t[13])/144 - (3787*t[14])/48 - (1223*t[15])/144 + (3*t[16])/2 - 
       (3*t[17])/2 + 2*t[19] + 4*t[20] + 2*t[21] - 2*t[22] - 2*t[23] - 
       10*t[24] + 7*t[25] + 20*t[26] + 6*t[27] + 4*t[28] - (15*t[29])/2 + 
       26*t[30] - 4*t[31] - 7*t[32] + t[33]/2 + 14*t[34] + 8*t[35] - 
       (19*t[36])/2 + t[37] - 13*t[38] - t[39] + (35*t[40])/2 + 
       (65*t[43])/8 + (65*t[44])/4 - (89*t[45])/4 + (7*t[46])/2 + 
       (49*t[47])/2 - (683*t[48])/16 - (45*t[49])/16 - (211*t[50])/16 - 
       (123*t[51])/16 - (261*t[52])/16 - (115*t[53])/16 - (597*t[54])/16 + 
       t[55]/2 - 2*t[57] - 2*t[58] + (7*t[59])/4 - (409*t[60])/8 - 
       (767*t[61])/8 + (805*t[62])/8 + (245*t[63])/8 - (159*t[64])/16 + 
       (187*t[65])/3 + (277*t[66])/2 + t[67] - (3*t[68])/2 + 5*t[69] - 
       6*t[72] - 6*t[73] - (77*t[74])/2 + 18*t[75] - 6*t[76] + (7*t[77])/2 + 
       29*t[78] - 22*t[79] + 36*t[80] + (23*t[81])/2 + 6*t[82] - 
       (11*t[83])/2 - (109*t[84])/4 + 11*t[85] - 39*t[86] + (71*t[87])/2 + 
       (69*t[88])/4 + 35*t[89] - t[94] + t[95] + 2*t[97] + 72*t[98] - 
       128*t[99] + 211*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*((-41*t[1])/12 + 
       (119*t[2])/8 + (4133*t[3])/96 - (173*t[4])/24 + (1183*t[5])/48 - 
       (991*t[6])/32 - (1475*t[7])/48 - (6485*t[8])/48 - (1097*t[9])/48 - 
       (359*t[10])/16 - (2215*t[11])/96 - (1007*t[12])/48 + 
       (11401*t[13])/864 - (5723*t[14])/144 - (2789*t[15])/1728 + t[17]/4 - 
       2*t[20] + 2*t[22] + (4*t[24])/3 - 2*t[25] + t[26] - (10*t[27])/3 + 
       (19*t[28])/2 - (149*t[29])/12 + (29*t[30])/8 - (2*t[31])/3 - 
       (119*t[32])/8 + (169*t[33])/24 + (23*t[34])/4 - (37*t[35])/3 - 
       2*t[36] - (11*t[37])/6 + t[38]/2 - (13*t[39])/3 + (19*t[40])/3 - 
       (25*t[41])/6 + (25*t[42])/6 + (13*t[43])/12 + (457*t[44])/24 - 
       (19*t[45])/3 - t[46]/2 + (22*t[47])/3 - (1331*t[48])/32 - 
       (179*t[49])/48 + (1619*t[50])/96 + (347*t[51])/96 - (577*t[52])/32 - 
       (125*t[53])/48 - (3761*t[54])/96 - t[55]/2 - (157*t[59])/24 + 
       (263*t[60])/16 - (2759*t[61])/16 + (11015*t[62])/96 + (977*t[63])/96 - 
       (9299*t[64])/96 + (1007*t[65])/72 + (105*t[66])/8 - t[68]/2 - 
       2*t[69] - (7*t[70])/3 + (7*t[71])/3 - 10*t[72] + (77*t[73])/6 - 
       (7*t[74])/6 - (31*t[75])/2 - (2*t[76])/3 - (31*t[77])/6 - 
       (7*t[78])/2 - (65*t[79])/6 + (11*t[80])/3 + (11*t[81])/2 - 
       (25*t[82])/2 - (127*t[83])/6 + (139*t[84])/8 + (1007*t[85])/24 - 
       (257*t[86])/6 - (23*t[87])/6 - (275*t[88])/24 + (205*t[89])/96 + 
       (7*t[95])/3 - (32*t[96])/3 - (59*t[97])/6 + 12*t[98] - 70*t[99] + 
       212*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[u, w, v]*
      ((32*t[1])/3 - (56*t[2])/3 - (46*t[3])/3 + (224*t[4])/3 - 
       (1112*t[5])/9 - (862*t[6])/9 + (460*t[7])/3 - (1844*t[8])/9 + 
       (1144*t[9])/9 + (104*t[10])/9 + (134*t[11])/9 - (652*t[12])/9 - 
       (10*t[13])/9 + (26*t[14])/3 - (3833*t[15])/81 - (224*t[28])/9 - 
       (208*t[29])/9 - (136*t[30])/9 - (64*t[31])/3 - (8*t[32])/9 - 
       (8*t[33])/3 - (400*t[34])/9 - (128*t[35])/3 + (64*t[38])/3 + 
       32*t[40] + (32*t[44])/9 + (224*t[45])/3 - (160*t[47])/3 - 
       (886*t[48])/9 - 48*t[49] + 50*t[50] + (104*t[51])/3 - 114*t[52] + 
       48*t[53] - (94*t[54])/9 - (8*t[59])/9 + (2348*t[60])/9 + 
       (1156*t[61])/9 - (1442*t[62])/9 - (3374*t[63])/9 - 298*t[64] - 
       (3800*t[65])/27 - (664*t[66])/3 - (64*t[72])/3 - (32*t[73])/3 + 
       (256*t[74])/9 - (224*t[75])/3 - (224*t[76])/3 + (128*t[78])/3 + 
       (32*t[79])/3 - 64*t[80] - (224*t[81])/9 + (32*t[82])/9 + 
       (224*t[83])/9 + (1208*t[84])/9 + (248*t[85])/9 - (32*t[86])/9 + 
       (80*t[87])/3 + (304*t[88])/9 + (1154*t[89])/9 - (512*t[95])/9 - 
       (32*t[97])/3 - 512*t[98] + 512*t[99] + (640*t[100])/3) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      (18*t[1] - (461*t[2])/12 + (892*t[3])/3 - (283*t[4])/12 + 
       (2881*t[5])/24 - (9869*t[6])/48 + (89*t[7])/12 - (1747*t[8])/6 - 
       (889*t[9])/6 - (5837*t[10])/24 + (10921*t[11])/48 + (51*t[12])/2 + 
       (20119*t[13])/216 - (1763*t[14])/9 - (3074*t[15])/27 - 4*t[16] - 
       2*t[17] + 16*t[18] + 12*t[21] - 12*t[23] + (88*t[24])/3 - 24*t[25] + 
       12*t[26] - (58*t[27])/3 - 10*t[28] - (4*t[29])/3 + (128*t[30])/3 + 
       20*t[31] - (202*t[32])/3 + (97*t[33])/3 + 58*t[34] + 20*t[35] - 
       22*t[36] + (5*t[37])/3 + (34*t[38])/3 + (86*t[39])/3 - (313*t[40])/6 + 
       (35*t[41])/6 + t[42]/6 - (257*t[43])/12 - (10*t[44])/3 - 
       (607*t[45])/6 + 10*t[46] + 105*t[47] - (1709*t[48])/16 + 
       (957*t[49])/8 + (151*t[50])/16 - (2425*t[51])/48 + (2971*t[52])/48 - 
       (1439*t[53])/24 - (3503*t[54])/16 - (109*t[59])/3 - (7669*t[60])/24 - 
       (13055*t[61])/24 + (6755*t[62])/48 + (5093*t[63])/48 + 
       (23201*t[64])/48 - (12377*t[65])/72 - (29287*t[66])/72 + 4*t[67] + 
       16*t[68] - 4*t[69] - (130*t[70])/3 + (130*t[71])/3 + (8*t[72])/3 - 
       20*t[73] - 19*t[74] + 20*t[75] + (317*t[76])/3 - (107*t[77])/3 - 
       (427*t[78])/3 + (290*t[80])/3 + (29*t[81])/2 + (109*t[82])/6 + 
       (80*t[83])/3 - (4361*t[84])/24 + (193*t[85])/24 + 132*t[86] - 
       (5377*t[87])/24 - (3659*t[88])/16 - (7631*t[89])/48 + 6*t[92] - 
       6*t[94] + 50*t[95] + (190*t[96])/3 + 10*t[97] + 1048*t[98] - 
       1236*t[99] + 216*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*(32*t[1] + (709*t[2])/12 + (1471*t[3])/24 - 
       (115*t[4])/4 + (419*t[5])/8 - (5445*t[6])/16 + (1241*t[7])/3 - 
       (5909*t[8])/12 + (733*t[9])/4 - (3359*t[10])/24 + (14827*t[11])/48 + 
       (443*t[12])/6 + (19471*t[13])/108 + (2519*t[14])/36 + 
       (4111*t[15])/432 + 4*t[16] + 6*t[17] + 12*t[18] - (40*t[20])/3 + 
       12*t[21] - 12*t[23] - (4*t[24])/3 - 36*t[25] + 12*t[26] + 
       (50*t[27])/3 - (71*t[29])/6 + 12*t[30] + 8*t[31] - (170*t[32])/3 - 
       (11*t[33])/3 + (68*t[34])/3 + 34*t[36] - (7*t[37])/3 + (70*t[38])/3 + 
       (92*t[39])/3 - (19*t[40])/6 + (203*t[41])/6 - (167*t[42])/6 - 
       (161*t[43])/12 + (109*t[44])/4 - (209*t[45])/2 - 8*t[46] + 195*t[47] - 
       (1043*t[48])/16 + (353*t[49])/24 + (5483*t[50])/48 + (167*t[51])/16 - 
       (5579*t[52])/48 + (1079*t[53])/24 - (9223*t[54])/48 - 6*t[55] - 
       (22*t[59])/3 - (6019*t[60])/24 + (85*t[61])/24 - (12089*t[62])/48 - 
       (6727*t[63])/48 + (575*t[64])/16 + (10529*t[65])/24 - 
       (21991*t[66])/72 - 6*t[67] - 24*t[68] - (142*t[70])/3 + 
       (142*t[71])/3 + 8*t[72] - 20*t[73] - 49*t[74] + 20*t[75] + 
       (307*t[76])/3 - (37*t[77])/3 - (157*t[78])/3 - 40*t[79] + 126*t[80] + 
       (169*t[81])/6 - (49*t[82])/6 + (80*t[83])/3 - (379*t[84])/8 - 
       (859*t[85])/24 + 156*t[86] - (4021*t[87])/24 - (3111*t[88])/16 + 
       (1321*t[89])/16 - 6*t[92] + 6*t[94] + 50*t[95] + (190*t[96])/3 + 
       10*t[97] + 1048*t[98] - 1236*t[99] + 216*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-9*t[1] - (81*t[2])/4 + (795*t[3])/8 - (117*t[4])/2 + (669*t[5])/8 - 
       (867*t[6])/16 - (213*t[7])/4 - (171*t[8])/2 - (381*t[9])/4 - 
       (129*t[10])/4 - (549*t[11])/16 + (297*t[12])/8 - (37*t[13])/2 - 
       (1361*t[14])/16 - (217*t[15])/48 - 3*t[28] + (9*t[29])/2 - 9*t[30] + 
       6*t[31] - 21*t[32] + 6*t[34] + 3*t[35] + 15*t[36] + 9*t[37] - 
       3*t[38] - 6*t[39] + (3*t[40])/2 - (3*t[41])/2 + (3*t[42])/2 + 
       (3*t[43])/2 - (33*t[44])/4 - 24*t[45] - (9*t[46])/2 + 27*t[47] - 
       (201*t[48])/16 - (27*t[49])/4 - (141*t[50])/16 + (3*t[51])/2 + 
       (237*t[52])/16 + (27*t[53])/4 - (579*t[54])/16 + (3*t[59])/2 - 
       (1215*t[60])/8 - (1839*t[61])/8 + (1413*t[62])/16 + (1779*t[63])/16 + 
       (2409*t[64])/16 + (309*t[65])/8 + (1499*t[66])/8 - 6*t[70] + 6*t[71] - 
       3*t[72] - 12*t[73] - 12*t[74] + 6*t[75] + 3*t[76] - 12*t[77] + 
       6*t[78] - 12*t[79] - 21*t[81] + 24*t[82] + 6*t[83] - (399*t[84])/8 - 
       (87*t[85])/8 + 42*t[86] + (195*t[87])/8 - (285*t[88])/16 - 
       (573*t[89])/16 + 18*t[95] + 6*t[96] - 3*t[97] + 72*t[98] - 108*t[99] + 
       216*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-99*t[1])/2 + (163*t[2])/6 - 
       (44*t[3])/3 + (25*t[4])/3 - (329*t[5])/12 + (1823*t[6])/12 - 
       (2059*t[7])/6 + (1765*t[8])/6 - (381*t[9])/4 - (355*t[10])/4 - 
       (2603*t[11])/12 - (9*t[12])/2 - (1267*t[13])/54 - (997*t[14])/36 - 
       (283*t[15])/72 - t[16] + 18*t[25] + (49*t[26])/3 - (22*t[27])/3 + 
       18*t[28] + (56*t[29])/3 - 6*t[30] + 6*t[31] - 8*t[32] + 8*t[33] + 
       (61*t[34])/3 + 16*t[35] - 26*t[36] + (2*t[37])/3 - (133*t[38])/3 - 
       (38*t[39])/3 - (2*t[40])/3 - (61*t[41])/6 + (61*t[42])/6 + 5*t[43] - 
       (134*t[44])/3 - (50*t[45])/3 + 10*t[46] + (76*t[47])/3 + 
       (1025*t[48])/12 - (409*t[49])/12 - (887*t[50])/12 + t[51]/6 + 
       (353*t[52])/4 - (97*t[53])/4 + (1075*t[54])/12 + t[58]/3 + 
       (55*t[59])/6 + (620*t[60])/3 - (611*t[61])/3 + (4055*t[62])/12 - 
       (797*t[63])/12 + (368*t[64])/3 + (277*t[65])/3 + (1117*t[66])/9 - 
       (4*t[68])/3 + 8*t[69] + (8*t[70])/3 - (8*t[71])/3 - 26*t[72] - 
       8*t[73] + 16*t[74] + 88*t[75] - (238*t[76])/3 + (14*t[77])/3 + 
       197*t[78] - 68*t[79] + 26*t[80] + (2*t[81])/3 - (157*t[82])/3 - 
       94*t[83] + 109*t[84] + (341*t[85])/6 - (140*t[86])/3 - (131*t[87])/6 - 
       (35*t[88])/12 + (305*t[89])/4 - 8*t[95] - (170*t[96])/3 - 
       (113*t[97])/3 - 368*t[98] + 368*t[99] + 224*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((35*t[1])/6 + (35*t[2])/3 - (11*t[3])/2 - (253*t[4])/3 + 
       (591*t[5])/4 - (731*t[6])/12 + (81*t[7])/4 + (791*t[8])/12 - 
       (337*t[9])/2 + (121*t[10])/4 - (301*t[11])/2 - (567*t[12])/4 - 
       (41923*t[13])/216 - (967*t[14])/12 - (110*t[15])/9 + (5*t[17])/3 - 
       (4*t[18])/3 - 12*t[19] + 26*t[20] + (52*t[21])/3 + (68*t[22])/3 - 
       (20*t[23])/3 + 8*t[24] + 4*t[25] - (4*t[26])/3 - 4*t[27] + 28*t[28] + 
       (142*t[29])/3 + (154*t[30])/3 - 8*t[31] + (68*t[32])/3 - 
       (46*t[33])/3 - (113*t[34])/3 - 24*t[35] + 8*t[36] + 36*t[37] + 
       (46*t[38])/3 - (70*t[39])/3 + (175*t[40])/3 - (41*t[41])/6 + t[42]/6 + 
       (43*t[43])/12 - 14*t[44] + (85*t[45])/2 + 7*t[46] - 54*t[47] + 
       (721*t[48])/6 - (29*t[49])/2 + (19*t[50])/2 + (41*t[51])/6 - 
       (371*t[52])/6 + (29*t[53])/2 + (181*t[54])/6 + (7*t[56])/3 + 
       (28*t[57])/3 - (2*t[58])/3 - (11*t[59])/3 - (325*t[60])/2 + 
       (225*t[61])/2 - (2119*t[62])/12 - (1099*t[63])/12 + (4129*t[64])/12 + 
       (443*t[65])/9 + (2978*t[66])/9 - (2*t[68])/3 + 4*t[69] + 
       (16*t[70])/3 - (16*t[71])/3 - 10*t[72] + 16*t[73] + 32*t[74] - 
       12*t[75] - (226*t[76])/3 + (26*t[77])/3 + (322*t[78])/3 - 6*t[79] + 
       (28*t[80])/3 - 63*t[81] + (14*t[82])/3 - 4*t[83] + (4*t[84])/3 - 
       (221*t[85])/2 + (752*t[86])/3 + (529*t[87])/2 + (529*t[88])/4 + 
       (1055*t[89])/12 + (2*t[90])/3 - (2*t[92])/3 - (2*t[94])/3 - 
       (32*t[97])/3 - 368*t[98] + 368*t[99] + 224*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-29*t[1])/12 - (71*t[2])/6 + (895*t[3])/24 + (235*t[4])/3 + 
       (391*t[5])/12 + (2251*t[6])/48 - (268*t[7])/3 + (1273*t[8])/12 + 
       (985*t[9])/24 + (1137*t[10])/8 - (2129*t[11])/48 + (691*t[12])/24 - 
       (16405*t[13])/432 + (380*t[14])/9 - (3833*t[15])/108 - (5*t[18])/3 - 
       2*t[19] + 4*t[20] - (2*t[21])/3 + (26*t[22])/3 + (5*t[23])/3 + 
       8*t[24] + (4*t[25])/3 + (8*t[26])/3 - (35*t[27])/3 + 9*t[28] + 
       (55*t[29])/3 + (2*t[30])/3 - 3*t[31] - (67*t[32])/6 + (7*t[33])/3 + 
       (127*t[34])/6 + 22*t[35] - 27*t[36] + 10*t[37] - (65*t[38])/6 + 
       (64*t[39])/3 - (193*t[40])/6 - (11*t[41])/12 - (11*t[42])/12 - 
       (43*t[43])/4 - (231*t[44])/4 - (239*t[45])/6 - (13*t[46])/6 + 
       (76*t[47])/3 + (1065*t[48])/16 + (1607*t[49])/24 - (1275*t[50])/16 - 
       (1585*t[51])/48 + (1779*t[52])/16 - (365*t[53])/8 - (121*t[54])/16 - 
       t[58]/3 + (139*t[59])/12 - (3497*t[60])/24 - (4043*t[61])/24 + 
       (2425*t[62])/48 + (491*t[63])/48 - (1999*t[64])/48 - (4061*t[65])/24 + 
       (8563*t[66])/72 + 2*t[68] + 3*t[69] - (5*t[70])/3 + (5*t[71])/3 + 
       (85*t[72])/3 - 20*t[73] + (26*t[74])/3 + 48*t[75] + (301*t[76])/6 + 
       (17*t[77])/2 - (209*t[78])/3 - 20*t[79] - (119*t[80])/3 + 
       (4*t[81])/3 - (19*t[82])/2 - (29*t[83])/3 - (901*t[84])/8 - 
       (1309*t[85])/24 - (218*t[86])/3 - (2143*t[87])/24 - (3215*t[88])/48 - 
       (1309*t[89])/48 + (68*t[95])/3 + 36*t[96] + (131*t[97])/6 + 
       324*t[98] - 412*t[99] + 234*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(-t[1]/12 - (25*t[2])/6 + 
       (11*t[3])/3 - (925*t[4])/12 + (2509*t[5])/24 - (667*t[6])/16 + 
       (421*t[7])/3 + (671*t[8])/12 + (299*t[9])/6 + (245*t[10])/6 + 
       (1107*t[11])/16 + (2281*t[12])/24 + (251*t[13])/27 + 
       (13981*t[14])/144 + (5347*t[15])/108 + t[17]/3 - (11*t[19])/9 - 
       (20*t[20])/3 + 3*t[21] - 4*t[22] - 3*t[23] - (22*t[24])/3 + 
       (14*t[25])/3 + (11*t[26])/3 - (35*t[27])/3 + 26*t[28] + (22*t[29])/3 - 
       (32*t[30])/3 + 4*t[31] - (7*t[32])/2 - (52*t[33])/3 + (103*t[34])/6 - 
       3*t[35] + (101*t[36])/3 + 6*t[37] - (37*t[38])/3 + (35*t[39])/2 - 
       (83*t[40])/6 + (61*t[41])/12 - (61*t[42])/12 + (15*t[43])/2 - 
       (149*t[44])/6 - (137*t[45])/3 - (43*t[46])/3 + (185*t[47])/3 - 
       (487*t[48])/48 + (74*t[49])/3 - (1651*t[50])/48 - (67*t[51])/8 + 
       (2123*t[52])/48 - (34*t[53])/3 - (2029*t[54])/48 - t[55]/6 + t[58] + 
       (103*t[59])/6 - (251*t[60])/8 + (765*t[61])/8 - (6325*t[62])/48 + 
       (4985*t[63])/48 + (5459*t[64])/48 - (249*t[65])/8 + (113*t[66])/72 - 
       (14*t[68])/3 + 5*t[69] - (13*t[70])/3 + (13*t[71])/3 + 4*t[72] - 
       14*t[73] - (29*t[74])/3 + 20*t[75] + (123*t[76])/2 - (35*t[77])/6 - 
       (365*t[78])/6 - 35*t[79] + 89*t[80] - (44*t[81])/3 + 33*t[82] - 
       (236*t[83])/3 - (731*t[84])/8 - (2417*t[85])/24 + 31*t[86] - 
       (643*t[87])/24 - (1123*t[88])/48 - (2929*t[89])/48 + 20*t[95] + 
       (109*t[96])/3 + 26*t[97] + 324*t[98] - 412*t[99] + 234*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-t[1] + 20*t[2] - (117*t[3])/4 + 21*t[4] - (53*t[5])/8 + 
       (3871*t[6])/48 - (661*t[7])/4 + (709*t[8])/4 - 2*t[9] + 
       (191*t[10])/4 - (5263*t[11])/48 - (161*t[12])/8 + 8*t[13] + 
       (457*t[14])/16 + (1565*t[15])/72 + 43*t[28] + 41*t[29] - 2*t[30] - 
       (17*t[32])/6 + 3*t[33] + t[34] - 12*t[35] - 12*t[36] - t[38]/2 - 
       t[39] + t[40]/2 - t[41]/2 + t[42]/2 - 6*t[43] - (169*t[44])/2 - 
       t[47] + (1055*t[48])/16 + (9*t[49])/4 - (937*t[50])/16 - 
       (11*t[51])/8 + (969*t[52])/16 - (17*t[53])/4 + (1181*t[54])/16 - 
       (31*t[59])/4 + (1091*t[60])/24 - (1357*t[61])/8 + (4141*t[62])/16 - 
       (1021*t[63])/16 - (2433*t[64])/16 - (2855*t[65])/72 + 
       (2975*t[66])/24 + 6*t[72] + 12*t[74] + 40*t[75] - (7*t[76])/2 + 
       11*t[77] + (35*t[78])/2 - 8*t[79] - 26*t[80] + (15*t[81])/2 - 
       (5*t[82])/2 - 38*t[83] + (73*t[84])/8 + (79*t[85])/8 - 212*t[86] - 
       (833*t[87])/8 - (1073*t[88])/16 + (1225*t[89])/16 - 3*t[96] - 
       (5*t[97])/2 - 24*t[98] + 12*t[99] + 237*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      (t[1] - (41*t[2])/6 + (2635*t[3])/24 - (145*t[4])/2 - (63*t[5])/2 - 
       (1071*t[6])/16 + (267*t[7])/4 - (221*t[8])/4 + (369*t[9])/8 + 
       2*t[10] - (497*t[11])/16 + 24*t[12] - (4715*t[13])/72 - 
       (8185*t[14])/144 - (4169*t[15])/72 + 5*t[18] - 18*t[20] + 3*t[22] + 
       18*t[28] + 17*t[29] + t[30]/2 + 28*t[32] - (17*t[33])/2 + 4*t[34] + 
       14*t[35] + 12*t[36] + 3*t[37] + (3*t[38])/2 + t[39] + t[40]/2 + 
       (9*t[41])/2 - (9*t[42])/2 + 6*t[43] + (13*t[44])/2 + (7*t[45])/2 + 
       t[47]/2 - (481*t[48])/16 - (61*t[49])/4 + (239*t[50])/16 + 
       (67*t[51])/8 - (255*t[52])/16 + (61*t[53])/4 - (263*t[54])/16 - 
       (15*t[59])/4 - (449*t[60])/24 - (1133*t[61])/8 - (1693*t[62])/16 - 
       (307*t[63])/16 + (3363*t[64])/16 + (515*t[65])/72 + (6965*t[66])/72 - 
       11*t[69] + 3*t[70] - 3*t[71] + 6*t[72] + 18*t[73] - 24*t[74] + t[75] - 
       3*t[76] - 12*t[77] - (19*t[78])/2 - 22*t[79] + 18*t[80] - 
       (25*t[81])/2 + (29*t[82])/2 + 10*t[83] - (157*t[84])/8 - 
       (53*t[85])/8 + 187*t[86] + (263*t[87])/8 + (23*t[88])/16 - 
       (551*t[89])/16 - t[97]/2 - 24*t[98] + 12*t[99] + 237*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      (4*t[1] + (239*t[2])/12 + (149*t[3])/12 - (44*t[4])/3 + (545*t[5])/24 - 
       (721*t[6])/48 + (7*t[7])/12 - (65*t[8])/6 - (149*t[9])/6 - 
       (145*t[10])/24 - (1747*t[11])/48 - 12*t[12] - (5437*t[13])/216 - 
       (7897*t[14])/144 - (845*t[15])/216 - 2*t[16] - 2*t[20] + 2*t[22] - 
       (4*t[24])/3 - 8*t[25] + t[26] + (13*t[27])/3 - (2*t[29])/3 - 
       (2*t[30])/3 + 2*t[31] + (7*t[32])/3 - (13*t[33])/3 - t[34] - 8*t[35] + 
       3*t[36] + (31*t[37])/3 + (20*t[38])/3 - (11*t[39])/3 + t[40]/6 - 
       (4*t[41])/3 + (4*t[42])/3 + (13*t[43])/6 + (22*t[44])/3 + 
       (14*t[45])/3 - 5*t[47] - (173*t[48])/16 + (3*t[49])/8 + 
       (263*t[50])/16 + (59*t[51])/24 - (709*t[52])/48 + (131*t[53])/24 - 
       (187*t[54])/16 - (25*t[59])/6 - (2147*t[60])/24 - (4219*t[61])/24 + 
       (2611*t[62])/48 - (731*t[63])/48 - (623*t[64])/48 + (3779*t[65])/72 + 
       (6073*t[66])/72 - 2*t[69] - (8*t[70])/3 + (8*t[71])/3 - (35*t[72])/3 + 
       4*t[73] - 2*t[74] - 10*t[75] + (10*t[76])/3 - (16*t[77])/3 - 
       (20*t[78])/3 - (86*t[80])/3 + t[81]/2 + (77*t[82])/6 + (13*t[83])/3 - 
       (193*t[84])/24 + (533*t[85])/24 + 22*t[86] + (1231*t[87])/24 + 
       (245*t[88])/16 + (863*t[89])/48 - (4*t[96])/3 - 5*t[97] + 8*t[98] - 
       52*t[99] + 269*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - w]*((-333*t[2])/2 - 54*t[3] + 63*t[4] - (297*t[5])/4 + 
       (45*t[6])/2 - 387*t[7] + 360*t[8] - (933*t[9])/4 + (189*t[10])/2 - 
       60*t[11] - (711*t[12])/4 - (143*t[13])/6 - (395*t[14])/2 + 
       (311*t[15])/8 + 3*t[17] + 60*t[20] + 72*t[24] - 24*t[28] + 12*t[32] + 
       30*t[33] - 12*t[39] - 24*t[43] - 48*t[44] + 168*t[45] - 192*t[47] + 
       (237*t[48])/2 + (87*t[49])/2 - (99*t[50])/2 - (87*t[51])/4 + 
       (99*t[52])/2 - (87*t[53])/2 + (93*t[54])/2 + 6*t[55] + 24*t[59] - 
       (633*t[60])/2 - 88*t[61] + (309*t[62])/4 + (2319*t[63])/4 + 
       435*t[64] - 110*t[65] - 148*t[66] + 6*t[68] - 24*t[72] + 36*t[74] + 
       72*t[75] + 24*t[76] - 72*t[77] - 24*t[78] + 60*t[79] - 96*t[80] - 
       15*t[81] + 27*t[82] - 51*t[84] - (195*t[85])/2 - 156*t[86] + 
       (375*t[87])/2 + (375*t[88])/4 - 105*t[89] - t[91] + 6*t[93] - 
       720*t[98] + 864*t[99] + 276*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*((129*t[2])/2 + 231*t[3] - 213*t[4] + 
       (123*t[5])/4 - (105*t[6])/2 + 132*t[7] + 45*t[8] - (509*t[9])/4 + 
       (9*t[10])/2 - 27*t[11] + (21*t[12])/4 - (307*t[13])/3 - 146*t[14] + 
       (587*t[15])/8 - 45*t[17] + 60*t[20] + 12*t[24] + 48*t[28] - 18*t[33] - 
       48*t[37] - 12*t[39] + 42*t[41] - 42*t[42] + 24*t[43] + (141*t[48])/2 - 
       (171*t[49])/2 + (45*t[50])/2 + (171*t[51])/4 - (45*t[52])/2 + 
       (171*t[53])/2 + (153*t[54])/2 + 6*t[55] + 30*t[59] - (549*t[60])/2 + 
       72*t[61] + (9*t[62])/4 - (369*t[63])/4 + 258*t[64] + 659*t[65] + 
       485*t[66] + 78*t[68] + 36*t[72] + 72*t[75] - 144*t[76] + 168*t[78] - 
       24*t[79] + 192*t[80] + 51*t[81] + 9*t[82] + 6*t[83] - 12*t[84] - 
       (399*t[85])/2 + 132*t[86] + (735*t[87])/2 + (735*t[88])/4 + 21*t[89] + 
       t[91] + 6*t[93] - 720*t[98] + 864*t[99] + 276*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-19*t[1])/2 - (209*t[2])/4 + (365*t[3])/16 - (485*t[4])/4 + 
       (449*t[5])/8 - (325*t[6])/4 + (197*t[7])/2 - (601*t[8])/4 - 
       (227*t[9])/8 + (385*t[10])/8 - (729*t[11])/8 - (287*t[12])/8 - 
       (23335*t[13])/144 + (493*t[14])/24 + (2703*t[15])/32 + (3*t[18])/2 - 
       12*t[19] + 15*t[20] + 12*t[21] - (3*t[22])/2 - 6*t[23] + 6*t[25] - 
       18*t[28] + (3*t[29])/4 + 15*t[30] + 24*t[32] - (15*t[33])/2 - 
       (51*t[34])/2 + 6*t[35] - 10*t[36] + 12*t[37] - (15*t[38])/4 - 
       24*t[39] + 25*t[40] + (7*t[41])/2 - (13*t[42])/2 + (95*t[43])/4 + 
       (333*t[44])/8 + (177*t[45])/4 - 11*t[46] - (393*t[47])/4 - 
       (117*t[48])/8 + (19*t[49])/4 + (835*t[50])/8 + 5*t[51] - 
       (871*t[52])/8 - (67*t[53])/4 - (35*t[54])/4 + (151*t[59])/8 - 
       (1159*t[60])/8 + (383*t[61])/4 - (39*t[62])/4 + (1851*t[63])/4 - 
       240*t[64] + (2485*t[65])/24 + (8705*t[66])/24 - 6*t[68] - 3*t[69] + 
       6*t[70] - 6*t[71] - 18*t[72] - 42*t[73] - (9*t[74])/2 + 29*t[75] - 
       (129*t[76])/2 + 2*t[77] + (189*t[78])/4 - 10*t[79] - (5*t[80])/2 - 
       62*t[81] + 43*t[82] + 34*t[83] - (179*t[84])/8 - (43*t[85])/2 - 
       68*t[86] + (143*t[87])/2 + (139*t[88])/2 - (433*t[89])/16 - 3*t[95] - 
       24*t[96] - (27*t[97])/4 - 252*t[98] + 234*t[99] + (555*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      (8*t[1] + (103*t[2])/2 + (669*t[3])/16 - (25*t[4])/2 + (2023*t[5])/16 + 
       (541*t[6])/16 - (1397*t[7])/8 + (1293*t[8])/8 - (3981*t[9])/16 - 
       (565*t[10])/8 + (55*t[11])/16 - (1629*t[12])/16 + (2099*t[13])/48 - 
       (5645*t[14])/48 + (643*t[15])/12 - (3*t[17])/2 - 10*t[19] - 4*t[21] - 
       3*t[22] + 4*t[23] + 6*t[24] - 3*t[25] + 12*t[28] - (21*t[29])/4 - 
       6*t[30] - 24*t[32] + (87*t[33])/2 - (63*t[34])/2 - 55*t[35] - 
       (5*t[37])/2 + (21*t[38])/4 - (21*t[39])/2 + 9*t[40] - (23*t[41])/4 + 
       (17*t[42])/4 + (21*t[43])/2 - (351*t[44])/8 + 36*t[45] - 
       (55*t[47])/2 + (593*t[48])/16 - (33*t[49])/8 - (1047*t[50])/16 + 
       (181*t[51])/16 + (1047*t[52])/16 - (27*t[53])/8 + (377*t[54])/16 - 
       (41*t[59])/8 - (113*t[60])/4 - (753*t[61])/8 - (179*t[62])/8 - 
       (2431*t[63])/8 + (3839*t[64])/16 - (563*t[65])/24 - (453*t[66])/4 - 
       t[67]/2 + 6*t[68] - 6*t[69] + 12*t[70] - 12*t[71] - 6*t[72] - 
       6*t[73] + (93*t[74])/2 + 9*t[75] - (261*t[76])/4 + (21*t[77])/2 + 
       (303*t[78])/4 - (117*t[79])/2 - 18*t[80] - (163*t[81])/4 - 
       (125*t[82])/4 - (15*t[84])/8 + 4*t[85] + (181*t[86])/2 - t[87] + 
       31*t[88] + (899*t[89])/8 - 3*t[95] - (27*t[96])/2 - (27*t[97])/4 - 
       252*t[98] + 234*t[99] + (555*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      ((-29*t[1])/2 - (359*t[2])/8 + (315*t[3])/2 - (213*t[4])/4 + 
       (1039*t[5])/8 - (377*t[6])/4 - 221*t[7] - (1079*t[8])/4 - 
       (2221*t[9])/8 - (253*t[10])/8 - (907*t[11])/4 - (453*t[12])/8 - 
       (383*t[13])/9 - (2381*t[14])/12 - (6065*t[15])/144 - t[16]/2 + 
       (3*t[17])/2 - 6*t[18] + 5*t[20] - 6*t[21] - 6*t[22] + 6*t[23] - 
       2*t[24] + 19*t[25] - 10*t[26] + 16*t[27] + 16*t[28] + (13*t[29])/2 + 
       27*t[30] - t[31] - 50*t[32] + (29*t[33])/2 - 6*t[34] - 18*t[35] + 
       27*t[36] + 20*t[37] - 6*t[38] - 9*t[39] + (65*t[40])/2 - 5*t[41] + 
       2*t[42] + (75*t[43])/8 - (79*t[44])/4 + (5*t[45])/4 + 7*t[46] - 
       34*t[47] + (59*t[48])/4 - (23*t[49])/8 - (235*t[50])/4 - 
       (85*t[51])/4 + (111*t[52])/4 - (105*t[53])/8 + 28*t[54] - t[55]/2 - 
       6*t[58] + (45*t[59])/2 - (2611*t[60])/8 - 341*t[61] + 
       (6877*t[62])/16 + (6017*t[63])/16 + (1773*t[64])/8 + (547*t[65])/4 + 
       (1001*t[66])/3 - t[67] - 15*t[68] + 6*t[69] + 12*t[72] + 16*t[73] - 
       5*t[74] - 10*t[75] + 54*t[76] - 10*t[77] - 56*t[78] + 16*t[79] - 
       36*t[80] + (187*t[81])/4 + (159*t[82])/4 - 15*t[83] - (175*t[84])/4 + 
       (541*t[85])/8 - 193*t[86] + (643*t[87])/8 - (309*t[88])/16 + 
       (35*t[89])/4 - t[91]/6 - t[92] + 2*t[93] + t[94] + 18*t[95] - 
       6*t[96] - 15*t[97] + 96*t[98] - 60*t[99] + 281*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*
      (-41*t[1] - (267*t[2])/8 + (1179*t[3])/8 + (1121*t[4])/8 + 
       (619*t[5])/16 - (1191*t[6])/8 - (1145*t[7])/8 - (2461*t[8])/8 - 
       (3795*t[9])/16 + (3523*t[10])/16 - t[11]/8 + 22*t[12] + 
       (3607*t[13])/48 - (12089*t[14])/96 - (5671*t[15])/288 + (7*t[16])/2 - 
       t[17]/2 + 7*t[19] + 32*t[20] + 6*t[21] - 26*t[22] - 6*t[23] - 
       18*t[24] + 19*t[25] + (49*t[26])/2 - 2*t[27] + 16*t[28] - 
       (45*t[29])/2 + 80*t[30] - 8*t[31] - 29*t[32] + (21*t[33])/2 + 
       42*t[34] + 8*t[35] - 25*t[36] - 7*t[37] - 28*t[38] - (33*t[39])/2 + 
       48*t[40] + (147*t[43])/8 + (125*t[44])/4 - (39*t[45])/4 - 3*t[46] + 
       (15*t[47])/2 - (347*t[48])/4 + (307*t[49])/16 - (37*t[50])/4 - 
       (609*t[51])/32 - (251*t[52])/4 - (515*t[53])/16 - (773*t[54])/8 + 
       t[55]/2 - 2*t[56] - 6*t[57] - (9*t[58])/2 - (5*t[59])/2 - 
       (349*t[60])/4 - (395*t[61])/8 + (1493*t[62])/8 + (765*t[63])/4 - 
       (1477*t[64])/16 + (2285*t[65])/24 + (677*t[66])/24 + t[67] - t[68] + 
       15*t[69] - 6*t[70] + 6*t[71] - 7*t[72] - 2*t[73] - 87*t[74] + 
       38*t[75] - (27*t[76])/2 + 8*t[77] + 85*t[78] - 18*t[79] + 71*t[80] + 
       (215*t[81])/4 - (53*t[82])/4 - (33*t[83])/2 - (377*t[84])/8 - 
       (39*t[85])/4 - 175*t[86] + (469*t[87])/4 + (225*t[88])/8 + 
       (539*t[89])/16 + 4*t[93] - t[94] + 10*t[95] + 6*t[96] - t[97] + 
       96*t[98] - 60*t[99] + 281*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-3*t[1])/2 - (57*t[2])/2 + (321*t[3])/2 - 
       39*t[4] + (441*t[5])/4 - (1563*t[6])/16 - (201*t[7])/4 - 
       (387*t[8])/2 - (1377*t[9])/8 - (111*t[10])/4 - (681*t[11])/16 - 
       (21*t[12])/2 - (281*t[13])/8 - (2301*t[14])/16 + (17*t[15])/48 + 
       6*t[24] - 9*t[28] + 6*t[29] + 15*t[30] + 6*t[31] - 36*t[32] + 
       15*t[33] + 9*t[35] - 9*t[36] - 3*t[37] - 15*t[39] + 18*t[40] - 
       (3*t[41])/2 + (3*t[42])/2 + 3*t[43] - 3*t[44] - (39*t[45])/2 - 
       (9*t[46])/2 + (21*t[47])/2 - (549*t[48])/16 + (27*t[49])/2 + 
       (255*t[50])/16 - (27*t[51])/8 - (303*t[52])/16 - (27*t[53])/2 - 
       (1227*t[54])/16 - (9*t[59])/4 - (2139*t[60])/8 - (1845*t[61])/8 + 
       (2235*t[62])/16 + (3909*t[63])/16 + (1647*t[64])/16 - (77*t[65])/8 + 
       (1965*t[66])/8 - 6*t[70] + 6*t[71] - 3*t[72] - 12*t[73] - 6*t[74] + 
       6*t[75] - (27*t[76])/2 - 6*t[77] - 30*t[78] + 12*t[79] + 39*t[80] - 
       (75*t[81])/2 + (93*t[82])/2 - (645*t[84])/8 - (129*t[85])/8 + 
       (117*t[87])/8 - (363*t[88])/16 - (1233*t[89])/16 + 18*t[95] + 
       6*t[96] - (9*t[97])/2 - 36*t[99] + 288*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-3*t[1])/2 - 78*t[2] + (999*t[3])/16 - (29*t[4])/2 + (151*t[5])/4 - 
       (723*t[6])/16 - (219*t[7])/4 + (33*t[8])/2 - (951*t[9])/8 + 
       (179*t[10])/4 - (775*t[11])/16 + (83*t[12])/8 - (5225*t[13])/144 - 
       72*t[14] - (2695*t[15])/288 - 5*t[18] + 2*t[20] - 3*t[22] + 2*t[23] + 
       2*t[24] - 4*t[27] - 24*t[28] - (19*t[29])/4 - (5*t[30])/2 + 6*t[31] - 
       (17*t[32])/4 - (19*t[33])/2 - 22*t[34] + 7*t[35] + 9*t[36] + 
       11*t[37] + (13*t[38])/4 + t[39]/2 + 4*t[40] + 4*t[41] - 4*t[42] - 
       t[43]/2 - (141*t[44])/8 + (3*t[45])/4 - 3*t[46] + (51*t[47])/4 + 
       (73*t[48])/16 + (15*t[49])/8 - (499*t[50])/16 - t[51]/16 + 
       (331*t[52])/16 + (49*t[53])/8 - (235*t[54])/16 + (107*t[59])/8 - 
       (927*t[60])/8 - (1285*t[61])/8 + (43*t[62])/8 + (351*t[63])/8 + 
       (2823*t[64])/16 - (349*t[65])/12 + (2417*t[66])/12 + (5*t[67])/4 + 
       9*t[69] - 16*t[70] + 16*t[71] - 12*t[72] - 52*t[73] - 28*t[74] + 
       76*t[75] - 2*t[76] - t[77] - (49*t[78])/4 - 32*t[79] - (21*t[80])/2 - 
       (95*t[81])/4 + (29*t[82])/4 + (57*t[83])/2 - (123*t[84])/2 - 
       (177*t[85])/4 + 14*t[86] + 61*t[87] + 6*t[88] + (473*t[89])/8 + 
       9*t[95] + 16*t[96] + (27*t[97])/4 + 12*t[98] - 48*t[99] + 
       312*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*(7*t[1] + (251*t[2])/12 - (181*t[3])/24 - 
       22*t[4] + (289*t[5])/8 + (77*t[6])/16 - (73*t[7])/6 + (539*t[8])/12 - 
       (65*t[9])/4 + (71*t[10])/24 - (3307*t[11])/48 - (85*t[12])/3 - 
       (1069*t[13])/27 - (7253*t[14])/144 - (2605*t[15])/432 - 2*t[16] - 
       (2*t[20])/3 - (2*t[24])/3 - 8*t[25] + t[26] + (13*t[27])/3 - 2*t[28] - 
       (13*t[29])/6 + 6*t[30] + 2*t[31] + (38*t[32])/3 - (7*t[33])/3 + 
       t[34]/3 + 4*t[35] - 5*t[36] + (25*t[37])/3 + (20*t[38])/3 - 
       (14*t[39])/3 - (11*t[40])/6 - (4*t[41])/3 + (4*t[42])/3 + 
       (19*t[43])/6 + (23*t[44])/4 + 4*t[45] - 5*t[47] - (33*t[48])/16 + 
       (145*t[49])/24 + (577*t[50])/48 + (13*t[51])/8 - (241*t[52])/48 - 
       (77*t[53])/24 + (151*t[54])/48 - (31*t[59])/6 - (365*t[60])/24 - 
       (4783*t[61])/24 + (2603*t[62])/48 - (5315*t[63])/48 - (293*t[64])/16 + 
       (1111*t[65])/24 + (6679*t[66])/72 + (4*t[70])/3 - (4*t[71])/3 - 
       7*t[72] + 4*t[73] - 2*t[74] - 6*t[75] + (5*t[76])/3 - (2*t[77])/3 - 
       (38*t[78])/3 + 8*t[79] - 14*t[80] - (17*t[81])/3 + (41*t[82])/3 + 
       (4*t[83])/3 + (19*t[84])/8 + (961*t[85])/24 + 22*t[86] + 
       (799*t[87])/24 + (389*t[88])/16 + (571*t[89])/16 - 4*t[95] - 
       (16*t[96])/3 - 3*t[97] + 8*t[98] - 76*t[99] + 329*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-47*t[2])/6 + (535*t[3])/12 - (173*t[4])/4 + (99*t[5])/2 - 
       (437*t[6])/8 - (25*t[7])/24 - (1553*t[8])/24 - (321*t[9])/8 + 
       (181*t[10])/12 - (415*t[11])/12 + (199*t[12])/24 + (5195*t[13])/432 - 
       (13169*t[14])/144 - (5731*t[15])/432 + 2*t[16] + (7*t[17])/2 + 
       5*t[18] - 3*t[19] + (13*t[20])/3 + 5*t[21] - t[22] - 6*t[23] + 
       (7*t[24])/3 - 4*t[25] + 4*t[26] + (10*t[27])/3 - (2*t[29])/3 + 
       4*t[30] - 2*t[31] - (22*t[32])/3 + (11*t[33])/3 + t[34]/3 - 2*t[35] + 
       2*t[36] + (4*t[37])/3 + (5*t[38])/3 - (8*t[39])/3 - t[40]/3 + 
       (31*t[41])/6 - (25*t[42])/6 + (37*t[43])/24 + 10*t[44] - 
       (15*t[45])/4 + (13*t[46])/2 + (19*t[47])/2 - (23*t[48])/4 - 
       (275*t[49])/24 + (55*t[50])/12 + (23*t[51])/16 - (55*t[52])/12 + 
       (307*t[53])/24 - (86*t[54])/3 + t[58] - (20*t[59])/3 - 
       (1369*t[60])/12 - (1273*t[61])/6 + (763*t[62])/24 - (1891*t[63])/24 + 
       116*t[64] + (278*t[65])/3 + (740*t[66])/9 - 2*t[67] - (15*t[68])/2 - 
       7*t[69] - (17*t[70])/3 + (17*t[71])/3 - 10*t[72] - 6*t[74] + 
       (44*t[76])/3 + (16*t[77])/3 - (92*t[78])/3 + 42*t[80] - (61*t[81])/6 + 
       (127*t[82])/6 - (20*t[83])/3 - (67*t[84])/2 + (83*t[85])/12 + 
       29*t[86] + (629*t[87])/12 + (111*t[88])/8 + (233*t[89])/4 - t[90]/2 + 
       4*t[95] + (14*t[96])/3 + 80*t[98] - 136*t[99] + 341*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v]*(21*t[1] - (325*t[2])/4 + 
       (1631*t[3])/4 + (187*t[4])/4 + (1709*t[5])/8 - (4555*t[6])/16 - 
       (25*t[7])/2 - (1921*t[8])/4 - (503*t[9])/2 + (617*t[10])/8 + 
       (2819*t[11])/16 - (15*t[12])/2 + (3391*t[13])/36 - (1283*t[14])/6 - 
       (3629*t[15])/72 + 20*t[24] - 12*t[25] - 8*t[27] - 18*t[28] + 
       19*t[29] + 46*t[30] + 12*t[31] - 113*t[32] + 23*t[33] + 36*t[34] + 
       36*t[35] - 36*t[36] - 5*t[37] + 8*t[38] + 10*t[39] + t[40]/2 + 
       (7*t[41])/2 - (7*t[42])/2 + (7*t[43])/2 - (43*t[44])/2 - 97*t[45] - 
       9*t[46] + 90*t[47] - (2085*t[48])/16 + (783*t[49])/8 - 
       (177*t[50])/16 - (635*t[51])/16 + (305*t[52])/16 - (463*t[53])/8 - 
       (4527*t[54])/16 - 11*t[59] - (4475*t[60])/8 - (2737*t[61])/8 + 
       (13*t[62])/16 + (6475*t[63])/16 + (6655*t[64])/16 - (7663*t[65])/24 - 
       (569*t[66])/24 - 26*t[70] + 26*t[71] + 16*t[72] - 36*t[73] - 
       15*t[74] + 36*t[75] + 97*t[76] - t[77] - 185*t[78] + 178*t[80] - 
       (63*t[81])/2 + (131*t[82])/2 + 40*t[83] - (2287*t[84])/8 - 
       (529*t[85])/8 + 54*t[86] - (1103*t[87])/8 - (3279*t[88])/16 - 
       (3889*t[89])/16 + 66*t[95] + 86*t[96] + 18*t[97] + 744*t[98] - 
       828*t[99] + 360*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 
       1 - v]*(-3*t[1] - (415*t[2])/4 + (2831*t[3])/8 + (249*t[4])/4 + 
       (1329*t[5])/8 - (5457*t[6])/16 + (1039*t[7])/4 - (1751*t[8])/2 - 
       (189*t[9])/4 - (37*t[10])/8 + (4313*t[11])/16 + 68*t[12] + 
       (5287*t[13])/72 - (1433*t[14])/12 - (1909*t[15])/144 - 8*t[20] - 
       8*t[24] - 12*t[25] - 8*t[27] + (5*t[29])/2 + 6*t[30] + 12*t[31] - 
       85*t[32] - 13*t[33] + 10*t[34] + 36*t[36] + 19*t[37] + 8*t[38] + 
       28*t[39] - (17*t[40])/2 + (7*t[41])/2 - (7*t[42])/2 + (7*t[43])/2 + 
       (171*t[44])/4 - 87*t[45] - 9*t[46] + 108*t[47] - (2715*t[48])/16 + 
       (397*t[49])/8 + (1345*t[50])/16 - (393*t[51])/16 - (1345*t[52])/16 + 
       (19*t[53])/8 - (4781*t[54])/16 + 10*t[59] - (4973*t[60])/8 - 
       (1069*t[61])/8 - (2263*t[62])/16 + (9367*t[63])/16 + (2379*t[64])/16 - 
       (1185*t[65])/8 + (319*t[66])/24 - 26*t[70] + 26*t[71] - 12*t[72] - 
       36*t[73] - 33*t[74] + 36*t[75] + 107*t[76] - 11*t[77] - 167*t[78] - 
       72*t[79] + 42*t[80] - (61*t[81])/2 + (61*t[82])/2 + 40*t[83] - 
       (1935*t[84])/8 - (629*t[85])/8 + 30*t[86] - (587*t[87])/8 - 
       (2571*t[88])/16 - (3747*t[89])/16 + 66*t[95] + 86*t[96] + 18*t[97] + 
       744*t[98] - 828*t[99] + 360*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-13*t[1])/8 - 
       (673*t[2])/36 + (9847*t[3])/72 - (12001*t[4])/72 + (4883*t[5])/72 - 
       (17113*t[6])/144 + (1013*t[7])/18 - (6655*t[8])/36 - (2587*t[9])/36 - 
       (6065*t[10])/144 - (13219*t[11])/144 + (2773*t[12])/48 - 
       (45293*t[13])/324 - (127745*t[14])/864 - (31171*t[15])/1296 + 
       3*t[20] + 4*t[23] + (59*t[24])/9 - t[27]/18 - 5*t[28] - 
       (323*t[29])/36 + (59*t[30])/18 + (19*t[31])/3 - (3307*t[32])/72 + 
       (451*t[33])/18 + (257*t[34])/12 - 6*t[35] + (41*t[36])/6 - 
       (5*t[37])/9 - (49*t[38])/9 + (28*t[39])/9 - (383*t[40])/72 - 
       (71*t[41])/72 + (71*t[42])/72 + (361*t[43])/72 + (1067*t[44])/72 - 
       (1831*t[45])/36 - (17*t[46])/6 + 59*t[47] - (1799*t[48])/48 - 
       (49*t[49])/48 + (1181*t[50])/48 - (97*t[51])/288 - (1339*t[52])/144 + 
       (595*t[53])/144 - (2395*t[54])/48 - (17*t[59])/36 - (15169*t[60])/36 - 
       (18805*t[61])/72 - (1421*t[62])/36 + (2506*t[63])/9 + (4105*t[64])/9 + 
       (2963*t[65])/216 + (33671*t[66])/108 + 4*t[68] + t[69] - 
       (32*t[70])/9 + (32*t[71])/9 + (7*t[72])/9 + (5*t[73])/3 + 
       (7*t[74])/2 - (59*t[75])/3 - (131*t[76])/36 - (304*t[77])/9 - 
       (500*t[78])/9 + 28*t[79] + (1589*t[80])/18 - (160*t[81])/3 + 
       (2995*t[82])/36 + (1187*t[83])/18 - (9595*t[84])/72 - (655*t[85])/18 + 
       (812*t[86])/3 + (4039*t[87])/72 + t[88]/48 - (12497*t[89])/72 + 
       (50*t[95])/3 + (56*t[96])/9 + (9*t[97])/2 + (170*t[98])/3 - 78*t[99] + 
       384*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-3*t[1])/2 + (19*t[2])/4 - (41*t[3])/2 - 
       (287*t[4])/8 + (351*t[5])/16 - (211*t[6])/16 - (195*t[7])/4 - 
       (207*t[8])/4 - (523*t[9])/16 + (283*t[10])/16 - (1823*t[11])/16 - 
       (91*t[12])/4 - (1261*t[13])/72 - (8275*t[14])/96 - (641*t[15])/32 + 
       7*t[17] + 22*t[20] - 12*t[22] + 2*t[27] + 12*t[28] - (5*t[29])/2 - 
       4*t[30] + 2*t[31] + 8*t[32] + 5*t[33] - 9*t[34] - 6*t[35] + 8*t[36] + 
       11*t[37] + 2*t[38] - 6*t[39] + 11*t[40] - 2*t[41] + 2*t[42] + 
       (5*t[43])/8 - (3*t[44])/4 + (67*t[45])/2 + 2*t[46] - 35*t[47] + 
       (275*t[48])/16 - (239*t[49])/16 + (135*t[50])/16 + (275*t[51])/32 - 
       (279*t[52])/16 + (111*t[53])/16 + (347*t[54])/16 - t[55] - t[56] + 
       2*t[57] - t[59]/2 - 71*t[60] - (315*t[61])/2 + (301*t[62])/4 - 
       (115*t[63])/4 + (155*t[64])/4 + (399*t[65])/4 + (893*t[66])/12 - 
       14*t[68] + 2*t[70] - 2*t[71] + 14*t[72] - 4*t[73] + t[74] + 8*t[75] - 
       8*t[76] + 3*t[77] + 16*t[78] - 4*t[79] - 53*t[80] - (27*t[81])/2 + 
       (27*t[82])/2 - 10*t[83] + 15*t[84] + (57*t[85])/4 - (93*t[86])/2 + 
       (323*t[87])/4 + (395*t[88])/8 + 77*t[89] - t[91]/6 + 2*t[93] - 
       6*t[95] - 16*t[96] - 9*t[97] - 144*t[98] + 60*t[99] + 388*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-3*t[1])/2 - (33*t[2])/4 + (409*t[3])/8 - (471*t[4])/8 + 
       (763*t[5])/16 - (197*t[6])/16 - 62*t[7] - (63*t[8])/2 - 
       (1323*t[9])/16 + (555*t[10])/16 - (1829*t[11])/16 + (29*t[12])/4 - 
       (743*t[13])/12 - (11231*t[14])/96 - (1009*t[15])/96 - t[17] + 
       2*t[18] + 2*t[20] - 10*t[22] - 20*t[24] - 8*t[28] + 3*t[29] + 
       14*t[30] + 2*t[31] + 2*t[32] - t[33] - 5*t[34] + 4*t[35] - 8*t[36] + 
       3*t[37] + 2*t[38] - 16*t[39] + 11*t[40] - 4*t[41] + 5*t[42] + 
       (45*t[43])/8 + (3*t[44])/2 - t[45]/2 - t[46] + 8*t[47] - 
       (143*t[48])/16 - (135*t[49])/16 + (173*t[50])/16 + (267*t[51])/32 - 
       (253*t[52])/16 + (7*t[53])/16 + (177*t[54])/16 + t[55] - t[56] + 
       2*t[57] - (11*t[59])/2 - (443*t[60])/4 - 231*t[61] + (199*t[62])/2 - 
       (165*t[63])/2 + (97*t[64])/2 + (621*t[65])/4 + (2759*t[66])/12 + 
       2*t[68] - 2*t[70] + 2*t[71] - 4*t[73] - 25*t[74] + 12*t[75] - 
       47*t[76] - t[77] + 44*t[78] + 12*t[79] - 19*t[80] - (35*t[81])/2 + 
       (43*t[82])/2 - 3*t[84] + (23*t[85])/4 + (63*t[86])/2 + (365*t[87])/4 + 
       (437*t[88])/8 + (431*t[89])/8 + t[91]/6 - 6*t[95] - 14*t[96] - 
       9*t[97] - 144*t[98] + 60*t[99] + 388*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      (3*t[1] - (155*t[2])/6 + (98*t[3])/3 - (695*t[4])/12 + (1403*t[5])/24 - 
       (341*t[6])/24 - (1237*t[7])/24 + (133*t[8])/24 - (172*t[9])/3 - 
       (19*t[10])/6 - (545*t[11])/6 - (5*t[12])/4 + (4699*t[13])/432 - 
       (14791*t[14])/144 - (3515*t[15])/216 + 2*t[16] + 4*t[17] - 3*t[18] - 
       3*t[19] + 3*t[20] + 5*t[21] - t[22] - 3*t[23] + (2*t[24])/3 - 
       4*t[25] + 4*t[26] + (10*t[27])/3 + 4*t[28] - (20*t[29])/3 - 
       (11*t[30])/3 + 14*t[31] + (4*t[32])/3 + (29*t[33])/3 - 3*t[34] - 
       2*t[35] + 2*t[36] - (2*t[37])/3 + (5*t[38])/3 - (8*t[39])/3 - 
       (7*t[40])/3 + (31*t[41])/6 - (25*t[42])/6 + (61*t[43])/24 + t[44]/3 - 
       (37*t[45])/12 + (13*t[46])/2 + (19*t[47])/2 + (33*t[48])/4 - 
       (93*t[49])/8 - (95*t[50])/4 + (121*t[51])/48 + (233*t[52])/12 + 
       (311*t[53])/24 + t[54] + t[58] + (13*t[59])/3 - (1027*t[60])/12 - 
       (3281*t[61])/12 + (1403*t[62])/24 - (3751*t[63])/24 + 
       (3395*t[64])/24 + (3391*t[65])/36 + (4283*t[66])/36 - 2*t[67] - 
       8*t[68] + 9*t[69] - (5*t[70])/3 + (5*t[71])/3 - (20*t[72])/3 - 
       4*t[74] + 4*t[75] + (43*t[76])/3 + (26*t[77])/3 - (110*t[78])/3 + 
       (154*t[80])/3 - 15*t[81] + (61*t[82])/3 - (32*t[83])/3 - 
       (443*t[84])/12 + (259*t[85])/12 + 25*t[86] + (479*t[87])/12 + 
       (205*t[88])/8 + (2179*t[89])/24 + (2*t[96])/3 + 2*t[97] + 80*t[98] - 
       160*t[99] + 401*t[100]) + HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u]*
      ((37*t[1])/2 - 24*t[2] - 195*t[3] + 45*t[4] - (273*t[5])/4 - 
       (293*t[6])/4 + (251*t[7])/2 - (251*t[8])/2 + (717*t[9])/4 + 
       (947*t[10])/2 - (37*t[11])/4 + (615*t[12])/4 + (6515*t[13])/36 + 
       (231*t[14])/2 + (901*t[15])/24 + 8*t[16] + 4*t[17] - 8*t[24] + 
       36*t[27] - 32*t[29] - 40*t[30] - 12*t[33] - 12*t[34] + 16*t[36] - 
       12*t[37] + 12*t[38] - 102*t[39] + 123*t[40] - (9*t[41])/2 + 
       (9*t[42])/2 + 10*t[43] - 8*t[44] - 8*t[45] + 12*t[46] + 172*t[47] - 
       (391*t[48])/4 - 150*t[49] - (31*t[50])/4 + 72*t[51] - (569*t[52])/4 + 
       150*t[53] + (395*t[54])/4 + 7*t[59] + 211*t[60] + 291*t[61] - 
       526*t[62] - 470*t[63] - 233*t[64] + (311*t[65])/3 + (94*t[66])/3 - 
       8*t[67] - 32*t[68] - 8*t[70] + 8*t[71] - 16*t[74] + 40*t[76] + 
       120*t[77] - 112*t[78] + 88*t[80] - 4*t[81] + 48*t[82] - 52*t[84] + 
       6*t[85] + 40*t[86] + 178*t[87] + 89*t[88] + 232*t[89] - 12*t[92] + 
       12*t[94] - 288*t[98] + 240*t[99] + 432*t[100]) + 
     HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u]*(19*t[1] - 20*t[2] - 202*t[3] + 
       50*t[4] - 63*t[5] - (129*t[6])/2 + 115*t[7] - 103*t[8] + 178*t[9] + 
       476*t[10] - (11*t[11])/2 + 148*t[12] + (3247*t[13])/18 + 
       (385*t[14])/3 + (277*t[15])/6 + 8*t[16] + 4*t[17] - 8*t[24] + 
       36*t[27] - 32*t[29] - 40*t[30] - 12*t[33] - 8*t[34] + 16*t[36] - 
       12*t[37] + 12*t[38] - 94*t[39] + 114*t[40] - t[41] + t[42] + 
       10*t[43] - 8*t[44] + 12*t[46] + 152*t[47] - (189*t[48])/2 - 
       147*t[49] - (5*t[50])/2 + (141*t[51])/2 - (291*t[52])/2 + 147*t[53] + 
       (185*t[54])/2 + 10*t[59] + 216*t[60] + 292*t[61] - 512*t[62] - 
       492*t[63] - 255*t[64] + (368*t[65])/3 + (154*t[66])/3 - 8*t[67] - 
       32*t[68] - 8*t[70] + 8*t[71] - 16*t[74] + 40*t[76] + 112*t[77] - 
       112*t[78] + 88*t[80] - 4*t[81] + 36*t[82] - 52*t[84] + 6*t[85] + 
       40*t[86] + 178*t[87] + 89*t[88] + 239*t[89] - 12*t[92] + 12*t[94] - 
       288*t[98] + 240*t[99] + 432*t[100]) + 
     HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w]*((-25*t[1])/2 - (537*t[2])/2 + 
       (637*t[3])/2 - (131*t[4])/2 + (493*t[5])/4 + 292*t[6] - (631*t[7])/2 - 
       (117*t[8])/2 - (1277*t[9])/4 + (81*t[10])/4 - (823*t[11])/2 - 
       97*t[12] - (9437*t[13])/36 - (10153*t[14])/24 - (733*t[15])/8 - 
       8*t[16] - 12*t[17] + 16*t[24] - 12*t[27] + 18*t[32] + 10*t[33] + 
       3*t[34] - 16*t[36] + 20*t[37] - 3*t[38] - 42*t[39] - 6*t[40] - 
       (123*t[41])/2 + (123*t[42])/2 - 6*t[43] + 52*t[44] + 62*t[45] - 
       218*t[47] - 128*t[48] + (293*t[49])/4 - 40*t[50] - (305*t[51])/8 + 
       61*t[52] - (197*t[53])/4 + (207*t[54])/2 + 12*t[55] - (9*t[59])/2 - 
       567*t[60] - 673*t[61] + (1863*t[62])/4 + (3473*t[63])/4 + 
       (569*t[64])/2 - (3811*t[65])/6 + (2381*t[66])/3 + 12*t[67] + 
       48*t[68] + 24*t[74] + 110*t[76] + 6*t[77] - 502*t[78] - 64*t[80] - 
       94*t[81] + 156*t[82] - (543*t[84])/2 + (361*t[85])/2 - 24*t[86] + 
       (515*t[87])/2 + (515*t[88])/4 - 369*t[89] + 12*t[92] - 12*t[94] - 
       15*t[97] - 288*t[98] + 240*t[99] + 432*t[100]) + 
     HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w]*(-11*t[1] - 253*t[2] + 317*t[3] - 
       60*t[4] + (291*t[5])/2 + 282*t[6] - 304*t[7] - 68*t[8] - 
       (657*t[9])/2 + 16*t[10] - 403*t[11] - (211*t[12])/2 - 
       (4699*t[13])/18 - (2587*t[14])/6 - (1061*t[15])/12 - 8*t[16] - 
       12*t[17] + 16*t[24] - 12*t[27] + 12*t[32] + 16*t[33] + 2*t[34] - 
       16*t[36] + 20*t[37] - 2*t[38] - 48*t[39] - 57*t[41] + 57*t[42] - 
       6*t[43] + 52*t[44] + 54*t[45] - 198*t[47] - 125*t[48] + 78*t[49] - 
       37*t[50] - 40*t[51] + 59*t[52] - 54*t[53] + 89*t[54] + 12*t[55] - 
       5*t[59] - 563*t[60] - 687*t[61] + 471*t[62] + 857*t[63] + 
       (577*t[64])/2 - (1904*t[65])/3 + (2369*t[66])/3 + 12*t[67] + 
       48*t[68] + 24*t[74] + 94*t[76] - 462*t[78] - 64*t[80] - 92*t[81] + 
       154*t[82] - 278*t[84] + 182*t[85] - 24*t[86] + 262*t[87] + 131*t[88] - 
       (731*t[89])/2 + 12*t[92] - 12*t[94] - 14*t[97] - 288*t[98] + 
       240*t[99] + 432*t[100]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*((27*t[1])/4 - 7*t[2] + (157*t[3])/4 - 
       (235*t[4])/2 + (361*t[5])/8 - (289*t[6])/8 - (77*t[7])/2 + 
       (5*t[8])/2 - (445*t[9])/8 + (71*t[10])/4 - (545*t[11])/8 + 
       (33*t[12])/8 - (797*t[13])/72 - (593*t[14])/6 - (143*t[15])/16 + 
       4*t[16] + (5*t[17])/2 + 2*t[18] + 2*t[19] - 2*t[20] + 2*t[21] + 
       2*t[22] - 5*t[23] + 6*t[24] - 10*t[25] + 5*t[26] + 4*t[27] - 2*t[29] + 
       4*t[31] + 3*t[32] + 4*t[33] - (17*t[34])/2 + 10*t[36] - 2*t[37] + 
       4*t[38] - 5*t[39] - 4*t[40] + (17*t[41])/4 - (5*t[42])/4 + t[43]/2 + 
       3*t[44] - (9*t[45])/2 + 8*t[46] + (35*t[47])/2 - (15*t[48])/8 - 
       (95*t[49])/4 + (33*t[50])/8 + (35*t[51])/4 + (155*t[52])/8 + 
       (131*t[53])/4 + (123*t[54])/8 + t[55] + t[58] - (17*t[59])/4 - 
       169*t[60] - 252*t[61] - (23*t[62])/4 - (571*t[63])/4 + (767*t[64])/4 + 
       (333*t[65])/2 + 113*t[66] - (7*t[67])/2 - 10*t[68] + 2*t[69] - 
       10*t[70] + 10*t[71] - 13*t[74] + 17*t[76] + 4*t[77] - (79*t[78])/2 + 
       49*t[80] - (37*t[81])/2 + (59*t[82])/2 - (59*t[84])/2 + 15*t[85] + 
       74*t[86] + 90*t[87] + 26*t[88] + (133*t[89])/2 - t[90] - 2*t[92] + 
       2*t[94] + 4*t[95] + 4*t[96] - (5*t[97])/2 + 120*t[98] - 240*t[99] + 
       444*t[100]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((31*t[1])/4 - (43*t[2])/4 + (99*t[3])/4 - (141*t[4])/4 + (43*t[5])/8 - 
       (209*t[6])/4 + 30*t[7] - (101*t[8])/2 - (117*t[9])/8 - (157*t[10])/8 - 
       (63*t[11])/2 + (87*t[12])/4 - (857*t[13])/36 - (1299*t[14])/16 - 
       (1367*t[15])/48 - 4*t[16] - t[17]/2 + 4*t[18] + 2*t[19] + 2*t[20] + 
       6*t[21] - 6*t[23] + 4*t[24] - 8*t[25] + t[26] + 6*t[27] - 4*t[29] + 
       6*t[31] - 2*t[32] + 2*t[33] + (9*t[34])/2 - 6*t[36] + 14*t[37] + 
       8*t[38] - 7*t[39] + 2*t[40] + (15*t[41])/4 - (7*t[42])/4 - 
       (31*t[43])/4 + 8*t[44] - (11*t[45])/2 + 2*t[46] + 25*t[47] - 
       (35*t[48])/2 + (77*t[49])/8 + (23*t[50])/2 + (19*t[51])/16 - 
       26*t[52] + (91*t[53])/8 - (83*t[54])/4 - t[55] + t[58] - 
       (21*t[59])/4 - 123*t[60] - (431*t[61])/2 + (367*t[62])/8 + 
       (29*t[63])/8 + 109*t[64] + (296*t[65])/3 + (197*t[66])/4 + 2*t[67] + 
       5*t[68] - 12*t[70] + 12*t[71] - 4*t[72] - 2*t[74] + (43*t[76])/2 - 
       3*t[77] - (63*t[78])/2 + 2*t[80] - (7*t[81])/2 + (29*t[82])/2 - 
       42*t[84] + (95*t[85])/4 + 38*t[86] + (161*t[87])/4 + (17*t[88])/8 + 
       (123*t[89])/4 + 2*t[92] - 2*t[94] + 4*t[95] + t[96] - t[97]/2 + 
       120*t[98] - 240*t[99] + 444*t[100]) + HPL[{0, 1}, 1 - u]*Qep[v, w, u]*
      (16*t[1] - 40*t[2] - (214*t[3])/3 - (200*t[4])/3 + (88*t[5])/3 + 
       (115*t[6])/3 + (188*t[7])/3 - (64*t[8])/3 + (58*t[9])/3 + 12*t[10] - 
       (347*t[11])/3 - 20*t[12] - (238*t[13])/27 - 41*t[14] + (62*t[15])/9 + 
       (32*t[28])/3 - (88*t[29])/3 - (160*t[30])/3 + (64*t[31])/3 + 
       40*t[32] + 32*t[33] - (128*t[34])/3 - (64*t[35])/3 + (32*t[36])/3 - 
       (32*t[37])/3 + (32*t[38])/3 - (32*t[39])/3 - (32*t[40])/3 + 
       (16*t[43])/3 + (76*t[44])/3 + (32*t[45])/3 - 5*t[48] - (52*t[49])/3 + 
       (77*t[50])/3 + (50*t[51])/3 - 15*t[52] + (52*t[53])/3 + (43*t[54])/3 + 
       (32*t[59])/3 + (370*t[60])/3 - (518*t[61])/3 - (185*t[62])/3 - 
       373*t[63] - 193*t[64] + (394*t[65])/9 + 46*t[66] + (64*t[70])/3 - 
       (64*t[71])/3 - (64*t[72])/3 + (64*t[74])/3 - (32*t[76])/3 + 32*t[77] - 
       (160*t[78])/3 + (64*t[80])/3 - 64*t[81] + (64*t[82])/3 - 
       (32*t[83])/3 + 14*t[84] + (266*t[85])/3 - (178*t[87])/3 + 
       (199*t[88])/3 + (319*t[89])/3 - (64*t[95])/3 - (64*t[96])/3 + 
       (32*t[97])/3 - 128*t[99] + 512*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*((-57*t[1])/2 - 78*t[2] + 285*t[3] - 
       (1395*t[4])/8 + (1841*t[5])/8 - (1023*t[6])/8 - (5709*t[7])/16 - 
       (6657*t[8])/16 - (7343*t[9])/16 - (99*t[10])/2 - (7025*t[11])/16 - 
       (1135*t[12])/16 - (3445*t[13])/32 - (41765*t[14])/96 - 
       (2201*t[15])/32 - 6*t[18] + 12*t[20] - 6*t[21] - 12*t[22] + 6*t[23] + 
       6*t[24] + (45*t[25])/2 - 18*t[26] + (39*t[27])/2 + 36*t[28] + 
       15*t[29] + 57*t[30] - 6*t[31] - (195*t[32])/2 + 24*t[33] - 6*t[34] - 
       36*t[35] + 60*t[36] + 24*t[37] - (45*t[38])/2 - 24*t[39] + 
       (117*t[40])/2 - (9*t[41])/2 + (3*t[42])/2 - (81*t[43])/16 - 
       (45*t[44])/2 - (117*t[45])/8 + (81*t[46])/4 - (45*t[47])/4 + 
       (1083*t[48])/16 - (633*t[49])/16 - (1317*t[50])/16 - (669*t[51])/32 + 
       (453*t[52])/16 + (177*t[53])/16 + (1047*t[54])/16 - 9*t[58] + 
       48*t[59] - 699*t[60] - (2131*t[61])/4 + (5689*t[62])/8 + 
       (5741*t[63])/8 + (2047*t[64])/4 + (7073*t[65])/12 + (1571*t[66])/2 - 
       6*t[68] + 12*t[69] - 12*t[70] + 12*t[71] + 36*t[72] + 48*t[73] - 
       15*t[74] - 36*t[75] + (99*t[76])/2 - 25*t[77] - 39*t[78] + 24*t[79] - 
       27*t[80] + 99*t[81] + (201*t[82])/2 - 36*t[83] - 72*t[84] + 
       (147*t[85])/4 - 291*t[86] + (1125*t[87])/4 + (213*t[88])/8 + 
       (137*t[89])/4 + 6*t[93] + 36*t[95] - 12*t[96] - 33*t[97] - 72*t[98] + 
       204*t[99] + 606*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - w]*((-321*t[1])/4 - 57*t[2] + (435*t[3])/2 + (2095*t[4])/8 + 
       (1371*t[5])/16 - (5273*t[6])/16 - 333*t[7] - 588*t[8] - 
       (7203*t[9])/16 + (1619*t[10])/4 + (635*t[11])/16 + (233*t[12])/16 + 
       (1133*t[13])/8 - (6929*t[14])/32 - (2333*t[15])/96 + 6*t[16] + 
       3*t[17] + 15*t[19] + 84*t[20] + 12*t[21] - 72*t[22] - 12*t[23] - 
       24*t[24] + 36*t[25] + (63*t[26])/2 - 21*t[27] + 36*t[28] - 45*t[29] + 
       162*t[30] - 12*t[31] - 66*t[32] + 30*t[33] + 84*t[34] - (93*t[36])/2 - 
       (45*t[37])/2 - 63*t[38] - (81*t[39])/2 + (171*t[40])/2 + 
       (123*t[43])/4 + (87*t[44])/2 + (75*t[45])/2 - 6*t[46] - 51*t[47] - 
       (1773*t[48])/16 + (347*t[49])/8 + (267*t[50])/16 - (955*t[51])/32 - 
       (2307*t[52])/16 - (419*t[53])/8 - (3113*t[54])/16 - 6*t[56] - 
       12*t[57] - (15*t[58])/2 + (9*t[59])/4 - (1511*t[60])/8 - 
       (55*t[61])/2 + (617*t[62])/2 + (3619*t[63])/8 - (1211*t[64])/8 + 
       (3635*t[65])/24 - (4405*t[66])/24 + (3*t[68])/2 + 30*t[69] - 
       18*t[70] + 18*t[71] + 12*t[73] - (291*t[74])/2 + 60*t[75] - 
       (69*t[76])/2 + (3*t[77])/2 + 168*t[78] + 12*t[79] + 105*t[80] + 
       (477*t[81])/4 - (147*t[82])/4 - 39*t[83] - (621*t[84])/8 - 
       (307*t[85])/4 - 408*t[86] + (1171*t[87])/4 + (451*t[88])/8 + 
       (469*t[89])/16 + 12*t[93] + 27*t[95] + 18*t[96] - 9*t[97] - 72*t[98] + 
       204*t[99] + 606*t[100]) + HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u]*
      (-15*t[1] + (7*t[2])/2 + (285*t[3])/4 + (151*t[4])/4 + (2211*t[5])/8 - 
       (819*t[6])/8 - (957*t[7])/4 - 364*t[8] - (883*t[9])/8 - 
       (431*t[10])/8 - (935*t[11])/8 - (221*t[12])/2 + (307*t[13])/3 - 
       (3309*t[14])/16 - (16559*t[15])/144 + 28*t[17] - t[27] - 5*t[29] - 
       33*t[30] - 60*t[32] + 24*t[33] + 26*t[34] + 24*t[36] + 32*t[37] - 
       8*t[38] + 12*t[39] + 2*t[40] - (11*t[41])/2 + (11*t[42])/2 - 
       56*t[44] + (153*t[45])/2 - t[46]/2 - (235*t[47])/2 - (123*t[48])/8 + 
       (475*t[49])/8 - (99*t[50])/8 - (533*t[51])/16 + (83*t[52])/8 - 
       (603*t[53])/8 - (1419*t[54])/8 - 4*t[55] - t[59]/2 - 257*t[60] - 
       714*t[61] + (1627*t[62])/4 - (75*t[63])/4 + (927*t[64])/4 - 
       (563*t[65])/6 - (619*t[66])/3 - 56*t[68] - 16*t[70] + 16*t[71] - 
       8*t[74] + 114*t[76] - 17*t[77] - 132*t[78] - 68*t[80] + 42*t[81] - 
       (31*t[82])/2 - (77*t[84])/2 + (263*t[85])/2 - (105*t[87])/2 - 
       (399*t[88])/4 + (223*t[89])/4 - (2*t[91])/3 + 16*t[95] - 8*t[96] - 
       24*t[97] + 96*t[98] - 288*t[99] + 672*t[100]) + 
     HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w]*(3*t[1] - (233*t[2])/2 + 
       (569*t[3])/2 + (209*t[4])/4 - (63*t[5])/8 - (2183*t[6])/8 + 294*t[7] - 
       (2241*t[8])/4 - (253*t[9])/8 + (251*t[10])/8 + (455*t[11])/8 + 
       (451*t[12])/4 - (365*t[13])/36 - (9053*t[14])/48 - (4523*t[15])/144 - 
       (15*t[17])/2 - t[23] - 73*t[24] - 8*t[27] + 8*t[29] + 55*t[30] - 
       42*t[32] - 19*t[33] - 4*t[34] - 24*t[36] + 10*t[38] - 16*t[39] + 
       49*t[40] + (3*t[41])/2 - (3*t[42])/2 + 16*t[43] + 49*t[44] - 
       104*t[45] - 4*t[46] + 177*t[47] - (815*t[48])/8 - t[49]/8 + 
       (985*t[50])/8 + (129*t[51])/16 - (1473*t[52])/8 + (65*t[53])/8 - 
       (1859*t[54])/8 - t[55]/2 - 7*t[59] - 288*t[60] - 366*t[61] + 
       170*t[62] - (25*t[63])/2 - (1103*t[64])/4 + (1481*t[65])/4 + 
       (4633*t[66])/12 + 15*t[68] - 16*t[70] + 16*t[71] - 184*t[74] - 
       (205*t[76])/2 - 3*t[77] + (289*t[78])/2 + 42*t[80] + (17*t[81])/2 + 
       (79*t[82])/2 - (241*t[84])/4 - 23*t[85] + 64*t[86] + 117*t[87] - 
       15*t[88] + (515*t[89])/4 + (2*t[91])/3 + 16*t[95] + 28*t[96] - 
       6*t[97] + 96*t[98] - 288*t[99] + 672*t[100]) + 
     HPL[{0, 1}, 1 - u]*Qep[u, v, w]*((-32*t[1])/3 - (680*t[2])/9 + 
       (2374*t[3])/9 - (1096*t[4])/9 + (1232*t[5])/9 - (863*t[6])/9 - 
       (1444*t[7])/9 - (3104*t[8])/9 - (3170*t[9])/9 - (1372*t[10])/9 - 
       (2081*t[11])/9 - 60*t[12] - (1954*t[13])/81 - (11219*t[14])/27 + 
       (1522*t[15])/81 + (64*t[24])/9 + (128*t[27])/9 - (32*t[28])/3 + 
       (104*t[29])/9 + (128*t[30])/9 + (64*t[31])/3 - (688*t[32])/9 + 
       (448*t[33])/9 - (32*t[34])/3 + (64*t[35])/3 - (160*t[37])/9 - 
       (32*t[38])/9 - (448*t[39])/9 + (328*t[40])/9 - (80*t[41])/9 + 
       (80*t[42])/9 + (16*t[43])/9 + (428*t[44])/9 - (416*t[45])/9 + 
       (16*t[46])/3 + (64*t[47])/3 - (47*t[48])/3 - (44*t[49])/3 + 79*t[50] + 
       (38*t[51])/9 - (647*t[52])/9 - (124*t[53])/9 - (341*t[54])/3 + 
       (32*t[59])/9 - (5210*t[60])/9 - (6778*t[61])/9 + (5057*t[62])/9 + 
       (3431*t[63])/9 + (1511*t[64])/9 + (8942*t[65])/27 + (21034*t[66])/27 - 
       (64*t[70])/9 + (64*t[71])/9 - (256*t[72])/9 + (64*t[73])/3 - 
       (32*t[74])/3 - (64*t[75])/3 - (352*t[76])/9 - (32*t[77])/9 + 
       (128*t[78])/9 + (896*t[80])/9 - (176*t[81])/3 + (656*t[82])/9 + 
       (32*t[83])/9 - (898*t[84])/9 + (806*t[85])/9 + 64*t[86] + 
       (1306*t[87])/9 + 37*t[88] - (155*t[89])/9 + (64*t[95])/3 - 
       (320*t[96])/9 - 32*t[97] - (128*t[98])/3 + 704*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*(3*t[1] - 31*t[2] + 
       53*t[3] - (257*t[4])/2 + (397*t[5])/4 - (191*t[6])/4 - (183*t[7])/4 - 
       (73*t[8])/4 - 98*t[9] + 12*t[10] - 149*t[11] - (3*t[12])/2 - 
       (31*t[13])/72 - (4009*t[14])/24 - (745*t[15])/36 + 4*t[16] + 8*t[17] + 
       2*t[18] - 6*t[19] + 6*t[20] + 10*t[21] - 2*t[22] - 10*t[23] - 
       8*t[25] + 8*t[26] + 8*t[27] - 32*t[29] + 6*t[30] + 8*t[31] + 6*t[33] + 
       4*t[34] + 8*t[36] + 2*t[38] - 6*t[39] + 10*t[41] - 8*t[42] + 
       (23*t[43])/4 + 10*t[44] - (3*t[45])/2 + 13*t[46] + 13*t[47] - 
       (21*t[48])/2 - (113*t[49])/4 - (33*t[50])/2 + (47*t[51])/8 + 
       (25*t[52])/2 + (113*t[53])/4 - 3*t[54] + 2*t[58] - (411*t[60])/2 - 
       (925*t[61])/2 + (273*t[62])/4 - (805*t[63])/4 + (1275*t[64])/4 + 
       (1163*t[65])/6 + (1445*t[66])/6 - 4*t[67] - 16*t[68] + 2*t[69] - 
       6*t[70] + 6*t[71] - 12*t[72] - 12*t[74] + 20*t[76] + 8*t[77] - 
       56*t[78] + 96*t[80] - 26*t[81] + 42*t[82] - 6*t[83] - (127*t[84])/2 + 
       (49*t[85])/2 + 98*t[86] + (289*t[87])/2 + (289*t[88])/4 + 
       (559*t[89])/4 + 96*t[98] - 224*t[99] + 718*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*(11*t[1] + 18*t[2] + 
       (111*t[3])/2 - (39*t[4])/2 + (235*t[5])/2 - (31*t[6])/2 - 
       (117*t[7])/2 - (3*t[8])/2 - 120*t[9] + 10*t[10] - 111*t[11] - 
       49*t[12] - (199*t[13])/4 - (3323*t[14])/24 - (631*t[15])/36 - 
       4*t[16] + 4*t[20] - 4*t[22] - 16*t[25] + 2*t[26] + 6*t[27] - 8*t[29] + 
       48*t[30] + 8*t[31] - 8*t[32] + 8*t[33] - 4*t[35] - 6*t[36] + 
       20*t[37] + 14*t[38] - 8*t[39] - 2*t[40] - 2*t[41] + 2*t[42] + 
       4*t[43] + 10*t[44] - 4*t[45] - 2*t[46] + 4*t[47] - (9*t[48])/2 + 
       20*t[49] + (13*t[50])/2 - (7*t[51])/8 + (3*t[52])/2 - 9*t[53] - 
       20*t[54] - 6*t[59] - 150*t[60] - (837*t[61])/2 + (611*t[62])/4 - 
       (511*t[63])/4 + (35*t[64])/4 + (197*t[65])/3 + (758*t[66])/3 + 
       4*t[69] - 4*t[70] + 4*t[71] - 22*t[72] - 2*t[74] - 4*t[75] + 
       14*t[76] - 2*t[77] - 36*t[78] - 32*t[80] - 13*t[81] + 31*t[82] + 
       2*t[83] - 55*t[84] + (101*t[85])/2 + (155*t[87])/2 + (91*t[88])/4 + 
       (123*t[89])/2 + 4*t[95] + 4*t[96] - 4*t[97] + 96*t[98] - 224*t[99] + 
       718*t[100]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-9*t[1])/2 + (131*t[2])/4 - (173*t[3])/2 - 243*t[4] + (949*t[5])/8 + 
       (2653*t[6])/16 - 359*t[7] + (2143*t[8])/4 - 223*t[9] + (17*t[10])/2 - 
       (6449*t[11])/16 - (153*t[12])/8 - (2671*t[13])/12 - (7123*t[14])/48 + 
       (27*t[15])/8 - (3*t[17])/2 + 6*t[19] + 6*t[20] + 6*t[21] - 6*t[22] - 
       6*t[23] + 12*t[27] - 21*t[29] + 3*t[30] + 78*t[32] + 3*t[33] - 
       3*t[34] - 6*t[38] - 18*t[39] - (45*t[40])/2 - (11*t[41])/2 + 
       (11*t[42])/2 + 3*t[43] - (15*t[44])/2 + 25*t[45] - 45*t[47] + 
       (1771*t[48])/16 - 38*t[49] - (833*t[50])/16 + (29*t[51])/2 + 
       (1649*t[52])/16 + 14*t[53] + (2805*t[54])/16 + 3*t[55] + (3*t[59])/2 - 
       (567*t[60])/8 - (4303*t[61])/8 + (3601*t[62])/16 - (2185*t[63])/16 + 
       (5705*t[64])/16 + (5485*t[65])/24 + (14407*t[66])/24 + 3*t[68] + 
       24*t[70] - 24*t[71] + 12*t[72] + 12*t[74] - 79*t[76] - 30*t[77] + 
       69*t[78] + 12*t[80] - (125*t[81])/2 + (143*t[82])/2 - 6*t[83] + 
       (173*t[84])/8 + (219*t[85])/8 + 36*t[86] + (1613*t[87])/8 + 
       (3389*t[88])/16 + (537*t[89])/16 - 24*t[95] - 60*t[96] - 9*t[97] - 
       504*t[98] + 288*t[99] + 774*t[100]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*((27*t[1])/2 + (111*t[2])/4 - (1715*t[3])/8 - 
       59*t[4] - (549*t[5])/8 + (607*t[6])/16 - (33*t[7])/4 + 246*t[8] + 
       t[9] + 165*t[10] - (2971*t[11])/16 + (91*t[12])/8 - (667*t[13])/8 - 
       (239*t[14])/16 + (475*t[15])/48 + (3*t[17])/2 - 6*t[24] + 6*t[27] - 
       (9*t[29])/2 + 45*t[30] + 78*t[32] - 3*t[33] - 45*t[34] + 6*t[37] + 
       12*t[38] - 34*t[39] + 20*t[40] + (33*t[41])/2 - (33*t[42])/2 + 
       (45*t[44])/4 + 53*t[45] + 3*t[46] + 9*t[47] + (1941*t[48])/16 - 
       41*t[49] + (65*t[50])/16 + (103*t[51])/4 - (209*t[52])/16 + 41*t[53] + 
       (2519*t[54])/16 + (39*t[59])/2 + (355*t[60])/8 + (289*t[61])/8 - 
       (3147*t[62])/16 - (4693*t[63])/16 + (1037*t[64])/16 + 
       (6149*t[65])/24 + (1953*t[66])/8 - 3*t[68] + 24*t[70] - 24*t[71] + 
       12*t[74] - 87*t[76] + 26*t[77] + 117*t[78] - 24*t[80] - (99*t[81])/2 + 
       (21*t[82])/2 + (273*t[84])/8 - (885*t[85])/8 + 48*t[86] + 
       (1797*t[87])/8 + (3573*t[88])/16 + (3555*t[89])/16 - 24*t[95] - 
       24*t[96] + 9*t[97] - 504*t[98] + 288*t[99] + 774*t[100]) + 
     HPL[{0, 1}, 1 - w]*Qep[u, v, w]*(-32*t[1] + (112*t[2])/9 + 
       (2024*t[3])/9 - (320*t[4])/3 + (688*t[5])/3 - (209*t[6])/3 - 
       (3520*t[7])/9 - (1292*t[8])/9 - 474*t[9] - (544*t[10])/9 - 
       (1613*t[11])/9 + (196*t[12])/9 - (6224*t[13])/81 - (9325*t[14])/27 - 
       (2483*t[15])/81 + (128*t[20])/9 + (128*t[24])/9 + (128*t[27])/9 + 
       (128*t[29])/9 + (64*t[30])/3 + (64*t[31])/3 - (368*t[32])/9 + 
       (256*t[33])/9 + (128*t[34])/9 + (224*t[37])/9 - (32*t[38])/9 - 
       (352*t[39])/9 + (88*t[40])/9 - (80*t[41])/9 + (80*t[42])/9 + 
       (16*t[43])/9 - (32*t[44])/3 - (64*t[45])/3 + (16*t[46])/3 + 
       (32*t[47])/3 - (55*t[48])/3 - (128*t[49])/9 - (193*t[50])/9 - 
       (4*t[51])/3 + (385*t[52])/9 - (128*t[53])/9 - (667*t[54])/9 - 
       (208*t[59])/9 - (3074*t[60])/9 - (7150*t[61])/9 + (3499*t[62])/9 + 
       (1829*t[63])/9 + 397*t[64] + (1166*t[65])/9 + (15382*t[66])/27 - 
       (64*t[70])/9 + (64*t[71])/9 - (64*t[72])/3 - (512*t[76])/9 - 
       (256*t[77])/9 + (800*t[78])/9 - (128*t[79])/3 - (256*t[80])/3 - 
       (352*t[81])/9 + (256*t[82])/9 + (32*t[83])/9 - (218*t[84])/3 + 
       (418*t[85])/9 + (64*t[86])/3 + (1150*t[87])/9 + (85*t[88])/3 - 
       (49*t[89])/3 + (64*t[95])/3 - (320*t[96])/9 - 32*t[97] - 
       (896*t[98])/3 + 256*t[99] + 832*t[100]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u]*((133*t[1])/2 - 100*t[2] - 490*t[3] - 
       67*t[4] - (445*t[5])/4 - (653*t[6])/4 + (211*t[7])/2 - (403*t[8])/2 + 
       (1313*t[9])/4 + (2959*t[10])/2 - (1813*t[11])/4 + (1491*t[12])/4 + 
       (17315*t[13])/36 + (739*t[14])/6 + (1837*t[15])/24 + 32*t[16] + 
       28*t[17] - 56*t[24] + 108*t[27] - 128*t[29] - 88*t[30] - 36*t[33] - 
       21*t[34] + 64*t[36] - 36*t[37] + 36*t[38] - 258*t[39] + 315*t[40] - 
       (17*t[41])/2 + (17*t[42])/2 + 46*t[43] - 8*t[44] - 40*t[45] + 
       36*t[46] + 492*t[47] - (839*t[48])/4 - 456*t[49] - (447*t[50])/4 + 
       219*t[51] - (1269*t[52])/4 + 456*t[53] + (1579*t[54])/4 + 27*t[59] + 
       246*t[60] + 67*t[61] - 1326*t[62] - 1606*t[63] - 115*t[64] + 
       630*t[65] + (1598*t[66])/3 - 32*t[67] - 128*t[68] - 8*t[70] + 
       8*t[71] - 64*t[74] + 88*t[76] + 312*t[77] - 304*t[78] + 328*t[80] - 
       52*t[81] + 208*t[82] - 232*t[84] - 6*t[85] + 184*t[86] + 790*t[87] + 
       395*t[88] + 891*t[89] - 36*t[92] + 36*t[94] - 864*t[98] + 528*t[99] + 
       2304*t[100]) + HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w]*
      ((-73*t[1])/2 - (1449*t[2])/2 + (1805*t[3])/2 - (295*t[4])/2 + 
       (1877*t[5])/4 + 796*t[6] - (1987*t[7])/2 + (7*t[8])/2 - 
       (3661*t[9])/4 + (717*t[10])/4 - (2615*t[11])/2 - 252*t[12] - 
       (30245*t[13])/36 - (10751*t[14])/8 - (8119*t[15])/24 - 32*t[16] - 
       36*t[17] + 16*t[24] - 36*t[27] + 96*t[30] + 50*t[32] + 2*t[33] + 
       3*t[34] - 64*t[36] + 92*t[37] - 3*t[38] - 130*t[39] - 14*t[40] - 
       (315*t[41])/2 + (315*t[42])/2 - 18*t[43] + 124*t[44] + 202*t[45] - 
       598*t[47] - 326*t[48] + (1057*t[49])/4 - 166*t[50] - (1069*t[51])/8 + 
       235*t[52] - (769*t[53])/4 + (511*t[54])/2 + 36*t[55] - (33*t[59])/2 - 
       1742*t[60] - 2439*t[61] + (6003*t[62])/4 + (8581*t[63])/4 + 
       (2043*t[64])/2 - (9329*t[65])/6 + 2581*t[66] + 36*t[67] + 144*t[68] + 
       72*t[74] + 330*t[76] + 14*t[77] - 1394*t[78] - 256*t[80] - 254*t[81] + 
       472*t[82] - (1723*t[84])/2 + (1149*t[85])/2 - 72*t[86] + 
       (1679*t[87])/2 + (1679*t[88])/4 - 870*t[89] + 36*t[92] - 36*t[94] - 
       39*t[97] - 864*t[98] + 528*t[99] + 2304*t[100]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u]*(144*t[1] - 228*t[2] - 876*t[3] - 
       336*t[4] - 141*t[5] - 270*t[6] - 72*t[7] - 216*t[8] + 447*t[9] + 
       3042*t[10] - 1332*t[11] + 657*t[12] + 900*t[13] + 26*t[14] + 
       (223*t[15])/2 + 72*t[16] + 72*t[17] - 144*t[24] + 216*t[27] - 
       288*t[29] - 144*t[30] - 72*t[33] - 36*t[34] + 144*t[36] - 72*t[37] + 
       72*t[38] - 468*t[39] + 576*t[40] - 12*t[41] + 12*t[42] + 108*t[43] - 
       96*t[45] + 72*t[46] + 960*t[47] - 336*t[48] - 918*t[49] - 312*t[50] + 
       441*t[51] - 516*t[52] + 918*t[53] + 888*t[54] + 60*t[59] + 96*t[60] - 
       672*t[61] - 2388*t[62] - 3420*t[63] + 342*t[64] + 1596*t[65] + 
       1504*t[66] - 72*t[67] - 288*t[68] - 144*t[74] + 144*t[76] + 
       576*t[77] - 576*t[78] + 720*t[80] - 144*t[81] + 480*t[82] - 
       540*t[84] - 36*t[85] + 432*t[86] + 1836*t[87] + 918*t[88] + 
       1986*t[89] - 72*t[92] + 72*t[94] - 1728*t[98] + 864*t[99] + 
       5616*t[100]) + HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w]*
      (-72*t[1] - 1368*t[2] + 1752*t[3] - 246*t[4] + 1038*t[5] + 1512*t[6] - 
       2022*t[7] + 174*t[8] - 1788*t[9] + 477*t[10] - 2688*t[11] - 
       465*t[12] - 1730*t[13] - (5525*t[14])/2 - 741*t[15] - 72*t[16] - 
       72*t[17] - 72*t[27] + 288*t[30] + 96*t[32] - 24*t[33] - 144*t[36] + 
       216*t[37] - 264*t[39] - 24*t[40] - 288*t[41] + 288*t[42] - 36*t[43] + 
       216*t[44] + 420*t[45] - 1140*t[47] - 594*t[48] + 573*t[49] - 
       378*t[50] - (573*t[51])/2 + 522*t[52] - 429*t[53] + 456*t[54] + 
       72*t[55] - 36*t[59] - 3534*t[60] - 5298*t[61] + 3105*t[62] + 
       3831*t[63] + 2211*t[64] - 2750*t[65] + 5346*t[66] + 72*t[67] + 
       288*t[68] + 144*t[74] + 660*t[76] + 24*t[77] - 2676*t[78] - 
       576*t[80] - 480*t[81] + 948*t[82] - 1770*t[84] + 1182*t[85] - 
       144*t[86] + 1746*t[87] + 873*t[88] - 1503*t[89] + 72*t[92] - 
       72*t[94] - 72*t[97] - 1728*t[98] + 864*t[99] + 5616*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*((-15*t[1])/4 - 8*t[2] + 
       (31*t[3])/2 - (263*t[4])/4 - (267*t[5])/8 + 72*t[6] + 60*t[7] + 
       (25*t[8])/4 + (369*t[9])/8 - (395*t[10])/8 - (355*t[11])/4 + 
       (151*t[12])/4 - (3047*t[13])/72 + (291*t[14])/16 + (845*t[15])/144 - 
       5*t[17] + 4*t[19] + 2*t[20] - 12*t[21] - 4*t[22] + 12*t[23] - 
       28*t[24] - 7*t[27] - 24*t[28] + 13*t[29] + 17*t[30] + 2*t[31] + 
       4*t[32] - 20*t[33] - (15*t[34])/2 + 20*t[35] - 8*t[36] - 10*t[37] - 
       5*t[38] - 6*t[39] + (3*t[40])/2 - (11*t[41])/4 + (11*t[42])/4 + 
       (41*t[43])/4 + (53*t[44])/2 - (103*t[45])/2 - (3*t[46])/2 + 
       (193*t[47])/2 - (57*t[48])/4 - (55*t[49])/8 + (171*t[50])/4 + 
       (113*t[51])/16 - (153*t[52])/4 + (111*t[53])/8 + (87*t[54])/2 - 
       2*t[55] + 4*t[57] + (7*t[59])/2 - (175*t[60])/4 - (605*t[61])/4 + 
       (1077*t[62])/8 - (97*t[63])/8 - (469*t[64])/8 + (1651*t[65])/12 + 
       (3557*t[66])/12 + 10*t[68] + 14*t[69] - 16*t[72] - 34*t[74] - 
       24*t[76] - 3*t[77] + 32*t[78] + 92*t[80] + 3*t[81] - (29*t[82])/2 + 
       3*t[83] + (203*t[84])/4 + (109*t[85])/4 + 61*t[86] + (23*t[87])/4 + 
       (23*t[88])/8 + (549*t[89])/8 + t[91]/3 - 4*t[96] - 13*t[97] + 
       108*t[98] - 132*t[99] + 192*t[100] - 60*t[101]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((17*t[1])/4 + (9*t[2])/2 - (169*t[3])/4 - (59*t[4])/4 + (501*t[5])/8 - 
       19*t[6] - (321*t[7])/4 - 3*t[8] - (15*t[9])/8 - (151*t[10])/8 - 
       (113*t[11])/2 - 39*t[12] + (2089*t[13])/72 - (3583*t[14])/48 - 
       (6217*t[15])/144 + (15*t[17])/2 - 8*t[19] + 8*t[21] + 5*t[23] + 
       19*t[24] + 8*t[27] + 16*t[28] - 14*t[29] + 11*t[30] + 4*t[31] + 
       19*t[32] - 11*t[33] + 4*t[34] - 12*t[35] + 8*t[36] + 18*t[37] + 
       (11*t[38])/2 + 18*t[39] - 4*t[40] + t[41]/4 - t[42]/4 - (11*t[43])/4 - 
       11*t[44] + 41*t[45] - 67*t[47] + (87*t[48])/4 - (33*t[49])/8 - 
       (81*t[50])/4 + (53*t[51])/16 + t[52]/4 + (81*t[53])/8 + t[54]/2 + 
       t[55]/2 + 4*t[57] - (17*t[59])/2 - (77*t[60])/4 - (865*t[61])/4 + 
       (1027*t[62])/8 - (387*t[63])/8 + (431*t[64])/8 - (117*t[65])/2 - 
       189*t[66] - 16*t[68] - 8*t[69] + 2*t[72] + 22*t[74] + (159*t[76])/2 + 
       t[77] - (153*t[78])/2 - 8*t[80] - (9*t[81])/2 + (51*t[82])/2 + 
       26*t[83] + 8*t[84] + (225*t[85])/4 - 117*t[86] + (355*t[87])/4 + 
       (355*t[88])/8 + (303*t[89])/8 - t[90] - t[91]/3 - 6*t[96] - 5*t[97] + 
       108*t[98] - 132*t[99] + 192*t[100] - 60*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*
      ((-39*t[1])/2 + (375*t[2])/2 + (819*t[3])/2 - 51*t[4] + (555*t[5])/2 - 
       (1321*t[6])/8 + 129*t[7] - 930*t[8] - (855*t[9])/4 - 294*t[10] + 
       (681*t[11])/8 + (321*t[12])/2 + (487*t[13])/4 - (1153*t[14])/8 - 
       (1981*t[15])/24 - 3*t[17] - 60*t[20] - 72*t[24] + 6*t[27] + 24*t[28] - 
       36*t[29] + 48*t[30] - 99*t[32] - 48*t[33] + 81*t[34] - 6*t[37] - 
       9*t[38] + 24*t[40] - (21*t[41])/2 + (21*t[42])/2 + 21*t[43] + 
       9*t[44] - 210*t[45] + 3*t[46] + 198*t[47] - (2235*t[48])/8 - 
       (75*t[49])/2 - (183*t[50])/8 + 12*t[51] + (63*t[52])/8 + 
       (75*t[53])/2 - (1461*t[54])/8 - 6*t[55] - (99*t[59])/2 - 
       (777*t[60])/4 - (1683*t[61])/4 + (2133*t[62])/8 - (345*t[63])/8 + 
       (549*t[64])/8 + (125*t[65])/4 + (1101*t[66])/4 - 6*t[68] - 24*t[70] + 
       24*t[71] + 24*t[72] - 48*t[74] - 72*t[75] - 45*t[76] + 42*t[77] + 
       33*t[78] - 60*t[79] + 132*t[80] + 60*t[81] + 27*t[82] - 
       (273*t[84])/4 + (351*t[85])/4 + 144*t[86] - (411*t[87])/4 - 
       (1371*t[88])/8 - (1023*t[89])/8 + t[91] - 6*t[93] + 36*t[95] + 
       12*t[96] - 33*t[97] + 792*t[98] - 864*t[99] - 420*t[100] - 
       36*t[101]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*
      ((-3*t[1])/2 - (315*t[2])/2 + (549*t[3])/4 + 420*t[4] - (159*t[5])/2 - 
       (735*t[6])/8 - 213*t[7] - 147*t[8] - (581*t[9])/4 - (9*t[10])/2 + 
       (1923*t[11])/8 - 63*t[12] + (710*t[13])/3 - (1417*t[14])/8 - 
       (422*t[15])/3 + 36*t[17] - 60*t[20] - 12*t[23] + 6*t[24] - 48*t[28] + 
       33*t[29] + 135*t[30] - 76*t[32] + 9*t[33] - 93*t[34] + 42*t[37] + 
       9*t[38] - 21*t[39] + 52*t[40] - (75*t[41])/2 + (75*t[42])/2 - 
       27*t[43] + (159*t[44])/2 + 15*t[45] + 9*t[47] - (633*t[48])/8 + 
       (177*t[49])/2 - (381*t[50])/8 - (159*t[51])/4 - (3*t[52])/8 - 
       (129*t[53])/2 - (1299*t[54])/8 - 3*t[55] - (45*t[59])/2 - 
       (1107*t[60])/4 - (27*t[61])/4 + (1149*t[62])/8 + (3687*t[63])/8 + 
       (33*t[64])/8 - (2305*t[65])/4 - (1057*t[66])/4 - 66*t[68] - 24*t[70] + 
       24*t[71] - 36*t[72] - 12*t[74] - 72*t[75] + 132*t[76] - 180*t[78] + 
       24*t[79] - 192*t[80] - 33*t[81] - 3*t[82] - 6*t[83] - (471*t[84])/4 + 
       (387*t[85])/4 - 144*t[86] - (951*t[87])/4 - (1911*t[88])/8 - 
       (285*t[89])/8 - 6*t[90] - t[91] - 6*t[93] + 36*t[95] + 60*t[96] - 
       15*t[97] + 792*t[98] - 864*t[99] - 420*t[100] - 36*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((5*t[1])/2 - (17*t[2])/2 + (1259*t[3])/24 + (631*t[4])/24 - 
       (53*t[5])/24 - (109*t[6])/4 + (551*t[7])/24 - (1297*t[8])/24 - 
       (25*t[9])/3 - (2107*t[10])/48 + (77*t[11])/24 + (97*t[12])/48 + 
       (4651*t[13])/144 - (12785*t[14])/288 - (5365*t[15])/216 - t[17] + 
       4*t[18] - (4*t[19])/3 + 5*t[20] + 8*t[21] - 8*t[23] + (25*t[24])/3 - 
       (7*t[25])/3 - (8*t[26])/3 + (4*t[27])/3 + (7*t[29])/6 + 3*t[30] + 
       5*t[31] - (41*t[32])/6 - (23*t[33])/3 + 6*t[34] - t[37] + 7*t[38] + 
       7*t[39] - (10*t[40])/3 + (7*t[41])/3 - t[42]/3 - (185*t[43])/24 + 
       (9*t[44])/4 - (29*t[45])/4 - (35*t[46])/6 + (70*t[47])/3 - 
       (373*t[48])/24 + (241*t[49])/48 + (17*t[50])/8 + (413*t[51])/96 - 
       (91*t[52])/24 - (209*t[53])/48 - (103*t[54])/4 + t[55]/6 + 
       (2*t[58])/3 - (49*t[59])/6 - (245*t[60])/8 - (281*t[61])/8 + 
       (1115*t[62])/48 - (1219*t[63])/48 + (1769*t[64])/48 + 
       (5711*t[65])/72 - (265*t[66])/8 - t[67]/6 - t[68]/6 + 5*t[69] - 
       (31*t[70])/3 + (31*t[71])/3 - 6*t[72] - (20*t[74])/3 + (119*t[76])/6 - 
       2*t[77] - (22*t[78])/3 + (91*t[80])/3 + (26*t[81])/3 - (9*t[82])/2 - 
       (7*t[84])/8 + (127*t[85])/8 + (92*t[86])/3 + (107*t[87])/24 - 
       (925*t[88])/48 + (751*t[89])/16 + (3*t[90])/2 + t[92] - t[94] + 
       (14*t[95])/3 + (14*t[96])/3 - (11*t[97])/3 + 120*t[98] - 88*t[99] + 
       9*t[100] - 28*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*
      ((-39*t[1])/4 + (717*t[2])/8 + (787*t[3])/4 - 13*t[4] + 
       (2337*t[5])/16 - (1277*t[6])/16 + 13*t[7] - 445*t[8] - 
       (2261*t[9])/16 - 129*t[10] + (819*t[11])/16 + (689*t[12])/16 + 
       (4283*t[13])/72 - 101*t[14] - (11665*t[15])/288 - t[17] - 20*t[20] - 
       24*t[24] + 2*t[27] + 14*t[28] - 18*t[29] + 23*t[30] - (107*t[32])/2 - 
       (25*t[33])/2 + (81*t[34])/2 - 3*t[37] - (9*t[38])/2 - 4*t[39] + 
       15*t[40] - (21*t[41])/4 + (21*t[42])/4 + (13*t[43])/2 - 2*t[44] - 
       77*t[45] + t[46] + 67*t[47] - (1903*t[48])/16 - (21*t[49])/2 - 
       (195*t[50])/16 + (9*t[51])/4 + (59*t[52])/16 + (21*t[53])/2 - 
       (1409*t[54])/16 - 2*t[55] - (99*t[59])/4 - (599*t[60])/4 - 
       (1411*t[61])/8 + (1015*t[62])/8 + (93*t[63])/2 + (1669*t[64])/16 - 
       (683*t[65])/24 + (1789*t[66])/24 - 2*t[68] - 12*t[70] + 12*t[71] + 
       8*t[72] + 8*t[73] - 3*t[74] - 44*t[75] - (47*t[76])/2 + 9*t[77] + 
       19*t[78] - 20*t[79] + 50*t[80] + (95*t[81])/4 + (71*t[82])/4 - 
       2*t[83] - (341*t[84])/8 + 25*t[85] + 50*t[86] - (49*t[87])/2 - 
       (279*t[88])/4 - (1545*t[89])/16 + t[91]/3 - 2*t[93] + 18*t[95] + 
       6*t[96] - (33*t[97])/2 + 276*t[98] - 288*t[99] - 173*t[100] - 
       18*t[101]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      ((-3*t[1])/4 - (583*t[2])/8 + (851*t[3])/8 + (655*t[4])/4 - 
       (689*t[5])/16 - (943*t[6])/16 - 82*t[7] - (135*t[8])/2 - 
       (1791*t[9])/16 + (33*t[10])/8 + (1769*t[11])/16 - (395*t[12])/16 + 
       (3067*t[13])/36 - (5339*t[14])/48 - (12217*t[15])/288 + 11*t[17] - 
       20*t[20] - 6*t[23] + 4*t[24] - 24*t[28] + (31*t[29])/2 + 66*t[30] - 
       (77*t[32])/2 + (5*t[33])/2 - (93*t[34])/2 + 13*t[37] + (9*t[38])/2 - 
       13*t[39] + (53*t[40])/2 - (47*t[41])/4 + (47*t[42])/4 - (19*t[43])/2 + 
       (155*t[44])/4 + (15*t[45])/2 + (9*t[47])/2 - (505*t[48])/16 + 
       (193*t[49])/8 - (189*t[50])/16 - (157*t[51])/16 - (187*t[52])/16 - 
       (97*t[53])/8 - (1039*t[54])/16 - t[55] - (17*t[59])/4 - 
       (787*t[60])/4 + (215*t[61])/8 + (101*t[62])/2 + (2043*t[63])/8 + 
       (607*t[64])/16 - (1435*t[65])/8 - (35*t[66])/8 - 21*t[68] - 12*t[70] + 
       12*t[71] - 12*t[72] + 8*t[73] - 7*t[74] - 44*t[75] + 37*t[76] - 
       (111*t[78])/2 + 8*t[79] - 64*t[80] - (77*t[81])/4 + (29*t[82])/4 - 
       6*t[83] - (487*t[84])/8 - t[85]/4 - 50*t[86] - (197*t[87])/4 - 
       (657*t[88])/8 - (461*t[89])/16 - 3*t[90] - t[91]/3 - 2*t[93] + 
       18*t[95] + 30*t[96] - (15*t[97])/2 + 276*t[98] - 288*t[99] - 
       173*t[100] - 18*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*(7*t[1] + (171*t[2])/8 + (91*t[3])/4 - 
       47*t[4] - (137*t[5])/8 - (69*t[6])/16 + (327*t[7])/8 - (773*t[8])/8 + 
       (95*t[9])/8 - (449*t[10])/16 - (557*t[11])/16 - (107*t[12])/16 - 
       (11413*t[13])/144 - (95*t[14])/2 - (751*t[15])/72 + t[16]/2 - 
       2*t[17] - 5*t[19] + 6*t[20] - 2*t[21] - 6*t[22] + 2*t[23] - 6*t[24] - 
       18*t[25] + 21*t[26] - 2*t[28] - 11*t[29] + 18*t[30] + 4*t[31] - 
       (3*t[32])/2 - (5*t[33])/2 + 14*t[34] + 6*t[35] - t[36]/2 + 
       (33*t[37])/2 + 8*t[38] + (7*t[39])/2 + (9*t[40])/2 - 3*t[41] + 
       3*t[42] + (13*t[43])/8 + (15*t[44])/2 - (53*t[45])/4 + 9*t[46] + 
       t[47] - (435*t[48])/16 + (277*t[49])/16 + (365*t[50])/16 - 
       (63*t[51])/8 - (309*t[52])/16 + (111*t[53])/16 + (391*t[54])/16 + 
       t[55]/2 - 2*t[57] - (3*t[58])/2 - 9*t[59] - (773*t[60])/8 - 
       (1341*t[61])/8 + (1387*t[62])/8 + (299*t[63])/2 - (105*t[64])/16 - 
       57*t[65] + (1909*t[66])/12 + t[67] - t[68] + t[69] - 11*t[70] + 
       10*t[71] - 15*t[72] + 2*t[73] + (5*t[74])/2 - 14*t[75] + 
       (75*t[76])/2 - 7*t[77] - (113*t[78])/2 - 6*t[79] + 18*t[80] + 
       (11*t[81])/2 + (33*t[82])/2 + (29*t[83])/2 - (131*t[84])/4 + 
       (223*t[85])/4 - 26*t[86] - (41*t[87])/2 - (251*t[88])/4 - 
       (63*t[89])/4 - 2*t[93] - t[94] + 11*t[95] + 13*t[96] - (11*t[97])/2 + 
       228*t[98] - 216*t[99] - 49*t[100] - 18*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((43*t[1])/4 - (251*t[2])/8 - (179*t[3])/8 - (127*t[4])/8 + 6*t[5] - 
       (193*t[6])/4 + (1089*t[7])/16 + (115*t[8])/16 + (261*t[9])/16 - 
       (871*t[10])/8 + (1381*t[11])/16 + (47*t[12])/16 + (10349*t[13])/96 + 
       (5999*t[14])/96 + (2285*t[15])/288 - t[16]/2 + 13*t[18] + 2*t[19] + 
       t[20] + 17*t[21] - 5*t[22] - 17*t[23] + 17*t[24] + 14*t[25] - 
       2*t[26] + 5*t[27] - 6*t[28] - 5*t[29] + 3*t[30] + 3*t[31] - 4*t[32] + 
       (13*t[33])/2 + 13*t[34] - 2*t[35] - 13*t[36] - 4*t[37] + 3*t[38] + 
       4*t[39] + (21*t[40])/2 + (25*t[41])/4 + (3*t[42])/4 - (157*t[43])/16 + 
       15*t[44] + (21*t[45])/8 - (17*t[46])/4 - (5*t[47])/4 - 
       (303*t[48])/16 + (441*t[49])/16 - (167*t[50])/16 - (357*t[51])/32 - 
       (233*t[52])/16 - (385*t[53])/16 + t[54]/16 - t[55]/2 + t[58] - 
       (17*t[59])/2 + (717*t[60])/8 + 101*t[61] - (755*t[62])/16 - 
       (1363*t[63])/16 + (283*t[64])/8 + 151*t[65] - (3053*t[66])/12 - 
       t[67] - 8*t[68] - 8*t[69] - 26*t[70] + 25*t[71] - 6*t[72] - 6*t[73] + 
       8*t[74] + 2*t[75] + 64*t[76] + 11*t[77] - 46*t[78] + 74*t[80] + 
       (89*t[81])/4 + (53*t[82])/4 + 8*t[83] + (43*t[84])/4 + (359*t[85])/8 - 
       (23*t[86])/2 - (227*t[87])/8 - (339*t[88])/16 + 91*t[89] - t[91]/6 - 
       t[92]/2 - 2*t[93] + t[94] - 2*t[95] + t[97] + 228*t[98] - 216*t[99] - 
       49*t[100] - 18*t[101]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*(t[1]/2 - (8*t[2])/3 - 
       (2833*t[3])/48 + (377*t[4])/16 + (179*t[5])/12 + (1589*t[6])/32 - 
       (1669*t[7])/48 + (5567*t[8])/48 - (123*t[9])/4 - (1027*t[10])/96 + 
       (1747*t[11])/96 - (2677*t[12])/96 - (11327*t[13])/864 + 
       (1169*t[14])/64 - (1009*t[15])/108 - t[16]/6 + (2*t[17])/3 + 
       11*t[20] - 2*t[21] - 5*t[22] + t[23]/3 + (8*t[24])/3 + (8*t[25])/3 - 
       (53*t[26])/6 - (14*t[27])/3 - 5*t[28] - (23*t[29])/4 - (49*t[30])/6 - 
       5*t[31] + 18*t[32] + (4*t[33])/3 - (50*t[34])/3 + 9*t[35] - 3*t[36] - 
       t[37]/3 + 2*t[38] - (11*t[39])/3 + (17*t[40])/3 - t[41]/2 + t[42]/2 + 
       (137*t[43])/48 + (85*t[44])/24 + (335*t[45])/8 - 6*t[46] - 
       (159*t[47])/4 + (4151*t[48])/96 - (659*t[49])/96 - (831*t[50])/32 + 
       (1457*t[51])/192 + (383*t[52])/32 - (269*t[53])/96 + (1017*t[54])/32 - 
       t[55]/6 - t[56]/2 + t[57] - t[58]/6 - (4*t[59])/3 + (1163*t[60])/6 + 
       (961*t[61])/6 - (493*t[62])/8 - (3137*t[63])/24 - 25*t[64] - 
       (127*t[65])/9 - (1843*t[66])/36 - t[68] + 3*t[69] + (22*t[70])/3 - 
       (25*t[71])/3 + (4*t[72])/3 + 4*t[73] + 12*t[74] - 2*t[75] - 
       (143*t[76])/6 - t[77]/6 + (65*t[78])/2 + (13*t[79])/2 - (55*t[80])/3 + 
       t[81]/2 - (38*t[82])/3 - (163*t[83])/6 + (385*t[84])/6 - 
       (133*t[85])/12 - (37*t[86])/2 + (83*t[87])/6 + (527*t[88])/12 + 
       (165*t[89])/4 - (52*t[95])/3 - (49*t[96])/3 + t[97]/3 - 196*t[98] + 
       216*t[99] - 124*t[100] - 16*t[101]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((-233*t[1])/12 + 
       (275*t[2])/12 + (625*t[3])/24 - (677*t[4])/16 + (1537*t[5])/96 + 
       (875*t[6])/16 - (459*t[7])/8 + (163*t[8])/3 - (2963*t[9])/96 - 
       (527*t[10])/32 - (487*t[11])/4 + (181*t[12])/48 - (2231*t[13])/36 - 
       (1201*t[14])/576 + (1453*t[15])/64 - (5*t[17])/2 - (8*t[18])/3 + 
       t[19] - (29*t[20])/3 - (5*t[21])/3 + 17*t[22] - 2*t[23] + t[24] + 
       (25*t[25])/3 - t[26]/2 - (7*t[27])/3 + 5*t[28] - (47*t[29])/12 - 
       (41*t[30])/3 - 4*t[31] - 10*t[32] - (13*t[33])/3 + (49*t[34])/6 - 
       4*t[35] + (5*t[36])/3 - 3*t[37] - (43*t[38])/3 + 10*t[39] - 
       (103*t[40])/12 - (11*t[41])/4 + (23*t[42])/12 + (5*t[43])/48 - 
       (431*t[44])/24 - (247*t[45])/12 - (23*t[46])/6 + (9*t[47])/2 + 
       (661*t[48])/48 - (863*t[49])/96 - (575*t[50])/48 - (685*t[51])/192 + 
       (413*t[52])/16 - (577*t[53])/96 + (491*t[54])/24 - t[55]/6 + 
       (3*t[56])/2 + 3*t[57] + (5*t[58])/6 + (49*t[59])/4 - (791*t[60])/12 - 
       (395*t[61])/4 + (6083*t[62])/48 + (7289*t[63])/48 - (1543*t[64])/24 + 
       (3595*t[65])/72 + (2081*t[66])/9 + 6*t[68] - 4*t[69] + 2*t[70] - 
       2*t[71] - 10*t[72] - 10*t[73] + 12*t[74] + 11*t[75] - (337*t[76])/6 + 
       (7*t[77])/3 + (199*t[78])/6 + 2*t[79] - (121*t[80])/6 + 5*t[81] + 
       (109*t[82])/6 - (86*t[83])/3 + (557*t[84])/24 - (251*t[85])/24 + 
       (19*t[86])/12 + (313*t[87])/24 - (119*t[88])/48 - (947*t[89])/24 - 
       t[92]/3 - 14*t[95] - (56*t[96])/3 - (11*t[97])/2 - 124*t[98] + 
       132*t[99] - 52*t[100] - 16*t[101]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((41*t[1])/2 + 83*t[2] - (253*t[3])/4 - 
       (639*t[4])/4 - (107*t[5])/4 + (643*t[6])/8 + (617*t[7])/2 - 71*t[8] + 
       (435*t[9])/2 - (887*t[10])/4 + (169*t[11])/8 + 59*t[12] - 
       (845*t[13])/9 + (5911*t[14])/48 - (1507*t[15])/72 - 4*t[16] - t[17] - 
       4*t[19] - 28*t[20] - 4*t[21] + 16*t[22] + 4*t[23] + 8*t[24] - 
       30*t[25] + 13*t[26] - 2*t[27] - 20*t[28] - 2*t[29] - 6*t[30] + 
       14*t[31] + 17*t[32] - 22*t[33] + 16*t[34] - 8*t[35] + 23*t[36] + 
       13*t[37] + 12*t[38] + 35*t[39] - 48*t[40] + 3*t[41] - 3*t[42] - 
       (71*t[43])/4 + 19*t[44] - 47*t[45] + 3*t[46] + 36*t[47] - 
       (593*t[48])/8 + (37*t[49])/2 + (23*t[50])/8 - (247*t[51])/16 + 
       (425*t[52])/8 + (3*t[53])/2 + (279*t[54])/8 + 2*t[56] + 4*t[57] + 
       4*t[58] - (29*t[59])/2 - (509*t[60])/4 + 43*t[61] - 208*t[62] + 
       (531*t[63])/4 + (877*t[64])/4 - (3793*t[65])/12 - (91*t[66])/12 + 
       t[68] - 12*t[69] + 2*t[70] - 2*t[71] - 12*t[72] + 53*t[74] - 
       52*t[75] + 57*t[76] - t[77] - 131*t[78] + 4*t[79] - 64*t[80] + 
       (13*t[81])/2 + (73*t[82])/2 + 80*t[83] - (451*t[84])/4 - (3*t[85])/2 + 
       171*t[86] - 91*t[87] - (81*t[88])/2 - (1563*t[89])/8 - 6*t[93] + 
       18*t[95] + 22*t[96] + 17*t[97] + 336*t[98] - 380*t[99] - 320*t[100] - 
       12*t[101]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 
       1 - u]*((41*t[1])/2 - (41*t[2])/2 - (139*t[3])/2 + 49*t[4] - 
       (913*t[5])/4 + 59*t[6] + (1355*t[7])/8 + (1587*t[8])/8 + 
       (2585*t[9])/8 + (33*t[10])/8 + (2447*t[11])/8 + (565*t[12])/4 + 
       (18845*t[13])/144 + (5551*t[14])/24 - (3947*t[15])/144 + 10*t[18] + 
       2*t[21] - 4*t[22] - 2*t[23] - 6*t[24] - 17*t[25] + 17*t[26] - 
       15*t[27] - 32*t[28] - 30*t[29] + 12*t[30] + 8*t[31] + 5*t[32] - 
       14*t[33] - 2*t[34] + 24*t[35] - 30*t[36] - 24*t[37] + t[38] + 
       38*t[39] - 59*t[40] + (19*t[41])/2 - (17*t[42])/2 + (47*t[43])/8 + 
       34*t[44] - (107*t[45])/4 - (9*t[46])/2 + (153*t[47])/2 - 
       (677*t[48])/8 + (65*t[49])/4 - (149*t[50])/8 - (13*t[51])/2 + 
       (453*t[52])/8 + (47*t[53])/4 - (115*t[54])/8 + 5*t[58] + 4*t[59] + 
       (1093*t[60])/4 + (1799*t[61])/4 - (3757*t[62])/8 - (1031*t[63])/8 - 
       (63*t[64])/8 - (2971*t[65])/12 - (2099*t[66])/4 - 16*t[69] - 8*t[70] + 
       8*t[71] - 24*t[72] - 16*t[73] - 12*t[74] - 4*t[75] + 45*t[76] + 
       16*t[77] - 57*t[78] - 4*t[79] + 83*t[80] + 32*t[81] - (73*t[82])/2 + 
       64*t[83] - (161*t[84])/4 - (197*t[85])/4 + 141*t[86] - (575*t[87])/4 - 
       (447*t[88])/8 + (67*t[89])/8 + t[92] - 4*t[93] + 8*t[95] + 32*t[96] + 
       24*t[97] + 336*t[98] - 380*t[99] - 320*t[100] - 12*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-11*t[1])/2 + (15*t[2])/4 + 43*t[3] + (17*t[4])/8 + (851*t[5])/16 - 
       (901*t[6])/16 - (573*t[7])/4 - (127*t[8])/4 - (1827*t[9])/16 + 
       (203*t[10])/16 - (1101*t[11])/16 - (205*t[12])/4 + (1283*t[13])/72 - 
       (15403*t[14])/96 - (6365*t[15])/288 + 4*t[17] - 2*t[19] - 18*t[20] + 
       2*t[21] + 12*t[22] - 2*t[23] + 7*t[24] + 11*t[27] + 2*t[28] - 
       (5*t[29])/2 + 27*t[30] - (23*t[32])/2 + 12*t[33] + 4*t[34] - 2*t[35] + 
       8*t[37] - 16*t[39] + (29*t[40])/2 - (9*t[41])/2 + (9*t[42])/2 - 
       (7*t[43])/8 + (25*t[44])/4 + (57*t[45])/2 + (11*t[46])/2 - 46*t[47] - 
       (11*t[48])/16 - (143*t[49])/16 - (135*t[50])/16 + (95*t[51])/32 - 
       (25*t[52])/16 - (33*t[53])/16 - (327*t[54])/16 + (3*t[55])/2 + t[56] + 
       2*t[57] - (33*t[59])/4 - (569*t[60])/4 - (1183*t[61])/4 + 
       (1651*t[62])/8 + (91*t[63])/8 + (759*t[64])/8 + (479*t[65])/12 + 
       (689*t[66])/12 - 8*t[68] - 2*t[69] - 2*t[70] + 2*t[71] - 18*t[72] + 
       12*t[73] + 6*t[74] - 16*t[75] + 5*t[76] - t[77] - (21*t[78])/2 + 
       12*t[79] - 44*t[80] - (23*t[81])/2 + 25*t[82] + 21*t[83] + 
       (3*t[84])/2 + 55*t[85] - (73*t[86])/2 + (181*t[87])/2 + 
       (145*t[88])/4 + (461*t[89])/8 - t[91]/6 - 2*t[93] - 9*t[96] - 
       (29*t[97])/2 - 72*t[98] + 48*t[99] + 311*t[100] - 12*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-3*t[1] - 15*t[2] + (435*t[3])/8 - (95*t[4])/8 + (283*t[5])/16 - 
       (659*t[6])/16 - (59*t[7])/4 - (321*t[8])/2 - (1319*t[9])/16 + 
       (19*t[10])/16 - (1435*t[11])/16 - (13*t[12])/4 - (799*t[13])/36 - 
       (9839*t[14])/96 + (2053*t[15])/288 - (3*t[17])/2 - 2*t[18] - 2*t[19] + 
       2*t[20] - 2*t[21] + 12*t[22] + 5*t[23] - 18*t[24] + 5*t[27] - 
       2*t[28] + 3*t[29] + 19*t[30] + 2*t[31] - (21*t[32])/2 - 4*t[33] - 
       15*t[34] - 4*t[35] + (5*t[38])/2 - (29*t[39])/2 + 25*t[40] - 6*t[41] + 
       5*t[42] + (17*t[43])/8 + (65*t[44])/2 - 9*t[45] + (5*t[46])/2 + 
       (45*t[47])/2 - (445*t[48])/16 - (327*t[49])/16 + (415*t[50])/16 + 
       (351*t[51])/32 - (895*t[52])/16 + (263*t[53])/16 - (241*t[54])/16 - 
       t[55]/2 + t[56] + 2*t[57] - t[59] - (391*t[60])/4 - (919*t[61])/4 + 
       (1707*t[62])/8 + (31*t[63])/8 - (813*t[64])/8 + (587*t[65])/4 + 
       (1751*t[66])/6 + (7*t[68])/2 + 8*t[69] - 14*t[72] + 12*t[73] - 
       24*t[74] - 12*t[75] - (75*t[76])/2 - 4*t[77] + 47*t[78] - 4*t[79] - 
       28*t[80] - (29*t[81])/2 + (3*t[82])/2 - 7*t[83] + (21*t[84])/2 + 
       (47*t[85])/2 - (141*t[86])/2 + 65*t[87] + (47*t[88])/2 + 79*t[89] + 
       t[90]/2 + t[91]/6 - 7*t[96] - 12*t[97] - 72*t[98] + 48*t[99] + 
       311*t[100] - 12*t[101]) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-55*t[1])/4 + (497*t[2])/48 - (2053*t[3])/96 + (1877*t[4])/48 - 
       (421*t[5])/48 + (1135*t[6])/64 - (335*t[7])/8 + (1423*t[8])/48 - 
       (329*t[9])/32 - (3895*t[10])/96 + (1773*t[11])/64 - (63*t[12])/32 + 
       (509*t[13])/36 + (385*t[14])/18 + (1357*t[15])/864 - (3*t[17])/8 - 
       t[18] + t[19]/2 + t[20]/2 - t[21]/2 + t[23]/2 - (31*t[24])/12 + 
       7*t[25] - t[26]/4 - (29*t[27])/12 + (7*t[28])/6 - (3*t[29])/8 - 
       (7*t[30])/2 - (7*t[31])/6 + (161*t[32])/24 - (7*t[33])/3 + 
       (25*t[34])/12 - (7*t[35])/3 + (13*t[36])/6 - (5*t[37])/6 - 
       (205*t[38])/24 - (13*t[39])/12 + t[40] - (35*t[41])/24 + 
       (23*t[42])/24 + (19*t[43])/16 - (283*t[44])/48 + (233*t[45])/24 - 
       (25*t[46])/8 - 17*t[47] + (129*t[48])/64 + (205*t[49])/96 - 
       (2905*t[50])/192 - (163*t[51])/64 + (665*t[52])/192 - 
       (1109*t[53])/96 + (1453*t[54])/192 + (3*t[55])/8 + t[58]/4 + 
       (39*t[59])/8 + (2721*t[60])/32 + (8977*t[61])/96 + (1805*t[62])/192 - 
       (341*t[63])/192 - (9107*t[64])/192 - (9593*t[65])/288 - 
       (23783*t[66])/288 + t[67]/2 + (7*t[68])/4 + (17*t[70])/3 - 
       (17*t[71])/3 - (9*t[72])/2 + 4*t[73] + (13*t[74])/3 - 4*t[75] - 
       (16*t[76])/3 - (29*t[77])/6 + (33*t[78])/2 - (73*t[80])/3 + 
       (23*t[81])/2 - (235*t[82])/12 - (13*t[83])/3 + (3539*t[84])/96 + 
       (249*t[85])/32 - (27*t[86])/2 - (1207*t[87])/96 + (2473*t[88])/192 - 
       (311*t[89])/64 + t[92]/2 - t[94]/2 - (19*t[95])/3 - (20*t[96])/3 - 
       (5*t[97])/6 - 79*t[98] + 133*t[99] - 193*t[100] - 9*t[101]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*((-25*t[1])/8 + 
       (481*t[2])/48 - (83*t[3])/24 + (271*t[4])/48 - (26*t[5])/3 + 
       (2093*t[6])/192 + (327*t[7])/16 - (1315*t[8])/48 + (511*t[9])/32 - 
       (925*t[10])/96 - (1051*t[11])/64 - (1157*t[12])/96 - 
       (3271*t[13])/864 + (2461*t[14])/144 + (22039*t[15])/1728 - t[17]/4 - 
       (7*t[18])/2 - (7*t[19])/2 + (5*t[20])/6 - (5*t[21])/2 - t[22] + 
       (11*t[23])/4 - (31*t[24])/6 + (3*t[25])/2 - (3*t[26])/4 + 
       (5*t[27])/12 + (13*t[29])/4 + (23*t[30])/6 - (4*t[31])/3 - 
       (31*t[32])/24 - (31*t[33])/12 + (11*t[34])/12 - t[36]/3 - 
       (3*t[37])/2 - (13*t[38])/3 + 3*t[39] + (33*t[40])/4 - (67*t[41])/24 + 
       (7*t[42])/24 + (119*t[43])/48 - (47*t[44])/24 - (29*t[45])/8 + 
       (17*t[46])/8 - (5*t[47])/6 + (113*t[48])/64 - (667*t[49])/96 - 
       (73*t[50])/192 - (257*t[51])/192 - (3047*t[52])/192 + (635*t[53])/96 + 
       (2825*t[54])/192 + t[55]/8 - t[58]/4 + (281*t[59])/48 - 
       (311*t[60])/96 + (1289*t[61])/32 + (6923*t[62])/192 + 
       (10709*t[63])/192 - (14317*t[64])/192 + (65*t[65])/96 + 
       (19127*t[66])/288 - t[67]/8 - t[68]/8 - t[69]/2 + (15*t[70])/2 - 
       (15*t[71])/2 - (7*t[72])/3 - t[73]/6 + (3*t[74])/4 + t[75]/6 - 
       5*t[76] + (7*t[77])/6 + (85*t[78])/6 + (4*t[79])/3 + 4*t[80] - 
       t[81]/24 + (25*t[82])/24 - t[83]/2 + (1727*t[84])/96 + 
       (265*t[85])/96 - 23*t[86] - (1301*t[87])/96 - (517*t[88])/192 + 
       (767*t[89])/192 + (3*t[90])/8 - t[92]/2 + t[94]/2 - t[95]/3 - 
       (35*t[97])/24 - 19*t[98] + 63*t[99] - 133*t[100] - 9*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*
      ((-13*t[1])/4 + (217*t[2])/8 + (197*t[3])/4 + 20*t[4] + (673*t[5])/16 - 
       (121*t[6])/16 - (39*t[7])/2 - (219*t[8])/2 - (717*t[9])/16 - 
       39*t[10] + (743*t[11])/16 - (15*t[12])/16 + (3263*t[13])/72 - 
       (99*t[14])/4 - (955*t[15])/96 + 6*t[28] - 6*t[29] + 7*t[30] - 
       (41*t[32])/2 + (7*t[33])/2 + (27*t[34])/2 - t[37] - (3*t[38])/2 - 
       2*t[39] + 5*t[40] - (7*t[41])/4 + (7*t[42])/4 - t[43]/2 - 
       (11*t[44])/2 - 7*t[45] + t[47] - (427*t[48])/16 - t[49] - 
       (175*t[50])/16 - t[51]/4 + (119*t[52])/16 + t[53] - (237*t[54])/16 - 
       (33*t[59])/4 - (137*t[60])/4 + (169*t[61])/8 + (109*t[62])/8 + 
       (85*t[63])/4 + (769*t[64])/16 - (907*t[65])/24 - (1819*t[66])/24 - 
       4*t[70] + 4*t[71] + 8*t[73] + 13*t[74] - 20*t[75] + (3*t[76])/2 + 
       3*t[77] + 8*t[78] + 6*t[80] + (47*t[81])/4 - (21*t[82])/4 - 
       (49*t[84])/8 - 3*t[85] + 2*t[86] - 19*t[87] - 27*t[88] - 
       (681*t[89])/16 + 6*t[95] + 2*t[96] - (11*t[97])/2 + 60*t[98] - 
       165*t[100] - 6*t[101]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 
       1 - u]*(-t[1]/4 - (171*t[2])/8 + (455*t[3])/8 + (127*t[4])/4 - 
       (273*t[5])/16 - (235*t[6])/16 - 6*t[7] - (5*t[8])/2 - (943*t[9])/16 - 
       (171*t[10])/8 + (829*t[11])/16 - (99*t[12])/16 + (319*t[13])/18 - 
       (1835*t[14])/48 + (901*t[15])/96 - t[17] - 2*t[23] + 2*t[24] - 
       8*t[28] + (9*t[29])/2 + (43*t[30])/2 - 13*t[32] - 2*t[33] - 
       (31*t[34])/2 - t[37] + (3*t[38])/2 - (9*t[39])/2 + 9*t[40] - 
       (13*t[41])/4 + (13*t[42])/4 - t[43]/2 + (49*t[44])/4 - (11*t[45])/2 + 
       (3*t[47])/2 - (141*t[48])/16 - (11*t[49])/8 + (7*t[50])/16 + 
       (23*t[51])/16 - (135*t[52])/16 + (43*t[53])/8 - (243*t[54])/16 - 
       (7*t[59])/4 - (339*t[60])/4 + (535*t[61])/8 + 5*t[62] + 
       (923*t[63])/8 + (415*t[64])/16 - (163*t[65])/8 + (763*t[66])/24 + 
       t[68] - 4*t[70] + 4*t[71] + 8*t[73] - 3*t[74] - 20*t[75] - 5*t[76] + 
       (9*t[78])/2 - (25*t[81])/4 + (33*t[82])/4 - 4*t[83] - (151*t[84])/8 - 
       (69*t[85])/4 - 6*t[86] + (37*t[87])/4 - (103*t[88])/8 - 
       (605*t[89])/16 - t[90] + 6*t[95] + 10*t[96] - (5*t[97])/2 + 60*t[98] - 
       165*t[100] - 6*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*(-t[1] + 8*t[2] - (981*t[3])/8 + (61*t[4])/4 - 
       (59*t[5])/2 + (483*t[6])/8 - (231*t[7])/4 + (507*t[8])/4 - 
       (65*t[9])/4 + (259*t[10])/8 - (271*t[11])/8 + (49*t[12])/8 - 
       (77*t[13])/9 + (3469*t[14])/48 + (5101*t[15])/144 + t[17]/2 + 
       8*t[19] + 20*t[20] - 8*t[21] + 10*t[23] - 12*t[24] + 2*t[25] - 
       2*t[26] - 2*t[27] - 10*t[28] - (29*t[29])/2 + 5*t[30] + (33*t[32])/2 + 
       t[33] + 27*t[34] + 12*t[35] - 2*t[36] - 5*t[37] - 10*t[39] - 7*t[41] + 
       7*t[42] - 4*t[43] - (75*t[44])/4 + 13*t[45] - t[46] - (77*t[47])/2 + 
       (33*t[48])/8 + t[49]/8 + (25*t[50])/8 + (69*t[51])/16 - (17*t[52])/8 - 
       (25*t[53])/8 + (503*t[54])/8 - 4*t[57] - (9*t[59])/2 + (677*t[60])/4 + 
       (269*t[61])/4 + (169*t[62])/4 - (105*t[63])/4 - (1119*t[64])/8 - 
       (127*t[65])/2 - 22*t[66] - 2*t[68] + 8*t[69] + 6*t[70] - 6*t[71] + 
       6*t[72] - 8*t[73] - 7*t[74] + 4*t[75] - 38*t[76] - t[77] + 70*t[78] - 
       2*t[79] - 58*t[80] + 3*t[81] - 6*t[82] + 24*t[83] + 48*t[84] - 
       (5*t[85])/2 - 89*t[86] - (3*t[87])/2 + (113*t[88])/4 + (23*t[89])/4 + 
       t[90] + 2*t[93] - 10*t[95] - 12*t[96] - 180*t[98] + 272*t[99] - 
       90*t[100] - 6*t[101]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*(-t[1]/2 - (71*t[2])/4 - (773*t[3])/8 - 46*t[4] - 
       (139*t[5])/2 + (245*t[6])/4 + 38*t[7] + 170*t[8] + 82*t[9] + 
       (215*t[10])/4 - (201*t[11])/2 + (85*t[12])/4 - (2653*t[13])/72 + 
       (183*t[14])/8 + (319*t[15])/144 - t[17]/2 + 2*t[20] - 4*t[22] - 
       (3*t[23])/2 + 4*t[25] - 2*t[26] + 8*t[27] - 12*t[28] - t[29]/2 - 
       3*t[30] + (59*t[32])/2 - 7*t[33] - (13*t[34])/2 + 8*t[35] + 2*t[36] + 
       t[37] - (5*t[38])/2 - 3*t[39] - (3*t[40])/2 + (7*t[41])/2 - 
       (7*t[42])/2 - (23*t[43])/4 - t[44]/4 + 20*t[45] + 3*t[46] - 
       (51*t[47])/2 + 26*t[48] - 27*t[49] + 7*t[50] + (91*t[51])/8 - 
       4*t[52] + 22*t[53] + (361*t[54])/4 + t[55] + (27*t[59])/4 + 
       (33*t[60])/4 + (209*t[61])/4 - (361*t[62])/8 - (459*t[63])/8 + 
       (239*t[64])/8 + (1327*t[65])/12 + (971*t[66])/6 + 3*t[68] + 2*t[69] + 
       6*t[70] - 6*t[71] + 8*t[72] - 10*t[73] + 5*t[74] + 6*t[75] - 
       27*t[76] + 2*t[77] + 52*t[78] + 12*t[79] - 30*t[80] - 16*t[81] + 
       27*t[82] + 51*t[83] + (157*t[84])/4 + (5*t[85])/4 + 40*t[86] + 
       (219*t[87])/4 + (443*t[88])/8 + 68*t[89] - 10*t[95] - 10*t[96] - 
       t[97]/2 - 180*t[98] + 272*t[99] - 90*t[100] - 6*t[101]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*((23*t[1])/2 + 5*t[2] - 
       (27*t[3])/2 + 4*t[4] - (7*t[5])/4 + (45*t[6])/2 - 3*t[7] + 23*t[8] + 
       (113*t[9])/4 + (7*t[10])/2 + (15*t[11])/2 - (93*t[12])/4 + 
       (259*t[13])/12 + (191*t[14])/6 + (413*t[15])/72 + 4*t[19] - 4*t[20] - 
       4*t[21] + 2*t[22] + 2*t[23] - 2*t[27] - 6*t[29] - 6*t[30] + t[32] - 
       t[33] + 7*t[34] - 4*t[37] + (5*t[38])/2 + 9*t[39] - 17*t[40] - 
       t[41]/2 + (3*t[42])/2 - t[44] - (3*t[45])/2 + (3*t[47])/2 - 
       (25*t[48])/2 - (11*t[49])/2 - (15*t[50])/2 + (9*t[51])/4 + 
       (23*t[52])/2 + (11*t[53])/2 + 9*t[54] - 2*t[59] + 67*t[60] + 
       18*t[61] - 22*t[62] - 14*t[63] - 28*t[64] - (34*t[65])/3 - 62*t[66] + 
       4*t[72] + 5*t[76] + 5*t[77] - 3*t[78] + 4*t[80] + 10*t[81] - 3*t[82] + 
       14*t[84] + 4*t[85] - 12*t[86] - 38*t[87] - 19*t[88] - (23*t[89])/2 - 
       4*t[96] + 12*t[98] - 12*t[99] - 66*t[100] - 6*t[101]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*(-11*t[1] - (5*t[2])/4 - 
       (47*t[3])/4 + (21*t[4])/4 - (65*t[5])/2 - (53*t[6])/8 + 50*t[7] - 
       13*t[8] + (103*t[9])/2 + (101*t[10])/8 + (45*t[11])/8 + 
       (269*t[12])/8 - (331*t[13])/18 + (1033*t[14])/48 - (49*t[15])/72 - 
       3*t[23] - 2*t[29] - 2*t[30] + t[32] - t[33] - (19*t[34])/2 - 
       (15*t[38])/2 + 6*t[39] + t[40]/2 - 2*t[41] + 2*t[42] - 2*t[43] + 
       11*t[44] + (11*t[45])/2 - (15*t[47])/2 - (3*t[48])/8 - (5*t[49])/8 + 
       (77*t[50])/8 + (25*t[51])/16 - (73*t[52])/8 + (53*t[53])/8 - 
       (15*t[54])/8 - (11*t[59])/4 + (15*t[60])/2 + (133*t[61])/2 - 
       (199*t[62])/8 + (127*t[63])/8 - (281*t[64])/4 - (191*t[65])/12 - 
       (4*t[66])/3 + 6*t[72] + 4*t[76] - 12*t[78] - 8*t[80] + 4*t[81] + 
       2*t[83] + (21*t[84])/4 - (13*t[85])/4 - 20*t[86] - (43*t[87])/4 - 
       (43*t[88])/8 - (13*t[89])/2 + 4*t[96] + (3*t[97])/2 + 12*t[98] - 
       12*t[99] - 66*t[100] - 6*t[101]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((29*t[1])/4 + (27*t[3])/16 - (311*t[4])/8 - (93*t[5])/8 + 
       (19*t[6])/4 + (121*t[7])/4 - (63*t[8])/2 + 30*t[9] + (675*t[10])/16 - 
       28*t[11] - (143*t[12])/16 - (289*t[13])/18 + (2497*t[14])/96 + 
       (555*t[15])/32 + 2*t[16] + (3*t[17])/4 - 2*t[18] - 2*t[19] - 4*t[20] - 
       4*t[21] + 4*t[23] - t[24] - 4*t[25] + t[26] + t[27] - t[29]/4 + 
       t[30]/2 - 4*t[31] - (23*t[32])/4 - t[33] - (7*t[34])/2 + 5*t[36] - 
       (9*t[37])/2 + (5*t[38])/2 + 9*t[39] - 3*t[40] - 2*t[41] + t[42] + 
       (41*t[43])/8 + (61*t[44])/8 - (9*t[45])/4 + 8*t[46] - (9*t[47])/2 + 
       t[48] - (277*t[49])/16 + (11*t[50])/2 + (107*t[51])/32 + t[52] + 
       (429*t[53])/16 + 18*t[54] - t[58] + (7*t[59])/4 - (187*t[60])/4 + 
       (39*t[61])/4 - (25*t[62])/16 - (19*t[63])/16 - (415*t[64])/8 + 
       (169*t[65])/24 + (425*t[66])/8 - 2*t[67] - (11*t[68])/2 + t[70] - 
       t[71] + 12*t[72] - (7*t[74])/2 + 2*t[76] + (11*t[77])/2 - 12*t[78] + 
       11*t[80] - (3*t[81])/2 + 14*t[82] - 4*t[83] - (5*t[84])/8 - 
       (69*t[85])/8 - 38*t[86] + (71*t[87])/8 - (161*t[88])/16 + 
       (23*t[89])/16 - 2*t[92] + 2*t[94] + 3*t[95] + 7*t[96] + (3*t[97])/2 + 
       48*t[98] - 54*t[99] - 51*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-31*t[1])/4 - t[2]/2 - (125*t[3])/16 + (315*t[4])/8 - (79*t[5])/4 - 
       (3*t[6])/4 + 18*t[7] - (45*t[8])/4 + (351*t[9])/8 - (535*t[10])/16 + 
       (217*t[11])/4 + (541*t[12])/16 + (235*t[13])/8 + (2747*t[14])/96 - 
       (563*t[15])/32 - 2*t[16] - (3*t[17])/4 + 2*t[18] + 6*t[19] + 2*t[22] - 
       2*t[23] + 2*t[24] + 4*t[25] - t[26] - 4*t[27] - (29*t[29])/4 - 
       (11*t[30])/2 + 4*t[31] + t[32]/4 - t[33] + (17*t[34])/2 - 5*t[36] + 
       (3*t[37])/2 - (9*t[38])/2 + 7*t[39] - 9*t[40] + 2*t[41] - 
       (53*t[43])/8 + (13*t[44])/8 + t[45]/4 - (17*t[46])/2 + (11*t[47])/2 - 
       (87*t[48])/4 + (265*t[49])/16 - (21*t[50])/4 - (83*t[51])/32 + 
       (23*t[52])/4 - (321*t[53])/16 - (33*t[54])/2 - t[55]/2 + t[58] - 
       (9*t[59])/4 + (173*t[60])/2 + (119*t[61])/2 - (523*t[62])/16 + 
       (391*t[63])/16 - 16*t[64] - (1151*t[65])/24 - (1103*t[66])/8 + 
       2*t[67] + (11*t[68])/2 - 3*t[70] + 3*t[71] - 2*t[72] + (5*t[74])/2 + 
       17*t[76] - (9*t[77])/2 - 15*t[78] - 9*t[80] + 16*t[81] - 
       (37*t[82])/2 + 6*t[83] + (55*t[84])/8 + (53*t[85])/8 + 8*t[86] - 
       (443*t[87])/8 - (355*t[88])/16 - (411*t[89])/16 + 2*t[92] - 2*t[94] - 
       t[95] - t[96] + (5*t[97])/2 + 48*t[98] - 54*t[99] - 51*t[100] - 
       6*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-5*t[1])/4 - 3*t[2] - (101*t[3])/2 - 
       (107*t[4])/4 + (9*t[5])/4 + (683*t[6])/8 - (179*t[7])/4 + 
       (727*t[8])/4 + (59*t[9])/4 + (85*t[10])/8 - (895*t[11])/8 - 
       (135*t[12])/8 - (3361*t[13])/72 + (1415*t[14])/48 + (347*t[15])/36 - 
       t[17]/2 + 4*t[25] - 2*t[26] - 4*t[27] - 12*t[28] + 3*t[29] - 8*t[30] + 
       (33*t[32])/2 - 2*t[33] + (3*t[34])/2 + 6*t[35] - 2*t[36] - 2*t[37] - 
       (7*t[38])/2 - t[39] - 3*t[40] - (3*t[41])/4 + (3*t[42])/4 - 
       (19*t[44])/2 + (23*t[45])/2 + 2*t[46] - (31*t[47])/2 + (369*t[48])/8 + 
       (53*t[49])/8 - (307*t[50])/8 - (89*t[51])/16 + (319*t[52])/8 - 
       (125*t[53])/8 + (721*t[54])/8 + t[55] + (19*t[59])/4 + (121*t[60])/2 + 
       (47*t[61])/4 + (599*t[62])/8 - (259*t[63])/8 - (457*t[64])/8 + 
       (79*t[65])/3 + (1319*t[66])/12 + t[68] + 4*t[70] - 4*t[71] - 6*t[72] - 
       18*t[73] + 4*t[74] + 46*t[75] - 4*t[77] - 7*t[78] + 10*t[80] - 
       (27*t[81])/2 + (27*t[82])/2 - 34*t[83] + 33*t[84] - (13*t[85])/4 - 
       76*t[86] - (57*t[87])/4 + (95*t[88])/8 + (343*t[89])/8 - 8*t[95] - 
       6*t[96] + t[97]/2 - 60*t[98] + 20*t[99] + 66*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-5*t[1])/4 + (77*t[2])/2 - (275*t[3])/4 - (63*t[4])/4 - 
       (175*t[5])/4 + (171*t[6])/8 + 59*t[8] + 85*t[9] + (269*t[10])/8 - 
       (393*t[11])/8 - t[12]/8 - (1133*t[13])/36 + (3913*t[14])/48 - 
       (43*t[15])/36 + t[17]/2 - 4*t[19] + 20*t[20] + 4*t[21] - 4*t[23] + 
       2*t[25] - 2*t[26] - 2*t[27] + 26*t[28] + t[29] - 15*t[30] + 
       (41*t[32])/2 - 6*t[33] + (17*t[34])/2 - 12*t[35] + 2*t[36] + 6*t[37] - 
       t[38]/2 + 9*t[39] - (13*t[40])/2 + (5*t[41])/4 - (5*t[42])/4 + 
       (19*t[43])/4 - (27*t[44])/2 + (11*t[45])/2 - 2*t[46] - (33*t[47])/2 + 
       (267*t[48])/8 + (19*t[49])/8 - (49*t[50])/8 + (9*t[51])/16 + 
       (77*t[52])/8 - (51*t[53])/8 + (407*t[54])/8 - 4*t[57] - (3*t[59])/4 + 
       (235*t[60])/2 + (215*t[61])/4 - (241*t[62])/8 - (587*t[63])/8 - 
       (985*t[64])/8 + (211*t[65])/6 - (1073*t[66])/12 - 4*t[69] + 4*t[70] - 
       4*t[71] + 16*t[72] - 16*t[73] + 6*t[74] + 30*t[75] - 5*t[76] + 
       4*t[77] + 24*t[78] - 12*t[79] - 6*t[80] + (15*t[81])/2 - 
       (17*t[82])/2 + 10*t[83] + (85*t[84])/2 + (25*t[85])/4 - 37*t[86] + 
       (25*t[87])/4 + (185*t[88])/8 + (395*t[89])/8 + t[90] + 2*t[93] - 
       8*t[95] - 10*t[96] + (3*t[97])/2 - 60*t[98] + 20*t[99] + 66*t[100] - 
       6*t[101]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((13*t[1])/2 + (143*t[2])/8 - (4195*t[3])/48 - 
       (1639*t[4])/24 - (161*t[5])/12 + (5407*t[6])/96 - (125*t[7])/24 + 
       (3409*t[8])/24 + (1513*t[9])/48 - (857*t[10])/48 - (8575*t[11])/96 - 
       (311*t[12])/48 - (8005*t[13])/216 - (31*t[14])/48 + (431*t[15])/144 + 
       t[17]/4 + 2*t[18] - t[20]/3 + 2*t[21] - t[22] - 2*t[23] - t[24] - 
       6*t[25] + (7*t[26])/2 + 6*t[27] + 2*t[28] - (49*t[29])/12 - 
       (53*t[30])/3 + t[31]/3 + (869*t[32])/24 - (7*t[33])/3 - (26*t[34])/3 - 
       4*t[35] + (17*t[36])/6 + (13*t[37])/6 + (25*t[38])/6 - (7*t[39])/3 - 
       (43*t[40])/6 + (11*t[41])/4 - (7*t[42])/4 - (35*t[43])/24 + 
       (71*t[44])/8 + (97*t[45])/12 + (7*t[46])/2 + (16*t[47])/3 + 
       (1071*t[48])/32 - (793*t[49])/48 + (761*t[50])/96 + (1067*t[51])/96 + 
       (13*t[52])/32 + (793*t[53])/48 + (6287*t[54])/96 + t[55]/2 - t[58]/2 + 
       (5*t[59])/4 + (2213*t[60])/48 - (5251*t[61])/48 + (169*t[62])/32 - 
       (6953*t[63])/32 - (761*t[64])/32 + (22193*t[65])/144 + 
       (3001*t[66])/48 - t[67] - (5*t[68])/2 + (5*t[70])/3 - (5*t[71])/3 - 
       3*t[72] + (43*t[73])/6 + t[74]/2 - (43*t[75])/6 + (2*t[76])/3 + 
       (20*t[77])/3 - 2*t[78] + (14*t[79])/3 - (7*t[80])/3 - (25*t[81])/12 + 
       (13*t[82])/4 - (25*t[83])/3 + (1933*t[84])/48 + (789*t[85])/16 + 
       31*t[86] + (2063*t[87])/48 + (4895*t[88])/96 + (9001*t[89])/96 - 
       t[92] + t[94] - (41*t[95])/3 - (53*t[96])/3 - (19*t[97])/6 - 
       10*t[98] - 60*t[99] + 199*t[100] - 6*t[101]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((17*t[1])/2 + (193*t[2])/24 - (343*t[3])/6 - (331*t[4])/6 - 
       (299*t[5])/48 + (311*t[6])/16 - (37*t[7])/3 + (1145*t[8])/8 + 
       (209*t[9])/16 - (97*t[10])/6 - (3023*t[11])/48 + (13*t[12])/48 - 
       (6731*t[13])/432 - (1621*t[14])/48 - (9965*t[15])/864 + (9*t[17])/4 + 
       7*t[18] - t[19] + (5*t[20])/3 + 5*t[21] - t[22] - 5*t[23] + t[24] - 
       6*t[25] + (9*t[26])/2 + (19*t[27])/3 + t[28]/3 - (31*t[29])/12 - 
       10*t[30] - t[31]/3 + (179*t[32])/8 + (14*t[33])/3 - (5*t[34])/3 - 
       (2*t[35])/3 - (19*t[36])/6 + 4*t[38] - 8*t[39] - (37*t[40])/24 + 
       (11*t[41])/3 - (7*t[42])/6 - (103*t[43])/24 - t[44]/24 + 
       (47*t[45])/12 + (17*t[46])/4 + 8*t[47] + (437*t[48])/16 - 
       (17*t[49])/24 - (39*t[50])/16 + (31*t[51])/16 - (43*t[52])/48 + 
       (37*t[53])/24 + (1405*t[54])/48 + t[58]/2 - (35*t[59])/6 + 
       (91*t[60])/3 - (587*t[61])/4 + (1019*t[62])/48 - (8843*t[63])/48 + 
       (3095*t[64])/48 + (9467*t[65])/72 + (913*t[66])/72 - 2*t[68] - 
       3*t[69] - t[70] + t[71] - t[72] + 3*t[73] + (13*t[74])/6 - 3*t[75] + 
       (41*t[76])/3 + t[77] - (197*t[78])/6 + 8*t[79] + (91*t[80])/3 - 
       (35*t[81])/6 + (2*t[82])/3 - 5*t[83] + (271*t[84])/24 + 
       (1091*t[85])/24 + 53*t[86] + 24*t[87] + (253*t[88])/6 + 
       (1573*t[89])/16 + t[90]/2 + t[92] - t[94] - (32*t[95])/3 - 13*t[96] + 
       t[97]/3 + 50*t[98] - 130*t[99] + 259*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((85*t[1])/6 + (85*t[2])/6 - (2225*t[3])/24 + 97*t[4] - 
       (5099*t[5])/48 + (1241*t[6])/48 + (721*t[7])/12 + (269*t[8])/4 + 
       (5831*t[9])/48 + (419*t[10])/8 + (1979*t[11])/16 - (185*t[12])/16 + 
       (2854*t[13])/27 + (1205*t[14])/9 - (2683*t[15])/864 + (2*t[16])/3 + 
       t[17]/3 + (2*t[18])/3 - t[20] + (2*t[21])/3 - (22*t[22])/3 - 
       (2*t[23])/3 - (20*t[24])/3 + 9*t[25] + (28*t[26])/3 + (22*t[27])/3 + 
       6*t[28] - (2*t[29])/3 + (19*t[30])/3 - t[31] + (41*t[32])/3 + 
       (4*t[33])/3 - (40*t[34])/3 - 2*t[35] - (44*t[36])/3 - (32*t[37])/3 + 
       t[38] + (29*t[39])/3 + t[40]/6 + (19*t[41])/6 - (17*t[42])/6 + 
       (167*t[43])/24 + (70*t[44])/3 + (71*t[45])/3 + 7*t[46] - 
       (58*t[47])/3 - (49*t[48])/48 - (563*t[49])/24 + (307*t[50])/48 + 
       (7*t[51])/12 - (595*t[52])/48 + (619*t[53])/24 + (195*t[54])/16 + 
       (2*t[55])/3 - t[56]/3 - (4*t[57])/3 + (7*t[58])/3 - (5*t[59])/6 + 
       (2287*t[60])/8 + (2231*t[61])/8 - (1613*t[62])/16 - (11405*t[63])/48 - 
       (2185*t[64])/16 - (10367*t[65])/72 - (30269*t[66])/72 - 8*t[68] + 
       (8*t[70])/3 - (8*t[71])/3 + 24*t[72] + 12*t[73] + (10*t[74])/3 - 
       8*t[75] - t[76]/3 + 9*t[77] - (34*t[78])/3 + 17*t[80] + (49*t[81])/6 - 
       (69*t[82])/2 - 14*t[83] + (2107*t[84])/24 + (565*t[85])/24 - 
       (505*t[86])/6 - (407*t[87])/8 + (41*t[88])/16 + (4393*t[89])/48 - 
       t[91]/6 + t[92]/3 + 2*t[93] - 16*t[95] - 2*t[96] - t[97]/3 - 
       176*t[98] + 160*t[99] - 100*t[100] - 4*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((25*t[1])/6 - (50*t[2])/3 + (3269*t[3])/24 - (1541*t[4])/24 + 
       (443*t[5])/12 - (1061*t[6])/24 - (347*t[7])/24 - (4183*t[8])/24 - 
       (1321*t[9])/24 + (525*t[10])/16 - (553*t[11])/6 + (1925*t[12])/48 - 
       (7649*t[13])/432 - (3823*t[14])/96 - (3359*t[15])/432 + t[16]/3 - 
       (11*t[17])/6 + (10*t[19])/3 - 18*t[20] + 4*t[21] + 22*t[22] - 
       4*t[23] + 4*t[24] - (2*t[25])/3 + 13*t[26] + 12*t[27] + (13*t[29])/6 + 
       7*t[30] + 14*t[31] - (121*t[32])/3 + (35*t[33])/3 + (44*t[34])/3 + 
       4*t[35] - (17*t[36])/3 + (2*t[37])/3 - t[38]/3 + (35*t[39])/3 - 
       (29*t[40])/2 + (25*t[41])/6 - (25*t[42])/6 - (53*t[43])/24 + 
       (19*t[44])/12 - (815*t[45])/12 + t[46]/6 + (329*t[47])/6 - 
       (107*t[48])/2 - (99*t[49])/16 + (43*t[50])/6 - (707*t[51])/96 + 
       (53*t[52])/2 + (545*t[53])/48 - (839*t[54])/24 + t[55]/3 + 2*t[56] + 
       2*t[57] + (4*t[58])/3 + (11*t[59])/6 - (7255*t[60])/24 - 
       (7819*t[61])/24 + (7775*t[62])/48 + (1739*t[63])/16 + 
       (3241*t[64])/48 - (1543*t[65])/72 + (1347*t[66])/8 - t[67] - 7*t[69] - 
       (20*t[70])/3 + (20*t[71])/3 + 17*t[72] - 10*t[73] - 2*t[74] - 
       2*t[75] + (100*t[76])/3 - (10*t[77])/3 - 98*t[78] + 4*t[79] + 
       34*t[80] - (91*t[81])/3 + (109*t[82])/3 + (77*t[83])/2 - 
       (645*t[84])/8 + (79*t[85])/8 - (61*t[86])/3 - (195*t[87])/8 - 
       (2009*t[88])/48 - (2653*t[89])/48 + t[94] + (52*t[95])/3 + 
       (50*t[96])/3 + (4*t[97])/3 + 184*t[98] - 260*t[99] + 260*t[100] - 
       4*t[101]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-3*t[1])/4 - (69*t[2])/8 + (367*t[3])/8 - 6*t[4] + (4453*t[5])/96 - 
       (253*t[6])/12 - (1721*t[7])/48 - (853*t[8])/12 - (1051*t[9])/32 + 
       (149*t[10])/24 + (287*t[11])/16 + (947*t[12])/96 + (1507*t[13])/48 - 
       (3091*t[14])/288 - (8161*t[15])/1728 + t[18] + 4*t[20] - t[22] + 
       2*t[24] - (5*t[25])/4 - (7*t[27])/4 + (35*t[28])/3 - (15*t[29])/2 - 
       3*t[30] + 4*t[31] - (33*t[32])/2 + 4*t[33] + 7*t[34] - 4*t[35] + 
       5*t[36] - t[37]/2 + 9*t[39] - (23*t[40])/4 - t[41] + t[42] + 
       (43*t[43])/8 - (47*t[44])/24 - (9*t[45])/8 + (5*t[46])/4 - 
       (27*t[47])/2 - (359*t[48])/24 - 4*t[49] - (541*t[50])/24 + 
       (51*t[51])/16 + (481*t[52])/24 + 5*t[53] - (217*t[54])/12 - 
       (5*t[58])/4 + t[59]/2 + (343*t[60])/12 - 20*t[61] + (647*t[62])/24 + 
       (19*t[63])/3 + (16*t[64])/3 - (4109*t[65])/72 - (6467*t[66])/72 + 
       t[68] - 3*t[70] + 3*t[71] + 7*t[72] - 7*t[73] - t[74]/2 + 17*t[75] + 
       (47*t[76])/2 - (59*t[78])/2 - 3*t[79] + (31*t[80])/2 + (65*t[81])/4 + 
       (3*t[82])/2 + (4*t[83])/3 - (49*t[84])/4 + (27*t[85])/8 - 
       (349*t[86])/12 - (1391*t[87])/24 - (2039*t[88])/48 - (241*t[89])/8 - 
       t[92]/4 + t[93] + 5*t[95] + 6*t[96] + 2*t[97] + 120*t[98] - 90*t[99] - 
       113*t[100] + 3*t[101]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - w]*(-4*t[1] - (109*t[2])/12 + (247*t[3])/48 + 
       (1723*t[4])/48 - (79*t[5])/8 - (1283*t[6])/48 + (195*t[7])/4 - 
       (237*t[8])/2 + (467*t[9])/12 - (1069*t[10])/96 + (2699*t[11])/48 - 
       (533*t[12])/96 + (5927*t[13])/144 + (29611*t[14])/576 + 
       (1981*t[15])/216 + t[16] + t[20]/3 - 2*t[22] + t[23] + t[24] + 
       3*t[25] - (3*t[26])/2 - (3*t[27])/2 + (5*t[28])/3 + (23*t[29])/12 + 
       (3*t[30])/2 + 5*t[31] - (19*t[32])/3 - (23*t[33])/6 + (10*t[34])/3 + 
       2*t[35] - 3*t[36] + (3*t[37])/4 - (9*t[38])/4 + (7*t[39])/2 + 
       (21*t[40])/4 + t[41]/4 - t[42]/4 + 2*t[43] + (99*t[44])/8 - 5*t[45] - 
       4*t[46] + (5*t[47])/4 - (1271*t[48])/48 + (1553*t[49])/96 + 
       (101*t[50])/48 - (443*t[51])/192 - (485*t[52])/48 - (1109*t[53])/96 - 
       (301*t[54])/12 - t[58] - (17*t[59])/24 + (869*t[60])/16 + 
       (4745*t[61])/48 - (153*t[62])/32 + (9809*t[63])/96 - 
       (13505*t[64])/96 - (1645*t[65])/48 - (4753*t[66])/48 - (3*t[68])/4 + 
       t[69] - 3*t[70] + 3*t[71] + 6*t[72] - 5*t[73] - (5*t[74])/2 + 
       19*t[75] + (77*t[76])/4 + 4*t[77] - (75*t[78])/4 - 14*t[79] + 
       2*t[80] + 20*t[81] - (27*t[82])/4 - (103*t[83])/6 + (121*t[84])/48 + 
       (503*t[85])/48 - (419*t[86])/6 - (1275*t[87])/16 - (1651*t[88])/32 - 
       (473*t[89])/32 + t[93] + 3*t[95] + 9*t[96] + (11*t[97])/4 + 
       120*t[98] - 90*t[99] - 113*t[100] + 3*t[101]) + 
     D31[v, w, u]*((3*t[1])/4 - t[2]/4 - (11*t[3])/4 + (3*t[4])/4 - 
       (33*t[5])/8 + (3*t[6])/4 + (13*t[7])/4 + (7*t[8])/4 + (49*t[9])/8 + 
       (19*t[10])/8 + 5*t[11] + (5*t[12])/2 + (83*t[13])/72 + 
       (277*t[14])/48 - (53*t[15])/48 + t[33] - t[34]/2 + t[38]/2 - t[39] + 
       t[41]/4 - t[42]/4 - t[45]/2 + t[47]/2 - t[48]/4 + (3*t[49])/8 + 
       (3*t[50])/4 + t[51]/16 + (3*t[52])/4 - (3*t[53])/8 - t[54]/2 - 
       t[59]/4 + 9*t[60] + (15*t[61])/2 - (57*t[62])/8 - (47*t[63])/8 - 
       (15*t[64])/4 - (41*t[65])/12 - (83*t[66])/6 - 4*t[80] + t[81] - 
       t[82] - (3*t[84])/4 - (3*t[85])/4 - (13*t[87])/4 - (13*t[88])/8 - 
       t[89]/2 + t[97]/2 + 6*t[101]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((9*t[1])/8 + (691*t[2])/48 - (297*t[3])/4 - 
       (51*t[4])/2 - (3163*t[5])/96 + (1871*t[6])/32 - (595*t[7])/24 + 
       (591*t[8])/4 + (589*t[9])/32 + (233*t[10])/24 - (5195*t[11])/96 + 
       (203*t[12])/32 - (11903*t[13])/432 + (1639*t[14])/36 + 
       (19067*t[15])/1728 - (3*t[17])/8 + t[19] + (29*t[20])/3 - t[21] - 
       t[22]/2 + (3*t[23])/2 + t[24]/6 - t[25]/2 + t[26]/2 + (5*t[27])/3 + 
       (3*t[28])/2 - (167*t[29])/24 - (33*t[30])/4 + (13*t[31])/6 + 
       (295*t[32])/12 + t[33]/12 + (35*t[34])/12 + (13*t[35])/3 - 4*t[36] - 
       (11*t[37])/6 - (5*t[38])/12 - (29*t[39])/6 - (83*t[40])/12 + 
       (5*t[41])/24 - (11*t[42])/24 - t[43]/6 - 6*t[44] + 7*t[45] + 
       (7*t[46])/4 - (55*t[47])/4 + (1687*t[48])/96 - (89*t[49])/12 + 
       (119*t[50])/96 + (45*t[51])/16 + (1201*t[52])/96 - (23*t[53])/12 + 
       (4813*t[54])/96 - 2*t[57] - (23*t[59])/24 + (302*t[60])/3 + 
       (1601*t[61])/48 - (29*t[62])/48 - (3329*t[63])/48 - (4829*t[64])/96 + 
       (1841*t[65])/48 + (1303*t[66])/48 + (3*t[68])/4 + t[69] + 
       (20*t[70])/3 - (20*t[71])/3 + (61*t[72])/6 - (17*t[73])/6 + t[74] + 
       (19*t[75])/2 - (97*t[76])/6 + (19*t[77])/6 + (311*t[78])/12 + 
       (11*t[79])/6 - (17*t[80])/2 - (137*t[81])/24 - (7*t[82])/24 - 
       (3*t[83])/2 + (539*t[84])/16 + (305*t[85])/24 - (38*t[86])/3 + 
       (5*t[87])/4 + (773*t[88])/24 + (1519*t[89])/96 + t[93] - 12*t[95] - 
       (44*t[96])/3 + t[97]/4 - 122*t[98] + 136*t[99] - (79*t[100])/2 + 
       6*t[101]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((33*t[1])/8 - (727*t[2])/72 - (3967*t[3])/48 - (103*t[4])/24 - 
       (1661*t[5])/32 + (3773*t[6])/96 + (415*t[7])/16 + (5183*t[8])/48 + 
       (3805*t[9])/96 + (185*t[10])/12 - (1283*t[11])/96 + (493*t[12])/96 - 
       (8761*t[13])/432 + (9155*t[14])/288 + (785*t[15])/576 - t[17]/8 + 
       t[19]/2 + (7*t[20])/3 + t[21]/2 - t[22]/2 + t[23]/6 - (7*t[24])/2 - 
       t[25] + t[26]/2 + (8*t[27])/3 - (7*t[28])/3 + (17*t[29])/4 + 
       (3*t[30])/4 + (7*t[31])/3 + (329*t[32])/12 - (31*t[33])/12 - 
       (131*t[34])/12 + (29*t[35])/6 + 4*t[36] + (13*t[37])/6 + 
       (10*t[38])/3 - (37*t[39])/12 - (91*t[40])/24 + (77*t[41])/24 - 
       (77*t[42])/24 - t[43]/6 + (37*t[44])/24 + (211*t[45])/12 + t[46]/2 - 
       (61*t[47])/4 + (3055*t[48])/96 - (601*t[49])/48 + (667*t[50])/96 + 
       (647*t[51])/96 - (275*t[52])/96 + (171*t[53])/16 + (4349*t[54])/96 + 
       t[55]/4 + (343*t[59])/72 + (511*t[60])/8 + (1611*t[61])/16 - 
       (4477*t[62])/48 - (4549*t[63])/48 + (1277*t[64])/96 + 
       (5315*t[65])/144 - (1667*t[66])/144 + t[68]/4 + 2*t[69] + 
       (20*t[70])/3 - (20*t[71])/3 + (11*t[72])/3 - 2*t[73] + (41*t[74])/12 + 
       (19*t[75])/3 - (89*t[76])/6 + (28*t[77])/3 + (71*t[78])/3 + 
       (65*t[79])/12 - (76*t[80])/3 - (27*t[81])/8 - (77*t[82])/24 + 
       (43*t[83])/6 + (1169*t[84])/48 + (5*t[85])/12 + (437*t[86])/12 + 
       (205*t[87])/12 + (323*t[88])/8 + (3349*t[89])/96 - 12*t[95] - 
       (49*t[96])/6 + (7*t[97])/2 - 122*t[98] + 136*t[99] - (79*t[100])/2 + 
       6*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((25*t[1])/2 + (145*t[2])/6 - (1355*t[3])/12 + 
       (447*t[4])/8 - (1751*t[5])/16 + (23*t[6])/2 + (293*t[7])/6 + 
       (359*t[8])/3 + (2201*t[9])/16 + (1159*t[10])/48 + (2065*t[11])/24 - 
       (281*t[12])/6 + (9973*t[13])/216 + (28679*t[14])/288 + 
       (9109*t[15])/864 + t[17]/2 - (20*t[20])/3 + 4*t[21] + 12*t[22] - 
       4*t[23] + (34*t[24])/3 + (13*t[27])/3 + 12*t[28] - (49*t[29])/6 - 
       8*t[30] - 14*t[31] + (38*t[32])/3 + (23*t[33])/3 - (41*t[34])/3 - 
       8*t[35] - 4*t[36] - (29*t[37])/3 + (8*t[38])/3 + (28*t[39])/3 + 
       (13*t[40])/6 + (25*t[41])/6 - (25*t[42])/6 - (143*t[43])/24 + 
       (15*t[44])/4 + 41*t[45] + (7*t[46])/2 - (83*t[47])/2 + (89*t[48])/4 - 
       (955*t[49])/48 + (193*t[50])/12 + (201*t[51])/32 - (277*t[52])/12 + 
       (1163*t[53])/48 + (365*t[54])/24 + t[56] - 2*t[57] + (10*t[59])/3 + 
       (4129*t[60])/24 + (7631*t[61])/24 - (6679*t[62])/48 - 
       (2213*t[63])/48 - (1603*t[64])/16 - (1271*t[65])/24 - 
       (18503*t[66])/72 - t[68] - 4*t[69] + (16*t[70])/3 - (16*t[71])/3 + 
       16*t[72] + 16*t[73] + 32*t[74] - 24*t[75] - (7*t[76])/3 + 
       (13*t[77])/3 - (32*t[78])/3 + 12*t[79] - 5*t[80] + (31*t[81])/3 - 
       (131*t[82])/6 - (2*t[83])/3 + (507*t[84])/8 - (311*t[85])/24 - 
       (23*t[86])/2 - (425*t[87])/24 + (253*t[88])/16 + (169*t[89])/16 - 
       t[91]/6 - 12*t[95] - (22*t[96])/3 + 4*t[97] - 184*t[98] + 228*t[99] - 
       310*t[100] + 12*t[101]) + D32[v, w, u]*(t[1] - (3*t[2])/2 - t[3]/2 + 
       (11*t[4])/2 - t[5]/2 - (7*t[6])/2 - 3*t[7] + t[8] - 3*t[9] + 
       (23*t[10])/4 + (13*t[11])/2 - (3*t[12])/4 + (25*t[13])/18 - 
       (19*t[14])/24 - (3*t[15])/4 + 2*t[33] + t[38] - 2*t[39] + t[40] + 
       t[45] - t[47] - t[48]/2 + t[49]/4 - (3*t[50])/2 + (3*t[51])/8 + 
       t[52]/2 - (9*t[53])/4 - 5*t[54] - t[59]/2 + 5*t[60] + (7*t[61])/2 - 
       (11*t[62])/2 - (9*t[63])/2 + 3*t[64] - (17*t[65])/3 - (29*t[66])/3 - 
       4*t[76] + 4*t[78] - 8*t[80] - 5*t[84] - 3*t[85] + t[87] + t[88]/2 - 
       2*t[89] - 24*t[98] + 24*t[99] + 12*t[100] + 12*t[101]) + 
     D34[v, w, u]*((3*t[1])/2 - t[2]/2 - (19*t[3])/4 + (3*t[4])/2 - 
       (13*t[5])/4 + t[6]/2 + t[7] + 10*t[8] + (15*t[9])/4 + (33*t[10])/4 + 
       7*t[11] + 2*t[12] - (4*t[13])/9 + (145*t[14])/24 - (7*t[15])/12 + 
       2*t[33] - t[34] + t[38] - 2*t[39] + t[41]/2 - t[42]/2 + t[45] - 
       t[47] + 2*t[48] + (3*t[49])/4 + t[50] + t[51]/8 + 2*t[52] - 
       (7*t[53])/4 - 2*t[54] - t[59]/2 + 9*t[60] + 12*t[61] - (51*t[62])/4 - 
       (41*t[63])/4 + 3*t[64] - t[65] - (31*t[66])/2 - 4*t[76] + 4*t[78] - 
       8*t[80] - 4*t[84] - 5*t[85] + 2*t[87] + t[88] - t[89] + t[97] - 
       24*t[98] + 24*t[99] + 12*t[100] + 12*t[101]) + 
     D33[v, w, u]*((3*t[1])/2 + (11*t[2])/4 - (159*t[3])/8 - (13*t[4])/4 - 
       (65*t[5])/8 + 10*t[6] + (17*t[7])/4 + (117*t[8])/4 + (111*t[9])/8 + 
       (61*t[10])/8 - (5*t[11])/2 + (5*t[12])/4 - (443*t[13])/72 + 
       (713*t[14])/48 + (11*t[15])/9 - (3*t[29])/2 - 3*t[30] + (7*t[32])/2 + 
       3*t[33] - t[34] + t[38] - 2*t[39] + t[41]/2 - t[42]/2 + (3*t[44])/4 + 
       3*t[45] - 3*t[47] + (31*t[48])/4 - (9*t[49])/8 + (7*t[50])/4 + 
       (17*t[51])/16 + (5*t[52])/4 + (9*t[53])/8 + (33*t[54])/4 + 
       (111*t[60])/4 + 22*t[61] - (71*t[62])/4 - (101*t[63])/4 - 
       (59*t[64])/4 + (71*t[65])/12 - (155*t[66])/12 + 2*t[70] - 2*t[71] + 
       t[74] - 8*t[76] + 9*t[78] - 10*t[80] - (3*t[81])/2 + t[82]/2 + 
       (23*t[84])/4 - (7*t[85])/2 - 2*t[87] + 8*t[88] + (43*t[89])/8 - 
       2*t[95] - 2*t[96] + t[97] - 48*t[98] + 48*t[99] + 12*t[100] + 
       12*t[101]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*((3*t[1])/2 - (451*t[2])/12 + (1967*t[3])/12 - 
       (781*t[4])/24 + (4153*t[5])/48 - (2305*t[6])/48 + (49*t[7])/12 - 
       (370*t[8])/3 - (6085*t[9])/48 - (1775*t[10])/48 + (1919*t[11])/48 + 
       27*t[12] - (631*t[13])/216 - (13949*t[14])/288 + (15373*t[15])/864 - 
       6*t[17] - 2*t[18] + 4*t[19] - 24*t[20] - 4*t[21] + 12*t[22] + 
       4*t[23] + (17*t[24])/3 - (14*t[27])/3 - 20*t[28] - (31*t[29])/6 - 
       (5*t[30])/3 + 8*t[31] - (134*t[32])/3 + (86*t[33])/3 + 9*t[34] + 
       18*t[35] - 16*t[36] - (50*t[37])/3 - (10*t[38])/3 - (14*t[39])/3 - 
       (19*t[40])/3 + (25*t[41])/6 - (19*t[42])/6 + (133*t[43])/24 + 
       (7*t[44])/12 - (335*t[45])/6 - 3*t[46] + 52*t[47] - (697*t[48])/16 + 
       (381*t[49])/16 - (189*t[50])/16 - (907*t[51])/96 + (1367*t[52])/48 - 
       (695*t[53])/48 - (1121*t[54])/16 + t[55]/2 + t[56] - 2*t[57] + 
       (19*t[59])/3 - (1007*t[60])/6 - (769*t[61])/6 + (83*t[62])/6 + 
       (1735*t[63])/12 + (1021*t[64])/12 - (794*t[65])/9 + (1223*t[66])/9 + 
       12*t[68] + 4*t[69] - (8*t[70])/3 + (8*t[71])/3 - (26*t[72])/3 - 
       4*t[73] - 5*t[74] + (11*t[76])/6 + (11*t[77])/3 - (361*t[78])/6 + 
       4*t[79] + (313*t[80])/3 - 20*t[81] + (73*t[82])/3 + (31*t[83])/3 - 
       (1109*t[84])/12 - (197*t[85])/12 + (145*t[86])/2 - (1051*t[87])/12 - 
       (553*t[88])/8 - (743*t[89])/6 + t[91]/6 - 2*t[93] + 18*t[95] + 
       (56*t[96])/3 + 8*t[97] + 176*t[98] - 192*t[99] + 50*t[100] + 
       12*t[101]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      (-15*t[1] - (411*t[2])/8 + (2723*t[3])/16 + (325*t[4])/4 + 89*t[5] - 
       (871*t[6])/8 + (727*t[7])/8 - 365*t[8] - (217*t[9])/4 + 
       (319*t[10])/8 + (1233*t[11])/8 + (105*t[12])/8 + (1771*t[13])/48 + 
       (251*t[14])/24 + (9377*t[15])/288 - (15*t[17])/4 - 8*t[18] - 3*t[20] - 
       4*t[21] + (19*t[23])/2 + (5*t[24])/2 + 8*t[25] - 4*t[26] - 12*t[27] + 
       (17*t[29])/4 + 15*t[30] + 4*t[31] - (181*t[32])/4 - 9*t[33] - 
       (11*t[34])/4 + 10*t[36] - t[37] - (19*t[38])/2 + (99*t[39])/4 - 
       (3*t[41])/4 - (5*t[42])/4 + (17*t[43])/4 + (121*t[44])/8 - 10*t[45] - 
       3*t[46] + 11*t[47] - (473*t[48])/8 + (5*t[49])/4 + (179*t[50])/8 - 
       (31*t[51])/4 - (163*t[52])/8 + (25*t[53])/4 - 111*t[54] - t[55]/4 + 
       (35*t[59])/2 - (1637*t[60])/8 + (1945*t[61])/8 - (1181*t[62])/8 + 
       (2663*t[63])/8 - (379*t[64])/16 - (1543*t[65])/8 + (333*t[66])/8 - 
       t[67]/4 + 3*t[68] + 4*t[69] - 8*t[70] + 8*t[71] - 6*t[72] - 12*t[73] - 
       11*t[74] + 12*t[75] - (11*t[76])/2 + (19*t[77])/2 + (37*t[78])/2 - 
       24*t[79] - 16*t[80] - (41*t[81])/4 + (19*t[82])/4 + 17*t[83] - 
       (637*t[84])/8 - (459*t[85])/4 - 42*t[86] - 30*t[87] - (319*t[88])/4 - 
       (1273*t[89])/8 - t[90]/2 - 2*t[92] + 2*t[94] + 29*t[95] + 37*t[96] + 
       5*t[97] + 48*t[98] + 36*t[99] - 213*t[100] + 18*t[101]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w]*(-2*t[1] - (111*t[2])/4 + 
       (2887*t[3])/16 + (607*t[4])/8 + (1145*t[5])/16 - (1011*t[6])/8 - 
       66*t[7] - (1927*t[8])/8 - (2251*t[9])/16 + (329*t[10])/16 + 
       (583*t[11])/4 - (65*t[12])/4 + (4679*t[13])/144 - (4525*t[14])/96 + 
       (83*t[15])/72 - t[17]/2 - 4*t[18] - 4*t[21] + 4*t[23] + 4*t[24] + 
       4*t[25] - 4*t[26] - (19*t[27])/2 - 6*t[28] + (35*t[29])/4 + 
       (73*t[30])/2 - (273*t[32])/4 + (17*t[33])/2 + 19*t[34] + 12*t[35] - 
       14*t[36] - 5*t[37] - (5*t[38])/2 + (7*t[39])/2 + (19*t[40])/2 - 
       (29*t[41])/4 + (21*t[42])/4 + (17*t[43])/4 - (163*t[44])/8 - 
       (107*t[45])/4 - (41*t[46])/4 - (37*t[47])/4 - (519*t[48])/8 + 
       (679*t[49])/16 - (71*t[50])/8 - (589*t[51])/32 + (11*t[52])/8 - 
       (695*t[53])/16 - (1287*t[54])/8 - t[55] - (17*t[59])/2 - 
       (505*t[60])/4 + (325*t[61])/4 + (639*t[62])/16 + (7465*t[63])/16 + 
       (519*t[64])/4 - (3611*t[65])/12 - (349*t[66])/4 + 2*t[67] + 5*t[68] - 
       5*t[70] + 5*t[71] + 7*t[72] - 12*t[73] - t[74]/2 + 12*t[75] - 
       (17*t[76])/4 - (27*t[77])/2 + (29*t[78])/4 + 21*t[80] + (23*t[81])/4 - 
       2*t[82] + 16*t[83] - (481*t[84])/4 - (669*t[85])/8 - 54*t[86] - 
       (613*t[87])/8 - (1681*t[88])/16 - (3549*t[89])/16 + 2*t[92] - 
       2*t[94] + 29*t[95] + 19*t[96] + 8*t[97] + 48*t[98] + 36*t[99] - 
       213*t[100] + 18*t[101]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 
       1 - u]*(-38*t[1] - (1193*t[2])/12 + (3737*t[3])/12 + (655*t[4])/4 + 
       (1441*t[5])/8 - (2767*t[6])/16 + (511*t[7])/6 - (7691*t[8])/12 - 
       (559*t[9])/4 + (3613*t[10])/24 + (12481*t[11])/48 + (61*t[12])/12 + 
       (15395*t[13])/216 + (2935*t[14])/72 + (8983*t[15])/108 + 4*t[16] - 
       5*t[17] - 16*t[18] - (4*t[20])/3 - 12*t[21] + 23*t[23] + 
       (17*t[24])/3 + 24*t[25] - 12*t[26] - (73*t[27])/3 + (38*t[29])/3 + 
       33*t[30] + 4*t[31] - (523*t[32])/6 - (44*t[33])/3 - (101*t[34])/6 + 
       22*t[36] - (16*t[37])/3 - (71*t[38])/3 + (128*t[39])/3 + (5*t[40])/6 - 
       (17*t[41])/3 - t[42]/3 + (235*t[43])/12 + 23*t[44] - (9*t[46])/2 - 
       (29*t[47])/2 - (1557*t[48])/16 - (613*t[49])/24 + (1349*t[50])/48 - 
       (109*t[51])/16 - (149*t[52])/48 + (437*t[53])/24 - (8941*t[54])/48 + 
       (101*t[59])/3 - (7393*t[60])/24 + (12445*t[61])/24 - 
       (15203*t[62])/48 + (27251*t[63])/48 - (1445*t[64])/16 - 
       (9583*t[65])/24 + (10235*t[66])/72 - 4*t[67] - (9*t[68])/2 + 4*t[69] - 
       (16*t[70])/3 + (16*t[71])/3 - 12*t[72] - 20*t[73] - 20*t[74] + 
       20*t[75] - (179*t[76])/3 + (68*t[77])/3 + (655*t[78])/6 - 40*t[79] - 
       55*t[80] - (161*t[81])/6 + (65*t[82])/6 + (80*t[83])/3 - 
       (959*t[84])/8 - (5785*t[85])/24 - 126*t[86] - (955*t[87])/24 - 
       (2041*t[88])/16 - (4981*t[89])/16 - (5*t[90])/2 - 6*t[92] + 6*t[94] + 
       48*t[95] + (184*t[96])/3 + 8*t[97] - 200*t[98] + 432*t[99] - 
       474*t[100] + 60*t[101]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 
       1 - w]*(-8*t[1] - (647*t[2])/12 + (7931*t[3])/24 + (626*t[4])/3 + 
       (1475*t[5])/12 - (10319*t[6])/48 - (659*t[7])/6 - (2599*t[8])/6 - 
       (6337*t[9])/24 + (1013*t[10])/12 + (11791*t[11])/48 - 62*t[12] + 
       (2963*t[13])/108 - (12449*t[14])/144 + (1781*t[15])/216 - 4*t[16] - 
       2*t[17] - 12*t[18] - 12*t[21] + 12*t[23] + (7*t[24])/3 + 12*t[25] - 
       12*t[26] - (58*t[27])/3 - 10*t[28] + (127*t[29])/6 + (209*t[30])/3 - 
       8*t[31] - (767*t[32])/6 + (49*t[33])/3 + 32*t[34] + 20*t[35] - 
       34*t[36] - (4*t[37])/3 - (11*t[38])/3 + (8*t[39])/3 + (155*t[40])/6 - 
       (50*t[41])/3 + (32*t[42])/3 + (139*t[43])/12 - (523*t[44])/12 - 
       (157*t[45])/6 - 26*t[46] - 61*t[47] - (1783*t[48])/16 + 
       (359*t[49])/4 - (371*t[50])/16 - (118*t[51])/3 - (167*t[52])/48 - 
       (1261*t[53])/12 - (4925*t[54])/16 - (5*t[55])/2 - (46*t[59])/3 - 
       (4567*t[60])/24 + (5371*t[61])/24 + (4991*t[62])/48 + 
       (46625*t[63])/48 + (7787*t[64])/48 - (47801*t[65])/72 - 
       (6631*t[66])/72 + 6*t[67] + 16*t[68] + (8*t[70])/3 - (8*t[71])/3 + 
       (56*t[72])/3 - 20*t[73] + 10*t[74] + 20*t[75] - (329*t[76])/6 - 
       (80*t[77])/3 + (469*t[78])/6 - (94*t[80])/3 + (21*t[81])/2 - 
       (11*t[82])/6 + (80*t[83])/3 - (5225*t[84])/24 - (4475*t[85])/24 - 
       150*t[86] - (3289*t[87])/24 - (2915*t[88])/16 - (21923*t[89])/48 + 
       6*t[92] - 6*t[94] + 48*t[95] + (91*t[96])/3 + 16*t[97] - 200*t[98] + 
       432*t[99] - 474*t[100] + 60*t[101]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*(-t[1]/6 + (343*t[2])/36 - 
       (121*t[3])/12 - (23*t[4])/3 - (773*t[5])/24 - (701*t[6])/72 + 
       (427*t[7])/24 - (221*t[8])/8 + (35*t[9])/2 + (129*t[10])/8 - 
       (115*t[11])/6 + (89*t[12])/8 - (2111*t[13])/432 + (317*t[14])/12 + 
       (1823*t[15])/216 + t[17]/6 - t[20] + t[21] - (11*t[22])/3 - 
       (14*t[23])/3 - (13*t[24])/3 - t[27] + 4*t[28] + 3*t[29] + 
       (21*t[30])/2 + 2*t[31] - t[32]/2 + (7*t[33])/6 + 7*t[34] + 6*t[35] + 
       2*t[36] - t[37] - (4*t[38])/3 + (14*t[39])/3 - (10*t[40])/3 + 
       (2*t[41])/3 - (8*t[42])/9 - (91*t[43])/24 + (23*t[44])/2 + 
       (35*t[45])/6 + t[46]/2 - 16*t[47] - (29*t[48])/2 - (23*t[49])/6 + 
       (70*t[50])/3 + (17*t[51])/24 - (62*t[52])/3 + (23*t[53])/6 + 
       (16*t[54])/3 - t[56]/6 - (2*t[57])/3 + (7*t[59])/9 + (29*t[60])/3 + 
       (775*t[61])/12 + (397*t[62])/12 + (1111*t[63])/12 - (529*t[64])/8 + 
       (109*t[65])/18 + (365*t[66])/36 - (10*t[68])/3 - t[72] + 9*t[73] - 
       2*t[74] - 4*t[75] + (7*t[77])/2 + (61*t[78])/6 - 10*t[79] - 
       (61*t[80])/3 + (11*t[81])/2 + 9*t[82] + 26*t[83] + (13*t[84])/3 - 
       (19*t[85])/6 - (139*t[86])/2 + t[87]/3 + t[88]/6 - (509*t[89])/12 + 
       (2*t[97])/3 - 48*t[98] + 24*t[99] + (21*t[100])/2 - 6*t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((11*t[1])/6 + (11*t[2])/6 - (833*t[3])/24 - (169*t[4])/24 - 
       (2327*t[5])/48 + (793*t[6])/24 + (973*t[7])/24 + (2201*t[8])/24 + 
       (373*t[9])/16 + (491*t[10])/48 - (183*t[11])/8 + 18*t[12] - 
       (10043*t[13])/432 + (14621*t[14])/288 + (24887*t[15])/864 - 
       (4*t[27])/3 - 8*t[28] + (13*t[29])/12 + (32*t[30])/3 - t[31] - 
       (4*t[34])/3 - 12*t[35] + t[36] + (2*t[38])/3 + t[39] + (14*t[40])/3 + 
       (2*t[41])/3 - (2*t[42])/3 + (5*t[43])/4 + (7*t[44])/4 + (7*t[45])/2 - 
       t[46]/6 - 7*t[47] - (15*t[48])/2 + (23*t[49])/48 + (173*t[50])/12 - 
       (13*t[51])/32 - (63*t[52])/4 + (35*t[53])/16 + (283*t[54])/8 + 
       (5*t[59])/3 - (385*t[60])/24 + (1255*t[61])/8 - (83*t[62])/48 + 
       (4051*t[63])/48 - (319*t[64])/48 + (2177*t[65])/72 + (2585*t[66])/24 - 
       7*t[72] + 7*t[73] - 11*t[75] - (35*t[76])/3 - (2*t[77])/3 + 
       (13*t[78])/3 + 8*t[79] - (10*t[80])/3 + (13*t[81])/6 - (11*t[82])/6 + 
       20*t[83] + (79*t[84])/24 - (13*t[85])/8 - 2*t[86] - (163*t[87])/24 - 
       (155*t[88])/48 + (59*t[89])/16 + (11*t[96])/3 + (8*t[97])/3 - 
       48*t[98] + 24*t[99] + (21*t[100])/2 - 6*t[102]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-2*t[1] - (247*t[2])/12 + (149*t[3])/6 - (26*t[4])/3 + (367*t[5])/8 + 
       (14*t[6])/3 - (1469*t[7])/24 - (695*t[8])/24 - (1757*t[9])/24 + 
       (2201*t[10])/24 - (1345*t[11])/24 - (87*t[12])/8 - (4859*t[13])/144 - 
       (213*t[14])/8 + (889*t[15])/216 - (5*t[16])/6 - t[17]/6 + t[18]/3 + 
       2*t[22] - (13*t[23])/3 + (2*t[24])/3 - t[25] + t[26]/3 + 4*t[27] + 
       (37*t[29])/12 - (10*t[30])/3 + 6*t[31] - (5*t[32])/3 + (5*t[33])/3 - 
       15*t[34] + t[35] + t[36]/3 + 2*t[37] - (2*t[38])/3 + (2*t[39])/3 + 
       t[40]/3 + (25*t[41])/6 + t[42]/2 + (209*t[43])/24 + (17*t[44])/12 + 
       (61*t[45])/6 + (5*t[46])/6 - 22*t[47] + (85*t[48])/24 + 12*t[49] - 
       (583*t[50])/24 - (181*t[51])/24 + (623*t[52])/24 - 12*t[53] - 
       (29*t[54])/24 - (8*t[58])/3 - (5*t[59])/6 - 77*t[60] - (353*t[61])/3 + 
       (185*t[62])/3 + (219*t[63])/2 - (557*t[64])/6 - (1363*t[65])/36 + 
       (607*t[66])/4 - t[67]/2 + (8*t[68])/3 + (4*t[70])/3 - (4*t[71])/3 - 
       4*t[72] + t[73] - 12*t[74] - 3*t[75] + (27*t[76])/2 + (5*t[77])/6 - 
       (49*t[78])/2 + 11*t[79] - (188*t[80])/3 - (46*t[81])/3 - (8*t[82])/3 - 
       25*t[83] - (75*t[84])/4 + (227*t[85])/12 - (575*t[86])/6 + 
       (43*t[87])/4 + (43*t[88])/8 + (113*t[89])/4 + (2*t[92])/3 + 
       (2*t[94])/3 + t[97]/3 + 128*t[98] - 116*t[99] + (203*t[100])/2 + 
       6*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w]*
      (-4*t[1] - (97*t[2])/12 + (895*t[3])/24 - (833*t[4])/24 + 
       (1597*t[5])/48 - (551*t[6])/12 + (139*t[7])/8 - (2137*t[8])/24 - 
       (3*t[9])/16 - (775*t[10])/16 - (22*t[11])/3 - 2*t[12] + 
       (1483*t[13])/144 - (23743*t[14])/288 - (15737*t[15])/864 + 
       (5*t[16])/3 - 2*t[25] + t[26] + 2*t[27] + t[28] - (41*t[29])/12 + 
       t[30]/3 - t[31] + (7*t[34])/3 + 7*t[35] + (4*t[36])/3 - (13*t[37])/3 - 
       (2*t[38])/3 - (5*t[39])/2 + (4*t[40])/3 - (7*t[41])/6 + (7*t[42])/6 - 
       (7*t[43])/4 + (151*t[44])/12 - (19*t[45])/2 - (2*t[46])/3 + 19*t[47] - 
       (195*t[48])/8 - (295*t[49])/16 - (77*t[50])/24 + (637*t[51])/96 - 
       (57*t[52])/8 + (293*t[53])/48 - (46*t[54])/3 - t[58] - (10*t[59])/3 - 
       (793*t[60])/24 - (1079*t[61])/8 - (821*t[62])/48 - (199*t[63])/48 + 
       (2339*t[64])/48 + (3311*t[65])/72 + (5015*t[66])/72 + t[67]/6 + 
       (4*t[68])/3 + (4*t[70])/3 - (4*t[71])/3 + 3*t[72] + 2*t[73] + 
       t[74]/3 - 14*t[75] + (53*t[76])/6 + (23*t[77])/6 - (31*t[78])/2 + 
       2*t[79] + 16*t[80] - (23*t[81])/3 + 5*t[82] - 17*t[83] - 
       (431*t[84])/24 + (63*t[85])/8 + 32*t[86] + (499*t[87])/24 + 
       (779*t[88])/48 + (1313*t[89])/48 - 2*t[95] - (28*t[96])/3 + 
       (5*t[97])/3 + 128*t[98] - 116*t[99] + (203*t[100])/2 + 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((32*t[1])/3 + (75*t[2])/2 - (3223*t[3])/12 - (605*t[4])/6 - 
       (3661*t[5])/24 + (3017*t[6])/24 - (599*t[7])/12 + (3779*t[8])/12 + 
       (1375*t[9])/24 + 25*t[10] - (4825*t[11])/24 - (1011*t[12])/8 - 
       (34645*t[13])/216 + (623*t[14])/18 + (5279*t[15])/144 - (2*t[17])/3 - 
       4*t[18] + (26*t[19])/9 + 8*t[20] - (32*t[21])/3 + (82*t[22])/3 + 
       (34*t[23])/3 - (16*t[24])/3 - (22*t[25])/3 + (2*t[26])/3 + 
       (92*t[27])/3 + 4*t[28] + (89*t[29])/6 - (124*t[30])/3 + 4*t[31] + 
       83*t[32] - (46*t[33])/3 - 29*t[34] + 16*t[35] - 4*t[36] - 
       (26*t[37])/3 + (31*t[38])/3 - (80*t[39])/3 + (67*t[40])/3 - 
       (26*t[41])/3 + (14*t[42])/3 + (39*t[43])/2 - (75*t[44])/2 + 
       (208*t[45])/3 + 20*t[46] - 121*t[47] + (1109*t[48])/24 - 
       (257*t[49])/4 + (805*t[50])/24 + (38*t[51])/3 - (479*t[52])/8 + 
       (185*t[53])/4 + (1325*t[54])/8 + t[55]/3 - (10*t[58])/3 - 9*t[59] + 
       (2731*t[60])/12 - (2105*t[61])/12 + (161*t[62])/24 - (3035*t[63])/8 - 
       (1435*t[64])/8 + (949*t[65])/36 + (7687*t[66])/36 + 3*t[68] - 
       12*t[69] + 28*t[70] - 28*t[71] + 11*t[72] + 14*t[73] + 28*t[74] - 
       4*t[75] - (106*t[76])/3 + (70*t[77])/3 + 34*t[78] + 16*t[79] + 
       (22*t[80])/3 - (85*t[81])/3 - (101*t[82])/3 - 6*t[83] + 
       (2137*t[84])/12 + (345*t[85])/4 + 180*t[86] + (317*t[87])/4 + 
       (2975*t[88])/24 + (3095*t[89])/24 - t[90]/3 - (184*t[95])/3 - 
       (152*t[96])/3 - (38*t[97])/3 - 320*t[98] + 460*t[99] - 368*t[100] - 
       20*t[101] + 12*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      (14*t[2] - 12*t[3] - 19*t[4] + (5*t[5])/2 - 11*t[6] - 3*t[7] - 
       65*t[8] - (15*t[9])/2 + (9*t[10])/2 - 16*t[11] + 20*t[12] - 
       (17*t[13])/18 - (71*t[14])/12 + (53*t[15])/12 - 4*t[24] + 4*t[28] + 
       4*t[33] - 4*t[36] - 4*t[37] + 2*t[43] + 4*t[44] + 2*t[46] - 13*t[48] - 
       (3*t[49])/2 + 13*t[50] + (9*t[51])/4 - 13*t[52] + (3*t[53])/2 - 
       4*t[54] - 39*t[60] - 13*t[61] - (41*t[62])/2 + (17*t[63])/2 - 
       (5*t[64])/2 - 21*t[65] - (35*t[66])/3 - 8*t[74] - 4*t[79] + 16*t[80] + 
       8*t[81] - 12*t[82] + 8*t[83] - 9*t[84] - 9*t[85] + 12*t[86] + 
       27*t[87] + (27*t[88])/2 - (39*t[89])/2)*\[Zeta][2] + 
     M1[w, v, u]*((2*t[4])/3 + (4*t[5])/3 - (2*t[6])/3 - t[9] - t[10]/3 + 
       (2*t[11])/3 - (2*t[12])/3 - (2*t[13])/9 - (13*t[14])/18 - 
       (5*t[15])/18 - (2*t[24])/3 - (2*t[33])/3 + (2*t[48])/3 + t[49]/3 + 
       (2*t[50])/3 - t[51]/6 - (2*t[52])/3 - t[53]/3 - (4*t[54])/3 - 
       (8*t[60])/3 + (4*t[61])/3 + (4*t[62])/3 - (4*t[63])/3 + (2*t[64])/3 - 
       (16*t[65])/9 + (16*t[66])/9 + (2*t[82])/3 - (8*t[85])/3 + 
       (8*t[87])/3 + (4*t[88])/3 - (2*t[89])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*Omega2[w, u, v]*((-2*t[4])/3 + (2*t[5])/3 + (2*t[6])/3 + 
       t[9] + t[10]/3 - (2*t[11])/3 + (2*t[12])/3 + (2*t[13])/9 + 
       (13*t[14])/18 + (65*t[15])/18 + (14*t[24])/3 + (14*t[33])/3 - 
       (2*t[48])/3 - t[49]/3 - (2*t[50])/3 + t[51]/6 + (2*t[52])/3 + 
       t[53]/3 + (4*t[54])/3 + (2*t[60])/3 + (2*t[61])/3 - t[62]/3 + 
       t[63]/3 + t[64]/3 - (8*t[65])/9 - (16*t[66])/9 - (14*t[82])/3 + 
       (2*t[85])/3 - (2*t[87])/3 - t[88]/3 - t[89]/3)*\[Zeta][2] + 
     M1[v, u, w]*((-2*t[4])/3 - (4*t[5])/3 + (2*t[6])/3 + t[9] + t[10]/3 - 
       (2*t[11])/3 + (2*t[12])/3 + (2*t[13])/9 + (13*t[14])/18 + 
       (5*t[15])/18 + (2*t[24])/3 + (2*t[33])/3 - (2*t[48])/3 - t[49]/3 - 
       (2*t[50])/3 + t[51]/6 + (2*t[52])/3 + t[53]/3 + (4*t[54])/3 + 
       (2*t[60])/3 + (2*t[61])/3 - t[62]/3 + t[63]/3 + t[64]/3 - 
       (8*t[65])/9 - (16*t[66])/9 - (2*t[82])/3 + (2*t[85])/3 - (2*t[87])/3 - 
       t[88]/3 - t[89]/3)*\[Zeta][2] + HPL[{1}, 1 - v]*Omega2[v, w, u]*
      ((-2*t[4])/3 - (10*t[5])/3 + (2*t[6])/3 + t[9] + t[10]/3 - 
       (2*t[11])/3 + (2*t[12])/3 + (2*t[13])/9 + (13*t[14])/18 - 
       (55*t[15])/18 - (10*t[24])/3 - (10*t[33])/3 - (2*t[48])/3 - t[49]/3 - 
       (2*t[50])/3 + t[51]/6 + (2*t[52])/3 + t[53]/3 + (4*t[54])/3 + 
       (2*t[60])/3 + (2*t[61])/3 - t[62]/3 + t[63]/3 + t[64]/3 - 
       (8*t[65])/9 - (16*t[66])/9 + (10*t[82])/3 + (2*t[85])/3 - 
       (2*t[87])/3 - t[88]/3 - t[89]/3)*\[Zeta][2] + 
     Nt[u, v, w]*(-t[4]/3 + t[5]/3 + t[6]/3 + t[9]/2 + t[10]/6 - t[11]/3 + 
       t[12]/3 + t[13]/9 + (13*t[14])/36 + (65*t[15])/36 + (7*t[24])/3 + 
       (7*t[33])/3 - t[48]/3 - t[49]/6 - t[50]/3 + t[51]/12 + t[52]/3 + 
       t[53]/6 + (2*t[54])/3 + t[60]/3 + t[61]/3 - t[62]/6 + t[63]/6 + 
       t[64]/6 - (4*t[65])/9 - (8*t[66])/9 - (7*t[82])/3 + t[85]/3 - 
       t[87]/3 - t[88]/6 - t[89]/6)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*(-7*t[3] + (3*t[4])/4 - (7*t[5])/2 - 
       4*t[6] + (25*t[7])/4 - (7*t[8])/2 + 10*t[9] - (3*t[10])/8 + 
       (19*t[11])/4 - (3*t[12])/8 + (7*t[13])/12 + (487*t[14])/48 + 
       (17*t[15])/24 - t[29] - (9*t[30])/2 + t[32]/2 - t[33]/2 - 5*t[44] - 
       (9*t[48])/4 + (3*t[49])/8 + (3*t[50])/2 - (3*t[51])/16 - (3*t[52])/2 - 
       (3*t[53])/8 - (19*t[54])/4 - t[59]/3 + (55*t[60])/4 - t[61]/2 - 
       (107*t[62])/24 - (39*t[63])/8 - (59*t[64])/4 - (67*t[65])/12 - 
       (59*t[66])/4 - t[73] - 3*t[75] + t[81]/2 - t[82]/2 + 3*t[83] + 
       (13*t[84])/4 + 4*t[85] - (33*t[87])/4 - (33*t[88])/8 + (7*t[89])/8)*
      \[Zeta][2] + HPL[{1}, 1 - w]*Omega2[w, u, v]*(-24*t[2] - (11*t[3])/2 + 
       18*t[4] - 19*t[5] + (3*t[6])/2 - 7*t[7] + 21*t[8] - (15*t[9])/2 + 
       3*t[10] + (47*t[11])/2 - (9*t[12])/2 + (5*t[13])/2 + (15*t[14])/4 + 
       t[15]/6 - 4*t[24] + 2*t[28] - 2*t[32] - 2*t[33] - 10*t[36] + t[41] - 
       t[42] + t[46] - 2*t[47] + 3*t[48] + 8*t[49] - 3*t[50] - (17*t[51])/4 + 
       3*t[52] - 8*t[53] - 4*t[54] + 2*t[59] + 22*t[60] + 20*t[61] - 
       19*t[62] - 3*t[63] - (15*t[64])/2 + (5*t[65])/6 - (21*t[66])/2 + 
       2*t[77] - 2*t[78] + t[81] + 3*t[82] + 5*t[83] + (3*t[84])/2 + 
       7*t[85] + 20*t[86] - 10*t[87] - 5*t[88] + (7*t[89])/2)*\[Zeta][2] + 
     Qep[u, v, w]*((-64*t[2])/3 + (64*t[3])/3 - (256*t[4])/9 - (128*t[5])/9 + 
       (64*t[6])/9 - (128*t[7])/3 + 192*t[8] - (448*t[9])/3 + (128*t[10])/9 - 
       (448*t[11])/9 - (128*t[12])/9 - (128*t[13])/27 - (320*t[14])/27 - 
       (928*t[15])/27 - (128*t[24])/9 - (128*t[33])/9 + (128*t[48])/9 + 
       (64*t[49])/9 - (256*t[50])/9 - (128*t[51])/9 + (256*t[52])/9 - 
       (64*t[53])/9 + (512*t[54])/9 - (128*t[60])/9 - (128*t[61])/9 + 
       (64*t[62])/9 - (64*t[63])/9 - (64*t[64])/9 + (512*t[65])/27 + 
       (1024*t[66])/27 + (512*t[82])/9 - (128*t[85])/9 + (128*t[87])/9 + 
       (64*t[88])/9 + (64*t[89])/9)*\[Zeta][2] + HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]*(-t[3]/4 - (29*t[5])/8 + (21*t[6])/2 - (21*t[7])/2 + 
       (139*t[8])/4 + (11*t[9])/8 + (3*t[10])/4 - (45*t[11])/4 - 
       (3*t[12])/8 - (11*t[13])/12 + (27*t[14])/8 - (313*t[15])/144 - t[28] + 
       (21*t[29])/4 - 5*t[30] - (33*t[44])/4 + (31*t[48])/4 - (13*t[50])/2 + 
       (13*t[52])/2 + (21*t[54])/2 + (13*t[60])/2 - (17*t[61])/2 + 
       (101*t[62])/8 - (93*t[63])/8 + (7*t[64])/4 + (167*t[65])/36 + 
       (139*t[66])/12 - t[73] - 3*t[75] + t[79] + 3*t[83] + (13*t[84])/4 + 
       (13*t[85])/4 - 3*t[86] - (15*t[87])/2 - (15*t[88])/4 + (45*t[89])/4)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (-14*t[2] + 12*t[3] + 19*t[4] - (5*t[5])/2 + 11*t[6] + 3*t[7] + 
       65*t[8] + (15*t[9])/2 - (9*t[10])/2 + 16*t[11] - 20*t[12] + 
       (17*t[13])/18 + (71*t[14])/12 - (53*t[15])/12 + 4*t[24] - 4*t[28] - 
       4*t[33] + 4*t[36] + 4*t[37] - 2*t[43] - 4*t[44] - 2*t[46] + 13*t[48] + 
       (3*t[49])/2 - 13*t[50] - (9*t[51])/4 + 13*t[52] - (3*t[53])/2 + 
       4*t[54] + 35*t[60] + 17*t[61] + (45*t[62])/2 - (21*t[63])/2 + 
       (9*t[64])/2 + (47*t[65])/3 + (35*t[66])/3 + 8*t[74] + 4*t[79] - 
       16*t[80] - 8*t[81] + 12*t[82] - 8*t[83] + 9*t[84] + 5*t[85] - 
       12*t[86] - 23*t[87] - (23*t[88])/2 + (35*t[89])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*(-21*t[2] + 18*t[3] + 
       (57*t[4])/2 - (15*t[5])/4 + (33*t[6])/2 + (9*t[7])/2 + (195*t[8])/2 + 
       (45*t[9])/4 - (27*t[10])/4 + 24*t[11] - 30*t[12] + (17*t[13])/12 + 
       (71*t[14])/8 - (53*t[15])/8 + 6*t[24] - 6*t[28] - 6*t[33] + 6*t[36] + 
       6*t[37] - 3*t[43] - 6*t[44] - 3*t[46] + (39*t[48])/2 + (9*t[49])/4 - 
       (39*t[50])/2 - (27*t[51])/8 + (39*t[52])/2 - (9*t[53])/4 + 6*t[54] + 
       (117*t[60])/2 + (39*t[61])/2 + (123*t[62])/4 - (51*t[63])/4 + 
       (15*t[64])/4 + (63*t[65])/2 + (35*t[66])/2 + 12*t[74] + 6*t[79] - 
       24*t[80] - 12*t[81] + 18*t[82] - 12*t[83] + (27*t[84])/2 + 
       (27*t[85])/2 - 18*t[86] - (81*t[87])/2 - (81*t[88])/4 + (117*t[89])/4)*
      \[Zeta][2] + Qep[u, w, v]*((-632*t[2])/3 - (64*t[3])/3 + (376*t[4])/9 + 
       (476*t[5])/9 + (32*t[6])/9 + (272*t[7])/3 + 80*t[8] - (668*t[9])/3 - 
       (1628*t[10])/9 + (2080*t[11])/9 + (368*t[12])/9 + (5480*t[13])/27 + 
       (506*t[14])/27 - (3650*t[15])/27 - (352*t[24])/9 + 32*t[32] + 
       (512*t[33])/9 + 32*t[37] + 16*t[41] - 16*t[42] + 16*t[43] + 32*t[44] + 
       32*t[47] + (64*t[48])/9 + (140*t[49])/9 + (448*t[50])/9 - 
       (118*t[51])/9 - (448*t[52])/9 - (140*t[53])/9 - (824*t[54])/9 + 
       32*t[59] + (1592*t[60])/9 + (3752*t[61])/9 + (644*t[62])/9 + 
       (1372*t[63])/9 - (1364*t[64])/9 + (4864*t[65])/27 - (16192*t[66])/27 - 
       160*t[74] - 32*t[77] - 32*t[78] + 80*t[81] - (176*t[82])/9 + 
       32*t[84] - (136*t[85])/9 + 64*t[86] - (152*t[87])/9 - (76*t[88])/9 - 
       (220*t[89])/9 - 64*t[95] - 384*t[99] - 768*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*(-10*t[1] + (29*t[2])/2 - 
       32*t[3] + (5*t[4])/6 - (403*t[5])/12 + (185*t[6])/12 + (123*t[7])/2 - 
       (17*t[8])/2 + (311*t[9])/4 - (205*t[10])/6 + (1087*t[11])/12 + 
       (905*t[12])/12 + (961*t[13])/18 + (8227*t[14])/72 + (1451*t[15])/72 + 
       (2*t[24])/3 + 16*t[25] - 2*t[26] - 6*t[27] - 8*t[30] + 2*t[32] + 
       (20*t[33])/3 + 6*t[36] - 42*t[37] - 14*t[38] + 15*t[39] - 2*t[40] - 
       t[41] + t[42] - 3*t[43] + 4*t[44] + 4*t[45] + 2*t[46] - 6*t[47] + 
       (97*t[48])/12 - (155*t[49])/6 - (119*t[50])/12 + (115*t[51])/24 - 
       (25*t[52])/12 + (65*t[53])/6 + (241*t[54])/12 + 7*t[59] + 
       (215*t[60])/3 + (2521*t[61])/6 - (1213*t[62])/12 + (241*t[63])/12 - 
       (653*t[64])/12 - (61*t[65])/18 - (3287*t[66])/18 + 4*t[70] - 4*t[71] - 
       8*t[74] - t[76] + 23*t[78] - 4*t[79] + 76*t[80] + 16*t[81] - 
       (80*t[82])/3 + 2*t[83] + (67*t[84])/2 - (443*t[85])/6 - 32*t[86] - 
       (109*t[87])/6 + (83*t[88])/12 - (419*t[89])/6 - 8*t[95] - 2*t[96] + 
       6*t[97] - 48*t[98] + 192*t[99] - 720*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((-23*t[1])/8 + (33*t[2])/16 + 
       (717*t[3])/32 - (775*t[4])/48 + (1391*t[5])/96 + (3619*t[6])/192 - 
       (517*t[7])/16 + (349*t[8])/4 - (837*t[9])/8 - (10661*t[10])/96 + 
       (12749*t[11])/192 - (503*t[12])/48 + (7081*t[13])/96 - (19*t[14])/18 + 
       (7699*t[15])/576 - 2*t[19] - 2*t[21] + 2*t[23] + (28*t[24])/3 + 
       8*t[25] - t[26] - (7*t[27])/2 + (23*t[29])/8 - (9*t[30])/2 - 2*t[31] - 
       15*t[32] + (253*t[33])/12 + (41*t[34])/4 - 5*t[36] - (127*t[37])/4 - 
       (33*t[38])/4 - (43*t[39])/4 + (129*t[40])/8 + (5*t[41])/4 - 
       (5*t[42])/4 + (33*t[43])/8 - (371*t[44])/16 - (11*t[45])/4 + 
       (11*t[46])/4 - (11*t[47])/2 + (3713*t[48])/192 - (2431*t[49])/96 - 
       (4675*t[50])/192 + (931*t[51])/192 + (1651*t[52])/192 + 
       (223*t[53])/96 + (6071*t[54])/192 - t[58] + (13*t[59])/8 + 
       (4199*t[60])/96 + (21815*t[61])/96 + (14041*t[62])/192 + 
       (5255*t[63])/192 + (7679*t[64])/192 + (6493*t[65])/288 - 
       (26053*t[66])/288 - (7*t[70])/2 + (7*t[71])/2 - (11*t[72])/2 + 
       5*t[73] - (39*t[74])/4 - 5*t[75] - 29*t[76] - (19*t[77])/4 + 
       72*t[78] + 14*t[79] + (145*t[80])/2 + (41*t[81])/8 - (191*t[82])/24 - 
       (13*t[83])/2 + (1363*t[84])/32 - (5365*t[85])/96 + (27*t[86])/2 + 
       (637*t[87])/96 - (2771*t[88])/192 - (8543*t[89])/192 - (9*t[95])/2 - 
       6*t[96] - (35*t[97])/4 - 18*t[98] + 135*t[99] - 708*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-97*t[1])/8 + (113*t[2])/16 - (637*t[3])/16 + (8435*t[4])/48 - 
       (6925*t[5])/96 - (6935*t[6])/192 + (145*t[7])/2 - (2805*t[8])/16 + 
       (1381*t[9])/16 - (6383*t[10])/96 + (48071*t[11])/192 + 
       (331*t[12])/48 + (1637*t[13])/24 + (18421*t[14])/144 - 
       (169*t[15])/72 - 2*t[18] - 2*t[19] + 2*t[20] + 2*t[21] + 2*t[23] - 
       (20*t[24])/3 + 6*t[25] - 5*t[26] + (3*t[28])/2 + (109*t[29])/4 + 
       16*t[30] - 4*t[31] - (11*t[32])/2 - (53*t[33])/12 - (3*t[34])/4 - 
       3*t[35] + 5*t[36] + (49*t[37])/4 - t[38]/2 - 6*t[39] + (123*t[40])/8 - 
       (9*t[41])/2 + (5*t[42])/2 - (129*t[43])/8 + (51*t[44])/8 + 
       (15*t[45])/4 - (17*t[46])/4 - (17*t[47])/2 - (5881*t[48])/192 + 
       (2459*t[49])/96 + (12443*t[50])/192 - (1367*t[51])/192 - 
       (15563*t[52])/192 - (2843*t[53])/96 - (15931*t[54])/192 - t[58] - 
       t[59]/2 + (18737*t[60])/96 + (42635*t[61])/96 - (13403*t[62])/192 + 
       (35603*t[63])/192 - (54229*t[64])/192 - (43991*t[65])/288 - 
       (117997*t[66])/288 + 2*t[69] - (11*t[70])/2 + (11*t[71])/2 + 7*t[73] - 
       (53*t[74])/4 - 7*t[75] - (43*t[76])/2 - (69*t[77])/4 + (305*t[78])/4 - 
       131*t[80] + (233*t[81])/8 - (1469*t[82])/24 - 4*t[83] + 
       (1835*t[84])/32 - (1225*t[85])/96 - (125*t[86])/2 - (10463*t[87])/96 - 
       (13295*t[88])/192 - (22493*t[89])/192 - (9*t[95])/2 - (5*t[96])/2 - 
       7*t[97] - 18*t[98] + 135*t[99] - 708*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*(-6*t[1] - 5*t[2] - 47*t[3] + 
       (565*t[4])/3 - (373*t[5])/3 + (695*t[6])/12 - (103*t[7])/4 + 
       (259*t[8])/4 + (339*t[9])/4 + (541*t[10])/12 + (779*t[11])/6 - 
       (173*t[12])/6 + (985*t[13])/72 + (6743*t[14])/36 + (539*t[15])/72 - 
       2*t[18] + 6*t[19] - 10*t[21] + 2*t[22] + 12*t[23] - (10*t[24])/3 + 
       8*t[25] - 8*t[26] - 8*t[27] + 6*t[29] - 2*t[30] - 4*t[32] - 
       (22*t[33])/3 - 2*t[34] - 8*t[36] - 4*t[38] + 6*t[39] - 13*t[41] + 
       11*t[42] - (63*t[43])/4 - 20*t[44] - (13*t[45])/2 - 13*t[46] - 
       9*t[47] + (143*t[48])/6 + (161*t[49])/3 - (67*t[50])/6 - 
       (247*t[51])/12 + (115*t[52])/6 - (161*t[53])/3 + (53*t[54])/6 - 
       2*t[58] - 2*t[59] + (1273*t[60])/6 + (2437*t[61])/6 - (359*t[62])/6 + 
       (1271*t[63])/6 - (3767*t[64])/12 - (2186*t[65])/9 - (5399*t[66])/18 + 
       4*t[70] - 2*t[71] + 12*t[74] - 13*t[76] - 4*t[77] + 50*t[78] - 
       134*t[80] + 21*t[81] - (98*t[82])/3 + 4*t[83] + 50*t[84] - 
       (46*t[85])/3 - 122*t[86] - (488*t[87])/3 - (244*t[88])/3 - 
       (1717*t[89])/12 - 48*t[98] + 216*t[99] - 672*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*(-2*t[1] + (7*t[2])/2 + 
       (71*t[3])/4 + (329*t[4])/4 - 53*t[5] - (87*t[6])/2 + 76*t[7] - 
       65*t[8] + (283*t[9])/2 - (89*t[10])/8 + 220*t[11] + (455*t[12])/8 + 
       (427*t[13])/12 + (4129*t[14])/48 + (124*t[15])/9 + 2*t[22] + 
       28*t[24] + 10*t[25] - 6*t[26] + 6*t[27] + 20*t[28] + 7*t[29] - 
       10*t[30] - 14*t[31] - 11*t[32] + 30*t[33] - 6*t[34] + 4*t[35] - 
       34*t[36] + 4*t[37] + 12*t[39] + 12*t[40] - 2*t[41] + 2*t[42] - 
       (11*t[43])/2 + (17*t[44])/2 - 12*t[45] + 8*t[46] + 30*t[47] - 
       4*t[48] + (149*t[49])/8 + 5*t[50] - (353*t[51])/16 - 27*t[52] - 
       (93*t[53])/8 - (217*t[54])/4 - 2*t[58] + 3*t[59] + (669*t[60])/4 + 
       (1741*t[61])/4 - (1217*t[62])/8 - (439*t[63])/8 + (1605*t[64])/8 - 
       (2011*t[65])/12 - (4705*t[66])/12 + 28*t[73] + 16*t[74] - 12*t[75] + 
       36*t[76] - 16*t[77] - 12*t[78] + 4*t[79] + 24*t[80] + 20*t[81] - 
       78*t[82] + 6*t[83] + (125*t[84])/4 - (7*t[85])/4 + 130*t[86] - 
       (577*t[87])/4 - (561*t[88])/8 - (925*t[89])/8 - 8*t[95] + 12*t[96] + 
       10*t[97] + 176*t[98] - 40*t[99] - 668*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(t[1]/2 + (941*t[2])/6 + 
       (967*t[3])/24 - (55*t[4])/6 + (1361*t[5])/12 + (2795*t[6])/48 + 
       (1463*t[7])/12 + (101*t[8])/6 + (201*t[9])/8 - (139*t[10])/4 + 
       (1445*t[11])/48 - (149*t[12])/2 - (1345*t[13])/216 + 
       (19567*t[14])/144 + (19019*t[15])/216 - 4*t[18] - (16*t[20])/3 - 
       8*t[21] + 8*t[22] + 10*t[23] + (181*t[24])/3 + (2*t[27])/3 - 4*t[28] + 
       (37*t[29])/6 - 52*t[30] + 8*t[31] - (17*t[32])/3 + 7*t[33] + 
       (23*t[34])/3 + 16*t[35] + 68*t[36] - (100*t[37])/3 - (11*t[38])/3 + 
       (41*t[39])/3 - (85*t[40])/6 - (43*t[41])/6 + (31*t[42])/6 - 
       (14*t[43])/3 - (119*t[44])/4 - 25*t[45] + 7*t[46] - 19*t[47] + 
       (121*t[48])/48 - (9*t[49])/4 - (537*t[50])/16 - (41*t[51])/24 + 
       (713*t[52])/16 + (107*t[53])/12 + (1049*t[54])/16 + 4*t[57] - 
       (47*t[59])/6 + (115*t[60])/8 + (5693*t[61])/24 - (3387*t[62])/16 + 
       (523*t[63])/16 - (4895*t[64])/48 - (14047*t[65])/72 - (129*t[66])/8 + 
       8*t[69] + (14*t[70])/3 - (14*t[71])/3 - 8*t[72] - 24*t[73] + 
       74*t[74] + 8*t[75] + (49*t[76])/3 + (2*t[77])/3 - (106*t[78])/3 - 
       56*t[79] + 46*t[80] - (34*t[81])/3 - (19*t[82])/3 - (4*t[83])/3 - 
       (89*t[84])/8 - (481*t[85])/8 - 36*t[86] - (3341*t[87])/24 - 
       (4045*t[88])/48 - (4825*t[89])/48 + (40*t[96])/3 + 9*t[97] + 
       200*t[98] + 48*t[99] - 632*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*((7*t[1])/2 - (433*t[2])/6 - 
       (557*t[3])/12 + (363*t[4])/2 - (1243*t[5])/6 + (323*t[6])/16 - 
       (112*t[7])/3 + (961*t[8])/12 + (887*t[9])/24 + (409*t[10])/4 + 
       (10007*t[11])/48 + (101*t[12])/3 + (386*t[13])/27 + (8063*t[14])/48 + 
       (31831*t[15])/432 - 4*t[19] - 4*t[20] + 4*t[21] + 8*t[22] - 4*t[23] + 
       13*t[24] - (16*t[27])/3 + 2*t[28] + (17*t[29])/3 + (2*t[30])/3 + 
       6*t[31] - (55*t[32])/3 + 7*t[33] + 5*t[34] - 12*t[35] - 68*t[36] - 
       (28*t[37])/3 - (2*t[38])/3 + (32*t[39])/3 - (103*t[40])/6 - t[41]/6 + 
       t[42]/6 - (53*t[43])/3 - (269*t[44])/6 - (23*t[45])/3 - 9*t[46] - 
       30*t[47] - (17*t[48])/48 + (611*t[49])/12 + (67*t[50])/48 - 
       (517*t[51])/24 + (111*t[52])/16 - (161*t[53])/4 - (2111*t[54])/48 + 
       4*t[57] - (16*t[59])/3 + (1725*t[60])/8 + (10301*t[61])/24 - 
       (5801*t[62])/48 + (3195*t[63])/16 - (3485*t[64])/16 - 
       (7805*t[65])/24 - (5399*t[66])/24 - (10*t[70])/3 + (10*t[71])/3 - 
       (28*t[72])/3 - 32*t[73] + 20*t[74] + 16*t[75] + (56*t[76])/3 + 
       (46*t[77])/3 - (100*t[78])/3 - 4*t[79] - (160*t[80])/3 + 14*t[81] - 
       41*t[82] + (8*t[83])/3 - (143*t[84])/24 - (427*t[85])/24 - 162*t[86] - 
       (5477*t[87])/24 - (6181*t[88])/48 - (1785*t[89])/16 + (70*t[96])/3 + 
       12*t[97] + 200*t[98] + 48*t[99] - 632*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*(2*t[1] - (19*t[2])/2 - 
       (147*t[3])/2 + (403*t[4])/4 - (863*t[5])/8 + 80*t[6] + (117*t[7])/2 + 
       183*t[8] + (1137*t[9])/8 - (543*t[10])/8 + (873*t[11])/4 + 
       (59*t[12])/2 + (2593*t[13])/36 + (7469*t[14])/48 + (3487*t[15])/144 + 
       4*t[19] - 4*t[21] + 4*t[23] + 4*t[24] - 8*t[27] - 12*t[28] + 7*t[29] - 
       16*t[30] - 4*t[31] - 6*t[32] + 2*t[33] + 8*t[34] + 8*t[35] - 
       40*t[36] - 2*t[37] - 2*t[38] + 10*t[39] - 13*t[40] + 5*t[41] - 
       5*t[42] - (13*t[43])/4 - (43*t[44])/2 + 5*t[45] - 4*t[46] + 6*t[47] + 
       32*t[48] + (283*t[49])/8 - 12*t[50] - (287*t[51])/16 + 20*t[52] - 
       (219*t[53])/8 - (87*t[54])/4 - 4*t[57] + 3*t[59] + (455*t[60])/4 + 
       (1701*t[61])/4 - (1141*t[62])/8 - (499*t[63])/8 + (1617*t[64])/8 - 
       (519*t[65])/4 - (4403*t[66])/12 + 28*t[73] + 26*t[74] - 12*t[75] + 
       38*t[76] + 2*t[77] - 26*t[78] + 4*t[79] + 30*t[80] + 19*t[81] - 
       47*t[82] + 6*t[83] + (93*t[84])/4 - (21*t[85])/4 + 105*t[86] - 
       (491*t[87])/4 - (491*t[88])/8 - (783*t[89])/8 - 4*t[95] + 12*t[96] + 
       10*t[97] + 80*t[98] + 80*t[99] - 572*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*(2*t[1] + (165*t[2])/2 - 
       (53*t[3])/2 - (69*t[4])/4 + (425*t[5])/8 + 13*t[6] + (101*t[7])/2 + 
       77*t[8] + (633*t[9])/8 - (223*t[10])/8 + (237*t[11])/4 + 
       (85*t[12])/2 + (889*t[13])/36 + (3925*t[14])/48 + (5311*t[15])/144 + 
       8*t[21] - 8*t[23] + 16*t[24] + 4*t[27] + 20*t[28] - 5*t[29] - 
       28*t[30] - 4*t[31] - 10*t[32] + 14*t[33] + 8*t[34] - 12*t[35] + 
       40*t[36] - 22*t[37] - 2*t[38] + 22*t[39] - 13*t[40] + 5*t[41] - 
       5*t[42] - (5*t[43])/4 - (11*t[44])/2 - 13*t[45] + 2*t[47] + 15*t[48] - 
       (197*t[49])/8 - 15*t[50] + (137*t[51])/16 + 23*t[52] + (261*t[53])/8 + 
       (197*t[54])/4 - 4*t[57] - 3*t[59] - (33*t[60])/4 + (909*t[61])/4 - 
       (1101*t[62])/8 - (859*t[63])/8 - (247*t[64])/8 + (65*t[65])/4 - 
       (1499*t[66])/12 - 12*t[69] + 28*t[73] + 18*t[74] - 8*t[75] + 
       26*t[76] + 2*t[77] + 2*t[78] + 32*t[79] + 98*t[80] - 5*t[81] + 
       25*t[82] - 14*t[83] + (77*t[84])/4 - (245*t[85])/4 - 15*t[86] + 
       (85*t[87])/4 + (85*t[88])/8 - (543*t[89])/8 - 4*t[95] + 12*t[96] + 
       10*t[97] + 80*t[98] + 80*t[99] - 572*t[100])*\[Zeta][2] + 
     Qep[w, v, u]*(-112*t[2] - (128*t[3])/3 + (464*t[4])/9 + (40*t[5])/9 + 
       (64*t[6])/9 + (352*t[7])/3 - (608*t[8])/3 + 72*t[9] - (1192*t[10])/9 + 
       (1856*t[11])/9 + (544*t[12])/9 + (3952*t[13])/27 + (1180*t[14])/27 - 
       (1996*t[15])/27 - (320*t[24])/9 + (64*t[32])/3 + (256*t[33])/9 + 
       (64*t[37])/3 + (32*t[41])/3 - (32*t[42])/3 + (32*t[43])/3 + 
       (64*t[44])/3 + (64*t[47])/3 - (256*t[48])/9 - (56*t[49])/9 + 
       (512*t[50])/9 + (124*t[51])/9 - (512*t[52])/9 + (56*t[53])/9 - 
       (976*t[54])/9 + (64*t[59])/3 + (1360*t[60])/9 + (2800*t[61])/9 + 
       (280*t[62])/9 + (1064*t[63])/9 - (760*t[64])/9 + (2048*t[65])/27 - 
       (13184*t[66])/27 - (320*t[74])/3 - (64*t[77])/3 - (64*t[78])/3 + 
       (160*t[81])/3 - (544*t[82])/9 + (64*t[84])/3 + (208*t[85])/9 + 
       (128*t[86])/3 - (400*t[87])/9 - (200*t[88])/9 - (296*t[89])/9 - 
       (128*t[95])/3 - 256*t[99] - 512*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*(-3*t[1] + 103*t[2] - 46*t[3] - 
       (87*t[4])/2 + (201*t[5])/8 + (13*t[6])/2 + (59*t[7])/2 - 41*t[8] + 
       (1349*t[9])/8 + (651*t[10])/4 + (55*t[11])/4 - (231*t[12])/8 - 
       (649*t[13])/36 + (1195*t[14])/6 + (9853*t[15])/144 + 4*t[19] + 
       8*t[21] - 4*t[22] - 8*t[23] + 4*t[24] + 24*t[25] - 20*t[26] - 
       2*t[27] - 4*t[28] + 5*t[29] - 34*t[30] + 4*t[31] - 17*t[32] - 
       24*t[33] + 6*t[34] - 44*t[35] + 8*t[36] - 22*t[37] - 6*t[38] + 
       18*t[39] - 14*t[40] - 2*t[41] + 2*t[42] + (17*t[43])/4 - 
       (37*t[44])/2 + t[45] + 5*t[46] - 44*t[47] - (35*t[48])/2 + 
       (15*t[49])/4 - (63*t[50])/2 - (209*t[51])/8 + (67*t[52])/2 + 
       (25*t[53])/4 + (31*t[54])/2 - 4*t[57] - 2*t[58] - 10*t[59] + 
       (369*t[60])/2 + (559*t[61])/2 - (319*t[62])/4 + (227*t[63])/4 - 
       (251*t[64])/4 - (1265*t[65])/6 - (551*t[66])/6 - 10*t[69] + 24*t[73] + 
       80*t[74] + 32*t[75] + 42*t[76] + 14*t[77] + 24*t[78] + 44*t[79] + 
       46*t[80] + 12*t[81] + 12*t[82] - 49*t[83] + 54*t[84] - 2*t[85] - 
       93*t[86] - 129*t[87] - (129*t[88])/2 - (443*t[89])/4 + 16*t[95] + 
       4*t[97] + 176*t[98] + 80*t[99] - 428*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (-3*t[1] - (148*t[2])/3 + (377*t[3])/6 + (160*t[4])/3 + (317*t[5])/4 + 
       (1765*t[6])/48 + (137*t[7])/6 + (299*t[8])/4 - (1993*t[9])/24 - 
       (355*t[10])/6 + (6347*t[11])/48 + (17*t[12])/2 + (3811*t[13])/54 + 
       (65*t[14])/48 - (1063*t[15])/144 + (4*t[20])/3 - 2*t[22] - 11*t[24] - 
       (2*t[27])/3 - (8*t[28])/3 + 4*t[29] + (109*t[30])/6 + 6*t[31] - 
       14*t[32] - (31*t[33])/6 + 21*t[34] + 16*t[35] - 4*t[36] + 
       (22*t[37])/3 - (16*t[38])/3 - (2*t[39])/3 - (11*t[40])/6 + 
       (8*t[41])/3 - (8*t[42])/3 - t[43]/3 + (233*t[44])/12 - 26*t[45] - 
       t[46] + 16*t[47] + (553*t[48])/16 + (97*t[49])/3 - (1225*t[50])/48 - 
       (241*t[51])/12 + (1609*t[52])/48 - 27*t[53] - (1643*t[54])/48 + 
       (37*t[59])/6 - (75*t[60])/8 + (3095*t[61])/24 + (4829*t[62])/48 + 
       (3353*t[63])/16 - (2945*t[64])/48 + (3613*t[65])/72 - 
       (3649*t[66])/72 + 2*t[69] - (14*t[70])/3 + (14*t[71])/3 + 4*t[72] + 
       6*t[73] - (74*t[74])/3 + 12*t[75] + (116*t[76])/3 - (8*t[77])/3 - 
       (131*t[78])/3 + 18*t[79] + 4*t[80] + (23*t[81])/3 + (101*t[82])/3 - 
       39*t[83] - (875*t[84])/24 - (61*t[85])/8 - (146*t[86])/3 - 
       (471*t[87])/8 - (911*t[88])/16 - (1943*t[89])/48 + (40*t[95])/3 + 
       (38*t[96])/3 + 4*t[97] + 248*t[98] - 272*t[99] - 335*t[100])*
      \[Zeta][2] + Qep[w, u, v]*(-56*t[2] - (64*t[3])/3 + (232*t[4])/9 - 
       (268*t[5])/9 + (32*t[6])/9 + (176*t[7])/3 - (304*t[8])/3 + 36*t[9] - 
       (596*t[10])/9 + (928*t[11])/9 + (272*t[12])/9 + (1976*t[13])/27 + 
       (590*t[14])/27 - (2438*t[15])/27 - (736*t[24])/9 + (32*t[32])/3 - 
       (448*t[33])/9 + (32*t[37])/3 + (16*t[41])/3 - (16*t[42])/3 + 
       (16*t[43])/3 + (32*t[44])/3 + (32*t[47])/3 - (128*t[48])/9 - 
       (28*t[49])/9 + (256*t[50])/9 + (62*t[51])/9 - (256*t[52])/9 + 
       (28*t[53])/9 - (488*t[54])/9 + (32*t[59])/3 + (680*t[60])/9 + 
       (1400*t[61])/9 + (140*t[62])/9 + (532*t[63])/9 - (380*t[64])/9 + 
       (1024*t[65])/27 - (6592*t[66])/27 - (160*t[74])/3 - (32*t[77])/3 - 
       (32*t[78])/3 + (80*t[81])/3 + (304*t[82])/9 + (32*t[84])/3 + 
       (104*t[85])/9 + (64*t[86])/3 - (200*t[87])/9 - (100*t[88])/9 - 
       (148*t[89])/9 - (64*t[95])/3 - 128*t[99] - 256*t[100])*\[Zeta][2] + 
     Qep[v, u, w]*(-56*t[2] - (64*t[3])/3 + 40*t[4] + (124*t[5])/3 - 
       (32*t[6])/3 + (176*t[7])/3 - (304*t[8])/3 + (44*t[9])/3 - 
       (220*t[10])/3 + (352*t[11])/3 + 16*t[12] + (616*t[13])/9 + 
       (58*t[14])/9 - (226*t[15])/9 - (32*t[24])/3 + (32*t[32])/3 + 
       (64*t[33])/3 + (32*t[37])/3 + (16*t[41])/3 - (16*t[42])/3 + 
       (16*t[43])/3 + (32*t[44])/3 + (32*t[47])/3 + 4*t[49] + (128*t[50])/3 + 
       (10*t[51])/3 - (128*t[52])/3 - 4*t[53] - (248*t[54])/3 + 
       (32*t[59])/3 + (184*t[60])/3 + (424*t[61])/3 + (68*t[62])/3 + 
       52*t[63] - (148*t[64])/3 + (512*t[65])/9 - (1856*t[66])/9 - 
       (160*t[74])/3 - (32*t[77])/3 - (32*t[78])/3 + (80*t[81])/3 - 
       (112*t[82])/3 + (32*t[84])/3 - (8*t[85])/3 + (64*t[86])/3 - 8*t[87] - 
       4*t[88] - (28*t[89])/3 - (64*t[95])/3 - 128*t[99] - 256*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      (9*t[2] + 6*t[3] + (143*t[4])/3 + (71*t[5])/6 + (58*t[6])/3 + 11*t[7] + 
       88*t[8] - (69*t[9])/2 - (173*t[10])/6 + (266*t[11])/3 + (4*t[12])/3 + 
       (955*t[13])/18 + (685*t[14])/36 + (629*t[15])/36 - 2*t[20] + 4*t[22] + 
       (16*t[24])/3 - 6*t[29] + 8*t[30] - 2*t[31] + t[32] + (28*t[33])/3 - 
       4*t[36] + 3*t[40] + 2*t[43] + t[44] + 2*t[46] + (8*t[48])/3 + 
       (77*t[49])/6 + (8*t[50])/3 - (71*t[51])/12 - (8*t[52])/3 - 
       (77*t[53])/6 - (49*t[54])/3 + 4*t[59] + (22*t[60])/3 + (367*t[61])/3 - 
       (17*t[62])/3 + (143*t[63])/3 - (403*t[64])/3 + (308*t[65])/9 - 
       (914*t[66])/9 - 2*t[69] + 2*t[72] - 8*t[74] - 4*t[75] - 6*t[76] - 
       4*t[77] - 4*t[78] - 4*t[79] + 4*t[80] + 4*t[81] - (52*t[82])/3 + 
       t[83] - t[84] - (47*t[85])/3 + 24*t[86] + (2*t[87])/3 + t[88]/3 - 
       (20*t[89])/3 - 16*t[99] - 214*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((5*t[1])/2 + (89*t[2])/6 - (295*t[3])/6 + (85*t[4])/3 - (47*t[5])/2 - 
       (223*t[6])/48 + (253*t[7])/6 + (139*t[8])/12 + (527*t[9])/24 + 
       (53*t[10])/6 + (837*t[11])/16 + (121*t[12])/12 - (97*t[13])/27 + 
       (5879*t[14])/144 - (3707*t[15])/432 - 2*t[19] + 2*t[20] + 2*t[21] - 
       (25*t[24])/3 - (4*t[27])/3 + 6*t[28] + (8*t[29])/3 + (44*t[30])/3 - 
       8*t[31] + (71*t[32])/3 - (43*t[33])/3 - 15*t[34] - 14*t[35] + 
       4*t[36] + (26*t[37])/3 + (16*t[38])/3 + (2*t[39])/3 + (77*t[40])/6 + 
       (11*t[41])/6 - (17*t[42])/6 + (7*t[43])/3 - (4*t[44])/3 + 
       (103*t[45])/3 - t[46] - 23*t[47] + (119*t[48])/48 - (47*t[49])/3 + 
       (203*t[50])/48 + (41*t[51])/4 - (1339*t[52])/48 + (55*t[53])/3 + 
       (857*t[54])/48 + (2*t[59])/3 + (1843*t[60])/24 + (1775*t[61])/8 - 
       (1435*t[62])/16 - (647*t[63])/48 - (2903*t[64])/48 - (1207*t[65])/72 - 
       (8681*t[66])/72 + (2*t[70])/3 - (2*t[71])/3 + (8*t[72])/3 - 4*t[73] - 
       14*t[74] - (64*t[76])/3 - (20*t[77])/3 + (83*t[78])/3 + 8*t[79] - 
       (178*t[80])/3 + 9*t[81] - (50*t[82])/3 - (25*t[83])/3 + 
       (781*t[84])/24 - (357*t[85])/8 - 20*t[86] + (445*t[87])/8 + 
       (1543*t[88])/48 + (713*t[89])/48 - 8*t[95] + (10*t[96])/3 - 
       176*t[98] + 168*t[99] - 180*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*(-6*t[1] - 267*t[2] + 96*t[3] + 
       (937*t[4])/4 - 18*t[5] + (719*t[6])/4 - (253*t[7])/2 + (1057*t[8])/2 - 
       98*t[9] - (215*t[10])/8 + (457*t[11])/4 - (963*t[12])/8 + 
       (539*t[13])/12 - (1775*t[14])/16 - (509*t[15])/8 - 10*t[18] + 
       8*t[19] - 12*t[20] + 16*t[21] + 12*t[22] - 16*t[23] + 14*t[24] + 
       6*t[26] - 16*t[27] - 24*t[28] + 12*t[29] - 28*t[33] + 32*t[35] + 
       12*t[36] + 26*t[37] - 6*t[38] + 19*t[41] - 16*t[42] - 12*t[43] - 
       30*t[44] - 32*t[45] - 14*t[46] + 46*t[47] + (459*t[48])/4 + 
       (311*t[49])/8 - (357*t[50])/4 - (175*t[51])/16 + (357*t[52])/4 - 
       (311*t[53])/8 + 19*t[54] + 26*t[59] + (531*t[60])/4 + (431*t[61])/4 + 
       (2195*t[62])/8 - (339*t[63])/8 + (1527*t[64])/8 + (2893*t[65])/12 + 
       (705*t[66])/4 + 16*t[69] - 26*t[70] + 26*t[71] + 12*t[73] - 4*t[74] - 
       6*t[75] - 34*t[78] + 84*t[79] - 42*t[80] - 38*t[81] + 72*t[82] - 
       84*t[83] + (201*t[84])/4 + (161*t[85])/4 - 78*t[86] - (471*t[87])/4 - 
       (471*t[88])/8 + (713*t[89])/8 - 84*t[99] - 168*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((51*t[2])/2 + 34*t[3] + (44*t[4])/3 + (157*t[5])/3 + (233*t[6])/6 - 
       (15*t[7])/2 + (155*t[8])/2 - (79*t[9])/2 - (208*t[10])/3 + 
       (307*t[11])/6 + (61*t[12])/3 + (1511*t[13])/36 - (401*t[14])/36 + 
       (617*t[15])/36 + 4*t[20] - 4*t[22] - (2*t[24])/3 - 8*t[29] - 8*t[30] - 
       4*t[31] - 7*t[32] + (16*t[33])/3 - 8*t[34] - 8*t[35] + 4*t[36] - 
       2*t[37] - t[41] + t[42] - t[43] + 6*t[44] - 2*t[46] - 2*t[47] + 
       (50*t[48])/3 - (43*t[49])/6 - (73*t[50])/3 + (37*t[51])/12 + 
       (73*t[52])/3 + (43*t[53])/6 + (5*t[54])/3 + 4*t[59] + (79*t[60])/3 + 
       (271*t[61])/3 + (323*t[62])/6 - (17*t[63])/6 - (301*t[64])/3 + 
       (655*t[65])/18 - (271*t[66])/18 + 4*t[69] + 4*t[72] + 2*t[74] - 
       4*t[75] - 6*t[76] - 2*t[77] - 2*t[78] + 12*t[79] + 4*t[80] - 9*t[81] + 
       (29*t[82])/3 - 32*t[83] + (13*t[84])/2 - (38*t[85])/3 - 24*t[86] - 
       (34*t[87])/3 - (17*t[88])/3 + (5*t[89])/6 + 4*t[95] + 8*t[99] - 
       166*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(-t[1] + (74*t[2])/3 + 
       (1573*t[3])/24 + (265*t[4])/6 + (106*t[5])/3 - (899*t[6])/16 - 
       (59*t[7])/12 - (387*t[8])/2 - (695*t[9])/8 - (743*t[10])/12 + 
       (3833*t[11])/48 + (109*t[12])/12 + (22631*t[13])/216 - 
       (12101*t[14])/144 - (2581*t[15])/72 - 4*t[20] + 2*t[22] - 
       (53*t[24])/3 - (2*t[27])/3 + (40*t[28])/3 - (17*t[29])/2 + 
       (45*t[30])/2 - 8*t[31] - (19*t[32])/3 + (35*t[33])/6 - (55*t[34])/3 - 
       32*t[35] + 4*t[36] - (14*t[37])/3 + (14*t[38])/3 + (4*t[39])/3 + 
       (61*t[40])/6 - (4*t[41])/3 + (4*t[42])/3 + (11*t[43])/3 + 
       (55*t[44])/2 + (56*t[45])/3 + 3*t[46] - 8*t[47] - (817*t[48])/16 - 
       (205*t[49])/12 + (1297*t[50])/48 + (85*t[51])/8 - (2417*t[52])/48 + 
       (173*t[53])/12 - (1131*t[54])/16 + t[59]/6 - (333*t[60])/8 + 
       (1127*t[61])/24 + (4465*t[62])/48 + (373*t[63])/16 - (8809*t[64])/48 + 
       (491*t[65])/24 - (15121*t[66])/72 - 4*t[69] - (14*t[70])/3 + 
       (14*t[71])/3 - (20*t[72])/3 + 2*t[73] - (92*t[74])/3 - 2*t[75] - 
       (50*t[76])/3 - (34*t[77])/3 + (19*t[78])/3 - (26*t[80])/3 + 
       (88*t[81])/3 - (26*t[82])/3 - 23*t[83] + (91*t[84])/8 - 
       (503*t[85])/24 - (152*t[86])/3 + (625*t[87])/8 + (281*t[88])/16 - 
       (367*t[89])/16 - (8*t[95])/3 + (2*t[96])/3 - 10*t[97] - 136*t[98] + 
       112*t[99] - 143*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*(t[1]/4 - (479*t[2])/16 - 
       (629*t[3])/32 - (1999*t[4])/144 - (6175*t[5])/288 + (7975*t[6])/576 + 
       (931*t[7])/16 + (629*t[8])/24 + (2501*t[9])/48 - (7709*t[10])/288 + 
       (14657*t[11])/576 + (163*t[12])/9 + (19369*t[13])/864 + 
       (19303*t[14])/432 + (31*t[15])/64 - (10*t[20])/3 - (73*t[24])/18 + 
       2*t[25] - (10*t[27])/3 + (67*t[29])/24 - 4*t[30] - 4*t[31] + 
       (7*t[32])/12 + (157*t[33])/36 + (13*t[34])/6 - 4*t[35] + t[36] + 
       (17*t[37])/12 - (11*t[38])/3 + (23*t[39])/3 - (103*t[40])/24 + 
       (47*t[41])/24 - (47*t[42])/24 + (17*t[43])/24 + (71*t[44])/16 - 
       (27*t[45])/4 - t[46]/4 + 11*t[47] + (2621*t[48])/576 - 
       (43*t[49])/288 + (1721*t[50])/576 - (1361*t[51])/576 - 
       (2297*t[52])/576 + (235*t[53])/288 + (4811*t[54])/576 + (29*t[59])/3 + 
       (11291*t[60])/288 + (33635*t[61])/288 - (8519*t[62])/576 + 
       (22631*t[63])/576 - (21205*t[64])/576 + (17149*t[65])/864 - 
       (60241*t[66])/864 - (5*t[70])/6 + (5*t[71])/6 + (5*t[72])/2 - t[73] - 
       (73*t[74])/4 + t[75] + (133*t[76])/12 - (31*t[77])/12 - 
       (145*t[78])/12 - t[79] + (41*t[80])/2 + (469*t[81])/24 - 
       (299*t[82])/72 - t[83]/3 + (185*t[84])/32 - (2101*t[85])/288 + 
       (21*t[86])/2 - (8075*t[87])/288 - (11051*t[88])/576 - 
       (2411*t[89])/576 - (7*t[95])/2 + (29*t[96])/6 + (7*t[97])/2 + 
       58*t[98] - 103*t[99] - 141*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*(6*t[1] + (199*t[2])/8 - 5*t[3] + 
       (923*t[4])/48 - (3181*t[5])/96 - (805*t[6])/24 + (407*t[7])/8 - 
       9*t[8] + (1137*t[9])/32 + (1249*t[10])/96 + (2249*t[11])/48 - 
       (2615*t[12])/48 - (851*t[13])/144 + (15361*t[14])/576 + 
       (19583*t[15])/576 - 6*t[20] + 2*t[21] + 4*t[22] - 2*t[23] - 
       (2*t[24])/3 + t[27] + 11*t[28] + t[29]/4 - 6*t[30] - 11*t[31] - 
       (11*t[32])/2 - (19*t[33])/6 - 21*t[34] - 6*t[35] + 5*t[36] - 
       (29*t[37])/2 + t[38]/2 + (15*t[39])/2 + (31*t[40])/4 + t[41]/4 - 
       t[42]/4 - (69*t[43])/16 + (7*t[44])/8 + (59*t[45])/4 + (9*t[46])/2 - 
       (29*t[47])/2 + (487*t[48])/24 - (2365*t[49])/96 + (559*t[50])/24 + 
       (1537*t[51])/192 - (823*t[52])/24 + (2173*t[53])/96 + (611*t[54])/48 + 
       t[57] + (21*t[59])/4 - (1853*t[60])/48 + (10957*t[61])/48 - 
       (13429*t[62])/96 + (1693*t[63])/96 - (3215*t[64])/96 + 
       (8075*t[65])/144 - (3971*t[66])/144 - t[69] + 2*t[70] - 2*t[71] + 
       8*t[72] + t[73] + (65*t[74])/2 - 6*t[75] - (47*t[76])/2 + 
       (13*t[77])/2 + (21*t[78])/2 - 7*t[79] + (33*t[80])/2 - (67*t[81])/4 - 
       (55*t[82])/12 - 13*t[83] + (635*t[84])/16 - (1961*t[85])/48 + 
       (45*t[86])/4 + (1025*t[87])/48 + (1889*t[88])/96 + (269*t[89])/96 - 
       5*t[95] - 7*t[96] - (7*t[97])/2 - 136*t[98] + 182*t[99] - 128*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
      ((-11*t[1])/2 + (1297*t[2])/24 - (955*t[3])/12 + (569*t[4])/24 - 
       (1475*t[5])/48 + (653*t[6])/48 + (133*t[7])/12 + (313*t[8])/6 + 
       (3911*t[9])/48 - (401*t[10])/48 + (539*t[11])/48 - (17*t[12])/4 + 
       (2627*t[13])/216 + (13393*t[14])/288 - (14867*t[15])/864 - 
       (35*t[24])/6 + 2*t[25] - (2*t[27])/3 + 2*t[28] + (13*t[29])/3 - 
       (2*t[30])/3 - 8*t[31] + (113*t[32])/6 - (79*t[33])/3 + 11*t[34] - 
       4*t[35] + 8*t[36] + (35*t[37])/6 - (4*t[38])/3 + (13*t[39])/3 + 
       (13*t[40])/6 - (7*t[41])/12 + (7*t[42])/12 - (13*t[43])/12 - 
       (29*t[44])/3 + (65*t[45])/3 + 3*t[46] - (37*t[47])/2 + 
       (113*t[48])/16 - (233*t[49])/16 - (195*t[50])/16 + (419*t[51])/96 - 
       (103*t[52])/48 + (571*t[53])/48 + (449*t[54])/16 - (55*t[59])/6 + 
       (805*t[60])/6 + (269*t[61])/6 - (625*t[62])/24 - (3679*t[63])/24 - 
       (91*t[64])/24 + (269*t[65])/72 - (9629*t[66])/72 - (2*t[70])/3 + 
       (2*t[71])/3 + (22*t[72])/3 + 12*t[73] + (11*t[74])/2 - 12*t[75] - 
       (11*t[76])/3 - (23*t[77])/6 + (233*t[78])/6 - (146*t[80])/3 + 
       (113*t[81])/4 - (221*t[82])/12 - (32*t[83])/3 + (1433*t[84])/24 + 
       (91*t[85])/12 + 5*t[86] + (587*t[87])/12 + (185*t[88])/8 + 
       (134*t[89])/3 - t[95] - (10*t[96])/3 - 4*t[97] - 88*t[98] + 
       118*t[99] - 121*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((21*t[1])/2 + (691*t[2])/24 - 
       (1501*t[3])/24 - (19*t[4])/72 - (6715*t[5])/144 + (383*t[6])/144 + 
       (227*t[7])/6 + (841*t[8])/12 + (2857*t[9])/48 + (5875*t[10])/144 - 
       (2831*t[11])/144 - (697*t[12])/36 - (311*t[13])/18 + 
       (26017*t[14])/864 + (14137*t[15])/864 + 2*t[19] - (10*t[20])/3 + 
       2*t[21] - 2*t[23] - (131*t[24])/18 - (4*t[27])/3 - (35*t[29])/6 - 
       2*t[30] - 8*t[31] + (89*t[32])/6 - (91*t[33])/9 - (49*t[34])/3 + 
       2*t[35] - 4*t[36] - (95*t[37])/6 + (10*t[38])/3 + (2*t[39])/3 + 
       (53*t[40])/6 + (19*t[41])/12 - (7*t[42])/12 - (11*t[43])/12 + 
       (7*t[44])/4 + 28*t[45] - t[46] - (53*t[47])/2 + (1549*t[48])/144 - 
       (1999*t[49])/144 + (1273*t[50])/144 + (2959*t[51])/288 - 
       (3145*t[52])/144 + (2383*t[53])/144 + (5581*t[54])/144 - t[59]/3 + 
       (1643*t[60])/36 + (1226*t[61])/9 - (6629*t[62])/72 - (9391*t[63])/72 - 
       (3337*t[64])/72 - (2959*t[65])/216 - (9341*t[66])/216 + 2*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 + 12*t[72] + 4*t[73] + (13*t[74])/2 - 
       8*t[75] - (35*t[76])/3 + (67*t[77])/6 + (25*t[78])/6 + 28*t[79] + 
       16*t[80] - (43*t[81])/12 - (77*t[82])/36 + (17*t[83])/3 + 
       (253*t[84])/8 - (1147*t[85])/36 + 11*t[86] + (1693*t[87])/36 + 
       (3301*t[88])/72 + (1213*t[89])/72 - 7*t[95] - (2*t[96])/3 + 3*t[97] - 
       80*t[98] + 126*t[99] - 114*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (-t[1] - (129*t[2])/4 + (17*t[3])/32 + (293*t[4])/24 + (67*t[5])/48 + 
       (37*t[6])/2 - (17*t[7])/16 + (791*t[8])/48 - (577*t[9])/12 - 
       (2479*t[10])/48 + (781*t[11])/24 + (83*t[12])/16 + (1623*t[13])/32 - 
       (7919*t[14])/288 - (69505*t[15])/1728 - (43*t[24])/3 + (43*t[28])/6 + 
       (11*t[29])/24 + (197*t[30])/24 - 2*t[31] + (35*t[32])/3 + 
       (67*t[33])/24 - (47*t[34])/12 - 4*t[35] + 9*t[37] + t[38] - 3*t[39] + 
       5*t[40] + (7*t[41])/2 - (7*t[42])/2 + (9*t[43])/2 + (65*t[44])/6 + 
       7*t[45] + 2*t[47] + (347*t[48])/48 - (331*t[49])/48 + (121*t[50])/48 + 
       (379*t[51])/96 - (313*t[52])/48 + (139*t[53])/48 - (53*t[54])/24 + 
       (175*t[59])/24 + (445*t[60])/8 + (175*t[61])/3 + (2021*t[62])/24 + 
       34*t[63] - (4637*t[64])/48 + (3955*t[65])/48 - (14569*t[66])/144 - 
       2*t[72] + t[73]/2 - (167*t[74])/6 + (29*t[75])/2 - 15*t[76] - 
       11*t[77] + 5*t[78] + (11*t[79])/2 - 10*t[80] + (143*t[81])/12 + 
       (53*t[82])/12 - (89*t[83])/3 + (1273*t[84])/48 + (105*t[85])/16 - 
       (71*t[86])/6 + (811*t[87])/48 + (791*t[88])/96 + (371*t[89])/16 - 
       (13*t[95])/3 - 6*t[96] - 5*t[97] - 96*t[98] - 12*t[99] - 112*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (-4*t[1] + (31*t[2])/2 - (121*t[3])/8 - (359*t[4])/12 + (259*t[5])/4 - 
       (329*t[6])/24 - (17*t[7])/3 - (1433*t[8])/12 - (127*t[9])/12 - 
       (45*t[10])/8 + (1279*t[11])/24 + (995*t[12])/24 + (451*t[13])/18 + 
       (821*t[14])/48 + (4279*t[15])/432 + t[20] - (7*t[24])/3 + 
       (52*t[28])/3 - (107*t[29])/12 - (55*t[30])/6 + 12*t[31] - 
       (29*t[32])/6 + (49*t[33])/6 + (91*t[34])/3 + 24*t[35] - 7*t[36] - 
       2*t[37] - 8*t[38] - 18*t[40] + t[41]/2 - t[42]/2 + t[43]/2 + 
       (57*t[44])/4 - 28*t[45] + (3*t[46])/2 + 20*t[47] - (391*t[48])/24 + 
       (451*t[49])/24 + (67*t[50])/24 - (613*t[51])/48 + (509*t[52])/24 - 
       (451*t[53])/24 - (1039*t[54])/24 + t[59]/6 + (43*t[60])/3 - 
       (229*t[61])/6 - (851*t[62])/24 + (1007*t[63])/24 + (110*t[64])/3 - 
       (2623*t[65])/36 - (5387*t[66])/36 + t[69] + 12*t[72] + 13*t[73] - 
       (28*t[74])/3 + 7*t[75] + 40*t[76] + 2*t[77] - 15*t[78] - 15*t[79] + 
       30*t[80] + (85*t[81])/6 - (47*t[82])/6 - (4*t[83])/3 - 
       (383*t[84])/12 + 3*t[85] + (79*t[86])/3 - (195*t[87])/4 - 
       (677*t[88])/24 - (449*t[89])/4 + (32*t[95])/3 + 4*t[97] + 192*t[98] - 
       198*t[99] - 101*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-19*t[2] - 10*t[3] + (41*t[4])/3 + 
       (65*t[5])/6 - (2*t[6])/3 + 26*t[7] - 56*t[8] + (51*t[9])/2 - 
       (161*t[10])/6 + (134*t[11])/3 + (34*t[12])/3 + (247*t[13])/9 + 
       (283*t[14])/36 - (43*t[15])/36 + (16*t[24])/3 + 4*t[32] + 
       (52*t[33])/3 + 4*t[37] + 2*t[41] - 2*t[42] + 2*t[43] + 4*t[44] + 
       4*t[47] - (16*t[48])/3 - (7*t[49])/6 + (44*t[50])/3 + (43*t[51])/12 - 
       (44*t[52])/3 + (7*t[53])/6 - (85*t[54])/3 + 4*t[59] + (85*t[60])/3 + 
       (163*t[61])/3 + (35*t[62])/6 + (133*t[63])/6 - (107*t[64])/6 + 
       (176*t[65])/9 - (776*t[66])/9 - 20*t[74] - 4*t[77] - 4*t[78] + 
       10*t[81] - (82*t[82])/3 + 4*t[84] + (13*t[85])/3 + 8*t[86] - 
       (25*t[87])/3 - (25*t[88])/6 - (25*t[89])/6 - 8*t[95] - 48*t[99] - 
       96*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-21*t[2] - 8*t[3] + 11*t[4] + (7*t[5])/2 + 
       22*t[7] - 38*t[8] + (23*t[9])/2 - (51*t[10])/2 + 40*t[11] + 10*t[12] + 
       27*t[13] + (27*t[14])/4 - (173*t[15])/12 - 8*t[24] + 4*t[32] + 
       4*t[33] + 4*t[37] + 2*t[41] - 2*t[42] + 2*t[43] + 4*t[44] + 4*t[47] - 
       4*t[48] - t[49]/2 + 12*t[50] + (9*t[51])/4 - 12*t[52] + t[53]/2 - 
       23*t[54] + 4*t[59] + 31*t[60] + 53*t[61] + (9*t[62])/2 + 
       (47*t[63])/2 - (37*t[64])/2 + (64*t[65])/3 - 88*t[66] - 20*t[74] - 
       4*t[77] - 4*t[78] + 10*t[81] - 10*t[82] + 4*t[84] + 7*t[85] + 
       8*t[86] - 11*t[87] - (11*t[88])/2 - (7*t[89])/2 - 8*t[95] - 48*t[99] - 
       96*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*Omega2[v, w, u]*
      ((-49*t[2])/2 + (5*t[3])/2 + (97*t[4])/6 + (37*t[5])/12 + (59*t[6])/6 + 
       14*t[7] + 40*t[8] - (51*t[9])/4 - (277*t[10])/12 + (229*t[11])/6 - 
       (19*t[12])/6 + (74*t[13])/3 + (485*t[14])/72 - (1031*t[15])/72 - 
       (2*t[24])/3 - 2*t[28] + 4*t[32] + (10*t[33])/3 + 2*t[36] + 6*t[37] + 
       2*t[41] - 2*t[42] + t[43] + 2*t[44] - t[46] + 4*t[47] + (23*t[48])/3 + 
       (13*t[49])/12 - (7*t[50])/3 - (31*t[51])/24 + (7*t[52])/3 - 
       (13*t[53])/12 - (41*t[54])/6 + 4*t[59] + (269*t[60])/6 + 
       (359*t[61])/6 + (271*t[62])/12 + (209*t[63])/12 - (409*t[64])/12 + 
       (547*t[65])/18 - (1093*t[66])/18 - 10*t[74] - 4*t[77] - 4*t[78] + 
       4*t[79] - 8*t[80] + 2*t[81] + (8*t[82])/3 - 7*t[83] + (19*t[84])/2 + 
       (23*t[85])/6 - 4*t[86] - (101*t[87])/6 - (101*t[88])/12 + 
       (109*t[89])/12 - 4*t[95] - 48*t[99] - 84*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*((-75*t[2])/4 - 3*t[3] + 
       (55*t[4])/12 + (127*t[5])/24 + (2*t[6])/3 + (21*t[7])/2 - (3*t[8])/2 - 
       (103*t[9])/8 - (415*t[10])/24 + (70*t[11])/3 + (31*t[12])/6 + 
       (701*t[13])/36 + (437*t[14])/144 - (1313*t[15])/144 - t[24]/3 + 
       3*t[32] + (26*t[33])/3 + 3*t[37] + (3*t[41])/2 - (3*t[42])/2 + 
       (3*t[43])/2 + 3*t[44] + 3*t[47] - (2*t[48])/3 + (19*t[49])/24 + 
       (16*t[50])/3 - (19*t[51])/48 - (16*t[52])/3 - (19*t[53])/24 - 
       (119*t[54])/12 + 3*t[59] + (215*t[60])/12 + (485*t[61])/12 + 
       (145*t[62])/24 + (359*t[63])/24 - (325*t[64])/24 + (136*t[65])/9 - 
       (538*t[66])/9 - 15*t[74] - 3*t[77] - 3*t[78] + (15*t[81])/2 - 
       (43*t[82])/6 + 3*t[84] - t[85]/12 + 6*t[86] - (35*t[87])/12 - 
       (35*t[88])/24 - (71*t[89])/24 - 6*t[95] - 36*t[99] - 72*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      (-t[1] + (43*t[2])/8 - (70*t[3])/3 + (1679*t[4])/72 + (431*t[5])/144 + 
       (26*t[6])/9 + (83*t[7])/12 - (31*t[8])/12 + (227*t[9])/16 - 
       (503*t[10])/144 + (455*t[11])/18 - (169*t[12])/36 + (937*t[13])/216 + 
       (17077*t[14])/864 + (3383*t[15])/864 + (19*t[24])/18 + 2*t[25] - 
       2*t[26] + 4*t[29] + 4*t[30] - 4*t[31] + (31*t[32])/6 + (5*t[33])/9 + 
       (31*t[37])/6 + t[38] - 4*t[39] + 7*t[40] + (7*t[41])/12 - 
       (7*t[42])/12 - (5*t[43])/12 - (29*t[44])/6 + 7*t[45] - 2*t[46] - 
       (35*t[47])/6 + (179*t[48])/18 + (635*t[49])/144 + (83*t[50])/18 + 
       (541*t[51])/288 - (191*t[52])/18 - (635*t[53])/144 - (283*t[54])/72 - 
       (4*t[59])/3 + (1819*t[60])/72 + (3961*t[61])/72 - (2275*t[62])/144 - 
       (293*t[63])/144 - (1169*t[64])/144 + (76*t[65])/27 - (1099*t[66])/27 + 
       4*t[72] - (35*t[74])/6 - 8*t[76] - (7*t[77])/6 + (95*t[78])/6 - 
       18*t[80] + (47*t[81])/12 - (551*t[82])/36 + (67*t[84])/6 - 
       (557*t[85])/72 + (19*t[86])/3 + (905*t[87])/72 + (905*t[88])/144 + 
       (173*t[89])/144 - (7*t[95])/3 - t[97] - 48*t[98] + 34*t[99] - 
       64*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-7*t[1])/2 - (2473*t[2])/48 - (217*t[3])/8 + (1355*t[4])/48 - 
       (2909*t[5])/48 + (1327*t[6])/48 + (35*t[7])/8 + (2071*t[8])/16 - 
       (221*t[9])/8 - (5753*t[10])/96 + (1567*t[11])/24 - (1363*t[12])/96 + 
       (2719*t[13])/144 + (15979*t[14])/576 + (159*t[15])/32 + t[20] - 
       t[23] - (8*t[24])/3 - 4*t[27] + 10*t[28] + (55*t[29])/4 + 
       (95*t[30])/8 - 2*t[31] + (57*t[32])/8 + (113*t[33])/24 - 5*t[34] - 
       (9*t[35])/2 - 10*t[36] + 5*t[37] - 2*t[38] - 4*t[39] - t[40] + 
       3*t[41] - 3*t[42] + (3*t[43])/2 + 7*t[44] - 2*t[45] + t[46] + 
       5*t[47] + (895*t[48])/24 + (119*t[49])/96 + (689*t[50])/48 - 
       (623*t[51])/192 - (353*t[52])/48 - (887*t[53])/96 + (19*t[54])/24 + 
       (203*t[59])/24 + (3313*t[60])/48 + (2969*t[61])/24 - (247*t[62])/96 + 
       (9775*t[63])/96 - (887*t[64])/24 + (16685*t[65])/144 - 
       (4949*t[66])/144 + 2*t[70] - 2*t[71] + 2*t[72] + (43*t[73])/4 - 
       (43*t[74])/4 - (73*t[75])/4 - 12*t[76] - t[77] + 22*t[78] - 
       (23*t[79])/4 - 2*t[80] + (113*t[81])/8 - (299*t[82])/24 - 21*t[83] + 
       (535*t[84])/16 + (293*t[85])/24 + (205*t[86])/4 - (763*t[87])/48 + 
       (149*t[88])/96 + (1733*t[89])/96 - 6*t[95] - 14*t[96] - 7*t[97] - 
       64*t[98] + 12*t[99] - (125*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*((5*t[1])/2 + (73*t[2])/4 + 
       (471*t[3])/16 - (409*t[4])/12 + (8981*t[5])/96 - (737*t[6])/48 - 
       (151*t[7])/4 - (1321*t[8])/16 - (4161*t[9])/32 - (589*t[10])/48 - 
       (451*t[11])/12 - (1153*t[12])/96 + (955*t[13])/144 - 
       (23569*t[14])/288 - (4939*t[15])/192 - 4*t[19] + 2*t[20] + 4*t[21] - 
       4*t[23] - (2*t[24])/3 - (3*t[28])/4 - (103*t[29])/16 + (9*t[30])/4 + 
       (21*t[32])/2 + (13*t[33])/3 - 13*t[34] + 4*t[35] + 10*t[36] + 
       5*t[37] + 4*t[38] - 6*t[39] + 7*t[40] + 2*t[41] - 2*t[42] + 3*t[43] + 
       (207*t[44])/16 + (35*t[45])/2 - 2*t[46] - 12*t[47] + (307*t[48])/24 - 
       (253*t[49])/24 - (247*t[50])/48 + (445*t[51])/48 - (185*t[52])/48 + 
       (253*t[53])/24 - (1081*t[54])/48 + 4*t[57] + t[59]/2 - (205*t[60])/6 - 
       (1207*t[61])/24 + (1637*t[62])/96 - (4541*t[63])/96 + 
       (1349*t[64])/48 + (2291*t[65])/144 - (4847*t[66])/144 + 2*t[69] + 
       2*t[70] - 2*t[71] + 2*t[72] + (51*t[73])/4 - 17*t[74] - 
       (113*t[75])/4 - 8*t[76] - 5*t[77] - (3*t[79])/4 - 2*t[80] - t[81]/2 - 
       (47*t[82])/6 - (121*t[83])/4 - (183*t[84])/16 - (1097*t[85])/48 - 
       (31*t[86])/4 + (707*t[87])/12 + (935*t[88])/24 + (131*t[89])/24 - 
       6*t[95] - 2*t[96] - t[97] - 64*t[98] + 12*t[99] - (125*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (-11*t[2] + (977*t[3])/32 + (167*t[4])/24 + (1973*t[5])/48 - 
       (91*t[6])/3 - (265*t[7])/16 - (1035*t[8])/16 - (583*t[9])/8 - 
       (569*t[10])/48 + (1073*t[11])/24 + (137*t[12])/48 + (6367*t[13])/288 - 
       (12305*t[14])/288 - (1357*t[15])/192 - 2*t[20] - (4*t[24])/3 - 
       (7*t[28])/2 - (39*t[29])/8 + (79*t[30])/8 + t[32] + (91*t[33])/24 - 
       (37*t[34])/4 - 4*t[35] + 2*t[37] + t[41] - t[42] + t[43] + 24*t[44] + 
       2*t[47] - (53*t[48])/48 + (119*t[49])/48 + (361*t[50])/48 - 
       (119*t[51])/96 - (361*t[52])/48 - (119*t[53])/48 - (991*t[54])/24 + 
       t[59]/8 - (1655*t[60])/24 + (269*t[61])/12 + (95*t[62])/12 + 
       (1943*t[63])/24 + (2569*t[64])/48 + (3505*t[65])/144 - 
       (4753*t[66])/144 - 2*t[69] - (7*t[73])/2 - (31*t[74])/2 + 
       (21*t[75])/2 - 2*t[77] - 2*t[78] + (7*t[79])/2 + (31*t[81])/4 - 
       (77*t[82])/12 - 5*t[83] - (453*t[84])/16 - (1249*t[85])/48 - 
       (5*t[86])/2 + (1591*t[87])/48 + (1795*t[88])/96 - (1561*t[89])/48 + 
       7*t[95] - 24*t[99] - 54*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-15*t[1])/4 + (757*t[2])/48 - (457*t[3])/48 + (1391*t[4])/144 + 
       (113*t[5])/288 - (707*t[6])/576 - (31*t[7])/8 + (209*t[8])/48 + 
       (215*t[9])/6 + (3493*t[10])/288 + (13019*t[11])/576 + 
       (1103*t[12])/72 + (45*t[13])/16 + (19315*t[14])/432 - 
       (2969*t[15])/288 - (85*t[24])/18 + 2*t[25] - (10*t[27])/3 - t[28]/2 - 
       (25*t[29])/12 - (19*t[30])/3 - 2*t[31] - (3*t[32])/4 - 
       (359*t[33])/36 + 10*t[34] + t[35] - t[36] + (7*t[37])/4 - 
       (11*t[38])/3 + (43*t[39])/6 - (181*t[40])/24 + t[41]/8 - t[42]/8 - 
       t[43]/8 - (73*t[44])/8 - (47*t[45])/12 - t[46]/4 + (17*t[47])/6 - 
       (4189*t[48])/576 + (1907*t[49])/288 - (11017*t[50])/576 - 
       (2111*t[51])/576 + (12361*t[52])/576 - (1139*t[53])/288 + 
       (1193*t[54])/576 - (5*t[59])/4 + (15221*t[60])/288 + 
       (7703*t[61])/288 - (22331*t[62])/576 - (19117*t[63])/576 - 
       (1897*t[64])/576 - (51551*t[65])/864 - (87289*t[66])/864 - 
       (5*t[70])/6 + (5*t[71])/6 + (37*t[72])/6 - t[73] + (55*t[74])/12 + 
       t[75] + (167*t[76])/12 - (7*t[77])/4 - (155*t[78])/12 - (41*t[80])/6 + 
       (275*t[81])/24 - (209*t[82])/72 - t[83]/3 + (105*t[84])/32 - 
       (505*t[85])/288 - (71*t[86])/6 - (9959*t[87])/288 - 
       (11783*t[88])/576 - (9329*t[89])/576 + (23*t[95])/6 + (29*t[96])/6 + 
       (7*t[97])/2 + 58*t[98] - 59*t[99] - 53*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((7*t[2])/2 - 16*t[3] - (31*t[4])/2 + (9*t[5])/4 - 9*t[6] + 8*t[7] - 
       84*t[8] + (5*t[9])/4 - (29*t[10])/4 + 2*t[11] + 27*t[12] + 
       (119*t[13])/9 - (3*t[14])/8 + (11*t[15])/8 - 2*t[24] + 4*t[28] + 
       2*t[32] + 12*t[33] - 4*t[36] - 2*t[37] + t[41] - t[42] + 3*t[43] + 
       6*t[44] + 2*t[46] + 2*t[47] - 17*t[48] - (11*t[49])/4 + 17*t[50] + 
       (31*t[51])/8 - 17*t[52] + (11*t[53])/4 - (23*t[54])/2 + 2*t[59] - 
       (47*t[60])/2 + (27*t[61])/2 - (73*t[62])/4 + (81*t[63])/4 - 
       (47*t[64])/4 - (31*t[65])/3 - (167*t[66])/3 - 18*t[74] - 2*t[77] - 
       2*t[78] - 4*t[79] + 16*t[80] + 13*t[81] - 23*t[82] + 8*t[83] - 
       7*t[84] - (11*t[85])/2 + 16*t[86] + (43*t[87])/2 + (43*t[88])/4 - 
       (85*t[89])/4 - 4*t[95] - 24*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 0, 0, 1}, 1 - w]*(8*t[1] - (25*t[2])/2 + 14*t[3] - 
       (179*t[4])/6 + (37*t[5])/12 - (44*t[6])/3 - 13*t[7] - 45*t[8] - 
       (165*t[9])/4 - (709*t[10])/12 + (44*t[11])/3 + (7*t[12])/3 - 
       (133*t[13])/18 - (1705*t[14])/72 - (1355*t[15])/72 - (14*t[24])/3 + 
       2*t[32] + (4*t[33])/3 + 2*t[37] + 16*t[38] + 14*t[40] + t[41] - 
       t[42] + t[43] + 2*t[44] + 2*t[47] - (4*t[48])/3 + t[49]/12 + 
       (8*t[50])/3 - t[51]/24 - (8*t[52])/3 - (385*t[53])/12 - (29*t[54])/6 + 
       2*t[59] - (115*t[60])/6 - (25*t[61])/6 + (811*t[62])/12 + 
       (893*t[63])/12 + (473*t[64])/12 - (292*t[65])/9 - (68*t[66])/9 - 
       10*t[74] - 18*t[77] - 2*t[78] + 5*t[81] - t[82]/3 - 14*t[84] + 
       (5*t[85])/6 + 4*t[86] + (175*t[87])/6 + (175*t[88])/12 - 
       (221*t[89])/12 - 4*t[95] - 24*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*Omega2[w, u, v]*((23*t[2])/2 + (7*t[3])/2 - 
       (29*t[4])/2 + (83*t[5])/4 - (3*t[6])/2 + 14*t[7] - 22*t[8] - 
       (7*t[9])/4 - (59*t[10])/4 - (15*t[11])/2 + (15*t[12])/2 + 
       (31*t[13])/3 - (53*t[14])/24 - (87*t[15])/8 - 2*t[24] - 2*t[28] + 
       4*t[32] + 2*t[33] + 10*t[36] + 2*t[37] + t[43] + 2*t[44] - t[46] + 
       4*t[47] - 3*t[48] - (29*t[49])/4 + 7*t[50] + (31*t[51])/8 - 7*t[52] + 
       (29*t[53])/4 - (7*t[54])/2 - (21*t[60])/2 + (13*t[61])/2 + 
       (93*t[62])/4 + (51*t[63])/4 - (7*t[64])/4 + (59*t[65])/6 - 
       (169*t[66])/6 - 10*t[74] - 4*t[77] + 4*t[81] - 2*t[82] - 5*t[83] + 
       t[84]/2 - (15*t[85])/2 - 16*t[86] + (17*t[87])/2 + (17*t[88])/4 - 
       (21*t[89])/4 - 4*t[95] - 24*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 0, 0, 1}, 1 - u]*(-8*t[1] - (81*t[2])/2 + 14*t[3] + 
       (13*t[4])/6 + (229*t[5])/12 + (34*t[6])/3 - 21*t[7] - 37*t[8] - 
       (157*t[9])/4 - (901*t[10])/12 + (152*t[11])/3 + (7*t[12])/3 + 
       (791*t[13])/18 - (1225*t[14])/72 - (1019*t[15])/72 + 16*t[23] - 
       (14*t[24])/3 + 2*t[32] + (4*t[33])/3 + 2*t[37] + 14*t[38] + 9*t[41] - 
       9*t[42] + t[43] + 2*t[44] + 2*t[47] - (52*t[48])/3 + t[49]/12 - 
       (40*t[50])/3 - t[51]/24 + (40*t[52])/3 - t[53]/12 + (43*t[54])/6 + 
       16*t[59] + (77*t[60])/6 + (263*t[61])/6 - (5*t[62])/12 + 
       (173*t[63])/12 + (617*t[64])/12 + (56*t[65])/9 - (380*t[66])/9 - 
       10*t[74] - 2*t[77] - 2*t[78] + 5*t[81] - t[82]/3 + 2*t[84] + 
       (5*t[85])/6 + 4*t[86] - (17*t[87])/6 - (17*t[88])/12 - (29*t[89])/12 - 
       4*t[95] - 24*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*((-25*t[2])/2 - 2*t[3] + 
       (13*t[4])/6 - (11*t[5])/12 + (4*t[6])/3 + 7*t[7] - t[8] - 
       (29*t[9])/4 - (133*t[10])/12 + (44*t[11])/3 + (13*t[12])/3 + 
       (239*t[13])/18 + (215*t[14])/72 - (731*t[15])/72 - (14*t[24])/3 + 
       2*t[32] + (4*t[33])/3 + 2*t[37] + t[41] - t[42] + t[43] + 2*t[44] + 
       2*t[47] - (4*t[48])/3 + t[49]/12 + (8*t[50])/3 - t[51]/24 - 
       (8*t[52])/3 - t[53]/12 - (29*t[54])/6 + 2*t[59] + (77*t[60])/6 + 
       (167*t[61])/6 + (43*t[62])/12 + (125*t[63])/12 - (103*t[64])/12 + 
       (80*t[65])/9 - (380*t[66])/9 - 10*t[74] - 2*t[77] - 2*t[78] + 
       5*t[81] - t[82]/3 + 2*t[84] + (5*t[85])/6 + 4*t[86] - (17*t[87])/6 - 
       (17*t[88])/12 - (29*t[89])/12 - 4*t[95] - 24*t[99] - 48*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-25*t[2])/2 - 2*t[3] + (13*t[4])/6 - (11*t[5])/12 + (4*t[6])/3 + 
       7*t[7] - t[8] - (29*t[9])/4 - (133*t[10])/12 + (44*t[11])/3 + 
       (13*t[12])/3 + (239*t[13])/18 + (215*t[14])/72 - (731*t[15])/72 - 
       (14*t[24])/3 + 2*t[32] + (4*t[33])/3 + 2*t[37] + t[41] - t[42] + 
       t[43] + 2*t[44] + 2*t[47] - (4*t[48])/3 + t[49]/12 + (8*t[50])/3 - 
       t[51]/24 - (8*t[52])/3 - t[53]/12 - (29*t[54])/6 + 2*t[59] + 
       (77*t[60])/6 + (167*t[61])/6 + (43*t[62])/12 + (125*t[63])/12 - 
       (103*t[64])/12 + (80*t[65])/9 - (380*t[66])/9 - 10*t[74] - 2*t[77] - 
       2*t[78] + 5*t[81] - t[82]/3 + 2*t[84] + (5*t[85])/6 + 4*t[86] - 
       (17*t[87])/6 - (17*t[88])/12 - (29*t[89])/12 - 4*t[95] - 24*t[99] - 
       48*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-25*t[2])/2 - 2*t[3] + (13*t[4])/6 - (11*t[5])/12 + (4*t[6])/3 + 
       7*t[7] - t[8] - (29*t[9])/4 - (133*t[10])/12 + (44*t[11])/3 + 
       (13*t[12])/3 + (239*t[13])/18 + (215*t[14])/72 - (731*t[15])/72 - 
       (14*t[24])/3 + 2*t[32] + (4*t[33])/3 + 2*t[37] + t[41] - t[42] + 
       t[43] + 2*t[44] + 2*t[47] - (4*t[48])/3 + t[49]/12 + (8*t[50])/3 - 
       t[51]/24 - (8*t[52])/3 - t[53]/12 - (29*t[54])/6 + 2*t[59] + 
       (77*t[60])/6 + (167*t[61])/6 + (43*t[62])/12 + (125*t[63])/12 - 
       (103*t[64])/12 + (80*t[65])/9 - (380*t[66])/9 - 10*t[74] - 2*t[77] - 
       2*t[78] + 5*t[81] - t[82]/3 + 2*t[84] + (5*t[85])/6 + 4*t[86] - 
       (17*t[87])/6 - (17*t[88])/12 - (29*t[89])/12 - 4*t[95] - 24*t[99] - 
       48*t[100])*\[Zeta][2] + HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-25*t[2])/2 - 2*t[3] + (13*t[4])/6 - (11*t[5])/12 + (4*t[6])/3 + 
       7*t[7] - t[8] - (29*t[9])/4 - (133*t[10])/12 + (44*t[11])/3 + 
       (13*t[12])/3 + (239*t[13])/18 + (215*t[14])/72 - (731*t[15])/72 - 
       (14*t[24])/3 + 2*t[32] + (4*t[33])/3 + 2*t[37] + t[41] - t[42] + 
       t[43] + 2*t[44] + 2*t[47] - (4*t[48])/3 + t[49]/12 + (8*t[50])/3 - 
       t[51]/24 - (8*t[52])/3 - t[53]/12 - (29*t[54])/6 + 2*t[59] + 
       (77*t[60])/6 + (167*t[61])/6 + (43*t[62])/12 + (125*t[63])/12 - 
       (103*t[64])/12 + (80*t[65])/9 - (380*t[66])/9 - 10*t[74] - 2*t[77] - 
       2*t[78] + 5*t[81] - t[82]/3 + 2*t[84] + (5*t[85])/6 + 4*t[86] - 
       (17*t[87])/6 - (17*t[88])/12 - (29*t[89])/12 - 4*t[95] - 24*t[99] - 
       48*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*Omega2[u, v, w]*
      ((-25*t[2])/2 - 2*t[3] + (17*t[4])/6 + (29*t[5])/12 + (2*t[6])/3 + 
       7*t[7] - t[8] - (33*t[9])/4 - (137*t[10])/12 + (46*t[11])/3 + 
       (11*t[12])/3 + (235*t[13])/18 + (163*t[14])/72 - (511*t[15])/72 - 
       (4*t[24])/3 + 2*t[32] + (14*t[33])/3 + 2*t[37] + t[41] - t[42] + 
       t[43] + 2*t[44] + 2*t[47] - (2*t[48])/3 + (5*t[49])/12 + 
       (10*t[50])/3 - (5*t[51])/24 - (10*t[52])/3 - (5*t[53])/12 - 
       (37*t[54])/6 + 2*t[59] + (73*t[60])/6 + (163*t[61])/6 + 
       (47*t[62])/12 + (121*t[63])/12 - (107*t[64])/12 + (88*t[65])/9 - 
       (364*t[66])/9 - 10*t[74] - 2*t[77] - 2*t[78] + 5*t[81] - 
       (11*t[82])/3 + 2*t[84] + t[85]/6 + 4*t[86] - (13*t[87])/6 - 
       (13*t[88])/12 - (25*t[89])/12 - 4*t[95] - 24*t[99] - 48*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-25*t[2])/2 - 2*t[3] + (7*t[4])/2 + (23*t[5])/4 + 7*t[7] - t[8] - 
       (37*t[9])/4 - (47*t[10])/4 + 16*t[11] + 3*t[12] + (77*t[13])/6 + 
       (37*t[14])/24 - (97*t[15])/24 + 2*t[24] + 2*t[32] + 8*t[33] + 
       2*t[37] + t[41] - t[42] + t[43] + 2*t[44] + 2*t[47] + (3*t[49])/4 + 
       4*t[50] - (3*t[51])/8 - 4*t[52] - (3*t[53])/4 - (15*t[54])/2 + 
       2*t[59] + (23*t[60])/2 + (53*t[61])/2 + (17*t[62])/4 + (39*t[63])/4 - 
       (37*t[64])/4 + (32*t[65])/3 - (116*t[66])/3 - 10*t[74] - 2*t[77] - 
       2*t[78] + 5*t[81] - 7*t[82] + 2*t[84] - t[85]/2 + 4*t[86] - 
       (3*t[87])/2 - (3*t[88])/4 - (7*t[89])/4 - 4*t[95] - 24*t[99] - 
       48*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-37*t[2])/2 + 4*t[3] - t[4]/2 + (47*t[5])/4 - 
       2*t[6] - 5*t[7] + 53*t[8] - (229*t[9])/4 - (39*t[10])/4 + 6*t[11] - 
       5*t[12] + (61*t[13])/6 - (49*t[14])/8 - (289*t[15])/24 - 2*t[24] + 
       2*t[32] + 4*t[33] + 2*t[37] + t[41] - t[42] + t[43] + 2*t[44] + 
       2*t[47] + 8*t[48] + (19*t[49])/4 - (43*t[51])/8 - (19*t[53])/4 + 
       t[54]/2 + 2*t[59] + (7*t[60])/2 + (45*t[61])/2 + (33*t[62])/4 + 
       (23*t[63])/4 - (45*t[64])/4 + 16*t[65] - (68*t[66])/3 - 10*t[74] - 
       2*t[77] - 2*t[78] + 5*t[81] + 9*t[82] + 2*t[84] - (17*t[85])/2 + 
       4*t[86] + (13*t[87])/2 + (13*t[88])/4 + t[89]/4 - 4*t[95] - 24*t[99] - 
       48*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-53*t[2])/2 + 10*t[3] + (45*t[4])/2 + (13*t[5])/4 + 11*t[6] + 
       10*t[7] + 64*t[8] - (7*t[9])/4 - (65*t[10])/4 + 32*t[11] - 17*t[12] + 
       (124*t[13])/9 + (179*t[14])/24 - (203*t[15])/24 + 6*t[24] - 4*t[28] + 
       2*t[32] + 4*t[33] + 4*t[36] + 6*t[37] + t[41] - t[42] - t[43] - 
       2*t[44] - 2*t[46] + 2*t[47] + 13*t[48] + (9*t[49])/4 - 9*t[50] - 
       (21*t[51])/8 + 9*t[52] - (9*t[53])/4 - (7*t[54])/2 + 2*t[59] + 
       (101*t[60])/2 + (79*t[61])/2 + (99*t[62])/4 + (5*t[63])/4 - 
       (27*t[64])/4 + (95*t[65])/3 - 27*t[66] - 2*t[74] - 2*t[77] - 2*t[78] + 
       4*t[79] - 16*t[80] - 3*t[81] + 5*t[82] - 8*t[83] + 11*t[84] + 
       (17*t[85])/2 - 8*t[86] - (57*t[87])/2 - (57*t[88])/4 + (71*t[89])/4 - 
       4*t[95] - 24*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*((7*t[3])/4 - t[4]/2 - 
       (425*t[5])/24 - (223*t[6])/12 + (283*t[7])/12 - (190*t[8])/3 + 
       (111*t[9])/8 - (43*t[10])/6 + (41*t[11])/2 + (353*t[12])/24 + 
       t[13]/4 - (1975*t[14])/72 - (2419*t[15])/432 + (17*t[28])/3 + 
       (27*t[29])/4 - 5*t[30] + 2*t[35] - (13*t[43])/4 + (323*t[44])/12 - 
       (13*t[45])/2 + 13*t[47] - (47*t[48])/6 - (9*t[49])/2 + 
       (151*t[50])/12 + (9*t[51])/4 - (151*t[52])/12 + (9*t[53])/2 - 
       (163*t[54])/12 - (32*t[60])/3 + (49*t[61])/2 - (1309*t[62])/24 - 
       (19*t[63])/24 + (505*t[64])/12 + (47*t[65])/36 - (1399*t[66])/36 + 
       33*t[73] - 45*t[75] + t[79] - t[81] + t[82] - (29*t[83])/3 + 
       (9*t[84])/4 - (5*t[85])/4 + (83*t[86])/3 + (41*t[87])/3 + 
       (41*t[88])/6 - (53*t[89])/2 - 4*t[99] - 44*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*((-31*t[2])/4 - (38*t[3])/3 + 
       (67*t[4])/12 + 2*t[5] + (31*t[6])/12 - (67*t[7])/2 - (31*t[8])/4 + 
       (269*t[9])/12 + (743*t[10])/24 - (25*t[11])/3 - (173*t[12])/24 + 
       (4*t[13])/9 - (887*t[14])/144 - (1327*t[15])/108 - (2*t[20])/3 + 
       4*t[22] + (38*t[28])/3 + (29*t[29])/3 - (11*t[30])/2 - (59*t[32])/6 + 
       (7*t[33])/6 + (10*t[34])/3 - 20*t[35] + 2*t[37] + t[41] - t[42] - 
       t[43] - 7*t[44] + 2*t[47] + (101*t[48])/6 - t[49]/24 - 
       (121*t[50])/12 - (77*t[51])/48 + (121*t[52])/12 + t[53]/24 + 
       (41*t[54])/3 - (7*t[59])/6 - (9*t[60])/4 - (65*t[61])/6 - 
       (231*t[62])/8 - (1099*t[63])/24 + (338*t[64])/3 + (67*t[65])/12 - 
       (563*t[66])/12 - 8*t[69] + 2*t[70] - 2*t[71] + 33*t[73] + 17*t[74] - 
       37*t[75] + 2*t[77] + 2*t[78] + 17*t[79] - 4*t[80] + (3*t[81])/2 - 
       (3*t[82])/2 - (68*t[83])/3 + (49*t[84])/12 + (2*t[85])/3 - t[86]/3 - 
       (29*t[87])/4 - (29*t[88])/8 + (59*t[89])/8 - 4*t[99] - 44*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-189*t[2])/16 + (103*t[3])/12 - (1465*t[4])/144 + (7295*t[5])/288 - 
       (241*t[6])/72 - (235*t[7])/24 + (371*t[8])/24 - (1461*t[9])/32 - 
       (3695*t[10])/288 - (203*t[11])/72 - (19*t[12])/72 + (3865*t[13])/432 - 
       (21539*t[14])/1728 - (9649*t[15])/1728 + (103*t[24])/36 + t[29] - 
       t[30] + t[31] + (19*t[32])/12 + (137*t[33])/18 - 2*t[35] + 2*t[36] + 
       (19*t[37])/12 - (3*t[40])/2 + (19*t[41])/24 - (19*t[42])/24 + 
       (19*t[43])/24 + (25*t[44])/12 - t[46] + (19*t[47])/12 + 
       (343*t[48])/72 - (421*t[49])/288 - (317*t[50])/72 - (995*t[51])/576 + 
       (317*t[52])/72 + (421*t[53])/288 - (133*t[54])/144 + (19*t[59])/12 + 
       (1939*t[60])/144 - (311*t[61])/144 + (9629*t[62])/288 + 
       (475*t[63])/288 - (4865*t[64])/288 + (743*t[65])/108 - 
       (1745*t[66])/108 - t[72] - (95*t[74])/12 + 3*t[76] - (19*t[77])/12 - 
       (19*t[78])/12 + 4*t[79] + (47*t[81])/24 + (577*t[82])/72 - 8*t[83] + 
       (5*t[84])/6 - (725*t[85])/144 - (125*t[86])/6 - (79*t[87])/144 - 
       (79*t[88])/288 - (1459*t[89])/288 - (19*t[95])/6 - 31*t[99] - 
       37*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*Omega2[u, v, w]*
      (2*t[2] - (15*t[3])/2 - (19*t[4])/3 - t[5]/6 - (7*t[6])/6 + 4*t[7] - 
       24*t[8] - 11*t[9] - (41*t[10])/6 + (37*t[11])/6 + (83*t[12])/6 + 
       (98*t[13])/9 - (13*t[14])/18 - (211*t[15])/36 - (20*t[24])/3 + 
       2*t[28] + 2*t[32] - (2*t[33])/3 - 2*t[36] + t[41] - t[42] + 2*t[43] + 
       4*t[44] + t[46] + 2*t[47] - (16*t[48])/3 - (7*t[49])/6 + 
       (20*t[50])/3 + (4*t[51])/3 - (20*t[52])/3 + (7*t[53])/6 - 
       (10*t[54])/3 + 2*t[59] - (17*t[60])/3 + (61*t[61])/3 - (13*t[62])/6 + 
       (97*t[63])/6 - (82*t[64])/3 - (23*t[65])/18 - (607*t[66])/18 - 
       8*t[74] - 2*t[77] - 2*t[78] + 8*t[80] + 5*t[81] - (7*t[82])/3 + 
       t[83] - (3*t[84])/2 - (14*t[85])/3 + 4*t[86] + (35*t[87])/3 + 
       (35*t[88])/6 - (26*t[89])/3 - 24*t[99] - 36*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-131*t[2])/8 - (797*t[3])/32 + (97*t[4])/4 - (175*t[5])/3 - 
       (257*t[6])/12 + (1113*t[7])/16 - (3799*t[8])/48 + (2033*t[9])/48 + 
       (67*t[10])/12 + (1313*t[11])/24 - (341*t[12])/48 - (5567*t[13])/288 + 
       (221*t[14])/8 + (43223*t[15])/1728 + 3*t[20] - t[22] + t[24] - 
       (5*t[28])/6 - (73*t[29])/24 + (245*t[30])/24 - 4*t[31] + 
       (23*t[32])/12 - (19*t[33])/8 + (25*t[34])/12 - t[35] - 12*t[36] - 
       2*t[37] - 2*t[39] + (17*t[40])/2 - t[41] + t[42] + (521*t[44])/24 + 
       t[46] - 4*t[47] - (2231*t[48])/48 + (87*t[49])/8 + (737*t[50])/16 - 
       (59*t[51])/16 - (737*t[52])/16 - (87*t[53])/8 - (317*t[54])/12 - 
       (101*t[59])/24 - (89*t[60])/3 + (272*t[61])/3 - (2639*t[62])/24 + 
       (305*t[63])/3 - (799*t[64])/16 - (2533*t[65])/144 + (637*t[66])/16 - 
       t[69] - 4*t[72] - (5*t[73])/2 - (10*t[74])/3 - (5*t[75])/2 - 
       18*t[76] + 4*t[77] + 4*t[78] - (23*t[79])/2 + 4*t[80] - (11*t[81])/6 - 
       (55*t[82])/6 + (31*t[83])/3 - (305*t[84])/48 - (77*t[85])/48 + 
       (271*t[86])/6 - (15*t[87])/16 - (161*t[88])/96 - (739*t[89])/24 + 
       (20*t[95])/3 - 24*t[98] + 38*t[99] - 32*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((389*t[2])/24 + (195*t[3])/32 - (51*t[4])/2 + (775*t[5])/24 + 
       (11*t[6])/6 - (11*t[7])/16 + (173*t[8])/48 + (1247*t[9])/48 - 
       (61*t[10])/24 - (769*t[11])/24 + (331*t[12])/48 - (4075*t[13])/288 - 
       (773*t[14])/48 + (4355*t[15])/1728 + t[18] - t[20] + t[22] - 4*t[23] - 
       t[24] - (35*t[28])/6 + (185*t[29])/24 - (67*t[30])/24 + 4*t[31] - 
       (25*t[32])/12 - (3*t[33])/8 - (107*t[34])/12 + 4*t[35] + 12*t[36] - 
       t[41] + t[42] - (3*t[43])/2 - (97*t[44])/24 - 2*t[46] + 2*t[47] + 
       (577*t[48])/48 - (49*t[49])/4 - (47*t[50])/16 + (37*t[51])/8 + 
       (47*t[52])/16 + (49*t[53])/4 + (49*t[54])/3 + (53*t[59])/24 - 
       (461*t[60])/12 - (85*t[61])/12 + (277*t[62])/24 + (89*t[63])/3 + 
       (705*t[64])/16 - (2209*t[65])/144 + (1121*t[66])/16 - 3*t[69] - 
       3*t[70] + 3*t[71] + (7*t[73])/2 + (44*t[74])/3 - (3*t[75])/2 - 
       4*t[76] - 3*t[77] + t[78] + (23*t[79])/2 - 5*t[80] - (77*t[81])/6 + 
       (59*t[82])/6 - (14*t[83])/3 - (365*t[84])/48 - (857*t[85])/48 + 
       (13*t[86])/6 + (165*t[87])/16 + (379*t[88])/96 + (7*t[89])/12 + 
       (20*t[95])/3 - 24*t[98] + 38*t[99] - 32*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*((185*t[2])/12 + (53*t[3])/2 - 
       (161*t[4])/36 + (859*t[5])/18 + (301*t[6])/18 - (55*t[7])/3 + 
       (79*t[8])/4 - (117*t[9])/4 - (1153*t[10])/72 - (299*t[11])/36 - 
       (377*t[12])/72 + (793*t[13])/54 - (7117*t[14])/432 - 16*t[15] + 
       (4*t[20])/3 + 2*t[23] + (56*t[24])/9 - (4*t[28])/3 - (25*t[29])/3 - 
       (17*t[30])/2 - 2*t[31] + (19*t[32])/6 + (43*t[33])/18 + (4*t[34])/3 - 
       6*t[35] + 12*t[36] + 4*t[37] - 6*t[44] - 2*t[46] + 4*t[47] + 
       (265*t[48])/36 - (461*t[49])/72 - (403*t[50])/18 + (377*t[51])/144 + 
       (403*t[52])/18 + (461*t[53])/72 + (289*t[54])/36 - t[59]/2 + 
       (899*t[60])/36 - (425*t[61])/18 + (3475*t[62])/72 - (2299*t[63])/72 + 
       (52*t[64])/9 + (355*t[65])/108 - (1603*t[66])/108 - t[73] + t[74] + 
       7*t[75] - 6*t[76] - 4*t[77] + 5*t[79] - 8*t[80] - (7*t[81])/2 + 
       (65*t[82])/18 - (68*t[83])/3 + (37*t[84])/12 - (83*t[85])/18 - 
       (109*t[86])/3 - (341*t[87])/36 - (341*t[88])/72 + (1063*t[89])/72 - 
       24*t[99] - 28*t[100])*\[Zeta][2] + M1[v, w, u]*
      ((-25*t[2])/4 - t[3] + (13*t[4])/12 + (37*t[5])/24 + (2*t[6])/3 + 
       (7*t[7])/2 - t[8]/2 - (29*t[9])/8 - (133*t[10])/24 + (22*t[11])/3 + 
       (13*t[12])/6 + (239*t[13])/36 + (215*t[14])/144 - (251*t[15])/144 + 
       (5*t[24])/3 + t[32] + (14*t[33])/3 + t[37] + t[41]/2 - t[42]/2 + 
       t[43]/2 + t[44] + t[47] - (2*t[48])/3 + t[49]/24 + (4*t[50])/3 - 
       t[51]/48 - (4*t[52])/3 - t[53]/24 - (29*t[54])/12 + t[59] + 
       (77*t[60])/12 + (167*t[61])/12 + (43*t[62])/24 + (125*t[63])/24 - 
       (103*t[64])/24 + (40*t[65])/9 - (190*t[66])/9 - 5*t[74] - t[77] - 
       t[78] + (5*t[81])/2 - (25*t[82])/6 + t[84] + (5*t[85])/12 + 2*t[86] - 
       (17*t[87])/12 - (17*t[88])/24 - (29*t[89])/24 - 2*t[95] - 12*t[99] - 
       24*t[100])*\[Zeta][2] + M1[w, u, v]*((-25*t[2])/4 - t[3] + 
       (7*t[4])/4 + (23*t[5])/8 + (7*t[7])/2 - t[8]/2 - (37*t[9])/8 - 
       (47*t[10])/8 + 8*t[11] + (3*t[12])/2 + (77*t[13])/12 + (37*t[14])/48 - 
       (97*t[15])/48 + t[24] + t[32] + 4*t[33] + t[37] + t[41]/2 - t[42]/2 + 
       t[43]/2 + t[44] + t[47] + (3*t[49])/8 + 2*t[50] - (3*t[51])/16 - 
       2*t[52] - (3*t[53])/8 - (15*t[54])/4 + t[59] + (23*t[60])/4 + 
       (53*t[61])/4 + (17*t[62])/8 + (39*t[63])/8 - (37*t[64])/8 + 
       (16*t[65])/3 - (58*t[66])/3 - 5*t[74] - t[77] - t[78] + (5*t[81])/2 - 
       (7*t[82])/2 + t[84] - t[85]/4 + 2*t[86] - (3*t[87])/4 - (3*t[88])/8 - 
       (7*t[89])/8 - 2*t[95] - 12*t[99] - 24*t[100])*\[Zeta][2] + 
     M1[u, v, w]*((-21*t[2])/4 - 2*t[3] + (29*t[4])/12 + (29*t[5])/24 + 
       t[6]/3 + (11*t[7])/2 - (19*t[8])/2 + (27*t[9])/8 - (149*t[10])/24 + 
       (29*t[11])/3 + (17*t[12])/6 + (247*t[13])/36 + (295*t[14])/144 - 
       (259*t[15])/144 + t[24]/3 + t[32] + (10*t[33])/3 + t[37] + t[41]/2 - 
       t[42]/2 + t[43]/2 + t[44] + t[47] - (4*t[48])/3 - (7*t[49])/24 + 
       (8*t[50])/3 + (31*t[51])/48 - (8*t[52])/3 + (7*t[53])/24 - 
       (61*t[54])/12 + t[59] + (85*t[60])/12 + (151*t[61])/12 + 
       (35*t[62])/24 + (133*t[63])/24 - (119*t[64])/24 + (56*t[65])/9 - 
       (182*t[66])/9 - 5*t[74] - t[77] - t[78] + (5*t[81])/2 - (29*t[82])/6 + 
       t[84] + (13*t[85])/12 + 2*t[86] - (25*t[87])/12 - (25*t[88])/24 - 
       (13*t[89])/24 - 2*t[95] - 12*t[99] - 24*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*(3*t[1] + (255*t[2])/2 - 
       (137*t[3])/4 - (201*t[4])/2 + (429*t[5])/8 - (209*t[6])/2 - 
       (191*t[7])/4 - (1793*t[8])/4 - (993*t[9])/8 + 34*t[10] - 
       (53*t[11])/2 + (813*t[12])/8 + (341*t[13])/72 - (679*t[14])/12 + 
       (353*t[15])/16 - 28*t[24] + 36*t[28] - 6*t[31] - 6*t[32] + 2*t[33] - 
       18*t[35] + 26*t[36] - 30*t[37] + 16*t[40] - 3*t[41] + 3*t[42] + 
       9*t[43] + 18*t[44] - 4*t[45] + 31*t[46] + 2*t[47] - (335*t[48])/4 - 
       (73*t[49])/4 + (401*t[50])/4 + (103*t[51])/8 - (401*t[52])/4 + 
       (73*t[53])/4 - (231*t[54])/4 - 3*t[59] - 351*t[60] - 96*t[61] - 
       (911*t[62])/4 + (231*t[63])/4 + (55*t[64])/2 - (479*t[65])/3 - 
       (431*t[66])/3 + 60*t[73] - 42*t[74] - 82*t[75] - 4*t[77] - 2*t[78] - 
       10*t[79] + 80*t[80] + 52*t[81] - 66*t[82] + 64*t[83] - 61*t[84] - 
       53*t[85] + 82*t[86] + 253*t[87] + (253*t[88])/2 - (377*t[89])/2 + 
       12*t[95] - 12*t[99] - 24*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((-7*t[1])/2 + (971*t[2])/24 - 
       (509*t[3])/6 - (9103*t[4])/72 - (7627*t[5])/144 + (2903*t[6])/36 + 
       (341*t[7])/12 + (801*t[8])/4 + (5851*t[9])/48 - (6593*t[10])/144 - 
       (3941*t[11])/36 + (317*t[12])/9 - (15359*t[13])/216 + 
       (40507*t[14])/864 + (7325*t[15])/864 + 2*t[19] + 2*t[21] - 6*t[22] - 
       2*t[23] - (41*t[24])/18 + 10*t[25] - 3*t[26] - 8*t[27] + 8*t[29] - 
       2*t[30] - 2*t[31] + (63*t[32])/2 - (70*t[33])/9 - 5*t[34] + 4*t[36] + 
       (3*t[37])/2 - 11*t[38] + 4*t[39] - 15*t[40] - (3*t[41])/4 + 
       (3*t[42])/4 + (3*t[43])/4 + (3*t[44])/2 - 5*t[45] + 4*t[46] + 
       (25*t[47])/2 + (1531*t[48])/36 - (835*t[49])/144 + (7*t[50])/36 + 
       (1747*t[51])/288 + (1109*t[52])/36 + (3715*t[53])/144 + 
       (7073*t[54])/72 + 3*t[58] + (23*t[59])/2 + (6433*t[60])/72 - 
       (749*t[61])/72 + (9551*t[62])/144 + (10969*t[63])/144 - 
       (13907*t[64])/144 + (7138*t[65])/27 + (5906*t[66])/27 + 8*t[70] - 
       8*t[71] + 2*t[72] - (3*t[74])/2 - 12*t[76] - (3*t[77])/2 + 
       (21*t[78])/2 + 24*t[80] + (19*t[81])/4 + (103*t[82])/36 - 2*t[83] + 
       (181*t[84])/2 + (1393*t[85])/72 + 11*t[86] - (5389*t[87])/72 - 
       (205*t[88])/144 + (9767*t[89])/144 + 9*t[95] - 6*t[96] + 4*t[97] - 
       48*t[98] + 54*t[99] - 24*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*((-5*t[1])/8 + (31*t[2])/8 + 
       (99*t[3])/16 - (29*t[4])/4 + (581*t[5])/24 - (1767*t[6])/64 + 
       (625*t[7])/24 - (2935*t[8])/48 + (269*t[9])/96 - (263*t[10])/12 + 
       (2471*t[11])/64 - (161*t[12])/48 + (6689*t[13])/432 + (333*t[14])/64 + 
       (437*t[15])/1728 + (2*t[18])/3 - 2*t[20] + 2*t[23] + (77*t[24])/12 - 
       t[27]/6 - (3*t[28])/2 - (91*t[29])/12 - t[30]/6 - 4*t[31] - 
       (55*t[32])/6 + (71*t[33])/12 + t[34]/4 - (50*t[35])/3 + 5*t[36] + 
       (3*t[37])/2 - (7*t[38])/12 + t[39]/12 + (7*t[40])/24 + t[41]/8 - 
       t[42]/8 + (35*t[43])/12 - (61*t[44])/24 - (37*t[45])/12 - 
       (3*t[46])/4 + (37*t[47])/12 - (3163*t[48])/192 - t[49]/3 + 
       (1873*t[50])/192 + t[51]/16 - (1793*t[52])/192 + (2*t[53])/3 - 
       (5645*t[54])/192 - (7*t[59])/8 + (113*t[60])/96 + (707*t[61])/96 - 
       (1317*t[62])/64 + (877*t[63])/64 + (3239*t[64])/192 - 
       (3373*t[65])/288 - (23207*t[66])/288 - (4*t[69])/3 - (5*t[70])/2 + 
       (5*t[71])/2 + (5*t[72])/6 + 4*t[73] - (7*t[74])/6 - (59*t[75])/3 + 
       (35*t[76])/6 - (23*t[77])/6 - (25*t[78])/4 + (13*t[79])/3 + 
       (23*t[80])/2 + (3*t[81])/2 - (5*t[82])/12 + (19*t[83])/3 - 
       (31*t[84])/32 + (19*t[85])/96 + (47*t[86])/3 - (307*t[87])/96 - 
       (1379*t[88])/192 - (831*t[89])/64 + 3*t[95] + (5*t[96])/3 - t[97]/4 + 
       38*t[98] - 46*t[99] - 18*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*(-10*t[1] + (2915*t[2])/48 - 
       (529*t[3])/24 - (11437*t[4])/144 + (4997*t[5])/288 - (4433*t[6])/144 + 
       (437*t[7])/24 - (677*t[8])/8 - (761*t[9])/96 + (16513*t[10])/288 - 
       (2899*t[11])/144 + (8425*t[12])/144 + (10135*t[13])/432 + 
       (88705*t[14])/1728 + (58433*t[15])/1728 - 4*t[19] + 4*t[20] + 
       4*t[21] - 4*t[22] - 4*t[23] - (65*t[24])/36 + 9*t[25] + 3*t[26] - 
       6*t[27] + 2*t[28] - (19*t[29])/2 + t[30] - 6*t[31] + (7*t[32])/4 + 
       (103*t[33])/9 + 10*t[34] - 14*t[35] - 4*t[36] - (13*t[37])/4 - 
       12*t[38] - 9*t[39] - (5*t[41])/8 + (5*t[42])/8 + (91*t[43])/8 + 
       (17*t[44])/2 + 10*t[45] - 12*t[46] - (109*t[47])/4 - 
       (5887*t[48])/144 - (901*t[49])/288 - (691*t[50])/144 - 
       (6431*t[51])/576 + (691*t[52])/144 + (1477*t[53])/288 + 
       (575*t[54])/36 + (39*t[59])/4 + (7111*t[60])/144 + (4105*t[61])/144 + 
       (16037*t[62])/288 + (17011*t[63])/288 - (53477*t[64])/288 + 
       (3751*t[65])/216 - (8545*t[66])/216 - 2*t[72] + 6*t[73] + t[74]/4 + 
       6*t[75] + 6*t[76] - (3*t[77])/4 - (35*t[78])/4 - 4*t[79] + 10*t[80] + 
       (55*t[81])/8 - (137*t[82])/72 + 16*t[83] + (83*t[84])/8 + 
       (4735*t[85])/144 + (43*t[86])/2 - (8587*t[87])/144 - 
       (8587*t[88])/288 - (14671*t[89])/288 - (3*t[95])/2 - 21*t[99] - 
       17*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*
      (t[1]/4 - (121*t[2])/48 - (115*t[3])/96 - (373*t[4])/48 + 
       (263*t[5])/96 + (277*t[6])/192 + (709*t[7])/48 + (91*t[8])/24 + 
       (149*t[9])/16 - (101*t[10])/32 + (451*t[11])/192 + (35*t[12])/8 - 
       (947*t[13])/864 + (1337*t[14])/144 + (6461*t[15])/1728 - (2*t[20])/3 + 
       (7*t[24])/6 - (2*t[27])/3 - t[29]/24 - 2*t[30] - t[31] - t[32]/12 + 
       t[33]/4 + (5*t[34])/6 - 2*t[35] + t[36] + t[37]/12 - t[38]/3 + 
       (7*t[39])/3 - (47*t[40])/24 + (7*t[41])/24 - (7*t[42])/24 - 
       (11*t[43])/24 + (3*t[44])/16 - (11*t[45])/4 - t[46]/4 + 3*t[47] - 
       (25*t[48])/192 - (3*t[49])/32 + (9*t[50])/64 - (203*t[51])/192 + 
       (55*t[52])/64 + (137*t[53])/96 + (139*t[54])/64 + (4*t[59])/3 + 
       (19*t[60])/32 + (1705*t[61])/96 - (663*t[62])/64 + (279*t[63])/64 - 
       (1039*t[64])/192 - (905*t[65])/288 - (169*t[66])/96 - t[70]/6 + 
       t[71]/6 + t[72]/2 - t[73] - t[74]/4 + t[75] + (53*t[76])/12 + 
       t[77]/12 - (65*t[78])/12 - (3*t[79])/2 + (9*t[80])/2 + (29*t[81])/24 + 
       (23*t[82])/24 + t[83]/3 - (71*t[84])/32 - (77*t[85])/32 - 
       (793*t[87])/96 - (953*t[88])/192 - (1097*t[89])/192 + t[95]/2 + 
       (13*t[96])/6 + (3*t[97])/2 + 26*t[98] - 29*t[99] - (27*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
      ((-25*t[2])/8 - t[3]/2 + (13*t[4])/24 - (11*t[5])/48 + t[6]/3 + 
       (7*t[7])/4 - t[8]/4 - (29*t[9])/16 - (133*t[10])/48 + (11*t[11])/3 + 
       (13*t[12])/12 + (239*t[13])/72 + (215*t[14])/288 - (731*t[15])/288 - 
       (7*t[24])/6 + t[32]/2 + t[33]/3 + t[37]/2 + t[41]/4 - t[42]/4 + 
       t[43]/4 + t[44]/2 + t[47]/2 - t[48]/3 + t[49]/48 + (2*t[50])/3 - 
       t[51]/96 - (2*t[52])/3 - t[53]/48 - (29*t[54])/24 + t[59]/2 + 
       (77*t[60])/24 + (167*t[61])/24 + (43*t[62])/48 + (125*t[63])/48 - 
       (103*t[64])/48 + (20*t[65])/9 - (95*t[66])/9 - (5*t[74])/2 - t[77]/2 - 
       t[78]/2 + (5*t[81])/4 - t[82]/12 + t[84]/2 + (5*t[85])/24 + t[86] - 
       (17*t[87])/24 - (17*t[88])/48 - (29*t[89])/48 - t[95] - 6*t[99] - 
       12*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((-45*t[2])/8 + (3*t[3])/2 + (167*t[4])/24 - (73*t[5])/48 + 
       (29*t[6])/12 + (9*t[7])/2 + 7*t[8] + (105*t[9])/16 - (227*t[10])/48 + 
       (31*t[11])/3 - (43*t[12])/12 + (11*t[13])/3 + (697*t[14])/288 - 
       (1585*t[15])/288 - (23*t[24])/6 - t[28] + t[32]/2 - (13*t[33])/3 + 
       t[36] + (3*t[37])/2 + t[41]/4 - t[42]/4 - t[43]/4 - t[44]/2 - 
       t[46]/2 + t[47]/2 + (31*t[48])/12 + (11*t[49])/48 - (11*t[50])/12 + 
       t[51]/96 + (11*t[52])/12 - (11*t[53])/48 - (85*t[54])/24 + t[59]/2 + 
       (343*t[60])/24 + (229*t[61])/24 + (257*t[62])/48 + (55*t[63])/48 - 
       (89*t[64])/48 + (301*t[65])/36 - (307*t[66])/36 - t[74]/2 - t[77]/2 - 
       t[78]/2 + t[79] - 4*t[80] - (3*t[81])/4 + (55*t[82])/12 - 2*t[83] + 
       (11*t[84])/4 + (91*t[85])/24 - 2*t[86] - (211*t[87])/24 - 
       (211*t[88])/48 + (221*t[89])/48 - t[95] - 6*t[99] - 12*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-125*t[2])/8 - (223*t[3])/12 + (959*t[4])/72 - (3595*t[5])/144 - 
       (22*t[6])/9 + (63*t[7])/4 - (89*t[8])/3 + (129*t[9])/16 + 
       (229*t[10])/144 + (937*t[11])/36 + (451*t[12])/72 + (259*t[13])/216 + 
       (6625*t[14])/864 + (2611*t[15])/288 - (53*t[24])/18 + (17*t[28])/3 - 
       (3*t[29])/4 + 7*t[30] - 2*t[31] - (5*t[32])/6 + (23*t[33])/9 - 
       4*t[35] - 12*t[36] - (5*t[37])/6 + 3*t[40] + (19*t[41])/12 - 
       (19*t[42])/12 + (19*t[43])/12 + (115*t[44])/12 + 2*t[46] - 
       (5*t[47])/6 - (239*t[48])/36 + (995*t[49])/144 + (305*t[50])/18 - 
       (683*t[51])/288 - (305*t[52])/18 - (995*t[53])/144 - (811*t[54])/72 + 
       (19*t[59])/6 + (43*t[60])/72 + (2989*t[61])/72 - (3325*t[62])/144 + 
       (6901*t[63])/144 - (9869*t[64])/144 - (545*t[65])/108 + 
       (929*t[66])/108 - 2*t[72] - t[73] - (23*t[74])/6 + 7*t[75] - 6*t[76] + 
       (5*t[77])/6 - (19*t[78])/6 + t[79] + 8*t[80] + (47*t[81])/12 - 
       (263*t[82])/36 - (14*t[83])/3 - (37*t[84])/12 - (179*t[85])/72 + 
       14*t[86] + (89*t[87])/72 + (89*t[88])/144 - (547*t[89])/144 + 
       (5*t[95])/3 - 14*t[99] - 8*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*(-t[1]/2 + (127*t[2])/16 - 
       (29*t[3])/3 + (1331*t[4])/144 + (83*t[5])/288 + (10*t[6])/9 - 
       (49*t[7])/24 + (197*t[8])/24 + (119*t[9])/32 + (1285*t[10])/288 + 
       (107*t[11])/36 - (373*t[12])/72 - (2027*t[13])/432 + 
       (13537*t[14])/1728 + (6491*t[15])/1728 + (7*t[24])/36 + t[25] - 
       t[26] + 2*t[29] + 2*t[30] - 2*t[31] + (19*t[32])/12 - (55*t[33])/18 + 
       (19*t[37])/12 + t[38]/2 - 2*t[39] + (7*t[40])/2 - (5*t[41])/24 + 
       (5*t[42])/24 - (17*t[43])/24 - (41*t[44])/12 + (7*t[45])/2 - t[46] - 
       (47*t[47])/12 + (227*t[48])/36 + (719*t[49])/288 - (13*t[50])/36 + 
       (169*t[51])/576 - (95*t[52])/36 - (719*t[53])/288 + (449*t[54])/144 - 
       (5*t[59])/3 + (799*t[60])/144 + (2149*t[61])/144 - (2695*t[62])/288 - 
       (1889*t[63])/288 + (259*t[64])/288 - (130*t[65])/27 - (7*t[66])/54 + 
       2*t[72] + (25*t[74])/12 - 4*t[76] + (5*t[77])/12 + (107*t[78])/12 - 
       9*t[80] - (13*t[81])/24 - (203*t[82])/72 + (55*t[84])/12 - 
       (713*t[85])/144 + (7*t[86])/6 + (1205*t[87])/144 + (1205*t[88])/288 + 
       (329*t[89])/288 + (5*t[95])/6 - t[97]/2 - 24*t[98] + 29*t[99] - 
       8*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*
      (t[1]/8 - (16*t[2])/3 + (2177*t[3])/96 + (113*t[4])/12 + 
       (2107*t[5])/48 - (8887*t[6])/192 + (43*t[7])/16 - (3565*t[8])/24 - 
       (1547*t[9])/96 + (29*t[10])/3 + (2909*t[11])/64 + (97*t[12])/48 + 
       (22109*t[13])/864 - (17261*t[14])/576 - (8795*t[15])/864 - t[20]/6 + 
       t[24]/12 - (2*t[27])/3 - (5*t[28])/3 - (79*t[29])/24 - 11*t[30] + 
       4*t[31] - (17*t[32])/3 + (23*t[33])/12 - (17*t[34])/12 + 6*t[35] - 
       5*t[36] - (2*t[37])/3 + t[38]/6 + (17*t[39])/6 - (173*t[40])/24 + 
       (7*t[41])/24 - (7*t[42])/24 - t[43]/2 + (917*t[44])/48 - (5*t[45])/4 + 
       t[46]/4 + (25*t[47])/12 - (3821*t[48])/192 + 3*t[49] + 
       (189*t[50])/64 - (71*t[51])/48 - (333*t[52])/64 - (5*t[53])/3 - 
       (8351*t[54])/192 + (13*t[59])/12 + (1103*t[60])/96 - (567*t[61])/32 - 
       (1749*t[62])/64 - (5617*t[63])/192 + (287*t[64])/192 - 
       (16721*t[65])/288 - (12565*t[66])/96 - (7*t[70])/6 + (7*t[71])/6 + 
       3*t[72] + 10*t[73] + (3*t[74])/2 - (41*t[75])/3 + (109*t[76])/6 + 
       (11*t[77])/3 - 3*t[78] + (16*t[79])/3 + (4*t[80])/3 + (5*t[81])/4 - 
       (9*t[82])/4 + 8*t[83] - (565*t[84])/96 - (199*t[85])/32 - 
       (49*t[86])/3 - (347*t[87])/96 - (473*t[88])/64 - (2453*t[89])/64 + 
       4*t[95] + (19*t[96])/6 + t[97]/2 + 38*t[98] - 40*t[99] - 6*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((-3*t[1])/8 - (40*t[2])/3 + (81*t[3])/32 + (149*t[4])/24 - 
       (87*t[5])/32 - (661*t[6])/192 + (727*t[7])/48 + (385*t[8])/48 - 
       (17*t[9])/16 - (371*t[10])/24 + (1683*t[11])/64 + (77*t[12])/32 + 
       (3397*t[13])/288 + (7433*t[14])/576 - (407*t[15])/1728 - t[18]/3 - 
       (4*t[20])/3 - t[22] - (11*t[24])/6 - t[27]/6 - t[28]/3 - 
       (65*t[29])/24 - (29*t[30])/8 - (49*t[32])/24 + (91*t[33])/24 - 
       (13*t[34])/12 + (13*t[35])/6 - t[36] + (7*t[37])/4 - (7*t[38])/12 + 
       (7*t[39])/12 - (17*t[40])/24 + t[41]/2 - t[42]/2 + (25*t[43])/24 - 
       (27*t[44])/16 - (11*t[45])/4 - t[46]/4 + (10*t[47])/3 - 
       (659*t[48])/192 + (167*t[49])/48 + (133*t[50])/192 - (67*t[51])/32 + 
       (107*t[52])/192 - (151*t[53])/48 - (2525*t[54])/192 + (23*t[59])/12 + 
       (2689*t[60])/96 + (1267*t[61])/96 + (547*t[62])/192 + (335*t[63])/64 - 
       (3235*t[64])/64 + (3595*t[65])/288 - (9379*t[66])/288 + (7*t[69])/3 + 
       t[70]/6 - t[71]/6 + t[72]/2 - (9*t[73])/4 - (28*t[74])/3 - 
       (43*t[75])/12 + (5*t[76])/3 - (23*t[77])/12 - (7*t[78])/2 - 
       (49*t[79])/12 + (13*t[80])/6 + t[81]/2 + (13*t[82])/6 + (14*t[83])/3 + 
       (319*t[84])/96 + (767*t[85])/96 + (51*t[86])/4 - (1465*t[87])/96 - 
       (1673*t[88])/192 + (691*t[89])/192 + t[95]/2 + (2*t[96])/3 + t[97]/4 + 
       14*t[98] - 33*t[99] - (11*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*((3*t[1])/8 + (209*t[2])/48 + 
       (7*t[3])/6 - (11*t[4])/48 + (587*t[5])/48 + (355*t[6])/64 - 
       (23*t[7])/12 + (281*t[8])/24 - (65*t[9])/32 - (13*t[10])/32 - 
       (655*t[11])/64 + (325*t[12])/96 + (1135*t[13])/144 + (481*t[14])/72 - 
       (14417*t[15])/1728 - (3*t[24])/2 - (2*t[27])/3 - (23*t[28])/12 + 
       (103*t[29])/48 - (29*t[30])/12 + t[32]/2 + (5*t[33])/4 + t[34]/4 + 
       t[36] + (13*t[37])/12 + t[38]/6 + t[39]/3 + t[40]/24 + (5*t[41])/12 - 
       (5*t[42])/12 + (7*t[43])/8 - (461*t[44])/48 - (13*t[45])/12 - 
       t[46]/4 + (10*t[47])/3 + (251*t[48])/192 + (173*t[49])/96 - 
       (469*t[50])/192 - (25*t[51])/192 + (119*t[52])/64 - (15*t[53])/32 + 
       (191*t[54])/64 + t[59]/3 - (165*t[60])/32 - (457*t[61])/96 + 
       (4295*t[62])/192 + (65*t[63])/192 - (3569*t[64])/192 - 
       (199*t[65])/96 - (255*t[66])/32 - t[70]/6 + t[71]/6 + (4*t[72])/3 - 
       (9*t[73])/4 - (19*t[74])/4 - (7*t[75])/12 + (11*t[76])/6 - 
       (3*t[77])/4 - (13*t[78])/4 + (23*t[79])/12 + (11*t[80])/3 + 
       (73*t[81])/24 - (55*t[82])/24 - t[83]/4 - (325*t[84])/96 - 
       (235*t[85])/96 - (187*t[86])/12 - (679*t[87])/96 - (887*t[88])/192 + 
       (1723*t[89])/192 + t[95]/2 + (13*t[96])/6 + t[97] + 14*t[98] - 
       33*t[99] - (11*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*((45*t[2])/2 - (29*t[3])/8 - 
       (57*t[4])/2 + (209*t[5])/24 - (427*t[6])/24 + (317*t[7])/12 - 
       (182*t[8])/3 + (49*t[9])/8 - (35*t[10])/6 - (117*t[11])/8 + 
       (349*t[12])/24 - (55*t[13])/8 - (131*t[14])/18 - (73*t[15])/216 - 
       t[24] + (4*t[28])/3 - (17*t[29])/4 + (13*t[30])/2 + (7*t[32])/2 + 
       t[33]/2 + 3*t[34] + 2*t[35] + 5*t[36] - 2*t[37] - t[41]/2 + t[42]/2 + 
       2*t[43] + (145*t[44])/12 + t[46]/2 + t[47] - (511*t[48])/24 - 
       (23*t[49])/4 + (403*t[50])/24 + (13*t[51])/4 - (403*t[52])/24 + 
       (23*t[53])/4 - (133*t[54])/24 - (5*t[59])/2 - (379*t[60])/12 - 
       (53*t[61])/4 - (361*t[62])/12 + (89*t[63])/12 + (505*t[64])/24 - 
       (23*t[65])/2 - (62*t[66])/9 + 3*t[73] - 6*t[74] + 5*t[75] - 3*t[77] - 
       t[78] - 5*t[79] + 12*t[80] + (3*t[81])/2 - (5*t[82])/2 + t[83]/6 - 
       7*t[84] - (39*t[85])/4 + (91*t[86])/3 + (112*t[87])/3 + (62*t[88])/3 - 
       (193*t[89])/8 - 2*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^2*(-t[2]/48 - (7*t[3])/12 + (3*t[4])/16 + 
       (13*t[5])/24 - (35*t[6])/48 - t[7]/4 + (13*t[8])/16 - (113*t[9])/48 + 
       (3*t[10])/32 + (11*t[11])/12 - (9*t[12])/32 + (2*t[13])/3 + 
       (361*t[14])/576 + (223*t[15])/432 - t[20]/3 + (2*t[24])/3 - 
       (2*t[28])/3 - (11*t[29])/12 - t[30]/8 - (37*t[32])/24 + (15*t[33])/8 - 
       t[34]/3 - t[35]/2 + t[44]/4 - (5*t[48])/8 + (17*t[49])/96 - 
       (7*t[50])/48 - (41*t[51])/192 + (7*t[52])/48 - (17*t[53])/96 - 
       t[54]/3 - t[59]/8 + (23*t[60])/48 + 2*t[61] - (197*t[62])/96 - 
       (41*t[63])/32 + (23*t[64])/48 + (31*t[65])/144 - (607*t[66])/144 - 
       t[73]/4 + t[74]/4 - (5*t[75])/4 + t[79]/4 + t[81]/8 - (7*t[82])/24 + 
       (5*t[83])/3 + (35*t[84])/48 + t[85]/4 + (7*t[86])/12 + (79*t[87])/48 + 
       (79*t[88])/96 + (127*t[89])/96 - 2*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      ((-235*t[2])/12 - (23*t[3])/24 + (335*t[4])/12 - (51*t[5])/4 + 
       (661*t[6])/24 - (99*t[7])/4 + 69*t[8] - (5*t[9])/12 + (67*t[10])/24 + 
       (173*t[11])/24 - (283*t[12])/24 + (569*t[13])/72 + (191*t[14])/144 + 
       (85*t[15])/432 - t[20]/3 + t[24] + t[28]/3 + (23*t[29])/6 + 
       (11*t[30])/2 - (25*t[32])/6 + (11*t[33])/6 + (2*t[34])/3 - 5*t[36] + 
       2*t[37] + t[41]/2 - t[42]/2 - 2*t[43] - (5*t[44])/2 - t[46]/2 - 
       t[47] + (433*t[48])/24 + (127*t[49])/24 - (433*t[50])/24 - 
       (145*t[51])/48 + (433*t[52])/24 - (127*t[53])/24 + (389*t[54])/24 + 
       (11*t[59])/6 + 35*t[60] + (175*t[61])/12 + (157*t[62])/6 - 
       (82*t[63])/3 + (17*t[64])/24 + (68*t[65])/3 + (47*t[66])/6 + t[73] + 
       5*t[74] + 11*t[75] + 3*t[77] + t[78] + t[79] - 12*t[80] - 2*t[81] + 
       3*t[82] - (77*t[83])/6 + (49*t[84])/6 + (59*t[85])/6 - (47*t[86])/3 - 
       (61*t[87])/4 - (41*t[88])/8 + 28*t[89] - 2*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*(t[1]/4 + (167*t[2])/48 - 
       (43*t[3])/48 + (37*t[4])/16 - (131*t[5])/96 - (35*t[6])/64 + 
       (83*t[7])/24 - (127*t[8])/48 + (713*t[9])/48 + (223*t[10])/32 + 
       (1201*t[11])/192 + (83*t[12])/24 - (173*t[13])/432 + (1151*t[14])/96 + 
       (215*t[15])/432 - (2*t[27])/3 - t[28]/2 + t[29]/12 - (5*t[30])/3 - 
       (11*t[32])/12 - (7*t[33])/4 + 2*t[34] + t[35] - t[36] - (5*t[37])/12 - 
       t[38]/3 + (11*t[39])/6 - (53*t[40])/24 + t[41]/24 - t[42]/24 - 
       (5*t[43])/24 - (49*t[44])/24 - (31*t[45])/12 - t[46]/4 + 2*t[47] - 
       (487*t[48])/192 + (275*t[49])/96 - (619*t[50])/192 - (199*t[51])/192 + 
       (313*t[52])/64 - (49*t[53])/32 - (205*t[54])/192 - (5*t[59])/12 + 
       (273*t[60])/32 + (505*t[61])/96 - (2845*t[62])/192 - (425*t[63])/64 + 
       (11*t[64])/64 - (1991*t[65])/96 - (1777*t[66])/96 - t[70]/6 + 
       t[71]/6 + (5*t[72])/6 - t[73] + (11*t[74])/4 + t[75] + (55*t[76])/12 + 
       (5*t[77])/12 - (65*t[78])/12 + (23*t[80])/6 + (3*t[81])/8 - 
       (7*t[82])/8 + t[83]/3 - (277*t[84])/96 + t[85]/96 - (3*t[86])/2 - 
       (1297*t[87])/96 - (1457*t[88])/192 - (381*t[89])/64 + (3*t[95])/2 + 
       (13*t[96])/6 + (3*t[97])/2 + 26*t[98] - 23*t[99] - (3*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
      ((59*t[2])/16 - (39*t[3])/2 - (143*t[4])/48 - (4051*t[5])/96 + 
       (493*t[6])/12 + (227*t[7])/24 + (2839*t[8])/24 + (859*t[9])/32 + 
       (271*t[10])/96 - (301*t[11])/6 - (7*t[12])/2 - (3263*t[13])/144 + 
       (6985*t[14])/192 + (20135*t[15])/1728 + (17*t[24])/12 - (22*t[28])/3 + 
       (17*t[29])/4 + 5*t[30] - 4*t[31] + t[32]/4 + t[33]/6 - 8*t[35] + 
       3*t[36] + t[37]/4 + 6*t[40] - (3*t[41])/8 + (3*t[42])/8 - 
       (3*t[43])/8 - (31*t[44])/3 - t[46]/2 + t[47]/4 + (35*t[48])/4 - 
       (155*t[49])/96 + (13*t[50])/6 + (107*t[51])/192 - (13*t[52])/6 + 
       (155*t[53])/96 + (685*t[54])/16 - (3*t[59])/4 - (677*t[60])/16 + 
       (1715*t[61])/48 + (1137*t[62])/32 + (5461*t[63])/96 - 
       (3059*t[64])/96 + (2275*t[65])/36 + (4981*t[66])/36 - 4*t[72] - 
       5*t[73] + (3*t[74])/4 - 5*t[75] - 12*t[76] - t[77]/4 + (3*t[78])/4 + 
       5*t[79] - 2*t[80] - (7*t[81])/8 + (23*t[82])/24 + (23*t[83])/6 + 
       (11*t[84])/2 + (221*t[85])/48 - (107*t[86])/6 + (145*t[87])/16 + 
       (145*t[88])/32 + (4327*t[89])/96 - t[95]/2 + 3*t[99] - t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]^5*((43*t[2])/48 - (19*t[3])/12 + 
       (11*t[4])/48 - (9*t[5])/16 - (79*t[6])/48 + (19*t[7])/8 - 
       (69*t[8])/16 + (17*t[9])/6 + (7*t[10])/96 + (11*t[11])/6 - 
       (7*t[12])/96 + (61*t[13])/144 + (1523*t[14])/576 - (31*t[15])/864 - 
       t[20]/3 - (2*t[28])/3 - (5*t[29])/12 - (5*t[30])/8 - (13*t[32])/24 + 
       (5*t[33])/24 - t[34]/3 - t[35]/2 - (3*t[44])/4 - (19*t[48])/12 + 
       (7*t[49])/96 + (43*t[50])/48 - (7*t[51])/192 - (43*t[52])/48 - 
       (7*t[53])/96 - (5*t[54])/3 - (43*t[59])/120 + (55*t[60])/16 + 
       (23*t[61])/24 - (85*t[62])/32 - (137*t[63])/96 - (53*t[64])/12 - 
       (133*t[65])/48 - (275*t[66])/48 - t[73]/4 + t[74]/4 - (5*t[75])/4 + 
       t[79]/4 + t[81]/8 - t[82]/8 + (5*t[83])/3 + (41*t[84])/48 + 
       (23*t[85])/24 + (7*t[86])/12 - (25*t[87])/16 - (25*t[88])/32 + 
       (11*t[89])/32 - t[100]/2)*\[Zeta][2] + HPL[{1}, 1 - u]^5*
      ((-11*t[3])/16 - (139*t[5])/96 + (73*t[6])/48 + (2*t[7])/3 + 
       (205*t[8])/48 + (71*t[9])/32 + (5*t[10])/48 - (13*t[11])/8 - 
       (5*t[12])/96 - (23*t[13])/48 + (685*t[14])/288 - (95*t[15])/1728 - 
       (5*t[28])/12 + (5*t[29])/16 - (3*t[30])/4 - (59*t[44])/48 - t[48]/6 - 
       t[50]/48 + t[52]/48 + (73*t[54])/48 + (5*t[60])/3 + (5*t[61])/8 + 
       (109*t[62])/96 - (5*t[63])/96 - (145*t[64])/48 + (31*t[65])/144 + 
       (325*t[66])/144 - t[73]/4 - (5*t[75])/4 + t[79]/4 + (17*t[83])/12 + 
       (13*t[84])/16 + (13*t[85])/16 - (5*t[86])/12 - (5*t[87])/3 - 
       (5*t[88])/6 + (13*t[89])/8 - t[100]/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*((863*t[2])/96 + (11*t[3])/16 - 
       (415*t[4])/32 - (1163*t[5])/192 - (493*t[6])/48 + (1615*t[7])/48 - 
       (113*t[8])/8 + (6881*t[9])/192 - (1255*t[10])/192 - (11*t[11])/6 + 
       (301*t[12])/96 - (847*t[13])/96 + (13045*t[14])/1152 - 
       (3703*t[15])/1152 + (7*t[24])/8 - (17*t[28])/12 + (77*t[29])/16 - 
       t[30]/4 + (121*t[32])/24 - 2*t[33] + t[34] + 2*t[35] + (9*t[36])/2 - 
       t[37]/8 - (5*t[41])/16 + (5*t[42])/16 + (15*t[43])/16 - 
       (17*t[44])/48 - t[46]/4 + (3*t[47])/8 - (161*t[48])/24 - 
       (195*t[49])/64 + (613*t[50])/48 + (195*t[51])/128 - (613*t[52])/48 + 
       (195*t[53])/64 - (485*t[54])/96 - (23*t[59])/24 + (499*t[60])/96 - 
       (419*t[61])/96 - (3377*t[62])/192 + (2345*t[63])/192 - 
       (663*t[64])/64 - (385*t[65])/48 + (103*t[66])/16 + (3*t[73])/4 - 
       (11*t[74])/8 - (17*t[75])/4 - (19*t[77])/8 - (11*t[78])/8 - 
       (7*t[79])/4 + 4*t[80] - (33*t[81])/16 + (23*t[82])/16 + (31*t[83])/6 - 
       (5*t[84])/48 + (17*t[85])/96 + (76*t[86])/3 - (511*t[87])/96 - 
       (463*t[88])/192 - (1091*t[89])/192 + t[95]/4 + (3*t[99])/2 + t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
      ((11*t[2])/24 + (51*t[3])/32 + t[4]/2 + (10*t[5])/3 - (181*t[6])/48 - 
       (31*t[7])/16 - (347*t[8])/48 - (5*t[9])/48 + (19*t[10])/24 + 
       (167*t[11])/48 - (43*t[12])/48 + (115*t[13])/96 - (5*t[14])/2 - 
       (485*t[15])/1728 + (11*t[28])/6 + (13*t[29])/24 + (25*t[30])/24 + 
       (5*t[32])/6 + t[33]/8 - (7*t[34])/12 - 2*t[35] - (5*t[44])/24 + 
       (13*t[48])/24 + t[49]/4 + t[50]/2 - t[51]/8 - t[52]/2 - t[53]/4 - 
       (205*t[54])/48 - (5*t[59])/24 - (23*t[60])/24 - (85*t[61])/24 + 
       (203*t[62])/48 + (103*t[63])/48 - 4*t[64] - (323*t[65])/144 - 
       (167*t[66])/48 + t[73]/2 + t[74]/3 + (5*t[75])/2 + t[79]/2 + t[81]/3 - 
       t[82]/3 - (17*t[83])/6 - (91*t[84])/48 - (67*t[85])/48 - 
       (25*t[86])/6 - (33*t[87])/16 - (151*t[88])/96 - (55*t[89])/48 + 
       (4*t[95])/3 + (5*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - w]*((-3*t[2])/8 + (103*t[3])/32 + t[4]/2 + (10*t[5])/3 + 
       (53*t[6])/48 - (127*t[7])/16 + (277*t[8])/48 - (233*t[9])/48 - 
       (11*t[10])/24 - (43*t[11])/48 + (5*t[12])/48 + (37*t[13])/32 - 
       (101*t[14])/24 - (2081*t[15])/1728 + (5*t[28])/6 + (55*t[29])/24 - 
       (35*t[30])/24 + t[32]/12 + t[33]/8 - (7*t[34])/12 - (35*t[44])/24 + 
       (35*t[48])/12 + t[49]/4 - (25*t[50])/8 - t[51]/8 + (25*t[52])/8 - 
       t[53]/4 + (29*t[54])/48 - t[59]/24 - (77*t[60])/24 - (205*t[61])/24 + 
       (283*t[62])/48 - (185*t[63])/48 + (11*t[64])/2 + (485*t[65])/144 + 
       (35*t[66])/16 + t[73]/2 - (2*t[74])/3 + (5*t[75])/2 - t[79]/2 + 
       t[81]/3 - t[82]/3 - (17*t[83])/6 - (91*t[84])/48 - (67*t[85])/48 + 
       (5*t[86])/6 - (25*t[87])/16 - (127*t[88])/96 + (35*t[89])/48 + 
       (4*t[95])/3 + (5*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v]*((-533*t[2])/48 + (41*t[3])/12 - (209*t[4])/144 - 
       (35*t[5])/18 - (787*t[6])/144 + (8*t[7])/3 - (35*t[8])/16 - 
       (323*t[9])/48 - (169*t[10])/288 + (221*t[11])/72 + (295*t[12])/288 - 
       (94*t[13])/27 - (7417*t[14])/1728 + (701*t[15])/216 - (4*t[24])/9 + 
       (27*t[29])/4 + (15*t[30])/8 + (21*t[32])/8 - (257*t[33])/72 - 
       4*t[34] + (11*t[35])/2 - (9*t[44])/4 - (29*t[48])/36 - 
       (89*t[49])/288 + (529*t[50])/144 + (41*t[51])/576 - (529*t[52])/144 + 
       (89*t[53])/288 - (313*t[54])/72 + (39*t[59])/8 - (2107*t[60])/144 + 
       (41*t[61])/9 - (791*t[62])/288 + (7271*t[63])/288 - (347*t[64])/144 + 
       (517*t[65])/432 + (7883*t[66])/432 + 2*t[69] - t[70] + t[71] + 
       (7*t[73])/4 - (7*t[74])/4 - (21*t[75])/4 - (7*t[79])/4 - (7*t[81])/8 + 
       (119*t[82])/72 + (5*t[83])/2 - (79*t[84])/16 - (223*t[85])/36 + 
       (13*t[86])/4 - (467*t[87])/144 - (467*t[88])/288 - (1187*t[89])/288 + 
       3*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*((-35*t[3])/32 + t[4]/8 - (11*t[5])/48 + (19*t[6])/6 - 
       (61*t[7])/16 + (331*t[8])/48 + (17*t[9])/24 + (11*t[10])/48 - 
       (83*t[11])/24 - (7*t[12])/48 + (17*t[13])/96 - (175*t[14])/96 - 
       (857*t[15])/1728 + (11*t[28])/6 + (19*t[29])/24 + (13*t[30])/24 + 
       (5*t[32])/6 + t[33]/8 + (5*t[34])/12 - (4*t[44])/3 + (95*t[48])/48 + 
       t[49]/16 - (33*t[50])/16 - t[51]/32 + (33*t[52])/16 - t[53]/16 + 
       (73*t[54])/24 - t[59]/24 + (61*t[60])/24 - (65*t[61])/12 + 
       (29*t[62])/6 - (151*t[63])/24 + (27*t[64])/16 + (397*t[65])/144 + 
       (145*t[66])/48 + t[73]/2 - t[74]/6 + (5*t[75])/2 - t[79]/2 + 
       t[81]/12 - t[82]/12 - (10*t[83])/3 + (29*t[84])/48 + (35*t[85])/48 - 
       (7*t[86])/6 + (25*t[87])/16 + (71*t[88])/96 + (155*t[89])/48 + 
       t[95]/3 + 4*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((-5*t[2])/4 - (27*t[3])/8 + (5*t[4])/3 + 
       (5*t[5])/12 - (27*t[6])/4 - (35*t[8])/3 + (7*t[9])/3 + (25*t[10])/12 + 
       (79*t[11])/12 - t[12] - (55*t[13])/72 + (103*t[14])/36 - 
       (269*t[15])/432 - (13*t[24])/6 - (2*t[28])/3 - (5*t[29])/6 - 
       (41*t[30])/6 + t[32]/3 - (8*t[33])/3 - (7*t[34])/3 - 2*t[35] - 
       (29*t[44])/6 - (5*t[48])/3 - t[49]/6 + (13*t[50])/6 + (7*t[51])/12 - 
       (13*t[52])/6 + t[53]/6 - (113*t[54])/12 + (5*t[59])/6 - (15*t[60])/2 + 
       (13*t[61])/6 + (47*t[62])/12 + (77*t[63])/4 - (65*t[64])/6 - 
       (35*t[65])/12 + (145*t[66])/36 - 2*t[73] + t[74]/3 - 10*t[75] + 
       3*t[79] + t[81]/3 - t[82]/6 + (20*t[83])/3 - (13*t[84])/12 - 
       (7*t[85])/4 - (35*t[86])/3 - (25*t[87])/12 - (41*t[88])/24 + t[89]/4 + 
       (4*t[95])/3 + 4*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^3*((29*t[2])/16 - (19*t[3])/16 - (5*t[4])/48 - 
       (17*t[5])/8 + (7*t[6])/16 + (55*t[7])/24 - (65*t[8])/48 + 
       (19*t[9])/4 + (37*t[10])/32 - (43*t[11])/24 - (13*t[12])/96 - 
       (19*t[13])/9 + (1363*t[14])/576 + (1175*t[15])/864 - t[24]/12 - 
       (11*t[28])/12 - (11*t[29])/16 - t[30]/4 - t[32]/4 - (5*t[33])/6 - 
       t[37]/4 - t[41]/8 + t[42]/8 - t[43]/8 + (13*t[44])/48 - t[47]/4 - 
       (19*t[48])/12 - (17*t[49])/96 + (13*t[50])/16 + (41*t[51])/192 - 
       (13*t[52])/16 + (17*t[53])/96 + (19*t[54])/24 - t[59]/4 - 
       (125*t[60])/48 + (47*t[61])/48 - (89*t[62])/48 + (15*t[63])/16 - 
       (17*t[64])/32 + (35*t[65])/144 + (275*t[66])/48 - t[73]/4 + 
       (5*t[74])/4 - (5*t[75])/4 + t[77]/4 + t[78]/4 + t[79]/4 - 
       (5*t[81])/8 + (5*t[82])/24 + (5*t[83])/3 + (5*t[84])/16 + 
       (19*t[85])/24 + t[86]/12 + (65*t[87])/48 + (65*t[88])/96 + 
       (49*t[89])/96 + t[95]/2 + 3*t[99] + 4*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*((-37*t[2])/32 + (49*t[3])/8 + 
       (181*t[4])/96 + (1069*t[5])/192 + (143*t[6])/24 - (293*t[7])/16 + 
       (465*t[8])/16 - (109*t[9])/64 + (323*t[10])/192 - (161*t[11])/24 - 
       (167*t[12])/48 + (149*t[13])/96 - (2953*t[14])/1152 - 
       (1777*t[15])/384 + (17*t[24])/24 - (3*t[28])/2 + (25*t[29])/4 - 
       8*t[30] + t[31] - (3*t[32])/8 - (5*t[33])/12 + 2*t[35] + t[36]/2 + 
       t[37]/8 - (3*t[40])/2 - (3*t[41])/16 + (3*t[42])/16 - (7*t[43])/16 - 
       (85*t[44])/8 - t[46]/4 - (3*t[47])/8 + (235*t[48])/24 + 
       (49*t[49])/192 - (275*t[50])/24 - (97*t[51])/384 + (275*t[52])/24 - 
       (49*t[53])/192 + (559*t[54])/96 - (3*t[59])/8 + (1973*t[60])/96 - 
       (2449*t[61])/96 + (2779*t[62])/192 - (6163*t[63])/192 + 
       (3209*t[64])/192 - (433*t[65])/72 - (439*t[66])/72 + t[72] - t[73] + 
       (11*t[74])/8 - 3*t[75] + 3*t[76] + (3*t[77])/8 + (3*t[78])/8 + t[79] - 
       2*t[80] - (15*t[81])/16 + (47*t[82])/48 + (19*t[83])/4 + (7*t[84])/2 + 
       (413*t[85])/96 - (15*t[86])/4 - (1481*t[87])/96 - (1481*t[88])/192 + 
       (1603*t[89])/192 - t[95]/4 + (9*t[99])/2 + 6*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*((-29*t[2])/96 - 9*t[3] + 
       (1291*t[4])/96 + (289*t[5])/192 + (253*t[6])/48 - (899*t[7])/48 - 
       (79*t[8])/24 + (131*t[9])/64 + (1553*t[10])/192 + (127*t[11])/24 - 
       (397*t[12])/96 + (2257*t[13])/288 + (8581*t[14])/1152 + 
       (1081*t[15])/1152 - t[20]/12 + (3*t[24])/8 + (4*t[28])/3 + 
       (11*t[29])/6 - (107*t[30])/24 - (47*t[32])/12 + (59*t[33])/24 + 
       (23*t[34])/12 - (5*t[35])/2 - (9*t[36])/2 - (3*t[37])/8 + t[41]/16 - 
       t[42]/16 - (19*t[43])/16 - (47*t[44])/8 + t[46]/4 - (7*t[47])/8 + 
       t[48]/2 + (647*t[49])/192 - (389*t[50])/48 - (647*t[51])/384 + 
       (389*t[52])/48 - (647*t[53])/192 + (25*t[54])/32 - t[59] + 
       (3431*t[60])/96 - (455*t[61])/32 + (711*t[62])/64 - (2143*t[63])/64 - 
       (2101*t[64])/64 - (1045*t[65])/48 - (3605*t[66])/144 - (5*t[73])/4 + 
       (33*t[74])/8 + (7*t[75])/4 + (23*t[77])/8 + (15*t[78])/8 + 
       (5*t[79])/4 - 4*t[80] + (23*t[81])/16 - (33*t[82])/16 - 
       (31*t[83])/12 + (81*t[84])/16 + (553*t[85])/96 - (139*t[86])/6 - 
       (781*t[87])/32 - (765*t[88])/64 + (1285*t[89])/192 + (3*t[95])/4 + 
       (9*t[99])/2 + 7*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(2*t[1] + 18*t[2] - (15*t[3])/8 - (19*t[4])/6 + 
       (151*t[5])/12 - (21*t[6])/2 + (7*t[7])/4 + (323*t[8])/12 + 
       (151*t[9])/6 + (533*t[10])/12 + (38*t[11])/3 + (43*t[12])/4 - 
       (209*t[13])/8 + (2785*t[14])/72 + (14879*t[15])/432 + (32*t[24])/3 - 
       (10*t[28])/3 + (17*t[29])/6 - (67*t[30])/6 + 4*t[31] - (22*t[32])/3 - 
       (17*t[33])/6 + (19*t[34])/3 + 8*t[35] - 6*t[37] - 2*t[38] + 6*t[39] - 
       10*t[40] - t[41] + t[42] - 3*t[43] - (79*t[44])/6 - 14*t[45] + 
       8*t[47] + (53*t[48])/12 + (173*t[49])/12 - (125*t[50])/12 - 
       (197*t[51])/24 + (221*t[52])/12 - (77*t[53])/12 - (25*t[54])/3 - 
       (17*t[59])/6 - (103*t[60])/2 + (59*t[61])/6 - (1151*t[62])/12 - 
       (53*t[63])/4 + (653*t[64])/6 - (977*t[65])/12 + (1259*t[66])/36 + 
       4*t[72] + 2*t[73] + (50*t[74])/3 - 14*t[75] + 30*t[76] + 10*t[77] - 
       22*t[78] - 6*t[79] + 20*t[80] - (25*t[81])/3 - (19*t[82])/3 + 
       (82*t[83])/3 - (539*t[84])/12 - (79*t[85])/4 + (50*t[86])/3 - 
       (317*t[87])/12 - (361*t[88])/24 - (147*t[89])/4 + (20*t[95])/3 + 
       12*t[96] + 10*t[97] + 192*t[98] - 120*t[99] + 8*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((3*t[1])/2 + 22*t[2] - (333*t[3])/8 - (211*t[4])/24 + (325*t[5])/24 - 
       (139*t[6])/48 + (99*t[7])/8 + (455*t[8])/8 + (371*t[9])/8 + 
       (5215*t[10])/48 + (1825*t[11])/48 + (2903*t[12])/48 + 
       (5167*t[13])/144 + (17527*t[14])/288 + (3383*t[15])/144 + 2*t[18] - 
       2*t[19] + 6*t[21] - 2*t[22] - 2*t[23] - (61*t[24])/3 + 3*t[25] - 
       t[26] + 9*t[27] + 16*t[28] - (21*t[29])/2 - 11*t[30] + 2*t[31] + 
       13*t[32] + (23*t[33])/3 - 5*t[34] - 8*t[35] - 8*t[36] + 6*t[37] + 
       5*t[39] - 14*t[40] - t[41]/2 + t[42]/2 + (7*t[43])/8 + (21*t[44])/4 + 
       (71*t[45])/4 + 3*t[46] - (41*t[47])/2 - (719*t[48])/48 - 
       (361*t[49])/48 - (131*t[50])/48 - (629*t[51])/96 + (707*t[52])/48 + 
       (409*t[53])/48 + (829*t[54])/48 - 6*t[57] + (15*t[59])/2 + 
       (188*t[60])/3 + (655*t[61])/6 - (391*t[62])/3 - (44*t[63])/3 - 
       (1127*t[64])/12 + (905*t[65])/18 - (961*t[66])/9 + 2*t[70] - 2*t[71] - 
       4*t[73] - 18*t[74] + 2*t[75] - 2*t[76] + 4*t[77] - 4*t[78] - 8*t[79] - 
       42*t[80] + 5*t[81] - (32*t[82])/3 + 24*t[83] + (7*t[84])/2 + 
       (14*t[85])/3 + 62*t[86] - (8*t[87])/3 + (53*t[88])/3 + (55*t[89])/6 - 
       8*t[95] - 4*t[96] + 3*t[97] - 24*t[98] - 28*t[99] + 8*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-11*t[1])/2 + (63*t[2])/2 - (15*t[3])/8 - (221*t[4])/3 + 
       (2909*t[5])/48 + (1007*t[6])/48 + (59*t[7])/8 + (349*t[8])/8 - 
       (281*t[9])/16 + (73*t[10])/3 - (2867*t[11])/48 + (1409*t[12])/48 - 
       (649*t[13])/144 - (3251*t[14])/72 - (4343*t[15])/288 + 2*t[19] + 
       2*t[20] + 2*t[21] - 2*t[22] - 2*t[23] - (28*t[24])/3 + t[25] + 
       7*t[26] + 11*t[27] - 6*t[28] - 5*t[30] - 4*t[31] + 15*t[32] - 
       (10*t[33])/3 - 3*t[34] + 2*t[35] + 2*t[36] + 20*t[37] - 6*t[38] - 
       9*t[39] - (3*t[40])/2 + (5*t[41])/2 - (5*t[42])/2 - (9*t[43])/4 + 
       10*t[44] + (27*t[45])/4 - 8*t[46] - (19*t[47])/2 + (235*t[48])/48 - 
       (161*t[49])/24 - (401*t[50])/48 + (133*t[51])/24 + (737*t[52])/48 + 
       (257*t[53])/24 + (1597*t[54])/48 + (11*t[59])/2 - (731*t[60])/24 - 
       (1817*t[61])/24 + (6197*t[62])/48 + (1843*t[63])/48 + 
       (3967*t[64])/48 + (947*t[65])/72 + (6109*t[66])/72 + 4*t[69] + 
       4*t[70] - 4*t[71] + 12*t[72] - 2*t[73] + 6*t[74] - 22*t[75] + t[76] - 
       8*t[77] - 17*t[78] + 15*t[79] - 33*t[80] - 11*t[81] + (94*t[82])/3 - 
       24*t[83] - (177*t[84])/8 + (409*t[85])/24 - (119*t[86])/2 + 
       (23*t[87])/24 + (887*t[88])/48 + (347*t[89])/48 - 4*t[95] - 4*t[96] + 
       3*t[97] - 24*t[98] - 28*t[99] + 8*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*((-221*t[2])/48 - (95*t[3])/12 + 
       (95*t[4])/48 - (1709*t[5])/96 - t[6]/4 + (33*t[7])/8 + (61*t[8])/8 + 
       (1207*t[9])/96 + (601*t[10])/96 - (3*t[11])/2 + (16*t[12])/3 - 
       (409*t[13])/144 + (743*t[14])/192 + (7169*t[15])/1728 - (5*t[20])/3 - 
       4*t[23] - (55*t[24])/12 - (7*t[28])/3 - (7*t[29])/3 - (5*t[30])/2 + 
       4*t[31] - (61*t[32])/12 + (11*t[33])/6 - (5*t[34])/3 + 16*t[35] - 
       3*t[36] - (5*t[37])/4 - t[41]/8 + t[42]/8 - t[43]/8 + (11*t[44])/4 + 
       t[46]/2 - (5*t[47])/4 - (49*t[48])/12 + (57*t[49])/32 - 
       (41*t[51])/64 - (57*t[53])/32 + (19*t[54])/16 + t[59]/4 - 
       (361*t[60])/48 + (169*t[61])/48 - (469*t[62])/32 + (151*t[63])/96 + 
       (117*t[64])/32 + (229*t[65])/36 - (61*t[66])/36 + 2*t[69] - t[70] + 
       t[71] - t[73] - (7*t[74])/4 - t[75] + (5*t[77])/4 + t[78]/4 - 
       4*t[79] + 2*t[80] + (7*t[81])/8 - (43*t[82])/24 + (77*t[83])/6 + 
       (11*t[84])/6 + (427*t[85])/48 + (121*t[86])/6 + (301*t[87])/48 + 
       (301*t[88])/96 + (313*t[89])/96 + t[95]/2 + 9*t[99] + 11*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      ((41*t[2])/8 - t[3] - (151*t[4])/24 + (17*t[5])/48 - (43*t[6])/12 - 
       (11*t[7])/2 - (5*t[8])/2 - (193*t[9])/16 + (211*t[10])/48 - 
       (61*t[11])/6 + (23*t[12])/12 - (38*t[13])/9 - (1193*t[14])/288 - 
       (487*t[15])/288 - (29*t[24])/6 + t[28] - t[32]/2 - (13*t[33])/3 - 
       t[36] - (3*t[37])/2 - t[41]/4 + t[42]/4 + t[43]/4 + t[44]/2 + 
       t[46]/2 - t[47]/2 - (11*t[48])/12 + (29*t[49])/48 + (19*t[50])/12 - 
       (65*t[51])/96 - (19*t[52])/12 - (29*t[53])/48 + (53*t[54])/24 - 
       t[59]/2 - (359*t[60])/24 - (269*t[61])/24 - (241*t[62])/48 - 
       (71*t[63])/48 + (49*t[64])/48 - (221*t[65])/36 + (419*t[66])/36 + 
       t[74]/2 + t[77]/2 + t[78]/2 - t[79] + 4*t[80] + (3*t[81])/4 + 
       (61*t[82])/12 + 2*t[83] - (11*t[84])/4 - (107*t[85])/24 + 2*t[86] + 
       (227*t[87])/24 + (227*t[88])/48 - (181*t[89])/48 + t[95] + 6*t[99] + 
       12*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      ((575*t[2])/96 - (119*t[3])/8 - (269*t[4])/96 - (2429*t[5])/192 - 
       (331*t[6])/24 + (349*t[7])/16 - (377*t[8])/16 + (1813*t[9])/64 + 
       (629*t[10])/192 + (91*t[11])/24 + (19*t[12])/48 - (1667*t[13])/288 + 
       (19937*t[14])/1152 + (2185*t[15])/384 - (7*t[24])/24 + t[28]/2 + 
       4*t[29] + t[30]/2 + (31*t[32])/8 - (14*t[33])/3 - t[36]/2 - 
       (9*t[37])/8 - (5*t[41])/16 + (5*t[42])/16 - t[43]/16 - (29*t[44])/8 + 
       t[46]/4 - (5*t[47])/8 - (125*t[48])/24 + (55*t[49])/192 + 
       (361*t[50])/24 - (7*t[51])/384 - (361*t[52])/24 - (55*t[53])/192 - 
       (959*t[54])/96 - (47*t[59])/24 + (35*t[60])/96 + (257*t[61])/96 - 
       (745*t[62])/64 + (2963*t[63])/192 - (5545*t[64])/192 - 
       (695*t[65])/72 - (169*t[66])/72 - t[73] + (5*t[74])/8 - 3*t[75] + 
       3*t[76] + (5*t[77])/8 + (5*t[78])/8 - t[79] + 2*t[80] + 
       (15*t[81])/16 - (67*t[82])/48 + (27*t[83])/4 + t[84]/2 + 
       (107*t[85])/96 + (7*t[86])/4 - (719*t[87])/96 - (719*t[88])/192 - 
       (1931*t[89])/192 + t[95]/4 + (15*t[99])/2 + 12*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*(-t[1] + (407*t[2])/48 - 
       (7*t[3])/6 - (1423*t[4])/144 - (1027*t[5])/288 + (755*t[6])/72 - 
       (565*t[7])/24 + (339*t[8])/8 - (269*t[9])/96 + (1423*t[10])/288 - 
       (1667*t[11])/72 - (13*t[12])/18 - (2909*t[13])/432 - 
       (8933*t[14])/1728 + (7685*t[15])/1728 + (19*t[24])/36 + 2*t[25] - 
       t[26] + t[29] - 2*t[30] - t[31] - (5*t[32])/4 - (29*t[33])/9 + t[34] - 
       (9*t[37])/4 - (3*t[38])/2 - t[39] - (9*t[41])/8 + (9*t[42])/8 - 
       t[43]/8 - (23*t[44])/4 + t[46] - (5*t[47])/4 + (619*t[48])/72 - 
       (1579*t[49])/288 - (653*t[50])/72 + (691*t[51])/576 + (653*t[52])/72 + 
       (715*t[53])/288 + (2297*t[54])/144 - t[59] + (193*t[60])/144 - 
       (3533*t[61])/144 + (3587*t[62])/288 - (4379*t[63])/288 + 
       (7789*t[64])/288 + (457*t[65])/54 + (4357*t[66])/108 + t[72] + 
       (25*t[74])/4 - (9*t[76])/2 + t[77]/4 + (43*t[78])/4 + 8*t[80] - 
       (25*t[81])/8 + (343*t[82])/72 - t[83] + (19*t[84])/4 - 
       (347*t[85])/144 + (7*t[86])/2 + (1247*t[87])/144 + (1103*t[88])/288 + 
       (2039*t[89])/288 + (5*t[95])/2 - 3*t[96] - (3*t[97])/2 - 24*t[98] + 
       39*t[99] + 12*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*((-177*t[2])/8 + (299*t[3])/48 + (1583*t[4])/72 - 
       (1559*t[5])/288 + (425*t[6])/144 - (27*t[7])/4 + (2641*t[8])/48 + 
       (105*t[9])/32 + (97*t[10])/36 + (475*t[11])/36 - (6227*t[12])/288 - 
       (2821*t[13])/432 + (1399*t[14])/216 + (169*t[15])/576 + 
       (25*t[24])/18 - (67*t[28])/12 - (27*t[29])/16 - (13*t[30])/4 + t[31] - 
       (17*t[32])/6 - (28*t[33])/9 + 2*t[35] - 2*t[36] + (7*t[37])/6 - 
       (3*t[40])/2 - (5*t[41])/12 + (5*t[42])/12 - (29*t[43])/12 - 
       (311*t[44])/48 - t[46] - (17*t[47])/6 + (587*t[48])/72 + 
       (971*t[49])/144 - (1505*t[50])/144 - (1307*t[51])/288 + 
       (1505*t[52])/144 - (971*t[53])/144 - (365*t[54])/144 - (5*t[59])/6 + 
       (1777*t[60])/72 + (47*t[61])/9 - (1703*t[62])/288 - (9433*t[63])/288 + 
       (3407*t[64])/72 + (3829*t[65])/432 + (3719*t[66])/432 + t[72] - 
       t[73]/4 + (37*t[74])/6 - (29*t[75])/4 + 3*t[76] + (17*t[77])/6 + 
       (5*t[78])/6 + t[79]/4 - 12*t[80] - (49*t[81])/12 + (301*t[82])/36 + 
       (34*t[83])/3 + (311*t[84])/48 + (1643*t[85])/144 + (49*t[86])/4 - 
       (1141*t[87])/72 - (1141*t[88])/144 + (1805*t[89])/144 - (7*t[95])/3 + 
       22*t[99] + 16*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((983*t[2])/48 - 13*t[3] - (4049*t[4])/144 - 
       (43*t[5])/36 - (3043*t[6])/144 + (95*t[7])/12 - (919*t[8])/16 + 
       (31*t[9])/16 + (3383*t[10])/288 - (2485*t[11])/72 + (3727*t[12])/288 - 
       (358*t[13])/27 + (623*t[14])/1728 + (169*t[15])/18 - (5*t[20])/3 - 
       t[23] - (13*t[24])/9 - (4*t[28])/3 + (17*t[29])/12 + (39*t[30])/8 + 
       t[31] - (125*t[32])/24 + (511*t[33])/72 - (5*t[34])/3 + (3*t[35])/2 + 
       2*t[36] - 5*t[37] - (3*t[41])/2 + (3*t[42])/2 + t[43]/2 + 
       (19*t[44])/4 + t[46] - t[47] - (557*t[48])/36 - (1073*t[49])/288 + 
       (2857*t[50])/144 + (1169*t[51])/576 - (2857*t[52])/144 + 
       (1073*t[53])/288 - (85*t[54])/72 - (25*t[59])/8 - (8371*t[60])/144 - 
       (259*t[61])/9 - (8279*t[62])/288 + (3767*t[63])/288 + 
       (3529*t[64])/144 - (3911*t[65])/432 + (5255*t[66])/432 - t[73]/4 - 
       (19*t[74])/4 - (29*t[75])/4 + 3*t[76] + t[77] + 3*t[78] - 
       (23*t[79])/4 + 12*t[80] + (53*t[81])/8 - (565*t[82])/72 + 
       (55*t[83])/3 - (377*t[84])/48 - (217*t[85])/36 + (119*t[86])/12 + 
       (4573*t[87])/144 + (4573*t[88])/288 - (4427*t[89])/288 - 2*t[95] + 
       24*t[99] + 20*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - v]*((43*t[2])/8 + (467*t[3])/48 - (73*t[4])/72 + 
       (1273*t[5])/288 + (401*t[6])/144 - (295*t[7])/12 + (1337*t[8])/48 - 
       (519*t[9])/32 + (139*t[10])/36 - (299*t[11])/36 - (275*t[12])/288 - 
       (2137*t[13])/432 - (1991*t[14])/216 - (1973*t[15])/1728 + t[20] - 
       (29*t[24])/18 + (7*t[28])/4 + (13*t[29])/16 + (11*t[30])/4 - 
       (7*t[32])/3 - (37*t[33])/9 + 2*t[35] - (5*t[37])/6 - (5*t[41])/12 + 
       (5*t[42])/12 - (5*t[43])/12 - (535*t[44])/48 - (5*t[47])/6 + 
       (323*t[48])/72 - (37*t[49])/144 - (1481*t[50])/144 + (61*t[51])/288 + 
       (1481*t[52])/144 + (37*t[53])/144 + (763*t[54])/144 - (5*t[59])/6 - 
       (767*t[60])/72 - (383*t[61])/18 + (1225*t[62])/288 - 
       (2473*t[63])/288 + (2051*t[64])/72 - (2603*t[65])/432 + 
       (12119*t[66])/432 + t[69] + (7*t[73])/4 + (25*t[74])/6 - 
       (21*t[75])/4 + (5*t[77])/6 + (5*t[78])/6 - (7*t[79])/4 - 
       (25*t[81])/12 + (121*t[82])/36 + (5*t[83])/2 - (265*t[84])/48 - 
       (661*t[85])/144 + (19*t[86])/12 - (397*t[87])/72 - (397*t[88])/144 + 
       (293*t[89])/144 + (5*t[95])/3 + 10*t[99] + 23*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      ((51*t[2])/4 - 5*t[3] - (9*t[4])/2 - (21*t[5])/4 - (7*t[6])/4 + 
       (7*t[7])/4 - (171*t[8])/4 + (107*t[9])/4 + 6*t[10] - 7*t[11] + 
       (15*t[12])/2 - (383*t[13])/72 + (19*t[14])/12 + (57*t[15])/8 + t[28] - 
       t[32] - t[33] - t[36] - 2*t[37] - t[41]/2 + t[42]/2 + t[46]/2 - 
       t[47] - (29*t[48])/4 - (11*t[49])/4 + (13*t[50])/4 + (13*t[51])/4 - 
       (13*t[52])/4 + (11*t[53])/4 - (5*t[54])/4 - t[59] - (23*t[60])/2 - 
       (31*t[61])/2 - (37*t[62])/4 - (3*t[63])/4 + (9*t[64])/2 - 
       (143*t[65])/12 + (39*t[66])/4 + 3*t[74] + t[77] + t[78] - t[79] + 
       4*t[80] - t[81]/2 - (15*t[82])/2 + 2*t[83] - (13*t[84])/4 + 2*t[85] + 
       t[86] + (7*t[87])/2 + (7*t[88])/4 - (9*t[89])/2 + 2*t[95] + 12*t[99] + 
       24*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      ((25*t[2])/4 + t[3] - (17*t[4])/12 - (29*t[5])/24 - t[6]/3 - 
       (7*t[7])/2 + t[8]/2 + (33*t[9])/8 + (137*t[10])/24 - (23*t[11])/3 - 
       (11*t[12])/6 - (235*t[13])/36 - (163*t[14])/144 + (511*t[15])/144 + 
       (2*t[24])/3 - t[32] - (7*t[33])/3 - t[37] - t[41]/2 + t[42]/2 - 
       t[43]/2 - t[44] - t[47] + t[48]/3 - (5*t[49])/24 - (5*t[50])/3 + 
       (5*t[51])/48 + (5*t[52])/3 + (5*t[53])/24 + (37*t[54])/12 - t[59] - 
       (73*t[60])/12 - (163*t[61])/12 - (47*t[62])/24 - (121*t[63])/24 + 
       (107*t[64])/24 - (44*t[65])/9 + (182*t[66])/9 + 5*t[74] + t[77] + 
       t[78] - (5*t[81])/2 + (11*t[82])/6 - t[84] - t[85]/12 - 2*t[86] + 
       (13*t[87])/12 + (13*t[88])/24 + (25*t[89])/24 + 2*t[95] + 12*t[99] + 
       24*t[100])*\[Zeta][2] + Ot[u, v, w]*((25*t[2])/4 + t[3] - 
       (13*t[4])/12 + (11*t[5])/24 - (2*t[6])/3 - (7*t[7])/2 + t[8]/2 + 
       (29*t[9])/8 + (133*t[10])/24 - (22*t[11])/3 - (13*t[12])/6 - 
       (239*t[13])/36 - (215*t[14])/144 + (731*t[15])/144 + (7*t[24])/3 - 
       t[32] - (2*t[33])/3 - t[37] - t[41]/2 + t[42]/2 - t[43]/2 - t[44] - 
       t[47] + (2*t[48])/3 - t[49]/24 - (4*t[50])/3 + t[51]/48 + 
       (4*t[52])/3 + t[53]/24 + (29*t[54])/12 - t[59] - (77*t[60])/12 - 
       (167*t[61])/12 - (43*t[62])/24 - (125*t[63])/24 + (103*t[64])/24 - 
       (40*t[65])/9 + (190*t[66])/9 + 5*t[74] + t[77] + t[78] - (5*t[81])/2 + 
       t[82]/6 - t[84] - (5*t[85])/12 - 2*t[86] + (17*t[87])/12 + 
       (17*t[88])/24 + (29*t[89])/24 + 2*t[95] + 12*t[99] + 24*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((5*t[2])/4 + (11*t[3])/2 + 2*t[4] + t[5] + (9*t[6])/4 - (23*t[7])/4 + 
       (121*t[8])/4 - (11*t[9])/2 + (21*t[10])/4 - (13*t[11])/2 - 
       (17*t[12])/2 - (493*t[13])/72 - (29*t[14])/24 + (47*t[15])/12 + 
       5*t[24] - t[28] - t[32] + t[36] - t[41]/2 + t[42]/2 - t[43] - 
       2*t[44] - t[46]/2 - t[47] + (21*t[48])/4 + t[49] - (25*t[50])/4 - 
       (13*t[51])/8 + (25*t[52])/4 - t[53] + (27*t[54])/4 - t[59] - t[60] - 
       9*t[61] + (11*t[62])/2 - (19*t[63])/2 + (23*t[64])/4 - (17*t[65])/12 + 
       (331*t[66])/12 + 7*t[74] + t[77] + t[78] + t[79] - 4*t[80] - 
       (9*t[81])/2 + (9*t[82])/2 - 2*t[83] + (5*t[84])/4 - (5*t[85])/2 - 
       5*t[86] - t[87] - t[88]/2 + (21*t[89])/4 + 2*t[95] + 12*t[99] + 
       24*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*(-2*t[1] - (235*t[2])/24 - (21*t[3])/4 + 
       (163*t[4])/24 - (1337*t[5])/48 + (437*t[6])/24 + (23*t[7])/2 + 
       (63*t[8])/2 + (743*t[9])/16 - (571*t[10])/48 - (137*t[11])/24 - 
       (361*t[12])/24 - (715*t[13])/72 + (4463*t[14])/288 - (125*t[15])/96 - 
       t[23] - t[24]/6 - (5*t[28])/2 + (7*t[29])/2 - t[30] + t[31] - t[32] - 
       (19*t[33])/6 + 3*t[34] + t[35] - (3*t[36])/2 + (5*t[37])/2 - t[38] - 
       3*t[39] + 2*t[40] - t[41]/2 + t[42]/2 - (3*t[43])/4 - 7*t[44] - 
       (3*t[46])/4 - 3*t[47] + (31*t[48])/6 - (17*t[49])/48 - (11*t[50])/6 - 
       (37*t[51])/96 + (23*t[52])/6 - (175*t[53])/48 + (265*t[54])/24 - 
       (4*t[59])/3 + (1439*t[60])/24 - (631*t[61])/24 + (1549*t[62])/48 + 
       (155*t[63])/48 - (2107*t[64])/48 + (1963*t[65])/72 + (2687*t[66])/72 + 
       (13*t[74])/2 + 3*t[75] - 8*t[76] - 2*t[77] + 8*t[78] + 4*t[79] - 
       12*t[80] - (9*t[81])/2 + (26*t[82])/3 - (13*t[83])/4 + (199*t[84])/8 + 
       (719*t[85])/24 + 10*t[86] - (881*t[87])/24 - (857*t[88])/48 + 
       (1063*t[89])/48 + t[95] - 6*t[96] - 4*t[97] - 48*t[98] + 48*t[99] + 
       27*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*(t[1] + (185*t[2])/8 - (3*t[3])/4 - (227*t[4])/24 + 
       (253*t[5])/48 - (26*t[6])/3 - (7*t[7])/2 - 46*t[8] - (39*t[9])/16 + 
       (179*t[10])/48 - (307*t[11])/12 + (167*t[12])/24 + (167*t[13])/36 - 
       (4483*t[14])/288 - (667*t[15])/96 - t[24]/6 + (9*t[28])/2 + 3*t[29] - 
       t[30]/2 - 2*t[31] + t[32]/2 + (13*t[33])/3 - 5*t[34] - 5*t[35] + 
       (3*t[36])/2 - (5*t[37])/2 + 2*t[38] + 3*t[40] - t[41]/2 + t[42]/2 + 
       (3*t[43])/4 + 2*t[44] + 7*t[45] + (3*t[46])/4 - 4*t[47] - 
       (251*t[48])/24 - (359*t[49])/48 + (121*t[50])/24 + (485*t[51])/96 - 
       (265*t[52])/24 + (359*t[53])/48 + (77*t[54])/12 - 3*t[59] - 
       (217*t[60])/24 - (571*t[61])/24 - (83*t[62])/48 - (2173*t[63])/48 - 
       (1039*t[64])/48 - (1133*t[65])/72 - (1717*t[66])/72 - 2*t[72] + 
       2*t[73] - (5*t[74])/2 + 3*t[75] - 7*t[76] + 6*t[78] - 4*t[79] + 
       2*t[80] + (7*t[81])/2 - (22*t[82])/3 - (33*t[83])/4 + (35*t[84])/8 - 
       (193*t[85])/24 - 10*t[86] + (499*t[87])/24 + (523*t[88])/48 + 
       (139*t[89])/48 + t[95] - t[97] - 48*t[98] + 48*t[99] + 27*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      (-3*t[1] + (59*t[2])/2 + (73*t[3])/6 - (761*t[4])/24 + (4649*t[5])/96 + 
       (1979*t[6])/48 - (1519*t[7])/24 + (4945*t[8])/48 - (1007*t[9])/32 + 
       (123*t[10])/8 - (865*t[11])/12 + (1961*t[12])/96 - (2525*t[13])/72 + 
       (841*t[14])/72 + (37307*t[15])/1728 - (4*t[18])/3 - (17*t[20])/12 + 
       t[22] + (49*t[24])/12 + (37*t[28])/6 + (173*t[29])/12 + (55*t[30])/8 + 
       8*t[31] - (107*t[32])/8 + (71*t[33])/8 + (187*t[34])/12 + 
       (29*t[35])/2 - (17*t[37])/12 - 6*t[38] - 4*t[39] - 5*t[40] - 
       (5*t[41])/24 + (5*t[42])/24 - (77*t[43])/24 - (121*t[44])/6 - 
       23*t[45] - (3*t[46])/2 + (175*t[47])/12 + (1117*t[48])/24 + 
       (219*t[49])/16 - (1415*t[50])/48 - (929*t[51])/96 + (2279*t[52])/48 - 
       (211*t[53])/16 + (1631*t[54])/48 - (29*t[59])/24 - (899*t[60])/12 - 
       (1651*t[61])/16 + (1759*t[62])/16 + (5435*t[63])/48 + 
       (4235*t[64])/96 + (1751*t[65])/144 + (28621*t[66])/144 + 2*t[69] + 
       2*t[70] - 2*t[71] + 8*t[72] - (17*t[73])/4 + (25*t[74])/3 + 
       (111*t[75])/4 + 19*t[76] + (17*t[77])/12 - (79*t[78])/12 + 
       (21*t[79])/4 + 12*t[80] - (71*t[81])/12 + (38*t[82])/3 - 
       (79*t[83])/6 - (1957*t[84])/48 - (217*t[85])/16 - (419*t[86])/12 - 
       (469*t[87])/24 - (1045*t[88])/48 - (191*t[89])/16 + (89*t[95])/6 + 
       2*t[96] + 3*t[97] + 132*t[98] - 109*t[99] + (69*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - u]*Omega2[v, w, u]*(12*t[2] - (9*t[3])/2 - 
       (38*t[4])/3 + (8*t[5])/3 - (59*t[6])/6 - 7*t[7] - 41*t[8] + 
       (7*t[9])/2 + (34*t[10])/3 - (133*t[11])/6 + (37*t[12])/6 - 
       (71*t[13])/6 - (187*t[14])/36 + (185*t[15])/18 + (8*t[24])/3 + 
       2*t[28] - 2*t[32] + (14*t[33])/3 - 2*t[36] - 4*t[37] - t[41] + t[42] + 
       t[46] - 2*t[47] - (23*t[48])/3 - t[49]/3 + (19*t[50])/3 + 
       (11*t[51])/12 - (19*t[52])/3 + t[53]/3 - (2*t[54])/3 - 2*t[59] - 
       (100*t[60])/3 - (100*t[61])/3 - (55*t[62])/3 - (23*t[63])/3 + 
       (149*t[64])/6 - (355*t[65])/18 + (397*t[66])/18 + 2*t[77] + 2*t[78] - 
       4*t[79] + 8*t[80] + 3*t[81] - (29*t[82])/3 + 7*t[83] - (15*t[84])/2 - 
       (13*t[85])/3 + 8*t[86] + (46*t[87])/3 + (23*t[88])/3 - (65*t[89])/6 + 
       24*t[99] + 36*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (-2*t[2] + (15*t[3])/2 + (19*t[4])/3 + t[5]/6 + (7*t[6])/6 - 4*t[7] + 
       24*t[8] + 11*t[9] + (41*t[10])/6 - (37*t[11])/6 - (83*t[12])/6 - 
       (98*t[13])/9 + (13*t[14])/18 + (211*t[15])/36 + (20*t[24])/3 - 
       2*t[28] - 2*t[32] + (2*t[33])/3 + 2*t[36] - t[41] + t[42] - 2*t[43] - 
       4*t[44] - t[46] - 2*t[47] + (16*t[48])/3 + (7*t[49])/6 - 
       (20*t[50])/3 - (4*t[51])/3 + (20*t[52])/3 - (7*t[53])/6 + 
       (10*t[54])/3 - 2*t[59] + (17*t[60])/3 - (61*t[61])/3 + (13*t[62])/6 - 
       (97*t[63])/6 + (82*t[64])/3 + (23*t[65])/18 + (607*t[66])/18 + 
       8*t[74] + 2*t[77] + 2*t[78] - 8*t[80] - 5*t[81] + (7*t[82])/3 - 
       t[83] + (3*t[84])/2 + (14*t[85])/3 - 4*t[86] - (35*t[87])/3 - 
       (35*t[88])/6 + (26*t[89])/3 + 24*t[99] + 36*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      (t[1] - (149*t[2])/6 - (919*t[3])/12 - 21*t[4] - (1481*t[5])/24 + 
       (535*t[6])/12 + 41*t[7] + (389*t[8])/4 + (2261*t[9])/24 + 
       (163*t[10])/4 - (317*t[11])/6 - (21*t[12])/8 - (523*t[13])/12 + 
       (4457*t[14])/72 - (149*t[15])/432 - 2*t[18] - (4*t[20])/3 + 2*t[22] - 
       4*t[23] - (19*t[24])/3 - (8*t[28])/3 + (10*t[29])/3 - (27*t[30])/2 + 
       4*t[31] + (46*t[32])/3 - (5*t[33])/2 + (32*t[34])/3 + 18*t[35] - 
       8*t[36] + 5*t[37] - 2*t[38] + 4*t[39] - (21*t[40])/2 + (5*t[41])/2 - 
       (5*t[42])/2 - t[43]/2 - (5*t[44])/2 - 5*t[45] + 4*t[47] + 18*t[48] + 
       (19*t[49])/3 + (47*t[50])/12 - (19*t[51])/6 + (121*t[52])/12 - 
       (19*t[53])/3 + (521*t[54])/12 + 4*t[59] + (188*t[60])/3 + 
       (7*t[61])/4 - (763*t[62])/12 - (195*t[63])/4 + (265*t[64])/24 + 
       (649*t[65])/36 + (1319*t[66])/36 + 4*t[69] + 6*t[70] - 6*t[71] + 
       2*t[72] - t[73] + 4*t[74] + 5*t[75] + 6*t[76] + 5*t[77] - 5*t[78] - 
       9*t[79] + 4*t[80] - 4*t[81] - (5*t[82])/3 + (53*t[83])/3 + 
       (227*t[84])/12 + (115*t[85])/4 + (103*t[86])/3 - (80*t[87])/3 + 
       (20*t[88])/3 + (389*t[89])/12 - 10*t[95] - 4*t[96] + 5*t[97] + 
       44*t[98] - 86*t[99] + 66*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (3*t[1] - (19*t[2])/4 - (619*t[3])/8 - (841*t[4])/24 - (121*t[5])/2 + 
       (857*t[6])/16 + (217*t[7])/6 + (2197*t[8])/12 + (571*t[9])/8 + 
       (625*t[10])/16 - (2939*t[11])/48 + (1051*t[12])/48 - 41*t[13] + 
       (24827*t[14])/288 + (3865*t[15])/432 - (7*t[24])/3 + t[26] - 2*t[27] - 
       (5*t[28])/3 + (9*t[29])/4 - 4*t[30] + (37*t[32])/2 - (7*t[33])/3 - 
       5*t[34] - 10*t[35] + 11*t[36] + 3*t[37] + 2*t[39] - (5*t[40])/2 + 
       (5*t[41])/2 - (5*t[42])/2 + (5*t[43])/2 - (173*t[44])/12 + 6*t[45] + 
       t[46]/2 - 2*t[47] + (749*t[48])/48 - (43*t[49])/48 - (61*t[50])/16 - 
       (17*t[51])/96 + (157*t[52])/16 + (235*t[53])/48 + (2825*t[54])/48 + 
       (11*t[59])/2 + (599*t[60])/24 + (1855*t[61])/24 - (2153*t[62])/48 - 
       (1565*t[63])/16 + (145*t[64])/16 + (793*t[65])/72 + (593*t[66])/8 + 
       4*t[70] - 4*t[71] - t[72] - 3*t[73] + 3*t[74] - 10*t[75] - t[76] - 
       t[77] - 23*t[78] - t[79] + 10*t[80] + t[82]/3 - (40*t[83])/3 + 
       (93*t[84])/8 - (29*t[85])/24 + (43*t[86])/3 + (145*t[87])/24 + 
       (1153*t[88])/48 + (2501*t[89])/48 - 10*t[95] + 2*t[96] + 8*t[97] + 
       44*t[98] - 86*t[99] + 66*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-5*t[1])/2 + (5*t[2])/4 - (77*t[3])/4 - (229*t[4])/6 + (133*t[5])/6 + 
       (139*t[6])/6 - 14*t[7] + (103*t[8])/2 - 12*t[9] - (53*t[10])/12 - 
       (373*t[11])/6 + (13*t[12])/6 - (1609*t[13])/36 + (127*t[14])/18 + 
       (103*t[15])/18 + (2*t[24])/3 + 2*t[25] - t[28] - 5*t[29] - 9*t[30] + 
       (25*t[32])/2 + (11*t[33])/3 - 2*t[34] - t[35] - t[36] + 3*t[37] - 
       2*t[38] - 3*t[39] + t[41]/2 - t[42]/2 + 2*t[43] - (9*t[44])/2 + 
       (11*t[45])/2 - (3*t[46])/2 - (17*t[47])/2 + (211*t[48])/12 - 
       (43*t[49])/12 - (59*t[50])/12 + (23*t[51])/12 + (119*t[52])/12 - 
       (5*t[53])/12 + (385*t[54])/12 + (13*t[59])/4 + (185*t[60])/12 - 
       (355*t[61])/12 + (145*t[62])/6 + (19*t[63])/3 - (1009*t[64])/24 + 
       (509*t[65])/18 + (746*t[66])/9 + 4*t[70] - 4*t[71] - t[72] - 4*t[73] + 
       t[74] + 2*t[75] - (33*t[76])/2 - 2*t[77] + 4*t[78] + 5*t[79] - 
       7*t[80] - (25*t[81])/2 + (53*t[82])/6 - (11*t[83])/2 + (37*t[84])/4 - 
       (25*t[85])/12 - 11*t[86] + (73*t[87])/12 + (577*t[88])/24 + 
       (307*t[89])/24 - 4*t[95] - 10*t[96] + t[97]/2 - 96*t[98] + 72*t[99] + 
       68*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*(3*t[1] + (15*t[2])/2 - (67*t[3])/2 + 
       (199*t[4])/12 - (647*t[5])/24 + (305*t[6])/12 - (27*t[7])/4 + 
       (281*t[8])/4 + (279*t[9])/8 + (677*t[10])/24 + (89*t[11])/6 - 
       (107*t[12])/6 + (185*t[13])/18 + (5825*t[14])/144 + (1061*t[15])/144 - 
       (10*t[24])/3 + 3*t[28] + t[29] - 9*t[30] - t[31] + (23*t[32])/2 + 
       (8*t[33])/3 - 15*t[34] - t[35] + t[36] - t[37] + t[38]/2 - t[39]/2 - 
       t[40] + 2*t[43] - (15*t[44])/2 + 9*t[45] + t[46]/2 - 4*t[47] + 
       (52*t[48])/3 + (157*t[49])/24 - (7*t[50])/6 + (5*t[51])/48 + 
       (25*t[52])/6 - (205*t[53])/24 + (85*t[54])/12 + 6*t[59] + 
       (161*t[60])/3 + (265*t[61])/6 - (1361*t[62])/24 - (1483*t[63])/24 - 
       (511*t[64])/6 + (433*t[65])/36 - (2347*t[66])/36 + 4*t[70] - 4*t[71] - 
       2*t[73] + t[74] + 2*t[75] - 14*t[76] - t[77] + 11*t[78] - 15*t[79] + 
       2*t[80] - 2*t[81] - (44*t[82])/3 + (11*t[83])/2 + 16*t[84] + 
       (11*t[85])/3 + 29*t[86] - (17*t[87])/3 + (103*t[88])/6 + 
       (425*t[89])/12 - 4*t[95] - 7*t[96] + t[97] - 96*t[98] + 72*t[99] + 
       68*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((75*t[2])/4 + 3*t[3] - (13*t[4])/4 + (11*t[5])/8 - 2*t[6] - 
       (21*t[7])/2 + (3*t[8])/2 + (87*t[9])/8 + (133*t[10])/8 - 22*t[11] - 
       (13*t[12])/2 - (239*t[13])/12 - (215*t[14])/48 + (731*t[15])/48 + 
       7*t[24] - 3*t[32] - 2*t[33] - 3*t[37] - (3*t[41])/2 + (3*t[42])/2 - 
       (3*t[43])/2 - 3*t[44] - 3*t[47] + 2*t[48] - t[49]/8 - 4*t[50] + 
       t[51]/16 + 4*t[52] + t[53]/8 + (29*t[54])/4 - 3*t[59] - (77*t[60])/4 - 
       (167*t[61])/4 - (43*t[62])/8 - (125*t[63])/8 + (103*t[64])/8 - 
       (40*t[65])/3 + (190*t[66])/3 + 15*t[74] + 3*t[77] + 3*t[78] - 
       (15*t[81])/2 + t[82]/2 - 3*t[84] - (5*t[85])/4 - 6*t[86] + 
       (17*t[87])/4 + (17*t[88])/8 + (29*t[89])/8 + 6*t[95] + 36*t[99] + 
       72*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((-3*t[1])/2 - (991*t[2])/24 + (167*t[3])/2 - 
       (169*t[4])/72 + (6911*t[5])/144 - (4051*t[6])/144 - (389*t[7])/12 - 
       71*t[8] - (1877*t[9])/48 - (1607*t[10])/144 + (2947*t[11])/144 + 
       (17*t[12])/9 + (5429*t[13])/216 - (20837*t[14])/864 - 
       (5075*t[15])/864 + (157*t[24])/18 - (10*t[27])/3 - 10*t[28] + 
       (20*t[29])/3 - (34*t[30])/3 + 8*t[31] - (193*t[32])/6 + 
       (218*t[33])/9 + 17*t[34] + 22*t[35] - 12*t[36] - (13*t[37])/6 - 
       (14*t[38])/3 - (10*t[39])/3 - (37*t[40])/6 - (7*t[41])/12 + 
       (7*t[42])/12 - t[43]/12 - (49*t[44])/6 - (131*t[45])/3 - t[46] + 
       (205*t[47])/6 - (2045*t[48])/144 + (4427*t[49])/144 - 
       (761*t[50])/144 - (3851*t[51])/288 + (3689*t[52])/144 - 
       (4043*t[53])/144 - (8417*t[54])/144 + (4*t[59])/3 - (3049*t[60])/36 - 
       (5377*t[61])/36 + (1213*t[62])/18 + (1415*t[63])/18 + (619*t[64])/9 - 
       (6127*t[65])/216 - (1229*t[66])/216 - (10*t[70])/3 + (10*t[71])/3 + 
       (14*t[72])/3 - 4*t[73] - (11*t[74])/6 + 8*t[75] + (68*t[76])/3 - 
       (11*t[77])/6 - (83*t[78])/2 - 8*t[79] + (194*t[80])/3 - 
       (61*t[81])/12 + (145*t[82])/36 + (29*t[83])/3 - (1357*t[84])/24 + 
       (323*t[85])/9 + (79*t[86])/3 - (1855*t[87])/18 - (2491*t[88])/36 - 
       (4037*t[89])/72 + (29*t[95])/3 + (16*t[96])/3 + 3*t[97] + 208*t[98] - 
       254*t[99] + 86*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(-10*t[2] - (193*t[3])/8 + (97*t[4])/3 - 
       (355*t[5])/6 - (65*t[6])/8 + (75*t[7])/4 - (1075*t[8])/12 - 
       (172*t[9])/3 + (14*t[10])/3 + (943*t[11])/24 + (29*t[12])/4 + 
       (325*t[13])/24 + (2167*t[14])/72 + (5813*t[15])/432 - 4*t[22] - 
       (16*t[24])/3 - (10*t[28])/3 - (133*t[29])/6 + (197*t[30])/6 + 
       4*t[31] + (20*t[32])/3 + (55*t[33])/6 + (25*t[34])/3 + 16*t[35] - 
       20*t[36] - 2*t[37] + 3*t[41] - 3*t[42] + 3*t[43] + (149*t[44])/6 + 
       4*t[46] - 2*t[47] - (911*t[48])/24 + (50*t[49])/3 + (641*t[50])/24 - 
       (25*t[51])/12 - (641*t[52])/24 - (50*t[53])/3 - (815*t[54])/24 + 
       t[59]/6 + (49*t[60])/4 + (445*t[61])/12 - (73*t[62])/24 + 
       (335*t[63])/8 - (3289*t[64])/24 - (113*t[65])/6 - (365*t[66])/18 + 
       8*t[69] + 4*t[72] - 50*t[73] - (106*t[74])/3 + 62*t[75] + 6*t[76] + 
       2*t[77] - 2*t[78] - 46*t[79] + 4*t[80] + (89*t[81])/3 - (97*t[82])/3 + 
       (160*t[83])/3 - (49*t[84])/6 + 14*t[85] - (46*t[86])/3 + 
       (83*t[87])/6 + (73*t[88])/12 - (137*t[89])/8 - (28*t[95])/3 - 
       32*t[99] + 87*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - w]*((373*t[2])/16 - (1349*t[3])/24 - 
       (1175*t[4])/16 + (2893*t[5])/32 + (569*t[6])/8 - (929*t[7])/8 + 
       (7133*t[8])/24 - (2189*t[9])/96 - (569*t[10])/32 - (2389*t[11])/24 - 
       (44*t[12])/3 - (4141*t[13])/144 - (12919*t[14])/576 - 
       (19015*t[15])/1728 + 2*t[20] - (35*t[24])/12 - (13*t[28])/3 + 
       (63*t[29])/4 - 25*t[30] + (473*t[32])/12 - (11*t[33])/3 - 2*t[34] - 
       2*t[35] + 16*t[36] + (101*t[37])/12 - 2*t[38] - 2*t[39] - 10*t[40] - 
       (43*t[41])/24 + (43*t[42])/24 + (101*t[43])/24 - (437*t[44])/12 + 
       8*t[45] - 2*t[46] - (43*t[47])/12 + (1663*t[48])/24 - (315*t[49])/32 - 
       (341*t[50])/8 + (385*t[51])/192 + (469*t[52])/8 + (155*t[53])/32 + 
       (837*t[54])/16 + (17*t[59])/12 + (3839*t[60])/48 - (6575*t[61])/48 + 
       (1779*t[62])/32 - (16465*t[63])/96 + (4197*t[64])/32 + 
       (1735*t[65])/36 - (27*t[66])/4 - 2*t[69] + 8*t[70] - 8*t[71] - 
       8*t[72] + 21*t[73] - t[74]/12 - 29*t[75] - 20*t[76] - (101*t[77])/12 + 
       (211*t[78])/12 + 19*t[79] - 4*t[80] - (863*t[81])/24 + 
       (289*t[82])/24 - (32*t[83])/3 + (193*t[84])/6 + (1039*t[85])/48 + 
       (93*t[86])/2 + (1001*t[87])/48 + (6473*t[88])/96 + (5353*t[89])/96 - 
       (77*t[95])/6 - 16*t[96] - 72*t[98] - 17*t[99] + 91*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      (4*t[1] - (133*t[2])/12 + (983*t[3])/24 + (211*t[4])/6 - (55*t[5])/24 - 
       (577*t[6])/24 - 22*t[7] + (71*t[8])/12 - (685*t[9])/24 - 
       (15*t[10])/4 - (19*t[11])/24 - (1049*t[12])/24 + (229*t[13])/36 - 
       (713*t[14])/12 - (5755*t[15])/216 - (8*t[20])/3 + 4*t[23] + 
       (17*t[24])/3 - (17*t[28])/3 + (19*t[29])/2 + (22*t[30])/3 - 12*t[31] + 
       (19*t[32])/3 - (14*t[33])/3 - (103*t[34])/3 - 36*t[35] + 7*t[36] + 
       3*t[37] + 8*t[38] + 12*t[40] - (47*t[44])/3 + 28*t[45] - (3*t[46])/2 - 
       19*t[47] + (79*t[48])/8 - (71*t[49])/4 - (75*t[50])/8 + (49*t[51])/4 - 
       (117*t[52])/8 + (71*t[53])/4 - t[54]/24 - (5*t[59])/3 + 
       (143*t[60])/4 - (13*t[61])/2 + (533*t[62])/24 - (2605*t[63])/24 + 
       (91*t[65])/6 + (47*t[66])/9 - 2*t[69] - 8*t[72] - 7*t[73] + 
       (29*t[74])/3 - t[75] - 28*t[76] - 3*t[77] + 14*t[78] + 14*t[79] - 
       30*t[80] - (71*t[81])/6 + (37*t[82])/6 - (46*t[83])/3 + (71*t[84])/3 - 
       (187*t[85])/12 - (86*t[86])/3 + (115*t[87])/3 + (64*t[88])/3 + 
       (613*t[89])/8 - (16*t[95])/3 - 4*t[97] - 192*t[98] + 186*t[99] + 
       91*t[100])*\[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (442*t[2] + 56*t[3] - 96*t[4] + 200*t[5] - 44*t[6] + 16*t[7] - 
       400*t[8] + 72*t[9] + 16*t[10] - 68*t[11] - 16*t[12] - (370*t[13])/9 + 
       (164*t[14])/3 - (2*t[15])/3 + 48*t[36] - 32*t[37] - 16*t[41] + 
       16*t[42] - 16*t[47] - 36*t[48] - 24*t[49] + 36*t[50] + 12*t[51] - 
       36*t[52] + 24*t[53] + 12*t[54] - 88*t[59] - 152*t[60] + 88*t[61] - 
       188*t[62] - 260*t[63] + 96*t[64] - (836*t[65])/3 - (256*t[66])/3 + 
       96*t[70] - 96*t[71] + 144*t[74] + 16*t[78] + 64*t[80] - 16*t[81] + 
       16*t[82] - 24*t[84] - 48*t[85] + 56*t[87] + 28*t[88] - 116*t[89] + 
       192*t[99] + 96*t[100])*\[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - u]*
      (-96*t[2] - 48*t[3] + 72*t[4] - 220*t[5] + 252*t[6] - 488*t[7] + 
       1256*t[8] - 292*t[9] + 108*t[10] - 228*t[11] - 40*t[12] - 
       (1028*t[13])/9 + (154*t[14])/3 + (406*t[15])/3 - 32*t[32] - 48*t[36] - 
       16*t[43] - 264*t[44] - 16*t[47] + 260*t[48] + 4*t[49] - 260*t[50] - 
       2*t[51] + 260*t[52] - 4*t[53] + 284*t[54] + 64*t[60] - 224*t[61] + 
       348*t[62] - 100*t[63] + 248*t[64] + (832*t[65])/3 + (2048*t[66])/3 + 
       48*t[74] + 32*t[77] + 16*t[78] - 64*t[80] - 80*t[81] + 80*t[82] + 
       16*t[84] - 24*t[85] - 64*t[86] - 80*t[87] - 40*t[88] + 232*t[89] + 
       192*t[99] + 96*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(-t[1] - (169*t[2])/48 - (671*t[3])/12 - 
       (5359*t[4])/144 - (8563*t[5])/288 + (4087*t[6])/144 - (715*t[7])/24 + 
       (1075*t[8])/8 + (3727*t[9])/96 + (1039*t[10])/288 - 
       (10195*t[11])/144 + (109*t[12])/9 - (17033*t[13])/432 + 
       (28807*t[14])/1728 - (3319*t[15])/1728 + (31*t[24])/36 + 2*t[25] - 
       3*t[28] + 2*t[29] - 11*t[30] + 2*t[31] + (69*t[32])/4 - (53*t[33])/9 - 
       2*t[34] + 9*t[35] + 3*t[36] + (11*t[37])/4 - 3*t[38] - (13*t[40])/2 + 
       (3*t[41])/8 - (3*t[42])/8 + (11*t[43])/8 - (41*t[44])/4 + 2*t[45] - 
       (3*t[46])/2 + (19*t[47])/4 + (4241*t[48])/144 - (2563*t[49])/288 - 
       (2083*t[50])/144 + (2467*t[51])/576 + (3235*t[52])/144 + 
       (835*t[53])/288 + (2911*t[54])/72 + (5*t[59])/4 + (11023*t[60])/144 - 
       (10811*t[61])/144 + (4025*t[62])/288 - (26561*t[63])/288 + 
       (20959*t[64])/288 + (6871*t[65])/216 + (13517*t[66])/216 + 4*t[70] - 
       4*t[71] + t[72] - 2*t[73] + (9*t[74])/4 + 2*t[75] - 9*t[76] + 
       t[77]/4 + (113*t[78])/4 + 5*t[79] + 2*t[80] - (13*t[81])/8 - 
       (149*t[82])/72 - (13*t[83])/2 + (167*t[84])/8 + (1339*t[85])/144 + 
       (45*t[86])/2 + (281*t[87])/144 + (5753*t[88])/288 + 
       (12881*t[89])/288 - (7*t[95])/2 - 10*t[96] + t[97] - 48*t[98] + 
       35*t[99] + 100*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*(2*t[1] + (331*t[2])/16 - (1441*t[3])/24 - 
       (1849*t[4])/144 - (181*t[5])/288 + (3673*t[6])/144 + (101*t[7])/24 + 
       (2045*t[8])/24 + (1643*t[9])/32 + (6121*t[10])/288 - 
       (6973*t[11])/144 - (229*t[12])/18 - (13529*t[13])/432 + 
       (45841*t[14])/1728 + (13523*t[15])/1728 + (91*t[24])/36 - t[28] + 
       (7*t[29])/2 - 7*t[30] - 2*t[31] + (229*t[32])/12 - (121*t[33])/18 + 
       2*t[34] + 5*t[35] - 3*t[36] + (31*t[37])/12 + t[38] - t[40] + 
       (7*t[41])/24 - (7*t[42])/24 + (7*t[43])/24 - (67*t[44])/6 + 7*t[45] + 
       t[46]/2 - (101*t[47])/12 + (4307*t[48])/144 + (347*t[49])/288 - 
       (649*t[50])/144 + (325*t[51])/576 + (937*t[52])/144 - 
       (347*t[53])/288 + (2437*t[54])/72 - (35*t[59])/12 + (6841*t[60])/144 - 
       (4769*t[61])/144 - (11653*t[62])/288 - (32387*t[63])/288 + 
       (4285*t[64])/288 + (3211*t[65])/216 + (9401*t[66])/216 + 4*t[70] - 
       4*t[71] + 3*t[72] + (109*t[74])/12 + 2*t[75] - 8*t[76] + 
       (53*t[77])/12 + (221*t[78])/12 - 5*t[79] + 2*t[80] - (97*t[81])/24 - 
       (623*t[82])/72 + (3*t[83])/2 + (305*t[84])/24 + t[85]/144 + 
       (169*t[86])/6 + (2219*t[87])/144 + (7979*t[88])/288 + 
       (12719*t[89])/288 - (19*t[95])/6 - 4*t[96] + 3*t[97] - 48*t[98] + 
       37*t[99] + 104*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-25*t[1])/2 - (283*t[2])/6 + (2569*t[3])/24 - 
       (101*t[4])/6 + (607*t[5])/12 - (1301*t[6])/48 - (139*t[7])/12 - 
       (332*t[8])/3 - (443*t[9])/8 - (863*t[10])/12 + (583*t[11])/16 + 
       (71*t[12])/3 + (5543*t[13])/216 - (577*t[14])/16 - (389*t[15])/27 - 
       (4*t[20])/3 + t[24] - (10*t[27])/3 + (43*t[29])/6 - 8*t[30] + 
       6*t[31] - (77*t[32])/3 + (5*t[33])/3 + (41*t[34])/3 - 2*t[35] + 
       12*t[36] + (44*t[37])/3 - (17*t[38])/3 + (17*t[39])/3 - (67*t[40])/6 - 
       t[41]/6 + t[42]/6 + (4*t[43])/3 - (25*t[44])/4 - 37*t[45] - t[46] + 
       39*t[47] - (1015*t[48])/48 + (131*t[49])/12 - (443*t[50])/48 - 
       (265*t[51])/24 + (1163*t[52])/48 - (49*t[53])/4 - (2381*t[54])/48 + 
       (49*t[59])/6 - (2951*t[60])/24 - (933*t[61])/8 + (2759*t[62])/48 + 
       (9049*t[63])/48 + (5213*t[64])/48 + (649*t[65])/72 + (3031*t[66])/72 - 
       (22*t[70])/3 + (22*t[71])/3 - 8*t[72] - 12*t[73] - 8*t[74] + 
       16*t[75] + (46*t[76])/3 - (40*t[77])/3 - (37*t[78])/3 - 44*t[79] + 
       6*t[80] - (4*t[81])/3 + 13*t[82] + (5*t[83])/3 - (357*t[84])/8 + 
       (313*t[85])/24 + 36*t[86] - (451*t[87])/8 - (3065*t[88])/48 - 
       (2297*t[89])/48 + 16*t[95] + (22*t[96])/3 - 3*t[97] + 112*t[98] - 
       168*t[99] + 108*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*(6*t[1] - (1377*t[2])/16 - (2489*t[3])/24 + 
       (233*t[4])/48 - (4675*t[5])/96 + (1837*t[6])/24 - (175*t[7])/24 + 
       (2741*t[8])/24 + (211*t[9])/32 + (397*t[10])/32 - (1031*t[11])/24 + 
       (119*t[12])/6 - (2875*t[13])/144 - (3517*t[14])/576 + 
       (15275*t[15])/1728 + (19*t[20])/3 - 2*t[22] + 4*t[23] - 
       (83*t[24])/12 + (20*t[28])/3 + (43*t[29])/6 - (29*t[30])/2 + 
       (147*t[32])/4 + 2*t[33] - (65*t[34])/3 + 8*t[35] - 16*t[36] + 
       (67*t[37])/12 + 4*t[38] - 8*t[39] + 7*t[40] + (67*t[41])/24 - 
       (67*t[42])/24 - (11*t[43])/24 + (65*t[44])/6 + (7*t[45])/2 + 2*t[46] + 
       (151*t[47])/12 + (1765*t[48])/24 + (159*t[49])/32 + (191*t[50])/24 - 
       (37*t[51])/192 - (191*t[52])/24 - (191*t[53])/32 + (2861*t[54])/48 + 
       (233*t[59])/12 + (709*t[60])/48 + (1421*t[61])/16 - (979*t[62])/32 - 
       (11663*t[63])/96 - (6847*t[64])/96 + (5339*t[65])/36 + 
       (2341*t[66])/36 + 4*t[70] - 4*t[71] - 8*t[72] + 21*t[73] - 
       (323*t[74])/12 - 25*t[75] - 22*t[76] + (77*t[77])/12 + 
       (293*t[78])/12 - t[79] - (133*t[81])/24 - (593*t[82])/24 - 
       (65*t[83])/3 + (59*t[84])/3 + (215*t[85])/16 - (19*t[86])/6 + 
       (1099*t[87])/48 + (6571*t[88])/96 + (2777*t[89])/32 - (67*t[95])/6 - 
       12*t[96] + 6*t[97] - 72*t[98] - 7*t[99] + 111*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*(7*t[1] - (287*t[2])/12 + 
       (445*t[3])/6 + (263*t[4])/36 + (2441*t[5])/72 - (6527*t[6])/144 - 
       (973*t[8])/12 - (469*t[9])/6 - (59*t[10])/72 + (1415*t[11])/144 - 
       (206*t[12])/9 + (52*t[13])/9 - (2330*t[14])/27 + (347*t[15])/18 + 
       (130*t[24])/9 - 4*t[25] + (8*t[27])/3 - 2*t[28] + (20*t[29])/3 + 
       (50*t[30])/3 + 4*t[31] - 19*t[32] + (157*t[33])/9 - 8*t[34] + 
       4*t[35] - 4*t[36] - 5*t[37] + (16*t[38])/3 - (22*t[39])/3 + 
       (59*t[40])/6 - t[41]/2 + t[42]/2 - t[43]/2 + 8*t[44] - (29*t[45])/3 - 
       t[46] + (28*t[47])/3 - (1033*t[48])/144 + (563*t[49])/72 + 
       (3803*t[50])/144 - (263*t[51])/144 - (4187*t[52])/144 - 
       (371*t[53])/72 - (7459*t[54])/144 - t[59] - (11287*t[60])/72 - 
       (5305*t[61])/72 + (6013*t[62])/144 + (15611*t[63])/144 + 
       (8999*t[64])/144 + (4441*t[65])/216 + (31607*t[66])/216 - 
       (10*t[70])/3 + (10*t[71])/3 - (16*t[72])/3 - 4*t[73] - (5*t[74])/3 + 
       4*t[75] - (7*t[76])/3 + 3*t[77] - (23*t[78])/3 + (98*t[80])/3 - 
       (121*t[81])/6 + (127*t[82])/18 + (20*t[83])/3 - (367*t[84])/8 - 
       (1057*t[85])/72 + (50*t[86])/3 + (1681*t[87])/72 - (1007*t[88])/144 - 
       (2765*t[89])/144 + (22*t[95])/3 + (22*t[96])/3 - 2*t[97] + 40*t[98] - 
       28*t[99] + 112*t[100])*\[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((125*t[2])/4 + 5*t[3] - (97*t[4])/12 - (265*t[5])/24 - (2*t[6])/3 - 
       (35*t[7])/2 + (5*t[8])/2 + (177*t[9])/8 + (697*t[10])/24 - 
       (118*t[11])/3 - (49*t[12])/6 - (1163*t[13])/36 - (659*t[14])/144 + 
       (1895*t[15])/144 - (5*t[24])/3 - 5*t[32] - (50*t[33])/3 - 5*t[37] - 
       (5*t[41])/2 + (5*t[42])/2 - (5*t[43])/2 - 5*t[44] - 5*t[47] + 
       (2*t[48])/3 - (37*t[49])/24 - (28*t[50])/3 + (37*t[51])/48 + 
       (28*t[52])/3 + (37*t[53])/24 + (209*t[54])/12 - 5*t[59] - 
       (353*t[60])/12 - (803*t[61])/12 - (247*t[62])/24 - (593*t[63])/24 + 
       (547*t[64])/24 - (232*t[65])/9 + (886*t[66])/9 + 25*t[74] + 5*t[77] + 
       5*t[78] - (25*t[81])/2 + (85*t[82])/6 - 5*t[84] + (7*t[85])/12 - 
       10*t[86] + (53*t[87])/12 + (53*t[88])/24 + (113*t[89])/24 + 10*t[95] + 
       60*t[99] + 120*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*(11*t[1] - 138*t[2] + (389*t[3])/8 + 
       (1583*t[4])/24 - (947*t[5])/24 + (1559*t[6])/48 + (45*t[7])/8 - 
       (47*t[8])/8 - (765*t[9])/8 - (4739*t[10])/48 + (1075*t[11])/48 - 
       (55*t[12])/48 + (261*t[13])/16 - (29603*t[14])/288 - 
       (6361*t[15])/144 + 4*t[21] - 4*t[23] - (13*t[24])/3 - 19*t[25] + 
       6*t[26] - 5*t[27] + 14*t[28] + (29*t[29])/2 + 19*t[30] - 10*t[31] - 
       7*t[32] + (71*t[33])/3 - 22*t[34] + 8*t[35] - 18*t[36] + 6*t[37] + 
       13*t[38] - t[39] + 2*t[40] + 9*t[41] - 9*t[42] + (29*t[43])/8 + 
       (99*t[44])/4 - (115*t[45])/4 + 3*t[46] + (115*t[47])/2 + 
       (1603*t[48])/48 + (701*t[49])/48 + (919*t[50])/48 - (575*t[51])/96 - 
       (919*t[52])/48 - (461*t[53])/48 - (377*t[54])/48 - 2*t[57] + t[58] + 
       (33*t[59])/2 - (616*t[60])/3 + (85*t[61])/6 + (383*t[62])/12 + 
       (997*t[63])/12 + (1639*t[64])/12 + (1369*t[65])/9 + (983*t[66])/9 - 
       4*t[70] + 4*t[71] - 10*t[72] - 4*t[73] - 50*t[74] + 10*t[75] + 
       13*t[76] + 3*t[77] - 40*t[78] + 8*t[79] + 36*t[80] + 20*t[81] - 
       (38*t[82])/3 + t[83] - 40*t[84] - (47*t[85])/6 + 76*t[86] + 
       (713*t[87])/6 + (497*t[88])/12 + (277*t[89])/6 - 4*t[95] + 12*t[96] - 
       t[97] + 72*t[98] - 196*t[99] + 122*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((57*t[2])/2 + (245*t[3])/8 - (167*t[4])/3 + (172*t[5])/3 + 
       (313*t[6])/8 - (11*t[7])/4 + (2147*t[8])/12 - (28*t[9])/3 - 
       (40*t[10])/3 - (2255*t[11])/24 - (125*t[12])/4 - (1373*t[13])/72 + 
       (2023*t[14])/72 - (181*t[15])/432 - 8*t[20] + 2*t[22] + (2*t[24])/3 - 
       (34*t[28])/3 - (61*t[29])/6 + (95*t[30])/6 + 2*t[31] + (5*t[32])/3 - 
       (35*t[33])/6 - (11*t[34])/3 - 16*t[35] + 20*t[36] + 4*t[37] - 
       3*t[40] + 2*t[41] - 2*t[42] + (17*t[43])/2 - (104*t[44])/3 + 
       13*t[45] - 4*t[46] - 22*t[47] + (571*t[48])/24 - (43*t[49])/3 - 
       (493*t[50])/24 + (25*t[51])/6 + (493*t[52])/24 + (43*t[53])/3 + 
       (1219*t[54])/24 + (7*t[59])/6 + (59*t[60])/4 - (479*t[61])/12 + 
       (4019*t[62])/24 + (515*t[63])/8 - (1417*t[64])/24 + (163*t[65])/3 + 
       (1448*t[66])/9 + 6*t[72] - 58*t[73] + (32*t[74])/3 + 74*t[75] + 
       6*t[76] - 8*t[77] - 4*t[78] + 10*t[79] - (34*t[81])/3 + 
       (104*t[82])/3 + (46*t[83])/3 + (4*t[84])/3 - 9*t[85] - (178*t[86])/3 + 
       (71*t[87])/6 + (61*t[88])/12 + (385*t[89])/8 - (16*t[95])/3 - 
       8*t[99] + 135*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*((-363*t[2])/8 + (1543*t[3])/8 - (1351*t[4])/48 + 
       (10505*t[5])/96 - (2059*t[6])/24 - (467*t[7])/8 - (383*t[8])/2 - 
       (7189*t[9])/32 - (5*t[10])/96 + (599*t[11])/48 - (377*t[12])/48 - 
       (3983*t[13])/144 - (71981*t[14])/576 + (2569*t[15])/576 - 2*t[18] + 
       t[19] - 4*t[20] - t[21] + 4*t[22] - t[23] + (31*t[24])/3 - 10*t[27] - 
       15*t[28] + (17*t[29])/4 + 3*t[30] + 9*t[31] - (83*t[32])/2 + 
       (137*t[33])/6 - 3*t[34] + 14*t[35] - 21*t[36] - (15*t[37])/2 - 
       (3*t[38])/2 - (15*t[39])/2 + t[40]/4 + (9*t[41])/4 - (5*t[42])/4 + 
       (45*t[43])/16 - (9*t[44])/8 - (123*t[45])/4 - (17*t[46])/2 + 
       (35*t[47])/2 - (725*t[48])/24 + (3065*t[49])/96 + (67*t[50])/24 - 
       (1901*t[51])/192 + (149*t[52])/24 - (2489*t[53])/96 - 
       (4999*t[54])/48 + 3*t[57] + (15*t[59])/4 - (12671*t[60])/48 - 
       (6485*t[61])/48 + (1565*t[62])/96 + (23515*t[63])/96 + 
       (15175*t[64])/96 - (16063*t[65])/144 + (17551*t[66])/144 + 4*t[69] - 
       4*t[70] + 4*t[71] + 4*t[72] - 13*t[73] - t[74]/2 - t[75] + 
       (19*t[76])/2 + (7*t[77])/2 - (141*t[78])/2 - t[79] + (137*t[80])/2 - 
       (163*t[81])/4 + (353*t[82])/12 - (13*t[83])/2 - (1599*t[84])/16 - 
       (1199*t[85])/48 + (99*t[86])/4 - (2665*t[87])/48 - (5641*t[88])/96 - 
       (13081*t[89])/96 + 17*t[95] + 15*t[96] + (5*t[97])/2 + 152*t[98] - 
       166*t[99] + 136*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - w]*(-3*t[1] - (143*t[2])/16 + (203*t[3])/48 - 
       (697*t[4])/48 - (325*t[5])/12 - (76*t[6])/3 - (665*t[7])/24 - 
       (1837*t[8])/48 - (5*t[9])/6 + (1043*t[10])/96 - (179*t[11])/16 + 
       (347*t[12])/96 - (7*t[13])/12 - (10573*t[14])/576 + (1361*t[15])/288 + 
       (41*t[24])/12 + (47*t[28])/4 - (75*t[29])/16 - (19*t[30])/4 - 
       2*t[31] - (19*t[32])/12 + (8*t[33])/3 + 3*t[34] - 10*t[35] - 8*t[36] - 
       (7*t[37])/12 - (3*t[38])/2 + (7*t[39])/2 - (11*t[40])/2 - 
       (43*t[41])/24 + (43*t[42])/24 - (7*t[43])/24 - (235*t[44])/48 - 
       2*t[45] + 2*t[46] + (29*t[47])/12 - (751*t[48])/48 - (1429*t[49])/96 + 
       (7*t[50])/3 + (1061*t[51])/192 - (10*t[52])/3 + (661*t[53])/96 - 
       (97*t[54])/16 - (13*t[59])/12 + (701*t[60])/48 - (4507*t[61])/48 - 
       (91*t[62])/2 - (553*t[63])/12 + (5579*t[64])/96 + (7693*t[65])/144 - 
       (3049*t[66])/144 - 2*t[72] + (47*t[73])/4 + (35*t[74])/12 - 
       (61*t[75])/4 + 10*t[76] + (91*t[77])/12 + (7*t[78])/12 - (7*t[79])/4 + 
       2*t[80] + (109*t[81])/24 - (475*t[82])/24 + (23*t[83])/4 + 
       (665*t[84])/48 + (209*t[85])/12 + (625*t[86])/12 + (995*t[87])/48 + 
       (995*t[88])/96 + (549*t[89])/32 + (7*t[95])/6 - 10*t[96] - 4*t[97] + 
       68*t[98] - 85*t[99] + 140*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*((-15*t[1])/2 - (725*t[2])/24 + 
       (1703*t[3])/24 + (33*t[4])/8 - (19*t[5])/16 - (847*t[6])/16 + 
       (125*t[7])/6 - (1879*t[8])/12 + (415*t[9])/16 - (491*t[10])/48 + 
       (701*t[11])/48 + (223*t[12])/6 + (2597*t[13])/108 - (4933*t[14])/288 - 
       (7811*t[15])/864 - (2*t[20])/3 - (25*t[24])/6 - (8*t[27])/3 + 
       (29*t[29])/6 + 4*t[30] + 6*t[31] - (161*t[32])/6 - (13*t[33])/3 + 
       (43*t[34])/3 - 4*t[35] + 8*t[36] + (41*t[37])/6 - (7*t[38])/3 + 
       (4*t[39])/3 - (5*t[40])/6 - (13*t[41])/12 + (13*t[42])/12 + 
       (17*t[43])/12 + (35*t[44])/4 - 28*t[45] - 3*t[46] + (63*t[47])/2 - 
       (477*t[48])/16 + (575*t[49])/48 + (517*t[50])/48 - (189*t[51])/32 - 
       (469*t[52])/48 - (319*t[53])/48 - (2387*t[54])/48 + (10*t[59])/3 - 
       (635*t[60])/6 - (1853*t[61])/12 + (869*t[62])/12 + (1417*t[63])/12 - 
       (77*t[64])/2 + (185*t[65])/8 + (4147*t[66])/72 - (26*t[70])/3 + 
       (26*t[71])/3 - 8*t[72] - 8*t[73] - (43*t[74])/2 + 6*t[75] + 
       (80*t[76])/3 - (25*t[77])/6 - (79*t[78])/6 - 11*t[79] + 12*t[80] + 
       (97*t[81])/12 + (101*t[82])/12 + (34*t[83])/3 - (385*t[84])/8 + 
       (25*t[85])/6 - (46*t[87])/3 - 50*t[88] - (81*t[89])/4 + 21*t[95] + 
       (50*t[96])/3 + t[97] + 200*t[98] - 230*t[99] + 143*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      (2*t[1] - (53*t[2])/4 - (165*t[3])/8 - (165*t[4])/4 + (95*t[5])/6 + 
       (955*t[6])/48 - (49*t[7])/12 + (997*t[8])/12 + (343*t[9])/8 + 
       (397*t[10])/24 - (1165*t[11])/16 - (251*t[12])/24 - (1213*t[13])/24 + 
       (109*t[14])/72 - (5323*t[15])/216 + 4*t[20] - 4*t[22] + 2*t[24] - 
       (35*t[28])/3 + (29*t[29])/4 - 25*t[30] + 4*t[31] + (43*t[32])/2 - 
       11*t[33] + 6*t[34] + 16*t[35] + 4*t[36] + 7*t[37] + 2*t[39] - 
       12*t[40] + (3*t[41])/2 - (3*t[42])/2 - (3*t[43])/2 - (38*t[44])/3 - 
       3*t[46] - t[47] + (1645*t[48])/48 - (37*t[49])/8 - (1603*t[50])/48 + 
       (21*t[51])/16 + (1987*t[52])/48 + (37*t[53])/8 + (1687*t[54])/48 - 
       2*t[59] + (2527*t[60])/24 - (891*t[61])/8 - (289*t[62])/48 - 
       (7831*t[63])/48 + (6083*t[64])/48 - (97*t[65])/72 + (2189*t[66])/72 + 
       2*t[69] + 4*t[70] - 4*t[71] + 2*t[72] + t[73] + 9*t[74] - 5*t[75] + 
       12*t[76] + t[77] - 3*t[78] + 9*t[79] - 6*t[80] - (33*t[81])/2 + 
       (39*t[82])/2 + (2*t[83])/3 + (137*t[84])/8 + (195*t[85])/8 + 
       (61*t[86])/3 - (451*t[87])/24 + (509*t[88])/48 + (523*t[89])/16 - 
       10*t[95] - 4*t[96] + 4*t[97] - 26*t[99] + (287*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      (2*t[1] + (17*t[2])/2 - (563*t[3])/6 - (367*t[4])/12 - (85*t[5])/2 + 
       (731*t[6])/48 - (67*t[7])/2 + (43*t[8])/2 + (1259*t[9])/24 + 
       (1279*t[10])/24 - (2663*t[11])/48 + (269*t[12])/24 - (31*t[13])/3 + 
       (2099*t[14])/36 + (2311*t[15])/432 + 2*t[18] - t[20]/3 + 3*t[23] + 
       (22*t[28])/3 - (14*t[29])/3 - (23*t[30])/2 - 3*t[31] + (22*t[32])/3 + 
       (47*t[33])/6 - t[34]/3 - 14*t[35] - 4*t[36] - 2*t[37] + 2*t[39] - 
       (13*t[40])/2 + t[41] - t[42] + (5*t[43])/2 - (41*t[44])/2 + 2*t[45] + 
       2*t[46] + 4*t[47] + (53*t[48])/48 + (103*t[49])/24 + (61*t[50])/48 + 
       (17*t[51])/48 + (323*t[52])/48 - (103*t[53])/24 + (1315*t[54])/48 + 
       (7*t[59])/6 + (473*t[60])/8 - (913*t[61])/24 - (1315*t[62])/16 - 
       (7111*t[63])/48 + (787*t[64])/48 - (179*t[65])/8 - (2321*t[66])/24 - 
       4*t[69] + 2*t[70] - 2*t[71] - 2*t[72] - 5*t[73] - 2*t[74] + 5*t[77] + 
       13*t[78] - (29*t[79])/2 + 19*t[80] + (37*t[81])/2 - (61*t[82])/2 + 
       (56*t[83])/3 + (283*t[84])/24 + (317*t[85])/24 + (113*t[86])/6 + 
       (115*t[87])/8 + (435*t[88])/16 + (647*t[89])/16 - 10*t[95] - 4*t[96] + 
       4*t[97] - 26*t[99] + (287*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*((117*t[2])/2 - 12*t[3] - 
       39*t[4] - (27*t[5])/2 - (33*t[6])/2 - (51*t[7])/2 - (189*t[8])/2 + 
       (33*t[9])/2 + 42*t[10] - 72*t[11] + 21*t[12] - (479*t[13])/12 - 
       (27*t[14])/2 + (75*t[15])/4 - 12*t[24] + 6*t[28] - 6*t[32] - 
       18*t[33] - 6*t[36] - 12*t[37] - 3*t[41] + 3*t[42] + 3*t[46] - 
       6*t[47] - (39*t[48])/2 - (9*t[49])/2 + (15*t[50])/2 + (9*t[51])/2 - 
       (15*t[52])/2 + (9*t[53])/2 + (33*t[54])/2 - 6*t[59] - 93*t[60] - 
       99*t[61] - (87*t[62])/2 - (33*t[63])/2 + 24*t[64] - (127*t[65])/2 + 
       (197*t[66])/2 + 18*t[74] + 6*t[77] + 6*t[78] - 6*t[79] + 24*t[80] - 
       3*t[81] + 3*t[82] + 12*t[83] - (39*t[84])/2 - 12*t[85] + 6*t[86] + 
       45*t[87] + (45*t[88])/2 - 24*t[89] + 12*t[95] + 72*t[99] + 144*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((67*t[2])/2 + 10*t[3] - (71*t[4])/6 - (47*t[5])/12 - (8*t[6])/3 - 
       29*t[7] + 39*t[8] - (25*t[9])/4 + (431*t[10])/12 - (160*t[11])/3 - 
       (47*t[12])/3 - (733*t[13])/18 - (805*t[14])/72 + (1249*t[15])/72 + 
       (10*t[24])/3 - 6*t[32] - (44*t[33])/3 - 6*t[37] - 3*t[41] + 3*t[42] - 
       3*t[43] - 6*t[44] - 6*t[47] + (20*t[48])/3 + (13*t[49])/12 - 
       (40*t[50])/3 - (61*t[51])/24 + (40*t[52])/3 - (13*t[53])/12 + 
       (151*t[54])/6 - 6*t[59] - (271*t[60])/6 - (493*t[61])/6 - 
       (89*t[62])/12 - (415*t[63])/12 + (317*t[64])/12 - (256*t[65])/9 + 
       (1204*t[66])/9 + 30*t[74] + 6*t[77] + 6*t[78] - 15*t[81] + 
       (59*t[82])/3 - 6*t[84] - (55*t[85])/6 - 12*t[86] + (91*t[87])/6 + 
       (91*t[88])/12 + (79*t[89])/12 + 12*t[95] + 72*t[99] + 144*t[100])*
      \[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - v]*((73*t[2])/2 + 7*t[3] - 
       (17*t[4])/2 - t[5]/4 - 3*t[6] - 23*t[7] + 12*t[8] + (63*t[9])/4 + 
       (137*t[10])/4 - 47*t[11] - 13*t[12] - (239*t[13])/6 - (211*t[14])/24 + 
       (659*t[15])/24 + 12*t[24] - 6*t[32] - 6*t[33] - 6*t[37] - 3*t[41] + 
       3*t[42] - 3*t[43] - 6*t[44] - 6*t[47] + 4*t[48] - t[49]/4 - 10*t[50] - 
       (3*t[51])/8 + 10*t[52] + t[53]/4 + (37*t[54])/2 - 6*t[59] - 
       (73*t[60])/2 - (167*t[61])/2 - (47*t[62])/4 - (121*t[63])/4 + 
       (103*t[64])/4 - (80*t[65])/3 + 124*t[66] + 30*t[74] + 6*t[77] + 
       6*t[78] - 15*t[81] + 5*t[82] - 6*t[84] - t[85]/2 - 12*t[86] + 
       (13*t[87])/2 + (13*t[88])/4 + (29*t[89])/4 + 12*t[95] + 72*t[99] + 
       144*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (t[1]/2 - (583*t[2])/24 - (127*t[3])/12 - (3853*t[4])/72 - 
       (6535*t[5])/144 - (466*t[6])/9 + (443*t[7])/12 - (299*t[8])/4 + 
       (3079*t[9])/48 - (4715*t[10])/144 - (1019*t[11])/36 - (581*t[12])/72 - 
       (1931*t[13])/216 - (74147*t[14])/864 - (39559*t[15])/864 - 4*t[18] + 
       4*t[19] - 4*t[20] - 8*t[21] + 4*t[22] + 2*t[23] - (35*t[24])/18 - 
       2*t[25] + 2*t[26] + 6*t[27] - 16*t[28] - 8*t[29] + 2*t[30] + 
       (45*t[32])/2 - (238*t[33])/9 - 3*t[34] + 24*t[35] - 8*t[36] + 
       (9*t[37])/2 + 3*t[38] + t[39] + 10*t[40] - (5*t[41])/4 + (5*t[42])/4 + 
       (15*t[43])/2 - t[44]/2 + t[45] + 4*t[46] + (77*t[47])/2 - 
       (185*t[48])/9 - (2857*t[49])/144 + (136*t[50])/9 + (3697*t[51])/288 - 
       (253*t[52])/9 + (2281*t[53])/144 - (1411*t[54])/72 + 8*t[57] - 
       6*t[59] - (1589*t[60])/72 - (15467*t[61])/72 - (3595*t[62])/144 - 
       (7997*t[63])/144 + (24619*t[64])/144 + (3571*t[65])/27 + 
       (4123*t[66])/54 + 8*t[69] - 4*t[70] + 4*t[71] - 8*t[72] + 12*t[73] - 
       t[74]/2 - 60*t[75] - 3*t[76] - t[77]/2 - (59*t[78])/2 + 38*t[79] + 
       42*t[80] - (15*t[81])/4 + (145*t[82])/36 + 8*t[83] + 7*t[84] + 
       (2191*t[85])/72 + 122*t[86] + (6413*t[87])/72 + (6269*t[88])/144 + 
       (15341*t[89])/144 - 5*t[95] - 6*t[96] - 5*t[97] + 64*t[98] - 
       150*t[99] + 160*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*(-t[1]/2 - (19*t[2])/3 + (385*t[3])/12 - 
       (421*t[4])/8 + (3277*t[5])/96 - (533*t[6])/24 + (293*t[7])/24 - 
       (3011*t[8])/48 - (6253*t[9])/96 + (259*t[10])/12 - (3751*t[11])/48 - 
       (1421*t[12])/32 - (851*t[13])/18 - (5741*t[14])/72 + 
       (2497*t[15])/576 - (3*t[20])/4 - 5*t[23] + (137*t[24])/12 - 
       (11*t[28])/2 + (53*t[29])/4 + (83*t[30])/8 - t[32]/24 - 
       (71*t[33])/24 - (79*t[34])/4 + (23*t[35])/2 + 8*t[36] + (7*t[37])/12 + 
       t[38] - 11*t[39] + (23*t[40])/2 - (41*t[41])/24 + (41*t[42])/24 + 
       (115*t[43])/24 + (211*t[44])/12 + 8*t[45] - t[46] - (95*t[47])/12 + 
       (93*t[48])/16 - (99*t[49])/16 + (293*t[50])/24 + (253*t[51])/96 - 
       (389*t[52])/24 + (99*t[53])/16 + (67*t[54])/24 + 4*t[57] - 
       (11*t[59])/24 - (2105*t[60])/24 - (6439*t[61])/48 + (749*t[62])/24 + 
       (45*t[63])/8 + (5957*t[64])/96 + (3373*t[65])/144 + 
       (24203*t[66])/144 + 8*t[69] - 2*t[70] + 4*t[71] - 2*t[72] + 
       (55*t[73])/4 + (31*t[74])/3 - (109*t[75])/4 + (13*t[76])/2 + 
       (17*t[77])/12 - (217*t[78])/12 + (29*t[79])/4 + 4*t[80] - 
       (185*t[81])/12 + (34*t[82])/3 - (79*t[83])/2 - (359*t[84])/48 + 
       (575*t[85])/48 + (41*t[86])/12 + (135*t[87])/4 + (135*t[88])/8 + 
       (935*t[89])/24 + (17*t[95])/6 - (3*t[97])/2 + 68*t[98] - 75*t[99] + 
       160*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-19*t[1])/4 - (1609*t[2])/48 + (6113*t[3])/96 + (4589*t[4])/144 - 
       (1387*t[5])/288 - (41417*t[6])/576 - (2423*t[7])/48 - (1377*t[8])/8 - 
       (1909*t[9])/48 + (55*t[10])/288 + (3665*t[11])/576 - (413*t[12])/36 + 
       (36689*t[13])/864 - (8921*t[14])/108 - (32119*t[15])/1728 + 4*t[18] + 
       2*t[19] + 2*t[21] - 2*t[23] - (31*t[24])/18 + t[29]/8 + 18*t[30] - 
       (147*t[32])/4 + (469*t[33])/36 + (23*t[34])/2 - 7*t[36] + 
       (7*t[37])/4 + t[38] - 11*t[39] + (163*t[40])/8 + t[41]/8 + 
       (7*t[42])/8 + (23*t[43])/8 + (23*t[44])/16 + (29*t[45])/4 + 
       (7*t[46])/4 - (21715*t[48])/576 - (1759*t[49])/288 + 
       (10985*t[50])/576 + (1699*t[51])/576 - (21929*t[52])/576 + 
       (607*t[53])/288 - (21205*t[54])/576 - (20557*t[60])/288 - 
       (29557*t[61])/288 + (55873*t[62])/576 + (25631*t[63])/576 + 
       (20483*t[64])/576 + (38893*t[65])/864 - (8497*t[66])/864 - 2*t[69] - 
       (27*t[70])/2 + (27*t[71])/2 - (11*t[72])/2 + 7*t[73] - (53*t[74])/4 - 
       7*t[75] - (41*t[76])/4 - (9*t[77])/4 + (25*t[78])/4 + 14*t[79] - 
       (23*t[80])/2 + (35*t[81])/8 - (575*t[82])/72 - 7*t[83] + 
       (409*t[84])/32 + (3635*t[85])/288 - t[86]/2 + (13933*t[87])/288 - 
       (7667*t[88])/576 + (20701*t[89])/576 - (3*t[95])/2 + (7*t[96])/2 - 
       (25*t[97])/2 - 54*t[98] + 9*t[99] + 168*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      (-5*t[1] + 23*t[2] + (587*t[3])/8 + (43*t[4])/3 + (2603*t[5])/48 - 
       (2059*t[6])/48 - (363*t[7])/8 - (645*t[8])/8 - (1831*t[9])/16 - 
       (308*t[10])/3 - (569*t[11])/48 + (335*t[12])/48 + (2003*t[13])/48 - 
       (7349*t[14])/72 - (23993*t[15])/288 - 4*t[19] + 4*t[20] + 4*t[21] - 
       4*t[22] - 2*t[23] + (2*t[24])/3 - t[25] + 2*t[26] - t[27] - 14*t[28] - 
       24*t[29] + 5*t[30] + 4*t[31] - 13*t[32] + (20*t[33])/3 + 28*t[34] + 
       6*t[35] + 30*t[36] + 2*t[37] - 3*t[38] - 5*t[39] + (9*t[40])/2 + 
       2*t[41] - 3*t[42] - (29*t[43])/4 - 7*t[44] - (139*t[45])/4 + 5*t[46] + 
       (131*t[47])/2 - (2495*t[48])/48 - (239*t[49])/24 - (1091*t[50])/48 - 
       (59*t[51])/24 + (1187*t[52])/48 + (215*t[53])/24 - (2681*t[54])/48 + 
       t[58] - (27*t[59])/2 - (2129*t[60])/24 - (6779*t[61])/24 + 
       (5615*t[62])/48 - (1271*t[63])/48 + (5317*t[64])/48 + (881*t[65])/72 - 
       (1817*t[66])/72 - 4*t[70] + 4*t[71] - 8*t[72] + 10*t[73] - 22*t[74] - 
       12*t[75] + 15*t[76] - 20*t[77] - 44*t[78] + 10*t[79] + t[80] - 
       2*t[81] + (61*t[82])/3 - 21*t[83] - (315*t[84])/8 + (619*t[85])/24 - 
       (59*t[86])/2 + (1157*t[87])/24 + (245*t[88])/48 + (185*t[89])/48 + 
       4*t[96] - 3*t[97] + 72*t[98] - 172*t[99] + 170*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((-19*t[1])/4 + (131*t[2])/16 + 
       (4591*t[3])/48 - (2485*t[4])/144 + (8237*t[5])/288 - 
       (27827*t[6])/576 - (217*t[7])/24 - (6887*t[8])/48 - (709*t[9])/8 - 
       (7463*t[10])/288 - (42613*t[11])/576 - (2137*t[12])/72 - 
       (7949*t[13])/432 - (6901*t[14])/54 - (18029*t[15])/864 - 4*t[18] - 
       2*t[19] + 2*t[20] + 2*t[21] + (125*t[24])/18 + (7*t[28])/2 + 
       (45*t[29])/4 + 9*t[30] - (233*t[32])/12 + (385*t[33])/36 + 2*t[34] - 
       7*t[35] + 7*t[36] + (49*t[37])/12 + t[38] - (23*t[39])/2 + 
       (161*t[40])/8 - (89*t[41])/24 + (65*t[42])/24 + t[43]/24 + 
       (125*t[44])/24 + (11*t[45])/4 + (7*t[46])/4 - (25*t[47])/6 - 
       (11821*t[48])/576 - (4177*t[49])/288 + (2663*t[50])/576 + 
       (3301*t[51])/576 - (14759*t[52])/576 + (3025*t[53])/288 - 
       (13495*t[54])/576 - (83*t[59])/12 - (44995*t[60])/288 - 
       (64273*t[61])/288 + (88381*t[62])/576 + (32411*t[63])/576 + 
       (29183*t[64])/576 + (66769*t[65])/864 + (156983*t[66])/864 + 4*t[69] - 
       (7*t[70])/2 + (7*t[71])/2 + (11*t[72])/2 + 7*t[73] - (53*t[74])/12 - 
       7*t[75] - (43*t[76])/4 - (97*t[77])/12 + (89*t[78])/12 - 
       (75*t[80])/2 - (193*t[81])/24 + (1363*t[82])/72 - 7*t[83] - 
       (469*t[84])/96 + (8591*t[85])/288 - (83*t[86])/6 + (24145*t[87])/288 + 
       (2545*t[88])/576 + (7687*t[89])/576 + (11*t[95])/6 - t[96]/2 - 
       (25*t[97])/2 - 54*t[98] + 29*t[99] + 208*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((9*t[1])/8 + (1513*t[2])/48 + (6629*t[3])/96 - (901*t[4])/48 + 
       (8509*t[5])/96 - (21859*t[6])/192 - (1133*t[7])/48 - 135*t[8] - 
       (1763*t[9])/24 + (1379*t[10])/32 + (715*t[11])/192 - (1915*t[12])/48 - 
       (23797*t[13])/864 - (14783*t[14])/144 + (10327*t[15])/1728 - 2*t[19] + 
       (7*t[20])/6 + 2*t[21] - 2*t[23] + (5*t[24])/6 + (20*t[27])/3 + 
       10*t[28] + (619*t[29])/24 + 23*t[30] - 8*t[31] - (45*t[32])/4 - 
       (85*t[33])/4 - (121*t[34])/12 + 10*t[35] + 23*t[36] + (67*t[37])/12 + 
       (29*t[38])/6 + (13*t[39])/6 + (491*t[40])/24 - (25*t[41])/12 + 
       (25*t[42])/12 + (71*t[43])/12 + (581*t[44])/48 + (85*t[45])/4 + 
       (27*t[46])/4 - (46*t[47])/3 + (623*t[48])/192 - (197*t[49])/96 - 
       (143*t[50])/64 - (79*t[51])/192 - (1921*t[52])/64 + (215*t[53])/32 - 
       (6967*t[54])/192 + 2*t[57] - (26*t[59])/3 - (5709*t[60])/32 - 
       (8911*t[61])/96 - (7817*t[62])/192 + (3817*t[63])/192 + 
       (34777*t[64])/192 + (16535*t[65])/288 + (14147*t[66])/96 - 
       (47*t[70])/6 + (47*t[71])/6 - t[72] + 3*t[73] + (23*t[74])/12 - 
       t[75] - (49*t[76])/6 - (13*t[77])/4 + (111*t[78])/4 - 14*t[79] - 
       9*t[80] + (65*t[81])/24 + t[82]/24 - (59*t[83])/6 - (4733*t[84])/96 - 
       (1761*t[85])/32 + (73*t[86])/3 + (3489*t[87])/32 + (3379*t[88])/192 + 
       (3293*t[89])/64 + (85*t[95])/6 + (47*t[96])/6 + t[97]/2 - 98*t[98] + 
       103*t[99] + 227*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(2*t[1] + (45*t[2])/16 + (2465*t[3])/48 + 
       (485*t[4])/16 - (177*t[5])/8 - (1045*t[6])/16 - (173*t[7])/8 - 
       (4973*t[8])/48 - (421*t[9])/12 + (321*t[10])/32 + (197*t[11])/24 - 
       (4105*t[12])/96 + (13*t[13])/18 - (42169*t[14])/576 - 
       (15911*t[15])/864 - t[20] + (37*t[24])/12 + (77*t[28])/12 - 
       (219*t[29])/16 + (45*t[30])/4 - 10*t[31] + (29*t[32])/12 - 
       (17*t[33])/3 - 23*t[34] - 10*t[35] - (31*t[37])/12 + 7*t[38] - 
       3*t[39] + (27*t[40])/2 - (43*t[41])/24 + (43*t[42])/24 - 
       (19*t[43])/24 - (179*t[44])/48 + 26*t[45] + t[46]/2 - (259*t[47])/12 - 
       (445*t[48])/12 - (487*t[49])/32 + (229*t[50])/16 + (2341*t[51])/192 - 
       (581*t[52])/16 + (311*t[53])/32 - (299*t[54])/8 - (97*t[59])/12 - 
       (337*t[60])/48 - (3773*t[61])/48 - (453*t[62])/16 - (5285*t[63])/48 + 
       (987*t[64])/32 + (1927*t[65])/144 - (11*t[66])/16 + t[69] - 6*t[72] - 
       (73*t[73])/4 + (59*t[74])/12 + (103*t[75])/4 - 38*t[76] - 
       (17*t[77])/12 + (427*t[78])/12 - (99*t[79])/4 - 20*t[80] - 
       (11*t[81])/24 - (251*t[82])/24 - (47*t[83])/12 + (803*t[84])/48 - 
       (193*t[85])/24 + (127*t[86])/4 + (2897*t[87])/48 + (2321*t[88])/96 + 
       (2893*t[89])/96 - (5*t[95])/6 - 6*t[96] - 8*t[97] - 252*t[98] + 
       277*t[99] + (461*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]^2*((-13*t[1])/8 + (391*t[2])/48 + (1279*t[3])/48 - 
       (81*t[4])/4 + (1331*t[5])/24 - (1793*t[6])/64 - (287*t[7])/24 - 
       (1211*t[8])/48 - (925*t[9])/96 - (105*t[10])/8 - (5089*t[11])/192 - 
       (5*t[12])/6 + (3143*t[13])/432 - (7487*t[14])/192 - 
       (14345*t[15])/1728 + 3*t[19] + 2*t[20] - 3*t[21] - 4*t[22] + 3*t[23] - 
       (3*t[24])/2 + (8*t[27])/3 + (5*t[28])/2 + (11*t[29])/3 - t[30]/3 - 
       t[31] - (35*t[32])/6 + (7*t[33])/4 + (29*t[34])/4 + 7*t[35] + 
       6*t[36] + (35*t[37])/12 - (5*t[38])/3 + (7*t[39])/6 + (23*t[40])/24 - 
       (2*t[41])/3 + (2*t[42])/3 + (139*t[43])/48 - (7*t[44])/3 - 
       (23*t[45])/3 + (21*t[46])/4 + (19*t[47])/2 + (67*t[48])/192 - 
       (59*t[49])/24 - (1721*t[50])/192 - (11*t[51])/48 + (643*t[52])/64 + 
       (25*t[53])/8 + (613*t[54])/192 - 3*t[57] + (5*t[59])/12 - 
       (2355*t[60])/32 - (13555*t[61])/96 + (10939*t[62])/192 - 
       (2641*t[63])/64 + (3759*t[64])/64 + (6001*t[65])/96 + 
       (2241*t[66])/32 - (5*t[70])/6 + (5*t[71])/6 + (26*t[72])/3 - 
       (5*t[74])/4 + 14*t[75] + (17*t[76])/3 - (23*t[77])/12 + 
       (35*t[78])/12 + t[79] + (43*t[80])/6 - (15*t[81])/8 + (101*t[82])/8 + 
       (73*t[83])/6 - (1577*t[84])/96 - (43*t[85])/96 + (39*t[86])/4 + 
       (2371*t[87])/96 + (1331*t[88])/192 + (1295*t[89])/64 + (11*t[95])/2 - 
       t[96]/6 - t[97]/2 + 14*t[98] - 89*t[99] + 236*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*((5*t[1])/8 - (1361*t[2])/48 + 
       (2467*t[3])/96 - (239*t[4])/12 + (533*t[5])/48 - (10945*t[6])/192 + 
       (455*t[7])/48 - (305*t[8])/3 + (417*t[9])/32 + (321*t[10])/8 - 
       (2539*t[11])/192 + (103*t[12])/4 - (445*t[13])/864 - 
       (35363*t[14])/576 - (13609*t[15])/864 + 2*t[18] + (2*t[20])/3 + 
       2*t[21] - 4*t[22] - 2*t[23] - (91*t[24])/6 + t[27]/6 - 7*t[28] + 
       (19*t[29])/24 + (11*t[30])/2 + t[31] + t[32]/3 - (39*t[33])/4 - 
       (37*t[34])/12 + 2*t[35] - 6*t[36] + (107*t[37])/12 + (7*t[38])/12 - 
       (31*t[39])/12 + (53*t[40])/24 + (7*t[41])/12 + (5*t[42])/12 + 
       (169*t[43])/48 + (139*t[44])/16 + (7*t[45])/2 - (19*t[46])/4 + 
       (19*t[47])/2 - (6587*t[48])/192 + (23*t[49])/8 + (1627*t[50])/64 + 
       (101*t[51])/48 - (1867*t[52])/64 + (19*t[53])/24 - (3475*t[54])/64 - 
       t[57] + (49*t[59])/24 - (2333*t[60])/32 - (11923*t[61])/96 + 
       (2969*t[62])/64 + (1463*t[63])/64 + (6709*t[64])/192 + 
       (4163*t[65])/288 + (4231*t[66])/96 - t[69] - (29*t[70])/6 + 
       (29*t[71])/6 + (9*t[72])/2 - (95*t[74])/4 + 5*t[75] + (29*t[76])/6 - 
       (49*t[77])/12 - (19*t[78])/3 + 13*t[79] - 8*t[80] - (161*t[81])/24 + 
       (265*t[82])/24 + (133*t[83])/6 - (975*t[84])/32 + (55*t[85])/32 + 
       (85*t[86])/4 + (2467*t[87])/96 + (1427*t[88])/192 - (769*t[89])/192 + 
       (11*t[95])/2 + (19*t[96])/3 + (7*t[97])/4 + 14*t[98] - 89*t[99] + 
       236*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-17*t[2])/4 + 23*t[3] - (309*t[4])/4 - (259*t[5])/8 - 63*t[6] + 
       107*t[7] - 84*t[8] - (19*t[9])/8 - (59*t[10])/8 - (145*t[11])/2 + 
       (135*t[12])/4 - (682*t[13])/9 - (503*t[14])/48 + (1517*t[15])/48 - 
       2*t[18] - 6*t[22] + 7*t[24] - 54*t[28] - 16*t[29] + 24*t[30] + 
       33*t[32] - 32*t[33] - 6*t[34] + 38*t[35] + 6*t[36] - 5*t[37] - 
       (5*t[41])/2 + (5*t[42])/2 + (3*t[43])/2 + 27*t[44] - t[47] - 
       (153*t[48])/2 - (125*t[49])/8 + (113*t[50])/2 + (149*t[51])/16 - 
       (113*t[52])/2 + (125*t[53])/8 - (137*t[54])/4 + 10*t[59] - 
       (475*t[60])/4 - (485*t[61])/4 - (79*t[62])/8 + (2103*t[63])/8 - 
       (583*t[64])/8 - (266*t[65])/3 + (781*t[66])/3 + 10*t[69] - 32*t[70] + 
       32*t[71] - 96*t[73] - 43*t[74] + 116*t[75] - 3*t[77] + t[78] - 
       34*t[79] + 10*t[80] - (15*t[81])/2 - (11*t[82])/2 + 87*t[83] - 
       (79*t[84])/2 - (111*t[85])/4 + 28*t[86] + (255*t[87])/4 + 
       (255*t[88])/8 - (549*t[89])/8 + 6*t[95] + 36*t[99] + 240*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-33*t[2])/4 + 6*t[3] + (159*t[4])/4 + (213*t[5])/8 - 22*t[6] + 
       16*t[7] - 116*t[8] + (589*t[9])/8 + (221*t[10])/8 + (65*t[11])/2 - 
       (169*t[12])/4 - (233*t[13])/36 + (2233*t[14])/48 + (63*t[15])/16 + 
       13*t[24] - 10*t[28] - 24*t[29] + 24*t[30] - 5*t[32] - 2*t[33] - 
       6*t[35] - 6*t[36] - 3*t[37] - (3*t[41])/2 + (3*t[42])/2 - 
       (5*t[43])/2 + t[44] - 7*t[47] - 29*t[48] + (171*t[49])/8 + 9*t[50] - 
       (195*t[51])/16 - 9*t[52] - (171*t[53])/8 - (139*t[54])/4 - 3*t[59] + 
       (101*t[60])/4 - (85*t[61])/4 - (75*t[62])/8 - (253*t[63])/8 - 
       (663*t[64])/8 - (539*t[65])/6 + (61*t[66])/2 - 96*t[73] + 21*t[74] + 
       134*t[75] + 5*t[77] + t[78] - 10*t[79] - 4*t[80] + (11*t[81])/2 - 
       (25*t[82])/2 + 40*t[83] - 13*t[84] + (69*t[85])/4 - 32*t[86] - 
       (121*t[87])/4 - (121*t[88])/8 + (107*t[89])/8 + 6*t[95] + 36*t[99] + 
       240*t[100])*\[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((125*t[2])/2 + 10*t[3] - (65*t[4])/6 + (55*t[5])/12 - (20*t[6])/3 - 
       35*t[7] + 5*t[8] + (145*t[9])/4 + (665*t[10])/12 - (220*t[11])/3 - 
       (65*t[12])/3 - (1195*t[13])/18 - (1075*t[14])/72 + (3655*t[15])/72 + 
       (70*t[24])/3 - 10*t[32] - (20*t[33])/3 - 10*t[37] - 5*t[41] + 
       5*t[42] - 5*t[43] - 10*t[44] - 10*t[47] + (20*t[48])/3 - 
       (5*t[49])/12 - (40*t[50])/3 + (5*t[51])/24 + (40*t[52])/3 + 
       (5*t[53])/12 + (145*t[54])/6 - 10*t[59] - (385*t[60])/6 - 
       (835*t[61])/6 - (215*t[62])/12 - (625*t[63])/12 + (515*t[64])/12 - 
       (400*t[65])/9 + (1900*t[66])/9 + 50*t[74] + 10*t[77] + 10*t[78] - 
       25*t[81] + (5*t[82])/3 - 10*t[84] - (25*t[85])/6 - 20*t[86] + 
       (85*t[87])/6 + (85*t[88])/12 + (145*t[89])/12 + 20*t[95] + 120*t[99] + 
       240*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(2*t[1] + 77*t[2] - (177*t[3])/2 - (595*t[4])/6 - 
       (1219*t[5])/12 - (1229*t[6])/24 - (39*t[7])/2 - 151*t[8] + 126*t[9] + 
       (409*t[10])/12 - (3535*t[11])/24 + (77*t[12])/3 - (2375*t[13])/36 + 
       (815*t[14])/36 + (1349*t[15])/36 + 8*t[19] - 8*t[20] - 4*t[21] + 
       6*t[22] + 4*t[23] + (50*t[24])/3 - 4*t[26] + 2*t[28] + 4*t[29] - 
       20*t[30] - 18*t[31] - 12*t[32] + (38*t[33])/3 + 10*t[34] + 8*t[35] - 
       8*t[36] - 14*t[37] + 3*t[38] - 5*t[39] + 8*t[40] - 3*t[41] + 3*t[42] - 
       5*t[43] - 23*t[44] - 6*t[45] - 4*t[46] + 28*t[47] - (1039*t[48])/24 - 
       (259*t[49])/12 + (413*t[50])/24 + (601*t[51])/24 - (269*t[52])/24 + 
       (211*t[53])/12 + (1259*t[54])/24 - 13*t[59] - (781*t[60])/12 - 
       (1351*t[61])/12 - (4403*t[62])/24 - (37*t[63])/24 + (4781*t[64])/24 - 
       (4637*t[65])/36 - (2779*t[66])/36 - 4*t[69] + 10*t[72] - 12*t[73] + 
       10*t[74] + 18*t[75] - 8*t[76] + 5*t[77] + 44*t[78] + 6*t[79] + 
       6*t[80] + 38*t[81] - (218*t[82])/3 + 46*t[83] - (9*t[84])/4 + 
       (149*t[85])/12 + 78*t[86] + (559*t[87])/12 + (511*t[88])/24 - 
       (755*t[89])/24 + 12*t[95] - 6*t[96] - 4*t[97] - 48*t[98] + 136*t[99] + 
       244*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*(-t[1] - 29*t[2] + (83*t[3])/4 - (191*t[4])/3 - 
       (1087*t[5])/12 + (13*t[6])/24 - 3*t[7] + (179*t[8])/2 + (271*t[9])/2 + 
       (137*t[10])/6 - (3205*t[11])/24 - (397*t[12])/12 - (383*t[13])/3 + 
       (451*t[14])/72 + (75*t[15])/8 + (116*t[24])/3 + 4*t[27] - 12*t[28] - 
       3*t[29] - 16*t[30] + 6*t[31] - 14*t[32] - (10*t[33])/3 - 12*t[34] + 
       36*t[35] - 2*t[36] + 2*t[37] + 2*t[38] + 4*t[39] + 5*t[40] - 3*t[41] + 
       3*t[42] - (7*t[43])/2 - (31*t[44])/2 - 10*t[45] + t[46] + 15*t[47] + 
       (239*t[48])/24 - (58*t[49])/3 - (1237*t[50])/24 + (161*t[51])/12 + 
       (1141*t[52])/24 + (58*t[53])/3 + (2261*t[54])/24 - (21*t[59])/2 + 
       (449*t[60])/12 - (1483*t[61])/12 - (3317*t[62])/24 - (4507*t[63])/24 + 
       (7445*t[64])/24 - (617*t[65])/36 + (5789*t[66])/36 + 4*t[69] + 
       4*t[72] + 4*t[73] + 58*t[74] - 4*t[75] - 7*t[76] + t[77] + 10*t[78] - 
       12*t[79] + 18*t[80] - 22*t[81] - (32*t[82])/3 + 30*t[83] + 
       (37*t[84])/4 + (401*t[85])/12 + 152*t[86] - (521*t[87])/12 - 
       (545*t[88])/24 + (1627*t[89])/24 + 12*t[95] - t[97] - 48*t[98] + 
       136*t[99] + 244*t[100])*\[Zeta][2] + Qep[v, w, u]*
      (56*t[2] + (64*t[3])/3 - (56*t[4])/3 + (4*t[5])/3 - (32*t[6])/3 - 
       (176*t[7])/3 + (304*t[8])/3 - (140*t[9])/3 + (188*t[10])/3 - 
       96*t[11] - (112*t[12])/3 - (680*t[13])/9 - (266*t[14])/9 + 
       (146*t[15])/9 - (32*t[24])/3 - (32*t[32])/3 - (128*t[33])/3 - 
       (32*t[37])/3 - (16*t[41])/3 + (16*t[42])/3 - (16*t[43])/3 - 
       (32*t[44])/3 - (32*t[47])/3 + (64*t[48])/3 + (20*t[49])/3 - 
       (64*t[50])/3 - (26*t[51])/3 + (64*t[52])/3 - (20*t[53])/3 + 40*t[54] - 
       (32*t[59])/3 - (248*t[60])/3 - (488*t[61])/3 - 12*t[62] - 
       (188*t[63])/3 + (116*t[64])/3 - (256*t[65])/9 + (2368*t[66])/9 + 
       (160*t[74])/3 + (32*t[77])/3 + (32*t[78])/3 - (80*t[81])/3 + 
       (176*t[82])/3 - (32*t[84])/3 - (56*t[85])/3 - (64*t[86])/3 + 
       (88*t[87])/3 + (44*t[88])/3 + 20*t[89] + (64*t[95])/3 + 128*t[99] + 
       256*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*(5*t[1] - (797*t[2])/12 + (289*t[3])/4 - 
       (309*t[4])/8 - (67*t[5])/12 - (743*t[6])/16 + (523*t[7])/24 - 
       (3109*t[8])/24 - (353*t[9])/6 - (2057*t[10])/48 - (343*t[11])/16 - 
       (569*t[12])/16 - (469*t[13])/48 - (16477*t[14])/288 - 
       (3941*t[15])/432 + 4*t[19] - (8*t[20])/3 - 4*t[21] + 6*t[22] + 
       4*t[23] + (22*t[24])/3 - 3*t[25] + 3*t[26] - (31*t[27])/3 - 8*t[28] + 
       (2*t[29])/3 - (11*t[30])/3 + 4*t[31] - 23*t[32] + (53*t[33])/3 - 
       (2*t[34])/3 + 6*t[35] - 24*t[36] - (49*t[37])/3 - (11*t[38])/3 + 
       (8*t[39])/3 + (4*t[40])/3 + (5*t[41])/6 - (5*t[42])/6 + 
       (53*t[43])/24 - (23*t[44])/3 - (43*t[45])/12 + t[46] + (5*t[47])/2 - 
       (1393*t[48])/48 + (173*t[49])/16 + (289*t[50])/16 + (55*t[51])/96 - 
       (1219*t[52])/48 - (343*t[53])/48 - (815*t[54])/16 + 6*t[57] + 
       (37*t[59])/6 - (1997*t[60])/24 - (435*t[61])/8 + (2767*t[62])/48 + 
       (4009*t[63])/48 + (569*t[64])/16 + (709*t[65])/24 + (6187*t[66])/72 + 
       4*t[69] - (4*t[70])/3 + (4*t[71])/3 + (34*t[72])/3 - 10*t[73] - 
       9*t[74] - 18*t[75] + t[76] - (166*t[78])/3 + 8*t[79] + (142*t[80])/3 - 
       (55*t[81])/6 + (157*t[82])/6 + (89*t[83])/3 - (475*t[84])/24 - 
       (205*t[85])/24 + 10*t[86] - (465*t[87])/8 - (1859*t[88])/48 - 
       (193*t[89])/16 + 14*t[95] + (16*t[96])/3 + t[97] + 40*t[98] - 
       164*t[99] + 264*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-t[1] + (93*t[2])/2 + (697*t[3])/8 + 
       (187*t[4])/18 + (2959*t[5])/36 - (10157*t[6])/144 - (185*t[7])/4 - 
       (913*t[8])/6 - (2111*t[9])/24 + (1367*t[10])/36 - (1915*t[11])/144 - 
       (200*t[12])/9 - (8627*t[13])/216 - (39281*t[14])/432 + 
       (647*t[15])/36 + (8*t[20])/3 + (91*t[24])/9 - 4*t[25] + (8*t[27])/3 - 
       (23*t[29])/6 + 6*t[30] + 4*t[31] - (56*t[32])/3 - (101*t[33])/9 + 
       (2*t[34])/3 + 4*t[36] - (10*t[37])/3 + (16*t[38])/3 - (16*t[39])/3 + 
       (29*t[40])/6 - (11*t[41])/3 + (11*t[42])/3 - (11*t[43])/3 - 
       (15*t[44])/4 - 5*t[45] - t[46] - 3*t[47] - (3655*t[48])/144 + 
       (139*t[49])/36 + (773*t[50])/144 - (85*t[51])/72 - (773*t[52])/144 + 
       (101*t[53])/36 - (7117*t[54])/144 - (43*t[59])/3 - (12463*t[60])/72 - 
       (13807*t[61])/72 - (281*t[62])/144 + (3305*t[63])/144 + 
       (13613*t[64])/144 - (12683*t[65])/216 + (38207*t[66])/216 - 
       (10*t[70])/3 + (10*t[71])/3 - 4*t[72] - 4*t[73] + 36*t[74] + 4*t[75] + 
       (7*t[76])/3 + (14*t[77])/3 - (22*t[78])/3 - 8*t[79] - 18*t[80] - 
       (109*t[81])/3 + (158*t[82])/9 + (20*t[83])/3 - (375*t[84])/8 - 
       (979*t[85])/72 - 20*t[86] + (2539*t[87])/72 + (427*t[88])/144 - 
       (5513*t[89])/144 + 20*t[95] + (22*t[96])/3 - 2*t[97] + 40*t[98] + 
       48*t[99] + 264*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((-53*t[1])/8 + (151*t[2])/16 - (917*t[3])/48 + 
       (515*t[4])/48 + (489*t[5])/32 + (1001*t[6])/64 - (260*t[7])/3 + 
       (2143*t[8])/48 - (463*t[9])/6 + (251*t[10])/32 - (10763*t[11])/192 - 
       (827*t[12])/48 - (491*t[13])/24 - (4741*t[14])/96 - (1087*t[15])/288 + 
       2*t[19] + 2*t[20] + 2*t[21] - 2*t[23] + (3*t[24])/2 - 3*t[26] + 
       t[27]/2 + (7*t[28])/2 - (23*t[29])/4 - (11*t[30])/2 - 2*t[31] + 
       (61*t[32])/12 + (53*t[33])/4 - (7*t[34])/4 - 7*t[35] + 5*t[36] + 
       (295*t[37])/12 + (7*t[38])/4 - (53*t[39])/4 + (57*t[40])/8 + t[41]/6 - 
       t[42]/6 - (89*t[43])/24 - (133*t[44])/24 + (61*t[45])/4 - 
       (21*t[46])/4 - (43*t[47])/6 + (2645*t[48])/192 - (973*t[49])/96 + 
       (251*t[50])/64 + (667*t[51])/64 - (651*t[52])/64 - (659*t[53])/96 + 
       (2695*t[54])/192 + t[58] - (31*t[59])/24 + (2533*t[60])/32 - 
       (3665*t[61])/32 + (9275*t[62])/192 - (5683*t[63])/192 - 
       (1313*t[64])/64 + (8993*t[65])/96 + (5171*t[66])/96 + (7*t[70])/2 - 
       (7*t[71])/2 + (11*t[72])/2 + 3*t[73] - (47*t[74])/12 - 3*t[75] - 
       (71*t[76])/2 - (115*t[77])/12 + (161*t[78])/3 - (161*t[80])/2 + 
       (65*t[81])/24 - (127*t[82])/8 - 4*t[83] + (3707*t[84])/96 + 
       (907*t[85])/32 - (131*t[86])/6 + (1567*t[87])/96 + (4591*t[88])/192 + 
       (8453*t[89])/192 - (55*t[95])/6 - 27*t[96] - (37*t[97])/4 - 
       234*t[98] + 155*t[99] + 295*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-5*t[1])/2 + (257*t[2])/8 - 
       (149*t[3])/6 - (4573*t[4])/72 - (2887*t[5])/144 + (985*t[6])/18 - 
       (1399*t[7])/12 + (1283*t[8])/12 - (1179*t[9])/16 + (8269*t[10])/144 - 
       (1265*t[11])/9 - (755*t[12])/72 - (5537*t[13])/216 + 
       (10045*t[14])/864 + (12869*t[15])/864 - (83*t[24])/18 + 2*t[25] - 
       2*t[26] - 10*t[27] + 4*t[28] + 6*t[29] + 4*t[30] - 2*t[31] - 
       (47*t[32])/6 - (19*t[33])/9 - 5*t[34] - 16*t[35] + 8*t[36] - 
       (23*t[37])/6 - 12*t[39] + 8*t[40] - (41*t[41])/12 + (41*t[42])/12 + 
       (49*t[43])/12 - (77*t[44])/6 + 16*t[45] - 8*t[46] - (179*t[47])/6 + 
       (370*t[48])/9 - (1441*t[49])/144 - (281*t[50])/9 + (3409*t[51])/288 + 
       (308*t[52])/9 + (289*t[53])/144 + (5993*t[54])/72 - (35*t[59])/6 + 
       (187*t[60])/72 - (12359*t[61])/72 - (1363*t[62])/144 - 
       (10853*t[63])/144 + (8035*t[64])/144 + (6511*t[65])/108 + 
       (12203*t[66])/108 - 2*t[72] + 12*t[73] + (19*t[74])/6 - 20*t[75] + 
       t[76] + (23*t[77])/6 + (23*t[78])/6 - 18*t[80] + (161*t[81])/12 - 
       (581*t[82])/36 - 8*t[83] + (371*t[84])/12 + (43*t[85])/72 + 
       (61*t[86])/3 + (4985*t[87])/72 + (4841*t[88])/144 + 
       (10589*t[89])/144 + (23*t[95])/3 - 12*t[96] - 8*t[97] + 64*t[98] - 
       74*t[99] + 312*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((33*t[1])/8 + (187*t[2])/16 + (1429*t[3])/96 - 
       (5555*t[4])/48 + (1965*t[5])/32 - (973*t[6])/64 - (3085*t[7])/48 + 
       (275*t[8])/3 - (4987*t[9])/48 - (3*t[10])/32 - (27529*t[11])/192 - 
       (2113*t[12])/48 - (6973*t[13])/96 - (3889*t[14])/32 + 
       (14107*t[15])/576 + 2*t[18] + 2*t[19] + t[20]/2 + 6*t[21] - 10*t[23] + 
       (11*t[24])/2 - 2*t[25] + t[26] + 4*t[27] + (61*t[29])/8 + 7*t[30] - 
       4*t[31] + (185*t[32])/12 - (21*t[33])/4 - (87*t[34])/4 - 5*t[36] - 
       (109*t[37])/12 + (5*t[38])/2 - (9*t[39])/2 + (41*t[40])/8 + 
       (43*t[41])/12 - (19*t[42])/12 + (281*t[43])/24 - (55*t[44])/48 + 
       (121*t[45])/4 + (47*t[46])/4 - (100*t[47])/3 + (7459*t[48])/192 - 
       (3971*t[49])/96 - (3*t[50])/64 + (829*t[51])/64 + (179*t[52])/64 + 
       (3971*t[53])/96 + (7469*t[54])/192 + t[58] - (10*t[59])/3 - 
       (5253*t[60])/32 - (6349*t[61])/32 + (12415*t[62])/192 - 
       (18719*t[63])/192 + (12955*t[64])/64 + (11765*t[65])/96 + 
       (10585*t[66])/32 + 2*t[69] - (5*t[70])/2 + (5*t[71])/2 + 11*t[72] + 
       5*t[73] + (119*t[74])/12 - 5*t[75] - (77*t[76])/2 + (97*t[77])/12 + 
       (301*t[78])/12 + 6*t[79] + 48*t[80] - (839*t[81])/24 + (243*t[82])/8 - 
       (3*t[83])/2 + (355*t[84])/96 - (881*t[85])/32 + (377*t[86])/6 + 
       (15155*t[87])/96 + (17987*t[88])/192 + (12943*t[89])/192 - 
       (35*t[95])/6 - (19*t[96])/2 - (15*t[97])/2 - 234*t[98] + 175*t[99] + 
       335*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-125*t[1])/8 - (3179*t[2])/48 + (9809*t[3])/48 + 
       (149*t[4])/48 + (8789*t[5])/96 - (8275*t[6])/64 - (107*t[7])/2 - 
       (14305*t[8])/48 - (6241*t[9])/48 - (1435*t[10])/32 + (2251*t[11])/64 + 
       (765*t[12])/16 + (1915*t[13])/216 - (6955*t[14])/48 - 
       (9197*t[15])/432 - 2*t[19] - 2*t[21] - 2*t[23] - (9*t[24])/2 - 
       (77*t[27])/6 - (17*t[28])/2 + (11*t[29])/12 - (5*t[30])/6 + 6*t[31] - 
       (193*t[32])/4 - (19*t[33])/4 + (81*t[34])/4 - 13*t[35] - 7*t[36] + 
       (85*t[37])/4 - (95*t[38])/12 - (7*t[39])/12 - (133*t[40])/24 - 
       (9*t[41])/2 + (5*t[42])/2 - (5*t[43])/2 - (151*t[44])/8 - 
       (539*t[45])/12 - (41*t[46])/4 + (323*t[47])/6 - (4109*t[48])/64 + 
       (639*t[49])/32 - (539*t[50])/192 - (1865*t[51])/192 + (761*t[52])/64 - 
       (1181*t[53])/96 - (25333*t[54])/192 - 2*t[57] + (15*t[59])/8 - 
       (10291*t[60])/32 - (27427*t[61])/96 + (8297*t[62])/64 + 
       (68525*t[63])/192 + (15199*t[64])/64 - (2623*t[65])/96 + 
       (15491*t[66])/96 - 2*t[69] - (83*t[70])/6 + (83*t[71])/6 - 
       (47*t[72])/6 - 19*t[73] - (287*t[74])/12 + 17*t[75] + (109*t[76])/6 - 
       (57*t[77])/4 - (56*t[78])/3 - 20*t[79] - (281*t[80])/6 - 
       (367*t[81])/24 + (153*t[82])/8 + (65*t[83])/3 - (3775*t[84])/32 - 
       (1831*t[85])/96 + (26*t[86])/3 + (1991*t[87])/96 - (4259*t[88])/64 - 
       (22771*t[89])/192 + (185*t[95])/6 + (73*t[96])/3 - (17*t[97])/4 + 
       190*t[98] - 277*t[99] + 427*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 1, 1, 1}, 1 - v]*((225*t[2])/2 + 18*t[3] - (55*t[4])/2 - 
       (127*t[5])/4 - 4*t[6] - 63*t[7] + 9*t[8] + (309*t[9])/4 + 
       (415*t[10])/4 - 140*t[11] - 31*t[12] - (701*t[13])/6 - 
       (437*t[14])/24 + (1313*t[15])/24 + 2*t[24] - 18*t[32] - 52*t[33] - 
       18*t[37] - 9*t[41] + 9*t[42] - 9*t[43] - 18*t[44] - 18*t[47] + 
       4*t[48] - (19*t[49])/4 - 32*t[50] + (19*t[51])/8 + 32*t[52] + 
       (19*t[53])/4 + (119*t[54])/2 - 18*t[59] - (215*t[60])/2 - 
       (485*t[61])/2 - (145*t[62])/4 - (359*t[63])/4 + (325*t[64])/4 - 
       (272*t[65])/3 + (1076*t[66])/3 + 90*t[74] + 18*t[77] + 18*t[78] - 
       45*t[81] + 43*t[82] - 18*t[84] + t[85]/2 - 36*t[86] + (35*t[87])/2 + 
       (35*t[88])/4 + (71*t[89])/4 + 36*t[95] + 216*t[99] + 432*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      (11*t[1] - (33*t[2])/2 + (145*t[3])/2 - (265*t[4])/3 + (335*t[5])/6 - 
       (47*t[6])/3 - (99*t[7])/4 - (57*t[8])/4 - (435*t[9])/4 - 
       (1243*t[10])/12 - (1195*t[11])/12 + t[12]/3 - (3605*t[13])/72 - 
       (6731*t[14])/36 - (3113*t[15])/72 - 8*t[18] - 8*t[19] + 2*t[21] - 
       2*t[22] - (2*t[24])/3 - 10*t[25] + 16*t[26] + 10*t[27] - 10*t[29] - 
       2*t[30] - 2*t[32] + (52*t[33])/3 - 2*t[34] + 2*t[37] - 8*t[38] - 
       8*t[39] + 4*t[40] + 5*t[41] - 2*t[42] + (43*t[43])/4 + 6*t[44] - 
       (109*t[45])/2 + 14*t[46] + 97*t[47] + (53*t[48])/12 - (71*t[49])/3 - 
       (175*t[50])/12 - (11*t[51])/3 + (127*t[52])/12 + (71*t[53])/3 - 
       (13*t[54])/12 + 2*t[58] + 15*t[59] - (698*t[60])/3 - (1226*t[61])/3 + 
       (1651*t[62])/12 - (1387*t[63])/12 + (1831*t[64])/6 + (1751*t[65])/9 + 
       (6797*t[66])/18 + 8*t[70] - 8*t[71] - 10*t[74] + 11*t[76] + 6*t[77] - 
       54*t[78] + 106*t[80] - 20*t[81] + (131*t[82])/3 - 46*t[84] + 
       (197*t[85])/6 + 104*t[86] + (799*t[87])/6 + (799*t[88])/12 + 
       (388*t[89])/3 - 4*t[95] + 72*t[98] - 240*t[99] + 612*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-6*t[2] - 219*t[3] - 290*t[4] + (5*t[5])/4 + 213*t[6] - (95*t[7])/2 + 
       (709*t[8])/2 + (243*t[9])/4 + (81*t[10])/2 - (873*t[11])/2 + 
       (87*t[12])/4 - (2257*t[13])/9 + (379*t[14])/12 + (779*t[15])/8 - 
       8*t[24] + 10*t[28] + 12*t[29] - 60*t[30] + 68*t[32] + 28*t[33] - 
       12*t[34] + 6*t[35] + 6*t[36] + 12*t[37] - 6*t[38] - 18*t[39] - 
       12*t[40] + 7*t[43] + 8*t[44] + 12*t[45] - 8*t[47] + 207*t[48] - 
       46*t[49] + 31*t[50] + 23*t[51] + 29*t[52] + 22*t[53] + 224*t[54] + 
       33*t[59] - (135*t[60])/2 - (537*t[61])/2 + 110*t[62] + 18*t[63] - 
       (95*t[64])/4 + (2725*t[65])/6 + (4333*t[66])/6 + 24*t[70] - 24*t[71] + 
       96*t[73] + 6*t[74] - 134*t[75] - 84*t[76] - 2*t[77] + 98*t[78] + 
       10*t[79] + 4*t[80] - 67*t[81] + 27*t[82] - 40*t[83] + 58*t[84] + 
       (61*t[85])/2 + 50*t[86] + (193*t[87])/2 + (673*t[88])/4 + 
       (661*t[89])/4 - 24*t[95] - 72*t[96] - 432*t[98] + 288*t[99] + 
       624*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      (4*t[1] - (7*t[2])/2 + 52*t[3] - (1139*t[4])/6 + (1609*t[5])/12 - 
       (551*t[6])/12 - (69*t[7])/4 + (65*t[8])/4 - 135*t[9] - (148*t[10])/3 - 
       (839*t[11])/6 + (82*t[12])/3 - (421*t[13])/72 - (14497*t[14])/72 - 
       (469*t[15])/36 + 2*t[18] - 6*t[19] + 10*t[21] - 2*t[22] - 10*t[23] - 
       (8*t[24])/3 - 8*t[25] + 8*t[26] + 8*t[27] - 8*t[29] - 2*t[30] + 
       6*t[32] + (22*t[33])/3 - 2*t[34] + 8*t[36] + 2*t[37] + 2*t[38] - 
       6*t[39] + 14*t[41] - 12*t[42] + (67*t[43])/4 + 10*t[44] + 
       (29*t[45])/2 + 13*t[46] + 3*t[47] - (17*t[48])/6 - (629*t[49])/12 - 
       (71*t[50])/6 + (455*t[51])/24 + (47*t[52])/6 + (629*t[53])/12 + 
       (14*t[54])/3 + 2*t[58] + 4*t[59] - (1447*t[60])/6 - (2431*t[61])/6 + 
       (1141*t[62])/12 - (2485*t[63])/12 + (4343*t[64])/12 + (2738*t[65])/9 + 
       (2908*t[66])/9 - 4*t[70] + 4*t[71] - 22*t[74] + 20*t[76] + 2*t[77] - 
       58*t[78] + 136*t[80] - 13*t[81] + (101*t[82])/3 - 4*t[83] - 51*t[84] + 
       (65*t[85])/6 + 126*t[86] + (1111*t[87])/6 + (1111*t[88])/12 + 
       (1831*t[89])/12 - 4*t[95] - 192*t[99] + 648*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*(10*t[1] - (85*t[2])/2 + 
       33*t[3] + (17*t[4])/3 + (673*t[5])/12 - (56*t[6])/3 - (151*t[7])/2 + 
       (73*t[8])/2 - (551*t[9])/4 + (173*t[10])/12 - (202*t[11])/3 - 
       (236*t[12])/3 - (571*t[13])/18 - (1202*t[14])/9 - (2045*t[15])/72 - 
       (14*t[24])/3 - 16*t[25] + 2*t[26] + 6*t[27] + 8*t[30] + 2*t[32] + 
       (4*t[33])/3 - 6*t[36] + 46*t[37] + 14*t[38] - 8*t[39] - 2*t[40] + 
       3*t[41] - 3*t[42] + 5*t[43] + 4*t[44] - 4*t[45] - 2*t[46] + 10*t[47] + 
       (55*t[48])/6 + (343*t[49])/12 + (31*t[50])/6 - (37*t[51])/6 + 
       (17*t[52])/6 - (211*t[53])/12 - (203*t[54])/6 - 2*t[59] - 
       (529*t[60])/6 - (1109*t[61])/3 + (352*t[62])/3 - (7*t[63])/3 + 
       (302*t[64])/3 + (425*t[65])/9 + (1168*t[66])/9 - 4*t[70] + 4*t[71] - 
       12*t[74] - 2*t[76] - 4*t[77] - 26*t[78] + 4*t[79] - 76*t[80] - 
       4*t[81] + (92*t[82])/3 - 2*t[83] - 42*t[84] + (187*t[85])/3 + 
       40*t[86] + (155*t[87])/3 + (59*t[88])/6 + (859*t[89])/12 + 4*t[96] - 
       4*t[97] - 192*t[99] + 648*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*(-25*t[1] + 2*t[2] + 28*t[3] - 
       (17*t[4])/6 + (631*t[5])/12 - (217*t[6])/6 - (89*t[7])/2 - 
       (109*t[8])/2 - (345*t[9])/4 + (343*t[10])/6 - (491*t[11])/6 - 
       (17*t[12])/12 - (190*t[13])/9 - (6043*t[14])/72 - (1757*t[15])/72 - 
       (8*t[24])/3 - 2*t[25] + 22*t[26] + 12*t[30] - (8*t[33])/3 + 8*t[37] - 
       20*t[38] - 15*t[39] - 4*t[40] + 2*t[43] + 2*t[44] - 16*t[45] - 
       2*t[46] + 32*t[47] - (83*t[48])/6 + (143*t[49])/6 + (37*t[50])/6 - 
       (301*t[51])/24 - (37*t[52])/6 - (107*t[53])/6 - (151*t[54])/3 + 
       14*t[59] - (787*t[60])/6 - (899*t[61])/3 + (100*t[62])/3 - 
       (160*t[63])/3 + (511*t[64])/6 + (212*t[65])/9 + (1108*t[66])/9 + 
       13*t[76] + 10*t[77] - 47*t[78] - 8*t[80] - 10*t[81] + (32*t[82])/3 - 
       33*t[84] + (124*t[85])/3 + 40*t[86] + (293*t[87])/3 + (233*t[88])/6 + 
       (973*t[89])/12 + 6*t[96] + 72*t[98] - 216*t[99] + 660*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      (18*t[1] + (159*t[2])/2 - 122*t[3] - (67*t[4])/2 + (203*t[5])/2 + 
       (13*t[6])/2 - (493*t[7])/2 + (789*t[8])/2 - 73*t[9] + (851*t[10])/4 - 
       60*t[11] - (415*t[12])/4 - (3635*t[13])/36 - (2165*t[14])/24 - 
       (11*t[15])/4 + 2*t[18] + 6*t[22] - 2*t[24] + 54*t[28] + 16*t[29] - 
       66*t[30] + 45*t[32] - 2*t[33] - 78*t[34] - 38*t[35] - 6*t[36] + 
       8*t[37] + 12*t[38] - 9*t[40] + 4*t[41] - 4*t[42] - 42*t[44] + 
       78*t[45] - 62*t[47] + 100*t[48] - (9*t[49])/4 - 57*t[50] + 
       (33*t[51])/8 + 69*t[52] + (9*t[53])/4 + (75*t[54])/2 - 16*t[59] + 
       159*t[60] - 94*t[61] - (809*t[62])/4 - (2855*t[63])/4 + 
       (483*t[64])/2 + (191*t[65])/3 - (292*t[66])/3 - 10*t[69] + 56*t[70] - 
       56*t[71] + 96*t[73] + 100*t[74] - 116*t[75] - 66*t[76] + 24*t[77] + 
       38*t[78] + 34*t[79] - 34*t[80] - 93*t[81] + 17*t[82] - 87*t[83] + 
       (73*t[84])/2 - 31*t[85] - 22*t[86] + 115*t[87] + (355*t[88])/2 + 
       176*t[89] - 12*t[95] - 24*t[96] + 18*t[97] - 432*t[98] + 360*t[99] + 
       768*t[100])*\[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-11*t[1])/2 + (345*t[2])/4 + (591*t[3])/4 - (3013*t[4])/12 + 
       (7955*t[5])/24 - (2149*t[6])/24 - 14*t[7] - (609*t[8])/2 - 
       (1433*t[9])/8 - (1055*t[10])/24 - (8195*t[11])/24 - (517*t[12])/6 - 
       (359*t[13])/12 - (44609*t[14])/144 - (17921*t[15])/144 - 
       (71*t[24])/3 - 15*t[29] + 12*t[30] + 15*t[32] - (56*t[33])/3 - 
       11*t[34] + 120*t[36] + 7*t[37] + 2*t[38] - 28*t[39] + 27*t[40] - 
       2*t[41] + 2*t[42] + (55*t[43])/2 + (139*t[44])/2 + 21*t[45] - 
       (1535*t[48])/24 - (1765*t[49])/24 + (229*t[50])/24 + (1837*t[51])/48 - 
       (637*t[52])/24 + (1381*t[53])/24 + (421*t[54])/24 + 6*t[59] - 
       (869*t[60])/3 - (4513*t[61])/6 + (2485*t[62])/12 - (1693*t[63])/12 + 
       (173*t[64])/3 + (12251*t[65])/36 + (14299*t[66])/36 - 47*t[74] - 
       39*t[76] - 13*t[77] + 35*t[78] + 70*t[80] - (43*t[81])/2 + 
       (475*t[82])/6 - (87*t[84])/4 + (101*t[85])/6 + 110*t[86] + 
       (1729*t[87])/6 + (1729*t[88])/12 + (484*t[89])/3 + 10*t[95] - 
       24*t[96] - 20*t[97] - 192*t[98] - 180*t[99] + 1032*t[100])*
      \[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - w]*((-5*t[1])/2 - (1141*t[2])/4 - 
       (17*t[3])/2 + (509*t[4])/12 - (4555*t[5])/24 - (2431*t[6])/24 - 
       127*t[7] - (403*t[8])/2 - (647*t[9])/8 + (703*t[10])/24 - 
       (1829*t[11])/24 + (121*t[12])/3 - (313*t[13])/9 - (25379*t[14])/144 - 
       (18245*t[15])/144 - 2*t[23] - (257*t[24])/3 + 6*t[29] + 96*t[30] + 
       t[32] - (56*t[33])/3 - 5*t[34] - 120*t[36] + 55*t[37] + 5*t[38] - 
       31*t[39] + 39*t[40] - t[41] + t[42] + (7*t[43])/2 + 38*t[44] + 
       2*t[45] + 39*t[47] - (209*t[48])/24 + (833*t[49])/24 + 
       (1051*t[50])/24 - (833*t[51])/48 - (1651*t[52])/24 - (1121*t[53])/24 - 
       (2585*t[54])/24 + (19*t[59])/2 - (107*t[60])/3 - (1274*t[61])/3 + 
       (1120*t[62])/3 + (605*t[63])/3 + (1463*t[64])/12 + (4793*t[65])/36 + 
       (5485*t[66])/36 - 95*t[74] - 64*t[76] - 11*t[77] + 71*t[78] - 
       148*t[80] + (27*t[81])/2 + (61*t[82])/6 - (77*t[84])/4 + 
       (361*t[85])/3 + 14*t[86] + (284*t[87])/3 + (142*t[88])/3 + 
       (418*t[89])/3 + 10*t[95] - 18*t[96] - 17*t[97] - 192*t[98] - 
       180*t[99] + 1032*t[100])*\[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((43*t[1])/2 - (9*t[2])/2 + 131*t[3] - (529*t[4])/2 + (187*t[5])/2 + 
       (303*t[6])/4 - (325*t[7])/2 + (575*t[8])/2 - 213*t[9] + 
       (561*t[10])/4 - (2281*t[11])/4 - (283*t[12])/4 - (5825*t[13])/36 - 
       (7501*t[14])/24 - (155*t[15])/6 + 8*t[24] - 32*t[29] - 8*t[30] - 
       6*t[32] - 2*t[33] - 7*t[34] - 18*t[37] + 4*t[38] - 18*t[39] + 
       21*t[40] - (5*t[41])/2 + (5*t[42])/2 + 23*t[43] + 2*t[44] - 8*t[45] + 
       30*t[47] + (437*t[48])/4 - (167*t[49])/4 - (587*t[50])/4 + 
       (147*t[51])/8 + (559*t[52])/4 + (175*t[53])/4 + (861*t[54])/4 - 
       (925*t[60])/2 - (1799*t[61])/2 + (1005*t[62])/4 - (1301*t[63])/4 + 
       (2007*t[64])/4 + (1214*t[65])/3 + (2996*t[66])/3 + 8*t[70] - 8*t[71] + 
       30*t[74] + 24*t[76] + 30*t[77] - 90*t[78] + 152*t[80] - 51*t[81] + 
       125*t[82] - 94*t[84] + (43*t[85])/2 + 92*t[86] + (673*t[87])/2 + 
       (673*t[88])/4 + (1181*t[89])/4 + 12*t[95] - 96*t[98] - 72*t[99] + 
       1368*t[100])*\[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-23*t[1])/2 + 3*t[2] - (59*t[3])/2 + 52*t[4] - 51*t[5] - 
       (129*t[6])/2 - (247*t[7])/2 - (351*t[8])/2 + (345*t[9])/2 + 
       (473*t[10])/2 - 153*t[11] + 27*t[12] - (4597*t[13])/36 - 
       (401*t[14])/6 - (211*t[15])/6 - 42*t[24] + 32*t[30] + 8*t[32] - 
       74*t[33] - 3*t[34] + 46*t[37] + 3*t[38] + 2*t[39] - 8*t[40] - 
       (27*t[41])/2 + (27*t[42])/2 - 9*t[43] + 14*t[44] + 30*t[45] - 
       24*t[47] - (119*t[48])/2 + 46*t[49] + (53*t[50])/2 - 17*t[51] - 
       (27*t[52])/2 - 22*t[53] - (169*t[54])/2 - (19*t[59])/2 - 
       (233*t[60])/2 - (1081*t[61])/2 + (49*t[62])/2 + (23*t[63])/2 + 
       (433*t[64])/4 - (137*t[65])/2 + (511*t[66])/3 + 30*t[74] + 62*t[76] + 
       8*t[77] - 144*t[78] - 128*t[80] + 3*t[81] + 15*t[82] - (137*t[84])/2 + 
       137*t[85] - 36*t[86] + 79*t[87] + (79*t[88])/2 + (405*t[89])/4 + 
       12*t[95] - t[97] - 96*t[98] - 72*t[99] + 1368*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 0, 1, 1}, 1 - u]*(47*t[1] - (59*t[2])/2 + 252*t[3] - 
       (3125*t[4])/6 + (2185*t[5])/12 + (1013*t[6])/6 - 326*t[7] + 688*t[8] - 
       (1869*t[9])/4 + (4133*t[10])/12 - (6995*t[11])/6 - (841*t[12])/6 - 
       317*t[13] - (44779*t[14])/72 - (3275*t[15])/72 + (94*t[24])/3 - 
       64*t[29] - 16*t[30] - 10*t[32] + (52*t[33])/3 - 12*t[34] - 34*t[37] + 
       12*t[38] - 36*t[39] + 42*t[40] - 4*t[41] + 4*t[42] + 47*t[43] + 
       6*t[44] + 46*t[47] + (1459*t[48])/6 - (1061*t[49])/12 - 
       (1757*t[50])/6 + (917*t[51])/24 + (1613*t[52])/6 + (1061*t[53])/12 + 
       (1325*t[54])/3 - (5485*t[60])/6 - (10591*t[61])/6 + (5785*t[62])/12 - 
       (8353*t[63])/12 + (11963*t[64])/12 + (7718*t[65])/9 + 
       (17728*t[66])/9 + 16*t[70] - 16*t[71] + 50*t[74] + 40*t[76] + 
       58*t[77] - 174*t[78] + 304*t[80] - 105*t[81] + (725*t[82])/3 - 
       190*t[84] + (143*t[85])/6 + 188*t[86] + (4237*t[87])/6 + 
       (4237*t[88])/12 + (7201*t[89])/12 + 20*t[95] - 288*t[98] - 72*t[99] + 
       2736*t[100])*\[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - w]*
      (-23*t[1] + (11*t[2])/2 - 73*t[3] + (733*t[4])/6 - (1379*t[5])/12 - 
       (278*t[6])/3 - 232*t[7] - 346*t[8] + (1567*t[9])/4 + (5975*t[10])/12 - 
       (991*t[11])/3 + (187*t[12])/3 - (2293*t[13])/9 - (9817*t[14])/72 - 
       (4835*t[15])/72 - (242*t[24])/3 + 64*t[30] + 18*t[32] - 
       (416*t[33])/3 - 6*t[34] + 94*t[37] + 6*t[38] + 4*t[39] - 16*t[40] - 
       26*t[41] + 26*t[42] - 17*t[43] + 30*t[44] + 60*t[45] - 46*t[47] - 
       (352*t[48])/3 + (1081*t[49])/12 + (188*t[50])/3 - (721*t[51])/24 - 
       (98*t[52])/3 - (217*t[53])/12 - (965*t[54])/6 - 19*t[59] - 
       (1453*t[60])/6 - (6415*t[61])/6 + (547*t[62])/12 + (389*t[63])/12 + 
       (2639*t[64])/12 - (1009*t[65])/9 + (2938*t[66])/9 + 50*t[74] + 
       100*t[76] + 14*t[77] - 266*t[78] - 256*t[80] + 3*t[81] + 
       (77*t[82])/3 - 129*t[84] + (1661*t[85])/6 - 68*t[86] + (967*t[87])/6 + 
       (967*t[88])/12 + (2377*t[89])/12 + 20*t[95] - 6*t[97] - 288*t[98] - 
       72*t[99] + 2736*t[100])*\[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-18*t[1] + (543*t[2])/2 + (1659*t[3])/4 - (1597*t[4])/2 + 
       (4025*t[5])/4 - (1967*t[6])/8 + (21*t[7])/2 - 906*t[8] - 464*t[9] - 
       (479*t[10])/4 - (8857*t[11])/8 - (509*t[12])/2 - (1667*t[13])/12 - 
       (5429*t[14])/6 - (2771*t[15])/8 - 70*t[24] - 45*t[29] + 36*t[30] + 
       42*t[32] - 64*t[33] - 12*t[34] + 360*t[36] + 18*t[37] - 60*t[39] + 
       58*t[40] - 21*t[41] + 21*t[42] + 81*t[43] + (411*t[44])/2 - 24*t[45] + 
       102*t[47] - (1381*t[48])/8 - (805*t[49])/4 + (143*t[50])/8 + 
       (829*t[51])/8 - (335*t[52])/8 + (613*t[53])/4 + (653*t[54])/8 + 
       3*t[59] - (3595*t[60])/4 - (9547*t[61])/4 + (4903*t[62])/8 - 
       (2527*t[63])/8 + (1781*t[64])/8 + (11635*t[65])/12 + 
       (15305*t[66])/12 - 126*t[74] - 96*t[76] - 50*t[77] + 96*t[78] + 
       228*t[80] - 63*t[81] + 283*t[82] - (333*t[84])/4 + (245*t[85])/4 + 
       324*t[86] + (3331*t[87])/4 + (3331*t[88])/8 + (3619*t[89])/8 + 
       36*t[95] - 72*t[96] - 54*t[97] - 432*t[98] - 648*t[99] + 3096*t[100])*
      \[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - w]*((-1635*t[2])/2 - 60*t[3] + 
       (365*t[4])/2 - (2527*t[5])/4 - (2517*t[6])/8 - 396*t[7] - 
       (879*t[8])/2 - (387*t[9])/2 + (631*t[10])/4 - (1123*t[11])/8 + 
       (289*t[12])/2 - 82*t[13] - (1408*t[14])/3 - (1537*t[15])/4 - 4*t[23] - 
       250*t[24] + 18*t[29] + 288*t[30] + 36*t[32] - 94*t[33] - 30*t[34] - 
       360*t[36] + 162*t[37] + 18*t[38] - 54*t[39] + 81*t[40] + 7*t[41] - 
       7*t[42] + 9*t[43] + 111*t[44] + 78*t[45] + 24*t[47] - (43*t[48])/8 + 
       (473*t[49])/4 + (833*t[50])/8 - (473*t[51])/8 - (1409*t[52])/8 - 
       (569*t[53])/4 - (2665*t[54])/8 + 30*t[59] - (133*t[60])/4 - 
       (4615*t[61])/4 + (7615*t[62])/8 + (3281*t[63])/8 + (3173*t[64])/8 + 
       (4579*t[65])/12 + (4181*t[66])/12 - 270*t[74] - 30*t[76] + 6*t[77] - 
       408*t[80] + 75*t[81] - 11*t[82] - (273*t[84])/4 + (1337*t[85])/4 + 
       36*t[86] + (1039*t[87])/4 + (1039*t[88])/8 + (3697*t[89])/8 + 
       36*t[95] - 36*t[96] - 36*t[97] - 432*t[98] - 648*t[99] + 3096*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-13*t[1])/2 - (35*t[2])/8 - (3013*t[3])/32 + (553*t[4])/6 - 
       (655*t[5])/6 - (167*t[6])/12 + (1709*t[7])/16 - (133*t[8])/16 + 
       (3407*t[9])/16 - (659*t[10])/24 + (3451*t[11])/24 + (2041*t[12])/48 + 
       (12413*t[13])/288 + (20623*t[14])/144 + (1525*t[15])/64 + 4*t[19] - 
       4*t[20] - 4*t[21] + 8*t[23] - (44*t[24])/3 + 2*t[25] - 2*t[26] + 
       (11*t[28])/2 - (49*t[29])/8 + (15*t[30])/8 - 4*t[31] + (55*t[32])/4 - 
       (169*t[33])/24 + (79*t[34])/4 - 14*t[35] - 18*t[36] + 2*t[37] - 
       5*t[38] + 10*t[39] + 5*t[40] + (3*t[41])/2 - (3*t[42])/2 - 7*t[43] - 
       (131*t[44])/8 - 11*t[45] + t[46] + 22*t[47] - (1687*t[48])/48 + 
       (43*t[49])/12 + (1847*t[50])/48 - (49*t[51])/24 - (2567*t[52])/48 + 
       (5*t[53])/12 + (11*t[54])/12 - 8*t[57] + (41*t[59])/8 + 
       (409*t[60])/3 + (784*t[61])/3 - (2521*t[62])/24 + (761*t[63])/12 - 
       (8185*t[64])/48 - (3649*t[65])/144 - (25079*t[66])/144 - 8*t[69] + 
       4*t[70] - 4*t[71] - (51*t[73])/2 - 2*t[74] + (109*t[75])/2 - 
       11*t[76] + 6*t[77] + 52*t[78] - (13*t[79])/2 - 12*t[80] + 3*t[81] - 
       (58*t[82])/3 + (137*t[83])/2 + (941*t[84])/16 - (329*t[85])/48 + 
       (31*t[86])/2 - (3517*t[87])/48 - (1585*t[88])/96 - (1027*t[89])/24 - 
       12*t[95] - 4*t[96] - 3*t[97] - 88*t[98] + 104*t[99] - (307*t[100])/2 - 
       24*t[101])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*(-t[1]/2 + (331*t[2])/8 + (451*t[3])/32 - 
       (389*t[4])/6 + (334*t[5])/3 + (301*t[6])/12 - (747*t[7])/16 - 
       (397*t[8])/16 - (737*t[9])/16 - (251*t[10])/24 - (2465*t[11])/24 - 
       (167*t[12])/48 - (12179*t[13])/288 - (5585*t[14])/144 + 
       (285*t[15])/64 - (2*t[24])/3 + 4*t[25] - 2*t[26] + 4*t[27] - 
       (47*t[28])/2 + (59*t[29])/8 - (5*t[30])/8 + 2*t[31] + (51*t[32])/4 - 
       (133*t[33])/24 - (41*t[34])/4 + 18*t[35] + 18*t[36] - 4*t[37] - 
       2*t[38] + t[39] + t[40] - (11*t[41])/2 + (11*t[42])/2 + t[43] + 
       t[44]/8 + 6*t[45] - t[46] - 20*t[47] - (7*t[48])/48 - (35*t[49])/12 - 
       (313*t[50])/48 + (23*t[51])/24 - (119*t[52])/48 + (131*t[53])/12 + 
       (281*t[54])/12 + (19*t[59])/8 - (433*t[60])/6 - (647*t[61])/12 + 
       (3179*t[62])/24 + (251*t[63])/12 - (553*t[64])/48 - 
       (17641*t[65])/144 + (22729*t[66])/144 + 4*t[70] - 4*t[71] + 6*t[72] - 
       (47*t[73])/2 + 4*t[74] + (69*t[75])/2 - 7*t[76] - 18*t[77] - t[78] + 
       (15*t[79])/2 + 16*t[80] - 28*t[81] + (116*t[82])/3 + (29*t[83])/2 - 
       (211*t[84])/16 - (665*t[85])/48 - (173*t[86])/2 - (421*t[87])/48 + 
       (1415*t[88])/96 - (1363*t[89])/24 - 8*t[95] + 2*t[96] + 2*t[97] - 
       88*t[98] + 128*t[99] - (211*t[100])/2 - 24*t[101])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*(-t[1] - (1843*t[2])/24 - 
       (4765*t[3])/24 + (2993*t[4])/24 - (2869*t[5])/16 + (4117*t[6])/16 + 
       (611*t[7])/6 + (1509*t[8])/4 + (9191*t[9])/48 - (4081*t[10])/48 + 
       (2235*t[11])/16 + (233*t[12])/4 + (5075*t[13])/54 + 
       (83173*t[14])/288 - (1381*t[15])/864 + 4*t[19] + (2*t[20])/3 - 
       4*t[21] - 8*t[22] + 4*t[23] - (5*t[24])/6 - (40*t[27])/3 - 12*t[28] + 
       (73*t[29])/6 - 30*t[30] - 2*t[31] + (27*t[32])/2 + (82*t[33])/3 + 
       (50*t[34])/3 - 44*t[36] - t[37]/6 - (20*t[38])/3 - (28*t[39])/3 - 
       (103*t[40])/6 + (95*t[41])/12 - (95*t[42])/12 - (85*t[43])/12 - 
       (487*t[44])/12 - 20*t[45] - 13*t[46] + (253*t[47])/6 + 
       (3253*t[48])/48 + (671*t[49])/16 - (1327*t[50])/48 - (575*t[51])/32 + 
       (2671*t[52])/48 - (2077*t[53])/48 + (4789*t[54])/48 - 4*t[57] + 
       (113*t[59])/6 + (4477*t[60])/12 + (1670*t[61])/3 - (1307*t[62])/24 - 
       (291*t[63])/8 - (1175*t[64])/8 - (4817*t[65])/24 - (28177*t[66])/72 + 
       (14*t[70])/3 - (14*t[71])/3 + 12*t[72] - (71*t[74])/6 + 16*t[75] - 
       (5*t[76])/3 - (21*t[77])/2 + (47*t[78])/2 + 8*t[79] + 6*t[80] + 
       (451*t[81])/12 - (317*t[82])/12 - (4*t[83])/3 + (1693*t[84])/24 + 
       (289*t[85])/12 + (25*t[86])/3 - (2431*t[87])/12 - (1847*t[88])/24 - 
       (2341*t[89])/24 - (55*t[95])/3 + (58*t[96])/3 + 10*t[97] + 24*t[98] + 
       82*t[99] - 860*t[100] + 48*t[101])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*(11*t[1] + (3503*t[2])/24 - 
       (1819*t[3])/12 + (1187*t[4])/24 - (817*t[5])/48 + (1357*t[6])/48 + 
       (497*t[7])/4 + (1321*t[8])/6 + (13001*t[9])/48 + (845*t[10])/48 + 
       (9275*t[11])/48 + (511*t[12])/12 + (18967*t[13])/216 + 
       (84383*t[14])/288 + (5915*t[15])/864 + 4*t[18] - 8*t[22] + 6*t[23] + 
       (59*t[24])/6 + (26*t[27])/3 + 2*t[28] - (13*t[29])/3 - (52*t[30])/3 + 
       (49*t[32])/2 - (47*t[33])/3 + 28*t[34] + 20*t[35] + 44*t[36] - 
       (45*t[37])/2 + (16*t[38])/3 + (26*t[39])/3 - (13*t[40])/6 + 
       (27*t[41])/4 - (19*t[42])/4 + (3*t[43])/4 - 27*t[44] - (35*t[45])/3 + 
       3*t[46] + (35*t[47])/6 - (229*t[48])/48 - (329*t[49])/48 - 
       (251*t[50])/16 + (529*t[51])/96 + (817*t[52])/48 + (265*t[53])/48 + 
       (1687*t[54])/48 - 4*t[57] - (23*t[59])/2 + (4621*t[60])/12 + 
       (5135*t[61])/12 - (929*t[62])/3 - (1127*t[63])/3 - (1055*t[64])/6 - 
       (13511*t[65])/72 - (38017*t[66])/72 - 12*t[69] + (2*t[70])/3 - 
       (2*t[71])/3 + (8*t[72])/3 + 8*t[73] + (227*t[74])/6 + 8*t[75] + 
       (77*t[76])/3 - (3*t[77])/2 + (131*t[78])/6 + 4*t[79] + (362*t[80])/3 + 
       (265*t[81])/12 + (53*t[82])/12 + (104*t[83])/3 + (239*t[84])/8 - 
       (269*t[85])/6 + (161*t[86])/3 - 88*t[87] - (59*t[88])/3 - 
       (569*t[89])/8 - (17*t[95])/3 + (34*t[96])/3 + 22*t[97] + 24*t[98] + 
       158*t[99] - 708*t[100] + 48*t[101])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*(t[1] - 111*t[2] - (5*t[3])/2 + 
       (181*t[4])/12 - (1913*t[5])/24 - (23*t[6])/6 - (49*t[7])/2 - 65*t[8] - 
       (395*t[9])/8 + (1367*t[10])/24 - (377*t[11])/12 - (28*t[12])/3 + 
       (451*t[13])/36 - (8005*t[14])/144 - (5533*t[15])/144 - 8*t[21] + 
       8*t[23] + (2*t[24])/3 - 4*t[27] - 20*t[28] + 5*t[29] + 24*t[30] + 
       4*t[31] + 16*t[32] + (110*t[33])/3 - 10*t[34] + 12*t[35] - 40*t[36] + 
       28*t[37] + 4*t[38] - 40*t[39] + 13*t[40] - t[41] + t[42] + 
       (17*t[43])/4 + (11*t[44])/2 + 29*t[45] - 8*t[47] - (25*t[48])/6 + 
       (373*t[49])/24 + (131*t[50])/6 - (49*t[51])/48 - (23*t[52])/6 - 
       (1237*t[53])/24 - (599*t[54])/12 + 4*t[57] + 6*t[59] + 
       (929*t[60])/12 - (1957*t[61])/12 + (2581*t[62])/24 + (2963*t[63])/24 + 
       (131*t[64])/24 + (4315*t[65])/36 - (1999*t[66])/36 + 12*t[69] - 
       28*t[73] - 48*t[74] + 8*t[75] - 52*t[76] - 8*t[77] + 28*t[78] - 
       32*t[79] - 170*t[80] + 28*t[81] - (206*t[82])/3 + 14*t[83] - 
       (81*t[84])/4 + (641*t[85])/12 + 27*t[86] - (473*t[87])/12 - 
       (521*t[88])/24 + (1471*t[89])/24 - 8*t[95] - 28*t[96] - 12*t[97] - 
       416*t[98] + 184*t[99] + 596*t[100] + 96*t[101])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*(11*t[1] + (25*t[2])/2 + 
       (235*t[3])/2 - (989*t[4])/12 + (1777*t[5])/24 - (250*t[6])/3 - 
       (381*t[7])/2 + 61*t[8] - (1693*t[9])/8 + (5417*t[10])/24 - 
       (2987*t[11])/12 - (287*t[12])/6 - (4135*t[13])/36 - 
       (28027*t[14])/144 - (3739*t[15])/144 - 4*t[19] + 4*t[21] - 12*t[23] + 
       (20*t[24])/3 + 8*t[27] + 12*t[28] - 3*t[29] + 22*t[30] + 4*t[31] + 
       14*t[32] - (4*t[33])/3 - 62*t[34] - 8*t[35] + 40*t[36] - 2*t[37] + 
       14*t[38] - 12*t[39] - t[40] - 6*t[41] + 6*t[42] + (5*t[43])/4 + 
       (11*t[44])/2 + 17*t[45] + 4*t[46] - 36*t[47] + (40*t[48])/3 - 
       (893*t[49])/24 - (104*t[50])/3 + (1097*t[51])/48 + (182*t[52])/3 + 
       (413*t[53])/24 + (505*t[54])/12 + 4*t[57] - 15*t[59] - 
       (1981*t[60])/12 - (5047*t[61])/12 + (2455*t[62])/24 - 
       (2815*t[63])/24 - (2035*t[64])/24 + (6259*t[65])/36 + 
       (14525*t[66])/36 - 28*t[73] - 6*t[74] + 12*t[75] - 74*t[76] + 
       2*t[77] + 44*t[78] - 4*t[79] - 110*t[80] - 33*t[81] + (205*t[82])/3 - 
       6*t[83] - (305*t[84])/4 - (673*t[85])/12 - 113*t[86] + 
       (2353*t[87])/12 + (2305*t[88])/24 + (3037*t[89])/24 + 12*t[95] - 
       12*t[96] - 2*t[97] - 416*t[98] + 304*t[99] + 836*t[100] + 96*t[101])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((6*t[1])/5 - (547*t[2])/10 - (703*t[3])/5 + (17*t[4])/2 - 
       (347*t[5])/4 + (523*t[6])/4 + 257*t[8] + (1279*t[9])/20 - 
       (221*t[10])/4 + (581*t[11])/20 + (291*t[12])/5 + (1613*t[13])/45 + 
       (1949*t[14])/24 - (589*t[15])/24 - (4*t[17])/5 + (16*t[18])/5 + 
       4*t[22] + 4*t[24] - (8*t[27])/5 - (56*t[28])/5 - (8*t[29])/5 - 
       (44*t[30])/5 + (12*t[31])/5 + (212*t[32])/5 + (74*t[33])/5 + 
       (72*t[34])/5 + (28*t[35])/5 - 40*t[36] + (54*t[37])/5 - (6*t[38])/5 - 
       (26*t[39])/5 - (74*t[40])/5 + (37*t[41])/5 - (37*t[42])/5 + 5*t[43] + 
       8*t[44] + (24*t[45])/5 - 4*t[46] - (14*t[47])/5 + (497*t[48])/20 + 
       (5*t[49])/4 - (179*t[50])/20 + (39*t[51])/40 + (563*t[52])/20 - 
       (121*t[53])/20 + (973*t[54])/20 + (4*t[56])/5 - 4*t[57] + 
       (56*t[59])/5 + (1512*t[60])/5 + (872*t[61])/5 + (147*t[62])/5 - 
       (517*t[63])/5 - (1067*t[64])/10 + (1747*t[65])/30 - (5987*t[66])/30 + 
       (8*t[68])/5 + (48*t[70])/5 - (48*t[71])/5 + (48*t[72])/5 + 
       (48*t[73])/5 - (118*t[74])/5 - (84*t[75])/5 + (12*t[76])/5 + 
       (6*t[77])/5 - (6*t[78])/5 + (164*t[79])/5 - (68*t[80])/5 + 
       (139*t[81])/5 - (167*t[82])/5 - (22*t[83])/5 + (701*t[84])/10 + 
       (349*t[85])/5 + 32*t[86] - (321*t[87])/5 + (27*t[88])/2 + 
       (128*t[89])/5 - (156*t[95])/5 - (84*t[96])/5 + (12*t[97])/5 - 
       96*t[99] - (1422*t[100])/5)*\[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - u]*
      ((-31*t[1])/5 - (1463*t[2])/40 + 52*t[3] - (883*t[4])/40 - 
       (455*t[5])/16 + (287*t[6])/20 + (389*t[7])/20 - (341*t[8])/4 + 
       (3233*t[9])/80 - (4213*t[10])/80 + (1097*t[11])/20 + (899*t[12])/20 + 
       (8011*t[13])/120 + (1075*t[14])/96 - (1783*t[15])/96 + (8*t[17])/5 + 
       (24*t[19])/5 - (24*t[20])/5 - (24*t[21])/5 + (12*t[22])/5 + 
       (44*t[23])/5 + (219*t[24])/10 - (12*t[25])/5 + (12*t[26])/5 - 
       (36*t[27])/5 - 12*t[29] - 12*t[30] + (24*t[31])/5 - (169*t[32])/10 + 
       (186*t[33])/5 + (78*t[34])/5 - (17*t[37])/2 - (14*t[38])/5 + 
       (108*t[39])/5 - (94*t[40])/5 + (87*t[41])/20 - (63*t[42])/20 + 
       (59*t[43])/20 + (143*t[44])/10 - (84*t[45])/5 + (4*t[46])/5 + 
       (179*t[47])/10 - (1269*t[48])/20 - (107*t[49])/16 - (41*t[50])/20 - 
       (433*t[51])/160 + (561*t[52])/20 + (171*t[53])/16 - (947*t[54])/40 - 
       (4*t[55])/5 + (79*t[59])/10 + (1377*t[60])/40 + (1091*t[61])/40 + 
       (4079*t[62])/80 + (9753*t[63])/80 - (1947*t[64])/80 - 
       (1727*t[65])/30 - (1327*t[66])/6 + (4*t[67])/5 - (24*t[70])/5 + 
       (24*t[71])/5 - (183*t[74])/10 + (144*t[76])/5 - (19*t[77])/10 - 
       (467*t[78])/10 + 24*t[80] + (647*t[81])/20 - (537*t[82])/20 - 
       (4*t[84])/5 + (1057*t[85])/40 - (157*t[86])/5 - (3613*t[87])/40 - 
       (5437*t[88])/80 - (6113*t[89])/80 + (8*t[92])/5 - (8*t[94])/5 - 
       (11*t[95])/5 + (24*t[96])/5 + 144*t[98] - (786*t[99])/5 - 
       (1212*t[100])/5)*\[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - w]*
      ((43*t[1])/5 - (1983*t[2])/40 - (17*t[3])/10 + (2781*t[4])/40 - 
       (511*t[5])/16 - (867*t[6])/20 + (3669*t[7])/20 - (5101*t[8])/20 + 
       (10641*t[9])/80 + (843*t[10])/80 + (583*t[11])/4 + (683*t[12])/20 + 
       (5699*t[13])/120 + (9299*t[14])/96 + (5141*t[15])/480 + (4*t[17])/5 - 
       (12*t[19])/5 - (12*t[20])/5 - (12*t[21])/5 + (12*t[22])/5 + 
       (28*t[23])/5 + (73*t[24])/10 - (24*t[25])/5 + (12*t[26])/5 - 
       (24*t[27])/5 - (18*t[29])/5 + (36*t[30])/5 + (12*t[31])/5 - 
       (29*t[32])/2 + (93*t[33])/5 - (18*t[34])/5 + (59*t[37])/10 + 
       (62*t[38])/5 + (72*t[39])/5 + 8*t[40] + (7*t[41])/20 - (7*t[42])/20 - 
       (61*t[43])/20 + (317*t[44])/10 + (12*t[45])/5 - (16*t[46])/5 - 
       (61*t[47])/10 - (887*t[48])/20 + (1481*t[49])/80 + (749*t[50])/20 + 
       (19*t[51])/32 - (933*t[52])/20 + (503*t[53])/80 - (2551*t[54])/40 - 
       (8*t[55])/5 + (59*t[59])/10 + (153*t[60])/40 + (2407*t[61])/8 - 
       (9729*t[62])/80 + (6281*t[63])/80 - (13819*t[64])/80 - 
       (2137*t[65])/30 - (2599*t[66])/10 - (8*t[67])/5 - (24*t[68])/5 - 
       (24*t[70])/5 + (24*t[71])/5 - (231*t[74])/10 + (144*t[76])/5 - 
       (15*t[77])/2 - (611*t[78])/10 - (216*t[80])/5 + (91*t[81])/4 - 
       (733*t[82])/20 + (36*t[83])/5 - 13*t[84] - (163*t[85])/8 - 
       (229*t[86])/5 - (2333*t[87])/40 - (4061*t[88])/80 - (661*t[89])/16 - 
       (8*t[92])/5 + (8*t[94])/5 - (11*t[95])/5 + 24*t[96] + (48*t[97])/5 + 
       144*t[98] - (786*t[99])/5 - (1212*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((24*t[1])/5 + (539*t[2])/10 - 
       (1239*t[3])/10 - (227*t[4])/10 - (115*t[5])/4 + (1757*t[6])/20 + 
       11*t[7] + (1048*t[8])/5 + (211*t[9])/4 + (103*t[10])/4 - 
       (277*t[11])/4 - (81*t[12])/5 + (178*t[13])/45 + (775*t[14])/8 + 
       (2393*t[15])/120 + (16*t[18])/5 + (12*t[20])/5 + 4*t[22] + 
       (8*t[24])/5 + 8*t[27] + (104*t[28])/5 - (58*t[29])/5 - (76*t[30])/5 + 
       (216*t[32])/5 - (2*t[33])/5 - 8*t[34] - (4*t[35])/5 + 40*t[36] - 
       (14*t[37])/5 + (12*t[38])/5 + (48*t[39])/5 - (52*t[40])/5 - 
       (11*t[41])/5 + (11*t[42])/5 - t[43] + (9*t[44])/5 + (78*t[45])/5 + 
       (48*t[46])/5 - (48*t[47])/5 + (215*t[48])/4 - (403*t[49])/20 - 
       (93*t[50])/4 + (251*t[51])/40 + (561*t[52])/20 + (403*t[53])/20 + 
       (2143*t[54])/20 + (4*t[56])/5 - 4*t[57] - (13*t[59])/5 + 
       (801*t[60])/5 + (198*t[61])/5 - (228*t[62])/5 - (1324*t[63])/5 - 
       (237*t[64])/2 + (853*t[65])/30 - (527*t[66])/10 + (12*t[69])/5 + 
       (48*t[70])/5 - (48*t[71])/5 - (12*t[72])/5 + (48*t[73])/5 + 
       (26*t[74])/5 + (36*t[75])/5 + 6*t[76] + (38*t[77])/5 + 22*t[78] - 
       (48*t[79])/5 - 8*t[80] - t[81] - (39*t[82])/5 - (134*t[83])/5 + 
       (531*t[84])/10 + (71*t[85])/5 - (308*t[86])/5 + 13*t[87] + 
       (521*t[88])/10 + (1007*t[89])/10 - (76*t[95])/5 - (48*t[96])/5 + 
       6*t[97] - (462*t[100])/5)*\[Zeta][2]^2 + HPL[{0, 1, 1}, 1 - u]*
      ((233*t[2])/10 + 40*t[3] - (889*t[4])/30 + (55*t[5])/12 + 
       (56*t[6])/15 + 141*t[7] + (219*t[8])/5 - (483*t[9])/20 - 
       (1031*t[10])/60 - (386*t[11])/15 - (1258*t[12])/15 - (829*t[13])/30 - 
       (1211*t[14])/360 - (21949*t[15])/360 - (8*t[17])/5 + (12*t[20])/5 - 
       (24*t[22])/5 - (74*t[24])/3 + (8*t[27])/5 - 4*t[29] + (112*t[30])/5 - 
       (12*t[31])/5 + 24*t[32] - (412*t[33])/15 + (48*t[35])/5 + 
       (376*t[36])/5 + (22*t[37])/5 - (16*t[39])/5 + (18*t[40])/5 - 
       (9*t[41])/5 + (9*t[42])/5 + (31*t[43])/5 + 44*t[44] + (16*t[46])/5 + 
       (14*t[47])/5 - (518*t[48])/15 + (131*t[49])/60 + (418*t[50])/15 + 
       (373*t[51])/120 - (418*t[52])/15 - (131*t[53])/60 + (53*t[54])/30 + 
       (8*t[55])/5 - (74*t[59])/5 - (481*t[60])/6 - (1139*t[61])/30 - 
       (4243*t[62])/60 + (1343*t[63])/12 + (659*t[64])/12 + (5014*t[65])/45 + 
       (610*t[66])/9 + (16*t[68])/5 + (12*t[69])/5 + (12*t[72])/5 - 
       (182*t[74])/5 + (24*t[75])/5 - (36*t[76])/5 - (102*t[77])/5 - 
       14*t[78] - (48*t[79])/5 + (104*t[80])/5 - (97*t[81])/5 + 
       (817*t[82])/15 + (78*t[83])/5 - (58*t[84])/5 + (847*t[85])/30 + 
       (436*t[86])/5 + (2873*t[87])/30 + (2873*t[88])/60 + (1349*t[89])/60 + 
       4*t[95] - 72*t[99] - (396*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{0, 1, 1}, 1 - w]*((-179*t[2])/2 - (322*t[3])/5 + (133*t[4])/6 - 
       (455*t[5])/12 + (1001*t[6])/15 - (802*t[7])/5 + (704*t[8])/5 - 
       (2569*t[9])/20 - (2753*t[10])/60 + (49*t[11])/15 + (1346*t[12])/15 + 
       (3334*t[13])/45 - (161*t[14])/360 - (17623*t[15])/360 - (4*t[17])/5 + 
       (24*t[20])/5 - (24*t[22])/5 - (838*t[24])/15 + (16*t[27])/5 - 
       (136*t[29])/5 + (56*t[30])/5 - (24*t[31])/5 - 36*t[32] + 
       (16*t[33])/3 + (48*t[34])/5 - (48*t[35])/5 - (376*t[36])/5 + 
       (38*t[37])/5 - (8*t[39])/5 + (39*t[41])/5 - (39*t[42])/5 - 
       (13*t[43])/5 + (26*t[44])/5 - (4*t[46])/5 + (46*t[47])/5 + 
       (382*t[48])/15 + (233*t[49])/60 - (944*t[50])/15 - (1193*t[51])/120 + 
       (944*t[52])/15 - (233*t[53])/60 + (1751*t[54])/30 + (4*t[55])/5 + 
       (82*t[59])/5 + (2293*t[60])/30 + (4591*t[61])/30 + (8387*t[62])/60 - 
       (4259*t[63])/60 - (1163*t[64])/60 + (3493*t[65])/45 - 
       (4537*t[66])/45 + (8*t[68])/5 + (24*t[69])/5 + (24*t[72])/5 - 
       (54*t[74])/5 - (24*t[75])/5 - (36*t[76])/5 + (42*t[77])/5 + 2*t[78] + 
       (48*t[79])/5 - (104*t[80])/5 + (219*t[81])/5 + (73*t[82])/15 - 
       12*t[83] + (137*t[84])/5 + (217*t[85])/30 - (292*t[86])/5 + 
       (923*t[87])/30 + (923*t[88])/60 + (4331*t[89])/60 + 4*t[95] - 
       72*t[99] - (396*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*((18*t[1])/5 + (3369*t[2])/40 - 
       (86*t[3])/5 + (2807*t[4])/120 + (403*t[5])/48 + (11*t[6])/60 + 
       (37*t[7])/4 - (1489*t[8])/20 + (685*t[9])/16 + (12097*t[10])/240 - 
       (2387*t[11])/60 - (2743*t[12])/60 - (4409*t[13])/120 + 
       (39229*t[14])/1440 + (56567*t[15])/1440 + (8*t[17])/5 - (16*t[18])/5 + 
       (12*t[20])/5 - (8*t[22])/5 + (155*t[24])/6 + (24*t[27])/5 + 
       (56*t[28])/5 - (28*t[29])/5 + (52*t[30])/5 - (5*t[32])/2 + 
       (173*t[33])/15 - (12*t[34])/5 - (28*t[35])/5 + (104*t[36])/5 - 
       (141*t[37])/10 + (24*t[38])/5 + (28*t[39])/5 + (38*t[40])/5 - 
       (109*t[41])/20 + (109*t[42])/20 - (109*t[43])/20 + (19*t[44])/10 + 
       (96*t[45])/5 + 8*t[46] - (341*t[47])/10 - (269*t[48])/60 - 
       (229*t[49])/240 + (103*t[50])/60 + (281*t[51])/96 - (823*t[52])/60 + 
       (229*t[53])/240 + (3539*t[54])/120 - (4*t[55])/5 - (4*t[56])/5 + 
       4*t[57] - (173*t[59])/10 - (505*t[60])/24 + (409*t[61])/120 - 
       (13483*t[62])/240 - (4345*t[63])/48 - (9281*t[64])/240 - 
       (1691*t[65])/18 - (439*t[66])/18 - (16*t[68])/5 - (12*t[69])/5 - 
       (36*t[72])/5 + (48*t[73])/5 + (273*t[74])/10 - (12*t[75])/5 - 
       (12*t[76])/5 + (93*t[77])/10 + (9*t[78])/2 + (28*t[79])/5 - 
       (28*t[80])/5 - (113*t[81])/20 - (887*t[82])/60 - (92*t[83])/5 + 
       (38*t[84])/5 - (1469*t[85])/120 - (481*t[86])/5 + (3353*t[87])/120 + 
       (3929*t[88])/240 + (217*t[89])/48 - (43*t[95])/5 - (288*t[98])/5 + 
       (966*t[99])/5 - 72*t[100])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*((-18*t[1])/5 - (751*t[2])/40 - 
       (349*t[3])/10 - (121*t[4])/120 - (27433*t[5])/240 + (2813*t[6])/60 + 
       (117*t[7])/4 + (83*t[8])/20 + (2061*t[9])/16 + (1153*t[10])/240 - 
       (161*t[11])/60 + (1661*t[12])/60 - (1895*t[13])/72 + 
       (50653*t[14])/1440 + (37439*t[15])/1440 + (4*t[17])/5 - (16*t[18])/5 - 
       (12*t[20])/5 - (8*t[22])/5 + (181*t[24])/30 - (24*t[27])/5 - 
       (56*t[28])/5 - (58*t[29])/5 - (68*t[30])/5 - (81*t[32])/10 - 
       (8*t[33])/3 - (12*t[34])/5 - (92*t[35])/5 - (104*t[36])/5 - 
       (17*t[37])/2 - (12*t[38])/5 + (8*t[39])/5 - 10*t[40] - (21*t[41])/20 + 
       (21*t[42])/20 - (117*t[43])/20 + (161*t[44])/10 + (24*t[45])/5 - 
       (28*t[46])/5 - (25*t[47])/2 - (1163*t[48])/60 - (737*t[49])/48 + 
       (913*t[50])/60 + (1549*t[51])/480 - (481*t[52])/60 + 
       (1381*t[53])/240 + (2759*t[54])/120 - (4*t[55])/5 - (4*t[56])/5 + 
       4*t[57] + (19*t[59])/2 + (2255*t[60])/24 + (11497*t[61])/120 - 
       (4507*t[62])/240 + (4339*t[63])/240 - (17729*t[64])/240 + 
       (437*t[65])/90 + (1381*t[66])/90 - (8*t[68])/5 - (12*t[69])/5 - 
       12*t[72] + (48*t[73])/5 + (289*t[74])/10 - (132*t[75])/5 - 
       (12*t[76])/5 + (37*t[77])/10 + (109*t[78])/10 + (48*t[79])/5 - 
       28*t[80] + (231*t[81])/20 - (899*t[82])/60 + (62*t[83])/5 + 52*t[84] + 
       (4003*t[85])/120 + 15*t[86] - (635*t[87])/24 - (2599*t[88])/240 - 
       (4219*t[89])/240 - (43*t[95])/5 - (72*t[96])/5 - (36*t[97])/5 - 
       (288*t[98])/5 + (966*t[99])/5 - 72*t[100])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*(32*t[2] + (127*t[3])/20 - 
       (579*t[4])/10 + (89*t[5])/4 - (633*t[6])/40 + (381*t[7])/5 - 
       (549*t[8])/10 + (147*t[9])/5 - (521*t[10])/20 - (211*t[11])/8 + 
       15*t[12] - (313*t[13])/90 + (391*t[14])/20 - (1495*t[15])/72 - 
       2*t[24] - (68*t[28])/5 - (12*t[29])/5 - (42*t[30])/5 + (68*t[32])/5 - 
       (38*t[33])/5 + (4*t[34])/5 + (12*t[35])/5 + (122*t[36])/5 + 4*t[37] + 
       (21*t[43])/5 + (13*t[44])/10 - 2*t[46] + 8*t[47] - (623*t[48])/40 - 
       (417*t[49])/20 + (1061*t[50])/40 + (397*t[51])/40 - (1061*t[52])/40 + 
       (417*t[53])/20 + (63*t[54])/40 + (18*t[59])/5 + (79*t[60])/20 + 
       (267*t[61])/20 + (369*t[62])/40 + (379*t[63])/8 - (2421*t[64])/40 - 
       (961*t[65])/60 - (1691*t[66])/60 - (12*t[73])/5 - (38*t[74])/5 - 
       (48*t[75])/5 - (62*t[77])/5 - (22*t[78])/5 + 16*t[79] + (44*t[80])/5 - 
       (44*t[81])/5 + (54*t[82])/5 + (54*t[83])/5 + (39*t[84])/4 - 
       (133*t[85])/20 - (32*t[86])/5 + (97*t[87])/20 + (53*t[88])/8 - 
       (139*t[89])/8 - (48*t[95])/5 - 36*t[99] - (258*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((-363*t[2])/5 - (167*t[3])/5 + (251*t[4])/5 - (287*t[5])/5 + 
       (433*t[6])/40 + 17*t[7] + (187*t[8])/10 + (351*t[9])/20 + 6*t[10] + 
       (511*t[11])/8 - (57*t[12])/10 + (743*t[13])/45 + (4523*t[14])/120 + 
       (1621*t[15])/360 - 6*t[24] + (8*t[28])/5 + (6*t[29])/5 - 
       (48*t[30])/5 - (8*t[32])/5 + (2*t[33])/5 + (24*t[34])/5 + 
       (12*t[35])/5 - (122*t[36])/5 + 2*t[37] + 3*t[41] - 3*t[42] - 
       (6*t[43])/5 + (24*t[44])/5 + 2*t[46] - 2*t[47] - (121*t[48])/40 + 
       (77*t[49])/5 + (219*t[50])/40 - (36*t[51])/5 - (219*t[52])/40 - 
       (77*t[53])/5 - (423*t[54])/40 + (39*t[59])/5 + (1563*t[60])/20 + 
       (2101*t[61])/20 - (1637*t[62])/40 + (117*t[63])/40 - (3519*t[64])/40 - 
       (473*t[65])/60 - (5039*t[66])/60 - (2*t[67])/5 - (12*t[73])/5 - 
       (34*t[74])/5 - (24*t[75])/5 + (32*t[77])/5 - (8*t[78])/5 - 
       (46*t[79])/5 - (44*t[80])/5 + (23*t[81])/5 - (33*t[82])/5 + 
       (39*t[83])/5 + (83*t[84])/4 + (553*t[85])/20 + (38*t[86])/5 - 
       (201*t[87])/4 - (861*t[88])/40 - (79*t[89])/40 - (48*t[95])/5 - 
       36*t[99] - (258*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((23*t[2])/2 - 24*t[3] - 
       (29*t[4])/6 + (43*t[5])/12 - (35*t[6])/3 + 24*t[7] - 156*t[8] + 
       (229*t[9])/4 - (151*t[10])/12 + (62*t[11])/3 + (97*t[12])/3 + 
       15*t[13] + (293*t[14])/72 + (547*t[15])/72 - (14*t[24])/3 + 4*t[28] + 
       2*t[32] + (28*t[33])/3 - 4*t[36] - 2*t[37] + t[41] - t[42] + 3*t[43] + 
       6*t[44] + 2*t[46] + 2*t[47] - (67*t[48])/3 - (65*t[49])/12 + 
       (83*t[50])/3 + (221*t[51])/24 - (83*t[52])/3 + (65*t[53])/12 - 
       (197*t[54])/6 + 2*t[59] - (109*t[60])/6 + (113*t[61])/6 - 
       (251*t[62])/12 + (275*t[63])/12 - (109*t[64])/12 - (157*t[65])/9 - 
       (629*t[66])/9 - 18*t[74] - 2*t[77] - 2*t[78] - 4*t[79] + 16*t[80] + 
       13*t[81] - (109*t[82])/3 + 8*t[83] - 7*t[84] - t[85]/6 + 16*t[86] + 
       (97*t[87])/6 + (97*t[88])/12 - (287*t[89])/12 - 4*t[95] - 24*t[99] - 
       48*t[100])*\[Zeta][2]^2 + HPL[{0, 1, 1}, 1 - v]*
      ((-25*t[2])/2 - 2*t[3] + (13*t[4])/6 - (107*t[5])/12 + (4*t[6])/3 + 
       7*t[7] - t[8] - (29*t[9])/4 - (133*t[10])/12 + (44*t[11])/3 + 
       (13*t[12])/3 + (239*t[13])/18 + (215*t[14])/72 - (1691*t[15])/72 - 
       (62*t[24])/3 + 2*t[32] - (44*t[33])/3 + 2*t[37] + t[41] - t[42] + 
       t[43] + 2*t[44] + 2*t[47] - (4*t[48])/3 + t[49]/12 + (8*t[50])/3 - 
       t[51]/24 - (8*t[52])/3 - t[53]/12 - (29*t[54])/6 + 2*t[59] + 
       (77*t[60])/6 + (167*t[61])/6 + (43*t[62])/12 + (125*t[63])/12 - 
       (103*t[64])/12 + (80*t[65])/9 - (380*t[66])/9 - 10*t[74] - 2*t[77] - 
       2*t[78] + 5*t[81] + (47*t[82])/3 + 2*t[84] + (5*t[85])/6 + 4*t[86] - 
       (17*t[87])/6 - (17*t[88])/12 - (29*t[89])/12 - 4*t[95] - 24*t[99] - 
       48*t[100])*\[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - v]*
      ((-59*t[2])/8 - (7*t[3])/2 + (13*t[4])/8 + (85*t[5])/16 + 3*t[6] + 
       (37*t[7])/4 - (75*t[8])/4 + (201*t[9])/16 - (133*t[10])/16 + 
       13*t[11] + (29*t[12])/4 + (271*t[13])/24 + (599*t[14])/96 + 
       (1285*t[15])/96 + (41*t[24])/2 + (3*t[32])/2 + 25*t[33] + 
       (3*t[37])/2 + (3*t[41])/4 - (3*t[42])/4 + (3*t[43])/4 + (3*t[44])/2 + 
       (3*t[47])/2 - 5*t[48] - (31*t[49])/16 + 2*t[50] + (63*t[51])/32 - 
       2*t[52] + (31*t[53])/16 - (29*t[54])/8 + (3*t[59])/2 + (77*t[60])/8 + 
       (199*t[61])/8 + (43*t[62])/16 + (125*t[63])/16 - (71*t[64])/16 + 
       (4*t[65])/3 - 37*t[66] - (15*t[74])/2 - (3*t[77])/2 - (3*t[78])/2 + 
       (15*t[81])/4 - (113*t[82])/4 + (3*t[84])/2 + (5*t[85])/8 + 3*t[86] - 
       (17*t[87])/8 - (17*t[88])/16 - (61*t[89])/16 - 3*t[95] - 18*t[99] - 
       36*t[100])*\[Zeta][2]^2 + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      ((29*t[2])/2 - (13*t[3])/5 - (43*t[4])/2 + (143*t[5])/20 - 2*t[6] - 
       (102*t[7])/5 - 32*t[8] - (677*t[9])/20 + (27*t[10])/20 - 
       (43*t[11])/5 + (257*t[12])/10 + (1169*t[13])/90 - (2101*t[14])/120 + 
       (431*t[15])/120 + 6*t[24] + (56*t[28])/5 + (27*t[29])/5 + 
       (12*t[30])/5 + 2*t[32] + 12*t[33] - 4*t[36] - 2*t[37] + t[41] - 
       t[42] + 3*t[43] + (6*t[44])/5 + 2*t[46] + 2*t[47] - 3*t[48] - 
       (15*t[49])/4 - (13*t[50])/5 + (19*t[51])/8 + (13*t[52])/5 + 
       (15*t[53])/4 + (17*t[54])/2 + 2*t[59] - (107*t[60])/10 - 
       (121*t[61])/10 - (41*t[62])/20 + (177*t[63])/20 - (643*t[64])/20 - 
       (143*t[65])/5 - (617*t[66])/15 + (12*t[73])/5 - 6*t[74] + 
       (36*t[75])/5 - 2*t[77] - 2*t[78] - (12*t[79])/5 + 16*t[80] + 5*t[81] - 
       15*t[82] - 10*t[83] - (43*t[84])/5 - (111*t[85])/10 + (8*t[86])/5 + 
       (127*t[87])/10 + (127*t[88])/20 - (373*t[89])/20 + 4*t[95] - 
       24*t[99] - (48*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((-121*t[2])/10 + (69*t[3])/5 + (35*t[4])/2 - 
       (247*t[5])/20 + (142*t[6])/5 + (46*t[7])/5 + (388*t[8])/5 + 
       (493*t[9])/20 - (211*t[10])/20 + (91*t[11])/5 - (97*t[12])/10 + 
       (559*t[13])/90 + (941*t[14])/120 - (199*t[15])/120 + (12*t[20])/5 + 
       10*t[24] + (4*t[28])/5 + (36*t[29])/5 + (6*t[30])/5 + (64*t[32])/5 - 
       (42*t[33])/5 + (12*t[34])/5 + (24*t[35])/5 + 4*t[36] + 6*t[37] + 
       t[41] - t[42] - t[43] - (22*t[44])/5 - 2*t[46] + 2*t[47] + 
       (83*t[48])/5 - (61*t[49])/20 - (93*t[50])/5 + (41*t[51])/40 + 
       (93*t[52])/5 + (61*t[53])/20 + (35*t[54])/2 + (14*t[59])/5 + 
       (563*t[60])/10 + (281*t[61])/10 + (901*t[62])/20 + (291*t[63])/20 - 
       (881*t[64])/20 + (349*t[65])/15 + (299*t[66])/15 + (12*t[73])/5 + 
       (38*t[74])/5 + (36*t[75])/5 - 2*t[77] - 2*t[78] + (28*t[79])/5 - 
       16*t[80] - (61*t[81])/5 + (31*t[82])/5 - 26*t[83] + (41*t[84])/5 + 
       (103*t[85])/10 - (112*t[86])/5 - (447*t[87])/10 - (447*t[88])/20 + 
       (277*t[89])/20 + 4*t[95] - 24*t[99] - (48*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]^3*((25*t[2])/8 + t[3]/2 - (13*t[4])/24 + (11*t[5])/48 - 
       t[6]/3 - (7*t[7])/4 + t[8]/4 + (29*t[9])/16 + (133*t[10])/48 - 
       (11*t[11])/3 - (13*t[12])/12 - (239*t[13])/72 - (215*t[14])/288 + 
       (731*t[15])/288 + (7*t[24])/6 - t[32]/2 - t[33]/3 - t[37]/2 - 
       t[41]/4 + t[42]/4 - t[43]/4 - t[44]/2 - t[47]/2 + t[48]/3 - t[49]/48 - 
       (2*t[50])/3 + t[51]/96 + (2*t[52])/3 + t[53]/48 + (29*t[54])/24 - 
       t[59]/2 - (77*t[60])/24 - (167*t[61])/24 - (43*t[62])/48 - 
       (125*t[63])/48 + (103*t[64])/48 - (20*t[65])/9 + (95*t[66])/9 + 
       (5*t[74])/2 + t[77]/2 + t[78]/2 - (5*t[81])/4 + t[82]/12 - t[84]/2 - 
       (5*t[85])/24 - t[86] + (17*t[87])/24 + (17*t[88])/48 + (29*t[89])/48 + 
       t[95] + 6*t[99] + 12*t[100])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]^3*((1009*t[2])/40 + (529*t[3])/30 - (3161*t[4])/120 + 
       (4087*t[5])/240 + (119*t[6])/30 - (91*t[7])/4 + (137*t[8])/60 - 
       (985*t[9])/48 + (151*t[10])/16 - (812*t[11])/15 + (111*t[12])/20 - 
       (23813*t[13])/1080 - (45011*t[14])/1440 + (3253*t[15])/480 + 
       (12*t[20])/5 + (7*t[24])/6 + (8*t[28])/5 + (12*t[29])/5 + 6*t[30] + 
       (7*t[32])/10 - (7*t[33])/3 + (12*t[34])/5 + (24*t[35])/5 + 6*t[36] - 
       (23*t[37])/6 - (23*t[41])/12 + (23*t[42])/12 - t[43]/4 + 
       (67*t[44])/10 - (7*t[47])/6 + (79*t[48])/15 - (1517*t[49])/240 - 
       3*t[50] + (1637*t[51])/480 + 3*t[52] + (1517*t[53])/240 + 
       (2393*t[54])/120 - t[59]/10 - (8857*t[60])/120 - (6979*t[61])/120 + 
       (3209*t[62])/240 + (527*t[63])/240 + (5433*t[64])/80 + 
       (461*t[65])/90 + (953*t[66])/10 + (2*t[67])/15 + (12*t[73])/5 + 
       (119*t[74])/30 + (36*t[75])/5 + t[77]/2 + (19*t[78])/6 - (6*t[79])/5 + 
       (20*t[80])/3 - (223*t[81])/60 + (31*t[82])/20 - (39*t[83])/5 - 
       (68*t[84])/5 - (2017*t[85])/120 - (31*t[86])/5 + (4453*t[87])/120 + 
       (4453*t[88])/240 - (2231*t[89])/240 + t[95] + 26*t[99] + 
       (206*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]^3*
      ((-107*t[2])/8 + (13*t[3])/5 + (479*t[4])/24 - (1261*t[5])/240 - 
       (203*t[6])/30 - (131*t[7])/12 - (289*t[8])/60 - (603*t[9])/80 + 
       (409*t[10])/48 + (713*t[11])/30 - (47*t[12])/4 - (3811*t[13])/1080 - 
       (17543*t[14])/1440 + (2951*t[15])/288 + (13*t[24])/6 + (28*t[28])/5 - 
       (21*t[29])/5 + (36*t[30])/5 - (23*t[32])/6 - (4*t[33])/3 - 6*t[36] - 
       t[37]/2 - t[41]/4 + t[42]/4 - (23*t[43])/12 + (49*t[44])/6 - 
       (19*t[47])/6 + (29*t[48])/6 + (283*t[49])/48 - (37*t[50])/6 - 
       (307*t[51])/96 + (37*t[52])/6 - (283*t[53])/48 - (1247*t[54])/120 - 
       t[59]/2 - (17*t[60])/24 + (473*t[61])/120 - (1721*t[62])/80 - 
       (2813*t[63])/240 + (8623*t[64])/240 + (209*t[65])/90 + (35*t[66])/6 + 
       (12*t[73])/5 + (17*t[74])/2 + (36*t[75])/5 + (23*t[77])/6 + 
       (7*t[78])/6 - (28*t[79])/5 - (20*t[80])/3 - (47*t[81])/12 + 
       (11*t[82])/4 - (54*t[83])/5 - (10*t[84])/3 + (55*t[85])/24 + 
       (25*t[86])/3 + (61*t[87])/24 + (61*t[88])/48 - (233*t[89])/80 + 
       t[95] + 26*t[99] + (206*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*((43*t[2])/2 - 6*t[3] - 13*t[4] - 
       (13*t[5])/2 - (7*t[6])/2 - (9*t[7])/2 - (99*t[8])/2 + (47*t[9])/2 + 
       14*t[10] - 22*t[11] + 11*t[12] - (431*t[13])/36 - t[14]/2 + 
       (167*t[15])/12 + 4*t[24] + 2*t[28] - 2*t[32] + 2*t[33] - 2*t[36] - 
       4*t[37] - t[41] + t[42] + t[46] - 2*t[47] - (21*t[48])/2 - 
       (7*t[49])/2 + (5*t[50])/2 + (7*t[51])/2 - (5*t[52])/2 + (7*t[53])/2 + 
       (11*t[54])/2 - 2*t[59] - 27*t[60] - 29*t[61] - (33*t[62])/2 - 
       (7*t[63])/2 + 10*t[64] - (53*t[65])/2 + (133*t[66])/6 + 6*t[74] + 
       2*t[77] + 2*t[78] - 2*t[79] + 8*t[80] - t[81] - 11*t[82] + 4*t[83] - 
       (13*t[84])/2 + 2*t[86] + 11*t[87] + (11*t[88])/2 - 10*t[89] + 
       4*t[95] + 24*t[99] + 48*t[100])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*((7*t[2])/2 + 10*t[3] + 2*t[4] - 
       5*t[5] + (15*t[6])/2 - (19*t[7])/2 + (103*t[8])/2 + t[9] + 
       (23*t[10])/2 - 14*t[11] - 13*t[12] - (445*t[13])/36 + (7*t[14])/4 + 
       (55*t[15])/6 + 12*t[24] - 2*t[28] - 2*t[32] + 2*t[33] + 2*t[36] - 
       t[41] + t[42] - 2*t[43] - 4*t[44] - t[46] - 2*t[47] + (13*t[48])/2 - 
       (29*t[50])/2 - (7*t[51])/4 + (29*t[52])/2 + (35*t[54])/2 - 2*t[59] + 
       8*t[60] - 20*t[61] + 6*t[62] - 14*t[63] + (21*t[64])/2 - t[65]/6 + 
       (89*t[66])/2 + 14*t[74] + 2*t[77] + 2*t[78] + 2*t[79] - 8*t[80] - 
       9*t[81] + 5*t[82] - 4*t[83] + (5*t[84])/2 + 5*t[85] - 10*t[86] - 
       12*t[87] - 6*t[88] + (23*t[89])/2 + 4*t[95] + 24*t[99] + 48*t[100])*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((125*t[2])/8 + (5*t[3])/2 - (65*t[4])/24 + (247*t[5])/48 - 
       (5*t[6])/3 - (35*t[7])/4 + (5*t[8])/4 + (145*t[9])/16 + 
       (665*t[10])/48 - (55*t[11])/3 - (65*t[12])/12 - (1195*t[13])/72 - 
       (1075*t[14])/288 + (5575*t[15])/288 + (83*t[24])/6 - (5*t[32])/2 + 
       (19*t[33])/3 - (5*t[37])/2 - (5*t[41])/4 + (5*t[42])/4 - (5*t[43])/4 - 
       (5*t[44])/2 - (5*t[47])/2 + (5*t[48])/3 - (5*t[49])/48 - 
       (10*t[50])/3 + (5*t[51])/96 + (10*t[52])/3 + (5*t[53])/48 + 
       (145*t[54])/24 - (5*t[59])/2 - (385*t[60])/24 - (835*t[61])/24 - 
       (215*t[62])/48 - (625*t[63])/48 + (515*t[64])/48 - (100*t[65])/9 + 
       (475*t[66])/9 + (25*t[74])/2 + (5*t[77])/2 + (5*t[78])/2 - 
       (25*t[81])/4 - (91*t[82])/12 - (5*t[84])/2 - (25*t[85])/24 - 5*t[86] + 
       (85*t[87])/24 + (85*t[88])/48 + (145*t[89])/48 + 5*t[95] + 30*t[99] + 
       60*t[100])*\[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((15*t[2])/2 + (89*t[3])/5 - (31*t[4])/6 + 
       (1297*t[5])/60 - (752*t[6])/15 + (33*t[7])/5 - (487*t[8])/5 - 
       (29*t[9])/4 + (1283*t[10])/60 - (20*t[11])/3 - (236*t[12])/15 - 
       (3001*t[13])/90 - (3289*t[14])/360 + (1289*t[15])/72 + (2*t[24])/3 - 
       (72*t[28])/5 - (42*t[29])/5 - (6*t[30])/5 - 12*t[32] - (38*t[33])/15 - 
       (24*t[34])/5 - 6*t[37] - 3*t[41] + 3*t[42] - 3*t[43] + (48*t[44])/5 - 
       6*t[47] - (226*t[48])/15 + (53*t[49])/12 + (344*t[50])/15 - 
       (53*t[51])/24 - (344*t[52])/15 - (53*t[53])/12 - (1169*t[54])/30 - 
       6*t[59] - (2587*t[60])/30 - (1393*t[61])/30 - (3509*t[62])/60 + 
       (1349*t[63])/60 + (5729*t[64])/60 - (314*t[65])/9 + (590*t[66])/9 - 
       (24*t[73])/5 + 6*t[74] - (72*t[75])/5 + 6*t[77] + 6*t[78] - 
       (16*t[79])/5 + t[81] - (5*t[82])/3 + 36*t[83] - (104*t[84])/5 - 
       (439*t[85])/30 + (84*t[86])/5 + (331*t[87])/30 + (259*t[88])/60 - 
       (1973*t[89])/60 - 4*t[95] + 72*t[99] + (336*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*((31*t[2])/2 + 26*t[3] + 
       (19*t[4])/6 - (29*t[5])/12 + (25*t[6])/3 - 34*t[7] + 140*t[8] - 
       (115*t[9])/4 + (401*t[10])/12 - (136*t[11])/3 - (119*t[12])/3 - 
       (370*t[13])/9 - (643*t[14])/72 + (907*t[15])/72 + (34*t[24])/3 - 
       4*t[28] - 6*t[32] - (44*t[33])/3 + 4*t[36] - 2*t[37] - 3*t[41] + 
       3*t[42] - 5*t[43] - 10*t[44] - 2*t[46] - 6*t[47] + (71*t[48])/3 + 
       (55*t[49])/12 - (91*t[50])/3 - (187*t[51])/24 + (91*t[52])/3 - 
       (55*t[53])/12 + (223*t[54])/6 - 6*t[59] - (61*t[60])/6 - 
       (439*t[61])/6 + (181*t[62])/12 - (541*t[63])/12 + (323*t[64])/12 - 
       (19*t[65])/9 + (1405*t[66])/9 + 38*t[74] + 6*t[77] + 6*t[78] + 
       4*t[79] - 16*t[80] - 23*t[81] + (107*t[82])/3 - 8*t[83] + 3*t[84] - 
       (25*t[85])/6 - 24*t[86] - (47*t[87])/6 - (47*t[88])/12 + 
       (337*t[89])/12 + 12*t[95] + 72*t[99] + 144*t[100])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*((-12*t[1])/5 + (33*t[2])/10 + 
       (469*t[3])/10 - (749*t[4])/30 + (2119*t[5])/60 - (767*t[6])/60 - 
       (364*t[7])/5 - (79*t[8])/5 - (481*t[9])/4 - (1243*t[10])/60 - 
       (5617*t[11])/60 - (566*t[12])/15 - (298*t[13])/9 - (48433*t[14])/360 + 
       (9907*t[15])/360 + (62*t[24])/3 + (24*t[27])/5 + (24*t[28])/5 - 
       6*t[29] + (84*t[30])/5 - 8*t[32] + (292*t[33])/15 - (96*t[34])/5 - 
       (48*t[35])/5 + (48*t[36])/5 - 2*t[37] + (12*t[38])/5 - 12*t[39] + 
       (78*t[40])/5 - (17*t[41])/5 + (17*t[42])/5 - t[43] + (77*t[44])/5 + 
       (96*t[45])/5 + (12*t[46])/5 - (106*t[47])/5 + (1427*t[48])/60 - 
       (1433*t[49])/60 + (407*t[50])/60 + (1097*t[51])/120 - 
       (1271*t[52])/60 + (857*t[53])/60 + (587*t[54])/60 - (4*t[59])/5 - 
       (2219*t[60])/15 - (496*t[61])/3 + (751*t[62])/6 + (209*t[63])/6 + 
       (2047*t[64])/30 + (13099*t[65])/90 + (26153*t[66])/90 - (24*t[72])/5 + 
       (48*t[73])/5 + (26*t[74])/5 - (48*t[75])/5 - (144*t[76])/5 + 2*t[77] + 
       38*t[78] - (168*t[80])/5 - (73*t[81])/5 + t[82]/3 + (13*t[84])/10 - 
       (149*t[85])/15 - 4*t[86] + (1853*t[87])/15 + (1853*t[88])/30 + 
       (319*t[89])/6 + 4*t[95] - (72*t[96])/5 - 12*t[97] - (864*t[98])/5 + 
       (1008*t[99])/5 + (1128*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-46*t[1])/5 + (225*t[2])/2 + 
       (363*t[3])/5 - (449*t[4])/30 + (3511*t[5])/60 - (293*t[6])/60 - 
       (437*t[7])/5 - (284*t[8])/5 - (1393*t[9])/20 + (10007*t[10])/60 - 
       (8539*t[11])/60 - (2077*t[12])/30 - (4933*t[13])/90 - 
       (59611*t[14])/360 + (1205*t[15])/72 + (4*t[16])/5 + (4*t[17])/5 + 
       (16*t[18])/5 + (16*t[19])/5 + (24*t[20])/5 + 4*t[22] + (32*t[24])/3 + 
       (42*t[25])/5 - (22*t[26])/5 - (18*t[27])/5 - (84*t[28])/5 + 
       (12*t[29])/5 + (112*t[30])/5 + (12*t[31])/5 - (12*t[32])/5 - 
       (374*t[33])/15 - (24*t[34])/5 - (12*t[35])/5 + (116*t[36])/5 - 
       (38*t[37])/5 - (24*t[38])/5 - (98*t[39])/5 + (34*t[40])/5 - 
       (49*t[41])/5 + (49*t[42])/5 - (11*t[43])/5 - (4*t[44])/5 + 
       (112*t[45])/5 + (18*t[46])/5 - (178*t[47])/5 - (751*t[48])/60 - 
       (1307*t[49])/60 - (19*t[50])/60 + (379*t[51])/24 - (557*t[52])/60 + 
       (731*t[53])/60 - (143*t[54])/12 + (4*t[56])/5 - 4*t[57] - 16*t[59] - 
       (304*t[60])/3 - (4892*t[61])/15 + (1606*t[62])/15 - (376*t[63])/15 + 
       (1939*t[64])/30 + (2359*t[65])/90 + (26453*t[66])/90 - (24*t[72])/5 + 
       (48*t[73])/5 + (282*t[74])/5 - (36*t[75])/5 - (144*t[76])/5 + 
       10*t[77] + 50*t[78] + (108*t[79])/5 - 36*t[80] - (47*t[81])/5 - 
       (23*t[82])/3 - (96*t[83])/5 - (33*t[84])/10 + (49*t[85])/15 - 
       (184*t[86])/5 + (881*t[87])/15 + (881*t[88])/30 + (86*t[89])/3 + 
       20*t[95] - (72*t[96])/5 - 12*t[97] - (864*t[98])/5 + (1488*t[99])/5 + 
       (2088*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - v]*
      (-30*t[2] - (24*t[3])/5 + (18*t[4])/5 - (3*t[5])/5 + (24*t[6])/5 + 
       (84*t[7])/5 - (12*t[8])/5 - 15*t[9] - (129*t[10])/5 + (168*t[11])/5 + 
       12*t[12] + (162*t[13])/5 + (89*t[14])/10 - (157*t[15])/10 + 
       (24*t[32])/5 + (72*t[33])/5 + (24*t[37])/5 + (12*t[41])/5 - 
       (12*t[42])/5 + (12*t[43])/5 + (24*t[44])/5 + (24*t[47])/5 - 
       (24*t[48])/5 - (3*t[49])/5 + (24*t[50])/5 + (3*t[51])/10 - 
       (24*t[52])/5 + (3*t[53])/5 - (42*t[54])/5 + (24*t[59])/5 + 
       (162*t[60])/5 + (342*t[61])/5 + (39*t[62])/5 + (129*t[63])/5 - 
       (99*t[64])/5 + (96*t[65])/5 - (528*t[66])/5 - 24*t[74] - 
       (24*t[77])/5 - (24*t[78])/5 + 12*t[81] - 12*t[82] + (24*t[84])/5 + 
       (18*t[85])/5 + (48*t[86])/5 - (42*t[87])/5 - (21*t[88])/5 - 
       (33*t[89])/5 - (48*t[95])/5 - (288*t[99])/5 - (576*t[100])/5)*
      \[Zeta][2]^3 + HPL[{1}, 1 - u]*((-416*t[1])/35 - (242*t[2])/35 + 
       (86*t[3])/35 - (194*t[4])/21 + (197*t[5])/35 - (2206*t[6])/105 - 
       (692*t[7])/105 - (2816*t[8])/35 - (10883*t[9])/105 - (773*t[10])/35 - 
       (734*t[11])/35 - (262*t[12])/105 - (70*t[13])/9 - (3133*t[14])/630 - 
       (449*t[15])/126 + (64*t[16])/35 + (16*t[17])/5 - (328*t[24])/35 + 
       (24*t[28])/5 + (184*t[32])/7 + (248*t[33])/35 + (1152*t[36])/35 + 
       (536*t[37])/35 - (292*t[41])/35 + (292*t[42])/35 - (20*t[43])/7 - 
       (40*t[44])/7 - (976*t[45])/105 + (12*t[46])/5 + (344*t[47])/105 - 
       (440*t[48])/21 + (1643*t[49])/105 + (4096*t[50])/105 - 
       (761*t[51])/210 - (4096*t[52])/105 - (1643*t[53])/105 - 
       (806*t[54])/15 - (136*t[59])/7 - (470*t[60])/7 - (9262*t[61])/105 + 
       (2351*t[62])/35 + (6821*t[63])/35 - (715*t[64])/21 - (5006*t[65])/45 - 
       (39202*t[66])/315 - (64*t[67])/35 - (32*t[68])/5 - (64*t[70])/7 + 
       (64*t[71])/7 - (432*t[74])/7 - (976*t[76])/105 - (184*t[77])/7 - 
       (664*t[78])/105 - (48*t[79])/5 - (1472*t[80])/35 - (172*t[81])/35 + 
       (52*t[82])/7 + (36*t[83])/5 - (662*t[84])/21 + (538*t[85])/105 - 
       (1744*t[86])/35 + (3586*t[87])/105 + (1793*t[88])/105 - 
       (10589*t[89])/105 - (2*t[91])/35 - (48*t[95])/5 - (288*t[99])/5 - 
       (576*t[100])/5)*\[Zeta][2]^3 + HPL[{1}, 1 - w]*
      ((416*t[1])/35 - (1858*t[2])/35 - (422*t[3])/35 + (2734*t[4])/105 + 
       (433*t[5])/35 + (2206*t[6])/105 + (844*t[7])/21 + (2648*t[8])/35 + 
       (6221*t[9])/105 - (1201*t[10])/35 + (3422*t[11])/35 + 
       (1774*t[12])/105 + (3122*t[13])/45 + (1559*t[14])/126 - 
       (20057*t[15])/630 - (64*t[16])/35 - (16*t[17])/5 - (8*t[24])/35 - 
       (24*t[28])/5 - (584*t[32])/35 + (424*t[33])/35 - (1152*t[36])/35 - 
       (40*t[37])/7 + (92*t[41])/7 - (92*t[42])/7 + (268*t[43])/35 + 
       (536*t[44])/35 + (976*t[45])/105 - (12*t[46])/5 + (664*t[47])/105 + 
       (440*t[48])/21 - (253*t[49])/21 - (416*t[50])/21 + (383*t[51])/210 + 
       (416*t[52])/21 + (253*t[53])/21 + (266*t[54])/15 + (1016*t[59])/35 + 
       (4282*t[60])/35 + (22618*t[61])/105 - (1637*t[62])/35 - 
       (5183*t[63])/35 - (1087*t[64])/105 + (1462*t[65])/9 - 
       (19262*t[66])/315 + (64*t[67])/35 + (32*t[68])/5 + (64*t[70])/7 - 
       (64*t[71])/7 + (96*t[74])/7 + (976*t[76])/105 + (584*t[77])/35 - 
       (344*t[78])/105 + (48*t[79])/5 + (1472*t[80])/35 + (1012*t[81])/35 - 
       (764*t[82])/35 - (36*t[83])/5 + (4318*t[84])/105 - (158*t[85])/21 + 
       (2416*t[86])/35 - (4342*t[87])/105 - (2171*t[88])/105 + 
       (9707*t[89])/105 + (2*t[91])/35 - (48*t[95])/5 - (288*t[99])/5 - 
       (576*t[100])/5)*\[Zeta][2]^3 + HPL[{0, 0, 0, 1}, 1 - w]*
      (8*t[1] + 16*t[3] - 32*t[4] + 4*t[5] - 16*t[6] - 4*t[7] - 60*t[8] - 
       34*t[9] - 48*t[10] - 2*t[12] - (46*t[13])/3 - (80*t[14])/3 - 
       10*t[15] + 14*t[38] + 14*t[40] - 16*t[53] - 44*t[60] - 32*t[61] + 
       64*t[62] + 64*t[63] + 48*t[64] - 28*t[65] + (40*t[66])/3 - 16*t[77] - 
       16*t[84] + 32*t[87] + 16*t[88] - 16*t[89])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*((55*t[2])/12 - (11*t[3])/4 + 
       (3*t[4])/4 + (5*t[5])/4 - (9*t[6])/2 + (7*t[7])/2 - (37*t[8])/4 + 
       5*t[9] - (5*t[10])/8 + 5*t[11] - (11*t[12])/8 + (29*t[13])/24 + 
       (319*t[14])/48 - t[15] + t[23] + t[24] - t[29] - (5*t[30])/2 - t[31] + 
       t[32]/2 - t[33]/2 - 6*t[35] - 3*t[44] - (3*t[48])/2 + (3*t[49])/8 + 
       (7*t[50])/4 - (3*t[51])/16 - (7*t[52])/4 - (3*t[53])/8 - 5*t[54] - 
       (11*t[59])/6 + (35*t[60])/4 + t[61] - (33*t[62])/8 - (31*t[63])/8 - 
       (27*t[64])/4 - (25*t[65])/4 - (169*t[66])/12 - 2*t[69] + t[70] - 
       t[71] - t[73] + t[74] - t[75] + t[79] + t[81]/2 - t[82]/2 + t[83]/2 + 
       (5*t[84])/4 + t[85] - t[86] - (21*t[87])/4 - (21*t[88])/8 - 
       (9*t[89])/8)*\[Zeta][3] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      (-t[3]/4 - (13*t[5])/8 + (13*t[6])/4 - (3*t[7])/2 + (35*t[8])/4 + 
       (31*t[9])/8 + (3*t[10])/4 - 4*t[11] - (3*t[12])/8 - (5*t[13])/12 + 
       (21*t[14])/8 - (55*t[15])/48 - t[28] + (9*t[29])/4 - 3*t[30] - 
       (11*t[44])/4 + 2*t[48] - (5*t[50])/4 + (5*t[52])/4 + (13*t[54])/4 + 
       6*t[60] - (9*t[61])/2 + (41*t[62])/8 - (25*t[63])/8 - (25*t[64])/4 - 
       (7*t[65])/4 + (41*t[66])/12 - t[73] - t[75] + t[79] + (7*t[84])/4 + 
       (7*t[85])/4 - 3*t[86] - 6*t[87] - 3*t[88] + 4*t[89])*\[Zeta][3] + 
     HPL[{0, 0, 0, 1}, 1 - u]*(-8*t[1] - 26*t[2] + 28*t[3] + 4*t[5] + 
       10*t[6] - 44*t[7] - 20*t[8] - 32*t[9] - 32*t[10] + 36*t[11] - 
       2*t[12] + 30*t[13] - (52*t[14])/3 - 12*t[15] + 2*t[23] - 12*t[34] + 
       14*t[38] + 8*t[41] - 8*t[42] - 16*t[48] - 16*t[50] + 28*t[52] + 
       12*t[54] + 14*t[59] - 12*t[60] + 16*t[61] + 12*t[62] - 12*t[63] + 
       44*t[64] + 20*t[65] + (4*t[66])/3 - 2*t[71] + 12*t[89])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((-31*t[1])/2 + 19*t[2] - 
       (223*t[3])/2 + (59*t[4])/2 - (127*t[5])/4 + (189*t[6])/2 - 29*t[7] + 
       130*t[8] + (139*t[9])/4 + (35*t[10])/4 + 26*t[11] - 6*t[12] - 
       (1079*t[13])/36 + (3439*t[14])/24 + (3805*t[15])/72 - 6*t[18] + 
       8*t[19] - 4*t[20] - 14*t[21] + 8*t[23] - 14*t[24] + 12*t[25] - 
       3*t[26] - 12*t[27] - 14*t[30] - 8*t[31] + 22*t[32] - 6*t[33] - 
       15*t[34] - 15*t[38] + 8*t[39] - 15*t[40] + t[41]/2 - (7*t[42])/2 + 
       (23*t[43])/2 - 9*t[44] + 17*t[45] - 6*t[46] - 45*t[47] + 
       (63*t[48])/2 + (25*t[49])/4 - (11*t[50])/2 + (3*t[51])/8 + 
       (53*t[52])/2 - (25*t[53])/4 + 57*t[54] - t[58] + 24*t[59] + 
       143*t[60] + 270*t[61] - t[62]/2 + (213*t[63])/2 - 177*t[64] - 
       161*t[65] - 61*t[66] - 4*t[69] + 24*t[70] - 24*t[71] + 24*t[72] + 
       12*t[74] - 26*t[76] - 6*t[77] + 38*t[78] - 52*t[80] + 12*t[81] - 
       44*t[82] + 62*t[84] - 29*t[85] - 94*t[86] - 65*t[87] + (11*t[88])/2 - 
       54*t[89] - 8*t[95] - 8*t[96] + 6*t[97] - 144*t[98] + 144*t[99] - 
       396*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-13*t[1])/2 + 10*t[2] - (179*t[3])/2 + (51*t[4])/2 - 41*t[5] + 
       (309*t[6])/4 + 46*t[7] + 199*t[8] + 81*t[9] + (27*t[10])/4 + 
       (335*t[11])/4 + (121*t[12])/4 + (123*t[13])/4 + (1085*t[14])/8 + 
       (1013*t[15])/36 - 2*t[22] + 12*t[25] - 2*t[26] + 2*t[27] + 2*t[29] - 
       14*t[30] - 16*t[31] + 28*t[32] - 2*t[33] - 5*t[34] - 4*t[36] - 
       10*t[37] - 13*t[38] + 15*t[39] - 13*t[40] + t[41]/2 - t[42]/2 - 
       3*t[43] + t[44] + 8*t[45] + 14*t[46] - 14*t[47] + (143*t[48])/4 - 
       (143*t[49])/4 - (105*t[50])/4 + (63*t[51])/8 + (109*t[52])/4 + 
       (71*t[53])/4 + (127*t[54])/4 + t[58] + 14*t[59] + (551*t[60])/2 + 
       (611*t[61])/2 - (309*t[62])/2 - (405*t[63])/2 - (553*t[64])/4 + 
       27*t[65] - (715*t[66])/6 + 16*t[70] - 16*t[71] + 52*t[72] + 8*t[74] - 
       23*t[76] + 6*t[77] + 38*t[78] + 14*t[80] + 4*t[81] - 5*t[82] + 
       69*t[84] - 23*t[85] - 20*t[86] - 90*t[87] + 28*t[88] + (91*t[89])/4 - 
       16*t[95] - 18*t[96] + 12*t[97] - 144*t[98] + 144*t[99] - 396*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-17*t[1])/2 + (25*t[2])/2 - (137*t[3])/4 - (29*t[4])/2 - 
       (85*t[5])/4 + (119*t[6])/4 + (11*t[7])/4 + (249*t[8])/4 + 27*t[9] + 
       t[10]/2 - 18*t[11] - (13*t[12])/2 - (3317*t[13])/72 + (467*t[14])/8 + 
       (1169*t[15])/72 - 4*t[18] - 4*t[21] - 2*t[22] + 4*t[23] - 4*t[24] + 
       12*t[25] - 3*t[26] - 2*t[27] + t[29] - 12*t[30] - 16*t[31] + 
       15*t[32] - 6*t[33] - 7*t[34] - 2*t[36] - 4*t[37] - 11*t[38] + 
       10*t[39] - 5*t[40] - (5*t[41])/2 + t[42]/2 + (23*t[43])/4 + 
       (3*t[44])/2 + (13*t[45])/2 + t[46] - 25*t[47] + (49*t[48])/2 - 
       (7*t[49])/4 - (15*t[50])/2 - (55*t[51])/8 + (25*t[52])/2 - 
       (37*t[53])/4 - (3*t[54])/2 - t[58] + 8*t[59] + 58*t[60] + 
       (223*t[61])/2 + (201*t[62])/4 + (223*t[63])/4 - (389*t[64])/4 - 
       (325*t[65])/6 + (123*t[66])/2 + 16*t[70] - 16*t[71] + 44*t[72] + 
       8*t[74] - 20*t[76] - 6*t[77] + 18*t[78] - 12*t[80] - 4*t[81] + 
       5*t[82] + (51*t[84])/2 - (19*t[85])/2 - 54*t[86] - (43*t[87])/2 + 
       (101*t[88])/4 - (85*t[89])/2 - 8*t[95] - 10*t[96] + 6*t[97] - 
       96*t[98] + 72*t[99] - 276*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*((-17*t[1])/2 - (5*t[2])/2 - 
       (271*t[3])/4 + 82*t[4] - 50*t[5] + (175*t[6])/4 + 11*t[7] + 22*t[8] + 
       69*t[9] + (133*t[10])/4 + (329*t[11])/4 + (3*t[12])/4 + 
       (1243*t[13])/36 + (739*t[14])/6 + (1019*t[15])/72 - 2*t[18] + 
       6*t[19] - 12*t[20] - 10*t[21] + 2*t[22] + 8*t[23] - 10*t[24] + 
       12*t[25] - 7*t[26] - 8*t[27] + 3*t[29] - 8*t[30] - 16*t[31] + 
       13*t[32] - 6*t[33] - 15*t[34] - 2*t[36] - 7*t[38] + 8*t[39] - 
       7*t[40] + (5*t[41])/2 - (7*t[42])/2 + (9*t[43])/2 + (3*t[44])/2 + 
       7*t[45] - 11*t[46] + t[47] + (61*t[48])/4 + (23*t[49])/4 + t[50]/4 + 
       2*t[51] + (19*t[52])/4 - (67*t[53])/4 + (89*t[54])/4 - t[58] + 
       20*t[59] + (383*t[60])/2 + (591*t[61])/2 - (211*t[62])/2 - 
       (73*t[63])/2 - (783*t[64])/4 - (83*t[65])/3 - (889*t[66])/6 - 
       4*t[69] + 16*t[70] - 16*t[71] + 24*t[72] + 8*t[74] - 19*t[76] + 
       46*t[78] - 46*t[80] + 15*t[81] - 42*t[82] + 76*t[84] - 33*t[85] - 
       54*t[86] - 73*t[87] + (3*t[88])/2 + (57*t[89])/4 - 8*t[95] - 8*t[96] + 
       6*t[97] - 96*t[98] + 72*t[99] - 276*t[100])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*(3*t[1] - (283*t[2])/12 - 
       (1801*t[3])/24 - (9*t[4])/4 - (763*t[5])/8 + (403*t[6])/8 + 
       (1969*t[7])/12 + (251*t[8])/12 + (2047*t[9])/8 + (47*t[10])/24 + 
       (703*t[11])/24 + (134*t[12])/3 + (2467*t[13])/216 + 
       (27277*t[14])/144 + (767*t[15])/108 + 2*t[18] - 2*t[19] - 
       (14*t[20])/3 - 2*t[21] + 2*t[23] - (2*t[24])/3 - (14*t[27])/3 - 
       (31*t[29])/6 - 28*t[30] - t[32]/3 - (31*t[33])/3 + (64*t[34])/3 + 
       8*t[36] + (7*t[37])/3 - (10*t[38])/3 + (70*t[39])/3 - (67*t[40])/3 + 
       (7*t[41])/6 - (13*t[42])/6 - (5*t[43])/6 - (31*t[44])/4 - 30*t[45] - 
       2*t[46] + 31*t[47] - (41*t[48])/8 + (373*t[49])/24 - (103*t[50])/24 - 
       (143*t[51])/16 + (391*t[52])/24 - (53*t[53])/24 + (1055*t[54])/24 + 
       (37*t[59])/3 + (805*t[60])/6 + (2233*t[61])/12 - (3023*t[62])/24 - 
       (121*t[63])/24 - (1163*t[64])/8 - (371*t[65])/6 - (2621*t[66])/18 - 
       4*t[69] - (2*t[70])/3 + (2*t[71])/3 + 4*t[72] - 8*t[73] + 5*t[74] + 
       8*t[75] + (140*t[76])/3 + t[77]/3 - (161*t[78])/3 - 16*t[79] + 
       36*t[80] + (101*t[81])/6 + (31*t[82])/6 - (14*t[83])/3 + 
       (19*t[84])/2 + (275*t[85])/12 - 6*t[86] - (1543*t[87])/12 - 
       (541*t[88])/8 - 10*t[89] - 6*t[95] + (56*t[96])/3 + 16*t[97] + 
       272*t[98] - 276*t[99] - 186*t[100])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*(3*t[1] + (173*t[2])/12 - 
       (1151*t[3])/24 + (175*t[4])/12 - (715*t[5])/24 + (595*t[6])/24 + 
       (1021*t[7])/12 + (647*t[8])/12 + (3379*t[9])/24 + (869*t[10])/24 + 
       (1537*t[11])/24 + 40*t[12] + (4949*t[13])/216 + (21299*t[14])/144 - 
       (1819*t[15])/108 - 2*t[18] + 2*t[19] - 2*t[20] - 2*t[21] + 
       (2*t[24])/3 - (14*t[27])/3 - 4*t[28] + (11*t[29])/6 - (92*t[30])/3 + 
       (25*t[32])/3 - (7*t[33])/3 + 24*t[34] + 8*t[35] - 8*t[36] - 
       (5*t[37])/3 - (10*t[38])/3 + (70*t[39])/3 - (85*t[40])/3 + 
       (25*t[41])/6 - (19*t[42])/6 + (7*t[43])/6 - (167*t[44])/12 - 
       (64*t[45])/3 - 2*t[46] + 21*t[47] - (195*t[48])/8 + (233*t[49])/8 - 
       (239*t[50])/8 - (659*t[51])/48 + (1165*t[52])/24 - (379*t[53])/24 + 
       (111*t[54])/8 - (5*t[59])/3 + (1081*t[60])/6 + (1243*t[61])/12 - 
       (3721*t[62])/24 - (3199*t[63])/24 - (1567*t[64])/24 - (1700*t[65])/9 - 
       (2641*t[66])/9 + 2*t[69] + (4*t[70])/3 - (4*t[71])/3 + (16*t[72])/3 - 
       8*t[73] + 5*t[74] + 8*t[75] + (154*t[76])/3 + (11*t[77])/3 - 
       (197*t[78])/3 + (136*t[80])/3 + (35*t[81])/2 - (61*t[82])/6 - 
       (14*t[83])/3 + (13*t[84])/3 + (193*t[85])/12 + 2*t[86] - 
       (1657*t[87])/12 - (579*t[88])/8 - (233*t[89])/6 - 6*t[95] + 
       (68*t[96])/3 + 16*t[97] + 272*t[98] - 276*t[99] - 186*t[100])*
      \[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - w]*((-15*t[2])/2 + (137*t[3])/2 + 
       (259*t[4])/2 - (109*t[5])/2 - (193*t[6])/4 + (217*t[7])/2 - 
       (353*t[8])/2 + (137*t[9])/2 + (199*t[10])/4 + (823*t[11])/4 + 
       (299*t[12])/4 + (665*t[13])/4 + (1091*t[14])/24 - (427*t[15])/12 + 
       8*t[23] + 12*t[29] - 3*t[30] - (105*t[32])/2 + 18*t[33] + 30*t[34] - 
       3*t[38] + 15*t[39] - (15*t[40])/2 + 15*t[41] - 15*t[42] + 21*t[44] - 
       34*t[45] + 84*t[47] - (73*t[48])/4 + (69*t[49])/4 - (133*t[50])/4 - 
       (81*t[51])/8 + (109*t[52])/4 - (21*t[53])/4 - (197*t[54])/4 + 
       (45*t[59])/2 + (193*t[60])/2 + (297*t[61])/2 - 170*t[62] - 96*t[63] - 
       (183*t[64])/4 - (131*t[65])/6 - (1024*t[66])/3 - 12*t[74] + 73*t[76] + 
       30*t[77] - 33*t[78] + 48*t[80] + 58*t[81] - 58*t[82] - (35*t[84])/2 - 
       (35*t[85])/2 - 147*t[87] - (261*t[88])/2 + (301*t[89])/4 + 12*t[95] + 
       30*t[96] + 9*t[97] + 432*t[98] - 432*t[99] - 180*t[100])*\[Zeta][3] + 
     HPL[{0, 1, 1, 1}, 1 - u]*((-21*t[2])/2 + (197*t[3])/2 + (7*t[4])/2 + 
       (355*t[5])/4 - 109*t[6] + 45*t[7] - 165*t[8] - (213*t[9])/4 - 
       (207*t[10])/4 + 71*t[11] - (69*t[12])/2 - (173*t[13])/4 - 
       (473*t[14])/24 + (373*t[15])/24 - 3*t[30] - (37*t[32])/2 - 30*t[33] + 
       12*t[34] - 3*t[38] + 25*t[39] - (31*t[40])/2 - 12*t[41] + 12*t[42] + 
       21*t[44] - 35*t[45] - 15*t[47] - (141*t[48])/2 + (197*t[49])/4 + 
       (53*t[50])/2 - (209*t[51])/8 - (53*t[52])/2 - (149*t[53])/4 - 
       152*t[54] - (45*t[59])/2 - 254*t[60] - 75*t[61] + (121*t[62])/2 + 
       (679*t[63])/2 + (127*t[64])/2 - (1105*t[65])/6 + (97*t[66])/2 - 
       12*t[70] + 12*t[71] - 12*t[74] + 66*t[76] - 24*t[77] - 135*t[78] + 
       30*t[80] - 3*t[81] + 33*t[82] - (231*t[84])/2 + (27*t[85])/2 - 
       57*t[88] - (389*t[89])/2 + 12*t[95] + 36*t[96] + 9*t[97] + 432*t[98] - 
       432*t[99] - 180*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*(-t[1]/2 + (25*t[2])/6 - (1963*t[3])/48 + 
       (77*t[4])/6 - (317*t[5])/12 + (2365*t[6])/96 + (599*t[7])/24 + 
       (319*t[8])/6 + (3299*t[9])/48 + (43*t[10])/3 + (3739*t[11])/96 + 
       22*t[12] + (3649*t[13])/432 + (24295*t[14])/288 - (85*t[15])/108 - 
       (4*t[24])/3 + t[25] - (8*t[27])/3 - t[28] - (5*t[29])/12 - 
       (35*t[30])/3 - t[31] + (22*t[32])/3 - (7*t[33])/3 + 6*t[34] + 
       2*t[35] - 2*t[36] + t[37]/3 - (7*t[38])/3 + (25*t[39])/3 - 
       (133*t[40])/12 + (7*t[41])/6 - (7*t[42])/6 - t[43]/3 - 
       (115*t[44])/24 - (29*t[45])/6 - t[46]/2 + (11*t[47])/2 + 
       (5*t[48])/32 + (31*t[49])/4 - (383*t[50])/32 - (47*t[51])/12 + 
       (1885*t[52])/96 - (53*t[53])/12 + (535*t[54])/32 + (11*t[59])/6 + 
       (5195*t[60])/48 + (5191*t[61])/48 - (7015*t[62])/96 - 
       (4753*t[63])/96 - (5221*t[64])/96 - (9029*t[65])/144 - 
       (20491*t[66])/144 + (4*t[70])/3 - (4*t[71])/3 + (7*t[72])/3 - 
       2*t[73] + 2*t[74] + 2*t[75] + (89*t[76])/6 - t[77]/3 - (38*t[78])/3 + 
       (13*t[80])/3 + (23*t[81])/2 - (79*t[82])/6 - (5*t[83])/3 + 
       (667*t[84])/48 + (115*t[85])/48 - 8*t[86] - (2875*t[87])/48 - 
       (729*t[88])/32 - (1259*t[89])/96 - 4*t[95] + (11*t[96])/3 + 6*t[97] + 
       68*t[98] - 60*t[99] - 150*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*((3*t[1])/2 - (31*t[2])/12 - 
       (1003*t[3])/24 - (25*t[4])/4 - 36*t[5] + (1173*t[6])/32 + 
       (323*t[7])/6 + (1411*t[8])/24 + (1367*t[9])/16 - (307*t[10])/24 + 
       (1177*t[11])/96 + (155*t[12])/12 + (799*t[13])/216 + 
       (22283*t[14])/288 + (6913*t[15])/864 - (8*t[20])/3 + t[24]/3 + t[25] - 
       (8*t[27])/3 - (7*t[29])/6 - 11*t[30] - t[31] + (20*t[32])/3 - 
       (13*t[33])/3 + (13*t[34])/3 + 2*t[36] - (5*t[37])/3 - (7*t[38])/3 + 
       (28*t[39])/3 - (109*t[40])/12 + (7*t[41])/6 - (7*t[42])/6 - t[43]/3 - 
       (15*t[44])/4 - (13*t[45])/2 - t[46]/2 + (9*t[47])/2 + (235*t[48])/32 + 
       (85*t[49])/24 - (835*t[50])/96 - (37*t[51])/16 + (1315*t[52])/96 - 
       (29*t[53])/24 + (2687*t[54])/96 + (16*t[59])/3 + (3329*t[60])/48 + 
       (5467*t[61])/48 - (5555*t[62])/96 - (1501*t[63])/96 - 
       (1195*t[64])/32 - (465*t[65])/16 - (10819*t[66])/144 + (4*t[70])/3 - 
       (4*t[71])/3 + 4*t[72] - 2*t[73] + 3*t[74] + 2*t[75] + (79*t[76])/6 + 
       (4*t[77])/3 - (41*t[78])/3 - 4*t[79] + 19*t[80] + (25*t[81])/3 - 
       t[82]/3 - (5*t[83])/3 + (153*t[84])/16 + (95*t[85])/48 + 4*t[86] - 
       (2119*t[87])/48 - (509*t[88])/32 - (311*t[89])/32 - 4*t[95] + 
       (11*t[96])/3 + 6*t[97] + 68*t[98] - 60*t[99] - 150*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (-t[1] + (43*t[2])/12 - (131*t[3])/8 - 8*t[4] + (33*t[5])/8 + 
       (63*t[6])/2 - 18*t[7] + (183*t[8])/4 + (67*t[9])/8 - t[10]/4 - 
       (81*t[11])/4 + (53*t[12])/8 + (17*t[13])/12 + (67*t[14])/3 - 
       (2*t[15])/9 + 2*t[20] + 2*t[28] - (23*t[29])/2 - 9*t[30] + 2*t[31] - 
       7*t[32] + 8*t[33] + 13*t[34] + 6*t[35] - 2*t[38] - 3*t[40] - 
       (19*t[44])/2 - 7*t[45] + 5*t[47] + (17*t[48])/4 + (15*t[49])/4 - 
       20*t[50] - (23*t[51])/8 + 26*t[52] - (15*t[53])/4 + (93*t[54])/4 + 
       t[59]/6 + (87*t[60])/2 - (99*t[61])/4 + (45*t[62])/4 - (205*t[63])/4 + 
       (5*t[64])/8 - (95*t[65])/12 - (133*t[66])/12 + 2*t[69] + 2*t[72] + 
       t[73] + t[74] + t[75] + 4*t[76] - 4*t[78] - t[79] + 6*t[80] + 
       (3*t[81])/2 + t[82]/2 + t[83] + (35*t[84])/4 + 18*t[85] - t[86] - 
       (59*t[87])/4 - (55*t[88])/8 + 15*t[89] + t[97] + 48*t[98] - 48*t[99] - 
       24*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*(2*t[1] - (5*t[2])/2 - (153*t[3])/8 + (23*t[4])/2 - 
       (183*t[5])/8 + (55*t[6])/4 + (101*t[7])/4 + (103*t[8])/2 + 
       (251*t[9])/8 + (17*t[10])/2 + (11*t[11])/2 + (31*t[12])/8 + 
       (37*t[13])/72 + (49*t[14])/2 + (22*t[15])/9 - t[20] + t[28] + 
       (27*t[29])/4 - (3*t[30])/2 - t[31] + (7*t[32])/2 - (3*t[33])/2 - 
       t[34] - 4*t[35] + t[38] + 3*t[39] - t[40]/2 + t[41] - t[42] - 
       (11*t[44])/4 + 2*t[47] + (7*t[48])/4 + (13*t[49])/4 - (9*t[51])/8 - 
       2*t[52] + (3*t[53])/4 + (49*t[54])/4 + t[59]/2 + (17*t[60])/2 + 
       (115*t[61])/2 - (243*t[62])/8 - (177*t[63])/8 - (13*t[64])/4 + 
       (7*t[65])/6 - (49*t[66])/6 - t[69] - t[72] + t[73] + t[75] + 5*t[76] + 
       2*t[77] - 10*t[78] - t[79] + 4*t[80] - 2*t[81] - 2*t[82] - 
       (3*t[83])/2 - (3*t[84])/2 - (3*t[85])/2 + 5*t[86] + (33*t[87])/4 + 
       (37*t[88])/8 + (69*t[89])/4 + 6*t[96] + 4*t[97] + 48*t[98] - 
       48*t[99] - 24*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      ((-9*t[2])/2 + (181*t[3])/48 + (25*t[4])/4 + (22*t[5])/3 - 
       (209*t[6])/48 - (53*t[7])/24 - (473*t[8])/24 - (31*t[9])/2 - 
       (121*t[10])/24 + (673*t[11])/48 + (7*t[12])/12 + (89*t[13])/16 - 
       (547*t[14])/36 + (1261*t[15])/864 - (8*t[28])/3 + (8*t[29])/3 + 
       (5*t[30])/2 + (5*t[32])/6 - t[33]/3 - (23*t[34])/6 - 2*t[35] + 
       (25*t[44])/2 + (7*t[48])/48 + (15*t[49])/8 + (83*t[50])/48 - 
       (15*t[51])/16 - (83*t[52])/48 - (15*t[53])/8 - (473*t[54])/48 + 
       (7*t[59])/12 - (191*t[60])/8 + (89*t[61])/24 - (17*t[62])/16 + 
       (703*t[63])/48 + (455*t[64])/48 + (155*t[65])/12 - (31*t[66])/36 - 
       t[69] - (2*t[73])/3 - (11*t[74])/3 + (28*t[75])/3 + t[79]/3 + 
       (10*t[81])/3 - (10*t[82])/3 - (23*t[83])/2 - (91*t[84])/12 - 
       (61*t[85])/12 + (11*t[86])/3 + (75*t[87])/4 + (191*t[88])/24 - 
       (105*t[89])/16 + (16*t[95])/3 - (35*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*((37*t[2])/4 + (383*t[3])/48 + 
       (29*t[4])/12 + (413*t[5])/24 - (287*t[6])/48 - (523*t[7])/24 + 
       (37*t[8])/24 - (485*t[9])/24 - (25*t[10])/24 + (223*t[11])/48 - 
       (47*t[12])/24 + (1091*t[13])/144 - (65*t[14])/4 - (2255*t[15])/864 - 
       t[20] + (22*t[28])/3 - 5*t[29] + (35*t[30])/12 + t[32]/4 + 
       (23*t[33])/4 + t[34]/6 - (20*t[35])/3 + (2*t[44])/3 + (221*t[48])/48 + 
       (25*t[49])/24 - (307*t[50])/48 - (25*t[51])/48 + (307*t[52])/48 - 
       (25*t[53])/24 - (391*t[54])/48 - (53*t[59])/12 - (343*t[60])/24 - 
       (467*t[61])/24 + (553*t[62])/48 - (49*t[63])/48 + (1583*t[64])/48 + 
       (139*t[65])/18 - (139*t[66])/18 - (5*t[69])/3 + t[70]/3 + t[73]/3 - 
       (4*t[74])/3 + (25*t[75])/3 - (2*t[79])/3 + (3*t[81])/2 - (3*t[82])/2 - 
       (29*t[83])/3 - (26*t[84])/3 - (27*t[85])/4 + (223*t[87])/12 + 
       (59*t[88])/8 + (47*t[89])/48 + (16*t[95])/3 - (35*t[100])/2)*
      \[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((-71*t[3])/4 - (127*t[5])/6 + (47*t[6])/24 + (271*t[7])/6 - 
       (103*t[8])/6 + (153*t[9])/4 - (4*t[10])/3 - (5*t[11])/8 + 
       (2*t[12])/3 - (35*t[13])/6 + (1993*t[14])/72 + (73*t[15])/27 - t[20] - 
       (20*t[28])/3 - (9*t[29])/2 - t[30] + (3*t[32])/2 - 2*t[35] + 
       (34*t[44])/3 - (451*t[48])/24 + (421*t[50])/24 - (421*t[52])/24 + 
       (47*t[54])/24 - (19*t[60])/12 + (181*t[61])/4 - (443*t[62])/24 + 
       (571*t[63])/24 - (887*t[64])/24 + (421*t[65])/36 + (103*t[66])/36 - 
       t[69] - 2*t[73] - 8*t[75] + 2*t[79] + (55*t[83])/6 + (35*t[84])/4 + 
       (35*t[85])/4 + (16*t[86])/3 + (163*t[87])/12 + (163*t[88])/24 + 
       (13*t[89])/8 - 17*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((7*t[2])/6 - (133*t[3])/12 + (35*t[4])/12 - 
       t[5]/8 + (73*t[6])/24 - (13*t[7])/4 - (11*t[8])/4 - (19*t[9])/24 + 
       t[10]/24 + (65*t[11])/24 + (7*t[12])/12 + (67*t[13])/9 + 
       (1421*t[14])/144 - (947*t[15])/432 - (7*t[20])/3 - (14*t[28])/3 - 
       (35*t[29])/3 - (85*t[32])/6 + (37*t[33])/3 + (5*t[34])/3 - 6*t[35] + 
       (5*t[44])/2 - (161*t[48])/24 + t[49]/24 - (121*t[50])/24 - t[51]/48 + 
       (121*t[52])/24 - t[53]/24 + (71*t[54])/24 + 23*t[60] + (53*t[61])/6 - 
       (55*t[62])/4 - (469*t[63])/12 + (61*t[64])/12 - 4*t[65] - 
       (136*t[66])/3 - 2*t[69] + t[70] - t[71] - 2*t[73] + 2*t[74] - 
       8*t[75] + 2*t[79] + t[81] - t[82] + (55*t[83])/6 + (61*t[84])/6 + 
       (53*t[85])/6 + (16*t[86])/3 + 12*t[87] + 6*t[88] + (33*t[89])/2 - 
       17*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      ((-9*t[3])/4 + (13*t[5])/48 - (245*t[6])/48 + (73*t[7])/6 - 
       (469*t[8])/24 + (73*t[9])/16 - (23*t[10])/24 + (97*t[11])/16 + 
       (23*t[12])/48 + (17*t[13])/24 + (191*t[14])/36 + (425*t[15])/864 - 
       (19*t[28])/6 - (39*t[29])/8 - 2*t[30] + t[31]/2 + t[35] - 
       (3*t[40])/4 + (131*t[44])/24 - (365*t[48])/48 + (233*t[50])/48 - 
       (233*t[52])/48 - (245*t[54])/48 - (41*t[60])/24 + (103*t[61])/8 - 
       (269*t[62])/24 + (49*t[63])/24 - (199*t[64])/48 - (7*t[65])/18 - 
       (271*t[66])/18 + t[72]/2 - t[73]/2 - (7*t[75])/2 + (3*t[76])/2 + 
       t[79]/2 + (20*t[83])/3 + (3*t[84])/2 + (3*t[85])/2 + (23*t[86])/6 + 
       (137*t[87])/24 + (137*t[88])/48 - (97*t[89])/16 - 8*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      ((-13*t[2])/24 - (16*t[3])/3 + (25*t[4])/24 - (27*t[5])/4 - 
       (211*t[6])/48 + (41*t[7])/4 - (51*t[8])/8 + (22*t[9])/3 + 
       (17*t[10])/48 + (289*t[11])/48 + (37*t[12])/48 + (53*t[13])/72 + 
       (1555*t[14])/288 + (883*t[15])/432 - (4*t[20])/3 - t[23]/2 - t[24]/2 - 
       (8*t[28])/3 - (2*t[29])/3 + (9*t[30])/4 + t[31]/2 - (53*t[32])/12 + 
       (37*t[33])/12 - (4*t[34])/3 + (17*t[44])/4 - (151*t[48])/48 - 
       (7*t[49])/48 + (295*t[50])/48 + (7*t[51])/96 - (295*t[52])/48 + 
       (7*t[53])/48 - (161*t[54])/48 + t[59]/12 - 4*t[60] + (389*t[61])/24 - 
       (71*t[62])/8 + (277*t[63])/24 - (185*t[64])/48 + (14*t[65])/3 - 
       (65*t[66])/6 - t[73]/2 + t[74]/2 - (7*t[75])/2 + (3*t[76])/2 + 
       t[79]/2 + t[81]/4 - t[82]/4 + (20*t[83])/3 + (13*t[84])/6 + 
       (29*t[85])/24 + (23*t[86])/6 + 6*t[87] + 3*t[88] - t[89]/8 - 8*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - w]^4*((19*t[2])/12 - (71*t[3])/12 - t[4]/8 - 
       (115*t[5])/24 - (61*t[6])/8 + (44*t[7])/3 - (241*t[8])/12 + 
       (457*t[9])/24 + (9*t[10])/16 + (37*t[11])/6 - (11*t[12])/48 - 
       (9*t[13])/8 + (3385*t[14])/288 + (29*t[15])/216 - (4*t[20])/3 - 
       (8*t[28])/3 + (5*t[29])/4 - 4*t[30] + (4*t[32])/3 - (8*t[33])/3 - 
       (4*t[34])/3 - t[35]/3 - 4*t[44] - (151*t[48])/24 + (3*t[49])/16 + 
       (139*t[50])/24 - (3*t[51])/32 - (139*t[52])/24 - (3*t[53])/16 - 
       (43*t[54])/6 - (11*t[59])/12 + (367*t[60])/24 - (493*t[62])/48 - 
       (45*t[63])/16 - (1357*t[64])/48 - (53*t[65])/4 - (128*t[66])/9 + 
       (2*t[69])/3 - t[70]/3 + t[71]/4 + t[73]/6 + (2*t[74])/3 - 
       (29*t[75])/6 + (2*t[79])/3 + t[81]/12 - t[82]/12 + (11*t[83])/2 + 
       (13*t[84])/4 + (31*t[85])/8 + (8*t[86])/3 - (97*t[87])/8 - 
       (97*t[88])/16 - (97*t[89])/48 + 3*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^4*(-t[3]/2 - (59*t[5])/16 + (175*t[6])/24 - 
       (89*t[7])/24 + (535*t[8])/24 + (359*t[9])/48 + (5*t[10])/8 - 
       (95*t[11])/12 - (5*t[12])/16 - (5*t[13])/6 + (115*t[14])/16 - 
       (1447*t[15])/864 + (5*t[28])/6 + 3*t[29] - 4*t[30] - (109*t[44])/12 + 
       (91*t[48])/24 - (79*t[50])/24 + (79*t[52])/24 + (175*t[54])/24 + 
       (163*t[60])/12 - (47*t[61])/6 + (197*t[62])/24 - (215*t[63])/24 - 
       (67*t[64])/6 - (115*t[65])/36 + (221*t[66])/36 + t[73]/6 - 
       (29*t[75])/6 + t[79]/6 + (23*t[83])/6 + (7*t[84])/2 + (7*t[85])/2 - 
       (5*t[86])/2 - (163*t[87])/12 - (163*t[88])/24 + (95*t[89])/12 + 
       3*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((13*t[2])/4 - (37*t[3])/2 - (119*t[4])/4 + 
       (11*t[5])/8 + (469*t[6])/16 + (149*t[8])/4 + (121*t[9])/4 + 
       (43*t[10])/8 - (389*t[11])/16 + 15*t[12] - (119*t[13])/12 + 
       (335*t[14])/8 + (181*t[15])/72 + 2*t[19] - 2*t[20] - 2*t[21] - 
       2*t[28] - 8*t[29] - 16*t[30] + 2*t[31] + 2*t[32] + 5*t[33] + 
       10*t[34] + 4*t[35] - 4*t[36] - 3*t[37] - 3*t[38] + 6*t[39] - 
       (27*t[40])/2 + (3*t[41])/2 - t[42]/2 + t[43]/2 - 5*t[44] - 11*t[45] - 
       t[46] + 6*t[47] - (53*t[48])/16 + (61*t[49])/8 - (161*t[50])/16 - 
       (65*t[51])/16 + (449*t[52])/16 - (61*t[53])/8 + (305*t[54])/16 + 
       t[59] + (345*t[60])/8 - (177*t[61])/8 - (167*t[62])/16 - 
       (161*t[63])/16 - (425*t[64])/16 - (743*t[65])/24 - (247*t[66])/8 + 
       2*t[70] - 2*t[71] - 4*t[73] + 3*t[74] + 4*t[75] + 8*t[76] + t[77] - 
       21*t[78] + 28*t[80] + t[81]/2 + (9*t[82])/2 + (9*t[84])/8 + 
       (107*t[85])/8 - 6*t[86] - (403*t[87])/8 - (243*t[88])/16 - 
       (269*t[89])/16 - 2*t[95] - 2*t[96] + 4*t[97] + 48*t[98] - 60*t[99] + 
       5*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((5*t[1])/2 - (49*t[2])/4 - (273*t[3])/8 + 
       (7*t[4])/4 - (415*t[5])/8 - (361*t[6])/16 + (385*t[7])/4 - 23*t[8] + 
       (425*t[9])/4 + (115*t[10])/8 + (233*t[11])/16 + 15*t[12] - 
       (181*t[13])/8 + (1553*t[14])/24 + (559*t[15])/144 + 2*t[19] - 
       6*t[20] - 2*t[21] + 2*t[22] + 2*t[23] - 4*t[24] + 2*t[25] - t[26] + 
       2*t[27] - (3*t[29])/2 - 6*t[30] - 2*t[31] + 15*t[32] - 7*t[33] - 
       13*t[34] + 6*t[36] - 3*t[37] + 2*t[38] + 11*t[39] - (5*t[40])/2 + 
       2*t[41] - 2*t[42] + (3*t[43])/2 + (7*t[44])/4 + 16*t[45] + t[46] - 
       11*t[47] - (179*t[48])/16 - (11*t[49])/8 + (169*t[50])/16 + 
       (125*t[51])/16 - (281*t[52])/16 + (99*t[53])/8 + (291*t[54])/16 - 
       t[58] + 3*t[59] + (195*t[60])/8 + (691*t[61])/8 - (1275*t[62])/16 - 
       (21*t[63])/16 - (1421*t[64])/16 + (139*t[65])/8 - (641*t[66])/24 + 
       2*t[70] - 2*t[71] + 6*t[72] - 4*t[73] - t[74] + 12*t[75] + 19*t[76] - 
       20*t[78] - 8*t[79] + 8*t[80] + (5*t[81])/2 - (21*t[82])/2 - 4*t[83] - 
       (3*t[84])/8 - (9*t[85])/8 - 2*t[86] - (159*t[87])/8 + (17*t[88])/16 + 
       (173*t[89])/16 + 2*t[95] + 8*t[96] + 6*t[97] + 48*t[98] - 60*t[99] + 
       5*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(-2*t[1] + (15*t[2])/4 - (347*t[3])/8 - 
       (117*t[4])/4 - (117*t[5])/8 + (587*t[6])/16 + (69*t[7])/4 + 61*t[8] + 
       (131*t[9])/2 - (47*t[10])/8 - (451*t[11])/16 + (43*t[12])/2 - 
       (1079*t[13])/72 + (1463*t[14])/24 + (511*t[15])/144 - 2*t[19] - 
       2*t[21] + 2*t[23] + 2*t[24] + (3*t[29])/2 - 12*t[30] + 2*t[31] + 
       10*t[32] - 3*t[33] + 12*t[34] + 4*t[36] + 5*t[37] - 3*t[38] + 
       4*t[39] - (25*t[40])/2 - (3*t[41])/2 + t[42]/2 + t[43]/2 - 
       (31*t[44])/4 - 17*t[45] - t[46] + 16*t[47] + (129*t[48])/16 + 
       (55*t[49])/8 - (99*t[50])/16 - (75*t[51])/16 + (355*t[52])/16 - 
       (55*t[53])/8 + (343*t[54])/16 + t[59] + (571*t[60])/8 - 
       (385*t[61])/8 - (7*t[62])/16 - (313*t[63])/16 - (569*t[64])/16 - 
       (271*t[65])/24 + (31*t[66])/24 - 2*t[69] + 4*t[70] - 4*t[71] - 
       2*t[72] - 4*t[73] + t[74] + 4*t[75] + 14*t[76] - t[77] - t[78] - 
       8*t[79] + 8*t[80] + (7*t[81])/2 + (3*t[82])/2 - 4*t[83] + 
       (37*t[84])/8 + (227*t[85])/8 + 2*t[86] - (443*t[87])/8 - 
       (283*t[88])/16 - (3*t[89])/16 - 2*t[95] - 2*t[96] + 4*t[97] + 
       96*t[98] - 108*t[99] + 18*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      (8*t[1] - t[2]/4 - (69*t[3])/2 + (37*t[4])/4 - (33*t[5])/8 + 
       (17*t[6])/16 + 52*t[7] + (145*t[8])/4 + (255*t[9])/4 + (235*t[10])/8 + 
       (287*t[11])/16 - t[12]/2 + (139*t[13])/36 + (943*t[14])/24 - 
       (319*t[15])/72 - 2*t[25] - 2*t[28] + 4*t[29] - 6*t[30] + 14*t[32] - 
       7*t[33] + 4*t[35] - 4*t[36] + t[37] + 4*t[38] + 7*t[39] - 
       (13*t[40])/2 + (5*t[41])/2 - (5*t[42])/2 + (3*t[43])/2 - 4*t[44] - 
       t[45] - t[46] + 4*t[47] + (79*t[48])/16 + (93*t[49])/8 - 
       (45*t[50])/16 - (57*t[51])/16 + (77*t[52])/16 - (29*t[53])/8 + 
       (29*t[54])/16 - t[59]/2 + (453*t[60])/8 + (291*t[61])/8 - 
       (1515*t[62])/16 - (1661*t[63])/16 + (75*t[64])/16 - (1507*t[65])/24 - 
       (1745*t[66])/24 + 2*t[70] - 2*t[71] - 2*t[72] - 4*t[73] + 3*t[74] + 
       4*t[75] + 16*t[76] + 7*t[77] - 20*t[78] + 26*t[80] - (9*t[81])/2 - 
       (7*t[82])/2 - (83*t[84])/8 - (57*t[85])/8 + 30*t[86] - (207*t[87])/8 - 
       (63*t[88])/16 + (255*t[89])/16 - 2*t[95] + 12*t[96] + 9*t[97] + 
       96*t[98] - 108*t[99] + 18*t[100])*\[Zeta][3] + 
     HPL[{0, 0, 1, 1}, 1 - w]*(t[1] - 16*t[2] - 4*t[3] + 21*t[4] - 
       (19*t[5])/2 + (51*t[6])/2 + 29*t[7] - 21*t[8] + (69*t[9])/2 + 
       (85*t[10])/2 - (53*t[11])/2 + 7*t[12] - (113*t[13])/18 + 
       (65*t[14])/12 - (55*t[15])/12 - 4*t[32] + 8*t[33] - 2*t[34] + 
       4*t[37] + 2*t[38] - 14*t[39] + 8*t[40] - 7*t[41] + 7*t[42] - 2*t[43] + 
       4*t[44] - 4*t[45] - 8*t[47] - (19*t[48])/2 - (3*t[49])/2 + 
       (29*t[50])/2 + (7*t[51])/4 - (21*t[52])/2 + (27*t[53])/2 + 
       (5*t[54])/2 - 4*t[59] + 10*t[60] - 10*t[61] - 17*t[62] - 7*t[63] - 
       65*t[64] - (52*t[65])/3 - 22*t[66] - 16*t[76] - 4*t[77] - 8*t[78] - 
       32*t[80] - 10*t[81] + 20*t[82] + 12*t[84] + 12*t[85] - 8*t[86] - 
       8*t[87] - 4*t[88] - 9*t[89] - 4*t[97] - 48*t[98] + 48*t[99] + 
       24*t[100])*\[Zeta][3] + HPL[{0, 0, 1, 1}, 1 - u]*
      (t[1] - t[2] - 18*t[3] - t[4] - (61*t[5])/2 + (31*t[6])/2 + 23*t[7] + 
       17*t[8] + (101*t[9])/2 + (23*t[10])/2 - (41*t[11])/2 + 13*t[12] + 
       (121*t[13])/18 + (163*t[14])/12 - t[15]/12 + 8*t[34] - 4*t[37] + 
       2*t[38] - 12*t[39] + 18*t[40] + t[41] - t[42] + 2*t[43] + 8*t[45] + 
       4*t[47] - (3*t[48])/2 - (21*t[49])/2 + (37*t[50])/2 + (25*t[51])/4 - 
       (45*t[52])/2 + (25*t[53])/2 + (17*t[54])/2 + t[59] + 14*t[60] + 
       9*t[61] - 4*t[62] - 36*t[63] - 24*t[64] + (40*t[65])/3 - 
       (68*t[66])/3 - 4*t[76] + 12*t[77] + 4*t[78] + 16*t[80] + 2*t[81] - 
       4*t[82] + 14*t[84] + 6*t[85] + 8*t[86] + 6*t[87] + 3*t[88] + 6*t[89] - 
       4*t[97] - 48*t[98] + 48*t[99] + 24*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*((-11*t[2])/8 + (47*t[3])/12 - 
       (17*t[4])/6 + (43*t[5])/12 + (13*t[6])/4 - (497*t[7])/24 + 
       (617*t[8])/24 - (62*t[9])/3 + (77*t[10])/24 - (20*t[11])/3 + 
       (11*t[12])/8 - (157*t[13])/72 - (541*t[14])/72 + (929*t[15])/432 + 
       (7*t[20])/6 - (4*t[28])/3 + (35*t[29])/24 + (23*t[30])/4 - 
       (41*t[32])/12 + (31*t[33])/12 + t[34]/6 + 6*t[35] - (169*t[44])/24 + 
       t[48]/2 - (5*t[49])/6 - (25*t[50])/4 + (5*t[51])/12 + (25*t[52])/4 + 
       (5*t[53])/6 + (71*t[54])/12 + (11*t[59])/12 - (217*t[60])/12 + 
       (53*t[61])/24 + (455*t[62])/48 + (397*t[63])/48 + (527*t[64])/16 + 
       (97*t[65])/9 + (649*t[66])/36 + 2*t[69] + t[74]/2 - 8*t[75] - 
       t[79]/2 - (3*t[81])/2 + (3*t[82])/2 + (71*t[83])/6 - (61*t[84])/12 - 
       (37*t[85])/6 - (23*t[86])/6 + (97*t[87])/12 + (31*t[88])/24 + 
       (11*t[89])/2 + 29*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*((-7*t[1])/2 + (77*t[2])/12 + (4069*t[3])/48 + 
       4*t[4] + (2291*t[5])/24 - (4201*t[6])/96 - (1405*t[7])/24 - 
       (289*t[8])/3 - (1611*t[9])/16 - (33*t[10])/2 + (667*t[11])/32 - 
       (199*t[12])/24 + (3553*t[13])/432 - (19135*t[14])/288 + 
       (613*t[15])/72 - 2*t[18] - 2*t[19] - (13*t[20])/3 + 2*t[21] + 
       2*t[22] - 5*t[23] + (2*t[24])/3 + (7*t[27])/3 + (4*t[28])/3 - 
       (91*t[29])/12 + (10*t[30])/3 - (475*t[32])/12 + 19*t[33] + 
       (55*t[34])/6 + 2*t[35] - 2*t[36] - (2*t[37])/3 - (10*t[38])/3 - 
       (8*t[39])/3 + (25*t[40])/6 - (16*t[41])/3 + (13*t[42])/3 - t[43]/3 - 
       (37*t[44])/24 - (107*t[45])/6 + (19*t[47])/2 - (2243*t[48])/96 + 
       (121*t[49])/6 - (1207*t[50])/96 - (49*t[51])/4 + (1031*t[52])/96 - 
       (113*t[53])/6 - (5593*t[54])/96 - (21*t[59])/4 - (7651*t[60])/48 - 
       (5383*t[61])/48 + (11015*t[62])/96 + (3899*t[63])/32 + 
       (7489*t[64])/96 - (5159*t[65])/144 + (7943*t[66])/144 + 2*t[69] - 
       (26*t[70])/3 + (26*t[71])/3 + t[72]/3 + 4*t[73] - 2*t[74] - 2*t[75] + 
       (107*t[76])/6 - (34*t[77])/3 - (121*t[78])/6 + 3*t[79] + 
       (34*t[80])/3 - (7*t[81])/2 + (43*t[82])/3 + 9*t[83] - (845*t[84])/16 - 
       (211*t[85])/48 - (107*t[86])/3 + (1463*t[87])/48 - (499*t[88])/32 - 
       (5669*t[89])/96 + 14*t[95] + (26*t[96])/3 - (3*t[97])/2 + 132*t[98] - 
       116*t[99] + 33*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*(t[1] - (43*t[2])/3 + (829*t[3])/12 + (99*t[4])/2 + 
       (935*t[5])/24 - (5839*t[6])/96 + (91*t[7])/4 - (905*t[8])/8 - 
       (477*t[9])/16 + (19*t[10])/4 + (8791*t[11])/96 + t[12]/12 + 
       (4373*t[13])/108 - (2371*t[14])/96 + (935*t[15])/96 - (5*t[20])/3 + 
       2*t[22] - (14*t[24])/3 - (8*t[27])/3 - (20*t[28])/3 - (7*t[29])/6 + 
       13*t[30] - 2*t[31] - (319*t[32])/12 + (8*t[33])/3 - (11*t[34])/3 - 
       2*t[35] - (8*t[37])/3 + (7*t[38])/6 - t[39]/6 + (101*t[40])/12 + 
       t[41]/6 - t[42]/6 + (2*t[43])/3 + (65*t[44])/6 - 8*t[45] - t[46]/2 + 
       15*t[47] - (2977*t[48])/96 + (191*t[49])/12 + (417*t[50])/32 - 
       (25*t[51])/4 - (865*t[52])/32 - (103*t[53])/12 - (5639*t[54])/96 + 
       (10*t[59])/3 - (6521*t[60])/48 + (3637*t[61])/48 - (277*t[62])/96 + 
       (2983*t[63])/32 + (4081*t[64])/96 - (3179*t[65])/144 - (13*t[66])/16 - 
       2*t[69] - (20*t[70])/3 + (20*t[71])/3 - 8*t[72] + 3*t[73] - 6*t[74] - 
       t[75] + (56*t[76])/3 + (10*t[77])/3 - (53*t[78])/3 + 4*t[79] + 
       16*t[80] + (11*t[81])/6 - (5*t[82])/6 + 15*t[83] - (829*t[84])/16 - 
       (2011*t[85])/48 - (8*t[86])/3 + (597*t[87])/16 - (1169*t[88])/96 - 
       (817*t[89])/32 + 14*t[95] + (50*t[96])/3 + 3*t[97] + 132*t[98] - 
       116*t[99] + 33*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*(-3*t[2] - (77*t[3])/8 + t[4]/2 - (14*t[5])/3 + 
       (83*t[6])/3 - (125*t[7])/4 + (799*t[8])/12 + (13*t[9])/12 + 
       (29*t[10])/12 - (91*t[11])/3 - (4*t[12])/3 - (5*t[13])/24 - 
       (293*t[14])/24 - (737*t[15])/432 + 2*t[20] + (40*t[28])/3 + 
       (8*t[29])/3 + (8*t[30])/3 + (35*t[32])/6 + t[33] + (11*t[34])/3 + 
       4*t[35] - (71*t[44])/6 + (203*t[48])/12 + t[49]/4 - (71*t[50])/4 - 
       t[51]/8 + (71*t[52])/4 - t[53]/4 + (163*t[54])/6 + (5*t[59])/6 + 
       (85*t[60])/6 - (110*t[61])/3 + (233*t[62])/6 - (283*t[63])/6 + 
       (55*t[64])/4 + (1039*t[65])/36 + (113*t[66])/4 + 2*t[69] + 4*t[73] - 
       (2*t[74])/3 + 16*t[75] - 4*t[79] + t[81]/3 - t[82]/3 - (55*t[83])/3 + 
       (83*t[84])/12 + (89*t[85])/12 - (32*t[86])/3 + (63*t[87])/4 + 
       (281*t[88])/24 + (347*t[89])/12 + (4*t[95])/3 + 34*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((-3*t[1])/2 + (389*t[2])/12 - (151*t[3])/8 - (361*t[4])/12 + 
       (105*t[5])/8 - (1393*t[6])/48 + (535*t[7])/12 - (73*t[8])/3 + 
       (196*t[9])/3 - (169*t[10])/8 + (427*t[11])/16 + (57*t[12])/4 - 
       (467*t[13])/54 + (193*t[14])/4 + (781*t[15])/48 + 2*t[18] + 4*t[21] - 
       4*t[22] - 3*t[23] - (2*t[24])/3 + (13*t[27])/3 - (8*t[28])/3 + 
       (37*t[29])/6 - 11*t[30] - 2*t[31] + 8*t[32] - (15*t[33])/2 - 4*t[34] - 
       6*t[35] + 2*t[36] + (4*t[37])/3 - (17*t[38])/6 + (23*t[39])/6 - 
       (61*t[40])/12 + (7*t[41])/6 - t[42]/6 + (5*t[43])/3 - (3*t[44])/4 - 
       (17*t[45])/2 + (25*t[47])/2 - (487*t[48])/48 + (29*t[49])/24 + 
       (1433*t[50])/48 - (73*t[51])/48 - (857*t[52])/48 - (15*t[53])/8 - 
       (1657*t[54])/48 - (7*t[59])/2 + (187*t[60])/24 - (53*t[61])/24 - 
       (1099*t[62])/48 + (241*t[63])/16 - (2429*t[64])/48 - (283*t[65])/24 - 
       (731*t[66])/72 - 2*t[69] - (2*t[70])/3 + (2*t[71])/3 + 19*t[72] + 
       3*t[74] - 6*t[75] + (17*t[76])/3 - (11*t[77])/3 + (22*t[78])/3 + 
       14*t[80] - (19*t[81])/6 + (20*t[82])/3 + 28*t[83] - (5*t[84])/24 + 
       (19*t[85])/8 + (112*t[86])/3 - (1007*t[87])/24 - (109*t[88])/16 - 
       (645*t[89])/16 - (13*t[96])/3 + t[97] + 12*t[98] - 44*t[99] + 
       36*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      (3*t[1] + (55*t[2])/6 - (29*t[3])/6 + (187*t[4])/12 + (1099*t[5])/24 + 
       (95*t[6])/16 - (33*t[7])/4 + 47*t[8] + (14*t[9])/3 + (53*t[10])/8 + 
       (1127*t[11])/48 + (5*t[12])/3 + (2771*t[13])/216 + (232*t[14])/9 + 
       (691*t[15])/72 + 2*t[19] - 2*t[20] - 2*t[21] + 2*t[23] - (4*t[24])/3 - 
       (14*t[27])/3 - (14*t[28])/3 + (49*t[29])/12 - (49*t[30])/6 + 
       (41*t[32])/6 - t[33]/3 - 5*t[34] + 6*t[35] - 4*t[36] - (2*t[37])/3 + 
       (5*t[38])/3 - (2*t[39])/3 - (11*t[40])/6 + t[41]/6 - t[42]/6 + 
       (2*t[43])/3 - (119*t[44])/6 + (7*t[45])/6 - t[46]/2 + (3*t[47])/2 + 
       (679*t[48])/48 + (67*t[49])/8 - (481*t[50])/48 - (35*t[51])/48 + 
       (123*t[52])/16 - (73*t[53])/24 - (167*t[54])/48 + (25*t[59])/12 + 
       (917*t[60])/24 + (761*t[61])/24 - (285*t[62])/16 - (1195*t[63])/16 - 
       (655*t[64])/16 - (3317*t[65])/72 - (349*t[66])/24 + (10*t[70])/3 - 
       (10*t[71])/3 + (34*t[72])/3 - t[73] + t[74] + 3*t[75] + (22*t[76])/3 + 
       (14*t[77])/3 + (11*t[78])/6 - t[79] + (13*t[80])/3 - 5*t[81] - 
       (8*t[82])/3 + 13*t[83] - (217*t[84])/24 - (571*t[85])/24 - 
       (35*t[86])/3 - (305*t[87])/8 - (235*t[88])/48 - (361*t[89])/48 + 
       (8*t[96])/3 + (11*t[97])/2 + 12*t[98] - 44*t[99] + 36*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (-t[1]/2 + (3*t[2])/4 - 9*t[3] - (9*t[4])/4 - (38*t[5])/3 + 
       (91*t[6])/6 - (17*t[7])/2 + (58*t[8])/3 + (205*t[9])/12 - 
       (59*t[10])/24 - (179*t[11])/6 - (143*t[12])/24 - (77*t[13])/18 - 
       (81*t[14])/16 - (847*t[15])/216 + (19*t[28])/3 + (29*t[29])/12 + 
       (23*t[30])/12 - t[31] + (37*t[32])/12 + (5*t[33])/4 + (5*t[34])/3 - 
       2*t[35] + t[38]/2 - (3*t[39])/2 + (5*t[40])/2 - t[41]/2 + t[42]/2 - 
       (79*t[44])/12 + (7*t[45])/2 - (7*t[47])/2 + (35*t[48])/12 - 
       (31*t[49])/8 - 4*t[50] + (35*t[51])/16 + 2*t[52] + (15*t[53])/8 + 
       (239*t[54])/12 - (5*t[59])/12 + (353*t[60])/12 - (425*t[61])/12 + 
       (737*t[62])/24 - (871*t[63])/24 - (197*t[64])/8 + (535*t[65])/36 + 
       (265*t[66])/12 - t[72] + t[73] + (4*t[74])/3 + 7*t[75] - 
       (15*t[76])/2 - t[77] + 7*t[78] - t[79] - 5*t[80] - t[81]/6 + 
       (7*t[82])/6 - (40*t[83])/3 + (215*t[84])/12 + (155*t[85])/12 - 
       (23*t[86])/3 + (17*t[87])/4 + (83*t[88])/24 + (589*t[89])/24 - 
       (8*t[95])/3 - 3*t[96] - (5*t[97])/2 - 48*t[98] + 48*t[99] + 40*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (6*t[1] + (37*t[2])/2 - (25*t[3])/2 - (61*t[4])/2 - (77*t[5])/2 - 
       (45*t[6])/2 + (181*t[7])/2 + (27*t[8])/2 + 123*t[9] - (241*t[10])/4 + 
       32*t[11] + (33*t[12])/4 + (83*t[13])/36 + (271*t[14])/24 + 
       (13*t[15])/6 - 4*t[18] - 2*t[19] - 4*t[20] + 4*t[21] + 2*t[22] - 
       8*t[23] - 4*t[24] - 8*t[25] + 4*t[26] - 2*t[28] + 6*t[29] + 12*t[30] + 
       2*t[31] + t[32] - 2*t[34] + 4*t[35] - 2*t[36] - 12*t[37] + 4*t[38] + 
       2*t[39] - 2*t[40] - 2*t[41] + 2*t[42] + t[43] + 13*t[44] - 18*t[45] + 
       10*t[46] + 28*t[47] - 20*t[48] - (25*t[49])/4 + 39*t[50] - 
       (59*t[51])/8 - 39*t[52] + (25*t[53])/4 - (49*t[54])/2 + 4*t[57] - 
       4*t[59] - (55*t[60])/2 + (63*t[61])/2 - (103*t[62])/4 - 
       (597*t[63])/4 - (189*t[64])/4 + (109*t[65])/6 - (449*t[66])/6 - 
       4*t[69] - 4*t[70] + 4*t[71] + 12*t[72] + 12*t[73] + 8*t[74] + 
       4*t[75] + 22*t[76] - 10*t[78] + 80*t[80] - 8*t[81] - 12*t[82] + 
       62*t[83] + (5*t[84])/2 + (53*t[85])/2 + 144*t[86] + (23*t[87])/2 + 
       (23*t[88])/4 - (131*t[89])/4 + 80*t[98] - 64*t[99] + 58*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      (-2*t[1] + 18*t[2] - (25*t[3])/2 + (47*t[4])/2 - (7*t[5])/2 + 5*t[6] - 
       21*t[7] - 7*t[8] + (95*t[9])/2 + (33*t[10])/4 + (23*t[11])/2 + 
       (75*t[12])/4 + (199*t[13])/6 + (635*t[14])/24 - (101*t[15])/4 - 
       4*t[20] + 4*t[26] - 8*t[28] - 4*t[29] - 4*t[30] + 2*t[31] + t[32] + 
       8*t[34] + 4*t[35] - 6*t[36] - 4*t[37] - 4*t[38] + 4*t[39] - 3*t[40] - 
       2*t[43] - 8*t[44] - 8*t[45] + 2*t[46] + 22*t[47] - 14*t[48] + 
       (7*t[49])/4 - 14*t[50] - (39*t[51])/8 + 12*t[52] - (7*t[53])/4 - 
       (21*t[54])/2 - 2*t[59] + (199*t[60])/2 + (45*t[61])/2 + (41*t[62])/4 - 
       (589*t[63])/4 - (351*t[64])/4 - (200*t[65])/3 - (554*t[66])/3 - 
       6*t[69] + 4*t[72] + 12*t[73] + 6*t[74] + 12*t[75] + 24*t[76] + 
       4*t[77] + 4*t[78] + 4*t[79] + 12*t[80] + 5*t[81] - 5*t[82] + 7*t[83] + 
       19*t[84] + (37*t[85])/2 - 8*t[86] - (75*t[87])/2 - (71*t[88])/4 - 
       (51*t[89])/4 + 80*t[98] - 64*t[99] + 58*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-17*t[1])/6 - (85*t[2])/4 - (61*t[3])/24 - (173*t[4])/4 - 
       (177*t[5])/8 + (117*t[6])/16 - (157*t[7])/12 - 31*t[8] - 
       (413*t[9])/12 + (149*t[10])/8 - (3023*t[11])/48 + 5*t[12] - 
       (2087*t[13])/72 - (135*t[14])/4 - (2281*t[15])/432 - 2*t[18] - 
       2*t[20] - 4*t[21] + 2*t[22] + (10*t[23])/3 + 2*t[24] - 4*t[27] + 
       (34*t[28])/3 + (26*t[29])/3 + 16*t[30] + 4*t[31] + (23*t[32])/3 - 
       (4*t[33])/3 + (7*t[34])/3 + 4*t[35] + 4*t[36] + (13*t[37])/3 - 
       3*t[38] - 5*t[39] - (11*t[40])/3 - t[42] - (5*t[43])/6 + 
       (83*t[44])/12 - (14*t[45])/3 - t[46] - t[47] + (485*t[48])/48 - 
       (89*t[49])/8 + (233*t[50])/48 + (45*t[51])/16 + (167*t[52])/48 + 
       (57*t[53])/8 + (787*t[54])/48 + (7*t[59])/6 - (287*t[60])/8 - 
       (647*t[61])/8 + (1133*t[62])/48 + (7243*t[63])/48 + (2095*t[64])/48 + 
       (5581*t[65])/72 + (911*t[66])/8 + 4*t[69] + (10*t[70])/3 - 
       (10*t[71])/3 - 8*t[72] - 8*t[73] - 9*t[74] + 12*t[75] - (38*t[76])/3 - 
       (5*t[77])/3 + 8*t[78] - 16*t[79] - (34*t[80])/3 + (37*t[81])/6 - 
       (35*t[82])/6 - (88*t[83])/3 - (287*t[84])/24 + (55*t[85])/24 - 
       14*t[86] + (63*t[87])/8 - (65*t[88])/16 + (5*t[89])/48 + 14*t[95] - 
       (22*t[96])/3 - (8*t[97])/3 - 48*t[98] + 28*t[99] + 83*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((19*t[1])/6 - (119*t[2])/4 + (511*t[3])/12 - (21*t[4])/4 + 
       (23*t[5])/8 - (497*t[6])/16 - (455*t[7])/6 + (39*t[8])/4 - 
       (625*t[9])/6 + (273*t[10])/8 - (1373*t[11])/48 + t[12]/4 - 
       (203*t[13])/36 - (2389*t[14])/24 - (7625*t[15])/216 + 2*t[18] + 
       4*t[20] - 2*t[22] - (8*t[23])/3 + 6*t[24] + (4*t[28])/3 + 
       (8*t[29])/3 + (23*t[30])/2 + (37*t[32])/6 - (23*t[33])/6 - 
       (35*t[34])/3 - 4*t[35] + (13*t[37])/3 + 3*t[38] + 5*t[39] - 
       (11*t[40])/3 + 5*t[41] - 4*t[42] + (7*t[43])/6 - (23*t[44])/6 + 
       (34*t[45])/3 - t[46] - 5*t[47] + (1019*t[48])/48 - (53*t[49])/8 - 
       (1633*t[50])/48 + (73*t[51])/16 + (1457*t[52])/48 + (85*t[53])/8 + 
       (193*t[54])/48 - (11*t[59])/6 - (477*t[60])/8 - (683*t[61])/8 - 
       (3847*t[62])/48 - (1697*t[63])/48 + (11731*t[64])/48 + 
       (829*t[65])/72 - (335*t[66])/24 - (8*t[70])/3 + (8*t[71])/3 - 
       8*t[72] - 10*t[73] - 7*t[74] + 6*t[75] - (38*t[76])/3 + (19*t[77])/3 - 
       12*t[78] - 2*t[79] - (10*t[80])/3 - (17*t[81])/6 - (5*t[82])/6 - 
       (49*t[83])/3 - (923*t[84])/24 - (929*t[85])/24 + 56*t[86] + 
       (431*t[87])/8 + (303*t[88])/16 + (1691*t[89])/48 + 14*t[95] + 
       (26*t[96])/3 + (10*t[97])/3 - 48*t[98] + 28*t[99] + 83*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (-2*t[1] - 36*t[2] - (25*t[3])/2 - (45*t[4])/2 - (29*t[5])/2 - 
       (9*t[6])/2 - (151*t[7])/2 - (109*t[8])/2 - (169*t[9])/2 + 
       (177*t[10])/4 - 136*t[11] - (235*t[12])/4 - (2419*t[13])/36 - 
       (1999*t[14])/24 + (35*t[15])/4 + 4*t[19] - 4*t[20] - 4*t[21] + 
       4*t[22] + 4*t[23] - 4*t[27] + 6*t[29] + 18*t[30] + 4*t[31] + 7*t[32] - 
       2*t[33] - 8*t[34] - 4*t[35] - 4*t[36] + 2*t[38] - 16*t[39] + 
       11*t[40] - 7*t[41] + 7*t[42] - 2*t[43] - 5*t[44] + 22*t[45] + t[46] - 
       48*t[47] - 6*t[48] - (31*t[49])/4 + 21*t[50] + (59*t[51])/8 - 
       29*t[52] - t[53]/4 + (45*t[54])/2 - 7*t[59] - (119*t[60])/2 - 
       (299*t[61])/2 + (555*t[62])/4 + (593*t[63])/4 - (131*t[64])/4 + 
       (325*t[65])/6 + (1355*t[66])/6 + 4*t[69] - 24*t[72] - 4*t[73] + 
       4*t[75] - 50*t[76] - 4*t[77] + 34*t[78] - 8*t[79] - 60*t[80] - 
       18*t[81] + 8*t[82] - 44*t[83] + (21*t[84])/2 + (11*t[85])/2 - 
       104*t[86] + (101*t[87])/2 + (101*t[88])/4 + (129*t[89])/4 - 12*t[96] - 
       10*t[97] - 200*t[98] + 184*t[99] + 266*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*(-2*t[1] - (27*t[2])/2 + 
       (67*t[3])/2 - (97*t[4])/2 - 39*t[5] - 29*t[6] - 65*t[7] - 55*t[8] - 
       (191*t[9])/2 + (261*t[10])/4 - 136*t[11] - (57*t[12])/4 - 
       (1519*t[13])/36 - (3103*t[14])/24 - (377*t[15])/12 - 4*t[19] + 
       8*t[20] + 4*t[21] - 4*t[22] - 4*t[23] + 8*t[24] + 4*t[27] + 12*t[28] - 
       2*t[29] + 10*t[30] + 4*t[31] + t[32] + 10*t[33] - 4*t[34] - 8*t[35] + 
       8*t[36] + 8*t[37] + 2*t[38] - 8*t[39] + 11*t[40] + 4*t[41] - 4*t[42] + 
       t[43] + 3*t[44] + 29*t[45] + t[46] - 34*t[47] + (45*t[48])/2 - 
       (145*t[49])/4 - (23*t[50])/2 + (143*t[51])/8 + (7*t[52])/2 + 
       (113*t[53])/4 + 49*t[54] + t[59] - (69*t[60])/2 - (391*t[61])/2 + 
       (151*t[62])/4 - (203*t[63])/4 + (313*t[64])/4 + (445*t[65])/3 + 
       (452*t[66])/3 + 2*t[69] - 8*t[72] - 4*t[73] + 2*t[74] - 20*t[75] - 
       40*t[76] + 4*t[77] + 42*t[78] + 4*t[79] - 52*t[80] - 11*t[81] + 
       9*t[82] + 3*t[83] + 25*t[84] + (23*t[85])/2 - 30*t[86] + 
       (163*t[87])/2 + (163*t[88])/4 + (479*t[89])/4 - 12*t[96] - 10*t[97] - 
       200*t[98] + 184*t[99] + 266*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((-7*t[1])/3 + 5*t[2] + 
       (53*t[3])/6 - 9*t[4] + (547*t[5])/6 + (227*t[6])/6 - (64*t[7])/3 + 
       (314*t[8])/3 - (99*t[9])/2 - (305*t[10])/3 + (337*t[11])/6 - 
       (14*t[12])/3 - (39*t[13])/4 + (71*t[14])/12 + (6937*t[15])/108 + 
       4*t[19] - 8*t[20] - 4*t[21] + 4*t[22] + (16*t[23])/3 - 8*t[24] - 
       4*t[27] - 12*t[28] + 4*t[29] + (58*t[30])/3 - 4*t[31] - (2*t[32])/3 - 
       (40*t[33])/3 - (40*t[34])/3 + 8*t[35] - 8*t[36] - (20*t[37])/3 - 
       3*t[38] - 4*t[39] + (31*t[40])/3 - 2*t[41] + 2*t[42] - t[43]/3 - 
       3*t[44] - (56*t[45])/3 - t[46] + 29*t[47] + 28*t[48] + 7*t[49] + 
       (89*t[50])/3 - (15*t[51])/4 - (82*t[52])/3 - t[53] - (73*t[54])/3 + 
       (71*t[59])/6 - (578*t[60])/3 + (407*t[61])/3 + (1069*t[62])/12 + 
       (741*t[63])/4 - (67*t[64])/6 + (700*t[65])/9 + (449*t[66])/2 - 
       2*t[69] + (16*t[70])/3 - (16*t[71])/3 + 8*t[72] + 4*t[73] - 
       (10*t[74])/3 + 20*t[75] + (4*t[76])/3 - (2*t[77])/3 + 6*t[78] - 
       4*t[79] + (212*t[80])/3 - (65*t[81])/3 - 7*t[82] - 3*t[83] - 
       24*t[84] - (85*t[85])/2 + (98*t[86])/3 + (29*t[87])/2 + 
       (371*t[88])/12 - 81*t[89] + (8*t[95])/3 - (28*t[96])/3 - (5*t[97])/3 + 
       40*t[98] - 40*t[99] - 138*t[100] - 36*t[101])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((2*t[1])/3 + 41*t[2] + 
       (527*t[3])/6 + (19*t[4])/2 + (781*t[5])/6 - (437*t[6])/12 - 
       (557*t[7])/6 + (373*t[8])/6 - 162*t[9] - (905*t[10])/12 + 
       (1631*t[11])/12 + (139*t[12])/12 + (175*t[13])/4 - (1741*t[14])/24 + 
       (35*t[15])/54 - 4*t[19] + 4*t[20] + 4*t[21] - 4*t[22] - (8*t[23])/3 + 
       4*t[27] + 2*t[29] - (56*t[30])/3 - 4*t[31] + (40*t[32])/3 - 
       (16*t[33])/3 - (94*t[34])/3 + 4*t[35] + 4*t[36] + (4*t[37])/3 + 
       10*t[39] + t[40]/3 + 2*t[41] - 2*t[42] + (8*t[43])/3 - 9*t[44] - 
       (5*t[45])/3 - t[46] + 25*t[47] + (89*t[48])/4 + (17*t[49])/4 - 
       (349*t[50])/12 - (37*t[51])/8 + (341*t[52])/12 - (5*t[53])/4 - 
       (841*t[54])/12 + t[59]/3 - (368*t[60])/3 + (182*t[61])/3 - 
       (451*t[62])/6 - (149*t[63])/2 + (1487*t[64])/6 - (341*t[65])/9 - 
       (397*t[66])/3 - 4*t[69] + (16*t[70])/3 - (16*t[71])/3 + 24*t[72] + 
       4*t[73] - (4*t[74])/3 - 4*t[75] + (40*t[76])/3 - (20*t[77])/3 - 
       8*t[78] + 8*t[79] + (140*t[80])/3 - (44*t[81])/3 - 8*t[82] + 
       44*t[83] - 32*t[84] - 37*t[85] + (320*t[86])/3 + 44*t[87] + 
       (137*t[88])/3 - 49*t[89] + (8*t[95])/3 - (4*t[96])/3 + (4*t[97])/3 + 
       40*t[98] - 40*t[99] - 138*t[100] - 36*t[101])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - w]^2*((-13*t[1])/4 + (125*t[2])/12 + (1091*t[3])/24 - 
       (181*t[4])/2 + (527*t[5])/8 - (783*t[6])/16 - (149*t[7])/3 - 
       (679*t[8])/12 - (287*t[9])/4 - (851*t[10])/12 - (1567*t[11])/48 + 
       (691*t[12])/24 - (845*t[13])/216 - (12299*t[14])/144 - 
       (97*t[15])/432 + 4*t[18] + (4*t[20])/3 + 4*t[21] - 4*t[22] - 4*t[23] + 
       (4*t[24])/3 - 8*t[25] + 4*t[26] + (10*t[27])/3 + (53*t[29])/6 + 
       2*t[30] + 12*t[31] - (35*t[32])/6 - (4*t[33])/3 + (101*t[34])/6 + 
       8*t[36] + (25*t[37])/3 - (4*t[38])/3 - (43*t[39])/6 - (16*t[40])/3 + 
       (17*t[41])/12 + (7*t[42])/12 - (31*t[43])/12 - (3*t[44])/4 - 
       (57*t[45])/2 - 2*t[46] + 43*t[47] - (393*t[48])/16 + (20*t[49])/3 + 
       (457*t[50])/48 - (9*t[51])/8 + (383*t[52])/48 - (16*t[53])/3 - 
       (1145*t[54])/48 - (23*t[59])/3 - (3191*t[60])/24 - (6955*t[61])/24 + 
       (2903*t[62])/48 + (4969*t[63])/48 + (3279*t[64])/16 + (699*t[65])/8 + 
       (8677*t[66])/72 - (38*t[70])/3 + (38*t[71])/3 - 14*t[72] - 6*t[73] - 
       13*t[74] + 6*t[75] + (71*t[76])/3 - (17*t[77])/3 - (2*t[78])/3 - 
       16*t[79] + 34*t[80] + (5*t[81])/6 + (26*t[82])/3 + (10*t[83])/3 - 
       (403*t[84])/8 + (577*t[85])/24 + 80*t[86] + (19*t[87])/24 - 
       (367*t[88])/16 - (187*t[89])/16 + 18*t[95] - (7*t[96])/3 - 8*t[97] + 
       140*t[98] - 192*t[99] + 366*t[100] - 6*t[101])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]^2*((79*t[1])/4 - (169*t[2])/12 + (236*t[3])/3 - 
       (83*t[4])/3 + (1015*t[5])/12 - (4825*t[6])/48 + (41*t[7])/6 - 
       (817*t[8])/12 - (1979*t[9])/24 + (187*t[10])/12 - (439*t[11])/48 - 
       (59*t[12])/4 - (1505*t[13])/108 - (20047*t[14])/144 - 
       (9163*t[15])/432 + 4*t[18] - 4*t[19] + 8*t[20] + 8*t[21] - 4*t[22] - 
       5*t[23] + (32*t[24])/3 - 12*t[25] + 4*t[26] + (4*t[27])/3 - 2*t[28] + 
       (28*t[29])/3 + (94*t[30])/3 + 8*t[31] - t[32]/6 - (16*t[33])/3 - 
       (9*t[34])/2 + 4*t[35] - 4*t[36] + (25*t[37])/3 + (47*t[38])/3 - 
       (37*t[39])/6 + (73*t[40])/6 + (11*t[41])/12 - (11*t[42])/12 - 
       (55*t[43])/12 - (43*t[44])/6 - (10*t[45])/3 + 5*t[46] + (37*t[47])/2 - 
       t[48]/16 + (37*t[49])/4 + (3*t[50])/16 + t[51]/3 - (913*t[52])/48 + 
       (181*t[53])/12 - (743*t[54])/16 - (79*t[59])/6 - (5003*t[60])/24 - 
       (4357*t[61])/24 - (2741*t[62])/48 - (1859*t[63])/48 + 
       (12199*t[64])/48 + (1475*t[65])/72 + (9475*t[66])/72 - (44*t[70])/3 + 
       (44*t[71])/3 - (8*t[72])/3 - 8*t[73] - 9*t[74] + 8*t[75] + 
       (119*t[76])/6 + (14*t[77])/3 - (110*t[78])/3 + (79*t[80])/3 - 
       26*t[81] + (173*t[82])/6 + (40*t[83])/3 - (2569*t[84])/24 - 
       (1039*t[85])/24 + 88*t[86] + (1915*t[87])/24 + (233*t[88])/16 + 
       (1151*t[89])/48 + 18*t[95] + (74*t[96])/3 + 5*t[97] + 140*t[98] - 
       192*t[99] + 366*t[100] - 6*t[101])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*(8*t[1] + t[2]/2 + (283*t[3])/4 - 
       (151*t[4])/2 + (177*t[5])/4 - 59*t[6] - (49*t[7])/2 + (27*t[8])/2 - 
       (317*t[9])/4 + 2*t[10] - (115*t[11])/2 - (31*t[12])/4 - 
       (245*t[13])/6 - (873*t[14])/8 - (85*t[15])/9 + 2*t[18] - 6*t[19] + 
       12*t[20] + 10*t[21] - 2*t[22] - 12*t[23] + 10*t[24] - 12*t[25] + 
       7*t[26] + 8*t[27] - 5*t[29] + 8*t[30] + 16*t[31] - 15*t[32] + 
       8*t[33] + 2*t[36] + 6*t[38] - 10*t[39] + 6*t[40] - t[41] + 2*t[42] - 
       (9*t[43])/2 + t[44]/2 + 5*t[45] + 11*t[46] - 13*t[47] - 2*t[48] - 
       (5*t[49])/2 + t[50] - (33*t[51])/8 + 7*t[52] + (27*t[53])/2 - 
       35*t[54] + t[58] - 18*t[59] - (397*t[60])/2 - (479*t[61])/2 + 
       58*t[62] + 32*t[63] + (769*t[64])/4 + 42*t[65] + (213*t[66])/2 + 
       4*t[69] - 16*t[70] + 18*t[71] - 24*t[72] - 8*t[74] + 3*t[76] - 
       20*t[78] + 22*t[80] - 15*t[81] + 36*t[82] - 72*t[84] + 17*t[85] + 
       54*t[86] + 77*t[87] + t[88]/2 - (63*t[89])/4 + 8*t[95] + 8*t[96] - 
       4*t[97] + 24*t[98] + 312*t[100] + 24*t[101])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*(10*t[1] - (35*t[2])/2 + 
       (137*t[3])/4 - 3*t[4] + 27*t[5] - (65*t[6])/2 + (19*t[7])/4 - 
       (271*t[8])/4 - (167*t[9])/4 - (9*t[10])/4 + (45*t[11])/4 + 8*t[12] + 
       (295*t[13])/8 - (176*t[14])/3 - (197*t[15])/18 + 4*t[18] + 4*t[21] + 
       2*t[22] - 4*t[23] + 4*t[24] - 12*t[25] + 3*t[26] + 2*t[27] - t[29] + 
       12*t[30] + 16*t[31] - 17*t[32] + 8*t[33] + 6*t[34] + 2*t[36] + 
       4*t[37] + 12*t[38] - 10*t[39] + 6*t[40] + 3*t[41] - t[42] - 
       (23*t[43])/4 - (3*t[44])/2 - (17*t[45])/2 - t[46] + 27*t[47] - 
       (55*t[48])/4 - t[49] + (17*t[50])/4 + (35*t[51])/4 - (49*t[52])/4 + 
       6*t[53] + (13*t[54])/4 + t[58] - 7*t[59] - 56*t[60] - (183*t[61])/2 - 
       (227*t[62])/4 - (277*t[63])/4 + (477*t[64])/4 + (659*t[65])/6 - 
       (119*t[66])/2 - 16*t[70] + 16*t[71] - 44*t[72] - 8*t[74] - 2*t[76] + 
       4*t[77] + 26*t[78] + 4*t[80] + 6*t[81] - 3*t[82] - (67*t[84])/2 - 
       (17*t[85])/2 + 54*t[86] + (63*t[87])/2 - (81*t[88])/4 + (79*t[89])/2 + 
       8*t[95] + 2*t[96] - 2*t[97] + 24*t[98] + 312*t[100] + 24*t[101])*
      \[Zeta][3] + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-39*t[1])/2 - (283*t[2])/6 + (1147*t[3])/4 + (406*t[4])/3 + 
       (827*t[5])/6 - (1193*t[6])/6 - (785*t[7])/6 - (2695*t[8])/6 - 
       (1907*t[9])/6 + (409*t[10])/6 + (304*t[11])/3 - (199*t[12])/3 + 
       (457*t[13])/12 - (777*t[14])/4 + (755*t[15])/216 - 8*t[18] + 4*t[19] - 
       (26*t[20])/3 - 4*t[21] + 8*t[22] + 4*t[23] - 8*t[24] + 12*t[25] - 
       8*t[26] - (34*t[27])/3 - 4*t[28] - (4*t[29])/3 + (88*t[30])/3 - 
       12*t[31] - 79*t[32] + (58*t[33])/3 - (71*t[34])/3 + 8*t[35] - 
       4*t[36] - (22*t[37])/3 - (23*t[38])/3 - (22*t[39])/3 + (173*t[40])/6 - 
       (13*t[41])/6 + t[42]/6 + (71*t[43])/6 + (22*t[44])/3 - (10*t[45])/3 - 
       9*t[46] - 17*t[47] - (141*t[48])/2 + (73*t[49])/6 + (17*t[50])/6 - 
       (113*t[51])/12 - (163*t[52])/6 - (63*t[53])/2 - (1195*t[54])/6 + 
       (79*t[59])/6 - (2299*t[60])/6 - (109*t[61])/3 + (363*t[62])/2 + 
       (2911*t[63])/6 + (313*t[64])/12 - (1217*t[65])/9 + (3617*t[66])/18 + 
       4*t[69] + (8*t[70])/3 - (8*t[71])/3 + (58*t[72])/3 - 10*t[73] - 
       8*t[74] + 10*t[75] - 41*t[76] - 16*t[77] - (49*t[78])/3 - 8*t[79] - 
       (140*t[80])/3 - (50*t[81])/3 + 5*t[82] + (98*t[83])/3 - 
       (302*t[84])/3 - (203*t[85])/2 - 104*t[86] + (257*t[87])/6 - 
       (97*t[88])/4 - (1825*t[89])/12 + 36*t[95] + (52*t[96])/3 - 5*t[97] - 
       200*t[98] + 192*t[99] + 24*t[100] + 36*t[101])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*((4*t[4])/3 + (14*t[5])/3 - (4*t[6])/3 - 2*t[9] - 
       (2*t[10])/3 + (4*t[11])/3 - (4*t[12])/3 - (4*t[13])/9 - (13*t[14])/9 + 
       (25*t[15])/9 + (8*t[24])/3 + (8*t[33])/3 + (4*t[48])/3 + (2*t[49])/3 + 
       (4*t[50])/3 - t[51]/3 - (4*t[52])/3 - (2*t[53])/3 - (8*t[54])/3 - 
       (4*t[60])/3 - (4*t[61])/3 + (2*t[62])/3 - (2*t[63])/3 - (2*t[64])/3 + 
       (16*t[65])/9 + (32*t[66])/9 - (8*t[82])/3 - (4*t[85])/3 + 
       (4*t[87])/3 + (2*t[88])/3 + (2*t[89])/3)*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*(-t[1] + (103*t[2])/2 - (455*t[3])/4 + 
       (29*t[4])/2 - (135*t[5])/4 + (27*t[6])/2 + (141*t[7])/2 + 
       (147*t[8])/2 + (65*t[9])/4 - (17*t[10])/4 + (81*t[11])/2 - 
       (23*t[12])/2 - (133*t[13])/12 + (757*t[14])/8 + (141*t[15])/4 - 
       t[17] + 40*t[20] + 4*t[23] + 4*t[24] - 4*t[27] - 48*t[28] - 19*t[29] + 
       2*t[30] + t[32] - 18*t[33] + 22*t[34] + 16*t[35] - 4*t[36] - 2*t[37] - 
       4*t[39] + 8*t[40] + 2*t[41] - 2*t[42] - t[43] + (7*t[44])/2 + 
       4*t[45] - 10*t[47] - 9*t[48] + (29*t[49])/4 + 31*t[50] - 
       (29*t[51])/8 - 33*t[52] - (29*t[53])/4 + 8*t[54] + 2*t[55] - 8*t[59] + 
       (59*t[60])/2 + 192*t[61] - (177*t[62])/2 + 75*t[63] - (127*t[64])/2 - 
       (83*t[65])/6 - (205*t[66])/6 + 2*t[67] + 4*t[68] + 4*t[70] - 4*t[71] + 
       56*t[72] + 8*t[73] + 10*t[74] - 112*t[75] - 8*t[76] + 2*t[77] + 
       12*t[78] + 8*t[79] - 4*t[80] + 5*t[81] + t[82] + 156*t[83] + 
       (69*t[84])/2 - 11*t[85] + 52*t[86] + 6*t[87] + 27*t[88] - 
       (87*t[89])/4 + 2*t[90] + 4*t[93] - 4*t[95] - 4*t[96] - 2*t[97] - 
       48*t[98] + 72*t[99] - 152*t[100])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*((25*t[2])/2 + 2*t[3] - (7*t[4])/2 - 
       (23*t[5])/4 - 7*t[7] + t[8] + (37*t[9])/4 + (47*t[10])/4 - 16*t[11] - 
       3*t[12] - (77*t[13])/6 - (37*t[14])/24 + (97*t[15])/24 - 2*t[24] - 
       2*t[32] - 8*t[33] - 2*t[37] - t[41] + t[42] - t[43] - 2*t[44] - 
       2*t[47] - (3*t[49])/4 - 4*t[50] + (3*t[51])/8 + 4*t[52] + 
       (3*t[53])/4 + (15*t[54])/2 - 2*t[59] - (23*t[60])/2 - (45*t[61])/2 - 
       (17*t[62])/4 - (39*t[63])/4 + (45*t[64])/4 - 16*t[65] + 
       (100*t[66])/3 + 10*t[74] + 2*t[77] + 2*t[78] - 5*t[81] + 7*t[82] - 
       2*t[84] + t[85]/2 - 4*t[86] + (3*t[87])/2 + (3*t[88])/4 - t[89]/4 + 
       4*t[95] + 24*t[99] + 48*t[100])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{0, 1}, 1 - v]*((21*t[2])/2 + 4*t[3] - (37*t[4])/6 - (13*t[5])/12 + 
       (2*t[6])/3 - 11*t[7] + 19*t[8] - (19*t[9])/4 + (157*t[10])/12 - 
       (62*t[11])/3 - (13*t[12])/3 - (239*t[13])/18 - (191*t[14])/72 + 
       (779*t[15])/72 + (26*t[24])/3 - 2*t[32] + (8*t[33])/3 - 2*t[37] - 
       t[41] + t[42] - t[43] - 2*t[44] - 2*t[47] + (4*t[48])/3 - t[49]/12 - 
       (20*t[50])/3 - (23*t[51])/24 + (20*t[52])/3 + t[53]/12 + 
       (77*t[54])/6 - 2*t[59] - (53*t[60])/6 - (167*t[61])/6 - 
       (67*t[62])/12 - (101*t[63])/12 + (103*t[64])/12 - (80*t[65])/9 + 
       (332*t[66])/9 + 10*t[74] + 2*t[77] + 2*t[78] - 5*t[81] + t[82]/3 - 
       2*t[84] + (19*t[85])/6 - 4*t[86] - (7*t[87])/6 - (7*t[88])/12 + 
       (29*t[89])/12 + 4*t[95] + 24*t[99] + 48*t[100])*\[Zeta][2]*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*((21*t[2])/2 + 4*t[3] - 
       (15*t[4])/2 - (31*t[5])/4 + 2*t[6] - 11*t[7] + 19*t[8] - (11*t[9])/4 + 
       (55*t[10])/4 - 22*t[11] - 3*t[12] - (77*t[13])/6 - (29*t[14])/24 + 
       (113*t[15])/24 + 2*t[24] - 2*t[32] - 4*t[33] - 2*t[37] - t[41] + 
       t[42] - t[43] - 2*t[44] - 2*t[47] - (3*t[49])/4 - 8*t[50] - 
       (5*t[51])/8 + 8*t[52] + (3*t[53])/4 + (31*t[54])/2 - 2*t[59] - 
       (15*t[60])/2 - (61*t[61])/2 - (25*t[62])/4 - (31*t[63])/4 + 
       (29*t[64])/4 - (16*t[65])/3 + (116*t[66])/3 + 10*t[74] + 2*t[77] + 
       2*t[78] - 5*t[81] + 7*t[82] - 2*t[84] + (9*t[85])/2 - 4*t[86] - 
       (5*t[87])/2 - (5*t[88])/4 + (15*t[89])/4 + 4*t[95] + 24*t[99] + 
       48*t[100])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - u]^2*
      (-t[1]/2 + (29*t[2])/4 + (259*t[3])/8 - (89*t[4])/12 + (103*t[5])/24 - 
       (103*t[6])/12 - (105*t[7])/4 - (75*t[8])/4 + (65*t[9])/8 + 
       (329*t[10])/24 - (545*t[11])/12 - (55*t[12])/12 - (509*t[13])/72 - 
       (4123*t[14])/144 - (347*t[15])/36 + t[17]/2 - 20*t[20] + 
       (20*t[24])/3 + 2*t[27] + 24*t[28] + (19*t[29])/2 - t[30] - 
       (11*t[32])/2 + (5*t[33])/3 + t[34] - 8*t[35] + 2*t[36] - t[37] + 
       2*t[39] - 2*t[41] + 2*t[42] - t[43]/2 - (19*t[44])/4 - 2*t[45] + 
       3*t[47] + (10*t[48])/3 - (113*t[49])/24 - (38*t[50])/3 + 
       (41*t[51])/48 + (29*t[52])/3 + (113*t[53])/24 + (28*t[54])/3 - 
       (7*t[59])/2 + (47*t[60])/12 - (731*t[61])/6 + (611*t[62])/12 - 
       (229*t[63])/6 - (131*t[64])/12 - (455*t[65])/36 + (2099*t[66])/36 - 
       t[68] - 2*t[70] + 2*t[71] - 28*t[72] - 4*t[73] + 7*t[74] + 56*t[75] + 
       4*t[76] + t[77] - 4*t[78] - 4*t[79] + 2*t[80] - (13*t[81])/2 + 
       (5*t[82])/6 - 78*t[83] - (17*t[84])/4 + (79*t[85])/6 - 30*t[86] - 
       (59*t[87])/3 - (89*t[88])/6 + (481*t[89])/24 - 2*t[93] + 6*t[95] + 
       2*t[96] - t[97] + 24*t[98] - 12*t[99] + 124*t[100])*\[Zeta][2]*
      \[Zeta][3] + HPL[{1}, 1 - w]^2*(-t[1]/2 - (37*t[2])/4 + (499*t[3])/8 - 
       (89*t[4])/12 + (145*t[5])/24 - (10*t[6])/3 - (197*t[7])/4 - 
       (277*t[8])/4 + (199*t[9])/8 + (101*t[10])/24 - (152*t[11])/3 + 
       (11*t[12])/3 - (317*t[13])/72 - (6703*t[14])/144 - (1039*t[15])/72 + 
       t[17]/2 - 20*t[20] + (8*t[24])/3 + 4*t[27] + 24*t[28] + (19*t[29])/2 - 
       t[30] - (27*t[32])/2 + (29*t[33])/3 - 9*t[34] - 8*t[35] + 2*t[36] - 
       t[37] + 2*t[39] - 3*t[41] + 3*t[42] - t[43]/2 - (11*t[44])/4 - 
       2*t[45] + t[46] + 3*t[47] + (139*t[48])/12 - (209*t[49])/24 - 
       (293*t[50])/12 + (245*t[51])/48 + (257*t[52])/12 + (209*t[53])/24 + 
       (133*t[54])/12 - t[55] - t[59]/2 + (203*t[60])/12 - (484*t[61])/3 + 
       (737*t[62])/12 - (209*t[63])/3 + (55*t[64])/3 - (671*t[65])/36 + 
       (1667*t[66])/36 - t[67] - 2*t[68] - 2*t[70] + 2*t[71] - 28*t[72] - 
       4*t[73] + 5*t[74] + 56*t[75] + 4*t[76] - t[77] - 4*t[78] - 4*t[79] + 
       2*t[80] - (17*t[81])/2 - (43*t[82])/6 - 78*t[83] - (29*t[84])/4 + 
       (157*t[85])/6 - 30*t[86] - (92*t[87])/3 - (61*t[88])/3 + 
       (571*t[89])/24 - t[90] - 2*t[93] + 6*t[95] + 2*t[96] - t[97] + 
       24*t[98] - 12*t[99] + 124*t[100])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]*(-2*t[1] + 24*t[2] - 10*t[3] + (19*t[4])/3 - 
       (233*t[5])/6 + (7*t[6])/6 + 30*t[7] - 18*t[8] + (91*t[9])/2 - 
       (13*t[10])/6 + (29*t[11])/6 - (25*t[12])/3 + (2*t[13])/3 + 
       (221*t[14])/36 + (865*t[15])/36 + 2*t[17] + (56*t[24])/3 - 4*t[27] + 
       4*t[32] + (8*t[33])/3 - 16*t[34] - 8*t[37] - 2*t[38] - 20*t[39] + 
       12*t[40] + 6*t[41] - 6*t[42] - 4*t[44] - 6*t[45] + 54*t[47] - 
       (157*t[48])/6 + (37*t[49])/6 + (179*t[50])/6 - (73*t[51])/12 - 
       (59*t[52])/6 + (59*t[53])/6 + (107*t[54])/6 - 2*t[55] + 4*t[59] - 
       (25*t[60])/3 + (86*t[61])/3 - (89*t[62])/6 + (197*t[63])/6 + 
       (46*t[64])/3 - (362*t[65])/9 + (212*t[66])/9 + 2*t[67] + 2*t[68] + 
       24*t[74] + 8*t[76] + 24*t[77] - 4*t[78] + 32*t[80] - 10*t[81] - 
       (122*t[82])/3 - 2*t[84] + (23*t[85])/3 - (23*t[87])/3 - (23*t[88])/6 + 
       (2*t[89])/3 - 2*t[90] + 4*t[92] - 4*t[94] + 8*t[95] + 48*t[98] + 
       72*t[100] - 24*t[101])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{0, 1}, 1 - w]*(-2*t[1] - 9*t[2] + 58*t[3] - (71*t[4])/3 + 
       (215*t[5])/3 + (119*t[6])/3 - 36*t[7] - 53*t[8] - 36*t[9] + 
       (263*t[10])/6 - (209*t[11])/3 - (95*t[12])/6 - (598*t[13])/9 - 
       (1399*t[14])/36 + (875*t[15])/18 - 2*t[17] + (8*t[24])/3 - 20*t[32] + 
       (8*t[33])/3 - 4*t[34] - 2*t[38] - 12*t[39] + 12*t[40] - 12*t[41] + 
       12*t[42] - 4*t[43] + 2*t[45] - 2*t[46] - 58*t[47] - (29*t[48])/3 - 
       (53*t[49])/6 + (43*t[50])/3 + (107*t[51])/12 + (17*t[52])/3 + 
       (149*t[53])/6 + (10*t[54])/3 - 2*t[59] - (481*t[60])/3 - 
       (145*t[61])/3 - (41*t[62])/6 - (199*t[63])/6 + (161*t[64])/6 + 
       (58*t[65])/9 + (2204*t[66])/9 - 4*t[67] - 4*t[68] + 12*t[74] + 
       16*t[76] - 12*t[77] - 116*t[78] - 50*t[81] + (106*t[82])/3 - 
       12*t[84] + (107*t[85])/3 - 16*t[86] + (145*t[87])/3 + (145*t[88])/6 - 
       (101*t[89])/6 - 4*t[92] + 4*t[94] + 8*t[95] + 48*t[98] + 72*t[100] - 
       24*t[101])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - u]*
      ((-45*t[2])/2 + 36*t[3] - (45*t[4])/2 + 28*t[5] - (127*t[6])/4 - 
       5*t[7] - 88*t[8] - (39*t[9])/2 - (267*t[10])/4 + (11*t[11])/4 - 
       (79*t[12])/4 - (319*t[13])/9 - (317*t[14])/8 - (7*t[15])/6 + t[17] + 
       2*t[27] - 4*t[32] + 12*t[33] - 20*t[34] - 4*t[37] - 2*t[39] + 
       2*t[41] - 2*t[42] + 2*t[43] + 4*t[44] + 32*t[45] + 2*t[46] - 
       48*t[47] - (15*t[48])/4 + (55*t[49])/4 + (33*t[50])/4 - (67*t[51])/8 - 
       (33*t[52])/4 - (55*t[53])/4 - (143*t[54])/4 - 2*t[55] + 4*t[59] - 
       (65*t[60])/2 - 60*t[61] + (231*t[62])/4 + (261*t[63])/4 + 44*t[64] - 
       (202*t[65])/3 + (76*t[66])/3 + 32*t[76] + 4*t[77] - 48*t[78] + 
       16*t[80] + 5*t[81] - 17*t[82] - 26*t[84] + (29*t[85])/2 + 8*t[86] + 
       (27*t[87])/2 + (27*t[88])/4 - 74*t[89] - 2*t[90] + 2*t[92] - 2*t[94])*
      \[Zeta][3]^2 + HPL[{1}, 1 - w]*((45*t[2])/2 - 36*t[3] + (45*t[4])/2 - 
       28*t[5] + (127*t[6])/4 + 5*t[7] + 88*t[8] + (39*t[9])/2 + 
       (267*t[10])/4 - (11*t[11])/4 + (79*t[12])/4 + (319*t[13])/9 + 
       (317*t[14])/8 + (7*t[15])/6 - t[17] - 2*t[27] + 4*t[32] - 12*t[33] + 
       20*t[34] + 4*t[37] + 2*t[39] - 2*t[41] + 2*t[42] - 2*t[43] - 4*t[44] - 
       32*t[45] - 2*t[46] + 48*t[47] + (15*t[48])/4 - (55*t[49])/4 - 
       (33*t[50])/4 + (67*t[51])/8 + (33*t[52])/4 + (55*t[53])/4 + 
       (143*t[54])/4 + 2*t[55] - 4*t[59] + (65*t[60])/2 + 60*t[61] - 
       (231*t[62])/4 - (261*t[63])/4 - 44*t[64] + (202*t[65])/3 - 
       (76*t[66])/3 - 32*t[76] - 4*t[77] + 48*t[78] - 16*t[80] - 5*t[81] + 
       17*t[82] + 26*t[84] - (29*t[85])/2 - 8*t[86] - (27*t[87])/2 - 
       (27*t[88])/4 + 74*t[89] + 2*t[90] - 2*t[92] + 2*t[94])*\[Zeta][3]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*(-t[1]/2 - (431*t[2])/4 + (945*t[3])/8 + 
       (13*t[4])/4 + (165*t[5])/8 + (241*t[6])/4 - (567*t[7])/4 + 
       (339*t[8])/4 - (263*t[9])/8 - (201*t[10])/8 - (217*t[11])/4 + 
       (25*t[12])/4 + (153*t[13])/8 - (4949*t[14])/48 - (2159*t[15])/72 + 
       t[17]/2 - 16*t[20] + 2*t[23] - 2*t[24] + 2*t[27] + 124*t[28] + 
       (89*t[29])/2 - 47*t[30] + 16*t[31] + (5*t[32])/2 + 63*t[33] - 
       7*t[34] - t[37] + 2*t[40] + t[41] - t[42] - t[43]/2 - (181*t[44])/4 + 
       2*t[45] + t[46] - 3*t[47] + 72*t[48] - (43*t[49])/8 - 88*t[50] + 
       (31*t[51])/16 + 87*t[52] + (43*t[53])/8 + (123*t[54])/2 - t[55] + 
       35*t[59] + (251*t[60])/4 - 170*t[61] + (205*t[62])/4 - (605*t[63])/2 + 
       (91*t[64])/4 + (363*t[65])/4 - (195*t[66])/4 - t[67] - 2*t[68] + 
       16*t[69] + 2*t[70] + 6*t[71] - 8*t[72] + 120*t[73] - 3*t[74] + 
       80*t[75] - 4*t[76] + t[77] + 6*t[78] - 4*t[79] - 2*t[80] - 
       (3*t[81])/2 + t[82]/2 - 318*t[83] + (161*t[84])/4 + (85*t[85])/2 - 
       14*t[86] - 95*t[87] - (95*t[88])/2 + (829*t[89])/8 - t[90] - 2*t[93] - 
       2*t[95] - 2*t[96] - t[97] - 24*t[98] + 36*t[99] - 44*t[100])*
      \[Zeta][5] + HPL[{1}, 1 - u]^2*(-t[1]/4 + (57*t[2])/8 - (77*t[3])/16 + 
       (11*t[4])/8 + (103*t[5])/16 - (239*t[6])/8 + (207*t[7])/8 - 
       (323*t[8])/8 - (561*t[9])/16 + (93*t[10])/16 + (195*t[11])/8 - 
       (41*t[12])/8 - (331*t[13])/48 - (731*t[14])/96 + (2687*t[15])/144 - 
       t[17]/4 + 8*t[20] + t[24] - t[27] - 62*t[28] - (89*t[29])/4 + 
       (47*t[30])/2 - 8*t[31] - (11*t[32])/4 - (3*t[33])/2 + t[34]/2 + 
       t[37]/2 + t[40] - t[41]/2 + t[42]/2 + t[43]/4 + (181*t[44])/8 - 
       t[45] - t[46]/2 + (3*t[47])/2 - (125*t[48])/4 + (27*t[49])/16 + 
       (95*t[50])/4 - (15*t[51])/32 - (101*t[52])/4 - (27*t[53])/16 - 
       (59*t[54])/2 - (19*t[59])/4 - (809*t[60])/8 + (107*t[61])/2 - 
       (31*t[62])/2 + (905*t[63])/8 + (59*t[64])/2 + (53*t[65])/8 + 
       (845*t[66])/24 + t[68]/2 - 8*t[69] - t[70] + t[71] + 4*t[72] - 
       60*t[73] + t[74]/2 - 40*t[75] + 2*t[76] - t[77]/2 - 3*t[78] + 
       2*t[79] + t[80] + t[81]/4 + t[82]/4 + 159*t[83] - (157*t[84])/8 - 
       (43*t[85])/2 + 7*t[86] + (309*t[87])/4 + (241*t[88])/8 - 
       (387*t[89])/16 + t[93] + t[95] + t[96] - t[97]/2 + 12*t[98] - 
       18*t[99] + 22*t[100])*\[Zeta][5] + HPL[{1}, 1 - w]^2*
      (-t[1]/4 + (511*t[2])/8 - (989*t[3])/16 + (27*t[4])/8 - (375*t[5])/16 - 
       (123*t[6])/2 + (875*t[7])/8 - (497*t[8])/8 + (561*t[9])/16 + 
       (153*t[10])/16 + 60*t[11] - (29*t[12])/4 - (539*t[13])/48 + 
       (1339*t[14])/32 + (233*t[15])/9 - t[17]/4 + 8*t[20] + t[24] - 
       2*t[27] - 62*t[28] - (89*t[29])/4 + (47*t[30])/2 - 8*t[31] + 
       (81*t[32])/4 - (65*t[33])/2 + (9*t[34])/2 + t[37]/2 + t[40] - t[41] + 
       t[42] + t[43]/4 + (181*t[44])/8 - t[45] - t[46] + (3*t[47])/2 - 
       (547*t[48])/8 + (59*t[49])/16 + (525*t[50])/8 - (35*t[51])/32 - 
       (537*t[52])/8 - (59*t[53])/16 - (515*t[54])/8 + t[55]/2 - 
       (91*t[59])/4 - (877*t[60])/8 + (503*t[61])/4 - (185*t[62])/4 + 
       (1747*t[63])/8 - (141*t[64])/8 - (409*t[65])/24 + (15*t[66])/8 + 
       t[67]/2 + t[68] - 8*t[69] - t[70] - 3*t[71] + 4*t[72] - 60*t[73] + 
       (3*t[74])/2 - 40*t[75] + 2*t[76] - (3*t[77])/2 - 3*t[78] + 2*t[79] + 
       t[80] + (5*t[81])/4 + t[82]/4 + 159*t[83] - (161*t[84])/8 - 22*t[85] + 
       7*t[86] + (307*t[87])/4 + (239*t[88])/8 - (929*t[89])/16 + t[90]/2 + 
       t[93] + t[95] + t[96] - t[97]/2 + 12*t[98] - 18*t[99] + 22*t[100])*
      \[Zeta][5] + HPL[{0, 1}, 1 - w]*(7*t[1] + 107*t[2] - 155*t[3] + 
       106*t[4] - (857*t[5])/4 - (125*t[6])/2 + 198*t[7] + (57*t[8])/2 + 
       (1537*t[9])/4 + 56*t[10] + (307*t[11])/2 + (395*t[12])/4 + 
       (2075*t[13])/18 + (773*t[14])/4 - (327*t[15])/8 + t[17] + 8*t[23] + 
       54*t[32] - 60*t[33] - 8*t[34] + 7*t[38] + 60*t[39] - 48*t[40] + 
       18*t[41] - 18*t[42] + 59*t[45] + t[46] + 41*t[47] + (7*t[48])/2 - 
       (15*t[49])/2 + (3*t[50])/2 + (5*t[51])/2 - (19*t[52])/2 - 
       (17*t[53])/2 + (27*t[54])/2 + t[59] + 380*t[60] + 221*t[61] - 
       (451*t[62])/2 - (409*t[63])/2 - (493*t[64])/2 + (271*t[65])/3 - 
       (1346*t[66])/3 + 2*t[67] + 2*t[68] + 4*t[74] + 124*t[76] + 38*t[77] + 
       76*t[78] + 8*t[80] + 120*t[81] - 122*t[82] + 120*t[84] - 54*t[85] - 
       222*t[87] - 111*t[88] + (237*t[89])/2 + 2*t[92] - 2*t[94] + 24*t[98] - 
       24*t[99] - 12*t[100] - 12*t[101])*\[Zeta][5] + 
     HPL[{0, 1}, 1 - u]*(-9*t[1] - (57*t[2])/2 + 75*t[3] - 117*t[4] + 
       89*t[5] + (27*t[6])/4 - 81*t[7] + 83*t[8] - (187*t[9])/2 - 73*t[10] - 
       (839*t[11])/4 - 41*t[12] - (1957*t[13])/18 - (393*t[14])/4 + 
       (169*t[15])/12 - t[17] + 8*t[23] + 2*t[27] - 4*t[32] - 2*t[33] + 
       16*t[34] + 7*t[38] + 64*t[39] - 48*t[40] - 19*t[41] + 19*t[42] - 
       61*t[45] - 39*t[47] + (327*t[48])/4 + 5*t[49] - (297*t[50])/4 - 
       3*t[51] + (265*t[52])/4 - 21*t[53] + (121*t[54])/4 + t[55] - 
       19*t[59] - 144*t[60] - (777*t[61])/2 + (303*t[62])/2 + (171*t[63])/2 + 
       (401*t[64])/4 - (35*t[65])/3 + (622*t[66])/3 - t[67] - t[68] - 
       8*t[71] - 2*t[74] + 4*t[76] - 36*t[77] - 4*t[78] + 8*t[80] + 
       120*t[82] - t[84] + 2*t[87] + t[88] - (345*t[89])/4 + t[90] - 
       2*t[92] + 2*t[94] + 24*t[98] - 24*t[99] - 12*t[100] - 12*t[101])*
      \[Zeta][5]
 
TuvwCoproductEntriet[v] = B1[w, v, u]*HPL[{1}, 1 - w]*t[6] - 
     B1[u, w, v]*HPL[{1}, 1 - w]*t[9] + B4[u, v, w]*HPL[{1}, 1 - w]*t[10] - 
     B1[v, u, w]*HPL[{1}, 1 - w]*t[12] + HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - u]*
      (20*t[1] + 80*t[6] - 20*t[13]) + B11[u, v, w]*HPL[{1}, 1 - w]*
      (-t[1] - 2*t[6] - t[13]/6) + B1[v, w, u]*HPL[{1}, 1 - w]*t[13] - 
     (2*B2[v, w, u]*HPL[{1}, 1 - w]*t[14])/3 + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*((7*t[1])/4 + (3*t[6])/4 - (19*t[13])/24 - 
       (7*t[59])/4) + HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - u]*
      ((5*t[1])/12 + t[13]/36 - (5*t[59])/12) + HPL[{1}, 1 - v]^4*
      HPL[{0, 0, 1}, 1 - u]*(t[1]/24 - t[59]/24) - 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]*t[59])/120 - 
     (HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - u]*t[59])/120 - 
     (HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - w]*t[59])/120 - 
     (HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - w]*t[59])/24 - 
     (5*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - w]*t[59])/12 + 
     8*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*t[59] - 
     20*HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - w]*t[59] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*(4*t[1] + 28*t[6] - 
       (14*t[13])/3 - 6*t[42] + 2*t[59]) + B2[v, u, w]*HPL[{1}, 1 - w]*
      t[60] - B1[w, u, v]*HPL[{1}, 1 - w]*t[61] + B4[v, w, u]*HPL[{1}, 1 - w]*
      (-t[7] + t[10] + t[63]) + B2[w, v, u]*HPL[{1}, 1 - w]*
      (t[4] - t[12] - (2*t[65])/3) + (B2[w, u, v]*HPL[{1}, 1 - w]*t[65])/3 + 
     (2*B3[u, v, w]*HPL[{1}, 1 - w]*t[65])/3 - 
     (16*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*t[65])/
      3 + 10*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*t[65] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*(8*t[1] - (8*t[2])/3 + 
       (8*t[4])/3 - (8*t[5])/3 + (76*t[6])/3 - (8*t[7])/3 + (8*t[8])/3 - 
       (8*t[10])/3 + (8*t[12])/3 - 8*t[13] - (16*t[14])/9 - (8*t[15])/9 + 
       (16*t[42])/3 - (8*t[43])/3 + (16*t[62])/3 - (16*t[63])/3 + 
       (16*t[64])/3 + (32*t[65])/9) + HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*((65*t[13])/3 + 15*t[42] - 60*t[66]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*(t[1] + 10*t[13] - 
       16*t[59] - 10*t[66]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (-6*t[1] - (2*t[13])/3 - 2*t[59] - (8*t[66])/3) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - w]*((-4*t[1])/3 + (25*t[13])/18 + 
       t[59]/12 - (25*t[66])/18) + B11[w, u, v]*HPL[{1}, 1 - w]*
      (-t[1] - t[4] + t[10] + t[12] + t[14] - t[15]/3 + t[49] - t[53] - 
       t[62] + t[63] - t[65] - (4*t[66])/3) + B2[u, v, w]*HPL[{1}, 1 - w]*
      ((2*t[13])/3 - t[66]) + B3[v, w, u]*HPL[{1}, 1 - w]*
      (-t[1] + (2*t[13])/3 - (2*t[66])/3) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((2*t[13])/9 + t[59]/3 - (2*t[66])/9) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*
      (t[4]/8 + (17*t[13])/144 - t[14]/12 + t[60]/8 + t[61]/8 - t[65]/24 - 
       t[66]/9) + HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - w]*
      (-t[13]/36 + t[66]/18) + B3[w, u, v]*HPL[{1}, 1 - w]*
      (-t[13]/3 + (2*t[66])/3) + B2[u, w, v]*HPL[{1}, 1 - w]*
      (t[6] - t[13]/6 + t[66]) + HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - w]*
      (2*t[1] - (19*t[13])/3 - 2*t[59] + (8*t[66])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (-12*t[6] - 4*t[13] - 4*t[42] + (16*t[66])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*(12*t[6] + 8*t[66]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*(-5*t[13] + 10*t[66]) + 
     HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u]*((-7*t[1])/2 - (29*t[2])/2 - 30*t[3] - 
       (147*t[4])/4 + (19*t[5])/4 + (151*t[6])/8 - (29*t[7])/4 + 
       (181*t[8])/4 + (59*t[9])/2 + (283*t[10])/8 - (3*t[11])/8 + 
       (57*t[12])/8 + (14*t[13])/3 + (513*t[14])/16 + (63*t[15])/8 + 
       3*t[17] - 9*t[18] + 4*t[19] - 2*t[21] + t[23] - 5*t[24] + 6*t[31] + 
       (13*t[41])/2 - (13*t[42])/2 + (37*t[43])/4 + (3*t[45])/2 + 
       (3*t[46])/2 - 10*t[47] - (33*t[48])/8 - (33*t[49])/8 - (33*t[50])/8 + 
       (15*t[51])/16 + (33*t[52])/8 + (33*t[53])/8 + (35*t[54])/8 - 4*t[61] + 
       8*t[64] + (16*t[65])/3 + 4*t[77]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*((-3*t[1])/2 - 16*t[2] - (21*t[3])/4 - 
       (161*t[4])/4 + 11*t[5] + (207*t[6])/8 - 35*t[7] - (13*t[8])/2 - 
       (23*t[9])/4 - (403*t[10])/8 - (7*t[11])/8 - (71*t[12])/8 + 
       (26*t[13])/3 + (19*t[14])/16 - (181*t[15])/24 + 4*t[17] - 9*t[18] + 
       13*t[19] - t[21] + 11*t[23] - 5*t[24] + 25*t[31] + (15*t[41])/2 - 
       (15*t[42])/2 + (21*t[43])/2 + 17*t[45] + 2*t[46] - 32*t[47] - 
       (151*t[48])/8 - (73*t[49])/8 - (151*t[50])/8 + (49*t[51])/16 + 
       (151*t[52])/8 + (73*t[53])/8 + (69*t[54])/8 - 8*t[61] + 24*t[64] + 
       (32*t[65])/3 + 4*t[77]) + HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u]*
      ((-37*t[1])/2 - 42*t[2] - (349*t[3])/4 - (269*t[4])/2 + (145*t[5])/4 + 
       (211*t[6])/4 - (85*t[7])/2 + 132*t[8] + 54*t[9] + (437*t[10])/4 - 
       (45*t[11])/4 + (75*t[12])/4 + (39*t[13])/4 + (1021*t[14])/12 + 
       (737*t[15])/24 + 11*t[17] - (51*t[18])/2 + 12*t[19] - 3*t[21] + 
       (9*t[23])/2 - 14*t[24] + 21*t[31] + 26*t[41] - 26*t[42] + 31*t[43] + 
       36*t[45] + (11*t[46])/2 - 82*t[47] - 16*t[48] - (53*t[49])/4 - 
       16*t[50] + (5*t[51])/2 + 16*t[52] + (53*t[53])/4 + 12*t[54] - 
       12*t[61] + 24*t[64] + 16*t[65] + 12*t[77]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u]*(-35*t[1] - 93*t[2] - 182*t[3] - 
       313*t[4] + 108*t[5] + 124*t[6] - (269*t[7])/2 + (485*t[8])/2 + 
       (119*t[9])/2 + (415*t[10])/2 - 31*t[11] + 15*t[12] + (28*t[13])/3 + 
       (321*t[14])/2 + (931*t[15])/12 + 32*t[17] - 52*t[18] + 24*t[19] - 
       8*t[21] + 8*t[23] - 40*t[24] + 40*t[31] + 51*t[41] - 51*t[42] + 
       (145*t[43])/2 + 111*t[45] + 16*t[46] - 224*t[47] - 31*t[48] - 
       33*t[49] - 31*t[50] + (9*t[51])/2 + 31*t[52] + 33*t[53] + 29*t[54] - 
       24*t[61] + 48*t[64] + 32*t[65] + 24*t[77]) + 
     B9[v, w, u]*HPL[{1}, 1 - w]*(-6*t[4] + (3*t[7])/2 + (3*t[8])/2 - 
       6*t[10] - t[12] - t[13] - t[14]/4 - t[15]/3 - t[46] + t[49] + 
       t[51]/4 - t[53] - (5*t[62])/2 - 9*t[63] + (3*t[64])/2 - t[66]/3 - 
       2*t[74] + t[79] + 3*t[86]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*(-8*t[1] + 40*t[4] + 14*t[7] + 14*t[8] - 
       16*t[10] - 24*t[11] - 2*t[12] - 8*t[13] + (14*t[14])/3 - 
       (10*t[15])/3 + 16*t[37] - 12*t[46] + 10*t[49] + 4*t[51] - 10*t[53] + 
       16*t[62] + 44*t[63] + 14*t[64] - 16*t[65] + (32*t[66])/3 + 4*t[67] - 
       24*t[74] - 12*t[79] + 28*t[86]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*((16*t[13])/9 - 8*t[59] + (8*t[62])/3 - 
       (8*t[63])/3 + (8*t[64])/3 + (16*t[65])/9 - (32*t[66])/9 - 
       (40*t[88])/3) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-7*t[59])/4 + (3*t[88])/4) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*(-4*t[59] + 12*t[88]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w]*(134*t[1] - 42*t[3] + 176*t[4] - 
       15*t[5] + 51*t[6] + 42*t[7] + 126*t[8] + 105*t[9] - 267*t[10] + 
       229*t[11] - 229*t[12] + (323*t[13])/3 + (617*t[14])/12 - 
       (205*t[15])/6 - 16*t[16] + 40*t[25] - 150*t[26] - 32*t[36] + 
       37*t[37] + 110*t[38] - 16*t[46] + 3*t[48] - 72*t[49] - 33*t[50] + 
       (337*t[51])/4 + 33*t[52] + 72*t[53] + 33*t[54] - 71*t[59] + 
       490*t[60] + 34*t[61] - (267*t[62])/2 - (605*t[63])/2 + (53*t[64])/2 - 
       (800*t[65])/3 - (1666*t[66])/3 + 16*t[67] - 40*t[69] - 8*t[70] + 
       8*t[71] + 32*t[74] + 16*t[81] - 16*t[82] + 42*t[84] + 30*t[85] - 
       146*t[87] - 73*t[88] - 62*t[89]) + HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w]*
      ((137*t[1])/2 - (73*t[3])/4 + 88*t[4] - (13*t[5])/4 + (93*t[6])/4 + 
       (73*t[7])/4 + (219*t[8])/4 + (91*t[9])/2 - (445*t[10])/4 + 
       (453*t[11])/4 - (239*t[12])/2 + (1459*t[13])/24 + (407*t[14])/12 - 
       (479*t[15])/24 - (11*t[16])/2 + 14*t[25] - (131*t[26])/2 - 11*t[36] + 
       9*t[37] + (113*t[38])/2 - t[46] - (3*t[48])/4 - (75*t[49])/2 - 
       (53*t[50])/4 + (69*t[51])/2 + (53*t[52])/4 + 31*t[53] + (53*t[54])/4 - 
       (73*t[59])/2 + 237*t[60] + (9*t[61])/2 - (389*t[62])/4 - 
       (597*t[63])/4 + (29*t[64])/2 - (637*t[65])/4 - (3683*t[66])/12 + 
       (11*t[67])/2 - 21*t[69] - 3*t[70] + 3*t[71] + 11*t[74] + 
       (11*t[81])/2 - (11*t[82])/2 + (73*t[84])/4 + 14*t[85] - 
       (137*t[87])/2 - (137*t[88])/4 - 45*t[89]) + 
     HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w]*(18*t[1] - 6*t[3] + 32*t[4] - 
       (3*t[5])/8 + (63*t[6])/8 + 6*t[7] + 18*t[8] + (115*t[9])/8 - 
       (67*t[10])/2 + (289*t[11])/8 - (223*t[12])/8 + (95*t[13])/4 + 
       (379*t[14])/24 - (117*t[15])/16 - (3*t[16])/2 + 5*t[25] - 18*t[26] - 
       3*t[36] + (5*t[37])/2 + 14*t[38] - t[46] - t[48]/8 - 12*t[49] - 
       (33*t[50])/8 + (75*t[51])/8 + (33*t[52])/8 + 12*t[53] + (33*t[54])/8 - 
       (19*t[59])/2 + (297*t[60])/4 - t[61]/4 - (291*t[62])/8 - 
       (397*t[63])/8 - (49*t[64])/8 - (323*t[65])/6 - (341*t[66])/3 + 
       (3*t[67])/2 - 6*t[69] - 2*t[70] + 2*t[71] + 3*t[74] + (3*t[81])/2 - 
       (3*t[82])/2 + 6*t[84] + (17*t[85])/4 - (81*t[87])/4 - (81*t[88])/8 - 
       (141*t[89])/8) + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (-12*t[1] + 40*t[4] + 14*t[7] + 14*t[8] - 16*t[10] - 24*t[11] + 
       2*t[12] - (16*t[13])/3 + (14*t[14])/3 - (10*t[15])/3 + 16*t[37] - 
       12*t[46] + 10*t[49] + 4*t[51] - 10*t[53] + 16*t[60] - 24*t[61] + 
       4*t[62] + 28*t[63] - 56*t[64] + (40*t[66])/3 + 4*t[67] - 8*t[70] + 
       4*t[71] - 24*t[74] - 24*t[79] + 4*t[83] + 56*t[86] - 16*t[87] - 
       8*t[88] - 12*t[89]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (16*t[1] + 40*t[4] + 14*t[7] + 14*t[8] - 16*t[10] - 24*t[11] - 
       26*t[12] - 24*t[13] + (14*t[14])/3 - (10*t[15])/3 + 16*t[37] - 
       12*t[46] + 10*t[49] + 4*t[51] - 10*t[53] + 16*t[60] - 24*t[61] + 
       4*t[62] + 28*t[63] - 56*t[64] + 8*t[65] + (136*t[66])/3 + 4*t[67] - 
       8*t[70] + 4*t[71] - 24*t[74] - 24*t[79] + 4*t[83] + 56*t[86] - 
       16*t[87] - 8*t[88] - 12*t[89]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(10*t[1] + 46*t[4] - (9*t[5])/4 - (9*t[6])/8 - 
       (17*t[7])/4 - (17*t[8])/4 + (9*t[9])/4 + 18*t[10] + (71*t[11])/8 - 
       (127*t[12])/4 - (89*t[13])/12 + (21*t[14])/2 - (161*t[15])/24 - 
       2*t[26] - (7*t[37])/2 + 2*t[38] - 3*t[46] - (9*t[48])/8 + 
       (39*t[49])/4 - (9*t[50])/8 - (33*t[51])/8 + (9*t[52])/8 - 
       (75*t[53])/4 - (63*t[54])/8 - t[59] + (205*t[60])/4 + (13*t[61])/4 - 
       (43*t[62])/8 - (53*t[63])/8 - (715*t[64])/8 - (79*t[65])/3 - 
       (41*t[66])/2 + t[67]/2 + 6*t[69] - 4*t[70] + (7*t[71])/2 - 3*t[73] + 
       5*t[74] - 9*t[75] + (7*t[79])/2 + (3*t[81])/2 - (3*t[82])/2 + 
       11*t[83] + 9*t[84] + (45*t[85])/4 - (31*t[86])/2 - (129*t[87])/4 - 
       (133*t[88])/8 - (51*t[89])/8) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-11*t[1])/2 + t[3] + 8*t[4] - (15*t[5])/4 + 
       (27*t[6])/8 + t[7]/4 + t[8]/4 - (17*t[9])/4 - (111*t[10])/4 - 
       (29*t[11])/8 + 8*t[12] - (121*t[13])/9 - (15*t[14])/8 + t[15]/8 + 
       3*t[31] + 2*t[37] + 4*t[43] + t[46] - (21*t[48])/8 + t[49]/2 - 
       (21*t[50])/8 - t[51] + (21*t[52])/8 - t[53]/2 + (21*t[54])/8 + 
       2*t[59] - (11*t[60])/4 - (127*t[61])/4 + (181*t[62])/8 - 
       (49*t[63])/8 + (59*t[64])/8 - (70*t[65])/3 + (89*t[66])/2 + t[67]/2 + 
       6*t[69] - 4*t[70] + (7*t[71])/2 + 2*t[74] - 7*t[79] + 52*t[80] + 
       (3*t[81])/2 - (3*t[82])/2 + 2*t[83] + (21*t[85])/4 + 23*t[86] - 
       (17*t[87])/4 - (17*t[88])/8 - (35*t[89])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Ot[u, v, w]*((3*t[2])/4 - (4*t[3])/3 + 
       (16*t[4])/3 - (4*t[5])/3 - (5*t[6])/2 + (11*t[7])/3 - (13*t[8])/6 - 
       (19*t[9])/4 + 3*t[10] + (49*t[11])/6 + (17*t[12])/12 + 
       (199*t[13])/36 - (97*t[14])/24 + (73*t[15])/24 + (4*t[27])/3 - 
       (8*t[28])/3 - (4*t[29])/3 + (7*t[30])/3 - 2*t[35] - (4*t[39])/3 + 
       (4*t[44])/3 + t[46]/2 - (29*t[48])/6 - (3*t[49])/2 + (19*t[50])/6 + 
       (17*t[51])/24 - (19*t[52])/6 + (3*t[53])/2 - (5*t[54])/2 - 
       (17*t[60])/3 + 8*t[61] - (3*t[62])/2 - (125*t[63])/6 + (13*t[64])/6 - 
       (137*t[65])/9 - (70*t[66])/9 + (4*t[72])/3 + t[73] - 5*t[75] - 
       3*t[78] - (2*t[81])/3 - (2*t[82])/3 + (28*t[83])/3 - (10*t[84])/3 + 
       (2*t[85])/3 + (19*t[87])/3 + (19*t[88])/6 - (23*t[89])/6) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*
      (-67*t[2] + (125*t[3])/4 - (73*t[4])/4 - (63*t[5])/8 + 7*t[6] + 
       (11*t[7])/4 + (165*t[8])/4 + (107*t[9])/8 + (245*t[10])/8 - 
       (217*t[11])/4 - (49*t[12])/4 - (229*t[13])/12 - (4417*t[14])/48 + 
       (1465*t[15])/48 - 13*t[18] - 50*t[20] + 26*t[22] + 15*t[29] - 
       4*t[32] + 9*t[33] - 8*t[34] - 5*t[44] + 7*t[48] + (49*t[49])/8 + 
       8*t[50] - (49*t[51])/16 - 8*t[52] - (49*t[53])/8 + (83*t[54])/4 + 
       20*t[59] - (911*t[60])/4 - (231*t[61])/4 + (457*t[62])/8 + 
       (499*t[63])/8 + (501*t[64])/8 + (1397*t[65])/12 + (691*t[66])/12 - 
       2*t[67] + 25*t[69] + t[70] - t[71] - 4*t[74] - 2*t[81] + 2*t[82] - 
       (61*t[84])/4 - (55*t[85])/4 + (305*t[87])/4 + (305*t[88])/8 - 
       (29*t[89])/8) + HPL[{1}, 1 - w]^2*Qep[v, w, u]*
      (-4*t[2] - (16*t[3])/3 + 8*t[5] + (16*t[6])/3 + (44*t[7])/3 - 36*t[8] + 
       (28*t[9])/3 + (20*t[10])/3 + (32*t[11])/3 + (4*t[12])/3 - 
       (92*t[13])/9 + (200*t[14])/9 + (38*t[15])/9 - (32*t[47])/3 - 
       (16*t[48])/3 + (16*t[50])/3 - (16*t[52])/3 - (16*t[54])/3 + 16*t[60] + 
       16*t[61] - (4*t[62])/3 + (76*t[63])/3 - (172*t[64])/3 + (16*t[65])/3 + 
       (136*t[66])/9 - (40*t[79])/3 - (40*t[86])/3 - (32*t[87])/3 - 
       (16*t[88])/3 - (8*t[89])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Qep[v, w, u]*((-32*t[1])/3 + (32*t[3])/3 - (64*t[4])/3 - (56*t[5])/3 + 
       (20*t[6])/3 - 24*t[7] - (8*t[8])/3 + (40*t[9])/3 + (136*t[10])/3 - 
       (28*t[11])/3 + (80*t[12])/3 - 8*t[13] - (124*t[14])/9 - 
       (140*t[15])/9 + (32*t[31])/3 - (16*t[43])/3 - (28*t[48])/3 - 
       (28*t[50])/3 + (28*t[52])/3 + (28*t[54])/3 - (32*t[59])/3 + 8*t[60] - 
       40*t[61] + (8*t[62])/3 - (8*t[63])/3 + 20*t[64] + (8*t[65])/3 - 
       (200*t[66])/9 + (80*t[79])/3 + (16*t[81])/3 - (16*t[82])/3 + 
       (56*t[85])/3 + 16*t[86] - (56*t[87])/3 - (28*t[88])/3 - (4*t[89])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Nt[u, v, w]*(-t[3]/3 + (4*t[4])/3 + 
       (2*t[5])/3 - t[6] + (2*t[7])/3 - (5*t[8])/3 - 2*t[9] + (8*t[11])/3 + 
       t[12]/6 + (67*t[13])/36 - (13*t[14])/12 + (3*t[15])/4 + t[27]/3 - 
       (2*t[28])/3 - t[29]/3 + t[30]/3 - t[39]/3 + t[44]/3 - (5*t[48])/6 + 
       (7*t[50])/6 + t[51]/12 - (7*t[52])/6 - (3*t[54])/2 - (8*t[60])/3 + 
       3*t[61] - (13*t[63])/3 + (7*t[64])/6 - (97*t[65])/18 - (35*t[66])/18 + 
       t[72]/3 - 2*t[75] - t[78] - (2*t[81])/3 + t[82]/3 + (7*t[83])/3 - 
       (5*t[84])/6 - t[85]/3 + (7*t[87])/3 + (7*t[88])/6 - (4*t[89])/3) + 
     B5[u, w, v]*HPL[{1}, 1 - w]*(t[3]/2 - t[4]/2 - t[5]/4 - (3*t[7])/2 - 
       (3*t[8])/2 - (9*t[9])/4 - (13*t[10])/4 + (3*t[11])/2 + t[12]/2 + 
       (7*t[13])/6 - (23*t[14])/24 - t[15]/24 - t[49]/4 + t[51]/8 + t[53]/4 - 
       t[54]/2 - t[60]/2 + t[61]/2 + 3*t[62] + (3*t[64])/4 - (11*t[66])/6 + 
       t[72] - t[77]/2 - 2*t[86] - (5*t[89])/4) + 
     B10[u, v, w]*HPL[{1}, 1 - w]*(t[4] + t[5] + t[6] + t[7] + 4*t[8] - 
       t[10] - 2*t[12] + t[13]/2 - t[14]/3 + (4*t[15])/3 + 2*t[61] + t[62] - 
       6*t[63] - t[64] - t[89]) + HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - u]*
      (-t[1]/2 + t[4] + t[7]/4 + t[8]/4 - t[11] + (13*t[12])/12 - 
       (2*t[13])/9 + (11*t[14])/12 - t[15]/4 + t[37] - t[46]/2 + 
       (3*t[49])/4 - (3*t[53])/4 + (2*t[59])/3 + t[60] - (2*t[61])/3 + 
       (4*t[62])/3 + 2*t[63] - 2*t[64] - (4*t[65])/3 - (7*t[66])/9 + 
       t[67]/6 + (4*t[69])/3 - t[70] + (5*t[71])/6 - t[74] - t[79] + 
       t[83]/2 + t[86] - t[87] - t[88]/2 - t[89]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - w]*(t[4] + t[7]/4 + t[8]/4 - 
       t[11] + (7*t[12])/12 - (7*t[13])/9 + (11*t[14])/12 - t[15]/4 - 
       t[37]/2 - t[46]/2 + (3*t[49])/4 - (3*t[53])/4 + (2*t[59])/3 + t[60] - 
       (2*t[61])/3 + (4*t[62])/3 + 2*t[63] - 2*t[64] - t[65] + t[66]/3 + 
       t[67]/6 + (4*t[69])/3 - t[70] + (5*t[71])/6 - t[74] - t[79] + 
       t[83]/2 + t[86] - t[87] - t[88]/2 - t[89]) + 
     B5[u, v, w]*HPL[{1}, 1 - w]*((5*t[5])/4 - t[6]/4 + t[7]/2 + (3*t[8])/2 - 
       (9*t[9])/4 + (5*t[10])/2 - t[11]/4 - t[12]/4 - t[13]/2 + t[14]/3 + 
       (7*t[15])/24 + t[20] + t[32] - t[40] + t[48]/4 + t[50]/4 + 
       (3*t[52])/4 - t[54]/4 + t[60] - (9*t[62])/4 - (7*t[63])/4 - t[64]/2 - 
       (11*t[65])/6 + (2*t[66])/3 + t[77]/2 - t[84]/2 - t[85]/2 + 2*t[86] - 
       t[87]/2 - t[88]/4 - t[89]) + B8[u, v, w]*HPL[{1}, 1 - w]*
      (-t[3]/4 - (7*t[5])/4 - 2*t[6] + (7*t[7])/2 - (9*t[8])/2 + t[9] - 
       3*t[10] - t[12] - (4*t[13])/3 - (29*t[14])/24 + (3*t[15])/8 + t[44] + 
       t[46]/2 - t[48]/4 + t[49]/2 + (3*t[50])/4 - (3*t[51])/8 - 
       (3*t[52])/4 - t[53]/2 - (5*t[54])/4 + (5*t[62])/2 + (3*t[63])/2 - 
       (9*t[64])/4 + (7*t[65])/4 + (35*t[66])/12 + t[75] + t[78] + t[81]/2 + 
       t[82]/2 - t[83] + (5*t[84])/4 - t[85]/2 - t[87] - t[88]/2 - 
       (3*t[89])/4) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (-15*t[1] - t[3]/4 - 14*t[4] + (23*t[5])/4 - (7*t[6])/4 + t[7]/4 + 
       (3*t[8])/4 - (15*t[9])/2 + (181*t[10])/4 - (63*t[11])/4 + 
       (77*t[12])/2 - (245*t[13])/24 + (7*t[14])/8 + (161*t[15])/24 + 
       (5*t[16])/2 - 6*t[25] + 19*t[26] + 5*t[36] - (21*t[37])/2 - 18*t[38] + 
       2*t[46] + t[48]/4 + (5*t[49])/2 + (23*t[50])/4 - (53*t[51])/8 - 
       (23*t[52])/4 + (15*t[53])/2 - (23*t[54])/4 + 8*t[59] - 58*t[60] + 
       (33*t[61])/2 - 11*t[62] + (61*t[63])/2 - (69*t[64])/4 + 
       (341*t[65])/12 + (637*t[66])/12 - (5*t[67])/2 - 7*t[69] + t[70] - 
       t[71] - 5*t[74] - (5*t[81])/2 + (5*t[82])/2 - (31*t[84])/4 - 6*t[85] + 
       (35*t[87])/2 + (37*t[88])/4 - t[89]/2) + HPL[{1}, 1 - w]^5*
      HPL[{0, 1}, 1 - u]*((-3*t[2])/32 + t[3]/8 - t[4]/8 - (7*t[5])/16 - 
       (13*t[6])/24 + (11*t[7])/32 + (5*t[8])/32 + (11*t[9])/32 - 
       (11*t[10])/32 + (5*t[12])/32 + (21*t[13])/160 - (3*t[14])/16 - 
       (11*t[15])/64 + t[47]/4 - t[48]/8 + t[50]/8 - t[52]/8 - t[54]/8 + 
       t[59]/120 + t[60]/8 - (3*t[61])/8 - (7*t[62])/96 - (25*t[63])/32 + 
       (9*t[64])/32 + (11*t[65])/72 - (41*t[66])/144 + (3*t[79])/16 + 
       (11*t[86])/16 - t[87]/4 - t[88]/8 - (3*t[89])/16) + 
     B7[u, v, w]*HPL[{1}, 1 - w]*(-t[3]/4 - t[4]/4 - t[5] - t[6]/8 + 
       (3*t[7])/2 - t[8] + t[9]/4 - (7*t[10])/8 - (7*t[11])/8 + t[12]/8 - 
       (5*t[14])/16 + t[15]/24 - (7*t[48])/8 - t[49]/8 + t[50]/8 + t[51]/16 - 
       t[52]/8 + t[53]/8 + (5*t[54])/8 + t[60]/4 + t[61]/4 + (3*t[62])/8 + 
       t[63]/8 + t[64]/8 - (5*t[65])/12 + (7*t[66])/12 + t[83] + t[84]/4 + 
       (3*t[85])/4 - t[87]/4 - t[88]/8 - t[89]/8) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^5*((-3*t[2])/64 + t[3]/16 - 
       (7*t[5])/32 - (11*t[6])/48 + (11*t[7])/64 + (13*t[8])/64 + 
       (11*t[9])/64 - (11*t[10])/64 + (5*t[12])/64 + (55*t[13])/576 - 
       (23*t[14])/288 - (11*t[15])/128 + t[47]/8 - t[48]/16 + t[50]/16 - 
       t[52]/16 - t[54]/16 + t[60]/16 - (5*t[61])/16 - (5*t[62])/64 - 
       (25*t[63])/64 + (17*t[64])/64 + t[65]/48 - (61*t[66])/288 + 
       (3*t[79])/32 + (11*t[86])/32 - t[87]/8 - t[88]/16 - (3*t[89])/32) + 
     HPL[{1}, 1 - w]^3*Omega2[w, u, v]*(-t[3]/2 + (5*t[5])/4 + (7*t[6])/6 - 
       (5*t[8])/2 - t[9]/4 + t[10] + t[11]/2 - t[12]/4 - (31*t[13])/36 + 
       (49*t[14])/36 + (13*t[15])/24 - t[47] + t[60]/2 + 2*t[61] + t[62]/4 + 
       (11*t[63])/4 - (15*t[64])/4 + t[65]/6 + (14*t[66])/9 - t[79] - 
       2*t[86] + t[89]/4) + B9[u, v, w]*HPL[{1}, 1 - w]*
      (t[3] + (3*t[4])/2 + (3*t[5])/2 + (19*t[6])/4 + (11*t[8])/2 - 
       (5*t[9])/2 - (21*t[10])/4 + (5*t[11])/4 - (7*t[12])/4 - (7*t[14])/8 - 
       (7*t[15])/6 - 2*t[27] - t[46] + (7*t[48])/4 + (7*t[49])/4 - t[50]/4 - 
       t[51]/8 + t[52]/4 - (7*t[53])/4 - (5*t[54])/4 - (3*t[60])/2 + 
       t[61]/2 - t[62]/4 + (13*t[63])/4 - (5*t[64])/4 - (5*t[65])/3 + t[81] + 
       t[82] - 2*t[83] - (3*t[85])/2 + (3*t[87])/2 + (3*t[88])/4 + t[89]/4) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - v]*(-3*t[3] - (33*t[4])/4 - 
       (15*t[5])/2 - (41*t[6])/4 + (51*t[7])/2 + (39*t[9])/2 + (57*t[10])/8 - 
       (3*t[11])/2 + (45*t[12])/8 - (47*t[13])/6 + (29*t[14])/16 - 
       (17*t[15])/8 - 3*t[24] - 3*t[31] - (3*t[43])/2 + 3*t[47] - 
       (9*t[48])/4 - (21*t[49])/8 + (27*t[50])/4 + (21*t[51])/16 - 
       (27*t[52])/4 + (21*t[53])/8 + (3*t[54])/2 + (9*t[60])/2 - 6*t[61] - 
       (117*t[62])/8 - (51*t[63])/8 - (39*t[64])/4 + (63*t[65])/4 + 
       (47*t[66])/4 + 3*t[83] + (3*t[84])/2 - (3*t[85])/2 + 18*t[86] - 
       (9*t[87])/2 - (9*t[88])/4 + (3*t[89])/4) + 
     B11[v, w, u]*HPL[{1}, 1 - w]*(t[3] + t[6] - 2*t[7] + 2*t[8] - t[9] - 
       t[11] - t[13]/3 - t[14]/3 - t[15]/2 + t[48] - t[50] + t[52] + t[54] - 
       3*t[60] - t[61] + t[64] + (4*t[65])/3 + (4*t[66])/3 - 2*t[83] + 
       t[89]) + B9[w, u, v]*HPL[{1}, 1 - w]*((-3*t[2])/2 + t[3] + t[6] - 
       (3*t[7])/2 + 4*t[8] - (5*t[9])/2 + (3*t[10])/2 - t[11] - (9*t[12])/2 + 
       t[13]/6 - t[14] + (13*t[15])/12 - t[17] + 2*t[24] + t[48] - t[50] + 
       t[52] + t[54] - t[61] + (3*t[62])/2 + (3*t[63])/2 - 2*t[64] + 
       t[66]/3 - t[79] - 2*t[83] - 3*t[86] + t[89]) + 
     HPL[{1}, 1 - w]*Phi6[u, v, w]^2*((3*t[2])/8 - t[3]/4 + (23*t[4])/8 - 
       (9*t[5])/8 + (15*t[6])/16 - (3*t[7])/4 + (7*t[8])/4 + (5*t[9])/4 - 
       (3*t[10])/16 + (5*t[11])/16 - (5*t[12])/16 + (25*t[13])/24 - 
       (21*t[14])/32 - (19*t[15])/16 - t[31]/2 - t[35] - t[43]/4 - t[44]/2 - 
       t[45]/2 - t[46]/2 + (3*t[47])/2 - t[48]/16 - t[49]/16 - t[50]/16 + 
       (5*t[51])/32 + t[52]/16 + t[53]/16 + (3*t[54])/16 + t[60]/8 - 
       (3*t[61])/8 - (33*t[62])/16 + (21*t[63])/16 + (71*t[64])/16 - 
       (7*t[65])/4 - (7*t[66])/6 - t[74]/2 - t[75]/2 - t[78]/2 - t[81]/4 - 
       t[82]/4 + (3*t[83])/2 - t[84]/2 + t[85]/8 + (11*t[87])/8 + 
       (11*t[88])/16 + (17*t[89])/16) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      M1[v, w, u]*((-3*t[2])/4 + (7*t[3])/12 - (4*t[4])/3 - (17*t[5])/12 + 
       t[6]/4 + t[7]/3 - (13*t[8])/3 + 5*t[9] - 4*t[10] - (5*t[11])/3 + 
       t[12]/3 + (43*t[13])/72 + (25*t[14])/24 - (203*t[15])/72 - t[27]/3 + 
       (2*t[28])/3 + t[29]/3 - (4*t[30])/3 + 2*t[31] + 4*t[35] - t[37] + 
       t[39]/3 + (2*t[44])/3 - t[46]/2 - t[48]/6 + t[49]/2 - (2*t[50])/3 + 
       t[51]/24 + (2*t[52])/3 - t[53]/2 - t[59]/2 + (25*t[60])/6 - 
       (5*t[61])/2 - t[62]/4 + (55*t[63])/12 - (23*t[64])/12 + (17*t[65])/9 - 
       (2*t[66])/9 - t[72]/3 - t[73] + t[75] + t[78] - t[81]/3 + 
       (2*t[82])/3 - (11*t[83])/6 + (5*t[84])/6 + (11*t[85])/6 + t[86] - 
       (17*t[87])/6 - (17*t[88])/12 + (13*t[89])/12) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*(35*t[1] - (61*t[3])/4 + 
       64*t[4] + (25*t[5])/8 + (171*t[6])/8 + (61*t[7])/4 + (183*t[8])/4 + 
       (305*t[9])/8 + (21*t[10])/4 + (209*t[11])/8 - (769*t[12])/8 + 
       (181*t[13])/24 + (92*t[14])/3 - (21*t[15])/16 - 2*t[16] + 5*t[25] - 
       17*t[26] - 4*t[36] + 8*t[37] + 22*t[38] - 2*t[46] - (37*t[48])/8 - 
       3*t[49] - (73*t[50])/8 + (21*t[51])/4 + (73*t[52])/8 - 17*t[53] + 
       (73*t[54])/8 - 20*t[59] + (655*t[60])/4 + (199*t[61])/4 - 
       (457*t[62])/8 - (499*t[63])/8 - (309*t[64])/8 - (757*t[65])/12 - 
       (947*t[66])/12 + 2*t[67] - 25*t[69] - t[70] + t[71] + 4*t[74] + 
       2*t[81] - 2*t[82] + (61*t[84])/4 + (55*t[85])/4 - (241*t[87])/4 - 
       (241*t[88])/8 + (29*t[89])/8) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*(7*t[2] + (99*t[3])/4 + (73*t[4])/4 + 
       (63*t[5])/8 - 7*t[6] - (11*t[7])/4 - (165*t[8])/4 - (43*t[9])/8 - 
       (245*t[10])/8 + (217*t[11])/4 + (49*t[12])/4 + (293*t[13])/12 + 
       (833*t[14])/48 - (697*t[15])/48 + 13*t[18] + 50*t[20] - 26*t[22] - 
       15*t[29] + 4*t[32] - 9*t[33] + 8*t[34] + 5*t[44] - 7*t[48] - 
       (49*t[49])/8 - 8*t[50] + (49*t[51])/16 + 8*t[52] + (49*t[53])/8 - 
       (83*t[54])/4 - 4*t[59] + (399*t[60])/4 + (199*t[61])/4 - 
       (457*t[62])/8 - (499*t[63])/8 - (309*t[64])/8 - (245*t[65])/12 - 
       (947*t[66])/12 + 2*t[67] - 25*t[69] - t[70] + t[71] + 4*t[74] + 
       2*t[81] - 2*t[82] + (61*t[84])/4 + (55*t[85])/4 - (241*t[87])/4 - 
       (241*t[88])/8 + (29*t[89])/8) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*((19*t[1])/2 + (17*t[2])/2 + (55*t[3])/4 + 
       29*t[4] - (59*t[5])/4 - (121*t[6])/4 + (75*t[7])/4 - (21*t[8])/4 - 
       (11*t[9])/4 - 41*t[10] + (103*t[11])/4 - (65*t[12])/4 + 
       (431*t[13])/18 - (55*t[14])/12 - (37*t[15])/4 - 5*t[17] + 4*t[18] + 
       3*t[19] + t[21] - 6*t[23] + 6*t[24] - 9*t[31] - t[41] + t[42] - 
       (29*t[43])/4 - (37*t[45])/2 - (5*t[46])/2 + 35*t[47] + 7*t[48] + 
       (7*t[49])/4 + 7*t[50] + t[51] - 7*t[52] - (7*t[53])/4 + 3*t[54] + 
       (5*t[59])/2 - 8*t[60] + 26*t[61] + t[62] + 3*t[63] + 23*t[64] + 
       32*t[65] - 36*t[66] - 16*t[69] - 4*t[80] + 8*t[84] - 8*t[85] - 
       4*t[86] + 8*t[87] + 4*t[88] + 4*t[89]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]^2*((-7*t[1])/2 - 7*t[2] - (61*t[3])/4 - 
       (79*t[4])/4 + (9*t[5])/2 + (61*t[6])/8 - 5*t[7] + (47*t[8])/2 + 
       (47*t[9])/4 + (151*t[10])/8 - (5*t[11])/8 + (35*t[12])/8 + 
       (13*t[13])/6 + (743*t[14])/48 + (45*t[15])/8 + 2*t[17] - 2*t[18] + 
       2*t[19] - t[21] + 2*t[23] - 3*t[24] + 3*t[31] + (7*t[41])/2 - 
       (7*t[42])/2 + (7*t[43])/2 + 3*t[45] + t[46] - 10*t[47] - 
       (17*t[48])/8 - (19*t[49])/8 - (17*t[50])/8 + (7*t[51])/16 + 
       (17*t[52])/8 + (19*t[53])/8 + (19*t[54])/8 - 5*t[59] + (79*t[60])/4 + 
       (31*t[61])/4 - (19*t[62])/8 - (121*t[63])/8 - (45*t[64])/8 + 
       (109*t[65])/4 + (5*t[66])/4 + t[67] + 3*t[69] + t[70] - t[71] + 
       2*t[74] + t[81] - t[82] + t[84]/4 + (9*t[85])/4 - (19*t[87])/4 - 
       (19*t[88])/8 + (81*t[89])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(-6*t[2] + 2*t[3] + 22*t[5] + 8*t[6] - 
       34*t[7] - 2*t[8] - 20*t[9] + 18*t[10] - 10*t[11] - 16*t[12] + 
       5*t[13] - 16*t[14] - (43*t[15])/3 - 16*t[35] + 10*t[48] - 10*t[50] + 
       10*t[52] + 10*t[54] - 16*t[60] + 24*t[61] + 12*t[62] + 16*t[63] + 
       70*t[64] - (56*t[65])/3 - (16*t[66])/3 + 8*t[70] - 8*t[71] + 
       12*t[79] - 4*t[83] - 28*t[86] + 16*t[87] + 8*t[88] + 12*t[89]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*
      ((465*t[2])/4 + (15*t[3])/4 + (45*t[5])/4 + (105*t[6])/2 - 
       (465*t[7])/4 + (555*t[8])/4 - 105*t[9] + (45*t[10])/4 - 
       (225*t[11])/4 - (15*t[12])/2 - (225*t[13])/8 - (205*t[14])/6 + 
       (175*t[15])/8 + 30*t[18] - 105*t[35] + 12*t[37] + (225*t[48])/4 - 
       (225*t[50])/4 + (225*t[52])/4 + (225*t[54])/4 - 105*t[60] + 50*t[61] + 
       (15*t[63])/2 + (615*t[64])/4 + 30*t[65] + 90*t[66] - 60*t[69] + 
       15*t[70] - 15*t[71] + (15*t[79])/2 - (15*t[83])/2 - (15*t[86])/2 + 
       105*t[87] + (105*t[88])/2 + 60*t[89]) + 6*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*t[99] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      (t[1]/8 + (29*t[2])/16 - t[3]/8 + (59*t[4])/48 + (27*t[5])/32 + 
       (257*t[6])/192 - (121*t[7])/96 + (109*t[8])/32 - (31*t[9])/32 - 
       (59*t[10])/24 + (89*t[11])/192 - (27*t[12])/32 + (623*t[13])/864 + 
       (31*t[14])/48 + (877*t[15])/576 + t[24]/12 - t[31]/24 - t[37]/4 - 
       t[41]/8 + t[42]/8 + (13*t[43])/48 - (5*t[44])/12 - t[45]/6 + 
       t[46]/24 + t[47]/6 + (7*t[48])/64 - (13*t[49])/32 - (43*t[50])/192 + 
       (37*t[51])/192 + (43*t[52])/192 + (13*t[53])/32 + (167*t[54])/192 + 
       t[59]/8 + (19*t[60])/96 + (241*t[61])/96 + (5*t[62])/16 - 
       (9*t[63])/16 - (389*t[64])/192 - (97*t[65])/96 - (49*t[66])/96 - 
       t[73]/6 - t[75]/6 - t[76]/6 + t[78]/12 - (23*t[79])/48 + 
       (7*t[80])/12 - t[81]/16 - t[82]/48 + (5*t[83])/3 - t[84]/6 + 
       t[85]/32 - (53*t[86])/48 + (133*t[87])/96 + (133*t[88])/192 - 
       (77*t[89])/192 - t[98] + t[99]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((3*t[2])/2 + (79*t[3])/48 - (187*t[4])/96 - 
       (79*t[5])/48 - (401*t[6])/192 + (73*t[7])/24 + (13*t[8])/16 + 
       (29*t[9])/32 - (187*t[10])/64 - (169*t[11])/192 - (145*t[12])/192 - 
       (673*t[13])/288 - (1757*t[14])/1152 - (35*t[15])/32 - t[24]/12 - 
       t[27]/3 - (17*t[28])/12 + t[29]/12 - t[30]/12 - (5*t[31])/6 + 
       t[32]/2 - t[33]/2 + t[35]/2 + t[36]/4 - t[37]/4 + t[39]/3 - t[41]/8 + 
       t[42]/8 - t[43]/6 + (47*t[44])/24 - t[45]/2 - (7*t[46])/8 + 
       (3*t[47])/2 - (211*t[48])/192 + (23*t[49])/64 + (119*t[50])/64 + 
       (127*t[51])/384 - (119*t[52])/64 - (23*t[53])/64 - (259*t[54])/192 - 
       (455*t[60])/96 + (49*t[61])/32 - (995*t[62])/192 + (1475*t[63])/192 + 
       (941*t[64])/192 + (625*t[65])/288 + (5*t[66])/3 - t[72]/3 - t[73] - 
       t[74]/2 + (2*t[75])/3 - t[77]/4 + t[78]/2 - t[79]/24 + (3*t[80])/4 - 
       (5*t[81])/24 - (5*t[82])/24 + (29*t[83])/12 - (7*t[84])/32 - 
       (131*t[85])/96 + (23*t[86])/4 + (509*t[87])/96 + (509*t[88])/192 - 
       (253*t[89])/192 - (8*t[98])/3 + (7*t[99])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-3*t[1] + (21*t[2])/2 + (9*t[3])/2 + 33*t[4] - (113*t[5])/4 - 
       (57*t[6])/8 - (47*t[7])/2 + t[8] + (61*t[9])/4 + (201*t[10])/2 - 
       (193*t[11])/8 + (41*t[12])/4 - (211*t[13])/12 - (237*t[14])/8 - 
       (53*t[15])/8 - 9*t[31] - 4*t[35] + 2*t[37] - (13*t[43])/2 - 3*t[44] - 
       3*t[45] + (19*t[46])/2 + 9*t[47] + (27*t[48])/8 - (75*t[49])/4 + 
       (11*t[50])/8 + 3*t[51] - (11*t[52])/8 + (75*t[53])/4 + (221*t[54])/8 - 
       (17*t[59])/2 - (35*t[60])/4 - (205*t[61])/4 - (61*t[62])/4 - 
       67*t[63] + (79*t[64])/8 + (293*t[65])/12 - (3*t[66])/4 - 2*t[67] + 
       22*t[74] - 3*t[75] - 3*t[78] + 27*t[79] - 18*t[80] - t[81]/2 - 
       (11*t[82])/2 + 7*t[83] - 2*t[84] - (19*t[85])/4 - 42*t[86] + 
       (47*t[87])/4 + (47*t[88])/8 + (69*t[89])/8 + 6*t[99]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((31*t[1])/3 + (23*t[3])/4 - (37*t[4])/4 - (77*t[5])/8 - (27*t[6])/8 - 
       (19*t[7])/4 - (41*t[8])/4 + (55*t[9])/8 - (247*t[10])/8 - 
       (137*t[11])/8 - 31*t[12] + (247*t[13])/72 + (77*t[14])/48 - 
       (261*t[15])/16 + 2*t[16] + 2*t[25] - 14*t[26] - 3*t[28] + 9*t[31] + 
       15*t[35] + 5*t[36] + 6*t[37] + (28*t[38])/3 - 3*t[39] + 3*t[40] - 
       3*t[45] - 18*t[46] + 6*t[47] - (75*t[48])/8 + (145*t[49])/8 - 
       (55*t[50])/8 + (87*t[51])/16 + (55*t[52])/8 - (145*t[53])/8 + 
       (17*t[54])/8 - (32*t[59])/3 + 23*t[60] - (211*t[61])/6 - 
       (29*t[62])/8 + (5*t[63])/8 - 3*t[64] - (139*t[65])/36 - 
       (1393*t[66])/36 + 4*t[69] - 3*t[74] - 19*t[75] - 3*t[77] - 3*t[78] + 
       2*t[79] - 6*t[80] - 2*t[81] + 2*t[82] + 21*t[83] - (5*t[84])/2 + 
       (33*t[85])/2 + 22*t[86] - (33*t[87])/2 - (33*t[88])/4 - 9*t[89] + 
       12*t[99]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u]*
      ((465*t[3])/2 + 75*t[4] - (585*t[5])/4 - 75*t[6] + 495*t[7] - 
       405*t[8] + (1815*t[9])/4 - 1515*t[10] + (1005*t[11])/2 + 
       (345*t[12])/4 + (815*t[13])/6 - (1465*t[14])/4 - (3135*t[15])/8 - 
       45*t[22] + 45*t[32] + (195*t[43])/2 - 435*t[45] + 870*t[47] - 
       300*t[60] + 120*t[61] - 630*t[62] + 120*t[63] + 2340*t[64] - 
       355*t[65] - 1005*t[66] + 30*t[77] + 960*t[80] + 30*t[82] + 
       1560*t[86] - 210*t[89] - 1440*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w]*(-20*t[2] - 150*t[3] + (1635*t[4])/2 - 
       1765*t[5] + 1100*t[6] - 610*t[7] + 3410*t[8] + 1750*t[9] - 
       (5545*t[10])/4 + 795*t[11] + (5875*t[12])/4 + (3845*t[13])/6 + 
       (25*t[14])/8 - (4665*t[15])/4 + 40*t[18] - 20*t[19] + 440*t[21] - 
       520*t[23] + 120*t[24] - 480*t[31] + 200*t[35] - 25*t[37] + 395*t[41] - 
       395*t[42] - 120*t[43] - 1290*t[45] + 2800*t[47] + 620*t[48] - 
       (495*t[49])/4 - 780*t[50] + (105*t[51])/8 + 780*t[52] + 
       (495*t[53])/4 + (1785*t[54])/2 - (1735*t[60])/2 + (1095*t[61])/2 - 
       (10045*t[62])/4 - (2515*t[63])/4 + (18415*t[64])/4 + (13775*t[65])/6 - 
       (2405*t[66])/2 - 120*t[69] - 360*t[70] + 360*t[71] + 390*t[76] - 
       450*t[78] + 480*t[79] + 1080*t[80] + 530*t[81] - 500*t[82] - 
       160*t[83] + (595*t[84])/2 + (455*t[85])/2 + 910*t[86] + 
       (2005*t[87])/2 + (2005*t[88])/4 + (4495*t[89])/4 - 1440*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*
      (-11*t[1] - (171*t[2])/2 - 96*t[3] + 298*t[4] + (1593*t[5])/4 - 
       (441*t[6])/4 - 164*t[7] - 132*t[8] - (2279*t[9])/4 + (1003*t[10])/2 + 
       (611*t[11])/4 - (1439*t[12])/4 + (2635*t[13])/9 - (1951*t[14])/12 + 
       (7681*t[15])/24 - 10*t[22] - 50*t[32] + 18*t[33] - 72*t[34] - 
       96*t[35] - 40*t[36] + 18*t[38] - 18*t[39] + 45*t[40] + 9*t[41] - 
       9*t[42] + (9*t[43])/2 + 192*t[45] - 44*t[46] - 369*t[47] - 
       (51*t[48])/4 + (299*t[49])/2 + (445*t[50])/4 + (55*t[51])/4 - 
       (757*t[52])/4 - (299*t[53])/2 - (889*t[54])/4 + (41*t[59])/2 + 
       (533*t[60])/2 - (81*t[61])/2 + (327*t[62])/4 - (1599*t[63])/4 - 
       (4713*t[64])/4 + (1669*t[65])/6 + (363*t[66])/2 - 96*t[73] + 
       200*t[75] - 63*t[76] - 40*t[77] + 36*t[78] - 40*t[79] - 214*t[80] - 
       71*t[81] + 87*t[82] + 8*t[83] + (119*t[84])/2 - (245*t[85])/2 - 
       496*t[86] - (163*t[87])/2 - (163*t[88])/4 + (877*t[89])/4 - 9*t[97] + 
       432*t[98] - 240*t[99] - 1044*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*(-2*t[1] + 148*t[2] - 318*t[3] + 
       (2191*t[4])/2 - (647*t[5])/2 + (297*t[6])/4 + 303*t[7] + 59*t[8] + 
       292*t[9] + (1803*t[10])/4 + (4419*t[11])/4 - (1495*t[12])/4 + 
       (831*t[13])/2 + (12505*t[14])/24 + (5173*t[15])/12 - 12*t[17] + 
       (56*t[19])/3 - 56*t[21] + 56*t[23] + 48*t[24] + 32*t[26] + 72*t[31] - 
       54*t[34] - 176*t[35] - 114*t[37] - 5*t[38] + 27*t[39] - 25*t[41] + 
       25*t[42] + 72*t[43] + 168*t[45] + 6*t[46] - 376*t[47] - 
       (161*t[48])/4 + (1885*t[49])/4 - (417*t[50])/4 - (1011*t[51])/8 + 
       (201*t[52])/4 - (1493*t[53])/4 - (1257*t[54])/4 - 23*t[59] + 
       541*t[60] + 72*t[61] + (1041*t[62])/2 + (19*t[63])/2 - 1554*t[64] - 
       (970*t[65])/3 + 27*t[66] + 12*t[67] + 56*t[69] + 144*t[74] - 
       48*t[75] - 200*t[76] + 18*t[77] + 38*t[78] - 292*t[79] - 76*t[80] - 
       8*t[81] - 62*t[82] + 92*t[83] - 107*t[84] - 109*t[85] + 124*t[86] - 
       591*t[87] - (591*t[88])/2 - (199*t[89])/2 - 12*t[94] + 54*t[96] + 
       36*t[97] + 432*t[98] - 240*t[99] - 1044*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v]*((-21*t[1])/2 + 17*t[2] - 
       (693*t[3])/8 + (31*t[4])/2 + (729*t[5])/16 + (5*t[6])/8 - 
       (407*t[7])/8 + (643*t[8])/8 - (1761*t[9])/16 + (3359*t[10])/8 + 
       (2713*t[11])/8 + (1255*t[12])/16 + (12767*t[13])/144 + 
       (5497*t[14])/16 + (20891*t[15])/96 - 3*t[16] + 66*t[25] + 26*t[26] + 
       8*t[27] + 80*t[28] + 16*t[29] + 68*t[30] - 24*t[31] - 8*t[32] + 
       8*t[33] + 4*t[34] - 108*t[35] - 6*t[36] + 12*t[37] - 12*t[38] + 
       50*t[39] + 28*t[40] - 2*t[41] + 2*t[42] + (95*t[43])/4 - 16*t[44] + 
       (169*t[45])/2 + 48*t[46] - 177*t[47] - (87*t[48])/4 - (127*t[49])/2 - 
       (71*t[50])/4 - (131*t[51])/4 - (9*t[52])/4 + (127*t[53])/2 + 
       (403*t[54])/4 - 4*t[58] + (43*t[59])/2 + 260*t[60] + 729*t[61] + 
       (153*t[62])/4 + (2603*t[63])/4 - (1067*t[64])/4 - (5483*t[65])/12 - 
       (5261*t[66])/12 + 9*t[68] + 12*t[69] - 36*t[72] + 234*t[73] + 
       132*t[74] - 210*t[75] + 76*t[76] - 45*t[77] - 16*t[78] + 24*t[79] - 
       169*t[80] + 24*t[81] - (243*t[82])/2 - 186*t[83] + 36*t[84] - 
       144*t[85] - 609*t[86] - 194*t[87] - 97*t[88] - 106*t[89] + 3*t[90] - 
       t[91] + 6*t[93] + 4*t[97] + 624*t[98] - 336*t[99] - 954*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*(5*t[1] - (65*t[2])/2 - 
       34*t[3] + (1573*t[4])/8 - (317*t[5])/4 + (33*t[6])/4 - 36*t[7] - 
       251*t[8] + (1175*t[9])/4 + (7377*t[10])/16 + 272*t[11] - 
       (279*t[12])/16 + (671*t[13])/8 + (29579*t[14])/96 - (29*t[15])/48 + 
       12*t[16] + 34*t[25] + 55*t[26] + 32*t[27] + 92*t[28] + 16*t[29] + 
       68*t[30] - 36*t[31] + 4*t[34] - 108*t[35] - 30*t[36] - 12*t[37] - 
       7*t[38] + 70*t[39] + 20*t[40] - 2*t[41] + 2*t[42] - 22*t[43] - 
       16*t[44] + 48*t[45] + (67*t[46])/2 - 96*t[47] - (297*t[48])/4 - 
       (357*t[49])/16 - (57*t[50])/4 - (1267*t[51])/32 - (23*t[52])/4 + 
       (405*t[53])/16 + (201*t[54])/8 - 4*t[58] + (35*t[59])/2 + 
       (4475*t[60])/8 + (3979*t[61])/8 - (5573*t[62])/16 + (3333*t[63])/16 - 
       (3313*t[64])/16 - (14683*t[65])/24 - (18281*t[66])/24 - 21*t[68] + 
       12*t[69] - 36*t[72] + 336*t[73] + 78*t[74] - 456*t[75] + 199*t[76] - 
       2*t[77] - 292*t[78] + 120*t[79] - 132*t[80] + 59*t[81] - 146*t[82] - 
       84*t[83] + (301*t[84])/8 - (43*t[85])/8 - 244*t[86] - (3411*t[87])/8 - 
       (3411*t[88])/16 - (511*t[89])/16 + 3*t[90] - t[91] + 6*t[93] + 
       4*t[97] + 624*t[98] - 336*t[99] - 954*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (-12*t[1] + (63*t[2])/2 - 59*t[3] + (73*t[4])/2 - 69*t[5] + 
       (209*t[6])/4 - 26*t[7] + 38*t[8] - t[9]/2 + (1191*t[10])/4 + 
       (1343*t[11])/4 + (727*t[12])/4 + (497*t[13])/6 + (2265*t[14])/8 + 
       134*t[15] + 66*t[25] + 30*t[26] + 8*t[27] + 80*t[28] + 16*t[29] + 
       68*t[30] - 24*t[31] - 108*t[35] + 12*t[37] - 12*t[38] + 58*t[39] + 
       12*t[40] - 16*t[44] + 48*t[45] + 42*t[46] - 96*t[47] - (31*t[48])/4 - 
       (327*t[49])/4 + (17*t[50])/4 - (221*t[51])/8 - (17*t[52])/4 + 
       (327*t[53])/4 + (437*t[54])/4 + 12*t[59] + (369*t[60])/2 + 
       (613*t[61])/2 + (51*t[62])/4 + (481*t[63])/4 - (1405*t[64])/4 - 
       (98*t[65])/3 - (853*t[66])/3 + 3*t[68] - 4*t[72] + 90*t[73] + 
       132*t[74] - 240*t[75] - 60*t[76] - 24*t[77] - 132*t[78] + 12*t[79] - 
       48*t[80] + 29*t[81] - 49*t[82] - 76*t[83] + 4*t[84] - (113*t[85])/2 - 
       282*t[86] - (247*t[87])/2 - (247*t[88])/4 - (447*t[89])/4 - t[91] + 
       6*t[93] + 192*t[98] - 624*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-t[1]/4 + (81*t[2])/4 - (267*t[3])/16 + 
       (419*t[4])/8 + (77*t[5])/2 + (339*t[6])/8 + (191*t[7])/8 + 
       (213*t[8])/8 - 4*t[9] - (1367*t[10])/16 + (589*t[11])/4 + 
       (63*t[12])/16 + (4187*t[13])/48 + (4053*t[14])/32 + (2015*t[15])/96 + 
       (5*t[17])/4 + 4*t[19] + 11*t[20] + 8*t[21] - 21*t[22] - 10*t[23] + 
       6*t[24] - 14*t[27] + 7*t[28] - (7*t[29])/4 - t[30]/2 + t[31] - 
       (15*t[32])/4 + 5*t[33] + (9*t[34])/2 - 13*t[35] + 7*t[36] - 
       (9*t[37])/2 - (5*t[38])/2 + (35*t[39])/2 - 10*t[40] + (15*t[41])/2 - 
       (13*t[42])/2 + 8*t[43] + (87*t[44])/8 - 11*t[45] - (9*t[46])/2 - 
       (17*t[47])/2 + 18*t[48] + (55*t[49])/16 + t[50]/2 + (53*t[51])/32 + 
       9*t[52] - (23*t[53])/16 - (15*t[54])/2 - t[55] - t[56] - 4*t[57] + 
       (13*t[59])/2 + (901*t[60])/4 + (1473*t[61])/4 - (1271*t[62])/16 + 
       (155*t[63])/16 - (743*t[64])/8 - (697*t[65])/8 - (2563*t[66])/8 - 
       (5*t[68])/2 + 2*t[69] - t[70] + t[71] + 21*t[72] + 14*t[73] - 
       (3*t[74])/2 - 10*t[75] + 13*t[76] + (3*t[77])/2 + (13*t[78])/2 - 
       12*t[79] + 74*t[80] + (43*t[81])/2 - (57*t[82])/2 - 49*t[83] + 
       (453*t[84])/8 - (189*t[85])/8 - 90*t[86] - (825*t[87])/8 - 
       (937*t[88])/16 - (885*t[89])/16 + t[95] + 4*t[96] + 2*t[97] + 
       84*t[98] - 10*t[99] - 583*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-5*t[1])/4 + t[2]/2 - (863*t[3])/16 + 
       (161*t[4])/4 - (155*t[5])/8 + (43*t[6])/8 + (353*t[7])/8 + 
       (23*t[8])/8 + (283*t[9])/8 - (87*t[10])/2 + 77*t[11] - (3*t[12])/2 + 
       (2735*t[13])/144 + (883*t[14])/8 + (3251*t[15])/96 + t[17]/4 - t[18] + 
       2*t[19] - 23*t[20] + 4*t[21] + 7*t[22] - t[23] + 2*t[24] + 2*t[25] - 
       t[26] - 8*t[27] + 5*t[28] - (7*t[29])/4 + (3*t[30])/2 + 13*t[31] - 
       (27*t[32])/4 - 8*t[33] + (9*t[34])/2 + 5*t[35] - 5*t[36] - t[37]/2 - 
       t[38]/2 + (37*t[39])/2 + (7*t[40])/2 + 3*t[41] - 3*t[42] - 
       (11*t[43])/4 - (21*t[44])/8 + 2*t[45] - (33*t[47])/2 + (29*t[48])/2 + 
       (47*t[49])/2 + 2*t[50] - (115*t[51])/8 - (25*t[52])/2 - (35*t[53])/2 - 
       (91*t[54])/8 - t[55] + t[56] + (7*t[59])/2 + (211*t[60])/8 + 
       (2439*t[61])/8 - (425*t[62])/8 + (687*t[63])/8 - (1273*t[64])/16 - 
       (77*t[65])/12 - (1883*t[66])/12 + (3*t[67])/2 - t[68]/2 + t[69] - 
       4*t[70] + 4*t[71] + 13*t[72] + 6*t[73] + (23*t[74])/2 - 4*t[75] + 
       11*t[76] + (3*t[77])/2 - (11*t[78])/2 + 19*t[79] + 18*t[80] + 
       20*t[81] - 8*t[82] + 10*t[83] + (71*t[84])/4 - (115*t[85])/4 - 
       36*t[86] - (145*t[87])/4 - (201*t[88])/8 - (503*t[89])/8 - 2*t[93] + 
       t[95] + 8*t[96] + 5*t[97] + 72*t[98] + 2*t[99] - 544*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-19*t[1])/3 + (67*t[2])/3 - (133*t[3])/4 + (61*t[4])/4 - 
       (169*t[5])/6 + (289*t[6])/4 + (117*t[7])/8 + (737*t[8])/24 + 
       (559*t[9])/8 - (367*t[10])/6 + (281*t[11])/8 - (449*t[12])/24 - 
       (463*t[13])/144 + (2131*t[14])/16 + (179*t[15])/16 - 3*t[16] - 
       4*t[18] - (2*t[19])/3 - 26*t[20] + 4*t[21] + 2*t[22] - 4*t[23] + 
       4*t[24] + 8*t[25] - 6*t[26] - 6*t[27] + 10*t[28] + 5*t[29] - 
       16*t[30] + 6*t[31] - 6*t[32] + 2*t[33] + (2*t[34])/3 - 12*t[35] - 
       4*t[36] + 6*t[37] - (19*t[38])/3 + 14*t[39] - (11*t[40])/3 + 
       (5*t[41])/3 - (11*t[42])/3 + (45*t[43])/8 - (17*t[44])/2 + t[45]/4 - 
       (14*t[46])/3 - (55*t[47])/2 + (109*t[48])/24 + (305*t[49])/24 - 
       (871*t[50])/24 - (421*t[51])/48 + (551*t[52])/24 - (305*t[53])/24 + 
       (255*t[54])/8 + 4*t[57] - (10*t[58])/3 + (21*t[59])/2 + 
       (332*t[60])/3 + (1463*t[61])/6 - (71*t[62])/4 + (1927*t[63])/12 - 
       (445*t[64])/6 - (446*t[65])/3 - (503*t[66])/3 + 2*t[67] + 
       (34*t[68])/3 - 18*t[69] + 8*t[70] - 8*t[71] + 6*t[72] + 8*t[73] + 
       28*t[74] - 4*t[75] + (47*t[76])/3 - 10*t[77] + (5*t[78])/3 - 
       10*t[79] - 42*t[80] + (74*t[81])/3 - 40*t[82] - 7*t[83] + 
       (69*t[84])/2 + (11*t[85])/3 - 16*t[86] - 93*t[87] - (281*t[88])/6 - 
       (1163*t[89])/12 + (2*t[90])/3 + 2*t[92] - 2*t[93] - 2*t[94] + 
       (5*t[97])/3 + 48*t[99] - 538*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-19*t[1])/3 - (49*t[2])/6 - (481*t[3])/12 + 
       (625*t[4])/12 - (1487*t[5])/24 + (791*t[6])/24 + (119*t[7])/2 - 
       32*t[8] + (2731*t[9])/24 - (261*t[10])/4 + (1365*t[11])/8 + 
       (971*t[12])/24 + (4355*t[13])/72 + (22967*t[14])/144 + 
       (1459*t[15])/144 + (4*t[16])/3 + 2*t[25] + (22*t[26])/3 - 12*t[27] + 
       12*t[28] + 2*t[29] - 10*t[30] - 8*t[31] + (2*t[32])/3 - (2*t[33])/3 - 
       (4*t[34])/3 - 4*t[35] - (16*t[36])/3 - 16*t[37] - 9*t[38] + 
       (50*t[39])/3 - (4*t[40])/3 + (2*t[41])/3 - (2*t[42])/3 + t[43]/4 + 
       7*t[44] - 7*t[45] + (10*t[46])/3 + (44*t[47])/3 + (127*t[48])/24 - 
       (67*t[49])/3 - (349*t[50])/24 + (299*t[51])/48 + (77*t[52])/24 + 
       (47*t[53])/6 + (11*t[54])/24 - (2*t[58])/3 + (17*t[59])/2 + 
       (3443*t[60])/12 + (2719*t[61])/6 - (1699*t[62])/12 - (341*t[63])/12 - 
       107*t[64] - (1073*t[65])/9 - (2761*t[66])/9 - (4*t[68])/3 - 2*t[69] + 
       4*t[70] - 4*t[71] + 14*t[72] + 6*t[73] + 6*t[74] - 6*t[75] + t[76]/3 + 
       (4*t[77])/3 + (29*t[78])/3 - 14*t[79] + (154*t[80])/3 + 28*t[81] - 
       (158*t[82])/3 - 43*t[83] + (197*t[84])/3 - (59*t[85])/3 - 
       (193*t[86])/3 - (217*t[87])/2 - (157*t[88])/4 - (815*t[89])/24 + 
       (2*t[90])/3 - 8*t[95] + 2*t[96] + (23*t[97])/3 + 48*t[99] - 
       538*t[100]) + HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u]*
      ((301*t[3])/4 + (39*t[4])/2 - (389*t[5])/8 - (47*t[6])/2 + 
       (359*t[7])/2 - (261*t[8])/2 + (1355*t[9])/8 - (1075*t[10])/2 + 
       (729*t[11])/4 + (277*t[12])/8 + (1865*t[13])/36 - (2975*t[14])/24 - 
       (6617*t[15])/48 - (25*t[22])/2 + (25*t[32])/2 + (143*t[43])/4 - 
       (319*t[45])/2 + 319*t[47] - 110*t[60] + 36*t[61] - 223*t[62] + 
       44*t[63] + 858*t[64] - (805*t[65])/6 - (729*t[66])/2 + 11*t[77] + 
       352*t[80] + 11*t[82] + 572*t[86] - 77*t[89] - 504*t[100]) + 
     HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w]*(-6*t[2] - 36*t[3] + (871*t[4])/4 - 
       451*t[5] + (725*t[6])/2 - 338*t[7] + 1046*t[8] + (917*t[9])/2 - 
       (3373*t[10])/8 + (613*t[11])/2 + (3603*t[12])/8 + (2941*t[13])/12 - 
       (83*t[14])/16 - (3147*t[15])/8 + 16*t[18] + (16*t[19])/3 + 128*t[21] - 
       144*t[23] + 48*t[24] - 192*t[31] + 8*t[35] - (9*t[37])/2 + 115*t[41] - 
       115*t[42] - 48*t[43] - 406*t[45] + 880*t[47] + 248*t[48] - 
       (443*t[49])/8 - 240*t[50] + (53*t[51])/16 + 240*t[52] + 
       (443*t[53])/8 + (1141*t[54])/4 - (1443*t[60])/4 + (1225*t[61])/4 - 
       (6893*t[62])/8 - (995*t[63])/8 + (13007*t[64])/8 + (2585*t[65])/4 - 
       (1841*t[66])/4 - 48*t[69] - 96*t[70] + 96*t[71] + 143*t[76] - 
       165*t[78] + 192*t[79] + 336*t[80] + 155*t[81] - 144*t[82] - 64*t[83] + 
       (411*t[84])/4 + (75*t[85])/4 + 234*t[86] + (1673*t[87])/4 + 
       (1673*t[88])/8 + (2703*t[89])/8 - 504*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (8*t[1] - 6*t[2] + (739*t[3])/24 + (259*t[4])/4 + 45*t[5] + 
       (3*t[6])/8 - (509*t[7])/12 + (445*t[8])/12 - (331*t[9])/4 - 
       (25*t[10])/24 + (1217*t[11])/8 + (7*t[12])/8 + (323*t[13])/24 + 
       (9595*t[14])/144 + (775*t[15])/144 + t[17]/6 + 4*t[19] + 4*t[21] - 
       (14*t[23])/3 + (13*t[24])/3 - (38*t[27])/3 + (52*t[28])/3 + 
       (15*t[29])/2 + (50*t[30])/3 - 8*t[31] - (35*t[32])/6 + (34*t[33])/3 - 
       (76*t[34])/3 - 4*t[35] - 8*t[36] - 6*t[37] + 2*t[38] + (49*t[39])/3 - 
       (29*t[40])/6 + (9*t[41])/2 - (9*t[42])/2 - 9*t[43] + (91*t[44])/12 + 
       6*t[45] - 2*t[46] - 18*t[47] + (901*t[48])/24 + (961*t[49])/24 - 
       (835*t[50])/24 - (367*t[51])/16 + (883*t[52])/24 - (769*t[53])/24 - 
       (905*t[54])/24 + (5*t[59])/6 - 5*t[60] + (849*t[61])/4 - 
       (1315*t[62])/12 + (413*t[63])/6 + (1091*t[64])/24 - (265*t[65])/6 - 
       (7331*t[66])/36 - (4*t[68])/3 - 4*t[69] + 2*t[70] - 2*t[71] + 
       (55*t[72])/3 - 16*t[73] + (8*t[74])/3 - 48*t[75] + (80*t[76])/3 + 
       t[77] - (133*t[78])/3 + 5*t[79] + 18*t[80] + 5*t[81] - (25*t[82])/3 - 
       (77*t[83])/3 - (13*t[84])/12 - (689*t[85])/12 + 5*t[86] - 
       (515*t[87])/12 - (587*t[88])/24 - 68*t[89] + (32*t[95])/3 + 11*t[96] + 
       8*t[97] + 72*t[98] - 464*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((-5*t[1])/2 + 15*t[2] - (689*t[3])/24 - 
       (563*t[4])/12 + (163*t[5])/4 + (39*t[6])/4 + (1259*t[7])/12 + 
       (377*t[8])/12 + (143*t[9])/12 - (2713*t[10])/24 - (13*t[11])/3 - 
       (315*t[12])/8 + (2329*t[13])/72 - (5263*t[14])/144 + 
       (2935*t[15])/144 + (3*t[17])/2 - 8*t[18] + 12*t[19] - 28*t[20] + 
       12*t[22] + 4*t[23] - 2*t[24] - (7*t[29])/2 - t[30] - 34*t[31] + 
       (7*t[32])/2 - 10*t[33] + 9*t[34] + 16*t[36] - 5*t[37] - 3*t[38] + 
       9*t[39] - 2*t[40] - 5*t[41] + 5*t[42] - (41*t[43])/6 + (31*t[44])/4 - 
       6*t[45] - t[46] + 5*t[47] + 9*t[48] - (107*t[49])/24 + (47*t[50])/3 + 
       (23*t[51])/48 - (50*t[52])/3 + (11*t[53])/24 - (61*t[54])/3 - 
       2*t[55] - 2*t[56] - 6*t[59] + (385*t[60])/2 + 233*t[61] - 
       (2653*t[62])/24 - (1967*t[63])/24 + (605*t[64])/6 + (505*t[65])/36 - 
       (10513*t[66])/36 + 5*t[67] - 3*t[68] + 16*t[69] + 2*t[70] - 2*t[71] + 
       48*t[72] + 32*t[73] + 13*t[74] - 80*t[75] - 28*t[76] - 11*t[77] + 
       19*t[78] - 36*t[79] + 28*t[80] + 24*t[81] - 30*t[82] - (16*t[83])/3 + 
       (581*t[84])/12 - (515*t[85])/12 + (220*t[86])/3 - (83*t[87])/12 + 
       (109*t[88])/24 - (985*t[89])/24 + 4*t[93] - 10*t[95] - 12*t[96] - 
       2*t[97] - 216*t[98] + 348*t[99] - 460*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((15*t[1])/2 - (93*t[2])/2 - (871*t[3])/8 + (129*t[4])/4 - 55*t[5] + 
       126*t[6] - (459*t[7])/4 + (1383*t[8])/4 - (37*t[9])/2 + 
       (1155*t[10])/8 + (329*t[11])/4 + (665*t[12])/8 + (841*t[13])/72 + 
       (3571*t[14])/16 + (12313*t[15])/144 - (5*t[17])/2 + 4*t[19] + 
       8*t[20] + 12*t[21] - 4*t[22] - 12*t[23] + 14*t[24] - 20*t[27] + 
       (17*t[29])/2 + 7*t[30] + 32*t[31] + (63*t[32])/2 + 26*t[33] - 
       35*t[34] - 16*t[36] - t[37] + 3*t[38] + 3*t[39] - 2*t[40] + 10*t[41] - 
       10*t[42] + (3*t[43])/2 - (81*t[44])/4 + 30*t[45] - 4*t[46] - 
       59*t[47] + (325*t[48])/4 - (39*t[49])/8 - (67*t[50])/4 + 
       (191*t[51])/16 + (143*t[52])/4 + (71*t[53])/8 + (541*t[54])/4 + 
       2*t[55] + 2*t[56] + 19*t[59] + (249*t[60])/2 + 609*t[61] - 
       (1109*t[62])/8 + (2569*t[63])/8 - 151*t[64] - (521*t[65])/4 - 
       (1673*t[66])/12 + 5*t[68] + 10*t[70] - 10*t[71] - 8*t[72] - 32*t[73] + 
       5*t[74] + 80*t[75] - 72*t[76] - 17*t[77] + 121*t[78] + 40*t[79] - 
       24*t[80] - 2*t[81] - 10*t[82] + 8*t[83] + (27*t[84])/4 - 
       (501*t[85])/4 - 114*t[86] - (165*t[87])/4 + (155*t[88])/8 - 
       (863*t[89])/8 - 4*t[93] - 10*t[95] - 4*t[96] + 12*t[97] - 216*t[98] + 
       348*t[99] - 460*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 
       1 - v]*((19*t[1])/2 - (29*t[2])/12 - (565*t[3])/24 + (4003*t[4])/48 - 
       (901*t[5])/12 - (165*t[6])/16 - 11*t[7] - (365*t[8])/6 + 
       (3329*t[9])/24 + (6525*t[10])/32 + (3097*t[11])/48 - (1295*t[12])/32 - 
       (2135*t[13])/144 + (70925*t[14])/576 - (6137*t[15])/288 + 4*t[16] + 
       (23*t[25])/3 + (35*t[26])/3 + (34*t[27])/3 + (88*t[28])/3 + 
       (8*t[29])/3 + (283*t[30])/12 - (46*t[31])/3 + (5*t[34])/3 - 39*t[35] - 
       3*t[36] - 4*t[37] + (19*t[38])/2 + (299*t[39])/12 + (25*t[40])/12 - 
       t[41]/3 + t[42]/3 - (73*t[43])/6 - (77*t[44])/12 + 13*t[45] + 
       (127*t[46])/12 - 26*t[47] - (447*t[48])/16 + (863*t[49])/32 + 
       (13*t[50])/16 - (5569*t[51])/192 - (7*t[52])/48 - (591*t[53])/32 - 
       (21*t[54])/8 - (2*t[58])/3 - (21*t[59])/4 + (8687*t[60])/48 + 
       (2069*t[61])/16 - (13829*t[62])/96 + (3295*t[63])/32 - 
       (9541*t[64])/96 - (34207*t[65])/144 - (12071*t[66])/48 - t[67]/2 - 
       3*t[68] + 2*t[69] + t[70] - t[71] - 23*t[72] + 114*t[73] + 26*t[74] - 
       156*t[75] + (875*t[76])/12 + (5*t[77])/3 - (290*t[78])/3 + 67*t[79] - 
       30*t[80] + (106*t[81])/3 - (353*t[82])/6 - (11*t[83])/2 + 
       (313*t[84])/48 + (185*t[85])/48 - (116*t[86])/3 - (1953*t[87])/16 - 
       (2257*t[88])/32 - (2035*t[89])/96 + t[90] - t[91]/3 + 2*t[93] + 
       4*t[95] + 2*t[96] - (4*t[97])/3 + 266*t[98] - 110*t[99] - 
       427*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((3*t[1])/4 + (79*t[2])/12 - (497*t[3])/16 + (1249*t[4])/12 - 
       (7289*t[5])/96 - (14*t[6])/3 + (379*t[7])/48 + (961*t[8])/48 + 
       (6053*t[9])/96 + (1925*t[10])/48 + (1697*t[11])/12 + (2569*t[12])/96 + 
       (55451*t[13])/864 + (13217*t[14])/96 + (22457*t[15])/576 + 3*t[18] + 
       2*t[19] + 2*t[21] - 4*t[22] - 3*t[23] + 6*t[24] + 23*t[25] + 
       (16*t[26])/3 + (10*t[27])/3 + (76*t[28])/3 + (29*t[29])/12 + 
       (319*t[30])/12 - 8*t[31] - (4*t[32])/3 + (4*t[33])/3 + (8*t[34])/3 - 
       34*t[35] - 4*t[36] + 2*t[37] + (223*t[39])/12 + (65*t[40])/12 + 
       (7*t[41])/6 - t[42]/6 - (367*t[43])/24 + (19*t[44])/12 + 
       (43*t[45])/3 + 14*t[46] - 22*t[47] - (761*t[48])/48 - (95*t[49])/6 - 
       (103*t[50])/16 - (43*t[51])/3 + (53*t[52])/48 + (95*t[53])/6 + 
       (1333*t[54])/48 + t[58]/3 - (73*t[59])/12 + (5059*t[60])/24 + 
       (6263*t[61])/24 - (1621*t[62])/48 + (3377*t[63])/48 - 
       (2255*t[64])/16 - (5369*t[65])/36 - (9013*t[66])/36 - t[67]/2 + 
       3*t[68] - t[70] + t[71] - 22*t[72] + 100*t[73] + 41*t[74] - 77*t[75] + 
       (443*t[76])/12 - (41*t[77])/2 - (20*t[78])/3 + 7*t[79] - 
       (295*t[80])/6 + 21*t[81] - (275*t[82])/4 - (189*t[83])/2 + 
       (205*t[84])/8 - (679*t[85])/24 - 148*t[86] - (2785*t[87])/24 - 
       (2785*t[88])/48 - (105*t[89])/16 + t[90] - t[91]/3 + 2*t[93] + 
       (2*t[97])/3 + 266*t[98] - 110*t[99] - 427*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*(t[1]/2 + 6*t[2] + 
       (11*t[3])/4 + (29*t[4])/2 - (41*t[5])/8 - 6*t[6] + (129*t[7])/4 - 
       (51*t[8])/4 - (175*t[9])/8 - (129*t[10])/2 + 59*t[11] - (73*t[12])/8 + 
       (1261*t[13])/72 - (223*t[14])/12 + (611*t[15])/144 - 2*t[27] - 
       12*t[28] - 4*t[29] - 2*t[31] - 8*t[39] + 3*t[40] + (5*t[43])/2 + 
       6*t[44] - 4*t[45] - 2*t[46] + 8*t[47] + (13*t[48])/4 + (11*t[49])/4 + 
       (45*t[50])/4 + (21*t[51])/8 - (45*t[52])/4 - (11*t[53])/4 - 
       (79*t[54])/4 + t[59]/2 - (103*t[60])/2 + (119*t[61])/2 - 32*t[62] + 
       9*t[63] + 97*t[64] - 3*t[65] - (193*t[66])/6 + 4*t[72] - 16*t[73] + 
       12*t[75] - 7*t[77] - 8*t[78] + 4*t[79] + 14*t[80] + 8*t[81] - 
       (5*t[82])/2 + 20*t[83] - 8*t[84] - 8*t[85] + 84*t[86] + 20*t[87] + 
       10*t[88] - 25*t[89] + 48*t[98] - 24*t[99] - 403*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*(3*t[1] + 35*t[2] - 
       (361*t[3])/4 + 28*t[4] - (29*t[5])/2 + (737*t[6])/8 + (551*t[7])/4 - 
       (127*t[8])/4 + 37*t[9] + 117*t[10] + (1253*t[11])/8 + (133*t[12])/4 + 
       (2453*t[13])/24 + (1747*t[14])/8 + (4489*t[15])/72 + 2*t[16] - 
       3*t[17] + 20*t[20] - 2*t[21] - 18*t[22] + 2*t[23] - 10*t[24] + 
       4*t[25] + (33*t[26])/2 - 12*t[27] + 16*t[28] - 19*t[29] - 46*t[30] + 
       4*t[31] - 14*t[32] + 30*t[34] + 2*t[35] - 16*t[36] - 5*t[37] + 
       3*t[38] + 12*t[39] + 8*t[40] + t[41] - t[42] + (53*t[43])/4 + 
       (23*t[44])/2 - (89*t[45])/2 - 14*t[46] + 9*t[47] - (175*t[48])/8 + 
       (13*t[49])/4 + (269*t[50])/8 + (3*t[51])/4 - (205*t[52])/8 - 
       (21*t[53])/4 + (387*t[54])/8 - 4*t[56] - 4*t[57] - (7*t[58])/2 - 
       t[59]/2 + 163*t[60] + 266*t[61] - (449*t[62])/4 - (263*t[63])/4 - 
       (1167*t[64])/4 + (130*t[65])/3 - (1501*t[66])/6 + 2*t[68] + 8*t[69] + 
       58*t[72] + 40*t[74] - (71*t[76])/2 - (107*t[78])/2 - 16*t[79] + 
       16*t[80] + 19*t[81] + 18*t[82] + 10*t[83] + (125*t[84])/2 + 
       (71*t[85])/2 - 21*t[86] - (177*t[87])/2 - (177*t[88])/4 - 
       (183*t[89])/2 - t[91]/3 + 4*t[93] + 2*t[97] + 48*t[98] - 24*t[99] - 
       403*t[100]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-9*t[1] + (21*t[2])/4 - (463*t[3])/16 + (25*t[4])/8 + (113*t[5])/4 + 
       (755*t[6])/16 - 26*t[7] + (181*t[8])/4 - (511*t[9])/8 + 
       (35*t[10])/16 - (509*t[11])/16 - (719*t[12])/16 - (61*t[13])/4 + 
       (891*t[14])/32 + (17395*t[15])/288 - t[16]/2 + (3*t[17])/4 - 6*t[18] - 
       4*t[19] + t[20] - 2*t[21] - t[22] + 2*t[23] - 4*t[24] - (5*t[25])/2 + 
       (15*t[26])/2 - 18*t[27] + 2*t[28] + (33*t[29])/4 + t[30]/2 + 4*t[31] - 
       (47*t[32])/4 + 9*t[33] - 6*t[34] - 2*t[35] + t[37]/2 - 7*t[38] + 
       5*t[40] + t[41]/4 - (13*t[42])/4 + (83*t[43])/8 - (177*t[44])/8 + 
       (37*t[45])/4 - (19*t[46])/4 - (83*t[47])/2 + (511*t[48])/16 + 
       (567*t[49])/16 + (271*t[50])/16 - (235*t[51])/32 - (95*t[52])/16 - 
       (207*t[53])/16 + (317*t[54])/16 - (3*t[55])/2 - 2*t[58] + 
       (25*t[59])/2 - (397*t[60])/8 + (475*t[61])/4 + (817*t[62])/8 + 
       (1651*t[63])/8 + (197*t[64])/8 - (3055*t[65])/24 + (17*t[66])/24 - 
       t[67] - 3*t[68] + 4*t[69] + 5*t[70] - 5*t[71] + 9*t[72] + t[74]/2 + 
       6*t[75] - (17*t[76])/2 - (5*t[77])/2 + (29*t[78])/2 - t[80] + 
       (35*t[81])/4 - (93*t[82])/4 - 9*t[83] - (59*t[84])/8 - (127*t[85])/4 - 
       80*t[86] + 7*t[87] - 29*t[88] - (923*t[89])/16 - t[92] + t[94] + 
       7*t[95] + 4*t[96] - 5*t[97] - 24*t[98] + 58*t[99] - 353*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*(2*t[1] + (135*t[2])/8 - 
       (267*t[3])/16 + (93*t[4])/4 + 61*t[5] + (217*t[6])/8 + (37*t[7])/2 + 
       (267*t[8])/2 - (103*t[9])/2 - (111*t[10])/8 + 118*t[11] + 23*t[12] + 
       (5125*t[13])/72 + (1147*t[14])/12 + (6427*t[15])/288 + t[16]/2 + 
       t[17]/2 + 9*t[18] + 2*t[19] + 23*t[20] + 16*t[21] - 7*t[22] - 
       21*t[23] + 15*t[24] + t[25]/2 + 4*t[26] - (7*t[27])/2 + (5*t[29])/4 + 
       (5*t[30])/2 - 6*t[31] + (13*t[32])/4 - 2*t[33] + 2*t[34] - 8*t[35] - 
       2*t[36] + t[37]/2 - 2*t[38] + (27*t[39])/2 + t[40] + (63*t[41])/4 - 
       (51*t[42])/4 - (137*t[43])/8 - (81*t[44])/8 + (37*t[45])/4 - 
       (13*t[46])/4 - (23*t[47])/2 + (239*t[48])/8 - (13*t[49])/2 - 
       (73*t[50])/8 + (13*t[51])/4 + (65*t[52])/8 - (97*t[54])/4 - t[55] + 
       t[58]/2 + (11*t[59])/2 + (739*t[60])/4 + (1229*t[61])/4 - 
       (3161*t[62])/16 - (2787*t[63])/16 + (139*t[64])/8 + (3329*t[65])/24 - 
       (4193*t[66])/24 - (9*t[68])/2 - t[69] - 8*t[70] + 8*t[71] + 33*t[72] - 
       (11*t[74])/2 + 2*t[75] - 7*t[76] + (43*t[77])/2 + (31*t[78])/2 + 
       8*t[79] + 23*t[80] + 4*t[81] + (15*t[82])/2 - 15*t[83] + 
       (381*t[84])/8 - (187*t[85])/8 + 4*t[86] - (315*t[87])/8 + 
       (21*t[88])/16 + (617*t[89])/16 - (3*t[92])/2 + (3*t[94])/2 - 5*t[95] - 
       5*t[96] + 2*t[97] - 24*t[98] + 58*t[99] - 353*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*(6*t[1] + (9*t[2])/2 + 
       12*t[3] - (147*t[4])/4 + (451*t[5])/8 - (13*t[6])/2 - (51*t[7])/4 - 
       (95*t[8])/4 - (241*t[9])/8 + (93*t[10])/8 + (17*t[11])/2 - 
       (39*t[12])/4 + (23*t[13])/6 + (155*t[14])/16 - (39*t[15])/16 + 
       2*t[22] + 39*t[28] - 12*t[30] + 3*t[31] - 2*t[32] - 12*t[35] + 
       10*t[36] + 16*t[39] - 8*t[40] + (27*t[43])/2 - 11*t[44] + 
       (27*t[45])/2 - (9*t[46])/2 - 24*t[47] + (97*t[48])/4 + (29*t[49])/8 - 
       (15*t[50])/4 + (5*t[51])/16 + (15*t[52])/4 - (29*t[53])/8 - 7*t[54] + 
       6*t[59] - 11*t[60] + 96*t[61] - (91*t[62])/4 + (311*t[63])/4 + 
       (51*t[64])/4 - (25*t[65])/2 - (215*t[66])/2 + 14*t[77] + 33*t[80] - 
       2*t[82] - 79*t[86] - (41*t[89])/2 + 216*t[98] - 126*t[99] - 
       297*t[100]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((105*t[1])/4 - 54*t[2] - 34*t[3] + 33*t[4] + (751*t[5])/8 + 
       (401*t[6])/8 + (463*t[7])/8 + (1453*t[8])/8 + (25*t[9])/4 - 
       (37*t[10])/8 + (787*t[11])/4 - (527*t[12])/8 + (34739*t[13])/144 + 
       (641*t[14])/3 + (327*t[15])/8 - (3*t[17])/2 + 18*t[18] + 3*t[19] + 
       3*t[20] + 21*t[21] - 21*t[23] + 18*t[24] + 3*t[25] - 18*t[26] + 
       9*t[27] - 3*t[28] - t[29] - 24*t[30] - 3*t[31] - 6*t[32] + 6*t[33] + 
       (45*t[34])/2 + 6*t[35] - 9*t[36] - 11*t[37] + (39*t[38])/2 - 9*t[39] + 
       18*t[40] + (15*t[41])/4 + (21*t[42])/4 - (75*t[43])/8 + 21*t[44] + 
       (29*t[45])/4 - 26*t[46] - (13*t[47])/2 + (75*t[48])/4 + 
       (255*t[49])/4 - (221*t[50])/4 - (45*t[51])/8 + (59*t[52])/4 - 
       (243*t[53])/4 + (93*t[54])/4 - 3*t[58] - 21*t[59] + (199*t[60])/2 + 
       350*t[61] + (307*t[62])/8 - (799*t[63])/8 - (2251*t[64])/8 + 
       (151*t[65])/12 - (1129*t[66])/4 + (3*t[67])/2 + 3*t[68] - 18*t[70] + 
       18*t[71] + 24*t[72] - 10*t[73] - 9*t[74] + 80*t[75] + 42*t[76] + 
       12*t[77] - 18*t[78] - 22*t[79] + 139*t[80] - 10*t[81] - (5*t[82])/2 - 
       107*t[83] - (69*t[84])/4 + (61*t[85])/4 - 178*t[86] - (325*t[87])/4 - 
       (325*t[88])/8 + (61*t[89])/4 + (3*t[92])/2 - (3*t[94])/2 - 
       (9*t[97])/2 + 216*t[98] - 126*t[99] - 297*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((293*t[1])/72 - (313*t[2])/36 - (453*t[3])/32 + (559*t[4])/18 + 
       (13213*t[5])/576 - (17165*t[6])/288 + (33001*t[7])/288 - 
       (12833*t[8])/288 + (51935*t[9])/576 - (18139*t[10])/288 + 
       (83801*t[11])/288 + (29071*t[12])/576 + (710669*t[13])/5184 + 
       (41899*t[14])/576 - (35089*t[15])/3456 + 4*t[18] + 3*t[20] + 7*t[21] - 
       19*t[22] - 7*t[23] + 4*t[24] + 4*t[25] - (61*t[26])/9 - (67*t[27])/9 - 
       (28*t[28])/9 + (40*t[29])/9 + (61*t[30])/18 - (35*t[31])/3 - 
       (14*t[32])/9 + (14*t[33])/9 + (151*t[34])/9 - (86*t[35])/3 + 5*t[36] + 
       (19*t[37])/3 - (55*t[39])/9 + (83*t[40])/18 + (119*t[41])/18 - 
       (28*t[42])/9 + (2045*t[43])/144 + (122*t[44])/9 - (2633*t[45])/72 + 
       (43*t[46])/12 + (769*t[47])/12 - (5251*t[48])/144 + (2485*t[49])/144 + 
       (85*t[50])/16 - (1987*t[51])/288 - (2621*t[52])/144 - 
       (1909*t[53])/144 - (7231*t[54])/144 - (7*t[58])/9 + (223*t[59])/24 + 
       (3521*t[60])/18 + (12599*t[61])/36 - (23173*t[62])/72 - 
       (145*t[63])/18 + (3359*t[64])/12 - (16051*t[65])/432 - 
       (224417*t[66])/432 + (19*t[69])/3 - 8*t[70] + 8*t[71] + 
       (103*t[73])/3 - 10*t[74] - (109*t[75])/3 + (1007*t[76])/18 + 
       (21*t[77])/4 - (803*t[78])/18 + (1409*t[80])/9 + (61*t[81])/2 - 
       (473*t[82])/12 - (71*t[83])/2 + (83*t[84])/6 + (1295*t[85])/36 + 
       (189*t[86])/2 - (4801*t[87])/36 - (4837*t[88])/72 - (727*t[89])/24 + 
       6*t[96] + (70*t[97])/9 + (1405*t[98])/3 - (1519*t[99])/3 - 
       (877*t[100])/3) + HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*
      ((-7*t[1])/4 - (171*t[2])/8 - (79*t[3])/4 + (351*t[4])/4 + 
       (1361*t[5])/16 - (333*t[6])/16 - (103*t[7])/8 - (283*t[8])/8 - 
       (1655*t[9])/16 + 62*t[10] + (1027*t[11])/16 - (1379*t[12])/16 + 
       (2819*t[13])/36 - (613*t[14])/16 + (5495*t[15])/96 - (13*t[22])/2 - 
       (17*t[32])/2 + (9*t[33])/2 - 18*t[34] - 24*t[35] - 10*t[36] + 
       (9*t[38])/2 - (9*t[39])/2 + (45*t[40])/4 + (9*t[41])/4 - (9*t[42])/4 + 
       3*t[43] + (51*t[45])/2 - 8*t[46] - (165*t[47])/4 - (75*t[48])/16 + 
       (311*t[49])/8 + (405*t[50])/16 - (9*t[51])/16 - (717*t[52])/16 - 
       (311*t[53])/8 - (849*t[54])/16 + (49*t[59])/8 + (513*t[60])/8 + 
       (39*t[61])/8 - (289*t[62])/16 - (1755*t[63])/16 - (2993*t[64])/16 + 
       (323*t[65])/8 - (475*t[66])/24 - 24*t[73] + 50*t[75] - (63*t[76])/4 - 
       8*t[77] + 9*t[78] - 10*t[79] - (31*t[80])/2 - (59*t[81])/4 + 
       (49*t[82])/4 + (123*t[84])/8 - (213*t[85])/8 - 34*t[86] - 
       (235*t[87])/8 - (235*t[88])/16 + (689*t[89])/16 - (9*t[97])/4 + 
       108*t[98] - 60*t[99] - 267*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*((-5*t[1])/2 + 39*t[2] - 80*t[3] + 
       (2203*t[4])/8 - (701*t[5])/8 + (273*t[6])/16 + (291*t[7])/4 + 
       (83*t[8])/4 + (309*t[9])/4 + (2303*t[10])/16 + (4483*t[11])/16 - 
       (1299*t[12])/16 + (7045*t[13])/72 + (5033*t[14])/32 + 
       (4535*t[15])/48 - 3*t[17] + (35*t[19])/6 - 12*t[21] + 12*t[23] + 
       12*t[24] + 10*t[26] + 18*t[31] - (27*t[34])/2 - 48*t[35] - 22*t[37] - 
       (13*t[38])/4 + (27*t[39])/4 - (21*t[41])/4 + (21*t[42])/4 + 18*t[43] + 
       38*t[45] + (9*t[46])/4 - 86*t[47] - (153*t[48])/16 + (1753*t[49])/16 - 
       (489*t[50])/16 - (1181*t[51])/32 + (273*t[52])/16 - (1365*t[53])/16 - 
       (1309*t[54])/16 - (19*t[59])/4 + (551*t[60])/4 + (235*t[61])/4 + 
       (373*t[62])/4 + (47*t[63])/2 - (3249*t[64])/8 - (991*t[65])/12 - 
       (305*t[66])/6 + 3*t[67] + 12*t[69] + 36*t[74] - 12*t[75] - 28*t[76] + 
       (9*t[77])/2 - (25*t[78])/2 - 67*t[79] - 3*t[80] + 3*t[81] - 
       (37*t[82])/2 + 22*t[83] - (35*t[84])/2 - (31*t[85])/2 + 25*t[86] - 
       (493*t[87])/4 - (493*t[88])/8 - (301*t[89])/8 - 3*t[94] + 
       (27*t[96])/2 + 9*t[97] + 108*t[98] - 60*t[99] - 267*t[100]) + 
     HPL[{0, 1}, 1 - w]*Qep[v, w, u]*((32*t[1])/3 + (104*t[2])/3 - 128*t[3] + 
       (170*t[4])/3 - 100*t[5] + (640*t[6])/3 + 96*t[7] + (1072*t[8])/3 + 
       84*t[9] + 3*t[10] + (452*t[11])/3 + (137*t[12])/3 + (158*t[13])/3 + 
       (503*t[14])/2 + (415*t[15])/9 + (80*t[26])/3 + (128*t[28])/3 - 
       (32*t[30])/3 - (128*t[31])/3 - (32*t[34])/3 - (64*t[35])/3 - 
       (64*t[37])/3 - 16*t[38] + (64*t[39])/3 - (64*t[40])/3 + (16*t[41])/3 - 
       (16*t[42])/3 - (64*t[44])/3 - (64*t[46])/3 + 104*t[48] + 
       (59*t[49])/3 + 8*t[50] - (21*t[51])/2 + (136*t[52])/3 - 25*t[53] + 
       (46*t[54])/3 + (32*t[58])/3 + 24*t[59] + 90*t[60] + (1294*t[61])/3 - 
       (61*t[62])/3 - (1051*t[63])/3 - (161*t[64])/3 + (158*t[65])/3 - 
       (2242*t[66])/9 + (128*t[72])/3 + (32*t[74])/3 + (128*t[75])/3 - 
       96*t[76] - (32*t[77])/3 + 128*t[78] - 96*t[79] - (16*t[81])/3 - 
       (128*t[82])/3 - (224*t[83])/3 + (218*t[84])/3 - 66*t[85] - 32*t[86] + 
       (218*t[87])/3 + (109*t[88])/3 + (349*t[89])/3 - (32*t[97])/3 - 
       448*t[98] + 448*t[99] - 256*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*(11*t[1] - (115*t[2])/8 + 
       (55*t[3])/4 + (137*t[4])/4 - (643*t[5])/8 - (277*t[6])/8 + 
       (1105*t[7])/16 - (1065*t[8])/16 + (1385*t[9])/16 - (2279*t[10])/16 + 
       (2457*t[11])/16 + (87*t[12])/2 + (5113*t[13])/96 + (63*t[14])/8 - 
       (2933*t[15])/96 - 2*t[16] - (5*t[17])/4 + 3*t[18] + 2*t[19] - 
       8*t[20] - t[21] - 11*t[22] + t[23] + t[25]/2 - t[26] - (13*t[27])/2 - 
       13*t[28] - 2*t[29] - 13*t[30] - 3*t[31] - 3*t[32] + (23*t[34])/2 + 
       8*t[35] - 8*t[36] - 6*t[37] - t[38] - 4*t[39] - (5*t[40])/2 - 
       2*t[41] + (9*t[42])/2 - (31*t[43])/16 + 6*t[44] - (185*t[45])/8 + 
       5*t[46] + (179*t[47])/4 - (537*t[48])/16 + (19*t[49])/8 + 
       (71*t[50])/16 - (57*t[51])/16 - (207*t[52])/16 - (19*t[53])/8 - 
       (315*t[54])/16 + 2*t[58] + (5*t[59])/2 + (217*t[60])/4 + 115*t[61] - 
       (709*t[62])/8 + (53*t[63])/8 + (281*t[64])/2 + (5*t[65])/12 - 
       (3097*t[66])/12 + 2*t[67] + 6*t[68] - 6*t[69] - 8*t[70] + 8*t[71] - 
       4*t[72] + 16*t[73] + 7*t[74] - 32*t[75] + 26*t[76] - 11*t[77] - 
       29*t[78] + 12*t[79] + 69*t[80] + 21*t[81] - 13*t[82] + 8*t[83] + 
       (29*t[84])/4 + (87*t[85])/4 + (159*t[86])/2 - (231*t[87])/4 - 
       (231*t[88])/8 - (319*t[89])/8 + (5*t[92])/2 - 2*t[93] - (5*t[94])/2 + 
       2*t[97] + 132*t[98] - 122*t[99] - 248*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-7*t[1])/2 + (33*t[2])/2 - (45*t[3])/4 - (117*t[4])/8 - 
       (221*t[5])/16 + (15*t[6])/4 + (165*t[7])/4 - (13*t[8])/4 + 
       (745*t[9])/16 + (113*t[10])/4 + (109*t[11])/4 + (171*t[12])/16 - 
       (79*t[13])/9 + (6245*t[14])/96 + (497*t[15])/32 + t[16]/2 + 2*t[19] + 
       2*t[21] - 2*t[23] - (5*t[25])/2 + (17*t[26])/2 + t[27] - t[28] - 
       t[29] - 4*t[30] - 8*t[31] - (5*t[34])/2 - 14*t[35] - t[36]/2 - 
       (15*t[37])/2 - 5*t[38] + 8*t[39] - 2*t[40] + (5*t[41])/4 - 
       (5*t[42])/4 - t[43] + 4*t[44] + (5*t[45])/2 - (5*t[46])/4 - 11*t[47] - 
       (19*t[48])/2 + (95*t[49])/8 + 11*t[50] - (289*t[51])/32 - 
       (19*t[52])/2 + (3*t[53])/8 + (23*t[54])/8 - t[58]/2 + 3*t[59] - 
       (257*t[60])/4 + 139*t[61] - (817*t[62])/16 + (621*t[63])/16 - 
       (363*t[64])/4 + (443*t[65])/24 - (1703*t[66])/24 - t[67]/2 - t[68]/2 - 
       8*t[69] - 5*t[70] + 5*t[71] + 4*t[72] + 6*t[73] + (13*t[74])/2 - 
       10*t[75] + 20*t[76] + t[77]/2 - (63*t[78])/2 + 19*t[79] + 22*t[80] + 
       (29*t[81])/2 - t[82]/2 + 17*t[83] - (45*t[84])/8 - (55*t[85])/8 + 
       4*t[86] - (167*t[87])/8 - (407*t[88])/16 - (657*t[89])/16 - 2*t[93] + 
       3*t[95] + 10*t[96] + 3*t[97] + 132*t[98] - 122*t[99] - 248*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*(-2*t[1] - (21*t[2])/8 - 
       26*t[3] + (11*t[4])/4 + 27*t[5] + (17*t[6])/8 - (165*t[7])/16 + 
       (125*t[8])/16 - (163*t[9])/16 + (795*t[10])/16 - (445*t[11])/16 - 
       (149*t[12])/8 + (617*t[13])/32 + (17*t[14])/6 + (649*t[15])/32 + 
       (5*t[17])/4 - t[18] - 18*t[20] - t[21] + t[22] + t[23] - 4*t[24] + 
       (3*t[25])/2 - 2*t[26] + (5*t[27])/2 - 16*t[28] + 9*t[29] + 7*t[30] - 
       2*t[31] + t[32] - 2*t[33] - (9*t[34])/2 + t[38] - 6*t[39] + 
       (19*t[40])/2 - t[42]/2 + (31*t[43])/16 + (7*t[44])/2 + (73*t[45])/8 - 
       2*t[46] - (59*t[47])/4 + (45*t[48])/16 - (19*t[49])/8 - 
       (123*t[50])/16 + (97*t[51])/16 - (109*t[52])/16 + (19*t[53])/8 + 
       (39*t[54])/16 + 4*t[57] + t[59]/2 + (25*t[60])/2 + (97*t[61])/4 - 
       4*t[62] + 15*t[63] - (259*t[64])/8 - (49*t[65])/3 + (3*t[66])/2 + 
       2*t[70] - 2*t[71] + t[74] - 2*t[76] + 2*t[77] + 2*t[78] - 7*t[80] + 
       t[81] + (3*t[84])/2 - (5*t[85])/2 - (31*t[86])/2 - t[87]/2 - t[88]/4 - 
       (5*t[89])/4 - t[92]/2 + t[94]/2 - 108*t[98] + 174*t[99] - 
       238*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((9*t[1])/2 - 29*t[3] + (13*t[4])/8 - (991*t[5])/48 + (281*t[6])/12 + 
       (3*t[7])/4 + (749*t[8])/12 + (2423*t[9])/48 - (369*t[10])/4 + 
       (1435*t[11])/12 + (1721*t[12])/48 + (3935*t[13])/72 + 
       (28625*t[14])/288 + (7729*t[15])/288 + (3*t[16])/2 + (4*t[24])/3 + 
       (41*t[25])/2 - (45*t[26])/2 - 3*t[27] + 14*t[28] - 8*t[29] - 
       22*t[30] + (13*t[31])/3 + (3*t[34])/2 + 4*t[35] + t[36]/2 - 
       (11*t[37])/2 + t[38] + 10*t[39] + 4*t[40] - (3*t[41])/4 + 
       (3*t[42])/4 - (13*t[43])/3 + 7*t[44] - (3*t[45])/2 + (21*t[46])/4 + 
       (61*t[48])/6 - (1325*t[49])/24 - (71*t[50])/3 + (2095*t[51])/96 + 
       (79*t[52])/6 + (899*t[53])/24 + (341*t[54])/8 - t[58]/2 - 5*t[59] + 
       132*t[60] + (1883*t[61])/12 - (3419*t[62])/48 - (547*t[63])/16 + 
       (159*t[64])/8 - (575*t[65])/72 - (10741*t[66])/72 + (5*t[67])/2 - 
       (3*t[68])/2 + t[70] - t[71] + 24*t[72] + 16*t[73] + (15*t[74])/2 - 
       40*t[75] - 14*t[76] - (3*t[77])/2 + (19*t[78])/2 - 22*t[79] + 
       14*t[80] + (25*t[81])/2 - (31*t[82])/2 - (16*t[83])/3 + 
       (581*t[84])/24 - (473*t[85])/24 + (40*t[86])/3 - (493*t[87])/24 - 
       (301*t[88])/48 - (277*t[89])/16 + 2*t[93] - 5*t[95] - 6*t[96] - 
       t[97] - 108*t[98] + 174*t[99] - 238*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[u, v, w]*(8*t[2] - (208*t[3])/9 - 
       (200*t[4])/9 + (152*t[5])/9 + (208*t[6])/3 + (176*t[7])/9 + 
       (880*t[8])/9 + (256*t[9])/3 - (20*t[10])/3 + (104*t[11])/9 + 
       (68*t[12])/9 - (1664*t[13])/27 + (362*t[14])/3 + (52*t[15])/9 - 
       (128*t[27])/9 + (256*t[28])/9 + (128*t[29])/9 - (128*t[30])/9 - 
       (128*t[31])/3 - 64*t[35] + (64*t[37])/3 + (128*t[39])/9 - 
       (128*t[44])/9 - (16*t[46])/3 + (512*t[48])/9 + (20*t[49])/3 - 
       (256*t[50])/9 - (26*t[51])/9 + (256*t[52])/9 - (20*t[53])/3 + 
       40*t[54] + (32*t[59])/3 + (880*t[60])/9 + (160*t[61])/3 - 
       (52*t[62])/3 + (1628*t[63])/9 - (472*t[64])/9 + (3640*t[65])/27 + 
       (632*t[66])/27 - (128*t[72])/9 - (32*t[73])/3 + (128*t[75])/3 + 
       (64*t[78])/3 + (256*t[81])/9 - (320*t[82])/9 - (896*t[83])/9 + 
       (416*t[84])/9 - (256*t[85])/9 - (64*t[86])/3 - (704*t[87])/9 - 
       (352*t[88])/9 + (152*t[89])/9 - (704*t[100])/3) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w]*(9*t[1] - (47*t[2])/2 + 
       41*t[3] + (373*t[4])/8 - 5*t[5] - (363*t[6])/4 + (21*t[7])/2 - 
       (421*t[8])/2 + (91*t[9])/2 + (393*t[10])/16 + 98*t[11] + 
       (789*t[12])/16 + (1109*t[13])/24 - (2029*t[14])/96 - (2107*t[15])/48 + 
       12*t[19] + 12*t[20] + 12*t[21] - 12*t[22] - 12*t[23] - 8*t[25] - 
       11*t[26] + 8*t[27] - 16*t[28] - 20*t[29] + 26*t[30] - 8*t[31] + 
       4*t[34] - 60*t[35] - 18*t[36] - 12*t[37] + 15*t[38] - 8*t[39] + 
       8*t[40] + 10*t[41] - 10*t[42] - 4*t[43] + 8*t[44] - (29*t[46])/2 - 
       (405*t[48])/4 - (261*t[49])/16 + (51*t[50])/4 + (1661*t[51])/32 - 
       (131*t[52])/4 + (309*t[53])/16 - (63*t[54])/8 - 4*t[58] - 
       (11*t[59])/2 + (539*t[60])/8 - (1245*t[61])/8 - (3341*t[62])/16 - 
       (1491*t[63])/16 + (3527*t[64])/16 - (5527*t[65])/24 - (1287*t[66])/8 + 
       12*t[72] - 18*t[74] - 60*t[75] + 58*t[76] + 4*t[77] - 136*t[78] + 
       96*t[79] + 12*t[80] + 14*t[81] + t[82] + 72*t[83] - (455*t[84])/8 + 
       (5*t[85])/8 + 212*t[86] - (1011*t[87])/8 - (1011*t[88])/16 - 
       (1327*t[89])/16 + 4*t[97] + 300*t[98] - 300*t[99] - 228*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((-19*t[1])/2 + (7*t[2])/2 - (513*t[3])/8 + (19*t[4])/2 + 
       (1105*t[5])/16 - (197*t[6])/8 - (119*t[7])/8 + (679*t[8])/8 - 
       (2713*t[9])/16 + (2483*t[10])/8 + (371*t[11])/8 - (881*t[12])/16 + 
       (10835*t[13])/144 + (1073*t[14])/16 + (11611*t[15])/96 - 4*t[26] + 
       8*t[27] - 40*t[28] - 8*t[29] + 38*t[30] - 8*t[32] + 8*t[33] + 
       4*t[34] - 36*t[35] - 28*t[39] + 28*t[40] - 2*t[41] + 2*t[42] - 
       (7*t[43])/4 + 8*t[44] + (109*t[45])/2 + 9*t[46] - 117*t[47] - 
       (125*t[48])/2 + (11*t[49])/2 + (3*t[50])/2 - t[51]/2 - (43*t[52])/2 - 
       (11*t[53])/2 - (41*t[54])/2 - 4*t[58] - (3*t[59])/2 + 70*t[60] + 
       101*t[61] - (41*t[62])/4 + (577*t[63])/4 - (1101*t[64])/4 - 
       (43*t[65])/12 + (187*t[66])/12 + 28*t[76] - 9*t[77] - 16*t[78] - 
       85*t[80] + 12*t[81] - (45*t[82])/2 - 6*t[84] + 26*t[85] - 159*t[86] - 
       58*t[87] - 29*t[88] - 9*t[89] + 4*t[97] + 300*t[98] - 300*t[99] - 
       228*t[100]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((41*t[1])/4 - 17*t[2] - (299*t[3])/8 + (1117*t[4])/6 - 
       (2179*t[5])/16 + (939*t[6])/8 - (191*t[7])/2 - (343*t[8])/4 + 
       (1277*t[9])/16 + (355*t[10])/8 - (43*t[11])/8 - (2321*t[12])/48 - 
       (2807*t[13])/144 + (905*t[14])/24 - (3515*t[15])/96 - (9*t[17])/2 + 
       (31*t[18])/3 + (22*t[19])/3 - 11*t[21] + 19*t[23] - 5*t[24] + 
       6*t[27] - 15*t[31] + t[32] - t[33] + (7*t[34])/2 + 53*t[35] - 
       (32*t[37])/3 - t[38] + t[39] - (7*t[40])/2 + (33*t[41])/4 + 
       (3*t[42])/4 + (159*t[43])/8 - 15*t[44] - (49*t[45])/4 - 12*t[46] + 
       (9*t[47])/2 - (21*t[48])/2 - (109*t[49])/8 + 14*t[50] + 
       (121*t[51])/16 - (19*t[52])/2 + (109*t[53])/8 + (105*t[54])/4 + 
       28*t[59] + (799*t[60])/6 + 52*t[61] + (1905*t[62])/8 + 
       (1079*t[63])/8 - (825*t[64])/4 - 157*t[65] + (785*t[66])/12 + 
       (3*t[67])/2 + 29*t[69] - 14*t[70] + 14*t[71] + 28*t[74] + 
       (7*t[76])/2 + 6*t[77] - 2*t[78] - 4*t[79] - 37*t[80] + (29*t[81])/2 - 
       14*t[82] - (59*t[83])/2 + (107*t[84])/4 - (19*t[85])/4 - 161*t[86] - 
       (239*t[87])/4 - (239*t[88])/8 - (35*t[89])/2 + t[94] + t[97] + 
       24*t[98] - 24*t[99] - 216*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-51*t[1])/4 - (9*t[2])/4 + 6*t[3] + 
       (113*t[4])/8 - 11*t[5] - (55*t[6])/8 + (215*t[7])/4 + (283*t[8])/4 - 
       7*t[9] - (539*t[10])/16 + (845*t[11])/8 + (177*t[12])/16 + 
       (53*t[13])/8 + (7457*t[14])/96 - (2119*t[15])/48 + t[19] + 9*t[25] + 
       5*t[26] - 15*t[28] - 15*t[31] - (3*t[34])/2 + 15*t[35] + 11*t[36] - 
       t[37] - (27*t[38])/2 - (29*t[39])/2 + 15*t[40] + (3*t[41])/4 - 
       (3*t[42])/4 - 15*t[45] - 7*t[46] + 30*t[47] + (35*t[48])/8 - 
       (297*t[49])/16 + (23*t[50])/8 - (505*t[51])/32 - (27*t[52])/8 + 
       (313*t[53])/16 - 52*t[54] + (29*t[59])/4 + (209*t[60])/8 + 
       (1533*t[61])/8 - (4555*t[62])/16 - (193*t[63])/16 + (2101*t[64])/16 + 
       (217*t[65])/8 - (2221*t[66])/24 - 6*t[72] - 8*t[74] - 24*t[75] + 
       (7*t[76])/2 - 14*t[77] - (41*t[78])/2 + 3*t[79] + 32*t[80] - 
       (25*t[81])/2 + (15*t[82])/2 + 49*t[83] + (243*t[84])/8 + 
       (257*t[85])/8 + 279*t[86] + (957*t[87])/8 + (1437*t[88])/16 - 
       (487*t[89])/16 - 14*t[95] + 3*t[96] + (5*t[97])/2 + 24*t[98] - 
       24*t[99] - 216*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*(t[1] + 41*t[2] + 49*t[3] - (417*t[4])/2 + 
       (1169*t[5])/4 - (789*t[6])/8 - 77*t[7] - (573*t[8])/2 - 254*t[9] - 
       79*t[10] + (2277*t[11])/8 - (205*t[12])/4 + 76*t[13] - 
       (1915*t[14])/12 + (5569*t[15])/36 - 2*t[16] - 38*t[25] + 32*t[26] + 
       28*t[27] + 32*t[28] - 22*t[29] - 36*t[30] - 36*t[31] - 12*t[32] + 
       12*t[33] + 24*t[34] - 48*t[35] - 74*t[36] - 38*t[37] - 4*t[38] + 
       20*t[39] + 18*t[40] - 8*t[41] + 8*t[42] + 36*t[43] + t[44] + 
       56*t[45] + 87*t[46] - 124*t[47] - (843*t[48])/8 - (467*t[49])/2 + 
       (417*t[50])/8 + (335*t[51])/8 - (737*t[52])/8 + (305*t[53])/2 - 
       (705*t[54])/8 - 4*t[58] + 2*t[59] + (769*t[60])/4 - (77*t[61])/4 + 
       (2795*t[62])/8 - (627*t[63])/8 - (1621*t[64])/8 + (1853*t[65])/12 + 
       (7687*t[66])/12 - 2*t[68] + 28*t[70] - 28*t[71] + 68*t[72] - 
       48*t[73] + 134*t[74] + 132*t[75] - 22*t[76] + 22*t[77] + 52*t[78] - 
       128*t[79] + 108*t[80] - 90*t[81] + 110*t[82] - 192*t[83] + 
       (525*t[84])/4 + (25*t[85])/4 - 536*t[86] + (387*t[87])/4 + 
       (1411*t[88])/8 - (155*t[89])/8 - 4*t[93] - 28*t[95] - 64*t[96] - 
       4*t[97] - 144*t[98] + 72*t[99] - 216*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (-77*t[1] - (69*t[2])/2 + (1067*t[3])/12 + (1553*t[4])/6 - 
       (429*t[5])/4 + (347*t[6])/8 - (3397*t[7])/12 - (2929*t[8])/12 - 
       (1423*t[9])/12 - (452*t[10])/3 - (2027*t[11])/24 + (325*t[12])/2 - 
       (7249*t[13])/72 - (1447*t[14])/36 - (835*t[15])/12 - 6*t[16] - 
       3*t[17] - 12*t[18] - 12*t[21] + 12*t[23] + 50*t[25] - 20*t[26] - 
       6*t[27] - 24*t[28] + 11*t[29] + 12*t[30] + 94*t[31] + 4*t[32] + 
       20*t[33] - 16*t[34] + 48*t[35] - 32*t[36] + 20*t[37] - 36*t[38] - 
       24*t[39] - 12*t[40] - 3*t[41] - 3*t[42] + (359*t[43])/12 + t[44]/2 - 
       (31*t[45])/2 - 19*t[46] + 11*t[47] - (525*t[48])/8 + (551*t[49])/12 - 
       (2747*t[50])/24 + t[51]/24 + (3035*t[52])/24 - (599*t[53])/12 + 
       (295*t[54])/24 + 6*t[56] + 34*t[59] - (73*t[60])/4 - (1221*t[61])/4 + 
       (4583*t[62])/24 + (19105*t[63])/24 + (3701*t[64])/24 - 
       (22937*t[65])/36 + (17255*t[66])/36 + 2*t[67] + 10*t[68] + 40*t[70] - 
       40*t[71] - 84*t[72] + 34*t[74] - 84*t[75] - 44*t[76] - 8*t[77] + 
       22*t[78] + 48*t[79] - 266*t[80] - 21*t[81] - 35*t[82] + 
       (488*t[83])/3 - (475*t[84])/12 + (967*t[85])/12 + (79*t[86])/3 - 
       (2927*t[87])/12 - (2927*t[88])/24 - (5269*t[89])/24 + 2*t[92] - 
       4*t[93] - 2*t[94] + 14*t[97] - 144*t[98] + 72*t[99] - 216*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-155*t[1])/3 - (71*t[2])/3 - (3703*t[3])/24 - (473*t[4])/3 + 
       (12683*t[5])/48 - (1577*t[6])/24 - (2641*t[7])/24 - (583*t[8])/24 - 
       (2513*t[9])/16 + (6167*t[10])/24 + (957*t[11])/8 - (2863*t[12])/48 + 
       (43711*t[13])/144 + (3323*t[14])/16 + (53401*t[15])/288 + 10*t[16] + 
       (22*t[25])/3 + (31*t[26])/3 + (8*t[27])/3 + (70*t[28])/3 - 
       (88*t[29])/3 + (40*t[30])/3 + 24*t[31] - (64*t[32])/3 + (64*t[33])/3 + 
       (41*t[34])/3 - 12*t[35] + 22*t[36] + (16*t[37])/3 - (103*t[38])/3 - 
       20*t[39] + (110*t[40])/3 - (41*t[41])/6 + (41*t[42])/6 + 
       (321*t[43])/4 + (166*t[44])/3 + (59*t[45])/2 + (100*t[46])/3 - 
       (241*t[47])/3 - (1703*t[48])/12 + (271*t[49])/12 - (767*t[50])/12 - 
       (235*t[51])/24 + (139*t[52])/12 + (55*t[53])/4 - (19*t[54])/12 - 
       17*t[58] + (53*t[59])/3 + 313*t[60] + (251*t[61])/2 + (221*t[62])/4 + 
       (119*t[63])/12 - 269*t[64] + (1921*t[65])/36 - (8155*t[66])/12 + 
       (2*t[67])/3 - (22*t[68])/3 + 8*t[69] - (44*t[70])/3 + (44*t[71])/3 - 
       28*t[72] + 72*t[73] - (26*t[74])/3 - 64*t[75] + 168*t[76] + t[77] - 
       (361*t[78])/3 - 96*t[79] + 245*t[80] + (388*t[81])/3 - (215*t[82])/2 - 
       56*t[83] + (139*t[84])/2 + 237*t[85] - 105*t[86] - (919*t[87])/3 - 
       (1291*t[88])/6 + (1643*t[89])/12 + (4*t[90])/3 + 20*t[95] + 
       (58*t[96])/3 + (17*t[97])/3 + 1148*t[98] - 1316*t[99] - 204*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((155*t[1])/6 - (187*t[2])/3 + (905*t[3])/6 - (423*t[4])/8 - 
       (61*t[5])/4 - (3925*t[6])/12 - 125*t[7] - (1133*t[8])/2 + 
       (35*t[9])/4 - (8497*t[10])/48 + (224*t[11])/3 + (7751*t[12])/48 + 
       (22933*t[13])/216 - (83971*t[14])/288 - (20047*t[15])/144 - 4*t[16] - 
       (2*t[17])/3 + (44*t[18])/3 - (28*t[19])/3 - 104*t[20] + 
       (104*t[21])/3 + (70*t[22])/3 - (104*t[23])/3 + (34*t[24])/3 - 
       (64*t[25])/3 - (5*t[26])/3 + (136*t[27])/3 - (212*t[28])/3 - 
       (10*t[29])/3 + (148*t[30])/3 - (106*t[31])/3 - (50*t[32])/3 + 
       10*t[33] + (89*t[34])/3 - 44*t[35] - 10*t[36] + 32*t[37] + 
       (53*t[38])/3 - (118*t[39])/3 + (233*t[40])/3 - (11*t[41])/6 + 
       (55*t[42])/6 - (99*t[43])/2 + (56*t[44])/3 - 10*t[45] + (65*t[46])/6 + 
       (5*t[47])/3 - (531*t[48])/4 - (3515*t[49])/48 - (379*t[50])/4 + 
       (2393*t[51])/32 - (265*t[52])/4 + (1017*t[53])/16 - (925*t[54])/24 + 
       (7*t[56])/3 + 12*t[57] - 10*t[58] - (25*t[59])/2 - (653*t[60])/8 - 
       (17791*t[61])/24 + (11785*t[62])/48 + (4207*t[63])/48 + 
       (7109*t[64])/48 + (4685*t[65])/24 - (10073*t[66])/24 + 12*t[67] + 
       (8*t[68])/3 + 4*t[69] - (88*t[70])/3 + (88*t[71])/3 - 62*t[72] + 
       48*t[73] - 6*t[74] - 208*t[75] + (622*t[76])/3 - 50*t[77] - 
       (1178*t[78])/3 + 190*t[79] + (124*t[80])/3 + 85*t[81] + 13*t[82] + 
       124*t[83] - (2233*t[84])/24 + (5567*t[85])/24 + (230*t[86])/3 - 
       (1939*t[87])/8 - (1939*t[88])/16 - (983*t[89])/16 + (4*t[90])/3 + 
       (20*t[92])/3 - 12*t[93] - (34*t[94])/3 + 20*t[97] + 1148*t[98] - 
       1316*t[99] - 204*t[100]) + HPL[{0, 1}, 1 - w]*Qep[u, v, w]*
      ((16*t[1])/3 + (88*t[2])/9 - (608*t[3])/9 + (22*t[4])/9 - 
       (748*t[5])/9 + 184*t[6] - 32*t[7] + (1856*t[8])/9 + (436*t[9])/9 + 
       (181*t[10])/3 + (268*t[11])/9 + 31*t[12] + (206*t[13])/27 + 
       (7801*t[14])/54 + (557*t[15])/27 - (64*t[25])/9 + (272*t[26])/9 - 
       (128*t[27])/9 + (256*t[28])/9 + (128*t[29])/9 - (128*t[30])/9 - 
       (448*t[31])/9 - (64*t[34])/9 - 64*t[35] + (32*t[36])/3 - 
       (64*t[37])/3 - 16*t[38] + (128*t[39])/9 - (128*t[40])/9 + 
       (32*t[41])/9 - (32*t[42])/9 - (32*t[43])/9 - (128*t[44])/9 - 
       (56*t[46])/9 + 112*t[48] + (55*t[49])/3 - 16*t[50] - (545*t[51])/18 + 
       (464*t[52])/9 - 21*t[53] + (118*t[54])/3 + (64*t[58])/9 + 
       (232*t[59])/9 + (170*t[60])/9 + (1030*t[61])/3 + (833*t[62])/9 - 
       (395*t[63])/3 - (971*t[64])/9 + (3014*t[65])/27 - 138*t[66] + 
       (64*t[72])/3 - (32*t[74])/3 + (128*t[75])/3 - (640*t[76])/9 - 
       (64*t[77])/9 + (1024*t[78])/9 + (32*t[79])/3 - (64*t[80])/3 + 
       (112*t[81])/9 - (448*t[82])/9 - (320*t[83])/3 + (646*t[84])/9 - 
       (538*t[85])/9 - (1760*t[86])/9 + (170*t[87])/3 + (85*t[88])/3 + 
       (727*t[89])/9 - (64*t[97])/9 - (1024*t[98])/3 + (1024*t[99])/3 - 
       (608*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*
      (-t[1]/2 + (57*t[2])/4 - 118*t[3] + (177*t[4])/2 - (17*t[5])/2 - 
       (107*t[6])/4 + (145*t[7])/8 - (513*t[8])/8 + (383*t[9])/8 + 
       (1401*t[10])/8 - (207*t[11])/8 + (13*t[12])/4 + (1531*t[13])/16 + 
       (99*t[14])/2 + (4549*t[15])/48 + (15*t[17])/2 - 6*t[18] - 108*t[20] - 
       6*t[21] + 6*t[23] - 24*t[24] + 15*t[25] - 12*t[26] + 21*t[27] - 
       72*t[28] + 12*t[29] + 40*t[30] - 12*t[31] + 12*t[32] - 18*t[33] - 
       6*t[34] - 30*t[39] + 36*t[40] - (15*t[41])/2 + (9*t[42])/2 + 
       (117*t[43])/8 + 21*t[44] + (51*t[45])/4 + 12*t[46] - (75*t[47])/2 - 
       (257*t[48])/8 - (241*t[49])/4 - (41*t[50])/8 + (259*t[51])/8 - 
       (391*t[52])/8 + (241*t[53])/4 + (445*t[54])/8 + 4*t[59] + 79*t[60] + 
       (335*t[61])/2 - (61*t[62])/2 + (165*t[63])/2 - (759*t[64])/4 - 
       94*t[65] + (5*t[66])/3 + 12*t[70] - 12*t[71] + 6*t[74] - 12*t[76] + 
       12*t[77] + 12*t[78] - 36*t[80] + 6*t[81] - 4*t[82] + 9*t[84] - 
       15*t[85] - 87*t[86] - 3*t[87] - (3*t[88])/2 - (7*t[89])/2 - 3*t[92] + 
       3*t[94] - 72*t[98] + 108*t[99] - 198*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*
      ((-25*t[1])/2 + (27*t[2])/2 - 36*t[3] - (323*t[4])/4 - (311*t[5])/8 + 
       16*t[6] - (65*t[7])/2 - (83*t[8])/2 + (655*t[9])/8 - (273*t[10])/4 + 
       99*t[11] + (647*t[12])/8 + (249*t[13])/4 + (5551*t[14])/48 + 
       (53*t[15])/48 + 9*t[16] + 15*t[25] - 4*t[26] + 6*t[27] + 64*t[28] - 
       24*t[29] - 16*t[30] + 16*t[31] - 24*t[35] + 15*t[36] - 3*t[37] - 
       11*t[38] + 20*t[39] - 2*t[40] - 8*t[43] + 64*t[44] + 3*t[45] + 
       (27*t[46])/2 - 6*t[47] - 47*t[48] - (167*t[49])/2 - 16*t[50] + 
       (353*t[51])/16 + 10*t[52] + 67*t[53] + (173*t[54])/4 + (11*t[59])/2 + 
       243*t[60] + (527*t[61])/2 - (781*t[62])/8 - (1671*t[63])/8 - 
       (9*t[64])/4 + (317*t[65])/4 - (737*t[66])/4 + 3*t[67] - 9*t[68] + 
       6*t[70] - 6*t[71] + 108*t[72] + 64*t[73] + 9*t[74] - 160*t[75] + 
       36*t[76] + 5*t[77] - 102*t[78] - 80*t[79] + 18*t[80] + 20*t[81] - 
       41*t[82] - 20*t[83] + (397*t[84])/4 + (127*t[85])/4 + 74*t[86] - 
       (141*t[87])/4 + (51*t[88])/8 + (409*t[89])/8 + 12*t[93] - 6*t[95] - 
       6*t[96] + 3*t[97] - 72*t[98] + 108*t[99] - 198*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((7*t[1])/2 + (37*t[2])/2 + (85*t[3])/8 - 99*t[4] + (2295*t[5])/16 - 
       (937*t[6])/16 - (137*t[7])/8 - (1143*t[8])/8 - (1997*t[9])/16 - 
       (7*t[10])/2 + (3457*t[11])/16 - (193*t[12])/16 + (8047*t[13])/144 - 
       (9*t[14])/4 + (7723*t[15])/96 - 4*t[16] - 5*t[25] + 15*t[26] + 
       7*t[27] + 10*t[28] - (29*t[29])/2 - (41*t[30])/2 - 21*t[31] - 
       6*t[32] + 6*t[33] + 11*t[34] - 23*t[35] - 60*t[36] - 23*t[37] - 
       t[38] + (77*t[39])/4 + (27*t[40])/2 - (7*t[41])/2 + (7*t[42])/2 + 
       (87*t[43])/4 + 17*t[44] + (145*t[45])/4 + 43*t[46] - (157*t[47])/2 - 
       (709*t[48])/16 - (805*t[49])/8 + (235*t[50])/16 + (99*t[51])/8 - 
       (635*t[52])/16 + (529*t[53])/8 - (675*t[54])/16 - 3*t[58] + 3*t[59] + 
       (1027*t[60])/8 + (989*t[61])/8 + (1797*t[62])/16 + (195*t[63])/16 - 
       (811*t[64])/16 - (277*t[65])/8 + (3241*t[66])/24 + t[68] + 12*t[70] - 
       12*t[71] + 29*t[72] - 24*t[73] + 94*t[74] + 60*t[75] + (101*t[76])/4 + 
       10*t[77] - (35*t[78])/4 - 74*t[79] + 73*t[80] - (61*t[81])/2 + 
       39*t[82] - 95*t[83] + (549*t[84])/8 - (19*t[85])/8 - (511*t[86])/2 + 
       (135*t[87])/8 + (1007*t[88])/16 - (861*t[89])/16 - t[91]/6 - 2*t[93] - 
       12*t[95] - 24*t[96] + 2*t[97] - 24*t[98] + 12*t[99] - 193*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      (-31*t[1] - (63*t[2])/4 + (129*t[3])/4 + (249*t[4])/2 - (113*t[5])/2 + 
       (261*t[6])/8 - (459*t[7])/4 - (391*t[8])/4 - (39*t[9])/2 - 
       (187*t[10])/4 - (237*t[11])/8 + (207*t[12])/4 - (491*t[13])/12 - 
       (79*t[14])/24 - (143*t[15])/4 - t[17] - 4*t[18] - 4*t[21] + 4*t[23] + 
       17*t[25] - 6*t[26] - t[27] - 8*t[28] + 5*t[29] + t[30]/2 + 45*t[31] + 
       2*t[32] + 6*t[33] - 6*t[34] + 21*t[35] - 14*t[36] + 12*t[37] - 
       13*t[38] - (11*t[39])/2 - (11*t[40])/2 - t[41] - t[42] + 
       (43*t[43])/4 - t[44]/4 - 8*t[45] - 11*t[46] + 10*t[47] - 
       (219*t[48])/8 + (101*t[49])/4 - (389*t[50])/8 - (5*t[51])/2 + 
       (421*t[52])/8 - (109*t[53])/4 + (49*t[54])/8 + 2*t[56] + 
       (51*t[59])/4 + (693*t[60])/8 - (427*t[61])/8 + (869*t[62])/16 + 
       (6219*t[63])/16 + (687*t[64])/16 - (2781*t[65])/8 + (1031*t[66])/8 - 
       2*t[68] + 16*t[70] - 16*t[71] - 37*t[72] + 14*t[74] - 36*t[75] + 
       (25*t[76])/4 - 6*t[77] + (113*t[78])/4 + 30*t[79] - 128*t[80] - 
       (3*t[81])/2 - 28*t[82] + 84*t[83] + (71*t[84])/8 + (403*t[85])/8 - 
       11*t[86] - (1295*t[87])/8 - (1295*t[88])/16 - (1329*t[89])/16 + 
       t[91]/6 - 2*t[93] + 8*t[97] - 24*t[98] + 12*t[99] - 193*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-9*t[1])/2 + 4*t[2] - (7*t[3])/4 - 10*t[4] - (99*t[5])/4 + 
       (385*t[6])/16 + (5*t[7])/2 - (25*t[8])/4 + (53*t[9])/2 - 
       (91*t[10])/4 - (135*t[11])/16 - (11*t[12])/8 - (989*t[13])/36 + 
       (1535*t[14])/48 + (37*t[15])/18 + (3*t[16])/2 + (7*t[25])/2 - 
       t[26]/2 - 3*t[27] + 6*t[28] + 2*t[30] + t[32] - t[33] + 2*t[34] - 
       6*t[35] + t[36] - (7*t[37])/2 - 4*t[38] + 6*t[39] - (5*t[40])/2 - 
       t[41] + t[42] - 2*t[43] - t[44] + 7*t[45] + (35*t[46])/4 - 13*t[47] + 
       t[48]/16 - 12*t[49] - (47*t[50])/16 - (13*t[51])/4 + (31*t[52])/16 + 
       (7*t[53])/2 + (379*t[54])/16 - (11*t[59])/4 + (19*t[60])/8 + 
       (465*t[61])/4 + (17*t[62])/16 + (1131*t[63])/16 - (185*t[64])/8 - 
       (11*t[65])/12 - 27*t[66] - (3*t[68])/2 + 4*t[69] + 6*t[72] - 2*t[73] + 
       8*t[75] - (13*t[76])/2 + t[77] - (23*t[78])/2 + 4*t[79] - 12*t[80] + 
       (25*t[81])/4 - (35*t[82])/4 - 11*t[83] + 13*t[84] - (71*t[85])/8 - 
       42*t[86] - (341*t[87])/8 - (493*t[88])/16 - (141*t[89])/8 - 2*t[96] - 
       (5*t[97])/2 - 72*t[98] + 124*t[99] - 191*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((13*t[1])/2 - (43*t[2])/8 - (53*t[3])/4 + (7*t[4])/8 + (127*t[5])/8 - 
       (33*t[6])/8 + (111*t[7])/4 - (19*t[8])/2 + 6*t[9] - (359*t[10])/16 + 
       (623*t[11])/8 + (49*t[12])/16 + (2173*t[13])/144 + (5609*t[14])/96 + 
       (2273*t[15])/144 - (3*t[16])/2 + (3*t[17])/4 - 21*t[22] - 3*t[24] + 
       (5*t[25])/2 - 4*t[26] - (5*t[27])/2 - 6*t[31] - 7*t[32] + 4*t[33] - 
       8*t[34] - 8*t[35] - 3*t[36] + 3*t[37] + (5*t[38])/2 - 4*t[39] + 
       10*t[40] + (7*t[41])/2 + t[42]/2 + (53*t[43])/4 - 2*t[44] - 
       (7*t[45])/4 + t[46]/4 - (21*t[47])/2 + (19*t[48])/2 + (175*t[49])/16 - 
       (15*t[50])/2 - (89*t[51])/32 - (13*t[52])/2 - (175*t[53])/16 + 
       (81*t[54])/8 - (3*t[56])/2 - 6*t[57] - t[58]/2 + (5*t[59])/2 + 
       (147*t[60])/2 + 241*t[61] - (149*t[62])/2 + (157*t[63])/2 + 
       (161*t[64])/8 - (215*t[65])/6 - (919*t[66])/6 + (3*t[67])/2 + 
       3*t[68] + 4*t[69] + 2*t[72] + t[74] + 2*t[75] - 11*t[76] + 19*t[78] + 
       8*t[79] + 13*t[80] + (19*t[81])/2 - 16*t[82] - 17*t[83] + 
       (83*t[84])/4 - (25*t[85])/2 - (65*t[86])/2 - 43*t[87] - (43*t[88])/2 - 
       (43*t[89])/4 + (3*t[92])/2 - (3*t[94])/2 - t[97] - 72*t[98] + 
       124*t[99] - 191*t[100]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((31*t[1])/4 - (115*t[2])/8 - 29*t[3] + 
       (81*t[4])/2 - (415*t[5])/8 + (231*t[6])/8 + (619*t[7])/16 + 
       (385*t[8])/16 + (1275*t[9])/16 - (115*t[10])/16 + (719*t[11])/16 + 
       (209*t[12])/8 + (503*t[13])/96 + (2903*t[14])/48 - (201*t[15])/32 - 
       (5*t[16])/2 + (5*t[17])/4 + 3*t[18] - 2*t[19] - 6*t[20] - t[21] + 
       3*t[23] - 4*t[24] - (3*t[25])/2 - t[26] - t[27]/2 - 2*t[29] + 
       2*t[30] - 6*t[31] - 6*t[32] - t[33] + 15*t[34] - 5*t[36] + 4*t[38] + 
       t[39] + 6*t[40] - (23*t[41])/4 + (19*t[42])/4 - (129*t[43])/16 - 
       (13*t[44])/2 + (5*t[45])/8 + 2*t[46] + (3*t[47])/4 - (31*t[48])/16 + 
       (43*t[49])/4 - (23*t[50])/16 - (9*t[51])/4 - (281*t[52])/16 - 
       (43*t[53])/4 + (47*t[54])/16 + t[58] - (9*t[59])/2 + 96*t[60] + 
       131*t[61] - (31*t[62])/4 + (61*t[63])/4 - 81*t[64] + (15*t[65])/2 - 
       97*t[66] + (5*t[67])/2 + (15*t[68])/2 - 6*t[70] + 6*t[71] + 2*t[72] + 
       2*t[74] + 4*t[76] - 4*t[77] + 14*t[78] - 23*t[80] + 15*t[81] - 
       18*t[82] + 12*t[83] + (39*t[84])/2 + 5*t[85] - (11*t[86])/2 - 
       56*t[87] - 28*t[88] + (87*t[89])/8 + (5*t[90])/2 + (5*t[92])/2 - 
       (5*t[94])/2 + 12*t[98] + 66*t[99] - 189*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-5*t[1])/4 + (15*t[2])/2 - (27*t[3])/2 + (19*t[4])/8 - 
       (345*t[5])/16 + 14*t[6] - (13*t[7])/4 - (19*t[8])/4 + (613*t[9])/16 - 
       (423*t[10])/8 + (21*t[11])/2 + (53*t[12])/16 + (1411*t[13])/72 + 
       (927*t[14])/32 + (223*t[15])/96 + (5*t[16])/2 + (11*t[25])/2 - 
       6*t[26] - 2*t[27] + 8*t[30] + (13*t[36])/2 - 7*t[37] + t[38]/2 + 
       5*t[39] - 5*t[40] - 2*t[44] - (3*t[45])/2 - (9*t[46])/4 + 3*t[47] + 
       7*t[48] - (5*t[49])/4 - (5*t[50])/2 + (43*t[51])/32 + (15*t[52])/2 - 
       (3*t[53])/2 + (183*t[54])/8 - (9*t[59])/4 + (141*t[60])/4 + 
       (339*t[61])/4 + (455*t[62])/16 + (189*t[63])/16 - (45*t[64])/8 - 
       (839*t[65])/24 - (2273*t[66])/24 - (5*t[68])/2 - 3*t[70] + 3*t[71] - 
       2*t[72] - (3*t[74])/2 + t[76] + (5*t[77])/2 + 2*t[78] + 7*t[80] + 
       (17*t[81])/2 - 14*t[82] + 2*t[83] + (131*t[84])/8 - (25*t[85])/8 - 
       17*t[86] - (217*t[87])/8 - (449*t[88])/16 - (5*t[89])/16 + 3*t[95] + 
       7*t[96] - (5*t[97])/2 + 12*t[98] + 66*t[99] - 189*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((2*t[1])/3 - (1265*t[2])/72 - (323*t[3])/72 - (39677*t[4])/288 + 
       (8509*t[5])/144 - (2029*t[6])/16 - (49*t[7])/2 - (2405*t[8])/36 + 
       (7697*t[9])/144 - (7987*t[10])/192 - (601*t[11])/36 + 
       (1303*t[12])/64 - (47761*t[13])/864 - (22135*t[14])/3456 - 
       (19859*t[15])/1728 - 2*t[16] + t[17] + 6*t[18] - (16*t[19])/3 - 
       36*t[20] + t[21] + 17*t[22] - t[23] + 9*t[24] - (83*t[25])/9 - 
       (199*t[26])/18 + (113*t[27])/9 - (145*t[28])/9 - (19*t[29])/18 + 
       (163*t[30])/18 + (67*t[31])/9 - 4*t[32] - 12*t[33] + (167*t[34])/18 - 
       4*t[35] - (2*t[36])/3 + (43*t[37])/3 + (7*t[38])/4 + (35*t[39])/18 + 
       (95*t[40])/9 - (95*t[41])/36 + (203*t[42])/36 - (499*t[43])/36 - 
       (97*t[44])/36 + 3*t[45] + (163*t[46])/18 + 24*t[47] - (421*t[48])/16 + 
       (359*t[49])/192 - (321*t[50])/16 - (4033*t[51])/1152 - 
       (1631*t[52])/144 + (1123*t[53])/64 - (11*t[54])/96 + 2*t[56] + 
       2*t[57] - (55*t[58])/36 - (617*t[59])/72 - (67231*t[60])/288 - 
       (7877*t[61])/96 - (22067*t[62])/576 + (27737*t[63])/192 + 
       (191225*t[64])/576 - (7237*t[65])/864 + (1379*t[66])/32 + t[67]/2 - 
       12*t[69] - 10*t[70] + 10*t[71] - (7*t[72])/3 + 12*t[73] - 
       (35*t[74])/6 - (116*t[75])/3 + (3781*t[76])/36 + (34*t[77])/9 - 
       (2419*t[78])/36 + (551*t[79])/6 + (91*t[80])/3 - (175*t[81])/36 + 
       (193*t[82])/9 + (127*t[83])/6 - (25229*t[84])/288 - (4813*t[85])/288 + 
       (422*t[86])/9 + (4409*t[87])/96 - (199*t[88])/192 - 
       (57397*t[89])/576 + t[91]/6 + t[92]/2 - 2*t[93] - t[94]/2 + 4*t[95] + 
       10*t[96] + (77*t[97])/18 + (1291*t[98])/3 - (1405*t[99])/3 - 
       (1013*t[100])/6) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*(10*t[1] - (15*t[2])/4 - (3*t[3])/4 - 
       (123*t[4])/8 - (149*t[5])/8 - (15*t[6])/8 + (29*t[7])/2 + 
       (47*t[8])/2 + (255*t[9])/8 + (1853*t[10])/16 + (351*t[11])/8 + 
       (467*t[12])/16 + (113*t[13])/24 + (467*t[14])/96 - (17*t[15])/2 - 
       6*t[25] + 3*t[26] + 6*t[30] - 39*t[31] - 40*t[35] - 6*t[36] - 
       16*t[37] + 3*t[38] - 2*t[43] - 3*t[44] - 3*t[45] + 9*t[46] + 9*t[47] + 
       (93*t[48])/8 - (345*t[49])/16 + (29*t[50])/8 + (237*t[51])/32 - 
       (29*t[52])/8 + (345*t[53])/16 + (79*t[54])/4 + (11*t[59])/2 + 
       (203*t[60])/8 + (263*t[61])/8 - (1719*t[62])/16 - (1561*t[63])/16 + 
       (1095*t[64])/16 + (67*t[65])/8 - (529*t[66])/8 - 2*t[67] + 6*t[72] + 
       6*t[74] - 15*t[75] + 6*t[76] - 27*t[78] + (87*t[79])/2 + 24*t[80] + 
       (11*t[81])/2 - (41*t[82])/2 - 5*t[83] + (53*t[84])/8 - (173*t[85])/8 + 
       (113*t[86])/2 - (137*t[87])/8 - (137*t[88])/16 - (255*t[89])/16 + 
       36*t[98] - 30*t[99] - (315*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*((-44*t[1])/3 - 
       (49*t[2])/3 - (65*t[3])/6 + (97*t[4])/6 - (119*t[5])/12 + 
       (103*t[6])/2 - (75*t[7])/2 + (11*t[8])/6 + (293*t[9])/12 - 
       (451*t[10])/12 + (10*t[11])/3 + (59*t[12])/3 - (256*t[13])/9 + 
       (1289*t[14])/72 + (143*t[15])/72 - (4*t[17])/3 - (2*t[18])/3 + 
       8*t[19] - (14*t[21])/3 + (34*t[23])/3 + (2*t[24])/3 - (8*t[27])/3 + 
       (16*t[28])/3 + (8*t[29])/3 - (14*t[30])/3 + 10*t[31] + (8*t[34])/3 + 
       4*t[35] - 2*t[37] + (8*t[39])/3 + (11*t[41])/3 - (8*t[42])/3 - 
       (17*t[43])/3 - (8*t[44])/3 - 4*t[45] + (13*t[46])/3 - (34*t[47])/3 - 
       4*t[48] + t[49]/12 - (31*t[50])/3 - (17*t[51])/8 + (23*t[52])/3 - 
       t[53]/12 + (25*t[54])/6 + (4*t[59])/3 + (287*t[60])/3 - (23*t[61])/3 + 
       (278*t[62])/3 - (64*t[63])/3 - (377*t[64])/2 + (425*t[65])/9 + 
       (616*t[66])/9 + 6*t[67] + 28*t[69] - (8*t[70])/3 + (8*t[71])/3 - 
       (8*t[72])/3 - 2*t[73] + (64*t[74])/3 + 6*t[75] + (16*t[76])/3 + 
       2*t[77] + (10*t[78])/3 + 8*t[79] + (104*t[80])/3 + (26*t[81])/3 - 
       (34*t[82])/3 - (62*t[83])/3 + (31*t[84])/3 - (22*t[85])/3 - 
       (148*t[86])/3 - (158*t[87])/3 - (79*t[88])/3 - (9*t[89])/2 - 
       (4*t[94])/3 + 32*t[98] - 16*t[99] - 154*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-101*t[2])/6 - (107*t[3])/6 + (17*t[4])/6 - (401*t[5])/12 + 
       (221*t[6])/6 + (323*t[7])/6 + (21*t[8])/2 + (393*t[9])/4 - 
       (199*t[10])/12 - (15*t[11])/2 + t[12]/6 - (5*t[13])/6 + 
       (353*t[14])/8 + (323*t[15])/216 + 2*t[20] - 4*t[22] - (8*t[27])/3 - 
       (14*t[28])/3 + 6*t[29] - (70*t[30])/3 - (8*t[32])/3 - (2*t[34])/3 + 
       10*t[35] - 2*t[37] + (8*t[39])/3 - t[41] + t[42] + 2*t[44] - 
       (8*t[45])/3 - t[46] + (2*t[47])/3 + (101*t[48])/6 + (89*t[49])/12 + 
       (5*t[50])/6 - (29*t[51])/8 - (5*t[52])/6 - (89*t[53])/12 + 
       (94*t[54])/3 + (44*t[59])/3 + (143*t[60])/6 + (425*t[61])/6 - 
       (37*t[62])/12 - (55*t[63])/12 - (1447*t[64])/12 + (526*t[65])/9 - 
       (373*t[66])/9 + t[67]/3 + 6*t[69] - (4*t[70])/3 + (4*t[71])/3 - 
       (8*t[72])/3 - 2*t[73] + (16*t[74])/3 + 28*t[75] + (16*t[76])/3 - 
       (2*t[78])/3 + 8*t[79] + (14*t[80])/3 + t[81]/3 + (11*t[82])/3 - 
       (119*t[83])/3 + 28*t[84] + (107*t[85])/6 + 12*t[86] - (191*t[87])/6 - 
       (33*t[88])/4 + (57*t[89])/4 - (4*t[95])/3 + (8*t[96])/3 + 32*t[98] - 
       16*t[99] - 154*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*((-11*t[1])/3 - (3*t[2])/2 - (14*t[3])/3 + 
       (184*t[4])/3 - (59*t[5])/12 + (51*t[6])/4 + (7*t[7])/2 + 
       (179*t[8])/6 + (127*t[9])/4 + (3*t[10])/2 + (271*t[11])/12 - 
       (257*t[12])/12 + (2*t[13])/27 + (75*t[14])/2 - (613*t[15])/72 + 
       (11*t[16])/3 + 6*t[25] + (20*t[26])/3 - (8*t[27])/3 + (16*t[28])/3 + 
       (8*t[29])/3 - (14*t[30])/3 + 4*t[35] + (14*t[36])/3 + t[37] - 
       (26*t[38])/3 + (8*t[39])/3 - (8*t[44])/3 - (8*t[46])/3 + 
       (193*t[48])/12 + (22*t[49])/3 - (143*t[50])/12 - 14*t[51] + 
       (143*t[52])/12 - (52*t[53])/3 - (209*t[54])/12 + (20*t[59])/3 + 
       (671*t[60])/6 + (401*t[61])/6 - (85*t[62])/12 - (391*t[63])/12 - 
       (1687*t[64])/12 + (118*t[65])/9 - (493*t[66])/9 + t[67]/3 + 6*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 - (8*t[72])/3 - 2*t[73] + (16*t[74])/3 + 
       28*t[75] + (16*t[76])/3 - (2*t[78])/3 + 8*t[79] + (14*t[80])/3 + 
       t[81]/3 + (11*t[82])/3 - (119*t[83])/3 + 36*t[84] + (155*t[85])/6 + 
       12*t[86] - (335*t[87])/6 - (113*t[88])/4 + (73*t[89])/4 - 
       (4*t[95])/3 + (8*t[96])/3 + 32*t[98] - 16*t[99] - 154*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[v, w, u]*(-8*t[2] - (16*t[3])/3 - 
       80*t[4] + (128*t[5])/3 + 12*t[6] - (112*t[7])/3 + (160*t[8])/3 + 
       (136*t[9])/3 + (40*t[10])/3 - (172*t[11])/3 + 24*t[12] - 
       (976*t[13])/9 + (608*t[14])/9 + (52*t[15])/3 + (128*t[28])/3 - 
       (32*t[30])/3 - (128*t[31])/3 - (64*t[35])/3 + (64*t[37])/3 + 
       (64*t[39])/3 - (64*t[44])/3 + (164*t[48])/3 - 8*t[49] - 20*t[50] - 
       (4*t[51])/3 + 20*t[52] + 8*t[53] + 36*t[54] + (32*t[59])/3 + 
       56*t[60] - 24*t[61] + (688*t[63])/3 - (116*t[64])/3 + (1576*t[65])/9 + 
       (1048*t[66])/9 - (64*t[72])/3 + (160*t[75])/3 + (64*t[78])/3 + 
       16*t[81] - 16*t[82] - (224*t[83])/3 + (112*t[84])/3 - (136*t[85])/3 - 
       (64*t[86])/3 - 40*t[87] - 20*t[88] + (68*t[89])/3 - (448*t[100])/3) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w]*(5*t[1] - (145*t[2])/6 + 
       (220*t[3])/3 - (385*t[4])/24 + (145*t[5])/6 - (565*t[6])/4 - 
       (5*t[7])/2 - (1265*t[8])/6 + (10*t[9])/3 + (505*t[10])/16 + 
       (35*t[11])/6 + (365*t[12])/16 - (1445*t[13])/72 - (35015*t[14])/288 - 
       (5845*t[15])/144 - (40*t[25])/3 - (25*t[26])/3 + (40*t[27])/3 - 
       (80*t[28])/3 - (40*t[29])/3 + (70*t[30])/3 - (40*t[31])/3 + 
       (20*t[34])/3 - 20*t[35] - 10*t[36] + 15*t[38] - (40*t[39])/3 + 
       (40*t[40])/3 - (10*t[41])/3 + (10*t[42])/3 - (20*t[43])/3 + 
       (40*t[44])/3 + (5*t[46])/6 - (375*t[48])/4 - (485*t[49])/16 + 
       (25*t[50])/4 + (3895*t[51])/96 - (475*t[52])/12 + (565*t[53])/16 - 
       (155*t[54])/8 - (20*t[58])/3 - (25*t[59])/6 - (455*t[60])/24 - 
       (2005*t[61])/8 - (8815*t[62])/48 + (5*t[63])/16 + (10045*t[64])/48 - 
       (7085*t[65])/72 + (65*t[66])/8 - 10*t[74] - 60*t[75] + (230*t[76])/3 + 
       (20*t[77])/3 - (440*t[78])/3 + 80*t[79] + 20*t[80] + (10*t[81])/3 + 
       (35*t[82])/3 + 80*t[83] - (1405*t[84])/24 + (775*t[85])/24 + 
       (700*t[86])/3 - (635*t[87])/8 - (635*t[88])/16 - (4565*t[89])/48 + 
       (20*t[97])/3 + 380*t[98] - 380*t[99] - 140*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-65*t[1])/6 - (55*t[2])/6 - (425*t[3])/8 - (145*t[4])/6 + 
       (5315*t[5])/48 - (1555*t[6])/24 + (395*t[7])/24 + (5*t[8])/24 - 
       (5915*t[9])/48 + (4765*t[10])/24 + (2125*t[11])/24 - (1915*t[12])/48 + 
       (39145*t[13])/432 + (1045*t[14])/16 + (29905*t[15])/288 - 
       (20*t[26])/3 + (40*t[27])/3 - (80*t[28])/3 - (40*t[29])/3 + 
       (70*t[30])/3 - (40*t[32])/3 + (40*t[33])/3 + (20*t[34])/3 - 20*t[35] - 
       (80*t[39])/3 + (80*t[40])/3 - (10*t[41])/3 + (10*t[42])/3 + 
       (115*t[43])/12 + (40*t[44])/3 + (155*t[45])/6 + 5*t[46] - 65*t[47] - 
       (215*t[48])/3 + (50*t[49])/3 - 5*t[50] - (25*t[51])/12 - 
       (85*t[52])/3 - (50*t[53])/3 - (95*t[54])/3 - (20*t[58])/3 + 
       (5*t[59])/2 + (230*t[60])/3 + (475*t[61])/3 - (1315*t[62])/12 + 
       (2195*t[63])/12 - (565*t[64])/4 - (785*t[65])/36 - (2095*t[66])/36 + 
       (140*t[76])/3 + 15*t[77] - (80*t[78])/3 + (25*t[80])/3 + 20*t[81] - 
       (45*t[82])/2 - 10*t[84] + (130*t[85])/3 - 15*t[86] - (290*t[87])/3 - 
       (145*t[88])/3 - 45*t[89] + (20*t[97])/3 + 380*t[98] - 380*t[99] - 
       140*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*(24*t[98] - 12*t[99] - 140*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-15*t[1])/2 + (5*t[2])/2 - (237*t[3])/8 + (217*t[4])/8 - 
       (63*t[5])/4 - (241*t[6])/16 - (13*t[7])/8 + (215*t[8])/8 + 
       (269*t[9])/4 - (1213*t[10])/16 + (847*t[11])/16 - (67*t[12])/16 + 
       (1105*t[13])/48 + (4799*t[14])/96 + (41*t[15])/18 + t[17] + 2*t[19] - 
       6*t[20] + 2*t[21] - 8*t[22] - 2*t[23] + 8*t[24] + 4*t[25] - 14*t[26] - 
       6*t[27] + 6*t[28] + (9*t[29])/2 - 11*t[30] - 6*t[31] - 2*t[33] + 
       7*t[34] - 6*t[35] + 2*t[36] - 2*t[37] - 8*t[38] + 6*t[39] - 3*t[40] + 
       t[41]/2 - t[42]/2 - (23*t[43])/8 - (41*t[44])/4 + (27*t[45])/4 + 
       2*t[46] - (21*t[47])/2 + (227*t[48])/16 + (87*t[49])/16 - 
       (185*t[50])/16 - (45*t[51])/32 + (9*t[52])/16 - (71*t[53])/16 - 
       (229*t[54])/16 - t[56] - 2*t[57] + (9*t[59])/2 + (275*t[60])/8 + 
       (461*t[61])/8 - (565*t[62])/16 + (837*t[63])/16 + (1005*t[64])/16 - 
       (1123*t[65])/24 - (1681*t[66])/24 - 8*t[69] + 14*t[72] - 8*t[74] + 
       4*t[75] + 26*t[76] - 2*t[77] + 29*t[78] - 4*t[79] + 17*t[80] + 
       9*t[81] - 17*t[82] - 22*t[83] + (131*t[84])/8 - (105*t[85])/8 + 
       (5*t[86])/2 - (223*t[87])/8 - (223*t[88])/16 - (23*t[89])/16 + 
       t[91]/6 + 2*t[93] + t[97] + 24*t[98] - 12*t[99] - 140*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (48*t[98] - 12*t[99] - 138*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*(-4*t[1] + (7*t[2])/2 - 
       54*t[3] + (121*t[4])/2 - (841*t[5])/8 + (51*t[6])/4 + (263*t[7])/4 - 
       (59*t[8])/4 + (1285*t[9])/8 - 77*t[10] + (265*t[11])/4 + 
       (603*t[12])/8 + (1105*t[13])/72 + 97*t[14] - (367*t[15])/16 - 
       2*t[16] + 4*t[18] + 4*t[21] - 12*t[22] - 4*t[23] + 4*t[24] - 2*t[25] + 
       6*t[26] + 2*t[27] + 4*t[28] - 13*t[29] + t[30] + 12*t[31] + 8*t[32] - 
       6*t[33] + 24*t[34] - 4*t[35] - 8*t[36] - 2*t[37] - 5*t[38] + 
       10*t[39] - 13*t[40] + t[41] + t[42] + t[44]/2 - (37*t[45])/2 + 
       3*t[46] + 30*t[47] - 13*t[48] - (39*t[49])/4 - 7*t[50] + 
       (37*t[51])/8 + 5*t[52] + (39*t[53])/4 + 5*t[54] - 4*t[57] + 2*t[58] - 
       (3*t[59])/2 + (417*t[60])/4 + (279*t[61])/4 - (29*t[62])/8 + 
       (417*t[63])/8 - (413*t[64])/8 + (123*t[65])/4 - (1021*t[66])/12 + 
       t[67] + 3*t[68] - 4*t[70] + 4*t[71] - 2*t[73] + 6*t[76] + 4*t[77] + 
       25*t[78] + 6*t[79] + 33*t[80] + 22*t[81] - 7*t[82] - 2*t[83] + 
       15*t[84] + (49*t[85])/2 - (41*t[86])/2 - (111*t[87])/2 - 
       (111*t[88])/4 - (25*t[89])/8 + t[92] - t[94] + 2*t[97] + 48*t[98] - 
       12*t[99] - 138*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 
       1 - v]*((3*t[1])/2 - 2*t[2] + (151*t[3])/8 - (321*t[4])/4 + 
       (153*t[5])/2 + 57*t[6] - (785*t[7])/4 + (197*t[8])/4 - (413*t[9])/2 + 
       (789*t[10])/8 - (185*t[11])/4 + (699*t[12])/8 - (917*t[13])/72 - 
       (267*t[14])/16 + (915*t[15])/16 - (15*t[17])/2 - 4*t[19] + 4*t[21] + 
       12*t[22] - 4*t[23] + 18*t[24] + 4*t[27] - (13*t[29])/2 + 3*t[30] + 
       72*t[31] + (33*t[32])/2 + 48*t[33] - 3*t[34] + 9*t[37] - 52*t[39] + 
       6*t[40] + 5*t[41] - 5*t[42] + (21*t[43])/2 + (25*t[44])/4 + 6*t[45] + 
       4*t[46] - 9*t[47] - (201*t[48])/4 - (321*t[49])/8 - (193*t[50])/4 + 
       (337*t[51])/16 + (277*t[52])/4 + (321*t[53])/8 + (331*t[54])/4 + 
       6*t[55] + 6*t[56] - (3*t[59])/2 - (289*t[60])/2 + 54*t[61] + 
       (33*t[62])/8 + (3387*t[63])/8 + 8*t[64] - (2681*t[65])/12 + 
       (3841*t[66])/12 + 15*t[68] + 6*t[70] - 6*t[71] - 80*t[72] - 64*t[73] + 
       3*t[74] + 160*t[75] - 92*t[76] - 21*t[77] + 138*t[78] + 80*t[79] - 
       62*t[80] - 51*t[81] + 62*t[82] + 20*t[83] - (519*t[84])/4 - 
       (431*t[85])/4 - 86*t[86] + (281*t[87])/4 + (473*t[88])/8 - 
       (1057*t[89])/8 - 12*t[93] - 6*t[95] - 6*t[96] + 3*t[97] - 456*t[98] + 
       588*t[99] - 138*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 
       1 - v]*((3*t[1])/2 - (61*t[2])/2 - (697*t[3])/8 - (119*t[4])/4 + 
       (129*t[5])/4 - 25*t[6] + (823*t[7])/4 - (235*t[8])/4 + (373*t[9])/4 - 
       (341*t[10])/8 + (187*t[11])/4 - (193*t[12])/8 - (317*t[13])/72 + 
       (2317*t[14])/48 + (645*t[15])/16 + (9*t[17])/2 + 4*t[19] + 16*t[20] + 
       4*t[21] - 12*t[22] - 2*t[23] - 6*t[24] + 4*t[27] - (9*t[29])/2 + 
       3*t[30] - 72*t[31] - (15*t[32])/2 - 2*t[33] - 3*t[34] - 15*t[37] - 
       4*t[39] + 8*t[40] + 4*t[41] - 4*t[42] - (27*t[43])/2 + t[44]/4 + 
       6*t[45] + 4*t[46] - 9*t[47] + (231*t[48])/4 - (103*t[49])/8 + 
       (287*t[50])/4 - (9*t[51])/16 - (219*t[52])/4 + (103*t[53])/8 - 
       (207*t[54])/4 - 6*t[55] - 6*t[56] + (51*t[59])/2 + 144*t[60] + 
       (761*t[61])/2 - (1721*t[62])/8 - (747*t[63])/8 + (9*t[64])/4 + 
       (899*t[65])/12 - (2239*t[66])/12 - t[67] - 9*t[68] + 4*t[69] + 
       2*t[70] - 2*t[71] + 136*t[72] + 64*t[73] + t[74] - 160*t[75] - 
       28*t[76] - 7*t[77] - 22*t[78] - 80*t[79] - 14*t[80] + 11*t[82] - 
       20*t[83] + (385*t[84])/4 - (157*t[85])/4 + 74*t[86] + (231*t[87])/4 + 
       (423*t[88])/8 + (5*t[89])/8 + 12*t[93] - 6*t[95] - 6*t[96] + 3*t[97] - 
       456*t[98] + 588*t[99] - 138*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((19*t[1])/2 + (87*t[2])/8 + (17*t[3])/8 + (171*t[4])/4 + 
       (171*t[5])/8 + (533*t[6])/16 - (655*t[7])/8 - (345*t[8])/8 - 
       124*t[9] + (1281*t[10])/8 - (2287*t[11])/16 - (539*t[12])/8 - 
       (1499*t[13])/48 - (533*t[14])/16 + (163*t[15])/3 + 12*t[19] - 
       12*t[21] + (3*t[22])/2 + 12*t[23] - 6*t[25] + 6*t[30] - 6*t[31] + 
       t[32]/2 - t[33]/2 + 2*t[34] + 18*t[35] + 10*t[36] - 9*t[37] + 
       (11*t[38])/2 + t[39]/2 - (5*t[40])/4 - (45*t[41])/4 + (45*t[42])/4 - 
       (149*t[43])/8 + 62*t[45] + 12*t[46] - (479*t[47])/4 - (235*t[48])/16 - 
       29*t[49] + (221*t[50])/16 + (33*t[51])/8 - (181*t[52])/16 + 29*t[53] + 
       (11*t[54])/16 - (51*t[59])/8 - (281*t[60])/8 - (1609*t[61])/8 + 
       (3371*t[62])/16 - (1699*t[63])/16 - (4659*t[64])/16 + (421*t[65])/8 + 
       (8255*t[66])/24 + 15*t[69] + 30*t[73] + 4*t[74] - 35*t[75] + 
       (7*t[76])/4 - 23*t[77] - t[78] + 10*t[79] - (401*t[80])/2 + 
       (27*t[81])/4 - (129*t[82])/4 - (23*t[83])/2 + (29*t[84])/8 - 
       (127*t[85])/8 - 124*t[86] + (311*t[87])/8 + (311*t[88])/16 + 
       (415*t[89])/16 + t[97]/4 + 12*t[98] - 24*t[99] - (273*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((3*t[1])/2 - (57*t[2])/4 - (303*t[3])/8 - (861*t[4])/8 - (51*t[5])/8 + 
       (17*t[6])/8 - (149*t[7])/2 + (507*t[8])/4 + (367*t[9])/8 + 
       (339*t[10])/16 - (1241*t[11])/8 + (325*t[12])/16 + (229*t[13])/72 - 
       (10837*t[14])/96 + (857*t[15])/48 + (3*t[17])/2 + 16*t[19] + 3*t[20] + 
       7*t[21] - 3*t[22] - 7*t[23] - 3*t[24] + (7*t[26])/2 + (21*t[29])/2 - 
       54*t[30] - 30*t[31] + 6*t[32] + (29*t[34])/2 - 5*t[35] + 4*t[36] - 
       (47*t[37])/2 - (13*t[38])/4 + (19*t[39])/4 - (9*t[40])/2 + 
       (27*t[41])/4 - (27*t[42])/4 - (9*t[43])/2 - 6*t[44] - 42*t[45] - 
       (3*t[46])/2 + 53*t[47] + (139*t[48])/8 + (713*t[49])/16 - 
       (61*t[50])/8 + (529*t[51])/32 + (57*t[52])/8 - (497*t[53])/16 + 
       97*t[54] + 5*t[59] - (11*t[60])/4 - (187*t[61])/2 + (1313*t[62])/8 + 
       (501*t[63])/8 + (623*t[64])/4 + (2915*t[65])/12 + (3857*t[66])/12 - 
       (3*t[67])/2 - t[69] - 12*t[73] - 25*t[74] - 35*t[76] + t[77]/2 + 
       t[78]/2 + 108*t[79] + 73*t[80] + (35*t[81])/2 - 5*t[82] + 
       (21*t[83])/2 + (351*t[84])/4 + 59*t[85] + 7*t[86] + 5*t[87] + 
       (65*t[88])/2 + (1311*t[89])/8 + (3*t[94])/2 + 20*t[95] + (3*t[96])/2 + 
       t[97] + 12*t[98] - 24*t[99] - (273*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      (-t[1]/2 - (3*t[2])/2 - (33*t[3])/8 + (71*t[4])/4 + (185*t[5])/16 + 
       (9*t[6])/8 + (31*t[7])/4 - (7*t[8])/4 - (91*t[9])/16 - (3*t[10])/2 + 
       (165*t[11])/8 - (105*t[12])/16 + (331*t[13])/16 - (137*t[14])/16 + 
       (2447*t[15])/288 - t[22] - 4*t[35] + (13*t[43])/8 + t[45]/4 - t[46] - 
       t[47]/2 - (9*t[48])/4 + (23*t[49])/4 + (19*t[50])/4 + (3*t[51])/8 - 
       (23*t[52])/4 - (23*t[53])/4 - (45*t[54])/4 + t[59]/2 + 18*t[60] - 
       10*t[61] - (17*t[62])/2 - 38*t[63] - (19*t[64])/2 + (139*t[65])/12 - 
       (271*t[66])/12 + 4*t[73] + 3*t[75] - t[77] + 6*t[80] - t[81] + t[82] - 
       10*t[83] + (13*t[84])/2 + 4*t[85] + 12*t[86] - 21*t[87] - 
       (21*t[88])/2 + (11*t[89])/2 + 24*t[98] - 8*t[99] - (273*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((11*t[1])/2 + (73*t[2])/4 - (235*t[3])/12 + (143*t[4])/6 - 
       (197*t[5])/8 - 8*t[6] - (703*t[7])/12 - (70*t[8])/3 + (907*t[9])/24 + 
       (1099*t[10])/12 + (278*t[11])/3 - (49*t[12])/8 + (5711*t[13])/72 + 
       (10379*t[14])/144 + (2975*t[15])/144 + t[17]/2 + (4*t[19])/3 + t[21] - 
       t[23] + 2*t[26] - 20*t[31] - 2*t[34] - 15*t[35] - (19*t[37])/2 - 
       t[38] + t[39] + t[41]/2 - t[42]/2 + (13*t[43])/6 - (3*t[46])/2 - 
       8*t[47] + 8*t[48] + (167*t[49])/12 + (19*t[50])/6 - (31*t[51])/48 - 
       (31*t[52])/6 - (125*t[53])/12 - (101*t[54])/6 + (11*t[59])/2 + 
       (147*t[60])/8 + (443*t[61])/8 - (47*t[62])/3 + (353*t[63])/12 - 
       (5747*t[64])/48 + (131*t[65])/18 - (8351*t[66])/72 - t[67]/2 - t[69] + 
       2*t[74] - 4*t[75] + t[77] - 7*t[78] + 23*t[79] + 16*t[80] + 
       (21*t[81])/2 - (35*t[82])/2 + (13*t[83])/6 + (145*t[84])/24 - 
       (469*t[85])/24 - (140*t[86])/3 - (241*t[87])/24 - (241*t[88])/48 - 
       (935*t[89])/48 + t[94]/2 + 3*t[96] + 2*t[97] + 24*t[98] - 8*t[99] - 
       (273*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-11*t[1])/4 + 20*t[2] + (285*t[3])/16 + 
       (23*t[4])/8 + (75*t[5])/4 - (115*t[6])/4 + (315*t[7])/8 - 
       (495*t[8])/8 + (51*t[9])/4 - (707*t[10])/16 + (65*t[11])/8 - 
       (537*t[12])/16 + (977*t[13])/48 - (2549*t[14])/96 - (535*t[15])/32 + 
       (5*t[17])/4 + 2*t[19] - t[20] - 2*t[21] - t[22] + 2*t[23] - 4*t[24] + 
       2*t[27] + (5*t[29])/4 - (7*t[30])/2 - 16*t[31] - (41*t[32])/4 - 
       9*t[33] + (23*t[34])/2 + 8*t[36] - (3*t[37])/2 - (3*t[38])/2 + 
       (17*t[39])/2 - 3*t[40] - (5*t[41])/2 + (5*t[42])/2 - (7*t[43])/4 + 
       (11*t[44])/8 - 10*t[45] + (29*t[47])/2 - (91*t[48])/8 + 
       (83*t[49])/16 + (49*t[50])/8 - (155*t[51])/32 - (93*t[52])/8 - 
       (115*t[53])/16 - (333*t[54])/8 - t[55] - t[56] - (11*t[59])/2 + 
       (37*t[60])/4 - (367*t[61])/4 + (167*t[62])/16 - (1555*t[63])/16 + 
       (231*t[64])/8 + (1147*t[65])/24 - (513*t[66])/8 - (5*t[68])/2 - 
       3*t[70] + 3*t[71] + 15*t[72] + 16*t[73] - (3*t[74])/2 - 40*t[75] + 
       29*t[76] + (19*t[77])/2 - (85*t[78])/2 - 20*t[79] + 30*t[80] + 
       (13*t[81])/2 - (19*t[82])/2 - 4*t[83] + (185*t[84])/8 + 
       (287*t[85])/8 + 45*t[86] - (77*t[87])/8 - (269*t[88])/16 + 
       (383*t[89])/16 + 2*t[93] + 3*t[95] - 4*t[97] + 60*t[98] - 58*t[99] - 
       135*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*((13*t[1])/4 + (45*t[2])/4 - (371*t[3])/16 + 
       (107*t[4])/8 + 6*t[5] + (127*t[6])/4 - (247*t[7])/8 + (491*t[8])/8 - 
       (81*t[9])/4 + (137*t[10])/16 + (511*t[11])/8 + (391*t[12])/16 + 
       (1571*t[13])/144 + (9379*t[14])/96 + (6713*t[15])/288 - (3*t[17])/4 + 
       5*t[18] + 6*t[19] + 19*t[20] + 4*t[21] - 11*t[22] - 7*t[23] + 
       4*t[24] - 8*t[27] - (7*t[29])/4 + t[30]/2 + 16*t[31] + (31*t[32])/4 - 
       (5*t[34])/2 - 4*t[35] - 8*t[36] - (3*t[37])/2 + (3*t[38])/2 + 
       (11*t[39])/2 - 4*t[40] + 3*t[41] - 3*t[42] + (17*t[43])/4 - 
       (141*t[44])/8 + 10*t[45] + t[46] - (47*t[47])/2 + (157*t[48])/8 + 
       (59*t[49])/16 - (135*t[50])/8 - (27*t[51])/32 + (187*t[52])/8 - 
       (27*t[53])/16 + (263*t[54])/8 + t[55] + t[56] - t[59] - (19*t[60])/4 + 
       (463*t[61])/4 + (255*t[62])/16 + (1293*t[63])/16 - (717*t[64])/8 - 
       (305*t[65])/8 + (311*t[66])/24 - t[67]/2 + (3*t[68])/2 - 9*t[69] - 
       13*t[72] - 16*t[73] + (3*t[74])/2 + 42*t[75] + 7*t[76] + (5*t[77])/2 + 
       (21*t[78])/2 + 19*t[79] + 14*t[80] - 3*t[81] + t[82] - 4*t[83] + 
       (31*t[84])/8 - (53*t[85])/8 - 38*t[86] - (309*t[87])/8 - 
       (245*t[88])/16 - (409*t[89])/16 - 2*t[93] + 3*t[95] + 4*t[96] + 
       3*t[97] + 60*t[98] - 58*t[99] - 135*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      (t[1]/2 - (3*t[2])/2 + (43*t[3])/8 - 4*t[4] - (7*t[5])/16 - 
       (19*t[6])/8 + (33*t[7])/8 - (113*t[8])/8 + (255*t[9])/16 - 
       (255*t[10])/8 + (9*t[11])/8 + (83*t[12])/16 - (167*t[13])/48 - 
       (223*t[14])/48 - (2815*t[15])/288 + 4*t[28] - 4*t[30] + 4*t[35] + 
       2*t[39] - 2*t[40] + (5*t[43])/4 - (13*t[45])/2 - t[46] + 13*t[47] + 
       (13*t[48])/4 + (3*t[49])/4 - (3*t[50])/4 - t[51]/8 + (3*t[52])/4 - 
       (3*t[53])/4 + t[54]/4 + t[59]/2 - 4*t[60] - t[61] - (37*t[62])/4 - 
       (23*t[63])/4 + (127*t[64])/4 - (19*t[65])/12 - (101*t[66])/12 + 
       3*t[77] + 15*t[80] + (3*t[82])/2 + 25*t[86] - 3*t[89] + 12*t[98] + 
       24*t[99] - 130*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-11*t[1])/2 - (17*t[2])/2 - (409*t[3])/8 + 
       (149*t[4])/4 + 6*t[5] + (403*t[6])/16 - (85*t[7])/8 + (559*t[8])/8 + 
       36*t[9] - (39*t[10])/2 + (175*t[11])/16 - (499*t[12])/8 + 
       (29*t[13])/16 + (3083*t[14])/48 + (3521*t[15])/144 - t[16] - 4*t[19] - 
       2*t[20] - 4*t[21] + 10*t[22] + 4*t[23] + 12*t[24] + 6*t[25] - 
       19*t[26] - 12*t[27] - 6*t[28] + (5*t[29])/2 - 13*t[30] - 4*t[32] - 
       2*t[33] + 7*t[34] + 6*t[35] + 2*t[36] + 4*t[37] - 3*t[38] - 2*t[39] + 
       t[40] - (9*t[41])/2 + (9*t[42])/2 - (7*t[43])/8 - (57*t[44])/4 + 
       (107*t[45])/4 - (15*t[46])/2 - (97*t[47])/2 + (319*t[48])/16 + 
       (279*t[49])/8 - (141*t[50])/16 - (123*t[51])/8 + (317*t[52])/16 - 
       (271*t[53])/8 - (11*t[54])/16 + t[56] - 2*t[57] - 2*t[58] - t[59] + 
       (199*t[60])/4 + 102*t[61] + (167*t[62])/8 + (705*t[63])/8 - 
       (79*t[64])/4 - (333*t[65])/4 - (241*t[66])/12 - 18*t[72] + 2*t[74] + 
       8*t[75] + 22*t[76] - 2*t[77] + 29*t[78] - 4*t[79] + 5*t[80] + 
       8*t[81] - 13*t[82] + 2*t[83] + 13*t[84] + (7*t[85])/2 - (67*t[86])/2 - 
       (65*t[87])/4 - (65*t[88])/8 - (67*t[89])/8 + t[91]/6 - 2*t[93] + 
       t[97] + 12*t[98] + 24*t[99] - 130*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-t[1]/6 - (169*t[2])/6 - (21*t[3])/8 + (104*t[4])/3 + (55*t[5])/4 + 
       (803*t[6])/48 + (211*t[7])/6 - (245*t[8])/6 + (223*t[9])/8 + 
       (535*t[10])/12 + (2105*t[11])/48 - (5*t[12])/6 + (521*t[13])/18 + 
       (9071*t[14])/144 + (1199*t[15])/54 - t[17]/6 - (10*t[19])/3 + 
       9*t[20] - 4*t[21] - 5*t[22] + 4*t[23] + (2*t[24])/3 + 2*t[25] - 
       (10*t[27])/3 - 5*t[28] + (26*t[29])/3 - (14*t[30])/3 + 6*t[31] - 
       (53*t[32])/6 + (8*t[33])/3 + 6*t[34] + t[35] + t[37]/3 - (7*t[38])/3 + 
       6*t[39] - (17*t[40])/3 - (5*t[41])/2 + (3*t[42])/2 + (5*t[43])/2 - 
       (43*t[44])/6 - (10*t[45])/3 + t[46]/3 - 4*t[47] - (79*t[48])/48 + 
       (33*t[49])/4 + (73*t[50])/48 - (155*t[51])/24 - (281*t[52])/48 - 
       (17*t[53])/4 + (21*t[54])/16 + t[55]/3 + (20*t[59])/3 + 
       (1003*t[60])/24 + (3925*t[61])/24 + (237*t[62])/16 + (1515*t[63])/16 - 
       (7055*t[64])/48 - (347*t[65])/24 - (5663*t[66])/72 + t[68]/3 + 
       6*t[69] - (4*t[70])/3 + (4*t[71])/3 - 14*t[72] - 6*t[73] - 5*t[74] + 
       31*t[75] + (52*t[76])/3 + (17*t[77])/3 - (26*t[78])/3 - 2*t[79] + 
       (11*t[80])/3 + (53*t[81])/6 - (73*t[82])/6 - 34*t[83] + 
       (203*t[84])/24 - (49*t[85])/8 - 108*t[86] - (1627*t[87])/24 - 
       (2251*t[88])/48 - (433*t[89])/48 + 4*t[95] + 8*t[96] + (5*t[97])/3 + 
       112*t[98] - 108*t[99] - 127*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((-65*t[1])/3 - (27*t[2])/2 - 
       (3719*t[3])/48 - (230*t[4])/3 + (4319*t[5])/32 - (4205*t[6])/96 - 
       (1655*t[7])/48 + (359*t[8])/48 - (2737*t[9])/32 + (4025*t[10])/24 + 
       (6217*t[11])/96 - (2371*t[12])/96 + (131189*t[13])/864 + 
       (947*t[14])/8 + (55933*t[15])/576 + (25*t[16])/6 + 5*t[25] + 
       (22*t[26])/3 + (29*t[27])/3 + 10*t[28] - (35*t[29])/2 + (11*t[30])/2 + 
       9*t[31] - 10*t[32] + 10*t[33] + 5*t[34] - 6*t[35] + (35*t[36])/3 + 
       8*t[37] - (25*t[38])/2 - (16*t[39])/3 + (77*t[40])/4 - (5*t[41])/2 + 
       (5*t[42])/2 + (941*t[43])/24 + (89*t[44])/4 + (147*t[45])/8 + 
       13*t[46] - (187*t[47])/4 - (6665*t[48])/96 + (517*t[49])/48 - 
       (3557*t[50])/96 - (131*t[51])/24 + (901*t[52])/96 + (89*t[53])/16 + 
       (545*t[54])/96 - 8*t[58] + 8*t[59] + (1831*t[60])/16 + 
       (5011*t[61])/48 - (3835*t[62])/96 - (749*t[63])/96 - (3247*t[64])/32 + 
       (3167*t[65])/144 - (55843*t[66])/144 + t[67]/3 - (11*t[68])/2 + 
       5*t[69] - (16*t[70])/3 + (16*t[71])/3 - t[72] + 32*t[73] - 
       (11*t[74])/3 - 36*t[75] + (179*t[76])/2 - (2*t[77])/3 - 
       (212*t[78])/3 - 42*t[79] + (617*t[80])/6 + 55*t[81] - (275*t[82])/6 - 
       (15*t[83])/2 + (1097*t[84])/48 + (4849*t[85])/48 - (307*t[86])/12 - 
       (6457*t[87])/48 - (8569*t[88])/96 + (1873*t[89])/32 + t[90]/2 - 
       t[91]/12 + t[93] + (26*t[95])/3 + (35*t[96])/3 + (19*t[97])/3 + 
       524*t[98] - 588*t[99] - 122*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((31*t[1])/3 - (111*t[2])/4 + 
       (3403*t[3])/48 - (197*t[4])/16 - (1675*t[5])/48 - (4889*t[6])/32 - 
       (2771*t[7])/48 - (4533*t[8])/16 + (555*t[9])/16 - (3961*t[10])/96 + 
       (1523*t[11])/32 + (9391*t[12])/96 + (5885*t[13])/96 - 
       (60097*t[14])/576 - (18095*t[15])/288 - (5*t[17])/2 + (16*t[18])/3 - 
       (11*t[19])/3 - 43*t[20] + (37*t[21])/3 + (35*t[22])/3 - (37*t[23])/3 + 
       (2*t[24])/3 - 5*t[25] + (5*t[26])/3 + 24*t[27] - 40*t[28] - 
       (3*t[29])/4 + (43*t[30])/2 - 16*t[31] - (20*t[32])/3 + t[33]/3 + 
       (50*t[34])/3 - 19*t[35] - 5*t[36] + 12*t[37] + (19*t[38])/3 - 
       (52*t[39])/3 + (199*t[40])/6 - (5*t[41])/3 + (13*t[42])/3 - 
       (1027*t[43])/48 + (79*t[44])/8 - (383*t[45])/24 + (16*t[46])/3 + 
       (205*t[47])/12 - (2541*t[48])/32 - (4177*t[49])/96 - (3835*t[50])/96 + 
       (7027*t[51])/192 - (759*t[52])/32 + (3761*t[53])/96 - 
       (1219*t[54])/96 + (7*t[56])/6 + (13*t[57])/3 - 5*t[58] - 
       (65*t[59])/12 - 9*t[60] - (3803*t[61])/12 + (1931*t[62])/24 + 
       (345*t[63])/8 + (571*t[64])/24 + (1013*t[65])/18 - (901*t[66])/4 + 
       (13*t[67])/3 - (17*t[68])/6 + 6*t[69] - (32*t[70])/3 + (32*t[71])/3 - 
       18*t[72] + 16*t[73] - 10*t[74] - 94*t[75] + (283*t[76])/3 - 
       (125*t[77])/6 - (554*t[78])/3 + 91*t[79] + (44*t[80])/3 + 
       (83*t[81])/2 + (19*t[82])/6 + 56*t[83] - (253*t[84])/6 + 
       (1291*t[85])/12 + (38*t[86])/3 - (1753*t[87])/12 - (1753*t[88])/24 - 
       (1021*t[89])/24 + t[90]/2 + 2*t[92] - 4*t[93] - 4*t[94] + 
       (61*t[97])/6 + 524*t[98] - 588*t[99] - 122*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((11*t[1])/2 - 7*t[2] + (21*t[3])/2 + (123*t[4])/8 - (17*t[5])/4 - 
       (77*t[6])/4 + 5*t[7] - 27*t[8] + (59*t[9])/4 + (687*t[10])/16 + 
       (59*t[11])/2 + (279*t[12])/16 - (757*t[13])/72 + (565*t[14])/96 - 
       (539*t[15])/48 - 4*t[25] + 2*t[26] + 2*t[27] - 4*t[28] - 2*t[29] + 
       8*t[30] - 22*t[31] + t[34] - 28*t[35] - 6*t[36] - 8*t[37] + t[38] - 
       2*t[39] + 2*t[40] - t[41]/2 + t[42]/2 - 3*t[43] + 2*t[44] + 
       (9*t[46])/2 - (47*t[48])/4 - (107*t[49])/16 + (17*t[50])/4 + 
       (163*t[51])/32 - (37*t[52])/4 + (123*t[53])/16 - (9*t[54])/8 - t[58] + 
       8*t[59] + (181*t[60])/8 + (53*t[61])/8 - (1427*t[62])/16 - 
       (365*t[63])/16 + (513*t[64])/16 - (905*t[65])/24 - (345*t[66])/8 + 
       2*t[69] + 4*t[72] - 6*t[74] - 20*t[75] + 17*t[76] + t[77] - 44*t[78] + 
       32*t[79] + 10*t[80] + 3*t[81] - 8*t[82] + 9*t[83] - (25*t[84])/8 - 
       (37*t[85])/8 + 60*t[86] - (293*t[87])/8 - (293*t[88])/16 - 
       (457*t[89])/16 + t[97] + 84*t[98] - 84*t[99] - 120*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((5*t[1])/6 + (21*t[2])/4 - (205*t[3])/8 + 69*t[4] - (135*t[5])/16 + 
       (15*t[6])/2 + (167*t[7])/8 + (465*t[8])/8 + (291*t[9])/16 + 
       (111*t[10])/8 + (311*t[11])/4 - (37*t[12])/16 + (2635*t[13])/144 + 
       (1901*t[14])/48 + (1087*t[15])/96 + 6*t[30] - 16*t[31] - 28*t[35] + 
       5*t[37] + (25*t[43])/4 - 6*t[44] + (3*t[45])/2 - (3*t[46])/2 + 
       3*t[47] - (23*t[48])/8 - (3*t[49])/4 + (9*t[50])/8 - (3*t[51])/2 - 
       (9*t[52])/8 + (3*t[53])/4 - (29*t[54])/8 + (17*t[59])/6 + 
       (185*t[60])/4 + (1189*t[61])/12 - (217*t[62])/4 - (33*t[63])/4 - 
       (171*t[64])/8 - (755*t[65])/18 - (1133*t[66])/18 + 10*t[69] - 
       3*t[75] + 3*t[77] - 3*t[78] - 18*t[79] - 3*t[80] + (13*t[81])/2 - 
       32*t[82] - 9*t[83] + (9*t[84])/2 - (7*t[85])/4 - 14*t[86] - 
       (73*t[87])/4 - (73*t[88])/8 - (99*t[89])/8 + 36*t[98] - 24*t[99] - 
       117*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      ((33*t[1])/8 + (19*t[2])/24 - (383*t[3])/32 + (229*t[4])/6 - 
       (1735*t[5])/192 + (783*t[6])/32 + (41*t[7])/96 + (1221*t[8])/32 + 
       (1351*t[9])/192 + (2401*t[10])/96 + (1207*t[11])/32 + (81*t[12])/64 + 
       (24955*t[13])/1728 + (1993*t[14])/64 + (4571*t[15])/1152 + 
       (13*t[26])/6 - (2*t[27])/3 + (17*t[28])/3 - t[29]/3 + t[30]/2 - 
       (25*t[31])/3 + (2*t[32])/3 - (2*t[33])/3 - (13*t[34])/6 - 
       (41*t[35])/3 - (11*t[36])/2 - (8*t[37])/3 - t[38]/2 + 5*t[39] - 
       (9*t[40])/2 + (13*t[41])/12 - (13*t[42])/12 - (35*t[43])/48 - 
       (10*t[44])/3 + (71*t[45])/24 + (23*t[46])/24 - (21*t[47])/4 + 
       (817*t[48])/48 + (55*t[49])/16 - (61*t[50])/16 - (143*t[51])/96 + 
       (415*t[52])/48 - (155*t[53])/48 - (79*t[54])/16 + (7*t[58])/6 + 
       (41*t[59])/8 + (697*t[60])/24 + (113*t[61])/2 - (21*t[62])/2 - 
       (683*t[63])/8 - (479*t[64])/24 - (2003*t[65])/144 - (2923*t[66])/48 + 
       t[69] + (16*t[72])/3 + (7*t[74])/3 + (4*t[75])/3 - (23*t[76])/6 + 
       (5*t[77])/12 + t[78]/3 - (77*t[80])/12 - (2*t[81])/3 - 
       (161*t[82])/24 - (89*t[83])/6 + (121*t[84])/12 - (79*t[85])/6 - 
       (93*t[86])/4 - (71*t[87])/24 + (25*t[88])/48 + (899*t[89])/48 - 
       2*t[95] + 3*t[96] + (5*t[97])/6 - 48*t[98] + 63*t[99] - 117*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]^2*((-9*t[3])/2 - (9*t[4])/2 - 
       (17*t[5])/2 - (15*t[6])/2 + 8*t[7] - 4*t[8] - 13*t[9] + (29*t[10])/4 + 
       7*t[11] + (13*t[12])/4 + (5*t[13])/2 + (13*t[14])/24 + (23*t[15])/2 - 
       6*t[28] + 4*t[30] + 2*t[31] - 4*t[39] - t[43] + 6*t[44] + 2*t[45] + 
       3*t[46] - 6*t[47] - 7*t[48] - (13*t[49])/4 + 5*t[50] - t[51]/8 - 
       5*t[52] + (13*t[53])/4 - (3*t[54])/2 + 2*t[60] + 4*t[61] - 4*t[62] - 
       4*t[63] - 4*t[64] + (14*t[65])/3 + 2*t[89] - 48*t[98] + 78*t[99] - 
       (225*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]^2*
      ((5*t[1])/2 - (3*t[2])/2 - 18*t[3] + (101*t[4])/4 - (65*t[5])/2 + 
       (9*t[6])/2 + (17*t[7])/4 + (45*t[8])/4 + (111*t[9])/4 - 2*t[10] + 
       (119*t[11])/2 + (49*t[12])/4 + (541*t[13])/18 + (1855*t[14])/48 + 
       (329*t[15])/24 + 9*t[25] - 9*t[26] + 2*t[27] + 2*t[28] - 2*t[29] - 
       4*t[30] - 4*t[35] - 3*t[36] - 3*t[37] + 4*t[39] + t[40] - 2*t[43] - 
       2*t[44] + 5*t[45] - 2*t[46] - 10*t[47] - (5*t[48])/4 - (35*t[49])/2 - 
       (13*t[50])/4 + (167*t[51])/16 - (3*t[52])/4 + 12*t[53] + (5*t[54])/2 - 
       2*t[59] + 43*t[60] + 45*t[61] - (329*t[62])/8 - (275*t[63])/8 - 
       (35*t[64])/4 - 31*t[65] - (551*t[66])/6 + t[67] + 7*t[72] + 5*t[74] - 
       11*t[76] + 12*t[78] - 8*t[80] + (15*t[81])/2 - (17*t[82])/2 + 
       12*t[83] - (7*t[84])/4 - (19*t[85])/2 - t[86] - 12*t[87] - 6*t[88] - 
       (21*t[89])/2 - 2*t[95] - t[96] - 48*t[98] + 78*t[99] - 
       (225*t[100])/2) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (100*t[2] + (75*t[3])/4 - (511*t[4])/4 - 29*t[5] + (585*t[6])/8 - 
       150*t[7] - 60*t[8] - (203*t[9])/4 + (2055*t[10])/8 - (661*t[11])/8 + 
       (245*t[12])/8 - (949*t[13])/12 + (15895*t[14])/48 - (2579*t[15])/72 + 
       8*t[18] + (3*t[19])/2 - 8*t[21] + 7*t[29] - 12*t[30] + 20*t[31] - 
       2*t[32] + 2*t[33] - 6*t[34] - 56*t[35] - 4*t[36] + (27*t[37])/2 + 
       t[39] - t[40] + 2*t[41] - 2*t[42] + 10*t[43] - 6*t[44] + 44*t[45] - 
       84*t[47] + (199*t[48])/8 - (681*t[49])/8 - (241*t[50])/8 + 
       (27*t[51])/16 + (241*t[52])/8 + (693*t[53])/8 + (1313*t[54])/8 - 
       16*t[59] - 323*t[60] + 282*t[61] - (2737*t[62])/8 + (2661*t[63])/8 - 
       (63*t[64])/8 - (751*t[65])/6 - (1263*t[66])/4 - 56*t[69] + 40*t[70] - 
       40*t[71] - 4*t[73] + 16*t[74] - 4*t[75] + 45*t[76] - 80*t[78] + 
       22*t[79] - 20*t[80] - 90*t[81] - 8*t[82] + 4*t[83] - (193*t[84])/4 - 
       (335*t[85])/4 - 42*t[86] + (181*t[87])/4 + (181*t[88])/8 - 
       (521*t[89])/2 + 40*t[99] - 110*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*(-36*t[2] - 27*t[3] - (651*t[4])/4 - 
       (279*t[5])/8 - (717*t[6])/8 + (795*t[7])/8 + (543*t[8])/8 + 
       (699*t[9])/4 - (657*t[10])/8 + (1467*t[11])/4 + (1731*t[12])/8 + 
       (5341*t[13])/48 + (493*t[14])/8 - (123*t[15])/2 + (3*t[22])/2 - 
       (3*t[32])/2 + 36*t[41] - 36*t[42] + (249*t[43])/8 - 99*t[45] + 
       162*t[47] + 36*t[59] - 51*t[60] + 612*t[61] - (3153*t[62])/8 + 
       (2037*t[63])/8 + (4557*t[64])/8 - (86*t[65])/3 - (1545*t[66])/2 + 
       78*t[77] + 339*t[80] + 36*t[82] - 16*t[83] - (9*t[86])/2 - 
       (441*t[89])/4 + 40*t[99] - 110*t[100]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u]*(13*t[3] + 3*t[4] - (17*t[5])/2 - 
       4*t[6] + (65*t[7])/2 - (45*t[8])/2 + 31*t[9] - (193*t[10])/2 + 
       33*t[11] + (13*t[12])/2 + (86*t[13])/9 - (131*t[14])/6 - 
       (74*t[15])/3 - 2*t[22] + 2*t[32] + (13*t[43])/2 - 29*t[45] + 
       58*t[47] - 20*t[60] + 6*t[61] - 40*t[62] + 8*t[63] + 156*t[64] - 
       (74*t[65])/3 - 66*t[66] + 2*t[77] + 64*t[80] + 2*t[82] + 104*t[86] - 
       14*t[89] - 108*t[100]) + HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w]*
      (-t[2] - 3*t[3] + 27*t[4] - 49*t[5] + 72*t[6] - 108*t[7] + 182*t[8] + 
       54*t[9] - (159*t[10])/2 + 70*t[11] + 76*t[12] + 59*t[13] - 
       (259*t[14])/24 - (461*t[15])/6 + 4*t[18] + (23*t[19])/6 + 20*t[21] - 
       20*t[23] + 12*t[24] - 48*t[31] - 16*t[35] - (9*t[37])/2 + 18*t[41] - 
       18*t[42] - 12*t[43] - 74*t[45] + 160*t[47] + 62*t[48] - 13*t[49] - 
       42*t[50] + (13*t[51])/8 + 42*t[52] + 13*t[53] + 55*t[54] - 96*t[60] + 
       89*t[61] - (661*t[62])/4 - (27*t[63])/4 + 366*t[64] + 94*t[65] - 
       (287*t[66])/3 - 12*t[69] - 12*t[70] + 12*t[71] + 26*t[76] - 30*t[78] + 
       48*t[79] + 60*t[80] + 24*t[81] - 22*t[82] - 16*t[83] + 18*t[84] - 
       15*t[85] + 26*t[86] + 107*t[87] + (107*t[88])/2 + (125*t[89])/2 - 
       108*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((5*t[1])/4 - 3*t[2] - (13*t[3])/2 - (107*t[4])/4 + (19*t[5])/8 + 
       (23*t[6])/4 + (225*t[7])/8 - (79*t[8])/8 - (57*t[9])/8 + 
       (369*t[10])/8 - (7*t[11])/2 - (59*t[12])/8 - (1363*t[13])/36 + 
       (913*t[14])/24 + (257*t[15])/8 - 6*t[18] + (3*t[22])/2 - 6*t[23] - 
       20*t[35] + 8*t[37] + 3*t[41] - (13*t[42])/4 + (93*t[43])/8 + 
       12*t[44] + (15*t[45])/2 + 10*t[46] - 33*t[47] + (27*t[48])/4 + 
       (7*t[49])/2 - (13*t[50])/4 + (5*t[51])/4 + (19*t[52])/4 - 
       (7*t[53])/2 + (37*t[54])/4 + 14*t[59] + 17*t[60] + (327*t[61])/4 - 
       5*t[62] + (27*t[63])/4 - (381*t[64])/2 - (115*t[65])/6 - 52*t[66] + 
       14*t[69] - 4*t[70] + 4*t[71] - 4*t[74] - 6*t[75] - t[77] - 20*t[79] - 
       17*t[80] + 5*t[81] - 17*t[82] + 25*t[83] + (7*t[84])/2 - 14*t[85] - 
       32*t[86] + 5*t[87] + (5*t[88])/2 - (103*t[89])/4 + 24*t[99] - 
       108*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      (-15*t[1] - (43*t[3])/2 + (343*t[4])/4 - (97*t[5])/4 + (117*t[6])/4 - 
       6*t[7] + 10*t[8] + (183*t[9])/4 + (85*t[10])/8 + t[11]/4 + 
       (241*t[12])/8 + (187*t[13])/6 + (81*t[14])/2 + (149*t[15])/12 + 
       10*t[25] + t[26] + 12*t[28] + 12*t[31] - 12*t[35] - 12*t[36] + 
       5*t[37] - 13*t[38] + 12*t[39] - 12*t[40] + 12*t[45] + (47*t[46])/4 - 
       24*t[47] + (45*t[48])/4 - (93*t[49])/8 - (79*t[50])/4 - (21*t[51])/4 + 
       (79*t[52])/4 - (9*t[53])/8 + (73*t[54])/4 + (67*t[59])/4 + 
       (463*t[60])/4 + (483*t[61])/4 + 108*t[62] - (329*t[63])/4 - 
       (1351*t[64])/4 - (79*t[65])/2 - 150*t[66] + 14*t[69] - 4*t[70] + 
       4*t[71] + 8*t[74] - 2*t[75] + 12*t[77] + 12*t[78] - 10*t[79] - 
       18*t[80] + 14*t[81] - 14*t[82] - 35*t[83] + 23*t[84] + 10*t[85] - 
       152*t[86] - (333*t[87])/4 - (327*t[88])/8 + (71*t[89])/8 + 24*t[99] - 
       108*t[100]) + HPL[{0, 1}, 1 - u]*Qep[u, v, w]*
      ((248*t[1])/9 + (232*t[2])/9 - (22*t[3])/3 + (16*t[4])/9 - 
       (259*t[5])/9 + (1066*t[6])/9 + (730*t[7])/9 + (1294*t[8])/9 + 
       (1027*t[9])/9 - (1966*t[10])/9 + (446*t[11])/9 - (193*t[12])/9 - 
       (7691*t[13])/81 + (427*t[14])/9 - (1097*t[15])/54 + (64*t[26])/9 - 
       (128*t[27])/9 + (256*t[28])/9 + (128*t[29])/9 - (128*t[30])/9 - 
       (128*t[31])/3 + (128*t[32])/9 - (128*t[33])/9 - (64*t[34])/9 - 
       64*t[35] + (64*t[37])/3 + (256*t[39])/9 - (256*t[40])/9 + 
       (32*t[41])/9 - (32*t[42])/9 + (316*t[43])/9 - (128*t[44])/9 - 
       (224*t[45])/9 - (16*t[46])/3 + 64*t[47] + (736*t[48])/9 - 
       (244*t[49])/9 + (32*t[50])/3 + (62*t[51])/9 + (224*t[52])/9 + 
       (244*t[53])/9 + (424*t[54])/9 + (64*t[58])/9 + 24*t[59] + 
       (104*t[60])/9 + (1528*t[61])/9 - (340*t[62])/9 - (1180*t[63])/9 + 
       220*t[64] - (1820*t[65])/27 - (2548*t[66])/27 + (64*t[69])/3 - 
       (32*t[73])/3 + (32*t[75])/3 - (448*t[76])/9 - 16*t[77] + 
       (256*t[78])/9 + (448*t[80])/9 - (16*t[81])/3 - (128*t[82])/3 - 
       (128*t[83])/3 + 32*t[84] - (776*t[85])/9 + (224*t[86])/3 + 
       (616*t[87])/9 + (308*t[88])/9 + (76*t[89])/3 - (64*t[97])/9 - 
       (1024*t[98])/3 + (1024*t[99])/3 - (320*t[100])/3) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*((43*t[1])/12 - 
       (49*t[2])/72 - (7*t[3])/18 + (671*t[4])/288 - (1669*t[5])/144 - 
       7*t[6] + (113*t[7])/4 - (7*t[8])/36 + (3175*t[9])/144 + 
       (1105*t[10])/192 + (4897*t[11])/144 + (1179*t[12])/64 + 
       (1027*t[13])/864 + (41917*t[14])/3456 - (9187*t[15])/1728 - 
       (43*t[25])/9 + (101*t[26])/36 + (40*t[27])/9 - (8*t[28])/9 - 
       (40*t[29])/9 + (67*t[30])/9 - (121*t[31])/9 + (2*t[34])/9 - 9*t[35] - 
       (23*t[36])/6 - (13*t[37])/3 + (7*t[38])/4 - (4*t[39])/9 + 
       (4*t[40])/9 - t[41]/9 + t[42]/9 - (43*t[43])/18 + (4*t[44])/9 - 
       (211*t[46])/72 - (121*t[48])/8 - (1349*t[49])/192 + (39*t[50])/8 + 
       (13195*t[51])/1152 - (431*t[52])/72 + (495*t[53])/64 - 
       (349*t[54])/96 - (2*t[58])/9 + (257*t[59])/72 + (4465*t[60])/288 + 
       (383*t[61])/96 - (44443*t[62])/576 - (13271*t[63])/192 + 
       (37465*t[64])/576 - (20321*t[65])/864 - (3979*t[66])/96 + 
       (25*t[72])/3 - t[74]/6 - (40*t[75])/3 + (74*t[76])/9 + (2*t[77])/9 - 
       (248*t[78])/9 + (19*t[79])/6 + (29*t[80])/3 - (23*t[81])/36 - 
       (107*t[82])/18 + (43*t[83])/3 - (1969*t[84])/288 - (137*t[85])/288 + 
       (1559*t[86])/18 - (1703*t[87])/96 - (1703*t[88])/192 - 
       (4613*t[89])/576 + (2*t[97])/9 + (158*t[98])/3 - (158*t[99])/3 - 
       (619*t[100])/6) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((9*t[1])/2 + (7*t[2])/6 - (83*t[3])/12 - 
       23*t[4] - (29*t[5])/24 + (265*t[6])/12 + (29*t[7])/4 + (397*t[8])/12 + 
       (707*t[9])/24 - (181*t[10])/12 - 19*t[11] - (151*t[12])/24 - 
       (503*t[13])/72 + (3181*t[14])/144 + (1507*t[15])/144 - t[16]/3 - 
       (2*t[19])/3 + 4*t[25] - (25*t[26])/3 - 4*t[27] + 4*t[28] + 2*t[29] + 
       4*t[31] + t[34]/3 - 2*t[35] + 2*t[36] + (14*t[37])/3 + (14*t[38])/3 + 
       (16*t[39])/3 - 4*t[40] - t[41]/6 + t[42]/6 + (8*t[45])/3 - t[46]/2 - 
       (16*t[47])/3 + (173*t[48])/12 + (61*t[49])/4 - (55*t[50])/4 + 
       (57*t[51])/16 + (59*t[52])/4 - (23*t[53])/4 + (487*t[54])/12 - 
       (2*t[58])/3 - (2*t[59])/3 + (101*t[60])/6 + (457*t[61])/6 + 
       (345*t[62])/8 + (1351*t[63])/24 - (275*t[64])/12 + (49*t[65])/36 - 
       (1717*t[66])/36 + t[67]/3 + 2*t[69] - (8*t[70])/3 + (8*t[71])/3 - 
       4*t[72] + 2*t[73] + 8*t[75] + (10*t[76])/3 + (10*t[77])/3 + 7*t[78] + 
       2*t[79] - (10*t[80])/3 + (43*t[81])/6 - (23*t[82])/6 - 32*t[83] - 
       (11*t[84])/4 - 12*t[85] - (166*t[86])/3 - 56*t[87] - (124*t[88])/3 - 
       (451*t[89])/24 + (28*t[95])/3 + (8*t[96])/3 - t[97] + 24*t[98] - 
       16*t[99] - (203*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-7*t[1])/3 - (121*t[2])/12 - (23*t[3])/6 - 
       (341*t[4])/6 + (301*t[5])/12 + (115*t[6])/12 + (527*t[7])/24 + 
       (89*t[8])/8 + (989*t[9])/24 + 8*t[10] + (68*t[11])/3 + 
       (1003*t[12])/24 + (515*t[13])/54 + (8113*t[14])/144 + (97*t[15])/144 + 
       (5*t[17])/6 + (4*t[18])/3 + 8*t[19] - (2*t[21])/3 + (4*t[22])/3 + 
       (10*t[23])/3 - 2*t[24] + (4*t[25])/3 - (5*t[26])/3 - (4*t[27])/3 + 
       6*t[28] - 4*t[30] + 4*t[31] - (2*t[32])/3 + (2*t[33])/3 + 
       (13*t[34])/3 + 2*t[35] - 6*t[37] + (2*t[38])/3 + (10*t[39])/3 + 
       (5*t[40])/3 - (13*t[41])/3 + (11*t[42])/3 - (65*t[43])/8 - 
       (2*t[44])/3 + (9*t[45])/4 + t[46]/2 + t[47]/6 + (41*t[48])/12 - 
       (41*t[49])/24 - (33*t[50])/4 + (143*t[51])/48 + (23*t[52])/12 + 
       (41*t[53])/24 + 21*t[54] + t[58]/3 - 5*t[59] + (605*t[60])/12 + 
       (1807*t[61])/12 - (205*t[62])/2 - (71*t[63])/6 - (265*t[64])/24 + 
       (290*t[65])/9 - (4397*t[66])/36 + (4*t[67])/3 + 4*t[69] - 4*t[70] + 
       4*t[71] - (26*t[74])/3 + 5*t[76] - (4*t[77])/3 - (2*t[78])/3 + 
       10*t[79] + (133*t[80])/3 + (28*t[81])/3 - 7*t[82] - 10*t[83] + 
       (61*t[84])/6 - (29*t[85])/3 + (50*t[86])/3 - (89*t[87])/3 - 
       (89*t[88])/6 - (643*t[89])/24 - t[94] + (2*t[97])/3 + 24*t[98] - 
       16*t[99] - (203*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(18*t[1] + (15*t[2])/2 - 20*t[3] - 
       (201*t[4])/2 - (21*t[5])/2 - (57*t[6])/4 - (295*t[7])/2 - 47*t[8] + 
       34*t[9] + (537*t[10])/4 + (305*t[11])/4 + (55*t[12])/4 + 
       (637*t[13])/6 + (1041*t[14])/8 + (35*t[15])/12 + 3*t[17] + 12*t[21] - 
       12*t[23] - 12*t[24] - 30*t[31] + 6*t[41] - 6*t[42] + 7*t[43] - 
       12*t[45] - 3*t[46] + 24*t[47] + (111*t[48])/4 - (69*t[49])/4 - 
       (41*t[50])/4 + (87*t[51])/8 + (41*t[52])/4 + (69*t[53])/4 + 
       (75*t[54])/4 + 18*t[59] + (9*t[60])/2 + (163*t[61])/2 - 
       (203*t[62])/4 + (557*t[63])/4 - (205*t[64])/4 + (266*t[65])/3 - 
       (716*t[66])/3 - 3*t[67] - 12*t[69] - 6*t[74] + 51*t[79] + 12*t[80] + 
       21*t[81] - 21*t[82] - 14*t[83] + 19*t[84] - (11*t[85])/2 - 175*t[86] + 
       (7*t[87])/2 + (7*t[88])/4 + (53*t[89])/4 + 3*t[94] - 96*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-191*t[1])/36 - (145*t[2])/12 + (133*t[3])/6 + (373*t[4])/24 + 
       (241*t[5])/4 - (467*t[6])/24 - (2269*t[7])/24 - (511*t[8])/8 - 
       (2699*t[9])/24 + (6503*t[10])/48 - (187*t[11])/6 - (551*t[12])/48 - 
       (877*t[13])/48 - (3961*t[14])/288 + (533*t[15])/12 - (14*t[18])/3 - 
       (8*t[19])/3 - 3*t[20] - t[21] + (5*t[22])/3 + t[23] - 4*t[24] - 
       (10*t[25])/3 - t[26]/2 + 2*t[27] + (17*t[28])/3 + (4*t[29])/3 + 
       (5*t[30])/3 + (4*t[31])/3 - (19*t[32])/3 + (22*t[33])/3 - 
       (61*t[34])/6 - 27*t[35] - 9*t[36] + t[37] + (4*t[38])/3 + 
       (32*t[40])/3 - (17*t[41])/12 + (19*t[42])/12 - (47*t[43])/8 + 
       4*t[44] + (557*t[45])/12 + 2*t[46] - (553*t[47])/6 - (83*t[48])/12 - 
       (67*t[49])/16 - (221*t[50])/12 + (65*t[51])/96 + (5*t[52])/4 + 
       (65*t[53])/48 - (79*t[54])/24 - (25*t[58])/6 + (421*t[59])/36 + 
       (1561*t[60])/24 - (29*t[61])/8 + (4441*t[62])/48 + (6407*t[63])/48 - 
       (11387*t[64])/48 - (5021*t[65])/72 + (2531*t[66])/72 - (10*t[68])/3 + 
       7*t[69] + (5*t[70])/3 - (5*t[71])/3 + 5*t[72] + 4*t[73] - 
       (5*t[74])/3 + 8*t[75] + (31*t[76])/6 + (67*t[77])/6 - (41*t[78])/6 + 
       3*t[79] - (400*t[80])/3 + (50*t[81])/3 - (49*t[82])/6 - 72*t[83] + 
       (241*t[84])/24 - (31*t[85])/24 - (557*t[86])/3 - (2195*t[87])/24 - 
       (2251*t[88])/48 - (2525*t[89])/48 - (2*t[90])/3 + (13*t[97])/6 + 
       48*t[98] - 90*t[99] - 89*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((-29*t[1])/4 - 2*t[2] - (127*t[3])/4 - 
       (41*t[4])/4 + (103*t[5])/2 - (239*t[6])/8 + 14*t[7] + (11*t[8])/2 - 
       (215*t[9])/4 + (867*t[10])/8 + (331*t[11])/8 - (139*t[12])/8 + 
       (3205*t[13])/72 + (2027*t[14])/48 + (4007*t[15])/72 + t[22] + t[25] - 
       (7*t[26])/2 + 7*t[27] - 14*t[28] - 7*t[29] + 13*t[30] - 6*t[32] + 
       6*t[33] + (15*t[34])/2 - 12*t[35] - 2*t[38] - 13*t[39] + 
       (23*t[40])/2 - (9*t[41])/4 + (9*t[42])/4 + (9*t[43])/2 + 7*t[44] + 
       12*t[45] + 3*t[46] - (69*t[47])/2 - (313*t[48])/8 + (73*t[49])/8 - 
       (9*t[50])/8 - (37*t[51])/16 - (107*t[52])/8 - (73*t[53])/8 - 
       (117*t[54])/8 - (7*t[58])/2 + t[59] + 44*t[60] + 77*t[61] - 49*t[62] + 
       (221*t[63])/2 - 90*t[64] - 16*t[65] - 21*t[66] + 28*t[76] + 8*t[77] - 
       16*t[78] + 2*t[80] + 12*t[81] - 12*t[82] - 6*t[84] + 26*t[85] - 
       16*t[86] - 58*t[87] - 29*t[88] - (57*t[89])/2 + 4*t[97] + 228*t[98] - 
       228*t[99] - (177*t[100])/2) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((17*t[1])/4 - (61*t[2])/4 + (141*t[3])/4 + 
       2*t[4] + (63*t[5])/4 - (149*t[6])/2 - (5*t[7])/2 - 107*t[8] + 
       (7*t[9])/4 + 32*t[10] + (35*t[11])/2 + 13*t[12] - (133*t[13])/24 - 
       52*t[14] - (379*t[15])/18 - 7*t[25] - (9*t[26])/2 + 7*t[27] - 
       14*t[28] - 7*t[29] + 13*t[30] - 9*t[31] + (5*t[34])/2 - 14*t[35] - 
       6*t[36] - t[37] + (17*t[38])/2 - (13*t[39])/2 + 7*t[40] - 
       (5*t[41])/4 + (5*t[42])/4 - (7*t[43])/2 + 6*t[44] + t[46]/2 - 
       (95*t[48])/2 - 11*t[49] - t[50]/2 + (39*t[51])/2 - 18*t[52] + 
       (31*t[53])/2 - (25*t[54])/2 - (7*t[58])/2 - (3*t[59])/4 + 
       (13*t[60])/4 - (447*t[61])/4 - (467*t[62])/4 - (73*t[63])/4 + 
       (871*t[64])/8 - (419*t[65])/6 - (89*t[66])/4 - 6*t[74] - 32*t[75] + 
       (89*t[76])/2 + (9*t[77])/2 - 83*t[78] + 44*t[79] + 13*t[80] + 
       (5*t[81])/2 + (7*t[82])/2 + 40*t[83] - (69*t[84])/2 + (23*t[85])/2 + 
       120*t[86] - (97*t[87])/2 - (97*t[88])/4 - (393*t[89])/8 + 3*t[96] + 
       (11*t[97])/2 + 228*t[98] - 228*t[99] - (177*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-11*t[1])/3 + (41*t[2])/2 + (257*t[3])/8 - (17*t[4])/3 - 
       (637*t[5])/48 - (911*t[6])/16 + (631*t[7])/24 - (1867*t[8])/24 + 
       (767*t[9])/48 - (301*t[10])/8 + (349*t[11])/48 + (199*t[12])/16 - 
       (6365*t[13])/432 - (1159*t[14])/72 - (22627*t[15])/864 - t[17]/6 + 
       (11*t[18])/3 + 13*t[20] - (29*t[22])/3 - (8*t[23])/3 + (2*t[24])/3 + 
       2*t[27] - 13*t[28] - (8*t[29])/3 - 11*t[30] - 2*t[31] - (13*t[32])/2 - 
       10*t[33] + (29*t[34])/3 + 17*t[35] - 4*t[36] - 2*t[37] - (4*t[38])/3 + 
       (28*t[39])/3 - 6*t[40] + (3*t[41])/2 - (5*t[42])/6 - t[43]/2 - 
       (13*t[44])/6 - (91*t[45])/6 + 5*t[46] + (62*t[47])/3 - 
       (361*t[48])/48 + (193*t[49])/12 - (193*t[50])/48 - (73*t[51])/8 + 
       (59*t[52])/16 - (161*t[53])/12 - (1219*t[54])/48 + (2*t[56])/3 + 
       (8*t[57])/3 - (31*t[59])/6 - (1259*t[60])/24 - (589*t[61])/24 - 
       (533*t[62])/16 - (1289*t[63])/48 + (4447*t[64])/48 - (571*t[65])/72 - 
       (5905*t[66])/72 + (5*t[67])/3 + (2*t[68])/3 - 7*t[69] - (11*t[70])/3 + 
       (11*t[71])/3 + 8*t[72] + 2*t[73] + (13*t[74])/3 - 7*t[75] + 
       (67*t[76])/3 + t[77]/3 - 32*t[78] + 12*t[79] + (70*t[80])/3 + 
       (7*t[81])/2 + (58*t[82])/3 + 42*t[83] - (95*t[84])/8 + 
       (205*t[85])/24 + (292*t[86])/3 - (151*t[87])/24 - (775*t[88])/48 - 
       (557*t[89])/16 + t[90]/3 + 4*t[95] + (26*t[96])/3 + (2*t[97])/3 + 
       100*t[98] - 96*t[99] - 88*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(t[1]/12 - (1655*t[2])/144 - 
       (725*t[3])/36 + (26893*t[4])/576 + (5891*t[5])/144 + (607*t[6])/32 - 
       (117*t[7])/8 + (1171*t[8])/18 - (4457*t[9])/144 + (36047*t[10])/384 + 
       (3481*t[11])/36 + (913*t[12])/128 + (64337*t[13])/1728 + 
       (276551*t[14])/6912 + (73597*t[15])/3456 + t[19]/3 - t[21] + t[23] + 
       (2*t[25])/9 + (1057*t[26])/72 - (19*t[27])/18 - (17*t[28])/9 + 
       (19*t[29])/18 - (29*t[30])/36 - (265*t[31])/9 - (199*t[34])/36 - 
       (51*t[35])/2 + (23*t[36])/12 - (109*t[37])/12 - (95*t[38])/8 - 
       (13*t[39])/9 + (53*t[40])/18 + (127*t[41])/72 - (127*t[42])/72 + 
       (193*t[43])/36 - (37*t[44])/18 - 4*t[45] + (67*t[46])/9 + 7*t[47] + 
       (1105*t[48])/32 + (5717*t[49])/384 - (495*t[50])/32 - 
       (70927*t[51])/2304 + (3775*t[52])/288 - (727*t[53])/128 - 
       (6293*t[54])/192 + (19*t[58])/36 + (1573*t[59])/144 + 
       (3431*t[60])/576 + (3577*t[61])/192 - (21449*t[62])/1152 - 
       (34021*t[63])/384 + (230603*t[64])/1152 - (15379*t[65])/1728 + 
       (2431*t[66])/192 + t[67]/2 + t[69] + t[72]/3 - (115*t[74])/6 + 
       (59*t[75])/3 - (253*t[76])/36 - (34*t[77])/9 - (86*t[78])/9 + 
       (377*t[79])/12 + (2*t[80])/3 + (301*t[81])/36 - (437*t[82])/72 - 
       (683*t[83])/12 + (3901*t[84])/576 - (17383*t[85])/576 + 
       (1309*t[86])/36 + (8819*t[87])/192 + (8099*t[88])/384 + 
       (38357*t[89])/1152 - (5*t[95])/2 + 3*t[96] + (53*t[97])/36 - 
       (35*t[98])/6 + (23*t[99])/6 - (1043*t[100])/12) + 
     HPL[{0, 1}, 1 - w]*Qep[w, u, v]*(16*t[1] + (80*t[2])/9 - (496*t[3])/9 + 
       (1472*t[4])/9 - (200*t[5])/9 + (200*t[6])/3 + 16*t[7] + 
       (1696*t[8])/9 - (64*t[9])/9 + (328*t[10])/3 + (992*t[11])/9 - 
       (208*t[12])/3 + (472*t[13])/27 + (4504*t[14])/27 + (484*t[15])/27 + 
       (64*t[25])/9 - (32*t[26])/9 - (64*t[27])/9 + (128*t[28])/9 + 
       (64*t[29])/9 - (160*t[30])/9 - (320*t[31])/9 - (32*t[34])/9 - 
       (128*t[35])/3 - (32*t[36])/3 - (64*t[37])/3 + (64*t[39])/9 - 
       (64*t[40])/9 + (16*t[41])/9 - (16*t[42])/9 + (32*t[43])/9 - 
       (64*t[44])/9 + (56*t[46])/9 + (280*t[48])/3 + (208*t[49])/3 - 
       (8*t[50])/3 - (452*t[51])/9 + (184*t[52])/9 - (232*t[53])/3 - 
       (64*t[54])/3 + (32*t[58])/9 + (176*t[59])/9 + (1288*t[60])/9 + 
       336*t[61] - (476*t[62])/9 - (164*t[63])/3 - (2188*t[64])/9 - 
       (1760*t[65])/27 - (2144*t[66])/9 + (128*t[75])/3 - (416*t[76])/9 - 
       (32*t[77])/9 + (896*t[78])/9 - (128*t[79])/3 + (64*t[80])/3 + 
       (224*t[81])/9 - (128*t[82])/9 - (224*t[83])/3 + (656*t[84])/9 - 
       (272*t[85])/9 - (640*t[86])/9 - (8*t[87])/3 - (4*t[88])/3 - 
       (4*t[89])/9 - (32*t[97])/9 - (704*t[98])/3 + (704*t[99])/3 - 
       (256*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*
      (t[1]/2 + (3*t[2])/2 + (31*t[3])/8 - (79*t[4])/4 + (37*t[5])/2 + 
       (41*t[6])/2 - (347*t[7])/4 + (103*t[8])/4 - (277*t[9])/4 + 
       (529*t[10])/8 - (61*t[11])/4 + (287*t[12])/8 - (131*t[13])/24 + 
       (947*t[14])/48 + (2843*t[15])/144 - (5*t[17])/2 - 3*t[19] - t[20] + 
       3*t[21] + 4*t[22] - 3*t[23] + 6*t[24] - 3*t[27] - (7*t[29])/2 + 
       (3*t[30])/2 + 32*t[31] + (11*t[32])/2 + 16*t[33] - t[34] + 2*t[37] - 
       (29*t[39])/2 + 4*t[40] + 3*t[41] - 3*t[42] + (11*t[43])/2 + 
       (19*t[44])/4 + 2*t[45] - 3*t[47] - (79*t[48])/4 - (113*t[49])/8 - 
       (77*t[50])/4 + (133*t[51])/16 + (103*t[52])/4 + (113*t[53])/8 + 
       (159*t[54])/4 + 2*t[55] + 2*t[56] - (45*t[60])/2 + (87*t[61])/2 + 
       (93*t[62])/8 + (1499*t[63])/8 - (81*t[64])/4 - (1337*t[65])/12 + 
       (853*t[66])/12 + 5*t[68] + 2*t[70] - 2*t[71] - 33*t[72] - 24*t[73] + 
       t[74] + 68*t[75] - 34*t[76] - 11*t[77] + 55*t[78] + 28*t[79] - 
       8*t[80] - 16*t[81] + 11*t[82] - 2*t[83] - (159*t[84])/4 - 
       (155*t[85])/4 - 64*t[86] + (45*t[87])/4 + (109*t[88])/8 - 
       (447*t[89])/8 - 4*t[93] - 2*t[95] - 2*t[96] + t[97] - 168*t[98] + 
       228*t[99] - 81*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 
       1 - v]*(t[1]/2 - (59*t[2])/4 - (231*t[3])/8 - (11*t[4])/2 + 
       (123*t[5])/8 - 9*t[6] + 88*t[7] - 28*t[8] + (301*t[9])/8 - 23*t[10] + 
       (45*t[11])/2 - (151*t[12])/8 - (131*t[13])/24 + (33*t[14])/2 + 
       (131*t[15])/9 + (3*t[17])/2 + 3*t[19] + t[20] + 3*t[21] - 4*t[22] - 
       (3*t[23])/2 - 2*t[24] - 3*t[27] - 2*t[29] + (3*t[30])/2 - 32*t[31] - 
       4*t[32] - (7*t[33])/2 - t[34] - 4*t[37] + (3*t[39])/2 + (11*t[40])/2 - 
       t[41]/2 + t[42]/2 - (13*t[43])/2 - (19*t[44])/4 + 2*t[45] - 3*t[47] + 
       (119*t[48])/4 + (13*t[49])/4 + (97*t[50])/4 - (23*t[51])/8 - 
       (83*t[52])/4 - (13*t[53])/4 - 22*t[54] - 2*t[55] - 2*t[56] + 
       (33*t[59])/4 + (147*t[60])/4 + (305*t[61])/2 - (279*t[62])/4 - 
       (27*t[63])/4 + (219*t[64])/8 + (39*t[65])/2 - 76*t[66] + t[67] - 
       3*t[68] + 3*t[69] - t[70] + t[71] + 39*t[72] + 24*t[73] + 3*t[74] - 
       68*t[75] - 10*t[76] - 8*t[77] - 13*t[78] - 28*t[79] + 4*t[80] + 
       3*t[81] + 2*t[83] + 30*t[84] - 18*t[85] + 60*t[86] + 29*t[87] + 
       (45*t[88])/2 - (43*t[89])/4 + 4*t[93] - 2*t[95] - 2*t[96] + t[97] - 
       168*t[98] + 228*t[99] - 81*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - w]*((-11*t[1])/6 + 7*t[2] + (23*t[3])/6 - 
       (749*t[4])/24 + (39*t[5])/8 - (21*t[6])/16 + (25*t[7])/4 - 
       (43*t[8])/3 + (331*t[9])/12 - (643*t[10])/24 - (69*t[11])/16 + 
       (725*t[12])/24 - (331*t[13])/72 + (937*t[14])/96 - (39*t[15])/4 + 
       2*t[16] + (2*t[24])/3 - 2*t[25] + (10*t[26])/3 - t[27]/3 + 
       (31*t[28])/3 - (7*t[29])/3 - (44*t[30])/3 + (8*t[31])/3 + t[32] - 
       t[33] - t[34] + 4*t[35] + (17*t[36])/3 + (7*t[37])/2 - (5*t[38])/6 + 
       (19*t[39])/3 - 3*t[40] + (5*t[43])/6 + (29*t[44])/6 - t[45] - 
       (4*t[46])/3 + t[47] + (25*t[48])/16 - (17*t[49])/3 + (95*t[50])/48 + 
       (203*t[51])/32 + (97*t[52])/48 + (227*t[53])/12 + (189*t[54])/16 + 
       (5*t[59])/12 - (109*t[60])/3 + (191*t[61])/24 - (195*t[62])/8 + 
       (41*t[63])/2 + (173*t[64])/16 + (25*t[65])/3 - (3575*t[66])/72 - 
       (2*t[68])/3 + (7*t[72])/3 - 9*t[73] + t[74]/3 - 16*t[75] + 
       (101*t[76])/6 - (169*t[78])/6 + (7*t[79])/2 + t[80] - t[81]/3 + 
       (11*t[82])/2 - (89*t[83])/6 - (145*t[84])/24 - (331*t[85])/24 + 
       (49*t[86])/6 - (83*t[87])/8 - (155*t[88])/16 - (59*t[89])/3 + 
       (22*t[95])/3 + (13*t[96])/2 + 3*t[97] + 60*t[98] - 60*t[99] - 
       79*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-11*t[1])/6 + (25*t[2])/12 + (137*t[3])/24 - 
       (185*t[4])/24 + (5*t[5])/16 - (857*t[6])/48 + (423*t[7])/16 + 
       (617*t[8])/48 + (565*t[9])/12 - 85*t[10] + (1565*t[11])/24 + 2*t[12] + 
       (26609*t[13])/864 + (4325*t[14])/288 - (491*t[15])/24 - t[18]/3 - 
       t[20] + (4*t[22])/3 + t[25]/6 - (5*t[26])/3 - (23*t[27])/6 + 
       (22*t[28])/3 + (23*t[29])/3 - (20*t[30])/3 - 6*t[31] - t[32] + 
       t[33]/3 + (4*t[34])/3 + 6*t[35] + t[36] + (10*t[39])/3 + 3*t[40] - 
       t[41]/3 + t[42]/3 + (167*t[43])/48 - (26*t[44])/3 - (35*t[45])/8 - 
       (19*t[46])/6 + (305*t[47])/12 + (365*t[48])/24 + (53*t[49])/48 - 
       (331*t[50])/24 + (187*t[51])/32 + (187*t[52])/24 - (101*t[53])/48 + 
       (89*t[54])/12 - t[58]/2 - (11*t[59])/3 + (49*t[60])/4 + 
       (125*t[61])/3 - (1057*t[62])/8 + (711*t[63])/8 + (2309*t[64])/12 + 
       (1829*t[65])/36 - (937*t[66])/6 + t[68] + (40*t[72])/3 - 20*t[73] + 
       (2*t[74])/3 + 24*t[75] + 11*t[76] - (2*t[77])/3 + 15*t[78] - 8*t[79] + 
       (167*t[80])/3 + (2*t[81])/3 - (8*t[82])/3 - (68*t[83])/3 + 
       (4*t[84])/3 - (29*t[85])/2 + (277*t[86])/3 - (11*t[87])/6 - 
       (11*t[88])/12 + (143*t[89])/24 + t[92]/6 + 2*t[93] - 2*t[97] + 
       60*t[98] - 60*t[99] - (155*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v]*(-t[1] + (15*t[2])/4 - 
       (117*t[3])/8 + (441*t[4])/8 - (81*t[5])/16 + (137*t[6])/16 + 
       (25*t[7])/2 + 17*t[8] + (165*t[9])/16 + (205*t[10])/16 + 
       (1003*t[11])/16 + 8*t[12] + (43*t[13])/3 + (2311*t[14])/96 + 
       (249*t[15])/32 + 6*t[30] - 20*t[31] - 32*t[35] + (17*t[37])/2 - 
       t[43] - 3*t[44] - 3*t[45] + 9*t[47] + (37*t[48])/16 - (9*t[49])/16 + 
       (69*t[50])/16 - (39*t[51])/32 - (69*t[52])/16 + (9*t[53])/16 - 
       (107*t[54])/16 + 3*t[59] + (15*t[60])/2 + 48*t[61] - (89*t[62])/4 - 
       (59*t[63])/4 + (29*t[64])/2 - (787*t[65])/24 - (565*t[66])/12 + 
       6*t[73] - 3*t[74] - 9*t[75] - 9*t[78] - (15*t[79])/4 + (17*t[81])/4 - 
       (59*t[82])/4 + 11*t[83] - t[84] - (101*t[85])/8 - (61*t[86])/4 + 
       (93*t[87])/8 + (93*t[88])/16 - (13*t[89])/4 + 3*t[99] - 
       (153*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((443*t[1])/144 - (751*t[2])/72 + (641*t[3])/64 + 
       (6373*t[4])/144 + (51271*t[5])/1152 + (14161*t[6])/576 - 
       (2363*t[7])/576 + (11923*t[8])/576 - (77023*t[9])/1152 - 
       (68257*t[10])/576 + (39965*t[11])/576 - (50231*t[12])/1152 + 
       (653117*t[13])/10368 - (47693*t[14])/1152 - (30223*t[15])/6912 - 
       2*t[19] + (13*t[21])/2 - 6*t[22] - (13*t[23])/2 + 5*t[25] - 
       (125*t[26])/36 - (19*t[27])/18 + (19*t[28])/9 + (37*t[29])/18 - 
       (95*t[30])/36 - (7*t[31])/3 - (35*t[32])/18 + (35*t[33])/18 - 
       (451*t[34])/36 - (31*t[35])/3 + (7*t[37])/6 + 2*t[38] - (8*t[39])/9 + 
       (62*t[40])/9 - (85*t[41])/36 + (85*t[42])/36 + (989*t[43])/72 - 
       (127*t[44])/18 - (605*t[45])/36 - (67*t[46])/12 + (107*t[47])/3 + 
       (433*t[48])/36 + (665*t[49])/144 - (45*t[50])/4 - (1919*t[51])/288 + 
       (17*t[52])/9 - (665*t[53])/144 - (907*t[54])/72 + (19*t[58])/36 + 
       (37*t[59])/16 + (1909*t[60])/72 - (2437*t[61])/72 - (3395*t[62])/72 - 
       (19153*t[63])/144 + (15757*t[64])/48 + (14219*t[65])/864 - 
       (122171*t[66])/864 - (22*t[69])/3 + (55*t[73])/6 - (15*t[74])/2 - 
       (19*t[75])/6 - (511*t[76])/36 - (45*t[77])/8 + (73*t[78])/9 + 
       16*t[79] + (1897*t[80])/36 + t[81]/4 - (5*t[82])/24 - 57*t[83] + 
       (223*t[84])/24 - (43*t[85])/72 + 104*t[86] - (253*t[87])/72 - 
       (253*t[88])/144 + (3839*t[89])/48 - (73*t[97])/36 - (65*t[98])/6 + 
       (53*t[99])/6 - (212*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((5*t[1])/2 - (31*t[2])/12 - 
       (121*t[3])/24 + (69*t[4])/16 - (241*t[5])/48 - (287*t[6])/48 + 
       (149*t[7])/24 + (547*t[8])/24 + (1435*t[9])/48 - (1439*t[10])/96 + 
       (933*t[11])/16 + (5191*t[12])/96 + (917*t[13])/27 + (1793*t[14])/64 - 
       (1759*t[15])/72 - t[16] - (13*t[19])/6 + 2*t[20] + 2*t[21] - t[22] - 
       2*t[23] - (13*t[25])/6 + (2*t[26])/3 - t[27]/3 + (5*t[28])/3 + 
       (4*t[29])/3 - (10*t[30])/3 - 5*t[31] + (4*t[32])/3 - (4*t[33])/3 - 
       (5*t[34])/3 - 3*t[35] + t[36]/3 + (35*t[37])/6 + (13*t[38])/6 + 
       (43*t[39])/6 - (14*t[40])/3 + (4*t[41])/3 - (4*t[42])/3 - 
       (5*t[43])/6 - (7*t[44])/3 - (79*t[45])/12 + (10*t[46])/3 + 
       (31*t[47])/2 + (401*t[48])/48 - (1349*t[49])/96 - (979*t[50])/48 + 
       (561*t[51])/64 + (803*t[52])/48 + (2573*t[53])/96 + (93*t[54])/4 - 
       t[58]/3 - (7*t[59])/6 + (95*t[60])/48 + (967*t[61])/48 - 
       (7807*t[62])/96 - (9365*t[63])/96 + (5939*t[64])/96 - 
       (8237*t[65])/144 - (11981*t[66])/48 - t[69]/2 - 2*t[70] + 2*t[71] - 
       t[72] + 20*t[73] - (47*t[74])/6 + 15*t[75] + (187*t[76])/6 + 5*t[77] - 
       (125*t[78])/3 + (74*t[80])/3 + 15*t[81] - (43*t[82])/4 - 
       (187*t[83])/4 - (673*t[84])/48 - (31*t[85])/16 + (3*t[86])/2 - 
       (1165*t[87])/48 - (2213*t[88])/96 - (4049*t[89])/96 + 7*t[95] + 
       13*t[96] + (13*t[97])/3 + 148*t[98] - 138*t[99] - (277*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      ((149*t[2])/288 - (247*t[3])/96 - (91*t[4])/96 - (313*t[5])/288 + 
       (365*t[6])/72 + (311*t[7])/96 + (7793*t[8])/288 + (1619*t[9])/72 - 
       (3335*t[10])/192 + (133*t[11])/288 + (805*t[12])/576 + 
       (1151*t[13])/216 + (26563*t[14])/3456 - (349*t[15])/54 + (5*t[20])/4 - 
       t[22] + t[23]/6 - t[24]/36 - (4*t[27])/3 + (2*t[28])/3 + 
       (51*t[29])/8 - 5*t[30] - t[31]/36 + (25*t[32])/4 - (13*t[33])/4 + 
       (5*t[34])/6 + (19*t[35])/2 + t[36] - t[37]/2 + (4*t[39])/3 - t[40]/2 - 
       t[41]/4 + t[42]/4 + (13*t[43])/36 - (263*t[44])/48 - t[46] + t[47]/3 + 
       (1345*t[48])/144 + (2263*t[49])/576 - (643*t[50])/144 - 
       (1783*t[51])/1152 + (643*t[52])/144 - (2263*t[53])/576 + 
       (55*t[54])/96 - (95*t[59])/72 + (1189*t[60])/48 - (1051*t[61])/72 + 
       (29*t[62])/576 - (1351*t[63])/192 - (8*t[64])/3 + (25595*t[65])/864 - 
       (20627*t[66])/864 + (9*t[69])/4 - t[70] + t[71] - (5*t[72])/6 - 
       t[73] - (14*t[74])/3 + (39*t[75])/4 + 2*t[76] - t[77] + 3*t[78] + 
       (13*t[79])/48 + (5*t[80])/2 + (65*t[81])/8 - (107*t[82])/24 - 
       (427*t[83])/72 + (875*t[84])/144 + (437*t[85])/72 + (3641*t[86])/144 - 
       (455*t[87])/72 - (755*t[88])/144 + (67*t[89])/8 + (10*t[95])/3 - 
       (1613*t[100])/24) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - w]*(t[1] - t[2]/2 - (7*t[3])/3 - 5*t[4] - 
       (185*t[5])/24 + (89*t[6])/24 + (17*t[7])/3 + 4*t[8] + (77*t[9])/8 - 
       (113*t[10])/8 + (445*t[11])/24 + (29*t[12])/12 + (1457*t[13])/108 + 
       (473*t[14])/48 - (187*t[15])/48 - t[16]/2 + (4*t[25])/3 - 
       (19*t[26])/6 + (2*t[36])/3 + t[37]/3 + (7*t[38])/6 + t[40]/3 + 
       (83*t[46])/12 + t[48]/24 - (359*t[49])/24 - (41*t[50])/8 - 
       (269*t[51])/48 + (107*t[52])/24 + (149*t[53])/24 - (7*t[54])/24 + 
       t[59]/12 + (9*t[60])/4 + (199*t[61])/6 - (251*t[62])/12 - 
       (44*t[63])/3 + (763*t[64])/24 - (85*t[65])/36 - (452*t[66])/9 - 
       t[69] + (4*t[70])/3 - (4*t[71])/3 + (10*t[74])/3 - 10*t[75] + 
       (5*t[76])/3 - (17*t[78])/6 + 4*t[79] - t[80]/3 + 4*t[81] - 
       (9*t[82])/2 + (19*t[83])/2 + (71*t[84])/12 + (37*t[85])/6 + 2*t[86] + 
       (51*t[87])/4 + (191*t[88])/24 + (305*t[89])/24 - (2*t[95])/3 + t[96] + 
       t[97]/3 + 8*t[98] - 8*t[99] - 66*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*
      ((3*t[1])/4 + (13*t[2])/4 - (83*t[3])/2 + (65*t[4])/2 - (7*t[5])/2 - 
       (49*t[6])/4 + (169*t[7])/8 - (257*t[8])/8 + (187*t[9])/8 + 
       (463*t[10])/8 - (67*t[11])/8 - (23*t[12])/4 + (1769*t[13])/48 + 
       (63*t[14])/8 + (1517*t[15])/48 + (5*t[17])/2 - 2*t[18] - 36*t[20] - 
       2*t[21] - t[22]/2 + 2*t[23] - 8*t[24] + 4*t[25] - 4*t[26] + 8*t[27] - 
       32*t[28] + 7*t[29] + 12*t[30] - 4*t[31] + 4*t[32] - 6*t[33] - 
       2*t[34] + t[38] - 14*t[39] + 16*t[40] - (5*t[41])/2 + (3*t[42])/2 + 
       (41*t[43])/8 + 11*t[44] + (15*t[45])/4 + 4*t[46] - (23*t[47])/2 - 
       (129*t[48])/8 - 20*t[49] + (15*t[50])/8 + (47*t[51])/4 - 
       (163*t[52])/8 + 20*t[53] + (145*t[54])/8 + (5*t[59])/4 + 
       (57*t[60])/2 + (255*t[61])/4 - (75*t[62])/4 + (119*t[63])/4 - 
       59*t[64] - (203*t[65])/6 - (22*t[66])/3 + 4*t[70] - 4*t[71] + 
       2*t[74] - 4*t[76] + 6*t[77] + 4*t[78] - 11*t[80] + 2*t[81] - t[82] + 
       3*t[84] - 5*t[85] - 28*t[86] - t[87] - t[88]/2 - t[89] - t[92] + 
       t[94] - 24*t[98] + 36*t[99] - 66*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      ((-9*t[1])/2 + (9*t[2])/2 - (25*t[3])/2 - (151*t[4])/4 - (111*t[5])/8 + 
       (17*t[6])/4 - t[7] - 7*t[8] + (275*t[9])/8 - 27*t[10] + (99*t[11])/4 + 
       (273*t[12])/8 + (73*t[13])/9 + (621*t[14])/16 + (53*t[15])/48 + 
       3*t[16] + 5*t[25] - (3*t[26])/2 + 2*t[27] + 22*t[28] - 12*t[29] - 
       11*t[30] + 9*t[31] - 6*t[35] + 5*t[36] - t[37] - (7*t[38])/2 + 
       7*t[39] - 2*t[40] - (5*t[43])/2 + 22*t[44] + t[45] + (13*t[46])/2 - 
       2*t[47] - (79*t[48])/4 - (133*t[49])/4 - (27*t[50])/4 + 
       (129*t[51])/16 + (19*t[52])/4 + (111*t[53])/4 + (51*t[54])/2 + 
       (5*t[59])/4 + (127*t[60])/2 + (349*t[61])/4 - (435*t[62])/8 - 
       (677*t[63])/8 + (115*t[64])/4 + (457*t[65])/12 - (647*t[66])/12 + 
       t[67] - 3*t[68] + 2*t[70] - 2*t[71] + 36*t[72] + 24*t[73] + 3*t[74] - 
       68*t[75] + 14*t[76] + 3*t[77] - 45*t[78] - 28*t[79] + 4*t[80] + 
       5*t[81] - 10*t[82] + 2*t[83] + (121*t[84])/4 + (31*t[85])/4 + 
       60*t[86] + (11*t[87])/4 + (75*t[88])/8 + (115*t[89])/8 + 4*t[93] - 
       2*t[95] - 2*t[96] + t[97] - 24*t[98] + 36*t[99] - 66*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((-11*t[1])/24 + (535*t[2])/72 - (2903*t[3])/288 - (1177*t[4])/144 + 
       (377*t[5])/288 + (3043*t[6])/64 - (865*t[7])/32 + (18587*t[8])/288 - 
       (6719*t[9])/288 + (2441*t[10])/48 - (6061*t[11])/576 + (35*t[12])/16 + 
       (18355*t[13])/1728 + (72835*t[14])/1728 + (5857*t[15])/432 + t[16] - 
       3*t[18] + t[19] + (7*t[20])/2 - 2*t[21] - t[22] + 2*t[23] - 5*t[24] + 
       (41*t[25])/18 + (115*t[26])/36 - (35*t[27])/18 + (133*t[28])/18 + 
       (113*t[29])/72 - (115*t[30])/36 - (163*t[31])/18 + t[32]/2 + 
       (3*t[33])/2 - (89*t[34])/36 - (23*t[35])/2 + t[36]/3 - (31*t[37])/6 - 
       (9*t[38])/4 + (31*t[39])/9 - (133*t[40])/36 + (71*t[41])/72 - 
       (179*t[42])/72 + (2047*t[43])/288 - (1441*t[44])/144 - (57*t[45])/16 - 
       (223*t[46])/36 - (61*t[47])/8 + (1383*t[48])/64 - (257*t[49])/96 - 
       (549*t[50])/64 + (253*t[51])/144 + (12061*t[52])/576 + (91*t[53])/32 + 
       (5471*t[54])/192 - t[56]/4 - t[57]/2 + (2*t[58])/9 + (209*t[59])/36 + 
       (2461*t[60])/144 + (1153*t[61])/24 - (1361*t[62])/144 - 
       (283*t[63])/48 - (103*t[64])/144 + (775*t[65])/108 - (2131*t[66])/48 - 
       t[67]/4 - (3*t[68])/4 + t[69]/2 + 3*t[70] - 3*t[71] + (31*t[72])/6 - 
       5*t[73] + (8*t[74])/3 + (34*t[75])/3 - (191*t[76])/9 - (13*t[77])/18 + 
       (173*t[78])/36 + (13*t[79])/12 - t[80]/6 - (10*t[81])/9 - 
       (173*t[82])/36 - (157*t[83])/12 + (1907*t[84])/144 - 
       (1187*t[85])/144 - (119*t[86])/18 - (133*t[87])/24 - (133*t[88])/48 - 
       (281*t[89])/288 - t[91]/24 - t[92]/4 + t[93]/2 + t[94]/4 + t[97]/36 - 
       (221*t[98])/3 + (236*t[99])/3 - (193*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[w, u, v]*
      ((16*t[3])/9 - (88*t[4])/9 + (496*t[5])/9 + (44*t[6])/3 - 
       (176*t[7])/9 + (320*t[8])/9 + (32*t[9])/3 + (52*t[10])/3 - 
       (20*t[11])/9 - (92*t[12])/9 - (1072*t[13])/27 + (334*t[14])/9 - 
       (4*t[15])/9 - (64*t[27])/9 + (128*t[28])/9 + (64*t[29])/9 - 
       (160*t[30])/9 - (128*t[31])/3 - (128*t[35])/3 + (64*t[37])/3 + 
       (64*t[39])/9 - (64*t[44])/9 + (16*t[46])/3 + (532*t[48])/9 + 4*t[49] - 
       (140*t[50])/9 - (70*t[51])/9 + (140*t[52])/9 - 4*t[53] + 4*t[54] + 
       (32*t[59])/3 + (296*t[60])/9 - (8*t[61])/3 + 12*t[62] + 
       (772*t[63])/9 - (164*t[64])/9 + (3344*t[65])/27 + (400*t[66])/27 - 
       (64*t[72])/9 + (32*t[73])/3 + 32*t[75] + (64*t[78])/3 + 
       (176*t[81])/9 - (112*t[82])/9 - (736*t[83])/9 + (304*t[84])/9 - 
       (296*t[85])/9 - (64*t[86])/3 - (280*t[87])/9 - (140*t[88])/9 + 
       (100*t[89])/9 - 64*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((5*t[1])/2 - (65*t[2])/12 + (19*t[3])/3 + 
       (823*t[4])/48 - (49*t[5])/12 - (129*t[6])/8 + (15*t[7])/4 - 
       (589*t[8])/12 + (89*t[9])/6 + (161*t[10])/32 + (385*t[11])/12 + 
       (453*t[12])/32 + (2507*t[13])/144 + (2945*t[14])/576 - 
       (1015*t[15])/96 + 4*t[19] + 4*t[20] + 4*t[21] - 4*t[22] - 4*t[23] - 
       (4*t[25])/3 - (17*t[26])/6 + (4*t[27])/3 - (8*t[28])/3 - 
       (16*t[29])/3 + (19*t[30])/3 - (4*t[31])/3 + (2*t[34])/3 - 18*t[35] - 
       5*t[36] - 4*t[37] + (7*t[38])/2 - (4*t[39])/3 + (4*t[40])/3 + 
       (11*t[41])/3 - (11*t[42])/3 - (2*t[43])/3 + (4*t[44])/3 - 
       (59*t[46])/12 - (195*t[48])/8 - (77*t[49])/32 + (29*t[50])/8 + 
       (2543*t[51])/192 - (167*t[52])/24 + (93*t[53])/32 - (11*t[54])/16 - 
       (2*t[58])/3 - (17*t[59])/12 + (1169*t[60])/48 - (429*t[61])/16 - 
       (4919*t[62])/96 - (995*t[63])/32 + (5045*t[64])/96 - 
       (9637*t[65])/144 - (871*t[66])/16 + 4*t[72] - 5*t[74] - 14*t[75] + 
       (35*t[76])/3 + (2*t[77])/3 - (92*t[78])/3 + 24*t[79] + 2*t[80] + 
       (13*t[81])/3 - (5*t[82])/6 + 16*t[83] - (629*t[84])/48 - 
       (145*t[85])/48 + (142*t[86])/3 - (547*t[87])/16 - (547*t[88])/32 - 
       (1741*t[89])/96 + (2*t[97])/3 + 62*t[98] - 62*t[99] - 62*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-25*t[1])/12 + (25*t[2])/12 - (257*t[3])/16 + (67*t[4])/12 + 
       (1147*t[5])/96 - (83*t[6])/48 - (317*t[7])/48 + (1357*t[8])/48 - 
       (4243*t[9])/96 + (4013*t[10])/48 + (317*t[11])/48 - (1379*t[12])/96 + 
       (13841*t[13])/864 + (1519*t[14])/96 + (5747*t[15])/192 - (2*t[26])/3 + 
       (4*t[27])/3 - (32*t[28])/3 - (4*t[29])/3 + (31*t[30])/3 - 
       (4*t[32])/3 + (4*t[33])/3 + (2*t[34])/3 - 10*t[35] - (20*t[39])/3 + 
       (20*t[40])/3 - t[41]/3 + t[42]/3 - (37*t[43])/24 + (4*t[44])/3 + 
       (187*t[45])/12 + (5*t[46])/2 - (65*t[47])/2 - (41*t[48])/3 + t[49]/6 + 
       t[50] + t[51]/24 - (13*t[52])/3 - t[53]/6 - (11*t[54])/3 - 
       (2*t[58])/3 - (3*t[59])/4 + (47*t[60])/3 + (107*t[61])/6 + 
       (181*t[62])/24 + (715*t[63])/24 - (621*t[64])/8 + (71*t[65])/72 + 
       (793*t[66])/72 + (14*t[76])/3 - (9*t[77])/2 - (8*t[78])/3 - 
       (175*t[80])/6 + 2*t[81] - (21*t[82])/4 - t[84] + (13*t[85])/3 - 
       (103*t[86])/2 - (29*t[87])/3 - (29*t[88])/6 + (3*t[89])/2 + 
       (2*t[97])/3 + 62*t[98] - 62*t[99] - 62*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((22*t[1])/3 - (43*t[2])/3 - 16*t[3] - (317*t[4])/24 + (5539*t[5])/48 - 
       (487*t[6])/48 - (22*t[7])/3 + (185*t[8])/12 - (4135*t[9])/48 - 
       (1337*t[10])/48 + (5437*t[11])/48 - (911*t[12])/12 + (25*t[13])/216 - 
       (331*t[14])/96 + (9197*t[15])/288 + 5*t[17] - 4*t[19] + 20*t[20] + 
       4*t[21] - 10*t[22] - 4*t[23] + 4*t[24] - 18*t[25] - (4*t[26])/3 - 
       (28*t[27])/3 + (56*t[28])/3 - (7*t[29])/6 + (5*t[30])/3 - 20*t[31] - 
       (20*t[32])/3 + (44*t[33])/3 - (35*t[34])/3 - 40*t[35] + 2*t[36] + 
       16*t[37] + 6*t[38] - (16*t[39])/3 + (40*t[40])/3 - (7*t[41])/6 + 
       (7*t[42])/6 + (517*t[43])/24 - (61*t[44])/12 + (449*t[45])/12 + 
       2*t[46] - (83*t[47])/2 + (791*t[48])/48 + (1009*t[49])/48 - 
       (87*t[50])/16 - (163*t[51])/96 - (395*t[52])/48 - (1057*t[53])/48 - 
       (2029*t[54])/48 - t[56] + 2*t[57] - (4*t[58])/3 + (17*t[59])/2 + 
       (1049*t[60])/24 + (5275*t[61])/24 - (5561*t[62])/48 + 
       (4561*t[63])/48 + (2021*t[64])/16 - (3281*t[65])/72 - 
       (9517*t[66])/72 + 8*t[69] - 20*t[72] + 8*t[73] - 4*t[74] + 20*t[75] + 
       (127*t[76])/3 + 5*t[77] + (149*t[78])/3 + (35*t[80])/3 + 9*t[81] - 
       (73*t[82])/2 - 10*t[83] + (41*t[84])/8 - (917*t[85])/24 + 41*t[86] + 
       (61*t[87])/24 + (61*t[88])/48 - (251*t[89])/16 + t[91]/6 - 2*t[93] - 
       (8*t[97])/3 + 52*t[98] - 52*t[99] - 62*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (t[1] - 2*t[2] - (9*t[3])/4 + 29*t[4] - (17*t[5])/8 - 18*t[6] + 
       (7*t[7])/4 - (167*t[8])/4 - (83*t[9])/8 + (43*t[10])/4 + 
       (103*t[11])/2 + (97*t[12])/8 + (1105*t[13])/24 - (139*t[14])/24 + 
       (749*t[15])/48 + 4*t[19] - 4*t[21] + 4*t[23] + 2*t[25] - 2*t[26] - 
       3*t[29] + 4*t[30] + 8*t[35] - 4*t[37] - t[43] + (13*t[44])/2 + 
       8*t[45] + 4*t[46] - 16*t[47] - (43*t[48])/4 - (13*t[49])/2 + 
       (33*t[50])/4 + (9*t[51])/4 - (33*t[52])/4 + (13*t[53])/2 - 
       (57*t[54])/4 + 3*t[59] + (79*t[60])/2 + 46*t[61] + (51*t[62])/2 - 
       (91*t[63])/2 - (291*t[64])/2 + (49*t[65])/6 - (175*t[66])/2 + 
       4*t[69] + 18*t[73] + 6*t[74] - 10*t[75] + 2*t[77] + 2*t[79] - 
       16*t[80] + t[81] - 3*t[82] - 42*t[83] + 13*t[84] + (5*t[85])/2 - 
       58*t[86] - (53*t[87])/2 - (53*t[88])/4 - (43*t[89])/4 + 8*t[99] - 
       62*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(-6*t[1] + 15*t[2] + (17*t[3])/2 - (297*t[4])/2 + 
       46*t[5] - (79*t[6])/4 + 7*t[7] + 168*t[8] - (73*t[9])/2 + 
       (489*t[10])/4 - (375*t[11])/4 + (175*t[12])/4 - (548*t[13])/9 - 
       (287*t[14])/8 + (61*t[15])/2 + 4*t[26] + 9*t[29] - 24*t[31] - 
       16*t[35] + 4*t[36] - 9*t[37] - 4*t[38] - (39*t[44])/2 + 17*t[46] + 
       (153*t[48])/4 - (89*t[49])/4 - (43*t[50])/4 + (27*t[51])/8 + 
       (43*t[52])/4 + (105*t[53])/4 + (337*t[54])/4 + 6*t[59] - 
       (431*t[60])/4 - (327*t[61])/4 - (173*t[62])/4 - (171*t[63])/4 + 
       (545*t[64])/8 + (911*t[65])/6 + (2105*t[66])/12 - 2*t[67] - 4*t[73] + 
       30*t[74] - 4*t[75] - 6*t[76] - 2*t[78] + 50*t[79] + 72*t[80] + t[81] - 
       7*t[82] + 10*t[83] + (7*t[84])/4 - (159*t[85])/4 + 90*t[86] + 
       (141*t[87])/4 + (149*t[88])/8 - (43*t[89])/8 + 8*t[95] + 8*t[99] - 
       62*t[100]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-11*t[1])/2 - (207*t[2])/8 - (35*t[3])/2 - (375*t[4])/8 + 63*t[5] + 
       (463*t[6])/8 - (165*t[7])/4 + (141*t[8])/8 - (405*t[9])/8 + 
       (1033*t[10])/16 - 45*t[11] + (73*t[12])/16 - (917*t[13])/72 + 
       (921*t[14])/32 + (99*t[15])/4 + (5*t[17])/4 + 12*t[19] - 6*t[21] + 
       6*t[23] - 5*t[24] - 6*t[31] + 2*t[37] - (3*t[41])/2 + (3*t[42])/2 + 
       (33*t[43])/4 - (7*t[45])/2 - t[46]/4 - 20*t[47] + (61*t[48])/8 - 
       (167*t[49])/16 + (5*t[50])/8 + (125*t[51])/32 - (5*t[52])/8 + 
       (167*t[53])/16 + (107*t[54])/4 + 3*t[59] + (27*t[60])/4 + 
       (137*t[61])/4 + (251*t[62])/4 + (89*t[63])/2 + (173*t[64])/8 - 
       (153*t[65])/4 + (677*t[66])/12 + 2*t[67] + 16*t[69] - 2*t[70] + 
       2*t[71] - 6*t[74] + 4*t[75] + 28*t[79] + 2*t[80] + (5*t[81])/2 + 
       (11*t[82])/2 - 33*t[83] + (19*t[84])/2 - (119*t[85])/4 - 87*t[86] - 
       (13*t[87])/4 - (13*t[88])/8 - (165*t[89])/8 + t[94]/2 - 16*t[99] - 
       61*t[100]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-37*t[3])/4 + (165*t[4])/4 - (9*t[5])/4 + (149*t[6])/16 + 
       (69*t[7])/4 + (143*t[8])/4 + (35*t[9])/2 - (167*t[10])/8 + 
       (841*t[11])/16 + (15*t[12])/4 + (103*t[13])/4 + (59*t[14])/16 + 
       (33*t[15])/8 - (3*t[16])/2 + (27*t[25])/2 - (13*t[26])/2 + 13*t[37] - 
       2*t[38] + (33*t[46])/4 + (53*t[48])/16 - (157*t[49])/8 - 
       (19*t[50])/16 + (9*t[51])/4 + (19*t[52])/16 + (161*t[53])/8 - 
       (121*t[54])/16 + (5*t[59])/2 + (655*t[60])/8 + (49*t[61])/2 - 
       (775*t[62])/16 - (991*t[63])/16 + (321*t[64])/4 - (87*t[65])/4 - 
       (809*t[66])/12 + (5*t[67])/2 + 10*t[69] - 2*t[70] + 2*t[71] + 
       4*t[73] + 10*t[75] + 2*t[79] - 2*t[80] + (19*t[81])/4 - (19*t[82])/4 + 
       4*t[83] + 10*t[84] + (53*t[85])/8 + 34*t[86] - (237*t[87])/8 - 
       (109*t[88])/16 + (79*t[89])/8 + 2*t[95] - 16*t[99] - 61*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((27*t[1])/4 - (3*t[2])/2 + (5*t[3])/4 + (103*t[4])/6 - (413*t[5])/48 + 
       (195*t[6])/32 + (15*t[7])/16 + (373*t[8])/48 + (245*t[9])/16 - 
       (253*t[10])/16 - (595*t[11])/96 - (17*t[12])/8 + (2635*t[13])/144 - 
       (4285*t[14])/288 - (241*t[15])/32 - t[16] - (13*t[25])/6 - 
       (25*t[26])/6 - (7*t[27])/3 + (5*t[28])/3 + (4*t[29])/3 - 
       (10*t[30])/3 - (5*t[31])/12 + 5*t[35] + (13*t[36])/3 + t[37]/2 + 
       (19*t[38])/3 + t[39]/3 + t[40] + (17*t[43])/24 - (4*t[44])/3 - t[45] - 
       (5*t[46])/4 + 2*t[47] + (13*t[48])/96 + (77*t[49])/8 - 
       (1075*t[50])/96 + (191*t[51])/48 + (1075*t[52])/96 - (221*t[53])/24 + 
       (419*t[54])/96 - (31*t[59])/18 + (2555*t[60])/48 - (2881*t[61])/48 + 
       (613*t[62])/24 - (587*t[63])/12 + (485*t[64])/96 + (1295*t[65])/48 - 
       (4235*t[66])/144 + (7*t[69])/2 - 2*t[70] + 2*t[71] - t[72]/3 + t[73] - 
       (25*t[74])/3 + (27*t[75])/2 + 4*t[76] - t[77] + 3*t[78] - 
       (109*t[79])/24 + 2*t[80] + (135*t[81])/8 - (87*t[82])/8 - 
       (91*t[83])/12 + (55*t[84])/6 + (827*t[85])/48 + (175*t[86])/8 - 
       (277*t[87])/16 - (943*t[88])/96 + (2981*t[89])/96 + (14*t[95])/3 - 
       4*t[99] - 61*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((-13*t[1])/6 + (5*t[2])/3 - 
       (2879*t[3])/48 - (703*t[4])/24 - (1691*t[5])/32 + (1031*t[6])/48 + 
       (1457*t[7])/24 + (981*t[8])/8 + (4273*t[9])/32 - (1043*t[10])/48 + 
       (255*t[11])/4 + (3527*t[12])/96 + (9025*t[13])/144 + (1829*t[14])/24 - 
       (985*t[15])/64 - t[17]/3 + (5*t[18])/3 - 3*t[19] + t[20] + 
       (7*t[21])/2 + (7*t[22])/6 - (7*t[23])/2 + (19*t[24])/6 + 
       (13*t[25])/3 - (19*t[26])/6 + (2*t[27])/3 + (5*t[28])/3 - 
       (2*t[29])/3 - (7*t[30])/3 - (61*t[31])/6 + (5*t[32])/3 - 2*t[33] + 
       (53*t[34])/3 - 3*t[35] + 2*t[36] + t[37] - 4*t[38] + (7*t[39])/3 - 
       (29*t[40])/6 + (3*t[41])/4 - (5*t[42])/12 - (29*t[43])/48 - 
       (7*t[44])/3 - (877*t[45])/24 + (7*t[46])/6 + (335*t[47])/4 - 
       (97*t[48])/16 + (431*t[49])/48 + (61*t[50])/48 - (315*t[51])/32 + 
       (33*t[52])/16 - (419*t[53])/48 + (87*t[54])/16 + t[58]/6 - 
       (13*t[59])/3 + (119*t[60])/6 + (172*t[61])/3 - (1317*t[62])/8 - 
       (77*t[63])/3 + (565*t[64])/3 + (515*t[65])/12 - (1491*t[66])/8 - 
       t[67]/6 - 4*t[69] - 2*t[70] + 2*t[71] + 3*t[72] + 9*t[73] - 26*t[74] - 
       (21*t[75])/2 + (73*t[76])/3 - (3*t[77])/2 - (37*t[78])/3 + 
       (275*t[79])/12 + (328*t[80])/3 + (145*t[81])/12 + (25*t[82])/4 + 
       (95*t[83])/6 + (19*t[84])/12 + (293*t[85])/24 + (1619*t[86])/12 - 
       (595*t[87])/24 - (595*t[88])/48 - t[89]/4 + t[94]/6 + (4*t[97])/3 + 
       148*t[98] - 138*t[99] - (233*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (-5*t[3] - 2*t[4] + (3*t[5])/2 + t[6] - t[7] + 9*t[8] - (3*t[9])/2 + 
       5*t[10] - t[11] - (7*t[12])/2 + t[13]/2 + (23*t[14])/2 + 
       (41*t[15])/12 - 4*t[29] - 16*t[60] + 6*t[61] + 4*t[62] - 4*t[64] + 
       (26*t[65])/3 + 2*t[66] - 2*t[82] + 8*t[83] + 8*t[87] + 4*t[88] - 
       57*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(-2*t[1] + (3*t[2])/2 - 9*t[3] + 128*t[4] - 
       (69*t[5])/4 - (331*t[6])/4 + (49*t[7])/2 - (219*t[8])/2 + 
       (51*t[9])/4 - 61*t[10] + (327*t[11])/4 - (117*t[12])/4 + 
       (2173*t[13])/36 - (785*t[14])/24 - (101*t[15])/24 + (26*t[19])/3 + 
       6*t[21] - 6*t[23] + 4*t[24] - 3*t[29] - 4*t[30] + 12*t[35] - 4*t[37] + 
       4*t[39] + 3*t[41] - 3*t[42] - 11*t[43] + (61*t[44])/2 - 24*t[45] - 
       15*t[46] + 36*t[47] - (27*t[48])/4 + 33*t[49] + (173*t[50])/4 - 
       (9*t[51])/8 - (173*t[52])/4 - 33*t[53] - (317*t[54])/4 - 50*t[60] + 
       (215*t[61])/2 + 12*t[62] + 18*t[63] + (141*t[64])/4 - (295*t[65])/2 - 
       (230*t[66])/3 - 6*t[69] + 2*t[72] - 10*t[74] + t[77] - 2*t[79] + 
       4*t[80] - 26*t[81] + 32*t[82] + 13*t[83] - t[84]/2 - (69*t[85])/2 - 
       18*t[86] + (127*t[87])/2 + (127*t[88])/4 - 28*t[89] - 57*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((77*t[1])/9 + (87*t[2])/16 - (1007*t[3])/48 - (1781*t[4])/96 - 
       (8813*t[5])/288 + (155*t[6])/9 + (695*t[7])/12 - (4897*t[8])/144 + 
       (12179*t[9])/144 - (1701*t[10])/64 + (11723*t[11])/288 + 
       (10097*t[12])/576 + (1081*t[13])/216 + (217097*t[14])/3456 + 
       (6199*t[15])/864 - t[18]/3 - 3*t[21] - (4*t[22])/3 + (8*t[23])/3 + 
       (19*t[24])/36 - t[29]/2 + (163*t[31])/36 + (8*t[32])/3 - (8*t[33])/3 + 
       (32*t[34])/3 - t[35]/2 - t[37] - (8*t[38])/3 + (8*t[39])/3 - t[40] + 
       (25*t[41])/12 - (9*t[42])/4 + (83*t[43])/36 + t[44] - (29*t[45])/6 + 
       (3*t[46])/2 - (11*t[47])/4 - (127*t[48])/9 - (4003*t[49])/576 + 
       (289*t[50])/36 - (1325*t[51])/1152 - (145*t[52])/36 + 
       (4003*t[53])/576 + (83*t[54])/32 - (5*t[59])/36 + (581*t[60])/12 + 
       (11885*t[61])/144 - (21011*t[62])/576 + (5115*t[63])/64 - 
       (4187*t[64])/48 - (18581*t[65])/864 - (39589*t[66])/864 + 
       (3*t[70])/2 - (3*t[71])/2 - t[73] + (15*t[74])/2 + t[75] + 
       (43*t[76])/3 + (9*t[77])/4 - (13*t[78])/3 - (31*t[79])/3 - 
       (61*t[80])/3 + (37*t[81])/4 + t[82]/6 + (65*t[83])/36 - (41*t[84])/9 + 
       (1789*t[85])/72 + (875*t[86])/72 - (3265*t[87])/72 - 
       (3265*t[88])/144 - (63*t[89])/2 + t[97]/3 + 68*t[98] - 72*t[99] - 
       (1361*t[100])/24) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w]*((-103*t[1])/24 - (179*t[2])/24 - (199*t[3])/16 - 
       (2825*t[4])/48 + (989*t[5])/96 + (15*t[6])/2 + (39*t[7])/16 + 
       (679*t[8])/48 - (841*t[9])/96 + (453*t[10])/32 - (469*t[11])/48 + 
       (865*t[12])/24 - (161*t[13])/54 + (5483*t[14])/576 + 
       (9085*t[15])/576 + t[21]/2 - t[23]/2 + 5*t[25] + (11*t[26])/6 + 
       2*t[28] - t[30]/2 + 3*t[31] - (8*t[34])/3 - 2*t[35] + t[36]/2 + 
       (43*t[37])/24 - (11*t[38])/2 + (23*t[39])/6 - 2*t[40] + (11*t[41])/6 - 
       (11*t[42])/6 - (5*t[43])/8 + t[44]/2 + 4*t[45] + (29*t[46])/12 - 
       (15*t[47])/2 + (197*t[48])/24 - (471*t[49])/32 - (325*t[50])/24 + 
       (1513*t[51])/192 + (87*t[52])/8 + (2461*t[53])/96 + (377*t[54])/16 + 
       (23*t[59])/18 - (967*t[60])/24 + (1199*t[61])/12 - (1805*t[62])/48 - 
       (61*t[63])/16 + (127*t[64])/3 + (1591*t[65])/72 - (431*t[66])/36 - 
       (7*t[69])/2 + (3*t[70])/2 - (3*t[71])/2 + t[72]/4 - t[73] + t[74] - 
       (5*t[75])/2 + 15*t[76] + (91*t[77])/24 - 14*t[78] + (19*t[80])/3 - 
       (11*t[81])/3 - (19*t[82])/6 + (11*t[83])/2 - (1145*t[84])/48 - 
       (1841*t[85])/48 - (39*t[86])/2 + (1577*t[87])/48 + (889*t[88])/96 - 
       (527*t[89])/48 + 11*t[96] + (22*t[97])/3 + 68*t[98] - 72*t[99] - 
       (673*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*((-40*t[1])/9 - (187*t[2])/24 + (85*t[3])/24 + 
       (279*t[4])/8 - (1211*t[5])/48 - (941*t[6])/144 - (127*t[7])/6 - 
       (587*t[8])/24 + (737*t[9])/48 + (1235*t[10])/48 - (781*t[11])/16 - 
       (15*t[12])/2 - (5645*t[13])/432 + (4267*t[14])/288 + (343*t[15])/288 + 
       (11*t[17])/12 - (2*t[18])/3 - t[20]/2 + (3*t[21])/2 + t[22]/6 - 
       (3*t[23])/2 - t[24] - (4*t[27])/3 + (8*t[28])/3 + (4*t[29])/3 - 
       (10*t[30])/3 + (13*t[31])/6 - t[32]/2 - t[34]/3 - (9*t[35])/2 + 
       t[37] + (4*t[39])/3 + t[40] - (43*t[41])/12 + (35*t[42])/9 - 
       (163*t[43])/24 + (23*t[44])/3 + (155*t[45])/12 - (39*t[46])/4 - 
       (173*t[47])/6 + (181*t[48])/48 + (1021*t[49])/48 - (359*t[50])/48 - 
       (125*t[51])/32 + (359*t[52])/48 - (1021*t[53])/48 - (379*t[54])/48 - 
       (34*t[59])/9 + (157*t[60])/3 - (469*t[61])/6 + (299*t[62])/4 + 
       (71*t[63])/4 - (2011*t[64])/12 - (79*t[65])/12 - (91*t[66])/9 - 
       t[67]/6 + 6*t[69] - 4*t[70] + 4*t[71] + (2*t[72])/3 - 2*t[73] - 
       23*t[74] + 15*t[75] - (20*t[77])/3 + 14*t[78] + 17*t[79] - 
       (91*t[80])/3 + (55*t[81])/2 - (85*t[82])/6 - (139*t[83])/3 + 
       (119*t[84])/6 + (229*t[85])/12 - (100*t[86])/3 - (283*t[87])/4 - 
       (283*t[88])/8 - (49*t[89])/6 + t[94]/6 - 4*t[99] - 56*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-35*t[1])/6 + (5*t[2])/6 + (13*t[3])/6 - (355*t[4])/12 - (7*t[5])/6 - 
       (5*t[6])/3 + (85*t[7])/6 - (67*t[8])/6 - (5*t[9])/2 - (121*t[10])/24 + 
       (11*t[11])/2 + (463*t[12])/24 - (584*t[13])/27 + (75*t[14])/16 + 
       (691*t[15])/72 + (3*t[16])/2 - (22*t[25])/3 + 15*t[26] - (2*t[27])/3 + 
       (4*t[28])/3 + (2*t[29])/3 - (2*t[30])/3 + (2*t[32])/3 - (2*t[33])/3 - 
       t[34]/3 - 4*t[35] + (8*t[36])/3 - (10*t[37])/3 - 5*t[38] + 
       (4*t[39])/3 - (4*t[40])/3 + t[41]/6 - t[42]/6 + (19*t[43])/3 + 
       (10*t[44])/3 + (10*t[45])/3 + (16*t[46])/3 - 10*t[47] + (10*t[48])/3 - 
       (85*t[49])/8 + t[50]/3 + (49*t[51])/48 + (4*t[52])/3 + (73*t[53])/8 + 
       (37*t[54])/12 + t[58]/3 + 6*t[59] - (55*t[60])/4 + (40*t[61])/3 + 
       (31*t[62])/24 - (153*t[63])/8 - (737*t[64])/12 + (203*t[65])/36 - 
       (385*t[66])/36 - (3*t[67])/2 + 5*t[69] + 3*t[70] - 3*t[71] - 
       (2*t[74])/3 - 2*t[75] - (7*t[76])/3 + (4*t[78])/3 - 2*t[79] + 
       (28*t[80])/3 - 3*t[81] - 5*t[82] - 14*t[83] + (15*t[84])/4 - 
       (67*t[85])/12 + 10*t[86] + (63*t[87])/4 + (5*t[88])/24 - 
       (31*t[89])/12 - (2*t[95])/3 - t[97]/3 - 16*t[98] + 40*t[99] - 
       55*t[100]) + HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w]*
      ((39*t[1])/2 - (429*t[2])/2 - (153*t[3])/2 + 750*t[4] + 
       (12855*t[5])/8 + (39*t[6])/8 - 1278*t[7] + 1176*t[8] - 
       (14859*t[9])/8 + (15303*t[10])/8 - (9717*t[11])/8 - (2871*t[12])/2 + 
       (1097*t[13])/3 + (2435*t[14])/8 + (11291*t[15])/16 - 18*t[16] + 
       120*t[25] - 177*t[26] - 36*t[27] - 204*t[28] + 108*t[29] - 78*t[31] - 
       72*t[32] + 72*t[33] + 66*t[34] + 90*t[35] - 141*t[36] - 9*t[37] + 
       3*t[38] - 141*t[39] + 90*t[40] - 33*t[41] + 33*t[42] + 207*t[43] - 
       216*t[44] + 42*t[45] - 186*t[46] - 156*t[47] + (3483*t[48])/8 + 
       (4323*t[49])/8 - (4197*t[50])/8 - 172*t[51] + (2181*t[52])/8 - 
       (6543*t[53])/8 - (915*t[54])/8 - 42*t[58] + (231*t[59])/2 + 
       993*t[60] + (2277*t[61])/4 + (5001*t[62])/8 + (14559*t[63])/8 - 
       (14235*t[64])/8 + (1855*t[65])/2 + (2197*t[66])/2 - 18*t[67] + 
       18*t[68] - 18*t[70] + 18*t[71] - 432*t[72] - 276*t[73] - 3*t[74] + 
       852*t[75] - 438*t[76] + 57*t[77] + 1638*t[78] + 120*t[79] + 
       978*t[80] + (75*t[81])/2 + (189*t[82])/2 - 312*t[83] + (459*t[84])/2 - 
       (669*t[85])/4 - 1272*t[86] - (3645*t[87])/4 + (603*t[88])/8 + 
       162*t[89] - 36*t[93] - 66*t[95] - 240*t[96] + 27*t[97] + 396*t[98] - 
       432*t[99] - 54*t[100]) + HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u]*
      ((-525*t[1])/2 + 357*t[2] + (4941*t[3])/4 + (1401*t[4])/4 + 
       (5727*t[5])/8 - (3681*t[6])/4 - (10491*t[7])/8 - (13317*t[8])/8 - 
       (3679*t[9])/2 - (4269*t[10])/4 - (5475*t[11])/8 - (3189*t[12])/4 - 
       (23297*t[13])/16 - (19199*t[14])/16 - (1593*t[15])/4 - 27*t[17] - 
       66*t[18] - 72*t[19] + 432*t[20] + 6*t[21] - 18*t[22] - 108*t[23] + 
       42*t[24] - 6*t[25] - 6*t[26] - 66*t[27] + 432*t[28] + 72*t[29] + 
       126*t[30] + 24*t[32] + 48*t[33] - 150*t[34] - 144*t[35] + 72*t[36] + 
       144*t[37] - 120*t[38] + 168*t[39] - 48*t[40] + (27*t[41])/2 - 
       (171*t[42])/2 + (1815*t[43])/8 - 60*t[44] + (1215*t[45])/4 - 
       (135*t[46])/2 - (1449*t[47])/2 + (4143*t[48])/8 + (2925*t[49])/8 - 
       (1185*t[50])/8 - (2103*t[51])/16 + (3153*t[52])/8 - (3213*t[53])/8 - 
       (3729*t[54])/8 + 3*t[58] + 120*t[59] - (2667*t[60])/2 - 
       (3177*t[61])/2 + 1545*t[62] + 1878*t[63] + (963*t[64])/4 - 
       1170*t[65] + (3733*t[66])/2 + 48*t[70] - 48*t[71] + 66*t[74] + 
       6*t[76] - 96*t[77] - 39*t[78] - 42*t[80] - 105*t[81] + 3*t[82] - 
       168*t[84] + 51*t[85] - 426*t[86] + 48*t[87] + 24*t[88] - 
       (3903*t[89])/4 + 18*t[92] - 18*t[94] + 30*t[97] + 396*t[98] - 
       432*t[99] - 54*t[100]) + HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w]*
      ((-17*t[1])/2 - (187*t[2])/2 - (111*t[3])/2 + (1121*t[4])/4 + 
       (6299*t[5])/8 + (153*t[6])/8 - 679*t[7] + 633*t[8] - (7271*t[9])/8 + 
       (7041*t[10])/8 - (4629*t[11])/8 - 619*t[12] + (8015*t[13])/36 + 
       (3107*t[14])/16 + (5547*t[15])/16 - 5*t[16] + 58*t[25] - 70*t[26] - 
       16*t[27] - 74*t[28] + 42*t[29] - 2*t[30] - 34*t[31] - 36*t[32] + 
       36*t[33] + 35*t[34] + 64*t[35] - 61*t[36] - 8*t[37] - 16*t[38] - 
       (133*t[39])/2 + 44*t[40] - (35*t[41])/2 + (35*t[42])/2 + 
       (209*t[43])/2 - 93*t[44] + (27*t[45])/2 - 78*t[46] - 63*t[47] + 
       (1861*t[48])/8 + (1603*t[49])/8 - (2143*t[50])/8 - (973*t[51])/16 + 
       (1191*t[52])/8 - (2679*t[53])/8 + (5*t[54])/8 - 21*t[58] + 63*t[59] + 
       538*t[60] + (577*t[61])/2 + (1375*t[62])/4 + (3271*t[63])/4 - 
       (3291*t[64])/4 + (5987*t[65])/12 + (5015*t[66])/12 - 9*t[67] + 
       6*t[68] - 10*t[70] + 10*t[71] - 180*t[72] - 120*t[73] - 3*t[74] + 
       388*t[75] - (405*t[76])/2 + 25*t[77] + (1579*t[78])/2 + 20*t[79] + 
       508*t[80] + (37*t[81])/2 + 32*t[82] - 190*t[83] + (639*t[84])/4 - 
       70*t[85] - 657*t[86] - (847*t[87])/2 + (105*t[88])/4 + (341*t[89])/4 - 
       14*t[93] - 30*t[95] - 118*t[96] + 7*t[97] + 204*t[98] - 216*t[99] - 
       54*t[100]) + HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u]*
      (-118*t[1] + (317*t[2])/2 + (2151*t[3])/4 + (639*t[4])/4 + 
       (3017*t[5])/8 - (3357*t[6])/8 - (2541*t[7])/4 - (2965*t[8])/4 - 
       (6913*t[9])/8 - (3757*t[10])/8 - (2429*t[11])/8 - (1409*t[12])/4 - 
       (22733*t[13])/36 - (25361*t[14])/48 - (8623*t[15])/48 - 11*t[17] - 
       30*t[18] - 36*t[19] + 180*t[20] + 6*t[21] + 13*t[22] - 54*t[23] + 
       18*t[24] + 8*t[25] - (27*t[26])/2 - 26*t[27] + 196*t[28] + 39*t[29] + 
       78*t[30] - 4*t[31] + 15*t[32] + 19*t[33] - 74*t[34] - 72*t[35] + 
       36*t[36] + 72*t[37] - 56*t[38] + 81*t[39] - 16*t[40] + (7*t[41])/2 - 
       (69*t[42])/2 + (187*t[43])/2 - (53*t[44])/2 + 117*t[45] - 
       (85*t[46])/2 - 286*t[47] + (2171*t[48])/8 + (1399*t[49])/8 - 
       (697*t[50])/8 - (767*t[51])/16 + (1409*t[52])/8 - (1543*t[53])/8 - 
       (1809*t[54])/8 + (5*t[56])/2 + 2*t[57] + (3*t[58])/2 + 58*t[59] - 
       595*t[60] - (1367*t[61])/2 + (1407*t[62])/2 + (1787*t[63])/2 + 
       (567*t[64])/4 - (3245*t[65])/6 + (2351*t[66])/3 + t[67] + 20*t[70] - 
       20*t[71] + 32*t[74] + 6*t[76] - 40*t[77] - 19*t[78] - 2*t[80] - 
       44*t[81] - 73*t[84] + (49*t[85])/2 - 213*t[86] + (17*t[87])/2 + 
       (17*t[88])/4 - 458*t[89] + 8*t[92] - 10*t[94] + 14*t[97] + 204*t[98] - 
       216*t[99] - 54*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((-181*t[1])/36 + (103*t[2])/144 - 
       (689*t[3])/96 + (241*t[4])/144 - (2095*t[5])/576 + (397*t[6])/144 - 
       (373*t[7])/288 - (1261*t[8])/288 + (721*t[9])/576 + (251*t[10])/36 - 
       (29*t[11])/18 + (8669*t[12])/576 + (64003*t[13])/5184 - 
       (187*t[14])/96 + (47179*t[15])/3456 + t[16]/4 + (91*t[26])/36 + 
       (23*t[27])/18 + (22*t[28])/9 - (7*t[29])/9 + (55*t[30])/36 + 
       (4*t[31])/3 - (5*t[32])/18 + (5*t[33])/18 + (5*t[34])/36 - 8*t[35] - 
       t[36] + (4*t[37])/3 - (11*t[38])/6 + (22*t[39])/9 - (22*t[40])/9 - 
       (5*t[41])/72 + (5*t[42])/72 + (29*t[43])/18 + (5*t[44])/18 + 
       (745*t[45])/144 - (17*t[46])/6 - (85*t[47])/8 - (379*t[48])/288 - 
       (1265*t[49])/288 - (113*t[50])/96 + (4787*t[51])/576 + 
       (139*t[52])/288 + (2129*t[53])/288 + (581*t[54])/288 - (5*t[58])/36 + 
       (25*t[59])/6 - (25*t[60])/9 + (623*t[61])/18 + (344*t[62])/9 - 
       (1657*t[63])/144 - (4363*t[64])/48 + (2489*t[65])/216 - 
       (2023*t[66])/108 - t[67]/4 + (11*t[69])/6 - t[70]/2 + t[71]/2 + 
       t[72] - (5*t[73])/12 + 3*t[74] + (29*t[75])/12 + (35*t[76])/36 + 
       (15*t[77])/4 + (35*t[78])/18 - t[79] - (233*t[80])/36 + 
       (19*t[81])/24 - (115*t[82])/24 - (59*t[83])/12 + (139*t[84])/48 - 
       (25*t[85])/72 - (197*t[86])/6 - (67*t[87])/18 - (31*t[88])/36 - 
       (53*t[89])/16 - t[95] + (5*t[97])/36 + (85*t[98])/6 - (25*t[99])/6 - 
       (319*t[100])/6) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((37*t[1])/6 + t[2]/2 - (8*t[3])/3 - 
       (131*t[4])/12 + (5*t[5])/6 + (17*t[6])/8 + (55*t[7])/6 + (41*t[8])/2 + 
       (34*t[9])/3 - (293*t[10])/12 + (197*t[11])/24 + 8*t[12] - 
       (101*t[13])/12 + (493*t[14])/72 - (77*t[15])/36 + (2*t[19])/3 - 
       5*t[25] - 4*t[28] - 4*t[31] - t[34] + 4*t[35] + (14*t[36])/3 + 
       (16*t[38])/3 - (7*t[39])/3 + (10*t[40])/3 + t[41]/2 - t[42]/2 - 
       (10*t[45])/3 - (5*t[46])/6 + (20*t[47])/3 + (43*t[48])/24 + 
       (47*t[49])/4 - (23*t[50])/8 + (19*t[51])/6 + (125*t[52])/24 - 
       (41*t[53])/12 + (153*t[54])/8 - (8*t[59])/3 + (233*t[60])/12 - 
       (113*t[61])/3 - (273*t[62])/8 - (177*t[63])/8 + 51*t[64] - 
       (1841*t[65])/36 - (1375*t[66])/36 - (4*t[70])/3 + (4*t[71])/3 - 
       2*t[73] - (20*t[74])/3 - 4*t[75] + (11*t[76])/3 - 4*t[77] - 3*t[78] - 
       2*t[79] + (28*t[80])/3 - t[81]/2 + (5*t[82])/2 + 11*t[83] - 
       (151*t[84])/12 - (28*t[85])/3 + (110*t[86])/3 - 33*t[87] - 
       (191*t[88])/6 - 28*t[89] + (16*t[95])/3 + (10*t[96])/3 + t[97]/3 + 
       24*t[98] - 8*t[99] - (103*t[100])/2) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((7*t[1])/6 + (53*t[2])/12 - (233*t[3])/12 + (71*t[4])/4 - 
       (45*t[5])/8 + (127*t[6])/24 + 33*t[7] + (853*t[8])/12 + (443*t[9])/8 - 
       (41*t[10])/12 + (119*t[11])/2 + (167*t[12])/24 + (27293*t[13])/432 + 
       (691*t[14])/18 + (1193*t[15])/144 + (13*t[17])/6 - (2*t[18])/3 - 
       (10*t[19])/3 + (32*t[21])/3 + (4*t[22])/3 - (34*t[23])/3 + 
       (4*t[25])/3 - (4*t[26])/3 - (4*t[27])/3 - 2*t[31] + (2*t[32])/3 - 
       (2*t[33])/3 + (11*t[34])/3 - 22*t[35] + t[37] + (2*t[39])/3 - 
       (7*t[40])/3 - 2*t[41] + (4*t[42])/3 - (35*t[43])/2 - (14*t[44])/3 - 
       14*t[45] - (23*t[46])/6 + (22*t[47])/3 - (47*t[48])/12 + 
       (59*t[49])/6 + (61*t[50])/12 - (15*t[51])/8 - (41*t[52])/12 - 
       (59*t[53])/6 - (257*t[54])/12 + (2*t[58])/3 - 7*t[59] + 
       (461*t[60])/12 + (817*t[61])/12 - (373*t[62])/4 - (553*t[63])/12 - 
       (619*t[64])/24 + (889*t[65])/18 - (3599*t[66])/36 - (2*t[67])/3 - 
       8*t[69] - 2*t[70] + 2*t[71] - (8*t[74])/3 - 2*t[75] + 5*t[76] - 
       (4*t[77])/3 - (2*t[78])/3 - 10*t[79] + (103*t[80])/3 + (16*t[81])/3 - 
       7*t[82] + 11*t[83] + (13*t[84])/6 + (31*t[85])/3 + (155*t[86])/3 - 
       (71*t[87])/3 - (71*t[88])/6 - (187*t[89])/24 - t[94] + (2*t[97])/3 + 
       24*t[98] - 8*t[99] - (103*t[100])/2) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-37*t[1])/4 - t[2] - 
       (61*t[3])/8 + (257*t[4])/16 - (43*t[5])/16 + (297*t[6])/16 - 
       (49*t[7])/32 + (1157*t[8])/32 + (33*t[9])/32 - (865*t[10])/16 - 
       (405*t[11])/32 - (75*t[12])/32 - (3415*t[13])/192 + (2879*t[14])/192 - 
       (21*t[15])/64 - 3*t[19] + (9*t[21])/2 - (9*t[23])/2 + 4*t[25] - 
       2*t[26] - 2*t[30] + 3*t[31] - 6*t[35] + 3*t[37] - 2*t[38] + 
       (9*t[41])/8 - (9*t[42])/8 + (299*t[43])/32 - (123*t[45])/16 - 
       t[46]/8 + (39*t[47])/8 + (183*t[48])/32 + (127*t[49])/32 - 
       (401*t[50])/32 - (345*t[51])/64 + (401*t[52])/32 - (127*t[53])/32 + 
       (243*t[54])/32 + (13*t[59])/8 + (57*t[60])/4 - (339*t[61])/4 + 
       (721*t[62])/16 - (533*t[63])/16 + (997*t[64])/16 - (199*t[65])/4 + 
       (575*t[66])/12 + (3*t[69])/2 - 3*t[70] + 3*t[71] + (9*t[74])/2 - 
       2*t[75] - t[77] - 4*t[79] + (127*t[80])/2 + (7*t[81])/4 - t[82]/2 - 
       (43*t[83])/4 + (19*t[84])/8 + (43*t[85])/4 + (195*t[86])/4 - 
       14*t[87] - 7*t[88] + (49*t[89])/4 + 6*t[99] - 50*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((17*t[1])/2 - (63*t[2])/4 - (35*t[3])/8 + (2165*t[4])/16 - 
       (521*t[5])/32 + (343*t[6])/32 - (281*t[7])/8 - (375*t[8])/8 + 
       (129*t[9])/32 + (419*t[10])/16 + (1631*t[11])/32 - (849*t[12])/32 + 
       (827*t[13])/18 + (4241*t[14])/192 - (3917*t[15])/192 - 5*t[26] - 
       2*t[31] - 7*t[35] - (15*t[36])/4 - (3*t[37])/2 + 5*t[38] + 4*t[43] - 
       (19*t[46])/2 + (167*t[48])/32 + (27*t[49])/8 - (113*t[50])/32 - 
       (203*t[51])/64 + (113*t[52])/32 - (77*t[53])/4 - (1229*t[54])/32 + 
       (9*t[59])/4 + (2177*t[60])/16 + (293*t[61])/8 - (197*t[62])/16 - 
       (1611*t[63])/16 - (179*t[64])/2 - (1845*t[65])/16 - (2673*t[66])/16 + 
       t[67]/2 + 6*t[69] - 3*t[70] + 3*t[71] - t[73] - (49*t[74])/4 - 
       7*t[75] + 4*t[76] - t[78] + (23*t[79])/2 - 19*t[80] + (33*t[81])/8 - 
       (49*t[82])/8 - 12*t[83] + (411*t[84])/16 + (157*t[85])/8 - 
       (97*t[86])/2 - 46*t[87] - (189*t[88])/8 + (249*t[89])/32 - 
       (15*t[95])/2 + 6*t[99] - 50*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((-13*t[1])/12 + (41*t[2])/3 - 
       (169*t[3])/8 + (991*t[4])/12 - (1895*t[5])/48 + (759*t[6])/16 - 
       (201*t[7])/8 + (1901*t[8])/24 + (1787*t[9])/48 - (1801*t[10])/24 + 
       (761*t[11])/16 - (365*t[12])/16 + (103*t[13])/3 - (65*t[14])/48 - 
       (437*t[15])/32 + (5*t[17])/6 - (2*t[18])/3 - 6*t[19] + (5*t[22])/3 - 
       3*t[23] - (4*t[24])/3 + (8*t[25])/3 + t[26]/6 - (2*t[27])/3 - 
       t[28]/3 + (4*t[29])/3 - (4*t[30])/3 - (35*t[31])/6 + (5*t[32])/3 - 
       (5*t[33])/3 + t[34]/6 + 7*t[35] + 2*t[36] + 2*t[37] - (10*t[38])/3 + 
       t[39] - (19*t[40])/3 + (9*t[41])/4 - t[42]/12 - (41*t[43])/6 - 
       8*t[44] - (163*t[45])/6 - (103*t[46])/12 + (293*t[47])/6 + 
       (689*t[48])/48 + (31*t[49])/6 + (113*t[50])/48 - (181*t[51])/48 + 
       (455*t[52])/48 - (17*t[53])/3 - (409*t[54])/48 + (3*t[58])/2 + 
       (7*t[59])/4 + (497*t[60])/24 + (1147*t[61])/24 + (205*t[62])/4 + 
       (34*t[63])/3 + (1741*t[64])/16 - (881*t[65])/24 + (2009*t[66])/72 + 
       (2*t[67])/3 + t[69] + (7*t[70])/3 - (7*t[71])/3 + (61*t[74])/6 + 
       9*t[75] - 8*t[76] - 2*t[77] + (39*t[78])/2 - (38*t[79])/3 + 
       (71*t[80])/3 + (13*t[81])/4 - (7*t[82])/12 - (58*t[83])/3 + 
       (61*t[84])/6 - (173*t[85])/24 - (125*t[86])/6 + (257*t[87])/24 + 
       (257*t[88])/48 + (133*t[89])/48 - (4*t[94])/3 + t[97]/6 - 40*t[98] + 
       44*t[99] - (95*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*(t[1] - (331*t[2])/24 + (41*t[3])/12 + 
       (1093*t[4])/24 - (877*t[5])/48 + (467*t[6])/12 - (245*t[7])/8 - 
       (247*t[8])/8 - (227*t[9])/16 - (721*t[10])/48 - (27*t[11])/8 + 
       (129*t[12])/8 - (253*t[13])/72 + (5837*t[14])/288 - (2723*t[15])/288 - 
       (3*t[17])/2 - (7*t[18])/6 + (3*t[19])/2 - t[21]/2 + (5*t[23])/2 + 
       (4*t[24])/3 + (2*t[27])/3 + (11*t[28])/3 - (2*t[29])/3 - (4*t[30])/3 + 
       (17*t[31])/6 + 2*t[35] + t[37]/2 + (4*t[39])/3 - t[41]/2 + 
       (7*t[42])/6 - (23*t[43])/6 - (16*t[44])/3 + (4*t[45])/3 - 
       (8*t[46])/3 - (35*t[47])/6 - (63*t[48])/8 + (239*t[49])/48 - 
       (149*t[50])/24 - (211*t[51])/96 + (149*t[52])/24 - (239*t[53])/48 + 
       t[54] + (31*t[59])/6 + (329*t[60])/12 + (383*t[61])/12 + 
       (1313*t[62])/48 + (2641*t[63])/48 - 70*t[64] - (2551*t[65])/72 - 
       (451*t[66])/24 + t[67]/4 + (17*t[69])/2 - (3*t[70])/2 + (3*t[71])/2 - 
       (4*t[72])/3 + 2*t[73] - (16*t[74])/3 - t[75] + 2*t[76] - (3*t[78])/2 + 
       (3*t[79])/4 - (63*t[80])/2 + (31*t[81])/6 - (29*t[82])/6 - 
       (73*t[83])/6 + (89*t[84])/24 + (41*t[85])/24 - (182*t[86])/3 - 
       (559*t[87])/24 - (559*t[88])/48 - (367*t[89])/24 - t[94]/12 + 
       12*t[98] - 17*t[99] - 47*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*((9*t[2])/2 - (5*t[3])/2 + (5*t[4])/2 + 
       (23*t[5])/4 + (15*t[6])/2 - (11*t[7])/2 + (65*t[8])/2 + (45*t[9])/4 + 
       (87*t[10])/4 + 5*t[11] + 8*t[12] - (17*t[13])/3 + (295*t[14])/24 + 
       (67*t[15])/8 + 4*t[27] + 16*t[28] - 2*t[29] - 8*t[30] - 12*t[31] - 
       24*t[35] + 6*t[37] + 2*t[39] - 14*t[44] + 3*t[46] + (25*t[48])/2 - 
       (33*t[49])/4 - (11*t[50])/2 + (11*t[51])/8 + (11*t[52])/2 + 
       (33*t[53])/4 + 12*t[54] + 3*t[59] + 16*t[60] - (17*t[61])/2 - 
       6*t[62] - 16*t[63] - (55*t[64])/4 + (70*t[65])/3 - (5*t[66])/6 - 
       2*t[72] + 6*t[73] - 6*t[75] - 6*t[78] + 4*t[81] - 8*t[82] - 20*t[83] + 
       5*t[84] - t[85] - 6*t[86] - 17*t[87] - (17*t[88])/2 + (17*t[89])/4 + 
       3*t[99] - (93*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 
       1 - u]*((5*t[1])/4 - (9*t[2])/8 - (3*t[3])/4 - (29*t[4])/2 - 
       (5*t[5])/4 - (15*t[6])/4 + (115*t[7])/8 - (47*t[8])/8 - (41*t[9])/8 + 
       (169*t[10])/8 - (61*t[11])/8 - (21*t[12])/8 - (1025*t[13])/48 + 
       (529*t[14])/48 + (355*t[15])/24 - 3*t[18] + (3*t[22])/4 - 3*t[23] - 
       t[31]/2 - (19*t[35])/2 + (7*t[37])/2 + (3*t[41])/2 - (13*t[42])/8 + 
       (39*t[43])/8 + 6*t[44] + (15*t[45])/4 + (23*t[46])/4 - (33*t[47])/2 + 
       (13*t[48])/4 + t[49]/4 - (3*t[50])/4 + (13*t[51])/16 + (3*t[52])/2 - 
       t[53]/4 + 4*t[54] + (51*t[59])/8 + (3*t[60])/4 + (91*t[61])/4 - 
       t[62] - (19*t[63])/4 - (717*t[64])/8 - (133*t[65])/24 - 
       (215*t[66])/24 - t[67]/4 + (11*t[69])/2 - t[70]/2 + t[71]/2 - 
       t[74]/2 - 3*t[75] - t[77]/2 - 8*t[79] - 6*t[80] + (7*t[81])/4 - 
       (31*t[82])/4 + 13*t[83] + (9*t[84])/8 - 8*t[85] - 8*t[86] + 
       (27*t[87])/4 + (27*t[88])/8 - (103*t[89])/8 + 12*t[99] - 
       (93*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-33*t[1])/4 - (41*t[3])/4 + (379*t[4])/8 - (179*t[5])/16 + 
       (57*t[6])/4 - (15*t[7])/4 + (13*t[8])/4 + (343*t[9])/16 + 
       (159*t[10])/16 + (7*t[11])/8 + (101*t[12])/8 + (91*t[13])/6 + 
       (585*t[14])/32 + (193*t[15])/32 + t[16]/4 + 4*t[25] + 3*t[26] + 
       6*t[28] + 6*t[31] - 6*t[35] - (13*t[36])/2 + t[37]/4 - (29*t[38])/4 + 
       6*t[39] - 6*t[40] + 6*t[45] + (9*t[46])/2 - 12*t[47] + (21*t[48])/4 - 
       (51*t[49])/16 - (37*t[50])/4 - (57*t[51])/32 + (37*t[52])/4 - 
       (45*t[53])/16 + (53*t[54])/8 + (31*t[59])/4 + (493*t[60])/8 + 
       (453*t[61])/8 + (841*t[62])/16 - (737*t[63])/16 - (2877*t[64])/16 - 
       (515*t[65])/24 - (565*t[66])/8 - t[67]/4 + (11*t[69])/2 - t[70]/2 + 
       t[71]/2 + (11*t[74])/2 + t[75] + 6*t[77] + 6*t[78] - 4*t[79] - 
       9*t[80] + (13*t[81])/2 - (13*t[82])/2 - 20*t[83] + (103*t[84])/8 + 
       (53*t[85])/8 - 77*t[86] - (377*t[87])/8 - (371*t[88])/16 + 
       (79*t[89])/16 + 12*t[99] - (93*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*(120*t[98] - 144*t[99] - 
       46*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*
      (32*t[1] + (39*t[2])/2 + 61*t[3] - 12*t[4] + (153*t[5])/4 - 
       (43*t[6])/4 + 22*t[7] - 110*t[8] - (123*t[9])/4 + 61*t[10] - 
       (25*t[11])/4 - (193*t[12])/4 + (619*t[13])/18 - (61*t[14])/4 - 
       (449*t[15])/24 - 4*t[16] - 3*t[17] - 20*t[20] - 16*t[24] - 2*t[25] + 
       2*t[26] + 20*t[27] - 4*t[28] - 18*t[31] + 8*t[32] - 10*t[33] - 
       8*t[36] + 28*t[38] + 10*t[39] - 8*t[40] - 12*t[41] + 12*t[42] + 
       8*t[43] + 16*t[44] - 32*t[45] + 5*t[46] + 4*t[47] - (115*t[48])/4 + 
       10*t[49] - (27*t[50])/4 - (13*t[51])/4 - (53*t[52])/4 - 10*t[53] - 
       (117*t[54])/4 - 10*t[59] - (165*t[60])/2 + 23*t[61] + (143*t[62])/4 + 
       (185*t[63])/4 - (327*t[64])/2 + t[65] + 54*t[66] + 2*t[67] + 6*t[68] - 
       16*t[72] - 8*t[73] + 4*t[74] + 8*t[75] - 8*t[76] + 18*t[77] - 
       56*t[78] + 8*t[79] + 32*t[80] - 27*t[81] + 35*t[82] - 10*t[84] + 
       (7*t[85])/2 - 32*t[86] + (17*t[87])/2 + (17*t[88])/4 - (47*t[89])/2 - 
       t[91]/3 + 2*t[92] - 2*t[93] - 2*t[94] + 120*t[98] - 144*t[99] - 
       46*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((8*t[1])/3 + (13*t[2])/12 + (51*t[3])/8 + 
       (209*t[4])/6 - (1699*t[5])/48 + (469*t[6])/12 - (203*t[7])/12 + 
       (79*t[8])/3 + (1801*t[9])/48 - (1583*t[10])/24 - (59*t[11])/24 + 
       (233*t[12])/48 + (941*t[13])/216 + (105*t[14])/4 - (7511*t[15])/288 + 
       2*t[25] - (2*t[26])/3 - (8*t[27])/3 + (16*t[28])/3 + (8*t[29])/3 - 
       (17*t[30])/3 + (8*t[32])/3 - (8*t[33])/3 - (4*t[34])/3 + 4*t[35] + 
       (16*t[39])/3 - (16*t[40])/3 + (13*t[41])/6 - (13*t[42])/6 - t[43]/24 - 
       (26*t[44])/3 - (49*t[45])/6 - (13*t[46])/2 + 19*t[47] + (40*t[48])/3 - 
       (17*t[49])/24 - 12*t[50] + (47*t[51])/48 + (56*t[52])/3 + 
       (17*t[53])/24 + (301*t[54])/12 + (4*t[58])/3 - (5*t[59])/2 + 
       (323*t[60])/12 + (55*t[61])/12 + (175*t[62])/6 - (91*t[63])/3 + 
       56*t[64] - (1055*t[65])/36 - (3409*t[66])/36 - 3*t[74] - 2*t[75] - 
       (40*t[76])/3 - 9*t[77] + (34*t[78])/3 + 2*t[79] + (107*t[80])/6 + 
       (13*t[81])/2 - 7*t[82] - 19*t[83] + (19*t[84])/2 + (7*t[85])/12 - 
       t[86]/2 - (167*t[87])/12 - (167*t[88])/24 + (119*t[89])/8 - 
       (4*t[97])/3 - 118*t[98] + 130*t[99] - 46*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (9*t[1] + (29*t[2])/6 - (35*t[3])/3 - (91*t[4])/24 - (443*t[5])/24 + 
       (301*t[6])/8 - (3*t[7])/2 + (215*t[8])/3 + (275*t[9])/24 - 
       (605*t[10])/16 + (545*t[11])/24 - (315*t[12])/16 + (87*t[13])/8 + 
       (5719*t[14])/288 + (31*t[15])/72 - (7*t[25])/3 - (11*t[26])/6 - 
       (8*t[27])/3 - (2*t[28])/3 + (8*t[29])/3 - (17*t[30])/3 - 
       (10*t[31])/3 - (4*t[34])/3 + 6*t[35] + 5*t[36] - 2*t[37] + 5*t[38] - 
       (10*t[39])/3 + (19*t[40])/3 + (2*t[41])/3 - (2*t[42])/3 + 
       (5*t[43])/6 - (26*t[44])/3 + (17*t[46])/6 + (145*t[48])/8 + t[49]/16 - 
       (95*t[50])/8 - (1151*t[51])/96 + (445*t[52])/24 - (41*t[53])/16 + 
       10*t[54] + (4*t[58])/3 - (43*t[59])/6 + (259*t[60])/24 + 
       (475*t[61])/8 + (671*t[62])/48 - (325*t[63])/16 + (223*t[64])/48 + 
       (1699*t[65])/72 - (451*t[66])/8 + 2*t[72] - 2*t[73] - t[74] + 
       2*t[75] - (49*t[76])/3 - (53*t[77])/6 + (79*t[78])/3 - 19*t[79] + 
       5*t[80] + (41*t[81])/6 - (41*t[82])/6 - 10*t[83] + (383*t[84])/24 + 
       (253*t[85])/24 - (44*t[86])/3 + (209*t[87])/8 + (217*t[88])/16 + 
       (1069*t[89])/48 - (4*t[97])/3 - 118*t[98] + 130*t[99] - 46*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-431*t[1])/36 - (83*t[2])/12 + 4*t[3] - (145*t[4])/12 - (53*t[5])/4 - 
       (715*t[6])/16 - (5*t[7])/24 - (333*t[8])/8 + (27*t[9])/2 + 
       (197*t[10])/24 + (345*t[11])/16 - (55*t[12])/24 + (8261*t[13])/216 - 
       (143*t[14])/8 + (127*t[15])/18 - t[16]/3 + t[17]/6 + (4*t[19])/3 - 
       t[20] - t[21] - (2*t[22])/3 + t[23] - t[24]/3 + 9*t[25] - 
       (47*t[26])/6 + (5*t[27])/3 + (2*t[28])/3 - (5*t[29])/3 + (2*t[30])/3 + 
       (19*t[31])/6 - (8*t[32])/3 + (7*t[33])/3 + (31*t[34])/6 - 2*t[35] - 
       (31*t[36])/3 - (17*t[37])/3 - (14*t[38])/3 - (20*t[39])/3 + 
       (25*t[40])/3 - (25*t[41])/12 + (25*t[42])/12 + (17*t[43])/12 + 
       (8*t[44])/3 - (29*t[45])/6 + (67*t[46])/6 - (527*t[48])/16 - 
       (29*t[49])/4 - (413*t[50])/48 + (119*t[51])/16 - (427*t[52])/48 + 
       (5*t[53])/12 - (383*t[54])/48 - (7*t[58])/2 + (109*t[59])/36 - 
       (133*t[60])/8 - (2323*t[61])/24 - (511*t[62])/8 - (1139*t[63])/24 + 
       (10819*t[64])/48 + (3961*t[65])/72 - (1261*t[66])/72 + 3*t[68] + 
       2*t[69] + (8*t[70])/3 - (8*t[71])/3 + 18*t[72] + 4*t[73] - 
       (13*t[74])/3 - 5*t[75] - (7*t[76])/6 - (9*t[77])/2 + (31*t[78])/6 + 
       (107*t[79])/12 + (193*t[80])/3 + (55*t[81])/12 + (83*t[82])/12 + 
       (100*t[83])/3 - (10*t[84])/3 + (577*t[85])/24 + (519*t[86])/4 - 
       (67*t[87])/8 + (319*t[88])/48 + (1277*t[89])/48 - (2*t[90])/3 + 
       (2*t[95])/3 - (34*t[96])/3 + (7*t[97])/6 + 36*t[98] - 78*t[99] - 
       45*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*((5*t[1])/4 + (151*t[2])/8 - (15*t[3])/4 - 
       (99*t[4])/2 - (179*t[5])/16 + (185*t[6])/16 + 36*t[7] + (155*t[8])/4 + 
       (591*t[9])/16 - (33*t[10])/8 - (159*t[11])/16 + (197*t[12])/16 - 
       (533*t[13])/12 + (769*t[14])/16 + (41*t[15])/96 + (7*t[22])/2 - 
       t[26] + 2*t[27] - 4*t[28] - 2*t[29] + 8*t[30] - 12*t[31] + 
       (13*t[32])/2 - (5*t[33])/2 + 19*t[34] - 12*t[35] + 5*t[36] + 6*t[37] - 
       (9*t[38])/2 + t[39]/2 - (29*t[40])/4 - (11*t[41])/4 + (11*t[42])/4 + 
       (49*t[43])/8 + 2*t[44] - (61*t[45])/4 + (17*t[46])/2 + (75*t[47])/4 - 
       (133*t[48])/16 - (131*t[49])/8 - (77*t[50])/16 - (37*t[51])/16 + 
       (261*t[52])/16 + (131*t[53])/8 + (337*t[54])/16 - t[58] + 
       (11*t[59])/8 - (337*t[60])/8 + (481*t[61])/8 - (449*t[62])/16 + 
       (1837*t[63])/16 + (1677*t[64])/16 - (781*t[65])/24 + (551*t[66])/24 + 
       6*t[69] + 12*t[73] - 25*t[75] + (91*t[76])/4 + 8*t[77] - 13*t[78] + 
       5*t[79] + (29*t[80])/2 + (61*t[81])/4 - (69*t[82])/4 + 20*t[83] - 
       (85*t[84])/8 + (125*t[85])/8 + 38*t[86] + (87*t[87])/8 + 
       (87*t[88])/16 - (833*t[89])/16 + (13*t[97])/4 + 48*t[98] - 60*t[99] - 
       (87*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((3*t[1])/4 - (5*t[2])/4 + (33*t[3])/4 - 
       (367*t[4])/24 - (229*t[5])/24 - (17*t[6])/24 + 14*t[7] + (67*t[8])/3 + 
       (67*t[9])/8 - (953*t[10])/48 + (875*t[11])/24 + (259*t[12])/16 - 
       (40*t[13])/3 + (5929*t[14])/288 - (2137*t[15])/72 + t[16]/2 + 
       (5*t[19])/3 - 2*t[25] + (20*t[26])/3 + (2*t[27])/3 - (16*t[28])/3 + 
       t[29]/3 - (10*t[30])/3 - 8*t[31] + (4*t[32])/3 - (4*t[33])/3 - 
       (5*t[34])/2 + 11*t[35] + (19*t[36])/3 - 5*t[37] - 3*t[38] - 
       (7*t[39])/2 + (13*t[40])/3 + (5*t[41])/4 - (5*t[42])/4 - t[43]/3 - 
       (4*t[44])/3 - (61*t[45])/6 - (5*t[46])/2 + (65*t[47])/3 + 
       (89*t[48])/24 - (131*t[49])/48 + (133*t[50])/24 - (203*t[51])/32 - 
       (25*t[52])/24 + (57*t[53])/16 - (41*t[54])/4 + t[58] + (19*t[59])/12 + 
       (479*t[60])/24 + (47*t[61])/24 - (7229*t[62])/48 - (2399*t[63])/48 + 
       (2693*t[64])/16 - (545*t[65])/24 - (1837*t[66])/72 - t[67]/2 + t[69] + 
       (7*t[70])/3 - (7*t[71])/3 - (25*t[74])/3 - 12*t[75] - 4*t[76] - 
       (26*t[77])/3 + (5*t[78])/2 + (71*t[80])/3 - (10*t[81])/3 + 6*t[82] + 
       31*t[83] + (19*t[84])/8 - (65*t[85])/24 + (425*t[86])/3 + 
       (1039*t[87])/24 + (791*t[88])/48 - (1091*t[89])/48 - (4*t[95])/3 - 
       (4*t[96])/3 + (3*t[97])/2 - 40*t[98] + 44*t[99] - (85*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((109*t[1])/144 + (119*t[2])/36 + (5231*t[3])/192 + (4367*t[4])/144 + 
       (607*t[5])/128 - (45353*t[6])/576 + (35519*t[7])/576 - 
       (44747*t[8])/576 + (44921*t[9])/1152 - (55175*t[10])/576 + 
       (40373*t[11])/576 + (4411*t[12])/384 + (521515*t[13])/10368 - 
       (124675*t[14])/3456 - (73073*t[15])/2304 + (2*t[17])/3 + 
       (16*t[18])/9 - t[19] + 2*t[20] + 4*t[21] - (37*t[22])/2 - 4*t[23] - 
       t[24]/18 + t[25] - (34*t[26])/9 - (31*t[27])/9 - (28*t[28])/9 + 
       (4*t[29])/9 + (5*t[30])/9 - (157*t[31])/18 - (32*t[32])/9 + 
       (23*t[33])/9 + (221*t[34])/18 - (19*t[35])/2 + t[36] + (2*t[37])/3 - 
       (37*t[39])/9 + (13*t[40])/9 - t[41]/18 + (119*t[42])/36 + 
       (1895*t[43])/288 + (32*t[44])/9 + (193*t[45])/72 - (271*t[46])/24 + 
       (83*t[47])/12 - (2585*t[48])/144 + (839*t[49])/48 + (1771*t[50])/144 - 
       (95*t[51])/48 - (315*t[52])/16 - (839*t[53])/48 - (2665*t[54])/144 - 
       (7*t[58])/9 - (229*t[59])/48 + (2953*t[60])/144 + (5509*t[61])/144 - 
       (22237*t[62])/144 - (29*t[63])/144 + (12583*t[64])/96 + 
       (46745*t[65])/864 - (152585*t[66])/864 - t[67]/6 - (11*t[69])/6 - 
       2*t[70] + 2*t[71] + t[72] + (101*t[73])/12 - 25*t[74] - 
       (143*t[75])/12 + (256*t[76])/9 + (19*t[77])/24 - (154*t[78])/9 + 
       (625*t[79])/24 + (818*t[80])/9 + (283*t[81])/24 + (17*t[82])/3 + 
       (200*t[83])/9 - (151*t[84])/72 + (2749*t[85])/144 + (9071*t[86])/72 - 
       (2039*t[87])/48 - (2039*t[88])/96 - (151*t[89])/32 + t[94]/6 + 
       (16*t[97])/9 + (544*t[98])/3 - (508*t[99])/3 - (509*t[100])/12) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-43*t[1])/6 + 10*t[2] - (367*t[3])/36 - (503*t[4])/36 + 
       (443*t[5])/12 + (173*t[6])/4 - (455*t[7])/18 + (209*t[8])/36 - 
       (3689*t[9])/72 + (3383*t[10])/72 - (2387*t[11])/72 - (283*t[12])/24 - 
       (7423*t[13])/432 + (1777*t[14])/54 + (15827*t[15])/432 + t[16] + 
       t[17]/2 - 6*t[18] + 12*t[20] - 4*t[21] - 4*t[22] + 4*t[23] - 6*t[24] + 
       t[25] - 9*t[27] + 4*t[29] - t[30] - 4*t[31] - t[32] + 5*t[33] - 
       6*t[34] - 4*t[35] + 6*t[36] + t[37] - (7*t[38])/2 - 5*t[39] + 
       (3*t[40])/2 - t[41]/2 - (5*t[42])/2 + (469*t[43])/72 - 7*t[44] + 
       (37*t[45])/4 - (43*t[46])/12 - 41*t[47] + (233*t[48])/24 + 
       (115*t[49])/72 + (835*t[50])/72 - (10*t[51])/9 + (245*t[52])/72 - 
       (43*t[53])/72 + (1351*t[54])/72 - t[56] - 2*t[58] + (55*t[59])/12 + 
       (31*t[60])/4 + (743*t[61])/12 + (2441*t[62])/72 + (2149*t[63])/72 - 
       (8533*t[64])/72 - (4511*t[65])/108 + (4079*t[66])/108 - t[67]/2 - 
       2*t[68] + 2*t[69] + 6*t[70] - 6*t[71] + 2*t[72] - 4*t[73] + 
       (5*t[74])/6 - 2*t[75] - 8*t[76] - 2*t[77] + (13*t[78])/2 - 
       (33*t[79])/4 - 27*t[80] - 6*t[81] - (5*t[82])/2 + (89*t[83])/9 + 
       (325*t[84])/18 - (65*t[85])/36 - (1907*t[86])/36 - (335*t[87])/36 - 
       (47*t[88])/72 - (1669*t[89])/72 - t[92]/2 + t[94]/2 - t[97] - 
       84*t[98] + 98*t[99] - (127*t[100])/3) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-37*t[1])/24 - (1027*t[2])/144 + (205*t[3])/18 - (9559*t[4])/576 + 
       (6059*t[5])/288 - (991*t[6])/24 - (199*t[7])/12 - (697*t[8])/18 - 
       (5009*t[9])/288 + (14207*t[10])/384 - (5693*t[11])/288 - 
       (1075*t[12])/128 - (39455*t[13])/1728 - (189461*t[14])/6912 + 
       (12311*t[15])/3456 + t[16]/2 - (11*t[19])/6 - 2*t[20] - 2*t[21] + 
       t[22] + 2*t[23] - (67*t[25])/18 + (107*t[26])/72 + (14*t[27])/9 - 
       t[28]/9 - (14*t[29])/9 + (25*t[30])/18 - (2*t[31])/9 - t[32] + t[33] + 
       (5*t[34])/18 - (13*t[35])/6 + (41*t[36])/12 + (11*t[37])/3 + 
       (35*t[38])/24 + (13*t[39])/9 + (50*t[40])/9 - (59*t[41])/36 + 
       (59*t[42])/36 + (2*t[43])/9 + (14*t[44])/9 - 2*t[45] + 
       (1319*t[46])/144 + 3*t[47] - (611*t[48])/48 + (7765*t[49])/384 - 
       (61*t[50])/16 - (39059*t[51])/2304 - (515*t[52])/144 - 
       (2909*t[53])/384 - (1411*t[54])/192 - (23*t[58])/18 - 
       (145*t[59])/144 - (47849*t[60])/576 - (6103*t[61])/192 + 
       (30323*t[62])/1152 + (30719*t[63])/384 - (23345*t[64])/1152 + 
       (103537*t[65])/1728 + (44881*t[66])/576 - 2*t[69] + t[72] + 17*t[73] - 
       (97*t[74])/12 + (38*t[75])/3 + (274*t[76])/9 + (5*t[77])/18 - 
       (352*t[78])/9 + (31*t[79])/12 + (46*t[80])/3 + (373*t[81])/72 + 
       (55*t[82])/9 - (109*t[83])/6 - (14551*t[84])/576 + (4153*t[85])/576 + 
       (407*t[86])/36 - (2297*t[87])/192 - (1971*t[88])/128 - 
       (16715*t[89])/1152 + 7*t[95] + 6*t[96] + (59*t[97])/18 + 
       (541*t[98])/3 - (505*t[99])/3 - (503*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-3*t[1] + (3*t[3])/2 + (15*t[4])/2 - (123*t[5])/4 + (3*t[6])/2 - 
       (9*t[7])/2 - (15*t[8])/2 + (99*t[9])/4 + (57*t[10])/4 - 21*t[11] + 
       (21*t[12])/2 + (16*t[13])/3 - (43*t[14])/8 - (113*t[15])/8 + 
       12*t[31] + 12*t[35] - 6*t[37] - 6*t[43] - (21*t[48])/2 - (3*t[49])/4 - 
       (9*t[50])/2 + (3*t[51])/8 + (9*t[52])/2 + (3*t[53])/4 + 6*t[54] - 
       6*t[59] + (15*t[60])/2 - (81*t[61])/2 + (87*t[62])/4 - (51*t[63])/4 - 
       (117*t[64])/4 + (5*t[65])/2 + (27*t[66])/2 - 6*t[69] - 12*t[80] + 
       3*t[83] - (3*t[84])/2 + (27*t[85])/2 - 12*t[86] - (21*t[87])/2 - 
       (21*t[88])/4 + (33*t[89])/4 + 6*t[99] - (81*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-3*t[1])/2 + (11*t[2])/4 - (73*t[3])/8 - t[4]/2 - 10*t[5] + 
       (7*t[6])/8 + (87*t[7])/4 - (63*t[8])/4 + (117*t[9])/4 - (41*t[10])/2 + 
       (55*t[11])/2 + (153*t[12])/8 + (181*t[13])/12 + (725*t[14])/48 + 
       (7*t[15])/24 + t[16] + (5*t[25])/2 - (3*t[26])/2 - t[29]/4 - t[30] + 
       4*t[34] + 3*t[36] - 2*t[38] - 2*t[40] + (73*t[44])/8 - (7*t[45])/2 + 
       (7*t[46])/4 + (5*t[47])/2 - (13*t[48])/2 - 4*t[49] - (3*t[50])/4 - 
       (27*t[51])/16 + (13*t[52])/4 + (13*t[53])/4 - (11*t[54])/4 + t[59]/4 + 
       (137*t[60])/4 + (117*t[61])/4 - (163*t[62])/16 - (399*t[63])/16 - 
       (411*t[64])/8 - (215*t[65])/24 - (1879*t[66])/24 + (3*t[69])/2 + 
       7*t[73] + 4*t[74] + t[75]/2 + (3*t[76])/2 + 3*t[78] + 5*t[79] + 
       5*t[80] + (11*t[81])/4 + t[82]/4 - (75*t[83])/4 + (61*t[84])/8 + 
       (21*t[85])/2 + 4*t[86] - 22*t[87] - (27*t[88])/2 - (209*t[89])/16 + 
       t[97]/2 + 12*t[98] - 4*t[99] - (161*t[100])/4) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*((-7*t[1])/4 + t[2] + 
       (89*t[3])/16 - (127*t[4])/8 - (593*t[5])/24 - (1301*t[6])/96 + 
       (99*t[7])/4 + (23*t[8])/3 + (1823*t[9])/48 + (585*t[10])/16 - 
       (2695*t[11])/96 + (1271*t[12])/48 - (633*t[13])/16 - (505*t[14])/72 - 
       (154*t[15])/9 - (3*t[17])/2 + (11*t[24])/6 - t[29]/4 + t[30]/2 - 
       (11*t[31])/3 + t[34]/2 - t[35]/2 - 2*t[41] + 2*t[42] - 
       (139*t[43])/12 - t[44]/8 - 8*t[45] + 3*t[46] + (41*t[47])/2 - 
       (179*t[48])/96 - (133*t[49])/48 + (485*t[50])/96 - (83*t[51])/96 - 
       (485*t[52])/96 + (133*t[53])/48 + (29*t[54])/32 + (3*t[59])/4 + 
       (153*t[60])/16 - (1021*t[61])/48 - (1103*t[62])/48 - (33*t[63])/16 - 
       (2271*t[64])/32 + (541*t[65])/18 + (6049*t[66])/144 + (3*t[67])/4 + 
       (3*t[69])/2 + (11*t[74])/2 - 2*t[75] + t[77]/2 - (7*t[78])/2 + 
       t[79]/2 + 4*t[80] + 2*t[81] - (11*t[82])/2 + (11*t[83])/12 + 
       (61*t[84])/48 - (643*t[85])/48 + (109*t[86])/3 - (419*t[87])/48 - 
       (419*t[88])/96 - (87*t[89])/32 - (3*t[94])/4 + (3*t[96])/2 + t[97] + 
       12*t[98] - 4*t[99] - (161*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(80*t[1] - 29*t[2] - 12*t[3] + 209*t[4] + 
       50*t[5] + 13*t[6] - 77*t[7] - 45*t[8] - 51*t[9] - (547*t[10])/2 + 
       319*t[11] - (395*t[12])/2 + (596*t[13])/3 - (1453*t[14])/12 - 
       26*t[15] + (64*t[19])/3 - 8*t[21] + 8*t[23] - 80*t[26] + 16*t[35] - 
       9*t[37] + 80*t[38] - 4*t[41] + 4*t[42] - 12*t[45] - 4*t[47] - 
       2*t[48] + (61*t[49])/2 + 18*t[50] + (137*t[51])/4 - 18*t[52] - 
       (53*t[53])/2 - 212*t[54] - 40*t[59] + 477*t[60] - 153*t[61] + 
       (109*t[62])/2 - (513*t[63])/2 - 113*t[64] - 274*t[65] - 
       (1211*t[66])/3 + 8*t[69] - 12*t[74] - 38*t[76] + 54*t[78] - 32*t[79] + 
       24*t[80] + 66*t[81] + 12*t[82] + 4*t[83] + 54*t[84] + 92*t[85] - 
       28*t[86] + 6*t[87] + 3*t[88] + (81*t[89])/2 - 40*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      (-40*t[1] - 119*t[3] + 92*t[4] - 157*t[5] + (273*t[6])/2 - 61*t[7] + 
       182*t[8] + 219*t[9] + 314*t[10] - 406*t[11] - 14*t[12] - 
       (3679*t[13])/36 + 6*t[14] - (7*t[15])/2 + 2*t[22] - 2*t[32] - 
       87*t[43] - 13*t[45] - 12*t[46] + 38*t[47] + 6*t[48] - 6*t[49] + 
       10*t[50] + 16*t[51] - 10*t[52] + 6*t[53] - 10*t[54] - 40*t[59] + 
       63*t[60] - 710*t[61] + (793*t[62])/2 - (513*t[63])/2 - 
       (1073*t[64])/2 + (239*t[65])/3 + (2729*t[66])/3 - 82*t[77] - 
       372*t[80] - 12*t[81] - 42*t[82] - 8*t[83] - 2*t[84] - 16*t[85] + 
       38*t[86] + 8*t[87] + 4*t[88] + (309*t[89])/2 - 40*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((10*t[1])/3 + (65*t[2])/12 + 2*t[3] + (239*t[4])/12 - (409*t[5])/24 + 
       (35*t[6])/12 + (307*t[7])/24 + (661*t[8])/24 + (175*t[9])/6 - 
       (116*t[10])/3 + (1181*t[11])/24 - (77*t[12])/12 + (11033*t[13])/432 + 
       (287*t[14])/48 - (893*t[15])/72 - 2*t[19] + 2*t[21] - 2*t[22] - 
       2*t[23] + (2*t[26])/3 - (4*t[27])/3 + (17*t[28])/3 + (4*t[29])/3 - 
       (10*t[30])/3 - (2*t[32])/3 + (2*t[33])/3 - (26*t[34])/3 - t[37] + 
       2*t[38] + (8*t[39])/3 + (7*t[40])/3 + (5*t[41])/6 - (5*t[42])/6 + 
       (79*t[43])/24 - (16*t[44])/3 + (17*t[45])/12 - 2*t[46] + 
       (23*t[47])/2 + (175*t[48])/24 + (5*t[49])/24 - (51*t[50])/8 + 
       (31*t[51])/48 + (89*t[52])/24 - (5*t[53])/24 - (125*t[54])/24 + 
       (2*t[58])/3 + t[59]/2 + (71*t[60])/6 + (206*t[61])/3 - (445*t[62])/6 - 
       (415*t[63])/6 - 20*t[64] + (74*t[65])/9 - (2251*t[66])/18 - 4*t[69] + 
       t[74] - 3*t[75] - (35*t[76])/3 + (20*t[78])/3 - 12*t[79] + 
       (35*t[80])/3 - 2*t[81] - 12*t[82] + 5*t[83] + 6*t[84] - (5*t[85])/6 + 
       71*t[86] + (55*t[87])/6 + (55*t[88])/12 + (55*t[89])/4 - (5*t[97])/3 - 
       26*t[98] + 44*t[99] - 40*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((131*t[1])/24 - 
       (1885*t[2])/144 - (839*t[3])/72 + (2297*t[4])/576 + (3329*t[5])/288 + 
       t[6]/4 - (205*t[7])/6 + (8165*t[8])/72 - (15287*t[9])/288 + 
       (5709*t[10])/128 + (283*t[11])/288 + (2599*t[12])/384 - 
       (6557*t[13])/576 + (16267*t[14])/6912 + (29443*t[15])/3456 - 
       t[16]/12 - t[18]/2 + (4*t[19])/3 - t[20]/2 + 2*t[21] + t[22]/2 - 
       2*t[23] - t[24]/2 + (4*t[25])/9 - (61*t[26])/72 + (8*t[27])/9 - 
       (191*t[28])/18 + (47*t[29])/18 - (23*t[30])/18 - (13*t[31])/18 + 
       (23*t[32])/3 - (8*t[33])/3 - (217*t[34])/18 - (13*t[35])/6 + 
       (5*t[36])/12 - (7*t[37])/6 + (79*t[38])/24 - (47*t[39])/36 + 
       (83*t[40])/36 + (151*t[41])/36 - (115*t[42])/36 + (5*t[43])/9 - 
       (289*t[44])/36 + (22*t[45])/3 - (301*t[46])/144 - (10*t[47])/3 + 
       (929*t[48])/48 + (4237*t[49])/384 - (1247*t[50])/48 + 
       (205*t[51])/2304 + (2821*t[52])/144 - (1397*t[53])/384 + 
       (2701*t[54])/192 - (5*t[58])/18 + (755*t[59])/144 + (823*t[60])/576 + 
       (15433*t[61])/192 - (112933*t[62])/1152 - (29545*t[63])/384 + 
       (103279*t[64])/1152 - (12071*t[65])/1728 - (17623*t[66])/576 + 
       t[68]/6 + (5*t[69])/2 - t[70]/2 + t[71]/2 + 2*t[72] + t[73] - 
       (59*t[74])/12 - (13*t[75])/3 + (154*t[76])/9 + (34*t[77])/9 - 
       (235*t[78])/9 + (133*t[79])/12 + (19*t[80])/2 - (407*t[81])/72 - 
       (50*t[82])/9 + (23*t[83])/6 - (13327*t[84])/576 - (18767*t[85])/576 + 
       (1229*t[86])/36 + (1893*t[87])/64 + (8111*t[88])/384 + 
       (17245*t[89])/1152 - (2*t[95])/3 + (32*t[96])/3 + (85*t[97])/9 + 
       (265*t[98])/3 - (322*t[99])/3 - (235*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      ((3*t[1])/4 - (119*t[2])/32 + (15*t[3])/16 + (175*t[4])/48 + 
       (565*t[5])/96 - (151*t[6])/48 + (517*t[7])/32 - (163*t[8])/96 - 
       (5*t[9])/6 - (13*t[10])/96 + (303*t[11])/16 + (97*t[12])/48 - 
       (119*t[13])/48 + (2749*t[14])/576 + (53*t[15])/12 + t[21] + t[25]/2 - 
       (7*t[27])/6 - (29*t[28])/12 + (47*t[29])/12 - (2*t[30])/3 - 
       (13*t[31])/4 + t[32]/2 - t[33]/2 - t[34] - (3*t[35])/2 + (5*t[36])/2 + 
       2*t[37] + (11*t[39])/12 + t[40]/2 + t[41]/2 - t[42]/2 - t[43]/4 - 
       (17*t[44])/12 + t[45]/2 - t[46]/8 - (13*t[47])/12 + (83*t[48])/16 + 
       (29*t[49])/8 + (37*t[50])/48 - (425*t[51])/192 - (85*t[52])/48 - 
       2*t[53] - (205*t[54])/24 + (3*t[59])/2 + (35*t[60])/6 + 
       (379*t[61])/16 - (347*t[62])/48 + (145*t[63])/12 - (19*t[64])/16 + 
       (841*t[65])/144 - (491*t[66])/144 + (3*t[69])/2 - t[70] + t[71] + 
       t[72]/3 - t[73]/2 - (3*t[74])/4 + (17*t[75])/4 - t[76]/2 - 
       (3*t[77])/2 - (3*t[78])/2 + (109*t[79])/48 - (5*t[80])/4 + 
       (4*t[81])/3 + (4*t[82])/3 - (25*t[83])/6 + (41*t[84])/48 - 
       (439*t[85])/48 + (61*t[86])/48 - (111*t[87])/16 - (95*t[88])/32 - 
       (101*t[89])/12 - t[95]/2 + (3*t[96])/2 + t[97] + 2*t[98] - 
       (7*t[99])/2 - 39*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*(12*t[98] - 12*t[99] - (155*t[100])/4) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((7*t[1])/2 - (9*t[2])/8 - (95*t[3])/16 + (17*t[4])/2 + 
       (1255*t[5])/48 + (1817*t[6])/96 - (187*t[7])/8 + (203*t[8])/6 - 
       (175*t[9])/6 - (5*t[10])/2 + (4159*t[11])/96 - (425*t[12])/48 + 
       (2101*t[13])/72 + (4795*t[14])/288 + (4931*t[15])/288 + (3*t[17])/4 + 
       t[21]/2 - t[23]/2 + t[24]/6 + 2*t[28] + (3*t[29])/2 + t[30]/4 - 
       (17*t[31])/6 + (5*t[32])/4 - (5*t[33])/4 - t[34]/2 - 9*t[35] - 
       4*t[37] + t[38]/2 + 3*t[39] - t[40]/2 + (9*t[41])/4 - (9*t[42])/4 + 
       (73*t[43])/12 - (19*t[44])/4 + 5*t[45] + (9*t[46])/4 - (25*t[47])/2 + 
       (1307*t[48])/96 - (11*t[49])/12 - (725*t[50])/96 - (23*t[51])/48 + 
       (629*t[52])/96 + (35*t[53])/12 + (263*t[54])/32 + t[59]/4 - 
       (23*t[60])/16 + (2725*t[61])/48 + (449*t[62])/48 - (637*t[63])/16 + 
       (23*t[64])/32 - (2029*t[65])/72 - (5611*t[66])/144 - t[67]/4 - 
       t[69]/2 + 2*t[72] + (5*t[74])/2 - 2*t[75] + 2*t[76] + t[77]/2 + 
       (3*t[78])/2 + (7*t[79])/2 + 14*t[80] + t[81]/2 + t[82] - 
       (101*t[83])/12 - (79*t[84])/48 - (371*t[85])/48 - (106*t[86])/3 + 
       (377*t[87])/48 + (377*t[88])/96 - (327*t[89])/32 + t[94]/4 + 
       (3*t[96])/2 + t[97] + 12*t[98] - 12*t[99] - (155*t[100])/4) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*
      (2*t[1] + (27*t[2])/4 - (59*t[3])/4 + (81*t[4])/8 - (45*t[5])/2 + 
       (153*t[6])/8 + (7*t[7])/2 + 30*t[8] + (61*t[9])/4 + (221*t[10])/16 + 
       (145*t[11])/8 + (49*t[12])/16 + (83*t[13])/12 + (3587*t[14])/96 + 
       (521*t[15])/48 - t[19] - t[21] + t[23] + 2*t[26] + 5*t[28] - 3*t[30] - 
       4*t[31] - t[34] - 4*t[35] - 3*t[37] - t[38] + 3*t[39] - 2*t[40] - 
       t[41]/2 + t[42]/2 + t[43] - 2*t[44] + 4*t[45] - t[46] - 9*t[47] + 
       (71*t[48])/8 + (15*t[49])/16 + (11*t[50])/8 - (31*t[51])/32 + 
       (29*t[52])/8 - (23*t[53])/16 + t[54]/2 + t[58] + 2*t[59] + 
       (129*t[60])/8 + (361*t[61])/8 + (135*t[62])/16 - (559*t[63])/16 - 
       (871*t[64])/16 + (113*t[65])/8 - (309*t[66])/8 + t[69] + 5*t[72] + 
       2*t[74] + 5*t[75] - 9*t[76] - t[77] + 14*t[78] - 6*t[79] - 3*t[80] + 
       (5*t[81])/2 - (13*t[82])/2 - (13*t[83])/2 + (89*t[84])/8 - 
       (45*t[85])/8 - 14*t[86] - (13*t[87])/8 - (13*t[88])/16 + 
       (55*t[89])/16 - t[97] - 48*t[98] + 50*t[99] - 38*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-23*t[1])/24 - (457*t[2])/72 + (487*t[3])/144 + (1327*t[4])/144 - 
       (5213*t[5])/288 - (79*t[6])/6 - (25*t[7])/12 - (1355*t[8])/72 - 
       (571*t[9])/288 + (3655*t[10])/96 - (97*t[11])/72 + (119*t[12])/16 - 
       (1369*t[13])/432 + (15323*t[14])/1728 - (1303*t[15])/1728 + t[19] - 
       t[21] + t[23] - (5*t[25])/18 - (13*t[26])/36 + (5*t[27])/18 - 
       (37*t[28])/18 - (5*t[29])/18 + (61*t[30])/36 + (17*t[31])/9 + 
       (5*t[34])/36 + (31*t[35])/6 - (7*t[36])/12 - (5*t[37])/3 + t[38]/2 - 
       (23*t[39])/18 + (5*t[40])/18 + (13*t[41])/72 - (13*t[42])/72 - 
       (227*t[43])/144 + (77*t[44])/18 + (49*t[45])/8 + (541*t[46])/144 - 
       (69*t[47])/4 - (101*t[48])/24 + (379*t[49])/96 + (37*t[50])/24 - 
       (283*t[51])/576 - (161*t[52])/72 - (373*t[53])/96 - (31*t[54])/24 - 
       (5*t[58])/36 + (281*t[59])/72 + (583*t[60])/72 + (225*t[61])/16 - 
       (377*t[62])/18 + (67*t[63])/48 - (12791*t[64])/144 - 
       (3373*t[65])/432 - (1589*t[66])/48 - t[67]/4 + 2*t[69] - t[70]/2 + 
       t[71]/2 - (25*t[75])/6 + (65*t[76])/36 + (59*t[77])/36 - 
       (35*t[78])/9 - (10*t[79])/3 - (37*t[80])/3 + (5*t[81])/18 - 
       (187*t[82])/36 + (44*t[83])/3 - (41*t[84])/144 - (19*t[85])/144 + 
       (53*t[86])/18 - (125*t[87])/24 - (125*t[88])/48 - (2057*t[89])/144 + 
       (5*t[97])/36 + (55*t[98])/6 + (5*t[99])/6 - (443*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (t[1]/2 - (29*t[2])/12 + (61*t[3])/3 - 25*t[4] + (185*t[5])/16 - 
       (301*t[6])/48 - (25*t[7])/8 + (1015*t[8])/24 - (1921*t[9])/48 - 
       (29*t[10])/4 - (569*t[11])/48 - (35*t[12])/16 - (2777*t[13])/144 - 
       (4339*t[14])/144 + (571*t[15])/96 + 2*t[20] - 9*t[28] + (31*t[29])/6 + 
       (25*t[30])/6 - 4*t[31] + (13*t[32])/12 - t[33] - 4*t[34] + 
       (3*t[35])/2 + (9*t[36])/2 + 2*t[37] + (11*t[43])/4 - (5*t[44])/4 + 
       (383*t[48])/48 + (7*t[49])/8 + (43*t[50])/48 - (7*t[51])/16 - 
       (43*t[52])/48 - (7*t[53])/8 + (89*t[54])/48 + (4*t[59])/3 - 
       (2135*t[60])/24 - (2*t[61])/3 - (195*t[62])/8 + (51*t[63])/2 + 
       (947*t[64])/8 + (947*t[65])/24 + (3113*t[66])/72 + 2*t[69] + 2*t[73] - 
       (8*t[74])/3 - 6*t[75] + t[76] - (7*t[77])/2 - (9*t[78])/2 + 2*t[79] + 
       11*t[80] - t[81]/4 + t[82]/4 + (37*t[83])/2 - (95*t[84])/6 - 
       (99*t[85])/8 + 64*t[86] + (419*t[87])/8 + (403*t[88])/16 - 
       (233*t[89])/24 + (7*t[95])/3 + 12*t[98] - 17*t[99] - (73*t[100])/2) + 
     HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w]*(-5*t[1] - 22*t[2] - 30*t[3] + 
       (121*t[4])/4 + (1007*t[5])/4 + (35*t[6])/2 - 253*t[7] + 241*t[8] - 
       (1159*t[9])/4 + (1025*t[10])/4 - (725*t[11])/4 - (697*t[12])/4 + 
       (393*t[13])/4 + (5107*t[14])/48 + (855*t[15])/8 + t[16] + 18*t[25] - 
       21*t[26] - 4*t[27] - 6*t[28] + 6*t[29] - 2*t[30] - 8*t[31] - 
       12*t[32] + 12*t[33] + 13*t[34] + 34*t[35] - 14*t[36] - 5*t[37] - 
       7*t[38] - (39*t[39])/2 + 14*t[40] - (13*t[41])/2 + (13*t[42])/2 + 
       (71*t[43])/2 - 21*t[44] - t[45]/2 - (47*t[46])/2 - 11*t[47] + 
       (175*t[48])/2 + 34*t[49] - 93*t[50] - (121*t[51])/16 + 58*t[52] - 
       76*t[53] + (155*t[54])/4 - 7*t[58] + (39*t[59])/2 + 207*t[60] + 
       (485*t[61])/4 + (971*t[62])/8 + (1917*t[63])/8 - (1941*t[64])/8 + 
       (2155*t[65])/12 + (361*t[66])/12 - 3*t[67] - 4*t[70] + 4*t[71] - 
       36*t[72] - 28*t[73] - 2*t[74] + 104*t[75] - (113*t[76])/2 + 6*t[77] + 
       (487*t[78])/2 - 20*t[79] + 182*t[80] + 6*t[81] + t[82]/2 - 86*t[83] + 
       (333*t[84])/4 - (57*t[85])/4 - 233*t[86] - (479*t[87])/4 + 
       (9*t[88])/8 + (35*t[89])/2 - 2*t[93] - 8*t[95] - 38*t[96] - 2*t[97] + 
       72*t[98] - 72*t[99] - 36*t[100]) + HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u]*
      ((-71*t[1])/2 + (89*t[2])/2 + 126*t[3] + (107*t[4])/2 + (461*t[5])/4 - 
       (1053*t[6])/8 - (1575*t[7])/8 - (1617*t[8])/8 - (1829*t[9])/8 - 
       (913*t[10])/8 - (151*t[11])/2 - (275*t[12])/4 - (22991*t[13])/144 - 
       (3047*t[14])/24 - (2867*t[15])/48 - 2*t[17] - 8*t[18] - 12*t[19] + 
       36*t[20] + 4*t[21] + 19*t[22] - 18*t[23] + 4*t[24] + 10*t[25] - 
       (23*t[26])/2 - 4*t[27] + 52*t[28] + 15*t[29] + 36*t[30] - 4*t[31] + 
       7*t[32] + 3*t[33] - 24*t[34] - 24*t[35] + 12*t[36] + 24*t[37] - 
       16*t[38] + 25*t[39] + 4*t[41] - 11*t[42] + (141*t[43])/8 - 
       (13*t[44])/2 + (103*t[45])/4 - 20*t[46] - (89*t[47])/2 + 
       (395*t[48])/4 + 53*t[49] - (151*t[50])/4 - (33*t[51])/8 + 
       (179*t[52])/4 - 59*t[53] - (283*t[54])/4 + (5*t[56])/2 + 2*t[57] + 
       t[58]/2 + 18*t[59] - (301*t[60])/2 - 154*t[61] + (377*t[62])/2 + 
       (535*t[63])/2 + (123*t[64])/2 - (905*t[65])/6 + (323*t[66])/2 + 
       t[67] + 4*t[70] - 4*t[71] + 10*t[74] + 4*t[76] - 8*t[77] - 6*t[78] + 
       12*t[80] - 9*t[81] - t[82] - 17*t[84] + (15*t[85])/2 - 71*t[86] - 
       (15*t[87])/2 - (15*t[88])/4 - (531*t[89])/4 + 2*t[92] - 4*t[94] + 
       4*t[97] + 72*t[98] - 72*t[99] - 36*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((15*t[1])/4 - (7*t[2])/2 + (37*t[3])/4 - (245*t[4])/16 - (29*t[5])/8 - 
       (129*t[6])/8 - 15*t[7] - 40*t[8] + (23*t[9])/8 + (383*t[10])/32 - 
       (39*t[11])/4 + (327*t[12])/32 + (173*t[13])/48 - (6923*t[14])/192 - 
       (131*t[15])/96 - 4*t[25] - t[26] + 4*t[27] + t[28] - 4*t[29] + 
       4*t[30] - t[31] + t[34]/2 - 9*t[35] - 6*t[36] + (9*t[38])/2 + 
       2*t[39] - 2*t[40] - t[41]/4 + t[42]/4 - 2*t[43] + t[44] + 3*t[45] + 
       (13*t[46])/4 - 6*t[47] - (123*t[48])/8 - (491*t[49])/32 + 
       (21*t[50])/8 + (931*t[51])/64 - (41*t[52])/8 + (539*t[53])/32 + 
       (95*t[54])/16 - t[58]/2 - 2*t[59] - (395*t[60])/16 - (1059*t[61])/16 + 
       (245*t[62])/32 - (1525*t[63])/32 + (1489*t[64])/32 - (827*t[65])/144 - 
       (227*t[66])/48 + 6*t[72] - 15*t[75] + (25*t[76])/2 + (7*t[77])/2 - 
       35*t[78] + 24*t[79] - 9*t[80] - t[81]/2 - t[82] + 12*t[83] - 
       (241*t[84])/16 - (69*t[85])/16 + 4*t[86] - (53*t[87])/16 - 
       (53*t[88])/32 - (169*t[89])/32 + t[97]/2 + 42*t[98] - 42*t[99] - 
       36*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-t[1] - (133*t[2])/4 - (443*t[3])/16 - 
       4*t[4] - (265*t[5])/32 - (121*t[6])/16 + (767*t[7])/16 - 
       (351*t[8])/16 + (169*t[9])/32 + (1251*t[10])/16 + (783*t[11])/16 + 
       (429*t[12])/32 + (5081*t[13])/288 + (10337*t[14])/288 + 
       (14063*t[15])/576 + t[18]/3 + 6*t[19] - 6*t[21] + (26*t[23])/3 - 
       t[26]/2 + t[27] - 8*t[28] - t[29] + 7*t[30] - t[32] + t[33] + 
       t[34]/2 + 24*t[35] - 3*t[37] - 5*t[39] + 2*t[40] - (17*t[41])/12 + 
       (17*t[42])/12 + (39*t[43])/8 + 4*t[44] + (79*t[45])/4 + (3*t[46])/2 - 
       (53*t[47])/2 - (217*t[48])/8 - (41*t[49])/8 + (123*t[50])/8 + 
       (47*t[51])/16 - (143*t[52])/8 + (41*t[53])/8 - (61*t[54])/8 - 
       t[58]/2 + (7*t[59])/3 + 60*t[60] + (115*t[61])/3 - 63*t[62] + 
       (119*t[63])/2 - (271*t[64])/8 - (3407*t[65])/72 - (3737*t[66])/72 + 
       2*t[67] + 16*t[69] - 9*t[70] + 9*t[71] - 15*t[74] + (7*t[76])/2 + 
       (9*t[77])/2 - 5*t[78] - 6*t[79] - (55*t[80])/2 + 3*t[81] - 
       (51*t[82])/4 - (9*t[83])/2 - (9*t[84])/4 + (17*t[85])/2 + t[86]/2 - 
       (79*t[87])/2 - (79*t[88])/4 + (5*t[89])/2 + t[97]/2 + 42*t[98] - 
       42*t[99] - 36*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-t[1]/12 + (3*t[2])/2 - (19*t[3])/2 + 
       (593*t[4])/12 - (85*t[5])/3 + (67*t[6])/3 - (173*t[7])/12 - 
       (149*t[8])/6 + (161*t[9])/8 + (767*t[10])/24 - (125*t[11])/8 + 
       (5*t[12])/24 - (289*t[13])/48 + (4043*t[14])/144 - (65*t[15])/12 + 
       (5*t[18])/3 + (2*t[21])/3 + 2*t[22] + (2*t[23])/3 + (2*t[24])/3 + 
       t[34]/3 - t[35] - 2*t[37] - t[41]/6 + t[42]/6 - (29*t[43])/12 - 
       (11*t[45])/12 - t[46]/3 + t[47]/2 - (23*t[48])/24 + (91*t[49])/24 - 
       (79*t[50])/24 - (89*t[51])/48 + (119*t[52])/24 - (91*t[53])/24 + 
       (27*t[54])/8 - t[58]/3 + (73*t[59])/12 + (32*t[60])/3 + (83*t[61])/6 + 
       (226*t[62])/3 + (343*t[63])/6 - (2255*t[64])/24 - (219*t[65])/4 + 
       (185*t[66])/6 - t[69] + (2*t[70])/3 - (2*t[71])/3 - t[74]/3 + t[76] - 
       (2*t[78])/3 - (19*t[79])/2 - (190*t[80])/3 + (13*t[81])/3 - 
       (11*t[82])/3 - (15*t[83])/2 + (5*t[84])/4 + (25*t[85])/4 - 
       (649*t[86])/6 - (89*t[87])/12 - (89*t[88])/24 + (61*t[89])/24 + 
       8*t[98] - 8*t[99] - 36*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((8*t[1])/3 + (25*t[2])/72 - (7*t[3])/36 - 
       (155*t[4])/288 + (313*t[5])/144 + (31*t[6])/4 - t[7] + (595*t[8])/36 - 
       (505*t[9])/144 - (1573*t[10])/192 + (1517*t[11])/144 + 
       (441*t[12])/64 + (2801*t[13])/864 + (24743*t[14])/3456 - 
       (3545*t[15])/1728 - (26*t[25])/9 + (37*t[26])/36 - (7*t[27])/9 + 
       (5*t[28])/9 - (2*t[29])/9 - (5*t[30])/18 - (47*t[31])/9 - 
       (7*t[34])/18 - 3*t[35] + t[36]/3 - (5*t[37])/3 + (9*t[38])/4 - 
       (2*t[39])/9 + (2*t[40])/9 + (7*t[41])/36 - (7*t[42])/36 - 
       (4*t[43])/9 - (7*t[44])/9 - 2*t[45] - (91*t[46])/36 + 4*t[47] + 
       (71*t[48])/8 - (751*t[49])/192 - (9*t[50])/8 + (1625*t[51])/1152 + 
       (221*t[52])/72 + (181*t[53])/64 + (37*t[54])/96 + (7*t[58])/18 + 
       (25*t[59])/72 + (1391*t[60])/288 + (1549*t[61])/96 + 
       (3235*t[62])/576 - (3001*t[63])/192 - (14473*t[64])/576 + 
       (9509*t[65])/864 - (433*t[66])/96 - 2*t[69] + (5*t[72])/3 + t[74]/6 - 
       (17*t[75])/3 - (25*t[76])/18 - (25*t[77])/18 - (34*t[78])/9 + 
       (35*t[79])/6 + (13*t[80])/3 - (187*t[81])/36 + (59*t[82])/18 - 
       (41*t[83])/6 + (2701*t[84])/288 - (811*t[85])/288 - (17*t[86])/18 + 
       (359*t[87])/96 + (743*t[88])/192 - (187*t[89])/576 - 2*t[95] - 
       (7*t[97])/18 - (47*t[98])/3 + (71*t[99])/3 - (106*t[100])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-47*t[1])/12 - (57*t[2])/8 - (2599*t[3])/144 + (4787*t[4])/72 - 
       (1445*t[5])/32 + (205*t[6])/6 - (1357*t[7])/144 - (5767*t[8])/144 + 
       (10327*t[9])/288 - (23*t[10])/36 + (815*t[11])/36 + (255*t[12])/32 + 
       (337*t[13])/864 + (8639*t[14])/432 - (19675*t[15])/1728 - t[19] - 
       t[21] + t[23] + 2*t[28] - 2*t[30] + (31*t[31])/6 + (13*t[35])/2 + 
       4*t[37] + 2*t[39] + (5*t[41])/6 - (13*t[42])/12 - (85*t[43])/36 - 
       2*t[44] - (37*t[45])/12 + t[46]/6 + (67*t[47])/6 - (95*t[48])/16 + 
       (131*t[49])/144 - (823*t[50])/144 + (193*t[51])/288 + 
       (823*t[52])/144 - (131*t[53])/144 - (1015*t[54])/144 - (13*t[59])/4 + 
       (475*t[60])/12 + (323*t[61])/12 + (7067*t[62])/72 + (677*t[63])/9 - 
       (4457*t[64])/36 - (10519*t[65])/216 + (1973*t[66])/108 + 5*t[69] + 
       (7*t[72])/2 - t[73] + (28*t[74])/3 + 2*t[75] + (5*t[77])/6 - 
       (193*t[79])/12 - (131*t[80])/3 + (16*t[81])/3 - 2*t[82] - 
       (221*t[83])/18 + (325*t[84])/72 + (1757*t[85])/72 - (3983*t[86])/36 - 
       (2515*t[87])/72 - (2515*t[88])/144 - t[89]/72 - (100*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((17*t[1])/8 + (221*t[2])/144 - (749*t[3])/72 + (2273*t[4])/576 - 
       (4525*t[5])/288 + (76*t[6])/3 + (33*t[7])/4 + (172*t[8])/9 + 
       (6463*t[9])/288 + (4351*t[10])/384 + (4267*t[11])/288 - 
       (579*t[12])/128 + (6577*t[13])/1728 + (343123*t[14])/6912 + 
       (8255*t[15])/3456 + t[19]/3 + (16*t[25])/9 - (145*t[26])/72 - 
       (41*t[27])/18 + (32*t[28])/9 + (7*t[29])/9 + t[30]/18 + (10*t[31])/9 - 
       (7*t[34])/18 - (13*t[35])/6 - t[36]/12 - (7*t[37])/6 + (5*t[38])/8 + 
       (25*t[39])/9 - (25*t[40])/9 + (7*t[41])/36 - (7*t[42])/36 + 
       (7*t[43])/18 - (7*t[44])/9 + 2*t[45] - (877*t[46])/144 - 4*t[47] + 
       (307*t[48])/48 + (4421*t[49])/384 - (281*t[50])/48 + 
       (2677*t[51])/2304 + (1123*t[52])/144 - (3277*t[53])/384 + 
       (671*t[54])/64 + (7*t[58])/18 + (11*t[59])/144 + (11551*t[60])/576 + 
       (10841*t[61])/192 - (9589*t[62])/1152 + (1341*t[63])/128 - 
       (4241*t[64])/1152 - (19367*t[65])/1728 - (40087*t[66])/576 - t[72] - 
       3*t[73] + (17*t[74])/12 + (26*t[75])/3 - (50*t[76])/9 + 
       (29*t[77])/18 + (158*t[78])/9 - (83*t[79])/12 - (25*t[80])/6 + 
       (73*t[81])/72 - (139*t[82])/18 - (14*t[83])/3 + (1193*t[84])/576 - 
       (1079*t[85])/576 - (667*t[86])/36 - (1059*t[87])/64 - 
       (4105*t[88])/384 - (5555*t[89])/1152 + (4*t[95])/3 - (7*t[97])/18 - 
       (41*t[98])/3 + (47*t[99])/3 - (199*t[100])/6) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*(15*t[1] + (41*t[3])/4 - 
       48*t[4] - 10*t[5] - (123*t[6])/8 - (7*t[7])/4 - (65*t[8])/4 - 
       (31*t[9])/4 - 9*t[10] + (25*t[11])/8 - (147*t[12])/4 + 
       (695*t[13])/24 - (289*t[14])/24 - 14*t[15] + 2*t[16] - 4*t[25] - 
       26*t[26] - 3*t[28] - 3*t[31] + 3*t[35] + 2*t[36] - 9*t[37] + 
       24*t[38] - 3*t[39] + 3*t[40] - 3*t[45] - (47*t[46])/2 + 6*t[47] - 
       (27*t[48])/8 + (129*t[49])/4 - (7*t[50])/8 + (27*t[51])/2 + 
       (7*t[52])/8 - (129*t[53])/4 - (65*t[54])/8 - 14*t[59] - 
       (111*t[60])/4 + (27*t[61])/4 - (45*t[62])/4 - (87*t[63])/4 + 
       (229*t[64])/8 + 41*t[65] - (235*t[66])/3 - 2*t[67] - 18*t[69] + 
       9*t[70] - 9*t[71] + 12*t[74] - 25*t[75] - 3*t[77] - 3*t[78] + 
       11*t[79] + 9*t[80] - 2*t[81] + 2*t[82] + (57*t[83])/2 + (19*t[84])/4 + 
       (53*t[85])/4 + 37*t[86] + (41*t[87])/4 + (29*t[88])/8 - 
       (177*t[89])/8 + 12*t[99] - 33*t[100]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-6*t[1] + (3*t[2])/4 + (21*t[3])/4 + 
       (39*t[4])/2 - (405*t[5])/8 - (217*t[6])/8 - 14*t[7] - 2*t[8] + 
       (379*t[9])/8 - 13*t[10] + (7*t[11])/8 + (261*t[12])/8 + 
       (109*t[13])/6 - (667*t[14])/24 - (443*t[15])/16 + 11*t[31] + 8*t[35] - 
       16*t[37] - 8*t[43] - 3*t[44] - 3*t[45] + (9*t[46])/2 + 9*t[47] - 
       (89*t[48])/8 - 12*t[49] - (57*t[50])/8 + (27*t[51])/8 + (57*t[52])/8 + 
       12*t[53] + (49*t[54])/8 - 14*t[59] - (31*t[60])/2 - 47*t[61] + 
       (175*t[62])/4 - (371*t[63])/4 - (65*t[64])/2 + (53*t[65])/2 + 
       (223*t[66])/6 - 2*t[67] - 18*t[69] + 9*t[70] - 9*t[71] + 15*t[74] - 
       3*t[75] - 12*t[79] + 15*t[80] + 2*t[81] - 8*t[82] + (15*t[83])/2 + 
       17*t[85] - 22*t[86] + 5*t[87] + (5*t[88])/2 - (17*t[89])/2 + 
       12*t[99] - 33*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((5*t[1])/6 - (289*t[2])/24 + (137*t[3])/48 - 
       (1057*t[4])/48 + (8213*t[5])/288 - (86*t[6])/9 - (41*t[7])/4 - 
       (2599*t[8])/72 - (13435*t[9])/288 - (1471*t[10])/96 + (85*t[11])/18 - 
       (569*t[12])/144 - (5939*t[13])/432 - (4237*t[14])/1728 + 
       (10579*t[15])/1728 + (31*t[18])/18 + t[19]/2 - (5*t[21])/3 + 
       (2*t[22])/3 + (17*t[23])/6 + (2*t[24])/9 - t[25]/3 - (11*t[26])/12 - 
       (2*t[27])/3 - (3*t[28])/2 + t[30] + (61*t[31])/18 - (2*t[32])/3 + 
       (2*t[33])/3 + (8*t[34])/3 + (11*t[35])/2 + (3*t[38])/2 - (5*t[39])/3 + 
       (23*t[40])/12 + (7*t[41])/3 - (5*t[42])/4 + (691*t[43])/144 + 
       (14*t[44])/3 + (79*t[45])/24 + (8*t[46])/3 - (161*t[47])/12 + 
       (221*t[48])/72 - (187*t[49])/288 - (575*t[50])/72 - (125*t[51])/576 + 
       (167*t[52])/72 + (187*t[53])/288 + (319*t[54])/48 - (5*t[58])/12 - 
       (25*t[59])/24 + (259*t[60])/24 + (517*t[61])/36 + (7273*t[62])/288 + 
       (1573*t[63])/96 + (1257*t[64])/16 - (13967*t[65])/432 + 
       (5915*t[66])/432 + t[67]/3 - 2*t[69] + (2*t[70])/3 - (2*t[71])/3 + 
       (5*t[74])/6 + (3*t[75])/2 + t[76]/3 - (2*t[77])/3 + (5*t[78])/12 + 
       (7*t[79])/3 + (47*t[80])/6 + (25*t[81])/12 + (5*t[82])/4 - 
       (98*t[83])/9 + (20*t[84])/9 - (29*t[85])/9 - (721*t[86])/36 - 
       (11*t[87])/18 - (11*t[88])/36 - (233*t[89])/48 - t[94]/6 + 
       (5*t[97])/12 + 2*t[98] - 4*t[99] - (389*t[100])/12) + 
     HPL[{1}, 1 - w]^2*Qep[v, u, w]*(-8*t[2] + (16*t[3])/3 + 44*t[4] + 
       (88*t[5])/3 + 56*t[6] - (272*t[7])/3 - (8*t[8])/3 - 72*t[9] - 
       (146*t[10])/3 + 36*t[11] - 22*t[12] + (392*t[13])/9 + 17*t[14] + 
       (134*t[15])/9 + (32*t[24])/3 + (32*t[31])/3 + (16*t[43])/3 - 
       (64*t[47])/3 + (8*t[48])/3 + (34*t[49])/3 - (56*t[50])/3 - 
       (17*t[51])/3 + (56*t[52])/3 - (34*t[53])/3 - (44*t[54])/3 + 
       (232*t[61])/3 + 62*t[62] + (38*t[63])/3 - (8*t[64])/3 - 
       (692*t[65])/9 - (596*t[66])/9 - (32*t[79])/3 - (32*t[83])/3 - 
       (16*t[84])/3 + (16*t[85])/3 - 80*t[86] + (16*t[87])/3 + (8*t[88])/3 - 
       (64*t[89])/3 - 32*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*(20*t[2] + 33*t[3] + 109*t[4] + 
       (127*t[5])/4 + (125*t[6])/4 - (73*t[7])/2 - 124*t[8] - (335*t[9])/4 + 
       8*t[10] - (355*t[11])/2 - (571*t[12])/4 - (3967*t[13])/72 - 
       (607*t[14])/12 + (505*t[15])/24 + 2*t[22] + 6*t[29] - 20*t[41] + 
       20*t[42] - (31*t[43])/2 + 8*t[44] + (107*t[45])/2 - 95*t[47] - 
       11*t[48] + 4*t[49] + 11*t[50] - 2*t[51] - 11*t[52] - 4*t[53] - 
       19*t[54] - 20*t[59] + (103*t[60])/2 - 343*t[61] + (737*t[62])/4 - 
       (521*t[63])/4 - (1189*t[64])/4 + (29*t[65])/6 + (2407*t[66])/6 - 
       41*t[77] - 186*t[80] - 27*t[82] - 8*t[83] + 19*t[86] - 14*t[87] - 
       7*t[88] + (281*t[89])/4 - 32*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(-28*t[3] + (235*t[4])/2 - (7*t[5])/2 - 
       (65*t[6])/2 + 35*t[7] - 50*t[8] + 54*t[9] - (239*t[10])/4 + 
       (167*t[11])/2 - (237*t[12])/4 + 60*t[13] - (1303*t[14])/12 + 
       (157*t[15])/6 + (7*t[19])/3 - 9*t[37] - 21*t[48] + (239*t[49])/4 + 
       21*t[50] - (29*t[51])/2 - 21*t[52] - (235*t[53])/4 - 118*t[54] + 
       145*t[60] - (127*t[61])/2 + 166*t[62] - 168*t[63] - (329*t[64])/4 + 
       38*t[65] + (323*t[66])/3 - 34*t[75] - 19*t[76] + 27*t[78] + 39*t[81] + 
       42*t[83] + (47*t[84])/2 + (99*t[85])/2 + (11*t[87])/2 + (11*t[88])/4 + 
       (317*t[89])/2 - 32*t[100]) + HPL[{0, 1}, 1 - u]*Qep[v, w, u]*
      ((64*t[1])/3 - 8*t[2] + 56*t[3] - (112*t[4])/3 + (200*t[5])/3 - 
       (100*t[6])/3 - (280*t[7])/3 - (224*t[8])/3 - (236*t[9])/3 - 
       136*t[10] - (124*t[11])/3 - (136*t[12])/3 - 144*t[13] - (8*t[14])/9 + 
       (136*t[15])/9 + (128*t[28])/3 - (32*t[30])/3 - (128*t[31])/3 - 
       (64*t[35])/3 + (64*t[37])/3 + (64*t[39])/3 + 24*t[43] - (64*t[44])/3 + 
       (40*t[45])/3 - (80*t[47])/3 + (164*t[48])/3 - 8*t[49] - 20*t[50] - 
       (4*t[51])/3 + 20*t[52] + 8*t[53] + 36*t[54] + 32*t[59] - 
       (104*t[60])/3 + (328*t[61])/3 + (140*t[62])/3 + (316*t[63])/3 - 
       4*t[64] - (128*t[65])/9 + (848*t[66])/9 + (64*t[69])/3 - 
       (32*t[73])/3 + (32*t[75])/3 - (128*t[80])/3 - (16*t[81])/3 - 
       (32*t[82])/3 - (184*t[85])/3 - 96*t[86] + (152*t[87])/3 + 
       (76*t[88])/3 - 44*t[89] + 64*t[98] - 64*t[99] - 32*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (t[1] - (7*t[2])/4 - (17*t[3])/6 + (43*t[4])/12 - (79*t[5])/12 + 
       (43*t[6])/4 - (11*t[7])/6 + (149*t[8])/6 + 22*t[9] - (65*t[10])/8 - 
       (83*t[11])/6 - (143*t[12])/24 - (103*t[13])/36 + (513*t[14])/16 - 
       (69*t[15])/8 + 2*t[25] - 2*t[26] - (8*t[27])/3 + (16*t[28])/3 + 
       (8*t[29])/3 - (17*t[30])/3 - 2*t[31] + 4*t[35] + (8*t[39])/3 + 
       t[41]/2 - t[42]/2 - t[43] - (14*t[44])/3 - (9*t[46])/2 + 
       (137*t[48])/12 + (73*t[49])/8 - (127*t[50])/12 - (149*t[51])/48 + 
       (127*t[52])/12 - (73*t[53])/8 + 13*t[54] + t[59] + (64*t[60])/3 - 
       (93*t[62])/8 + (967*t[63])/24 - (11*t[64])/6 + (781*t[65])/36 - 
       (223*t[66])/36 - (8*t[72])/3 - 3*t[74] + 14*t[75] - t[76] + 10*t[78] - 
       2*t[80] + (13*t[81])/3 - (11*t[82])/3 - (62*t[83])/3 + (26*t[84])/3 + 
       (13*t[85])/6 + 6*t[86] - (115*t[87])/6 - (115*t[88])/12 + 
       (61*t[89])/6 - 28*t[98] + 36*t[99] - 32*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-3*t[1])/2 - (3*t[2])/4 - (25*t[3])/4 + 2*t[4] - (123*t[5])/8 + 
       (97*t[6])/4 - (75*t[7])/4 - (29*t[8])/4 + (121*t[9])/8 + (9*t[10])/4 + 
       (103*t[11])/4 + (21*t[12])/8 - (155*t[13])/36 + 20*t[14] + 
       (97*t[15])/48 + 5*t[31] + t[35] + t[37] + (7*t[43])/2 + (3*t[46])/2 + 
       (5*t[48])/4 - 6*t[49] - (35*t[50])/4 + (15*t[51])/8 + (35*t[52])/4 + 
       6*t[53] + (29*t[54])/4 - 4*t[59] + (95*t[60])/4 + (75*t[61])/4 + 
       (195*t[62])/8 + (261*t[63])/8 - (257*t[64])/8 + (173*t[65])/12 - 
       (41*t[66])/3 + t[67]/2 + 3*t[74] - 7*t[79] - 3*t[80] + 5*t[81] - 
       5*t[82] - 10*t[83] + 5*t[84] + (15*t[85])/2 - 42*t[86] - 
       (35*t[87])/2 - (35*t[88])/4 + (35*t[89])/8 - (63*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-7*t[1])/2 - (19*t[3])/8 + (119*t[4])/16 - (379*t[5])/48 + 
       (19*t[6])/48 - (211*t[7])/24 - (401*t[8])/24 + (367*t[9])/48 + 
       (757*t[10])/32 - (313*t[11])/48 + (47*t[12])/32 + (71*t[13])/9 + 
       (2039*t[14])/576 + (33*t[15])/16 - (5*t[16])/12 - (5*t[19])/6 + 
       t[25]/2 + (13*t[26])/12 + t[27] + 4*t[28] - t[29]/2 + 5*t[31] + 
       t[34]/2 - (9*t[35])/2 - (19*t[36])/6 + (2*t[37])/3 - (23*t[38])/12 + 
       (55*t[39])/12 - (10*t[40])/3 - t[41]/4 + t[42]/4 + (29*t[45])/6 + 
       (3*t[46])/4 - (29*t[47])/3 - (25*t[48])/16 - (11*t[49])/96 + 
       (13*t[50])/48 + (29*t[51])/192 - (53*t[52])/48 - (29*t[53])/96 - 
       (37*t[54])/8 - (7*t[58])/12 + (13*t[59])/12 + (161*t[60])/16 + 
       (437*t[61])/16 + (2441*t[62])/96 + (23*t[63])/96 - (4645*t[64])/96 - 
       (2881*t[65])/144 - (329*t[66])/48 - t[67]/12 - t[69] + (14*t[74])/3 - 
       t[75]/2 + t[76]/3 + (7*t[77])/2 + (13*t[78])/3 + t[79] - 
       (65*t[80])/6 + (9*t[81])/2 - (15*t[82])/4 - 3*t[83] + (157*t[84])/16 + 
       (73*t[85])/16 - (128*t[86])/3 - (601*t[87])/48 - (203*t[88])/32 + 
       (217*t[89])/32 - (2*t[95])/3 + (5*t[96])/6 - t[97]/3 + 2*t[98] - 
       4*t[99] - (187*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*((-50*t[1])/3 - (14*t[3])/3 - 12*t[4] - 
       (5*t[5])/3 - (29*t[6])/6 + (50*t[7])/3 - 24*t[8] + (37*t[9])/3 - 
       (44*t[10])/3 + (17*t[11])/6 + (251*t[12])/6 + (433*t[13])/36 + 
       (11*t[14])/36 + (133*t[15])/36 - (4*t[16])/3 + (13*t[25])/3 + 
       (10*t[26])/3 - (23*t[29])/6 - (4*t[30])/3 + (46*t[36])/3 + 10*t[37] - 
       6*t[38] + t[39]/3 - t[40]/3 + (21*t[44])/2 + (13*t[46])/3 - 
       (25*t[48])/6 - (32*t[49])/3 + (37*t[50])/6 - (23*t[51])/12 - 
       (37*t[52])/6 + (32*t[53])/3 - (13*t[54])/6 + (32*t[59])/3 - 
       (11*t[60])/3 - (3*t[61])/2 + (133*t[62])/12 - (11*t[63])/4 - 
       (301*t[64])/12 + (509*t[65])/18 - (61*t[66])/2 + (4*t[67])/3 - 
       2*t[69] - 10*t[70] + 10*t[71] + 8*t[73] - 8*t[74] - (32*t[75])/3 + 
       (26*t[76])/3 - 10*t[78] + (22*t[79])/3 + (7*t[81])/3 - (5*t[82])/3 - 
       12*t[83] + (9*t[84])/2 - (34*t[86])/3 + (41*t[87])/3 + (41*t[88])/6 + 
       (14*t[89])/3 - 31*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*((22*t[1])/3 - (17*t[3])/6 - (8*t[4])/3 - 
       (5*t[5])/2 - (3*t[6])/8 - (91*t[7])/6 - (421*t[8])/6 - t[9]/6 + 
       (49*t[10])/3 + (815*t[11])/24 + (53*t[12])/12 + (22*t[13])/9 - 
       (335*t[14])/18 + (649*t[15])/36 - (25*t[29])/6 - (4*t[30])/3 + 
       7*t[31] + t[39]/3 - t[40]/3 + (73*t[43])/6 + (38*t[44])/3 + 
       (13*t[46])/2 - (269*t[48])/24 - (88*t[49])/3 + (179*t[50])/24 + 
       (235*t[51])/24 - (179*t[52])/24 + (86*t[53])/3 + (55*t[54])/8 - 
       6*t[59] - (53*t[60])/12 + (115*t[61])/4 - (101*t[62])/6 - 8*t[63] + 
       (1757*t[64])/24 + (2255*t[65])/36 - (2285*t[66])/36 - 2*t[67] - 
       2*t[69] - 10*t[70] + 10*t[71] + 13*t[74] + (26*t[76])/3 - 10*t[78] + 
       15*t[79] + 26*t[80] + (59*t[81])/6 - (55*t[82])/6 - 3*t[83] + 
       (22*t[84])/3 + (137*t[85])/12 - (158*t[86])/3 + (143*t[87])/12 + 
       (143*t[88])/24 + (177*t[89])/8 - 31*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*(-8*t[1] - 75*t[2] - 
       5*t[3] + 118*t[4] - (19*t[5])/2 - 42*t[6] - 34*t[7] - 172*t[8] + 
       (25*t[9])/2 - 398*t[10] + 78*t[11] + (59*t[12])/2 + (701*t[13])/9 + 
       (182*t[14])/3 - (659*t[15])/12 + 24*t[31] + 2*t[43] - 44*t[46] - 
       12*t[48] + 91*t[49] - 12*t[50] - (25*t[51])/2 + 12*t[52] - 91*t[53] - 
       160*t[54] - 2*t[59] + 29*t[60] + 45*t[61] + (195*t[62])/2 + 
       (703*t[63])/2 + (91*t[64])/2 - (547*t[65])/3 - 4*t[66] + 4*t[67] - 
       88*t[74] - 102*t[79] + 8*t[80] + 24*t[85] + 26*t[86] - 24*t[87] - 
       12*t[88] + (25*t[89])/2 - 30*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(2*t[1] - t[3] + 2*t[4] - 
       (65*t[5])/4 - 13*t[6] - 3*t[7] - 21*t[8] + (15*t[9])/4 + 12*t[10] + 
       5*t[11] + (11*t[12])/4 + (25*t[13])/9 - (31*t[14])/4 - (59*t[15])/24 - 
       4*t[25] + 4*t[27] - 2*t[29] - 2*t[35] + 4*t[38] + 2*t[45] - 6*t[46] - 
       4*t[47] - (21*t[48])/2 - 2*t[49] + (11*t[50])/2 + (15*t[51])/2 - 
       (11*t[52])/2 + 2*t[53] - (19*t[54])/2 - 2*t[59] - 17*t[60] - 
       21*t[61] - 9*t[62] - 31*t[63] - (49*t[64])/2 - (23*t[65])/3 - 
       (80*t[66])/3 - 4*t[69] + 4*t[72] + 2*t[74] - 6*t[75] - 2*t[78] - 
       2*t[80] + 20*t[83] - 5*t[84] + 5*t[85] + 28*t[86] + 11*t[87] + 
       (11*t[88])/2 - (21*t[89])/2 + 8*t[99] - 30*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((19*t[1])/2 - (19*t[2])/2 - (193*t[3])/4 + t[4]/4 - 34*t[5] + 
       (267*t[6])/8 + (99*t[7])/4 + (243*t[8])/4 + 43*t[9] + (501*t[10])/8 + 
       (49*t[11])/8 + (123*t[12])/8 + (2515*t[13])/36 + (467*t[14])/16 + 
       (439*t[15])/18 + t[17] + 4*t[19] - 24*t[20] - 4*t[21] + 2*t[22] + 
       4*t[23] - 4*t[24] - 2*t[26] + 2*t[27] - 34*t[28] - 3*t[29] - 2*t[30] + 
       6*t[31] - 2*t[32] + 3*t[34] + 16*t[35] - 4*t[36] - 12*t[37] + 
       2*t[38] - 16*t[39] + 5*t[40] - (9*t[41])/2 + (9*t[42])/2 - 
       (31*t[43])/4 + (15*t[44])/2 - (21*t[45])/2 + 3*t[46] + 22*t[47] - 
       (223*t[48])/8 - (67*t[49])/8 + (37*t[50])/8 + (53*t[51])/16 - 
       (109*t[52])/8 + (83*t[53])/8 + (81*t[54])/8 + 4*t[57] + (5*t[59])/2 - 
       (43*t[60])/4 + (187*t[61])/4 - (417*t[62])/8 - (1071*t[63])/8 - 
       (559*t[64])/8 - (299*t[65])/12 - (791*t[66])/12 - 4*t[69] + 24*t[72] - 
       20*t[73] + 2*t[74] - 62*t[75] - 24*t[76] - 49*t[78] - 8*t[79] + 
       4*t[80] + 2*t[81] + 4*t[82] + 30*t[83] - (17*t[84])/4 + 
       (121*t[85])/4 + 28*t[86] + (47*t[87])/4 + (47*t[88])/8 + 
       (57*t[89])/8 + 2*t[93] + 3*t[97] + 8*t[99] - 30*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2*(8*t[1] - (21*t[2])/4 - 
       (21*t[3])/4 - (45*t[4])/2 + (219*t[5])/8 + (33*t[6])/2 - 5*t[7] + 
       (73*t[8])/2 - (165*t[9])/8 - (29*t[10])/2 + (53*t[11])/2 - 
       (95*t[12])/8 + (367*t[13])/36 + 15*t[14] + (679*t[15])/48 + 3*t[29] - 
       6*t[31] - 8*t[35] + (21*t[43])/2 - (13*t[44])/2 + 13*t[48] - 
       (21*t[49])/4 - 6*t[50] + (21*t[51])/8 + 6*t[52] + (21*t[53])/4 + 
       11*t[54] + (13*t[59])/2 + (19*t[60])/4 + (157*t[61])/4 - 
       (19*t[62])/8 - (207*t[63])/8 + (219*t[64])/8 + (79*t[65])/12 - 
       (31*t[66])/3 + t[67] + (9*t[79])/2 + 18*t[80] + 2*t[81] - 2*t[82] - 
       6*t[83] + 3*t[84] - 6*t[85] + (37*t[86])/2 - (33*t[89])/8 - 
       (57*t[100])/2) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((43*t[1])/36 + (91*t[2])/72 - (55*t[3])/6 + 
       (1097*t[4])/36 - (338*t[5])/9 - (1655*t[6])/288 + (1549*t[7])/72 - 
       (1687*t[8])/36 + (629*t[9])/9 - (911*t[10])/144 + (9911*t[11])/288 + 
       (853*t[12])/144 + (7751*t[13])/1296 + (12329*t[14])/288 - 
       (11317*t[15])/864 + t[16] + (10*t[25])/3 + (32*t[26])/9 + 
       (23*t[27])/9 + (86*t[28])/9 - (13*t[29])/18 - (16*t[30])/9 - 
       (4*t[31])/3 + (25*t[32])/9 - (25*t[33])/9 - (5*t[34])/9 - 9*t[35] + 
       (22*t[37])/3 + (5*t[38])/6 + (107*t[39])/9 - (215*t[40])/36 + 
       (5*t[41])/18 - (5*t[42])/18 + (235*t[43])/72 + (125*t[44])/36 - 
       (28*t[45])/9 + (11*t[46])/6 + 9*t[47] - (3941*t[48])/288 - 
       (1313*t[49])/144 + (797*t[50])/96 + (187*t[51])/144 - 
       (1783*t[52])/288 + (1217*t[53])/144 - (1667*t[54])/288 + (2*t[58])/9 + 
       (11*t[59])/4 + (8737*t[60])/144 + (7319*t[61])/144 - 
       (17983*t[62])/288 - (8149*t[63])/288 + (1177*t[64])/96 - 
       (31609*t[65])/432 - (63647*t[66])/432 - t[67]/6 - (11*t[68])/2 + 
       (14*t[69])/3 - (2*t[70])/3 + (2*t[71])/3 - (5*t[73])/6 - t[74]/3 + 
       (23*t[75])/6 + (341*t[76])/18 + (14*t[77])/3 - (238*t[78])/9 - 
       (21*t[79])/2 - (43*t[80])/9 + (41*t[81])/4 - (359*t[82])/12 + 
       (13*t[83])/6 + (577*t[84])/48 + (1625*t[85])/144 + (115*t[86])/12 - 
       (5305*t[87])/144 - (6073*t[88])/288 + (461*t[89])/96 - t[90]/6 - 
       t[91]/12 + t[93] + (7*t[96])/3 - (2*t[97])/9 + (97*t[98])/3 - 
       (97*t[99])/3 - (85*t[100])/3) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*((-39*t[1])/8 + (11*t[2])/3 - (187*t[3])/96 + 
       (61*t[4])/12 - (75*t[5])/2 + (2283*t[6])/64 - (799*t[7])/32 - 
       (2245*t[8])/96 + (39*t[9])/2 + (2407*t[10])/96 - (8935*t[11])/192 + 
       (575*t[12])/24 - (4919*t[13])/1728 + (2267*t[14])/96 - 
       (605*t[15])/192 - t[16]/4 - (5*t[17])/4 - t[18] + 2*t[19] - 
       (9*t[20])/2 - t[21] + (5*t[22])/2 + t[23] - (3*t[24])/2 + 
       (31*t[25])/6 + (5*t[26])/4 - t[27]/3 - (13*t[28])/6 + (23*t[29])/24 - 
       (5*t[30])/4 + 14*t[31] + (13*t[32])/6 - (25*t[33])/6 + (43*t[34])/12 + 
       (73*t[35])/6 + t[36]/2 - (13*t[37])/6 - (15*t[38])/4 + (13*t[39])/3 - 
       (23*t[40])/4 + (41*t[41])/24 - (53*t[42])/24 - (179*t[43])/96 - 
       (155*t[44])/48 - (229*t[45])/48 - (103*t[46])/24 - (349*t[47])/24 + 
       (291*t[48])/64 - (11*t[49])/6 - (521*t[50])/64 + (103*t[51])/64 + 
       (3019*t[52])/192 + (7*t[53])/12 + (3751*t[54])/192 + t[56]/4 - 
       t[57]/2 + (2*t[58])/3 - (35*t[59])/12 + (349*t[60])/24 - 
       (2539*t[61])/48 + (3105*t[62])/32 + (1567*t[63])/32 - 
       (9325*t[64])/96 + (2101*t[65])/144 + (2321*t[66])/72 + t[67]/4 + 
       (3*t[68])/4 - (11*t[69])/3 + t[70] - t[71] + (7*t[72])/2 - 
       (31*t[73])/6 - t[74] + (32*t[75])/3 - (50*t[76])/3 - (43*t[77])/12 + 
       (215*t[78])/12 - (3*t[79])/4 - (88*t[80])/3 + (7*t[81])/2 + 
       (31*t[82])/4 - (23*t[83])/2 + (19*t[84])/3 + (127*t[85])/24 - 
       (989*t[86])/12 - (285*t[87])/16 - (285*t[88])/32 + (319*t[89])/48 - 
       t[91]/24 + t[92]/4 + t[93]/2 - t[94]/4 - (5*t[97])/12 - 76*t[98] + 
       91*t[99] - 26*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]^2*((7*t[1])/8 + t[2]/2 - (227*t[3])/48 + 
       (167*t[4])/12 - (211*t[5])/32 + (411*t[6])/32 - (1025*t[7])/48 - 
       (29*t[8])/12 - (313*t[9])/96 + (587*t[10])/48 + (929*t[11])/96 - 
       (127*t[12])/32 + (2021*t[13])/288 + (5117*t[14])/288 + 
       (1951*t[15])/576 + t[17]/8 + t[19] + t[20]/2 + (5*t[21])/4 - 
       (5*t[23])/4 + (5*t[24])/4 - t[26]/2 - t[27]/2 + t[28] - 2*t[30] + 
       t[31] + t[32]/2 - (17*t[35])/4 - (9*t[37])/4 + t[38]/2 + t[39] - 
       t[40]/2 + t[41] - t[42] + (47*t[43])/24 - t[44] + (3*t[45])/2 + 
       t[46]/2 - 6*t[47] + (147*t[48])/32 - (119*t[49])/48 - (595*t[50])/96 + 
       (65*t[51])/96 + (643*t[52])/96 + (119*t[53])/48 + (515*t[54])/96 - 
       (3*t[59])/4 + (27*t[60])/4 + (3*t[61])/8 + (2515*t[62])/96 + 
       (2927*t[63])/96 - (253*t[64])/12 + (569*t[65])/144 - 
       (1265*t[66])/144 - (5*t[69])/4 + t[72] + t[74] + t[75] - 3*t[76] - 
       t[77]/2 - (5*t[78])/4 + 5*t[79] - (3*t[80])/4 + (9*t[81])/4 - 
       (7*t[82])/4 - (151*t[83])/24 + (343*t[84])/48 + (167*t[85])/48 - 
       (343*t[86])/12 - (397*t[87])/48 - (397*t[88])/96 - (215*t[89])/24 - 
       (9*t[96])/4 - (3*t[97])/2 - 24*t[98] + 26*t[99] - (205*t[100])/8) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-41*t[3])/12 + t[4]/24 + (127*t[5])/12 - (3*t[6])/4 + (25*t[7])/48 + 
       (23*t[8])/48 - (57*t[9])/16 + (85*t[10])/16 + (19*t[11])/3 + 
       (23*t[12])/24 - (61*t[13])/36 + (57*t[14])/8 + (599*t[15])/96 - 
       t[22]/4 + (2*t[27])/3 + (2*t[28])/3 - (14*t[29])/3 + (5*t[30])/3 - 
       4*t[31] - 4*t[35] + 2*t[37] + (4*t[39])/3 + (13*t[43])/16 + 
       (8*t[44])/3 + (13*t[45])/8 + t[46] - (13*t[47])/4 - (5*t[48])/12 + 
       (13*t[50])/12 - (13*t[51])/12 - (13*t[52])/12 - (11*t[54])/4 + t[59] - 
       (305*t[60])/24 + (63*t[61])/4 + (27*t[62])/8 + (71*t[63])/24 + 
       (11*t[64])/24 - (491*t[65])/72 - (241*t[66])/72 - (4*t[72])/3 + 
       2*t[73] - (7*t[75])/2 + (5*t[81])/3 - (7*t[82])/3 + (5*t[83])/3 + 
       (5*t[84])/6 - (11*t[85])/3 - 3*t[86] + (67*t[87])/6 + (67*t[88])/12 - 
       (131*t[89])/48 + t[99] - (101*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
      (-t[1]/4 - (21*t[2])/8 + (3*t[3])/4 + 6*t[4] + (101*t[5])/16 - 
       (79*t[6])/16 - (5*t[7])/8 + (3*t[8])/8 - (107*t[9])/16 + (9*t[10])/8 + 
       (277*t[11])/16 - (33*t[12])/16 + (497*t[13])/36 - (47*t[14])/6 - 
       (55*t[15])/32 - (3*t[22])/2 - t[30] - (3*t[32])/2 + (3*t[33])/2 - 
       6*t[34] - 2*t[35] + (3*t[38])/2 - (3*t[39])/2 + (15*t[40])/4 + 
       (3*t[41])/4 - (3*t[42])/4 + (3*t[43])/4 + t[45]/2 + t[46] + 
       (17*t[47])/4 + (23*t[48])/16 - t[49]/2 - (41*t[50])/16 + t[51]/8 - 
       (31*t[52])/16 + t[53]/2 - (79*t[54])/16 + t[59]/8 - (11*t[60])/8 + 
       (67*t[61])/8 - (133*t[62])/8 - (239*t[63])/8 + (311*t[64])/16 + 
       (11*t[65])/12 - (145*t[66])/4 + 3*t[73] - 3*t[75] - (21*t[76])/4 + 
       3*t[78] + (7*t[80])/2 - (3*t[81])/4 - (3*t[82])/4 - 5*t[83] + 
       (27*t[84])/8 - (13*t[85])/8 + 19*t[86] + (41*t[87])/8 + 
       (41*t[88])/16 + (137*t[89])/16 - (3*t[97])/4 - 24*t[98] + 26*t[99] - 
       (199*t[100])/8) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*((43*t[1])/72 + (101*t[2])/72 - (81*t[3])/32 - 
       (161*t[4])/36 + (4037*t[5])/576 + (269*t[6])/288 + (3725*t[7])/288 + 
       (2039*t[8])/288 - (1973*t[9])/576 + (1105*t[10])/288 + 
       (2791*t[11])/288 - (3145*t[12])/576 - (24731*t[13])/5184 + 
       (3851*t[14])/576 + (34207*t[15])/3456 + t[25] + t[26]/9 - 
       (2*t[27])/9 + (4*t[28])/9 + (2*t[29])/9 + (4*t[30])/9 - (10*t[31])/3 + 
       (2*t[32])/9 - (2*t[33])/9 - t[34]/9 - (25*t[35])/3 + (8*t[37])/3 - 
       t[38] + (4*t[39])/9 - (4*t[40])/9 + t[41]/18 - t[42]/18 + 
       (631*t[43])/144 + (16*t[44])/9 + (16*t[45])/9 + (35*t[46])/12 - 
       (16*t[47])/3 + (47*t[48])/18 - (49*t[49])/144 + t[50] + 
       (163*t[51])/288 - (4*t[52])/9 + (49*t[53])/144 + (53*t[54])/72 + 
       t[58]/9 + (77*t[59])/24 + (175*t[60])/72 + (2033*t[61])/72 - 
       (2473*t[62])/144 - (1219*t[63])/144 - (365*t[64])/48 - 
       (1451*t[65])/432 - (9793*t[66])/432 + (8*t[69])/3 + (7*t[73])/6 - 
       (13*t[75])/6 - (7*t[76])/9 - t[77]/4 + (4*t[78])/9 - 2*t[79] + 
       (43*t[80])/9 + (7*t[81])/4 - (19*t[82])/3 + (9*t[83])/2 + 
       (13*t[84])/6 - (415*t[85])/72 + (23*t[86])/2 + (347*t[87])/72 + 
       (347*t[88])/144 - (199*t[89])/48 - t[97]/9 - (4*t[98])/3 + 
       (4*t[99])/3 - (145*t[100])/6) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*(8*t[1] + 4*t[3] - 34*t[4] - t[5] + 
       (43*t[6])/2 - (241*t[7])/2 - (193*t[8])/2 - 37*t[9] + (241*t[10])/2 + 
       (127*t[11])/2 + 30*t[12] + (8*t[13])/3 - (665*t[14])/12 + 
       (287*t[15])/6 + 16*t[31] + 34*t[43] + 21*t[46] - (13*t[48])/2 - 
       92*t[49] - (29*t[50])/2 + (121*t[51])/4 + (29*t[52])/2 + 92*t[53] + 
       (129*t[54])/2 - 16*t[59] + 25*t[60] + 11*t[61] + (289*t[62])/2 - 
       (181*t[63])/2 - 75*t[64] + (323*t[65])/3 - 44*t[66] - 6*t[67] + 
       42*t[74] + 39*t[79] + 6*t[81] - 6*t[82] - 8*t[83] + 4*t[84] + 
       21*t[85] - 217*t[86] - 29*t[87] - (29*t[88])/2 - (43*t[89])/2 - 
       24*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      ((-2*t[1])/3 - (5*t[2])/6 - (31*t[3])/8 - (109*t[4])/12 + 
       (169*t[5])/48 - (113*t[6])/24 + (235*t[7])/24 + t[8]/24 - 
       (97*t[9])/48 + (151*t[10])/12 + (191*t[11])/24 - (11*t[12])/48 + 
       (1241*t[13])/432 + (241*t[14])/24 + (2339*t[15])/288 - t[26]/3 + 
       (2*t[27])/3 - (4*t[28])/3 - (2*t[29])/3 + (2*t[30])/3 + 2*t[31] - 
       (2*t[32])/3 + (2*t[33])/3 + t[34]/3 - (4*t[39])/3 + (4*t[40])/3 - 
       t[41]/6 + t[42]/6 + (23*t[43])/12 + (8*t[44])/3 + (8*t[45])/3 + 
       2*t[46] - 8*t[47] - (10*t[48])/3 + (11*t[49])/24 - (3*t[50])/2 - 
       (23*t[51])/48 - t[52]/6 - (11*t[53])/24 - t[54]/12 - t[58]/3 + 
       (19*t[60])/3 + (115*t[61])/6 - (379*t[62])/24 + (131*t[63])/24 - 
       (59*t[64])/2 - (43*t[65])/36 - (959*t[66])/36 - t[75] + (7*t[76])/3 + 
       t[77] - (4*t[78])/3 - 2*t[79] + (14*t[80])/3 + (3*t[81])/2 - 3*t[82] + 
       t[83] + t[84]/4 + (8*t[85])/3 + 9*t[86] - (41*t[87])/6 - 
       (41*t[88])/12 - (17*t[89])/4 + t[97]/3 + 16*t[98] - 8*t[99] - 
       24*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*
      (-t[1]/2 - (5*t[2])/6 + (7*t[3])/6 + (91*t[4])/24 - (65*t[5])/12 - 
       3*t[6] - (27*t[7])/4 - (155*t[8])/12 + (20*t[9])/3 + (93*t[10])/16 + 
       (5*t[11])/12 + (69*t[12])/16 + (67*t[13])/12 - (1279*t[14])/288 + 
       (31*t[15])/144 - (2*t[25])/3 - (2*t[26])/3 + (2*t[27])/3 + 
       (2*t[28])/3 - (2*t[29])/3 + (2*t[30])/3 + (4*t[31])/3 + t[34]/3 - 
       2*t[35] - 2*t[36] + t[37] + t[38] + (4*t[39])/3 - (4*t[40])/3 - 
       t[41]/6 + t[42]/6 - t[43]/3 + (2*t[44])/3 + 2*t[45] + (8*t[46])/3 - 
       4*t[47] - (5*t[48])/2 - (77*t[49])/16 - 2*t[50] + (239*t[51])/96 + 
       t[52]/3 + (69*t[53])/16 + (11*t[54])/8 - t[58]/3 + (2*t[59])/3 + 
       (131*t[60])/24 - (31*t[61])/8 + (445*t[62])/48 - (127*t[63])/16 - 
       (1837*t[64])/48 - (7*t[65])/72 - (523*t[66])/24 + 2*t[74] - 3*t[75] + 
       (13*t[76])/3 + (7*t[77])/3 - (22*t[78])/3 + 2*t[79] - t[80] + 
       (7*t[81])/6 - (13*t[82])/6 - 3*t[83] - (5*t[84])/24 + (53*t[85])/24 - 
       (40*t[86])/3 - (89*t[87])/8 - (89*t[88])/16 + (5*t[89])/48 + t[97]/3 + 
       16*t[98] - 8*t[99] - 24*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-17*t[1])/6 - (223*t[2])/12 + (5*t[3])/6 - 
       (34*t[4])/3 + (289*t[5])/24 + (153*t[6])/8 - (1129*t[7])/24 - 
       (187*t[8])/8 - (619*t[9])/12 + (739*t[10])/24 - (955*t[11])/12 + 
       (45*t[12])/8 - (19669*t[13])/432 + (113*t[14])/72 + (181*t[15])/18 - 
       (5*t[17])/2 - (7*t[18])/3 + 3*t[19] - (5*t[21])/3 + (19*t[23])/3 + 
       (13*t[24])/3 - (2*t[25])/3 + (4*t[26])/3 + (2*t[27])/3 + 
       (14*t[28])/3 - (2*t[29])/3 - (10*t[30])/3 + (4*t[31])/3 - 
       (4*t[34])/3 - 4*t[35] - t[38]/3 + (10*t[39])/3 - (4*t[40])/3 - 
       t[41]/3 + (101*t[43])/24 - (4*t[44])/3 - (13*t[45])/12 - (2*t[46])/3 - 
       (95*t[47])/6 + (31*t[48])/4 - (32*t[49])/3 - (83*t[50])/12 + 3*t[51] + 
       (131*t[52])/12 + (32*t[53])/3 + (81*t[54])/4 + (2*t[58])/3 + 
       (25*t[59])/6 - (521*t[61])/6 + (1871*t[62])/12 + (75*t[63])/4 - 
       (247*t[64])/12 - (1489*t[65])/36 + (1873*t[66])/12 - t[67]/6 + 
       13*t[69] - t[70]/3 + t[71]/3 + 6*t[72] + t[74]/3 + 8*t[75] - 
       (10*t[76])/3 - (2*t[77])/3 + 6*t[78] + 12*t[79] - (71*t[80])/3 - 
       t[81]/6 + (53*t[82])/6 - 33*t[83] + (31*t[84])/4 - 13*t[85] - 
       128*t[86] - (21*t[87])/2 - (21*t[88])/4 - (67*t[89])/12 + 
       (4*t[94])/3 - (2*t[97])/3 - 24*t[98] + 4*t[99] - 23*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-209*t[1])/24 + (31*t[2])/2 - (3121*t[3])/96 - (349*t[4])/24 + 
       (4105*t[5])/192 + (7403*t[6])/96 - (151*t[7])/96 + (9127*t[8])/96 - 
       (2645*t[9])/192 + (6871*t[10])/96 - (3727*t[11])/96 - 
       (1955*t[12])/64 - (70471*t[13])/1728 + (16289*t[14])/192 + 
       (15521*t[15])/384 - 4*t[18] + (4*t[19])/3 + 17*t[20] - 6*t[21] + 
       6*t[23] - 2*t[24] + (14*t[25])/3 - (7*t[26])/6 - (25*t[27])/3 + 
       20*t[28] - (8*t[29])/3 - (55*t[30])/6 + (22*t[31])/3 + (8*t[32])/3 - 
       (5*t[33])/3 - 2*t[34] + (4*t[35])/3 + 2*t[36] - (7*t[37])/3 - 
       (16*t[38])/3 + (35*t[39])/3 - (31*t[40])/2 - 2*t[42] + 
       (611*t[43])/48 - 11*t[44] + (53*t[45])/8 - (25*t[46])/4 - 
       (253*t[47])/12 + (501*t[48])/16 + (239*t[49])/12 + (359*t[50])/48 - 
       (249*t[51])/16 + (387*t[52])/16 - (73*t[53])/4 + (949*t[54])/48 - 
       4*t[57] + (5*t[58])/6 + (43*t[59])/8 + (461*t[60])/24 + 
       (1499*t[61])/8 - (205*t[62])/48 + (1769*t[63])/16 - (1101*t[64])/16 - 
       (881*t[65])/16 + (3931*t[66])/48 - 2*t[67] + (7*t[68])/3 - 
       (7*t[69])/3 + 8*t[70] - 8*t[71] + 14*t[72] - (49*t[73])/3 - 4*t[74] + 
       (139*t[75])/3 - (257*t[76])/6 + (83*t[77])/12 + 87*t[78] - 28*t[79] - 
       (167*t[80])/3 - (28*t[81])/3 + (2*t[82])/3 - (37*t[83])/2 + 
       (425*t[84])/24 - (319*t[85])/8 - (317*t[86])/3 + (659*t[87])/24 + 
       (659*t[88])/48 - (665*t[89])/48 - t[90]/3 - t[92] + 2*t[93] + 
       2*t[94] - (17*t[97])/6 - 231*t[98] + 283*t[99] - (45*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((7*t[1])/3 + (3*t[2])/4 + (39*t[3])/8 + (709*t[4])/48 + (43*t[5])/8 + 
       (5*t[6])/12 + (13*t[7])/4 + (23*t[8])/2 - (139*t[9])/24 - 
       (1211*t[10])/96 + (277*t[11])/12 - (1555*t[12])/96 + (631*t[13])/72 + 
       (5053*t[14])/192 - (3835*t[15])/288 + t[16]/4 - t[19]/2 + 2*t[25] - 
       (11*t[26])/3 - (3*t[27])/2 - (9*t[28])/2 - (9*t[31])/2 + 5*t[35] + 
       (7*t[36])/2 + (3*t[37])/2 + (4*t[38])/3 - (9*t[39])/2 + (9*t[40])/2 - 
       3*t[45] + 3*t[46] + 6*t[47] + (9*t[48])/8 - (457*t[49])/96 - t[50]/8 - 
       (1675*t[51])/192 + t[52]/8 - (1207*t[53])/96 - (223*t[54])/48 - 
       (11*t[59])/4 + (355*t[60])/16 + (1553*t[61])/48 - (1889*t[62])/32 + 
       (3515*t[63])/96 + (113*t[64])/96 - (3079*t[65])/144 - 
       (7223*t[66])/144 + 4*t[69] + (3*t[72])/2 - 9*t[73] + (5*t[74])/2 - 
       (61*t[75])/2 + (7*t[76])/3 - (9*t[77])/2 - (35*t[78])/3 + 
       (9*t[79])/2 + 8*t[80] - (31*t[81])/12 + (5*t[82])/4 + (219*t[83])/4 + 
       (77*t[84])/16 + (269*t[85])/48 + (73*t[86])/2 + (113*t[87])/48 - 
       (199*t[88])/96 - (1261*t[89])/96 - (67*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-21*t[1])/4 + (25*t[2])/12 - (67*t[3])/4 + (101*t[4])/6 - 
       (875*t[5])/24 + (13*t[6])/3 + (11*t[7])/4 + (475*t[8])/12 - 
       (133*t[9])/24 - 2*t[10] + (617*t[11])/12 + (691*t[12])/24 + 
       (865*t[13])/24 + (247*t[14])/18 + (205*t[15])/48 + t[25] + 
       (49*t[26])/6 - 4*t[28] + 3*t[30] - 2*t[31] - t[32] + t[33] - 
       (5*t[34])/6 + 4*t[35] - 8*t[37] - 8*t[38] - 5*t[39] + (4*t[40])/3 + 
       (5*t[41])/12 - (5*t[42])/12 - (9*t[43])/2 + t[44] - 4*t[45] + 
       (4*t[46])/3 + 7*t[47] + (11*t[48])/3 + (7*t[49])/12 + (13*t[50])/3 - 
       (49*t[51])/24 - t[52]/6 - (13*t[53])/4 - (13*t[54])/6 + (5*t[58])/6 + 
       (79*t[59])/12 - (137*t[60])/12 + (79*t[61])/3 - (785*t[62])/24 - 
       (681*t[63])/8 + (77*t[64])/12 - (73*t[65])/18 - (1721*t[66])/18 + 
       (3*t[68])/2 - 4*t[69] + 6*t[72] + 2*t[73] + 2*t[74] - 4*t[75] - 
       (89*t[76])/6 - 4*t[77] + (29*t[78])/3 - 8*t[79] + 11*t[80] - 
       (5*t[81])/3 - (19*t[82])/3 + 8*t[83] - t[84]/3 - (73*t[85])/12 + 
       34*t[86] + (79*t[87])/12 + (55*t[88])/24 - (131*t[89])/12 - 
       (3*t[90])/2 - (5*t[97])/6 - 76*t[98] + 60*t[99] - 22*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-67*t[1])/24 + (103*t[2])/72 + (331*t[3])/48 + (4849*t[4])/576 - 
       (269*t[5])/32 - (1499*t[6])/288 - (3293*t[7])/144 - (3755*t[8])/144 - 
       (1733*t[9])/288 - (35*t[10])/1152 + (35*t[11])/18 + 
       (4693*t[12])/1152 + (17785*t[13])/1728 - (10103*t[14])/2304 - 
       (2005*t[15])/3456 + t[17]/4 + 2*t[19] - t[20]/2 + t[21]/2 + t[22]/2 - 
       t[23]/2 + (13*t[24])/9 - (13*t[25])/18 - (49*t[26])/72 + (5*t[27])/9 - 
       t[28]/9 - (83*t[29])/36 + (86*t[30])/9 + (61*t[31])/18 - t[32] - 
       (31*t[34])/18 - 4*t[35] - (5*t[36])/12 - t[37]/6 + (7*t[38])/8 - 
       (5*t[39])/9 + (11*t[40])/36 + (11*t[41])/18 - (11*t[42])/18 + 
       (7*t[43])/18 + (5*t[44])/9 + t[45] + (11*t[46])/144 - (14*t[47])/3 - 
       (83*t[48])/288 - (801*t[49])/128 - (1355*t[50])/288 + 
       (10549*t[51])/2304 + (1099*t[52])/288 + (1963*t[53])/384 - 
       (191*t[54])/576 - (5*t[58])/18 - (301*t[59])/144 - (8189*t[60])/576 + 
       (2807*t[61])/576 + (18419*t[62])/1152 + (653*t[63])/1152 + 
       (13067*t[64])/1152 - (31207*t[65])/1728 - (92149*t[66])/1728 - 
       (3*t[69])/2 + t[72]/6 + 2*t[73] - (23*t[74])/12 - t[75]/6 + 
       (16*t[76])/9 + (7*t[77])/9 + (145*t[78])/18 + (23*t[79])/24 - 
       (13*t[80])/6 + (451*t[81])/72 - (83*t[82])/36 - (29*t[83])/4 - 
       (10715*t[84])/576 - (8131*t[85])/576 - (917*t[86])/72 + 
       (313*t[87])/64 - (711*t[88])/128 - (23359*t[89])/1152 - (3*t[96])/2 - 
       (13*t[97])/18 + (4*t[98])/3 + (2*t[99])/3 - (131*t[100])/6) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-467*t[1])/144 - (311*t[2])/36 - (7253*t[3])/192 - (4285*t[4])/144 - 
       (7031*t[5])/384 + (15023*t[6])/576 - (3913*t[7])/576 + 
       (31405*t[8])/576 + (40157*t[9])/1152 - (2039*t[10])/576 - 
       (27823*t[11])/576 + (3103*t[12])/384 - (178277*t[13])/10368 + 
       (82289*t[14])/3456 - (49919*t[15])/6912 + t[16]/12 + t[17]/4 + 
       (5*t[18])/3 + (5*t[20])/2 - t[21] - t[22] + 2*t[23] - (17*t[24])/9 - 
       t[25]/2 - (5*t[26])/18 + (5*t[27])/9 + (17*t[28])/9 - (41*t[29])/36 - 
       (16*t[30])/9 - (20*t[31])/9 + (65*t[32])/18 + (7*t[33])/18 + 
       (184*t[34])/9 + (27*t[35])/2 - (29*t[36])/6 + (13*t[37])/3 - 
       (13*t[38])/3 - (61*t[39])/36 - (185*t[40])/36 - (29*t[41])/36 + 
       (43*t[42])/36 - (139*t[43])/288 - (547*t[44])/36 - (361*t[45])/36 + 
       t[46]/24 + (17*t[47])/3 + (1861*t[48])/144 - (59*t[49])/48 - 
       (1115*t[50])/144 - (47*t[51])/24 + (307*t[52])/16 - (37*t[53])/48 + 
       (5165*t[54])/144 + t[56]/6 + (2*t[57])/3 - (5*t[58])/18 - 
       (247*t[59])/144 + (1831*t[60])/144 - (5285*t[61])/144 - 
       (3157*t[62])/144 + (217*t[63])/144 + (10181*t[64])/96 + 
       (25949*t[65])/864 + (12607*t[66])/864 + 2*t[68] + (7*t[69])/6 + 
       (7*t[70])/3 - (7*t[71])/3 + (15*t[72])/2 + (29*t[73])/12 - 
       (5*t[74])/3 + t[75]/12 + (76*t[76])/9 - (9*t[77])/8 - t[78]/9 + 
       (157*t[79])/24 + (170*t[80])/9 + (179*t[81])/24 - (25*t[82])/12 + 
       (131*t[83])/9 + (161*t[84])/72 + (3565*t[85])/144 + (3635*t[86])/72 - 
       (1223*t[87])/48 - (607*t[88])/96 + (439*t[89])/32 + t[90]/6 - 
       (2*t[95])/3 - (17*t[96])/3 + (13*t[97])/9 + (250*t[98])/3 - 
       (307*t[99])/3 - (65*t[100])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-215*t[1])/144 - (193*t[2])/36 + 
       (2683*t[3])/192 - (1747*t[4])/144 - (6527*t[5])/384 + 
       (11359*t[6])/576 - (20881*t[7])/576 - (2099*t[8])/576 + 
       (26933*t[9])/1152 - (611*t[10])/576 - (15295*t[11])/576 + 
       (9071*t[12])/384 - (138485*t[13])/10368 + (19445*t[14])/3456 - 
       (13567*t[15])/768 + t[17]/4 + (2*t[18])/9 + 3*t[19] - (3*t[21])/2 + 
       t[22]/2 + (3*t[23])/2 - (2*t[24])/9 + (7*t[26])/18 - (7*t[27])/9 + 
       (23*t[28])/9 + (7*t[29])/9 - (16*t[30])/9 + (58*t[31])/9 + 
       (7*t[32])/9 - (7*t[33])/9 - (7*t[34])/18 + (25*t[35])/2 - 
       (23*t[37])/6 + (23*t[39])/9 - (19*t[40])/18 + (17*t[41])/18 - 
       (16*t[42])/9 - (3367*t[43])/288 - (7*t[44])/9 - (107*t[45])/18 - 
       (29*t[46])/24 + (49*t[47])/6 + (757*t[48])/144 + (7*t[49])/3 - 
       (1079*t[50])/144 - (75*t[51])/32 + (151*t[52])/16 - (7*t[53])/3 + 
       (899*t[54])/144 + (7*t[58])/18 + (7*t[59])/48 + (973*t[60])/144 + 
       (1609*t[61])/144 + (2735*t[62])/144 + (8593*t[63])/144 - 
       (1849*t[64])/96 + (6929*t[65])/864 + (19891*t[66])/864 + t[67]/2 + 
       (2*t[69])/3 - (7*t[72])/2 - (19*t[73])/12 - (14*t[74])/3 + 
       (55*t[75])/12 - (49*t[76])/18 + (31*t[77])/24 + (32*t[78])/9 + 
       (145*t[79])/24 + (71*t[80])/9 - (35*t[81])/24 + (29*t[82])/6 - 
       (499*t[83])/36 + (341*t[84])/72 - (785*t[85])/144 - (3601*t[86])/72 - 
       (63*t[87])/16 - (63*t[88])/32 - (355*t[89])/32 - t[94]/2 - 
       (7*t[97])/18 - (56*t[98])/3 + (62*t[99])/3 - (65*t[100])/3) + 
     HPL[{0, 1, 1}, 1 - u]*Omega2[u, v, w]*((-5*t[3])/2 - t[4] + (3*t[5])/4 + 
       t[6]/2 - t[7]/2 + (9*t[8])/2 - (3*t[9])/4 + (5*t[10])/2 - t[11]/2 - 
       (7*t[12])/4 + t[13]/4 + (23*t[14])/4 + (41*t[15])/24 - 2*t[29] - 
       8*t[60] + 3*t[61] + 2*t[62] - 2*t[64] + (13*t[65])/3 + t[66] - t[82] + 
       4*t[83] + 4*t[87] + 2*t[88] - 4*t[99] - (43*t[100])/2) + 
     HPL[{0, 1, 1}, 1 - w]*Omega2[v, w, u]*(t[1]/2 - (23*t[2])/2 - 
       (29*t[3])/4 + (19*t[4])/4 - (93*t[5])/8 - (5*t[6])/4 - (25*t[7])/4 + 
       t[8]/4 - (35*t[9])/8 - (3*t[10])/8 + (11*t[11])/2 + 5*t[12] - 
       t[13]/3 + (479*t[14])/48 - (91*t[15])/16 + (4*t[19])/3 + 2*t[21] - 
       2*t[23] - 2*t[30] + 4*t[35] - t[37] + 2*t[39] + 2*t[41] - 2*t[42] + 
       (3*t[43])/2 + 2*t[44] + 2*t[47] + (25*t[48])/4 - (23*t[49])/8 - 
       (19*t[50])/4 + (23*t[51])/16 + (19*t[52])/4 + (23*t[53])/8 + 
       (15*t[54])/2 + (15*t[60])/4 + (37*t[61])/4 + (5*t[62])/4 + 
       (111*t[63])/4 + (395*t[64])/8 - (33*t[66])/4 - 2*t[69] + t[72] + 
       2*t[75] + t[77]/2 + 2*t[79] + 6*t[80] - t[81] + t[82] - 9*t[83] + 
       (11*t[84])/2 - t[85] - 10*t[86] - 3*t[87] - (3*t[88])/2 + 
       (47*t[89])/8 - 4*t[99] - (43*t[100])/2) + HPL[{1}, 1 - w]^2*
      Qep[w, v, u]*(4*t[2] + 20*t[4] + (320*t[5])/9 + (368*t[6])/9 - 
       (196*t[7])/3 + (212*t[8])/9 - (580*t[9])/9 - (58*t[10])/3 + 
       (100*t[11])/9 - (190*t[12])/9 + (716*t[13])/27 + (325*t[14])/27 + 
       (488*t[15])/27 + (64*t[24])/9 + (64*t[31])/9 + (32*t[43])/9 - 
       (64*t[47])/3 + (80*t[48])/9 + (26*t[49])/9 - (176*t[50])/9 - 
       (13*t[51])/9 + (176*t[52])/9 - (26*t[53])/9 + (20*t[54])/3 - 
       (32*t[60])/3 + (488*t[61])/9 + (358*t[62])/9 + (70*t[63])/3 + 
       12*t[64] - (1204*t[65])/27 - (1196*t[66])/27 - (40*t[79])/3 - 
       (64*t[83])/9 - (32*t[84])/9 + (32*t[85])/9 - (584*t[86])/9 + 
       (160*t[87])/9 + (80*t[88])/9 - (16*t[89])/3 - (64*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, v, w]*((-32*t[1])/3 + 
       (32*t[3])/9 - (128*t[4])/9 - (16*t[5])/3 - 16*t[6] + (200*t[7])/9 + 
       (392*t[8])/9 + (80*t[9])/9 + (136*t[10])/9 - (16*t[11])/9 + 
       (16*t[12])/3 - (256*t[13])/27 - (124*t[14])/27 - (280*t[15])/27 - 
       (64*t[43])/9 - (16*t[46])/3 + (16*t[48])/3 + (128*t[49])/9 - 
       (16*t[50])/9 - (28*t[51])/9 + (16*t[52])/9 - (128*t[53])/9 + 
       (80*t[54])/9 - (32*t[59])/3 - (64*t[61])/3 - (344*t[62])/9 - 
       (88*t[63])/9 + (424*t[64])/9 - (32*t[65])/27 - (1264*t[66])/27 - 
       (32*t[74])/3 + 16*t[79] - (64*t[83])/9 + (32*t[84])/9 - (32*t[85])/9 + 
       (592*t[86])/9 - (32*t[87])/9 - (16*t[88])/9 - (32*t[89])/9 - 
       (64*t[100])/3) + HPL[{1}, 1 - w]^2*Qep[u, v, w]*
      (-4*t[2] - (32*t[3])/3 + (28*t[4])/3 + (80*t[5])/9 + (152*t[6])/9 - 
       4*t[7] - (148*t[8])/9 + (20*t[9])/9 + (14*t[10])/3 + (220*t[11])/9 - 
       (22*t[12])/9 + (116*t[13])/27 + (685*t[14])/27 + (164*t[15])/27 - 
       (32*t[24])/9 - (32*t[31])/9 - (16*t[43])/9 - (32*t[47])/3 + 
       (8*t[48])/9 + (26*t[49])/9 + (40*t[50])/9 - (13*t[51])/9 - 
       (40*t[52])/9 - (26*t[53])/9 - (20*t[54])/3 + (16*t[60])/3 + 
       (440*t[61])/9 + (46*t[62])/9 + (62*t[63])/3 - 36*t[64] - 
       (244*t[65])/27 + (244*t[66])/27 - 8*t[79] + (32*t[83])/9 + 
       (16*t[84])/9 - (16*t[85])/9 - (248*t[86])/9 + (16*t[87])/9 + 
       (8*t[88])/9 - (8*t[89])/3 - (64*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-31*t[1])/2 - (29*t[2])/4 + (41*t[3])/2 - (293*t[4])/16 + 
       (65*t[5])/4 - (375*t[6])/8 - (39*t[7])/4 - (313*t[8])/4 - 
       (13*t[9])/2 + (999*t[10])/32 + (37*t[11])/4 + (963*t[12])/32 + 
       (943*t[13])/48 - (6883*t[14])/192 - (713*t[15])/96 - t[25] - 
       (11*t[26])/2 + 4*t[27] - 8*t[28] - 4*t[29] + 7*t[30] - t[31] + 
       2*t[34] - 6*t[35] - 3*t[36] - (9*t[37])/2 + (9*t[38])/2 - 4*t[39] + 
       4*t[40] - t[41] + t[42] - t[43]/2 + 4*t[44] + (25*t[46])/4 - 
       (237*t[48])/8 - (315*t[49])/32 + (51*t[50])/8 + (659*t[51])/64 - 
       (131*t[52])/8 + (363*t[53])/32 - (141*t[54])/16 - 2*t[58] - t[59]/4 - 
       (499*t[60])/16 - (611*t[61])/16 - (1371*t[62])/32 + (507*t[63])/32 + 
       (1073*t[64])/32 - (1417*t[65])/48 - (1243*t[66])/48 - 2*t[67] - 
       10*t[69] + 9*t[70] - 7*t[71] - 3*t[72] + 9*t[74] - 21*t[75] + 
       23*t[76] + 2*t[77] - 44*t[78] + 33*t[79] + 9*t[80] - 2*t[81] + 
       (13*t[82])/2 + (75*t[83])/2 - (305*t[84])/16 + (131*t[85])/16 + 
       25*t[86] - (69*t[87])/16 - (69*t[88])/32 - (1033*t[89])/32 + 2*t[97] + 
       114*t[98] - 114*t[99] - 21*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*((9*t[1])/4 - (11*t[2])/4 - 
       (159*t[3])/16 - (143*t[4])/4 + (991*t[5])/32 - (515*t[6])/16 - 
       (137*t[7])/16 - (263*t[8])/16 - (1399*t[9])/32 + (989*t[10])/16 + 
       (293*t[11])/16 - (495*t[12])/32 + (10205*t[13])/288 - (441*t[14])/32 + 
       (6053*t[15])/192 - 2*t[26] + 4*t[27] - 8*t[28] - 4*t[29] + 7*t[30] - 
       4*t[32] + 4*t[33] + 2*t[34] - 6*t[35] - 9*t[37] - 8*t[39] + 8*t[40] - 
       t[41] + t[42] - (13*t[43])/8 + 4*t[44] + (31*t[45])/4 + (15*t[46])/2 - 
       (39*t[47])/2 - (77*t[48])/4 - (31*t[49])/4 + (3*t[50])/4 + 
       (7*t[51])/2 - (43*t[52])/4 + (31*t[53])/4 - (53*t[54])/4 - 2*t[58] - 
       (23*t[59])/4 - (47*t[60])/2 + (97*t[61])/2 - (33*t[62])/8 + 
       (241*t[63])/8 - (369*t[64])/8 + (731*t[65])/24 + (13*t[66])/24 - 
       2*t[67] - 10*t[69] + 9*t[70] - 7*t[71] + 12*t[74] - 3*t[75] + 
       14*t[76] + (9*t[77])/2 - 8*t[78] + 9*t[79] - (13*t[80])/2 + 3*t[81] + 
       (9*t[82])/4 + (33*t[83])/2 - 6*t[84] + 10*t[85] - (63*t[86])/2 + 
       10*t[87] + 5*t[88] - (45*t[89])/4 + 2*t[97] + 114*t[98] - 114*t[99] - 
       21*t[100]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      (12*t[99] - 21*t[100]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (30*t[2] - (3*t[3])/2 + 27*t[4] - (99*t[5])/4 - (15*t[6])/2 + 15*t[7] - 
       30*t[8] + (165*t[9])/4 + (39*t[10])/2 + 30*t[11] - (33*t[12])/4 + 
       (251*t[13])/12 + 30*t[14] + (187*t[15])/8 - 4*t[19] - 6*t[21] + 
       6*t[23] - 6*t[35] - 6*t[41] + 6*t[42] + 6*t[45] - 18*t[47] - 
       (51*t[48])/2 + (9*t[49])/2 + (39*t[50])/2 - (9*t[51])/4 - 
       (39*t[52])/2 - (9*t[53])/2 - (57*t[54])/2 + (39*t[60])/2 + 
       (63*t[61])/2 + (9*t[62])/4 - (93*t[63])/4 - (777*t[64])/4 - 20*t[65] - 
       (107*t[66])/2 + 6*t[69] - 6*t[75] - 9*t[79] - 12*t[80] + 3*t[81] - 
       9*t[82] + 33*t[83] - (3*t[84])/2 + 6*t[85] + 3*t[86] - 15*t[87] - 
       (15*t[88])/2 - (111*t[89])/4 + 12*t[99] - 21*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((5*t[1])/24 + (215*t[2])/48 + (11*t[3])/8 + (11*t[4])/12 - 
       (8*t[5])/3 + (185*t[6])/48 + (14*t[7])/3 + (101*t[8])/12 + 
       (413*t[9])/48 - (20*t[10])/3 - (23*t[11])/48 + (85*t[12])/48 - 
       (5273*t[13])/864 + (533*t[14])/96 - (61*t[15])/288 - t[19]/2 + 
       t[21]/2 - t[23]/2 + t[26]/6 - t[27]/3 + (7*t[28])/6 + t[29]/3 - 
       (5*t[30])/6 - (5*t[31])/4 + t[32]/3 - t[33]/3 - t[34]/6 - 
       (19*t[35])/4 + (5*t[37])/4 + (7*t[39])/6 - (2*t[40])/3 + t[41]/12 - 
       t[42]/12 - t[43]/12 - t[44]/3 - t[45]/3 - t[46]/8 - t[47]/2 + 
       (115*t[48])/24 - (13*t[49])/24 - (15*t[50])/8 + (23*t[51])/96 + 
       (65*t[52])/24 + (13*t[53])/24 + (35*t[54])/12 + t[58]/6 + t[59]/4 + 
       (211*t[60])/48 + (143*t[61])/48 + (755*t[62])/96 + (197*t[63])/96 - 
       (827*t[64])/32 + (1427*t[65])/144 - (259*t[66])/72 - t[67]/8 - 
       t[69]/2 - t[72]/2 - t[73] + (5*t[74])/4 + 2*t[75] - (7*t[76])/6 + 
       (13*t[78])/6 + t[79]/4 - (19*t[80])/12 + (3*t[81])/4 - t[82]/2 - 
       (37*t[83])/4 + (15*t[84])/4 - (65*t[85])/24 + t[86] - (131*t[87])/24 - 
       (131*t[88])/48 - (51*t[89])/32 - t[97]/6 - 8*t[98] + 15*t[99] - 
       (167*t[100])/8) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(t[1] + (13*t[2])/6 - 3*t[3] - (303*t[4])/64 - 
       (1309*t[5])/288 + (203*t[6])/288 - (7*t[7])/16 + (925*t[8])/144 + 
       (2261*t[9])/288 + (4039*t[10])/384 - (433*t[11])/144 + 
       (5213*t[12])/1152 - (7823*t[13])/1728 + (72683*t[14])/6912 + 
       (431*t[15])/384 + t[18]/2 + (2*t[19])/3 + (2*t[21])/3 - t[23]/2 - 
       (10*t[24])/9 - (2*t[25])/3 - t[26]/24 + t[27]/6 + t[28]/6 + 
       (2*t[29])/3 - (31*t[30])/12 - (65*t[31])/18 + t[32]/12 + t[33]/6 + 
       (7*t[34])/12 - (17*t[35])/3 - (5*t[36])/6 - (13*t[37])/6 + 
       (5*t[38])/8 + (5*t[39])/12 + t[40]/12 + t[41]/24 - (7*t[42])/24 - 
       (29*t[43])/36 + t[44]/24 + t[45]/6 + (25*t[46])/24 - (13*t[47])/6 + 
       (23*t[48])/288 - (2953*t[49])/1152 + (175*t[50])/288 + 
       (2749*t[51])/2304 - (295*t[52])/288 + (3097*t[53])/1152 + 
       (393*t[54])/64 - t[58]/12 + (11*t[59])/48 + (917*t[60])/192 + 
       (1759*t[61])/576 - (8393*t[62])/1152 + (859*t[63])/384 - 
       (2113*t[64])/128 + (20041*t[65])/1728 + (3983*t[66])/1728 - t[69] + 
       t[72] - t[73]/3 + t[74]/4 - (4*t[75])/3 + (19*t[76])/12 + t[77]/12 - 
       5*t[78] + (37*t[79])/8 + (13*t[80])/3 + (23*t[81])/24 - (5*t[82])/4 + 
       (13*t[83])/9 + (2981*t[84])/576 + (637*t[85])/576 + (265*t[86])/72 - 
       (4243*t[87])/576 - (3091*t[88])/1152 - (1025*t[89])/384 + t[97]/12 + 
       (11*t[98])/2 - (37*t[99])/6 - (247*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      (-t[1]/2 + (5*t[2])/6 - (17*t[3])/3 + (341*t[4])/24 - (35*t[5])/24 + 
       (103*t[6])/8 + (21*t[7])/4 + (245*t[8])/12 + (83*t[9])/24 + 
       (135*t[10])/16 + (359*t[11])/24 - (27*t[12])/16 + (85*t[13])/18 + 
       (6415*t[14])/288 + (145*t[15])/72 + (5*t[25])/3 + (2*t[26])/3 - 
       (5*t[27])/3 + (4*t[28])/3 + (2*t[29])/3 - (2*t[30])/3 - (10*t[31])/3 - 
       t[34]/3 - 4*t[35] - t[36] - 2*t[37] - 2*t[38] + (2*t[39])/3 - 
       (2*t[40])/3 + t[41]/6 - t[42]/6 + t[43]/3 - (2*t[44])/3 - t[46]/6 + 
       (73*t[48])/8 + (105*t[49])/16 - (11*t[50])/8 - (407*t[51])/96 + 
       (73*t[52])/24 - (113*t[53])/16 - 2*t[54] + t[58]/3 + (17*t[59])/6 + 
       (181*t[60])/24 + (343*t[61])/8 - (277*t[62])/48 + (39*t[63])/16 - 
       (719*t[64])/48 + t[65]/72 - (401*t[66])/24 + 4*t[75] - (13*t[76])/3 - 
       t[77]/3 + (28*t[78])/3 - 4*t[79] + 2*t[80] + t[81]/3 - (7*t[82])/3 - 
       (9*t[83])/2 + (161*t[84])/24 - (83*t[85])/24 - (20*t[86])/3 + 
       (11*t[87])/8 + (11*t[88])/16 + (115*t[89])/48 - t[97]/3 - 16*t[98] + 
       16*t[99] - 20*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - u]*((23*t[1])/36 + (35*t[2])/18 + (139*t[3])/72 - 
       (134*t[4])/9 + (233*t[5])/24 - (23699*t[6])/864 + (601*t[7])/72 - 
       (87*t[8])/8 - (565*t[9])/144 + (55*t[10])/2 + (1547*t[11])/288 + 
       (65*t[12])/48 - (1949*t[13])/108 + (617*t[14])/48 + (181*t[15])/18 - 
       (26*t[18])/27 - 2*t[20] - (4*t[21])/3 + (8*t[22])/9 + (4*t[23])/3 - 
       (4*t[24])/3 - (4*t[25])/3 - (14*t[26])/9 + (2*t[28])/3 + (2*t[30])/3 + 
       (17*t[31])/12 - (14*t[32])/3 + (28*t[33])/9 + (2*t[34])/3 - 
       (2*t[35])/3 - t[37]/3 + (4*t[38])/3 - (28*t[39])/9 + (56*t[40])/9 + 
       t[41]/9 + (125*t[42])/54 - (27*t[43])/8 + 2*t[44] + (281*t[45])/36 + 
       (139*t[46])/24 - (173*t[47])/18 - (2441*t[48])/288 + (251*t[49])/36 - 
       (1417*t[50])/288 - (1519*t[51])/288 - (823*t[52])/288 - 
       (251*t[53])/36 + (1433*t[54])/288 - (14*t[58])/9 - (55*t[59])/108 + 
       (2945*t[60])/144 + (4555*t[61])/144 - (382*t[62])/9 + 
       (2791*t[63])/72 - (14689*t[64])/288 + (1309*t[65])/432 - 
       (6589*t[66])/432 + (4*t[69])/3 + t[70] - t[71] - (2*t[73])/3 + 
       (43*t[74])/12 + (4*t[75])/3 + (86*t[76])/9 + (3*t[77])/2 - 
       (20*t[78])/9 + (2*t[79])/3 - (146*t[80])/9 + (31*t[81])/8 + 
       (233*t[82])/72 + (29*t[83])/6 - 3*t[84] + (1465*t[85])/144 + 
       (1685*t[86])/36 - (3833*t[87])/144 - (3833*t[88])/288 - 
       (6643*t[89])/288 + (2*t[97])/9 + (136*t[98])/3 - 46*t[99] - 
       (119*t[100])/6) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u]*((-7*t[1])/12 - (265*t[2])/96 - (1363*t[3])/192 + 
       (147*t[4])/16 - (3083*t[5])/384 - (283*t[6])/96 + (3671*t[7])/192 - 
       (2207*t[8])/64 + (3011*t[9])/128 + (3883*t[10])/192 + (161*t[11])/16 + 
       (1511*t[12])/384 - (19337*t[13])/3456 + (41569*t[14])/1152 + 
       (11075*t[15])/2304 - t[18]/3 + t[19]/4 - (13*t[21])/4 - t[22]/6 + 
       (35*t[23])/12 + t[24]/6 - (5*t[26])/8 + t[27]/12 - (5*t[28])/12 - 
       t[29]/12 + (11*t[30])/24 + (23*t[31])/12 - t[32]/12 + t[33]/12 + 
       (127*t[34])/24 - t[35]/4 - (7*t[38])/6 - (5*t[39])/12 + 
       (13*t[40])/12 + (5*t[41])/48 + t[42]/48 - (73*t[43])/48 + 
       (19*t[44])/12 + (33*t[45])/32 + 2*t[46] - (475*t[47])/48 - 
       (2575*t[48])/192 + (397*t[49])/48 + (339*t[50])/64 - (509*t[51])/96 - 
       (1201*t[52])/192 - (397*t[53])/48 - (617*t[54])/192 - (5*t[58])/8 + 
       (95*t[59])/12 + (3443*t[60])/96 + (1155*t[61])/32 - (2641*t[62])/192 + 
       (13891*t[63])/192 - (20885*t[64])/192 - (9911*t[65])/288 - 
       (9035*t[66])/288 + (13*t[69])/2 + t[72]/4 + (9*t[73])/8 + 
       (7*t[74])/2 - (3*t[75])/8 + (227*t[76])/24 + (17*t[77])/24 - 
       (16*t[78])/3 - (19*t[79])/4 - (661*t[80])/24 + (97*t[81])/16 - 
       (103*t[82])/48 + (49*t[83])/24 + (21*t[84])/16 + (1993*t[85])/96 - 
       (71*t[86])/12 - (1599*t[87])/32 - (1599*t[88])/64 - (1643*t[89])/64 + 
       (29*t[97])/24 + (259*t[98])/4 - (259*t[99])/4 - (155*t[100])/8) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      (-t[1]/6 - (203*t[2])/144 + (61*t[3])/36 - (1823*t[4])/576 + 
       (247*t[5])/288 + (9*t[6])/4 - (5*t[7])/4 - (137*t[8])/72 + 
       (1469*t[9])/288 + (527*t[10])/384 - (775*t[11])/288 + 
       (765*t[12])/128 - (10831*t[13])/1728 + (26843*t[14])/6912 - 
       (5537*t[15])/3456 - t[25]/9 + (97*t[26])/72 - (13*t[27])/18 - 
       (5*t[28])/9 + (2*t[29])/9 + (55*t[30])/36 - (25*t[31])/9 + 
       (5*t[34])/36 - 4*t[35] - t[36]/3 - (5*t[37])/6 - (11*t[38])/8 - 
       (5*t[39])/18 + (5*t[40])/18 - (5*t[41])/72 + (5*t[42])/72 - 
       (5*t[43])/9 + (5*t[44])/18 - t[45]/2 + (83*t[46])/72 + t[47] - 
       (3*t[48])/16 - (403*t[49])/384 - (39*t[50])/16 + (53*t[51])/2304 + 
       (251*t[52])/144 + (257*t[53])/128 + (1417*t[54])/192 - (5*t[58])/36 + 
       (229*t[59])/144 + (2627*t[60])/576 + (1033*t[61])/192 - 
       (2897*t[62])/1152 + (4067*t[63])/384 - (6181*t[64])/1152 - 
       (8911*t[65])/1728 + (211*t[66])/192 + t[69] - t[72]/6 - 
       (23*t[74])/12 - (10*t[75])/3 + (95*t[76])/36 + (5*t[77])/36 - 
       (121*t[78])/18 + (83*t[79])/12 + (2*t[80])/3 + (23*t[81])/72 - 
       (16*t[82])/9 - (59*t[83])/12 - (1199*t[84])/576 - (1951*t[85])/576 - 
       (209*t[86])/36 - (2053*t[87])/192 - (2437*t[88])/384 - 
       (5647*t[89])/1152 + t[95] + (5*t[97])/36 + (85*t[98])/6 - 
       (73*t[99])/6 - (115*t[100])/6) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-t[1]/3 - t[2]/2 + (71*t[3])/8 - 
       (295*t[4])/8 - (9*t[5])/2 - (41*t[6])/4 + (121*t[7])/24 + 
       (7*t[8])/24 - (65*t[9])/24 - (913*t[10])/48 - (28*t[11])/3 + 
       (121*t[12])/16 - (77*t[13])/16 - (6365*t[14])/288 - (1261*t[15])/144 + 
       t[20] + t[21] - t[23] - (11*t[25])/6 + (13*t[26])/6 - (4*t[27])/3 - 
       (29*t[28])/6 + (10*t[29])/3 - (4*t[30])/3 - t[31]/2 + (23*t[35])/2 + 
       (14*t[36])/3 - (5*t[37])/3 - t[38]/3 - (25*t[39])/6 + (7*t[40])/2 + 
       t[41]/2 - t[42]/2 + (2*t[44])/3 - (11*t[45])/2 + t[46]/4 + 11*t[47] - 
       (25*t[48])/6 - (101*t[49])/48 + (5*t[50])/12 + (55*t[51])/32 + 
       (7*t[52])/12 + (137*t[53])/48 + (101*t[54])/24 - (2*t[59])/3 - 
       (1375*t[60])/24 - (35*t[61])/3 - (203*t[62])/8 + (83*t[63])/6 + 
       (2861*t[64])/24 + (1897*t[65])/72 + (2161*t[66])/72 + 2*t[69] + 
       (2*t[72])/3 - (8*t[74])/3 - 4*t[75] + t[76] - (7*t[77])/2 - 
       (5*t[78])/2 + 2*t[79] + 11*t[80] - (19*t[81])/12 + (35*t[82])/12 + 
       (91*t[83])/6 - (25*t[84])/2 - (25*t[85])/24 + 68*t[86] + 
       (985*t[87])/24 + (937*t[88])/48 - (31*t[89])/8 + (7*t[95])/3 + 
       12*t[98] - 17*t[99] - 19*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*((37*t[1])/8 - (41*t[2])/24 - 
       (161*t[3])/96 + (287*t[4])/48 - (2185*t[5])/96 + (1727*t[6])/64 + 
       (563*t[7])/32 + (1013*t[8])/96 + (2227*t[9])/96 + (231*t[10])/8 + 
       (2501*t[11])/192 + (35*t[12])/2 + (1889*t[13])/576 + 
       (19249*t[14])/576 - (373*t[15])/36 - t[16]/4 - (3*t[17])/4 + 3*t[18] - 
       t[19]/2 - 4*t[20] + (5*t[21])/2 + t[22] - (5*t[23])/2 + (3*t[24])/2 + 
       t[25]/3 + (49*t[26])/12 + (8*t[27])/3 + (13*t[28])/6 - (61*t[29])/24 - 
       (55*t[30])/12 + (11*t[31])/6 + t[32]/2 - (7*t[33])/2 + (43*t[34])/12 - 
       (5*t[35])/2 - 4*t[36] - t[37]/2 + t[38]/4 + (16*t[39])/3 - 
       (43*t[40])/12 + (29*t[41])/24 + (7*t[42])/24 - (623*t[43])/96 - 
       (67*t[44])/48 - (77*t[45])/16 - (95*t[46])/24 + (35*t[47])/8 - 
       (373*t[48])/64 + (175*t[49])/32 - (241*t[50])/64 - (53*t[51])/12 + 
       (835*t[52])/192 - (183*t[53])/32 - (111*t[54])/64 + t[56]/4 - 
       t[57]/2 + (5*t[58])/3 + (5*t[59])/12 + (1333*t[60])/48 + 
       (49*t[61])/4 - (941*t[62])/48 - (325*t[63])/16 - (1189*t[64])/48 + 
       (1021*t[65])/36 - (1579*t[66])/48 + t[67]/4 + (3*t[68])/4 - t[69] - 
       3*t[70] + 3*t[71] + t[72] + 5*t[73] + (13*t[74])/2 - (7*t[75])/2 - 
       (31*t[76])/6 - (2*t[77])/3 - (121*t[78])/12 + (9*t[79])/4 - 4*t[80] + 
       (7*t[81])/6 - (11*t[82])/12 - t[83] + (245*t[84])/48 + 
       (679*t[85])/48 + (37*t[86])/6 - (125*t[87])/8 - (125*t[88])/16 + 
       (991*t[89])/96 - t[91]/24 + t[92]/4 - t[93]/2 - t[94]/4 + t[97]/12 + 
       19*t[98] - 24*t[99] - (37*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*Omega2[w, u, v]*((21*t[2])/8 - (11*t[3])/8 + 2*t[4] + 
       (7*t[5])/2 + (31*t[6])/4 - (123*t[7])/8 + (89*t[8])/8 + (7*t[9])/8 - 
       (37*t[10])/8 - (5*t[11])/8 - (7*t[12])/8 - (313*t[13])/144 + 
       (65*t[14])/8 + (67*t[15])/24 + t[24] + (9*t[28])/2 - 2*t[30] - 
       (9*t[31])/2 - 4*t[35] + (3*t[37])/2 + 2*t[39] - t[41]/4 + t[42]/4 - 
       t[43]/4 - (7*t[44])/2 - t[45] - t[46] + t[47]/2 + (45*t[48])/8 - 
       (25*t[50])/8 - t[51]/4 + (25*t[52])/8 + (17*t[54])/8 + t[59] + 
       (15*t[60])/4 + (29*t[61])/4 + (5*t[62])/8 + (185*t[63])/8 - t[64]/4 + 
       (85*t[65])/12 - t[66]/3 - 2*t[72] - t[74] + (5*t[75])/2 + t[78] - 
       (7*t[79])/4 + t[80]/2 + t[81] - (5*t[82])/2 - (9*t[83])/4 + 
       (5*t[84])/2 - (7*t[85])/2 - (31*t[86])/4 + (3*t[87])/2 + (3*t[88])/4 + 
       (11*t[89])/8 - 18*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-13*t[1])/4 - (11*t[2])/4 - (207*t[3])/16 - 
       (41*t[4])/4 + (1015*t[5])/32 - (335*t[6])/16 + (7*t[7])/16 - 
       (119*t[8])/16 - (847*t[9])/32 + (785*t[10])/16 + (329*t[11])/16 - 
       (335*t[12])/32 + (5741*t[13])/288 + (603*t[14])/32 + 
       (4829*t[15])/192 - 2*t[26] + 4*t[27] - 2*t[28] - 4*t[29] + 4*t[30] - 
       4*t[32] + 4*t[33] + 2*t[34] - 6*t[35] - 5*t[39] + 8*t[40] - t[41] + 
       t[42] + (35*t[43])/8 + t[44] + (19*t[45])/4 + (3*t[46])/2 - 
       (27*t[47])/2 - (37*t[48])/2 + 5*t[49] - (9*t[50])/2 - (11*t[51])/8 - 
       (11*t[52])/2 - 5*t[53] - (13*t[54])/2 - 2*t[58] + (3*t[59])/4 + 
       20*t[60] + (83*t[61])/2 - (215*t[62])/8 + (487*t[63])/8 - 
       (291*t[64])/8 - (325*t[65])/24 - (419*t[66])/24 + 14*t[76] + 
       (9*t[77])/2 - 8*t[78] + (5*t[80])/2 + 6*t[81] - (27*t[82])/4 - 
       3*t[84] + 13*t[85] - (9*t[86])/2 - 29*t[87] - (29*t[88])/2 - 
       (33*t[89])/2 + 2*t[97] + 114*t[98] - 120*t[99] - 18*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((3*t[1])/2 - (141*t[2])/4 + 16*t[3] + (323*t[4])/16 - (65*t[5])/2 - 
       (17*t[6])/2 + (353*t[7])/4 + (3*t[8])/2 + (117*t[9])/2 - 
       (2057*t[10])/32 - (17*t[11])/8 + (635*t[12])/32 - (1099*t[13])/48 - 
       (5659*t[14])/192 - (2905*t[15])/96 - (3*t[17])/2 - 5*t[18] - 2*t[19] + 
       13*t[21] - 14*t[23] - 4*t[25] - (5*t[26])/2 + t[27] - 8*t[28] - 
       t[29] + 7*t[30] + 20*t[31] + 2*t[34] + 10*t[35] - 3*t[36] + t[37] + 
       (9*t[38])/2 - 4*t[39] + 4*t[40] + (15*t[41])/2 - (15*t[42])/2 + 
       (5*t[43])/2 + t[44] - 37*t[45] + (13*t[46])/4 + 74*t[47] - 
       (155*t[48])/4 - (203*t[49])/32 - (81*t[50])/4 + (307*t[51])/64 + 
       (41*t[52])/4 + (251*t[53])/32 + (221*t[54])/16 - 2*t[58] - 
       (5*t[59])/4 + (697*t[60])/16 - (1383*t[61])/16 - (2675*t[62])/32 + 
       (131*t[63])/32 + (4197*t[64])/32 - (187*t[65])/16 + (797*t[66])/48 + 
       3*t[69] - 12*t[70] + 12*t[71] - 3*t[72] - 6*t[74] - 18*t[75] + 
       23*t[76] + 2*t[77] - 47*t[78] + 21*t[80] + 5*t[81] - (7*t[82])/2 + 
       (23*t[83])/2 - (253*t[84])/16 + (655*t[85])/16 + 97*t[86] - 
       (1049*t[87])/16 - (1049*t[88])/32 - (37*t[89])/32 + 2*t[97] + 
       114*t[98] - 120*t[99] - 18*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]^2*(-t[1]/4 + (7*t[2])/6 - (71*t[3])/24 + 
       (359*t[4])/48 - (305*t[5])/48 + (117*t[6])/16 + (17*t[7])/8 + 
       (227*t[8])/24 + (323*t[9])/48 - (51*t[10])/32 + (497*t[11])/48 - 
       (109*t[12])/32 + (185*t[13])/48 + (6985*t[14])/576 - (197*t[15])/144 + 
       t[25]/3 + t[26]/3 - (5*t[27])/6 + t[28]/6 + t[29]/3 - t[30]/3 - 
       t[31]/6 - t[34]/6 + (5*t[35])/2 + t[36]/2 - t[38]/2 - t[39]/6 + 
       t[40]/6 + t[41]/12 - t[42]/12 + t[43]/6 - t[44]/3 - t[45]/2 - 
       t[46]/3 + t[47] + (43*t[48])/16 + (99*t[49])/32 - (21*t[50])/16 - 
       (449*t[51])/192 + (103*t[52])/48 - (107*t[53])/32 - (9*t[54])/4 + 
       t[58]/6 + t[59]/6 + (355*t[60])/48 + (217*t[61])/16 - (781*t[62])/96 + 
       (87*t[63])/32 - (929*t[64])/96 - (161*t[65])/144 - (731*t[66])/48 + 
       t[74]/2 + (3*t[75])/2 - (13*t[76])/6 - (2*t[77])/3 + (25*t[78])/6 - 
       (13*t[79])/2 + 2*t[80] - (7*t[81])/12 - (29*t[82])/12 - (9*t[83])/4 + 
       (101*t[84])/48 + (67*t[85])/48 + (31*t[86])/6 - (7*t[87])/16 - 
       (7*t[88])/32 + (517*t[89])/96 - t[97]/6 - 8*t[98] + 15*t[99] - 
       (143*t[100])/8) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-53*t[1])/9 - (20*t[2])/9 + (17*t[3])/2 - 
       (631*t[4])/18 + (65*t[5])/9 - (925*t[6])/72 - (25*t[7])/12 - 
       (719*t[8])/36 - (27*t[9])/4 - (931*t[10])/72 - (859*t[11])/72 + 
       (1001*t[12])/72 - (64*t[13])/9 - (235*t[14])/18 - (43*t[15])/216 - 
       (2*t[19])/9 + (11*t[26])/3 - 2*t[28] - (4*t[31])/3 + (8*t[34])/9 + 
       (8*t[35])/3 + (14*t[36])/3 + (4*t[37])/3 - (41*t[38])/9 - 2*t[39] + 
       (34*t[40])/9 - (4*t[41])/9 + (4*t[42])/9 - (4*t[45])/3 - 
       (73*t[46])/36 + (8*t[47])/3 - (449*t[48])/72 - (833*t[49])/72 - 
       (25*t[50])/72 + (989*t[51])/144 - (295*t[52])/72 + (859*t[53])/72 + 
       (11*t[54])/8 - (8*t[58])/9 + (53*t[59])/18 - (1507*t[60])/72 + 
       (229*t[61])/24 - (109*t[62])/24 + (3577*t[63])/72 + (373*t[64])/16 + 
       (1001*t[65])/36 + (1879*t[66])/72 + 2*t[69] + 4*t[72] - t[73]/3 - 
       t[74] - 5*t[75] + (58*t[76])/9 - t[77] - (20*t[78])/3 + 2*t[79] + 
       6*t[80] - (40*t[81])/9 + (32*t[82])/9 + (37*t[83])/6 - 
       (515*t[84])/72 - (3*t[85])/8 - (2*t[86])/3 + (71*t[87])/8 - 
       (121*t[88])/144 - (1177*t[89])/144 + (8*t[97])/9 + (136*t[98])/3 - 
       46*t[99] - (52*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*(2*t[1] - (27*t[2])/4 - 
       2*t[3] - 17*t[4] + (149*t[5])/8 - (20*t[6])/3 + (31*t[7])/2 + 
       (27*t[8])/4 - (185*t[9])/24 - (145*t[10])/12 + (29*t[11])/12 + 
       (111*t[12])/8 - (401*t[13])/72 + (35*t[14])/12 + (53*t[15])/144 + 
       t[17]/2 + (10*t[19])/3 - 2*t[21] + 2*t[23] - (4*t[24])/3 - 
       (2*t[27])/3 + t[28]/3 + (2*t[29])/3 + (4*t[30])/3 - (22*t[31])/3 + 
       4*t[35] + (2*t[39])/3 - (11*t[43])/6 + t[44]/3 - t[45] - 3*t[46] + 
       4*t[47] + (33*t[48])/4 + (29*t[49])/12 + (41*t[50])/12 + 
       (11*t[51])/8 - (41*t[52])/12 - (29*t[53])/12 + (49*t[54])/12 + 
       2*t[59] - (38*t[60])/3 + (34*t[61])/3 - (259*t[62])/24 + 
       (77*t[63])/8 + (203*t[64])/6 - (125*t[65])/36 + (575*t[66])/36 + 
       2*t[69] - (2*t[72])/3 - 2*t[74] + 3*t[75] + (5*t[79])/2 + 2*t[80] - 
       (8*t[81])/3 + (10*t[82])/3 - (13*t[83])/2 + (11*t[84])/12 - 
       (145*t[85])/12 + (71*t[86])/6 + (101*t[87])/12 + (101*t[88])/24 - 
       (17*t[89])/12 - 2*t[99] - 17*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*(2*t[99] - 17*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      (t[1]/2 + (37*t[2])/4 - t[3]/4 - (15*t[4])/2 + 8*t[5] + (29*t[6])/8 + 
       7*t[7] + (13*t[8])/2 - (3*t[9])/4 - (31*t[10])/4 + (111*t[11])/8 - 
       (5*t[12])/4 + (59*t[13])/8 + (119*t[14])/12 + (32*t[15])/3 + t[19] + 
       t[21] - t[23] + t[28] - t[30] - 4*t[35] - 3*t[37] + t[39] + t[43] + 
       2*t[44] + 2*t[46] - 3*t[47] - (5*t[48])/8 - (9*t[49])/4 + 
       (23*t[50])/8 + (3*t[51])/8 - (23*t[52])/8 + (9*t[53])/4 - 
       (3*t[54])/8 - (5*t[60])/4 + (81*t[61])/4 + (5*t[62])/2 - 
       (29*t[63])/2 - (311*t[64])/8 + (5*t[65])/4 - (35*t[66])/4 - t[69] + 
       t[72] + 2*t[74] - t[75] - 3*t[79] + 9*t[80] + t[81]/2 + t[82]/2 - 
       (3*t[83])/2 + (3*t[84])/2 - (9*t[85])/4 - 3*t[86] - (3*t[87])/4 - 
       (3*t[88])/8 - (81*t[89])/8 + 2*t[99] - 17*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      (2*t[1] + (5*t[2])/3 - (16*t[3])/3 + (73*t[4])/24 - (61*t[5])/6 + 
       (59*t[6])/4 + (3*t[7])/4 + (283*t[8])/12 + (59*t[9])/12 + 
       (87*t[10])/16 + (79*t[11])/6 - (93*t[12])/16 - (16*t[13])/9 + 
       (5411*t[14])/288 - (341*t[15])/144 - (2*t[25])/3 + (7*t[26])/3 - 
       (4*t[27])/3 + (2*t[28])/3 + (4*t[29])/3 - (4*t[30])/3 - (20*t[31])/3 - 
       (2*t[34])/3 - 2*t[35] + 2*t[36] - 3*t[37] - t[38] - (2*t[39])/3 + 
       (2*t[40])/3 + t[41]/3 - t[42]/3 - t[43]/3 - (4*t[44])/3 - 2*t[45] - 
       (4*t[46])/3 + 4*t[47] + (37*t[48])/4 + (89*t[49])/16 + (3*t[50])/4 - 
       (451*t[51])/96 + (31*t[52])/12 - (81*t[53])/16 - (13*t[54])/8 + 
       (2*t[58])/3 + (7*t[59])/6 + (41*t[60])/24 + (195*t[61])/8 - 
       (1205*t[62])/48 - (41*t[63])/16 + (1241*t[64])/48 + (251*t[65])/72 - 
       (119*t[66])/8 + 2*t[72] - 2*t[74] + 3*t[75] - (20*t[76])/3 - 
       (8*t[77])/3 + (26*t[78])/3 - 4*t[79] + 3*t[80] + t[81]/6 - 
       (31*t[82])/6 - 3*t[83] + (121*t[84])/24 - (109*t[85])/24 + 
       (44*t[86])/3 + (81*t[87])/8 + (81*t[88])/16 + (359*t[89])/48 - 
       (2*t[97])/3 - 32*t[98] + 32*t[99] - 17*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2*
      ((-97*t[1])/144 + (197*t[2])/72 - (351*t[3])/64 - (919*t[4])/72 - 
       (3065*t[5])/1152 + (1729*t[6])/576 + (7039*t[7])/576 - 
       (2039*t[8])/576 + (11405*t[9])/1152 + (6743*t[10])/576 - 
       (9397*t[11])/576 + (3397*t[12])/1152 - (112609*t[13])/10368 + 
       (17149*t[14])/1152 + (59141*t[15])/6912 + t[19]/2 - t[21]/2 + 
       2*t[22] + t[23]/2 - (11*t[26])/36 + (11*t[27])/18 - (11*t[28])/9 - 
       (11*t[29])/18 + (37*t[30])/36 + (5*t[31])/3 + (25*t[32])/18 - 
       (25*t[33])/18 + (299*t[34])/36 + (8*t[35])/3 - t[37]/3 - 2*t[38] + 
       (7*t[39])/9 - (77*t[40])/18 - (65*t[41])/72 + (65*t[42])/72 + 
       (449*t[43])/288 + (28*t[44])/9 - (263*t[45])/144 + (49*t[46])/24 - 
       (215*t[47])/24 - (1681*t[48])/288 + (337*t[49])/288 + (111*t[50])/32 + 
       (197*t[51])/576 + (289*t[52])/288 - (337*t[53])/288 + 
       (1271*t[54])/288 - (11*t[58])/36 + t[59]/48 + (259*t[60])/72 + 
       (275*t[61])/72 + (1997*t[62])/144 + (2179*t[63])/72 - (719*t[64])/12 - 
       (5749*t[65])/864 + (13429*t[66])/864 + (2*t[69])/3 - (5*t[73])/6 + 
       t[74] - (7*t[75])/6 + (329*t[76])/36 + (13*t[77])/8 - (47*t[78])/9 - 
       3*t[79] + (337*t[80])/36 + (7*t[81])/2 - (47*t[82])/24 + 
       (29*t[83])/2 - (17*t[84])/6 + (401*t[85])/72 - (39*t[86])/4 - 
       (763*t[87])/72 - (763*t[88])/144 - (1033*t[89])/48 + (47*t[97])/36 + 
       (247*t[98])/6 - (241*t[99])/6 - (391*t[100])/24) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      ((-7*t[3])/3 - (65*t[4])/12 - (11*t[5])/12 + (9*t[6])/2 + 
       (47*t[7])/12 + (15*t[8])/4 + (53*t[9])/6 + (73*t[10])/24 + 
       (31*t[11])/6 - (13*t[12])/24 - (487*t[13])/72 + (1777*t[14])/144 + 
       (179*t[15])/72 - (4*t[27])/3 + (8*t[28])/3 + (4*t[29])/3 - 
       (4*t[30])/3 - 3*t[31] - 4*t[35] + 2*t[37] + (4*t[39])/3 + 
       (5*t[43])/6 - t[44]/3 + t[45] + t[46] - 3*t[47] + (29*t[48])/6 + 
       (17*t[49])/24 - (7*t[50])/3 - (11*t[51])/16 + (7*t[52])/3 - 
       (17*t[53])/24 + (31*t[54])/12 + t[59] + (55*t[60])/6 + 4*t[61] - 
       (41*t[62])/24 + (145*t[63])/24 - (63*t[64])/4 + (299*t[65])/18 + 
       (11*t[66])/9 - (4*t[72])/3 + t[74] + 5*t[75] + 3*t[78] - (5*t[79])/2 + 
       (25*t[81])/6 - (29*t[82])/6 - (23*t[83])/2 + (59*t[84])/12 - 
       (5*t[85])/2 - (11*t[86])/6 - (29*t[87])/3 - (29*t[88])/6 + t[89] - 
       16*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*(-t[3]/4 + (277*t[4])/16 + (41*t[5])/8 + 
       (25*t[6])/8 + t[7] + (21*t[8])/2 - (13*t[9])/24 - (617*t[10])/96 + 
       (65*t[11])/4 + (863*t[12])/96 + (1061*t[13])/144 + (599*t[14])/64 + 
       (257*t[15])/288 + t[25] - t[26] + t[27] - 2*t[29] - t[36] + 
       (3*t[46])/4 + (17*t[48])/8 + (253*t[49])/96 - (23*t[50])/8 + 
       (169*t[51])/192 + (23*t[52])/8 - (205*t[53])/96 + (63*t[54])/16 - 
       t[59]/6 + (1405*t[60])/48 - (145*t[61])/16 + (571*t[62])/96 - 
       (825*t[63])/32 - (921*t[64])/32 - (557*t[65])/48 - (1175*t[66])/48 - 
       t[69]/2 - t[72]/2 + 6*t[73] + 3*t[75] - t[76]/6 + (13*t[78])/3 + 
       t[80] + t[81]/2 + 3*t[82] - (61*t[83])/4 + (109*t[84])/48 + 
       (27*t[85])/16 - 3*t[86] - (793*t[87])/48 - (665*t[88])/96 - 
       (781*t[89])/96 + 4*t[99] - 16*t[100]) + HPL[{0, 0, 1}, 1 - u]*
      Omega2[w, u, v]*((33*t[2])/4 - (15*t[3])/4 + t[4] - (75*t[5])/4 - 
       (13*t[6])/2 + (169*t[7])/8 + (87*t[8])/8 + (119*t[9])/8 - 
       (51*t[10])/8 + (203*t[11])/8 + (9*t[12])/4 + (2227*t[13])/144 + 
       (209*t[14])/24 + (251*t[15])/48 - 2*t[19] + 2*t[21] - 2*t[23] - 
       3*t[28] + 2*t[30] + 4*t[31] - t[37] - 2*t[39] - t[41]/2 + t[42]/2 - 
       (7*t[43])/8 + 3*t[44] + (3*t[45])/4 + (3*t[46])/2 + (3*t[47])/2 - 
       (61*t[48])/8 + (3*t[49])/4 + (19*t[50])/8 - t[51]/2 - (19*t[52])/8 - 
       (3*t[53])/4 - (47*t[54])/8 - 2*t[59] + (15*t[60])/2 + 31*t[61] - 
       48*t[62] - 23*t[63] - (51*t[64])/2 + (101*t[65])/6 - (337*t[66])/6 - 
       4*t[69] - 2*t[75] - 8*t[79] + 10*t[80] + t[81] - 5*t[82] + 12*t[83] - 
       t[84] + (17*t[85])/2 + 41*t[86] - (5*t[87])/2 - (5*t[88])/4 + 
       (13*t[89])/4 + 8*t[99] - 16*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      Omega2[w, u, v]*(t[1] - (11*t[3])/4 - (33*t[4])/4 - (77*t[5])/8 - 
       (25*t[6])/8 - (15*t[7])/4 - (41*t[8])/4 + (53*t[9])/8 + (15*t[10])/2 - 
       (51*t[11])/8 + (35*t[12])/8 - (277*t[13])/72 + (23*t[14])/16 + 
       (73*t[15])/48 - 2*t[25] + 2*t[27] + t[28] - t[29] + t[31] - 2*t[35] + 
       2*t[38] + t[39] - t[40] + 2*t[45] - (5*t[46])/2 - 4*t[47] - 
       (35*t[48])/8 - (3*t[49])/2 + t[50]/8 + (69*t[51])/16 - t[52]/8 + 
       3*t[53] + (37*t[54])/8 - t[59] - (47*t[60])/4 - 8*t[61] + 
       (63*t[62])/8 - (43*t[63])/8 - 29*t[64] - (53*t[65])/12 - 
       (181*t[66])/12 - 2*t[69] + 2*t[72] + t[74] - 3*t[75] + t[77] - 
       3*t[80] + t[81] - t[82] + 3*t[83] - 6*t[84] - (5*t[85])/2 - 6*t[86] + 
       t[87]/2 - (7*t[88])/4 - (53*t[89])/8 + 2*t[95] + 8*t[99] - 
       16*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-7*t[1])/2 + (103*t[2])/6 + (13*t[3])/6 + 
       (233*t[4])/8 - 33*t[5] + (155*t[6])/24 + (43*t[7])/6 + (181*t[8])/6 + 
       22*t[9] - (1561*t[10])/48 + (131*t[11])/24 + (109*t[12])/16 + 
       (1631*t[13])/72 - (5467*t[14])/288 + (259*t[15])/144 - (2*t[17])/3 - 
       8*t[19] + 2*t[21] - 2*t[23] + (11*t[24])/3 + (2*t[25])/3 + 
       (2*t[26])/3 - (2*t[27])/3 + (16*t[28])/3 + (2*t[29])/3 - (8*t[30])/3 + 
       (23*t[31])/3 - t[34]/3 + 4*t[35] - 2*t[36] - t[38] + (14*t[39])/3 - 
       (14*t[40])/3 - (11*t[41])/3 + (11*t[42])/3 - (13*t[43])/2 - 
       (2*t[44])/3 - (65*t[45])/6 + (13*t[46])/3 + 15*t[47] + 
       (167*t[48])/24 - (43*t[49])/48 - (121*t[50])/24 - (289*t[51])/96 + 
       (161*t[52])/24 - (53*t[53])/48 - (27*t[54])/4 + t[58]/3 + 2*t[59] + 
       (193*t[60])/24 + (461*t[61])/24 + (1081*t[62])/48 - (1035*t[63])/16 - 
       (4723*t[64])/48 + (3017*t[65])/72 - (3533*t[66])/72 + t[67]/6 + 
       t[69] + 3*t[70] - 3*t[71] + 15*t[74] + 4*t[75] - (13*t[76])/3 + 
       (11*t[77])/3 + (40*t[78])/3 - 20*t[79] + (14*t[80])/3 + (3*t[81])/2 - 
       (17*t[82])/2 - 6*t[83] + (169*t[84])/24 + (179*t[85])/24 + 
       (31*t[86])/3 - (89*t[87])/24 - (89*t[88])/48 + (1103*t[89])/48 - 
       (5*t[94])/3 - t[97]/3 - 28*t[98] + 52*t[99] - 16*t[100]) + 
     HPL[{0, 1}, 1 - w]*M1[w, v, u]*(t[1] + (5*t[2])/6 - (19*t[3])/6 + 
       (37*t[4])/3 - (59*t[5])/24 + (21*t[6])/4 + t[7] + (35*t[8])/3 - 
       (7*t[9])/24 + (27*t[10])/8 + (163*t[11])/12 + (163*t[13])/24 + 
       (469*t[14])/72 - (43*t[15])/144 - t[25]/3 + (2*t[26])/3 + t[27]/3 + 
       (4*t[28])/3 - t[29]/3 - (2*t[30])/3 - (7*t[31])/3 - t[34]/3 - 
       2*t[35] - t[36] - t[37] + (2*t[39])/3 - (2*t[40])/3 + t[41]/6 - 
       t[42]/6 - t[43]/6 - (2*t[44])/3 - (2*t[46])/3 + (19*t[48])/4 - 
       (13*t[49])/8 + (5*t[50])/4 - (11*t[51])/24 + (5*t[52])/12 + t[53]/8 - 
       (25*t[54])/4 + t[58]/3 + (5*t[59])/6 + (137*t[60])/12 + 12*t[61] - 
       (179*t[62])/24 - (211*t[63])/8 - (71*t[64])/12 + (2*t[65])/9 - 
       (203*t[66])/12 + 2*t[72] + t[74] - (7*t[76])/3 - t[77]/3 + 
       (4*t[78])/3 - (7*t[81])/6 + t[82]/6 - t[83] + (25*t[84])/3 + 
       (17*t[85])/12 + (10*t[86])/3 + (5*t[87])/4 + (21*t[88])/8 + 
       (131*t[89])/24 - 2*t[95] - t[97]/3 - 16*t[98] + 16*t[99] - 
       (31*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-4*t[1] - (3*t[2])/2 - (15*t[3])/4 + 
       (105*t[4])/4 - (11*t[5])/8 - (85*t[6])/8 + (25*t[7])/4 + (3*t[8])/4 - 
       (3*t[9])/8 + (51*t[10])/4 - (311*t[11])/24 - (31*t[12])/8 + 
       (19*t[13])/24 - (277*t[14])/18 + (839*t[15])/144 + (2*t[19])/3 + 
       3*t[25] + (4*t[26])/3 + t[27] - 4*t[31] - 8*t[35] - 5*t[37] - 
       3*t[38] - (9*t[46])/2 - t[48]/8 + (47*t[49])/4 + (35*t[50])/8 - 
       (67*t[51])/8 - (35*t[52])/8 - (137*t[53])/12 - (51*t[54])/8 + 
       (41*t[59])/18 - (57*t[60])/4 - (35*t[61])/3 + (15*t[62])/8 - 
       (207*t[63])/8 - (32*t[64])/3 + (91*t[65])/12 + (107*t[66])/12 - 
       4*t[69] - 2*t[72] + 10*t[73] - 2*t[74] + 8*t[75] - t[76]/3 + 
       (26*t[78])/3 + 7*t[79] + 2*t[81] + 3*t[82] - 31*t[83] - 
       (25*t[84])/12 - (19*t[85])/4 + 17*t[86] - (2*t[87])/3 + (7*t[88])/3 + 
       (11*t[89])/24 - (46*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*(-t[1]/3 + (271*t[2])/48 - 
       (217*t[3])/72 + (1691*t[4])/144 + (35*t[5])/18 + (325*t[6])/24 - 
       (685*t[7])/72 + (307*t[8])/72 - (47*t[9])/48 + (859*t[10])/96 - 
       (593*t[11])/144 + (227*t[12])/288 + (385*t[13])/54 + 
       (1099*t[14])/576 + (113*t[15])/216 + t[17]/2 - (2*t[20])/3 + 
       (2*t[21])/3 + (2*t[22])/3 - (2*t[23])/3 - t[24]/3 + (5*t[27])/9 + 
       (7*t[28])/18 + (55*t[29])/36 - (121*t[30])/36 + t[31]/6 - 
       (11*t[32])/12 + (13*t[33])/12 + (2*t[34])/3 - (37*t[35])/6 - t[36] - 
       t[37]/6 - t[38]/6 - (35*t[39])/36 + t[40]/4 - t[41]/6 + t[42]/6 - 
       (3*t[43])/2 - t[44]/36 - (2*t[45])/3 - (67*t[46])/24 - (5*t[47])/2 - 
       (17*t[48])/36 + (11*t[49])/32 - (47*t[50])/36 - (13*t[51])/576 + 
       (59*t[52])/36 - (97*t[53])/96 + (7*t[54])/48 - (55*t[60])/36 + 
       (79*t[61])/8 + (397*t[62])/96 - (1243*t[63])/288 - (121*t[64])/72 - 
       (2479*t[65])/432 - (2735*t[66])/432 - (4*t[69])/3 + (5*t[72])/9 + 
       (19*t[73])/12 - (3*t[74])/2 - (16*t[75])/3 + (5*t[76])/6 + t[77]/6 - 
       (25*t[78])/6 + (5*t[79])/12 - 2*t[80] - (25*t[81])/9 - (17*t[82])/18 + 
       (26*t[83])/9 + (19*t[84])/36 + (52*t[85])/9 - (97*t[86])/12 + 
       (185*t[87])/36 + (233*t[88])/72 + (25*t[89])/36 - t[96]/2 - t[97]/3 + 
       (19*t[98])/3 - 4*t[99] - (91*t[100])/6) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*
      ((-31*t[1])/6 - (161*t[2])/12 + (34*t[3])/3 + (41*t[4])/4 - 
       (305*t[5])/24 + (179*t[6])/24 - (139*t[7])/6 - (97*t[8])/4 + 
       (63*t[9])/8 - (47*t[10])/24 + (23*t[11])/8 + (149*t[12])/3 - 
       (703*t[13])/27 - (4591*t[14])/144 - (569*t[15])/48 - (5*t[17])/2 + 
       5*t[18] + (10*t[21])/3 - (2*t[23])/3 + (40*t[24])/3 + 3*t[31] + 
       (16*t[34])/3 + (16*t[41])/3 - 6*t[42] - (355*t[43])/12 + 
       (79*t[45])/6 + 5*t[46] - 11*t[47] - (51*t[48])/8 - (71*t[49])/24 - 
       (109*t[50])/24 - (77*t[51])/48 - (19*t[52])/24 + (71*t[53])/24 - 
       (7*t[54])/8 + 11*t[59] + (103*t[60])/4 - (277*t[61])/4 + 
       (385*t[62])/8 - (691*t[63])/24 - (9*t[64])/8 + (1681*t[65])/36 + 
       (3563*t[66])/36 + 4*t[67] + 9*t[69] - (29*t[70])/3 + (29*t[71])/3 + 
       20*t[74] + (32*t[76])/3 + 4*t[77] - (16*t[78])/3 + 36*t[79] + 
       (56*t[80])/3 + (19*t[81])/3 - t[82] - 19*t[83] - (31*t[84])/12 + 
       (53*t[85])/12 - (110*t[86])/3 - (391*t[87])/12 - (391*t[88])/24 + 
       (5*t[89])/8 - 3*t[94] + 64*t[98] - 64*t[99] - 15*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*(5*t[1] + (11*t[3])/6 + 
       (23*t[4])/6 + (73*t[5])/24 - 6*t[6] + (5*t[7])/3 - 2*t[8] + 
       (43*t[9])/24 - (29*t[10])/6 + (253*t[11])/12 - (449*t[12])/24 + 
       (451*t[13])/108 - (1717*t[14])/72 + t[15]/16 + (7*t[16])/2 - 
       (16*t[25])/3 + (8*t[26])/3 + t[36] + (4*t[37])/3 + 5*t[38] + t[46]/6 - 
       (2*t[48])/3 + (9*t[49])/2 + t[50]/3 + (17*t[51])/6 - t[52]/3 - 
       (19*t[53])/6 - (29*t[54])/2 + 2*t[59] + (25*t[60])/2 - 
       (239*t[61])/12 + (55*t[62])/6 - (233*t[63])/4 + (959*t[64])/24 - 
       (19*t[65])/3 - (223*t[66])/6 + t[67]/2 + 3*t[69] - (10*t[70])/3 + 
       (10*t[71])/3 + 7*t[74] + 36*t[75] + (32*t[76])/3 - (40*t[78])/3 + 
       8*t[79] + (16*t[80])/3 + (5*t[81])/3 + t[82] - (73*t[83])/2 + 
       t[84]/3 + (29*t[85])/2 + 14*t[86] - (59*t[87])/6 - (49*t[88])/4 + 
       (113*t[89])/24 - 4*t[95] + (16*t[96])/3 + 64*t[98] - 64*t[99] - 
       15*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((13*t[3])/6 + t[4]/2 - (17*t[5])/12 - (2*t[6])/3 + (65*t[7])/12 - 
       (15*t[8])/4 + (31*t[9])/6 - (193*t[10])/12 + (11*t[11])/2 + 
       (13*t[12])/12 + (43*t[13])/27 - (131*t[14])/36 - (37*t[15])/9 - 
       t[22]/3 + t[32]/3 + (13*t[43])/12 - (29*t[45])/6 + (29*t[47])/3 - 
       (10*t[60])/3 + t[61] - (20*t[62])/3 + (4*t[63])/3 + 26*t[64] - 
       (37*t[65])/9 - 11*t[66] + t[77]/3 + (32*t[80])/3 + t[82]/3 + 
       (52*t[86])/3 - (7*t[89])/3 - (29*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*(-6*t[3] + (163*t[4])/24 - 
       (671*t[5])/24 - (37*t[6])/2 + (184*t[7])/3 + (35*t[8])/4 + 
       (499*t[9])/8 - (353*t[10])/16 + (577*t[11])/24 + (433*t[12])/16 - 
       (233*t[13])/24 + (2813*t[14])/288 - (397*t[15])/24 - t[17] - 
       (5*t[18])/3 - (11*t[19])/18 + (17*t[21])/3 - 7*t[23] - (5*t[24])/3 + 
       (4*t[31])/3 + (11*t[35])/3 - t[37]/6 + (35*t[41])/6 - (41*t[42])/6 + 
       (5*t[43])/3 - (58*t[45])/3 + (311*t[47])/6 - (20*t[48])/3 - 
       (59*t[49])/16 + t[50]/3 + (33*t[51])/32 - t[52]/3 + (59*t[53])/16 + 
       (85*t[54])/24 + (191*t[60])/12 + t[61]/6 - (887*t[62])/16 - 
       (1075*t[63])/48 + (225*t[64])/8 + (1901*t[65])/72 - (833*t[66])/72 + 
       3*t[69] - 7*t[70] + 7*t[71] + (13*t[76])/3 - 5*t[78] + t[79]/2 + 
       13*t[80] + (25*t[81])/6 - (23*t[82])/6 + (7*t[83])/3 + (35*t[84])/12 + 
       (35*t[85])/6 + (145*t[86])/3 - 11*t[87] - (11*t[88])/2 + 
       (281*t[89])/24 - (29*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((-139*t[1])/48 - (187*t[2])/48 + (79*t[3])/48 - 
       (383*t[4])/32 + (773*t[5])/96 - (311*t[6])/32 - (119*t[7])/24 - 
       (181*t[8])/16 - (119*t[9])/16 + (349*t[10])/192 + (7*t[11])/3 + 
       (1207*t[12])/192 + (541*t[13])/864 - (1207*t[14])/128 + 
       (733*t[15])/288 - t[25]/3 + (65*t[26])/24 + t[27]/3 + t[28]/12 - 
       t[29]/12 - t[30]/24 + t[31]/6 - (13*t[34])/24 + (15*t[36])/8 + 
       (3*t[37])/4 - (29*t[38])/12 + (3*t[39])/4 + t[40] + (13*t[41])/48 - 
       (13*t[42])/48 - t[43]/24 + t[44]/12 - t[45]/2 - (19*t[46])/32 + 
       t[47] - (281*t[48])/96 - (403*t[49])/192 - (211*t[50])/32 + 
       (1561*t[51])/384 + (221*t[52])/96 + (913*t[53])/192 + (29*t[54])/32 - 
       (5*t[58])/8 + (35*t[59])/16 - (1013*t[60])/48 + (625*t[61])/32 - 
       (299*t[62])/48 + (1373*t[63])/96 + (597*t[64])/32 + (179*t[65])/288 + 
       (75*t[66])/32 + 3*t[69] + (3*t[72])/2 - (7*t[73])/2 - t[74]/4 - 
       3*t[75] + (235*t[76])/24 + (35*t[77])/24 - (59*t[78])/6 + 
       (5*t[79])/2 + (79*t[80])/12 - t[81]/4 - (7*t[82])/24 + (75*t[83])/4 - 
       (1019*t[84])/96 - (425*t[85])/96 - (32*t[86])/3 + (129*t[87])/16 + 
       (359*t[88])/96 - (73*t[89])/32 + (7*t[96])/2 + (71*t[97])/24 + 
       (253*t[98])/4 - (253*t[99])/4 - (29*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - w]*(-t[1]/3 - t[2]/6 + t[3]/9 - 
       (107*t[4])/18 + (59*t[5])/72 - (13*t[6])/72 + (7*t[7])/12 + 
       (17*t[8])/36 - (53*t[9])/72 - (155*t[10])/24 - (67*t[11])/72 + 
       (11*t[12])/9 + (1361*t[13])/324 - (3389*t[14])/432 + 
       (1103*t[15])/432 + (4*t[25])/9 - t[26]/9 + (8*t[36])/9 - (8*t[37])/9 - 
       t[38]/3 - (13*t[46])/18 + t[48]/24 - (233*t[49])/72 - (17*t[50])/72 + 
       (319*t[51])/144 + t[52]/72 + (221*t[53])/72 - (89*t[54])/72 - 
       (109*t[60])/18 + (71*t[61])/36 + (109*t[62])/18 - (15*t[63])/2 + 
       (1033*t[64])/72 + (344*t[65])/27 + (701*t[66])/54 - (2*t[70])/9 + 
       (2*t[71])/9 + t[74]/9 - 3*t[75] + (4*t[76])/9 + t[77]/9 - t[78]/6 + 
       t[79] + (7*t[80])/9 + t[81]/9 + t[82]/18 + 2*t[83] + (47*t[84])/36 + 
       (8*t[85])/9 + 3*t[86] + (223*t[87])/36 + (29*t[88])/8 + 
       (631*t[89])/72 - (2*t[95])/9 - t[96]/9 + t[97]/9 + (8*t[98])/3 - 
       (8*t[99])/3 - (29*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      M1[v, u, w]*((-3*t[2])/2 - (29*t[3])/12 + (17*t[4])/12 + (29*t[5])/24 + 
       (3*t[6])/2 + (19*t[7])/12 + (5*t[8])/12 + (25*t[9])/8 - (7*t[10])/8 + 
       (79*t[11])/12 + (4*t[12])/3 + (8*t[13])/9 + (263*t[14])/48 + 
       (269*t[15])/144 - t[27]/3 + (2*t[28])/3 + t[29]/3 - t[30]/3 - 
       2*t[31] - 2*t[35] + t[37] + t[39]/3 - t[44]/3 + (4*t[48])/3 + 
       t[49]/8 + t[50]/3 - (7*t[51])/48 - t[52]/3 - t[53]/8 - t[54]/4 + 
       t[59]/2 + (41*t[60])/12 + (31*t[61])/4 - (7*t[62])/4 + (25*t[63])/12 - 
       (79*t[64])/24 - (17*t[65])/18 - (173*t[66])/36 - t[72]/3 + 
       (2*t[81])/3 - (4*t[82])/3 - (4*t[83])/3 + (4*t[84])/3 - (5*t[85])/3 - 
       t[86] - (4*t[87])/3 - (2*t[88])/3 - (31*t[89])/24 - 14*t[100]) + 
     HPL[{0, 1}, 1 - w]*Ot[u, v, w]*(t[1]/2 - (29*t[2])/12 + (22*t[3])/3 - 
       (77*t[4])/48 + (29*t[5])/12 - (113*t[6])/8 - t[7]/4 - (253*t[8])/12 + 
       t[9]/3 + (101*t[10])/32 + (7*t[11])/12 + (73*t[12])/32 - 
       (289*t[13])/144 - (7003*t[14])/576 - (1169*t[15])/288 - (4*t[25])/3 - 
       (5*t[26])/6 + (4*t[27])/3 - (8*t[28])/3 - (4*t[29])/3 + (7*t[30])/3 - 
       (4*t[31])/3 + (2*t[34])/3 - 2*t[35] - t[36] + (3*t[38])/2 - 
       (4*t[39])/3 + (4*t[40])/3 - t[41]/3 + t[42]/3 - (2*t[43])/3 + 
       (4*t[44])/3 + t[46]/12 - (75*t[48])/8 - (97*t[49])/32 + (5*t[50])/8 + 
       (779*t[51])/192 - (95*t[52])/24 + (113*t[53])/32 - (31*t[54])/16 - 
       (2*t[58])/3 - (5*t[59])/12 - (91*t[60])/48 - (401*t[61])/16 - 
       (1763*t[62])/96 + t[63]/32 + (2009*t[64])/96 - (1417*t[65])/144 + 
       (13*t[66])/16 - t[74] - 6*t[75] + (23*t[76])/3 + (2*t[77])/3 - 
       (44*t[78])/3 + 8*t[79] + 2*t[80] + t[81]/3 + (7*t[82])/6 + 8*t[83] - 
       (281*t[84])/48 + (155*t[85])/48 + (70*t[86])/3 - (127*t[87])/16 - 
       (127*t[88])/32 - (913*t[89])/96 + (2*t[97])/3 + 38*t[98] - 38*t[99] - 
       14*t[100]) + HPL[{0, 1}, 1 - u]*Ot[u, v, w]*((-13*t[1])/12 - 
       (11*t[2])/12 - (85*t[3])/16 - (29*t[4])/12 + (1063*t[5])/96 - 
       (311*t[6])/48 + (79*t[7])/48 + t[8]/48 - (1183*t[9])/96 + 
       (953*t[10])/48 + (425*t[11])/48 - (383*t[12])/96 + (7829*t[13])/864 + 
       (209*t[14])/32 + (5981*t[15])/576 - (2*t[26])/3 + (4*t[27])/3 - 
       (8*t[28])/3 - (4*t[29])/3 + (7*t[30])/3 - (4*t[32])/3 + (4*t[33])/3 + 
       (2*t[34])/3 - 2*t[35] - (8*t[39])/3 + (8*t[40])/3 - t[41]/3 + 
       t[42]/3 + (23*t[43])/24 + (4*t[44])/3 + (31*t[45])/12 + t[46]/2 - 
       (13*t[47])/2 - (43*t[48])/6 + (5*t[49])/3 - t[50]/2 - (5*t[51])/24 - 
       (17*t[52])/6 - (5*t[53])/3 - (19*t[54])/6 - (2*t[58])/3 + t[59]/4 + 
       (23*t[60])/3 + (95*t[61])/6 - (263*t[62])/24 + (439*t[63])/24 - 
       (113*t[64])/8 - (157*t[65])/72 - (419*t[66])/72 + (14*t[76])/3 + 
       (3*t[77])/2 - (8*t[78])/3 + (5*t[80])/6 + 2*t[81] - (9*t[82])/4 - 
       t[84] + (13*t[85])/3 - (3*t[86])/2 - (29*t[87])/3 - (29*t[88])/6 - 
       (9*t[89])/2 + (2*t[97])/3 + 38*t[98] - 38*t[99] - 14*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-3*t[1])/8 - (3*t[2])/8 + (9*t[3])/16 - (55*t[4])/2 + (197*t[5])/32 - 
       (25*t[6])/8 + (107*t[7])/8 - 5*t[8] - (75*t[9])/32 - (5*t[10])/16 + 
       9*t[11] + (193*t[12])/32 - (1301*t[13])/288 + (329*t[14])/48 + 
       (1577*t[15])/192 + (9*t[31])/2 + (7*t[35])/2 - t[37] + (9*t[42])/8 + 
       (55*t[43])/16 + (7*t[44])/2 + 5*t[45] + 5*t[46] - 9*t[47] - 
       (13*t[48])/16 - (31*t[49])/16 - (21*t[50])/16 - (9*t[51])/32 + 
       (21*t[52])/16 + (31*t[53])/16 + (55*t[54])/16 - 2*t[59] - 
       (5*t[60])/4 + (229*t[61])/8 - (129*t[62])/8 - 13*t[63] + 
       (29*t[64])/8 + (197*t[65])/24 - (221*t[66])/8 - t[67]/4 - 2*t[69] + 
       (3*t[70])/2 - (3*t[71])/2 + 3*t[74] - t[75] + (3*t[77])/2 - t[79] + 
       (43*t[80])/2 - 2*t[82] + (15*t[83])/4 + t[84]/4 - (3*t[85])/4 + 
       (15*t[86])/2 + (11*t[87])/4 + (11*t[88])/8 + 4*t[99] - 14*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-5*t[1])/4 - (7*t[3])/2 - (39*t[4])/16 - (61*t[5])/16 + 
       (115*t[6])/16 - (51*t[7])/8 - (51*t[8])/8 + (101*t[9])/16 + 
       (253*t[10])/32 - (89*t[11])/16 + (79*t[12])/32 + (1045*t[13])/144 + 
       (1097*t[14])/192 + (113*t[15])/24 + t[16]/4 + t[25]/2 - (5*t[26])/2 + 
       (7*t[28])/2 + (7*t[31])/2 - (7*t[35])/2 - 3*t[36] - (3*t[37])/2 + 
       (5*t[38])/4 + (7*t[39])/2 - (7*t[40])/2 + (7*t[45])/2 + (45*t[46])/8 - 
       7*t[47] + (35*t[48])/16 - (141*t[49])/32 - (53*t[50])/16 - 
       (221*t[51])/64 + (53*t[52])/16 + (9*t[53])/32 + (43*t[54])/8 + 
       (5*t[59])/8 + (125*t[60])/16 + (361*t[61])/16 + (1043*t[62])/32 - 
       (311*t[63])/32 - (1681*t[64])/32 + (143*t[65])/48 - (457*t[66])/16 - 
       t[67]/4 - 2*t[69] + (3*t[70])/2 - (3*t[71])/2 + (13*t[74])/2 + t[75] + 
       (7*t[77])/2 + (7*t[78])/2 + (5*t[79])/2 - 6*t[80] + (5*t[81])/4 - 
       (11*t[82])/4 - (41*t[83])/4 + (43*t[84])/16 + (9*t[85])/16 - 
       49*t[86] - (173*t[87])/16 - (249*t[88])/32 + (175*t[89])/32 + 
       4*t[99] - 14*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((15*t[1])/2 - (44*t[2])/3 + 
       (295*t[3])/24 - (104*t[4])/3 + (2795*t[5])/48 + (971*t[6])/48 - 
       (59*t[7])/2 - (121*t[8])/12 - (2395*t[9])/48 + (217*t[10])/12 + 
       (301*t[11])/16 + (1151*t[12])/48 - (5635*t[13])/432 - (77*t[14])/18 + 
       (1729*t[15])/288 + t[17] + (16*t[19])/3 - 2*t[21] + 2*t[23] - 
       2*t[24] + t[26]/3 - (2*t[27])/3 - (2*t[28])/3 + (2*t[29])/3 + 
       (10*t[30])/3 - (11*t[31])/6 + (2*t[32])/3 - (2*t[33])/3 - t[34]/3 + 
       4*t[35] - (2*t[39])/3 - (2*t[40])/3 + t[41]/6 - t[42]/6 - 
       (9*t[43])/4 - (14*t[44])/3 + (61*t[45])/6 - (17*t[46])/6 - 
       (71*t[47])/3 + (323*t[48])/16 + (5*t[49])/4 - (93*t[50])/16 + 
       (9*t[51])/2 + (359*t[52])/48 - (5*t[53])/4 + (85*t[54])/16 + t[58]/3 + 
       (7*t[59])/2 + (113*t[60])/8 + (199*t[61])/8 + (415*t[62])/24 + 
       (2269*t[63])/24 - (557*t[64])/48 + (133*t[65])/8 + (461*t[66])/8 + 
       4*t[69] - 6*t[72] - 2*t[73] + (5*t[74])/3 + 6*t[75] - (7*t[76])/3 + 
       (17*t[77])/6 + (10*t[78])/3 - (37*t[79])/12 - (4*t[80])/3 - t[81]/4 - 
       (11*t[82])/4 - (59*t[83])/3 + (17*t[84])/6 - (125*t[85])/24 - 
       (1171*t[86])/12 + (5*t[87])/24 + (5*t[88])/48 - (121*t[89])/48 - 
       t[97]/3 - 4*t[98] + 8*t[99] - 14*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((27*t[1])/4 + (31*t[2])/2 + (3*t[3])/8 - (15*t[4])/2 - (345*t[5])/16 - 
       (65*t[6])/4 + (89*t[7])/2 + (37*t[8])/2 + (659*t[9])/16 - 34*t[10] + 
       58*t[11] - (115*t[12])/16 + (4225*t[13])/144 + (631*t[14])/48 + 
       (65*t[15])/32 - t[17]/2 - 4*t[19] + 2*t[21] - 2*t[23] - t[24] + 
       3*t[31] - 2*t[37] - (13*t[41])/4 + (13*t[42])/4 - (19*t[43])/8 + 
       (3*t[45])/2 + 2*t[46] + (11*t[47])/2 - (55*t[48])/8 + t[49]/2 + 
       (33*t[50])/8 - t[51]/4 - (33*t[52])/8 - t[53]/2 - (81*t[54])/8 - 
       5*t[59] + (37*t[60])/8 + (439*t[61])/8 - (1623*t[62])/16 - 
       (857*t[63])/16 + (125*t[64])/16 + (491*t[65])/12 - (392*t[66])/3 + 
       t[67]/4 - 11*t[69] + (13*t[74])/2 - 4*t[75] - 12*t[79] + 29*t[80] + 
       t[81]/4 - (33*t[82])/4 + 24*t[83] + t[84]/4 + (89*t[85])/8 + 
       (241*t[86])/2 + (3*t[87])/8 + (3*t[88])/16 + (49*t[89])/16 - 
       (3*t[94])/2 + 16*t[99] - 14*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*((-5*t[1])/2 - (3*t[3])/4 - 
       (299*t[4])/8 - (47*t[5])/16 + (13*t[6])/16 - (15*t[7])/4 - 
       (9*t[8])/4 + (43*t[9])/16 - (5*t[10])/16 - (265*t[11])/16 + 
       (37*t[12])/2 - (19*t[13])/8 - (143*t[14])/96 + (331*t[15])/96 + 
       (5*t[16])/4 - (5*t[25])/2 + (3*t[26])/2 - t[36]/2 - 9*t[37] - 
       (3*t[38])/2 - 6*t[46] + (29*t[48])/16 + (29*t[49])/16 - 
       (43*t[50])/16 + (259*t[51])/32 + (43*t[52])/16 + (87*t[53])/16 + 
       (205*t[54])/16 - (7*t[59])/4 - (147*t[60])/4 + (181*t[61])/8 + 
       (201*t[62])/8 + (193*t[63])/8 - (619*t[64])/16 + (187*t[65])/8 - 
       (43*t[66])/8 - (5*t[67])/4 - 9*t[69] + (5*t[74])/2 - 2*t[75] + 
       2*t[80] - (9*t[81])/4 + (9*t[82])/4 - 11*t[83] - (59*t[84])/8 - 
       (37*t[85])/4 - 20*t[86] + (21*t[87])/2 - (13*t[88])/4 - 
       (183*t[89])/16 + 2*t[95] + 16*t[99] - 14*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-23*t[1])/48 - (5*t[2])/24 - (59*t[3])/64 - (5*t[4])/24 - 
       (103*t[5])/384 - (85*t[6])/192 + (173*t[7])/192 - (37*t[8])/192 + 
       (619*t[9])/384 + (469*t[10])/192 + (277*t[11])/192 + (443*t[12])/384 + 
       (10597*t[13])/3456 + (97*t[14])/128 - (797*t[15])/2304 - t[26]/12 + 
       t[27]/6 - t[28]/3 - t[29]/6 - t[30]/12 + t[31] - t[32]/6 + t[33]/6 + 
       t[34]/12 + t[35] - t[37]/2 - t[39]/3 + t[40]/3 - t[41]/24 + t[42]/24 - 
       (11*t[43])/96 + t[44]/6 - (19*t[45])/48 + t[46]/8 + (5*t[47])/8 - 
       (143*t[48])/96 + (35*t[49])/96 - (13*t[50])/32 - (29*t[51])/192 - 
       t[52]/96 - (35*t[53])/96 - (47*t[54])/96 - t[58]/12 - (9*t[59])/16 + 
       (29*t[60])/24 - (17*t[61])/24 - (89*t[62])/48 - (7*t[63])/24 + 
       t[64]/8 + (37*t[65])/288 - (1381*t[66])/288 - t[69]/2 + t[73]/2 - 
       t[75]/2 + (7*t[76])/12 + t[77]/8 - t[78]/3 + (23*t[80])/12 + t[81]/2 - 
       t[82]/8 - t[83]/4 + (55*t[85])/24 + (7*t[86])/4 - (65*t[87])/24 - 
       (65*t[88])/48 + t[89]/16 + t[97]/12 + (5*t[98])/2 - (19*t[99])/6 - 
       (163*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*(-t[1] + (19*t[2])/6 - (133*t[3])/12 + 
       (77*t[4])/12 - (101*t[5])/12 + (47*t[6])/4 + t[7]/2 + (61*t[8])/3 + 
       (17*t[9])/12 + (27*t[10])/8 + (13*t[11])/6 - (27*t[12])/8 + 
       (491*t[13])/72 + (1519*t[14])/144 + (569*t[15])/72 + (4*t[25])/3 + 
       (4*t[26])/3 + (2*t[27])/3 + (11*t[28])/3 + t[29]/3 - (10*t[30])/3 + 
       (7*t[31])/3 - (2*t[34])/3 + 2*t[35] + t[36] - 2*t[38] + (7*t[39])/3 - 
       (7*t[40])/3 + t[41]/3 - t[42]/3 + (2*t[43])/3 - (4*t[44])/3 + 
       2*t[45] - (11*t[46])/6 - 4*t[47] + (17*t[48])/2 + (9*t[49])/8 + 
       t[50] - (71*t[51])/48 + (7*t[52])/3 - (13*t[53])/8 - (9*t[54])/4 + 
       (2*t[58])/3 + (2*t[59])/3 - (17*t[60])/12 + (93*t[61])/4 + 
       (169*t[62])/12 - (87*t[63])/4 - (563*t[64])/24 + (349*t[65])/36 - 
       (197*t[66])/12 + 2*t[72] + 3*t[74] + 8*t[75] - (26*t[76])/3 + 
       t[77]/3 + (56*t[78])/3 - 12*t[79] - 4*t[80] + (7*t[81])/6 - 
       (7*t[82])/6 - 4*t[83] + (17*t[84])/3 - (35*t[85])/12 - (58*t[86])/3 + 
       (51*t[87])/4 + (51*t[88])/8 + (283*t[89])/24 - (2*t[97])/3 - 
       44*t[98] + 50*t[99] - 13*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*(-t[1]/6 + (8*t[2])/3 + 
       (59*t[3])/12 + 19*t[4] - (329*t[5])/12 + (25*t[6])/6 - (91*t[7])/6 - 
       (89*t[8])/12 + (23*t[9])/6 - (73*t[10])/3 - (55*t[11])/2 + 
       (97*t[12])/12 - (1061*t[13])/54 - (2423*t[14])/72 - (85*t[15])/12 - 
       t[17]/2 + 2*t[19] - 4*t[21] + 4*t[23] + t[24] + (2*t[26])/3 - 
       (4*t[27])/3 - t[28]/3 + (4*t[29])/3 - (4*t[30])/3 - t[31] + 
       (4*t[32])/3 - (4*t[33])/3 - (2*t[34])/3 + 12*t[35] - 5*t[37] + 
       (2*t[39])/3 - (8*t[40])/3 + (11*t[41])/6 - (11*t[42])/6 - 
       (47*t[43])/12 + (2*t[44])/3 - (53*t[45])/6 + 3*t[46] + (23*t[48])/12 - 
       (19*t[49])/4 + (83*t[50])/12 + (3*t[51])/8 - (43*t[52])/12 + 
       (19*t[53])/4 + (67*t[54])/12 + (2*t[58])/3 + 2*t[59] - 
       (113*t[60])/12 - (607*t[61])/12 + (353*t[62])/12 - (89*t[63])/2 + 
       (191*t[64])/24 - (25*t[65])/3 + (227*t[66])/6 + (3*t[67])/2 + 
       4*t[69] + 6*t[74] - 2*t[75] - (14*t[76])/3 - 2*t[77] + (5*t[78])/3 + 
       (13*t[79])/2 + (44*t[80])/3 - 4*t[81] + t[82] + (26*t[83])/3 - 
       (11*t[84])/6 - (15*t[85])/2 + (55*t[86])/3 + (31*t[87])/2 + 
       (31*t[88])/4 + (125*t[89])/24 - t[94]/2 - (2*t[97])/3 - 44*t[98] + 
       50*t[99] - 13*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(-t[1]/3 + (103*t[2])/48 - 
       (251*t[3])/288 + (413*t[4])/72 - (4567*t[5])/576 - (263*t[6])/96 + 
       (2083*t[7])/288 + (1097*t[8])/288 + (1313*t[9])/192 + (17*t[10])/96 + 
       (3271*t[11])/288 + (827*t[12])/576 + (17333*t[13])/1728 - 
       (55*t[14])/576 - (51*t[15])/128 - t[19]/4 + t[21]/4 - t[23]/4 + 
       (5*t[25])/2 - (23*t[26])/12 + (4*t[27])/9 - (23*t[28])/36 + t[29]/18 + 
       (11*t[30])/18 - (5*t[31])/6 + t[32]/6 - t[33]/6 - t[34]/12 - t[35]/3 - 
       t[37]/12 - t[38]/2 - t[39]/36 - t[40]/3 + t[41]/24 - t[42]/24 - 
       (35*t[43])/48 + (4*t[44])/9 - t[45]/6 + (13*t[46])/24 - t[47]/4 - 
       (67*t[48])/144 + (35*t[49])/48 + (161*t[50])/144 + (37*t[51])/144 - 
       (101*t[52])/144 - (35*t[53])/48 - (125*t[54])/48 + t[58]/12 + 
       (41*t[59])/24 + (481*t[60])/144 - (23*t[61])/16 - (77*t[62])/24 - 
       (1979*t[63])/72 + (91*t[64])/288 - (401*t[65])/432 - 
       (5629*t[66])/432 - (5*t[69])/4 + (13*t[72])/36 + (25*t[73])/12 + 
       t[74]/2 - t[75] - (7*t[76])/3 + (5*t[77])/4 - (7*t[79])/4 - 
       (25*t[80])/6 + (17*t[81])/18 - (73*t[82])/18 - (241*t[83])/72 + 
       (125*t[84])/36 - (25*t[85])/9 + (34*t[86])/3 + (17*t[87])/18 + 
       (17*t[88])/36 + (1003*t[89])/288 + t[97]/6 - 17*t[98] + 24*t[99] - 
       (25*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^3*
      ((3*t[1])/8 - (7*t[2])/6 - (97*t[3])/24 + (833*t[4])/96 + (5*t[5])/48 + 
       (93*t[6])/16 + (11*t[7])/8 + (175*t[8])/24 + (175*t[9])/48 + 
       (611*t[10])/64 + (25*t[11])/3 - (93*t[12])/64 + (731*t[13])/288 + 
       (16807*t[14])/1152 + (919*t[15])/576 + (2*t[25])/3 + t[26]/6 - 
       (7*t[27])/6 + t[28]/3 + (2*t[29])/3 + t[30]/3 - (4*t[31])/3 - 
       (7*t[34])/12 - 3*t[35] - t[37] - t[38]/2 + (5*t[39])/12 - t[40]/6 + 
       (7*t[41])/24 - (7*t[42])/24 + t[43]/3 - (2*t[44])/3 - (7*t[46])/24 + 
       (53*t[48])/16 + (497*t[49])/64 - (59*t[50])/16 - (1271*t[51])/384 + 
       (173*t[52])/48 - (417*t[53])/64 + (23*t[54])/32 + t[58]/12 + 
       (19*t[59])/12 + (931*t[60])/96 + (885*t[61])/32 - (661*t[62])/192 + 
       (103*t[63])/64 - (1997*t[64])/192 - (3071*t[65])/288 - 
       (485*t[66])/32 - t[72] - t[74] + 3*t[75] - t[76]/12 + (5*t[77])/12 + 
       (23*t[78])/6 - (3*t[79])/2 + (3*t[80])/2 + (19*t[81])/12 - 
       (10*t[82])/3 - (15*t[83])/2 - (235*t[84])/96 - (407*t[85])/96 - 
       (61*t[86])/6 - (165*t[87])/32 - (229*t[88])/64 + (361*t[89])/192 + 
       t[95] + (3*t[96])/2 + (11*t[97])/12 + 11*t[98] - 9*t[99] - 
       (73*t[100])/6) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-9*t[3])/2 - (9*t[4])/2 - (17*t[5])/2 - (15*t[6])/2 + 8*t[7] - 
       4*t[8] - 13*t[9] + (29*t[10])/4 + 7*t[11] + (13*t[12])/4 + 
       (5*t[13])/2 + (13*t[14])/24 + (23*t[15])/2 - 6*t[28] + 4*t[30] + 
       2*t[31] - 4*t[39] - t[43] + 6*t[44] + 2*t[45] + 3*t[46] - 6*t[47] - 
       7*t[48] - (13*t[49])/4 + 5*t[50] - t[51]/8 - 5*t[52] + (13*t[53])/4 - 
       (3*t[54])/2 + 2*t[60] + 4*t[61] - 4*t[62] - 4*t[63] - 4*t[64] + 
       (14*t[65])/3 + 2*t[89] - 12*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-11*t[3])/2 + 12*t[4] - (29*t[5])/2 - 
       6*t[6] - 4*t[7] - 17*t[8] + (17*t[9])/2 + 24*t[10] + (13*t[11])/2 + 
       (3*t[12])/2 + (233*t[13])/36 - 2*t[14] + (7*t[15])/3 + 4*t[27] + 
       2*t[28] - 2*t[29] + 2*t[31] - 4*t[35] - 2*t[36] + 2*t[39] - 2*t[40] + 
       4*t[45] - 2*t[46] - 8*t[47] - (17*t[48])/2 - 4*t[49] + (9*t[50])/2 + 
       5*t[51] - (9*t[52])/2 + 4*t[53] - (17*t[54])/2 - t[60] - 16*t[61] - 
       (47*t[62])/4 - (149*t[63])/4 - 3*t[64] - (44*t[65])/3 - 
       (103*t[66])/3 + 4*t[72] + 2*t[74] + 2*t[77] - 8*t[80] + 3*t[81] - 
       3*t[82] + 12*t[83] - (5*t[84])/2 + 4*t[85] + 4*t[86] - t[87] - 
       t[88]/2 + 2*t[89] - 12*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*(-7*t[1] - (3*t[3])/2 - (33*t[4])/8 - 
       (61*t[5])/4 + (49*t[6])/8 - (9*t[7])/4 - 7*t[8] + (71*t[9])/4 + 
       (81*t[10])/16 + (61*t[11])/4 + (173*t[12])/16 - (25*t[13])/3 + 
       (599*t[14])/96 - (91*t[15])/48 - t[24]/2 + (11*t[31])/2 + 
       (11*t[43])/4 + 3*t[46] + (9*t[47])/2 - (17*t[48])/8 - (109*t[49])/16 - 
       (37*t[50])/8 + (37*t[51])/32 + (37*t[52])/8 + (109*t[53])/16 + 
       (27*t[54])/4 - 3*t[59] + (69*t[60])/4 - 7*t[61] + (115*t[62])/16 + 
       (21*t[63])/16 - (135*t[64])/8 + (457*t[65])/24 - (197*t[66])/24 + 
       6*t[74] + 3*t[79] + 3*t[81] - 3*t[82] - (11*t[83])/2 + (13*t[84])/4 + 
       (29*t[85])/4 - 17*t[86] - (65*t[87])/4 - (65*t[88])/8 + (27*t[89])/8 - 
       12*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u]*
      ((-7*t[2])/8 - (157*t[3])/24 + (211*t[4])/48 - (13*t[5])/2 + 
       (31*t[6])/96 - (95*t[7])/24 + (19*t[8])/3 + (205*t[9])/12 + 
       (43*t[10])/32 + (15*t[11])/32 + (45*t[12])/32 + (5*t[13])/36 + 
       (6103*t[14])/576 - (1709*t[15])/288 - t[22]/2 - t[24]/3 - t[27]/2 + 
       (11*t[28])/3 - t[29]/6 - (47*t[30])/12 - 5*t[31] - (10*t[35])/3 + 
       (5*t[37])/6 + (4*t[39])/3 - (5*t[43])/3 - (13*t[44])/3 - 2*t[45] - 
       (19*t[46])/8 + 6*t[47] + (153*t[48])/32 + (5*t[49])/32 - 
       (29*t[50])/96 + (71*t[51])/192 + (29*t[52])/96 - (5*t[53])/32 + 
       (151*t[54])/96 + (5*t[59])/12 + (151*t[60])/48 + (7*t[61])/48 - 
       (1511*t[62])/96 + (681*t[63])/32 + (1589*t[64])/96 + (653*t[65])/72 - 
       (31*t[66])/8 - (4*t[72])/3 - (3*t[73])/4 - 2*t[74] - (7*t[75])/12 + 
       t[78]/3 - t[79] - t[81]/8 - (53*t[82])/24 + (53*t[83])/12 + 
       (19*t[84])/8 - (25*t[85])/16 + (29*t[86])/6 + (203*t[87])/48 + 
       (203*t[88])/96 + (739*t[89])/96 - (23*t[100])/2) + 
     HPL[{0, 1}, 1 - w]*M1[v, u, w]*((3*t[1])/4 + (23*t[2])/12 - 
       (11*t[3])/6 - (4*t[4])/3 - (8*t[5])/3 + (13*t[6])/4 + t[7]/2 + 
       (65*t[8])/6 + (2*t[9])/3 + (11*t[10])/4 + (11*t[11])/12 + t[12] - 
       (121*t[13])/72 + (185*t[14])/72 + t[15]/12 - t[20] + t[22] - 
       (2*t[25])/3 + (5*t[26])/6 + (2*t[27])/3 + (2*t[28])/3 + t[29]/3 - 
       t[30]/3 - (8*t[31])/3 - t[34]/6 - 2*t[35] - t[37] + t[39]/3 - 
       t[40]/3 + t[41]/12 - t[42]/12 - t[43]/3 - t[44]/3 + (2*t[46])/3 + 
       (15*t[48])/4 - (3*t[49])/4 - t[50]/4 - (19*t[51])/24 + (13*t[52])/12 + 
       (3*t[53])/4 + (3*t[54])/4 + t[58]/6 + (11*t[59])/12 - (13*t[60])/6 + 
       7*t[61] - (103*t[62])/24 - (67*t[63])/8 + (5*t[64])/3 + 
       (265*t[65])/36 - (35*t[66])/6 - t[69] + t[72] - (7*t[76])/6 - 
       t[77]/6 + (2*t[78])/3 + t[80] - (5*t[81])/6 - (7*t[82])/6 - 
       (3*t[83])/2 + (29*t[84])/12 + t[85]/12 + (8*t[86])/3 + (17*t[87])/4 + 
       (17*t[88])/8 + (5*t[89])/12 - t[97]/6 - 8*t[98] + 8*t[99] - 
       (23*t[100])/2) + HPL[{0, 1, 1}, 1 - u]*Omega2[v, w, u]*
      ((3*t[3])/2 - t[4] - t[5]/4 + t[6]/2 + (3*t[7])/2 - (3*t[8])/2 + 
       (9*t[9])/4 + t[10]/2 + (3*t[11])/2 - (3*t[12])/4 + t[13]/4 - 
       (47*t[14])/12 - (9*t[15])/8 + 2*t[29] + 5*t[61] - 6*t[62] + 3*t[65] - 
       3*t[66] + t[82] + 12*t[99] - (23*t[100])/2) + 
     HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w]*(t[1]/2 + (17*t[2])/2 + 
       (7*t[3])/4 + (95*t[4])/4 - (69*t[5])/8 + t[6]/4 + (15*t[7])/4 - 
       (23*t[8])/4 + (133*t[9])/8 + (177*t[10])/8 + 17*t[11] - (17*t[12])/2 + 
       (245*t[13])/18 + (371*t[14])/48 + (223*t[15])/48 - (4*t[19])/3 - 
       2*t[21] + 2*t[23] + 2*t[30] - t[37] - 2*t[39] - 2*t[41] + 2*t[42] + 
       (5*t[43])/2 - 2*t[44] - 2*t[47] - (13*t[48])/4 + (69*t[49])/8 + 
       (15*t[50])/4 - (21*t[51])/16 - (15*t[52])/4 - (69*t[53])/8 - 
       12*t[54] + (11*t[60])/4 + (41*t[61])/4 - (29*t[62])/4 - (31*t[63])/4 - 
       (441*t[64])/8 - (52*t[65])/3 - (419*t[66])/12 + 2*t[69] - t[72] - 
       2*t[75] - t[77]/2 - 4*t[79] + 4*t[80] + t[81] - 5*t[82] + 5*t[83] - 
       (9*t[84])/2 - 2*t[85] + 6*t[86] + 2*t[87] + t[88] - (45*t[89])/8 + 
       12*t[99] - (23*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - w]*((-37*t[1])/3 - (5*t[3])/2 - (1049*t[4])/12 - 
       5*t[5] + (133*t[6])/12 + (13*t[7])/4 + (131*t[8])/12 + (15*t[9])/2 - 
       (735*t[10])/8 + (93*t[11])/4 + (2197*t[12])/24 + (623*t[13])/54 - 
       (1997*t[14])/48 + (949*t[15])/72 + 15*t[26] + 4*t[27] + (4*t[28])/3 - 
       (4*t[35])/3 - (2*t[36])/3 + (7*t[37])/6 - 15*t[38] + (4*t[39])/3 - 
       (4*t[40])/3 - (4*t[45])/3 + (73*t[46])/3 + (8*t[47])/3 + 
       (29*t[48])/12 - (1753*t[49])/24 - (47*t[50])/12 + (487*t[51])/48 + 
       (47*t[52])/12 + (579*t[53])/8 + (68*t[54])/3 + (8*t[59])/9 - 
       (863*t[60])/12 - (121*t[61])/12 + (601*t[62])/24 - (703*t[63])/8 + 
       (3491*t[64])/24 + (841*t[65])/12 + (649*t[66])/12 + t[67]/6 + 
       (2*t[73])/3 - t[74] + (26*t[75])/3 - (26*t[76])/3 + t[77]/3 - 
       (4*t[79])/3 + (14*t[80])/3 - (32*t[81])/3 - (5*t[82])/3 - 
       (35*t[83])/2 - (83*t[84])/12 - (59*t[85])/12 + (43*t[86])/3 + 
       (563*t[87])/12 + (189*t[88])/8 + (683*t[89])/24 + 16*t[98] - 
       20*t[99] - (34*t[100])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((5*t[1])/12 + (3*t[2])/16 - 
       (7*t[3])/72 + (149*t[4])/144 - (29*t[5])/9 - (311*t[6])/96 + 
       (311*t[7])/72 - (245*t[8])/72 + (55*t[9])/48 + (385*t[10])/96 + 
       (2621*t[11])/288 + (1343*t[12])/288 + (289*t[13])/54 - 
       (2215*t[14])/576 + (5*t[15])/16 + (5*t[27])/9 - (10*t[28])/9 + 
       (4*t[29])/9 + (7*t[30])/18 + (7*t[31])/12 - t[35]/6 + (5*t[36])/3 - 
       t[37]/6 - (5*t[39])/9 + (5*t[43])/24 + (19*t[44])/18 + t[45]/2 + 
       (13*t[46])/6 - (3*t[47])/2 - (781*t[48])/288 - (269*t[49])/96 + 
       (251*t[50])/288 + (215*t[51])/576 - (251*t[52])/288 + (269*t[53])/96 - 
       (215*t[54])/96 + t[59]/6 - (25*t[60])/144 + (23*t[61])/16 - 
       (391*t[62])/96 - (5287*t[63])/288 - (715*t[64])/288 + (17*t[65])/27 - 
       (2575*t[66])/216 + (5*t[72])/9 + (65*t[73])/12 + (3*t[74])/4 - 
       3*t[75] - (7*t[78])/6 + t[79]/12 + (85*t[81])/72 - (125*t[82])/72 + 
       (95*t[83])/36 - (73*t[84])/72 + (289*t[85])/144 + (19*t[86])/6 - 
       (109*t[87])/144 - (109*t[88])/288 - (469*t[89])/288 + (19*t[98])/3 - 
       4*t[99] - (34*t[100])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((-7*t[1])/3 + (355*t[2])/48 - (185*t[3])/48 + 
       (79*t[4])/24 - (497*t[5])/96 - (1273*t[6])/144 + (355*t[7])/24 + 
       (385*t[8])/12 + (1493*t[9])/96 + (1811*t[10])/48 - (457*t[11])/48 - 
       (935*t[12])/96 + (10027*t[13])/864 - (73*t[14])/144 + 
       (2203*t[15])/576 + (7*t[18])/9 - (5*t[19])/3 + 4*t[21] + (2*t[22])/3 - 
       3*t[23] - (7*t[24])/3 - 2*t[28] - (22*t[31])/3 + t[32]/3 - 9*t[35] - 
       t[37]/2 - t[41] + (10*t[42])/9 - (143*t[43])/24 + 2*t[44] - 
       (167*t[45])/24 + t[46] + (45*t[47])/4 + (7*t[48])/2 + (61*t[49])/48 + 
       6*t[50] - (37*t[51])/96 - 6*t[52] - (61*t[53])/48 - (149*t[54])/24 - 
       (25*t[59])/9 - (287*t[60])/12 - (251*t[61])/24 - (317*t[62])/24 - 
       (62*t[63])/3 - (121*t[64])/4 + (2657*t[65])/72 + (61*t[66])/8 - 
       t[67]/2 - (13*t[69])/2 + 2*t[70] - 2*t[71] - t[72] - t[74] - 2*t[75] - 
       (5*t[77])/4 + (49*t[79])/24 + (157*t[80])/6 - (5*t[81])/2 - 
       (2*t[82])/3 + (115*t[83])/12 + (49*t[84])/24 - (331*t[85])/24 + 
       (215*t[86])/24 + (123*t[87])/8 + (123*t[88])/16 - 6*t[89] + 4*t[99] - 
       (45*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]^2*
      ((-3*t[2])/8 - t[3]/8 + (55*t[4])/32 - (7*t[5])/8 + (5*t[6])/2 - 
       t[7]/8 - t[8]/2 + (45*t[9])/16 + (255*t[10])/64 + (37*t[11])/8 + 
       (203*t[12])/64 + (773*t[13])/288 + (251*t[14])/128 + (35*t[15])/192 + 
       t[26]/4 + t[28]/2 - t[29]/2 + (3*t[30])/4 - t[31] - (5*t[35])/2 - 
       (5*t[36])/4 - t[37]/2 - t[38]/4 + t[39]/2 - t[40]/2 - t[43]/4 + 
       t[45]/2 + (5*t[46])/16 - t[47] - t[48]/8 - (55*t[49])/64 - 
       (3*t[50])/8 + (187*t[51])/128 + (3*t[52])/8 + (67*t[53])/64 + 
       (11*t[54])/32 + (5*t[59])/8 - (49*t[60])/32 + (73*t[61])/32 - 
       (81*t[62])/64 - (403*t[63])/64 + (307*t[64])/64 + (5*t[65])/32 - 
       (161*t[66])/32 + t[72] - (3*t[75])/2 + t[76] + t[77]/2 - (7*t[78])/2 + 
       3*t[79] - t[80] - t[81]/2 - t[82] - t[83]/4 - (5*t[84])/32 - 
       (41*t[85])/32 - t[86] - (59*t[87])/32 - (59*t[88])/64 + 
       (29*t[89])/64 + (9*t[98])/2 - (29*t[99])/6 - (87*t[100])/8) + 
     HPL[{1}, 1 - w]^2*Qep[u, w, v]*(4*t[2] + (32*t[3])/3 + (104*t[4])/3 + 
       (400*t[5])/9 + (544*t[6])/9 - 116*t[7] + (196*t[8])/9 - (908*t[9])/9 - 
       (104*t[10])/3 + (56*t[11])/9 - (272*t[12])/9 + (700*t[13])/27 - 
       (58*t[14])/27 + (478*t[15])/27 + (128*t[24])/9 + (128*t[31])/9 + 
       (64*t[43])/9 - (64*t[47])/3 + (112*t[48])/9 + (76*t[49])/9 - 
       (304*t[50])/9 - (38*t[51])/9 + (304*t[52])/9 - (76*t[53])/9 + 
       (8*t[54])/3 - (64*t[60])/3 + (400*t[61])/9 + (608*t[62])/9 + 
       (88*t[63])/3 + 44*t[64] - (1976*t[65])/27 - (976*t[66])/27 - 8*t[79] - 
       (128*t[83])/9 - (64*t[84])/9 + (64*t[85])/9 - (808*t[86])/9 + 
       (224*t[87])/9 + (112*t[88])/9 - (16*t[89])/3 - (32*t[100])/3) + 
     HPL[{1}, 1 - w]^2*Qep[w, u, v]*(8*t[2] - 4*t[4] + (160*t[5])/9 + 
       (184*t[6])/9 - (32*t[7])/3 + (376*t[8])/9 - (272*t[9])/9 - 
       (26*t[10])/3 - (76*t[11])/9 - (86*t[12])/9 - (320*t[13])/27 + 
       (23*t[14])/27 + (334*t[15])/27 + (32*t[24])/9 + (32*t[31])/9 + 
       (16*t[43])/9 - (32*t[47])/3 + (40*t[48])/9 - (50*t[49])/9 - 
       (88*t[50])/9 + (25*t[51])/9 + (88*t[52])/9 + (50*t[53])/9 + 
       (52*t[54])/3 - (16*t[60])/3 + (136*t[61])/9 + (62*t[62])/9 - 
       (10*t[63])/3 + 16*t[64] - (188*t[65])/27 + (644*t[66])/27 - 
       (32*t[79])/3 - (32*t[83])/9 - (16*t[84])/9 + (16*t[85])/9 - 
       (112*t[86])/9 + (80*t[87])/9 + (40*t[88])/9 - (8*t[89])/3 - 
       (32*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((-3*t[1])/8 + (3*t[2])/4 - (71*t[3])/48 + 
       (527*t[4])/48 - (205*t[5])/32 - (27*t[6])/32 + (23*t[7])/24 + 
       (185*t[8])/24 + (563*t[9])/96 - (947*t[10])/96 - (139*t[11])/96 - 
       t[12] + (235*t[13])/48 - (1307*t[14])/576 - (3299*t[15])/576 - 
       (9*t[31])/4 + t[35]/4 + t[37]/2 - (29*t[43])/12 - 2*t[44] - 2*t[45] - 
       (11*t[46])/4 + 6*t[47] - (11*t[48])/32 + (65*t[49])/96 + 
       (71*t[50])/96 + (91*t[51])/192 - (71*t[52])/96 - (65*t[53])/96 - 
       (73*t[54])/96 - t[59]/8 + (7*t[60])/2 - (11*t[61])/4 - 
       (233*t[62])/24 + (301*t[63])/48 + (529*t[64])/24 - (1339*t[65])/144 - 
       (91*t[66])/18 - t[73] - (5*t[74])/2 - 2*t[75] - 2*t[78] + 
       (17*t[79])/8 - (3*t[80])/4 - (17*t[81])/8 + (3*t[82])/8 + 
       (85*t[83])/12 - (37*t[84])/24 - (19*t[85])/48 + (175*t[86])/24 + 
       (263*t[87])/48 + (263*t[88])/96 + (73*t[89])/24 + 3*t[99] - 
       (125*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*(t[1]/2 - (37*t[2])/8 - (31*t[3])/48 - 
       (73*t[4])/24 + (19*t[5])/48 + (1003*t[6])/96 - (347*t[7])/24 + 
       (169*t[8])/8 + (29*t[9])/12 - (573*t[10])/16 + (425*t[11])/32 + 
       (95*t[12])/24 + (3727*t[13])/288 + (347*t[14])/72 - (1795*t[15])/288 - 
       t[17]/4 + 4*t[19] + 2*t[20] - 4*t[21] + 4*t[23] + (4*t[24])/3 - 
       t[25] - (5*t[27])/3 + (11*t[28])/6 - (13*t[29])/12 - (23*t[30])/3 + 
       t[31]/3 - (3*t[32])/2 + 3*t[34] + 15*t[35] - t[36]/2 - (11*t[37])/2 + 
       (7*t[39])/6 - 2*t[40] - t[41]/4 + t[42]/4 + (7*t[43])/24 - 
       (139*t[44])/24 - (59*t[45])/8 - (7*t[46])/4 + (49*t[47])/4 + 
       (215*t[48])/96 + (5*t[49])/48 - (79*t[50])/32 + (43*t[51])/32 + 
       (143*t[52])/32 - (5*t[53])/48 + (275*t[54])/32 - t[57] - t[59]/4 - 
       (103*t[60])/24 + (863*t[61])/48 - (451*t[62])/96 + (679*t[63])/96 + 
       (5431*t[64])/96 - (785*t[65])/48 - (16*t[66])/3 + t[68]/4 + 
       (7*t[69])/2 + (11*t[72])/6 - (7*t[73])/2 - (3*t[74])/4 + 
       (15*t[75])/4 - t[76] - t[77]/2 - (9*t[78])/2 - t[79]/4 + 
       (13*t[80])/4 - (19*t[81])/6 + (67*t[82])/12 + (27*t[83])/4 + 
       (7*t[84])/4 + (11*t[85])/6 - (49*t[86])/6 + (37*t[87])/24 + 
       (37*t[88])/48 + (25*t[89])/24 + t[97] + 2*t[98] - (7*t[99])/2 - 
       (83*t[100])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*((3*t[1])/4 + (13*t[2])/12 - (427*t[3])/144 + 
       (2255*t[4])/288 + (1339*t[5])/288 - (137*t[6])/24 + (787*t[7])/72 + 
       (359*t[8])/18 - (409*t[9])/96 - (113*t[10])/64 + (55*t[11])/18 - 
       (2695*t[12])/576 + (10853*t[13])/864 + (1339*t[14])/1152 - 
       (31*t[15])/144 + t[17]/4 - t[24]/3 - t[25]/12 + t[26]/6 + 
       (7*t[27])/36 - (41*t[28])/36 - (4*t[29])/9 + (25*t[30])/36 - 
       (5*t[31])/6 - t[34]/12 + (5*t[35])/4 + (3*t[36])/4 + t[37]/12 - 
       (17*t[39])/18 + t[40]/3 + t[41]/6 - t[42]/6 - (11*t[43])/8 - 
       (101*t[44])/36 - (5*t[45])/2 - (33*t[46])/8 + (15*t[47])/4 + 
       (43*t[48])/18 + (739*t[49])/192 + (71*t[50])/36 + (635*t[51])/1152 - 
       (14*t[52])/9 - (763*t[53])/192 - (313*t[54])/96 + t[58]/12 - 
       (3*t[59])/8 + (107*t[60])/288 + t[61]/96 - (1777*t[62])/192 - 
       (3097*t[63])/576 + (23447*t[64])/576 - (6595*t[65])/864 - 
       (10697*t[66])/864 - t[69] + (11*t[72])/18 - (13*t[73])/6 - t[74]/2 - 
       t[75]/3 - (43*t[76])/12 - t[77]/3 + (5*t[78])/12 + (3*t[79])/8 + 
       (7*t[80])/2 - (523*t[81])/72 + (293*t[82])/72 + (133*t[83])/36 + 
       (469*t[84])/288 + (787*t[85])/288 + (527*t[86])/24 + 
       (3647*t[87])/288 + (4223*t[88])/576 + (4253*t[89])/576 - (3*t[96])/4 - 
       (7*t[97])/12 - 17*t[98] + 24*t[99] - (61*t[100])/6) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((-49*t[1])/24 - (109*t[2])/72 + (229*t[3])/144 - (4223*t[4])/576 - 
       (17*t[5])/18 - (143*t[6])/16 + (49*t[7])/16 - (331*t[8])/144 + 
       (175*t[9])/144 - (3313*t[10])/384 - (4153*t[11])/288 + 
       (857*t[12])/128 + (905*t[13])/1728 - (62197*t[14])/6912 - 
       (7919*t[15])/3456 + t[19]/2 + t[21]/2 - t[23]/2 - (4*t[25])/9 - 
       (35*t[26])/72 + (11*t[27])/18 + (23*t[28])/18 - (11*t[29])/18 + 
       (13*t[30])/36 + (149*t[31])/36 + (11*t[34])/36 + (7*t[35])/4 - 
       (11*t[36])/6 + (35*t[37])/12 + (5*t[38])/8 + (17*t[39])/9 - 
       (25*t[40])/18 + (25*t[41])/72 - (25*t[42])/72 - (133*t[43])/72 + 
       t[44]/9 + (3*t[45])/2 + (85*t[46])/36 - 3*t[47] - (23*t[48])/8 - 
       (1771*t[49])/384 - (19*t[50])/8 + (5261*t[51])/2304 + (61*t[52])/72 + 
       (521*t[53])/128 + (1045*t[54])/192 - (11*t[58])/36 + (97*t[59])/144 + 
       (7331*t[60])/576 + (3265*t[61])/192 - (8285*t[62])/1152 - 
       (10105*t[63])/384 - (46621*t[64])/1152 - (4099*t[65])/1728 - 
       (1203*t[66])/64 - t[67]/8 - t[69]/2 + t[72]/3 + (17*t[74])/6 - 
       (7*t[75])/3 + (281*t[76])/36 + (119*t[77])/36 - (79*t[78])/18 - 
       (19*t[79])/12 + (41*t[80])/12 - (115*t[81])/72 + (41*t[82])/36 + 
       (43*t[83])/12 - (1115*t[84])/576 + (845*t[85])/576 - (47*t[86])/9 - 
       (1873*t[87])/192 - (1489*t[88])/384 + (3377*t[89])/1152 + 3*t[96] + 
       (83*t[97])/36 + (241*t[98])/6 - (235*t[99])/6 - (241*t[100])/24) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]^2*(-4*t[3] + t[5] - 2*t[7] + 
       6*t[8] - 3*t[9] + 2*t[10] - 2*t[11] - t[12] + (29*t[14])/3 + 
       (17*t[15])/6 - 4*t[29] - 8*t[60] - 2*t[61] + 8*t[62] - 2*t[64] + 
       (4*t[65])/3 + 4*t[66] - 2*t[82] + 4*t[83] + 4*t[87] + 2*t[88] - 
       16*t[99] - 10*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]^2*
      (-20*t[2] - 9*t[3] - 19*t[4] - 3*t[5] - (3*t[6])/2 - 10*t[7] + 6*t[8] - 
       21*t[9] - (45*t[10])/2 - (23*t[11])/2 + (27*t[12])/2 - 
       (251*t[13])/18 + (9*t[14])/4 - (31*t[15])/3 + (8*t[19])/3 + 4*t[21] - 
       4*t[23] - 4*t[30] + 4*t[35] + 4*t[39] + 4*t[41] - 4*t[42] - t[43] + 
       4*t[44] + 4*t[47] + (19*t[48])/2 - (23*t[49])/2 - (17*t[50])/2 + 
       (11*t[51])/4 + (17*t[52])/2 + (23*t[53])/2 + (39*t[54])/2 + t[60] - 
       t[61] + (17*t[62])/2 + (71*t[63])/2 + (209*t[64])/2 + (52*t[65])/3 + 
       (80*t[66])/3 - 4*t[69] + 2*t[72] + 4*t[75] + t[77] + 6*t[79] + 
       2*t[80] - 2*t[81] + 6*t[82] - 14*t[83] + 10*t[84] + t[85] - 16*t[86] - 
       5*t[87] - (5*t[88])/2 + (23*t[89])/2 - 16*t[99] - 10*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-19*t[1])/24 + (13*t[2])/16 - (161*t[3])/144 + (475*t[4])/72 - 
       (77*t[5])/12 - (83*t[6])/96 + (427*t[7])/144 - (635*t[8])/144 + 
       (805*t[9])/144 + (175*t[10])/72 + (2129*t[11])/288 - (37*t[12])/16 + 
       (5081*t[13])/864 + (5423*t[14])/864 + (71*t[15])/54 + t[19]/4 + 
       t[21]/4 - t[23]/4 + (3*t[25])/2 - t[26] + t[28]/4 - t[30]/4 + 
       (5*t[31])/6 + 2*t[35] - t[37]/4 - t[38]/2 + t[39]/4 + (7*t[43])/36 + 
       t[44] + t[45]/2 + (23*t[46])/24 - (9*t[47])/4 - (11*t[48])/32 + 
       (289*t[49])/144 + (137*t[50])/288 + (13*t[51])/144 - (137*t[52])/288 - 
       (289*t[53])/144 - (613*t[54])/288 + t[59]/3 + (83*t[60])/48 + 
       (39*t[61])/16 - (397*t[62])/144 - (1325*t[63])/144 - 
       (4931*t[64])/288 + (2129*t[65])/432 - (4769*t[66])/432 - t[69]/4 + 
       t[72]/4 + t[73] + (11*t[74])/12 + t[75]/4 + t[78]/2 - (61*t[79])/24 - 
       t[80]/4 + (37*t[81])/24 - (55*t[82])/24 - (139*t[83])/72 + 
       (65*t[84])/72 - (19*t[85])/144 + t[86]/72 - (313*t[87])/144 - 
       (313*t[88])/288 - (167*t[89])/288 + 3*t[99] - (119*t[100])/12) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      (-t[3] + 7*t[4] - (11*t[5])/4 + (87*t[6])/8 - (23*t[7])/2 - 
       (9*t[8])/2 - (9*t[9])/4 - 11*t[10] + (95*t[11])/8 + t[12] - 
       (19*t[13])/12 + (97*t[14])/12 + (27*t[15])/8 + 2*t[24] + 5*t[31] + 
       (9*t[43])/2 + (3*t[46])/2 - t[48]/8 - 3*t[49] - (49*t[50])/8 + 
       (3*t[51])/8 + (49*t[52])/8 + 3*t[53] + (25*t[54])/8 + (33*t[60])/4 + 
       (31*t[61])/4 + 15*t[62] + (19*t[63])/2 - (121*t[64])/8 + 
       (29*t[65])/12 - (89*t[66])/12 + 3*t[74] - 6*t[79] + (3*t[81])/2 - 
       (3*t[82])/2 - 6*t[83] + t[84] + (17*t[85])/4 - 27*t[86] - 
       (33*t[87])/4 - (33*t[88])/8 + (5*t[89])/8 - 9*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      (-2*t[99] - 9*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(-t[2]/4 + 2*t[3] - (47*t[4])/8 + (229*t[5])/12 + 
       (77*t[6])/6 - (175*t[7])/4 + (169*t[8])/12 - (199*t[9])/6 - 
       (125*t[10])/16 - (35*t[11])/24 - (191*t[12])/48 + (247*t[13])/24 - 
       (3011*t[14])/288 - (545*t[15])/144 + t[17]/2 + 2*t[18] + 2*t[19] + 
       2*t[21] - 2*t[23] + (14*t[24])/3 - (25*t[31])/3 + t[35] - t[37] + 
       2*t[41] - (3*t[42])/2 - (5*t[43])/3 - t[45] - (3*t[47])/2 + 
       (205*t[48])/12 - (41*t[49])/48 - (79*t[50])/12 + (119*t[51])/96 + 
       (79*t[52])/12 + (41*t[53])/48 + (73*t[54])/8 - 23*t[60] + 
       (175*t[61])/12 + (449*t[62])/48 + (269*t[63])/16 + (285*t[64])/4 - 
       (427*t[65])/72 + (277*t[66])/72 - 4*t[69] + t[75] + (13*t[79])/2 + 
       8*t[80] - t[81] + 2*t[82] - (32*t[83])/3 + (2*t[84])/3 - 
       (61*t[85])/6 - (73*t[86])/3 + (133*t[87])/6 + (133*t[88])/12 + 
       (11*t[89])/2 - 2*t[99] - 9*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*((-119*t[1])/16 - (29*t[2])/96 + 
       (5*t[3])/3 - (1035*t[4])/128 + (247*t[5])/192 - (61*t[6])/24 + 
       (35*t[7])/8 + (23*t[8])/12 - (361*t[9])/192 - (19757*t[10])/768 + 
       (1059*t[11])/64 + (20483*t[12])/768 + (14581*t[13])/3456 - 
       (71491*t[14])/4608 + (1373*t[15])/2304 - t[25]/6 + (349*t[26])/48 + 
       (7*t[27])/6 - (13*t[28])/6 - t[29]/6 + (5*t[30])/12 - (13*t[31])/6 + 
       t[34]/12 + (13*t[35])/12 + (43*t[36])/24 - t[37]/2 - (115*t[38])/16 - 
       2*t[39] + 2*t[40] - t[41]/24 + t[42]/24 - t[43]/12 + t[44]/6 - 
       (7*t[45])/6 + (1009*t[46])/96 + (7*t[47])/3 - (61*t[48])/96 - 
       (14303*t[49])/768 + (199*t[50])/96 - (2919*t[51])/512 - 
       (239*t[52])/96 + (13559*t[53])/768 - (3511*t[54])/384 - t[58]/12 + 
       (799*t[59])/288 + (899*t[60])/128 - (4811*t[61])/384 - 
       (4651*t[62])/768 - (34549*t[63])/768 + (20017*t[64])/768 + 
       (19015*t[65])/1152 + (40645*t[66])/1152 - 4*t[69] + 2*t[70] - 
       2*t[71] + (7*t[73])/3 - (79*t[74])/24 - (17*t[75])/12 - (7*t[76])/4 - 
       (7*t[77])/4 - (23*t[78])/6 - (5*t[79])/8 + (10*t[80])/3 - 
       (31*t[81])/16 + (3*t[82])/2 - (15*t[83])/4 + (1807*t[84])/384 + 
       (1775*t[85])/384 + (237*t[86])/8 + (2769*t[87])/128 + 
       (8371*t[88])/768 + (17971*t[89])/768 + t[97]/12 + (3*t[98])/2 - 
       (3*t[99])/2 - 9*t[100]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((211*t[1])/36 - (17*t[2])/3 - (853*t[3])/36 - 
       (1511*t[4])/36 + (2689*t[5])/48 + (3149*t[6])/96 + (877*t[7])/72 + 
       (4909*t[8])/72 - (6433*t[9])/144 + (3689*t[10])/72 + 
       (5803*t[11])/288 - (75*t[12])/4 + (13031*t[13])/432 + 
       (15167*t[14])/432 + (27859*t[15])/864 + 2*t[21] - 2*t[23] - 
       (19*t[31])/12 + t[37] - 4*t[40] + t[41] - t[42] + (1555*t[43])/72 + 
       (4*t[44])/3 + t[45]/6 - (29*t[46])/24 - (37*t[47])/3 + 
       (689*t[48])/96 + (487*t[49])/72 - (1565*t[50])/288 - (761*t[51])/288 + 
       (1565*t[52])/288 - (487*t[53])/72 + (901*t[54])/288 + (203*t[59])/36 + 
       (311*t[60])/48 + (4733*t[61])/48 - (4099*t[62])/72 + (86*t[63])/9 + 
       (10067*t[64])/288 + (589*t[65])/432 - (52189*t[66])/432 + t[67]/6 - 
       2*t[69] - 4*t[72] + (8*t[73])/3 - (15*t[74])/4 - (2*t[75])/3 + 
       (8*t[76])/3 + (52*t[77])/3 - (2*t[78])/3 + (13*t[79])/3 - 
       (140*t[80])/3 + (23*t[81])/8 - (29*t[82])/24 - (67*t[83])/9 - 
       t[84]/36 - (131*t[85])/144 + (37*t[86])/36 - (293*t[87])/144 - 
       (293*t[88])/288 + (4817*t[89])/288 + 16*t[98] - 20*t[99] - 
       (53*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((35*t[3])/8 + 10*t[4] - (307*t[5])/16 + 
       (105*t[6])/8 - (109*t[7])/8 - (83*t[8])/8 + (103*t[9])/16 - 
       (129*t[10])/8 - (269*t[11])/8 + (95*t[12])/16 - (377*t[13])/48 - 
       (305*t[14])/16 - (1261*t[15])/96 + 2*t[19] - 2*t[21] + 2*t[23] + 
       t[26] - 2*t[27] + 2*t[29] - 2*t[30] + 4*t[31] + 2*t[32] - 2*t[33] - 
       t[34] + 12*t[35] - 4*t[37] + 2*t[39] - 4*t[40] + (3*t[41])/2 - 
       (3*t[42])/2 - 3*t[43] - 6*t[45] + 2*t[47] + 6*t[48] - (17*t[49])/4 + 
       5*t[50] + (9*t[51])/8 + (17*t[53])/4 + (9*t[54])/2 + t[58] - t[59] - 
       (37*t[60])/2 - (143*t[61])/2 + (137*t[62])/2 - (59*t[63])/2 + 
       (3*t[64])/2 - (63*t[65])/4 + (195*t[66])/4 + 4*t[74] - 7*t[76] - 
       t[77] + 4*t[78] + t[80] - 5*t[81] + (13*t[82])/2 + (3*t[84])/2 - 
       (19*t[85])/2 - 17*t[86] + (35*t[87])/2 + (35*t[88])/4 + (19*t[89])/4 - 
       t[97] - 96*t[98] + 110*t[99] - (25*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^3*((13*t[1])/8 + (13*t[2])/8 - 
       (3*t[3])/32 + (5*t[4])/2 - (157*t[5])/64 + (235*t[6])/32 + 
       (123*t[7])/32 + (285*t[8])/32 + (357*t[9])/64 - (365*t[10])/32 + 
       (139*t[11])/32 - (79*t[12])/64 - (3323*t[13])/576 + (523*t[14])/192 - 
       (127*t[15])/384 + t[25]/2 + t[26]/2 - t[27] + 2*t[28] + t[29] - 
       t[30]/2 - 3*t[31] + t[32] - t[33] - t[34]/2 - 4*t[35] + (3*t[37])/2 - 
       t[38]/2 + 2*t[39] - 2*t[40] + t[41]/4 - t[42]/4 + (35*t[43])/16 - 
       t[44] - (3*t[45])/8 + t[46]/4 + (7*t[47])/4 + (83*t[48])/16 - 
       (27*t[49])/16 + (15*t[50])/16 + (13*t[51])/32 + (25*t[52])/16 + 
       (27*t[53])/16 + (43*t[54])/16 + t[58]/2 + (17*t[59])/8 + (5*t[60])/4 + 
       (55*t[61])/4 - (9*t[62])/4 - (45*t[63])/4 + (183*t[64])/16 - 
       (57*t[65])/16 - (123*t[66])/16 + (3*t[69])/2 - (7*t[76])/2 - 
       (3*t[77])/4 + 2*t[78] - (3*t[80])/4 - (31*t[82])/8 - (7*t[83])/4 + 
       (5*t[84])/2 - (23*t[85])/4 + (3*t[86])/4 + (21*t[87])/4 + 
       (21*t[88])/8 + (13*t[89])/8 - t[97]/2 - 21*t[98] + 19*t[99] - 
       (33*t[100])/4) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      ((17*t[1])/6 + (5*t[2])/3 + (3*t[3])/8 - (145*t[4])/12 - 
       (125*t[5])/48 + (187*t[6])/24 + (301*t[7])/24 + (199*t[8])/24 + 
       (389*t[9])/48 - (67*t[10])/6 + (167*t[11])/24 - (77*t[12])/48 - 
       (5365*t[13])/432 + 5*t[14] + (761*t[15])/288 + (2*t[26])/3 - 
       (4*t[27])/3 + (8*t[28])/3 + (4*t[29])/3 - (4*t[30])/3 - 2*t[31] + 
       (4*t[32])/3 - (4*t[33])/3 - (2*t[34])/3 - 4*t[35] + 2*t[37] + 
       (8*t[39])/3 - (8*t[40])/3 + t[41]/3 - t[42]/3 + (53*t[43])/12 + 
       (2*t[44])/3 + (2*t[45])/3 + 2*t[46] - 2*t[47] + (77*t[48])/12 - 
       (61*t[49])/24 + (5*t[50])/4 + t[51]/48 + (25*t[52])/12 + 
       (61*t[53])/24 + (25*t[54])/6 + (2*t[58])/3 + (5*t[59])/2 - t[60]/6 + 
       (23*t[61])/3 - (427*t[62])/24 - (493*t[63])/24 + (193*t[64])/4 - 
       t[65]/36 - (497*t[66])/36 + 2*t[69] + t[75] - (14*t[76])/3 - t[77] + 
       (8*t[78])/3 + (8*t[80])/3 + t[81]/2 - 7*t[82] - 6*t[83] + 
       (11*t[84])/4 - (47*t[85])/6 + 13*t[86] + (23*t[87])/3 + (23*t[88])/6 + 
       (19*t[89])/2 - (2*t[97])/3 - 32*t[98] + 32*t[99] - 8*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      ((-7*t[1])/4 + (3*t[2])/8 - (11*t[3])/8 + (27*t[4])/2 - (205*t[5])/48 + 
       (49*t[6])/24 - (51*t[7])/8 + (31*t[8])/24 + (293*t[9])/48 - 
       (127*t[10])/8 + (133*t[11])/12 - (223*t[12])/48 - (119*t[13])/144 + 
       (1243*t[14])/144 - (875*t[15])/288 - (3*t[21])/2 + (3*t[23])/2 + 
       (11*t[24])/6 - (2*t[31])/3 - 2*t[35] - (3*t[41])/4 + (3*t[42])/4 - 
       (7*t[43])/12 - t[45] + t[46]/2 + (3*t[47])/2 + (67*t[48])/24 + 
       (19*t[49])/6 - (55*t[50])/24 - (35*t[51])/24 + (55*t[52])/24 - 
       (19*t[53])/6 - (3*t[54])/8 - (7*t[59])/4 - t[60]/8 + (205*t[61])/24 - 
       (101*t[62])/48 + (287*t[63])/16 + (49*t[64])/16 - (355*t[65])/36 - 
       (517*t[66])/72 + (3*t[69])/2 - t[72] - t[74] + t[77]/2 - 5*t[79] + 
       4*t[80] + (3*t[81])/4 - (3*t[82])/4 - (49*t[83])/12 + (23*t[84])/24 - 
       (5*t[85])/6 - (35*t[86])/3 - (5*t[87])/12 - (5*t[88])/24 + 
       (61*t[89])/16 - (31*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((9*t[2])/4 - 4*t[3] + 10*t[4] - (5*t[5])/2 - 
       6*t[6] + 8*t[7] - (7*t[8])/2 - (21*t[9])/4 + 9*t[10] + (37*t[11])/2 + 
       (23*t[12])/4 + (65*t[13])/6 - (55*t[14])/8 + (59*t[15])/8 + 4*t[27] - 
       2*t[28] - 4*t[29] + 4*t[30] - 6*t[35] - t[39] + t[44] + (3*t[46])/2 - 
       (23*t[48])/2 - (9*t[49])/2 + (13*t[50])/2 + (11*t[51])/8 - 
       (13*t[52])/2 + (9*t[53])/2 - (9*t[54])/2 - 14*t[60] + 15*t[61] - 
       (9*t[62])/2 - (77*t[63])/2 + 2*t[64] - (100*t[65])/3 - (49*t[66])/3 + 
       t[72] + 3*t[73] - 15*t[75] - 9*t[78] - 2*t[81] - 2*t[82] + 22*t[83] - 
       7*t[84] + 2*t[85] + 13*t[87] + (13*t[88])/2 - 7*t[89] - 
       (15*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((13*t[1])/6 + (11*t[2])/6 + (15*t[3])/2 + 
       (137*t[4])/24 - (1117*t[5])/48 + (145*t[6])/12 + (41*t[7])/24 + 
       (95*t[8])/24 + (691*t[9])/48 - (1483*t[10])/48 - (287*t[11])/24 + 
       (187*t[12])/24 - (5471*t[13])/432 - (1193*t[14])/96 - 
       (4001*t[15])/288 + (4*t[26])/3 - (8*t[27])/3 - t[28]/6 + (8*t[29])/3 - 
       (5*t[30])/3 + t[31]/2 + (8*t[32])/3 - (8*t[33])/3 - (4*t[34])/3 + 
       4*t[35] + (7*t[39])/3 - (16*t[40])/3 + (2*t[41])/3 - (2*t[42])/3 - 
       (19*t[43])/6 + (5*t[44])/6 - (8*t[45])/3 - t[46]/4 + (15*t[47])/2 + 
       (127*t[48])/12 - (199*t[49])/48 + (17*t[50])/4 + (85*t[51])/96 + 
       (29*t[52])/12 + (199*t[53])/48 + (95*t[54])/24 + (4*t[58])/3 - 
       t[59]/2 - (77*t[60])/6 - (80*t[61])/3 + (203*t[62])/12 - 
       (499*t[63])/12 + (93*t[64])/4 + (367*t[65])/36 + (419*t[66])/36 - 
       (28*t[76])/3 - 3*t[77] + (16*t[78])/3 - (5*t[80])/3 - 4*t[81] + 
       (9*t[82])/2 + 2*t[84] - (26*t[85])/3 + 3*t[86] + (58*t[87])/3 + 
       (29*t[88])/3 + (23*t[89])/2 - (4*t[97])/3 - 88*t[98] + 95*t[99] - 
       (15*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((-17*t[1])/8 + (31*t[2])/3 - (421*t[3])/24 + 
       (433*t[4])/12 - (233*t[5])/12 + (2297*t[6])/48 - (265*t[7])/16 + 
       (1627*t[8])/48 - (17*t[9])/16 + (273*t[10])/16 + (211*t[11])/24 - 
       (377*t[12])/24 + (215*t[13])/32 + (433*t[14])/12 + (6401*t[15])/288 - 
       t[16] - t[17]/4 - t[18] - (3*t[19])/2 + t[20]/2 - (5*t[21])/2 + 
       (5*t[23])/2 + t[24]/3 + (25*t[25])/6 + (2*t[26])/3 - (13*t[27])/6 + 
       (29*t[28])/6 + (7*t[29])/6 - (14*t[30])/3 + (5*t[31])/2 - 
       (31*t[34])/12 - t[35] - t[36]/2 - t[37]/2 - (15*t[38])/4 + 
       (13*t[39])/6 - (11*t[40])/3 - (65*t[41])/24 + (53*t[42])/24 + 
       (63*t[43])/16 - (13*t[44])/6 + (97*t[45])/8 - (14*t[46])/3 - 
       (125*t[47])/4 + (149*t[48])/12 + (50*t[49])/3 + (7*t[50])/12 - 
       (43*t[51])/6 + (25*t[52])/3 - (103*t[53])/6 - (51*t[54])/4 + 
       (11*t[58])/6 + (11*t[59])/6 + (229*t[60])/24 + (1639*t[61])/24 + 
       (465*t[62])/8 - (117*t[63])/8 - (3109*t[64])/24 - (62*t[65])/9 - 
       (403*t[66])/18 + t[67]/4 + t[68] + 2*t[69] + t[70] - t[71] - 6*t[72] + 
       (11*t[74])/2 + 14*t[75] - (113*t[76])/6 - t[77]/3 + (197*t[78])/6 - 
       15*t[79] - 17*t[80] + (35*t[81])/6 - (61*t[82])/12 - (23*t[83])/6 + 
       (295*t[84])/24 - (103*t[85])/24 - (727*t[86])/12 + (233*t[87])/24 + 
       (233*t[88])/48 + (229*t[89])/48 + t[92]/4 - t[93] - t[94]/4 - 
       (13*t[97])/12 - 88*t[98] + 95*t[99] - (15*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[w, v, u]*(-t[3]/3 - (23*t[4])/12 + 
       (35*t[5])/12 - (3*t[6])/8 - (5*t[7])/6 + (5*t[8])/6 + (9*t[10])/8 - 
       (17*t[11])/24 + (13*t[12])/24 - (163*t[13])/72 + (29*t[14])/48 + 
       (11*t[15])/8 + t[27]/3 + (4*t[28])/3 - t[29]/3 - (2*t[30])/3 - 
       2*t[31] - 2*t[35] + t[37] + (2*t[39])/3 - (2*t[44])/3 + 
       (43*t[48])/24 - t[49]/8 + (7*t[50])/24 - (5*t[51])/48 - (7*t[52])/24 + 
       t[53]/8 + t[54]/8 + t[59]/2 - (11*t[60])/12 + (3*t[61])/4 + 
       (9*t[62])/8 + (121*t[63])/24 - (11*t[64])/24 + (145*t[65])/36 + 
       (113*t[66])/36 - (2*t[72])/3 + t[81]/3 - (2*t[82])/3 - (7*t[83])/6 + 
       (5*t[84])/12 - (25*t[85])/12 - t[86] + (7*t[87])/12 + (7*t[88])/24 - 
       (5*t[89])/24 - 7*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - v]*(-t[1]/2 - (17*t[2])/12 - (499*t[3])/24 + 
       (19*t[4])/24 + (159*t[5])/16 + (55*t[6])/12 - (511*t[7])/24 + 
       (3*t[8])/8 - (421*t[9])/48 + (21*t[10])/16 - (229*t[11])/24 + 
       (7*t[12])/6 + (1655*t[13])/144 + (513*t[14])/32 + (941*t[15])/288 + 
       (5*t[18])/2 + (21*t[20])/2 - (15*t[22])/2 - t[28]/2 - (11*t[29])/2 - 
       (13*t[30])/3 + 7*t[31] + t[32] + (2*t[33])/3 + (8*t[34])/3 + 
       (33*t[35])/2 - 4*t[36] - (3*t[37])/2 + t[41]/4 - t[42]/4 - 
       (73*t[44])/12 + 2*t[45] + t[46] - (11*t[47])/2 + (35*t[48])/8 + 
       (71*t[49])/48 - (311*t[50])/24 - (47*t[51])/96 + (311*t[52])/24 - 
       (71*t[53])/48 + 11*t[54] - (7*t[59])/6 + (1015*t[60])/24 + 
       (721*t[61])/24 + (1345*t[62])/48 - (845*t[63])/48 - (2539*t[64])/48 + 
       (977*t[65])/36 - (1699*t[66])/36 + (2*t[67])/3 - (3*t[69])/2 - 
       (3*t[70])/2 + (3*t[71])/2 - 4*t[73] - t[74]/3 + (15*t[75])/2 + t[76] + 
       4*t[77] + 6*t[78] + (5*t[79])/2 - (13*t[80])/2 + (59*t[81])/12 + 
       t[82]/12 - 11*t[83] + (163*t[84])/12 + (167*t[85])/24 - (89*t[86])/2 - 
       (667*t[87])/24 - (595*t[88])/48 + (731*t[89])/48 + t[95]/3 + 
       12*t[98] - 17*t[99] - 7*t[100]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1, 1}, 1 - u]*(t[1]/2 + (97*t[2])/18 - t[3]/3 - 
       (31*t[4])/18 - (325*t[5])/72 - (233*t[6])/24 + (395*t[7])/36 - 
       (103*t[8])/12 + (217*t[9])/36 + (377*t[10])/18 - (355*t[11])/36 - 
       (241*t[12])/72 - (21305*t[13])/1296 + (151*t[14])/72 - 
       (785*t[15])/432 + (22*t[18])/27 - (4*t[21])/9 + t[23]/3 - 
       (34*t[24])/9 - (10*t[31])/3 - (2*t[34])/9 - t[35] - t[38]/9 - 
       t[41]/4 - (31*t[42])/36 + (23*t[43])/12 + (14*t[45])/9 - 
       (19*t[46])/18 - (37*t[47])/9 + t[48] - (3*t[49])/2 + (38*t[50])/9 + 
       (23*t[51])/18 - 4*t[52] + (3*t[53])/2 + (23*t[54])/9 - (11*t[59])/36 + 
       (85*t[60])/18 - (181*t[61])/18 + (257*t[62])/72 + (739*t[63])/72 - 
       (2075*t[64])/72 + (55*t[65])/4 + (521*t[66])/18 - t[67]/6 - 
       (10*t[69])/3 + (20*t[70])/9 - (20*t[71])/9 + (20*t[74])/9 + t[76]/3 - 
       (2*t[78])/9 + (3*t[79])/2 - (184*t[80])/9 + (29*t[81])/18 - 
       (25*t[82])/18 + t[83]/3 + (17*t[84])/6 + (11*t[85])/12 - 
       (211*t[86])/18 - (161*t[87])/36 - (161*t[88])/72 + (625*t[89])/72 + 
       (8*t[98])/3 - (8*t[99])/3 - 7*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^3*(-2*t[98] + t[99] - (41*t[100])/6) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^3*((-43*t[1])/24 + (37*t[2])/12 + 
       (109*t[3])/96 + (599*t[4])/96 + (595*t[5])/96 - (301*t[6])/192 - 
       (749*t[7])/96 - (901*t[8])/96 - (1865*t[9])/96 + (2873*t[10])/192 - 
       (275*t[11])/64 - (1663*t[12])/192 - (9493*t[13])/1728 - 
       (2831*t[14])/1152 + (569*t[15])/192 + t[16]/6 - t[17]/12 - t[18] - 
       t[21] + (3*t[22])/2 + t[23] - (4*t[24])/3 + (4*t[25])/3 - t[26]/6 - 
       t[27]/2 - (5*t[28])/6 - (5*t[29])/8 + (11*t[30])/4 + (5*t[31])/6 - 
       t[32]/6 - t[33]/2 - (9*t[34])/4 + (5*t[35])/2 - (8*t[36])/3 + t[37] + 
       (23*t[40])/12 - (13*t[41])/24 + t[42]/24 + (33*t[43])/32 + 
       (35*t[44])/48 + (131*t[45])/48 - t[46]/2 - (47*t[47])/8 - 
       (113*t[48])/192 + (673*t[49])/192 + (115*t[50])/192 - 
       (467*t[51])/384 - (259*t[52])/192 - (721*t[53])/192 - 
       (181*t[54])/192 + t[56]/4 + t[57]/2 - t[58]/2 - (7*t[59])/24 - 
       (683*t[60])/96 - (857*t[61])/96 - (31*t[62])/64 - (155*t[63])/192 - 
       (937*t[64])/192 - (2041*t[65])/96 + (193*t[66])/32 - t[67]/12 - 
       t[68]/4 + t[70] - t[71] + t[72]/3 - (2*t[73])/3 + (20*t[74])/3 + 
       t[75]/6 - (3*t[76])/2 - (43*t[78])/12 + (3*t[79])/4 - (19*t[80])/3 - 
       3*t[81] + t[82]/3 + (11*t[83])/6 - (629*t[84])/96 - (277*t[85])/96 - 
       (7*t[86])/3 + (1061*t[87])/96 + (1061*t[88])/192 - (1129*t[89])/192 - 
       t[91]/72 - t[92]/12 - t[93]/6 + t[94]/12 - (3*t[97])/4 - 2*t[98] + 
       t[99] - (41*t[100])/6) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-127*t[1])/48 - (5*t[2])/6 + (379*t[3])/192 + 
       (1077*t[4])/64 + (77*t[5])/384 - (1127*t[6])/192 - (213*t[7])/64 - 
       (1021*t[8])/192 - (373*t[9])/384 + (1111*t[10])/128 + (85*t[11])/192 + 
       (355*t[12])/192 + (7859*t[13])/3456 + (12319*t[14])/2304 - 
       (15059*t[15])/2304 - t[25]/3 - (5*t[26])/8 + (2*t[27])/3 - 
       (7*t[28])/3 - (2*t[29])/3 + (7*t[30])/6 - (7*t[31])/3 - t[32]/3 + 
       t[33]/3 + t[34]/3 + t[36]/4 - t[37]/6 + (5*t[38])/8 - 2*t[39] + 
       2*t[40] - t[41]/6 + t[42]/6 - (149*t[43])/96 - t[44]/3 - 
       (23*t[45])/12 - (43*t[46])/16 + (9*t[47])/2 - (203*t[48])/48 + 
       (855*t[49])/128 + (23*t[50])/16 - (385*t[51])/768 - (149*t[52])/48 - 
       (783*t[53])/128 - (803*t[54])/192 - t[58]/3 + (23*t[59])/12 - 
       (67*t[60])/192 - (53*t[61])/64 - (5383*t[62])/384 + (8759*t[63])/384 - 
       (2833*t[64])/128 - (10511*t[65])/576 - (8903*t[66])/1728 - t[67]/12 + 
       (13*t[69])/6 - (7*t[70])/6 + (10*t[71])/9 - t[73]/4 - (41*t[74])/12 - 
       (15*t[75])/4 + (10*t[76])/3 - (17*t[77])/24 - (19*t[78])/3 - 
       (5*t[79])/12 + (23*t[80])/6 - (11*t[81])/12 + (13*t[82])/6 + 
       (157*t[83])/12 - (569*t[84])/192 + (153*t[85])/64 + (29*t[86])/2 - 
       (163*t[87])/64 - (163*t[88])/128 - (5113*t[89])/384 + t[97]/3 + 
       19*t[98] - 19*t[99] - (27*t[100])/4) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*(t[1]/2 - (77*t[2])/48 + 
       (11*t[3])/48 - (2597*t[4])/384 + (443*t[5])/576 - (71*t[6])/18 + 
       (39*t[7])/32 - (41*t[8])/288 - (313*t[9])/576 + (2687*t[10])/768 - 
       (719*t[11])/576 + (2933*t[12])/2304 - (9431*t[13])/3456 + 
       (6779*t[14])/13824 - (205*t[15])/6912 + t[19]/4 + t[21]/4 - t[23]/4 - 
       (2*t[24])/9 - t[25]/3 - t[26]/48 + t[27]/12 + t[28]/12 - t[29]/12 - 
       t[30]/24 - (14*t[31])/9 + t[34]/24 - (5*t[35])/4 - t[36]/4 - t[37]/2 + 
       (5*t[38])/16 + t[39]/6 + t[40]/12 + (11*t[41])/48 - (11*t[42])/48 - 
       (5*t[43])/18 + (7*t[44])/12 + t[45]/2 + (49*t[46])/48 - 
       (11*t[47])/12 + (529*t[48])/288 - (2545*t[49])/2304 + (17*t[50])/288 + 
       (1765*t[51])/4608 - (77*t[52])/288 + (2689*t[53])/2304 + 
       (473*t[54])/384 - t[58]/24 + (11*t[59])/96 - (101*t[60])/128 - 
       (2861*t[61])/1152 - (7601*t[62])/2304 + (563*t[63])/768 + 
       (3049*t[64])/768 + (18265*t[65])/3456 + (8987*t[66])/3456 - t[69]/4 + 
       t[72]/2 + (5*t[74])/8 + t[75]/4 + (19*t[76])/24 + t[77]/24 - 
       (7*t[78])/6 + (35*t[79])/16 + (7*t[80])/4 + (13*t[81])/48 + 
       (5*t[82])/12 - (59*t[83])/18 + (1673*t[84])/1152 - (2663*t[85])/1152 + 
       (763*t[86])/144 - (2599*t[87])/1152 - (2599*t[88])/2304 - 
       (1237*t[89])/768 + t[97]/24 + (11*t[98])/4 - (13*t[99])/4 - 
       (79*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      ((-7*t[2])/48 - (41*t[3])/16 + (43*t[4])/6 - (233*t[5])/96 + 
       (209*t[6])/96 - (7*t[7])/2 + (103*t[8])/24 - (19*t[9])/32 + 2*t[10] + 
       (493*t[11])/96 - (61*t[12])/96 + (523*t[13])/144 - t[14]/36 - 
       (563*t[15])/576 + t[18]/3 + t[24]/6 + t[27]/6 + (7*t[28])/24 - 
       t[29]/6 + (5*t[30])/12 - (35*t[31])/24 - t[32]/4 + t[33]/4 - 
       (53*t[35])/24 - t[36]/4 + (3*t[37])/4 - t[39]/6 + t[41]/8 - t[42]/8 - 
       (17*t[43])/48 - (13*t[44])/12 - t[45]/2 - t[46]/4 + (5*t[47])/4 + 
       (47*t[48])/32 + (5*t[49])/24 - (119*t[50])/96 - t[51]/8 + 
       (119*t[52])/96 - (5*t[53])/24 + (23*t[54])/96 + t[59]/4 - 
       (25*t[60])/24 + (31*t[61])/8 - (359*t[62])/96 - (281*t[63])/96 + 
       (649*t[64])/48 - (71*t[65])/12 - (815*t[66])/144 - (2*t[69])/3 + 
       (7*t[70])/24 - (7*t[71])/24 + t[72]/6 + t[73]/2 - t[74]/2 - 2*t[75] + 
       t[77]/8 - (3*t[78])/2 - (5*t[79])/12 - t[80]/2 - (5*t[81])/24 - 
       (4*t[82])/3 + (17*t[83])/12 - (7*t[84])/8 - (31*t[85])/48 - 
       (31*t[86])/24 + (185*t[87])/48 + (185*t[88])/96 + (31*t[89])/12 + 
       t[99]/2 - (25*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u]*((33*t[2])/16 + (3*t[3])/16 + (11*t[4])/8 - 
       (41*t[5])/16 + t[6]/4 + (105*t[7])/32 + (119*t[8])/32 + 
       (223*t[9])/32 - (109*t[10])/32 + (147*t[11])/32 - t[12]/4 + 
       (1867*t[13])/576 + (49*t[14])/24 - (301*t[15])/192 - t[19]/2 + 
       t[21]/2 - t[23]/2 + (3*t[28])/4 - t[30]/2 + t[31]/2 - t[37]/4 + 
       t[39]/2 - t[41]/8 + t[42]/8 + t[43]/32 - (3*t[44])/4 - (5*t[45])/16 - 
       (3*t[46])/8 + (15*t[47])/8 - (5*t[48])/32 + t[49] - (21*t[50])/32 - 
       (3*t[51])/32 + (21*t[52])/32 - t[53] - (35*t[54])/32 - t[59]/2 + 
       (11*t[60])/8 + (27*t[61])/4 - 11*t[62] - (19*t[63])/4 - (43*t[64])/8 + 
       (73*t[65])/24 - (337*t[66])/24 - t[69] - t[75]/2 - 2*t[79] + 
       (5*t[80])/2 + t[81]/4 - (5*t[82])/4 + 3*t[83] - t[84]/4 + 
       (17*t[85])/8 + (41*t[86])/4 - (5*t[87])/8 - (5*t[88])/16 + 
       (5*t[89])/16 + 2*t[99] - (149*t[100])/24) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (-t[3]/3 - (19*t[4])/6 + (59*t[5])/12 + (3*t[6])/2 - (11*t[7])/6 + 
       (29*t[8])/6 - (3*t[9])/4 + (5*t[10])/4 - (7*t[11])/3 - (11*t[12])/6 - 
       (109*t[13])/18 + (119*t[14])/24 + (13*t[15])/8 - (2*t[27])/3 + 
       (4*t[28])/3 - t[29]/3 - (2*t[30])/3 - 4*t[31] - 4*t[35] + 2*t[37] + 
       (2*t[39])/3 - (2*t[44])/3 + (31*t[48])/6 + t[49]/4 - (5*t[50])/6 - 
       (7*t[51])/24 + (5*t[52])/6 - t[53]/4 + t[54] + t[59] + (5*t[60])/6 + 
       (3*t[61])/2 + t[62] + (35*t[63])/3 - (25*t[64])/12 + (112*t[65])/9 + 
       (109*t[66])/18 - (2*t[72])/3 + 4*t[75] + 2*t[78] + (4*t[81])/3 - 
       (2*t[82])/3 - (17*t[83])/3 + (8*t[84])/3 - (13*t[85])/3 - 2*t[86] - 
       (2*t[87])/3 - t[88]/3 + (5*t[89])/12 - 6*t[100]) + 
     B10[v, w, u]*HPL[{1}, 1 - w]*(-t[3] + 2*t[4] - (11*t[5])/2 + 4*t[6] + 
       t[7] + 3*t[8] + (9*t[9])/2 - 2*t[10] + t[11] + t[12]/2 + (2*t[13])/3 + 
       (25*t[14])/6 - (11*t[15])/12 - 2*t[50] + 2*t[52] + 2*t[54] + 5*t[60] + 
       t[61] - (3*t[62])/2 - (5*t[63])/2 - (5*t[64])/2 + (7*t[65])/3 - 
       4*t[66] + 2*t[81] - 2*t[82] - 2*t[83] + t[84] + 2*t[85] - 4*t[87] - 
       2*t[88] + (3*t[89])/2 - 6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Omega2[w, u, v]*(t[1] - (2*t[3])/3 + (17*t[4])/12 - 
       (23*t[5])/12 - 10*t[6] + (163*t[7])/12 + (41*t[8])/12 - t[9] + 
       (17*t[10])/8 + t[11]/3 - (55*t[12])/24 + (319*t[13])/72 - 
       (45*t[14])/16 + (11*t[15])/8 + (2*t[27])/3 - (4*t[28])/3 - 
       (2*t[29])/3 + (2*t[30])/3 - t[31] - (2*t[39])/3 - t[43]/2 + 
       (5*t[44])/3 + t[45] - 3*t[47] - (5*t[48])/3 + (13*t[49])/8 + 
       (17*t[50])/6 - (19*t[51])/48 - (17*t[52])/6 - (13*t[53])/8 - 
       (7*t[54])/4 + t[59] - (35*t[60])/6 - (53*t[62])/8 - (481*t[63])/24 + 
       (7*t[64])/12 - (107*t[65])/18 - (50*t[66])/9 + (2*t[72])/3 - t[74] - 
       3*t[75] - t[78] + (3*t[79])/2 - (5*t[81])/6 + t[82]/6 + (13*t[83])/6 - 
       (11*t[84])/12 - (7*t[85])/6 + (35*t[86])/2 + (8*t[87])/3 + 
       (4*t[88])/3 - (8*t[89])/3 + 4*t[99] - 6*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      ((-25*t[1])/36 - t[2]/4 + (19*t[3])/36 + (139*t[4])/36 + (41*t[5])/16 + 
       (3211*t[6])/288 - (463*t[7])/36 - (32*t[8])/9 - (307*t[9])/48 - 
       (28*t[10])/9 + (99*t[11])/32 - (95*t[12])/72 + (2261*t[13])/648 + 
       (953*t[14])/432 + (541*t[15])/288 - (4*t[18])/9 + (2*t[21])/9 - 
       t[22]/3 - (7*t[23])/9 + (8*t[24])/9 + (25*t[31])/12 - t[34]/9 + 
       t[38]/18 + (7*t[41])/18 - (4*t[42])/9 + (7*t[43])/6 - (41*t[45])/36 + 
       (53*t[46])/72 - (5*t[47])/3 + (67*t[48])/288 - (19*t[49])/24 - 
       (941*t[50])/288 - (25*t[51])/288 + (877*t[52])/288 + (19*t[53])/24 + 
       (293*t[54])/288 + (13*t[59])/18 + (107*t[60])/48 + (523*t[61])/144 + 
       (1019*t[62])/72 + (79*t[63])/12 - (1681*t[64])/288 - (199*t[65])/48 - 
       (1741*t[66])/432 + (2*t[70])/9 - (2*t[71])/9 + (53*t[74])/36 + 
       (5*t[76])/18 - t[78]/9 - (4*t[79])/3 + t[80]/9 + (17*t[81])/24 - 
       (43*t[82])/72 - (3*t[83])/2 + (11*t[84])/36 + (107*t[85])/48 - 
       (203*t[86])/12 - (233*t[87])/144 - (233*t[88])/288 - t[89]/96 + 
       (4*t[98])/3 - (4*t[99])/3 - (35*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*((5*t[1])/8 - 2*t[2] + 
       (27*t[3])/8 + (25*t[4])/4 - (227*t[5])/16 - (79*t[6])/8 + 
       (79*t[7])/4 - 25*t[8] + (359*t[9])/16 - (69*t[10])/8 + (99*t[11])/8 + 
       (71*t[12])/16 + (367*t[13])/72 - (37*t[14])/4 + (685*t[15])/288 + 
       (5*t[27])/2 - 5*t[28] + 2*t[29] - 2*t[30] - (5*t[31])/2 + t[32] - 
       t[33] + 4*t[35] - 5*t[36] + (9*t[40])/4 - t[41] + t[42] - t[43]/2 + 
       10*t[44] + (11*t[45])/8 + (5*t[46])/2 - (7*t[47])/4 - (123*t[48])/8 - 
       (41*t[49])/8 + (83*t[50])/8 + (55*t[51])/16 - (83*t[52])/8 + 
       (41*t[53])/8 + (29*t[54])/8 - (3*t[59])/8 + t[60]/8 - (5*t[61])/2 - 
       (29*t[62])/16 - (31*t[63])/16 - (47*t[64])/16 + (43*t[65])/24 + 
       5*t[66] - (3*t[77])/4 - 2*t[80] - t[82]/8 + (11*t[86])/4 + t[89] + 
       12*t[98] - 30*t[99] - (11*t[100])/2) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((-31*t[1])/4 + (169*t[2])/4 - 
       (711*t[3])/16 - (867*t[4])/16 - (501*t[5])/16 - (2047*t[6])/32 + 
       (1281*t[7])/16 - (1341*t[8])/16 + (2103*t[9])/16 + (353*t[10])/32 - 
       (1507*t[11])/32 - (15*t[12])/32 - (22519*t[13])/288 + 
       (3595*t[14])/192 - (59*t[15])/288 + (3*t[16])/2 + (5*t[17])/4 - 
       4*t[18] - (31*t[19])/4 - 12*t[20] - (25*t[21])/2 + (19*t[22])/2 + 
       (25*t[23])/2 - (7*t[24])/2 - t[25] - (15*t[26])/8 - 3*t[27] - 
       10*t[28] + (29*t[29])/4 - (27*t[30])/2 + t[31] - (3*t[32])/2 - 
       14*t[33] + 2*t[34] - (25*t[35])/2 + 13*t[36] + (29*t[37])/4 - 
       (27*t[38])/4 + 7*t[39] - 10*t[40] - (5*t[41])/2 + t[42]/2 - 
       (23*t[43])/16 - (173*t[44])/8 + (15*t[45])/8 + (9*t[46])/2 + 
       (13*t[47])/4 - (887*t[48])/32 - (311*t[49])/32 + (1013*t[50])/32 - 
       (429*t[51])/64 - (261*t[52])/32 + (327*t[53])/32 - (59*t[54])/32 + 
       t[56] - t[57] - (7*t[58])/8 + (51*t[59])/8 + (485*t[60])/16 - 
       (1179*t[61])/16 - (2603*t[62])/32 + (1899*t[63])/32 + 
       (3143*t[64])/32 - (825*t[65])/16 + (747*t[66])/16 - t[67] - 5*t[68] + 
       4*t[70] - 4*t[71] - t[72]/2 - 18*t[75] + (57*t[76])/8 - 5*t[77] + 
       (81*t[78])/8 + 15*t[79] - 56*t[80] - (13*t[81])/4 - (19*t[82])/2 + 
       (91*t[83])/2 + (347*t[84])/16 + (259*t[85])/16 + (255*t[86])/2 - 
       (1095*t[87])/16 - (1095*t[88])/32 - (161*t[89])/32 + t[91]/12 - 
       t[92] + t[93] + t[94] + 4*t[97] + 12*t[98] - 30*t[99] - 
       (11*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-35*t[1])/3 - 2*t[2] - (29*t[3])/2 - 
       (47*t[4])/12 - (43*t[5])/12 + (65*t[6])/4 + (35*t[7])/4 + 
       (89*t[8])/12 + (241*t[9])/12 - (11*t[10])/12 - (3*t[11])/2 + 
       (91*t[12])/3 + (275*t[13])/12 + (721*t[14])/48 + (353*t[15])/24 + 
       (2*t[16])/3 - 2*t[20] - 2*t[21] + 2*t[23] + 8*t[25] + (2*t[26])/3 - 
       (2*t[27])/3 + (28*t[28])/3 + (2*t[29])/3 - (2*t[30])/3 + 2*t[31] - 
       14*t[35] + (8*t[36])/3 - (2*t[37])/3 - (26*t[38])/3 + (26*t[39])/3 - 
       8*t[40] - t[41] + t[42] + t[43]/3 + (4*t[44])/3 + 8*t[45] + 
       (25*t[46])/3 - 18*t[47] + (143*t[48])/12 - (157*t[49])/12 - 
       (31*t[50])/4 + (59*t[51])/48 + (23*t[52])/4 + (163*t[53])/12 + 
       (55*t[54])/6 + (26*t[59])/3 + (103*t[60])/6 + (313*t[61])/12 + 
       (1241*t[62])/24 - (677*t[63])/24 - (1559*t[64])/24 + (1999*t[65])/36 - 
       (1517*t[66])/36 - (2*t[67])/3 + 2*t[69] - 2*t[70] + 2*t[71] - 
       (2*t[72])/3 - 4*t[73] - (23*t[74])/3 + t[75] + 2*t[76] + 8*t[77] + 
       6*t[78] - t[79] - 13*t[80] + (32*t[81])/3 - 12*t[82] - (40*t[83])/3 + 
       (185*t[84])/12 - (17*t[85])/4 - (247*t[86])/3 - (127*t[87])/12 - 
       (103*t[88])/24 + (407*t[89])/12 - (4*t[95])/3 + 24*t[98] - 26*t[99] - 
       5*t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]^2*
      (-t[1]/48 - (11*t[2])/48 - (83*t[3])/64 - (133*t[4])/24 + 
       (1741*t[5])/384 - (623*t[6])/192 + (709*t[7])/192 - (233*t[8])/192 - 
       (2269*t[9])/384 + (2009*t[10])/192 + (647*t[11])/192 - 
       (929*t[12])/384 + (401*t[13])/3456 + (265*t[14])/128 + 
       (14423*t[15])/2304 - t[26]/6 + t[27]/3 - (2*t[28])/3 - t[29]/3 + 
       (5*t[30])/6 - t[32]/3 + t[33]/3 + t[34]/6 - (3*t[35])/2 + t[37]/2 - 
       (2*t[39])/3 + (2*t[40])/3 - t[41]/12 + t[42]/12 + (107*t[43])/96 + 
       (4*t[44])/3 + (53*t[45])/24 + (11*t[46])/8 - (23*t[47])/4 - 
       (23*t[48])/12 + (43*t[49])/96 + t[50]/2 - t[51]/192 - (4*t[52])/3 - 
       (43*t[53])/96 - (59*t[54])/48 - t[58]/6 + (9*t[59])/16 + 
       (35*t[60])/48 + (277*t[61])/48 - (851*t[62])/96 + (223*t[63])/96 - 
       (15*t[64])/32 + (329*t[65])/288 - (1085*t[66])/288 + t[69]/2 + 
       t[73]/4 - t[75]/4 + (7*t[76])/6 + (5*t[77])/8 - (2*t[78])/3 - 
       t[79]/2 - (11*t[80])/12 + (7*t[81])/8 - (17*t[82])/8 + (3*t[83])/2 - 
       (3*t[84])/8 - (11*t[85])/48 + (5*t[86])/2 - (5*t[87])/48 - 
       (5*t[88])/96 - (15*t[89])/32 + t[97]/6 + 11*t[98] - 11*t[99] - 
       5*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      (2*t[99] - 5*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      Omega2[w, u, v]*(-t[1]/2 + (25*t[2])/4 - (7*t[3])/4 + t[4] - 
       (23*t[5])/2 - (3*t[6])/8 - t[7]/2 + 6*t[8] + (33*t[9])/4 - 3*t[10] - 
       (45*t[11])/8 + 2*t[12] + (5*t[13])/24 + (253*t[14])/24 + 
       (13*t[15])/6 + t[19] + t[21] - t[23] - t[28] + t[30] + 2*t[31] - 
       t[37] - t[39] - 2*t[45] + t[47] - (17*t[48])/8 + t[49]/2 - 
       (5*t[50])/8 + (5*t[52])/8 - t[53]/2 + (13*t[54])/8 + (11*t[60])/4 + 
       (5*t[61])/4 - (25*t[62])/4 - (7*t[63])/4 - (151*t[64])/8 + 
       (67*t[65])/12 - (35*t[66])/4 - t[69] - t[72] + t[75] + 2*t[78] - 
       2*t[79] + 3*t[80] + (3*t[81])/2 - (5*t[82])/2 + (9*t[83])/2 + t[84] + 
       (11*t[85])/4 + 10*t[86] - (11*t[87])/4 - (11*t[88])/8 + (3*t[89])/8 + 
       2*t[99] - 5*t[100]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((10*t[1])/3 - t[3]/2 + (31*t[4])/48 - 
       (19*t[5])/24 + (13*t[6])/24 + (5*t[7])/24 - t[8]/8 + (2*t[9])/3 + 
       (749*t[10])/96 + (17*t[11])/24 - (871*t[12])/96 - (593*t[13])/432 + 
       (2021*t[14])/192 - (165*t[15])/32 - (10*t[26])/3 + t[28]/2 + 
       (2*t[31])/3 - t[35]/3 - (3*t[36])/2 + (10*t[38])/3 + t[39]/2 - 
       t[40]/2 + (2*t[45])/3 + (3*t[46])/4 - (4*t[47])/3 + t[48]/24 - 
       (115*t[49])/32 - (7*t[50])/24 - (419*t[51])/192 + (7*t[52])/24 + 
       (75*t[53])/32 - (77*t[54])/16 - (5*t[59])/3 + (319*t[60])/48 + 
       (803*t[61])/48 - (371*t[62])/32 + (241*t[63])/96 - (1357*t[64])/96 - 
       (667*t[65])/144 - (2825*t[66])/144 - t[69] - t[72]/2 + (7*t[73])/6 + 
       t[74] + (3*t[75])/2 - (17*t[76])/12 + t[77]/2 + (5*t[78])/6 - 
       (5*t[79])/6 - (4*t[80])/3 + t[81]/2 - t[82]/2 - (47*t[83])/6 + 
       (63*t[84])/16 + (59*t[85])/16 - (5*t[86])/2 + (127*t[87])/16 + 
       (361*t[88])/96 - (383*t[89])/96 - 2*t[98] + 2*t[99] - 5*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-215*t[1])/144 - (91*t[2])/144 + t[3]/64 - (223*t[4])/36 + 
       (1307*t[5])/1152 - (3217*t[6])/576 + (11075*t[7])/576 + 
       (5681*t[8])/576 + (11701*t[9])/1152 - (845*t[10])/576 + 
       (16393*t[11])/576 + (4673*t[12])/1152 + (108391*t[13])/10368 + 
       (12209*t[14])/1152 - (8735*t[15])/6912 - 2*t[19] + 2*t[21] - t[22]/2 - 
       2*t[23] + t[25] - (5*t[26])/18 + (5*t[27])/9 - (10*t[28])/9 - 
       (5*t[29])/9 - (11*t[30])/18 + (7*t[31])/3 - (19*t[32])/18 + 
       (19*t[33])/18 - (31*t[34])/18 - (19*t[35])/6 + (4*t[37])/3 - t[38]/2 - 
       (29*t[39])/18 + (85*t[40])/36 - (8*t[41])/9 + (8*t[42])/9 + 
       (85*t[43])/288 + (14*t[44])/9 + (247*t[45])/72 - (7*t[46])/24 + 
       (16*t[47])/3 - (119*t[48])/72 + (1163*t[49])/288 - (39*t[50])/8 - 
       (77*t[51])/576 + (143*t[52])/72 - (1163*t[53])/288 - (445*t[54])/144 - 
       (5*t[58])/18 - (79*t[59])/48 + (2239*t[60])/144 + (7457*t[61])/144 - 
       (19657*t[62])/288 - (2851*t[63])/288 + (985*t[64])/96 + 
       (17551*t[65])/864 - (57451*t[66])/864 - (8*t[69])/3 + (7*t[73])/12 - 
       4*t[74] - (13*t[75])/12 + (7*t[76])/36 - (7*t[77])/8 - t[78]/9 - 
       t[79] + (263*t[80])/36 + (21*t[81])/8 - (85*t[82])/24 + (13*t[83])/4 + 
       t[84]/3 + (1301*t[85])/144 + 35*t[86] - (1285*t[87])/144 - 
       (1285*t[88])/288 + (461*t[89])/96 + t[97]/36 + t[98]/3 + (5*t[99])/3 - 
       (29*t[100])/6) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-5*t[1])/12 + (3*t[2])/2 - (35*t[3])/36 + 
       (349*t[4])/18 + (233*t[5])/24 + (71*t[6])/48 - (11*t[7])/144 - 
       (371*t[8])/144 - (55*t[9])/72 - (1219*t[10])/144 + (1621*t[11])/144 + 
       (9*t[12])/4 + (485*t[13])/54 - (1195*t[14])/864 + (265*t[15])/432 + 
       t[25] - t[26] - (3*t[29])/2 - (31*t[31])/6 - 8*t[35] + 2*t[37] - 
       (35*t[43])/36 + (5*t[44])/4 - 2*t[45] - (79*t[46])/24 + 6*t[47] + 
       (17*t[48])/16 + (91*t[49])/36 + (337*t[50])/144 - (85*t[51])/288 - 
       (337*t[52])/144 - (91*t[53])/36 - (857*t[54])/144 + (7*t[59])/12 + 
       t[60]/24 + (111*t[61])/8 + (1031*t[62])/144 - (953*t[63])/144 + 
       (241*t[64])/18 - (5129*t[65])/216 - (1151*t[66])/108 + 7*t[73] - 
       (19*t[74])/12 - 2*t[75] - 2*t[78] + (95*t[79])/24 - (25*t[81])/12 + 
       (25*t[82])/12 + (7*t[83])/9 + (11*t[84])/18 - (281*t[85])/72 - 
       (563*t[86])/72 + (337*t[87])/72 + (337*t[88])/144 - (541*t[89])/144 - 
       4*t[99] - (14*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]^2*(-t[99] - (37*t[100])/8) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      ((5*t[1])/8 + (27*t[2])/16 - (41*t[3])/48 - (91*t[4])/12 + 
       (123*t[5])/32 + (67*t[6])/16 - (215*t[7])/48 - (5*t[8])/48 - 
       (139*t[9])/96 - (103*t[10])/48 + (511*t[11])/48 + (27*t[12])/32 - 
       (67*t[13])/16 + (289*t[14])/36 + (2749*t[15])/576 + (3*t[31])/4 - 
       (11*t[35])/4 - t[37]/4 + (47*t[43])/24 + t[44]/2 + t[45]/2 + 
       (25*t[46])/8 - (3*t[47])/2 + (7*t[48])/16 - (14*t[49])/3 - 
       (59*t[50])/48 - (13*t[51])/96 + (59*t[52])/48 + (14*t[53])/3 + 
       (169*t[54])/48 - t[59]/2 + (57*t[60])/16 + (101*t[61])/16 + 
       (607*t[62])/96 + (473*t[63])/96 - (1373*t[64])/96 + (1193*t[65])/144 + 
       (59*t[66])/18 - t[67]/8 + (23*t[74])/4 + t[75]/2 + t[78]/2 - 
       (13*t[79])/4 + (17*t[80])/4 + (5*t[81])/4 - t[82]/4 - (19*t[83])/6 + 
       (4*t[84])/3 + (19*t[85])/24 - (95*t[86])/6 - (95*t[87])/24 - 
       (95*t[88])/48 - (185*t[89])/96 - t[99] - (37*t[100])/8) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*(-7*t[1] - (57*t[2])/4 - 
       (3*t[3])/4 + (45*t[4])/2 - (29*t[5])/8 - (19*t[6])/2 - t[7] - 
       (69*t[8])/2 + (71*t[9])/8 - (179*t[10])/2 + (29*t[11])/2 + 
       (181*t[12])/8 + (51*t[13])/4 + (193*t[14])/12 - (239*t[15])/16 + 
       8*t[31] - (3*t[43])/2 - 8*t[46] - 4*t[48] + (81*t[49])/4 - 4*t[50] - 
       (33*t[51])/8 + 4*t[52] - (81*t[53])/4 - 35*t[54] - (5*t[59])/2 + 
       (35*t[60])/4 + (3*t[61])/4 + (113*t[62])/8 + (657*t[63])/8 + 
       (33*t[64])/8 - (437*t[65])/12 + (5*t[66])/3 - 16*t[74] - 
       (51*t[79])/2 - 6*t[80] + 8*t[85] + (5*t[86])/2 - 8*t[87] - 4*t[88] + 
       (47*t[89])/8 - (9*t[100])/2) + HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - w]*
      (t[3]/4 - (757*t[4])/48 + (5*t[5])/24 + (67*t[6])/48 + (23*t[7])/24 + 
       (9*t[8])/8 - (41*t[9])/24 + (661*t[10])/96 - (589*t[11])/48 - 
       (187*t[12])/96 - (3797*t[13])/432 + (1103*t[14])/192 - 
       (17*t[15])/288 - t[31]/3 - t[35]/3 - t[45]/3 - t[46]/2 + (2*t[47])/3 - 
       t[48]/48 - (115*t[49])/32 + (7*t[50])/48 - (293*t[51])/192 - 
       (7*t[52])/48 + (95*t[53])/32 + (65*t[54])/24 - (1427*t[60])/48 + 
       (317*t[61])/16 - (617*t[62])/96 + (2017*t[63])/96 + (1297*t[64])/96 + 
       (2435*t[65])/144 + (3017*t[66])/144 - t[69]/2 - t[72] + t[73]/6 - 
       t[74]/2 + (3*t[75])/2 - (13*t[76])/6 - (2*t[78])/3 + t[79]/6 + 
       (2*t[80])/3 - (43*t[81])/12 + t[82]/4 - (47*t[83])/12 - 
       (149*t[84])/48 - (143*t[85])/48 + (11*t[86])/2 + (755*t[87])/48 + 
       (253*t[88])/32 - (185*t[89])/96 + 4*t[98] - 5*t[99] - (35*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((11*t[1])/12 + (3*t[2])/16 - (59*t[3])/72 + (13*t[4])/144 - 
       (19*t[5])/24 - t[6]/32 + (17*t[7])/36 - (157*t[8])/36 - 
       (169*t[9])/144 + (887*t[10])/288 + (1921*t[11])/288 - (191*t[12])/96 + 
       (11*t[13])/27 - (4129*t[14])/1728 + (775*t[15])/216 + t[27]/3 - 
       (2*t[28])/3 - t[29]/3 + (5*t[30])/6 - t[31]/12 - (3*t[35])/2 - 
       t[39]/3 + (55*t[43])/72 + (5*t[44])/6 + t[45]/2 + (23*t[46])/12 - 
       (3*t[47])/2 - (107*t[48])/96 - (815*t[49])/288 + (295*t[50])/288 + 
       (683*t[51])/576 - (295*t[52])/288 + (815*t[53])/288 - 
       (353*t[54])/288 - (2*t[59])/3 - (79*t[60])/48 + (7*t[61])/16 - 
       (1177*t[62])/288 - (2291*t[63])/288 + (2957*t[64])/288 - 
       (251*t[65])/108 - (1019*t[66])/216 - t[67]/12 + t[72]/3 + 
       (3*t[73])/4 + (19*t[74])/12 - (3*t[75])/2 - (3*t[78])/2 - 
       (7*t[79])/12 - t[80]/2 - (5*t[81])/24 - (13*t[82])/8 + (2*t[83])/9 - 
       (101*t[84])/72 - (203*t[85])/144 - (49*t[86])/18 + (511*t[87])/144 + 
       (511*t[88])/288 + (875*t[89])/288 + 2*t[99] - (13*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*(t[13]/9 - t[14]/6 + 
       t[51]/6 - (5*t[59])/6 + t[62]/2 - t[63]/2 + t[64]/6 + (17*t[65])/3 - 
       (2*t[66])/9 - (10*t[88])/3 - 4*t[100]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w]*(-t[14]/12 + t[51]/12 + 
       (8*t[59])/3 + t[62]/6 - t[63]/6 - (8*t[65])/9 + (7*t[88])/12 - 
       4*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*
      (-t[3]/6 - (13*t[4])/12 + (16*t[5])/3 + (55*t[6])/12 - (20*t[7])/3 - 
       (11*t[8])/6 - (22*t[9])/3 - (23*t[10])/24 + 2*t[11] - (55*t[12])/24 + 
       (7*t[13])/9 + (253*t[14])/48 + (313*t[15])/72 + (2*t[24])/3 + 
       (5*t[31])/3 + (7*t[43])/6 + t[44] + t[45] + t[46] - 5*t[47] + 
       (13*t[48])/12 + (7*t[49])/24 - (9*t[50])/4 - (19*t[51])/48 + 
       (9*t[52])/4 - (7*t[53])/24 + t[54]/3 + t[60]/2 + (25*t[61])/3 + 
       (227*t[62])/24 + (149*t[63])/24 - (145*t[64])/12 - (7*t[65])/12 - 
       (13*t[66])/4 + t[74] + t[75] + t[78] - 3*t[79] + t[81] - 
       (13*t[83])/3 + t[84] + t[85]/2 - (32*t[86])/3 - (13*t[87])/6 - 
       (13*t[88])/12 - (25*t[89])/12 - 4*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*((29*t[1])/6 - t[2]/2 + 
       (143*t[4])/12 + 5*t[5] + (29*t[6])/3 - (21*t[7])/2 - t[8]/3 - 
       (61*t[9])/6 - (27*t[10])/8 + (37*t[11])/12 - (253*t[12])/24 + 
       9*t[13] - (371*t[14])/144 + (175*t[15])/72 + (4*t[24])/3 + 
       (4*t[31])/3 + (11*t[42])/6 + t[43]/2 - 3*t[47] + (2*t[48])/3 + 
       (13*t[49])/24 - (8*t[50])/3 - (13*t[51])/48 + (8*t[52])/3 - 
       (13*t[53])/24 + t[54]/4 + (2*t[59])/3 + (55*t[61])/6 + (59*t[62])/8 + 
       (95*t[63])/24 - (4*t[64])/3 - (91*t[65])/12 - (161*t[66])/36 - 
       2*t[79] - (4*t[83])/3 - (2*t[84])/3 + (2*t[85])/3 - (35*t[86])/3 + 
       (4*t[87])/3 + (2*t[88])/3 - (3*t[89])/2 - 4*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Ot[u, v, w]*((-4*t[3])/3 + (10*t[4])/3 - 
       (5*t[5])/4 + (37*t[6])/8 - (23*t[7])/6 - (23*t[8])/6 + (17*t[9])/12 - 
       (2*t[10])/3 + (115*t[11])/24 - (19*t[13])/36 + (179*t[14])/36 + 
       (85*t[15])/72 + t[31] + (7*t[43])/6 + t[46]/2 + t[48]/8 - 
       (4*t[49])/3 - (29*t[50])/24 + (7*t[51])/24 + (29*t[52])/24 + 
       (4*t[53])/3 + (13*t[54])/24 + (15*t[60])/4 + (21*t[61])/4 + 
       (16*t[62])/3 + (37*t[63])/6 - (205*t[64])/24 + (37*t[65])/36 - 
       (49*t[66])/36 + t[74] - 2*t[79] + t[81]/2 - t[82]/2 - (4*t[83])/3 + 
       (2*t[84])/3 + (13*t[85])/12 - (35*t[86])/3 - (29*t[87])/12 - 
       (29*t[88])/24 + (17*t[89])/24 - 4*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((5*t[1])/6 - (3*t[2])/8 - t[3]/12 - (67*t[4])/12 - (7*t[5])/12 + 
       (31*t[6])/24 - (47*t[7])/24 + (23*t[8])/24 + (35*t[9])/8 - 
       (31*t[10])/24 + (5*t[11])/24 - (29*t[12])/24 - (73*t[13])/24 + 
       (185*t[14])/72 - (17*t[15])/16 - (2*t[27])/3 + (4*t[28])/3 + 
       (2*t[29])/3 - (7*t[30])/6 + t[35] - t[37]/2 + (2*t[39])/3 - 
       (2*t[44])/3 + (5*t[46])/6 + (49*t[48])/24 - t[49] - (47*t[50])/24 - 
       (2*t[51])/3 + (47*t[52])/24 + t[53] + (15*t[54])/8 - (5*t[59])/6 + 
       (15*t[60])/4 - (9*t[61])/4 + (11*t[62])/24 + (71*t[63])/24 - 
       (17*t[64])/6 + (121*t[65])/12 + (31*t[66])/12 - t[67]/12 - 
       (2*t[72])/3 - t[73]/2 + (13*t[74])/6 + (5*t[75])/2 + (3*t[78])/2 + 
       (13*t[79])/12 + (5*t[81])/6 - (2*t[82])/3 - (14*t[83])/3 + 
       (23*t[84])/12 + (5*t[85])/12 - (9*t[86])/4 - (53*t[87])/12 - 
       (53*t[88])/24 + (49*t[89])/24 - 4*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      (-t[1]/96 - (11*t[2])/96 - (83*t[3])/128 - (109*t[4])/48 + 
       (1741*t[5])/768 - (623*t[6])/384 + (709*t[7])/384 - (233*t[8])/384 - 
       (2269*t[9])/768 + (2033*t[10])/384 + (551*t[11])/384 - 
       (977*t[12])/768 + (1841*t[13])/6912 + (787*t[14])/768 + 
       (14327*t[15])/4608 - t[26]/12 + t[27]/6 - t[28]/3 - t[29]/6 + 
       (5*t[30])/12 - t[32]/6 + t[33]/6 + t[34]/12 - (3*t[35])/4 + t[37]/4 - 
       t[39]/3 + t[40]/3 - t[41]/24 + t[42]/24 + (107*t[43])/192 + 
       (2*t[44])/3 + (53*t[45])/48 + (11*t[46])/16 - (23*t[47])/8 - 
       (23*t[48])/24 + (55*t[49])/192 + t[50]/4 + (59*t[51])/384 - 
       (2*t[52])/3 - (55*t[53])/192 - (59*t[54])/96 - t[58]/12 + 
       (9*t[59])/32 + (23*t[60])/96 + (481*t[61])/96 - (719*t[62])/192 + 
       (235*t[63])/192 - (363*t[64])/64 + (281*t[65])/576 - 
       (1709*t[66])/576 + t[69]/4 + t[73]/8 - (3*t[75])/8 + (7*t[76])/12 + 
       (5*t[77])/16 - t[78]/3 - t[79]/2 - (5*t[80])/24 + (7*t[81])/16 - 
       (17*t[82])/16 + 2*t[83] - (3*t[84])/16 - (11*t[85])/96 + t[86] + 
       (19*t[87])/96 + (19*t[88])/192 - (91*t[89])/64 + t[97]/12 + 
       (11*t[98])/2 - (11*t[99])/2 - (95*t[100])/24) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((3*t[3])/8 - (11*t[4])/12 - (9*t[5])/4 - (47*t[6])/16 + (8*t[7])/3 + 
       (7*t[8])/4 + (107*t[9])/24 + (5*t[10])/6 + (57*t[11])/16 + 
       (49*t[12])/12 + (137*t[13])/48 - t[14]/48 - (229*t[15])/72 + t[29] - 
       t[30] - t[31]/2 + (5*t[36])/6 - t[43]/3 + (5*t[46])/3 - (3*t[48])/16 - 
       (8*t[49])/3 - (77*t[50])/48 - (31*t[51])/24 + (77*t[52])/48 + 
       (8*t[53])/3 + (11*t[54])/16 + (13*t[60])/3 - (31*t[61])/8 - 
       (55*t[62])/12 - (13*t[63])/2 + (95*t[64])/48 + (21*t[65])/4 - 
       (679*t[66])/72 + 4*t[73] - t[74]/2 - t[75] + (17*t[79])/12 + 
       (5*t[81])/3 - (5*t[82])/3 - (11*t[83])/12 + (11*t[84])/24 + 
       (67*t[85])/24 + (19*t[86])/4 - (101*t[87])/24 - (101*t[88])/48 + 
       (77*t[89])/48 + 2*t[99] - (23*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((11*t[2])/3 - (13*t[3])/8 + (485*t[4])/24 - (65*t[5])/6 + 
       (17*t[6])/3 - (47*t[7])/6 + (23*t[8])/6 + (15*t[9])/2 - 
       (11*t[10])/16 + 5*t[11] - (103*t[12])/16 + (955*t[13])/144 + 
       (181*t[14])/288 - (29*t[15])/9 - (4*t[19])/3 + (2*t[21])/3 - 
       (2*t[23])/3 + (2*t[24])/3 + t[28]/2 - t[30] - (5*t[31])/6 - 
       (10*t[35])/3 + (2*t[37])/3 - t[41]/6 + t[42]/6 - (5*t[43])/12 - 
       (5*t[44])/2 - t[45] - t[46] + (11*t[47])/6 - (17*t[48])/8 + 
       (3*t[49])/16 - (29*t[50])/24 - (19*t[51])/32 + (29*t[52])/24 - 
       (3*t[53])/16 - (7*t[54])/3 + (10*t[60])/3 + t[61]/12 - (61*t[62])/16 - 
       (43*t[63])/16 + (23*t[64])/8 - (187*t[65])/24 - (853*t[66])/72 - 
       (2*t[69])/3 - 2*t[74] - (7*t[75])/2 - 2*t[78] - (5*t[79])/3 - 
       2*t[80] + t[81]/6 - (11*t[82])/3 + (31*t[83])/4 - (23*t[84])/12 + 
       (19*t[85])/6 - (7*t[86])/2 + (17*t[87])/6 + (17*t[88])/12 + 
       (77*t[89])/24 + 2*t[99] - (23*t[100])/6) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((1337*t[1])/288 - (53*t[2])/48 - (245*t[3])/384 - (331*t[4])/96 + 
       (9099*t[5])/256 + (8137*t[6])/384 - t[7]/128 + (10351*t[8])/384 - 
       (34217*t[9])/768 - (17645*t[10])/384 + (29*t[11])/128 - 
       (8771*t[12])/256 + (111601*t[13])/6912 - (14143*t[14])/768 + 
       (53923*t[15])/4608 + 2*t[21] - 2*t[23] - t[24]/6 - t[26]/12 + 
       t[27]/6 - t[28]/3 - t[29]/6 + t[30]/6 - (11*t[31])/3 - t[32]/6 + 
       t[33]/6 + t[34]/12 + t[35]/4 - t[37]/4 - t[39]/3 - (2*t[40])/3 - 
       (19*t[41])/8 + (19*t[42])/8 + (2395*t[43])/192 - (13*t[44])/6 - 
       (51*t[45])/8 - (49*t[46])/16 + (73*t[47])/12 + (87*t[48])/16 - 
       (161*t[49])/96 - (39*t[50])/16 + (211*t[51])/96 + (97*t[52])/48 + 
       (161*t[53])/96 + t[54]/4 - t[58]/12 - (299*t[59])/288 - 
       (335*t[60])/96 - (485*t[61])/32 - (27*t[62])/8 - (803*t[63])/24 + 
       (6459*t[64])/64 + (955*t[65])/576 - (175*t[66])/64 - (25*t[69])/4 + 
       2*t[70] - 2*t[71] - t[72] - (19*t[73])/24 - (13*t[74])/6 + t[75]/24 - 
       t[76]/12 + (17*t[77])/16 - t[78]/6 + (193*t[79])/48 + (187*t[80])/12 - 
       (65*t[81])/48 + (9*t[82])/4 + t[83]/3 - (91*t[84])/48 - 
       (437*t[85])/96 + (879*t[86])/16 + (567*t[87])/32 + (567*t[88])/64 + 
       (3953*t[89])/192 + t[97]/12 - (15*t[100])/4) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - u]*(t[1]/4 + (63*t[2])/16 + 
       (41*t[3])/48 + (259*t[4])/96 - (1193*t[5])/96 - (1219*t[6])/144 + 
       (45*t[7])/16 - (503*t[8])/24 + (191*t[9])/32 - (2171*t[10])/192 + 
       (1109*t[11])/96 + (549*t[12])/64 - (1169*t[13])/288 - 
       (253*t[14])/1152 - (1237*t[15])/144 + (7*t[18])/18 - t[22]/12 + 
       t[24]/4 + t[28]/4 + t[31] - t[35]/4 + (55*t[41])/24 - (8*t[42])/9 + 
       (67*t[43])/24 + (7*t[44])/12 + (113*t[45])/24 - t[46]/12 - 
       (17*t[47])/3 + (3*t[48])/8 - (257*t[49])/192 - (35*t[50])/24 + 
       (265*t[51])/384 + (35*t[52])/24 + (257*t[53])/192 + (197*t[54])/96 + 
       (8*t[59])/9 - (13*t[60])/24 + (1441*t[61])/48 - (1961*t[62])/192 + 
       (283*t[63])/64 + (187*t[64])/16 + (301*t[65])/288 - (8191*t[66])/288 - 
       (11*t[69])/6 + (3*t[70])/4 - (3*t[71])/4 - t[72] + (2*t[73])/3 + 
       t[74]/6 - t[75]/6 + (2*t[76])/3 + (13*t[77])/3 - t[78]/6 + 
       (5*t[79])/6 - (35*t[80])/3 + (11*t[81])/12 - t[82]/2 - (11*t[83])/4 + 
       (11*t[85])/24 - (187*t[86])/24 + (19*t[87])/8 + (19*t[88])/16 + 
       (299*t[89])/48 + 4*t[98] - 5*t[99] - (15*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
      ((-11*t[1])/12 + (79*t[2])/24 - (223*t[3])/48 + (55*t[4])/24 - 
       (403*t[5])/32 - (229*t[6])/288 + (41*t[7])/12 - (13*t[8])/24 + 
       (1223*t[9])/96 - (109*t[10])/6 + (265*t[11])/96 + (611*t[12])/96 - 
       (3565*t[13])/864 - (45*t[14])/16 - (5471*t[15])/576 + t[18]/36 - 
       t[20]/2 + t[22]/12 + t[24]/6 + (5*t[31])/12 - t[32]/2 - (5*t[34])/12 + 
       (55*t[41])/24 - (149*t[42])/72 + (97*t[43])/24 - t[44]/6 + t[45]/3 - 
       t[46]/12 + (19*t[47])/4 + (191*t[48])/96 - (71*t[49])/24 - 
       (241*t[50])/96 + (3*t[51])/2 + (241*t[52])/96 + (71*t[53])/24 + 
       (473*t[54])/96 - (7*t[59])/72 - (91*t[60])/48 - (181*t[61])/48 - 
       (21*t[62])/16 - (269*t[63])/16 + (5401*t[64])/96 - (149*t[65])/144 - 
       (517*t[66])/144 - 3*t[69] + t[70] - t[71] - t[72]/2 - t[73]/3 - 
       (5*t[74])/6 - t[75]/6 - t[76]/3 + t[77]/2 - t[78]/6 + (25*t[79])/24 + 
       (47*t[80])/6 - (17*t[81])/24 + (3*t[82])/8 - (13*t[84])/12 - 
       (115*t[85])/48 + (547*t[86])/24 + (523*t[87])/48 + (523*t[88])/96 + 
       (387*t[89])/32 - 2*t[98] + 2*t[99] - (7*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - w]*
      (t[10]/6 + t[11]/6 + t[12]/6 + t[13]/9 + t[14]/9 - t[15]/18 - t[49]/6 + 
       t[53]/6 + (31*t[59])/36 + t[60]/6 + t[61]/3 - t[62]/2 - t[63]/6 - 
       t[64]/2 - t[65]/6 + (2*t[66])/9 + t[84]/3 + t[88]/3 + t[89]/6 - 
       (10*t[100])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*(t[1]/6 + t[2]/12 + t[3]/12 + (5*t[4])/36 - 
       (7*t[5])/72 + t[6]/18 - (2*t[7])/9 - t[8]/9 + (5*t[9])/24 - 
       (7*t[10])/9 + (17*t[11])/9 + (35*t[12])/72 + (47*t[13])/81 - 
       (55*t[14])/144 - (17*t[15])/144 - (2*t[25])/9 + t[26]/18 - t[36]/9 - 
       (11*t[37])/9 + t[38]/6 + (7*t[46])/9 + t[48]/36 - (13*t[49])/12 + 
       (7*t[50])/36 - (11*t[51])/16 - t[52]/12 + (11*t[53])/12 - 
       (8*t[54])/9 - (11*t[59])/36 + (20*t[60])/9 - t[61]/12 + 
       (29*t[62])/36 - (43*t[63])/12 - (28*t[64])/9 + (3*t[65])/2 + 
       (5*t[66])/108 + (4*t[70])/9 - (4*t[71])/9 + t[74]/9 + (2*t[76])/9 - 
       t[77]/18 - t[78]/18 + t[80]/9 + t[81]/9 + t[82]/18 + (55*t[84])/36 + 
       (23*t[85])/18 - (19*t[87])/18 + (11*t[88])/18 + (95*t[89])/72 - 
       (2*t[95])/9 - t[97]/18 + (4*t[98])/3 - (4*t[99])/3 - (10*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-49*t[2])/4 - (65*t[3])/8 + (29*t[4])/2 - (37*t[5])/2 - (91*t[6])/4 + 
       53*t[7] - (123*t[8])/4 + (37*t[9])/2 + (27*t[10])/2 + (291*t[11])/8 + 
       (37*t[12])/4 + (391*t[13])/48 - (25*t[14])/12 + (151*t[15])/48 - 
       (5*t[18])/2 - 2*t[24] + t[27] - 8*t[28] - t[29] + 7*t[30] - 2*t[31] + 
       3*t[35] + (3*t[37])/2 - 4*t[39] + (3*t[41])/4 - (3*t[42])/4 - t[43] + 
       4*t[44] + (3*t[46])/2 + (9*t[47])/2 - (151*t[48])/8 - (5*t[49])/2 + 
       (147*t[50])/8 + (9*t[51])/8 - (147*t[52])/8 + (5*t[53])/2 - 
       (123*t[54])/8 + (19*t[60])/4 + (9*t[61])/4 - (89*t[62])/4 - 
       (235*t[63])/4 - (83*t[64])/8 - (139*t[65])/4 - (185*t[66])/12 + 
       5*t[69] - (9*t[70])/2 + (9*t[71])/2 + 4*t[72] + 3*t[73] - 
       (27*t[75])/2 - 9*t[78] - (3*t[79])/2 - (3*t[80])/2 - 2*t[81] - 
       2*t[82] + (75*t[83])/4 - (15*t[84])/2 - t[85]/2 + 22*t[86] - 4*t[87] - 
       2*t[88] - (89*t[89])/8 - 3*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*((-67*t[1])/18 - t[2]/6 + (4*t[3])/3 - 
       (203*t[4])/12 + (11*t[5])/2 + (167*t[6])/36 - (16*t[7])/3 - 
       (17*t[8])/6 - (13*t[9])/2 + (47*t[10])/8 - (4*t[11])/3 + 
       (173*t[12])/24 - (67*t[13])/12 + (1471*t[14])/144 + (335*t[15])/72 + 
       t[24]/3 + (7*t[31])/3 + (5*t[42])/18 + t[43]/3 + 2*t[44] + 2*t[45] + 
       2*t[46] - 7*t[47] + (11*t[48])/12 + t[49]/8 - (25*t[50])/12 - 
       (9*t[51])/16 + (25*t[52])/12 - t[53]/8 + (5*t[54])/6 + (4*t[59])/9 - 
       t[60]/2 + (8*t[61])/3 + (263*t[62])/24 + (27*t[63])/8 - (67*t[64])/4 + 
       (37*t[65])/4 - (55*t[66])/36 + 2*t[74] + 2*t[75] + 2*t[78] + 2*t[81] - 
       7*t[83] + (13*t[84])/6 + (5*t[85])/6 - 5*t[86] - (11*t[87])/2 - 
       (11*t[88])/4 - (43*t[89])/12 - 3*t[100]) + B6[u, w, v]*HPL[{1}, 1 - w]*
      ((3*t[2])/4 + (3*t[4])/4 - t[5]/2 + t[6]/2 + t[7]/2 + (3*t[8])/2 - 
       (11*t[9])/4 - (35*t[10])/8 + (15*t[11])/4 - (5*t[12])/8 + 
       (77*t[13])/36 + (49*t[14])/48 + t[15]/12 - t[46]/2 + (3*t[49])/8 + 
       (3*t[51])/16 - (3*t[53])/8 - (3*t[54])/4 + (5*t[61])/2 + (3*t[62])/8 - 
       (19*t[63])/8 + (3*t[64])/2 - (23*t[65])/12 - (55*t[66])/12 + t[72] + 
       t[74] - t[77]/2 - t[79] + 2*t[80] + t[86] - (3*t[89])/2 - 3*t[100]) + 
     B6[v, u, w]*HPL[{1}, 1 - w]*(t[1]/2 - (3*t[2])/4 - (3*t[3])/2 - 
       (3*t[5])/2 + t[6]/8 + (5*t[7])/2 - 4*t[8] + (13*t[9])/4 + 
       (11*t[10])/2 + (13*t[11])/8 - (11*t[13])/36 + (103*t[14])/24 + 
       (25*t[15])/24 - t[24] + t[45] - 3*t[47] - (7*t[48])/8 + (9*t[50])/8 - 
       (9*t[52])/8 - t[54]/8 + t[59]/2 + (17*t[60])/4 + (7*t[61])/4 + 
       (7*t[62])/4 + (7*t[63])/4 - (93*t[64])/8 + (7*t[65])/4 - 
       (5*t[66])/12 - 2*t[80] + t[81]/2 - t[82]/2 + t[84] + (3*t[85])/4 - 
       2*t[86] - (15*t[87])/4 - (15*t[88])/8 - (7*t[89])/8 - 3*t[100]) + 
     B5[v, w, u]*HPL[{1}, 1 - w]*(-t[1] - t[3] - t[5]/4 + (3*t[7])/2 + 
       t[8]/2 + (5*t[9])/4 - t[10] + t[11] + (11*t[12])/4 + t[13]/4 + 
       (3*t[14])/2 + (5*t[15])/8 + t[25] - t[38] - t[48]/2 - t[49]/2 + 
       t[50]/2 + t[51]/4 - t[52]/2 + t[53]/2 + t[54]/2 + t[59]/2 + t[60]/2 + 
       (7*t[61])/2 - (5*t[62])/4 + (5*t[63])/4 + t[64]/4 - t[65]/6 - 
       (5*t[66])/6 + t[83] - (3*t[89])/4 - 3*t[100]) + 
     B5[v, u, w]*HPL[{1}, 1 - w]*(t[1]/2 - (3*t[3])/2 - (3*t[5])/4 - t[6]/2 + 
       (7*t[7])/2 + (5*t[8])/2 + (15*t[9])/4 + (3*t[10])/2 + (7*t[11])/2 - 
       t[12]/4 + (5*t[13])/12 + (31*t[14])/12 + (5*t[15])/8 - t[24] - t[31] + 
       t[48] + t[50] - t[52] + t[59]/2 + t[60]/2 + (7*t[61])/2 - 
       (9*t[62])/4 + t[63]/4 - (3*t[64])/4 + (13*t[65])/6 - t[66]/2 + t[84] - 
       t[85] + 2*t[86] + t[89]/4 - 3*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*(-t[1] - (5*t[3])/2 + 
       10*t[4] - 3*t[5] + (93*t[6])/8 - 10*t[7] - 13*t[8] + 2*t[9] - 
       (7*t[10])/2 + (61*t[11])/8 - (3*t[12])/4 - (5*t[13])/6 + 
       (107*t[14])/12 + (8*t[15])/3 + 3*t[31] + (7*t[43])/2 + (3*t[46])/2 - 
       (15*t[48])/8 - 4*t[49] - (23*t[50])/8 + (7*t[51])/8 + (23*t[52])/8 + 
       4*t[53] + (7*t[54])/8 - 2*t[59] + (33*t[60])/4 + (39*t[61])/4 + 
       (61*t[62])/4 + (53*t[63])/4 - (169*t[64])/8 + (7*t[65])/12 - 
       t[66]/12 + 3*t[74] - 6*t[79] + (3*t[81])/2 - (3*t[82])/2 - t[83] + 
       t[84]/2 + (19*t[85])/4 - 29*t[86] - (23*t[87])/4 - (23*t[88])/8 + 
       (17*t[89])/8 - 3*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*(-t[1]/4 - t[3]/12 + (529*t[4])/48 + 
       (71*t[5])/48 + (175*t[6])/32 - (22*t[7])/3 - (47*t[8])/12 + 
       (145*t[9])/48 + (355*t[10])/96 - (79*t[11])/96 - (281*t[12])/96 + 
       (35*t[13])/48 + (139*t[14])/192 - (15*t[15])/8 - t[27]/3 + 
       (5*t[28])/3 + (4*t[29])/3 - (4*t[30])/3 + (5*t[31])/4 - t[35] - 
       (7*t[36])/3 + (4*t[39])/3 - t[40] + t[43]/8 - (5*t[44])/6 + t[45]/2 + 
       (23*t[46])/24 - t[47]/2 + (161*t[48])/96 + (269*t[49])/96 - 
       (77*t[50])/32 - (323*t[51])/192 + (77*t[52])/32 - (269*t[53])/96 - 
       (43*t[54])/96 - t[59]/4 + (85*t[60])/16 - (23*t[61])/48 + 
       (715*t[62])/96 + (3*t[63])/32 - (791*t[64])/96 - (719*t[65])/72 - 
       (43*t[66])/16 - t[72]/3 + (3*t[74])/4 + (3*t[75])/2 + t[77]/2 + 
       (3*t[78])/2 - (17*t[79])/12 - t[80] + (19*t[81])/8 - (37*t[82])/24 - 
       (7*t[83])/6 + 2*t[84] + (107*t[85])/48 - (35*t[86])/3 - 
       (97*t[87])/16 - (97*t[88])/32 + (29*t[89])/32 - (16*t[98])/3 + 
       (8*t[99])/3 - 3*t[100]) + B6[v, u, w]*HPL[{1}, 1 - u]*
      (-6*t[98] + 6*t[99] - 3*t[100]) + B6[v, w, u]*HPL[{1}, 1 - w]*
      (-t[1] - t[3] + (7*t[4])/4 + t[5]/2 - (13*t[6])/8 + (3*t[7])/2 - t[8] - 
       t[9]/2 - (19*t[10])/8 + (21*t[11])/8 + (11*t[12])/8 + (23*t[13])/12 - 
       (23*t[14])/16 + (17*t[15])/8 + t[25] - t[38] - t[46]/2 + (3*t[48])/8 + 
       (3*t[49])/8 + (11*t[50])/8 + (11*t[51])/16 - (11*t[52])/8 - 
       (3*t[53])/8 - (9*t[54])/8 + t[59]/2 - (5*t[60])/4 + (19*t[61])/4 + 
       (13*t[62])/8 - t[63]/8 + (5*t[64])/8 - (8*t[65])/3 + t[66]/6 - t[73] + 
       t[75] - t[76] + t[78] - t[81]/2 + (3*t[82])/2 + t[83] - (7*t[85])/4 + 
       (7*t[87])/4 + (7*t[88])/8 - (13*t[89])/8 - 6*t[98] + 6*t[99] - 
       3*t[100]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-15*t[1])/8 - t[2]/4 + (3*t[3])/8 - (11*t[4])/2 - (159*t[5])/16 + 
       (63*t[6])/8 - (89*t[7])/4 - (53*t[8])/4 - (577*t[9])/16 + 
       (569*t[10])/8 - (389*t[11])/8 + (287*t[12])/16 - (3035*t[13])/36 - 
       (71*t[14])/3 + (3013*t[15])/288 - 8*t[18] - 4*t[19] + t[20] - 
       7*t[21] + 3*t[22] + 7*t[23] - 11*t[24] - 2*t[25] + 5*t[26] + 
       (7*t[27])/2 - 7*t[28] + (5*t[31])/2 + 5*t[32] - 5*t[33] - 3*t[34] + 
       6*t[35] + 4*t[36] - 4*t[38] + 3*t[39] - (13*t[40])/4 - (5*t[41])/2 + 
       t[42] + (39*t[43])/4 + 4*t[44] + (57*t[45])/8 + (19*t[46])/2 - 
       (163*t[47])/4 - (3*t[48])/8 - (41*t[49])/8 + (51*t[50])/8 - 
       (205*t[51])/16 + (21*t[52])/8 + (73*t[53])/8 - (35*t[54])/8 - t[58] + 
       (71*t[59])/8 - (671*t[60])/8 - (495*t[61])/4 + (1543*t[62])/16 + 
       (997*t[63])/16 - (117*t[64])/16 - (2551*t[65])/24 + (373*t[66])/2 + 
       7*t[69] + 11*t[70] - 11*t[71] + 2*t[72] + 8*t[73] + 10*t[74] - 
       10*t[75] - (7*t[76])/2 + (21*t[77])/4 - (31*t[78])/2 + 10*t[79] - 
       57*t[80] - 12*t[81] + (83*t[82])/8 + t[83] - (81*t[84])/4 - 
       (71*t[85])/4 - (211*t[86])/4 + (141*t[87])/4 + (141*t[88])/8 - 
       24*t[89] + 6*t[96] + (7*t[97])/2 - 96*t[98] + 82*t[99] - 3*t[100]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*(-20*t[1] - (13*t[2])/4 - 
       (483*t[3])/16 + (769*t[4])/16 + (673*t[5])/16 + (857*t[6])/32 - 
       (1161*t[7])/16 + (149*t[8])/16 - (681*t[9])/16 + (69*t[10])/32 + 
       (65*t[11])/32 + (533*t[12])/32 + (21151*t[13])/288 + 
       (2647*t[14])/192 + (7025*t[15])/288 + t[16]/2 + (7*t[17])/4 - 
       6*t[18] + 6*t[19] + 14*t[20] - t[21]/2 - (23*t[22])/2 + t[23]/2 - 
       (3*t[24])/2 + 12*t[25] - (39*t[26])/8 - 9*t[27] + 3*t[28] + 
       (25*t[29])/4 + (29*t[30])/2 - 6*t[31] - (5*t[32])/2 + 9*t[33] - 
       (5*t[34])/2 - (11*t[35])/2 + 2*t[36] - (37*t[37])/4 - (63*t[38])/4 - 
       (27*t[39])/2 + 4*t[40] + (9*t[41])/4 - (21*t[42])/4 + (119*t[43])/16 - 
       (45*t[44])/8 - (3*t[45])/8 - (17*t[46])/2 - (65*t[47])/4 + 
       (533*t[48])/32 - (423*t[49])/32 - (175*t[50])/32 + (479*t[51])/64 + 
       (367*t[52])/32 - (57*t[53])/32 - (119*t[54])/32 - t[56] - t[57] - 
       (7*t[58])/8 + (87*t[59])/8 + (1313*t[60])/16 + (1537*t[61])/16 + 
       (101*t[62])/32 - (3797*t[63])/32 + (943*t[64])/32 - (2443*t[65])/48 - 
       (2659*t[66])/48 - t[67]/2 - 3*t[68] + 5*t[69] + 9*t[70] - 9*t[71] + 
       (7*t[72])/2 - 8*t[73] - 13*t[74] + 12*t[75] + (9*t[76])/8 + t[77] + 
       (241*t[78])/8 + (9*t[79])/2 + 6*t[80] - (23*t[81])/4 - (31*t[82])/2 - 
       (53*t[83])/2 + (303*t[84])/16 - (517*t[85])/16 - (145*t[86])/2 + 
       (153*t[87])/16 + (793*t[88])/32 + (1043*t[89])/32 + t[91]/12 - 
       t[92]/2 + t[93] + t[94]/2 - 10*t[95] - 2*t[96] + (9*t[97])/2 - 
       96*t[98] + 82*t[99] - 3*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((-13*t[1])/144 + (34*t[2])/9 - (39*t[3])/64 - 
       (71*t[4])/36 + (4735*t[5])/1152 - (731*t[6])/576 + (3607*t[7])/576 + 
       (3601*t[8])/576 + (6053*t[9])/1152 + (923*t[10])/576 + 
       (6599*t[11])/576 - (827*t[12])/1152 + (53039*t[13])/10368 + 
       (8017*t[14])/1152 + (19805*t[15])/6912 - t[19] + t[21] - t[23] - 
       (5*t[26])/36 + (5*t[27])/18 + (17*t[28])/18 - (5*t[29])/18 - 
       (11*t[30])/36 - t[31]/3 - (5*t[32])/18 + (5*t[33])/18 + (5*t[34])/36 - 
       (7*t[35])/3 + (2*t[37])/3 + (4*t[39])/9 + (5*t[40])/9 - 
       (23*t[41])/72 + (23*t[42])/72 + (173*t[43])/288 - (13*t[44])/18 + 
       (157*t[45])/144 - (5*t[46])/24 - (11*t[47])/24 - (103*t[48])/288 + 
       (667*t[49])/288 - (23*t[50])/32 - (385*t[51])/576 + (7*t[52])/288 - 
       (667*t[53])/288 - (1039*t[54])/288 - (5*t[58])/36 - (11*t[59])/48 + 
       (247*t[60])/72 + (1439*t[61])/72 - (3193*t[62])/144 + (13*t[63])/18 - 
       (151*t[64])/24 + (4307*t[65])/864 - (21035*t[66])/864 - (5*t[69])/6 + 
       t[73]/6 - t[74]/2 - (2*t[75])/3 + (35*t[76])/36 + (5*t[77])/8 - 
       (5*t[78])/9 - 2*t[79] + (37*t[80])/36 + t[81] - (53*t[82])/24 + 
       (11*t[83])/4 - t[84]/3 + (233*t[85])/72 + (47*t[86])/4 - 
       (211*t[87])/72 - (211*t[88])/144 - (49*t[89])/48 + (5*t[97])/36 + 
       (55*t[98])/6 - (43*t[99])/6 - (35*t[100])/12) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((3*t[2])/8 - (7*t[3])/8 + (5*t[4])/16 + (3*t[5])/4 - (19*t[6])/32 + 
       (7*t[7])/8 + t[8] - (3*t[9])/2 + (55*t[10])/32 + (63*t[11])/32 + 
       (9*t[12])/32 - (7*t[13])/24 + (89*t[14])/192 + (197*t[15])/96 + 
       t[27]/2 - t[29] + (3*t[30])/4 - t[31] - 2*t[35] + t[37]/2 + t[46]/8 - 
       (23*t[48])/32 - (23*t[49])/32 + (33*t[50])/32 + (17*t[51])/64 - 
       (33*t[52])/32 + (23*t[53])/32 - (11*t[54])/32 + t[59]/4 - 
       (43*t[60])/16 + (53*t[61])/16 - (17*t[62])/32 - (83*t[63])/32 - 
       (9*t[64])/32 - (53*t[65])/24 - t[66]/24 + t[73]/4 - (5*t[75])/4 - 
       t[78] - t[81]/8 - (3*t[82])/8 + (37*t[83])/12 - (5*t[84])/8 - 
       (17*t[85])/16 - t[86]/2 + (41*t[87])/16 + (41*t[88])/32 - 
       (39*t[89])/32 + t[99]/2 - (23*t[100])/8) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((-25*t[1])/72 + 
       (121*t[2])/18 + (61*t[3])/32 + (449*t[4])/36 - (10229*t[5])/576 + 
       (2161*t[6])/288 - (413*t[7])/288 + (805*t[8])/288 + (11369*t[9])/576 - 
       (4453*t[10])/288 - (1837*t[11])/288 + (625*t[12])/576 + 
       (59651*t[13])/5184 - (2735*t[14])/576 - (33055*t[15])/3456 + 
       (7*t[26])/18 - (7*t[27])/9 + (5*t[28])/9 + (7*t[29])/9 - 
       (35*t[30])/18 + (16*t[31])/3 + (7*t[32])/9 - (7*t[33])/9 - 
       (7*t[34])/18 + (34*t[35])/3 - (14*t[37])/3 + (14*t[39])/9 - 
       (14*t[40])/9 + (25*t[41])/36 - (25*t[42])/36 - (235*t[43])/144 - 
       (16*t[44])/9 - (299*t[45])/72 - (11*t[46])/12 + (25*t[47])/12 - 
       (43*t[48])/144 + (157*t[49])/144 + (21*t[50])/16 + (161*t[51])/288 + 
       (91*t[52])/144 - (157*t[53])/144 - (295*t[54])/144 + (7*t[58])/18 - 
       (47*t[59])/24 - (227*t[60])/36 - (931*t[61])/36 + (989*t[62])/72 - 
       (1187*t[63])/36 - (385*t[64])/12 - (1105*t[65])/432 - 
       (6479*t[66])/432 - (11*t[69])/3 + t[73]/3 + 4*t[74] - (7*t[75])/3 - 
       (49*t[76])/18 + t[77]/4 + (14*t[78])/9 - 8*t[79] + (229*t[80])/18 - 
       2*t[81] - (11*t[82])/12 + (23*t[83])/2 - t[84]/6 + (95*t[85])/36 + 
       (41*t[86])/2 + (227*t[87])/36 + (227*t[88])/72 + (41*t[89])/24 - 
       (7*t[97])/18 - (77*t[98])/3 + (101*t[99])/3 - (17*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4*
      ((-5*t[2])/8 - (79*t[3])/96 + (97*t[4])/48 - (29*t[5])/24 + 
       (29*t[6])/192 + (13*t[7])/96 - (77*t[8])/96 + (29*t[9])/48 + 
       (77*t[10])/48 + (395*t[11])/192 + (5*t[12])/12 + (1705*t[13])/1728 + 
       (131*t[14])/288 - (107*t[15])/576 + t[24]/12 + t[27]/12 - t[28]/24 - 
       t[29]/12 + (5*t[30])/24 - (13*t[31])/24 - (5*t[35])/4 + (3*t[37])/8 - 
       t[39]/12 + t[41]/16 - t[42]/16 - (11*t[43])/48 + t[44]/24 - t[45]/6 + 
       t[46]/6 + t[47]/24 - (53*t[48])/192 + (7*t[49])/32 + (47*t[50])/192 - 
       (37*t[51])/192 - (47*t[52])/192 - (7*t[53])/32 - (131*t[54])/192 + 
       t[59]/8 + (7*t[60])/96 + (193*t[61])/96 - (31*t[62])/32 - 
       (83*t[63])/96 + (419*t[64])/192 - (593*t[65])/288 - (709*t[66])/288 + 
       t[72]/12 + t[73]/3 - t[74]/4 - (11*t[75])/12 + t[76]/12 - 
       (2*t[78])/3 - (17*t[79])/48 - (7*t[80])/24 + (7*t[81])/48 - 
       (11*t[82])/16 + (23*t[83])/48 - (3*t[84])/16 - (17*t[85])/96 - 
       (29*t[86])/48 + (11*t[87])/32 + (11*t[88])/64 - t[89]/192 + t[98]/2 - 
       t[99]/2 - (11*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]^2*
      (8*t[98] - 9*t[99] - (53*t[100])/24) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^3*((47*t[1])/24 - (32*t[2])/3 + (889*t[3])/96 - 
       (113*t[4])/96 + (713*t[5])/96 - (1493*t[6])/192 - (109*t[7])/96 - 
       (469*t[8])/96 - (1039*t[9])/96 - (21*t[10])/64 + (2231*t[11])/192 + 
       (551*t[12])/64 + (23515*t[13])/1728 - (11783*t[14])/1152 - 
       (3659*t[15])/576 + t[16]/12 + t[18] + (3*t[19])/2 + (13*t[20])/6 + 
       (5*t[21])/2 - (5*t[22])/2 - (5*t[23])/2 - (2*t[24])/3 - t[25] + 
       t[26]/6 + t[27] - t[28]/2 - (43*t[29])/24 + (35*t[30])/12 - t[31]/3 - 
       t[32]/6 + (11*t[33])/6 + t[34]/12 - t[35]/2 - (11*t[36])/6 - t[37] + 
       (13*t[38])/6 - 2*t[39] + (31*t[40])/12 + (9*t[41])/8 - (5*t[42])/8 - 
       (19*t[43])/32 + (139*t[44])/48 - (43*t[45])/16 - t[46]/2 + 
       (203*t[47])/24 - (347*t[48])/64 - (583*t[49])/192 - (159*t[50])/64 + 
       (1757*t[51])/384 - (241*t[52])/64 + (583*t[53])/192 + (73*t[54])/64 - 
       t[56]/4 + t[57]/2 - t[58]/3 - (13*t[59])/8 - (143*t[60])/96 - 
       (431*t[61])/32 - (3305*t[62])/192 - (3551*t[63])/192 + 
       (1873*t[64])/64 - (65*t[65])/96 - (1829*t[66])/96 + t[67]/12 + 
       t[68]/4 - t[69]/2 - t[70] + t[71] + (7*t[72])/3 + (2*t[73])/3 - 
       (11*t[74])/6 - (14*t[75])/3 + 4*t[76] + t[77]/3 - (155*t[78])/12 + 
       (23*t[79])/4 + (59*t[80])/6 - t[81]/12 + (17*t[82])/12 + 
       (7*t[83])/12 - (279*t[84])/32 - (3*t[85])/32 + (29*t[86])/2 + 
       (161*t[87])/96 + (161*t[88])/192 - (127*t[89])/64 - t[91]/72 + 
       t[92]/12 + t[93]/6 - t[94]/12 - (5*t[97])/12 + 24*t[98] - 23*t[99] - 
       (13*t[100])/6) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^3*
      ((-2*t[1])/3 - t[2]/12 - (7*t[3])/2 - (17*t[4])/24 + (259*t[5])/48 - 
       (139*t[6])/48 - (23*t[7])/24 + (55*t[8])/24 - (403*t[9])/48 + 
       (775*t[10])/48 + (151*t[11])/48 - (73*t[12])/24 + (1811*t[13])/432 + 
       (413*t[14])/96 + (637*t[15])/96 - t[26]/3 + (2*t[27])/3 - 
       (4*t[28])/3 - (2*t[29])/3 + (5*t[30])/3 - (2*t[32])/3 + (2*t[33])/3 + 
       t[34]/3 - 2*t[35] - (4*t[39])/3 + (11*t[40])/6 - t[41]/6 + t[42]/6 + 
       (5*t[43])/12 + t[44]/6 + (29*t[45])/12 + t[46]/2 - (11*t[47])/2 - 
       (187*t[48])/48 + (31*t[49])/48 - (9*t[50])/16 - (19*t[51])/96 - 
       (53*t[52])/48 - (31*t[53])/48 - (55*t[54])/48 - t[58]/3 + 
       (13*t[60])/3 + (43*t[61])/6 - (13*t[62])/6 + (139*t[63])/12 - 
       14*t[64] - (67*t[65])/36 - (29*t[66])/36 + (7*t[76])/3 - (4*t[78])/3 - 
       (10*t[80])/3 + t[81] - (3*t[82])/2 - t[84]/2 + (13*t[85])/6 - 
       7*t[86] - (29*t[87])/6 - (29*t[88])/12 - 2*t[89] + t[97]/3 + 
       24*t[98] - 23*t[99] - (13*t[100])/6) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*((-11*t[2])/8 - (43*t[3])/48 - 
       (137*t[4])/192 + (19*t[5])/96 - (5*t[6])/3 + (69*t[7])/16 - 
       (107*t[8])/48 - (9*t[9])/8 + (2635*t[10])/384 + (221*t[11])/96 + 
       (619*t[12])/384 - (31*t[13])/576 + (157*t[14])/2304 + 
       (1067*t[15])/384 - t[24]/4 + t[26]/8 + (2*t[27])/3 - (7*t[28])/12 - 
       (23*t[29])/12 + (59*t[30])/24 - t[31]/12 - (8*t[35])/3 - (7*t[36])/8 + 
       t[37]/6 - t[38]/8 - t[40]/2 + t[41]/8 - t[42]/8 + t[43]/8 - t[44]/12 + 
       t[45] + (29*t[46])/32 - (7*t[47])/4 - (7*t[48])/3 - (563*t[49])/384 + 
       (41*t[50])/24 + (1007*t[51])/768 - (41*t[52])/24 + (599*t[53])/384 - 
       (13*t[54])/192 + (19*t[59])/48 - (443*t[60])/192 + (311*t[61])/192 + 
       (1339*t[62])/384 - (4759*t[63])/384 - (1375*t[64])/384 - 
       (1261*t[65])/576 + (809*t[66])/576 + t[72] + (3*t[74])/4 + t[75]/12 + 
       t[76]/2 + t[77]/2 - (17*t[78])/6 + (41*t[79])/24 - (5*t[80])/4 - 
       (11*t[81])/24 - (5*t[82])/24 + (17*t[83])/8 - (101*t[84])/64 - 
       (319*t[85])/192 - (43*t[86])/12 - (205*t[87])/192 - (205*t[88])/384 - 
       (99*t[89])/128 + (11*t[98])/12 - t[99]/4 - (25*t[100])/12) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      (-t[1]/2 + t[3]/3 - (7*t[4])/3 - t[5]/2 - (3*t[6])/2 + (4*t[7])/3 + 
       (10*t[8])/3 + (5*t[9])/6 + (5*t[10])/3 + (5*t[11])/6 + t[12] - 
       2*t[13] - (25*t[14])/18 - (23*t[15])/36 - (2*t[43])/3 + t[48]/2 + 
       t[49]/3 - t[50]/6 - t[51]/6 + t[52]/6 - t[53]/3 + (5*t[54])/6 - 
       t[59] - 2*t[61] - (7*t[62])/3 - (19*t[63])/6 + (11*t[64])/3 + 
       (17*t[65])/9 - (43*t[66])/18 + 2*t[79] - (2*t[83])/3 + t[84]/3 - 
       t[85]/3 + (14*t[86])/3 - t[87]/3 - t[88]/6 - t[89]/3 - 2*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      (-t[1]/2 - (2*t[3])/3 + (2*t[4])/3 + (3*t[6])/2 - (2*t[7])/3 - 
       (2*t[8])/3 + t[9]/3 - (11*t[10])/6 + (11*t[11])/6 - t[13]/9 + 
       (97*t[14])/36 + (11*t[15])/18 + t[43]/3 + t[48]/2 - t[49]/6 - 
       t[50]/6 + t[51]/12 + t[52]/6 + t[53]/6 - t[54]/6 + t[60] + 3*t[61] + 
       (2*t[62])/3 + (29*t[63])/6 - (17*t[64])/6 - t[65]/9 - t[66]/18 - 
       2*t[79] - (2*t[83])/3 + t[84]/3 - t[85]/3 - (10*t[86])/3 - t[87]/3 - 
       t[88]/6 + t[89]/6 - 2*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - w]*(3*t[2] + (5*t[3])/6 + (11*t[4])/4 + 
       (37*t[5])/12 + 6*t[6] - (73*t[7])/6 + (20*t[8])/3 - (115*t[9])/12 - 
       (15*t[10])/8 - (3*t[11])/4 - (59*t[12])/24 + (7*t[13])/2 - 
       (251*t[14])/144 - (11*t[15])/18 + t[18] + (2*t[24])/3 + (2*t[31])/3 + 
       t[35]/3 + t[43]/3 - t[47] + 3*t[48] + (17*t[49])/24 - 4*t[50] - 
       (17*t[51])/48 + 4*t[52] - (17*t[53])/24 + (23*t[54])/12 - 
       (31*t[60])/6 + (16*t[61])/3 + (103*t[62])/24 + (25*t[63])/24 + 
       (55*t[64])/4 - (151*t[65])/36 - (143*t[66])/36 - 2*t[69] + 
       (4*t[70])/3 - (4*t[71])/3 + (2*t[79])/3 - (4*t[83])/3 - t[84]/3 + 
       t[85]/3 - 6*t[86] + (16*t[87])/3 + (8*t[88])/3 + (7*t[89])/4 - 
       2*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((-33*t[2])/2 - 3*t[3] + (11*t[4])/2 - 
       (13*t[5])/4 - (5*t[6])/2 - (101*t[7])/4 - (99*t[8])/4 - 38*t[9] + 
       17*t[10] - (123*t[11])/4 - t[12]/2 - (719*t[13])/72 - (161*t[14])/8 + 
       (7*t[15])/4 + 4*t[19] - 4*t[21] + 4*t[23] - 6*t[28] + 4*t[30] + 
       8*t[35] - 2*t[37] - 4*t[39] + t[41] - t[42] - (5*t[43])/4 + 4*t[44] + 
       t[45]/2 + 2*t[46] - 9*t[47] - (17*t[48])/4 - (31*t[49])/4 + 
       (15*t[50])/4 + (15*t[51])/8 - (15*t[52])/4 + (31*t[53])/4 + 
       (35*t[54])/4 + 2*t[59] - 8*t[60] - 55*t[61] + 75*t[62] + 15*t[63] + 
       (15*t[64])/2 - 20*t[65] + (251*t[66])/3 + 4*t[69] + 2*t[74] + 
       2*t[75] + 8*t[79] - 10*t[80] - 2*t[81] + 6*t[82] - 12*t[83] + t[84] - 
       10*t[85] - 54*t[86] + 4*t[87] + 2*t[88] - t[89] - 8*t[99] - 
       2*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(-t[3] + (61*t[4])/2 - (23*t[5])/2 - 
       (51*t[6])/4 + t[7]/2 - (35*t[8])/2 - t[9] + 21*t[10] + (97*t[11])/4 - 
       (9*t[12])/2 + (305*t[13])/18 - (101*t[14])/8 - (19*t[15])/6 + 
       4*t[27] - 2*t[29] - 2*t[35] - 2*t[36] + 2*t[45] - 3*t[46] - 4*t[47] - 
       (41*t[48])/4 - 3*t[49] + (39*t[50])/4 + (31*t[51])/8 - (39*t[52])/4 - 
       (109*t[54])/4 + (11*t[60])/2 - 21*t[61] - (73*t[62])/2 - 
       (115*t[63])/2 + (61*t[64])/2 - (27*t[65])/2 - (185*t[66])/6 + 
       4*t[72] + 2*t[74] - 2*t[78] - 4*t[80] + t[81] - t[82] + 26*t[83] + 
       (9*t[84])/2 + 14*t[85] + 44*t[86] + 9*t[87] + (17*t[88])/2 + 
       (19*t[89])/4 - 4*t[95] - 8*t[99] - 2*t[100]) + 
     HPL[{0, 1}, 1 - w]*Nt[u, v, w]*(t[1]/4 - (5*t[2])/12 + (25*t[3])/12 - 
       (167*t[4])/48 + (49*t[5])/24 - (17*t[6])/4 - t[7]/4 - (49*t[8])/12 - 
       (43*t[9])/24 - (25*t[10])/32 - (25*t[11])/24 + (39*t[12])/32 - 
       (77*t[13])/144 - (2737*t[14])/576 - (29*t[15])/288 - t[25]/3 - 
       t[26]/3 + t[27]/3 - (2*t[28])/3 - t[29]/3 + t[30]/3 - t[31]/3 + 
       t[34]/6 + t[38]/2 - t[39]/3 + t[40]/3 - t[41]/12 + t[42]/12 - 
       t[43]/6 + t[44]/3 + t[46]/3 - (3*t[48])/2 - (67*t[49])/32 + t[50]/2 + 
       (281*t[51])/192 - (4*t[52])/3 + (75*t[53])/32 + (5*t[54])/16 - 
       t[58]/6 - t[59]/6 - (205*t[60])/48 - (131*t[61])/16 - (353*t[62])/96 + 
       (35*t[63])/32 + (647*t[64])/96 + (221*t[65])/144 + (197*t[66])/48 - 
       2*t[75] + (13*t[76])/6 + t[77]/6 - (14*t[78])/3 + 2*t[79] + t[80] - 
       (2*t[81])/3 + (7*t[82])/6 + 2*t[83] - (71*t[84])/48 - (31*t[85])/48 + 
       (16*t[86])/3 + (7*t[87])/16 + (7*t[88])/32 - (247*t[89])/96 + 
       t[97]/6 + 8*t[98] - 8*t[99] - 2*t[100]) + HPL[{0, 1}, 1 - u]*
      Nt[u, v, w]*(-t[1]/3 - (5*t[2])/12 - (27*t[3])/16 - (5*t[4])/3 + 
       (397*t[5])/96 - (77*t[6])/48 + (49*t[7])/48 - (5*t[8])/48 - 
       (313*t[9])/96 + (197*t[10])/48 + (191*t[11])/48 - (41*t[12])/96 + 
       (2987*t[13])/864 + (199*t[14])/96 + (1535*t[15])/576 - t[26]/6 + 
       t[27]/3 - (2*t[28])/3 - t[29]/3 + t[30]/3 - t[32]/3 + t[33]/3 + 
       t[34]/6 - (2*t[39])/3 + (2*t[40])/3 - t[41]/12 + t[42]/12 + 
       (11*t[43])/24 + t[44]/3 + t[45]/3 - t[47] - (17*t[48])/12 + 
       (19*t[49])/24 + t[50]/4 - (7*t[51])/48 - (13*t[52])/12 - 
       (19*t[53])/24 - (5*t[54])/3 - t[58]/6 + (17*t[60])/12 + 
       (67*t[61])/12 - (29*t[62])/6 + (65*t[63])/12 - t[64]/2 - 
       (61*t[65])/72 - (335*t[66])/72 + (7*t[76])/6 + t[77]/2 - (2*t[78])/3 + 
       (11*t[80])/6 + t[81]/2 - t[82]/4 - t[84]/4 + (13*t[85])/12 + 
       (3*t[86])/2 - (29*t[87])/12 - (29*t[88])/24 - (13*t[89])/8 + t[97]/6 + 
       8*t[98] - 8*t[99] - 2*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]^2*
      (-t[1]/4 - (23*t[2])/8 + (61*t[3])/48 - (175*t[4])/48 + 7*t[5] + 
       (221*t[6])/96 - (109*t[7])/48 - (3*t[8])/4 - (767*t[9])/96 + 
       (297*t[10])/32 - (163*t[11])/32 - (13*t[12])/32 - (1381*t[13])/432 + 
       (887*t[14])/576 + (73*t[15])/72 + t[18]/12 - t[19]/2 + (5*t[21])/12 - 
       t[23]/2 + (5*t[24])/6 - t[28]/2 + t[30]/4 + (7*t[31])/3 - 
       (3*t[35])/4 + (11*t[37])/12 + (5*t[41])/24 - t[42]/3 + (17*t[43])/48 + 
       (5*t[44])/6 + (41*t[45])/16 + t[46]/3 - (51*t[47])/8 + (39*t[48])/32 + 
       (101*t[49])/96 - (295*t[50])/96 - (31*t[51])/64 + (295*t[52])/96 - 
       (101*t[53])/96 + (61*t[54])/96 - t[59]/4 + (83*t[60])/24 - 
       (29*t[61])/24 + (757*t[62])/96 + (1321*t[63])/96 - (53*t[64])/16 + 
       (223*t[65])/144 + (377*t[66])/72 - (3*t[69])/4 - t[70]/6 + t[71]/6 - 
       t[72]/2 - t[73]/4 - t[74]/6 + (19*t[75])/12 + t[77] + (5*t[78])/6 + 
       (3*t[79])/4 - (67*t[80])/12 + t[81]/4 + (9*t[82])/8 - (191*t[83])/24 + 
       (55*t[84])/48 + (43*t[85])/48 - (51*t[86])/4 - (253*t[87])/48 - 
       (253*t[88])/96 + (23*t[89])/24 + (3*t[98])/2 - (11*t[99])/6 - 
       (15*t[100])/8) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*((-23*t[1])/96 - (5*t[2])/48 - (59*t[3])/128 - 
       (5*t[4])/48 - (103*t[5])/768 - (85*t[6])/384 + (173*t[7])/384 - 
       (37*t[8])/384 + (619*t[9])/768 + (469*t[10])/384 + (277*t[11])/384 + 
       (443*t[12])/768 + (10597*t[13])/6912 + (97*t[14])/256 - 
       (797*t[15])/4608 - t[26]/24 + t[27]/12 - t[28]/6 - t[29]/12 - 
       t[30]/24 + t[31]/2 - t[32]/12 + t[33]/12 + t[34]/24 + t[35]/2 - 
       t[37]/4 - t[39]/6 + t[40]/6 - t[41]/48 + t[42]/48 - (11*t[43])/192 + 
       t[44]/12 - (19*t[45])/96 + t[46]/16 + (5*t[47])/16 - (143*t[48])/192 + 
       (35*t[49])/192 - (13*t[50])/64 - (29*t[51])/384 - t[52]/192 - 
       (35*t[53])/192 - (47*t[54])/192 - t[58]/24 - (9*t[59])/32 + 
       (29*t[60])/48 - (17*t[61])/48 - (89*t[62])/96 - (7*t[63])/48 + 
       t[64]/16 + (37*t[65])/576 - (1381*t[66])/576 - t[69]/4 + t[73]/4 - 
       t[75]/4 + (7*t[76])/24 + t[77]/16 - t[78]/6 + (23*t[80])/24 + 
       t[81]/4 - t[82]/16 - t[83]/8 + (55*t[85])/48 + (7*t[86])/8 - 
       (65*t[87])/48 - (65*t[88])/96 + t[89]/32 + t[97]/24 + (5*t[98])/4 - 
       (7*t[99])/4 - (19*t[100])/12) + B8[w, u, v]*HPL[{1}, 1 - w]*
      ((-9*t[2])/4 + t[4] + (3*t[5])/8 + (5*t[6])/4 - (5*t[7])/4 - 
       (11*t[8])/4 - (11*t[9])/8 + (19*t[10])/4 - (7*t[11])/4 + t[12]/8 + 
       (13*t[13])/36 + (35*t[14])/24 + (29*t[15])/16 + t[21] + t[31] + 
       t[45] - 3*t[47] - (3*t[48])/2 - t[50]/2 + t[52]/2 - t[54]/2 + 
       (11*t[60])/4 - (3*t[61])/4 + (23*t[62])/8 - (7*t[63])/8 - 
       (79*t[64])/8 - 2*t[65] - (25*t[66])/12 + t[69] - t[70] + t[71] - 
       2*t[80] + t[81]/2 - t[82]/2 - t[84]/4 + t[85] - 3*t[86] - 
       (5*t[87])/2 - (5*t[88])/4 - (15*t[89])/8 - (3*t[100])/2) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - w]*(-t[2]/6 + (5*t[3])/12 + 
       (29*t[4])/8 + (71*t[5])/12 + (161*t[6])/24 - (83*t[7])/8 - 
       (41*t[8])/24 - (227*t[9])/24 - (47*t[10])/16 + (17*t[11])/8 - 
       (145*t[12])/48 + (479*t[13])/216 + (643*t[14])/288 + (22*t[15])/9 + 
       (4*t[24])/3 + (4*t[31])/3 - t[37]/3 - t[41]/24 + t[42]/24 + 
       (2*t[43])/3 + t[45]/4 - (23*t[47])/6 + (2*t[48])/3 + (43*t[49])/48 - 
       (8*t[50])/3 - (43*t[51])/96 + (8*t[52])/3 - (43*t[53])/48 - 
       (11*t[54])/24 - (5*t[60])/12 + (167*t[61])/24 + (115*t[62])/16 + 
       (251*t[63])/48 - (43*t[64])/24 - (169*t[65])/24 - (23*t[66])/8 - 
       (25*t[79])/12 + t[80]/3 - (4*t[83])/3 - (2*t[84])/3 + (2*t[85])/3 - 
       11*t[86] + (4*t[87])/3 + (2*t[88])/3 - (7*t[89])/6 - (3*t[100])/2) + 
     B7[w, u, v]*HPL[{1}, 1 - w]*((-3*t[2])/2 + (5*t[5])/8 - (7*t[6])/8 + 
       (3*t[7])/4 + (3*t[8])/4 + t[9]/8 + (3*t[10])/4 + (5*t[11])/8 + 
       (3*t[12])/8 + t[13]/4 - (7*t[14])/12 + (9*t[15])/16 + t[21] - 
       t[48]/8 - t[50]/8 + t[52]/8 - (7*t[54])/8 - (13*t[62])/8 - 
       (7*t[63])/8 + t[64]/2 - (19*t[65])/12 - (3*t[66])/2 + t[69] - t[70] + 
       t[71] - t[84]/4 - (3*t[85])/4 + 2*t[86] + t[87]/4 + t[88]/8 - 
       (3*t[89])/4 - (3*t[100])/2) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1, 1}, 1 - w]*((19*t[2])/12 + (3*t[3])/4 + (17*t[4])/12 - 
       (7*t[5])/8 + (49*t[6])/6 - (97*t[7])/12 + (101*t[8])/12 - 
       (187*t[9])/24 - t[10]/8 - (11*t[11])/6 - (11*t[12])/3 + 
       (167*t[13])/72 - (161*t[14])/144 + (49*t[15])/48 + t[18] + t[21]/3 + 
       2*t[24] + t[35]/3 + t[37]/3 + t[41]/6 + t[42]/3 + t[45]/3 - 
       (7*t[47])/3 + (7*t[48])/3 + (3*t[49])/8 - (5*t[50])/2 - (3*t[51])/16 + 
       (5*t[52])/2 - (3*t[53])/8 + (7*t[54])/4 - (25*t[60])/12 + 
       (19*t[61])/4 + (29*t[62])/6 + (7*t[63])/6 + (121*t[64])/24 - 
       (127*t[65])/36 - t[66]/18 - t[69] - t[79] - t[80] + t[81]/6 - 
       t[82]/6 - (13*t[83])/6 + t[84]/12 + t[85]/6 - 6*t[86] + (7*t[87])/3 + 
       (7*t[88])/6 + (5*t[89])/24 - (3*t[100])/2) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2*((7*t[1])/12 - (103*t[2])/48 - 
       (71*t[3])/16 + (301*t[4])/48 - (129*t[5])/32 + (209*t[6])/96 - 
       (13*t[7])/48 + (437*t[8])/48 + (421*t[9])/96 + (67*t[10])/32 + 
       (179*t[11])/96 + (133*t[12])/48 + (1789*t[13])/864 + 
       (5513*t[14])/576 + (365*t[15])/1728 - t[18]/12 + t[19]/2 + t[21]/12 - 
       t[23]/6 + t[24]/6 - t[28]/2 + t[29]/12 + t[30]/4 + t[31]/6 + 
       (5*t[32])/6 - (3*t[33])/4 - t[34]/6 - (11*t[35])/12 - t[37]/4 + 
       t[38]/3 + t[39]/3 - t[40]/2 + (13*t[41])/24 - (2*t[42])/3 - 
       (5*t[43])/12 - (49*t[44])/24 - (11*t[45])/12 - t[46]/2 + 
       (11*t[47])/12 + (83*t[48])/96 + (51*t[49])/32 - (217*t[50])/96 - 
       (73*t[51])/192 + (51*t[52])/32 - (25*t[53])/96 + (211*t[54])/96 + 
       t[59]/6 + (51*t[60])/8 + (91*t[61])/12 - (283*t[62])/48 - 
       (31*t[63])/16 - 4*t[64] - (251*t[65])/144 - (673*t[66])/144 + 
       t[69]/12 - t[70]/6 + t[71]/6 - t[72]/2 - t[74]/2 + t[75]/3 + 
       (4*t[76])/3 + t[77]/3 + (5*t[78])/6 - t[79] + (3*t[80])/4 + 
       (7*t[81])/24 - (23*t[82])/24 + (55*t[83])/24 - (3*t[84])/8 + 
       (49*t[85])/48 - (3*t[86])/4 - (85*t[87])/48 - (53*t[88])/96 + 
       (7*t[89])/3 + t[96] + (2*t[97])/3 + 8*t[98] - 9*t[99] - 
       (35*t[100])/24) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*((9*t[2])/16 + (23*t[3])/96 + (263*t[4])/192 - 
       (77*t[5])/96 + (21*t[6])/16 - (103*t[7])/96 + (49*t[8])/24 + 
       (97*t[9])/48 + (85*t[10])/384 - (33*t[11])/64 - (187*t[12])/384 - 
       (131*t[13])/576 + (559*t[14])/2304 - (163*t[15])/1152 - t[24]/24 - 
       t[27]/6 + (5*t[28])/24 + t[29]/6 - t[30]/6 - t[31]/4 - t[37]/8 + 
       t[39]/6 - t[41]/16 + t[42]/16 - t[43]/8 - (11*t[44])/24 + t[47]/6 + 
       (17*t[48])/32 - (19*t[49])/128 - (59*t[50])/96 + (3*t[51])/256 + 
       (59*t[52])/96 + (19*t[53])/128 + (45*t[54])/64 + (5*t[60])/4 - 
       (145*t[61])/96 - (25*t[62])/384 + (107*t[63])/128 - (59*t[64])/24 + 
       (391*t[65])/192 + (373*t[66])/576 - t[72]/6 - t[74]/4 + 
       (25*t[75])/24 - t[76]/4 + (2*t[78])/3 + (3*t[79])/16 - (3*t[80])/8 + 
       (3*t[81])/8 - t[82]/3 - (19*t[83])/48 + (5*t[84])/16 + t[85]/8 - 
       t[86]/6 - (2*t[87])/3 - t[88]/3 + (5*t[89])/6 - (3*t[98])/2 + 
       3*t[99] - (11*t[100])/8) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-19*t[2])/16 + (61*t[3])/24 + t[4]/8 + 
       (7*t[5])/24 + (107*t[6])/96 - (19*t[7])/24 - (26*t[8])/3 + 
       (469*t[9])/48 - (229*t[10])/48 - (67*t[11])/32 + (13*t[12])/48 + 
       (31*t[13])/24 + (83*t[14])/72 - (1405*t[15])/288 - (4*t[27])/3 + 
       (10*t[28])/3 + (10*t[29])/3 - (35*t[30])/12 + (5*t[31])/3 + 
       (29*t[35])/6 - (5*t[37])/6 + t[39]/2 + (5*t[44])/6 + (235*t[48])/96 + 
       (103*t[49])/48 - (253*t[50])/96 - (115*t[51])/96 + (253*t[52])/96 - 
       (103*t[53])/48 - (31*t[54])/96 - (5*t[59])/12 + (165*t[60])/16 - 
       (359*t[61])/48 + (29*t[62])/24 + (26*t[63])/3 - (155*t[64])/96 + 
       (827*t[65])/144 - (59*t[66])/16 - t[72]/2 + (5*t[75])/4 + 
       (19*t[78])/6 + t[79]/6 + (25*t[81])/24 + (7*t[82])/24 - 
       (145*t[83])/12 + (23*t[84])/8 + (125*t[85])/48 + t[86] - 
       (445*t[87])/48 - (445*t[88])/96 + (287*t[89])/96 - (4*t[100])/3) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^3*((3*t[2])/16 - (7*t[3])/16 + 
       (5*t[4])/32 + (3*t[5])/8 - (19*t[6])/64 + (7*t[7])/16 + t[8]/2 - 
       (3*t[9])/4 + (55*t[10])/64 + (63*t[11])/64 + (9*t[12])/64 - 
       (7*t[13])/48 + (89*t[14])/384 + (197*t[15])/192 + t[27]/4 - t[29]/2 + 
       (3*t[30])/8 - t[31]/2 - t[35] + t[37]/4 + t[46]/16 - (23*t[48])/64 - 
       (23*t[49])/64 + (33*t[50])/64 + (17*t[51])/128 - (33*t[52])/64 + 
       (23*t[53])/64 - (11*t[54])/64 + t[59]/8 - (43*t[60])/32 + 
       (53*t[61])/32 - (17*t[62])/64 - (83*t[63])/64 - (9*t[64])/64 - 
       (59*t[65])/48 - t[66]/48 + t[73]/8 - (5*t[75])/8 - t[78]/2 - 
       t[81]/16 - (3*t[82])/16 + (11*t[83])/8 - (5*t[84])/16 - 
       (17*t[85])/32 - t[86]/4 + (41*t[87])/32 + (41*t[88])/64 - 
       (39*t[89])/64 - (21*t[100])/16) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3*(t[1]/8 - (3*t[2])/8 + t[3]/3 - (149*t[4])/24 - 
       (23*t[5])/48 - (55*t[6])/24 + (71*t[7])/24 + t[8]/6 + (31*t[9])/48 + 
       (91*t[10])/48 - (41*t[11])/24 + t[12]/3 - (383*t[13])/144 + 
       (493*t[14])/288 + (479*t[15])/288 + t[24]/12 - t[27]/6 + t[28]/3 - 
       t[29]/12 - t[30]/6 + (7*t[31])/12 + t[35] + t[39]/6 + (5*t[43])/24 + 
       (5*t[44])/6 + t[45] + t[46] - (13*t[47])/4 + (11*t[48])/24 - 
       (5*t[49])/48 - (11*t[50])/24 - (23*t[51])/96 + (11*t[52])/24 + 
       (5*t[53])/48 + (11*t[54])/12 + (17*t[60])/24 - (25*t[61])/12 + 
       (25*t[62])/24 - (47*t[63])/12 - (141*t[64])/16 + (533*t[65])/72 + 
       (61*t[66])/36 - t[72]/6 + t[74] + 2*t[75] + (3*t[78])/2 - t[79]/4 + 
       (13*t[81])/12 - (5*t[82])/12 - (23*t[83])/6 + (31*t[84])/24 - 
       t[85]/12 + (41*t[86])/12 - (7*t[87])/2 - (7*t[88])/4 - (13*t[89])/16 - 
       (3*t[98])/2 + 3*t[99] - (19*t[100])/16) + HPL[{1}, 1 - w]^4*
      HPL[{0, 1, 1}, 1 - v]*((-19*t[2])/32 + (5*t[3])/12 + (229*t[4])/96 + 
       (143*t[5])/72 + (451*t[6])/144 - (147*t[7])/32 - (223*t[8])/288 - 
       (1153*t[9])/288 - (539*t[10])/192 + (565*t[11])/288 - 
       (689*t[12])/576 + (1643*t[13])/864 + (6583*t[14])/3456 + 
       (827*t[15])/864 + (29*t[24])/36 + (29*t[31])/36 + (7*t[42])/24 + 
       (29*t[43])/72 - (19*t[47])/12 - (29*t[48])/144 + (343*t[49])/576 - 
       (145*t[50])/144 - (343*t[51])/1152 + (145*t[52])/144 - 
       (343*t[53])/576 - (95*t[54])/96 + (19*t[60])/24 + (421*t[61])/144 + 
       (2069*t[62])/576 + (301*t[63])/192 - (43*t[64])/32 - 
       (3559*t[65])/864 - (2825*t[66])/864 - (19*t[79])/16 - (29*t[83])/36 - 
       (29*t[84])/72 + (29*t[85])/72 - (685*t[86])/144 - (29*t[87])/72 - 
       (29*t[88])/144 - (67*t[89])/48 - (7*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      (-t[1]/12 + (5*t[2])/32 - t[3]/4 - (355*t[4])/96 - (77*t[5])/144 - 
       t[6]/288 + (149*t[7])/96 - (421*t[8])/288 + (617*t[9])/288 + 
       (139*t[10])/64 + (59*t[11])/144 + (895*t[12])/576 - (2215*t[13])/864 + 
       (2779*t[14])/3456 + (91*t[15])/108 - (13*t[24])/36 + (7*t[31])/18 - 
       t[42]/8 + (5*t[43])/18 + t[44]/2 + t[45]/2 + (3*t[46])/4 - 
       (7*t[47])/12 + (71*t[48])/288 - (449*t[49])/576 - (17*t[50])/288 + 
       (89*t[51])/1152 + (17*t[52])/288 + (449*t[53])/576 + (13*t[54])/16 - 
       t[59]/4 + (71*t[60])/48 - (25*t[61])/72 + (809*t[62])/576 + 
       (65*t[63])/192 - (73*t[64])/12 + (4511*t[65])/864 + (2653*t[66])/864 + 
       t[74] + t[75]/2 + t[78]/2 + (3*t[79])/16 + (5*t[81])/8 - t[82]/8 - 
       (65*t[83])/36 + (73*t[84])/72 + (25*t[85])/144 - (91*t[86])/144 - 
       (337*t[87])/144 - (337*t[88])/288 - t[89]/96 - (7*t[100])/6) + 
     HPL[{1}, 1 - w]^3*Omega2[v, w, u]*(t[3] + (13*t[4])/4 + (11*t[5])/3 + 
       5*t[6] - (19*t[7])/2 + (7*t[8])/6 - (25*t[9])/3 - (29*t[10])/8 + 
       (13*t[11])/12 - (59*t[12])/24 + (23*t[13])/9 + (25*t[14])/48 + 
       (109*t[15])/72 + (4*t[24])/3 + (4*t[31])/3 + (2*t[43])/3 - 2*t[47] + 
       (2*t[48])/3 + (19*t[49])/24 - (8*t[50])/3 - (19*t[51])/48 + 
       (8*t[52])/3 - (19*t[53])/24 - t[54]/4 - t[60] + (11*t[61])/3 + 
       (143*t[62])/24 + (19*t[63])/8 + (5*t[64])/2 - (235*t[65])/36 - 
       (143*t[66])/36 - t[79] - (4*t[83])/3 - (2*t[84])/3 + (2*t[85])/3 - 
       (23*t[86])/3 + (4*t[87])/3 + (2*t[88])/3 - t[89] - t[100]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - w]*(t[3]/2 + (13*t[4])/4 + 
       (107*t[5])/12 + (37*t[6])/6 - (19*t[7])/2 - (4*t[8])/3 - 
       (103*t[9])/12 - (21*t[10])/8 + (19*t[11])/12 - (65*t[12])/24 + 
       (13*t[13])/36 + (271*t[14])/144 + (49*t[15])/18 + (4*t[24])/3 + 
       (4*t[31])/3 + (2*t[43])/3 - 3*t[47] + (2*t[48])/3 + (19*t[49])/24 - 
       (8*t[50])/3 - (19*t[51])/48 + (8*t[52])/3 - (19*t[53])/24 - t[54]/4 - 
       t[60]/2 + (17*t[61])/3 + (149*t[62])/24 + (41*t[63])/8 - (5*t[64])/4 - 
       (229*t[65])/36 - (13*t[66])/12 - 2*t[79] - (4*t[83])/3 - (2*t[84])/3 + 
       (2*t[85])/3 - (29*t[86])/3 + (4*t[87])/3 + (2*t[88])/3 - (3*t[89])/4 - 
       t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w]*
      ((-3*t[2])/4 - t[3] + t[4]/2 - (4*t[5])/3 - (4*t[6])/3 + (19*t[7])/4 - 
       (25*t[8])/12 + (53*t[9])/12 + t[10] + (11*t[11])/6 + t[12]/6 + 
       (2*t[13])/9 + (187*t[14])/72 - (23*t[15])/72 - (2*t[24])/3 - 
       (2*t[31])/3 + t[42]/3 - t[43]/3 - (5*t[48])/6 - t[49]/12 + 
       (11*t[50])/6 + t[51]/24 - (11*t[52])/6 + t[53]/12 - t[54] + 3*t[60] + 
       (2*t[61])/3 - (13*t[62])/6 - (19*t[64])/4 + (25*t[65])/18 - 
       (5*t[66])/6 - t[79]/2 + (2*t[83])/3 + t[84]/3 - t[85]/3 + 
       (11*t[86])/6 - (5*t[87])/3 - (5*t[88])/6 - t[89]/2 - t[100]) + 
     HPL[{1}, 1 - w]^2*M1[u, v, w]*(t[3]/4 + (11*t[4])/8 + (25*t[5])/24 + 
       (13*t[6])/6 - (15*t[7])/4 + (7*t[8])/6 - (71*t[9])/24 - 
       (23*t[10])/16 + (17*t[11])/24 - (43*t[12])/48 + (31*t[13])/18 - 
       (19*t[14])/288 + (17*t[15])/36 + t[24]/3 + t[31]/3 + t[42]/4 + 
       t[43]/6 - t[47]/2 + (5*t[48])/12 + (17*t[49])/48 - (11*t[50])/12 - 
       (17*t[51])/96 + (11*t[52])/12 - (17*t[53])/48 - t[54]/8 - 
       (3*t[60])/4 + (13*t[61])/6 + (103*t[62])/48 + (3*t[63])/16 + 
       (15*t[64])/8 - (191*t[65])/72 - (187*t[66])/72 - t[83]/3 - t[84]/6 + 
       t[85]/6 - (8*t[86])/3 + (5*t[87])/6 + (5*t[88])/12 - (3*t[89])/8 - 
       t[100]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-2*t[1])/3 - t[3]/4 + (27*t[4])/16 + (25*t[5])/24 + (65*t[6])/48 - 
       (7*t[7])/8 + (11*t[8])/12 - (35*t[9])/24 - (19*t[10])/32 - t[11]/6 - 
       (101*t[12])/96 + (3*t[13])/2 + (153*t[14])/64 + (67*t[15])/288 + 
       t[24]/12 + t[31]/12 + t[43]/24 - t[46]/2 - (3*t[47])/4 + 
       (11*t[48])/48 + (109*t[49])/96 - (17*t[50])/48 - (37*t[51])/192 + 
       (17*t[52])/48 - (109*t[53])/96 - t[60]/8 + (29*t[61])/12 - 
       (19*t[62])/96 + (105*t[63])/32 + (3*t[64])/16 - (509*t[65])/144 - 
       (97*t[66])/48 - t[74] - t[79] - t[83]/12 - t[84]/24 + t[85]/24 - 
       (2*t[86])/3 + (11*t[87])/24 + (11*t[88])/48 - (3*t[89])/16 - t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, v, u]*(-t[1]/2 - t[3]/3 + 
       (11*t[4])/6 + (3*t[6])/4 - (4*t[7])/3 + (2*t[8])/3 + (7*t[9])/6 + 
       (49*t[10])/12 + (11*t[11])/12 - t[12]/4 - (5*t[13])/4 + 
       (253*t[14])/72 - (5*t[15])/18 - t[43]/3 + t[48]/4 + (11*t[49])/12 - 
       t[50]/12 - (11*t[51])/24 + t[52]/12 - (11*t[53])/12 - t[54]/12 - 
       t[59]/2 + t[60]/2 + (3*t[61])/2 - (17*t[62])/12 + (53*t[63])/12 - 
       (17*t[64])/12 - (55*t[65])/18 - (17*t[66])/18 - t[83]/3 + t[84]/6 - 
       t[85]/6 - (5*t[86])/3 - t[87]/6 - t[88]/12 + t[89]/12 - t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Nt[u, v, w]*(-t[3]/3 + (5*t[4])/6 + 
       (3*t[6])/4 - t[7]/3 - t[8]/3 + t[9]/6 - (11*t[10])/12 + 
       (11*t[11])/12 - t[12]/4 + t[13]/36 + (97*t[14])/72 + (11*t[15])/36 + 
       t[43]/6 + t[48]/4 - t[49]/12 - t[50]/12 + t[51]/24 + t[52]/12 + 
       t[53]/12 - t[54]/12 + t[60]/2 + (3*t[61])/2 + (7*t[62])/12 + 
       (29*t[63])/12 - (17*t[64])/12 - t[65]/18 + (7*t[66])/18 - t[79] - 
       t[83]/3 + t[84]/6 - t[85]/6 - (5*t[86])/3 - t[87]/6 - t[88]/12 + 
       t[89]/12 - t[100]) + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((-5*t[1])/6 - t[3]/3 + (35*t[4])/24 - (5*t[5])/8 + 
       (35*t[6])/16 - (73*t[7])/48 - (73*t[8])/48 + (7*t[9])/6 - 
       (5*t[10])/48 + (83*t[11])/48 - t[12]/6 + (103*t[13])/144 + 
       (139*t[14])/288 + (53*t[15])/144 + t[31]/2 + (5*t[43])/12 + 
       (3*t[46])/8 - (3*t[48])/16 - (5*t[49])/6 - (25*t[50])/48 + 
       (13*t[51])/96 + (25*t[52])/48 + (5*t[53])/6 + (17*t[54])/48 - 
       t[59]/4 + (11*t[60])/8 + (19*t[61])/8 + (43*t[62])/16 + 
       (41*t[63])/48 - (97*t[64])/24 + (13*t[65])/8 + (29*t[66])/36 + 
       (3*t[74])/4 - (3*t[79])/8 + t[81]/4 - t[82]/4 - t[83]/3 + t[84]/6 + 
       (17*t[85])/24 - (97*t[86])/24 - (25*t[87])/24 - (25*t[88])/48 + 
       (13*t[89])/48 - t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*((5*t[1])/12 + (47*t[2])/12 - 
       (85*t[3])/24 + (163*t[4])/12 - (63*t[5])/16 + (557*t[6])/32 - 
       (271*t[7])/24 + (21*t[8])/4 + (223*t[9])/48 - (67*t[10])/12 - 
       (529*t[11])/96 - (97*t[12])/24 + (203*t[13])/144 + (1009*t[14])/72 - 
       (713*t[15])/288 + t[17]/2 + t[18]/9 + (2*t[21])/3 - (5*t[22])/6 - 
       (2*t[23])/3 - t[24]/3 + (2*t[25])/3 + t[26]/3 + t[27]/6 + 
       (5*t[28])/6 + t[29]/3 - (5*t[30])/3 + (35*t[31])/12 + t[32]/3 - 
       (2*t[33])/3 - t[34]/3 + t[35]/3 - t[37]/3 - (2*t[38])/3 + t[39] - 
       (4*t[40])/3 + t[41]/2 - t[42]/2 + (15*t[43])/8 - (19*t[44])/6 - 
       t[45]/3 - (27*t[46])/8 - (23*t[47])/6 + (343*t[48])/96 - 
       (41*t[49])/24 - (227*t[50])/32 + (181*t[51])/96 + (841*t[52])/96 + 
       (41*t[53])/24 + (625*t[54])/96 + t[58]/3 + (5*t[59])/3 + 
       (653*t[60])/48 + (583*t[61])/48 + (105*t[62])/16 + (683*t[63])/48 - 
       (565*t[64])/96 + (311*t[65])/144 - (1493*t[66])/144 - (2*t[69])/3 - 
       t[72]/3 - t[73]/3 - (19*t[74])/12 + (5*t[75])/2 - (7*t[76])/3 + 
       t[77]/12 + 3*t[78] - (9*t[79])/4 - (5*t[80])/3 + (83*t[81])/24 - 
       (97*t[82])/24 - (15*t[83])/4 + (65*t[84])/12 + (301*t[85])/48 - 
       (40*t[86])/3 - (461*t[87])/48 - (461*t[88])/96 + (437*t[89])/96 + 
       t[97]/3 - (16*t[98])/3 + (8*t[99])/3 - t[100]) + 
     HPL[{0, 1}, 1 - u]*M1[v, u, w]*((19*t[1])/12 - (11*t[2])/6 + 
       (3*t[3])/2 + (7*t[4])/6 + (167*t[5])/24 - (17*t[6])/24 - 
       (19*t[7])/12 + (23*t[8])/12 - (227*t[9])/24 - (20*t[10])/3 + 
       (299*t[11])/24 - (103*t[12])/24 + (595*t[13])/216 - (55*t[14])/24 + 
       (79*t[15])/48 - t[22] + t[26]/6 - t[27]/3 + (2*t[28])/3 + t[29]/3 - 
       t[30]/3 - 2*t[31] - (2*t[32])/3 + (2*t[33])/3 - (25*t[34])/6 - 
       2*t[35] + t[37] + t[38] - t[39]/3 + (11*t[40])/6 + (7*t[41])/12 - 
       (7*t[42])/12 + (13*t[43])/6 - t[44]/3 + (13*t[45])/6 - t[47]/2 + 
       (85*t[48])/24 - (11*t[49])/12 - (9*t[50])/8 + (23*t[51])/24 - 
       (25*t[52])/24 + (11*t[53])/12 - (29*t[54])/24 + t[58]/6 + 2*t[59] + 
       (19*t[60])/12 + (263*t[61])/12 - (325*t[62])/24 - (391*t[63])/24 + 
       (117*t[64])/8 - (49*t[65])/36 - (755*t[66])/36 + t[69] - 
       (14*t[76])/3 + (8*t[78])/3 + (2*t[80])/3 - t[81] - 3*t[82] - 
       (5*t[83])/2 + (11*t[84])/4 - (73*t[85])/12 + 8*t[86] + (83*t[87])/12 + 
       (83*t[88])/24 + (35*t[89])/8 - (2*t[97])/3 - 32*t[98] + 32*t[99] - 
       t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((-25*t[1])/4 + (11*t[2])/12 + t[3]/3 - 
       (35*t[4])/4 - (50*t[5])/3 - (171*t[6])/8 + (101*t[7])/12 - 
       (71*t[8])/4 + (127*t[9])/12 + (43*t[10])/12 - (511*t[11])/24 + 
       (11*t[12])/2 + (37*t[13])/18 + (601*t[14])/48 + (21*t[15])/8 + t[16] - 
       (2*t[25])/3 + (29*t[26])/6 + (2*t[27])/3 + (2*t[28])/3 + t[29]/3 + 
       (2*t[30])/3 + (37*t[31])/3 + (5*t[34])/6 + 15*t[35] + 5*t[36] + 
       3*t[37] - 3*t[38] + (4*t[39])/3 + (5*t[40])/3 - (5*t[41])/12 + 
       (5*t[42])/12 + (4*t[43])/3 + (8*t[44])/3 + 3*t[45] - t[46]/3 - 
       6*t[47] - (111*t[48])/8 - (73*t[49])/12 - (77*t[50])/24 + 
       (15*t[51])/16 - (23*t[52])/24 + (73*t[53])/12 + (259*t[54])/24 - 
       (5*t[58])/6 - (55*t[59])/12 - (715*t[60])/24 - (219*t[61])/8 + 
       (377*t[62])/12 - (79*t[63])/12 - (817*t[64])/16 + (191*t[65])/36 - 
       (197*t[66])/72 - 4*t[69] + 14*t[72] + t[74] - 2*t[75] - (13*t[76])/6 - 
       (5*t[77])/3 + (41*t[78])/3 - 16*t[79] + 3*t[80] - (23*t[81])/6 - 
       (20*t[82])/3 - (19*t[83])/3 - (283*t[84])/24 + (127*t[85])/24 + 
       28*t[86] + (323*t[87])/24 + (227*t[88])/48 - (297*t[89])/16 + 
       2*t[93] + 2*t[95] - 3*t[96] - (25*t[97])/6 - 38*t[98] + 56*t[99] - 
       t[100]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-16*t[1])/9 + t[2]/6 - t[3]/9 + (7*t[4])/36 - (3*t[5])/16 + 
       (125*t[6])/96 - (89*t[7])/72 - (137*t[8])/72 + (17*t[9])/144 - 
       (31*t[10])/72 + (403*t[11])/288 + t[12]/24 + (133*t[13])/144 + 
       (461*t[14])/432 + (277*t[15])/864 + (5*t[31])/12 - t[41]/6 + 
       (49*t[43])/72 + (7*t[46])/24 - (5*t[48])/32 - (47*t[49])/72 - 
       (125*t[50])/288 + (31*t[51])/288 + (125*t[52])/288 + (47*t[53])/72 + 
       (85*t[54])/288 + (5*t[59])/18 + (13*t[60])/16 + (13*t[61])/48 + 
       (143*t[62])/72 + (65*t[63])/36 - (565*t[64])/288 - (275*t[65])/432 - 
       (61*t[66])/432 + (7*t[74])/12 - t[79]/3 + (5*t[81])/24 - 
       (5*t[82])/24 - (5*t[83])/18 + (5*t[84])/36 + (85*t[85])/144 - 
       (119*t[86])/36 - (125*t[87])/144 - (125*t[88])/288 - (31*t[89])/288 - 
       (5*t[100])/6) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^4*
      (-t[1]/8 - (3*t[2])/64 + t[3]/24 - (251*t[4])/192 + (17*t[5])/96 + 
       (37*t[6])/192 - (67*t[7])/192 - (53*t[8])/64 - (7*t[9])/64 + 
       (137*t[10])/384 + (53*t[11])/96 + (125*t[12])/384 - (421*t[13])/576 + 
       (1681*t[14])/2304 + (5*t[15])/8 + t[24]/24 + (5*t[31])/12 + t[43]/4 + 
       t[44]/4 + t[45]/4 + (3*t[46])/8 - (5*t[47])/8 + (13*t[48])/192 - 
       (33*t[49])/128 - (59*t[50])/192 - (7*t[51])/256 + (59*t[52])/192 + 
       (33*t[53])/128 + (19*t[54])/96 - t[59]/8 + (21*t[60])/32 + 
       (13*t[61])/48 + (201*t[62])/128 + (169*t[63])/384 - (19*t[64])/6 + 
       (941*t[65])/576 + (103*t[66])/576 + t[74]/2 + t[75]/4 + t[78]/4 - 
       (5*t[79])/32 + (5*t[81])/16 - t[82]/16 - (9*t[83])/8 + (19*t[84])/48 + 
       (19*t[85])/96 - (43*t[86])/32 - (41*t[87])/32 - (41*t[88])/64 - 
       (65*t[89])/192 - (3*t[100])/4) + HPL[{1}, 1 - w]^2*M1[w, u, v]*
      (t[1]/4 + (3*t[3])/8 - (3*t[4])/4 + (17*t[5])/16 + (15*t[6])/8 - 
       (27*t[7])/8 + (9*t[8])/8 - (45*t[9])/16 - (13*t[10])/8 + t[11]/8 - 
       (13*t[12])/16 + (59*t[13])/36 - (41*t[14])/48 + (17*t[15])/32 + 
       t[24]/2 + t[31]/2 + t[43]/4 - t[47]/2 + (3*t[48])/8 - t[49]/4 - 
       (9*t[50])/8 + t[51]/8 + (9*t[52])/8 + t[53]/4 + t[54]/8 - 
       (5*t[60])/8 + (11*t[61])/8 + (27*t[62])/16 - (3*t[63])/16 + 
       (35*t[64])/16 - (23*t[65])/24 - (17*t[66])/12 + t[80]/2 - t[83]/2 - 
       t[84]/4 + t[85]/4 - (3*t[86])/2 + (3*t[87])/4 + (3*t[88])/8 - 
       t[89]/16 - (3*t[100])/4) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*(t[4]/8 + t[9]/8 - t[12]/8 - t[13]/16 - t[14]/12 + 
       t[60]/8 - t[65]/72 - t[98] + t[99] - (3*t[100])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - w]*(t[13]/27 + t[14]/36 - 
       t[51]/36 + t[64]/18 + t[65] - (2*t[66])/27 - (11*t[88])/36 - 
       t[100]/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, u, w]*
      (-t[1]/2 - t[2] - (5*t[3])/12 - (5*t[4])/6 - (5*t[5])/8 - (5*t[6])/8 + 
       (7*t[7])/12 - (47*t[8])/12 + (53*t[9])/24 + (13*t[10])/6 + 
       (47*t[11])/24 - t[12]/8 - t[13]/8 + (137*t[14])/72 + (61*t[15])/144 - 
       t[21] + t[23] - t[41]/2 + t[42]/2 - t[43]/6 + t[45] - 2*t[47] - 
       (5*t[48])/8 + t[49]/12 + (29*t[50])/24 - t[51]/24 - (29*t[52])/24 - 
       t[53]/12 - t[54]/24 - t[59]/2 + (5*t[60])/2 + (37*t[62])/24 + 
       (95*t[63])/24 - (97*t[64])/12 + (29*t[65])/36 - (25*t[66])/18 + 
       t[69] - t[80] - t[83]/6 + (7*t[84])/12 + (5*t[85])/12 - (7*t[86])/3 - 
       (31*t[87])/12 - (31*t[88])/24 - (5*t[89])/6 - t[100]/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      (-t[1]/4 - t[3]/6 + (5*t[4])/12 - (5*t[5])/16 + (25*t[6])/32 - 
       (73*t[7])/96 - (73*t[8])/96 + (13*t[9])/48 - (5*t[10])/96 + 
       (83*t[11])/96 + t[12]/8 - t[13]/8 + (259*t[14])/576 + (53*t[15])/288 + 
       t[31]/4 + (5*t[43])/24 + (3*t[46])/16 - (3*t[48])/32 - (5*t[49])/12 - 
       (25*t[50])/96 + (13*t[51])/192 + (25*t[52])/96 + (5*t[53])/12 + 
       (17*t[54])/96 - t[59]/8 + (11*t[60])/16 + (9*t[61])/16 + 
       (109*t[62])/96 + (41*t[63])/96 - (67*t[64])/48 + (77*t[65])/144 - 
       (7*t[66])/18 + (3*t[74])/8 - (3*t[79])/16 + t[81]/8 - t[82]/8 - 
       t[83]/6 + t[84]/12 + (17*t[85])/48 - (97*t[86])/48 - (25*t[87])/48 - 
       (25*t[88])/96 + (13*t[89])/96 - t[100]/2) + 
     HPL[{1}, 1 - w]^2*M1[v, u, w]*((3*t[2])/2 - (3*t[3])/8 - t[4]/4 - 
       (7*t[5])/24 + t[6]/3 + (19*t[8])/12 + (5*t[9])/24 + (7*t[10])/8 - 
       (5*t[11])/24 + t[12]/3 - (71*t[13])/144 + (35*t[14])/144 - 
       (37*t[15])/72 + t[18]/2 - t[24]/3 - t[31]/3 - t[43]/6 + 
       (17*t[48])/24 - t[49]/24 - (5*t[50])/24 + t[51]/48 + (5*t[52])/24 + 
       t[53]/24 + (5*t[54])/8 - t[60] + (4*t[61])/3 - (13*t[62])/12 + 
       t[63]/4 + (9*t[64])/4 + (55*t[65])/36 + (59*t[66])/36 - t[69] + 
       t[70]/2 - t[71]/2 + t[83]/12 + t[84]/6 - t[85]/6 + (2*t[86])/3 + 
       (7*t[87])/6 + (7*t[88])/12 + t[89] - t[100]/2) + 
     HPL[{1}, 1 - w]^2*M1[v, w, u]*((9*t[4])/8 + (23*t[5])/24 + 
       (41*t[6])/24 - (9*t[7])/2 + (25*t[8])/12 - (67*t[9])/24 - t[10]/16 - 
       t[11]/12 - (29*t[12])/48 + (25*t[13])/18 - (197*t[14])/288 + 
       (23*t[15])/72 - t[20]/2 + t[22]/2 + t[24]/6 + t[31]/6 - t[32]/2 + 
       t[43]/12 - t[47]/2 + (23*t[48])/24 + (19*t[49])/48 - (29*t[50])/24 - 
       (19*t[51])/96 + (29*t[52])/24 - (19*t[53])/48 + t[54]/4 - 
       (5*t[60])/2 + (13*t[61])/12 + (65*t[62])/48 + (13*t[63])/16 + 
       (19*t[64])/4 - (97*t[65])/72 - (125*t[66])/72 - t[83]/6 - t[84]/12 + 
       t[85]/12 - (11*t[86])/6 + (29*t[87])/12 + (29*t[88])/24 + t[89] - 
       t[100]/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      (t[1]/8 + (3*t[2])/32 - (3*t[3])/16 + (5*t[4])/32 + t[5]/48 - 
       (73*t[6])/64 + (21*t[7])/16 - (53*t[8])/48 - (107*t[9])/96 + 
       (385*t[10])/192 + (113*t[11])/64 - (47*t[12])/192 + (11*t[13])/18 - 
       (983*t[14])/1152 + (191*t[15])/144 + t[27]/6 - t[28]/3 - t[29]/6 + 
       (5*t[30])/12 - (3*t[31])/8 - (3*t[35])/4 + t[37]/4 - t[39]/6 + 
       (5*t[43])/48 + (5*t[44])/12 + t[45]/4 + t[46]/2 - (3*t[47])/4 - 
       (83*t[48])/192 - (37*t[49])/192 + (55*t[50])/64 + (125*t[51])/384 - 
       (55*t[52])/64 + (37*t[53])/192 - (163*t[54])/192 + t[59]/4 - 
       (143*t[60])/96 + (39*t[61])/32 - (11*t[62])/192 - (291*t[63])/64 - 
       (385*t[64])/192 - t[65]/3 - (43*t[66])/48 + t[72]/6 + (3*t[73])/8 + 
       (3*t[74])/8 - t[75]/2 - t[78]/4 - (3*t[79])/8 + (11*t[81])/48 - 
       (19*t[82])/48 + (17*t[83])/24 - (5*t[84])/16 - (65*t[85])/96 + 
       t[86]/3 + (31*t[87])/32 + (31*t[88])/64 - (199*t[89])/192 - t[98]/2 + 
       t[99]/2 - t[100]/2) + HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - w]*
      (t[3]/8 + (13*t[4])/16 + (59*t[5])/48 + (37*t[6])/24 - (19*t[7])/8 - 
       t[8]/3 - (103*t[9])/48 - (21*t[10])/32 + (19*t[11])/48 - 
       (65*t[12])/96 + (61*t[13])/144 + (271*t[14])/576 + (37*t[15])/72 + 
       t[24]/3 + t[31]/3 + t[43]/6 - (3*t[47])/4 + t[48]/6 + (19*t[49])/96 - 
       (2*t[50])/3 - (19*t[51])/192 + (2*t[52])/3 - (19*t[53])/96 - 
       t[54]/16 - t[60]/8 + (17*t[61])/12 + (149*t[62])/96 + (41*t[63])/32 - 
       (5*t[64])/16 - (229*t[65])/144 - (29*t[66])/48 - t[79]/2 - t[83]/3 - 
       t[84]/6 + t[85]/6 - (29*t[86])/12 + t[87]/3 + t[88]/6 - (3*t[89])/16 - 
       t[100]/4) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      ((-9*t[1])/8 + (111*t[2])/32 + t[3]/16 + (247*t[4])/24 - 
       (719*t[5])/288 + (1085*t[6])/144 - (335*t[7])/96 + (1825*t[8])/288 + 
       (689*t[9])/144 - (111*t[10])/32 + (715*t[11])/144 + t[12]/72 + 
       (109*t[13])/864 - (1267*t[14])/864 - (2285*t[15])/864 - t[19]/3 - 
       t[21]/2 + t[23]/2 + t[24]/9 + t[30]/2 + t[31]/9 - t[35] + t[37]/4 - 
       t[39]/2 - t[41]/2 + t[42]/2 - (47*t[43])/72 - (5*t[44])/2 - 2*t[45] - 
       2*t[46] + (13*t[47])/3 - (211*t[48])/144 + (8*t[49])/9 - 
       (131*t[50])/144 + t[51]/18 + (131*t[52])/144 - (8*t[53])/9 + 
       (7*t[54])/16 - t[59] + (43*t[60])/48 + (41*t[61])/144 - 
       (821*t[62])/144 - (7*t[63])/6 + (229*t[64])/48 - (3997*t[65])/432 - 
       (179*t[66])/432 + t[69]/2 - t[72]/4 - 2*t[74] - (5*t[75])/2 - 
       t[77]/8 - 2*t[78] - (11*t[79])/16 - (3*t[80])/2 - (3*t[81])/4 - 
       (5*t[82])/4 + (245*t[83])/36 - (199*t[84])/72 + (77*t[85])/36 - 
       (359*t[86])/144 + (77*t[87])/18 + (77*t[88])/36 + (223*t[89])/96 + 
       t[99] - (5*t[100])/24) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^2*((-5*t[2])/64 + t[3]/24 + (47*t[4])/64 - (7*t[5])/4 - 
       (3*t[6])/32 + (47*t[7])/64 + (85*t[8])/192 + (125*t[9])/64 + 
       (545*t[10])/384 - (205*t[11])/192 + (59*t[12])/128 - 
       (1183*t[13])/1728 - (883*t[14])/2304 - (31*t[15])/32 - t[24]/12 - 
       t[31]/12 - t[43]/3 - t[44]/12 - t[46]/8 + t[47]/4 - (15*t[48])/32 + 
       (37*t[49])/384 - (5*t[50])/96 - (77*t[51])/768 + (5*t[52])/96 - 
       (37*t[53])/384 + (53*t[54])/192 + (19*t[60])/48 - (133*t[61])/96 - 
       (191*t[62])/128 - (157*t[63])/128 - (7*t[64])/192 + (359*t[65])/576 - 
       (103*t[66])/576 + t[73]/6 - t[74]/6 - t[75]/4 + t[76]/6 - t[78]/4 + 
       (49*t[79])/96 - t[80]/3 + (5*t[81])/24 - (11*t[82])/24 + t[83]/4 - 
       t[84]/24 + (29*t[85])/48 + (37*t[86])/32 - (37*t[87])/48 - 
       (37*t[88])/96 + (43*t[89])/96 + 2*t[98] - 2*t[99] - (3*t[100])/16) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^5*((3*t[2])/64 - t[3]/8 - 
       (13*t[4])/32 - (19*t[5])/48 - (13*t[6])/24 + (65*t[7])/64 - 
       (7*t[8])/192 + (173*t[9])/192 + t[10]/2 - (19*t[11])/96 + 
       (25*t[12])/96 - (193*t[13])/576 - (179*t[14])/1152 - 
       (197*t[15])/1152 - t[24]/6 - t[31]/6 - t[43]/12 + t[47]/4 - t[48]/48 - 
       (19*t[49])/192 + (13*t[50])/48 + (19*t[51])/384 - (13*t[52])/48 + 
       (19*t[53])/192 + (3*t[54])/32 - (19*t[61])/48 - (67*t[62])/96 - 
       t[63]/4 - (7*t[64])/64 + (223*t[65])/288 + (41*t[66])/72 + 
       (5*t[79])/32 + t[83]/6 + t[84]/12 - t[85]/12 + (83*t[86])/96 - 
       t[87]/24 - t[88]/48 + (3*t[89])/16 + t[100]/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2*
      (-t[1]/24 + t[4]/8 + t[6]/8 + t[9]/8 - (7*t[13])/144 - t[14]/12 + 
       t[60]/8 + t[61]/8 - t[65]/24 - t[66]/72 + t[100]/4) + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^3*(-t[3]/24 + (5*t[4])/12 + t[5]/16 + 
       (3*t[6])/16 - (7*t[7])/96 - (31*t[8])/96 - (5*t[9])/48 - 
       (23*t[10])/96 - (11*t[11])/48 - (3*t[12])/16 + (7*t[13])/18 + 
       (169*t[14])/576 + (11*t[15])/288 + t[43]/12 - t[46]/16 - t[48]/16 + 
       t[49]/12 + t[50]/48 + t[51]/192 - t[52]/48 - t[53]/12 - (5*t[54])/48 + 
       t[59]/8 + t[61]/4 + (13*t[62])/96 + (65*t[63])/96 - (35*t[64])/96 - 
       (35*t[65])/72 + (7*t[66])/144 - t[74]/8 - (5*t[79])/16 + t[83]/12 - 
       t[84]/24 + t[85]/24 - (19*t[86])/48 + t[87]/24 + t[88]/48 + t[89]/24 + 
       t[100]/4) + HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - v]*
      ((3*t[2])/32 - t[3]/4 - (13*t[4])/16 - (19*t[5])/24 - (13*t[6])/12 + 
       (65*t[7])/32 - (7*t[8])/96 + (173*t[9])/96 + t[10] - (19*t[11])/48 + 
       (25*t[12])/48 - (59*t[13])/96 - (179*t[14])/576 - (197*t[15])/576 - 
       t[24]/3 - t[31]/3 - t[43]/6 + t[47]/2 - t[48]/24 - (19*t[49])/96 + 
       (13*t[50])/24 + (19*t[51])/192 - (13*t[52])/24 + (19*t[53])/96 + 
       (3*t[54])/16 - (19*t[61])/24 - (67*t[62])/48 - t[63]/2 - 
       (7*t[64])/32 + (223*t[65])/144 + (37*t[66])/36 + (5*t[79])/16 + 
       t[83]/3 + t[84]/6 - t[85]/6 + (83*t[86])/48 - t[87]/12 - t[88]/24 + 
       (3*t[89])/8 + t[100]/4) + HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - w]*
      (-t[11]/8 - t[14]/24 - t[60]/8 + t[61]/8 + (5*t[65])/72 + 
       (3*t[100])/8) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((-7*t[1])/24 - (63*t[2])/16 + (83*t[3])/96 - (59*t[4])/12 + 
       (61*t[5])/8 + (147*t[6])/64 - (53*t[7])/8 - (73*t[8])/12 - 
       (775*t[9])/96 + (19*t[10])/24 - (697*t[11])/192 - (7*t[12])/8 - 
       (199*t[13])/54 - (371*t[14])/192 + (1633*t[15])/864 - (7*t[19])/12 - 
       t[21]/4 + t[23]/4 + t[24]/6 - t[27]/3 + (5*t[28])/4 + (23*t[29])/24 - 
       (5*t[30])/3 + (4*t[31])/3 - (7*t[32])/6 + (7*t[33])/6 - t[34]/12 + 
       2*t[35] - t[36] + (11*t[37])/12 - t[38]/6 + t[39]/8 + (7*t[40])/24 - 
       t[41]/4 + t[42]/4 + (7*t[43])/12 + (13*t[44])/12 + (3*t[45])/2 + 
       (13*t[46])/12 - (47*t[47])/12 + (133*t[48])/64 + (7*t[49])/12 - 
       (353*t[50])/192 - (17*t[51])/24 + (139*t[52])/64 - (5*t[53])/4 + 
       (51*t[54])/64 - t[59]/12 - (215*t[60])/96 - (185*t[61])/96 + 
       (575*t[62])/48 + (107*t[63])/16 - (289*t[64])/192 + (119*t[65])/48 + 
       (1607*t[66])/288 + t[69]/4 - t[72]/12 - t[73]/6 + t[74] + 
       (9*t[75])/4 - (2*t[76])/3 + t[77]/6 + (3*t[78])/2 + (11*t[79])/12 - 
       (29*t[80])/12 + (11*t[81])/24 + (11*t[82])/8 - (125*t[83])/24 + 
       (155*t[84])/96 + (85*t[85])/96 - (109*t[86])/12 - (93*t[87])/32 - 
       (93*t[88])/64 - (179*t[89])/192 - t[96]/2 - t[97]/3 - (8*t[98])/3 + 
       (7*t[99])/3 + (3*t[100])/8) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*((5*t[1])/4 - (41*t[2])/32 - (7*t[3])/48 - 
       (67*t[4])/8 + (3019*t[5])/288 - (1121*t[6])/288 + (1241*t[7])/96 + 
       (481*t[8])/288 - (275*t[9])/72 + (11*t[10])/24 - (2161*t[11])/288 - 
       (1559*t[12])/288 - (179*t[13])/216 + (437*t[14])/216 + 
       (4075*t[15])/864 + t[21] - (5*t[24])/9 - t[25]/2 - t[27]/2 - t[28]/4 + 
       t[29]/4 - (29*t[31])/36 + t[35]/2 + t[36]/2 - 2*t[37] + t[38]/2 - 
       t[39]/4 + t[40]/4 + t[43]/18 + t[45]/2 - (7*t[46])/8 - (19*t[47])/6 - 
       (491*t[48])/288 + (235*t[49])/288 + (665*t[50])/288 + (13*t[51])/288 - 
       (665*t[52])/288 - (127*t[53])/288 + (133*t[54])/96 + t[59]/4 + 
       (31*t[60])/48 + (217*t[61])/72 + (539*t[62])/288 - (233*t[63])/32 - 
       (1805*t[64])/96 + (47*t[65])/108 + (2179*t[66])/432 + t[69]/2 - 
       t[70] + t[71] - t[72]/2 + t[74]/4 - (3*t[75])/4 - t[77]/4 - 
       (11*t[79])/16 + (13*t[80])/4 - t[81] + t[82] + (23*t[83])/36 - 
       (109*t[84])/72 - (197*t[85])/72 + (1321*t[86])/144 - (67*t[87])/72 - 
       (139*t[88])/144 - (249*t[89])/32 + t[95]/2 + 2*t[99] + 
       (5*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w]*
      ((5*t[11])/8 - (5*t[14])/12 + t[37]/2 + (5*t[60])/8 + (5*t[61])/8 + 
       (5*t[62])/12 - (5*t[64])/4 + (5*t[65])/24 + t[100]/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*
      ((9*t[1])/2 - 5*t[2] - (25*t[3])/12 - (155*t[4])/12 + (183*t[5])/8 + 
       (165*t[6])/8 - (55*t[7])/12 + (31*t[8])/6 - (767*t[9])/24 + 
       (395*t[10])/24 - (197*t[11])/24 - (11*t[12])/4 - (19*t[13])/24 + 
       (629*t[14])/144 + (2531*t[15])/144 - (3*t[17])/2 + t[21] - t[23] + 
       t[24] + 2*t[25] - 2*t[31] + t[35] + t[37] - 2*t[38] - t[41] + t[42] + 
       (13*t[43])/6 + 4*t[45] - 3*t[46] - 14*t[47] - (3*t[48])/8 - 
       (35*t[49])/24 + (139*t[50])/24 + (95*t[51])/48 - (139*t[52])/24 + 
       (35*t[53])/24 - (149*t[54])/24 + (15*t[59])/2 + t[60] + 22*t[61] + 
       (55*t[62])/3 - (7*t[63])/12 - (227*t[64])/12 - (145*t[65])/18 + 
       (1373*t[66])/36 - t[69] + 2*t[72] + 2*t[74] - t[77] - 9*t[79] - 
       3*t[80] - 4*t[81] + 4*t[82] + (37*t[83])/6 - (31*t[84])/12 - 
       (65*t[85])/12 - (26*t[86])/3 + (127*t[87])/12 + (127*t[88])/24 - 
       (143*t[89])/12 + t[100]/2) + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((7*t[1])/24 + (5*t[3])/12 - (5*t[4])/3 + t[5]/2 - 
       (31*t[6])/16 + (5*t[7])/3 + (13*t[8])/6 - t[9]/3 + (7*t[10])/12 - 
       (61*t[11])/48 + t[12]/8 - (7*t[13])/36 - (107*t[14])/72 - 
       (4*t[15])/9 - t[31]/2 - (7*t[43])/12 - t[46]/4 + (5*t[48])/16 + 
       (2*t[49])/3 + (23*t[50])/48 - (7*t[51])/48 - (23*t[52])/48 - 
       (2*t[53])/3 - (7*t[54])/48 - t[59]/24 - (11*t[60])/8 - (13*t[61])/8 - 
       (61*t[62])/24 - (53*t[63])/24 + (169*t[64])/48 - (7*t[65])/72 + 
       (25*t[66])/72 - t[74]/2 + t[79] - t[81]/4 + t[82]/4 + t[83]/6 - 
       t[84]/12 - (19*t[85])/24 + (29*t[86])/6 + (23*t[87])/24 + 
       (23*t[88])/48 - (17*t[89])/48 + t[100]/2) + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((7*t[1])/24 - t[3]/12 + (5*t[4])/6 + t[5]/8 + (3*t[6])/8 - 
       (7*t[7])/48 - (31*t[8])/48 - (5*t[9])/24 - (23*t[10])/48 - 
       (11*t[11])/24 - (3*t[12])/8 + (4*t[13])/9 + (169*t[14])/288 + 
       (11*t[15])/144 + t[43]/6 - t[46]/8 - t[48]/8 + t[49]/6 + t[50]/24 + 
       t[51]/96 - t[52]/24 - t[53]/6 - (5*t[54])/24 + (5*t[59])/24 + 
       t[61]/2 + (13*t[62])/48 + (65*t[63])/48 - (35*t[64])/48 - 
       (35*t[65])/36 + (31*t[66])/72 - t[74]/4 - (5*t[79])/8 + t[83]/6 - 
       t[84]/12 + t[85]/12 - (19*t[86])/24 + t[87]/12 + t[88]/24 + t[89]/12 + 
       t[100]/2) + HPL[{1}, 1 - w]^2*Nt[u, v, w]*(-t[4]/4 - (7*t[5])/12 - 
       (17*t[6])/24 + t[7]/2 - t[8]/3 + (11*t[9])/12 + (5*t[10])/8 - 
       (7*t[11])/24 + (7*t[12])/24 - (5*t[13])/36 - (65*t[14])/144 - 
       (29*t[15])/72 - t[24]/6 - t[31]/6 - t[43]/12 + t[47]/2 + t[48]/24 + 
       t[49]/24 + (5*t[50])/24 - t[51]/48 - (5*t[52])/24 - t[53]/24 - 
       t[54]/8 - t[60]/4 - (13*t[61])/12 - (13*t[62])/24 - t[63]/8 + 
       (5*t[64])/8 + (23*t[65])/36 + (7*t[66])/36 + t[79]/2 + t[83]/6 + 
       t[84]/12 - t[85]/12 + (5*t[86])/6 + t[87]/12 + t[88]/24 + 
       (3*t[89])/8 + t[100]/2) + HPL[{1}, 1 - w]^2*M1[w, v, u]*
      (-2*t[4] + (2*t[5])/3 - (17*t[6])/24 + (3*t[7])/2 - (4*t[8])/3 + 
       (2*t[9])/3 - t[10]/2 - (19*t[11])/24 + (5*t[12])/12 - (11*t[13])/18 - 
       (79*t[14])/72 + t[15]/72 - t[24]/6 - t[31]/6 + t[43]/6 + t[48]/24 - 
       t[49]/3 + (5*t[50])/24 + t[51]/6 - (5*t[52])/24 + t[53]/3 + t[54]/8 - 
       t[60]/4 - (19*t[61])/12 - (2*t[62])/3 + (3*t[64])/8 + (20*t[65])/9 + 
       (79*t[66])/36 - t[72]/2 + t[77]/4 + t[80]/2 + t[83]/6 + t[84]/12 - 
       t[85]/12 + (7*t[86])/3 + t[87]/12 + t[88]/24 + (5*t[89])/8 + 
       t[100]/2) + HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - w]*
      (t[10]/24 + t[11]/24 + t[12]/24 + t[13]/36 + t[14]/36 - t[15]/72 - 
       t[49]/24 - t[51]/24 + t[53]/24 + t[60]/24 + t[61]/12 - t[62]/8 - 
       t[63]/24 - t[64]/8 + (5*t[65])/72 + t[66]/18 + t[84]/12 + t[88]/12 + 
       t[89]/24 + (5*t[100])/8) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(t[1]/4 + (23*t[3])/36 - (137*t[4])/36 + 
       (35*t[5])/48 - (95*t[6])/32 + (197*t[7])/144 + (317*t[8])/144 - 
       (67*t[9])/144 + (193*t[10])/144 - (83*t[11])/288 + (5*t[12])/6 - 
       (43*t[13])/432 - (3287*t[14])/864 - (143*t[15])/864 - (3*t[31])/4 - 
       (65*t[43])/72 + (5*t[46])/12 + (47*t[48])/96 - (41*t[49])/72 + 
       (205*t[50])/288 - t[51]/36 - (205*t[52])/288 + (41*t[53])/72 - 
       (53*t[54])/288 + t[59]/4 - (33*t[60])/16 - (121*t[61])/48 - 
       (251*t[62])/144 - (1009*t[63])/144 + (1223*t[64])/288 + 
       (1339*t[65])/432 + (695*t[66])/432 + (5*t[74])/6 + (19*t[79])/8 - 
       (3*t[81])/8 + (3*t[82])/8 + (2*t[83])/9 - t[84]/9 - (173*t[85])/144 + 
       (365*t[86])/72 + (205*t[87])/144 + (205*t[88])/288 - (157*t[89])/288 + 
       (2*t[100])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      (-t[1]/8 + (3*t[2])/16 + (5*t[3])/12 - (25*t[4])/48 + (41*t[5])/32 + 
       (227*t[6])/192 - (13*t[7])/12 - (5*t[8])/6 + (41*t[9])/32 - 
       (49*t[10])/96 - (113*t[11])/192 - (7*t[12])/32 - (73*t[13])/144 - 
       (19*t[14])/576 - (59*t[15])/64 - t[27]/6 + t[28]/3 + (2*t[29])/3 - 
       (2*t[30])/3 + (7*t[31])/24 + t[39]/6 + (7*t[43])/48 - t[44]/12 - 
       t[45]/4 + t[46]/16 + (5*t[47])/12 + (71*t[48])/192 + (5*t[49])/32 - 
       (43*t[50])/64 - (11*t[51])/48 + (43*t[52])/64 - (5*t[53])/32 + 
       (37*t[54])/192 - t[59]/8 + (83*t[60])/32 - (11*t[61])/32 + 
       (77*t[62])/96 + (253*t[63])/96 - (39*t[64])/64 + (461*t[65])/288 - 
       (289*t[66])/288 - t[72]/6 + t[73]/4 + t[74]/8 + t[75]/6 + t[76]/4 + 
       t[78]/6 - (3*t[79])/8 + t[80]/2 + (7*t[81])/16 - (13*t[82])/48 - 
       (43*t[83])/24 + (29*t[84])/48 + (77*t[85])/96 - 2*t[86] - 
       (67*t[87])/32 - (67*t[88])/64 + (53*t[89])/192 + 3*t[98] - 4*t[99] + 
       (3*t[100])/4) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((5*t[3])/48 + (65*t[4])/96 - (7*t[5])/12 - (13*t[6])/64 + 
       (11*t[7])/48 - (19*t[8])/24 + (5*t[9])/16 - (7*t[10])/64 + 
       (107*t[11])/192 + (65*t[12])/192 + (151*t[13])/144 - (103*t[14])/128 - 
       (79*t[15])/192 + t[27]/12 - t[28]/6 + t[29]/6 - t[30]/24 + t[31]/2 + 
       t[35]/2 - t[37]/4 - t[39]/12 + t[44]/12 + t[46]/16 - (115*t[48])/192 - 
       t[49]/64 + (5*t[50])/192 - (7*t[51])/384 - (5*t[52])/192 + t[53]/64 - 
       (13*t[54])/64 - t[59]/8 + (17*t[60])/96 - (13*t[61])/32 - 
       (7*t[62])/64 - (367*t[63])/192 + (59*t[64])/192 - (239*t[65])/144 - 
       (193*t[66])/144 + t[72]/12 + t[73]/8 - (5*t[75])/8 - t[78]/4 - 
       (5*t[81])/48 + t[82]/48 + (11*t[83])/24 - (13*t[84])/48 + 
       (67*t[85])/96 + t[86]/4 - (19*t[87])/96 - (19*t[88])/192 + 
       (5*t[89])/192 + t[98]/2 - t[99]/2 + (3*t[100])/4) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((5*t[3])/24 + (65*t[4])/48 - (7*t[5])/6 - (13*t[6])/32 + 
       (11*t[7])/24 - (19*t[8])/12 + (5*t[9])/8 - (7*t[10])/32 + 
       (107*t[11])/96 + (65*t[12])/96 + (151*t[13])/72 - (103*t[14])/64 - 
       (79*t[15])/96 + t[27]/6 - t[28]/3 + t[29]/3 - t[30]/12 + t[31] + 
       t[35] - t[37]/2 - t[39]/6 + t[44]/6 + t[46]/8 - (115*t[48])/96 - 
       t[49]/32 + (5*t[50])/96 - (7*t[51])/192 - (5*t[52])/96 + t[53]/32 - 
       (13*t[54])/32 - t[59]/4 + (17*t[60])/48 - (13*t[61])/16 - 
       (7*t[62])/32 - (367*t[63])/96 + (59*t[64])/96 - (253*t[65])/72 - 
       (193*t[66])/72 + t[72]/6 + t[73]/4 - (5*t[75])/4 - t[78]/2 - 
       (5*t[81])/24 + t[82]/24 + (7*t[83])/12 - (13*t[84])/24 + 
       (67*t[85])/48 + t[86]/2 - (19*t[87])/48 - (19*t[88])/96 + 
       (5*t[89])/96 + t[99]/2 + (3*t[100])/4) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*((5*t[1])/12 - (17*t[2])/6 - 
       t[3]/18 - (161*t[4])/18 + (191*t[5])/24 + (127*t[6])/24 - 
       (293*t[7])/144 - (125*t[8])/144 - (577*t[9])/72 + (2111*t[10])/144 - 
       (583*t[11])/72 + (15*t[12])/8 + (11*t[13])/54 - (1741*t[14])/864 + 
       (2701*t[15])/432 + (2*t[18])/3 + 3*t[21] - (2*t[23])/3 - t[24] + 
       2*t[31] + (4*t[35])/3 + t[41]/3 - t[42]/3 + (7*t[43])/9 + 2*t[45] + 
       (17*t[46])/24 - 6*t[47] - (55*t[48])/24 - (119*t[49])/36 - 
       (97*t[50])/72 + (251*t[51])/288 + (97*t[52])/72 + (119*t[53])/36 + 
       (77*t[54])/72 - t[59]/12 + (17*t[60])/6 - (2*t[61])/3 + 
       (971*t[62])/144 - (1325*t[63])/144 - (2245*t[64])/144 + 
       (137*t[65])/27 + (665*t[66])/216 + t[69]/3 - (5*t[70])/3 + 
       (5*t[71])/3 + (17*t[74])/12 + (25*t[79])/24 - 4*t[80] + t[81]/2 - 
       t[82]/2 + (29*t[83])/18 - (8*t[84])/9 + (59*t[85])/36 - 
       (233*t[86])/72 - (43*t[87])/36 - (43*t[88])/72 - (65*t[89])/18 + 
       (5*t[100])/6) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*(-t[1]/3 - (49*t[2])/24 + (11*t[3])/48 - 
       (87*t[4])/32 - (197*t[5])/72 - (1069*t[6])/144 + (89*t[7])/32 - 
       (143*t[8])/288 - (995*t[9])/288 + (259*t[10])/192 - (1325*t[11])/144 + 
       (827*t[12])/576 - (8771*t[13])/1728 - (24691*t[14])/3456 - 
       (2567*t[15])/864 + t[18]/3 + t[19]/2 - (7*t[21])/6 + t[22]/2 + 
       (7*t[23])/3 - (29*t[24])/36 - (3*t[28])/4 + t[30]/2 - (59*t[31])/36 + 
       t[34]/6 + 2*t[35] - (3*t[37])/4 - t[39]/2 - (11*t[41])/12 + 
       (7*t[42])/24 - (287*t[43])/288 + t[44]/4 + (53*t[45])/48 - 
       (19*t[46])/24 - (47*t[47])/24 - (179*t[48])/288 + (605*t[49])/576 + 
       (893*t[50])/288 + (127*t[51])/1152 - (797*t[52])/288 - 
       (605*t[53])/576 - (5*t[54])/16 + t[58]/12 + (41*t[59])/24 - 
       (145*t[60])/24 - (2635*t[61])/144 + (4249*t[62])/576 - 
       (1411*t[63])/192 + (259*t[64])/48 - (3101*t[65])/864 + 
       (12599*t[66])/864 + t[70]/3 - t[71]/3 - (7*t[74])/6 + (5*t[76])/12 - 
       t[78]/6 + (13*t[79])/6 + t[80]/6 - (5*t[81])/4 + (17*t[82])/12 + 
       (53*t[83])/36 - (19*t[84])/72 - (127*t[85])/36 + (767*t[86])/72 + 
       (65*t[87])/18 + (65*t[88])/36 - (47*t[89])/48 + 2*t[98] - 2*t[99] + 
       (11*t[100])/12) + 6*B10[u, v, w]*HPL[{1}, 1 - u]*t[100] - 
     6*B10[v, w, u]*HPL[{1}, 1 - u]*t[100] + 3*B5[u, v, w]*HPL[{1}, 1 - u]*
      t[100] + 3*B5[u, w, v]*HPL[{1}, 1 - u]*t[100] - 
     3*B5[v, u, w]*HPL[{1}, 1 - u]*t[100] - 3*B5[v, w, u]*HPL[{1}, 1 - u]*
      t[100] + 3*B6[u, w, v]*HPL[{1}, 1 - u]*t[100] - 
     3*B6[v, w, u]*HPL[{1}, 1 - u]*t[100] - 3*B6[w, u, v]*HPL[{1}, 1 - u]*
      t[100] + 3*B6[w, v, u]*HPL[{1}, 1 - u]*t[100] - 
     (3*B7[u, v, w]*HPL[{1}, 1 - u]*t[100])/2 + 
     (3*B7[v, w, u]*HPL[{1}, 1 - u]*t[100])/2 - 
     (3*B8[u, v, w]*HPL[{1}, 1 - u]*t[100])/2 + 
     (3*B8[v, w, u]*HPL[{1}, 1 - u]*t[100])/2 - 
     (HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]^2*t[100])/16 + 
     (3*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^3*t[100])/16 - 
     (HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^4*t[100])/2 + 
     (3*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]^2*t[100])/16 - 
     (HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - u]*t[100])/4 + 
     2*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*t[100] - 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u]*t[100] - 
     (HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - v]*t[100])/8 + 
     (5*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*t[100])/24 - 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*t[100] + 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v]*t[100])/2 - 
     (3*HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - u]*t[100])/2 + 
     (25*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*t[100])/2 - 
     (19*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*t[100])/6 - 
     (7*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*t[100])/4 + 
     4*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v]*t[100] - 
     (5*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*t[100])/2 + 
     (19*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u]*t[100])/6 - 
     (HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*t[100])/2 + 
     (57*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]^2*t[100])/2 - 
     (13*HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - v]*t[100])/24 + 
     (23*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*t[100])/6 + 
     25*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*t[100] - 
     (57*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]^2*t[100])/2 - 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - u]*t[100] + 
     2*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v]*t[100] - 
     (3*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - u]*t[100])/2 + 
     9*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*t[100] - 
     (3*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u]*t[100])/
      2 + 11*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - v]*t[100] - 
     (59*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*t[100])/
      2 + (3*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v]*
       t[100])/2 + (3*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - u]*t[100])/2 - 
     (9*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*t[100])/
      2 - 6*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u]*
      t[100] - (9*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - v]*t[100])/2 + 
     6*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*t[100] - 
     3*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - v]*t[100] + 
     12*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*t[100] - 
     96*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*t[100] + 
     48*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*t[100] - 
     24*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v]*t[100] + 
     30*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*t[100] - 
     30*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*t[100] + 
     (9*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*t[100])/2 - 
     (9*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*t[100])/2 - 
     (HPL[{1}, 1 - u]^2*M1[u, v, w]*t[100])/4 + 2*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*M1[u, v, w]*t[100] + 
     (HPL[{1}, 1 - u]^2*M1[v, u, w]*t[100])/4 - 2*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*M1[v, u, w]*t[100] - 
     (5*HPL[{1}, 1 - u]^2*M1[v, w, u]*t[100])/4 + 
     (5*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[v, w, u]*t[100])/2 - 
     (3*HPL[{1}, 1 - u]^2*M1[w, u, v]*t[100])/4 + 
     3*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[w, u, v]*t[100] - 
     (HPL[{1}, 1 - u]^2*M1[w, v, u]*t[100])/4 - HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*M1[w, v, u]*t[100] + 
     (HPL[{1}, 1 - u]^2*Nt[u, v, w]*t[100])/2 - HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Nt[u, v, w]*t[100] + 
     (HPL[{1}, 1 - u]^3*Omega2[u, v, w]*t[100])/2 - 
     (3*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[u, v, w]*t[100])/2 + 
     4*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[u, v, w]*t[100] + 
     HPL[{1}, 1 - u]^3*Omega2[v, w, u]*t[100] - 
     (5*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[v, w, u]*t[100])/2 - 
     2*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[v, w, u]*t[100] - 
     (3*HPL[{1}, 1 - u]^3*Omega2[w, u, v]*t[100])/2 + 
     7*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[w, u, v]*t[100] - 
     2*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[w, u, v]*t[100] + 
     2*HPL[{1}, 1 - u]^2*Ot[u, v, w]*t[100] - 4*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Ot[u, v, w]*t[100] - 
     (16*HPL[{1}, 1 - u]^2*Qep[u, v, w]*t[100])/3 - 
     (64*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[u, v, w]*t[100])/3 - 
     (80*HPL[{1}, 1 - u]^2*Qep[u, w, v]*t[100])/3 + 
     (256*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[u, w, v]*t[100])/3 - 
     16*HPL[{1}, 1 - u]^2*Qep[v, u, w]*t[100] + 64*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Qep[v, u, w]*t[100] - 16*HPL[{1}, 1 - u]^2*Qep[v, w, u]*
      t[100] + (16*HPL[{1}, 1 - u]^2*Qep[w, u, v]*t[100])/3 + 
     (64*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[w, u, v]*t[100])/3 - 
     (112*HPL[{1}, 1 - u]^2*Qep[w, v, u]*t[100])/3 + 
     (128*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[w, v, u]*t[100])/3 + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, w, u]*(t[1]/2 - t[3]/6 - 
       (5*t[4])/6 + t[5]/2 - (21*t[6])/8 + (17*t[7])/6 - (19*t[8])/6 + 
       (4*t[9])/3 - (13*t[10])/12 - (19*t[11])/24 - t[12] + (19*t[13])/36 + 
       (113*t[14])/72 + t[15]/9 - t[31] + t[40] - (2*t[43])/3 + t[45] - 
       t[46]/2 - 2*t[47] - (5*t[48])/8 + (13*t[49])/12 + (41*t[50])/24 - 
       t[51]/6 - (41*t[52])/24 - (13*t[53])/12 - (37*t[54])/24 + t[59]/2 + 
       (3*t[60])/4 + (5*t[61])/4 + (2*t[62])/3 + (17*t[63])/6 - 
       (125*t[64])/24 - (37*t[65])/36 + (43*t[66])/36 - t[74] - t[77]/2 - 
       t[80] - t[81]/2 + t[82]/2 + t[83]/3 + t[84]/3 - (13*t[85])/12 + 
       (2*t[86])/3 - (7*t[87])/12 - (7*t[88])/24 - (47*t[89])/24 + t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[w, u, v]*
      (-t[1] + (3*t[3])/2 - 10*t[4] + t[5]/3 - (8*t[6])/3 + (3*t[7])/2 - 
       (7*t[8])/6 + (5*t[9])/6 + 7*t[10] - (10*t[11])/3 + (10*t[12])/3 - 
       (41*t[13])/12 - (29*t[14])/18 + (13*t[15])/36 - t[24]/3 + 
       (2*t[31])/3 - (2*t[43])/3 + t[44] + t[45] + t[46] - 2*t[47] - 
       t[48]/6 - t[49]/6 + t[50]/6 - t[51]/6 - t[52]/6 + t[53]/6 + t[54]/2 - 
       t[59] - t[60] - (17*t[61])/3 + (7*t[62])/6 - (5*t[63])/2 - 5*t[64] + 
       (125*t[65])/18 + (55*t[66])/18 + t[74] + t[75] + t[78] + 3*t[79] + 
       t[81] - (8*t[83])/3 + (7*t[84])/6 + t[85]/3 + (17*t[86])/3 - 
       (10*t[87])/3 - (5*t[88])/3 - (3*t[89])/2 + t[100]) + 
     HPL[{1}, 1 - w]^3*Omega2[u, v, w]*(-t[4]/2 - (7*t[5])/6 - (19*t[6])/12 + 
       t[7] - (7*t[8])/6 + (11*t[9])/6 + (5*t[10])/4 - (7*t[11])/12 + 
       (7*t[12])/12 - (17*t[13])/36 - (9*t[14])/8 - (29*t[15])/36 - t[24]/3 - 
       t[31]/3 - t[43]/6 + t[47] + t[48]/12 + t[49]/12 + (5*t[50])/12 - 
       t[51]/24 - (5*t[52])/12 - t[53]/12 - t[54]/4 - t[60]/2 - (5*t[61])/3 - 
       (13*t[62])/12 - t[63]/4 + (3*t[64])/4 + (23*t[65])/18 + t[66] + 
       t[79] + t[83]/3 + t[84]/6 - t[85]/6 + (5*t[86])/3 + t[87]/6 + 
       t[88]/12 + (3*t[89])/4 + t[100]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 0, 1}, 1 - u]*(-t[3]/2 + t[4]/18 + t[5]/36 + t[6]/2 + t[7] - 
       (11*t[8])/3 + (59*t[9])/36 + (9*t[10])/4 - t[11]/12 - t[12]/9 - 
       (61*t[13])/648 - (55*t[14])/72 - (7*t[15])/24 - t[24]/3 - t[31]/3 - 
       t[42] - (2*t[43])/9 + t[48]/12 + t[49]/12 + (5*t[50])/12 - t[51]/24 - 
       (5*t[52])/12 - t[53]/12 - t[54]/4 + (19*t[59])/18 + t[61]/3 - 
       (7*t[62])/9 + (22*t[63])/9 - (53*t[64])/18 + (58*t[65])/27 + 
       (26*t[66])/9 + t[83]/3 + t[84]/6 - t[85]/6 - t[86]/3 + t[87]/6 + 
       t[88]/12 + t[89] + t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      Omega2[v, w, u]*((-2*t[1])/3 - (5*t[2])/6 - (27*t[3])/8 - (10*t[4])/3 + 
       (397*t[5])/48 - (77*t[6])/24 + (49*t[7])/24 - (5*t[8])/24 - 
       (313*t[9])/48 + (197*t[10])/24 + (191*t[11])/24 - (41*t[12])/48 + 
       (2987*t[13])/432 + (199*t[14])/48 + (1535*t[15])/288 - t[26]/3 + 
       (2*t[27])/3 - (4*t[28])/3 - (2*t[29])/3 + (2*t[30])/3 - (2*t[32])/3 + 
       (2*t[33])/3 + t[34]/3 - (4*t[39])/3 + (4*t[40])/3 - t[41]/6 + 
       t[42]/6 + (11*t[43])/12 + (2*t[44])/3 + (2*t[45])/3 - 2*t[47] - 
       (17*t[48])/6 + (19*t[49])/12 + t[50]/2 - (7*t[51])/24 - (13*t[52])/6 - 
       (19*t[53])/12 - (10*t[54])/3 - t[58]/3 + (17*t[60])/6 + (67*t[61])/6 - 
       (29*t[62])/3 + (65*t[63])/6 - t[64] - (61*t[65])/36 - (335*t[66])/36 + 
       (7*t[76])/3 + t[77] - (4*t[78])/3 + (11*t[80])/3 + t[81] - t[82]/2 - 
       t[84]/2 + (13*t[85])/6 + 3*t[86] - (29*t[87])/6 - (29*t[88])/12 - 
       (13*t[89])/4 + t[97]/3 + 16*t[98] - 22*t[99] + t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      ((-61*t[2])/12 + (41*t[3])/12 - (515*t[4])/24 + (121*t[5])/12 - 
       (41*t[6])/8 - 6*t[7] - (25*t[8])/6 - (37*t[9])/3 - (117*t[10])/16 - 
       (395*t[11])/24 + (99*t[12])/16 - (463*t[13])/36 - (2233*t[14])/288 - 
       (257*t[15])/144 + t[19] + t[21] - t[23] - (2*t[25])/3 - (2*t[26])/3 + 
       (2*t[27])/3 - t[28]/3 - (2*t[29])/3 - t[30]/3 + (4*t[31])/3 + 
       t[34]/3 + t[37] + t[38] + t[39]/3 + (2*t[40])/3 + (5*t[41])/6 - 
       (5*t[42])/6 - (4*t[43])/3 + (2*t[44])/3 + (2*t[46])/3 - t[47] + 
       (5*t[48])/8 - (111*t[49])/16 - (31*t[50])/8 + (293*t[51])/96 + 
       (53*t[52])/24 + (119*t[53])/16 + 10*t[54] - t[58]/3 - t[59]/3 - 
       (175*t[60])/24 - (157*t[61])/8 + (55*t[62])/48 + (219*t[63])/16 + 
       (1505*t[64])/48 + (959*t[65])/72 + (209*t[66])/8 - t[69] + t[72] - 
       t[75] + (13*t[76])/3 + t[77]/3 - (22*t[78])/3 + 6*t[79] - t[80] - 
       (5*t[81])/6 + (29*t[82])/6 - (7*t[83])/2 + t[84]/24 - t[85]/24 + 
       (2*t[86])/3 - (35*t[87])/8 - (35*t[88])/16 - (121*t[89])/48 + 
       t[97]/3 + 16*t[98] - 22*t[99] + t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((11*t[1])/24 + (31*t[2])/24 + (103*t[3])/32 + (17*t[4])/3 - 
       (2993*t[5])/192 + (751*t[6])/96 - (185*t[7])/96 + (457*t[8])/96 + 
       (1721*t[9])/192 - (577*t[10])/96 - (1021*t[11])/96 + (757*t[12])/192 - 
       (8443*t[13])/1728 - (385*t[14])/64 - (3185*t[15])/384 + (2*t[26])/3 - 
       (4*t[27])/3 - t[28]/3 + (4*t[29])/3 - t[30]/3 + 2*t[31] + 
       (4*t[32])/3 - (4*t[33])/3 - (2*t[34])/3 + 3*t[35] - t[37] + 
       (7*t[39])/6 - (13*t[40])/6 + t[41]/3 - t[42]/3 - (133*t[43])/48 - 
       t[44]/3 + t[45]/24 - t[46]/4 + (5*t[47])/4 + (173*t[48])/48 - 
       (95*t[49])/48 + (15*t[50])/16 + (53*t[51])/96 + (115*t[52])/48 + 
       (95*t[53])/48 + (149*t[54])/48 + (2*t[58])/3 - (11*t[59])/8 - 
       (53*t[60])/12 - (61*t[61])/3 + (715*t[62])/48 - (1007*t[63])/48 - 
       (11*t[64])/16 + (767*t[65])/144 + (1465*t[66])/144 - t[69] - 
       (14*t[76])/3 - (9*t[77])/4 + (8*t[78])/3 - (79*t[80])/12 - 2*t[81] + 
       (15*t[82])/8 + t[83]/2 + (3*t[84])/4 - (25*t[85])/12 - (27*t[86])/4 + 
       (95*t[87])/12 + (95*t[88])/24 + (61*t[89])/8 - (2*t[97])/3 + 
       13*t[98] - 18*t[99] + t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      Omega2[w, u, v]*(t[1]/2 + t[2] + (23*t[3])/4 + 6*t[4] - (185*t[5])/8 + 
       (45*t[6])/4 + t[7]/4 + (9*t[8])/4 + (155*t[9])/8 - (79*t[10])/4 - 
       (51*t[11])/4 + (77*t[12])/8 - (331*t[13])/72 - (245*t[14])/24 - 
       (775*t[15])/48 + t[26] - 2*t[27] + 2*t[29] - 2*t[30] + 4*t[31] + 
       2*t[32] - 2*t[33] - t[34] + 8*t[35] - 2*t[37] + 2*t[39] - 4*t[40] + 
       t[41]/2 - t[42]/2 - 4*t[43] - (5*t[45])/2 - t[46] + 7*t[47] + 
       6*t[48] - 2*t[49] + 2*t[50] + (3*t[51])/4 + 3*t[52] + 2*t[53] + 
       3*t[54] + t[58] - (5*t[59])/2 - 8*t[60] - 30*t[61] + (31*t[62])/2 - 
       34*t[63] + (27*t[64])/2 + (49*t[65])/6 + (41*t[66])/6 - 2*t[69] - 
       7*t[76] - 2*t[77] + 4*t[78] - 2*t[80] - 3*t[81] + 4*t[82] + t[83] + 
       t[84] - 2*t[85] + 2*t[86] + 11*t[87] + (11*t[88])/2 + (21*t[89])/2 - 
       t[97] - 60*t[98] + 62*t[99] + t[100]) + HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*((-11*t[1])/16 - (19*t[2])/48 + 
       (37*t[3])/72 - (2191*t[4])/1152 + (401*t[5])/192 - (31*t[6])/48 - 
       (347*t[7])/288 - (1655*t[8])/288 - (667*t[9])/576 - 
       (1523*t[10])/2304 - (1603*t[11])/576 + (461*t[12])/256 + 
       (697*t[13])/3456 - (6125*t[14])/13824 + (14339*t[15])/6912 + 
       t[24]/12 + t[25]/12 - (11*t[26])/48 + t[27]/6 + t[28]/6 - t[29]/6 + 
       t[30]/6 + (23*t[31])/12 + t[34]/12 - t[35]/4 - (3*t[36])/8 + t[37]/2 + 
       t[38]/16 + t[39]/3 - t[40]/3 - t[41]/24 + t[42]/24 + (55*t[43])/72 + 
       (2*t[44])/3 + t[45] + (65*t[46])/96 - (9*t[47])/4 - (33*t[48])/32 - 
       (2617*t[49])/2304 - (269*t[50])/288 + (3397*t[51])/4608 + 
       (149*t[52])/288 + (2257*t[53])/2304 + (1135*t[54])/1152 - t[58]/12 + 
       (3*t[59])/32 + (425*t[60])/384 - (203*t[61])/384 + 
       (24067*t[62])/2304 + (5837*t[63])/2304 - (34061*t[64])/2304 + 
       (6593*t[65])/3456 + (5203*t[66])/3456 - t[72]/4 + (17*t[74])/24 + 
       t[75]/4 + (5*t[76])/6 + (7*t[77])/12 - t[78]/3 - (3*t[79])/16 - 
       t[80] + (35*t[81])/48 + (7*t[82])/12 - (91*t[83])/36 + 
       (301*t[84])/1152 + (1085*t[85])/1152 - (1325*t[86])/144 - 
       (4975*t[87])/1152 - (4975*t[88])/2304 - (3431*t[89])/2304 + t[97]/12 + 
       4*t[98] - 4*t[99] + (25*t[100])/24) + HPL[{1}, 1 - w]^4*
      HPL[{0, 0, 1}, 1 - u]*(-t[2]/48 - t[3]/6 - (51*t[4])/32 - 
       (25*t[5])/16 - (223*t[6])/72 + (59*t[7])/12 - (23*t[8])/16 + 
       (185*t[9])/48 + (277*t[10])/192 - (29*t[11])/32 + (63*t[12])/64 - 
       (845*t[13])/432 - (79*t[14])/384 - (415*t[15])/576 - (5*t[24])/12 - 
       (5*t[31])/12 - t[41]/24 - (7*t[42])/16 - t[43]/8 + (5*t[47])/6 - 
       (29*t[48])/48 - (85*t[49])/192 + (59*t[50])/48 + (85*t[51])/384 - 
       (59*t[52])/48 + (85*t[53])/192 + (7*t[54])/96 + (19*t[59])/144 + 
       (11*t[60])/12 - (51*t[61])/16 - (521*t[62])/192 - (119*t[63])/192 - 
       (31*t[64])/16 + (857*t[65])/288 + (713*t[66])/288 + t[79]/6 + 
       (5*t[83])/12 + (5*t[84])/24 - (5*t[85])/24 + (31*t[86])/8 - 
       (29*t[87])/24 - (29*t[88])/48 + t[89]/4 + (5*t[100])/4) + 
     B8[v, w, u]*HPL[{1}, 1 - w]*((3*t[2])/4 + t[3]/4 - (11*t[4])/2 + 
       (31*t[5])/8 + t[6]/2 + (9*t[7])/4 + (11*t[8])/4 - (13*t[9])/8 - 
       (5*t[10])/2 + t[11]/2 - (11*t[12])/8 - (7*t[13])/36 - (43*t[14])/24 + 
       (55*t[15])/48 + t[43]/2 + t[46]/2 - (5*t[49])/4 + t[51]/4 + 
       (5*t[53])/4 + t[54] - t[59]/2 - t[60]/4 - t[61]/4 - t[62]/8 - 
       (39*t[63])/8 + (15*t[64])/8 + (31*t[65])/12 + (5*t[66])/6 + t[74] + 
       2*t[80] + 3*t[86] - (5*t[89])/8 + (3*t[100])/2) + 
     B7[v, w, u]*HPL[{1}, 1 - w]*(t[3]/4 + t[4]/4 + (11*t[5])/8 - 
       (5*t[7])/4 - (7*t[8])/4 - (7*t[9])/8 - (7*t[10])/8 + t[11]/4 - 
       (3*t[12])/2 - t[13]/4 - (53*t[14])/48 + t[15]/16 + t[49]/8 - 
       t[51]/16 - t[53]/8 - (3*t[54])/4 - t[59]/2 - t[60]/4 - (3*t[61])/4 + 
       (9*t[62])/4 + (3*t[63])/4 - (5*t[64])/8 - (2*t[65])/3 + t[66]/4 - 
       2*t[86] - t[89]/8 + (3*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-t[1]/2 + (3*t[2])/4 + t[3]/4 + 3*t[4] + 
       (31*t[5])/8 - t[6]/2 + (31*t[7])/4 + (33*t[8])/4 - (5*t[9])/8 - 
       (51*t[10])/4 - 6*t[11] - (57*t[12])/8 + (19*t[13])/4 - (61*t[14])/12 - 
       (61*t[15])/48 - t[31] - t[35] - t[37] - t[43]/2 - (5*t[46])/2 + 
       t[48]/2 + (9*t[49])/2 + t[50]/2 - (3*t[51])/8 - t[52]/2 - 
       (9*t[53])/2 + t[59] - (5*t[60])/4 - (5*t[61])/4 - (55*t[62])/8 - 
       (121*t[63])/8 + (55*t[64])/8 - (67*t[65])/12 - (11*t[66])/6 + 
       t[67]/2 - 5*t[74] + 3*t[79] + 3*t[80] - t[85] + 14*t[86] + t[87] + 
       t[88]/2 - t[89]/8 + (3*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - w]*((-29*t[2])/96 + (79*t[3])/96 - (91*t[4])/24 + 
       (17*t[5])/32 + t[6]/48 - (35*t[7])/96 + (23*t[8])/32 + (41*t[9])/12 - 
       (69*t[10])/32 - (461*t[11])/96 + (5*t[12])/12 - (2159*t[13])/576 + 
       (785*t[14])/288 + (17*t[15])/64 - t[18]/3 - t[27]/6 + (4*t[28])/3 + 
       t[29]/6 - (7*t[30])/6 + (7*t[35])/8 - t[37]/4 + (2*t[39])/3 - 
       t[41]/8 + t[42]/8 - (2*t[44])/3 - t[46]/4 - t[47]/4 + (73*t[48])/96 + 
       t[49]/16 - (17*t[50])/96 - t[51]/96 + (17*t[52])/96 - t[53]/16 + 
       (23*t[54])/32 + (10*t[60])/3 - (119*t[61])/24 + (17*t[62])/16 + 
       (205*t[63])/24 - (299*t[64])/32 + (293*t[65])/36 + (61*t[66])/12 + 
       (2*t[69])/3 - (3*t[70])/8 + (3*t[71])/8 - (2*t[72])/3 - t[73]/2 + 
       (9*t[75])/4 + (3*t[78])/2 - (31*t[79])/48 + t[80]/4 + t[81]/3 + 
       t[82]/3 - (107*t[83])/48 + (17*t[84])/12 - t[85]/12 + (9*t[86])/16 - 
       (85*t[87])/24 - (85*t[88])/48 - t[89]/48 + (3*t[100])/2) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - w]*((-3*t[3])/4 - (39*t[4])/8 - 
       (59*t[5])/8 - (37*t[6])/4 + (57*t[7])/4 + 2*t[8] + (103*t[9])/8 + 
       (63*t[10])/16 - (19*t[11])/8 + (65*t[12])/16 - (53*t[13])/24 - 
       (271*t[14])/96 - (37*t[15])/12 - 2*t[24] - 2*t[31] - t[43] + 
       (9*t[47])/2 - t[48] - (19*t[49])/16 + 4*t[50] + (19*t[51])/32 - 
       4*t[52] + (19*t[53])/16 + (3*t[54])/8 + (3*t[60])/4 - (17*t[61])/2 - 
       (149*t[62])/16 - (123*t[63])/16 + (15*t[64])/8 + (229*t[65])/24 + 
       (71*t[66])/24 + 3*t[79] + 2*t[83] + t[84] - t[85] + (29*t[86])/2 - 
       2*t[87] - t[88] + (9*t[89])/8 + (3*t[100])/2) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-3*t[2])/8 + (2*t[3])/3 - (5*t[4])/3 + (5*t[5])/12 + t[6] - 
       (4*t[7])/3 + (7*t[8])/12 + (7*t[9])/8 - (3*t[10])/2 - (37*t[11])/12 - 
       (23*t[12])/24 - (65*t[13])/36 + (55*t[14])/48 - (59*t[15])/48 - 
       (2*t[27])/3 + t[28]/3 + (2*t[29])/3 - (2*t[30])/3 + t[35] + t[39]/6 - 
       t[44]/6 - t[46]/4 + (23*t[48])/12 + (3*t[49])/4 - (13*t[50])/12 - 
       (11*t[51])/48 + (13*t[52])/12 - (3*t[53])/4 + (3*t[54])/4 + 
       (7*t[60])/3 - (5*t[61])/2 + (3*t[62])/4 + (77*t[63])/12 - t[64]/3 + 
       (205*t[65])/36 + (49*t[66])/18 - t[72]/6 - t[73]/2 + (5*t[75])/2 + 
       (3*t[78])/2 + t[81]/3 + t[82]/3 - (11*t[83])/3 + (7*t[84])/6 - 
       t[85]/3 - (13*t[87])/6 - (13*t[88])/12 + (7*t[89])/6 + (3*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      (-t[3]/6 + (8*t[4])/3 + (4*t[5])/3 - 2*t[6] + (4*t[7])/3 - 
       (13*t[8])/3 - (7*t[9])/2 + (16*t[11])/3 - (2*t[12])/3 + 
       (67*t[13])/18 - (23*t[14])/6 + (13*t[15])/12 + (2*t[27])/3 - 
       (4*t[28])/3 + t[29]/3 + (2*t[30])/3 - (2*t[39])/3 + (2*t[44])/3 - 
       (5*t[48])/3 + (7*t[50])/3 + t[51]/6 - (7*t[52])/3 - 3*t[54] - 
       (10*t[60])/3 + 5*t[61] - (26*t[63])/3 + (17*t[64])/6 - (88*t[65])/9 - 
       (35*t[66])/9 + (2*t[72])/3 - 4*t[75] - 2*t[78] - (4*t[81])/3 + 
       (2*t[82])/3 + (11*t[83])/3 - (5*t[84])/3 - (2*t[85])/3 + 
       (11*t[87])/3 + (11*t[88])/6 - (8*t[89])/3 - 2*t[99] + (3*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-5*t[1])/24 + t[2]/8 + t[3]/16 + (319*t[4])/48 - (173*t[5])/96 - 
       (69*t[6])/32 + (65*t[7])/48 - (35*t[8])/16 - (43*t[9])/96 + 
       (71*t[10])/48 + (427*t[11])/96 - (127*t[12])/96 + (431*t[13])/96 - 
       (193*t[14])/192 - (995*t[15])/576 + t[25]/6 - t[26]/6 + t[27]/2 - 
       t[28]/4 - t[29]/4 - t[31]/4 - t[36]/6 + (5*t[37])/3 - t[39]/4 + 
       t[40]/6 - (49*t[46])/24 - (85*t[48])/96 + (47*t[49])/48 + 
       (45*t[50])/32 + (181*t[51])/192 - (119*t[52])/96 - (61*t[53])/48 - 
       (481*t[54])/96 + (11*t[59])/12 + (119*t[60])/48 - t[61]/3 - 
       (191*t[62])/32 - (911*t[63])/96 - (97*t[64])/48 - (277*t[65])/144 - 
       (1285*t[66])/144 - t[69]/2 - t[70]/3 + t[71]/3 + t[72]/2 + 
       (5*t[74])/12 - (3*t[75])/4 + t[76]/4 - t[77]/4 - (5*t[78])/4 + 
       t[80]/4 - (5*t[81])/12 + t[82]/2 + (17*t[83])/4 + (67*t[84])/24 + 
       (73*t[85])/24 + (17*t[86])/2 + (43*t[87])/24 + (203*t[88])/48 + 
       (59*t[89])/96 - (5*t[95])/6 + t[96]/2 - t[97]/12 + 2*t[98] - 2*t[99] + 
       (37*t[100])/24) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((23*t[1])/36 - (367*t[2])/144 - (53*t[3])/96 - 
       14*t[4] + (2897*t[5])/576 + (277*t[6])/216 + (299*t[7])/288 + 
       (3491*t[8])/288 - (2053*t[9])/192 - (2303*t[10])/96 + (43*t[11])/2 - 
       (2285*t[12])/576 + (25489*t[13])/5184 - (3977*t[14])/576 + 
       (109*t[15])/1152 - t[17]/2 + (41*t[18])/27 + t[22]/18 + (2*t[23])/3 + 
       (7*t[24])/3 + t[26]/36 + t[27]/6 - (5*t[28])/6 - t[29]/6 + 
       (5*t[30])/12 + (5*t[31])/6 - t[33]/18 - (73*t[34])/36 - t[35]/3 + 
       t[37]/2 + t[38]/2 - t[39]/9 + (5*t[40])/36 + (25*t[41])/24 - 
       (19*t[42])/216 + (163*t[43])/24 + (13*t[44])/6 - (2399*t[45])/144 + 
       (181*t[46])/36 + (1817*t[47])/72 + (1021*t[48])/288 - (37*t[49])/9 - 
       (1411*t[50])/288 + (79*t[51])/144 + (1163*t[52])/288 + (37*t[53])/9 + 
       (1163*t[54])/288 + t[58]/36 - (389*t[59])/216 - (83*t[60])/16 + 
       (5471*t[61])/144 - (3737*t[62])/288 - (521*t[63])/32 + 
       (3025*t[64])/32 - (289*t[65])/48 - (16055*t[66])/432 + t[67]/12 - 
       (7*t[69])/6 + (2*t[70])/3 - (2*t[71])/3 + t[72] - (11*t[73])/4 + 
       (77*t[74])/18 + (13*t[75])/4 - (89*t[76])/18 - t[77] + (28*t[78])/9 - 
       (53*t[79])/6 + (187*t[80])/4 - (145*t[81])/72 + (97*t[82])/72 - 
       (19*t[83])/6 - t[84] - (959*t[85])/144 + (94*t[86])/9 + 
       (2515*t[87])/144 + (2515*t[88])/288 + (2869*t[89])/288 - 
       (5*t[97])/18 - (179*t[98])/6 + (167*t[99])/6 + (23*t[100])/12) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (t[1] + (5*t[3])/3 - (20*t[4])/3 + 2*t[5] - (31*t[6])/4 + (8*t[7])/3 + 
       (26*t[8])/3 - (4*t[9])/3 + (43*t[10])/3 - (61*t[11])/12 + t[12]/2 - 
       (7*t[13])/9 - (107*t[14])/18 - (16*t[15])/9 - 2*t[31] - (7*t[43])/3 - 
       t[46] + (5*t[48])/4 + (8*t[49])/3 + (23*t[50])/12 - (7*t[51])/12 - 
       (23*t[52])/12 - (8*t[53])/3 - (7*t[54])/12 - (11*t[60])/2 - 
       (13*t[61])/2 - (37*t[62])/6 + (19*t[63])/6 + (169*t[64])/12 - 
       (7*t[65])/18 - (47*t[66])/18 - 2*t[74] + 4*t[79] - t[81] + t[82] + 
       (2*t[83])/3 - t[84]/3 - (19*t[85])/6 + (58*t[86])/3 + (23*t[87])/6 + 
       (23*t[88])/12 - (17*t[89])/12 + 2*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-19*t[1])/6 - t[2]/6 + (2*t[3])/3 - (49*t[4])/6 + (5*t[5])/2 - 
       (17*t[6])/3 + (9*t[7])/2 + (29*t[8])/6 - 2*t[9] - (4*t[10])/3 - 
       (49*t[11])/12 + 4*t[12] - (793*t[13])/216 - (35*t[14])/36 - t[15]/2 - 
       2*t[31] - (4*t[43])/3 - t[46] + (5*t[48])/4 + (13*t[49])/6 + 
       (23*t[50])/12 - t[51]/3 - (23*t[52])/12 - (13*t[53])/6 - 
       (19*t[54])/12 + (13*t[59])/6 - (9*t[60])/2 - (3*t[61])/2 - 7*t[62] - 
       t[63] + (31*t[64])/4 - (5*t[65])/18 + (85*t[66])/18 - 2*t[74] - 
       t[81] + t[82] + (2*t[83])/3 - t[84]/3 - (19*t[85])/6 + (34*t[86])/3 + 
       (23*t[87])/6 + (23*t[88])/12 - (11*t[89])/12 + 2*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[u, v, w]*(t[1]/2 + t[3]/6 + t[4]/3 + 
       (3*t[5])/2 - (17*t[6])/8 + (19*t[7])/6 + (13*t[8])/6 - (4*t[9])/3 - 
       (7*t[10])/6 - (59*t[11])/24 - (7*t[12])/4 - (19*t[13])/36 - 
       (49*t[14])/36 - t[15]/36 - t[31] - t[43]/3 - t[46]/2 + (3*t[48])/8 + 
       (7*t[49])/6 + (25*t[50])/24 - (5*t[51])/24 - (25*t[52])/24 - 
       (7*t[53])/6 - (17*t[54])/24 + t[59]/2 - (9*t[60])/4 - (3*t[61])/4 - 
       (35*t[62])/12 - (31*t[63])/12 + (83*t[64])/24 - (59*t[65])/36 + 
       (131*t[66])/36 - t[74] - t[81]/2 + t[82]/2 + (2*t[83])/3 - t[84]/3 - 
       (17*t[85])/12 + (16*t[86])/3 + (25*t[87])/12 + (25*t[88])/24 - 
       (7*t[89])/24 + 2*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - w]*((3*t[2])/8 + (2*t[3])/3 - (9*t[4])/4 + (9*t[5])/8 - 
       (47*t[6])/48 - (11*t[7])/24 + (43*t[8])/24 - (11*t[9])/6 + 
       (4*t[10])/3 - (139*t[11])/48 + (7*t[12])/12 + (17*t[13])/72 - 
       (127*t[14])/48 - (29*t[15])/72 - t[31]/2 - t[42]/8 - (7*t[43])/12 - 
       t[46]/4 + (7*t[48])/16 + (13*t[49])/24 + (5*t[50])/48 - t[51]/12 - 
       (5*t[52])/48 - (13*t[53])/24 - t[54]/48 - (89*t[60])/24 - 
       (13*t[61])/8 - (17*t[62])/12 - (19*t[63])/12 + (235*t[64])/48 - 
       (13*t[65])/24 + (25*t[66])/24 - t[74]/2 + (5*t[79])/4 - t[81]/4 + 
       t[82]/4 + (2*t[83])/3 - t[84]/3 - (13*t[85])/24 + (43*t[86])/12 + 
       (53*t[87])/24 + (53*t[88])/48 + (7*t[89])/48 + 2*t[100]) + 
     HPL[{1}, 1 - w]^2*Ot[u, v, w]*((-15*t[4])/8 - (31*t[5])/12 - 
       (43*t[6])/12 + 5*t[7] + (5*t[8])/12 + (59*t[9])/12 + (23*t[10])/16 - 
       (37*t[11])/24 + (65*t[12])/48 - (107*t[13])/72 - (445*t[14])/288 - 
       (175*t[15])/144 - (2*t[24])/3 - (2*t[31])/3 - t[43]/3 + (3*t[47])/2 - 
       t[48]/3 - (13*t[49])/48 + (4*t[50])/3 + (13*t[51])/96 - (4*t[52])/3 + 
       (13*t[53])/48 - t[54]/8 - (55*t[61])/12 - (161*t[62])/48 - 
       (37*t[63])/16 + t[64] + (289*t[65])/72 + (161*t[66])/72 + t[79] + 
       (2*t[83])/3 + t[84]/3 - t[85]/3 + (35*t[86])/6 - (2*t[87])/3 - 
       t[88]/3 + (3*t[89])/4 + 2*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*((-11*t[1])/24 - (43*t[2])/16 - 
       (11*t[3])/144 - (97*t[4])/36 - t[5]/24 - (59*t[6])/96 - 
       (359*t[7])/144 - (821*t[8])/144 - (293*t[9])/144 + (437*t[10])/144 - 
       (583*t[11])/288 - (5*t[12])/24 - (2845*t[13])/864 + (53*t[14])/54 + 
       (31*t[15])/432 - t[19]/4 - t[21]/4 + t[23]/4 - t[28]/4 + t[30]/4 + 
       t[31] + t[35] + (3*t[37])/4 - t[39]/4 + (19*t[43])/36 + t[44]/2 + 
       t[45] + (17*t[46])/24 - (9*t[47])/4 + (43*t[48])/96 + (7*t[49])/36 - 
       (331*t[50])/288 - (91*t[51])/288 + (331*t[52])/288 - (7*t[53])/36 - 
       (37*t[54])/288 - t[59]/12 + (17*t[60])/16 - (95*t[61])/48 + 
       (355*t[62])/72 + (58*t[63])/9 - (1007*t[64])/288 + (1883*t[65])/432 + 
       (757*t[66])/432 + t[69]/4 - t[72]/4 + (11*t[74])/12 + (5*t[75])/4 + 
       t[78] - (5*t[79])/8 - (9*t[80])/4 + (7*t[81])/8 - t[82]/8 - 
       (241*t[83])/72 + (71*t[84])/72 + (101*t[85])/144 - (293*t[86])/72 - 
       (529*t[87])/144 - (529*t[88])/288 + (265*t[89])/288 - t[99]/2 + 
       (25*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w]*(t[1]/8 + t[2]/32 - (229*t[3])/48 + 
       (731*t[4])/48 - (1517*t[5])/96 + (21*t[6])/16 - (701*t[7])/96 - 
       (217*t[8])/32 + (21*t[9])/8 - (163*t[10])/24 + (22*t[11])/3 - 
       (403*t[12])/96 + (3691*t[13])/288 + (407*t[14])/192 - (123*t[15])/32 - 
       t[19]/3 - t[21]/2 + t[23]/2 + (2*t[24])/3 - (4*t[27])/3 - 
       (13*t[28])/3 - (2*t[29])/3 + t[30]/6 + (5*t[31])/3 + 4*t[35] - 
       (9*t[37])/4 - t[39]/6 - t[41]/2 + t[42]/2 - (19*t[43])/24 + 
       (13*t[44])/6 - t[45] - 3*t[46] + (23*t[47])/12 - (81*t[48])/16 + 
       (281*t[49])/96 + (125*t[50])/48 + (23*t[51])/64 - (125*t[52])/48 - 
       (281*t[53])/96 - (151*t[54])/24 - t[59] - (349*t[60])/48 + 
       (589*t[61])/48 - (151*t[62])/32 + (337*t[63])/32 + (55*t[64])/6 - 
       (69*t[65])/4 - (166*t[66])/9 + t[69]/2 + (11*t[72])/12 - 2*t[73] - 
       2*t[74] - t[75] + t[77]/8 - (143*t[79])/48 - t[80]/2 - (25*t[81])/12 - 
       (7*t[82])/12 + (69*t[83])/4 - (15*t[84])/8 + (23*t[85])/12 + 
       (11*t[86])/16 + 11*t[87] + (11*t[88])/2 + (13*t[89])/32 + t[99] + 
       (17*t[100])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*
      ((5*t[2])/32 + (7*t[3])/16 - t[4]/32 + (21*t[5])/32 + (43*t[6])/96 - 
       (2*t[7])/3 + (11*t[8])/12 - (25*t[9])/24 - (87*t[10])/64 - 
       (59*t[11])/48 + (91*t[12])/192 + (109*t[13])/864 - (2101*t[14])/1152 - 
       (29*t[15])/192 + t[27]/6 - t[28]/3 - t[29]/6 + t[30]/6 + t[31]/4 + 
       t[35]/4 - t[37]/4 - t[39]/6 - t[43]/24 + t[44]/12 - t[45]/4 - 
       t[46]/16 + (3*t[47])/4 - (5*t[48])/32 - (21*t[49])/64 + (5*t[50])/96 + 
       (73*t[51])/384 - (5*t[52])/96 + (21*t[53])/64 + (11*t[54])/48 - 
       t[59]/8 - (17*t[60])/24 - (5*t[61])/48 + (119*t[62])/192 - 
       (5*t[63])/64 + (7*t[64])/2 - (367*t[65])/288 + (167*t[66])/96 + 
       t[72]/6 - (5*t[73])/24 - t[74]/6 - t[75]/2 - t[76]/12 - t[78]/4 + 
       (19*t[79])/24 + t[80]/6 - t[81]/2 + (5*t[82])/6 + (23*t[83])/24 - 
       (7*t[84])/16 + (5*t[85])/48 + (17*t[86])/24 + (65*t[87])/48 + 
       (65*t[88])/96 - t[89]/16 - t[98]/2 + t[99]/2 + (9*t[100])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^4*((-27*t[2])/32 + (11*t[3])/32 - 
       (59*t[4])/64 - t[5]/32 - (73*t[6])/64 + (75*t[7])/32 - (35*t[8])/16 - 
       (17*t[9])/32 + (95*t[10])/128 - (3*t[11])/32 + (31*t[12])/128 - 
       (125*t[13])/576 - (799*t[14])/768 - (41*t[15])/128 - t[24]/8 - 
       (5*t[28])/8 + (3*t[30])/8 + (3*t[31])/4 + (3*t[35])/4 - t[37]/8 - 
       t[39]/4 + t[41]/16 - t[42]/16 + t[43]/8 + (5*t[44])/8 + t[45]/4 + 
       t[46]/4 - (3*t[47])/8 - (47*t[48])/64 + (5*t[49])/128 + 
       (21*t[50])/64 - (5*t[51])/256 - (21*t[52])/64 - (5*t[53])/128 - 
       (9*t[54])/32 - t[59]/8 - (9*t[60])/32 - (19*t[61])/16 + 
       (73*t[62])/128 - (377*t[63])/128 - (27*t[64])/64 - (119*t[65])/192 + 
       (43*t[66])/64 + t[72]/4 + t[74]/4 + (5*t[79])/16 - t[80]/8 - 
       t[81]/16 + (7*t[82])/16 - (7*t[83])/16 - t[84]/4 + (13*t[85])/32 + 
       (3*t[86])/4 - (25*t[87])/32 - (25*t[88])/64 - (21*t[89])/64 + 
       (19*t[100])/8) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*(-t[99]/2 + (31*t[100])/12) + 
     B6[u, v, w]*HPL[{1}, 1 - w]*((-3*t[2])/4 + t[3] + (9*t[5])/4 - t[6]/8 - 
       (5*t[7])/2 - 5*t[9] + (9*t[10])/2 - (13*t[11])/8 + t[12]/4 - 
       (29*t[13])/36 - (19*t[14])/8 + t[15]/4 + t[20] + t[32] - t[40] + 
       t[45] - t[47] + (3*t[48])/8 + (3*t[50])/8 + (5*t[52])/8 - 
       (3*t[54])/8 - (3*t[60])/4 - (9*t[61])/4 - (3*t[63])/2 - (5*t[64])/8 - 
       (23*t[65])/12 + (9*t[66])/4 + t[77]/2 + t[79] - 2*t[80] - t[81]/2 + 
       t[82]/2 - t[84] - (3*t[85])/4 - t[86] + (3*t[87])/4 + (3*t[88])/8 - 
       (7*t[89])/8 + 3*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, u, v]*
      (-t[1]/2 + t[3]/2 + 3*t[4] + (3*t[5])/2 - (19*t[6])/8 + (3*t[7])/2 + 
       t[8]/2 - (3*t[9])/2 + (5*t[10])/4 - (27*t[11])/8 + t[12]/2 + t[13]/3 + 
       (5*t[14])/8 - (2*t[15])/3 - t[31] - t[43]/2 - t[46]/2 + t[48]/8 + 
       (9*t[49])/4 + (9*t[50])/8 - (3*t[51])/4 - (9*t[52])/8 - (9*t[53])/4 - 
       (9*t[54])/8 + (3*t[59])/2 - (11*t[60])/4 - (5*t[61])/4 - 3*t[62] + 
       t[63]/2 + (23*t[64])/8 - (19*t[65])/4 + (17*t[66])/12 - t[74] - 
       t[81]/2 + t[82]/2 + t[83] - t[84]/2 - (5*t[85])/4 + 4*t[86] + 
       (9*t[87])/4 + (9*t[88])/8 - (3*t[89])/8 + 3*t[100]) + 
     B6[w, u, v]*HPL[{1}, 1 - w]*(t[2]/4 + t[3]/2 - (23*t[4])/4 + 
       (11*t[5])/4 + t[7]/2 + t[8]/2 - 2*t[9] - (9*t[10])/8 - (5*t[11])/4 + 
       (3*t[12])/8 - (37*t[13])/36 - (97*t[14])/48 + (29*t[15])/24 - 
       t[41]/2 + t[42]/2 + t[43] + t[46]/2 - (15*t[49])/8 + (9*t[51])/16 + 
       (15*t[53])/8 + (3*t[54])/4 - t[60]/2 - (5*t[61])/2 + (11*t[62])/8 - 
       (19*t[63])/8 + (5*t[64])/4 + (15*t[65])/4 + (11*t[66])/4 + t[74] + 
       2*t[80] + 2*t[86] - t[89]/4 + 3*t[100]) + B5[w, u, v]*HPL[{1}, 1 - w]*
      (-t[2]/2 + t[3]/2 + t[5]/4 - (3*t[7])/2 - (3*t[8])/2 - t[9]/4 + 
       (3*t[10])/2 - (5*t[11])/2 - t[12]/4 - (3*t[13])/2 - (5*t[14])/4 + 
       t[15]/8 - t[41]/2 + t[42]/2 - t[54] - t[60]/2 - 2*t[61] + 
       (11*t[62])/4 + t[63]/4 - (7*t[64])/4 + (5*t[65])/6 + (17*t[66])/6 - 
       2*t[86] + t[89]/4 + 3*t[100]) + B5[w, v, u]*HPL[{1}, 1 - w]*
      ((3*t[2])/2 - (3*t[5])/4 - t[6] + t[7]/2 - t[8]/2 + (3*t[9])/4 + 
       t[10] - t[11] + t[12]/4 - t[13]/4 - (2*t[14])/3 - (5*t[15])/8 + 
       t[27] - t[48]/2 - t[49]/2 + t[50]/2 + t[51]/4 - t[52]/2 + t[53]/2 - 
       t[54]/2 + t[60]/2 - 3*t[61] + t[62]/4 - (9*t[63])/4 - t[64]/4 + 
       (7*t[65])/6 + (5*t[66])/6 + t[83] + t[85] + (3*t[89])/4 + 3*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*((45*t[1])/2 + 8*t[2] + 
       (67*t[3])/4 + (13*t[4])/4 - (671*t[5])/8 - (429*t[6])/4 + 
       (215*t[7])/4 - (877*t[8])/4 + (667*t[9])/8 + (69*t[10])/8 + 
       (371*t[11])/4 - (29*t[12])/4 + (8341*t[13])/72 - (75*t[14])/16 - 
       (793*t[15])/16 + 2*t[16] - 8*t[25] + 9*t[26] + 12*t[27] + 14*t[28] - 
       (27*t[29])/2 - 8*t[30] + 4*t[31] + 2*t[32] - 2*t[33] + t[34] + 
       12*t[35] + 8*t[36] + 10*t[37] + 24*t[38] + 31*t[39] - 9*t[40] - 
       t[41]/2 + t[42]/2 - (11*t[43])/2 + (93*t[44])/2 - (25*t[45])/2 - 
       8*t[46] + 27*t[47] - (115*t[48])/2 - (103*t[49])/8 + (65*t[50])/2 + 
       (335*t[51])/16 - (59*t[52])/2 + (159*t[53])/8 - (59*t[54])/4 - t[58] - 
       13*t[59] - (79*t[60])/4 - (501*t[61])/4 - (329*t[62])/8 + 
       (321*t[63])/8 + (1721*t[64])/8 - (883*t[65])/12 - (3203*t[66])/12 - 
       t[68] - 8*t[69] - 4*t[70] + 4*t[71] - 8*t[72] + 124*t[73] + 14*t[74] - 
       156*t[75] + 116*t[76] + 3*t[77] - 123*t[78] + 8*t[79] + 30*t[80] + 
       23*t[81] - 40*t[82] + 20*t[83] + (93*t[84])/4 + (199*t[85])/4 + 
       39*t[86] - (183*t[87])/4 - (323*t[88])/8 + (79*t[89])/8 + t[90] - 
       t[91]/3 + 8*t[95] + 4*t[96] - 3*t[97] + 672*t[98] - 864*t[99] + 
       3*t[100]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-t[1] - (87*t[2])/2 - (39*t[3])/4 - (39*t[4])/4 + (277*t[5])/8 - 
       (309*t[6])/4 - (85*t[7])/4 - (753*t[8])/4 - (229*t[9])/8 + 
       (629*t[10])/8 + (261*t[11])/4 + (267*t[12])/4 + (4007*t[13])/72 + 
       (1889*t[14])/48 - (223*t[15])/48 - t[16] + 6*t[18] + 8*t[21] + 
       4*t[22] - 8*t[23] + 8*t[24] + 12*t[25] + 15*t[26] + 10*t[27] + 
       16*t[28] - (15*t[29])/2 - 4*t[30] + 14*t[31] - 4*t[32] + 4*t[33] + 
       5*t[34] + 4*t[35] - 12*t[36] - 4*t[37] + 2*t[38] + 23*t[39] - 
       5*t[40] + 6*t[41] - (7*t[42])/2 - t[43]/2 + (47*t[44])/2 + 21*t[45] + 
       14*t[46] - 32*t[47] - 49*t[48] - (43*t[49])/8 + 5*t[50] - 
       (311*t[51])/16 - 14*t[52] + (59*t[53])/8 - (161*t[54])/4 + t[58] - 
       10*t[59] - (13*t[60])/4 - (567*t[61])/4 + (973*t[62])/8 + 
       (1035*t[63])/8 - (361*t[64])/8 - (1057*t[65])/12 - (1333*t[66])/12 + 
       t[68] - 8*t[69] - 12*t[70] + 12*t[71] - 12*t[72] + 98*t[73] - 
       10*t[74] - 98*t[75] + 109*t[76] - 6*t[77] - 129*t[78] + 36*t[79] - 
       54*t[80] + 6*t[81] + 19*t[82] - 24*t[83] - (23*t[84])/4 + 
       (265*t[85])/4 - 232*t[86] - (209*t[87])/4 - (209*t[88])/8 + 
       (99*t[89])/8 + t[90] - t[91]/3 + t[97] + 672*t[98] - 864*t[99] + 
       3*t[100]) + B6[u, v, w]*HPL[{1}, 1 - u]*(6*t[98] - 6*t[99] + 
       3*t[100]) + B6[w, v, u]*HPL[{1}, 1 - w]*((3*t[2])/2 + t[3]/2 + 
       (7*t[4])/4 - (33*t[6])/8 + (7*t[7])/2 - 7*t[8] + t[9] + (5*t[10])/8 + 
       (21*t[11])/8 - (5*t[12])/8 + t[13]/4 - (35*t[14])/16 - (13*t[15])/24 + 
       t[27] + 2*t[44] + t[46]/2 - (13*t[48])/8 + (3*t[49])/8 + 
       (19*t[50])/8 - (9*t[51])/16 - (19*t[52])/8 - (3*t[53])/8 - 
       (33*t[54])/8 - (5*t[60])/4 - (3*t[61])/4 + (9*t[62])/8 - 
       (29*t[63])/8 - (23*t[64])/8 - (7*t[65])/3 - t[66]/6 + t[73] - t[75] + 
       t[76] - t[78] - t[81]/2 + t[82]/2 + t[85]/4 + (3*t[87])/4 + 
       (3*t[88])/8 - (9*t[89])/8 + 6*t[98] - 6*t[99] + 3*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*
      ((-21*t[2])/8 - (7*t[3])/24 - (61*t[4])/12 + (39*t[5])/8 - 
       (13*t[6])/12 + (11*t[7])/24 - (109*t[8])/24 - (121*t[9])/12 + 
       3*t[10] - (41*t[11])/24 + t[12]/8 - (457*t[13])/144 - 
       (383*t[14])/144 + (461*t[15])/144 + t[24]/3 + (2*t[27])/3 - 
       (5*t[28])/6 - (2*t[29])/3 + (2*t[30])/3 + (11*t[31])/6 + t[37]/2 - 
       (2*t[39])/3 + t[41]/4 - t[42]/4 + (11*t[43])/12 + (7*t[44])/6 + 
       t[45] + t[46] - (7*t[47])/2 - (11*t[48])/8 - (23*t[49])/24 + 
       (13*t[50])/24 + (19*t[51])/48 - (13*t[52])/24 + (23*t[53])/24 + 
       (3*t[54])/8 - (23*t[60])/6 + (19*t[61])/6 + (149*t[62])/24 - 
       (199*t[63])/24 + (113*t[64])/24 - (209*t[65])/36 + (209*t[66])/36 + 
       (2*t[72])/3 + t[74] - (5*t[75])/2 - t[78] - t[79]/4 - t[80]/2 - 
       t[81]/3 + (7*t[82])/6 + t[83]/12 - (5*t[84])/6 + t[85]/2 - 
       (35*t[86])/12 + t[87]/2 + t[88]/4 - (41*t[89])/12 - 2*t[99] + 
       3*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((-4*t[1])/3 + (3*t[2])/16 + (5*t[3])/8 + 
       (107*t[4])/16 + (41*t[5])/48 - (5*t[6])/8 - (47*t[7])/24 - t[8]/24 - 
       (29*t[9])/12 + (29*t[10])/32 - (119*t[11])/48 + (77*t[12])/32 + 
       (37*t[13])/48 + (155*t[14])/576 - (59*t[15])/32 + t[27]/3 - 
       (2*t[28])/3 - t[29]/3 + t[30]/3 + t[31]/2 + t[35]/2 - t[37]/6 - 
       t[39]/3 - (5*t[43])/12 - t[44]/6 - t[45]/2 - (17*t[46])/24 + 
       (3*t[47])/2 - (13*t[48])/12 + (193*t[49])/96 + t[50]/2 - 
       (49*t[51])/64 - t[52]/2 - (193*t[53])/96 - (17*t[54])/48 + 
       (13*t[59])/12 - (11*t[60])/24 - (17*t[61])/4 - (161*t[62])/96 + 
       (107*t[63])/32 + (285*t[64])/16 - (1697*t[65])/144 - (973*t[66])/144 - 
       t[67]/12 + t[72]/3 - t[73]/4 - (2*t[74])/3 - t[75] + t[77]/2 - t[78] + 
       (17*t[79])/12 - (3*t[80])/2 - (17*t[81])/12 + (13*t[82])/12 - 
       (4*t[83])/3 - (11*t[84])/8 + (13*t[85])/12 - (21*t[86])/4 + 3*t[87] + 
       (3*t[88])/2 + (319*t[89])/48 + 2*t[99] + (19*t[100])/6) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - v]*((317*t[2])/48 + (245*t[3])/96 - 
       (47*t[4])/96 + (1529*t[5])/288 - (11917*t[6])/1152 + (25*t[7])/24 - 
       (1787*t[8])/144 - (2393*t[9])/576 + (43*t[10])/192 + 
       (10513*t[11])/1152 - (377*t[12])/576 + (479*t[13])/216 - 
       (29*t[14])/864 + (6869*t[15])/3456 - (5*t[18])/12 - (3*t[23])/8 - 
       (13*t[24])/36 + (9*t[29])/16 - (13*t[30])/4 + (23*t[31])/36 + 
       (15*t[32])/8 - (9*t[33])/4 - (59*t[35])/24 - t[37]/4 - t[41]/8 + 
       t[42]/8 + (5*t[43])/72 - (135*t[44])/32 + t[47]/6 - 
       (6811*t[48])/1152 - (29*t[49])/576 + (1801*t[50])/1152 + 
       (29*t[51])/1152 - (1801*t[52])/1152 + (29*t[53])/576 - 
       (1321*t[54])/128 - (5*t[59])/2 - (197*t[60])/192 - (959*t[61])/576 - 
       (6071*t[62])/1152 + (3493*t[63])/384 - (955*t[64])/384 - 
       (16139*t[65])/1728 - (29845*t[66])/1728 - t[67]/48 + t[70]/24 - 
       (5*t[71])/48 + (31*t[74])/24 - (9*t[75])/4 - (9*t[76])/16 + 
       (65*t[79])/48 + t[80]/4 + (589*t[83])/144 - (1381*t[84])/576 - 
       (581*t[85])/576 - (355*t[86])/144 - (3439*t[87])/576 - 
       (3403*t[88])/1152 - (3719*t[89])/384 + (10*t[100])/3) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - v]*(t[2]/12 + (17*t[3])/4 + 
       (13*t[4])/3 + (85*t[5])/24 + (21*t[6])/4 - (197*t[7])/12 + t[8]/4 - 
       (301*t[9])/24 - (35*t[10])/4 - (4*t[11])/3 - (109*t[12])/24 + 
       (547*t[13])/72 - (179*t[14])/24 + (7*t[15])/144 - t[18] - t[21]/3 + 
       (7*t[24])/3 + (7*t[31])/3 - t[35]/3 - t[37]/3 - t[41]/6 + 
       (2*t[42])/3 + (7*t[43])/6 - t[45]/3 + (4*t[47])/3 + (13*t[48])/12 + 
       (5*t[49])/3 - (53*t[50])/12 - (5*t[51])/6 + (53*t[52])/12 - 
       (5*t[53])/3 - (5*t[54])/4 - (53*t[60])/12 - (61*t[61])/12 + 
       (75*t[62])/8 - (25*t[63])/24 + (305*t[64])/24 - (23*t[65])/2 - 
       (163*t[66])/12 + t[69] + 3*t[79] + t[80] - t[81]/6 + t[82]/6 - 
       (13*t[83])/6 - (5*t[84])/4 + t[85] - (20*t[86])/3 + (5*t[87])/2 + 
       (5*t[88])/4 - (23*t[89])/24 + (7*t[100])/2) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((43*t[1])/8 + (11*t[2])/24 + (29*t[3])/32 - (203*t[4])/24 - 
       (511*t[5])/192 + (13*t[6])/32 - (31*t[7])/96 + (95*t[8])/96 + 
       (2047*t[9])/192 + (337*t[10])/32 + (227*t[11])/96 - (155*t[12])/64 + 
       (8527*t[13])/1728 + (799*t[14])/576 - (5357*t[15])/1152 + t[26]/3 - 
       (2*t[27])/3 + (4*t[28])/3 + (2*t[29])/3 - (7*t[30])/6 - 2*t[31] + 
       (2*t[32])/3 - (2*t[33])/3 - t[34]/3 + t[35] - t[37]/2 + (4*t[39])/3 - 
       (4*t[40])/3 + t[41]/6 - t[42]/6 - (125*t[43])/48 - (2*t[44])/3 - 
       (31*t[45])/24 - (2*t[46])/3 + (13*t[47])/4 + (119*t[48])/24 - 
       (35*t[49])/24 + (13*t[50])/8 + (17*t[51])/48 + t[52]/24 + 
       (35*t[53])/24 + (11*t[54])/24 + t[58]/3 - (53*t[59])/24 + t[60]/12 + 
       (56*t[61])/3 - (695*t[62])/48 - (197*t[63])/48 + (677*t[64])/48 + 
       (2429*t[65])/144 - (5309*t[66])/144 - t[67]/12 - (14*t[69])/3 + 
       (5*t[70])/2 - (29*t[71])/12 - (5*t[74])/6 + t[75]/2 - (7*t[76])/3 - 
       (3*t[77])/4 + (4*t[78])/3 + (17*t[79])/3 - (455*t[80])/12 - 
       (3*t[81])/2 + (5*t[82])/8 - (19*t[83])/4 + t[84] - (31*t[85])/6 - 
       (73*t[86])/4 + (16*t[87])/3 + (8*t[88])/3 + (61*t[89])/8 - t[97]/3 - 
       19*t[98] + 19*t[99] + (7*t[100])/2) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-43*t[1])/12 + (29*t[2])/24 - 
       (41*t[3])/12 - (1177*t[4])/32 - (29*t[5])/24 + (137*t[6])/16 + 
       (7*t[7])/2 + (179*t[8])/12 - (5*t[9])/12 - (3575*t[10])/192 - 
       (45*t[11])/8 + (1047*t[12])/64 + (785*t[13])/288 - (6821*t[14])/1152 + 
       (4097*t[15])/576 + t[25]/6 + (29*t[26])/12 - (2*t[27])/3 + 
       (4*t[28])/3 + (2*t[29])/3 - (7*t[30])/6 + t[31]/6 - t[34]/3 + t[35] + 
       t[36]/2 - t[37]/4 - (9*t[38])/4 + (2*t[39])/3 - (2*t[40])/3 + 
       t[41]/6 - t[42]/6 + t[43]/12 - (2*t[44])/3 + (55*t[46])/24 + 
       (91*t[48])/16 - (543*t[49])/64 - (5*t[50])/16 + (757*t[51])/384 + 
       (95*t[52])/48 + (959*t[53])/64 + (239*t[54])/32 + t[58]/3 - 
       (13*t[59])/8 - (3709*t[60])/96 + (659*t[61])/96 + (2411*t[62])/192 - 
       (475*t[63])/192 + (4589*t[64])/64 + (8465*t[65])/288 + 
       (6299*t[66])/288 - t[67]/12 - (14*t[69])/3 + (5*t[70])/2 - 
       (29*t[71])/12 + t[72]/2 + 2*t[73] - (7*t[74])/3 + (19*t[75])/2 - 
       (23*t[76])/6 - t[77]/3 + (22*t[78])/3 - (16*t[79])/3 - (3*t[80])/2 - 
       (2*t[81])/3 - t[82]/12 - (57*t[83])/4 - (343*t[84])/96 - 
       (923*t[85])/96 + (11*t[86])/6 + (903*t[87])/32 + (927*t[88])/64 + 
       (2329*t[89])/192 - t[97]/3 - 19*t[98] + 19*t[99] + (7*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (-27*t[98] + 26*t[99] + (7*t[100])/2) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*(-t[1]/4 + (25*t[2])/8 + 
       (247*t[3])/16 - (47*t[4])/4 + (1067*t[5])/48 - (383*t[6])/96 - 
       (195*t[7])/8 - (425*t[8])/24 - (475*t[9])/12 - 19*t[10] - 
       (469*t[11])/96 - (25*t[12])/48 + (7*t[13])/48 - (8041*t[14])/288 + 
       (1367*t[15])/288 - t[17]/2 + t[19]/2 - 2*t[20] + 2*t[22] + 
       (7*t[24])/3 + 2*t[27] - t[28] + t[29]/2 + t[30]/4 + (22*t[31])/3 - 
       (3*t[32])/4 + (11*t[33])/4 - (7*t[34])/2 - t[35] + t[36] - t[37]/2 + 
       t[38] - (11*t[39])/4 + (5*t[40])/2 + t[41]/4 + (11*t[43])/3 + 
       4*t[44] + (33*t[45])/4 + t[46]/2 - (59*t[47])/4 - (689*t[48])/96 - 
       (293*t[49])/24 - (601*t[50])/96 + (287*t[51])/48 + (409*t[52])/96 + 
       (245*t[53])/24 + (99*t[54])/32 + t[56]/2 - (7*t[59])/4 - 
       (207*t[60])/16 - (937*t[61])/48 + (1747*t[62])/48 - (105*t[63])/16 + 
       (451*t[64])/32 - (1169*t[65])/72 + (625*t[66])/144 + t[68]/2 - t[69] + 
       (3*t[72])/2 - 2*t[76] - t[77] + (19*t[78])/4 + 3*t[79] + (5*t[80])/2 - 
       (7*t[81])/2 - (16*t[83])/3 - (539*t[84])/48 + (53*t[85])/48 - 
       (65*t[86])/3 + (721*t[87])/48 + (721*t[88])/96 - (435*t[89])/32 - 
       t[90]/2 - (3*t[96])/2 - (5*t[97])/2 - 27*t[98] + 26*t[99] + 
       (7*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-9*t[2])/16 - (7*t[3])/72 - (1129*t[4])/144 + 
       (457*t[5])/144 + (5*t[6])/3 - (211*t[7])/72 + (283*t[8])/72 - 2*t[9] - 
       (63*t[10])/32 - (1277*t[11])/144 - (847*t[12])/288 - 
       (1595*t[13])/216 + (2179*t[14])/576 + (637*t[15])/288 - (7*t[27])/9 + 
       (14*t[28])/9 - (11*t[29])/9 + t[30]/18 - (5*t[31])/3 - t[35]/6 - 
       t[36]/3 + (5*t[37])/6 + (7*t[39])/9 - (7*t[44])/9 - (35*t[46])/24 + 
       (263*t[48])/72 + (77*t[49])/96 - (25*t[50])/72 + (479*t[51])/576 + 
       (25*t[52])/72 - (77*t[53])/96 + (85*t[54])/48 + (5*t[59])/12 - 
       (131*t[60])/72 - (7*t[61])/12 + (295*t[62])/96 + (5243*t[63])/288 - 
       (239*t[64])/144 + (5675*t[65])/432 + (6115*t[66])/432 - (7*t[72])/9 - 
       (55*t[73])/12 + (11*t[75])/2 + (7*t[78])/3 - t[79]/6 - (5*t[81])/18 + 
       (19*t[82])/18 - (43*t[83])/9 + (29*t[84])/18 - (149*t[85])/36 - 
       t[86] + (47*t[87])/36 + (47*t[88])/72 + (91*t[89])/144 + 
       (23*t[100])/6) + HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - v]*
      ((-9*t[2])/2 + (369*t[3])/64 - (25*t[5])/32 + (989*t[6])/128 - 
       (487*t[7])/32 + (863*t[8])/32 - (605*t[9])/64 + t[10]/2 - 
       (1053*t[11])/128 - t[12]/12 - (115*t[13])/48 - (1373*t[14])/384 + 
       (205*t[15])/288 + t[20] + (45*t[29])/16 - (27*t[30])/16 - t[31]/4 - 
       (9*t[32])/8 - 3*t[34] + (3*t[35])/2 + (9*t[40])/32 - (159*t[44])/32 + 
       (1467*t[48])/128 - (785*t[50])/128 + (785*t[52])/128 + 
       (989*t[54])/128 + (3*t[59])/2 - (693*t[60])/64 - (339*t[61])/64 + 
       (1501*t[62])/128 + (323*t[63])/128 + (705*t[64])/128 + 
       (5665*t[65])/576 + (1703*t[66])/64 + t[69] - t[72]/4 - 2*t[75] - 
       (9*t[76])/16 + (65*t[83])/24 - (157*t[84])/64 - (157*t[85])/64 - 
       2*t[86] - (335*t[87])/64 - (331*t[88])/128 + (957*t[89])/128 + 
       (95*t[100])/24) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((7*t[1])/6 + 2*t[3] - 8*t[4] + (19*t[5])/6 - 
       (28*t[6])/3 + 9*t[7] + (31*t[8])/3 - (8*t[9])/3 + (13*t[10])/3 - 
       (23*t[11])/3 - (23*t[13])/54 - (91*t[14])/12 - (14*t[15])/9 - 
       (8*t[31])/3 + (4*t[35])/3 - (5*t[43])/2 - t[46] + (4*t[48])/3 + 
       (8*t[49])/3 + (8*t[50])/3 - (7*t[51])/12 - (8*t[52])/3 - (8*t[53])/3 - 
       (4*t[54])/3 + t[59]/6 - (22*t[60])/3 - 7*t[61] - (67*t[62])/6 - 
       (77*t[63])/6 + (35*t[64])/2 - (7*t[65])/9 + (22*t[66])/9 - 2*t[74] + 
       (13*t[79])/3 - (4*t[80])/3 - (4*t[81])/3 + (4*t[82])/3 + (4*t[83])/3 - 
       (2*t[84])/3 - 4*t[85] + (74*t[86])/3 + (16*t[87])/3 + (8*t[88])/3 - 
       (11*t[89])/6 + 4*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      Omega2[u, v, w]*((3*t[1])/2 + (4*t[3])/3 - (13*t[4])/3 + (5*t[5])/2 - 
       (25*t[6])/4 + (16*t[7])/3 + (16*t[8])/3 - (13*t[9])/6 + (2*t[10])/3 - 
       (71*t[11])/12 - t[12]/2 + (11*t[13])/9 - (41*t[14])/9 - 
       (41*t[15])/36 - 2*t[31] - (5*t[43])/3 - t[46] + (3*t[48])/4 + 
       (7*t[49])/3 + (25*t[50])/12 - (5*t[51])/12 - (25*t[52])/12 - 
       (7*t[53])/3 - (17*t[54])/12 + t[59] - (11*t[60])/2 - (9*t[61])/2 - 
       (47*t[62])/6 - (17*t[63])/3 + (125*t[64])/12 - (41*t[65])/18 + 
       (34*t[66])/9 - 2*t[74] + 2*t[79] - t[81] + t[82] + (4*t[83])/3 - 
       (2*t[84])/3 - (17*t[85])/6 + (44*t[86])/3 + (25*t[87])/6 + 
       (25*t[88])/12 - (13*t[89])/12 + 4*t[100]) + HPL[{0, 0, 1}, 1 - u]*
      Omega2[u, v, w]*((-33*t[2])/4 - (3*t[3])/4 - (11*t[4])/2 + 
       (41*t[5])/4 - t[6] - (105*t[7])/8 - (119*t[8])/8 - (223*t[9])/8 + 
       (109*t[10])/8 - (147*t[11])/8 + t[12] - (1867*t[13])/144 - 
       (49*t[14])/6 + (301*t[15])/48 + 2*t[19] - 2*t[21] + 2*t[23] - 
       3*t[28] + 2*t[30] - 2*t[31] + t[37] - 2*t[39] + t[41]/2 - t[42]/2 - 
       t[43]/8 + 3*t[44] + (5*t[45])/4 + (3*t[46])/2 - (15*t[47])/2 + 
       (5*t[48])/8 - 4*t[49] + (21*t[50])/8 + (3*t[51])/8 - (21*t[52])/8 + 
       4*t[53] + (35*t[54])/8 + 2*t[59] - (11*t[60])/2 - 27*t[61] + 
       44*t[62] + 19*t[63] + (43*t[64])/2 - (73*t[65])/6 + (337*t[66])/6 + 
       4*t[69] + 2*t[75] + 8*t[79] - 10*t[80] - t[81] + 5*t[82] - 12*t[83] + 
       t[84] - (17*t[85])/2 - 41*t[86] + (5*t[87])/2 + (5*t[88])/4 - 
       (5*t[89])/4 - 8*t[99] + 4*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      Omega2[v, w, u]*(-t[1] - (11*t[3])/4 + (81*t[4])/4 - (39*t[5])/8 - 
       (23*t[6])/8 - t[7]/4 - (27*t[8])/4 + (15*t[9])/8 + (33*t[10])/2 + 
       (103*t[11])/8 - (23*t[12])/8 + (743*t[13])/72 - (55*t[14])/16 + 
       (13*t[15])/16 + 2*t[25] + 2*t[27] + t[28] - t[29] + t[31] - 2*t[35] - 
       2*t[36] - 2*t[38] + t[39] - t[40] + 2*t[45] + t[46]/2 - 4*t[47] - 
       (33*t[48])/8 - (5*t[49])/2 + (35*t[50])/8 + (11*t[51])/16 - 
       (35*t[52])/8 + t[53] - (105*t[54])/8 + t[59] + (43*t[60])/4 - 
       8*t[61] - (157*t[62])/8 - (255*t[63])/8 + 26*t[64] - (41*t[65])/4 - 
       (77*t[66])/4 + 2*t[69] + 2*t[72] + t[74] + 3*t[75] + t[77] - 5*t[80] + 
       2*t[81] - 2*t[82] + 9*t[83] + (7*t[84])/2 + (13*t[85])/2 + 10*t[86] - 
       (3*t[87])/2 + (5*t[88])/4 + (69*t[89])/8 - 2*t[95] - 8*t[99] + 
       4*t[100]) + HPL[{0, 1}, 1 - u]*M1[w, v, u]*
      ((5*t[1])/12 - (5*t[2])/12 + (3*t[3])/4 - (19*t[4])/6 + (175*t[5])/24 - 
       (67*t[6])/24 - (17*t[7])/12 - (35*t[8])/12 - (109*t[9])/24 - 
       (55*t[10])/12 + (43*t[11])/24 - (65*t[12])/24 - (227*t[13])/108 + 
       t[14]/4 + (335*t[15])/144 - t[26]/6 + t[27]/3 + (4*t[28])/3 - 
       t[29]/3 - (2*t[30])/3 - 2*t[31] - t[32]/3 + t[33]/3 + t[34]/6 - 
       2*t[35] + t[37] + t[39]/3 + (2*t[40])/3 - t[41]/12 + t[42]/12 + 
       (11*t[43])/6 - (2*t[44])/3 - (2*t[45])/3 + t[47] + (29*t[48])/24 + 
       (2*t[49])/3 - (5*t[50])/8 - t[51]/3 - (5*t[52])/24 - (2*t[53])/3 - 
       t[54]/24 - t[58]/6 + (5*t[59])/4 - (43*t[60])/12 + (67*t[61])/12 - 
       (41*t[62])/24 + (217*t[63])/24 + (61*t[64])/8 + t[65]/36 + 
       (5*t[66])/36 + t[69] + (7*t[76])/6 - (2*t[78])/3 + (13*t[80])/3 + 
       t[81]/2 - t[82]/2 - t[83]/2 - (3*t[84])/4 - (17*t[85])/12 + 2*t[86] + 
       t[87]/12 + t[88]/24 - (21*t[89])/8 + t[97]/6 + 8*t[98] - 8*t[99] + 
       4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      ((13*t[1])/24 - (937*t[2])/72 + (37*t[3])/4 + (863*t[4])/144 + 
       (913*t[5])/48 - (79*t[6])/864 - (2381*t[7])/72 - (569*t[8])/24 - 
       (6961*t[9])/144 + (8185*t[10])/288 - (733*t[11])/96 - 
       (4555*t[12])/288 - (76*t[13])/81 - (11383*t[14])/576 + 
       (2785*t[15])/216 - t[17]/2 + t[18]/27 + (5*t[21])/3 + t[22]/3 + 
       (25*t[23])/18 + (7*t[24])/3 - (5*t[26])/36 + t[27]/3 - (5*t[29])/6 + 
       (17*t[30])/12 - (5*t[31])/6 - (5*t[32])/6 + (5*t[33])/6 - 
       (25*t[34])/12 - (7*t[35])/3 + (3*t[37])/2 + (5*t[38])/9 - 
       (5*t[39])/6 + (17*t[40])/18 - (37*t[41])/72 + (307*t[42])/216 + 
       (103*t[43])/24 + (17*t[44])/6 + (151*t[45])/36 + (71*t[46])/24 - 
       (178*t[47])/9 - (61*t[48])/32 + (169*t[49])/96 + (97*t[50])/96 - 
       (1009*t[51])/576 - (715*t[52])/288 - (169*t[53])/96 - 
       (3529*t[54])/288 - (5*t[58])/36 - (583*t[59])/216 - (635*t[60])/48 - 
       (2329*t[61])/144 + (1665*t[62])/32 + (3127*t[63])/288 - 
       (11975*t[64])/288 - (2195*t[65])/216 + (4325*t[66])/108 + t[67]/12 + 
       (5*t[69])/3 - (8*t[70])/3 + (8*t[71])/3 + (9*t[73])/4 + (5*t[74])/6 - 
       (13*t[75])/12 + t[76]/36 - t[77]/36 - (7*t[78])/9 - 3*t[79] - 
       (577*t[80])/18 - (71*t[81])/24 + (149*t[82])/72 + (31*t[83])/12 - 
       (31*t[84])/12 - (997*t[85])/144 - (1175*t[86])/18 + (1757*t[87])/144 + 
       (1757*t[88])/288 - (397*t[89])/288 - (5*t[97])/36 - (2*t[98])/3 + 
       t[99]/3 + 4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - u]*((-71*t[2])/24 + (2*t[3])/3 + (5*t[4])/32 - 
       (51*t[5])/32 - (299*t[6])/96 + (151*t[7])/24 - (75*t[8])/16 + 
       (131*t[9])/96 + (65*t[10])/192 + (83*t[11])/48 + (115*t[12])/192 + 
       (137*t[13])/96 - (3065*t[14])/1152 - (415*t[15])/288 - t[18]/6 - 
       t[24]/4 - (11*t[28])/8 + (3*t[30])/4 + (9*t[31])/8 + (13*t[35])/8 - 
       t[37]/4 - t[39]/2 + t[41]/8 - t[42]/8 + t[43]/16 + (9*t[44])/8 + 
       t[45]/4 + t[46]/4 + t[47]/3 - (197*t[48])/96 + (21*t[49])/64 + 
       (143*t[50])/96 - (13*t[51])/128 - (143*t[52])/96 - (21*t[53])/64 - 
       (91*t[54])/48 - t[59]/4 + (3*t[60])/8 - (51*t[61])/16 - 
       (103*t[62])/192 - (1289*t[63])/192 - (31*t[64])/48 - (863*t[65])/288 - 
       (649*t[66])/288 + (2*t[69])/3 - (3*t[70])/8 + (3*t[71])/8 + t[72]/2 + 
       t[74]/4 - t[75]/4 - t[78]/4 + (2*t[79])/3 - t[80]/4 - (3*t[81])/8 + 
       (3*t[82])/4 - t[83]/4 - (3*t[84])/4 + (9*t[85])/16 + (35*t[86])/12 - 
       (95*t[87])/48 - (95*t[88])/96 - (47*t[89])/48 + t[99]/2 + 4*t[100]) + 
     HPL[{0, 1}, 1 - u]*M1[u, v, w]*(-t[1]/12 - (5*t[2])/12 + (31*t[3])/16 + 
       (49*t[4])/12 - (677*t[5])/96 + (247*t[6])/48 - (347*t[7])/48 - 
       (293*t[8])/48 + (17*t[9])/96 - (325*t[10])/48 - (775*t[11])/48 + 
       (181*t[12])/96 - (2893*t[13])/864 - (805*t[14])/96 - 
       (2851*t[15])/576 + t[19] - t[21] + t[23] + t[26]/3 - (2*t[27])/3 - 
       (2*t[28])/3 + (2*t[29])/3 - (2*t[30])/3 + 2*t[31] + (2*t[32])/3 - 
       (2*t[33])/3 - t[34]/3 + 6*t[35] - 2*t[37] + t[39]/3 - (4*t[40])/3 + 
       (2*t[41])/3 - (2*t[42])/3 - (7*t[43])/6 + t[44]/3 - (8*t[45])/3 + 
       (19*t[48])/12 - (11*t[49])/6 + (7*t[50])/4 + (2*t[51])/3 - t[52]/12 + 
       (11*t[53])/6 + (31*t[54])/12 + t[58]/3 - t[59]/4 - (22*t[60])/3 - 
       (98*t[61])/3 + (775*t[62])/24 - (275*t[63])/24 - (7*t[64])/8 - 
       (529*t[65])/72 + (1729*t[66])/72 + 2*t[74] - (7*t[76])/3 - t[77]/2 + 
       (4*t[78])/3 + (17*t[80])/6 - 2*t[81] + (11*t[82])/4 + t[84]/2 - 
       (11*t[85])/3 - (17*t[86])/2 + (19*t[87])/3 + (19*t[88])/6 + 
       (3*t[89])/2 - t[97]/3 - 22*t[98] + 22*t[99] + 4*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-17*t[1])/6 + (223*t[2])/18 - (1531*t[3])/144 - (1123*t[4])/144 - 
       (4013*t[5])/144 - (43*t[6])/96 + (389*t[7])/16 + (2509*t[8])/144 + 
       (6611*t[9])/144 + (83*t[10])/32 - (1961*t[11])/288 + (1909*t[12])/96 - 
       (893*t[13])/288 + (82567*t[14])/1728 + (6203*t[15])/864 + t[16]/3 - 
       (2*t[17])/3 + (4*t[18])/3 - 10*t[20] - (2*t[21])/3 + (8*t[22])/3 + 
       2*t[23] - (7*t[24])/3 + (34*t[25])/9 + (119*t[26])/18 + (29*t[27])/9 - 
       (4*t[28])/9 + (145*t[29])/36 - (4*t[30])/9 + (19*t[31])/9 - 
       (11*t[32])/3 - 2*t[33] + (13*t[34])/9 + (22*t[35])/3 + (3*t[36])/2 - 
       (4*t[37])/3 - (11*t[38])/3 + (34*t[39])/9 + (19*t[40])/18 + 
       (11*t[41])/18 + (25*t[42])/18 - (295*t[43])/144 + (7*t[44])/72 - 
       (469*t[45])/24 + (505*t[46])/72 + (203*t[47])/12 - (213*t[48])/32 - 
       (177*t[49])/32 - (209*t[50])/32 - (4277*t[51])/576 - (103*t[52])/288 + 
       (181*t[53])/32 + (917*t[54])/96 + t[56]/2 - t[57] + (7*t[58])/18 + 
       (41*t[59])/36 + (817*t[60])/36 + (235*t[61])/8 + (29*t[62])/18 - 
       (193*t[63])/24 - (1087*t[64])/36 + (5525*t[65])/216 - (467*t[66])/24 + 
       t[67]/6 - t[68]/6 + 2*t[69] - 2*t[70] + 2*t[71] - 2*t[72] + 
       (7*t[74])/3 + (14*t[75])/3 + (47*t[76])/18 + (10*t[77])/9 + 
       (121*t[78])/18 - (32*t[79])/3 + 11*t[80] + (61*t[81])/18 - 
       (85*t[82])/18 - (31*t[83])/6 + (439*t[84])/72 + (353*t[85])/72 - 
       (4*t[86])/9 - (37*t[87])/4 - (37*t[88])/8 + (271*t[89])/18 - t[90]/6 + 
       (2*t[92])/3 - t[94]/3 + (5*t[97])/18 + (67*t[98])/3 - (67*t[99])/3 + 
       (25*t[100])/6) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*(t[13]/9 - (5*t[59])/18 + t[62]/6 - t[63]/6 + 
       t[64]/6 - (11*t[65])/9 - (2*t[66])/9 + (10*t[88])/3 + (9*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*(25*t[2] - (3*t[3])/2 - 
       27*t[4] + (55*t[5])/8 - (281*t[6])/4 - 34*t[7] - (247*t[8])/4 - 
       (161*t[9])/8 + (135*t[10])/2 + (3*t[11])/4 + (51*t[12])/8 - 
       (91*t[13])/6 - (71*t[14])/8 - (209*t[15])/16 + (3*t[17])/2 - 3*t[21] - 
       3*t[24] - 27*t[31] + 4*t[41] - 4*t[42] + 37*t[45] - 39*t[47] + 
       21*t[48] - 4*t[49] + 21*t[50] + 2*t[51] - 21*t[52] + 4*t[53] - 
       10*t[54] - (177*t[60])/4 - (49*t[61])/4 - (215*t[62])/8 + 
       (579*t[63])/8 + (245*t[64])/8 + 2*t[65] + (25*t[66])/12 - 3*t[69] + 
       3*t[70] - 3*t[71] + (51*t[79])/2 + 6*t[80] - (19*t[81])/2 + 
       (19*t[82])/2 + 3*t[83] + (3*t[84])/4 - 39*t[85] - (5*t[86])/2 + 
       (87*t[87])/2 + (87*t[88])/4 + (49*t[89])/8 + (9*t[100])/2) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]^2*((-3*t[1])/8 - (29*t[2])/48 + 
       (13*t[3])/12 - (761*t[4])/192 + (301*t[5])/96 - (49*t[6])/16 - 
       (7*t[7])/8 - (161*t[8])/24 - (127*t[9])/96 - (359*t[10])/128 - 
       (517*t[11])/96 + (369*t[12])/128 + (79*t[13])/64 - 
       (18067*t[14])/2304 + (2401*t[15])/1152 + t[25]/6 - (11*t[26])/24 + 
       t[27]/3 + t[28]/3 - t[29]/3 + t[30]/3 + (13*t[31])/6 + t[34]/6 - 
       t[35]/2 - (3*t[36])/4 + t[37]/2 + t[38]/8 + (2*t[39])/3 - 
       (2*t[40])/3 - t[41]/12 + t[42]/12 + t[43]/12 + t[44]/3 + t[45] + 
       (25*t[46])/48 - 2*t[47] - 2*t[48] - (461*t[49])/128 - (3*t[50])/4 + 
       (1451*t[51])/768 - t[52]/12 + (421*t[53])/128 + (111*t[54])/64 - 
       t[58]/6 - (23*t[59])/48 - (223*t[60])/192 - (537*t[61])/64 + 
       (5461*t[62])/384 - (423*t[63])/128 - (895*t[64])/384 + 
       (1943*t[65])/576 + (1463*t[66])/192 - t[72]/2 + (3*t[74])/4 + 
       (5*t[76])/3 + (7*t[77])/6 - (5*t[78])/3 + (11*t[79])/4 - (5*t[80])/2 + 
       (5*t[81])/24 + (17*t[82])/12 - (7*t[83])/2 - (161*t[84])/192 + 
       (167*t[85])/192 - (131*t[86])/12 - (207*t[87])/64 - (207*t[88])/128 + 
       (395*t[89])/384 + t[97]/6 + 8*t[98] - 8*t[99] + (19*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((-235*t[2])/96 + (101*t[3])/48 - (77*t[4])/48 + (315*t[5])/64 + 
       (7*t[6])/192 + (79*t[7])/48 - (247*t[8])/96 - 12*t[9] + 
       (341*t[10])/48 - (177*t[11])/64 - (55*t[12])/64 - (6803*t[13])/1728 - 
       (295*t[14])/192 + (1079*t[15])/384 + t[18]/18 - t[19]/12 + t[21]/12 + 
       t[22]/6 - t[23]/12 + t[25]/6 + t[26]/12 + t[27]/2 - (9*t[28])/4 - 
       (2*t[29])/3 + (61*t[30])/24 + (3*t[31])/2 + t[32]/6 - t[33]/6 - 
       t[34]/12 + (3*t[35])/4 + t[37]/2 - t[38]/6 - t[39]/2 - t[40]/3 - 
       t[41]/8 + t[42]/8 + (71*t[43])/96 + (9*t[44])/4 + (113*t[45])/32 + 
       (19*t[46])/24 - (391*t[47])/48 - (185*t[48])/192 - (7*t[49])/96 + 
       (95*t[50])/192 - (5*t[51])/64 - (5*t[52])/64 + (7*t[53])/96 - 
       (179*t[54])/192 + t[58]/12 + t[59]/8 - (15*t[60])/32 - 
       (139*t[61])/96 + (1673*t[62])/192 - (739*t[63])/192 - 
       (1187*t[64])/192 - (305*t[65])/48 + (119*t[66])/12 - t[69]/3 + 
       (5*t[72])/12 - t[73]/24 + t[74]/3 + (5*t[75])/8 - (7*t[76])/12 + 
       (11*t[77])/12 - t[78]/2 + (19*t[79])/12 - (11*t[80])/2 - 
       (9*t[81])/16 + (29*t[82])/24 - (77*t[83])/24 - t[84]/8 - 
       (61*t[85])/96 - (187*t[86])/24 - (127*t[87])/96 - (127*t[88])/192 - 
       (95*t[89])/64 + t[97]/12 - (7*t[98])/12 + (5*t[99])/4 + 
       (19*t[100])/4) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - v]*((5*t[1])/12 + (3*t[2])/4 + (43*t[3])/36 + 
       (119*t[4])/9 - (31*t[5])/24 - (35*t[6])/24 - (977*t[7])/144 + 
       (1135*t[8])/144 - (343*t[9])/72 - (745*t[10])/144 - (241*t[11])/72 - 
       (95*t[12])/24 + (425*t[13])/54 - (5005*t[14])/864 - (2099*t[15])/432 + 
       t[24] - t[31] - (8*t[43])/9 - 2*t[44] - 2*t[45] - (67*t[46])/24 + 
       5*t[47] + t[48]/24 + (41*t[49])/18 - (97*t[50])/72 - (13*t[51])/288 + 
       (97*t[52])/72 - (41*t[53])/18 - (19*t[54])/72 + (5*t[59])/12 - 
       7*t[60] - (11*t[61])/3 - (949*t[62])/144 - (149*t[63])/144 + 
       (4223*t[64])/144 - (1825*t[65])/108 - (2257*t[66])/216 - 
       (43*t[74])/12 - 2*t[75] - 2*t[78] + (15*t[79])/8 - 2*t[81] + 
       (119*t[83])/18 - (119*t[84])/36 + (11*t[85])/36 + (259*t[86])/72 + 
       (335*t[87])/36 + (335*t[88])/72 + (55*t[89])/18 + (29*t[100])/6) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]^2*((13*t[1])/24 + (11*t[2])/24 + 
       (69*t[3])/32 + (41*t[4])/24 - (1015*t[5])/192 + (335*t[6])/96 - 
       (7*t[7])/96 + (119*t[8])/96 + (847*t[9])/192 - (785*t[10])/96 - 
       (329*t[11])/96 + (335*t[12])/192 - (5741*t[13])/1728 - 
       (201*t[14])/64 - (4829*t[15])/1152 + t[26]/3 - (2*t[27])/3 + t[28]/3 + 
       (2*t[29])/3 - (2*t[30])/3 + (2*t[32])/3 - (2*t[33])/3 - t[34]/3 + 
       t[35] + (5*t[39])/6 - (4*t[40])/3 + t[41]/6 - t[42]/6 - 
       (35*t[43])/48 - t[44]/6 - (19*t[45])/24 - t[46]/4 + (9*t[47])/4 + 
       (37*t[48])/12 - (5*t[49])/6 + (3*t[50])/4 + (11*t[51])/48 + 
       (11*t[52])/12 + (5*t[53])/6 + (13*t[54])/12 + t[58]/3 - t[59]/8 - 
       (10*t[60])/3 - (83*t[61])/12 + (215*t[62])/48 - (487*t[63])/48 + 
       (97*t[64])/16 + (325*t[65])/144 + (419*t[66])/144 - (7*t[76])/3 - 
       (3*t[77])/4 + (4*t[78])/3 - (5*t[80])/12 - t[81] + (9*t[82])/8 + 
       t[84]/2 - (13*t[85])/6 + (3*t[86])/4 + (29*t[87])/6 + (29*t[88])/12 + 
       (11*t[89])/4 - t[97]/3 - 19*t[98] + 20*t[99] + (39*t[100])/8) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]^2*(-t[1]/4 + (121*t[2])/48 - 
       (203*t[3])/48 + (43*t[4])/32 - (799*t[5])/96 + (17*t[6])/12 + 
       (379*t[7])/48 + (101*t[8])/16 + (293*t[9])/32 + (737*t[10])/192 + 
       (37*t[11])/24 + (133*t[12])/64 + (227*t[13])/432 + (8651*t[14])/1152 + 
       (521*t[15])/144 - (5*t[18])/12 - (2*t[19])/3 - (3*t[21])/4 + 
       (2*t[23])/3 - (4*t[24])/3 + (2*t[25])/3 + (5*t[26])/12 - t[27]/6 + 
       (4*t[28])/3 + t[29]/6 - (7*t[30])/6 + (5*t[31])/6 - t[34]/3 + 
       (5*t[35])/12 + t[36]/2 + t[37]/12 - (3*t[38])/4 + (2*t[39])/3 - 
       (2*t[40])/3 - (3*t[41])/8 + t[42]/4 + (5*t[43])/12 - t[44]/6 + 
       (7*t[45])/4 - (13*t[46])/24 - (5*t[47])/3 + (2*t[48])/3 + 
       (263*t[49])/192 + (59*t[50])/24 - (367*t[51])/384 - (19*t[52])/24 - 
       (311*t[53])/192 - (209*t[54])/96 + t[58]/3 + (5*t[59])/24 + 
       (123*t[60])/32 + (553*t[61])/96 + (1241*t[62])/192 - 
       (2377*t[63])/192 - (1925*t[64])/64 + (967*t[65])/96 - 
       (1451*t[66])/288 + (11*t[69])/12 + t[70]/6 - t[71]/6 + t[72]/2 + 
       t[74] + 3*t[75] - (23*t[76])/6 - t[77]/3 + (47*t[78])/6 - 
       (37*t[79])/12 - (43*t[80])/12 + (25*t[81])/24 - (31*t[82])/24 - 
       (3*t[83])/8 + (93*t[84])/32 - (9*t[85])/32 - (31*t[86])/12 + 
       (11*t[87])/32 + (11*t[88])/64 + (177*t[89])/64 - t[97]/3 - 19*t[98] + 
       20*t[99] + (39*t[100])/8) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Omega2[w, u, v]*((3*t[1])/2 + (31*t[2])/4 + (17*t[3])/8 + (21*t[4])/4 - 
       (59*t[5])/16 - (21*t[6])/4 - (5*t[7])/8 - (11*t[8])/8 + (79*t[9])/16 - 
       (67*t[10])/2 + 7*t[11] - (91*t[12])/16 - (181*t[13])/144 - 
       (61*t[14])/24 + (53*t[15])/32 - t[19] + t[21] - t[23] + 3*t[28] - 
       t[30] - 4*t[31] - 4*t[35] + t[37] + t[39] + (7*t[43])/4 - 2*t[44] - 
       6*t[45] + 11*t[47] + (9*t[48])/8 - (3*t[49])/8 + (17*t[50])/8 - 
       (5*t[51])/16 - (17*t[52])/8 + (3*t[53])/8 - (19*t[54])/8 + 
       (5*t[59])/2 - (35*t[60])/4 + (39*t[61])/4 - t[62]/2 - 23*t[63] - 
       (15*t[64])/8 - (19*t[65])/6 - 6*t[66] + t[69] + t[72] + 2*t[74] - 
       t[75] - 2*t[77] - 4*t[79] + 14*t[80] + t[81]/2 - 2*t[82] + 
       (17*t[83])/2 - t[84] - (15*t[85])/4 + 19*t[86] + (31*t[87])/4 + 
       (31*t[88])/8 - (67*t[89])/8 + 5*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-3*t[2])/2 + (7*t[3])/6 + (31*t[4])/12 + (71*t[5])/12 + (11*t[6])/4 - 
       (95*t[7])/24 + (23*t[8])/24 - (67*t[9])/8 - (67*t[10])/8 - 
       (47*t[11])/6 - (17*t[12])/6 + (185*t[13])/72 - (17*t[14])/6 + 
       (63*t[15])/16 - (2*t[27])/3 + (4*t[28])/3 - (4*t[29])/3 - 
       (2*t[30])/3 + 4*t[31] + 8*t[35] - 2*t[37] + (2*t[39])/3 + 
       (13*t[43])/8 - (2*t[44])/3 + (13*t[45])/4 - 4*t[46] - (13*t[47])/2 + 
       (2*t[48])/3 + 7*t[49] - t[50]/3 + (11*t[51])/6 + t[52]/3 - 7*t[53] - 
       2*t[54] - t[59] - (71*t[60])/12 + (3*t[61])/2 + 9*t[62] - 
       (22*t[63])/3 - (17*t[64])/6 - (593*t[65])/36 + (263*t[66])/36 - 
       (2*t[72])/3 - 2*t[73] + 4*t[75] + 2*t[78] - (11*t[81])/3 + 
       (29*t[82])/6 - (8*t[83])/3 + (7*t[84])/6 - t[85]/3 + 4*t[86] + 
       (7*t[87])/3 + (7*t[88])/6 - (53*t[89])/24 - 2*t[99] + 5*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      (-t[1]/32 - t[2]/8 - (127*t[3])/128 - (103*t[4])/24 + (615*t[5])/256 - 
       (169*t[6])/384 - (1711*t[7])/384 + (1127*t[8])/384 - (5417*t[9])/768 + 
       (701*t[10])/384 - (1027*t[11])/384 - (1433*t[12])/768 - 
       (1979*t[13])/768 + (7961*t[14])/2304 + (20023*t[15])/4608 + t[24]/3 - 
       t[26]/8 + t[27]/4 + (5*t[28])/6 - (3*t[29])/4 + (7*t[30])/8 - 
       t[31]/6 - t[32]/4 + t[33]/4 + t[34]/8 - t[35] + t[37]/4 - t[39]/4 + 
       t[40]/2 - t[41]/16 + t[42]/16 + (113*t[43])/192 - (7*t[44])/4 + 
       (19*t[45])/32 - (7*t[46])/16 - (35*t[47])/16 - (31*t[48])/64 - 
       (59*t[49])/192 - (31*t[50])/64 + (233*t[51])/384 - (9*t[52])/64 + 
       (59*t[53])/192 + (97*t[54])/64 - t[58]/8 + (11*t[59])/32 + 
       (7*t[60])/4 + (203*t[61])/48 + (3*t[62])/16 + (315*t[63])/32 - 
       (523*t[64])/96 + (1097*t[65])/576 + (3595*t[66])/576 + t[69]/4 - 
       (5*t[73])/4 + (10*t[75])/3 + (7*t[76])/8 + (5*t[77])/16 - t[78]/2 - 
       (17*t[79])/24 - (3*t[80])/4 - t[81]/4 + (25*t[83])/12 - (2*t[84])/3 - 
       (43*t[85])/48 - (29*t[86])/8 - (91*t[87])/48 - (91*t[88])/96 - 
       (205*t[89])/96 + t[97]/8 + (33*t[98])/4 - (37*t[99])/4 + 
       (61*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u]*((5*t[3])/8 + t[4]/4 - (3*t[5])/16 - t[6]/8 + 
       t[7]/8 - (9*t[8])/8 + (3*t[9])/16 - (5*t[10])/8 + t[11]/8 + 
       (7*t[12])/16 - t[13]/16 - (23*t[14])/16 - (41*t[15])/96 + t[29]/2 + 
       2*t[60] - (3*t[61])/4 - t[62]/2 + t[64]/2 - (13*t[65])/12 - t[66]/4 + 
       t[82]/4 - t[83] - t[87] - t[88]/2 + t[99] + (31*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (-t[1] - (19*t[2])/16 + (85*t[3])/72 - (1873*t[4])/72 - (245*t[5])/72 + 
       (413*t[6])/96 - (389*t[7])/72 - (175*t[8])/18 + (329*t[9])/48 - 
       (113*t[10])/16 - (1493*t[11])/288 - (205*t[12])/144 - 
       (233*t[13])/108 + (367*t[14])/144 + (283*t[15])/288 - (19*t[27])/18 + 
       (19*t[28])/9 + (19*t[29])/18 - (65*t[30])/36 + (10*t[31])/3 + 
       (13*t[35])/2 - (7*t[37])/6 + (19*t[39])/18 - t[43]/6 + (17*t[44])/18 + 
       2*t[45] + (41*t[46])/12 - 6*t[47] - (161*t[48])/288 - (45*t[49])/16 - 
       (953*t[50])/288 + (23*t[51])/288 + (953*t[52])/288 + (45*t[53])/16 + 
       (335*t[54])/96 - t[59]/12 + (595*t[60])/144 - (533*t[61])/48 + 
       (155*t[62])/24 + t[63]/18 - (8579*t[64])/288 + (12379*t[65])/432 + 
       (2477*t[66])/432 - (19*t[72])/18 + (5*t[73])/6 + 4*t[74] + 
       (71*t[75])/12 + (13*t[78])/3 - (9*t[79])/2 - 4*t[80] + 
       (377*t[81])/72 - (217*t[82])/72 - (353*t[83])/36 + (181*t[84])/72 + 
       (557*t[85])/144 - (29*t[86])/3 - (1829*t[87])/144 - (1829*t[88])/288 + 
       (823*t[89])/288 - 4*t[99] + (16*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (-3*t[1] + 8*t[4] + t[6] + (3*t[7])/4 + (3*t[8])/4 + 2*t[10] - 
       3*t[11] + (11*t[12])/4 - (11*t[13])/6 + (23*t[14])/4 - (17*t[15])/12 + 
       2*t[37] - (3*t[46])/2 + (17*t[49])/4 - t[51] - (17*t[53])/4 + t[59] + 
       t[60] - t[62] + (19*t[63])/2 + (3*t[64])/4 - (23*t[65])/3 - 2*t[66] + 
       t[67]/2 - 3*t[74] - (3*t[79])/2 + (3*t[86])/2 + 6*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (8*t[1] + (9*t[2])/4 + t[3]/2 - (43*t[4])/2 + (7*t[5])/2 - 
       (63*t[6])/4 + t[7]/2 - 17*t[8] - (105*t[9])/4 + (33*t[10])/4 + 
       (95*t[11])/4 - (5*t[12])/2 + (323*t[13])/12 - (167*t[14])/4 + 
       (113*t[15])/8 + 4*t[27] - 8*t[28] - 4*t[29] + 7*t[30] - 6*t[35] - 
       9*t[37] - 4*t[39] + 4*t[44] + (15*t[46])/2 - (49*t[48])/4 - 
       (69*t[49])/4 + (47*t[50])/4 + (25*t[51])/4 - (47*t[52])/4 + 
       (69*t[53])/4 - (45*t[54])/4 - 2*t[59] - (61*t[60])/2 + (27*t[61])/2 + 
       (7*t[62])/4 - (319*t[63])/4 + (23*t[64])/4 - (27*t[65])/2 - 
       (27*t[66])/2 - 2*t[67] + 4*t[72] + 3*t[73] + 12*t[74] - 15*t[75] - 
       9*t[78] + 6*t[79] - 5*t[81] + 4*t[82] + 28*t[83] - (23*t[84])/2 - 
       (5*t[85])/2 - 9*t[86] + (53*t[87])/2 + (53*t[88])/4 - (49*t[89])/4 + 
       6*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      (3*t[1] + t[3] - 2*t[4] + 3*t[5] - (19*t[6])/4 + (5*t[7])/2 + t[8]/2 - 
       3*t[9] - t[10]/2 - (19*t[11])/4 - (3*t[12])/2 + t[13]/3 - 
       (23*t[14])/4 + t[15]/6 - 2*t[31] - t[43] + t[48]/4 + (9*t[50])/4 - 
       (9*t[52])/4 - (9*t[54])/4 + t[59] - (11*t[60])/2 - (5*t[61])/2 - 
       2*t[62] - 7*t[63] + (21*t[64])/4 + t[65]/6 + (23*t[66])/3 + t[79] - 
       t[81] + t[82] + 2*t[83] - t[84] - (5*t[85])/2 + 7*t[86] + 
       (9*t[87])/2 + (9*t[88])/4 - (3*t[89])/4 + 6*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u]*((33*t[2])/4 + (9*t[3])/4 - 
       11*t[4] + (27*t[5])/2 + (3*t[6])/2 + (97*t[7])/8 + (79*t[8])/8 + 
       (81*t[9])/8 - (27*t[10])/8 + (99*t[11])/8 + (3*t[12])/2 - 
       (143*t[13])/48 + (287*t[14])/24 + (217*t[15])/48 - 2*t[19] + 2*t[21] - 
       2*t[23] + 3*t[28] - 2*t[30] - 2*t[31] - 8*t[35] + 3*t[37] + 2*t[39] - 
       t[41]/2 + t[42]/2 + (9*t[43])/8 - t[44] + (3*t[45])/4 - t[46]/2 + 
       (3*t[47])/2 + (39*t[48])/8 + (15*t[49])/4 - (9*t[50])/8 - 
       (3*t[51])/2 + (9*t[52])/8 - (15*t[53])/4 - (35*t[54])/8 + 
       (5*t[60])/2 + 28*t[61] - 31*t[62] + 4*t[63] + 14*t[64] + 
       (47*t[65])/6 - (55*t[66])/2 - 2*t[74] + t[81] - t[82] + (3*t[85])/2 + 
       13*t[86] - (3*t[87])/2 - (3*t[88])/4 - t[89]/4 + 6*t[100]) + 
     B10[w, u, v]*HPL[{1}, 1 - w]*(t[3] - 4*t[4] + t[5]/2 - t[6] + t[8] - 
       t[9]/2 - 4*t[11] + t[12]/2 - (19*t[13])/6 - 2*t[14] - t[15]/12 + 
       2*t[46] - t[49] - t[51]/2 + t[53] + 2*t[54] - 2*t[60] - 5*t[61] + 
       t[62]/2 + (5*t[63])/2 + t[64]/2 + (13*t[65])/3 + (19*t[66])/3 + 
       t[89]/2 + 6*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      Omega2[v, w, u]*(t[1] + t[3]/6 + (23*t[4])/6 + (11*t[5])/6 - 
       (47*t[6])/12 + (25*t[7])/6 + (9*t[8])/2 - (3*t[9])/2 - (17*t[10])/12 - 
       (65*t[11])/12 - (29*t[12])/12 + (37*t[13])/9 - (355*t[14])/72 - 
       (31*t[15])/12 - t[24]/3 - (10*t[31])/3 - 2*t[43] - t[44] - t[45] - 
       2*t[46] + 2*t[47] + t[48]/12 + (9*t[49])/4 + (37*t[50])/12 - t[51]/8 - 
       (37*t[52])/12 - (9*t[53])/4 - (31*t[54])/12 + t[59] - (13*t[60])/2 - 
       (7*t[61])/6 - (39*t[62])/4 - (55*t[63])/12 + (199*t[64])/12 - 
       (155*t[65])/18 + (19*t[66])/9 - 3*t[74] - t[75] - t[78] + t[79] - 
       2*t[81] + t[82] + 6*t[83] - (13*t[84])/6 - (17*t[85])/6 + 12*t[86] + 
       (17*t[87])/2 + (17*t[88])/4 + (7*t[89])/12 + 6*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (-t[1] - (3*t[2])/2 + 2*t[3] - (25*t[4])/4 - (17*t[5])/12 + 4*t[6] - 
       (29*t[7])/4 + (55*t[8])/12 + (26*t[9])/3 - (265*t[10])/24 - 13*t[11] + 
       (41*t[12])/24 - (253*t[13])/72 + (515*t[14])/144 - (629*t[15])/72 - 
       (4*t[27])/3 + (8*t[28])/3 + (4*t[29])/3 - (10*t[30])/3 + 3*t[31] + 
       8*t[35] - 2*t[37] + (4*t[39])/3 - (5*t[43])/6 - (7*t[44])/3 - t[45] - 
       2*t[46] + 3*t[47] + (10*t[48])/3 + (31*t[49])/24 - (11*t[50])/2 - 
       (83*t[51])/48 + (11*t[52])/2 - (31*t[53])/24 + (59*t[54])/12 - 
       2*t[59] + (55*t[60])/6 - 13*t[61] - (7*t[62])/24 + (197*t[63])/8 + 
       (107*t[64])/12 + (23*t[65])/2 + (19*t[66])/3 - (4*t[72])/3 - 2*t[73] - 
       t[74] + 5*t[75] + 3*t[78] + (5*t[79])/2 - (5*t[81])/6 + (13*t[82])/6 - 
       (43*t[83])/6 + (11*t[84])/4 + (25*t[85])/6 + (11*t[86])/6 - 8*t[87] - 
       4*t[88] + (43*t[89])/6 + 6*t[100]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u]*
      ((-29*t[1])/4 + (51*t[2])/8 + (75*t[3])/16 - (133*t[4])/16 + 
       (257*t[5])/16 - (777*t[6])/32 - (281*t[7])/16 + (339*t[8])/16 - 
       (383*t[9])/16 + (1317*t[10])/32 - (613*t[11])/32 + (321*t[12])/32 - 
       (1373*t[13])/288 + (1079*t[14])/64 + (31*t[15])/96 + t[16]/4 - 
       (11*t[17])/4 - 3*t[19] - 4*t[20] + 3*t[21] + 17*t[22] - 4*t[23] + 
       t[24]/2 + 13*t[25] - (15*t[26])/4 + 6*t[27] + (21*t[29])/4 + 
       (33*t[30])/2 - 2*t[31] + (7*t[32])/2 - 5*t[33] - 7*t[34] - 6*t[35] + 
       (7*t[36])/2 + 6*t[37] - 3*t[38] + 5*t[39] + 6*t[40] + (5*t[41])/2 - 
       2*t[42] - (37*t[43])/16 + (3*t[44])/8 - (29*t[45])/8 - (13*t[46])/2 + 
       (53*t[47])/4 + (735*t[48])/32 + (5*t[49])/32 - (717*t[50])/32 + 
       (345*t[51])/64 + (429*t[52])/32 - (53*t[53])/32 + (187*t[54])/32 + 
       2*t[56] + t[57] + t[58]/4 + 2*t[59] - (15*t[60])/4 + (15*t[61])/4 + 
       (35*t[62])/8 + (101*t[63])/8 + (197*t[64])/8 - (4*t[65])/3 - 
       25*t[66] + t[67]/2 - 2*t[70] + 2*t[71] + t[74] + 2*t[77] + 9*t[80] + 
       t[81]/2 + t[82]/2 + t[84]/2 - t[85]/4 - 8*t[86] - (3*t[87])/4 - 
       (3*t[88])/8 - (49*t[89])/8 - t[94] + 6*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*Omega2[u, v, w]*(-t[1] - (7*t[3])/4 - 
       (41*t[4])/4 + (53*t[5])/8 + (79*t[6])/8 - (3*t[7])/4 + (43*t[8])/4 + 
       (23*t[9])/8 - (9*t[10])/2 - (91*t[11])/8 + (13*t[12])/8 - 
       (53*t[13])/8 + (147*t[14])/16 + (191*t[15])/48 + 2*t[25] - 2*t[27] + 
       t[28] + t[29] + t[31] - 2*t[38] + t[39] - t[40] + (7*t[46])/2 + 
       (49*t[48])/8 + t[49]/2 - (43*t[50])/8 - (51*t[51])/16 + (43*t[52])/8 + 
       t[53] + (113*t[54])/8 + t[59] + (21*t[60])/4 + 13*t[61] + 
       (135*t[62])/8 + (205*t[63])/8 - (9*t[64])/2 + (13*t[65])/4 + 
       (139*t[66])/12 + 2*t[69] - 2*t[72] - t[74] + 3*t[75] + t[77] + 
       2*t[78] - t[80] + t[81] - t[82] - 17*t[83] - t[84] - (15*t[85])/2 - 
       34*t[86] - (21*t[87])/2 - (29*t[88])/4 + (31*t[89])/8 + 2*t[95] + 
       6*t[100]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w]*(-t[1]/2 + (15*t[2])/8 - 
       (263*t[3])/16 - 31*t[4] + (911*t[5])/32 + (841*t[6])/32 - 
       (1127*t[7])/16 + (1451*t[8])/16 - (1089*t[9])/32 + (41*t[10])/2 - 
       (725*t[11])/32 - (121*t[12])/32 + (13321*t[13])/288 + 
       (2363*t[14])/48 + (3371*t[15])/192 + (5*t[16])/4 + 3*t[25] + 
       (5*t[26])/2 + (9*t[27])/2 + 14*t[28] - (9*t[29])/2 - (3*t[30])/2 + 
       2*t[31] - 3*t[32] + 3*t[33] + (9*t[34])/2 + 18*t[35] - t[36]/2 - 
       (5*t[37])/2 - (3*t[38])/2 + (9*t[39])/4 - t[40]/4 - (9*t[41])/4 + 
       (9*t[42])/4 + (75*t[43])/8 + (9*t[44])/4 - (33*t[45])/8 + 
       (11*t[46])/4 + (21*t[47])/4 + (773*t[48])/32 - (413*t[49])/16 - 
       (1023*t[50])/32 + (193*t[51])/16 + (911*t[52])/32 + (269*t[53])/16 + 
       (1603*t[54])/32 - (3*t[58])/2 + (13*t[59])/4 + (1035*t[60])/16 + 
       (493*t[61])/16 + (1207*t[62])/32 - (127*t[63])/32 + (989*t[64])/32 + 
       (1195*t[65])/48 - (1857*t[66])/16 - t[67]/2 - (3*t[68])/2 - 2*t[70] + 
       2*t[71] + 4*t[72] + 4*t[73] - t[74] + 2*t[75] + (35*t[76])/4 + 
       2*t[77] + (87*t[78])/4 - 28*t[79] + (101*t[80])/2 + (25*t[81])/4 - 
       12*t[82] - 37*t[83] + (593*t[84])/16 + (243*t[85])/16 - 
       (201*t[86])/4 - (347*t[87])/16 - (363*t[88])/32 + (133*t[89])/32 - 
       t[91]/12 + t[93] - 9*t[96] - 5*t[97] + 6*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-179*t[1])/144 + t[2]/3 - (1109*t[3])/192 - (439*t[4])/288 + 
       (565*t[5])/384 + (965*t[6])/576 - (101*t[7])/64 + (167*t[8])/192 - 
       (1915*t[9])/1152 + (301*t[10])/36 - (3181*t[11])/576 - 
       (4331*t[12])/384 + (2737*t[13])/3456 + (6431*t[14])/1728 + 
       (62521*t[15])/6912 + t[25]/6 + (35*t[26])/36 - (2*t[27])/3 + 
       (11*t[28])/6 + t[29]/6 + t[30]/12 + (7*t[31])/6 - t[32]/2 + t[33]/2 + 
       t[34]/6 - 2*t[35] + t[36] + t[37]/2 - (47*t[38])/36 + (7*t[39])/6 - 
       (2*t[40])/3 - t[41]/12 + t[42]/12 + (113*t[43])/96 - t[44]/6 + 
       (35*t[45])/16 + (61*t[46])/36 - (39*t[47])/8 + (21*t[48])/32 + 
       (1025*t[49])/576 - (51*t[50])/32 - (3469*t[51])/1152 + (73*t[52])/96 - 
       (121*t[53])/64 - (35*t[54])/12 - t[58]/6 + (199*t[59])/144 + 
       (1067*t[60])/288 + (2729*t[61])/96 + (8579*t[62])/576 + 
       (10369*t[63])/576 - (3611*t[64])/192 + (1613*t[65])/216 + 
       (715*t[66])/54 + t[69] - t[72]/2 - (9*t[73])/2 + (3*t[74])/2 - 
       2*t[75] + (4*t[76])/9 + (49*t[77])/24 + (49*t[78])/9 - 4*t[79] - 
       (7*t[80])/2 + (61*t[81])/18 - (61*t[82])/12 + (15*t[83])/2 + 
       (503*t[84])/96 + (985*t[85])/288 - (145*t[86])/6 - (2111*t[87])/288 - 
       (2735*t[88])/576 + (9113*t[89])/576 + t[97]/6 + (19*t[98])/2 - 
       (23*t[99])/2 + 6*t[100]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((45*t[1])/4 + (11*t[3])/36 - (1013*t[4])/144 - 
       (61*t[5])/48 + (9*t[6])/32 - (805*t[7])/144 - (973*t[8])/144 + 
       (29*t[9])/144 - (1723*t[10])/288 + (1945*t[11])/288 - (929*t[12])/32 + 
       (889*t[13])/216 + (1205*t[14])/1728 - (517*t[15])/108 - 12*t[26] + 
       t[27] + (5*t[31])/4 + (3*t[37])/4 + 12*t[38] + (55*t[43])/72 - 
       (31*t[46])/3 - (169*t[48])/96 + (2701*t[49])/288 - (251*t[50])/288 + 
       (10313*t[51])/576 + (251*t[52])/288 - (2485*t[53])/288 + 
       (1741*t[54])/288 - (43*t[59])/4 - (5*t[60])/2 + (103*t[61])/24 - 
       (5263*t[62])/288 + (12151*t[63])/288 - (1307*t[64])/144 - 
       (7165*t[65])/216 - (7495*t[66])/108 - t[67]/12 - (8*t[69])/3 + 
       (3*t[70])/2 - (17*t[71])/12 + (16*t[74])/3 - 9*t[75] - (9*t[76])/4 + 
       (23*t[79])/8 + t[80] + (5*t[81])/8 - (5*t[82])/8 + (545*t[83])/36 - 
       (1261*t[84])/144 - (193*t[85])/72 - (1231*t[86])/72 - 
       (1705*t[87])/72 - (1687*t[88])/144 - (5273*t[89])/144 + 
       (20*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[u, v, w]*
      ((-5*t[2])/4 + (2*t[3])/3 - (23*t[4])/12 - (13*t[5])/12 + (11*t[6])/8 - 
       (4*t[7])/3 - (19*t[8])/6 - t[9]/4 - (21*t[10])/8 - (59*t[11])/24 + 
       t[12]/24 + (119*t[13])/72 + (5*t[14])/48 - 2*t[15] + t[19] - t[21] + 
       t[23] - (2*t[27])/3 - (2*t[28])/3 + (2*t[29])/3 - (2*t[30])/3 + 
       2*t[31] + 6*t[35] - 2*t[37] - t[39]/3 + t[44]/3 - t[46]/2 + t[48]/24 + 
       t[49]/8 - (11*t[50])/24 + (19*t[51])/48 + (11*t[52])/24 - t[53]/8 + 
       (15*t[54])/8 - t[59]/2 + (7*t[60])/12 - (5*t[61])/4 - t[62]/8 + 
       (79*t[63])/24 + (19*t[64])/24 + (13*t[65])/36 - (7*t[66])/36 + t[69] + 
       t[72]/3 - t[73] + t[75] + t[78] - (2*t[81])/3 + (4*t[82])/3 - 
       (7*t[83])/6 - t[84]/12 + (17*t[85])/12 - (11*t[87])/12 - 
       (11*t[88])/24 + (13*t[89])/24 + 7*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((-31*t[1])/72 - (4*t[2])/9 + (183*t[3])/32 + (191*t[4])/36 - 
       (15695*t[5])/576 + (2311*t[6])/288 + (349*t[7])/288 - 
       (1637*t[8])/288 + (16619*t[9])/576 - (5539*t[10])/288 - 
       (3139*t[11])/288 + (8515*t[12])/576 - (2959*t[13])/5184 - 
       (4253*t[14])/576 - (68581*t[15])/3456 + (13*t[26])/18 - (13*t[27])/9 + 
       (8*t[28])/9 + (13*t[29])/9 - (47*t[30])/18 + (22*t[31])/3 + 
       (13*t[32])/9 - (13*t[33])/9 - (13*t[34])/18 + (40*t[35])/3 - 
       (11*t[37])/3 + (17*t[39])/9 - (35*t[40])/9 + (13*t[41])/36 - 
       (13*t[42])/36 - (691*t[43])/144 + (5*t[44])/9 - (239*t[45])/72 - 
       (11*t[46])/12 + (97*t[47])/12 + (221*t[48])/144 - (233*t[49])/144 - 
       (3*t[50])/16 + (191*t[51])/288 + (547*t[52])/144 + (233*t[53])/144 + 
       (437*t[54])/144 + (13*t[58])/18 - (89*t[59])/24 + (67*t[60])/36 - 
       (973*t[61])/36 + (271*t[62])/36 - (2551*t[63])/72 + (145*t[64])/24 + 
       (1589*t[65])/432 - (2261*t[66])/432 - (11*t[69])/3 + t[73]/3 - 
       t[75]/3 - (91*t[76])/18 + (3*t[77])/4 + (26*t[78])/9 - (13*t[80])/9 - 
       2*t[81] + (10*t[82])/3 + (3*t[83])/2 + (11*t[84])/6 + (161*t[85])/36 + 
       7*t[86] + (77*t[87])/36 + (77*t[88])/72 + (191*t[89])/24 - 
       (13*t[97])/18 - (287*t[98])/3 + (302*t[99])/3 + (43*t[100])/6) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^3*((-17*t[1])/8 + (49*t[2])/24 + 
       (305*t[3])/48 + (175*t[4])/96 - (513*t[5])/64 - (223*t[6])/192 - 
       (253*t[7])/48 + (41*t[8])/24 + (693*t[9])/64 + (37*t[10])/64 - 
       (1297*t[11])/64 + (511*t[12])/96 - (487*t[13])/54 - (985*t[14])/1152 - 
       (12941*t[15])/1152 - (5*t[17])/12 - t[19] - (2*t[20])/3 + t[21] + 
       (5*t[22])/2 - t[23] + (13*t[25])/6 - (7*t[26])/12 + (5*t[27])/6 + 
       (11*t[28])/6 + (25*t[29])/24 + (13*t[30])/12 + (7*t[31])/6 + 
       (7*t[32])/6 - (3*t[33])/2 + (2*t[34])/3 + t[35] + t[36]/2 + t[37]/2 - 
       (5*t[38])/6 + (8*t[39])/3 - t[40]/2 - t[41]/4 + t[42]/4 - 
       (371*t[43])/96 - (77*t[44])/48 - (115*t[45])/48 - (9*t[46])/4 + 
       (61*t[47])/8 + (1099*t[48])/192 + (173*t[49])/192 - (1249*t[50])/192 + 
       (89*t[51])/384 + (1249*t[52])/192 - (221*t[53])/192 + (301*t[54])/64 + 
       t[56]/4 + t[57]/2 + t[58]/12 - (8*t[59])/3 - (55*t[60])/96 - 
       (3109*t[61])/96 + (683*t[62])/192 + (2365*t[63])/192 - 
       (1025*t[64])/192 + (755*t[65])/32 + (583*t[66])/32 - (3*t[69])/2 + 
       t[72]/6 - (2*t[73])/3 - (3*t[74])/2 + t[75]/3 + (7*t[76])/6 - 
       (3*t[77])/4 + (3*t[78])/4 - (41*t[80])/12 - (13*t[81])/12 + 
       (91*t[82])/24 - (53*t[83])/12 - (123*t[84])/32 + (33*t[85])/32 - 
       (13*t[86])/4 + (197*t[87])/96 + (197*t[88])/192 + (1391*t[89])/192 - 
       t[91]/72 + t[93]/6 - (7*t[97])/12 + 5*t[98] - 3*t[99] + 
       (22*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*((2*t[13])/3 + t[14]/3 - t[51]/3 - t[59] + 
       t[62]/3 - t[63]/3 + t[64] - (94*t[65])/9 - (4*t[66])/3 + (4*t[88])/3 + 
       8*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 
       1 - u]*(-7*t[1] - t[2]/3 + (8*t[3])/3 - (65*t[4])/3 + (3*t[5])/2 + 
       (7*t[6])/4 + (22*t[7])/3 + 8*t[8] - (13*t[9])/6 + t[10] - 
       (115*t[11])/12 + 17*t[12] - (131*t[13])/9 + t[14]/2 - (101*t[15])/36 - 
       2*t[31] - (7*t[42])/3 - (10*t[43])/3 - t[46] - t[48]/4 + (8*t[49])/3 + 
       (29*t[50])/12 - (7*t[51])/12 - (29*t[52])/12 - (8*t[53])/3 - 
       (13*t[54])/12 + (4*t[59])/3 - (15*t[60])/2 - (21*t[61])/2 - 
       (28*t[62])/3 - (41*t[63])/3 + (221*t[64])/12 - (7*t[65])/6 + 
       (49*t[66])/18 - 2*t[74] + 4*t[79] - t[81] + t[82] + (8*t[83])/3 - 
       (4*t[84])/3 - (13*t[85])/6 + (70*t[86])/3 + (29*t[87])/6 + 
       (29*t[88])/12 - (17*t[89])/12 + 8*t[100]) + 
     HPL[{0, 1}, 1 - u]*M1[v, w, u]*(-t[1]/6 - t[2]/3 + (31*t[3])/16 + 
       (7*t[4])/6 - (721*t[5])/96 + (77*t[6])/48 + (167*t[7])/48 - 
       (199*t[8])/48 + (1201*t[9])/96 - (545*t[10])/48 - (59*t[11])/48 + 
       (509*t[12])/96 + (313*t[13])/864 - (247*t[14])/96 - (1385*t[15])/192 + 
       t[26]/6 - t[27]/3 + (2*t[28])/3 + t[29]/3 - (4*t[30])/3 + 2*t[31] + 
       t[32]/3 - t[33]/3 - t[34]/6 + 4*t[35] - t[37] + (2*t[39])/3 - 
       (5*t[40])/3 + t[41]/12 - t[42]/12 - (29*t[43])/24 + (2*t[44])/3 - 
       (31*t[45])/12 - t[46]/2 + (11*t[47])/2 + (5*t[48])/12 - (7*t[49])/24 + 
       t[50]/4 + (13*t[51])/48 + (7*t[52])/12 + (7*t[53])/24 + t[54]/6 + 
       t[58]/6 - t[59] + (19*t[60])/12 - (73*t[61])/12 - (35*t[62])/12 - 
       (143*t[63])/12 + (33*t[64])/4 - (59*t[65])/72 - (313*t[66])/72 - 
       t[69] - (7*t[76])/6 + (3*t[77])/2 + (2*t[78])/3 + (19*t[80])/6 - 
       t[81]/2 + (5*t[82])/4 + t[83]/2 + (3*t[84])/4 + (17*t[85])/12 + 
       (21*t[86])/2 - t[87]/12 - t[88]/24 + (9*t[89])/8 - t[97]/6 - 
       14*t[98] + 14*t[99] + 8*t[100]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1, 1}, 1 - u]*((5*t[1])/12 + (45*t[2])/8 + (53*t[3])/24 - 
       (37*t[4])/3 + (169*t[5])/48 + (259*t[6])/48 - (247*t[7])/24 + 
       (103*t[8])/24 - (175*t[9])/12 - (5*t[10])/8 - (51*t[11])/16 + 
       (69*t[12])/16 + (2123*t[13])/432 - (107*t[14])/36 + (3623*t[15])/288 - 
       t[18]/3 + 2*t[19] - 2*t[21] + t[22]/6 + 2*t[23] + t[24] - t[25] - 
       t[26]/6 + t[28] + t[30] + 5*t[31] - t[32]/3 + t[33]/3 + t[34]/6 + 
       4*t[35] - 4*t[37] + t[38] - t[39]/3 + (2*t[40])/3 - (5*t[41])/12 + 
       t[42]/12 + (5*t[43])/8 - t[44] - (3*t[45])/4 + (5*t[46])/6 + 
       (7*t[47])/6 - (343*t[48])/48 - (23*t[49])/6 + (49*t[50])/48 + 
       (59*t[51])/24 - (89*t[52])/48 + (23*t[53])/6 + (271*t[54])/48 - 
       t[58]/6 - (13*t[59])/4 - (29*t[60])/2 - (265*t[61])/12 + 
       (143*t[62])/6 - (127*t[63])/12 - (181*t[64])/12 + (29*t[65])/24 + 
       (2029*t[66])/72 + 2*t[69] - 2*t[73] + (5*t[74])/6 + t[75] - 
       (11*t[76])/6 + t[77]/6 + (10*t[78])/3 + (5*t[79])/2 - 7*t[80] - 
       (11*t[81])/12 + 4*t[82] + (17*t[83])/2 - (31*t[84])/4 - (7*t[85])/24 - 
       (32*t[86])/3 + (179*t[87])/24 + (179*t[88])/48 - (27*t[89])/4 - 
       (5*t[97])/6 - 26*t[98] + 22*t[99] + 8*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((5*t[1])/2 - 2*t[2] - 2*t[3] + (71*t[4])/8 - (667*t[5])/24 + 
       (81*t[7])/8 + (551*t[8])/24 + (107*t[9])/12 + (925*t[10])/48 - 
       (153*t[11])/8 + (181*t[12])/48 - (341*t[13])/48 - (3029*t[14])/288 - 
       (1141*t[15])/144 - t[25] + 2*t[26] - t[27]/3 - (10*t[28])/3 + 
       t[29]/3 + (8*t[30])/3 + t[32] - t[33] - t[34] + 2*t[35] - t[36] - 
       2*t[37] - (2*t[39])/3 - 3*t[40] + t[41]/2 - t[42]/2 - (131*t[43])/24 + 
       (8*t[44])/3 - 2*t[45] - t[46]/2 + 5*t[47] - (73*t[48])/24 + 
       (245*t[49])/48 + (61*t[50])/8 - (727*t[51])/96 - (21*t[52])/8 - 
       (197*t[53])/48 - (16*t[54])/3 + t[58] + t[59] - (173*t[60])/24 + 
       (3*t[61])/2 - (721*t[62])/24 - (19*t[63])/8 + (667*t[64])/24 - 
       (49*t[65])/6 + (79*t[66])/24 - t[68]/2 + t[69] - (28*t[72])/3 + 
       8*t[73] - (13*t[74])/2 - (21*t[75])/2 - 6*t[76] + t[77]/2 - 6*t[78] + 
       (13*t[79])/2 - (25*t[80])/2 - (23*t[81])/6 + (2*t[82])/3 + 
       (71*t[83])/6 + t[84]/8 + (145*t[85])/24 + (55*t[86])/3 + 
       (67*t[87])/8 + (67*t[88])/16 + (893*t[89])/48 - t[93] + t[97] - 
       14*t[98] + 11*t[99] + (17*t[100])/2) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*(9*t[1] + (37*t[2])/6 + 10*t[3] + 5*t[4] - 
       (415*t[5])/12 + (119*t[6])/24 + (635*t[7])/12 + (427*t[8])/4 + 
       (293*t[9])/12 + (517*t[10])/12 - (1687*t[11])/24 - (25*t[12])/12 - 
       (2378*t[13])/27 - (607*t[14])/12 - (307*t[15])/24 - (4*t[16])/3 - 
       (10*t[25])/3 - (14*t[26])/3 + (38*t[27])/3 - 16*t[28] - 6*t[29] + 
       14*t[30] + 2*t[32] - 2*t[33] - (2*t[34])/3 + 4*t[35] - 20*t[36] + 
       (14*t[37])/3 + (26*t[38])/3 + 2*t[39] - (5*t[40])/3 + t[41]/3 - 
       t[42]/3 - (95*t[43])/4 - 3*t[44] + (55*t[45])/6 - 26*t[46] - 
       (49*t[47])/3 + (143*t[48])/8 + (38*t[49])/3 + (161*t[50])/24 + 
       (449*t[51])/24 - (17*t[52])/24 - (20*t[53])/3 + (407*t[54])/24 + 
       (2*t[58])/3 - 5*t[59] - (307*t[60])/12 - (337*t[61])/12 - 
       (983*t[62])/24 + (131*t[63])/24 - (1397*t[64])/24 + (107*t[65])/36 + 
       (4703*t[66])/36 - 12*t[68] - (4*t[70])/3 + (4*t[71])/3 + 20*t[72] - 
       98*t[73] + (58*t[74])/3 + 98*t[75] - 40*t[76] - 9*t[77] + 
       (188*t[78])/3 - 12*t[79] - (320*t[80])/3 - (64*t[81])/3 + 
       (107*t[82])/3 + 40*t[83] - (337*t[84])/12 - (241*t[85])/12 + 
       (236*t[86])/3 + (1013*t[87])/12 + (279*t[88])/8 - (353*t[89])/8 + 
       (4*t[95])/3 + (4*t[96])/3 - 2*t[97] - 680*t[98] + 880*t[99] + 
       9*t[100]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((11*t[1])/3 + (31*t[2])/6 - (17*t[3])/4 - (311*t[4])/6 - 
       (185*t[5])/4 + (1345*t[6])/24 + (291*t[7])/4 + (715*t[8])/4 + 
       (41*t[9])/2 - t[10] + (565*t[11])/24 + (395*t[12])/6 - (5*t[13])/72 + 
       (751*t[14])/24 + (1027*t[15])/36 + (4*t[16])/3 - (20*t[17])/3 + 
       (4*t[18])/3 + 4*t[19] - 4*t[20] - (32*t[21])/3 + 8*t[22] + 
       (32*t[23])/3 - (58*t[24])/3 - t[26]/3 - 24*t[28] + 5*t[29] + 6*t[30] - 
       2*t[31] - (16*t[32])/3 - 6*t[33] - (10*t[34])/3 + 4*t[35] + 
       (2*t[36])/3 - 12*t[37] + (2*t[38])/3 - 6*t[39] - 8*t[40] + 2*t[42] - 
       (79*t[43])/12 - (67*t[44])/6 - (191*t[45])/6 - 14*t[46] + 
       (209*t[47])/3 - (263*t[48])/24 - (337*t[49])/12 + (55*t[50])/8 + 
       (57*t[51])/2 + (235*t[52])/24 + (337*t[53])/12 + (647*t[54])/24 - 
       (4*t[57])/3 + (7*t[58])/3 - 2*t[59] + (481*t[60])/12 + 
       (1631*t[61])/12 - (1497*t[62])/8 - (2167*t[63])/8 + (4267*t[64])/24 + 
       (5927*t[65])/36 + (1997*t[66])/36 - 2*t[67] - (10*t[68])/3 + 8*t[69] - 
       (8*t[70])/3 + (8*t[71])/3 + 12*t[72] - 98*t[73] - (10*t[74])/3 + 
       98*t[75] - 105*t[76] - 2*t[77] + (395*t[78])/3 - 36*t[79] + 68*t[80] - 
       5*t[81] - (23*t[82])/3 + 24*t[83] + (29*t[84])/4 - (835*t[85])/12 + 
       298*t[86] + (587*t[87])/12 + (587*t[88])/24 + (145*t[89])/8 + 
       t[91]/3 - 2*t[92] + 2*t[94] - (2*t[97])/3 - 680*t[98] + 880*t[99] + 
       9*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u]*
      (-t[1]/12 + 2*t[2] - (279*t[3])/16 - (137*t[4])/8 - (965*t[5])/32 - 
       (229*t[6])/12 + (27*t[7])/4 + (17*t[8])/2 + (5801*t[9])/96 + 
       (677*t[10])/8 - (79*t[11])/16 + (2875*t[12])/96 - (863*t[13])/72 + 
       (859*t[14])/32 - (581*t[15])/192 - 4*t[21] + 4*t[23] - t[37]/2 - 
       t[40] + 4*t[41] - 4*t[42] - (171*t[43])/16 + (93*t[45])/8 + 
       (9*t[46])/4 - (21*t[47])/4 - (13*t[48])/4 - (27*t[49])/8 + 
       (19*t[50])/4 + (3*t[51])/4 - (19*t[52])/4 + (27*t[53])/8 - 
       (3*t[54])/4 - (10*t[59])/3 - (17*t[60])/2 + (195*t[61])/8 - 
       (481*t[62])/24 + (283*t[63])/8 - (943*t[64])/8 + (25*t[65])/8 + 
       (2695*t[66])/72 - t[67]/12 + (4*t[69])/3 + (3*t[70])/2 - 
       (17*t[71])/12 - t[72] + (9*t[74])/2 - t[75] + t[77] - (9*t[79])/2 - 
       47*t[80] + (25*t[83])/4 + t[84]/2 + (5*t[85])/2 - 33*t[86] - t[87] - 
       t[88]/2 - (101*t[89])/8 + (55*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      (3*t[1] - (11*t[2])/4 + (85*t[3])/48 - (295*t[4])/12 + (471*t[5])/16 + 
       (91*t[6])/8 + (223*t[7])/12 + (55*t[8])/12 - (719*t[9])/48 - 
       (49*t[10])/12 + (383*t[11])/24 + (27*t[12])/16 - (181*t[13])/72 + 
       (547*t[14])/144 + (983*t[15])/72 + t[20] - 2*t[21] - t[22] + 2*t[23] + 
       t[24] + t[27] + t[28] - (3*t[29])/4 + (5*t[30])/2 - (3*t[31])/2 - 
       (3*t[32])/4 + t[33]/2 - t[34] - 4*t[35] + t[36]/2 + (5*t[37])/2 - 
       (3*t[41])/4 + (3*t[42])/4 + (31*t[43])/12 + (37*t[44])/8 + 4*t[45] + 
       (13*t[46])/4 - (21*t[47])/2 + (11*t[48])/2 - (61*t[49])/24 + 
       (19*t[50])/12 - (19*t[51])/24 - (19*t[52])/12 + (61*t[53])/24 - 
       (7*t[54])/24 + t[59] - (13*t[60])/8 + (109*t[61])/4 + (197*t[62])/48 - 
       (1637*t[63])/48 - (145*t[64])/12 + (5*t[65])/36 + (605*t[66])/72 + 
       3*t[69] + t[73] + 4*t[74] - t[75]/2 + 2*t[76] + t[77]/4 + 
       (11*t[79])/4 + (11*t[80])/2 + (5*t[81])/4 - (3*t[82])/4 - 
       (115*t[83])/6 + (11*t[84])/6 - (203*t[85])/24 + (107*t[86])/12 - 
       (257*t[87])/24 - (305*t[88])/48 - (625*t[89])/48 + 16*t[98] - 
       13*t[99] + (28*t[100])/3) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-7*t[1] - 2*t[3] + (63*t[4])/4 + (23*t[5])/4 - 
       (3*t[6])/2 + (21*t[7])/2 + (45*t[8])/2 + (5*t[9])/4 - (87*t[10])/8 + 
       (45*t[11])/2 + (107*t[12])/8 - (557*t[13])/36 + (245*t[14])/48 - 
       (5*t[15])/3 + 5*t[25] + 12*t[26] - 4*t[28] - 4*t[31] + 4*t[35] + 
       2*t[36] + 2*t[37] - 14*t[38] - 4*t[39] + 4*t[40] - 4*t[45] + 
       (13*t[46])/2 + 8*t[47] + t[48]/2 - (125*t[49])/8 + (5*t[50])/2 - 
       (93*t[51])/16 - (5*t[52])/2 + (137*t[53])/8 - (15*t[54])/4 + 3*t[59] + 
       (27*t[60])/4 - (3*t[61])/4 - (421*t[62])/8 + (133*t[63])/8 + 
       (527*t[64])/8 - (233*t[65])/12 + (143*t[66])/4 + t[67] + 6*t[69] - 
       2*t[70] + 2*t[71] + 2*t[73] - 4*t[74] - 2*t[75] - 4*t[77] - 4*t[78] + 
       6*t[80] + 2*t[82] + 10*t[83] - (11*t[84])/4 - (15*t[85])/4 + 
       46*t[86] + (73*t[87])/4 + (89*t[88])/8 + (41*t[89])/8 - 8*t[99] + 
       10*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*(5*t[1] + (3*t[2])/2 - (27*t[3])/4 + 5*t[4] + 
       (323*t[5])/8 + (135*t[6])/4 - (11*t[7])/4 + (51*t[8])/4 - 
       (239*t[9])/8 - 12*t[10] + (63*t[11])/4 - (173*t[12])/8 + 
       (121*t[13])/24 + (91*t[14])/12 + (203*t[15])/16 - 12*t[31] - 
       14*t[35] + 8*t[37] - t[42] + (15*t[43])/2 - 4*t[44] - 6*t[45] - 
       4*t[46] + 10*t[47] + 8*t[48] + t[49]/4 + 3*t[50] - (5*t[51])/8 - 
       3*t[52] - t[53]/4 - (11*t[54])/2 + 6*t[59] + 4*t[60] + 33*t[61] - 
       (19*t[62])/4 + (153*t[63])/4 + (311*t[64])/4 - (125*t[65])/6 - 
       (49*t[66])/6 + t[67] + 6*t[69] - 2*t[70] + 2*t[71] + 2*t[75] - 
       2*t[77] + 6*t[79] - 4*t[80] + 4*t[82] - 13*t[83] + t[84] - 7*t[85] + 
       9*t[86] + 3*t[87] + (3*t[88])/2 + 9*t[89] - 8*t[99] + 10*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((79*t[1])/12 - t[2]/8 + (491*t[3])/24 + (1675*t[4])/96 - 
       (583*t[5])/12 + (367*t[6])/24 + (553*t[7])/24 - (263*t[8])/24 + 
       (259*t[9])/6 - (10321*t[10])/192 - (325*t[11])/16 + (2963*t[12])/192 - 
       (10507*t[13])/288 - (2263*t[14])/128 - (4451*t[15])/192 - 
       (5*t[16])/3 + (10*t[25])/3 - (59*t[26])/12 - 5*t[27] - (22*t[28])/3 + 
       8*t[29] + (5*t[30])/6 + (17*t[31])/3 + (14*t[32])/3 - (14*t[33])/3 - 
       3*t[34] + (47*t[35])/3 - (4*t[36])/3 - (4*t[37])/3 + (19*t[38])/4 + 
       5*t[39] - 6*t[40] + (3*t[41])/2 - (3*t[42])/2 - (179*t[43])/12 - 
       (25*t[44])/3 - (19*t[45])/6 - (11*t[46])/6 + 11*t[47] + 
       (563*t[48])/24 - (1387*t[49])/192 + (13*t[50])/8 + (551*t[51])/384 + 
       (49*t[52])/24 + (73*t[53])/64 + (817*t[54])/96 + (8*t[58])/3 - 
       (67*t[59])/24 - (541*t[60])/32 + (5809*t[61])/96 - (1163*t[62])/192 + 
       (3377*t[63])/64 + (10825*t[64])/192 - (5861*t[65])/288 + 
       (34297*t[66])/288 + (2*t[68])/3 - 2*t[69] + 4*t[70] - 4*t[71] - 
       t[72]/3 - 16*t[73] - (5*t[74])/6 + (68*t[75])/3 - (71*t[76])/2 + 
       (13*t[77])/6 + (235*t[78])/6 + (3*t[79])/2 - (142*t[80])/3 - 
       (75*t[81])/4 + (21*t[82])/2 + (17*t[83])/6 - (511*t[84])/32 - 
       (5533*t[85])/96 - (283*t[86])/6 + (1249*t[87])/32 + (2209*t[88])/64 - 
       (3085*t[89])/192 - t[90]/3 - 4*t[95] - t[96] + (8*t[97])/3 - 
       241*t[98] + 293*t[99] + 10*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*((-3*t[1])/8 - (9*t[2])/8 + 
       (79*t[3])/16 - (3757*t[4])/384 + (1475*t[5])/192 - (121*t[6])/32 + 
       (155*t[7])/32 - (599*t[8])/96 - (1229*t[9])/192 - (1993*t[10])/768 - 
       (385*t[11])/64 + (967*t[12])/768 - (6781*t[13])/1152 - 
       (36535*t[14])/4608 - (1291*t[15])/2304 + t[19]/4 + t[21]/4 - t[23]/4 - 
       t[24]/3 - (3*t[26])/16 - (5*t[28])/4 + (2*t[29])/3 + (13*t[30])/8 + 
       (5*t[31])/3 + t[34]/8 + (11*t[35])/4 + t[37]/2 + t[38]/16 - t[39]/2 + 
       t[40]/4 + (3*t[41])/16 - (3*t[42])/16 + t[43]/3 + (7*t[44])/4 + 
       t[46] + t[47]/6 - (35*t[48])/24 - (67*t[49])/768 - t[50]/24 - 
       (137*t[51])/1536 - (7*t[52])/12 + (115*t[53])/768 + (133*t[54])/384 - 
       t[58]/8 - (7*t[59])/32 - (1255*t[60])/384 - (3847*t[61])/384 + 
       (2173*t[62])/768 + (729*t[63])/256 + (2569*t[64])/768 + 
       (3187*t[65])/1152 + (5443*t[66])/384 - t[69]/4 - (3*t[72])/4 + 
       (5*t[74])/8 + (23*t[75])/12 + (9*t[76])/8 + t[77]/8 - t[78] + 
       (67*t[79])/48 + (3*t[80])/4 - (3*t[81])/16 + (17*t[82])/8 - 
       (25*t[83])/6 - (485*t[84])/384 + (83*t[85])/384 + (53*t[86])/16 - 
       (1309*t[87])/384 - (1309*t[88])/768 - (367*t[89])/256 + t[97]/8 + 
       (27*t[98])/4 - (31*t[99])/4 + (121*t[100])/12) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - v]*(t[1]/2 + (33*t[2])/8 + 
       (15*t[3])/4 + (187*t[4])/24 - (257*t[5])/48 + (89*t[6])/6 - 
       (53*t[7])/4 + (217*t[8])/12 - (17*t[9])/48 + (119*t[10])/48 - 
       (26*t[11])/3 - (85*t[12])/24 + (299*t[13])/144 + (623*t[14])/288 - 
       (2455*t[15])/864 + t[18]/3 + t[22] + t[24] + (3*t[28])/2 - 
       (5*t[29])/6 + (3*t[30])/2 + t[31] - (13*t[32])/2 + (35*t[33])/6 + 
       (4*t[34])/3 - (19*t[35])/3 - t[36]/2 - t[37]/2 - t[41]/4 + t[42]/4 - 
       t[43]/4 + (25*t[44])/6 - (3*t[47])/2 + (45*t[48])/8 + (65*t[49])/48 - 
       (53*t[50])/8 - (65*t[51])/96 + (53*t[52])/8 - (65*t[53])/48 + 
       (127*t[54])/12 - (5*t[59])/12 + (115*t[60])/12 + (19*t[61])/3 + 
       (409*t[62])/48 - (263*t[63])/16 - 8*t[64] + (4*t[65])/9 + 
       (16*t[66])/3 - (13*t[69])/3 + (8*t[70])/3 - (8*t[71])/3 + 
       (11*t[74])/3 + (23*t[75])/6 - t[76] + t[77]/2 + (5*t[78])/2 - 
       (4*t[79])/3 - (5*t[80])/2 - (7*t[81])/12 + (7*t[82])/12 - 
       (20*t[83])/3 + (23*t[84])/8 + (8*t[85])/3 - (23*t[86])/3 + 
       (13*t[87])/4 + (13*t[88])/8 + (21*t[89])/2 - 12*t[98] + 14*t[99] + 
       (21*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(-t[1]/4 + (43*t[2])/16 + (335*t[3])/48 - 
       (299*t[4])/24 + (2065*t[5])/144 - (2701*t[6])/288 + (15*t[7])/16 + 
       (1573*t[8])/144 - (1187*t[9])/144 - (227*t[10])/12 + (409*t[11])/288 + 
       (619*t[12])/144 + (2243*t[13])/216 - (11587*t[14])/432 - 
       (829*t[15])/216 + t[17]/2 - 2*t[18] + t[19]/3 + t[21] - t[23] + 
       (8*t[24])/9 - (9*t[29])/4 + 7*t[30] - (55*t[31])/9 - t[33]/2 - 
       t[34]/2 - 3*t[35] + t[36] - (3*t[37])/2 - (5*t[39])/4 + t[40]/4 + 
       (3*t[41])/2 - t[42] - (83*t[43])/36 - t[44]/4 - 3*t[45] + 
       (67*t[47])/6 + (1925*t[48])/288 - (383*t[49])/144 + (301*t[50])/288 + 
       (617*t[51])/288 - (301*t[52])/288 + (383*t[53])/144 - (155*t[54])/96 - 
       (1057*t[60])/48 - (1337*t[61])/144 - (1975*t[62])/144 - 
       (1361*t[63])/48 + (1877*t[64])/32 - (89*t[65])/108 - 
       (1435*t[66])/432 + t[69] - t[72]/2 + t[73] - t[77]/4 + 5*t[78] + 
       (29*t[79])/8 + 6*t[80] + t[81] + (3*t[82])/2 - (26*t[83])/9 - 
       (1297*t[84])/144 - (1925*t[85])/144 + (1477*t[86])/72 + 
       (3203*t[87])/144 + (2627*t[88])/288 - (77*t[89])/96 + 
       (127*t[100])/12) + HPL[{0, 1}, 1 - u]*Qep[w, u, v]*
      ((136*t[1])/9 + (80*t[2])/9 + 22*t[3] + (80*t[4])/9 + (277*t[5])/9 + 
       (350*t[6])/9 + (242*t[7])/9 + (446*t[8])/9 + (287*t[9])/9 - 
       (1550*t[10])/9 + (370*t[11])/9 - (65*t[12])/9 - (4423*t[13])/81 - 
       (161*t[14])/9 - (1513*t[15])/54 + (32*t[26])/9 - (64*t[27])/9 + 
       (128*t[28])/9 + (64*t[29])/9 - (160*t[30])/9 - (128*t[31])/3 + 
       (64*t[32])/9 - (64*t[33])/9 - (32*t[34])/9 - (128*t[35])/3 + 
       (64*t[37])/3 + (128*t[39])/9 - (128*t[40])/9 + (16*t[41])/9 - 
       (16*t[42])/9 + (164*t[43])/9 - (64*t[44])/9 - (280*t[45])/9 + 
       (16*t[46])/3 + (208*t[47])/3 + (644*t[48])/9 - (116*t[49])/9 + 
       4*t[50] - (26*t[51])/9 + (124*t[52])/9 + (116*t[53])/9 + 
       (68*t[54])/9 + (32*t[58])/9 + (56*t[59])/3 - (560*t[60])/9 + 
       (176*t[61])/9 - (248*t[62])/9 - (1376*t[63])/9 + (704*t[64])/3 + 
       (644*t[65])/27 - (2756*t[66])/27 + (64*t[69])/3 + (64*t[73])/3 - 
       (64*t[75])/3 - (224*t[76])/9 - 16*t[77] + (128*t[78])/9 + 
       (800*t[80])/9 + (16*t[82])/3 - 32*t[83] + (64*t[84])/3 - 
       (400*t[85])/9 + 96*t[86] + (560*t[87])/9 + (280*t[88])/9 + 
       (40*t[89])/3 - (32*t[97])/9 - (704*t[98])/3 + (704*t[99])/3 + 
       (32*t[100])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((-17*t[1])/16 - (133*t[2])/24 - (395*t[3])/64 - 
       (59*t[4])/4 + (2435*t[5])/128 + (767*t[6])/192 + (463*t[7])/64 + 
       (3523*t[8])/192 - (541*t[9])/384 + (3497*t[10])/192 + 
       (5405*t[11])/192 - (111*t[12])/128 + (54401*t[13])/3456 + 
       (25069*t[14])/1152 + (7763*t[15])/2304 + (5*t[17])/4 + (3*t[18])/2 - 
       t[19]/2 + t[21]/2 - t[23]/2 - (2*t[24])/3 - (5*t[26])/12 + 
       (5*t[27])/6 + (3*t[28])/2 - (5*t[29])/6 + (5*t[30])/12 - (5*t[31])/6 - 
       (5*t[32])/6 + (5*t[33])/6 + (5*t[34])/12 - (10*t[35])/3 + 
       (11*t[37])/6 + t[39]/6 + (5*t[40])/3 - (11*t[41])/24 + (11*t[42])/24 + 
       (75*t[43])/32 - (3*t[44])/2 + (161*t[45])/48 - (19*t[46])/8 + 
       (11*t[47])/24 + (37*t[48])/96 + (293*t[49])/96 - (595*t[50])/96 - 
       (13*t[51])/64 + (395*t[52])/96 - (293*t[53])/96 + (113*t[54])/96 - 
       (5*t[58])/12 - (21*t[59])/16 + (91*t[60])/8 + (1457*t[61])/24 - 
       (2233*t[62])/48 + (227*t[63])/8 + (585*t[64])/16 + (2513*t[65])/288 - 
       (11225*t[66])/288 - t[67]/4 - (2*t[69])/3 + t[70]/2 - t[71]/2 - 
       t[73]/6 - 6*t[74] + (7*t[75])/6 + (35*t[76])/12 + (9*t[77])/8 - 
       (13*t[78])/6 - (3*t[79])/4 - (77*t[80])/6 + (13*t[81])/6 - 
       (7*t[82])/6 - (43*t[83])/12 - (31*t[84])/24 + (95*t[85])/12 - 
       (43*t[86])/6 - (83*t[87])/12 - (83*t[88])/24 + (53*t[89])/16 + 
       t[94]/4 + (5*t[97])/12 + (57*t[98])/2 - (67*t[99])/2 + 
       (43*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*(-t[1]/2 + (19*t[2])/9 + (1043*t[3])/72 - 
       (1457*t[4])/144 + (287*t[5])/36 - (695*t[6])/48 + (337*t[7])/24 - 
       (155*t[8])/18 - (2081*t[9])/144 - (1105*t[10])/96 - (11*t[11])/9 - 
       (973*t[12])/96 - (6677*t[13])/216 + (16265*t[14])/1728 - 
       (3527*t[15])/864 + (7*t[16])/4 - t[19]/6 + (25*t[25])/18 + 
       (31*t[26])/18 + (7*t[27])/9 - (145*t[28])/18 + (11*t[29])/9 + 
       (25*t[30])/36 - (35*t[31])/18 + (11*t[32])/6 - (11*t[33])/6 + 
       t[34]/18 + (73*t[35])/6 + (9*t[36])/4 - (8*t[37])/3 - (5*t[38])/2 - 
       (113*t[39])/18 + (40*t[40])/9 - t[41]/36 + t[42]/36 + (13*t[43])/36 + 
       (41*t[44])/18 + (7*t[45])/6 + (1933*t[46])/144 - (5*t[47])/2 - 
       (17*t[48])/16 - (409*t[49])/96 + (889*t[50])/48 - (13015*t[51])/576 - 
       (2131*t[52])/144 - (1177*t[53])/96 - (73*t[54])/48 + (11*t[58])/18 - 
       (23*t[59])/12 - (659*t[60])/72 - (619*t[61])/16 - (6199*t[62])/144 + 
       (113*t[63])/2 + (2227*t[64])/144 - (15271*t[65])/432 + 
       (7421*t[66])/144 - t[69]/2 - (3*t[72])/2 - (33*t[73])/2 + 
       (14*t[74])/3 - (91*t[75])/6 - (221*t[76])/18 - (283*t[77])/36 + 
       (40*t[78])/9 + (19*t[79])/6 - (7*t[80])/2 - (125*t[81])/9 + 
       (229*t[82])/18 + (271*t[83])/6 - (1745*t[84])/144 - (2461*t[85])/144 + 
       (613*t[86])/9 + (293*t[87])/12 + (241*t[88])/24 - (3353*t[89])/144 + 
       (8*t[95])/3 - 2*t[96] - (35*t[97])/18 - (581*t[98])/6 + 
       (617*t[99])/6 + (65*t[100])/6) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - w]*(-t[2]/4 + (9*t[3])/2 - (23*t[4])/12 - 
       (13*t[5])/2 - (45*t[6])/8 - (43*t[7])/6 + (41*t[8])/6 + (3*t[9])/4 - 
       (169*t[10])/24 - (245*t[11])/24 + (103*t[12])/24 - (139*t[13])/108 - 
       (205*t[14])/16 - (95*t[15])/12 - t[20] + (2*t[24])/3 - (10*t[31])/3 - 
       t[32] + (4*t[37])/3 + t[40] - 3*t[43] - (4*t[45])/3 + (16*t[47])/3 + 
       (77*t[48])/24 + (101*t[49])/24 - (19*t[50])/24 - (77*t[51])/48 - 
       (5*t[52])/24 - (101*t[53])/24 - (13*t[54])/8 - (211*t[60])/12 - 
       (179*t[61])/12 - (157*t[62])/24 + (43*t[63])/8 + (803*t[64])/24 - 
       2*t[65] + (103*t[66])/18 - 4*t[74] - t[77]/2 + (16*t[79])/3 - 
       (7*t[80])/3 - t[81]/2 + t[82]/2 - (2*t[84])/3 - (37*t[85])/12 + 
       (37*t[86])/3 + (39*t[87])/4 + (39*t[88])/8 + (125*t[89])/24 + 
       11*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      ((5*t[1])/3 + (5*t[2])/6 + (23*t[3])/8 + (5*t[4])/6 + (95*t[5])/48 + 
       (65*t[6])/24 - (13*t[7])/24 + (65*t[8])/24 - (83*t[9])/48 - 
       (311*t[10])/24 - (23*t[11])/24 - (127*t[12])/48 - (3755*t[13])/432 - 
       (113*t[14])/48 - (179*t[15])/288 + t[26]/3 - (2*t[27])/3 + 
       (4*t[28])/3 + (2*t[29])/3 - (2*t[30])/3 - 4*t[31] + (2*t[32])/3 - 
       (2*t[33])/3 - t[34]/3 - 4*t[35] + 2*t[37] + (4*t[39])/3 - 
       (4*t[40])/3 + t[41]/6 - t[42]/6 + (13*t[43])/12 - (2*t[44])/3 - 
       (2*t[45])/3 + 2*t[47] + (19*t[48])/3 - (4*t[49])/3 + t[50] + t[51]/6 + 
       (2*t[52])/3 + (4*t[53])/3 + (4*t[54])/3 + t[58]/3 + 2*t[59] - 
       (16*t[60])/3 + (7*t[61])/3 + (29*t[62])/12 - (79*t[63])/12 + 
       (43*t[64])/4 + (31*t[65])/36 + (173*t[66])/36 + 2*t[69] - 
       (7*t[76])/3 - t[77] + (4*t[78])/3 + t[80]/3 - t[81] + t[82]/2 - 
       t[83] + t[84] - (20*t[85])/3 + t[86] + (25*t[87])/3 + (25*t[88])/6 + 
       t[89]/2 - t[97]/3 - 16*t[98] + 18*t[99] + 11*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^3*((-5*t[1])/4 + (13*t[2])/8 - 
       (21*t[3])/4 + (113*t[4])/32 - (17*t[5])/8 + (47*t[6])/4 + 2*t[7] + 
       17*t[8] + (3*t[9])/2 - (395*t[10])/64 - (33*t[11])/16 - 
       (103*t[12])/64 - (55*t[13])/96 + (3671*t[14])/384 + (341*t[15])/192 + 
       t[25] + (7*t[26])/4 - t[27] + 2*t[28] + t[29] - (3*t[30])/2 + 
       (3*t[31])/2 - t[34]/2 + 2*t[35] + t[36]/2 + t[37]/2 - (9*t[38])/4 + 
       t[39] - t[40] + t[41]/4 - t[42]/4 + t[43]/4 - t[44] - (3*t[46])/8 + 
       (49*t[48])/8 + (199*t[49])/64 - (15*t[50])/8 - (447*t[51])/128 + 
       (35*t[52])/8 - (231*t[53])/64 + (79*t[54])/32 + t[58]/2 + 
       (3*t[59])/8 + (215*t[60])/32 + (623*t[61])/32 + (883*t[62])/64 - 
       (371*t[63])/64 - (1077*t[64])/64 + (245*t[65])/96 - (173*t[66])/96 + 
       t[69]/2 + t[72]/2 + t[74]/2 + 5*t[75] - 6*t[76] - t[77]/2 + 12*t[78] - 
       (11*t[79])/2 - 3*t[80] + (3*t[81])/4 - t[82] - (25*t[83])/4 + 
       (141*t[84])/32 - (27*t[85])/32 - 16*t[86] + (61*t[87])/32 + 
       (61*t[88])/64 + (389*t[89])/64 - t[97]/2 - 27*t[98] + 25*t[99] + 
       (45*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      ((-3*t[2])/2 + 3*t[3] - (7*t[4])/2 - (13*t[5])/4 + (5*t[6])/2 - 
       (7*t[7])/2 - (5*t[8])/2 + (17*t[9])/4 - (29*t[10])/4 - 10*t[11] - 
       2*t[12] - (7*t[13])/6 - (3*t[14])/8 - (157*t[15])/24 - 2*t[27] + 
       3*t[29] - 2*t[30] + 4*t[31] + 8*t[35] - 2*t[37] - t[46] + 
       (5*t[48])/2 + (11*t[49])/4 - (7*t[50])/2 - (5*t[51])/8 + (7*t[52])/2 - 
       (11*t[53])/4 + 2*t[54] - t[59] + (17*t[60])/2 - (23*t[61])/2 + 
       2*t[62] + 14*t[63] + (3*t[64])/4 + 10*t[65] + (29*t[66])/6 - 2*t[73] + 
       6*t[75] + 4*t[78] + 2*t[82] - 9*t[83] + 2*t[84] + 3*t[85] + 2*t[86] - 
       8*t[87] - 4*t[88] + (17*t[89])/4 + (23*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((73*t[1])/72 + (77*t[2])/72 - (13*t[3])/6 + (33*t[4])/8 - 
       (1165*t[5])/144 + (49*t[6])/72 - (23*t[7])/4 - (859*t[8])/72 + 
       (77*t[9])/12 + (1043*t[10])/48 - (2407*t[11])/144 - (105*t[12])/8 - 
       (3025*t[13])/144 + (6815*t[14])/216 - (1385*t[15])/288 - t[16]/4 + 
       (2*t[19])/9 - (2*t[25])/3 - (37*t[26])/36 + (2*t[27])/3 + 
       (2*t[28])/3 - (2*t[29])/3 - t[30]/12 + (10*t[31])/3 - t[32]/2 + 
       t[33]/2 + (17*t[34])/36 + t[35]/2 - (83*t[36])/36 + t[37]/3 + 
       (53*t[38])/36 + t[39]/12 - (5*t[40])/9 - (17*t[41])/72 + 
       (17*t[42])/72 - t[43]/12 + t[44]/6 + (7*t[45])/2 - (109*t[46])/48 - 
       (15*t[47])/2 - (203*t[48])/72 + (47*t[49])/12 + (107*t[50])/72 - 
       (827*t[51])/288 - (61*t[52])/72 - (67*t[53])/16 + (277*t[54])/48 + 
       t[58]/36 - (13*t[59])/8 + (2021*t[60])/144 + (71*t[61])/6 - 
       (3847*t[62])/288 + (3743*t[63])/96 - (17491*t[64])/288 - 
       (3851*t[65])/108 - (2267*t[66])/72 - (9*t[73])/2 + (23*t[74])/9 - 
       (5*t[75])/2 - (49*t[76])/12 + (7*t[77])/12 + (101*t[78])/18 - 
       t[79]/2 - (29*t[80])/3 + (49*t[81])/12 - 3*t[82] + (10*t[83])/3 + 
       (19*t[84])/9 + (67*t[85])/18 - (131*t[86])/6 - (941*t[87])/48 - 
       (3031*t[88])/288 - (6157*t[89])/288 + (8*t[95])/9 - (3*t[96])/2 - 
       (37*t[97])/36 - (197*t[98])/6 + (185*t[99])/6 + (35*t[100])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-61*t[2])/4 - (15*t[3])/2 - (13*t[4])/2 - (37*t[5])/2 - 
       (119*t[6])/2 + (753*t[7])/4 - (203*t[8])/4 + (493*t[9])/4 - 35*t[10] + 
       (39*t[11])/2 + 26*t[12] - (109*t[13])/3 + (455*t[14])/24 + t[15]/24 - 
       3*t[17] - 6*t[18] - 10*t[24] + 26*t[31] - t[41] - 2*t[42] + 4*t[43] - 
       30*t[45] + 66*t[47] - 47*t[48] - (21*t[49])/4 + 20*t[50] + 
       (21*t[51])/8 - 20*t[52] + (21*t[53])/4 - (23*t[54])/2 + 81*t[60] - 
       32*t[61] - 50*t[62] - (169*t[63])/2 - (375*t[64])/4 + (113*t[65])/6 + 
       (61*t[66])/3 + 12*t[69] - 6*t[70] + 6*t[71] - (39*t[79])/2 + 
       13*t[83] - t[84] + 25*t[85] + (217*t[86])/2 - 79*t[87] - 
       (79*t[88])/2 - (21*t[89])/2 + 12*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (3*t[1] + t[3] + 5*t[4] + (3*t[5])/2 - 2*t[7] - 8*t[8] - (7*t[9])/2 + 
       t[10]/2 - 8*t[11] - 3*t[12] + (35*t[13])/6 - (47*t[14])/12 + 
       t[15]/12 + t[43] - 3*t[48] - t[49]/2 + t[50] + t[51]/4 - t[52] + 
       t[53]/2 - 2*t[54] + 3*t[59] - 3*t[60] - 3*t[61] + 5*t[62] - 5*t[63] - 
       (5*t[64])/2 - (16*t[65])/3 + (11*t[66])/6 + 4*t[83] - 2*t[84] + 
       2*t[85] - 4*t[86] + 2*t[87] + t[88] + t[89]/2 + 12*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((3*t[3])/2 - (33*t[4])/2 - (75*t[5])/4 + (3*t[6])/2 + (3*t[7])/2 - 
       (3*t[8])/2 + (51*t[9])/4 - (3*t[10])/4 - 21*t[11] + t[12]/2 - 
       7*t[13] + (73*t[14])/8 - (89*t[15])/8 + 12*t[31] + 12*t[35] - 
       6*t[37] - (21*t[48])/2 - (15*t[49])/4 - (9*t[50])/2 - (9*t[51])/8 + 
       (9*t[52])/2 + (15*t[53])/4 + 12*t[54] - 3*t[59] + (15*t[60])/2 - 
       (39*t[61])/2 - 12*t[62] + 36*t[63] - (9*t[64])/4 + (103*t[65])/6 + 
       (11*t[66])/2 - 12*t[73] + 6*t[83] - 3*t[84] + 15*t[85] + 6*t[86] - 
       9*t[87] - (9*t[88])/2 + (27*t[89])/4 + 3*t[99] + 12*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - v]*(-t[1]/2 + (19*t[2])/4 - 
       (83*t[3])/12 - (33*t[4])/8 + t[5]/16 - (41*t[6])/6 + (439*t[7])/24 - 
       (763*t[8])/24 + (593*t[9])/48 - t[10]/48 + (7*t[11])/6 + 
       (37*t[12])/24 - (775*t[13])/144 + (1205*t[14])/288 + 
       (1523*t[15])/864 - t[20] + (7*t[28])/3 - (11*t[29])/6 + (3*t[30])/2 + 
       t[32]/2 + t[33]/2 + (8*t[34])/3 - (5*t[35])/2 + t[36]/2 - t[43]/4 + 
       (53*t[44])/12 - (293*t[48])/24 - (11*t[49])/16 + (63*t[50])/8 + 
       (11*t[51])/32 - (63*t[52])/8 + (11*t[53])/16 - (13*t[54])/3 - 
       (4*t[59])/3 + (15*t[60])/4 + t[61]/4 - (93*t[62])/16 + 
       (145*t[63])/16 - (455*t[64])/24 - (443*t[65])/36 - (59*t[66])/12 - 
       t[69] + t[74]/2 + (4*t[75])/3 - t[76] - (3*t[77])/2 - t[78]/2 - 
       (2*t[79])/3 - t[80] - (11*t[81])/4 + (11*t[82])/4 - (20*t[83])/3 + 
       (41*t[84])/24 + (7*t[85])/12 - (8*t[86])/3 + (9*t[87])/2 + 
       (9*t[88])/4 - (41*t[89])/4 - 12*t[98] + 14*t[99] + 12*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - w]*((-5*t[1])/6 + (5*t[2])/6 - 
       t[3] + (11*t[4])/12 - (41*t[5])/24 + (95*t[6])/48 + (5*t[7])/4 + 
       (187*t[8])/12 - (439*t[9])/24 - (161*t[10])/24 - (49*t[11])/48 + 
       (25*t[12])/8 + (295*t[13])/72 - (1469*t[14])/72 + (319*t[15])/144 - 
       (2*t[19])/3 + (5*t[26])/3 - (19*t[28])/2 - t[34]/3 + 2*t[35] + 
       (5*t[36])/6 + t[37] - (4*t[38])/3 - (3*t[39])/2 + (5*t[40])/6 + 
       t[41]/6 - t[42]/6 + 4*t[44] + t[45] - (5*t[46])/4 - 2*t[47] + 
       (119*t[48])/48 - (59*t[49])/24 + (103*t[50])/48 + (41*t[51])/24 - 
       (23*t[52])/48 + (35*t[53])/24 - (251*t[54])/48 + t[58]/3 + t[59]/2 - 
       (93*t[60])/8 - (193*t[61])/24 + (35*t[62])/48 - (959*t[63])/48 + 
       (1369*t[64])/48 + 5*t[65] + (373*t[66])/18 - (5*t[74])/6 - 
       (9*t[75])/2 - (17*t[76])/6 - (3*t[77])/2 - (7*t[78])/6 + t[79] - 
       4*t[80] - (61*t[81])/12 + (7*t[82])/4 + 7*t[83] + (43*t[84])/12 + 
       (43*t[85])/24 + 12*t[86] + (159*t[87])/8 + (533*t[88])/48 + 
       (467*t[89])/48 - (4*t[95])/3 - t[97]/3 - 26*t[98] + 22*t[99] + 
       (25*t[100])/2) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((31*t[1])/36 - (17*t[2])/6 + (4883*t[3])/288 - 
       (5287*t[4])/576 + (11951*t[5])/576 + (607*t[6])/288 - 
       (5597*t[7])/288 - (10031*t[8])/288 - (18127*t[9])/576 - 
       (29807*t[10])/1152 - (3149*t[11])/144 - (1069*t[12])/128 - 
       (2323*t[13])/144 - (76249*t[14])/6912 + (10811*t[15])/1728 - 
       (7*t[18])/18 - t[21] - t[22]/2 + (31*t[23])/18 + (7*t[24])/3 - 
       (7*t[26])/24 - t[27]/6 + t[28]/3 + t[29]/6 - (5*t[30])/12 + 
       (47*t[31])/6 - t[33]/6 + t[34]/6 + 4*t[35] + (3*t[37])/2 + t[38]/8 + 
       t[39]/3 + t[40]/6 - (2*t[41])/3 + (17*t[42])/12 + (961*t[43])/144 + 
       (11*t[44])/6 - (51*t[45])/8 + (5*t[46])/4 - (91*t[47])/12 - 
       (43*t[48])/12 + (413*t[49])/384 - (16*t[50])/3 - (665*t[51])/768 + 
       (9*t[52])/2 - (365*t[53])/384 + (87*t[54])/64 - t[58]/6 - 
       (11*t[59])/144 + (283*t[60])/64 - (8893*t[61])/576 + 
       (17021*t[62])/384 + (30193*t[63])/1152 - (26965*t[64])/1152 - 
       (49267*t[65])/1728 + (38383*t[66])/1728 + t[67]/12 + (19*t[69])/6 - 
       t[70] + t[71] - t[72]/2 + (19*t[74])/12 - t[75]/2 + (5*t[76])/3 - 
       (5*t[77])/9 - (8*t[78])/3 - (47*t[79])/8 - (431*t[80])/36 + 
       (9*t[81])/8 + (179*t[82])/72 - (4*t[83])/3 - (557*t[84])/192 + 
       (657*t[85])/64 - (2117*t[86])/72 - (607*t[87])/64 - (607*t[88])/128 - 
       (3599*t[89])/1152 + t[97]/6 + (13*t[98])/2 - (17*t[99])/2 + 
       13*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-3*t[2])/4 + (8*t[3])/3 - (137*t[4])/12 + (95*t[5])/12 + 
       (37*t[6])/8 - 5*t[7] + t[8] - (13*t[9])/6 - (25*t[10])/8 - 
       (383*t[11])/24 - (55*t[12])/8 - (17*t[13])/2 + (689*t[14])/144 - 
       (67*t[15])/24 - (8*t[27])/3 + (19*t[28])/3 + (8*t[29])/3 - 
       (11*t[30])/3 + t[31] + 2*t[35] + (5*t[36])/3 + (7*t[39])/3 - 
       (4*t[40])/3 + t[43] - t[44] + 2*t[45] - t[46] - 4*t[47] + 
       (239*t[48])/24 + (67*t[49])/24 - (89*t[50])/24 - (43*t[51])/48 + 
       (89*t[52])/24 - (67*t[53])/24 + (35*t[54])/24 + (145*t[60])/12 - 
       (33*t[61])/4 + (57*t[62])/8 + (625*t[63])/24 - (209*t[64])/24 + 
       (71*t[65])/3 + (245*t[66])/18 + (4*t[72])/3 - t[73]/3 + (55*t[75])/3 + 
       (2*t[76])/3 + 9*t[78] + (5*t[81])/6 + (11*t[82])/6 - 24*t[83] + 
       (35*t[84])/6 - (9*t[85])/4 - (137*t[87])/12 - (137*t[88])/24 + 
       (37*t[89])/24 + (14*t[98])/3 - 6*t[99] + (79*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((27*t[1])/4 - (19*t[2])/12 + (569*t[3])/36 - (2309*t[4])/36 + 
       53*t[5] + (13*t[6])/2 + (2827*t[7])/72 + (727*t[8])/72 - 
       (1525*t[9])/36 + (305*t[10])/18 + (1001*t[11])/36 + (121*t[12])/24 - 
       (583*t[13])/12 - (2179*t[14])/108 + (5311*t[15])/216 - (2*t[16])/3 + 
       t[17]/3 - t[19] - 2*t[20] - 6*t[21] + (10*t[22])/3 + 6*t[23] - 
       (4*t[24])/3 - (2*t[25])/3 + (2*t[26])/3 + (14*t[27])/3 - t[28] - 
       t[29] + t[30] - (4*t[31])/3 + (5*t[32])/3 - 2*t[33] - (83*t[34])/6 - 
       9*t[35] + (5*t[36])/3 + 5*t[37] + (10*t[38])/3 + 2*t[39] + 
       (16*t[40])/3 - (35*t[41])/12 + (25*t[42])/12 + (29*t[43])/36 + 
       10*t[44] + (167*t[45])/6 + (143*t[46])/12 - (247*t[47])/6 + 
       (157*t[48])/12 - (785*t[49])/72 + (197*t[50])/36 + t[51]/72 - 
       (527*t[52])/36 + (785*t[53])/72 - (79*t[54])/9 - (2*t[56])/3 - 
       (8*t[57])/3 - (19*t[59])/12 - (739*t[60])/12 + (497*t[61])/12 - 
       (164*t[62])/9 - (1867*t[63])/36 + (773*t[64])/18 + (6409*t[65])/108 + 
       (8935*t[66])/54 + (2*t[67])/3 + (4*t[68])/3 + 6*t[69] + 4*t[73] + 
       (67*t[74])/6 + 6*t[75] - (5*t[76])/3 + t[77]/3 + (49*t[78])/6 + 
       (35*t[79])/12 - (13*t[80])/3 - (21*t[81])/2 - (7*t[82])/6 - 
       (367*t[83])/9 + (443*t[84])/36 - (1151*t[85])/36 + (1789*t[86])/36 + 
       (745*t[87])/36 + (709*t[88])/72 - (829*t[89])/72 + (2*t[92])/3 - 
       (2*t[94])/3 - (7*t[97])/6 + 4*t[98] + 12*t[99] + (41*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      (t[1]/2 - (3*t[2])/2 + (3*t[3])/8 - (49*t[4])/8 + (61*t[5])/16 - 
       (59*t[6])/16 - (129*t[7])/16 - (271*t[8])/16 - (35*t[9])/2 + 
       (187*t[10])/8 - (69*t[11])/4 - (39*t[12])/8 - (373*t[13])/96 - 
       (307*t[14])/32 + (449*t[15])/48 + (3*t[19])/2 - (3*t[21])/2 + 
       (3*t[23])/2 - t[25]/2 + t[30] + 2*t[31] + 5*t[35] - (3*t[37])/2 + 
       t[38]/2 + (3*t[41])/4 - (3*t[42])/4 + (21*t[43])/16 + 2*t[44] + 
       (21*t[45])/8 + (15*t[46])/4 - (65*t[47])/4 - (25*t[48])/8 - 
       (17*t[49])/16 + (33*t[50])/8 + (47*t[51])/32 - (33*t[52])/8 + 
       (17*t[53])/16 - t[54] + (5*t[59])/4 - (107*t[60])/8 - (187*t[61])/8 + 
       (531*t[62])/16 - (51*t[63])/16 - (445*t[64])/16 - (73*t[65])/8 + 
       (667*t[66])/24 + (3*t[69])/2 + t[73] + 3*t[74] - 2*t[75] + 2*t[77] - 
       2*t[79] - 6*t[80] - t[81]/2 - 2*t[82] + (45*t[83])/4 - (7*t[84])/8 - 
       (47*t[85])/8 - (35*t[86])/2 + (93*t[87])/8 + (93*t[88])/16 - 
       (109*t[89])/16 - 2*t[99] + (167*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[w, u, v]*(t[1] - (3*t[2])/4 + 
       (9*t[3])/4 - (21*t[4])/4 + (5*t[5])/8 - (7*t[6])/4 - (13*t[7])/4 - 
       (17*t[8])/4 - (15*t[9])/8 - (7*t[10])/8 - (17*t[11])/2 - 3*t[12] - 
       (11*t[13])/6 - (239*t[14])/48 - (113*t[15])/48 - t[25] - t[30] + 
       2*t[31] + 4*t[35] - t[37] + t[38] - t[46]/2 - t[48]/4 + t[49]/8 - 
       t[50]/4 + (5*t[51])/16 + t[52]/4 - t[53]/8 - t[59] - (9*t[60])/4 - 
       (35*t[61])/4 + 3*t[62] + 4*t[63] + (15*t[64])/8 + 3*t[65] + 
       (27*t[66])/4 - t[73] + t[75] + t[78] - t[81] + 2*t[82] - t[84]/2 + 
       (3*t[85])/2 + t[86] + t[87]/2 + t[88]/4 + (11*t[89])/8 + 14*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*(-8*t[99] + 14*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*(-20*t[2] + t[3] - 
       18*t[4] + (33*t[5])/2 + 5*t[6] - 10*t[7] + 20*t[8] - (55*t[9])/2 - 
       13*t[10] - 20*t[11] + (11*t[12])/2 - (251*t[13])/18 - 20*t[14] - 
       (187*t[15])/12 + (8*t[19])/3 + 4*t[21] - 4*t[23] + 4*t[35] + 4*t[41] - 
       4*t[42] - 4*t[45] + 12*t[47] + 17*t[48] - 3*t[49] - 13*t[50] + 
       (3*t[51])/2 + 13*t[52] + 3*t[53] + 19*t[54] - 13*t[60] - 21*t[61] - 
       (3*t[62])/2 + (31*t[63])/2 + (259*t[64])/2 + (40*t[65])/3 + 
       (107*t[66])/3 - 4*t[69] + 4*t[75] + 6*t[79] + 8*t[80] - 2*t[81] + 
       6*t[82] - 22*t[83] + t[84] - 4*t[85] - 2*t[86] + 10*t[87] + 5*t[88] + 
       (37*t[89])/2 - 8*t[99] + 14*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((7*t[1])/2 - (77*t[2])/12 + 
       t[3]/4 - (71*t[4])/24 + (7*t[5])/3 + t[6] + (71*t[7])/12 + 
       (93*t[8])/4 - (137*t[9])/12 + (265*t[10])/16 - t[11]/2 - 
       (301*t[12])/48 - (527*t[13])/24 + (7045*t[14])/288 + 
       (1313*t[15])/144 - 2*t[16] + (14*t[25])/3 - (10*t[26])/3 - 
       (7*t[27])/3 - (16*t[28])/3 + (25*t[29])/3 + (11*t[30])/3 - 
       (13*t[31])/3 - (4*t[34])/3 + 5*t[35] - 5*t[36] - 5*t[37] - t[38]/2 + 
       t[39]/3 + (23*t[40])/6 + (2*t[41])/3 - (2*t[42])/3 - (7*t[43])/6 - 
       (43*t[44])/3 + 4*t[45] + (5*t[46])/6 - 8*t[47] + (53*t[48])/3 + 
       (55*t[49])/16 - (13*t[50])/3 - (231*t[51])/32 - (183*t[53])/16 + 
       (9*t[54])/8 + t[58]/3 + (31*t[59])/12 + (55*t[60])/2 + 35*t[61] - 
       (2257*t[62])/48 + (3653*t[63])/48 + (163*t[64])/8 + (343*t[65])/24 + 
       (1535*t[66])/36 + t[68]/2 + 2*t[69] - (11*t[72])/3 - 2*t[73] - t[74] + 
       47*t[75] - (49*t[76])/3 - (23*t[77])/6 + (91*t[78])/3 - t[79]/2 - 
       7*t[80] + (19*t[81])/6 + (5*t[82])/2 - (13*t[83])/6 + (35*t[84])/4 - 
       (109*t[85])/6 + (53*t[86])/6 - (79*t[87])/6 - (31*t[88])/12 - 
       (75*t[89])/8 - 6*t[95] - t[96]/2 + (2*t[97])/3 - 64*t[98] + 64*t[99] + 
       14*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((49*t[1])/8 - (653*t[2])/144 - (1303*t[3])/96 - 
       (487*t[4])/72 + (39323*t[5])/576 + (409*t[6])/36 + (5321*t[7])/288 + 
       (12665*t[8])/288 - (37961*t[9])/576 - (12215*t[10])/288 + 
       (7493*t[11])/144 - (10975*t[12])/576 + (304057*t[13])/5184 - 
       (1189*t[14])/192 + (87325*t[15])/3456 + (3*t[17])/4 - t[21] - 
       t[22]/6 + t[23] - (3*t[24])/2 + t[25]/3 + (23*t[26])/18 + 
       (5*t[27])/18 + (35*t[28])/18 - (5*t[29])/18 + (55*t[30])/36 + 
       (7*t[31])/6 - (23*t[32])/18 + (23*t[33])/18 - (59*t[34])/18 + 
       6*t[35] - t[36] + t[37]/3 - t[38]/3 - (5*t[39])/9 - (5*t[40])/18 - 
       (19*t[41])/36 + (19*t[42])/36 + (571*t[43])/36 - (193*t[44])/18 + 
       (541*t[45])/144 - (53*t[46])/6 + (77*t[47])/24 + (4817*t[48])/288 + 
       (13*t[49])/72 - (55*t[50])/32 + (1235*t[51])/144 + (943*t[52])/288 - 
       (85*t[53])/72 - (1201*t[54])/288 + (11*t[58])/18 - (125*t[59])/72 - 
       (667*t[60])/144 + (13459*t[61])/144 - (2663*t[62])/288 - 
       (9035*t[63])/288 + (4881*t[64])/32 - (779*t[65])/432 - 
       (46585*t[66])/432 + t[69]/3 - (113*t[73])/12 + (31*t[74])/3 + 
       (167*t[75])/12 - (299*t[76])/18 + (5*t[77])/6 + (160*t[78])/9 - 
       22*t[79] + (3811*t[80])/36 - (149*t[81])/24 + (137*t[82])/24 - 
       (25*t[83])/4 - (13*t[84])/24 - (2387*t[85])/144 + (3*t[86])/2 + 
       (5347*t[87])/144 + (5347*t[88])/288 + (1089*t[89])/32 - 
       (17*t[97])/18 - (587*t[98])/6 + (623*t[99])/6 + (169*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w]*
      (-t[1]/2 + (21*t[2])/4 + (41*t[3])/6 - (73*t[4])/3 + (113*t[5])/12 + 
       (115*t[6])/24 - (65*t[7])/6 + (53*t[8])/3 + (13*t[9])/3 - 
       (15*t[10])/2 - (757*t[11])/24 + (49*t[12])/12 - (176*t[13])/9 - 
       (17*t[14])/72 - 3*t[15] + t[24]/3 - (2*t[27])/3 + (16*t[28])/3 + 
       t[29] - (17*t[30])/3 - (2*t[31])/3 + 4*t[35] - t[37] + (8*t[39])/3 - 
       t[41]/2 + t[42]/2 - t[43]/3 - (11*t[44])/3 - t[45] + 2*t[47] + 
       (155*t[48])/24 - (5*t[49])/3 - (125*t[50])/24 + t[51]/6 + 
       (125*t[52])/24 + (5*t[53])/3 + (269*t[54])/24 - t[59]/2 + 
       (13*t[60])/12 - (293*t[61])/12 + (65*t[63])/2 - (75*t[64])/8 + 
       (439*t[65])/12 + (397*t[66])/12 - (8*t[72])/3 - (4*t[73])/3 + 
       (31*t[75])/3 + t[76] + 4*t[78] - t[79] + 3*t[80] - t[81]/6 + 
       (5*t[82])/6 - (25*t[83])/3 + (11*t[84])/3 + (17*t[85])/12 + 
       (10*t[86])/3 - (19*t[87])/4 - (19*t[88])/8 + (161*t[89])/24 + 
       (14*t[98])/3 - 6*t[99] + (44*t[100])/3) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((33*t[2])/8 - (3*t[3])/4 + 
       (13*t[4])/8 - (29*t[5])/4 - (11*t[6])/8 + (137*t[7])/16 + 
       (103*t[8])/16 + (171*t[9])/16 - 5*t[10] + (175*t[11])/16 + 
       (5*t[12])/16 + (2047*t[13])/288 + (135*t[14])/32 - (25*t[15])/96 - 
       t[19] + t[21] - t[23] + (3*t[31])/2 - t[37]/2 - t[41]/4 + t[42]/4 - 
       (3*t[43])/16 - t[45]/8 + (9*t[47])/4 - (33*t[48])/16 + (19*t[49])/16 - 
       t[50]/16 - (7*t[51])/32 + t[52]/16 - (19*t[53])/16 - (41*t[54])/16 - 
       t[59] + (13*t[60])/4 + (29*t[61])/2 - 23*t[62] - (21*t[63])/2 - 
       (47*t[64])/4 + (29*t[65])/4 - (337*t[66])/12 - 2*t[69] - t[75] - 
       4*t[79] + 5*t[80] + t[81]/2 - (5*t[82])/2 + 6*t[83] - t[84]/2 + 
       (17*t[85])/4 + (41*t[86])/2 - (5*t[87])/4 - (5*t[88])/8 + 
       (9*t[89])/8 + 18*t[98] - 19*t[99] + (181*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((5*t[3])/4 + t[4]/2 - (3*t[5])/8 - t[6]/4 + t[7]/4 - (9*t[8])/4 + 
       (3*t[9])/8 - (5*t[10])/4 + t[11]/4 + (7*t[12])/8 - t[13]/8 - 
       (23*t[14])/8 - (41*t[15])/48 + t[29] + 4*t[60] - (3*t[61])/2 - t[62] + 
       t[64] - (13*t[65])/6 - t[66]/2 + t[82]/2 - 2*t[83] - 2*t[87] - t[88] + 
       (46*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - v]*((-163*t[2])/48 + (365*t[3])/72 - 
       (3295*t[4])/144 + (793*t[5])/144 + (8*t[6])/3 + (383*t[7])/72 - 
       (653*t[8])/72 + 2*t[9] - (299*t[10])/96 - (2063*t[11])/144 + 
       (1343*t[12])/288 - (2755*t[13])/216 - (29*t[14])/192 - (5*t[15])/288 + 
       (4*t[19])/3 - (4*t[21])/3 + (4*t[23])/3 - (4*t[24])/3 - (7*t[27])/9 + 
       (5*t[28])/9 + (7*t[29])/9 - (7*t[30])/9 + (10*t[31])/3 + 
       (67*t[35])/6 - (11*t[37])/6 + (17*t[39])/18 - t[40]/6 - t[41]/6 + 
       t[42]/6 + (5*t[43])/6 + (43*t[44])/18 + (5*t[45])/3 + (53*t[46])/24 - 
       (7*t[47])/3 + (95*t[48])/72 - (61*t[49])/96 - (13*t[50])/72 - 
       (115*t[51])/576 + (13*t[52])/72 + (61*t[53])/96 + (69*t[54])/16 - 
       (5*t[59])/12 + (283*t[60])/72 - (44*t[61])/3 + (853*t[62])/96 + 
       (3569*t[63])/288 - (3815*t[64])/144 + (9929*t[65])/432 + 
       (11989*t[66])/432 + (4*t[69])/3 - (7*t[72])/9 - (19*t[73])/12 + 
       2*t[74] + (25*t[75])/3 + (31*t[78])/6 + (17*t[79])/6 - t[80]/3 + 
       (8*t[81])/9 + (67*t[82])/18 - (215*t[83])/18 + (31*t[84])/9 - 
       (11*t[85])/36 + 3*t[86] - (415*t[87])/36 - (415*t[88])/72 - 
       (245*t[89])/144 + (31*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-5*t[1])/6 - t[2]/3 + (33*t[3])/8 + 
       (529*t[4])/12 - (575*t[5])/48 + (131*t[6])/24 + (109*t[7])/24 - 
       (53*t[8])/24 + (145*t[9])/16 + (229*t[10])/24 + (439*t[11])/24 - 
       (517*t[12])/48 + (10451*t[13])/432 - (229*t[14])/72 - (553*t[15])/32 + 
       t[16]/3 + 3*t[25] + (2*t[26])/3 - (4*t[27])/3 - (4*t[28])/3 + 
       (4*t[29])/3 - (4*t[30])/3 + 4*t[31] + (4*t[32])/3 - (4*t[33])/3 - 
       (2*t[34])/3 + 8*t[35] - (8*t[36])/3 - (19*t[37])/3 - (5*t[38])/3 + 
       (2*t[39])/3 - (8*t[40])/3 + t[41]/3 - t[42]/3 - (37*t[43])/12 + 
       (2*t[44])/3 - (11*t[45])/6 + (2*t[46])/3 + 5*t[47] + (13*t[48])/12 + 
       (8*t[49])/3 + (17*t[50])/4 - (457*t[51])/48 - (19*t[52])/12 - 
       (21*t[53])/2 - (76*t[54])/3 + (2*t[58])/3 - (7*t[59])/6 + 
       (317*t[60])/6 - (61*t[61])/4 - (581*t[62])/24 - (1561*t[63])/24 + 
       (887*t[64])/24 - (709*t[65])/36 - (853*t[66])/36 - t[67]/3 + 2*t[69] + 
       2*t[70] - 2*t[71] + (2*t[74])/3 + 2*t[75] - (10*t[76])/3 - 
       (2*t[77])/3 - t[80]/3 - t[81]/2 + 2*t[82] + 6*t[83] + (62*t[84])/3 + 
       (233*t[85])/12 + 17*t[86] - (97*t[87])/12 + (119*t[88])/24 + 
       (117*t[89])/4 - (20*t[95])/3 + (4*t[96])/3 - t[97]/3 - 36*t[98] + 
       16*t[99] + 16*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((67*t[1])/8 + (223*t[2])/16 - (4*t[3])/3 - 
       (503*t[4])/24 - (1685*t[5])/144 - (587*t[6])/144 + (275*t[7])/8 + 
       (2147*t[8])/72 + (3001*t[9])/144 - (127*t[10])/6 + (715*t[11])/72 + 
       (95*t[12])/72 + (8441*t[13])/864 - (1589*t[14])/864 - 
       (2107*t[15])/864 - t[16] - t[17]/4 + 3*t[18] + (5*t[19])/2 + t[20]/2 + 
       (11*t[21])/2 - (11*t[23])/2 + (23*t[24])/9 - (15*t[25])/2 + 3*t[26] + 
       (7*t[27])/2 - t[28] - t[29]/2 + t[30]/2 - (22*t[31])/9 + t[32] - 
       t[33]/2 + (7*t[34])/4 - 8*t[35] - (3*t[36])/2 - (9*t[37])/2 + 
       (29*t[38])/4 - t[39]/2 + t[40]/2 + (9*t[41])/8 + (3*t[42])/8 - 
       (509*t[43])/144 + (13*t[44])/4 + t[45]/8 + (7*t[46])/4 + 
       (71*t[47])/12 - (307*t[48])/72 - (131*t[49])/36 + (643*t[50])/72 + 
       (1073*t[51])/288 - (913*t[52])/72 + (44*t[53])/9 + (8*t[54])/3 + 
       t[58]/2 - (9*t[59])/2 - (163*t[60])/12 + (179*t[61])/72 - 
       (665*t[62])/72 - (737*t[63])/12 - (863*t[64])/16 + (9251*t[65])/216 - 
       (3329*t[66])/216 + t[67]/4 + t[68] - 3*t[69] - 3*t[70] + 3*t[71] - 
       3*t[72] + 2*t[73] + 4*t[74] - (19*t[75])/2 + (11*t[76])/2 + t[77] - 
       (5*t[78])/2 + (5*t[79])/8 + (43*t[80])/2 + t[81] + (13*t[82])/4 + 
       (287*t[83])/18 + (133*t[84])/72 + (443*t[85])/72 + (1975*t[86])/72 + 
       (799*t[87])/72 + (943*t[88])/144 + (115*t[89])/24 + t[92]/4 - t[93] - 
       t[94]/4 + t[95] - (3*t[97])/4 + 18*t[98] - 19*t[99] + (49*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w]*
      (t[1]/2 - (13*t[3])/4 - (67*t[4])/4 + (89*t[5])/8 - (195*t[6])/8 + 
       (145*t[7])/4 - (9*t[8])/2 + (89*t[9])/8 + (183*t[10])/8 - 
       (15*t[11])/8 - (3*t[12])/4 - (145*t[13])/72 - (199*t[14])/48 + 
       (119*t[15])/48 - t[17]/2 + 2*t[20] - t[21] + t[23] - 5*t[24] + 
       2*t[27] - 4*t[31] + 2*t[32] - t[35] - t[37] - 2*t[40] - t[41] + 
       t[42] - t[43]/2 + 2*t[45] - 4*t[46] - (39*t[48])/8 - (7*t[49])/8 + 
       (141*t[50])/8 + (39*t[51])/16 - (125*t[52])/8 + (7*t[53])/8 - 
       (63*t[54])/8 + t[59]/2 - t[60]/2 - (23*t[61])/2 - (47*t[62])/2 - 
       (149*t[63])/4 - (35*t[64])/2 + 13*t[65] + (109*t[66])/12 + t[69] + 
       t[77] + 5*t[79] + 3*t[80] - 5*t[81] + 5*t[82] + (25*t[83])/2 - 
       (3*t[84])/4 - (19*t[85])/4 + 41*t[86] + t[87]/4 + t[88]/8 - 6*t[89] + 
       (33*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-25*t[1])/36 + (93*t[2])/16 - (53*t[3])/12 - 
       (1079*t[4])/144 - (13*t[5])/3 + (457*t[6])/36 - (497*t[7])/36 + 
       (2441*t[8])/72 - (487*t[9])/48 + (2563*t[10])/288 - (437*t[11])/16 + 
       (19*t[12])/96 - (1927*t[13])/162 - (1369*t[14])/1728 + 
       (1891*t[15])/432 - 2*t[20] + (5*t[27])/9 - (83*t[28])/18 + 
       (85*t[29])/18 + (19*t[30])/18 - (7*t[31])/6 + (2*t[32])/9 + t[33]/18 + 
       (23*t[34])/9 - (20*t[35])/3 - t[36] + (5*t[37])/6 - (5*t[38])/9 - 
       (25*t[39])/18 + (5*t[40])/36 - (5*t[41])/18 + (5*t[42])/18 - 
       (3*t[43])/4 - (27*t[44])/4 - (35*t[45])/36 + (17*t[46])/24 + 
       (5*t[47])/36 + (145*t[48])/72 - (205*t[49])/96 - (215*t[50])/72 + 
       (229*t[51])/576 + (35*t[52])/8 + (295*t[53])/288 + (2545*t[54])/144 - 
       (71*t[59])/72 - (125*t[60])/6 - (341*t[61])/24 + (8279*t[62])/288 + 
       (395*t[63])/96 + (35*t[64])/6 + (4511*t[65])/432 + (19499*t[66])/432 - 
       t[68]/2 - 2*t[69] + (19*t[72])/18 + (11*t[73])/12 + t[74] - 
       (9*t[75])/2 - (5*t[76])/4 - (5*t[77])/9 - (17*t[78])/18 + 3*t[79] - 
       (59*t[80])/18 - (17*t[81])/6 + (11*t[82])/3 - (5*t[83])/18 + 
       (13*t[84])/18 + (7*t[85])/24 - (71*t[86])/6 + (899*t[87])/72 + 
       (289*t[88])/48 + (89*t[89])/72 - (5*t[96])/3 - (35*t[97])/36 - 
       (20*t[98])/3 + (19*t[99])/3 + (101*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-955*t[1])/36 - (103*t[2])/4 - (509*t[3])/8 + (446*t[4])/3 - 
       (2663*t[5])/16 - (773*t[6])/12 - (115*t[7])/4 + (357*t[8])/4 + 
       (6751*t[9])/48 + (1099*t[10])/8 + (653*t[11])/6 + (6623*t[12])/48 + 
       (15127*t[13])/144 + (5863*t[14])/72 - (15853*t[15])/288 - 2*t[16] + 
       t[18]/3 - 4*t[19] + 14*t[21] + (41*t[22])/3 - (37*t[23])/3 + 
       42*t[25] - (7*t[26])/6 + 22*t[27] + 8*t[28] + 7*t[31] - (5*t[32])/3 - 
       (5*t[33])/3 + t[34]/2 - 8*t[35] - 4*t[36] + 20*t[37] - 12*t[38] + 
       (35*t[39])/3 - (19*t[40])/3 + (33*t[41])/4 - (97*t[42])/12 - 
       (163*t[43])/8 - 2*t[44] - (103*t[45])/4 + (7*t[46])/2 + 
       (359*t[47])/6 - (521*t[48])/24 + (509*t[49])/24 - (355*t[50])/8 - 
       (729*t[51])/16 + (1165*t[52])/24 - (509*t[53])/24 + (5*t[54])/8 + 
       (5*t[58])/6 - (647*t[59])/36 - 100*t[60] - (707*t[61])/12 + 
       (1141*t[62])/24 - (3963*t[63])/8 - (2273*t[64])/24 + (167*t[65])/36 - 
       (3179*t[66])/12 + t[68] - 2*t[69] - 5*t[70] + 5*t[71] - 17*t[72] + 
       104*t[73] - 6*t[74] - 125*t[75] + (13*t[76])/6 - (4*t[77])/3 - 
       (260*t[78])/3 + 15*t[79] - (64*t[80])/3 - 9*t[81] - (17*t[82])/6 + 
       (451*t[83])/6 - (377*t[84])/6 + (149*t[85])/12 - (333*t[86])/2 + 
       (1145*t[87])/12 + (1145*t[88])/24 + (431*t[89])/12 - t[91]/3 - 
       2*t[93] - (53*t[97])/6 + 16*t[98] - 46*t[99] + 17*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((57*t[1])/4 + (229*t[2])/12 - (27*t[3])/2 + (445*t[4])/8 - 
       (289*t[5])/3 + (111*t[6])/4 - (9*t[7])/2 - (32*t[8])/3 + 
       (527*t[9])/6 + (5231*t[10])/48 - (433*t[11])/12 + (523*t[12])/48 + 
       (2843*t[13])/72 + (22711*t[14])/288 - (3229*t[15])/144 + 2*t[16] - 
       (4*t[19])/3 - 4*t[25] + (125*t[26])/6 + 17*t[27] + 16*t[28] + 
       20*t[31] + 2*t[32] - 2*t[33] - (17*t[34])/6 + 30*t[35] + 22*t[36] + 
       14*t[37] + 14*t[38] + 14*t[39] - (17*t[40])/3 + (17*t[41])/12 - 
       (17*t[42])/12 - (7*t[43])/2 + 8*t[44] - (9*t[45])/2 - (44*t[46])/3 + 
       11*t[47] - (37*t[48])/3 - (911*t[49])/48 - (17*t[50])/3 + 
       (391*t[51])/32 + (119*t[52])/6 + (119*t[53])/48 + (335*t[54])/8 + 
       (17*t[58])/6 - (347*t[59])/36 + (1363*t[60])/24 + (919*t[61])/24 + 
       (85*t[62])/16 - (1733*t[63])/16 - (4925*t[64])/48 + (865*t[65])/72 - 
       (3227*t[66])/24 + 12*t[69] - 5*t[70] + 5*t[71] + 6*t[72] + 60*t[73] - 
       4*t[74] - 17*t[75] - (89*t[76])/6 - (15*t[77])/2 + 44*t[78] - 
       (159*t[79])/2 - 29*t[80] - (31*t[81])/3 - (82*t[82])/3 - 
       (147*t[83])/2 + (113*t[84])/24 + (439*t[85])/24 - 63*t[86] - 
       (5*t[87])/24 - (53*t[88])/48 + (1877*t[89])/48 - t[91]/3 + 4*t[93] - 
       (41*t[97])/6 + 16*t[98] - 46*t[99] + 17*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((13*t[1])/2 - (7*t[2])/12 - (19*t[3])/12 - (463*t[4])/12 + 
       (209*t[5])/8 - (715*t[6])/24 + (347*t[7])/8 - (343*t[8])/24 + 
       (131*t[9])/12 + (53*t[10])/12 + (85*t[11])/12 - 25*t[12] - 
       (5*t[13])/144 + (1031*t[14])/48 + (175*t[15])/18 + t[17]/6 - 
       (2*t[18])/3 - (2*t[23])/3 + (7*t[24])/3 - (2*t[27])/3 + (4*t[28])/3 + 
       (2*t[29])/3 - (8*t[30])/3 - t[31] - 12*t[35] + 6*t[37] + (2*t[39])/3 - 
       t[41]/3 + t[42]/3 + (13*t[43])/24 + (31*t[44])/3 + (101*t[45])/12 - 
       3*t[46] - (37*t[47])/6 + (53*t[48])/6 + (77*t[49])/8 + (5*t[50])/2 - 
       (215*t[51])/48 - (5*t[52])/2 - (77*t[53])/8 - (97*t[54])/12 + 
       (10*t[59])/3 + (319*t[60])/12 + (91*t[61])/4 - 27*t[62] + 
       (907*t[63])/12 - (829*t[64])/24 - (193*t[65])/9 - (473*t[66])/6 - 
       (3*t[67])/2 + 2*t[69] - 2*t[70] + 2*t[71] - (2*t[72])/3 + 2*t[73] - 
       (44*t[74])/3 + 4*t[76] - t[78] + (3*t[79])/2 - 59*t[80] + 
       (13*t[81])/3 - (5*t[82])/3 - 13*t[83] + (19*t[84])/6 + (53*t[85])/3 - 
       (35*t[86])/3 - (95*t[87])/3 - (95*t[88])/6 - (5*t[89])/8 - t[94]/6 + 
       24*t[98] - 26*t[99] + 17*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Omega2[u, v, w]*((-2*t[1])/3 - (103*t[2])/12 - (17*t[3])/8 - 
       (253*t[4])/12 + (781*t[5])/48 - (53*t[6])/6 + (43*t[7])/24 - 
       (395*t[8])/24 - (1177*t[9])/48 + (295*t[10])/12 - (59*t[11])/12 + 
       t[12]/48 - (2653*t[13])/432 - (13*t[14])/12 + (3479*t[15])/288 + 
       t[19] - t[21] + t[23] - t[26]/3 + (2*t[27])/3 - (7*t[28])/3 - 
       (2*t[29])/3 + (5*t[30])/3 + 2*t[31] - (2*t[32])/3 + (2*t[33])/3 + 
       t[34]/3 + t[37] - (7*t[39])/3 + (4*t[40])/3 - t[41]/6 + t[42]/6 + 
       (35*t[43])/12 + (14*t[44])/3 + (14*t[45])/3 + 3*t[46] - 11*t[47] - 
       (101*t[48])/24 - (13*t[49])/24 + (9*t[50])/8 + (25*t[51])/48 - 
       (67*t[52])/24 + (13*t[53])/24 + (31*t[54])/24 - t[58]/3 - 
       (35*t[60])/12 + (47*t[61])/12 + (91*t[62])/12 + (31*t[63])/12 + 
       (91*t[64])/8 - (101*t[65])/18 + (124*t[66])/9 + t[69] + t[72] + 
       t[75] + (7*t[76])/3 - (4*t[78])/3 + 4*t[79] - (4*t[80])/3 + 
       (3*t[81])/2 + 2*t[82] - (3*t[83])/2 - (3*t[84])/2 + (5*t[85])/12 - 
       11*t[86] - (37*t[87])/12 - (37*t[88])/24 - (57*t[89])/8 + t[97]/3 + 
       16*t[98] - 24*t[99] + 17*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      Omega2[v, w, u]*(-t[1]/2 - (5*t[2])/6 + (8*t[3])/3 - (125*t[4])/24 + 
       (65*t[5])/24 - (79*t[6])/8 - (15*t[7])/4 - (203*t[8])/12 - 
       (77*t[9])/24 + (161*t[10])/16 - (251*t[11])/24 + (31*t[12])/16 - 
       (31*t[13])/12 - (4015*t[14])/288 + (41*t[15])/18 + t[25]/3 - 
       (2*t[26])/3 + (5*t[27])/3 + (2*t[28])/3 - (2*t[29])/3 + (2*t[30])/3 + 
       (4*t[31])/3 + t[34]/3 - 2*t[35] - 3*t[36] + (4*t[39])/3 - 
       (4*t[40])/3 - t[41]/6 + t[42]/6 - t[43]/3 + (2*t[44])/3 + 2*t[45] + 
       (19*t[46])/6 - 4*t[47] - (41*t[48])/8 - (73*t[49])/16 + (19*t[50])/8 + 
       (287*t[51])/96 - (97*t[52])/24 + (81*t[53])/16 + t[54] - t[58]/3 + 
       t[59]/6 - (181*t[60])/24 - (119*t[61])/8 + (157*t[62])/48 - 
       (111*t[63])/16 + (191*t[64])/48 + (83*t[65])/72 + (113*t[66])/24 + 
       2*t[74] - 2*t[75] + (13*t[76])/3 + (7*t[77])/3 - (22*t[78])/3 + 
       2*t[79] - 2*t[80] + (8*t[81])/3 - (2*t[82])/3 + (13*t[83])/2 - 
       (65*t[84])/24 - t[85]/24 - (22*t[86])/3 - (31*t[87])/8 - 
       (31*t[88])/16 - (139*t[89])/48 + t[97]/3 + 16*t[98] - 24*t[99] + 
       17*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      (-6*t[99] + 17*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      Omega2[u, v, w]*(t[1]/2 - (25*t[2])/4 + (5*t[3])/4 - (49*t[4])/2 + 
       12*t[5] - (21*t[6])/8 - t[7]/2 + 5*t[8] - (49*t[9])/4 + (15*t[10])/4 - 
       (87*t[11])/8 + (7*t[12])/4 - (1015*t[13])/72 - (107*t[14])/12 + 
       (3*t[15])/2 - t[19] - t[21] + t[23] - t[28] + t[30] + t[37] - t[39] + 
       2*t[43] + 2*t[45] + t[46] - 3*t[47] + (21*t[48])/8 - (17*t[49])/4 - 
       (23*t[50])/8 + t[51]/8 + (23*t[52])/8 + (17*t[53])/4 + (51*t[54])/8 + 
       (5*t[60])/4 - (41*t[61])/4 + (19*t[62])/2 + (3*t[63])/2 + 
       (179*t[64])/8 + (205*t[65])/12 + (277*t[66])/12 + t[69] - t[72] + 
       2*t[74] + 3*t[75] + 2*t[78] + 2*t[79] + t[80] + (3*t[81])/2 + 
       (3*t[82])/2 - (13*t[83])/2 + (3*t[84])/2 + t[85]/4 + 2*t[86] - 
       (21*t[87])/4 - (21*t[88])/8 + (9*t[89])/8 - 6*t[99] + 17*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((35*t[1])/24 + (155*t[2])/144 + (14*t[3])/3 - (299*t[4])/72 + 
       (367*t[5])/144 - (619*t[6])/96 - (139*t[7])/36 - (1339*t[8])/72 - 
       (589*t[9])/72 - (1927*t[10])/144 + (133*t[11])/96 - (581*t[12])/72 + 
       (7435*t[13])/1296 - (1177*t[14])/54 + (59*t[15])/12 - (85*t[26])/36 - 
       (7*t[28])/6 + (17*t[30])/12 + (5*t[31])/3 + (25*t[34])/36 - 
       (2*t[35])/3 - t[37] + (35*t[38])/18 - (11*t[39])/18 + (5*t[40])/18 - 
       (25*t[41])/72 + (25*t[42])/72 + (5*t[44])/6 + (3*t[45])/2 + 
       (55*t[46])/36 - 3*t[47] - (1585*t[48])/288 - (611*t[49])/144 + 
       (701*t[50])/96 + (205*t[51])/96 - (2143*t[52])/288 + (137*t[53])/48 - 
       (2371*t[54])/288 - (5*t[58])/36 - (131*t[59])/72 - (1829*t[60])/144 - 
       (893*t[61])/48 + (4531*t[62])/144 - (817*t[63])/144 + 
       (2245*t[64])/288 + (1495*t[65])/144 + (18367*t[66])/432 - t[68]/2 - 
       2*t[69] + (4*t[72])/3 - (3*t[73])/2 + t[74] - (25*t[75])/12 - 
       (5*t[76])/4 - (5*t[77])/9 - t[78]/9 + 3*t[79] - (59*t[80])/18 - 
       (229*t[81])/72 + (329*t[82])/72 + (17*t[83])/12 + (155*t[84])/72 + 
       (629*t[85])/144 - (61*t[86])/6 + (1187*t[87])/144 + (1123*t[88])/288 + 
       (187*t[89])/32 - (5*t[96])/3 - (35*t[97])/36 - (2*t[98])/3 + t[99]/3 + 
       (103*t[100])/6) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]^2*((-19*t[1])/8 + (35*t[2])/8 + (85*t[3])/12 - 
       (341*t[4])/24 - (589*t[5])/96 - (41*t[6])/3 + (163*t[7])/48 - 
       (185*t[8])/6 + (349*t[9])/96 + (47*t[10])/48 - (63*t[11])/2 + 
       (251*t[12])/96 - (383*t[13])/32 - (883*t[14])/48 - (1447*t[15])/192 + 
       (3*t[17])/8 + t[21]/4 - t[23]/4 - (11*t[24])/6 - t[25]/2 - t[28] - 
       (5*t[30])/4 + (17*t[31])/12 - (7*t[32])/4 + (7*t[33])/4 + t[34] + 
       (15*t[35])/4 + (9*t[37])/4 - t[38]/4 - (11*t[39])/4 + t[40] - 
       t[41]/4 + t[42]/4 - (5*t[43])/6 + (7*t[44])/2 - (7*t[46])/4 + 
       t[47]/4 - (401*t[48])/48 - (139*t[49])/48 + (83*t[50])/16 + 
       (205*t[51])/96 - (59*t[52])/16 - (5*t[53])/48 + t[54]/48 - 
       (3*t[59])/4 - (75*t[60])/16 - (1757*t[61])/48 + (623*t[62])/96 + 
       (1583*t[63])/96 + (787*t[64])/96 + (259*t[65])/16 + (439*t[66])/48 - 
       t[69]/4 - t[72]/2 - (5*t[74])/2 + t[75] - 3*t[76] - t[77] - 
       (5*t[78])/4 + (13*t[79])/2 - (35*t[80])/4 + t[81]/2 - t[82]/2 + 
       (103*t[83])/24 + (27*t[84])/8 + (27*t[85])/4 + (223*t[86])/12 - 
       (31*t[87])/6 - (31*t[88])/12 + (49*t[89])/96 - (9*t[96])/4 - 
       (3*t[97])/2 - 18*t[98] + 18*t[99] + (139*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((5*t[3])/2 + t[4] - (3*t[5])/4 - t[6]/2 + t[7]/2 - (9*t[8])/2 + 
       (3*t[9])/4 - (5*t[10])/2 + t[11]/2 + (7*t[12])/4 - t[13]/4 - 
       (23*t[14])/4 - (41*t[15])/24 + 2*t[29] + 8*t[60] - 3*t[61] - 2*t[62] + 
       2*t[64] - (13*t[65])/3 - t[66] + t[82] - 4*t[83] - 4*t[87] - 2*t[88] + 
       (107*t[100])/6) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
      ((581*t[1])/144 + (697*t[2])/144 - (67*t[3])/8 + (37*t[4])/36 + 
       (18475*t[5])/288 + (16171*t[6])/576 - (773*t[7])/36 + (4553*t[8])/72 - 
       (7475*t[9])/144 - (3197*t[10])/288 - (6811*t[11])/576 - 
       (413*t[12])/18 + (81257*t[13])/2592 + (125*t[14])/576 + 
       (3061*t[15])/216 + (9*t[16])/4 + (3*t[17])/4 + (3*t[18])/2 + 
       (3*t[19])/2 + 8*t[20] + 7*t[21] - 5*t[22] - 7*t[23] + 6*t[24] - 
       6*t[25] + (49*t[26])/36 - (85*t[27])/18 + (143*t[28])/18 + 
       (7*t[29])/72 + (58*t[30])/9 + (5*t[31])/3 + (49*t[32])/18 + 
       (43*t[33])/9 - (665*t[34])/72 - (53*t[35])/6 + (27*t[36])/2 + 
       (8*t[37])/3 + (33*t[38])/8 - (85*t[39])/72 + (14*t[40])/9 + 
       (737*t[41])/144 - (629*t[42])/144 + (505*t[43])/144 + (227*t[44])/72 - 
       (635*t[45])/144 - (73*t[46])/12 + (77*t[47])/12 + (16021*t[48])/576 - 
       (2915*t[49])/288 - (263*t[50])/64 + (3871*t[51])/288 + 
       (2327*t[52])/576 + (2987*t[53])/288 + (4555*t[54])/576 - (3*t[55])/8 + 
       (13*t[58])/36 + (103*t[59])/48 + (20707*t[60])/288 + 
       (18113*t[61])/288 - (28549*t[62])/576 - (81619*t[63])/576 - 
       (4613*t[64])/192 + (44555*t[65])/864 - (33239*t[66])/864 - 
       (3*t[67])/2 - (7*t[68])/2 + (23*t[69])/3 - (3*t[70])/2 + (3*t[71])/2 + 
       (17*t[72])/2 + (19*t[73])/6 - 15*t[74] + (23*t[75])/6 - 
       (577*t[76])/36 + (35*t[77])/4 + (1373*t[78])/72 - (21*t[79])/2 + 
       (1765*t[80])/36 - (53*t[81])/8 - (95*t[82])/24 - 23*t[83] + 
       (2161*t[84])/96 - (7717*t[85])/288 + t[86]/8 + (1721*t[87])/288 + 
       (4025*t[88])/576 + (7979*t[89])/192 + t[91]/24 - (5*t[92])/4 + 
       (3*t[93])/2 + (3*t[94])/2 - (3*t[96])/4 + t[97]/72 - (166*t[98])/3 + 
       (172*t[99])/3 + (107*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*((9*t[2])/2 - (19*t[3])/4 - 
       t[4]/2 + (39*t[5])/4 + (57*t[6])/8 - (17*t[7])/2 - 10*t[8] - 
       (43*t[9])/2 + 29*t[10] + (57*t[11])/8 - (111*t[12])/4 - 
       (727*t[13])/24 + (589*t[14])/24 + (355*t[15])/24 + 2*t[27] - 4*t[28] - 
       2*t[29] + 8*t[30] - 9*t[31] - 24*t[35] - 5*t[36] + 6*t[37] - 2*t[39] + 
       2*t[43] + 2*t[44] + 5*t[46] - (19*t[48])/8 - (7*t[49])/2 + 
       (65*t[50])/8 - (7*t[51])/4 - (65*t[52])/8 + (7*t[53])/2 + 
       (35*t[54])/8 + 3*t[59] - (19*t[60])/2 + (131*t[61])/4 + (11*t[62])/4 + 
       (199*t[63])/4 - (169*t[64])/8 + (17*t[65])/3 + (295*t[66])/12 + 
       2*t[72] - 18*t[73] + 3*t[74] - 6*t[75] - 6*t[78] - (17*t[79])/2 + 
       4*t[81] - 6*t[82] + (31*t[83])/2 - (23*t[84])/4 - (47*t[85])/4 - 
       (81*t[86])/2 + (65*t[87])/4 + (65*t[88])/8 - (87*t[89])/8 - 6*t[99] + 
       18*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*((13*t[1])/24 + (43*t[2])/12 - t[3]/24 + 
       (145*t[4])/32 - (55*t[5])/16 + (193*t[6])/96 - (157*t[7])/12 + 
       (55*t[8])/24 + (97*t[9])/24 - (1373*t[10])/192 - (431*t[11])/32 - 
       (287*t[12])/64 - (52*t[13])/9 + (4495*t[14])/384 - (875*t[15])/192 + 
       t[17]/4 - t[24]/3 + t[25]/6 - t[26]/3 - t[27]/2 + 2*t[28] + 
       (3*t[29])/2 - (5*t[30])/2 - t[31]/12 - t[34]/12 + (5*t[35])/2 + 
       t[36]/2 - (3*t[37])/4 + t[38]/4 + t[39] + t[40]/3 - (5*t[41])/24 + 
       (5*t[42])/24 - (19*t[43])/24 - (5*t[44])/2 - (5*t[45])/2 - 
       (19*t[46])/6 + 3*t[47] + (263*t[48])/32 + (1217*t[49])/192 - 
       (431*t[50])/96 - (123*t[51])/128 + (157*t[52])/32 - (1193*t[53])/192 + 
       (11*t[54])/4 + t[58]/12 - t[59]/2 + (395*t[60])/24 - (593*t[61])/48 - 
       (947*t[62])/192 + (8707*t[63])/192 - (205*t[64])/96 + 
       (4847*t[65])/288 + (419*t[66])/48 - t[69]/2 - (4*t[72])/3 - 3*t[73] - 
       2*t[74] + (45*t[75])/4 - (37*t[76])/12 - (7*t[77])/12 + (47*t[78])/6 - 
       (73*t[79])/24 + t[80]/4 + (41*t[81])/12 + (11*t[82])/12 - 
       (5*t[83])/3 + (563*t[84])/48 + (187*t[85])/48 - (23*t[86])/24 - 
       (277*t[87])/48 - (85*t[88])/96 + (865*t[89])/96 - t[97]/12 - 
       26*t[98] + 22*t[99] + (37*t[100])/2) + HPL[{0, 1}, 1 - w]*M1[v, w, u]*
      ((-7*t[1])/4 + (19*t[2])/6 + (17*t[3])/12 - (481*t[4])/48 - 
       (11*t[5])/3 + (31*t[6])/8 + (5*t[7])/4 + (19*t[8])/12 - t[9]/12 - 
       (519*t[10])/32 - (175*t[11])/12 - (51*t[12])/32 - (647*t[13])/144 - 
       (5063*t[14])/576 + (73*t[15])/96 + t[25]/3 + t[26]/3 - t[27]/3 + 
       (2*t[28])/3 + t[29]/3 - (4*t[30])/3 + (7*t[31])/3 + (5*t[34])/6 + 
       4*t[35] + t[36] + t[37] - t[38] - t[39]/6 - t[40]/3 - (5*t[41])/12 + 
       (5*t[42])/12 + t[43]/6 + (2*t[44])/3 - t[46]/12 + (5*t[48])/8 - 
       (133*t[49])/32 + (29*t[50])/8 + (151*t[51])/192 - (43*t[52])/24 + 
       (69*t[53])/32 + (45*t[54])/16 + t[58]/6 - (4*t[59])/3 - 
       (611*t[60])/48 - (217*t[61])/16 + (2393*t[62])/96 + (589*t[63])/32 - 
       (407*t[64])/96 + (2971*t[65])/144 + (421*t[66])/16 + t[74] + 2*t[75] - 
       (37*t[76])/6 - (7*t[77])/6 + (29*t[78])/3 - 4*t[79] - 3*t[80] - 
       (5*t[81])/6 + (7*t[82])/3 + (251*t[84])/48 + (223*t[85])/48 - 
       (10*t[86])/3 + (141*t[87])/16 + (141*t[88])/32 + (151*t[89])/96 - 
       3*t[96] - (13*t[97])/6 - 38*t[98] + 38*t[99] + (37*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((2*t[1])/3 + (17*t[2])/6 + (277*t[3])/48 + (75*t[4])/8 + 
       (475*t[5])/32 + (521*t[6])/96 - (1153*t[7])/48 + (133*t[8])/16 - 
       (1591*t[9])/96 - (1523*t[10])/96 - (395*t[11])/16 - (173*t[12])/16 - 
       (12023*t[13])/1728 - (949*t[14])/64 - (1561*t[15])/576 - t[19]/2 + 
       t[21]/2 - (3*t[22])/4 - t[23]/2 + t[26]/12 - t[27]/2 + (5*t[28])/2 + 
       t[29]/2 - 4*t[30] - (9*t[31])/2 - (5*t[32])/6 - t[33]/6 - t[34]/12 + 
       t[37] + (5*t[39])/3 - t[40]/3 - (7*t[41])/12 + (7*t[42])/12 + 
       (5*t[43])/6 - 5*t[44] - (67*t[45])/24 - (9*t[46])/4 + (7*t[47])/4 + 
       (431*t[48])/48 + (325*t[49])/96 - (11*t[50])/48 - (29*t[51])/192 + 
       (31*t[52])/48 - (325*t[53])/96 - (25*t[54])/24 + t[58]/12 + 
       (9*t[59])/4 - (803*t[60])/48 - (1967*t[61])/48 + (2231*t[62])/48 + 
       (279*t[63])/16 + (2129*t[64])/96 - (185*t[65])/24 + (1183*t[66])/24 - 
       t[69] - (4*t[72])/3 + t[73] - t[74] + (35*t[75])/4 - (7*t[76])/12 - 
       t[77]/2 + (16*t[78])/3 + t[79]/4 + (7*t[80])/3 - (47*t[81])/24 + 
       (11*t[82])/3 - (23*t[83])/6 + (73*t[84])/48 - (215*t[85])/24 - 
       14*t[86] + (25*t[87])/2 + (25*t[88])/4 - (37*t[89])/96 - t[97]/12 - 
       26*t[98] + 22*t[99] + 19*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Omega2[v, w, u]*((-5*t[1])/6 + (85*t[2])/12 + 13*t[3] - (35*t[4])/12 - 
       (29*t[5])/24 + (101*t[6])/24 - (43*t[7])/6 - (55*t[8])/6 + 
       (227*t[9])/24 - (527*t[10])/24 - (665*t[11])/24 + (23*t[12])/3 - 
       (3145*t[13])/216 - (347*t[14])/48 - (1519*t[15])/144 - t[19] + t[21] - 
       t[23] + t[26]/3 - (2*t[27])/3 + (7*t[28])/3 + (2*t[29])/3 - 
       (11*t[30])/3 + 4*t[31] + (2*t[32])/3 - (2*t[33])/3 - t[34]/3 + 
       4*t[35] - t[37] + (7*t[39])/3 - (4*t[40])/3 + t[41]/6 - t[42]/6 - 
       (11*t[43])/3 - (2*t[44])/3 - (19*t[45])/6 - t[46] + 4*t[47] + 
       (161*t[48])/24 + (31*t[49])/24 - (21*t[50])/8 - (19*t[51])/48 + 
       (103*t[52])/24 - (31*t[53])/24 + (65*t[54])/24 + t[58]/3 - 
       (3*t[59])/2 - (127*t[60])/12 - (377*t[61])/12 + (443*t[62])/12 + 
       (71*t[63])/12 - (231*t[64])/8 + (505*t[65])/36 + (1139*t[66])/36 - 
       3*t[69] - t[72] + t[75] - (7*t[76])/3 - t[77] + (10*t[78])/3 + 
       t[80]/3 - (5*t[81])/2 + (21*t[82])/2 - (3*t[83])/2 + 2*t[84] - 
       (17*t[85])/12 - 12*t[86] + (37*t[87])/12 + (37*t[88])/24 - 
       (17*t[89])/8 - t[97]/3 - 28*t[98] + 28*t[99] + 19*t[100]) + 
     HPL[{0, 1}, 1 - u]*M1[w, u, v]*(t[1]/4 - (3*t[2])/4 + (59*t[3])/16 - 
       3*t[4] - (99*t[5])/32 - (29*t[6])/16 - (67*t[7])/16 - (117*t[8])/16 + 
       (51*t[9])/32 - (39*t[10])/16 - (153*t[11])/16 + (55*t[12])/32 - 
       (565*t[13])/288 - (233*t[14])/32 - (1033*t[15])/192 - t[25] - t[30] + 
       2*t[31] + 4*t[35] - t[37] + t[38] - (15*t[43])/8 - (5*t[45])/4 - 
       t[46]/2 + (5*t[47])/2 - t[48]/4 + t[49]/8 - t[50]/4 + (5*t[51])/16 + 
       t[52]/4 - t[53]/8 - (7*t[59])/4 - (29*t[60])/4 - (79*t[61])/4 + 
       (31*t[62])/4 - (11*t[63])/4 + (19*t[64])/4 + (155*t[65])/24 + 
       (103*t[66])/8 - t[69] - t[77]/2 + (3*t[80])/2 - t[81] + (15*t[82])/4 + 
       (5*t[83])/2 - (7*t[84])/4 + (7*t[85])/4 + t[86]/2 + (11*t[87])/4 + 
       (11*t[88])/8 + (13*t[89])/8 - 6*t[98] + 6*t[99] + (39*t[100])/2) + 
     HPL[{0, 1}, 1 - w]*M1[w, u, v]*((3*t[2])/4 + t[3]/4 - (111*t[4])/16 + 
       (25*t[5])/8 - (15*t[6])/8 - t[7]/2 - t[8]/2 - (43*t[9])/8 - 
       (187*t[10])/32 - (21*t[11])/4 - (91*t[12])/32 + (97*t[13])/48 - 
       (1033*t[14])/192 + (199*t[15])/96 - (3*t[26])/2 - t[30] + 3*t[31] + 
       4*t[35] + t[36] + t[37] + (3*t[38])/2 + t[43]/2 - (3*t[46])/4 + 
       (3*t[48])/8 + (7*t[49])/32 + (3*t[50])/8 + (33*t[51])/64 - 
       (3*t[52])/8 - (7*t[53])/32 - (11*t[54])/16 - (7*t[59])/4 - 
       (153*t[60])/16 - (129*t[61])/16 + (387*t[62])/32 + (205*t[63])/32 + 
       (131*t[64])/32 + (139*t[65])/16 + (559*t[66])/48 - t[69] - t[72] + 
       t[74] + 2*t[75] - t[76] + 4*t[78] - 4*t[79] - t[81] + (5*t[82])/2 + 
       t[83]/2 - (15*t[84])/16 + (5*t[85])/16 - 4*t[86] + (133*t[87])/16 + 
       (133*t[88])/32 + (77*t[89])/32 - 6*t[98] + 6*t[99] + (39*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*
      ((-22*t[1])/3 - (82*t[2])/3 + (74*t[3])/3 - (38*t[4])/3 - (21*t[5])/2 + 
       (22*t[6])/3 - (349*t[7])/6 - (307*t[8])/6 + (2*t[9])/3 - 
       (155*t[10])/6 - (43*t[11])/6 + (593*t[12])/6 - (6031*t[13])/108 - 
       (1621*t[14])/18 - (247*t[15])/9 + 12*t[18] + 8*t[21] - (16*t[23])/3 + 
       24*t[24] + 4*t[31] + (32*t[34])/3 + (32*t[41])/3 - 12*t[42] - 
       (371*t[43])/6 + 41*t[45] + 14*t[46] - (110*t[47])/3 - (61*t[48])/6 - 
       (40*t[49])/3 - (19*t[50])/2 - (5*t[51])/2 - (7*t[52])/6 + 
       (40*t[53])/3 + (17*t[54])/6 + 20*t[59] + 27*t[60] - (557*t[61])/3 + 
       (153*t[62])/2 - (189*t[63])/2 + (539*t[64])/6 + (1159*t[65])/9 + 
       (1981*t[66])/9 + 8*t[67] + 12*t[69] - 20*t[70] + 20*t[71] + 48*t[74] + 
       (64*t[76])/3 + 8*t[77] - (32*t[78])/3 + 80*t[79] + 64*t[80] + 
       (32*t[81])/3 - 36*t[83] - (25*t[84])/3 + 7*t[85] - (76*t[86])/3 - 
       49*t[87] - (49*t[88])/2 + (29*t[89])/2 - 8*t[94] + 128*t[98] - 
       128*t[99] + 20*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 
       1 - w]*((28*t[1])/3 + 4*t[3] + 9*t[4] + (47*t[5])/6 - (25*t[6])/2 + 
       2*t[7] - 6*t[8] + (3*t[9])/2 - 14*t[10] + (229*t[11])/6 - 
       (69*t[12])/2 - (31*t[13])/27 - (2171*t[14])/36 + (47*t[15])/36 + 
       6*t[16] - 12*t[25] + (16*t[26])/3 - 4*t[36] + (16*t[37])/3 + 
       (28*t[38])/3 - (8*t[46])/3 - (11*t[48])/6 + (29*t[49])/3 + 
       (5*t[50])/6 + (145*t[51])/12 - (5*t[52])/6 - (7*t[53])/3 - 
       (175*t[54])/6 + 4*t[59] + 25*t[60] - 54*t[61] + (122*t[62])/3 - 
       (398*t[63])/3 + 81*t[64] + (49*t[65])/9 - (389*t[66])/9 + 2*t[67] + 
       4*t[69] - 8*t[70] + 8*t[71] + 20*t[74] + 80*t[75] + (64*t[76])/3 - 
       (80*t[78])/3 + 16*t[79] + (32*t[80])/3 + (10*t[81])/3 + 2*t[82] - 
       86*t[83] + t[84]/3 + (88*t[85])/3 + 24*t[86] - (82*t[87])/3 - 
       (97*t[88])/3 + (121*t[89])/6 - 8*t[95] + (32*t[96])/3 + 128*t[98] - 
       128*t[99] + 20*t[100]) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-113*t[1])/72 - (175*t[2])/72 + (111*t[3])/32 - (65*t[4])/36 - 
       (11467*t[5])/576 - (1627*t[6])/288 - (3499*t[7])/288 - 
       (4753*t[8])/288 - (7637*t[9])/576 + (9769*t[10])/288 - 
       (9209*t[11])/288 + (1943*t[12])/576 + (31237*t[13])/5184 - 
       (9013*t[14])/576 - (8033*t[15])/3456 - 2*t[25] - (2*t[26])/9 + 
       (4*t[27])/9 - (80*t[28])/9 - (4*t[29])/9 + (46*t[30])/9 + 
       (38*t[31])/3 - (4*t[32])/9 + (4*t[33])/9 + (2*t[34])/9 + 
       (53*t[35])/3 - (19*t[37])/3 + 2*t[38] - (44*t[39])/9 + (8*t[40])/9 - 
       t[41]/9 + t[42]/9 - (1577*t[43])/144 + (40*t[44])/9 + (76*t[45])/9 - 
       (37*t[46])/12 - (52*t[47])/3 - (128*t[48])/9 + (215*t[49])/144 + 
       4*t[50] + (835*t[51])/288 - (46*t[52])/9 - (215*t[53])/144 - 
       (187*t[54])/72 - (2*t[58])/9 - (175*t[59])/24 - (215*t[60])/72 - 
       (3409*t[61])/72 + (3947*t[62])/144 + (1961*t[63])/144 - 
       (2363*t[64])/48 + (7177*t[65])/432 + (29747*t[66])/432 - 
       (19*t[69])/3 - (41*t[73])/6 + (41*t[75])/6 + (14*t[76])/9 + 
       (7*t[77])/4 - (8*t[78])/9 - (230*t[80])/9 - (19*t[81])/4 + 
       (49*t[82])/6 + 14*t[83] - (25*t[84])/3 + (443*t[85])/72 - 
       (53*t[86])/2 + (233*t[87])/72 + (233*t[88])/144 + (335*t[89])/48 + 
       (2*t[97])/9 + (44*t[98])/3 - (44*t[99])/3 + (61*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      (-18*t[98] + 18*t[99] + (163*t[100])/8) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Qep[w, u, v]*((-32*t[1])/3 + (64*t[3])/9 - 
       (544*t[4])/9 + (40*t[5])/3 - (100*t[6])/3 + (112*t[7])/9 + 
       (112*t[8])/9 - (104*t[9])/9 + (80*t[10])/9 - (92*t[11])/9 + 16*t[12] + 
       (232*t[13])/27 - (1208*t[14])/27 + (28*t[15])/27 - (32*t[31])/3 - 
       (80*t[43])/9 + (16*t[46])/3 + 4*t[48] - (80*t[49])/9 + (100*t[50])/9 + 
       (4*t[51])/9 - (100*t[52])/9 + (80*t[53])/9 - (68*t[54])/9 - 
       (32*t[59])/3 - (88*t[60])/3 - 24*t[61] - (208*t[62])/9 - 
       (704*t[63])/9 + (356*t[64])/9 + (824*t[65])/27 + (136*t[66])/27 + 
       (32*t[74])/3 + (64*t[79])/3 - (16*t[81])/3 + (16*t[82])/3 + 
       (64*t[83])/9 - (32*t[84])/9 - (136*t[85])/9 + (416*t[86])/9 + 
       (200*t[87])/9 + (100*t[88])/9 - (52*t[89])/9 + (64*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*
      ((15*t[2])/8 + (133*t[3])/24 - (173*t[4])/12 + (7*t[5])/2 - 
       (5*t[6])/12 - (35*t[7])/24 - (59*t[8])/24 + (23*t[9])/24 - 
       (9*t[10])/2 - (487*t[11])/24 - (5*t[12])/4 - (1159*t[13])/144 - 
       (199*t[14])/144 - (17*t[15])/9 - t[24]/3 - (2*t[27])/3 + (5*t[28])/6 + 
       (2*t[29])/3 - (8*t[30])/3 + (31*t[31])/6 + 8*t[35] - (5*t[37])/2 + 
       (2*t[39])/3 - t[41]/4 + t[42]/4 + (7*t[43])/12 + (5*t[44])/6 + t[45] - 
       (5*t[47])/2 + (11*t[48])/8 + (23*t[49])/24 - (61*t[50])/24 - 
       (7*t[51])/48 + (61*t[52])/24 - (23*t[53])/24 + (29*t[54])/8 - t[59] + 
       (31*t[60])/12 - (209*t[61])/12 + (55*t[62])/6 + (161*t[63])/12 - 
       (259*t[64])/12 + (367*t[65])/18 + (559*t[66])/36 - (2*t[72])/3 - 
       2*t[73] + t[74] + (13*t[75])/2 + 5*t[78] + (3*t[79])/4 + t[80]/2 + 
       t[81]/3 + (23*t[82])/6 - (97*t[83])/12 + (17*t[84])/6 + (7*t[85])/2 + 
       (17*t[86])/12 - (17*t[87])/2 - (17*t[88])/4 + (31*t[89])/24 + 
       22*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      (t[1]/3 + t[2]/6 + (25*t[3])/4 + (119*t[4])/12 - (433*t[5])/24 + 
       (29*t[6])/3 - (59*t[7])/6 - t[8]/3 + (505*t[9])/24 - (781*t[10])/24 - 
       (67*t[11])/6 + (121*t[12])/12 - (215*t[13])/54 - (371*t[14])/48 - 
       (2951*t[15])/144 + (2*t[26])/3 - (4*t[27])/3 + (8*t[28])/3 + 
       (4*t[29])/3 - (10*t[30])/3 + 2*t[31] + (4*t[32])/3 - (4*t[33])/3 - 
       (2*t[34])/3 + 8*t[35] - 2*t[37] + (8*t[39])/3 - (8*t[40])/3 + 
       t[41]/3 - t[42]/3 - (10*t[43])/3 - (10*t[44])/3 - (35*t[45])/6 - 
       3*t[46] + 15*t[47] + (77*t[48])/12 - (43*t[49])/24 - (7*t[50])/4 - 
       (29*t[51])/48 + (61*t[52])/12 + (43*t[53])/24 + (14*t[54])/3 + 
       (2*t[58])/3 - 2*t[59] - (25*t[60])/6 - (94*t[61])/3 + (509*t[62])/24 - 
       (421*t[63])/24 + (59*t[64])/2 + (31*t[65])/18 + (91*t[66])/9 - 
       2*t[69] + t[75] - (14*t[76])/3 - 2*t[77] + (8*t[78])/3 + 2*t[79] + 
       (5*t[80])/3 - (5*t[81])/2 + (11*t[82])/2 - 8*t[83] + (5*t[84])/4 + 
       (7*t[85])/6 - 4*t[86] + (5*t[87])/3 + (5*t[88])/6 + 9*t[89] - 
       (2*t[97])/3 - 44*t[98] + 44*t[99] + 22*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((3*t[1])/4 + (5*t[2])/12 - (29*t[3])/24 - (13*t[4])/3 + (85*t[5])/48 - 
       (35*t[6])/16 - (5*t[7])/4 + (37*t[8])/12 - (277*t[9])/48 + t[10]/2 - 
       (331*t[11])/48 - (41*t[12])/16 - (323*t[13])/72 - (515*t[14])/144 + 
       (371*t[15])/288 + t[25]/3 - t[26]/6 + (2*t[27])/3 + (2*t[28])/3 + 
       t[29]/3 - (4*t[30])/3 + t[31]/3 - t[34]/6 - t[37]/2 + t[39]/3 - 
       t[40]/3 + t[41]/12 - t[42]/12 + t[43]/6 - t[44]/3 + t[46]/6 + 
       (29*t[48])/16 - (3*t[49])/4 + (21*t[50])/16 - (47*t[51])/48 - 
       (23*t[52])/48 + t[53]/2 + (15*t[54])/16 + t[58]/6 - (7*t[59])/12 - 
       (7*t[60])/6 - (13*t[61])/4 + (53*t[62])/24 - (33*t[63])/8 + 
       (55*t[64])/6 + (71*t[65])/72 + (115*t[66])/24 + (5*t[75])/2 - 
       (13*t[76])/6 - t[77]/6 + (14*t[78])/3 - t[79] - (3*t[80])/2 + 
       (23*t[81])/12 + (13*t[82])/12 + t[83]/2 + (43*t[84])/24 - 
       (11*t[85])/12 - (13*t[86])/3 + (17*t[87])/4 + (17*t[88])/8 - 
       (5*t[89])/24 - t[97]/6 - 14*t[98] + 8*t[99] + (179*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (2*t[1] + (283*t[3])/72 - (1241*t[4])/144 + (607*t[5])/72 + 
       (269*t[6])/96 - (737*t[7])/72 + (53*t[8])/18 - (7*t[9])/2 - 
       (435*t[10])/32 - (5915*t[11])/288 + (1147*t[12])/288 - 
       (2383*t[13])/216 - (1979*t[14])/576 - (725*t[15])/96 - 5*t[25] + 
       4*t[26] - (19*t[27])/18 + (19*t[28])/9 + (19*t[29])/18 - 
       (95*t[30])/36 - t[31]/3 + (5*t[35])/3 - (5*t[37])/6 + t[38] + 
       (19*t[39])/18 - (4*t[43])/3 - (55*t[44])/18 - 2*t[45] - 
       (65*t[46])/24 + 6*t[47] + (835*t[48])/288 + (25*t[49])/96 - 
       (437*t[50])/288 - (929*t[51])/576 + (437*t[52])/288 - (25*t[53])/96 + 
       (205*t[54])/96 + t[59]/12 - (449*t[60])/144 - (451*t[61])/48 + 
       (47*t[62])/96 + (10807*t[63])/288 + (6589*t[64])/288 - 
       (2053*t[65])/216 + (5131*t[66])/216 - (19*t[72])/18 - (41*t[73])/12 - 
       4*t[74] + (11*t[75])/4 + (7*t[78])/6 + 2*t[79] - (331*t[81])/72 + 
       (443*t[82])/72 + (55*t[83])/36 - (23*t[84])/72 + (29*t[85])/144 + 
       t[86]/6 + (571*t[87])/144 + (571*t[88])/288 + (1147*t[89])/288 - 
       4*t[99] + 23*t[100]) + HPL[{0, 1}, 1 - w]*M1[u, v, w]*
      ((-5*t[1])/4 - (7*t[2])/6 + (25*t[3])/12 - (161*t[4])/48 + 
       (103*t[5])/24 - (11*t[6])/4 - (3*t[7])/2 - (23*t[8])/6 - 
       (103*t[9])/24 - (103*t[10])/32 - (211*t[11])/24 - (127*t[12])/32 - 
       (457*t[13])/144 - (3967*t[14])/576 + (445*t[15])/288 - t[19] - t[21] + 
       t[23] + (2*t[25])/3 - t[26]/3 - (2*t[27])/3 - (2*t[28])/3 + 
       (2*t[29])/3 - (2*t[30])/3 + (8*t[31])/3 + t[34]/6 + 6*t[35] + t[36] + 
       2*t[37] - t[38]/2 - t[39]/3 + t[40]/3 - (13*t[41])/12 + 
       (13*t[42])/12 + t[43]/3 + t[44]/3 + (7*t[46])/12 + (19*t[49])/32 - 
       t[50]/2 - (289*t[51])/192 - t[52]/3 - (19*t[53])/32 - (17*t[54])/16 - 
       t[58]/6 - (2*t[59])/3 - (211*t[60])/48 - (105*t[61])/16 + 
       (1201*t[62])/96 + (517*t[63])/32 - (919*t[64])/96 + (995*t[65])/144 + 
       (943*t[66])/48 + t[69] - 2*t[72] + t[74] + 2*t[75] + t[76]/6 + 
       t[77]/6 + (10*t[78])/3 - 4*t[79] - t[80] - t[81]/6 + (5*t[82])/3 - 
       t[83]/2 - (29*t[84])/48 + (71*t[85])/48 - (26*t[86])/3 + 
       (37*t[87])/16 + (37*t[88])/32 + (167*t[89])/96 + t[97]/6 + 2*t[98] - 
       2*t[99] + (47*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*((9*t[1])/4 + (25*t[2])/48 + 
       (25*t[3])/16 - (263*t[4])/96 - (55*t[5])/16 - (203*t[6])/32 + 
       (37*t[7])/6 + t[8]/24 + (23*t[9])/12 + (581*t[10])/192 + 
       (73*t[11])/32 - (1067*t[12])/192 - (5*t[13])/2 - (607*t[14])/384 - 
       (49*t[15])/64 - t[19]/4 - t[21]/4 + t[23]/4 - (7*t[25])/3 + 
       (2*t[26])/3 - t[27]/2 - t[28]/4 - t[30]/4 - (4*t[31])/3 - t[34]/12 + 
       3*t[35] + t[36] - t[37]/4 + (7*t[38])/4 - (3*t[39])/4 + (5*t[40])/6 - 
       (5*t[41])/24 + (5*t[42])/24 + t[43]/6 + t[44]/2 + (7*t[46])/12 - 
       (3*t[47])/4 - (67*t[48])/96 + (559*t[49])/192 + (217*t[50])/96 - 
       (479*t[51])/384 - (59*t[52])/32 - (631*t[53])/192 - (209*t[54])/48 + 
       t[58]/12 - (7*t[59])/6 - (503*t[60])/48 - 21*t[61] + (223*t[62])/192 + 
       (425*t[63])/192 + (89*t[64])/6 - (307*t[65])/96 + (121*t[66])/18 + 
       t[69]/4 - (7*t[72])/12 - t[73]/2 + (11*t[75])/4 - (37*t[76])/12 - 
       (7*t[77])/12 + (17*t[78])/6 - t[79]/4 - (11*t[80])/4 - (5*t[81])/8 - 
       (7*t[82])/24 + (7*t[83])/8 + (5*t[84])/16 + (61*t[85])/24 + 
       (45*t[86])/4 + (137*t[87])/24 + (137*t[88])/48 + (151*t[89])/48 - 
       (3*t[96])/2 - (13*t[97])/12 - 12*t[98] + 17*t[99] + (571*t[100])/24) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((13*t[1])/24 + (37*t[2])/12 + (155*t[3])/48 - (2063*t[4])/96 + 
       (1697*t[5])/144 - (1159*t[6])/144 + (325*t[7])/24 + (719*t[8])/144 + 
       (19*t[9])/72 - (123*t[10])/64 - (6085*t[11])/288 - (823*t[12])/576 - 
       (3805*t[13])/288 - (40153*t[14])/3456 - (361*t[15])/1728 - 
       (11*t[24])/36 + t[26]/12 + (3*t[28])/4 + t[29]/2 - t[30]/2 - 
       (29*t[31])/36 + t[32]/6 - t[33]/6 - t[34]/12 + (5*t[35])/4 + t[37]/4 + 
       (2*t[39])/3 - t[40]/3 - t[41]/12 + t[42]/12 - (11*t[43])/18 - 
       (7*t[44])/4 - (2*t[45])/3 + (9*t[46])/4 + t[47]/6 + (239*t[48])/144 - 
       (3001*t[49])/576 + (307*t[50])/144 + (1321*t[51])/1152 - 
       (247*t[52])/144 + (3001*t[53])/576 + (641*t[54])/96 + t[58]/12 + 
       (17*t[59])/8 - (175*t[60])/48 - (115*t[61])/9 - (6719*t[62])/576 + 
       (17*t[63])/192 + (819*t[64])/32 + (17593*t[65])/864 + 
       (22373*t[66])/864 - t[72]/3 - (3*t[73])/2 + t[74]/2 + (17*t[75])/4 - 
       (49*t[76])/12 + t[77]/8 + (23*t[78])/6 + (25*t[79])/6 - 
       (35*t[80])/12 - (71*t[81])/24 + (31*t[82])/24 - (43*t[83])/36 + 
       (757*t[84])/144 - (151*t[85])/36 + (1655*t[86])/72 + (191*t[87])/72 + 
       (191*t[88])/144 + (721*t[89])/96 + (5*t[97])/12 - 12*t[98] + 
       17*t[99] + (287*t[100])/12) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*(-3*t[1] + (7*t[2])/2 - (95*t[3])/8 - 
       (89*t[4])/4 + (821*t[5])/16 + (187*t[6])/8 - (261*t[7])/4 + 64*t[8] - 
       (1363*t[9])/16 + (137*t[10])/8 - (91*t[11])/4 - (275*t[12])/16 - 
       (173*t[13])/36 + (331*t[14])/12 + (5803*t[15])/288 - 4*t[27] + 
       4*t[28] - 10*t[29] + 13*t[30] + 3*t[31] - 2*t[32] + 2*t[33] - 
       4*t[35] + 10*t[36] - 3*t[39] - 2*t[40] + t[41] - t[42] + 
       (51*t[43])/8 - 26*t[44] + 10*t[45] - 4*t[46] - 22*t[47] + 
       (157*t[48])/8 + (11*t[49])/8 - (143*t[50])/8 - (75*t[51])/16 + 
       (143*t[52])/8 - (11*t[53])/8 - (95*t[54])/8 - 2*t[59] - 
       (205*t[61])/4 + (259*t[62])/8 - (167*t[63])/8 - (91*t[64])/8 - 
       (67*t[65])/12 + (533*t[66])/12 - (11*t[77])/2 - 7*t[80] - 2*t[82] + 
       (43*t[86])/2 + (11*t[89])/2 + 24*t[98] - 24*t[99] + 24*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*(21*t[1] - 6*t[2] + 
       (487*t[3])/8 + (107*t[4])/4 + (57*t[5])/4 + (259*t[6])/16 - 
       (347*t[7])/8 + (313*t[8])/8 - 112*t[9] - (65*t[10])/8 + 
       (515*t[11])/16 - (31*t[12])/4 + (10147*t[13])/144 - (127*t[14])/2 - 
       (2621*t[15])/144 - t[16] - 2*t[17] + 4*t[18] + (38*t[19])/3 + 
       4*t[20] + 16*t[21] - 4*t[22] - 16*t[23] + 2*t[24] - 2*t[25] + 
       2*t[26] + 15*t[27] + 2*t[28] - (17*t[29])/2 + 29*t[30] - 24*t[31] + 
       10*t[32] + 6*t[33] + 2*t[34] + 6*t[35] - 12*t[36] - 12*t[37] + 
       17*t[38] - 2*t[39] + 7*t[40] + 6*t[41] - 4*t[42] - (29*t[43])/8 + 
       (131*t[44])/4 - (95*t[45])/4 - (3*t[46])/2 + (57*t[47])/2 + 
       (327*t[48])/16 - (7*t[49])/2 - (165*t[50])/16 + (201*t[51])/16 - 
       (187*t[52])/16 + (11*t[53])/2 - (287*t[54])/16 - 2*t[57] + 2*t[58] - 
       (17*t[59])/2 - 74*t[60] + 18*t[61] + 89*t[62] - (105*t[63])/2 - 
       (141*t[64])/2 + 109*t[65] + (214*t[66])/3 + t[67] + 7*t[68] - 
       4*t[70] + 4*t[71] + 10*t[72] - 26*t[73] + 62*t[75] - (45*t[76])/2 + 
       7*t[77] - 5*t[78] + 6*t[79] + 76*t[80] - (3*t[81])/2 + 24*t[82] - 
       44*t[83] - (15*t[84])/2 - (63*t[85])/2 - 112*t[86] + (171*t[87])/2 + 
       (171*t[88])/4 + (79*t[89])/4 - t[91]/6 + t[92] - t[94] - 2*t[97] + 
       24*t[98] - 24*t[99] + 24*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-4*t[1] + 14*t[2] + (25*t[3])/4 - 
       (301*t[4])/4 - (727*t[5])/8 - 2*t[6] + (281*t[7])/4 - (193*t[8])/4 + 
       (825*t[9])/8 - (1031*t[10])/8 + (171*t[11])/4 + (197*t[12])/2 - 
       (1835*t[13])/72 - (187*t[14])/16 - (5707*t[15])/144 + t[16] - 
       7*t[25] + 11*t[26] + 2*t[27] + 14*t[28] - 10*t[29] + 8*t[31] + 
       4*t[32] - 4*t[33] - 2*t[34] + 4*t[35] + 8*t[36] + 2*t[37] - 2*t[38] + 
       10*t[39] - 7*t[40] + t[41] - t[42] - (23*t[43])/2 + 13*t[44] - 
       (13*t[45])/2 + (23*t[46])/2 + 17*t[47] - 21*t[48] - (391*t[49])/8 + 
       (57*t[50])/2 + (283*t[51])/16 - (29*t[52])/2 + (479*t[53])/8 + 
       (139*t[54])/4 + 2*t[58] - 6*t[59] - (345*t[60])/4 - 56*t[61] - 
       (323*t[62])/8 - (705*t[63])/8 + (289*t[64])/2 - (67*t[65])/3 - 
       (170*t[66])/3 + t[67] - t[68] + 24*t[72] + 20*t[73] - 60*t[75] + 
       25*t[76] - 2*t[77] - 89*t[78] - 12*t[79] - 46*t[80] - (17*t[81])/2 - 
       (7*t[82])/2 + 18*t[83] - 12*t[84] + (23*t[85])/4 + 95*t[86] + 
       (261*t[87])/4 + (13*t[88])/8 - (39*t[89])/2 + 2*t[93] + 4*t[95] + 
       10*t[96] - 4*t[97] - 36*t[98] + 36*t[99] + 24*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*(16*t[1] - (105*t[2])/4 - 
       (153*t[3])/2 - 38*t[4] - (149*t[5])/8 + (437*t[6])/8 + (269*t[7])/4 + 
       (465*t[8])/4 + (745*t[9])/8 + 80*t[10] + (365*t[11])/8 + 
       (385*t[12])/8 + (2225*t[13])/24 + (1727*t[14])/24 + (3209*t[15])/144 + 
       (3*t[17])/2 + 4*t[18] + 4*t[19] - 24*t[20] + 2*t[22] + 6*t[23] - 
       2*t[24] - t[25] + t[26] + 3*t[27] - 28*t[28] - 3*t[29] - 6*t[30] - 
       2*t[32] - 2*t[33] + 4*t[34] + 8*t[35] - 4*t[36] - 8*t[37] + 8*t[38] - 
       10*t[39] + 6*t[40] + t[41] + 3*t[42] - 13*t[43] + (7*t[44])/2 - 
       (23*t[45])/2 + t[46]/2 + 43*t[47] - (167*t[48])/8 - (61*t[49])/4 + 
       (13*t[50])/8 + (71*t[51])/8 - (173*t[52])/8 + (69*t[53])/4 + 
       (151*t[54])/8 + 4*t[57] - 4*t[59] + (143*t[60])/2 + 128*t[61] - 
       115*t[62] - 108*t[63] + 16*t[64] + (232*t[65])/3 - (305*t[66])/2 - 
       4*t[70] + 4*t[71] - 4*t[74] - 2*t[76] + 12*t[77] + 3*t[78] + 
       18*t[80] + 5*t[81] + t[82] + 9*t[84] - 4*t[85] + 17*t[86] + 3*t[87] + 
       (3*t[88])/2 + (217*t[89])/4 - t[92] + t[94] - 2*t[97] - 36*t[98] + 
       36*t[99] + 24*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-8*t[1])/3 - t[2]/2 + 
       (49*t[3])/72 - (2579*t[4])/144 + (49*t[5])/6 - 7*t[6] + 
       (175*t[7])/18 + (127*t[8])/18 - (83*t[9])/18 - (2119*t[10])/288 - 
       (1487*t[11])/72 + (407*t[12])/96 - (581*t[13])/216 - 
       (16297*t[14])/1728 + (1759*t[15])/864 - t[19]/2 - t[21]/2 + t[23]/2 + 
       t[26]/2 + (3*t[28])/2 + t[30]/2 + (3*t[31])/2 + (5*t[35])/2 - t[36] + 
       (7*t[37])/2 - t[38]/2 + (3*t[39])/2 - 2*t[40] - (49*t[43])/36 + 
       3*t[45] + (35*t[46])/12 - (11*t[47])/2 + (11*t[48])/24 - 
       (557*t[49])/288 + (7*t[50])/72 - (559*t[51])/576 - (7*t[52])/72 + 
       (341*t[53])/288 + (497*t[54])/144 + (31*t[59])/12 - (37*t[60])/8 - 
       (389*t[61])/24 + (5327*t[62])/288 + (73*t[63])/288 - 
       (2855*t[64])/144 + (10045*t[65])/432 + (7915*t[66])/216 - t[67]/4 + 
       t[69]/2 - t[72]/2 - t[73] + (16*t[74])/3 + (5*t[75])/2 + 2*t[77] - 
       2*t[78] + 4*t[79] - (9*t[80])/2 - (5*t[81])/2 + (7*t[82])/2 - 
       (65*t[83])/18 + (607*t[84])/72 + (311*t[85])/72 - (139*t[86])/18 - 
       (391*t[87])/72 + (41*t[88])/144 + (94*t[89])/9 - 2*t[99] + 
       (299*t[100])/12) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*(-5*t[1] - (3*t[2])/2 + (4*t[3])/3 + 
       (50*t[4])/3 - 15*t[5] - (111*t[6])/8 + (109*t[7])/3 - (59*t[8])/3 + 
       (113*t[9])/6 - (131*t[10])/6 - (649*t[11])/24 - (9*t[12])/4 + 
       (115*t[13])/36 - (25*t[14])/18 - (665*t[15])/36 - 3*t[29] + 3*t[31] + 
       10*t[35] - (67*t[43])/6 + (13*t[44])/2 - (17*t[46])/2 - (91*t[48])/8 + 
       (149*t[49])/6 + (215*t[50])/24 - (145*t[51])/24 - (215*t[52])/24 - 
       (149*t[53])/6 - (679*t[54])/24 + 2*t[59] - (27*t[60])/4 - 
       (47*t[61])/4 - (289*t[62])/12 + (457*t[63])/12 + (79*t[64])/24 - 
       (1261*t[65])/36 + (127*t[66])/36 + t[67] - 17*t[74] - 10*t[79] - 
       12*t[80] - (7*t[81])/2 + (7*t[82])/2 + (22*t[83])/3 - (11*t[84])/3 + 
       (17*t[85])/12 + (143*t[86])/3 + (71*t[87])/12 + (71*t[88])/24 + 
       (91*t[89])/24 + 25*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((11*t[1])/2 - (113*t[2])/12 + (89*t[3])/6 + 
       (95*t[4])/12 + (739*t[5])/24 - (40*t[6])/3 - (991*t[7])/24 - 
       (763*t[8])/24 - (847*t[9])/12 - 11*t[10] - (1235*t[11])/24 - 
       (323*t[12])/12 - (5203*t[13])/144 - (4349*t[14])/144 + (35*t[15])/24 - 
       (17*t[17])/6 + (11*t[18])/3 + 3*t[19] - 3*t[21] - t[23]/3 + 
       (4*t[24])/3 - 2*t[28] + 2*t[30] - 10*t[31] + 2*t[37] - 2*t[39] - 
       (2*t[41])/3 + (4*t[42])/3 + (41*t[43])/8 - (191*t[45])/12 - 
       (3*t[46])/2 + (13*t[47])/2 + (359*t[48])/24 - (31*t[49])/24 - 
       t[50]/24 - (35*t[51])/48 + t[52]/24 + (31*t[53])/24 + (319*t[54])/24 + 
       (5*t[59])/2 - (77*t[60])/6 - (280*t[61])/3 + (1747*t[62])/12 + 
       (175*t[63])/4 + 34*t[64] - (509*t[65])/36 + (593*t[66])/4 - t[67]/6 - 
       3*t[69] - t[70]/3 + t[71]/3 - 2*t[72] + t[74]/3 + 8*t[75] + 
       (4*t[76])/3 + (10*t[78])/3 + 12*t[79] - (47*t[80])/3 + (7*t[81])/6 + 
       (19*t[82])/2 - 25*t[83] + (85*t[84])/12 - (37*t[85])/3 - 
       (308*t[86])/3 - (9*t[87])/2 - (9*t[88])/4 - t[89] + (4*t[94])/3 + 
       8*t[98] - 28*t[99] + 26*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-27*t[1])/2 - t[2]/2 + (13*t[3])/12 + 
       (485*t[4])/12 + (41*t[5])/4 - (59*t[6])/24 + (23*t[7])/12 + 
       (3*t[8])/4 - (89*t[9])/6 + (95*t[10])/4 + (101*t[11])/8 + 
       (91*t[12])/6 + (1595*t[13])/216 - (35*t[14])/16 + (161*t[15])/72 + 
       t[16]/2 + 2*t[25] + (40*t[26])/3 + (5*t[36])/3 + 2*t[37] - 
       (49*t[38])/3 + t[40]/3 + (10*t[46])/3 + (41*t[48])/24 + (21*t[49])/4 + 
       (55*t[50])/8 - (721*t[51])/48 - (181*t[52])/24 - (35*t[53])/4 - 
       (233*t[54])/8 + (55*t[59])/6 + (173*t[60])/12 - (5*t[61])/6 - 
       (76*t[62])/3 - (175*t[63])/12 + (7*t[64])/4 + (146*t[65])/9 + 
       (461*t[66])/9 - t[67]/2 + 2*t[69] - (4*t[70])/3 + (4*t[71])/3 - 
       (11*t[74])/3 + 2*t[75] + (4*t[76])/3 - (2*t[78])/3 - (2*t[80])/3 + 
       (2*t[82])/3 + 6*t[83] + (27*t[84])/2 + (34*t[85])/3 + 16*t[86] - 
       (7*t[87])/3 + (47*t[88])/6 + (703*t[89])/24 - (20*t[95])/3 + t[97]/3 + 
       8*t[98] - 28*t[99] + 26*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]^2*((5*t[1])/24 + t[2]/24 - (49*t[3])/48 + 
       (185*t[4])/16 - (1387*t[5])/96 - (53*t[6])/96 - (83*t[7])/48 - 
       (67*t[8])/24 + (929*t[9])/96 - (1607*t[10])/96 + (9*t[11])/32 + 
       (13*t[12])/3 + (10747*t[13])/864 - (6325*t[14])/576 - 
       (2075*t[15])/192 + t[17]/8 + t[19] - (3*t[21])/4 + (3*t[23])/4 - 
       (3*t[24])/4 + t[26]/6 - t[27]/3 - t[28]/3 + t[29]/3 - t[30]/3 + 
       t[32]/3 - t[33]/3 - t[34]/6 + (31*t[35])/4 - (13*t[37])/4 - t[39]/3 - 
       (2*t[40])/3 + (5*t[41])/6 - (5*t[42])/6 - (73*t[43])/24 - 
       (11*t[44])/6 - (79*t[45])/12 - (7*t[46])/4 + (31*t[47])/2 - 
       (437*t[48])/96 - (39*t[49])/32 + (439*t[50])/96 + (67*t[51])/64 - 
       (359*t[52])/96 + (39*t[53])/32 - (109*t[54])/96 + t[58]/6 - 
       (9*t[59])/8 - (131*t[60])/12 - (181*t[61])/12 - (727*t[62])/48 - 
       (165*t[63])/8 + (2941*t[64])/48 - (407*t[65])/24 - (75*t[66])/16 + 
       (3*t[69])/4 + t[72] + t[73] - 2*t[74] - 4*t[75] - (7*t[76])/6 - 
       2*t[77] - (17*t[78])/6 + (3*t[79])/4 + (107*t[80])/12 - (15*t[81])/4 + 
       2*t[82] + (433*t[83])/24 - (313*t[84])/48 + (17*t[85])/16 + 
       (52*t[86])/3 + (285*t[87])/16 + (285*t[88])/32 + (331*t[89])/48 - 
       t[97]/6 - 14*t[98] + 8*t[99] + (209*t[100])/8) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-17*t[1])/12 - (65*t[2])/48 + (9*t[3])/2 - (2933*t[4])/192 + 
       (211*t[5])/32 - (89*t[6])/24 - t[7]/2 - (269*t[8])/24 + (5*t[9])/32 - 
       (659*t[10])/128 - (1429*t[11])/96 + (863*t[12])/384 - 
       (4357*t[13])/576 - (5525*t[14])/768 + (565*t[15])/1152 + t[25] - 
       (13*t[26])/24 - t[27] - (5*t[28])/3 + t[29]/2 + (17*t[30])/12 + 
       (5*t[31])/3 + (5*t[34])/12 + (4*t[35])/3 + t[36] + (5*t[37])/6 - 
       (7*t[38])/8 - (5*t[39])/6 + (5*t[40])/6 - (5*t[41])/24 + 
       (5*t[42])/24 + (5*t[44])/6 - t[45]/2 + (11*t[46])/6 + t[47] - 
       (69*t[48])/16 + (149*t[49])/384 - (33*t[50])/16 + (53*t[51])/256 - 
       t[52]/48 + (169*t[53])/128 + (1673*t[54])/192 - (5*t[58])/12 - 
       (3*t[59])/16 - (621*t[60])/64 - (2263*t[61])/192 + (2765*t[62])/384 + 
       (12683*t[63])/384 + (7633*t[64])/384 + (305*t[65])/192 + 
       (14929*t[66])/576 + t[69] - (8*t[72])/3 - (23*t[74])/12 - t[75]/6 + 
       (15*t[76])/4 + (5*t[77])/12 - (9*t[78])/2 + (11*t[79])/4 + t[80]/2 + 
       (17*t[81])/24 - t[82]/3 - (25*t[83])/12 - (1661*t[84])/192 - 
       (175*t[85])/64 - (27*t[86])/4 - (893*t[87])/192 - (1661*t[88])/384 - 
       (1469*t[89])/384 + 2*t[95] + (5*t[97])/12 + (47*t[98])/2 - 
       (57*t[99])/2 + 27*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-5*t[1] - (39*t[2])/8 + (55*t[3])/4 + 
       (279*t[4])/8 - (59*t[5])/4 + (175*t[6])/8 - (417*t[7])/8 - 
       (209*t[8])/8 - (219*t[9])/16 + (357*t[10])/16 - (91*t[11])/2 - 
       (283*t[12])/16 - (659*t[13])/18 - (3373*t[14])/96 - (7*t[15])/6 - 
       t[22] + 9*t[31] - 2*t[32] + 2*t[33] - 8*t[34] + 2*t[38] - 2*t[39] + 
       3*t[40] + 2*t[41] - 2*t[42] - t[43]/4 - 3*t[44] + (11*t[45])/2 + 
       (25*t[46])/4 - (35*t[47])/2 + (35*t[48])/8 - (199*t[49])/16 - 
       (117*t[50])/8 + (157*t[51])/32 + (77*t[52])/8 + (199*t[53])/16 + 
       (29*t[54])/2 - (51*t[59])/4 - 30*t[60] - (253*t[61])/4 + 
       (171*t[62])/2 - (27*t[63])/4 - 95*t[64] + (547*t[65])/24 + 
       (771*t[66])/8 + 6*t[69] - 6*t[73] + (17*t[74])/2 + 3*t[75] - 
       (11*t[76])/2 + t[77]/2 + 10*t[78] + (15*t[79])/2 - 21*t[80] + 
       t[81]/4 + 9*t[82] + (53*t[83])/2 - (83*t[84])/4 + (57*t[85])/8 - 
       69*t[86] + (99*t[87])/8 + (99*t[88])/16 - (17*t[89])/2 - (5*t[97])/2 - 
       78*t[98] + 66*t[99] + 27*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*(2*t[1] - (9*t[2])/4 + 
       (29*t[3])/6 - (46*t[4])/3 + (97*t[5])/8 + t[6]/2 - (38*t[7])/3 - 
       (79*t[8])/6 - (235*t[9])/24 + (73*t[10])/6 - (77*t[11])/12 + 
       (33*t[12])/8 - (15*t[13])/4 - (523*t[14])/72 + (43*t[15])/144 - 
       2*t[30] + 5*t[31] + 7*t[35] - 3*t[37] + t[39]/2 - t[40]/2 + 
       (10*t[43])/3 + t[44]/2 + (3*t[46])/2 + (11*t[48])/4 - (23*t[49])/12 - 
       (23*t[50])/12 + (7*t[51])/12 + (23*t[52])/12 + (23*t[53])/12 + 
       (7*t[54])/12 - t[59]/2 - (57*t[60])/4 - (11*t[61])/4 + 
       (307*t[62])/24 + (119*t[63])/24 - (47*t[64])/24 + (86*t[65])/9 + 
       (112*t[66])/9 + 3*t[74] + 2*t[75] + 2*t[78] - (5*t[79])/2 + 2*t[80] - 
       (3*t[81])/2 + (7*t[82])/2 - (14*t[83])/3 - (17*t[84])/12 + 
       (2*t[85])/3 - (83*t[86])/6 + (8*t[87])/3 + (4*t[88])/3 + 
       (55*t[89])/24 - 4*t[99] + (82*t[100])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-15*t[1])/2 + 3*t[2] - (47*t[3])/24 - (97*t[4])/6 + (3*t[5])/16 + 
       (9*t[6])/8 + (17*t[7])/12 + (2*t[8])/3 + (101*t[9])/48 + 
       (229*t[10])/12 + (101*t[11])/12 + (175*t[12])/16 - (259*t[13])/144 + 
       (305*t[14])/144 + (1477*t[15])/288 + 3*t[20] + 3*t[21] - 3*t[23] - 
       5*t[25] + 12*t[26] + (3*t[28])/2 + (9*t[31])/2 + (3*t[35])/2 - 
       (15*t[36])/2 - 4*t[37] - 6*t[38] + (3*t[39])/2 - (3*t[40])/2 + 
       (3*t[41])/2 - (3*t[42])/2 - t[43]/3 + (9*t[45])/2 + 12*t[46] - 
       9*t[47] + (11*t[48])/8 - (265*t[49])/12 + (31*t[50])/24 - 
       (227*t[51])/24 + (41*t[52])/24 + (193*t[53])/12 - (227*t[54])/24 - 
       (17*t[59])/4 + (137*t[60])/4 + 14*t[61] + (445*t[62])/48 - 
       (2593*t[63])/48 - (539*t[64])/12 + (583*t[65])/36 + (1097*t[66])/36 - 
       13*t[69] + 8*t[70] - 8*t[71] + 11*t[74] + (23*t[75])/2 - 3*t[76] + 
       (3*t[77])/2 + (15*t[78])/2 - 4*t[79] - (15*t[80])/2 - (7*t[81])/4 + 
       (7*t[82])/4 - (55*t[83])/3 + (259*t[84])/24 + (35*t[85])/6 - 
       (11*t[86])/3 + (55*t[87])/12 + (55*t[88])/24 + (385*t[89])/12 - 
       36*t[98] + 42*t[99] + (55*t[100])/2) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((229*t[1])/144 + 
       (59*t[2])/144 + (341*t[3])/64 - t[4]/36 - (4177*t[5])/1152 + 
       (947*t[6])/576 - (3553*t[7])/576 - (2107*t[8])/576 - 
       (5567*t[9])/1152 - (6665*t[10])/576 - (6923*t[11])/576 - 
       (3331*t[12])/1152 - (132365*t[13])/10368 - (7099*t[14])/1152 - 
       (8771*t[15])/6912 + (7*t[26])/18 - (7*t[27])/9 + (14*t[28])/9 + 
       (7*t[29])/9 + t[30]/18 - (5*t[31])/3 + (7*t[32])/9 - (7*t[33])/9 - 
       (7*t[34])/18 - t[35]/6 + (5*t[37])/6 + (14*t[39])/9 - (14*t[40])/9 + 
       (7*t[41])/36 - (7*t[42])/36 - (191*t[43])/288 - (7*t[44])/9 + 
       (133*t[45])/72 - (31*t[46])/24 - (35*t[47])/12 + (379*t[48])/72 - 
       (253*t[49])/288 + (15*t[50])/8 + (475*t[51])/576 + (5*t[52])/72 + 
       (253*t[53])/288 + (371*t[54])/144 + (7*t[58])/18 + (59*t[59])/48 - 
       (1151*t[60])/144 - (853*t[61])/144 + (4073*t[62])/288 + 
       (1403*t[63])/288 - (185*t[64])/96 + (1291*t[65])/864 + 
       (25409*t[66])/864 + (5*t[69])/6 - (41*t[73])/12 + (41*t[75])/12 - 
       (49*t[76])/18 - (3*t[77])/8 + (14*t[78])/9 - (361*t[80])/36 - 
       (23*t[81])/8 + (35*t[82])/24 + 3*t[83] - (5*t[84])/3 - 
       (1285*t[85])/144 - 10*t[86] + (1745*t[87])/144 + (1745*t[88])/288 + 
       (95*t[89])/96 - (7*t[97])/18 - (41*t[98])/3 + (41*t[99])/3 + 
       (167*t[100])/6) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((17*t[1])/3 + (71*t[2])/6 + (191*t[3])/8 + (445*t[4])/12 - 
       (1591*t[5])/48 + (13*t[6])/12 + (377*t[7])/24 - (229*t[8])/24 + 
       (1075*t[9])/48 - (124*t[10])/3 - (77*t[11])/6 + (521*t[12])/48 - 
       (7829*t[13])/432 - (97*t[14])/4 - (6881*t[15])/288 - 4*t[17] + 
       9*t[18] - 5*t[19] + t[21] - 3*t[23] + 5*t[24] + (4*t[26])/3 - 
       (8*t[27])/3 + (16*t[28])/3 + (8*t[29])/3 - (14*t[30])/3 - 9*t[31] + 
       (8*t[32])/3 - (8*t[33])/3 - (4*t[34])/3 + 4*t[35] + (16*t[39])/3 - 
       (16*t[40])/3 - (29*t[41])/6 + (29*t[42])/6 - (149*t[43])/12 - 
       (8*t[44])/3 - (133*t[45])/6 - 3*t[46] + 45*t[47] + (509*t[48])/24 + 
       (43*t[49])/24 + (63*t[50])/8 - (31*t[51])/48 - (29*t[52])/24 - 
       (43*t[53])/24 + (41*t[54])/24 + (4*t[58])/3 - t[59]/2 - (46*t[60])/3 - 
       (83*t[61])/3 + (263*t[62])/12 - (439*t[63])/12 + (81*t[64])/4 - 
       (35*t[65])/36 + (419*t[66])/36 - (28*t[76])/3 - 7*t[77] + 
       (16*t[78])/3 - (5*t[80])/3 - 4*t[81] + (9*t[82])/2 + 2*t[84] - 
       (26*t[85])/3 + 3*t[86] + (58*t[87])/3 + (29*t[88])/3 + 9*t[89] - 
       (4*t[97])/3 - 76*t[98] + 76*t[99] + 28*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-11*t[1])/2 + (11*t[2])/6 + (437*t[3])/24 + (31*t[4])/2 - 
       (331*t[5])/16 + (22*t[6])/3 - (87*t[7])/8 - (547*t[8])/24 + 
       (653*t[9])/48 - (431*t[10])/24 - (539*t[11])/12 + (337*t[12])/48 - 
       (14159*t[13])/432 - (2965*t[14])/144 - (2141*t[15])/96 + (7*t[16])/3 - 
       (17*t[25])/3 + (59*t[26])/3 - (8*t[27])/3 + (16*t[28])/3 + 
       (8*t[29])/3 - (14*t[30])/3 + (8*t[32])/3 - (8*t[33])/3 - (4*t[34])/3 + 
       4*t[35] + (14*t[36])/3 - (25*t[37])/3 - (20*t[38])/3 + (16*t[39])/3 - 
       (16*t[40])/3 + (2*t[41])/3 - (2*t[42])/3 - (23*t[43])/12 - 
       (8*t[44])/3 - (31*t[45])/6 + t[46] + 13*t[47] + (257*t[48])/24 - 
       (2*t[49])/3 + (61*t[50])/24 - (27*t[51])/4 + (33*t[52])/8 - 
       (34*t[53])/3 + (115*t[54])/24 + (4*t[58])/3 + (23*t[59])/6 - 
       (93*t[60])/4 - (695*t[61])/12 + (285*t[62])/8 - (707*t[63])/24 - 
       (233*t[64])/24 + (11*t[65])/9 + (524*t[66])/9 - (7*t[67])/3 + 
       9*t[69] + t[70] - t[71] - (14*t[74])/3 - (28*t[76])/3 - 3*t[77] + 
       (16*t[78])/3 - (5*t[80])/3 - (19*t[81])/3 + (41*t[82])/6 + 
       (29*t[84])/12 - (79*t[85])/12 + 3*t[86] + (87*t[87])/4 + 
       (63*t[88])/8 + (275*t[89])/24 - (4*t[97])/3 - 76*t[98] + 76*t[99] + 
       28*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-19*t[1])/6 + (19*t[2])/6 + (115*t[3])/12 + (863*t[4])/24 - 
       (47*t[5])/3 + (185*t[6])/8 + (20*t[7])/3 + (113*t[8])/6 - 
       (127*t[9])/12 - (1225*t[10])/48 - (601*t[11])/24 + (25*t[12])/16 - 
       (1453*t[13])/216 - (967*t[14])/288 - (367*t[15])/48 - (14*t[17])/3 + 
       t[18]/3 - 5*t[19] + t[21] + 5*t[23] + (17*t[24])/3 + (8*t[25])/3 + 
       (5*t[26])/3 - (8*t[27])/3 + (16*t[28])/3 + (8*t[29])/3 - 
       (14*t[30])/3 + (29*t[31])/3 - (4*t[34])/3 + 4*t[35] + 2*t[36] - 
       3*t[38] + (8*t[39])/3 - (8*t[40])/3 - (59*t[41])/6 + (23*t[42])/2 - 
       5*t[43] - (8*t[44])/3 - (58*t[45])/3 - (5*t[46])/2 + (110*t[47])/3 + 
       (329*t[48])/24 + (557*t[49])/48 - (151*t[50])/24 - (877*t[51])/96 + 
       (311*t[52])/24 - (605*t[53])/48 - 5*t[54] + (4*t[58])/3 - 
       (7*t[59])/2 + (73*t[60])/8 + (563*t[61])/24 + (1795*t[62])/48 - 
       (163*t[63])/48 - (979*t[64])/16 - (63*t[65])/8 + (985*t[66])/24 + 
       16*t[69] + 2*t[74] + 12*t[75] - (46*t[76])/3 - (4*t[77])/3 + 
       (88*t[78])/3 - 16*t[79] - (4*t[80])/3 - (2*t[81])/3 - (7*t[82])/3 - 
       16*t[83] + (89*t[84])/24 + (37*t[85])/24 - 44*t[86] + (63*t[87])/8 + 
       (63*t[88])/16 + (721*t[89])/48 - (4*t[97])/3 - 76*t[98] + 76*t[99] + 
       28*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (-20*t[1] + (29*t[2])/6 - (89*t[3])/12 - (691*t[4])/24 - (95*t[5])/24 + 
       (151*t[6])/8 - (27*t[7])/4 + (245*t[8])/12 - (451*t[9])/24 + 
       (199*t[10])/16 - (559*t[11])/24 + (633*t[12])/16 - (175*t[13])/36 + 
       (3547*t[14])/288 + (727*t[15])/72 + 2*t[16] - (7*t[25])/3 + 
       (56*t[26])/3 - (8*t[27])/3 + (16*t[28])/3 + (8*t[29])/3 - 
       (14*t[30])/3 + (8*t[31])/3 - (4*t[34])/3 + 4*t[35] + 6*t[36] - 
       8*t[37] - 17*t[38] + (8*t[39])/3 - (8*t[40])/3 + (2*t[41])/3 - 
       (2*t[42])/3 + (4*t[43])/3 - (8*t[44])/3 + (11*t[46])/6 + 
       (155*t[48])/8 + (145*t[49])/16 + (31*t[50])/8 - (1283*t[51])/96 + 
       (67*t[52])/24 - (97*t[53])/16 - (5*t[54])/4 + (4*t[58])/3 + 
       (65*t[59])/6 - (1727*t[60])/24 + (243*t[61])/8 + (2777*t[62])/48 + 
       (549*t[63])/16 - (1499*t[64])/48 + (3655*t[65])/72 + (1279*t[66])/24 - 
       2*t[67] + 9*t[69] + t[70] - t[71] - 2*t[74] + 12*t[75] - 
       (46*t[76])/3 - (4*t[77])/3 + (88*t[78])/3 - 16*t[79] - 4*t[80] - 
       (8*t[81])/3 - t[82]/3 - 16*t[83] + (107*t[84])/24 - (293*t[85])/24 - 
       (140*t[86])/3 + (353*t[87])/8 + (353*t[88])/16 + (931*t[89])/48 - 
       (4*t[97])/3 - 76*t[98] + 76*t[99] + 28*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]^2*(-4*t[2] + (7*t[3])/2 - 7*t[4] + 
       (111*t[5])/8 + t[6]/4 - 16*t[7] - (77*t[8])/4 - (257*t[9])/8 + 
       (67*t[10])/2 - (107*t[11])/4 - (137*t[12])/8 - (173*t[13])/18 + 
       (5*t[14])/6 + (613*t[15])/48 + t[17]/2 - (2*t[19])/3 - 7*t[21] + 
       8*t[23] - 5*t[24] + 7*t[31] + 2*t[37] - 7*t[41] + 7*t[42] + 19*t[45] - 
       45*t[47] - (13*t[48])/2 + (5*t[49])/2 + (7*t[50])/2 - (23*t[51])/8 - 
       (7*t[52])/2 - (5*t[53])/2 - (17*t[54])/2 + (7*t[60])/4 - 
       (69*t[61])/4 + (271*t[62])/8 + (109*t[63])/8 - (595*t[64])/8 - 
       (23*t[65])/3 + (229*t[66])/12 + t[69] + 7*t[70] - 7*t[71] - 
       (9*t[79])/2 - 18*t[80] - (7*t[81])/2 + (7*t[82])/2 + 5*t[83] - 
       (5*t[84])/4 + 4*t[85] - (37*t[86])/2 - (11*t[87])/2 - (11*t[88])/4 - 
       (115*t[89])/8 + (57*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - v]*((5*t[1])/9 + (1073*t[2])/432 - (493*t[3])/72 + 
       (1183*t[4])/144 - (257*t[5])/144 + (151*t[6])/72 - (529*t[7])/24 + 
       (166*t[8])/9 - (1073*t[9])/72 + (227*t[10])/96 + (743*t[11])/144 - 
       (353*t[12])/96 + (12247*t[13])/1296 - (9647*t[14])/1728 - 
       (1943*t[15])/864 + t[18] + t[20]/6 - (2*t[22])/3 + (2*t[24])/3 + 
       (5*t[27])/9 + (7*t[28])/18 - (10*t[29])/3 + (11*t[30])/36 + 
       (4*t[31])/3 - (251*t[32])/36 + (21*t[33])/4 - (59*t[34])/18 - 
       (10*t[35])/3 + t[36]/3 - t[37]/3 + (25*t[38])/36 - (5*t[39])/36 + 
       (5*t[40])/9 + (7*t[41])/18 - (7*t[42])/18 + (3*t[43])/4 - 
       (22*t[44])/9 + (35*t[45])/18 + (5*t[46])/24 - (47*t[47])/18 + 
       (251*t[48])/72 - (91*t[49])/96 - (247*t[50])/24 + (463*t[51])/576 + 
       (601*t[52])/72 + (433*t[53])/288 + (419*t[54])/144 - (14*t[59])/27 + 
       (167*t[60])/72 + (367*t[61])/18 - (683*t[62])/96 - (8143*t[63])/288 + 
       (1795*t[64])/48 - (1055*t[65])/432 - (4411*t[66])/144 + t[68]/2 - 
       (2*t[69])/3 + t[70] - t[71] - (4*t[72])/9 - t[73]/12 + (8*t[74])/3 - 
       (2*t[75])/3 - (5*t[76])/6 + (17*t[77])/18 + (19*t[78])/18 - 
       (8*t[79])/3 + t[80]/18 - (5*t[81])/6 - (67*t[83])/36 + (55*t[84])/72 + 
       (7*t[85])/24 - (9*t[86])/2 + (803*t[87])/72 + (257*t[88])/48 + 
       (2239*t[89])/144 + (5*t[96])/6 + (5*t[97])/18 - (20*t[98])/3 + 
       (19*t[99])/3 + (57*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*(-t[1]/4 + (29*t[2])/6 - (53*t[3])/12 + 
       (361*t[4])/48 - (53*t[5])/6 + 19*t[6] + 6*t[7] + (181*t[8])/6 + 
       (17*t[9])/6 - (733*t[10])/32 + (227*t[11])/24 - (113*t[12])/32 + 
       (703*t[13])/144 + (6719*t[14])/576 - (523*t[15])/288 - t[25]/3 + 
       (5*t[26])/3 - (5*t[27])/3 + (4*t[28])/3 + (2*t[29])/3 - (8*t[30])/3 - 
       (4*t[31])/3 + t[34]/6 + 4*t[35] + 3*t[36] - t[38] - (5*t[39])/6 + 
       t[40]/3 - t[41]/12 + t[42]/12 + t[43]/3 - (2*t[44])/3 - 2*t[45] - 
       (47*t[46])/12 + 4*t[47] + (21*t[48])/2 - (39*t[49])/32 + (5*t[50])/2 - 
       (511*t[51])/192 + (8*t[52])/3 - (89*t[53])/32 - (71*t[54])/16 + 
       (5*t[58])/6 - (2*t[59])/3 + (299*t[60])/48 + (213*t[61])/16 + 
       (1363*t[62])/96 - (33*t[63])/32 - (1357*t[64])/96 + (2837*t[65])/144 + 
       (75*t[66])/16 + 2*t[72] + 4*t[75] - (77*t[76])/6 - (23*t[77])/6 + 
       (55*t[78])/3 - 6*t[79] - t[80] - (14*t[81])/3 + (19*t[82])/6 - 
       (15*t[83])/2 + (781*t[84])/48 + (293*t[85])/48 + (22*t[86])/3 + 
       (223*t[87])/16 + (287*t[88])/32 + (953*t[89])/96 - 2*t[95] - 3*t[96] - 
       (17*t[97])/6 - 40*t[98] + 35*t[99] + (57*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((49*t[1])/24 + (163*t[2])/12 + (163*t[3])/32 - (847*t[4])/96 + 
       (365*t[5])/48 + (1177*t[6])/192 + (1631*t[7])/96 + (2207*t[8])/96 + 
       (211*t[9])/12 - (2509*t[10])/192 - (4459*t[11])/192 - 
       (259*t[12])/192 - (22253*t[13])/1728 - (981*t[14])/128 - 
       (553*t[15])/36 + t[16]/2 - (3*t[17])/4 + t[18] - t[19]/2 + 
       (5*t[21])/2 + 5*t[22] - (5*t[23])/2 + t[24] + (3*t[25])/2 + 
       (10*t[26])/3 + (7*t[27])/3 + (29*t[28])/6 + (127*t[29])/24 + 
       (37*t[30])/12 - t[31] + (11*t[32])/3 - (25*t[33])/6 - (55*t[34])/12 + 
       t[35]/2 + (3*t[36])/2 + (3*t[38])/2 + (19*t[39])/3 - (37*t[40])/12 + 
       (37*t[41])/24 - (25*t[42])/24 - (439*t[43])/96 + (49*t[44])/48 - 
       (755*t[45])/48 + (13*t[46])/4 + (223*t[47])/8 + (2137*t[48])/192 - 
       (2449*t[49])/192 + (327*t[50])/64 - (53*t[51])/384 - (325*t[52])/192 + 
       (2497*t[53])/192 + (589*t[54])/192 + (3*t[56])/4 + (3*t[57])/2 + 
       (4*t[58])/3 + (5*t[59])/8 + (67*t[60])/96 - (4039*t[61])/96 - 
       (1723*t[62])/192 - (11653*t[63])/192 - (797*t[64])/64 + 
       (10715*t[65])/288 + (9415*t[66])/288 - t[67]/4 - (3*t[68])/4 - t[70] + 
       t[71] + 4*t[73] + (9*t[74])/2 + (3*t[75])/2 - (59*t[76])/6 + 
       (9*t[77])/4 + (19*t[78])/12 - (25*t[79])/4 + (61*t[80])/3 - 
       (23*t[81])/4 + t[82]/2 - 17*t[83] + (171*t[84])/32 - (1027*t[85])/96 + 
       (165*t[86])/4 + (1379*t[87])/96 + (1379*t[88])/192 + (1315*t[89])/64 - 
       t[91]/24 - t[92]/4 + t[93]/2 + t[94]/4 - (19*t[97])/12 - 40*t[98] + 
       35*t[99] + (57*t[100])/2) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      ((33*t[1])/16 + (201*t[2])/16 + (17*t[3])/32 - (1125*t[4])/32 + 
       (9*t[5])/32 - (23*t[6])/64 + (75*t[7])/4 + (303*t[8])/16 - 
       (115*t[9])/16 - (1189*t[10])/64 + (355*t[11])/64 + (457*t[12])/64 - 
       (2639*t[13])/144 - (10199*t[14])/384 + (119*t[15])/32 + t[16]/8 - 
       (7*t[17])/8 - t[18]/2 - t[20]/2 + t[21]/2 + (13*t[22])/2 - 
       (3*t[23])/2 - (7*t[24])/4 + 2*t[25] + (7*t[26])/2 - (5*t[28])/2 + 
       (21*t[29])/8 + (27*t[30])/4 + t[31]/2 + (17*t[32])/4 - 6*t[33] + 
       (11*t[34])/8 + 2*t[35] - (19*t[36])/4 - 5*t[37] - (3*t[38])/2 + 
       3*t[39] - (31*t[40])/8 - t[41]/16 + t[42]/16 - t[43]/8 + 
       (83*t[44])/16 - (49*t[45])/8 + (67*t[46])/8 + (89*t[47])/8 + 
       (831*t[48])/64 - (563*t[49])/64 + (819*t[50])/64 - (371*t[51])/128 - 
       (363*t[52])/64 + (579*t[53])/64 - (157*t[54])/64 + t[56] + 
       (5*t[57])/2 + t[58]/2 - (13*t[59])/8 - (923*t[60])/16 - 
       (743*t[61])/16 + (507*t[62])/32 - (879*t[63])/32 + (3739*t[64])/32 + 
       (919*t[65])/24 + (1141*t[66])/12 + t[67]/8 - (9*t[69])/2 + t[70]/2 - 
       t[71]/2 - 7*t[72] + 2*t[73] + (53*t[74])/4 + (5*t[75])/2 - t[76]/2 - 
       t[77]/2 - t[78]/2 + (11*t[79])/2 + (71*t[80])/4 - (91*t[81])/8 + 
       (17*t[82])/2 - (43*t[83])/4 - (39*t[84])/8 - (219*t[85])/16 + 
       40*t[86] + (667*t[87])/16 + (667*t[88])/32 + (289*t[89])/32 - 
       t[92]/4 - t[93] - t[94]/4 - t[97]/2 + 6*t[98] - 20*t[99] + 
       (119*t[100])/4) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-15*t[1])/16 + (25*t[2])/8 - (233*t[3])/32 - (179*t[4])/16 + 
       (357*t[5])/64 + (275*t[6])/64 - (33*t[7])/32 - (195*t[8])/32 - 
       (619*t[9])/64 + (609*t[10])/16 + (897*t[11])/64 + (553*t[12])/64 + 
       (811*t[13])/64 + (1373*t[14])/192 + (2497*t[15])/384 - t[16]/4 + 
       (3*t[25])/4 + (37*t[26])/8 + (9*t[27])/4 + 6*t[28] - (3*t[29])/4 - 
       (11*t[30])/4 + (5*t[31])/2 + t[32]/2 - t[33]/2 - (7*t[34])/8 - 
       5*t[35] - (25*t[36])/4 - t[37] - (11*t[38])/8 + 9*t[39] - 
       (51*t[40])/8 + (7*t[41])/16 - (7*t[42])/16 - (5*t[43])/16 + 
       (45*t[44])/8 + (91*t[45])/16 + (3*t[46])/8 - (87*t[47])/8 + 
       (419*t[48])/64 - (163*t[49])/32 + (399*t[50])/64 + (45*t[51])/64 - 
       (215*t[52])/64 + (275*t[53])/32 - (655*t[54])/64 + (5*t[58])/8 + 
       (23*t[59])/16 + (261*t[60])/32 - (181*t[61])/32 - (37*t[62])/64 - 
       (2987*t[63])/64 + (1243*t[64])/64 + (959*t[65])/96 - (997*t[66])/32 - 
       t[67]/8 - (5*t[68])/4 - (9*t[69])/2 - t[72]/2 + 10*t[73] + 10*t[74] - 
       (9*t[75])/2 + (13*t[76])/4 + (21*t[77])/4 + (87*t[78])/8 + 3*t[79] - 
       (21*t[80])/2 - 6*t[81] - (23*t[82])/8 - (65*t[83])/4 + 
       (317*t[84])/32 - (305*t[85])/32 - (253*t[86])/8 + (857*t[87])/32 + 
       (985*t[88])/64 + (921*t[89])/64 - t[91]/24 - t[93]/2 - t[95]/2 + 
       t[96]/4 - t[97]/8 + 6*t[98] - 20*t[99] + (119*t[100])/4) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*(78*t[2] - 2*t[3] - 
       124*t[4] + (153*t[5])/2 - 263*t[6] - 158*t[7] - 273*t[8] - 
       (259*t[9])/2 + 252*t[10] + 21*t[11] - (7*t[12])/2 - (458*t[13])/9 - 
       (359*t[14])/6 - (529*t[15])/12 + 6*t[17] - 20*t[21] + 16*t[23] - 
       12*t[24] - 108*t[31] + 4*t[41] - 4*t[42] + 164*t[45] - 188*t[47] + 
       92*t[48] - 12*t[49] + 92*t[50] + 6*t[51] - 92*t[52] + 12*t[53] - 
       56*t[54] - 199*t[60] - 7*t[61] - (157*t[62])/2 + (601*t[63])/2 + 
       (291*t[64])/2 - (116*t[65])/3 + (59*t[66])/3 - 4*t[69] + 20*t[70] - 
       20*t[71] + 102*t[79] - 8*t[80] - 50*t[81] + 50*t[82] + 12*t[83] + 
       t[84] - 172*t[85] - 26*t[86] + 194*t[87] + 97*t[88] + (23*t[89])/2 + 
       30*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*(-t[1]/2 - (9*t[2])/2 - (15*t[4])/4 - 
       (353*t[5])/24 + (95*t[6])/24 - (65*t[7])/4 - (331*t[8])/12 - 
       (49*t[9])/8 + (989*t[10])/24 - (185*t[11])/24 - (13*t[12])/12 + 
       (803*t[13])/72 + (1171*t[14])/144 + (179*t[15])/48 + (2*t[24])/3 + 
       (5*t[27])/3 - t[28]/3 - (2*t[29])/3 - t[30]/3 + (35*t[31])/3 + 
       6*t[35] - t[36] - 2*t[37] + t[39]/3 - t[40] + t[43] + (5*t[44])/3 + 
       8*t[45] - t[46]/2 - 24*t[47] - (215*t[48])/24 + (11*t[49])/8 - 
       (83*t[50])/24 + (113*t[51])/48 + (83*t[52])/24 - (11*t[53])/8 - 
       (23*t[54])/24 - 2*t[59] + (529*t[60])/24 - (173*t[61])/12 + 
       (259*t[62])/16 - (451*t[63])/16 - (559*t[64])/12 - (101*t[65])/9 - 
       (3389*t[66])/72 + t[69] + (8*t[72])/3 - 3*t[73] + 3*t[74] - t[75]/2 - 
       2*t[76] + (5*t[77])/4 + 2*t[78] - (7*t[79])/4 - (23*t[80])/2 + 
       (53*t[81])/12 - (19*t[82])/12 - (23*t[83])/6 - (43*t[84])/12 + 
       (75*t[85])/8 - (81*t[86])/4 - (425*t[87])/24 - (473*t[88])/48 - 
       (157*t[89])/48 - 14*t[98] + 11*t[99] + (61*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((3*t[1])/2 - (19*t[2])/12 + (235*t[3])/12 - (203*t[4])/8 + 
       (199*t[5])/24 - (75*t[6])/2 + (111*t[7])/16 - (2147*t[8])/48 - 
       (457*t[9])/16 + (1151*t[10])/24 - (3521*t[11])/48 - (229*t[12])/48 - 
       (66203*t[13])/864 - (3629*t[14])/96 + (715*t[15])/96 - (11*t[17])/4 - 
       (14*t[18])/9 - 3*t[19] + (25*t[21])/6 - t[22]/3 - 5*t[23] + 
       (19*t[24])/6 - (3*t[31])/2 - (4*t[34])/3 - (35*t[35])/2 + 
       (17*t[37])/2 - t[38]/2 - (29*t[41])/12 + (5*t[42])/3 + (97*t[43])/48 + 
       7*t[44] + (215*t[45])/24 + (17*t[46])/2 - (223*t[47])/12 + 
       (205*t[48])/48 + (23*t[49])/48 + (65*t[50])/48 - (319*t[51])/96 - 
       (17*t[52])/48 - (23*t[53])/48 - (7*t[54])/48 - t[58]/2 - (5*t[59])/6 - 
       (475*t[60])/24 - (805*t[61])/8 + (1211*t[62])/24 + (529*t[63])/24 - 
       (525*t[64])/16 - (733*t[65])/72 + (629*t[66])/6 + (3*t[67])/4 + 
       t[69]/2 - 2*t[70] + 2*t[71] + (31*t[74])/6 + 2*t[75] - (7*t[76])/3 + 
       (5*t[78])/3 + (37*t[79])/2 - (107*t[80])/6 - (13*t[81])/12 + 
       (53*t[82])/12 - (45*t[83])/4 - (17*t[84])/24 - (49*t[85])/12 - 
       (119*t[86])/6 - (22*t[87])/3 - (11*t[88])/3 - (107*t[89])/16 - 
       t[92]/6 - (2*t[94])/3 - 8*t[98] + 2*t[99] + (123*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-11*t[1])/4 - (3*t[2])/2 - (41*t[3])/8 + (189*t[4])/8 - (4*t[5])/3 + 
       (61*t[6])/8 - (247*t[7])/24 - (353*t[8])/24 + (27*t[9])/8 + 
       (151*t[10])/4 - (31*t[11])/3 - (49*t[12])/8 + (799*t[13])/432 + 
       (1579*t[14])/288 + (167*t[15])/18 - t[16]/2 + (7*t[25])/6 + 
       (4*t[26])/3 + 6*t[28] + 6*t[31] - 6*t[35] - (53*t[36])/6 - 
       (5*t[37])/6 - (5*t[38])/2 + 6*t[39] - (11*t[40])/2 + 6*t[45] + 
       (19*t[46])/2 - 12*t[47] - (19*t[48])/24 + (59*t[49])/12 - 
       (137*t[50])/24 - (253*t[51])/96 + (89*t[52])/24 - (14*t[53])/3 + 
       (16*t[54])/3 + t[59]/3 + (23*t[60])/3 + (64*t[61])/3 + 
       (597*t[62])/16 - (1349*t[63])/48 - (527*t[64])/8 - 18*t[65] - 
       (122*t[66])/9 + (2*t[70])/3 - (2*t[71])/3 + (23*t[74])/6 + 7*t[75] - 
       (5*t[76])/6 + (13*t[77])/2 + (14*t[78])/3 - 5*t[79] - (41*t[80])/3 + 
       (79*t[81])/12 - (107*t[82])/12 - 12*t[83] - (3*t[84])/4 - 
       (49*t[85])/8 - 77*t[86] - (577*t[87])/24 - (163*t[88])/16 + 
       (503*t[89])/48 + t[95]/3 + t[96]/3 + t[97] - 8*t[98] + 2*t[99] + 
       (123*t[100])/4) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      (-t[1] + (19*t[2])/6 - (25*t[3])/3 - (65*t[4])/6 - (2*t[5])/3 + 
       (33*t[6])/2 + (7*t[7])/4 + (295*t[8])/12 - (7*t[9])/12 - 
       (93*t[10])/4 - (34*t[11])/3 - (13*t[12])/4 + (107*t[13])/24 - 
       (13*t[14])/18 + (647*t[15])/72 + (4*t[25])/3 + (4*t[26])/3 - 
       (4*t[27])/3 + (14*t[28])/3 + (4*t[29])/3 - (10*t[30])/3 + 
       (22*t[31])/3 - (2*t[34])/3 + 6*t[35] + t[37] - 2*t[38] + 
       (10*t[39])/3 - (10*t[40])/3 + t[41]/3 - t[42]/3 + (2*t[43])/3 - 
       (4*t[44])/3 + 2*t[45] + (7*t[46])/6 - 4*t[47] + (21*t[48])/2 - 
       4*t[49] - 5*t[50] - (8*t[51])/3 + (25*t[52])/3 + (5*t[53])/2 + 
       (15*t[54])/2 + (2*t[58])/3 - (7*t[59])/3 + (37*t[60])/12 + 
       (39*t[61])/4 + (305*t[62])/6 - (41*t[63])/2 - (245*t[64])/24 + 
       (943*t[65])/36 + (49*t[66])/4 + 4*t[74] + 11*t[75] - (26*t[76])/3 + 
       (4*t[77])/3 + (62*t[78])/3 - 10*t[79] - 9*t[80] + (7*t[81])/6 + 
       (5*t[82])/6 - 25*t[83] + (23*t[84])/3 - (11*t[85])/12 - 
       (136*t[86])/3 + (19*t[87])/4 + (19*t[88])/8 + (553*t[89])/24 - 
       (2*t[97])/3 - 44*t[98] + 44*t[99] + 31*t[100]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*((13*t[1])/6 + (11*t[2])/6 + 
       (47*t[3])/4 + (143*t[4])/24 - (961*t[5])/48 + (89*t[6])/6 - 
       (127*t[7])/24 + (23*t[8])/24 + (1339*t[9])/48 - (1993*t[10])/48 - 
       (467*t[11])/24 + (43*t[12])/6 - (8099*t[13])/432 - (1267*t[14])/96 - 
       (6809*t[15])/288 + (4*t[26])/3 - (8*t[27])/3 + (41*t[28])/6 + 
       (8*t[29])/3 - (17*t[30])/3 - t[31]/2 + (8*t[32])/3 - (8*t[33])/3 - 
       (4*t[34])/3 + 4*t[35] + (19*t[39])/3 - (16*t[40])/3 + (2*t[41])/3 - 
       (2*t[42])/3 - (5*t[43])/3 - (25*t[44])/6 - (17*t[45])/3 - 
       (7*t[46])/4 + (29*t[47])/2 + (193*t[48])/12 - (121*t[49])/48 - 
       t[50]/4 + (43*t[51])/96 + (83*t[52])/12 + (121*t[53])/48 + 
       (161*t[54])/24 + (4*t[58])/3 - t[59]/2 - (95*t[60])/6 - (98*t[61])/3 + 
       (275*t[62])/12 - (427*t[63])/12 + (117*t[64])/4 + (115*t[65])/36 + 
       (419*t[66])/36 - (28*t[76])/3 - 3*t[77] + (16*t[78])/3 - (5*t[80])/3 - 
       4*t[81] + (9*t[82])/2 + 2*t[84] - (26*t[85])/3 + 3*t[86] + 
       (58*t[87])/3 + (29*t[88])/3 + (17*t[89])/2 - (4*t[97])/3 - 76*t[98] + 
       76*t[99] + 31*t[100]) + HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      (-t[1] + (29*t[2])/6 - (319*t[3])/24 + (5*t[4])/24 - (29*t[5])/24 + 
       (119*t[6])/4 + (3*t[7])/2 + (557*t[8])/12 - (67*t[9])/24 - 
       (197*t[10])/16 - (67*t[11])/24 - (79*t[12])/16 + (115*t[13])/48 + 
       (7147*t[14])/288 + (1085*t[15])/144 + (8*t[25])/3 + (5*t[26])/3 - 
       (11*t[27])/3 + (29*t[28])/6 + (19*t[29])/6 - (14*t[30])/3 + 
       (13*t[31])/6 - (4*t[34])/3 + 5*t[35] + (5*t[36])/2 - 3*t[38] + 
       (13*t[39])/6 - (13*t[40])/6 + (2*t[41])/3 - (2*t[42])/3 + 
       (4*t[43])/3 - (8*t[44])/3 - t[45] + t[46]/3 + 2*t[47] + 
       (167*t[48])/8 + (113*t[49])/16 - (19*t[50])/8 - (899*t[51])/96 + 
       (217*t[52])/24 - (129*t[53])/16 + 6*t[54] + (4*t[58])/3 + 
       (5*t[59])/6 + (97*t[60])/24 + (433*t[61])/8 + (119*t[62])/3 + 
       (37*t[63])/4 - (1973*t[64])/48 + (1681*t[65])/72 + (167*t[66])/24 - 
       t[72] + (3*t[74])/2 + 12*t[75] - (46*t[76])/3 - (11*t[77])/6 + 
       (88*t[78])/3 - 16*t[79] - 2*t[80] - (17*t[81])/12 - (19*t[82])/12 - 
       19*t[83] + (37*t[84])/3 - (179*t[85])/24 - (143*t[86])/3 + 
       (129*t[87])/8 + (129*t[88])/16 + (889*t[89])/48 - (4*t[97])/3 - 
       76*t[98] + 76*t[99] + 31*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*(-t[1]/2 + (131*t[2])/32 + 
       (73*t[3])/96 - (1003*t[4])/96 - (193*t[5])/72 + (3553*t[6])/576 - 
       (73*t[7])/32 + (2327*t[8])/288 + (2323*t[9])/144 - (101*t[10])/64 - 
       (13699*t[11])/576 + (2899*t[12])/576 - (4759*t[13])/216 - 
       (5219*t[14])/3456 - (8443*t[15])/864 - t[19]/2 - t[20]/2 + t[22]/2 - 
       (5*t[24])/18 - t[27]/3 + (13*t[28])/6 + (49*t[29])/12 - 
       (167*t[30])/24 - (16*t[31])/9 + (3*t[32])/8 + t[33]/8 + (5*t[34])/4 + 
       2*t[35] - t[36]/2 + t[37] + (4*t[39])/3 - t[41]/2 + t[42]/2 - 
       (47*t[43])/36 + t[44]/6 - (3*t[45])/2 + (7*t[46])/4 + (29*t[47])/6 + 
       (4231*t[48])/576 + (2215*t[49])/576 - (1777*t[50])/576 - 
       (4255*t[51])/1152 + (1777*t[52])/576 - (2215*t[53])/576 + 
       (977*t[54])/192 - (73*t[60])/96 - (6235*t[61])/288 - 
       (3103*t[62])/576 + (6553*t[63])/192 + (109*t[64])/64 + 
       (28025*t[65])/864 + (15491*t[66])/432 - t[69]/2 - (4*t[72])/3 + 
       2*t[73] - (5*t[74])/2 + (15*t[75])/2 + 2*t[76] + 2*t[78] + 
       (145*t[79])/48 - 2*t[80] - t[81]/3 - t[82]/12 - (287*t[83])/36 + 
       (3049*t[84])/288 + (869*t[85])/288 + (893*t[86])/144 - 
       (1607*t[87])/288 - (455*t[88])/576 + (2611*t[89])/192 + 20*t[98] - 
       20*t[99] + (763*t[100])/24) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*(-t[1]/8 - (75*t[2])/8 + (227*t[3])/16 - 
       (4019*t[4])/96 + (719*t[5])/32 - (71*t[6])/4 + (131*t[7])/24 - 
       (367*t[8])/8 - (3581*t[9])/96 + (4897*t[10])/192 - (757*t[11])/24 + 
       (633*t[12])/64 - (8399*t[13])/288 - (4631*t[14])/384 + 
       (2455*t[15])/288 - (5*t[17])/6 - (25*t[18])/18 + 2*t[19] - 
       (3*t[21])/2 - (2*t[22])/3 + (11*t[23])/6 + (2*t[24])/3 - (3*t[25])/2 + 
       (3*t[26])/4 + t[27]/2 - (5*t[29])/6 + (17*t[30])/12 + (29*t[31])/6 - 
       t[32]/2 + t[33]/2 - (29*t[34])/12 - (11*t[35])/6 - (5*t[36])/4 - 
       t[37]/3 + (11*t[38])/12 - t[39]/2 + (7*t[40])/4 - t[41]/24 - 
       (11*t[42])/24 + (79*t[43])/16 + (29*t[44])/6 + (337*t[45])/24 + 
       (203*t[46])/48 - (91*t[47])/4 - (25*t[48])/4 - (331*t[49])/64 - 
       (23*t[50])/12 + (757*t[51])/384 + t[52]/3 + (1013*t[53])/192 + 
       (637*t[54])/96 - t[58]/3 + (13*t[59])/8 - (1769*t[60])/96 - 
       (5087*t[61])/96 + (1757*t[62])/192 + (557*t[63])/64 - (631*t[64])/64 - 
       (2695*t[65])/288 + (9031*t[66])/288 + t[67]/12 + (5*t[69])/2 + 
       (2*t[70])/3 - (2*t[71])/3 + (5*t[72])/3 - (29*t[74])/6 - (7*t[75])/3 - 
       (17*t[76])/12 - t[77]/3 - 6*t[78] + (22*t[79])/3 - 21*t[80] - 
       (37*t[81])/12 + (7*t[82])/3 + t[83] - (473*t[84])/96 + 
       (131*t[85])/96 - (55*t[86])/12 - (57*t[87])/32 - (57*t[88])/64 - 
       (635*t[89])/192 + t[94]/3 - t[97]/2 - (15*t[98])/2 - t[99]/2 + 
       (129*t[100])/4) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((73*t[1])/12 - (43*t[2])/4 + (669*t[3])/16 - (985*t[4])/24 + 
       (2359*t[5])/96 - (2323*t[6])/144 - (139*t[7])/16 - (241*t[8])/16 - 
       (11027*t[9])/96 + (1991*t[10])/24 - (467*t[11])/48 - (155*t[12])/32 + 
       (2321*t[13])/288 - (4075*t[14])/48 + (26369*t[15])/576 - 
       (11*t[17])/2 - (5*t[18])/6 + t[19] + 12*t[20] - t[21] - 9*t[22] + 
       t[23] - (8*t[24])/3 + 3*t[27] - (25*t[28])/2 - 6*t[29] + 5*t[30] + 
       (13*t[31])/3 - (17*t[32])/6 - (25*t[33])/6 - (58*t[34])/3 - 12*t[35] - 
       (19*t[37])/2 + (29*t[38])/6 - (35*t[39])/6 + (125*t[40])/12 - 
       (19*t[41])/12 + (49*t[42])/36 - (53*t[43])/8 + (13*t[44])/2 - 
       (47*t[45])/2 + (29*t[46])/4 + (355*t[47])/12 - (56*t[48])/3 - 
       (1145*t[49])/48 + (287*t[50])/12 + (1523*t[51])/96 - (149*t[52])/4 + 
       (1145*t[53])/48 - (115*t[54])/8 - (5*t[56])/6 - 2*t[57] - 
       (791*t[59])/72 - (161*t[60])/8 - (79*t[61])/6 + (147*t[62])/8 - 
       (5033*t[63])/24 - (1627*t[64])/12 + (1367*t[65])/72 - (773*t[66])/24 - 
       t[68]/2 - t[69] - (5*t[70])/2 + (5*t[71])/2 + (15*t[72])/2 - 4*t[73] - 
       (11*t[74])/2 + (3*t[75])/2 - (323*t[76])/12 - (8*t[77])/3 - 
       (34*t[78])/3 + (3*t[79])/2 + (4*t[80])/3 - (33*t[81])/4 + 
       (31*t[82])/3 + (551*t[83])/12 - (317*t[84])/12 - (239*t[85])/12 - 
       (1303*t[86])/12 + (91*t[87])/2 + (91*t[88])/4 - (1051*t[89])/48 - 
       (53*t[97])/12 - 160*t[98] + 169*t[99] + (65*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-13*t[1])/3 + (95*t[2])/12 + (35*t[3])/2 - (295*t[4])/16 + 
       (47*t[5])/6 - (71*t[6])/12 - (101*t[7])/6 + (161*t[8])/12 - 
       (457*t[9])/12 - (3011*t[10])/96 - (217*t[11])/12 - (179*t[12])/96 - 
       (6445*t[13])/432 - (18511*t[14])/576 + (4081*t[15])/288 + t[19]/3 + 
       (3*t[26])/2 - 11*t[28] - 4*t[29] - t[30] - 3*t[31] - t[32] + t[33] + 
       (17*t[34])/6 + t[35] + (2*t[37])/3 - (35*t[38])/12 - (53*t[39])/12 + 
       (11*t[40])/2 - (17*t[41])/12 + (17*t[42])/12 + 2*t[43] - (7*t[44])/2 - 
       t[45] + (113*t[46])/12 + t[47] - (35*t[48])/12 - (239*t[49])/32 + 
       (40*t[50])/3 - (487*t[51])/64 - (21*t[52])/2 + (101*t[53])/96 + 
       (601*t[54])/48 - (7*t[59])/12 - (2417*t[60])/48 - (487*t[61])/48 + 
       (1101*t[62])/32 - (2111*t[63])/96 + (1175*t[64])/32 + 
       (1325*t[65])/16 + (4201*t[66])/144 - 3*t[68] - 7*t[69] + (3*t[72])/2 + 
       13*t[73] + 2*t[74] + 28*t[75] - (5*t[76])/6 - (7*t[77])/3 + 
       (13*t[78])/2 + (9*t[79])/2 + (25*t[80])/3 + (10*t[81])/3 + 
       (53*t[82])/6 + 10*t[83] + (455*t[84])/48 + (47*t[85])/48 - 
       (9*t[86])/2 + (505*t[87])/16 + (521*t[88])/32 + (1897*t[89])/96 - 
       (11*t[96])/2 - (11*t[97])/3 - 160*t[98] + 169*t[99] + (65*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (t[1] + (5*t[2])/2 + (5*t[3])/2 + (11*t[4])/2 + 11*t[5] + (25*t[6])/4 + 
       (25*t[7])/4 + (81*t[8])/4 + 10*t[9] - 42*t[10] + (37*t[11])/2 - 
       (7*t[12])/4 + (59*t[13])/72 + (31*t[14])/24 - (283*t[15])/24 - 
       2*t[19] + 2*t[21] - 2*t[23] - 2*t[30] - 8*t[31] - 12*t[35] + 4*t[37] - 
       t[41] + t[42] - t[43]/4 - 4*t[44] - 7*t[45] - 7*t[46] + 30*t[47] + 
       (15*t[48])/2 + (13*t[49])/4 - (3*t[50])/2 + t[51]/8 + (3*t[52])/2 - 
       (13*t[53])/4 - 2*t[54] + 6*t[60] + 26*t[61] - 43*t[62] + 
       (19*t[63])/2 + (175*t[64])/2 + (43*t[65])/3 - (16*t[66])/3 - 2*t[73] - 
       4*t[74] + 4*t[75] - 4*t[77] + 4*t[79] + 18*t[80] + 5*t[82] - 8*t[83] - 
       t[84] + t[85] + 28*t[86] - 3*t[87] - (3*t[88])/2 + 7*t[89] - 8*t[99] + 
       (98*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*((27*t[1])/4 + (23*t[2])/4 + (39*t[3])/8 - 
       (305*t[4])/8 + (483*t[5])/16 + 18*t[6] + (145*t[7])/8 + (101*t[8])/8 - 
       (721*t[9])/16 - (1203*t[10])/16 - (75*t[11])/8 - 40*t[12] + 
       (55*t[13])/9 - (4655*t[14])/96 + (423*t[15])/32 + 3*t[21] - 3*t[23] + 
       3*t[31] + 10*t[35] - 4*t[37] - (5*t[41])/2 + (5*t[42])/2 + 
       (103*t[43])/8 - (3*t[44])/2 - (17*t[45])/2 + (25*t[46])/4 + 
       (13*t[47])/2 + 3*t[48] - (271*t[49])/16 - (5*t[50])/2 + 
       (181*t[51])/32 + (5*t[52])/2 + (271*t[53])/16 + (89*t[54])/8 - 
       (17*t[59])/4 - (185*t[60])/4 - (67*t[61])/2 + (9*t[62])/8 - 
       (553*t[63])/8 + (613*t[64])/4 + (140*t[65])/3 + (147*t[66])/4 - 
       16*t[69] + 8*t[70] - 8*t[71] - 6*t[73] + (25*t[74])/2 + (9*t[75])/2 - 
       6*t[76] + 6*t[78] - 2*t[79] + 46*t[80] - (17*t[81])/2 + (17*t[82])/2 + 
       (23*t[83])/2 - 4*t[84] - (65*t[85])/4 + (155*t[86])/2 + 
       (197*t[87])/4 + (197*t[88])/8 + (249*t[89])/8 - 36*t[98] + 42*t[99] + 
       (67*t[100])/2) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
      ((19*t[1])/12 - (7*t[2])/12 + (171*t[3])/16 - (19*t[4])/12 - 
       (1105*t[5])/96 + (197*t[6])/48 + (119*t[7])/48 - (679*t[8])/48 + 
       (2713*t[9])/96 - (2483*t[10])/48 - (371*t[11])/48 + (881*t[12])/96 - 
       (10835*t[13])/864 - (1073*t[14])/96 - (11611*t[15])/576 + 
       (2*t[26])/3 - (4*t[27])/3 + (20*t[28])/3 + (4*t[29])/3 - 
       (19*t[30])/3 + (4*t[32])/3 - (4*t[33])/3 - (2*t[34])/3 + 6*t[35] + 
       (14*t[39])/3 - (14*t[40])/3 + t[41]/3 - t[42]/3 + (7*t[43])/24 - 
       (4*t[44])/3 - (109*t[45])/12 - (3*t[46])/2 + (39*t[47])/2 + 
       (125*t[48])/12 - (11*t[49])/12 - t[50]/4 + t[51]/12 + (43*t[52])/12 + 
       (11*t[53])/12 + (41*t[54])/12 + (2*t[58])/3 + t[59]/4 - (35*t[60])/3 - 
       (101*t[61])/6 + (41*t[62])/24 - (577*t[63])/24 + (367*t[64])/8 + 
       (43*t[65])/72 - (187*t[66])/72 - (14*t[76])/3 + (3*t[77])/2 + 
       (8*t[78])/3 + (85*t[80])/6 - 2*t[81] + (15*t[82])/4 + t[84] - 
       (13*t[85])/3 + (53*t[86])/2 + (29*t[87])/3 + (29*t[88])/6 + 
       (3*t[89])/2 - (2*t[97])/3 - 50*t[98] + 52*t[99] + (69*t[100])/2) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*((-3*t[1])/2 + 
       (107*t[2])/12 - (85*t[3])/12 - (157*t[4])/48 - (79*t[5])/24 + 
       (111*t[6])/8 + (3*t[7])/4 + (361*t[8])/12 - (17*t[9])/24 - 
       (27*t[10])/32 - (34*t[11])/3 - (307*t[12])/32 - (607*t[13])/144 + 
       (4909*t[14])/576 + (3229*t[15])/288 - (8*t[19])/3 - 2*t[20] - 
       3*t[21] + 2*t[22] + 3*t[23] + (4*t[25])/3 + (11*t[26])/6 - 
       (4*t[27])/3 + (8*t[28])/3 + (10*t[29])/3 - (13*t[30])/3 + 
       (4*t[31])/3 - (2*t[34])/3 + 9*t[35] + 3*t[36] + 2*t[37] - 
       (5*t[38])/2 + (4*t[39])/3 - (4*t[40])/3 - (8*t[41])/3 + (8*t[42])/3 + 
       (2*t[43])/3 - (4*t[44])/3 + t[45] + (29*t[46])/12 - 3*t[47] + 
       (101*t[48])/8 + (111*t[49])/32 + (9*t[50])/8 - (1733*t[51])/192 + 
       (53*t[52])/24 - (127*t[53])/32 - (55*t[54])/16 + (2*t[58])/3 + 
       (11*t[59])/12 - (383*t[60])/48 + (499*t[61])/16 + (3377*t[62])/96 + 
       (373*t[63])/32 - (6635*t[64])/96 + (5047*t[65])/144 + (859*t[66])/48 + 
       t[69] - 2*t[72] + 3*t[74] + 9*t[75] - (29*t[76])/3 - (2*t[77])/3 + 
       (68*t[78])/3 - (35*t[79])/2 - 4*t[80] - (11*t[81])/6 - (5*t[82])/3 - 
       (13*t[83])/2 + (443*t[84])/48 + (43*t[85])/48 - (209*t[86])/6 + 
       (297*t[87])/16 + (297*t[88])/32 + (883*t[89])/96 - (2*t[97])/3 - 
       50*t[98] + 52*t[99] + (69*t[100])/2) + HPL[{0, 1, 1}, 1 - u]*
      Omega2[w, u, v]*((5*t[3])/2 + t[4] - (3*t[5])/4 - t[6]/2 + t[7]/2 - 
       (9*t[8])/2 + (3*t[9])/4 - (5*t[10])/2 + t[11]/2 + (7*t[12])/4 - 
       t[13]/4 - (23*t[14])/4 - (41*t[15])/24 + 2*t[29] + 8*t[60] - 3*t[61] - 
       2*t[62] + 2*t[64] - (13*t[65])/3 - t[66] + t[82] - 4*t[83] - 4*t[87] - 
       2*t[88] - 4*t[99] + (71*t[100])/2) + HPL[{0, 1, 1}, 1 - w]*
      Omega2[w, u, v]*(-t[1]/2 - (17*t[2])/2 + (33*t[3])/4 - (91*t[4])/4 + 
       (225*t[5])/8 + (25*t[6])/4 - (15*t[7])/4 + (79*t[8])/4 - 
       (185*t[9])/8 - (101*t[10])/8 - (51*t[11])/2 + t[12]/2 - 
       (245*t[13])/18 - (1439*t[14])/48 - (475*t[15])/48 + (4*t[19])/3 + 
       2*t[21] - 2*t[23] + 2*t[30] + t[37] - 2*t[39] + 2*t[41] - 2*t[42] - 
       (3*t[43])/2 - 2*t[44] - 4*t[45] + 10*t[47] + (43*t[48])/4 - t[49]/8 - 
       (33*t[50])/4 + t[51]/16 + (33*t[52])/4 + t[53]/8 + (23*t[54])/2 - 
       (67*t[60])/4 - (121*t[61])/4 - (11*t[62])/4 - (49*t[63])/4 + 
       (641*t[64])/8 + (40*t[65])/3 + (527*t[66])/12 - 2*t[69] - t[72] + 
       2*t[75] - t[77]/2 + 4*t[79] + 2*t[80] - t[81] + 5*t[82] - 13*t[83] - 
       (9*t[84])/2 - 3*t[85] + 8*t[86] + 13*t[87] + (13*t[88])/2 + 
       (101*t[89])/8 - 4*t[99] + (71*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-29*t[1])/12 + (13*t[2])/4 - (139*t[3])/72 - (515*t[4])/72 - 
       (19*t[5])/6 + (371*t[6])/48 - (1535*t[7])/144 - (4307*t[8])/144 + 
       (169*t[9])/9 - (130*t[10])/9 - (3323*t[11])/144 - (219*t[12])/16 + 
       (805*t[13])/108 - (3845*t[14])/432 - (1063*t[15])/216 + 9*t[28] - 
       t[29]/2 - (3*t[30])/2 + (35*t[31])/6 - 2*t[32] + 2*t[33] + 2*t[34] + 
       5*t[35] - t[36] - 2*t[37] - t[38] + t[39] - (17*t[40])/4 - t[41] + 
       t[42] + (25*t[43])/36 + (11*t[44])/4 - 2*t[45] + (29*t[46])/24 + 
       3*t[47] + (29*t[48])/16 - (1079*t[49])/144 + (325*t[50])/144 + 
       (787*t[51])/144 - (37*t[52])/144 + (503*t[53])/144 + (301*t[54])/144 - 
       (29*t[59])/12 + (787*t[60])/24 - (297*t[61])/8 + (1957*t[62])/72 - 
       (761*t[63])/36 - (1207*t[64])/36 + (2987*t[65])/108 + 
       (1321*t[66])/108 + 3*t[73] + (29*t[74])/12 + 7*t[75] - 2*t[76] + 
       (5*t[77])/2 + 10*t[78] - (109*t[79])/24 + 2*t[80] + (17*t[81])/12 + 
       (7*t[82])/12 - (199*t[83])/18 + (88*t[84])/9 + (589*t[85])/72 - 
       (719*t[86])/72 - (1169*t[87])/72 - (1169*t[88])/144 + 
       (1829*t[89])/144 - 3*t[96] - 2*t[97] + 16*t[98] - 13*t[99] + 
       (109*t[100])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((14*t[1])/3 + (5*t[2])/4 + (121*t[3])/36 + 
       (109*t[4])/18 + (161*t[5])/6 + (387*t[6])/16 + (2183*t[7])/72 - 
       (163*t[8])/72 - (101*t[9])/9 - (677*t[10])/72 + (2071*t[11])/144 - 
       (503*t[12])/24 - (6283*t[13])/216 - (431*t[14])/432 + 
       (1477*t[15])/108 - t[17]/2 - (16*t[19])/3 - 2*t[21] + 2*t[23] - 
       4*t[24] + 2*t[28] + (7*t[31])/2 - 2*t[35] + 4*t[37] - 3*t[41] + 
       3*t[42] - (17*t[43])/36 + 10*t[45] + (35*t[46])/6 - 16*t[47] + 
       (5*t[48])/48 + (71*t[49])/18 + (415*t[50])/144 - (269*t[51])/36 - 
       (415*t[52])/144 - (71*t[53])/18 - (2255*t[54])/144 + (25*t[59])/6 + 
       (11*t[60])/8 - (85*t[61])/24 + (221*t[62])/9 + (241*t[63])/36 - 
       (10453*t[64])/144 + (379*t[65])/216 + (15461*t[66])/216 + t[67]/2 + 
       2*t[69] + t[72] + (29*t[74])/3 - 2*t[75] - t[77]/2 - 2*t[78] - 
       (81*t[79])/4 - 13*t[80] - (5*t[81])/4 + (21*t[82])/4 - (65*t[83])/9 - 
       (17*t[84])/9 - (107*t[85])/72 - (979*t[86])/36 - (125*t[87])/72 - 
       (125*t[88])/144 - (601*t[89])/144 - t[94]/2 + (221*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u]*
      ((41*t[3])/4 + (29*t[4])/4 - (89*t[5])/4 - 6*t[6] + (61*t[7])/4 - 
       (3*t[8])/4 + (47*t[9])/4 - (15*t[10])/4 - 2*t[11] + (5*t[12])/2 + 
       (313*t[13])/16 - (83*t[14])/3 - (527*t[15])/24 - 2*t[24] - 2*t[27] - 
       7*t[28] + 14*t[29] - 8*t[30] + 10*t[31] + 12*t[35] - 6*t[37] - 
       4*t[39] - t[43] + t[44]/2 + (9*t[47])/2 + (17*t[48])/8 + (9*t[49])/4 - 
       (33*t[50])/8 - t[51]/8 + (33*t[52])/8 - (9*t[53])/4 + (17*t[54])/8 - 
       3*t[59] + (139*t[60])/8 - (87*t[61])/2 - 13*t[62] - (167*t[63])/4 + 
       (77*t[64])/8 + (151*t[65])/12 - (161*t[66])/8 + 4*t[72] - 8*t[75] + 
       (17*t[79])/4 - 2*t[81] + 4*t[82] - (47*t[83])/4 + 16*t[85] + 
       (93*t[86])/4 - 22*t[87] - 11*t[88] + (83*t[89])/8 + 3*t[99] + 
       (75*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((40*t[2])/3 - (47*t[3])/4 + 30*t[4] - 
       (37*t[5])/8 + 26*t[6] - (1529*t[7])/24 - (65*t[8])/24 + (25*t[9])/6 - 
       (275*t[10])/24 - (31*t[11])/8 - (437*t[12])/24 + (25219*t[13])/432 + 
       (1313*t[14])/36 - (413*t[15])/24 + (11*t[17])/6 + (8*t[21])/3 - 
       t[22]/3 - (10*t[23])/3 - (20*t[24])/3 + 9*t[31] - (16*t[34])/3 + 
       19*t[35] - 7*t[37] - t[38] - (7*t[41])/6 - t[42]/6 + (35*t[43])/8 - 
       12*t[44] + t[45]/4 - (89*t[46])/6 + (109*t[47])/6 - (175*t[48])/24 - 
       (31*t[49])/12 - (53*t[50])/8 + t[51] + (93*t[52])/8 + (31*t[53])/12 - 
       (121*t[54])/24 - t[58] - (23*t[59])/3 - (337*t[60])/12 - 
       (275*t[61])/4 + (715*t[62])/6 + (467*t[63])/6 - (483*t[64])/8 - 
       (1501*t[65])/36 + (229*t[66])/3 - (5*t[67])/2 - 11*t[69] + t[74]/3 + 
       4*t[75] - (14*t[76])/3 + (10*t[78])/3 - 19*t[79] - (83*t[80])/3 - 
       (7*t[81])/6 + (47*t[82])/6 - (37*t[83])/2 + (43*t[84])/12 + 
       (19*t[85])/3 - (305*t[86])/3 - (19*t[87])/6 - (19*t[88])/12 - 
       (57*t[89])/8 - t[92]/3 + (2*t[94])/3 - 16*t[98] + 4*t[99] + 
       (75*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((121*t[1])/6 - 3*t[2] + (335*t[3])/12 - 
       (307*t[4])/12 + (155*t[5])/8 - (313*t[6])/8 + (45*t[7])/4 - 
       (143*t[8])/12 - (1315*t[9])/24 - (823*t[10])/12 + (387*t[11])/8 - 
       (137*t[12])/8 + (3127*t[13])/216 - (6551*t[14])/144 - 
       (3943*t[15])/144 + (5*t[16])/6 - (32*t[25])/3 - (35*t[26])/3 - 
       14*t[28] - 14*t[31] + 14*t[35] + 14*t[36] - t[37] + (68*t[38])/3 - 
       14*t[39] + 15*t[40] - 14*t[45] - 17*t[46] + 28*t[47] - 
       (359*t[48])/24 - (191*t[49])/12 + (373*t[50])/24 + (167*t[51])/16 - 
       (469*t[52])/24 + (25*t[53])/12 - (1171*t[54])/24 - (40*t[59])/3 - 
       (193*t[60])/12 - (1235*t[61])/12 - (1511*t[62])/12 + (35*t[63])/6 + 
       (5933*t[64])/24 + (383*t[65])/9 + (433*t[66])/6 + t[67]/6 - 7*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 - 6*t[74] - 8*t[75] - (5*t[76])/3 - 
       13*t[77] - (14*t[78])/3 + 10*t[79] + (92*t[80])/3 - (50*t[81])/3 + 
       16*t[82] + (89*t[83])/2 + (17*t[84])/6 + (56*t[85])/3 + 202*t[86] + 
       (202*t[87])/3 + (148*t[88])/3 - (25*t[89])/6 - (22*t[95])/3 - 
       (22*t[96])/3 + 2*t[97] - 16*t[98] + 4*t[99] + (75*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((-1417*t[1])/12 - (989*t[2])/12 - (4325*t[3])/24 + (751*t[4])/2 - 
       (17719*t[5])/48 - (6697*t[6])/24 - (602*t[7])/3 + (862*t[8])/3 + 
       (12889*t[9])/48 + (14335*t[10])/24 + (1691*t[11])/8 + 
       (16597*t[12])/48 + (14515*t[13])/48 + (817*t[14])/4 - 
       (32443*t[15])/288 - 6*t[16] - 9*t[18] - 12*t[19] + 34*t[21] + 
       40*t[22] - (85*t[23])/3 - 8*t[24] + 122*t[25] - (9*t[26])/2 + 
       70*t[27] + 24*t[28] + 24*t[31] - 19*t[32] + 9*t[33] - (85*t[34])/6 - 
       24*t[35] - 12*t[36] + 60*t[37] - (98*t[38])/3 + 21*t[39] + 18*t[40] + 
       (105*t[41])/4 - (109*t[42])/4 - (845*t[43])/24 - 4*t[44] - 
       (775*t[45])/12 + (47*t[46])/3 + (677*t[47])/6 - (291*t[48])/4 + 
       (1945*t[49])/24 - (2105*t[50])/12 - (6865*t[51])/48 + 
       (1699*t[52])/12 - (1945*t[53])/24 - 5*t[54] - (25*t[58])/6 - 
       (851*t[59])/12 - (4697*t[60])/12 - (1240*t[61])/3 + (5527*t[62])/24 - 
       (33731*t[63])/24 - (5137*t[64])/12 - (826*t[65])/9 - (5444*t[66])/9 + 
       3*t[68] - 6*t[69] + 5*t[70] - 5*t[71] - 51*t[72] + 312*t[73] + 
       (7*t[74])/3 - 375*t[75] + (121*t[76])/6 + 2*t[77] - 275*t[78] + 
       39*t[79] + (190*t[80])/3 - (187*t[81])/6 + (29*t[82])/3 + 
       (443*t[83])/2 - (571*t[84])/3 + (164*t[85])/3 - (2233*t[86])/6 + 
       (535*t[87])/2 + (535*t[88])/4 + (527*t[89])/24 - t[91] - 6*t[93] - 
       (53*t[97])/2 + 168*t[98] - 282*t[99] + 39*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((857*t[1])/12 + (205*t[2])/4 + (157*t[3])/6 + (7409*t[4])/24 - 
       (1035*t[5])/4 + (9*t[6])/4 - (164*t[7])/3 - (1289*t[8])/6 + 
       (941*t[9])/4 + (4251*t[10])/16 - (177*t[11])/4 - (2855*t[12])/48 + 
       (37405*t[13])/216 + (55769*t[14])/288 - (16933*t[15])/144 + 6*t[16] - 
       8*t[19] - 4*t[25] + (11*t[26])/2 + 51*t[27] + 48*t[28] + 60*t[31] + 
       6*t[32] - 6*t[33] + (9*t[34])/2 + 90*t[35] + (172*t[36])/3 + 
       39*t[37] + 83*t[38] + 35*t[39] - (16*t[40])/3 - (9*t[41])/4 + 
       (9*t[42])/4 - (21*t[43])/2 + 24*t[44] - (31*t[45])/2 - 62*t[46] + 
       37*t[47] - (175*t[48])/2 - (3313*t[49])/48 - (37*t[50])/6 + 
       (7843*t[51])/96 + 19*t[52] - (47*t[53])/48 + (1735*t[54])/24 + 
       (7*t[58])/2 - (219*t[59])/4 + (9509*t[60])/24 - (1163*t[61])/24 - 
       (349*t[62])/16 - (11881*t[63])/48 - (27703*t[64])/48 - 
       (2183*t[65])/24 - (13313*t[66])/24 + 36*t[69] - 3*t[70] + 3*t[71] + 
       18*t[72] + 180*t[73] - (10*t[74])/3 - 51*t[75] - (41*t[76])/6 - 
       (155*t[77])/6 + 76*t[78] - (477*t[79])/2 - 63*t[80] - 27*t[81] - 
       70*t[82] - (441*t[83])/2 + (577*t[84])/8 + (2849*t[85])/24 - 
       185*t[86] - (4835*t[87])/24 - (4315*t[88])/48 - (341*t[89])/48 - 
       t[91] + 12*t[93] - (52*t[95])/3 - 20*t[96] - (151*t[97])/6 + 
       168*t[98] - 282*t[99] + 39*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*(24*t[98] - 34*t[99] + 
       41*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*(8*t[1] + (19*t[2])/2 - (7*t[3])/12 - 
       (185*t[4])/3 + 26*t[5] - 13*t[6] + (1375*t[7])/24 + (1537*t[8])/24 + 
       (259*t[9])/24 - (199*t[10])/24 + (145*t[11])/24 - 19*t[12] + 
       (1031*t[13])/144 + (229*t[14])/72 + (1265*t[15])/144 + t[16] + 
       t[17]/2 + 2*t[18] + 2*t[21] - 2*t[23] - 3*t[25] - t[27] + 4*t[29] - 
       t[30] - 16*t[31] - t[32] - 3*t[33] + 2*t[34] - 4*t[35] + 6*t[36] - 
       t[37] + (5*t[38])/2 + 3*t[39] - t[40]/2 + t[41]/2 + t[42]/2 - 
       (197*t[43])/24 + t[44] - (15*t[45])/4 + 2*t[46] + 5*t[47] + 
       (125*t[48])/8 + (19*t[49])/6 + (415*t[50])/24 - (61*t[51])/12 - 
       (439*t[52])/24 - (19*t[53])/6 + (13*t[54])/24 - t[56] + (7*t[59])/4 - 
       (87*t[60])/4 + (77*t[61])/4 - (997*t[62])/24 - (899*t[63])/24 + 
       (133*t[64])/12 + (1409*t[65])/18 + (185*t[66])/9 - t[67]/2 - 2*t[68] - 
       2*t[70] + 2*t[71] + 2*t[75] + 2*t[76] - t[77] - (19*t[78])/2 - 
       5*t[79] + 13*t[80] + (17*t[82])/2 - (4*t[83])/3 + (121*t[84])/6 - 
       (113*t[85])/12 + (305*t[86])/6 + (13*t[87])/12 + (13*t[88])/24 + 
       (365*t[89])/24 - t[92]/2 + t[94]/2 + t[97] + 24*t[98] - 34*t[99] + 
       41*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[w, v, u]*
      ((32*t[1])/3 + (128*t[3])/9 - (512*t[4])/9 + (80*t[5])/3 - 
       (200*t[6])/3 + (440*t[7])/9 + (440*t[8])/9 - (208*t[9])/9 + 
       (88*t[10])/9 - (472*t[11])/9 + (416*t[13])/27 - (1588*t[14])/27 - 
       (232*t[15])/27 - (64*t[31])/3 - (160*t[43])/9 - (16*t[46])/3 + 
       8*t[48] + (128*t[49])/9 + (200*t[50])/9 - (28*t[51])/9 - 
       (200*t[52])/9 - (128*t[53])/9 - (136*t[54])/9 + (32*t[59])/3 - 
       (176*t[60])/3 - 48*t[61] - (632*t[62])/9 - (760*t[63])/9 + 
       (928*t[64])/9 - (80*t[65])/27 + (1280*t[66])/27 - (32*t[74])/3 + 
       (80*t[79])/3 - (32*t[81])/3 + (32*t[82])/3 + (128*t[83])/9 - 
       (64*t[84])/9 - (272*t[85])/9 + (1264*t[86])/9 + (400*t[87])/9 + 
       (200*t[88])/9 - (104*t[89])/9 + (128*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((97*t[1])/18 + 13*t[2] + (1219*t[3])/72 - (205*t[4])/18 + 
       (541*t[5])/48 - (791*t[6])/24 - (533*t[7])/72 - (1571*t[8])/72 - 
       (919*t[9])/144 + (35*t[10])/72 - (1087*t[11])/36 + (357*t[12])/16 - 
       (87*t[13])/8 - (2459*t[14])/216 - (2453*t[15])/864 + 2*t[19] + t[21] - 
       t[23] - 2*t[28] - (16*t[31])/3 - 6*t[35] - 6*t[37] - 2*t[39] + t[40] - 
       t[41]/2 + (5*t[42])/6 - (341*t[43])/72 - 2*t[45] - (25*t[46])/12 + 
       10*t[47] + (19*t[48])/8 - (133*t[49])/36 + (751*t[50])/72 + 
       (59*t[51])/144 - (751*t[52])/72 + (133*t[53])/36 + (205*t[54])/72 + 
       (11*t[59])/18 - (221*t[60])/4 - (118*t[61])/3 - (127*t[62])/72 - 
       (2123*t[63])/72 + (185*t[64])/72 + (781*t[65])/27 + (1631*t[66])/108 - 
       7*t[69] - 3*t[72] + 2*t[73] - (49*t[74])/6 - 4*t[75] - 5*t[77] + 
       (35*t[79])/12 + (148*t[80])/3 - (14*t[81])/3 + (35*t[82])/6 + 
       (253*t[83])/18 - (235*t[84])/36 - (857*t[85])/36 - (185*t[86])/36 + 
       (1471*t[87])/36 + (1471*t[88])/72 + (41*t[89])/72 - 12*t[98] + 
       12*t[99] + (128*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v]*(-2*t[1] + (3*t[2])/2 - 8*t[4] + (33*t[5])/8 - 
       (27*t[6])/8 + (17*t[7])/4 + (19*t[8])/4 - (57*t[9])/8 - (71*t[10])/4 - 
       (111*t[11])/8 - (63*t[12])/8 - (551*t[13])/72 - (29*t[14])/24 - 
       (19*t[15])/48 + t[25] - t[27] - 2*t[28] + 2*t[29] - 2*t[30] + 
       4*t[31] + 10*t[35] + 5*t[36] + 2*t[37] - t[38] - 2*t[39] + 2*t[40] + 
       t[43] - 2*t[45] - 2*t[46] + 4*t[47] + (7*t[48])/8 + (7*t[49])/2 + 
       (3*t[50])/8 - (43*t[51])/8 - (3*t[52])/8 - 4*t[53] - (11*t[54])/8 - 
       (3*t[59])/2 + t[60]/4 + (9*t[61])/4 + (17*t[62])/4 + (131*t[63])/4 - 
       (91*t[64])/8 + (11*t[65])/2 + (103*t[66])/4 - 4*t[72] + 6*t[75] - 
       4*t[76] - 2*t[77] + 14*t[78] - 12*t[79] + 4*t[80] + 3*t[82] + 
       (7*t[83])/2 + t[84]/2 + (9*t[85])/2 + 4*t[86] + 9*t[87] + 
       (9*t[88])/2 + (5*t[89])/8 - 12*t[98] + 12*t[99] + 44*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-67*t[1])/6 + (7*t[2])/3 + (19*t[3])/3 - (19*t[4])/6 + 
       (251*t[5])/12 + (89*t[6])/6 + t[7] + (50*t[8])/3 - (191*t[9])/12 - 
       (257*t[10])/6 - 37*t[11] + (57*t[12])/4 + (275*t[13])/18 - 
       (83*t[14])/3 + (895*t[15])/72 + (2*t[25])/3 + (31*t[26])/3 - 
       (2*t[27])/3 - (2*t[28])/3 + (2*t[29])/3 - (2*t[30])/3 + (8*t[31])/3 - 
       t[34]/3 + 10*t[35] + (8*t[36])/3 + (2*t[37])/3 - (32*t[38])/3 - 
       (4*t[39])/3 + (4*t[40])/3 + t[41]/6 - t[42]/6 + t[43]/3 - 
       (2*t[44])/3 - 2*t[45] - 4*t[46] + 4*t[47] + (15*t[48])/2 + 
       (19*t[49])/3 - (7*t[50])/2 + (5*t[51])/12 + (31*t[52])/6 - 
       (21*t[53])/2 + 11*t[54] + t[58]/3 + (7*t[59])/2 - (77*t[60])/3 - 
       33*t[61] + (339*t[62])/4 + (65*t[63])/4 + (103*t[64])/12 + 
       (221*t[65])/6 + (781*t[66])/9 - t[72] - 12*t[73] + (10*t[74])/3 + 
       4*t[75] - (16*t[76])/3 - (7*t[77])/3 + (50*t[78])/3 - 3*t[79] + 
       2*t[80] - (40*t[81])/3 + (43*t[82])/3 + 17*t[83] - (7*t[84])/2 - 
       4*t[85] - (77*t[86])/3 + (29*t[87])/6 + (43*t[88])/12 + 
       (107*t[89])/6 - (4*t[95])/3 - t[97]/3 - 16*t[98] + 20*t[99] + 
       44*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - w]*((13*t[1])/4 + (17*t[2])/2 - 3*t[3] + 
       (85*t[4])/4 + (269*t[5])/16 + (109*t[6])/4 + (73*t[7])/4 - 
       (23*t[8])/4 + (91*t[9])/16 + (181*t[10])/4 + (15*t[11])/8 + 
       (213*t[12])/16 - (647*t[13])/36 + (253*t[14])/24 + (1241*t[15])/96 - 
       6*t[26] - 6*t[31] + 2*t[34] - (51*t[35])/2 - 2*t[36] + t[37] + 
       5*t[38] - t[39] - t[41] + t[42] + 6*t[43] + 6*t[45] + (31*t[46])/4 - 
       12*t[47] + (35*t[48])/4 - (141*t[49])/8 + (23*t[50])/4 + (9*t[51])/8 - 
       (15*t[52])/4 + (77*t[53])/8 - t[54]/2 - t[59] + (339*t[60])/8 + 
       (681*t[61])/8 + (159*t[62])/8 - (35*t[63])/4 - (2531*t[64])/16 - 
       (161*t[65])/6 - (111*t[66])/8 + 6*t[69] + 3*t[73] + 2*t[74] - 
       (7*t[76])/2 - (7*t[77])/2 + 16*t[78] - (39*t[79])/2 + t[80]/2 + 
       11*t[81] - 6*t[82] + (15*t[83])/2 + (77*t[84])/8 - (175*t[85])/8 - 
       51*t[86] - (121*t[87])/8 - (161*t[88])/16 - (587*t[89])/16 - 4*t[95] - 
       (3*t[96])/2 - t[97] - 78*t[98] + 66*t[99] + 45*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*(-120*t[98] + 144*t[99] + 
       46*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*
      (12*t[1] + (7*t[2])/2 - 8*t[3] - 14*t[4] + (95*t[5])/4 - (153*t[6])/4 + 
       54*t[7] - 227*t[8] - (113*t[9])/4 + 32*t[10] + (305*t[11])/4 - 
       (99*t[12])/4 + (613*t[13])/9 + (57*t[14])/4 + (259*t[15])/8 + 
       4*t[16] + t[17] - 20*t[24] + 14*t[25] + 14*t[26] + 4*t[28] - 
       24*t[31] - 28*t[32] - 6*t[33] + 8*t[36] + 6*t[39] + 28*t[40] - 
       4*t[41] + 4*t[42] + 16*t[44] - 32*t[45] - 21*t[46] + 24*t[47] - 
       (49*t[48])/4 + 4*t[49] + (167*t[50])/4 + (5*t[51])/4 - (167*t[52])/4 - 
       4*t[53] - (79*t[54])/4 + 12*t[59] - (19*t[60])/2 + 49*t[61] - 
       (155*t[62])/4 + (343*t[63])/4 - (207*t[64])/2 + 36*t[65] - 61*t[66] - 
       2*t[67] - 6*t[68] - 4*t[72] + 8*t[73] - 8*t[74] - 8*t[75] - 48*t[76] - 
       18*t[77] - 8*t[78] - 8*t[79] - 32*t[80] - 3*t[81] + 11*t[82] - 
       4*t[83] + 7*t[84] - (35*t[85])/2 + 32*t[86] + (31*t[87])/2 + 
       (31*t[88])/4 - (49*t[89])/2 - t[91]/3 - 2*t[92] + 2*t[93] + 2*t[94] - 
       120*t[98] + 144*t[99] + 46*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]^2*(-3*t[2] + (9*t[3])/4 + 19*t[4] - (67*t[5])/2 - 
       (31*t[6])/2 + 27*t[7] - (241*t[8])/4 + 55*t[9] - (165*t[10])/4 + 
       (45*t[11])/2 + 24*t[12] + (109*t[13])/12 - (293*t[14])/12 - 
       (851*t[15])/72 + 5*t[27] + 2*t[29] - 6*t[30] - 2*t[31] + 2*t[32] - 
       2*t[33] + 4*t[35] - 8*t[36] + 6*t[39] - t[40] - (13*t[43])/2 + 
       14*t[44] - 13*t[45] - t[46] + 28*t[47] - 10*t[48] - 3*t[49] + 
       (43*t[50])/2 + (37*t[51])/4 - (43*t[52])/2 + 3*t[53] - 9*t[54] + 
       9*t[60] + (29*t[61])/2 + (9*t[62])/2 - 10*t[63] - (21*t[64])/4 - 
       (73*t[65])/3 + (13*t[66])/3 - 2*t[72] - 2*t[73] + 3*t[75] + 12*t[76] + 
       17*t[78] - 6*t[81] - 6*t[82] + 4*t[83] + t[84] - t[85] - 
       (13*t[87])/2 - (13*t[88])/4 + 5*t[89] - 16*t[99] + 47*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]^2*(-t[1] - 17*t[2] + (13*t[3])/2 - 
       (93*t[4])/2 + (147*t[5])/4 + 6*t[6] - (15*t[7])/2 + (51*t[8])/2 - 
       (159*t[9])/4 - (139*t[10])/4 - (85*t[11])/2 + 9*t[12] - 
       (245*t[13])/9 - (905*t[14])/24 - (349*t[15])/24 + (8*t[19])/3 + 
       4*t[21] - 4*t[23] + 2*t[37] + 4*t[41] - 4*t[42] - 4*t[43] - 4*t[45] + 
       12*t[47] + 14*t[48] - (35*t[49])/4 - 12*t[50] + (11*t[51])/8 + 
       12*t[52] + (35*t[53])/4 + (47*t[54])/2 - (39*t[60])/2 - (81*t[61])/2 + 
       (9*t[62])/2 - (9*t[63])/2 + (541*t[64])/4 + (92*t[65])/3 + 
       (473*t[66])/6 - 4*t[69] + 4*t[75] + 8*t[79] - 2*t[80] - 2*t[81] + 
       10*t[82] - 18*t[83] - t[85] + 2*t[86] + 11*t[87] + (11*t[88])/2 + 
       (73*t[89])/4 - 16*t[99] + 47*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*((-37*t[1])/24 + (7*t[2])/16 - 
       (49*t[3])/24 + (105*t[4])/16 - (115*t[5])/32 + (139*t[6])/96 - 
       (287*t[7])/24 - (289*t[8])/16 - (103*t[9])/48 + (2431*t[10])/96 - 
       (653*t[11])/32 - (97*t[12])/24 + (8087*t[13])/864 - 
       (10519*t[14])/576 + (5861*t[15])/576 - t[19]/2 + t[25] - (5*t[26])/6 + 
       (17*t[28])/6 + (17*t[30])/12 + (37*t[31])/6 + (3*t[34])/4 - 
       (11*t[35])/3 - (25*t[36])/6 - (2*t[37])/3 - (5*t[38])/12 + 
       (11*t[39])/4 - (25*t[40])/6 - (3*t[41])/8 + (3*t[42])/8 - 
       (25*t[43])/16 + (5*t[44])/6 + (283*t[45])/48 + (25*t[46])/12 - 
       (283*t[47])/24 - (445*t[48])/96 - (115*t[49])/32 + (83*t[50])/96 + 
       (439*t[51])/192 - (187*t[52])/96 - (71*t[53])/96 - (113*t[54])/96 - 
       (7*t[59])/8 - (125*t[60])/24 - (127*t[61])/8 + (1091*t[62])/16 + 
       (5*t[63])/24 - (2759*t[64])/48 + (1075*t[65])/48 + (1661*t[66])/48 - 
       (5*t[69])/6 + (2*t[70])/3 - (2*t[71])/3 + t[72] - (7*t[73])/12 + 
       (14*t[74])/3 + (91*t[75])/12 - (29*t[76])/12 + (29*t[77])/6 + 
       (59*t[78])/12 + t[79]/2 - (49*t[80])/3 + (61*t[81])/24 - 
       (37*t[82])/12 - 11*t[83] + (131*t[84])/48 + (53*t[85])/24 - 
       (829*t[86])/12 - (83*t[87])/12 - (19*t[88])/24 + (577*t[89])/24 - 
       t[95]/3 - (13*t[96])/6 - (7*t[97])/12 - (25*t[98])/2 + (9*t[99])/2 + 
       (189*t[100])/4) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((-29*t[1])/12 + (119*t[2])/72 - (119*t[3])/36 - 
       (709*t[4])/288 + (1253*t[5])/144 + t[6] - (13*t[7])/4 + 
       (143*t[8])/36 - (1583*t[9])/144 - (2411*t[10])/192 - 
       (2471*t[11])/144 - (193*t[12])/64 + (6091*t[13])/864 - 
       (29423*t[14])/3456 + (15245*t[15])/1728 + (17*t[25])/9 - 
       (91*t[26])/36 - (2*t[27])/9 + (22*t[28])/9 + (2*t[29])/9 - 
       (29*t[30])/9 + (92*t[31])/9 - t[34]/9 + 7*t[35] + t[36]/6 + 
       (11*t[37])/3 + (3*t[38])/4 + (20*t[39])/9 - (20*t[40])/9 + t[41]/18 - 
       t[42]/18 + (13*t[43])/9 - (2*t[44])/9 + 2*t[45] - (7*t[46])/72 - 
       4*t[47] + (39*t[48])/8 + (103*t[49])/192 - (21*t[50])/8 - 
       (473*t[51])/1152 + (229*t[52])/72 - (117*t[53])/64 + (239*t[54])/96 + 
       t[58]/9 - (151*t[59])/72 - (1571*t[60])/288 + (227*t[61])/96 + 
       (33089*t[62])/576 + (661*t[63])/192 - (29339*t[64])/576 + 
       (12235*t[65])/864 + (1393*t[66])/96 - t[69] - (8*t[72])/3 + 
       (23*t[74])/6 + (23*t[75])/3 - (37*t[76])/9 + (17*t[77])/9 + 
       (142*t[78])/9 - (53*t[79])/6 - (16*t[80])/3 + (7*t[81])/36 + 
       (56*t[82])/9 - (49*t[83])/6 + (755*t[84])/288 + (307*t[85])/288 - 
       (829*t[86])/18 + (733*t[87])/96 + (733*t[88])/192 + (2815*t[89])/576 - 
       t[97]/9 - (70*t[98])/3 + (70*t[99])/3 + (142*t[100])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*(-3*t[1] - (9*t[2])/2 - 
       15*t[4] - (135*t[5])/2 - 15*t[6] + (441*t[7])/4 + (83*t[8])/2 + 
       (217*t[9])/2 + 42*t[10] - (93*t[11])/2 + (81*t[12])/2 - 
       (161*t[13])/2 - (5*t[14])/24 - (371*t[15])/12 - (9*t[17])/2 + 
       2*t[24] - 6*t[31] - 9*t[41] + 9*t[42] - 26*t[43] - 30*t[45] + 
       (9*t[46])/2 + 66*t[47] - (11*t[48])/2 + (5*t[49])/2 + (33*t[50])/2 - 
       (37*t[51])/8 - (33*t[52])/2 - (5*t[53])/2 - (17*t[54])/2 + 19*t[60] - 
       (183*t[61])/2 - (229*t[62])/4 + 33*t[63] - (181*t[64])/2 + 
       (322*t[65])/3 + (919*t[66])/6 + (3*t[67])/2 + 9*t[74] - (51*t[79])/2 - 
       6*t[80] - 2*t[83] + 5*t[84] - t[85] + (175*t[86])/2 - 23*t[87] - 
       (23*t[88])/2 + 26*t[89] - (3*t[94])/2 + 48*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-17*t[1])/24 - (7*t[2])/9 + (37*t[3])/72 - (16867*t[4])/576 + 
       (1643*t[5])/96 - (1127*t[6])/72 + (459*t[7])/16 + (839*t[8])/48 + 
       (995*t[9])/288 + (4691*t[10])/384 - (169*t[11])/96 + 
       (3913*t[12])/1152 - (1363*t[13])/192 - (124681*t[14])/6912 + 
       (6169*t[15])/1152 + (3*t[17])/4 - 3*t[19] - (5*t[21])/2 + 
       (5*t[23])/2 - (97*t[24])/18 + (29*t[25])/18 + (83*t[26])/72 - 
       (7*t[27])/9 - (4*t[28])/9 + (41*t[29])/18 + (11*t[30])/9 - 
       (64*t[31])/9 - (7*t[34])/18 + (7*t[35])/2 + (19*t[36])/12 + 
       (11*t[37])/6 - (19*t[38])/8 - (11*t[39])/9 - (7*t[40])/9 - 
       (37*t[41])/18 + (37*t[42])/18 + (28*t[43])/9 - (73*t[44])/36 + 
       3*t[45] + (23*t[46])/144 + (16*t[47])/3 + (851*t[48])/144 + 
       (1195*t[49])/1152 + (1447*t[50])/144 - (1765*t[51])/768 - 
       (389*t[52])/48 - (1651*t[53])/1152 - (437*t[54])/64 + (7*t[58])/18 + 
       (167*t[59])/144 - (6593*t[60])/576 - (7165*t[61])/576 - 
       (3425*t[62])/1152 - (12085*t[63])/384 + (3031*t[64])/1152 + 
       (16375*t[65])/576 + (56455*t[66])/1728 - t[67]/4 + (5*t[69])/2 - 
       (17*t[72])/6 + (47*t[74])/12 + (13*t[75])/3 - (53*t[76])/9 - 
       (7*t[77])/18 + (110*t[78])/9 - (127*t[79])/24 + (23*t[80])/6 - 
       (23*t[81])/72 + (7*t[82])/9 - (43*t[83])/36 - (37*t[84])/192 - 
       (1877*t[85])/192 + (679*t[86])/24 + (7621*t[87])/576 + 
       (7621*t[88])/1152 + (11701*t[89])/1152 + t[94]/4 - (7*t[97])/18 - 
       (56*t[98])/3 + (56*t[99])/3 + (293*t[100])/6) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      (-3*t[1] + (79*t[2])/12 - (11*t[3])/12 - (5*t[4])/12 + (43*t[5])/6 + 
       (31*t[6])/8 + (11*t[7])/2 - (4*t[8])/3 - (53*t[9])/12 - (59*t[10])/8 - 
       (181*t[11])/24 - (51*t[12])/8 + (79*t[13])/24 - (457*t[14])/144 + 
       (751*t[15])/72 - t[19] - t[21] + t[23] + (8*t[25])/3 - t[26]/3 - 
       (2*t[27])/3 + t[28]/3 + (2*t[29])/3 - (5*t[30])/3 + (26*t[31])/3 - 
       t[34]/3 + 8*t[35] + 2*t[36] + 3*t[37] - 2*t[38] - t[39]/3 - 
       (2*t[40])/3 - (5*t[41])/6 + (5*t[42])/6 + (4*t[43])/3 + (4*t[44])/3 + 
       2*t[45] - (7*t[46])/6 - 5*t[47] - (11*t[48])/8 + (47*t[49])/8 + 
       (25*t[50])/8 - (169*t[51])/48 - (35*t[52])/24 - (51*t[53])/8 - 
       (63*t[54])/8 + t[58]/3 - (7*t[59])/6 - (23*t[60])/6 + (7*t[61])/2 + 
       (841*t[62])/24 - (47*t[63])/8 - (176*t[64])/3 + (115*t[65])/18 + 
       (83*t[66])/6 + t[69] - 3*t[72] + 2*t[74] + 7*t[75] - (19*t[76])/3 - 
       t[77]/3 + (52*t[78])/3 - 11*t[79] - 9*t[80] + (5*t[81])/6 + 
       (13*t[82])/6 - t[83]/2 + t[84]/12 + (11*t[85])/3 - (65*t[86])/3 + 
       8*t[87] + 4*t[88] + (10*t[89])/3 - t[97]/3 - 28*t[98] + 30*t[99] + 
       50*t[100]) + HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      ((-29*t[1])/12 + (353*t[2])/72 + (58*t[3])/9 - (5731*t[4])/288 - 
       (961*t[5])/144 + (17*t[6])/8 - (5*t[7])/2 - (52*t[8])/9 - 
       (233*t[9])/144 - (5117*t[10])/192 - (4163*t[11])/144 - 
       (167*t[12])/64 - (8975*t[13])/864 - (79409*t[14])/3456 - 
       (1789*t[15])/1728 - t[25]/9 - t[26]/36 - (2*t[27])/9 + (4*t[28])/9 + 
       (2*t[29])/9 - (20*t[30])/9 + (29*t[31])/9 + (17*t[34])/9 + 5*t[35] + 
       (7*t[36])/6 + (5*t[37])/3 - (3*t[38])/4 - (7*t[39])/9 - (2*t[40])/9 - 
       (17*t[41])/18 + (17*t[42])/18 - t[43]/18 + (16*t[44])/9 + 
       (47*t[46])/72 - (3*t[48])/4 - (1871*t[49])/192 + (29*t[50])/4 + 
       (3289*t[51])/1152 - (169*t[52])/36 + (381*t[53])/64 + (557*t[54])/96 + 
       t[58]/9 - (599*t[59])/144 - (223*t[60])/144 - (1933*t[61])/24 + 
       (6821*t[62])/144 + (1213*t[63])/48 - (11837*t[64])/144 + 
       (6899*t[65])/108 + (1771*t[66])/48 + 6*t[69] - (3*t[70])/2 + 
       (3*t[71])/2 - (67*t[72])/6 + 2*t[73] + (77*t[74])/6 - (19*t[75])/3 - 
       (163*t[76])/9 - (29*t[77])/18 - (151*t[78])/72 - (7*t[79])/3 - 
       (73*t[80])/12 + (203*t[81])/72 + (31*t[82])/18 + (76*t[83])/3 - 
       (95*t[84])/144 + (2327*t[85])/144 - (14*t[86])/9 - (191*t[87])/24 - 
       (383*t[88])/48 - (7075*t[89])/288 - t[91]/24 - (3*t[93])/2 - 6*t[96] - 
       (377*t[97])/72 - (196*t[98])/3 + (202*t[99])/3 + (151*t[100])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*
      ((4*t[1])/3 + (59*t[2])/3 + (73*t[3])/2 - (1355*t[4])/12 + 
       (199*t[5])/3 - (515*t[6])/48 - (2285*t[7])/48 + (461*t[8])/48 - 
       (4511*t[9])/48 - (1793*t[10])/48 + (73*t[11])/2 + (517*t[12])/8 - 
       (18017*t[13])/864 + (185*t[14])/16 + (227*t[15])/96 + 2*t[18] - 
       13*t[22] + 3*t[27] - 8*t[28] - 2*t[34] + 24*t[35] + 10*t[36] - 
       8*t[39] + (28*t[40])/3 - (5*t[41])/3 + (5*t[42])/3 + (643*t[43])/48 - 
       3*t[44] + (417*t[45])/8 - (397*t[47])/4 - (15*t[48])/8 - 
       (289*t[49])/8 - (79*t[50])/8 + (125*t[51])/16 + (79*t[52])/8 + 
       (289*t[53])/8 + (77*t[54])/8 + (8*t[59])/3 + (19*t[60])/4 + 
       (301*t[61])/6 - (293*t[62])/12 + (1409*t[63])/12 + (775*t[64])/12 + 
       (2899*t[65])/18 + (587*t[66])/18 + 88*t[73] + 141*t[75] + 40*t[76] + 
       (28*t[77])/3 + 93*t[78] + 10*t[79] + 10*t[80] + 17*t[81] - 20*t[82] - 
       14*t[83] + (25*t[84])/4 + (143*t[85])/4 + (47*t[86])/2 - 
       (205*t[87])/4 - (205*t[88])/8 - (749*t[89])/24 - 68*t[98] + 
       216*t[99] + 52*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 
       1 - w]*((-17*t[1])/3 - (267*t[2])/4 + (11*t[3])/4 + (1511*t[4])/8 + 
       (353*t[5])/2 - 6*t[6] - 101*t[7] - (285*t[8])/2 - (919*t[9])/6 + 
       (4001*t[10])/12 + (1061*t[11])/8 - (929*t[12])/8 + (443*t[13])/4 - 
       (6277*t[14])/288 + (1631*t[15])/18 + (15*t[17])/2 - 6*t[19] + 
       84*t[20] - 36*t[21] - 60*t[22] + 36*t[23] - 6*t[24] + (26*t[26])/3 - 
       30*t[27] - 30*t[28] - 12*t[29] + 18*t[30] + 12*t[31] - 18*t[32] + 
       45*t[33] - 24*t[34] + 81*t[35] - 18*t[36] - (21*t[37])/2 - 
       (8*t[38])/3 - 72*t[39] + 45*t[40] - 24*t[41] + 24*t[42] - 
       (9*t[43])/4 - 6*t[44] + 162*t[45] - (71*t[46])/4 - 207*t[47] + 
       (3*t[48])/2 + (939*t[49])/8 + (221*t[50])/2 - (2741*t[51])/96 - 
       (257*t[52])/2 - (2851*t[53])/24 - (3155*t[54])/24 - 6*t[56] + 
       12*t[57] + (4*t[59])/3 - 8*t[60] + (4969*t[61])/24 + (5773*t[62])/48 - 
       (871*t[63])/16 - (21035*t[64])/48 - (37039*t[65])/72 - 
       (19625*t[66])/72 + (9*t[68])/2 + 36*t[69] - 18*t[72] + 106*t[73] - 
       27*t[74] - 42*t[75] - (25*t[76])/6 - 24*t[77] + (343*t[78])/3 + 
       (47*t[79])/2 - 129*t[80] - (95*t[81])/3 - 20*t[82] + 81*t[83] - 
       (2459*t[84])/24 - (1077*t[85])/8 - 135*t[86] + (1735*t[87])/24 + 
       (1735*t[88])/48 - (409*t[89])/2 - 6*t[97] - 68*t[98] + 216*t[99] + 
       52*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-t[1]/6 - (3*t[2])/2 - (29*t[3])/18 + 
       (1699*t[4])/36 - (58*t[5])/3 + (97*t[6])/8 - (725*t[7])/72 - 
       (4085*t[8])/72 + (92*t[9])/9 - (1151*t[10])/36 + (1633*t[11])/72 - 
       (481*t[12])/24 - (298*t[13])/27 + (4603*t[14])/216 - 
       (2567*t[15])/216 + 2*t[25] - 2*t[26] - 4*t[28] - 3*t[29] - 2*t[30] + 
       17*t[31] + 18*t[35] + 4*t[36] + 2*t[37] - 4*t[39] + 4*t[40] + 
       (31*t[43])/18 + (13*t[44])/2 - 4*t[45] - (73*t[46])/12 + 8*t[47] - 
       (385*t[48])/24 + (1093*t[49])/72 + (13*t[50])/72 - (353*t[51])/72 - 
       (13*t[52])/72 - (985*t[53])/72 - (1667*t[54])/72 - (55*t[59])/6 + 
       (63*t[60])/8 + (115*t[61])/24 + (313*t[62])/36 + (1441*t[63])/18 + 
       (1255*t[64])/144 - (2077*t[65])/54 - (1601*t[66])/216 + t[67] - 
       2*t[72] + 2*t[73] - (37*t[74])/6 + 2*t[75] - 2*t[76] - 4*t[77] + 
       14*t[78] - (121*t[79])/4 - 12*t[80] + (5*t[81])/2 + (9*t[82])/2 + 
       (101*t[83])/9 - (1079*t[84])/72 + (683*t[85])/72 - (713*t[86])/36 + 
       (755*t[87])/72 + (179*t[88])/144 - (1289*t[89])/144 - 12*t[98] + 
       4*t[99] + (158*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*((-37*t[1])/12 + (5*t[2])/6 + 
       (403*t[3])/24 - (613*t[4])/12 + (715*t[5])/48 + (83*t[6])/6 - 
       (201*t[7])/8 - (233*t[8])/24 - (1715*t[9])/48 - (29*t[10])/24 - 
       (1387*t[11])/24 + (409*t[12])/48 - (12025*t[13])/216 - 
       (505*t[14])/48 + (1157*t[15])/288 - t[17] + 2*t[19] + 18*t[20] - 
       2*t[21] - 3*t[22] + 2*t[23] + 2*t[24] - t[25] + (7*t[26])/3 - 
       (13*t[27])/3 + (47*t[28])/3 - (11*t[29])/3 - (31*t[30])/3 + 5*t[31] - 
       t[32]/3 + t[33]/3 + (19*t[34])/6 + 8*t[35] - t[38] + 7*t[39] - 
       (65*t[40])/6 + (29*t[41])/12 - (29*t[42])/12 + (4*t[43])/3 + 
       (2*t[44])/3 - (31*t[45])/6 + 3*t[46] - (21*t[47])/2 + (31*t[48])/4 + 
       (8*t[49])/3 + (137*t[50])/12 - (27*t[51])/4 + (23*t[52])/4 - 
       (8*t[53])/3 + (43*t[54])/12 - 4*t[57] + t[58]/3 + (3*t[59])/4 - 
       (7*t[60])/4 - (689*t[61])/12 + (3385*t[62])/24 - (397*t[63])/24 - 
       (1583*t[64])/24 + (1133*t[65])/36 + (5815*t[66])/36 + 2*t[69] - 
       (44*t[72])/3 + 14*t[73] + 5*t[74] + 47*t[75] + (5*t[76])/3 - 3*t[77] + 
       (125*t[78])/6 + 10*t[79] - (41*t[80])/3 + (11*t[81])/6 + 
       (89*t[82])/6 - (38*t[83])/3 + (53*t[84])/3 - (27*t[85])/2 - 65*t[86] - 
       (155*t[87])/6 - (155*t[88])/12 - (521*t[89])/24 - 2*t[93] + 
       (7*t[97])/6 - 76*t[98] + 76*t[99] + 53*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-53*t[1])/12 + (95*t[2])/12 - (11*t[3])/4 + (27*t[4])/8 - 
       (143*t[5])/24 + (37*t[6])/6 - (17*t[7])/12 - (449*t[8])/12 + 
       (79*t[9])/8 - (85*t[10])/16 - (32*t[11])/3 - (649*t[12])/48 + 
       (1987*t[13])/216 - (737*t[14])/32 + (53*t[15])/8 + (2*t[16])/3 + 
       (4*t[19])/3 + 2*t[20] + 2*t[21] - 2*t[22] - 2*t[23] + (14*t[25])/3 - 
       (13*t[26])/3 - (10*t[27])/3 + 11*t[28] + t[29] + t[30] + 7*t[31] - 
       3*t[32] + 3*t[33] + (17*t[34])/6 + 7*t[35] - (41*t[36])/3 + t[37] - 
       2*t[38] + (14*t[39])/3 - 9*t[40] - (5*t[41])/12 + (5*t[42])/12 - 
       t[43] + 4*t[44] - 2*t[45] + (11*t[46])/3 + t[47] + (16*t[48])/3 + 
       (31*t[49])/48 + (77*t[50])/6 + (253*t[51])/96 - 9*t[52] - 
       (463*t[53])/48 - (7*t[54])/8 - (11*t[59])/4 - (281*t[60])/24 - 
       (459*t[61])/8 + (3703*t[62])/48 + t[63]/48 - (673*t[64])/48 + 
       (2771*t[65])/72 + (1657*t[66])/24 - (2*t[68])/3 + 2*t[72] + 2*t[73] + 
       15*t[74] + 16*t[75] - (29*t[76])/6 + (23*t[77])/3 + (55*t[78])/2 - 
       8*t[79] - (2*t[80])/3 + (7*t[81])/6 + t[82]/2 - 24*t[83] + 
       (171*t[84])/8 - (41*t[85])/24 - 24*t[86] - (305*t[87])/24 - 
       (457*t[88])/48 + (337*t[89])/48 - 9*t[96] - (37*t[97])/6 - 8*t[98] + 
       24*t[99] + (173*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((-19*t[1])/12 + (71*t[2])/48 - 
       (1073*t[3])/72 + (1835*t[4])/72 - (1543*t[5])/144 + (743*t[6])/96 + 
       (179*t[7])/9 + (4049*t[8])/72 + (113*t[9])/8 - (481*t[10])/48 + 
       (6049*t[11])/288 + (901*t[12])/72 + (1585*t[13])/54 + 
       (3709*t[14])/144 + (71*t[15])/48 + (7*t[16])/4 + (9*t[25])/2 - 
       (5*t[26])/3 + (5*t[27])/18 - (19*t[28])/18 - (5*t[29])/18 + 
       (55*t[30])/36 - (8*t[31])/3 - (5*t[34])/3 - t[35] - (15*t[36])/2 - 
       (2*t[37])/3 - (5*t[38])/4 - (13*t[39])/36 - (8*t[40])/3 + 
       (5*t[41])/6 - (5*t[42])/6 - (5*t[43])/3 + (5*t[44])/18 - (7*t[45])/2 + 
       (5*t[46])/3 + 7*t[47] + (3817*t[48])/288 - (545*t[49])/48 - 
       (1103*t[50])/288 - (3265*t[51])/288 + (2063*t[52])/288 - 
       (97*t[53])/16 + (145*t[54])/96 + (5*t[58])/6 + (29*t[59])/18 + 
       (2611*t[60])/144 + (769*t[61])/16 - (533*t[62])/12 - (5465*t[63])/72 + 
       (23053*t[64])/288 - (1625*t[65])/432 - (30397*t[66])/432 + 
       (3*t[68])/2 + 2*t[69] - (49*t[72])/18 - (2*t[73])/3 + 6*t[74] + 
       (23*t[75])/12 - (5*t[76])/2 + (11*t[77])/6 + 3*t[78] - 3*t[79] + 
       (19*t[80])/6 - (259*t[81])/72 - (61*t[82])/72 - (65*t[83])/9 + 
       (97*t[84])/18 - (1429*t[85])/144 + (161*t[86])/6 + (3949*t[87])/144 + 
       (3757*t[88])/288 + (9943*t[89])/288 + (5*t[96])/2 + (5*t[97])/6 - 
       26*t[98] + 29*t[99] + (178*t[100])/3) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(32*t[2] + 20*t[3] - (375*t[4])/4 + 
       206*t[5] - (185*t[6])/2 - 72*t[7] - 292*t[8] - (387*t[9])/2 + 
       (973*t[10])/8 - (89*t[11])/2 - (939*t[12])/8 - (871*t[13])/36 - 
       (911*t[14])/48 + (1741*t[15])/24 + 8*t[18] + 14*t[19] - 40*t[21] + 
       48*t[23] - 72*t[35] - (27*t[37])/2 - 31*t[41] + 31*t[42] + 94*t[45] - 
       208*t[47] - 8*t[48] - (5*t[49])/8 + 64*t[50] + (83*t[51])/16 - 
       64*t[52] + (5*t[53])/8 - (197*t[54])/4 - (5*t[60])/4 + (31*t[61])/4 + 
       (1373*t[62])/8 + (691*t[63])/8 - (1479*t[64])/8 - (873*t[65])/4 + 
       (1051*t[66])/12 - 8*t[69] + 40*t[70] - 40*t[71] - 39*t[76] + 
       45*t[78] - 64*t[80] - 47*t[81] + 44*t[82] - (115*t[84])/4 - 
       (251*t[85])/4 - 114*t[86] - (41*t[87])/4 - (41*t[88])/8 - 
       (599*t[89])/8 + 60*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*((-93*t[3])/4 - (15*t[4])/2 + 
       (117*t[5])/8 + (15*t[6])/2 - (99*t[7])/2 + (81*t[8])/2 - 
       (363*t[9])/8 + (303*t[10])/2 - (201*t[11])/4 - (69*t[12])/8 - 
       (163*t[13])/12 + (293*t[14])/8 + (627*t[15])/16 + (9*t[22])/2 - 
       (9*t[32])/2 - (39*t[43])/4 + (87*t[45])/2 - 87*t[47] + 30*t[60] - 
       12*t[61] + 63*t[62] - 12*t[63] - 234*t[64] + (71*t[65])/2 + 
       (201*t[66])/2 - 3*t[77] - 96*t[80] - 3*t[82] - 156*t[86] + 21*t[89] + 
       60*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, u, w]*
      ((32*t[1])/3 + (32*t[3])/3 + 32*t[4] + (56*t[5])/3 - (164*t[6])/3 + 
       (208*t[7])/3 + 48*t[8] - 24*t[9] + (16*t[10])/3 - (244*t[11])/3 - 
       (128*t[12])/3 + 8*t[13] - (376*t[14])/9 - (44*t[15])/3 - 
       (32*t[31])/3 - (16*t[43])/3 - 16*t[46] - (20*t[48])/3 + 
       (112*t[49])/3 + (44*t[50])/3 - (20*t[51])/3 - (44*t[52])/3 - 
       (112*t[53])/3 - 4*t[54] + (32*t[59])/3 - 40*t[60] - 56*t[61] - 
       64*t[62] - 80*t[63] + (284*t[64])/3 - (568*t[65])/9 + (40*t[66])/3 - 
       32*t[74] + (64*t[79])/3 - (16*t[81])/3 + (16*t[82])/3 + (64*t[83])/3 - 
       (32*t[84])/3 - 8*t[85] + (416*t[86])/3 + (88*t[87])/3 + (44*t[88])/3 - 
       4*t[89] + 64*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[w, v, u]*
      (-24*t[2] + (176*t[3])/9 - (536*t[4])/9 - (376*t[5])/9 + (64*t[6])/3 - 
       (496*t[7])/9 - (80*t[8])/9 + (304*t[9])/3 - (220*t[10])/3 - 
       (1048*t[11])/9 - (4*t[12])/9 - (848*t[13])/27 + (434*t[14])/9 - 
       (668*t[15])/9 - (128*t[27])/9 + (256*t[28])/9 + (128*t[29])/9 - 
       (320*t[30])/9 + (128*t[31])/3 + (320*t[35])/3 - (64*t[37])/3 + 
       (128*t[39])/9 - (128*t[44])/9 - (16*t[46])/3 + (272*t[48])/9 + 
       20*t[49] - (496*t[50])/9 - (86*t[51])/9 + (496*t[52])/9 - 20*t[53] + 
       40*t[54] - (32*t[59])/3 + (880*t[60])/9 - (448*t[61])/3 + 12*t[62] + 
       (1940*t[63])/9 - (184*t[64])/9 + (5032*t[65])/27 + (1448*t[66])/27 - 
       (128*t[72])/9 - (32*t[73])/3 + 64*t[75] + (128*t[78])/3 + 
       (64*t[81])/9 + (64*t[82])/9 - (896*t[83])/9 + (320*t[84])/9 + 
       (416*t[85])/9 + (64*t[86])/3 - (992*t[87])/9 - (496*t[88])/9 + 
       (632*t[89])/9 + 64*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-6*t[99] + (129*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-71*t[2])/2 - (3*t[3])/2 + (57*t[4])/2 - (41*t[5])/8 - (67*t[6])/8 + 
       (71*t[7])/2 - (81*t[8])/2 + (77*t[9])/8 + t[10] - (69*t[11])/8 - 
       (117*t[12])/8 - (385*t[13])/24 - t[14]/6 - (77*t[15])/48 + 3*t[18] - 
       6*t[19] - 2*t[21] + 6*t[23] - 3*t[24] + 21*t[31] + 28*t[35] + 
       13*t[37] - (11*t[41])/2 + (11*t[42])/2 + (9*t[43])/2 - 3*t[44] - 
       6*t[45] - 3*t[46] + 5*t[47] - (157*t[48])/8 + 11*t[49] - 
       (33*t[50])/8 - (19*t[51])/4 + (33*t[52])/8 - 11*t[53] - 
       (143*t[54])/8 + (79*t[60])/2 - 39*t[61] + (309*t[62])/8 + 
       (267*t[63])/8 - (69*t[64])/4 - (71*t[65])/3 + (101*t[66])/12 + 
       12*t[69] - 9*t[70] + 9*t[71] - 3*t[74] - 3*t[78] - (33*t[79])/2 - 
       27*t[80] - (5*t[81])/2 + (5*t[82])/2 + (5*t[83])/2 - (7*t[84])/2 + 
       (95*t[85])/4 - (35*t[86])/2 - (143*t[87])/4 - (143*t[88])/8 + 
       (17*t[89])/4 - 6*t[99] + (129*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-17*t[1])/18 + (47*t[2])/4 - (287*t[3])/18 - (4931*t[4])/144 - 
       (1709*t[5])/72 + (1607*t[6])/96 + (26*t[7])/9 + (7*t[8])/36 + 
       (365*t[9])/24 + (2093*t[10])/96 - (18581*t[11])/288 + 
       (6373*t[12])/288 - (3265*t[13])/72 - (15013*t[14])/576 - 
       (1253*t[15])/288 + (2*t[18])/3 + 6*t[21] - t[22]/6 - (16*t[23])/3 + 
       (5*t[26])/6 + (16*t[27])/9 - (5*t[28])/9 - (5*t[29])/18 + 
       (25*t[30])/36 + (37*t[31])/6 + (5*t[32])/2 - (5*t[33])/2 + 
       (5*t[34])/2 + (23*t[35])/3 - (4*t[37])/3 - (5*t[38])/6 + 
       (20*t[39])/9 - (47*t[40])/12 - t[41]/4 + t[42]/6 - (133*t[43])/24 - 
       (47*t[44])/9 - (71*t[45])/12 + (229*t[46])/24 + (25*t[47])/4 + 
       (1261*t[48])/288 - (2569*t[49])/96 + (37*t[50])/288 + 
       (2137*t[51])/576 + (1595*t[52])/288 + (2569*t[53])/96 + 
       (2083*t[54])/96 + (5*t[58])/6 - (883*t[59])/72 - (10787*t[60])/144 - 
       (3401*t[61])/48 + (8437*t[62])/96 + (2833*t[63])/288 + 
       (1147*t[64])/288 + (5495*t[65])/216 + (15989*t[66])/108 + t[67]/4 - 
       4*t[69] + (5*t[72])/18 - (5*t[73])/12 + (17*t[74])/2 + t[75]/4 - 
       (47*t[76])/12 - t[77]/12 + (11*t[78])/6 - 10*t[79] - (379*t[80])/6 - 
       (1387*t[81])/72 + (1139*t[82])/72 + (541*t[83])/36 - (91*t[84])/9 - 
       (4447*t[85])/144 - (641*t[86])/6 + (10087*t[87])/144 + 
       (10087*t[88])/288 + (6841*t[89])/288 - (5*t[97])/12 - 26*t[98] + 
       29*t[99] + 65*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      ((40*t[1])/3 + 59*t[3] - (1823*t[4])/12 + (111*t[5])/2 - (250*t[6])/3 + 
       63*t[7] + 15*t[8] - (685*t[9])/6 - (451*t[10])/24 + (133*t[11])/6 + 
       (335*t[12])/8 - (4093*t[13])/36 + (5081*t[14])/144 - (7417*t[15])/72 - 
       (40*t[26])/3 - 48*t[28] + 12*t[29] - 48*t[31] + 36*t[35] + 12*t[36] + 
       (40*t[38])/3 - 48*t[39] + 48*t[40] - 36*t[45] - (179*t[46])/3 + 
       72*t[47] - 18*t[48] - (41*t[49])/24 + 54*t[50] + (79*t[51])/48 - 
       54*t[52] - (61*t[53])/8 - (61*t[54])/4 - (20*t[59])/3 - 
       (4049*t[60])/12 - (431*t[61])/4 - (12251*t[62])/24 + (7643*t[63])/24 + 
       (3601*t[64])/8 - (463*t[65])/12 + (1661*t[66])/36 - 6*t[69] - 
       6*t[72] + 24*t[73] - 36*t[74] + 84*t[75] - (50*t[76])/3 - 48*t[77] - 
       (200*t[78])/3 + 72*t[80] - (220*t[81])/3 + 60*t[82] + t[83] - 
       (419*t[84])/4 - (1057*t[85])/12 + 540*t[86] + (4325*t[87])/12 + 
       (4565*t[88])/24 - (7883*t[89])/24 + 72*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w]*((-11*t[1])/3 + 27*t[2] - 
       (2345*t[3])/12 + (937*t[4])/6 - (8969*t[5])/24 - (707*t[6])/4 + 
       (3629*t[7])/12 + (2237*t[8])/12 + (15307*t[9])/24 - (604*t[10])/3 + 
       (5203*t[11])/12 + (2437*t[12])/8 + (4589*t[13])/24 + (2341*t[14])/36 - 
       (14297*t[15])/48 + 6*t[17] - (28*t[18])/3 - (5*t[19])/3 + 12*t[21] + 
       4*t[22] - 40*t[23] - 48*t[24] + 12*t[28] - 60*t[31] - 16*t[35] + 
       (92*t[41])/3 - 50*t[42] - (655*t[43])/6 - 48*t[44] + (291*t[45])/2 - 
       36*t[46] + 165*t[47] - (19*t[48])/2 - (105*t[49])/4 + (145*t[50])/2 + 
       (153*t[51])/8 - (145*t[52])/2 + (105*t[53])/4 - 26*t[54] + 
       (94*t[59])/3 - (71*t[60])/2 + (385*t[61])/3 - (1507*t[62])/2 - 
       (2321*t[63])/6 + (5633*t[64])/6 + (734*t[65])/3 - (3907*t[66])/9 - 
       4*t[67] - 18*t[69] + 8*t[70] - 8*t[71] - 6*t[72] + 12*t[74] + 
       (58*t[77])/3 + 126*t[79] + (322*t[80])/3 - 24*t[81] + (70*t[82])/3 + 
       41*t[83] + (3*t[84])/2 - (123*t[85])/2 + (2447*t[86])/3 + 
       (149*t[87])/2 + (149*t[88])/4 + (143*t[89])/12 + 72*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      (t[1]/3 + (46*t[2])/3 - (77*t[3])/3 + (293*t[4])/6 + t[5]/3 + 
       (647*t[6])/12 - (1553*t[7])/12 - (89*t[8])/4 - (149*t[9])/12 + 
       t[10]/3 - (29*t[11])/3 - (195*t[12])/4 + (26527*t[13])/216 + 
       (5897*t[14])/72 - (1249*t[15])/72 + (8*t[17])/3 + (4*t[21])/3 - 
       (2*t[22])/3 - (8*t[23])/3 - (40*t[24])/3 + 18*t[31] - (32*t[34])/3 + 
       40*t[35] - 16*t[37] - 2*t[38] - 4*t[41] + t[42] + (179*t[43])/12 - 
       24*t[44] + (77*t[45])/6 - (86*t[46])/3 + (13*t[47])/3 - (65*t[48])/3 - 
       (43*t[49])/12 - (19*t[50])/3 + (11*t[51])/24 + (49*t[52])/3 + 
       (43*t[53])/12 - (55*t[54])/6 - 2*t[58] - (40*t[59])/3 - 
       (337*t[60])/6 - (881*t[61])/6 + (1441*t[62])/6 + (331*t[63])/2 - 
       (617*t[64])/4 - (1711*t[65])/18 + (2887*t[66])/18 - (16*t[67])/3 - 
       20*t[69] + (4*t[70])/3 - (4*t[71])/3 - 2*t[74] + 8*t[75] - 8*t[76] + 
       6*t[78] - 38*t[79] - (184*t[80])/3 - 3*t[81] + 17*t[82] - 
       (106*t[83])/3 + 8*t[84] + (23*t[85])/2 - (608*t[86])/3 - 
       (19*t[87])/2 - (19*t[88])/4 - (215*t[89])/12 - (2*t[92])/3 + 2*t[94] - 
       24*t[98] + 72*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((121*t[1])/3 - 6*t[2] + (170*t[3])/3 - 
       (87*t[4])/2 + (445*t[5])/12 - (971*t[6])/12 + 22*t[7] - (86*t[8])/3 - 
       (435*t[9])/4 - (410*t[10])/3 + (411*t[11])/4 - (147*t[12])/4 + 
       (1595*t[13])/54 - (7705*t[14])/72 - (3847*t[15])/72 - (2*t[16])/3 - 
       (68*t[25])/3 - (68*t[26])/3 - 28*t[28] - 28*t[31] + 28*t[35] + 
       (70*t[36])/3 - (2*t[37])/3 + (136*t[38])/3 - 28*t[39] + 30*t[40] - 
       28*t[45] - (106*t[46])/3 + 56*t[47] - (379*t[48])/12 - (185*t[49])/6 + 
       (373*t[50])/12 + (647*t[51])/24 - (469*t[52])/12 + (23*t[53])/6 - 
       (1211*t[54])/12 - (82*t[59])/3 - (157*t[60])/6 - (661*t[61])/3 - 
       (703*t[62])/3 - (26*t[63])/3 + (995*t[64])/2 + (1477*t[65])/18 + 
       (2885*t[66])/18 + (2*t[67])/3 - 16*t[69] - (4*t[70])/3 + (4*t[71])/3 - 
       (22*t[74])/3 - 12*t[75] - 2*t[76] - 26*t[77] - 12*t[78] + 20*t[79] + 
       (184*t[80])/3 - 33*t[81] + (95*t[82])/3 + 88*t[83] + (41*t[84])/6 + 
       (124*t[85])/3 + 400*t[86] + 126*t[87] + 96*t[88] + t[89]/4 - 
       (44*t[95])/3 - (40*t[96])/3 + 4*t[97] - 24*t[98] + 72*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-7*t[1])/2 + (27*t[2])/2 + 37*t[3] - (593*t[4])/8 + (215*t[5])/8 - 
       (387*t[6])/16 - (145*t[7])/2 - (397*t[8])/4 + (21*t[9])/4 - 
       (677*t[10])/16 - (1437*t[11])/16 + (689*t[12])/16 + (187*t[13])/9 - 
       (1573*t[14])/32 - (495*t[15])/16 + (3*t[17])/2 + (13*t[19])/6 + 
       7*t[21] - 7*t[23] - 3*t[24] + 4*t[25] - 9*t[26] + 2*t[27] - 4*t[28] - 
       2*t[29] + 2*t[30] - 5*t[31] + (17*t[34])/2 + 13*t[35] + 5*t[37] + 
       t[38]/4 - (23*t[39])/4 + 2*t[40] + (9*t[41])/4 - (9*t[42])/4 - t[43] + 
       2*t[44] - 26*t[45] - (25*t[46])/4 + 46*t[47] - (377*t[48])/16 - 
       (811*t[49])/16 + (543*t[50])/16 + (913*t[51])/32 - (503*t[52])/16 + 
       (591*t[53])/16 + (259*t[54])/16 - t[58] - (9*t[59])/4 - 
       (411*t[60])/8 + (489*t[61])/8 - (41*t[62])/2 + (73*t[63])/2 + 
       (857*t[64])/16 - (199*t[65])/4 - (2071*t[66])/24 - (3*t[67])/2 - 
       7*t[69] - 6*t[72] - 21*t[74] + 35*t[76] - t[77]/2 - (25*t[78])/2 + 
       46*t[79] + 33*t[80] + (9*t[81])/2 + 2*t[82] + (43*t[83])/2 + 
       (3*t[84])/8 + (81*t[85])/8 - 55*t[86] + (495*t[87])/8 + 
       (495*t[88])/16 - (375*t[89])/16 + (3*t[94])/2 - (9*t[96])/2 - 
       2*t[97] + 12*t[98] - 24*t[99] + (147*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-11*t[1])/2 - (11*t[2])/2 + (25*t[3])/2 - (13*t[4])/2 - (55*t[5])/4 - 
       (39*t[6])/2 - (45*t[7])/2 - (89*t[8])/2 - (3*t[9])/4 + (69*t[10])/4 - 
       45*t[11] + 12*t[12] + (275*t[13])/36 - (721*t[14])/24 - 
       (161*t[15])/8 - 2*t[25] - t[26] + 2*t[27] - 4*t[28] - 2*t[29] - 
       2*t[30] + 16*t[31] - 2*t[32] + 2*t[33] + t[34] + 24*t[35] - 8*t[37] + 
       2*t[38] - 4*t[39] + 4*t[40] - t[41]/2 + t[42]/2 - 12*t[43] + 2*t[44] - 
       3*t[45] - 2*t[46] + 4*t[47] - (27*t[48])/2 + (21*t[49])/4 - 
       (7*t[50])/2 + (3*t[51])/8 - (3*t[52])/2 - (21*t[53])/4 - 4*t[54] - 
       t[58] - (21*t[59])/2 - (39*t[60])/2 - (197*t[61])/2 + (139*t[62])/4 + 
       (41*t[63])/4 - (69*t[64])/4 + (137*t[65])/6 + (119*t[66])/2 - 
       8*t[69] + 7*t[76] - 4*t[78] + 2*t[80] - 3*t[81] + 19*t[82] + 
       16*t[83] - (21*t[84])/2 + (39*t[85])/2 - 4*t[86] - (7*t[87])/2 - 
       (7*t[88])/4 + (9*t[89])/4 + t[97] + 24*t[98] - 24*t[99] + 75*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((5*t[1])/2 + (33*t[2])/4 + 42*t[3] - (689*t[4])/12 + (215*t[5])/12 - 
       (947*t[6])/12 + (77*t[7])/8 - (663*t[8])/8 - (1253*t[9])/24 + 
       (1057*t[10])/12 - (3773*t[11])/24 - (37*t[12])/8 - (22535*t[13])/144 - 
       (12685*t[14])/144 + (193*t[15])/48 - (23*t[17])/6 - (4*t[18])/3 - 
       6*t[19] + (26*t[21])/3 - (2*t[22])/3 - (31*t[23])/3 + (16*t[24])/3 - 
       (14*t[31])/3 - (8*t[34])/3 - 36*t[35] + 18*t[37] - t[38] - 
       (14*t[41])/3 + (19*t[42])/6 + (9*t[43])/8 + 14*t[44] + (65*t[45])/4 + 
       (52*t[46])/3 - (169*t[47])/6 + (359*t[48])/24 - (5*t[49])/8 - 
       (17*t[50])/24 - (289*t[51])/48 + (65*t[52])/24 + (5*t[53])/8 + 
       (13*t[54])/8 - t[58] - (8*t[59])/3 - (323*t[60])/6 - (437*t[61])/2 + 
       (757*t[62])/8 + (709*t[63])/24 - (335*t[64])/12 - (151*t[65])/36 + 
       (8113*t[66])/36 + (4*t[67])/3 - 4*t[69] - (4*t[70])/3 + (4*t[71])/3 + 
       14*t[74] + 4*t[75] - 4*t[76] + 3*t[78] + 41*t[79] - (80*t[80])/3 - 
       3*t[81] + 10*t[82] - (67*t[83])/3 - (5*t[84])/2 - 9*t[85] - 
       (62*t[86])/3 - (13*t[87])/3 - (13*t[88])/6 - 6*t[89] - t[92]/3 - 
       2*t[94] - 12*t[98] + 76*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-35*t[1])/6 - 3*t[2] - (21*t[3])/2 + 
       (193*t[4])/4 - (19*t[5])/24 + (193*t[6])/12 - (61*t[7])/3 - 
       (86*t[8])/3 + (127*t[9])/24 + 74*t[10] - (257*t[11])/12 - 
       (93*t[12])/8 + (331*t[13])/108 + (239*t[14])/16 + (289*t[15])/16 + 
       3*t[25] + (7*t[26])/3 + 12*t[28] + 12*t[31] - 12*t[35] - 
       (53*t[36])/3 - (5*t[37])/3 - (16*t[38])/3 + 12*t[39] - 11*t[40] + 
       12*t[45] + (53*t[46])/3 - 24*t[47] - (7*t[48])/12 + (139*t[49])/12 - 
       (45*t[50])/4 - (109*t[51])/16 + (29*t[52])/4 - (119*t[53])/12 + 
       (28*t[54])/3 + t[59] + 17*t[60] + (133*t[61])/3 + (559*t[62])/8 - 
       (417*t[63])/8 - (1697*t[64])/12 - (129*t[65])/4 - (371*t[66])/12 + 
       (4*t[70])/3 - (4*t[71])/3 + (23*t[74])/3 + 16*t[75] - t[76] + 
       13*t[77] + 9*t[78] - 10*t[79] - (80*t[80])/3 + 13*t[81] - 
       (52*t[82])/3 - 30*t[83] + t[84]/12 - (47*t[85])/4 - 154*t[86] - 
       (209*t[87])/4 - (181*t[88])/8 + (509*t[89])/24 + (2*t[95])/3 + 
       (2*t[96])/3 + 2*t[97] - 12*t[98] + 76*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-9*t[1])/4 + (23*t[2])/4 + (115*t[3])/6 - (155*t[4])/12 - 
       (34*t[5])/3 - (277*t[6])/16 + (383*t[7])/12 - (659*t[8])/12 + 
       (453*t[9])/8 - (285*t[10])/8 - (1477*t[11])/48 - (551*t[12])/24 - 
       (47*t[13])/8 - (311*t[14])/24 - (2507*t[15])/144 + t[17]/2 - 2*t[20] - 
       2*t[21] + 2*t[23] - t[24] + (10*t[27])/3 - (5*t[28])/3 + 
       (19*t[29])/6 - (47*t[30])/3 - 2*t[31] - 9*t[32] - 9*t[33] + 
       (15*t[34])/2 + 7*t[35] + 6*t[36] - t[38]/2 + (19*t[39])/6 + 3*t[40] - 
       (17*t[41])/4 + (17*t[42])/4 + (7*t[43])/2 + (29*t[44])/6 - 7*t[45] + 
       t[46] + 11*t[47] - (85*t[48])/48 - (23*t[49])/8 + (155*t[50])/48 - 
       (47*t[51])/48 - (515*t[52])/48 + (7*t[53])/8 - (257*t[54])/16 - 
       t[55] - (3*t[59])/2 + (329*t[60])/24 - (585*t[61])/8 + (255*t[62])/8 - 
       (137*t[63])/24 - (2065*t[64])/48 + (2731*t[65])/36 + (1207*t[66])/72 - 
       t[68]/2 + 2*t[69] - 4*t[70] + 4*t[71] - (17*t[72])/3 + 14*t[73] + 
       25*t[75] + (21*t[76])/2 + (3*t[77])/2 - (5*t[78])/2 - (5*t[79])/2 + 
       7*t[80] + (28*t[81])/3 - (11*t[82])/3 - (169*t[83])/6 + 
       (511*t[84])/24 + (619*t[85])/24 + (23*t[86])/2 - (469*t[87])/24 - 
       (1117*t[88])/48 + (1229*t[89])/48 + t[96]/2 - (7*t[97])/2 + 96*t[98] - 
       136*t[99] + 76*t[100]) + HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w]*
      ((-11*t[1])/2 - (31*t[2])/2 - (121*t[3])/4 + (87*t[4])/2 + 
       (815*t[5])/4 + (221*t[6])/4 - (959*t[7])/4 + (1039*t[8])/4 - 
       242*t[9] + (1513*t[10])/8 - 184*t[11] - (1179*t[12])/8 + 
       (5381*t[13])/72 + (224*t[14])/3 + (1141*t[15])/12 + 18*t[25] - 
       21*t[26] - 4*t[27] + 6*t[29] - 2*t[30] - 2*t[31] - 12*t[32] + 
       12*t[33] + 14*t[34] + 34*t[35] - 15*t[36] - 3*t[37] - 7*t[38] - 
       17*t[39] + 9*t[40] - 7*t[41] + 7*t[42] + (71*t[43])/2 - 21*t[44] - 
       (3*t[45])/2 - 16*t[46] - 9*t[47] + (309*t[48])/4 + (159*t[49])/8 - 
       (385*t[50])/4 - t[51]/8 + (273*t[52])/4 - (515*t[53])/8 + 
       (233*t[54])/4 - 6*t[58] + (33*t[59])/2 + (843*t[60])/4 + 43*t[61] + 
       157*t[62] + 172*t[63] - (357*t[64])/2 + (641*t[65])/4 + 
       (169*t[66])/12 - 2*t[67] - 6*t[70] + 6*t[71] - 36*t[72] - 20*t[73] - 
       t[74] + 84*t[75] - 54*t[76] + 7*t[77] + 210*t[78] - 32*t[79] + 
       164*t[80] + (39*t[81])/2 - (15*t[82])/2 - 86*t[83] + (305*t[84])/4 + 
       (23*t[85])/2 - 183*t[86] - 121*t[87] - (15*t[88])/2 + (279*t[89])/8 - 
       2*t[93] - 6*t[95] - 40*t[96] - 7*t[97] - 12*t[98] + 78*t[100]) + 
     HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u]*((-59*t[1])/2 + (65*t[2])/2 + 
       (237*t[3])/2 + 24*t[4] + (821*t[5])/8 - (885*t[6])/8 - (1341*t[7])/8 - 
       (1007*t[8])/8 - (917*t[9])/4 - (453*t[10])/8 - (519*t[11])/4 - 
       (649*t[12])/8 - (7541*t[13])/48 - (419*t[14])/3 - (1033*t[15])/24 - 
       2*t[17] - 6*t[18] - 12*t[19] + 36*t[20] + 6*t[21] + 14*t[22] - 
       16*t[23] + 6*t[24] + 8*t[25] - 8*t[26] - 2*t[27] + 44*t[28] + 
       15*t[29] + 36*t[30] - 4*t[31] + 8*t[32] + 2*t[33] - 30*t[34] - 
       24*t[35] + 12*t[36] + 24*t[37] - 12*t[38] + 18*t[39] + 8*t[40] - 
       (3*t[41])/2 - (13*t[42])/2 + (161*t[43])/8 - (11*t[44])/2 + 
       (117*t[45])/4 - (19*t[46])/2 - (93*t[47])/2 + 89*t[48] + 
       (121*t[49])/4 - (95*t[50])/2 - (5*t[51])/8 + (99*t[52])/2 - 
       (145*t[53])/4 - 40*t[54] + 2*t[56] + t[58] + 12*t[59] - 
       (317*t[60])/2 - (413*t[61])/2 + (311*t[62])/2 + (283*t[63])/2 + 
       (223*t[64])/4 - (281*t[65])/3 + (1195*t[66])/6 + 6*t[74] - 6*t[76] - 
       8*t[77] - t[78] - 2*t[80] - 15*t[81] + 5*t[82] - 20*t[84] + t[85] - 
       32*t[86] + 28*t[87] + 14*t[88] - (337*t[89])/4 + 2*t[92] - 2*t[94] + 
       2*t[97] - 12*t[98] + 78*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((7*t[1])/6 - (13*t[2])/6 - (115*t[3])/8 - 
       (139*t[4])/6 + (4133*t[5])/48 - (763*t[6])/24 - (211*t[7])/24 + 
       (11*t[8])/24 - (3893*t[9])/48 + (1159*t[10])/24 + (925*t[11])/24 - 
       (1861*t[12])/48 + (1075*t[13])/432 + (1337*t[14])/48 + 
       (16151*t[15])/288 - (8*t[26])/3 + (16*t[27])/3 + (4*t[28])/3 - 
       (16*t[29])/3 + (16*t[30])/3 - 20*t[31] - (16*t[32])/3 + (16*t[33])/3 + 
       (8*t[34])/3 - 32*t[35] + 10*t[37] - (14*t[39])/3 + (38*t[40])/3 - 
       (4*t[41])/3 + (4*t[42])/3 + (193*t[43])/12 - (8*t[44])/3 + 
       (53*t[45])/6 + 3*t[46] - 23*t[47] - (83*t[48])/12 + (37*t[49])/6 - 
       (17*t[50])/4 - (17*t[51])/6 - (109*t[52])/12 - (37*t[53])/6 - 
       (101*t[54])/12 - (8*t[58])/3 + (23*t[59])/2 + (19*t[60])/6 + 
       (581*t[61])/6 - (215*t[62])/6 + (685*t[63])/6 - (37*t[64])/2 - 
       (557*t[65])/36 - (331*t[66])/36 + 10*t[69] + (56*t[76])/3 + t[77] - 
       (32*t[78])/3 + (31*t[80])/3 + 8*t[81] - (23*t[82])/2 - 5*t[83] - 
       (9*t[84])/2 - (37*t[85])/6 - 17*t[86] - (109*t[87])/6 - 
       (109*t[88])/12 - (125*t[89])/4 + (8*t[97])/3 + 140*t[98] - 152*t[99] + 
       82*t[100]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((19*t[1])/3 + (57*t[2])/4 + 4*t[3] - (159*t[4])/4 + (25*t[5])/2 + 
       (599*t[6])/24 + (301*t[7])/8 + (871*t[8])/24 + (461*t[9])/24 - 
       41*t[10] + (135*t[11])/4 - (155*t[12])/8 + (6575*t[13])/144 - 
       (1723*t[14])/144 + (701*t[15])/144 + (29*t[17])/6 - (10*t[18])/3 - 
       2*t[19] + (22*t[21])/3 - 10*t[23] - 6*t[24] + 4*t[30] + 20*t[31] - 
       2*t[37] - 4*t[39] + (2*t[41])/3 - t[42] + (71*t[43])/24 - 4*t[44] + 
       t[45]/12 + (5*t[46])/2 - (113*t[47])/6 - (115*t[48])/12 + 
       (167*t[49])/24 - (139*t[50])/12 - (41*t[51])/48 + (139*t[52])/12 - 
       (167*t[53])/24 - 3*t[54] + t[59]/3 - (31*t[60])/2 - 5*t[61] - 
       (1519*t[62])/12 - (277*t[63])/4 + (106*t[64])/3 + (434*t[65])/9 - 
       (916*t[66])/9 - 2*t[67] - 16*t[69] + 2*t[70] - 2*t[71] - 2*t[72] + 
       (8*t[74])/3 - 4*t[75] - t[77] - 28*t[79] + 12*t[80] - t[81] - 
       7*t[82] + 25*t[83] - (55*t[84])/3 + (161*t[85])/6 + (403*t[86])/3 + 
       (95*t[87])/6 + (95*t[88])/12 + (111*t[89])/4 - t[94]/3 + 24*t[99] + 
       82*t[100]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      (-6*t[1] + (13*t[3])/3 - (751*t[4])/12 - (13*t[5])/6 + (9*t[6])/8 - 
       (10*t[7])/3 - 12*t[8] + (59*t[9])/6 - (203*t[10])/6 - (209*t[11])/8 + 
       (311*t[12])/6 - (653*t[13])/36 - (4753*t[14])/144 + (67*t[15])/36 - 
       (5*t[16])/3 - (25*t[25])/3 + 11*t[26] + 4*t[29] - (14*t[36])/3 + 
       (10*t[37])/3 - 4*t[38] - (17*t[46])/6 - (39*t[48])/8 - 
       (137*t[49])/12 - (149*t[50])/24 + (179*t[51])/16 + (149*t[52])/24 + 
       (283*t[53])/12 + (197*t[54])/8 + (10*t[59])/3 - (421*t[60])/12 - 
       (517*t[61])/12 + (169*t[62])/4 + 5*t[63] + (75*t[64])/8 + 
       (361*t[65])/12 + (1819*t[66])/36 + (2*t[67])/3 - 6*t[69] - 
       (8*t[70])/3 + (8*t[71])/3 - 4*t[73] + (14*t[74])/3 - 10*t[75] - 
       2*t[79] + 2*t[80] - (5*t[81])/6 + (17*t[82])/6 - 5*t[83] - 
       (43*t[84])/4 - (22*t[85])/3 - 22*t[86] + (27*t[87])/2 - 
       (11*t[88])/12 + (125*t[89])/12 + (4*t[95])/3 + 24*t[99] + 82*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((14*t[1])/3 - t[2] - (9*t[3])/2 + (37*t[4])/2 + (19*t[5])/12 - 
       (38*t[6])/3 - (115*t[7])/12 + (121*t[8])/12 - 10*t[9] - 
       (47*t[10])/12 - (9*t[11])/4 - (15*t[12])/4 + (1445*t[13])/54 - 
       (3619*t[14])/144 - (17*t[15])/36 + t[16]/3 + (2*t[19])/3 + 
       (5*t[25])/3 - 5*t[26] + (8*t[27])/3 - 5*t[28] + 4*t[30] - t[31] - 
       2*t[32] + 2*t[33] - t[34] + 6*t[35] - (5*t[36])/3 - (2*t[37])/3 + 
       4*t[38] - (5*t[39])/3 - (8*t[40])/3 + t[41]/2 - t[42]/2 + t[43] - 
       7*t[45] - 3*t[46] + 12*t[47] + (55*t[48])/12 + (13*t[49])/4 - 
       (73*t[50])/12 + (397*t[51])/48 + (31*t[52])/4 - (49*t[53])/12 + 
       (17*t[54])/12 + (2*t[58])/3 - (23*t[59])/12 - (439*t[60])/16 + 
       (103*t[61])/48 - (1591*t[62])/48 - (1373*t[63])/16 + 
       (14291*t[64])/96 - (2083*t[65])/18 - (15829*t[66])/144 - (8*t[68])/3 + 
       3*t[69] - (10*t[70])/3 + (10*t[71])/3 - 6*t[72] - 2*t[73] + t[74]/3 - 
       7*t[75] + (53*t[76])/2 + (29*t[77])/3 - (31*t[78])/3 - (31*t[79])/2 - 
       (67*t[80])/4 - (28*t[81])/3 - (65*t[82])/6 + (3*t[83])/2 - 
       (821*t[84])/24 - (691*t[85])/24 - (265*t[86])/8 + (989*t[87])/24 + 
       (325*t[88])/48 + (2003*t[89])/96 - (2*t[95])/3 + (40*t[96])/3 - 
       t[97]/6 + 56*t[98] - 42*t[99] + 83*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((95*t[1])/12 + (137*t[2])/12 - (485*t[3])/16 - (5923*t[4])/48 + 
       (205*t[5])/12 + (579*t[6])/32 + (3713*t[7])/48 + (2633*t[8])/48 + 
       (211*t[9])/3 + (1231*t[10])/96 + (135*t[11])/32 + (5921*t[12])/96 - 
       (32773*t[13])/864 + (7505*t[14])/192 + (155*t[15])/12 + t[16]/2 - 
       t[17]/2 + (8*t[18])/3 + 4*t[19] - 8*t[20] - (4*t[21])/3 + 10*t[22] + 
       (4*t[23])/3 - (8*t[24])/3 + t[25] + (37*t[26])/6 + 2*t[28] - 
       (77*t[29])/12 + (7*t[30])/3 - 5*t[31] - (7*t[32])/6 - (13*t[33])/2 + 
       (43*t[34])/2 - 4*t[35] - 3*t[36] - 3*t[37] - (7*t[38])/6 + 
       (77*t[39])/6 - (71*t[40])/6 - (31*t[41])/12 + (43*t[42])/12 + 
       (55*t[43])/48 + (145*t[44])/24 - (457*t[45])/24 + (29*t[46])/2 + 
       (421*t[47])/12 + (2065*t[48])/96 - (1993*t[49])/96 + (367*t[50])/32 + 
       (67*t[51])/192 - (349*t[52])/96 + (691*t[53])/32 + (2245*t[54])/96 + 
       (11*t[56])/6 + (13*t[57])/3 + (13*t[58])/6 - (67*t[59])/12 - 
       (385*t[60])/12 + (265*t[61])/4 - (1703*t[62])/24 - (731*t[63])/24 + 
       (4955*t[64])/24 + (4565*t[65])/36 + (199*t[66])/4 - t[67]/6 - 
       t[68]/3 + 5*t[69] - 6*t[70] + 6*t[71] - 2*t[72] - 10*t[73] + 
       (22*t[74])/3 + 21*t[75] + 11*t[76] + 7*t[77] - (23*t[78])/6 + 
       19*t[79] + (97*t[80])/3 - 11*t[81] + (43*t[82])/3 - (33*t[83])/2 + 
       (14*t[84])/3 - (493*t[85])/12 + 28*t[86] + (143*t[87])/4 + 
       (143*t[88])/8 + (733*t[89])/24 + (4*t[90])/3 + (2*t[92])/3 + t[94]/3 + 
       (5*t[97])/6 + 56*t[98] - 42*t[99] + 83*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (-3*t[1] + (31*t[2])/4 + (39*t[3])/4 + (5*t[4])/2 - (171*t[5])/8 - 
       (67*t[6])/4 - 20*t[7] - 8*t[8] - (3*t[9])/8 + 39*t[10] - 
       (155*t[11])/4 + (29*t[12])/8 - (71*t[13])/6 - (889*t[14])/24 - 
       (787*t[15])/48 - 8*t[19] + 4*t[21] - 4*t[23] - 3*t[24] + 2*t[27] - 
       4*t[28] - 2*t[29] + 2*t[30] + 15*t[31] + 10*t[35] - 2*t[37] - 
       2*t[39] + 2*t[41] - 2*t[42] + t[43]/2 - t[44] - 3*t[45] + 17*t[47] - 
       (31*t[48])/4 - (9*t[49])/2 - (27*t[50])/4 + (5*t[51])/4 + 
       (27*t[52])/4 + (9*t[53])/2 - (9*t[54])/4 - 6*t[59] - (53*t[60])/4 - 
       (197*t[61])/4 + (81*t[62])/8 + (155*t[63])/8 + (397*t[64])/8 + 
       (19*t[65])/12 + (71*t[66])/6 - 4*t[69] + 2*t[72] + 3*t[74] - 3*t[75] - 
       3*t[78] + (15*t[79])/2 - 5*t[81] + 9*t[82] + 20*t[83] - 8*t[84] + 
       (29*t[85])/2 - (15*t[86])/2 + (29*t[87])/2 + (29*t[88])/4 + 
       (155*t[89])/8 - 6*t[99] + 84*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(-4*t[1] - (23*t[2])/12 + 
       (221*t[3])/12 - (177*t[4])/8 + (679*t[5])/24 - (11*t[6])/8 + 
       (847*t[7])/12 + 38*t[8] - (425*t[9])/24 - (1843*t[10])/48 - 
       (1079*t[11])/24 - (71*t[12])/16 - (3583*t[13])/72 - (5843*t[14])/96 - 
       2*t[15] - t[17]/2 - (16*t[19])/3 - 6*t[21] + 6*t[23] - (4*t[25])/3 + 
       (8*t[26])/3 - (2*t[27])/3 - (2*t[28])/3 + (2*t[29])/3 + (16*t[30])/3 + 
       (17*t[31])/3 - t[34]/3 + 10*t[35] + 6*t[37] - t[38] - (10*t[39])/3 - 
       (2*t[40])/3 - (29*t[41])/6 + (29*t[42])/6 - (13*t[43])/3 - 
       (2*t[44])/3 + 2*t[45] + (10*t[46])/3 - (71*t[48])/8 + (295*t[49])/48 + 
       (131*t[50])/24 - (245*t[51])/32 - (91*t[52])/24 - (295*t[53])/48 - 
       (61*t[54])/6 + t[58]/3 - t[59]/6 - (145*t[60])/12 - (55*t[61])/2 - 
       (1895*t[62])/48 - (4973*t[63])/48 + (57*t[64])/2 - (67*t[65])/72 + 
       (2923*t[66])/36 + t[67]/2 + 6*t[69] - t[72] + 4*t[74] - 2*t[75] + 
       (5*t[76])/3 + t[77]/6 + (19*t[78])/3 - 29*t[79] - 9*t[80] - 
       (37*t[81])/6 + (25*t[82])/6 + (19*t[83])/3 - (52*t[84])/3 - 
       (5*t[85])/12 + 83*t[86] + (215*t[87])/12 + (215*t[88])/24 + 
       (43*t[89])/2 - t[94]/2 + 3*t[96] + (5*t[97])/3 + 20*t[98] - 20*t[99] + 
       (169*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, w, v]*
      ((32*t[1])/3 + (160*t[3])/9 - (352*t[4])/9 + (136*t[5])/3 - 84*t[6] + 
       (568*t[7])/9 + (376*t[8])/9 - (392*t[9])/9 - (40*t[10])/9 - 
       (836*t[11])/9 - (64*t[12])/3 + (568*t[13])/27 - (1844*t[14])/27 - 
       (212*t[15])/27 - 32*t[31] - (176*t[43])/9 - (32*t[46])/3 + 
       (20*t[48])/3 + (208*t[49])/9 + (316*t[50])/9 - (32*t[51])/9 - 
       (316*t[52])/9 - (208*t[53])/9 - (284*t[54])/9 + (32*t[59])/3 - 
       88*t[60] - (152*t[61])/3 - (712*t[62])/9 - (728*t[63])/9 + 
       (1076*t[64])/9 - (952*t[65])/27 + (1384*t[66])/27 - (64*t[74])/3 + 
       16*t[79] - 16*t[81] + 16*t[82] + (256*t[83])/9 - (128*t[84])/9 - 
       (376*t[85])/9 + (1520*t[86])/9 + (632*t[87])/9 + (316*t[88])/9 - 
       (124*t[89])/9 + (256*t[100])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - u]*((-13*t[1])/2 - (14*t[2])/3 + (31*t[3])/2 - 
       (193*t[4])/12 - (31*t[5])/12 - (59*t[6])/24 - (1447*t[7])/24 - 
       (279*t[8])/8 - (317*t[9])/8 + (209*t[10])/12 - (118*t[11])/3 + 
       (41*t[12])/24 - (189*t[13])/16 - (8707*t[14])/144 - (227*t[15])/144 - 
       t[17]/3 - 2*t[18] - (13*t[21])/3 - (4*t[22])/3 + 5*t[23] - 
       (4*t[25])/3 + (7*t[26])/3 + (4*t[27])/3 + 5*t[31] + (4*t[32])/3 - 
       (4*t[33])/3 - (26*t[34])/3 + 2*t[35] + t[37] + (4*t[38])/3 + 
       (4*t[39])/3 - 3*t[41] + (4*t[42])/3 + (35*t[43])/8 + (2*t[44])/3 + 
       (139*t[45])/12 + (9*t[46])/2 - (59*t[47])/2 + (13*t[48])/4 - 
       (83*t[49])/8 + (3*t[50])/4 + (95*t[51])/48 - (41*t[52])/12 + 
       (83*t[53])/8 + 2*t[54] + t[58]/3 - (19*t[59])/2 - (148*t[60])/3 - 
       (509*t[61])/3 + (2635*t[62])/24 - (497*t[63])/24 - (79*t[64])/2 + 
       (45*t[65])/4 + (253*t[66])/3 + t[67]/3 + 3*t[69] + (8*t[70])/3 - 
       (8*t[71])/3 + 2*t[74] - 10*t[76] + (8*t[78])/3 + 5*t[79] - 
       (43*t[80])/3 - (35*t[81])/3 + (37*t[82])/3 + (23*t[83])/6 + 
       (19*t[84])/12 - (43*t[85])/4 - (124*t[86])/3 + (125*t[87])/4 + 
       (125*t[88])/8 + (61*t[89])/4 - t[94]/3 - (8*t[97])/3 - 64*t[98] + 
       56*t[99] + (175*t[100])/2) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-8*t[2] + t[3] - 39*t[4] - (63*t[5])/4 - 
       (51*t[6])/2 + 46*t[7] - 2*t[8] + (287*t[9])/4 - 75*t[10] + 116*t[11] + 
       (265*t[12])/4 + (1505*t[13])/36 - (20*t[14])/3 - (811*t[15])/24 - 
       2*t[36] + 8*t[41] - 8*t[42] + (23*t[43])/2 - 48*t[45] - t[46] + 
       84*t[47] - (3*t[48])/2 - t[49] - t[50]/2 + (13*t[51])/4 + t[52]/2 + 
       t[53] - (5*t[54])/2 + 8*t[59] - 19*t[60] + 142*t[61] - (239*t[62])/2 + 
       (119*t[63])/2 + 236*t[64] - (9*t[65])/2 - (1487*t[66])/6 - 12*t[73] + 
       10*t[75] + 20*t[77] - 2*t[79] + 128*t[80] - t[81] + 17*t[82] - 
       4*t[83] + (11*t[84])/2 + 5*t[85] + 52*t[86] - 4*t[87] - 2*t[88] - 
       (65*t[89])/2 + (189*t[100])/2) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-6*t[1] - (11*t[2])/4 + (21*t[3])/4 + 
       (13*t[4])/4 - (335*t[5])/8 + (223*t[6])/8 + (127*t[7])/4 - 108*t[8] + 
       (235*t[9])/8 + (211*t[10])/8 + (91*t[11])/8 - 3*t[12] - 
       (2279*t[13])/24 + (4145*t[14])/48 - (1079*t[15])/48 - (3*t[17])/2 - 
       (46*t[19])/3 - 11*t[21] + 11*t[23] + 6*t[24] + 24*t[31] - 2*t[35] + 
       22*t[37] - (11*t[41])/2 + (11*t[42])/2 + 3*t[43] + 54*t[45] + 
       (3*t[46])/2 - 58*t[47] - (157*t[48])/8 - (155*t[49])/8 - 
       (33*t[50])/8 - (181*t[51])/16 + (33*t[52])/8 + (155*t[53])/8 - 
       (33*t[54])/8 - 6*t[59] - (21*t[60])/2 - 30*t[61] - (61*t[62])/2 + 
       (795*t[63])/4 - (265*t[64])/2 - (85*t[65])/6 + (137*t[66])/4 + 
       (3*t[67])/2 + 11*t[69] + 15*t[74] + 28*t[76] - 36*t[78] - 21*t[79] - 
       66*t[80] - 15*t[81] - t[82] - (21*t[83])/2 - (5*t[84])/4 + 
       (39*t[85])/4 - 68*t[86] - (249*t[87])/4 - (249*t[88])/8 - 71*t[89] - 
       (3*t[94])/2 + (189*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*((43*t[1])/6 + (37*t[2])/6 + 22*t[3] - 
       (77*t[4])/12 + (487*t[5])/24 - (809*t[6])/24 + (425*t[7])/24 - 
       (977*t[8])/24 - (191*t[9])/4 + 5*t[10] - (109*t[11])/12 - 
       (125*t[12])/6 - (2839*t[13])/432 - (2593*t[14])/144 + (11*t[15])/6 - 
       (8*t[17])/3 + 3*t[18] - 5*t[19] + (5*t[21])/3 - (17*t[23])/3 + 
       (4*t[24])/3 - t[26]/3 + (2*t[27])/3 + (2*t[28])/3 - (2*t[29])/3 + 
       (2*t[30])/3 - 8*t[31] - (2*t[32])/3 + (2*t[33])/3 - (7*t[34])/3 - 
       4*t[35] + 4*t[37] - (4*t[39])/3 + (4*t[40])/3 - (25*t[41])/3 + 
       (26*t[42])/3 + (179*t[43])/24 + (8*t[44])/3 - (79*t[45])/12 - 
       (17*t[46])/6 + (149*t[47])/6 + (19*t[48])/3 + (45*t[49])/8 + 5*t[50] - 
       (25*t[51])/48 - 4*t[52] - (45*t[53])/8 - (9*t[54])/4 - t[58]/3 + 
       (5*t[59])/2 - (257*t[60])/4 + (61*t[61])/4 - (515*t[62])/24 + 
       (1247*t[63])/24 + (753*t[64])/8 - (2399*t[65])/36 - (281*t[66])/36 - 
       4*t[67] - 11*t[69] + (5*t[70])/3 - (5*t[71])/3 + 2*t[72] - 
       (52*t[74])/3 + 4*t[75] - 3*t[76] - 4*t[77] + (4*t[78])/3 - 26*t[80] - 
       (7*t[81])/3 + (29*t[82])/3 - 3*t[83] - (41*t[84])/12 - (31*t[85])/12 - 
       (35*t[86])/3 + (245*t[87])/12 + (245*t[88])/24 - (593*t[89])/24 + 
       (4*t[94])/3 + t[97]/3 - 16*t[98] - 8*t[99] + 95*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((23*t[1])/12 - (3*t[2])/4 + (77*t[3])/12 + (173*t[4])/24 + 
       (143*t[5])/24 - (157*t[6])/8 + (23*t[7])/2 + (16*t[8])/3 - 
       (637*t[9])/24 - (139*t[10])/48 + (787*t[11])/24 + (49*t[12])/16 + 
       (101*t[13])/36 - (6203*t[14])/288 - (145*t[15])/18 + (7*t[16])/6 + 
       t[19] - t[25] + (8*t[26])/3 + 2*t[27] - 8*t[28] - t[29] - 10*t[31] - 
       t[34]/2 + 7*t[35] + 7*t[36] - (10*t[37])/3 - (3*t[38])/2 - 
       (28*t[39])/3 + (23*t[40])/3 + t[41]/4 - t[42]/4 - (23*t[45])/3 - 
       (15*t[46])/2 + (46*t[47])/3 - (233*t[48])/24 + t[49]/16 + 
       (295*t[50])/24 + (415*t[51])/96 - (299*t[52])/24 - (11*t[53])/48 - 
       25*t[54] + t[58] - (5*t[59])/12 - (721*t[60])/24 - (1709*t[61])/24 - 
       (1415*t[62])/16 - (1535*t[63])/48 + (5447*t[64])/48 + 
       (1865*t[65])/72 + (2335*t[66])/72 - t[67]/6 + t[70] - t[71] + 
       4*t[72] - 11*t[74] - t[75] - (13*t[76])/3 - (22*t[77])/3 - 
       (55*t[78])/6 - 3*t[79] + (34*t[80])/3 - (25*t[81])/3 + (17*t[82])/3 + 
       (61*t[83])/2 - (91*t[84])/8 - (79*t[85])/24 + (352*t[86])/3 + 
       (1273*t[87])/24 + (1385*t[88])/48 - (289*t[89])/48 - (8*t[95])/3 - 
       (8*t[96])/3 + (5*t[97])/6 - 32*t[98] + 24*t[99] + (575*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]^2*(48*t[98] - 78*t[99] + 
       (201*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]^2*
      (-t[1] - (37*t[2])/4 + (227*t[3])/8 - (3*t[4])/2 - (31*t[5])/4 - 
       (39*t[6])/2 - 5*t[7] - (57*t[8])/2 + 2*t[9] + (21*t[10])/2 - 
       (143*t[11])/4 - 10*t[12] - (1123*t[13])/72 - (1199*t[14])/24 - 
       (2375*t[15])/144 - 2*t[18] - 4*t[19] - 9*t[20] - 3*t[21] + 6*t[22] + 
       4*t[23] - 2*t[24] + 5*t[27] + (9*t[29])/2 - t[30] - (9*t[32])/2 - 
       t[33] - 2*t[34] + t[37] - 2*t[39] + t[40] - (3*t[41])/2 + 
       (3*t[42])/2 + t[43]/2 + (31*t[44])/4 - 5*t[45] + t[46] + 12*t[47] - 
       (47*t[48])/4 - (3*t[49])/4 + (17*t[50])/4 - (11*t[51])/8 - 
       (45*t[52])/4 + (3*t[53])/4 - (29*t[54])/2 - t[59] - (41*t[60])/2 - 
       (375*t[61])/4 + (39*t[62])/2 - (81*t[63])/2 + (59*t[64])/8 + 
       (47*t[65])/3 + (103*t[66])/3 + 3*t[69] - t[70] + t[71] - 4*t[72] + 
       4*t[76] + 2*t[77] - 15*t[78] - 2*t[80] + t[81] - 2*t[82] - 
       (51*t[84])/4 + (53*t[85])/4 + 5*t[86] + (17*t[87])/4 - (47*t[88])/8 + 
       15*t[89] + t[96] - 2*t[97] + 48*t[98] - 78*t[99] + (201*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((5*t[1])/12 + (31*t[2])/4 - (25*t[3])/72 + (2201*t[4])/36 - 
       (2047*t[5])/48 - (149*t[6])/48 - (635*t[7])/36 + (431*t[8])/18 + 
       (2731*t[9])/144 + (197*t[10])/9 - (4463*t[11])/144 - (827*t[12])/48 + 
       (5795*t[13])/432 - (16769*t[14])/432 - (12649*t[15])/864 - t[17]/2 - 
       (4*t[18])/3 - 2*t[19] - (4*t[21])/3 - (4*t[22])/3 - (4*t[23])/3 - 
       (7*t[24])/3 + (2*t[25])/3 + (11*t[26])/6 + (4*t[27])/3 - 3*t[28] + 
       2*t[30] - (55*t[31])/6 + t[32] - t[33] - (9*t[34])/2 - 3*t[35] + 
       2*t[37] - (8*t[38])/3 - t[39] - (5*t[40])/2 - (15*t[41])/4 + 
       (43*t[42])/12 - (715*t[43])/72 - (16*t[44])/3 - (43*t[45])/4 - 
       (21*t[46])/4 + (101*t[47])/6 - (247*t[48])/48 + (67*t[49])/36 + 
       (2155*t[50])/144 - (179*t[51])/144 - (1075*t[52])/144 - 
       (67*t[53])/36 - (2195*t[54])/144 - t[58]/6 - (5*t[59])/6 - 
       (1337*t[60])/24 - (3139*t[61])/24 + (2207*t[62])/36 + (133*t[63])/9 - 
       (8881*t[64])/144 + (1135*t[65])/216 + (19001*t[66])/216 + t[67]/6 + 
       (7*t[70])/3 - (7*t[71])/3 - (5*t[74])/6 - (37*t[76])/6 - (2*t[77])/3 + 
       (4*t[78])/3 + (4*t[79])/3 - 42*t[80] - (35*t[81])/4 + (25*t[82])/4 + 
       (167*t[83])/18 - (65*t[84])/9 + (169*t[85])/72 - (137*t[86])/18 + 
       (1087*t[87])/72 + (1087*t[88])/144 + (233*t[89])/144 - t[94]/3 - 
       t[97] - 32*t[98] + 24*t[99] + (605*t[100])/6) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*((209*t[1])/12 + 
       (59*t[2])/12 + (7193*t[3])/48 - (587*t[4])/6 + (359*t[5])/32 - 
       (2981*t[6])/48 + (1937*t[7])/48 - (4489*t[8])/48 - (26185*t[9])/96 + 
       (3131*t[10])/16 - (1359*t[11])/16 - (1277*t[12])/96 - 
       (22375*t[13])/864 - (26599*t[14])/96 + (21805*t[15])/192 - 
       (33*t[17])/2 - (13*t[18])/2 + 3*t[19] + 36*t[20] - 9*t[21] - 
       (51*t[22])/2 + 9*t[23] - 16*t[24] - 2*t[25] + (7*t[26])/2 + 11*t[27] - 
       (75*t[28])/2 - 18*t[29] + 15*t[30] + 11*t[31] - t[32]/2 - 
       (41*t[33])/2 - (253*t[34])/6 - 36*t[35] - (57*t[37])/2 + 
       (26*t[38])/3 - (19*t[39])/2 + (47*t[40])/4 - (59*t[41])/4 + 
       (79*t[42])/6 - (95*t[43])/8 + (41*t[44])/2 - (241*t[45])/3 + 
       (289*t[46])/12 + (955*t[47])/12 - (1435*t[48])/24 - (1931*t[49])/24 + 
       (2383*t[50])/24 + (1037*t[51])/24 - (905*t[52])/8 + (1931*t[53])/24 - 
       (757*t[54])/24 - 2*t[56] - 4*t[57] + t[58]/6 - (923*t[59])/24 - 
       (2573*t[60])/24 - (1865*t[61])/12 + (3199*t[62])/48 - 
       (28643*t[63])/48 - (1364*t[64])/3 + (209*t[65])/18 - (121*t[66])/9 - 
       (3*t[68])/2 - 3*t[69] + (5*t[70])/2 - (5*t[71])/2 + (45*t[72])/2 - 
       12*t[73] - (47*t[74])/6 + (9*t[75])/2 - (887*t[76])/12 - 5*t[77] - 
       (83*t[78])/2 + (15*t[79])/2 + (203*t[80])/3 - (331*t[81])/12 + 
       (245*t[82])/6 + (559*t[83])/4 - (481*t[84])/6 - (161*t[85])/3 - 
       (2617*t[86])/12 + (515*t[87])/4 + (515*t[88])/8 - (4939*t[89])/48 - 
       (53*t[97])/4 - 420*t[98] + 435*t[99] + (207*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*((-155*t[1])/12 + 
       (57*t[2])/4 + (119*t[3])/4 + (1465*t[4])/48 + (107*t[5])/3 - 
       (133*t[6])/24 - 41*t[7] + (1177*t[8])/12 - (1739*t[9])/12 + 
       (887*t[10])/96 - (701*t[11])/24 - (1481*t[12])/96 - 
       (18823*t[13])/432 - (26305*t[14])/576 + (14995*t[15])/288 + 3*t[19] + 
       6*t[25] + (13*t[26])/2 - 33*t[28] - 12*t[29] - 3*t[30] - 9*t[31] - 
       3*t[32] + 3*t[33] + 2*t[34] + 3*t[35] - (13*t[36])/3 - (3*t[37])/2 - 
       (51*t[38])/4 - (51*t[39])/4 + (89*t[40])/6 - t[41] + t[42] + 6*t[43] - 
       (21*t[44])/2 - 4*t[45] + 16*t[46] + 5*t[47] + (133*t[48])/24 + 
       (2857*t[49])/96 + (157*t[50])/8 - (3033*t[51])/64 - (311*t[52])/24 - 
       (4273*t[53])/96 + (247*t[54])/16 + (5*t[58])/2 + (8*t[59])/3 - 
       (5131*t[60])/48 + (4855*t[61])/48 - (129*t[62])/32 - 
       (14365*t[63])/96 - (839*t[64])/32 + (11033*t[65])/48 + 
       (771*t[66])/16 - 9*t[68] - 21*t[69] + 4*t[70] - 4*t[71] + 
       (9*t[72])/2 + 39*t[73] + (31*t[74])/3 + 84*t[75] + (119*t[76])/6 - 
       (7*t[77])/6 - 30*t[78] + (27*t[79])/2 + (85*t[80])/3 + (7*t[81])/6 + 
       (41*t[82])/2 + 30*t[83] + (351*t[84])/16 - (1471*t[85])/48 - 
       (23*t[86])/2 + (3317*t[87])/48 + (1375*t[88])/32 + (2885*t[89])/32 - 
       (26*t[95])/3 - (23*t[96])/6 - t[97]/3 - 420*t[98] + 435*t[99] + 
       (207*t[100])/2) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((9*t[3])/4 - (63*t[4])/2 - (9*t[5])/8 - (9*t[6])/4 - (9*t[7])/4 - 
       (27*t[8])/4 - (27*t[9])/8 - (3*t[10])/4 - (105*t[11])/4 - 
       (43*t[12])/8 - (233*t[13])/8 + (167*t[14])/8 - (117*t[15])/16 - 
       6*t[49] - 3*t[51] + 6*t[53] + 12*t[54] - 39*t[60] + 35*t[61] - 
       9*t[62] + 90*t[63] + 12*t[64] - (109*t[65])/6 + (49*t[66])/2 - 
       24*t[73] + 60*t[83] - 12*t[84] - 12*t[85] + 48*t[87] + 24*t[88] - 
       18*t[89] - 12*t[99] + 108*t[100]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-5*t[1] + 3*t[2] - 6*t[3] + (381*t[4])/4 + 
       (21*t[5])/2 + (199*t[6])/4 - (31*t[7])/2 - (97*t[8])/2 - (29*t[9])/2 - 
       (1997*t[10])/8 + (119*t[11])/4 - (549*t[12])/8 + (29*t[13])/12 + 
       (2593*t[14])/48 - (101*t[15])/8 + 32*t[31] + 20*t[35] + (31*t[37])/2 + 
       4*t[43] - 12*t[46] - (133*t[48])/4 + (381*t[49])/8 - (21*t[50])/4 - 
       (309*t[51])/16 + (21*t[52])/4 - (381*t[53])/8 - 58*t[54] - 2*t[59] + 
       (219*t[60])/4 + (391*t[61])/4 + (737*t[62])/8 + (1391*t[63])/8 - 
       (941*t[64])/8 - (1669*t[65])/12 - (293*t[66])/4 + 4*t[67] - 24*t[74] - 
       93*t[79] - 30*t[80] - 5*t[81] + 11*t[82] + 28*t[83] - (47*t[84])/4 + 
       (259*t[85])/4 - 83*t[86] - (147*t[87])/4 - (147*t[88])/8 + 
       (173*t[89])/8 - 12*t[99] + 108*t[100]) + 
     HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u]*(-10*t[1] + 9*t[2] - (335*t[3])/8 - 
       (209*t[4])/4 + (2489*t[5])/16 + (553*t[6])/8 - (567*t[7])/4 + 
       (361*t[8])/2 - (3615*t[9])/16 + (905*t[10])/8 - (357*t[11])/4 - 
       (1063*t[12])/16 - (1267*t[13])/72 + (959*t[14])/12 + (6317*t[15])/96 - 
       12*t[27] + 14*t[28] - 26*t[29] + 38*t[30] + 9*t[31] - 6*t[32] + 
       6*t[33] - 16*t[35] + 30*t[36] - 8*t[39] - 6*t[40] + 3*t[41] - 
       3*t[42] + (147*t[43])/8 - 47*t[44] + 38*t[45] - 10*t[46] - 82*t[47] + 
       (313*t[48])/8 + (147*t[49])/8 - (363*t[50])/8 - (319*t[51])/16 + 
       (363*t[52])/8 - (147*t[53])/8 - (259*t[54])/8 - 7*t[59] + 
       (13*t[60])/2 - (527*t[61])/4 + (619*t[62])/8 - (419*t[63])/8 - 
       (507*t[64])/8 - (97*t[65])/12 + (1609*t[66])/12 - 17*t[77] - 
       41*t[80] - 6*t[82] + (79*t[86])/2 + (47*t[89])/2 - 48*t[98] + 
       72*t[99] + 118*t[100]) + HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w]*
      (33*t[1] - (63*t[2])/2 + (821*t[3])/8 + (197*t[4])/2 - (19*t[5])/2 + 
       (497*t[6])/16 - (785*t[7])/8 + (1547*t[8])/8 - (999*t[9])/4 - 
       92*t[10] + (1989*t[11])/16 + (283*t[12])/8 + (23173*t[13])/144 - 
       (2413*t[14])/16 - (2089*t[15])/48 + t[16] - t[17] + 12*t[18] + 
       38*t[19] + 40*t[20] + 48*t[21] - 32*t[22] - 48*t[23] + 14*t[24] - 
       4*t[25] + 2*t[26] + 20*t[27] + 14*t[28] - (49*t[29])/2 + 87*t[30] - 
       42*t[31] + 22*t[32] + 20*t[33] + 6*t[34] + 2*t[35] - 26*t[36] - 
       36*t[37] + 25*t[38] - 8*t[39] + 21*t[40] + 30*t[41] - 24*t[42] - 
       (135*t[43])/8 + (313*t[44])/4 - (157*t[45])/4 - 8*t[46] + 
       (163*t[47])/2 + (1185*t[48])/16 - (155*t[49])/8 - (179*t[50])/16 + 
       (337*t[51])/8 - (493*t[52])/16 + (203*t[53])/8 - (277*t[54])/16 - 
       2*t[56] - 6*t[57] + 6*t[58] - (33*t[59])/2 - (385*t[60])/4 + 
       (49*t[61])/4 + (1263*t[62])/8 - (1963*t[63])/8 - (193*t[64])/8 + 
       (3509*t[65])/12 + (1361*t[66])/12 + t[67] + 7*t[68] - 12*t[70] + 
       12*t[71] + 45*t[72] - 46*t[73] - 4*t[74] + 118*t[75] - (79*t[76])/2 + 
       11*t[77] - 6*t[78] + 16*t[79] + 196*t[80] + 28*t[81] + 33*t[82] - 
       104*t[83] - (79*t[84])/4 - (325*t[85])/4 - 232*t[86] + (931*t[87])/4 + 
       (931*t[88])/8 + (741*t[89])/8 - t[91]/6 + t[92] + 2*t[93] - t[94] - 
       6*t[97] - 48*t[98] + 72*t[99] + 118*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((2*t[1])/3 + (7*t[2])/3 + (67*t[3])/8 - (43*t[4])/6 - (1081*t[5])/48 + 
       (209*t[6])/24 - (133*t[7])/24 - (343*t[8])/24 + (877*t[9])/48 - 
       (611*t[10])/24 - (875*t[11])/24 + (569*t[12])/48 - (11315*t[13])/432 - 
       (11*t[14])/16 - (3067*t[15])/288 + 2*t[22] + t[26]/3 - (2*t[27])/3 + 
       (4*t[28])/3 + (8*t[29])/3 - (2*t[30])/3 + 4*t[31] + (8*t[32])/3 - 
       (8*t[33])/3 + (23*t[34])/3 + 12*t[35] - 2*t[37] - 2*t[38] + 
       (10*t[39])/3 - (19*t[40])/3 - (5*t[41])/6 + (5*t[42])/6 - 
       (35*t[43])/12 - (2*t[44])/3 - (5*t[45])/3 - 3*t[46] - 3*t[47] + 
       (5*t[48])/6 + t[49]/6 + (3*t[50])/2 + t[51]/6 + (37*t[52])/6 - 
       t[53]/6 + (71*t[54])/6 + t[58]/3 - (3*t[59])/2 + (32*t[60])/3 - 
       (104*t[61])/3 + (425*t[62])/12 + (413*t[63])/12 - (87*t[64])/4 - 
       (167*t[65])/36 + (2099*t[66])/36 - 2*t[69] - 6*t[73] + 6*t[75] + 
       (14*t[76])/3 - t[77] - (8*t[78])/3 - (11*t[80])/3 - t[81] + 
       (9*t[82])/2 + t[83] - (11*t[84])/2 + (7*t[85])/3 - 29*t[86] - 
       (32*t[87])/3 - (16*t[88])/3 - (15*t[89])/2 + (2*t[97])/3 + 8*t[98] - 
       8*t[99] + (247*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((4*t[1])/3 + (14*t[2])/3 + (11*t[3])/4 + 
       (149*t[4])/4 - (35*t[5])/12 + (73*t[6])/24 - (19*t[7])/3 - 
       (11*t[8])/6 - (5*t[9])/6 - (17*t[10])/2 + (31*t[11])/24 - 
       (13*t[12])/2 + (5069*t[13])/216 - (3109*t[14])/144 - (227*t[15])/72 + 
       (5*t[25])/3 - 3*t[26] + (4*t[34])/3 - (17*t[36])/3 + (4*t[38])/3 - 
       (7*t[39])/3 - (4*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 - (2*t[45])/3 - 
       2*t[46] + (4*t[47])/3 + (5*t[48])/24 - (37*t[49])/12 + 
       (281*t[50])/24 + (11*t[51])/16 - (185*t[52])/24 - (83*t[53])/12 - 
       (475*t[54])/24 + (4*t[58])/3 - (7*t[59])/3 + (535*t[60])/12 - 
       (299*t[61])/4 + (95*t[62])/2 - (787*t[63])/12 - (1373*t[64])/24 + 
       (233*t[65])/6 + (110*t[66])/3 + (4*t[70])/3 - (4*t[71])/3 + 
       (2*t[74])/3 + 15*t[75] - (25*t[76])/3 - (4*t[77])/3 + (16*t[78])/3 - 
       5*t[79] - (22*t[80])/3 - (10*t[81])/3 + 2*t[82] - 14*t[83] + 
       (167*t[84])/6 + (97*t[85])/6 - (23*t[86])/3 - (31*t[87])/3 - t[88]/2 + 
       (409*t[89])/12 - (4*t[95])/3 - 6*t[96] - 4*t[97] - 64*t[98] + 
       56*t[99] + 125*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((109*t[1])/24 + (231*t[2])/16 + (249*t[3])/8 - 
       (29*t[4])/4 + (11*t[5])/24 - (141*t[6])/16 - (15*t[7])/2 + 
       (79*t[8])/12 + (17*t[9])/2 - (3827*t[10])/48 - (197*t[11])/4 + 
       (55*t[12])/24 - (10253*t[13])/288 - (8627*t[14])/144 - 
       (415*t[15])/18 + t[17]/12 + t[18] - (5*t[19])/2 - t[20]/2 + 
       (5*t[21])/2 - (2*t[22])/3 - (5*t[23])/2 + (8*t[24])/3 - (17*t[25])/6 + 
       2*t[26] + t[27]/6 + (29*t[28])/6 + (7*t[29])/6 - (49*t[30])/6 - 
       (10*t[31])/3 - t[33]/3 + t[34]/12 + t[35] + t[37] + (9*t[38])/4 + 
       3*t[39] - (17*t[40])/12 - (17*t[41])/24 + (29*t[42])/24 - 
       (617*t[43])/48 + (4*t[44])/3 - (371*t[45])/24 + (25*t[46])/12 + 
       (397*t[47])/12 + (38*t[48])/3 - (247*t[49])/48 + (11*t[50])/6 - 
       (5*t[51])/3 + (5*t[52])/4 + (211*t[53])/48 - (13*t[54])/6 + 
       (2*t[58])/3 - (7*t[59])/2 - (887*t[60])/12 - (821*t[61])/8 + 
       (501*t[62])/16 - (4441*t[63])/48 + (397*t[64])/12 + 73*t[65] + 
       (1289*t[66])/8 - t[67]/6 - t[68]/3 - 2*t[70] + 2*t[71] - t[72] + 
       2*t[73] + (31*t[74])/6 + (7*t[75])/2 + (13*t[76])/3 - (11*t[77])/6 - 
       (23*t[78])/6 - (83*t[79])/24 + (37*t[80])/6 - (61*t[81])/6 + 
       (83*t[82])/6 - (31*t[83])/6 - (11*t[84])/8 - (191*t[85])/24 + 
       (1241*t[86])/24 + (941*t[87])/24 + (977*t[88])/48 + (145*t[89])/24 - 
       t[92]/6 + t[94]/6 - t[95] - (2*t[97])/3 + 22*t[98] - 44*t[99] + 
       (265*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-9*t[1] + (11*t[2])/3 + (139*t[3])/6 - 
       (211*t[4])/3 + (121*t[5])/12 - (47*t[6])/2 - 6*t[7] - (155*t[8])/3 - 
       (127*t[9])/12 - (275*t[10])/4 - (515*t[11])/6 - (15*t[12])/2 - 
       (347*t[13])/12 - (2429*t[14])/36 - (77*t[15])/72 + (4*t[25])/3 - 
       (8*t[26])/3 - (4*t[27])/3 - (16*t[28])/3 + (4*t[29])/3 - (4*t[30])/3 + 
       (64*t[31])/3 + (10*t[34])/3 + 28*t[35] + 6*t[36] + 10*t[37] - t[38] - 
       (11*t[39])/3 + (8*t[40])/3 - (5*t[41])/3 + (5*t[42])/3 + (2*t[43])/3 + 
       (14*t[44])/3 + (11*t[46])/3 - (41*t[48])/2 - (51*t[49])/4 + 
       (5*t[50])/2 + (67*t[51])/12 - (43*t[52])/6 + (51*t[53])/4 + 
       (43*t[54])/2 - (4*t[58])/3 - (31*t[59])/3 - (218*t[60])/3 - 
       (241*t[61])/2 + (250*t[62])/3 + 125*t[63] + (215*t[64])/12 + 
       (977*t[65])/18 + 137*t[66] - 8*t[72] + 2*t[74] + (4*t[76])/3 - 
       (2*t[77])/3 + (14*t[78])/3 - 8*t[79] - 8*t[80] - (7*t[81])/3 + 
       (37*t[82])/3 + 12*t[83] - (101*t[84])/6 + (43*t[85])/3 - 
       (28*t[86])/3 + 17*t[87] + (9*t[88])/2 - (37*t[89])/3 + 4*t[95] - 
       6*t[96] - (8*t[97])/3 - 8*t[98] + 8*t[99] + 133*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-5*t[1])/24 + t[2]/24 + (9*t[3])/4 + 4*t[4] + (53*t[5])/12 + 
       (39*t[6])/8 + (193*t[7])/16 + (629*t[8])/48 - (469*t[9])/48 - 
       (481*t[10])/12 - (521*t[11])/48 - (165*t[12])/16 - (3281*t[13])/288 - 
       (3263*t[14])/144 - (2875*t[15])/288 + 2*t[19] - t[20] - 2*t[21] + 
       t[22]/2 + 2*t[23] + (3*t[26])/2 - (19*t[27])/6 + (5*t[28])/6 + 
       (19*t[29])/6 - (31*t[30])/6 - (4*t[31])/3 + (3*t[32])/2 - 
       (3*t[33])/2 - (11*t[34])/12 + 10*t[35] + (13*t[36])/2 - (11*t[37])/3 - 
       (7*t[38])/12 - (19*t[39])/6 + (23*t[40])/12 + (11*t[41])/24 - 
       (11*t[42])/24 + (145*t[43])/48 - t[44]/6 - (63*t[45])/8 - 
       (9*t[46])/2 + (65*t[47])/4 + (301*t[48])/48 + (823*t[49])/48 + 
       (341*t[50])/48 - (155*t[51])/16 - (97*t[52])/48 - (225*t[53])/16 - 
       (517*t[54])/48 + (2*t[58])/3 - t[59] - (383*t[60])/8 - 
       (785*t[61])/24 + 15*t[62] + (65*t[63])/12 + (1277*t[64])/16 - 
       (76*t[65])/9 + (599*t[66])/9 - t[68]/6 + 3*t[69] - t[70] + t[71] - 
       4*t[72] + t[73] - (3*t[74])/2 + 12*t[75] - (11*t[76])/3 - 
       (41*t[77])/6 + (77*t[78])/6 - 11*t[79] + 15*t[80] - (43*t[81])/6 + 
       (17*t[82])/2 - (23*t[83])/2 - (37*t[84])/6 + (55*t[85])/12 + 
       (203*t[86])/6 + (171*t[87])/4 + (379*t[88])/24 + (97*t[89])/12 + 
       t[95] + t[96] - (7*t[97])/6 + 22*t[98] - 44*t[99] + (535*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((11*t[1])/6 + (2*t[2])/3 + (25*t[3])/4 - (1247*t[4])/24 + 
       (32*t[5])/3 - (63*t[6])/4 - (43*t[7])/12 - (281*t[8])/12 - 
       (265*t[9])/12 - (111*t[10])/16 - (191*t[11])/4 - (157*t[12])/48 - 
       (1547*t[13])/108 - (7237*t[14])/288 + (67*t[15])/16 - (5*t[16])/3 + 
       (4*t[25])/3 - (22*t[26])/3 + (2*t[27])/3 - (4*t[28])/3 + (4*t[29])/3 - 
       (4*t[30])/3 + (16*t[31])/3 + t[34]/3 + 8*t[35] + (7*t[36])/3 + t[37] + 
       (13*t[38])/3 - (2*t[39])/3 + (2*t[40])/3 - t[41]/6 + t[42]/6 + 
       (2*t[43])/3 + (2*t[44])/3 + (23*t[46])/6 - (101*t[48])/12 - 
       (199*t[49])/48 + (73*t[50])/12 + (337*t[51])/96 - (31*t[52])/4 + 
       (117*t[53])/16 + (373*t[54])/24 - t[58]/3 - (19*t[59])/3 - 
       (477*t[60])/8 - (443*t[61])/8 - t[62]/48 + (1075*t[63])/16 + 
       (4603*t[64])/48 + (389*t[65])/24 + (537*t[66])/8 - t[67]/3 - 2*t[69] + 
       (4*t[70])/3 - (4*t[71])/3 - 4*t[72] - (13*t[74])/3 - 6*t[75] - 
       5*t[76] + t[77]/3 + (40*t[78])/3 - 14*t[79] - (8*t[80])/3 + 
       (25*t[81])/6 - t[82]/2 + 29*t[83] - (457*t[84])/24 - (335*t[85])/24 - 
       (10*t[86])/3 + (781*t[87])/24 + (255*t[88])/16 - (449*t[89])/48 + 
       (10*t[95])/3 - (8*t[96])/3 + t[97]/3 - 28*t[98] + 4*t[99] + 
       134*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      (t[1] - 4*t[2] + (69*t[3])/8 + (77*t[4])/4 - (627*t[5])/16 - 
       (83*t[6])/4 + (213*t[7])/8 - (323*t[8])/8 + (699*t[9])/16 - 31*t[10] + 
       (119*t[11])/4 + (233*t[12])/16 + (1609*t[13])/144 - (409*t[14])/24 + 
       (113*t[15])/32 + 4*t[27] - 20*t[28] + 2*t[29] - 4*t[30] - 6*t[31] + 
       2*t[32] - 2*t[33] + 12*t[35] - 12*t[36] - 4*t[39] + 7*t[40] - 
       2*t[41] + 2*t[42] - (9*t[43])/4 + 9*t[44] + (3*t[45])/4 + 5*t[46] + 
       t[47]/2 - (213*t[48])/8 - (115*t[49])/8 + (119*t[50])/8 + 
       (139*t[51])/16 - (119*t[52])/8 + (115*t[53])/8 + (103*t[54])/8 - 
       t[59] - (63*t[61])/4 + (67*t[62])/8 - (35*t[63])/8 - (59*t[64])/8 - 
       (13*t[65])/12 + (187*t[66])/12 - 2*t[77] - 3*t[80] + (7*t[86])/2 + 
       2*t[89] - 72*t[99] + 142*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-21*t[1])/2 + (181*t[2])/2 - 24*t[3] - 
       (1273*t[4])/8 - (811*t[5])/12 - (1627*t[6])/12 + 150*t[7] - 
       (1187*t[8])/6 + (2345*t[9])/12 + (455*t[10])/16 - (1451*t[11])/12 + 
       (2309*t[12])/48 - (1279*t[13])/8 - (14671*t[14])/288 - 
       (2861*t[15])/144 + 4*t[16] + t[17] - 8*t[18] - 14*t[19] - 28*t[20] - 
       22*t[21] + 22*t[22] + 22*t[23] - (38*t[24])/3 - 8*t[25] + 16*t[26] + 
       6*t[27] - 10*t[28] + 14*t[29] - 14*t[30] - (2*t[31])/3 - 20*t[33] - 
       3*t[34] - 22*t[35] + 26*t[36] + 14*t[37] - 11*t[38] + 16*t[39] - 
       20*t[40] - (5*t[41])/2 - (3*t[42])/2 - (11*t[43])/6 - 29*t[44] - 
       24*t[45] + 19*t[46] + 57*t[47] - (811*t[48])/12 - (2569*t[49])/48 + 
       (733*t[50])/12 - (341*t[51])/96 - (313*t[52])/12 + (2569*t[53])/48 - 
       (31*t[54])/8 + 2*t[56] + 14*t[59] - (235*t[60])/8 - (6029*t[61])/24 - 
       (7343*t[62])/48 + (709*t[63])/16 + (4009*t[64])/16 + (583*t[65])/72 + 
       (10763*t[66])/72 - 2*t[67] - 7*t[68] + 8*t[70] - 8*t[71] + 12*t[72] - 
       42*t[75] - 10*t[76] - 10*t[77] - t[78] + 16*t[79] - 109*t[80] - 
       16*t[81] - 6*t[82] + (248*t[83])/3 + (749*t[84])/24 + (697*t[85])/24 + 
       (1757*t[86])/6 - (2305*t[87])/24 - (2305*t[88])/48 - (37*t[89])/16 - 
       2*t[92] + 4*t[93] + 2*t[94] + 7*t[97] - 72*t[99] + 142*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*(-24*t[1] + (33*t[2])/2 - 
       (303*t[3])/4 - 120*t[4] + (2357*t[5])/8 + (279*t[6])/2 - 246*t[7] + 
       (741*t[8])/2 - (3255*t[9])/8 + (561*t[10])/2 - (1031*t[11])/4 - 
       (1229*t[12])/8 - (351*t[13])/4 + (3775*t[14])/24 + (5381*t[15])/48 - 
       24*t[27] + 48*t[28] - 36*t[29] + 66*t[30] + 18*t[31] - 12*t[32] + 
       12*t[33] - 36*t[35] + 60*t[36] - 6*t[39] - 16*t[40] + 6*t[41] - 
       6*t[42] + (141*t[43])/4 - 72*t[44] + 84*t[45] - 18*t[46] - 180*t[47] + 
       (183*t[48])/2 + 51*t[49] - (207*t[50])/2 - 48*t[51] + (207*t[52])/2 - 
       51*t[53] - (81*t[54])/2 - 18*t[59] + 3*t[60] - (563*t[61])/2 + 
       (605*t[62])/4 - (329*t[63])/4 - (557*t[64])/4 - (101*t[65])/6 + 
       (563*t[66])/2 - 35*t[77] - 102*t[80] + 57*t[86] + 38*t[89] + 
       144*t[98] - 144*t[99] + 144*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*(138*t[1] - 18*t[2] + (1161*t[3])/4 + 
       214*t[4] + (75*t[5])/4 + (583*t[6])/8 - (411*t[7])/4 + (717*t[8])/4 - 
       (1785*t[9])/4 - 83*t[10] + (2123*t[11])/8 - 32*t[12] + 
       (3229*t[13])/8 - (5215*t[14])/24 - (551*t[15])/4 - 6*t[16] - 6*t[17] + 
       24*t[18] + 76*t[19] + 48*t[20] + 96*t[21] - 84*t[22] - 96*t[23] - 
       12*t[24] - 12*t[25] + 78*t[27] + 48*t[28] - 47*t[29] + 162*t[30] - 
       84*t[31] + 60*t[32] + 12*t[33] + 12*t[34] - 12*t[35] - 66*t[36] - 
       72*t[37] + 114*t[38] + 24*t[39] + 6*t[40] + 36*t[41] - 24*t[42] - 
       (39*t[43])/4 + (345*t[44])/2 - (285*t[45])/2 - 9*t[46] + 171*t[47] + 
       (771*t[48])/8 - (49*t[49])/4 - (465*t[50])/8 + (313*t[51])/4 - 
       (495*t[52])/8 + (97*t[53])/4 - (407*t[54])/8 - 6*t[56] - 12*t[57] + 
       12*t[58] - 57*t[59] - 170*t[60] + 167*t[61] + (649*t[62])/2 - 
       (1009*t[63])/2 - 494*t[64] + (3203*t[65])/6 + (731*t[66])/6 + 
       6*t[67] + 18*t[68] - 24*t[70] + 24*t[71] + 60*t[72] - 60*t[73] + 
       192*t[75] - 57*t[76] + 78*t[77] - 171*t[78] + 6*t[79] + 456*t[80] + 
       24*t[81] + 111*t[82] - 246*t[83] - (69*t[84])/2 - 113*t[85] - 
       534*t[86] + 371*t[87] + (371*t[88])/2 + (367*t[89])/2 - t[91] + 
       6*t[92] - 6*t[94] - 12*t[97] + 144*t[98] - 144*t[99] + 144*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      (-48*t[98] + 4*t[99] + 144*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((-21*t[1])/2 + 
       (11*t[2])/2 + (67*t[3])/4 - 74*t[4] + (25*t[5])/8 - (71*t[6])/2 - 
       (17*t[7])/2 - 52*t[8] - (275*t[9])/8 - 37*t[10] - (345*t[11])/4 + 
       (431*t[12])/8 - (238*t[13])/3 - (238*t[14])/3 - (1087*t[15])/48 + 
       2*t[16] + t[17] - 4*t[18] + (2*t[19])/3 - 2*t[20] - 2*t[21] + 
       2*t[23] - 4*t[24] - 4*t[25] + 12*t[26] + 2*t[27] + 2*t[28] + 4*t[30] + 
       8*t[31] + 2*t[32] - 2*t[33] - 5*t[34] + 12*t[35] + 6*t[36] + 2*t[37] - 
       9*t[38] + 4*t[39] - 4*t[40] + (13*t[41])/2 - (17*t[42])/2 - 
       (3*t[43])/4 - 18*t[45] + 14*t[46] + 38*t[47] + (25*t[48])/2 - 
       44*t[49] + (11*t[50])/2 + (69*t[51])/8 + (7*t[52])/2 + 41*t[53] + 
       36*t[54] + 7*t[59] - (183*t[60])/4 - (551*t[61])/4 + (27*t[62])/8 + 
       (153*t[63])/8 + (1543*t[64])/8 + (805*t[65])/12 + (1667*t[66])/12 - 
       t[67] - 3*t[68] - 4*t[69] + 4*t[70] - 4*t[71] + 12*t[72] - 10*t[75] - 
       8*t[76] - 4*t[77] + 8*t[78] - 31*t[80] - 9*t[81] + 10*t[82] - 
       14*t[83] + (13*t[84])/2 - 8*t[85] + (37*t[86])/2 + 19*t[87] + 
       (19*t[88])/2 + (161*t[89])/8 - t[92] + 2*t[93] + t[94] + t[97] - 
       48*t[98] + 4*t[99] + 144*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-4*t[1] + (11*t[2])/2 + (23*t[3])/4 - 
       (43*t[4])/8 - (5*t[5])/8 + (89*t[6])/8 - (251*t[7])/4 + (25*t[8])/2 - 
       (201*t[9])/8 + (75*t[10])/16 - (519*t[11])/8 - (503*t[12])/16 + 
       (1283*t[13])/72 - (3427*t[14])/96 - (19*t[15])/24 + 2*t[27] + 
       8*t[28] - (31*t[29])/4 + 2*t[31] - 4*t[32] + 4*t[33] - 3*t[34] - 
       6*t[35] - t[38]/2 - (5*t[39])/2 + t[40]/2 - (3*t[41])/2 + 
       (3*t[42])/2 + (3*t[43])/2 - (11*t[44])/4 + 7*t[45] + t[46]/2 - 
       9*t[47] + (71*t[48])/8 - (331*t[49])/16 + (11*t[50])/8 + 
       (467*t[51])/32 - (11*t[52])/8 + (171*t[53])/16 + (39*t[54])/2 - 
       t[59] + (177*t[60])/8 - (923*t[61])/8 + (1865*t[62])/16 - 
       (633*t[63])/16 - (631*t[64])/16 + (2315*t[65])/24 + (1729*t[66])/24 - 
       t[72] + 21*t[73] - 23*t[75] - (39*t[76])/2 + 8*t[77] + (83*t[78])/2 - 
       16*t[79] - 10*t[80] + 8*t[81] - (25*t[82])/2 - 20*t[83] + 
       (295*t[84])/8 + (197*t[85])/8 - 44*t[86] + (225*t[87])/8 + 
       (225*t[88])/16 + (1111*t[89])/16 - 14*t[96] - 11*t[97] - 66*t[98] + 
       48*t[99] + 144*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[v, u, w]*
      (-16*t[2] + (80*t[3])/3 - (184*t[4])/3 - (112*t[5])/3 + 28*t[6] - 
       (112*t[7])/3 - (32*t[8])/3 + (80*t[9])/3 - (244*t[10])/3 - 
       (388*t[11])/3 - (92*t[12])/3 - (112*t[13])/3 + (106*t[14])/9 - 
       52*t[15] - (64*t[27])/3 + (64*t[29])/3 - (32*t[30])/3 + 
       (128*t[31])/3 + (256*t[35])/3 - (64*t[37])/3 - 16*t[46] + 
       (68*t[48])/3 + 28*t[49] - (92*t[50])/3 - 2*t[51] + (92*t[52])/3 - 
       28*t[53] + 28*t[54] - (32*t[59])/3 + (200*t[60])/3 - 104*t[61] + 
       20*t[62] + 188*t[63] + 4*t[64] + (976*t[65])/9 + (304*t[66])/3 - 
       32*t[73] + (224*t[75])/3 + (128*t[78])/3 - (16*t[81])/3 + 
       (80*t[82])/3 - (224*t[83])/3 + 16*t[84] + (56*t[85])/3 + 
       (64*t[86])/3 - (184*t[87])/3 - (92*t[88])/3 + (116*t[89])/3 + 
       (448*t[100])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - v]*(6*t[1] - (125*t[2])/4 + (3*t[3])/2 - 
       (37*t[4])/2 + (1319*t[5])/48 - (361*t[6])/48 - (127*t[7])/4 - 
       (229*t[8])/12 - (3163*t[9])/48 - 4*t[10] - (2189*t[11])/48 - 
       (571*t[12])/48 - (335*t[13])/36 - (3829*t[14])/72 + (47*t[15])/288 - 
       t[17]/2 - 2*t[20] - 2*t[21] + 6*t[22] + 2*t[23] - (5*t[24])/3 + 
       4*t[27] - 8*t[28] - 7*t[29] - t[30]/4 + t[31]/3 + (17*t[32])/4 - 
       (13*t[33])/4 - 5*t[34] + 14*t[35] - 2*t[36] + 2*t[37] + 2*t[38] - 
       (21*t[39])/4 + (25*t[40])/4 - (17*t[43])/24 + t[44] + (25*t[45])/2 + 
       t[46]/2 - 12*t[47] + (89*t[48])/48 - (25*t[49])/12 - (443*t[50])/48 + 
       (5*t[51])/3 + (203*t[52])/48 + (25*t[53])/12 + (17*t[54])/16 + t[56] + 
       2*t[57] - t[59]/4 - (671*t[60])/8 - (2435*t[61])/24 + (593*t[62])/24 - 
       (163*t[63])/8 + (1717*t[64])/16 + (421*t[65])/18 + (8327*t[66])/72 + 
       t[68] + 2*t[69] - 24*t[72] + 3*t[73] - 6*t[74] - 19*t[75] - 15*t[76] - 
       3*t[77] - (17*t[78])/2 + 26*t[79] - 18*t[80] - (25*t[81])/2 + 
       (23*t[82])/2 + (74*t[83])/3 - (127*t[84])/24 + (73*t[85])/24 + 
       (89*t[86])/6 + (1763*t[87])/24 + (1763*t[88])/48 + (543*t[89])/16 - 
       3*t[93] - 3*t[96] - (3*t[97])/2 - 66*t[98] + 48*t[99] + 150*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      (3*t[1] - (11*t[2])/4 + (29*t[3])/8 + (109*t[4])/8 - (293*t[5])/16 + 
       (61*t[6])/8 - (87*t[7])/8 + (19*t[8])/8 - (151*t[9])/16 + 
       (547*t[10])/16 - (269*t[11])/8 + (33*t[12])/8 - (3941*t[13])/144 - 
       (231*t[14])/32 - (719*t[15])/288 + t[22] - t[25] + 2*t[26] - 6*t[28] - 
       t[29] + 4*t[30] + 2*t[31] + t[32] - t[33] - t[34] - 2*t[35] - t[36] - 
       2*t[39] - 3*t[40] + t[41]/2 - t[42]/2 - 5*t[43] + 6*t[44] - t[45] + 
       t[46]/2 + t[47] - (17*t[48])/4 + (111*t[49])/16 + (27*t[50])/4 - 
       (253*t[51])/32 - (3*t[52])/4 - (95*t[53])/16 - (57*t[54])/8 + t[58] + 
       t[59] - (125*t[60])/8 - (443*t[61])/8 + (765*t[62])/16 + 
       (643*t[63])/16 - (395*t[64])/16 - (329*t[65])/24 + (2161*t[66])/24 - 
       t[68] + 2*t[69] - 12*t[72] + 12*t[73] - 8*t[74] - 18*t[75] - 3*t[76] + 
       (5*t[77])/2 + 2*t[78] + 10*t[79] - (73*t[80])/2 - (5*t[81])/2 + 
       (5*t[82])/4 - 12*t[83] - (79*t[84])/8 + (35*t[85])/8 - 52*t[86] + 
       (133*t[87])/8 + (133*t[88])/16 + (275*t[89])/16 - t[93] - t[97] - 
       66*t[98] + 48*t[99] + (307*t[100])/2) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*((55*t[1])/4 + 11*t[2] + 
       (529*t[3])/24 - (419*t[4])/12 + (515*t[5])/48 + (853*t[6])/24 + 
       (97*t[7])/24 + (1217*t[8])/24 - (1031*t[9])/48 - (152*t[10])/3 - 
       (317*t[11])/8 - (673*t[12])/48 - (4133*t[13])/144 - 81*t[14] - 
       (7735*t[15])/288 - 2*t[16] - (2*t[24])/3 - 7*t[25] + t[26]/2 - 
       2*t[27] - 5*t[28] - 2*t[30] - (59*t[31])/3 + t[32] - t[33] - t[34]/2 - 
       10*t[35] + 3*t[36] - t[37] + 6*t[38] - 5*t[39] - 4*t[40] + t[41]/4 - 
       t[42]/4 - (119*t[43])/12 - 3*t[44] - (37*t[45])/4 + (5*t[46])/2 + 
       (39*t[47])/2 + (91*t[48])/6 + (77*t[49])/24 + (37*t[50])/2 - 
       (395*t[51])/48 - 4*t[52] - (131*t[53])/24 - (35*t[54])/6 + 
       (5*t[58])/2 - (5*t[59])/4 - (683*t[60])/8 - (2675*t[61])/24 + 
       (197*t[62])/12 - (157*t[63])/12 + (5683*t[64])/48 + (371*t[65])/12 + 
       (933*t[66])/8 + t[68] + 2*t[69] - 24*t[72] + 3*t[73] - 6*t[74] - 
       19*t[75] - 15*t[76] - 3*t[77] - (17*t[78])/2 + 32*t[79] - 18*t[80] - 
       (25*t[81])/2 + (23*t[82])/2 + (79*t[83])/3 - (41*t[84])/8 + 
       (23*t[85])/8 + (187*t[86])/6 + (1735*t[87])/24 + (1735*t[88])/48 + 
       (1657*t[89])/48 - 3*t[93] - 3*t[96] - (3*t[97])/2 - 66*t[98] + 
       48*t[99] + 155*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 
       1 - v]*((-21*t[1])/2 - t[2]/2 - (11*t[3])/4 + (237*t[4])/4 - 
       (1219*t[5])/16 + (65*t[6])/8 + (387*t[7])/8 - (321*t[8])/8 + 
       (1503*t[9])/16 - (743*t[10])/8 - (887*t[11])/8 - (153*t[12])/16 - 
       (299*t[13])/48 - (949*t[14])/24 - (6323*t[15])/96 + 4*t[16] + 
       2*t[25] - 11*t[26] - t[27] - 6*t[28] - (7*t[29])/2 + (25*t[30])/2 + 
       15*t[31] + 2*t[32] - 2*t[33] - 3*t[34] + 26*t[35] + 40*t[36] + 
       14*t[37] - 4*t[38] - 18*t[39] - 4*t[40] + t[41]/2 - t[42]/2 - 
       (73*t[43])/4 + (119*t[44])/4 - (87*t[45])/4 - 18*t[46] + 
       (91*t[47])/2 - (63*t[48])/4 + (193*t[49])/4 + (27*t[50])/4 - 
       (65*t[51])/16 + (17*t[52])/4 - (173*t[53])/4 - (39*t[54])/4 + t[58] - 
       t[59] + 19*t[60] - (617*t[61])/4 - (329*t[62])/8 - (423*t[63])/8 - 
       (301*t[64])/8 + (157*t[65])/4 - (473*t[66])/12 - 4*t[68] - 4*t[70] + 
       4*t[71] - 10*t[72] + 28*t[73] - 46*t[74] - 62*t[75] - (51*t[76])/2 - 
       3*t[77] + 16*t[78] - 47*t[80] + (27*t[81])/2 - 7*t[82] + 42*t[83] - 
       (23*t[84])/2 + 53*t[85] + (349*t[86])/2 - 23*t[87] - (61*t[88])/2 + 
       (187*t[89])/4 + t[91]/6 + 4*t[95] + 4*t[96] - 4*t[97] - 24*t[98] - 
       24*t[99] + 156*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 
       1 - v]*(14*t[1] - 9*t[2] - (5*t[3])/2 - (323*t[4])/4 + (529*t[5])/8 + 
       (141*t[6])/16 - (275*t[7])/4 + (61*t[8])/2 - (391*t[9])/4 + 
       (327*t[10])/8 - (941*t[11])/16 - 14*t[12] - (737*t[13])/72 - 
       (281*t[14])/8 + (683*t[15])/24 - 2*t[16] - 10*t[25] + 6*t[26] + 
       t[27] + 4*t[28] - 3*t[29] - (5*t[30])/2 - 21*t[31] - 12*t[32] + 
       12*t[33] + 8*t[34] - 20*t[35] + 8*t[36] - 10*t[37] + 4*t[38] - 
       10*t[39] + 11*t[40] + 15*t[43] - 12*t[44] + (17*t[45])/2 - t[46] - 
       19*t[47] + (215*t[48])/16 - (233*t[49])/8 - (197*t[50])/16 + 
       (219*t[51])/16 + (197*t[52])/16 + (249*t[53])/8 + (549*t[54])/16 - 
       t[59]/2 - 109*t[60] - 66*t[61] + 108*t[62] - (101*t[63])/2 + 
       (7*t[64])/2 + 129*t[65] + (431*t[66])/3 + t[67] + 7*t[68] - 4*t[70] + 
       4*t[71] + 10*t[72] - 26*t[73] - 16*t[74] + 62*t[75] - (61*t[76])/2 - 
       t[77] - 5*t[78] - 6*t[79] + 76*t[80] + t[81]/2 + 30*t[82] - 44*t[83] - 
       (37*t[84])/2 - (47*t[85])/2 - 68*t[86] + (199*t[87])/2 + 
       (199*t[88])/4 + (103*t[89])/4 - t[91]/6 + t[92] - t[94] - 2*t[97] - 
       24*t[98] - 24*t[99] + 156*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*(7*t[1] + (91*t[2])/4 + (227*t[3])/8 - 
       (557*t[4])/16 - (1233*t[5])/32 - (657*t[6])/32 + (225*t[7])/8 - 
       (429*t[8])/8 + (893*t[9])/32 - (405*t[10])/4 - (3269*t[11])/32 - 
       (1287*t[12])/32 - (461*t[13])/8 - (1787*t[14])/64 - (6577*t[15])/192 - 
       t[19] - 22*t[26] + 32*t[31] + 5*t[34] + 32*t[35] + (5*t[36])/4 + 
       (39*t[37])/4 + (39*t[38])/2 - (5*t[39])/2 - (5*t[41])/2 + 
       (5*t[42])/2 - 10*t[43] - (139*t[46])/8 - (1285*t[48])/32 + 
       (111*t[49])/16 + (691*t[50])/32 + (2059*t[51])/64 - (531*t[52])/32 - 
       (287*t[53])/16 + (743*t[54])/32 - (113*t[59])/6 - (263*t[60])/16 - 
       45*t[61] - (421*t[62])/8 + (231*t[63])/2 - (1625*t[64])/8 - 
       (281*t[65])/16 - (1025*t[66])/48 - t[67] + (119*t[74])/4 - 32*t[75] + 
       t[76] - t[77] + 17*t[78] - (77*t[79])/2 + 6*t[80] - (97*t[81])/8 + 
       (59*t[82])/8 + (195*t[83])/2 - (239*t[84])/16 + (139*t[85])/4 + 
       (7*t[86])/2 - (185*t[87])/4 - (85*t[88])/4 - (1827*t[89])/32 + 
       (5*t[95])/2 - 3*t[96] - 2*t[97] - 24*t[98] + 24*t[99] + 
       (313*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-25*t[1])/6 + (51*t[2])/4 - (41*t[3])/4 - (847*t[4])/16 - 
       (1515*t[5])/16 - (677*t[6])/16 - (557*t[7])/32 - (1243*t[8])/32 + 
       (4003*t[9])/32 + (2151*t[10])/16 - (3041*t[11])/32 + (3185*t[12])/32 - 
       (49897*t[13])/576 + (1917*t[14])/64 - (4871*t[15])/192 + 2*t[19] - 
       (19*t[21])/2 + 6*t[22] + (19*t[23])/2 - 10*t[25] + 8*t[26] + 3*t[32] - 
       3*t[33] + 12*t[34] + 12*t[35] - 2*t[37] - t[38] + 3*t[39] - 9*t[40] + 
       (41*t[41])/8 - (41*t[42])/8 - (977*t[43])/32 + 2*t[44] + 
       (243*t[45])/16 + (39*t[46])/8 - (123*t[47])/8 - (309*t[48])/32 - 
       (497*t[49])/32 + (547*t[50])/32 + (455*t[51])/64 - (163*t[52])/32 + 
       (497*t[53])/32 + (399*t[54])/32 - (137*t[59])/24 - (193*t[60])/4 - 
       (83*t[61])/4 + (1737*t[62])/16 + (2653*t[63])/16 - (6495*t[64])/16 - 
       (31*t[65])/3 + (1487*t[66])/6 + (19*t[69])/2 - 11*t[73] + 
       (27*t[74])/2 + 7*t[75] + (21*t[76])/2 + (13*t[77])/4 - 6*t[78] - 
       20*t[79] - (203*t[80])/2 - (23*t[81])/4 + 11*t[82] + (175*t[83])/4 - 
       (79*t[84])/8 + t[85]/2 - (695*t[86])/4 + (35*t[87])/4 + (35*t[88])/8 - 
       85*t[89] + (3*t[97])/2 - 24*t[98] + 24*t[99] + (313*t[100])/2) + 
     HPL[{0, 1}, 1 - u]*Qep[v, u, w]*(8*t[1] + (32*t[2])/3 + 70*t[3] + 
       64*t[4] - (769*t[5])/3 + 110*t[6] - 30*t[7] + (10*t[8])/3 + 
       (469*t[9])/3 - (530*t[10])/3 - (562*t[11])/3 + (245*t[12])/3 - 
       (2353*t[13])/27 - (1045*t[14])/9 - (905*t[15])/6 + (32*t[26])/3 - 
       (64*t[27])/3 + (64*t[29])/3 - (32*t[30])/3 + (128*t[31])/3 + 
       (64*t[32])/3 - (64*t[33])/3 - (32*t[34])/3 + (256*t[35])/3 - 
       (64*t[37])/3 + (64*t[39])/3 - (128*t[40])/3 + (16*t[41])/3 - 
       (16*t[42])/3 - (148*t[43])/3 - (8*t[45])/3 - 16*t[46] + (80*t[47])/3 + 
       60*t[48] - (68*t[49])/3 + 28*t[50] + (38*t[51])/3 + (76*t[52])/3 + 
       (68*t[53])/3 + (116*t[54])/3 + (32*t[58])/3 - 24*t[59] - 80*t[60] - 
       (944*t[61])/3 + (656*t[62])/3 - 280*t[63] + 24*t[64] + (652*t[65])/9 + 
       (2036*t[66])/9 - (64*t[69])/3 - (64*t[73])/3 + (64*t[75])/3 - 
       (224*t[76])/3 - 16*t[77] + (128*t[78])/3 - (320*t[80])/3 - 
       (128*t[81])/3 + (128*t[82])/3 + 32*t[83] - 48*t[85] - 64*t[86] + 
       144*t[87] + 72*t[88] + 104*t[89] - (32*t[97])/3 - 576*t[98] + 
       576*t[99] + 160*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-24*t[98] - 12*t[99] + 162*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((21*t[1])/2 - 36*t[2] + (321*t[3])/8 - (269*t[4])/8 + (79*t[5])/2 - 
       (47*t[6])/16 - (395*t[7])/8 + (697*t[8])/8 - 61*t[9] + 
       (153*t[10])/16 - (903*t[11])/16 - (541*t[12])/16 - (397*t[13])/48 - 
       (9691*t[14])/96 - (91*t[15])/8 + 6*t[22] + 8*t[24] - 8*t[25] - 
       10*t[26] - 2*t[28] + (11*t[29])/2 - 11*t[30] - 6*t[31] + 4*t[32] + 
       8*t[33] - 15*t[34] - 2*t[35] + 6*t[36] - 2*t[37] + 8*t[38] - 
       12*t[39] - t[40] + (5*t[41])/2 - (5*t[42])/2 - (25*t[43])/8 - 
       (7*t[44])/4 + (93*t[45])/4 + 3*t[46] - (27*t[47])/2 + (285*t[48])/16 - 
       (51*t[49])/16 + (9*t[50])/16 + (113*t[51])/32 + (39*t[52])/16 + 
       (67*t[53])/16 - (115*t[54])/16 - t[56] + 2*t[57] - (5*t[59])/2 - 
       (611*t[60])/8 - (337*t[61])/8 + (205*t[62])/16 - (1517*t[63])/16 + 
       (1991*t[64])/16 + (367*t[65])/24 + (1429*t[66])/24 - 28*t[74] + 
       16*t[76] + 2*t[77] + 11*t[78] - 4*t[79] - 5*t[80] - 12*t[81] - 
       2*t[82] + 4*t[83] - (23*t[84])/8 - (87*t[85])/8 + (43*t[86])/2 + 
       (375*t[87])/8 + (375*t[88])/16 + (571*t[89])/16 + t[91]/6 - t[97] - 
       24*t[98] - 12*t[99] + 162*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((13*t[1])/2 + (13*t[2])/3 + (17*t[3])/2 - 
       (803*t[4])/12 + 40*t[5] + t[6] - (1133*t[7])/24 - (383*t[8])/24 - 
       (323*t[9])/8 + (443*t[10])/12 - (1793*t[11])/24 - (473*t[12])/24 - 
       (14015*t[13])/432 - (3419*t[14])/144 + (2063*t[15])/144 + 
       (7*t[16])/3 + t[17] - (10*t[18])/3 - 2*t[19] - 4*t[20] - 
       (16*t[21])/3 + (16*t[23])/3 - (8*t[24])/3 + (14*t[26])/3 - 2*t[27] + 
       2*t[28] + 2*t[29] - 2*t[30] - 2*t[32] + (2*t[33])/3 - (10*t[34])/3 - 
       2*t[35] + (14*t[36])/3 - t[38] + (4*t[39])/3 - (5*t[41])/2 + 
       (5*t[42])/6 + (57*t[43])/8 - (5*t[44])/3 - (41*t[45])/4 + 
       (19*t[46])/6 + (59*t[47])/6 + (203*t[48])/24 - (169*t[49])/24 - 
       (79*t[50])/8 - (77*t[51])/16 + (269*t[52])/24 + (241*t[53])/24 + 
       (185*t[54])/8 - t[58] + 5*t[59] - (637*t[60])/6 - (380*t[61])/3 + 
       (263*t[62])/6 + (101*t[63])/6 + (139*t[64])/3 - (319*t[65])/18 + 
       (195*t[66])/2 - (7*t[67])/3 - 7*t[68] + (20*t[70])/3 - (20*t[71])/3 - 
       2*t[72] - (4*t[74])/3 - (14*t[76])/3 + (16*t[77])/3 - (34*t[78])/3 + 
       (52*t[80])/3 - 13*t[81] + (41*t[82])/3 - 26*t[83] - (155*t[84])/6 - 
       15*t[85] - (113*t[86])/3 + (134*t[87])/3 + (55*t[88])/3 - 
       (101*t[89])/6 - (7*t[90])/3 - 2*t[92] + 2*t[94] + 4*t[95] - 16*t[98] - 
       52*t[99] + 170*t[100]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-77*t[1])/6 + (25*t[2])/2 + 13*t[3] - 
       (157*t[4])/12 + (163*t[5])/8 - (539*t[6])/24 + (247*t[7])/12 + 
       (13*t[8])/4 - (95*t[9])/24 + (25*t[10])/6 + (835*t[11])/24 + 
       (737*t[12])/24 + (535*t[13])/216 - (195*t[14])/16 - (335*t[15])/48 + 
       t[16]/3 - 4*t[19] + 4*t[21] - 4*t[23] + 2*t[25] + 7*t[26] - 
       (4*t[27])/3 - 4*t[30] + 4*t[31] - 8*t[35] - t[36] + 7*t[37] - 
       9*t[38] - (2*t[39])/3 + (19*t[40])/3 - t[41] + t[42] - (7*t[43])/4 + 
       4*t[44] - (29*t[45])/6 - 4*t[46] + (47*t[47])/3 - (43*t[48])/8 + 
       (41*t[49])/3 + (7*t[50])/24 - (491*t[51])/48 - (45*t[52])/8 - 
       (137*t[53])/6 - (713*t[54])/24 + (2*t[59])/3 - (129*t[60])/4 - 
       4*t[61] - (1273*t[62])/12 - (89*t[63])/4 + (241*t[64])/6 + 
       (695*t[65])/36 - (1705*t[66])/36 - t[67]/3 - t[68]/3 - 4*t[69] + 
       (10*t[70])/3 - (10*t[71])/3 - 8*t[72] - t[74] - 2*t[75] + 
       (5*t[76])/3 - (5*t[77])/3 - (41*t[78])/3 - 8*t[79] + (44*t[80])/3 - 
       (13*t[81])/2 + (11*t[82])/6 + 6*t[83] - (221*t[84])/12 + 
       (47*t[85])/6 + (236*t[86])/3 + (68*t[87])/3 + (82*t[88])/3 - 
       (121*t[89])/8 - (7*t[90])/3 - (10*t[95])/3 - (10*t[96])/3 + 
       (8*t[97])/3 - 16*t[98] - 52*t[99] + 170*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*
      ((11*t[1])/3 + (241*t[2])/3 + 109*t[3] - (1246*t[4])/3 + (712*t[5])/3 - 
       (745*t[6])/12 - (2587*t[7])/12 - (353*t[8])/12 - (3607*t[9])/12 + 
       (1565*t[10])/12 + (335*t[11])/3 + (1859*t[12])/6 - (16639*t[13])/216 + 
       (3265*t[14])/36 + (493*t[15])/24 + 8*t[18] - 52*t[22] + 12*t[27] - 
       32*t[28] - 8*t[34] + 96*t[35] + 40*t[36] - 32*t[39] + (124*t[40])/3 - 
       (22*t[41])/3 + (19*t[42])/3 + (185*t[43])/12 + 4*t[44] + 
       (509*t[45])/2 - 493*t[47] - (59*t[48])/2 - (273*t[49])/2 - 
       (35*t[50])/2 + (109*t[51])/4 + (35*t[52])/2 + (273*t[53])/2 + 
       t[54]/2 + (34*t[59])/3 + 133*t[60] + (668*t[61])/3 - 52*t[62] + 
       450*t[63] - (932*t[64])/3 + (6260*t[65])/9 + (1610*t[66])/9 + 
       352*t[73] + 564*t[75] + 160*t[76] + (58*t[77])/3 + 372*t[78] + 
       40*t[79] - 132*t[80] + 80*t[81] - 40*t[82] - 64*t[83] + 27*t[84] + 
       159*t[85] - 290*t[86] - 241*t[87] - (241*t[88])/2 - (497*t[89])/6 - 
       272*t[98] + 864*t[99] + 184*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*((-64*t[1])/3 - 267*t[2] + 11*t[3] + 
       (4499*t[4])/6 + 713*t[5] - (44*t[6])/3 - 418*t[7] - 584*t[8] - 
       (1783*t[9])/3 + (3830*t[10])/3 + (2831*t[11])/6 - (3007*t[12])/6 + 
       (4033*t[13])/9 - (9863*t[14])/72 + (779*t[15])/2 + 30*t[17] - 
       (56*t[19])/3 + 336*t[20] - 144*t[21] - 240*t[22] + 144*t[23] - 
       24*t[24] + (100*t[26])/3 - 120*t[27] - 120*t[28] - 48*t[29] + 
       72*t[30] + 48*t[31] - 72*t[32] + 180*t[33] - 96*t[34] + 308*t[35] - 
       72*t[36] - 46*t[37] - (28*t[38])/3 - 288*t[39] + 180*t[40] - 
       96*t[41] + 96*t[42] - 9*t[43] - 24*t[44] + 648*t[45] - 72*t[46] - 
       828*t[47] + 6*t[48] + (2995*t[49])/6 + 442*t[50] - (865*t[51])/8 - 
       514*t[52] - (1009*t[53])/2 - (975*t[54])/2 - 24*t[56] + 48*t[57] + 
       (17*t[59])/3 - (191*t[60])/3 + (1349*t[61])/2 + (7579*t[62])/12 - 
       (2711*t[63])/12 - (6631*t[64])/4 - (37735*t[65])/18 - (5885*t[66])/6 + 
       18*t[68] + 136*t[69] - 72*t[72] + 424*t[73] - 108*t[74] - 168*t[75] - 
       (436*t[76])/3 - 96*t[77] + (1784*t[78])/3 + 118*t[79] - 516*t[80] - 
       (388*t[81])/3 - 80*t[82] + 320*t[83] - (2833*t[84])/6 - 
       (3517*t[85])/6 - 596*t[86] + (459*t[87])/2 + (467*t[88])/4 - 
       (2386*t[89])/3 - 24*t[97] - 272*t[98] + 864*t[99] + 184*t[100]) + 
     HPL[{0, 1}, 1 - u]*Qep[w, v, u]*((56*t[1])/9 - (56*t[2])/9 + 78*t[3] + 
       (160*t[4])/9 - (1723*t[5])/9 + (610*t[6])/9 - (470*t[7])/9 - 
       (530*t[8])/9 + (1771*t[9])/9 - (2182*t[10])/9 - (1042*t[11])/9 + 
       (959*t[12])/9 - (5039*t[13])/81 - (697*t[14])/9 - (9281*t[15])/54 + 
       (64*t[26])/9 - (128*t[27])/9 + (256*t[28])/9 + (128*t[29])/9 - 
       (320*t[30])/9 + (128*t[31])/3 + (128*t[32])/9 - (128*t[33])/9 - 
       (64*t[34])/9 + (320*t[35])/3 - (64*t[37])/3 + (256*t[39])/9 - 
       (256*t[40])/9 + (32*t[41])/9 - (32*t[42])/9 - (212*t[43])/9 - 
       (128*t[44])/9 - (272*t[45])/9 - (16*t[46])/3 + (224*t[47])/3 + 
       (496*t[48])/9 - (124*t[49])/9 - 16*t[50] + (2*t[51])/9 + 
       (464*t[52])/9 + (124*t[53])/9 + (424*t[54])/9 + (64*t[58])/9 - 
       (56*t[59])/3 - (616*t[60])/9 - (2168*t[61])/9 + (1196*t[62])/9 - 
       (2428*t[63])/9 + (436*t[64])/3 + (2116*t[65])/27 - (1012*t[66])/27 - 
       (64*t[69])/3 + (32*t[73])/3 - (32*t[75])/3 - (448*t[76])/9 - 
       16*t[77] + (256*t[78])/9 + (160*t[80])/9 - 16*t[81] + (80*t[82])/3 + 
       (32*t[84])/3 + (136*t[85])/9 + (472*t[87])/9 + (236*t[88])/9 + 
       (212*t[89])/3 - (64*t[97])/9 - (1408*t[98])/3 + (1408*t[99])/3 + 
       (640*t[100])/3) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-39*t[1])/8 + (47*t[2])/4 - (253*t[3])/16 + (103*t[4])/4 - 
       (1717*t[5])/32 + (1585*t[6])/32 - (397*t[7])/16 + (1073*t[8])/16 + 
       (1439*t[9])/32 + (319*t[10])/8 - (2393*t[11])/32 - (189*t[12])/32 - 
       (6941*t[13])/288 + (1243*t[14])/48 - (3241*t[15])/192 - t[16]/2 + 
       (5*t[25])/2 + (61*t[26])/4 + (5*t[27])/2 + 20*t[28] + (3*t[29])/2 - 
       (11*t[30])/2 - 3*t[31] + t[32] - t[33] + (7*t[34])/4 - 10*t[35] - 
       10*t[36] - 3*t[37] - (43*t[38])/4 + (19*t[39])/2 - (57*t[40])/4 - 
       (7*t[41])/8 + (7*t[42])/8 - (21*t[43])/8 + (29*t[44])/4 - 
       (85*t[45])/8 + (3*t[46])/4 + (89*t[47])/4 + (865*t[48])/32 + 
       (19*t[49])/16 - (83*t[50])/32 - (117*t[51])/16 + (571*t[52])/32 - 
       (23*t[53])/16 + (831*t[54])/32 + (7*t[58])/4 + (25*t[59])/8 + 
       (475*t[60])/16 - (1105*t[61])/16 + (1771*t[62])/32 - (843*t[63])/32 + 
       (1011*t[64])/32 - (311*t[65])/48 - (2021*t[66])/48 + t[67]/4 - 
       (3*t[68])/2 + 8*t[69] - 3*t[70] + 3*t[71] + t[72] + (13*t[74])/2 + 
       34*t[75] + (5*t[76])/2 + 8*t[77] + (95*t[78])/4 - 12*t[79] - 
       10*t[80] + (15*t[81])/4 - 27*t[82] - 54*t[83] + (363*t[84])/16 + 
       (363*t[85])/16 - (157*t[86])/4 - (51*t[87])/16 - (595*t[88])/32 + 
       (1139*t[89])/32 - t[91]/12 + t[93] + 4*t[95] - (13*t[96])/2 - 
       (41*t[97])/4 + 24*t[98] - 92*t[99] + 229*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((59*t[1])/8 + (97*t[2])/8 + (173*t[3])/16 - (1359*t[4])/16 + 
       (957*t[5])/16 - (375*t[6])/32 + (1083*t[7])/16 + (627*t[8])/16 - 
       (35*t[9])/16 - (409*t[10])/32 - (439*t[11])/32 + (143*t[12])/32 - 
       (14023*t[13])/288 - (707*t[14])/64 - (731*t[15])/96 + (3*t[16])/4 - 
       (5*t[17])/4 + 4*t[18] - t[19] + 7*t[21] + 9*t[22] - 7*t[23] + 
       (5*t[24])/2 + 2*t[25] + (17*t[26])/2 + 9*t[27] + 8*t[28] + 
       (37*t[29])/4 + (21*t[30])/2 - 5*t[31] + (13*t[32])/2 - 9*t[33] - 
       (35*t[34])/4 - 15*t[35] + (5*t[36])/2 + 8*t[37] + 2*t[38] + 11*t[39] - 
       (15*t[40])/4 + (25*t[41])/8 - (9*t[42])/8 + (55*t[43])/16 + 
       (83*t[44])/8 - (171*t[45])/8 + (29*t[46])/2 + (101*t[47])/2 + 
       (653*t[48])/32 - (1013*t[49])/32 + (209*t[50])/32 + (51*t[51])/64 - 
       (217*t[52])/32 + (1029*t[53])/32 + (457*t[54])/32 + (3*t[56])/2 + 
       3*t[57] + (5*t[58])/2 + (5*t[59])/4 - (215*t[60])/8 - (269*t[61])/8 - 
       (2333*t[62])/16 - (3367*t[63])/16 + (3999*t[64])/16 + (199*t[65])/3 + 
       (303*t[66])/4 - t[67]/4 - 2*t[68] + 8*t[69] - 7*t[70] + 7*t[71] - 
       10*t[72] + 16*t[73] + (15*t[74])/2 - 2*t[75] + 5*t[76] + 12*t[77] - 
       (25*t[78])/2 - 7*t[79] + (181*t[80])/2 - (77*t[81])/4 + 6*t[82] - 
       33*t[83] - (15*t[84])/4 - (251*t[85])/8 + 183*t[86] + (587*t[87])/8 + 
       (587*t[88])/16 + (937*t[89])/16 - t[92] + t[94]/2 - (7*t[97])/2 + 
       24*t[98] - 92*t[99] + 229*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-5*t[1])/2 + 13*t[2] - 
       13*t[3] - (115*t[4])/4 + (71*t[5])/8 + (5*t[6])/2 + 17*t[7] - 
       49*t[8] + (319*t[9])/8 - (123*t[10])/8 - (117*t[11])/4 - 
       (143*t[12])/4 + (125*t[13])/36 - (775*t[14])/48 + (1297*t[15])/144 - 
       4*t[19] + 4*t[21] - 4*t[23] + 4*t[27] + 18*t[28] - 5*t[29] + t[30] + 
       2*t[31] - 4*t[32] + 4*t[33] + 4*t[34] - 14*t[35] - 2*t[36] + 4*t[37] - 
       2*t[38] + 2*t[39] - (17*t[40])/2 - 2*t[41] + 2*t[42] + (9*t[43])/4 + 
       (19*t[44])/2 + t[45] + 6*t[46] - 4*t[47] - t[48] - (109*t[49])/8 + 
       15*t[50] + (137*t[51])/16 - 11*t[52] + (45*t[53])/8 - (41*t[54])/4 - 
       (9*t[59])/2 + (289*t[60])/4 - (415*t[61])/4 + (439*t[62])/8 - 
       (663*t[63])/8 - (443*t[64])/8 + (535*t[65])/12 + (541*t[66])/12 - 
       8*t[69] + 4*t[70] - 4*t[71] - 4*t[72] + 12*t[73] + 6*t[74] - 2*t[76] + 
       14*t[77] + 26*t[78] - 16*t[79] + t[80] + t[81] - (27*t[82])/2 - 
       20*t[83] + (127*t[84])/4 + (145*t[85])/4 - 11*t[86] - (57*t[87])/4 - 
       (57*t[88])/8 + (435*t[89])/8 - 12*t[96] - 8*t[97] + 72*t[98] - 
       100*t[99] + 233*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(19*t[1] - (45*t[2])/2 + (37*t[3])/2 + 
       (63*t[4])/4 - (393*t[5])/8 - 68*t[6] + (163*t[7])/4 + (97*t[8])/4 + 
       (281*t[9])/8 + (185*t[10])/8 + 19*t[11] + 18*t[12] - (35*t[13])/24 - 
       (3053*t[14])/48 - (6865*t[15])/144 - 2*t[16] - 2*t[17] + 12*t[18] - 
       32*t[20] + 8*t[21] + 32*t[22] - 8*t[23] + 8*t[24] - 2*t[25] + 
       5*t[26] + 28*t[27] + 2*t[28] - 12*t[29] + 3*t[30] + 18*t[31] + 
       10*t[32] - 16*t[33] - 2*t[34] - 2*t[35] - 18*t[36] - 4*t[37] + 
       8*t[38] + 18*t[39] - 13*t[40] + 2*t[41] + 4*t[42] - 14*t[43] + 
       29*t[44] + (45*t[45])/2 + 13*t[46] + 24*t[47] + (15*t[48])/4 - 
       (215*t[49])/8 - (105*t[50])/4 + (59*t[51])/16 + (25*t[52])/4 + 
       (155*t[53])/8 - 58*t[54] + 4*t[56] + 4*t[57] + 6*t[58] - 10*t[59] + 
       (29*t[60])/4 - (715*t[61])/4 - (163*t[62])/8 - (1757*t[63])/8 + 
       (941*t[64])/8 + (407*t[65])/4 + (143*t[66])/12 + t[67] + 6*t[68] - 
       12*t[69] - 8*t[70] + 8*t[71] - 16*t[72] + 10*t[73] + 6*t[74] + 
       18*t[75] + 2*t[76] + 16*t[77] - 2*t[78] + 50*t[79] - 6*t[80] - 
       11*t[81] + 8*t[82] - 58*t[83] - (41*t[84])/4 - t[85]/4 + 62*t[86] + 
       (237*t[87])/4 + (229*t[88])/8 + (813*t[89])/8 + t[92] - 2*t[93] - 
       t[94] - 8*t[95] - 2*t[97] + 72*t[98] - 100*t[99] + 233*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[u, w, v]*(-8*t[2] + (400*t[3])/9 - 
       (784*t[4])/9 - (32*t[5])/9 + (44*t[6])/3 - (560*t[7])/9 - 
       (64*t[8])/9 + (104*t[9])/3 - (88*t[10])/3 - (1964*t[11])/9 - 
       (344*t[12])/9 - (1696*t[13])/27 - (112*t[14])/3 - (676*t[15])/9 - 
       (64*t[27])/9 + (128*t[28])/9 + (64*t[29])/9 - (352*t[30])/9 + 
       (128*t[31])/3 + 64*t[35] - (64*t[37])/3 + (64*t[39])/9 - 
       (64*t[44])/9 - (32*t[46])/3 + (292*t[48])/9 + (40*t[49])/3 - 
       (380*t[50])/9 - (4*t[51])/9 + (380*t[52])/9 - (40*t[53])/3 + 
       44*t[54] - (32*t[59])/3 + (296*t[60])/9 - (664*t[61])/3 + 
       (112*t[62])/3 + (1696*t[63])/9 - (20*t[64])/9 + (5096*t[65])/27 + 
       (3736*t[66])/27 - (64*t[72])/9 - (64*t[73])/3 + (160*t[75])/3 + 
       (128*t[78])/3 - (16*t[81])/9 + (272*t[82])/9 - (736*t[83])/9 + 
       (208*t[84])/9 + (376*t[85])/9 + (64*t[86])/3 - (568*t[87])/9 - 
       (284*t[88])/9 + (580*t[89])/9 + (704*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((25*t[1])/6 + (107*t[2])/24 + (277*t[3])/8 + (49*t[4])/12 - 
       (2311*t[5])/48 + (71*t[6])/6 + (481*t[7])/48 - (137*t[8])/48 + 
       (167*t[9])/6 - (4147*t[10])/48 + (293*t[11])/48 + (941*t[12])/48 - 
       (28141*t[13])/864 - (1043*t[14])/48 - (5335*t[15])/144 - (5*t[17])/4 + 
       t[18] + 18*t[20] + t[21] - t[22] - t[23] + 4*t[24] - (3*t[25])/2 + 
       (10*t[26])/3 - (31*t[27])/6 + (52*t[28])/3 - (7*t[29])/3 - 
       (29*t[30])/3 + 2*t[31] + (5*t[32])/3 - (2*t[33])/3 + (19*t[34])/6 + 
       4*t[35] - t[38] + (28*t[39])/3 - (89*t[40])/6 + (2*t[41])/3 - 
       t[42]/6 - (233*t[43])/48 - (25*t[44])/6 - (295*t[45])/24 + t[46] + 
       (95*t[47])/4 + (457*t[48])/48 - (23*t[49])/24 + (171*t[50])/16 - 
       (247*t[51])/48 + (503*t[52])/48 + (23*t[53])/24 + (91*t[54])/48 - 
       4*t[57] + (4*t[58])/3 - t[59] - (155*t[60])/6 - (635*t[61])/12 + 
       (263*t[62])/12 - (667*t[63])/12 + (453*t[64])/8 + (913*t[65])/36 + 
       (365*t[66])/36 - 2*t[70] + 2*t[71] - t[74] - (22*t[76])/3 - 5*t[77] + 
       (10*t[78])/3 + (16*t[80])/3 - 5*t[81] + (9*t[82])/2 + t[84]/2 - 
       (37*t[85])/6 + (37*t[86])/2 + (119*t[87])/6 + (119*t[88])/12 + 
       (49*t[89])/4 + t[92]/2 - t[94]/2 - (4*t[97])/3 + 32*t[98] - 94*t[99] + 
       246*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-11*t[1])/2 + (40*t[2])/3 + (40*t[3])/3 + 
       (71*t[4])/6 + (1079*t[5])/48 + (27*t[6])/4 - (7*t[7])/4 - 
       (415*t[8])/12 - (2039*t[9])/48 + (1533*t[10])/16 - (1271*t[11])/12 - 
       (335*t[12])/8 - (1853*t[13])/36 - (559*t[14])/9 - (323*t[15])/288 - 
       (3*t[16])/2 - 2*t[19] - 2*t[21] + 2*t[23] - (107*t[25])/6 + 
       (145*t[26])/6 + (7*t[27])/3 - (26*t[28])/3 + (26*t[29])/3 + 
       (28*t[30])/3 + (5*t[31])/3 - (17*t[34])/6 + (3*t[36])/2 + 
       (11*t[37])/2 - 4*t[38] - (22*t[39])/3 - (20*t[40])/3 - (7*t[41])/12 + 
       (7*t[42])/12 + (22*t[43])/3 - (23*t[44])/3 + (15*t[45])/2 - 
       (89*t[46])/12 - 17*t[47] - 2*t[48] + (1001*t[49])/16 + (51*t[50])/2 - 
       (319*t[51])/12 - (25*t[52])/3 - (733*t[53])/16 - (199*t[54])/4 + 
       (11*t[58])/6 + (35*t[59])/6 - (2873*t[60])/24 - (745*t[61])/8 + 
       (1457*t[62])/12 - 2*t[63] - (6479*t[64])/48 + (641*t[65])/36 + 
       (1535*t[66])/12 - (5*t[67])/2 + (3*t[68])/2 + 2*t[69] - t[70] + 
       t[71] - 22*t[72] - 16*t[73] - (7*t[74])/2 + 52*t[75] - (4*t[76])/3 + 
       t[77]/6 + (131*t[78])/6 + 3*t[79] - 26*t[80] - (55*t[81])/6 + 
       (67*t[82])/6 - 3*t[83] - (41*t[84])/3 + (221*t[85])/12 - 
       (182*t[86])/3 + (113*t[87])/4 + (81*t[88])/8 + (271*t[89])/12 - 
       2*t[93] + 5*t[95] + 6*t[96] - t[97]/3 + 32*t[98] - 94*t[99] + 
       246*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-3*t[1])/2 + (47*t[2])/3 + (1109*t[3])/24 - 
       (943*t[4])/24 + (1621*t[5])/48 - (1187*t[6])/24 - (177*t[7])/8 - 
       (299*t[8])/8 - (3037*t[9])/48 - (1877*t[10])/48 - (557*t[11])/8 + 
       (17*t[12])/3 - (19945*t[13])/432 - (31265*t[14])/288 - 
       (7363*t[15])/288 - 2*t[19] + 2*t[21] - 2*t[23] - (31*t[25])/3 + 
       9*t[26] + (29*t[27])/3 + (16*t[28])/3 - (10*t[29])/3 - (14*t[30])/3 + 
       4*t[31] - (4*t[32])/3 + (4*t[33])/3 - (2*t[34])/3 - 2*t[35] + 
       5*t[36] + (31*t[37])/3 + (4*t[38])/3 - 2*t[39] + (5*t[40])/3 + 
       t[41]/3 - t[42]/3 + (21*t[43])/4 - (17*t[44])/3 - (29*t[45])/3 - 
       (11*t[46])/6 + 14*t[47] - (53*t[48])/6 + (177*t[49])/16 + 
       (59*t[50])/6 - (253*t[51])/96 - (9*t[52])/2 + (253*t[53])/48 - 
       (75*t[54])/8 - (2*t[58])/3 - (2*t[59])/3 - (5029*t[60])/24 - 
       (6677*t[61])/24 + (2717*t[62])/48 - (1079*t[63])/16 + 
       (5887*t[64])/48 + (2515*t[65])/72 + (461*t[66])/8 - t[67]/3 + 
       (2*t[68])/3 + 2*t[69] - (14*t[70])/3 + (14*t[71])/3 - 3*t[72] + 
       2*t[73] + (4*t[74])/3 - 9*t[75] + 27*t[76] - (32*t[77])/3 - 
       (146*t[78])/3 + 4*t[79] + (62*t[80])/3 - 5*t[81] + (191*t[82])/6 + 
       52*t[83] - (297*t[84])/8 + (235*t[85])/8 + (418*t[86])/3 + 
       (1417*t[87])/24 + (409*t[88])/48 - (187*t[89])/16 + t[90]/3 + 
       6*t[95] + (32*t[96])/3 - (5*t[97])/3 + 132*t[98] - 192*t[99] + 
       269*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((28*t[1])/3 - (39*t[2])/2 - (11*t[3])/8 - 
       (77*t[4])/8 - (197*t[5])/16 - (239*t[6])/6 + (61*t[7])/4 - 
       (307*t[8])/12 - (479*t[9])/48 - (1429*t[10])/48 + (239*t[11])/12 + 
       (713*t[12])/24 + (21493*t[13])/432 - (921*t[14])/32 - 
       (5429*t[15])/288 + 2*t[16] - t[17]/6 + 6*t[18] + (2*t[19])/3 + 
       5*t[20] + (4*t[21])/3 - (5*t[22])/3 - (4*t[23])/3 + 2*t[24] + 
       t[25]/3 + (7*t[26])/3 + (11*t[27])/3 - (44*t[28])/3 + (2*t[29])/3 + 
       (13*t[30])/3 + (5*t[31])/3 + (4*t[32])/3 + t[33] + (38*t[34])/3 + 
       18*t[35] + 4*t[36] - 3*t[37] + (2*t[38])/3 - (37*t[39])/3 + 4*t[40] + 
       t[41] + t[42] - (167*t[43])/24 + (19*t[44])/3 - (89*t[45])/4 + 
       (22*t[46])/3 + (263*t[47])/6 - (121*t[48])/8 - (209*t[49])/16 + 
       (277*t[50])/24 - (317*t[51])/96 - (437*t[52])/24 + (547*t[53])/48 - 
       (23*t[54])/2 + (5*t[58])/3 - (10*t[59])/3 + (41*t[60])/24 - 
       (2495*t[61])/24 + (1873*t[62])/48 - (1769*t[63])/48 - (49*t[64])/16 + 
       (9449*t[65])/72 + (199*t[66])/8 - (25*t[68])/3 + 10*t[69] - 8*t[70] + 
       8*t[71] - 10*t[72] - 8*t[74] + 10*t[75] + (56*t[76])/3 - 
       (46*t[78])/3 - 8*t[79] + 83*t[80] - (2*t[81])/3 + (76*t[82])/3 - 
       10*t[83] - (29*t[84])/24 + (181*t[85])/8 - 17*t[86] + (131*t[87])/24 + 
       (131*t[88])/48 + (1037*t[89])/16 + t[90]/3 - t[92]/3 - t[94]/3 + 
       (4*t[97])/3 + 132*t[98] - 192*t[99] + 269*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-23*t[1])/2 - (175*t[2])/6 + (1595*t[3])/24 - (175*t[4])/24 + 
       (235*t[5])/6 - (1247*t[6])/16 - (547*t[7])/8 - (1373*t[8])/24 - 
       (134*t[9])/3 - (1247*t[10])/16 - (5453*t[11])/48 - (709*t[12])/16 - 
       (2545*t[13])/48 - (44393*t[14])/288 - (1903*t[15])/72 - t[16] + 
       t[17] - 2*t[19] - 4*t[20] - 2*t[21] + 4*t[22] + 2*t[23] + 8*t[24] + 
       (8*t[25])/3 - (46*t[26])/3 - (2*t[27])/3 - (50*t[28])/3 + 
       (61*t[29])/6 + (43*t[30])/3 + (74*t[31])/3 + 8*t[32] - (37*t[34])/3 + 
       34*t[35] + 8*t[36] + 14*t[37] - 2*t[38] - (28*t[39])/3 + t[40]/3 - 
       (23*t[41])/6 + (23*t[42])/6 - (115*t[43])/24 - (5*t[44])/12 + 
       (93*t[45])/4 + (22*t[46])/3 - (15*t[47])/2 - (275*t[48])/16 + 
       (53*t[49])/16 - (215*t[50])/16 - (149*t[51])/96 - (139*t[52])/48 - 
       (21*t[53])/16 - (515*t[54])/16 + t[56] + 2*t[57] - (2*t[58])/3 - 
       (43*t[59])/6 - (1805*t[60])/24 - (1517*t[61])/8 + (4199*t[62])/48 + 
       (2163*t[63])/16 + (3721*t[64])/48 - (1439*t[65])/72 + 
       (4981*t[66])/24 - 26*t[72] - 16*t[74] + (110*t[76])/3 + (14*t[77])/3 + 
       (49*t[78])/3 - 4*t[79] - 17*t[80] - (17*t[81])/3 + (11*t[82])/3 + 
       12*t[83] - (841*t[84])/24 + (139*t[85])/24 - (79*t[86])/6 + 
       (87*t[87])/8 + (87*t[88])/16 + (1525*t[89])/48 + t[91]/6 + 
       (5*t[97])/3 + 80*t[98] - 92*t[99] + 277*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-5*t[1])/6 + (17*t[2])/6 - (5*t[3])/6 + (93*t[4])/2 + (49*t[5])/6 + 
       (46*t[6])/3 - (269*t[7])/6 - (419*t[8])/6 - t[9]/6 - (9*t[10])/8 - 
       (1247*t[11])/12 - (653*t[12])/24 - (5*t[13])/27 - (367*t[14])/6 + 
       (2507*t[15])/72 - 3*t[16] - (10*t[19])/3 - 2*t[25] - 4*t[26] - 
       4*t[27] + 18*t[28] + 2*t[29] + 18*t[31] + (11*t[34])/3 - 16*t[35] - 
       (74*t[36])/3 + 10*t[37] + 4*t[38] + (43*t[39])/3 - 16*t[40] - 
       (11*t[41])/6 + (11*t[42])/6 + (44*t[45])/3 + 11*t[46] - (88*t[47])/3 + 
       (17*t[48])/3 + (71*t[49])/8 - (31*t[50])/3 + (79*t[51])/24 + 8*t[52] - 
       (289*t[53])/24 + (73*t[54])/3 - (2*t[58])/3 - (13*t[59])/6 - 
       (107*t[60])/4 - 108*t[61] + (1058*t[62])/3 + (77*t[63])/2 - 
       (1175*t[64])/4 + (371*t[65])/18 + 109*t[66] + t[67] - 4*t[69] - 
       (14*t[70])/3 + (14*t[71])/3 + 2*t[73] + (56*t[74])/3 + 24*t[75] - 
       (4*t[76])/3 + (46*t[77])/3 + (7*t[78])/3 - 8*t[79] - 40*t[80] + 
       (14*t[81])/3 - 8*t[82] - 71*t[83] + t[84]/2 + 3*t[85] - 
       (946*t[86])/3 - 98*t[87] - (98*t[88])/3 + (2033*t[89])/24 - 
       (4*t[95])/3 + (8*t[96])/3 - (13*t[97])/3 - 8*t[98] - 8*t[99] + 
       287*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((-3*t[1])/2 - 7*t[2] + (535*t[3])/12 - 
       (644*t[4])/3 + (2867*t[5])/24 - (2129*t[6])/24 + (1211*t[7])/24 - 
       (1883*t[8])/24 - (1597*t[9])/12 + (1643*t[10])/24 - (422*t[11])/3 + 
       (391*t[12])/24 - (12907*t[13])/144 - (1847*t[14])/36 + 
       (475*t[15])/12 - (2*t[17])/3 + (4*t[18])/3 + (8*t[19])/9 + 4*t[21] - 
       (10*t[22])/3 + 2*t[23] + (32*t[24])/3 - (8*t[25])/3 + (7*t[26])/3 - 
       (4*t[27])/3 + 6*t[28] - 4*t[30] + 16*t[31] - (10*t[32])/3 + 
       (10*t[33])/3 - (5*t[34])/3 - 6*t[35] + (14*t[37])/3 + (8*t[38])/3 + 
       (2*t[39])/3 + 10*t[40] - (29*t[41])/6 + t[42]/2 + (199*t[43])/8 + 
       (46*t[44])/3 + (547*t[45])/12 + 17*t[46] - (445*t[47])/6 + 
       (13*t[48])/3 - (107*t[49])/12 - (55*t[50])/3 + (3*t[51])/8 + 
       (4*t[52])/3 + (107*t[53])/12 + (109*t[54])/6 - (5*t[58])/3 - 
       (59*t[59])/6 - (389*t[60])/3 - (1051*t[61])/6 - (397*t[62])/6 - 
       (431*t[63])/6 - (253*t[64])/12 + (1064*t[65])/9 + (1027*t[66])/18 - 
       (10*t[67])/3 - 8*t[69] - (14*t[70])/3 + (14*t[71])/3 - (58*t[74])/3 - 
       (4*t[76])/3 + (8*t[77])/3 - (5*t[78])/3 + 4*t[79] - (100*t[80])/3 - 
       (52*t[81])/3 + 16*t[82] + 27*t[83] - 26*t[84] + (23*t[85])/6 + 
       (119*t[86])/3 + (397*t[87])/6 + (397*t[88])/12 + 64*t[89] + 
       (14*t[94])/3 - (5*t[97])/3 - 8*t[98] - 8*t[99] + 287*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      (-4*t[1] - (11*t[2])/6 + (155*t[3])/6 - (307*t[4])/12 + (225*t[5])/8 - 
       (457*t[6])/24 - 10*t[7] - (413*t[8])/6 - t[9]/24 + (109*t[10])/6 - 
       (1775*t[11])/24 - (91*t[12])/24 - (1297*t[13])/27 - (4007*t[14])/72 - 
       (689*t[15])/48 - (2*t[19])/3 - 3*t[25] + 3*t[26] + 3*t[28] - 4*t[30] + 
       9*t[31] + 2*t[32] - 2*t[33] + (4*t[34])/3 - 2*t[35] - (4*t[36])/3 + 
       4*t[37] - (2*t[38])/3 + (5*t[39])/3 - t[40] - (2*t[41])/3 + 
       (2*t[42])/3 + 2*t[43] + 4*t[44] - 2*t[45] + (17*t[46])/6 + 6*t[47] - 
       (415*t[48])/24 + (19*t[49])/3 + (73*t[50])/24 - (83*t[51])/8 - 
       (185*t[52])/24 - t[53] - (89*t[54])/8 - t[58]/3 - 3*t[59] - 
       (505*t[60])/12 - (452*t[61])/3 + (557*t[62])/8 + (1409*t[63])/24 - 
       (209*t[64])/12 + (841*t[65])/36 + (5737*t[66])/36 - (4*t[68])/3 + 
       2*t[69] + (4*t[70])/3 - (4*t[71])/3 - 8*t[72] - 2*t[73] + t[74]/3 + 
       3*t[75] + (43*t[76])/3 + (11*t[77])/3 - (43*t[78])/3 + 4*t[79] - 
       t[80] - (37*t[81])/6 + (19*t[82])/2 - 16*t[83] - (287*t[84])/12 + 
       (52*t[85])/3 - 30*t[86] + (67*t[87])/6 + (49*t[88])/4 + 16*t[89] - 
       t[90]/3 + (4*t[95])/3 - (10*t[96])/3 + t[97]/3 + 56*t[98] - 
       118*t[99] + 289*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((71*t[1])/6 - 6*t[2] + (1387*t[3])/48 - 
       (1371*t[4])/16 + (1291*t[5])/12 - (1147*t[6])/32 - (537*t[7])/16 + 
       (1103*t[8])/16 - (695*t[9])/8 - (2699*t[10])/96 + (881*t[11])/32 - 
       (1441*t[12])/96 + (13601*t[13])/864 - (62267*t[14])/576 - 
       (149*t[15])/144 + t[16] + (3*t[17])/2 + (4*t[18])/3 - (26*t[19])/3 + 
       8*t[20] + (10*t[21])/3 - (8*t[22])/3 - (10*t[23])/3 + (22*t[24])/3 - 
       5*t[25] - (53*t[26])/6 + 4*t[28] + (3*t[29])/4 - t[30]/2 - 13*t[31] - 
       (14*t[32])/3 + (23*t[33])/3 - (8*t[34])/3 - 8*t[35] + (28*t[37])/3 + 
       (55*t[38])/6 - (23*t[39])/3 + (21*t[40])/2 + t[41]/6 + t[42]/2 + 
       (107*t[43])/48 - (111*t[44])/8 + (259*t[45])/24 + (28*t[46])/3 + 
       (275*t[47])/12 + (605*t[48])/32 - (2095*t[49])/96 - (997*t[50])/96 + 
       (311*t[51])/64 - (347*t[52])/96 + (709*t[53])/32 + (401*t[54])/32 - 
       t[56]/6 - t[57]/3 - (3*t[58])/2 - (55*t[59])/12 - (1453*t[60])/12 - 
       (109*t[61])/4 - (3197*t[62])/24 - (1781*t[63])/24 + (6593*t[64])/24 + 
       (5825*t[65])/36 + (303*t[66])/4 - (13*t[67])/6 - (19*t[68])/3 + 
       t[69] - 2*t[70] + 2*t[71] - 4*t[72] - 10*t[73] + (10*t[74])/3 + 
       19*t[75] + 9*t[76] + 11*t[77] - (119*t[78])/6 + 11*t[79] + 
       (187*t[80])/3 - 24*t[81] + (88*t[82])/3 - (33*t[83])/2 - 
       (101*t[84])/6 - (409*t[85])/12 + 89*t[86] + (351*t[87])/4 + 
       (351*t[88])/8 + (793*t[89])/24 - (2*t[90])/3 - (4*t[92])/3 + 
       (7*t[94])/3 + (5*t[97])/6 + 56*t[98] - 118*t[99] + 289*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (9*t[2] + t[3] + (229*t[4])/2 - (115*t[5])/2 - (75*t[6])/4 + 154*t[7] - 
       19*t[8] + (9*t[9])/2 + (495*t[10])/4 - (161*t[11])/4 - (305*t[12])/4 - 
       (4*t[13])/3 - (649*t[14])/8 + (11*t[15])/3 + 8*t[27] - 16*t[28] + 
       16*t[29] + 26*t[30] - 48*t[35] - 8*t[39] - 4*t[40] + 92*t[44] + 
       15*t[46] - (299*t[48])/4 + (117*t[49])/4 + (109*t[50])/4 - 
       (119*t[51])/8 - (109*t[52])/4 - (117*t[53])/4 + (57*t[54])/4 - 
       (53*t[60])/2 + (75*t[61])/2 + (69*t[62])/4 - (809*t[63])/4 + 
       (97*t[64])/4 - (197*t[65])/3 + (28*t[66])/3 + 20*t[72] - 78*t[73] - 
       222*t[75] - 60*t[76] - 132*t[78] + 29*t[81] - t[82] + 110*t[83] + 
       4*t[84] + (83*t[85])/2 + (97*t[87])/2 + (97*t[88])/4 - (125*t[89])/4 - 
       96*t[98] + 300*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(51*t[2] + 154*t[3] - 113*t[4] - 
       (113*t[5])/4 - (491*t[6])/4 + 271*t[7] - 91*t[8] - (99*t[9])/4 - 
       (65*t[10])/2 - (393*t[11])/4 + (705*t[12])/4 - (647*t[13])/6 - 
       (443*t[14])/4 - (151*t[15])/8 - 3*t[17] - 12*t[19] - 36*t[20] + 
       12*t[21] - 12*t[23] - 72*t[24] + 20*t[27] - 28*t[28] - 16*t[29] + 
       14*t[30] + 24*t[31] + 24*t[32] - 54*t[33] - 108*t[35] + 12*t[37] + 
       16*t[39] - 36*t[40] + 24*t[43] + 32*t[44] - 168*t[45] + 12*t[46] + 
       192*t[47] - (623*t[48])/4 - (121*t[49])/2 + (49*t[50])/4 + 
       (69*t[51])/4 - t[52]/4 + (121*t[53])/2 - (269*t[54])/4 - 
       (29*t[60])/2 - 380*t[61] - (113*t[62])/4 - (1611*t[63])/4 - 
       221*t[64] + (1085*t[65])/3 + 215*t[66] - 3*t[68] - 12*t[69] + 
       32*t[72] - 144*t[73] - 30*t[75] - 108*t[76] + 24*t[77] - 132*t[78] - 
       12*t[79] + 48*t[80] + 17*t[81] + 47*t[82] + 110*t[83] - 38*t[84] + 
       (227*t[85])/2 + 282*t[86] + (25*t[87])/2 + (25*t[88])/4 - 11*t[89] - 
       96*t[98] + 300*t[100]) + HPL[{0, 1}, 1 - w]*Qep[w, v, u]*
      (-16*t[1] + (376*t[2])/9 - (704*t[3])/9 + (190*t[4])/9 - (292*t[5])/9 + 
       (448*t[6])/3 + 48*t[7] + (2672*t[8])/9 - (20*t[9])/9 - (559*t[10])/3 - 
       (284*t[11])/9 - (287*t[12])/3 + (374*t[13])/27 + (6829*t[14])/54 + 
       (869*t[15])/27 + (128*t[25])/9 + (80*t[26])/9 - (128*t[27])/9 + 
       (256*t[28])/9 + (128*t[29])/9 - (320*t[30])/9 + (512*t[31])/9 - 
       (64*t[34])/9 + (320*t[35])/3 + (32*t[36])/3 + (64*t[37])/3 - 
       16*t[38] + (128*t[39])/9 - (128*t[40])/9 + (32*t[41])/9 - 
       (32*t[42])/9 + (64*t[43])/9 - (128*t[44])/9 + (40*t[46])/9 + 
       (296*t[48])/3 + (155*t[49])/3 - (88*t[50])/3 - (1061*t[51])/18 + 
       (584*t[52])/9 - (179*t[53])/3 + (70*t[54])/3 + (64*t[58])/9 - 
       (152*t[59])/9 + (578*t[60])/9 + 202*t[61] + (1829*t[62])/9 - 
       (151*t[63])/3 - (2567*t[64])/9 + (2654*t[65])/27 - (322*t[66])/9 + 
       32*t[74] + (256*t[75])/3 - (832*t[76])/9 - (64*t[77])/9 + 
       (1792*t[78])/9 - (544*t[79])/3 - (64*t[80])/3 + (16*t[81])/9 + 
       (32*t[82])/9 - (256*t[83])/3 + (574*t[84])/9 + (14*t[85])/9 - 
       (1568*t[86])/9 + (242*t[87])/3 + (121*t[88])/3 + (1099*t[89])/9 - 
       (64*t[97])/9 - (1408*t[98])/3 + (1408*t[99])/3 + (928*t[100])/3) + 
     HPL[{0, 1}, 1 - u]*Qep[u, w, v]*((-128*t[1])/9 + (8*t[2])/9 + 
       (316*t[3])/3 + (368*t[4])/9 - (1502*t[5])/9 + (200*t[6])/9 - 
       (580*t[7])/9 - (1108*t[8])/9 + (1562*t[9])/9 - (2180*t[10])/9 - 
       (2432*t[11])/9 + (646*t[12])/9 - (8098*t[13])/81 - (1618*t[14])/9 - 
       (5537*t[15])/27 + (32*t[26])/9 - (64*t[27])/9 + (128*t[28])/9 + 
       (64*t[29])/9 - (352*t[30])/9 + (128*t[31])/3 + (64*t[32])/9 - 
       (64*t[33])/9 - (32*t[34])/9 + 64*t[35] - (64*t[37])/3 + 
       (128*t[39])/9 - (128*t[40])/9 + (16*t[41])/9 - (16*t[42])/9 - 
       (400*t[43])/9 - (64*t[44])/9 - (616*t[45])/9 - (32*t[46])/3 + 
       144*t[47] + (404*t[48])/9 - (32*t[49])/9 - (68*t[50])/3 + 
       (40*t[51])/9 + (364*t[52])/9 + (32*t[53])/9 + (428*t[54])/9 + 
       (32*t[58])/9 - 32*t[59] - (1208*t[60])/9 - (5032*t[61])/9 + 
       (2188*t[62])/9 - (2084*t[63])/9 + 180*t[64] + (2168*t[65])/27 + 
       (7096*t[66])/27 - (64*t[69])/3 + (32*t[73])/3 - (32*t[75])/3 - 
       (224*t[76])/9 - 32*t[77] + (128*t[78])/9 + (800*t[80])/9 - 
       (80*t[81])/3 + (272*t[82])/3 + (128*t[83])/3 - 16*t[84] + 
       (152*t[85])/9 + (256*t[86])/3 + (776*t[87])/9 + (388*t[88])/9 + 
       (188*t[89])/3 - (32*t[97])/9 - (1088*t[98])/3 + (1088*t[99])/3 + 
       (992*t[100])/3) + HPL[{0, 1}, 1 - w]*Qep[v, u, w]*
      ((-128*t[1])/3 + 16*t[2] - (64*t[3])/3 - 60*t[4] + (112*t[5])/3 + 
       (176*t[6])/3 + 48*t[7] + 32*t[8] - (40*t[9])/3 - 158*t[10] - 
       144*t[11] - (146*t[12])/3 - 4*t[13] - (59*t[14])/9 + 46*t[15] + 
       (64*t[25])/3 + (32*t[26])/3 - (64*t[27])/3 + (64*t[29])/3 - 
       (32*t[30])/3 + 64*t[31] + (256*t[35])/3 + 32*t[36] + (64*t[37])/3 - 
       32*t[38] + (32*t[43])/3 - 8*t[46] + 16*t[48] + (106*t[49])/3 - 
       16*t[50] - (137*t[51])/3 + 16*t[52] - 38*t[53] - (4*t[54])/3 - 
       (16*t[59])/3 - (68*t[60])/3 + (452*t[61])/3 + (878*t[62])/3 + 
       (874*t[63])/3 - (602*t[64])/3 + (1468*t[65])/9 + (2932*t[66])/9 - 
       (128*t[72])/3 + (64*t[74])/3 + (256*t[75])/3 - (128*t[76])/3 + 
       (512*t[78])/3 - 128*t[79] - (160*t[83])/3 + 4*t[84] + (124*t[85])/3 - 
       (640*t[86])/3 + (148*t[87])/3 + (74*t[88])/3 + (346*t[89])/3 - 
       64*t[98] + 64*t[99] + 384*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-77*t[1])/4 + (67*t[2])/4 - 35*t[3] + 
       (219*t[4])/4 - (747*t[5])/8 + (225*t[6])/2 - 69*t[7] + 153*t[8] + 
       (607*t[9])/8 + 49*t[10] - (683*t[11])/4 - (153*t[12])/8 - 
       (617*t[13])/9 + (863*t[14])/16 - (2077*t[15])/144 - (3*t[16])/2 + 
       6*t[25] + (43*t[26])/2 + 38*t[28] + 8*t[29] - 10*t[30] - 10*t[31] + 
       (13*t[34])/2 - 16*t[35] - 21*t[36] - 3*t[37] - (59*t[38])/2 + 
       12*t[39] - 23*t[40] - (13*t[41])/4 + (13*t[42])/4 - 3*t[43] + 
       4*t[44] - 16*t[45] + (11*t[46])/2 + 32*t[47] + (241*t[48])/4 + 
       (3*t[49])/4 - (55*t[50])/4 - (241*t[51])/16 + (149*t[52])/4 - 
       (49*t[53])/4 + (103*t[54])/2 + (5*t[58])/2 + (41*t[59])/4 + 
       106*t[60] - (441*t[61])/4 + (1079*t[62])/8 - (123*t[63])/8 - 
       (303*t[64])/8 + (153*t[65])/4 + (23*t[66])/4 + t[67]/2 - t[68] + 
       20*t[69] - 2*t[70] + 2*t[71] + 22*t[72] - 8*t[73] + 7*t[74] + 
       84*t[75] - 37*t[76] + 16*t[77] + (225*t[78])/2 - 44*t[79] - 23*t[80] + 
       (13*t[81])/2 - 40*t[82] - 120*t[83] + (229*t[84])/4 + (151*t[85])/4 - 
       104*t[86] - (143*t[87])/4 - (271*t[88])/8 + (103*t[89])/2 + 4*t[93] + 
       4*t[95] - 23*t[96] - (43*t[97])/2 - 96*t[98] + 8*t[99] + 400*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((35*t[1])/4 + (85*t[2])/4 + 10*t[3] - (669*t[4])/4 + 200*t[5] + 
       (195*t[6])/8 + (561*t[7])/8 + (1135*t[8])/8 - (547*t[9])/8 + 
       36*t[10] - (103*t[11])/2 - (287*t[12])/8 - (13123*t[13])/144 - 
       (103*t[14])/48 + (2909*t[15])/144 + 4*t[16] + (5*t[17])/2 + 4*t[18] - 
       4*t[19] + 22*t[20] + 16*t[21] + 14*t[22] - 16*t[23] + 10*t[24] + 
       t[25] + 6*t[26] + 3*t[27] + 32*t[28] + 20*t[29] + 18*t[30] - 8*t[31] + 
       15*t[32] - 7*t[33] - (53*t[34])/2 - 40*t[35] + 16*t[36] + 24*t[37] + 
       4*t[38] + 15*t[39] - (5*t[40])/2 + (13*t[41])/4 - (5*t[42])/4 + 
       (153*t[43])/8 + 13*t[44] - (81*t[45])/4 + (41*t[46])/2 + 45*t[47] + 
       70*t[48] - (437*t[49])/8 - t[50] + (199*t[51])/16 + (19*t[52])/2 + 
       (437*t[53])/8 + (141*t[54])/4 + (5*t[56])/2 + 10*t[57] + 3*t[58] + 
       (7*t[59])/2 + (9*t[60])/4 + (277*t[61])/4 - (2861*t[62])/8 - 
       (3439*t[63])/8 + (3217*t[64])/8 + (232*t[65])/3 + (605*t[66])/6 - 
       (7*t[67])/2 - 12*t[68] + 20*t[69] - 6*t[70] + 6*t[71] + 6*t[72] + 
       16*t[73] + 5*t[74] + 20*t[75] - 16*t[76] + 32*t[77] + 11*t[78] - 
       30*t[79] + 173*t[80] - (85*t[81])/2 + 6*t[82] - 80*t[83] + 
       (15*t[84])/2 - (331*t[85])/4 + 301*t[86] + (475*t[87])/4 + 
       (475*t[88])/8 + (825*t[89])/8 - 5*t[92] + 4*t[93] + 4*t[94] - 
       7*t[97] - 96*t[98] + 8*t[99] + 400*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*(-63*t[1] - 3*t[2] + 
       (3*t[3])/2 + 129*t[4] - (4299*t[5])/8 + (183*t[6])/4 + (939*t[7])/4 - 
       (285*t[8])/4 + (4035*t[9])/8 - (675*t[10])/2 - (1611*t[11])/4 + 
       (2245*t[12])/8 - (733*t[13])/24 - (1089*t[14])/8 - (14099*t[15])/48 + 
       78*t[25] - 48*t[26] - 30*t[27] - 36*t[28] - 21*t[29] + 84*t[30] + 
       82*t[31] + 12*t[32] - 12*t[33] - 18*t[34] + 108*t[35] + 96*t[36] + 
       84*t[37] - 24*t[38] - 54*t[39] - 6*t[40] + 3*t[41] - 3*t[42] - 
       (195*t[43])/2 + (345*t[44])/2 - (165*t[45])/2 - 69*t[46] + 177*t[47] - 
       15*t[48] + (657*t[49])/4 + 21*t[50] - 21*t[51] + 45*t[52] - 
       (417*t[53])/4 + (159*t[54])/2 + 6*t[58] - 6*t[59] - (519*t[60])/2 - 
       (1193*t[61])/2 - 171*t[62] + 51*t[63] + (1173*t[64])/4 + 
       (373*t[65])/3 - (1802*t[66])/3 + 6*t[68] - 24*t[70] + 24*t[71] - 
       84*t[72] + 120*t[73] - 144*t[74] - 240*t[75] - 123*t[76] - 78*t[77] + 
       135*t[78] + 90*t[79] - 378*t[80] + 69*t[81] - 66*t[82] + 234*t[83] - 
       (195*t[84])/2 + (255*t[85])/2 + 777*t[86] + (153*t[87])/2 - 
       (303*t[88])/4 + (213*t[89])/2 + 6*t[93] + 24*t[95] + 24*t[96] - 
       24*t[97] - 576*t[98] + 720*t[99] + 420*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*(84*t[1] + (291*t[2])/2 - 
       (411*t[3])/2 - 372*t[4] + (1355*t[5])/4 + (811*t[6])/8 - 81*t[7] - 
       (327*t[8])/2 - (535*t[9])/2 + (1257*t[10])/2 + (533*t[11])/8 - 
       (1029*t[12])/4 + (519*t[13])/4 + (1827*t[14])/8 + (3475*t[15])/12 + 
       12*t[16] + 3*t[17] - 60*t[24] - 30*t[25] + 90*t[26] + 18*t[27] + 
       48*t[28] - 12*t[29] - 36*t[30] - 118*t[31] - 96*t[32] - 6*t[33] + 
       48*t[34] - 120*t[35] + 60*t[36] - 60*t[37] + 24*t[38] + 30*t[39] + 
       90*t[40] - 12*t[41] + 12*t[42] + 78*t[43] - 48*t[44] - 45*t[45] - 
       9*t[46] - 42*t[47] + (149*t[48])/8 - (303*t[49])/2 + (113*t[50])/8 + 
       (111*t[51])/4 - (113*t[52])/8 + (327*t[53])/2 + (1483*t[54])/8 - 
       3*t[59] + 19*t[60] + 259*t[61] + 152*t[62] - 377*t[63] - 407*t[64] + 
       (3653*t[65])/6 - (1363*t[66])/6 - 6*t[67] - 18*t[68] - 24*t[70] + 
       24*t[71] + 96*t[72] - 12*t[73] + 12*t[74] + 144*t[75] - 177*t[76] - 
       30*t[77] - 27*t[78] - 6*t[79] + 264*t[80] + 72*t[81] + 63*t[82] - 
       264*t[83] + (33*t[84])/2 - 206*t[85] - 474*t[86] + 422*t[87] + 
       211*t[88] + (343*t[89])/2 - t[91] - 6*t[92] + 12*t[93] + 6*t[94] - 
       12*t[97] - 576*t[98] + 720*t[99] + 420*t[100]) + 
     HPL[{0, 1}, 1 - w]*Qep[u, w, v]*((-64*t[1])/3 + (152*t[2])/9 - 
       (448*t[3])/9 + (470*t[4])/9 + (292*t[5])/9 + 72*t[6] - 80*t[7] + 
       (928*t[8])/9 - (772*t[9])/9 - (163*t[10])/3 - (748*t[11])/9 - 
       73*t[12] + (1654*t[13])/27 - (487*t[14])/54 + (1597*t[15])/27 + 
       (256*t[25])/9 - (80*t[26])/9 - (64*t[27])/9 + (128*t[28])/9 + 
       (64*t[29])/9 - (352*t[30])/9 + (640*t[31])/9 - (32*t[34])/9 + 
       64*t[35] + (64*t[36])/3 + (64*t[37])/3 - 16*t[38] + (64*t[39])/9 - 
       (64*t[40])/9 + (16*t[41])/9 - (16*t[42])/9 + (128*t[43])/9 - 
       (64*t[44])/9 - (208*t[46])/9 + 80*t[48] + (119*t[49])/3 - 16*t[50] - 
       (457*t[51])/18 + (304*t[52])/9 - 45*t[53] - (34*t[54])/3 + 
       (32*t[58])/9 - (136*t[59])/9 - (446*t[60])/9 + (182*t[61])/3 + 
       (3229*t[62])/9 + (377*t[63])/3 - (2191*t[64])/9 + (2326*t[65])/27 + 
       (290*t[66])/3 - (64*t[72])/3 + (32*t[74])/3 + (256*t[75])/3 - 
       (608*t[76])/9 - (32*t[77])/9 + (1664*t[78])/9 - (224*t[79])/3 - 
       (128*t[80])/3 - (16*t[81])/9 + (352*t[82])/9 - (160*t[83])/3 + 
       (278*t[84])/9 - (26*t[85])/9 - (3040*t[86])/9 + (418*t[87])/3 + 
       (209*t[88])/3 + (683*t[89])/9 - (32*t[97])/9 - (1088*t[98])/3 + 
       (1088*t[99])/3 + (1280*t[100])/3) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((-31*t[1])/12 - (361*t[2])/24 + 
       (647*t[3])/8 - (35*t[4])/3 - (443*t[5])/24 - (1273*t[6])/24 + 
       (71*t[7])/24 - (3457*t[8])/24 + (221*t[9])/6 - (737*t[10])/24 - 
       (256*t[11])/3 - (67*t[12])/12 - (17051*t[13])/432 - (601*t[14])/4 - 
       (5335*t[15])/144 + t[17]/4 + 3*t[19] - 6*t[20] - 6*t[21] + 4*t[22] + 
       3*t[23] - 5*t[24] + (4*t[26])/3 + (28*t[27])/3 + (16*t[28])/3 + 
       (47*t[29])/3 - (23*t[30])/3 - (77*t[32])/6 - (79*t[33])/6 + 
       (19*t[34])/6 + 4*t[35] + (7*t[39])/3 - (13*t[40])/3 + (29*t[41])/12 - 
       (29*t[42])/12 + t[43]/3 - (133*t[44])/6 - (91*t[45])/6 + 2*t[46] + 
       40*t[47] - (323*t[48])/12 - (109*t[49])/12 + (5*t[50])/4 - 
       (59*t[51])/24 - (61*t[52])/12 + (109*t[53])/12 - (389*t[54])/12 - 
       t[55] + (4*t[58])/3 + (25*t[59])/4 - (5357*t[60])/24 - (977*t[61])/3 + 
       (4445*t[62])/48 - (5737*t[63])/48 + (371*t[64])/4 + (5503*t[65])/36 + 
       (5699*t[66])/36 - t[68] - 6*t[70] + 6*t[71] - 14*t[72] - 3*t[74] + 
       (80*t[76])/3 + 15*t[77] - (343*t[78])/6 + (22*t[80])/3 - 
       (33*t[81])/4 + (41*t[82])/4 - (125*t[84])/4 + (941*t[85])/24 + 
       24*t[86] + (1775*t[87])/24 + (815*t[88])/48 + (289*t[89])/4 - 
       t[90]/2 + 6*t[95] + 5*t[96] - (41*t[97])/6 + 128*t[98] - 260*t[99] + 
       481*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-7*t[1])/4 + (53*t[2])/24 + (665*t[3])/6 + (305*t[4])/24 - 
       (853*t[5])/48 - (269*t[6])/8 - 5*t[7] - (331*t[8])/3 - (881*t[9])/48 + 
       (143*t[10])/16 - (857*t[11])/12 - (153*t[12])/4 - (523*t[13])/12 - 
       (28043*t[14])/288 - (16505*t[15])/288 + t[17]/4 + 12*t[18] - 
       14*t[19] + 46*t[20] - 6*t[21] - 20*t[22] + 6*t[23] - 5*t[24] + 
       (8*t[25])/3 + (5*t[26])/3 + (19*t[27])/3 + (16*t[28])/3 + 
       (26*t[29])/3 - (23*t[30])/3 + (8*t[31])/3 - (31*t[32])/2 + 
       (9*t[33])/2 + (37*t[34])/6 + 4*t[35] + 2*t[36] + (9*t[37])/2 - 
       3*t[38] - (19*t[39])/3 + (4*t[40])/3 - (79*t[41])/12 + (73*t[42])/12 + 
       (4*t[43])/3 + (89*t[44])/6 - 16*t[45] + (4*t[46])/3 + 33*t[47] - 
       (127*t[48])/8 + (337*t[49])/16 + (53*t[50])/8 - (1751*t[51])/96 - 
       (251*t[52])/24 - (353*t[53])/16 - 44*t[54] + t[55]/2 + (4*t[58])/3 - 
       (191*t[59])/12 - (1549*t[60])/12 - (1925*t[61])/8 + (1223*t[62])/12 - 
       38*t[63] - (1391*t[64])/48 + (2533*t[65])/72 + (3821*t[66])/24 - 
       (5*t[67])/2 + t[68]/2 - 26*t[69] + 2*t[70] - 2*t[71] - 14*t[72] - 
       6*t[74] + 12*t[75] + (38*t[76])/3 - (4*t[77])/3 - (169*t[78])/6 - 
       16*t[79] - 27*t[80] - (119*t[81])/12 + (113*t[82])/12 - 16*t[83] - 
       (745*t[84])/24 + (623*t[85])/12 - (68*t[86])/3 + (17*t[87])/2 - 
       (63*t[88])/4 + (2851*t[89])/48 + t[90] + 6*t[95] + 7*t[96] - 
       (41*t[97])/6 + 128*t[98] - 260*t[99] + 481*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-17*t[1])/2 + (83*t[2])/4 - (17*t[3])/8 - 91*t[4] + (1135*t[5])/16 + 
       (1147*t[6])/16 - (1445*t[7])/8 + (879*t[8])/8 - (4361*t[9])/16 + 
       (1583*t[10])/8 - (7355*t[11])/16 - (2147*t[12])/16 - 
       (32975*t[13])/144 - 102*t[14] + (30889*t[15])/288 - 8*t[18] - 
       5*t[20] - 13*t[21] + 33*t[22] + 13*t[23] - 8*t[24] - 8*t[25] + 
       (19*t[26])/2 + 24*t[27] - 4*t[28] - 20*t[29] + 10*t[30] - 2*t[31] - 
       3*t[32] + 3*t[33] - (51*t[34])/2 + 6*t[35] - 7*t[36] - t[38] + 
       4*t[39] + (11*t[40])/2 - (53*t[41])/4 + (27*t[42])/4 + (9*t[43])/4 - 
       (39*t[44])/2 + (163*t[45])/2 + (7*t[46])/2 - (319*t[47])/2 + 
       (627*t[48])/16 - (107*t[49])/4 - (181*t[50])/16 + (23*t[51])/4 + 
       (317*t[52])/16 + (75*t[53])/4 + (1193*t[54])/16 - (5*t[58])/2 - 
       (5*t[59])/2 - (2673*t[60])/8 - (4265*t[61])/8 + (7773*t[62])/16 + 
       (2179*t[63])/16 - (6535*t[64])/16 + (387*t[65])/8 + (22073*t[66])/24 + 
       16*t[70] - 16*t[71] - 2*t[72] - 46*t[73] + 18*t[74] + 56*t[75] - 
       74*t[76] - (9*t[77])/2 + (141*t[78])/2 + 6*t[79] - 258*t[80] - 
       (73*t[81])/2 + (201*t[82])/4 + 28*t[83] - (243*t[84])/8 - 
       (443*t[85])/8 - 124*t[86] + (1657*t[87])/8 + (1665*t[88])/16 + 
       (599*t[89])/16 - 12*t[96] - (23*t[97])/2 - 576*t[98] + 674*t[99] + 
       482*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      (3*t[2] + (653*t[3])/8 + (1489*t[4])/8 + (33*t[5])/4 + (2143*t[6])/16 + 
       (351*t[7])/8 + (167*t[8])/8 - (797*t[9])/4 + (605*t[10])/16 - 
       (321*t[11])/16 - (957*t[12])/16 + (3547*t[13])/48 - (17909*t[14])/96 - 
       (19*t[15])/24 + 2*t[16] - 3*t[17] - 6*t[18] + 2*t[19] + 64*t[20] - 
       5*t[21] - 23*t[22] + 5*t[23] - 13*t[24] + 9*t[25] + (77*t[26])/4 - 
       10*t[27] - t[28] - 14*t[29] + (29*t[30])/2 + 5*t[31] - (3*t[32])/2 + 
       (51*t[33])/2 - 20*t[34] + 45*t[35] - 4*t[36] - 9*t[37] + 8*t[38] - 
       (43*t[39])/2 - 6*t[40] - (3*t[41])/2 - (3*t[42])/2 + (89*t[43])/8 + 
       (49*t[44])/2 - (27*t[45])/4 - 9*t[46] - (29*t[47])/2 - (5*t[48])/16 - 
       (187*t[49])/16 + (499*t[50])/16 + (579*t[51])/32 - (83*t[52])/16 - 
       (437*t[53])/16 - (417*t[54])/16 - 2*t[56] + t[58]/4 - t[59] + 
       (1379*t[60])/4 - 64*t[61] + (267*t[62])/4 - (1447*t[63])/4 - 
       (1659*t[64])/4 + (205*t[65])/4 + (1607*t[66])/12 - t[67]/2 + 2*t[68] + 
       32*t[69] + 14*t[70] - 14*t[71] - 20*t[72] - 20*t[73] + 20*t[74] + 
       52*t[75] - (653*t[76])/4 + 2*t[77] + (339*t[78])/4 - 121*t[79] - 
       52*t[80] + 2*t[81] - 11*t[82] - 13*t[83] + (353*t[84])/4 + 
       (163*t[85])/4 - 4*t[86] - 45*t[87] + (43*t[88])/2 + (1485*t[89])/8 - 
       t[91]/3 - t[92]/2 + 2*t[93] + t[94]/2 - 8*t[95] - 18*t[96] - 5*t[97] - 
       576*t[98] + 674*t[99] + 482*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u]*((-111*t[1])/8 + (55*t[2])/8 + 
       31*t[3] + (25*t[4])/8 - (181*t[5])/16 + (97*t[6])/16 - (301*t[7])/8 + 
       (561*t[8])/8 - (881*t[9])/16 + (2175*t[10])/16 - (2607*t[11])/16 - 
       (121*t[12])/2 - (4093*t[13])/48 - (7901*t[14])/96 + (427*t[15])/96 - 
       6*t[18] - 6*t[21] - (11*t[22])/2 + (21*t[23])/2 - 6*t[24] - 6*t[25] + 
       (27*t[26])/4 + 3*t[27] - 35*t[28] + 12*t[29] - 9*t[30] - 6*t[31] + 
       (11*t[32])/2 - (3*t[33])/2 - (81*t[34])/4 + 12*t[35] - 15*t[36] + 
       (3*t[38])/2 - (19*t[39])/2 + 13*t[40] - (21*t[41])/8 - (21*t[42])/8 + 
       (29*t[43])/4 + 7*t[44] + 27*t[45] + 10*t[46] - (213*t[47])/4 + 
       (11*t[48])/16 - (101*t[49])/16 - (477*t[50])/16 - (203*t[51])/32 + 
       (369*t[52])/16 + (101*t[53])/16 + (835*t[54])/16 - (9*t[58])/4 - 
       (39*t[59])/8 - (197*t[60])/2 - (1183*t[61])/4 + (523*t[62])/4 - 
       (283*t[63])/4 - (857*t[64])/8 - 23*t[65] + (1169*t[66])/4 + 12*t[70] - 
       12*t[71] + 6*t[74] - 18*t[76] - (15*t[77])/2 - (3*t[78])/4 - 
       (135*t[80])/2 - (63*t[81])/4 + 28*t[82] - (15*t[84])/2 - 
       (15*t[85])/4 + (31*t[86])/2 + (243*t[87])/4 + (243*t[88])/8 + 
       (111*t[89])/4 - (15*t[97])/4 - 306*t[98] + 180*t[99] + 504*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w]*((-207*t[1])/8 + (533*t[2])/8 + 
       (305*t[3])/8 + (249*t[4])/8 - (2199*t[5])/16 - (313*t[6])/16 - 
       (45*t[7])/2 - (323*t[8])/2 + (1323*t[9])/16 - (1235*t[10])/16 - 
       (2879*t[11])/16 + (443*t[12])/8 - (15373*t[13])/72 - 
       (21035*t[14])/96 - (2037*t[15])/32 + (3*t[17])/2 - 18*t[18] - 
       14*t[19] - 3*t[20] - 14*t[21] + 3*t[22] + 14*t[23] - 21*t[24] + 
       3*t[25] + (33*t[26])/4 - 18*t[27] + 27*t[28] + 16*t[29] + 12*t[30] + 
       27*t[31] + 6*t[32] - 9*t[33] - (75*t[34])/4 + 3*t[35] + 9*t[36] + 
       (21*t[37])/2 - (33*t[38])/2 + (63*t[39])/4 - (57*t[40])/2 - 
       (17*t[41])/8 - (55*t[42])/8 + (123*t[43])/8 - 33*t[44] - 
       (53*t[45])/4 + 28*t[46] + (53*t[47])/2 - (509*t[48])/16 - 
       (1081*t[49])/16 + (523*t[50])/16 + (267*t[51])/32 + (113*t[52])/16 + 
       (661*t[53])/16 - (337*t[54])/16 + (15*t[58])/4 + (135*t[59])/8 + 
       (115*t[60])/4 - (1647*t[61])/4 - (17*t[62])/8 - (83*t[63])/8 + 
       (2271*t[64])/8 + (193*t[65])/12 + (610*t[66])/3 - (3*t[67])/2 - 
       6*t[68] + 24*t[70] - 24*t[71] - 33*t[72] + 50*t[73] + 9*t[74] - 
       141*t[75] - (81*t[76])/4 - (3*t[77])/2 - 45*t[78] - 21*t[79] - 
       (281*t[80])/2 + (69*t[81])/4 - (71*t[82])/4 + 70*t[83] + 
       (165*t[84])/4 + (229*t[85])/4 + 239*t[86] + (7*t[87])/2 + 
       (81*t[88])/4 + (193*t[89])/4 - (3*t[92])/2 + (3*t[94])/2 - 6*t[95] - 
       15*t[96] + (3*t[97])/4 - 306*t[98] + 180*t[99] + 504*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*((-11*t[1])/4 - 7*t[2] + 
       (275*t[3])/8 + (67*t[4])/4 + (631*t[5])/16 - (387*t[6])/16 - 
       (349*t[7])/8 - (31*t[8])/8 - (761*t[9])/16 + (7*t[10])/8 - 
       (1809*t[11])/16 - (139*t[12])/16 - (9701*t[13])/144 - 
       (1715*t[14])/16 - (3359*t[15])/288 - 3*t[16] - 4*t[25] - 
       (13*t[26])/2 - 7*t[27] - 10*t[28] + 5*t[29] + 5*t[30] + 14*t[31] - 
       t[34]/2 + 8*t[35] + 10*t[36] + 15*t[37] - (5*t[38])/2 - 15*t[39] - 
       (15*t[40])/2 + t[41]/4 - t[42]/4 - (5*t[43])/4 - (31*t[44])/2 - 
       (49*t[45])/4 - t[46] + (49*t[47])/2 + (9*t[48])/16 + (83*t[49])/4 + 
       (141*t[50])/16 - (127*t[51])/16 - (101*t[52])/16 - (19*t[53])/4 - 
       (349*t[54])/16 - t[58]/2 + (7*t[59])/4 - (1059*t[60])/8 - 
       (2413*t[61])/8 + (2413*t[62])/16 + (1107*t[63])/16 - (1089*t[64])/16 + 
       (2081*t[65])/24 + (2637*t[66])/8 + t[67]/2 + 4*t[68] + 10*t[69] - 
       6*t[70] + 6*t[71] - 24*t[72] - 8*t[73] - 21*t[74] + 12*t[75] - 
       5*t[76] + 8*t[77] + (5*t[78])/2 - 12*t[79] - 12*t[80] - 13*t[81] + 
       (41*t[82])/2 + 3*t[83] - (441*t[84])/8 + (125*t[85])/8 - 
       (73*t[86])/2 + (195*t[87])/8 + (51*t[88])/16 + (851*t[89])/16 + 
       t[91]/6 + 4*t[95] + 3*t[96] - t[97]/2 + 120*t[98] - 204*t[99] + 
       535*t[100]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((13*t[1])/4 - (35*t[2])/2 + (389*t[3])/8 - (217*t[4])/8 + 58*t[5] - 
       (805*t[6])/16 - (241*t[7])/8 + (139*t[8])/8 - 36*t[9] + 
       (437*t[10])/16 - (2025*t[11])/16 - (957*t[12])/16 - (2593*t[13])/48 - 
       (12643*t[14])/96 - (769*t[15])/36 + (5*t[16])/2 + 2*t[17] + 4*t[18] - 
       2*t[20] + 10*t[22] + 4*t[23] + 9*t[24] - 17*t[25] - t[26] + 5*t[27] + 
       2*t[28] + (7*t[29])/2 - 13*t[30] - 12*t[31] + 9*t[32] + (5*t[34])/2 + 
       11*t[36] + 8*t[37] + 4*t[38] - 2*t[39] - (11*t[40])/2 - (33*t[41])/4 + 
       (25*t[42])/4 - (75*t[43])/8 - (11*t[44])/4 + (57*t[45])/4 - 
       (3*t[46])/2 + 11*t[47] + (195*t[48])/16 + (181*t[49])/16 + 
       (175*t[50])/16 - (43*t[51])/32 - (183*t[52])/16 - (165*t[53])/16 - 
       (617*t[54])/16 - t[56] + 2*t[57] + t[58] - 9*t[59] - (343*t[60])/2 - 
       319*t[61] + (51*t[62])/4 - (627*t[63])/4 + (123*t[64])/2 + 
       (2119*t[65])/12 + (2303*t[66])/12 - (7*t[67])/2 - 8*t[68] + 10*t[69] - 
       10*t[70] + 10*t[71] + 14*t[72] - 31*t[74] - 16*t[75] + 20*t[76] + 
       6*t[77] - 31*t[78] + 8*t[79] + 6*t[80] - (51*t[81])/2 + (75*t[82])/2 + 
       45*t[83] - (135*t[84])/4 + (21*t[85])/2 + 67*t[86] + (183*t[87])/2 + 
       (183*t[88])/4 + (301*t[89])/4 - 2*t[92] + 2*t[93] + 4*t[94] + t[97] + 
       120*t[98] - 204*t[99] + 535*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*((-25*t[1])/2 + (63*t[2])/2 - (33*t[3])/4 - 
       165*t[4] - (1971*t[5])/8 - (2409*t[6])/16 - (327*t[7])/4 - 
       (303*t[8])/4 + (615*t[9])/2 + 450*t[10] - (3927*t[11])/16 + 
       (2253*t[12])/8 - (5453*t[13])/24 + (795*t[14])/16 - (655*t[15])/8 + 
       6*t[19] - (57*t[21])/2 + 18*t[22] + (57*t[23])/2 - 30*t[25] + 
       24*t[26] + 36*t[35] - 6*t[37] + 6*t[38] - (9*t[40])/2 + (75*t[41])/4 - 
       (75*t[42])/4 - (363*t[43])/4 + 6*t[44] + 72*t[45] + (27*t[46])/2 - 
       54*t[47] - (243*t[48])/16 - 48*t[49] + (465*t[50])/16 + 
       (237*t[51])/8 - (177*t[52])/16 + 48*t[53] + (423*t[54])/16 - 
       (41*t[59])/2 - (1419*t[60])/8 + (33*t[61])/8 + (3309*t[62])/16 + 
       (6087*t[63])/16 - (17811*t[64])/16 + (11*t[65])/8 + (5153*t[66])/8 + 
       (57*t[69])/2 - 33*t[73] + 36*t[74] + 21*t[75] + (15*t[77])/2 - 
       60*t[79] - 309*t[80] - (57*t[81])/2 + (57*t[82])/2 + (525*t[83])/4 - 
       (183*t[84])/8 - (195*t[85])/8 - 411*t[86] + (705*t[87])/8 + 
       (705*t[88])/16 - (3441*t[89])/16 - 288*t[98] + 288*t[99] + 
       (1155*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      (21*t[1] + (345*t[2])/4 + (897*t[3])/8 - (1389*t[4])/8 - 
       (2259*t[5])/16 - (927*t[6])/16 + (639*t[7])/8 - (1827*t[8])/8 + 
       (1821*t[9])/16 - (5877*t[10])/16 - (6249*t[11])/16 - (477*t[12])/4 - 
       (3373*t[13])/16 - (4131*t[14])/32 - (3743*t[15])/32 - 3*t[19] - 
       75*t[26] + 96*t[31] + 24*t[34] + 96*t[35] + 6*t[36] + (135*t[37])/4 + 
       63*t[38] - 12*t[39] - 12*t[41] + 12*t[42] - 30*t[43] - (111*t[46])/2 - 
       (2175*t[48])/16 - (333*t[49])/16 + (1653*t[50])/16 + (3921*t[51])/32 - 
       (1269*t[52])/16 - (411*t[53])/16 + (1605*t[54])/16 - (131*t[59])/2 - 
       (465*t[60])/4 - (1197*t[61])/4 - (153*t[62])/4 + 540*t[63] - 
       (5109*t[64])/8 + (69*t[65])/4 + 61*t[66] - 3*t[67] + 87*t[74] - 
       96*t[75] - 24*t[76] - 12*t[77] + 78*t[78] - (231*t[79])/2 - 33*t[81] + 
       30*t[82] + (585*t[83])/2 - (69*t[84])/4 + (249*t[85])/2 + 
       (21*t[86])/2 - 132*t[87] - (255*t[88])/4 - (1719*t[89])/8 + 12*t[95] - 
       36*t[96] - 24*t[97] - 288*t[98] + 288*t[99] + (1155*t[100])/2) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-71*t[1])/6 + (151*t[2])/12 + (6095*t[3])/48 - (5551*t[4])/24 + 
       (3003*t[5])/32 - (10283*t[6])/48 + (2041*t[7])/16 - (9655*t[8])/48 - 
       (5893*t[9])/96 + (1157*t[10])/24 - (5519*t[11])/48 + (8105*t[12])/96 - 
       (41909*t[13])/864 - (32687*t[14])/144 + (18619*t[15])/576 + 
       (4*t[16])/3 - (7*t[17])/3 + (10*t[18])/3 + (8*t[19])/3 - 10*t[20] + 
       (13*t[21])/3 - (16*t[22])/3 - (13*t[23])/3 - (11*t[24])/3 - 7*t[25] - 
       (19*t[26])/2 + (104*t[27])/3 - (68*t[28])/3 - (16*t[29])/3 + 
       (34*t[30])/3 - 11*t[31] + (59*t[32])/3 - 26*t[33] + (473*t[34])/6 - 
       37*t[35] - 27*t[36] - (4*t[37])/3 - (8*t[38])/3 + (5*t[39])/3 - 
       (125*t[40])/6 - (67*t[41])/12 + (29*t[42])/4 - (257*t[43])/12 + 
       34*t[44] - (176*t[45])/3 + (173*t[46])/6 + 43*t[47] - 
       (3817*t[48])/24 - (2677*t[49])/48 + (1231*t[50])/24 + 
       (1061*t[51])/96 - (1043*t[52])/24 + (1765*t[53])/48 - (253*t[54])/3 + 
       (2*t[56])/3 + (8*t[57])/3 - (23*t[58])/2 - (157*t[59])/12 - 
       (5899*t[60])/24 - (14435*t[61])/24 - (11669*t[62])/48 - 
       (1217*t[63])/16 + (637*t[64])/16 + (3968*t[65])/9 + (5692*t[66])/9 - 
       (7*t[67])/3 + (5*t[68])/3 - 2*t[69] - (4*t[70])/3 + t[71] + 53*t[72] - 
       112*t[73] - 55*t[74] + 98*t[75] + (353*t[76])/6 + (91*t[77])/6 - 
       (289*t[78])/6 + 13*t[79] + (145*t[80])/6 - 10*t[81] + (491*t[82])/4 + 
       173*t[83] - (643*t[84])/8 + (1301*t[85])/8 + (1859*t[86])/6 + 
       (655*t[87])/24 + (637*t[88])/16 - (601*t[89])/48 + t[91]/3 - 
       (7*t[92])/3 - 2*t[93] + (7*t[94])/3 - (16*t[95])/3 - (56*t[96])/3 + 
       (46*t[97])/3 + 450*t[98] - 734*t[99] + 771*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((47*t[1])/12 - (197*t[2])/3 + (1807*t[3])/24 + (689*t[4])/48 + 
       (5591*t[5])/48 - (5041*t[6])/24 - (3919*t[7])/24 - (9299*t[8])/24 - 
       (11623*t[9])/48 + (33217*t[10])/96 - (556*t[11])/3 - (5005*t[12])/96 - 
       (20479*t[13])/216 - (126857*t[14])/576 + (1967*t[15])/48 - 
       (10*t[16])/3 - 7*t[18] + 2*t[19] - 7*t[20] - (22*t[21])/3 + 
       (2*t[22])/3 + (22*t[23])/3 - (16*t[24])/3 - (58*t[25])/3 - t[26]/2 + 
       13*t[27] - (35*t[28])/3 - t[29]/3 + (37*t[30])/3 + (41*t[31])/3 - 
       13*t[32] + 13*t[33] - (179*t[34])/6 - 44*t[35] - (41*t[36])/3 + 
       (49*t[37])/3 + (61*t[38])/3 - 28*t[39] + (86*t[40])/3 + (23*t[41])/4 - 
       (27*t[42])/4 - (7*t[43])/6 + 33*t[44] + (271*t[45])/6 + 
       (331*t[46])/12 - 109*t[47] - (1489*t[48])/12 + (9335*t[49])/96 - 
       (527*t[50])/12 - (1249*t[51])/64 - (131*t[52])/12 - (3415*t[53])/96 - 
       (1321*t[54])/48 - (34*t[58])/3 + (21*t[59])/2 - (6457*t[60])/48 - 
       (26249*t[61])/48 + (12487*t[62])/96 + (5081*t[63])/96 - 
       (7685*t[64])/96 - (18257*t[65])/48 + (47651*t[66])/144 - 
       (55*t[68])/3 + 7*t[69] + (7*t[70])/3 - (8*t[71])/3 + 35*t[72] - 
       96*t[73] + (4*t[74])/3 + 96*t[75] + (320*t[76])/3 + 15*t[77] - 
       (556*t[78])/3 - 10*t[79] - 104*t[80] - (8*t[81])/3 - 31*t[82] + 
       19*t[83] - (9647*t[84])/48 - (1171*t[85])/48 - (583*t[86])/3 - 
       (6587*t[87])/48 - (9307*t[88])/96 - (1069*t[89])/32 + 30*t[95] + 
       (154*t[96])/3 + (211*t[97])/6 + 450*t[98] - 734*t[99] + 771*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*(-4*t[1] + (57*t[2])/2 + 
       (991*t[3])/8 - (253*t[4])/4 + (79*t[5])/8 + (13*t[6])/2 - 
       (69*t[7])/4 - (299*t[8])/4 + (161*t[9])/8 + (777*t[10])/8 - 
       (261*t[11])/2 + (53*t[12])/4 - (775*t[13])/24 - (265*t[14])/2 - 
       (4729*t[15])/72 + t[17]/2 + 14*t[18] - 12*t[19] + 80*t[20] - 4*t[21] - 
       46*t[22] + 3*t[23] - 6*t[24] + 8*t[27] + 6*t[28] + (25*t[29])/2 - 
       7*t[30] - 12*t[31] - (7*t[32])/2 + 31*t[33] + 8*t[34] - 8*t[35] + 
       14*t[36] + (9*t[37])/2 - 6*t[38] - 29*t[39] - 14*t[40] - 
       (15*t[41])/2 + (15*t[42])/2 + (25*t[43])/4 + (65*t[44])/4 - 25*t[45] - 
       4*t[46] + 31*t[47] - (111*t[48])/4 - (163*t[49])/8 + (81*t[50])/4 + 
       13*t[51] + (39*t[52])/4 + (99*t[53])/8 + (31*t[54])/2 + (3*t[55])/2 - 
       4*t[56] - 4*t[57] - (27*t[59])/2 - (13*t[60])/2 - 407*t[61] + 
       (441*t[62])/4 + (159*t[63])/4 - (289*t[64])/4 + (59*t[65])/2 + 
       (1609*t[66])/6 - 3*t[67] - t[68] - 26*t[69] + 16*t[70] - 16*t[71] - 
       7*t[72] - 12*t[73] - 13*t[74] + 26*t[75] - 10*t[76] - 12*t[77] + 
       5*t[78] - 74*t[79] - 46*t[80] - 26*t[81] + 35*t[82] - 35*t[83] - 
       31*t[84] + (133*t[85])/2 - 19*t[86] - 40*t[87] - 7*t[88] + 
       (647*t[89])/8 + 6*t[93] - 2*t[95] - 12*t[96] - 5*t[97] - 108*t[98] - 
       32*t[99] + 1013*t[100]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*(6*t[1] - 30*t[2] + (359*t[3])/8 - 
       (223*t[4])/2 - (133*t[5])/4 - (1111*t[6])/8 + (67*t[7])/4 - 120*t[8] - 
       (67*t[9])/4 + (677*t[10])/4 - (391*t[11])/2 + (21*t[12])/2 - 
       (26011*t[13])/144 - (497*t[14])/2 - (3353*t[15])/144 - (5*t[17])/2 - 
       4*t[19] - 26*t[20] - 20*t[21] + 33*t[22] + 22*t[23] - 12*t[24] + 
       24*t[27] - 20*t[28] + (19*t[29])/2 - 12*t[31] + (17*t[32])/2 - 
       11*t[33] - 7*t[34] + 22*t[35] - 14*t[36] + 9*t[37] + 6*t[38] - 
       30*t[39] + (35*t[40])/2 - 8*t[41] + 7*t[42] - 10*t[43] - 
       (127*t[44])/4 + (47*t[45])/4 + 9*t[46] + (69*t[47])/2 - 66*t[48] + 
       9*t[49] + 5*t[50] - (29*t[51])/2 - 26*t[52] - t[53] - (65*t[54])/4 + 
       2*t[55] + (3*t[56])/2 + 6*t[57] - (9*t[59])/2 - (2175*t[60])/4 - 
       (2255*t[61])/4 - (3*t[62])/8 + (571*t[63])/8 + 258*t[64] + 
       (323*t[65])/3 + (1049*t[66])/2 + 5*t[68] + 2*t[70] - 2*t[71] - 
       33*t[72] - 36*t[73] + 3*t[74] + 32*t[75] - 9*t[76] - 11*t[77] - 
       56*t[78] + 36*t[79] - 119*t[80] - 52*t[81] + 76*t[82] + 103*t[83] - 
       155*t[84] - 22*t[85] + (403*t[86])/2 + (417*t[87])/2 + (469*t[88])/4 + 
       (99*t[89])/4 - 2*t[95] + 10*t[96] + 7*t[97] - 108*t[98] - 32*t[99] + 
       1013*t[100]) + HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w]*
      ((73*t[1])/4 + (153*t[2])/4 + 255*t[3] + 198*t[4] - (1825*t[5])/8 + 
       (137*t[6])/2 - (951*t[7])/4 + (465*t[8])/4 - (2703*t[9])/8 - 
       233*t[10] - (505*t[11])/4 + (1217*t[12])/8 - (841*t[13])/8 - 
       (16693*t[14])/24 - (26027*t[15])/144 + 2*t[16] + t[17] - 12*t[18] + 
       (130*t[19])/3 + 64*t[20] + 46*t[21] - 50*t[22] - 46*t[23] - 22*t[24] - 
       6*t[25] + 23*t[26] + 4*t[27] + 70*t[28] - 15*t[29] + 162*t[30] - 
       24*t[31] + 36*t[32] + 34*t[33] - (71*t[34])/2 + 8*t[35] - 24*t[36] - 
       38*t[37] + 19*t[38] + (9*t[39])/2 - 11*t[40] + (167*t[41])/4 - 
       (191*t[42])/4 - (5*t[43])/2 + (147*t[44])/2 - 83*t[45] + 34*t[46] + 
       188*t[47] + (175*t[48])/2 - (603*t[49])/4 + 26*t[50] + 86*t[51] - 
       (53*t[52])/2 + (503*t[53])/4 - 87*t[54] - 4*t[56] - 4*t[57] + 
       20*t[58] + t[59]/4 - (425*t[60])/4 - (3103*t[61])/4 + (1937*t[62])/8 - 
       (3945*t[63])/8 + (3577*t[64])/8 + (7031*t[65])/12 + (5939*t[66])/12 - 
       t[67] + 4*t[68] + 20*t[70] - 20*t[71] + 20*t[72] + 12*t[73] + 
       8*t[74] - 40*t[75] - 142*t[76] + 5*t[77] - (91*t[78])/2 - 14*t[79] + 
       31*t[80] + (173*t[81])/2 + (39*t[82])/2 - 52*t[83] + (195*t[84])/4 - 
       (139*t[85])/4 + 52*t[86] + (1715*t[87])/4 + (1907*t[88])/8 + 
       (1947*t[89])/8 - t[91]/3 - t[92] + 4*t[93] + t[94] - 8*t[95] - 
       22*t[96] - (21*t[97])/2 - 684*t[98] + 504*t[99] + 1136*t[100]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u]*((-173*t[1])/4 + (65*t[2])/4 - 
       (59*t[3])/2 - (183*t[4])/4 + (1469*t[5])/8 + (1019*t[6])/8 - 
       (1035*t[7])/4 + (1607*t[8])/4 - (2967*t[9])/8 + (2531*t[10])/8 - 
       (3083*t[11])/8 - (697*t[12])/4 - (1903*t[13])/12 - (335*t[14])/16 + 
       (13843*t[15])/144 - 8*t[18] - 8*t[21] - 9*t[22] + 15*t[23] - 8*t[24] - 
       8*t[25] + (19*t[26])/2 - 12*t[27] - 42*t[28] - 24*t[29] + 46*t[30] + 
       2*t[31] + 3*t[32] + 5*t[33] - (61*t[34])/2 + 14*t[36] + 3*t[38] - 
       23*t[39] + 7*t[40] + (15*t[41])/4 - (45*t[42])/4 + (57*t[43])/2 - 
       54*t[44] + (165*t[45])/2 - 3*t[46] - (341*t[47])/2 + (483*t[48])/8 + 
       (155*t[49])/8 - (821*t[50])/8 - (519*t[51])/16 + (745*t[52])/8 - 
       (155*t[53])/8 + (187*t[54])/8 - (5*t[58])/2 - (103*t[59])/4 - 
       128*t[60] - 742*t[61] + (1345*t[62])/4 - (1117*t[63])/4 - 
       (869*t[64])/4 - (203*t[65])/6 + 719*t[66] + 16*t[70] - 16*t[71] + 
       8*t[74] - 29*t[76] - 54*t[77] + (3*t[78])/2 - 185*t[80] - 
       (47*t[81])/2 + (77*t[82])/2 - 6*t[84] - (19*t[85])/2 + 186*t[86] + 
       (183*t[87])/2 + (183*t[88])/4 + (369*t[89])/4 - (13*t[97])/2 - 
       684*t[98] + 504*t[99] + 1136*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*((-97*t[1])/4 + (261*t[2])/8 + 
       (271*t[3])/8 - (2475*t[4])/8 + (4541*t[5])/16 + (2573*t[6])/16 - 
       (8787*t[7])/16 + (4027*t[8])/16 - (7147*t[9])/8 + (2227*t[10])/4 - 
       (5557*t[11])/4 - (3341*t[12])/8 - (21971*t[13])/32 - 
       (12047*t[14])/32 + (3649*t[15])/12 - 12*t[18] - 15*t[20] - 21*t[21] + 
       (213*t[22])/2 + (45*t[23])/2 - 6*t[24] - 18*t[25] + (39*t[26])/2 + 
       66*t[27] - 25*t[28] - 48*t[29] + 15*t[30] - 6*t[31] - 15*t[32] + 
       15*t[33] - 72*t[34] + 18*t[35] - 26*t[36] + (3*t[38])/2 - 3*t[39] + 
       (147*t[40])/4 - (163*t[41])/4 + (45*t[42])/2 - (405*t[43])/16 - 
       (125*t[44])/2 + (1995*t[45])/8 + (29*t[46])/4 - 477*t[47] + 
       (951*t[48])/8 - (1085*t[49])/16 - (313*t[50])/8 + (651*t[51])/32 + 
       (301*t[52])/8 + (701*t[53])/16 + (901*t[54])/4 - (15*t[58])/2 - 
       (97*t[59])/8 - (2103*t[60])/2 - 1623*t[61] + (22365*t[62])/16 + 
       (8667*t[63])/16 - (8355*t[64])/8 + (5971*t[65])/24 + (11205*t[66])/4 + 
       27*t[70] - 27*t[71] - 162*t[73] + 39*t[74] + 168*t[75] - 
       (909*t[76])/4 - 43*t[77] + (843*t[78])/4 + 18*t[79] - 816*t[80] - 
       114*t[81] + (801*t[82])/4 + 150*t[83] - (879*t[84])/8 - 
       (1521*t[85])/8 - (765*t[86])/2 + (5223*t[87])/8 + (5247*t[88])/16 + 
       (711*t[89])/8 - 36*t[96] - (129*t[97])/4 - 1782*t[98] + 1968*t[99] + 
       1680*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-3*t[1])/2 + (85*t[2])/4 + (2095*t[3])/8 + (3707*t[4])/8 + 
       (307*t[5])/16 + (5237*t[6])/16 + (1025*t[7])/8 - (287*t[8])/8 - 
       (8585*t[9])/16 + (1019*t[10])/8 - (1517*t[11])/16 - (2787*t[12])/16 + 
       (9397*t[13])/48 - (59569*t[14])/96 - (89*t[15])/96 + 6*t[16] - 
       9*t[17] - 18*t[18] + 2*t[19] + 189*t[20] - 11*t[21] - 66*t[22] + 
       11*t[23] - 42*t[24] + 9*t[25] + 69*t[26] - 33*t[27] - 6*t[28] - 
       30*t[29] + (63*t[30])/2 + 39*t[31] - (9*t[32])/2 + (147*t[33])/2 - 
       (111*t[34])/2 + 141*t[35] - (9*t[36])/2 - 20*t[37] + (105*t[38])/4 - 
       (285*t[39])/4 - 3*t[40] - (19*t[41])/4 - (17*t[42])/4 + 
       (315*t[43])/8 + (123*t[44])/2 - (69*t[45])/4 - (3*t[46])/2 - 
       (83*t[47])/2 - (353*t[48])/16 - (381*t[49])/8 + (1791*t[50])/16 + 
       (1455*t[51])/32 - (567*t[52])/16 - (423*t[53])/8 - (789*t[54])/16 - 
       6*t[56] - (3*t[58])/2 - (23*t[59])/4 + (1865*t[60])/2 - 
       (2591*t[61])/8 + (5085*t[62])/16 - (14573*t[63])/16 - 
       (17527*t[64])/16 + (1069*t[65])/6 + (1432*t[66])/3 - (3*t[67])/2 + 
       6*t[68] + 96*t[69] + 39*t[70] - 39*t[71] - 57*t[72] - 60*t[73] + 
       (105*t[74])/2 + 140*t[75] - 483*t[76] - (21*t[77])/2 + (519*t[78])/2 - 
       400*t[79] - 150*t[80] + (95*t[81])/4 - (41*t[82])/4 - 6*t[83] + 
       (1009*t[84])/4 + (1099*t[85])/8 - 31*t[86] - (1129*t[87])/8 + 
       (599*t[88])/16 + (4381*t[89])/8 - t[91] - (3*t[92])/2 + 6*t[93] + 
       (3*t[94])/2 - 9*t[95] - 51*t[96] - 21*t[97] - 1782*t[98] + 
       1968*t[99] + 1680*t[100]) + HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w]*
      ((9*t[1])/8 + (569*t[2])/8 + (771*t[3])/2 + (1227*t[4])/8 - 
       (5101*t[5])/16 + 89*t[6] - (761*t[7])/2 + (261*t[8])/4 - 
       (8217*t[9])/16 - (3691*t[10])/16 - (1651*t[11])/4 + (1041*t[12])/4 - 
       (3830*t[13])/9 - (117883*t[14])/96 - (25553*t[15])/96 + 3*t[16] + 
       3*t[17] - 36*t[18] + 43*t[19] + 75*t[20] + 19*t[21] - 60*t[22] - 
       19*t[23] - 66*t[24] - 18*t[25] + (249*t[26])/4 - 12*t[27] + 84*t[28] - 
       (7*t[29])/2 + 201*t[30] - 27*t[31] + 30*t[32] + 60*t[33] - 
       (363*t[34])/4 + 15*t[35] - 9*t[36] - (45*t[37])/2 + 6*t[38] - 
       (63*t[39])/4 - (27*t[40])/2 + (319*t[41])/8 - (463*t[42])/8 + 
       (99*t[43])/8 + (207*t[44])/4 - (419*t[45])/4 + (151*t[46])/2 + 
       (533*t[47])/2 + (953*t[48])/8 - (4001*t[49])/16 + (595*t[50])/8 + 
       (3345*t[51])/32 - (229*t[52])/8 + (3725*t[53])/16 - (355*t[54])/2 - 
       6*t[56] + 6*t[57] + (135*t[58])/4 + (189*t[59])/8 - (1043*t[60])/4 - 
       (6061*t[61])/4 + (2017*t[62])/8 - (4229*t[63])/8 + (3753*t[64])/4 + 
       (3355*t[65])/4 + (1737*t[66])/2 - 3*t[67] + 6*t[68] + 42*t[70] - 
       42*t[71] - 9*t[72] + 34*t[73] + 15*t[74] - 147*t[75] - 
       (1227*t[76])/4 - (81*t[77])/2 + (69*t[78])/2 + 6*t[79] - 
       (401*t[80])/2 + (453*t[81])/4 + (161*t[82])/4 + 62*t[83] + 82*t[84] - 
       (69*t[85])/2 + 366*t[86] + (2727*t[87])/4 + (2847*t[88])/8 + 
       290*t[89] - t[91]/2 - 3*t[92] + 6*t[93] + 3*t[94] - 6*t[95] - 
       21*t[96] - (45*t[97])/4 - 1206*t[98] + 882*t[99] + 1857*t[100]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u]*((-489*t[1])/8 - (39*t[2])/8 - 
       (527*t[3])/8 + (519*t[4])/8 + (787*t[5])/8 + (3007*t[6])/16 - 
       (1953*t[7])/8 + (3975*t[8])/8 - (1979*t[9])/8 + (3085*t[10])/16 - 
       (6363*t[11])/16 - (2577*t[12])/16 - (7109*t[13])/48 - 
       (5989*t[14])/96 + (1117*t[15])/16 - 6*t[18] - 6*t[21] - (25*t[22])/2 + 
       (27*t[23])/2 - 6*t[24] - 6*t[25] + (33*t[26])/4 - 9*t[27] - 
       106*t[28] - 18*t[29] + 42*t[30] - 9*t[31] + (25*t[32])/2 + 
       (3*t[33])/2 - (123*t[34])/4 + 24*t[35] - 18*t[36] + (9*t[38])/2 - 
       (71*t[39])/2 + 18*t[40] + (81*t[41])/8 - (135*t[42])/8 - 
       (15*t[43])/8 - 41*t[44] + (81*t[45])/2 - (17*t[46])/2 - 
       (327*t[47])/4 + (725*t[48])/16 + (417*t[49])/16 - (1307*t[50])/16 - 
       (685*t[51])/32 + (1175*t[52])/16 - (417*t[53])/16 + (413*t[54])/16 - 
       (3*t[58])/4 - (357*t[59])/8 - 82*t[60] - (2005*t[61])/2 + 
       (3163*t[62])/8 - (4455*t[63])/8 - (661*t[64])/4 + (133*t[65])/12 + 
       973*t[66] + 12*t[70] - 12*t[71] + 6*t[74] - 33*t[76] - 98*t[77] + 
       (27*t[78])/4 - (525*t[80])/2 - (93*t[81])/4 + (79*t[82])/2 + 
       (9*t[84])/2 - (69*t[85])/4 + 469*t[86] + (369*t[87])/4 + 
       (369*t[88])/8 + 158*t[89] - (33*t[97])/4 - 1206*t[98] + 882*t[99] + 
       1857*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-75*t[1])/2 + (93*t[2])/2 + (1285*t[3])/4 - (16421*t[4])/24 + 
       (999*t[5])/4 - (1834*t[6])/3 + (3577*t[7])/8 - (3959*t[8])/8 - 
       (819*t[9])/8 + (9611*t[10])/48 - (3667*t[11])/12 + (12661*t[12])/48 - 
       (7331*t[13])/72 - (54575*t[14])/96 + (4577*t[15])/36 + 4*t[16] - 
       7*t[17] + 10*t[18] - (2*t[19])/3 - 33*t[20] + 17*t[21] - 13*t[22] - 
       17*t[23] - 14*t[24] - 21*t[25] - (57*t[26])/2 + 111*t[27] - 55*t[28] - 
       16*t[29] + 29*t[30] - 33*t[31] + 55*t[32] - 77*t[33] + 237*t[34] - 
       111*t[35] - 81*t[36] - t[37] - 9*t[38] + 9*t[39] - (139*t[40])/2 - 
       15*t[41] + 20*t[42] - (443*t[43])/8 + 94*t[44] - (673*t[45])/4 + 
       84*t[46] + (235*t[47])/2 - 474*t[48] - (7769*t[49])/48 + 128*t[50] + 
       (3221*t[51])/96 - 107*t[52] + (5081*t[53])/48 - (5425*t[54])/24 + 
       2*t[56] + 8*t[57] - (69*t[58])/2 - (155*t[59])/4 - (14885*t[60])/24 - 
       (12803*t[61])/8 - (40037*t[62])/48 - (14539*t[63])/48 + 
       (2431*t[64])/48 + (32357*t[65])/24 + (40067*t[66])/24 - 7*t[67] + 
       5*t[68] - 6*t[69] - 4*t[70] + 3*t[71] + 156*t[72] - 312*t[73] - 
       165*t[74] + 278*t[75] + (415*t[76])/2 + 62*t[77] - 160*t[78] + 
       50*t[79] + 66*t[80] - 17*t[81] + (677*t[82])/2 + 474*t[83] - 
       (5045*t[84])/24 + (12565*t[85])/24 + 984*t[86] - (283*t[87])/24 + 
       (3469*t[88])/48 + (167*t[89])/16 + t[91] - 7*t[92] - 6*t[93] + 
       7*t[94] - 16*t[95] - 56*t[96] + (93*t[97])/2 + 1536*t[98] - 
       2244*t[99] + 1911*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*(16*t[1] - (401*t[2])/2 + (5503*t[3])/24 + 
       (379*t[4])/4 + (4985*t[5])/16 - (14669*t[6])/24 - (11023*t[7])/24 - 
       (8997*t[8])/8 - (32563*t[9])/48 + (3897*t[10])/4 - (11455*t[11])/24 - 
       (2507*t[12])/16 - (35707*t[13])/144 - (90995*t[14])/144 + 
       (27517*t[15])/288 - 10*t[16] - 21*t[18] + 6*t[19] - 21*t[20] - 
       22*t[21] + 2*t[22] + 22*t[23] - 16*t[24] - 62*t[25] - (5*t[26])/2 + 
       43*t[27] - 38*t[28] + 7*t[29] + 35*t[30] + 37*t[31] - 36*t[32] + 
       36*t[33] - 89*t[34] - 138*t[35] - 49*t[36] + 49*t[37] + 
       (131*t[38])/2 - 76*t[39] + (230*t[40])/3 + 17*t[41] - 20*t[42] + 
       (53*t[43])/12 + 102*t[44] + (287*t[45])/2 + (167*t[46])/2 - 
       340*t[47] - (1471*t[48])/4 + (2323*t[49])/8 - (637*t[50])/4 - 
       (425*t[51])/8 - (31*t[52])/4 - (831*t[53])/8 - 63*t[54] - 
       (69*t[58])/2 + 30*t[59] - (812*t[60])/3 - (4562*t[61])/3 + 252*t[62] + 
       (89*t[63])/3 - (562*t[64])/3 - (7331*t[65])/6 + (8833*t[66])/12 - 
       55*t[68] + 21*t[69] + 7*t[70] - 8*t[71] + 99*t[72] - 264*t[73] + 
       t[74] + 270*t[75] + (713*t[76])/2 + 66*t[77] - 594*t[78] - 6*t[79] - 
       305*t[80] + (25*t[81])/2 - (265*t[82])/2 + 15*t[83] - (2353*t[84])/4 - 
       (149*t[85])/4 - 476*t[86] - (2039*t[87])/4 - (2719*t[88])/8 - 
       (767*t[89])/8 + 90*t[95] + 154*t[96] + 106*t[97] + 1536*t[98] - 
       2244*t[99] + 1911*t[100]) + HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u]*
      ((-81*t[1])/2 - (179*t[2])/2 + (79*t[3])/2 + (1053*t[4])/2 - 
       (1423*t[5])/2 - (9*t[6])/4 + (939*t[7])/2 - (517*t[8])/2 + 
       (2111*t[9])/2 - (2485*t[10])/4 + (383*t[11])/4 + (629*t[12])/4 + 
       (146*t[13])/3 - (11659*t[14])/24 - (3313*t[15])/12 - 18*t[22] + 
       6*t[23] + 3*t[26] + 48*t[27] - 312*t[28] + 120*t[29] - 144*t[30] - 
       72*t[31] + 54*t[32] - 30*t[33] - 21*t[34] + 144*t[35] - 216*t[36] + 
       6*t[38] - 42*t[39] + 70*t[40] + (15*t[41])/2 - (21*t[42])/2 - 
       (299*t[43])/2 + 204*t[44] - 225*t[45] + 12*t[46] + 483*t[47] - 
       (777*t[48])/4 - (141*t[49])/4 + (807*t[50])/4 + (765*t[51])/8 - 
       (819*t[52])/4 + (141*t[53])/4 + (495*t[54])/4 + 3*t[58] - 
       (87*t[59])/2 + 46*t[60] - 741*t[61] + 87*t[62] - 835*t[63] + 
       214*t[64] + (466*t[65])/3 + 747*t[66] - 30*t[76] - 98*t[77] + 
       15*t[78] - 210*t[80] - 15*t[81] + 39*t[82] + 24*t[84] - 27*t[85] + 
       822*t[86] + 63*t[87] + (63*t[88])/2 + (379*t[89])/2 - 9*t[97] - 
       1944*t[98] + 1224*t[99] + 2628*t[100]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w]*((-417*t[1])/2 + (627*t[2])/2 + 
       (333*t[3])/2 - 466*t[4] - (1689*t[5])/4 - (557*t[6])/4 - 
       (375*t[7])/2 - (2241*t[8])/2 + (1071*t[9])/4 + (289*t[10])/2 - 
       (6397*t[11])/4 + (1319*t[12])/4 - (7715*t[13])/4 - (4909*t[14])/3 - 
       (5197*t[15])/24 + 12*t[17] - 144*t[18] - 140*t[19] - 96*t[20] - 
       264*t[21] + 72*t[22] + 264*t[23] - 216*t[24] - 24*t[25] + 144*t[26] - 
       144*t[27] + 24*t[28] + 140*t[29] - 120*t[30] + 144*t[31] - 72*t[32] - 
       225*t[34] + 24*t[35] + 144*t[36] + 180*t[37] - 156*t[38] - 27*t[39] - 
       102*t[40] - (207*t[41])/2 + (63*t[42])/2 + 126*t[43] - 366*t[44] + 
       42*t[45] + 210*t[46] + 12*t[47] - (711*t[48])/4 - 362*t[49] + 
       (1161*t[50])/4 - (133*t[51])/2 + (219*t[52])/4 + 338*t[53] - 
       (1193*t[54])/4 + 48*t[57] + 30*t[58] + (321*t[59])/2 - (581*t[60])/2 - 
       (6227*t[61])/2 - (1675*t[62])/4 + (3331*t[63])/4 + (8407*t[64])/4 - 
       (167*t[65])/2 + (8495*t[66])/6 - 12*t[67] - 24*t[68] + 144*t[70] - 
       144*t[71] - 288*t[72] + 264*t[73] + 48*t[74] - 912*t[75] - 456*t[76] - 
       198*t[77] + 231*t[78] + 24*t[79] - 1614*t[80] - 9*t[81] - 15*t[82] + 
       840*t[83] + (397*t[84])/2 + (583*t[85])/2 + 2076*t[86] + 
       (329*t[87])/2 + (289*t[88])/4 - (429*t[89])/4 - 12*t[92] + 12*t[94] - 
       12*t[96] + 21*t[97] - 1944*t[98] + 1224*t[99] + 2628*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*(-19*t[1] - (95*t[2])/4 - 
       (139*t[3])/2 - (295*t[4])/4 - (129*t[5])/4 + 37*t[6] + (979*t[7])/4 + 
       148*t[8] + (979*t[9])/4 - (941*t[10])/8 + (423*t[11])/2 + 
       (543*t[12])/8 + (5243*t[13])/24 + (9131*t[14])/48 - (81*t[15])/4 + 
       (9*t[17])/2 + 8*t[18] + 20*t[21] - 20*t[23] - 2*t[24] + 8*t[32] - 
       8*t[33] + 24*t[34] + 4*t[38] + 8*t[39] - 8*t[40] + 21*t[41] - 
       7*t[42] - (131*t[43])/4 - (65*t[45])/2 - (29*t[46])/2 + 99*t[47] - 
       (97*t[48])/4 + (125*t[49])/8 + (39*t[50])/4 + (113*t[51])/16 - 
       (135*t[52])/4 - (93*t[53])/8 + 8*t[54] - 22*t[59] + (459*t[60])/2 + 
       (1389*t[61])/2 - (1081*t[62])/2 - 115*t[63] + (305*t[64])/4 + 
       (527*t[65])/2 - (1541*t[66])/2 - 8*t[67] - 12*t[69] + 16*t[70] - 
       16*t[71] - 76*t[74] + 52*t[76] + 8*t[77] - 32*t[78] - 80*t[79] + 
       72*t[80] + 29*t[81] - 13*t[82] + 36*t[83] + 47*t[84] + (89*t[85])/2 + 
       238*t[86] - (181*t[87])/2 - (181*t[88])/4 + (279*t[89])/4 + 9*t[94] + 
       288*t[98] - 288*t[99] - 234*t[100] - 48*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*(16*t[1] + 12*t[2] - 
       (9*t[3])/2 - (659*t[4])/2 - 37*t[5] + t[6]/8 + (37*t[7])/2 + 
       (7*t[8])/2 + (159*t[9])/2 - (33*t[10])/2 - (975*t[11])/8 - 
       (65*t[12])/4 - (430*t[13])/3 + (1013*t[14])/24 + (3*t[15])/4 - 
       9*t[16] - 9*t[25] - 23*t[26] - 8*t[33] + 12*t[36] - 4*t[37] + 
       16*t[38] + 8*t[39] - 4*t[40] - 4*t[45] + (37*t[46])/2 + 4*t[47] + 
       (33*t[48])/8 + 16*t[49] - (7*t[50])/8 - (37*t[51])/4 + (103*t[52])/8 + 
       49*t[53] + (843*t[54])/8 - 25*t[59] - (1139*t[60])/4 + 7*t[61] + 
       (977*t[62])/8 + (3305*t[63])/8 + (373*t[64])/2 - (697*t[65])/6 + 
       (347*t[66])/6 + t[67] - 8*t[69] + 32*t[70] - 32*t[71] - 28*t[74] - 
       80*t[75] + 48*t[76] - 4*t[77] - 64*t[78] - 16*t[79] + 32*t[80] + 
       (39*t[81])/2 - (23*t[82])/2 + 86*t[83] - 92*t[84] - (111*t[85])/4 - 
       24*t[86] + (327*t[87])/4 - (433*t[88])/8 - 125*t[89] + 36*t[95] + 
       24*t[96] - 8*t[97] + 288*t[98] - 288*t[99] - 234*t[100] - 48*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*
      ((-31*t[1])/4 - (83*t[2])/8 - (125*t[3])/4 - (291*t[4])/8 - 
       (177*t[5])/8 + (77*t[6])/8 + (1053*t[7])/8 + 79*t[8] + (1037*t[9])/8 - 
       (1129*t[10])/16 + (821*t[11])/8 + (659*t[12])/16 + (15805*t[13])/144 + 
       (8071*t[14])/96 - (52*t[15])/3 + (7*t[17])/4 + 4*t[18] + 11*t[21] - 
       11*t[23] + t[24] + 4*t[32] - 4*t[33] + 12*t[34] + 2*t[38] + 4*t[39] - 
       4*t[40] + (43*t[41])/4 - (15*t[42])/4 - (177*t[43])/8 - (91*t[45])/4 - 
       (27*t[46])/4 + 63*t[47] - (23*t[48])/2 + (97*t[49])/16 + 4*t[50] + 
       (129*t[51])/32 - 16*t[52] - (65*t[53])/16 + (35*t[54])/8 - 12*t[59] + 
       (827*t[60])/8 + (2595*t[61])/8 - (4453*t[62])/16 - (1175*t[63])/16 + 
       (1345*t[64])/16 + (605*t[65])/4 - (1120*t[66])/3 - (15*t[67])/4 - 
       9*t[69] + 8*t[70] - 8*t[71] - (67*t[74])/2 + 26*t[76] + 4*t[77] - 
       16*t[78] - 36*t[79] + 50*t[80] + (55*t[81])/4 - (23*t[82])/4 + 
       19*t[83] + (89*t[84])/4 + (171*t[85])/8 + 143*t[86] - (303*t[87])/8 - 
       (303*t[88])/16 + (663*t[89])/16 + 3*t[94] + 144*t[98] - 144*t[99] - 
       93*t[100] - 24*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 
       1 - w]*(8*t[1] + 6*t[2] - t[3]/4 - (649*t[4])/4 - (235*t[5])/16 - 
       (13*t[6])/8 + (27*t[7])/4 - (19*t[8])/4 + (543*t[9])/16 + 
       (17*t[10])/4 - 64*t[11] - (173*t[12])/16 - (567*t[13])/8 + 
       (889*t[14])/48 - (25*t[15])/32 - (13*t[16])/4 - 9*t[25] - 
       (9*t[26])/2 - 4*t[33] + (13*t[36])/2 - 8*t[37] + 8*t[38] + 4*t[39] - 
       2*t[40] - 2*t[45] + (49*t[46])/4 + 2*t[47] + (3*t[48])/8 + 
       (17*t[49])/2 + (15*t[50])/8 - 5*t[51] + (33*t[52])/8 + (43*t[53])/2 + 
       (403*t[54])/8 - (53*t[59])/4 - (581*t[60])/4 - (19*t[61])/2 + 
       (425*t[62])/8 + (781*t[63])/4 + (741*t[64])/8 - (797*t[65])/12 + 
       (95*t[66])/4 - (3*t[67])/4 - 6*t[69] + 16*t[70] - 16*t[71] - 
       (29*t[74])/2 - 36*t[75] + 24*t[76] - 2*t[77] - 32*t[78] - 8*t[79] + 
       16*t[80] + 8*t[81] - 4*t[82] + (73*t[83])/2 - 48*t[84] - 
       (29*t[85])/2 - 14*t[86] + (77*t[87])/2 - (119*t[88])/4 - 
       (529*t[89])/8 + 18*t[95] + 12*t[96] - 4*t[97] + 144*t[98] - 
       144*t[99] - 93*t[100] - 24*t[101]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*(-24*t[1] + (163*t[2])/12 - 
       (4747*t[3])/24 - (5629*t[4])/24 - (107*t[5])/24 + (413*t[6])/4 + 
       (407*t[7])/2 + (895*t[8])/6 + (4097*t[9])/24 + (1443*t[10])/16 - 
       (728*t[11])/3 + (3081*t[12])/16 - (499*t[13])/24 + (7801*t[14])/288 + 
       (12209*t[15])/144 - 3*t[16] + (9*t[17])/2 + 14*t[19] + 60*t[20] + 
       16*t[21] - 52*t[22] - 16*t[23] - 2*t[24] - (61*t[25])/3 + 
       (95*t[26])/3 - (86*t[27])/3 + (40*t[28])/3 - (17*t[29])/6 + 
       (299*t[30])/6 - (232*t[31])/3 + 31*t[32] + (39*t[33])/2 + 
       (107*t[34])/3 - 68*t[35] + 7*t[36] - 22*t[37] - 26*t[38] - 
       (233*t[39])/6 - (91*t[40])/6 + (35*t[41])/3 - (35*t[42])/3 - 
       (25*t[43])/6 + (25*t[44])/12 - (75*t[45])/2 - (86*t[46])/3 + 3*t[47] + 
       (41*t[48])/4 - (1519*t[49])/16 + (617*t[50])/4 + (8479*t[51])/96 - 
       (967*t[52])/12 + (2039*t[53])/16 + (867*t[54])/8 - 3*t[55] - 
       10*t[56] - 8*t[57] - (2*t[58])/3 + (143*t[59])/6 + (2179*t[60])/24 - 
       (77*t[61])/8 - (10129*t[62])/48 + (143*t[63])/16 + (5473*t[64])/48 + 
       (4675*t[65])/72 + (2995*t[66])/24 - 4*t[68] + 8*t[69] + 4*t[70] - 
       4*t[71] + 124*t[72] - 72*t[74] - 88*t[75] + (11*t[76])/3 + 
       (44*t[77])/3 - (149*t[78])/3 + 4*t[79] + 94*t[80] - (181*t[81])/6 + 
       (127*t[82])/6 + 62*t[83] + (923*t[84])/24 - (1223*t[85])/24 + 
       (697*t[86])/3 + (791*t[87])/8 + (1143*t[88])/16 - (785*t[89])/48 + 
       18*t[93] - 24*t[95] - 28*t[96] - (22*t[97])/3 - 340*t[98] + 
       516*t[99] + 66*t[100] - 24*t[101]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*((187*t[1])/6 - (553*t[2])/6 - 
       (319*t[3])/2 - (86*t[4])/3 + (881*t[5])/48 + (1343*t[6])/24 - 
       (155*t[7])/12 + (6337*t[8])/12 - (13079*t[9])/48 + (1094*t[10])/3 + 
       (413*t[11])/12 + (3383*t[12])/48 + (137*t[13])/216 + (3377*t[14])/48 + 
       (30691*t[15])/288 + 3*t[16] - 5*t[17] + 2*t[18] - 16*t[19] + 4*t[20] + 
       2*t[21] + 54*t[22] - 2*t[23] - 2*t[24] + 7*t[25] - (11*t[26])/3 + 
       (61*t[27])/3 - (140*t[28])/3 - (61*t[29])/3 + (112*t[30])/3 + 
       12*t[31] + (349*t[32])/6 + (61*t[33])/3 - (85*t[34])/3 + 8*t[35] + 
       40*t[36] + 25*t[37] + 14*t[38] - (62*t[39])/3 + t[40]/6 + 
       (49*t[41])/6 - (19*t[42])/6 - (1009*t[43])/24 + (7*t[44])/12 + 
       (805*t[45])/12 - 10*t[46] - (163*t[47])/2 - (1255*t[48])/24 + 
       (53*t[49])/3 - (217*t[50])/8 + (13*t[51])/24 + (739*t[52])/24 - 
       (5*t[53])/3 + (893*t[54])/24 + 6*t[55] - (17*t[58])/3 + 6*t[59] - 
       (59*t[60])/6 + (2935*t[61])/12 - (12089*t[62])/24 - (1877*t[63])/24 + 
       (1651*t[64])/8 - (2675*t[65])/36 + (1247*t[66])/36 - 3*t[67] + 
       3*t[68] + 16*t[69] + 2*t[70] - 2*t[71] - 32*t[73] - 61*t[74] + 
       24*t[75] - (196*t[76])/3 + 24*t[77] + (190*t[78])/3 + 64*t[79] - 
       (569*t[80])/3 - (77*t[81])/2 - 14*t[82] + 130*t[83] - (263*t[84])/2 - 
       (1565*t[85])/12 + 322*t[86] + (355*t[87])/12 + (1915*t[88])/24 - 
       (57*t[89])/4 - 3*t[92] + 2*t[93] + 3*t[94] - 22*t[95] + 10*t[96] + 
       (59*t[97])/3 - 340*t[98] + 516*t[99] + 66*t[100] - 24*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((45*t[1])/2 - (69*t[2])/8 + (35*t[3])/8 - (359*t[4])/8 - 
       (137*t[5])/16 - (191*t[6])/8 + (339*t[7])/4 + (253*t[8])/8 + 
       (881*t[9])/16 - (1051*t[10])/16 + (115*t[11])/4 + (51*t[12])/8 + 
       (10339*t[13])/144 + (583*t[14])/32 - (2717*t[15])/96 + (3*t[17])/4 + 
       2*t[18] + 10*t[21] - 10*t[23] + 5*t[24] + 6*t[31] + 2*t[32] - 
       2*t[33] + 6*t[34] + 2*t[37] + t[38] + 2*t[39] - 2*t[40] + 3*t[41] + 
       t[42]/2 - (149*t[43])/8 - 11*t[45] - (25*t[46])/4 + 49*t[47] - 
       (11*t[48])/2 + (5*t[49])/16 - (13*t[50])/2 + (129*t[51])/32 + 
       t[52]/2 + (11*t[53])/16 + (59*t[54])/8 - (29*t[59])/2 + (75*t[60])/4 + 
       130*t[61] - (1671*t[62])/8 - (155*t[63])/8 + (875*t[64])/4 + 
       (421*t[65])/3 - (565*t[66])/3 - 4*t[67] - 22*t[69] + 4*t[70] - 
       2*t[71] - 24*t[74] + 4*t[75] + 13*t[76] + 2*t[77] - 8*t[78] - 
       8*t[79] - t[80] + (9*t[81])/2 + (15*t[82])/2 + 2*t[83] + 
       (13*t[84])/2 + (93*t[85])/4 + (203*t[86])/2 - (17*t[87])/4 - 
       (17*t[88])/8 + (425*t[89])/8 + (3*t[94])/2 + 72*t[98] - 88*t[99] + 
       109*t[100] - 12*t[101]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*(-5*t[1] + 3*t[2] + (107*t[3])/12 - 
       (4099*t[4])/24 + (79*t[5])/8 - (263*t[6])/16 + (35*t[7])/12 - 
       (187*t[8])/12 - (71*t[9])/24 + (2347*t[10])/48 - (4693*t[11])/48 + 
       (237*t[12])/16 - (3611*t[13])/72 - (9971*t[14])/288 + (403*t[15])/72 - 
       (3*t[16])/2 - (35*t[25])/2 + (27*t[26])/2 - 2*t[31] - 2*t[33] + 
       3*t[36] - (17*t[37])/2 + t[38] + 2*t[39] - t[40] - (7*t[43])/3 - 
       t[45] + (31*t[46])/4 + t[47] - (167*t[48])/16 + (713*t[49])/48 + 
       (467*t[50])/48 - (155*t[51])/96 - (323*t[52])/48 + (235*t[53])/48 + 
       (1847*t[54])/48 - (19*t[59])/2 - 153*t[60] - (609*t[61])/8 + 
       (485*t[62])/24 + (805*t[63])/6 + (9019*t[64])/48 - (217*t[65])/72 + 
       (7801*t[66])/72 - (5*t[67])/2 - 16*t[69] + 8*t[70] - 6*t[71] - 
       15*t[74] - 18*t[75] + 12*t[76] - t[77] - 16*t[78] - 4*t[79] + 
       6*t[80] + (11*t[81])/4 - (3*t[82])/4 + (71*t[83])/3 - 
       (1259*t[84])/24 - (157*t[85])/6 + (34*t[86])/3 + (553*t[87])/12 - 
       (179*t[88])/24 - (1367*t[89])/48 + 8*t[95] + 6*t[96] - 2*t[97] + 
       72*t[98] - 88*t[99] + 109*t[100] - 12*t[101]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-43*t[1])/4 - (7*t[2])/2 - (879*t[3])/16 - (1977*t[4])/16 + 
       (85*t[5])/16 + (367*t[6])/32 + (1229*t[7])/16 + (523*t[8])/16 + 
       (1143*t[9])/16 + (255*t[10])/32 - (4929*t[11])/32 + (2759*t[12])/32 - 
       (6199*t[13])/288 - (9611*t[14])/192 + (6917*t[15])/288 - 2*t[16] + 
       (11*t[17])/4 + (17*t[19])/2 + 22*t[20] + 10*t[21] - 20*t[22] - 
       10*t[23] + (3*t[24])/2 - (21*t[25])/2 + 9*t[26] - 11*t[27] + 3*t[28] + 
       (9*t[29])/4 + (149*t[30])/4 - 41*t[31] + (51*t[32])/4 + (35*t[33])/4 + 
       (25*t[34])/2 - 39*t[35] + (19*t[36])/2 - 12*t[37] - 12*t[38] - 
       23*t[39] - 5*t[40] + 6*t[41] - 6*t[42] - (49*t[43])/16 + 
       (15*t[44])/8 - (101*t[45])/8 - (39*t[46])/4 + (27*t[47])/4 + 
       (67*t[48])/32 - (1593*t[49])/32 + (2127*t[50])/32 + (2989*t[51])/64 - 
       (1199*t[52])/32 + (1969*t[53])/32 + (1439*t[54])/32 - (5*t[55])/4 - 
       (7*t[56])/2 - 3*t[57] + (71*t[59])/8 - (183*t[60])/4 - (917*t[61])/8 - 
       (1179*t[62])/16 - (289*t[63])/16 + (2613*t[64])/16 + (475*t[65])/8 + 
       (3547*t[66])/24 - (3*t[68])/2 + 3*t[69] + 2*t[70] - 2*t[71] + 
       28*t[72] - (95*t[74])/2 - 48*t[75] + (5*t[76])/4 + 7*t[77] - 
       (61*t[78])/2 + 18*t[79] + (123*t[80])/2 - (89*t[81])/4 + 
       (29*t[82])/4 + (87*t[83])/2 - (115*t[84])/8 - (307*t[85])/8 + 
       159*t[86] + (701*t[87])/8 + (845*t[88])/16 + 2*t[89] + 6*t[93] - 
       9*t[95] - 14*t[96] - (17*t[97])/4 - 120*t[98] + 172*t[99] + 
       190*t[100] - 12*t[101]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 
       1 - v]*((23*t[1])/2 - (187*t[2])/4 - (895*t[3])/16 - 6*t[4] + 
       (643*t[5])/32 + (813*t[6])/32 - (185*t[7])/4 + (493*t[8])/2 - 
       (4515*t[9])/32 + (3461*t[10])/16 - (1135*t[11])/32 + (555*t[12])/32 - 
       (107*t[13])/4 + (89*t[14])/8 + (25975*t[15])/576 + 2*t[16] - 
       (9*t[17])/4 - t[18] - 10*t[19] + t[20] + t[21] + 26*t[22] - t[23] - 
       3*t[24] - 2*t[25] - (11*t[26])/4 + (17*t[27])/2 - 17*t[28] - 
       (23*t[29])/4 + 22*t[30] + 7*t[31] + 23*t[32] + 6*t[33] - 16*t[34] - 
       3*t[35] + 26*t[36] + 14*t[37] + (23*t[38])/4 - (33*t[39])/4 - 
       (5*t[40])/2 + (13*t[41])/4 - (7*t[42])/4 - (295*t[43])/16 - 
       (37*t[44])/4 + (139*t[45])/4 - (25*t[46])/4 - (175*t[47])/4 - 
       (837*t[48])/32 + (207*t[49])/16 - (521*t[50])/32 - (17*t[51])/16 + 
       (601*t[52])/32 - (95*t[53])/16 + (269*t[54])/32 + (9*t[55])/4 - 
       (11*t[58])/4 + (15*t[59])/4 - (67*t[60])/16 + (953*t[61])/16 - 
       (5535*t[62])/32 - (165*t[63])/32 + (941*t[64])/32 - (421*t[65])/16 + 
       (1381*t[66])/16 - t[67]/2 + 3*t[68] + 8*t[69] + 3*t[70] - 3*t[71] - 
       9*t[72] - 4*t[73] - 42*t[74] + 4*t[75] - (161*t[76])/4 + 
       (31*t[77])/2 + (159*t[78])/4 + 26*t[79] - (205*t[80])/2 - 
       (77*t[81])/4 - (41*t[82])/2 + 42*t[83] - (961*t[84])/16 - 
       (811*t[85])/16 + (341*t[86])/4 + (163*t[87])/16 + (899*t[88])/32 + 
       (169*t[89])/32 + t[91]/12 - t[92]/2 + t[93] + t[94]/2 - 8*t[95] + 
       (11*t[96])/2 + (15*t[97])/2 - 120*t[98] + 172*t[99] + 190*t[100] - 
       12*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*(2*t[1] - (87*t[2])/4 - (131*t[3])/16 + 
       (509*t[4])/8 - (941*t[5])/8 + (129*t[6])/8 + (537*t[7])/8 - 
       (333*t[8])/8 + (1113*t[9])/8 - (1173*t[10])/16 + (359*t[11])/2 + 
       (559*t[12])/16 + (1699*t[13])/48 + (8233*t[14])/96 - 
       (3073*t[15])/288 - 4*t[16] - (5*t[17])/4 - 2*t[19] - 13*t[20] - 
       10*t[21] + 2*t[22] + 10*t[23] - 9*t[24] + 5*t[25] - 3*t[26] - 
       5*t[27] - 7*t[28] + (9*t[29])/4 - (15*t[30])/2 - 8*t[31] - 
       (33*t[32])/4 - 6*t[33] + t[34] + 4*t[35] - 14*t[36] - (15*t[37])/2 - 
       4*t[38] + 4*t[39] - 4*t[40] - (29*t[41])/4 + (29*t[42])/4 + 
       (47*t[44])/8 + (13*t[45])/2 + 4*t[46] - 10*t[47] - (133*t[48])/4 + 
       (233*t[49])/16 + (17*t[50])/4 - (361*t[51])/32 - (37*t[52])/4 - 
       (233*t[53])/16 - 22*t[54] + t[58] + (7*t[59])/2 + (323*t[60])/4 + 
       (827*t[61])/4 - (173*t[62])/16 + (2025*t[63])/16 - (345*t[64])/8 - 
       (2603*t[65])/24 - (5761*t[66])/24 + 4*t[67] + (25*t[68])/2 - 8*t[69] - 
       3*t[70] + 3*t[71] - 8*t[72] + 14*t[73] + (35*t[74])/2 - 23*t[75] + 
       21*t[76] - (33*t[77])/2 - (39*t[78])/2 + 4*t[79] - 19*t[80] + 
       34*t[81] - (89*t[82])/2 - t[83] + (123*t[84])/8 + (279*t[85])/8 + 
       32*t[86] - (749*t[87])/8 - (965*t[88])/16 - (1221*t[89])/16 + 
       3*t[92] - 2*t[93] - 4*t[94] + 3*t[95] + 3*t[96] - t[97] + 96*t[98] - 
       50*t[99] - 416*t[100] - 6*t[101]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*(8*t[1] + (45*t[2])/4 - 
       (409*t[3])/8 + (51*t[4])/8 - (365*t[5])/16 + (51*t[6])/8 + 11*t[7] + 
       (325*t[8])/4 + (681*t[9])/16 - 72*t[10] + (425*t[11])/8 + 
       (55*t[12])/16 + (355*t[13])/72 + (6145*t[14])/96 + (2395*t[15])/288 + 
       t[16]/2 - t[17]/2 + t[19] - 18*t[20] + 2*t[21] + 8*t[22] - 2*t[23] + 
       3*t[24] + (3*t[25])/2 - 7*t[26] - t[27] + 5*t[28] - (11*t[29])/2 + 
       4*t[30] + 5*t[31] + (9*t[32])/2 - 8*t[33] - (7*t[34])/2 - 6*t[35] + 
       (3*t[36])/2 + (5*t[37])/2 + 7*t[38] + 17*t[39] - (5*t[40])/2 + 
       (17*t[41])/4 - (17*t[42])/4 - (17*t[44])/4 + 3*t[45] - (17*t[46])/4 + 
       (3*t[47])/2 + (181*t[48])/8 + (79*t[49])/8 - (55*t[50])/8 + 
       (31*t[51])/32 + (51*t[52])/8 + (47*t[53])/8 + (35*t[54])/2 + t[55]/2 + 
       t[56] - 4*t[59] - (95*t[60])/2 + (953*t[61])/4 - 48*t[62] + 
       (113*t[63])/2 + (979*t[64])/8 - (107*t[65])/4 - (541*t[66])/6 + 
       t[68]/2 - 16*t[69] + 2*t[70] - 2*t[71] + 20*t[72] + 8*t[73] - 
       4*t[74] - 2*t[75] + 26*t[76] - t[77]/2 - 2*t[78] + 28*t[79] + 
       26*t[80] - (7*t[81])/2 + (17*t[82])/2 - 21*t[83] + (131*t[84])/4 - 
       34*t[85] + 5*t[86] + (181*t[87])/2 + (177*t[88])/4 + (39*t[89])/4 + 
       8*t[95] + 9*t[96] + 3*t[97] + 96*t[98] - 50*t[99] - 416*t[100] - 
       6*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*((17*t[1])/12 - (5*t[2])/3 + (23*t[3])/4 - 
       (239*t[4])/12 + (3059*t[5])/48 + (5557*t[6])/48 - (716*t[7])/3 + 
       (1921*t[8])/12 - (9359*t[9])/48 + (2023*t[10])/24 - (4375*t[11])/48 - 
       (1309*t[12])/48 - (6565*t[13])/216 - (421*t[14])/16 + 
       (1643*t[15])/32 + t[17]/4 - 8*t[18] - 4*t[19] + 4*t[20] + 20*t[22] + 
       2*t[23] - 6*t[24] - 2*t[25] + (13*t[26])/3 - (20*t[27])/3 + 
       (88*t[28])/3 + (19*t[29])/6 + (17*t[30])/6 + 12*t[31] + 
       (155*t[32])/12 + t[33]/3 - (179*t[34])/6 - 20*t[35] + 4*t[36] - 
       2*t[37] + t[38]/2 + (55*t[39])/3 - (40*t[40])/3 - (43*t[41])/12 + 
       (7*t[42])/12 + (143*t[43])/24 - (145*t[44])/6 + (535*t[45])/12 + 
       (3*t[46])/2 - (203*t[47])/2 + (2167*t[48])/48 - (935*t[49])/24 - 
       (223*t[50])/16 + (641*t[51])/48 + (2069*t[52])/48 + (767*t[53])/24 + 
       (2293*t[54])/48 - (2*t[58])/3 + (17*t[59])/4 - (113*t[60])/24 - 
       (1747*t[61])/24 + (14957*t[62])/48 + (4085*t[63])/48 - 
       (1555*t[64])/16 - (5251*t[65])/72 + (16609*t[66])/72 - t[68]/2 - 
       2*t[69] + 14*t[70] - 14*t[71] + 7*t[72] + 6*t[73] + 8*t[74] - 
       (377*t[76])/6 + 13*t[77] + (461*t[78])/6 - 18*t[79] - (275*t[80])/3 - 
       (33*t[81])/2 - (43*t[82])/2 - 71*t[83] + (253*t[84])/8 - 
       (1105*t[85])/24 - 303*t[86] + (1547*t[87])/24 + (1667*t[88])/48 - 
       (253*t[89])/16 - 14*t[96] - (53*t[97])/6 - 364*t[98] + 376*t[99] - 
       44*t[100] - 6*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-59*t[1])/4 + (10*t[2])/3 - (19*t[3])/6 - 
       (379*t[4])/24 + (877*t[5])/24 + (617*t[6])/16 - (41*t[7])/2 + 
       (941*t[8])/12 - (841*t[9])/6 - (2411*t[10])/16 + (661*t[11])/48 + 
       (479*t[12])/16 + (1363*t[13])/24 - (19595*t[14])/288 + 
       (659*t[15])/16 - (3*t[17])/4 + 18*t[19] - 4*t[20] + 6*t[21] + 
       12*t[22] - 6*t[23] + 4*t[24] + (44*t[25])/3 + (11*t[26])/3 - 
       (26*t[27])/3 - (8*t[28])/3 - (11*t[29])/6 + (25*t[30])/3 + 
       (2*t[31])/3 + (27*t[32])/4 - (3*t[33])/2 - (95*t[34])/6 + 12*t[35] - 
       7*t[36] - 11*t[37] - (29*t[38])/2 - (59*t[39])/6 + (83*t[40])/6 + 
       (47*t[41])/12 - (47*t[42])/12 - (5*t[43])/12 + (169*t[44])/12 + 
       14*t[45] - (7*t[46])/6 - 10*t[47] + (527*t[48])/16 - (569*t[49])/16 - 
       (45*t[50])/16 + (1261*t[51])/96 + (287*t[52])/48 + (105*t[53])/16 + 
       (183*t[54])/16 + 2*t[56] + 4*t[57] + (7*t[58])/3 + (7*t[59])/12 - 
       (119*t[60])/6 + (107*t[61])/4 - (71*t[62])/24 - (387*t[63])/2 + 
       (838*t[64])/3 + (482*t[65])/9 + (485*t[66])/4 + (3*t[68])/2 - 
       6*t[69] + 8*t[70] - 8*t[71] + t[72] + 10*t[73] + 9*t[74] - 32*t[75] - 
       (365*t[76])/6 - (25*t[77])/3 + (509*t[78])/6 + 10*t[79] + 8*t[80] - 
       (101*t[81])/3 - (29*t[82])/6 + 5*t[83] + (61*t[84])/3 - 
       (727*t[85])/12 + (247*t[86])/3 + (599*t[87])/4 + (835*t[88])/8 + 
       (259*t[89])/12 - 2*t[93] - 10*t[95] - 20*t[96] - (29*t[97])/6 - 
       364*t[98] + 376*t[99] - 44*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*(-t[1] - (97*t[2])/16 + 
       (237*t[3])/8 - (53*t[4])/8 + (673*t[5])/32 - (889*t[6])/32 - 
       (325*t[7])/8 - (185*t[8])/8 - (1897*t[9])/32 + (181*t[10])/16 - 
       (265*t[11])/32 - (5*t[12])/32 - (473*t[13])/144 - (4529*t[14])/96 + 
       (4303*t[15])/576 - t[20] + 2*t[22] + 5*t[28] + (21*t[29])/4 + 
       (55*t[30])/4 - (37*t[32])/8 - (11*t[33])/4 + t[34] - 3*t[35] + t[37] - 
       t[38]/2 + t[39] + t[40] + t[41]/4 - t[42]/4 - (151*t[44])/8 - 
       (7*t[45])/2 + (9*t[47])/2 - (343*t[48])/32 + (43*t[49])/16 - 
       (195*t[50])/32 - (51*t[51])/32 + (99*t[52])/32 - (43*t[53])/16 - 
       (513*t[54])/32 - 2*t[59] - 98*t[60] - (807*t[61])/16 + (117*t[62])/4 + 
       (1467*t[63])/16 + (3095*t[64])/32 + (179*t[65])/16 + (2279*t[66])/48 - 
       3*t[69] - 2*t[70] + 2*t[71] - 4*t[74] - 9*t[75] + (11*t[76])/2 - 
       6*t[78] - 4*t[79] + 6*t[80] + (25*t[81])/8 - (9*t[82])/8 + 
       (21*t[83])/2 - (461*t[84])/16 - (151*t[85])/8 - 6*t[86] + 33*t[87] + 
       (5*t[88])/4 - (477*t[89])/32 + 4*t[95] + 2*t[96] - t[97] + 36*t[98] - 
       44*t[99] + (93*t[100])/2 - 6*t[101]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*(-t[1] - (23*t[2])/16 + (913*t[3])/16 + 
       3*t[4] + (1753*t[5])/96 - (1637*t[6])/96 - (87*t[7])/4 - (73*t[8])/3 - 
       (6809*t[9])/96 - (31*t[10])/4 + (527*t[11])/96 - (731*t[12])/96 - 
       (139*t[13])/36 - (1783*t[14])/72 - (2599*t[15])/192 + 6*t[18] + 
       25*t[20] - 10*t[22] + (4*t[24])/3 + 5*t[28] + (17*t[29])/2 + 
       (55*t[30])/4 + (4*t[31])/3 - (49*t[32])/8 + (11*t[33])/4 + t[34]/2 - 
       3*t[35] + t[37] - t[38]/2 + t[40] + (2*t[43])/3 + (35*t[44])/4 - 
       2*t[45] - (359*t[48])/96 + (29*t[49])/12 - (115*t[50])/96 - 
       (35*t[51])/24 - (77*t[52])/96 - (29*t[53])/12 - (627*t[54])/32 - 
       (35*t[59])/4 - (163*t[60])/4 - (175*t[61])/48 + (295*t[62])/48 + 
       (623*t[63])/8 + (2157*t[64])/32 - (4297*t[65])/144 + 
       (6961*t[66])/144 - (5*t[67])/4 - 16*t[69] + 4*t[70] - 7*t[71] - 
       (13*t[74])/2 - 9*t[75] + 6*t[76] - t[77]/2 - 8*t[78] - 6*t[79] + 
       3*t[80] + (15*t[81])/8 - (7*t[82])/8 + (55*t[83])/6 - 
       (1259*t[84])/48 - (34*t[85])/3 - (53*t[86])/3 + (143*t[87])/24 - 
       (589*t[88])/48 - (481*t[89])/32 + 4*t[95] + 3*t[96] - t[97] + 
       36*t[98] - 44*t[99] + (93*t[100])/2 - 6*t[101]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-325*t[1])/24 + (277*t[2])/144 + (539*t[3])/32 + (34*t[4])/9 - 
       (94321*t[5])/576 - (4955*t[6])/144 - (9175*t[7])/288 - 
       (21523*t[8])/288 + (86779*t[9])/576 + (21979*t[10])/288 - 
       (8927*t[11])/72 + (21977*t[12])/576 - (450179*t[13])/5184 - 
       (13765*t[14])/576 - (195911*t[15])/3456 - (3*t[17])/2 + (2*t[19])/3 + 
       t[21] + t[22]/3 - t[23] + 3*t[24] - (29*t[26])/36 - (19*t[27])/18 - 
       (8*t[28])/9 + (19*t[29])/18 - (101*t[30])/36 - (11*t[31])/3 + 
       (43*t[32])/18 - (37*t[33])/18 + (53*t[34])/9 - (11*t[35])/2 - 
       3*t[37] - (7*t[38])/6 + (37*t[39])/9 - (77*t[40])/18 + (25*t[41])/18 - 
       (25*t[42])/18 - (2917*t[43])/72 + (395*t[44])/18 - (1007*t[45])/144 + 
       (203*t[46])/12 - (59*t[47])/24 - (10057*t[48])/288 - (637*t[49])/144 + 
       (343*t[50])/32 - (4289*t[51])/288 - (3119*t[52])/288 + 
       (589*t[53])/144 + (1469*t[54])/288 - (41*t[58])/36 + (295*t[59])/72 - 
       (847*t[60])/144 - (32381*t[61])/144 + (10015*t[62])/288 - 
       (9785*t[63])/288 - (8767*t[64])/32 + (8611*t[65])/432 + 
       (102047*t[66])/432 + (5*t[69])/6 + t[72]/2 + (235*t[73])/12 - 
       (56*t[74])/3 - (259*t[75])/12 + (1037*t[76])/36 - (200*t[78])/9 + 
       50*t[79] - (7769*t[80])/36 + (281*t[81])/24 - (377*t[82])/24 - 
       (2*t[83])/3 + (3*t[84])/2 + (3619*t[85])/144 + 23*t[86] - 
       (8975*t[87])/144 - (9119*t[88])/288 - (3449*t[89])/96 + (14*t[97])/9 + 
       (1009*t[98])/6 - (1033*t[99])/6 + (77*t[100])/6 + 2*t[101]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((49*t[1])/6 - (191*t[2])/36 - (182*t[3])/9 + (23*t[4])/72 - 
       (889*t[5])/36 + (161*t[6])/16 - (149*t[7])/6 + (229*t[8])/72 + 
       (2629*t[9])/144 + 24*t[10] - (439*t[11])/72 + (349*t[12])/24 + 
       (7463*t[13])/216 - (30761*t[14])/864 + (2753*t[15])/432 - 
       (7*t[16])/2 + t[19]/3 + t[22] - (161*t[25])/18 - (103*t[26])/36 - 
       (19*t[27])/18 + (136*t[28])/9 - (53*t[29])/18 - (95*t[30])/36 + 
       (121*t[31])/18 - (8*t[32])/3 + 3*t[33] - (7*t[34])/9 - (52*t[35])/3 - 
       (9*t[36])/4 + (35*t[37])/6 + (67*t[38])/6 + (211*t[39])/18 - 
       (115*t[40])/18 + (7*t[41])/18 - (7*t[42])/18 + (37*t[43])/36 - 
       (19*t[44])/18 + (7*t[45])/3 - (3275*t[46])/144 - 7*t[47] - 
       (55*t[48])/48 + (311*t[49])/48 - (537*t[50])/16 + (6569*t[51])/144 + 
       (4193*t[52])/144 + (77*t[53])/3 + (49*t[54])/24 - (23*t[58])/36 + 
       (2*t[59])/3 + (2741*t[60])/144 + (251*t[61])/12 + (17875*t[62])/288 - 
       (13475*t[63])/96 - (1519*t[64])/288 + (5843*t[65])/108 - 
       (2149*t[66])/24 + t[69] + 3*t[72] + 33*t[73] - (34*t[74])/3 + 
       (94*t[75])/3 + (767*t[76])/36 + (419*t[77])/36 - (92*t[78])/9 - 
       (22*t[79])/3 - (11*t[80])/6 + (961*t[81])/36 - (223*t[82])/9 - 
       (1081*t[83])/12 + (1277*t[84])/72 + (2215*t[85])/72 - (878*t[86])/9 - 
       (1811*t[87])/48 - (465*t[88])/32 + (12767*t[89])/288 - (16*t[95])/3 + 
       4*t[96] + (73*t[97])/18 + (979*t[98])/6 - (1003*t[99])/6 + 
       (349*t[100])/12 + 2*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*(20*t[1] + (71*t[2])/6 + (83*t[3])/6 + 
       (823*t[4])/12 - (161*t[5])/4 + (207*t[6])/8 - (217*t[7])/4 - 
       (2323*t[8])/12 - (929*t[9])/12 + (1421*t[10])/8 - (5671*t[11])/24 - 
       (3011*t[12])/8 - (24397*t[13])/108 - (4037*t[14])/36 + 
       (2641*t[15])/36 + 6*t[16] + 13*t[19] - 12*t[20] - 12*t[21] + 4*t[22] + 
       12*t[23] + 11*t[25] - (101*t[26])/3 + 2*t[27] + 2*t[28] - 2*t[29] + 
       14*t[30] + 22*t[31] - 5*t[32] + (16*t[33])/3 + (29*t[34])/3 - 
       18*t[35] - 24*t[36] - 37*t[37] + (58*t[38])/3 - (85*t[39])/3 + 
       (25*t[40])/3 - (47*t[41])/6 + (47*t[42])/6 + t[43] + 8*t[44] + 
       (167*t[45])/6 - 6*t[46] - (367*t[47])/6 - (1327*t[48])/24 + 
       (1909*t[49])/24 + (1051*t[50])/8 - (373*t[51])/6 - (875*t[52])/8 - 
       (1151*t[53])/8 - (1437*t[54])/8 + (7*t[58])/3 - (16*t[59])/3 + 
       144*t[60] - 89*t[61] + (926*t[62])/3 + (1691*t[63])/4 - 
       (2369*t[64])/6 + (1783*t[65])/9 + (2397*t[66])/2 + 3*t[69] + 
       12*t[70] - 12*t[71] + 9*t[72] - 78*t[73] + 43*t[74] - 92*t[75] - 
       (533*t[76])/3 - 18*t[77] + (628*t[78])/3 + 7*t[79] - 122*t[80] - 
       (245*t[81])/6 + (51*t[82])/2 + (385*t[83])/2 + (453*t[84])/4 + 
       (205*t[85])/6 - 15*t[86] + 60*t[87] + 92*t[88] + (2067*t[89])/8 - 
       38*t[95] - 78*t[96] - (79*t[97])/3 - 924*t[98] + 828*t[99] + 
       333*t[100] + 2*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((13*t[1])/3 + (841*t[2])/12 + 
       (7141*t[3])/24 + (4061*t[4])/12 + (7225*t[5])/48 - (937*t[6])/12 - 
       (1823*t[7])/6 - (6017*t[8])/12 - (32315*t[9])/48 + (123*t[10])/4 - 
       (1256*t[11])/3 - (6203*t[12])/16 - (160945*t[13])/432 - 
       (56575*t[14])/144 + (2601*t[15])/32 + t[17]/2 - 10*t[18] - 
       (22*t[19])/3 - 6*t[20] - 11*t[21] - 7*t[22] + 11*t[23] - 17*t[24] - 
       24*t[25] + (52*t[26])/3 + 2*t[27] - 4*t[28] + 4*t[29] - 4*t[30] + 
       60*t[31] - 12*t[32] + (43*t[33])/3 - (319*t[34])/3 + 10*t[35] - 
       6*t[36] - (2*t[37])/3 + (143*t[38])/6 - (49*t[39])/3 + (205*t[40])/6 - 
       (16*t[41])/3 + (10*t[42])/3 + (187*t[43])/8 + 14*t[44] + 
       (2105*t[45])/12 - (11*t[46])/3 - (1244*t[47])/3 + (1027*t[48])/24 - 
       45*t[49] - (769*t[50])/24 + (65*t[51])/2 + (115*t[52])/8 + 
       (134*t[53])/3 - (323*t[54])/24 - t[58]/3 + (65*t[59])/4 - 
       (553*t[60])/4 - (5327*t[61])/12 + (3561*t[62])/4 - (427*t[63])/4 - 
       (6605*t[64])/8 - (892*t[65])/3 + (36415*t[66])/36 + t[67] + 8*t[69] + 
       12*t[70] - 12*t[71] + 3*t[72] - 48*t[73] + 136*t[74] + 54*t[75] - 
       155*t[76] - 11*t[77] + (254*t[78])/3 - 141*t[79] - 615*t[80] - 
       (401*t[81])/6 - (169*t[82])/6 - 36*t[83] - (107*t[84])/12 - 
       (307*t[85])/6 - 469*t[86] + (1297*t[87])/6 + (1309*t[88])/12 + 
       (1697*t[89])/24 - t[94] - (17*t[97])/2 - 960*t[98] + 864*t[99] + 
       450*t[100] + 2*t[101]) + HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-17*t[1])/8 - (53*t[2])/24 - (221*t[3])/32 + (4019*t[4])/96 - 
       (97*t[5])/3 - (967*t[6])/192 + (1423*t[7])/96 - (4877*t[8])/96 + 
       (351*t[9])/16 + (4645*t[10])/192 + (767*t[11])/64 + (673*t[12])/64 + 
       (6821*t[13])/576 + (52865*t[14])/1152 + (61*t[15])/9 + t[16]/2 - 
       (3*t[17])/4 + t[18]/3 + 4*t[19] + (11*t[20])/2 - (8*t[21])/3 + 
       (5*t[22])/6 + (8*t[23])/3 - (14*t[24])/3 + (7*t[25])/6 + 
       (13*t[26])/4 - t[27]/6 - (23*t[28])/6 - (89*t[29])/24 - t[30]/4 + 
       (35*t[31])/6 + (10*t[32])/3 - (11*t[33])/3 + (59*t[34])/12 + 
       (22*t[35])/3 - t[36]/2 - (19*t[37])/6 - (11*t[38])/6 + t[39] - 
       (16*t[40])/3 - (7*t[41])/8 + (25*t[42])/24 - (61*t[43])/32 + 
       (341*t[44])/48 - (93*t[45])/16 - (121*t[46])/24 - (229*t[47])/24 - 
       (973*t[48])/64 + (1285*t[49])/192 + (775*t[50])/64 + (829*t[51])/384 - 
       (581*t[52])/192 - (1613*t[53])/192 - (1157*t[54])/64 + t[56]/12 - 
       (11*t[57])/6 - t[58]/12 - (3*t[59])/8 + (3091*t[60])/48 - 
       (45*t[61])/16 + (3151*t[62])/96 + (881*t[63])/96 - (12497*t[64])/96 - 
       (9469*t[65])/144 - (8911*t[66])/144 + t[67]/12 + t[68]/3 + 
       (5*t[69])/2 - t[70] + t[71] + (25*t[72])/3 - 2*t[73] - (31*t[74])/3 - 
       (7*t[75])/6 - (4*t[76])/3 - (5*t[77])/3 + (53*t[78])/12 - 
       (19*t[79])/2 - (143*t[80])/6 + (73*t[81])/6 - 6*t[82] + 
       (143*t[83])/12 + (65*t[84])/48 + (189*t[85])/16 - (137*t[86])/3 - 
       (2159*t[87])/48 - (2159*t[88])/96 - (911*t[89])/96 + t[90]/6 + 
       t[92]/6 + t[93] - t[94]/6 + (11*t[97])/12 - 7*t[98] + 21*t[99] - 
       (235*t[100])/4 + 4*t[101]) + HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - w]*((53*t[1])/24 - (11*t[2])/3 - (1055*t[3])/96 + 
       (1391*t[4])/48 - (1199*t[5])/192 + (415*t[6])/192 - (445*t[7])/32 + 
       (479*t[8])/96 + (87*t[9])/64 + (2155*t[10])/32 - (4003*t[11])/192 - 
       (395*t[12])/64 + (41689*t[13])/1728 + (10661*t[14])/576 + 
       (1423*t[15])/384 - t[16]/12 + t[25]/2 + (23*t[26])/12 + (17*t[27])/3 + 
       (7*t[28])/3 - (17*t[29])/12 + (7*t[30])/4 + (25*t[31])/3 + 
       (5*t[32])/6 - t[33]/6 - (19*t[34])/12 + (8*t[35])/3 + (3*t[36])/2 - 
       (4*t[37])/3 + 2*t[38] + (101*t[39])/12 - (125*t[40])/24 + 
       (19*t[41])/24 - (19*t[42])/24 - (241*t[43])/48 - (73*t[44])/24 + 
       (307*t[45])/48 - t[46] - (93*t[47])/8 + (707*t[48])/192 + 
       (145*t[49])/48 - (1385*t[50])/192 + (163*t[51])/192 + 
       (1369*t[52])/192 - (5*t[53])/48 - (429*t[54])/64 + t[58]/12 - 
       (35*t[59])/24 + (2443*t[60])/96 - (439*t[61])/96 + (3943*t[62])/192 - 
       (8303*t[63])/192 - (4405*t[64])/64 - (55*t[65])/288 - 
       (3167*t[66])/96 - t[67]/12 - (10*t[68])/3 - (8*t[69])/3 - 
       (2*t[70])/3 + (2*t[71])/3 + (13*t[72])/2 - (67*t[73])/6 - 
       (11*t[74])/6 + (73*t[75])/6 + (7*t[76])/2 + (17*t[77])/12 - 
       (5*t[78])/12 - 5*t[79] - (89*t[80])/4 + (47*t[81])/12 + 5*t[82] + 
       20*t[83] - (59*t[84])/32 - (23*t[85])/32 - (541*t[86])/8 - 
       (1351*t[87])/96 - (1223*t[88])/192 + (7933*t[89])/192 + t[90]/6 - 
       t[91]/24 + t[93]/2 - (5*t[95])/3 + (13*t[96])/3 + (11*t[97])/4 - 
       17*t[98] + 31*t[99] - (105*t[100])/4 + 4*t[101]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*((22*t[1])/3 - (17*t[2])/2 + 
       (169*t[3])/24 - (329*t[4])/16 + (3429*t[5])/32 - (3517*t[6])/96 + 
       3*t[7] + (79*t[8])/4 - (4127*t[9])/32 + (3989*t[10])/96 + 
       (2095*t[11])/96 - (2555*t[12])/48 - (137*t[13])/12 - 
       (31007*t[14])/576 + (18185*t[15])/576 + t[16]/2 + (11*t[17])/4 + 
       2*t[18] - (23*t[19])/3 + 15*t[20] + (13*t[21])/2 - (25*t[22])/2 - 
       (13*t[23])/2 + (9*t[24])/2 - 7*t[25] - (11*t[26])/6 - (7*t[27])/6 - 
       (5*t[28])/3 - (53*t[29])/12 + 17*t[30] - (23*t[31])/3 - (19*t[32])/6 + 
       (17*t[33])/2 - 14*t[34] - (155*t[35])/6 + 2*t[36] + (65*t[37])/6 + 
       (25*t[38])/4 - (71*t[39])/6 + (199*t[40])/12 - t[41]/2 + (3*t[42])/2 + 
       (473*t[43])/48 + (233*t[44])/24 + (389*t[45])/12 + t[46]/12 - 
       (265*t[47])/12 + (85*t[48])/96 + (911*t[49])/96 - (247*t[50])/96 - 
       (65*t[51])/192 - (1433*t[52])/96 - (815*t[53])/96 - (3263*t[54])/96 - 
       t[56] - t[57] - t[58]/6 + (95*t[59])/24 - (311*t[60])/48 + 
       (1237*t[61])/16 - (2899*t[62])/32 + (967*t[63])/32 + (7807*t[64])/96 - 
       (493*t[65])/48 + (5009*t[66])/144 - t[67]/2 - 3*t[68] + (19*t[69])/3 - 
       2*t[70] + 2*t[71] - (29*t[72])/2 - (19*t[73])/6 - 6*t[74] + 
       (43*t[75])/6 + (65*t[76])/6 + 12*t[77] + (23*t[78])/12 + 4*t[79] - 
       (7*t[80])/3 - (22*t[81])/3 - (49*t[82])/6 - (9*t[83])/2 - 
       (241*t[84])/16 - (127*t[85])/16 + (69*t[86])/2 + (547*t[87])/16 + 
       (1633*t[88])/96 + (2111*t[89])/96 + t[91]/12 - t[92]/2 - t[93] + 
       t[94]/2 - t[97]/12 + 57*t[98] - 91*t[99] + 174*t[100] + 5*t[101]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*((-31*t[1])/4 + (7*t[2])/4 + 
       (207*t[3])/8 - (227*t[4])/3 + (673*t[5])/48 - (523*t[6])/16 - 
       (125*t[7])/4 - 76*t[8] - (799*t[9])/48 - 47*t[10] - (1439*t[11])/16 - 
       (271*t[12])/48 - (9485*t[13])/216 - (1021*t[14])/16 - 
       (721*t[15])/288 - t[17]/12 - t[22]/3 + t[24]/6 - t[25]/3 - 
       (9*t[26])/4 + (5*t[27])/6 - (13*t[28])/3 - (19*t[29])/3 + 
       (19*t[30])/2 + (71*t[31])/6 - t[32] + 2*t[33] + (11*t[34])/2 + 
       (46*t[35])/3 + t[36]/2 + (19*t[37])/3 - (5*t[38])/6 - (32*t[39])/3 + 
       6*t[40] - (11*t[41])/4 + (11*t[42])/4 + (11*t[43])/4 + (5*t[44])/3 + 
       t[45]/2 + (61*t[46])/24 - (13*t[47])/12 - (1789*t[48])/48 - 
       (433*t[49])/24 + (221*t[50])/16 + (113*t[51])/12 - (823*t[52])/48 + 
       (167*t[53])/12 + (823*t[54])/48 - (25*t[58])/12 - (22*t[59])/3 - 
       (129*t[60])/2 - (1411*t[61])/8 + (3733*t[62])/48 + (2419*t[63])/16 + 
       (467*t[64])/12 + (1921*t[65])/72 + (371*t[66])/2 + t[68]/6 - 
       (26*t[72])/3 - 12*t[73] - (8*t[74])/3 + (16*t[75])/3 - (53*t[76])/12 - 
       t[77]/6 + (31*t[78])/6 + 4*t[79] + t[80]/2 - (19*t[81])/6 + 
       (47*t[82])/4 + (199*t[83])/6 - (133*t[84])/8 + (93*t[85])/4 + 
       (25*t[86])/2 + (109*t[87])/24 - (83*t[88])/48 - (335*t[89])/12 + 
       4*t[95] - 12*t[96] - (19*t[97])/3 + 19*t[98] - 53*t[99] + 
       (595*t[100])/2 + 5*t[101]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((-31*t[1])/12 + (305*t[2])/24 + (63*t[3])/2 + 
       (209*t[4])/6 - (2155*t[5])/48 - (1193*t[6])/48 + (3253*t[7])/48 - 
       (5489*t[8])/48 + (2903*t[9])/24 - (6397*t[10])/48 + (877*t[11])/24 + 
       (107*t[12])/48 + (33395*t[13])/864 - (259*t[14])/16 - (791*t[15])/16 - 
       t[16]/2 + (3*t[17])/4 + 3*t[18] + 4*t[19] - 2*t[20] + t[21] - 
       13*t[22] - t[23] + 3*t[24] + t[25]/2 - (2*t[26])/3 - (7*t[27])/6 + 
       (4*t[28])/3 + (8*t[29])/3 - (35*t[30])/3 - 5*t[31] - (83*t[32])/6 - 
       (20*t[33])/3 + (44*t[34])/3 + 7*t[35] + t[36] - 3*t[37] - 
       (3*t[38])/2 + (11*t[39])/6 + (2*t[40])/3 - (25*t[41])/12 + 
       (31*t[42])/12 + (43*t[43])/48 + (91*t[44])/12 - (763*t[45])/24 - 
       2*t[46] + (245*t[47])/4 + (59*t[48])/24 - t[49]/12 + (53*t[50])/8 + 
       (13*t[51])/6 - (311*t[52])/24 - (23*t[53])/12 - (511*t[54])/24 - 
       t[55] + (7*t[58])/3 - (9*t[59])/2 + (727*t[60])/24 - (745*t[61])/24 - 
       (823*t[62])/48 - (5701*t[63])/48 + (657*t[64])/16 + (6467*t[65])/72 - 
       (10823*t[66])/72 + t[67]/2 - 8*t[70] + 8*t[71] + t[72] + 16*t[73] - 
       3*t[74] - 19*t[75] + (83*t[76])/3 - 4*t[77] - (89*t[78])/3 - 4*t[79] + 
       (217*t[80])/3 + 17*t[81] - 4*t[82] - 13*t[83] + (235*t[84])/8 + 
       (1025*t[85])/24 + (151*t[86])/2 - (475*t[87])/24 - (1195*t[88])/48 + 
       (643*t[89])/16 + t[92]/2 - t[94]/2 + 4*t[95] + t[96] - (13*t[97])/3 + 
       140*t[98] - 178*t[99] - 2*t[100] + 6*t[101]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((27*t[1])/4 - (2*t[2])/3 + (259*t[3])/12 + (185*t[4])/6 - 
       (877*t[5])/48 - (219*t[6])/16 - (59*t[7])/2 - (559*t[8])/12 + 
       (1147*t[9])/48 + (357*t[10])/16 + (253*t[11])/48 - (267*t[12])/8 - 
       (85*t[13])/6 + (2693*t[14])/144 - (697*t[15])/32 + t[16]/2 - t[17]/2 - 
       3*t[19] - 8*t[20] - 4*t[21] + 4*t[22] + 4*t[23] - t[24] - 
       (11*t[25])/6 - (4*t[26])/3 + (19*t[27])/3 + (7*t[28])/3 + 
       (7*t[29])/6 - (67*t[30])/6 + (41*t[31])/3 - 10*t[32] - (5*t[33])/2 + 
       (5*t[34])/3 + 6*t[35] + (7*t[36])/2 + (7*t[37])/2 + 6*t[38] + 
       (17*t[39])/3 + (11*t[40])/6 - (7*t[41])/3 + (7*t[42])/3 + 
       (23*t[43])/6 - (17*t[44])/12 + t[45] + (67*t[46])/12 + (7*t[47])/2 - 
       (13*t[48])/16 + (309*t[49])/16 - (317*t[50])/16 - (247*t[51])/12 + 
       (551*t[52])/48 - (233*t[53])/16 - (123*t[54])/16 + t[55]/2 + t[56] + 
       t[58]/3 - (65*t[59])/12 - (127*t[60])/3 - (53*t[61])/2 + 
       (4601*t[62])/48 + (613*t[63])/16 - (353*t[64])/3 + (1591*t[65])/72 - 
       (671*t[66])/24 + t[68]/2 + 2*t[69] - 5*t[70] + 5*t[71] - 17*t[72] - 
       t[74]/2 + 28*t[75] + (67*t[76])/6 + t[77]/6 - (11*t[78])/3 + 8*t[79] - 
       14*t[80] + (43*t[81])/3 - (13*t[82])/3 - 33*t[83] - (7*t[84])/24 + 
       (517*t[85])/24 - (269*t[86])/3 - (177*t[87])/8 - (513*t[88])/16 + 
       (847*t[89])/48 - 2*t[93] + 9*t[95] + 11*t[96] - (11*t[97])/6 + 
       140*t[98] - 178*t[99] - 2*t[100] + 6*t[101]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((79*t[1])/72 - (703*t[2])/36 + (2807*t[3])/288 - (5885*t[4])/288 + 
       (18247*t[5])/576 - (1807*t[6])/72 - (13651*t[7])/288 + 
       (2969*t[8])/96 - (36319*t[9])/576 + (15401*t[10])/576 - 
       (811*t[11])/24 - (178*t[12])/9 - (66473*t[13])/5184 - 
       (128585*t[14])/3456 - (13577*t[15])/3456 - t[16]/2 + t[17]/6 - 
       (7*t[19])/3 + 4*t[20] - t[21] + 10*t[22] + t[23] + (11*t[24])/3 - 
       (73*t[25])/9 - (5*t[26])/12 - (22*t[27])/9 - (73*t[28])/9 - 
       (323*t[29])/36 - (79*t[30])/9 + (29*t[31])/9 - (5*t[32])/18 + 
       (185*t[33])/18 - (113*t[34])/9 + (44*t[35])/3 + (7*t[36])/2 - 
       (7*t[37])/3 + (9*t[38])/4 - 6*t[39] + (5*t[40])/6 - (25*t[41])/18 + 
       (25*t[42])/18 - (77*t[43])/18 + (457*t[44])/72 + (1463*t[45])/72 - 
       (235*t[46])/72 - (145*t[47])/12 + (2837*t[48])/288 + 
       (15713*t[49])/576 - (359*t[50])/32 - (3697*t[51])/1152 + 
       (2879*t[52])/288 - (7481*t[53])/576 + t[54]/9 + t[55]/2 + t[56]/2 + 
       5*t[57] - (35*t[58])/18 + (7*t[59])/36 - (23749*t[60])/288 - 
       (8641*t[61])/288 - (6017*t[62])/576 + (22241*t[63])/576 - 
       (77*t[64])/576 + (5509*t[65])/288 - (11*t[66])/864 + (5*t[68])/3 - 
       (14*t[69])/3 - (10*t[70])/3 + (10*t[71])/3 + (5*t[73])/6 - 
       (21*t[74])/2 - (3*t[75])/2 + (233*t[76])/18 + (275*t[77])/36 - 
       (103*t[78])/9 - (7*t[79])/3 + (16*t[80])/9 + t[81]/9 - (25*t[82])/9 + 
       (17*t[83])/2 - (8479*t[84])/288 - (353*t[85])/96 + (575*t[86])/18 + 
       (3713*t[87])/288 - (9535*t[88])/576 - (17783*t[89])/576 + 
       (28*t[95])/3 + (28*t[96])/3 + (29*t[97])/18 + (190*t[98])/3 - 
       (166*t[99])/3 + (331*t[100])/6 + 8*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-9*t[1])/2 - (13*t[2])/6 - (89*t[3])/12 + (2921*t[4])/24 - 
       (43*t[5])/3 + (261*t[6])/16 - (29*t[7])/4 + (263*t[8])/12 + 
       (37*t[9])/12 - (29*t[10])/16 + (3271*t[11])/48 + (145*t[12])/16 + 
       (3199*t[13])/72 + (7177*t[14])/288 - (1057*t[15])/144 + (3*t[16])/2 + 
       (31*t[25])/6 + (31*t[26])/6 - (2*t[27])/3 + (4*t[28])/3 + 
       (2*t[29])/3 - (2*t[30])/3 - (16*t[31])/3 + 2*t[33] - t[34]/3 - 
       4*t[35] - 4*t[36] - (3*t[37])/2 - 7*t[38] - (4*t[39])/3 + t[40]/3 + 
       t[41]/6 - t[42]/6 - (2*t[43])/3 - (2*t[44])/3 + t[45] - 
       (77*t[46])/12 - t[47] + (181*t[48])/16 - (155*t[49])/16 - 
       (83*t[50])/16 - (167*t[51])/96 + (185*t[52])/48 - (137*t[53])/16 - 
       (551*t[54])/16 + t[58]/3 + (31*t[59])/3 + (1481*t[60])/12 + 
       (541*t[61])/8 - (1055*t[62])/24 - (503*t[63])/4 - (8111*t[64])/48 + 
       (1255*t[65])/72 - (2153*t[66])/24 + t[67]/2 + 5*t[69] - 7*t[70] + 
       7*t[71] + 2*t[72] + 10*t[74] + 10*t[75] - (43*t[76])/3 + (2*t[77])/3 + 
       (52*t[78])/3 + 2*t[79] - 4*t[80] - (59*t[81])/12 - (37*t[82])/12 - 
       25*t[83] + (1061*t[84])/24 + (91*t[85])/6 + (4*t[86])/3 - 
       (153*t[87])/4 + (75*t[88])/8 + (1705*t[89])/48 - 10*t[95] - 6*t[96] + 
       (5*t[97])/3 - 88*t[98] + 112*t[99] - 61*t[100] + 12*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((11*t[1])/3 + (395*t[2])/24 + (43*t[3])/4 + (809*t[4])/24 - 
       (145*t[5])/12 + (49*t[6])/12 - (361*t[7])/6 - (769*t[8])/24 - 
       (889*t[9])/24 - (619*t[10])/48 - (523*t[11])/12 - (1039*t[12])/48 - 
       (19829*t[13])/432 - (2995*t[14])/96 + (239*t[15])/36 - (3*t[17])/4 - 
       2*t[18] - 6*t[21] + 6*t[23] - 2*t[24] + t[26]/3 - (2*t[27])/3 + 
       (4*t[28])/3 + (2*t[29])/3 - (8*t[30])/3 + t[31] - (4*t[32])/3 + 
       (4*t[33])/3 - (19*t[34])/3 + 8*t[35] - 4*t[37] - t[38] - (2*t[39])/3 + 
       (2*t[40])/3 - (23*t[41])/6 + t[42]/3 + (163*t[43])/12 - (2*t[44])/3 + 
       t[45]/12 + (15*t[46])/4 - (47*t[47])/2 + (185*t[48])/24 - 
       (199*t[49])/48 + (3*t[50])/8 - (263*t[51])/96 + (175*t[52])/24 + 
       (151*t[53])/48 - (17*t[54])/12 + t[58]/3 + (17*t[59])/2 - 
       (145*t[60])/3 - (1865*t[61])/12 + (919*t[62])/6 - (25*t[63])/12 - 
       (911*t[64])/8 - (1705*t[65])/18 + (2365*t[66])/18 + 2*t[67] + 
       5*t[69] - 3*t[70] + 3*t[71] + 22*t[74] - 4*t[75] - (46*t[76])/3 - 
       3*t[77] + (28*t[78])/3 + (34*t[80])/3 - (17*t[81])/2 - 2*t[82] + 
       3*t[83] - (31*t[84])/4 - (85*t[85])/6 - (55*t[86])/2 + (70*t[87])/3 + 
       (35*t[88])/3 - 27*t[89] - (3*t[94])/2 - t[97]/3 - 100*t[98] + 
       124*t[99] - 22*t[100] + 12*t[101]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-13*t[1])/2 + (79*t[2])/4 + (683*t[3])/8 - 
       (113*t[4])/4 - (111*t[5])/4 - 78*t[6] - (387*t[7])/8 - (1101*t[8])/8 - 
       (277*t[9])/8 + (145*t[10])/2 - (1427*t[11])/8 - (133*t[12])/8 - 
       (13505*t[13])/144 - (2963*t[14])/16 - (2339*t[15])/72 + t[16] - 
       t[17]/2 - 8*t[18] - 4*t[19] - 2*t[20] - 14*t[21] + 5*t[22] + 
       14*t[23] - 12*t[24] + 3*t[25] + 15*t[27] - 12*t[28] + (7*t[29])/2 - 
       2*t[30] - 2*t[31] - (17*t[32])/2 - 6*t[33] - 4*t[34] + 12*t[35] - 
       2*t[36] + 8*t[37] - 3*t[38] - 7*t[39] - (5*t[40])/2 - (15*t[41])/2 + 
       3*t[42] + (19*t[43])/8 - (7*t[44])/4 - (21*t[45])/4 + 6*t[46] + 
       (23*t[47])/2 - (147*t[48])/8 - (123*t[49])/8 + (141*t[50])/8 + 
       (51*t[51])/16 - (37*t[52])/8 + (83*t[53])/8 - (205*t[54])/8 + 
       2*t[55] + (3*t[59])/2 - (1237*t[60])/4 - 445*t[61] + (399*t[62])/2 + 
       (119*t[63])/2 + (57*t[64])/4 + (263*t[65])/6 + 362*t[66] - t[67] + 
       2*t[69] + 12*t[70] - 11*t[71] - 14*t[72] - 6*t[73] + 2*t[74] + 
       6*t[75] - 27*t[76] - 3*t[77] + 11*t[78] + 14*t[79] - 83*t[80] - 
       36*t[81] + 42*t[82] + 43*t[83] - 68*t[84] - t[85]/2 + 12*t[86] + 
       137*t[87] + (107*t[88])/2 + (125*t[89])/8 - t[92] + t[94] + 8*t[95] - 
       2*t[96] - 8*t[97] - 156*t[98] + 120*t[99] + 514*t[100] + 24*t[101]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*((-11*t[1])/2 - 36*t[2] + 
       (457*t[3])/8 + (239*t[4])/4 + (89*t[5])/2 - (33*t[6])/2 - 
       (55*t[7])/4 - (377*t[8])/4 - (291*t[9])/4 + (497*t[10])/4 - 
       (25*t[11])/4 - (67*t[12])/4 + (229*t[13])/72 - (985*t[14])/16 - 
       (1159*t[15])/144 - t[16] - 14*t[19] + 20*t[20] - 8*t[21] + 8*t[23] - 
       6*t[24] + 9*t[25] + t[26] + 10*t[27] - 8*t[28] + (9*t[29])/2 - 
       4*t[30] + 4*t[31] - (27*t[32])/2 + 14*t[33] - 12*t[34] + 8*t[35] - 
       3*t[36] + t[37] - 5*t[38] - 12*t[39] - t[40] - 6*t[41] + 6*t[42] + 
       t[43]/4 + (47*t[44])/4 + 16*t[45] - (21*t[46])/2 - 10*t[47] - 
       (63*t[48])/4 + 10*t[49] - (3*t[50])/4 - (67*t[51])/16 - (17*t[52])/4 - 
       (45*t[53])/2 - (333*t[54])/4 - t[55] + 4*t[57] + t[58] + 3*t[59] + 
       (49*t[60])/2 - (495*t[61])/4 + (77*t[62])/2 - (95*t[63])/2 - 
       (1497*t[64])/8 + (82*t[65])/3 + (183*t[66])/2 - t[68] + 16*t[69] + 
       2*t[70] - t[71] - 20*t[72] - 6*t[73] - 13*t[74] + 26*t[75] - 
       35*t[76] + 11*t[77] + 29*t[78] - 24*t[79] - 92*t[80] - 16*t[81] - 
       7*t[82] - 22*t[83] - 21*t[84] + 17*t[85] - 59*t[86] - 24*t[87] + 
       3*t[88] + (557*t[89])/8 + 2*t[93] - 2*t[95] - 4*t[96] - 2*t[97] - 
       156*t[98] + 120*t[99] + 514*t[100] + 24*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*((21*t[1])/2 + 30*t[2] - 
       (235*t[3])/4 - (369*t[4])/4 - (949*t[5])/8 - (657*t[6])/8 + 
       (65*t[7])/4 + (101*t[8])/4 - (773*t[9])/8 + (731*t[10])/8 - 
       (131*t[11])/8 + (499*t[12])/4 - (2713*t[13])/24 + (375*t[14])/16 + 
       (1995*t[15])/16 - 6*t[25] + 4*t[26] + 2*t[27] - 72*t[28] - 18*t[29] + 
       12*t[31] + 6*t[32] - 6*t[33] - 3*t[34] - 36*t[35] + 36*t[36] + 
       5*t[37] + 2*t[38] + 26*t[39] - 13*t[40] + (3*t[41])/2 - (3*t[42])/2 + 
       (15*t[43])/2 + 15*t[44] + 6*t[45] - 9*t[46] - 6*t[47] + 
       (179*t[48])/8 - (385*t[49])/8 + (487*t[50])/8 + (2581*t[51])/48 - 
       (463*t[52])/8 + (829*t[53])/8 + (891*t[54])/8 - 3*t[58] + 
       (55*t[59])/6 - (827*t[60])/2 + (1313*t[61])/2 + (439*t[62])/2 + 
       (2597*t[63])/4 + (2153*t[64])/4 - (73*t[65])/3 - 108*t[66] - 
       13*t[68] - 18*t[70] + 18*t[71] - 18*t[72] + 72*t[73] - 18*t[74] - 
       132*t[75] - t[76] - 23*t[77] + 86*t[78] + 138*t[79] - 12*t[80] + 
       t[81] + 74*t[82] + 246*t[83] - (131*t[84])/2 - 104*t[85] - 156*t[86] + 
       (603*t[87])/2 + (291*t[88])/4 - (1541*t[89])/4 + 12*t[95] + 36*t[96] + 
       3*t[97] - 480*t[98] + 444*t[99] - 246*t[100] - 36*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*
      ((-325*t[1])/6 + (119*t[2])/2 + (197*t[3])/2 + (123*t[4])/4 - 
       (929*t[5])/4 - (611*t[6])/3 + (713*t[7])/4 + (237*t[8])/2 + 
       (261*t[9])/2 - (1141*t[10])/8 + (1119*t[11])/4 + (2373*t[12])/8 + 
       (787*t[13])/8 + (17935*t[14])/48 + (59*t[15])/24 - 39*t[17] + 
       19*t[18] + 60*t[20] + 18*t[21] - 3*t[22] - 19*t[23] + 18*t[24] + 
       115*t[25] + 4*t[26] + 53*t[27] + 60*t[28] - 24*t[29] - 12*t[30] + 
       2*t[32] - 42*t[33] + 43*t[34] - 24*t[35] + 6*t[36] + 12*t[37] - 
       38*t[38] + 84*t[39] - 53*t[40] + (89*t[41])/2 - (217*t[42])/6 - 
       (217*t[43])/4 - 3*t[44] - 12*t[45] - 4*t[46] + 19*t[47] - 
       (207*t[48])/4 - (547*t[49])/8 + (93*t[50])/4 - (35*t[51])/16 + 
       (91*t[52])/4 + (499*t[53])/8 + (147*t[54])/2 - 8*t[57] + 3*t[58] + 
       (37*t[59])/3 + (573*t[60])/2 + 759*t[61] - (833*t[62])/2 - 139*t[63] + 
       86*t[64] + (5027*t[65])/6 - (2636*t[66])/3 + 6*t[68] - 36*t[70] + 
       36*t[71] + 36*t[72] + 144*t[73] - 12*t[74] + 192*t[75] - 86*t[76] + 
       4*t[77] + 80*t[78] - 72*t[79] + 100*t[80] + 89*t[81] - 91*t[82] + 
       66*t[83] + 128*t[84] + (87*t[85])/2 + 273*t[86] - (683*t[87])/2 - 
       (683*t[88])/4 - 179*t[89] - t[91] + 6*t[93] + 6*t[97] - 480*t[98] + 
       444*t[99] - 246*t[100] - 36*t[102]) + HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*(-8*t[1] + (43*t[2])/2 + 
       (233*t[3])/2 + (263*t[4])/6 + (731*t[5])/4 - (765*t[6])/4 - 375*t[7] - 
       (769*t[8])/3 - (2427*t[9])/4 + (6451*t[10])/12 - (3749*t[11])/12 - 
       (521*t[12])/2 - (4574*t[13])/27 - (1967*t[14])/8 + (8845*t[15])/72 + 
       4*t[16] - 2*t[17] - 4*t[18] + (16*t[19])/3 + 4*t[20] - 4*t[21] - 
       (14*t[22])/3 + 4*t[23] + 12*t[24] - 4*t[25] + (4*t[26])/3 + 26*t[27] + 
       4*t[29] + 12*t[30] + 8*t[31] - (32*t[32])/3 + (58*t[33])/3 - 
       (172*t[34])/3 - 4*t[35] - (10*t[36])/3 - (32*t[37])/3 + (98*t[38])/3 - 
       20*t[39] + (164*t[40])/3 + (22*t[41])/3 - (28*t[42])/3 + 
       (277*t[43])/6 + 36*t[44] + (368*t[45])/3 + (148*t[46])/3 - 
       (908*t[47])/3 - (1351*t[48])/12 - (487*t[49])/12 + (593*t[50])/12 - 
       (553*t[51])/24 - (1121*t[52])/12 + (73*t[53])/4 - (967*t[54])/12 - 
       8*t[58] - (50*t[59])/3 - (4063*t[60])/12 - (1785*t[61])/4 + 
       635*t[62] - (911*t[63])/2 - (3423*t[64])/8 - (3754*t[65])/9 + 
       (32201*t[66])/36 - 4*t[68] + 16*t[69] + 22*t[70] - 22*t[71] + 
       34*t[72] + 98*t[73] + (88*t[74])/3 - 98*t[75] - (158*t[76])/3 - 
       (2*t[77])/3 + 68*t[78] + 14*t[79] - (1061*t[80])/3 - (283*t[81])/3 + 
       (134*t[82])/3 + 187*t[83] - (1319*t[84])/12 - (829*t[85])/12 - 
       (2465*t[86])/6 + (4705*t[87])/12 + (1707*t[88])/8 - (1793*t[89])/24 - 
       t[91]/3 + 4*t[93] - (32*t[95])/3 - 16*t[96] - 18*t[97] - 344*t[98] + 
       160*t[99] + 612*t[100] - 20*t[102]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*(3*t[1] + (91*t[2])/4 - (821*t[3])/24 - 
       (463*t[4])/8 - (2975*t[5])/48 - (1337*t[6])/48 - (317*t[7])/24 + 
       (29*t[8])/8 - (2063*t[9])/48 + (2539*t[10])/48 - (721*t[11])/16 + 
       (385*t[12])/6 - (32137*t[13])/432 + (2581*t[14])/288 + 
       (5929*t[15])/96 + (2*t[16])/3 - 6*t[25] + (25*t[26])/3 + (4*t[27])/3 - 
       28*t[28] - 9*t[29] + 2*t[31] + 3*t[32] - 3*t[33] - t[34] - 18*t[35] + 
       (62*t[36])/3 + 4*t[37] - (7*t[38])/3 + 13*t[39] - (49*t[40])/6 + 
       t[41]/2 - t[42]/2 + (15*t[43])/4 + (15*t[44])/2 + (23*t[45])/6 - 
       (23*t[46])/6 - (14*t[47])/3 + (269*t[48])/16 - (383*t[49])/16 + 
       (633*t[50])/16 + (2707*t[51])/96 - (1435*t[52])/48 + (935*t[53])/16 + 
       (3071*t[54])/48 - t[58] + (15*t[59])/2 - (1225*t[60])/6 + 
       (3113*t[61])/12 + 211*t[62] + (699*t[63])/2 + (4717*t[64])/24 - 
       (17*t[65])/9 - (313*t[66])/36 - (16*t[68])/3 - (38*t[70])/3 + 
       (38*t[71])/3 - 13*t[72] + 88*t[73] - (31*t[74])/3 - 128*t[75] - 
       (13*t[76])/3 - (85*t[77])/6 + 46*t[78] + 77*t[79] - (34*t[80])/3 + 
       (5*t[81])/6 + (211*t[82])/6 + 100*t[83] - (299*t[84])/12 - 
       (127*t[85])/3 - (485*t[86])/3 + (871*t[87])/6 + (307*t[88])/12 - 
       (689*t[89])/4 + (26*t[95])/3 + (56*t[96])/3 - (10*t[97])/3 - 
       108*t[98] + 76*t[99] - 159*t[100] - 18*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      ((-68*t[1])/3 + (65*t[2])/12 + (33*t[3])/2 + (1021*t[4])/24 - 
       (2675*t[5])/24 - (2249*t[6])/24 + (819*t[7])/8 + (2509*t[8])/24 + 
       (329*t[9])/3 - (5983*t[10])/48 + (1563*t[11])/8 + (2503*t[12])/16 + 
       (24901*t[13])/216 + (6015*t[14])/32 - (2587*t[15])/144 - (2*t[16])/3 - 
       (40*t[17])/3 + (38*t[18])/3 + 20*t[20] + (38*t[21])/3 + 3*t[22] - 
       14*t[23] + (38*t[24])/3 + (176*t[25])/3 + 2*t[26] + (82*t[27])/3 + 
       36*t[28] - 12*t[29] - 6*t[30] - 2*t[31] + t[32]/3 - 13*t[33] + 
       (61*t[34])/3 - 4*t[35] + (5*t[36])/3 + 14*t[37] - (52*t[38])/3 + 
       41*t[39] - (76*t[40])/3 + (41*t[41])/2 - (91*t[42])/6 - 
       (943*t[43])/24 - (7*t[44])/3 - (13*t[45])/6 - t[46] + 21*t[47] - 
       (425*t[48])/24 - (441*t[49])/16 + (151*t[50])/24 - (235*t[51])/96 + 
       (145*t[52])/24 + (393*t[53])/16 + (67*t[54])/3 + t[56]/3 - 4*t[57] + 
       3*t[58] + 8*t[59] + (321*t[60])/2 + (1246*t[61])/3 - (6227*t[62])/24 - 
       (4537*t[63])/24 + (623*t[64])/4 + (15947*t[65])/36 - (5573*t[66])/9 + 
       (2*t[67])/3 + (14*t[68])/3 - (76*t[70])/3 + (76*t[71])/3 + 4*t[72] + 
       128*t[73] - (22*t[74])/3 + 32*t[75] - 18*t[76] + (7*t[77])/3 + 
       (40*t[78])/3 - 28*t[79] + (169*t[80])/3 + (152*t[81])/3 - 
       (197*t[82])/3 + 26*t[83] + (205*t[84])/3 + 39*t[85] + (421*t[86])/2 - 
       183*t[87] - (183*t[88])/2 - (119*t[89])/3 - (2*t[91])/3 + 
       (2*t[92])/3 + 2*t[93] - (2*t[94])/3 + 2*t[97] - 108*t[98] + 76*t[99] - 
       159*t[100] - 18*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*(-38*t[1] + 25*t[2] - 33*t[3] - 
       (249*t[4])/2 + (659*t[5])/4 - (197*t[6])/2 + 21*t[7] - (153*t[8])/2 - 
       (273*t[9])/4 + (349*t[10])/4 + 16*t[11] + 88*t[12] + (119*t[13])/3 + 
       (2149*t[14])/24 + (6157*t[15])/72 + 8*t[22] + 16*t[25] - 22*t[26] + 
       24*t[27] - 4*t[28] - 12*t[29] - 6*t[30] - 8*t[31] - 8*t[32] + 
       8*t[33] + 42*t[34] - 28*t[35] + 4*t[36] + 16*t[37] - 12*t[38] - 
       12*t[39] + 16*t[40] - 5*t[41] + 5*t[42] - (9*t[43])/2 + 20*t[44] - 
       (41*t[45])/2 + 22*t[46] - 11*t[47] - (95*t[48])/2 - (51*t[49])/4 - 
       (19*t[50])/2 + (9*t[51])/8 - (33*t[52])/2 + (35*t[53])/4 + 15*t[54] - 
       10*t[58] - 5*t[59] + 47*t[60] + (215*t[61])/2 - 2*t[62] + 172*t[63] + 
       (1103*t[64])/4 + 57*t[65] - (225*t[66])/2 + 4*t[68] + 8*t[69] + 
       48*t[72] + 24*t[73] + 8*t[74] + 8*t[75] + 82*t[76] - 12*t[77] - 
       25*t[78] - 4*t[79] + 132*t[80] + 59*t[81] + 32*t[82] + 16*t[83] + 
       23*t[84] + 65*t[85] - 5*t[86] - 205*t[87] - (205*t[88])/2 - 
       (357*t[89])/2 + 4*t[93] + 14*t[97] + 168*t[98] - 192*t[99] - 
       176*t[100] - 12*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*(25*t[1] - 22*t[2] - (637*t[3])/12 + 
       (529*t[4])/12 + (563*t[5])/8 + (61*t[6])/2 - (3391*t[7])/12 - 
       (805*t[8])/12 - (2861*t[9])/24 + (4943*t[10])/24 + (265*t[11])/6 - 
       80*t[12] + (1315*t[13])/24 + (9647*t[14])/144 + (13301*t[15])/144 + 
       28*t[25] - 64*t[26] - 8*t[27] + 4*t[28] + 4*t[29] - 14*t[30] - 
       28*t[31] - 4*t[32] + 4*t[33] + 4*t[34] - 66*t[35] - 20*t[36] - 
       20*t[37] + 24*t[38] + 4*t[40] - 2*t[41] + 2*t[42] + (115*t[43])/6 - 
       12*t[44] + 10*t[45] - 3*t[46] - 24*t[47] + (311*t[48])/4 + 
       (331*t[49])/24 - (259*t[50])/12 + (1007*t[51])/48 + (19*t[52])/12 - 
       (91*t[53])/24 - (4*t[54])/3 - 4*t[58] + 12*t[59] + (827*t[60])/4 + 
       (1543*t[61])/4 + (2633*t[62])/24 + (14359*t[63])/24 - (31*t[64])/24 + 
       (1081*t[65])/36 - (4081*t[66])/36 - 8*t[68] + 8*t[69] - 64*t[72] + 
       12*t[73] + 2*t[74] + 44*t[75] + 32*t[76] + 14*t[77] + 5*t[78] + 
       76*t[79] + 50*t[80] + 64*t[81] + 31*t[82] - (4*t[83])/3 + 
       (1031*t[84])/12 - (755*t[85])/12 - (1604*t[86])/3 - (1529*t[87])/12 - 
       (1529*t[88])/24 - (1489*t[89])/24 - 4*t[93] + 12*t[96] + 24*t[97] + 
       168*t[98] - 192*t[99] - 176*t[100] - 12*t[102]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((27*t[1])/4 + (673*t[2])/8 + (473*t[3])/16 + (1627*t[4])/16 + 
       (161*t[5])/32 + (701*t[6])/32 - (1227*t[7])/16 - (1659*t[8])/16 + 
       (217*t[9])/32 + (1371*t[10])/32 + (2075*t[11])/32 - (75*t[12])/8 + 
       (9563*t[13])/288 + (5777*t[14])/64 - (22009*t[15])/192 - 3*t[18] + 
       12*t[19] - 15*t[20] - 12*t[21] + 3*t[22] - 6*t[25] - 27*t[27] + 
       39*t[28] - (27*t[29])/2 - 60*t[30] - (87*t[32])/2 + (21*t[33])/2 + 
       45*t[34] - 9*t[35] - (57*t[36])/2 - 15*t[37] + 39*t[39] - 
       (147*t[40])/4 - t[41]/2 + (13*t[42])/2 - (85*t[43])/8 - 
       (105*t[44])/2 - (219*t[45])/4 - (51*t[46])/4 + (219*t[47])/2 - 
       (2115*t[48])/32 + (2283*t[49])/32 - (2631*t[50])/32 - 
       (1923*t[51])/64 + (3015*t[52])/32 - (1707*t[53])/32 + (465*t[54])/32 - 
       (113*t[59])/4 + (907*t[60])/8 - (511*t[61])/8 - (201*t[62])/16 + 
       (781*t[63])/16 + (2061*t[64])/16 - (1276*t[65])/3 - (2207*t[66])/6 + 
       6*t[68] + 3*t[69] - 9*t[70] + 9*t[71] + 12*t[72] + 12*t[73] + 
       3*t[74] - 39*t[75] + 57*t[76] - (65*t[77])/2 - 96*t[78] + 15*t[79] + 
       58*t[80] + (369*t[81])/4 - (11*t[82])/4 + 53*t[83] - (105*t[84])/8 - 
       (279*t[85])/4 + 13*t[86] - (687*t[87])/4 - (1191*t[88])/8 - 
       (3903*t[89])/16 + 6*t[95] + (75*t[96])/2 + (15*t[97])/2 + 414*t[98] - 
       702*t[99] + (81*t[100])/2 - 9*t[102]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-21*t[1])/4 + (507*t[2])/8 + (745*t[3])/16 + 
       (197*t[4])/2 - (2577*t[5])/16 - (2597*t[6])/32 + (4183*t[7])/16 - 
       (4241*t[8])/16 + (3349*t[9])/16 + (33*t[10])/16 + (1663*t[11])/32 + 
       (323*t[12])/16 + (6775*t[13])/96 + (5825*t[14])/96 - (3257*t[15])/48 + 
       (9*t[17])/4 + 14*t[18] - 4*t[19] + 15*t[20] + 6*t[21] - 27*t[22] - 
       6*t[23] + (15*t[24])/2 + 3*t[25] - 18*t[27] + 27*t[28] + 
       (135*t[29])/4 - (51*t[30])/2 + 12*t[31] - 15*t[32] - (9*t[33])/2 + 
       42*t[34] - 5*t[35] - (9*t[36])/2 + 12*t[37] - (9*t[38])/2 + 24*t[39] - 
       6*t[40] + (9*t[41])/2 - (3*t[42])/2 - (39*t[43])/16 + (393*t[44])/8 + 
       (27*t[45])/2 - (15*t[46])/4 - 54*t[47] - (1205*t[48])/32 + 
       (265*t[49])/8 + (2399*t[50])/32 - (175*t[51])/8 - (2591*t[52])/32 - 
       (145*t[53])/8 - (1759*t[54])/32 - (9*t[56])/2 - 9*t[57] - 8*t[59] + 
       (835*t[60])/16 + (4099*t[61])/16 - (571*t[62])/32 + (8635*t[63])/32 - 
       (8561*t[64])/32 - (601*t[65])/16 - (11995*t[66])/48 - (39*t[68])/4 - 
       59*t[69] + 13*t[70] - 13*t[71] + 51*t[72] + 108*t[73] + 19*t[74] - 
       75*t[75] + (235*t[76])/2 - (69*t[77])/2 - (423*t[78])/4 - 
       (289*t[79])/2 + 36*t[80] + 58*t[81] + (351*t[82])/4 + 34*t[83] - 
       (3*t[84])/16 + (695*t[85])/16 - (277*t[86])/4 - (631*t[87])/16 - 
       (2599*t[88])/32 - (4381*t[89])/32 - (9*t[90])/4 - t[91]/4 + 3*t[93] + 
       6*t[95] + 27*t[96] + 12*t[97] + 414*t[98] - 702*t[99] + 
       (81*t[100])/2 - 9*t[102]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((139*t[1])/6 + (77*t[2])/24 - (1363*t[3])/16 + 
       (15113*t[4])/96 - (5927*t[5])/96 + (2909*t[6])/24 - (6005*t[7])/48 + 
       (8957*t[8])/48 - (575*t[9])/32 - (3143*t[10])/192 + (3877*t[11])/48 - 
       (4179*t[12])/64 + (583*t[13])/18 + (135607*t[14])/1152 - 
       (157*t[15])/8 - (2*t[16])/3 + t[17] - (2*t[18])/3 - (4*t[19])/3 - 
       4*t[20] + (13*t[21])/3 + (55*t[22])/3 - (13*t[23])/3 + (13*t[24])/3 + 
       t[25]/3 - (5*t[26])/12 - (58*t[27])/3 + 4*t[28] - (23*t[29])/6 + 
       (85*t[30])/6 - (25*t[31])/3 - 16*t[32] + 17*t[33] - (187*t[34])/3 - 
       (22*t[35])/3 + 21*t[36] - 6*t[37] + (181*t[38])/12 - (31*t[39])/3 + 
       (57*t[40])/2 + (29*t[41])/6 - (31*t[42])/6 + (111*t[43])/8 - 
       (91*t[44])/4 + (57*t[45])/2 - (179*t[46])/12 + 10*t[47] + 
       (1715*t[48])/16 + (1477*t[49])/64 - (1627*t[50])/48 + 
       (2885*t[51])/384 + (313*t[52])/16 - (2623*t[53])/192 + 
       (5861*t[54])/96 + (2*t[56])/3 - (2*t[57])/3 + (29*t[58])/3 + 
       (49*t[59])/8 + (14303*t[60])/96 + (41447*t[61])/96 + 
       (30659*t[62])/192 - (12395*t[63])/192 + (29231*t[64])/192 - 
       (77303*t[65])/288 - (123541*t[66])/288 + t[67] - (11*t[68])/3 - 
       4*t[69] - (4*t[70])/3 + (4*t[71])/3 - (115*t[72])/3 + 60*t[73] + 
       (215*t[74])/6 - (190*t[75])/3 - 51*t[76] - (97*t[77])/6 + 
       (145*t[78])/6 + (17*t[79])/2 + (85*t[80])/2 - (35*t[81])/12 - 
       (327*t[82])/4 - (337*t[83])/6 + (5597*t[84])/96 - (12331*t[85])/96 - 
       (263*t[86])/2 + (1695*t[87])/32 + (2621*t[88])/192 - (441*t[89])/64 - 
       t[91]/6 + t[92] - t[94] + (8*t[95])/3 + (32*t[96])/3 - (71*t[97])/6 - 
       477*t[98] + 605*t[99] - (771*t[100])/2 - 6*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((91*t[1])/12 + (239*t[2])/12 - (167*t[3])/24 + (2111*t[4])/24 - 
       (1793*t[5])/16 + (4051*t[6])/48 - (253*t[7])/12 + (101*t[8])/3 + 
       (997*t[9])/16 - (765*t[10])/16 + (55*t[11])/48 - (16*t[12])/3 + 
       (863*t[13])/108 - (8645*t[14])/288 - (10723*t[15])/288 + (2*t[16])/3 - 
       2*t[18] - t[19] - t[20] - t[21] + 3*t[23] - 2*t[24] - 8*t[25] + 
       (13*t[26])/3 - 8*t[27] - 2*t[28] + 11*t[29] - 28*t[30] - 5*t[31] + 
       (7*t[32])/3 - (7*t[33])/3 - (31*t[34])/6 + 7*t[36] - (32*t[37])/3 + 
       (41*t[38])/6 + 10*t[39] - (34*t[40])/3 - (5*t[41])/12 - (7*t[42])/12 - 
       (541*t[43])/24 + (25*t[44])/2 - (91*t[45])/12 - 22*t[46] + 
       (23*t[47])/2 + (3049*t[48])/48 + (115*t[49])/48 + (277*t[50])/48 + 
       (503*t[51])/32 + (1075*t[52])/48 - (129*t[53])/16 - (1507*t[54])/48 + 
       (14*t[58])/3 - (47*t[59])/6 - (99*t[60])/4 + (587*t[61])/12 + 
       (3947*t[62])/24 - (2983*t[63])/24 + (1105*t[64])/24 + 
       (1879*t[65])/36 - (413*t[66])/12 + 6*t[68] + 2*t[69] + (2*t[70])/3 - 
       (2*t[71])/3 - 6*t[72] + 74*t[73] - (8*t[74])/3 - 74*t[75] - 22*t[76] - 
       (16*t[77])/3 + (67*t[78])/3 + 21*t[79] - (217*t[80])/3 + 16*t[81] - 
       (137*t[82])/6 - 50*t[83] + (101*t[84])/2 + (47*t[85])/2 - 
       (302*t[86])/3 + (707*t[87])/6 + (207*t[88])/4 + (173*t[89])/8 - 
       (20*t[95])/3 - (14*t[96])/3 - (25*t[97])/3 - 100*t[98] + 36*t[99] - 
       310*t[100] - 6*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((31*t[1])/12 - (5*t[2])/12 - (1027*t[3])/12 + 
       (693*t[4])/8 - (1537*t[5])/12 + 114*t[6] - 5*t[7] + (439*t[8])/4 + 
       (727*t[9])/4 + (67*t[10])/16 + (307*t[11])/6 + (661*t[12])/48 + 
       (16061*t[13])/216 + (51239*t[14])/288 - (2099*t[15])/48 - 
       (5*t[16])/3 - (5*t[17])/3 - (8*t[18])/3 + (38*t[19])/3 - 28*t[20] + 
       (4*t[21])/3 + 13*t[22] - (4*t[23])/3 - (8*t[24])/3 + 17*t[25] - 
       (8*t[26])/3 - 3*t[27] + 10*t[28] + 2*t[29] - 25*t[30] + 12*t[31] - 
       (4*t[32])/3 - (14*t[33])/3 - (65*t[34])/6 + 10*t[35] + (8*t[36])/3 - 
       (7*t[37])/3 + (7*t[38])/6 + (56*t[39])/3 - (25*t[40])/2 + 
       (67*t[41])/12 - (83*t[42])/12 - (61*t[43])/12 - (79*t[44])/6 - 
       (113*t[45])/12 + (3*t[46])/2 + (53*t[47])/2 + (45*t[48])/2 - 
       (445*t[49])/48 - (97*t[50])/3 - (703*t[51])/96 + (241*t[52])/6 + 
       (109*t[53])/48 + (1559*t[54])/24 + (2*t[56])/3 + (4*t[57])/3 + 
       4*t[58] - (16*t[59])/3 + (779*t[60])/6 + (725*t[61])/4 + 
       (88*t[62])/3 - (1115*t[63])/6 + (1549*t[64])/24 + (949*t[65])/36 - 
       (931*t[66])/3 + (7*t[67])/3 + 5*t[68] - 8*t[69] + (10*t[70])/3 - 
       (10*t[71])/3 + 12*t[72] + 72*t[73] + (67*t[74])/3 - 68*t[75] - 
       (73*t[76])/3 - (43*t[77])/3 - 3*t[79] - (221*t[80])/3 + (49*t[81])/2 - 
       (337*t[82])/6 - 66*t[83] + (173*t[84])/3 + (11*t[85])/12 - 
       (271*t[86])/6 - (195*t[87])/4 - (119*t[88])/8 + (148*t[89])/3 - 
       t[91]/3 + (5*t[92])/3 + 2*t[93] - (7*t[94])/3 - 2*t[95] - 2*t[96] - 
       (11*t[97])/3 - 100*t[98] + 36*t[99] - 310*t[100] - 6*t[102]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-223*t[1])/24 + (160*t[2])/3 - (3307*t[3])/96 - (791*t[4])/48 - 
       (5527*t[5])/64 + (5061*t[6])/32 + (4991*t[7])/96 + (26057*t[8])/96 + 
       (23081*t[9])/192 - (710*t[10])/3 + (1933*t[11])/96 + 
       (3419*t[12])/192 + (66571*t[13])/1728 + (37159*t[14])/288 - 
       (58507*t[15])/1152 + (5*t[16])/3 + (11*t[18])/3 - 2*t[19] + 5*t[20] + 
       (14*t[21])/3 - (4*t[22])/3 - (14*t[23])/3 + (8*t[24])/3 + 
       (26*t[25])/3 + t[26] - (28*t[27])/3 - (17*t[28])/3 - 5*t[29] + 
       (7*t[30])/6 + 4*t[31] + (19*t[32])/3 - (19*t[33])/3 + 21*t[34] + 
       (130*t[35])/3 + (16*t[36])/3 - (68*t[37])/3 - (35*t[38])/3 + 9*t[39] - 
       (97*t[40])/6 - 6*t[41] + (19*t[42])/3 - (293*t[43])/48 - 
       (19*t[44])/2 - (709*t[45])/24 - (41*t[46])/2 + (797*t[47])/12 + 
       68*t[48] - (6163*t[49])/96 + (415*t[50])/12 + (2387*t[51])/192 + 
       (31*t[52])/4 + (625*t[53])/32 + (419*t[54])/16 + (15*t[58])/2 - 
       (493*t[59])/24 + (4213*t[60])/48 + (3543*t[61])/16 + (1639*t[62])/32 - 
       (1433*t[63])/96 + (2245*t[64])/96 + (16019*t[65])/72 - 
       (2849*t[66])/24 + 11*t[68] - (34*t[69])/3 - (5*t[70])/3 + 
       (5*t[71])/3 - 27*t[72] + (167*t[73])/3 - (8*t[74])/3 - (179*t[75])/3 - 
       (523*t[76])/6 - (61*t[77])/4 + (446*t[78])/3 - 3*t[79] + 
       (421*t[80])/6 - (5*t[81])/3 + (443*t[82])/12 + (77*t[83])/2 + 
       (2317*t[84])/16 + (2927*t[85])/48 + (769*t[86])/6 + (5927*t[87])/48 + 
       (7079*t[88])/96 - (2525*t[89])/96 - (70*t[95])/3 - (128*t[96])/3 - 
       31*t[97] - 515*t[98] + 643*t[99] - 262*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((95*t[1])/6 + (61*t[2])/12 - (431*t[3])/24 + (149*t[4])/24 + 
       (253*t[5])/12 - (1399*t[6])/48 - (1201*t[7])/24 + (521*t[8])/24 - 
       (493*t[9])/12 + (2659*t[10])/48 + (1733*t[11])/48 - (767*t[12])/48 + 
       (10351*t[13])/432 + (1087*t[14])/96 - (38*t[15])/3 - (2*t[16])/3 + 
       (14*t[17])/3 - 18*t[20] + (26*t[21])/3 + (38*t[22])/3 - 10*t[23] + 
       (31*t[24])/3 - (20*t[25])/3 - (5*t[26])/3 + (44*t[27])/3 + 
       (56*t[28])/3 - (43*t[29])/6 + (41*t[30])/3 - (92*t[31])/3 - 3*t[32] + 
       11*t[33] - (11*t[34])/3 - 42*t[35] - (19*t[36])/3 - 6*t[37] + 
       (34*t[38])/3 + (7*t[39])/3 + (26*t[40])/3 + (7*t[41])/6 - 
       (17*t[42])/3 - (69*t[43])/8 - (3*t[44])/4 + 16*t[45] + 9*t[46] - 
       27*t[47] + (661*t[48])/48 - (197*t[49])/48 - (391*t[50])/48 + 
       (127*t[51])/32 - (131*t[52])/16 + (221*t[53])/48 + (157*t[54])/48 + 
       (4*t[56])/3 + (2*t[57])/3 + t[58] + (47*t[59])/6 + (5*t[60])/2 - 
       (41*t[61])/4 - (341*t[62])/12 - (865*t[63])/12 + (2627*t[64])/24 - 
       (851*t[65])/36 - (7637*t[66])/36 + (3*t[67])/2 - 8*t[69] - 2*t[72] + 
       56*t[73] + (23*t[74])/3 - 80*t[75] + (137*t[76])/3 - t[77] - 
       (250*t[78])/3 + 45*t[79] + (95*t[80])/3 + (61*t[81])/6 + 
       (41*t[82])/6 + 26*t[83] + (29*t[84])/4 + (41*t[85])/6 + (65*t[86])/2 - 
       (39*t[87])/4 - (39*t[88])/8 - (517*t[89])/12 - t[91]/6 + t[92]/3 - 
       2*t[93] - (5*t[94])/3 - (2*t[97])/3 + 216*t[98] - 328*t[99] - 
       210*t[100] - 6*t[102]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((9*t[1])/2 - 13*t[2] - (233*t[3])/8 - 13*t[4] - (549*t[5])/16 - 
       (257*t[6])/16 + (179*t[7])/8 + (307*t[8])/8 - (265*t[9])/16 - 
       (183*t[10])/8 + (1377*t[11])/16 + (473*t[12])/16 + (47*t[13])/144 + 
       (49*t[14])/4 + (5945*t[15])/288 - 4*t[27] - 18*t[28] - 2*t[29] + 
       t[30] - 4*t[31] + 2*t[32] - 2*t[33] - 8*t[34] + 24*t[35] + 26*t[36] + 
       2*t[38] + (17*t[40])/2 + (11*t[43])/4 + t[44] + (9*t[45])/2 + 
       5*t[46] - 7*t[47] + (351*t[48])/16 + (23*t[49])/2 + (131*t[50])/16 - 
       (23*t[51])/2 - (195*t[52])/16 - (7*t[53])/2 - (215*t[54])/16 + 
       3*t[59] - (689*t[60])/8 + (1561*t[61])/8 - (1701*t[62])/16 - 
       (475*t[63])/16 + (3077*t[64])/16 + (123*t[65])/8 - (1901*t[66])/24 - 
       2*t[68] + 4*t[72] + 14*t[73] - 10*t[75] + 17*t[76] - 13*t[77] - 
       27*t[78] + 28*t[79] + 12*t[80] + 17*t[81] - 5*t[82] + 48*t[83] - 
       (141*t[84])/8 - (253*t[85])/8 + 110*t[86] + (325*t[87])/8 + 
       (325*t[88])/16 - (887*t[89])/16 + 13*t[96] + 8*t[97] + 84*t[98] - 
       96*t[99] - 144*t[100] - 6*t[102]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*(-t[1]/2 + (11*t[2])/2 - (457*t[3])/4 + 
       (61*t[4])/4 - (6361*t[5])/48 - (589*t[6])/48 + (969*t[7])/8 - 
       (293*t[8])/24 + (11783*t[9])/48 + (351*t[10])/4 + (469*t[11])/48 + 
       (2927*t[12])/48 - (1295*t[13])/144 + (18649*t[14])/144 - 
       (12787*t[15])/288 + 4*t[17] + 2*t[19] + 18*t[20] + 4*t[21] - 
       26*t[22] - 4*t[23] - (26*t[24])/3 - 22*t[27] + 18*t[28] - 
       (19*t[29])/2 + 6*t[30] - (128*t[31])/3 - 5*t[32] - 9*t[33] + 
       44*t[34] - 8*t[35] - 2*t[36] + 4*t[37] - 8*t[38] + 15*t[39] - 
       10*t[40] + 5*t[41] - 6*t[42] - (95*t[43])/6 - (41*t[44])/4 - 
       (123*t[45])/2 - 8*t[46] + 95*t[47] + (1139*t[48])/48 + 
       (985*t[49])/24 + (2791*t[50])/48 - (937*t[51])/48 - (2023*t[52])/48 - 
       (793*t[53])/24 - (65*t[54])/16 - 5*t[56] - 4*t[57] + 5*t[59] + 
       (953*t[60])/8 + (5095*t[61])/24 - (4973*t[62])/48 + (2183*t[63])/16 + 
       (581*t[64])/16 + (10561*t[65])/72 - (6589*t[66])/72 - 7*t[68] + 
       4*t[69] + 16*t[72] + 6*t[73] - 4*t[74] + 22*t[75] + 16*t[76] + 
       7*t[77] + (5*t[78])/2 + 30*t[79] + 13*t[80] + (89*t[81])/2 + 3*t[82] + 
       (2*t[83])/3 + (2471*t[84])/24 - (1169*t[85])/24 - (116*t[86])/3 - 
       (1915*t[87])/24 - (1915*t[88])/48 + (299*t[89])/16 + 3*t[90] + 
       4*t[93] + 6*t[96] + 12*t[97] + 84*t[98] - 96*t[99] - 144*t[100] - 
       6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-6*t[1] + (63*t[2])/4 - (135*t[3])/8 - 
       (7*t[4])/6 + (76*t[5])/3 + (325*t[6])/48 - (239*t[7])/24 - 
       (399*t[8])/8 - (7*t[9])/2 - (449*t[10])/24 - (215*t[11])/48 - 
       (7*t[12])/12 + (1007*t[13])/48 + (1025*t[14])/48 - (229*t[15])/144 + 
       (2*t[16])/3 + 5*t[17] - 5*t[18] - 2*t[19] + 22*t[20] + (4*t[21])/3 - 
       16*t[22] + 3*t[23] + 2*t[24] - t[26]/3 - 12*t[27] + 20*t[28] - 
       4*t[29] - (3*t[30])/2 + 2*t[31] + (17*t[32])/6 + (47*t[33])/6 + 
       8*t[34] - 6*t[35] + (7*t[36])/3 + 6*t[37] + t[38]/3 + (25*t[39])/6 + 
       (7*t[40])/6 - (16*t[41])/3 - (13*t[42])/6 + (211*t[43])/24 - 
       (17*t[44])/12 + (70*t[45])/3 - (13*t[46])/6 - (140*t[47])/3 + 
       (97*t[48])/48 + t[49]/2 + (533*t[50])/48 + (37*t[51])/24 - 
       (167*t[52])/16 - t[53]/2 - (133*t[54])/48 - (4*t[56])/3 + 
       (2*t[57])/3 + (2*t[58])/3 + (2*t[59])/3 + (1261*t[60])/24 + 
       (609*t[61])/8 + (395*t[62])/16 + (1559*t[63])/48 - (3445*t[64])/48 - 
       (1801*t[65])/24 - (9949*t[66])/72 - t[67]/2 - 6*t[68] + 8*t[70] - 
       8*t[71] + 10*t[72] + 40*t[73] + (17*t[74])/3 - 36*t[75] + 
       (43*t[76])/3 + (11*t[77])/3 - 10*t[78] - 3*t[79] + (11*t[80])/3 + 
       (17*t[81])/2 + (27*t[82])/2 + 10*t[83] + (401*t[84])/24 + 
       (5*t[85])/8 - (601*t[86])/6 - (261*t[87])/8 - (261*t[88])/16 - 
       (635*t[89])/16 - t[91]/6 - (5*t[92])/3 + 2*t[93] + t[94]/3 + 
       68*t[98] - 132*t[99] - 105*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((11*t[1])/6 + (15*t[2])/4 - (515*t[3])/24 + (941*t[4])/24 - 
       (1253*t[5])/48 + (435*t[6])/16 - (479*t[7])/24 + (375*t[8])/8 - 
       (685*t[9])/48 + (497*t[10])/48 + (385*t[11])/16 - (101*t[12])/12 + 
       (8921*t[13])/432 + (2005*t[14])/32 + (1139*t[15])/96 - t[16]/2 + 
       (11*t[25])/3 - (13*t[26])/3 - (16*t[27])/3 - 4*t[28] + 3*t[29] - 
       6*t[30] - t[32] + t[33] + 6*t[35] + (2*t[36])/3 + t[37] + 
       (2*t[38])/3 + (9*t[39])/2 + (2*t[40])/3 + (13*t[43])/4 - 4*t[44] + 
       (25*t[45])/6 - (11*t[46])/3 - (28*t[47])/3 + (115*t[48])/16 + 
       (829*t[49])/48 - (251*t[50])/48 - (481*t[51])/96 + (105*t[52])/16 - 
       (997*t[53])/48 + (187*t[54])/16 + (11*t[59])/3 + (209*t[60])/3 + 
       (1601*t[61])/12 + (527*t[62])/24 + (379*t[63])/8 - (781*t[64])/24 - 
       (238*t[65])/9 - (2497*t[66])/36 - t[67]/6 + (2*t[68])/3 + 
       (10*t[70])/3 - (10*t[71])/3 - 5*t[72] + 52*t[73] + 3*t[74] - 
       48*t[75] + 3*t[76] - (17*t[77])/6 + (22*t[78])/3 - 9*t[79] + 6*t[80] + 
       (79*t[81])/6 - (49*t[82])/6 + 2*t[83] + (331*t[84])/12 + 3*t[85] - 
       (91*t[86])/3 - 61*t[87] - (91*t[88])/6 - (229*t[89])/8 - (8*t[95])/3 + 
       (2*t[96])/3 - (2*t[97])/3 + 68*t[98] - 132*t[99] - 105*t[100] - 
       6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      ((-29*t[1])/6 - (133*t[2])/12 - (55*t[3])/3 + (309*t[4])/8 - 
       (375*t[5])/8 - (701*t[6])/24 + (393*t[7])/8 + (455*t[8])/8 + 
       (467*t[9])/6 - (3805*t[10])/48 + (2627*t[11])/24 + (3059*t[12])/48 + 
       (4133*t[13])/54 + (6595*t[14])/96 - (1123*t[15])/48 - (2*t[16])/3 - 
       t[17]/3 + (19*t[18])/3 + (20*t[21])/3 + 4*t[22] - (23*t[23])/3 + 
       (20*t[24])/3 + (61*t[25])/3 + (2*t[26])/3 + (29*t[27])/3 + 16*t[28] - 
       4*t[29] - 2*t[30] - 2*t[31] - t[32]/3 + t[33] + 6*t[34] + 4*t[35] - 
       t[36]/3 + 10*t[37] - (14*t[38])/3 + 13*t[39] - (23*t[40])/3 + 
       9*t[41] - 6*t[42] - (449*t[43])/24 - (4*t[44])/3 + (17*t[45])/2 + 
       t[46]/3 + (44*t[47])/3 - (11*t[48])/24 - (229*t[49])/48 - 
       (35*t[50])/24 - (55*t[51])/32 - (37*t[52])/24 + (181*t[53])/48 - 
       (13*t[54])/6 + t[56]/3 - (4*t[57])/3 + 2*t[58] + (17*t[59])/3 + 
       69*t[60] + (551*t[61])/3 - (3191*t[62])/24 - (1083*t[63])/8 + 
       (1601*t[64])/12 + (5789*t[65])/36 - (3101*t[66])/9 + (2*t[67])/3 + 
       (8*t[68])/3 - (40*t[70])/3 + (40*t[71])/3 - 8*t[72] + 80*t[73] - 
       (10*t[74])/3 - 32*t[75] + (32*t[76])/3 + t[77] - (40*t[78])/3 - 
       4*t[79] + 23*t[80] + 21*t[81] - (106*t[82])/3 + 4*t[83] + 
       (77*t[84])/3 + (49*t[85])/2 + (255*t[86])/2 - (415*t[87])/6 - 
       (415*t[88])/12 + 24*t[89] - t[91]/3 + (2*t[92])/3 - (2*t[94])/3 + 
       52*t[98] - 72*t[99] - 77*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*
      ((5*t[1])/6 + (51*t[2])/4 - (117*t[3])/8 - (827*t[4])/24 - 
       (359*t[5])/16 - (23*t[6])/48 - (149*t[7])/8 - (115*t[8])/24 - 
       (517*t[9])/48 + (415*t[10])/16 - (2141*t[11])/48 + (173*t[12])/12 - 
       (18211*t[13])/432 + (1819*t[14])/288 + (1763*t[15])/96 + (2*t[16])/3 - 
       4*t[25] + (17*t[26])/3 + (2*t[27])/3 - 4*t[28] - 3*t[29] - 2*t[31] + 
       t[32] - t[33] - 6*t[35] + (26*t[36])/3 + (7*t[37])/3 - (5*t[38])/3 + 
       (13*t[39])/3 - (23*t[40])/6 + (5*t[43])/4 + (5*t[44])/2 + 
       (11*t[45])/6 - (11*t[46])/6 - (8*t[47])/3 + (449*t[48])/48 - 
       (371*t[49])/48 + (925*t[50])/48 + (901*t[51])/96 - (509*t[52])/48 + 
       (1139*t[53])/48 + (1385*t[54])/48 + (10*t[59])/3 - 79*t[60] + 
       (225*t[61])/4 + (793*t[62])/6 + (615*t[63])/4 + (403*t[64])/24 + 
       (47*t[65])/9 + (967*t[66])/36 - t[68] - (20*t[70])/3 + (20*t[71])/3 - 
       7*t[72] + 64*t[73] - (13*t[74])/3 - 84*t[75] - 4*t[76] - 
       (13*t[77])/2 + (52*t[78])/3 + 31*t[79] - (22*t[80])/3 + t[81]/2 + 
       (21*t[82])/2 + 18*t[83] - (61*t[84])/12 - (29*t[85])/3 - 
       (329*t[86])/3 + (172*t[87])/3 + (23*t[88])/3 - (148*t[89])/3 + 
       (14*t[95])/3 + (20*t[96])/3 - (13*t[97])/3 + 52*t[98] - 72*t[99] - 
       77*t[100] - 6*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-34*t[1])/3 + (107*t[2])/12 - (131*t[3])/8 + 
       (1289*t[4])/24 - (1159*t[5])/16 + (829*t[6])/48 - (205*t[7])/24 - 
       (571*t[8])/8 + (1161*t[9])/16 - (241*t[10])/16 + (1295*t[11])/48 + 
       (93*t[12])/2 + (1189*t[13])/16 + (2491*t[14])/96 - (8455*t[15])/288 + 
       (2*t[16])/3 + (2*t[25])/3 + (7*t[26])/3 - (22*t[27])/3 - 
       (10*t[28])/3 + (13*t[29])/3 - (4*t[30])/3 + 26*t[31] + t[32]/3 - 
       t[33]/3 + (7*t[34])/3 + 18*t[35] + t[36] - (26*t[37])/3 - 
       (13*t[38])/3 - 8*t[39] - (9*t[40])/2 - (7*t[41])/6 + (7*t[42])/6 - 
       (97*t[43])/12 + (133*t[44])/6 - (20*t[45])/3 + (17*t[46])/6 + 
       (41*t[47])/3 - (1339*t[48])/48 - (499*t[49])/48 + (793*t[50])/48 + 
       (113*t[51])/32 - (521*t[52])/48 + (707*t[53])/48 - (395*t[54])/48 - 
       t[58]/3 - (21*t[59])/2 + (253*t[60])/2 - (139*t[61])/12 + 
       (2263*t[62])/24 - (655*t[63])/24 - (2239*t[64])/24 - (1553*t[65])/36 - 
       105*t[66] + 8*t[68] - 10*t[69] + (2*t[70])/3 - (2*t[71])/3 - 
       13*t[72] + 58*t[73] - (2*t[74])/3 - 40*t[75] + (26*t[76])/3 + 
       (7*t[77])/6 + t[78] + t[79] + (92*t[80])/3 + 14*t[81] - (46*t[82])/3 - 
       25*t[83] + (105*t[84])/2 + (188*t[85])/3 - (181*t[86])/3 - 
       (361*t[87])/3 - (377*t[88])/6 - (299*t[89])/24 + (4*t[95])/3 - 
       (2*t[96])/3 - (19*t[97])/3 + 156*t[98] - 268*t[99] - 15*t[100] - 
       6*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-71*t[1])/12 - (539*t[2])/12 - (245*t[3])/12 + 
       (177*t[4])/8 - (2225*t[5])/48 + (3631*t[6])/48 - (3113*t[7])/24 - 
       (73*t[8])/24 - (2137*t[9])/48 - (1175*t[10])/48 - (4571*t[11])/48 - 
       (257*t[12])/12 - (889*t[13])/48 - (3367*t[14])/96 - 
       (16903*t[15])/864 + (2*t[17])/3 + (8*t[19])/3 + 18*t[20] - 4*t[21] - 
       12*t[22] + 4*t[23] + 2*t[24] - t[26] - (10*t[27])/3 - 14*t[28] + 
       (29*t[29])/6 + 2*t[31] - (29*t[32])/2 + (47*t[33])/3 + (25*t[34])/2 + 
       20*t[35] + 6*t[36] - (4*t[37])/3 - (7*t[38])/6 - (92*t[39])/3 + 
       20*t[40] - (13*t[41])/4 + (13*t[42])/4 - t[43]/12 - (115*t[44])/4 + 
       (7*t[45])/2 + (5*t[46])/6 - 12*t[47] + (787*t[48])/48 + 
       (27*t[49])/16 - (267*t[50])/16 + (169*t[51])/96 + (409*t[52])/48 - 
       (1145*t[53])/48 + (3431*t[54])/48 - t[55] - (31*t[59])/6 + 
       (311*t[60])/4 - (1093*t[61])/12 + (1955*t[62])/8 + (221*t[63])/8 + 
       (877*t[64])/24 + (118*t[65])/9 + (284*t[66])/3 - (10*t[68])/3 + 
       14*t[69] - (4*t[70])/3 + (4*t[71])/3 - 12*t[72] + 48*t[73] - 
       (17*t[74])/3 - 68*t[75] - (124*t[76])/3 - (38*t[77])/3 + 
       (109*t[78])/3 + 55*t[79] - (122*t[80])/3 + (215*t[81])/6 - 
       (91*t[82])/6 - t[83] + (241*t[84])/4 + (233*t[85])/3 - (319*t[86])/3 - 
       70*t[87] - (74*t[88])/3 + (1381*t[89])/24 - (26*t[95])/3 - 
       (74*t[96])/3 - (49*t[97])/3 - 76*t[98] - 60*t[99] + 212*t[100] - 
       6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-35*t[1])/12 - (115*t[2])/4 + (595*t[3])/12 - 
       (543*t[4])/8 - (493*t[5])/16 - (5207*t[6])/48 - (1291*t[7])/12 - 
       (617*t[8])/6 - (2895*t[9])/16 + (4769*t[10])/48 - (2569*t[11])/16 - 
       (143*t[12])/12 - (3229*t[13])/54 - (65905*t[14])/288 - 
       (14047*t[15])/864 - 2*t[18] - 5*t[19] - 8*t[21] + (56*t[22])/3 + 
       8*t[23] - (26*t[24])/3 + (70*t[27])/3 - 10*t[28] - (25*t[29])/2 - 
       (10*t[30])/3 - 2*t[31] - (5*t[32])/6 - (50*t[33])/3 - (115*t[34])/6 + 
       26*t[35] + 27*t[36] + (34*t[37])/3 + (47*t[38])/6 - (26*t[39])/3 + 
       (70*t[40])/3 - (89*t[41])/12 + (67*t[42])/12 - (55*t[43])/24 + 
       (185*t[44])/12 + (635*t[45])/12 + (35*t[46])/3 - (91*t[47])/2 - 
       (775*t[48])/16 - (2465*t[49])/48 + (247*t[50])/48 + (1325*t[51])/96 - 
       (1631*t[52])/48 + (2081*t[53])/48 - (1241*t[54])/48 + (4*t[55])/3 + 
       t[56]/3 + (4*t[57])/3 - t[58] - (37*t[59])/3 - (575*t[60])/2 - 
       (4501*t[61])/12 + (6599*t[62])/24 - (2563*t[63])/24 + 
       (4627*t[64])/24 + (6151*t[65])/36 + (3175*t[66])/12 + 8*t[68] + 
       8*t[69] - (10*t[70])/3 + (10*t[71])/3 - 20*t[72] + 68*t[73] - 
       (26*t[74])/3 - 62*t[75] - 19*t[76] - (22*t[77])/3 + (34*t[78])/3 + 
       35*t[79] - (385*t[80])/3 - 9*t[81] + (133*t[82])/6 + 3*t[83] - 
       7*t[84] + (113*t[85])/2 - (74*t[86])/3 + (658*t[87])/3 + 
       (183*t[88])/2 + (149*t[89])/2 - (8*t[95])/3 - (20*t[96])/3 - 
       (46*t[97])/3 - 76*t[98] - 60*t[99] + 212*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (-3*t[1] + (25*t[2])/4 + (9*t[3])/4 - (121*t[4])/2 + 20*t[5] + 
       (21*t[6])/4 - 29*t[7] + (235*t[8])/4 - (359*t[9])/4 - (117*t[10])/4 - 
       (351*t[11])/4 + (133*t[12])/4 - (1393*t[13])/36 - (3335*t[14])/48 + 
       (93*t[15])/4 - 3*t[16] + 4*t[25] - 11*t[26] - 8*t[27] - 4*t[28] + 
       2*t[29] + 8*t[31] + t[32] - t[33] - t[34] + 6*t[35] + t[36] + t[37] - 
       5*t[38] - 5*t[39] - 7*t[40] + t[41]/2 - t[42]/2 + t[43]/2 - 12*t[44] - 
       (11*t[45])/4 - 5*t[46] + (13*t[47])/2 + (69*t[48])/4 - 11*t[49] + 
       (57*t[50])/4 + (273*t[51])/16 - (37*t[52])/4 + 16*t[53] + 
       (37*t[54])/2 + t[58] + t[59] - 121*t[60] - (65*t[61])/2 + 
       (955*t[62])/8 + (89*t[63])/8 + (383*t[64])/4 + (791*t[65])/6 + 
       (2651*t[66])/12 - (7*t[68])/2 + 4*t[69] + 6*t[72] - 40*t[73] - 
       10*t[74] + 64*t[75] - 43*t[76] + 4*t[77] + (131*t[78])/2 - 40*t[79] - 
       18*t[80] - 9*t[81] + (51*t[82])/2 + 40*t[83] - 23*t[84] - 
       (215*t[85])/4 - (41*t[86])/2 + 110*t[87] + 55*t[88] - (177*t[89])/8 - 
       t[90]/2 + t[91]/6 - t[97] - 288*t[98] + 252*t[99] + 351*t[100] - 
       6*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*(t[1]/2 + 5*t[2] + (41*t[3])/8 - 
       (683*t[4])/8 + (239*t[5])/16 - (9*t[6])/8 - (191*t[7])/8 + 
       (399*t[8])/8 - (655*t[9])/16 - (157*t[10])/16 - (691*t[11])/8 + 
       (13*t[12])/8 - (2777*t[13])/48 - (8437*t[14])/96 - (51*t[15])/32 + 
       (3*t[16])/2 - 4*t[24] - 12*t[25] - t[26] - 6*t[27] - 12*t[28] + 
       2*t[29] + t[32] - t[33] - t[34] + 8*t[35] + 8*t[36] + 2*t[37] - 
       13*t[39] + t[40] - (3*t[41])/2 + (3*t[42])/2 - (15*t[43])/4 - 
       12*t[44] - (33*t[45])/4 - (9*t[46])/2 + (35*t[47])/2 + (21*t[48])/2 + 
       (63*t[49])/16 + (35*t[50])/2 + (179*t[51])/32 - (25*t[52])/2 - 
       (47*t[53])/16 - (23*t[54])/8 + t[58] - 2*t[59] - (1049*t[60])/8 - 
       (393*t[61])/8 + (257*t[62])/16 - (577*t[63])/16 + (2483*t[64])/16 + 
       (3653*t[65])/24 + (4537*t[66])/24 - (5*t[68])/2 + 4*t[69] + 6*t[72] - 
       40*t[73] - 20*t[74] + 44*t[75] - 41*t[76] - 9*t[77] + (93*t[78])/2 + 
       6*t[79] + 7*t[80] - (37*t[81])/2 + (59*t[82])/2 + 82*t[83] - 
       (157*t[84])/8 - (141*t[85])/8 + (145*t[86])/2 + (749*t[87])/8 + 
       (749*t[88])/16 + (43*t[89])/16 - t[90]/2 + t[91]/6 - t[97] - 
       288*t[98] + 252*t[99] + 351*t[100] - 6*t[102]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((35*t[1])/12 + (185*t[2])/9 + (3799*t[3])/72 + (6233*t[4])/144 - 
       (5387*t[5])/144 + (245*t[6])/16 - (1313*t[7])/24 - (4141*t[8])/72 - 
       (3925*t[9])/144 - (1853*t[10])/96 - (9325*t[11])/144 + 
       (2557*t[12])/96 - (93*t[13])/8 - (235133*t[14])/1728 - 
       (15425*t[15])/432 + t[16]/2 + t[18]/3 + 4*t[19] + t[20] - 
       (4*t[21])/3 - (11*t[22])/3 + (4*t[23])/3 + (5*t[24])/3 - 
       (83*t[25])/9 + (31*t[26])/9 + (47*t[27])/9 + (26*t[28])/9 - 
       (122*t[29])/9 + (187*t[30])/18 - (227*t[31])/9 + (8*t[32])/3 - 
       (13*t[33])/3 + (125*t[34])/18 - (50*t[35])/3 - (101*t[36])/6 - 
       (29*t[37])/3 + (7*t[38])/3 + (160*t[39])/9 - (221*t[40])/18 - 
       (29*t[41])/36 - (55*t[42])/36 - (67*t[43])/36 - (29*t[44])/18 - 
       (85*t[45])/6 + (19*t[46])/72 - t[47]/2 + (503*t[48])/48 - 
       (2221*t[49])/32 + (1483*t[50])/48 + (15697*t[51])/576 - 
       (2105*t[52])/144 + (3443*t[53])/96 - (65*t[54])/2 + (19*t[58])/18 + 
       (8*t[59])/9 - (6161*t[60])/144 - (9973*t[61])/48 + (46727*t[62])/288 - 
       (4907*t[63])/32 + (15679*t[64])/288 + (52507*t[65])/432 + 
       (32755*t[66])/144 + (13*t[68])/2 - 4*t[69] + (38*t[70])/3 - 
       (38*t[71])/3 + 60*t[73] + (25*t[74])/3 - (202*t[75])/3 - 
       (475*t[76])/18 + (115*t[77])/9 + (197*t[78])/9 + (202*t[79])/3 - 
       15*t[80] - (269*t[81])/18 + (133*t[82])/9 + (269*t[83])/6 + 
       (10427*t[84])/144 + (5575*t[85])/144 + (380*t[86])/9 + 
       (1993*t[87])/16 + (10043*t[88])/96 + (6457*t[89])/288 - t[90]/6 - 
       (92*t[95])/3 - 32*t[96] - (229*t[97])/18 - (395*t[98])/3 + 
       (407*t[99])/3 - (593*t[100])/6 - 10*t[101] - 6*t[102]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-305*t[1])/36 - (1097*t[2])/72 - (337*t[3])/24 + (4895*t[4])/36 + 
       (4759*t[5])/144 + (8143*t[6])/72 - (13055*t[7])/72 + (926*t[8])/9 - 
       (15827*t[9])/72 + (5063*t[10])/72 - (2825*t[11])/36 - 
       (12287*t[12])/144 + (9587*t[13])/324 - (193*t[14])/24 + 
       (28625*t[15])/864 + (2*t[16])/3 + (7*t[17])/6 - 8*t[18] + 
       (4*t[19])/3 + 12*t[20] - 11*t[21] + (67*t[22])/3 + 11*t[23] - 
       (25*t[24])/3 + (31*t[25])/3 - (70*t[26])/9 - (148*t[27])/9 + 
       (8*t[28])/9 - (271*t[29])/18 - (89*t[30])/18 + (68*t[31])/3 - 
       (26*t[32])/9 + (74*t[33])/9 - (835*t[34])/18 + 24*t[35] + 25*t[36] - 
       (25*t[37])/3 + (37*t[38])/6 - t[39]/9 + (76*t[40])/9 - (77*t[41])/36 - 
       (67*t[42])/36 - (233*t[43])/18 + (59*t[44])/36 + (4807*t[45])/72 - 
       (20*t[46])/3 - (1199*t[47])/12 + (1903*t[48])/72 + (923*t[49])/72 - 
       (139*t[50])/8 - (1793*t[51])/144 + (1727*t[52])/72 - (1319*t[53])/72 - 
       (599*t[54])/72 + 6*t[57] - (4*t[58])/9 - (89*t[59])/12 + 
       (1939*t[60])/36 + (811*t[61])/18 + (6449*t[62])/18 - (241*t[63])/72 - 
       (743*t[64])/3 - (38579*t[65])/216 + (45491*t[66])/216 - (11*t[68])/2 + 
       (2*t[69])/3 + (55*t[70])/3 - (55*t[71])/3 - 19*t[72] + (355*t[73])/6 + 
       (44*t[74])/3 - (343*t[75])/6 - (209*t[76])/9 - (9*t[77])/2 + 
       (235*t[78])/18 + 4*t[79] - (1375*t[80])/9 - (305*t[81])/12 - 
       (217*t[82])/3 - (181*t[83])/3 + (379*t[84])/8 - (346*t[85])/9 - 
       263*t[86] + (158*t[87])/9 + (401*t[88])/18 + (173*t[89])/24 - 
       t[90]/6 - t[91]/6 + 2*t[93] - (20*t[95])/3 - (37*t[97])/18 - 
       (509*t[98])/3 + (521*t[99])/3 + (74*t[100])/3 - 10*t[101] - 
       6*t[102]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((93*t[1])/4 + (1187*t[2])/12 + (6059*t[3])/24 + (21187*t[4])/24 - 
       (8903*t[5])/24 - (4549*t[6])/48 - (6269*t[7])/24 - (13003*t[8])/24 - 
       (1087*t[9])/8 - (9437*t[10])/16 + (5171*t[11])/48 - (2383*t[12])/48 + 
       (34583*t[13])/432 - (52351*t[14])/96 - (44359*t[15])/144 + 18*t[17] - 
       4*t[18] + (2*t[19])/3 + 66*t[20] + 6*t[21] - 88*t[22] - 10*t[23] + 
       30*t[24] - 18*t[25] + (55*t[26])/3 + 6*t[27] - 6*t[28] - 
       (11*t[29])/2 + 15*t[30] + 30*t[31] + 24*t[32] + (19*t[33])/3 - 
       (307*t[34])/6 - 46*t[35] - 21*t[36] + 16*t[37] + (37*t[38])/3 - 
       (55*t[39])/3 + (7*t[40])/6 + (361*t[41])/12 - (421*t[42])/12 + 
       (89*t[43])/8 + (75*t[44])/4 - (214*t[45])/3 - (175*t[46])/6 + 
       (88*t[47])/3 - (183*t[48])/16 + (365*t[49])/48 + (941*t[50])/16 + 
       (743*t[51])/96 - (1759*t[52])/48 - (127*t[53])/16 - (1487*t[54])/16 - 
       8*t[56] - 14*t[57] + (8*t[58])/3 + (17*t[59])/3 + (4067*t[60])/12 - 
       (383*t[61])/12 + (22229*t[62])/48 - (17395*t[63])/16 - 
       (1145*t[64])/12 - (9751*t[65])/8 - (4354*t[66])/9 + 3*t[68] + t[69] + 
       18*t[70] - 18*t[71] + 15*t[72] + 180*t[73] + 84*t[74] - 100*t[75] + 
       (253*t[76])/6 + (107*t[77])/2 + (4*t[78])/3 - 118*t[79] + 
       (363*t[80])/2 - (3*t[81])/2 - (415*t[82])/6 + (177*t[83])/2 - 
       87*t[84] + (202*t[85])/3 - (31*t[86])/4 + (511*t[87])/12 + 
       (703*t[88])/24 - (3377*t[89])/24 + 18*t[96] - (14*t[97])/3 - 
       360*t[98] + 60*t[99] + 210*t[100] + 2*t[101] - 6*t[102]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((323*t[1])/12 - (161*t[2])/6 - (1231*t[3])/24 + (1429*t[4])/6 + 
       (7061*t[5])/48 + (925*t[6])/24 + (295*t[7])/24 + (665*t[8])/24 - 
       (12505*t[9])/48 + (19159*t[10])/24 - (2743*t[11])/24 - 
       (15149*t[12])/48 - (126107*t[13])/432 + (64751*t[14])/144 + 
       (4637*t[15])/96 + 12*t[19] - 12*t[20] - 12*t[21] + 12*t[23] - 
       18*t[25] + (64*t[26])/3 + 14*t[28] - 6*t[30] + 36*t[31] + t[33]/3 - 
       (145*t[34])/6 - 6*t[35] - 12*t[36] - 37*t[37] + (40*t[38])/3 - 
       (101*t[39])/6 - (65*t[40])/6 + (145*t[41])/12 - (145*t[42])/12 + 
       (95*t[43])/3 - 16*t[44] + (265*t[45])/6 - (51*t[46])/2 - 
       (521*t[47])/6 - (29*t[48])/12 + (2291*t[49])/12 + (25*t[50])/4 - 
       (2291*t[51])/12 + (7*t[52])/12 - (831*t[53])/4 - (679*t[54])/4 + 
       (10*t[58])/3 - (23*t[59])/3 + (721*t[60])/6 + (2705*t[61])/6 - 
       (7129*t[62])/24 - (901*t[63])/8 - (5411*t[64])/6 - (2389*t[65])/9 + 
       (1573*t[66])/4 + 12*t[68] + 15*t[69] + 18*t[70] - 18*t[71] + 9*t[72] + 
       54*t[73] + 30*t[74] + 8*t[75] + (13*t[76])/3 - (16*t[77])/3 - 
       (74*t[78])/3 + 14*t[79] + (400*t[80])/3 - (364*t[81])/3 + 
       (65*t[82])/3 + (89*t[83])/2 + t[84]/12 - (1091*t[85])/12 + 
       (293*t[86])/3 + (1351*t[87])/12 + (2491*t[88])/24 - (589*t[89])/12 - 
       48*t[95] + 24*t[96] + 21*t[97] - 360*t[98] + 60*t[99] + 210*t[100] + 
       2*t[101] - 6*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((11*t[2])/4 - (221*t[3])/12 + (271*t[4])/24 + 
       (73*t[5])/2 - (7*t[6])/2 + (53*t[7])/6 + (679*t[8])/12 - 
       (827*t[9])/12 - (1693*t[10])/48 + (433*t[11])/12 - (259*t[12])/16 - 
       (841*t[13])/72 - (6457*t[14])/288 + (6667*t[15])/144 - t[16] + 
       2*t[25] - 11*t[26] - 12*t[27] - 12*t[28] + 16*t[30] - 22*t[31] - 
       t[32] + t[33] + t[34] - 34*t[35] - 7*t[36] + 4*t[37] - 6*t[38] - 
       11*t[39] + 5*t[40] - t[41]/2 + t[42]/2 + (10*t[43])/3 - 4*t[44] + 
       (15*t[45])/4 + t[46]/2 - (17*t[47])/2 + 10*t[48] + (757*t[49])/48 + 
       (49*t[50])/3 - (19*t[51])/96 - (64*t[52])/3 - (709*t[53])/48 - 
       (601*t[54])/24 - t[58] + 11*t[59] - 13*t[60] + (451*t[61])/4 + 
       (1187*t[62])/48 - (791*t[63])/48 + (497*t[64])/12 - (4289*t[65])/72 + 
       (1519*t[66])/36 - 10*t[72] - 12*t[73] - 4*t[74] + 18*t[75] - 3*t[76] - 
       (5*t[77])/2 + 30*t[78] - 6*t[79] + (23*t[80])/2 + 5*t[81] - 
       (9*t[82])/2 + (82*t[83])/3 - (29*t[84])/3 - (145*t[85])/3 + 
       (131*t[86])/12 + (143*t[87])/3 + (143*t[88])/6 - (475*t[89])/12 + 
       t[91]/6 - 2*t[93] - t[97] - 152*t[98] + 160*t[99] - 34*t[100] - 
       4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((29*t[2])/4 - (17*t[3])/4 - (191*t[4])/8 + 
       (55*t[5])/2 + (15*t[6])/4 - (95*t[7])/2 - (147*t[8])/4 - 
       (257*t[9])/4 + (653*t[10])/16 - (73*t[11])/2 - (527*t[12])/16 - 
       (1819*t[13])/72 - (631*t[14])/96 + (459*t[15])/16 + t[16] + 2*t[20] - 
       10*t[25] - 5*t[26] - 6*t[27] - 4*t[28] + 2*t[30] + 12*t[31] + t[32] + 
       t[33] + t[34] + 12*t[35] + 3*t[36] - 14*t[37] - 7*t[39] + 3*t[40] - 
       t[41]/2 + t[42]/2 - (7*t[43])/2 + 4*t[44] + (63*t[45])/4 - 
       (5*t[46])/2 - (65*t[47])/2 - (45*t[48])/4 - (141*t[49])/16 + 
       (87*t[50])/4 + (523*t[51])/32 - (99*t[52])/4 + (125*t[53])/16 - 
       (45*t[54])/8 - t[58] - 3*t[59] - 4*t[60] + (121*t[61])/4 + 
       (181*t[62])/16 + (199*t[63])/16 - 7*t[64] - (489*t[65])/8 + 
       (827*t[66])/12 + 24*t[72] - 34*t[73] - 2*t[74] + 32*t[75] + t[76] - 
       (5*t[77])/2 + 44*t[78] - 8*t[79] - (5*t[80])/2 - 6*t[81] + 
       (17*t[82])/2 + 18*t[83] - 9*t[84] - (41*t[85])/2 + (13*t[86])/4 + 
       (45*t[87])/2 + (45*t[88])/4 - (83*t[89])/2 + t[91]/6 + 2*t[93] - 
       t[97] - 152*t[98] + 160*t[99] + 76*t[100] - 4*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (-4*t[1] + (15*t[2])/4 + (13*t[3])/6 - (1111*t[4])/24 + t[5]/8 + 
       24*t[6] - (619*t[7])/12 + (158*t[8])/3 - (905*t[9])/24 - 
       (239*t[10])/48 - (913*t[11])/12 - (31*t[12])/16 - (547*t[13])/9 - 
       (17123*t[14])/288 + (103*t[15])/72 + t[16] - 2*t[24] - 12*t[25] - 
       t[26] - 4*t[27] - 12*t[28] + 2*t[29] + 8*t[31] + t[32] - t[33] - 
       t[34] + 8*t[35] + 7*t[36] + 2*t[37] - 13*t[39] - t[40] - t[41]/2 + 
       t[42]/2 + (7*t[43])/6 - 14*t[44] - (27*t[45])/4 - t[46]/2 + 
       (29*t[47])/2 + (27*t[48])/4 - (109*t[49])/48 + (29*t[50])/12 + 
       (571*t[51])/96 + (31*t[52])/12 + (157*t[53])/48 + (247*t[54])/24 + 
       t[58] - 3*t[59] - (129*t[60])/4 - (23*t[61])/2 + (1231*t[62])/48 + 
       (1301*t[63])/48 + (1595*t[64])/24 + (3011*t[65])/72 + 
       (1669*t[66])/18 - t[68] - 2*t[72] - 24*t[73] - 14*t[74] + 24*t[75] - 
       13*t[76] - (3*t[77])/2 + 36*t[78] - 2*t[79] - (7*t[80])/2 - 4*t[81] + 
       (13*t[82])/2 + (92*t[83])/3 + (8*t[84])/3 + (17*t[85])/6 - 
       (59*t[86])/12 + (131*t[87])/6 + (131*t[88])/12 + (479*t[89])/24 + 
       t[91]/6 + t[97] - 184*t[98] + 160*t[99] + 222*t[100] - 4*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      (-16*t[1] + 4*t[2] - (23*t[3])/4 - (703*t[4])/16 + (231*t[5])/4 - 
       (469*t[6])/8 + (211*t[7])/8 - (315*t[8])/8 - (11*t[9])/4 + 
       (425*t[10])/32 + t[11]/4 + (1857*t[12])/32 + (2369*t[13])/72 + 
       (6673*t[14])/192 + (5231*t[15])/288 - (3*t[16])/4 - 2*t[20] + 
       4*t[22] + 10*t[25] - (17*t[26])/2 + 15*t[27] - 2*t[28] - 7*t[29] - 
       5*t[30] - 3*t[31] - (11*t[32])/2 + (7*t[33])/2 + (41*t[34])/2 - 
       8*t[35] + 11*t[37] - 3*t[38] - (7*t[39])/2 + (17*t[40])/2 - 
       (9*t[41])/4 + (9*t[42])/4 - (9*t[43])/4 + 7*t[44] - (141*t[45])/8 + 
       (49*t[46])/4 + (39*t[47])/4 - (47*t[48])/2 + (15*t[49])/32 - 
       18*t[50] - (557*t[51])/64 + (11*t[52])/2 - (63*t[53])/32 + 
       (181*t[54])/16 - (9*t[58])/2 - (19*t[59])/4 + (19*t[60])/16 - 
       (449*t[61])/16 + (1337*t[62])/32 + (2551*t[63])/32 + (4071*t[64])/32 + 
       (469*t[65])/16 - (1807*t[66])/16 + (9*t[68])/4 + 4*t[69] + 12*t[72] + 
       38*t[73] + 4*t[74] - 30*t[75] + (111*t[76])/2 - 5*t[77] - 
       (141*t[78])/4 + 4*t[79] + 62*t[80] + (105*t[81])/4 + 18*t[82] - 
       11*t[83] + (67*t[84])/16 + (883*t[85])/16 - (107*t[86])/4 - 
       (1587*t[87])/16 - (1587*t[88])/32 - (1617*t[89])/32 + t[90]/4 - 
       t[91]/12 + t[93] + (13*t[97])/2 + 198*t[98] - 216*t[99] - 73*t[100] - 
       3*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - w]*((29*t[1])/2 - (87*t[2])/8 - (125*t[3])/8 + (217*t[4])/16 + 
       (195*t[5])/8 + (93*t[6])/4 - 146*t[7] - (185*t[8])/8 - (189*t[9])/4 + 
       (3237*t[10])/32 + (225*t[11])/8 - (1235*t[12])/32 + (4585*t[13])/144 + 
       (4993*t[14])/192 + (2455*t[15])/96 + (3*t[16])/2 + 10*t[25] - 
       24*t[26] - 2*t[28] + t[29] - 11*t[30] - 13*t[31] - (3*t[32])/2 + 
       (3*t[33])/2 + (3*t[34])/2 - 25*t[35] - (13*t[36])/2 - (19*t[37])/2 + 
       16*t[38] - (3*t[39])/2 + (5*t[40])/2 - (3*t[41])/4 + (3*t[42])/4 + 
       (45*t[43])/4 - 5*t[44] - (7*t[45])/8 - t[46]/4 + t[47]/4 + 36*t[48] + 
       (163*t[49])/32 - (43*t[50])/2 + (275*t[51])/64 + 14*t[52] - 
       (19*t[53])/32 + (281*t[54])/16 - (3*t[58])/2 + (5*t[59])/4 + 
       (1155*t[60])/16 + (1983*t[61])/16 + (1737*t[62])/32 + 
       (8511*t[63])/32 + (547*t[64])/32 + (133*t[65])/48 - (3875*t[66])/48 - 
       (13*t[68])/4 + 4*t[69] - 45*t[72] + 26*t[73] + 2*t[74] - 14*t[75] + 
       (65*t[76])/2 + 6*t[77] - (115*t[78])/4 + 50*t[79] + 28*t[80] + 
       26*t[81] + (41*t[82])/4 - 12*t[83] + (525*t[84])/16 - (237*t[85])/16 - 
       (1017*t[86])/4 - (1027*t[87])/16 - (1027*t[88])/32 - (73*t[89])/32 + 
       t[90]/4 - t[91]/12 - 3*t[93] + 6*t[96] + (23*t[97])/2 + 198*t[98] - 
       216*t[99] - 73*t[100] - 3*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((73*t[1])/6 + (45*t[2])/8 + 
       (815*t[3])/72 + (2057*t[4])/144 - (653*t[5])/12 - (105*t[6])/16 - 
       (2131*t[7])/72 - (2171*t[8])/36 + (737*t[9])/72 - (8159*t[10])/288 + 
       (3829*t[11])/144 - (1529*t[12])/96 + (21439*t[13])/432 - 
       (27011*t[14])/1728 - (25051*t[15])/864 + t[16] + t[19] + t[20] + 
       t[21] + t[22] - t[23] + 4*t[25] - (27*t[26])/2 + 3*t[27] + t[30] - 
       (3*t[31])/2 + t[32]/2 - t[33]/2 + (7*t[34])/2 - (19*t[36])/2 - 
       3*t[37] + (29*t[38])/2 + t[39] - (9*t[40])/2 - t[41]/4 + t[42]/4 - 
       (8*t[43])/9 + t[44] - (27*t[45])/8 + (13*t[46])/12 + (29*t[47])/4 - 
       (823*t[48])/48 - (10045*t[49])/288 - (365*t[50])/144 + 
       (16867*t[51])/576 - (427*t[52])/144 + (5437*t[53])/288 + 
       (1151*t[54])/72 - t[58] - (127*t[59])/12 + (1233*t[60])/16 - 
       (7109*t[61])/48 - (7451*t[62])/288 - (20629*t[63])/288 + 
       (81121*t[64])/288 - (40609*t[65])/432 - (56573*t[66])/432 - 
       (9*t[68])/4 - 7*t[69] + 5*t[70] - 5*t[71] - 14*t[72] + 28*t[73] + 
       (41*t[74])/3 - 33*t[75] + (27*t[76])/2 + 2*t[77] - (61*t[78])/4 + 
       (69*t[79])/4 - 2*t[80] + (17*t[81])/4 - 32*t[82] - (26*t[83])/9 + 
       (1945*t[84])/144 + (4049*t[85])/144 + (535*t[86])/18 - 
       (5473*t[87])/144 - (145*t[88])/288 + (3517*t[89])/288 + t[90]/4 - 
       t[91]/12 - t[93] - 9*t[96] - (5*t[97])/2 + 78*t[98] - 174*t[99] + 
       (551*t[100])/6 - 3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*(-9*t[1] + (19*t[2])/4 - 
       (137*t[3])/4 - (2111*t[4])/16 + (717*t[5])/8 + (3*t[6])/2 - 
       (341*t[7])/8 + (975*t[8])/8 - (879*t[9])/8 + (6177*t[10])/32 - 
       (277*t[11])/8 - (91*t[12])/32 - (1007*t[13])/36 + (10153*t[14])/192 + 
       (7267*t[15])/96 - (3*t[16])/4 - 3*t[18] - t[19] - 4*t[20] - 5*t[21] + 
       20*t[22] + 5*t[23] - 2*t[24] + t[25] + 6*t[26] + 11*t[27] + 5*t[28] - 
       5*t[29] - 4*t[30] + t[31] - t[32]/2 - t[33]/2 - (31*t[34])/2 - 
       10*t[35] - 9*t[36] - 4*t[37] + t[38] + (13*t[39])/2 + 5*t[40] + 
       (31*t[41])/4 - (47*t[42])/4 + (35*t[43])/2 + 7*t[44] + (387*t[45])/8 + 
       (61*t[46])/4 - (333*t[47])/4 - (63*t[48])/8 - (609*t[49])/32 - 
       (103*t[50])/8 - (613*t[51])/64 + (59*t[52])/8 + (625*t[53])/32 + 
       (83*t[54])/16 - 2*t[58] + (9*t[59])/2 - (1321*t[60])/16 - 
       (1029*t[61])/16 + (2557*t[62])/32 + (1707*t[63])/32 + 
       (1611*t[64])/32 - (559*t[65])/16 + (6539*t[66])/48 - (3*t[68])/4 - 
       10*t[69] + 8*t[70] - 8*t[71] - 11*t[72] + 22*t[73] + 17*t[74] - 
       19*t[75] + (27*t[76])/2 + 19*t[77] - (117*t[78])/4 - t[79] - 
       32*t[80] - (19*t[81])/4 - (7*t[82])/2 - 37*t[83] - (77*t[84])/16 + 
       (339*t[85])/16 - (387*t[86])/4 + (637*t[87])/16 + (685*t[88])/32 + 
       (403*t[89])/32 + t[90]/4 - t[91]/12 - t[93] - t[97] + 78*t[98] - 
       174*t[99] + (581*t[100])/6 - 3*t[102]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-485*t[1])/72 + (211*t[2])/72 - (5233*t[3])/288 + (2509*t[4])/288 - 
       (39551*t[5])/576 + (527*t[6])/288 - (2251*t[7])/288 - (359*t[8])/96 + 
       (42071*t[9])/576 - (21109*t[10])/576 + (171*t[11])/32 + 
       (2053*t[12])/72 + (77443*t[13])/5184 + (86413*t[14])/3456 - 
       (63547*t[15])/3456 + (3*t[16])/2 - t[19] + (41*t[25])/9 + 
       (71*t[26])/12 + (14*t[27])/9 + (44*t[28])/9 - (73*t[29])/18 - 
       (7*t[30])/9 - (61*t[31])/9 - (5*t[32])/18 + (17*t[33])/18 + 
       (16*t[34])/9 + (11*t[35])/3 + 5*t[36] + 2*t[37] - (47*t[38])/12 + 
       (20*t[39])/3 + (4*t[40])/3 - (8*t[41])/9 + (8*t[42])/9 - 
       (805*t[43])/144 - (4*t[44])/9 - (745*t[45])/72 + (521*t[46])/72 + 
       (91*t[47])/4 - (575*t[48])/144 - (4393*t[49])/576 - (205*t[50])/48 + 
       (8249*t[51])/1152 + (1111*t[52])/144 + (11377*t[53])/576 + 
       (9125*t[54])/288 - (4*t[58])/9 + (13*t[59])/18 + (1967*t[60])/288 + 
       (3959*t[61])/288 - (14501*t[62])/576 - (31867*t[63])/576 + 
       (91315*t[64])/576 - (17995*t[65])/288 - (150899*t[66])/864 - 
       (11*t[68])/6 + (16*t[69])/3 - (11*t[70])/3 + 4*t[71] + 8*t[72] + 
       (173*t[73])/6 - (41*t[74])/6 - (51*t[75])/2 + (85*t[76])/9 - 
       (313*t[77])/36 - (148*t[78])/9 - (23*t[79])/6 + (172*t[80])/9 + 
       (329*t[81])/18 - (823*t[82])/36 + 44*t[83] - (1723*t[84])/288 - 
       (37*t[85])/96 + (1261*t[86])/36 + (593*t[87])/288 - (7087*t[88])/576 - 
       (3587*t[89])/576 - t[90]/6 - t[91]/12 + t[93] + (20*t[95])/3 + 
       (8*t[96])/3 - (23*t[97])/9 + (88*t[98])/3 - (76*t[99])/3 - 
       (203*t[100])/6 + 4*t[101] - 3*t[102]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      (-2*t[1] + (25*t[2])/4 - (547*t[3])/18 - (1097*t[4])/72 - 
       (37*t[5])/18 - (35*t[6])/24 + (349*t[7])/9 + (989*t[8])/36 - 
       (377*t[9])/24 + (727*t[10])/48 - (757*t[11])/72 + (511*t[12])/144 - 
       (467*t[13])/54 + (1967*t[14])/288 + (1159*t[15])/24 + 2*t[20] - 
       2*t[22] + (95*t[27])/9 - (64*t[28])/9 - (221*t[29])/9 + 
       (367*t[30])/18 - (41*t[31])/3 - t[32] + t[33] + 6*t[34] - 
       (68*t[35])/3 + 6*t[36] + (19*t[37])/3 - t[38] + (4*t[39])/9 + t[40] - 
       t[41] + t[42] - 2*t[43] + t[44]/18 + 13*t[45] + (37*t[46])/12 - 
       28*t[47] - (109*t[48])/18 - (205*t[49])/16 + (169*t[50])/9 + 
       (1219*t[51])/288 - (151*t[52])/9 + (141*t[53])/16 + (51*t[54])/8 + 
       (8*t[59])/3 - (427*t[60])/9 + (178*t[61])/3 + (389*t[62])/16 - 
       (5177*t[63])/144 - (3889*t[64])/72 + (2105*t[65])/108 + 
       (5105*t[66])/216 + 2*t[69] - (4*t[72])/9 + (73*t[73])/6 + t[75]/2 - 
       8*t[76] + (55*t[78])/3 - 2*t[79] - 15*t[80] + (305*t[81])/36 + 
       (35*t[82])/36 + (205*t[83])/18 + (35*t[84])/72 - (389*t[85])/36 - 
       (4*t[86])/3 + (365*t[87])/9 + (365*t[88])/18 - (1327*t[89])/72 - 
       3*t[96] - 2*t[97] - 24*t[98] + 44*t[99] - (165*t[100])/2 - 2*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((5*t[1])/6 - (7*t[2])/12 - (127*t[3])/24 - (101*t[4])/3 + 
       (3647*t[5])/48 + (475*t[6])/24 - (445*t[7])/8 + (1019*t[8])/24 - 
       (3475*t[9])/48 - (215*t[10])/12 + (41*t[11])/3 - (1081*t[12])/48 + 
       (629*t[13])/108 + (715*t[14])/24 + (4801*t[15])/288 + 2*t[22] - 
       t[26]/3 - (14*t[27])/3 + (40*t[28])/3 - (28*t[29])/3 + (16*t[30])/3 - 
       t[31] - (8*t[32])/3 + (8*t[33])/3 + t[34]/3 - 6*t[35] + 10*t[36] + 
       2*t[37] + t[39] - (2*t[40])/3 + t[41]/3 - t[42]/3 + (143*t[43])/12 - 
       (86*t[44])/3 - (11*t[45])/6 - (5*t[46])/2 + t[47] + (211*t[48])/8 + 
       (89*t[49])/24 - (523*t[50])/24 - (125*t[51])/16 + (161*t[52])/8 - 
       (89*t[53])/24 - (359*t[54])/24 - t[58]/3 + (5*t[59])/2 - 
       (49*t[60])/2 + (61*t[61])/6 - (179*t[62])/12 + (107*t[63])/12 + 
       (145*t[64])/3 - (41*t[65])/9 - (1133*t[66])/18 + 2*t[69] + 
       (8*t[72])/3 + 33*t[73] + 41*t[75] + (19*t[76])/3 - 3*t[77] + 
       (41*t[78])/3 + (122*t[80])/3 - (13*t[81])/3 + (23*t[82])/3 - 
       (103*t[83])/3 - (35*t[84])/12 - (65*t[85])/4 + 26*t[86] + 
       (127*t[87])/12 + (127*t[88])/24 - (47*t[89])/3 + t[97]/3 - 4*t[98] + 
       8*t[99] - (159*t[100])/2 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(t[1]/2 + (79*t[2])/6 - 
       (325*t[3])/8 + (515*t[4])/24 - (523*t[5])/12 + (41*t[6])/16 - 
       (1951*t[7])/24 + (85*t[8])/8 - (73*t[9])/3 + (241*t[10])/16 - 
       (571*t[11])/16 - (2075*t[12])/48 - (1291*t[13])/144 + 
       (5741*t[14])/288 + (745*t[15])/36 + 2*t[19] - 2*t[20] + 2*t[21] + 
       8*t[22] - 2*t[23] + 18*t[24] + (4*t[25])/3 - (5*t[26])/3 + 
       (7*t[27])/3 + (10*t[28])/3 + (7*t[29])/6 + (31*t[30])/3 - 
       (2*t[31])/3 + t[32] + 5*t[33] + (7*t[34])/3 + 18*t[35] + 5*t[36] - 
       3*t[37] + (11*t[39])/3 + (17*t[40])/3 + (11*t[41])/6 - (11*t[42])/6 - 
       (53*t[43])/24 - (17*t[44])/12 + 29*t[45] + (19*t[46])/6 - 41*t[47] + 
       (1351*t[48])/48 - (43*t[49])/16 - (53*t[50])/48 + (11*t[51])/32 - 
       (41*t[52])/16 + (43*t[53])/16 + (421*t[54])/16 + t[56] - 2*t[57] - 
       t[58]/3 - (4*t[59])/3 - (11*t[60])/8 + (733*t[61])/8 + 
       (3205*t[62])/48 + (7471*t[63])/48 + (155*t[64])/16 - (165*t[65])/8 + 
       (593*t[66])/72 - t[68] - 2*t[69] - (19*t[72])/3 + 29*t[73] + 2*t[74] + 
       29*t[75] + (70*t[76])/3 - (8*t[77])/3 + (155*t[78])/3 - 5*t[79] + 
       (3*t[80])/2 + (7*t[81])/3 - (19*t[82])/2 - (40*t[83])/3 + 
       (141*t[84])/8 - (401*t[85])/24 - (1321*t[86])/12 + (205*t[87])/24 + 
       (205*t[88])/48 - (81*t[89])/16 + t[97]/3 - 16*t[98] + 20*t[99] - 
       (81*t[100])/2 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((41*t[1])/12 + (37*t[2])/6 - (397*t[3])/16 + (3019*t[4])/48 - 
       (19967*t[5])/288 - (151*t[6])/12 + (2719*t[7])/48 - (847*t[8])/144 + 
       (23543*t[9])/288 - (7121*t[10])/288 + (645*t[11])/8 + 
       (2305*t[12])/72 + (33293*t[13])/864 + (108763*t[14])/1728 - 
       (25931*t[15])/1728 - t[16]/2 - 4*t[19] + 4*t[20] + 5*t[21] - 5*t[22] - 
       5*t[23] + 8*t[25] + (19*t[26])/6 + (13*t[27])/9 + (64*t[28])/9 - 
       (251*t[29])/18 - (53*t[30])/9 - (17*t[31])/2 + (16*t[32])/3 - 
       (29*t[33])/6 + (17*t[34])/6 - (43*t[35])/3 - t[36]/2 + (11*t[37])/3 - 
       2*t[38] + (223*t[39])/18 - (31*t[40])/6 - (11*t[41])/12 + 
       (11*t[42])/12 - (649*t[43])/72 + (187*t[44])/36 + (85*t[45])/24 + 
       (11*t[46])/4 - (21*t[47])/4 - (1285*t[48])/144 + (359*t[49])/288 + 
       (505*t[50])/48 - (6349*t[51])/576 - (107*t[52])/16 + (937*t[53])/288 - 
       (1561*t[54])/72 + (7*t[58])/6 + (41*t[59])/12 + (1441*t[60])/36 + 
       (1301*t[61])/24 - (3209*t[62])/288 - (5059*t[63])/32 - 
       (7009*t[64])/72 - (913*t[65])/48 - (7757*t[66])/72 - t[68]/2 - t[69] - 
       (38*t[72])/9 + (149*t[73])/6 + (37*t[74])/6 - 33*t[75] + (5*t[76])/6 + 
       (9*t[77])/4 - (68*t[78])/3 - (20*t[79])/3 - (145*t[80])/12 + 
       (127*t[81])/36 - (317*t[82])/36 + (349*t[83])/18 + (7*t[84])/12 + 
       (329*t[85])/72 - (893*t[86])/72 + (209*t[87])/24 + (305*t[88])/48 - 
       (167*t[89])/36 - t[91]/12 - t[93] + 3*t[96] - t[97]/6 - 14*t[98] + 
       2*t[99] - (139*t[100])/6 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((5*t[1])/6 + (187*t[2])/24 - 
       (109*t[3])/4 + (449*t[4])/6 - (1139*t[5])/48 - (16*t[6])/3 - 
       (361*t[7])/12 - (4*t[8])/3 - (381*t[9])/16 - (49*t[10])/3 + 
       (787*t[11])/12 - (349*t[12])/48 + (14335*t[13])/216 - 
       (3133*t[14])/144 - (917*t[15])/288 + 3*t[17] - 4*t[19] + 4*t[20] + 
       8*t[21] - 12*t[22] - 8*t[23] + 12*t[24] + (2*t[26])/3 + (4*t[27])/3 - 
       2*t[28] - (23*t[29])/6 + (43*t[30])/6 - (20*t[31])/3 + (13*t[32])/3 + 
       (17*t[33])/3 - (20*t[34])/3 - (67*t[35])/3 + t[36] + (28*t[37])/3 + 
       2*t[38] - (8*t[39])/3 + (10*t[40])/3 + (13*t[41])/3 - (13*t[42])/3 - 
       (65*t[43])/24 + (25*t[44])/4 + (41*t[45])/3 + t[46] - 6*t[47] - 
       (59*t[48])/24 - (59*t[49])/12 + (275*t[50])/24 - (7*t[51])/12 - 
       (97*t[52])/8 + (59*t[53])/12 - (443*t[54])/24 - t[56] - 2*t[57] + 
       (2*t[58])/3 - (11*t[59])/6 - (413*t[60])/8 + (1465*t[61])/24 + 
       (181*t[62])/48 - (1679*t[63])/16 + (5621*t[64])/48 - (2249*t[65])/18 - 
       (2987*t[66])/24 - 6*t[69] - (2*t[72])/3 + 41*t[73] + 2*t[74] - 
       (199*t[75])/6 + (85*t[76])/3 - (5*t[77])/2 - 16*t[78] - 7*t[79] + 
       (119*t[80])/3 - (79*t[81])/12 - (157*t[82])/12 + (85*t[83])/2 - 
       (323*t[84])/24 - (29*t[85])/6 + (161*t[86])/12 + (311*t[87])/6 + 
       (311*t[88])/12 - (219*t[89])/16 - (8*t[97])/3 + 28*t[98] - 104*t[99] - 
       (119*t[100])/6 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*((-21*t[2])/4 - (67*t[3])/12 + 
       (35*t[4])/6 - (59*t[5])/4 - (317*t[6])/24 + (17*t[7])/12 - 
       (229*t[8])/12 + (7*t[9])/2 + (89*t[10])/12 + (157*t[11])/8 + 
       (47*t[12])/4 + (145*t[13])/72 + (98*t[14])/9 - (89*t[15])/24 - 
       t[22]/2 + t[24]/3 + (5*t[27])/3 - (13*t[28])/3 - (2*t[29])/3 + 
       (17*t[30])/3 + t[31]/3 - 4*t[35] + t[37] - (8*t[39])/3 + t[41]/2 - 
       t[42]/2 - t[43]/2 + (8*t[44])/3 + (3*t[46])/2 - (37*t[48])/8 - 
       3*t[49] - (9*t[50])/8 - (5*t[51])/24 + (9*t[52])/8 + 3*t[53] - 
       (61*t[54])/24 - t[59] - (17*t[60])/6 + (56*t[61])/3 - (51*t[62])/8 + 
       (121*t[63])/24 + (93*t[64])/4 - (103*t[65])/6 - (275*t[66])/12 + 
       (8*t[72])/3 - t[73] + 2*t[74] - 14*t[75] - 8*t[78] + (3*t[79])/2 - 
       t[80] + t[81]/6 - (17*t[82])/6 + (25*t[83])/6 - t[84] + 
       (29*t[85])/12 - (11*t[86])/2 - (25*t[87])/12 - (25*t[88])/24 - 
       (3*t[89])/4 - 18*t[98] + 8*t[99] - (11*t[100])/2 - 2*t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((11*t[1])/12 + 6*t[2] - (89*t[3])/8 - (25*t[4])/12 - (45*t[5])/4 - 
       (841*t[6])/96 - (49*t[7])/48 + (1055*t[8])/48 - (229*t[9])/8 + 
       (799*t[10])/48 + (129*t[11])/32 + (443*t[12])/48 + (101*t[13])/12 + 
       (523*t[14])/288 + (1093*t[15])/48 + (5*t[27])/3 - (10*t[28])/3 - 
       (2*t[29])/3 + (17*t[30])/3 + (19*t[31])/12 - 6*t[35] - (8*t[39])/3 - 
       (17*t[43])/24 + (2*t[44])/3 + (9*t[45])/2 + (5*t[46])/2 - 11*t[47] - 
       (641*t[48])/96 - (133*t[49])/24 + (213*t[50])/32 + (55*t[51])/16 - 
       (213*t[52])/32 + (133*t[53])/24 + (131*t[54])/32 + (11*t[59])/12 - 
       (205*t[60])/48 + (907*t[61])/16 + (27*t[62])/2 - (259*t[63])/6 + 
       (397*t[64])/32 - (3197*t[65])/144 - (2105*t[66])/144 + (8*t[72])/3 + 
       5*t[73] + 2*t[74] - 10*t[75] - 5*t[76] - t[77]/2 + 4*t[78] - 
       t[79]/24 - 4*t[80] - t[81]/24 - (9*t[82])/8 + 18*t[83] - 
       (13*t[84])/12 - (179*t[85])/48 + (25*t[86])/24 + (65*t[87])/16 + 
       (65*t[88])/32 - (2329*t[89])/96 - 18*t[98] + 8*t[99] + (9*t[100])/2 - 
       2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(2*t[1] - (283*t[2])/8 - (157*t[3])/18 + 
       (1531*t[4])/18 - (3085*t[5])/72 - (131*t[6])/24 - (4645*t[7])/72 - 
       (1049*t[8])/72 - (787*t[9])/12 + (1267*t[10])/24 + (3239*t[11])/72 - 
       (2323*t[12])/72 + (30191*t[13])/432 + (13*t[14])/12 - (31*t[15])/24 + 
       t[17] + 2*t[19] + 14*t[20] - 6*t[21] - 6*t[22] + 6*t[23] + 6*t[24] - 
       (31*t[27])/9 - (46*t[28])/9 - (199*t[29])/18 - (40*t[30])/9 + 
       (50*t[31])/3 - t[32]/2 + (21*t[33])/2 - 17*t[34] + 33*t[35] + 
       3*t[36] - (22*t[37])/3 + 4*t[38] - (5*t[39])/9 - 2*t[41] + 2*t[42] - 
       (5*t[43])/8 + (407*t[44])/36 + 44*t[45] - (25*t[46])/6 - 43*t[47] - 
       (763*t[48])/72 + (97*t[49])/12 + (251*t[50])/72 + (205*t[51])/72 - 
       (827*t[52])/72 - (97*t[53])/12 - (153*t[54])/8 - t[56] + 2*t[57] - 
       (20*t[59])/3 - (367*t[60])/36 + (1031*t[61])/12 + (215*t[62])/24 - 
       (4237*t[63])/72 + (433*t[64])/9 - (30977*t[65])/216 - 
       (13637*t[66])/108 - t[68] + 6*t[69] - (4*t[72])/9 + (92*t[73])/3 - 
       2*t[74] - (175*t[75])/6 + 17*t[76] + 3*t[77] + (29*t[78])/3 - 
       11*t[79] - (31*t[80])/2 - (175*t[81])/36 - (715*t[82])/36 + 
       (619*t[83])/18 - (1165*t[84])/72 - (221*t[85])/36 - (395*t[86])/12 + 
       (1217*t[87])/36 + (1217*t[88])/72 - (583*t[89])/72 - 4*t[97] - 
       24*t[98] + 44*t[99] + (37*t[100])/6 - 2*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((19*t[1])/4 + (50*t[2])/3 - (505*t[3])/36 + 
       (671*t[4])/18 - (5611*t[5])/144 + (1153*t[6])/48 - (209*t[7])/72 + 
       (1909*t[8])/36 + (1163*t[9])/48 + (601*t[10])/24 + (155*t[11])/144 - 
       (2071*t[12])/144 - (2051*t[13])/432 + (6001*t[14])/96 - 
       (437*t[15])/96 + t[16] - t[24] + (10*t[25])/3 + (23*t[26])/6 - 
       (5*t[27])/9 + (37*t[28])/9 + (14*t[29])/9 + (13*t[30])/9 + 
       (2*t[31])/3 + t[32]/2 - t[33]/2 - (5*t[34])/3 + 10*t[35] + 
       (21*t[36])/2 - (11*t[37])/3 + (3*t[38])/2 + (23*t[39])/9 + 
       (8*t[40])/3 - t[41]/6 + t[42]/6 - (47*t[43])/12 - (41*t[44])/9 - 
       (27*t[45])/8 - (65*t[46])/12 + (25*t[47])/4 + (1235*t[48])/144 + 
       (335*t[49])/24 + (1139*t[50])/144 - (2947*t[51])/288 + 
       (61*t[52])/144 - (323*t[53])/24 + (161*t[54])/48 + (5*t[58])/3 - 
       (19*t[59])/6 + (6181*t[60])/144 + (2713*t[61])/48 - (475*t[62])/24 + 
       (587*t[63])/36 - (14843*t[64])/288 - (883*t[65])/216 - 
       (12535*t[66])/432 - (3*t[68])/2 - (29*t[72])/9 + (65*t[73])/6 - 
       6*t[74] - (31*t[75])/3 - (47*t[76])/3 - (77*t[77])/12 + 32*t[78] - 
       (41*t[79])/2 - (39*t[80])/4 - (17*t[81])/9 - (251*t[82])/36 - 
       (7*t[83])/18 + (1385*t[84])/144 - (31*t[85])/144 - (311*t[86])/24 + 
       (3625*t[87])/144 + (3625*t[88])/288 + (6439*t[89])/288 - t[91]/12 + 
       t[93] - (5*t[97])/3 - 14*t[98] + 2*t[99] + (103*t[100])/6 - 
       2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*(7*t[1] - (10*t[2])/3 - (127*t[3])/12 + 
       (165*t[4])/8 + (5*t[5])/6 - (111*t[6])/16 + (89*t[7])/4 - 
       (44*t[8])/3 - (11*t[9])/12 - (1189*t[10])/48 + (2741*t[11])/48 - 
       (211*t[12])/48 + (47*t[13])/2 + (13801*t[14])/288 - (1285*t[15])/144 - 
       (8*t[25])/3 + t[26]/3 - t[27] - (26*t[28])/3 - 7*t[29] - 
       (17*t[30])/6 + 5*t[31] - (8*t[34])/3 + (22*t[35])/3 - (25*t[37])/3 + 
       4*t[38] - (25*t[39])/3 + (11*t[40])/3 + (4*t[41])/3 - (4*t[42])/3 + 
       (49*t[43])/6 + (40*t[44])/3 - 4*t[45] - (73*t[46])/12 + 8*t[47] - 
       (251*t[48])/16 + (151*t[49])/16 - (73*t[50])/48 - (41*t[51])/32 + 
       (137*t[52])/48 - (95*t[53])/16 - (215*t[54])/16 + (2*t[58])/3 - 
       (5*t[59])/2 + (137*t[60])/3 + 43*t[61] - (2333*t[62])/48 - 
       (4703*t[63])/48 - (249*t[64])/8 - (3167*t[65])/36 - (7129*t[66])/72 + 
       2*t[69] + (23*t[72])/3 + (11*t[73])/2 - 4*t[74] - (29*t[75])/6 + 
       (10*t[76])/3 - (14*t[77])/3 - (20*t[78])/3 - 8*t[79] + 23*t[80] - 
       (9*t[81])/4 - (25*t[82])/12 + (25*t[83])/2 + (67*t[84])/8 + 
       (46*t[85])/3 + 46*t[86] - (47*t[87])/12 - (47*t[88])/24 - 
       (683*t[89])/24 + 3*t[96] + (4*t[97])/3 + 40*t[98] - 116*t[99] + 
       (179*t[100])/6 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (7*t[1] + (413*t[2])/24 - (55*t[3])/48 + (65*t[4])/4 - (285*t[5])/32 + 
       6*t[6] - (1259*t[7])/48 + (467*t[8])/16 + (297*t[9])/32 + 
       (161*t[10])/16 - 4*t[11] - (2029*t[12])/96 + (4891*t[13])/864 + 
       (313*t[14])/18 - (6773*t[15])/576 + t[16] - 2*t[19] + t[20] + 
       (7*t[25])/3 + (3*t[26])/2 + (14*t[27])/3 + (17*t[28])/3 + 
       (7*t[29])/3 - (22*t[30])/3 + (7*t[31])/6 + (17*t[32])/6 - 
       (11*t[33])/6 - (4*t[34])/3 + 13*t[35] + (9*t[36])/2 - 3*t[37] + 
       (9*t[38])/2 + (25*t[39])/6 - (3*t[40])/2 - t[41]/3 + t[42]/3 + 
       (115*t[43])/24 - (19*t[44])/3 - (311*t[45])/24 - (25*t[46])/12 + 
       (111*t[47])/4 + (233*t[48])/48 + (95*t[49])/24 + (59*t[50])/16 - 
       (227*t[51])/32 + (191*t[52])/48 - (95*t[53])/24 - (155*t[54])/48 + 
       (4*t[58])/3 - (119*t[59])/12 - (553*t[60])/16 + (239*t[61])/48 + 
       (47*t[62])/16 - (6043*t[63])/48 + (3281*t[64])/96 - (767*t[65])/36 - 
       (2827*t[66])/144 - t[68] + (22*t[72])/3 + 14*t[73] - (3*t[74])/2 - 
       11*t[75] - (46*t[76])/3 - (107*t[77])/12 + (94*t[78])/3 - 
       (50*t[79])/3 + (221*t[80])/12 - (85*t[81])/12 + (37*t[82])/4 + 
       (215*t[83])/6 - (815*t[84])/48 - (87*t[85])/16 + t[86]/24 + 
       (3887*t[87])/48 + (3887*t[88])/96 + (1123*t[89])/96 - t[91]/12 + 
       t[93] - (16*t[97])/3 - 104*t[98] + 80*t[99] + 97*t[100] - 2*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((23*t[1])/4 + (17*t[2])/48 + (95*t[3])/48 - (77*t[4])/96 - 
       (2129*t[5])/48 - (147*t[6])/4 - 8*t[7] - (4331*t[8])/48 + 
       (131*t[9])/3 + (2509*t[10])/64 - (1333*t[11])/48 - (1491*t[12])/64 - 
       (16373*t[13])/288 + (21131*t[14])/1152 - (11611*t[15])/576 + 
       (3*t[16])/4 - (17*t[25])/3 - (13*t[26])/6 + (5*t[27])/3 + 
       (17*t[28])/3 - (11*t[29])/3 + (11*t[30])/3 + (59*t[31])/6 + t[32]/4 - 
       t[33]/4 + (31*t[34])/12 - (5*t[35])/2 - (25*t[36])/4 + (33*t[37])/4 + 
       10*t[38] + (133*t[39])/12 - (67*t[40])/12 - (19*t[41])/24 + 
       (19*t[42])/24 - (59*t[43])/24 + (14*t[44])/3 + (53*t[45])/16 + 
       (163*t[46])/24 - (51*t[47])/8 - (187*t[48])/8 + (1659*t[49])/64 + 
       (71*t[50])/8 - (4399*t[51])/384 - (211*t[52])/24 - (699*t[53])/64 - 
       (35*t[54])/32 - (19*t[58])/12 - (131*t[59])/24 - (3643*t[60])/96 - 
       (1077*t[61])/32 + (1903*t[62])/192 + (10835*t[63])/64 + 
       (6173*t[64])/192 - (22261*t[65])/288 - (1245*t[66])/32 - (5*t[68])/8 - 
       6*t[69] - 2*t[70] + 2*t[71] - 10*t[72] + 19*t[73] + 8*t[74] - 
       (39*t[75])/2 + (337*t[76])/12 + (13*t[77])/3 - (593*t[78])/24 + 
       (29*t[79])/2 - (33*t[80])/2 + (71*t[81])/3 - (229*t[82])/24 + 
       22*t[83] - (1817*t[84])/96 + (1817*t[85])/96 - (587*t[86])/24 - 
       (1539*t[87])/32 - (2819*t[88])/64 - (8143*t[89])/192 + t[90]/8 - 
       t[91]/24 - t[93]/2 + 10*t[95] + 4*t[96] - (29*t[97])/12 + 163*t[98] - 
       162*t[99] - (413*t[100])/4 - (3*t[102])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((10*t[1])/3 + (5*t[2])/3 - 4*t[3] - (4529*t[4])/96 + (791*t[5])/24 - 
       (1375*t[6])/48 + (2321*t[7])/48 + (1007*t[8])/48 + (61*t[9])/24 - 
       (10649*t[10])/192 + (2225*t[11])/24 + (439*t[12])/192 + 
       (1562*t[13])/27 + (15197*t[14])/384 + (11243*t[15])/576 - 
       (3*t[16])/8 + 7*t[18] + 3*t[19] + 7*t[21] - 8*t[22] - 7*t[23] + 
       11*t[24] + (5*t[25])/2 - (31*t[26])/12 - (23*t[27])/6 - t[28]/3 - 
       (7*t[29])/6 + (8*t[30])/3 - (41*t[32])/12 + (41*t[33])/12 + 
       (67*t[34])/12 - 7*t[35] - (3*t[36])/2 - (9*t[37])/2 + 4*t[38] - 
       (19*t[39])/12 + (85*t[40])/12 + (53*t[41])/24 - (5*t[42])/24 + 
       (31*t[43])/24 + (17*t[44])/3 - (67*t[45])/48 + (43*t[46])/8 + 
       (147*t[47])/8 - (37*t[48])/12 - (671*t[49])/192 - (13*t[50])/2 + 
       (197*t[51])/384 - (65*t[52])/12 + (719*t[53])/192 + (427*t[54])/96 + 
       (5*t[58])/12 - (65*t[59])/8 + (6629*t[60])/96 + (16801*t[61])/96 - 
       (26393*t[62])/192 - (3383*t[63])/192 + (10595*t[64])/64 + 
       (23077*t[65])/288 - (45847*t[66])/288 - (7*t[68])/8 - 9*t[69] - 
       9*t[70] + 9*t[71] - (13*t[72])/2 + 13*t[73] + 4*t[74] - (17*t[75])/2 + 
       (361*t[76])/12 - (13*t[77])/2 - (407*t[78])/24 - 5*t[79] + 
       (547*t[80])/6 + (103*t[81])/8 - (21*t[82])/4 - 15*t[83] + 
       (251*t[84])/32 + (349*t[85])/96 + (549*t[86])/8 - (2261*t[87])/96 - 
       (2261*t[88])/192 + (579*t[89])/64 + t[90]/8 - t[91]/24 - t[93]/2 + 
       (19*t[97])/12 + 163*t[98] - 162*t[99] - (413*t[100])/4 - 
       (3*t[102])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((13*t[1])/8 - (125*t[2])/16 - (243*t[3])/32 - (47*t[4])/32 - 
       (789*t[5])/64 - (435*t[6])/64 + (3*t[7])/32 + (395*t[8])/32 + 
       (223*t[9])/64 + (425*t[10])/64 + (1547*t[11])/64 + (175*t[12])/16 - 
       (563*t[13])/576 + (2909*t[14])/384 + (6655*t[15])/1152 + t[24] - 
       t[27] - (7*t[28])/2 + t[30]/2 - (3*t[31])/2 + (3*t[32])/4 - 
       (3*t[33])/4 - (7*t[34])/2 + (23*t[35])/2 + (61*t[36])/4 + 
       (3*t[38])/4 + (5*t[39])/2 + (13*t[40])/8 + t[41]/4 - t[42]/4 + 
       (7*t[43])/16 - (17*t[44])/8 + (17*t[45])/8 + (19*t[46])/8 - 
       (7*t[47])/2 + (713*t[48])/64 + (257*t[49])/64 + (165*t[50])/64 - 
       (729*t[51])/128 - (261*t[52])/64 - (65*t[53])/64 - (375*t[54])/64 + 
       (3*t[59])/2 - (97*t[60])/4 + (385*t[61])/8 - (369*t[62])/16 - 
       (133*t[63])/16 + (549*t[64])/16 + (249*t[65])/16 - (731*t[66])/48 - 
       t[68] + 23*t[73] - 23*t[75] + (41*t[76])/4 - (11*t[77])/4 - 
       (53*t[78])/4 + (21*t[79])/2 + t[80] + (57*t[81])/8 - (39*t[82])/8 + 
       (9*t[83])/2 - (11*t[84])/4 - (159*t[85])/16 + 13*t[86] + 
       (123*t[87])/16 + (123*t[88])/32 - (41*t[89])/8 + (21*t[96])/4 + 
       3*t[97] + 99*t[98] - 108*t[99] - (89*t[100])/2 - (3*t[102])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*(-t[1]/8 - (123*t[2])/16 - 
       (1313*t[3])/32 - (9*t[4])/8 - (1503*t[5])/32 - (1337*t[6])/64 + 
       (1541*t[7])/32 - (911*t[8])/32 + (3585*t[9])/32 + (1317*t[10])/32 + 
       (527*t[11])/64 + (791*t[12])/32 - (349*t[13])/576 + (8375*t[14])/192 - 
       (887*t[15])/36 + (15*t[17])/8 + t[19] + 7*t[20] + (3*t[21])/2 - 
       10*t[22] - (3*t[23])/2 - (13*t[24])/4 - 7*t[27] + (15*t[28])/2 - 
       (27*t[29])/8 + (31*t[30])/4 - 21*t[31] - (15*t[33])/4 + (37*t[34])/2 - 
       (5*t[35])/2 + (5*t[36])/4 + (5*t[37])/2 - (7*t[38])/2 + (13*t[39])/2 - 
       6*t[40] + (3*t[41])/2 - (5*t[42])/2 - (237*t[43])/32 - (41*t[44])/16 - 
       (83*t[45])/4 - (21*t[46])/8 + (75*t[47])/2 + (491*t[48])/64 + 
       (39*t[49])/2 + (1503*t[50])/64 - (331*t[51])/32 - (1055*t[52])/64 - 
       (31*t[53])/2 - (1023*t[54])/64 - (7*t[56])/4 - (3*t[57])/2 + 
       (5*t[59])/8 + (1107*t[60])/32 + (1615*t[61])/32 - (2919*t[62])/64 + 
       (4079*t[63])/64 + (2307*t[64])/64 + (5501*t[65])/96 - 
       (3851*t[66])/96 - (21*t[68])/8 + 2*t[69] - (13*t[72])/2 + 13*t[73] - 
       2*t[74] - 7*t[75] + (65*t[76])/4 + 3*t[77] - (115*t[78])/8 + 
       25*t[79] + 10*t[80] + (33*t[81])/2 + (13*t[82])/8 - (5*t[83])/2 + 
       (1157*t[84])/32 - (573*t[85])/32 - (97*t[86])/8 - (1075*t[87])/32 - 
       (1075*t[88])/64 + (1031*t[89])/64 + (9*t[90])/8 - t[91]/24 + t[93]/2 + 
       3*t[96] + (23*t[97])/4 + 99*t[98] - 108*t[99] - (89*t[100])/2 - 
       (3*t[102])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-17*t[1])/144 - (1283*t[2])/72 - 
       (1253*t[3])/64 - (1919*t[4])/288 - (12211*t[5])/1152 + 
       (1619*t[6])/144 + (13613*t[7])/576 - (1861*t[8])/576 + 
       (29575*t[9])/1152 + (391*t[10])/36 - (1007*t[11])/144 - 
       (3427*t[12])/1152 - (110435*t[13])/10368 + (6971*t[14])/288 + 
       (124231*t[15])/6912 + t[18]/2 - 2*t[19] + (5*t[20])/2 + 2*t[21] - 
       t[22]/2 + t[25] - (5*t[26])/18 - (71*t[27])/18 + (43*t[28])/18 + 
       (313*t[29])/36 + (79*t[30])/18 - (2*t[31])/3 + (259*t[32])/36 - 
       (61*t[33])/36 - (110*t[34])/9 - (20*t[35])/3 + (21*t[36])/4 + 
       (10*t[37])/3 + t[38]/2 - (155*t[39])/18 + (593*t[40])/72 - 
       (8*t[41])/9 - t[42]/9 + (1255*t[43])/288 + (587*t[44])/36 + 
       (23*t[45])/9 - (11*t[46])/12 - (19*t[47])/6 + (4565*t[48])/576 - 
       (5441*t[49])/576 + (1289*t[50])/64 + (5813*t[51])/1152 - 
       (14129*t[52])/576 + (4865*t[53])/576 + (4745*t[54])/576 - 
       (5*t[58])/18 + (341*t[59])/48 + (4111*t[60])/144 + (7277*t[61])/144 + 
       (5723*t[62])/288 + (7445*t[63])/288 - (7823*t[64])/96 + 
       (29665*t[65])/864 + (71555*t[66])/864 + t[68] + t[69]/3 + 
       (3*t[70])/2 - (3*t[71])/2 - (11*t[72])/2 + (283*t[73])/12 - t[74]/2 - 
       (253*t[75])/12 + (151*t[76])/36 + (7*t[77])/8 - (64*t[78])/9 - 
       t[79]/2 + (173*t[80])/36 - (7*t[81])/2 - (44*t[82])/3 - (49*t[83])/2 + 
       (65*t[84])/6 + (119*t[85])/9 - 36*t[86] - (391*t[87])/36 + 
       (365*t[88])/72 + (2681*t[89])/96 - t[95] - (17*t[96])/4 + 
       (37*t[97])/36 + (262*t[98])/3 - (496*t[99])/3 + (154*t[100])/3 - 
       (3*t[102])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((5*t[1])/12 - (1297*t[2])/144 - 
       (3095*t[3])/288 - (18619*t[4])/576 + (1097*t[5])/48 - 
       (18505*t[6])/576 - (2925*t[7])/32 - (273*t[8])/32 - (3637*t[9])/72 + 
       (1919*t[10])/384 - (1927*t[11])/64 - (10187*t[12])/1152 - 
       (1543*t[13])/96 - (298525*t[14])/6912 - (24571*t[15])/1152 - t[17]/8 - 
       t[18] - (23*t[20])/2 + (13*t[22])/2 + (79*t[24])/36 - (2*t[25])/9 - 
       (85*t[26])/72 + (50*t[27])/9 + (7*t[28])/18 - (481*t[29])/72 - 
       (133*t[30])/36 + (17*t[31])/9 + (7*t[32])/2 - (3*t[33])/4 + 
       (59*t[34])/18 - 2*t[35] - t[36]/6 + (23*t[37])/6 + (3*t[38])/8 - 
       t[39]/18 + (19*t[40])/18 + (19*t[41])/9 - (19*t[42])/9 + 
       (743*t[43])/288 - (1963*t[44])/144 + (19*t[45])/4 + (377*t[46])/144 + 
       (35*t[47])/6 - (4321*t[48])/576 - (6677*t[49])/1152 - 
       (16925*t[50])/576 + t[51]/256 + (6047*t[52])/192 + (3917*t[53])/1152 - 
       (27*t[54])/16 + (3*t[56])/4 + t[57]/2 - (5*t[58])/18 - 
       (613*t[59])/144 + (109*t[60])/576 - (82111*t[61])/576 - 
       (18815*t[62])/1152 - (23035*t[63])/384 + (273469*t[64])/1152 - 
       (25867*t[65])/576 - (85463*t[66])/1728 - (5*t[68])/8 - (3*t[69])/2 + 
       t[70]/2 - t[71]/2 - (25*t[72])/3 + 18*t[73] + (107*t[74])/12 - 
       (151*t[75])/6 + (133*t[76])/9 + (23*t[77])/18 - (1787*t[78])/72 + 
       (659*t[79])/24 + (35*t[80])/6 + (91*t[81])/72 - (643*t[82])/72 + 
       (65*t[83])/9 - (71*t[84])/192 + (3725*t[85])/192 + (523*t[86])/12 + 
       (4591*t[87])/576 + (16399*t[88])/1152 + (7963*t[89])/1152 - 
       (3*t[90])/8 - t[91]/24 - (3*t[93])/2 - t[95] - (9*t[96])/2 - 
       (11*t[97])/9 + (247*t[98])/3 - (481*t[99])/3 + (199*t[100])/3 - 
       (3*t[102])/2) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*((11*t[1])/4 + (305*t[2])/48 - (19*t[3])/48 + 
       (949*t[4])/48 - (919*t[5])/24 + (153*t[6])/8 + (89*t[7])/24 + 
       (1829*t[8])/48 + (1627*t[9])/48 - (4091*t[10])/96 - (73*t[11])/4 - 
       (535*t[12])/96 - (4429*t[13])/432 - (1265*t[14])/144 - 
       (2725*t[15])/96 + (3*t[16])/4 - t[19]/6 + (5*t[25])/2 + 
       (41*t[26])/12 + (3*t[27])/2 + (10*t[28])/3 + (13*t[29])/6 - 
       (17*t[30])/3 - (5*t[31])/2 + (35*t[32])/12 - (41*t[33])/12 - 
       (23*t[34])/12 + (17*t[35])/2 + (7*t[36])/4 - 3*t[37] - t[38]/12 + 
       (49*t[39])/12 - (35*t[40])/6 + (11*t[41])/24 - (11*t[42])/24 - 
       (29*t[43])/12 - (25*t[44])/6 - (869*t[45])/48 - 2*t[46] + 
       (327*t[47])/8 + (347*t[48])/24 + (305*t[49])/96 + (45*t[50])/8 - 
       (183*t[51])/32 + (45*t[52])/8 - (217*t[53])/96 + (10*t[54])/3 + 
       (8*t[58])/3 - (263*t[59])/72 - (134*t[60])/3 - (809*t[61])/16 - 
       (107*t[62])/48 - (4849*t[63])/48 + (13273*t[64])/96 - (49*t[65])/12 + 
       (77*t[66])/12 + (5*t[68])/12 - t[69]/2 + t[72] + 13*t[73] - 
       (3*t[74])/2 - 14*t[75] - (52*t[76])/3 - 10*t[77] + 12*t[78] + 
       (9*t[79])/2 + (311*t[80])/12 - (95*t[81])/12 + (29*t[82])/3 + 
       (73*t[83])/4 + t[84]/12 - (25*t[85])/8 + (575*t[86])/8 + 
       (2551*t[87])/48 + (845*t[88])/32 + (731*t[89])/24 + t[90]/12 - 
       t[91]/24 + t[93]/2 - 3*t[97] - 136*t[98] + 127*t[99] + 
       (453*t[100])/4 - 3*t[101] - (3*t[102])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      ((347*t[1])/72 + (509*t[2])/48 - (65*t[3])/32 + (1747*t[4])/96 - 
       (5015*t[5])/192 + (2533*t[6])/96 - (1187*t[7])/96 + (2305*t[8])/96 + 
       (331*t[9])/192 - (3479*t[10])/192 - (847*t[11])/32 - (469*t[12])/96 - 
       (1303*t[13])/192 - (19135*t[14])/1152 - (5165*t[15])/384 + t[16]/6 - 
       t[17]/12 - t[22]/6 + t[24]/6 - (4*t[25])/3 + (25*t[26])/6 + 
       (5*t[27])/6 + (13*t[28])/3 + (13*t[29])/6 - (20*t[30])/3 + 
       (11*t[31])/3 + (9*t[32])/4 - (31*t[33])/12 - (23*t[34])/12 + 8*t[35] + 
       (91*t[36])/12 + t[37]/2 + 3*t[38] + (17*t[39])/4 - (14*t[40])/3 + 
       (23*t[41])/24 - (23*t[42])/24 - (191*t[43])/48 - (13*t[44])/6 - 
       (299*t[45])/48 - (11*t[46])/8 + (431*t[47])/24 + (295*t[48])/16 - 
       (353*t[49])/64 + (353*t[50])/48 - (1879*t[51])/384 + (65*t[52])/16 + 
       (241*t[53])/64 + (553*t[54])/96 + (7*t[58])/3 - (377*t[59])/72 - 
       (635*t[60])/32 - (631*t[61])/96 + (12431*t[62])/192 - 
       (5215*t[63])/192 + (2785*t[64])/192 + (4055*t[65])/288 + 
       (11177*t[66])/288 - (3*t[68])/4 - (3*t[69])/2 - 3*t[72] + 11*t[73] + 
       t[74] + t[75] - (58*t[76])/3 - (31*t[77])/6 + 29*t[78] - 13*t[79] - 
       (53*t[80])/3 - (7*t[81])/12 - (155*t[82])/24 - (47*t[83])/4 + 
       (1337*t[84])/96 - (157*t[85])/32 - (439*t[86])/8 + (4283*t[87])/96 + 
       (4283*t[88])/192 + (1503*t[89])/64 + t[90]/12 - t[91]/24 + t[93]/2 - 
       (19*t[97])/6 - 142*t[98] + 133*t[99] + (531*t[100])/4 - 3*t[101] - 
       (3*t[102])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((3*t[1])/2 - (49*t[2])/12 + (85*t[3])/8 - 
       (713*t[4])/16 + (175*t[5])/48 - (283*t[6])/48 - (343*t[7])/8 - 
       (487*t[8])/24 - (481*t[9])/48 - (267*t[10])/32 - (2263*t[11])/48 - 
       (433*t[12])/32 - (20131*t[13])/432 - (1267*t[14])/576 - 
       (809*t[15])/144 - t[16]/2 - 2*t[19] - 2*t[20] - t[21] + t[23] - 
       7*t[25] - (11*t[26])/6 - 7*t[28] + 4*t[29] + t[30] - 3*t[32] + 
       3*t[33] + (23*t[34])/6 - 3*t[36] + 3*t[37] + (37*t[38])/6 - 
       (43*t[39])/6 + 12*t[40] - (35*t[41])/12 + (35*t[42])/12 - 
       (3*t[43])/4 - (7*t[44])/2 + 3*t[45] + 5*t[46] - 6*t[47] - 
       (521*t[48])/48 + (151*t[49])/32 - (65*t[50])/48 - (613*t[51])/192 + 
       (3*t[52])/16 + (81*t[53])/32 + (937*t[54])/24 - t[58]/2 - 
       (79*t[59])/12 - (991*t[60])/16 - (1045*t[61])/16 + (983*t[62])/32 + 
       (5729*t[63])/32 + (5957*t[64])/96 - (2653*t[65])/144 + 
       (3227*t[66])/144 - t[68] - (3*t[72])/2 - 5*t[73] - 3*t[74] - 
       11*t[75] + (16*t[76])/3 - (37*t[77])/12 - (13*t[78])/6 + 4*t[79] - 
       (26*t[80])/3 + (32*t[81])/3 + (23*t[82])/6 + 33*t[83] - 
       (833*t[84])/48 + (277*t[85])/16 - 12*t[86] - (429*t[87])/16 - 
       (2239*t[88])/96 - (5371*t[89])/96 + 8*t[95] - 5*t[96] - (31*t[97])/6 + 
       62*t[98] - 60*t[99] - (655*t[100])/6 - t[102]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      (-4*t[1] + (119*t[2])/6 + (601*t[3])/24 - (293*t[4])/16 + 
       (1457*t[5])/288 - (16135*t[6])/288 + (685*t[7])/16 - (8237*t[8])/144 + 
       (20069*t[9])/288 - (6259*t[10])/96 + (13621*t[11])/288 - 
       (139*t[12])/72 + (1783*t[13])/32 + (63143*t[14])/1728 - 
       (60167*t[15])/1728 + (5*t[17])/2 + (79*t[18])/18 + t[19] + 11*t[20] + 
       8*t[21] - 16*t[22] - 8*t[23] + (121*t[24])/18 + t[25] - (7*t[26])/2 - 
       8*t[27] + 10*t[28] + (7*t[29])/4 - (15*t[30])/2 + (13*t[31])/18 - 
       (11*t[32])/6 + (41*t[33])/6 + (55*t[34])/6 + 5*t[35] + (3*t[36])/2 + 
       4*t[37] + t[38]/3 + t[39]/6 + (4*t[40])/3 + (17*t[41])/12 - 
       (7*t[42])/4 - (19*t[43])/18 - (15*t[44])/8 - (41*t[45])/6 - 
       (43*t[46])/4 + (80*t[47])/3 - (5947*t[48])/288 + (5555*t[49])/288 - 
       (3383*t[50])/288 - (983*t[51])/576 + (2375*t[52])/288 - 
       (5555*t[53])/288 - (925*t[54])/96 - (7*t[56])/6 - (5*t[57])/3 - 
       t[58]/2 + (9*t[59])/4 + (5929*t[60])/48 + (19555*t[61])/144 - 
       (47261*t[62])/288 + (12283*t[63])/96 + (2347*t[64])/32 + 
       (36463*t[65])/432 - (14783*t[66])/54 - t[68] - 3*t[69] - (7*t[70])/2 + 
       (7*t[71])/2 - 8*t[72] + 4*t[73] - 8*t[74] - t[75] + (37*t[76])/3 + 
       (5*t[77])/4 - (83*t[78])/6 - t[79]/6 + (889*t[80])/12 + 25*t[81] - 
       (83*t[82])/12 - (503*t[83])/36 + (5753*t[84])/144 + (4045*t[85])/144 + 
       (6307*t[86])/72 - (15493*t[87])/144 - (15781*t[88])/288 + 
       (455*t[89])/96 + (10*t[97])/3 + 62*t[98] - 60*t[99] - 
       (1253*t[100])/12 - t[102]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-2*t[1])/3 + 4*t[2] - (2779*t[3])/48 - 
       (8773*t[4])/96 + (1655*t[5])/48 + (2357*t[6])/96 - (645*t[7])/16 + 
       (1761*t[8])/16 - (427*t[9])/24 + (19499*t[10])/192 - (427*t[11])/32 - 
       (1985*t[12])/192 + (3635*t[13])/432 + (110485*t[14])/1152 + 
       (29987*t[15])/576 + t[17] + (2*t[18])/3 - 4*t[19] - 10*t[20] + 
       4*t[21] + (53*t[22])/6 - (10*t[23])/3 + (35*t[24])/6 + (7*t[25])/2 - 
       (31*t[26])/12 - t[27]/2 + (59*t[28])/3 + (9*t[29])/4 - (77*t[30])/12 - 
       (7*t[31])/3 - (10*t[32])/3 + (22*t[33])/3 + (9*t[34])/2 - 
       (7*t[35])/3 + (21*t[36])/4 + (7*t[37])/6 - (11*t[38])/12 + 5*t[39] + 
       (15*t[40])/4 - (8*t[41])/3 + (7*t[42])/2 + (119*t[43])/48 - 
       (173*t[44])/24 + (535*t[45])/12 + (227*t[46])/48 - (653*t[47])/12 + 
       (2521*t[48])/96 - (69*t[49])/64 - (2347*t[50])/96 - (2197*t[51])/384 + 
       (2011*t[52])/96 + (131*t[53])/192 + (1157*t[54])/48 + (5*t[56])/6 - 
       t[57]/3 + t[58]/6 - (5*t[59])/3 - (1883*t[60])/32 + (4945*t[61])/96 + 
       (2719*t[62])/192 + (31229*t[63])/192 + (10735*t[64])/192 + 
       (38735*t[65])/288 - (69*t[66])/32 - t[68]/2 - 2*t[69] - 3*t[70] + 
       3*t[71] - (4*t[72])/3 + 14*t[73] - (71*t[74])/6 + (17*t[75])/3 + 
       (211*t[76])/12 - (83*t[77])/12 + (55*t[78])/6 + (76*t[79])/3 - 
       (211*t[80])/4 - (19*t[81])/12 + (25*t[82])/3 - (141*t[83])/4 + 
       (577*t[84])/32 - (1009*t[85])/96 - (799*t[86])/8 + (1277*t[87])/96 + 
       (1085*t[88])/192 + (7373*t[89])/192 - 3*t[96] - (19*t[97])/12 + 
       (249*t[98])/2 - (309*t[99])/2 - (97*t[100])/2 - t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      ((3*t[1])/2 + (173*t[2])/16 + (55*t[3])/6 - (463*t[4])/96 + 
       (2117*t[5])/96 - 18*t[6] - (277*t[7])/48 - (245*t[8])/8 - 
       (3283*t[9])/96 + (1769*t[10])/192 + (1313*t[11])/48 - 
       (1457*t[12])/192 + (127*t[13])/48 - (5323*t[14])/1152 + 
       (239*t[15])/16 - t[16]/4 - 2*t[19] + t[21] - t[23] + t[24]/2 + 
       t[25]/2 + (11*t[26])/4 - t[27]/3 + (8*t[28])/3 + t[29]/3 - 
       (71*t[30])/6 - t[31] - (5*t[32])/4 + (5*t[33])/4 - (7*t[34])/4 - 
       5*t[35] - (21*t[36])/4 - (3*t[37])/2 + (55*t[39])/12 + (3*t[40])/4 - 
       (15*t[41])/8 + (15*t[42])/8 + (65*t[43])/24 + (25*t[44])/6 + 
       (73*t[45])/16 + (47*t[46])/8 - (95*t[47])/8 - (419*t[48])/48 + 
       (115*t[49])/192 + (425*t[50])/48 - (583*t[51])/128 - (485*t[52])/48 - 
       (67*t[53])/192 - (1681*t[54])/96 - t[58]/4 + t[59]/4 - 
       (733*t[60])/48 + (31*t[61])/2 + (4355*t[62])/192 - (2383*t[63])/192 - 
       (1077*t[64])/32 - (8701*t[65])/288 - (4*t[66])/9 - t[68]/2 - t[69] + 
       t[72]/6 + (3*t[73])/2 + (25*t[74])/2 - (31*t[75])/2 + (9*t[76])/4 + 
       (5*t[77])/8 - (51*t[78])/2 - t[79]/2 + (37*t[80])/8 - (79*t[81])/12 + 
       (61*t[82])/24 + (25*t[83])/2 - (149*t[84])/24 - (39*t[85])/8 - 
       (679*t[86])/48 + (227*t[87])/24 + (227*t[88])/48 - (929*t[89])/32 - 
       t[91]/24 - t[93]/2 - t[97]/4 + 30*t[98] - 32*t[99] - 43*t[100] - 
       t[102]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-105*t[1])/16 + (187*t[2])/24 - (2059*t[3])/64 + (315*t[4])/8 - 
       (3601*t[5])/128 + (15059*t[6])/576 + (55*t[7])/64 + (4675*t[8])/192 + 
       (34351*t[9])/384 - (20843*t[10])/192 + (477*t[11])/64 - 
       (1683*t[12])/128 + (27713*t[13])/3456 + (23411*t[14])/384 - 
       (8929*t[15])/256 + (5*t[17])/2 + t[18]/2 - 3*t[20] - (19*t[22])/6 + 
       (5*t[24])/3 + t[26]/4 - (11*t[27])/2 + (55*t[28])/6 + (15*t[29])/4 - 
       (161*t[30])/12 - 9*t[31] + (13*t[32])/6 + (5*t[33])/6 + 
       (185*t[34])/12 + (26*t[35])/3 - t[36]/2 + (10*t[37])/3 - 
       (25*t[38])/6 + (13*t[39])/2 - (41*t[40])/4 + (29*t[41])/24 - 
       (79*t[42])/72 + (515*t[43])/96 - (215*t[44])/24 + (433*t[45])/48 - 
       (67*t[46])/8 - (143*t[47])/24 + (85*t[48])/6 + (501*t[49])/32 - 
       (43*t[50])/8 - (1945*t[51])/192 + (439*t[52])/24 - (501*t[53])/32 + 
       (85*t[54])/16 - t[56]/6 + (5*t[57])/3 + t[58]/4 + (1289*t[59])/144 + 
       (499*t[60])/48 + (469*t[61])/48 - (95*t[62])/4 + (6145*t[63])/48 + 
       (4837*t[64])/32 + (685*t[65])/288 + (7745*t[66])/288 + t[68]/2 + 
       (11*t[69])/6 + (3*t[70])/2 - (3*t[71])/2 - (5*t[72])/2 - 
       (19*t[73])/6 + (7*t[74])/2 + (26*t[75])/3 + (13*t[76])/3 - 
       (107*t[77])/24 + (50*t[78])/3 - (17*t[79])/2 + (353*t[80])/12 + 
       (107*t[81])/12 - (53*t[82])/6 - (41*t[83])/3 + (1613*t[84])/48 + 
       (455*t[85])/48 + (3077*t[86])/24 - (517*t[87])/16 - (517*t[88])/32 + 
       (1105*t[89])/96 + (13*t[97])/3 + (97*t[98])/2 - (99*t[99])/2 - 
       41*t[100] - t[102]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((-31*t[1])/12 - (89*t[2])/48 + (59*t[3])/16 - 
       (89*t[4])/4 - (221*t[5])/8 + (81*t[6])/32 + (1037*t[7])/48 - 
       (399*t[8])/8 + (2543*t[9])/32 - (3631*t[10])/24 + (7813*t[11])/96 + 
       (1049*t[12])/16 + (28903*t[13])/432 - (7081*t[14])/288 - 
       (6125*t[15])/288 - (17*t[19])/9 + 2*t[20] + 2*t[21] - 2*t[23] + 
       2*t[25] - (5*t[26])/6 - (25*t[27])/3 + (22*t[29])/3 - (71*t[30])/12 - 
       (7*t[31])/3 + (4*t[32])/3 - (4*t[33])/3 + (2*t[34])/3 + (17*t[35])/6 - 
       3*t[36] + 5*t[37] - (23*t[38])/12 - t[39]/12 + t[40]/3 - t[41]/3 + 
       t[42]/3 + (71*t[43])/48 + (27*t[44])/2 - (425*t[45])/48 + 
       (15*t[46])/4 + (457*t[47])/24 - (991*t[48])/96 - (575*t[49])/24 - 
       (535*t[50])/96 + (299*t[51])/12 + (503*t[52])/96 + (763*t[53])/24 + 
       (445*t[54])/32 + t[58]/6 + (13*t[59])/12 + (1939*t[60])/48 - 
       (1463*t[61])/48 + (1183*t[62])/96 - (9697*t[63])/96 + 
       (12937*t[64])/96 - (1261*t[65])/72 - (5203*t[66])/36 - t[68] - 
       (5*t[69])/6 - 3*t[70] + 3*t[71] - t[72] + (161*t[73])/12 - 5*t[74] - 
       (41*t[75])/12 + (5*t[76])/3 + t[77]/6 - (35*t[78])/6 - 8*t[79] - 
       (16*t[80])/3 + (505*t[81])/24 - (69*t[82])/4 - 36*t[83] + 
       (26*t[84])/3 + (373*t[85])/16 + (33*t[86])/4 - (2735*t[87])/48 - 
       (1165*t[88])/32 + (743*t[89])/96 + 8*t[95] + t[96] - (5*t[97])/6 + 
       (239*t[98])/2 - (299*t[99])/2 - (55*t[100])/2 - t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (8*t[1] + (143*t[2])/48 - (263*t[3])/24 + (5039*t[4])/192 - 
       (2219*t[5])/96 + 2*t[6] + (745*t[7])/24 + (11*t[8])/3 + 
       (3535*t[9])/96 - (7469*t[10])/384 + (3427*t[11])/96 - 
       (4997*t[12])/384 + (29693*t[13])/1728 + (49981*t[14])/2304 - 
       (13223*t[15])/1152 - t[19] - t[21] + t[23] - (2*t[25])/3 - 
       (137*t[26])/24 - (4*t[27])/3 + t[28] + (16*t[29])/3 - (83*t[30])/12 + 
       t[31] + t[32] - t[33] - (17*t[34])/12 + (47*t[35])/6 + 8*t[36] - 
       (2*t[37])/3 + (173*t[38])/24 + (37*t[39])/12 - 2*t[40] - 
       (7*t[41])/24 + (7*t[42])/24 + (5*t[43])/12 + 3*t[44] - 3*t[45] - 
       (101*t[46])/12 + 6*t[47] + (229*t[48])/48 + (2809*t[49])/384 - 
       (131*t[50])/48 + (3923*t[51])/768 + (45*t[52])/16 - (707*t[53])/128 - 
       (937*t[54])/64 + t[58]/4 - (63*t[59])/16 + (10589*t[60])/192 - 
       (3323*t[61])/192 - (6535*t[62])/384 + (18175*t[63])/384 - 
       (5745*t[64])/128 - (40409*t[65])/576 - (25715*t[66])/576 + t[68] + 
       6*t[69] - (5*t[72])/3 - 11*t[73] - (29*t[74])/12 - (53*t[75])/3 - 
       (31*t[76])/4 - (10*t[77])/3 + (19*t[78])/2 - (39*t[79])/4 - 
       (2*t[80])/3 + (61*t[81])/24 - (14*t[82])/3 + (53*t[83])/12 + 
       (1087*t[84])/192 + (2783*t[85])/192 + (497*t[86])/12 - 
       (4961*t[87])/192 - (5057*t[88])/384 - (3867*t[89])/128 + t[96]/2 + 
       t[97]/12 + (87*t[98])/2 - (89*t[99])/2 - (99*t[100])/4 - t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((-14*t[1])/3 + (239*t[2])/48 - (263*t[3])/48 + (4205*t[4])/96 - 
       (893*t[5])/48 + (521*t[6])/48 - (31*t[7])/8 + (371*t[8])/16 + 
       (433*t[9])/8 - (2965*t[10])/64 + (1111*t[11])/24 + (5521*t[12])/192 + 
       (36391*t[13])/864 + (6749*t[14])/1152 - (10801*t[15])/576 - t[16]/4 - 
       2*t[19] - t[20]/2 + 2*t[21] + 4*t[22] - 2*t[23] + (15*t[25])/2 - 
       (25*t[26])/12 + (8*t[27])/3 + (26*t[28])/3 + (5*t[29])/6 - 
       (19*t[30])/3 - (17*t[31])/2 - (11*t[32])/12 - (7*t[33])/12 + 
       t[34]/12 - 10*t[35] + t[36]/4 + 6*t[37] - 2*t[38] + (71*t[39])/12 - 
       (5*t[40])/12 - t[41]/24 + t[42]/24 - 7*t[43] - (59*t[44])/6 - 
       (1117*t[45])/48 + (5*t[46])/8 + (401*t[47])/8 + (281*t[48])/48 - 
       (673*t[49])/192 - (335*t[50])/48 - (1937*t[51])/384 + (97*t[52])/16 + 
       (529*t[53])/192 - (23*t[54])/32 - t[58]/12 - 3*t[59] - 
       (287*t[60])/48 - (199*t[61])/12 + (565*t[62])/64 - (27187*t[63])/192 + 
       (937*t[64])/96 + (5675*t[65])/288 - (652*t[66])/9 + t[68]/2 - 
       2*t[69] + (7*t[72])/2 + 17*t[73] + 5*t[74] - (37*t[75])/2 + 
       (13*t[76])/12 - (57*t[77])/8 - (41*t[78])/6 - (9*t[79])/2 + 
       (619*t[80])/24 + (7*t[81])/4 - (27*t[82])/8 + (61*t[83])/12 - 
       (271*t[84])/24 - (91*t[85])/24 + (341*t[86])/48 + (413*t[87])/24 + 
       (413*t[88])/48 + (277*t[89])/96 - t[91]/24 + t[93]/2 - (41*t[97])/12 - 
       52*t[98] + 51*t[99] + 5*t[100] - t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      (t[1]/2 + (503*t[2])/48 - (53*t[3])/12 + (173*t[4])/32 - 
       (1279*t[5])/96 + (167*t[6])/16 - (43*t[7])/48 + (207*t[8])/8 + 
       (29*t[9])/96 + (271*t[10])/192 - (115*t[11])/24 - (569*t[12])/64 - 
       (835*t[13])/144 + (8725*t[14])/384 - (149*t[15])/96 + t[16]/4 - 
       t[19] - t[21] + t[23] - t[25]/6 + (67*t[26])/12 - (5*t[27])/6 - 
       t[28]/3 + (17*t[29])/6 - (10*t[30])/3 + t[31]/3 + t[32]/4 - t[33]/4 - 
       (11*t[34])/12 + 9*t[35] + (43*t[36])/4 - t[37]/2 - t[38] - 
       (17*t[39])/12 + (29*t[40])/12 - (13*t[41])/24 + (13*t[42])/24 + 
       (17*t[43])/24 - t[44]/3 - (67*t[45])/16 - (59*t[46])/24 + 
       (73*t[47])/8 + (41*t[48])/8 + (1349*t[49])/192 + (49*t[50])/24 - 
       (1309*t[51])/128 + (61*t[52])/24 - (1589*t[53])/192 - (137*t[54])/96 + 
       (11*t[58])/12 - (37*t[59])/12 - (47*t[60])/12 + (399*t[61])/16 - 
       (1051*t[62])/192 + (3455*t[63])/192 - (59*t[64])/16 + 
       (4825*t[65])/288 + (2123*t[66])/144 - t[68]/2 + t[69] - t[72] + 
       6*t[73] - 3*t[74] + 7*t[75] - (155*t[76])/12 - (163*t[77])/24 + 
       (116*t[78])/3 - (65*t[79])/4 + (25*t[80])/8 - (31*t[81])/12 - 
       (67*t[82])/24 + (19*t[83])/6 + (97*t[84])/48 + (29*t[85])/48 + 
       (179*t[86])/16 + (1717*t[87])/48 + (1717*t[88])/96 + (21*t[89])/8 - 
       t[91]/24 + t[93]/2 - (29*t[97])/12 - 52*t[98] + 51*t[99] + 16*t[100] - 
       t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*
      ((13*t[1])/16 + (143*t[2])/32 + (511*t[3])/192 - (155*t[4])/24 + 
       (763*t[5])/96 + (317*t[6])/384 + (1741*t[7])/192 + (1153*t[8])/64 - 
       (179*t[9])/48 - (941*t[10])/64 + (243*t[11])/128 - (269*t[12])/96 - 
       (4879*t[13])/1152 - (5423*t[14])/1152 + (2015*t[15])/384 - t[19]/2 + 
       t[21] - t[22]/4 - t[23] - (7*t[24])/12 + (2*t[27])/3 + (11*t[28])/12 + 
       (67*t[29])/48 + (67*t[30])/24 - (43*t[31])/12 + (15*t[32])/8 - 
       (23*t[33])/8 - (7*t[34])/4 - 7*t[35] + (3*t[36])/8 + t[37]/2 + 
       (3*t[38])/4 + (41*t[39])/24 + t[40] + t[41]/4 - t[42]/4 + 
       (163*t[43])/192 - (71*t[44])/96 - (3*t[45])/8 + (9*t[46])/16 + 
       (2593*t[48])/384 - (643*t[49])/96 + (191*t[50])/128 + (21*t[51])/8 - 
       (351*t[52])/128 + (643*t[53])/96 + (609*t[54])/128 + t[56]/8 - 
       t[57]/4 - (5*t[59])/16 - (991*t[60])/192 + (301*t[61])/192 + 
       (1433*t[62])/192 - (875*t[63])/192 - (3205*t[64])/384 + 
       (457*t[65])/24 + (1059*t[66])/64 + t[68]/4 - t[69]/2 + (11*t[72])/12 - 
       (7*t[73])/4 + t[74]/2 + (11*t[75])/2 - (9*t[76])/4 - (7*t[77])/16 + 
       (35*t[78])/4 - 3*t[79] + (75*t[80])/16 - (47*t[81])/24 + 
       (71*t[82])/48 - (25*t[83])/4 - (89*t[84])/64 - (907*t[85])/192 - 
       (365*t[86])/96 + (1675*t[87])/192 + (1675*t[88])/384 - 
       (241*t[89])/384 - (3*t[97])/4 + t[98]/2 + (3*t[99])/2 - 
       (143*t[100])/4 + t[102]/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2*(t[1]/2 + t[2] - (479*t[3])/48 + (67*t[4])/6 - 
       (725*t[5])/48 + (87*t[6])/8 - (8*t[7])/3 + (1853*t[8])/48 + 
       (61*t[9])/16 - (27*t[10])/16 + (71*t[11])/6 + (307*t[12])/48 + 
       (97*t[13])/9 + (385*t[14])/24 + (179*t[15])/72 + (5*t[19])/2 - 
       t[20]/2 + t[21]/2 + t[22]/2 - t[23]/2 - (13*t[27])/12 - (17*t[28])/6 + 
       (19*t[29])/12 + (65*t[30])/12 + (9*t[31])/4 + (3*t[32])/4 - 
       (3*t[33])/4 + 5*t[35] + 5*t[36] - 3*t[37] + t[38]/2 + t[39]/12 + 
       (3*t[40])/2 + (3*t[41])/2 - (3*t[42])/2 - t[43]/2 - (7*t[44])/3 + 
       t[46]/2 - t[47]/2 + (28*t[48])/3 + (13*t[49])/8 - (187*t[50])/24 - 
       (103*t[51])/48 + (163*t[52])/24 + (3*t[53])/8 + 6*t[54] - t[59]/4 + 
       t[60]/24 + (37*t[61])/2 - (265*t[62])/16 - (191*t[63])/48 - 
       (85*t[64])/24 + (401*t[65])/36 - (1399*t[66])/72 - t[69] - t[72]/12 + 
       (13*t[73])/2 - t[74]/2 + 2*t[75] + 3*t[76] + t[77]/2 + (7*t[78])/4 + 
       t[79] + 2*t[80] + (17*t[81])/12 - (7*t[82])/12 - (16*t[83])/3 - 
       (7*t[84])/24 - (13*t[85])/6 + t[86] + (145*t[87])/24 + 
       (145*t[88])/48 + (373*t[89])/48 + (3*t[96])/2 + t[97] + t[98]/2 + 
       (3*t[99])/2 - 21*t[100] + t[102]/4) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*((-23*t[1])/12 - (23*t[2])/16 + 
       (169*t[3])/48 - (833*t[4])/192 + (325*t[5])/32 + (13*t[6])/24 - 
       (431*t[7])/24 - (515*t[8])/48 - (887*t[9])/96 + (689*t[10])/128 - 
       (1841*t[11])/96 - (535*t[12])/128 - (1571*t[13])/192 - 
       (26435*t[14])/2304 + (265*t[15])/128 + t[19]/2 + t[21]/2 - t[23]/2 + 
       t[25]/3 - (5*t[26])/24 + t[27]/4 + (17*t[28])/6 - 3*t[29] + 
       (53*t[30])/12 + t[31]/4 - t[32]/2 + t[33]/2 + (5*t[34])/4 - 
       (31*t[35])/6 - 6*t[36] + (4*t[37])/3 - (7*t[38])/8 + t[39]/6 - 
       (3*t[40])/4 - t[41]/8 + t[42]/8 - t[43]/3 - (7*t[44])/6 + 2*t[45] + 
       4*t[46] - (9*t[47])/2 - (79*t[48])/48 - (1231*t[49])/384 - t[50]/48 + 
       (851*t[51])/768 - (11*t[52])/48 + (213*t[53])/128 + (773*t[54])/192 - 
       t[58]/4 + (35*t[59])/48 - (427*t[60])/192 - (3187*t[61])/192 + 
       (9721*t[62])/384 + (37*t[63])/128 - (233*t[64])/128 + 
       (6767*t[65])/576 + (1237*t[66])/64 - t[69] - (13*t[72])/12 + 
       (3*t[73])/2 + (25*t[74])/12 + (25*t[75])/3 + (7*t[76])/12 + 
       (11*t[77])/4 + (53*t[78])/12 + (7*t[79])/4 - 4*t[80] + (71*t[81])/24 + 
       t[82]/12 - (37*t[83])/4 + (359*t[84])/192 - (139*t[85])/64 - 
       (385*t[86])/12 - (217*t[87])/192 - (217*t[88])/384 + 
       (1501*t[89])/128 - (3*t[96])/2 - (3*t[97])/4 - 8*t[98] + 6*t[99] + 
       (91*t[100])/4 + t[102]/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*(t[2] + (17*t[3])/6 + t[4]/6 - (1219*t[5])/96 - 
       (47*t[6])/4 + (373*t[7])/48 - (169*t[8])/12 + (57*t[9])/32 + 
       (33*t[10])/16 - (119*t[11])/48 + (293*t[12])/96 - (13*t[13])/2 - 
       (29*t[14])/6 + (695*t[15])/192 - (3*t[22])/2 + (23*t[27])/12 - 
       (13*t[28])/3 + t[29]/3 + (7*t[30])/6 - (3*t[31])/4 + t[32]/2 - 
       t[33]/2 + 2*t[35] - (5*t[36])/2 - (7*t[39])/6 + (5*t[40])/4 - 
       t[41]/4 + t[42]/4 - (7*t[43])/8 + (37*t[44])/6 + (25*t[45])/4 + 
       t[46] - (25*t[47])/2 - (229*t[48])/24 - (57*t[49])/16 + (19*t[50])/3 + 
       (295*t[51])/96 - (19*t[52])/3 + (57*t[53])/16 + 4*t[54] - 
       (53*t[60])/24 - t[61]/4 + (97*t[62])/8 + (7*t[63])/12 - 
       (385*t[64])/24 - (35*t[65])/72 + (2129*t[66])/72 - (13*t[72])/12 - 
       6*t[73] + t[74]/2 - 3*t[75] + t[76] + 2*t[77] - t[78]/4 - 15*t[80] + 
       (11*t[81])/12 - (55*t[82])/12 + (50*t[83])/3 - (19*t[84])/24 + 
       (7*t[85])/3 - 6*t[86] - (23*t[87])/24 - (23*t[88])/48 - 
       (173*t[89])/48 - (3*t[98])/2 + 2*t[99] + (53*t[100])/2 + t[102]/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2*
      ((-11*t[1])/16 - (177*t[2])/32 + (967*t[3])/192 - (271*t[4])/48 + 
       (317*t[5])/32 - (3635*t[6])/384 + (4789*t[7])/192 - (3917*t[8])/192 - 
       (19*t[9])/48 - (359*t[10])/64 + (4897*t[11])/384 + (147*t[12])/16 + 
       (3577*t[13])/1152 - (14449*t[14])/1152 - (53*t[15])/384 + t[17]/4 - 
       t[19]/2 + (9*t[20])/4 - t[21] - (7*t[22])/2 + t[23] - (53*t[24])/12 + 
       t[26]/2 - t[27]/12 - (55*t[28])/12 - (29*t[29])/48 + (49*t[30])/24 + 
       (19*t[31])/12 - (7*t[32])/8 - (5*t[33])/8 - (5*t[34])/4 + 2*t[35] - 
       (9*t[36])/8 + (7*t[37])/4 - t[38]/4 - (85*t[39])/24 + (3*t[40])/2 - 
       (3*t[41])/8 + (3*t[42])/8 + (95*t[43])/192 + (205*t[44])/96 - 
       (11*t[45])/8 + t[46]/16 + (7*t[47])/2 - (1533*t[48])/128 + 
       (11*t[49])/12 + (3157*t[50])/384 + (73*t[51])/192 - (3637*t[52])/384 - 
       (11*t[53])/12 - (1391*t[54])/128 - (3*t[56])/8 + (3*t[57])/4 + 
       (3*t[59])/16 - (1219*t[60])/192 - (2023*t[61])/192 - 
       (1469*t[62])/192 - (5693*t[63])/192 + (2447*t[64])/384 - 
       (871*t[65])/72 + (1679*t[66])/576 + t[68]/4 + (5*t[69])/4 + t[72]/6 - 
       (13*t[73])/4 - (23*t[75])/4 - (17*t[76])/4 - (7*t[77])/16 - 
       (35*t[78])/4 - (21*t[79])/8 - (69*t[80])/16 - (17*t[81])/6 + 
       (89*t[82])/48 + (299*t[83])/24 - (1459*t[84])/192 + (51*t[85])/64 + 
       (2267*t[86])/96 + (21*t[87])/64 + (21*t[88])/128 - (2101*t[89])/384 - 
       t[97]/4 - (3*t[98])/2 + 2*t[99] + (109*t[100])/4 + t[102]/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      (t[1]/12 - (25*t[2])/32 + (697*t[3])/96 - (461*t[4])/16 + 
       (9157*t[5])/384 - (895*t[6])/128 - (97*t[7])/96 - (105*t[8])/32 - 
       (16445*t[9])/384 + (849*t[10])/16 - (3967*t[11])/128 - 
       (1133*t[12])/384 - (871*t[13])/36 - (179*t[14])/48 + 
       (5197*t[15])/256 - (5*t[19])/4 - t[20]/4 + (5*t[21])/4 + 2*t[22] - 
       (5*t[23])/4 - (19*t[24])/12 + t[25]/2 - t[26]/4 + (5*t[27])/6 - 
       (11*t[28])/4 - (25*t[29])/48 + (187*t[30])/24 + (29*t[31])/4 - 
       (3*t[32])/8 + (3*t[33])/8 - 6*t[34] - (17*t[35])/6 + (3*t[36])/8 + 
       t[37]/12 + (5*t[38])/4 - (19*t[39])/8 + (21*t[40])/4 + (3*t[41])/4 - 
       (3*t[42])/4 + (349*t[43])/192 + (179*t[44])/32 + (343*t[45])/48 + 
       (51*t[46])/16 - (355*t[47])/24 - (1667*t[48])/384 - (241*t[49])/96 - 
       (1543*t[50])/384 + (97*t[51])/48 - (761*t[52])/384 + (241*t[53])/96 + 
       (589*t[54])/128 + t[56]/8 - t[57]/4 - t[58]/4 - (19*t[59])/8 + 
       (677*t[60])/192 - (4027*t[61])/192 + (2539*t[62])/192 - 
       (555*t[63])/64 - (21053*t[64])/384 + (369*t[65])/32 + 
       (2357*t[66])/64 - t[68]/4 - (7*t[69])/6 - (17*t[72])/12 - 
       (23*t[73])/12 + (8*t[75])/3 - t[76]/2 + (11*t[77])/16 + t[78]/4 + 
       4*t[79] - (395*t[80])/48 - 3*t[81] + (149*t[82])/48 - (113*t[83])/24 - 
       (1895*t[84])/192 - (787*t[85])/192 - (2381*t[86])/96 + 
       (1115*t[87])/192 + (1115*t[88])/384 + (319*t[89])/384 - (3*t[97])/2 - 
       9*t[98] + 7*t[99] + 40*t[100] + t[102]/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (t[1]/8 + (347*t[2])/48 - (4273*t[3])/288 + (56*t[4])/9 + 
       (569*t[5])/72 + (4069*t[6])/192 + (3263*t[7])/288 + (18745*t[8])/288 + 
       (113*t[9])/16 - (3137*t[10])/96 + (13339*t[11])/576 + (67*t[12])/144 + 
       (12527*t[13])/1728 + (9227*t[14])/576 + (6925*t[15])/576 - t[19] - 
       (9*t[20])/2 + 2*t[21] + (7*t[22])/2 - 2*t[23] - (7*t[24])/6 - 
       t[25]/6 + t[26]/3 + (2*t[27])/9 + (50*t[28])/9 + (155*t[29])/72 - 
       (37*t[30])/36 - (55*t[31])/6 - t[32]/4 - (5*t[33])/4 + (5*t[34])/6 - 
       (31*t[35])/2 + t[36]/4 + (14*t[37])/3 + (59*t[39])/18 - (11*t[40])/6 + 
       t[41]/12 - t[42]/12 + (35*t[43])/96 - (769*t[44])/144 - (21*t[45])/2 - 
       (11*t[46])/8 + (55*t[47])/4 + (11155*t[48])/576 - (27*t[49])/8 - 
       (3209*t[50])/576 - (269*t[51])/288 + (4841*t[52])/576 + (25*t[53])/8 + 
       (409*t[54])/64 + t[56]/4 - t[57]/2 + t[58]/6 + (13*t[59])/8 + 
       (445*t[60])/288 + (2591*t[61])/96 - (171*t[62])/32 - 
       (4123*t[63])/288 - (29*t[64])/576 + (710*t[65])/27 + 
       (1043*t[66])/864 + (3*t[68])/4 - (7*t[69])/2 + t[72]/18 - 
       (29*t[73])/6 - t[74] + (23*t[75])/6 - (20*t[76])/3 + (23*t[77])/24 + 
       (59*t[78])/6 - (27*t[79])/4 + (59*t[80])/8 - (4*t[81])/9 + 
       (25*t[82])/72 - (85*t[83])/9 + (965*t[84])/288 - (787*t[85])/288 - 
       (113*t[86])/48 + (4999*t[87])/288 + (4999*t[88])/576 + 
       (7195*t[89])/576 - t[97]/6 + 19*t[98] - 22*t[99] - (184*t[100])/3 + 
       t[102]/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((5*t[1])/6 + (73*t[2])/24 + (517*t[3])/36 + 
       (55*t[4])/18 + (499*t[5])/144 + (127*t[6])/48 - (2699*t[7])/144 - 
       (151*t[8])/144 + (19*t[9])/12 - (797*t[10])/24 + (2143*t[11])/144 - 
       (11*t[12])/36 + (3509*t[13])/216 - (2665*t[14])/288 - (140*t[15])/9 + 
       (3*t[19])/2 - (3*t[20])/2 - (3*t[21])/2 + (3*t[22])/2 + (3*t[23])/2 - 
       t[25] - t[26]/3 - (77*t[27])/18 + (19*t[28])/18 + (97*t[29])/9 - 
       (107*t[30])/18 + (41*t[31])/6 + t[32]/3 - t[33]/3 - (13*t[34])/6 + 
       (46*t[35])/3 + (5*t[36])/2 - (17*t[37])/3 + (5*t[38])/4 - 
       (23*t[39])/36 - t[40]/6 + (4*t[41])/3 - (4*t[42])/3 + (137*t[43])/48 + 
       (31*t[44])/18 - (239*t[45])/24 - (11*t[46])/12 + (65*t[47])/4 - 
       (155*t[48])/144 - (83*t[49])/48 - (1751*t[50])/144 - (197*t[51])/288 + 
       (1439*t[52])/144 + (131*t[53])/48 - (181*t[54])/48 - t[58]/3 - 
       (71*t[59])/24 + (1703*t[60])/144 - (389*t[61])/16 - (247*t[62])/96 - 
       (5515*t[63])/288 + (7817*t[64])/288 - (4255*t[65])/432 - 
       (9209*t[66])/432 - (4*t[72])/9 + (25*t[73])/6 + (3*t[74])/2 - 
       3*t[75] + (22*t[76])/3 - t[77]/2 - (39*t[78])/4 + (3*t[79])/2 + 
       (115*t[80])/6 - (113*t[81])/18 - (59*t[82])/18 - (10*t[83])/9 - 
       (203*t[84])/36 + (64*t[85])/9 + (203*t[86])/12 - (307*t[87])/36 - 
       (307*t[88])/72 + (803*t[89])/288 + (3*t[96])/4 - t[97]/6 + 19*t[98] - 
       22*t[99] - 10*t[100] + t[102]/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*(-3*t[1] - (55*t[2])/48 + 
       (61*t[3])/48 - (453*t[4])/16 + (323*t[5])/16 - (129*t[6])/32 - 
       (767*t[7])/48 + t[8]/4 - (1067*t[9])/32 + (1415*t[10])/32 - 
       (1119*t[11])/32 - (203*t[12])/96 - (9859*t[13])/432 - 
       (1147*t[14])/64 + (7499*t[15])/288 + t[19]/2 - t[21]/2 + t[23]/2 + 
       t[25] + t[26]/6 + (19*t[27])/6 + (29*t[28])/6 - (11*t[29])/3 + 
       (27*t[30])/4 - (25*t[31])/6 - (2*t[32])/3 + (2*t[33])/3 + 
       (4*t[34])/3 - (65*t[35])/6 - (3*t[36])/2 + (13*t[37])/3 - 2*t[38] + 
       (7*t[39])/2 - (2*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 - t[43]/48 - 
       (49*t[44])/6 + (499*t[45])/48 + (19*t[46])/4 - (527*t[47])/24 + 
       (275*t[48])/96 - (805*t[49])/96 + (209*t[50])/32 + (195*t[51])/64 - 
       (691*t[52])/96 + (637*t[53])/96 + (691*t[54])/96 - t[58]/3 + 
       (29*t[59])/24 - (855*t[60])/16 - (1019*t[61])/48 + (5671*t[62])/96 + 
       (4951*t[63])/96 + (727*t[64])/96 + 35*t[65] + (5591*t[66])/72 + 
       (7*t[69])/6 - (2*t[72])/3 - (25*t[73])/12 + (7*t[74])/2 + 
       (37*t[75])/4 - (7*t[76])/6 + t[77] + (31*t[78])/12 + (11*t[79])/2 - 
       (37*t[80])/6 - (91*t[81])/24 + (53*t[82])/12 + (25*t[83])/6 - 
       (517*t[84])/48 - (445*t[85])/24 - (137*t[86])/3 + (69*t[87])/4 + 
       (69*t[88])/8 - (139*t[89])/96 - (9*t[96])/4 - (5*t[97])/3 - 
       (51*t[98])/2 + (85*t[99])/2 - (8*t[100])/3 + t[102]/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((47*t[1])/24 - (199*t[2])/48 - (461*t[3])/96 - (73*t[4])/16 + 
       (5963*t[5])/288 + (17005*t[6])/576 - (2201*t[7])/96 + 
       (15611*t[8])/288 - (10999*t[9])/288 + (175*t[10])/24 + 
       (821*t[11])/576 - (121*t[12])/18 + (985*t[13])/576 + (287*t[14])/108 + 
       (5513*t[15])/216 - (5*t[17])/4 + (3*t[19])/2 - (11*t[20])/2 - 
       (5*t[21])/2 + 8*t[22] + (5*t[23])/2 - (5*t[24])/18 + t[26]/6 + 
       (3*t[27])/2 - (3*t[28])/2 + (21*t[29])/8 + (13*t[31])/18 - 
       (5*t[32])/3 - (5*t[33])/6 - (49*t[34])/6 - (3*t[35])/2 - (3*t[36])/4 - 
       3*t[37] + 2*t[38] + (7*t[39])/12 + (31*t[40])/12 - t[41]/6 + t[42]/6 - 
       (127*t[43])/288 - (17*t[44])/16 + (35*t[45])/12 + (19*t[46])/8 - 
       (23*t[47])/12 + (8389*t[48])/576 - (2569*t[49])/288 - 
       (2263*t[50])/576 + (2707*t[51])/576 - (137*t[52])/576 + 
       (2569*t[53])/288 + (859*t[54])/64 + (3*t[56])/4 + (3*t[57])/2 + 
       t[58]/6 - (11*t[59])/8 - (1591*t[60])/96 + (7295*t[61])/288 + 
       (9175*t[62])/288 - (3431*t[63])/96 - (4921*t[64])/192 + 
       (1607*t[65])/216 + (22771*t[66])/864 + t[68]/2 + t[69] + 
       (10*t[72])/3 - (11*t[73])/2 + 6*t[75] - (17*t[76])/3 - (3*t[77])/8 + 
       (38*t[78])/3 - (29*t[79])/12 - (83*t[80])/24 - (17*t[81])/3 + 
       (41*t[82])/24 - (8*t[83])/9 - (2171*t[84])/288 - (2203*t[85])/288 - 
       (6187*t[86])/144 + (9439*t[87])/288 + (9439*t[88])/576 + 
       (125*t[89])/64 - (13*t[97])/6 - 31*t[98] + 31*t[99] + (37*t[100])/3 + 
       t[102]/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-5*t[1])/4 - (17*t[2])/6 + (155*t[3])/24 - 
       (27*t[4])/4 + (3*t[5])/8 - t[6]/4 + (85*t[7])/6 - (443*t[8])/24 + 
       (367*t[9])/24 + 8*t[10] - (61*t[11])/6 + (29*t[12])/12 - 
       (587*t[13])/72 - (26*t[14])/9 - (35*t[15])/72 - t[19] - t[21] + 
       t[23] + (4*t[25])/3 + (5*t[26])/6 - (5*t[27])/2 + 6*t[28] - t[29] - 
       5*t[30] + (17*t[31])/6 + 2*t[32] - 2*t[33] - t[34]/6 + 5*t[35] - 
       t[36] - 2*t[38] + 9*t[39] - (19*t[40])/3 - (5*t[41])/12 + 
       (5*t[42])/12 + (5*t[43])/3 + (9*t[44])/2 + 4*t[45] + (29*t[46])/12 - 
       7*t[47] + (47*t[48])/12 + (17*t[49])/8 + t[50]/6 + (13*t[51])/24 + 
       (2*t[52])/3 - (17*t[53])/8 - (15*t[54])/4 + t[58]/6 + (11*t[59])/12 + 
       (47*t[60])/12 + (11*t[61])/2 + (707*t[62])/24 + (145*t[63])/24 - 
       (847*t[64])/24 + (1223*t[65])/36 + (128*t[66])/9 + t[69] - 
       (13*t[72])/6 - t[73] + 4*t[74] + 14*t[75] - (13*t[76])/6 + 
       (5*t[77])/6 + (85*t[78])/6 - 2*t[79] - 3*t[80] + (11*t[81])/2 - 
       (29*t[82])/6 - (56*t[83])/3 + (79*t[84])/12 - (13*t[85])/4 - 
       (52*t[86])/3 - (38*t[87])/3 - (19*t[88])/3 + (89*t[89])/24 - t[97]/6 - 
       31*t[98] + 31*t[99] + (181*t[100])/12 + t[102]/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-11*t[1])/24 - (217*t[2])/48 + (1705*t[3])/96 - (859*t[4])/32 + 
       (2321*t[5])/96 - (325*t[6])/64 + (1927*t[7])/96 - (633*t[8])/32 - 
       (867*t[9])/32 + (2525*t[10])/192 - (1907*t[11])/192 + (731*t[12])/64 - 
       (1823*t[13])/192 - (7835*t[14])/384 + (4373*t[15])/576 - t[17]/4 + 
       (3*t[19])/2 + 5*t[20] - (5*t[21])/2 - (3*t[22])/2 + (5*t[23])/2 - 
       (11*t[24])/2 - t[26]/12 - (7*t[27])/6 - (53*t[28])/6 - (41*t[29])/24 + 
       5*t[30] + (61*t[31])/6 - (5*t[32])/4 - (3*t[33])/4 - (25*t[34])/6 + 
       (77*t[35])/6 - 3*t[36] - 4*t[37] + (3*t[38])/4 - (47*t[39])/12 + 
       (29*t[40])/12 - t[41]/6 + t[42]/6 + (25*t[43])/32 + (245*t[44])/48 - 
       2*t[45] + (53*t[46])/48 + (17*t[47])/12 - (2923*t[48])/192 - 
       (403*t[49])/192 + (913*t[50])/192 + (593*t[51])/128 - (603*t[52])/64 + 
       (157*t[53])/64 - (355*t[54])/192 - t[56]/4 - t[57]/2 - t[58]/3 - 
       (29*t[59])/24 + (1471*t[60])/48 + (43*t[61])/12 - (569*t[62])/64 - 
       (5765*t[63])/192 - (431*t[64])/6 + (739*t[65])/288 + (371*t[66])/18 + 
       t[68]/4 + 3*t[69] + (7*t[72])/6 - (19*t[73])/2 - t[74]/3 + 
       (11*t[75])/2 - (17*t[76])/4 + (95*t[77])/24 - (5*t[78])/3 + t[79]/3 - 
       (163*t[80])/8 - (13*t[81])/4 + (193*t[82])/24 + 5*t[83] - 
       (271*t[84])/48 + (37*t[85])/48 - (127*t[86])/16 - (799*t[87])/48 - 
       (703*t[88])/96 - (217*t[89])/96 + (3*t[96])/2 + (7*t[97])/12 - 
       (53*t[98])/2 + (87*t[99])/2 + (164*t[100])/3 + t[102]/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      (-5*t[1] + (35*t[2])/4 - (1091*t[3])/48 + (82*t[4])/3 - (337*t[5])/24 + 
       (785*t[6])/48 + (169*t[7])/24 + (17*t[8])/24 + (25*t[9])/2 + 
       (343*t[10])/4 + (2061*t[11])/16 + (155*t[12])/3 + (1609*t[13])/48 + 
       (1745*t[14])/16 + (39403*t[15])/864 - t[16] - 2*t[19] + t[23]/3 + 
       21*t[25] + 12*t[26] + (4*t[27])/3 + (88*t[28])/3 + (91*t[29])/24 + 
       (221*t[30])/12 - 8*t[31] - t[32]/4 + t[33]/4 - 2*t[34] - 34*t[35] + 
       2*t[36] + 6*t[37] - 5*t[38] + (157*t[39])/6 - 2*t[40] - t[41] + 
       t[42] + (163*t[44])/24 + 16*t[45] + 15*t[46] - 32*t[47] - 
       (69*t[48])/16 - 23*t[49] + (133*t[50])/48 - (35*t[51])/3 - 
       (133*t[52])/48 + 23*t[53] + (1073*t[54])/48 + (17*t[59])/4 + 
       (5011*t[60])/48 + (3407*t[61])/16 - (671*t[62])/24 + (23*t[63])/3 - 
       (27805*t[64])/96 - (7601*t[65])/72 - (3553*t[66])/16 + (5*t[68])/2 + 
       9*t[69] - (20*t[72])/3 + 46*t[73] + 39*t[74] - 90*t[75] - 
       (73*t[76])/6 - (19*t[77])/4 - (101*t[78])/3 + 6*t[79] - 
       (153*t[80])/4 + 10*t[81] - (407*t[82])/12 - (163*t[83])/6 - 
       (427*t[84])/48 - (1751*t[85])/48 - (795*t[86])/8 - (2197*t[87])/48 - 
       (2197*t[88])/96 - (5731*t[89])/96 - t[91]/3 + 2*t[93] - t[97] + 
       118*t[98] + 32*t[99] - 335*t[100] + t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((15*t[2])/2 - (91*t[3])/12 + (97*t[4])/12 + (115*t[5])/6 - 
       (63*t[6])/8 + (133*t[7])/6 + (151*t[8])/12 - (117*t[9])/4 - t[10]/8 + 
       (1357*t[11])/24 + (139*t[12])/24 + (73*t[13])/18 - (141*t[14])/16 + 
       (625*t[15])/24 + (13*t[27])/3 - (14*t[28])/3 - (22*t[29])/3 + 
       (16*t[30])/3 - 21*t[31] - 32*t[35] + 10*t[37] - (10*t[39])/3 + 
       2*t[40] + t[43] + t[44]/3 - 2*t[45] + 2*t[46] + 4*t[47] + 
       (97*t[48])/24 - (41*t[49])/8 + (385*t[50])/24 + (103*t[51])/48 - 
       (385*t[52])/24 + (41*t[53])/8 - (125*t[54])/8 + 5*t[59] - 
       (509*t[60])/12 + (259*t[61])/4 - (73*t[62])/8 - (1121*t[63])/24 + 
       (661*t[64])/24 - (1301*t[65])/36 - (763*t[66])/36 + (7*t[72])/3 - 
       2*t[73] - 18*t[75] - 2*t[77] - 13*t[78] + t[79] + 4*t[80] + 
       (4*t[81])/3 - (14*t[82])/3 + (76*t[83])/3 - (121*t[84])/12 - 
       (289*t[85])/12 + 11*t[86] + (439*t[87])/12 + (439*t[88])/24 - 
       (665*t[89])/24 + 38*t[98] - 40*t[99] - (163*t[100])/2 + t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-7*t[1])/4 - (43*t[2])/8 - (845*t[3])/48 + (151*t[4])/6 + 
       (1699*t[5])/48 - (503*t[6])/32 + (25*t[7])/48 - (577*t[8])/48 - 
       (195*t[9])/16 + (443*t[10])/16 + (6263*t[11])/96 - (35*t[12])/48 + 
       (8545*t[13])/288 - (695*t[14])/32 + (2573*t[15])/144 + t[17] - 
       3*t[19] - 7*t[20] + 3*t[21] + 6*t[22] - 3*t[23] + 5*t[24] + 2*t[25] + 
       (26*t[27])/3 + (20*t[28])/3 - (47*t[29])/12 + (55*t[30])/6 - 
       17*t[31] + (3*t[32])/2 + (9*t[33])/2 - 3*t[34] - 32*t[35] + t[36]/2 + 
       17*t[37] - t[38] - (7*t[39])/6 + t[40] - t[41]/2 + t[42]/2 + 
       (59*t[43])/16 + (43*t[44])/24 + (19*t[45])/2 + (7*t[46])/4 - 
       16*t[47] + (827*t[48])/96 + (13*t[49])/8 + (191*t[50])/96 - 
       (25*t[51])/12 - (287*t[52])/96 - (13*t[53])/8 - (901*t[54])/32 + 
       t[56]/2 + t[57] + (19*t[59])/4 - (1327*t[60])/48 + (399*t[61])/16 + 
       (161*t[62])/8 - (431*t[63])/12 - (733*t[64])/96 - (3485*t[65])/72 - 
       (9245*t[66])/144 - 2*t[69] - (7*t[72])/3 + 17*t[73] - 28*t[75] + 
       15*t[76] + (5*t[77])/4 - 9*t[78] + 3*t[79] + t[80]/4 + (5*t[81])/3 - 
       (127*t[82])/12 - (19*t[83])/3 - (293*t[84])/48 - (569*t[85])/48 - 
       (149*t[86])/8 + (1265*t[87])/48 + (1265*t[88])/96 - (145*t[89])/96 - 
       t[97] + 38*t[98] - 40*t[99] - 78*t[100] + t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w]*
      (t[1]/4 - (51*t[2])/8 - (223*t[3])/16 + (85*t[4])/2 - (199*t[5])/24 + 
       (2381*t[6])/96 - (297*t[7])/16 + (451*t[8])/48 + (137*t[9])/6 + 
       (79*t[10])/16 + (3481*t[11])/96 - (721*t[12])/24 + (9073*t[13])/288 + 
       (12109*t[14])/288 - (1139*t[15])/288 - t[17]/2 + 2*t[19] - t[20] + 
       6*t[22] + (29*t[24])/3 - 3*t[27] + 7*t[28] + (9*t[29])/4 - 
       (21*t[30])/2 - t[31]/3 + t[32]/2 + (9*t[33])/2 + 3*t[34] + 7*t[35] + 
       (3*t[36])/2 - 2*t[37] - t[38] + (9*t[39])/2 - 5*t[40] - 
       (77*t[43])/48 - t[44]/8 + (17*t[45])/2 - (19*t[46])/4 - 17*t[47] + 
       (1481*t[48])/96 + (263*t[49])/24 - (1067*t[50])/96 - (121*t[51])/24 + 
       (1547*t[52])/96 - (263*t[53])/24 - (167*t[54])/32 + t[56]/2 - t[57] + 
       (7*t[59])/4 + (535*t[60])/16 + (1453*t[61])/48 - (19*t[62])/48 + 
       (523*t[63])/16 - (767*t[64])/32 - (1883*t[65])/36 - (9337*t[66])/144 + 
       t[68]/2 - t[69] - 2*t[72] + 7*t[73] - 8*t[75] + 14*t[76] + 
       (5*t[77])/4 - 3*t[78] + t[79]/2 - (13*t[80])/4 + 5*t[81] - 
       (21*t[82])/4 - (163*t[83])/6 + (593*t[84])/48 + (109*t[85])/48 - 
       (713*t[86])/24 - (1165*t[87])/48 - (1165*t[88])/96 + (125*t[89])/32 + 
       t[97] + 46*t[98] - 40*t[99] - 71*t[100] + t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-3*t[2])/2 - t[3]/4 - (19*t[4])/4 - 6*t[5] + (13*t[6])/8 - 
       (21*t[7])/2 + (45*t[8])/4 + (51*t[9])/4 - (95*t[10])/8 + 
       (27*t[11])/8 + (83*t[12])/8 - t[13] + (451*t[14])/48 - (53*t[15])/24 - 
       t[27] - 6*t[28] - 2*t[29] - 4*t[30] - t[31] + 8*t[35] - 2*t[36] - 
       2*t[39] + 2*t[40] - t[43] - 11*t[44] - 2*t[45] - t[46] + 4*t[47] + 
       (59*t[48])/8 - (27*t[49])/8 - (53*t[50])/8 + (27*t[51])/16 + 
       (53*t[52])/8 + (27*t[53])/8 + (47*t[54])/8 + (15*t[60])/4 - 
       (41*t[61])/4 - (59*t[62])/8 + (111*t[63])/8 + (55*t[64])/8 + 
       (35*t[65])/4 - (35*t[66])/12 - 5*t[72] - 2*t[73] + t[78] + t[81] - 
       t[82] - 8*t[83] - (5*t[84])/4 - (3*t[85])/4 - (15*t[87])/4 - 
       (15*t[88])/8 + (77*t[89])/8 + 46*t[98] - 40*t[99] - (127*t[100])/2 + 
       t[102]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-3*t[2] + (25*t[3])/12 + (185*t[4])/12 - (91*t[5])/6 - (99*t[6])/8 + 
       (17*t[7])/6 - (721*t[8])/12 + (33*t[9])/4 - (57*t[10])/8 - 
       (223*t[11])/24 - (73*t[12])/24 + (551*t[13])/18 - (955*t[14])/48 - 
       (859*t[15])/72 + (5*t[27])/3 - (4*t[28])/3 + (4*t[29])/3 + 
       (8*t[30])/3 + 21*t[31] + 20*t[35] - 2*t[36] - 10*t[37] - (8*t[39])/3 - 
       2*t[40] - t[43] + (47*t[44])/3 + 2*t[45] - t[46] - 4*t[47] - 
       (523*t[48])/24 - t[49]/8 + (149*t[50])/24 + (83*t[51])/48 - 
       (149*t[52])/24 + t[53]/8 - (105*t[54])/8 - 5*t[59] + (191*t[60])/12 - 
       (73*t[61])/4 + (95*t[62])/8 - (1129*t[63])/24 - (535*t[64])/24 - 
       (1657*t[65])/36 - (623*t[66])/36 + (11*t[72])/3 - 4*t[73] - 14*t[75] + 
       2*t[77] + t[78] - t[79] - 4*t[80] - (28*t[81])/3 + (26*t[82])/3 + 
       (26*t[83])/3 - (77*t[84])/12 + (211*t[85])/12 - 11*t[86] - 
       (37*t[87])/12 - (37*t[88])/24 + (59*t[89])/24 + 38*t[98] - 40*t[99] + 
       62*t[100] + t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - v]*(t[1]/4 - (153*t[2])/8 + (1043*t[3])/48 + 
       (19*t[4])/3 - (449*t[5])/48 - (1805*t[6])/96 + (905*t[7])/48 - 
       (779*t[8])/16 + (299*t[9])/48 + (263*t[10])/16 - (323*t[11])/32 - 
       (1211*t[12])/48 + (4697*t[13])/288 - (11755*t[14])/288 - 
       (1135*t[15])/48 + 2*t[19] - 4*t[21] + t[22] + 4*t[23] + t[24]/3 - 
       (8*t[27])/3 - (23*t[28])/3 + (41*t[29])/12 - (25*t[30])/6 + 
       (52*t[31])/3 + (7*t[32])/2 + t[33]/2 - 7*t[34] + 36*t[35] + t[36]/2 - 
       12*t[37] + t[38] - (11*t[39])/6 - t[40] - t[41] + t[42] - 
       (127*t[43])/48 + (299*t[44])/24 + 17*t[45] - (13*t[46])/4 - 13*t[47] - 
       (997*t[48])/96 + (205*t[49])/24 + (293*t[50])/32 - (5*t[51])/8 - 
       (389*t[52])/32 - (205*t[53])/24 - (757*t[54])/32 - t[56]/2 + t[57] - 
       (25*t[59])/4 - (1355*t[60])/48 - (2227*t[61])/48 - (7*t[62])/24 - 
       (185*t[63])/6 - (1253*t[64])/96 - (553*t[65])/24 + (305*t[66])/48 + 
       2*t[69] + (13*t[72])/3 + 7*t[73] - 18*t[75] + 15*t[76] + (5*t[77])/4 - 
       7*t[78] + (5*t[79])/2 - (19*t[80])/4 - (55*t[81])/6 + (115*t[82])/12 + 
       3*t[83] - (99*t[84])/16 + (343*t[85])/48 + (449*t[86])/24 + 
       (281*t[87])/48 + (281*t[88])/96 + (1039*t[89])/96 - t[97] + 38*t[98] - 
       40*t[99] + 66*t[100] + t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*(t[1]/2 + (15*t[2])/4 + (17*t[3])/8 + 
       (43*t[4])/3 - (689*t[5])/48 - (413*t[6])/48 + (2575*t[7])/48 - 
       (179*t[8])/48 + (16*t[9])/3 + (531*t[10])/16 - (61*t[11])/6 - 
       (185*t[12])/16 - (7321*t[13])/864 - (1787*t[14])/144 - (11*t[15])/36 + 
       t[18]/3 - (4*t[22])/3 + (4*t[27])/3 - (26*t[28])/3 + (8*t[29])/3 + 
       (28*t[30])/3 - t[34]/3 - 10*t[35] - (13*t[39])/3 + (77*t[43])/48 + 
       (97*t[44])/3 + (61*t[45])/24 + (11*t[46])/2 - (49*t[47])/12 - 
       (173*t[48])/6 + (11*t[49])/2 + (49*t[50])/6 - (127*t[51])/24 - 
       (49*t[52])/6 - (11*t[53])/2 + (23*t[54])/2 + t[59] - (49*t[60])/12 + 
       35*t[61] - (67*t[62])/4 + (31*t[63])/12 + (325*t[64])/12 + 
       (37*t[65])/2 + (146*t[66])/9 + (13*t[72])/3 - 27*t[73] - 53*t[75] - 
       16*t[76] + 3*t[77] - 33*t[78] + 12*t[80] + (43*t[81])/3 - 
       (14*t[82])/3 + (130*t[83])/3 + (2*t[84])/3 + (109*t[85])/6 + 
       (31*t[86])/6 + (77*t[87])/6 + (77*t[88])/12 - (47*t[89])/8 - 
       26*t[98] + 32*t[99] + 105*t[100] + t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-7*t[1])/4 + (31*t[2])/8 + (2927*t[3])/48 + (163*t[4])/24 + 
       (431*t[5])/12 - (1113*t[6])/32 + (4085*t[7])/48 - (2957*t[8])/48 - 
       (159*t[9])/8 + (2713*t[10])/48 + (543*t[11])/32 + (267*t[12])/8 - 
       (1199*t[13])/288 - (3797*t[14])/144 + (1703*t[15])/288 + t[17]/2 - 
       (53*t[19])/9 + 7*t[20] - 6*t[21] - 15*t[22] + 6*t[23] - 28*t[24] + 
       2*t[26] - (8*t[27])/3 - (47*t[28])/3 - (97*t[29])/12 + (23*t[30])/6 + 
       10*t[31] + (3*t[32])/2 - (13*t[33])/2 - 5*t[34] - 23*t[35] - 
       (9*t[36])/2 + (7*t[37])/2 - t[38] - (53*t[39])/6 - 4*t[40] - 7*t[41] + 
       7*t[42] + (141*t[43])/16 + (317*t[44])/24 - (55*t[45])/2 - 
       (7*t[46])/6 + 28*t[47] - (5183*t[48])/96 + (155*t[49])/12 + 
       (2221*t[50])/96 - (535*t[51])/96 - (2125*t[52])/96 - (79*t[53])/6 - 
       (6113*t[54])/96 - (3*t[56])/2 + 3*t[57] + t[59]/4 - (557*t[60])/48 - 
       (1273*t[61])/16 - (455*t[62])/24 - (385*t[63])/3 - (20389*t[64])/96 + 
       (2071*t[65])/72 + (79*t[66])/16 + t[68]/2 + 5*t[69] + (16*t[72])/3 - 
       40*t[73] - 5*t[74] - 20*t[75] - (217*t[76])/6 + (13*t[77])/4 - 
       (101*t[78])/3 - 2*t[79] - (25*t[80])/4 - t[81] + (145*t[82])/12 + 
       (341*t[83])/6 - (1627*t[84])/48 + (697*t[85])/48 + (709*t[86])/8 + 
       (1259*t[87])/48 + (1259*t[88])/96 - (3595*t[89])/96 - t[97] - 
       26*t[98] + 32*t[99] + 105*t[100] + t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((35*t[1])/12 - (583*t[2])/48 + (97*t[3])/48 - (471*t[4])/32 + 
       (1131*t[5])/32 - (9743*t[6])/192 - (671*t[7])/48 - (271*t[8])/4 - 
       (455*t[9])/12 + (5355*t[10])/64 + (895*t[11])/192 - (1565*t[12])/192 - 
       (965*t[13])/144 - (4217*t[14])/384 + (17641*t[15])/576 - 
       (5*t[16])/12 - t[25]/2 - 2*t[26] + (29*t[27])/6 + 3*t[28] - 
       (29*t[29])/12 + (61*t[30])/12 - (11*t[31])/2 - (7*t[32])/4 + 
       (7*t[33])/4 - (2*t[34])/3 - (115*t[35])/6 - (37*t[36])/12 + 
       (59*t[37])/6 + (5*t[38])/3 + (11*t[39])/12 + (31*t[40])/8 + 
       (5*t[41])/6 - (5*t[42])/6 + (97*t[43])/24 - (27*t[44])/8 + 
       (67*t[45])/6 + (227*t[46])/24 - (301*t[47])/12 - (1159*t[48])/64 + 
       (1403*t[49])/192 - (1345*t[50])/192 - (129*t[51])/128 - 
       (1343*t[52])/192 + (181*t[53])/192 - (103*t[54])/64 - (7*t[58])/3 + 
       (69*t[59])/8 - (143*t[60])/8 + (19*t[61])/12 - (1153*t[62])/48 + 
       (3137*t[63])/48 - (1763*t[64])/48 - (983*t[65])/48 + 
       (1825*t[66])/144 - (8*t[68])/3 + (11*t[69])/3 + t[70]/3 - t[71]/3 + 
       (15*t[72])/2 - (64*t[73])/3 + (3*t[74])/2 + (131*t[75])/6 + 22*t[76] + 
       (71*t[77])/12 - 30*t[78] + t[79]/4 - (35*t[80])/2 + (77*t[81])/12 - 
       (19*t[82])/2 + (21*t[83])/4 - (1597*t[84])/48 - (433*t[85])/16 - 
       (739*t[86])/12 - (623*t[87])/16 - (1877*t[88])/96 - t[89]/16 + 
       (16*t[95])/3 + (26*t[96])/3 + 8*t[97] + 134*t[98] - 139*t[99] - 
       6*t[100] + (3*t[102])/2) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2*((-59*t[1])/24 + (241*t[2])/16 - (61*t[3])/16 - 
       (53*t[4])/12 - (2147*t[5])/192 - (1451*t[6])/64 + (431*t[7])/48 - 
       (461*t[8])/48 + (9655*t[9])/192 + (199*t[10])/16 - (3733*t[11])/192 + 
       (597*t[12])/64 - (6409*t[13])/288 - (207*t[14])/32 - 
       (5633*t[15])/384 + t[16]/6 - (5*t[17])/12 - t[18]/3 + t[19]/2 - 
       (5*t[20])/2 + (13*t[21])/6 + (5*t[22])/6 - (13*t[23])/6 - 
       (17*t[24])/6 - (9*t[25])/2 + 3*t[26] + (13*t[27])/6 + (13*t[28])/6 + 
       (119*t[29])/24 - t[30]/12 - 7*t[31] - (13*t[32])/4 - (13*t[33])/12 + 
       (49*t[34])/4 - 3*t[35] - (95*t[36])/12 - t[37]/2 - (10*t[38])/3 - 
       (13*t[39])/12 + (23*t[40])/12 - (7*t[41])/24 + t[42]/8 - 
       (137*t[43])/32 - (319*t[44])/48 - (527*t[45])/24 + (29*t[46])/24 + 
       (113*t[47])/3 + (1309*t[48])/192 + (143*t[49])/12 + (99*t[50])/64 - 
       (449*t[51])/96 - (19*t[52])/64 - (143*t[53])/12 - (577*t[54])/192 + 
       (7*t[56])/12 + (5*t[57])/6 + (11*t[59])/4 - (1059*t[60])/32 - 
       (2141*t[61])/32 - (3731*t[62])/64 + (2747*t[63])/64 - 
       (5423*t[64])/192 + (2201*t[65])/96 + (5071*t[66])/96 - t[67]/6 + 
       (5*t[68])/6 - t[69]/2 + (2*t[70])/3 - (2*t[71])/3 + (13*t[72])/2 - 
       16*t[73] - (19*t[74])/3 + 18*t[75] + (71*t[76])/6 + (29*t[77])/12 - 
       (95*t[78])/12 + (15*t[79])/4 + t[80]/2 - t[81] + (449*t[82])/24 + 
       (31*t[83])/4 - (445*t[84])/32 + (617*t[85])/96 + (429*t[86])/8 - 
       (339*t[87])/32 - (339*t[88])/64 - (2351*t[89])/192 + t[91]/24 - 
       t[92]/6 - t[93]/2 + t[94]/6 + (31*t[97])/12 + 96*t[98] - 107*t[99] + 
       11*t[100] + (3*t[102])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((-17*t[1])/12 - (271*t[2])/48 + (1301*t[3])/96 - 
       (629*t[4])/48 + (9071*t[5])/192 - (915*t[6])/64 + (583*t[7])/96 + 
       (4819*t[8])/96 - (8137*t[9])/192 - (453*t[10])/32 + (487*t[11])/64 - 
       (473*t[12])/64 + (9545*t[13])/576 - (4777*t[14])/288 + 
       (4847*t[15])/1152 - (5*t[16])/12 + (3*t[25])/2 + t[26]/6 - 
       (8*t[27])/3 - (28*t[28])/3 + (67*t[29])/12 - (67*t[30])/12 - 
       (11*t[31])/3 + (9*t[32])/4 - (9*t[33])/4 - (35*t[34])/12 + 
       (11*t[35])/2 + (65*t[36])/12 - (5*t[37])/2 - (5*t[38])/4 - 
       (19*t[39])/4 + (51*t[40])/8 + (23*t[41])/24 - (23*t[42])/24 + 
       (35*t[43])/48 + (31*t[44])/24 - (25*t[45])/8 - (53*t[46])/12 + 
       (15*t[47])/2 + (1031*t[48])/192 + (673*t[49])/48 - (3061*t[50])/192 - 
       (13*t[51])/32 + (1573*t[52])/192 - (313*t[53])/48 + (451*t[54])/64 - 
       (13*t[58])/12 + (17*t[59])/6 - (305*t[60])/32 + (251*t[61])/32 - 
       (12367*t[62])/192 + (775*t[63])/192 + (11801*t[64])/192 + 
       (1199*t[65])/288 - (697*t[66])/96 + t[68]/3 + t[70]/3 - t[71]/3 + 
       2*t[72] - 13*t[73] - 6*t[74] + (33*t[75])/2 + (59*t[76])/4 - 
       (13*t[77])/12 - 14*t[78] - (43*t[79])/4 + (161*t[80])/6 - 
       (49*t[81])/6 + (85*t[82])/12 - (81*t[83])/4 - (2255*t[84])/96 - 
       (1679*t[85])/96 + (527*t[86])/12 + (445*t[87])/96 + (143*t[88])/64 - 
       (235*t[89])/64 + (16*t[95])/3 + (26*t[96])/3 + (27*t[97])/4 + 
       90*t[98] - 101*t[99] + (61*t[100])/2 + (3*t[102])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      ((-91*t[1])/8 - (629*t[2])/48 + (493*t[3])/32 - (311*t[4])/96 + 
       (133*t[5])/12 - (7859*t[6])/192 + (3541*t[7])/96 - (3919*t[8])/32 + 
       (175*t[9])/48 + (2813*t[10])/64 - (561*t[11])/64 + (457*t[12])/192 - 
       (1231*t[13])/192 + (10525*t[14])/1152 + (1417*t[15])/144 + t[16]/6 - 
       t[17]/6 - t[18]/3 + t[19]/2 + 7*t[20] - (23*t[21])/6 - 7*t[22] + 
       (23*t[23])/6 - (29*t[24])/6 + (8*t[25])/3 + t[26]/3 + t[27] - 
       (47*t[28])/6 + (5*t[29])/8 + (25*t[30])/12 + 15*t[31] + (19*t[32])/4 - 
       (61*t[33])/12 + (27*t[34])/2 + (47*t[35])/3 - (59*t[36])/12 + 
       (14*t[37])/3 - (85*t[38])/12 - t[39]/12 - (67*t[40])/12 - 
       (31*t[41])/12 + (29*t[42])/12 + (13*t[43])/32 + (581*t[44])/48 - 
       (61*t[46])/24 - (287*t[47])/12 - (7007*t[48])/192 + (3259*t[49])/192 + 
       (639*t[50])/64 - (2395*t[51])/384 - (2045*t[52])/192 - 
       (3179*t[53])/192 - (2213*t[54])/64 - (5*t[56])/12 + t[57]/6 - 
       (13*t[58])/4 + (5*t[59])/24 + (767*t[60])/48 - (179*t[61])/3 - 
       (2929*t[62])/96 + (12517*t[63])/96 - (1847*t[64])/16 - 
       (799*t[65])/144 + (6665*t[66])/144 - t[67]/6 + (5*t[68])/6 + 4*t[69] + 
       (2*t[70])/3 - (2*t[71])/3 + (31*t[72])/6 - 18*t[73] - (50*t[74])/3 + 
       (145*t[75])/6 + (53*t[76])/4 + (25*t[77])/6 + (41*t[78])/12 - 
       (33*t[79])/4 - (91*t[80])/4 + (43*t[81])/4 + (217*t[82])/12 + 
       (28*t[83])/3 - (249*t[84])/16 + (465*t[85])/16 - (271*t[86])/24 - 
       (1289*t[87])/24 - (1289*t[88])/48 - (299*t[89])/32 + t[91]/24 - 
       t[92]/6 + t[93]/2 + t[94]/6 + (23*t[97])/6 + 112*t[98] - 117*t[99] + 
       (131*t[100])/2 + (3*t[102])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v]*(-t[1]/4 - (221*t[2])/32 + (55*t[3])/48 + 
       (205*t[4])/96 + (2717*t[5])/288 - (811*t[6])/72 + (1771*t[7])/96 - 
       (9787*t[8])/288 - (281*t[9])/36 + (661*t[10])/192 + (4915*t[11])/288 - 
       (3263*t[12])/576 + (667*t[13])/108 - (45893*t[14])/3456 + 
       (2851*t[15])/1728 + (7*t[24])/18 + (19*t[27])/6 - (16*t[28])/3 - 
       (61*t[29])/24 + (25*t[30])/6 + (43*t[31])/18 - 3*t[35] + t[37] - 
       (13*t[39])/6 - t[40]/2 + t[41]/2 - t[42]/2 + (131*t[43])/72 + 
       (83*t[44])/12 + (3*t[45])/4 + 2*t[46] - (11*t[47])/3 - 
       (1457*t[48])/144 - (305*t[49])/576 + (731*t[50])/144 - 
       (79*t[51])/1152 - (731*t[52])/144 + (305*t[53])/576 - 
       (1111*t[54])/96 - t[59]/4 - (707*t[60])/48 - (35*t[61])/36 + 
       (2567*t[62])/576 - (2779*t[63])/64 - (19*t[64])/24 - 
       (23677*t[65])/864 - (7199*t[66])/864 + (8*t[72])/3 - t[73] + 2*t[74] - 
       12*t[75] + 2*t[76] + t[77]/4 - 11*t[78] + (49*t[79])/48 + t[80] - 
       (7*t[81])/3 + (17*t[82])/12 + (95*t[83])/18 - (467*t[84])/72 + 
       (119*t[85])/72 + (245*t[86])/144 + (433*t[87])/72 + (433*t[88])/144 - 
       (515*t[89])/96 + 36*t[98] - 32*t[99] - (503*t[100])/24 + 2*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-9*t[1])/4 - (23*t[2])/24 - (249*t[3])/16 - (289*t[4])/12 - 
       (733*t[5])/24 - (443*t[6])/32 + (3619*t[7])/48 - (285*t[8])/16 + 
       (367*t[9])/2 + (549*t[10])/16 - (3107*t[11])/32 - (337*t[12])/8 - 
       (102389*t[13])/864 + (27175*t[14])/288 + (935*t[15])/288 - 
       (15*t[17])/2 + (37*t[19])/9 - 33*t[20] - 9*t[21] + 42*t[22] + 
       9*t[23] - 9*t[24] - (10*t[26])/3 + 13*t[27] + 22*t[28] + 
       (27*t[29])/4 - (31*t[30])/2 - 15*t[31] + (7*t[32])/2 - (37*t[33])/2 + 
       (133*t[34])/3 + 5*t[35] + (19*t[36])/6 - 2*t[37] - (28*t[38])/3 + 
       (167*t[39])/6 - (65*t[40])/2 - (35*t[41])/3 + (35*t[42])/3 + 
       (79*t[43])/16 - (187*t[44])/8 - 23*t[45] + (27*t[46])/4 - 
       (39*t[47])/2 + (1991*t[48])/96 + (697*t[49])/24 - (3925*t[50])/96 - 
       (149*t[51])/12 + (2055*t[52])/32 - (649*t[53])/24 + (663*t[54])/32 + 
       (9*t[56])/2 + 9*t[57] - 2*t[58] + (67*t[59])/6 + (1637*t[60])/48 - 
       (3829*t[61])/16 + (283*t[62])/6 + (2597*t[63])/8 - (1123*t[64])/32 + 
       (17891*t[65])/72 + (5991*t[66])/16 - (3*t[68])/2 + 4*t[69] - 3*t[72] - 
       87*t[73] + (31*t[74])/3 + 65*t[75] + (13*t[76])/6 - (13*t[77])/12 - 
       (92*t[78])/3 + (43*t[79])/2 + (103*t[80])/12 + (97*t[81])/3 - 
       (3*t[82])/4 - (183*t[83])/2 + (729*t[84])/16 + (577*t[85])/16 + 
       (347*t[86])/8 - (5147*t[87])/48 - (5483*t[88])/96 + (6311*t[89])/96 - 
       (8*t[95])/3 - t[96] + (71*t[97])/6 + 250*t[98] - 130*t[99] - 
       221*t[100] + 3*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*((95*t[1])/12 + (221*t[2])/8 + (115*t[3])/16 - 
       (133*t[4])/24 - (573*t[5])/8 + (4775*t[6])/96 + (1289*t[7])/16 + 
       (1351*t[8])/16 + (578*t[9])/3 - (2141*t[10])/24 + (10211*t[11])/96 + 
       (3361*t[12])/48 + (12995*t[13])/288 + (1699*t[14])/18 - 
       (1867*t[15])/32 - 3*t[17] - (7*t[19])/3 - 30*t[20] + 6*t[21] + 
       18*t[22] - 6*t[23] - 6*t[24] - 4*t[25] - (2*t[26])/3 + 7*t[27] + 
       28*t[28] + (35*t[29])/4 - (67*t[30])/2 - 22*t[31] - (3*t[32])/2 - 
       (27*t[33])/2 + 8*t[34] - 64*t[35] - (3*t[36])/2 + 3*t[37] + 
       (8*t[38])/3 + (55*t[39])/2 - 23*t[40] + (7*t[41])/2 - (7*t[42])/2 + 
       (43*t[43])/16 - (67*t[44])/8 - (153*t[45])/2 + t[46]/4 + 99*t[47] + 
       (81*t[48])/32 - (1285*t[49])/48 - (1715*t[50])/32 + (201*t[51])/32 + 
       (2163*t[52])/32 + (439*t[53])/16 + (479*t[54])/32 + (3*t[56])/2 - 
       3*t[57] + t[58] + (41*t[59])/12 + (2167*t[60])/48 - (551*t[61])/16 - 
       (4639*t[62])/24 - (1925*t[63])/12 + (1367*t[64])/32 + 
       (13979*t[65])/72 - (1735*t[66])/16 - 5*t[69] + 18*t[72] - 55*t[73] + 
       6*t[74] - 31*t[75] + (20*t[76])/3 + (35*t[77])/4 - (337*t[78])/3 + 
       (17*t[79])/2 + (225*t[80])/4 + (35*t[81])/3 - (15*t[82])/4 - 
       (105*t[83])/2 + (2551*t[84])/48 + (2947*t[85])/48 + (1159*t[86])/8 - 
       (849*t[87])/16 - (849*t[88])/32 + (9985*t[89])/96 + 2*t[97] + 
       74*t[98] - 96*t[99] - 217*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((9*t[1])/4 + (69*t[2])/4 - (2575*t[3])/144 + (6847*t[4])/144 + 
       (7123*t[5])/288 + (5069*t[6])/96 + (4907*t[7])/144 + (9235*t[8])/144 + 
       (5941*t[9])/96 - (861*t[10])/32 + (24865*t[11])/288 + 
       (1313*t[12])/144 + (16657*t[13])/864 + (63193*t[14])/576 + 
       (17425*t[15])/1728 + t[17]/2 + 2*t[19] + 2*t[20] + 2*t[21] - 2*t[22] - 
       2*t[23] + (7*t[24])/3 + (2*t[26])/3 - (92*t[27])/9 - (26*t[28])/9 + 
       (127*t[29])/18 - (47*t[30])/9 - t[31]/3 + (20*t[32])/3 + (5*t[33])/3 - 
       2*t[34] - (28*t[35])/3 - (25*t[36])/2 - 4*t[37] - 2*t[38] + 
       (145*t[39])/18 - (161*t[40])/12 + (19*t[41])/6 - (19*t[42])/6 - 
       (85*t[43])/24 - (23*t[44])/36 - (49*t[45])/4 - (20*t[46])/3 + 
       (16*t[47])/3 + (9523*t[48])/288 + (855*t[49])/32 + (463*t[50])/288 - 
       (4667*t[51])/576 + (4241*t[52])/288 - (727*t[53])/32 - 
       (205*t[54])/32 - (2*t[55])/3 + (2*t[58])/3 + (29*t[59])/4 + 
       (8135*t[60])/72 + (4987*t[61])/24 - (929*t[62])/8 + (2377*t[63])/72 - 
       (21247*t[64])/144 - (9395*t[65])/108 - (14053*t[66])/108 - 4*t[68] - 
       2*t[69] + (8*t[70])/3 - (8*t[71])/3 + (88*t[72])/9 - (187*t[73])/6 + 
       (10*t[74])/3 + 29*t[75] + t[76]/2 + (17*t[77])/2 - t[78] - 14*t[79] + 
       (70*t[80])/3 - (25*t[81])/18 - (116*t[82])/9 - (145*t[83])/18 + 
       (41*t[84])/9 - (385*t[85])/9 - 6*t[86] - (2597*t[87])/36 - 
       (2177*t[88])/72 - (8113*t[89])/144 + (10*t[95])/3 + (10*t[96])/3 + 
       (37*t[97])/6 - 34*t[98] + 100*t[99] - 152*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((5*t[1])/12 + (283*t[2])/12 + (47*t[3])/144 - (1691*t[4])/144 + 
       (4069*t[5])/288 - (1819*t[6])/96 + (10745*t[7])/144 + 
       (2713*t[8])/144 + (1189*t[9])/32 - (6121*t[10])/96 + 
       (17869*t[11])/288 + (2471*t[12])/144 + (36409*t[13])/864 + 
       (3707*t[14])/576 + (24235*t[15])/1728 - t[17]/3 - 2*t[19] - 6*t[20] + 
       2*t[21] + 2*t[22] - 2*t[23] + (4*t[25])/3 + (4*t[26])/3 - 
       (8*t[27])/9 + (19*t[28])/9 - (29*t[29])/18 - (86*t[30])/9 - t[31]/3 + 
       (9*t[32])/2 - (22*t[33])/3 - 6*t[34] + 8*t[35] - (3*t[36])/2 - 
       (7*t[37])/3 - 2*t[38] + (199*t[39])/18 - (73*t[40])/12 + t[41] - 
       t[42] + (23*t[43])/24 + (287*t[44])/18 - (33*t[45])/4 - (7*t[46])/3 + 
       18*t[47] + (787*t[48])/288 - (781*t[49])/96 + (2575*t[50])/288 + 
       (2971*t[51])/576 - (1039*t[52])/288 + (1117*t[53])/96 - 
       (2467*t[54])/96 + (2*t[55])/3 + (2*t[58])/3 + (43*t[59])/12 - 
       (1217*t[60])/36 + 65*t[61] - (3749*t[62])/48 - (5845*t[63])/144 + 
       (443*t[64])/36 + (9245*t[65])/216 - (14417*t[66])/216 + (5*t[68])/3 - 
       4*t[69] + (2*t[70])/3 - (2*t[71])/3 + (52*t[72])/9 - (163*t[73])/6 + 
       (10*t[74])/3 + (116*t[75])/3 + t[76]/6 + (5*t[77])/2 + (55*t[78])/3 - 
       (77*t[79])/2 + 34*t[80] - (391*t[81])/18 + (113*t[82])/18 - 
       (32*t[83])/9 - (965*t[84])/72 - (2165*t[85])/72 + (117*t[86])/2 + 
       (3821*t[87])/72 + (3365*t[88])/144 - (1223*t[89])/72 + (16*t[95])/3 + 
       (16*t[96])/3 + (25*t[97])/6 - 34*t[98] + 100*t[99] - (386*t[100])/3 + 
       3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((-14*t[1])/3 - (5*t[2])/2 - (473*t[3])/144 - 
       (4189*t[4])/144 + (8297*t[5])/288 - (1483*t[6])/96 + (6025*t[7])/144 + 
       (5057*t[8])/144 + (919*t[9])/96 - (3199*t[10])/96 + (869*t[11])/288 + 
       (1343*t[12])/72 - (775*t[13])/864 + (11837*t[14])/576 + 
       (2485*t[15])/576 - t[16]/6 + 4*t[25] + (19*t[26])/6 - (10*t[27])/9 + 
       (23*t[28])/9 + (5*t[29])/18 - (88*t[30])/9 - (19*t[31])/3 + 
       (3*t[32])/2 - (3*t[33])/2 - (5*t[34])/2 + 8*t[35] + (23*t[36])/6 + 
       t[37]/3 - (37*t[38])/6 + (43*t[39])/9 - (19*t[40])/12 + (5*t[41])/4 - 
       (5*t[42])/4 - (19*t[43])/8 + (287*t[44])/36 - (55*t[45])/12 + 
       (11*t[46])/12 + (29*t[47])/3 + (2615*t[48])/288 + (473*t[49])/96 - 
       (2269*t[50])/288 - (283*t[51])/576 + (1933*t[52])/288 + 
       (823*t[53])/96 + (1637*t[54])/96 - t[58]/2 + (16*t[59])/3 - 
       (310*t[60])/9 + (257*t[61])/6 - (4231*t[62])/48 - (3527*t[63])/144 + 
       (1577*t[64])/72 - (205*t[65])/108 - (10199*t[66])/108 + (2*t[68])/3 + 
       2*t[69] - (10*t[70])/3 + (10*t[71])/3 + (11*t[72])/9 - (85*t[73])/3 - 
       (17*t[74])/3 + (227*t[75])/6 + (46*t[76])/3 + (13*t[77])/6 - 
       (39*t[78])/2 - (53*t[79])/2 + 22*t[80] - (271*t[81])/36 - 
       (97*t[82])/36 - (71*t[83])/18 - (385*t[84])/18 - (1531*t[85])/72 + 
       (93*t[86])/2 + (325*t[87])/72 - (1787*t[88])/144 - (1435*t[89])/72 + 
       (22*t[95])/3 + (37*t[96])/3 + (13*t[97])/3 + 58*t[98] - 20*t[99] - 
       (313*t[100])/3 + 3*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-13*t[1])/2 + (69*t[2])/4 + (25*t[3])/24 - 
       (1043*t[4])/24 + (5461*t[5])/48 + (1013*t[6])/24 + (775*t[7])/24 + 
       (2513*t[8])/24 - (4033*t[9])/48 - (9407*t[10])/48 + (493*t[11])/24 - 
       (1837*t[12])/24 + (9989*t[13])/432 + (16427*t[14])/288 + 
       (14881*t[15])/288 + 2*t[22] + 2*t[25] - 4*t[26] - 2*t[27] - 9*t[28] + 
       11*t[29] - 2*t[30] + 8*t[31] - t[32]/3 + t[33]/3 + (38*t[34])/3 + 
       18*t[35] + 12*t[36] + 3*t[37] - (8*t[38])/3 - (13*t[39])/3 - 
       (10*t[40])/3 - (19*t[41])/6 + (19*t[42])/6 + (469*t[43])/12 + 
       (73*t[45])/6 - (35*t[46])/6 - (134*t[47])/3 - (5*t[48])/6 + 
       (365*t[49])/48 - (193*t[50])/6 - (845*t[51])/96 + (59*t[52])/2 - 
       (365*t[53])/48 + (245*t[54])/8 - 2*t[58] + (49*t[59])/12 + 
       (3535*t[60])/24 + (1103*t[61])/24 - (839*t[62])/6 + (255*t[63])/2 + 
       (3637*t[64])/48 - (659*t[65])/36 - (113*t[66])/8 - 9*t[69] - 
       18*t[72] - 36*t[73] - (28*t[74])/3 - 13*t[75] + (61*t[76])/3 + 
       8*t[77] - (89*t[78])/6 - t[79] + (229*t[80])/3 + (68*t[81])/3 - 
       (133*t[82])/6 - (67*t[83])/2 + (103*t[84])/4 + (629*t[85])/12 + 
       (995*t[86])/6 - (1285*t[87])/12 - (1285*t[88])/24 + (1915*t[89])/48 + 
       (9*t[96])/2 + (28*t[97])/3 + 214*t[98] - 94*t[99] - 104*t[100] + 
       3*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-7*t[1])/3 - (38*t[2])/3 - (165*t[3])/8 + 
       (1037*t[4])/12 - (4619*t[5])/48 + (823*t[6])/24 + (1153*t[7])/24 + 
       (1085*t[8])/24 + (5987*t[9])/48 + (229*t[10])/6 - (533*t[11])/24 + 
       (205*t[12])/48 + (16603*t[13])/432 - (1105*t[14])/72 - 
       (4199*t[15])/96 - t[18] + 9*t[22] + t[26] - 5*t[27] - 10*t[28] + 
       14*t[29] - 14*t[30] + 9*t[31] + 2*t[32] - 2*t[33] - 10*t[36] - 
       6*t[37] - (20*t[40])/3 + (13*t[41])/6 - (13*t[42])/6 - 
       (223*t[43])/12 - (77*t[45])/2 - (3*t[46])/2 + 80*t[47] + 
       (19*t[48])/4 + (147*t[49])/8 - (7*t[50])/4 - (97*t[51])/16 + 
       (27*t[52])/4 - (147*t[53])/8 + (37*t[54])/2 + t[58] - (43*t[59])/6 + 
       (147*t[60])/4 - (733*t[61])/12 - 45*t[62] - (55*t[63])/2 + 
       (359*t[64])/24 - (947*t[65])/18 - (1235*t[66])/18 - 6*t[69] - 
       6*t[72] - 64*t[73] - 3*t[74] - 109*t[75] - 35*t[76] - t[77]/3 - 
       65*t[78] - 5*t[79] - 8*t[80] - 10*t[81] + 15*t[82] + 12*t[83] - 
       2*t[84] + (3*t[85])/2 - 3*t[86] + (33*t[87])/2 + (33*t[88])/4 + 
       (1723*t[89])/24 - t[97] + 38*t[98] - 60*t[99] - 100*t[100] + 
       3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((19*t[1])/12 - (101*t[2])/24 - (481*t[3])/72 - 
       (1969*t[4])/144 - (4765*t[5])/72 + (123*t[6])/16 + (2795*t[7])/72 + 
       (359*t[8])/36 + (2627*t[9])/24 - (4679*t[10])/96 + (6937*t[11])/144 + 
       (9179*t[12])/288 - (619*t[13])/72 + (35501*t[14])/576 - 
       (1787*t[15])/288 - (4*t[16])/3 - t[17] + (4*t[18])/3 + 6*t[19] - 
       10*t[20] - (14*t[21])/3 - (11*t[22])/3 + (14*t[23])/3 - 8*t[25] - 
       (2*t[26])/3 - (52*t[27])/9 - (112*t[28])/9 + (5*t[29])/18 - 
       (148*t[30])/9 + (7*t[31])/3 - (14*t[32])/3 + (4*t[33])/3 + 
       (37*t[34])/3 + (37*t[35])/3 - (49*t[36])/6 - (32*t[37])/3 - 
       (23*t[38])/6 - (68*t[39])/9 - (7*t[40])/3 + (2*t[42])/3 + 
       (3*t[43])/8 - (125*t[44])/18 - (87*t[45])/8 - (10*t[46])/3 + 
       (179*t[47])/12 - (1523*t[48])/144 + (763*t[49])/96 - (539*t[50])/144 + 
       (2177*t[51])/576 - (517*t[52])/144 - (811*t[53])/96 + (301*t[54])/24 + 
       (2*t[58])/3 + (67*t[59])/12 + (1573*t[60])/72 + (1849*t[61])/24 - 
       (745*t[62])/12 + (2221*t[63])/36 - (8165*t[64])/144 + 
       (559*t[65])/216 - (5345*t[66])/108 + (5*t[67])/6 + (9*t[68])/2 + 
       2*t[69] - (14*t[70])/3 + (14*t[71])/3 + (2*t[72])/9 - (173*t[73])/6 - 
       (2*t[74])/3 + (47*t[75])/2 + (59*t[76])/3 - t[77]/3 + (35*t[78])/6 + 
       (9*t[79])/2 + (209*t[80])/6 + (287*t[81])/36 - (13*t[82])/36 + 
       (487*t[83])/18 - (55*t[84])/18 + (695*t[85])/72 + (195*t[86])/4 - 
       (3083*t[87])/72 - (3083*t[88])/144 - (6497*t[89])/144 + t[91]/6 + 
       (7*t[92])/6 - 2*t[93] - (5*t[94])/6 + (5*t[97])/2 + 58*t[98] - 
       20*t[99] - 81*t[100] + 3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*((-13*t[1])/12 + (119*t[2])/24 + 
       (323*t[3])/48 + (1763*t[4])/48 + (4243*t[5])/96 + (325*t[6])/32 - 
       (977*t[7])/48 + (2071*t[8])/48 - (4183*t[9])/32 + (2051*t[10])/96 + 
       (6433*t[11])/96 + (559*t[12])/48 + (45361*t[13])/864 - 
       (8147*t[14])/192 + (74251*t[15])/1728 - (4*t[17])/3 + 4*t[20] + 
       4*t[21] - 4*t[23] - (4*t[24])/3 - (4*t[27])/3 - t[28] - (10*t[29])/3 + 
       (33*t[30])/2 + 2*t[31] + (25*t[32])/3 + (127*t[33])/6 - (46*t[34])/3 - 
       30*t[35] - (69*t[36])/2 - 2*t[37] + t[38]/2 - (49*t[39])/3 + 
       t[40]/12 + (19*t[41])/3 - (19*t[42])/3 - (39*t[43])/8 + (41*t[44])/6 + 
       (33*t[45])/4 - (29*t[46])/12 - (11*t[47])/2 - (2825*t[48])/96 - 
       (683*t[49])/32 + (633*t[50])/32 + (1395*t[51])/64 - (971*t[52])/96 + 
       (491*t[53])/32 + (1487*t[54])/96 + (7*t[55])/3 + (8*t[59])/3 - 
       (93*t[60])/2 + (23*t[61])/3 - (191*t[62])/4 - (1301*t[63])/12 + 
       (1015*t[64])/24 - 125*t[65] + (25*t[66])/12 + (8*t[68])/3 - 4*t[69] + 
       (14*t[70])/3 - (14*t[71])/3 + 16*t[72] - 52*t[73] + 3*t[74] - 
       25*t[75] - (56*t[76])/3 + (8*t[77])/3 - (50*t[78])/3 - (75*t[79])/2 + 
       (44*t[80])/3 - (136*t[81])/3 + (75*t[83])/2 - (535*t[84])/24 - 
       (223*t[85])/24 + (157*t[86])/2 + (453*t[87])/8 + (2359*t[88])/48 - 
       (77*t[89])/4 - 2*t[95] - (38*t[96])/3 - (20*t[97])/3 - 218*t[98] + 
       272*t[99] - 8*t[100] + 3*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((35*t[1])/18 + (191*t[2])/36 - 
       (125*t[3])/16 - (7411*t[4])/144 - (55*t[5])/18 - (11621*t[6])/288 + 
       (11891*t[7])/144 + (2027*t[8])/144 + (11375*t[9])/144 - 
       (1825*t[10])/288 + (16967*t[11])/288 + (8621*t[12])/288 + 
       (25381*t[13])/2592 + (11071*t[14])/576 + (617*t[15])/216 - t[16]/3 - 
       (5*t[17])/6 + 4*t[18] - 2*t[19] - 9*t[20] + 4*t[21] - (11*t[22])/3 - 
       4*t[23] + (11*t[24])/3 - (13*t[25])/3 + (133*t[26])/18 + 
       (62*t[27])/9 + (20*t[28])/9 + (265*t[29])/36 - (37*t[30])/9 - 
       (32*t[31])/3 - (25*t[32])/18 - (47*t[33])/18 + (359*t[34])/18 - 
       13*t[35] - (67*t[36])/6 + (5*t[37])/3 - (41*t[38])/6 + (49*t[39])/18 - 
       (139*t[40])/18 - (11*t[41])/36 + (83*t[42])/36 + (1037*t[43])/144 - 
       (209*t[44])/72 - (2255*t[45])/72 + (5*t[46])/2 + (619*t[47])/12 - 
       (1733*t[48])/288 - (277*t[49])/288 + (325*t[50])/96 - 
       (2639*t[51])/576 - (1759*t[52])/288 + (133*t[53])/288 - 
       (3737*t[54])/288 + t[56]/2 - t[57] + (8*t[58])/9 + (11*t[59])/2 - 
       (1121*t[60])/36 + (1879*t[61])/72 - (12325*t[62])/72 - 
       (1063*t[63])/18 + (1515*t[64])/16 + (24715*t[65])/216 - 
       (17161*t[66])/216 + (10*t[68])/3 - t[69]/3 - 8*t[70] + 8*t[71] + 
       10*t[72] - (185*t[73])/6 - (11*t[74])/3 + (215*t[75])/6 + 
       (61*t[76])/9 + (25*t[77])/6 + (151*t[78])/18 - (21*t[79])/2 + 
       (1705*t[80])/18 + (83*t[81])/12 + (79*t[82])/3 + (56*t[83])/3 - 
       (145*t[84])/8 + (391*t[85])/18 + (1451*t[86])/12 + (127*t[87])/72 + 
       (127*t[88])/144 + (445*t[89])/24 + t[91]/12 - t[93] + (53*t[97])/18 + 
       (235*t[98])/3 - (259*t[99])/3 + (133*t[100])/6 + 3*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-39*t[1])/4 + (155*t[2])/8 - (227*t[3])/48 - (443*t[4])/16 + 
       (1687*t[5])/96 + (2723*t[6])/96 + (165*t[7])/16 + (225*t[8])/16 + 
       (109*t[9])/32 - (2279*t[10])/32 - (97*t[11])/32 + (443*t[12])/16 + 
       (9911*t[13])/288 - (23197*t[14])/576 - (3925*t[15])/192 + 
       (8*t[16])/3 - (32*t[25])/3 + (49*t[26])/3 + (28*t[27])/3 + 20*t[28] - 
       (41*t[29])/2 + (3*t[30])/2 - 7*t[31] - (3*t[32])/2 + (3*t[33])/2 + 
       4*t[34] - 5*t[35] - (7*t[36])/6 + 9*t[37] - (43*t[38])/6 - 
       (17*t[39])/3 - (103*t[40])/12 - 2*t[41] + 2*t[42] + t[43]/8 + 
       (109*t[44])/4 - (49*t[45])/4 + (85*t[46])/12 + 23*t[47] - 
       (2629*t[48])/96 - (3833*t[49])/96 + (2495*t[50])/96 + (967*t[51])/64 - 
       (213*t[52])/32 + (4105*t[53])/96 - (181*t[54])/96 + t[58] + 
       (5*t[59])/3 - 50*t[60] - (304*t[61])/3 + (85*t[62])/4 - 
       (3623*t[63])/12 + (1123*t[64])/24 - (65*t[65])/2 - (299*t[66])/4 + 
       (2*t[68])/3 + (2*t[70])/3 - (2*t[71])/3 + 20*t[72] - 28*t[73] + 
       5*t[74] - 57*t[75] + (40*t[76])/3 + (26*t[77])/3 - (182*t[78])/3 - 
       (75*t[79])/2 + (56*t[80])/3 - (94*t[81])/3 - 9*t[82] + (19*t[83])/2 + 
       (53*t[84])/24 + (1097*t[85])/24 + (117*t[86])/2 + (397*t[87])/8 + 
       (1327*t[88])/48 + 38*t[89] + 2*t[95] - (26*t[96])/3 - (26*t[97])/3 - 
       26*t[98] + 8*t[99] + 92*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((27*t[1])/2 - (137*t[2])/24 - (88*t[3])/3 + (1313*t[4])/16 - 
       (1081*t[5])/16 - 17*t[6] + (229*t[7])/6 - (1387*t[8])/24 + 
       (1415*t[9])/48 + (1197*t[10])/32 + (967*t[11])/12 + (233*t[12])/96 + 
       (22211*t[13])/432 - (3731*t[14])/192 + (937*t[15])/72 + t[16]/3 + 
       (19*t[17])/6 - (2*t[18])/3 - 34*t[20] - (2*t[21])/3 + 3*t[22] + 
       (2*t[23])/3 - (20*t[24])/3 - 7*t[25] + (7*t[26])/6 - 44*t[28] + 
       7*t[29] + 30*t[30] + t[31] + (29*t[32])/6 - (7*t[33])/2 - 
       (61*t[34])/6 - 4*t[35] - (5*t[36])/6 - 11*t[37] + (7*t[38])/3 - 
       (47*t[39])/2 + (91*t[40])/6 + (13*t[41])/4 - (43*t[42])/12 + 
       (7*t[43])/24 + 12*t[44] + (139*t[45])/24 - t[46]/12 - (7*t[47])/4 - 
       (431*t[48])/12 - (1823*t[49])/96 + (101*t[50])/4 + (3545*t[51])/192 - 
       (171*t[52])/4 + (1967*t[53])/96 - (91*t[54])/16 - t[56]/3 + 
       (4*t[57])/3 + (7*t[58])/6 + (37*t[59])/3 - (815*t[60])/12 + 
       (803*t[61])/6 - (7567*t[62])/48 + (297*t[63])/16 + (2461*t[64])/24 - 
       (1979*t[65])/8 - (451*t[66])/6 - t[67]/3 - (7*t[68])/3 + (4*t[70])/3 - 
       (4*t[71])/3 + 19*t[72] - 60*t[73] - (20*t[74])/3 - 66*t[75] - 
       37*t[76] + (49*t[77])/2 - (95*t[78])/3 - t[80]/2 - 26*t[81] - 
       (83*t[82])/6 + 74*t[83] - (93*t[84])/2 - (32*t[85])/3 - (23*t[86])/4 + 
       (386*t[87])/3 + (193*t[88])/3 + (35*t[89])/24 + t[91]/6 - t[92]/3 + 
       2*t[93] + t[94]/3 - t[97] - 26*t[98] + 8*t[99] + 92*t[100] + 
       3*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((9*t[1])/4 - (395*t[2])/72 + (443*t[3])/36 - 
       (139*t[4])/36 + (703*t[5])/144 - (3205*t[6])/96 + (503*t[7])/24 - 
       (1505*t[8])/36 + (1213*t[9])/72 - (437*t[10])/16 - (137*t[11])/288 - 
       (56*t[12])/3 - (1201*t[13])/48 + (4303*t[14])/432 - (6383*t[15])/432 - 
       t[16]/6 + (4*t[25])/9 - (5*t[26])/9 - (10*t[27])/9 + (2*t[28])/9 + 
       (101*t[29])/18 - (88*t[30])/9 + (106*t[31])/9 + (19*t[32])/6 - 
       (19*t[33])/6 - (73*t[34])/18 + (46*t[35])/3 + (22*t[36])/3 + 
       (16*t[37])/3 + (7*t[38])/6 + (7*t[39])/9 - (133*t[40])/36 + 
       (73*t[41])/36 - (73*t[42])/36 + (11*t[43])/36 + (203*t[44])/36 - 
       5*t[45] - (59*t[46])/72 + (67*t[47])/6 - (607*t[48])/96 + 
       (547*t[49])/16 - (587*t[50])/96 - (3211*t[51])/288 + (977*t[52])/288 - 
       (787*t[53])/48 + (317*t[54])/32 - (17*t[58])/18 + (11*t[59])/36 - 
       (2783*t[60])/144 - (527*t[61])/48 - (13807*t[62])/288 + 
       (2371*t[63])/32 - (647*t[64])/288 - (41801*t[65])/432 - 
       (2567*t[66])/48 - (10*t[68])/3 - t[69] - 4*t[70] + 4*t[71] + t[72] - 
       32*t[73] - (4*t[74])/3 + (92*t[75])/3 + (263*t[76])/18 - 
       (19*t[77])/18 - (205*t[78])/9 - (92*t[79])/3 + (95*t[80])/6 + 
       (73*t[81])/18 - (47*t[82])/36 - (73*t[83])/6 - (5977*t[84])/144 - 
       (2549*t[85])/144 - (167*t[86])/18 - (767*t[87])/16 - (4333*t[88])/96 - 
       (8273*t[89])/288 + (46*t[95])/3 + 16*t[96] + (107*t[97])/18 + 
       (169*t[98])/3 - (193*t[99])/3 + (281*t[100])/3 + 3*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-11*t[1])/6 - (41*t[2])/3 + (1051*t[3])/48 - (1855*t[4])/48 + 
       (1647*t[5])/32 - (5375*t[6])/96 + (1525*t[7])/48 - (1113*t[8])/16 - 
       (4387*t[9])/96 + (227*t[10])/32 + (899*t[11])/96 + (287*t[12])/48 - 
       (22753*t[13])/864 - (2873*t[14])/192 + (7739*t[15])/576 - t[16]/3 + 
       2*t[25] - t[26]/2 + 3*t[27] - (16*t[28])/3 - t[29]/2 + (37*t[30])/3 + 
       (10*t[31])/3 - (5*t[32])/6 + (5*t[33])/6 - (5*t[34])/6 + 
       (17*t[35])/3 + (3*t[36])/2 + (20*t[37])/3 - (13*t[38])/6 - 
       (23*t[39])/6 + (29*t[40])/4 + (5*t[41])/12 - (5*t[42])/12 + 
       (161*t[43])/24 - (85*t[44])/12 + (21*t[45])/4 + (13*t[46])/4 - 
       (37*t[47])/3 - (2131*t[48])/96 + (757*t[49])/96 + (75*t[50])/32 - 
       (1061*t[51])/192 - (507*t[52])/32 - (101*t[53])/96 - (379*t[54])/96 - 
       (13*t[58])/6 + (35*t[59])/6 - (134*t[60])/3 + (443*t[61])/12 - 
       (4661*t[62])/48 + (5749*t[63])/48 - (3*t[64])/4 - (533*t[65])/9 + 
       (209*t[66])/6 - 3*t[68] + 2*t[69] + (2*t[70])/3 - (2*t[71])/3 + 
       (19*t[72])/3 - 48*t[73] + (4*t[74])/3 + (263*t[75])/6 + (19*t[76])/3 + 
       (5*t[77])/2 - (97*t[78])/6 - 2*t[79] + 8*t[80] - (157*t[81])/12 + 
       (239*t[82])/12 + 30*t[83] - (517*t[84])/12 - (851*t[85])/24 + 
       (130*t[86])/3 - (899*t[87])/24 - (739*t[88])/48 - (97*t[89])/2 + 
       (10*t[95])/3 + (25*t[96])/3 + 8*t[97] + 18*t[98] + 8*t[99] + 
       (341*t[100])/3 + 3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*(-t[1]/4 - (25*t[2])/8 + 
       (237*t[3])/8 - (2455*t[4])/48 + (191*t[5])/4 - (469*t[6])/16 + 
       (51*t[7])/8 - (201*t[8])/4 - (121*t[9])/2 + (835*t[10])/32 - 
       (1627*t[11])/48 - (467*t[12])/96 - (13799*t[13])/432 - 
       (6617*t[14])/192 + (10195*t[15])/288 + (5*t[16])/6 + t[17]/3 + 
       (4*t[18])/3 - 2*t[19] + 19*t[20] - (14*t[21])/3 - 6*t[22] + 
       (14*t[23])/3 - (5*t[24])/3 - (22*t[25])/3 - t[26]/3 - (4*t[27])/3 - 
       (11*t[29])/3 + (5*t[30])/6 + (19*t[31])/3 + (7*t[32])/6 - t[33]/6 + 
       11*t[34] + (31*t[35])/3 - (11*t[36])/6 - (10*t[37])/3 - (7*t[38])/6 - 
       (17*t[39])/6 - (23*t[40])/6 - (7*t[41])/3 + 3*t[42] + (15*t[43])/8 + 
       (4*t[44])/3 + (83*t[45])/24 - (7*t[46])/6 - (87*t[47])/4 - 
       (859*t[48])/48 + (515*t[49])/96 + (917*t[50])/48 - (77*t[51])/192 - 
       (247*t[52])/16 - (275*t[53])/96 - (83*t[54])/4 - t[56]/3 - 
       (8*t[57])/3 - (7*t[58])/3 + (43*t[59])/12 - (227*t[60])/8 - 
       (283*t[61])/24 + (97*t[62])/12 + (1501*t[63])/12 - (7271*t[64])/48 + 
       (1591*t[65])/72 + (961*t[66])/6 - (7*t[67])/6 - (3*t[68])/2 + 
       6*t[69] - (2*t[70])/3 + (2*t[71])/3 + (17*t[72])/3 - (87*t[73])/2 - 
       (20*t[74])/3 + (325*t[75])/6 + (28*t[76])/3 + (31*t[77])/3 + 
       (49*t[78])/2 - (23*t[79])/2 + (137*t[80])/6 - (39*t[81])/4 + 
       (105*t[82])/4 + (49*t[83])/2 - (181*t[84])/12 - (239*t[85])/24 - 
       (173*t[86])/4 - (89*t[87])/24 - (89*t[88])/48 - (489*t[89])/16 + 
       t[91]/6 - (5*t[92])/6 + (7*t[94])/6 + (19*t[97])/6 + 6*t[98] + 
       20*t[99] + (388*t[100])/3 + 3*t[102]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-2*t[1])/3 - (55*t[2])/6 + (233*t[3])/6 + (425*t[4])/4 - 111*t[5] - 
       (353*t[6])/24 + (1615*t[7])/24 - (2207*t[8])/24 + (1365*t[9])/8 - 
       (111*t[10])/4 - (202*t[11])/3 + (611*t[12])/24 - (20965*t[13])/432 - 
       (3427*t[14])/48 - (19993*t[15])/144 - t[18]/3 - 12*t[19] + 3*t[20] + 
       12*t[21] - (8*t[22])/3 - 12*t[23] + 6*t[25] + (5*t[26])/3 - 10*t[28] + 
       9*t[29] - 24*t[30] + 3*t[31] + (28*t[32])/3 - (28*t[33])/3 - 
       (13*t[34])/3 - 18*t[35] - 24*t[36] + 9*t[37] - (9*t[38])/2 + 
       (29*t[39])/6 - (17*t[40])/3 - (11*t[41])/3 + (13*t[42])/3 - 
       (799*t[43])/24 + 5*t[44] - (785*t[45])/12 - (25*t[46])/3 + 
       (309*t[47])/2 + (85*t[48])/12 + (1007*t[49])/24 + (305*t[50])/12 - 
       (139*t[51])/48 - (241*t[52])/12 - (863*t[53])/24 - (137*t[54])/6 + 
       (5*t[58])/3 + (109*t[59])/12 - (509*t[60])/24 - (1693*t[61])/24 - 
       (281*t[62])/6 + (377*t[63])/2 + (4897*t[64])/48 + (1093*t[65])/36 + 
       (1067*t[66])/8 - 9*t[69] + 6*t[72] - 60*t[73] - (28*t[74])/3 - 
       13*t[75] - (53*t[76])/3 - 10*t[77] - (41*t[78])/6 - t[79] + 
       (157*t[80])/3 - (16*t[81])/3 + (143*t[82])/6 + (29*t[83])/2 + 
       (63*t[84])/4 - (115*t[85])/12 + (539*t[86])/6 + (83*t[87])/12 + 
       (83*t[88])/24 + (199*t[89])/48 + (9*t[96])/2 + (22*t[97])/3 - 
       26*t[98] + 2*t[99] + 181*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-89*t[1])/12 + (1441*t[2])/24 + (1101*t[3])/16 - (281*t[4])/3 + 
       (2627*t[5])/24 - (7103*t[6])/96 + (1113*t[7])/16 - (10147*t[8])/48 + 
       (2011*t[9])/24 + (3667*t[10])/48 - (10399*t[11])/96 + (333*t[12])/8 - 
       (49889*t[13])/288 - (1127*t[14])/288 - (24101*t[15])/288 - 3*t[17] - 
       (16*t[19])/9 + 6*t[21] - 3*t[22] - 6*t[23] - 6*t[24] - (8*t[26])/3 + 
       9*t[27] - 21*t[28] + (69*t[29])/4 + (51*t[30])/2 - 9*t[31] + 
       (9*t[32])/2 - (33*t[33])/2 + (130*t[34])/3 - t[35] - (53*t[36])/6 + 
       3*t[37] - (32*t[38])/3 - 27*t[39] + (17*t[40])/3 + (7*t[41])/3 - 
       (7*t[42])/3 - (45*t[43])/16 - (159*t[44])/8 - 87*t[45] + 
       (33*t[46])/4 + (159*t[47])/2 - (5383*t[48])/96 + (671*t[49])/24 + 
       (349*t[50])/96 - (241*t[51])/6 + (1315*t[52])/96 - (719*t[53])/24 - 
       (3853*t[54])/96 + (3*t[56])/2 - 3*t[57] - (4*t[58])/3 + (57*t[59])/4 + 
       (6875*t[60])/48 - (2243*t[61])/16 - (987*t[62])/8 + (656*t[63])/3 - 
       (10865*t[64])/32 + (1967*t[65])/24 + (4321*t[66])/144 - (3*t[68])/2 + 
       7*t[69] + 3*t[72] - 57*t[73] + (22*t[74])/3 + 32*t[75] - 
       (35*t[76])/3 - (33*t[77])/4 - (251*t[78])/3 + 29*t[79] + 
       (77*t[80])/4 + (64*t[81])/3 + (163*t[82])/4 + 3*t[83] + 
       (613*t[84])/16 + (2807*t[85])/48 + (779*t[86])/8 - (9199*t[87])/48 - 
       (8959*t[88])/96 - (3941*t[89])/32 - (8*t[95])/3 + (40*t[97])/3 - 
       26*t[98] + 2*t[99] + 181*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-13*t[1] - (31*t[2])/4 - (113*t[3])/2 - (169*t[4])/6 - (187*t[5])/8 + 
       (901*t[6])/12 + (1163*t[7])/12 + 192*t[8] + (1505*t[9])/24 + 
       (167*t[10])/12 - (13*t[11])/2 + (425*t[12])/24 - (3535*t[13])/108 + 
       (5423*t[14])/36 - (115*t[15])/144 - 2*t[16] - (23*t[19])/9 + 4*t[20] + 
       6*t[21] - 4*t[22] - 6*t[23] + 2*t[25] + (7*t[26])/3 - (34*t[27])/3 - 
       (40*t[28])/3 - (2*t[29])/3 - t[30]/3 + 4*t[31] - (5*t[32])/3 + 
       (5*t[33])/3 - 5*t[34] - 2*t[35] + 13*t[36] + (40*t[37])/3 - 
       (43*t[38])/3 - (10*t[39])/3 - (25*t[40])/3 + (13*t[41])/2 - 
       (13*t[42])/2 - (25*t[43])/3 - t[44]/3 + (89*t[45])/12 - 
       (187*t[46])/6 - (29*t[47])/2 + (703*t[48])/12 + (827*t[49])/12 - 
       (569*t[50])/12 - (13*t[51])/24 + (629*t[52])/12 - (505*t[53])/12 + 
       (331*t[54])/4 + t[58] + (46*t[59])/3 + (2249*t[60])/24 + 
       (1529*t[61])/8 - (2561*t[62])/12 + (2257*t[63])/6 - (3083*t[64])/48 - 
       (11*t[65])/36 - (16795*t[66])/72 + 6*t[68] - 10*t[69] - 7*t[70] + 
       7*t[71] - 21*t[72] - 50*t[73] - 14*t[74] + 52*t[75] + (64*t[76])/3 + 
       17*t[77] - (32*t[78])/3 + 5*t[79] - (71*t[80])/6 + (115*t[81])/3 - 
       (115*t[82])/3 - (93*t[83])/2 + (205*t[84])/24 - (301*t[85])/8 + 
       (225*t[86])/4 - (4081*t[87])/24 - (5129*t[88])/48 - (2713*t[89])/48 + 
       t[91]/6 - 2*t[93] + 16*t[95] + 24*t[96] + 13*t[97] + 80*t[98] - 
       16*t[99] - 264*t[100] + 4*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((11*t[1])/2 - (85*t[2])/12 - 
       (1075*t[3])/24 - (231*t[4])/8 - (4279*t[5])/48 + (1151*t[6])/16 + 
       (3625*t[7])/24 + (1763*t[8])/24 + (4401*t[9])/16 - (3973*t[10])/16 + 
       (5485*t[11])/48 + (403*t[12])/3 + (35329*t[13])/432 + 
       (27805*t[14])/288 - (16543*t[15])/288 - 2*t[16] + t[17] + 2*t[18] - 
       2*t[20] + 2*t[21] + (7*t[22])/3 - 2*t[23] - 6*t[24] + (4*t[25])/3 - 
       (13*t[26])/3 - (40*t[27])/3 + (2*t[28])/3 - (8*t[29])/3 + 
       (2*t[30])/3 - (53*t[31])/6 + (16*t[32])/3 - (29*t[33])/3 + 31*t[34] - 
       8*t[35] - 5*t[36] + 4*t[37] - 14*t[38] + 9*t[39] - (80*t[40])/3 - 
       (29*t[41])/6 + (35*t[42])/6 - (169*t[43])/6 - (52*t[44])/3 - 
       54*t[45] - (211*t[46])/12 + (404*t[47])/3 + (597*t[48])/16 - 
       (227*t[49])/48 - (401*t[50])/48 + (1811*t[51])/96 + (1217*t[52])/48 + 
       (227*t[53])/48 + (1343*t[54])/48 + 3*t[58] + (37*t[59])/3 + 
       (4543*t[60])/24 + (5213*t[61])/24 - (4201*t[62])/16 + 
       (12019*t[63])/48 + (2625*t[64])/16 + (7489*t[65])/36 - 
       (27163*t[66])/72 + 2*t[68] - 8*t[69] - 7*t[70] + 7*t[71] - 18*t[72] - 
       42*t[73] - (25*t[74])/2 + 32*t[75] + 20*t[76] + (17*t[77])/6 - 
       41*t[78] + (22*t[79])/3 + (931*t[80])/6 + (451*t[81])/12 - 
       (113*t[82])/12 - (371*t[83])/6 + (739*t[84])/12 + (851*t[85])/24 + 
       (701*t[86])/4 - (4615*t[87])/24 - (4711*t[88])/48 + (31*t[89])/48 + 
       t[91]/6 - 2*t[93] + 8*t[97] + 80*t[98] - 16*t[99] - 245*t[100] + 
       4*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-107*t[1])/12 + (59*t[2])/3 + (6515*t[3])/72 + 
       (5035*t[4])/72 - (243*t[5])/4 + (139*t[6])/4 - (53*t[7])/9 - 
       (4097*t[8])/36 + (10103*t[9])/72 - (13225*t[10])/144 - 
       (3469*t[11])/72 + (3199*t[12])/48 - (9167*t[13])/216 - 
       (132871*t[14])/864 - (54629*t[15])/432 + t[16] + (17*t[18])/3 + 
       6*t[19] - 6*t[20] - 4*t[21] - 25*t[22] + (11*t[23])/3 + 12*t[24] - 
       8*t[25] - (43*t[26])/6 - 8*t[27] - 4*t[28] + (73*t[29])/2 + 5*t[30] - 
       (37*t[31])/6 - (7*t[32])/3 - (8*t[33])/3 + (121*t[34])/6 + 20*t[35] + 
       3*t[36] + 4*t[37] - 4*t[38] - (35*t[39])/6 - (101*t[40])/6 + 
       (85*t[41])/12 - (47*t[42])/12 - (815*t[43])/36 - (37*t[44])/2 - 
       (163*t[45])/4 - (89*t[46])/12 + (719*t[47])/6 + (1429*t[48])/24 + 
       (565*t[49])/144 + (227*t[50])/72 + (4847*t[51])/288 + (505*t[52])/72 - 
       (1861*t[53])/144 + (208*t[54])/9 + (17*t[58])/6 - (23*t[59])/4 - 
       (137*t[60])/6 + (376*t[61])/3 - (7403*t[62])/72 + (23699*t[63])/72 + 
       (6169*t[64])/72 + (55507*t[65])/216 + (2693*t[66])/54 + t[68] + 
       4*t[69] - 6*t[70] + 6*t[71] + 6*t[72] - 22*t[73] - (227*t[74])/6 + 
       54*t[75] + (91*t[76])/6 - (31*t[77])/2 + (115*t[78])/3 + 
       (109*t[79])/3 - (241*t[80])/2 - (31*t[81])/12 + (49*t[82])/12 - 
       (662*t[83])/9 + (1937*t[84])/72 - (226*t[85])/9 - (3229*t[86])/36 - 
       (1765*t[87])/36 - (1909*t[88])/72 + (5659*t[89])/72 + t[91]/6 + 
       2*t[93] - 6*t[96] - (11*t[97])/6 + 140*t[98] - 88*t[99] - 
       (257*t[100])/3 + 4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-431*t[2])/24 + 
       (689*t[3])/36 - (1729*t[4])/72 + (1117*t[5])/18 - (110*t[6])/3 + 
       (80*t[7])/9 - (1997*t[8])/36 - (483*t[9])/8 - (1583*t[10])/48 + 
       (103*t[11])/72 - (2779*t[12])/144 - (3103*t[13])/216 - 
       (29509*t[14])/288 + (77*t[15])/9 - t[16] + 2*t[19] + 2*t[21] - 
       2*t[23] - (17*t[25])/3 - (38*t[26])/3 + (10*t[27])/9 - (164*t[28])/9 - 
       (119*t[29])/18 + (64*t[30])/9 - (28*t[31])/3 - t[32] + t[33] + 
       (7*t[34])/3 - 13*t[35] - 13*t[36] + t[37]/3 + 2*t[38] - 
       (127*t[39])/9 + (17*t[40])/3 + (5*t[41])/6 - (5*t[42])/6 + 
       (13*t[43])/6 + (83*t[44])/18 + (3*t[45])/4 - (35*t[46])/12 - 
       (5*t[47])/2 - (142*t[48])/9 + (95*t[49])/48 + (116*t[50])/9 + 
       (4127*t[51])/288 - (221*t[52])/9 + (25*t[53])/48 - (165*t[54])/8 - 
       (7*t[58])/3 - (13*t[59])/6 - (6991*t[60])/72 - (835*t[61])/24 + 
       (455*t[62])/16 - (9931*t[63])/144 + (16631*t[64])/144 - 
       (14575*t[65])/216 + (1706*t[66])/27 + t[68] - 2*t[69] + (58*t[72])/9 - 
       (121*t[73])/6 + (17*t[75])/3 + (61*t[76])/3 + (17*t[77])/6 - 
       20*t[78] + 18*t[79] + (35*t[80])/2 - (110*t[81])/9 + (233*t[82])/18 + 
       (343*t[83])/9 - (2567*t[84])/72 - (1703*t[85])/72 + (79*t[86])/12 + 
       (4649*t[87])/72 + (4649*t[88])/144 - (2635*t[89])/144 + t[91]/6 - 
       2*t[93] - (5*t[97])/3 - 20*t[98] + 60*t[99] - (251*t[100])/3 + 
       4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((59*t[1])/12 - (85*t[2])/6 - (15*t[3])/2 - 
       (4549*t[4])/24 + (629*t[5])/12 - (599*t[6])/48 + (161*t[7])/4 + 
       (184*t[8])/3 - (1025*t[9])/24 - (973*t[10])/48 - (731*t[11])/16 - 
       (1141*t[12])/48 - (5789*t[13])/72 - (2251*t[14])/32 + 
       (2411*t[15])/72 - t[16] - (5*t[19])/3 - 4*t[20] - 2*t[21] + 4*t[22] + 
       2*t[23] - 20*t[25] + (25*t[26])/6 - 10*t[28] - t[29] - 12*t[30] - 
       6*t[31] - t[32] + t[33] - (23*t[34])/6 - 14*t[35] - t[36] - 
       (40*t[37])/3 + (14*t[38])/3 - (5*t[39])/2 - (49*t[40])/6 + 
       (23*t[41])/12 - (23*t[42])/12 + 4*t[43] + 4*t[44] - (5*t[45])/4 + 
       (11*t[46])/3 + (7*t[47])/2 + (1031*t[48])/48 + (375*t[49])/16 - 
       (1025*t[50])/48 - (1331*t[51])/96 + (985*t[52])/48 + (443*t[53])/48 + 
       (9*t[54])/16 - t[58]/6 - (31*t[59])/12 - (3061*t[60])/8 + 
       (417*t[61])/8 + (527*t[62])/8 + (3049*t[63])/24 + (11893*t[64])/48 + 
       (779*t[65])/4 + (6283*t[66])/24 + 7*t[68] + 19*t[72] - 4*t[73] - 
       14*t[74] + 32*t[75] + (59*t[76])/2 + 15*t[77] - 78*t[78] + 59*t[79] + 
       (67*t[80])/2 - (77*t[81])/6 + (77*t[82])/3 - (1885*t[84])/24 - 
       (1261*t[85])/24 + (241*t[86])/4 + (2159*t[87])/24 + (1495*t[88])/48 - 
       (1561*t[89])/48 + t[91]/6 - 2*t[93] + 16*t[95] + 20*t[96] + 
       (37*t[97])/6 + 140*t[98] - 88*t[99] - (200*t[100])/3 + 4*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-113*t[1])/12 - (53*t[2])/2 + (173*t[3])/12 - (95*t[4])/12 + 
       (231*t[5])/4 - (93*t[6])/4 + 30*t[7] - (193*t[8])/12 - (31*t[9])/6 - 
       (725*t[10])/24 + (179*t[11])/6 + (23*t[12])/8 - (47*t[13])/2 - 
       (4825*t[14])/144 - (39*t[15])/2 - t[16] + (8*t[19])/3 + 2*t[21] - 
       2*t[23] + (4*t[25])/3 - (61*t[26])/6 - (7*t[27])/3 - (16*t[28])/3 - 
       (14*t[29])/3 - (7*t[30])/3 - (38*t[31])/3 - t[32] + t[33] + 
       (3*t[34])/2 - 18*t[35] - 23*t[36] - (16*t[37])/3 - (20*t[38])/3 - 
       (11*t[39])/3 - 2*t[40] + (5*t[41])/4 - (5*t[42])/4 - t[43]/3 - 
       t[44]/3 + (11*t[45])/4 + (26*t[46])/3 - (9*t[47])/2 + (25*t[48])/6 + 
       (389*t[49])/24 - (25*t[50])/6 - (169*t[51])/16 - (10*t[52])/3 - 
       (55*t[53])/8 - (121*t[54])/6 - (3*t[58])/2 + (349*t[59])/36 + 
       (107*t[60])/8 - (803*t[61])/8 - (603*t[62])/8 + (1403*t[63])/24 - 
       (535*t[64])/48 - (136*t[65])/9 + (1543*t[66])/72 + 2*t[68] - 
       10*t[69] + 3*t[70] - 3*t[71] + t[72] - 34*t[73] + 4*t[74] - 15*t[75] + 
       (43*t[76])/2 + (83*t[77])/6 - (278*t[78])/3 + (153*t[79])/2 + 
       (21*t[80])/2 + 15*t[81] + (39*t[82])/2 + (57*t[83])/2 + 
       (275*t[84])/24 + (269*t[85])/24 + (977*t[86])/12 - (1835*t[87])/24 - 
       (1763*t[88])/48 - (183*t[89])/16 + t[91]/6 - 2*t[93] + (15*t[97])/2 + 
       132*t[98] - 114*t[99] - 44*t[100] + 4*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((929*t[1])/36 + (29*t[2])/3 + (1297*t[3])/24 - (2287*t[4])/24 + 
       (4225*t[5])/48 + (95*t[6])/4 + (199*t[7])/3 - (1181*t[8])/12 - 
       (4255*t[9])/48 - (4853*t[10])/48 - (441*t[11])/4 - (2663*t[12])/24 - 
       (46151*t[13])/432 - (20431*t[14])/288 + (3487*t[15])/288 + t[16] + 
       t[18]/3 + 6*t[19] - 12*t[21] - (41*t[22])/3 + 11*t[23] - 30*t[25] + 
       (13*t[26])/2 - (34*t[27])/3 - (46*t[28])/3 - (2*t[29])/3 + 
       (20*t[30])/3 + 3*t[31] + (10*t[32])/3 - (11*t[34])/6 + 20*t[35] + 
       t[36] - 14*t[37] + 10*t[38] - (32*t[39])/3 - (107*t[41])/12 + 
       (35*t[42])/4 + (503*t[43])/24 + (38*t[44])/3 + 20*t[45] - 6*t[46] - 
       (130*t[47])/3 + (317*t[48])/24 - (275*t[49])/48 + (637*t[50])/24 + 
       (1023*t[51])/32 - (577*t[52])/24 + (323*t[53])/48 + (37*t[54])/12 + 
       t[58]/2 + (433*t[59])/36 + (202*t[60])/3 - 16*t[61] - 
       (1001*t[62])/48 + (21509*t[63])/48 + (1645*t[64])/24 - (49*t[65])/72 + 
       (2342*t[66])/9 - t[68] + 4*t[69] + 3*t[70] - 3*t[71] - t[72] - 
       76*t[73] + 93*t[75] - (11*t[76])/2 + (11*t[77])/6 + 46*t[78] + t[79] + 
       (167*t[80])/6 + 3*t[81] + (26*t[82])/3 - (427*t[83])/6 + 
       (371*t[84])/6 + (11*t[85])/12 + (525*t[86])/4 - (1069*t[87])/12 - 
       (1069*t[88])/24 + (11*t[89])/4 + t[91]/6 + (19*t[97])/2 + 132*t[98] - 
       114*t[99] - 44*t[100] + 4*t[102]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((-10*t[1])/3 + 
       (41*t[2])/3 + (39*t[3])/2 - (76*t[4])/3 - (125*t[5])/12 - (5*t[6])/3 - 
       (505*t[7])/12 + (989*t[8])/12 - (87*t[9])/2 + (29*t[10])/6 - 
       (827*t[11])/6 - (29*t[12])/2 - (4411*t[13])/108 - (8303*t[14])/72 + 
       (325*t[15])/36 - (2*t[19])/9 + 2*t[25] - 4*t[26] + 14*t[27] + 
       2*t[28] - 8*t[29] + 8*t[30] - 4*t[31] + (16*t[34])/3 + 6*t[35] + 
       10*t[36] + (2*t[37])/3 - (2*t[38])/3 + (28*t[39])/3 - 4*t[40] - 
       (8*t[41])/3 + (8*t[42])/3 - (63*t[43])/4 - 20*t[44] + (9*t[45])/2 + 
       t[46] - 9*t[47] + (94*t[48])/3 - (73*t[49])/4 + (34*t[50])/3 + 
       (107*t[51])/8 - 6*t[52] + (97*t[53])/12 + (175*t[54])/6 - 
       (8*t[59])/3 - (441*t[60])/4 - (1621*t[61])/12 + 81*t[62] + 
       (475*t[63])/3 + (403*t[64])/8 + (2257*t[65])/18 + (5141*t[66])/36 - 
       2*t[68] - 5*t[69] - t[72] - 34*t[73] - 6*t[75] - 16*t[76] - t[77]/3 + 
       (80*t[78])/3 + 12*t[79] - (86*t[80])/3 - (7*t[81])/3 + (91*t[82])/3 + 
       (89*t[83])/2 - (161*t[84])/12 - (179*t[85])/12 - 32*t[86] + 
       (315*t[87])/4 + (315*t[88])/8 + (161*t[89])/8 - 10*t[96] - 
       (20*t[97])/3 - 260*t[98] + 420*t[99] - 19*t[100] + 4*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((13*t[1])/6 - (21*t[2])/2 + (64*t[3])/3 - (1525*t[4])/12 + 
       (1607*t[5])/24 + (1181*t[6])/24 + (1769*t[7])/12 + (1427*t[8])/12 + 
       (1099*t[9])/24 - (1351*t[10])/24 + (87*t[11])/8 + (55*t[12])/2 - 
       (1207*t[13])/108 - (1381*t[14])/144 + (763*t[15])/144 - 6*t[17] + 
       6*t[19] - 4*t[20] - 10*t[21] + (41*t[22])/3 + 10*t[23] - 24*t[24] + 
       2*t[27] - 24*t[28] + t[29] + 2*t[30] - 12*t[31] - (10*t[32])/3 - 
       (38*t[33])/3 + (20*t[34])/3 + 8*t[35] - 2*t[36] - 12*t[37] - 
       (8*t[38])/3 - (4*t[39])/3 - (32*t[40])/3 - 4*t[41] + 4*t[42] + 
       (5*t[43])/3 - (21*t[44])/2 - (202*t[45])/3 - 13*t[46] + 
       (316*t[47])/3 + (19*t[48])/24 - (179*t[49])/24 + (119*t[50])/24 + 
       (905*t[51])/48 + (41*t[52])/24 + (179*t[53])/24 + (109*t[54])/8 + 
       t[56] + (16*t[57])/3 + (8*t[59])/3 + (85*t[60])/4 - (733*t[61])/12 - 
       (527*t[62])/3 - (227*t[63])/3 + (761*t[64])/24 + (3409*t[65])/18 + 
       (4535*t[66])/36 + t[69] + 3*t[72] - 88*t[73] + 14*t[74] + 36*t[75] - 
       (230*t[76])/3 - (19*t[77])/3 + (62*t[78])/3 - 18*t[79] + 
       (263*t[80])/3 + 6*t[81] + (29*t[82])/6 + (27*t[83])/2 + 4*t[84] - 
       (65*t[85])/6 + (499*t[86])/2 - (25*t[87])/3 - (25*t[88])/6 + 
       (355*t[89])/24 + (10*t[97])/3 - 260*t[98] + 420*t[99] - 19*t[100] + 
       4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-8*t[1])/3 - (563*t[2])/24 + (23*t[3])/36 - 
       (665*t[4])/36 + (350*t[5])/9 - (49*t[6])/8 + (1013*t[7])/36 - 
       (518*t[8])/9 - (339*t[9])/8 + (87*t[10])/8 + (313*t[11])/72 - 
       (991*t[12])/36 + (3497*t[13])/144 - (6661*t[14])/144 + 
       (2645*t[15])/144 + 4*t[19] - 4*t[21] + t[22] + 4*t[23] - 5*t[25] - 
       (37*t[26])/3 - (8*t[27])/9 - (200*t[28])/9 - (119*t[29])/18 + 
       (115*t[30])/9 + (32*t[31])/3 - (5*t[32])/3 + (5*t[33])/3 + 
       (4*t[34])/3 + (53*t[35])/3 + 5*t[36] - (13*t[37])/3 + 2*t[38] - 
       (196*t[39])/9 + (28*t[40])/3 + (5*t[41])/6 - (5*t[42])/6 + 
       (11*t[43])/3 + (137*t[44])/18 + (35*t[45])/12 - (55*t[46])/12 - 
       (15*t[47])/2 - (973*t[48])/36 + (215*t[49])/24 + (359*t[50])/36 + 
       (1783*t[51])/144 - (599*t[52])/36 - (239*t[53])/24 - (28*t[54])/3 - 
       (4*t[58])/3 - (31*t[59])/6 - (2041*t[60])/72 + (443*t[61])/24 - 
       (713*t[62])/48 - (5017*t[63])/144 + (7607*t[64])/144 - 
       (20335*t[65])/216 - (247*t[66])/27 + 4*t[69] + (76*t[72])/9 - 
       (85*t[73])/6 - 10*t[74] + 16*t[75] + (22*t[76])/3 + (61*t[78])/3 + 
       8*t[79] + (8*t[80])/3 - (137*t[81])/9 + (43*t[82])/9 + (217*t[83])/9 - 
       (497*t[84])/18 - (70*t[85])/9 + (151*t[86])/12 + (307*t[87])/9 + 
       (307*t[88])/18 - (2161*t[89])/144 + t[91]/6 - (2*t[97])/3 - 20*t[98] + 
       60*t[99] + 5*t[100] + 4*t[102]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*(4*t[1] + (29*t[2])/6 + 
       (397*t[3])/12 - (107*t[4])/4 - (307*t[5])/24 - (707*t[6])/8 - 
       (505*t[7])/12 - (2441*t[8])/12 - (133*t[9])/8 + (1961*t[10])/24 - 
       (943*t[11])/24 + (199*t[12])/4 - (7433*t[13])/216 + (325*t[14])/48 - 
       (4997*t[15])/144 - 2*t[19] + 5*t[21] - t[22] - 5*t[23] + 6*t[25] + 
       (68*t[26])/3 + 16*t[27] + 14*t[28] - t[29]/2 - 6*t[30] + 12*t[31] - 
       (2*t[32])/3 + (2*t[33])/3 - (2*t[34])/3 - 12*t[35] - 10*t[36] - 
       6*t[37] + (73*t[39])/3 - (32*t[40])/3 - (17*t[41])/6 + (19*t[42])/6 + 
       t[43] + 21*t[44] + 14*t[45] + 11*t[46] - (70*t[47])/3 - 
       (1117*t[48])/24 - (499*t[49])/24 + (343*t[50])/24 - (1015*t[51])/48 - 
       (263*t[52])/24 + (547*t[53])/24 - (425*t[54])/24 + (2*t[58])/3 - 
       (4*t[59])/3 - 17*t[60] - (703*t[61])/3 + (53*t[62])/24 + 
       (2675*t[63])/24 - (1643*t[64])/12 + (2075*t[65])/36 + (485*t[66])/9 - 
       7*t[69] - 7*t[72] + 10*t[73] + 12*t[74] - 62*t[75] + (76*t[76])/3 - 
       (4*t[77])/3 - (334*t[78])/3 + 16*t[79] + (113*t[80])/3 + 2*t[81] + 
       (101*t[82])/6 - (21*t[83])/2 + t[84]/4 + (665*t[85])/12 - 
       (75*t[86])/2 - (583*t[87])/12 - (583*t[88])/24 + (131*t[89])/12 - 
       t[91]/3 + (10*t[97])/3 + 388*t[98] - 428*t[99] + 33*t[100] + 
       4*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(2*t[1] + (151*t[2])/6 - 23*t[3] + 
       (1577*t[4])/12 - (275*t[5])/3 + (221*t[6])/8 + (33*t[7])/2 - 
       (106*t[8])/3 + (1795*t[9])/12 + (3683*t[10])/24 + (895*t[11])/8 + 
       (299*t[12])/24 + (2231*t[13])/36 + (28787*t[14])/144 - (161*t[15])/9 + 
       2*t[16] - (10*t[19])/3 - 4*t[21] + 4*t[23] + 11*t[25] + (56*t[26])/3 + 
       13*t[27] + 28*t[28] - t[29]/2 + 10*t[30] + 12*t[31] + 2*t[32] - 
       2*t[33] - (8*t[34])/3 - 2*t[35] + 10*t[36] + (32*t[37])/3 + t[38] + 
       31*t[39] - (55*t[40])/3 - (8*t[41])/3 + (8*t[42])/3 - (11*t[43])/2 + 
       11*t[44] - t[45]/2 + (5*t[46])/3 - t[47] - (415*t[48])/24 + 
       (139*t[49])/8 - (59*t[50])/24 - (1193*t[51])/48 + (379*t[52])/24 - 
       (425*t[53])/24 - (107*t[54])/24 + (8*t[58])/3 + (14*t[59])/3 + 
       (2471*t[60])/12 - (61*t[61])/4 - (2077*t[62])/12 + (817*t[63])/12 - 
       (8957*t[64])/24 - (305*t[65])/18 - (9043*t[66])/36 + 2*t[69] - 
       6*t[72] + 38*t[73] - 54*t[75] + (32*t[76])/3 + 4*t[77] - 
       (166*t[78])/3 - 18*t[79] - 31*t[80] + (95*t[81])/3 - (116*t[82])/3 - 
       80*t[83] + (559*t[84])/12 + (201*t[85])/4 + (19*t[86])/2 - 
       (2249*t[87])/12 - (2249*t[88])/24 + (691*t[89])/24 - t[91]/3 + 
       4*t[93] + (16*t[97])/3 + 388*t[98] - 428*t[99] + 33*t[100] + 
       4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-5*t[1])/2 - (53*t[2])/2 + (85*t[3])/12 + 
       (331*t[4])/24 - (35*t[5])/3 - (313*t[6])/16 + (631*t[7])/12 - 
       (145*t[8])/3 + (593*t[9])/8 - (971*t[10])/16 - (2033*t[11])/48 - 
       (341*t[12])/48 + (431*t[13])/72 - (4625*t[14])/96 - (1823*t[15])/36 - 
       2*t[21] + 2*t[23] - 3*t[25] - 11*t[26] + (8*t[27])/3 - (46*t[28])/3 - 
       (49*t[29])/6 + (19*t[30])/6 + 4*t[31] + (3*t[32])/2 - (3*t[33])/2 + 
       2*t[34] + 22*t[35] + 5*t[36] + 4*t[37] - (32*t[39])/3 - 6*t[40] + 
       t[41] - t[42] - 4*t[43] + (38*t[44])/3 - (55*t[45])/4 - 12*t[46] + 
       (65*t[47])/2 - (209*t[48])/48 + (131*t[49])/16 - (569*t[50])/48 + 
       (901*t[51])/96 + (569*t[52])/48 - (147*t[53])/16 - (319*t[54])/16 - 
       (3*t[59])/2 + (91*t[60])/24 - (741*t[61])/8 - (591*t[62])/16 - 
       (1751*t[63])/48 + (4243*t[64])/48 + (2611*t[65])/72 + (215*t[66])/72 + 
       t[68] + 2*t[69] + (8*t[72])/3 - 5*t[73] - 32*t[74] + 51*t[75] + 
       12*t[76] + (7*t[77])/2 + 43*t[78] + 4*t[79] + t[80]/2 + (17*t[81])/3 + 
       (13*t[82])/6 - (58*t[83])/3 + (119*t[84])/24 + (359*t[85])/24 + 
       (287*t[86])/4 - (245*t[87])/24 - (245*t[88])/48 + (2125*t[89])/48 + 
       t[91]/6 + 16*t[98] - 40*t[99] + 102*t[100] + 4*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-25*t[1])/6 - (7*t[2])/4 - (37*t[3])/2 + (199*t[4])/2 - 
       (423*t[5])/16 + (2275*t[6])/48 - (75*t[7])/4 + (3*t[8])/4 + 
       (2701*t[9])/48 - (104*t[10])/3 + (785*t[11])/16 - (657*t[12])/16 + 
       (2011*t[13])/72 + (1417*t[14])/24 - (4853*t[15])/288 - (2*t[16])/3 + 
       t[17]/3 - (8*t[18])/3 - 2*t[20] + (4*t[21])/3 - 4*t[22] - 
       (4*t[23])/3 + (40*t[24])/3 + (14*t[25])/3 + (2*t[26])/3 - 
       (14*t[27])/3 + 18*t[28] + (9*t[29])/2 - 21*t[30] - 2*t[31] + t[32]/3 + 
       9*t[33] - (17*t[34])/3 + 2*t[35] + (5*t[36])/3 - (16*t[38])/3 + 
       11*t[39] - (19*t[40])/3 + (17*t[41])/6 - (25*t[42])/6 + 
       (47*t[43])/24 - (59*t[44])/12 + (55*t[45])/3 - (7*t[46])/2 - 
       (127*t[47])/3 + (1481*t[48])/48 + (55*t[49])/4 - (875*t[50])/48 - 
       (31*t[51])/3 + (1019*t[52])/48 - (55*t[53])/4 - (119*t[54])/16 - 
       t[56]/3 - 2*t[57] + (2*t[58])/3 + 7*t[59] + (2111*t[60])/24 + 
       (423*t[61])/8 + (753*t[62])/16 + (1199*t[63])/16 - (6467*t[64])/48 - 
       (12845*t[65])/72 - (3605*t[66])/24 + (4*t[67])/3 + 4*t[68] - 6*t[69] + 
       (16*t[70])/3 - (16*t[71])/3 - 6*t[72] + 40*t[73] + (80*t[74])/3 - 
       44*t[75] + (62*t[76])/3 + (8*t[77])/3 - 33*t[78] - 6*t[79] - 
       (20*t[80])/3 + (28*t[81])/3 - (51*t[82])/2 - 87*t[83] + 
       (733*t[84])/24 - (115*t[85])/24 - (193*t[86])/2 - (1709*t[87])/24 - 
       (1709*t[88])/48 - (321*t[89])/16 - t[91]/6 + (4*t[92])/3 - 
       (4*t[94])/3 - t[97] + 136*t[98] - 92*t[99] - 424*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-17*t[1])/3 - (9*t[2])/4 - (623*t[3])/24 + (721*t[4])/12 - 
       (115*t[5])/16 + (1951*t[6])/48 + (545*t[7])/8 + (341*t[8])/8 + 
       (1253*t[9])/16 - (521*t[10])/8 + (6157*t[11])/48 + (37*t[12])/48 + 
       (23903*t[13])/432 + (3077*t[14])/36 + (1279*t[15])/288 + (5*t[16])/3 + 
       8*t[25] + (2*t[26])/3 - (14*t[27])/3 + 10*t[28] + t[29] - 15*t[30] - 
       4*t[31] + t[32] - t[33] - t[34] + 8*t[35] + t[36]/3 - (23*t[38])/3 + 
       (23*t[39])/3 - (23*t[40])/6 + t[41]/2 - t[42]/2 + (29*t[43])/4 - 
       (15*t[44])/2 - (71*t[45])/6 - (38*t[46])/3 + (74*t[47])/3 + 
       (1351*t[48])/48 - (73*t[49])/12 - (245*t[50])/48 + (7*t[51])/6 + 
       (119*t[52])/16 - (83*t[53])/12 - (325*t[54])/16 + t[58] + 5*t[59] + 
       (2513*t[60])/24 + (4189*t[61])/24 - (1973*t[62])/16 - 
       (3881*t[63])/48 - (1811*t[64])/48 - (377*t[65])/72 - (3557*t[66])/24 + 
       (22*t[68])/3 + (8*t[70])/3 - (8*t[71])/3 - 6*t[72] + 44*t[73] + 
       4*t[74] - 48*t[75] - 3*t[76] + (5*t[77])/3 + (8*t[78])/3 + 7*t[79] + 
       50*t[80] + 2*t[81] - 21*t[82] - 54*t[83] + (1277*t[84])/24 - 
       (11*t[85])/24 + (221*t[86])/3 - (1279*t[87])/24 - (165*t[88])/16 + 
       (1487*t[89])/48 - (20*t[95])/3 - (8*t[96])/3 + t[97]/3 + 136*t[98] - 
       92*t[99] - 424*t[100] + 6*t[102]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-19*t[1])/6 - (27*t[2])/2 + (93*t[3])/8 + 
       (1603*t[4])/12 + (373*t[5])/16 + (325*t[6])/12 + (455*t[7])/8 - 
       (499*t[8])/8 + (1303*t[9])/16 - (437*t[10])/8 + (235*t[11])/2 - 
       (673*t[12])/16 + (6391*t[13])/144 + (449*t[14])/16 - 
       (15607*t[15])/288 - (11*t[19])/9 + (5*t[26])/3 + 3*t[27] - 3*t[28] - 
       6*t[29] - 6*t[30] - 3*t[31] - (29*t[36])/3 + t[37]/12 - (5*t[38])/3 + 
       3*t[39] - 3*t[40] + (15*t[43])/4 + 12*t[44] - (27*t[45])/2 - 
       (25*t[46])/4 + 27*t[47] + (11*t[48])/8 + (101*t[49])/6 - 
       (85*t[50])/8 - (203*t[51])/12 + (85*t[52])/8 - (317*t[53])/12 - 
       (1843*t[54])/24 - (2*t[59])/3 + (5921*t[60])/48 - (367*t[61])/16 - 
       (2299*t[62])/48 - (6953*t[63])/48 - (14501*t[64])/96 - 
       (5441*t[65])/72 - (15805*t[66])/144 + 3*t[69] - 12*t[73] + 
       (29*t[74])/3 - 6*t[75] + (68*t[76])/3 + (9*t[77])/2 - 32*t[78] + 
       9*t[79] + 33*t[80] - (37*t[81])/6 - (7*t[82])/6 - 53*t[83] + 
       (239*t[84])/48 + (1103*t[85])/48 + 7*t[86] - (2477*t[87])/48 - 
       (2477*t[88])/96 + (5437*t[89])/96 - (40*t[95])/3 + 204*t[98] - 
       168*t[99] - (375*t[100])/2 + 6*t[102]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u]*((-2*t[1])/3 + 4*t[2] - 
       (1037*t[3])/48 + (569*t[4])/24 - (6887*t[5])/96 - (353*t[6])/24 + 
       (3359*t[7])/48 - (727*t[8])/48 + (9023*t[9])/96 + (97*t[10])/16 + 
       (311*t[11])/16 + (493*t[12])/32 + (15293*t[13])/432 + 
       (2257*t[14])/288 - (12229*t[15])/576 - (2*t[18])/3 + 3*t[19] - 
       3*t[21] + (11*t[22])/3 + 3*t[23] - t[24] + 3*t[29] + 3*t[30] + 
       8*t[31] + (8*t[32])/3 + (2*t[34])/3 + 12*t[35] - 9*t[37] + 
       (11*t[41])/4 - (37*t[42])/12 - (229*t[43])/24 + 9*t[44] - 
       (77*t[45])/6 - (8*t[46])/3 + (68*t[47])/3 - 30*t[48] - (67*t[49])/8 + 
       13*t[50] - (29*t[51])/16 - 13*t[52] + (67*t[53])/8 - (5*t[54])/4 - 
       (31*t[59])/3 + (2165*t[60])/24 - (217*t[61])/24 - (6215*t[62])/48 - 
       (1651*t[63])/16 - (4079*t[64])/48 - (155*t[65])/8 - (8713*t[66])/72 + 
       6*t[69] + 6*t[73] + (13*t[74])/3 - 33*t[75] + 12*t[76] - (3*t[77])/2 - 
       27*t[78] - 15*t[79] + (32*t[80])/3 - (29*t[81])/3 - (26*t[82])/3 + 
       38*t[83] - (25*t[84])/2 + 31*t[85] + 74*t[86] - 20*t[87] - 10*t[88] + 
       (1441*t[89])/48 + 204*t[98] - 168*t[99] - 165*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((37*t[1])/3 - (89*t[2])/12 + (111*t[3])/8 + (827*t[4])/12 - 
       (37*t[5])/48 - (547*t[6])/48 + (203*t[7])/24 - (853*t[8])/24 + 
       (421*t[9])/16 + (983*t[10])/24 + (1493*t[11])/16 - (19*t[12])/48 + 
       (1871*t[13])/48 - (847*t[14])/72 - (6377*t[15])/288 + t[16]/3 - 
       (28*t[25])/3 + 2*t[26] + (16*t[27])/3 + (10*t[28])/3 - (13*t[29])/3 + 
       (19*t[30])/3 - (58*t[31])/3 - t[32] + t[33] - t[34]/3 - 28*t[35] + 
       (23*t[36])/3 - 8*t[37] + (23*t[38])/3 - 3*t[39] - (35*t[40])/6 + 
       t[41]/6 - t[42]/6 - (29*t[43])/12 - (13*t[44])/6 - (47*t[45])/6 - 
       (7*t[46])/3 + (44*t[47])/3 + (17*t[48])/48 - (13*t[49])/6 + 
       (493*t[50])/48 + (33*t[51])/4 - (349*t[52])/48 + (13*t[53])/2 - 
       (739*t[54])/16 + t[58]/3 + (10*t[59])/3 - (53*t[60])/24 - 
       (2689*t[61])/24 - (3601*t[62])/48 - (6823*t[63])/48 + (71*t[64])/48 - 
       (3995*t[65])/72 - (7133*t[66])/72 + 4*t[68] - (4*t[70])/3 + 
       (4*t[71])/3 + 4*t[72] + 32*t[73] - 10*t[74] - 64*t[75] + 27*t[76] + 
       (5*t[77])/3 - (224*t[78])/3 + 41*t[79] + (50*t[80])/3 - 5*t[81] - 
       (20*t[82])/3 - 33*t[83] - (37*t[84])/24 + (125*t[85])/8 + 57*t[86] - 
       (853*t[87])/24 - (311*t[88])/16 + (1633*t[89])/48 - (8*t[95])/3 + 
       (4*t[96])/3 - t[97] + 312*t[98] - 340*t[99] - 143*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*((17*t[1])/4 - 7*t[2] - 
       (211*t[3])/8 - (225*t[4])/8 + (123*t[5])/16 + 45*t[6] + (91*t[7])/2 + 
       (27*t[8])/4 + (1291*t[9])/16 - (625*t[10])/16 + (381*t[11])/8 + 
       (59*t[12])/4 - (523*t[13])/72 + (3497*t[14])/96 + (87*t[15])/32 + 
       (3*t[16])/2 + 6*t[18] + 2*t[21] - 3*t[23] + 2*t[24] - 14*t[25] - 
       6*t[26] - 16*t[27] - 8*t[28] + 4*t[29] + 2*t[30] + 2*t[31] + 
       (41*t[34])/2 - 4*t[35] + 2*t[36] - 10*t[37] + 3*t[38] - 6*t[39] - 
       (11*t[40])/2 - t[41]/4 + (25*t[42])/4 - (51*t[43])/8 - 2*t[44] - 
       (55*t[45])/4 - 12*t[46] + (49*t[47])/2 + 7*t[48] + (281*t[49])/16 + 
       20*t[50] + (205*t[51])/32 - (21*t[52])/2 - (265*t[53])/16 - 
       (173*t[54])/8 + 2*t[58] - 16*t[59] + (745*t[60])/8 + (411*t[61])/8 - 
       (1247*t[62])/16 + (1511*t[63])/16 - (861*t[64])/16 + (257*t[65])/8 + 
       (1183*t[66])/24 - (5*t[68])/2 - 6*t[70] + 6*t[71] + 4*t[72] - 
       68*t[73] - 2*t[74] + 72*t[75] - (9*t[76])/2 - 7*t[77] + 13*t[78] + 
       4*t[79] + 55*t[80] - (3*t[81])/2 + 18*t[82] - 28*t[83] - 
       (27*t[84])/8 - (95*t[85])/8 - (329*t[87])/8 - (329*t[88])/16 - 
       (395*t[89])/16 - t[90]/2 + t[91]/6 + 3*t[97] + 48*t[98] + 12*t[99] - 
       123*t[100] + 6*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 
       1 - w]*((57*t[1])/4 - 3*t[2] + (29*t[3])/2 - (93*t[4])/2 + 43*t[5] - 
       (21*t[6])/4 + (351*t[7])/4 + 61*t[8] + 22*t[9] - (1091*t[10])/8 + 
       (155*t[11])/4 - (95*t[12])/8 - (413*t[13])/72 - (41*t[14])/24 - 
       (177*t[15])/8 - t[16] - 3*t[19] - 8*t[25] - 21*t[26] - 8*t[27] - 
       6*t[28] - 2*t[29] + 8*t[31] + t[32] - t[33] - (9*t[34])/2 + 12*t[35] + 
       7*t[37] + (33*t[38])/2 - (5*t[39])/2 + t[40] + (9*t[41])/4 - 
       (9*t[42])/4 - 8*t[43] - (23*t[45])/4 - 9*t[46] + (25*t[47])/2 + 
       16*t[48] + (225*t[49])/8 - 9*t[50] - (3*t[51])/2 + (23*t[52])/2 - 
       (61*t[53])/8 + 12*t[54] - t[58] - (37*t[59])/4 + (5*t[60])/4 - 
       (51*t[61])/2 - (723*t[62])/4 - (497*t[63])/4 + (225*t[64])/4 - 
       2*t[65] - (517*t[66])/12 + (9*t[68])/2 - 4*t[70] + 4*t[71] + 
       16*t[72] - 58*t[73] + 3*t[74] + 62*t[75] + (9*t[76])/2 + t[77] - 
       (11*t[78])/2 - 20*t[79] + 5*t[80] - 6*t[81] + 13*t[82] - 10*t[83] - 
       24*t[84] - (71*t[85])/2 + (343*t[86])/2 + (5*t[87])/2 - (55*t[88])/4 - 
       (23*t[89])/2 - t[90]/2 + t[91]/6 + 2*t[95] + 15*t[96] + (11*t[97])/2 + 
       48*t[98] + 12*t[99] - 123*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-5*t[1])/2 + (43*t[2])/4 + (179*t[3])/8 - (69*t[4])/8 + 
       (429*t[5])/16 - 32*t[6] - (139*t[7])/8 + (191*t[8])/8 - 
       (1129*t[9])/16 + (15*t[10])/16 - 28*t[11] - (25*t[12])/2 + 
       (419*t[13])/144 - (2461*t[14])/32 + (5171*t[15])/288 + 18*t[27] - 
       20*t[28] - 14*t[29] + 16*t[30] - 2*t[31] - t[32] + t[33] + 10*t[34] + 
       8*t[35] - t[36] - t[38] + 2*t[39] - t[41] + t[42] - (33*t[43])/4 - 
       10*t[44] + (39*t[45])/2 + (15*t[46])/2 - 40*t[47] - (43*t[48])/8 - 
       (57*t[49])/16 - (55*t[50])/8 - (31*t[51])/32 + (71*t[52])/8 - 
       (7*t[53])/16 - (113*t[54])/4 - 6*t[59] - (775*t[60])/8 - 
       (849*t[61])/8 - (235*t[62])/16 - (749*t[63])/16 + (855*t[64])/16 + 
       (583*t[65])/8 + (185*t[66])/8 - 4*t[68] + 7*t[72] - 48*t[73] + 
       52*t[75] - (47*t[76])/2 + t[77] + 44*t[78] - 4*t[79] - 58*t[80] - 
       (45*t[81])/2 + (45*t[82])/2 + 26*t[83] - (169*t[84])/8 - 
       (43*t[85])/8 + 56*t[86] + (623*t[87])/8 + (623*t[88])/16 + 
       (391*t[89])/16 - 4*t[96] - 4*t[97] - 276*t[98] + 528*t[99] - 
       83*t[100] + 6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(t[1]/2 - t[2]/4 + (109*t[3])/4 + (83*t[4])/2 + 
       (99*t[5])/2 + (695*t[6])/8 + (329*t[7])/8 + (607*t[8])/8 - 
       (301*t[9])/8 + (171*t[10])/8 + 11*t[11] - 8*t[12] + (83*t[13])/16 + 
       (45*t[14])/8 + (9625*t[15])/144 - (3*t[17])/2 + (4*t[19])/3 + 
       26*t[20] - 2*t[21] - 6*t[22] + 2*t[23] - 5*t[24] - 2*t[27] - 8*t[28] + 
       t[29] + 19*t[30] - 2*t[32] + 7*t[33] - 18*t[34] + t[36] - 10*t[37] + 
       2*t[38] - 9*t[39] - 3*t[40] - 6*t[41] + 5*t[42] - (33*t[43])/8 + 
       12*t[44] - 8*t[45] - (7*t[46])/2 - 8*t[47] + (121*t[48])/4 + 7*t[49] + 
       (109*t[50])/4 + (59*t[51])/8 - (113*t[52])/4 - 7*t[53] + 
       (39*t[54])/4 + 2*t[57] + (13*t[59])/2 - (71*t[60])/4 + (573*t[61])/4 + 
       83*t[62] + 30*t[63] - (3075*t[64])/8 + (995*t[65])/12 + 
       (2791*t[66])/12 + (9*t[68])/2 + 16*t[69] - 2*t[72] - 70*t[73] - 
       22*t[74] + 74*t[75] - (131*t[76])/2 + (23*t[77])/2 + 83*t[78] + 
       4*t[79] - 38*t[80] - (45*t[81])/2 - t[82]/2 - 28*t[83] - 
       (33*t[84])/4 - 49*t[85] - (195*t[86])/2 + (11*t[87])/2 + 
       (11*t[88])/4 + (183*t[89])/4 + (3*t[90])/2 + t[91]/6 + 2*t[93] - 
       t[97] - 276*t[98] + 528*t[99] - 83*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((9*t[1])/2 - (37*t[2])/2 + (157*t[3])/8 + (395*t[4])/8 + 
       (177*t[5])/16 + (185*t[6])/8 + (87*t[7])/8 - (697*t[8])/8 - 
       (149*t[9])/16 - (1283*t[10])/16 + (105*t[11])/8 - (187*t[12])/8 + 
       (877*t[13])/144 - (4199*t[14])/96 - (2027*t[15])/96 + t[16]/2 + 
       4*t[19] - 4*t[21] + 4*t[23] - t[25] - 11*t[26] - 2*t[27] - 8*t[28] - 
       (11*t[29])/2 + t[30] - 6*t[31] + t[32] - t[33] + 8*t[35] + 6*t[36] + 
       8*t[37] - 2*t[38] - 12*t[39] + 4*t[40] - 3*t[41] + 3*t[42] + 
       (7*t[43])/4 - (7*t[44])/2 - 12*t[45] - (13*t[46])/2 + 17*t[47] + 
       (19*t[48])/4 + (117*t[49])/16 + (15*t[50])/4 + (329*t[51])/32 - 
       (15*t[52])/4 - (133*t[53])/16 - (7*t[54])/8 + 12*t[59] + 
       (213*t[60])/8 + (427*t[61])/8 - (509*t[62])/16 - (315*t[63])/16 - 
       (1413*t[64])/16 + (79*t[65])/8 - (631*t[66])/8 - t[68]/2 + 16*t[69] + 
       8*t[72] - 38*t[73] - 8*t[74] + 28*t[75] - 35*t[76] + 4*t[77] + 
       38*t[78] + 6*t[79] - 12*t[80] - 5*t[81] - 3*t[82] + (15*t[84])/8 - 
       (201*t[85])/8 + 7*t[86] + (49*t[87])/8 + (49*t[88])/16 - 
       (7*t[89])/16 - t[90]/2 + t[91]/6 - 180*t[98] + 320*t[99] - 67*t[100] + 
       6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-49*t[1])/2 - (27*t[2])/4 + t[3] - 
       (97*t[4])/4 + (479*t[5])/8 + (115*t[6])/4 - (19*t[7])/4 + 
       (169*t[8])/2 - (165*t[9])/8 + (105*t[10])/8 - (81*t[11])/4 + 
       38*t[12] - (209*t[13])/8 - (621*t[14])/16 + (1247*t[15])/48 - t[16] + 
       2*t[25] + 11*t[26] - 6*t[27] - 18*t[28] + (15*t[29])/2 + 5*t[30] - 
       10*t[31] - t[32] + t[33] - 16*t[35] + t[36] - 26*t[38] - 17*t[39] + 
       4*t[40] + (7*t[43])/2 - (23*t[44])/2 + (3*t[45])/4 + (15*t[46])/2 - 
       (5*t[47])/2 + 25*t[48] - (109*t[49])/8 - (179*t[51])/16 + 
       (93*t[53])/8 + (15*t[54])/4 + 14*t[59] - (331*t[60])/4 + 
       (153*t[61])/4 + (29*t[62])/2 - 24*t[63] - (1025*t[64])/8 + 
       (357*t[65])/4 + (759*t[66])/4 + (9*t[68])/2 + 12*t[69] + 4*t[72] - 
       60*t[73] - 10*t[74] + 58*t[75] - (81*t[76])/2 - t[77]/2 + 38*t[78] + 
       30*t[79] + 22*t[80] - (41*t[81])/2 + (49*t[82])/2 - 2*t[83] - 
       (59*t[84])/4 - (63*t[85])/2 + (43*t[86])/2 + 62*t[87] + 35*t[88] + 
       (47*t[89])/2 - t[90]/2 + t[91]/6 - 4*t[95] - 180*t[98] + 320*t[99] - 
       67*t[100] + 6*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-41*t[1])/4 + (45*t[2])/4 - (277*t[3])/8 - 
       (153*t[4])/8 + (187*t[5])/16 + (481*t[6])/8 - (71*t[7])/4 + 
       (189*t[8])/2 + (659*t[9])/16 + (2663*t[10])/16 - (381*t[11])/4 - 
       16*t[12] - (881*t[13])/18 + (783*t[14])/32 + (3065*t[15])/96 + 
       (3*t[16])/2 - 6*t[18] - 10*t[21] - 4*t[22] + 11*t[23] - 10*t[24] - 
       8*t[25] - (7*t[26])/2 - 4*t[28] + 4*t[29] + 2*t[30] - 2*t[31] + 
       2*t[32] - 2*t[33] - (9*t[34])/2 - 4*t[35] + 10*t[36] + 2*t[37] - 
       4*t[38] - 6*t[39] - 5*t[40] + (5*t[41])/4 - (13*t[42])/4 + 
       (91*t[43])/8 - 2*t[44] + (19*t[45])/4 - 5*t[46] - (57*t[47])/2 + 
       (145*t[48])/8 - (19*t[49])/16 - (15*t[50])/8 + (277*t[51])/32 + 
       (67*t[52])/8 + (3*t[53])/16 + (21*t[54])/4 - (3*t[58])/2 - 
       (11*t[59])/4 + (39*t[60])/8 - (583*t[61])/8 - (157*t[62])/16 - 
       (475*t[63])/16 - (3783*t[64])/16 - (563*t[65])/24 + (3709*t[66])/24 + 
       (3*t[68])/2 + 4*t[69] + 14*t[70] - 14*t[71] + 18*t[72] - 50*t[73] - 
       2*t[74] + 52*t[75] - (75*t[76])/2 - t[77] + (81*t[78])/2 - 12*t[79] - 
       20*t[80] - 11*t[81] - (17*t[82])/2 - 16*t[83] + (31*t[84])/8 - 
       (169*t[85])/8 + 54*t[86] - (31*t[87])/8 - (31*t[88])/16 - 
       (57*t[89])/16 - t[90]/2 + t[91]/6 + 2*t[93] - t[97]/2 - 204*t[98] + 
       312*t[99] + 43*t[100] + 6*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((29*t[1])/4 - 10*t[2] + t[3]/2 + 
       (95*t[4])/2 + 56*t[5] + (145*t[6])/8 + (29*t[7])/4 + (101*t[8])/2 + 
       t[9]/4 - (631*t[10])/8 + (159*t[11])/8 - (139*t[12])/8 + 
       (1571*t[13])/72 - (841*t[14])/24 + (7*t[15])/4 + 12*t[25] - 
       (63*t[26])/2 - 2*t[27] - 2*t[28] + 2*t[29] + 4*t[30] - t[32] + t[33] - 
       t[34]/2 - 4*t[35] - 2*t[36] - 11*t[37] + 7*t[38] - 13*t[39] - 
       2*t[40] + t[41]/4 - t[42]/4 - t[43]/2 - 8*t[44] - (13*t[45])/4 - 
       (19*t[46])/2 + (11*t[47])/2 + (145*t[48])/8 - (95*t[49])/8 - 
       (143*t[50])/8 + (185*t[51])/8 + (99*t[52])/8 - (9*t[53])/8 - 
       (237*t[54])/8 + t[58]/2 - (27*t[59])/4 + (193*t[60])/2 - 
       (173*t[61])/4 - (499*t[62])/8 - (1121*t[63])/8 - (1253*t[64])/8 + 
       (19*t[65])/4 - (142*t[66])/3 + (9*t[68])/2 + 4*t[69] + 4*t[70] - 
       4*t[71] + 20*t[72] - 62*t[73] - 7*t[74] + 70*t[75] - (73*t[76])/2 + 
       6*t[77] + (51*t[78])/2 + 4*t[79] - 7*t[80] - 12*t[81] + (37*t[82])/2 - 
       28*t[83] + (15*t[84])/4 - (47*t[85])/4 + t[86]/2 + (27*t[87])/4 + 
       (179*t[88])/8 + (83*t[89])/8 - t[90]/2 + t[91]/6 + 2*t[93] - 
       10*t[95] - 4*t[96] + (7*t[97])/2 - 204*t[98] + 312*t[99] + 43*t[100] + 
       6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-4*t[1] - (121*t[2])/4 + (803*t[3])/24 + 
       (271*t[4])/6 - (151*t[5])/8 + (19*t[6])/48 - (487*t[7])/24 - 
       (761*t[8])/24 + (763*t[9])/24 + (545*t[10])/8 - (1147*t[11])/16 - 
       (183*t[12])/8 + (10471*t[13])/432 - (2863*t[14])/48 - 
       (3007*t[15])/72 + (2*t[16])/3 + t[17] + (4*t[18])/3 + 2*t[19] - 
       2*t[20] - (14*t[21])/3 + (22*t[22])/3 + (14*t[23])/3 + 8*t[24] - 
       (10*t[25])/3 + (2*t[26])/3 + (8*t[27])/3 - (2*t[28])/3 + 
       (25*t[29])/6 - (35*t[30])/3 + 16*t[31] + (25*t[32])/3 - t[33]/3 - 
       5*t[34] + 36*t[35] + (7*t[36])/3 - 10*t[37] + (10*t[38])/3 + 5*t[39] - 
       9*t[40] - (5*t[41])/6 + (3*t[42])/2 - (539*t[43])/24 + 
       (203*t[44])/12 + (67*t[45])/3 - (13*t[46])/6 - (77*t[47])/3 - 
       (71*t[48])/16 + (21*t[49])/2 + (271*t[50])/48 - (125*t[51])/24 - 
       (191*t[52])/48 - (21*t[53])/2 - (1703*t[54])/48 - t[56] + 2*t[57] + 
       (2*t[58])/3 - (35*t[59])/2 - (381*t[60])/8 - (6721*t[61])/24 + 
       (3713*t[62])/48 - (3361*t[63])/48 - (6101*t[64])/48 + (389*t[65])/24 + 
       (2197*t[66])/72 - (2*t[67])/3 - 2*t[68] - 8*t[69] - (8*t[70])/3 + 
       (8*t[71])/3 + 8*t[72] + 40*t[73] - (4*t[74])/3 - 60*t[75] + 
       (124*t[76])/3 + (23*t[77])/3 - (185*t[78])/3 + 2*t[79] - 
       (67*t[80])/3 - (35*t[81])/3 + 16*t[82] - 32*t[83] + (19*t[84])/24 + 
       (823*t[85])/24 - (105*t[86])/2 - (125*t[87])/8 - (125*t[88])/16 + 
       (1005*t[89])/16 - t[91]/6 - (2*t[92])/3 + 2*t[93] + (2*t[94])/3 - 
       t[97]/3 + 252*t[98] - 280*t[99] + 52*t[100] + 6*t[102]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-25*t[1])/6 - (79*t[2])/12 + (237*t[3])/16 + (511*t[4])/24 - 
       (2959*t[5])/96 + (337*t[6])/24 + (1181*t[7])/48 - (4153*t[8])/48 + 
       (5611*t[9])/96 - (47*t[10])/3 - (281*t[11])/3 + (185*t[12])/96 - 
       (33365*t[13])/864 - (2929*t[14])/48 - (9479*t[15])/192 + t[16]/2 - 
       6*t[18] - 2*t[19] - 6*t[21] + 8*t[22] + 6*t[23] - 8*t[24] - 5*t[25] - 
       (16*t[26])/3 + (20*t[27])/3 - (40*t[28])/3 - (20*t[29])/3 - 
       (31*t[30])/3 + 10*t[31] + (13*t[32])/3 - (13*t[33])/3 - (17*t[34])/3 + 
       26*t[35] + 2*t[36] + 6*t[37] - 4*t[38] - (23*t[39])/6 - (91*t[40])/6 - 
       (7*t[41])/6 - (5*t[42])/6 + (91*t[43])/24 + (41*t[44])/3 - 
       (139*t[45])/12 - 9*t[46] + (23*t[47])/2 - (427*t[48])/48 + 
       (343*t[49])/48 - (17*t[50])/16 + (695*t[51])/96 + (643*t[52])/48 - 
       (391*t[53])/48 - (1399*t[54])/48 - t[58]/3 + 8*t[59] - (385*t[60])/6 - 
       (664*t[61])/3 + (10*t[62])/3 - (673*t[63])/6 - (615*t[64])/4 - 
       (2081*t[65])/72 + (1781*t[66])/72 + (3*t[68])/2 + 8*t[69] + 8*t[70] - 
       8*t[71] + 9*t[72] - 38*t[73] - 24*t[74] + 24*t[75] - (98*t[76])/3 + 
       (43*t[77])/2 + (17*t[78])/3 - 2*t[79] - (347*t[80])/6 - 10*t[81] + 
       (49*t[82])/4 + 23*t[83] - (59*t[84])/4 + (377*t[85])/12 + 
       (167*t[86])/2 + (77*t[87])/3 + (77*t[88])/6 + (137*t[89])/8 - 
       t[90]/2 + t[91]/6 - (5*t[97])/3 - 122*t[98] + 102*t[99] + 147*t[100] + 
       6*t[102]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-9*t[1] + (7*t[2])/6 - (113*t[3])/24 - 
       (2605*t[4])/48 + (1637*t[5])/24 + (677*t[6])/16 + (41*t[7])/2 + 
       (1531*t[8])/12 - (293*t[9])/6 - (1715*t[10])/32 - (553*t[11])/48 + 
       (1189*t[12])/32 + (7555*t[13])/144 - (17783*t[14])/576 + 
       (877*t[15])/32 - 2*t[16] - (8*t[25])/3 + t[26]/3 - t[27]/3 - 
       (40*t[28])/3 + (17*t[29])/6 - (43*t[30])/3 - (23*t[31])/3 - t[32] + 
       t[33] - (8*t[34])/3 + 6*t[35] + 8*t[36] - 10*t[37] - 11*t[38] - 
       (67*t[39])/6 - (47*t[40])/6 + (5*t[41])/6 - (5*t[42])/6 + 
       (32*t[43])/3 + (5*t[44])/3 - (37*t[45])/4 - t[46]/12 + (35*t[47])/2 + 
       (639*t[48])/16 - (1529*t[49])/32 - (377*t[50])/16 + (3643*t[51])/192 + 
       (1147*t[52])/48 + (1033*t[53])/32 + (79*t[54])/4 + (5*t[58])/3 + 
       (17*t[59])/3 - (2621*t[60])/48 - (299*t[61])/16 + (911*t[62])/96 - 
       (7557*t[63])/32 - (7457*t[64])/96 + (22441*t[65])/144 + 
       (3769*t[66])/48 + (13*t[68])/2 + 6*t[69] + 2*t[70] - 2*t[71] + 
       17*t[72] - 66*t[73] - 17*t[74] + 86*t[75] - (283*t[76])/6 + 
       (23*t[77])/6 + (173*t[78])/3 - 19*t[79] + 60*t[80] - (149*t[81])/6 + 
       (58*t[82])/3 - 51*t[83] + (353*t[84])/48 - (1463*t[85])/48 + 
       (199*t[86])/6 + (1443*t[87])/16 + (2083*t[88])/32 + (5989*t[89])/96 - 
       t[90]/2 + t[91]/6 - 8*t[95] - 4*t[96] + (7*t[97])/3 - 122*t[98] + 
       102*t[99] + 147*t[100] + 6*t[102]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-479*t[1])/72 - 
       (553*t[2])/36 + (10991*t[3])/288 - (8957*t[4])/288 + 
       (59089*t[5])/576 - (23359*t[6])/288 + (2165*t[7])/288 - 
       (11003*t[8])/96 - (69001*t[9])/576 + (25961*t[10])/576 - 
       (2345*t[11])/96 - (13265*t[12])/288 - (185225*t[13])/5184 - 
       (253973*t[14])/3456 + (132065*t[15])/3456 - 2*t[16] + (2*t[19])/3 - 
       (58*t[25])/9 - (157*t[26])/12 - (19*t[27])/9 - (196*t[28])/9 - 
       (133*t[29])/18 + (86*t[30])/9 + (50*t[31])/9 - (49*t[32])/9 + 
       (43*t[33])/9 + (40*t[34])/9 + (14*t[35])/3 - (7*t[36])/2 + 
       (8*t[37])/3 + (13*t[38])/12 - (79*t[39])/3 + (64*t[40])/3 - 
       (31*t[41])/18 + (31*t[42])/18 + (539*t[43])/144 + (115*t[44])/18 + 
       (145*t[45])/9 - (409*t[46])/72 - 40*t[47] - (1571*t[48])/36 + 
       (13385*t[49])/576 + (127*t[50])/12 + (59*t[51])/1152 - 
       (1445*t[52])/36 - (16193*t[53])/576 - (15643*t[54])/288 - 
       (43*t[58])/9 + (31*t[59])/9 - (14119*t[60])/288 - (18691*t[61])/288 - 
       (10571*t[62])/576 + (99419*t[63])/576 - (102335*t[64])/576 + 
       (27055*t[65])/288 + (262519*t[66])/864 + (5*t[68])/3 - (11*t[69])/3 + 
       (8*t[70])/3 - 3*t[71] - 4*t[72] - (367*t[73])/6 + (31*t[74])/6 + 
       (93*t[75])/2 + (136*t[76])/9 + (389*t[77])/36 - (58*t[78])/9 - 
       (71*t[79])/6 + (149*t[80])/18 - (349*t[81])/18 + (629*t[82])/36 + 
       21*t[83] - (8485*t[84])/288 + (407*t[85])/32 + (484*t[86])/9 + 
       (1691*t[87])/288 + (9371*t[88])/576 - (14597*t[89])/576 + t[90]/3 + 
       t[91]/6 - 2*t[93] - (16*t[95])/3 - (8*t[96])/3 + (70*t[97])/9 + 
       (382*t[98])/3 - (298*t[99])/3 + t[100]/6 - 4*t[101] + 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((43*t[1])/6 - (49*t[2])/12 - (349*t[3])/24 - (919*t[4])/24 + 
       (5191*t[5])/48 + (517*t[6])/24 + (273*t[7])/8 + (2147*t[8])/24 - 
       (3347*t[9])/48 + (515*t[10])/48 + (1235*t[11])/24 - (1625*t[12])/24 - 
       (12949*t[13])/432 - (1817*t[14])/288 + (15791*t[15])/288 - 12*t[26] - 
       6*t[27] - 6*t[28] + 12*t[30] - 16*t[31] - 3*t[32] + (11*t[33])/3 + 
       t[34]/3 - 20*t[35] - 3*t[36] + (4*t[37])/3 - 3*t[38] - (29*t[39])/3 + 
       (13*t[40])/3 - t[41]/6 + t[42]/6 + (65*t[43])/4 - 6*t[44] + 
       (211*t[45])/12 + (41*t[46])/6 - (227*t[47])/6 + (38*t[48])/3 + 
       (317*t[49])/16 - t[50]/3 - (1393*t[51])/96 - 2*t[52] - 
       (1127*t[53])/48 - (667*t[54])/24 - (2*t[58])/3 + (125*t[59])/9 + 
       (1541*t[60])/24 + (1739*t[61])/24 - (2815*t[62])/48 + 
       (2495*t[63])/48 - (1679*t[64])/16 - (739*t[65])/72 + (6731*t[66])/72 - 
       (7*t[68])/3 + 8*t[69] - 8*t[72] - 58*t[73] + 56*t[75] - (76*t[76])/3 + 
       9*t[77] + (86*t[78])/3 - 8*t[79] - (92*t[80])/3 + 4*t[81] - 
       (31*t[82])/6 - 36*t[83] - (365*t[84])/24 - (505*t[85])/24 - 
       (9*t[86])/2 + (187*t[87])/8 + (545*t[88])/48 + (839*t[89])/48 + 
       t[90]/3 + t[91]/6 - 2*t[93] + t[97] - 56*t[98] + 116*t[99] - 
       24*t[100] + 4*t[101] + 6*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-98*t[1])/9 - (55*t[2])/12 + (467*t[3])/12 - 
       (1865*t[4])/24 + (371*t[5])/12 + (119*t[6])/6 + (134*t[7])/3 - 
       (439*t[8])/12 - (19*t[9])/6 - (7093*t[10])/48 - (297*t[11])/4 + 
       (515*t[12])/48 - (3683*t[13])/72 - (12275*t[14])/96 - 
       (1855*t[15])/144 - (7*t[16])/3 - 10*t[25] - (8*t[26])/3 - 14*t[27] - 
       12*t[28] + 2*t[29] + 16*t[31] + (5*t[32])/3 - t[33] + t[34]/3 + 
       20*t[35] + (19*t[36])/3 + 10*t[37] - (5*t[38])/3 - 9*t[39] - t[40]/3 - 
       t[41]/6 + t[42]/6 - (17*t[43])/6 + 2*t[44] - (5*t[45])/12 - 
       (35*t[46])/6 + (17*t[47])/6 - (37*t[48])/6 - (443*t[49])/48 + 
       (7*t[50])/2 + (455*t[51])/32 - (35*t[52])/6 + (153*t[53])/16 - 
       (31*t[54])/8 - (2*t[58])/3 - (137*t[59])/18 - (735*t[60])/8 - 
       (5027*t[61])/24 + (917*t[62])/16 - (335*t[63])/48 + (1667*t[64])/16 + 
       (909*t[65])/8 + (21319*t[66])/72 + (13*t[68])/3 - 2*t[69] - 14*t[72] - 
       50*t[73] + 4*t[74] + 44*t[75] - 18*t[76] - 8*t[77] + 14*t[78] - 
       6*t[79] + (7*t[80])/3 - 17*t[81] + (20*t[82])/3 + 5*t[83] - 
       (799*t[84])/24 - (127*t[85])/24 + (219*t[86])/2 + (1567*t[87])/24 + 
       (1567*t[88])/48 + (795*t[89])/16 + t[90]/3 + t[91]/6 - 2*t[93] + 
       t[97] - 116*t[98] + 176*t[99] + 171*t[100] + 4*t[101] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-11*t[1])/3 + (35*t[2])/6 + (143*t[3])/12 + (353*t[4])/6 + 
       (885*t[5])/8 + (215*t[6])/4 - (159*t[7])/4 + (1021*t[8])/12 - 
       (1893*t[9])/8 + (99*t[10])/2 + (425*t[11])/4 + (775*t[12])/24 + 
       (23311*t[13])/216 - (1141*t[14])/12 + (12833*t[15])/144 - 
       (10*t[17])/3 + 4*t[19] + 12*t[20] + 4*t[21] - 4*t[23] - (8*t[24])/3 + 
       (4*t[27])/3 + (16*t[28])/3 - (16*t[29])/3 + 36*t[30] + 12*t[31] + 
       (92*t[32])/3 + 46*t[33] - (92*t[34])/3 - 44*t[35] - 52*t[36] - 
       (8*t[37])/3 - (110*t[39])/3 - (37*t[40])/3 + (34*t[41])/3 - 
       (34*t[42])/3 - (65*t[43])/6 + 7*t[44] + (53*t[45])/3 - 7*t[46] - 
       (34*t[47])/3 - (347*t[48])/6 - (653*t[49])/12 + (271*t[50])/6 + 
       (1219*t[51])/24 - (95*t[52])/6 + (461*t[53])/12 + (122*t[54])/3 + 
       6*t[55] + (8*t[59])/3 - (269*t[60])/3 - 99*t[61] - (347*t[62])/4 - 
       (2291*t[63])/12 - (115*t[64])/2 - (1189*t[65])/6 + (1010*t[66])/9 + 
       (26*t[68])/3 - 4*t[69] + (40*t[70])/3 - (40*t[71])/3 + (100*t[72])/3 - 
       74*t[73] + 4*t[74] - 94*t[75] - (154*t[76])/3 + 12*t[77] - 
       (46*t[78])/3 - 64*t[79] - 104*t[81] + (40*t[82])/3 + (136*t[83])/3 - 
       (263*t[84])/6 - (59*t[85])/6 + (416*t[86])/3 + (517*t[87])/6 + 
       (1229*t[88])/12 + (35*t[89])/3 - 8*t[95] - (106*t[96])/3 - 
       (46*t[97])/3 - 352*t[98] + 480*t[99] - 76*t[100] + 12*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((88*t[1])/3 - (47*t[2])/2 - (875*t[3])/12 + (563*t[4])/3 - 
       (3973*t[5])/24 - (773*t[6])/12 + (587*t[7])/6 - 129*t[8] + 
       (977*t[9])/8 + 107*t[10] + 175*t[11] + (1229*t[12])/24 + 
       (3067*t[13])/18 - (2587*t[14])/72 + (797*t[15])/48 + 6*t[17] - 
       (4*t[18])/3 - 104*t[20] - (4*t[21])/3 + 12*t[22] + (4*t[23])/3 - 
       (40*t[24])/3 + (2*t[25])/3 + (8*t[26])/3 + (50*t[27])/3 - 
       (284*t[28])/3 + (32*t[29])/3 + (208*t[30])/3 + 4*t[31] + 
       (40*t[32])/3 - (32*t[33])/3 - (64*t[34])/3 + 8*t[35] - 4*t[36] - 
       16*t[37] + (16*t[38])/3 - (140*t[39])/3 + (98*t[40])/3 + 
       (17*t[41])/3 - (19*t[42])/3 - (7*t[43])/12 + (74*t[44])/3 + 
       (5*t[45])/2 + (31*t[47])/3 - (291*t[48])/4 - 44*t[49] + 
       (359*t[50])/12 + (129*t[51])/4 - (919*t[52])/12 + 48*t[53] - 
       (47*t[54])/12 + (8*t[57])/3 + (8*t[58])/3 + (70*t[59])/3 - 
       (323*t[60])/2 + (973*t[61])/6 - (1153*t[62])/4 - (209*t[63])/12 + 
       (871*t[64])/12 - (7925*t[65])/18 - (649*t[66])/2 - 4*t[68] + 
       (8*t[70])/3 - (8*t[71])/3 + (100*t[72])/3 - 78*t[73] - 12*t[74] - 
       218*t[75] - (256*t[76])/3 + (154*t[77])/3 - (470*t[78])/3 + 12*t[79] - 
       16*t[80] - 56*t[81] - (50*t[82])/3 + (304*t[83])/3 - (296*t[84])/3 + 
       (160*t[85])/3 - (178*t[86])/3 + (698*t[87])/3 + (349*t[88])/3 + 
       (327*t[89])/4 - (2*t[92])/3 + 4*t[93] + 176*t[98] - 216*t[99] + 
       164*t[100] + 12*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-65*t[1])/3 + (77*t[2])/2 + t[3]/12 - 
       (194*t[4])/3 + (1057*t[5])/24 + (833*t[6])/12 - (85*t[7])/12 - 
       (211*t[8])/12 + (217*t[9])/8 - (833*t[10])/6 - (679*t[11])/12 + 
       (781*t[12])/24 + (18563*t[13])/216 - (6197*t[14])/72 - 
       (8093*t[15])/144 + 8*t[16] - (68*t[25])/3 + (100*t[26])/3 + 20*t[27] + 
       (142*t[28])/3 - (112*t[29])/3 - (2*t[30])/3 - 8*t[31] - 4*t[32] + 
       4*t[33] + 10*t[34] - 4*t[35] + 2*t[36] + (46*t[37])/3 - (44*t[38])/3 - 
       12*t[39] - (52*t[40])/3 - 5*t[41] + 5*t[42] + (5*t[43])/2 + 
       (208*t[44])/3 - (73*t[45])/3 + (35*t[46])/3 + (134*t[47])/3 - 
       (196*t[48])/3 - (983*t[49])/12 + (137*t[50])/3 + (115*t[51])/4 - 
       5*t[52] + (995*t[53])/12 + (22*t[54])/3 + 2*t[58] - t[59]/3 - 
       (379*t[60])/6 - 347*t[61] + (465*t[62])/4 - (7085*t[63])/12 - 
       (99*t[64])/2 - (80*t[65])/3 - (2159*t[66])/18 + (8*t[68])/3 + 
       (4*t[70])/3 - (4*t[71])/3 + (88*t[72])/3 - 10*t[73] + 10*t[74] - 
       174*t[75] + (110*t[76])/3 + 22*t[77] - (394*t[78])/3 - 72*t[79] + 
       44*t[80] - 65*t[81] - (95*t[82])/3 - (110*t[83])/3 + (56*t[84])/3 + 
       (745*t[85])/6 + (164*t[86])/3 + (343*t[87])/6 + (407*t[88])/12 + 
       (1697*t[89])/12 + 4*t[95] - (70*t[96])/3 - (64*t[97])/3 + 176*t[98] - 
       216*t[99] + 164*t[100] + 12*t[102]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*((55*t[1])/4 - (71*t[2])/4 - 
       (201*t[3])/4 - (449*t[4])/8 + (7*t[5])/2 + (795*t[6])/8 + 
       (1217*t[7])/8 + (281*t[8])/8 + (1465*t[9])/8 - (1753*t[10])/16 + 
       (231*t[11])/2 + (221*t[12])/16 - (277*t[13])/144 + (2039*t[14])/32 - 
       (27*t[15])/4 + (3*t[16])/2 + 10*t[18] + 4*t[21] - 8*t[23] + 4*t[24] - 
       24*t[25] + (5*t[26])/2 - 28*t[27] - 16*t[28] + 12*t[29] + 6*t[30] + 
       6*t[31] + 4*t[32] - 4*t[33] + (77*t[34])/2 + 4*t[35] - 14*t[37] + 
       4*t[38] - 4*t[39] - 20*t[40] + (7*t[41])/4 + (43*t[42])/4 - 
       (13*t[43])/8 - 4*t[44] - (85*t[45])/4 - (49*t[46])/2 + (73*t[47])/2 + 
       (39*t[48])/2 + (655*t[49])/16 + (79*t[50])/2 + (7*t[51])/32 - 
       8*t[52] - (607*t[53])/16 - (395*t[54])/8 + (13*t[58])/2 - 
       (119*t[59])/4 + (1259*t[60])/8 + (91*t[61])/8 - (2481*t[62])/16 + 
       (2233*t[63])/16 - (363*t[64])/16 + (199*t[65])/24 + (1039*t[66])/24 - 
       (9*t[68])/2 - 12*t[70] + 12*t[71] - 16*t[72] - 92*t[73] - 4*t[74] + 
       88*t[75] + (15*t[76])/2 - 11*t[77] - (25*t[78])/2 + 28*t[79] + 
       111*t[80] - 19*t[81] + (61*t[82])/2 - 98*t[83] - (161*t[84])/8 - 
       (93*t[85])/8 + 37*t[86] - (427*t[87])/8 - (427*t[88])/16 + 
       (691*t[89])/16 - t[90]/2 + t[91]/6 - 2*t[93] + (7*t[97])/2 + 
       264*t[98] - 156*t[99] - 199*t[100] + 18*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*((115*t[1])/4 + t[2] + 
       (177*t[3])/4 - (1071*t[4])/8 + 80*t[5] + (133*t[6])/4 + (457*t[7])/2 + 
       (707*t[8])/4 + (383*t[9])/4 - (4763*t[10])/16 + (207*t[11])/4 - 
       (55*t[12])/16 - (2083*t[13])/72 - (2639*t[14])/96 - (3911*t[15])/48 - 
       3*t[16] - 6*t[19] - 24*t[25] - (29*t[26])/2 - 8*t[27] - 2*t[28] - 
       6*t[29] + 16*t[31] + 3*t[32] - 3*t[33] - (23*t[34])/2 + 36*t[35] - 
       t[36] + 23*t[37] + 31*t[38] + 4*t[39] - 8*t[40] + (23*t[41])/4 - 
       (23*t[42])/4 - 24*t[43] - (77*t[45])/4 - (21*t[46])/2 + (83*t[47])/2 + 
       (75*t[48])/2 + (743*t[49])/16 - (55*t[50])/2 - (205*t[51])/32 + 
       45*t[52] - (127*t[53])/16 + (399*t[54])/8 + t[58]/2 - (75*t[59])/4 - 
       (373*t[60])/8 - (1621*t[61])/8 - (5995*t[62])/16 - (6485*t[63])/16 + 
       (2157*t[64])/16 - (15*t[65])/8 - (271*t[66])/8 + (21*t[68])/2 - 
       8*t[70] + 8*t[71] + 20*t[72] - 70*t[73] + 10*t[74] + 62*t[75] + 
       (57*t[76])/2 + 8*t[77] - (119*t[78])/2 - 44*t[79] - 9*t[80] - 
       (57*t[81])/2 + 20*t[82] - 70*t[83] - (505*t[84])/8 - (523*t[85])/8 + 
       (757*t[86])/2 + (67*t[87])/8 - (477*t[88])/16 + (1363*t[89])/16 - 
       t[90]/2 + t[91]/6 - 2*t[93] + 4*t[95] + 30*t[96] + (17*t[97])/2 + 
       264*t[98] - 156*t[99] - 199*t[100] + 18*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*
      ((39*t[1])/2 - (129*t[2])/4 - (519*t[3])/8 - (159*t[4])/2 - 
       (375*t[5])/16 + (1035*t[6])/8 + (2415*t[7])/8 + (645*t[8])/8 + 
       (5051*t[9])/16 - (417*t[10])/2 + (1431*t[11])/8 + (249*t[12])/16 + 
       (247*t[13])/48 + (133*t[14])/2 - (1287*t[15])/32 + 12*t[18] + 
       6*t[21] - 15*t[23] + 6*t[24] - 30*t[25] + (51*t[26])/2 - 36*t[27] - 
       24*t[28] + 24*t[29] + 12*t[30] + 12*t[31] + 12*t[32] - 12*t[33] + 
       54*t[34] + 24*t[35] - 6*t[36] - 12*t[37] + 3*t[38] + 6*t[39] - 
       (87*t[40])/2 + 6*t[41] + (27*t[42])/2 + (15*t[43])/2 - 6*t[44] - 
       (45*t[45])/2 - (75*t[46])/2 + 36*t[47] + (75*t[48])/2 + 
       (561*t[49])/8 + (117*t[50])/2 - (297*t[51])/16 + (15*t[52])/2 - 
       (513*t[53])/8 - (333*t[54])/4 + (27*t[58])/2 - (201*t[59])/4 + 
       (717*t[60])/4 - 192*t[61] - (1521*t[62])/8 + (885*t[63])/8 + 
       (585*t[64])/8 - (123*t[65])/2 + (87*t[66])/2 - 6*t[68] - 18*t[70] + 
       18*t[71] - 60*t[72] - 72*t[73] - 6*t[74] + 48*t[75] + 36*t[76] - 
       12*t[77] - (153*t[78])/2 + 72*t[79] + 168*t[80] - (105*t[81])/2 + 
       (75*t[82])/2 - 210*t[83] - (201*t[84])/4 + (3*t[85])/4 + 84*t[86] - 
       (147*t[87])/4 - (147*t[88])/8 + (1521*t[89])/8 - 6*t[93] + 
       (3*t[97])/2 + 648*t[98] - 504*t[99] - 228*t[100] + 36*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*((123*t[1])/2 + 12*t[2] + 
       (357*t[3])/4 - (1899*t[4])/8 + 111*t[5] + (231*t[6])/2 + 
       (1689*t[7])/4 + (1389*t[8])/4 + (885*t[9])/4 - (7437*t[10])/16 + 
       39*t[11] - (369*t[12])/16 - (341*t[13])/6 - (2097*t[14])/32 - 
       (2915*t[15])/16 - 6*t[16] - 9*t[19] - 48*t[25] + (3*t[26])/2 + 
       12*t[28] - 12*t[29] + 24*t[31] + 6*t[32] - 6*t[33] - 21*t[34] + 
       72*t[35] - 3*t[36] + 48*t[37] + (123*t[38])/2 + (39*t[39])/2 - 
       27*t[40] + (21*t[41])/2 - (21*t[42])/2 - 48*t[43] - (81*t[45])/2 - 
       18*t[46] + 87*t[47] + (129*t[48])/2 + (1365*t[49])/16 - 
       (111*t[50])/2 - (573*t[51])/32 + (201*t[52])/2 - (501*t[53])/16 + 
       (855*t[54])/8 + (9*t[58])/2 - (75*t[59])/2 - (807*t[60])/8 - 
       (4269*t[61])/8 - (9495*t[62])/16 - (13641*t[63])/16 + 
       (3285*t[64])/16 - (147*t[65])/8 - (157*t[66])/8 + 18*t[68] - 
       12*t[70] + 12*t[71] + 12*t[72] - 36*t[73] + 21*t[74] + 72*t[76] + 
       21*t[77] - 162*t[78] - 72*t[79] - 42*t[80] - (135*t[81])/2 + 
       21*t[82] - 180*t[83] - (885*t[84])/8 - (663*t[85])/8 + 621*t[86] - 
       (201*t[87])/8 - (1113*t[88])/16 + (4443*t[89])/16 - 6*t[93] + 
       6*t[95] + 45*t[96] + 9*t[97] + 648*t[98] - 504*t[99] - 228*t[100] + 
       36*t[102]) + HPL[{0, 0, 0, 0, 1}, 1 - u]*(21*t[1] - 7*t[2] - 38*t[3] - 
       64*t[4] + 63*t[5] - 72*t[6] - 20*t[7] + 20*t[8] - 73*t[9] + 72*t[10] + 
       44*t[11] - 42*t[12] - (221*t[13])/6 + (281*t[14])/3 + (433*t[15])/6 - 
       24*t[18] + 2*t[19] - 24*t[21] + 8*t[23] - 24*t[24] - t[41] + 9*t[42] + 
       54*t[43] + 108*t[45] - 176*t[47] + 4*t[48] - 4*t[49] + 4*t[50] + 
       2*t[51] - 4*t[52] + 4*t[53] - 4*t[54] - 14*t[59])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*(t[1]/4 - (23*t[2])/8 + (3*t[3])/2 + 
       17*t[4] - (17*t[5])/4 + (49*t[6])/6 - (9*t[7])/4 + (41*t[8])/4 - 
       (9*t[9])/4 - 3*t[10] + (39*t[11])/8 - (13*t[12])/2 + (569*t[13])/144 - 
       (137*t[14])/24 - (20*t[15])/3 + t[24]/2 - t[25]/2 - (3*t[27])/2 - 
       t[28]/2 + t[32]/2 - t[35]/2 + t[38]/2 - t[39]/2 - t[40]/2 + t[41]/4 - 
       t[42]/4 - 2*t[44] - 2*t[45] - 2*t[46] + (13*t[47])/2 - t[48]/4 + 
       (7*t[49])/4 + t[51] - (7*t[53])/4 - (3*t[54])/2 - t[59]/2 - 
       (7*t[60])/2 + t[61]/2 - (75*t[62])/8 - (41*t[63])/8 + (131*t[64])/8 - 
       (317*t[65])/24 - (559*t[66])/72 - 2*t[74] - 2*t[75] - (3*t[78])/2 + 
       t[79]/2 - (3*t[81])/4 - t[82]/4 + (25*t[83])/4 - (25*t[84])/8 + 
       t[85]/4 - (5*t[86])/2 + 8*t[87] + 4*t[88] + (27*t[89])/8)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*Omega2[v, w, u]*(-t[1] + (29*t[2])/2 - 10*t[3] - 
       13*t[4] - 9*t[5] - 17*t[6] - 2*t[7] - 24*t[8] + 28*t[9] + t[10]/2 - 
       (23*t[11])/2 + (45*t[12])/2 - (17*t[13])/4 + (57*t[14])/4 + 
       (22*t[15])/3 - 2*t[24] + 2*t[25] + 6*t[27] + 2*t[28] - 2*t[32] + 
       2*t[35] - 2*t[38] + 2*t[39] + 2*t[40] - t[41] + t[42] - 2*t[47] - 
       4*t[48] - (17*t[49])/2 - 5*t[50] - (5*t[51])/4 + 5*t[52] + 
       (17*t[53])/2 + 14*t[54] + 2*t[59] + 24*t[60] - 10*t[61] + 15*t[62] + 
       29*t[63] + (9*t[64])/2 + (95*t[65])/6 + (21*t[66])/2 - 2*t[78] - 
       t[81] - 3*t[82] - t[83] + (9*t[84])/2 + 9*t[85] - 18*t[87] - 9*t[88] + 
       (7*t[89])/2)*\[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((19*t[1])/2 + (65*t[2])/2 + (21*t[3])/8 + (703*t[4])/8 - 
       (347*t[5])/8 - (381*t[6])/16 + (405*t[7])/8 - (1611*t[8])/8 + 
       (515*t[9])/8 - (1191*t[10])/16 + (707*t[11])/16 + (161*t[12])/16 + 
       (953*t[13])/144 - (3467*t[14])/96 - (503*t[15])/144 + 2*t[19] - 
       2*t[21] + 2*t[23] - 21*t[24] - 21*t[25] + 20*t[26] + 9*t[27] + 
       12*t[28] + (5*t[29])/2 + 3*t[30] + 4*t[31] - 5*t[33] + 5*t[34] + 
       12*t[35] - 6*t[36] - 4*t[37] + 7*t[39] - 17*t[40] - (29*t[41])/2 + 
       (29*t[42])/2 - (67*t[43])/8 + (47*t[44])/4 - (15*t[45])/4 + 15*t[46] + 
       (13*t[47])/2 - (933*t[48])/16 - (467*t[49])/16 + (751*t[50])/16 - 
       (39*t[51])/32 - (543*t[52])/16 + (483*t[53])/16 - (553*t[54])/16 - 
       6*t[57] + 3*t[58] - 8*t[59] - 126*t[61] + 67*t[62] - 35*t[63] - 
       59*t[64] - (26*t[65])/3 + (374*t[66])/3 - 16*t[77] - 40*t[80] + 
       28*t[86] + 16*t[89])*\[Zeta][2] + HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (8*t[1] - 8*t[3] + 48*t[4] + 4*t[5] + 12*t[6] + 8*t[7] + 24*t[8] + 
       8*t[9] - 87*t[10] - 6*t[11] - 39*t[12] + (278*t[13])/3 - 
       (69*t[14])/2 + (29*t[15])/3 + 24*t[25] - 46*t[26] + 54*t[37] + 
       6*t[38] - 40*t[46] + 8*t[48] + 47*t[49] - 4*t[50] + (67*t[51])/2 + 
       4*t[52] - 15*t[53] + 4*t[54] - 5*t[59] + 54*t[60] + t[61] + 23*t[62] - 
       55*t[63] + 79*t[64] + (4*t[65])/3 - (272*t[66])/3 - 24*t[70] + 
       24*t[71] + 8*t[84] - 4*t[85] - 8*t[87] - 20*t[88] + 31*t[89])*
      \[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - w]*((-27*t[1])/2 + (45*t[2])/2 + 
       (371*t[3])/8 + 10*t[4] + (1247*t[5])/16 - (1115*t[6])/16 + 
       (91*t[7])/8 - (179*t[8])/8 - (873*t[9])/16 + (619*t[10])/4 - 
       (1377*t[11])/16 - (465*t[12])/16 - (345*t[13])/16 - (2417*t[14])/24 - 
       (2563*t[15])/288 + 2*t[24] + 3*t[25] + 12*t[26] + 13*t[27] - 
       20*t[28] + 3*t[29] - 5*t[30] - 4*t[31] + 6*t[32] - 4*t[33] - 3*t[34] - 
       10*t[35] - 6*t[36] + 30*t[37] - 11*t[38] - 6*t[39] - (7*t[40])/2 + 
       (3*t[41])/2 - (3*t[42])/2 - (13*t[43])/4 + t[44]/2 + (59*t[45])/4 - 
       13*t[46] - (47*t[47])/2 - (503*t[48])/16 + (367*t[49])/8 + 
       (389*t[50])/16 - (231*t[51])/8 - (341*t[52])/16 - (391*t[53])/8 - 
       (1129*t[54])/16 + t[58] + (11*t[59])/2 - (605*t[60])/8 - 
       (1855*t[61])/8 + (755*t[62])/16 - (427*t[63])/16 + (761*t[64])/16 + 
       (27*t[65])/8 + (5119*t[66])/24 - 2*t[73] + 18*t[74] - 34*t[75] - 
       5*t[76] - 8*t[77] - 2*t[78] + 64*t[79] - 83*t[80] - 17*t[81] + 
       32*t[82] + 61*t[83] - (209*t[84])/8 + (207*t[85])/8 + (123*t[86])/2 + 
       (121*t[87])/8 + (121*t[88])/16 + (1309*t[89])/16 + 6*t[96] + 3*t[97])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((-5*t[1])/3 + (3*t[2])/8 - (5*t[3])/12 + (103*t[4])/12 - (7*t[5])/6 - 
       (21*t[6])/8 + (5*t[7])/2 + (7*t[8])/12 - (17*t[9])/8 + 
       (113*t[10])/24 - (11*t[11])/8 + (47*t[12])/12 + (1301*t[13])/216 + 
       (13*t[14])/72 + (29*t[15])/144 + (2*t[25])/3 + (2*t[27])/3 - 
       (4*t[28])/3 - (2*t[29])/3 + (7*t[30])/6 - (2*t[31])/3 - t[35]/3 + 
       (7*t[37])/3 - (2*t[38])/3 - (2*t[39])/3 + (2*t[44])/3 - (7*t[46])/4 - 
       (49*t[48])/24 + (53*t[49])/24 + (23*t[50])/24 - t[51]/24 - 
       (23*t[52])/24 - (53*t[53])/24 - (7*t[54])/8 + (7*t[59])/3 - 
       (25*t[60])/12 + (11*t[61])/4 + (3*t[62])/8 + (41*t[63])/8 + 
       (13*t[64])/8 - (407*t[65])/36 - (73*t[66])/12 + (2*t[72])/3 + 
       t[73]/2 - (11*t[74])/3 - (17*t[75])/6 - (11*t[78])/6 - 2*t[79] - 
       (2*t[80])/3 - t[81]/2 + t[82]/3 + (11*t[83])/3 - (17*t[84])/12 + 
       (7*t[85])/12 + (7*t[86])/3 + (29*t[87])/12 + (29*t[88])/24 - 
       (31*t[89])/24 - (4*t[99])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*(-3*t[1] - 27*t[2] + 
       (31*t[3])/4 - 76*t[4] + (2119*t[5])/8 - (93*t[6])/4 + (187*t[7])/4 - 
       (331*t[8])/4 - (1035*t[9])/8 - (937*t[10])/4 + (1131*t[11])/4 - 
       (219*t[12])/8 + (13765*t[13])/72 - (435*t[14])/8 + (867*t[15])/16 - 
       2*t[22] + 12*t[24] - 4*t[28] - 24*t[29] + 24*t[30] - 12*t[31] + 
       16*t[32] - 18*t[35] + 42*t[36] - 12*t[39] + 24*t[40] + 6*t[41] - 
       6*t[42] + (83*t[43])/2 + 16*t[44] - 35*t[45] + 6*t[46] + 72*t[47] - 
       (125*t[48])/2 - (23*t[49])/2 + (191*t[50])/2 + (89*t[51])/4 - 
       (191*t[52])/2 + (23*t[53])/2 - (309*t[54])/2 - 6*t[59] - 175*t[60] + 
       176*t[61] - (657*t[62])/4 - (1495*t[63])/4 + (633*t[64])/2 - 
       (580*t[65])/3 - (1444*t[66])/3 + 216*t[73] - 54*t[74] + 10*t[75] + 
       72*t[76] - 34*t[77] + 34*t[78] + 10*t[79] + 238*t[80] - 29*t[81] - 
       7*t[82] + 142*t[83] - 85*t[84] - (167*t[85])/2 + 274*t[86] + 
       (495*t[87])/2 + (495*t[88])/4 - 136*t[89] + 72*t[98] - 36*t[99] - 
       428*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-9*t[1])/2 - (57*t[2])/4 - (959*t[3])/8 + t[4] - (67*t[5])/8 + 
       (809*t[6])/16 + (2143*t[7])/8 - (1159*t[8])/8 + (1497*t[9])/8 - 
       (101*t[10])/8 + (3821*t[11])/16 + (1451*t[12])/8 + (10669*t[13])/144 + 
       (16259*t[14])/48 - (113*t[15])/24 - 16*t[19] + 12*t[21] - 18*t[22] - 
       12*t[23] - 33*t[24] + 6*t[25] - 6*t[26] - 36*t[27] - 42*t[28] - 
       (29*t[29])/2 - 9*t[30] + 6*t[31] + 3*t[32] + 12*t[33] + 42*t[34] + 
       2*t[35] - 39*t[36] - 6*t[37] - 12*t[38] - 9*t[39] - 15*t[40] + 
       16*t[41] - 16*t[42] + (231*t[43])/8 + (261*t[44])/4 - 15*t[45] - 
       (27*t[46])/2 - 31*t[47] - (1495*t[48])/16 - (55*t[49])/4 + 
       (1333*t[50])/16 - 14*t[51] - (757*t[52])/16 + (51*t[53])/4 - 
       (389*t[54])/16 - 18*t[57] + (45*t[59])/2 + (3009*t[60])/8 + 
       (5829*t[61])/8 - (323*t[62])/2 - (319*t[63])/4 - (9789*t[64])/16 - 
       (1477*t[65])/12 - (10033*t[66])/24 - 28*t[69] + 120*t[73] - 6*t[74] + 
       178*t[75] + 132*t[76] + (3*t[77])/2 - 12*t[78] + 16*t[79] + 
       (65*t[80])/2 + 49*t[81] - (59*t[82])/2 - 34*t[83] + (847*t[84])/8 + 
       (795*t[85])/8 + (287*t[86])/4 - (2407*t[87])/8 - (2407*t[88])/16 - 
       (3597*t[89])/16 + 12*t[97] + 72*t[98] - 36*t[99] - 428*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((19*t[1])/2 + 20*t[2] - 84*t[3] - (31*t[4])/4 - (51*t[5])/4 + 
       (71*t[6])/8 + (719*t[7])/4 + (531*t[8])/4 + (859*t[9])/4 - 
       (831*t[10])/8 + (1331*t[11])/8 + (449*t[12])/8 + (8077*t[13])/72 + 
       (8243*t[14])/48 - (179*t[15])/18 + 8*t[18] + 8*t[21] - 24*t[22] - 
       8*t[23] + 8*t[24] + 2*t[25] - 3*t[26] + 6*t[27] + 8*t[28] - 8*t[29] - 
       4*t[30] - 4*t[31] + 20*t[34] + 12*t[35] - 10*t[36] + 2*t[38] + 
       6*t[39] - 3*t[40] + 12*t[41] - 8*t[42] - (3*t[43])/4 - 15*t[44] - 
       (61*t[45])/2 - 15*t[46] + 69*t[47] + (67*t[48])/8 + (129*t[49])/8 - 
       (33*t[50])/8 - (33*t[51])/16 - (55*t[52])/8 - (65*t[53])/8 + 
       (247*t[54])/8 + 3*t[58] + 3*t[59] + (369*t[60])/2 + 524*t[61] - 
       (783*t[62])/4 - (317*t[63])/4 - (503*t[64])/4 + (233*t[65])/2 - 
       (2621*t[66])/6 - 16*t[70] + 16*t[71] - 4*t[72] - 48*t[73] + 64*t[75] + 
       21*t[76] + 4*t[78] - 24*t[79] + 164*t[80] + 17*t[81] + 18*t[82] + 
       28*t[83] + (25*t[84])/2 - (27*t[85])/2 - 4*t[86] - (239*t[87])/2 - 
       (231*t[88])/4 + (109*t[89])/4 + 12*t[96] + 7*t[97] + 24*t[98] + 
       84*t[99] - 360*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((47*t[1])/2 - 10*t[2] - (309*t[3])/4 + 
       (469*t[4])/4 - (517*t[5])/8 + (325*t[6])/2 + (407*t[7])/4 + 
       (851*t[8])/4 + (973*t[9])/8 - (839*t[10])/8 + 137*t[11] - 66*t[12] - 
       (8891*t[13])/72 + (15659*t[14])/48 - (259*t[15])/144 - 16*t[19] - 
       4*t[20] + 4*t[21] - 4*t[22] - 4*t[23] + 6*t[24] - 40*t[25] + 
       12*t[26] + 2*t[27] + 18*t[28] - 10*t[29] - 28*t[30] + 18*t[31] + 
       22*t[33] + 35*t[34] + 12*t[35] - 32*t[36] + 24*t[37] + 20*t[38] + 
       10*t[39] - 36*t[40] + (15*t[41])/2 - (15*t[42])/2 - 9*t[43] - 
       37*t[44] - (65*t[45])/2 + 5*t[46] - 11*t[47] + (143*t[48])/4 + 
       (701*t[49])/8 + (39*t[50])/4 - (789*t[51])/16 + (221*t[52])/4 - 
       (453*t[53])/8 + (21*t[54])/2 - 12*t[57] - (19*t[59])/2 + 
       (115*t[60])/2 + 430*t[61] - (459*t[62])/2 + (355*t[63])/2 - 
       182*t[64] - (2837*t[65])/6 - 372*t[66] + 8*t[69] - 8*t[70] + 8*t[71] + 
       8*t[72] - 16*t[73] + 20*t[74] + 54*t[75] - 16*t[76] - 8*t[77] - 
       33*t[78] - 68*t[79] - 60*t[80] + 3*t[81] + 26*t[82] + 78*t[83] + 
       t[84] + (39*t[85])/2 - t[86] - (375*t[87])/2 - (527*t[88])/4 - 
       (783*t[89])/4 + 8*t[95] + 20*t[96] + 13*t[97] + 24*t[98] + 84*t[99] - 
       360*t[100])*\[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - u]*
      (5*t[1] + 2*t[2] + 22*t[3] + 42*t[4] - (41*t[5])/4 - (637*t[6])/4 + 
       (181*t[7])/4 - (157*t[8])/4 - 56*t[9] - (229*t[10])/4 + 
       (243*t[11])/2 - (167*t[12])/4 - (107*t[13])/72 - (147*t[14])/4 + 
       (1271*t[15])/18 + 22*t[24] - 8*t[25] + 4*t[26] + 40*t[27] + 44*t[28] + 
       24*t[29] - 20*t[30] - 10*t[32] + 12*t[33] - 24*t[36] + 4*t[38] + 
       26*t[39] + 2*t[40] - (17*t[43])/4 + 34*t[44] + (5*t[45])/2 + 
       38*t[46] - 13*t[47] - (15*t[48])/2 + 17*t[49] + (83*t[50])/2 - 
       (23*t[51])/2 - (83*t[52])/2 - 17*t[53] - t[54]/2 - 3*t[59] - 
       63*t[60] - 11*t[61] - (121*t[62])/2 + (33*t[63])/2 + (227*t[64])/2 - 
       (113*t[65])/3 - (152*t[66])/3 + 40*t[74] + 16*t[77] + 8*t[78] + 
       30*t[80] - 20*t[81] + 26*t[82] - 8*t[84] - 12*t[85] - 58*t[86] + 
       20*t[87] + 10*t[88] - 17*t[89] + 96*t[98] + 168*t[99] - 360*t[100])*
      \[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - w]*((-43*t[1])/2 + (513*t[2])/2 - 
       (185*t[3])/4 - (305*t[4])/2 + (943*t[5])/8 - (893*t[6])/4 + 
       (827*t[7])/4 - (1661*t[8])/4 + (3581*t[9])/8 + (1735*t[10])/4 + 
       (129*t[11])/4 - (135*t[12])/8 - (5957*t[13])/72 + 353*t[14] + 
       (18707*t[15])/144 - (82*t[19])/3 - 28*t[21] + 4*t[22] + 28*t[23] - 
       20*t[24] + 16*t[25] - 9*t[26] + 20*t[27] - 44*t[28] + 26*t[29] - 
       112*t[30] + 44*t[31] - 32*t[32] - 76*t[33] + 19*t[34] - 66*t[35] + 
       34*t[36] + 10*t[37] - 7*t[38] + 12*t[39] - 14*t[40] - (61*t[41])/2 + 
       (61*t[42])/2 + (23*t[43])/2 - 70*t[44] + (165*t[45])/2 + 10*t[46] - 
       195*t[47] - (353*t[48])/2 - t[49]/2 + (143*t[50])/2 - (321*t[51])/8 - 
       (97*t[52])/2 + (21*t[53])/2 - 37*t[54] - 8*t[58] - 11*t[59] + 
       (983*t[60])/4 - (555*t[61])/4 - (1053*t[62])/8 + (537*t[63])/8 - 
       (3985*t[64])/8 - (3599*t[65])/12 - (913*t[66])/4 + 68*t[73] + 
       86*t[74] - 116*t[75] + 51*t[76] - 2*t[77] - 61*t[78] + 52*t[79] - 
       143*t[80] - 14*t[81] - 43*t[82] + 108*t[83] + 11*t[84] + 110*t[85] + 
       (227*t[86])/2 - 447*t[87] - (447*t[88])/2 - (1291*t[89])/8 + 8*t[95] + 
       5*t[97] + 96*t[98] + 168*t[99] - 360*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 1, 1, 1}, 1 - u]*(15*t[1] + 81*t[2] + 245*t[3] + 
       (91*t[4])/2 + 190*t[5] - (2255*t[6])/4 - (471*t[7])/4 - 
       (2073*t[8])/4 - (2325*t[9])/4 - 34*t[10] + (281*t[11])/2 - 
       (1005*t[12])/4 - (729*t[13])/8 - (3545*t[14])/8 + (5111*t[15])/24 - 
       24*t[18] - 24*t[21] - 24*t[22] + 24*t[23] + 48*t[24] - 48*t[25] + 
       36*t[26] + 144*t[27] + 122*t[28] + 48*t[29] - 36*t[30] - 6*t[31] - 
       32*t[32] + 48*t[33] - 66*t[34] - 62*t[36] + 12*t[38] + 48*t[39] + 
       40*t[40] - 9*t[41] - 3*t[42] + (269*t[43])/4 + 124*t[44] + 
       (59*t[45])/2 + 101*t[46] - 63*t[47] - 85*t[48] + (71*t[49])/4 + 
       150*t[50] - (185*t[51])/8 - 180*t[52] - (71*t[53])/4 - (187*t[54])/2 - 
       12*t[58] + 36*t[59] - 585*t[60] - 552*t[61] + (291*t[62])/2 + 
       (237*t[63])/2 + 66*t[64] - 261*t[65] + 486*t[66] + 48*t[70] - 
       48*t[71] + 144*t[74] - 66*t[76] + 80*t[77] + 24*t[78] - 24*t[80] - 
       114*t[81] + 78*t[82] - 66*t[84] - 18*t[85] - 270*t[86] + 258*t[87] + 
       129*t[88] - (87*t[89])/2 - 12*t[97] + 648*t[99] - 360*t[100])*
      \[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - w]*((-303*t[1])/2 + 
       (1453*t[2])/2 + (35*t[3])/4 - 554*t[4] + (4189*t[5])/8 - 
       (3351*t[6])/4 + (1915*t[7])/4 - (6269*t[8])/4 + (7779*t[9])/8 + 
       1382*t[10] - (601*t[11])/4 + (281*t[12])/8 - (24089*t[13])/72 + 
       (6341*t[14])/8 + (20311*t[15])/48 - 74*t[19] - 106*t[21] + 6*t[22] + 
       106*t[23] - 54*t[24] + 72*t[25] + 12*t[26] + 64*t[27] - 186*t[28] + 
       62*t[29] - 312*t[30] + 72*t[31] - 96*t[32] - 222*t[33] + 75*t[34] - 
       198*t[35] + 84*t[36] + 32*t[37] - 93*t[38] - 30*t[39] + 6*t[40] - 
       (223*t[41])/2 + (223*t[42])/2 + (45*t[43])/2 - 186*t[44] + 
       (487*t[45])/2 + 62*t[46] - 593*t[47] - (1241*t[48])/2 - 
       (463*t[49])/4 + (573*t[50])/2 - (455*t[51])/4 - (531*t[52])/2 + 
       (163*t[53])/4 - (527*t[54])/2 - 24*t[58] - 3*t[59] + (1623*t[60])/4 - 
       (3367*t[61])/4 - (1063*t[62])/8 + (4363*t[63])/8 - (13341*t[64])/8 - 
       (7139*t[65])/12 + (2921*t[66])/12 + 24*t[70] - 24*t[71] + 108*t[73] + 
       276*t[74] - 226*t[75] + 12*t[76] - 42*t[77] - 76*t[78] + 224*t[79] - 
       497*t[80] - 133*t[81] - 56*t[82] + 360*t[83] + 7*t[84] + 
       (637*t[85])/2 + (521*t[86])/2 - (2189*t[87])/2 - (1877*t[88])/4 - 
       (3891*t[89])/8 - 60*t[96] + 9*t[97] + 648*t[99] - 360*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      (40*t[98] + 60*t[99] - 266*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*(3*t[1] - 4*t[2] - 
       (133*t[3])/4 + (557*t[4])/4 - (77*t[5])/2 + (403*t[6])/8 + 
       (379*t[7])/4 + (323*t[8])/4 + (111*t[9])/2 - (1357*t[10])/8 + 
       (1667*t[11])/8 - (563*t[12])/8 + (3043*t[13])/72 + (7223*t[14])/48 + 
       (33*t[15])/2 + 8*t[21] - 12*t[22] - 8*t[23] + 18*t[24] - 22*t[25] + 
       8*t[26] - 6*t[27] + 12*t[28] - 15*t[29] - 2*t[30] + 8*t[31] - 
       12*t[32] + 14*t[33] + 30*t[34] - 16*t[35] - 12*t[36] - 8*t[37] + 
       4*t[38] + 6*t[39] + 2*t[40] - 3*t[41] + 3*t[42] - (7*t[43])/4 - 
       t[44]/2 - (45*t[45])/2 + 10*t[46] + 19*t[47] + (231*t[48])/8 + 
       (263*t[49])/8 + (171*t[50])/8 - (157*t[51])/16 - (219*t[52])/8 - 
       (279*t[53])/8 - (153*t[54])/8 - 4*t[57] - 2*t[58] - 7*t[59] + 
       (75*t[60])/4 + (865*t[61])/4 - (477*t[62])/8 - (347*t[63])/8 + 
       (377*t[64])/8 - (1583*t[65])/12 - (547*t[66])/4 + 12*t[73] + 
       28*t[74] + 12*t[75] + 14*t[76] - 6*t[77] + 40*t[78] + 6*t[79] - 
       6*t[80] - 6*t[81] + 36*t[82] - 14*t[83] + (91*t[84])/4 - 
       (141*t[85])/4 - 61*t[86] + (13*t[87])/4 + (13*t[88])/8 - 
       (451*t[89])/8 + 2*t[97] + 40*t[98] + 60*t[99] - 266*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      (-10*t[1] + (31*t[2])/2 - (105*t[3])/32 - (157*t[4])/4 - 
       (2599*t[5])/64 + (1309*t[6])/32 - (471*t[7])/32 + (1495*t[8])/32 + 
       (2663*t[9])/64 + (245*t[10])/32 + (101*t[11])/32 + (1011*t[12])/64 + 
       (21043*t[13])/576 + (5585*t[14])/192 + (1027*t[15])/384 - 6*t[24] - 
       3*t[25] + (33*t[26])/4 + t[27]/2 + 14*t[28] - (5*t[29])/2 - 
       (17*t[30])/2 - 10*t[31] - (15*t[32])/2 + (3*t[33])/2 + (27*t[34])/4 - 
       11*t[35] - 20*t[36] - 8*t[37] - 7*t[38] - (13*t[39])/2 - t[40]/2 - 
       (27*t[41])/8 + (27*t[42])/8 - (83*t[43])/16 - t[44]/2 + (99*t[45])/8 - 
       (35*t[46])/4 - (129*t[47])/4 + (147*t[48])/16 - (391*t[49])/16 - 
       (169*t[50])/16 + (119*t[51])/32 + (237*t[52])/16 + (231*t[53])/16 + 
       (499*t[54])/16 - (3*t[58])/4 - t[59] + (335*t[60])/4 - (37*t[61])/4 + 
       (1159*t[62])/16 - (351*t[63])/16 + (489*t[64])/16 + (1679*t[65])/16 + 
       (271*t[66])/48 - 4*t[69] + 2*t[70] - 2*t[71] + 4*t[72] + 20*t[73] + 
       26*t[74] - 40*t[75] - (55*t[76])/4 + (11*t[77])/4 + 31*t[78] + 
       12*t[79] + (17*t[80])/4 + (59*t[81])/4 - (43*t[82])/8 - 55*t[83] + 
       77*t[84] + (145*t[85])/2 + (99*t[86])/4 - 50*t[87] - 20*t[88] + 
       22*t[89] - 4*t[95] - 18*t[96] - (49*t[97])/4 - 17*t[98] + 133*t[99] - 
       235*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((21*t[1])/8 + (131*t[2])/4 + (71*t[3])/2 + (741*t[4])/32 + 
       (899*t[5])/16 - (239*t[6])/8 - (505*t[7])/8 - (425*t[8])/8 - 
       (1161*t[9])/16 + (4537*t[10])/64 - (393*t[11])/16 - (3599*t[12])/64 + 
       (271*t[13])/288 - (15733*t[14])/384 + (1283*t[15])/192 - 4*t[19] - 
       2*t[20] - 4*t[22] - t[24] + 7*t[25] - (15*t[26])/2 + 5*t[27] + 
       9*t[28] + (15*t[29])/2 + t[30] + 2*t[31] - 6*t[32] + 5*t[33] - 
       (85*t[34])/4 + 19*t[35] + (11*t[36])/2 + 14*t[37] + (27*t[38])/4 - 
       (17*t[39])/2 + (37*t[40])/2 - (43*t[41])/8 + (43*t[42])/8 + 
       (75*t[43])/8 + (47*t[44])/4 + (215*t[45])/4 - (125*t[46])/8 - 
       (169*t[47])/2 + t[48] + (43*t[49])/64 - (69*t[50])/4 + 
       (1253*t[51])/128 - (17*t[52])/2 + (133*t[53])/64 + (583*t[54])/32 + 
       2*t[57] + (5*t[58])/4 - 7*t[59] + (1703*t[60])/32 - (2769*t[61])/32 + 
       (7151*t[62])/64 - (2799*t[63])/64 - (373*t[64])/64 - (2225*t[65])/32 - 
       (1459*t[66])/32 - 4*t[69] + 2*t[70] - 2*t[71] - 11*t[72] + 28*t[73] + 
       (43*t[74])/2 - 57*t[75] - (13*t[76])/4 - (53*t[77])/4 - 11*t[78] + 
       24*t[79] - (93*t[80])/2 + (3*t[81])/4 - 19*t[82] - 77*t[83] + 
       (741*t[84])/32 + (465*t[85])/32 - 88*t[86] - (1503*t[87])/32 - 
       (1503*t[88])/64 + (1389*t[89])/64 - (9*t[97])/4 - 17*t[98] + 
       133*t[99] - 235*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(14*t[1] - (179*t[3])/6 + (160*t[4])/3 - 
       (455*t[5])/6 + 62*t[6] + (2*t[7])/3 + (683*t[8])/6 + (61*t[9])/2 - 
       (253*t[10])/2 + (302*t[11])/3 - (173*t[12])/6 - (119*t[13])/2 + 
       (479*t[14])/3 - 4*t[15] - 4*t[20] - 8*t[24] - 30*t[25] + 12*t[26] - 
       (56*t[27])/3 + (40*t[28])/3 + (29*t[29])/3 + (28*t[30])/3 - 4*t[31] - 
       2*t[32] + 2*t[33] + 2*t[34] - 60*t[35] - 6*t[36] - 28*t[37] + 
       12*t[38] + (56*t[39])/3 - 4*t[40] + t[41] - t[42] + 6*t[43] - 
       (11*t[44])/3 - t[45]/2 + 12*t[46] - t[47] + (80*t[48])/3 + 2*t[49] - 
       (64*t[50])/3 - (2*t[51])/3 + (22*t[52])/3 - 2*t[53] + 16*t[54] - 
       2*t[58] - 6*t[59] + (305*t[60])/6 + (203*t[61])/2 - (215*t[62])/2 + 
       (131*t[63])/3 - (245*t[64])/6 + (493*t[65])/9 - (388*t[66])/9 + 
       (4*t[72])/3 - 38*t[73] - 10*t[75] + 2*t[76] - 5*t[77] + 10*t[78] - 
       18*t[79] + 51*t[80] + (112*t[81])/3 - (107*t[82])/3 - (116*t[83])/3 + 
       (59*t[84])/3 - (82*t[85])/3 + (89*t[86])/2 - (140*t[87])/3 - 
       (70*t[88])/3 - (73*t[89])/3 - 2*t[97] + 16*t[98] - 220*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((97*t[1])/6 + (82*t[2])/3 - (21*t[3])/8 + (11*t[4])/6 - 
       (685*t[5])/48 + (743*t[6])/24 - (559*t[7])/24 + (3587*t[8])/24 - 
       (1079*t[9])/48 - (3749*t[10])/24 + (1129*t[11])/24 - (2035*t[12])/48 - 
       (51821*t[13])/432 + (6227*t[14])/48 + (2053*t[15])/288 - 4*t[20] - 
       4*t[24] - 38*t[25] + (52*t[26])/3 - (32*t[27])/3 + (40*t[28])/3 + 
       (29*t[29])/3 + (28*t[30])/3 - 8*t[31] + (2*t[32])/3 - (14*t[33])/3 + 
       (2*t[34])/3 - 64*t[35] - 6*t[36] - 32*t[37] + 16*t[38] + 
       (76*t[39])/3 - (28*t[40])/3 + (5*t[41])/3 - (5*t[42])/3 + 
       (71*t[43])/6 - (23*t[44])/3 + (29*t[45])/6 + 16*t[46] - 9*t[47] + 
       (127*t[48])/3 - (37*t[49])/3 - 15*t[50] - (17*t[51])/6 + 
       (23*t[52])/3 + (37*t[53])/3 + (91*t[54])/3 - (2*t[58])/3 - 
       (15*t[59])/2 + (361*t[60])/6 + (286*t[61])/3 - (13*t[62])/12 + 
       (605*t[63])/12 - (43*t[64])/4 - (2717*t[65])/36 + (689*t[66])/36 - 
       8*t[69] + 8*t[72] - 8*t[73] + 4*t[74] + 60*t[75] + (20*t[76])/3 - 
       15*t[77] + (112*t[78])/3 - 28*t[79] + (205*t[80])/3 + 26*t[81] - 
       (43*t[82])/2 - 70*t[83] + 45*t[84] - (134*t[85])/3 + 16*t[86] - 
       (206*t[87])/3 - (103*t[88])/3 - (369*t[89])/4 + (2*t[97])/3 - 
       36*t[98] + 144*t[99] - 212*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*(5*t[1] - (8*t[2])/3 - 
       (509*t[3])/12 + (4265*t[4])/24 - (3635*t[5])/24 + (269*t[7])/4 - 
       (931*t[8])/12 + (3983*t[9])/24 - (3545*t[10])/16 + (1891*t[11])/12 + 
       (409*t[12])/16 + (176*t[13])/9 + (46591*t[14])/288 - (935*t[15])/18 - 
       2*t[24] - (16*t[25])/3 - (25*t[26])/3 - (44*t[27])/3 + (52*t[28])/3 - 
       (13*t[29])/3 + (40*t[30])/3 + (86*t[31])/3 - 6*t[32] + 4*t[33] + 
       (2*t[34])/3 - 12*t[35] - 32*t[36] - 32*t[37] + 5*t[38] + 
       (38*t[39])/3 + (4*t[40])/3 - t[41]/3 + t[42]/3 - (49*t[43])/6 + 
       (73*t[44])/3 - 19*t[45] + (47*t[46])/6 + 32*t[47] - (57*t[48])/4 + 
       (897*t[49])/16 - (65*t[50])/4 - (2003*t[51])/96 + (155*t[52])/12 - 
       (769*t[53])/16 - (361*t[54])/8 - (2*t[58])/3 - (31*t[59])/6 + 
       (6607*t[60])/24 + (1433*t[61])/8 - (14449*t[62])/48 - 
       (1765*t[63])/16 - (593*t[64])/48 - (6611*t[65])/72 - 
       (10459*t[66])/24 - 8*t[69] - 6*t[72] + 44*t[73] - 10*t[74] - 
       16*t[75] + (140*t[76])/3 + (5*t[77])/3 - (44*t[78])/3 - 34*t[79] + 
       58*t[80] + (160*t[81])/3 - (295*t[82])/3 - 10*t[83] + 
       (1817*t[84])/24 + (1381*t[85])/24 + (652*t[86])/3 - (1621*t[87])/8 - 
       (1621*t[88])/16 - (1067*t[89])/48 + (2*t[97])/3 - 36*t[98] + 
       144*t[99] - 212*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((17*t[1])/4 - (91*t[2])/24 + 
       (40*t[3])/3 - (20929*t[4])/96 + (421*t[5])/6 - (91*t[6])/16 + 
       (59*t[7])/8 + (2797*t[8])/24 - (553*t[9])/24 + (7033*t[10])/64 - 
       (245*t[11])/3 + (1909*t[12])/64 - (28481*t[13])/288 - 
       (30239*t[14])/1152 + (32543*t[15])/576 + 8*t[24] - (11*t[25])/6 + 
       (77*t[26])/12 + (61*t[27])/3 - (26*t[28])/3 + (5*t[29])/3 + 
       (47*t[30])/6 - (65*t[31])/6 + t[32] + 3*t[33] - (4*t[34])/3 - 
       11*t[35] + (37*t[36])/2 + 6*t[37] - (5*t[38])/4 + (5*t[39])/3 - 
       (14*t[40])/3 - t[41]/3 + t[42]/3 + (109*t[43])/12 - (20*t[44])/3 + 
       (75*t[45])/4 + (101*t[46])/24 - (69*t[47])/2 + (363*t[48])/16 - 
       (3189*t[49])/64 + (11*t[50])/16 + (3871*t[51])/384 + (575*t[52])/48 + 
       (4517*t[53])/64 + (3241*t[54])/32 - (2*t[58])/3 + (103*t[59])/24 - 
       (24671*t[60])/96 + (3747*t[61])/32 + (46505*t[62])/192 + 
       (16893*t[63])/64 - (13811*t[64])/192 + (20443*t[65])/288 + 
       (26443*t[66])/96 + 10*t[69] - 6*t[70] + 6*t[71] + (15*t[72])/2 - 
       2*t[73] + (3*t[74])/2 + t[75] + (61*t[76])/6 + (17*t[77])/3 - 
       (134*t[78])/3 + 36*t[79] - 46*t[80] - (119*t[81])/3 + 
       (1001*t[82])/12 - (3*t[83])/2 - (6493*t[84])/96 - (5129*t[85])/96 - 
       (793*t[86])/6 + (2237*t[87])/32 - (323*t[88])/64 - (19901*t[89])/192 + 
       16*t[95] + 8*t[96] - (22*t[97])/3 + 79*t[98] - 87*t[99] - 
       (379*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((-307*t[1])/24 + (191*t[2])/24 - (1389*t[3])/32 + 
       (113*t[4])/6 - (12289*t[5])/192 - (2767*t[6])/96 + (15479*t[7])/96 - 
       (4399*t[8])/96 + (31897*t[9])/192 + (6403*t[10])/96 + 
       (16201*t[11])/96 + (30797*t[12])/192 + (379093*t[13])/1728 + 
       (2353*t[14])/192 - (41219*t[15])/1152 + 8*t[18] + 4*t[20] + 8*t[21] - 
       16*t[22] - 8*t[23] + 8*t[24] + 35*t[25] - (53*t[26])/3 - 
       (17*t[27])/3 - (38*t[28])/3 + (14*t[29])/3 + (71*t[30])/6 + 
       (17*t[32])/3 + (31*t[33])/3 + (26*t[34])/3 + 19*t[35] + 13*t[36] + 
       16*t[37] - 12*t[38] - (53*t[39])/3 - (16*t[40])/3 + (11*t[41])/3 + 
       t[42]/3 - (857*t[43])/48 + (16*t[44])/3 - (355*t[45])/24 - 
       (117*t[46])/4 + (269*t[47])/4 - (503*t[48])/12 + (455*t[49])/48 + 
       (51*t[50])/4 + (1105*t[51])/96 - (241*t[52])/12 - (503*t[53])/48 - 
       (613*t[54])/24 + (10*t[58])/3 + (113*t[59])/24 + (3373*t[60])/24 + 
       (13367*t[61])/24 - (10763*t[62])/24 - (1829*t[63])/24 + 
       (163*t[64])/4 + (24121*t[65])/144 - (87121*t[66])/144 + 10*t[69] - 
       14*t[70] + 14*t[71] - 8*t[72] + 8*t[73] - 40*t[74] - 18*t[75] + 
       (26*t[76])/3 + (47*t[77])/4 - (14*t[78])/3 + 28*t[79] - 
       (131*t[80])/12 + (31*t[81])/2 - (265*t[82])/8 + 83*t[83] - 
       (35*t[84])/8 + (71*t[85])/24 + (739*t[86])/4 - (295*t[87])/24 - 
       (295*t[88])/48 + (265*t[89])/16 + (2*t[97])/3 + 79*t[98] - 87*t[99] - 
       (379*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((23*t[1])/2 + (321*t[2])/4 + (1229*t[3])/96 + 
       (1865*t[4])/24 + (10927*t[5])/192 - (2423*t[6])/32 - (4085*t[7])/96 - 
       (10267*t[8])/96 - (13415*t[9])/192 + (3939*t[10])/32 + 
       (2279*t[11])/96 - (1997*t[12])/64 - (5375*t[13])/1728 + 
       (2371*t[14])/192 - (2321*t[15])/384 - (8*t[18])/3 + 4*t[19] - 
       2*t[20] + (4*t[21])/3 - 8*t[22] + 8*t[23] + (13*t[24])/3 - 
       (52*t[25])/3 + (37*t[26])/4 + (193*t[27])/6 + (4*t[28])/3 - 
       (4*t[29])/3 + (137*t[30])/6 - 28*t[31] - (7*t[32])/6 + (5*t[33])/6 + 
       (11*t[34])/4 - 35*t[35] - 5*t[36] - 18*t[37] + 6*t[38] + (5*t[39])/6 + 
       7*t[40] + (25*t[41])/8 - (107*t[42])/24 - (57*t[43])/16 + 
       (81*t[44])/4 + (359*t[45])/24 - (23*t[46])/4 - (733*t[47])/12 - 
       (1057*t[48])/48 + (3*t[49])/8 + (163*t[50])/48 - (103*t[51])/12 - 
       (743*t[52])/48 - (3*t[53])/8 - (175*t[54])/48 + 2*t[57] - 
       (29*t[58])/12 + (17*t[59])/6 + (1369*t[60])/24 - (1361*t[61])/8 + 
       33*t[62] + (101*t[63])/6 - (457*t[64])/8 - (28031*t[65])/144 - 
       (1085*t[66])/144 - 2*t[69] + (16*t[70])/3 - (16*t[71])/3 + 10*t[72] + 
       14*t[73] + (68*t[74])/3 - 32*t[75] + (415*t[76])/12 + (29*t[77])/12 - 
       (163*t[78])/3 + 20*t[79] - (181*t[80])/12 + (49*t[81])/12 + 
       (335*t[82])/24 - 66*t[83] + (151*t[84])/24 + (155*t[85])/24 - 
       (695*t[86])/12 - (651*t[87])/8 - (651*t[88])/16 - (3415*t[89])/48 + 
       (41*t[97])/12 + 151*t[98] - 103*t[99] - 145*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((-9*t[1])/4 - (91*t[2])/8 - 
       (135*t[3])/16 + (1873*t[4])/16 - (443*t[5])/16 + (3013*t[6])/32 - 
       (495*t[7])/16 + (3053*t[8])/16 + (391*t[9])/16 + (1333*t[10])/32 + 
       (2371*t[11])/32 - (1211*t[12])/32 + (13757*t[13])/288 + 
       (16427*t[14])/192 + (527*t[15])/32 + 2*t[18] - 2*t[19] + 8*t[21] - 
       3*t[22] - 8*t[23] + (31*t[24])/4 + t[25] - t[26] - 7*t[27] + 8*t[28] + 
       (25*t[29])/4 - (17*t[30])/2 - (3*t[31])/4 - 6*t[32] + 10*t[33] + 
       (9*t[34])/2 - 10*t[35] - (21*t[36])/2 + 8*t[37] - 4*t[38] + 5*t[39] - 
       16*t[40] + (3*t[41])/2 - t[42] - (151*t[43])/16 - (259*t[44])/8 - 
       (23*t[45])/2 - (15*t[46])/4 - (15*t[47])/4 + (1229*t[48])/32 + 
       (897*t[49])/32 - (823*t[50])/32 - (757*t[51])/64 + (1335*t[52])/32 - 
       (897*t[53])/32 + (285*t[54])/32 - 5*t[57] + (5*t[59])/4 + 
       (1699*t[60])/16 + (2927*t[61])/16 + (1093*t[62])/16 + (699*t[63])/16 - 
       (7495*t[64])/32 - (2123*t[65])/24 - (601*t[66])/8 - 6*t[69] + 
       2*t[70] - 2*t[71] + 3*t[72] - 11*t[73] + 20*t[74] + 40*t[75] - 
       (3*t[76])/2 + 7*t[77] + 20*t[78] - 21*t[79] - (117*t[80])/2 - 
       (15*t[81])/2 + 21*t[82] + (21*t[83])/4 + (129*t[84])/16 + 
       (125*t[85])/16 - (521*t[86])/4 - (1405*t[87])/16 - (1453*t[88])/32 - 
       (647*t[89])/32 + 2*t[95] + (5*t[97])/2 - 28*t[98] + 62*t[99] - 
       137*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
      ((13*t[1])/4 + (205*t[2])/8 + (65*t[3])/16 - (525*t[4])/16 + 
       (1817*t[5])/32 - (699*t[6])/32 + (477*t[7])/16 - (1415*t[8])/16 - 
       (1231*t[9])/32 - (465*t[10])/32 - (141*t[11])/32 + (23*t[12])/2 - 
       (1529*t[13])/288 - (5449*t[14])/192 + (2183*t[15])/192 + 2*t[20] + 
       4*t[24] - t[25] + t[26] + 7*t[27] + t[29] - (9*t[30])/2 - t[31] + 
       (9*t[32])/2 + (7*t[33])/2 - (13*t[34])/2 + 8*t[35] + (7*t[36])/2 - 
       3*t[37] + (3*t[38])/2 - t[39] + (9*t[40])/4 + (3*t[41])/2 - 
       (3*t[42])/2 + (21*t[43])/8 + (9*t[44])/2 - t[45]/4 + (9*t[46])/4 + 
       5*t[47] - (619*t[48])/32 + (151*t[49])/32 + (225*t[50])/32 - 
       (103*t[51])/64 - (337*t[52])/32 + (73*t[53])/32 - (575*t[54])/32 + 
       (7*t[59])/4 - (755*t[60])/8 + (367*t[61])/8 + (123*t[62])/16 + 
       (285*t[63])/16 + (31*t[64])/16 - (1411*t[65])/24 + (451*t[66])/24 - 
       4*t[72] - 22*t[73] - 3*t[74] + 29*t[75] + (15*t[76])/2 - 
       (17*t[77])/2 - (31*t[78])/2 + 3*t[79] + 24*t[80] - 10*t[81] + 
       (27*t[82])/2 + 22*t[83] - (175*t[84])/4 - (109*t[85])/4 - 53*t[86] + 
       (137*t[87])/4 + (125*t[88])/8 - (703*t[89])/16 + 2*t[95] + 9*t[96] + 
       8*t[97] - 28*t[98] + 62*t[99] - 137*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      (-5*t[3] - 2*t[4] + (3*t[5])/2 + t[6] - t[7] + 9*t[8] - (3*t[9])/2 + 
       5*t[10] - t[11] - (7*t[12])/2 + t[13]/2 + (23*t[14])/2 + 
       (41*t[15])/12 - 4*t[29] - 16*t[60] + 6*t[61] + 4*t[62] - 4*t[64] + 
       (26*t[65])/3 + 2*t[66] - 2*t[82] + 8*t[83] + 8*t[87] + 4*t[88] - 
       20*t[99] - 125*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(6*t[1] - 14*t[2] - (161*t[3])/6 + (91*t[4])/3 - 
       (353*t[5])/4 + (61*t[6])/4 - (913*t[7])/12 + (17*t[8])/12 + 
       (164*t[9])/3 + (307*t[10])/12 + (43*t[11])/6 + (79*t[12])/4 + 
       (571*t[13])/24 + (965*t[14])/36 - (595*t[15])/36 + (20*t[19])/3 + 
       8*t[21] - 8*t[23] + 4*t[24] + 2*t[25] + 6*t[27] + 4*t[28] - 4*t[30] - 
       26*t[31] - 4*t[32] - 4*t[37] - 2*t[38] + 8*t[39] + 4*t[40] + 
       11*t[41] - 11*t[42] - (67*t[43])/12 + 6*t[44] - (55*t[45])/2 + 
       10*t[46] + 31*t[47] + 34*t[48] - (83*t[49])/6 - (58*t[50])/3 + 
       (31*t[51])/6 + (58*t[52])/3 + (83*t[53])/6 + (173*t[54])/3 + 8*t[59] + 
       (35*t[60])/2 + 15*t[61] + (77*t[62])/6 + (721*t[63])/6 + 
       (325*t[64])/3 + (304*t[65])/9 - (245*t[66])/18 - 8*t[69] + 2*t[72] - 
       24*t[74] + 4*t[75] + t[77] - 2*t[78] + 30*t[79] + 26*t[80] + 
       20*t[81] - 20*t[82] - (130*t[83])/3 + (83*t[84])/3 - (17*t[85])/3 - 
       (137*t[86])/3 - (53*t[87])/3 - (53*t[88])/6 + (373*t[89])/12 - 
       20*t[99] - 125*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*((23*t[1])/4 + (7*t[2])/4 - (649*t[3])/16 + 
       (67*t[4])/16 + (605*t[5])/8 - (349*t[6])/32 + (727*t[7])/16 + 
       (91*t[8])/16 - (31*t[9])/8 + (609*t[10])/32 + (4483*t[11])/32 - 
       (557*t[12])/32 + (11459*t[13])/288 + (3183*t[14])/64 + 
       (2759*t[15])/48 - t[19] + t[21] - 4*t[22] - t[23] - (19*t[24])/2 - 
       (21*t[25])/2 + 9*t[26] + (17*t[27])/2 + 9*t[28] - (11*t[29])/4 + 
       (3*t[30])/2 - 20*t[31] - 3*t[32] - t[33]/2 + (7*t[34])/2 - 30*t[35] - 
       3*t[36] + 10*t[37] + (9*t[39])/2 - (7*t[40])/2 - (7*t[41])/4 + 
       (7*t[42])/4 + (361*t[43])/16 + (7*t[44])/8 + (69*t[45])/8 + 
       (21*t[46])/2 - (75*t[47])/4 - (689*t[48])/32 - (287*t[49])/32 + 
       (675*t[50])/32 - (283*t[51])/64 - (627*t[52])/32 + (303*t[53])/32 - 
       (1077*t[54])/32 - 3*t[57] + t[58]/2 + (71*t[59])/4 + (593*t[60])/16 + 
       (3719*t[61])/16 - (2573*t[62])/32 - (995*t[63])/32 - (1577*t[64])/32 - 
       (973*t[65])/16 - (7687*t[66])/48 + 6*t[69] - 2*t[72] + 9*t[73] + 
       5*t[74] - 7*t[75] - t[76]/2 + 5*t[77] + 4*t[78] + 15*t[80] + 
       (9*t[81])/2 - (43*t[82])/2 - t[83]/2 + (419*t[84])/16 + 
       (147*t[85])/16 + 29*t[86] - (643*t[87])/16 - (643*t[88])/32 - 
       (1325*t[89])/32 + (11*t[97])/2 + 62*t[98] - 42*t[99] - 124*t[100])*
      \[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - u]*(-4*t[1] + 40*t[2] - 
       (115*t[3])/2 + (569*t[4])/2 - (379*t[5])/2 - (9*t[6])/4 + 211*t[7] - 
       206*t[8] + 330*t[9] - (1695*t[10])/4 + (1545*t[11])/4 + 
       (431*t[12])/4 + (883*t[13])/9 + (1475*t[14])/24 - (101*t[15])/9 + 
       16*t[18] + 8*t[19] + 8*t[21] + 4*t[22] - 24*t[23] - 36*t[24] - 
       36*t[25] + 44*t[26] + 20*t[27] + 6*t[29] + 16*t[31] - 8*t[32] - 
       28*t[33] + 24*t[34] + 32*t[35] - 16*t[36] - 16*t[37] - 20*t[38] + 
       20*t[39] - 44*t[40] + 22*t[41] + 10*t[42] - 59*t[43] - t[44] - 
       12*t[45] + 34*t[46] + 32*t[47] - (431*t[48])/4 - (117*t[49])/4 + 
       (421*t[50])/4 - (129*t[51])/8 - (213*t[52])/4 + (133*t[53])/4 - 
       (347*t[54])/4 - 16*t[57] + 12*t[58] - 14*t[59] + 152*t[60] - 
       56*t[61] + 19*t[62] - 171*t[63] + 41*t[64] + (520*t[65])/3 + 
       (172*t[66])/3 - 8*t[70] + 8*t[71] - 8*t[74] + 48*t[76] - 32*t[77] - 
       24*t[78] - 24*t[80] + 28*t[81] - 4*t[82] + 22*t[84] + 44*t[85] + 
       116*t[86] - 112*t[87] - 56*t[88] + 102*t[89] + 288*t[98] - 288*t[99] - 
       120*t[100])*\[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - w]*
      (4*t[1] + 58*t[2] + (215*t[3])/2 - 79*t[4] + (837*t[5])/4 - 
       (393*t[6])/4 + (175*t[7])/2 + (49*t[8])/2 - (503*t[9])/4 + 140*t[10] - 
       (487*t[11])/4 - (499*t[12])/4 - (2713*t[13])/36 - (4079*t[14])/12 - 
       (2233*t[15])/72 + 8*t[24] - 28*t[25] + 32*t[26] + 20*t[27] - 
       24*t[28] - 4*t[29] - 16*t[30] - 8*t[31] + 16*t[32] - 8*t[33] - 
       12*t[34] - 12*t[35] + 36*t[36] + 36*t[37] - 30*t[40] + 6*t[41] - 
       6*t[42] - 15*t[43] + 6*t[44] - 5*t[45] - 42*t[46] + 26*t[47] - 
       (109*t[48])/4 + (243*t[49])/2 + (191*t[50])/4 - (179*t[51])/4 - 
       (143*t[52])/4 - (175*t[53])/2 - (575*t[54])/4 + 4*t[58] + 2*t[59] - 
       (847*t[60])/2 - (1039*t[61])/2 + (187*t[62])/4 - (771*t[63])/4 + 
       (1657*t[64])/4 + (371*t[65])/6 + (3221*t[66])/6 + 8*t[70] - 8*t[71] - 
       4*t[74] - 104*t[75] + 52*t[76] - 128*t[78] + 144*t[79] - 52*t[80] - 
       42*t[81] + 78*t[82] + 144*t[83] - (255*t[84])/2 + (15*t[85])/2 + 
       222*t[86] + (589*t[87])/2 + (141*t[88])/4 + (795*t[89])/4 + 8*t[95] + 
       56*t[96] + 12*t[97] + 288*t[98] - 288*t[99] - 120*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*((-5*t[1])/2 + (195*t[2])/4 - 
       (211*t[3])/8 - 8*t[4] - (346*t[5])/3 + (2599*t[6])/48 + (197*t[7])/8 + 
       (1129*t[8])/24 + (1033*t[9])/6 + (667*t[10])/8 - (3773*t[11])/48 + 
       (409*t[12])/6 - (6887*t[13])/144 + (20227*t[14])/144 - 
       (1373*t[15])/48 + 4*t[18] + 2*t[19] - 8*t[20] + 2*t[21] - t[22] - 
       10*t[23] - (2*t[24])/3 + 2*t[25] - 4*t[26] - 12*t[28] + t[29]/2 - 
       9*t[30] + (16*t[31])/3 - 11*t[32] - t[33] + 4*t[34] + 12*t[35] - 
       t[36] - 2*t[37] - t[38] - 6*t[39] - 3*t[40] + 5*t[41] - (20*t[42])/3 - 
       (827*t[43])/24 - (77*t[44])/4 + 5*t[45] + 5*t[46] - 27*t[47] - 
       (1117*t[48])/48 - (70*t[49])/3 - (1169*t[50])/48 - (91*t[51])/12 + 
       (977*t[52])/48 + (70*t[53])/3 + (1299*t[54])/16 - 2*t[57] - t[58] + 
       (17*t[59])/3 + (911*t[60])/8 + (6097*t[61])/24 - (407*t[62])/3 - 
       (35*t[63])/4 - (3147*t[64])/16 + (1457*t[65])/36 - (4795*t[66])/72 + 
       4*t[72] + 12*t[73] + 4*t[74] + 12*t[75] + 12*t[76] - t[77]/2 - 
       13*t[78] - 15*t[79] - (125*t[80])/2 + 17*t[81] - (31*t[82])/2 + 
       (5*t[83])/3 + (905*t[84])/24 + (1129*t[85])/24 - (1037*t[86])/12 - 
       (2353*t[87])/24 - (2353*t[88])/48 + (253*t[89])/16 + t[97] + 
       64*t[98] - 60*t[99] - 119*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*(-4*t[1] + 15*t[2] + 
       (33*t[3])/2 + (3*t[4])/4 + (89*t[5])/8 - (113*t[6])/2 + (17*t[7])/2 + 
       65*t[8] - (131*t[9])/8 - (743*t[10])/8 + (37*t[11])/2 - (45*t[12])/4 - 
       (55*t[13])/36 - (1235*t[14])/48 - (997*t[15])/144 + 6*t[24] + t[25] + 
       t[26] + 15*t[27] - 4*t[28] - 10*t[29] - 10*t[31] + 4*t[32] + 2*t[33] - 
       t[34] + 26*t[35] + 19*t[36] + t[37] - 5*t[38] + 14*t[40] + t[41]/2 - 
       t[42]/2 - t[43] + t[44] - 17*t[45] + 4*t[46] + 38*t[47] - 
       (15*t[48])/4 + (215*t[49])/8 - (49*t[50])/4 - (71*t[51])/16 + 
       (21*t[52])/4 - (7*t[53])/8 + (41*t[54])/2 + (7*t[59])/2 - 
       (91*t[60])/2 + 89*t[61] - (65*t[62])/2 + (31*t[63])/2 + 
       (965*t[64])/4 - (251*t[65])/4 - (1273*t[66])/12 + 4*t[70] - 4*t[71] + 
       6*t[72] + 8*t[73] - 19*t[74] + 18*t[75] - 9*t[76] - 17*t[77] + 
       43*t[78] - 22*t[79] + 40*t[80] + (13*t[81])/2 + (33*t[82])/2 + 
       62*t[83] - (243*t[84])/4 - (65*t[85])/2 + 106*t[86] + (101*t[87])/2 + 
       24*t[88] - (157*t[89])/4 - 6*t[95] + t[97] + 64*t[98] - 60*t[99] - 
       119*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((11*t[1])/2 - (7*t[2])/3 + (37*t[3])/6 - (389*t[4])/24 - 
       (35*t[5])/12 - 12*t[6] + (75*t[7])/2 - (37*t[8])/6 + (245*t[9])/12 + 
       (69*t[10])/16 + (287*t[11])/12 + (421*t[12])/16 - (1159*t[13])/72 + 
       (3389*t[14])/288 - (1463*t[15])/144 - (20*t[25])/3 + (10*t[26])/3 + 
       (8*t[27])/3 - (4*t[28])/3 - (8*t[29])/3 + (32*t[30])/3 - 
       (56*t[31])/3 + t[34]/3 - 16*t[35] - 6*t[36] - 6*t[37] + 3*t[38] - 
       (2*t[39])/3 + (2*t[40])/3 - t[41]/6 + t[42]/6 - (10*t[43])/3 + 
       (2*t[44])/3 + (19*t[46])/6 - (39*t[48])/2 - (161*t[49])/16 + 
       (13*t[50])/2 + (803*t[51])/96 - (49*t[52])/6 + (177*t[53])/16 + 
       (39*t[54])/8 - t[58]/3 + (14*t[59])/3 + (365*t[60])/24 + 
       (23*t[61])/8 - (4175*t[62])/48 - (923*t[63])/16 + (3641*t[64])/48 - 
       (1633*t[65])/72 - (111*t[66])/8 + 8*t[72] - 2*t[74] - 20*t[75] + 
       (37*t[76])/3 + t[77]/3 - (124*t[78])/3 + 14*t[79] + 10*t[80] - 
       (4*t[81])/3 - (23*t[82])/3 + 14*t[83] - (161*t[84])/24 - 
       (73*t[85])/24 + (272*t[86])/3 - (251*t[87])/8 - (251*t[88])/16 - 
       (865*t[89])/48 + t[97]/3 + 76*t[98] - 84*t[99] - 103*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(-7*t[1] + (107*t[2])/12 + (43*t[3])/4 - 
       (589*t[4])/6 + (301*t[5])/6 - (11*t[6])/2 - (19*t[7])/6 - 
       (273*t[8])/4 - (331*t[9])/12 + (183*t[10])/4 - (173*t[11])/2 + 
       (643*t[12])/12 - (71*t[13])/36 - (7721*t[14])/144 + (331*t[15])/9 + 
       2*t[19] + 2*t[21] - 2*t[23] - 4*t[24] + (7*t[25])/3 + (13*t[26])/3 + 
       (25*t[27])/3 + (16*t[28])/3 - (10*t[29])/3 + (22*t[30])/3 - 
       (32*t[31])/3 + 3*t[32] - 7*t[33] + t[34]/3 - 24*t[35] - 3*t[36] + 
       22*t[37] - 5*t[38] + (14*t[39])/3 - (25*t[40])/3 + (5*t[41])/6 - 
       (5*t[42])/6 - (19*t[43])/3 + (10*t[44])/3 + (65*t[45])/4 + 
       (26*t[46])/3 - (67*t[47])/2 - (55*t[48])/6 - 43*t[49] + (5*t[50])/6 + 
       (321*t[51])/16 - (5*t[52])/2 + 45*t[53] + (163*t[54])/4 - t[58]/3 + 
       (61*t[59])/6 - (61*t[60])/8 + (253*t[61])/8 + (3581*t[62])/24 - 
       (2587*t[63])/24 - (2441*t[64])/16 + (142*t[65])/3 + (2483*t[66])/72 - 
       2*t[69] + (8*t[72])/3 + 4*t[73] + 28*t[74] - 12*t[75] + (13*t[76])/3 + 
       (47*t[77])/6 - (34*t[78])/3 + 15*t[79] - (71*t[80])/2 + (10*t[81])/3 + 
       (3*t[82])/2 - (118*t[83])/3 + (5*t[84])/8 + (103*t[85])/24 - 
       (1675*t[86])/12 - (665*t[87])/24 - (665*t[88])/48 - (95*t[89])/16 + 
       t[97]/3 + 68*t[98] - 44*t[99] - 96*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      (-8*t[1] - (15*t[2])/4 + (5*t[3])/2 + (499*t[4])/8 + (133*t[5])/8 + 
       (151*t[6])/8 - (71*t[7])/4 - (211*t[8])/4 - (173*t[9])/8 + 
       (31*t[10])/16 + (265*t[11])/8 - (343*t[12])/16 + (1351*t[13])/72 + 
       (1063*t[14])/32 - (67*t[15])/6 + 3*t[25] + 2*t[26] - 6*t[27] + 
       3*t[28] + 8*t[31] - 9*t[35] + 6*t[36] - t[37] - 6*t[38] + 3*t[39] + 
       3*t[40] + 6*t[45] - (5*t[46])/2 - 12*t[47] - (39*t[48])/8 - 
       (135*t[49])/16 + (105*t[50])/8 - (29*t[51])/32 - (105*t[52])/8 - 
       (345*t[53])/16 - (65*t[54])/2 - 7*t[59] + (89*t[60])/8 + 
       (301*t[61])/8 - (259*t[62])/16 + (83*t[63])/16 - (2407*t[64])/16 - 
       (693*t[65])/8 - (2599*t[66])/24 - 6*t[69] - 12*t[73] + 4*t[74] - 
       33*t[75] + 6*t[76] - 3*t[77] - 18*t[78] + 24*t[79] - 11*t[80] + 
       (33*t[81])/2 - (33*t[82])/2 + 24*t[83] + (135*t[84])/8 + 
       (81*t[85])/8 - 92*t[86] - (147*t[87])/8 - (235*t[88])/16 - 
       (357*t[89])/16 - 72*t[98] + 58*t[99] - 90*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*((35*t[2])/2 + 21*t[3] - 
       12*t[4] + (139*t[5])/2 - t[6]/4 - (395*t[7])/2 + (143*t[8])/2 - 
       (341*t[9])/2 + 104*t[10] + (21*t[11])/4 - (131*t[12])/2 + 
       (61*t[13])/4 - (99*t[14])/2 - (103*t[15])/12 + 2*t[18] + 8*t[19] - 
       22*t[21] + 24*t[23] + 6*t[24] - 8*t[27] - 60*t[31] - 44*t[35] - 
       2*t[37] - 3*t[41] + 3*t[42] - 15*t[43] - 6*t[44] + 74*t[45] + 
       2*t[46] - 112*t[47] + (319*t[48])/4 + (11*t[49])/2 + (43*t[50])/4 + 
       (27*t[51])/4 - (43*t[52])/4 - (11*t[53])/2 + (33*t[54])/4 - 
       (299*t[60])/2 + (93*t[61])/2 - (63*t[62])/2 + (147*t[63])/2 + 
       (679*t[64])/4 - (178*t[65])/3 + (106*t[66])/3 - 10*t[69] + 32*t[70] - 
       32*t[71] - 6*t[74] + 2*t[78] + 51*t[79] - 18*t[80] - 10*t[81] + 
       22*t[82] - 17*t[83] - (13*t[84])/2 - (169*t[85])/2 - 57*t[86] + 
       (287*t[87])/2 + (287*t[88])/4 + (27*t[89])/4 - 78*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*((-77*t[1])/24 - (55*t[2])/24 - 
       (349*t[3])/32 - (217*t[4])/24 + (5135*t[5])/192 - (1663*t[6])/96 + 
       (1295*t[7])/96 - (991*t[8])/96 - (1463*t[9])/192 + (2089*t[10])/96 + 
       (2257*t[11])/96 - (967*t[12])/192 + (37309*t[13])/1728 + 
       (753*t[14])/64 + (5911*t[15])/384 - (5*t[26])/3 + (10*t[27])/3 - 
       (5*t[28])/3 - (10*t[29])/3 + (4*t[30])/3 - (10*t[32])/3 + 
       (10*t[33])/3 + (5*t[34])/3 - 5*t[35] - (25*t[39])/6 + (14*t[40])/3 - 
       (5*t[41])/6 + (5*t[42])/6 + (187*t[43])/48 + (17*t[44])/6 - 
       (61*t[45])/24 + t[46]/4 + (7*t[47])/4 - (179*t[48])/12 + 
       (31*t[49])/6 - (5*t[50])/4 - (43*t[51])/48 - (85*t[52])/12 - 
       (31*t[53])/6 - (107*t[54])/12 - (5*t[58])/3 + t[59]/8 + (44*t[60])/3 + 
       (391*t[61])/12 - (1771*t[62])/48 + (2003*t[63])/48 + (11*t[64])/16 - 
       (1997*t[65])/144 - (3259*t[66])/144 + (35*t[76])/3 + (27*t[77])/4 - 
       (20*t[78])/3 + (217*t[80])/12 + 5*t[81] - (29*t[82])/8 - (5*t[84])/2 + 
       (65*t[85])/6 + (113*t[86])/4 - (145*t[87])/6 - (145*t[88])/12 - 
       (59*t[89])/4 + (5*t[97])/3 + 85*t[98] - 53*t[99] - 74*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      (2*t[1] + (659*t[2])/24 + (1195*t[3])/48 - (1819*t[4])/96 + 
       (1625*t[5])/48 - (1683*t[6])/32 + (143*t[7])/16 - (1615*t[8])/48 + 
       (565*t[9])/48 + (2639*t[10])/64 - (1711*t[11])/96 - (1453*t[12])/64 - 
       (199*t[13])/8 - (22037*t[14])/1152 - (3847*t[15])/576 - 2*t[19] - 
       2*t[20] - 4*t[21] + 2*t[22] + 4*t[23] + (3*t[24])/2 - (11*t[25])/6 - 
       (73*t[26])/12 + (25*t[27])/3 - (35*t[28])/3 - (19*t[29])/12 - 
       (14*t[30])/3 - (25*t[31])/3 - t[32] - (29*t[33])/2 + (25*t[34])/6 - 
       t[35] + (15*t[36])/2 + 9*t[37] + (31*t[38])/4 + (7*t[39])/6 + 
       (11*t[40])/6 - (55*t[41])/12 + (55*t[42])/12 - (329*t[43])/48 - 
       (91*t[44])/24 + (25*t[45])/8 + (53*t[46])/24 - (43*t[47])/4 - 
       (559*t[48])/32 - (239*t[49])/64 + (197*t[50])/32 + (1513*t[51])/384 - 
       (767*t[52])/96 + (351*t[53])/64 + (37*t[54])/8 + t[57] - 
       (13*t[58])/6 - (79*t[59])/24 - (1277*t[60])/96 - (1739*t[61])/32 - 
       (13393*t[62])/192 + (3131*t[63])/64 + (11371*t[64])/192 - 
       (14339*t[65])/288 + (881*t[66])/96 + t[69] - (5*t[72])/2 - 3*t[73] + 
       (9*t[74])/2 - 23*t[75] + (50*t[76])/3 + t[77]/6 - (122*t[78])/3 + 
       (45*t[79])/2 - 6*t[80] - (43*t[81])/6 + (119*t[82])/12 + 20*t[83] - 
       (751*t[84])/96 + (1117*t[85])/96 + (311*t[86])/6 - (581*t[87])/32 - 
       (581*t[88])/64 - (5687*t[89])/192 + (19*t[97])/6 + 85*t[98] - 
       53*t[99] - 74*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*(20*t[1] + (75*t[2])/2 - (217*t[3])/12 - 
       (2083*t[4])/12 - (533*t[5])/24 + (2743*t[6])/24 + (95*t[7])/12 + 
       (813*t[8])/4 + (681*t[9])/8 - (1001*t[10])/24 - (5711*t[11])/24 - 
       (1013*t[12])/12 - (38341*t[13])/216 - (4115*t[14])/144 + 
       (163*t[15])/48 + 4*t[24] - (58*t[25])/3 + (14*t[26])/3 - 2*t[27] + 
       20*t[28] - 6*t[29] + 4*t[30] + 4*t[31] + 2*t[32] + 2*t[33] + 
       (98*t[36])/3 + (74*t[37])/3 + (40*t[38])/3 + (46*t[39])/3 - 27*t[40] - 
       (17*t[43])/2 - 11*t[44] - (59*t[45])/3 - 5*t[46] + (124*t[47])/3 + 
       (1939*t[48])/24 + (21*t[49])/8 + (1567*t[50])/24 + (141*t[51])/16 - 
       (21*t[52])/8 + (283*t[53])/8 + (3359*t[54])/24 + 2*t[58] - 
       (34*t[59])/3 - (739*t[60])/3 - (1513*t[61])/6 + (824*t[62])/3 + 
       190*t[63] + (1685*t[64])/12 - (1108*t[65])/9 + (1543*t[66])/6 - 
       (64*t[70])/3 + (64*t[71])/3 + 6*t[72] - 16*t[73] + (16*t[74])/3 + 
       20*t[75] - (76*t[76])/3 - (37*t[77])/3 + 42*t[78] + 22*t[79] - 
       (104*t[80])/3 - (94*t[81])/3 + 86*t[82] + 40*t[83] - (91*t[84])/2 - 
       (39*t[85])/2 - (350*t[86])/3 + (473*t[87])/2 + (331*t[88])/12 - 
       59*t[89] + (40*t[95])/3 + (64*t[96])/3 - (94*t[97])/3 - 112*t[98] + 
       192*t[99] - 70*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((70*t[1])/3 - (239*t[2])/6 - (1397*t[3])/12 + 
       53*t[4] - (427*t[5])/3 + (4039*t[6])/24 + (1433*t[7])/6 + 
       (533*t[8])/2 + (1201*t[9])/4 - (1261*t[10])/6 + (8737*t[11])/24 + 
       (653*t[12])/6 + (5119*t[13])/36 + (4373*t[14])/24 - (971*t[15])/36 + 
       (64*t[18])/3 + 4*t[19] - 12*t[20] + (52*t[21])/3 + 12*t[22] - 
       12*t[23] + (40*t[24])/3 + (14*t[25])/3 - (10*t[26])/3 - (14*t[27])/3 - 
       20*t[28] + 5*t[29] - 6*t[30] - 4*t[31] - (58*t[32])/3 - 10*t[33] + 
       (106*t[34])/3 + 4*t[35] - 2*t[36] - 4*t[37] + 14*t[38] + 4*t[39] - 
       (8*t[40])/3 + (37*t[41])/3 - (11*t[42])/3 - (178*t[43])/3 - 
       (83*t[44])/6 - (11*t[45])/2 + 13*t[46] + (299*t[47])/3 + 
       (557*t[48])/24 - (77*t[49])/3 + (569*t[50])/24 + (65*t[51])/4 - 
       (1529*t[52])/24 + (77*t[53])/3 - (577*t[54])/24 - 4*t[57] + 16*t[58] - 
       (53*t[59])/3 + (1497*t[60])/4 + (6845*t[61])/12 - (12013*t[62])/24 - 
       (14747*t[63])/24 + (3707*t[64])/8 + (1201*t[65])/4 - 
       (15889*t[66])/36 - (128*t[70])/3 + (128*t[71])/3 + 24*t[72] + 
       4*t[73] + (140*t[74])/3 + 20*t[75] + (50*t[76])/3 - (46*t[77])/3 + 
       (64*t[78])/3 - 12*t[79] + (538*t[80])/3 - (26*t[81])/3 - 
       (38*t[82])/3 + 18*t[83] + (845*t[84])/12 - (265*t[85])/4 + 
       (601*t[86])/3 - (205*t[87])/12 - (205*t[88])/24 + (3409*t[89])/24 - 
       6*t[97] - 112*t[98] + 192*t[99] - 70*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((5*t[1])/2 + (121*t[2])/4 - (175*t[3])/12 + (29*t[4])/24 + 
       (199*t[5])/6 + (65*t[6])/16 + (151*t[7])/6 + (265*t[8])/12 - 
       (25*t[9])/8 + (365*t[10])/16 - (367*t[11])/48 - (133*t[12])/48 - 
       (45*t[13])/4 + (447*t[14])/32 + (1225*t[15])/72 + 4*t[24] - 2*t[25] + 
       t[26] + (28*t[27])/3 + (7*t[28])/3 - (19*t[29])/3 - (20*t[30])/3 - 
       19*t[31] + t[32] + 4*t[33] - 29*t[35] - 9*t[36] + 8*t[37] + 2*t[38] + 
       (2*t[39])/3 + t[40]/2 + t[41]/2 - t[42]/2 - (3*t[43])/2 - 
       (5*t[44])/3 - t[45] + 4*t[47] - (283*t[48])/48 + (51*t[49])/16 + 
       (113*t[50])/48 - (205*t[51])/96 - (209*t[52])/48 + (13*t[53])/16 + 
       (231*t[54])/16 + (7*t[59])/2 - (91*t[60])/24 + (317*t[61])/8 + 
       (347*t[62])/16 - (673*t[63])/48 - (1549*t[64])/48 - (2287*t[65])/72 + 
       (1903*t[66])/72 + (7*t[72])/3 - 18*t[73] + 3*t[74] - 9*t[75] - 
       2*t[76] - 2*t[77] - 22*t[78] + 2*t[80] - t[81]/6 + (5*t[82])/6 + 
       (131*t[83])/6 + (121*t[84])/24 - (77*t[85])/24 - 40*t[86] - 
       (115*t[87])/24 + (77*t[88])/48 - (373*t[89])/48 + 3*t[96] + 2*t[97] - 
       16*t[98] + 26*t[99] - 68*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (20*t[1] - 34*t[2] - (139*t[3])/24 + (323*t[4])/12 + (717*t[5])/16 + 
       63*t[6] - (85*t[7])/24 + (1625*t[8])/24 - (4451*t[9])/48 - 
       (1459*t[10])/12 + (1285*t[11])/12 - (1363*t[12])/16 + 
       (2377*t[13])/144 + (215*t[14])/18 + (11105*t[15])/288 + 8*t[24] - 
       3*t[25] - 7*t[27] + 4*t[28] + 10*t[31] - 4*t[32] - 9*t[35] - 5*t[37] + 
       3*t[38] + 4*t[39] + 4*t[40] + 4*t[41] - 4*t[42] + (343*t[43])/12 - 
       10*t[44] - 17*t[45] + (9*t[46])/2 + 30*t[47] + (71*t[48])/8 + 
       (443*t[49])/24 - (43*t[50])/24 + (511*t[51])/48 + (43*t[52])/24 - 
       (443*t[53])/24 - (331*t[54])/24 + (3*t[59])/2 - (11*t[60])/2 + 
       (137*t[61])/2 - (407*t[62])/24 + (503*t[63])/24 + (2333*t[64])/12 - 
       (1943*t[65])/18 - (2063*t[66])/36 - 6*t[69] - 10*t[73] + 7*t[74] + 
       6*t[75] - 12*t[76] + t[77] + 6*t[78] - (99*t[79])/2 + 88*t[80] + 
       19*t[81] - (37*t[82])/2 + (173*t[83])/6 - (71*t[84])/12 + 
       (83*t[85])/12 + (205*t[86])/6 + (431*t[87])/12 + (431*t[88])/24 + 
       (133*t[89])/6 - 72*t[98] + 58*t[99] - 66*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((-3*t[1])/4 - (33*t[2])/8 - (285*t[3])/16 + (649*t[4])/16 + 
       (583*t[5])/24 - (2825*t[6])/96 + (405*t[7])/16 - (1057*t[8])/48 - 
       (203*t[9])/24 - (43*t[10])/32 + (7301*t[11])/96 + (301*t[12])/96 + 
       (17893*t[13])/288 - (26675*t[14])/576 + (607*t[15])/48 - 3*t[19] + 
       3*t[20] + 3*t[21] + t[22] - 3*t[23] - (13*t[24])/6 + 2*t[25] + 
       5*t[27] + 2*t[28] - (9*t[29])/4 + (13*t[30])/2 - (59*t[31])/3 + 
       (5*t[32])/2 + 4*t[33] - 7*t[34] - 37*t[35] + t[36]/2 + 9*t[37] - 
       (7*t[39])/2 + (7*t[40])/2 - t[41]/2 + t[42]/2 + (161*t[43])/48 + 
       (73*t[44])/8 - 6*t[45] - t[46]/4 + (109*t[47])/4 - (737*t[48])/96 - 
       (509*t[49])/96 + (1715*t[50])/96 + (377*t[51])/192 - (1907*t[52])/96 + 
       (509*t[53])/96 - (1211*t[54])/32 + t[57] + (21*t[59])/4 - 
       (501*t[60])/16 - (1009*t[61])/48 + (1703*t[62])/96 - (3649*t[63])/32 + 
       (317*t[64])/32 - (3637*t[65])/144 - (1063*t[66])/18 - 2*t[69] + 
       2*t[72] + 10*t[73] - t[74] - 32*t[75] + 2*t[76] - (7*t[77])/4 - 
       11*t[78] - t[79] + (129*t[80])/4 + (9*t[81])/2 - (67*t[82])/4 + 
       (53*t[83])/3 - (425*t[84])/48 - (781*t[85])/48 + (1721*t[86])/24 + 
       (1885*t[87])/48 + (1885*t[88])/96 - (603*t[89])/32 - 2*t[97] + 
       16*t[98] - 34*t[99] - 59*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (4*t[99] - 58*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(12*t[1] - (4*t[3])/3 - (263*t[4])/3 + 49*t[5] - 
       (7*t[6])/4 - (106*t[7])/3 + (248*t[8])/3 - (169*t[9])/3 + 
       (215*t[10])/6 + (467*t[11])/12 - (353*t[13])/18 - (397*t[14])/36 + 
       (419*t[15])/9 - 4*t[25] + 4*t[27] + 6*t[29] - 22*t[31] - 28*t[35] - 
       4*t[37] + 4*t[38] + (41*t[43])/3 - 13*t[44] + 4*t[45] + 17*t[46] - 
       8*t[47] + (133*t[48])/4 - (293*t[49])/6 - (73*t[50])/12 + 
       (44*t[51])/3 + (73*t[52])/12 + (293*t[53])/6 + (605*t[54])/12 - 
       4*t[59] - (31*t[60])/2 + (69*t[61])/2 + (85*t[62])/3 - (382*t[63])/3 + 
       (295*t[64])/12 + (1553*t[65])/18 + (517*t[66])/18 + 34*t[74] + 
       4*t[75] + 4*t[78] + 28*t[79] + 24*t[80] + t[81] + 3*t[82] - 
       (52*t[83])/3 + (26*t[84])/3 - (151*t[85])/6 - (74*t[86])/3 + 
       (23*t[87])/6 + (23*t[88])/12 - (257*t[89])/12 + 4*t[99] - 58*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      (6*t[99] - (103*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*((5*t[1])/4 + (45*t[2])/2 - 
       (469*t[3])/48 + (419*t[4])/6 - (2029*t[5])/48 + (125*t[6])/32 - 
       (1225*t[7])/48 - (167*t[8])/48 + (73*t[9])/16 + (107*t[10])/16 + 
       (5503*t[11])/96 - (655*t[12])/48 + (3985*t[13])/96 + (909*t[14])/32 + 
       (1837*t[15])/144 + 2*t[19] - 4*t[20] + 2*t[22] + (13*t[24])/2 + 
       t[25] + (53*t[27])/6 + (10*t[28])/3 - (13*t[29])/12 + (22*t[30])/3 - 
       2*t[31] - (11*t[32])/2 + t[33] + t[34] - 7*t[35] + (3*t[36])/2 - 
       9*t[37] - t[38] + (31*t[39])/6 + (9*t[40])/2 - (3*t[43])/16 + 
       (179*t[44])/24 + (5*t[45])/2 + t[46] - (27*t[47])/2 + (907*t[48])/96 + 
       (5*t[49])/4 - (545*t[50])/96 - (17*t[51])/12 + (353*t[52])/96 - 
       (5*t[53])/4 - (5*t[54])/32 + t[57] + (7*t[59])/4 + (175*t[60])/48 + 
       (85*t[61])/16 + (149*t[62])/8 + (133*t[63])/6 - (539*t[64])/96 - 
       (2155*t[65])/72 - (9055*t[66])/144 + (22*t[72])/3 + (5*t[73])/2 - 
       4*t[74] - (11*t[75])/2 + 2*t[76] - (7*t[77])/4 - (27*t[78])/2 + 
       6*t[79] + (15*t[80])/4 + (11*t[81])/6 - (107*t[82])/12 - 
       (17*t[83])/3 + (365*t[84])/48 - (31*t[85])/48 - (267*t[86])/8 + 
       (91*t[87])/48 + (91*t[88])/96 - (23*t[89])/96 - 12*t[98] + 22*t[99] - 
       49*t[100])*\[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - u]*
      (6*t[3] + 42*t[4] + 48*t[5] - 9*t[6] - 183*t[7] - 39*t[8] - 237*t[9] + 
       309*t[10] - 192*t[11] - 96*t[12] - (503*t[13])/6 + 4*t[14] + 
       (209*t[15])/2 - 9*t[43] + 156*t[45] - 312*t[47] + 60*t[60] - 
       120*t[61] + 243*t[62] - 3*t[63] - 759*t[64] + 104*t[65] + 384*t[66] - 
       348*t[80] - 468*t[86] + 60*t[89] - 96*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{0, 1, 1, 1, 1}, 1 - w]*(-330*t[2] - 40*t[3] + 306*t[4] - 352*t[5] + 
       308*t[6] + 96*t[7] + 600*t[8] + 192*t[9] - 675*t[10] + 128*t[11] + 
       67*t[12] + (1778*t[13])/9 - (1456*t[14])/3 - (401*t[15])/3 - 8*t[19] + 
       96*t[21] - 112*t[23] - 32*t[27] + 144*t[35] - 24*t[37] + 72*t[41] - 
       72*t[42] - 280*t[45] - 16*t[46] + 560*t[47] + 76*t[48] + 117*t[49] - 
       100*t[50] + 59*t[51] + 100*t[52] - 117*t[53] + 34*t[54] - 170*t[60] - 
       248*t[61] - 18*t[62] - 410*t[63] + 1137*t[64] + (1358*t[65])/3 + 
       (662*t[66])/3 - 96*t[70] + 96*t[71] - 48*t[74] - 156*t[76] + 
       164*t[78] + 224*t[80] + 80*t[81] - 80*t[82] - 58*t[84] + 42*t[85] + 
       264*t[86] + 172*t[87] + 86*t[88] + 421*t[89] - 96*t[99] - 48*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((155*t[2])/8 + (157*t[3])/24 - (217*t[4])/24 + (29*t[5])/48 + 
       (171*t[6])/16 + (175*t[7])/24 - (163*t[8])/24 + (233*t[9])/16 + 
       (111*t[10])/16 - (1183*t[11])/48 + (167*t[12])/12 - (229*t[13])/72 + 
       (47*t[14])/32 - (8087*t[15])/288 - 3*t[24] + t[25] - t[26] - 
       (17*t[27])/3 - (35*t[28])/3 - (19*t[29])/3 + (7*t[30])/3 + 2*t[32] - 
       3*t[33] - t[35] + 4*t[36] - (35*t[39])/6 - (9*t[40])/2 - (3*t[41])/2 + 
       (3*t[42])/2 + (9*t[43])/4 - (17*t[44])/3 + (9*t[45])/2 - 
       (33*t[46])/4 - 5*t[47] - (97*t[48])/48 - (141*t[49])/16 - 
       (541*t[50])/48 + (89*t[51])/96 + (541*t[52])/48 + (141*t[53])/16 + 
       (137*t[54])/16 + (179*t[60])/24 - (221*t[61])/8 + (77*t[62])/16 + 
       (2657*t[63])/48 + (449*t[64])/48 + (923*t[65])/72 - (437*t[66])/72 - 
       t[72]/6 + (13*t[73])/2 + 4*t[74] + (23*t[75])/2 - 2*t[76] + 2*t[77] + 
       (7*t[78])/2 - 2*t[80] + (23*t[81])/6 + (29*t[82])/6 - (80*t[83])/3 + 
       (157*t[84])/24 + (283*t[85])/24 + 8*t[86] - (547*t[87])/24 - 
       (547*t[88])/48 - (79*t[89])/48 - 12*t[98] + 22*t[99] - 43*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*
      ((-15*t[1])/8 + t[2]/6 - (95*t[3])/24 - (421*t[4])/96 - (263*t[5])/16 - 
       (63*t[6])/16 + (37*t[7])/6 + 15*t[8] + (389*t[9])/16 + 
       (4135*t[10])/192 + (245*t[11])/24 + (2671*t[12])/192 - 
       (2371*t[13])/288 + (13055*t[14])/384 - (2731*t[15])/576 + 
       (4*t[25])/3 + (5*t[26])/6 + (8*t[27])/3 - (10*t[28])/3 - (2*t[29])/3 + 
       (2*t[30])/3 + t[31]/3 + t[34]/12 + 3*t[35] + t[36]/2 + 2*t[37] - 
       (9*t[38])/4 - (19*t[39])/6 + t[40]/6 - t[41]/24 + t[42]/24 - t[43]/3 + 
       t[44]/6 + 3*t[45] - (19*t[46])/24 - 6*t[47] - (21*t[48])/16 - 
       (1715*t[49])/192 - (173*t[50])/16 - (2245*t[51])/384 + 
       (499*t[52])/48 + (641*t[53])/64 + (583*t[54])/96 - t[58]/12 + 
       (5*t[59])/3 + (1063*t[60])/32 + (4285*t[61])/96 - (5843*t[62])/192 + 
       (337*t[63])/64 - (6415*t[64])/192 + (407*t[65])/288 - (483*t[66])/32 + 
       t[72] - 4*t[73] + (5*t[74])/2 - (38*t[75])/3 + (49*t[76])/12 + 
       t[77]/12 - (37*t[78])/3 + (16*t[79])/3 - (21*t[80])/2 - 
       (37*t[81])/12 + (17*t[82])/6 + (25*t[83])/2 + (1103*t[84])/96 + 
       (1483*t[85])/96 + (22*t[86])/3 - (1159*t[87])/32 - (3829*t[88])/192 + 
       (791*t[89])/192 + t[97]/12 - 17*t[98] + 15*t[99] - (127*t[100])/3)*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      (19*t[1] + 65*t[2] - 22*t[3] + (51*t[4])/2 - 56*t[5] - (329*t[6])/4 + 
       (83*t[7])/2 - (41*t[8])/2 + 77*t[9] + (471*t[10])/4 - (139*t[11])/4 - 
       (123*t[12])/4 + (491*t[13])/18 + (703*t[14])/8 + (277*t[15])/12 + 
       10*t[18] - 6*t[19] + 18*t[21] - 12*t[23] + 2*t[24] - 2*t[25] + 
       2*t[27] - 4*t[28] + 14*t[31] + 4*t[32] - 4*t[37] + 2*t[38] - 4*t[39] - 
       4*t[40] + 4*t[41] - t[42] + (5*t[43])/2 + 2*t[44] + 49*t[45] - 
       4*t[46] - 100*t[47] - (147*t[48])/4 + (47*t[49])/4 + (41*t[50])/4 - 
       (59*t[51])/8 - (41*t[52])/4 - (47*t[53])/4 - (87*t[54])/4 - 16*t[59] + 
       81*t[60] - 63*t[61] + (23*t[62])/2 - (131*t[63])/2 - (943*t[64])/2 - 
       (113*t[65])/3 - (307*t[66])/3 - 20*t[69] - 20*t[70] + 20*t[71] + 
       8*t[74] - 8*t[75] + 4*t[78] - 24*t[79] - 64*t[80] - 16*t[82] + 
       54*t[83] + 7*t[84] + 63*t[85] - 85*t[87] - (85*t[88])/2 - 
       (5*t[89])/2 + 56*t[99] - 40*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*(11*t[1] - (3*t[3])/2 + 
       20*t[4] - (39*t[5])/4 + (7*t[6])/4 - (13*t[7])/2 - (15*t[8])/2 + 
       (53*t[9])/4 - (133*t[10])/2 - (19*t[11])/4 + (51*t[12])/4 + 
       (61*t[13])/4 - (131*t[14])/4 + (49*t[15])/24 - 16*t[25] + 2*t[26] + 
       4*t[36] + 4*t[37] + 14*t[38] - 2*t[40] + 2*t[45] - 4*t[46] - 4*t[47] - 
       (13*t[48])/4 - 6*t[49] - (41*t[50])/4 + (65*t[51])/4 + (41*t[52])/4 + 
       12*t[53] + (41*t[54])/4 - 13*t[59] + (29*t[60])/2 - (141*t[61])/2 + 
       (327*t[62])/4 - (359*t[63])/4 - (441*t[64])/4 - (15*t[65])/2 + 
       (5*t[66])/2 - 10*t[69] - 12*t[70] + 12*t[71] - 16*t[73] + 4*t[75] + 
       2*t[77] + 2*t[78] + 4*t[80] - 2*t[81] + 2*t[82] - 9*t[83] + 
       (19*t[84])/2 + (27*t[85])/2 - 40*t[86] - (93*t[87])/2 - (93*t[88])/4 + 
       (111*t[89])/4 + 56*t[99] - 40*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((7*t[1])/2 - (21*t[2])/4 - (113*t[3])/12 + (481*t[4])/24 - 
       (151*t[5])/8 + (241*t[6])/8 - (299*t[7])/12 - (341*t[8])/12 + 
       (401*t[9])/24 + (1961*t[10])/48 + (977*t[11])/24 + (261*t[12])/16 + 
       (46*t[13])/9 + (5903*t[14])/288 - (817*t[15])/72 - 3*t[24] + 2*t[25] - 
       t[26] - 2*t[27] - 5*t[28] - 7*t[31] + t[32] - 2*t[35] + 2*t[36] - 
       5*t[37] - t[38] - 5*t[39] + 3*t[40] + t[41]/2 - t[42]/2 + 
       (22*t[43])/3 + t[44] - 6*t[45] - 5*t[46] + 14*t[47] - (15*t[48])/8 - 
       (329*t[49])/48 - (121*t[50])/24 + (185*t[51])/96 + (121*t[52])/24 + 
       (401*t[53])/48 + (29*t[54])/6 - 2*t[59] + 13*t[60] + (13*t[61])/4 - 
       (1039*t[62])/48 + (3631*t[63])/48 + (1657*t[64])/24 + (559*t[65])/72 - 
       (67*t[66])/18 - 2*t[69] - 10*t[74] - 6*t[75] + 2*t[76] - 4*t[77] - 
       19*t[78] + 4*t[79] + 5*t[80] + 5*t[81] - 12*t[82] + (17*t[83])/6 + 
       (7*t[84])/3 + (43*t[85])/6 - (10*t[86])/3 - (19*t[87])/3 - 
       (19*t[88])/6 - (23*t[89])/24 + 12*t[98] - 25*t[99] - (77*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      (-t[1]/6 + (163*t[2])/6 - (1127*t[3])/96 + (55*t[4])/4 - 
       (1363*t[5])/64 - (593*t[6])/32 + (389*t[7])/32 + (145*t[8])/96 + 
       (8033*t[9])/192 - (1325*t[10])/96 + (373*t[11])/96 + (511*t[12])/64 + 
       (8201*t[13])/1728 - (59*t[14])/192 - (4937*t[15])/384 - (5*t[18])/3 - 
       t[22]/3 - t[23] - 7*t[24] + 2*t[25] - t[26]/12 + (13*t[27])/6 - 
       (4*t[28])/3 - t[29]/6 + (7*t[30])/6 - 10*t[31] - t[32]/6 + t[33]/6 + 
       t[34]/12 - 5*t[35] - t[37]/3 - 2*t[38] - (5*t[39])/6 + t[40]/3 - 
       (7*t[41])/8 + (15*t[42])/8 + (383*t[43])/48 - (10*t[44])/3 - 
       (301*t[45])/24 - (31*t[46])/4 + (323*t[47])/12 + (77*t[48])/24 - 
       (145*t[49])/48 - (55*t[50])/24 + (151*t[51])/96 + (15*t[52])/8 + 
       (145*t[53])/48 + (119*t[54])/12 - t[58]/12 - 2*t[59] + (7*t[60])/24 + 
       (199*t[61])/8 - (1033*t[62])/24 + (425*t[63])/24 + (1961*t[64])/24 - 
       (1699*t[65])/144 - (2989*t[66])/144 - (16*t[69])/3 + (10*t[70])/3 - 
       (10*t[71])/3 - 4*t[73] + (2*t[74])/3 + (4*t[75])/3 - (41*t[76])/12 + 
       (7*t[77])/4 - (55*t[79])/6 + (227*t[80])/12 + (65*t[81])/12 - 
       (67*t[82])/8 + (43*t[83])/3 + t[84]/8 - (5*t[85])/24 + 
       (353*t[86])/12 + (365*t[87])/24 + (365*t[88])/48 + (983*t[89])/48 + 
       t[97]/12 - 17*t[98] + 15*t[99] - (109*t[100])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((5*t[1])/2 + (109*t[2])/4 - 47*t[3] - (927*t[4])/8 + (227*t[5])/8 - 
       (211*t[6])/4 - (93*t[7])/4 - 209*t[8] - (301*t[9])/8 + 
       (2997*t[10])/16 - (103*t[11])/2 + (471*t[12])/16 - (505*t[13])/12 + 
       (1577*t[14])/96 + (1393*t[15])/24 + 4*t[19] - 4*t[21] + 4*t[23] - 
       12*t[24] - 7*t[25] + 8*t[26] + 9*t[27] - 4*t[28] - 2*t[29] + 4*t[30] - 
       12*t[31] - t[32] + t[33] + t[34] - 2*t[35] + t[36] + 4*t[37] - 
       2*t[39] - t[40] + (3*t[41])/2 - (3*t[42])/2 + (33*t[43])/2 + 
       14*t[44] + (147*t[45])/4 - (11*t[46])/2 - (165*t[47])/2 - 
       (41*t[48])/2 - (585*t[49])/16 + (41*t[50])/2 + (71*t[51])/32 - 
       (51*t[52])/2 + (569*t[53])/16 + (129*t[54])/8 - t[58] + (17*t[59])/2 - 
       (119*t[60])/8 + (311*t[61])/8 + (1217*t[62])/16 + (1399*t[63])/16 - 
       (593*t[64])/16 - (663*t[65])/8 + (2929*t[66])/24 + 8*t[69] + 8*t[72] - 
       14*t[73] + 32*t[74] + 32*t[75] - 9*t[76] - 5*t[77] + 14*t[78] + 
       10*t[79] - 29*t[80] - 13*t[81] + 19*t[82] + 19*t[83] - (21*t[84])/8 - 
       (389*t[85])/8 - (271*t[86])/2 + (253*t[87])/8 + (253*t[88])/16 - 
       (477*t[89])/16 + 2*t[97] - 40*t[98] + 52*t[99] - 36*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-29*t[1])/2 - (9*t[2])/4 - (23*t[3])/2 + (91*t[4])/8 - (3*t[5])/4 - 
       (731*t[6])/16 + 35*t[7] - (135*t[8])/4 + (209*t[9])/4 + 
       (1319*t[10])/16 + (213*t[11])/16 + (553*t[12])/16 + (491*t[13])/18 + 
       (2793*t[14])/32 + (217*t[15])/16 + 25*t[25] - 15*t[26] + 3*t[27] - 
       10*t[28] + 6*t[30] + (45*t[31])/2 + 3*t[32] - 3*t[33] - 8*t[35] - 
       13*t[36] + 24*t[37] - 10*t[38] - 10*t[39] - 5*t[40] - (17*t[43])/4 + 
       4*t[44] + (115*t[45])/4 - (61*t[46])/4 - (109*t[47])/2 - 
       (331*t[48])/16 - (299*t[49])/16 - (59*t[50])/16 + (19*t[51])/32 - 
       (5*t[52])/16 + (155*t[53])/16 - (479*t[54])/16 - t[58] + 8*t[59] + 
       (249*t[60])/2 + 131*t[61] + (943*t[62])/16 - (459*t[63])/16 - 
       (697*t[64])/4 - (803*t[65])/6 - (209*t[66])/4 + 4*t[69] + 8*t[72] - 
       6*t[73] + (85*t[74])/2 + 30*t[75] - 4*t[76] + 4*t[77] + 9*t[78] - 
       2*t[79] - 95*t[80] - (131*t[81])/4 + (203*t[82])/4 + 5*t[83] + 
       (135*t[84])/8 + (67*t[85])/4 - (295*t[86])/2 - (267*t[87])/4 - 
       (259*t[88])/8 + (241*t[89])/8 + 2*t[97] - 40*t[98] + 52*t[99] - 
       36*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((-21*t[2])/4 - (19*t[3])/6 + (97*t[4])/6 - 
       (103*t[5])/24 - (47*t[6])/4 + (55*t[7])/3 - (137*t[8])/6 - 
       (65*t[9])/8 + (9*t[10])/2 + (179*t[11])/6 - (163*t[12])/24 + 
       (629*t[13])/72 - (35*t[14])/8 + (269*t[15])/48 - t[27]/3 - 
       (13*t[28])/3 - (2*t[29])/3 + (14*t[30])/3 + t[31] - 4*t[35] + t[37] - 
       (8*t[39])/3 + t[41]/2 - t[42]/2 + t[43]/2 + (29*t[44])/3 + 3*t[45] - 
       4*t[47] - (14*t[48])/3 + 5*t[49] + (53*t[50])/6 - (7*t[51])/12 - 
       (53*t[52])/6 - 5*t[53] - (33*t[54])/2 - (115*t[60])/12 + 
       (119*t[61])/4 + (67*t[62])/8 - (613*t[63])/24 + (59*t[64])/24 - 
       (1183*t[65])/36 - (107*t[66])/9 + (8*t[72])/3 - 4*t[73] + 5*t[74] - 
       16*t[75] - 9*t[78] + (3*t[79])/2 - t[80] - (10*t[81])/3 + 
       (17*t[82])/3 - (23*t[83])/6 - (5*t[84])/3 - (37*t[85])/6 - t[86]/2 + 
       (31*t[87])/6 + (31*t[88])/12 - (295*t[89])/24 + 24*t[98] - 28*t[99] - 
       30*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*(10*t[1] - t[2]/4 + (331*t[3])/24 - (377*t[4])/48 + 
       (665*t[5])/12 + t[6]/24 + (427*t[7])/24 - (71*t[8])/3 - 
       (931*t[9])/24 + (1553*t[10])/96 + (695*t[11])/16 - (3071*t[12])/96 + 
       (41*t[13])/6 - (383*t[14])/192 + (817*t[15])/96 + t[21] - t[23] - 
       (41*t[24])/12 - 3*t[25] - t[27] - (25*t[30])/2 - (65*t[31])/12 + 
       (3*t[32])/2 + t[33]/2 - t[34] - 9*t[35] - 3*t[37] + 3*t[38] + t[39] - 
       3*t[40] + (3*t[41])/2 - (3*t[42])/2 + (71*t[43])/24 + 6*t[44] + 
       7*t[45] + 2*t[46] - (61*t[47])/4 - (185*t[48])/24 - (349*t[49])/96 + 
       (159*t[50])/8 + (589*t[51])/192 - (159*t[52])/8 + (349*t[53])/96 - 
       (1177*t[54])/48 + (7*t[59])/2 - 12*t[60] + (877*t[61])/24 + 
       (439*t[62])/96 - (5711*t[63])/96 - (1111*t[64])/24 - (1373*t[65])/48 + 
       (455*t[66])/48 - t[69] + 2*t[72] + 13*t[74] - 2*t[75] - 12*t[78] + 
       t[79] + 5*t[80] - 9*t[81] + 10*t[82] + (43*t[83])/12 - (3*t[84])/2 - 
       (55*t[85])/4 - (58*t[86])/3 + (32*t[87])/3 + (16*t[88])/3 - 
       (829*t[89])/24 + 6*t[99] - (55*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-25*t[1])/3 - (149*t[2])/2 - (829*t[3])/12 + (1567*t[4])/12 - 
       (1277*t[5])/8 + (619*t[6])/4 + (2663*t[7])/12 + (4205*t[8])/12 + 
       (3979*t[9])/24 - (2071*t[10])/24 + (3563*t[11])/12 + (413*t[12])/4 + 
       (13453*t[13])/72 + (10769*t[14])/144 - (2503*t[15])/144 - 8*t[18] + 
       4*t[20] - 8*t[21] + t[22] + 32*t[23] + 32*t[25] - 18*t[26] - 
       28*t[27] - 4*t[28] + 8*t[30] + 26*t[31] + 18*t[32] - 10*t[33] + 
       24*t[34] + 12*t[35] - 2*t[36] - 12*t[37] - 18*t[38] + 4*t[39] - 
       24*t[40] + 18*t[41] - 14*t[42] - (145*t[43])/3 + 22*t[44] - 46*t[45] + 
       9*t[46] + 102*t[47] + 12*t[48] + (1501*t[49])/24 + (140*t[50])/3 - 
       (391*t[51])/48 - (92*t[52])/3 - (1453*t[53])/24 - (1273*t[54])/12 + 
       4*t[58] + (67*t[59])/3 + 92*t[60] + 305*t[61] - (8335*t[62])/24 - 
       (101*t[63])/24 - (3647*t[64])/12 + (9583*t[65])/36 - (1021*t[66])/9 - 
       12*t[72] + 28*t[73] - 58*t[74] + 2*t[76] + 19*t[77] - 34*t[78] - 
       6*t[79] - 121*t[80] + 39*t[81] - 12*t[82] - (34*t[83])/3 + 
       (152*t[84])/3 + (539*t[85])/6 + (71*t[86])/6 - (511*t[87])/6 - 
       (511*t[88])/12 + (611*t[89])/6 + 16*t[98] - 84*t[99] - 24*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (-3*t[1] + (41*t[2])/2 - (71*t[3])/2 + (405*t[4])/2 + (155*t[5])/4 - 
       (175*t[6])/4 + 10*t[7] - (265*t[8])/2 - (189*t[9])/4 - (337*t[10])/4 + 
       (555*t[11])/4 - (155*t[12])/2 + (51*t[13])/2 + (1853*t[14])/24 + 
       (543*t[15])/8 - (8*t[19])/3 - 4*t[21] + 4*t[23] + 8*t[24] + 2*t[25] + 
       6*t[26] + 2*t[27] + 16*t[28] + 18*t[30] + 32*t[31] - 6*t[32] + 
       14*t[33] + 2*t[34] - 20*t[35] - 28*t[37] - 8*t[38] + 26*t[39] - 
       5*t[41] + 5*t[42] + 11*t[43] + 6*t[44] + (35*t[45])/2 + 3*t[46] - 
       45*t[47] - (35*t[48])/4 + (323*t[49])/4 + (197*t[50])/4 - 
       (13*t[51])/8 - (237*t[52])/4 - (323*t[53])/4 - (279*t[54])/4 + 
       (28*t[59])/3 - (247*t[60])/4 - (81*t[61])/4 + (121*t[62])/2 + 
       99*t[63] - (1347*t[64])/8 - (913*t[65])/3 - (569*t[66])/12 + 4*t[69] - 
       8*t[70] + 8*t[71] - 10*t[72] + 16*t[73] - 22*t[74] - 20*t[75] - 
       12*t[76] + 6*t[77] + 4*t[78] - 34*t[79] + t[80] - 19*t[81] - 
       12*t[82] + 60*t[83] - (221*t[84])/4 - (555*t[85])/4 - (219*t[86])/2 - 
       (245*t[87])/4 - (137*t[88])/8 - (705*t[89])/8 - 12*t[95] + 24*t[96] + 
       2*t[97] + 16*t[98] - 84*t[99] - 24*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*(-44*t[1] - 38*t[2] - 
       (25*t[3])/2 - 97*t[4] + (463*t[5])/4 + 53*t[6] - (77*t[7])/2 + 
       (79*t[8])/2 - (373*t[9])/4 - 31*t[10] + 26*t[11] + (229*t[12])/4 - 
       (113*t[13])/4 - (605*t[14])/12 + (323*t[15])/24 - 16*t[18] + 8*t[19] - 
       26*t[21] + 26*t[23] - 14*t[24] + 2*t[25] - 2*t[27] - 14*t[31] + 
       4*t[37] - 2*t[38] + 16*t[41] + 10*t[43] + 2*t[44] + 15*t[45] + t[46] - 
       22*t[47] + 27*t[48] - (47*t[49])/2 - 4*t[50] + (13*t[51])/2 + 
       4*t[52] + (47*t[53])/2 + 35*t[54] + 8*t[59] - 54*t[60] + 99*t[61] + 
       (143*t[62])/2 + (157*t[63])/2 + (835*t[64])/2 + (56*t[65])/3 + 
       166*t[66] + 20*t[69] + 40*t[70] - 42*t[71] + 4*t[74] + 8*t[75] - 
       4*t[78] + 24*t[79] + 44*t[80] - 6*t[81] + 22*t[82] - 50*t[83] + 
       t[84] - 62*t[85] - 46*t[86] + 64*t[87] + 32*t[88] - 20*t[89] - 
       56*t[99] - 20*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*(9*t[1] - (5*t[3])/2 - (71*t[4])/2 + 
       (15*t[5])/2 + 5*t[6] + (21*t[7])/2 + (39*t[8])/2 - 3*t[9] + 
       (37*t[10])/4 + 69*t[11] - (205*t[12])/4 + (545*t[13])/12 + 
       (395*t[14])/24 - t[15]/3 + 24*t[25] - 32*t[26] - 6*t[36] + 20*t[37] + 
       2*t[38] + 2*t[40] - 2*t[45] + 18*t[46] + 4*t[47] + 6*t[48] - 
       (47*t[49])/4 + 9*t[50] - (95*t[51])/8 - 9*t[52] + (11*t[53])/4 - 
       (45*t[54])/2 + 4*t[59] + (121*t[60])/2 + (141*t[61])/2 - 
       (359*t[62])/4 - (61*t[63])/4 + (881*t[64])/4 - (121*t[65])/3 - 
       101*t[66] + 10*t[69] + 24*t[70] - 26*t[71] + 16*t[73] + 2*t[74] - 
       4*t[75] - 2*t[77] - 2*t[78] - 4*t[80] + t[81] - t[82] + 9*t[83] + 
       8*t[84] - (3*t[85])/2 + 40*t[86] + (143*t[87])/2 + (31*t[88])/4 - 
       (53*t[89])/4 - 4*t[95] - 56*t[99] - 20*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*Omega2[v, w, u]*(-12*t[99] - 18*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*Omega2[u, v, w]*(-t[1] + (3*t[2])/2 - 13*t[3] + 4*t[4] - 
       (39*t[5])/2 + 2*t[6] + 15*t[7] - 29*t[8] + (37*t[9])/2 + 6*t[10] + 
       (15*t[11])/2 + (39*t[12])/2 + (625*t[13])/36 - (5*t[14])/3 - 
       (97*t[15])/12 - 6*t[24] + 2*t[25] - 2*t[27] - 2*t[28] + 2*t[32] - 
       2*t[35] - 2*t[38] - 2*t[39] - 2*t[40] + t[41] - t[42] + 2*t[43] + 
       4*t[44] - 4*t[46] + 2*t[47] - 9*t[48] - 5*t[49] + 4*t[50] + t[51] - 
       4*t[52] + 5*t[53] + 2*t[59] + 17*t[60] + 25*t[61] - 2*t[63] - 
       46*t[64] + (25*t[65])/6 - (101*t[66])/6 - 2*t[78] + 4*t[80] + t[81] - 
       t[82] + 5*t[83] + (3*t[84])/2 + 5*t[85] + 12*t[86] - 8*t[87] - 
       4*t[88] - 9*t[89] - 12*t[99] - 18*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      (-2*t[1] + (3*t[2])/2 - (27*t[3])/4 + 20*t[4] - (67*t[5])/8 + 4*t[6] - 
       (43*t[7])/4 + (41*t[8])/4 + (61*t[9])/8 + (35*t[10])/4 + (7*t[11])/2 + 
       (39*t[12])/8 + (1105*t[13])/72 + (23*t[14])/24 - (281*t[15])/48 + 
       2*t[30] - 2*t[37] - 5*t[43] - 4*t[44] - (3*t[45])/2 - 4*t[46] + 
       7*t[47] - (13*t[48])/4 - t[49]/2 + (7*t[50])/4 - (9*t[51])/4 - 
       (7*t[52])/4 + t[53]/2 - (19*t[54])/4 - 3*t[59] + 7*t[60] - 19*t[61] + 
       (79*t[62])/4 + (83*t[63])/4 + (7*t[64])/2 - (40*t[65])/3 + 
       (68*t[66])/3 - 2*t[69] - 2*t[73] + 4*t[75] + 2*t[77] + 4*t[79] - 
       22*t[80] - 2*t[81] + 5*t[82] - 15*t[83] + 4*t[85] - 22*t[86] - 
       10*t[87] - 5*t[88] + (11*t[89])/2 + 12*t[98] - 25*t[99] - 
       (29*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*
      (4*t[2] + (19*t[3])/8 - (149*t[4])/48 + (133*t[5])/48 - (191*t[6])/24 + 
       (313*t[7])/24 - (75*t[8])/4 + (253*t[9])/48 - (235*t[10])/96 + 
       (233*t[11])/48 + (623*t[12])/96 + (457*t[13])/108 - (2957*t[14])/576 - 
       (743*t[15])/144 - t[24]/3 - t[28]/3 + t[29] - t[30] - t[31]/3 + 
       (4*t[32])/3 + t[35]/2 + (3*t[36])/2 + t[43]/2 + (16*t[44])/3 + t[46] + 
       (17*t[47])/12 - (39*t[48])/8 - (51*t[49])/32 + (35*t[50])/8 + 
       (3*t[51])/64 - (35*t[52])/8 + (51*t[53])/32 - (67*t[54])/16 - 
       2*t[60] + (7*t[61])/4 - (155*t[62])/96 - (271*t[63])/32 - 
       (199*t[64])/48 - (265*t[65])/144 - (1819*t[66])/144 + 2*t[73] - 
       (13*t[75])/2 - (2*t[77])/3 + (11*t[79])/12 + (4*t[80])/3 + t[81] - 
       t[82] - (11*t[83])/4 + (2*t[84])/3 + (11*t[85])/6 + (29*t[86])/4 - 
       t[87]/6 - t[88]/12 - (229*t[89])/48 - (13*t[99])/3 - (38*t[100])/3)*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
      (-t[1]/4 - (49*t[2])/8 - (95*t[3])/12 + (115*t[4])/6 - (353*t[5])/24 + 
       (103*t[6])/24 - (53*t[7])/12 + (125*t[8])/12 + (301*t[9])/24 - 
       (25*t[10])/12 + (49*t[11])/4 - (65*t[12])/24 + (1819*t[13])/144 + 
       (55*t[14])/36 - (629*t[15])/144 - t[24]/2 + t[25]/2 - t[27]/2 + 
       (3*t[28])/2 - (2*t[29])/3 - 2*t[30] - 3*t[31] - t[32]/2 - 
       (9*t[35])/2 - t[38]/2 + t[39]/2 + t[40]/2 + t[41]/4 - t[42]/4 - 
       (3*t[43])/2 - 3*t[44] - 3*t[45] - 2*t[46] + (15*t[47])/2 + 
       (11*t[48])/8 + (7*t[49])/6 + (9*t[50])/8 + (25*t[51])/24 - 
       (9*t[52])/8 - (7*t[53])/6 - (35*t[54])/24 + t[59]/2 - (11*t[60])/6 + 
       8*t[61] - (241*t[62])/12 + (47*t[63])/12 + (197*t[64])/8 - 
       (497*t[65])/72 - (481*t[66])/24 - 4*t[74] - (14*t[75])/3 - 
       (5*t[78])/2 - t[79] + t[80] + t[81]/4 - (13*t[82])/4 + (43*t[83])/4 - 
       (11*t[84])/8 - t[85]/2 + 9*t[86] + (45*t[87])/4 + (45*t[88])/8 + 
       (139*t[89])/24 - (13*t[99])/3 - (38*t[100])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*(-t[1]/12 - (29*t[2])/24 + 
       (35*t[3])/12 - (3397*t[4])/96 + (95*t[5])/24 - (109*t[6])/16 - 
       (5*t[7])/24 - (85*t[8])/8 - (11*t[9])/6 + (967*t[10])/192 - 
       (319*t[11])/24 + (1537*t[12])/64 - (20971*t[13])/864 - 
       (6113*t[14])/384 + (1237*t[15])/192 + t[25]/2 + (37*t[26])/12 + 
       (2*t[27])/3 - (4*t[28])/3 - (2*t[29])/3 + (7*t[30])/6 - (5*t[31])/6 + 
       t[34]/3 - t[35]/3 - t[36]/2 + (4*t[37])/3 - (47*t[38])/12 - 
       (2*t[39])/3 + (2*t[40])/3 - t[41]/6 + t[42]/6 - t[43]/12 + 
       (2*t[44])/3 + (169*t[46])/24 - (55*t[48])/16 - (1259*t[49])/192 + 
       (25*t[50])/16 + (369*t[51])/128 - (155*t[52])/48 + (2843*t[53])/192 + 
       (337*t[54])/32 - t[58]/3 + (33*t[59])/8 - (3179*t[60])/96 - 
       (91*t[61])/96 + (2477*t[62])/192 + (1841*t[63])/64 + (857*t[64])/192 + 
       (701*t[65])/96 + (17093*t[66])/288 + (16*t[69])/3 - (10*t[70])/3 + 
       3*t[71] - t[72]/2 + 4*t[73] - (13*t[74])/6 + (23*t[75])/3 + 
       (23*t[76])/6 + t[77]/3 - (23*t[78])/3 - (4*t[79])/3 + t[80] - 
       2*t[81] + (11*t[82])/4 - (7*t[83])/3 - (1457*t[84])/96 - 
       (1261*t[85])/96 + 11*t[86] + (923*t[87])/96 + (923*t[88])/192 - 
       (4001*t[89])/192 + t[97]/3 + 19*t[98] - 21*t[99] - (67*t[100])/6)*
      \[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      ((-57*t[1])/8 - (11*t[2])/24 + (75*t[3])/32 - (115*t[4])/24 + 
       (6847*t[5])/192 - (35*t[6])/96 + (2591*t[7])/96 + (1505*t[8])/96 - 
       (2263*t[9])/192 - (299*t[10])/96 + (791*t[11])/32 - (901*t[12])/64 + 
       (4837*t[13])/192 + (7325*t[14])/576 + (2839*t[15])/384 + (2*t[25])/3 - 
       t[26]/3 + (2*t[27])/3 - (4*t[28])/3 - (2*t[29])/3 + (7*t[30])/6 - 
       (14*t[31])/3 - (2*t[32])/3 + (2*t[33])/3 + t[34]/3 - t[35]/3 + 
       (7*t[37])/3 - (2*t[38])/3 - (4*t[39])/3 + (4*t[40])/3 - t[41]/6 + 
       t[42]/6 + (107*t[43])/48 + (2*t[44])/3 + (31*t[45])/24 - 
       (11*t[46])/4 - (13*t[47])/4 + (7*t[48])/24 + (169*t[49])/24 + 
       (21*t[50])/8 - (11*t[51])/8 - (103*t[52])/24 - (169*t[53])/24 - 
       (113*t[54])/24 - t[58]/3 + (125*t[59])/24 + (77*t[60])/3 + 78*t[61] - 
       (4667*t[62])/48 - (941*t[63])/48 + (599*t[64])/16 + (1091*t[65])/144 - 
       (14267*t[66])/144 + (16*t[69])/3 - (10*t[70])/3 + 3*t[71] - 
       (17*t[74])/3 - (4*t[75])/3 + (7*t[76])/3 + (3*t[77])/4 - (5*t[78])/3 + 
       (14*t[79])/3 + (533*t[80])/12 - (7*t[81])/6 + (49*t[82])/24 + 
       (37*t[83])/6 - t[84]/2 - (13*t[85])/3 + (1051*t[86])/12 - 
       (17*t[87])/2 - (17*t[88])/4 - (121*t[89])/12 + t[97]/3 + 19*t[98] - 
       21*t[99] - (67*t[100])/6)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((65*t[1])/6 - (235*t[2])/12 + 
       (53*t[3])/8 - (1841*t[4])/24 + (3509*t[5])/48 - (2671*t[6])/48 - 
       (1673*t[7])/24 - (1415*t[8])/8 - (6749*t[9])/48 + (8333*t[10])/48 - 
       (5123*t[11])/48 - (557*t[12])/6 - (39337*t[13])/432 + 
       (769*t[14])/288 + (2261*t[15])/32 + 2*t[19] - 2*t[21] - 2*t[22] + 
       2*t[23] - 17*t[25] + (20*t[26])/3 + (13*t[27])/3 - (26*t[28])/3 - 
       (10*t[29])/3 + (22*t[30])/3 + (17*t[31])/2 - (17*t[32])/3 + 
       (11*t[33])/3 + (7*t[34])/3 + 8*t[35] + t[36] + 10*t[38] - 6*t[39] + 
       (25*t[40])/3 - (19*t[41])/6 + (19*t[42])/6 + (259*t[43])/12 + 
       (34*t[44])/3 + (635*t[45])/12 + (3*t[46])/4 - (275*t[47])/2 - 
       (307*t[48])/16 + (11*t[49])/16 + (109*t[50])/16 + (823*t[51])/96 - 
       (887*t[52])/48 - (27*t[53])/16 + (319*t[54])/48 - (7*t[58])/3 - 
       (9*t[59])/2 - (85*t[60])/8 - (503*t[61])/24 + (7439*t[62])/48 + 
       (2977*t[63])/48 - (5461*t[64])/48 - (4099*t[65])/36 + 
       (7619*t[66])/72 + 2*t[69] + (32*t[72])/3 - 24*t[73] + (49*t[74])/2 + 
       2*t[75] + (37*t[76])/3 + t[77]/2 + (20*t[78])/3 - 4*t[79] - 
       (53*t[80])/6 - (193*t[81])/12 + (149*t[82])/12 + (91*t[83])/3 - 
       23*t[84] - (451*t[85])/24 - (1397*t[86])/12 + (283*t[87])/24 + 
       (283*t[88])/48 - (3103*t[89])/48 - (5*t[97])/3 + 68*t[98] - 44*t[99] - 
       8*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*
      (12*t[99] - (13*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v]*((-27*t[1])/2 + (45*t[2])/2 - (15*t[3])/4 + 
       (27*t[4])/2 - (1841*t[5])/24 - (299*t[6])/24 + (203*t[7])/8 - 
       (149*t[8])/24 + (1145*t[9])/12 - (535*t[10])/8 - (74*t[11])/3 + 
       (1135*t[12])/24 - (11*t[13])/144 + (1243*t[14])/36 - (187*t[15])/36 + 
       2*t[19] + t[21] - t[23] + (31*t[24])/3 + 7*t[25] + t[27] + 4*t[28] - 
       3*t[29] + (49*t[31])/3 - 4*t[32] + 16*t[35] - 7*t[38] + 4*t[39] + 
       4*t[40] - 4*t[41] + 4*t[42] - (209*t[43])/24 + (15*t[44])/2 - 
       (97*t[45])/4 + (13*t[46])/2 + (75*t[47])/2 - (101*t[48])/6 + 
       (29*t[49])/3 - (56*t[50])/3 - (143*t[51])/24 + (56*t[52])/3 - 
       (29*t[53])/3 + 11*t[54] + (71*t[60])/4 - (101*t[61])/6 - 
       (205*t[62])/6 + 67*t[63] - (77*t[64])/4 + (833*t[65])/36 - 
       (380*t[66])/9 - t[69] - 15*t[74] + t[78] - 18*t[79] - 6*t[80] + 
       (27*t[81])/2 - (39*t[82])/2 - (47*t[83])/6 + (49*t[84])/12 + 
       (157*t[85])/6 + (137*t[86])/6 - (101*t[87])/3 - (101*t[88])/6 + 
       (177*t[89])/8 + 12*t[99] - (13*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      (-7*t[99] - 4*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*(-5*t[1] + 5*t[2] - (37*t[3])/3 + (265*t[4])/12 - 
       (175*t[5])/8 + (83*t[6])/16 + (37*t[7])/6 - (127*t[8])/3 + 
       (697*t[9])/24 + (137*t[10])/24 - (931*t[11])/48 + (191*t[12])/8 + 
       (659*t[13])/36 - (481*t[14])/144 - (973*t[15])/144 - 4*t[24] + 
       3*t[25] + t[27] + (9*t[31])/2 + 7*t[35] - 3*t[38] + (29*t[43])/12 + 
       2*t[44] - t[45] - (37*t[46])/4 + 2*t[47] - (153*t[48])/16 + t[49]/24 - 
       (211*t[50])/48 + (7*t[51])/6 + (211*t[52])/48 - t[53]/24 + 
       (191*t[54])/48 + 4*t[59] + (241*t[60])/8 + (47*t[61])/8 + 
       (485*t[62])/24 + (661*t[63])/24 - (1139*t[64])/48 - (85*t[65])/72 - 
       (899*t[66])/72 - (29*t[74])/2 - t[75] - 3*t[78] + t[79]/2 - 3*t[80] + 
       (9*t[81])/4 - (21*t[82])/4 + (13*t[83])/6 + (35*t[84])/12 + 
       (335*t[85])/24 + (4*t[86])/3 - (451*t[87])/24 - (451*t[88])/48 + 
       (163*t[89])/48 - 7*t[99] - 4*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*((-3*t[2])/4 - (2*t[3])/3 + 
       (5*t[4])/12 - (13*t[5])/8 - (3*t[6])/16 + (11*t[7])/6 - (8*t[8])/3 + 
       (71*t[9])/24 - (41*t[10])/24 + (163*t[11])/48 + (13*t[12])/8 + 
       t[13]/9 + (485*t[14])/144 + (37*t[15])/144 + t[31]/2 + t[42]/4 + 
       (7*t[43])/12 + t[46]/4 - (15*t[48])/16 - (13*t[49])/24 + 
       (19*t[50])/48 + t[51]/12 - (19*t[52])/48 + (13*t[53])/24 - 
       (23*t[54])/48 + (31*t[60])/8 + (9*t[61])/8 + (25*t[62])/24 + 
       (29*t[63])/24 - (313*t[64])/48 + (151*t[65])/72 - (221*t[66])/72 + 
       t[74]/2 - (3*t[79])/2 + t[81]/4 - t[82]/4 - (2*t[83])/3 + t[84]/3 + 
       (13*t[85])/24 - (17*t[86])/6 - (77*t[87])/24 - (77*t[88])/48 - 
       (31*t[89])/48 - 2*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]*((-7*t[1])/12 - (5*t[3])/12 + (5*t[4])/3 - t[5]/2 + 
       (31*t[6])/16 - (5*t[7])/3 - (13*t[8])/6 + t[9]/3 - (7*t[10])/12 + 
       (61*t[11])/48 - t[12]/8 + (19*t[13])/36 + (107*t[14])/72 + 
       (4*t[15])/9 + t[31]/2 + (7*t[43])/12 + t[46]/4 - (5*t[48])/16 - 
       (2*t[49])/3 - (23*t[50])/48 + (7*t[51])/48 + (23*t[52])/48 + 
       (2*t[53])/3 + (7*t[54])/48 + t[59]/12 + (11*t[60])/8 + (13*t[61])/8 + 
       (61*t[62])/24 + (53*t[63])/24 - (169*t[64])/48 + (7*t[65])/72 - 
       (49*t[66])/72 + t[74]/2 - t[79] + t[81]/4 - t[82]/4 - t[83]/6 + 
       t[84]/12 + (19*t[85])/24 - (29*t[86])/6 - (23*t[87])/24 - 
       (23*t[88])/48 + (17*t[89])/48 - t[100]/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*((3*t[2])/8 - (2*t[3])/3 + 
       (5*t[4])/3 - (5*t[5])/12 - t[6] + (4*t[7])/3 - (7*t[8])/12 - 
       (7*t[9])/8 + (3*t[10])/2 + (37*t[11])/12 + (23*t[12])/24 + 
       (65*t[13])/36 - (55*t[14])/48 + (59*t[15])/48 + (2*t[27])/3 - 
       t[28]/3 - (2*t[29])/3 + (2*t[30])/3 - t[35] - t[39]/6 + t[44]/6 + 
       t[46]/4 - (23*t[48])/12 - (3*t[49])/4 + (13*t[50])/12 + 
       (11*t[51])/48 - (13*t[52])/12 + (3*t[53])/4 - (3*t[54])/4 - 
       (7*t[60])/3 + (5*t[61])/2 - (3*t[62])/4 - (77*t[63])/12 + t[64]/3 - 
       (107*t[65])/18 - (49*t[66])/18 + t[72]/6 + t[73]/2 - (5*t[75])/2 - 
       (3*t[78])/2 - t[81]/3 - t[82]/3 + (11*t[83])/3 - (7*t[84])/6 + 
       t[85]/3 + (13*t[87])/6 + (13*t[88])/12 - (7*t[89])/6 + t[99]/6 - 
       t[100]/3)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
      ((5*t[2])/4 - (29*t[3])/48 + (25*t[4])/8 + t[5]/16 + t[6]/2 - 
       (37*t[7])/24 - t[8]/24 - (239*t[9])/48 + (61*t[10])/16 + 
       (107*t[11])/48 - (19*t[12])/24 + (1649*t[13])/864 - (397*t[14])/96 - 
       (65*t[15])/36 + (7*t[18])/12 + t[27]/6 - (4*t[28])/3 - t[29]/6 + 
       (7*t[30])/6 - t[35] + (5*t[37])/12 - (2*t[39])/3 + (5*t[41])/24 - 
       (5*t[42])/24 + (2*t[44])/3 + t[46]/4 + t[47]/2 + (9*t[48])/16 - 
       (5*t[49])/48 - (55*t[50])/48 + t[51]/32 + (55*t[52])/48 + 
       (5*t[53])/48 + (11*t[54])/16 - (59*t[60])/12 + (5*t[61])/3 - 
       (11*t[62])/8 - (57*t[63])/8 + (153*t[64])/8 - (605*t[65])/72 - 
       (59*t[66])/36 - (4*t[69])/3 + (5*t[70])/6 - (5*t[71])/6 + 
       (2*t[72])/3 + t[73]/2 - 2*t[75] - (3*t[78])/2 + (4*t[79])/3 - 
       (5*t[80])/12 - t[81]/3 - t[82]/3 + (7*t[83])/8 - (17*t[84])/12 + 
       t[85]/12 - t[86]/2 + (29*t[87])/6 + (29*t[88])/12 + (13*t[89])/6 + 
       t[99]/6 - t[100]/3)*\[Zeta][2] + HPL[{1}, 1 - w]^5*
      (-t[3]/8 - (13*t[4])/16 - (59*t[5])/48 - (37*t[6])/24 + (19*t[7])/8 + 
       t[8]/3 + (103*t[9])/48 + (21*t[10])/32 - (19*t[11])/48 + 
       (65*t[12])/96 - (23*t[13])/48 - (271*t[14])/576 - (37*t[15])/72 - 
       t[24]/3 - t[31]/3 - t[43]/6 + (3*t[47])/4 - t[48]/6 - (19*t[49])/96 + 
       (2*t[50])/3 + (19*t[51])/192 - (2*t[52])/3 + (19*t[53])/96 + 
       t[54]/16 + t[60]/8 - (17*t[61])/12 - (149*t[62])/96 - (41*t[63])/32 + 
       (5*t[64])/16 + (229*t[65])/144 + (103*t[66])/144 + t[79]/2 + t[83]/3 + 
       t[84]/6 - t[85]/6 + (29*t[86])/12 - t[87]/3 - t[88]/6 + (3*t[89])/16 + 
       t[100]/4)*\[Zeta][2] + (HPL[{1}, 1 - u]^5*t[100]*\[Zeta][2])/4 - 
     2*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*t[100]*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*t[100]*\[Zeta][2] - 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*t[100]*\[Zeta][2])/2 - 
     78*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*t[100]*\[Zeta][2] + 
     90*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*t[100]*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*((4*t[1])/3 + t[3]/4 - 
       (43*t[4])/16 - (25*t[5])/24 - (65*t[6])/48 + t[7]/8 - (5*t[8])/3 + 
       (35*t[9])/24 + (27*t[10])/32 + (7*t[11])/6 + (149*t[12])/96 - 
       (37*t[13])/18 - (1225*t[14])/576 + (29*t[15])/288 - t[24]/12 - 
       t[31]/12 - t[43]/24 + t[46] + (3*t[47])/4 - (11*t[48])/48 - 
       (205*t[49])/96 + (17*t[50])/48 + (61*t[51])/192 - (17*t[52])/48 + 
       (205*t[53])/96 + t[60]/8 - (29*t[61])/12 + (139*t[62])/96 - 
       (177*t[63])/32 - (15*t[64])/16 + (757*t[65])/144 + (703*t[66])/144 + 
       2*t[74] + (3*t[79])/2 + t[83]/12 + t[84]/24 - t[85]/24 - (5*t[86])/6 - 
       (11*t[87])/24 - (11*t[88])/48 + (3*t[89])/16 + t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*((-13*t[1])/24 - (11*t[2])/24 - 
       (69*t[3])/32 - (41*t[4])/24 + (1015*t[5])/192 - (335*t[6])/96 + 
       (7*t[7])/96 - (119*t[8])/96 - (847*t[9])/192 + (785*t[10])/96 + 
       (329*t[11])/96 - (335*t[12])/192 + (5741*t[13])/1728 + 
       (201*t[14])/64 + (4829*t[15])/1152 - t[26]/3 + (2*t[27])/3 - t[28]/3 - 
       (2*t[29])/3 + (2*t[30])/3 - (2*t[32])/3 + (2*t[33])/3 + t[34]/3 - 
       t[35] - (5*t[39])/6 + (4*t[40])/3 - t[41]/6 + t[42]/6 + 
       (35*t[43])/48 + t[44]/6 + (19*t[45])/24 + t[46]/4 - (9*t[47])/4 - 
       (37*t[48])/12 + (5*t[49])/6 - (3*t[50])/4 - (11*t[51])/48 - 
       (11*t[52])/12 - (5*t[53])/6 - (13*t[54])/12 - t[58]/3 + t[59]/8 + 
       (10*t[60])/3 + (83*t[61])/12 - (215*t[62])/48 + (487*t[63])/48 - 
       (97*t[64])/16 - (325*t[65])/144 - (419*t[66])/144 + (7*t[76])/3 + 
       (3*t[77])/4 - (4*t[78])/3 + (5*t[80])/12 + t[81] - (9*t[82])/8 - 
       t[84]/2 + (13*t[85])/6 - (3*t[86])/4 - (29*t[87])/6 - (29*t[88])/12 - 
       (11*t[89])/4 + t[97]/3 + 19*t[98] - 16*t[99] + (11*t[100])/4)*
      \[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      (t[1]/4 + (119*t[2])/8 + (107*t[3])/24 - (2099*t[4])/96 + 
       (547*t[5])/48 - (261*t[6])/16 + (35*t[7])/12 - (97*t[8])/24 + 
       (53*t[9])/16 + (197*t[10])/192 - (1015*t[11])/48 + (1061*t[12])/192 - 
       (8813*t[13])/864 - (9649*t[14])/1152 - (2665*t[15])/576 + 
       (4*t[18])/3 + (4*t[19])/3 + (5*t[21])/3 - (4*t[23])/3 + (7*t[24])/3 - 
       (2*t[25])/3 - (5*t[26])/12 + (17*t[27])/6 - (4*t[28])/3 - t[29]/6 + 
       (7*t[30])/6 - (10*t[31])/3 + t[34]/3 + (7*t[35])/3 - t[36]/2 + 
       t[37]/3 + (3*t[38])/4 - (2*t[39])/3 + (2*t[40])/3 + t[41]/3 + 
       t[42]/6 - (5*t[43])/3 - t[44]/3 - (5*t[45])/3 + (3*t[46])/8 + 
       (61*t[47])/12 + (37*t[48])/48 - (523*t[49])/64 - (179*t[50])/48 + 
       (409*t[51])/384 + (33*t[52])/16 + (539*t[53])/64 + (1349*t[54])/96 - 
       t[58]/3 - (5*t[59])/24 + (137*t[60])/96 - (673*t[61])/32 - 
       (709*t[62])/192 + (2725*t[63])/192 + (3487*t[64])/64 + 
       (305*t[65])/288 + (2425*t[66])/96 - (7*t[69])/3 - t[70]/3 + t[71]/3 - 
       t[72]/2 + (3*t[74])/2 - 3*t[75] + (23*t[76])/6 + t[77]/3 - 8*t[78] + 
       (11*t[79])/2 + (11*t[80])/3 - 4*t[81] + (13*t[82])/4 - (5*t[83])/2 + 
       (5*t[84])/32 + (203*t[85])/96 + (43*t[86])/4 - (239*t[87])/32 - 
       (239*t[88])/64 + (57*t[89])/64 + t[97]/3 + 19*t[98] - 16*t[99] + 
       (11*t[100])/4)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*(-t[1] + (15*t[2])/8 - (85*t[3])/24 - (65*t[4])/6 + 
       (113*t[5])/16 + (119*t[6])/16 + (149*t[7])/24 - (289*t[8])/24 - 
       (437*t[9])/48 + t[10]/24 + (985*t[11])/48 - (105*t[12])/16 + 
       (395*t[13])/72 + (641*t[14])/72 + (3299*t[15])/288 - t[25]/2 - 
       t[27]/2 + 4*t[31] - (3*t[35])/2 - (5*t[37])/2 + t[38]/2 + 
       (19*t[43])/3 + t[44] + (5*t[45])/2 + (3*t[46])/2 - 8*t[47] - 
       (57*t[48])/16 - (11*t[49])/12 + (85*t[50])/48 + (77*t[51])/24 - 
       (85*t[52])/48 + (11*t[53])/12 + (19*t[54])/48 - t[59]/4 + 
       (17*t[60])/2 + (45*t[61])/4 + (83*t[62])/48 - (1115*t[63])/48 - 
       (671*t[64])/24 + (47*t[65])/36 - (1303*t[66])/72 + (11*t[74])/2 + 
       3*t[75] - 2*t[76] + 3*t[78] - 7*t[79] + (23*t[80])/2 + (21*t[81])/4 - 
       (13*t[82])/4 - (7*t[83])/6 + (13*t[84])/12 + (43*t[85])/24 + t[86]/6 - 
       (203*t[87])/24 - (203*t[88])/48 - (91*t[89])/12 - 12*t[98] + 
       15*t[99] + (7*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*((5*t[1])/4 + (9*t[2])/8 + 
       (19*t[3])/4 + 4*t[4] + (93*t[5])/8 + (15*t[6])/2 - (57*t[7])/4 + 
       (27*t[8])/4 - (87*t[9])/8 - 7*t[10] - (71*t[11])/8 - (29*t[12])/8 - 
       (1657*t[13])/144 - (19*t[14])/4 - (25*t[15])/48 + (3*t[24])/2 - 
       (11*t[25])/2 + 4*t[26] + t[27]/2 + t[28]/2 - t[32]/2 - (7*t[35])/2 + 
       (3*t[38])/2 + t[39]/2 + t[40]/2 - t[41]/4 + t[42]/4 - t[43]/2 - 
       3*t[44] - 2*t[45] + (11*t[47])/2 + t[48]/4 - (7*t[49])/4 - t[50] - 
       t[51] + t[52] + (7*t[53])/4 + t[54] - t[59] - (25*t[60])/4 - 
       (27*t[61])/4 + (25*t[62])/4 + (81*t[63])/4 + (113*t[64])/4 - 
       (541*t[65])/24 + (433*t[66])/24 - 2*t[73] - 2*t[74] - 2*t[75] - 
       (3*t[78])/2 + 2*t[79] - t[80] - (17*t[81])/4 + (17*t[82])/4 + 
       (27*t[83])/4 - (27*t[84])/8 + (3*t[85])/4 - 15*t[86] + 8*t[87] + 
       4*t[88] + 3*t[89] - 12*t[98] + 15*t[99] + (7*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((2*t[1])/3 + (10*t[2])/3 - (165*t[3])/8 - (26*t[4])/3 + 
       (2663*t[5])/48 - (313*t[6])/24 + (431*t[7])/24 + (521*t[8])/24 - 
       (2183*t[9])/48 + (1039*t[10])/24 + (811*t[11])/24 - (1627*t[12])/48 + 
       (2665*t[13])/432 + (399*t[14])/16 + (13357*t[15])/288 - (5*t[26])/3 + 
       (10*t[27])/3 - (8*t[28])/3 - (10*t[29])/3 + (22*t[30])/3 - 16*t[31] - 
       (10*t[32])/3 + (10*t[33])/3 + (5*t[34])/3 - 36*t[35] + 8*t[37] - 
       (14*t[39])/3 + (20*t[40])/3 - (5*t[41])/6 + (5*t[42])/6 + 
       (139*t[43])/12 + (4*t[44])/3 + (29*t[45])/6 + t[46] - 13*t[47] - 
       (107*t[48])/12 + (29*t[49])/12 + (11*t[50])/4 + t[51]/24 - 
       (133*t[52])/12 - (29*t[53])/12 - (83*t[54])/12 - (5*t[58])/3 + 
       8*t[59] + (47*t[60])/3 + (244*t[61])/3 - (445*t[62])/12 + 
       (929*t[63])/12 - (59*t[64])/4 - (989*t[65])/36 + (233*t[66])/36 + 
       8*t[69] - 4*t[73] + 4*t[75] + (35*t[76])/3 + 3*t[77] - (20*t[78])/3 + 
       (13*t[80])/3 + 5*t[81] - (25*t[82])/2 - 4*t[83] - 2*t[84] - 
       (32*t[85])/3 + 7*t[86] - (35*t[87])/3 - (35*t[88])/6 - 20*t[89] + 
       (5*t[97])/3 + 120*t[98] - 128*t[99] + 5*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-103*t[1])/8 + (53*t[2])/6 + (37*t[3])/8 + (557*t[4])/32 - 
       (1673*t[5])/48 - (659*t[6])/24 + (152*t[7])/3 - (13*t[8])/12 + 
       (3049*t[9])/48 - (9517*t[10])/192 + (961*t[11])/16 + 
       (20347*t[12])/192 + (56759*t[13])/864 - (14765*t[14])/384 - 
       (19531*t[15])/576 - 4*t[24] + (10*t[25])/3 + (11*t[26])/6 - 
       (32*t[27])/3 - (29*t[28])/3 - (13*t[29])/3 + (13*t[30])/3 + 
       (26*t[31])/3 + t[32] - t[33] + (5*t[34])/12 - 7*t[35] - 
       (209*t[36])/6 - (22*t[37])/3 - (59*t[38])/12 - (43*t[39])/2 - 
       (17*t[40])/3 - (29*t[41])/24 + (29*t[42])/24 - (17*t[43])/3 + 
       t[44]/3 - (44*t[45])/3 - (355*t[46])/24 + (91*t[47])/3 - 
       (785*t[48])/24 - (1909*t[49])/64 - (395*t[50])/24 + (2407*t[51])/384 + 
       (169*t[52])/24 + (1701*t[53])/64 - (2839*t[54])/96 - (17*t[58])/12 - 
       (17*t[59])/2 + (6149*t[60])/96 - (12019*t[61])/96 - 
       (20051*t[62])/192 - (12239*t[63])/64 + (17787*t[64])/64 + 
       (15647*t[65])/288 + (4207*t[66])/96 - 6*t[69] + (8*t[70])/3 - 
       (8*t[71])/3 + 5*t[72] + 12*t[73] + (77*t[74])/6 - 25*t[75] + 
       (229*t[76])/12 + (73*t[77])/12 - (110*t[78])/3 + 38*t[79] + 
       (443*t[80])/6 - (25*t[81])/4 + (43*t[82])/6 - t[83] + 
       (2711*t[84])/96 + (4507*t[85])/96 + (785*t[86])/3 - (2791*t[87])/32 - 
       (5237*t[88])/192 + (6535*t[89])/192 + (4*t[95])/3 + (4*t[96])/3 + 
       (49*t[97])/12 + 103*t[98] - 55*t[99] + 11*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*(t[1]/2 + 9*t[2] + (287*t[3])/24 - 
       t[4]/3 + (113*t[5])/24 + (167*t[6])/48 - (71*t[7])/12 + 
       (265*t[8])/12 - (43*t[9])/4 - t[10]/2 - (361*t[11])/16 - 
       (275*t[12])/24 - (511*t[13])/72 - (817*t[14])/48 - (4613*t[15])/432 - 
       (4*t[18])/3 - 2*t[19] - (2*t[20])/3 - (8*t[21])/3 + (2*t[22])/3 + 
       (4*t[23])/3 + (7*t[24])/3 - t[25] - t[27]/3 - t[28] + (5*t[29])/2 - 
       2*t[30] + (4*t[31])/3 + (2*t[32])/3 + t[33]/3 - t[34] + 5*t[35] - 
       (2*t[36])/3 + 2*t[37] + t[38] - (5*t[39])/6 - (7*t[40])/6 - 
       (7*t[41])/6 + (5*t[42])/3 + t[43]/6 - 7*t[44] - (8*t[46])/3 + 
       4*t[47] + (209*t[48])/48 + (11*t[49])/12 - (455*t[50])/48 + t[51]/8 + 
       (455*t[52])/48 - (11*t[53])/12 + (295*t[54])/48 - t[59] - 
       (21*t[60])/8 - (203*t[61])/8 + (15*t[62])/8 - (97*t[63])/24 + 
       (717*t[64])/16 - (25*t[65])/4 + (149*t[66])/24 + (2*t[69])/3 + 
       (4*t[70])/3 - (4*t[71])/3 - (8*t[73])/3 + t[74] + (2*t[75])/3 - 
       2*t[76] - 2*t[78] + (5*t[79])/3 - (13*t[80])/3 - (8*t[81])/3 + 
       (2*t[82])/3 - t[83]/3 - (53*t[84])/24 + (71*t[85])/24 + 3*t[86] - 
       (41*t[87])/24 - (41*t[88])/48 + (505*t[89])/48 - 12*t[98] + 17*t[99] + 
       (101*t[100])/6)*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
      (2*t[99] + 18*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w]*((-13*t[2])/2 - 6*t[3] + (91*t[4])/4 - 
       (61*t[5])/3 - (37*t[6])/3 + (115*t[7])/2 - (211*t[8])/3 + 
       (271*t[9])/6 + (33*t[10])/8 + (259*t[11])/12 + (79*t[12])/24 - 
       (31*t[13])/12 + (5071*t[14])/144 + (1183*t[15])/72 - 2*t[18] - 
       4*t[19] - 4*t[21] + 4*t[23] - (26*t[24])/3 + (64*t[31])/3 + 2*t[37] - 
       6*t[41] + 5*t[42] + (17*t[43])/3 + 2*t[44] - 2*t[45] - 7*t[47] - 
       (239*t[48])/6 + (157*t[49])/24 + (89*t[50])/6 - (235*t[51])/48 - 
       (89*t[52])/6 - (157*t[53])/24 - (137*t[54])/4 + 49*t[60] + 
       (49*t[61])/6 + (311*t[62])/24 - (165*t[63])/8 - (391*t[64])/2 - 
       (409*t[65])/36 - (1265*t[66])/36 + 8*t[69] - 2*t[70] + 2*t[71] - 
       2*t[75] - 19*t[79] - 14*t[80] + 2*t[81] - 6*t[82] + (74*t[83])/3 - 
       (8*t[84])/3 + (65*t[85])/3 + (34*t[86])/3 - (137*t[87])/3 - 
       (137*t[88])/6 - (53*t[89])/2 + 2*t[99] + 18*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*Omega2[w, u, v]*(12*t[99] + 18*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*Omega2[w, u, v]*(t[1] + (49*t[2])/2 + 8*t[3] - 27*t[4] + 
       (43*t[5])/2 - (23*t[6])/2 + 5*t[7] - 9*t[8] - (3*t[9])/2 + 
       (19*t[10])/2 - 26*t[11] + 4*t[12] - (553*t[13])/36 - (5*t[14])/12 - 
       (3*t[15])/4 + 2*t[24] - 2*t[25] + 2*t[27] - 2*t[28] + 2*t[32] + 
       2*t[35] + 2*t[38] - 2*t[39] - 2*t[40] - t[41] + t[42] + 4*t[45] - 
       6*t[47] - (7*t[48])/2 - (13*t[49])/2 - t[50]/2 - (5*t[51])/4 + 
       t[52]/2 + (13*t[53])/2 + (11*t[54])/2 - 2*t[59] + 2*t[60] - 14*t[61] + 
       (41*t[62])/2 - (29*t[63])/2 - (21*t[64])/2 + (17*t[65])/6 + 
       (143*t[66])/6 + 8*t[74] + 2*t[78] - 4*t[80] - 5*t[81] + 5*t[82] - 
       t[83] + (3*t[84])/2 + 4*t[85] - 12*t[86] - 11*t[87] - (11*t[88])/2 - 
       (9*t[89])/2 + 12*t[99] + 18*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*(3*t[1] + 8*t[3] + 
       (147*t[4])/8 + (41*t[5])/4 - (139*t[6])/8 + (71*t[7])/4 + 
       (87*t[8])/4 - (65*t[9])/4 + (99*t[10])/16 + (171*t[11])/8 - 
       (293*t[12])/16 - (3041*t[13])/72 + (3809*t[14])/96 - (1115*t[15])/48 + 
       2*t[25] - 10*t[28] - 10*t[31] + 10*t[35] + 13*t[36] + 4*t[37] - 
       4*t[38] - 10*t[39] + 10*t[40] - 10*t[45] - 6*t[46] + 20*t[47] - 
       (11*t[48])/8 + (357*t[49])/16 + (69*t[50])/8 - (581*t[51])/32 - 
       (69*t[52])/8 - (309*t[53])/16 - 15*t[54] + t[59] - (101*t[60])/8 + 
       (15*t[61])/8 - (2441*t[62])/16 + (1465*t[63])/16 + (1123*t[64])/16 - 
       (1265*t[65])/24 + (175*t[66])/8 + 6*t[69] - 7*t[70] + 7*t[71] - 
       14*t[74] - 13*t[75] - 10*t[77] - 11*t[78] + t[79] + 14*t[80] - 
       (17*t[81])/2 + (23*t[82])/2 + (75*t[83])/2 - (77*t[84])/8 - 
       (31*t[85])/8 + 128*t[86] + (197*t[87])/8 + (245*t[88])/16 - 
       (779*t[89])/16 - 20*t[99] + 22*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*(-7*t[1] + 7*t[2] - 
       (91*t[3])/8 + 92*t[4] - (909*t[5])/16 - 8*t[6] - (163*t[7])/8 + 
       (219*t[8])/8 + (1137*t[9])/16 - (463*t[10])/8 + (65*t[11])/4 + 
       (301*t[12])/16 + (1519*t[13])/144 - (737*t[14])/48 - (4363*t[15])/96 - 
       2*t[24] + 2*t[25] - 23*t[31] - 9*t[35] + 2*t[37] - 2*t[38] - 
       16*t[43] - 8*t[44] - 28*t[45] - (25*t[46])/2 + 89*t[47] + 
       (113*t[48])/8 + (29*t[49])/4 + (49*t[50])/8 - (17*t[51])/4 - 
       (49*t[52])/8 - (29*t[53])/4 - (153*t[54])/8 + 4*t[59] + (9*t[60])/4 - 
       (69*t[61])/4 + (85*t[62])/8 + (99*t[63])/8 + (319*t[64])/8 - 
       (23*t[65])/4 + (547*t[66])/12 + 6*t[69] - 7*t[70] + 7*t[71] - t[74] + 
       2*t[75] - 3*t[77] - 2*t[78] - 8*t[79] + 6*t[80] - t[81]/2 + 
       (9*t[82])/2 - (23*t[83])/2 - 3*t[84] - (23*t[85])/4 + 2*t[86] + 
       (35*t[87])/4 + (35*t[88])/8 + (37*t[89])/8 - 20*t[99] + 22*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
      (-12*t[98] + 17*t[99] + (137*t[100])/6)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      ((13*t[2])/3 + (83*t[3])/12 - (269*t[4])/6 + (113*t[5])/6 - 
       (287*t[6])/12 + (17*t[7])/2 - (140*t[8])/3 - (20*t[9])/3 + 
       (199*t[10])/12 - (31*t[11])/2 + (223*t[12])/12 - (1141*t[13])/72 - 
       (7*t[14])/8 + (925*t[15])/72 + (4*t[19])/3 - (8*t[21])/3 + 
       (8*t[23])/3 - (4*t[24])/3 + (8*t[27])/3 - t[28] + 2*t[30] + 
       (8*t[31])/3 + (26*t[35])/3 - t[37]/3 - (3*t[41])/2 + (3*t[42])/2 + 
       (11*t[43])/6 + 7*t[44] + (29*t[45])/3 + (19*t[46])/3 - 18*t[47] - 
       (61*t[48])/6 - (113*t[49])/12 + 7*t[50] - (53*t[51])/24 - 7*t[52] + 
       (113*t[53])/12 + (19*t[54])/6 + 6*t[60] - (73*t[61])/6 + 
       (457*t[62])/12 + (43*t[63])/12 - (206*t[64])/3 + (377*t[65])/18 + 
       (599*t[66])/18 + (8*t[69])/3 + 2*t[73] + 7*t[74] + 2*t[75] + 2*t[76] + 
       t[78]/3 + (16*t[79])/3 - 12*t[80] - (8*t[81])/3 + (17*t[82])/3 - 
       (53*t[83])/6 + (17*t[84])/6 + (7*t[85])/2 - 15*t[86] - (131*t[87])/6 - 
       (131*t[88])/12 - (89*t[89])/6 + 12*t[98] - (26*t[99])/3 + 25*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((-10*t[3])/3 - t[4]/6 - (55*t[5])/12 + (57*t[6])/16 - (15*t[7])/4 - 
       (7*t[8])/4 + (31*t[9])/12 + (28*t[10])/3 - (171*t[11])/16 - 
       (29*t[12])/8 - (973*t[13])/216 - (5*t[14])/8 + (527*t[15])/72 - 
       2*t[29] + 2*t[30] + (3*t[31])/2 - t[35] - (16*t[36])/3 - (8*t[40])/3 + 
       t[43]/3 + (8*t[45])/3 - (35*t[46])/12 - (16*t[47])/3 - (23*t[48])/16 + 
       t[49]/3 - (61*t[50])/48 + (37*t[51])/48 + (61*t[52])/48 - t[53]/3 + 
       (55*t[54])/16 + (101*t[60])/24 + (161*t[61])/24 + (551*t[62])/24 - 
       (29*t[63])/24 - (1187*t[64])/48 - (131*t[65])/72 + (587*t[66])/24 - 
       10*t[73] + (9*t[74])/2 + (10*t[75])/3 + (4*t[77])/3 + (4*t[78])/3 - 
       (11*t[79])/6 - (8*t[80])/3 - (35*t[81])/12 + (35*t[82])/12 + t[83]/2 + 
       (5*t[84])/4 + (17*t[85])/24 - (29*t[86])/2 - (47*t[87])/8 - 
       (47*t[88])/16 - (25*t[89])/48 + 12*t[98] - (26*t[99])/3 + 25*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((15*t[1])/4 + (53*t[2])/8 + (31*t[3])/2 - (295*t[4])/32 + 17*t[5] - 
       (223*t[6])/16 + (57*t[7])/8 + (91*t[8])/8 - (263*t[9])/8 - 
       (3475*t[10])/64 + (13*t[11])/2 - (679*t[12])/64 + (4735*t[13])/288 - 
       (5387*t[14])/128 - (2981*t[15])/576 - 4*t[25] - (27*t[26])/4 + 
       (3*t[27])/2 - 2*t[28] - (7*t[29])/2 - (7*t[30])/2 + 2*t[31] + 
       2*t[34] + 15*t[35] - t[36]/2 + 2*t[37] + (39*t[38])/4 - 3*t[39] + 
       2*t[40] - t[41] + t[42] + 2*t[44] - 4*t[45] - (25*t[46])/8 + 8*t[47] + 
       (79*t[48])/16 - (1209*t[49])/64 + (199*t[50])/16 + (1201*t[51])/128 - 
       (167*t[52])/16 + (649*t[53])/64 - (635*t[54])/32 - (67*t[59])/8 - 
       (649*t[60])/32 - (2321*t[61])/32 + (1407*t[62])/64 - (1119*t[63])/64 + 
       (2947*t[64])/64 + (5357*t[65])/96 + (5239*t[66])/96 - 4*t[69] + 
       (3*t[72])/2 + (11*t[74])/2 - 7*t[75] - (9*t[76])/2 - 4*t[77] - 
       4*t[78] - 2*t[79] + 7*t[80] - (27*t[81])/2 + (95*t[82])/4 + 11*t[83] + 
       (861*t[84])/32 + (617*t[85])/32 + 56*t[86] + (1153*t[87])/32 + 
       (1665*t[88])/64 + (181*t[89])/64 - 8*t[95] - 6*t[96] - 4*t[97] - 
       69*t[98] + 69*t[99] + 27*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*((-3*t[1])/8 - (61*t[2])/8 + 
       (139*t[3])/32 + (113*t[4])/8 + (1037*t[5])/64 + (291*t[6])/32 - 
       (1155*t[7])/32 - (717*t[8])/32 - (2085*t[9])/64 + (259*t[10])/32 - 
       (1261*t[11])/32 - (773*t[12])/64 + (8983*t[13])/576 - 
       (6973*t[14])/192 - (11059*t[15])/1152 + 4*t[19] - 4*t[21] - 2*t[22] + 
       4*t[23] - 2*t[25] - 5*t[28] - 2*t[30] + 6*t[31] - 2*t[32] + 2*t[33] - 
       8*t[34] + 19*t[35] - 8*t[37] + 4*t[38] - (7*t[39])/2 + 5*t[40] + 
       3*t[41] - 3*t[42] - (23*t[43])/16 - t[44]/2 - (39*t[45])/8 - 
       (11*t[46])/4 - (21*t[47])/4 - t[48]/4 - (5*t[49])/4 + (3*t[50])/4 + 
       (81*t[51])/16 - (27*t[52])/4 + (5*t[53])/4 - (7*t[54])/4 - 
       (7*t[59])/8 - 22*t[60] - (371*t[61])/4 + (1439*t[62])/16 - 
       (583*t[63])/16 + (67*t[64])/16 - (1511*t[65])/48 + (3151*t[66])/48 + 
       8*t[74] - 7*t[76] + (3*t[77])/4 + 4*t[78] + (75*t[80])/4 - 7*t[81] + 
       (59*t[82])/8 + (3*t[84])/2 - (25*t[85])/2 - (55*t[86])/4 + 
       (41*t[87])/2 + (41*t[88])/4 + (25*t[89])/4 - t[97] - 69*t[98] + 
       69*t[99] + 27*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*(-32*t[98] + 12*t[99] + (55*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (-5*t[1] - (27*t[2])/2 - 15*t[3] - 40*t[4] - (503*t[5])/8 - 
       (1101*t[6])/16 - (57*t[7])/2 - (203*t[8])/2 - (103*t[9])/8 + 
       (185*t[10])/4 - (593*t[11])/16 + (153*t[12])/4 - (181*t[13])/9 - 
       (281*t[14])/6 - (2381*t[15])/144 - 20*t[21] + 4*t[22] + 20*t[23] - 
       8*t[24] + 8*t[25] + 2*t[26] + 4*t[27] - 8*t[28] - 8*t[29] + 2*t[30] - 
       (11*t[31])/2 + 2*t[32] - 10*t[33] - 16*t[34] + 24*t[35] - 8*t[36] - 
       2*t[37] - 5*t[38] - 6*t[39] + 19*t[40] - 10*t[41] + 10*t[42] + 
       (5*t[43])/2 + 12*t[44] + 40*t[45] - (47*t[46])/4 - 33*t[47] - 
       (313*t[48])/16 - (33*t[49])/2 - (177*t[50])/16 + (185*t[51])/16 - 
       (47*t[52])/16 + (33*t[53])/2 + (257*t[54])/16 + 8*t[57] + 2*t[58] + 
       (3*t[59])/2 + (205*t[60])/8 - (917*t[61])/8 + 5*t[62] + 
       (165*t[63])/4 + (79*t[64])/16 + (2023*t[65])/24 + (225*t[66])/8 + 
       4*t[69] + 4*t[73] - (7*t[74])/2 - 40*t[75] + 6*t[76] - 2*t[77] - 
       5*t[78] + 26*t[79] - 9*t[80] + t[81]/4 - (53*t[82])/4 + (41*t[83])/2 - 
       (41*t[84])/4 + (61*t[85])/8 + 39*t[86] + (183*t[87])/8 + 
       (183*t[88])/16 + (257*t[89])/16 - 6*t[97] - 32*t[98] + 12*t[99] + 
       (55*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      (-6*t[1] - (5*t[2])/2 + (63*t[3])/2 - (143*t[4])/8 + 17*t[5] - 
       (129*t[6])/4 - (65*t[7])/2 - (151*t[8])/2 - (43*t[9])/2 - 
       (491*t[10])/16 - 55*t[11] - (271*t[12])/16 - (563*t[13])/72 - 
       (7105*t[14])/96 - (1121*t[15])/144 + 2*t[25] - 7*t[26] - 2*t[27] - 
       8*t[28] - 2*t[30] + 18*t[31] + 4*t[34] + 12*t[35] + 2*t[36] + 
       8*t[37] + 2*t[38] - 5*t[39] + 4*t[40] - 2*t[41] + 2*t[42] + t[43] + 
       6*t[44] + (5*t[46])/2 - (65*t[48])/4 - (145*t[49])/16 + (3*t[50])/4 + 
       (145*t[51])/32 - (35*t[52])/4 + (97*t[53])/16 + (5*t[54])/8 - 
       2*t[58] - (19*t[59])/2 - (385*t[60])/8 - (1041*t[61])/8 + 
       (1307*t[62])/16 + (1941*t[63])/16 - (141*t[64])/16 + (223*t[65])/8 + 
       (2431*t[66])/24 - 10*t[72] - 2*t[74] - 4*t[75] + 8*t[76] - 6*t[78] + 
       22*t[79] - 12*t[80] - 3*t[81] + 18*t[82] + 6*t[83] - (39*t[84])/8 + 
       (185*t[85])/8 - 26*t[86] + (41*t[87])/8 + (41*t[88])/16 - 
       (323*t[89])/16 - 6*t[96] - 2*t[97] + 14*t[98] + 6*t[99] + 32*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      (-6*t[98] - 14*t[99] + 38*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*((15*t[1])/4 - (57*t[2])/4 - 
       (31*t[3])/16 + (319*t[4])/16 + (19*t[5])/16 + (455*t[6])/32 - 
       (155*t[7])/16 - (595*t[8])/16 + (361*t[9])/16 + (529*t[10])/32 - 
       (145*t[11])/32 + (653*t[12])/32 + (12013*t[13])/288 - 
       (3851*t[14])/192 - (1013*t[15])/288 + 6*t[21] + t[22] - 6*t[23] - 
       (5*t[24])/2 + (15*t[25])/2 - 6*t[26] - t[27]/2 + 3*t[28] + t[29]/4 - 
       (7*t[30])/2 - 2*t[32] + (11*t[33])/2 + (5*t[34])/2 - 12*t[35] + 
       10*t[36] - 2*t[37] + t[39]/2 - (9*t[40])/2 + (19*t[41])/4 - 
       (19*t[42])/4 + (29*t[43])/16 + (31*t[44])/8 - (103*t[45])/8 - 
       3*t[46] + (57*t[47])/4 - (321*t[48])/32 - (203*t[49])/32 + 
       (131*t[50])/32 + (121*t[51])/64 + (109*t[52])/32 + (219*t[53])/32 - 
       (285*t[54])/32 - 3*t[57] - t[58]/2 + (11*t[59])/4 + (317*t[60])/16 + 
       (227*t[61])/16 + (1203*t[62])/32 + (157*t[63])/32 - (901*t[64])/32 - 
       (251*t[65])/48 - (301*t[66])/16 + t[73] - 27*t[74] + 11*t[75] - 
       (5*t[76])/2 + (3*t[77])/2 - (15*t[79])/2 + 2*t[80] + (11*t[81])/2 - 
       8*t[82] - (3*t[83])/2 + (19*t[84])/16 + (163*t[85])/16 - 
       (19*t[86])/2 - (147*t[87])/16 - (147*t[88])/32 + (23*t[89])/32 + 
       (3*t[97])/2 - 6*t[98] - 14*t[99] + 38*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-7*t[1])/4 + (9*t[2])/8 - (1261*t[3])/48 + (119*t[4])/6 - 
       (3845*t[5])/48 - (4247*t[6])/96 + (4571*t[7])/48 - (2089*t[8])/16 + 
       (5003*t[9])/48 - (95*t[10])/16 + (1143*t[11])/32 + (1693*t[12])/48 + 
       (9347*t[13])/288 + (9779*t[14])/288 - (3091*t[15])/144 + 2*t[19] + 
       2*t[20] - 3*t[22] - (67*t[24])/6 + 3*t[25] - t[26] - (2*t[27])/3 - 
       (35*t[28])/3 - (97*t[29])/12 + (37*t[30])/3 + (64*t[31])/3 + 3*t[32] - 
       t[33]/2 + 4*t[34] + 26*t[35] + (5*t[36])/2 - 13*t[37] - 2*t[38] - 
       (7*t[39])/3 - 4*t[40] + (3*t[41])/2 - (3*t[42])/2 + (119*t[43])/48 + 
       (701*t[44])/24 + t[45]/2 - t[46]/4 - (3*t[47])/2 - (4951*t[48])/96 - 
       (47*t[49])/24 + (999*t[50])/32 + t[51]/8 - (903*t[52])/32 + 
       (47*t[53])/24 - (751*t[54])/32 - 3*t[57] - (7*t[59])/4 + 
       (2755*t[60])/48 + (983*t[61])/48 - (211*t[62])/6 - (989*t[63])/24 - 
       (12467*t[64])/96 - (95*t[65])/24 - (947*t[66])/16 + 2*t[69] + 
       (4*t[72])/3 + 6*t[73] - t[74] + 4*t[75] + 2*t[76] + (5*t[77])/4 + 
       11*t[78] - 11*t[79] + (7*t[80])/4 + (47*t[81])/6 - (47*t[82])/12 + 
       12*t[83] + (47*t[84])/16 + (1249*t[85])/48 + (1511*t[86])/24 - 
       (1801*t[87])/48 - (1801*t[88])/96 - (1919*t[89])/96 - 16*t[98] + 
       26*t[99] + 50*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2*((-8*t[1])/3 - (7*t[2])/3 + (43*t[3])/8 - 
       (10*t[4])/3 - (1169*t[5])/48 - (221*t[6])/24 - (449*t[7])/24 - 
       (671*t[8])/24 - (487*t[9])/48 + (1127*t[10])/24 - (1081*t[11])/24 + 
       (157*t[12])/48 + (1889*t[13])/432 - (1091*t[14])/48 - 
       (1339*t[15])/288 - 2*t[25] - t[26]/3 + (2*t[27])/3 - (16*t[28])/3 - 
       (2*t[29])/3 + (14*t[30])/3 + 16*t[31] - (2*t[32])/3 + (2*t[33])/3 + 
       t[34]/3 + 20*t[35] - 8*t[37] + 2*t[38] - (10*t[39])/3 + (4*t[40])/3 - 
       t[41]/6 + t[42]/6 - (145*t[43])/12 + (8*t[44])/3 + (55*t[45])/6 - 
       3*t[46] - 19*t[47] - (217*t[48])/12 + (37*t[49])/12 + (17*t[50])/4 + 
       (89*t[51])/24 - (71*t[52])/12 - (37*t[53])/12 - (37*t[54])/12 - 
       t[58]/3 - 9*t[59] - (20*t[60])/3 - (187*t[61])/3 + (115*t[62])/3 + 
       (70*t[63])/3 - (217*t[64])/4 + (449*t[65])/36 + (3319*t[66])/36 - 
       8*t[69] - 8*t[73] + 8*t[75] + (7*t[76])/3 + 3*t[77] - (4*t[78])/3 - 
       (115*t[80])/3 - 5*t[81] + (15*t[82])/2 + 24*t[83] - 11*t[84] + 
       (23*t[85])/3 - 37*t[86] + (20*t[87])/3 + (10*t[88])/3 + (9*t[89])/2 + 
       t[97]/3 + 28*t[98] - 36*t[99] + 53*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (t[1]/2 - (29*t[2])/4 + (9*t[3])/4 + (9*t[4])/2 - 57*t[5] - 
       (89*t[6])/16 + (37*t[7])/2 - (151*t[8])/4 + (265*t[9])/8 - 
       (69*t[10])/8 - (95*t[11])/16 + (123*t[12])/8 + (1291*t[13])/72 - 
       (217*t[14])/12 - (1775*t[15])/48 - 2*t[24] - 2*t[26] - 4*t[27] - 
       13*t[28] + t[29] - 3*t[30] + 9*t[31] + t[32] + t[33] + 2*t[34] + 
       9*t[35] + t[36] - 8*t[37] + t[38] - 11*t[39] + t[40]/2 - t[41]/2 + 
       t[42]/2 + t[43]/2 + (27*t[44])/2 - 7*t[45] - (15*t[46])/2 + 16*t[47] - 
       (423*t[48])/16 - (105*t[49])/8 + (133*t[50])/16 + (77*t[51])/16 - 
       (101*t[52])/16 + (69*t[53])/8 + (75*t[54])/16 - 5*t[59] + 
       (91*t[60])/4 - (109*t[61])/2 - (571*t[62])/8 + (27*t[63])/8 + 
       (89*t[64])/4 - (33*t[65])/2 - (113*t[66])/6 + 3*t[72] + 2*t[73] - 
       9*t[74] - 43*t[75] + 2*t[76] - 2*t[77] - 24*t[78] + 12*t[79] + 
       6*t[80] - (9*t[81])/2 - t[82]/2 + (45*t[83])/2 + (27*t[84])/2 + 
       (177*t[85])/4 + 88*t[86] - t[87] + (7*t[88])/2 - (13*t[89])/8 - 
       3*t[96] - 2*t[97] + 16*t[98] - 34*t[99] + 53*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*(-4*t[1] + 16*t[2] + 
       (363*t[3])/4 - (95*t[4])/4 + 84*t[5] + (133*t[6])/8 - (511*t[7])/4 - 
       (223*t[8])/4 - (367*t[9])/2 + (795*t[10])/8 - (2511*t[11])/8 - 
       (1031*t[12])/8 - (9281*t[13])/72 - (6485*t[14])/48 - (511*t[15])/18 - 
       8*t[18] - 4*t[19] - 4*t[21] - 2*t[22] + 12*t[23] + 8*t[24] - t[26] - 
       4*t[27] - t[29] - 8*t[31] + 10*t[32] - 2*t[33] - 18*t[34] - 16*t[35] + 
       8*t[36] + 8*t[37] + 4*t[38] + 6*t[39] + 16*t[40] - 22*t[41] + 
       10*t[42] + (51*t[43])/4 - (7*t[44])/2 + (57*t[45])/2 - 15*t[46] - 
       63*t[47] + (537*t[48])/8 + (83*t[49])/8 - (379*t[50])/8 + 
       (107*t[51])/16 + (219*t[52])/8 - (99*t[53])/8 + (253*t[54])/8 + 
       8*t[57] - 3*t[58] - 98*t[60] - 209*t[61] + (357*t[62])/2 + 
       (43*t[63])/2 - (249*t[64])/2 - (332*t[65])/3 + (680*t[66])/3 + 
       12*t[70] - 12*t[71] + 12*t[74] - 24*t[76] - 8*t[77] + 12*t[78] - 
       32*t[80] - 18*t[81] + 18*t[82] - 9*t[84] - 34*t[85] - 42*t[86] + 
       64*t[87] + 32*t[88] - 35*t[89] - 144*t[98] + 156*t[99] + 54*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      (-15*t[1] + 4*t[2] - (237*t[3])/4 + (81*t[4])/2 - (775*t[5])/8 + 
       (99*t[6])/8 - (77*t[7])/4 + (125*t[8])/4 + (509*t[9])/8 - 
       (71*t[10])/4 + (225*t[11])/8 + (415*t[12])/8 + (2579*t[13])/72 + 
       (4363*t[14])/24 + (5431*t[15])/144 + 8*t[24] + 24*t[25] - 10*t[26] - 
       12*t[27] + 16*t[28] + 2*t[29] + 12*t[30] + 12*t[31] - 8*t[32] + 
       16*t[33] + 6*t[34] - 22*t[36] - 16*t[37] - 16*t[38] + t[39] + 
       5*t[40] - 5*t[41] + 5*t[42] + (11*t[43])/2 + t[44] + (5*t[45])/2 + 
       16*t[46] - 13*t[47] + (151*t[48])/8 - 25*t[49] - (309*t[50])/8 - 
       (155*t[51])/8 + (261*t[52])/8 - t[53] + (293*t[54])/8 - 2*t[58] + 
       10*t[59] + (1431*t[60])/4 + (1093*t[61])/4 + (195*t[62])/8 + 
       (301*t[63])/8 - (2887*t[64])/8 + (1043*t[65])/12 - (569*t[66])/4 + 
       4*t[70] - 4*t[71] + 16*t[73] + 14*t[74] + 24*t[75] - 21*t[76] + 
       10*t[77] + 71*t[78] - 80*t[79] + 46*t[80] + 37*t[81] - 48*t[82] - 
       70*t[83] + (477*t[84])/4 + (199*t[85])/4 - 83*t[86] - (823*t[87])/4 - 
       (407*t[88])/8 + (297*t[89])/8 - 12*t[95] - 28*t[96] - 6*t[97] - 
       144*t[98] + 156*t[99] + 54*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      (-t[1] + (3*t[2])/2 - (9*t[3])/2 + (9*t[4])/2 - (5*t[5])/2 - 
       (19*t[6])/8 + 11*t[7] - (3*t[8])/2 + (13*t[9])/2 + 16*t[10] + 
       (39*t[11])/8 + (125*t[13])/18 - (67*t[14])/24 + (257*t[15])/72 + 
       2*t[30] - 4*t[35] - 2*t[40] - 2*t[43] + 2*t[44] + t[45]/2 - t[47] - 
       (33*t[48])/8 + t[49]/2 + (51*t[50])/8 + (3*t[51])/4 - (51*t[52])/8 - 
       t[53]/2 - (63*t[54])/8 - t[59] + (17*t[60])/4 + (15*t[61])/4 - 
       (41*t[62])/4 + (7*t[63])/4 - (59*t[64])/8 - (71*t[65])/6 + 
       (34*t[66])/3 - 2*t[73] + 2*t[75] + 6*t[77] - 16*t[80] - t[81] + 
       6*t[83] - t[84]/4 - (11*t[85])/4 + 10*t[86] + (17*t[87])/4 + 
       (17*t[88])/8 - (29*t[89])/8 + 12*t[98] - 10*t[99] + (135*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*
      ((9*t[3])/4 + (9*t[4])/4 + (17*t[5])/4 + (15*t[6])/4 - 4*t[7] + 
       2*t[8] + (13*t[9])/2 - (29*t[10])/8 - (7*t[11])/2 - (13*t[12])/8 - 
       (5*t[13])/4 - (13*t[14])/48 - (23*t[15])/4 + 3*t[28] - 2*t[30] - 
       t[31] + 2*t[39] + t[43]/2 - 3*t[44] - t[45] - (3*t[46])/2 + 3*t[47] + 
       (7*t[48])/2 + (13*t[49])/8 - (5*t[50])/2 + t[51]/16 + (5*t[52])/2 - 
       (13*t[53])/8 + (3*t[54])/4 - t[60] - 2*t[61] + 2*t[62] + 2*t[63] + 
       2*t[64] - (7*t[65])/3 - t[89] + 24*t[98] - 24*t[99] + (293*t[100])/4)*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      (t[1]/4 + (63*t[2])/2 + (25*t[3])/4 - (1317*t[4])/16 + (113*t[5])/4 - 
       (427*t[6])/8 + t[7]/4 - (429*t[8])/8 + (15*t[9])/4 - (991*t[10])/32 - 
       (749*t[11])/16 + (657*t[12])/32 - (565*t[13])/24 + (3727*t[14])/192 + 
       (1715*t[15])/96 - t[19] - t[20] - t[21] + t[23] + 7*t[24] + 4*t[25] - 
       3*t[26] + 4*t[27] - 3*t[28] + 3*t[29] + 4*t[30] + 8*t[31] - 2*t[32] + 
       8*t[33] + (3*t[34])/2 + 14*t[35] - 5*t[36] - 7*t[37] - (5*t[38])/2 - 
       3*t[39] + 6*t[40] - (13*t[41])/4 + (13*t[42])/4 + (27*t[43])/4 - 
       (3*t[45])/4 + 9*t[46] - (19*t[47])/4 - (67*t[48])/8 - (545*t[49])/32 - 
       (135*t[50])/8 - (559*t[51])/64 + (75*t[52])/8 + (513*t[53])/32 + 
       (471*t[54])/16 - 2*t[58] - t[59] + (129*t[60])/4 - (457*t[61])/8 + 
       (2507*t[62])/32 + (2061*t[63])/32 - (49*t[64])/4 + (755*t[65])/16 + 
       (3875*t[66])/48 - 4*t[72] + 7*t[74] + 6*t[75] + 10*t[76] + 6*t[78] - 
       13*t[79] + (39*t[80])/2 - (13*t[81])/2 + 3*t[82] - 4*t[83] - t[84]/2 + 
       (41*t[85])/4 - (39*t[86])/2 - (163*t[87])/4 - (163*t[88])/8 - 
       (47*t[89])/8 - (3*t[97])/2 + 24*t[98] - 24*t[99] + (293*t[100])/4)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      (-4*t[1] - 11*t[2] + (109*t[3])/6 - (709*t[4])/24 + (983*t[5])/24 - 
       (1037*t[6])/48 + (295*t[7])/6 - 10*t[8] - (189*t[9])/8 - 
       (893*t[10])/48 - (809*t[11])/48 + (91*t[12])/48 - (215*t[13])/9 - 
       (13531*t[14])/288 - (7*t[15])/2 - 2*t[19] - 3*t[21] + 3*t[23] - 
       (4*t[24])/3 - t[25] + t[26] - 3*t[27] - 4*t[28] + 4*t[30] + 
       (31*t[31])/6 + 2*t[32] + 5*t[35] + 3*t[37] - 4*t[39] - 2*t[40] - 
       (7*t[41])/2 + (7*t[42])/2 + (5*t[43])/4 + t[44] + t[45] + t[46]/4 + 
       8*t[47] - (857*t[48])/48 - t[49]/16 + (991*t[50])/48 + (79*t[51])/32 - 
       (991*t[52])/48 + t[53]/16 - (1093*t[54])/48 - 3*t[59] - 
       (271*t[60])/8 - (1153*t[61])/24 - (119*t[62])/16 - (2839*t[63])/48 - 
       (221*t[64])/48 - (40*t[65])/9 + (3923*t[66])/72 + 3*t[69] - 2*t[72] + 
       (23*t[74])/2 - 2*t[75] - 12*t[78] - 3*t[79] - t[80] - (53*t[81])/4 + 
       (53*t[82])/4 + (43*t[83])/2 - (44*t[84])/3 - (53*t[85])/24 + 
       27*t[86] + (91*t[87])/8 + (91*t[88])/16 - (779*t[89])/48 + 12*t[98] - 
       10*t[99] + (147*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*(2*t[1] - 37*t[2] + 24*t[3] + 55*t[4] + 
       39*t[5] + (69*t[6])/4 - (9*t[7])/2 - (43*t[8])/2 - 43*t[9] - 
       (353*t[10])/2 + (73*t[11])/4 - (95*t[12])/2 + (439*t[13])/6 + 
       (97*t[14])/12 - 35*t[15] + 8*t[24] + 4*t[25] - 12*t[27] + 26*t[31] + 
       32*t[35] + 8*t[37] - 4*t[38] + 5*t[43] - 2*t[44] - 6*t[45] - 
       24*t[46] + 10*t[47] - (47*t[48])/4 + 72*t[49] + t[50]/4 - 
       (29*t[51])/2 - t[52]/4 - 72*t[53] - (357*t[54])/4 + 13*t[59] - 
       (63*t[60])/2 - t[61]/2 - 31*t[62] + 149*t[63] + (357*t[64])/4 - 
       (271*t[65])/2 - (335*t[66])/6 - 58*t[74] - 6*t[75] - 2*t[78] - 
       45*t[79] + 12*t[80] - 3*t[81] + 3*t[82] + 22*t[83] - 20*t[84] + 
       (23*t[85])/2 + 63*t[86] + (69*t[87])/2 + (69*t[88])/4 + (89*t[89])/4 + 
       90*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((17*t[1])/2 - (467*t[2])/3 - (119*t[3])/3 + (3677*t[4])/24 - 
       (845*t[5])/6 + (751*t[6])/4 - 117*t[7] + (848*t[8])/3 - (931*t[9])/6 - 
       (3517*t[10])/16 + (509*t[11])/6 + (695*t[12])/16 + (6895*t[13])/72 - 
       (14297*t[14])/288 - (10363*t[15])/144 + (58*t[19])/3 + 4*t[20] + 
       28*t[21] - 4*t[22] - 28*t[23] + 2*t[24] - (16*t[25])/3 + 
       (26*t[26])/3 - (50*t[27])/3 + (172*t[28])/3 - (22*t[29])/3 + 
       (154*t[30])/3 - (28*t[31])/3 + 8*t[32] + 62*t[33] - (31*t[34])/3 + 
       2*t[35] - 34*t[36] - 12*t[37] - 4*t[38] + (8*t[39])/3 - (2*t[40])/3 + 
       (157*t[41])/6 - (157*t[42])/6 + (13*t[43])/3 + (91*t[44])/3 - 
       40*t[45] - (49*t[46])/6 + 96*t[47] + (431*t[48])/4 + (145*t[49])/16 - 
       (237*t[50])/4 + (385*t[51])/96 + (635*t[52])/12 - (161*t[53])/16 + 
       (131*t[54])/8 - 4*t[57] + (22*t[58])/3 + (47*t[59])/6 - 
       (41*t[60])/24 + (1701*t[61])/8 + (2411*t[62])/48 - (1905*t[63])/16 + 
       (4063*t[64])/48 + (9901*t[65])/72 - (3223*t[66])/24 - 8*t[69] + 
       4*t[72] + 4*t[73] - 42*t[74] + 52*t[75] - (79*t[76])/3 + 
       (20*t[77])/3 + (121*t[78])/3 - 52*t[79] + 75*t[80] + (91*t[81])/3 - 
       (25*t[82])/3 - 88*t[83] + (323*t[84])/24 - (917*t[85])/24 - 
       (577*t[86])/6 + (1393*t[87])/8 + (1393*t[88])/16 + (4669*t[89])/48 - 
       4*t[95] - (13*t[97])/3 - 108*t[98] - 40*t[99] + 104*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-17*t[1])/6 + (35*t[2])/6 - (97*t[3])/8 + (157*t[4])/12 - 
       (4105*t[5])/48 + (274*t[6])/3 - (493*t[7])/24 + (809*t[8])/24 + 
       (4669*t[9])/48 + (647*t[10])/12 - (1363*t[11])/12 + (2387*t[12])/48 - 
       (13871*t[13])/432 + (53*t[14])/8 - (22243*t[15])/288 - 12*t[24] + 
       4*t[25] - (2*t[26])/3 - (68*t[27])/3 - (68*t[28])/3 - (10*t[29])/3 + 
       (22*t[30])/3 + 2*t[31] + (26*t[32])/3 - (26*t[33])/3 - (4*t[34])/3 + 
       4*t[35] + 8*t[36] - 2*t[38] - (26*t[39])/3 - (13*t[40])/3 + 
       (5*t[41])/3 - (5*t[42])/3 - (251*t[43])/12 - (35*t[44])/3 - 
       (103*t[45])/6 - 18*t[46] + 41*t[47] + (413*t[48])/24 - 
       (257*t[49])/24 - (189*t[50])/8 + (173*t[51])/48 + (727*t[52])/24 + 
       (257*t[53])/24 + (473*t[54])/24 + (4*t[58])/3 - t[59]/2 + 
       (80*t[60])/3 - (62*t[61])/3 + (917*t[62])/12 - (481*t[63])/12 - 
       (449*t[64])/4 + (1543*t[65])/36 + (2405*t[66])/36 - 20*t[74] - 
       (28*t[76])/3 - 17*t[77] + (4*t[78])/3 - (155*t[80])/3 + 6*t[81] - 
       (23*t[82])/2 + 6*t[84] - (11*t[85])/3 - 41*t[86] + (31*t[87])/3 + 
       (31*t[88])/6 + (49*t[89])/2 - (4*t[97])/3 - 108*t[98] - 40*t[99] + 
       104*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-57*t[3])/2 - 78*t[4] + (169*t[5])/2 + (125*t[6])/2 + (33*t[7])/2 + 
       135*t[8] - (55*t[9])/2 + 184*t[10] - (17*t[11])/2 - 19*t[12] + 
       (5*t[13])/2 + (167*t[14])/3 + (193*t[15])/4 - 10*t[25] + 8*t[26] - 
       4*t[30] - 8*t[31] - 8*t[35] + 4*t[37] + 2*t[38] - 6*t[40] + 
       (33*t[43])/2 + (51*t[45])/2 + 2*t[46] - 51*t[47] + (29*t[48])/2 - 
       4*t[49] - (7*t[50])/2 + (7*t[51])/2 + (7*t[52])/2 + 4*t[53] + 
       (19*t[54])/2 + 9*t[59] + 15*t[60] + 184*t[61] - (789*t[62])/4 - 
       (103*t[63])/4 - (215*t[64])/4 + 30*t[65] - (187*t[66])/3 + 4*t[69] - 
       6*t[72] + 18*t[77] + 20*t[79] - 89*t[80] - 4*t[81] + 4*t[82] + 
       12*t[83] - 7*t[84] - 13*t[85] + 49*t[86] + 29*t[87] + (29*t[88])/2 - 
       t[89]/2 + 38*t[99] + 124*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*(-10*t[1] - 14*t[2] + 51*t[3] - 
       (305*t[4])/4 + t[5] + (55*t[6])/4 - (19*t[7])/2 + (281*t[8])/2 - 
       50*t[9] - (1673*t[10])/8 - (39*t[11])/4 - (161*t[12])/8 - 
       (185*t[13])/4 - (4721*t[14])/48 - (87*t[15])/8 + 16*t[24] - 10*t[25] + 
       26*t[31] + 18*t[35] + 5*t[37] + 10*t[38] - 16*t[43] - 16*t[44] - 
       6*t[45] + 48*t[46] + 20*t[47] - (9*t[48])/4 - (259*t[49])/8 + 
       (7*t[50])/4 + (513*t[51])/16 - (7*t[52])/4 + (187*t[53])/8 + 
       (59*t[54])/2 - 9*t[59] - (347*t[60])/2 - 153*t[61] - (521*t[62])/8 - 
       (999*t[63])/8 + (1151*t[64])/4 - (1015*t[65])/12 + 58*t[66] + 
       4*t[69] + 4*t[73] + 16*t[74] + 14*t[75] - 6*t[76] - 2*t[78] - 
       31*t[79] + 4*t[80] - 31*t[81] + 15*t[82] + 40*t[83] - (157*t[84])/2 - 
       36*t[85] + 37*t[86] + 113*t[87] + (113*t[88])/2 + (41*t[89])/2 + 
       38*t[99] + 124*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((-29*t[1])/2 - (167*t[2])/8 + 
       (233*t[3])/6 - (491*t[4])/24 + (677*t[5])/12 - (71*t[6])/4 - 
       (113*t[7])/3 - 66*t[8] - (1265*t[9])/24 + (4825*t[10])/48 - 
       (481*t[11])/6 + (851*t[12])/48 - (931*t[13])/36 - (28877*t[14])/288 - 
       (103*t[15])/18 - 2*t[19] + 2*t[20] - 2*t[21] + 2*t[23] + 6*t[24] + 
       15*t[25] - 5*t[26] + (19*t[27])/3 - (26*t[28])/3 + (23*t[29])/3 + 
       (17*t[30])/6 + 6*t[31] - 2*t[32] + 6*t[33] - 4*t[34] + 17*t[35] + 
       5*t[36] + 20*t[37] - 8*t[38] - (22*t[39])/3 - t[40] - t[41] + t[42] - 
       t[43]/3 - (14*t[44])/3 - (23*t[45])/4 - (21*t[46])/4 + (25*t[47])/2 - 
       (199*t[48])/12 + (227*t[49])/48 - (119*t[50])/12 + (87*t[51])/32 + 
       (143*t[52])/12 - (275*t[53])/48 + (31*t[54])/24 + t[59]/2 - 
       (65*t[60])/3 - (443*t[61])/4 + (1885*t[62])/48 + (4687*t[63])/48 + 
       (495*t[64])/4 - (2615*t[65])/72 + (2053*t[66])/36 + 2*t[69] - 
       (2*t[72])/3 + (5*t[73])/2 - 8*t[74] - (9*t[75])/2 + (3*t[77])/2 - 
       (51*t[78])/2 + 17*t[79] - (39*t[80])/2 - (31*t[81])/6 + (41*t[82])/6 + 
       22*t[83] - (91*t[84])/6 + (7*t[85])/2 - (347*t[86])/12 + (5*t[87])/3 + 
       (5*t[88])/6 + (65*t[89])/4 + 8*t[98] - 36*t[99] + 138*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*
      (10*t[1] + t[2] + (43*t[3])/2 + (231*t[4])/8 - (29*t[5])/4 - 
       (299*t[6])/8 + (27*t[7])/4 - (17*t[8])/4 - (67*t[9])/4 + 
       (81*t[10])/16 + (69*t[11])/8 - (187*t[12])/16 - (2981*t[13])/72 + 
       (613*t[14])/96 - (1817*t[15])/48 - 14*t[25] + t[26] - 14*t[28] - 
       12*t[31] + 2*t[34] + 12*t[35] + 9*t[36] + 2*t[37] + 12*t[38] - 
       19*t[39] + 10*t[40] - t[41] + t[42] - 10*t[45] - 4*t[46] + 20*t[47] - 
       (191*t[48])/8 - (205*t[49])/16 + (57*t[50])/8 - (309*t[51])/32 - 
       (73*t[52])/8 - (43*t[53])/16 - (45*t[54])/2 - (23*t[59])/2 + 
       (17*t[60])/8 - (1133*t[61])/8 - (1941*t[62])/16 + (397*t[63])/16 + 
       (459*t[64])/16 - (383*t[65])/8 + (415*t[66])/8 - 4*t[70] + 4*t[71] - 
       4*t[73] - 8*t[74] - 5*t[75] - 2*t[76] - 10*t[77] - 27*t[78] + t[79] + 
       8*t[80] - (41*t[81])/2 + (27*t[82])/2 + 31*t[83] - (33*t[84])/8 + 
       (269*t[85])/8 + 149*t[86] - (83*t[87])/8 - (3*t[88])/16 - 
       (525*t[89])/16 - 2*t[95] - 4*t[96] - 2*t[97] - 24*t[98] + 20*t[99] + 
       (289*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      (3*t[1] + 46*t[2] - (19*t[3])/2 + (1469*t[4])/16 - 93*t[5] - 
       (247*t[6])/4 - (295*t[7])/8 + t[8] + (391*t[9])/4 + (431*t[10])/32 - 
       (837*t[11])/16 + (659*t[12])/32 + (1597*t[13])/48 - (6611*t[14])/192 - 
       (5269*t[15])/96 + (25*t[18])/3 - 2*t[19] + 12*t[21] - 2*t[22] - 
       6*t[23] + 5*t[24] - 2*t[25] + 4*t[26] + 8*t[27] - 19*t[31] + 2*t[34] - 
       9*t[35] + 3*t[40] - (11*t[41])/2 + (11*t[42])/2 - (87*t[43])/8 - 
       8*t[44] - (81*t[45])/4 - (23*t[46])/2 + (309*t[47])/4 - (67*t[48])/8 + 
       (21*t[49])/32 + (9*t[50])/8 - (333*t[51])/64 - (137*t[52])/8 - 
       (21*t[53])/32 - (311*t[54])/16 - 2*t[58] - (31*t[59])/2 - 
       (367*t[60])/8 - (361*t[61])/2 + (1923*t[62])/32 - (2227*t[63])/32 - 
       (1797*t[64])/16 - (755*t[65])/48 + (1031*t[66])/16 - 8*t[69] - 
       10*t[70] + 10*t[71] + 3*t[74] - 2*t[75] - 5*t[76] + 5*t[77] - t[78] + 
       (7*t[79])/2 - 15*t[80] - (13*t[81])/2 - t[82]/2 + 12*t[83] - 9*t[84] + 
       (65*t[85])/4 + t[86]/2 + (81*t[87])/4 + (81*t[88])/8 + 
       (369*t[89])/16 - t[97] - 24*t[98] + 20*t[99] + (289*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-2*t[1])/3 + (883*t[2])/24 + (256*t[3])/3 - (463*t[4])/8 + 
       (272*t[5])/3 - (2219*t[6])/24 - (623*t[7])/12 - (119*t[8])/4 - 
       (1107*t[9])/8 - (1829*t[10])/48 - (3893*t[11])/24 - (3155*t[12])/48 + 
       (167*t[13])/72 - (2363*t[14])/32 - (835*t[15])/18 - (8*t[18])/3 + 
       4*t[20] - (8*t[21])/3 + 2*t[22] + 8*t[23] + (82*t[24])/3 + 
       (23*t[25])/3 - (46*t[26])/3 + t[27]/3 - 23*t[28] + t[29] + 6*t[30] + 
       20*t[31] + (17*t[32])/3 + 9*t[33] - (53*t[34])/3 + 25*t[35] + 
       7*t[36] - 10*t[37] + 10*t[38] - (43*t[39])/2 + (91*t[40])/3 - 
       (43*t[41])/6 + (35*t[42])/6 - t[43]/12 + (20*t[44])/3 + (69*t[45])/4 - 
       (61*t[46])/4 - (59*t[47])/6 + (341*t[48])/24 + (757*t[49])/48 - 
       (1447*t[50])/24 + (157*t[51])/32 + (631*t[52])/24 - (805*t[53])/48 + 
       (481*t[54])/12 + 8*t[57] - 5*t[58] - (211*t[59])/6 - (265*t[60])/4 - 
       (4087*t[61])/12 + t[62]/3 + (203*t[63])/3 + (1535*t[64])/8 + 
       (57*t[65])/2 - (2539*t[66])/36 + (16*t[70])/3 - (16*t[71])/3 - 
       (5*t[72])/2 + (17*t[73])/2 + (2*t[74])/3 - (89*t[75])/2 + 
       (74*t[76])/3 + (17*t[77])/3 - (139*t[78])/6 - 10*t[79] + 
       (67*t[80])/3 - (11*t[81])/3 + (58*t[82])/3 - 43*t[83] - 
       (631*t[84])/12 + (87*t[85])/4 + (347*t[86])/6 + (161*t[87])/12 + 
       (161*t[88])/24 + (1303*t[89])/24 - 7*t[97] + 52*t[98] - 24*t[99] + 
       150*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*(2*t[1] + t[2]/8 - (227*t[3])/24 + 
       (241*t[4])/24 - (1819*t[5])/48 - (817*t[6])/48 + (73*t[7])/24 - 
       (207*t[8])/8 + (325*t[9])/16 + (1193*t[10])/48 + (1793*t[11])/48 + 
       (185*t[12])/6 + (3049*t[13])/432 - (1417*t[14])/288 - 
       (1303*t[15])/288 + 2*t[24] - (40*t[25])/3 + (35*t[26])/3 + 
       (7*t[27])/2 - 2*t[28] - (9*t[29])/2 - (5*t[30])/2 - 4*t[31] - t[32] + 
       3*t[33] - t[34] - 7*t[35] - (91*t[36])/3 - (43*t[37])/3 + 
       (10*t[38])/3 - (2*t[39])/3 - (11*t[40])/2 + t[41]/2 - t[42]/2 + 
       (3*t[43])/4 + (19*t[44])/2 + (47*t[45])/6 - (21*t[46])/4 - 
       (50*t[47])/3 - (805*t[48])/48 + (139*t[49])/16 + (95*t[50])/48 + 
       (115*t[51])/32 - (37*t[52])/16 - (59*t[53])/16 - (1577*t[54])/48 - 
       (13*t[59])/3 + (5*t[60])/3 + (40*t[61])/3 - (829*t[62])/12 - 
       (473*t[63])/4 + (233*t[64])/12 + (769*t[65])/18 - 45*t[66] - 4*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 + 4*t[72] + (45*t[73])/2 + (40*t[74])/3 - 
       (105*t[75])/2 + (53*t[76])/3 + (23*t[77])/3 - (17*t[78])/2 - 
       15*t[79] + (34*t[80])/3 + (17*t[81])/3 - 33*t[82] + 18*t[83] + 
       (91*t[84])/4 + (103*t[85])/4 + (271*t[86])/3 - (173*t[87])/4 - 
       (271*t[88])/24 + (39*t[89])/2 + (16*t[95])/3 + (4*t[96])/3 + 
       (5*t[97])/3 + 52*t[98] - 24*t[99] + 150*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-21*t[1])/2 + (10*t[2])/3 + (1199*t[3])/24 - (271*t[4])/6 + 
       (1291*t[5])/24 - (2121*t[6])/16 + (287*t[7])/8 - (4739*t[8])/24 - 
       (385*t[9])/24 + (111*t[10])/8 - (2027*t[11])/48 - (177*t[12])/8 + 
       (133*t[13])/16 - (9671*t[14])/72 - (1217*t[15])/72 - 2*t[19] + 
       2*t[20] - 6*t[21] - 2*t[22] + 6*t[23] - t[24] + (53*t[25])/3 - 
       (43*t[26])/3 - (5*t[27])/3 - (68*t[28])/3 + (25*t[29])/6 + 
       (40*t[30])/3 + (38*t[31])/3 + 3*t[32] - 8*t[33] - (25*t[34])/3 + 
       32*t[35] + 10*t[36] + 8*t[37] - 3*t[38] - (19*t[39])/3 + 
       (40*t[40])/3 - (41*t[41])/6 + (41*t[42])/6 + (113*t[43])/24 + 
       (283*t[44])/12 + (91*t[45])/4 - t[46]/6 - (27*t[47])/2 - 
       (941*t[48])/16 - (37*t[49])/2 + (271*t[50])/16 + (563*t[51])/48 - 
       (2269*t[52])/48 + (37*t[53])/2 - (531*t[54])/16 + 2*t[57] - 
       (5*t[58])/3 - (26*t[59])/3 + (17*t[60])/3 - (775*t[61])/4 + 
       (1549*t[62])/24 + (497*t[63])/8 - (1063*t[64])/24 + (311*t[65])/36 + 
       105*t[66] + 2*t[69] - 10*t[72] + 2*t[73] + 4*t[74] - 12*t[75] + 
       (89*t[76])/3 + (8*t[77])/3 - (32*t[78])/3 - 13*t[79] + 6*t[80] - 
       (26*t[81])/3 + (38*t[82])/3 + 26*t[83] - (131*t[84])/3 + 
       (26*t[85])/3 + (85*t[86])/3 + (11*t[87])/4 + (11*t[88])/8 - 
       (65*t[89])/3 - (13*t[97])/3 + 72*t[98] - 80*t[99] + 161*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((19*t[1])/2 + (121*t[2])/12 + (43*t[3])/8 + 58*t[4] + (649*t[5])/48 - 
       (2287*t[6])/48 - (479*t[7])/24 - (3503*t[8])/24 - (1151*t[9])/48 + 
       (617*t[10])/12 + (617*t[11])/16 + (1681*t[12])/48 + 
       (24025*t[13])/432 - (1147*t[14])/48 - (11071*t[15])/288 - 
       (26*t[25])/3 + t[26]/3 - (20*t[27])/3 + (10*t[28])/3 - (34*t[29])/3 + 
       (31*t[30])/3 - (28*t[31])/3 - t[32] + 5*t[33] - (4*t[34])/3 - 
       26*t[35] - (37*t[36])/3 - (37*t[37])/3 + (28*t[38])/3 - 8*t[39] + 
       (11*t[40])/6 + (5*t[41])/3 - (5*t[42])/3 - (47*t[43])/12 + 
       (89*t[44])/6 - (49*t[45])/6 - (17*t[46])/3 + (46*t[47])/3 - 
       (2431*t[48])/48 + (173*t[49])/8 + (245*t[50])/48 + (821*t[51])/48 - 
       (949*t[52])/48 - (109*t[53])/8 - (3413*t[54])/48 - (5*t[58])/3 + 
       6*t[59] + (545*t[60])/24 - (2815*t[61])/24 - (3719*t[62])/48 - 
       (2515*t[63])/16 + (1323*t[64])/16 - (8785*t[65])/72 - (1007*t[66])/8 + 
       (8*t[70])/3 - (8*t[71])/3 + 10*t[72] + 4*t[73] - (20*t[74])/3 - 
       16*t[75] + (142*t[76])/3 - (11*t[77])/3 - (221*t[78])/3 + 12*t[79] + 
       (106*t[80])/3 + 16*t[81] - (88*t[82])/3 + 23*t[83] - (355*t[84])/24 + 
       (433*t[85])/24 + (158*t[86])/3 - (673*t[87])/8 - (1235*t[88])/48 - 
       (713*t[89])/48 + (4*t[95])/3 + (40*t[96])/3 + (37*t[97])/3 + 
       168*t[98] - 188*t[99] + 165*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*(33*t[1] + 203*t[2] - 
       (69*t[3])/2 - 19*t[4] - (65*t[5])/4 - 181*t[6] + (1139*t[7])/4 - 
       (1203*t[8])/4 + (447*t[9])/2 - (259*t[10])/4 + (433*t[11])/4 - 
       (371*t[12])/4 - (7285*t[13])/72 + (703*t[14])/3 + (775*t[15])/6 - 
       20*t[19] - 22*t[21] + 22*t[23] - 18*t[24] - 36*t[26] + 28*t[27] + 
       60*t[31] - 2*t[35] - 12*t[37] + 36*t[38] - 30*t[41] + 30*t[42] + 
       (75*t[43])/4 + 18*t[44] + (265*t[45])/2 + 5*t[46] - 229*t[47] - 
       (525*t[48])/4 + 39*t[49] + (167*t[50])/4 - (51*t[51])/2 - 
       (167*t[52])/4 - 35*t[53] - (519*t[54])/4 - 30*t[59] + (1751*t[60])/4 - 
       (317*t[61])/4 + (145*t[62])/2 - (143*t[63])/2 - (6949*t[64])/8 - 
       (721*t[65])/6 - (565*t[66])/4 + 22*t[69] + 54*t[74] - 8*t[75] - 
       96*t[76] + 198*t[78] - 146*t[79] - 180*t[80] + t[81] - 7*t[82] + 
       55*t[83] + (15*t[84])/4 + (573*t[85])/4 + 5*t[86] - (911*t[87])/4 - 
       (911*t[88])/8 + (163*t[89])/8 + 96*t[99] + 167*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*(-9*t[1] - 9*t[2] - 
       (169*t[3])/4 - t[4] - (457*t[5])/8 + 70*t[6] - (405*t[7])/4 + 
       (357*t[8])/4 + (97*t[9])/8 + (649*t[10])/4 - 286*t[11] - 
       (411*t[12])/8 - (1139*t[13])/8 + (83*t[14])/8 + (2257*t[15])/48 + 
       6*t[31] + 18*t[35] - 32*t[36] - 4*t[40] - (29*t[43])/2 - 12*t[44] + 
       58*t[45] - 19*t[46] - 116*t[47] + (63*t[48])/4 + 3*t[49] - 
       (169*t[50])/4 - (3*t[51])/4 + (169*t[52])/4 - 3*t[53] + 
       (265*t[54])/4 - 9*t[59] + (233*t[60])/2 - (479*t[61])/2 + 270*t[62] - 
       151*t[63] - (1819*t[64])/4 + (358*t[65])/3 + (1846*t[66])/3 - 
       60*t[73] + 24*t[74] + 86*t[75] - 2*t[77] + 8*t[78] - 10*t[79] - 
       102*t[80] - 19*t[81] + 19*t[82] - 16*t[83] + t[84] + (5*t[85])/2 - 
       194*t[86] - (177*t[87])/2 - (177*t[88])/4 + (643*t[89])/4 + 96*t[99] + 
       167*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*((-5*t[1])/2 - (55*t[2])/2 + (337*t[3])/8 - 
       (137*t[4])/4 + (769*t[5])/48 - (793*t[6])/24 - (325*t[7])/4 - 
       (857*t[8])/12 - (4115*t[9])/48 + (969*t[10])/8 - (277*t[11])/12 + 
       (1117*t[12])/48 - (2345*t[13])/72 - (3281*t[14])/72 - 
       (3499*t[15])/288 - (2*t[18])/3 + 2*t[19] - 6*t[21] - (3*t[22])/2 - 
       6*t[23] - (4*t[24])/3 + t[25] - t[26] - t[27] + (23*t[31])/3 + 
       4*t[33] - 16*t[34] + 20*t[35] + 2*t[37] + 3*t[38] - 4*t[39] + 
       5*t[40] - 2*t[41] + 2*t[42] + (203*t[43])/24 + 10*t[44] + 
       (259*t[45])/4 + (17*t[46])/2 - (179*t[47])/2 + (113*t[48])/24 - 
       (337*t[49])/24 - (71*t[50])/24 - (245*t[51])/48 + (311*t[52])/24 + 
       (337*t[53])/24 - (109*t[54])/8 + t[58] - 5*t[59] - (255*t[60])/4 - 
       (1685*t[61])/12 + (2959*t[62])/24 + (563*t[63])/8 - (891*t[64])/8 + 
       (1141*t[65])/36 + (653*t[66])/9 + 7*t[69] - 2*t[72] + 14*t[73] - 
       13*t[74] - 6*t[75] - 22*t[76] - 5*t[77] + 14*t[78] + 50*t[79] - 
       171*t[80] - (59*t[81])/2 + (31*t[82])/2 - (307*t[83])/6 - 
       (127*t[84])/12 - (89*t[85])/3 - (280*t[86])/3 + (91*t[87])/6 + 
       (91*t[88])/12 - (269*t[89])/8 + 2*t[97] - 132*t[98] + 138*t[99] + 
       (361*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(4*t[1] + (7*t[2])/2 + (19*t[3])/4 - (841*t[4])/8 + 
       (101*t[5])/8 + (227*t[6])/8 - t[7] + (83*t[8])/2 - (315*t[9])/8 - 
       (579*t[10])/16 - (463*t[11])/8 + (683*t[12])/16 + (131*t[13])/6 - 
       (2721*t[14])/32 + (147*t[15])/8 + 4*t[24] + 2*t[25] - 5*t[26] - 
       4*t[27] + 4*t[28] + 2*t[30] - 7*t[31] + 4*t[33] - t[34] - 5*t[35] + 
       5*t[36] - t[37] + 3*t[38] + t[39] - 3*t[40] + t[41]/2 - t[42]/2 - 
       11*t[45] + (11*t[46])/2 + 22*t[47] + (47*t[48])/8 - (677*t[49])/16 + 
       (139*t[50])/8 + (687*t[51])/32 - (67*t[52])/8 + (525*t[53])/16 + 
       (61*t[54])/4 - (1055*t[60])/8 - (941*t[61])/8 + (1287*t[62])/16 + 
       (113*t[63])/16 + (3263*t[64])/16 + (1663*t[65])/8 + (5099*t[66])/24 + 
       t[69] + 12*t[73] - 17*t[74] + 31*t[75] - 15*t[76] - t[77] + 2*t[78] - 
       6*t[79] + 4*t[80] - 19*t[81] + 10*t[82] - (79*t[83])/2 + (5*t[84])/8 - 
       (191*t[85])/8 + 42*t[86] + (1361*t[87])/8 + (1241*t[88])/16 + 
       (879*t[89])/16 + 2*t[95] - 16*t[96] - 3*t[97] - 132*t[98] + 
       138*t[99] + (421*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((-21*t[2])/2 - (34*t[3])/3 + 
       (613*t[4])/12 - (262*t[5])/3 - (349*t[6])/8 + (110*t[7])/3 - 
       (199*t[8])/6 + (251*t[9])/4 - (187*t[10])/8 + (223*t[11])/24 + 
       (463*t[12])/24 - (617*t[13])/36 - (1147*t[14])/48 - (13*t[15])/6 + 
       2*t[24] - 2*t[25] + 2*t[26] + (46*t[27])/3 + (64*t[28])/3 + 
       (62*t[29])/3 - (38*t[30])/3 + 2*t[31] - 4*t[32] + 6*t[33] + 4*t[35] - 
       16*t[36] + (44*t[39])/3 - t[40] - 13*t[43] + (73*t[44])/3 - 26*t[45] + 
       15*t[46] + 48*t[47] - (17*t[48])/24 + (99*t[49])/8 + (259*t[50])/24 - 
       (305*t[51])/48 - (259*t[52])/24 - (99*t[53])/8 + (129*t[54])/8 + 
       (163*t[60])/12 + (3*t[61])/4 - (229*t[62])/8 - (689*t[63])/24 + 
       (1177*t[64])/24 - (869*t[65])/36 + (539*t[66])/36 + (4*t[72])/3 - 
       58*t[73] - 74*t[75] - 20*t[76] - 30*t[78] + (22*t[81])/3 - 
       (20*t[82])/3 + (52*t[83])/3 + (89*t[84])/12 + (125*t[85])/12 - 
       (77*t[87])/12 - (77*t[88])/24 + (601*t[89])/24 - 48*t[99] + 
       223*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(2*t[1] - 90*t[2] + (313*t[3])/6 - (685*t[4])/6 + 
       (212*t[5])/3 + (3*t[6])/4 - (1183*t[7])/12 + (1273*t[8])/12 - 
       (425*t[9])/4 + (141*t[10])/2 - (1121*t[11])/6 - (499*t[12])/12 - 
       (7361*t[13])/72 - (4013*t[14])/24 - (3337*t[15])/72 - 4*t[19] + 
       4*t[20] - 4*t[21] + 4*t[22] + 4*t[23] - 4*t[25] - (14*t[27])/3 + 
       (16*t[28])/3 + (26*t[29])/3 - (32*t[30])/3 + 4*t[31] + 6*t[32] - 
       2*t[33] - 16*t[34] - 12*t[35] + 2*t[36] + 30*t[37] + 8*t[38] - 
       (34*t[39])/3 - 4*t[40] - 4*t[41] + 4*t[42] - (33*t[43])/4 - 
       (110*t[44])/3 + 8*t[45] + 14*t[46] + 28*t[47] + (104*t[48])/3 - 
       (7*t[49])/4 - (142*t[50])/3 - (109*t[51])/24 + (118*t[52])/3 + 
       (7*t[53])/4 + (35*t[54])/2 + 4*t[57] - 9*t[59] - (625*t[60])/6 - 
       247*t[61] + 27*t[62] - (473*t[63])/6 + (2465*t[64])/12 + 
       (1159*t[65])/9 + (3481*t[66])/18 + 4*t[69] - (26*t[72])/3 - 30*t[73] + 
       12*t[74] - 66*t[75] - 14*t[76] + 4*t[77] - 14*t[78] + 20*t[79] - 
       39*t[80] - (20*t[81])/3 + (49*t[82])/3 - (26*t[83])/3 - (94*t[84])/3 - 
       (25*t[85])/3 - (37*t[86])/2 + (181*t[87])/3 + (181*t[88])/6 + 
       (535*t[89])/6 - 4*t[97] - 48*t[99] + 223*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*(-40*t[98] - 44*t[99] + 
       258*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (15*t[1] - 78*t[2] + (141*t[3])/4 + (275*t[4])/4 - (15*t[5])/2 + 
       (645*t[6])/8 - (19*t[7])/4 + (53*t[8])/4 - (219*t[9])/2 - 
       (763*t[10])/8 - (387*t[11])/8 - (245*t[12])/8 + (721*t[13])/72 - 
       (9055*t[14])/48 - (847*t[15])/18 - 8*t[21] + 8*t[23] - 2*t[24] - 
       14*t[25] + 4*t[26] - 14*t[27] - 4*t[28] - 5*t[29] + 22*t[30] + 
       4*t[31] + 16*t[32] + 2*t[33] - 14*t[34] + 20*t[35] + 4*t[36] + 
       4*t[37] + 12*t[38] - 14*t[39] - 6*t[40] - t[41] + t[42] - 
       (25*t[43])/4 + (25*t[44])/2 - (43*t[45])/2 - 26*t[46] + 73*t[47] + 
       (89*t[48])/8 + (97*t[49])/8 + (133*t[50])/8 + (453*t[51])/16 - 
       (181*t[52])/8 - (113*t[53])/8 - (327*t[54])/8 + 4*t[57] + 2*t[58] + 
       t[59] - (499*t[60])/4 - (233*t[61])/4 - (267*t[62])/8 - 
       (541*t[63])/8 + (1535*t[64])/8 + (295*t[65])/12 + (459*t[66])/4 + 
       12*t[69] - 12*t[73] - 36*t[74] - 16*t[75] - 2*t[76] + 6*t[77] - 
       12*t[78] - 10*t[79] + 10*t[80] - 18*t[81] + 8*t[82] + 22*t[83] - 
       (107*t[84])/4 - (99*t[85])/4 + 57*t[86] + (547*t[87])/4 + 
       (547*t[88])/8 + (371*t[89])/8 - 2*t[97] - 40*t[98] - 44*t[99] + 
       258*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*(-4*t[1] - (15*t[2])/4 + (191*t[3])/6 - 
       (187*t[4])/6 + (3067*t[5])/48 - (1537*t[6])/16 - (43*t[7])/3 - 
       (530*t[8])/3 - (839*t[9])/48 + (129*t[10])/2 - (5231*t[11])/48 - 
       (557*t[12])/16 - (15427*t[13])/216 - (715*t[14])/24 + 
       (139*t[15])/288 - (8*t[18])/3 - 2*t[20] - (8*t[21])/3 + 4*t[22] + 
       8*t[23] - (11*t[24])/3 - (76*t[25])/3 + 12*t[26] + (44*t[27])/3 - 
       (8*t[28])/3 - (95*t[29])/6 + (4*t[30])/3 + 20*t[31] + (4*t[32])/3 - 
       (23*t[33])/3 + 19*t[34] + 18*t[35] + t[36] - 16*t[37] + 7*t[38] + 
       (49*t[39])/3 - 6*t[40] - (3*t[41])/2 + t[42]/6 - (65*t[43])/8 + 
       (119*t[44])/4 + (35*t[45])/6 + (37*t[46])/2 - (160*t[47])/3 - 
       (2593*t[48])/48 - (9*t[49])/2 + (1387*t[50])/48 - (89*t[51])/24 - 
       (1115*t[52])/48 + (9*t[53])/2 - (1579*t[54])/48 - 6*t[57] - 
       (8*t[58])/3 - (85*t[59])/6 - (827*t[60])/24 - (3051*t[61])/8 + 
       (3731*t[62])/16 + (5743*t[63])/48 - (2783*t[64])/16 - 
       (9343*t[65])/72 + (20591*t[66])/72 - 4*t[69] + (16*t[70])/3 - 
       (16*t[71])/3 + 4*t[72] + (50*t[74])/3 + 24*t[75] + (97*t[76])/3 + 
       (23*t[77])/3 - (28*t[78])/3 - 28*t[79] - (52*t[80])/3 - (26*t[81])/3 + 
       (407*t[82])/6 + 15*t[83] - (545*t[84])/24 + (347*t[85])/24 - 
       (763*t[86])/6 - (237*t[87])/8 - (237*t[88])/16 - (3337*t[89])/48 + 
       (17*t[97])/3 + 120*t[98] - 140*t[99] + 321*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      (34*t[1] - (85*t[2])/2 + 85*t[3] - (303*t[4])/2 + (1665*t[5])/8 - 
       (483*t[6])/16 - 52*t[7] - 26*t[8] - (2563*t[9])/8 + (817*t[10])/4 - 
       (3699*t[11])/16 - (719*t[12])/4 - (305*t[13])/2 - (437*t[14])/8 + 
       (1681*t[15])/16 + 8*t[18] + 4*t[19] - 8*t[22] - 8*t[23] + 14*t[24] - 
       14*t[25] + 10*t[26] + 2*t[27] + 6*t[28] - 4*t[30] + (69*t[31])/2 + 
       4*t[32] - 4*t[33] - 18*t[34] + 18*t[35] - 2*t[37] + 2*t[38] + 
       8*t[39] - 8*t[40] - 16*t[41] + 18*t[42] + (141*t[43])/2 + 16*t[44] + 
       70*t[45] + (93*t[46])/4 - 204*t[47] + (277*t[48])/16 - (3*t[49])/2 - 
       (43*t[50])/16 + (125*t[51])/16 + (459*t[52])/16 + (3*t[53])/2 + 
       (267*t[54])/16 + 2*t[58] - 25*t[59] - (1035*t[60])/8 - 
       (3017*t[61])/8 + (1125*t[62])/8 - (695*t[63])/8 - (1149*t[64])/16 - 
       (129*t[65])/8 + (2013*t[66])/8 + 2*t[69] - 26*t[70] + 26*t[71] + 
       t[74]/2 - 10*t[76] + 10*t[77] - 6*t[78] + t[79] + 10*t[80] - 
       (63*t[81])/4 + (39*t[82])/4 - (51*t[84])/2 + (3*t[85])/8 - 17*t[86] + 
       (645*t[87])/8 + (645*t[88])/16 + (569*t[89])/16 - 2*t[97] - 48*t[98] + 
       375*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*(8*t[1] - t[2] - 8*t[3] + (379*t[4])/4 + 
       (121*t[5])/2 + (219*t[6])/4 - (107*t[7])/2 - (75*t[8])/2 - 52*t[9] + 
       (13*t[10])/8 - (455*t[11])/4 - (271*t[12])/8 + (601*t[13])/12 - 
       (6437*t[14])/48 + (415*t[15])/8 - 4*t[25] - 2*t[26] - 4*t[27] + 
       26*t[28] + 2*t[29] + 22*t[31] - 2*t[34] - 20*t[35] - 22*t[36] + 
       10*t[37] + 8*t[38] + 18*t[39] - 20*t[40] + t[41] - t[42] + 10*t[45] + 
       19*t[46] - 20*t[47] + (69*t[48])/4 - (45*t[49])/8 - (11*t[50])/4 + 
       (153*t[51])/16 + (19*t[52])/4 - (11*t[53])/8 - 31*t[54] + 2*t[58] - 
       10*t[59] - (103*t[60])/4 - (627*t[61])/4 + (2875*t[62])/8 - 
       (1603*t[63])/8 - (2051*t[64])/8 + (2429*t[65])/12 + (721*t[66])/4 - 
       6*t[69] - 18*t[70] + 18*t[71] - 4*t[72] + 8*t[73] + 22*t[74] + 
       16*t[75] - 10*t[76] + 20*t[77] + 6*t[78] - 2*t[79] - 14*t[80] + 
       9*t[81] - 21*t[82] - 92*t[83] + (43*t[84])/4 + (17*t[85])/4 - 
       304*t[86] - (199*t[87])/4 - (135*t[88])/8 + (1355*t[89])/8 - 4*t[95] - 
       8*t[96] + 2*t[97] - 48*t[98] + 375*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((16*t[1])/3 + (17*t[2])/8 + (97*t[3])/24 - (121*t[4])/8 - 
       (3035*t[5])/48 - (2275*t[6])/48 + (1097*t[7])/24 - (1501*t[8])/24 + 
       (2345*t[9])/16 + (2861*t[10])/48 - (4061*t[11])/48 + (479*t[12])/12 - 
       (12089*t[13])/144 + (651*t[14])/32 - (19721*t[15])/864 - 2*t[20] - 
       8*t[21] + (32*t[23])/3 - 2*t[25] + 2*t[26] + 18*t[27] + 2*t[28] + 
       t[29]/2 - (59*t[30])/6 + 10*t[31] + (29*t[32])/3 - (32*t[33])/3 - 
       (65*t[34])/3 + 27*t[35] + 9*t[36] + (26*t[37])/3 + 2*t[38] + 4*t[39] + 
       (19*t[40])/6 + t[41]/2 - t[42]/2 - (35*t[43])/12 - 7*t[44] - 
       (53*t[45])/6 + (35*t[46])/4 + 26*t[47] - (273*t[48])/16 + 
       (271*t[49])/16 - (287*t[50])/48 - (541*t[51])/32 + (127*t[52])/48 - 
       (95*t[53])/16 + (1069*t[54])/48 + (19*t[59])/6 + (59*t[60])/12 - 
       (1727*t[61])/12 - (1871*t[62])/24 - (1399*t[63])/8 + (1819*t[64])/24 - 
       (2965*t[65])/36 + (653*t[66])/12 + 8*t[69] + (8*t[70])/3 - 
       (8*t[71])/3 + 4*t[72] + (17*t[73])/2 + (34*t[74])/3 - (53*t[75])/2 + 
       (104*t[76])/3 - t[77]/3 - (99*t[78])/2 - 7*t[79] - (110*t[80])/3 - 
       (113*t[81])/6 - 6*t[82] + 55*t[83] - 26*t[84] + 51*t[85] + 
       (235*t[86])/3 - 75*t[87] - (133*t[88])/6 + (357*t[89])/8 - 
       (8*t[95])/3 + (58*t[96])/3 + (38*t[97])/3 + 108*t[98] - 216*t[99] + 
       470*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      (-15*t[1] + (61*t[2])/2 + (283*t[3])/8 - (1131*t[4])/8 + (343*t[5])/2 - 
       (1265*t[6])/16 - (629*t[7])/8 - (1125*t[8])/8 - (325*t[9])/2 + 
       (3579*t[10])/16 - (3753*t[11])/16 - (183*t[12])/16 - 
       (7681*t[13])/144 - (4227*t[14])/32 + (3685*t[15])/72 - 4*t[18] + 
       10*t[22] - 15*t[24] - t[25] - t[26] + 13*t[27] + 4*t[28] - 
       (23*t[29])/2 - t[30] + 2*t[31] + 9*t[33] - 2*t[35] + 2*t[36] + 
       4*t[37] - 2*t[38] + t[39] - t[40] - 11*t[41] + t[42] + (181*t[43])/8 + 
       (79*t[44])/4 + (79*t[45])/4 - 2*t[46] - (77*t[47])/2 - 
       (621*t[48])/16 - (305*t[49])/16 - (265*t[50])/16 + (99*t[51])/32 + 
       (329*t[52])/16 + (289*t[53])/16 + (251*t[54])/16 - 6*t[57] - 4*t[58] + 
       (3*t[59])/2 - (797*t[60])/4 - (1131*t[61])/4 + (635*t[62])/8 + 
       (1261*t[63])/8 - (387*t[64])/8 + (313*t[65])/12 + (4679*t[66])/12 + 
       4*t[69] + 6*t[70] - 6*t[71] - 28*t[73] - 16*t[74] + 50*t[75] + 
       15*t[76] + 12*t[77] - 14*t[78] - 16*t[79] + 14*t[80] - 19*t[81] + 
       55*t[82] + 98*t[83] - (233*t[84])/4 - (37*t[85])/4 + 57*t[86] + 
       (449*t[87])/4 + (449*t[88])/8 - (431*t[89])/8 + 5*t[97] + 56*t[98] - 
       196*t[99] + 472*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*(-3*t[1] - (17*t[2])/2 + (473*t[3])/8 + 
       (69*t[4])/4 + (1641*t[5])/16 - (2075*t[6])/16 - (523*t[7])/8 - 
       (1329*t[8])/8 - (1587*t[9])/16 + (545*t[10])/8 - (1185*t[11])/16 - 
       (313*t[12])/16 + (931*t[13])/48 - (6695*t[14])/48 - (629*t[15])/288 + 
       2*t[24] + 9*t[25] - 13*t[26] + 13*t[27] - 12*t[28] + t[29] + 7*t[30] + 
       12*t[31] - 2*t[32] + 4*t[33] + 2*t[34] + 18*t[35] - 8*t[36] + 
       32*t[37] + 3*t[38] - 12*t[39] + (25*t[40])/2 - t[41] + t[42] + 
       (17*t[43])/4 + (17*t[44])/2 + (29*t[45])/4 - 9*t[46] - (33*t[47])/2 - 
       (1035*t[48])/16 + (9*t[49])/4 - (175*t[50])/16 - (139*t[51])/16 - 
       (241*t[52])/16 - (85*t[53])/4 - (705*t[54])/16 - 4*t[58] + 3*t[59] + 
       (273*t[60])/8 - (1813*t[61])/8 + (3077*t[62])/16 + (2419*t[63])/16 - 
       (1613*t[64])/16 - (431*t[65])/8 + (1831*t[66])/8 + 4*t[69] + 2*t[70] - 
       2*t[71] - 2*t[72] - 6*t[73] + 8*t[74] + 20*t[75] + 26*t[76] - t[77] - 
       32*t[78] - 41*t[79] - 45*t[80] - 17*t[81] + 46*t[82] + 11*t[83] - 
       (423*t[84])/8 + (429*t[85])/8 - (229*t[86])/2 - (893*t[87])/8 - 
       (253*t[88])/16 - (289*t[89])/16 - 6*t[96] + 10*t[97] + 56*t[98] - 
       196*t[99] + 472*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((41*t[1])/4 + (73*t[2])/8 + (109*t[3])/8 + 
       (349*t[4])/32 - (513*t[5])/8 + 96*t[6] + (163*t[7])/4 + 56*t[8] + 
       (417*t[9])/4 - (7271*t[10])/64 - (965*t[11])/16 - (2395*t[12])/64 - 
       (1239*t[13])/32 + (921*t[14])/128 - (22177*t[15])/576 - 14*t[19] + 
       6*t[21] - 6*t[22] - 6*t[23] + 15*t[24] - (57*t[25])/2 - (5*t[26])/4 - 
       11*t[27] + 18*t[28] + (25*t[29])/2 - (53*t[30])/2 + (13*t[31])/2 - 
       t[32] + 31*t[33] + 29*t[34] - 5*t[35] - (45*t[36])/2 + 16*t[37] + 
       (67*t[38])/4 - 12*t[39] - 40*t[40] - t[41]/2 + t[42]/2 - 
       (107*t[43])/8 - (73*t[44])/4 - (139*t[45])/4 - (21*t[46])/8 + 
       (25*t[47])/2 - (111*t[48])/8 - (685*t[49])/64 + (463*t[50])/8 + 
       (2781*t[51])/128 + (89*t[52])/8 + (1821*t[53])/64 + (267*t[54])/32 - 
       10*t[57] + t[58] - (143*t[59])/8 + (1831*t[60])/32 - 
       (12201*t[61])/32 + (15119*t[62])/64 + (4785*t[63])/64 - 
       (13933*t[64])/64 - (16259*t[65])/96 + (3239*t[66])/96 - 8*t[70] + 
       8*t[71] + (19*t[72])/2 + (63*t[74])/2 + 31*t[75] + (45*t[76])/2 - 
       4*t[77] - 14*t[78] - 66*t[79] - 83*t[80] - 12*t[81] + (87*t[82])/4 + 
       (63*t[83])/2 + (1141*t[84])/32 + (4321*t[85])/32 - 83*t[86] - 
       (3623*t[87])/32 - (5735*t[88])/64 - (3147*t[89])/64 + 8*t[95] - 
       8*t[96] - 21*t[97] - 73*t[98] + 29*t[99] + (971*t[100])/2)*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((207*t[1])/8 - (53*t[2])/8 - (41*t[3])/32 - (891*t[4])/8 + 
       (6937*t[5])/64 - (3739*t[6])/32 + (3409*t[7])/32 - (3185*t[8])/32 - 
       (1577*t[9])/64 + (187*t[10])/32 + (1065*t[11])/32 - (25*t[12])/64 - 
       (15821*t[13])/576 - (5509*t[14])/192 - (15071*t[15])/1152 + 8*t[18] + 
       2*t[19] + 2*t[21] + 20*t[22] - 2*t[23] + 12*t[24] - 25*t[25] + 
       16*t[26] + 31*t[27] - 2*t[28] - (29*t[30])/2 + 2*t[31] + 5*t[32] - 
       2*t[33] - 7*t[34] + 15*t[35] + 4*t[36] - 6*t[37] + 28*t[38] - t[39] + 
       (27*t[40])/2 + (27*t[41])/2 - (19*t[42])/2 - (279*t[43])/16 + 
       21*t[44] + (107*t[45])/8 + (85*t[46])/4 + (129*t[47])/4 - 
       (887*t[48])/16 - (45*t[49])/8 + (365*t[50])/16 + (63*t[51])/16 - 
       (893*t[52])/16 + (181*t[53])/8 - (1297*t[54])/16 + t[58] - 
       (129*t[59])/8 - (809*t[60])/8 - (1967*t[61])/8 - (569*t[62])/8 - 
       (3031*t[63])/8 + (127*t[64])/4 - (845*t[65])/48 + (4069*t[66])/48 + 
       4*t[69] - 16*t[70] + 16*t[71] - 4*t[72] - 32*t[73] + 28*t[74] + 
       26*t[75] + 13*t[76] - (5*t[77])/4 - 48*t[78] - (81*t[80])/4 - 
       (119*t[81])/2 + (471*t[82])/8 + 43*t[83] - (617*t[84])/8 - 
       (281*t[85])/8 + (123*t[86])/4 + (517*t[87])/8 + (533*t[88])/16 + 
       (1293*t[89])/16 - 4*t[95] + 24*t[96] + 11*t[97] - 73*t[98] + 
       29*t[99] + (971*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-22*t[1] + (147*t[2])/2 + (445*t[3])/4 + 
       (15*t[4])/4 + (811*t[5])/8 - (207*t[6])/4 - (759*t[7])/4 + 
       (255*t[8])/4 - (1895*t[9])/8 + (813*t[10])/8 - (1537*t[11])/4 - 
       (163*t[12])/2 - (1109*t[13])/8 - (3301*t[14])/16 + (655*t[15])/48 - 
       16*t[18] + 8*t[20] - 16*t[21] - 8*t[22] + 16*t[23] - 14*t[24] - 
       12*t[25] + 20*t[26] + 20*t[27] - 4*t[28] - 4*t[29] + 16*t[31] + 
       6*t[32] - 4*t[33] - 16*t[34] + 4*t[35] - 2*t[36] - 4*t[37] - 
       20*t[38] - 2*t[39] + 2*t[40] - 12*t[41] + 4*t[42] + 37*t[43] - 
       12*t[44] - 43*t[45] + 25*t[46] + 4*t[47] + 7*t[48] - (35*t[49])/8 - 
       47*t[50] - (291*t[51])/16 + 79*t[52] + (51*t[53])/8 + (243*t[54])/4 - 
       8*t[58] + 24*t[59] - (1445*t[60])/4 - (2665*t[61])/4 + 
       (2557*t[62])/8 + (2011*t[63])/8 - (3817*t[64])/8 - (701*t[65])/12 + 
       (6985*t[66])/12 + 48*t[70] - 48*t[71] - 24*t[72] - 4*t[73] - 
       28*t[74] - 20*t[75] - 24*t[76] + 46*t[77] - 22*t[78] + 12*t[79] + 
       52*t[80] - 22*t[81] + 60*t[82] - 18*t[83] - (275*t[84])/4 + 
       (165*t[85])/4 - 98*t[86] + (467*t[87])/4 + (467*t[88])/8 - 
       (247*t[89])/8 - 2*t[97] - 16*t[98] - 144*t[99] + 518*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-40*t[1] - (7*t[2])/2 + 50*t[3] + 294*t[4] - (47*t[5])/4 - 
       (101*t[6])/2 - (35*t[7])/2 - 180*t[8] - (271*t[9])/4 - 9*t[10] + 
       (249*t[11])/2 + (213*t[12])/4 + (1429*t[13])/36 - (833*t[14])/6 - 
       (1013*t[15])/24 - 8*t[25] + 46*t[26] - 8*t[27] - 4*t[28] - 4*t[29] - 
       8*t[30] - 16*t[31] + 2*t[32] - 2*t[33] + 2*t[34] + 16*t[35] + 
       2*t[36] - 24*t[37] - 40*t[38] - 22*t[39] + 10*t[40] - t[41] + t[42] + 
       t[43] + 12*t[44] - (51*t[45])/2 + 27*t[46] + 53*t[47] - 62*t[48] - 
       13*t[49] - (139*t[51])/4 - 34*t[52] - 31*t[53] - 95*t[54] + 23*t[59] + 
       (3*t[60])/2 - 214*t[61] - 225*t[62] - 207*t[63] - (265*t[64])/2 + 
       (346*t[65])/3 + (428*t[66])/3 + 32*t[70] - 32*t[71] - 12*t[72] + 
       20*t[73] - 36*t[74] - 64*t[75] - 10*t[76] + 8*t[77] - 84*t[78] - 
       16*t[79] + 122*t[80] - 8*t[81] - 72*t[82] + 6*t[83] - 21*t[84] + 
       36*t[85] + 267*t[86] - 118*t[87] + 13*t[88] + (199*t[89])/4 - 
       32*t[95] - 16*t[96] + 14*t[97] - 16*t[98] - 144*t[99] + 518*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-10*t[1] + 5*t[2] - (299*t[3])/4 - (157*t[4])/4 - (1089*t[5])/8 + 
       (71*t[6])/2 + 164*t[7] - (375*t[8])/2 + (2703*t[9])/8 + 
       (341*t[10])/8 - (99*t[11])/4 + (217*t[12])/4 + (389*t[13])/12 + 
       (2437*t[14])/48 - (1513*t[15])/144 - 2*t[18] - 14*t[19] + 2*t[21] + 
       2*t[22] + 4*t[23] - 10*t[24] + 8*t[25] - 4*t[26] - 2*t[27] + 8*t[29] - 
       18*t[30] - 11*t[32] + 18*t[33] + 12*t[34] - 32*t[35] + 16*t[36] - 
       6*t[37] - 10*t[38] - 20*t[39] - 4*t[40] + 3*t[41] - 3*t[42] + 
       (39*t[43])/4 + 51*t[44] - 22*t[45] - 12*t[46] + 29*t[47] - 
       (125*t[48])/2 - (625*t[49])/8 + (101*t[50])/2 + (509*t[51])/16 - 
       (85*t[52])/2 + (561*t[53])/8 + (169*t[54])/4 - 8*t[57] + 24*t[59] + 
       (819*t[60])/4 - (321*t[61])/4 + (665*t[62])/8 + (591*t[63])/8 - 
       (2885*t[64])/8 + (1943*t[65])/12 + (327*t[66])/4 + 4*t[70] - 4*t[71] + 
       16*t[73] + 4*t[74] + 24*t[75] - 23*t[76] + 18*t[77] + 47*t[78] - 
       80*t[79] - 14*t[80] + 36*t[81] - 29*t[82] - 64*t[83] + (293*t[84])/4 + 
       (405*t[85])/4 - 35*t[86] - (485*t[87])/4 - (197*t[88])/8 + 
       (793*t[89])/8 - 8*t[95] - 24*t[96] - 10*t[97] - 144*t[98] - 12*t[99] + 
       750*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      (4*t[1] + 41*t[2] + (151*t[3])/4 - (635*t[4])/4 + (465*t[5])/8 - 
       (315*t[6])/2 - 92*t[7] - (409*t[8])/2 - (895*t[9])/8 + (875*t[10])/8 - 
       (1185*t[11])/4 - (65*t[12])/4 - (6521*t[13])/36 - (11621*t[14])/48 - 
       (9919*t[15])/144 - 2*t[19] - 22*t[21] + 14*t[22] + 14*t[23] + 
       2*t[24] - 4*t[25] + 4*t[26] + 26*t[27] - 8*t[29] - 22*t[30] + 
       19*t[32] - 2*t[33] - 10*t[34] + 32*t[35] - 16*t[36] + 14*t[37] + 
       6*t[38] - 20*t[39] + 18*t[40] - 10*t[41] + 10*t[42] - (15*t[43])/4 - 
       7*t[44] + 26*t[45] + 8*t[46] + 7*t[47] - (77*t[48])/2 + (49*t[49])/8 - 
       (35*t[50])/2 - (125*t[51])/16 + (19*t[52])/2 + (15*t[53])/8 - 
       (77*t[54])/4 + 8*t[57] - 18*t[59] - (995*t[60])/4 - (2975*t[61])/4 + 
       (731*t[62])/8 - (1507*t[63])/8 + (1797*t[64])/8 - (49*t[65])/4 + 
       (4723*t[66])/12 + 4*t[70] - 4*t[71] - 16*t[73] + 4*t[74] - 24*t[75] - 
       29*t[76] - 12*t[77] - 31*t[78] + 80*t[79] - 142*t[80] - 52*t[81] + 
       73*t[82] + 68*t[83] - (313*t[84])/4 + (167*t[85])/4 + 95*t[86] + 
       (553*t[87])/4 + (841*t[88])/8 + (623*t[89])/8 - 8*t[95] + 8*t[96] + 
       2*t[97] - 144*t[98] - 12*t[99] + 750*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((21*t[1])/2 - (73*t[2])/6 - 
       (119*t[3])/4 - (701*t[4])/8 - (2953*t[5])/24 + (206*t[6])/3 - 
       (727*t[7])/12 - (781*t[8])/12 + (3017*t[9])/24 + (4913*t[10])/48 - 
       (1167*t[11])/4 - (3581*t[12])/48 - (6805*t[13])/54 + (817*t[14])/96 - 
       (1499*t[15])/72 - 4*t[20] + 4*t[22] + 8*t[24] - (26*t[25])/3 - 
       (26*t[26])/3 + (58*t[27])/3 + (4*t[28])/3 + (20*t[29])/3 - 
       (32*t[30])/3 + (44*t[31])/3 - 6*t[32] - 2*t[33] + (11*t[34])/3 + 
       16*t[35] + (182*t[36])/3 - (4*t[37])/3 + (31*t[38])/3 + 38*t[39] - 
       (26*t[40])/3 + t[41]/6 - t[42]/6 - (115*t[43])/6 + (70*t[44])/3 - 
       (56*t[45])/3 + (197*t[46])/6 + (94*t[47])/3 - (19*t[48])/12 - 
       (67*t[49])/16 + (509*t[50])/12 + (1009*t[51])/96 - (217*t[52])/12 + 
       (195*t[53])/16 + (3425*t[54])/24 + t[58]/3 - 7*t[59] - 
       (4297*t[60])/24 - (4681*t[61])/24 + (13111*t[62])/48 + 
       (4739*t[63])/16 - (7015*t[64])/16 - (2947*t[65])/72 + (335*t[66])/8 - 
       4*t[69] - (16*t[70])/3 + (16*t[71])/3 - 8*t[72] + 32*t[73] - 
       (98*t[74])/3 - 40*t[75] + (13*t[76])/3 - (2*t[77])/3 + (34*t[78])/3 - 
       20*t[79] - (230*t[80])/3 + 13*t[81] - (34*t[82])/3 - 30*t[83] - 
       (367*t[84])/24 + (133*t[85])/24 - (1000*t[86])/3 + (1071*t[87])/8 + 
       (1549*t[88])/48 - (2123*t[89])/48 - (8*t[95])/3 - (44*t[96])/3 - 
       (65*t[97])/3 - 4*t[98] - 144*t[99] + 104*t[100] - 48*t[101])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-198*t[2] - (907*t[3])/24 - (571*t[4])/6 - (6977*t[5])/48 + 
       (467*t[6])/8 + (571*t[7])/24 + (5165*t[8])/24 + (4369*t[9])/48 - 
       (453*t[10])/8 + (2741*t[11])/24 + (851*t[12])/16 + (36565*t[13])/432 - 
       (3365*t[14])/48 - (1179*t[15])/32 + (16*t[18])/3 + 4*t[19] - 
       (8*t[21])/3 + 24*t[22] - 16*t[23] + (10*t[24])/3 + (74*t[25])/3 - 
       25*t[26] - (100*t[27])/3 + (10*t[28])/3 + (20*t[29])/3 - 
       (86*t[30])/3 - 14*t[31] - (14*t[32])/3 + (4*t[33])/3 - 17*t[34] - 
       4*t[35] + 2*t[36] + 24*t[37] + 4*t[38] - (8*t[39])/3 + 6*t[40] - 
       (11*t[41])/2 + (49*t[42])/6 - (3*t[43])/4 - 26*t[44] - (55*t[45])/6 + 
       9*t[46] + (353*t[47])/3 + (277*t[48])/6 - (23*t[49])/2 - 
       (85*t[50])/6 + (443*t[51])/12 + (71*t[52])/6 + (41*t[53])/2 - 
       (77*t[54])/6 + 4*t[57] + (31*t[58])/3 - (2*t[59])/3 - (257*t[60])/6 + 
       (453*t[61])/2 - (1561*t[62])/4 - (3041*t[63])/12 + (757*t[64])/2 + 
       (11779*t[65])/36 - (15683*t[66])/36 - (32*t[70])/3 + (32*t[71])/3 + 
       4*t[73] - (208*t[74])/3 - 58*t[75] - (35*t[76])/3 + (23*t[77])/3 - 
       (88*t[78])/3 + 38*t[79] + (65*t[80])/3 - (32*t[81])/3 - 
       (313*t[82])/6 + 116*t[83] + (49*t[84])/6 + (70*t[85])/3 + 
       (811*t[86])/3 + 157*t[87] + (153*t[88])/2 + (1943*t[89])/12 - 
       (19*t[97])/3 - 4*t[98] - 144*t[99] + 104*t[100] - 48*t[101])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((17*t[1])/6 - (71*t[2])/12 + (7*t[3])/24 - (1571*t[4])/12 + 
       (4307*t[5])/48 + (913*t[6])/24 - (1397*t[7])/24 + (25*t[8])/8 - 
       (5855*t[9])/48 + (724*t[10])/3 - (927*t[11])/8 - (533*t[12])/48 - 
       (13021*t[13])/432 - (3521*t[14])/144 + (22877*t[15])/288 - 2*t[24] - 
       (17*t[25])/3 + 3*t[26] + (19*t[27])/3 - (14*t[28])/3 - (10*t[29])/3 + 
       (10*t[30])/3 + (10*t[31])/3 - (5*t[32])/3 - t[33]/3 + (5*t[34])/3 + 
       16*t[35] + t[36] + 18*t[37] + 5*t[38] - 8*t[39] + t[40] + t[41]/6 - 
       t[42]/6 - (5*t[43])/12 - (2*t[44])/3 + (713*t[45])/12 + (47*t[46])/3 - 
       (233*t[47])/2 - (67*t[48])/12 - (937*t[49])/24 + (47*t[50])/4 + 
       (121*t[51])/6 - (97*t[52])/12 + (937*t[53])/24 + (443*t[54])/12 + 
       (7*t[58])/3 - (31*t[59])/6 - (466*t[60])/3 - (43*t[61])/12 + 
       (467*t[62])/3 + (863*t[63])/6 - (2021*t[64])/24 + (437*t[65])/12 + 
       (10345*t[66])/36 - 4*t[69] + 4*t[70] - 2*t[71] - 12*t[72] - 14*t[73] + 
       26*t[74] - 18*t[75] - (139*t[76])/3 + (67*t[77])/3 - (8*t[78])/3 + 
       4*t[79] - (724*t[80])/3 - (142*t[81])/3 + (77*t[82])/6 - 23*t[83] - 
       (130*t[84])/3 - 44*t[85] - (2105*t[86])/6 + (1433*t[87])/12 + 
       (1481*t[88])/24 + (265*t[89])/6 - (7*t[97])/3 - 176*t[98] + 
       188*t[99] + 178*t[100] + 24*t[101])*\[Zeta][2] + 
     HPL[{0, 1, 1}, 1 - u]*(2*t[1] - (378*t[2])/5 - (131*t[3])/5 + 101*t[4] - 
       (371*t[5])/10 - (6*t[6])/5 - (719*t[7])/10 + (379*t[8])/10 - 
       (219*t[9])/5 - (369*t[10])/5 + (1141*t[11])/10 + (122*t[12])/5 + 
       (9277*t[13])/180 + (2059*t[14])/60 + (1267*t[15])/30 + 16*t[24] + 
       24*t[25] - 20*t[26] - (32*t[27])/5 + 32*t[28] - (8*t[29])/5 - 
       16*t[32] + 40*t[33] + 8*t[35] - (8*t[36])/5 - 4*t[38] - (76*t[39])/5 + 
       16*t[40] - 2*t[41] + 2*t[42] - (9*t[43])/2 - 12*t[44] - 17*t[45] + 
       (34*t[46])/5 + 22*t[47] + (299*t[48])/10 + (429*t[49])/10 - 
       (41*t[50])/2 - (211*t[51])/20 + (41*t[52])/2 - (429*t[53])/10 - 
       (109*t[54])/10 + 8*t[59] + 70*t[60] + 138*t[61] - (197*t[62])/5 + 
       49*t[63] - 11*t[64] + (368*t[65])/15 - (2048*t[66])/15 - 40*t[74] - 
       8*t[78] + 16*t[80] + 20*t[81] - (328*t[82])/5 + 8*t[84] + 22*t[85] + 
       48*t[86] - 30*t[87] - 15*t[88] - 17*t[89] + (48*t[99])/5 - 
       (114*t[100])/5)*\[Zeta][2]^2 + HPL[{0, 1, 1}, 1 - w]*
      (-12*t[1] + (476*t[2])/5 + 121*t[3] - (353*t[4])/5 + (462*t[5])/5 - 
       (273*t[6])/10 + (251*t[7])/5 + (17*t[8])/5 - 22*t[9] + (584*t[10])/5 - 
       (247*t[11])/2 - (217*t[12])/5 - (1001*t[13])/15 - (533*t[14])/4 - 
       (59*t[15])/10 - (8*t[16])/5 - (4*t[17])/5 - (16*t[19])/5 + 
       (24*t[21])/5 - (56*t[23])/5 + (12*t[24])/5 - (16*t[25])/5 + 
       (76*t[26])/5 + (136*t[27])/5 - (224*t[28])/5 - (56*t[30])/5 + 
       (72*t[32])/5 - (204*t[33])/5 - (92*t[35])/5 + (352*t[36])/5 - 
       (32*t[37])/5 - (92*t[38])/5 + (96*t[39])/5 - (84*t[40])/5 + 
       (26*t[43])/5 - (32*t[44])/5 - (36*t[45])/5 + (176*t[46])/5 + 
       (56*t[47])/5 - (17*t[48])/10 - (158*t[49])/5 + (87*t[50])/10 + 
       (107*t[51])/20 - (167*t[52])/10 + (158*t[53])/5 + (19*t[54])/2 + 
       (104*t[59])/5 - (527*t[60])/5 - (944*t[61])/5 + (663*t[62])/10 + 
       (573*t[63])/10 + (144*t[64])/5 + (1312*t[65])/15 + (3421*t[66])/15 + 
       (8*t[67])/5 + (48*t[68])/5 - (24*t[69])/5 - (12*t[72])/5 + 
       (88*t[74])/5 + (24*t[75])/5 + (6*t[77])/5 + 8*t[78] + 24*t[79] + 
       (224*t[80])/5 + (138*t[81])/5 - (38*t[82])/5 - (108*t[83])/5 - 
       (64*t[84])/5 - (213*t[85])/5 + (184*t[86])/5 + (97*t[87])/5 + 
       (97*t[88])/10 - (109*t[89])/10 + (8*t[92])/5 - (8*t[94])/5 - 8*t[95] + 
       (48*t[99])/5 - (114*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*((18*t[1])/5 + (12*t[2])/5 + 
       (63*t[3])/5 + (42*t[4])/5 - (309*t[5])/10 + (129*t[6])/5 + 
       (21*t[7])/5 + (57*t[8])/5 + (267*t[9])/10 - (294*t[10])/5 - 
       (69*t[11])/5 + (147*t[12])/10 - (153*t[13])/10 - (101*t[14])/5 - 
       (549*t[15])/20 + (12*t[26])/5 - (24*t[27])/5 + (24*t[29])/5 - 
       (24*t[30])/5 + (24*t[32])/5 - (24*t[33])/5 - (12*t[34])/5 + 
       (48*t[35])/5 + (24*t[39])/5 - (48*t[40])/5 + (6*t[41])/5 - 
       (6*t[42])/5 - (24*t[43])/5 - 6*t[45] - (12*t[46])/5 + (84*t[47])/5 + 
       (114*t[48])/5 - (21*t[49])/5 + (42*t[50])/5 + (3*t[51])/2 + 
       (18*t[52])/5 + (21*t[53])/5 + (12*t[54])/5 + (12*t[58])/5 - 
       (6*t[59])/5 - (126*t[60])/5 - (198*t[61])/5 + (99*t[62])/5 - 
       (357*t[63])/5 + (279*t[64])/5 + (88*t[65])/5 + (28*t[66])/5 - 
       (84*t[76])/5 - (24*t[77])/5 + (48*t[78])/5 + (24*t[80])/5 - 
       (36*t[81])/5 + (48*t[82])/5 + (18*t[84])/5 - (78*t[85])/5 + 
       (72*t[86])/5 + (174*t[87])/5 + (87*t[88])/5 + (93*t[89])/5 - 
       (12*t[97])/5 - 144*t[98] + (516*t[99])/5 - (102*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-4*t[1])/5 - (389*t[2])/5 - 71*t[3] + 67*t[4] - (629*t[5])/10 + 
       (227*t[6])/2 - 13*t[7] + (403*t[8])/5 - (31*t[9])/2 - (218*t[10])/5 + 
       (123*t[11])/2 + (29*t[12])/10 + (826*t[13])/15 + (627*t[14])/10 + 
       (689*t[15])/60 + (4*t[16])/5 - (4*t[17])/5 + (16*t[18])/5 + 
       (4*t[19])/5 - (12*t[21])/5 + 4*t[22] + (28*t[23])/5 - (22*t[24])/5 + 
       (22*t[25])/5 + (14*t[26])/5 - 22*t[27] + (92*t[28])/5 - 8*t[30] + 
       (72*t[31])/5 - (16*t[32])/5 + (66*t[33])/5 - (12*t[34])/5 + 
       (48*t[35])/5 - 4*t[36] + (12*t[37])/5 - (8*t[38])/5 + (2*t[39])/5 + 
       (8*t[40])/5 + (16*t[41])/5 - (16*t[42])/5 + (14*t[43])/5 + 
       (4*t[44])/5 + (16*t[45])/5 - (142*t[46])/5 - (28*t[47])/5 + 
       (323*t[48])/10 + (171*t[49])/5 + (43*t[50])/10 + (19*t[51])/10 + 
       (117*t[52])/10 - (177*t[53])/5 - (183*t[54])/10 + (4*t[56])/5 - 
       4*t[57] + (12*t[58])/5 - (26*t[59])/5 + t[60]/5 + (877*t[61])/5 + 
       (301*t[62])/10 - (613*t[63])/10 - (1303*t[64])/10 + (548*t[65])/15 - 
       (491*t[66])/5 - (4*t[67])/5 - (12*t[68])/5 + (12*t[69])/5 + 
       (36*t[72])/5 - (116*t[74])/5 + (132*t[75])/5 - (132*t[76])/5 - 
       (28*t[77])/5 + (248*t[78])/5 - (132*t[79])/5 - (96*t[80])/5 + 
       (14*t[81])/5 + (12*t[82])/5 - (116*t[83])/5 + (91*t[84])/5 - 
       (82*t[85])/5 - 64*t[86] + (266*t[87])/5 + (133*t[88])/5 + 
       (209*t[89])/10 - (4*t[92])/5 + (4*t[94])/5 - (12*t[97])/5 - 
       144*t[98] + (516*t[99])/5 - (102*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]^3*(-10*t[99] - (73*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]^3*((-343*t[2])/10 - (2*t[3])/3 + (559*t[4])/15 - 
       (69*t[5])/20 + (125*t[6])/4 - (749*t[7])/30 + (343*t[8])/30 - 
       (1907*t[9])/60 - (349*t[10])/30 + (639*t[11])/20 - (949*t[12])/60 + 
       (10721*t[13])/540 - (39*t[14])/5 - (1697*t[15])/360 - (4*t[24])/5 - 
       (16*t[27])/3 + (12*t[31])/5 - 4*t[35] + (5*t[41])/3 - (5*t[42])/3 + 
       (6*t[43])/5 - (10*t[45])/3 - (2*t[46])/3 + (38*t[47])/15 + 
       (337*t[48])/60 + 12*t[49] - (43*t[50])/60 + (5*t[51])/6 + 
       (43*t[52])/60 - 12*t[53] - (941*t[54])/60 - (287*t[60])/15 + 
       (476*t[61])/15 - (269*t[62])/20 + (41*t[63])/20 + (38*t[64])/5 - 
       (1078*t[65])/45 - (931*t[66])/30 - 6*t[74] - (2*t[78])/3 - 
       (12*t[79])/5 + (10*t[80])/3 + (11*t[81])/3 - (5*t[82])/3 + 
       (9*t[83])/5 - (88*t[84])/15 - (73*t[85])/10 - (178*t[86])/15 + 
       (743*t[87])/30 + (743*t[88])/60 + (13*t[89])/30 - 10*t[99] - 
       (73*t[100])/5)*\[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - u]*
      ((24*t[1])/5 + (74*t[2])/5 - (11*t[3])/5 + (62*t[4])/5 - (54*t[5])/5 - 
       (513*t[6])/10 + (59*t[7])/2 + (53*t[8])/10 + (7*t[9])/10 - 
       (369*t[10])/5 + (426*t[11])/5 + (69*t[12])/10 + (61*t[13])/4 + 
       (877*t[14])/60 + (157*t[15])/60 - (4*t[16])/5 + (4*t[17])/5 - 
       (48*t[18])/5 - (8*t[19])/5 + (24*t[21])/5 - 12*t[22] - (56*t[23])/5 - 
       2*t[24] + (54*t[25])/5 - (54*t[26])/5 - 6*t[27] - 20*t[28] + 
       (4*t[30])/5 - (16*t[32])/5 - 10*t[33] - (136*t[35])/5 + (12*t[36])/5 + 
       (36*t[37])/5 + (16*t[38])/5 - (18*t[39])/5 - (16*t[40])/5 + 
       (2*t[41])/5 + (14*t[42])/5 + (7*t[43])/10 + (24*t[44])/5 - 
       (3*t[45])/5 - (18*t[46])/5 + (58*t[47])/5 + 4*t[48] + (91*t[49])/10 + 
       (52*t[50])/5 - (81*t[51])/20 - (92*t[52])/5 - (91*t[53])/10 - 
       (167*t[54])/5 - (12*t[56])/5 + 12*t[57] - (16*t[59])/5 + 
       (54*t[60])/5 + (384*t[61])/5 - 88*t[62] + 4*t[63] + 28*t[64] + 
       (82*t[65])/3 - 66*t[66] - (24*t[74])/5 - (32*t[77])/5 + (12*t[81])/5 - 
       (12*t[82])/5 + (18*t[85])/5 + (156*t[86])/5 - (18*t[87])/5 - 
       (9*t[88])/5 + (21*t[89])/5 - (8*t[92])/5 - (72*t[100])/5)*
      \[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - w]*(-4*t[1] + (11*t[2])/5 - 
       (103*t[3])/5 + (126*t[4])/5 + (18*t[5])/5 + (98*t[6])/5 - 
       (167*t[7])/5 - 31*t[8] + 3*t[9] + (76*t[10])/5 - 29*t[11] - 23*t[12] - 
       (881*t[13])/30 + (73*t[14])/60 + (92*t[15])/5 + (4*t[16])/5 + 
       (48*t[19])/5 - 4*t[24] - (18*t[25])/5 + (42*t[26])/5 + (18*t[27])/5 + 
       20*t[28] - (28*t[29])/5 + (36*t[31])/5 - 4*t[32] - (8*t[35])/5 + 
       16*t[36] - (36*t[37])/5 - 8*t[38] + (46*t[39])/5 - 4*t[44] + 
       (12*t[45])/5 - 16*t[46] - (44*t[47])/5 + (39*t[48])/5 + (62*t[49])/5 - 
       (7*t[50])/5 + (137*t[51])/20 + (7*t[52])/5 - (84*t[53])/5 + 
       (64*t[54])/5 - (4*t[59])/5 - (96*t[60])/5 - 17*t[61] + (121*t[62])/5 + 
       (237*t[63])/5 - (723*t[64])/10 + (319*t[65])/15 + (919*t[66])/15 - 
       (16*t[68])/5 + (24*t[69])/5 + (24*t[72])/5 - (104*t[74])/5 + 
       (36*t[75])/5 + 4*t[77] - (16*t[78])/5 + (36*t[80])/5 + (6*t[81])/5 - 
       (4*t[82])/5 - 12*t[83] - (72*t[84])/5 - (113*t[85])/5 - 
       (288*t[86])/5 + (49*t[87])/5 + t[88]/10 + (28*t[89])/5 + 
       (24*t[95])/5 - (72*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*(-12*t[99] - (54*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (t[1]/5 + (82*t[2])/5 - (81*t[3])/5 - (193*t[4])/10 - 8*t[5] - 
       (231*t[6])/20 + (12*t[7])/5 - (143*t[8])/5 + 24*t[9] + (63*t[10])/4 - 
       (461*t[11])/20 + (549*t[12])/20 + (191*t[13])/18 + (289*t[14])/24 + 
       (1211*t[15])/60 + (2*t[17])/5 - (8*t[24])/5 + 6*t[25] + 6*t[27] + 
       4*t[28] - (12*t[31])/5 - 4*t[32] + 6*t[35] - 6*t[38] + 4*t[39] + 
       4*t[40] - t[41] + t[42] - (13*t[43])/5 + (22*t[44])/5 + (2*t[45])/5 - 
       (7*t[46])/5 - 14*t[47] + t[48]/20 - (71*t[49])/20 - (151*t[50])/20 - 
       (99*t[51])/40 + (151*t[52])/20 + (71*t[53])/20 + (341*t[54])/20 + 
       6*t[59] + (277*t[60])/10 - (23*t[61])/10 + (479*t[62])/20 + 
       (273*t[63])/4 - (261*t[64])/20 + (123*t[65])/5 + (196*t[66])/15 - 
       (56*t[74])/5 + (12*t[75])/5 - (8*t[78])/5 + (8*t[79])/5 + 4*t[80] + 
       (33*t[81])/5 - (41*t[82])/5 - 12*t[83] + (48*t[84])/5 + (15*t[85])/2 + 
       (132*t[86])/5 - (223*t[87])/10 - (223*t[88])/20 - (3*t[89])/4 - 
       12*t[99] - (54*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*(18*t[99] + (129*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*((13*t[1])/5 - 16*t[2] + 
       (257*t[3])/10 - (11*t[4])/10 + (553*t[5])/20 - (31*t[6])/2 - 
       (29*t[7])/10 + (713*t[8])/10 - (1021*t[9])/20 - (369*t[10])/20 + 
       (19*t[11])/5 - (247*t[12])/5 - (37*t[13])/2 - (307*t[14])/24 - 
       (443*t[15])/120 + 8*t[24] - 6*t[25] - 2*t[27] - (24*t[31])/5 - 
       6*t[35] + 6*t[38] - (39*t[43])/5 - 6*t[44] + (32*t[46])/5 + 2*t[47] + 
       (141*t[48])/10 + (359*t[49])/20 + (97*t[50])/10 - (71*t[51])/40 - 
       (97*t[52])/10 - (359*t[53])/20 - (99*t[54])/5 - (22*t[59])/5 - 
       (641*t[60])/10 - (279*t[61])/10 - (539*t[62])/10 - (591*t[63])/10 + 
       (1623*t[64])/20 - (569*t[65])/15 + (79*t[66])/10 + (2*t[67])/5 + 
       (34*t[74])/5 + 4*t[78] + (24*t[79])/5 - 6*t[80] - (46*t[81])/5 + 
       (56*t[82])/5 + (38*t[83])/5 - (54*t[84])/5 - (119*t[85])/5 + 
       (142*t[86])/5 + (227*t[87])/5 + (227*t[88])/10 + (63*t[89])/20 + 
       18*t[99] + (129*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*((156*t[99])/5 + (198*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (12*t[1] + 20*t[2] + 44*t[3] - (279*t[4])/5 + (723*t[5])/10 - 
       (3*t[6])/5 - 19*t[7] + 127*t[8] - (993*t[9])/10 - (392*t[10])/5 - 
       (81*t[11])/5 - (771*t[12])/10 - (667*t[13])/10 - (47*t[14])/15 + 
       (203*t[15])/20 - (8*t[16])/5 - (8*t[17])/5 - (16*t[18])/5 - 
       (4*t[19])/5 + (12*t[21])/5 - 4*t[22] - (28*t[23])/5 + 18*t[24] - 
       (142*t[25])/5 + (82*t[26])/5 + 6*t[27] + 4*t[28] - (8*t[30])/5 + 
       (24*t[31])/5 - (16*t[32])/5 + 2*t[33] - (28*t[35])/5 - (68*t[36])/5 - 
       (36*t[37])/5 + (76*t[38])/5 + 2*t[39] + (24*t[41])/5 - (24*t[42])/5 + 
       (8*t[43])/5 - (32*t[44])/5 + (4*t[45])/5 + (48*t[46])/5 - 
       (28*t[47])/5 + (134*t[48])/5 + 7*t[49] - (36*t[50])/5 - 
       (17*t[51])/10 + (16*t[52])/5 - 7*t[53] + (44*t[54])/5 - (4*t[56])/5 + 
       4*t[57] - 12*t[59] - (449*t[60])/5 - (71*t[61])/5 - (331*t[62])/10 - 
       (873*t[63])/10 + (125*t[64])/2 - (217*t[65])/15 + (266*t[66])/5 + 
       (4*t[67])/5 + (12*t[68])/5 - (12*t[69])/5 - (12*t[72])/5 + 
       (108*t[74])/5 + (36*t[75])/5 + (16*t[77])/5 + (68*t[78])/5 - 
       (36*t[79])/5 + (96*t[80])/5 - 20*t[81] + (206*t[82])/5 - 
       (62*t[83])/5 - 8*t[84] - (118*t[85])/5 + (8*t[86])/5 + (194*t[87])/5 + 
       (97*t[88])/5 - (15*t[89])/2 + (4*t[92])/5 - (4*t[94])/5 + 
       (156*t[99])/5 + (198*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*((26*t[1])/5 - (53*t[2])/10 + 
       (481*t[3])/10 + (41*t[4])/5 + (63*t[5])/20 + (697*t[6])/10 + 
       (91*t[7])/5 + 88*t[8] - (407*t[9])/20 - (1843*t[10])/10 + 
       (196*t[11])/5 - (1699*t[12])/20 - (343*t[13])/15 + (1499*t[14])/60 - 
       (683*t[15])/120 + (8*t[16])/5 + (16*t[19])/5 + 18*t[24] + 
       (4*t[25])/5 - (32*t[26])/5 - (68*t[27])/5 + (36*t[28])/5 + 
       (24*t[29])/5 - (48*t[30])/5 + 8*t[31] + (34*t[32])/5 - (24*t[33])/5 - 
       (12*t[34])/5 - (24*t[35])/5 + (26*t[36])/5 - (32*t[37])/5 + 
       (56*t[38])/5 + (46*t[39])/5 - (22*t[40])/5 - (22*t[41])/5 + 
       (22*t[42])/5 + (7*t[43])/10 - 8*t[44] - (66*t[45])/5 - (7*t[46])/5 + 
       (126*t[47])/5 + (267*t[48])/10 + (109*t[49])/10 + (99*t[50])/10 + 
       (77*t[51])/10 + (21*t[52])/10 - (109*t[53])/10 - (121*t[54])/10 + 
       (12*t[58])/5 - 14*t[59] - (7*t[60])/5 - (66*t[61])/5 + 
       (119*t[62])/10 - (887*t[63])/10 + 76*t[64] - (613*t[65])/15 - 
       (231*t[66])/5 - (12*t[68])/5 - (16*t[71])/5 - (36*t[74])/5 - 
       20*t[75] - (84*t[76])/5 - 20*t[77] + (48*t[78])/5 - (264*t[79])/5 + 
       (64*t[80])/5 - (108*t[81])/5 + (2*t[82])/5 + (72*t[83])/5 + 
       (41*t[84])/5 + (51*t[85])/5 + (134*t[86])/5 + (7*t[87])/5 + 
       (7*t[88])/10 - (203*t[89])/10 - (4*t[90])/5 - (12*t[97])/5 - 
       144*t[98] + (456*t[99])/5 + (24*t[100])/5 - (24*t[102])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((62*t[1])/5 + (39*t[2])/2 - (244*t[3])/5 - (251*t[4])/10 - 
       (151*t[5])/10 + (659*t[6])/10 - (92*t[7])/5 - (404*t[8])/5 - 
       (137*t[9])/5 - (2353*t[10])/20 - (193*t[11])/10 + (19*t[12])/4 - 
       (61*t[13])/5 + (131*t[14])/120 + (3191*t[15])/60 - (4*t[16])/5 - 
       (16*t[19])/5 - 10*t[24] - (92*t[25])/5 + (128*t[26])/5 - 4*t[27] + 
       (124*t[28])/5 + (24*t[29])/5 - (48*t[30])/5 + 8*t[31] - 6*t[32] + 
       4*t[33] - (12*t[34])/5 + (12*t[35])/5 - 10*t[36] - (124*t[37])/5 - 
       (8*t[38])/5 + 22*t[39] + (18*t[40])/5 - (2*t[41])/5 + (2*t[42])/5 + 
       4*t[43] + (16*t[44])/5 - (52*t[45])/5 - (9*t[46])/5 + (38*t[47])/5 + 
       (87*t[48])/10 - (3*t[49])/20 + (287*t[50])/10 + (89*t[51])/40 - 
       (167*t[52])/10 - (69*t[53])/20 + (53*t[54])/5 + (12*t[58])/5 - 
       (22*t[59])/5 - (547*t[60])/10 + (43*t[61])/10 + (887*t[62])/20 + 
       (761*t[63])/20 - (209*t[64])/4 + (1817*t[65])/30 + (1723*t[66])/30 + 
       4*t[68] - (16*t[71])/5 + (24*t[72])/5 - (192*t[74])/5 + 4*t[75] - 
       (132*t[76])/5 - (24*t[77])/5 + (204*t[78])/5 - (328*t[79])/5 + 
       (332*t[80])/5 + 20*t[81] - (158*t[82])/5 + (32*t[83])/5 + 
       (19*t[84])/2 - (381*t[85])/10 - (224*t[86])/5 + (213*t[87])/2 + 
       (213*t[88])/4 - (221*t[89])/20 - (4*t[90])/5 - (12*t[97])/5 - 
       144*t[98] + (456*t[99])/5 + (24*t[100])/5 - (24*t[102])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((-8*t[1])/5 + (5*t[2])/2 - (43*t[3])/5 - (16*t[4])/5 - (112*t[5])/5 + 
       (91*t[6])/10 + (299*t[7])/5 + t[8]/5 + (343*t[9])/10 - 99*t[10] + 
       (391*t[11])/10 - (31*t[12])/2 + (1498*t[13])/45 + (511*t[14])/12 - 
       (1067*t[15])/60 + (4*t[16])/5 + (16*t[19])/5 - 10*t[24] + 
       (4*t[25])/5 - (4*t[26])/5 - (36*t[27])/5 + (16*t[28])/5 + 
       (24*t[29])/5 - (48*t[30])/5 + (4*t[31])/5 + 6*t[32] - 8*t[33] - 
       (44*t[35])/5 + (18*t[36])/5 - (32*t[37])/5 + (16*t[38])/5 + 
       (42*t[39])/5 + (6*t[40])/5 + (2*t[41])/5 - (2*t[42])/5 + (4*t[43])/5 + 
       (8*t[44])/5 - (24*t[45])/5 - (87*t[46])/5 + 10*t[47] - (61*t[48])/10 + 
       (13*t[49])/5 + (27*t[50])/2 + (13*t[51])/4 - (27*t[52])/2 - 
       (13*t[53])/5 - (7*t[54])/2 - (16*t[59])/5 + (153*t[60])/5 + 
       (363*t[61])/5 - (302*t[62])/5 + (124*t[63])/5 - (591*t[64])/10 + 
       (73*t[65])/5 - (167*t[66])/3 - (4*t[68])/5 - (24*t[72])/5 - 
       (24*t[73])/5 - (128*t[74])/5 + (28*t[75])/5 - (18*t[77])/5 + 4*t[78] - 
       (114*t[79])/5 + (88*t[80])/5 - 2*t[81] + (34*t[82])/5 - (16*t[83])/5 + 
       (46*t[84])/5 - (13*t[85])/5 + (314*t[86])/5 - 11*t[87] - 
       (11*t[88])/2 - (219*t[89])/10 - (472*t[99])/5 - (516*t[100])/5 - 
       (16*t[102])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      (2*t[1] + (169*t[2])/20 + (221*t[3])/10 - (216*t[4])/5 + 
       (861*t[5])/20 + (213*t[6])/10 - (234*t[7])/5 + (47*t[8])/5 - 
       (81*t[9])/5 + (313*t[10])/20 - (399*t[11])/5 - (59*t[12])/4 - 
       (2371*t[13])/60 - (313*t[14])/15 - (989*t[15])/60 - (2*t[17])/5 + 
       (8*t[18])/5 + 2*t[22] + 6*t[24] - 3*t[25] - t[26] - (17*t[27])/5 + 
       (8*t[28])/5 - (58*t[30])/5 + (22*t[31])/5 + (7*t[32])/5 - 
       (17*t[33])/5 + (64*t[35])/5 + t[36] + 2*t[37] + 4*t[38] - 5*t[40] + 
       t[41] - t[42] + (6*t[43])/5 - (36*t[44])/5 + (32*t[45])/5 + 
       (3*t[46])/10 - (63*t[47])/5 + 19*t[48] + (57*t[49])/20 - 
       (73*t[50])/5 - (9*t[51])/10 + (73*t[52])/5 - (57*t[53])/20 + 
       (43*t[54])/10 + (2*t[56])/5 - 2*t[57] - 4*t[59] - (27*t[60])/2 - 
       (513*t[61])/10 + (431*t[62])/10 + (271*t[63])/10 - (29*t[64])/4 + 
       (454*t[65])/15 + (753*t[66])/10 + (2*t[68])/5 - (24*t[72])/5 - 
       (24*t[73])/5 + (52*t[74])/5 + (106*t[75])/5 + (9*t[77])/5 + 16*t[78] + 
       (51*t[79])/5 - (48*t[80])/5 - (14*t[81])/5 + (47*t[82])/5 - 
       (187*t[83])/5 + (34*t[84])/5 - 4*t[85] - (193*t[86])/5 - 
       (62*t[87])/5 - (31*t[88])/5 + (209*t[89])/20 + (136*t[99])/5 + 
       42*t[100] + (4*t[102])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*((-187*t[2])/5 - (19*t[3])/10 + (331*t[4])/10 + 
       (46*t[5])/5 - (83*t[6])/20 - (318*t[7])/5 + (281*t[8])/5 - 
       (501*t[9])/10 - (773*t[10])/20 + (559*t[11])/20 - (549*t[12])/20 - 
       (83*t[13])/6 + (2699*t[14])/120 + (1241*t[15])/60 + 6*t[24] - 
       2*t[25] + 2*t[26] + 6*t[27] + 18*t[28] + 4*t[29] - (24*t[30])/5 - 
       10*t[32] + 8*t[33] + (68*t[35])/5 - (4*t[36])/5 + (32*t[39])/5 + 
       10*t[40] - 3*t[43] - 10*t[44] - 6*t[45] + 8*t[46] + 4*t[47] + 
       (787*t[48])/20 + (613*t[49])/20 - (301*t[50])/20 - (373*t[51])/40 + 
       (301*t[52])/20 - (613*t[53])/20 - (89*t[54])/20 - (253*t[60])/10 - 
       (133*t[61])/10 - (119*t[62])/4 + (963*t[63])/20 + (2047*t[64])/20 - 
       (133*t[65])/10 - (91*t[66])/30 - (24*t[73])/5 - 10*t[74] + 
       (72*t[75])/5 + (38*t[78])/5 + (14*t[81])/5 - (24*t[82])/5 - 
       (94*t[83])/5 - (13*t[84])/10 - (39*t[85])/2 + (317*t[87])/10 + 
       (317*t[88])/20 + (93*t[89])/4 + (136*t[99])/5 + 42*t[100] + 
       (4*t[102])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((16*t[1])/5 - (113*t[2])/10 + (182*t[3])/5 + 20*t[4] - (58*t[5])/5 - 
       (216*t[6])/5 - (337*t[7])/5 - (251*t[8])/5 - (19*t[9])/2 - 
       (539*t[10])/10 - (343*t[11])/5 - (159*t[12])/5 - (3356*t[13])/45 - 
       (2299*t[14])/30 - (1739*t[15])/60 - (4*t[16])/5 - (4*t[17])/5 - 
       (16*t[18])/5 - (12*t[19])/5 + (12*t[21])/5 - 4*t[22] - (28*t[23])/5 - 
       (4*t[24])/5 - 10*t[25] + 10*t[26] + 10*t[27] + (4*t[28])/5 - 
       (56*t[30])/5 + (8*t[31])/5 - (46*t[32])/5 - (94*t[33])/5 + 
       (12*t[35])/5 + (2*t[36])/5 + (44*t[37])/5 + (84*t[39])/5 - 
       (6*t[40])/5 + (16*t[41])/5 - (16*t[42])/5 - (16*t[43])/5 - 
       (32*t[44])/5 - (74*t[45])/5 + (77*t[46])/5 + (114*t[47])/5 + 
       38*t[48] + (147*t[49])/10 - 10*t[50] - (28*t[51])/5 + 6*t[52] - 
       (147*t[53])/10 - (43*t[54])/5 - (4*t[56])/5 + 4*t[57] + (28*t[59])/5 - 
       115*t[60] - (1181*t[61])/5 + (531*t[62])/5 - 65*t[63] + 
       (413*t[64])/10 - (14*t[65])/3 + (1014*t[66])/5 + (16*t[68])/5 - 
       (12*t[69])/5 + (12*t[72])/5 + 44*t[74] + (124*t[75])/5 + 
       (64*t[78])/5 + (264*t[79])/5 + 4*t[80] + (12*t[81])/5 + 
       (194*t[82])/5 - (182*t[83])/5 - (51*t[84])/5 - 37*t[85] - 
       (136*t[86])/5 + 47*t[87] + (47*t[88])/2 + (407*t[89])/10 - 
       (144*t[98])/5 + (648*t[99])/5 + (828*t[100])/5 + (24*t[102])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-58*t[1])/5 - (281*t[2])/10 - (12*t[3])/5 + (279*t[4])/5 + 
       (86*t[5])/5 - (2*t[6])/5 - (208*t[7])/5 + (456*t[8])/5 - 
       (439*t[9])/10 + (142*t[10])/5 - (9*t[11])/5 - (583*t[12])/10 - 
       (2141*t[13])/90 + (61*t[14])/20 + (353*t[15])/60 + (4*t[16])/5 + 
       6*t[24] + (26*t[25])/5 - 2*t[26] - (34*t[27])/5 + (76*t[28])/5 + 
       (8*t[29])/5 - (24*t[30])/5 + (8*t[31])/5 - 6*t[32] + 4*t[33] + 
       20*t[35] + (26*t[36])/5 + (16*t[37])/5 - (32*t[38])/5 - (48*t[39])/5 - 
       2*t[40] + (8*t[41])/5 - (8*t[42])/5 - (8*t[43])/5 - 12*t[44] + 
       4*t[45] + (29*t[46])/5 - (34*t[47])/5 + (239*t[48])/5 + 
       (193*t[49])/5 - (81*t[50])/5 - (557*t[51])/20 + (81*t[52])/5 - 
       (219*t[53])/5 - (167*t[54])/5 - (2*t[59])/5 + (47*t[60])/5 - 
       (123*t[61])/5 + (251*t[62])/10 + (13*t[63])/10 - (533*t[64])/10 + 
       (91*t[65])/3 + (1529*t[66])/15 - (16*t[68])/5 - (48*t[72])/5 + 
       (176*t[74])/5 + (208*t[75])/5 - (48*t[76])/5 + 8*t[77] + 
       (232*t[78])/5 - (12*t[79])/5 - (84*t[80])/5 - (24*t[81])/5 + 4*t[82] - 
       56*t[83] + (89*t[84])/5 + (77*t[85])/5 - (312*t[86])/5 - 
       (97*t[87])/5 - (97*t[88])/10 + (737*t[89])/10 + 8*t[95] - 
       (144*t[98])/5 + (648*t[99])/5 + (828*t[100])/5 + (24*t[102])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - w]*((-792*t[1])/35 + (1338*t[2])/35 - 
       (364*t[3])/15 - (1124*t[4])/105 - (1768*t[5])/105 + (370*t[6])/21 + 
       (64*t[7])/3 + (372*t[8])/7 - (436*t[9])/35 + (1088*t[10])/105 - 
       (3932*t[11])/105 + (4624*t[12])/105 - (13597*t[13])/315 + 
       (1018*t[14])/45 + (6974*t[15])/315 + (16*t[17])/5 + (64*t[21])/7 - 
       (64*t[23])/7 - (328*t[24])/35 - (8*t[25])/35 + (256*t[26])/35 + 
       (328*t[27])/35 - (24*t[28])/5 + (752*t[32])/35 - (256*t[33])/35 + 
       (24*t[35])/5 - (752*t[38])/35 + (88*t[39])/35 - (752*t[40])/35 - 
       (216*t[41])/35 + (216*t[42])/35 - (184*t[43])/35 - (368*t[44])/35 - 
       (416*t[45])/21 + (844*t[46])/35 + (2048*t[47])/105 + 
       (1802*t[48])/105 - (472*t[49])/21 - (754*t[50])/105 - 
       (914*t[51])/105 + (754*t[52])/105 + (472*t[53])/21 + (198*t[54])/35 + 
       (848*t[59])/35 + (3076*t[60])/105 - (180*t[61])/7 + (5146*t[62])/105 - 
       (190*t[63])/21 - (424*t[64])/35 + (3874*t[65])/105 + 
       (19486*t[66])/315 + (64*t[67])/35 - (64*t[70])/7 + (64*t[71])/7 + 
       (264*t[74])/7 - (976*t[76])/105 + (32*t[78])/21 + (152*t[81])/7 - 
       24*t[82] + (36*t[83])/5 + (3058*t[84])/105 - (32*t[85])/21 - 
       (3964*t[87])/105 - (1982*t[88])/105 - (104*t[89])/35 + (2*t[91])/35)*
      \[Zeta][2]^3 + HPL[{0, 0, 0, 1}, 1 - u]*(15*t[1] + 21*t[2] + t[3]/2 + 
       (85*t[4])/2 - (267*t[5])/4 - (137*t[6])/2 + 35*t[7] - 129*t[8] + 
       (225*t[9])/4 - (225*t[10])/4 + 25*t[11] + (43*t[12])/2 - 
       (320*t[13])/9 + (95*t[14])/24 - (223*t[15])/8 - 8*t[18] - 2*t[19] - 
       8*t[21] + 10*t[23] - 8*t[24] - 3*t[26] + 2*t[29] - 4*t[31] + 4*t[32] - 
       4*t[33] + 2*t[34] - 4*t[38] + 4*t[39] - 4*t[40] - 8*t[41] + 12*t[42] - 
       t[43]/2 + 6*t[44] - 15*t[45] - 2*t[46] + 54*t[47] + t[48]/2 - 
       (15*t[49])/4 + (45*t[50])/2 + (43*t[51])/8 - (49*t[52])/2 + 
       (15*t[53])/4 - 21*t[54] - t[58] - 11*t[59] + 6*t[60] + 3*t[61] - 
       6*t[62] + 6*t[63] + 22*t[64] - 10*t[65] + (16*t[66])/3 - 6*t[89])*
      \[Zeta][3] + HPL[{0, 0, 0, 1}, 1 - w]*(-11*t[1] - 8*t[3] + (3*t[4])/2 + 
       (11*t[5])/2 + (7*t[6])/4 + 10*t[7] + 8*t[8] + 8*t[9] + (273*t[10])/4 - 
       (231*t[11])/4 - (113*t[12])/4 - (13*t[13])/9 + (345*t[14])/8 + 
       (77*t[15])/12 + 8*t[25] - 2*t[26] - 4*t[30] + 4*t[37] - 12*t[38] - 
       3*t[39] - 4*t[40] + 2*t[43] + 6*t[45] - 22*t[46] - 12*t[47] + 
       t[48]/4 + (199*t[49])/4 + (17*t[50])/4 - (225*t[51])/8 - 
       (17*t[52])/4 - (215*t[53])/4 - (23*t[54])/4 + 6*t[59] - (19*t[60])/2 + 
       (173*t[61])/2 - 23*t[62] + 91*t[63] - (383*t[64])/4 + 22*t[65] + 
       (179*t[66])/6 + 4*t[69] - 8*t[70] + 8*t[71] - t[76] + 4*t[77] + 
       2*t[78] - 30*t[80] - 3*t[81] - 3*t[82] + 7*t[84] - 6*t[85] - 
       12*t[86] + 10*t[87] - 11*t[88] - (21*t[89])/4 + 2*t[96])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((-35*t[1])/6 + (75*t[2])/2 - 
       (713*t[3])/12 + (113*t[4])/2 - (403*t[5])/12 + (298*t[6])/3 - 
       (161*t[7])/6 + (679*t[8])/6 + (165*t[9])/4 - (95*t[10])/12 + 
       (122*t[11])/3 + (43*t[12])/3 + (1945*t[13])/36 + (3403*t[14])/24 + 
       (940*t[15])/27 - 4*t[18] + 10*t[19] + 24*t[20] + 10*t[21] - 10*t[22] - 
       (38*t[23])/3 + 6*t[24] - 2*t[26] - 6*t[27] + 22*t[28] + 5*t[29] - 
       (26*t[30])/3 + 16*t[31] + (34*t[32])/3 + (62*t[33])/3 - (13*t[34])/3 - 
       16*t[35] - 8*t[36] - (32*t[37])/3 - 2*t[38] - 5*t[39] - (17*t[40])/3 + 
       (11*t[41])/2 - (15*t[42])/2 + (19*t[43])/6 - (27*t[44])/2 - 
       (2*t[45])/3 - 8*t[46] - 39*t[47] - (7*t[48])/2 - (19*t[49])/4 + 
       (19*t[50])/6 + (11*t[51])/8 + (67*t[52])/6 - (39*t[53])/4 + 
       (116*t[54])/3 - 2*t[58] + (16*t[59])/3 + (550*t[60])/3 + 
       (689*t[61])/3 + (607*t[62])/12 + (363*t[63])/4 - (3713*t[64])/12 - 
       (919*t[65])/18 - (233*t[66])/6 - 2*t[69] + (52*t[70])/3 - 
       (52*t[71])/3 + 48*t[72] + (26*t[74])/3 + 24*t[75] - (86*t[76])/3 - 
       (2*t[77])/3 + 47*t[78] - 20*t[79] + (20*t[80])/3 + (34*t[81])/3 - 
       24*t[82] - t[83] + (115*t[84])/2 + 28*t[85] - (280*t[86])/3 - 
       (199*t[87])/2 - (145*t[88])/12 - 47*t[89] - (28*t[95])/3 - 
       (52*t[96])/3 + (13*t[97])/3 - 112*t[98] + 96*t[99] - 316*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (t[1]/6 - (23*t[2])/2 - (11*t[3])/12 - (9*t[4])/2 + (403*t[5])/6 + 
       (145*t[6])/12 - (743*t[7])/6 + (253*t[8])/6 - (431*t[9])/2 - 
       (83*t[10])/12 - (13*t[11])/12 - (161*t[12])/12 + (65*t[13])/3 - 
       (685*t[14])/8 - (31*t[15])/216 - 2*t[18] + 4*t[19] + 8*t[20] - 
       6*t[21] + 2*t[22] + (10*t[23])/3 - 2*t[24] - 2*t[26] + 2*t[27] - 
       22*t[28] - 3*t[29] - (14*t[30])/3 - 16*t[31] + (34*t[32])/3 + 
       (2*t[33])/3 - (28*t[34])/3 + 16*t[35] + 4*t[36] + (10*t[37])/3 + 
       4*t[38] - 7*t[39] + (22*t[40])/3 + (17*t[41])/2 - (19*t[42])/2 + 
       (14*t[43])/3 - t[44]/2 + (70*t[45])/3 + 2*t[46] - 30*t[47] + 
       (25*t[48])/4 - (59*t[49])/4 - (565*t[50])/12 + (65*t[51])/8 + 
       (485*t[52])/12 + (33*t[53])/4 + (383*t[54])/12 - 2*t[58] + 
       (37*t[59])/3 + (131*t[60])/6 + (259*t[61])/6 - (401*t[62])/12 - 
       (477*t[63])/4 + (959*t[64])/6 - (1255*t[65])/18 + (64*t[66])/3 - 
       2*t[69] + (52*t[70])/3 - (52*t[71])/3 + 40*t[72] + (26*t[74])/3 - 
       24*t[75] - (77*t[76])/3 - (8*t[77])/3 + 11*t[78] + 20*t[79] - 
       (46*t[80])/3 - (47*t[81])/3 + 31*t[82] + t[83] + (23*t[84])/2 - 
       45*t[85] - (16*t[86])/3 + (65*t[87])/2 + (647*t[88])/12 - 
       (103*t[89])/4 - (28*t[95])/3 - (10*t[96])/3 + (31*t[97])/3 - 
       112*t[98] + 96*t[99] - 316*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*(100*t[98] - 92*t[99] - 
       133*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (2*t[1] + (21*t[2])/2 - (43*t[3])/2 + (163*t[4])/2 - (203*t[5])/4 - 
       (11*t[6])/4 + 52*t[7] - 38*t[8] + (595*t[9])/4 + (125*t[10])/4 + 
       (389*t[11])/4 - 4*t[12] + (2215*t[13])/36 + (3323*t[14])/24 + 
       (247*t[15])/72 - 4*t[19] + 4*t[21] - 4*t[22] - 4*t[23] + 8*t[25] - 
       14*t[26] - 2*t[27] + 16*t[28] + 4*t[29] - 4*t[31] - 12*t[32] + 
       12*t[33] + 18*t[34] - 12*t[35] - 8*t[36] - 12*t[37] + 4*t[39] + 
       2*t[40] - 2*t[41] + 2*t[42] + (11*t[43])/2 + 4*t[44] - 5*t[45] - 
       8*t[46] - 4*t[47] - (61*t[48])/4 + (155*t[49])/4 - (21*t[50])/4 - 
       (131*t[51])/8 + (29*t[52])/4 - (147*t[53])/4 - (141*t[54])/4 - 
       4*t[57] - 2*t[58] - 3*t[59] + 76*t[60] + 95*t[61] - (81*t[62])/2 + 
       (163*t[63])/2 - 138*t[64] - (229*t[65])/6 - (403*t[66])/3 - 4*t[69] + 
       4*t[72] + 2*t[73] - 2*t[74] + 30*t[75] + 26*t[76] + 4*t[77] - 
       6*t[78] - 10*t[79] + 34*t[80] + 15*t[81] - 9*t[82] - 18*t[83] + 
       15*t[84] + (37*t[85])/2 - 10*t[86] - (133*t[87])/2 - (133*t[88])/4 + 
       t[89] + 2*t[97] + 100*t[98] - 92*t[99] - 133*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      (28*t[98] - 20*t[99] - 102*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-15*t[1])/2 + 28*t[2] - (103*t[3])/6 + (241*t[4])/6 - (11*t[5])/2 + 
       (43*t[6])/2 - (13*t[7])/6 - (373*t[8])/6 + (115*t[9])/3 - 
       (167*t[10])/6 + (383*t[11])/6 + (37*t[12])/2 + (2129*t[13])/36 + 
       (865*t[14])/9 + (1025*t[15])/36 - 4*t[18] + 4*t[19] + 16*t[20] + 
       4*t[21] - 10*t[22] - 4*t[23] + 2*t[24] + 2*t[26] - 4*t[27] + 
       12*t[28] - 2*t[29] - 2*t[30] + 20*t[31] - 2*t[32] + 10*t[33] + 
       5*t[34] - 8*t[35] - 6*t[36] - 12*t[37] - 4*t[38] + 2*t[39] - 3*t[40] + 
       (3*t[41])/2 - (7*t[42])/2 + (71*t[43])/6 - 2*t[44] - 4*t[45] - 
       21*t[47] - (77*t[48])/2 - (11*t[49])/3 + (41*t[50])/6 + t[51]/3 + 
       (37*t[52])/6 + (11*t[53])/3 - (109*t[54])/6 - 2*t[58] - (3*t[59])/2 + 
       71*t[60] + 109*t[61] + (205*t[62])/6 - (229*t[63])/6 - (517*t[64])/3 - 
       (952*t[65])/9 - (1082*t[66])/9 + 4*t[70] - 4*t[71] + 20*t[72] + 
       2*t[73] + 8*t[74] + 6*t[75] + 6*t[76] + 2*t[77] - 15*t[79] + 
       13*t[80] + 4*t[81] - 10*t[82] + (88*t[83])/3 - (31*t[84])/6 + 
       (80*t[85])/3 - (163*t[86])/3 - (184*t[87])/3 - (92*t[88])/3 - 
       (187*t[89])/3 + t[97] + 28*t[98] - 20*t[99] - 102*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-7*t[1])/2 + (37*t[2])/2 - (443*t[3])/12 + (191*t[4])/3 + 
       (7*t[5])/12 + (81*t[6])/2 - (347*t[7])/12 + (707*t[8])/12 - 36*t[9] + 
       (99*t[10])/2 + (277*t[11])/12 - (53*t[12])/3 + (1459*t[13])/72 + 
       (101*t[14])/8 + (115*t[15])/8 - 4*t[18] + 2*t[19] + 8*t[20] + 
       2*t[21] - 2*t[23] - 2*t[24] + 4*t[25] - 4*t[26] + (8*t[27])/3 - 
       (10*t[28])/3 + (13*t[29])/3 - t[30]/3 - 2*t[31] + (21*t[32])/2 + 
       8*t[33] - 7*t[34] - 16*t[35] - 2*t[36] + 4*t[37] - (20*t[39])/3 - 
       (9*t[40])/2 + t[41]/2 - (5*t[42])/2 + (31*t[43])/4 + (25*t[44])/6 + 
       (11*t[45])/2 - 4*t[46] - 24*t[47] + (127*t[48])/12 - (45*t[49])/4 + 
       (151*t[50])/12 + (31*t[51])/24 + (5*t[52])/12 - t[53]/4 - 
       (15*t[54])/4 + (5*t[59])/2 + (113*t[60])/3 + (145*t[61])/2 + 
       (7*t[62])/4 - (941*t[63])/12 - (206*t[64])/3 - (1589*t[65])/18 - 
       (188*t[66])/9 - 2*t[69] + 8*t[70] - 8*t[71] + (26*t[72])/3 + 4*t[73] + 
       2*t[74] - 22*t[75] - 16*t[76] + 2*t[77] + 3*t[78] - 4*t[79] - 
       20*t[80] - (37*t[81])/3 - t[82]/3 + (47*t[83])/3 + (28*t[84])/3 - 
       (37*t[85])/6 - 39*t[86] + (41*t[87])/3 + (125*t[88])/6 - 
       (56*t[89])/3 - 4*t[95] - 4*t[96] + 3*t[97] - 72*t[98] + 88*t[99] - 
       92*t[100])*\[Zeta][3] + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-15*t[1])/2 - (83*t[2])/6 - (25*t[3])/4 - (207*t[4])/2 + 
       (265*t[5])/6 - (14*t[6])/3 - (236*t[7])/3 - (20*t[8])/3 - 
       (421*t[9])/3 + (377*t[10])/6 - 118*t[11] + (91*t[12])/6 - 
       (4277*t[13])/54 - (1295*t[14])/24 + (389*t[15])/72 - 4*t[18] + 
       8*t[19] - 6*t[21] + 8*t[22] + 6*t[23] - 2*t[24] + (2*t[25])/3 - 
       (13*t[26])/3 + (8*t[27])/3 - (64*t[28])/3 - (11*t[29])/3 - t[30]/3 - 
       (20*t[31])/3 + (33*t[32])/2 - 4*t[33] - (41*t[34])/3 - 4*t[35] + 
       (22*t[36])/3 + (22*t[37])/3 + (8*t[38])/3 - 6*t[39] - (11*t[40])/6 + 
       (29*t[41])/6 - (41*t[42])/6 + (20*t[43])/3 + (37*t[44])/6 + 
       (53*t[45])/3 - (7*t[46])/3 - (73*t[47])/3 + t[48]/3 - (55*t[49])/2 + 
       (16*t[50])/3 + (503*t[51])/24 + t[52]/3 + 40*t[53] + (475*t[54])/6 - 
       (7*t[58])/3 + 6*t[59] - (619*t[60])/3 - (707*t[61])/6 - 
       (139*t[62])/12 + (753*t[63])/4 + 229*t[64] - (1049*t[65])/18 + 
       (491*t[66])/3 + 6*t[69] + (34*t[70])/3 - (34*t[71])/3 - (22*t[74])/3 - 
       52*t[75] - (55*t[76])/3 + (11*t[77])/3 - (85*t[78])/3 + 42*t[79] - 
       (166*t[80])/3 - 28*t[81] + (79*t[82])/3 + 6*t[83] - (239*t[84])/6 - 
       (379*t[85])/6 - (14*t[86])/3 + (205*t[87])/2 + (563*t[88])/12 - 
       (479*t[89])/6 + (32*t[95])/3 - (4*t[96])/3 - t[97]/3 - 44*t[98] + 
       12*t[99] - 90*t[100])*\[Zeta][3] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*(-5*t[1] + (21*t[2])/2 - (625*t[3])/12 + 
       (71*t[4])/3 - (73*t[5])/3 + (89*t[6])/4 + (461*t[7])/6 + 
       (338*t[8])/3 + (200*t[9])/3 + (91*t[10])/4 + (443*t[11])/3 + 
       (143*t[12])/4 + (19285*t[13])/216 + (1643*t[14])/24 - (149*t[15])/24 + 
       (8*t[18])/3 + 2*t[19] + 8*t[20] + (26*t[21])/3 - 12*t[22] - 10*t[23] + 
       (20*t[24])/3 + (10*t[25])/3 - 6*t[26] + (4*t[27])/3 - (10*t[28])/3 + 
       (13*t[29])/3 + (11*t[30])/3 - 4*t[31] + (19*t[32])/6 + (44*t[33])/3 + 
       3*t[34] - 16*t[35] - 2*t[36] + 2*t[37] - (43*t[39])/3 + (5*t[40])/2 + 
       7*t[41] - (17*t[42])/3 - (19*t[43])/2 + (7*t[44])/2 - (17*t[45])/6 - 
       7*t[46] + (58*t[47])/3 + (13*t[48])/3 - (27*t[49])/4 + (23*t[50])/3 + 
       (131*t[51])/24 - (43*t[52])/3 - (35*t[53])/4 - (37*t[54])/6 + 
       (2*t[58])/3 - t[59]/3 + (881*t[60])/6 + 246*t[61] - 254*t[62] + 
       (14*t[63])/3 + (307*t[64])/4 + (2029*t[65])/18 - (1975*t[66])/9 + 
       4*t[69] + (14*t[70])/3 - (14*t[71])/3 + 18*t[72] + 2*t[73] - 
       (26*t[74])/3 - 18*t[75] - (52*t[76])/3 + (31*t[77])/3 + (73*t[78])/3 - 
       4*t[79] + (31*t[80])/3 - t[81]/3 - (41*t[82])/6 - 3*t[83] + 
       (245*t[84])/6 + (121*t[85])/6 + (239*t[86])/3 - (53*t[87])/2 + 
       (79*t[88])/4 + (397*t[89])/12 - 4*t[95] - 14*t[96] + (4*t[97])/3 - 
       44*t[98] + 12*t[99] - 90*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-5*t[1])/2 + (43*t[2])/2 - (547*t[3])/24 + (173*t[4])/3 - 
       (707*t[5])/48 + (91*t[6])/8 + (461*t[7])/24 + (2299*t[8])/24 + 
       (729*t[9])/16 + (75*t[10])/8 + (1949*t[11])/24 + (1327*t[12])/48 + 
       (433*t[13])/16 + (935*t[14])/16 + (10955*t[15])/288 + 2*t[19] - 
       4*t[20] - 2*t[21] + 4*t[22] + 2*t[23] - 6*t[24] - 2*t[25] + 5*t[26] + 
       (20*t[27])/3 - (52*t[28])/3 - (17*t[29])/3 + (5*t[30])/3 - 4*t[31] - 
       (5*t[32])/2 - 4*t[33] + 4*t[34] + 4*t[35] - 8*t[36] - 10*t[37] - 
       6*t[38] - (8*t[39])/3 - t[40]/2 - 6*t[41] + 6*t[42] - (17*t[43])/4 - 
       (41*t[44])/6 - (15*t[45])/2 + 9*t[46] + 3*t[47] - (143*t[48])/12 - 
       (7*t[49])/4 + (181*t[50])/12 - (25*t[51])/3 - (133*t[52])/12 + 
       (5*t[53])/4 - (63*t[54])/4 + t[58] + 2*t[59] - (61*t[60])/3 + 
       (187*t[61])/2 + (5*t[62])/2 - (391*t[63])/6 - (643*t[64])/6 - 
       (2245*t[65])/36 - (1271*t[66])/36 - 2*t[69] - (10*t[72])/3 + 4*t[73] - 
       24*t[75] + 8*t[76] - 3*t[77] - 13*t[78] - 4*t[79] - 9*t[80] - 
       (4*t[81])/3 - (23*t[82])/6 + (155*t[83])/3 - (67*t[84])/6 + 
       (13*t[85])/3 - 45*t[86] + (25*t[87])/6 + (25*t[88])/12 - 
       (74*t[89])/3 + t[97] + 80*t[98] - 24*t[99] - 88*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (2*t[1] + 14*t[2] + (179*t[3])/6 + (673*t[4])/24 + (715*t[5])/12 - 
       (61*t[6])/2 + (931*t[7])/12 - (739*t[8])/12 + 30*t[9] - 
       (477*t[10])/16 + (391*t[11])/3 + (1357*t[12])/48 + (199*t[13])/3 + 
       (817*t[14])/96 + (863*t[15])/48 + 4*t[18] + 2*t[20] + 8*t[21] - 
       2*t[22] - 8*t[23] + 2*t[24] - 10*t[25] + 12*t[26] + (8*t[27])/3 - 
       (22*t[28])/3 - (20*t[29])/3 + (29*t[30])/3 + 2*t[31] - (35*t[32])/2 + 
       4*t[33] + 8*t[34] - 20*t[35] - 2*t[38] - (17*t[39])/3 + (3*t[40])/2 + 
       3*t[41] - t[42] - (27*t[43])/4 + (11*t[44])/3 - (37*t[45])/2 + 
       (3*t[46])/2 + 29*t[47] - (347*t[48])/12 + (381*t[49])/16 + 
       (241*t[50])/12 - (419*t[51])/96 - (265*t[52])/12 - (149*t[53])/16 - 
       (397*t[54])/8 + t[58] + (9*t[59])/2 - (425*t[60])/24 + (965*t[61])/8 - 
       (739*t[62])/16 - (6215*t[63])/48 - (857*t[64])/48 - (7763*t[65])/72 - 
       (10957*t[66])/72 - 4*t[69] - 8*t[70] + 8*t[71] - (16*t[72])/3 + 
       2*t[73] - 6*t[74] - 8*t[75] + 21*t[76] - 35*t[78] + 8*t[79] + 
       14*t[80] + (8*t[81])/3 - t[82]/3 + (92*t[83])/3 - (799*t[84])/24 - 
       (439*t[85])/24 + 15*t[86] - (251*t[87])/24 - (1115*t[88])/48 - 
       (1883*t[89])/48 + 10*t[96] + 4*t[97] + 80*t[98] - 24*t[99] - 
       88*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*((-5*t[1])/2 + (3*t[2])/2 - (27*t[3])/8 + 
       (23*t[4])/2 - (93*t[5])/16 + (7*t[6])/8 + (11*t[7])/8 + (45*t[8])/8 + 
       (37*t[9])/16 + (105*t[10])/8 + (11*t[11])/8 + (13*t[12])/16 + 
       (17*t[13])/16 + (269*t[14])/48 + (83*t[15])/32 + 2*t[25] + 2*t[30] - 
       4*t[35] - 2*t[38] - (5*t[43])/4 + (5*t[45])/2 + t[46] - 5*t[47] - 
       (5*t[48])/4 - t[49]/2 - t[50]/4 - t[51]/2 + t[52]/4 + t[53]/2 + 
       t[54]/4 + t[59]/2 + (27*t[60])/2 + (11*t[61])/2 + t[62] - t[63] - 
       30*t[64] - (53*t[65])/4 - (11*t[66])/4 + t[77] - 15*t[80] - 
       (3*t[82])/2 + (5*t[84])/2 - t[85]/2 - 9*t[86] - (5*t[87])/2 - 
       (5*t[88])/4 - (7*t[89])/4 + 100*t[98] - 92*t[99] - 66*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((3*t[1])/2 + 23*t[2] - (127*t[3])/6 + (1201*t[4])/24 - 33*t[5] - 
       3*t[6] + (371*t[7])/6 + (143*t[8])/6 + (373*t[9])/3 - (727*t[10])/48 + 
       (1339*t[11])/12 + (263*t[12])/16 + (4769*t[13])/72 + 
       (32459*t[14])/288 + (109*t[15])/144 + 4*t[18] + 6*t[20] + 12*t[21] - 
       6*t[22] - 12*t[23] + 6*t[24] - 9*t[26] + 4*t[27] + 12*t[28] - 
       2*t[29] + 4*t[30] + 8*t[31] + 2*t[33] + 13*t[34] - 16*t[35] - 
       8*t[36] - 14*t[37] + 5*t[38] + 10*t[39] - 9*t[40] + (9*t[41])/2 - 
       (5*t[42])/2 + t[43]/3 + 2*t[44] - 9*t[45] + (7*t[46])/2 + 17*t[47] - 
       23*t[48] + (571*t[49])/48 + t[50]/3 - (211*t[51])/96 - (4*t[52])/3 - 
       (571*t[53])/48 - (433*t[54])/24 - t[59] + (709*t[60])/8 + 
       (733*t[61])/8 - (2437*t[62])/48 - (3227*t[63])/48 - (4117*t[64])/48 - 
       (275*t[65])/72 - (9757*t[66])/72 - 4*t[69] - 4*t[70] + 4*t[71] + 
       10*t[72] + 4*t[73] + 12*t[75] + 18*t[76] + 4*t[77] - 8*t[78] - 
       5*t[79] + 39*t[80] + 11*t[81] - 12*t[82] + (22*t[83])/3 + 
       (281*t[84])/24 + (541*t[85])/24 + (47*t[86])/3 - (1643*t[87])/24 - 
       (1643*t[88])/48 + (221*t[89])/48 + t[97] + 100*t[98] - 92*t[99] - 
       66*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-37*t[1])/2 + 12*t[2] - (23*t[3])/2 + 11*t[4] - (39*t[5])/2 + 
       (167*t[6])/4 + t[7] + 41*t[8] + (13*t[9])/2 - t[10]/4 - (35*t[11])/4 + 
       (37*t[12])/4 - (149*t[13])/6 + (113*t[14])/4 + (205*t[15])/18 + 
       25*t[26] - 2*t[27] + 2*t[28] - 4*t[30] - 10*t[31] + 3*t[34] + 
       2*t[37] - 25*t[38] - 6*t[39] + t[40] - (3*t[41])/2 + (3*t[42])/2 - 
       2*t[43] - 2*t[44] + 14*t[45] + 2*t[46] - 28*t[47] + (51*t[48])/4 - 
       (133*t[49])/4 + (107*t[50])/4 - (29*t[51])/4 - (63*t[52])/4 - 
       (39*t[53])/4 - (71*t[54])/4 + 3*t[58] + 13*t[59] + 43*t[60] + 
       (185*t[61])/2 + (53*t[62])/2 + (45*t[63])/2 - (547*t[64])/4 + 
       (172*t[65])/3 + (653*t[66])/6 + 2*t[69] + 18*t[72] - 16*t[73] + 
       8*t[75] - 70*t[76] - 9*t[77] + 58*t[78] - 4*t[79] - 48*t[80] - 
       8*t[81] - t[82] + 21*t[83] + 60*t[84] + 3*t[85] - 24*t[86] + 
       18*t[87] + 24*t[88] + 25*t[89] - 12*t[95] - 22*t[96] - 10*t[97] - 
       456*t[98] + 480*t[99] - 66*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((17*t[1])/2 + 9*t[2] - t[3] + 
       (181*t[4])/2 - (51*t[5])/2 + (41*t[6])/2 - (115*t[7])/4 - 
       (241*t[8])/4 - (257*t[9])/4 - 56*t[10] - (37*t[11])/4 - 
       (151*t[12])/4 - (1487*t[13])/72 - (37*t[14])/8 + (1231*t[15])/72 + 
       2*t[18] + 2*t[19] - 2*t[20] - 2*t[21] - 6*t[22] + 8*t[23] + 8*t[25] + 
       3*t[26] - 8*t[27] + 4*t[29] + 2*t[30] - 4*t[31] - 2*t[33] - 33*t[34] - 
       7*t[38] + 2*t[39] + 3*t[40] + (13*t[41])/2 - (19*t[42])/2 + 
       (57*t[43])/4 - 8*t[44] + (31*t[45])/2 - 6*t[46] - 34*t[47] + 
       (113*t[48])/4 - (13*t[49])/4 + (21*t[50])/4 + (81*t[51])/8 - 
       (25*t[52])/4 + (13*t[53])/4 + (17*t[54])/4 - 8*t[57] + 3*t[58] + 
       26*t[59] - (9*t[60])/2 + (155*t[61])/2 + (235*t[62])/2 + 
       (77*t[63])/2 - (199*t[64])/4 - (463*t[65])/3 + (271*t[66])/6 + 
       4*t[72] - 16*t[73] + 16*t[75] - 71*t[76] - 4*t[77] + 54*t[78] - 
       8*t[79] - 66*t[80] - 13*t[81] - 10*t[82] - 2*t[83] + 19*t[84] - 
       52*t[85] - 112*t[86] + 56*t[87] + 28*t[88] + (121*t[89])/4 - 6*t[97] - 
       456*t[98] + 480*t[99] - 66*t[100])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]^2*((-43*t[1])/6 - (5*t[2])/6 - (73*t[3])/4 - 
       (16*t[4])/3 + (473*t[5])/24 - (181*t[6])/12 - (34*t[7])/3 - 
       (64*t[8])/3 - (425*t[9])/24 + (172*t[10])/3 - (191*t[11])/12 - 
       (85*t[12])/24 + (2125*t[13])/216 + (643*t[14])/24 + (1291*t[15])/48 + 
       2*t[19] - 2*t[21] + 2*t[22] + 2*t[23] + 2*t[25] - (7*t[26])/3 + 
       (14*t[27])/3 - (4*t[28])/3 - (14*t[29])/3 + (14*t[30])/3 + 4*t[31] - 
       (8*t[32])/3 + (8*t[33])/3 + (31*t[34])/3 + 4*t[35] - 4*t[37] - 
       4*t[38] - (10*t[39])/3 + (13*t[40])/3 - (7*t[41])/6 + (7*t[42])/6 + 
       (47*t[43])/12 + (2*t[44])/3 - (5*t[45])/6 + 3*t[46] - 22*t[47] - 
       (76*t[48])/3 + (13*t[49])/3 - 3*t[50] - (41*t[51])/12 - (8*t[52])/3 - 
       (13*t[53])/3 + (8*t[54])/3 - (7*t[58])/3 + t[59] + (64*t[60])/3 - 
       (40*t[61])/3 + (547*t[62])/12 + (1195*t[63])/12 - (353*t[64])/4 - 
       (755*t[65])/18 + (731*t[66])/18 + 4*t[74] + (70*t[76])/3 + 6*t[77] - 
       (40*t[78])/3 + (11*t[80])/3 + 8*t[81] - (11*t[82])/2 - 5*t[84] + 
       (56*t[85])/3 - 47*t[86] - (136*t[87])/3 - (68*t[88])/3 - 33*t[89] + 
       (10*t[97])/3 + 184*t[98] - 184*t[99] - 55*t[100])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - w]^2*((11*t[1])/2 - (77*t[2])/6 + (74*t[3])/3 + 
       (41*t[4])/12 + (247*t[5])/12 - (193*t[6])/4 - 4*t[7] - (200*t[8])/3 - 
       (103*t[9])/12 + (261*t[10])/8 + (287*t[11])/12 + (19*t[12])/8 + 
       (23*t[13])/12 - (3539*t[14])/144 - (101*t[15])/6 - (20*t[25])/3 - 
       (11*t[26])/3 + (2*t[27])/3 - (28*t[28])/3 - (2*t[29])/3 + 
       (26*t[30])/3 - (26*t[31])/3 + t[34]/3 - 12*t[35] - 4*t[36] - 2*t[37] + 
       9*t[38] - (11*t[39])/3 + (14*t[40])/3 - t[41]/6 + t[42]/6 - 
       (7*t[43])/3 + (8*t[44])/3 + (37*t[46])/6 - (93*t[48])/4 - 
       (33*t[49])/8 - (17*t[50])/4 + (79*t[51])/48 - (113*t[52])/12 + 
       (57*t[53])/8 - 18*t[54] - (7*t[58])/3 + t[59]/6 + (241*t[60])/12 - 
       (167*t[61])/4 - (2173*t[62])/24 - (141*t[63])/8 + (1213*t[64])/24 - 
       (1319*t[65])/36 - (217*t[66])/12 - 2*t[69] - 4*t[72] - 2*t[74] - 
       20*t[75] + (103*t[76])/3 + (13*t[77])/3 - (178*t[78])/3 + 30*t[79] + 
       14*t[80] - t[81]/3 - (5*t[82])/3 + 17*t[83] - (163*t[84])/12 + 
       (97*t[85])/12 + (182*t[86])/3 - (153*t[87])/4 - (121*t[88])/8 - 
       (413*t[89])/24 - 4*t[95] + 6*t[96] + (19*t[97])/3 + 184*t[98] - 
       184*t[99] - 55*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*(-t[1] - 3*t[2] + (23*t[3])/2 - 34*t[4] + 
       (89*t[5])/4 - (137*t[6])/4 + (69*t[7])/2 - (47*t[8])/2 - 
       (241*t[9])/4 - (131*t[10])/2 + (163*t[11])/4 + (5*t[12])/4 - 
       (35*t[13])/12 - (241*t[14])/4 + (713*t[15])/72 - 4*t[26] - 12*t[28] - 
       4*t[30] - 12*t[31] - 4*t[35] + 6*t[36] + 4*t[37] + 4*t[38] - 8*t[39] + 
       10*t[40] + 12*t[44] - t[45] - 7*t[46] + 2*t[47] + (29*t[48])/4 - 
       7*t[49] + (61*t[50])/4 + (31*t[51])/4 - (61*t[52])/4 + 7*t[53] - 
       (37*t[54])/4 - 5*t[59] - (195*t[60])/2 - (59*t[61])/2 - 
       (189*t[62])/4 + (217*t[63])/4 + (1009*t[64])/4 + (298*t[65])/3 + 
       75*t[66] + 6*t[69] + 4*t[72] - 4*t[73] + 2*t[74] - 36*t[75] - 
       8*t[76] - 10*t[77] - 20*t[78] + 12*t[79] + 16*t[80] - 7*t[81] + 
       5*t[82] + 25*t[83] - 7*t[84] - (23*t[85])/2 + 54*t[86] + 
       (179*t[87])/2 + (179*t[88])/4 + (25*t[89])/4 - 160*t[98] + 104*t[99] - 
       50*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (-4*t[1] - (153*t[2])/2 + (43*t[3])/2 - 13*t[4] + (317*t[5])/4 + 
       (197*t[6])/4 - (351*t[7])/2 - (233*t[8])/2 - (1159*t[9])/4 + 
       (229*t[10])/2 - (785*t[11])/4 - (161*t[12])/4 - (1222*t[13])/9 - 
       (1541*t[14])/12 + (395*t[15])/72 - 8*t[18] + 8*t[19] - 8*t[20] - 
       24*t[21] + 8*t[22] + 24*t[23] - 12*t[24] + 8*t[25] + 6*t[26] - 
       10*t[27] - 24*t[28] + 4*t[29] - 8*t[30] - 8*t[31] - 4*t[33] - 
       26*t[34] + 12*t[35] + 12*t[36] + 30*t[37] - 6*t[38] - 20*t[39] + 
       14*t[40] - 3*t[41] - t[42] + 10*t[43] - 4*t[44] + 28*t[45] - 
       12*t[46] - 56*t[47] + (197*t[48])/4 - 11*t[49] - (11*t[50])/4 + 
       (21*t[51])/4 + (19*t[52])/4 + 11*t[53] + (235*t[54])/4 - 4*t[57] + 
       10*t[59] - (189*t[60])/2 - (227*t[61])/2 + (453*t[62])/4 + 
       (1283*t[63])/4 + (441*t[64])/4 - 43*t[65] + (859*t[66])/3 + 18*t[69] + 
       8*t[70] - 8*t[71] - 28*t[72] - 8*t[73] - 6*t[74] - 48*t[75] - 
       34*t[76] - 4*t[77] + 16*t[79] - 130*t[80] - 11*t[81] + 31*t[82] - 
       73*t[83] - 10*t[84] - (119*t[85])/2 - 208*t[86] + (169*t[87])/2 + 
       (169*t[88])/4 - (37*t[89])/4 - 2*t[97] - 160*t[98] + 104*t[99] - 
       50*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-7*t[1])/3 + (107*t[2])/6 - (247*t[3])/12 + 49*t[4] - (74*t[5])/3 + 
       (379*t[6])/12 + (215*t[7])/12 + (375*t[8])/4 + (285*t[9])/4 - 
       (235*t[10])/12 + (184*t[11])/3 + (68*t[12])/3 + (1669*t[13])/72 + 
       (1627*t[14])/24 + (829*t[15])/36 - (4*t[18])/3 + 2*t[19] - 4*t[20] - 
       (10*t[21])/3 + 4*t[22] + 6*t[23] - (22*t[24])/3 - (8*t[25])/3 + 
       (16*t[26])/3 - (4*t[27])/3 - 16*t[28] + t[29] - 5*t[30] - 4*t[31] - 
       (7*t[32])/6 - 6*t[33] + (5*t[34])/3 + 12*t[35] - 8*t[36] - 10*t[37] - 
       4*t[38] - (23*t[40])/6 - (16*t[41])/3 + (14*t[42])/3 - (65*t[43])/12 - 
       (49*t[44])/6 - (21*t[45])/2 + 5*t[46] + (25*t[47])/3 + (43*t[48])/6 + 
       (13*t[49])/6 + (79*t[50])/6 - (73*t[51])/8 - (13*t[52])/6 - 
       (8*t[53])/3 - (31*t[54])/3 + 2*t[58] - t[59]/3 - 6*t[60] + 
       (19*t[61])/3 + (62*t[62])/3 + (106*t[63])/3 - 17*t[64] - 28*t[65] - 
       (65*t[66])/9 + (8*t[70])/3 - (8*t[71])/3 + (4*t[74])/3 - (8*t[76])/3 + 
       t[77]/3 + (8*t[78])/3 - (16*t[80])/3 + (2*t[81])/3 - (10*t[82])/3 + 
       (4*t[84])/3 - t[85] - (46*t[86])/3 - (5*t[87])/3 - (5*t[88])/6 - 
       (85*t[89])/6 - 16*t[98] + 24*t[99] - 40*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*(-t[1]/2 + (9*t[2])/2 + 
       (331*t[3])/12 - (113*t[4])/3 + (503*t[5])/6 + (253*t[6])/12 + 
       (7*t[7])/12 + (199*t[8])/4 - (251*t[9])/4 + (13*t[10])/12 - 
       (61*t[11])/6 + (68*t[12])/3 + (307*t[13])/216 - (2045*t[14])/72 + 
       (43*t[15])/18 + 4*t[20] - (8*t[25])/3 + (16*t[26])/3 + 4*t[27] - 
       8*t[28] - 7*t[29] - 13*t[30] - t[32]/2 - 7*t[34] + 8*t[35] + 
       (22*t[36])/3 + (28*t[37])/3 + (2*t[38])/3 + (2*t[39])/3 - 
       (3*t[40])/2 + (3*t[41])/2 - (3*t[42])/2 - (3*t[43])/4 + t[44]/2 - 
       (47*t[45])/6 + (47*t[47])/3 + (95*t[48])/6 - (9*t[49])/2 - 
       (85*t[50])/6 + (25*t[51])/8 + (33*t[52])/2 + (21*t[53])/2 + 
       (31*t[54])/6 + 2*t[58] + (7*t[59])/3 - (290*t[60])/3 - (311*t[61])/6 - 
       (101*t[62])/3 - 53*t[63] + (1115*t[64])/6 + (112*t[65])/9 + 
       (208*t[66])/3 + 2*t[69] + (4*t[70])/3 - (4*t[71])/3 - 4*t[72] + 
       (2*t[74])/3 - 24*t[75] - (26*t[76])/3 - (14*t[77])/3 + 3*t[78] + 
       20*t[79] - (64*t[80])/3 - (44*t[81])/3 + 27*t[82] + t[83] - 23*t[84] - 
       (79*t[85])/2 + (110*t[86])/3 + 64*t[87] + (101*t[88])/3 + t[89] - 
       (4*t[95])/3 + (14*t[96])/3 + (13*t[97])/3 - 16*t[98] + 24*t[99] - 
       40*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*(-t[1] - (3*t[2])/4 - (11*t[3])/12 - (10*t[4])/3 + 
       t[5]/4 - (11*t[6])/8 + (35*t[7])/6 + (10*t[8])/3 - (155*t[9])/12 - 
       (58*t[10])/3 + (851*t[11])/24 + (11*t[12])/2 - (13*t[13])/18 - 
       (11*t[14])/9 + (25*t[15])/4 + 2*t[25] - 2*t[26] - 6*t[28] - 5*t[31] - 
       6*t[35] + 3*t[36] + 2*t[37] - 4*t[39] + 4*t[40] + (5*t[43])/6 + 
       4*t[44] - (3*t[46])/2 + (15*t[48])/8 - (14*t[49])/3 + (53*t[50])/24 + 
       (65*t[51])/24 - (53*t[52])/24 + (14*t[53])/3 + (23*t[54])/24 - 
       (43*t[60])/4 + (119*t[61])/4 - (115*t[62])/12 + (289*t[63])/12 + 
       (211*t[64])/24 + (109*t[65])/18 - (68*t[66])/9 - t[72] + t[73] + 
       t[74] - 7*t[75] - 2*t[76] - (5*t[77])/2 - 6*t[78] - 2*t[79] + 
       2*t[80] - 2*t[81] + 2*t[82] + (7*t[83])/3 + t[84]/12 - (49*t[85])/12 - 
       (19*t[86])/3 + (179*t[87])/12 + (179*t[88])/24 - (215*t[89])/24 - 
       12*t[98] + 16*t[99] - (79*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (-t[1] + (7*t[2])/2 - (5*t[3])/4 + (51*t[4])/2 - (37*t[5])/8 - 
       (47*t[6])/4 - (5*t[7])/4 - (35*t[8])/4 - (49*t[9])/8 - (13*t[10])/2 + 
       10*t[11] + (33*t[12])/8 + (55*t[13])/24 - (137*t[14])/24 - 
       (271*t[15])/144 - 2*t[19] + 2*t[20] + 3*t[21] - 3*t[23] - 4*t[24] + 
       2*t[25] + 2*t[27] - t[29] - 2*t[31] + 2*t[32] - 4*t[35] + t[37] - 
       2*t[38] - 2*t[40] + t[41]/2 - t[42]/2 - t[43]/2 - t[44] + t[45] - 
       (9*t[46])/2 + 2*t[47] - (7*t[48])/4 + (15*t[49])/4 + (31*t[50])/4 + 
       (5*t[51])/2 - (23*t[52])/4 - (15*t[53])/4 - (53*t[54])/4 + 2*t[59] - 
       (43*t[60])/4 + (9*t[61])/4 + (25*t[62])/8 + (31*t[63])/8 + 
       (47*t[64])/8 - (51*t[65])/2 - (11*t[66])/4 - 3*t[69] + 2*t[72] + 
       2*t[73] + t[74] + 2*t[75] - 2*t[79] - 3*t[80] - (11*t[81])/2 + 
       (7*t[82])/2 + (29*t[83])/2 - (19*t[84])/4 - 3*t[85] - 11*t[86] + 
       (29*t[87])/2 + (29*t[88])/4 - (17*t[89])/8 - 12*t[98] + 16*t[99] - 
       (79*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((-15*t[1])/2 - (11*t[2])/6 + (67*t[3])/6 - (1777*t[4])/48 + 
       (313*t[5])/12 - (311*t[6])/8 + 24*t[7] - (223*t[8])/6 - 
       (187*t[9])/12 - (2167*t[10])/32 + (107*t[11])/12 + (645*t[12])/32 + 
       (1903*t[13])/144 - (35195*t[14])/576 + (1031*t[15])/288 + 
       (25*t[25])/3 - (67*t[26])/6 + (8*t[27])/3 - (16*t[28])/3 - 
       (8*t[29])/3 + (11*t[30])/3 + (4*t[31])/3 + (4*t[34])/3 - 4*t[36] + 
       5*t[37] + (3*t[38])/2 - (8*t[39])/3 - t[40]/3 - (2*t[41])/3 + 
       (2*t[42])/3 + (37*t[43])/6 + (26*t[44])/3 - 6*t[45] + (17*t[46])/12 + 
       12*t[47] - (125*t[48])/8 - (557*t[49])/32 + (43*t[50])/8 + 
       (4483*t[51])/192 - (289*t[52])/24 + (325*t[53])/32 + (9*t[54])/16 - 
       (4*t[58])/3 + (29*t[59])/12 - (1571*t[60])/48 - (829*t[61])/16 - 
       (2155*t[62])/96 - (311*t[63])/32 + (14629*t[64])/96 - 
       (3989*t[65])/144 - (77*t[66])/48 + 3*t[69] - 2*t[70] + 3*t[71] - 
       4*t[72] + 2*t[73] + 3*t[74] - 12*t[75] + (28*t[76])/3 + (17*t[77])/6 - 
       (73*t[78])/3 + 12*t[79] + 13*t[80] + (11*t[81])/3 + (35*t[82])/6 + 
       (47*t[83])/2 - (1297*t[84])/48 - (461*t[85])/48 + (245*t[86])/3 + 
       (269*t[87])/16 + (269*t[88])/32 - (4217*t[89])/96 + (4*t[97])/3 + 
       106*t[98] - 118*t[99] - 31*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*((-35*t[1])/12 - t[2]/3 - 
       (473*t[3])/16 - (79*t[4])/3 + (4535*t[5])/96 + (803*t[6])/48 - 
       (97*t[7])/48 + (1853*t[8])/48 - (2327*t[9])/96 + (5407*t[10])/48 + 
       (781*t[11])/48 - (1459*t[12])/96 + (18823*t[13])/864 + 
       (5489*t[14])/96 + (19597*t[15])/576 - t[25] - (10*t[26])/3 + 
       (8*t[27])/3 - (16*t[28])/3 - (8*t[29])/3 + (11*t[30])/3 + 2*t[31] - 
       (8*t[32])/3 + (8*t[33])/3 + (4*t[34])/3 - 4*t[35] + 2*t[38] - 
       (16*t[39])/3 + (16*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 + 
       (181*t[43])/24 + (8*t[44])/3 + (91*t[45])/6 - 2*t[46] - 33*t[47] - 
       (145*t[48])/12 + (191*t[49])/24 - (7*t[50])/4 - (59*t[51])/48 - 
       (59*t[52])/12 - (191*t[53])/24 - (53*t[54])/6 - (4*t[58])/3 - 
       (9*t[59])/4 + (421*t[60])/12 + (1049*t[61])/12 - (1555*t[62])/24 + 
       (683*t[63])/24 - (867*t[64])/8 + (217*t[65])/72 - (2701*t[66])/72 + 
       3*t[69] - 2*t[70] + 3*t[71] + t[73] + t[74] - t[75] + (40*t[76])/3 + 
       (3*t[77])/2 - (34*t[78])/3 - 10*t[79] - (100*t[80])/3 + 3*t[81] + 
       4*t[82] + (7*t[83])/2 - (9*t[84])/4 + (137*t[85])/12 - 19*t[86] - 
       (271*t[87])/12 - (271*t[88])/24 - (97*t[89])/8 + (4*t[97])/3 + 
       106*t[98] - 118*t[99] - 31*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*((-41*t[1])/4 + (53*t[2])/12 - 
       (29*t[3])/6 + (145*t[4])/24 - (1121*t[5])/48 + (93*t[6])/4 - 
       (21*t[7])/2 + (71*t[8])/6 + (1427*t[9])/48 + (47*t[10])/4 - 
       (149*t[11])/24 + (399*t[12])/16 - (59*t[13])/24 + (755*t[14])/72 + 
       (781*t[15])/288 + t[25]/3 + (41*t[26])/6 + (2*t[27])/3 + 
       (14*t[28])/3 - (8*t[29])/3 - t[30]/3 - (5*t[31])/3 + (11*t[34])/6 - 
       2*t[35] - (13*t[36])/2 + (3*t[37])/2 - 10*t[38] + (31*t[39])/12 - 
       (7*t[40])/3 - (11*t[41])/12 + (11*t[42])/12 - (7*t[43])/3 - 
       (13*t[44])/3 + 4*t[45] - t[46]/12 - 8*t[47] + (17*t[48])/8 - 
       (145*t[49])/8 + (37*t[50])/8 + (535*t[51])/48 - (19*t[52])/24 + 
       (89*t[53])/8 + (113*t[54])/8 + (2*t[58])/3 + (47*t[59])/12 + 
       (329*t[60])/6 - (105*t[61])/8 + (299*t[62])/6 - (31*t[63])/4 - 
       (4177*t[64])/48 + (3071*t[65])/72 + (1051*t[66])/24 + t[70] - t[71] + 
       7*t[72] - 4*t[73] + (5*t[74])/2 - 2*t[75] - (317*t[76])/12 + t[77]/3 + 
       (347*t[78])/12 + t[79] - 26*t[80] + (65*t[81])/12 - (83*t[82])/12 - 
       t[83] + (673*t[84])/24 + t[85]/3 - (79*t[86])/3 - (157*t[87])/8 + 
       (27*t[88])/16 + (331*t[89])/24 - 4*t[95] - 16*t[96] - (14*t[97])/3 - 
       212*t[98] + 224*t[99] - (27*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*((17*t[1])/6 + (35*t[2])/12 + 
       (5*t[3])/2 + (283*t[4])/24 + (20*t[5])/3 + (263*t[6])/16 - 
       (655*t[7])/48 + (47*t[8])/16 - (785*t[9])/16 + (1109*t[10])/24 + 
       (13*t[11])/2 - (1261*t[12])/48 - (6293*t[13])/864 - (1559*t[14])/288 + 
       (7087*t[15])/288 - 4*t[18] + 2*t[19] - 4*t[20] - 4*t[21] - t[22]/2 - 
       8*t[23] - (7*t[24])/3 + 2*t[25] + (2*t[26])/3 - (16*t[27])/3 - 
       (16*t[28])/3 + (7*t[29])/3 + (20*t[30])/3 - (4*t[31])/3 - 
       (11*t[32])/3 - t[33]/3 - (53*t[34])/3 - 4*t[35] - t[38]/2 - 
       (7*t[39])/3 + (23*t[40])/6 + (17*t[41])/6 - (5*t[42])/6 + 
       (127*t[43])/16 - t[44]/3 + (245*t[45])/12 + (15*t[46])/4 - 32*t[47] + 
       9*t[48] - (169*t[49])/48 - (4*t[50])/3 + (79*t[51])/96 + 
       (35*t[52])/12 + (169*t[53])/48 + (193*t[54])/24 - t[57] + 
       (2*t[58])/3 + (29*t[59])/4 - (547*t[60])/24 + (71*t[61])/4 - 
       (15*t[62])/8 + (461*t[63])/24 - 14*t[64] - (1115*t[65])/24 + 
       (997*t[66])/24 + t[69] + 3*t[70] - 3*t[71] + t[72] - 5*t[73] + 
       2*t[74] + 5*t[75] - (407*t[76])/12 - (11*t[77])/2 + (281*t[78])/12 + 
       5*t[79] - (215*t[80])/6 - 9*t[81] - (13*t[82])/2 - (11*t[83])/3 + 
       (175*t[84])/24 - (225*t[85])/8 - (211*t[86])/12 + (779*t[87])/24 + 
       (779*t[88])/48 + (33*t[89])/16 - (8*t[97])/3 - 212*t[98] + 224*t[99] - 
       (27*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      ((-7*t[2])/3 - (9*t[3])/2 + (131*t[4])/12 - (215*t[5])/24 - 
       (25*t[6])/24 + (191*t[7])/12 - (209*t[8])/12 + (29*t[9])/24 - 
       (79*t[10])/24 + (219*t[11])/8 + (91*t[12])/12 + (1517*t[13])/108 + 
       (199*t[14])/48 + (127*t[15])/48 - t[18] + (2*t[19])/3 - t[21] + 
       (2*t[23])/3 - (4*t[27])/3 - (16*t[28])/3 + t[29] + (14*t[30])/3 - 
       (4*t[35])/3 - (2*t[37])/3 - (8*t[39])/3 + t[41]/3 - (5*t[42])/6 + 
       (5*t[44])/3 + t[45] + (4*t[47])/3 - (187*t[48])/24 - (11*t[49])/24 + 
       (157*t[50])/24 + (43*t[51])/48 - (157*t[52])/24 + (11*t[53])/24 - 
       (37*t[54])/8 + (5*t[60])/6 + (56*t[61])/3 - (31*t[62])/3 - 
       (64*t[63])/3 + t[64]/12 - (63*t[65])/2 - (835*t[66])/36 + 
       (5*t[69])/3 - t[70]/3 + t[71]/3 + (8*t[72])/3 - (2*t[73])/3 - 
       9*t[75] - t[76] - 4*t[78] + (5*t[79])/3 - (4*t[80])/3 - (4*t[81])/3 - 
       (4*t[82])/3 + (32*t[83])/3 - (55*t[84])/12 - (3*t[85])/4 + 
       (8*t[86])/3 + (9*t[87])/4 + (9*t[88])/8 - (19*t[89])/3 - 
       (14*t[98])/3 + 6*t[99] - (23*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*((-3*t[2])/4 - (13*t[3])/6 + 
       (59*t[4])/12 - (59*t[5])/12 - (7*t[6])/8 - 4*t[7] + 8*t[8] + 
       (15*t[9])/2 + (11*t[10])/8 + (173*t[11])/24 + (69*t[12])/8 + 
       (5*t[13])/2 + (313*t[14])/144 - (71*t[15])/72 + (8*t[27])/3 - 
       (7*t[28])/3 - (8*t[29])/3 - t[30]/3 - t[31] + 2*t[35] - (5*t[36])/3 - 
       t[39]/3 + (4*t[40])/3 - t[43] - 3*t[44] - 2*t[45] + 4*t[47] - 
       (65*t[48])/24 - (49*t[49])/24 - (25*t[50])/24 - (11*t[51])/48 + 
       (25*t[52])/24 + (49*t[53])/24 + (67*t[54])/24 - (67*t[60])/12 + 
       (3*t[61])/4 - (91*t[62])/8 - (19*t[63])/24 + (239*t[64])/24 - 
       (161*t[65])/18 - (70*t[66])/9 - (10*t[72])/3 + t[73]/3 - 
       (43*t[75])/3 - (2*t[76])/3 - 7*t[78] - (5*t[81])/6 - (11*t[82])/6 + 
       20*t[83] - (10*t[84])/3 + (7*t[85])/4 + (83*t[87])/12 + 
       (83*t[88])/24 + (101*t[89])/24 - (14*t[98])/3 + 6*t[99] - 
       (23*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      (-t[1]/4 + (21*t[2])/8 - (7*t[3])/8 - (31*t[4])/4 - (29*t[5])/48 + 
       (167*t[6])/24 + 3*t[7] + (59*t[8])/6 + (13*t[9])/48 + (7*t[10])/8 + 
       (8*t[11])/3 - (5*t[12])/48 + (209*t[13])/48 + (161*t[14])/144 + 
       (281*t[15])/288 + (3*t[21])/2 - (3*t[23])/2 - (5*t[24])/6 + 
       (5*t[31])/3 + 2*t[35] + 2*t[37] + (3*t[41])/4 - (3*t[42])/4 + 
       (25*t[43])/12 - t[45] - (5*t[46])/4 + (7*t[47])/2 + (11*t[48])/24 - 
       (97*t[49])/24 - (83*t[50])/24 + (53*t[51])/24 + (83*t[52])/24 + 
       (97*t[53])/24 + (23*t[54])/8 + t[59]/4 + (27*t[60])/8 + 
       (29*t[61])/24 - (181*t[62])/48 - (205*t[63])/16 + (187*t[64])/16 + 
       (181*t[65])/36 - (725*t[66])/72 - (3*t[69])/2 + (7*t[74])/2 + 
       (7*t[79])/4 + 2*t[80] + (5*t[81])/4 - (5*t[82])/4 - (11*t[83])/12 + 
       (13*t[84])/24 + (7*t[85])/3 + (137*t[86])/12 - (13*t[87])/12 - 
       (13*t[88])/24 + (25*t[89])/16 - (35*t[100])/4)*\[Zeta][3] + 
     HPL[{1}, 1 - w]^4*((2*t[2])/3 - (5*t[3])/6 - (11*t[4])/8 - 
       (59*t[5])/12 - (19*t[6])/6 + (137*t[7])/24 + (97*t[8])/24 + 
       (151*t[9])/24 + (21*t[10])/16 + (5*t[11])/24 + (107*t[12])/48 + 
       (151*t[13])/216 - (269*t[14])/288 - (19*t[15])/9 + (5*t[18])/12 - 
       (4*t[24])/3 - (4*t[31])/3 + t[35]/3 + t[37]/3 + t[41]/24 + t[42]/6 - 
       (2*t[43])/3 - t[45]/4 + (17*t[47])/6 + t[48]/4 - (13*t[49])/48 + 
       (7*t[50])/4 + (13*t[51])/96 - (7*t[52])/4 + (13*t[53])/48 + t[54]/8 - 
       (3*t[60])/4 - (5*t[61])/8 - (81*t[62])/16 - (75*t[63])/16 + 
       (109*t[64])/24 + (305*t[65])/72 - (35*t[66])/72 - (2*t[69])/3 + 
       t[70]/3 - t[71]/4 + (7*t[79])/4 - t[80]/3 + (7*t[83])/6 + 
       (2*t[84])/3 - (2*t[85])/3 + (22*t[86])/3 + t[87]/3 + t[88]/6 + 
       (11*t[89])/12 - (3*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*(-50*t[98] + 46*t[99] - 
       (3*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-21*t[1])/4 - (45*t[2])/4 + (35*t[3])/4 - (3*t[4])/2 + (35*t[5])/24 + 
       (329*t[6])/24 - (151*t[7])/4 + (151*t[8])/12 - (1549*t[9])/24 + 
       (129*t[10])/8 - (1295*t[11])/24 - (95*t[12])/12 - (1189*t[13])/36 - 
       (5425*t[14])/144 + (43*t[15])/48 + t[18] + t[19] - 4*t[20] - 6*t[21] + 
       4*t[22] + 6*t[23] - (7*t[24])/3 + 4*t[25] - (3*t[26])/2 - 2*t[27] - 
       6*t[28] - t[29] - 7*t[30] - (10*t[31])/3 + 3*t[32] - 5*t[33] - 
       (17*t[34])/2 + 4*t[35] + 3*t[36] + 5*t[37] - 2*t[38] - t[39] - 
       t[40]/2 + t[41]/4 - (3*t[42])/4 + (4*t[43])/3 + (21*t[45])/2 - 
       5*t[46] - (23*t[47])/2 + (323*t[48])/24 - (25*t[49])/24 - 
       (113*t[50])/24 + (205*t[51])/48 + (173*t[52])/24 + (25*t[53])/24 + 
       (201*t[54])/8 + t[58]/2 + (5*t[59])/4 - 35*t[60] - (169*t[61])/6 + 
       (53*t[62])/3 + (57*t[63])/2 + (201*t[64])/4 - (425*t[65])/36 + 
       (464*t[66])/9 - 2*t[69] + 3*t[70] - 3*t[71] - 4*t[72] - 3*t[73] - 
       5*t[75] - (19*t[76])/2 - 2*t[77] + (11*t[79])/2 - (37*t[80])/2 - 
       5*t[81] - t[82]/2 - (61*t[83])/6 - (37*t[84])/12 - (35*t[85])/12 - 
       (77*t[86])/6 + (311*t[87])/12 + (311*t[88])/24 + (15*t[89])/4 - 
       t[97]/2 - 50*t[98] + 46*t[99] - (3*t[100])/2)*\[Zeta][3] - 
     (3*HPL[{1}, 1 - u]^4*t[100]*\[Zeta][3])/2 + 
     (7*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*t[100]*\[Zeta][3])/2 - 
     (35*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*t[100]*\[Zeta][3])/4 + 
     2*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*t[100]*\[Zeta][3] + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*(-t[1]/2 - t[3] + (25*t[4])/3 - 
       t[5]/6 + (55*t[6])/12 - (77*t[7])/12 - (39*t[8])/4 - t[9]/3 - 
       (11*t[10])/3 + (31*t[11])/12 - (7*t[12])/12 - (25*t[13])/54 + 
       (41*t[14])/9 + (5*t[15])/4 + (2*t[31])/3 - (4*t[35])/3 - (4*t[37])/3 + 
       (3*t[43])/2 + (5*t[46])/6 - (13*t[48])/12 - (5*t[49])/4 - 
       (5*t[50])/12 + (5*t[52])/12 + (5*t[53])/4 - (11*t[54])/12 + t[59]/6 + 
       (11*t[60])/6 + (9*t[61])/2 + 7*t[62] + (47*t[63])/6 - (73*t[64])/6 - 
       (5*t[65])/2 + (61*t[66])/18 + (5*t[74])/3 - (7*t[79])/2 + 
       (4*t[80])/3 + t[81]/3 - t[82]/3 + (2*t[83])/3 - t[84]/3 + 
       (3*t[85])/2 - (35*t[86])/2 - (5*t[87])/6 - (5*t[88])/12 + 
       (13*t[89])/12 + 2*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*((-35*t[2])/12 - (4*t[3])/3 + (41*t[4])/12 + 
       (149*t[5])/24 - (101*t[6])/24 + (22*t[7])/3 - (61*t[8])/3 - 
       (7*t[9])/8 - (35*t[10])/24 + (145*t[11])/24 - (17*t[12])/12 - 
       (289*t[13])/54 + (27*t[14])/16 + (611*t[15])/144 - (2*t[18])/3 - 
       t[21] + (2*t[23])/3 + 2*t[31] - (4*t[35])/3 - (4*t[37])/3 - t[41]/3 + 
       (11*t[43])/6 + (7*t[45])/3 - (16*t[47])/3 - (79*t[48])/24 + t[49]/8 + 
       (35*t[50])/8 - t[51]/16 - (35*t[52])/8 - t[53]/8 - (55*t[54])/24 + 
       (13*t[60])/2 + t[61] + (65*t[62])/6 + (47*t[63])/6 - (179*t[64])/6 - 
       2*t[65] + (65*t[66])/12 + (5*t[69])/3 - t[70]/3 + t[71]/3 - 
       (7*t[79])/2 - (5*t[80])/3 - 2*t[81] + 2*t[82] + t[83] + t[84]/12 - 
       t[85]/12 - (33*t[86])/2 - (23*t[87])/4 - (23*t[88])/8 - (13*t[89])/3 + 
       (7*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*(3*t[1] + (3*t[2])/2 + (31*t[3])/12 + (41*t[4])/12 - 
       (55*t[5])/24 - (19*t[6])/4 - (101*t[7])/12 - (253*t[8])/12 - 
       (127*t[9])/8 + (35*t[10])/8 + (25*t[11])/3 - (11*t[12])/12 + 
       (257*t[13])/36 - (959*t[14])/48 + (13*t[15])/16 - t[25] - 2*t[26] + 
       (8*t[27])/3 - (16*t[28])/3 - (8*t[29])/3 + (11*t[30])/3 + 4*t[31] - 
       4*t[35] + 2*t[38] - (8*t[39])/3 + t[43] + (8*t[44])/3 - 
       (119*t[48])/12 - (57*t[49])/8 + (49*t[50])/12 + (167*t[51])/48 - 
       (49*t[52])/12 + (57*t[53])/8 - (11*t[54])/2 - 3*t[59] - 
       (187*t[60])/12 - (21*t[61])/4 + (29*t[62])/2 - (95*t[63])/3 + 
       (23*t[64])/24 - (299*t[65])/18 - (323*t[66])/36 + (8*t[72])/3 - 
       t[73] + t[74] - 14*t[75] + t[76] - 10*t[78] - 3*t[79] - (7*t[81])/3 + 
       (5*t[82])/3 + (50*t[83])/3 - (23*t[84])/3 + (29*t[85])/6 - 12*t[86] + 
       (73*t[87])/6 + (73*t[88])/12 - (73*t[89])/24 + 28*t[98] - 36*t[99] + 
       11*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      ((75*t[2])/8 + (9*t[3])/4 + (31*t[4])/2 + (41*t[5])/6 - (79*t[6])/6 + 
       (53*t[7])/4 - (209*t[8])/12 + (203*t[9])/24 + (83*t[10])/4 + 
       (5*t[11])/12 - (121*t[12])/24 + (43*t[13])/12 - (37*t[14])/144 + 
       (691*t[15])/144 - 2*t[19] + t[20]/2 + 2*t[21] + t[22] - 2*t[23] - 
       (7*t[24])/3 + 2*t[27] + 2*t[28] - 2*t[29] + 2*t[30] + (2*t[31])/3 - 
       (3*t[32])/2 + (5*t[33])/2 - 8*t[35] - 2*t[36] + t[37] - t[39]/2 - 
       t[40]/2 - (2*t[43])/3 + t[45] - (3*t[46])/4 - 2*t[47] - 
       (53*t[48])/12 + (79*t[49])/12 + (59*t[50])/12 - (113*t[51])/48 - 
       (47*t[52])/12 - (79*t[53])/12 - (51*t[54])/4 + (3*t[60])/2 - 
       (14*t[61])/3 + (131*t[62])/12 - (73*t[63])/4 - (173*t[64])/4 - 
       (293*t[65])/36 - (22*t[66])/9 - (5*t[69])/2 - (3*t[72])/2 + 
       (5*t[73])/2 + (11*t[75])/2 + t[76] + (3*t[77])/2 + 2*t[78] - t[79]/2 - 
       2*t[80] - t[81]/2 + 2*t[82] + t[83]/12 - (7*t[84])/12 - (13*t[85])/6 - 
       (4*t[86])/3 - (16*t[87])/3 - (8*t[88])/3 - (5*t[89])/2 - 4*t[98] + 
       16*t[99] + 25*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*((11*t[1])/4 - (101*t[2])/6 + (359*t[3])/12 - 
       (2623*t[4])/48 + (511*t[5])/24 - (455*t[6])/12 + (15*t[7])/4 - 
       (451*t[8])/12 - (353*t[9])/8 - (269*t[10])/32 - (943*t[11])/24 + 
       (689*t[12])/96 - (3871*t[13])/144 - (5377*t[14])/64 - 
       (2003*t[15])/96 + t[18] + 2*t[20] - 2*t[21] + 2*t[23] - (4*t[24])/3 - 
       (20*t[25])/3 + (7*t[26])/3 + (5*t[27])/3 - (34*t[28])/3 - 
       (2*t[29])/3 + (8*t[30])/3 - 2*t[31] + 3*t[32] - t[33] - t[34]/6 + 
       4*t[35] + 3*t[36] + 7*t[37] + (11*t[38])/2 - (23*t[39])/3 + 
       (25*t[40])/6 + (7*t[41])/12 - t[42]/12 - (21*t[43])/4 + (8*t[44])/3 + 
       2*t[45] + (25*t[46])/6 + (23*t[47])/2 - (161*t[48])/12 - 
       (1693*t[49])/96 + (59*t[50])/12 + (1481*t[51])/192 - (169*t[52])/12 + 
       (1789*t[53])/96 + (197*t[54])/16 - (5*t[58])/6 - (17*t[59])/6 - 
       (1589*t[60])/48 - (3989*t[61])/48 - (991*t[62])/32 - (201*t[63])/32 + 
       (7675*t[64])/96 + (3221*t[65])/144 + (8675*t[66])/144 + 2*t[69] - 
       5*t[72] - t[73] - 2*t[74] - 19*t[75] + (65*t[76])/6 + t[77]/3 - 
       (79*t[78])/3 + (37*t[79])/2 - (7*t[80])/2 - (22*t[81])/3 + 
       (19*t[82])/3 + (31*t[83])/3 - (935*t[84])/48 + (365*t[85])/48 + 
       (293*t[86])/6 + (245*t[87])/48 + (245*t[88])/96 - (863*t[89])/96 + 
       (5*t[97])/6 + 56*t[98] - 60*t[99] + 50*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*((-17*t[1])/12 - (10*t[2])/3 - 
       (51*t[3])/16 - (127*t[4])/12 + (1973*t[5])/96 - (787*t[6])/48 - 
       (103*t[7])/48 - (817*t[8])/48 - (857*t[9])/96 + (499*t[10])/48 + 
       (559*t[11])/48 - (349*t[12])/96 + (6325*t[13])/864 + (949*t[14])/96 + 
       (1877*t[15])/192 - (4*t[26])/3 + (8*t[27])/3 + (8*t[28])/3 - 
       (8*t[29])/3 - t[30]/3 - (8*t[32])/3 + (8*t[33])/3 + (4*t[34])/3 - 
       (4*t[39])/3 + (13*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 + 
       (97*t[43])/24 - t[44]/3 - t[45]/12 + t[46]/2 - (5*t[47])/2 - 
       (28*t[48])/3 + (43*t[49])/12 - 5*t[50] - (7*t[51])/6 - (5*t[52])/3 - 
       (43*t[53])/12 - (7*t[54])/3 - (4*t[58])/3 + (5*t[59])/4 + 
       (31*t[60])/3 + (83*t[61])/3 - (239*t[62])/12 + (118*t[63])/3 - 
       8*t[64] - (671*t[65])/72 - (1153*t[66])/72 + (28*t[76])/3 + 
       (9*t[77])/2 - (16*t[78])/3 + (26*t[80])/3 + 4*t[81] - 4*t[82] - 
       2*t[84] + (26*t[85])/3 + 6*t[86] - (58*t[87])/3 - (29*t[88])/3 - 
       (27*t[89])/2 + (4*t[97])/3 + 56*t[98] - 60*t[99] + 50*t[100])*
      \[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - u]*((-9*t[2])/2 - (5*t[3])/2 + 
       (15*t[4])/2 - (29*t[5])/2 + (175*t[6])/4 - (63*t[7])/2 + 
       (189*t[8])/2 + 13*t[9] - (7*t[10])/4 + (67*t[11])/4 + (19*t[12])/4 - 
       (479*t[13])/36 + (187*t[14])/8 - (91*t[15])/6 - 30*t[28] - 6*t[31] + 
       12*t[35] - 10*t[36] - 10*t[39] + 4*t[40] - (5*t[43])/2 - 16*t[44] - 
       12*t[45] - 3*t[46] + 24*t[47] + (47*t[48])/4 + (17*t[49])/4 - 
       (81*t[50])/4 - (43*t[51])/8 + (81*t[52])/4 - (17*t[53])/4 + 
       (91*t[54])/4 + 6*t[60] + 70*t[61] - (111*t[62])/2 - (49*t[63])/2 + 
       (11*t[64])/2 + (118*t[65])/3 + 22*t[66] + 14*t[80] + 18*t[86] + 
       10*t[89] - 216*t[98] + 216*t[99] + 90*t[100])*\[Zeta][3] + 
     HPL[{0, 1, 1, 1}, 1 - w]*((-45*t[1])/2 + 36*t[2] - (61*t[3])/2 - 
       121*t[4] - (37*t[5])/2 - (65*t[6])/4 - (13*t[7])/2 + (245*t[8])/2 - 
       (33*t[9])/2 - (351*t[10])/4 - (631*t[11])/4 - (29*t[12])/4 - 
       (6065*t[13])/36 - (2713*t[14])/24 + (469*t[15])/12 - 14*t[18] + 
       6*t[19] - 24*t[20] - 12*t[21] + 18*t[22] + 4*t[23] - 12*t[24] + 
       27*t[26] - 12*t[27] - 24*t[28] - 2*t[29] + 12*t[30] - 12*t[31] + 
       30*t[32] - 42*t[33] - 51*t[34] + 24*t[35] + 12*t[36] + 8*t[37] - 
       24*t[38] + 18*t[39] - 15*t[40] - (19*t[41])/2 + (5*t[42])/2 + 
       9*t[43] - 24*t[44] - 11*t[45] + 34*t[46] + 23*t[47] + (51*t[48])/4 - 
       (207*t[49])/4 + (131*t[50])/4 + (71*t[51])/8 - (95*t[52])/4 + 
       (183*t[53])/4 + (143*t[54])/4 + 12*t[57] + 3*t[58] + (51*t[59])/2 - 
       145*t[60] - 60*t[61] + (25*t[62])/4 - (137*t[63])/4 + 304*t[64] + 
       98*t[65] + (1363*t[66])/6 - 24*t[72] + 4*t[73] + 12*t[74] - 68*t[75] - 
       59*t[76] - 9*t[77] + 38*t[78] + 22*t[79] - t[80] - 17*t[82] + 
       116*t[83] + (11*t[84])/2 - (141*t[85])/2 + 250*t[86] + (303*t[87])/2 + 
       (303*t[88])/4 - (113*t[89])/2 - 3*t[97] - 216*t[98] + 216*t[99] + 
       90*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((3*t[1])/2 + (53*t[2])/2 - (307*t[3])/24 - 
       (343*t[4])/12 - (317*t[5])/16 + t[6]/8 + (341*t[7])/24 + 
       (1181*t[8])/24 + (2407*t[9])/48 + (1495*t[10])/24 + (55*t[11])/3 + 
       (513*t[12])/16 - (361*t[13])/72 - (1415*t[14])/144 - 
       (1853*t[15])/288 + 2*t[18] - 4*t[19] + 4*t[20] + 6*t[21] + 6*t[22] - 
       10*t[23] - 4*t[24] + t[26]/2 + 6*t[27] - 2*t[29] - 2*t[30] - 2*t[31] + 
       7*t[32] - 3*t[33] - 2*t[34] - 2*t[38] + 3*t[39] - 9*t[40] + 5*t[41] - 
       4*t[42] - (97*t[43])/6 + 2*t[44] + (33*t[45])/4 - (15*t[46])/2 + 
       (39*t[47])/2 - (33*t[48])/8 - (119*t[49])/12 + (485*t[50])/24 + 
       (47*t[51])/6 - (77*t[52])/24 + (119*t[53])/12 - (685*t[54])/24 + 
       4*t[57] + t[58]/2 - (13*t[59])/2 - (247*t[60])/4 - 8*t[61] - 
       (253*t[62])/3 + (83*t[63])/6 + (457*t[64])/6 + (620*t[65])/9 + 
       (814*t[66])/9 - 4*t[69] + 4*t[73] - 2*t[74] - 4*t[75] - (17*t[76])/2 - 
       11*t[77] + (3*t[78])/2 + 2*t[79] - 24*t[80] - 6*t[81] + t[82]/2 - 
       (8*t[83])/3 - (125*t[84])/12 + (65*t[85])/12 + (115*t[86])/6 + 
       (467*t[87])/12 + (467*t[88])/24 - (23*t[89])/24 - t[97] - 48*t[98] + 
       48*t[99] + 112*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(16*t[1] - 5*t[2] + (55*t[3])/4 - (455*t[4])/8 + 
       (75*t[5])/4 - (255*t[6])/8 - (63*t[7])/4 - (61*t[8])/4 - 
       (241*t[9])/4 + (347*t[10])/16 - (273*t[11])/8 - (277*t[12])/16 - 
       (229*t[13])/12 - (1491*t[14])/32 - (95*t[15])/144 - 6*t[25] - 
       5*t[26] + 2*t[27] - 10*t[28] - 4*t[31] - t[34] + 7*t[36] - 4*t[37] + 
       12*t[38] - 7*t[39] + 5*t[40] + t[41]/2 - t[42]/2 - 4*t[43] - 2*t[44] - 
       (15*t[46])/2 - (97*t[48])/8 + (21*t[49])/16 + (95*t[50])/8 + 
       (353*t[51])/32 - (103*t[52])/8 + (171*t[53])/16 + (53*t[54])/4 + 
       t[58] - (21*t[59])/2 - (1009*t[60])/8 - (869*t[61])/8 - 
       (1415*t[62])/16 + (423*t[63])/16 + (3391*t[64])/16 - (355*t[65])/8 + 
       (383*t[66])/8 + 2*t[70] - 2*t[71] - 2*t[72] + 6*t[73] - 9*t[74] - 
       10*t[75] - 9*t[76] - 3*t[77] - 12*t[78] + 16*t[79] - 8*t[80] - 
       (41*t[81])/2 + 16*t[82] + 12*t[83] - (457*t[84])/8 - (347*t[85])/8 + 
       46*t[86] + (1071*t[87])/8 + (975*t[88])/16 - (587*t[89])/16 + 
       8*t[95] + 2*t[97] - 48*t[98] + 48*t[99] + 112*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*(-8*t[1] + 6*t[2] - 3*t[3] - 
       56*t[4] - (63*t[5])/2 - 49*t[6] + 99*t[7] + 54*t[8] + 154*t[9] + 
       (71*t[10])/2 + (107*t[11])/2 + (135*t[12])/2 + (1535*t[13])/36 + 
       (89*t[14])/6 - (425*t[15])/9 + 8*t[18] - 4*t[19] + 10*t[21] + 
       12*t[22] - 10*t[23] + 6*t[24] - 8*t[25] - 4*t[26] + 8*t[27] - 
       2*t[29] - 2*t[30] - 2*t[31] + 4*t[32] - 4*t[33] + 26*t[34] + 6*t[38] + 
       4*t[39] - 6*t[40] - 20*t[41] + 12*t[42] - 34*t[43] + 14*t[44] - 
       18*t[45] - t[46] + 90*t[47] - 24*t[48] + (9*t[49])/2 + 11*t[50] - 
       2*t[51] - 17*t[52] - (9*t[53])/2 - 28*t[54] + 8*t[57] - 26*t[59] + 
       51*t[60] + 25*t[61] - (525*t[62])/2 - (247*t[63])/2 + 56*t[64] + 
       (785*t[65])/3 - (505*t[66])/3 - 12*t[70] + 12*t[71] - 4*t[72] + 
       16*t[73] - 12*t[74] - 16*t[75] + 70*t[76] + 4*t[77] - 52*t[78] + 
       8*t[79] + 64*t[80] + 20*t[81] + 2*t[82] + 2*t[83] - 14*t[84] + 
       63*t[85] + 168*t[86] - 61*t[87] - (61*t[88])/2 + 16*t[89] + 4*t[97] + 
       432*t[98] - 456*t[99] + 114*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*(11*t[1] - 7*t[2] + (21*t[3])/2 - 
       87*t[4] + 41*t[5] - (89*t[6])/2 - (17*t[7])/2 - (83*t[8])/2 - 
       (27*t[9])/2 + 23*t[10] - (175*t[11])/2 - 19*t[12] - (1121*t[13])/36 - 
       (367*t[14])/12 + (31*t[15])/9 - 4*t[25] - 18*t[26] - 2*t[28] + 
       10*t[31] - 2*t[34] + 6*t[36] + 8*t[37] + 20*t[38] + 2*t[39] - 
       4*t[40] + t[41] - t[42] + 4*t[43] + 2*t[44] - 8*t[45] + 4*t[46] + 
       16*t[47] - (21*t[48])/2 + (91*t[49])/2 - (27*t[50])/2 - (45*t[51])/4 + 
       (15*t[52])/2 - (21*t[53])/2 + (81*t[54])/2 - 2*t[58] - 7*t[59] - 
       164*t[60] - 147*t[61] + 34*t[62] + 102*t[63] + (239*t[64])/2 + 
       (5*t[65])/6 + (55*t[66])/6 + 2*t[69] - 4*t[70] + 4*t[71] - 24*t[72] + 
       16*t[73] - 6*t[74] - 8*t[75] + 64*t[76] + 10*t[77] - 46*t[78] + 
       4*t[79] + 28*t[80] + 9*t[81] - t[82] - 21*t[83] - (185*t[84])/2 - 
       26*t[85] + 12*t[86] + 18*t[87] - 19*t[88] - (89*t[89])/2 + 24*t[95] + 
       20*t[96] + 6*t[97] + 432*t[98] - 456*t[99] + 114*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*(-100*t[98] + 92*t[99] + 
       133*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (14*t[1] - (65*t[2])/2 + 65*t[3] - (43*t[4])/2 + (139*t[5])/4 - 
       (113*t[6])/4 - 95*t[7] + 3*t[8] - (581*t[9])/4 + (121*t[10])/4 - 
       (323*t[11])/4 - 55*t[12] - (544*t[13])/9 - (1333*t[14])/8 - 
       (2159*t[15])/72 - 4*t[19] - 16*t[20] - 10*t[21] + 12*t[22] + 
       10*t[23] - 6*t[24] + 4*t[25] - 14*t[26] + 2*t[27] - 16*t[28] + 
       12*t[29] + 2*t[30] - 18*t[31] - 4*t[32] - 4*t[33] - 26*t[34] + 
       12*t[35] + 8*t[36] + 12*t[37] + 12*t[38] - 12*t[39] + 14*t[40] - 
       (11*t[43])/2 - 6*t[44] + 27*t[45] - 9*t[46] - 10*t[47] + 
       (149*t[48])/4 + (23*t[49])/4 - (55*t[50])/4 + (55*t[51])/8 + 
       (15*t[52])/4 - (23*t[53])/4 + (69*t[54])/4 + 4*t[57] + 2*t[58] - 
       5*t[59] - 122*t[60] - 169*t[61] + (29*t[62])/2 + (109*t[63])/2 + 
       201*t[64] + (88*t[65])/3 + (799*t[66])/6 + 2*t[69] - 20*t[72] - 
       2*t[73] - 6*t[75] - 16*t[76] - 4*t[77] - 2*t[78] + 10*t[79] - 
       34*t[80] - 22*t[81] + 6*t[82] - 29*t[83] - (31*t[84])/2 - 
       (77*t[85])/2 + 10*t[86] + (163*t[87])/2 + (163*t[88])/4 + 
       (113*t[89])/2 - 2*t[97] - 100*t[98] + 92*t[99] + 133*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-31*t[1])/2 + 2*t[2] - (163*t[3])/4 - (465*t[5])/8 + (247*t[6])/8 - 
       (513*t[7])/4 + (245*t[8])/4 - (657*t[9])/8 + (239*t[10])/2 - 
       (1791*t[11])/8 - (579*t[12])/8 - (8491*t[13])/72 - (1267*t[14])/48 - 
       (107*t[15])/144 - 8*t[18] - 4*t[19] - 4*t[20] - 12*t[21] + 6*t[22] + 
       12*t[23] - 8*t[24] + 16*t[25] - 14*t[26] - 2*t[27] + 4*t[28] + 
       8*t[29] + 2*t[30] - 16*t[31] + 27*t[32] - 14*t[34] - 8*t[35] - 
       6*t[36] + 3*t[37] - 6*t[38] + (3*t[39])/2 - 2*t[40] - 9*t[41] + 
       5*t[42] + (27*t[43])/2 - 8*t[44] + 35*t[45] + 9*t[46] - 62*t[47] + 
       (203*t[48])/8 - 32*t[49] - (173*t[50])/8 - (3*t[51])/16 + 
       (157*t[52])/8 + (27*t[53])/2 + (721*t[54])/8 - 2*t[58] - 
       (13*t[59])/2 - (209*t[60])/4 - 267*t[61] + 143*t[62] + 125*t[63] - 
       (31*t[64])/2 + (443*t[65])/12 + (1371*t[66])/4 + 4*t[69] + 16*t[70] - 
       16*t[71] + 12*t[72] + 4*t[73] + 10*t[74] + 12*t[75] - (55*t[76])/2 + 
       6*t[77] + (71*t[78])/2 + 4*t[79] - 18*t[80] - 21*t[81] + 
       (21*t[82])/2 - 32*t[83] + (79*t[84])/4 + (17*t[85])/4 - 38*t[86] + 
       (67*t[87])/4 + (267*t[88])/8 + (255*t[89])/8 - 16*t[96] - 8*t[97] - 
       104*t[98] + 32*t[99] + 256*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*(5*t[1] - t[2] + (175*t[3])/4 - 
       23*t[4] + (95*t[5])/4 - (267*t[6])/8 - (127*t[7])/8 - (1765*t[8])/8 - 
       (367*t[9])/8 + 68*t[10] - (751*t[11])/8 - (355*t[12])/8 - 
       (259*t[13])/24 - (2855*t[14])/48 - (6497*t[15])/144 - 4*t[19] + 
       10*t[20] + 4*t[21] - 5*t[22] - 8*t[23] + 8*t[24] + 8*t[25] - 
       (19*t[26])/2 + 40*t[28] - 2*t[29] + 10*t[30] + 20*t[31] + 17*t[33] + 
       t[34] - 16*t[35] + 8*t[36] + 12*t[37] + 5*t[38] + 3*t[39] - 2*t[40] + 
       14*t[41] - 14*t[42] + (103*t[43])/8 + 7*t[44] + (81*t[45])/4 - 
       14*t[46] - (79*t[47])/2 - (139*t[48])/8 + (123*t[49])/8 - 
       (131*t[50])/8 + (129*t[51])/16 + (63*t[52])/8 - (115*t[53])/8 + 
       (153*t[54])/8 - 2*t[57] - (3*t[58])/2 + 6*t[59] + 95*t[60] - 
       (193*t[61])/2 + (197*t[62])/4 + (427*t[63])/4 - (383*t[64])/4 - 
       (67*t[65])/6 - (17*t[66])/6 + 2*t[69] + 4*t[72] + 4*t[73] - 2*t[74] + 
       52*t[75] - t[76] + 14*t[77] + 23*t[78] - 4*t[79] + 9*t[81] - 3*t[82] - 
       81*t[83] + (49*t[84])/2 + 37*t[85] - 63*t[86] - 102*t[87] - 51*t[88] + 
       25*t[89] - 6*t[97] - 104*t[98] + 32*t[99] + 256*t[100])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((-2*t[1])/3 + (19*t[2])/3 + 
       (235*t[3])/24 + (593*t[4])/24 + (2237*t[5])/48 - (827*t[6])/24 + 
       (1399*t[7])/24 - (265*t[8])/8 + (3331*t[9])/48 + (811*t[10])/48 + 
       (1319*t[11])/8 + (227*t[12])/6 + (29111*t[13])/432 + 
       (16697*t[14])/288 + (9853*t[15])/288 + 4*t[18] - 2*t[19] - 4*t[20] + 
       2*t[21] - 4*t[22] - 2*t[23] - 2*t[24] - (26*t[25])/3 + 16*t[26] + 
       (16*t[27])/3 - (32*t[28])/3 - (22*t[29])/3 + (37*t[30])/3 - 
       (14*t[31])/3 - (97*t[32])/6 + (8*t[33])/3 + (29*t[34])/3 - 8*t[35] - 
       8*t[36] + 2*t[37] - 10*t[38] - 6*t[39] + (13*t[40])/2 - (17*t[41])/6 + 
       (29*t[42])/6 - (5*t[43])/3 + t[44]/3 - (29*t[45])/6 + (26*t[46])/3 - 
       8*t[47] - (233*t[48])/6 + (43*t[49])/48 + (41*t[50])/2 + 
       (325*t[51])/96 - (185*t[52])/6 + (197*t[53])/48 - (1421*t[54])/24 - 
       4*t[57] + t[58]/3 + (25*t[59])/6 + (331*t[60])/24 + (343*t[61])/24 - 
       (1909*t[62])/48 + (325*t[63])/48 - (2341*t[64])/48 - (321*t[65])/8 - 
       (10495*t[66])/72 + 2*t[69] - 14*t[70] + 14*t[71] - 4*t[72] - 2*t[73] - 
       6*t[74] + 6*t[75] + (128*t[76])/3 - (14*t[77])/3 - (164*t[78])/3 + 
       20*t[79] - t[80]/3 + (65*t[81])/3 + (35*t[82])/6 + 14*t[83] - 
       (827*t[84])/24 + (63*t[85])/8 + (23*t[86])/3 - (2039*t[87])/24 - 
       (3623*t[88])/48 - (1807*t[89])/48 + 8*t[96] + (5*t[97])/3 + 
       208*t[98] - 168*t[99] - 72*t[100] + 24*t[101])*\[Zeta][3] + 
     HPL[{0, 0, 1, 1}, 1 - w]*(-23*t[1] - (9*t[2])/2 + (10*t[3])/3 + 
       (917*t[4])/6 - (617*t[5])/12 - (545*t[6])/12 - (541*t[7])/6 - 
       (281*t[8])/2 - (9*t[9])/4 + (1213*t[10])/12 - (995*t[11])/12 - 
       (259*t[12])/3 - (2009*t[13])/54 - (1667*t[14])/72 + (1481*t[15])/72 - 
       4*t[19] - 4*t[20] + (40*t[25])/3 - (20*t[26])/3 - 6*t[27] + 16*t[28] + 
       10*t[29] + 18*t[30] - t[32] + 6*t[33] + 20*t[34] - 16*t[35] - 
       (56*t[36])/3 - (26*t[37])/3 - (58*t[38])/3 - (34*t[39])/3 + 9*t[40] - 
       6*t[41] + 6*t[42] + (11*t[43])/2 - 5*t[44] + (65*t[45])/3 + t[46] - 
       (130*t[47])/3 - (473*t[48])/12 - t[49]/4 + (379*t[50])/12 - 
       (123*t[51])/8 - (193*t[52])/4 - (231*t[53])/4 - (601*t[54])/12 - 
       4*t[57] - 4*t[58] + (19*t[59])/3 + (526*t[60])/3 - (97*t[61])/3 + 
       (649*t[62])/3 + 260*t[63] - (2749*t[64])/6 + (1811*t[65])/18 + 
       (1619*t[66])/6 - 2*t[69] + (16*t[70])/3 - (16*t[71])/3 + 
       (14*t[74])/3 + 40*t[75] - (98*t[76])/3 + (10*t[77])/3 + 60*t[78] - 
       28*t[79] + (56*t[80])/3 + (37*t[81])/3 - 5*t[82] - 33*t[83] + 
       (123*t[84])/2 + 89*t[85] - (340*t[86])/3 - 118*t[87] - (94*t[88])/3 - 
       t[89] - (40*t[95])/3 - (124*t[96])/3 - (32*t[97])/3 - 208*t[98] + 
       192*t[99] + 152*t[100] + 24*t[101])*\[Zeta][3] + 
     HPL[{0, 0, 1, 1}, 1 - u]*((-7*t[1])/3 - (25*t[2])/6 + (407*t[3])/3 + 
       (49*t[4])/2 + (1837*t[5])/12 - (1475*t[6])/12 - (1133*t[7])/6 - 
       (485*t[8])/2 - (1549*t[9])/4 + (707*t[10])/12 - (1817*t[11])/12 - 
       (553*t[12])/3 - (3143*t[13])/36 - (1939*t[14])/8 - (325*t[15])/24 - 
       (16*t[18])/3 - 4*t[19] + 8*t[20] - (4*t[21])/3 - 10*t[22] - 4*t[23] + 
       (8*t[24])/3 + (16*t[25])/3 - (38*t[26])/3 + (8*t[27])/3 + 28*t[28] - 
       2*t[29] + 6*t[30] + 4*t[31] - (53*t[32])/3 + 30*t[33] - (76*t[34])/3 - 
       20*t[35] + 14*t[36] + 16*t[37] + 6*t[38] - 18*t[39] + (95*t[40])/3 - 
       (19*t[41])/3 + (11*t[42])/3 + (64*t[43])/3 + (37*t[44])/3 + 55*t[45] - 
       14*t[46] - (344*t[47])/3 + (143*t[48])/12 + (275*t[49])/12 - 
       (649*t[50])/12 + (93*t[51])/8 + (121*t[52])/12 - (287*t[53])/12 - 
       (73*t[54])/12 - 2*t[58] + (5*t[59])/3 - 86*t[60] - (482*t[61])/3 + 
       (541*t[62])/6 - (205*t[63])/6 - 32*t[64] - 94*t[65] + (1948*t[66])/9 + 
       (32*t[70])/3 - (32*t[71])/3 + (40*t[74])/3 - (110*t[76])/3 - 
       (14*t[77])/3 + (62*t[78])/3 - (52*t[80])/3 - (64*t[81])/3 + 
       (2*t[82])/3 - (80*t[84])/3 - 34*t[85] + (26*t[86])/3 + (238*t[87])/3 + 
       (119*t[88])/3 - (205*t[89])/6 + 2*t[97] - 208*t[98] + 192*t[99] + 
       152*t[100] + 24*t[101])*\[Zeta][3] + HPL[{0, 1}, 1 - u]*
      (-6*t[1] + 3*t[2] + (243*t[3])/4 + (21*t[4])/2 - 34*t[5] - 29*t[6] - 
       (119*t[7])/2 - (15*t[8])/2 + 71*t[9] + (89*t[10])/2 - (137*t[11])/2 + 
       (53*t[12])/2 - (463*t[13])/12 + (545*t[14])/24 - (1685*t[15])/24 + 
       4*t[16] + t[17] - 40*t[20] - 10*t[24] + 18*t[25] - 14*t[26] - 
       2*t[27] + 48*t[28] + 19*t[29] - 2*t[30] - 8*t[31] - 9*t[32] - 
       10*t[33] + 2*t[34] - 16*t[35] + 16*t[36] + 4*t[37] - 4*t[38] + 
       18*t[39] - 18*t[40] - 2*t[41] + 2*t[42] - 6*t[43] - (15*t[44])/2 - 
       2*t[45] + 2*t[46] + 4*t[47] + (85*t[48])/2 - 34*t[49] - 
       (127*t[50])/2 + (113*t[51])/8 + (85*t[52])/2 + 7*t[53] + 
       (27*t[54])/2 + 2*t[55] - 12*t[59] + 10*t[60] - 57*t[61] - t[62] - 
       77*t[63] - (49*t[64])/2 + 12*t[65] + (86*t[66])/3 - 2*t[67] - 
       2*t[68] - 4*t[74] - 2*t[77] - 8*t[80] - 4*t[82] + 2*t[84] - 8*t[85] - 
       4*t[86] + 4*t[87] + 2*t[88] + (27*t[89])/2 + 2*t[90] + 4*t[94])*
      \[Zeta][2]*\[Zeta][3] + HPL[{0, 1}, 1 - w]*(7*t[1] + 4*t[2] - 
       (97*t[3])/4 + 165*t[4] - 76*t[5] + (501*t[6])/4 - (207*t[7])/4 - 
       (295*t[8])/4 + (707*t[9])/4 - (139*t[10])/4 + (27*t[11])/2 - 
       64*t[12] + (2165*t[13])/24 + (2027*t[14])/12 - (124*t[15])/3 + t[17] - 
       4*t[18] - 8*t[20] - 4*t[21] - 16*t[22] + 4*t[23] - 24*t[24] + 
       2*t[25] - 18*t[26] + 6*t[27] + 72*t[28] + 19*t[29] - 2*t[30] + 
       32*t[31] - 9*t[32] - 20*t[33] - 2*t[34] - 16*t[35] + 4*t[36] + 
       8*t[38] + 38*t[39] - 20*t[40] - 3*t[41] + t[42] + (43*t[43])/4 - 
       (15*t[44])/2 - (3*t[45])/2 - 26*t[46] - 5*t[47] + (55*t[48])/2 + 
       (73*t[49])/2 - (121*t[50])/2 - (29*t[51])/4 + (93*t[52])/2 - 
       (45*t[53])/2 + 18*t[54] - 2*t[56] + 8*t[57] - 6*t[59] + 483*t[60] + 
       (247*t[61])/2 + (1091*t[62])/4 + (399*t[63])/4 - (2149*t[64])/4 - 
       (419*t[65])/2 - (1751*t[66])/6 + 6*t[67] - 8*t[68] + 4*t[70] - 
       4*t[71] + 24*t[72] - 8*t[73] + 8*t[74] + 112*t[75] - 8*t[76] + 
       16*t[77] + 106*t[78] - 104*t[79] + 4*t[80] + 36*t[81] - 64*t[82] - 
       196*t[83] + (193*t[84])/2 + (251*t[85])/2 - 386*t[86] - 
       (609*t[87])/2 - (613*t[88])/4 + 89*t[89] + 2*t[90] + 2*t[92] + 
       4*t[93] - 4*t[94] + 8*t[95] + 4*t[96] - 6*t[97])*\[Zeta][2]*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*(-3*t[1] + 4*t[2] + 
       (255*t[3])/4 + t[4]/2 - (21*t[5])/2 - 17*t[6] - (107*t[7])/2 - 
       (99*t[8])/2 + (113*t[9])/2 + (33*t[10])/2 - (163*t[11])/2 + 3*t[12] - 
       (1363*t[13])/36 + (155*t[14])/8 - (1411*t[15])/24 + 4*t[16] + t[17] - 
       40*t[20] - 14*t[24] + 14*t[25] - 10*t[26] + 2*t[27] + 48*t[28] + 
       19*t[29] - 2*t[30] - 8*t[31] - 13*t[32] - 14*t[33] + 2*t[34] - 
       16*t[35] + 16*t[36] + 4*t[37] - 4*t[38] + 22*t[39] - 14*t[40] - 
       3*t[41] + 3*t[42] - (15*t[44])/2 - 4*t[45] + 2*t[46] + 8*t[47] + 
       (73*t[48])/2 - 37*t[49] - (131*t[50])/2 + (101*t[51])/8 + 
       (71*t[52])/2 + 10*t[53] + (43*t[54])/2 + 2*t[55] + 3*t[59] + 
       114*t[60] - (393*t[61])/2 - (69*t[62])/4 + (575*t[63])/4 + 
       (161*t[64])/4 + (227*t[65])/2 + (29*t[66])/6 - 4*t[70] + 4*t[71] + 
       24*t[72] + 8*t[73] - 4*t[74] + 112*t[75] + 54*t[78] - 4*t[80] + 
       26*t[81] - 10*t[82] - 196*t[83] - (5*t[84])/2 - (9*t[85])/2 - 
       (133*t[87])/2 - (173*t[88])/4 + 29*t[89] + 4*t[93] - 8*t[95] - 
       2*t[97] - 64*t[100])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*(-12*t[98] + 12*t[99] - 50*t[100])*\[Zeta][2]*
      \[Zeta][3] + HPL[{1}, 1 - w]^2*(-4*t[1] - 2*t[2] - (85*t[3])/2 + 
       69*t[4] - 6*t[5] + (623*t[6])/8 - (37*t[7])/8 + (11*t[8])/8 + 
       (243*t[9])/8 - (85*t[10])/8 + 48*t[11] - (31*t[12])/2 + 
       (5549*t[13])/144 + (1093*t[14])/12 + (1021*t[15])/48 + 2*t[16] - 
       t[17] - 2*t[18] + 16*t[20] - 2*t[21] - 8*t[22] + 2*t[23] - 7*t[24] + 
       t[25] + t[26] - 3*t[27] + 12*t[28] + 16*t[31] - 7*t[33] + 6*t[34] + 
       4*t[36] - 3*t[38] + 7*t[39] - 4*t[41] + 3*t[42] + (35*t[43])/8 + 
       (13*t[45])/4 - 5*t[46] - (69*t[47])/2 - (27*t[48])/4 + 9*t[49] - 
       (11*t[50])/4 - (9*t[51])/4 + (19*t[52])/4 - 9*t[53] - (13*t[54])/4 - 
       t[56] + 4*t[57] + (5*t[59])/2 + 83*t[60] + (441*t[61])/4 + 
       (313*t[62])/8 + (117*t[63])/8 - (1033*t[64])/8 - (419*t[65])/12 - 
       (641*t[66])/12 - 3*t[68] + 2*t[70] - 2*t[71] + 20*t[72] - 2*t[74] - 
       2*t[76] + t[78] - 24*t[79] - 4*t[80] + 6*t[81] - 8*t[82] - 10*t[83] + 
       19*t[84] + (45*t[85])/2 - (169*t[86])/2 - (91*t[87])/2 - 
       (91*t[88])/4 + (9*t[89])/2 + t[90] - t[92]/2 + 2*t[93] - 12*t[98] + 
       12*t[99] - 50*t[100])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*(24*t[98] - 24*t[99] + 100*t[100])*
      \[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (20*t[1] + 6*t[2] + 71*t[3] - 167*t[4] + (139*t[5])/2 - (511*t[6])/4 + 
       (93*t[7])/4 + (49*t[8])/4 - (369*t[9])/4 + (135*t[10])/4 - 110*t[11] + 
       15*t[12] - (3485*t[13])/72 - (1985*t[14])/12 - (81*t[15])/8 - 
       4*t[16] + 4*t[18] - 32*t[20] + 4*t[21] + 16*t[22] - 4*t[23] + 
       10*t[24] - 6*t[25] + 2*t[26] + 10*t[27] - 24*t[28] - 32*t[31] + 
       6*t[33] + 4*t[34] - 8*t[36] + 10*t[38] - 6*t[39] + 2*t[42] - 
       (43*t[43])/4 - (13*t[45])/2 + 8*t[46] + 21*t[47] + (15*t[48])/2 - 
       (39*t[49])/2 + (15*t[50])/2 + (23*t[51])/4 - (55*t[52])/2 + 
       (39*t[53])/2 + (15*t[54])/2 + 2*t[56] - 8*t[57] + t[59] - 158*t[60] - 
       (343*t[61])/2 - (281*t[62])/4 - (461*t[63])/4 + (907*t[64])/4 + 
       (395*t[65])/6 + (203*t[66])/2 - 2*t[67] + 4*t[68] - 4*t[70] + 
       4*t[71] - 40*t[72] + 4*t[76] - 2*t[78] + 48*t[79] + 8*t[80] - 
       12*t[81] + 16*t[82] + 20*t[83] - 44*t[84] - 49*t[85] + 169*t[86] + 
       99*t[87] + (99*t[88])/2 - (55*t[89])/2 + t[92] - 4*t[93] + 24*t[98] - 
       24*t[99] + 100*t[100])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - w]*(2*t[1] - (45*t[2])/2 + 9*t[3] - 35*t[4] + 
       (119*t[5])/4 + (15*t[6])/4 + 43*t[7] - 24*t[8] + (43*t[9])/4 + 
       (21*t[10])/2 - (27*t[11])/4 - (149*t[12])/4 - (163*t[13])/6 + t[14] + 
       (653*t[15])/24 - 2*t[16] + t[17] + 2*t[25] - 10*t[26] - 4*t[32] + 
       10*t[33] - 20*t[34] - 4*t[36] + 4*t[38] - 10*t[39] + 4*t[40] + 
       2*t[41] - 2*t[42] + 2*t[43] + 4*t[44] + 36*t[45] - 7*t[46] - 
       56*t[47] + (55*t[48])/4 + (19*t[49])/2 + (87*t[50])/4 + 8*t[51] - 
       (7*t[52])/4 + (21*t[53])/2 - (131*t[54])/4 - 2*t[55] - 4*t[59] - 
       (21*t[60])/2 + 61*t[61] + (243*t[62])/4 + (193*t[63])/4 - 
       (193*t[64])/2 + (134*t[65])/3 + (176*t[66])/3 + 2*t[67] + 2*t[68] + 
       4*t[74] + 32*t[76] + 48*t[78] - 7*t[81] - t[82] + 28*t[84] - 
       (15*t[85])/2 - (49*t[87])/2 - (49*t[88])/4 - (51*t[89])/2 - 2*t[90])*
      \[Zeta][3]^2 + HPL[{0, 1}, 1 - u]*((57*t[1])/2 + (123*t[2])/4 - 
       (349*t[3])/8 + (325*t[4])/2 + (487*t[5])/4 - (277*t[6])/8 + 
       (303*t[7])/4 - (557*t[8])/4 - (337*t[9])/2 - (181*t[10])/8 + 
       (2563*t[11])/8 - (695*t[12])/8 + (14315*t[13])/72 - (673*t[14])/8 + 
       (16291*t[15])/144 - 2*t[16] - t[17]/2 - 8*t[19] + 16*t[20] + 2*t[24] + 
       2*t[25] - t[26] - 2*t[27] - 124*t[28] - (89*t[29])/2 + 47*t[30] - 
       20*t[31] - (11*t[32])/2 - 5*t[33] + t[34] - 3*t[36] - 9*t[38] - 
       58*t[39] + 54*t[40] - t[41]/2 + t[42]/2 + (91*t[43])/2 + 
       (181*t[44])/4 - t[45] - 2*t[46] + t[47] - (1123*t[48])/8 + 
       (115*t[49])/8 + (973*t[50])/8 + (39*t[51])/8 - (1009*t[52])/8 - 
       (31*t[53])/8 - (1107*t[54])/8 - t[55] + 25*t[59] + 107*t[60] + 
       (449*t[61])/2 - 91*t[62] - 64*t[63] - (233*t[64])/4 + (70*t[65])/3 - 
       (143*t[66])/3 + t[67] + t[68] + 8*t[71] + 2*t[74] - t[77] + 3*t[84] - 
       2*t[85] - 4*t[87] - 2*t[88] + (225*t[89])/4 - t[90] - 2*t[94])*
      \[Zeta][5] + HPL[{0, 1}, 1 - w]*(-58*t[1] + (47*t[2])/4 + 
       (743*t[3])/8 - (427*t[4])/2 + (801*t[5])/8 - 302*t[6] + (273*t[7])/8 - 
       (1443*t[8])/8 - (505*t[9])/2 + (677*t[10])/8 - (1065*t[11])/8 + 
       (999*t[12])/8 - (11335*t[13])/48 - (1378*t[14])/3 + (8449*t[15])/144 - 
       t[17]/2 - 10*t[18] - 16*t[20] - 2*t[21] + 16*t[22] - 6*t[23] + t[25] + 
       60*t[26] - 5*t[27] - 128*t[28] - (89*t[29])/2 + 47*t[30] - 108*t[31] - 
       (11*t[32])/2 - t[33] - t[34] + t[37] - 57*t[38] - 64*t[39] + 
       46*t[40] + (5*t[41])/2 - (15*t[42])/2 - (149*t[43])/8 + 
       (177*t[44])/4 + t[45]/4 + (113*t[46])/2 - (11*t[47])/2 - 
       (807*t[48])/8 - (273*t[49])/4 + (1345*t[50])/8 + (71*t[51])/2 - 
       (1257*t[52])/8 + (133*t[53])/4 - (635*t[54])/8 + t[56] + 43*t[59] - 
       (3705*t[60])/4 - (977*t[61])/2 - (155*t[62])/4 + (543*t[63])/2 + 
       767*t[64] + (2783*t[65])/12 + (11369*t[66])/12 - 3*t[67] + 4*t[68] + 
       16*t[69] + 2*t[70] + 6*t[71] - 24*t[72] - 120*t[73] - 7*t[74] - 
       80*t[75] - 120*t[76] - 47*t[77] - 82*t[78] + 252*t[79] - 6*t[80] - 
       (129*t[81])/2 + (251*t[82])/2 + 330*t[83] - (647*t[84])/4 - 
       194*t[85] + 501*t[86] + (1161*t[87])/2 + (1063*t[88])/4 - 
       (1601*t[89])/8 - t[90] - t[92] - 2*t[93] + 2*t[94] + 2*t[95] + 
       2*t[96] - 3*t[97])*\[Zeta][5] + HPL[{1}, 1 - u]^2*
      (-6*t[98] + 9*t[99] - 11*t[100])*\[Zeta][5] + 
     HPL[{1}, 1 - w]^2*((-7*t[1])/4 - (27*t[2])/4 + (125*t[3])/4 - 
       (675*t[4])/8 - (273*t[5])/8 - (889*t[6])/8 + (127*t[7])/16 - 
       (237*t[8])/16 + (105*t[9])/16 + (815*t[10])/8 - (1275*t[11])/16 + 
       (1139*t[12])/16 - (5249*t[13])/96 - (10915*t[14])/96 - 
       (2815*t[15])/96 - t[16] + t[17]/2 - 5*t[18] - 16*t[20] - t[21] + 
       8*t[22] + t[23] - t[24] + (3*t[25])/2 - t[26] - t[27]/2 - 2*t[28] - 
       46*t[31] + 4*t[32] + 3*t[33] - 9*t[34] - 2*t[36] - t[38] - 3*t[39] + 
       (45*t[41])/4 - (55*t[42])/4 - (153*t[43])/16 - t[44]/2 + 
       (249*t[45])/8 - t[46]/4 + (63*t[47])/4 + (313*t[48])/16 - 
       (307*t[49])/16 + (273*t[50])/16 + (317*t[51])/32 - (257*t[52])/16 + 
       (307*t[53])/16 + (381*t[54])/16 + t[56]/2 + (19*t[59])/4 - 
       (783*t[60])/8 - (555*t[61])/4 - (709*t[62])/8 - (13*t[63])/4 + 
       (1327*t[64])/8 + (1699*t[65])/24 + (1849*t[66])/24 + (3*t[68])/2 + 
       8*t[69] + t[70] + 3*t[71] - 8*t[72] - t[74]/2 - t[76] - 2*t[77] + 
       t[78] + 62*t[79] - 2*t[80] - (5*t[81])/4 + (3*t[82])/4 + 3*t[83] - 
       (17*t[84])/2 - (385*t[85])/8 + (487*t[86])/4 + (497*t[87])/8 + 
       (497*t[88])/16 + (61*t[89])/16 - t[90]/2 + t[92]/4 - t[93] - 6*t[98] + 
       9*t[99] - 11*t[100])*\[Zeta][5] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      (-t[1] + (121*t[2])/4 - (233*t[3])/8 + (317*t[4])/2 + 47*t[5] - 
       (725*t[6])/8 + (303*t[7])/4 - (605*t[8])/4 - (389*t[9])/4 + 
       (147*t[10])/8 + (2287*t[11])/8 + (431*t[12])/8 + (14549*t[13])/72 - 
       (817*t[14])/8 + (10453*t[15])/144 - 2*t[16] - t[17]/2 - 8*t[19] + 
       16*t[20] - 8*t[23] + 2*t[24] + 2*t[25] - t[26] - 2*t[27] - 124*t[28] - 
       (89*t[29])/2 + 47*t[30] - 20*t[31] - (15*t[32])/2 - 5*t[33] + t[34] - 
       3*t[36] - 9*t[38] - 58*t[39] + 48*t[40] - t[41] + t[42] + t[43]/2 + 
       (181*t[44])/4 - t[45] - 2*t[46] + t[47] - (1139*t[48])/8 + 
       (119*t[49])/8 + (957*t[50])/8 + (29*t[51])/8 - (933*t[52])/8 - 
       (35*t[53])/8 - (1083*t[54])/8 - t[55] + (33*t[59])/2 - 
       (1059*t[60])/4 + 287*t[61] + (99*t[62])/4 - 377*t[63] + 
       (129*t[64])/2 - (1933*t[65])/4 - (2819*t[66])/12 - 16*t[69] - 
       2*t[70] + 2*t[71] - 24*t[72] + 120*t[73] - t[74] - 80*t[75] + 
       58*t[76] - 40*t[78] - 2*t[80] - (111*t[81])/2 - (3*t[82])/2 + 
       330*t[83] - (389*t[84])/4 - 18*t[85] + (507*t[87])/2 + (439*t[88])/4 - 
       (791*t[89])/8 - 2*t[93] - 2*t[95] - t[97] + 8*t[100])*\[Zeta][5] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*(12*t[98] - 18*t[99] + 22*t[100])*
      \[Zeta][5] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((-27*t[1])/2 + (49*t[2])/2 - (89*t[3])/2 + (929*t[4])/4 - 
       (133*t[5])/2 + (597*t[6])/4 - (287*t[7])/8 - (671*t[8])/8 + 
       (837*t[9])/8 - 218*t[10] + (1307*t[11])/8 - (435*t[12])/8 + 
       (475*t[13])/16 + (3507*t[14])/16 - (1355*t[15])/48 + 2*t[16] + 
       10*t[18] + 32*t[20] + 2*t[21] - 16*t[22] - 10*t[23] + 2*t[24] - 
       3*t[25] + 2*t[26] + t[27] + 4*t[28] + 92*t[31] - 4*t[33] + 2*t[34] + 
       4*t[36] + 4*t[38] + 4*t[39] - 8*t[40] + (9*t[41])/2 + t[42]/2 + 
       (153*t[43])/8 + t[44] - (9*t[45])/4 + (3*t[46])/2 + (17*t[47])/2 - 
       (329*t[48])/8 + (297*t[49])/8 - (305*t[50])/8 - (319*t[51])/16 + 
       (417*t[52])/8 - (297*t[53])/8 - (345*t[54])/8 - t[56] - (91*t[59])/2 + 
       (735*t[60])/4 + 130*t[61] + (449*t[62])/4 + (413*t[63])/2 - 
       236*t[64] - (1355*t[65])/12 - (1961*t[66])/12 + t[67] - 2*t[68] - 
       16*t[69] - 2*t[70] + 2*t[71] + 16*t[72] + 3*t[74] + 2*t[76] + 
       4*t[77] - 2*t[78] - 124*t[79] + 4*t[80] + (5*t[81])/2 - (3*t[82])/2 - 
       6*t[83] + 16*t[84] + (393*t[85])/4 - (487*t[86])/2 - (513*t[87])/4 - 
       (513*t[88])/8 + (469*t[89])/8 - t[92]/2 + 2*t[93] + 12*t[98] - 
       18*t[99] + 22*t[100])*\[Zeta][5]
 
TuvwCoproductEntriet[1 - w] = -(D7[v, w, u]*t[9]) + 
     D16[v, w, u]*(t[7] - t[8] - t[10]) + D16[u, v, w]*t[10] - 
     D9[v, u, w]*t[10] - B2[u, w, v]*HPL[{1}, 1 - u]*t[11] + 
     B2[u, w, v]*HPL[{1}, 1 - v]*t[11] - (D23[w, u, v]*t[14])/2 - 
     B1[w, u, v]*HPL[{1}, 1 - u]*t[14] + B1[w, u, v]*HPL[{1}, 1 - v]*t[14] + 
     D2[v, u, w]*t[19] + D15[v, w, u]*t[26] + D14[u, v, w]*t[37] + 
     D6[v, u, w]*t[46] + D8[w, v, u]*t[49] + D7[u, v, w]*t[51] + 
     D29[u, v, w]*(t[3] + (3*t[4])/2 + (3*t[5])/2 + (19*t[6])/4 + 
       (11*t[8])/2 - (5*t[9])/2 - (21*t[10])/4 + (5*t[11])/4 - (7*t[12])/4 - 
       (7*t[14])/8 - (7*t[15])/6 - 2*t[27] - t[46] + (7*t[48])/4 + 
       (7*t[49])/4 - t[50]/4 - t[51]/8 + t[52]/4 - (7*t[53])/4 - 
       (5*t[54])/4) + D10[u, w, v]*t[54] + D25[u, v, w]*t[55] + 
     D26[w, u, v]*t[58] + (D2[u, w, v]*t[59])/2 - D3[v, u, w]*t[59] + 
     (HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - v]*t[59])/12 - 
     6*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v]*t[59] + 
     4*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*t[59] - 
     16*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*t[59] + 
     32*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - v]*t[59] + 
     D7[w, u, v]*(t[12] - t[61]) - B1[v, w, u]*HPL[{1}, 1 - u]*t[61] + 
     B1[v, w, u]*HPL[{1}, 1 - v]*t[61] + D4[v, w, u]*(-t[12] + t[61]) + 
     D7[u, w, v]*(-t[13] + t[61]) + D12[u, w, v]*(-t[14]/4 + t[51]/4 + 
       t[62]/2 + t[63]/2) - B4[v, w, u]*HPL[{1}, 1 - u]*t[63] + 
     B4[v, w, u]*HPL[{1}, 1 - v]*t[63] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*
      HPL[{1}, 1 - w]*(-t[61]/4 - t[62]/12 + t[64]/4) - 
     (D12[v, w, u]*t[64])/2 + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*
      ((112*t[14])/3 + 64*t[60] - 40*t[65]) + D10[w, u, v]*(t[60] - t[65]) + 
     D10[w, v, u]*(t[4] - t[12] + t[60] - t[65]) + 
     D11[w, u, v]*(-t[15]/3 + t[60] - t[65]) + B3[w, u, v]*HPL[{1}, 1 - v]*
      ((2*t[14])/3 - (2*t[65])/3) + D10[v, u, w]*(t[14]/2 - t[51]/2 - t[62] + 
       t[63] - (2*t[65])/3) + B2[v, w, u]*HPL[{1}, 1 - v]*
      (t[14]/3 + t[60] - t[65]/3) + B2[v, w, u]*HPL[{1}, 1 - u]*
      (-t[14]/3 - t[60] + t[65]/3) + B3[w, u, v]*HPL[{1}, 1 - u]*
      ((-2*t[14])/3 + (2*t[65])/3) - (2*D1[w, v, u]*t[65])/3 + 
     (2*D22[u, v, w]*t[65])/3 - (2*B2[v, u, w]*HPL[{1}, 1 - u]*t[65])/3 + 
     (2*B2[v, u, w]*HPL[{1}, 1 - v]*t[65])/3 - 
     (HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*t[65])/9 + 
     D11[v, u, w]*(-t[60] + t[65]) + D11[u, v, w]*(-t[4] + t[12] + t[53] - 
       t[60] + t[65]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*
      ((-112*t[14])/3 - 64*t[60] + (128*t[65])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*
      (-64*t[6] + (112*t[13])/3 + 16*t[59] - (256*t[66])/3) + 
     D22[v, w, u]*((2*t[13])/3 - t[59]/2 - t[61]/2 - (4*t[66])/3) + 
     D10[u, v, w]*((-2*t[13])/3 - t[14]/2 + t[51]/2 - t[64] + (4*t[66])/3) + 
     D19[v, w, u]*(t[1] - t[12] - (2*t[13])/3 + t[38] + (2*t[65])/3 + 
       (4*t[66])/3) + D11[w, v, u]*((-2*t[13])/3 + 2*t[66]) + 
     HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u]*(-18*t[1] - 16*t[2] + 16*t[3] + 
       4*t[4] + 16*t[5] + 70*t[6] - 32*t[7] - 32*t[8] - 32*t[9] + 60*t[10] - 
       140*t[11] + 10*t[12] - (170*t[13])/3 + (44*t[14])/3 - (16*t[15])/3 + 
       16*t[23] - 10*t[38] - 8*t[41] + 8*t[42] - 16*t[48] - 16*t[50] + 
       16*t[52] - 36*t[54] - 22*t[59] + 32*t[61] + 4*t[62] - 4*t[63] - 
       124*t[64] - (152*t[65])/3 + (512*t[66])/3) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u]*(-57*t[1] - 48*t[2] + 48*t[3] + 
       2*t[4] + 48*t[5] + 207*t[6] - 96*t[7] - 96*t[8] - 96*t[9] + 
       158*t[10] - 414*t[11] + 33*t[12] - 171*t[13] + (146*t[14])/3 - 
       16*t[15] + 48*t[23] - 33*t[38] - 24*t[41] + 24*t[42] - 48*t[48] - 
       48*t[50] + 48*t[52] - 114*t[54] - 63*t[59] + 112*t[61] + 2*t[62] - 
       2*t[63] - 350*t[64] - (476*t[65])/3 + 512*t[66]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u]*(-120*t[1] - 80*t[2] + 80*t[3] + 
       80*t[5] + 448*t[6] - 160*t[7] - 160*t[8] - 160*t[9] + 320*t[10] - 
       800*t[11] + 80*t[12] - 368*t[13] + 120*t[14] - (80*t[15])/3 + 
       80*t[23] - 80*t[38] - 40*t[41] + 40*t[42] - 80*t[48] - 80*t[50] + 
       80*t[52] - 240*t[54] - 112*t[59] + 240*t[61] - 640*t[64] - 320*t[65] + 
       1024*t[66]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*
      (64*t[6] - (112*t[13])/3 - 16*t[59] + 88*t[66] - 4*t[71]) + 
     D1[w, u, v]*((-2*t[66])/3 + t[71]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*(12*t[1] - 8*t[2] - 6*t[6] - 12*t[10] + 
       24*t[11] - 2*t[12] + 28*t[13] + 4*t[14] + 2*t[15] - 10*t[23] + 
       4*t[41] - 4*t[42] + 18*t[59] - 4*t[61] + 24*t[64] + (16*t[65])/3 - 
       88*t[66] + 4*t[71]) + D17[w, u, v]*t[76] + D18[w, u, v]*t[78] + 
     D15[w, u, v]*t[81] + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*
      (100*t[11] - (20*t[65])/3 - 30*t[83]) + B11[v, w, u]*HPL[{1}, 1 - v]*
      ((-2*t[14])/3 - 3*t[60] + t[65] - 2*t[83]) + 
     2*B9[u, v, w]*HPL[{1}, 1 - u]*t[83] - 2*B9[u, v, w]*HPL[{1}, 1 - v]*
      t[83] + B11[v, w, u]*HPL[{1}, 1 - u]*((2*t[14])/3 + 3*t[60] - t[65] + 
       2*t[83]) + D11[u, w, v]*(t[10] + t[11] + t[12] + (4*t[13])/3 + 
       (2*t[14])/3 - t[15]/3 - t[49] + t[53] + t[60] - 2*t[62] - 2*t[63] - 
       (7*t[66])/3 + t[84]) + D21[w, u, v]*t[85] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-35*t[1])/6 - (31*t[2])/3 - (65*t[3])/4 - (425*t[4])/12 + 
       (65*t[5])/6 + (201*t[6])/8 - (133*t[7])/6 + (22*t[8])/3 + 
       (23*t[9])/12 + (77*t[10])/24 - (33*t[11])/8 + (205*t[12])/24 - 
       (286*t[13])/27 + (1873*t[14])/144 + (559*t[15])/72 + (14*t[17])/3 - 
       t[18]/3 + 5*t[19] - t[21] + 3*t[23] - (17*t[24])/3 + 9*t[31] + 
       (13*t[41])/2 - (25*t[42])/6 + (19*t[43])/3 + (58*t[45])/3 + 
       (7*t[46])/3 - (110*t[47])/3 - (167*t[48])/24 - (133*t[49])/24 - 
       (167*t[50])/24 + (49*t[51])/48 + (167*t[52])/24 + (133*t[53])/24 + 
       (39*t[54])/8 - (11*t[59])/3 + (8*t[61])/3 + (10*t[62])/3 - 
       (2*t[63])/3 + (22*t[64])/3 + (8*t[65])/9 + (232*t[66])/9 - 
       (8*t[71])/3 - (8*t[80])/3 - (8*t[86])/3) + 
     D16[w, u, v]*(2*t[4] - t[64] - 2*t[87]) + D13[w, u, v]*t[87] + 
     D24[w, u, v]*(t[87] + t[88]/2) + D5[w, u, v]*t[88] + D5[w, v, u]*t[88] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*(-50*t[2] + 44*t[3] + 
       2*t[9] + (4*t[13])/3 - (112*t[14])/3 + (38*t[15])/3 + 10*t[32] - 
       20*t[34] + 14*t[59] - 64*t[60] - 2*t[61] + 12*t[64] + 56*t[65] + 
       (4*t[66])/3 + 10*t[71] + 16*t[87] + 8*t[88]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*(3*t[3] + 120*t[4] - 
       (21*t[5])/2 - 9*t[6] + 3*t[7] - 3*t[8] + (15*t[9])/2 + 120*t[10] + 
       54*t[11] - (159*t[12])/2 - (67*t[13])/2 + 110*t[14] - (175*t[15])/4 + 
       6*t[46] - 9*t[48] + 33*t[49] - 3*t[50] - (83*t[51])/2 + 3*t[52] - 
       33*t[53] - 45*t[54] - 3*t[59] + 114*t[60] + 94*t[61] - 155*t[62] + 
       23*t[63] - 286*t[64] - 71*t[65] - (703*t[66])/3 - 12*t[75] + 6*t[81] - 
       6*t[82] + 10*t[83] + 35*t[84] + 60*t[85] + 24*t[86] - 90*t[87] - 
       58*t[88] - 73*t[89]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-19*t[1])/2 + (3*t[2])/2 + 11*t[3] + (5*t[4])/2 + (33*t[5])/4 - 
       (115*t[6])/4 - (39*t[7])/2 + (23*t[8])/2 - (77*t[9])/4 + 
       (29*t[10])/4 - (61*t[11])/4 + (29*t[12])/2 - (205*t[13])/6 - 
       (691*t[14])/24 + (47*t[15])/24 - 9*t[34] - 9*t[38] - t[41]/2 + 
       (17*t[42])/2 + t[43] + 6*t[45] - 6*t[47] + (23*t[48])/4 + 
       (7*t[49])/4 - t[50]/4 - (5*t[51])/8 + (37*t[52])/4 - (7*t[53])/4 - 
       (57*t[54])/4 - (23*t[59])/2 - 17*t[60] - 40*t[61] + 15*t[62] + 
       13*t[63] + (49*t[64])/2 - (121*t[65])/3 + 33*t[66] - 17*t[84] + 
       2*t[85] - 18*t[89]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(t[4]/4 - (3*t[5])/8 + (3*t[7])/4 + 
       (3*t[8])/4 + (15*t[9])/8 - (81*t[10])/8 + (41*t[11])/4 + 8*t[12] + 
       (33*t[13])/4 + t[14]/8 - (15*t[15])/16 - t[36] - (33*t[49])/8 + 
       (17*t[51])/4 + (33*t[53])/8 + 5*t[54] + (27*t[60])/4 - (41*t[61])/4 - 
       (9*t[62])/2 - (35*t[63])/2 + (115*t[64])/8 - 10*t[65] - (89*t[66])/3 + 
       t[72] + t[73] + t[75] + 3*t[76] - t[79] + t[83] - t[84] - t[85] + 
       3*t[86] + t[87]/4 + t[88]/8 - (67*t[89])/8) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-t[1] - (11*t[4])/4 + (3*t[5])/4 + (3*t[6])/8 + (3*t[7])/4 + 
       (3*t[8])/4 - (3*t[9])/4 + (161*t[10])/8 - (113*t[11])/8 - 
       (31*t[12])/8 - (23*t[13])/3 + (109*t[14])/16 + (13*t[15])/12 + t[26] - 
       t[27] + t[37] - t[38] - (11*t[46])/2 + (3*t[48])/8 + (75*t[49])/8 + 
       (3*t[50])/8 - (3*t[51])/16 - (3*t[52])/8 - (47*t[53])/8 + 
       (5*t[54])/8 + (5*t[59])/6 - 12*t[60] + (51*t[61])/4 - t[62]/4 + 
       (109*t[63])/4 - (101*t[64])/8 + (31*t[65])/3 + 17*t[66] + t[73] - 
       t[74] + t[75] + 3*t[76] - t[79] - t[81]/2 + t[82]/2 + t[83] - t[84] - 
       (7*t[85])/4 + 3*t[86] + t[87] + t[88]/2 - (29*t[89])/4) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (9*t[4] + (3*t[5])/16 - (3*t[7])/8 - (3*t[8])/8 - (3*t[9])/16 + 
       (27*t[10])/4 + (15*t[11])/8 - (53*t[12])/16 - (8*t[13])/3 + 
       (647*t[14])/96 - (63*t[15])/32 + t[36]/2 + (27*t[49])/8 - 
       (81*t[51])/32 - (27*t[53])/8 - (17*t[54])/8 + (45*t[60])/4 + 
       (7*t[61])/4 - (111*t[62])/16 + (87*t[63])/16 - (177*t[64])/8 - 
       (745*t[65])/72 - (209*t[66])/24 - t[73]/2 - (3*t[75])/2 + t[79]/2 + 
       (7*t[83])/4 + (17*t[84])/8 + (17*t[85])/8 - (3*t[86])/2 - 
       (39*t[87])/4 - (39*t[88])/8 - (31*t[89])/8) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((67*t[2])/8 + (41*t[3])/4 - (9*t[4])/8 + (57*t[5])/16 - 2*t[6] + 
       (45*t[7])/4 - (99*t[8])/4 - (83*t[9])/16 - (79*t[10])/16 + 
       (9*t[11])/2 + (13*t[12])/8 - (35*t[13])/12 + (353*t[14])/96 - 
       (1003*t[15])/96 + 4*t[18] + 16*t[20] - 8*t[22] + t[29] + (3*t[32])/2 + 
       t[33] + 4*t[44] - 2*t[48] + (3*t[49])/16 + 2*t[50] - (3*t[51])/32 - 
       2*t[52] - (3*t[53])/16 - (19*t[54])/8 - (15*t[59])/4 + (123*t[60])/8 + 
       (151*t[61])/8 - (367*t[62])/16 - (25*t[63])/16 - (45*t[64])/16 - 
       (89*t[65])/6 - (37*t[66])/12 - t[67]/4 - 8*t[69] + 2*t[70] - 2*t[71] - 
       t[74]/2 - t[81]/4 + t[82]/4 - (3*t[84])/4 + (3*t[85])/8 - 
       (23*t[87])/8 - (31*t[88])/16 - (59*t[89])/16) + 
     D33[v, w, u]*(-t[1]/2 + t[3] + t[4] - t[5] - (13*t[6])/8 - t[7] - 
       3*t[8] - (5*t[9])/4 - (3*t[10])/2 + t[11]/8 + (3*t[12])/2 - 
       (37*t[13])/36 - (29*t[14])/24 - (25*t[15])/24 - t[39]/2 + t[40] - 
       (7*t[48])/8 + t[49]/2 + t[50]/8 - t[51]/4 - t[52]/8 - t[53]/2 - 
       (9*t[54])/8 - t[60]/4 - (15*t[61])/4 + (29*t[62])/8 + (43*t[63])/8 + 
       (17*t[64])/8 - (95*t[65])/12 - (5*t[66])/4 + t[76]/2 - t[77] - 
       (5*t[78])/2 - 2*t[80] - (9*t[84])/4 + (7*t[85])/4 - (3*t[87])/4 - 
       (3*t[88])/8 - (21*t[89])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - v]*(-t[1]/3 - (7*t[4])/6 - t[7]/4 - t[8]/4 + 
       (5*t[10])/2 + (2*t[11])/3 - (5*t[12])/3 - (43*t[13])/18 + 
       (125*t[14])/72 - t[15]/9 + t[26]/3 - (2*t[37])/3 - t[38]/3 + 
       (2*t[46])/3 + (3*t[49])/2 - t[51] + (5*t[54])/4 - (11*t[59])/36 - 
       t[60]/2 + (31*t[61])/12 - (5*t[62])/4 + (15*t[63])/4 - (55*t[64])/24 - 
       (127*t[65])/36 - (11*t[66])/36 - 2*t[69] + t[70] - t[71] + t[74] + 
       t[79] - t[83]/2 - (5*t[84])/4 - (5*t[85])/4 - t[86] - (4*t[87])/3 - 
       (2*t[88])/3 - (29*t[89])/12) + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*(t[1]/2 + (57*t[4])/4 - (3*t[5])/8 - (3*t[6])/16 - 
       (7*t[7])/8 - (7*t[8])/8 + (3*t[9])/8 + (97*t[10])/16 + (37*t[11])/16 - 
       (117*t[12])/16 - (3*t[13])/4 + (509*t[14])/96 - (55*t[15])/24 - 
       t[26]/2 - t[37] + t[38]/2 - t[46]/2 - (3*t[48])/16 + (73*t[49])/16 - 
       (3*t[50])/16 - (73*t[51])/32 + (3*t[52])/16 - (109*t[53])/16 - 
       (31*t[54])/16 + t[59]/6 + (111*t[60])/8 + (3*t[61])/2 - 
       (191*t[62])/48 + (5*t[63])/16 - (99*t[64])/4 - (293*t[65])/24 - 
       (85*t[66])/8 + t[69]/2 - t[70]/4 + t[71]/4 - t[73]/2 + t[74] - 
       (3*t[75])/2 + t[79] + t[81]/4 - t[82]/4 + (13*t[83])/8 + 
       (17*t[84])/8 + (5*t[85])/2 - (7*t[86])/2 - (81*t[87])/8 - 
       (81*t[88])/16 - (35*t[89])/16) + HPL[{1}, 1 - v]*Phi6[u, v, w]^2*
      (t[3]/2 + t[4] - (3*t[5])/16 - (17*t[6])/16 + (9*t[7])/8 + (9*t[8])/8 - 
       (5*t[9])/16 - (11*t[10])/8 + (21*t[11])/16 - (7*t[12])/16 - 
       (41*t[13])/72 + (37*t[14])/48 - (95*t[15])/96 - t[28]/2 - t[31]/2 + 
       t[35]/2 - t[39]/2 + t[40]/2 - t[45]/2 - t[46]/4 + t[47] - 
       (5*t[48])/16 + t[49] + (3*t[50])/16 - (7*t[51])/16 - (3*t[52])/16 - 
       t[53] - (3*t[54])/16 + t[60]/8 - (5*t[61])/8 - (85*t[62])/16 + 
       (17*t[63])/16 + (61*t[64])/16 - (23*t[65])/12 - (7*t[66])/6 - 
       t[74]/2 - t[75]/2 - t[77]/2 - t[78]/2 - t[79]/2 + t[80] - t[81]/4 + 
       t[82]/4 + (3*t[83])/2 - t[84]/2 + t[85]/8 + (15*t[86])/2 + 
       (3*t[87])/8 + (3*t[88])/16 - (33*t[89])/16) + 
     B8[w, u, v]*HPL[{1}, 1 - u]*(-t[2] + (3*t[3])/4 - t[4] - (5*t[6])/4 + 
       (3*t[7])/4 + t[8]/4 - (3*t[9])/4 - (29*t[10])/4 + (9*t[11])/4 + 
       (3*t[12])/4 + (41*t[13])/72 - 4*t[14] - (5*t[15])/12 - t[20] - t[21] + 
       t[23] - t[28] - t[31] + t[35] - t[39] + t[40] - t[41]/2 + t[42]/2 - 
       t[45] + 2*t[47] - t[48]/4 + t[50]/4 - (5*t[52])/4 - t[54]/4 - 
       6*t[60] - (7*t[61])/2 - t[62]/4 + t[63]/4 + (23*t[64])/2 + 
       (13*t[65])/12 + (29*t[66])/12 - t[75] - t[77] - t[78] + 2*t[80] - 
       t[81]/2 + t[82]/2 + t[83] - (3*t[84])/4 + 6*t[86] + (7*t[87])/2 + 
       (7*t[88])/4 - (3*t[89])/2) + B10[w, u, v]*HPL[{1}, 1 - u]*
      (t[10] - 2*t[11] - t[12] - (2*t[13])/3 + (2*t[14])/3 - t[15]/3 - 
       2*t[46] + t[49] + t[51] - t[53] + 2*t[61] - t[62] + 6*t[63] - t[64] + 
       (4*t[66])/3 - t[89]) + B11[u, v, w]*HPL[{1}, 1 - v]*
      (-t[7] - t[8] - t[10] - t[11] + (2*t[14])/3 + t[61] + 3*t[62] + t[63] - 
       3*t[64] - (4*t[65])/3 - 4*t[86] - t[89]) + B9[v, w, u]*HPL[{1}, 1 - v]*
      (-t[7]/2 - t[8]/2 + (3*t[10])/2 + (5*t[13])/3 - (5*t[14])/12 - t[16] + 
       t[46] + (3*t[51])/4 + t[61] + 2*t[62] - (17*t[63])/2 - t[64]/2 - 
       (10*t[66])/3 - 2*t[74] - 2*t[79] - 2*t[86] - t[89]) + 
     D25[v, w, u]*(-t[60] - (11*t[61])/2 + 2*t[62] + 2*t[63] - (17*t[64])/4 + 
       t[65] + (10*t[66])/3 - (3*t[89])/4) + B5[w, u, v]*HPL[{1}, 1 - u]*
      (t[4]/2 - t[6]/2 + t[10]/4 - (3*t[12])/4 - t[13]/2 - t[14]/24 - 
       t[15]/4 + (3*t[49])/4 - (3*t[51])/8 - (3*t[53])/4 - t[54]/2 + 
       t[60]/2 - t[61]/2 - t[62]/4 + (5*t[63])/4 - (5*t[64])/4 - 
       (13*t[65])/6 + t[66]/6 - t[72] - t[83] - t[84]/2 + t[85]/2 - t[87]/2 - 
       t[88]/4 - (3*t[89])/4) + D32[v, w, u]*(-t[4]/2 - t[6]/2 - 4*t[9] - 
       (7*t[10])/4 + t[11] + (5*t[12])/4 + (17*t[13])/6 + (9*t[14])/8 + 
       (5*t[15])/12 - (9*t[49])/4 + t[51]/8 + t[53]/4 - t[54]/2 + t[60]/2 - 
       (9*t[61])/2 + (3*t[62])/4 - (3*t[63])/4 + (11*t[64])/4 - 
       (23*t[65])/6 - (97*t[66])/6 - (3*t[84])/2 - t[85]/2 + (3*t[87])/2 - 
       t[88]/4 - (3*t[89])/4) + D24[u, v, w]*(-t[4]/2 - (3*t[10])/4 + 
       t[12]/4 + t[13]/6 - t[14]/24 + t[15]/12 - t[49]/4 + t[51]/8 + 
       t[53]/4 + t[54]/2 - t[60]/2 - t[61]/2 - t[62]/4 + t[63]/4 + 
       (7*t[64])/4 - (5*t[65])/6 - (7*t[66])/6 - t[84]/2 - t[85]/2 + 
       t[87]/2 + t[88]/4 - (3*t[89])/4) + B5[w, v, u]*HPL[{1}, 1 - u]*
      (-t[4]/2 + t[6]/2 - t[7] + t[8] + (5*t[10])/4 + t[12]/4 + (5*t[13])/6 + 
       (19*t[14])/24 - t[15]/4 - t[27] - t[49]/4 + t[51]/8 + t[53]/4 + 
       t[54]/2 + t[60]/2 + (3*t[61])/2 - t[62]/4 + t[63]/4 + (3*t[64])/4 + 
       t[65]/6 - (13*t[66])/6 + t[83] + t[84]/2 - t[85]/2 + t[87]/2 + 
       t[88]/4 - (3*t[89])/4) + D21[v, w, u]*(t[4] + t[10]/2 - (3*t[12])/2 - 
       t[13]/3 + t[14]/4 - t[15]/6 + t[49]/2 + t[51]/4 - t[53]/2 + 2*t[60] - 
       t[62]/2 + t[63]/2 - (3*t[64])/2 - (7*t[65])/3 - (2*t[66])/3 - t[87] - 
       t[88]/2 - t[89]/2) + D20[w, u, v]*(t[4] + t[10]/2 - t[12]/2 - 
       t[13]/3 + (3*t[14])/4 - t[15]/6 + t[49]/2 - t[51]/4 - t[53]/2 + 
       t[60] - t[62]/2 + t[63]/2 - 2*t[64] - (4*t[65])/3 - (2*t[66])/3 - 
       t[87] - t[88]/2 - t[89]/2) + F1[v, w, u]*Phi6[u, v, w]*
      (t[60] + t[62]/2 - t[63]/2 - 2*t[64] + (2*t[65])/3 - t[82]/2 - t[87] - 
       t[88]/2 - t[89]/2) + D22[w, u, v]*(-t[4] + t[6]/2 + t[10]/2 - t[11] + 
       t[12]/2 - t[13]/3 + (3*t[14])/4 + t[15]/6 - t[49]/2 + t[51]/4 + 
       t[53]/2 + t[54] - t[60] + t[61] - t[62]/2 + t[63]/2 + t[64]/2 + 
       t[65]/3 + (4*t[66])/3 - t[85] + t[87] + t[88]/2 - t[89]/2) + 
     D25[w, v, u]*(-t[3] - (3*t[4])/2 - (3*t[5])/2 - (19*t[6])/4 - 
       (11*t[8])/2 + (5*t[9])/2 + (21*t[10])/4 - (5*t[11])/4 + (7*t[12])/4 + 
       (7*t[14])/8 + (7*t[15])/6 + 2*t[27] + t[46] - (7*t[48])/4 - 
       (7*t[49])/4 + t[50]/4 + t[51]/8 - t[52]/4 + (7*t[53])/4 + 
       (5*t[54])/4 + (3*t[60])/2 - t[61]/2 + t[62]/4 - (13*t[63])/4 + 
       (5*t[64])/4 + (5*t[65])/3 - t[81] - t[82] + (3*t[85])/2 - 
       (3*t[87])/2 - (3*t[88])/4 - t[89]/4) + 
     D24[v, w, u]*(-t[4]/2 + (3*t[10])/4 - t[11] - t[12]/4 - (5*t[13])/6 + 
       t[14]/24 + t[15]/4 + t[49]/4 - t[51]/8 - t[53]/4 + t[54]/2 - 
       (3*t[60])/2 + t[61]/2 + t[62]/4 + (7*t[63])/4 + t[64]/4 + t[65]/2 + 
       (3*t[66])/2 - t[84]/2 - t[85]/2 + t[87]/2 + t[88]/4 - t[89]/4) + 
     B9[w, u, v]*HPL[{1}, 1 - v]*((9*t[5])/4 + (3*t[6])/4 - 2*t[7] - 2*t[8] - 
       (9*t[9])/4 + (3*t[10])/2 - (27*t[11])/4 - (3*t[12])/4 - t[13]/2 - 
       (4*t[14])/3 + (7*t[15])/8 + 2*t[28] + 2*t[39] + (3*t[48])/4 + 
       (3*t[50])/4 - (3*t[52])/4 - (3*t[54])/4 - (3*t[60])/2 - t[61]/2 + 
       (23*t[62])/4 + (21*t[63])/4 - (11*t[64])/4 + (5*t[65])/3 + 
       (2*t[66])/3 - 2*t[68] - 4*t[79] + t[81] - t[82] - 2*t[83] - 
       (3*t[85])/2 - 8*t[86] + (3*t[87])/2 + (3*t[88])/4 - t[89]/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-245*t[2])/6 + (371*t[3])/12 - (133*t[4])/12 - (97*t[5])/8 + 
       (29*t[6])/3 + (125*t[7])/12 + (131*t[8])/12 + (107*t[9])/24 + 
       (83*t[10])/8 - (137*t[11])/4 - (49*t[12])/12 - (611*t[13])/36 - 
       (2185*t[14])/144 + (1453*t[15])/144 - 5*t[18] - 18*t[20] + 10*t[22] + 
       (31*t[29])/3 - (14*t[32])/3 + (31*t[33])/3 - 8*t[34] + (14*t[44])/3 + 
       7*t[48] + (49*t[49])/24 + 8*t[50] - (49*t[51])/48 - 8*t[52] - 
       (49*t[53])/24 + (155*t[54])/12 + (26*t[59])/3 - (767*t[60])/12 - 
       (235*t[61])/12 + (505*t[62])/24 + (763*t[63])/24 - (95*t[64])/24 + 
       (293*t[65])/12 + (261*t[66])/4 - (7*t[67])/3 + 9*t[69] + t[70] - 
       t[71] - (14*t[74])/3 - (7*t[81])/3 + (7*t[82])/3 - (91*t[84])/12 - 
       (71*t[85])/12 + (127*t[87])/4 + (87*t[88])/8 - (5*t[89])/24) + 
     B7[w, u, v]*HPL[{1}, 1 - v]*(t[2] + t[3]/4 - (3*t[5])/8 - (7*t[6])/8 + 
       t[7]/4 + (3*t[8])/4 + t[9]/8 + (9*t[10])/4 + (3*t[11])/8 + 
       (3*t[12])/8 - (5*t[13])/24 + t[14]/2 - (9*t[15])/16 + t[20] + t[21] - 
       t[23] + t[41]/2 - t[42]/2 - (3*t[48])/8 + t[50]/8 + (7*t[52])/8 - 
       t[54]/8 + (9*t[60])/4 + t[61]/4 - (31*t[62])/8 - (13*t[63])/8 + 
       (13*t[64])/8 - (5*t[65])/4 - (13*t[66])/12 + t[83] - t[84]/4 + 
       t[85]/4 + 4*t[86] - (3*t[87])/4 - (3*t[88])/8 - t[89]/8) + 
     B7[w, u, v]*HPL[{1}, 1 - u]*(-t[2] - t[3]/4 + (3*t[5])/8 + (7*t[6])/8 - 
       t[7]/4 - (3*t[8])/4 - t[9]/8 - (9*t[10])/4 - (3*t[11])/8 - 
       (3*t[12])/8 + (5*t[13])/24 - t[14]/2 + (9*t[15])/16 - t[20] - t[21] + 
       t[23] - t[41]/2 + t[42]/2 + (3*t[48])/8 - t[50]/8 - (7*t[52])/8 + 
       t[54]/8 - (9*t[60])/4 - t[61]/4 + (31*t[62])/8 + (13*t[63])/8 - 
       (13*t[64])/8 + (5*t[65])/4 + (13*t[66])/12 - t[83] + t[84]/4 - 
       t[85]/4 - 4*t[86] + (3*t[87])/4 + (3*t[88])/8 + t[89]/8) + 
     D26[v, u, w]*(t[3]/2 - (7*t[4])/2 + (5*t[5])/4 + (3*t[6])/2 - t[7]/2 - 
       (3*t[8])/2 + (3*t[9])/4 - (3*t[10])/4 - (7*t[11])/2 + (3*t[12])/2 - 
       (31*t[13])/36 - (53*t[14])/24 + (3*t[15])/8 + t[46] - (7*t[49])/4 + 
       (3*t[51])/8 + (7*t[53])/4 + (3*t[54])/2 - t[60]/2 - (5*t[61])/2 + 
       2*t[62] + t[64]/4 + (17*t[65])/3 + (11*t[66])/2 + t[76] + 2*t[80] + 
       t[89]/4) + D29[v, w, u]*((-3*t[2])/2 + (15*t[4])/2 - (7*t[5])/4 - 
       t[6] + (17*t[8])/2 + (17*t[9])/4 + (27*t[10])/4 + 3*t[11] + 
       (7*t[12])/2 + (11*t[13])/6 - t[14]/8 - t[15]/8 - t[16] - 2*t[36] + 
       2*t[46] - t[49]/4 + t[51]/8 + t[53]/4 - (3*t[54])/2 + (3*t[60])/2 + 
       t[61]/2 + t[62]/4 - (13*t[63])/4 - (5*t[64])/4 - (5*t[65])/3 - 
       (10*t[66])/3 + 2*t[68] - t[81] + t[82] + (3*t[85])/2 - (3*t[87])/2 - 
       (3*t[88])/4 + t[89]/4) + B9[w, u, v]*HPL[{1}, 1 - u]*
      ((-9*t[5])/4 - (3*t[6])/4 + 2*t[7] + 2*t[8] + (9*t[9])/4 - 
       (3*t[10])/2 + (27*t[11])/4 + (3*t[12])/4 + t[13]/2 + (4*t[14])/3 - 
       (7*t[15])/8 - 2*t[28] - 2*t[39] - (3*t[48])/4 - (3*t[50])/4 + 
       (3*t[52])/4 + (3*t[54])/4 + (3*t[60])/2 + t[61]/2 - (23*t[62])/4 - 
       (21*t[63])/4 + (11*t[64])/4 - (5*t[65])/3 - (2*t[66])/3 + 2*t[68] + 
       4*t[79] - t[81] + t[82] + 2*t[83] + (3*t[85])/2 + 8*t[86] - 
       (3*t[87])/2 - (3*t[88])/4 + t[89]/4) + 
     D21[u, v, w]*(t[4] - t[10]/2 - t[12]/2 + t[13]/3 - t[14]/4 + t[15]/6 + 
       t[49]/2 - t[51]/4 - t[53]/2 + 2*t[60] - t[61] + t[62]/2 - t[63]/2 - 
       t[64]/2 - (5*t[65])/3 + (2*t[66])/3 - t[87] - t[88]/2 + t[89]/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      (-6*t[4] - t[7]/2 - t[8]/2 - (3*t[10])/2 - t[11] + t[12]/4 - t[13]/6 - 
       (49*t[14])/24 + (17*t[15])/12 + t[46] - t[49]/4 + (3*t[51])/8 + 
       (9*t[53])/4 + (7*t[54])/4 - t[59]/2 - 3*t[60] - (5*t[61])/4 + 
       (19*t[62])/4 - (3*t[63])/4 + (69*t[64])/8 + (29*t[65])/12 + 
       (23*t[66])/4 - 2*t[69] + t[70] - t[71] + 2*t[75] - (7*t[83])/2 - 
       (7*t[84])/4 - (7*t[85])/4 - 2*t[86] + (3*t[87])/2 + (3*t[88])/4 + 
       t[89]/2) + B5[w, v, u]*HPL[{1}, 1 - v]*(t[4]/2 - t[6]/2 + t[7] - 
       t[8] - (5*t[10])/4 - t[12]/4 - (5*t[13])/6 - (19*t[14])/24 + t[15]/4 + 
       t[27] + t[49]/4 - t[51]/8 - t[53]/4 - t[54]/2 - t[60]/2 - 
       (3*t[61])/2 + t[62]/4 - t[63]/4 - (3*t[64])/4 - t[65]/6 + 
       (13*t[66])/6 - t[83] - t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + 
       (3*t[89])/4) + D27[u, v, w]*((-3*t[4])/2 + t[6]/2 + (15*t[10])/4 - 
       t[11] - (5*t[12])/4 - (13*t[13])/6 + (11*t[14])/8 - (5*t[15])/12 + 
       (9*t[49])/4 + (11*t[51])/8 - t[53]/4 - t[54]/2 + (5*t[60])/2 + 
       (9*t[61])/2 - (3*t[62])/4 + (3*t[63])/4 - (23*t[64])/4 + (5*t[65])/6 + 
       (29*t[66])/6 + (3*t[84])/2 + t[85]/2 - t[87]/2 - t[88]/4 + 
       (3*t[89])/4) + D32[u, v, w]*(-t[1] + t[4]/2 - t[6]/2 + 4*t[7] - 
       4*t[8] - (5*t[10])/4 - 2*t[11] - (5*t[12])/4 - (17*t[13])/6 - 
       (21*t[14])/8 + (5*t[15])/4 - t[38] + (9*t[49])/4 + (3*t[51])/8 - 
       t[53]/4 + t[54]/2 + t[59]/2 - (11*t[60])/2 + 2*t[61] + (21*t[62])/4 + 
       (3*t[63])/4 - (3*t[64])/4 + (31*t[65])/6 + (11*t[66])/6 - 
       (3*t[84])/2 - t[85]/2 + (3*t[87])/2 - t[88]/4 + (3*t[89])/4) + 
     B5[w, u, v]*HPL[{1}, 1 - v]*(-t[4]/2 + t[6]/2 - t[10]/4 + (3*t[12])/4 + 
       t[13]/2 + t[14]/24 + t[15]/4 - (3*t[49])/4 + (3*t[51])/8 + 
       (3*t[53])/4 + t[54]/2 - t[60]/2 + t[61]/2 + t[62]/4 - (5*t[63])/4 + 
       (5*t[64])/4 + (13*t[65])/6 - t[66]/6 + t[72] + t[83] + t[84]/2 - 
       t[85]/2 + t[87]/2 + t[88]/4 + (3*t[89])/4) + D9[u, v, w]*t[89] + 
     B10[w, u, v]*HPL[{1}, 1 - v]*(-t[10] + 2*t[11] + t[12] + (2*t[13])/3 - 
       (2*t[14])/3 + t[15]/3 + 2*t[46] - t[49] - t[51] + t[53] - 2*t[61] + 
       t[62] - 6*t[63] + t[64] - (4*t[66])/3 + t[89]) + 
     D20[v, w, u]*(-t[10] + (2*t[13])/3 - (5*t[14])/4 + t[15]/3 + t[51]/4 - 
       t[61] + (3*t[62])/2 - (3*t[63])/2 + (3*t[64])/2 + (2*t[65])/3 + 
       (4*t[66])/3 + t[89]) + D11[v, w, u]*(2*t[61] - 2*t[64] + (7*t[65])/3 + 
       (7*t[66])/3 + t[84] + t[89]) + B9[v, w, u]*HPL[{1}, 1 - u]*
      (t[7]/2 + t[8]/2 - (3*t[10])/2 - (5*t[13])/3 + (5*t[14])/12 + t[16] - 
       t[46] - (3*t[51])/4 - t[61] - 2*t[62] + (17*t[63])/2 + t[64]/2 + 
       (10*t[66])/3 + 2*t[74] + 2*t[79] + 2*t[86] + t[89]) + 
     B11[u, v, w]*HPL[{1}, 1 - u]*(t[7] + t[8] + t[10] + t[11] - 
       (2*t[14])/3 - t[61] - 3*t[62] - t[63] + 3*t[64] + (4*t[65])/3 + 
       4*t[86] + t[89]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*(t[4] - t[7]/2 - t[8]/2 - (3*t[10])/4 - 
       (11*t[12])/4 + (7*t[13])/6 - (25*t[14])/24 + (5*t[15])/12 + 
       (3*t[49])/4 + t[51]/8 - (3*t[53])/4 + 4*t[60] - t[61] + (5*t[62])/2 - 
       (5*t[63])/2 - t[64] - (2*t[65])/3 + (5*t[66])/3 - 2*t[69] + t[70] - 
       t[71] - (5*t[83])/2 - 2*t[86] - 3*t[87] - (3*t[88])/2 + t[89]) + 
     D25[u, w, v]*(-t[3] - (7*t[5])/4 + (3*t[6])/4 + t[7] + 3*t[8] + 
       (11*t[9])/4 - 5*t[10] + (5*t[11])/4 + t[12]/4 + (17*t[14])/2 - 
       t[15]/8 - t[16] + 2*t[25] - 2*t[26] - 2*t[36] - 2*t[46] + 
       (3*t[48])/4 - (5*t[50])/4 - (11*t[51])/2 + (5*t[52])/4 + (5*t[54])/4 + 
       (7*t[60])/2 + 2*t[61] + (3*t[62])/4 + (53*t[63])/4 - 2*t[64] + 
       (7*t[65])/3 - t[66] + t[67] + 2*t[74] + t[81] - t[82] + t[84] + 
       t[85]/2 - (5*t[87])/2 - (5*t[88])/4 + t[89]) + 
     D27[v, u, w]*(t[1] + t[4]/2 + t[6]/2 - (11*t[10])/4 + 2*t[11] - 
       (7*t[12])/4 + (17*t[13])/6 + t[14]/8 - t[15]/4 + t[38] - (9*t[49])/4 + 
       t[51]/8 - (11*t[53])/4 - t[54]/2 - t[59]/2 + (11*t[60])/2 - 2*t[61] - 
       (5*t[62])/4 - (19*t[63])/4 + (7*t[64])/4 - (5*t[65])/2 - 
       (11*t[66])/6 + (3*t[84])/2 + t[85]/2 - t[87]/2 - t[88]/4 + 
       (5*t[89])/4) + B8[w, u, v]*HPL[{1}, 1 - v]*(t[2] - (3*t[3])/4 + t[4] + 
       (5*t[6])/4 - (3*t[7])/4 - t[8]/4 + (3*t[9])/4 + (29*t[10])/4 - 
       (9*t[11])/4 - (3*t[12])/4 - (41*t[13])/72 + 4*t[14] + (5*t[15])/12 + 
       t[20] + t[21] - t[23] + t[28] + t[31] - t[35] + t[39] - t[40] + 
       t[41]/2 - t[42]/2 + t[45] - 2*t[47] + t[48]/4 - t[50]/4 + 
       (5*t[52])/4 + t[54]/4 + 6*t[60] + (7*t[61])/2 + t[62]/4 - t[63]/4 - 
       (23*t[64])/2 - (13*t[65])/12 - (29*t[66])/12 + t[75] + t[77] + t[78] - 
       2*t[80] + t[81]/2 - t[82]/2 - t[83] + (3*t[84])/4 - 6*t[86] - 
       (7*t[87])/2 - (7*t[88])/4 + (3*t[89])/2) + 
     D33[u, v, w]*(t[1]/2 - (5*t[3])/4 + t[4] + (9*t[5])/8 + (5*t[6])/4 + 
       (5*t[7])/4 + (19*t[8])/4 - (5*t[9])/8 + (5*t[10])/4 - (5*t[11])/4 - 
       (37*t[12])/8 - (25*t[13])/24 + (49*t[14])/24 + (55*t[15])/48 - t[40] + 
       (3*t[48])/2 + (3*t[49])/2 - t[50]/2 - (3*t[51])/4 + t[52]/2 - 
       (3*t[53])/2 - t[54]/2 + t[59]/2 + (5*t[60])/2 + (7*t[61])/2 - 
       3*t[62] - 2*t[63] - 2*t[64] + 2*t[65] + (5*t[66])/6 + t[77] - 
       t[82]/2 + 2*t[89]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      (-t[1]/4 + (29*t[2])/4 - (19*t[3])/4 - (13*t[4])/8 + (9*t[5])/8 - 
       (81*t[6])/16 + (17*t[7])/2 - 2*t[8] + (11*t[9])/8 + (89*t[10])/16 + 
       (253*t[11])/16 - (67*t[12])/16 + (137*t[13])/36 + (445*t[14])/32 + 
       5*t[15] + t[17]/2 - t[18] - 2*t[21] + t[23] - (5*t[24])/2 - 8*t[31] + 
       (5*t[41])/4 - (3*t[42])/4 + (7*t[43])/2 + t[45] + t[46]/4 + 
       (99*t[48])/16 - (9*t[49])/16 + (99*t[50])/16 + (3*t[51])/32 - 
       (99*t[52])/16 + (9*t[53])/16 + (23*t[54])/16 + t[59] - 4*t[60] + 
       21*t[61] - 9*t[62] + 5*t[63] + 17*t[64] + (26*t[65])/3 - 
       (40*t[66])/3 - 8*t[69] + 4*t[80] + 4*t[84] - 4*t[85] + 4*t[86] + 
       4*t[87] + 2*t[88] + 2*t[89]) + HPL[{1}, 1 - u]*Phi6[u, v, w]^2*
      (-t[3]/2 - t[4] + (3*t[5])/16 + (17*t[6])/16 - (9*t[7])/8 - 
       (9*t[8])/8 + (5*t[9])/16 + (11*t[10])/8 - (21*t[11])/16 + 
       (7*t[12])/16 + (41*t[13])/72 - (37*t[14])/48 + (95*t[15])/96 + 
       t[28]/2 + t[31]/2 - t[35]/2 + t[39]/2 - t[40]/2 + t[45]/2 + t[46]/4 - 
       t[47] + (5*t[48])/16 - t[49] - (3*t[50])/16 + (7*t[51])/16 + 
       (3*t[52])/16 + t[53] + (3*t[54])/16 - t[60]/8 + (5*t[61])/8 + 
       (85*t[62])/16 - (17*t[63])/16 - (61*t[64])/16 + (23*t[65])/12 + 
       (7*t[66])/6 + t[74]/2 + t[75]/2 + t[77]/2 + t[78]/2 + t[79]/2 - 
       t[80] + t[81]/4 - t[82]/4 - (3*t[83])/2 + t[84]/2 - t[85]/8 - 
       (15*t[86])/2 - (3*t[87])/8 - (3*t[88])/16 + (33*t[89])/16) + 
     D27[v, w, u]*(t[59]/2 - t[60]/2 + 2*t[61] + (5*t[62])/4 + (19*t[63])/4 - 
       (33*t[64])/4 + (11*t[65])/2 + (49*t[66])/6 + (7*t[84])/2 + 
       (5*t[85])/2 - (5*t[87])/2 - (5*t[88])/4 + (9*t[89])/4) + 
     HPL[{1}, 1 - v]^2*Qep[v, w, u]*((16*t[1])/3 - 64*t[4] - 4*t[5] - 
       2*t[6] - (4*t[7])/3 - (4*t[8])/3 + 4*t[9] - 24*t[10] - (38*t[11])/3 - 
       (32*t[12])/3 + 12*t[13] - (206*t[14])/9 + 14*t[15] - (16*t[26])/3 + 
       (16*t[37])/3 + (16*t[38])/3 + 8*t[46] - 2*t[48] - (8*t[49])/3 - 
       2*t[50] + (22*t[51])/3 + 2*t[52] + (64*t[53])/3 + 22*t[54] - 8*t[59] - 
       (100*t[60])/3 - (40*t[61])/3 + 50*t[62] - (38*t[63])/3 + 
       (340*t[64])/3 + 36*t[65] + 28*t[66] - (64*t[69])/3 + (32*t[70])/3 - 
       (32*t[71])/3 - (16*t[73])/3 - (16*t[74])/3 + (80*t[75])/3 - 
       (16*t[79])/3 + (8*t[81])/3 - (8*t[82])/3 - 32*t[83] - 20*t[84] - 
       16*t[85] - (16*t[86])/3 + 20*t[87] + 10*t[88] + (14*t[89])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*(5*t[1] + (175*t[4])/4 - 
       (135*t[10])/8 + 20*t[11] - (175*t[12])/8 + (385*t[13])/12 - 
       (95*t[14])/48 - (95*t[15])/24 - 5*t[26] + (5*t[37])/2 + 5*t[38] - 
       (5*t[46])/2 - (45*t[49])/8 + (15*t[51])/16 - (135*t[53])/8 - 
       (45*t[54])/4 + (13*t[59])/3 + (195*t[60])/4 - (65*t[61])/4 - 
       (95*t[62])/8 - (405*t[63])/8 - (175*t[64])/8 - (235*t[65])/12 - 
       (785*t[66])/12 + (45*t[84])/4 + (45*t[85])/4 - (115*t[87])/4 - 
       (115*t[88])/8 + (65*t[89])/8) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*((37*t[60])/2 + t[61] - (31*t[62])/2 + 
       (31*t[63])/2 - (5*t[64])/2 + (131*t[65])/6 + t[85] - t[87] - t[88]/2 + 
       (23*t[89])/2) + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*
      (16*t[1] - 30*t[4] + 15*t[7] + 15*t[8] - (45*t[10])/2 - (105*t[12])/2 + 
       (55*t[13])/3 - (655*t[14])/12 + (5*t[15])/2 - 120*t[37] - 
       (15*t[49])/2 + (15*t[51])/4 + (15*t[53])/2 - 61*t[59] - 100*t[60] - 
       30*t[61] - 70*t[62] - 30*t[63] + 195*t[64] + (190*t[65])/3 + 
       (10*t[66])/3 - 60*t[69] + 30*t[70] - 30*t[71] - 15*t[83] + 60*t[86] + 
       15*t[89]) + HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - v]*
      (16*t[2] - 10*t[6] - 48*t[7] + 48*t[8] - 10*t[9] - 28*t[10] + 
       20*t[11] + 16*t[12] + (56*t[13])/3 + (226*t[14])/3 - 20*t[15] - 
       16*t[23] - 16*t[40] + 8*t[41] - 8*t[42] - 16*t[49] + 8*t[51] + 
       32*t[52] + 16*t[53] + 160*t[60] + 32*t[61] - 64*t[62] - 64*t[63] - 
       48*t[64] - 60*t[65] + 40*t[66] + 16*t[77] + 16*t[84] - 32*t[87] - 
       16*t[88] + 16*t[89]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      ((-15*t[1])/2 - 3*t[3] + 154*t[4] + 6*t[5] + (9*t[6])/2 - 5*t[7] + 
       t[8] - 3*t[9] + 37*t[10] + (77*t[11])/2 - (101*t[12])/2 + 
       (7*t[13])/2 + 37*t[14] - (79*t[15])/3 + 6*t[16] + 6*t[25] + 12*t[36] - 
       22*t[37] - 7*t[38] - 2*t[46] + (9*t[48])/2 + 12*t[49] - (3*t[50])/2 - 
       (63*t[51])/2 + (3*t[52])/2 - 60*t[53] - (93*t[54])/2 - 5*t[59] + 
       181*t[60] + 6*t[61] - (129*t[62])/2 + (39*t[63])/2 - (407*t[64])/2 - 
       (382*t[65])/3 - 121*t[66] + 20*t[69] - 4*t[70] + 4*t[71] + 20*t[74] - 
       12*t[75] + 32*t[79] + 20*t[83] + 41*t[84] + 45*t[85] - 32*t[86] - 
       107*t[87] - (133*t[88])/2 + (45*t[89])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*(4*t[1] + 35*t[4] - 
       (103*t[10])/2 + 35*t[11] - (5*t[12])/2 + (122*t[13])/3 - 
       (247*t[14])/8 - (11*t[15])/6 - 4*t[26] - 6*t[37] + 4*t[38] + 7*t[46] - 
       20*t[49] + (19*t[51])/8 - t[53] - (37*t[54])/2 - (25*t[59])/6 + 
       62*t[60] - (75*t[61])/2 + (63*t[62])/4 - (415*t[63])/4 + 
       (21*t[64])/4 - t[65]/6 - (163*t[66])/6 - 6*t[76] + (37*t[84])/2 + 
       (37*t[85])/2 - 20*t[87] - 13*t[88] + (89*t[89])/2) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - v]*(48*t[2] - 33*t[6] - 144*t[7] + 
       144*t[8] - 33*t[9] - 62*t[10] + 50*t[11] + 48*t[12] + 56*t[13] + 
       223*t[14] - 62*t[15] - 48*t[23] - 48*t[40] + 24*t[41] - 24*t[42] - 
       48*t[49] + 24*t[51] + 96*t[52] + 48*t[53] + 480*t[60] + 96*t[61] - 
       192*t[62] - 192*t[63] - 144*t[64] - 182*t[65] + (388*t[66])/3 + 
       48*t[77] + 48*t[84] - 96*t[87] - 48*t[88] + 48*t[89]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - u]*(4*t[1] + 10*t[4] - 
       3*t[9] - 25*t[10] + 2*t[11] - (31*t[12])/2 + 27*t[13] - 
       (399*t[14])/8 + (83*t[15])/6 - 4*t[26] + 4*t[38] + t[46]/2 + 2*t[49] + 
       (15*t[51])/8 - (5*t[53])/2 - (53*t[54])/2 - 2*t[59] + 18*t[60] - 
       (43*t[61])/2 + (233*t[62])/4 - (259*t[63])/4 + (119*t[64])/4 + 
       (343*t[65])/6 + (175*t[66])/2 - 6*t[76] + (37*t[84])/2 + 
       (37*t[85])/2 - 20*t[87] - 13*t[88] + 69*t[89]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*
      ((15*t[4])/4 - (365*t[10])/8 + (5*t[11])/2 + (15*t[12])/8 + 
       (475*t[13])/12 - (3685*t[14])/48 + (635*t[15])/24 + (5*t[49])/8 + 
       (205*t[51])/16 - (5*t[53])/8 - (45*t[54])/4 + (25*t[60])/4 - 
       (205*t[61])/4 + (735*t[62])/8 - (695*t[63])/8 + (615*t[64])/8 + 
       (255*t[65])/4 + (405*t[66])/4 + (45*t[84])/4 + (45*t[85])/4 - 
       (115*t[87])/4 - (115*t[88])/8 + (615*t[89])/8) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - v]*(80*t[2] - 80*t[6] - 240*t[7] + 
       240*t[8] - 80*t[9] - 160*t[10] + 80*t[11] + 80*t[12] + (280*t[13])/3 + 
       (1264*t[14])/3 - 120*t[15] - 80*t[23] - 80*t[40] + 40*t[41] - 
       40*t[42] - 80*t[49] + 40*t[51] + 160*t[52] + 80*t[53] + 928*t[60] + 
       160*t[61] - 320*t[62] - 320*t[63] - 240*t[64] - (1216*t[65])/3 + 
       (880*t[66])/3 + 80*t[77] + 80*t[84] - 160*t[87] - 80*t[88] + 
       80*t[89]) + D25[w, u, v]*((-3*t[60])/2 - t[62]/4 + (13*t[63])/4 + 
       (5*t[66])/3 - t[68] + t[81] - t[82] - (3*t[85])/2 + (3*t[87])/2 + 
       (3*t[88])/4 + t[90]) + HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-5*t[59])/4 - (21*t[60])/8 - (37*t[61])/8 - (451*t[62])/16 - 
       (293*t[63])/16 + (629*t[64])/16 - (101*t[65])/8 - (743*t[66])/24 + 
       2*t[74] + 3*t[76] + 6*t[78] + 2*t[81] + (3*t[82])/2 - (101*t[84])/8 - 
       (69*t[85])/8 + (179*t[87])/8 + (131*t[88])/16 + (129*t[89])/16 - 
       4*t[95]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((9*t[59])/2 - (49*t[60])/4 + (69*t[61])/4 + 3*t[62] + (307*t[63])/4 + 
       (701*t[64])/8 - (278*t[65])/3 + (31*t[66])/6 - 14*t[69] - 2*t[70] + 
       2*t[71] - 14*t[72] - 27*t[74] + 53*t[76] + 51*t[78] - 8*t[80] - 
       2*t[81] - 21*t[82] + 7*t[83] + (23*t[84])/2 - 19*t[85] - 55*t[87] - 
       (67*t[88])/2 + (191*t[89])/4 + t[91]/3 - 2*t[95]) + 
     D30[w, u, v]*t[95] + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((3*t[1])/2 + (9*t[3])/2 + (57*t[4])/8 + (99*t[5])/16 - (9*t[6])/16 - 
       6*t[7] - 15*t[8] - (147*t[9])/16 + (345*t[10])/8 + (39*t[11])/16 - 
       (117*t[12])/16 - (291*t[13])/8 + (845*t[14])/32 - (115*t[15])/32 - 
       3*t[16] - 6*t[25] + (9*t[26])/2 + (3*t[36])/2 + (3*t[38])/2 + 
       (57*t[46])/2 - (33*t[48])/16 - 9*t[49] + (63*t[50])/16 - 
       (669*t[51])/32 - (63*t[52])/16 - (21*t[53])/4 + (99*t[54])/16 - 
       (3*t[59])/4 - (231*t[60])/8 - (33*t[61])/8 - (81*t[62])/4 - 
       (99*t[63])/4 - (1317*t[64])/16 - (551*t[65])/24 - (145*t[66])/8 + 
       12*t[73] - (15*t[74])/2 - 6*t[79] - (21*t[81])/4 + (21*t[82])/4 - 
       18*t[83] - (81*t[84])/8 - 12*t[85] - 6*t[86] + (15*t[87])/4 + 
       (15*t[88])/8 - 42*t[89] + 3*t[95]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((3*t[1])/2 + (3*t[3])/4 - (87*t[4])/8 - 
       (15*t[5])/4 + (9*t[6])/8 + (3*t[7])/4 - (3*t[8])/4 + (3*t[9])/2 - 
       (15*t[10])/8 - (57*t[11])/4 + (61*t[12])/2 - (33*t[13])/8 - 
       (267*t[14])/32 - (29*t[15])/8 - (9*t[16])/4 + (9*t[25])/2 - 
       (9*t[26])/2 - 9*t[36] - 6*t[37] - (3*t[38])/2 - 24*t[46] + 
       (21*t[48])/8 - (3*t[49])/4 - (15*t[50])/8 + (1131*t[51])/32 + 
       (15*t[52])/8 + 21*t[53] + 12*t[54] + (7*t[59])/4 - (225*t[60])/4 + 
       (113*t[61])/4 - (261*t[62])/16 + (765*t[63])/16 + 66*t[64] + 
       (23*t[65])/8 - (977*t[66])/24 - (3*t[67])/4 + 18*t[69] - 6*t[70] + 
       5*t[71] + 12*t[73] + 3*t[74] - 6*t[79] - 15*t[83] - (51*t[84])/8 - 
       (87*t[85])/8 + 6*t[86] + (177*t[87])/8 + (177*t[88])/16 - 
       (573*t[89])/16 + 3*t[95]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*(t[1]/2 - (141*t[4])/8 - (9*t[5])/4 - 
       (3*t[6])/2 + (3*t[7])/2 + (3*t[8])/2 + (9*t[9])/4 + (63*t[10])/4 - 
       (137*t[11])/8 - (37*t[13])/4 + (163*t[14])/24 - (7*t[15])/4 - 
       t[26]/2 + 4*t[36] + t[38]/2 + (3*t[46])/2 - (3*t[48])/2 - 
       (9*t[49])/4 - (3*t[50])/2 - (51*t[51])/8 + (3*t[52])/2 + (9*t[53])/4 - 
       (11*t[54])/8 - t[59]/4 - (75*t[60])/4 + (83*t[61])/4 + (49*t[62])/4 + 
       19*t[63] - (5*t[64])/2 + (373*t[65])/8 + (713*t[66])/24 - 3*t[69] - 
       4*t[74] + 12*t[75] + 2*t[81] - 2*t[82] - (27*t[83])/2 + (23*t[84])/8 + 
       (47*t[85])/8 + 6*t[86] + (305*t[87])/8 + (253*t[88])/16 + 
       (113*t[89])/8 + 8*t[95]) + D26[u, v, w]*((-11*t[60])/2 + (3*t[61])/2 - 
       (3*t[62])/4 - (5*t[63])/4 + (19*t[64])/4 - (37*t[65])/6 - 
       (7*t[66])/6 - t[76] - t[78] - t[81] + 2*t[82] - t[84]/2 - 
       (3*t[85])/2 + (7*t[87])/2 + (7*t[88])/4 + t[89]/4 + 2*t[96]) + 
     D34[v, w, u]*(-t[1]/2 - (3*t[2])/2 + (3*t[3])/2 + t[4]/4 + 3*t[5] - 
       (15*t[6])/4 - 3*t[7] - 3*t[8] - 7*t[9] + (7*t[10])/8 + (7*t[11])/4 - 
       t[12]/8 + (7*t[13])/12 - (59*t[14])/48 + (19*t[15])/24 + t[40] - 
       (5*t[48])/4 + t[49]/8 - (9*t[50])/4 + (7*t[51])/16 + t[52]/4 - 
       (9*t[53])/8 - t[54] + t[59] + t[60]/4 + (15*t[61])/4 - (33*t[62])/8 + 
       (17*t[63])/8 + (61*t[64])/8 - (73*t[65])/12 - (53*t[66])/12 - 
       (21*t[84])/4 - (13*t[85])/4 + (11*t[87])/4 + (7*t[88])/8 - 
       (25*t[89])/8 + t[97]) + D34[u, v, w]*((-3*t[2])/2 + t[3]/2 + 
       (5*t[4])/4 + 3*t[5] - (11*t[6])/4 - t[7]/2 - (3*t[8])/2 - 4*t[9] + 
       (33*t[10])/8 + t[11]/4 - (23*t[12])/8 - t[13]/12 + t[14]/16 + 
       (11*t[15])/8 - (5*t[48])/4 + (7*t[49])/8 - (9*t[50])/4 - 
       (7*t[51])/16 + t[52]/4 - (15*t[53])/8 - t[54] + t[59]/2 + 
       (3*t[60])/4 + (31*t[61])/4 - (59*t[62])/8 + (3*t[63])/8 + 
       (35*t[64])/8 - (17*t[65])/12 - (25*t[66])/12 + t[77] - (17*t[84])/4 - 
       (13*t[85])/4 + (11*t[87])/4 + (7*t[88])/8 - (19*t[89])/8 + t[97]) + 
     D27[u, w, v]*((3*t[1])/2 - t[2]/2 - (5*t[3])/2 - t[4]/2 + t[5]/4 + 
       3*t[6] - (5*t[7])/2 + (17*t[8])/2 + (3*t[9])/4 + (25*t[10])/4 + 
       (9*t[11])/2 + 3*t[12] + (19*t[13])/12 + (91*t[14])/24 + (3*t[15])/8 - 
       t[34] + t[38] + t[41]/2 - t[42]/2 + t[48] - (3*t[49])/4 - t[50] - 
       (5*t[51])/8 + 2*t[52] + (3*t[53])/4 - t[54]/2 + (7*t[60])/2 + 
       5*t[61] - 7*t[62] - 7*t[63] + (5*t[64])/4 + (8*t[65])/3 - 
       (11*t[66])/2 + (5*t[89])/4 + t[97]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*(t[1]/2 + 16*t[2] - 3*t[3] + (21*t[4])/2 + 
       (17*t[5])/4 - (39*t[6])/4 + 11*t[7] + 7*t[8] - (51*t[9])/4 - 
       (71*t[10])/4 - (5*t[11])/4 - 24*t[12] - (145*t[13])/6 + 
       (71*t[14])/24 - (5*t[15])/8 - 2*t[23] + 2*t[32] - t[34] - 4*t[40] - 
       t[41] + t[42] + 6*t[45] - 6*t[47] + (23*t[48])/4 + (91*t[49])/4 + 
       (3*t[50])/4 - (91*t[51])/8 + (25*t[52])/4 - (91*t[53])/4 - 
       (37*t[54])/4 - (19*t[59])/2 - (13*t[60])/2 + 22*t[61] + 4*t[62] + 
       40*t[63] + (23*t[64])/2 - 66*t[65] + t[66]/6 - 2*t[77] - 9*t[78] - 
       6*t[80] - 3*t[81] - (37*t[84])/2 - 8*t[85] - 4*t[87] - 13*t[88] - 
       t[89] + 6*t[96] + t[97]) + HPL[{0, 1}, 1 - v]*Qep[v, w, u]*
      ((80*t[1])/3 + 8*t[2] + (32*t[3])/3 - (322*t[4])/3 - 4*t[5] - 24*t[6] + 
       (16*t[7])/3 - 96*t[8] + (268*t[9])/3 - 65*t[10] - (488*t[11])/3 - 
       (223*t[12])/3 - (2242*t[13])/27 - (2005*t[14])/18 + (49*t[15])/27 - 
       (64*t[25])/3 - (32*t[26])/3 + (32*t[28])/3 + (32*t[30])/3 + 
       (32*t[31])/3 - (64*t[35])/3 + (32*t[36])/3 + 32*t[37] + 32*t[38] + 
       (16*t[43])/3 + (32*t[44])/3 + (32*t[45])/3 + (32*t[46])/3 - 
       (64*t[47])/3 + 24*t[48] + (131*t[49])/3 + (40*t[50])/3 + 
       (53*t[51])/6 + 8*t[52] + (61*t[53])/3 + 42*t[54] - (80*t[59])/3 - 
       78*t[60] - 402*t[61] + (911*t[62])/3 + 107*t[63] - (175*t[64])/3 - 
       (302*t[65])/9 + (1006*t[66])/9 - (64*t[69])/3 - 64*t[72] - 
       (64*t[74])/3 + (128*t[76])/3 + (32*t[78])/3 + (128*t[79])/3 - 
       (128*t[80])/3 + (64*t[81])/3 + (32*t[82])/3 - (32*t[83])/3 - 
       (166*t[84])/3 + (154*t[85])/3 - (320*t[86])/3 + (38*t[87])/3 - 
       (269*t[88])/3 + (65*t[89])/3 + (64*t[95])/3 + (64*t[96])/3 - 
       (32*t[97])/3 + 384*t[98] - 256*t[99]) + HPL[{0, 1}, 1 - v]*M1[w, v, u]*
      ((-13*t[1])/12 + t[2]/6 + t[3]/12 + (31*t[4])/24 + (19*t[5])/12 - 
       (3*t[6])/2 + (5*t[7])/6 - (17*t[8])/6 + (11*t[9])/3 - (275*t[10])/48 - 
       (19*t[11])/6 - (115*t[12])/48 + (73*t[13])/54 - (553*t[14])/288 - 
       (119*t[15])/144 + t[25] - t[26]/6 - t[27]/3 + t[30] + (4*t[31])/3 - 
       t[34]/6 + (4*t[37])/3 - (5*t[38])/6 + t[40]/6 + t[41]/12 - t[42]/12 + 
       t[43]/2 + t[44] + t[45]/3 - t[46] - (2*t[47])/3 + t[48] + 
       (251*t[49])/48 - (5*t[50])/6 - (191*t[51])/96 + (4*t[52])/3 - 
       (91*t[53])/48 - (15*t[54])/8 - t[58]/6 + t[59]/6 + (89*t[60])/24 - 
       (197*t[61])/24 + (445*t[62])/48 + (131*t[63])/48 - (143*t[64])/16 - 
       (91*t[65])/24 - (331*t[66])/72 - t[69] - t[70]/3 + t[71]/3 - 3*t[72] + 
       (13*t[76])/3 - t[77]/3 - (13*t[78])/3 + (5*t[81])/3 + (5*t[82])/6 - 
       (4*t[83])/3 + (5*t[84])/8 + (143*t[85])/24 - 4*t[86] - 
       (175*t[87])/24 - (157*t[88])/16 + (81*t[89])/16 + (7*t[96])/3 + 
       28*t[98] - 24*t[99]) + HPL[{0, 1}, 1 - v]*Nt[u, v, w]*
      ((2*t[1])/3 - (7*t[2])/12 - t[3]/6 - (11*t[4])/6 + (61*t[5])/48 - 
       (31*t[6])/16 - (7*t[7])/6 + t[8]/6 - (25*t[9])/48 + (313*t[10])/48 - 
       (137*t[11])/48 - (43*t[12])/12 - (277*t[13])/108 + (787*t[14])/144 - 
       (253*t[15])/288 - (2*t[26])/3 - t[27]/3 + t[31]/3 - t[34]/6 + 
       t[36]/2 - t[37]/6 + (2*t[38])/3 + t[40]/6 + t[41]/12 - t[42]/12 - 
       t[45]/6 - t[46] + t[47]/3 - (11*t[48])/16 + (221*t[49])/48 - 
       (73*t[50])/48 - (29*t[51])/24 + (49*t[52])/48 - (121*t[53])/48 + 
       (27*t[54])/16 - t[58]/6 - t[59]/12 - (77*t[60])/12 + (163*t[61])/24 - 
       (281*t[62])/48 + (785*t[63])/48 - (11*t[64])/16 - (59*t[65])/12 - 
       (151*t[66])/18 - t[70]/3 + t[71]/3 - t[74]/2 + (17*t[76])/6 + 
       t[77]/6 - (10*t[78])/3 + 2*t[80] + (23*t[81])/12 - (5*t[82])/12 + 
       (2*t[83])/3 - (15*t[84])/4 - (31*t[85])/24 - t[86] - (91*t[87])/24 - 
       (57*t[88])/16 - (23*t[89])/4 + t[95] + (4*t[96])/3 + t[97]/2 + 
       16*t[98] - 18*t[99]) + HPL[{0, 1}, 1 - u]*Nt[u, v, w]*
      (-t[1]/3 - (7*t[2])/12 + t[3]/6 - (17*t[4])/6 + (31*t[5])/16 - 
       (173*t[6])/48 + t[7]/2 - (7*t[8])/2 - (19*t[9])/16 - (85*t[10])/48 + 
       (115*t[11])/48 + (61*t[12])/24 + (29*t[13])/18 - (397*t[14])/144 + 
       (23*t[15])/32 - t[25]/3 + (2*t[26])/3 + t[27]/3 - t[31]/3 - t[34]/6 + 
       t[36]/2 + (5*t[37])/6 - t[38]/3 - t[39]/3 + t[40]/6 + t[41]/12 - 
       t[42]/12 - t[45]/6 + (2*t[46])/3 + t[47]/3 - (11*t[48])/16 + 
       (5*t[49])/16 - (3*t[50])/16 + (7*t[51])/12 - (5*t[52])/16 + 
       (23*t[53])/16 + (27*t[54])/16 - t[58]/6 + (5*t[59])/12 - 
       (31*t[60])/6 - (113*t[61])/24 - (37*t[62])/48 + (53*t[63])/48 + 
       (395*t[64])/48 - (151*t[65])/36 - (91*t[66])/18 - t[70]/3 + t[71]/3 + 
       (2*t[72])/3 - t[74]/2 + (19*t[76])/6 - t[77]/6 - (13*t[78])/3 + 
       (2*t[80])/3 + (5*t[81])/4 - t[82]/12 + (2*t[83])/3 - (49*t[84])/12 - 
       (47*t[85])/24 - t[86] - (67*t[87])/24 - (49*t[88])/16 - 
       (55*t[89])/24 + t[95] + (4*t[96])/3 + t[97]/2 + 16*t[98] - 18*t[99]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((3*t[1])/16 - (9*t[2])/32 - t[3]/8 + (1597*t[4])/384 - t[5]/24 + 
       t[6]/8 - (85*t[7])/96 + (65*t[8])/96 - (13*t[9])/12 + 
       (2335*t[10])/768 + (155*t[11])/96 - (2321*t[12])/768 + 
       (2927*t[13])/1152 + (5773*t[14])/4608 - (917*t[15])/2304 + t[25]/4 - 
       (3*t[26])/8 + t[28]/8 - (3*t[30])/8 - (3*t[31])/8 - t[35]/4 + 
       t[36]/4 - (3*t[37])/8 + t[38]/8 - (3*t[43])/16 - (3*t[44])/8 - 
       t[45]/8 - (3*t[46])/8 + t[47]/4 + t[48]/16 + (313*t[49])/768 - 
       (5*t[50])/16 - (471*t[51])/512 + t[52]/16 - (1081*t[53])/768 - 
       (353*t[54])/128 + t[59]/16 + (1609*t[60])/384 + (549*t[61])/128 + 
       (929*t[62])/768 - (3313*t[63])/768 + (995*t[64])/768 + 
       (6623*t[65])/1152 + (6065*t[66])/1152 + (3*t[72])/4 - (3*t[73])/8 - 
       (3*t[75])/8 - t[76]/4 + t[77]/4 + (5*t[78])/8 + (11*t[79])/8 + 
       t[80]/4 + t[82]/8 + (7*t[83])/24 + (401*t[84])/128 + (177*t[85])/128 - 
       (13*t[86])/24 + (569*t[87])/384 + (1433*t[88])/768 + (889*t[89])/256 - 
       t[95]/4 - t[96]/4 + t[97]/8 - (3*t[98])/2 - (3*t[99])/2) + 
     HPL[{0, 1}, 1 - v]*Qep[w, v, u]*((560*t[1])/9 + (248*t[2])/9 - 
       (848*t[3])/9 + (848*t[4])/9 - (1376*t[5])/9 + (872*t[6])/3 + 
       (160*t[7])/9 + (2048*t[8])/9 + (632*t[9])/9 + (832*t[10])/9 + 
       (1216*t[11])/9 + (248*t[12])/9 + (2384*t[13])/81 + (400*t[14])/27 + 
       (212*t[15])/27 - (224*t[26])/9 + (128*t[27])/9 + 32*t[28] + 
       (64*t[30])/3 - (128*t[31])/9 - (32*t[34])/9 - 64*t[35] - 32*t[36] - 
       (128*t[37])/9 + (320*t[38])/9 - (256*t[40])/9 + (16*t[41])/9 - 
       (16*t[42])/9 + (32*t[43])/3 - 32*t[44] + (64*t[45])/9 + (16*t[46])/3 - 
       (128*t[47])/9 + 88*t[48] - (1216*t[49])/9 + (632*t[50])/9 + 
       (224*t[51])/9 + (40*t[52])/9 + (632*t[53])/9 - (320*t[54])/3 + 
       (160*t[58])/9 - (208*t[59])/9 + (1456*t[60])/9 + (536*t[61])/9 + 
       (1696*t[62])/9 - (5392*t[63])/9 - (460*t[64])/3 + (2416*t[65])/9 + 
       (1648*t[66])/27 + (64*t[69])/3 - (64*t[70])/9 + (64*t[71])/9 + 
       (64*t[72])/3 + (160*t[73])/3 - (160*t[75])/3 - (1376*t[76])/9 + 
       (224*t[77])/9 + (1184*t[78])/9 + 128*t[79] - 128*t[80] - 
       (112*t[81])/9 - (368*t[82])/9 - (256*t[83])/9 + (544*t[84])/3 - 
       (248*t[85])/9 - (320*t[86])/3 + (3472*t[87])/9 + 264*t[88] + 
       (832*t[89])/3 - (128*t[95])/3 - (512*t[96])/9 - 32*t[97] - 
       (3200*t[98])/3 + 1152*t[99]) + HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - v]*
      (-396*t[1] - 306*t[2] + 546*t[3] + 1203*t[4] - 330*t[5] - 1011*t[6] - 
       132*t[7] - 2232*t[8] + 1026*t[9] - (207*t[10])/2 + 9123*t[11] + 
       (4461*t[12])/2 + 1803*t[13] + (7133*t[14])/4 + (889*t[15])/2 + 
       864*t[25] + 312*t[26] + 144*t[34] - 3696*t[36] - 72*t[37] - 
       180*t[38] + 1296*t[39] + 36*t[40] - 72*t[41] + 72*t[42] + 576*t[45] + 
       816*t[46] - 1152*t[47] - 69*t[48] - (2313*t[49])/2 - 93*t[50] - 
       (1923*t[51])/4 - 555*t[52] + (153*t[53])/2 - 1140*t[54] - 72*t[58] + 
       90*t[59] + 5847*t[60] + 7981*t[61] - (8155*t[62])/2 - (1293*t[63])/2 + 
       (9645*t[64])/2 - 7143*t[65] - 8587*t[66] - 288*t[68] + 288*t[70] - 
       288*t[71] + 3696*t[74] + 2316*t[76] + 216*t[77] - 3132*t[78] - 
       720*t[80] + 48*t[81] - 912*t[82] + 1323*t[84] + 279*t[85] - 
       1152*t[86] - 2439*t[87] + (225*t[88])/2 - (4731*t[89])/2 - 12*t[91] - 
       288*t[95] - 504*t[96] + 108*t[97] - 1728*t[98] + 5184*t[99] - 
       12096*t[100]) + HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u]*
      (198*t[1] - 576*t[2] - 1122*t[3] - 1449*t[4] + 1278*t[5] + 4059*t[6] + 
       1320*t[7] + 2916*t[8] - 1434*t[9] - (5097*t[10])/2 + 3537*t[11] + 
       (1395*t[12])/2 - 763*t[13] + (7489*t[14])/4 + (2527*t[15])/2 - 
       72*t[16] - 576*t[25] - 540*t[26] - 1296*t[27] - 180*t[34] - 
       288*t[36] - 720*t[37] + 216*t[38] - 336*t[39] - 36*t[40] + 90*t[41] - 
       90*t[42] - 768*t[46] + 1683*t[48] + (2613*t[49])/2 - 165*t[50] + 
       (1149*t[51])/4 - 159*t[52] - (2037*t[53])/2 - 2364*t[54] + 36*t[58] - 
       72*t[59] + 3981*t[60] + 12309*t[61] - (14427*t[62])/2 + 
       (3051*t[63])/2 - (7731*t[64])/2 + 1789*t[65] + 5233*t[66] + 
       1008*t[68] + 288*t[70] - 288*t[71] + 144*t[74] - 2052*t[76] + 
       288*t[77] + 2376*t[78] + 1224*t[80] - 948*t[81] + 768*t[82] + 
       651*t[84] - 2697*t[85] + 1305*t[87] + (3969*t[88])/2 - 
       (2721*t[89])/2 + 12*t[91] - 288*t[95] + 144*t[96] + 432*t[97] - 
       1728*t[98] + 5184*t[99] - 12096*t[100]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - v]*(-120*t[1] - 102*t[2] + 182*t[3] + 
       386*t[4] - 134*t[5] - 337*t[6] - 44*t[7] - 744*t[8] + 366*t[9] - 
       7*t[10] + 3153*t[11] + 769*t[12] + (1690*t[13])/3 + (2605*t[14])/4 + 
       (430*t[15])/3 + 288*t[25] + 92*t[26] + 48*t[34] - 1296*t[36] - 
       27*t[37] - 48*t[38] + 432*t[39] + 12*t[40] - 24*t[41] + 24*t[42] + 
       192*t[45] + 321*t[46] - 384*t[47] - 23*t[48] - 400*t[49] - 31*t[50] - 
       (799*t[51])/4 - 185*t[52] + 40*t[53] - 373*t[54] - 24*t[58] + 
       24*t[59] + 1934*t[60] + 2786*t[61] - (2859*t[62])/2 - (555*t[63])/2 + 
       (3321*t[64])/2 - 2498*t[65] - (8954*t[66])/3 - 96*t[68] + 96*t[70] - 
       96*t[71] + 1296*t[74] + 772*t[76] + 72*t[77] - 1044*t[78] - 
       240*t[80] + 16*t[81] - 304*t[82] + 434*t[84] + 86*t[85] - 384*t[86] - 
       801*t[87] + 45*t[88] - 836*t[89] - 4*t[91] - 96*t[95] - 168*t[96] + 
       36*t[97] - 576*t[98] + 1728*t[99] - 4032*t[100]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u]*(66*t[1] - 192*t[2] - 374*t[3] - 
       542*t[4] + 474*t[5] + 1377*t[6] + 440*t[7] + 972*t[8] - 526*t[9] - 
       894*t[10] + 1125*t[11] + 206*t[12] - (866*t[13])/3 + (7325*t[14])/12 + 
       445*t[15] - 24*t[16] - 192*t[25] - 180*t[26] - 432*t[27] - 60*t[34] - 
       96*t[36] - 240*t[37] + 72*t[38] - 112*t[39] - 12*t[40] + 30*t[41] - 
       30*t[42] - 288*t[46] + 585*t[48] + 445*t[49] - 31*t[50] + 
       (475*t[51])/4 - 77*t[52] - 349*t[53] - 805*t[54] + 12*t[58] - 
       24*t[59] + 1267*t[60] + 4131*t[61] - (4823*t[62])/2 + (1273*t[63])/2 - 
       (2615*t[64])/2 + (1969*t[65])/3 + 1976*t[66] + 336*t[68] + 96*t[70] - 
       96*t[71] + 48*t[74] - 684*t[76] + 96*t[77] + 792*t[78] + 408*t[80] - 
       348*t[81] + 288*t[82] + 210*t[84] - 954*t[85] + 495*t[87] + 
       693*t[88] - 475*t[89] + 4*t[91] - 96*t[95] + 48*t[96] + 144*t[97] - 
       576*t[98] + 1728*t[99] - 4032*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - v]*((-75*t[1])/2 - 45*t[2] + 
       (107*t[3])/2 + (335*t[4])/2 - (425*t[5])/8 - (455*t[6])/4 + t[7]/2 - 
       (525*t[8])/2 + (1413*t[9])/8 + (749*t[10])/8 + (5295*t[11])/4 + 
       (527*t[12])/2 + (477*t[13])/2 + (1959*t[14])/4 + (3413*t[15])/48 + 
       129*t[25] + 46*t[26] - 6*t[27] + 18*t[34] - 543*t[36] - 9*t[37] - 
       14*t[38] + 195*t[39] + 27*t[40] - 9*t[41] + 9*t[42] + 99*t[45] + 
       (237*t[46])/2 - 198*t[47] + (77*t[48])/4 - (859*t[49])/8 - 
       (143*t[50])/4 - (419*t[51])/4 - (217*t[52])/4 - (89*t[53])/8 - 
       (575*t[54])/4 - 12*t[58] + 15*t[59] + (3529*t[60])/4 + 
       (5387*t[61])/4 - (2621*t[62])/4 + (591*t[63])/4 + (4119*t[64])/8 - 
       (2381*t[65])/2 - (4567*t[66])/3 - 45*t[68] + 30*t[70] - 30*t[71] + 
       543*t[74] + 308*t[76] + 9*t[77] - 372*t[78] - 114*t[80] + 23*t[81] - 
       152*t[82] + 193*t[84] + 43*t[85] - 198*t[86] - (1005*t[87])/2 - 
       (453*t[88])/4 - (1567*t[89])/4 - 2*t[91] - 30*t[95] - 48*t[96] + 
       18*t[97] - 72*t[98] + 684*t[99] - 2214*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u]*(54*t[1] - (171*t[2])/2 - 175*t[3] - 
       (371*t[4])/2 + (1089*t[5])/8 + (1317*t[6])/2 + 229*t[7] + 441*t[8] - 
       (785*t[9])/8 - (3669*t[10])/8 + (1161*t[11])/2 + (149*t[12])/2 - 
       (1589*t[13])/12 + (3859*t[14])/12 + (2545*t[15])/16 - 12*t[16] - 
       111*t[25] - 87*t[26] - 222*t[27] - 27*t[34] - 39*t[36] - 111*t[37] + 
       45*t[38] - 74*t[39] + 7*t[40] + (27*t[41])/2 - (27*t[42])/2 + 
       3*t[45] - (189*t[46])/2 - 6*t[47] + 243*t[48] + (1783*t[49])/8 - 
       50*t[50] + 41*t[51] + 5*t[52] - (1051*t[53])/8 - (619*t[54])/2 + 
       3*t[58] - (9*t[59])/2 + (2669*t[60])/4 + (7569*t[61])/4 - 1004*t[62] + 
       (329*t[63])/2 - (5887*t[64])/8 + (563*t[65])/3 + (1297*t[66])/2 + 
       171*t[68] + 30*t[70] - 30*t[71] + 15*t[74] - 279*t[76] + 29*t[77] + 
       300*t[78] + 216*t[80] - 96*t[81] + 39*t[82] + (189*t[84])/2 - 
       (693*t[85])/2 - 6*t[86] + 33*t[87] + (309*t[88])/2 - (1151*t[89])/4 + 
       2*t[91] - 30*t[95] + 42*t[96] + 63*t[97] - 72*t[98] + 684*t[99] - 
       2214*t[100]) + HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - v]*
      (-43*t[1] - 47*t[2] + 66*t[3] + (337*t[4])/2 - (279*t[5])/4 - 
       132*t[6] - 7*t[7] - 299*t[8] + (763*t[9])/4 + 75*t[10] + 1464*t[11] + 
       (1293*t[12])/4 + (4213*t[13])/18 + (11123*t[14])/24 + (551*t[15])/8 + 
       134*t[25] + 40*t[26] - 4*t[27] + 20*t[34] - 610*t[36] - 12*t[37] - 
       14*t[38] + 202*t[39] + 20*t[40] - 10*t[41] + 10*t[42] + 98*t[45] + 
       157*t[46] - 196*t[47] + 9*t[48] - (291*t[49])/2 - 29*t[50] - 
       (983*t[51])/8 - 67*t[52] + (13*t[53])/2 - (309*t[54])/2 - 12*t[58] + 
       11*t[59] + 903*t[60] + 1425*t[61] - (2841*t[62])/4 + (85*t[63])/4 + 
       (1293*t[64])/2 - (7627*t[65])/6 - (9473*t[66])/6 - 46*t[68] + 
       36*t[70] - 36*t[71] + 610*t[74] + 334*t[76] + 18*t[77] - 422*t[78] - 
       116*t[80] + 18*t[81] - 152*t[82] + (395*t[84])/2 + (79*t[85])/2 - 
       196*t[86] - (925*t[87])/2 - (257*t[88])/4 - (1697*t[89])/4 - 2*t[91] - 
       36*t[95] - 60*t[96] + 18*t[97] - 144*t[98] + 744*t[99] - 
       2148*t[100]) + HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u]*
      (47*t[1] - 89*t[2] - 179*t[3] - (487*t[4])/2 + (775*t[5])/4 + 
       (1361*t[6])/2 + 226*t[7] + 456*t[8] - (719*t[9])/4 - 477*t[10] + 
       (1095*t[11])/2 + (283*t[12])/4 - (1382*t[13])/9 + (7423*t[14])/24 + 
       (1537*t[15])/8 - 12*t[16] - 106*t[25] - 88*t[26] - 220*t[27] - 
       28*t[34] - 42*t[36] - 114*t[37] + 42*t[38] - 68*t[39] + 14*t[41] - 
       14*t[42] + 2*t[45] - 127*t[46] - 4*t[47] + (543*t[48])/2 + 
       (455*t[49])/2 - (53*t[50])/2 + (469*t[51])/8 - (43*t[52])/2 - 
       (301*t[53])/2 - 349*t[54] + 4*t[58] - 7*t[59] + 626*t[60] + 
       1964*t[61] - (4299*t[62])/4 + (1119*t[63])/4 - 718*t[64] + 
       (529*t[65])/2 + (1755*t[66])/2 + 170*t[68] + 36*t[70] - 36*t[71] + 
       18*t[74] - 300*t[76] + 38*t[77] + 332*t[78] + 212*t[80] - 138*t[81] + 
       90*t[82] + (189*t[84])/2 - (835*t[85])/2 - 4*t[86] + (269*t[87])/2 + 
       (937*t[88])/4 - (1127*t[89])/4 + 2*t[91] - 36*t[95] + 36*t[96] + 
       66*t[97] - 144*t[98] + 744*t[99] - 2148*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-73*t[1])/4 + (149*t[2])/2 + (49*t[3])/2 + (1661*t[4])/8 - 
       (11591*t[5])/24 + (1733*t[6])/48 + 192*t[7] - (1421*t[8])/2 + 
       (3031*t[9])/6 - (5127*t[10])/16 + (7099*t[11])/48 + (867*t[12])/16 - 
       (244*t[13])/9 + (14689*t[14])/96 - (16777*t[15])/144 - (5*t[16])/2 - 
       16*t[19] - 6*t[20] - 21*t[21] + 6*t[22] + 21*t[23] - 16*t[25] + 
       20*t[26] + 42*t[27] + 27*t[28] - 42*t[29] + 65*t[30] + 31*t[31] - 
       85*t[32] + 31*t[33] + (179*t[34])/2 - 26*t[35] - 41*t[36] + 46*t[37] - 
       (23*t[38])/2 + (41*t[39])/2 - 44*t[40] - (111*t[41])/4 + 
       (81*t[42])/4 + t[43] + 45*t[44] - 45*t[45] + (187*t[46])/2 - 
       28*t[47] - (8009*t[48])/48 - (2265*t[49])/16 + (5167*t[50])/48 - 
       (1763*t[51])/32 - (1063*t[52])/48 + (1081*t[53])/16 - 
       (7993*t[54])/48 + 15*t[58] - 60*t[59] - (947*t[60])/6 - 149*t[61] + 
       (1699*t[62])/4 - (1135*t[63])/12 - (5129*t[64])/12 - (2521*t[65])/36 - 
       (10307*t[66])/36 + 30*t[68] - 15*t[69] + 3*t[70] - 3*t[71] - 
       27*t[72] + 24*t[73] - t[74] - 76*t[75] - 129*t[76] + 22*t[77] + 
       93*t[78] + 182*t[79] - 224*t[80] + 59*t[81] - 57*t[82] + 291*t[83] + 
       (2065*t[84])/12 + (3637*t[85])/12 - 161*t[86] + (191*t[87])/12 - 
       (1109*t[88])/24 + (713*t[89])/12 - 32*t[95] - 66*t[96] - 72*t[97] - 
       492*t[98] + 852*t[99] - 1107*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*((141*t[1])/4 + 116*t[2] - (2683*t[3])/24 - 
       (1003*t[4])/8 - (3441*t[5])/16 + (10067*t[6])/24 + (10405*t[7])/24 + 
       (4757*t[8])/8 + (11793*t[9])/16 - (10879*t[10])/16 + (7201*t[11])/24 + 
       128*t[12] + (24679*t[13])/144 + (166285*t[14])/288 - 
       (69427*t[15])/288 + 6*t[16] + 21*t[18] - 6*t[19] + 21*t[20] + 
       22*t[21] - 2*t[22] - 22*t[23] + 16*t[24] + 31*t[25] - 29*t[26] - 
       28*t[27] - 14*t[28] + 9*t[29] - 9*t[30] - 33*t[31] + 36*t[32] - 
       36*t[33] + (167*t[34])/2 + 42*t[35] + 40*t[36] - 42*t[37] - 
       (13*t[38])/2 + 74*t[39] - (367*t[40])/6 - (57*t[41])/4 + 
       (69*t[42])/4 + (43*t[43])/12 - 10*t[44] - (297*t[45])/2 - 54*t[46] + 
       350*t[47] + (619*t[48])/4 - (2075*t[49])/16 + (193*t[50])/4 + 
       (883*t[51])/32 + (189*t[52])/4 + (819*t[53])/16 + (345*t[54])/8 + 
       22*t[58] - 39*t[59] + (13423*t[60])/24 + (20239*t[61])/24 - 
       (5211*t[62])/16 + (2401*t[63])/48 + (10447*t[64])/48 + 
       (5197*t[65])/8 - (22651*t[66])/24 - 12*t[68] - 21*t[69] - 13*t[70] + 
       13*t[71] - 75*t[72] + 48*t[73] - 30*t[74] - 150*t[75] - 70*t[76] - 
       33*t[77] + 153*t[78] + 60*t[79] + 362*t[80] + 55*t[81] + 22*t[82] + 
       51*t[83] + (2517*t[84])/8 + (1489*t[85])/8 + 332*t[86] + 
       (845*t[87])/8 + (1205*t[88])/16 + (1235*t[89])/16 - 48*t[95] - 
       94*t[96] - 62*t[97] - 492*t[98] + 852*t[99] - 1107*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((-379*t[1])/8 - (125*t[2])/4 - 64*t[3] - (2107*t[4])/8 + 
       (3523*t[5])/16 - (405*t[6])/16 + (169*t[7])/8 + (685*t[8])/4 - 
       (2747*t[9])/16 + (2855*t[10])/16 - (35*t[11])/16 - (17*t[12])/8 - 
       (36689*t[13])/144 + (3105*t[14])/32 + (22055*t[15])/96 + 3*t[16] - 
       (135*t[25])/2 + (131*t[26])/4 - (127*t[27])/2 - 24*t[28] - 42*t[30] - 
       22*t[31] - (37*t[34])/4 + 48*t[35] + 87*t[36] - 52*t[37] - 50*t[38] - 
       (51*t[39])/2 + (89*t[40])/4 + (37*t[41])/8 - (37*t[42])/8 - 21*t[43] - 
       24*t[44] + 2*t[45] - 4*t[47] + (1029*t[48])/16 + (1897*t[49])/16 + 
       (421*t[50])/16 + (5*t[51])/32 - (1321*t[52])/16 - (1085*t[53])/16 + 
       (813*t[54])/16 - (43*t[58])/4 + (199*t[59])/4 - (4193*t[60])/8 + 
       (4223*t[61])/4 - (5295*t[62])/8 + (7239*t[63])/8 - (485*t[64])/8 + 
       (9701*t[65])/24 + (1757*t[66])/3 + (135*t[68])/2 - 8*t[70] + 8*t[71] + 
       72*t[72] - 66*t[73] - 69*t[74] + 66*t[75] - (583*t[76])/4 - 
       (27*t[77])/2 + 229*t[78] - 84*t[79] + (393*t[80])/2 - 8*t[81] + 
       (217*t[82])/2 + 76*t[83] - (1515*t[84])/8 - (1669*t[85])/4 + 
       156*t[86] + 20*t[87] - (33*t[88])/2 - (3469*t[89])/8 + t[91] + 
       6*t[93] + 42*t[95] + 53*t[96] + 42*t[97] + 60*t[98] + 252*t[99] - 
       1029*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((263*t[1])/4 - (53*t[2])/4 - (541*t[3])/8 - (187*t[4])/8 - 
       (199*t[5])/16 - (1991*t[6])/16 + (243*t[7])/2 - (519*t[8])/8 + 
       (1015*t[9])/16 + (1567*t[10])/16 + (10485*t[11])/16 + (177*t[12])/2 + 
       (2053*t[13])/12 + (37367*t[14])/96 + (9727*t[15])/96 + (3*t[16])/4 + 
       (137*t[25])/2 - (115*t[26])/2 + 23*t[27] + 42*t[28] + 24*t[30] - 
       8*t[31] - (23*t[34])/2 - 84*t[35] - (135*t[36])/2 + (151*t[37])/2 + 
       (285*t[38])/4 + (289*t[39])/4 + (115*t[40])/4 + (23*t[41])/4 - 
       (23*t[42])/4 + 12*t[43] - 30*t[44] + 38*t[45] + (49*t[46])/4 - 
       76*t[47] - (131*t[48])/16 + (459*t[49])/16 - (995*t[50])/16 + 
       (349*t[51])/32 + (131*t[52])/16 + (609*t[53])/16 + (2009*t[54])/16 - 
       10*t[58] - (165*t[59])/8 + (591*t[60])/8 + (2401*t[61])/2 - 
       774*t[62] + (2237*t[63])/4 + (2303*t[64])/4 - (11729*t[65])/12 - 
       (12101*t[66])/8 - 33*t[68] - 12*t[69] - 20*t[70] + 20*t[71] + 
       40*t[72] - 48*t[73] + 123*t[74] + 48*t[75] + (347*t[76])/2 - 
       16*t[77] - (433*t[78])/2 - 24*t[79] + 142*t[80] + (111*t[81])/2 - 
       (187*t[82])/2 + 52*t[83] - (797*t[84])/4 - 304*t[85] - 24*t[86] - 
       (1403*t[87])/4 - (1615*t[88])/8 - 533*t[89] - 3*t[90] - t[91] + 
       6*t[93] + 42*t[95] + (145*t[96])/2 + (177*t[97])/4 + 60*t[98] + 
       252*t[99] - 1029*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((81*t[1])/2 + (291*t[2])/8 + 
       (327*t[3])/2 + (813*t[4])/8 + (2493*t[5])/16 - (471*t[6])/16 + 
       (111*t[7])/2 + (3309*t[8])/8 - (5253*t[9])/16 - (7683*t[10])/16 - 
       (1641*t[11])/16 - (971*t[12])/4 + (535*t[13])/24 - (12269*t[14])/32 - 
       (8365*t[15])/96 - (27*t[16])/4 - 24*t[25] + (9*t[26])/2 - 12*t[27] - 
       84*t[28] + 12*t[29] - 18*t[30] - 126*t[31] - (33*t[32])/2 + 
       (33*t[33])/2 + (15*t[34])/2 - 6*t[35] + (9*t[36])/2 + 27*t[37] + 
       (55*t[38])/2 - (201*t[39])/2 + (147*t[40])/2 - (15*t[41])/4 + 
       (15*t[42])/4 + 15*t[43] - (81*t[44])/2 - 87*t[45] - 45*t[46] + 
       (315*t[47])/2 + (387*t[48])/16 + (2085*t[49])/16 - (537*t[50])/16 - 
       (1485*t[51])/32 + (753*t[52])/16 - (2733*t[53])/16 + (63*t[54])/16 - 
       (3*t[58])/2 + (7*t[59])/2 - (1275*t[60])/4 - (2383*t[61])/4 - 
       (1311*t[62])/8 - (2151*t[63])/8 + (7929*t[64])/8 + (6703*t[65])/24 + 
       (2667*t[66])/8 + (27*t[68])/2 - 24*t[69] - 54*t[70] + 54*t[71] - 
       24*t[72] - 18*t[73] + 12*t[74] - 198*t[75] + (213*t[76])/2 - 
       (141*t[77])/2 - 159*t[78] + 288*t[79] + 333*t[80] + (153*t[81])/4 + 
       (141*t[82])/4 + 369*t[83] - (75*t[84])/8 + (381*t[85])/2 + 
       1194*t[86] + 186*t[87] + 144*t[88] + (219*t[89])/8 - 12*t[93] - 
       42*t[96] - 18*t[97] + 684*t[98] - 888*t[99] - 876*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*(27*t[1] + (15*t[2])/4 - 
       (1743*t[3])/8 + (2589*t[4])/8 - (6129*t[5])/16 + (3795*t[6])/16 + 
       (1185*t[7])/8 - (297*t[8])/4 + (10765*t[9])/16 + (2835*t[10])/16 + 
       (1545*t[11])/16 + (693*t[12])/8 + (8461*t[13])/48 + (15439*t[14])/32 - 
       (8117*t[15])/96 - 42*t[25] + 33*t[26] - (27*t[27])/2 + 156*t[28] - 
       6*t[29] - 54*t[30] + 48*t[31] + (33*t[32])/2 - (33*t[33])/2 - 
       6*t[34] - 102*t[35] + 12*t[36] - 6*t[37] + (33*t[38])/2 + 
       (255*t[39])/2 - (231*t[40])/2 + 3*t[41] - 3*t[42] - (45*t[43])/4 + 
       87*t[44] - (57*t[45])/4 + (81*t[46])/4 + 45*t[47] + (429*t[48])/16 - 
       (1695*t[49])/16 - (1107*t[50])/16 + (1923*t[51])/32 + 
       (1539*t[52])/16 + (2223*t[53])/16 + (1029*t[54])/16 + 3*t[58] + 
       (9*t[59])/4 + (4161*t[60])/4 + (933*t[61])/2 + (705*t[62])/4 - 
       (2703*t[63])/4 - (3375*t[64])/4 - (910*t[65])/3 - (4335*t[66])/4 - 
       18*t[68] + 12*t[72] + 12*t[73] - 24*t[74] + 60*t[75] + (267*t[76])/2 + 
       98*t[77] - (27*t[78])/2 - 108*t[79] - 54*t[80] + 159*t[81] - 
       294*t[82] - 246*t[83] + (1005*t[84])/4 + (663*t[85])/4 - 
       (1653*t[86])/2 - (1467*t[87])/4 - (1059*t[88])/8 + (2631*t[89])/8 + 
       9*t[96] - (9*t[97])/2 + 684*t[98] - 888*t[99] - 876*t[100]) + 
     HPL[{0, 1}, 1 - v]*Qep[u, v, w]*((-160*t[1])/9 - (184*t[2])/9 + 
       (64*t[3])/9 + (788*t[4])/9 + (508*t[5])/9 - (284*t[6])/3 + 
       (160*t[7])/9 - (1120*t[8])/9 + (188*t[9])/9 - (1646*t[10])/9 + 
       (2308*t[11])/9 + (350*t[12])/9 + (2276*t[13])/81 + (1873*t[14])/27 + 
       (508*t[15])/27 + (64*t[26])/9 + (128*t[27])/9 - (32*t[28])/3 + 
       (64*t[30])/3 + (256*t[31])/9 - (32*t[34])/9 + (64*t[35])/3 - 
       (64*t[36])/3 + (352*t[37])/9 - (64*t[38])/9 + (64*t[39])/3 + 
       (128*t[40])/9 + (16*t[41])/9 - (16*t[42])/9 + (32*t[43])/3 + 
       (32*t[44])/3 + (160*t[45])/9 + 16*t[46] - (320*t[47])/9 - 
       (76*t[48])/3 + (134*t[49])/9 - (292*t[50])/9 - (157*t[51])/9 + 
       (4*t[52])/9 + (2*t[53])/9 - (256*t[54])/3 - (32*t[58])/9 + 
       (32*t[59])/9 + (1828*t[60])/9 + (3068*t[61])/9 - (1322*t[62])/9 + 
       (218*t[63])/9 - (310*t[64])/3 - 284*t[65] - (6188*t[66])/27 - 
       (64*t[69])/3 + (128*t[70])/9 - (128*t[71])/9 - (128*t[72])/3 - 
       (32*t[73])/3 + 32*t[74] + (32*t[75])/3 + (736*t[76])/9 - 
       (64*t[77])/9 - (928*t[78])/9 - (128*t[79])/3 + (64*t[80])/3 + 
       (128*t[81])/9 + (160*t[82])/9 - (64*t[83])/9 - 20*t[84] + 
       (508*t[85])/9 - (128*t[86])/3 - (2036*t[87])/9 - 138*t[88] - 
       (254*t[89])/3 - (64*t[95])/3 + (256*t[96])/9 + (64*t[97])/3 + 
       (1408*t[98])/3 - 256*t[99] - 768*t[100]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*((19*t[1])/2 - (5*t[2])/2 - (361*t[3])/4 + 
       79*t[4] - 107*t[5] + (263*t[6])/4 + 6*t[7] + 47*t[8] + 125*t[9] - 
       (43*t[10])/4 + (669*t[11])/4 + (69*t[12])/4 + (103*t[13])/12 + 
       (2161*t[14])/12 + (2321*t[15])/72 - 4*t[16] - 4*t[18] + 12*t[19] - 
       10*t[20] - 16*t[21] + 4*t[22] + 16*t[23] - 10*t[24] + 6*t[25] - 
       15*t[26] - 8*t[27] + 3*t[29] + 2*t[30] - 2*t[31] + 9*t[32] - 7*t[34] - 
       6*t[36] - 4*t[37] + 14*t[38] - 18*t[39] + 11*t[40] - (3*t[41])/2 - 
       t[42]/2 + 7*t[43] - (13*t[44])/2 + 28*t[45] - 3*t[46] - 59*t[47] - 
       (13*t[48])/4 + (71*t[49])/4 + (19*t[50])/4 - (13*t[51])/4 - 
       (39*t[52])/4 - (27*t[53])/4 + (315*t[54])/4 - 7*t[58] + 2*t[59] + 
       (245*t[60])/2 + (815*t[61])/2 + (85*t[62])/4 + (1159*t[63])/4 - 
       (957*t[64])/4 - (1207*t[65])/6 - (1265*t[66])/6 + 4*t[67] + 16*t[68] - 
       2*t[69] + 6*t[70] - 6*t[71] + 12*t[72] + 12*t[74] - 16*t[76] - 
       24*t[77] + 52*t[78] - 84*t[80] + 24*t[81] - 52*t[82] + (123*t[84])/2 - 
       (35*t[85])/2 - 94*t[86] - (283*t[87])/2 - (283*t[88])/4 - 
       (705*t[89])/4 + 2*t[92] - 2*t[94] - 48*t[98] + 192*t[99] - 
       750*t[100]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      (18*t[1] + 21*t[2] - 105*t[3] + (61*t[4])/2 - (49*t[5])/4 + 151*t[6] + 
       (115*t[7])/4 + (1009*t[8])/4 + 22*t[9] + (133*t[10])/4 + 
       (113*t[11])/4 - (221*t[12])/4 + (559*t[13])/8 + (5707*t[14])/24 + 
       (2419*t[15])/36 + 4*t[16] - 4*t[18] + 28*t[19] + 10*t[20] + 8*t[21] - 
       6*t[22] - 8*t[23] + 2*t[24] + 4*t[25] - 18*t[26] - 22*t[27] + 
       6*t[29] + 6*t[30] + 8*t[31] + 11*t[32] + 4*t[33] - 14*t[34] + 
       10*t[36] + 13*t[38] + 13*t[39] - 7*t[40] + 9*t[41] - 11*t[42] + 
       (15*t[43])/4 - 8*t[44] + (7*t[45])/2 - 5*t[46] - 22*t[47] + 
       (341*t[48])/4 + (47*t[49])/2 - (19*t[50])/4 - (61*t[51])/8 + 
       (83*t[52])/4 - (65*t[53])/2 + (485*t[54])/4 + 2*t[55] - 2*t[58] + 
       (23*t[59])/2 + (325*t[60])/2 + 461*t[61] - (485*t[62])/4 + 
       (397*t[63])/4 - 171*t[64] - (101*t[65])/2 - (827*t[66])/3 - 2*t[67] - 
       8*t[68] + 8*t[70] - 8*t[71] + 10*t[72] - 45*t[76] + 127*t[78] + 
       12*t[80] + 20*t[81] - 51*t[82] + (167*t[84])/2 - (175*t[85])/2 - 
       46*t[86] - (183*t[87])/2 - (195*t[88])/4 - (135*t[89])/4 - 2*t[92] + 
       2*t[94] + 3*t[97] - 48*t[98] + 192*t[99] - 750*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*
      ((-13*t[1])/2 + (27*t[2])/2 + (33*t[3])/2 - 62*t[4] - (301*t[5])/4 - 
       48*t[6] + (39*t[7])/2 - (147*t[8])/2 + (757*t[9])/4 - (123*t[10])/4 + 
       180*t[11] + 17*t[12] - (2185*t[13])/12 + (611*t[14])/4 - 
       (377*t[15])/24 - 5*t[16] - 18*t[25] + 16*t[26] + 9*t[34] - 88*t[36] + 
       6*t[37] + t[38] + 24*t[39] + 6*t[40] - (9*t[41])/2 + (9*t[42])/2 + 
       12*t[45] + 60*t[46] - 24*t[47] + 9*t[48] + (179*t[49])/4 + 3*t[50] - 
       (175*t[51])/4 + (209*t[53])/4 + 89*t[54] - (21*t[59])/2 - 147*t[60] + 
       267*t[61] + t[62]/4 + (1355*t[63])/4 - 204*t[64] - (1339*t[65])/6 - 
       (883*t[66])/2 - t[67] - 4*t[69] - 4*t[70] + 4*t[71] + 160*t[73] + 
       76*t[74] - 180*t[75] + 72*t[76] - 12*t[77] - 27*t[78] - 12*t[79] + 
       30*t[80] + 69*t[81] + 9*t[82] - 172*t[83] - (95*t[84])/2 + 
       (73*t[85])/2 - 36*t[86] - (455*t[87])/2 - (815*t[88])/4 - 
       (1401*t[89])/4 + 36*t[95] + 24*t[96] - 15*t[97] + 432*t[98] - 
       288*t[99] - 732*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 
       1 - u]*((-45*t[1])/2 + (9*t[2])/2 - (149*t[3])/2 - (297*t[4])/2 + 
       31*t[5] + 63*t[6] + (191*t[7])/2 + (333*t[8])/2 + (75*t[9])/2 + 
       88*t[10] + 103*t[11] + 142*t[12] - (1781*t[13])/12 + (7199*t[14])/24 + 
       (73*t[15])/6 - 18*t[19] - 24*t[25] + 66*t[26] - 9*t[34] + 18*t[36] + 
       30*t[37] - 33*t[38] + 33*t[39] - 12*t[40] + (9*t[41])/2 - 
       (9*t[42])/2 + 12*t[45] - 8*t[46] - 24*t[47] + (231*t[48])/2 + 
       67*t[49] - t[50]/2 - (465*t[51])/8 + (43*t[52])/2 + 32*t[53] + 
       99*t[54] + (39*t[59])/2 - 220*t[60] + 366*t[61] - 415*t[62] + 
       457*t[63] - (51*t[64])/2 - (2563*t[65])/6 - (1430*t[66])/3 - 
       24*t[70] + 24*t[71] + 160*t[73] - 18*t[74] - 180*t[75] + 81*t[76] + 
       6*t[77] - 81*t[78] + 12*t[80] - 11*t[81] + 35*t[82] - 160*t[83] - 
       (183*t[84])/2 - 152*t[85] - 24*t[86] - 11*t[87] - (191*t[88])/2 - 
       (1235*t[89])/4 + 36*t[95] + 78*t[96] + 3*t[97] + 432*t[98] - 
       288*t[99] - 732*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-13*t[1] + (9*t[2])/2 - 36*t[3] + 6*t[4] - 
       (591*t[5])/8 + (341*t[6])/8 + (27*t[7])/2 + (239*t[8])/4 + 
       (739*t[9])/8 - (439*t[10])/8 + (867*t[11])/8 + (129*t[12])/4 + 
       (2129*t[13])/36 + (2929*t[14])/24 + (751*t[15])/48 + 5*t[16] + 
       19*t[25] - 6*t[26] - 5*t[27] - 4*t[30] - 8*t[31] + 9*t[36] - 
       20*t[37] - 14*t[38] + 12*t[39] + 2*t[40] - 6*t[43] - 2*t[44] + t[45] - 
       8*t[46] - 2*t[47] + (149*t[48])/8 - (89*t[49])/8 - (123*t[50])/8 + 
       (23*t[51])/2 + (91*t[52])/8 - (35*t[53])/8 + (303*t[54])/8 + 5*t[59] + 
       189*t[60] + (1725*t[61])/4 - (759*t[62])/8 + (355*t[63])/8 - 
       (133*t[64])/8 - (1003*t[65])/12 - (2867*t[66])/12 - (3*t[68])/2 + 
       2*t[70] - 2*t[71] + 22*t[72] + t[74] - 18*t[76] - 3*t[77] + 35*t[78] + 
       42*t[80] + 10*t[81] - 22*t[82] + (181*t[84])/4 - (191*t[85])/4 - 
       18*t[86] - (171*t[87])/4 - (139*t[88])/8 - (173*t[89])/2 - 
       (3*t[90])/2 - 2*t[95] - 2*t[96] + 2*t[97] - 120*t[98] + 264*t[99] - 
       726*t[100]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (12*t[1] - (3*t[2])/2 - 44*t[3] + 24*t[4] - (441*t[5])/8 + 
       (319*t[6])/8 + (107*t[7])/2 + (271*t[8])/4 + (861*t[9])/8 - 
       (499*t[10])/8 + (1145*t[11])/8 - (3*t[12])/2 + (1223*t[13])/36 + 
       (1051*t[14])/8 + (1661*t[15])/48 - 2*t[16] + 21*t[25] - 26*t[26] - 
       5*t[27] - 28*t[30] - 8*t[31] - 5*t[36] - 10*t[37] + 6*t[38] + 
       8*t[39] + 2*t[40] - 2*t[43] - 2*t[44] + 10*t[45] + 12*t[46] - 
       20*t[47] + (127*t[48])/8 - (261*t[49])/8 - (105*t[50])/8 + 8*t[51] + 
       (73*t[52])/8 + (249*t[53])/8 + (237*t[54])/8 - 2*t[59] + 
       (407*t[60])/2 + (1719*t[61])/4 - (793*t[62])/8 + (261*t[63])/8 - 
       (527*t[64])/8 - (887*t[65])/12 - (2251*t[66])/12 + 3*t[67] + 
       (5*t[68])/2 - 2*t[69] + 6*t[70] - 6*t[71] + 22*t[72] + 7*t[74] - 
       20*t[76] - 3*t[77] + 45*t[78] + 6*t[80] + 13*t[81] - 25*t[82] + 
       (213*t[84])/4 - (213*t[85])/4 - 36*t[86] - (217*t[87])/4 - 
       (185*t[88])/8 - (235*t[89])/4 + (5*t[90])/2 - 2*t[95] - 2*t[96] + 
       2*t[97] - 120*t[98] + 264*t[99] - 726*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u]*(-60*t[3] - 730*t[4] + 30*t[5] + 
       120*t[6] + 60*t[7] + 180*t[8] + 30*t[9] + 285*t[10] - 380*t[11] - 
       305*t[12] - 920*t[13] + (3305*t[14])/3 - (550*t[15])/3 - 40*t[46] + 
       120*t[48] - 145*t[49] - 120*t[51] + 145*t[53] + 240*t[54] - 
       1010*t[60] + 2050*t[61] - 1190*t[62] + 2160*t[63] - 795*t[64] - 
       (1040*t[65])/3 + 80*t[66] - 40*t[81] + 40*t[82] - 180*t[84] - 
       360*t[85] + 1130*t[87] + 565*t[88] - 805*t[89] - 720*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - v]*(-200*t[1] - 640*t[4] - 90*t[5] + 
       90*t[9] - 465*t[10] + 260*t[11] + 1355*t[12] - (1630*t[13])/3 + 
       (215*t[14])/6 + (220*t[15])/3 - 40*t[16] + 280*t[26] - 80*t[36] + 
       240*t[37] - 200*t[38] + 520*t[46] - 745*t[49] - (515*t[51])/2 + 
       745*t[53] + 240*t[54] + 305*t[59] - 1130*t[60] + 105*t[61] + 
       385*t[62] + 175*t[63] + 740*t[64] + (80*t[65])/3 + (2300*t[66])/3 + 
       40*t[67] - 240*t[70] + 240*t[71] + 80*t[74] - 240*t[84] - 240*t[85] + 
       1130*t[87] + 565*t[88] + 25*t[89] - 720*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*(-14*t[1] - t[2] - 
       (153*t[3])/2 + (165*t[4])/2 - (209*t[5])/4 + (321*t[6])/4 + 
       (43*t[7])/4 + (137*t[8])/4 + 73*t[9] + (119*t[10])/2 + 156*t[11] - 
       8*t[12] + (179*t[13])/8 + (4123*t[14])/24 + (271*t[15])/6 - 4*t[16] - 
       4*t[18] + 8*t[19] - 6*t[20] - 12*t[21] + 2*t[22] + 12*t[23] - 
       10*t[24] + 8*t[25] - 10*t[26] - 8*t[27] + 8*t[29] + 2*t[30] - 
       6*t[31] - 6*t[33] - 4*t[34] - 8*t[36] - 2*t[38] + 6*t[39] + t[41] - 
       3*t[42] + (29*t[43])/4 - 4*t[44] + (71*t[45])/2 - 2*t[46] - 77*t[47] - 
       (7*t[48])/2 + (27*t[49])/4 + (23*t[50])/2 - (37*t[51])/8 - 
       (15*t[52])/2 - (47*t[53])/4 + t[54] - 3*t[58] + (7*t[59])/2 + 
       (687*t[60])/4 + (859*t[61])/2 - (301*t[62])/8 + (1729*t[63])/8 - 
       (507*t[64])/2 - (1211*t[65])/6 - (381*t[66])/2 + 4*t[67] + 
       (29*t[68])/2 - 2*t[69] + 6*t[70] - 5*t[71] + 12*t[72] + 12*t[74] - 
       21*t[76] - 8*t[77] + 56*t[78] - 98*t[80] + (55*t[81])/2 - 
       (87*t[82])/2 + 8*t[83] + (113*t[84])/2 - (107*t[85])/4 - 122*t[86] - 
       (333*t[87])/4 - (333*t[88])/8 - (239*t[89])/2 + (3*t[90])/2 - 
       120*t[98] + 248*t[99] - 652*t[100]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*((5*t[1])/2 - 7*t[2] - (293*t[3])/4 + 
       (53*t[4])/4 - (25*t[5])/2 + (791*t[6])/8 + t[7]/2 + (845*t[8])/4 + 
       (9*t[9])/2 - (167*t[10])/8 + (593*t[11])/8 + (69*t[12])/8 + 
       (1259*t[13])/36 + (2579*t[14])/16 + (1717*t[15])/36 + 4*t[19] + 
       6*t[20] + 8*t[21] - 6*t[22] - 8*t[23] + 6*t[24] - 4*t[25] + 4*t[26] - 
       13*t[27] + 7*t[29] + 11*t[32] + 8*t[33] - 13*t[34] - 4*t[36] - 
       7*t[37] + 20*t[39] - 8*t[40] + (11*t[41])/2 - (11*t[42])/2 - 2*t[43] - 
       (19*t[44])/2 + 10*t[45] - t[46]/2 - 30*t[47] + (399*t[48])/8 + 
       (25*t[49])/8 - t[50]/8 - (123*t[51])/16 + (73*t[52])/8 - 
       (49*t[53])/8 + (339*t[54])/8 - (3*t[55])/2 + (17*t[59])/2 + 
       (709*t[60])/4 + (1707*t[61])/4 - (1041*t[62])/8 + (549*t[63])/8 + 
       (153*t[64])/8 - (110*t[65])/3 - (446*t[66])/3 + 2*t[69] + 4*t[70] - 
       4*t[71] + 22*t[72] + 2*t[74] + 4*t[75] - 17*t[76] + 2*t[77] + 
       41*t[78] + 32*t[80] + (25*t[81])/2 - (61*t[82])/2 + 3*t[83] + 
       (93*t[84])/2 - (175*t[85])/4 - 12*t[86] - (113*t[87])/4 + 
       (15*t[88])/8 - (267*t[89])/8 - 4*t[95] - 6*t[96] + 5*t[97] - 
       120*t[98] + 248*t[99] - 652*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*((-469*t[1])/12 - (113*t[2])/6 + 
       (199*t[3])/3 + (773*t[4])/48 + (2125*t[5])/48 - (2329*t[6])/16 - 
       (163*t[7])/6 - (2293*t[8])/12 - (2233*t[9])/48 - (14587*t[10])/96 + 
       (15253*t[11])/48 + (8923*t[12])/96 + (15557*t[13])/432 + 
       (2557*t[14])/576 + (145*t[15])/16 - t[16]/2 + 24*t[25] + 
       (131*t[26])/6 - (4*t[27])/3 - 13*t[28] - 8*t[30] + (4*t[31])/3 + 
       (16*t[34])/3 + 26*t[35] - (231*t[36])/2 - (31*t[37])/6 - 
       (125*t[38])/6 + (77*t[39])/2 + (91*t[40])/6 - (8*t[41])/3 + 
       (8*t[42])/3 - 4*t[43] + 9*t[44] + (107*t[45])/6 + 38*t[46] - 
       (107*t[47])/3 - (717*t[48])/16 - (1649*t[49])/96 - (607*t[50])/48 - 
       (3505*t[51])/192 - (1601*t[52])/48 - (767*t[53])/96 - (89*t[54])/2 - 
       (20*t[58])/3 + (38*t[59])/3 + (8101*t[60])/48 + (9797*t[61])/48 - 
       (13009*t[62])/96 + (7777*t[63])/96 + (7623*t[64])/32 - 
       (5417*t[65])/16 - (21875*t[66])/144 - 9*t[68] + (53*t[70])/3 - 
       (53*t[71])/3 + t[72] - 20*t[73] + (263*t[74])/2 + 20*t[75] + 
       (253*t[76])/3 - (47*t[77])/6 - (364*t[78])/3 - 56*t[79] + 17*t[80] - 
       (229*t[81])/12 + (61*t[82])/12 + (23*t[83])/3 + (9*t[84])/16 + 
       (1069*t[85])/48 + t[86] - (8045*t[87])/48 - (1279*t[88])/32 - 
       (5319*t[89])/32 - t[91]/3 - 2*t[93] + t[95] - (17*t[96])/3 + 
       15*t[97] + 244*t[98] - 222*t[99] - 524*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((179*t[1])/12 - (451*t[2])/12 - (643*t[3])/12 + (2477*t[4])/48 + 
       (465*t[5])/16 + (5551*t[6])/48 + (351*t[7])/4 + (155*t[8])/2 - 
       (517*t[9])/16 + (1891*t[10])/96 + (7717*t[11])/48 - (3215*t[12])/96 - 
       (917*t[13])/144 + (106649*t[14])/576 + (3031*t[15])/144 - 2*t[16] - 
       (25*t[25])/3 - (149*t[26])/6 - (143*t[27])/3 + 7*t[28] + 12*t[30] + 
       (23*t[31])/3 - (38*t[34])/3 - 14*t[35] - (11*t[36])/2 - 
       (109*t[37])/6 + (67*t[38])/6 - (10*t[39])/3 - (17*t[40])/6 + 
       (19*t[41])/3 - (19*t[42])/3 + 6*t[43] + 8*t[44] - (13*t[45])/6 - 
       (221*t[46])/6 + (13*t[47])/3 + (777*t[48])/16 + (3639*t[49])/32 - 
       (911*t[50])/16 - (3185*t[51])/192 + (463*t[52])/16 - (2823*t[53])/32 - 
       (571*t[54])/8 - (2*t[58])/3 + (17*t[59])/3 + (13267*t[60])/48 + 
       (28505*t[61])/48 - (41981*t[62])/96 + (613*t[63])/96 - 
       (15887*t[64])/96 - (31249*t[65])/144 - (16727*t[66])/144 + 30*t[68] + 
       (29*t[70])/3 - (29*t[71])/3 - (40*t[72])/3 - 26*t[73] + (9*t[74])/2 + 
       26*t[75] - (155*t[76])/6 + (113*t[77])/6 + (133*t[78])/6 + 8*t[79] + 
       (269*t[80])/3 - (127*t[81])/4 - (109*t[82])/12 + (50*t[83])/3 - 
       (721*t[84])/48 - (5695*t[85])/48 + 29*t[86] - (6017*t[87])/48 - 
       (603*t[88])/32 - (7783*t[89])/96 + t[91]/3 - 2*t[93] + t[95] + 
       (103*t[96])/3 + 33*t[97] + 244*t[98] - 222*t[99] - 524*t[100]) + 
     HPL[{0, 1}, 1 - u]*Qep[u, v, w]*((128*t[1])/9 - (472*t[2])/9 - 
       (112*t[3])/9 + (4478*t[4])/9 + (328*t[5])/3 - (284*t[6])/9 - 
       (16*t[7])/3 + 48*t[8] - (112*t[9])/3 + (731*t[10])/9 + 
       (4696*t[11])/9 - (601*t[12])/9 + (9598*t[13])/27 + (6019*t[14])/54 - 
       (283*t[15])/9 + (320*t[25])/9 - (544*t[26])/9 - (128*t[27])/9 + 
       (32*t[28])/3 - (64*t[30])/3 - (256*t[31])/9 - (32*t[34])/9 - 
       (64*t[35])/3 - (32*t[36])/3 - (32*t[37])/9 + (224*t[38])/9 + 
       (128*t[39])/9 + (128*t[40])/9 + (16*t[41])/9 - (16*t[42])/9 - 
       (32*t[43])/3 - (32*t[44])/3 - (32*t[45])/9 - (160*t[46])/9 + 
       (64*t[47])/9 - (4*t[48])/3 - (5*t[49])/3 - 108*t[50] + (17*t[51])/18 + 
       (100*t[52])/3 - 97*t[53] - 246*t[54] - (32*t[58])/9 - (16*t[59])/9 + 
       (8338*t[60])/9 + (4442*t[61])/9 - (4705*t[62])/9 - (7543*t[63])/9 - 
       (2803*t[64])/9 - (4486*t[65])/27 - (16514*t[66])/27 + (320*t[70])/9 - 
       (320*t[71])/9 + (128*t[72])/9 + (64*t[74])/3 + (320*t[76])/9 + 
       (352*t[77])/9 - (64*t[78])/9 + (1088*t[80])/9 + (128*t[81])/3 - 
       (448*t[82])/9 - (160*t[83])/9 + (1754*t[84])/9 + (218*t[85])/9 + 
       (256*t[86])/3 - (2210*t[87])/9 + (133*t[88])/3 + (1087*t[89])/9 - 
       64*t[95] - (128*t[96])/9 + (128*t[97])/3 + (256*t[98])/3 - 128*t[99] - 
       512*t[100]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      (11*t[1] - (11*t[2])/2 - (157*t[3])/4 + (39*t[4])/2 + (25*t[5])/8 + 
       (211*t[6])/8 + (25*t[7])/4 + (193*t[8])/4 + (333*t[9])/8 + 
       (325*t[10])/2 + (993*t[11])/8 - (307*t[12])/8 + (1801*t[13])/72 + 
       (5047*t[14])/24 + (3419*t[15])/144 + t[16] + 12*t[25] + 6*t[26] - 
       2*t[27] + 4*t[28] - 4*t[30] - 4*t[31] - 2*t[34] - 8*t[35] - 48*t[36] - 
       4*t[37] + 8*t[38] + 35*t[39] + 4*t[40] + t[41] - t[42] + (9*t[43])/2 + 
       (49*t[45])/2 + t[46] - 49*t[47] + (191*t[48])/8 + (137*t[49])/4 - 
       (229*t[50])/8 - (229*t[51])/8 + (149*t[52])/8 - (109*t[53])/4 + 
       (13*t[54])/8 - 2*t[58] + 4*t[59] + (581*t[60])/4 + (1215*t[61])/4 - 
       (881*t[62])/8 + (1105*t[63])/8 - (1093*t[64])/8 - (2489*t[65])/12 - 
       (4007*t[66])/12 - 8*t[68] - 4*t[70] + 4*t[71] + 2*t[72] + 54*t[74] + 
       63*t[76] + 6*t[77] - 59*t[78] - 6*t[80] + 25*t[81] - 29*t[82] - 
       14*t[83] + (69*t[84])/4 - (21*t[85])/4 - 95*t[86] - (511*t[87])/4 - 
       (663*t[88])/8 - (379*t[89])/8 - t[91]/3 + 4*t[95] + 16*t[96] + 
       8*t[97] + 144*t[98] - 24*t[99] - 492*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*(11*t[1] - 16*t[2] - 
       (69*t[3])/4 - (5*t[4])/2 - (99*t[5])/8 + (571*t[6])/8 + (117*t[7])/4 + 
       (129*t[8])/4 + (341*t[9])/8 - 118*t[10] + (917*t[11])/8 + 
       (141*t[12])/8 - (1495*t[13])/72 + (445*t[14])/8 + (497*t[15])/48 - 
       2*t[16] - 26*t[25] - 14*t[26] - 34*t[27] + 2*t[29] - 6*t[30] - 
       2*t[31] - 2*t[34] + 4*t[35] - 6*t[36] - 14*t[37] + 12*t[38] - 
       20*t[39] + 13*t[40] + t[41] - t[42] - 7*t[44] + (9*t[45])/2 + 
       4*t[46] - 9*t[47] + (107*t[48])/8 + (127*t[49])/4 - (121*t[50])/8 + 
       (67*t[51])/8 + (41*t[52])/8 + (21*t[53])/4 - (71*t[54])/8 - 2*t[58] - 
       3*t[59] + (457*t[60])/4 + (779*t[61])/4 - (537*t[62])/8 + 
       (161*t[63])/8 - (1325*t[64])/8 - (551*t[65])/12 + (227*t[66])/12 + 
       30*t[68] - 4*t[70] + 4*t[71] - 2*t[74] - 8*t[76] - 8*t[77] - 2*t[78] + 
       38*t[80] + 18*t[81] - 23*t[82] + (15*t[84])/4 - (9*t[85])/4 + 
       3*t[86] - (395*t[87])/4 - (547*t[88])/8 - (695*t[89])/8 + t[91]/3 + 
       4*t[95] + 16*t[96] + 8*t[97] + 144*t[98] - 24*t[99] - 492*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-169*t[1])/12 - (81*t[2])/2 + (25*t[3])/3 + (529*t[4])/4 + 
       (847*t[5])/16 - (2719*t[6])/16 - (99*t[7])/8 - (2437*t[8])/8 - 
       (1435*t[9])/48 + (545*t[10])/8 + (3107*t[11])/16 - (973*t[12])/48 + 
       (15983*t[13])/144 + (1867*t[14])/24 + (9631*t[15])/288 - t[19] + 
       13*t[25] - (63*t[26])/2 + 12*t[28] - (37*t[29])/2 + (4*t[30])/3 - 
       t[31] - 12*t[32] + 12*t[33] + (21*t[34])/2 - 19*t[35] - t[36] + 
       22*t[37] + (23*t[38])/3 - (19*t[39])/2 + (73*t[40])/2 - (15*t[41])/4 + 
       (15*t[42])/4 + (37*t[43])/4 + (15*t[44])/2 + 3*t[45] + 28*t[46] - 
       24*t[47] - (1375*t[48])/16 + (115*t[49])/4 - (1087*t[50])/16 + 
       (31*t[51])/4 - (185*t[52])/16 - (101*t[53])/4 - (977*t[54])/16 - 
       (27*t[58])/2 + (67*t[59])/4 + (7811*t[60])/24 + (2345*t[61])/8 - 
       (4299*t[62])/16 - (1017*t[63])/16 - (2787*t[64])/16 - 
       (14299*t[65])/72 - (35593*t[66])/72 - t[67]/2 + t[68]/2 + 14*t[69] + 
       2*t[70] - 2*t[71] + 39*t[72] - 12*t[73] + 6*t[74] + 33*t[75] + 
       (581*t[76])/6 + 18*t[77] - 79*t[78] - 61*t[79] + 110*t[80] + 
       (167*t[81])/3 - 55*t[82] + 86*t[83] + (13*t[84])/8 + (1045*t[85])/24 + 
       12*t[86] - (1979*t[87])/8 - (1547*t[88])/16 - (1587*t[89])/16 - 
       t[90]/2 - 2*t[95] + 12*t[96] + (57*t[97])/2 + 612*t[98] - 612*t[99] - 
       477*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((33*t[1])/8 - (113*t[2])/8 + (93*t[3])/2 - (483*t[4])/16 - 
       (13*t[5])/16 - (827*t[6])/8 + (339*t[7])/4 - (1707*t[8])/8 + 
       (1045*t[9])/16 + (4233*t[10])/32 + (365*t[11])/8 + (1015*t[12])/32 - 
       (2497*t[13])/48 + (31*t[14])/64 + (34*t[15])/3 + 3*t[19] - 
       (9*t[26])/4 + (3*t[27])/2 - 9*t[28] + (15*t[29])/4 - (27*t[30])/2 - 
       14*t[31] + (21*t[32])/2 - (57*t[33])/4 - (15*t[34])/4 - 6*t[35] + 
       6*t[36] - 9*t[37] + (21*t[38])/4 + (33*t[39])/4 - 3*t[40] + 
       (15*t[41])/8 - (15*t[42])/8 - (9*t[43])/2 + (201*t[44])/8 - 
       (63*t[45])/4 + (27*t[46])/4 + (51*t[47])/4 - (233*t[48])/4 - 
       (105*t[49])/32 + 70*t[50] - (117*t[51])/64 - (325*t[52])/4 + 
       (489*t[53])/32 - (985*t[54])/16 - (3*t[58])/4 + 20*t[59] - 
       (1865*t[60])/4 + (1247*t[61])/8 + (941*t[62])/16 + (11407*t[63])/16 - 
       314*t[64] - (71*t[65])/3 + (279*t[66])/4 - 3*t[68] - 12*t[69] - 
       18*t[70] + 18*t[71] - 15*t[72] + 30*t[73] - (33*t[74])/2 - 66*t[75] + 
       (159*t[76])/2 - 12*t[77] - (483*t[78])/4 + 93*t[79] + (105*t[80])/2 + 
       (159*t[81])/4 + 33*t[82] + (243*t[83])/2 - (1299*t[84])/8 - 
       (623*t[85])/4 - 72*t[86] + 137*t[87] - 29*t[88] - (4403*t[89])/8 - 
       3*t[95] + 21*t[96] - (3*t[97])/4 + 432*t[98] - 357*t[99] - 
       465*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((-39*t[1])/8 - 3*t[2] - (183*t[3])/8 - (1737*t[4])/16 + 
       (525*t[5])/16 - (557*t[6])/16 + (1365*t[7])/16 + (873*t[8])/16 + 
       48*t[9] - (1917*t[10])/32 + (849*t[11])/16 + (2283*t[12])/32 + 
       (1633*t[13])/24 + (2623*t[14])/64 + (1357*t[15])/96 + (3*t[18])/2 + 
       3*t[21] + 3*t[22] + 3*t[24] + 6*t[25] - (9*t[26])/4 + 9*t[27] + 
       9*t[28] + 3*t[29] - 12*t[30] + 6*t[31] - 3*t[32] + 3*t[33] - 
       (9*t[34])/4 - 3*t[35] - (15*t[38])/4 + (15*t[39])/4 + (15*t[40])/4 - 
       (15*t[41])/8 + (15*t[42])/8 + (207*t[43])/16 - 6*t[44] - 
       (261*t[45])/4 + (69*t[46])/4 + (435*t[47])/4 + (87*t[48])/16 - 
       (477*t[49])/32 - (537*t[50])/16 + (543*t[51])/64 + (213*t[52])/16 + 
       (573*t[53])/32 + (423*t[54])/8 + (3*t[56])/4 - 3*t[57] - (9*t[58])/4 + 
       (23*t[59])/4 + (909*t[60])/16 + (3051*t[61])/16 - (2757*t[62])/32 - 
       (1323*t[63])/32 + (4521*t[64])/32 + (1879*t[65])/48 - 
       (6079*t[66])/16 - 3*t[68] + 9*t[70] - 9*t[71] + 21*t[73] - 3*t[74] - 
       12*t[75] + (81*t[76])/4 + (37*t[77])/2 - (27*t[78])/4 + 
       (447*t[80])/2 + (3*t[81])/4 + 24*t[82] - 33*t[83] + (63*t[84])/16 - 
       (381*t[85])/16 + (279*t[86])/4 - (471*t[87])/16 - (471*t[88])/32 - 
       (1545*t[89])/32 + (9*t[96])/2 + (9*t[97])/2 + 432*t[98] - 357*t[99] - 
       465*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-341*t[1])/24 - (31*t[2])/3 - (151*t[3])/6 - (2359*t[4])/48 + 
       (619*t[5])/12 + 6*t[6] + (341*t[7])/24 + (761*t[8])/12 - 
       (191*t[9])/6 + (3893*t[10])/96 + (839*t[11])/24 + (289*t[12])/96 - 
       (12365*t[13])/216 + (25237*t[14])/576 + (6653*t[15])/96 + t[16] - 
       (43*t[25])/2 + (73*t[26])/12 - (119*t[27])/6 - 7*t[28] - 12*t[30] - 
       (23*t[31])/3 - (29*t[34])/12 + 14*t[35] + (51*t[36])/2 - 
       (103*t[37])/6 - (77*t[38])/6 - (13*t[39])/2 + (71*t[40])/12 + 
       (29*t[41])/24 - (29*t[42])/24 - 6*t[43] - 8*t[44] + (5*t[45])/6 - 
       2*t[46] - (5*t[47])/3 + (175*t[48])/8 + (3199*t[49])/96 + 
       (73*t[50])/24 + (719*t[51])/192 - (523*t[52])/24 - (2519*t[53])/96 + 
       (113*t[54])/16 - (35*t[58])/12 + (143*t[59])/12 - (4199*t[60])/48 + 
       (18479*t[61])/48 - (22027*t[62])/96 + (22027*t[63])/96 - 
       (1907*t[64])/32 + (5893*t[65])/48 + (19375*t[66])/144 + (45*t[68])/2 - 
       t[70]/3 + t[71]/3 + 22*t[72] - 20*t[73] - (41*t[74])/2 + 20*t[75] - 
       (581*t[76])/12 - (7*t[77])/3 + (523*t[78])/6 - 24*t[79] + 
       (117*t[80])/2 + (47*t[81])/12 + (307*t[82])/12 + (71*t[83])/3 - 
       (607*t[84])/16 - (5705*t[85])/48 + 51*t[86] - (995*t[87])/48 - 
       (233*t[88])/32 - (4101*t[89])/32 + t[91]/3 + 2*t[93] + 9*t[95] + 
       (34*t[96])/3 + 13*t[97] + 16*t[98] + 138*t[99] - 457*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((56*t[1])/3 - (13*t[2])/3 - (641*t[3])/24 + (1265*t[4])/48 - 
       (21*t[5])/2 - (169*t[6])/6 + (77*t[7])/2 + (15*t[8])/8 + 
       (125*t[9])/4 + (1087*t[10])/96 + (5705*t[11])/24 + (2743*t[12])/96 + 
       (11243*t[13])/144 + (83993*t[14])/576 + (9203*t[15])/288 + t[16]/4 + 
       (151*t[25])/6 - (119*t[26])/6 + (19*t[27])/3 + 13*t[28] + 8*t[30] - 
       (4*t[31])/3 - (19*t[34])/6 - 26*t[35] - 25*t[36] + (125*t[37])/6 + 
       (257*t[38])/12 + (341*t[39])/12 + (65*t[40])/12 + (19*t[41])/12 - 
       (19*t[42])/12 + 4*t[43] - 9*t[44] + (77*t[45])/6 + (17*t[46])/12 - 
       (77*t[47])/3 + (17*t[48])/4 + (303*t[49])/32 - (105*t[50])/4 + 
       (295*t[51])/192 + (33*t[52])/4 + (105*t[53])/32 + (479*t[54])/16 - 
       (8*t[58])/3 - (179*t[59])/24 + (4339*t[60])/48 + (21203*t[61])/48 - 
       (25163*t[62])/96 + (13003*t[63])/96 + (13159*t[64])/96 - 
       (43987*t[65])/144 - (74999*t[66])/144 - 11*t[68] - 4*t[69] - 
       (13*t[70])/3 + (13*t[71])/3 + (29*t[72])/3 - 14*t[73] + (85*t[74])/2 + 
       14*t[75] + (173*t[76])/3 - t[77]/6 - (181*t[78])/3 - 8*t[79] + 
       (125*t[80])/3 + (93*t[81])/4 - (475*t[82])/12 + (44*t[83])/3 - 
       (1915*t[84])/48 - (4273*t[85])/48 - 9*t[86] - (6323*t[87])/48 - 
       (2009*t[88])/32 - (14809*t[89])/96 - t[90] - t[91]/3 + 2*t[93] + 
       9*t[95] + (107*t[96])/6 + (55*t[97])/4 + 16*t[98] + 138*t[99] - 
       457*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*((5*t[1])/2 - (95*t[2])/8 - (55*t[3])/4 + 
       (375*t[4])/8 - (223*t[5])/8 + 62*t[6] - 7*t[7] - (81*t[8])/4 - 
       (15*t[9])/4 - (151*t[10])/16 + (509*t[11])/8 - (127*t[12])/16 - 
       (17*t[13])/3 + (8285*t[14])/96 + (1481*t[15])/48 - 2*t[16] - 
       (23*t[17])/4 - 16*t[18] + 4*t[19] - 6*t[20] - 4*t[21] + 4*t[23] + 
       4*t[24] + (11*t[25])/2 - (15*t[26])/2 - (11*t[27])/2 - 3*t[29] + 
       8*t[30] + 4*t[31] - 3*t[33] - 15*t[34] - 4*t[36] + (5*t[38])/2 + 
       3*t[39] - t[41]/2 - 5*t[42] + (15*t[43])/4 + (21*t[45])/2 - 
       (41*t[46])/4 - 32*t[47] - (47*t[48])/4 + (195*t[49])/16 + t[50]/4 - 
       (29*t[51])/32 + (51*t[52])/4 - (195*t[53])/16 + (131*t[54])/8 - 
       4*t[58] + 20*t[59] + 56*t[60] + (1219*t[61])/4 - (129*t[62])/8 + 
       (1841*t[63])/8 - (1441*t[64])/8 - (1877*t[65])/12 - (437*t[66])/12 + 
       2*t[67] + (17*t[68])/2 + 10*t[69] + 4*t[70] - 4*t[71] + 12*t[72] + 
       10*t[74] - 26*t[76] - 8*t[77] + 54*t[78] - 61*t[80] + 12*t[81] - 
       22*t[82] + (61*t[84])/2 - 40*t[85] - 96*t[86] - (87*t[87])/2 - 
       (87*t[88])/4 - (915*t[89])/8 - t[90]/2 - t[92]/2 + t[94]/2 - 
       204*t[98] + 336*t[99] - 453*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((3*t[1])/4 + (21*t[2])/8 - (235*t[3])/2 - 
       (19*t[4])/2 + (143*t[5])/16 + (479*t[6])/8 + (43*t[7])/2 + 
       (273*t[8])/2 + (283*t[9])/16 - (109*t[10])/4 + (297*t[11])/4 + 
       (539*t[12])/16 + (2851*t[13])/72 + (5521*t[14])/48 + (1987*t[15])/32 - 
       t[17]/4 - 4*t[18] + 14*t[19] - 14*t[20] + 6*t[21] + 4*t[22] - 
       6*t[23] + 5*t[24] - 9*t[27] - 6*t[29] + 3*t[30] + (31*t[32])/2 - 
       (9*t[33])/2 - (15*t[34])/2 - (9*t[37])/2 + 9*t[39] - 4*t[40] + 
       (29*t[41])/4 - (27*t[42])/4 - (35*t[44])/2 + 16*t[45] - (3*t[46])/2 - 
       33*t[47] + (277*t[48])/8 - 11*t[49] - (63*t[50])/8 + (65*t[51])/8 + 
       (147*t[52])/8 + 11*t[53] + (383*t[54])/8 - t[55]/2 + (67*t[59])/4 + 
       (999*t[60])/8 + (1307*t[61])/4 - (1491*t[62])/16 + (799*t[63])/16 - 
       (231*t[64])/8 - (29*t[65])/6 - (319*t[66])/2 + (5*t[67])/2 - t[68]/2 + 
       10*t[69] - 2*t[70] + 2*t[71] + 14*t[72] + 8*t[74] - 28*t[76] + 
       (115*t[78])/2 + 23*t[80] + (37*t[81])/4 - (47*t[82])/4 + 
       (155*t[84])/4 - (467*t[85])/8 - 24*t[86] - (69*t[87])/8 + 
       (379*t[88])/16 - (323*t[89])/8 - t[90] - 6*t[95] - 7*t[96] + 
       (11*t[97])/2 - 204*t[98] + 336*t[99] - 453*t[100]) + 
     HPL[{0, 1}, 1 - u]*Qep[v, u, w]*((-272*t[1])/3 + (112*t[2])/3 - 
       48*t[3] - (568*t[4])/3 - (520*t[5])/3 + (776*t[6])/3 + (16*t[7])/3 + 
       (448*t[8])/3 + (320*t[9])/3 - 4*t[10] - (992*t[11])/3 + 
       (460*t[12])/3 - (1888*t[13])/9 + (616*t[14])/3 + (736*t[15])/27 + 
       96*t[26] - (64*t[27])/3 - (64*t[28])/3 + (32*t[30])/3 + 32*t[31] + 
       (32*t[34])/3 + (128*t[35])/3 - (32*t[36])/3 - 64*t[37] - 96*t[38] + 
       (64*t[39])/3 - (32*t[40])/3 - (16*t[41])/3 + (16*t[42])/3 + 
       (16*t[43])/3 + (128*t[44])/3 + (64*t[45])/3 - (64*t[46])/3 - 
       (128*t[47])/3 + (232*t[48])/3 - (68*t[49])/3 + (136*t[50])/3 - 
       (148*t[51])/3 + 8*t[52] - (52*t[53])/3 + (248*t[54])/3 + 
       (32*t[58])/3 + 32*t[59] - (440*t[60])/3 + 432*t[61] + (800*t[62])/3 + 
       (1456*t[63])/3 - (1204*t[64])/3 + (3656*t[65])/9 + (4264*t[66])/9 - 
       64*t[72] + (64*t[73])/3 - (32*t[74])/3 - (64*t[75])/3 - 
       (352*t[76])/3 - (64*t[77])/3 + (544*t[78])/3 - (512*t[80])/3 - 
       (112*t[81])/3 - (80*t[82])/3 - (64*t[83])/3 + 104*t[84] + 
       (160*t[85])/3 - (320*t[86])/3 + (536*t[87])/3 + 100*t[88] + 84*t[89] - 
       (128*t[95])/3 - 64*t[96] - (128*t[97])/3 - 640*t[98] + 896*t[99] - 
       448*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-25*t[1])/3 + (5*t[2])/3 - (427*t[3])/12 + 
       (1045*t[4])/24 - (137*t[5])/4 + (1175*t[6])/24 + (47*t[7])/8 + 
       (237*t[8])/8 + (387*t[9])/8 - (751*t[10])/48 + (1045*t[11])/12 - 
       (169*t[12])/48 + (817*t[13])/144 + (32125*t[14])/288 + 
       (463*t[15])/36 - 2*t[16] - 2*t[18] + 8*t[19] - 3*t[20] - 6*t[21] + 
       t[22] + 6*t[23] - 5*t[24] + (14*t[25])/3 - (4*t[26])/3 - 
       (20*t[27])/3 - 4*t[28] + 8*t[29] + t[30] - (13*t[31])/3 - 3*t[33] + 
       t[34]/3 + 6*t[35] - 5*t[36] - (17*t[37])/3 - (4*t[38])/3 + 
       (11*t[39])/3 + (8*t[40])/3 - (2*t[41])/3 - t[42]/3 + (29*t[43])/8 + 
       2*t[44] + (217*t[45])/12 - (53*t[46])/6 - (235*t[47])/6 + 
       (13*t[48])/4 + (87*t[49])/16 + (33*t[50])/4 - (253*t[51])/96 - 
       (21*t[52])/4 - (247*t[53])/16 - (11*t[54])/8 - (2*t[58])/3 - 
       (4*t[59])/3 + (2993*t[60])/24 + (6859*t[61])/24 - (2083*t[62])/48 + 
       (6467*t[63])/48 - (9373*t[64])/48 - (4727*t[65])/72 - 
       (9229*t[66])/72 + 2*t[67] + 8*t[68] - 9*t[69] + (11*t[70])/3 - 
       (11*t[71])/3 + (2*t[72])/3 + 4*t[73] + 5*t[74] - 8*t[75] - 
       (52*t[76])/3 - (23*t[77])/3 + (119*t[78])/3 - (160*t[80])/3 + 
       (31*t[81])/2 - (131*t[82])/6 + (20*t[83])/3 + (1357*t[84])/24 - 
       (29*t[85])/24 - 35*t[86] - (1135*t[87])/24 - (309*t[88])/16 - 
       (3797*t[89])/48 - 6*t[95] - (26*t[96])/3 - 4*t[97] - 104*t[98] + 
       196*t[99] - 437*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*((31*t[1])/6 - (31*t[2])/12 - (1087*t[3])/24 + 
       (769*t[4])/24 - (481*t[5])/24 + (481*t[6])/8 + (22*t[7])/3 + 
       (311*t[8])/3 + (331*t[9])/24 + (361*t[10])/48 + (1823*t[11])/24 + 
       (383*t[12])/48 + (3805*t[13])/216 + (27701*t[14])/288 + 
       (4631*t[15])/144 + 8*t[19] + 3*t[20] + 4*t[21] - 3*t[22] - 4*t[23] + 
       3*t[24] + 2*t[25] - (11*t[26])/3 - (16*t[27])/3 + 4*t[28] + 
       (15*t[29])/2 + 4*t[30] + (10*t[31])/3 + (11*t[32])/2 + 4*t[33] - 
       (20*t[34])/3 - 6*t[35] - 11*t[36] + t[37]/3 + (8*t[38])/3 + 14*t[39] - 
       (22*t[40])/3 + (17*t[41])/6 - (17*t[42])/6 + t[43] - (59*t[44])/4 + 
       (28*t[45])/3 + 2*t[46] - (71*t[47])/3 + (285*t[48])/8 + 
       (23*t[49])/48 + (19*t[50])/24 - (353*t[51])/96 + (173*t[52])/24 - 
       (247*t[53])/48 + (25*t[54])/2 + (4*t[58])/3 + (13*t[59])/6 + 
       (2081*t[60])/24 + (6271*t[61])/24 - (2555*t[62])/48 + 
       (1667*t[63])/48 - (539*t[64])/16 - (257*t[65])/8 - (9763*t[66])/72 - 
       2*t[69] + (8*t[70])/3 - (8*t[71])/3 + 9*t[72] + 4*t[73] + 8*t[74] - 
       2*t[75] - (41*t[76])/3 + (14*t[77])/3 + (68*t[78])/3 + 8*t[79] + 
       2*t[80] + (26*t[81])/3 - (59*t[82])/3 - (25*t[83])/3 + (281*t[84])/8 - 
       (673*t[85])/24 - 38*t[86] - (439*t[87])/24 + (51*t[88])/16 - 
       (159*t[89])/16 - 8*t[95] - (14*t[96])/3 + t[97] - 104*t[98] + 
       196*t[99] - 437*t[100]) + HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u]*
      (-36*t[3] - 214*t[4] - 78*t[5] + 24*t[6] + 36*t[7] + 108*t[8] + 
       114*t[9] + 235*t[10] - 52*t[11] - 87*t[12] - (1208*t[13])/3 + 
       (1915*t[14])/3 - 142*t[15] + 40*t[46] + 24*t[48] - 87*t[49] - 
       48*t[50] - 108*t[51] + 48*t[52] + 87*t[53] + 144*t[54] - 318*t[60] + 
       1006*t[61] - 642*t[62] + 808*t[63] - 461*t[64] - (1048*t[65])/3 - 
       (1408*t[66])/3 + 40*t[81] - 40*t[82] - 60*t[84] - 72*t[85] + 
       390*t[87] + 195*t[88] - 387*t[89] - 432*t[100]) + 
     HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - v]*(-93*t[1] - 224*t[4] - 6*t[5] + 
       6*t[9] - 247*t[10] - 68*t[11] + 594*t[12] - 224*t[13] - 
       (287*t[14])/6 + 36*t[15] - 24*t[16] + 126*t[26] + 80*t[36] + 
       144*t[37] - 93*t[38] + 152*t[46] - 303*t[49] - (117*t[51])/2 + 
       303*t[53] + 96*t[54] + 165*t[59] - 486*t[60] - 163*t[61] + 343*t[62] + 
       217*t[63] + 148*t[64] + (566*t[65])/3 + (1712*t[66])/3 + 24*t[67] - 
       144*t[70] + 144*t[71] - 80*t[74] - 96*t[84] - 96*t[85] + 486*t[87] + 
       243*t[88] + 63*t[89] - 432*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*(12*t[1] - 12*t[2] - 81*t[3] + 75*t[4] - 
       (2165*t[5])/4 - 98*t[6] - (413*t[7])/2 - (2031*t[8])/2 + 
       (253*t[9])/4 + (2901*t[10])/4 + (1597*t[11])/2 - 66*t[12] + 
       (319*t[13])/2 + (544*t[14])/3 + (2233*t[15])/24 - 48*t[25] + 6*t[26] - 
       192*t[27] - 80*t[28] + 48*t[29] + 48*t[30] + 96*t[31] + 18*t[34] - 
       48*t[35] - 114*t[36] - 108*t[37] + 33*t[38] - 129*t[39] + 22*t[40] + 
       3*t[41] - 3*t[42] + (81*t[43])/2 + 120*t[44] + 195*t[45] + 198*t[46] - 
       390*t[47] - (847*t[48])/2 - (1525*t[49])/4 + (277*t[50])/2 - 
       142*t[51] - (433*t[52])/2 + (553*t[53])/4 - (867*t[54])/2 + 9*t[59] - 
       395*t[60] + (2505*t[61])/2 - (3743*t[62])/4 - (3241*t[63])/4 - 
       (275*t[64])/4 + (434*t[65])/3 - (1951*t[66])/3 + 96*t[68] + 72*t[69] + 
       60*t[70] - 60*t[71] + 120*t[72] + 96*t[73] + 162*t[74] + 40*t[75] - 
       366*t[76] + 27*t[77] + 312*t[78] - 104*t[79] - 288*t[80] - 151*t[81] - 
       515*t[82] + 269*t[84] + (629*t[85])/2 + 428*t[86] - (587*t[87])/2 + 
       (313*t[88])/4 + 26*t[89] - 132*t[95] - 120*t[96] + 12*t[97] - 
       1512*t[98] + 1224*t[99] - 408*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*((-345*t[1])/2 - (303*t[2])/2 + 
       85*t[3] - (231*t[4])/2 + (4253*t[5])/4 + (1597*t[6])/4 + 186*t[7] + 
       370*t[8] - (4417*t[9])/4 - (1963*t[10])/2 + (3351*t[11])/4 + 
       (2955*t[12])/4 + (8500*t[13])/9 - (3717*t[14])/8 + (13681*t[15])/24 + 
       156*t[25] + 147*t[26] - 72*t[27] + 6*t[29] - 8*t[30] - 136*t[31] - 
       33*t[34] + 40*t[35] - 42*t[36] - 36*t[37] - 290*t[38] - 90*t[39] + 
       144*t[40] + (9*t[41])/2 - (9*t[42])/2 + 60*t[43] + 75*t[44] + 
       24*t[45] - 188*t[46] - 48*t[47] + (1439*t[48])/4 - 440*t[49] + 
       (391*t[50])/4 + (2513*t[51])/8 - (595*t[52])/4 + 293*t[53] - 
       (185*t[54])/4 + 9*t[58] + (501*t[59])/2 + (563*t[60])/2 + 1120*t[61] + 
       (821*t[62])/4 - (7189*t[63])/4 + (2117*t[64])/2 + 1379*t[65] + 
       (5173*t[66])/6 + 4*t[67] - 96*t[68] + 40*t[69] - 8*t[70] + 8*t[71] + 
       240*t[72] - 48*t[73] - 70*t[74] + 96*t[75] - 263*t[76] - 72*t[77] + 
       93*t[78] + 80*t[79] - 184*t[80] - 435*t[81] + 140*t[82] - 496*t[83] + 
       379*t[84] - (759*t[85])/2 - 72*t[86] + (669*t[87])/2 + 
       (1569*t[88])/4 + (1029*t[89])/4 - 132*t[95] - 48*t[96] + 39*t[97] - 
       1512*t[98] + 1224*t[99] - 408*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((33*t[1])/2 - (83*t[2])/2 + (161*t[3])/8 + (459*t[4])/8 + 
       (2053*t[5])/16 + (113*t[6])/48 + (471*t[7])/8 + (1211*t[8])/8 - 
       (2331*t[9])/16 + (109*t[10])/16 + (9769*t[11])/48 + (475*t[12])/8 + 
       (6073*t[13])/72 + (195*t[14])/32 + (2849*t[15])/288 + 3*t[25] - 
       t[26] - 11*t[27] - 31*t[28] + 6*t[29] - 3*t[30] - 14*t[31] + 
       18*t[32] - 18*t[33] - 20*t[34] + 8*t[36] - 12*t[37] + (15*t[38])/2 + 
       (33*t[39])/2 - (8*t[40])/3 + (17*t[41])/2 - (17*t[42])/2 + 4*t[43] + 
       (43*t[44])/2 + 9*t[45] - (27*t[46])/2 - 6*t[47] + (197*t[48])/16 + 
       (305*t[49])/16 - (987*t[50])/16 + (119*t[51])/32 + (603*t[52])/16 - 
       (137*t[53])/16 - (1003*t[54])/16 + t[58] + (23*t[59])/2 + 
       (1223*t[60])/12 + (4759*t[61])/12 - (469*t[62])/2 - (317*t[63])/2 + 
       (853*t[64])/8 - (1595*t[65])/18 - (524*t[66])/3 + 6*t[69] + 2*t[70] - 
       2*t[71] + 18*t[72] - 10*t[74] - 34*t[75] + 41*t[76] + (13*t[77])/3 - 
       114*t[78] + 56*t[79] + 58*t[80] - 46*t[81] + 19*t[82] - 32*t[83] - 
       73*t[84] - (213*t[85])/2 + 36*t[86] + 96*t[87] + 85*t[88] - 
       (547*t[89])/8 - 4*t[95] + 45*t[96] + 42*t[97] + 300*t[98] - 
       288*t[99] - 387*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-46*t[1])/3 - (4*t[2])/3 - (317*t[3])/12 + 
       (1939*t[4])/24 - (98*t[5])/3 + (295*t[6])/8 - (7*t[7])/24 - 
       (245*t[8])/24 + (895*t[9])/24 + (649*t[10])/48 + (1363*t[11])/12 + 
       (719*t[12])/48 + (11615*t[13])/432 + (16367*t[14])/288 + 
       (257*t[15])/24 - 2*t[16] - 2*t[18] - 3*t[20] - 6*t[21] + t[22] + 
       6*t[23] - 5*t[24] + 6*t[25] - (32*t[26])/3 - (4*t[27])/3 + t[30] - 
       (17*t[31])/3 - 3*t[33] + t[34]/3 - 2*t[35] - 9*t[36] + t[37]/3 - 
       (10*t[38])/3 + t[39] + (8*t[40])/3 - (2*t[41])/3 - t[42]/3 + 
       (29*t[43])/8 - 6*t[44] + (193*t[45])/12 - (11*t[46])/2 - 
       (211*t[47])/6 - (19*t[48])/2 - (223*t[49])/48 + (55*t[50])/6 + 
       (397*t[51])/96 - (61*t[52])/6 - (721*t[53])/48 - (227*t[54])/8 - 
       (2*t[58])/3 + (8*t[59])/3 + (4085*t[60])/24 + (4489*t[61])/24 - 
       (329*t[62])/48 + (1649*t[63])/48 - (2229*t[64])/16 - (685*t[65])/8 - 
       (5827*t[66])/72 + 2*t[67] + 8*t[68] + 7*t[69] + (23*t[70])/3 - 
       (23*t[71])/3 + 10*t[72] + 4*t[73] + 9*t[74] - 4*t[75] - (56*t[76])/3 - 
       (13*t[77])/3 + (131*t[78])/3 + 8*t[79] - 52*t[80] + (73*t[81])/6 - 
       (127*t[82])/6 + (2*t[83])/3 + (425*t[84])/8 + (401*t[85])/24 - 
       39*t[86] - (1405*t[87])/24 - (111*t[88])/16 - (887*t[89])/16 - 
       10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 172*t[99] - 
       380*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-23*t[1])/6 - (67*t[2])/12 - 
       (1151*t[3])/24 + (1615*t[4])/24 - (107*t[5])/8 + (1787*t[6])/24 - 
       t[7] + 136*t[8] + (49*t[9])/8 - (31*t[10])/48 + (1889*t[11])/24 + 
       (491*t[12])/48 + (1309*t[13])/24 + (31687*t[14])/288 + 
       (267*t[15])/16 + 3*t[20] + 4*t[21] - 3*t[22] - 4*t[23] + 3*t[24] + 
       (14*t[25])/3 + (5*t[26])/3 - (32*t[27])/3 - t[29]/2 - 4*t[30] + 
       (2*t[31])/3 + (11*t[32])/2 + 4*t[33] - (20*t[34])/3 + 2*t[35] - 
       7*t[36] - (23*t[37])/3 - (16*t[38])/3 + (44*t[39])/3 - (22*t[40])/3 + 
       (17*t[41])/6 - (17*t[42])/6 - 3*t[43] + (21*t[44])/4 + (22*t[45])/3 - 
       (4*t[46])/3 - (59*t[47])/3 + (309*t[48])/8 + (9*t[49])/16 - 
       (87*t[50])/8 - (583*t[51])/96 + (119*t[52])/8 - (249*t[53])/16 + 
       (3*t[54])/4 + (4*t[58])/3 + (37*t[59])/6 + (4889*t[60])/24 + 
       (6529*t[61])/24 - (4117*t[62])/48 - (3691*t[63])/48 - 
       (3079*t[64])/48 - (1235*t[65])/72 - (10045*t[66])/72 + 2*t[69] + 
       (20*t[70])/3 - (26*t[71])/3 + (23*t[72])/3 + 4*t[73] + 4*t[74] + 
       2*t[75] - (43*t[76])/3 + (22*t[77])/3 + (110*t[78])/3 + (2*t[80])/3 + 
       8*t[81] - (79*t[82])/3 - (37*t[83])/3 + (1429*t[84])/24 - 
       (287*t[85])/24 - 26*t[86] - (721*t[87])/24 + (245*t[88])/16 + 
       (1375*t[89])/48 - 12*t[95] - (26*t[96])/3 + 3*t[97] - 104*t[98] + 
       172*t[99] - 380*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*((-31*t[1])/4 + (325*t[2])/12 + 
       (27*t[3])/2 + (579*t[4])/8 - (1795*t[5])/12 + (183*t[6])/16 + 
       (787*t[7])/12 - (3181*t[8])/12 + (3929*t[9])/24 - (5075*t[10])/48 + 
       (785*t[11])/16 + (929*t[12])/48 - (1097*t[13])/54 + 
       (13189*t[14])/288 - (425*t[15])/12 - (3*t[16])/2 - (16*t[19])/3 - 
       2*t[20] - 7*t[21] + 2*t[22] + 7*t[23] - 8*t[25] + (28*t[26])/3 + 
       14*t[27] + 9*t[28] - (37*t[29])/3 + 20*t[30] + 8*t[31] - 
       (88*t[32])/3 + (34*t[33])/3 + (185*t[34])/6 - 14*t[35] - 
       (40*t[36])/3 + 17*t[37] - (13*t[38])/3 + 2*t[39] - (59*t[40])/6 - 
       (39*t[41])/4 + (29*t[42])/4 + (7*t[43])/6 + 16*t[44] - 15*t[45] + 
       33*t[46] - (31*t[47])/3 - (2849*t[48])/48 - (2513*t[49])/48 + 
       (717*t[50])/16 - (1735*t[51])/96 - (245*t[52])/16 + (427*t[53])/16 - 
       (935*t[54])/16 + 5*t[58] - (41*t[59])/2 - (691*t[60])/12 - 
       (225*t[61])/4 + (1313*t[62])/8 - (155*t[63])/24 - (3941*t[64])/24 - 
       (839*t[65])/36 - (2453*t[66])/36 + 10*t[68] - 5*t[69] + t[70] - 
       t[71] - 9*t[72] + 8*t[73] - t[74]/3 - 20*t[75] - (89*t[76])/2 + 
       (19*t[77])/3 + (63*t[78])/2 + 57*t[79] - (230*t[80])/3 + 
       (35*t[81])/2 - (107*t[82])/6 + 87*t[83] + (249*t[84])/4 + 
       (316*t[85])/3 - (226*t[86])/3 + t[87] - (53*t[88])/3 + 
       (229*t[89])/24 - (32*t[95])/3 - 25*t[96] - 26*t[97] - 188*t[98] + 
       308*t[99] - 357*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((34*t[1])/3 + (479*t[2])/12 - 
       (899*t[3])/24 - (995*t[4])/24 - (1153*t[5])/16 + (1693*t[6])/12 + 
       (3455*t[7])/24 + (1671*t[8])/8 + (11255*t[9])/48 - (11215*t[10])/48 + 
       (308*t[11])/3 + (339*t[12])/8 + (25745*t[13])/432 + (17905*t[14])/96 - 
       (23155*t[15])/288 + 2*t[16] + 7*t[18] - 2*t[19] + 7*t[20] + 
       (22*t[21])/3 - (2*t[22])/3 - (22*t[23])/3 + (16*t[24])/3 + 
       (31*t[25])/3 - (47*t[26])/6 - (28*t[27])/3 - 9*t[28] + 3*t[29] - 
       3*t[30] - 11*t[31] + 13*t[32] - 13*t[33] + (82*t[34])/3 + 14*t[35] + 
       (35*t[36])/3 - 14*t[37] - (7*t[38])/2 + (77*t[39])/3 - (47*t[40])/2 - 
       (9*t[41])/2 + (11*t[42])/2 + (5*t[43])/2 - (2*t[44])/3 - 
       (281*t[45])/6 - (33*t[46])/2 + (337*t[47])/3 + (1331*t[48])/24 - 
       (737*t[49])/16 + (415*t[50])/24 + (823*t[51])/96 + (409*t[52])/24 + 
       (955*t[53])/48 + (53*t[54])/3 + (47*t[58])/6 - (149*t[59])/12 + 
       (4267*t[60])/24 + (6871*t[61])/24 - (5269*t[62])/48 - (187*t[63])/48 + 
       (1437*t[64])/16 + (1801*t[65])/8 - (23057*t[66])/72 - 4*t[68] - 
       7*t[69] - (13*t[70])/3 + (13*t[71])/3 - 25*t[72] + 16*t[73] - 
       10*t[74] - 50*t[75] - (51*t[76])/2 - (13*t[77])/2 + 53*t[78] + 
       20*t[79] + 121*t[80] + (109*t[81])/6 + t[82] + 17*t[83] + 
       (845*t[84])/8 + (1355*t[85])/24 + 113*t[86] + (1147*t[87])/24 + 
       (1507*t[88])/48 + (1565*t[89])/48 - 16*t[95] - (94*t[96])/3 - 
       (127*t[97])/6 - 188*t[98] + 308*t[99] - 357*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      (2*t[1] - (21*t[2])/4 + (895*t[3])/16 + (1265*t[4])/16 + 
       (577*t[5])/16 - (2587*t[6])/32 - (217*t[7])/16 - (1047*t[8])/16 - 
       (1413*t[9])/16 + (377*t[10])/32 + (4421*t[11])/32 - (1363*t[12])/32 - 
       (8677*t[13])/288 - (7*t[14])/64 - (659*t[15])/32 + t[16] - 
       (7*t[17])/4 - 6*t[19] - 10*t[20] - 6*t[21] + 16*t[22] + 6*t[23] - 
       (3*t[24])/2 + (9*t[25])/2 - (11*t[26])/2 + 5*t[27] - 11*t[28] - 
       (37*t[29])/4 - (37*t[30])/4 + 10*t[31] + (9*t[32])/4 - (35*t[33])/4 - 
       11*t[34] + 19*t[35] - (31*t[36])/2 + 10*t[37] + 10*t[38] + 21*t[39] + 
       6*t[40] - (15*t[41])/4 + (15*t[42])/4 - (119*t[43])/16 + 
       (29*t[44])/8 + (117*t[45])/8 + (9*t[46])/4 - (39*t[47])/4 - 
       (1303*t[48])/32 + (1561*t[49])/32 - (899*t[50])/32 - (1485*t[51])/64 - 
       (77*t[52])/32 - (1377*t[53])/32 - (1979*t[54])/32 + t[55]/4 + 
       (3*t[56])/2 + 3*t[57] - (7*t[58])/2 - (45*t[59])/8 + (45*t[60])/2 + 
       (841*t[61])/8 - (1919*t[62])/16 + (1843*t[63])/16 + (303*t[64])/16 - 
       (4549*t[65])/24 - (785*t[66])/8 + t[68]/2 - 7*t[69] + 3*t[72] + 
       (75*t[74])/2 - 20*t[75] + (133*t[76])/4 - 2*t[77] - (129*t[78])/2 - 
       2*t[79] - (77*t[80])/2 + (63*t[81])/4 + (39*t[82])/4 + (55*t[83])/2 - 
       (273*t[84])/8 + (89*t[85])/8 + 45*t[86] - (731*t[87])/8 - 
       (759*t[88])/16 - (449*t[89])/4 - 2*t[93] + 9*t[95] + 12*t[96] + 
       (35*t[97])/4 + 180*t[98] - 172*t[99] - 323*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((25*t[1])/4 - (15*t[2])/4 - (181*t[3])/8 + (1263*t[4])/16 - 
       (465*t[5])/32 - (211*t[6])/16 + (285*t[7])/4 + (87*t[8])/8 - 
       (613*t[9])/32 - (1173*t[10])/32 + (1131*t[11])/8 + (15*t[12])/8 + 
       (6431*t[13])/144 + (19433*t[14])/192 - (2671*t[15])/576 - t[16] - 
       t[17] + t[18] - 7*t[19] - 3*t[20] + 8*t[21] - 5*t[22] - 8*t[23] - 
       (5*t[24])/2 + (11*t[25])/2 - (19*t[26])/4 - 7*t[27] + t[28] - 
       (9*t[29])/4 + 20*t[30] + 2*t[31] - 2*t[32] + t[33]/2 - 15*t[34] - 
       7*t[35] + (15*t[36])/2 + (29*t[37])/2 + 5*t[38] - (11*t[39])/4 + 
       14*t[40] + (17*t[41])/4 - (15*t[42])/4 + (49*t[43])/16 + 
       (73*t[44])/8 - (67*t[45])/4 - (21*t[46])/2 + (133*t[47])/4 + 
       (533*t[48])/16 + (1513*t[49])/32 - (847*t[50])/16 - (159*t[51])/64 + 
       (375*t[52])/16 - (1057*t[53])/32 - (39*t[54])/4 + t[57] - 
       (9*t[58])/4 + (21*t[59])/8 + (3193*t[60])/16 + (5155*t[61])/16 - 
       (8861*t[62])/32 - (2655*t[63])/32 - (1197*t[64])/32 - 
       (6689*t[65])/48 - (14263*t[66])/48 + t[67]/2 + (13*t[68])/2 - 
       7*t[69] - 5*t[70] + 5*t[71] - 6*t[72] - 12*t[73] - (11*t[74])/2 + 
       4*t[75] + (33*t[76])/2 + 7*t[77] - (93*t[78])/4 - 4*t[79] + 
       (113*t[80])/2 + 24*t[81] - (63*t[82])/2 + (49*t[83])/2 - 
       (171*t[84])/16 - (561*t[85])/16 + (353*t[86])/4 - (1755*t[87])/16 - 
       (1651*t[88])/32 - (411*t[89])/32 + t[91]/12 + t[92]/2 - t[93] - 
       t[94]/2 + 5*t[95] + 20*t[96] + (55*t[97])/4 + 180*t[98] - 172*t[99] - 
       323*t[100]) + HPL[{0, 1}, 1 - u]*Qep[w, u, v]*
      ((304*t[1])/9 - (128*t[2])/9 + (544*t[3])/9 + (2572*t[4])/9 + 76*t[5] - 
       (796*t[6])/9 - 80*t[7] - (320*t[8])/3 + (52*t[9])/3 - (1790*t[10])/9 + 
       (3716*t[11])/9 - (818*t[12])/9 + (8132*t[13])/27 - (2339*t[14])/27 - 
       (2240*t[15])/27 + (64*t[25])/9 - (608*t[26])/9 - (64*t[27])/9 - 
       (32*t[30])/3 - (224*t[31])/9 + (128*t[34])/9 - (64*t[36])/3 + 
       (32*t[37])/9 + (448*t[38])/9 + (64*t[39])/9 + (160*t[40])/9 - 
       (64*t[41])/9 + (64*t[42])/9 - (16*t[43])/3 + (32*t[45])/9 + 
       (64*t[46])/9 - (64*t[47])/9 - 28*t[48] - (278*t[49])/3 - 28*t[50] + 
       (503*t[51])/9 - (44*t[52])/3 + 26*t[53] - (496*t[54])/3 - 
       (64*t[58])/9 - (224*t[59])/9 + (5492*t[60])/9 - (620*t[61])/9 - 
       (290*t[62])/9 - (4094*t[63])/9 - (1634*t[64])/9 - (3116*t[65])/27 - 
       (17620*t[66])/27 + (64*t[70])/9 - (64*t[71])/9 + (64*t[72])/9 + 
       (64*t[73])/3 + (64*t[74])/3 - (64*t[75])/3 + (352*t[76])/9 + 
       (32*t[77])/9 - (320*t[78])/9 + (640*t[80])/9 + 96*t[81] - 
       (128*t[82])/9 - (320*t[83])/9 + (1828*t[84])/9 + (1396*t[85])/9 - 
       (128*t[86])/3 - (1468*t[87])/9 - 46*t[88] - (34*t[89])/9 - 
       (64*t[95])/3 - (256*t[96])/9 + (128*t[98])/3 - 320*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-5*t[1])/2 + (7*t[2])/2 + 11*t[3] + (13*t[4])/4 - (47*t[5])/2 + 
       (5*t[6])/4 + 2*t[7] - (7*t[8])/2 + (47*t[9])/2 - (821*t[10])/8 + 
       (43*t[11])/2 - (9*t[12])/8 - (223*t[13])/8 + (665*t[14])/48 - 
       (325*t[15])/24 - 4*t[25] + t[26] + 8*t[28] + 2*t[29] + t[34] - 
       4*t[35] + 4*t[36] + 2*t[37] + 2*t[38] + t[40] - t[41]/2 + t[42]/2 + 
       t[43] - 2*t[44] + (5*t[45])/2 + 2*t[46] - 5*t[47] - 4*t[48] - 
       (31*t[49])/8 - 6*t[50] - (33*t[51])/16 + 7*t[52] + (103*t[53])/8 + 
       (65*t[54])/4 - t[58] - 5*t[59] - (33*t[60])/4 + (93*t[61])/4 + 
       (247*t[62])/8 + (441*t[63])/8 - (25*t[64])/8 - (551*t[65])/12 - 
       (137*t[66])/4 - 4*t[70] + 4*t[71] - 12*t[72] + 16*t[73] - 2*t[74] - 
       32*t[75] + 17*t[76] - 10*t[77] - 26*t[78] + 4*t[79] + 8*t[80] + 
       10*t[81] - 5*t[82] - 4*t[83] - (27*t[84])/4 + (115*t[85])/4 + 
       45*t[86] - (135*t[87])/4 - (287*t[88])/8 - (403*t[89])/8 - 2*t[93] + 
       4*t[95] + 4*t[96] - 2*t[97] + 96*t[98] - 8*t[99] - 288*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (10*t[1] + (13*t[2])/2 - (175*t[3])/4 + (85*t[4])/4 - (77*t[5])/4 + 
       (51*t[6])/2 + 30*t[7] + (81*t[8])/2 + (211*t[9])/4 + (45*t[10])/8 + 
       t[11] - (353*t[12])/8 + (475*t[13])/36 + (1627*t[14])/16 + t[15]/8 + 
       2*t[16] - 8*t[26] - 4*t[28] - 4*t[29] + 5*t[30] - 4*t[31] - 2*t[34] + 
       4*t[35] + 14*t[36] - 2*t[37] + 9*t[38] + 4*t[39] - (17*t[40])/2 + 
       t[41] - t[42] + 30*t[44] - 2*t[45] + 10*t[46] + 4*t[47] + 
       (35*t[48])/2 + (59*t[49])/8 - (49*t[50])/2 - (289*t[51])/16 + 
       (57*t[52])/2 - (99*t[53])/8 + (79*t[54])/4 - t[59]/2 + (373*t[60])/4 + 
       (741*t[61])/4 - (347*t[62])/8 - (213*t[63])/8 - (1371*t[64])/8 - 
       (437*t[65])/12 - (827*t[66])/4 - 2*t[68] + 4*t[69] - 4*t[70] + 
       4*t[71] + 18*t[73] - 2*t[74] - 50*t[75] + 13*t[76] + 8*t[77] + t[78] + 
       8*t[80] + 21*t[81] - 29*t[82] + 10*t[83] + (55*t[84])/4 + 
       (9*t[85])/4 + 8*t[86] - (101*t[87])/4 - (253*t[88])/8 + (17*t[89])/8 + 
       4*t[95] + 10*t[96] + t[97] + 96*t[98] - 8*t[99] - 288*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((107*t[1])/6 - (73*t[3])/3 + (1055*t[4])/12 - (427*t[5])/24 + 
       (43*t[6])/8 + (7*t[7])/4 - (205*t[8])/12 + (205*t[9])/8 - 
       (125*t[10])/4 + (1685*t[11])/24 - (2255*t[12])/24 + (1201*t[13])/18 + 
       (14863*t[14])/144 + (617*t[15])/144 + 3*t[16] + (29*t[25])/3 - 
       23*t[26] + 12*t[27] - 12*t[31] + 3*t[36] - 14*t[37] + (40*t[38])/3 + 
       3*t[45] + 39*t[46] - 6*t[47] - (5*t[48])/8 - (157*t[49])/3 - 
       (391*t[50])/24 - (1955*t[51])/48 + (247*t[52])/24 - (80*t[53])/3 - 
       (5*t[54])/24 - 4*t[59] + (861*t[60])/4 + (749*t[61])/3 - 
       (133*t[62])/2 - (212*t[63])/3 - (1771*t[64])/12 - (116*t[65])/3 - 
       178*t[66] - 3*t[68] + 6*t[70] - 6*t[71] + 18*t[72] + 27*t[73] + 
       8*t[74] - 105*t[75] - 12*t[76] + 3*t[77] + 18*t[78] - 7*t[79] - 
       6*t[80] + (17*t[81])/2 - (59*t[82])/2 + (106*t[83])/3 + 
       (317*t[84])/6 + (149*t[85])/12 - (163*t[86])/3 - 28*t[87] + 13*t[88] + 
       (69*t[89])/2 - 6*t[95] - 6*t[96] + 3*t[97] - 72*t[98] + 108*t[99] - 
       250*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-3*t[1])/2 - (9*t[2])/2 - 6*t[3] - (29*t[4])/12 - (67*t[5])/12 + 
       (93*t[6])/4 + (125*t[7])/12 + (575*t[8])/12 + (31*t[9])/12 + 
       (221*t[10])/12 + (29*t[11])/3 - (124*t[12])/3 - (1367*t[13])/36 + 
       (5189*t[14])/72 - (259*t[15])/24 + 3*t[25] - 6*t[31] + 2*t[36] - 
       3*t[37] - 3*t[38] + 6*t[39] + 3*t[45] - (9*t[46])/2 - 6*t[47] + 
       (33*t[48])/4 + (17*t[49])/12 - (51*t[50])/4 - (35*t[51])/2 + 
       (27*t[52])/4 - (215*t[53])/12 - (51*t[54])/4 + (9*t[59])/2 + 
       (58*t[60])/3 + 236*t[61] - (1157*t[62])/12 + (1267*t[63])/12 - 
       (547*t[64])/6 + (92*t[65])/9 + (230*t[66])/9 - 3*t[68] + 6*t[70] - 
       6*t[71] - 36*t[72] + 27*t[73] + 3*t[74] - 105*t[75] - 12*t[76] + 
       3*t[77] + 18*t[78] + 17*t[79] - 6*t[80] + 3*t[82] + (214*t[83])/3 + 
       (33*t[84])/2 + (53*t[86])/3 + (605*t[87])/12 + (1253*t[88])/24 - 
       (87*t[89])/8 - 6*t[93] - 6*t[95] - 6*t[96] + 3*t[97] - 72*t[98] + 
       108*t[99] - 250*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(10*t[1] - 39*t[2] + 9*t[3] - 
       (445*t[4])/4 + (241*t[5])/4 - 84*t[6] - (7*t[7])/2 - (115*t[8])/2 - 
       (181*t[9])/4 + t[10]/4 - (13*t[11])/4 + (125*t[12])/2 + (43*t[13])/2 - 
       67*t[14] + (355*t[15])/8 - 13*t[26] - 6*t[34] + 2*t[36] + 13*t[38] + 
       6*t[39] + 12*t[40] + 3*t[41] - 3*t[42] + 3*t[46] - 27*t[48] + 
       (157*t[49])/4 - 75*t[50] + (135*t[51])/4 + 33*t[52] + (47*t[53])/4 + 
       (259*t[54])/4 - 6*t[58] + (11*t[59])/2 - 139*t[60] + 118*t[61] - 
       (181*t[62])/2 + 22*t[63] + (1329*t[64])/4 - (467*t[65])/12 - 
       (359*t[66])/4 + 12*t[72] + 18*t[73] - 20*t[74] + 42*t[75] + 90*t[76] + 
       12*t[77] - 84*t[78] - 18*t[79] + 60*t[80] + 4*t[81] - 16*t[82] - 
       28*t[83] - (619*t[84])/4 - (367*t[85])/4 + 22*t[86] + (21*t[87])/4 - 
       (103*t[88])/8 - 82*t[89] + 40*t[95] + 36*t[96] + 30*t[97] + 
       576*t[98] - 576*t[99] - 240*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-6*t[1] - (13*t[3])/4 - (217*t[4])/8 - 
       (79*t[5])/4 + (99*t[6])/16 + (95*t[7])/4 + (121*t[8])/4 + 32*t[9] + 
       (511*t[10])/16 + (123*t[11])/16 + (701*t[12])/16 - (301*t[13])/8 + 
       (1337*t[14])/32 - (43*t[15])/16 - (9*t[25])/2 + (21*t[26])/2 + 
       10*t[36] - 6*t[38] - (37*t[46])/4 - (45*t[48])/16 + (305*t[49])/16 - 
       (149*t[50])/16 - (25*t[51])/32 + (149*t[52])/16 - (77*t[53])/16 + 
       (347*t[54])/16 + 3*t[59] + 18*t[60] + (465*t[61])/8 - (209*t[62])/2 + 
       (171*t[63])/8 + (115*t[64])/16 - (33*t[65])/8 - (2101*t[66])/24 + 
       24*t[73] - 32*t[75] + 10*t[79] - (7*t[81])/4 + (7*t[82])/4 - 
       46*t[83] - t[84]/8 - t[85]/4 + 82*t[86] - 64*t[87] - (49*t[88])/2 - 
       (921*t[89])/16 + 24*t[99] - 237*t[100]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-6*t[1] - (47*t[3])/4 + (183*t[4])/8 - 
       (205*t[5])/8 + (249*t[6])/16 + (19*t[7])/4 + (113*t[8])/4 + 
       (227*t[9])/8 - (1671*t[10])/16 + (1009*t[11])/16 + (541*t[12])/16 + 
       (1703*t[13])/24 + (547*t[14])/96 + (123*t[15])/8 + (5*t[16])/2 + 
       (65*t[25])/2 - (41*t[26])/2 + t[36] - 12*t[37] - 8*t[38] - 
       (29*t[46])/4 + (393*t[48])/16 + (147*t[49])/16 - (271*t[50])/16 + 
       (459*t[51])/32 + (271*t[52])/16 - (39*t[53])/16 + (469*t[54])/16 - 
       t[59]/2 + 57*t[60] + (659*t[61])/8 + (21*t[62])/8 - (447*t[63])/4 - 
       (1703*t[64])/16 + (83*t[65])/8 - (5201*t[66])/24 - (5*t[67])/2 - 
       18*t[69] + 12*t[70] - 12*t[71] + 24*t[73] + 27*t[74] - 38*t[75] + 
       22*t[79] + 6*t[80] + (11*t[81])/4 - (11*t[82])/4 - 48*t[83] + 
       (67*t[84])/8 - 20*t[85] - 34*t[86] - (245*t[87])/4 - (185*t[88])/8 - 
       (429*t[89])/16 + 24*t[99] - 237*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((93*t[1])/4 - (45*t[2])/8 - (137*t[3])/4 + (437*t[4])/8 - 
       (751*t[5])/16 - (81*t[6])/8 + (1285*t[7])/16 + (49*t[8])/16 + 
       (749*t[9])/8 - (361*t[10])/4 + (3189*t[11])/16 + (419*t[12])/8 + 
       (17519*t[13])/288 + (12647*t[14])/96 - (23*t[15])/3 - 2*t[16] - 
       (3*t[17])/2 + 4*t[19] + t[20] - 2*t[21] + t[22] - 3*t[23] + 2*t[24] + 
       (3*t[25])/2 - t[26]/2 - (7*t[27])/2 + 3*t[29] + 5*t[30] + 2*t[31] - 
       4*t[32] + (3*t[33])/2 + 24*t[34] - 4*t[36] - t[38]/2 - (3*t[39])/2 + 
       4*t[40] - (27*t[41])/4 + (61*t[42])/4 - (291*t[43])/16 - (7*t[44])/2 + 
       (55*t[45])/8 - (43*t[46])/4 + (93*t[47])/4 - (65*t[48])/16 + 
       (197*t[49])/16 - (81*t[50])/16 + (57*t[51])/32 - (271*t[52])/16 - 
       (197*t[53])/16 - t[54]/16 + (3*t[58])/2 - 11*t[59] + (1231*t[60])/8 + 
       (2617*t[61])/8 - (3773*t[62])/16 - (587*t[63])/16 + (843*t[64])/16 + 
       (233*t[65])/3 - (593*t[66])/2 + (9*t[67])/4 + (15*t[68])/2 - t[69] - 
       23*t[70] + 23*t[71] + 4*t[72] - (13*t[74])/2 + 7*t[76] - 5*t[77] + 
       17*t[78] + 12*t[80] + (111*t[81])/4 - (103*t[82])/4 - 12*t[83] + 
       (37*t[84])/2 + (125*t[85])/8 + (127*t[86])/2 - (705*t[87])/8 - 
       (705*t[88])/16 + (11*t[89])/16 + t[90]/2 - t[94] + 24*t[98] + 
       30*t[99] - 222*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-t[1]/2 + (129*t[2])/4 + (1143*t[3])/16 + 
       (109*t[4])/2 + (507*t[5])/8 - (671*t[6])/16 - (151*t[7])/8 - 
       (183*t[8])/2 - (713*t[9])/8 + (27*t[10])/8 + (1805*t[11])/16 - 
       (15*t[12])/8 + (6877*t[13])/144 - (197*t[14])/8 - (2749*t[15])/288 + 
       t[17]/4 + t[18] + 2*t[19] - t[20] + 2*t[21] - 3*t[22] - 8*t[23] - 
       (19*t[27])/2 + (79*t[29])/4 + (41*t[30])/2 - (45*t[32])/4 - 
       (13*t[33])/2 + 10*t[34] + 2*t[37] + 6*t[39] - 3*t[40] + (3*t[41])/4 - 
       (5*t[42])/4 - (7*t[43])/4 - (79*t[44])/8 - (5*t[45])/2 - 
       (11*t[46])/4 - (281*t[48])/16 + (35*t[49])/2 + (119*t[50])/16 - 
       (83*t[51])/16 + (9*t[52])/16 - (35*t[53])/2 - (1125*t[54])/16 + 
       (3*t[55])/4 - (29*t[59])/2 - (189*t[60])/4 + 93*t[61] - 
       (501*t[62])/16 + (1077*t[63])/16 + (223*t[64])/2 - (1823*t[65])/24 - 
       (737*t[66])/8 + (5*t[67])/4 + (3*t[68])/4 - t[69] + 9*t[72] - 
       3*t[74] + (3*t[76])/2 - (3*t[77])/2 + 6*t[78] + 8*t[80] + 
       (27*t[81])/2 - (33*t[82])/2 - 2*t[83] - (277*t[84])/8 - 
       (321*t[85])/8 + t[86] + (327*t[87])/8 - (713*t[88])/16 - 
       (953*t[89])/16 + (5*t[90])/4 + 11*t[95] + 10*t[96] - t[97] + 
       24*t[98] + 30*t[99] - 222*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((38*t[1])/3 - (29*t[2])/6 - 
       (61*t[3])/6 + (151*t[4])/24 + (17*t[5])/6 - (37*t[6])/4 - 
       (55*t[7])/6 + (31*t[8])/6 + (41*t[9])/3 + (853*t[10])/48 + 
       (247*t[11])/12 - (1579*t[12])/48 - (4325*t[13])/216 + 
       (10355*t[14])/288 + (233*t[15])/144 - 4*t[25] - (20*t[26])/3 + 
       (2*t[27])/3 + 4*t[28] + (4*t[31])/3 - (8*t[34])/3 - 8*t[35] + 
       (16*t[37])/3 + (35*t[38])/3 + 7*t[39] + (5*t[40])/3 + (4*t[41])/3 - 
       (4*t[42])/3 - 2*t[44] + (16*t[45])/3 + t[46] - (32*t[47])/3 + 
       (41*t[48])/4 + (1811*t[49])/48 - (85*t[50])/12 - (1523*t[51])/96 + 
       (109*t[52])/12 - (667*t[53])/48 - (85*t[54])/8 - (2*t[58])/3 - 
       (29*t[59])/6 + (119*t[60])/24 + (1693*t[61])/24 + (631*t[62])/48 + 
       (3593*t[63])/48 - (1349*t[64])/16 - (231*t[65])/8 - (5533*t[66])/72 - 
       2*t[69] - (10*t[70])/3 + (10*t[71])/3 - 2*t[72] + 2*t[73] - 4*t[74] - 
       2*t[75] + (76*t[76])/3 + (8*t[77])/3 - (73*t[78])/3 + 15*t[79] + 
       2*t[80] + (56*t[81])/3 + (4*t[82])/3 + (14*t[83])/3 - (81*t[84])/8 + 
       (65*t[85])/24 - 45*t[86] - (661*t[87])/24 - (631*t[88])/16 - 
       (465*t[89])/16 + 4*t[95] + (40*t[96])/3 + 3*t[97] + 160*t[98] - 
       120*t[99] - 207*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 
       1 - v]*((-5*t[1])/8 - (55*t[2])/8 + (243*t[3])/8 - (199*t[4])/16 - 
       (33*t[5])/16 - (411*t[6])/16 + (117*t[7])/8 - (453*t[8])/8 - 
       (21*t[9])/16 + (1313*t[10])/32 - (85*t[11])/16 + (499*t[12])/32 - 
       (341*t[13])/18 - (2383*t[14])/192 - (5*t[15])/4 + t[19] - 
       (3*t[26])/4 + t[27]/2 - 3*t[28] + (11*t[29])/2 + (55*t[30])/4 - 
       5*t[31] - (3*t[32])/2 - (21*t[33])/4 + (21*t[34])/4 - t[35] + 
       2*t[36] - 4*t[37] + t[38]/4 + t[39] - t[41]/8 + t[42]/8 - 
       (7*t[43])/2 + (15*t[44])/2 - (19*t[45])/2 + (9*t[46])/4 + 
       (11*t[47])/2 - (205*t[48])/16 + (3*t[49])/32 + (299*t[50])/16 - 
       (109*t[51])/64 - (343*t[52])/16 + (93*t[53])/32 - (31*t[54])/4 - 
       t[58]/4 + (51*t[59])/8 - (759*t[60])/4 + (83*t[61])/4 + 
       (379*t[62])/8 + (2109*t[63])/8 - 47*t[64] + (143*t[65])/24 + 
       (2069*t[66])/24 - t[68] - 4*t[69] - 7*t[70] + 7*t[71] - 5*t[72] + 
       10*t[73] - 8*t[74] - 22*t[75] + 24*t[76] - (11*t[77])/2 - 
       (113*t[78])/4 + 39*t[79] + 18*t[80] + (77*t[81])/4 + (23*t[82])/2 + 
       (83*t[83])/2 - 59*t[84] - (231*t[85])/4 - 12*t[86] + (207*t[87])/4 - 
       (117*t[88])/8 - (375*t[89])/2 + 4*t[95] + 8*t[96] - (5*t[97])/2 + 
       162*t[98] - 125*t[99] - 203*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((5*t[1])/8 - (73*t[2])/8 - (133*t[3])/4 - 
       (609*t[4])/16 - (61*t[5])/8 + (101*t[6])/16 + (365*t[7])/8 + 
       (349*t[8])/8 + (509*t[9])/8 - (715*t[10])/32 + (749*t[11])/16 + 
       (1405*t[12])/32 + (5255*t[13])/144 + (11789*t[14])/192 + 
       (1925*t[15])/288 + 2*t[18] + 2*t[21] + 3*t[22] - 2*t[23] + 2*t[24] + 
       4*t[25] - (5*t[26])/2 + t[27] + 6*t[28] + 5*t[29] - 8*t[30] + 
       2*t[31] + (25*t[34])/4 - t[35] - (7*t[38])/4 + (9*t[39])/4 - 
       (3*t[40])/2 + (7*t[41])/8 + t[42]/8 - (15*t[43])/8 - 6*t[44] - 
       (23*t[45])/2 + (9*t[46])/2 + 30*t[47] + (93*t[48])/16 - 
       (141*t[49])/32 - (139*t[50])/16 + (251*t[51])/64 + (95*t[52])/16 + 
       (173*t[53])/32 + (37*t[54])/2 + t[56]/2 + t[58]/2 + (9*t[59])/8 + 
       (1193*t[60])/16 + (1891*t[61])/16 - (1923*t[62])/32 - 
       (1045*t[63])/32 + (1435*t[64])/32 + (577*t[65])/16 - (8269*t[66])/48 - 
       t[68] - 4*t[70] + 4*t[71] + t[72]/2 + 11*t[73] - 6*t[74] - 4*t[75] + 
       (41*t[76])/4 + t[77]/2 - (3*t[78])/2 + 47*t[80] + 5*t[81] + t[82] - 
       22*t[83] + (123*t[84])/16 - (29*t[85])/16 + (11*t[86])/2 - 
       (631*t[87])/16 - (631*t[88])/32 - (209*t[89])/32 + (3*t[96])/2 + 
       (7*t[97])/4 + 162*t[98] - 125*t[99] - 203*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]^2*(-4*t[1] + t[2]/2 - 
       (99*t[3])/4 + 6*t[4] - (85*t[5])/8 + (195*t[6])/8 - t[7]/8 + 
       (165*t[8])/8 + 17*t[9] + (89*t[10])/8 + 37*t[11] + (11*t[12])/8 - 
       (1411*t[13])/144 + (2533*t[14])/48 + (461*t[15])/24 - t[16] - 
       2*t[18] + 4*t[19] - 3*t[20] - 5*t[21] + 5*t[23] - 4*t[24] + 2*t[25] - 
       (3*t[26])/2 - 2*t[27] + 4*t[29] + 2*t[30] - 3*t[31] - 2*t[33] - 
       2*t[34] - 2*t[36] - t[38] + 2*t[39] + t[41] - 2*t[42] + (33*t[43])/8 - 
       t[44] + (43*t[45])/4 - 2*t[46] - (51*t[47])/2 + (13*t[48])/4 + 
       (7*t[49])/2 + (11*t[50])/4 - (25*t[51])/16 - (7*t[52])/4 - 
       (7*t[53])/2 + (25*t[54])/2 - t[58] + (7*t[59])/2 + (179*t[60])/8 + 
       (623*t[61])/4 - (289*t[62])/16 + (1613*t[63])/16 - (279*t[64])/4 - 
       (197*t[65])/4 - 23*t[66] + t[67] + (17*t[68])/4 - 3*t[69] + 3*t[70] - 
       3*t[71] + 6*t[72] + 4*t[74] - (23*t[76])/2 - 4*t[77] + (51*t[78])/2 - 
       28*t[80] + (21*t[81])/4 - (39*t[82])/4 + (65*t[84])/4 - 
       (187*t[85])/8 - 37*t[86] - (127*t[87])/8 - (127*t[88])/16 - 
       (211*t[89])/4 - t[90]/4 - 96*t[98] + 156*t[99] - 201*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]^2*(2*t[1] - (17*t[2])/4 - 
       (223*t[3])/8 - (21*t[4])/8 - (13*t[5])/2 + (511*t[6])/16 + 
       (11*t[7])/4 + (625*t[8])/8 + (5*t[9])/2 + (107*t[10])/16 + 
       (205*t[11])/16 + (99*t[12])/16 + (151*t[13])/72 + (4787*t[14])/96 + 
       (194*t[15])/9 + (3*t[19])/2 + 3*t[20] + 3*t[21] - 2*t[22] - 3*t[23] + 
       2*t[24] - (11*t[27])/2 + (7*t[29])/2 + t[30] + (11*t[32])/2 + 
       3*t[33] - 6*t[34] - t[37]/4 + t[38] + 2*t[39] + 2*t[41] - 2*t[42] - 
       t[43]/2 - (19*t[44])/4 + 5*t[45] - (5*t[46])/4 - 12*t[47] + 
       (371*t[48])/16 + (43*t[49])/16 + (27*t[50])/16 + (35*t[51])/32 + 
       (53*t[52])/16 - (43*t[53])/16 + (479*t[54])/16 + t[55]/4 + 4*t[59] + 
       (241*t[60])/8 + (1209*t[61])/8 - (571*t[62])/16 + (999*t[63])/16 - 
       (285*t[64])/16 - (11*t[65])/2 - (139*t[66])/4 + 2*t[70] - 2*t[71] + 
       7*t[72] + t[74] - (33*t[76])/2 - 3*t[77] + (61*t[78])/2 + 2*t[80] + 
       (9*t[81])/4 - (9*t[82])/4 + (41*t[84])/4 - (247*t[85])/8 - 10*t[86] - 
       (43*t[87])/8 + (85*t[88])/16 - (319*t[89])/16 - 2*t[95] - 2*t[96] + 
       2*t[97] - 96*t[98] + 156*t[99] - 201*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-59*t[1])/8 + (45*t[2])/8 - (147*t[3])/8 - (67*t[4])/2 - 
       (1639*t[5])/16 - (419*t[6])/4 + t[7]/4 - (343*t[8])/4 + 
       (2669*t[9])/16 + (1563*t[10])/16 - (191*t[11])/2 - (27*t[12])/2 - 
       (1016*t[13])/9 + (661*t[14])/6 - (1363*t[15])/32 - 21*t[25] + 
       (33*t[26])/4 + 12*t[27] + 6*t[28] - 3*t[29] + t[30] + 38*t[31] + 
       (9*t[34])/4 + 7*t[35] + (3*t[36])/2 + 14*t[37] + 10*t[38] + 
       (117*t[39])/4 - (87*t[40])/4 + (3*t[41])/8 - (3*t[42])/8 - 
       (15*t[43])/2 + (3*t[44])/2 + 6*t[45] + (115*t[46])/2 - 12*t[47] - 
       (211*t[48])/4 + (411*t[49])/16 - 50*t[50] - (237*t[51])/4 + 
       (143*t[52])/4 + (129*t[53])/16 + (175*t[54])/4 - (21*t[58])/4 - 
       (159*t[59])/8 - (461*t[60])/8 + 61*t[61] - (1343*t[62])/16 + 
       (4251*t[63])/16 - (955*t[64])/4 - (673*t[65])/3 - (2051*t[66])/8 - 
       t[67]/2 + 12*t[68] - 18*t[69] + 6*t[70] - 6*t[71] - 42*t[72] - 
       6*t[73] + (47*t[74])/2 + 15*t[75] + (313*t[76])/4 + 18*t[77] - 
       (165*t[78])/4 - (115*t[79])/2 + 47*t[80] + (279*t[81])/4 - 28*t[82] + 
       37*t[83] - (329*t[84])/4 + (375*t[85])/8 - (157*t[86])/2 - 
       (1303*t[87])/8 - (2179*t[88])/16 - (939*t[89])/16 + 27*t[95] + 
       30*t[96] + (33*t[97])/4 + 522*t[98] - 444*t[99] - (387*t[100])/2) + 
     HPL[{0, 1}, 1 - v]*Qep[w, u, v]*((-368*t[1])/9 - (128*t[2])/9 + 
       (944*t[3])/9 + (2170*t[4])/9 + (572*t[5])/9 - (320*t[6])/3 - 
       (640*t[7])/9 - (3152*t[8])/9 + (28*t[9])/9 - (961*t[10])/9 + 
       (104*t[11])/9 - (317*t[12])/9 + (8554*t[13])/81 - (8951*t[14])/54 - 
       (1595*t[15])/27 + (32*t[26])/9 + (64*t[27])/9 + (32*t[30])/3 + 
       (224*t[31])/9 + (128*t[34])/9 + (224*t[37])/9 - (128*t[38])/9 + 
       (160*t[40])/9 - (64*t[41])/9 + (64*t[42])/9 + (16*t[43])/3 + 
       (32*t[45])/9 - (16*t[46])/3 - (64*t[47])/9 - 80*t[48] - (95*t[49])/9 - 
       (80*t[50])/9 - (361*t[51])/18 - (304*t[52])/9 - (377*t[53])/9 - 
       (466*t[54])/3 - (64*t[58])/9 - (32*t[59])/9 + (3986*t[60])/9 - 
       (2810*t[61])/9 + (2477*t[62])/9 - (77*t[63])/9 - (1451*t[64])/3 + 
       (242*t[65])/9 + (6602*t[66])/27 - (64*t[69])/3 + (256*t[70])/9 - 
       (256*t[71])/9 - (64*t[72])/3 + (32*t[73])/3 - (32*t[75])/3 + 
       (608*t[76])/9 - (32*t[77])/9 - (128*t[78])/9 + (304*t[81])/9 + 
       (176*t[82])/9 - (416*t[83])/9 + (362*t[84])/3 + (2198*t[85])/9 - 
       (256*t[86])/3 - (2926*t[87])/9 - 127*t[88] + (257*t[89])/3 - 
       (64*t[95])/3 - (256*t[96])/9 + (1280*t[98])/3 - 384*t[99] - 
       192*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*
      (-t[1]/2 - (327*t[2])/4 + 34*t[3] - 48*t[4] + 47*t[5] + (389*t[6])/8 - 
       (135*t[7])/4 - (39*t[8])/4 - (181*t[9])/2 - (501*t[10])/4 + 
       (1403*t[11])/8 - 5*t[12] + (3715*t[13])/72 + (581*t[14])/24 + 
       (589*t[15])/12 + 4*t[16] - (3*t[17])/2 - 12*t[18] - 12*t[20] + 
       18*t[21] - 2*t[23] + 25*t[24] + 7*t[25] - 13*t[26] - 7*t[27] - 
       4*t[29] + 24*t[30] - 8*t[31] + 16*t[32] - 10*t[33] - 64*t[34] + 
       8*t[36] + 9*t[38] + 10*t[39] - 16*t[40] + 22*t[41] - 25*t[42] - 
       (19*t[43])/4 + 7*t[44] + (73*t[45])/2 - 13*t[46] - 12*t[47] - 
       (165*t[48])/8 - (53*t[49])/2 + (67*t[50])/8 + 28*t[51] + 
       (349*t[52])/8 + (53*t[53])/2 + (93*t[54])/8 - 5*t[58] + 45*t[59] + 
       (167*t[60])/4 + (1845*t[61])/4 - (2533*t[62])/8 + (261*t[63])/8 + 
       (1431*t[64])/8 + 33*t[65] - (673*t[66])/6 - (7*t[67])/2 - 13*t[68] + 
       4*t[69] - 26*t[70] + 26*t[71] + 24*t[72] - 11*t[74] - 12*t[76] + 
       4*t[77] + 50*t[78] + 50*t[80] + (21*t[81])/2 - (29*t[82])/2 + 
       21*t[84] - (257*t[85])/4 + 28*t[86] + (153*t[87])/4 + (153*t[88])/8 - 
       (539*t[89])/8 - 3*t[90] - 4*t[92] + 2*t[94] - 384*t[98] + 540*t[99] - 
       192*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*
      (-t[1] - (267*t[2])/4 + (79*t[3])/4 - (71*t[4])/2 + (1093*t[5])/8 - 
       104*t[6] + 21*t[7] - 175*t[8] - (1167*t[9])/8 - (137*t[10])/4 + 
       (537*t[11])/4 + (231*t[12])/8 + 73*t[13] - (365*t[14])/12 + 
       (8327*t[15])/144 - (3*t[17])/2 + 2*t[19] + 4*t[20] + 4*t[21] - 
       14*t[23] + 6*t[24] + 10*t[27] + 3*t[29] + 26*t[30] - 4*t[32] + 
       12*t[33] - 48*t[34] - 11*t[37] - 18*t[39] + 6*t[40] + 14*t[41] - 
       12*t[42] + (7*t[43])/2 - (27*t[44])/2 + 39*t[45] + 7*t[46] - 
       72*t[47] - 31*t[48] - (163*t[49])/4 + 7*t[50] + (89*t[51])/8 + 
       9*t[52] + (163*t[53])/4 - 60*t[54] - 3*t[55] + 39*t[59] - 
       (175*t[60])/2 + 244*t[61] - 177*t[62] + (179*t[63])/2 + 170*t[64] - 
       (315*t[65])/2 - (445*t[66])/3 - (3*t[67])/2 - 3*t[68] + 4*t[69] - 
       22*t[70] + 22*t[71] + 28*t[72] - 5*t[74] - 51*t[76] + 5*t[77] + 
       31*t[78] + 22*t[80] - 21*t[81] + 51*t[82] - 16*t[84] - (191*t[85])/2 - 
       34*t[86] + (363*t[87])/2 + (231*t[88])/4 - (451*t[89])/4 - 6*t[90] + 
       4*t[95] + 22*t[96] - 2*t[97] - 384*t[98] + 540*t[99] - 192*t[100]) + 
     HPL[{0, 1}, 1 - v]*Qep[v, u, w]*((176*t[1])/3 + (16*t[2])/3 + 
       (758*t[4])/3 - (376*t[5])/3 + 156*t[6] - (128*t[7])/3 + (16*t[8])/3 - 
       (187*t[10])/3 + (940*t[11])/3 - (19*t[12])/3 + (6230*t[13])/27 - 
       (1273*t[14])/18 - (925*t[15])/27 + (64*t[25])/3 - (224*t[26])/3 + 
       (64*t[27])/3 + (64*t[28])/3 - (32*t[30])/3 - 32*t[31] + (32*t[34])/3 - 
       (128*t[35])/3 - (224*t[36])/3 - (64*t[37])/3 + (160*t[38])/3 - 
       (32*t[40])/3 - (16*t[41])/3 + (16*t[42])/3 - (16*t[43])/3 - 
       (128*t[44])/3 + (16*t[46])/3 + 12*t[48] - (589*t[49])/3 + 44*t[50] + 
       (171*t[51])/2 - (100*t[52])/3 + 39*t[53] - 138*t[54] + (32*t[58])/3 - 
       32*t[59] + (1694*t[60])/3 + (130*t[61])/3 + 37*t[62] - 
       (2447*t[63])/3 - (83*t[64])/3 + (1370*t[65])/9 - (1274*t[66])/9 + 
       (64*t[69])/3 + (64*t[70])/3 - (64*t[71])/3 + 64*t[72] + 32*t[73] + 
       (160*t[74])/3 - 32*t[75] - 160*t[76] + (64*t[77])/3 + (608*t[78])/3 + 
       (256*t[79])/3 - (256*t[80])/3 - 32*t[81] - 32*t[82] - 32*t[83] + 
       (754*t[84])/3 + (130*t[85])/3 - (64*t[86])/3 + 194*t[87] + 
       (899*t[88])/3 + (397*t[89])/3 - (256*t[95])/3 - (320*t[96])/3 - 
       (64*t[97])/3 - 1024*t[98] + 1024*t[99] - 192*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((98*t[1])/3 - (131*t[2])/6 + (157*t[3])/24 + (1061*t[4])/12 + 
       (1057*t[5])/16 - (2953*t[6])/24 + (219*t[7])/8 - (541*t[8])/8 - 
       (807*t[9])/16 - (371*t[10])/24 + (3157*t[11])/12 - (1033*t[12])/48 + 
       (19193*t[13])/144 - (3037*t[14])/144 - (403*t[15])/96 - t[16] + 
       (49*t[25])/6 - (185*t[26])/6 + (31*t[27])/3 - 3*t[29] + t[30] - 
       (28*t[31])/3 - (11*t[34])/3 - 10*t[35] - 12*t[36] + (52*t[37])/3 + 
       (107*t[38])/3 + (14*t[39])/3 + (73*t[40])/6 + (11*t[41])/6 - 
       (11*t[42])/6 + (5*t[43])/4 + (7*t[44])/2 - (5*t[45])/12 + 
       (143*t[46])/12 + (5*t[47])/6 - (259*t[48])/8 + (9*t[49])/4 - 
       (185*t[50])/8 + (191*t[51])/24 - (79*t[52])/8 + (71*t[53])/4 - 
       (511*t[54])/8 - (17*t[58])/3 - (34*t[59])/3 + (1189*t[60])/12 + 
       (907*t[61])/24 - (706*t[62])/3 - (3293*t[63])/24 + (8363*t[64])/48 - 
       (17705*t[65])/72 - (26923*t[66])/72 - 5*t[68] - 8*t[69] + 
       (2*t[70])/3 - (2*t[71])/3 + (86*t[72])/3 - 20*t[73] + 22*t[74] + 
       20*t[75] + (463*t[76])/6 + (25*t[77])/3 - (364*t[78])/3 + 4*t[79] + 
       (227*t[80])/3 + (77*t[81])/4 + (281*t[82])/12 + (32*t[83])/3 - 
       (749*t[84])/24 - (149*t[85])/6 + (137*t[86])/2 - (655*t[87])/6 - 
       (207*t[88])/4 - (4055*t[89])/48 - t[91]/6 + 4*t[95] + (88*t[96])/3 + 
       22*t[97] + 280*t[98] - 324*t[99] - 191*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*
      ((-29*t[1])/8 + (27*t[2])/8 + (33*t[3])/8 - (11*t[4])/2 - 
       (273*t[5])/16 - 12*t[6] + (39*t[7])/8 - (147*t[8])/8 + (729*t[9])/16 - 
       (131*t[10])/16 + (71*t[11])/2 + 5*t[12] - (2281*t[13])/48 + 
       (1861*t[14])/48 - (143*t[15])/32 - (9*t[16])/4 - (9*t[25])/2 + 
       4*t[26] + (9*t[34])/4 - 16*t[36] + (11*t[37])/2 - (7*t[38])/4 + 
       6*t[39] + (3*t[40])/2 - (9*t[41])/8 + (9*t[42])/8 + 3*t[45] + 
       12*t[46] - 6*t[47] + (9*t[48])/4 + (219*t[49])/16 + (3*t[50])/4 - 
       (159*t[51])/16 + (169*t[53])/16 + (89*t[54])/4 - (9*t[59])/8 - 
       (131*t[60])/4 + (211*t[61])/4 + (185*t[62])/16 + (1523*t[63])/16 - 
       (151*t[64])/2 - (433*t[65])/8 - (795*t[66])/8 + (3*t[67])/4 - 
       3*t[69] - 3*t[70] + 3*t[71] + 40*t[73] + 13*t[74] - 45*t[75] + 
       18*t[76] - 3*t[77] - (27*t[78])/4 - 3*t[79] + (15*t[80])/2 + 
       (69*t[81])/4 + (9*t[82])/4 - 43*t[83] - (95*t[84])/8 + (73*t[85])/8 - 
       9*t[86] - (487*t[87])/8 - (847*t[88])/16 - (1393*t[89])/16 + 9*t[95] + 
       6*t[96] - (15*t[97])/4 + 108*t[98] - 72*t[99] - 189*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*
      ((-45*t[1])/8 + (9*t[2])/8 - (153*t[3])/8 - (217*t[4])/8 + 3*t[5] + 
       (57*t[6])/4 + (195*t[7])/8 + (345*t[8])/8 + (117*t[9])/8 + 29*t[10] + 
       (123*t[11])/4 + (137*t[12])/4 - (1865*t[13])/48 + (8263*t[14])/96 - 
       (3*t[15])/4 - (9*t[19])/2 - 6*t[25] + (33*t[26])/2 - (9*t[34])/4 + 
       (9*t[36])/2 + (15*t[37])/2 - (33*t[38])/4 + (33*t[39])/4 - 3*t[40] + 
       (9*t[41])/8 - (9*t[42])/8 + 3*t[45] + t[46] - 6*t[47] + 
       (219*t[48])/8 + (73*t[49])/4 - (21*t[50])/8 - (593*t[51])/32 + 
       (63*t[52])/8 + (13*t[53])/2 + (109*t[54])/4 + (39*t[59])/8 - 
       45*t[60] + (195*t[61])/2 - (443*t[62])/4 + (453*t[63])/4 - 
       (167*t[64])/8 - (1005*t[65])/8 - 146*t[66] - 6*t[70] + 6*t[71] + 
       40*t[73] - (9*t[74])/2 - 45*t[75] + (81*t[76])/4 + (3*t[77])/2 - 
       (81*t[78])/4 + 3*t[80] + t[81]/4 + (23*t[82])/4 - 40*t[83] - 
       (179*t[84])/8 - 34*t[85] - 6*t[86] - (47*t[87])/4 - (227*t[88])/8 - 
       (1291*t[89])/16 + 9*t[95] + (39*t[96])/2 + (3*t[97])/4 + 108*t[98] - 
       72*t[99] - 189*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-47*t[1])/4 - 11*t[2] + (313*t[3])/8 + (913*t[4])/8 - 
       (1471*t[5])/16 + (415*t[6])/4 - (1211*t[7])/8 - (1347*t[8])/8 + 
       (155*t[9])/16 - (39*t[10])/16 - (733*t[11])/8 + (51*t[12])/8 - 
       (649*t[13])/24 - (2323*t[14])/96 - (4003*t[15])/96 - 3*t[17] - 
       7*t[18] + 10*t[20] - 12*t[21] + 2*t[23] - 11*t[24] - 2*t[25] + 
       3*t[26] - 4*t[27] + 8*t[28] + 3*t[29] - 30*t[30] + 12*t[31] - 
       4*t[33] + (29*t[34])/2 - 4*t[36] - 7*t[38] + 10*t[39] - (21*t[40])/2 - 
       (11*t[41])/2 + 11*t[42] - (75*t[43])/4 - (35*t[44])/2 + (61*t[45])/4 - 
       (11*t[46])/2 - (125*t[47])/2 + (13*t[48])/2 - (7*t[49])/16 - 
       41*t[50] + (53*t[51])/32 + (99*t[52])/2 - (25*t[53])/16 + 
       (103*t[54])/8 + 6*t[57] - t[58]/2 - (7*t[59])/2 + (1255*t[60])/8 - 
       (937*t[61])/8 + (4855*t[62])/16 + (649*t[63])/16 - (6603*t[64])/16 - 
       (971*t[65])/24 - (243*t[66])/8 - t[67]/2 + 2*t[68] - 4*t[69] + 
       26*t[70] - 26*t[71] + 24*t[72] - 16*t[73] - 25*t[74] + 32*t[75] + 
       (25*t[76])/2 - 19*t[77] - (35*t[78])/2 + 18*t[79] - 179*t[80] + 
       36*t[81] - 23*t[82] - 50*t[83] + (175*t[84])/8 + (455*t[85])/8 - 
       (575*t[86])/2 - (1283*t[87])/8 - (1283*t[88])/16 + (49*t[89])/16 + 
       t[92] + 2*t[93] + t[94] + 4*t[97] + 54*t[98] - 66*t[99] - 
       185*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (-t[1]/4 + (85*t[2])/2 - (307*t[3])/8 + (121*t[4])/8 + (43*t[5])/2 + 
       (733*t[6])/16 - (169*t[7])/2 + (721*t[8])/4 + (23*t[9])/8 + 
       (743*t[10])/16 - (1017*t[11])/16 + (283*t[12])/16 - (425*t[13])/72 + 
       (4715*t[14])/96 - (5927*t[15])/144 + t[17] - t[19] + 6*t[20] + 
       4*t[21] - 12*t[22] - 9*t[23] + 2*t[24] - 8*t[27] - 8*t[28] - 
       20*t[29] - (11*t[30])/2 - 6*t[31] + 24*t[32] - 15*t[33] + 
       (95*t[34])/2 + 6*t[35] - 4*t[36] - t[37] - (7*t[38])/2 + 3*t[39] - 
       (41*t[40])/4 + (3*t[41])/4 - (3*t[42])/4 - (19*t[43])/4 - 
       (27*t[44])/2 - (33*t[45])/2 - 4*t[46] + (7*t[47])/2 + (411*t[48])/16 + 
       (501*t[49])/16 - (1025*t[50])/16 - (613*t[51])/32 + (1337*t[52])/16 - 
       (405*t[53])/16 + (439*t[54])/16 - t[55]/2 - 2*t[56] - 4*t[57] - 
       (49*t[59])/4 + 76*t[60] - 79*t[61] - (271*t[62])/8 - (1153*t[63])/8 + 
       (325*t[64])/4 - (191*t[65])/12 - (239*t[66])/2 + t[67]/2 - 4*t[69] + 
       12*t[70] - 12*t[71] + 16*t[72] + 8*t[73] - 13*t[74] - 40*t[75] + 
       26*t[76] - (15*t[77])/2 - 79*t[78] + 20*t[79] + 16*t[80] + 
       (35*t[81])/2 + (45*t[82])/2 + 26*t[83] + 11*t[84] + 14*t[85] + 
       55*t[86] + 45*t[87] + 26*t[88] + (79*t[89])/4 + 2*t[93] - 4*t[95] + 
       10*t[96] + 7*t[97] + 54*t[98] - 66*t[99] - 185*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-5*t[1])/3 + (22*t[2])/3 - (43*t[3])/6 - (68*t[4])/3 - (191*t[5])/8 + 
       (631*t[6])/24 + t[7] + 50*t[8] + (367*t[9])/8 - (553*t[10])/24 - 
       (221*t[11])/24 + (19*t[12])/3 - (40*t[13])/9 + (257*t[14])/18 - 
       (83*t[15])/16 - (14*t[25])/3 + (16*t[26])/3 - (4*t[27])/3 - 4*t[30] - 
       (14*t[31])/3 + (5*t[34])/3 + 5*t[36] - t[37]/3 - (5*t[38])/3 + 
       (16*t[39])/3 - (2*t[40])/3 - (5*t[41])/6 + (5*t[42])/6 - 2*t[43] + 
       2*t[44] + (11*t[45])/3 - (14*t[46])/3 - (22*t[47])/3 + (157*t[48])/8 + 
       (45*t[49])/8 - (43*t[50])/8 + (139*t[51])/24 + (99*t[52])/8 + 
       (39*t[53])/8 + (231*t[54])/8 - t[58]/3 - (2*t[59])/3 + (43*t[60])/6 + 
       (205*t[61])/12 + (1121*t[62])/24 + (359*t[63])/24 + (77*t[64])/24 + 
       (133*t[65])/9 - (748*t[66])/9 - (14*t[70])/3 + (14*t[71])/3 - 
       (8*t[72])/3 + 12*t[73] - 5*t[74] - 12*t[75] + (40*t[76])/3 - 
       (13*t[77])/3 + (13*t[78])/3 - (8*t[80])/3 + (45*t[81])/2 - 
       (61*t[82])/6 - (14*t[83])/3 + (40*t[84])/3 + (223*t[85])/12 - 
       2*t[86] + (23*t[87])/12 - (171*t[88])/8 - (34*t[89])/3 + 2*t[95] + 
       (2*t[96])/3 - 6*t[97] + 56*t[98] - 12*t[99] - 177*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-497*t[1])/36 + (133*t[2])/36 - (253*t[3])/18 - (1787*t[4])/36 - 
       (415*t[5])/24 + t[6]/72 + (83*t[7])/6 + (49*t[8])/3 + (367*t[9])/8 - 
       (2911*t[10])/288 - (11899*t[11])/144 + (1379*t[12])/288 - 
       (24265*t[13])/432 + (36701*t[14])/864 + (545*t[15])/864 + 4*t[19] - 
       2*t[22] - (83*t[25])/9 + (208*t[26])/9 - (37*t[27])/9 - 10*t[28] + 
       2*t[30] + (130*t[31])/9 - (22*t[34])/9 + 20*t[35] + (31*t[36])/3 + 
       (55*t[37])/18 - (125*t[38])/9 + (58*t[39])/9 - (31*t[40])/18 + 
       (20*t[41])/9 - (20*t[42])/9 + t[43] + (37*t[44])/3 + (31*t[45])/18 - 
       (53*t[46])/9 - (31*t[47])/9 + (257*t[48])/24 + (6235*t[49])/96 - 
       (11*t[50])/24 - (2255*t[51])/72 + (347*t[52])/24 - (2027*t[53])/96 + 
       (387*t[54])/8 - (22*t[58])/9 + (265*t[59])/36 - (14473*t[60])/144 + 
       (799*t[61])/36 + (2737*t[62])/36 + (17747*t[63])/72 - (515*t[64])/9 - 
       (2821*t[65])/216 + (839*t[66])/27 - (19*t[69])/3 - (68*t[70])/9 + 
       (68*t[71])/9 - (113*t[72])/9 + t[73] - (38*t[74])/3 - t[75] + 
       (391*t[76])/9 - (94*t[77])/9 - (227*t[78])/9 - (46*t[79])/3 - 
       (251*t[80])/9 + 22*t[81] + (95*t[82])/18 - (53*t[83])/9 - 
       (284*t[84])/9 + (256*t[85])/9 - 29*t[86] - (511*t[87])/9 - 
       (193*t[88])/2 - (7757*t[89])/288 + (61*t[95])/3 + (203*t[96])/9 - 
       (10*t[97])/3 + (824*t[98])/3 - 230*t[99] - 169*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-49*t[1])/6 - t[2] + 9*t[3] + (275*t[4])/12 + (235*t[5])/12 - 
       (153*t[6])/16 + (259*t[7])/12 - (125*t[8])/12 + (137*t[9])/12 - 
       (1433*t[10])/48 + (2555*t[11])/48 + (505*t[12])/48 + (817*t[13])/36 + 
       (1603*t[14])/96 + (23*t[15])/48 - (3*t[16])/2 + (17*t[25])/2 - 
       (17*t[26])/6 - 3*t[27] - 2*t[28] - 3*t[29] + 2*t[31] + t[34] + 
       2*t[35] + (17*t[36])/3 + 6*t[37] - (23*t[38])/3 + 2*t[40] - t[41]/2 + 
       t[42]/2 + (17*t[44])/2 + 2*t[45] + (15*t[46])/4 - 4*t[47] + 
       (23*t[48])/16 + (517*t[49])/48 - (153*t[50])/16 - (393*t[51])/32 + 
       (73*t[52])/16 - (661*t[53])/48 - (353*t[54])/48 - t[58] + 
       (10*t[59])/3 + (176*t[60])/3 + (2069*t[61])/24 - (275*t[62])/12 - 
       (181*t[63])/24 - (909*t[64])/16 - (98*t[65])/9 - (238*t[66])/3 - 
       t[67]/2 - 8*t[69] + 2*t[72] + 21*t[73] + (34*t[74])/3 - 57*t[75] + 
       4*t[76] - 2*t[77] - 7*t[78] + 19*t[79] - (11*t[81])/12 + 
       (119*t[82])/12 - (25*t[83])/3 + (275*t[84])/12 + (469*t[85])/24 - 
       (23*t[86])/3 - (537*t[87])/8 - (1367*t[88])/48 - (889*t[89])/48 - 
       (14*t[95])/3 + t[97] + 48*t[98] - 48*t[99] - (325*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-17*t[1] - 14*t[2] + 20*t[3] + (59*t[4])/8 + (403*t[5])/8 - 
       (685*t[6])/8 - 15*t[7] - 74*t[8] - (151*t[9])/8 - (137*t[10])/16 - 
       (77*t[11])/8 - (263*t[12])/16 - (79*t[13])/24 + (657*t[14])/32 + 
       t[15]/24 - 2*t[25] + 8*t[26] - 2*t[27] - 6*t[28] - 2*t[30] + 8*t[31] - 
       t[34] + 12*t[35] + 13*t[36] + 5*t[37] - 8*t[38] + 4*t[39] + 9*t[40] + 
       t[41]/2 - t[42]/2 - t[43] + 6*t[44] + t[45] - 4*t[46] - 2*t[47] - 
       (185*t[48])/8 + (917*t[49])/16 - (225*t[50])/8 - (631*t[51])/32 + 
       (41*t[52])/8 - (485*t[53])/16 + 2*t[54] - 5*t[58] + (13*t[59])/2 - 
       (73*t[60])/8 + (331*t[61])/8 - (711*t[62])/16 + (2823*t[63])/16 - 
       (869*t[64])/16 - (2159*t[65])/24 - (1301*t[66])/24 - 6*t[69] + 
       4*t[70] - 4*t[71] - 12*t[72] - 12*t[73] - 7*t[74] + 12*t[75] + 
       63*t[76] - 3*t[77] - 58*t[78] - 24*t[79] + 40*t[80] + (35*t[81])/2 + 
       (19*t[82])/2 + 4*t[83] - (395*t[84])/8 + (139*t[85])/8 - 2*t[86] - 
       (1083*t[87])/8 - (1531*t[88])/16 - (1143*t[89])/16 + 14*t[95] + 
       24*t[96] + 13*t[97] + 408*t[98] - 396*t[99] - 162*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((21*t[1])/2 + (31*t[2])/2 + (113*t[3])/2 - (7*t[4])/4 + 
       (989*t[5])/16 - (129*t[6])/16 + (3*t[7])/4 + (1185*t[8])/8 - 
       (2027*t[9])/16 - (1225*t[10])/8 - (1155*t[11])/16 - (1175*t[12])/16 - 
       (329*t[13])/36 - (1879*t[14])/12 - (2351*t[15])/96 - (9*t[16])/4 - 
       6*t[25] + 6*t[26] - 4*t[27] - 28*t[28] + (7*t[29])/2 - (17*t[30])/2 - 
       43*t[31] - 7*t[32] + 7*t[33] + 4*t[34] - 2*t[35] + (3*t[36])/2 + 
       (15*t[37])/2 + (17*t[38])/4 - (71*t[39])/2 + 24*t[40] - 2*t[41] + 
       2*t[42] + (11*t[43])/2 - (33*t[44])/4 - 29*t[45] - 9*t[46] + 
       51*t[47] + (313*t[48])/16 + (115*t[49])/4 - (199*t[50])/16 - 
       (29*t[51])/2 + (303*t[52])/16 - (171*t[53])/4 + (207*t[54])/16 - 
       t[58]/2 + (23*t[59])/8 - (507*t[60])/4 - (1093*t[61])/4 - 
       (395*t[62])/16 - (1473*t[63])/16 + (1489*t[64])/4 + (259*t[65])/2 + 
       (4183*t[66])/24 + (9*t[68])/2 - 8*t[69] - 18*t[70] + 18*t[71] - 
       7*t[72] - 6*t[73] + 4*t[74] - 66*t[75] + (111*t[76])/4 - 29*t[77] - 
       (169*t[78])/4 + 96*t[79] + 116*t[80] + (31*t[81])/4 + (81*t[82])/4 + 
       122*t[83] + (7*t[84])/2 + (471*t[85])/8 + 404*t[86] + (709*t[87])/8 + 
       (977*t[88])/16 + (71*t[89])/4 - 4*t[93] - (37*t[96])/2 - 
       (37*t[97])/4 + 144*t[98] - 260*t[99] - 160*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((65*t[1])/8 + (7*t[2])/2 - (425*t[3])/8 + (395*t[4])/4 - 
       (551*t[5])/4 + (241*t[6])/4 + (369*t[7])/8 - 62*t[8] + (1755*t[9])/8 + 
       (399*t[10])/8 + 4*t[11] + (289*t[12])/8 + (4165*t[13])/144 + 
       (5431*t[14])/48 - (5771*t[15])/144 - 14*t[25] + (47*t[26])/4 - 
       (9*t[27])/2 + 52*t[28] - 2*t[29] - 19*t[30] + 16*t[31] + 7*t[32] - 
       7*t[33] - (11*t[34])/4 - 34*t[35] + 4*t[36] - 2*t[37] + (11*t[38])/2 + 
       41*t[39] - (159*t[40])/4 + (11*t[41])/8 - (11*t[42])/8 - 
       (69*t[43])/8 + 32*t[44] - 5*t[45] + (27*t[46])/4 + 17*t[47] + 
       (55*t[48])/8 - (343*t[49])/8 - (57*t[50])/8 + (377*t[51])/16 + 
       (163*t[52])/8 + (431*t[53])/8 + (129*t[54])/8 + (7*t[58])/4 - 
       (7*t[59])/4 + (2185*t[60])/8 + (569*t[61])/8 + (769*t[62])/8 - 
       (1589*t[63])/8 - (3687*t[64])/16 - 94*t[65] - (6445*t[66])/24 - 
       6*t[68] + 7*t[72] + 4*t[73] - 8*t[74] + 20*t[75] + (117*t[76])/4 + 
       28*t[77] - (3*t[78])/2 - 36*t[79] - (61*t[80])/2 + (163*t[81])/4 - 
       80*t[82] - 85*t[83] + (293*t[84])/4 + 40*t[85] - (535*t[86])/2 - 
       76*t[87] - (85*t[88])/4 + (1447*t[89])/16 + 3*t[96] - (5*t[97])/2 + 
       144*t[98] - 260*t[99] - 160*t[100]) + HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u]*((-245*t[1])/36 - (131*t[2])/36 - (347*t[3])/72 - 
       (11023*t[4])/288 + (5981*t[5])/144 - (6469*t[6])/96 + (1471*t[7])/72 - 
       (7949*t[8])/144 - (23*t[9])/9 - (23905*t[10])/576 + 
       (10045*t[11])/288 - (7865*t[12])/576 - (35947*t[13])/2592 + 
       (236257*t[14])/3456 + (14923*t[15])/1728 + t[16]/4 + (19*t[25])/4 + 
       (139*t[26])/18 - (245*t[27])/36 - 7*t[28] - t[29]/2 + (8*t[30])/3 + 
       (95*t[31])/9 - t[32] + t[33] - (139*t[34])/36 + 11*t[35] + t[36]/2 + 
       (127*t[37])/18 - (97*t[38])/18 + (21*t[39])/4 + (73*t[40])/9 + 
       (139*t[41])/72 - (139*t[42])/72 + (95*t[43])/24 + (103*t[44])/4 + 
       (475*t[45])/72 - (11*t[46])/6 - (511*t[47])/36 - (445*t[48])/32 + 
       (37213*t[49])/576 - (3985*t[50])/288 - (30037*t[51])/1152 + 
       (1705*t[52])/288 - (10877*t[53])/576 + (827*t[54])/48 - 
       (133*t[58])/36 + (163*t[59])/36 - (17093*t[60])/288 + 
       (27671*t[61])/288 - (26605*t[62])/576 + (128185*t[63])/576 - 
       (7247*t[64])/192 - (48395*t[65])/288 - (145907*t[66])/864 - 
       (9*t[68])/2 - (31*t[69])/3 - (56*t[70])/9 + (56*t[71])/9 - 
       (52*t[72])/3 - (53*t[73])/6 + 12*t[74] + (47*t[75])/6 + 
       (677*t[76])/9 - (143*t[77])/36 - (3389*t[78])/36 - 30*t[79] + 
       34*t[80] + (881*t[81])/72 + (143*t[82])/36 - (89*t[83])/9 - 
       (5399*t[84])/96 - (995*t[85])/288 - (511*t[86])/12 - 
       (32789*t[87])/288 - (7517*t[88])/64 - (17851*t[89])/192 - t[91]/12 - 
       t[93] + (47*t[95])/3 + (607*t[96])/18 + (39*t[97])/4 + 
       (1214*t[98])/3 - 422*t[99] - (315*t[100])/2) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*((-21*t[1])/2 + 21*t[2] - 
       (21*t[3])/4 - (45*t[4])/2 - 61*t[5] + (951*t[6])/16 + (45*t[7])/2 + 
       (81*t[8])/4 + (961*t[9])/8 - (639*t[10])/4 - (691*t[11])/16 + 
       22*t[12] + (1049*t[13])/24 - (283*t[14])/24 - (191*t[15])/48 + 
       3*t[27] + 6*t[30] - 6*t[32] + 6*t[33] + (21*t[34])/2 - (21*t[38])/4 + 
       (27*t[39])/4 - 16*t[40] - (21*t[41])/4 + (21*t[42])/4 + 3*t[43] + 
       6*t[44] - 12*t[45] + (3*t[46])/2 + 18*t[47] + (273*t[48])/16 - 
       (99*t[49])/2 - (87*t[50])/16 + (561*t[51])/16 + (255*t[52])/16 + 
       (57*t[53])/2 + (1095*t[54])/16 - (21*t[59])/4 + (603*t[60])/4 - 
       (617*t[61])/4 + (935*t[62])/8 - (1151*t[63])/8 + (343*t[64])/8 + 
       (135*t[65])/4 - (107*t[66])/2 - 18*t[72] - (9*t[76])/2 + 
       (23*t[77])/2 + 63*t[78] + 15*t[80] + 15*t[81] - (87*t[82])/2 - 
       6*t[83] + 69*t[84] + (159*t[85])/2 + 60*t[86] - 75*t[87] - 
       (75*t[88])/2 + (509*t[89])/8 - 27*t[96] - 21*t[97] - 54*t[98] + 
       198*t[99] - 153*t[100]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v]*((55*t[1])/8 + (105*t[2])/8 - (69*t[3])/4 + 
       (21*t[4])/8 - (689*t[5])/8 + (197*t[6])/4 + (93*t[7])/2 + 78*t[8] + 
       (539*t[9])/8 - (111*t[10])/16 - (673*t[11])/8 - (319*t[12])/16 - 
       (523*t[13])/12 + (817*t[14])/32 - (123*t[15])/8 - 6*t[25] + 
       (21*t[26])/4 + 6*t[30] + 12*t[31] + 6*t[32] - 6*t[33] - (21*t[34])/4 - 
       12*t[37] + 4*t[38] + 6*t[39] - (33*t[40])/2 + (21*t[41])/8 - 
       (21*t[42])/8 + 3*t[43] + 6*t[44] - (21*t[46])/2 + 6*t[47] - 
       (7*t[48])/8 + (375*t[49])/16 + (113*t[50])/8 - (435*t[51])/32 + 
       (97*t[52])/8 - (255*t[53])/16 + 2*t[54] + (21*t[58])/4 - 
       (85*t[59])/8 - (481*t[60])/8 + (13*t[61])/8 + (505*t[62])/8 - 
       (49*t[63])/8 - (161*t[64])/16 + (61*t[65])/6 + (3185*t[66])/24 - 
       (3*t[68])/2 + t[71] - 12*t[72] - (111*t[76])/4 + (147*t[78])/4 - 
       15*t[80] - (51*t[81])/2 + (21*t[82])/4 - (21*t[84])/2 + 19*t[85] + 
       36*t[86] + (127*t[87])/2 + (127*t[88])/4 + (845*t[89])/16 + 
       (3*t[90])/2 - (21*t[97])/4 - 54*t[98] + 198*t[99] - 153*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((8*t[1])/3 - (47*t[2])/6 - (49*t[3])/3 + (125*t[4])/12 + 3*t[5] - 
       (19*t[6])/6 + 18*t[7] + 16*t[8] + 20*t[9] + (121*t[10])/24 + 
       (199*t[11])/3 + (325*t[12])/24 + (373*t[13])/18 + (6791*t[14])/144 - 
       (203*t[15])/72 - (4*t[25])/3 + (2*t[26])/3 - (2*t[27])/3 - 4*t[28] - 
       (4*t[31])/3 - (8*t[34])/3 + 8*t[35] - 2*t[36] + (10*t[37])/3 + 
       (5*t[38])/3 + (17*t[39])/3 - (7*t[40])/3 + (4*t[41])/3 - (4*t[42])/3 + 
       2*t[44] - (2*t[45])/3 + (2*t[46])/3 + (4*t[47])/3 + 11*t[48] + 
       (65*t[49])/8 - 12*t[50] - (167*t[51])/48 + 10*t[52] - (5*t[53])/8 + 
       (13*t[54])/4 - (2*t[58])/3 + (7*t[59])/6 + (451*t[60])/12 + 
       (1193*t[61])/12 - (1985*t[62])/24 - (479*t[63])/24 + (19*t[64])/24 - 
       (2905*t[65])/36 - (5567*t[66])/36 - (4*t[70])/3 + (4*t[71])/3 + 
       (2*t[72])/3 - 4*t[73] - 2*t[74] + 4*t[75] + (62*t[76])/3 + 
       (16*t[77])/3 - (97*t[78])/3 - (10*t[80])/3 + 10*t[81] - (10*t[82])/3 + 
       (8*t[83])/3 - (61*t[84])/12 - (211*t[85])/12 - 20*t[86] - 
       (455*t[87])/12 - (213*t[88])/8 - (559*t[89])/24 + (40*t[96])/3 + 
       5*t[97] + 88*t[98] - 64*t[99] - 148*t[100]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u]*(-12*t[3] - 34*t[4] - 42*t[5] + 
       12*t[7] + 36*t[8] + 54*t[9] + 89*t[10] + 12*t[11] - 13*t[12] - 
       (328*t[13])/3 + 209*t[14] - (158*t[15])/3 + 24*t[46] - 29*t[49] - 
       24*t[50] - 42*t[51] + 24*t[52] + 29*t[53] + 48*t[54] - 58*t[60] + 
       298*t[61] - 202*t[62] + 188*t[63] - 151*t[64] - 140*t[65] - 
       (728*t[66])/3 + 24*t[81] - 24*t[82] - 12*t[84] + 82*t[87] + 41*t[88] - 
       113*t[89] - 144*t[100]) + HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - v]*
      (-25*t[1] - 48*t[4] + 6*t[5] - 6*t[9] - 77*t[10] - 60*t[11] + 
       160*t[12] - (176*t[13])/3 - (55*t[14])/2 + (32*t[15])/3 - 8*t[16] + 
       35*t[26] + 48*t[36] + 48*t[37] - 25*t[38] + 24*t[46] - 77*t[49] - 
       (7*t[51])/2 + 77*t[53] + 24*t[54] + 52*t[59] - 130*t[60] - 92*t[61] + 
       133*t[62] + 91*t[63] + (278*t[65])/3 + (632*t[66])/3 + 8*t[67] - 
       48*t[70] + 48*t[71] - 48*t[74] - 24*t[84] - 24*t[85] + 130*t[87] + 
       65*t[88] + 29*t[89] - 144*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Qep[u, w, v]*((352*t[1])/9 + (176*t[4])/9 - (20*t[5])/9 + (8*t[6])/3 + 
       (88*t[7])/9 + (88*t[8])/9 + (20*t[9])/9 + (700*t[10])/9 + 
       (200*t[11])/9 - (1424*t[12])/9 - (1288*t[13])/27 + (1334*t[14])/9 - 
       (338*t[15])/9 - (352*t[26])/9 + (32*t[36])/9 + (352*t[38])/9 - 
       8*t[46] + (8*t[48])/3 + (292*t[49])/9 + (8*t[50])/3 - (50*t[51])/3 - 
       (8*t[52])/3 - (316*t[53])/9 + (40*t[54])/9 - (176*t[59])/9 + 
       (296*t[60])/9 + (1720*t[61])/9 - (1964*t[62])/9 + (1876*t[63])/9 - 
       (308*t[64])/3 - (4976*t[65])/27 - (2416*t[66])/9 - (64*t[69])/3 - 
       (32*t[73])/3 + (64*t[74])/9 - (224*t[75])/3 + (32*t[79])/3 - 
       (32*t[81])/9 + (32*t[82])/9 + (512*t[83])/9 - (64*t[84])/9 - 
       (112*t[85])/9 + (352*t[86])/9 - (208*t[87])/3 - (296*t[88])/9 - 
       (1396*t[89])/9 - (128*t[95])/9 - (416*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      (-t[1] + (13*t[2])/6 - (193*t[3])/12 - (301*t[4])/24 - (643*t[5])/24 + 
       (931*t[6])/48 + (199*t[7])/12 + (295*t[8])/12 + (247*t[9])/24 + 
       (135*t[10])/4 + (203*t[11])/16 - t[12]/4 - (413*t[13])/18 + 
       (7793*t[14])/144 - (41*t[15])/16 + (7*t[25])/6 + (7*t[26])/3 - 
       (14*t[27])/3 - 2*t[28] + 2*t[29] + (8*t[31])/3 - (2*t[34])/3 + 
       6*t[35] + (17*t[36])/3 - (11*t[37])/3 - (5*t[38])/2 + (2*t[39])/3 - 
       (7*t[40])/3 + t[41]/3 - t[42]/3 + (13*t[43])/4 + 2*t[44] + 
       (29*t[45])/6 - (7*t[46])/12 - (29*t[47])/3 + (73*t[48])/16 + 
       (7*t[49])/12 + (145*t[50])/16 - (107*t[51])/12 - (49*t[52])/16 - 
       (37*t[53])/12 - (677*t[54])/48 + (4*t[58])/3 + t[59]/4 - 
       (21*t[60])/8 + 87*t[61] - (2415*t[62])/16 + (45*t[63])/16 + 
       (457*t[64])/24 - (509*t[65])/24 - (5449*t[66])/72 + (2*t[70])/3 - 
       (2*t[71])/3 - t[72]/3 + 25*t[73] - (2*t[74])/3 - 57*t[75] - 
       (43*t[76])/3 + t[77]/3 + (47*t[78])/3 - 5*t[79] - (40*t[80])/3 - 
       (47*t[81])/12 - (185*t[82])/12 + (103*t[83])/3 + (299*t[84])/24 + 
       (31*t[85])/12 + (223*t[86])/3 + (46*t[87])/3 + (193*t[88])/12 - 
       (163*t[89])/8 - (20*t[95])/3 - (8*t[96])/3 - 2*t[97] - 56*t[98] + 
       60*t[99] - (265*t[100])/2) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u]*
      ((-5*t[1])/2 + (29*t[2])/4 - (93*t[3])/2 + 15*t[4] - (29*t[5])/4 + 
       (881*t[6])/8 + (57*t[7])/2 + (703*t[8])/4 + (47*t[9])/4 - 30*t[10] + 
       (349*t[11])/8 - (107*t[12])/4 - (220*t[13])/3 + (3083*t[14])/24 + 
       (13*t[15])/24 - 3*t[19] + 6*t[25] - 18*t[27] - 4*t[33] - 2*t[34] + 
       3*t[37] - 3*t[38] + (83*t[39])/2 - 42*t[40] + t[41] - t[42] + 
       3*t[45] - (29*t[46])/2 - 6*t[47] + (399*t[48])/8 + (195*t[49])/4 - 
       (129*t[50])/8 - (29*t[51])/2 + (497*t[52])/8 - (175*t[53])/4 - 
       (231*t[54])/8 - t[55]/2 + 8*t[58] + t[59]/2 + (633*t[60])/4 + 
       (1175*t[61])/4 - (1763*t[62])/8 - (845*t[63])/8 - (1761*t[64])/8 - 
       (55*t[65])/2 - (283*t[66])/3 - t[67]/2 - 6*t[70] + 6*t[71] - t[74] + 
       16*t[76] + 40*t[77] - 34*t[78] + 6*t[80] + (13*t[81])/2 - 
       (13*t[82])/2 + (9*t[84])/2 + (9*t[85])/4 - 6*t[86] - (37*t[87])/4 - 
       (37*t[88])/8 + (165*t[89])/8 - 4*t[92] + 4*t[94] - 96*t[98] + 
       132*t[99] - 132*t[100]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - v]*
      (-64*t[1] - 7*t[2] + (255*t[3])/4 + 7*t[4] + (143*t[5])/8 - 
       (213*t[6])/2 - (237*t[7])/4 - 140*t[8] - (443*t[9])/8 - 9*t[10] - 
       (15*t[11])/4 + (1517*t[12])/8 - (3695*t[13])/24 - (1721*t[14])/24 - 
       (1339*t[15])/48 - 8*t[16] + t[25] + (75*t[26])/2 - 3*t[27] + 4*t[33] + 
       4*t[34] - 16*t[36] - 6*t[37] - 42*t[38] + 4*t[39] - 3*t[40] - 
       2*t[41] + 2*t[42] + 3*t[45] + 13*t[46] - 6*t[47] - (129*t[48])/4 - 
       (43*t[49])/2 + (63*t[50])/4 - t[51]/2 - (31*t[52])/4 + (123*t[53])/2 - 
       (461*t[54])/4 - 4*t[55] + (3*t[58])/2 - t[59] - 157*t[60] - 
       (209*t[61])/2 + (475*t[62])/4 + (1447*t[63])/4 + (99*t[64])/2 - 
       (3113*t[65])/12 + (2245*t[66])/12 + 4*t[67] + 15*t[68] + 8*t[74] + 
       (35*t[76])/2 + t[77] - (275*t[78])/2 - (65*t[81])/2 + 42*t[82] - 
       (277*t[84])/4 + (75*t[85])/2 - 6*t[86] + (121*t[87])/2 + 
       (121*t[88])/4 - 163*t[89] + 4*t[92] - 4*t[94] - 6*t[97] - 96*t[98] + 
       132*t[99] - 132*t[100]) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*
      ((64*t[1])/3 - (289*t[2])/24 + (38*t[3])/3 + (1951*t[4])/32 + 
       (1279*t[5])/48 - (1295*t[6])/24 - (67*t[7])/12 - (347*t[8])/6 + 
       (781*t[9])/48 - (7795*t[10])/192 + (2233*t[11])/16 - 
       (6899*t[12])/192 + (24257*t[13])/288 - (25595*t[14])/1152 - 
       (29815*t[15])/1728 + 2*t[19] - 2*t[20] - 2*t[21] + 2*t[22] + 2*t[23] - 
       (10*t[25])/3 - (149*t[26])/6 + (8*t[27])/3 + (23*t[28])/6 - 
       (13*t[30])/6 - (65*t[31])/6 + (2*t[34])/3 - (23*t[35])/3 + 
       (7*t[36])/6 + (40*t[37])/3 + (151*t[38])/6 - (2*t[39])/3 + 
       (35*t[40])/6 - (4*t[41])/3 + (4*t[42])/3 - (13*t[43])/12 - 
       (25*t[44])/6 + t[45] + (9*t[46])/2 - 2*t[47] - (371*t[48])/24 - 
       (1489*t[49])/192 - (251*t[50])/24 + (7735*t[51])/384 - (31*t[52])/8 + 
       (2737*t[53])/192 - (1867*t[54])/96 - (13*t[58])/3 - (25*t[59])/3 + 
       (3841*t[60])/32 - (3257*t[61])/96 - (2673*t[62])/64 - 
       (14597*t[63])/192 + (1393*t[64])/64 - (4417*t[65])/32 - 
       (9275*t[66])/32 - (10*t[70])/3 + (10*t[71])/3 + (41*t[72])/3 - 
       t[73]/3 + (8*t[74])/3 + t[75]/3 + 41*t[76] - (4*t[77])/3 - 
       (313*t[78])/6 + (109*t[80])/3 + (215*t[81])/6 - (25*t[82])/6 - 
       (3*t[83])/2 + (895*t[84])/96 + (1943*t[85])/96 - (40*t[86])/3 - 
       (9623*t[87])/96 - (4285*t[88])/64 - (12371*t[89])/192 + (26*t[95])/3 + 
       (34*t[96])/3 + (37*t[97])/6 + 194*t[98] - 206*t[99] - 131*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-10*t[3] + 10*t[4] - 36*t[5] - (5*t[6])/2 + 9*t[7] - 7*t[8] + 
       28*t[9] - 19*t[10] + (25*t[11])/2 - 4*t[12] + (2*t[13])/3 + 
       (71*t[14])/12 + (7*t[15])/6 + 4*t[25] - 4*t[26] - 4*t[27] + 4*t[29] + 
       4*t[36] - 2*t[46] + t[48]/2 + 8*t[49] + t[50]/2 + (5*t[51])/4 - 
       t[52]/2 - 5*t[53] - (3*t[54])/2 + 5*t[60] + 56*t[61] - 35*t[62] + 
       t[63] - (151*t[64])/2 - (31*t[65])/3 - 59*t[66] - 2*t[69] + 2*t[72] - 
       4*t[75] - 6*t[76] - 8*t[79] + 4*t[80] + 2*t[81] - 14*t[82] + 
       13*t[83] - 3*t[84] - 8*t[85] + 36*t[86] - 21*t[87] - (21*t[88])/2 - 
       (31*t[89])/2 + 16*t[99] - 122*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((3*t[3])/2 - 21*t[4] + 
       (59*t[5])/4 + (43*t[6])/4 + (31*t[7])/2 + (89*t[8])/2 + (11*t[9])/4 - 
       (95*t[10])/2 + (61*t[11])/4 + (97*t[12])/4 + (11*t[13])/4 - 
       (19*t[14])/6 + (175*t[15])/24 - 2*t[27] + (51*t[48])/4 - 4*t[49] - 
       (49*t[50])/4 + (13*t[51])/2 + (49*t[52])/4 + 7*t[53] + (81*t[54])/4 + 
       (37*t[60])/2 + (71*t[61])/2 + (25*t[62])/4 - (61*t[63])/4 + 
       (111*t[64])/4 + (13*t[65])/2 - (5*t[66])/2 + 4*t[72] - 6*t[76] + 
       8*t[79] - 4*t[81] + 8*t[82] - 28*t[83] + (9*t[84])/2 - (17*t[85])/2 + 
       8*t[86] - (55*t[87])/2 - (55*t[88])/4 - (21*t[89])/4 + 16*t[99] - 
       122*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      (-10*t[3] + 38*t[4] - 71*t[5] - 18*t[6] + 10*t[7] + 30*t[8] + 81*t[9] + 
       93*t[10] + 80*t[11] + 40*t[12] - (83*t[13])/3 + (460*t[14])/3 - 
       (107*t[15])/2 + 44*t[46] - 18*t[48] - 35*t[49] - 38*t[50] - 44*t[51] + 
       38*t[52] + 35*t[53] + 38*t[54] + 46*t[60] + 162*t[61] - 138*t[62] - 
       52*t[63] - 85*t[64] - (406*t[65])/3 - 394*t[66] + 44*t[81] - 
       44*t[82] + 10*t[84] + 56*t[85] - 26*t[87] - 13*t[88] - 51*t[89] - 
       120*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (-15*t[1] - 8*t[4] + 23*t[5] - 23*t[9] - 59*t[10] - 134*t[11] + 
       55*t[12] + 8*t[13] - (129*t[14])/2 + (53*t[15])/6 - 4*t[16] + 
       14*t[26] + 88*t[36] + 32*t[37] - 7*t[38] - 44*t[46] - 15*t[49] + 
       (81*t[51])/2 + 15*t[53] + 35*t[59] - 50*t[60] - 145*t[61] + 
       143*t[62] + 105*t[63] - 50*t[64] + 170*t[65] + (620*t[66])/3 + 
       4*t[67] + 8*t[69] - 40*t[70] + 40*t[71] - 88*t[74] + 50*t[87] + 
       25*t[88] + 51*t[89] - 120*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((205*t[1])/6 - (5*t[2])/6 - (10*t[3])/3 - 
       (3455*t[4])/24 + (15*t[5])/8 - (2095*t[6])/24 + 55*t[7] - 80*t[8] + 
       (325*t[9])/8 + (815*t[10])/48 - (205*t[11])/24 - (1135*t[12])/48 - 
       (5095*t[13])/72 - (1115*t[14])/288 + (85*t[15])/9 - (70*t[25])/3 - 
       (25*t[26])/3 + (40*t[27])/3 + 10*t[28] + 10*t[30] - (10*t[31])/3 - 
       (20*t[34])/3 - 20*t[35] + 25*t[36] + (115*t[37])/3 + (95*t[38])/3 - 
       (10*t[39])/3 + (5*t[40])/3 + (10*t[41])/3 - (10*t[42])/3 + 5*t[43] - 
       10*t[44] - (5*t[45])/3 + (20*t[46])/3 + (10*t[47])/3 - (125*t[48])/8 + 
       (915*t[49])/16 - (5*t[50])/8 + (1235*t[51])/96 + (5*t[52])/8 + 
       (605*t[53])/16 + (225*t[54])/2 - (20*t[58])/3 - (25*t[59])/3 - 
       (6925*t[60])/24 - (1535*t[61])/24 - (1525*t[62])/48 + 
       (15005*t[63])/48 + (12785*t[64])/48 - (20945*t[65])/72 - 
       (18175*t[66])/72 - (70*t[70])/3 + (70*t[71])/3 + (80*t[72])/3 - 
       20*t[73] - 15*t[74] + 20*t[75] + (245*t[76])/3 - (35*t[77])/3 - 
       (355*t[78])/3 + (170*t[80])/3 + (45*t[81])/2 + (85*t[82])/6 + 
       (80*t[83])/3 - (3905*t[84])/24 - (1655*t[85])/24 - 10*t[86] - 
       (2905*t[87])/24 - (2835*t[88])/16 - (10295*t[89])/48 + 50*t[95] + 
       (190*t[96])/3 + 10*t[97] + 520*t[98] - 540*t[99] - 120*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-95*t[1])/6 - (5*t[2])/6 - (50*t[3])/3 - (4175*t[4])/24 + 
       (1175*t[5])/24 - (595*t[6])/8 + (25*t[7])/3 + (260*t[8])/3 - 
       (155*t[9])/24 + (1585*t[10])/48 - (3085*t[11])/24 - (205*t[12])/48 - 
       (29375*t[13])/216 + (28745*t[14])/288 + (155*t[15])/6 - 10*t[25] + 
       (85*t[26])/3 - (40*t[27])/3 - 10*t[28] - 10*t[30] + (10*t[31])/3 - 
       (20*t[34])/3 + 20*t[35] + 35*t[36] - (5*t[37])/3 - (55*t[38])/3 + 
       10*t[39] + (5*t[40])/3 + (10*t[41])/3 - (10*t[42])/3 - 5*t[43] + 
       10*t[44] - (5*t[45])/3 + (10*t[47])/3 + (125*t[48])/8 + 
       (5675*t[49])/48 - (545*t[50])/24 - (4205*t[51])/96 + (545*t[52])/24 - 
       (955*t[53])/48 + (485*t[54])/4 - (20*t[58])/3 + (50*t[59])/3 - 
       (9835*t[60])/24 + (2845*t[61])/24 - (3905*t[62])/48 + 
       (25025*t[63])/48 + (2215*t[64])/16 - (2335*t[65])/24 - 
       (3415*t[66])/72 - (70*t[70])/3 + (70*t[71])/3 - 20*t[73] - 25*t[74] + 
       20*t[75] + (235*t[76])/3 - (25*t[77])/3 - (325*t[78])/3 - 40*t[79] + 
       70*t[80] + (85*t[81])/6 + (155*t[82])/6 + (80*t[83])/3 - 
       (1195*t[84])/8 - (2035*t[85])/24 + 30*t[86] - (1405*t[87])/24 - 
       (2335*t[88])/16 - (2855*t[89])/16 + 50*t[95] + (190*t[96])/3 + 
       10*t[97] + 520*t[98] - 540*t[99] - 120*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((10*t[1])/3 + (13*t[2])/3 + (31*t[3])/6 - (469*t[4])/24 - 
       (191*t[5])/24 + (57*t[6])/8 - (13*t[7])/3 - (38*t[8])/3 + 
       (407*t[9])/24 - (1045*t[10])/48 + (211*t[11])/24 + (121*t[12])/48 - 
       (6217*t[13])/216 + (2539*t[14])/288 - (64*t[15])/9 - 2*t[25] - 
       (10*t[26])/3 + (4*t[27])/3 + 4*t[30] + (14*t[31])/3 + (5*t[34])/3 - 
       5*t[36] + (5*t[37])/3 + (13*t[38])/3 + 4*t[39] - (2*t[40])/3 - 
       (5*t[41])/6 + (5*t[42])/6 + 2*t[43] - 2*t[44] + (5*t[45])/3 + 
       5*t[46] - (10*t[47])/3 - (31*t[48])/8 - (407*t[49])/48 + 
       (155*t[50])/24 - (127*t[51])/96 - (83*t[52])/24 + (415*t[53])/48 + 
       5*t[54] - t[58]/3 - (11*t[59])/3 - (413*t[60])/24 + (1031*t[61])/24 + 
       (797*t[62])/48 + (4195*t[63])/48 - (859*t[64])/16 - (203*t[65])/8 - 
       (1925*t[66])/72 - (2*t[70])/3 + (2*t[71])/3 + 4*t[72] + 6*t[73] + 
       5*t[74] - 8*t[75] + (2*t[76])/3 - (5*t[77])/3 - (29*t[78])/3 - 
       4*t[79] - 2*t[80] + (29*t[81])/6 + t[82]/6 + (28*t[83])/3 + 
       (27*t[84])/8 + (283*t[85])/24 - 10*t[86] - (431*t[87])/24 - 
       (213*t[88])/16 - (625*t[89])/16 - 2*t[95] - (10*t[96])/3 - 4*t[97] - 
       16*t[98] + 44*t[99] - 118*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Qep[w, v, u]*((80*t[1])/9 + (640*t[4])/9 + (44*t[5])/9 + (16*t[6])/3 + 
       (8*t[7])/9 + (8*t[8])/9 - (44*t[9])/9 + (626*t[10])/9 + 
       (220*t[11])/9 - (898*t[12])/9 - (740*t[13])/27 + (923*t[14])/9 - 
       (68*t[15])/3 - (80*t[26])/9 + (160*t[36])/9 + (80*t[38])/9 - 
       (8*t[46])/3 + (16*t[48])/3 + (254*t[49])/9 + (16*t[50])/3 - 41*t[51] - 
       (16*t[52])/3 - (422*t[53])/9 - (328*t[54])/9 - (40*t[59])/9 + 
       (676*t[60])/9 + (1388*t[61])/9 - (1174*t[62])/9 + (1094*t[63])/9 - 
       (458*t[64])/3 - (3448*t[65])/27 - (680*t[66])/9 - (64*t[69])/3 - 
       32*t[73] + (128*t[74])/9 - (160*t[75])/3 + 32*t[79] - (64*t[81])/9 + 
       (64*t[82])/9 + (640*t[83])/9 + (280*t[84])/9 + (184*t[85])/9 + 
       (32*t[86])/9 - (160*t[87])/3 - (136*t[88])/9 - (314*t[89])/9 - 
       (256*t[95])/9 - (352*t[100])/3) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*((17*t[1])/4 - (71*t[2])/2 + 
       (81*t[3])/8 - (49*t[4])/8 + (61*t[5])/4 + (351*t[6])/16 + 
       (29*t[7])/8 - (5*t[8])/4 - (45*t[9])/2 - (1263*t[10])/16 + 
       (1497*t[11])/16 + (183*t[12])/16 + (4327*t[13])/144 + 
       (2665*t[14])/96 + (101*t[15])/6 - (9*t[17])/4 - (11*t[18])/2 - 
       3*t[20] + 10*t[21] - t[22]/2 - 2*t[23] + (31*t[24])/2 + 3*t[25] - 
       (23*t[26])/4 - 3*t[27] - 3*t[29] + 10*t[30] + 8*t[32] - (13*t[33])/2 - 
       17*t[34] + (13*t[38])/2 + (13*t[39])/2 - 8*t[40] + (39*t[41])/4 - 
       (21*t[42])/2 - (39*t[43])/4 + t[44] + (21*t[45])/2 - (9*t[46])/2 + 
       7*t[47] - (147*t[48])/16 - (113*t[49])/16 + (45*t[50])/16 + 
       (325*t[51])/32 + (171*t[52])/16 + (113*t[53])/16 + (29*t[54])/16 - 
       (9*t[58])/4 + 18*t[59] + (113*t[60])/2 + (857*t[61])/4 - 135*t[62] + 
       (15*t[63])/2 + (229*t[64])/4 + (75*t[65])/4 - (1057*t[66])/12 + 
       t[67]/2 + t[68] + 3*t[69] - 17*t[70] + 17*t[71] + 6*t[72] - 3*t[74] + 
       2*t[77] + 19*t[78] + 19*t[80] + 9*t[81] - (19*t[82])/2 + 
       (49*t[84])/4 - 24*t[85] + 21*t[86] - 13*t[87] - (13*t[88])/2 - 
       (97*t[89])/4 - t[90] - t[92] - 120*t[98] + 192*t[99] - 111*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*(-t[1] - (109*t[2])/4 + 
       (21*t[3])/2 + (73*t[4])/8 + (749*t[5])/16 - (341*t[6])/8 + 
       (129*t[7])/8 - (335*t[8])/4 - (823*t[9])/16 - (85*t[10])/16 + 
       (125*t[11])/2 + (23*t[12])/4 + (769*t[13])/24 - (85*t[14])/32 + 
       (6163*t[15])/288 - t[17]/2 + (3*t[19])/2 - 3*t[20] + 3*t[21] - 
       8*t[23] + 2*t[24] - (3*t[27])/2 + (5*t[29])/2 + (29*t[30])/2 - 
       5*t[32] - 2*t[33] - 20*t[34] - (7*t[37])/2 - 2*t[39] + 5*t[40] + 
       6*t[41] - (9*t[42])/2 + t[43]/2 - 11*t[44] + (55*t[45])/4 + 
       (3*t[46])/4 - (115*t[47])/4 - 11*t[48] - (143*t[49])/16 + 
       (7*t[50])/2 + (61*t[51])/32 - t[52]/2 + (143*t[53])/16 - 
       (211*t[54])/8 - (3*t[55])/4 + (33*t[59])/2 - 45*t[60] + 
       (947*t[61])/8 - (925*t[62])/16 + (1065*t[63])/16 + (1091*t[64])/16 - 
       (223*t[65])/3 - (637*t[66])/8 + t[67]/2 - (3*t[68])/4 + 3*t[69] - 
       13*t[70] + 13*t[71] + 3*t[72] - t[74] - (67*t[76])/4 + 7*t[78] + 
       (33*t[80])/2 - (5*t[81])/2 + (27*t[82])/2 - (11*t[84])/4 - 
       (315*t[85])/8 - 18*t[86] + (611*t[87])/8 + (219*t[88])/16 - 
       (725*t[89])/16 - (7*t[90])/4 + 4*t[95] + (25*t[96])/2 - 2*t[97] - 
       120*t[98] + 192*t[99] - 111*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-29*t[1])/3 - 
       (239*t[3])/24 + (367*t[4])/9 - (5273*t[5])/288 + (71*t[6])/6 - 
       (2287*t[7])/144 - (2491*t[8])/144 + (8597*t[9])/288 + 
       (7781*t[10])/144 - (1459*t[11])/144 - (7667*t[12])/288 + 
       (235*t[13])/16 + (83119*t[14])/1728 - (413*t[15])/192 + t[16]/6 - 
       (5*t[19])/3 + (19*t[25])/3 + t[27]/2 + 7*t[28] + 9*t[31] + t[34] - 
       7*t[35] - (25*t[36])/4 + (4*t[37])/3 - 7*t[38] + (49*t[39])/6 - 
       (17*t[40])/3 - t[41]/2 + t[42]/2 + (23*t[45])/3 + (11*t[46])/12 - 
       (46*t[47])/3 + (8*t[48])/3 + (397*t[49])/72 - (77*t[50])/12 - 
       (3131*t[51])/192 + (19*t[52])/4 - (787*t[53])/72 - (257*t[54])/16 - 
       (7*t[58])/6 + 4*t[59] + (733*t[60])/9 + (415*t[61])/3 + 
       (13769*t[62])/288 + (2891*t[63])/288 - (7559*t[64])/36 - 
       (11521*t[65])/432 - (14491*t[66])/432 - t[67]/6 - (7*t[69])/6 - 
       3*t[72] - (73*t[73])/12 + (31*t[74])/3 - (55*t[75])/12 + 
       (17*t[76])/6 + 6*t[77] + (25*t[78])/3 + (13*t[79])/12 - 17*t[80] + 
       (33*t[81])/4 - (101*t[82])/12 - (175*t[83])/18 + (2141*t[84])/48 + 
       (441*t[85])/16 - (3793*t[86])/36 - (2543*t[87])/72 - 
       (2279*t[88])/144 + (1675*t[89])/48 - (10*t[95])/3 + (5*t[96])/3 - 
       (2*t[97])/3 + 8*t[98] + 4*t[99] - (328*t[100])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-10*t[1] + 5*t[2] + (151*t[3])/8 - (405*t[4])/4 + (509*t[5])/8 + 
       (75*t[6])/4 + (209*t[7])/4 + (519*t[8])/4 - (331*t[9])/8 - 
       (589*t[10])/16 - (341*t[11])/2 - (239*t[12])/16 - (3461*t[13])/24 + 
       77*t[14] - (1099*t[15])/48 + 2*t[25] + (31*t[26])/2 + 22*t[27] - 
       5*t[28] + 6*t[29] - 16*t[31] - (7*t[34])/2 + 12*t[35] + (57*t[36])/2 + 
       10*t[37] - (61*t[38])/4 + (17*t[39])/4 + 9*t[40] + t[41]/4 - t[42]/4 + 
       (3*t[43])/8 - 12*t[44] - (71*t[45])/4 - (83*t[46])/2 + (71*t[47])/2 + 
       (425*t[48])/8 + (1247*t[49])/16 - (11*t[50])/8 - (201*t[51])/16 + 
       (143*t[52])/8 - (587*t[53])/16 + (657*t[54])/8 + t[58] + 
       (17*t[59])/4 - (283*t[60])/2 - (59*t[61])/8 - (579*t[62])/16 + 
       (6955*t[63])/16 + (267*t[64])/16 - (295*t[65])/6 + (715*t[66])/4 - 
       12*t[68] - 12*t[69] - 13*t[70] + 13*t[71] - 28*t[72] - 12*t[73] - 
       (69*t[74])/2 - 35*t[75] + (79*t[76])/2 - 22*t[77] - 58*t[78] + 
       31*t[79] + 29*t[80] - (67*t[81])/4 + (279*t[82])/4 + 39*t[83] - 
       89*t[84] - (525*t[85])/8 + 65*t[86] + (795*t[87])/8 + (79*t[88])/16 - 
       (1005*t[89])/8 + 21*t[95] + 22*t[96] - 3*t[97] + 210*t[98] - 
       120*t[99] - (207*t[100])/2) + HPL[{0, 0, 1}, 1 - u]*Omega2[u, v, w]*
      ((19*t[1])/4 - t[2]/2 - (31*t[3])/4 + (61*t[4])/8 - (21*t[5])/4 + 
       (37*t[6])/8 - (9*t[7])/4 + (39*t[8])/4 + (13*t[9])/2 - 
       (141*t[10])/16 + (273*t[11])/8 - (125*t[12])/16 + (185*t[13])/18 + 
       (555*t[14])/32 + (95*t[15])/48 + 2*t[19] - 2*t[20] - 2*t[21] + t[22] + 
       2*t[23] - t[25] - 5*t[26] - t[27] + t[29] + t[30] - 2*t[31] - t[32] + 
       t[33] + t[34]/2 + t[36] + t[37] + (11*t[38])/2 - t[39] + (3*t[40])/2 - 
       (3*t[41])/4 + (3*t[42])/4 - t[43]/2 - 2*t[44] + t[45] - t[46] - 
       2*t[47] + (37*t[48])/8 + (81*t[49])/16 - (3*t[50])/8 + (83*t[51])/32 + 
       (7*t[52])/8 - (9*t[53])/16 + 6*t[54] - t[58] - 2*t[59] + 
       (171*t[60])/8 + (329*t[61])/8 - (105*t[62])/16 + (369*t[63])/16 - 
       (131*t[64])/16 - (255*t[65])/8 - (621*t[66])/8 - 2*t[70] + 2*t[71] + 
       4*t[72] - t[74] + 4*t[76] - 2*t[77] - t[78] - 8*t[80] + (21*t[81])/2 - 
       (9*t[82])/2 + (63*t[84])/8 - (15*t[85])/8 - 12*t[86] - (133*t[87])/8 - 
       (285*t[88])/16 - (415*t[89])/16 + 2*t[95] + 2*t[96] - t[97] + 
       12*t[98] - 102*t[100]) + HPL[{0, 0, 1}, 1 - v]*Omega2[u, v, w]*
      (t[1]/4 + t[2]/2 - (35*t[3])/4 + (45*t[4])/8 - (29*t[5])/8 + 
       (15*t[6])/2 + t[7] + 26*t[8] + (37*t[9])/8 - (115*t[10])/16 + 
       (57*t[11])/4 + (107*t[12])/16 - (13*t[13])/12 + (1741*t[14])/96 + 
       4*t[15] + 2*t[19] + 2*t[20] + 2*t[21] - 2*t[22] - 2*t[23] + t[26] - 
       2*t[27] + t[29] + t[30] + 2*t[31] + t[32] - t[33] - (3*t[34])/2 + 
       t[36] + t[37] - t[38]/2 + 4*t[39] - t[40]/2 + (7*t[41])/4 - 
       (7*t[42])/4 - t[43]/2 - 2*t[44] + t[45] - 2*t[47] + (25*t[48])/4 + 
       (183*t[49])/16 - (3*t[50])/4 - (173*t[51])/32 + (13*t[52])/4 - 
       (63*t[53])/16 + (3*t[54])/8 + (3*t[59])/2 + (19*t[60])/8 + 
       (551*t[61])/8 - (135*t[62])/16 + (447*t[63])/16 - (285*t[64])/16 - 
       (155*t[65])/24 - (593*t[66])/24 - 2*t[70] + 2*t[71] + 2*t[72] - 
       t[74] + 3*t[76] - t[77] - 5*t[78] - 2*t[80] + (11*t[81])/2 + t[82]/2 + 
       t[83] - (7*t[84])/8 - (89*t[85])/8 - 10*t[86] - (39*t[87])/8 - 
       (199*t[88])/16 - (115*t[89])/16 + 2*t[95] + 4*t[96] + t[97] + 
       12*t[98] - 102*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*(15*t[1] - 20*t[2] + 16*t[3] + (719*t[4])/8 + 
       (485*t[5])/8 - (679*t[6])/8 + 3*t[7] - 96*t[8] - (217*t[9])/8 - 
       (235*t[10])/16 + (1395*t[11])/8 - (361*t[12])/16 + (2455*t[13])/24 - 
       (1645*t[14])/96 - (59*t[15])/8 + 4*t[25] - 26*t[26] + 2*t[27] + 
       6*t[28] + 2*t[30] - 8*t[31] - t[34] - 12*t[35] + 3*t[36] + 19*t[37] + 
       20*t[38] - 2*t[39] + 9*t[40] + t[41]/2 - t[42]/2 + t[43] - 6*t[44] - 
       3*t[45] + 4*t[46] + 6*t[47] - (235*t[48])/8 - (21*t[49])/16 - 
       (179*t[50])/8 + (541*t[51])/32 - (69*t[52])/8 + (37*t[53])/16 - 
       (173*t[54])/4 - 5*t[58] - (7*t[59])/2 + (1165*t[60])/8 + 
       (379*t[61])/8 - (2343*t[62])/16 - (1377*t[63])/16 + (531*t[64])/16 - 
       (1381*t[65])/8 - (6553*t[66])/24 - 2*t[69] + 16*t[72] - 12*t[73] + 
       3*t[74] + 12*t[75] + 43*t[76] + 5*t[77] - 66*t[78] + 64*t[80] + 
       (49*t[81])/2 - (3*t[82])/2 + 8*t[83] - (111*t[84])/8 - (149*t[85])/8 - 
       2*t[86] - (1083*t[87])/8 - (955*t[88])/16 - (1049*t[89])/16 + 
       6*t[95] + 16*t[96] + 17*t[97] + 216*t[98] - 252*t[99] - 102*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((299*t[1])/72 - (607*t[2])/144 - (197*t[3])/72 - (1859*t[4])/192 + 
       11*t[5] - (155*t[6])/24 + (97*t[7])/144 + (781*t[8])/48 + 
       (5*t[9])/36 + (7433*t[10])/1152 + (17*t[11])/2 - (5773*t[12])/384 - 
       (59617*t[13])/5184 + (38209*t[14])/2304 + (10525*t[15])/3456 - 
       t[19]/2 - t[20]/2 - t[21]/2 - t[22]/2 + t[23]/2 - (17*t[25])/9 - 
       (47*t[26])/36 - (47*t[27])/18 - (17*t[28])/12 - (5*t[30])/12 - 
       (71*t[31])/36 - (53*t[34])/36 - t[35]/6 + (37*t[36])/6 + 
       (19*t[37])/36 + (31*t[38])/9 + (7*t[39])/12 + (149*t[40])/36 - 
       t[41]/72 + t[42]/72 - (5*t[43])/24 + (17*t[44])/12 + (10*t[45])/9 + 
       t[46]/24 - (20*t[47])/9 + (35*t[48])/8 + (6661*t[49])/384 - 
       (409*t[50])/72 - (23771*t[51])/2304 + (391*t[52])/72 - 
       (6463*t[53])/1152 - (329*t[54])/576 - (2*t[58])/9 - (155*t[59])/72 - 
       (7073*t[60])/576 + (12083*t[61])/192 + (1991*t[62])/1152 + 
       (78377*t[63])/1152 - (77731*t[64])/1152 + (3535*t[65])/576 - 
       (11717*t[66])/1728 - (3*t[69])/2 - (7*t[70])/9 + (7*t[71])/9 + 
       (10*t[72])/3 - (5*t[73])/12 - (23*t[74])/6 - (47*t[75])/12 + 
       (227*t[76])/18 - (97*t[77])/36 - (565*t[78])/36 + (15*t[79])/2 + 
       (35*t[80])/6 + (221*t[81])/36 + (191*t[82])/18 - (5*t[83])/36 - 
       (5935*t[84])/576 - (5767*t[85])/576 - (259*t[86])/18 - 
       (1925*t[87])/576 - (1821*t[88])/128 - (10177*t[89])/384 + 
       (8*t[95])/3 + (113*t[96])/18 + (7*t[97])/3 + (187*t[98])/3 - 
       43*t[99] - (1223*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Qep[v, u, w]*(16*t[1] + (512*t[4])/3 + (32*t[5])/3 + 8*t[6] - 
       (16*t[7])/3 - (16*t[8])/3 - (32*t[9])/3 + 50*t[10] + (196*t[11])/3 - 
       (434*t[12])/3 + (260*t[13])/9 + 79*t[14] - (238*t[15])/9 - 16*t[26] + 
       16*t[38] - (16*t[46])/3 + 8*t[48] + (122*t[49])/3 + 8*t[50] - 
       49*t[51] - 8*t[52] - (202*t[53])/3 - (256*t[54])/3 - 8*t[59] + 
       244*t[60] + (340*t[61])/3 - (218*t[62])/3 - (62*t[63])/3 - 
       (770*t[64])/3 - (1400*t[65])/9 - (632*t[66])/9 - (64*t[69])/3 - 
       (64*t[73])/3 + (64*t[74])/3 - 64*t[75] + (64*t[79])/3 - (32*t[81])/3 + 
       (32*t[82])/3 + (160*t[83])/3 + (232*t[84])/3 + (184*t[85])/3 - 
       (64*t[86])/3 - (416*t[87])/3 - 56*t[88] + (106*t[89])/3 - 
       (128*t[95])/3 - 96*t[100]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*((19*t[1])/2 + 10*t[2] - 11*t[3] - 
       (53*t[4])/4 - (55*t[5])/4 - (129*t[6])/4 + 8*t[7] + 27*t[8] + 
       (57*t[9])/4 - (215*t[10])/8 + (247*t[11])/4 - (57*t[12])/8 + 
       (91*t[13])/4 + (197*t[14])/16 + (9*t[15])/4 - 8*t[23] - 4*t[25] + 
       t[26] + 4*t[30] - 2*t[32] + 2*t[33] + t[34] + 2*t[36] + 2*t[37] + 
       6*t[38] - 2*t[39] + 3*t[40] + (7*t[41])/2 - (7*t[42])/2 - 2*t[44] - 
       2*t[47] + (65*t[48])/4 + (55*t[49])/8 + (17*t[50])/4 + t[51]/16 - 
       (13*t[52])/4 + (17*t[53])/8 + (69*t[54])/2 - t[58] + 11*t[59] - 
       (57*t[60])/4 + (21*t[61])/4 + (125*t[62])/8 + (523*t[63])/8 + 
       (373*t[64])/8 - (115*t[65])/12 - (1831*t[66])/12 - 4*t[70] + 4*t[71] - 
       2*t[74] + 9*t[76] - 4*t[77] - 10*t[78] + 2*t[80] + 10*t[81] - t[82] - 
       (15*t[84])/4 + (23*t[85])/4 - 16*t[86] - (91*t[87])/4 - 
       (243*t[88])/8 - (283*t[89])/8 + 4*t[95] + 4*t[96] - 2*t[97] + 
       48*t[98] - 24*t[99] - 96*t[100]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-15*t[2])/2 - 10*t[3] - (13*t[4])/4 - 
       8*t[5] + 8*t[6] + (65*t[7])/2 - t[8]/2 + 22*t[9] - (25*t[10])/8 + 
       3*t[11] + (11*t[12])/8 - (1051*t[13])/36 - (349*t[14])/48 + 
       (257*t[15])/24 + 8*t[23] + 2*t[26] + 4*t[30] + 4*t[31] + 2*t[32] - 
       2*t[33] - 2*t[34] + 2*t[36] + 4*t[37] - t[38] + 6*t[39] + 5*t[40] - 
       3*t[41] + 3*t[42] - 2*t[44] + 2*t[45] - 2*t[47] + (13*t[48])/2 + 
       (185*t[49])/8 + t[50]/2 - (199*t[51])/16 - (25*t[52])/2 - 
       (65*t[53])/8 + (13*t[54])/4 + (3*t[59])/2 - (469*t[60])/4 + 
       (199*t[61])/4 + (175*t[62])/8 + (729*t[63])/8 + (87*t[64])/8 - 
       (15*t[65])/4 - (653*t[66])/12 - 4*t[70] + 4*t[71] - 4*t[72] - 
       2*t[74] + 9*t[76] - 8*t[77] - 17*t[78] - 12*t[80] + 5*t[81] - t[82] + 
       2*t[83] - (89*t[84])/4 - (47*t[85])/4 - 12*t[86] + (39*t[87])/4 - 
       (113*t[88])/8 - (215*t[89])/8 + 4*t[95] + 10*t[96] + t[97] + 
       48*t[98] - 24*t[99] - 96*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*(3*t[1] - 3*t[2] - (99*t[3])/4 + 
       (73*t[4])/4 - (2513*t[5])/16 - (81*t[6])/4 - (449*t[7])/8 - 
       (1779*t[8])/8 + (449*t[9])/16 + (2901*t[10])/16 + (1533*t[11])/8 + 
       (5*t[12])/4 + (451*t[13])/12 + (171*t[14])/4 + (1469*t[15])/96 - 
       12*t[25] + (3*t[26])/2 - 48*t[27] - 20*t[28] + 12*t[29] + 12*t[30] + 
       24*t[31] + (9*t[34])/2 - 12*t[35] - (57*t[36])/2 - 27*t[37] + 
       (33*t[38])/4 - (129*t[39])/4 + 6*t[40] + (3*t[41])/4 - (3*t[42])/4 + 
       (45*t[43])/8 + 26*t[44] + (147*t[45])/4 + (99*t[46])/2 - 
       (147*t[47])/2 - (803*t[48])/8 - (1557*t[49])/16 + (233*t[50])/8 - 
       (69*t[51])/2 - (389*t[52])/8 + (585*t[53])/16 - (791*t[54])/8 + 
       (9*t[59])/4 - (411*t[60])/4 + (2501*t[61])/8 - (3779*t[62])/16 - 
       (3381*t[63])/16 - (39*t[64])/16 + (196*t[65])/3 - (571*t[66])/4 + 
       24*t[68] + 18*t[69] + 15*t[70] - 15*t[71] + 30*t[72] + 24*t[73] + 
       (81*t[74])/2 + 10*t[75] - (183*t[76])/2 + (13*t[77])/2 + 78*t[78] - 
       26*t[79] - 63*t[80] - (163*t[81])/4 - (479*t[82])/4 + (267*t[84])/4 + 
       (597*t[85])/8 + 102*t[86] - (515*t[87])/8 + (385*t[88])/16 + 
       (31*t[89])/2 - 33*t[95] - 30*t[96] + 3*t[97] - 378*t[98] + 306*t[99] - 
       96*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*
      ((-393*t[1])/8 - (267*t[2])/8 + 27*t[3] - (287*t[4])/8 + 
       (4241*t[5])/16 + (1681*t[6])/16 + (69*t[7])/2 + (253*t[8])/2 - 
       (4501*t[9])/16 - (1883*t[10])/8 + (3179*t[11])/16 + (3115*t[12])/16 + 
       (8405*t[13])/36 - (11231*t[14])/96 + (13361*t[15])/96 + 39*t[25] + 
       (147*t[26])/4 - 18*t[27] + 9*t[29] - (19*t[30])/4 - 32*t[31] - 
       (33*t[34])/4 + 10*t[35] - (21*t[36])/2 - 9*t[37] - (147*t[38])/2 - 
       18*t[39] + (63*t[40])/2 + (9*t[41])/8 - (9*t[42])/8 + 13*t[43] + 
       (39*t[44])/4 + 6*t[45] - 44*t[46] - 12*t[47] + (1499*t[48])/16 - 
       (225*t[49])/2 + (187*t[50])/16 + (2481*t[51])/32 - (391*t[52])/16 + 
       (303*t[53])/4 - (13*t[54])/16 + (9*t[58])/4 + (489*t[59])/8 + 
       (515*t[60])/8 + (529*t[61])/2 + (1009*t[62])/16 - (7353*t[63])/16 + 
       (2227*t[64])/8 + (4129*t[65])/12 + (5573*t[66])/24 - 24*t[68] + 
       12*t[69] + 60*t[72] - 12*t[73] - (23*t[74])/2 + 24*t[75] - 76*t[76] - 
       18*t[77] + (129*t[78])/4 + 20*t[79] - 62*t[80] - (451*t[81])/4 + 
       38*t[82] - 124*t[83] + (359*t[84])/4 - (781*t[85])/8 - 26*t[86] + 
       (637*t[87])/8 + (1537*t[88])/16 + (1113*t[89])/16 - 33*t[95] - 
       12*t[96] + (39*t[97])/4 - 378*t[98] + 306*t[99] - 96*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((35*t[1])/6 + (31*t[2])/48 - (13*t[3])/2 - (865*t[4])/192 - 
       (313*t[5])/32 - (1019*t[6])/96 + (209*t[7])/48 + (47*t[8])/48 + 
       (2567*t[9])/96 - (13525*t[10])/384 + (2221*t[11])/48 + 
       (5267*t[12])/384 + (14963*t[13])/576 - (12349*t[14])/2304 + 
       (1991*t[15])/3456 - t[19]/2 + t[20]/2 + t[21]/2 - t[22] - t[23]/2 - 
       2*t[25] - (9*t[26])/2 - t[27]/3 + (29*t[28])/12 - (7*t[30])/12 - 
       (5*t[31])/4 - t[34]/12 - (11*t[35])/6 - t[36]/4 + (17*t[37])/4 + 
       (25*t[38])/4 + (23*t[39])/6 - (7*t[40])/6 + (13*t[41])/24 - 
       (13*t[42])/24 - (7*t[43])/24 - (7*t[44])/12 + (7*t[45])/12 + 
       (35*t[46])/12 - (7*t[47])/6 + (365*t[48])/96 - (1511*t[49])/384 - 
       (931*t[50])/96 + (11137*t[51])/768 + (233*t[52])/32 + 
       (6119*t[53])/384 + (1391*t[54])/64 - (4*t[58])/3 - (19*t[59])/8 + 
       (971*t[60])/64 - (287*t[61])/192 - (289*t[62])/384 - 
       (5197*t[63])/128 + (3519*t[64])/128 - (29375*t[65])/576 - 
       (84013*t[66])/576 + (4*t[69])/3 - 2*t[70] + 2*t[71] + (11*t[72])/2 + 
       (23*t[73])/12 + (7*t[74])/12 + (53*t[75])/12 + (203*t[76])/12 + 
       (23*t[77])/12 - (161*t[78])/12 - (61*t[79])/12 + (59*t[80])/6 + 
       (403*t[81])/24 - (163*t[82])/24 - (71*t[83])/12 - (2119*t[84])/192 - 
       (713*t[85])/64 - (223*t[86])/12 - (6529*t[87])/192 - 
       (3851*t[88])/128 - (3347*t[89])/128 + (17*t[95])/6 + (15*t[96])/2 + 
       (4*t[97])/3 + 71*t[98] - 52*t[99] - (381*t[100])/4) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((23*t[1])/4 - (37*t[2])/4 - t[3] + (701*t[4])/16 + (189*t[5])/16 - 
       (491*t[6])/16 + (27*t[7])/2 - 42*t[8] - (105*t[9])/16 + 
       (475*t[10])/32 + (1255*t[11])/16 - (275*t[12])/32 + (1957*t[13])/48 + 
       (4961*t[14])/192 - (91*t[15])/24 - t[25] - (11*t[26])/2 + t[27] + 
       3*t[28] + 3*t[30] - t[31] - 2*t[34] - 6*t[35] + (3*t[36])/2 + 
       (11*t[37])/2 + (13*t[38])/2 - t[39] + (7*t[40])/2 + t[41] - t[42] + 
       (3*t[43])/2 - t[45]/2 + 2*t[46] + t[47] - (171*t[48])/16 + 
       (381*t[49])/32 - (195*t[50])/16 - (137*t[51])/64 + (3*t[52])/16 - 
       (141*t[53])/32 - (57*t[54])/4 - 2*t[58] + t[59]/2 + (1063*t[60])/16 + 
       (1109*t[61])/16 - (2609*t[62])/32 - (839*t[63])/32 - (443*t[64])/32 - 
       (5077*t[65])/48 - (7859*t[66])/48 - t[70] + t[71] + 5*t[72] - 
       6*t[73] + (3*t[74])/2 + 6*t[75] + (55*t[76])/2 - t[77]/2 - 
       (71*t[78])/2 + 23*t[80] + (39*t[81])/4 - (31*t[82])/4 + 2*t[83] - 
       (229*t[84])/16 - (43*t[85])/16 - 3*t[86] - (1301*t[87])/16 - 
       (1461*t[88])/32 - (1195*t[89])/32 + 3*t[95] + 13*t[96] + 9*t[97] + 
       156*t[98] - 168*t[99] - (189*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-37*t[1])/4 - (37*t[2])/4 - 2*t[3] + (557*t[4])/16 + (391*t[5])/16 - 
       (501*t[6])/16 - (13*t[7])/2 + 2*t[8] - (355*t[9])/16 + 
       (533*t[10])/32 + (559*t[11])/16 - (41*t[12])/32 + (2693*t[13])/144 + 
       (7957*t[14])/192 + (31*t[15])/8 + 3*t[25] + (11*t[26])/2 - t[27] - 
       3*t[28] - 3*t[30] + t[31] - 2*t[34] + 6*t[35] + (9*t[36])/2 - 
       t[37]/2 - (17*t[38])/2 + 3*t[39] + (7*t[40])/2 + t[41] - t[42] - 
       (3*t[43])/2 - t[45]/2 - 6*t[46] + t[47] - (93*t[48])/16 + 
       (967*t[49])/32 - (277*t[50])/16 - (937*t[51])/64 + (85*t[52])/16 - 
       (695*t[53])/32 - (105*t[54])/8 - 2*t[58] + 8*t[59] + (205*t[60])/16 + 
       (1757*t[61])/16 - (2305*t[62])/32 + (1105*t[63])/32 - 
       (1059*t[64])/32 - (527*t[65])/16 - (2363*t[66])/48 - t[70] + t[71] + 
       3*t[72] - 6*t[73] - (3*t[74])/2 + 6*t[75] + (53*t[76])/2 + t[77]/2 - 
       (65*t[78])/2 - (21*t[79])/2 + 27*t[80] + (29*t[81])/4 + (19*t[82])/4 + 
       2*t[83] - (213*t[84])/16 - (119*t[85])/16 + (9*t[86])/2 - 
       (905*t[87])/16 - (1065*t[88])/32 - (1029*t[89])/32 + 3*t[95] + 
       13*t[96] + 9*t[97] + 156*t[98] - 168*t[99] - (189*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2*(-5*t[3] - (13*t[4])/2 - 
       (23*t[5])/2 + 3*t[6] + t[7] + 11*t[8] + (25*t[9])/2 - (167*t[10])/4 + 
       2*t[11] + (43*t[12])/4 + (16*t[13])/3 + (215*t[14])/24 + 
       (25*t[15])/6 + 4*t[25] - 4*t[26] + 4*t[36] - 2*t[46] + 7*t[48] - 
       (25*t[49])/4 - 7*t[50] + (61*t[51])/8 + 7*t[52] + (37*t[53])/4 + 
       (41*t[54])/2 - t[60]/2 + (67*t[61])/2 + (131*t[62])/4 + (69*t[63])/4 - 
       (383*t[64])/4 - (13*t[65])/6 - (93*t[66])/2 - 2*t[69] - 4*t[75] + 
       4*t[80] - 2*t[81] + 2*t[82] - 9*t[83] - (17*t[84])/2 - (27*t[85])/2 - 
       20*t[86] - (11*t[87])/2 - (11*t[88])/4 - (87*t[89])/4 + 32*t[99] - 
       94*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2*
      (-4*t[1] - (15*t[3])/2 - (41*t[4])/2 - (41*t[5])/4 + (27*t[6])/4 + 
       (13*t[7])/2 + (43*t[8])/2 + (87*t[9])/4 - (17*t[10])/4 - 
       (47*t[11])/4 + (31*t[12])/2 - (115*t[13])/12 + (505*t[14])/24 + 
       (43*t[15])/8 - 2*t[25] + 4*t[26] + 4*t[36] - 2*t[38] - 2*t[46] + 
       (11*t[48])/4 - (9*t[49])/4 - (33*t[50])/4 + (3*t[51])/8 + 
       (33*t[52])/4 + (29*t[53])/4 + (87*t[54])/4 + 2*t[59] + 4*t[60] + 
       63*t[61] + (25*t[62])/2 + (53*t[63])/2 - 108*t[64] + 7*t[65] - 
       25*t[66] + 4*t[69] - 4*t[75] + 4*t[80] - 2*t[81] + 2*t[82] - 6*t[83] - 
       6*t[84] - 8*t[85] - 8*t[86] - 14*t[87] - 7*t[88] - 16*t[89] + 
       32*t[99] - 94*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-7*t[1])/2 - (17*t[2])/12 + (5*t[3])/3 - 
       (775*t[4])/24 + (439*t[5])/48 + (87*t[6])/32 + (101*t[7])/6 + 
       (81*t[8])/2 - (247*t[9])/48 - (515*t[10])/48 + (1043*t[11])/32 + 
       (781*t[12])/24 - (3689*t[13])/432 + (10373*t[14])/288 - 
       (3947*t[15])/288 + (5*t[16])/6 + (5*t[19])/3 - (4*t[25])/3 + 
       (83*t[26])/12 + t[27] - 7*t[28] - t[29] - 7*t[31] - (11*t[34])/6 + 
       7*t[35] + 9*t[36] - (10*t[37])/3 - (59*t[38])/12 - (31*t[39])/6 + 
       6*t[40] + (11*t[41])/12 - (11*t[42])/12 - (19*t[45])/3 - 
       (65*t[46])/12 + (38*t[47])/3 + (437*t[48])/96 - (185*t[49])/24 - 
       (91*t[50])/96 - (467*t[51])/96 + (203*t[52])/96 + (131*t[53])/12 - 
       t[54]/32 + t[58]/3 + (35*t[59])/6 + (181*t[60])/16 + (1499*t[61])/24 - 
       (11899*t[62])/96 + (1991*t[63])/96 + (1385*t[64])/16 - (91*t[65])/48 - 
       (2579*t[66])/144 - t[67]/3 + (47*t[69])/6 - (13*t[70])/6 + 
       (13*t[71])/6 - (5*t[72])/2 + (13*t[73])/12 - (14*t[74])/3 - 
       (173*t[75])/12 + (17*t[76])/6 - (17*t[77])/3 + t[78]/2 + 
       (19*t[79])/3 + 19*t[80] - (139*t[81])/24 + (227*t[82])/24 + 
       (187*t[83])/12 + (143*t[84])/48 - (103*t[85])/24 + (293*t[86])/3 + 
       (1789*t[87])/48 + (591*t[88])/32 - (3407*t[89])/96 - (10*t[95])/3 - 
       (2*t[96])/3 + (13*t[97])/6 + 8*t[98] + 4*t[99] - (187*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((-191*t[1])/36 - (379*t[2])/72 + (65*t[3])/9 + (1949*t[4])/288 + 
       (2261*t[5])/144 - (641*t[6])/24 - (79*t[7])/36 - (287*t[8])/9 + 
       (319*t[9])/144 - (15937*t[10])/576 + (919*t[11])/72 + 
       (403*t[12])/576 + (9053*t[13])/2592 - (37247*t[14])/3456 + 
       (4013*t[15])/1728 - t[22] - t[25] + (49*t[26])/18 - (5*t[27])/9 - 
       (11*t[28])/6 + (13*t[30])/6 + (79*t[31])/18 - t[34]/9 + (11*t[35])/3 + 
       (11*t[36])/6 + (121*t[37])/18 - (49*t[38])/18 + (13*t[39])/6 + 
       (31*t[40])/9 - (4*t[41])/9 + (4*t[42])/9 + (13*t[43])/12 + 
       (17*t[44])/6 + (19*t[45])/18 - t[46]/2 - (19*t[47])/9 - 
       (169*t[48])/24 + (8305*t[49])/576 - (415*t[50])/72 - 
       (3265*t[51])/1152 - (17*t[52])/72 - (2993*t[53])/576 - 
       (649*t[54])/96 - (10*t[58])/9 + (49*t[59])/36 + (5041*t[60])/288 + 
       (2951*t[61])/288 + (2261*t[62])/576 + (22459*t[63])/576 - 
       (7031*t[64])/192 - (1143*t[65])/32 - (14027*t[66])/864 - 
       (11*t[69])/3 + (4*t[70])/9 - (4*t[71])/9 - (25*t[72])/3 - 
       (10*t[73])/3 + (7*t[75])/3 + (361*t[76])/18 - (20*t[77])/9 - 
       (247*t[78])/18 - (25*t[79])/3 + (32*t[80])/3 + (161*t[81])/18 + 
       (50*t[82])/9 + (5*t[83])/18 - (401*t[84])/32 + (3271*t[85])/288 - 
       (22*t[86])/3 - (12503*t[87])/288 - (2335*t[88])/64 - 
       (3823*t[89])/192 + (7*t[95])/3 + (62*t[96])/9 + (19*t[97])/6 + 
       (386*t[98])/3 - 102*t[99] - 92*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*(8*t[1] - (35*t[3])/4 + (135*t[4])/4 - 
       (29*t[5])/4 + (9*t[6])/4 + 2*t[7] - 3*t[8] + (21*t[9])/2 - 
       (63*t[10])/4 + (61*t[11])/2 - 39*t[12] + (2129*t[13])/72 + 
       (659*t[14])/16 - (23*t[15])/24 + t[16] + (9*t[25])/2 - 11*t[26] + 
       4*t[27] - 4*t[31] + t[36] - (11*t[37])/2 + (13*t[38])/2 + t[45] + 
       (37*t[46])/2 - 2*t[47] + t[48]/4 - (47*t[49])/2 - (25*t[50])/4 - 
       (329*t[51])/16 + (17*t[52])/4 - (19*t[53])/2 - t[54]/2 - (7*t[59])/2 + 
       (147*t[60])/2 + 93*t[61] - (241*t[62])/8 - (247*t[63])/8 - 
       (189*t[64])/4 - (83*t[65])/6 - (263*t[66])/3 - t[68] + 2*t[70] - 
       2*t[71] + 6*t[72] + 9*t[73] + 4*t[74] - 47*t[75] - 4*t[76] + t[77] + 
       6*t[78] - t[79] - 2*t[80] + (7*t[81])/2 - (21*t[82])/2 + 22*t[83] + 
       (39*t[84])/2 + (23*t[85])/4 - 15*t[86] - (9*t[87])/4 + (61*t[88])/8 + 
       (121*t[89])/8 - 2*t[95] - 2*t[96] + t[97] - 24*t[98] + 36*t[99] - 
       91*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      (-t[1]/2 - (3*t[2])/2 - 2*t[3] - (19*t[4])/4 - 2*t[5] + (31*t[6])/4 + 
       (15*t[7])/4 + (65*t[8])/4 + t[9] + (35*t[10])/4 - (81*t[12])/4 - 
       (659*t[13])/36 + (1373*t[14])/48 - (25*t[15])/6 + t[25] - 2*t[31] + 
       2*t[36] - t[37] - t[38] + 2*t[39] + t[45] - (3*t[46])/2 - 2*t[47] + 
       (11*t[48])/4 + t[49]/4 - (17*t[50])/4 - (121*t[51])/16 + (9*t[52])/4 - 
       (23*t[53])/4 - (11*t[54])/2 + (3*t[59])/2 - t[60]/2 + 96*t[61] - 
       (295*t[62])/8 + (411*t[63])/8 - 37*t[64] + (85*t[65])/12 + 
       (67*t[66])/4 - t[68] + 2*t[70] - 2*t[71] - 12*t[72] + 9*t[73] + 
       t[74] - 47*t[75] - 4*t[76] + t[77] + 6*t[78] + 7*t[79] - 2*t[80] + 
       t[82] + (67*t[83])/2 + (27*t[84])/4 + (5*t[85])/4 + 7*t[86] + 
       (95*t[87])/4 + (165*t[88])/8 - (23*t[89])/8 - 2*t[93] - 2*t[95] - 
       2*t[96] + t[97] - 24*t[98] + 36*t[99] - 91*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((19*t[1])/6 - 13*t[2] + 3*t[3] - (643*t[4])/24 + (487*t[5])/24 - 
       (55*t[6])/2 - (7*t[7])/12 - (223*t[8])/12 - (367*t[9])/24 + 
       (79*t[10])/24 + (101*t[11])/24 + (167*t[12])/12 + (65*t[13])/9 - 
       (365*t[14])/24 + (199*t[15])/16 - (25*t[26])/6 - 2*t[34] + t[36]/3 + 
       (25*t[38])/6 + 2*t[39] + 4*t[40] + t[41] - t[42] + t[46]/2 - 
       (17*t[48])/2 + (355*t[49])/24 - (49*t[50])/2 + (33*t[51])/4 + 
       (21*t[52])/2 + (17*t[53])/24 + (397*t[54])/24 - 2*t[58] + 
       (23*t[59])/12 - (205*t[60])/6 + (307*t[61])/6 - (124*t[62])/3 + 
       (89*t[63])/12 + (747*t[64])/8 - (1673*t[65])/72 - (925*t[66])/24 + 
       4*t[72] + 5*t[73] - (16*t[74])/3 + 9*t[75] + 30*t[76] + 4*t[77] - 
       28*t[78] - 5*t[79] + 20*t[80] + (2*t[81])/3 - (14*t[82])/3 - 
       (8*t[83])/3 - (1129*t[84])/24 - (649*t[85])/24 + (29*t[86])/3 - 
       (47*t[87])/8 - (337*t[88])/48 - (86*t[89])/3 + (32*t[95])/3 + 
       12*t[96] + 10*t[97] + 192*t[98] - 192*t[99] - 88*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-7*t[3])/4 - (3*t[4])/8 - (61*t[5])/8 - (13*t[6])/8 + 2*t[7] - 
       (7*t[8])/2 + (43*t[9])/8 + (63*t[10])/16 + (15*t[11])/8 - 
       (55*t[12])/16 - (9*t[13])/4 + (143*t[14])/96 - t[15] - t[27] + t[29] - 
       (11*t[48])/8 + (21*t[49])/16 + (9*t[50])/8 - (59*t[51])/32 - 
       (9*t[52])/8 - (21*t[53])/16 - (15*t[54])/4 - (29*t[60])/8 + 
       (81*t[61])/8 - (229*t[62])/16 + (37*t[63])/16 + (65*t[64])/16 + 
       (65*t[65])/24 - (27*t[66])/8 + t[72]/2 - (3*t[76])/2 - 2*t[79] + 
       t[81] - 4*t[82] + 4*t[83] + (3*t[84])/8 + (7*t[85])/8 + 12*t[86] + 
       (9*t[87])/8 + (9*t[88])/16 + (41*t[89])/16 + 102*t[98] - 87*t[99] - 
       88*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((5*t[3])/4 - (33*t[4])/8 + (49*t[5])/8 + 
       (15*t[6])/8 + 2*t[7] + (15*t[8])/2 - (25*t[9])/8 - (225*t[10])/16 + 
       (47*t[11])/8 + (105*t[12])/16 + (29*t[13])/6 - (673*t[14])/96 + 
       (43*t[15])/24 - t[27]/2 + 2*t[46] + (23*t[48])/8 - (87*t[49])/16 - 
       (13*t[50])/8 + (61*t[51])/32 + (13*t[52])/8 + (79*t[53])/16 + 
       (5*t[54])/4 - (123*t[59])/8 - (3347*t[60])/16 - (381*t[61])/16 + 
       (1405*t[62])/32 + (7691*t[63])/32 + (3785*t[64])/32 + 
       (1261*t[65])/48 + (6631*t[66])/48 - 2*t[70] + 2*t[71] + 3*t[72] + 
       6*t[73] - (23*t[74])/2 - 11*t[75] + (53*t[76])/2 - (3*t[77])/2 - 
       30*t[78] + 26*t[79] + 10*t[80] - 23*t[81] + (51*t[82])/4 - 
       (47*t[83])/2 - (545*t[84])/16 - (19*t[85])/16 - 32*t[86] + 
       (395*t[87])/16 + (75*t[88])/32 - (1681*t[89])/32 + 17*t[95] + 
       4*t[96] - 3*t[97] + 102*t[98] - 87*t[99] - 88*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((9*t[1])/8 + (103*t[2])/4 - (105*t[3])/8 - (83*t[4])/4 - (21*t[5])/4 + 
       (693*t[6])/16 - (557*t[7])/8 + (241*t[8])/4 - (387*t[9])/8 - 
       (859*t[10])/16 - (833*t[11])/16 - (345*t[12])/16 - (2071*t[13])/48 - 
       (1835*t[14])/48 - (7*t[15])/8 + t[16]/4 - (3*t[17])/4 - 4*t[18] - 
       (5*t[19])/2 + 7*t[20] + t[21] - 5*t[22] - t[23] - (5*t[24])/2 - 
       (7*t[25])/2 - t[26] - 2*t[27] - (5*t[29])/2 - 2*t[30] + 3*t[31] + 
       (23*t[32])/2 + (21*t[33])/2 - (23*t[34])/4 + 3*t[36] + 5*t[37] + 
       (7*t[38])/2 - (53*t[39])/4 + (5*t[40])/4 - (17*t[41])/8 + t[42]/8 + 
       3*t[43] - (43*t[44])/4 + (17*t[45])/2 - (11*t[46])/2 - (73*t[47])/2 + 
       (293*t[48])/16 + (37*t[49])/16 - (91*t[50])/16 + (145*t[51])/16 + 
       (311*t[52])/16 + (79*t[53])/16 + (623*t[54])/16 + (3*t[55])/4 - 
       (3*t[59])/4 - (47*t[60])/4 - (149*t[61])/4 + (1779*t[62])/16 + 
       (1769*t[63])/16 - (113*t[64])/8 - (2627*t[65])/24 - (283*t[66])/24 + 
       (5*t[68])/2 + 3*t[69] + 13*t[70] - 13*t[71] + 2*t[72] + (9*t[74])/2 - 
       29*t[76] - (37*t[77])/2 + 13*t[78] - 33*t[80] + (3*t[81])/2 + 
       11*t[82] + (55*t[84])/8 + (221*t[85])/8 - 58*t[86] - (95*t[87])/8 - 
       (51*t[88])/16 - (1033*t[89])/16 + t[92]/2 - t[94]/2 - t[95] - t[96] - 
       (3*t[97])/2 - 168*t[98] + 216*t[99] - 78*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-15*t[1])/2 + (113*t[2])/4 - (209*t[3])/4 + 5*t[4] + t[5]/2 + 
       (129*t[6])/16 - 5*t[7] + (439*t[8])/8 - 14*t[9] + (587*t[10])/16 - 
       (553*t[11])/16 - (687*t[12])/16 - (625*t[13])/9 + (385*t[14])/16 + 
       (943*t[15])/36 + (3*t[17])/4 - 6*t[18] - (11*t[19])/2 - 7*t[20] - 
       11*t[21] + 6*t[22] + 11*t[23] - (15*t[24])/2 - 2*t[25] + 
       (25*t[26])/4 - t[27] - t[29] + 7*t[30] + 16*t[32] - 7*t[33] - 
       4*t[34] + (5*t[36])/2 + (5*t[37])/2 - (21*t[38])/4 + 7*t[39] - 
       (39*t[40])/4 - (9*t[41])/2 + (3*t[42])/2 + (65*t[43])/8 - 7*t[44] + 
       (59*t[45])/4 + (21*t[46])/2 - (71*t[47])/2 + (523*t[48])/16 + 
       (301*t[49])/16 + (331*t[50])/16 - (317*t[51])/16 - (27*t[52])/16 + 
       (23*t[53])/16 - (179*t[54])/16 - t[55]/4 - (3*t[58])/4 + 
       (25*t[59])/8 - (231*t[60])/8 + (51*t[61])/4 + (1201*t[62])/16 + 
       (1347*t[63])/16 - (517*t[64])/4 - (1817*t[65])/24 + (93*t[66])/4 - 
       t[67] - (7*t[68])/2 + 11*t[70] - 11*t[71] - 2*t[72] + (7*t[74])/2 - 
       (137*t[76])/4 - (5*t[77])/2 + (129*t[78])/4 - 59*t[80] - 3*t[81] + 
       (9*t[82])/4 + 2*t[83] + (167*t[84])/8 - (179*t[85])/8 - 87*t[86] + 
       (113*t[87])/8 + (53*t[88])/16 - (219*t[89])/16 - t[92] + t[94] + 
       t[95] + 7*t[96] - (5*t[97])/4 - 168*t[98] + 216*t[99] - 78*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-21*t[1])/2 - (7*t[2])/2 - 7*t[3] - 78*t[4] + 33*t[5] - 
       (403*t[6])/8 + (15*t[7])/4 + (143*t[8])/4 - 9*t[9] + (179*t[10])/8 - 
       (477*t[11])/8 - (47*t[12])/8 - (598*t[13])/9 + (329*t[14])/6 + 
       (329*t[15])/24 - 5*t[25] + 16*t[26] - 7*t[27] - 6*t[28] - 6*t[30] + 
       2*t[31] - 4*t[34] + 12*t[35] + 19*t[36] - 11*t[38] + (11*t[39])/2 + 
       3*t[40] + 2*t[41] - 2*t[42] - 3*t[43] + 7*t[44] + (37*t[48])/8 + 
       (557*t[49])/8 - (131*t[50])/8 - 28*t[51] + (99*t[52])/8 - 
       (141*t[53])/8 + (431*t[54])/8 - 4*t[58] + 10*t[59] - (773*t[60])/4 + 
       (155*t[61])/2 - (443*t[62])/8 + (2191*t[63])/8 + 41*t[64] - 
       (105*t[65])/2 - (325*t[66])/12 - t[69] - 11*t[70] + 11*t[71] - 
       12*t[73] - 13*t[74] + 12*t[75] + (95*t[76])/2 - 5*t[77] - 63*t[78] - 
       24*t[79] + 39*t[80] + 10*t[81] + 15*t[82] + 14*t[83] - (157*t[84])/2 - 
       (161*t[85])/4 + 12*t[86] - (201*t[87])/4 - (681*t[88])/8 - 
       (733*t[89])/8 + 26*t[95] + 35*t[96] + 8*t[97] + 312*t[98] - 
       324*t[99] - 75*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 
       1 - w]*(21*t[1] - (7*t[2])/2 - t[3]/4 - (113*t[4])/2 + (75*t[5])/8 - 
       56*t[6] + 29*t[7] - (93*t[8])/2 + (123*t[9])/8 + (83*t[10])/8 + 
       (41*t[11])/2 - 19*t[12] - (1661*t[13])/72 - (13*t[14])/24 + 
       (101*t[15])/48 - 12*t[25] - 8*t[26] + 7*t[27] + 6*t[28] + 6*t[30] - 
       2*t[31] - 4*t[34] - 12*t[35] + 13*t[36] + 21*t[37] + 20*t[38] - 
       (3*t[39])/2 + t[40] + 2*t[41] - 2*t[42] + 3*t[43] - 7*t[44] - 
       2*t[45] + 4*t[46] + 4*t[47] - (21*t[48])/2 + (263*t[49])/8 - 6*t[50] + 
       (49*t[51])/8 + 2*t[52] + (137*t[53])/8 + 50*t[54] - 4*t[58] - 
       5*t[59] - (253*t[60])/2 - (107*t[61])/4 - (173*t[62])/4 + 
       (553*t[63])/4 + (1131*t[64])/8 - (2195*t[65])/12 - (1045*t[66])/6 - 
       12*t[70] + 12*t[71] + 14*t[72] - 12*t[73] - 7*t[74] + 12*t[75] + 
       (101*t[76])/2 - 4*t[77] - 73*t[78] + 41*t[80] + 14*t[81] + 7*t[82] + 
       14*t[83] - (345*t[84])/4 - 37*t[85] - 80*t[87] - 100*t[88] - 
       (233*t[89])/2 + 26*t[95] + 37*t[96] + 8*t[97] + 312*t[98] - 
       324*t[99] - 75*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*((97*t[1])/3 + (91*t[3])/2 + 
       (1643*t[4])/4 + (117*t[5])/4 - (355*t[6])/4 + (81*t[7])/2 + 
       (63*t[8])/2 - (307*t[9])/4 - (539*t[10])/8 + (499*t[11])/4 - 
       (7547*t[12])/24 + (1955*t[13])/18 + (5995*t[14])/48 - (573*t[15])/4 + 
       6*t[16] + 18*t[25] - 44*t[26] - 6*t[27] - 48*t[28] - 48*t[31] + 
       36*t[35] + 60*t[36] - 10*t[37] + (77*t[38])/3 - 48*t[39] + 48*t[40] - 
       36*t[45] - 26*t[46] + 72*t[47] - (99*t[48])/4 + (655*t[49])/8 + 
       (129*t[50])/4 - (2299*t[51])/16 - (129*t[52])/4 - (2247*t[53])/8 - 
       (295*t[54])/2 - (152*t[59])/3 + (1149*t[60])/4 - (93*t[61])/4 - 
       (4643*t[62])/8 + (627*t[63])/8 - (1249*t[64])/8 - (10279*t[65])/36 - 
       (17081*t[66])/36 + 12*t[69] - 24*t[73] - 204*t[75] + 18*t[76] - 
       48*t[77] - 60*t[78] + 78*t[79] + 72*t[80] - 24*t[81] + 36*t[82] + 
       330*t[83] + (203*t[84])/4 + (383*t[85])/4 + 510*t[86] - 
       (371*t[87])/4 - (451*t[88])/8 - (665*t[89])/8 - 72*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      (-12*t[1] - 59*t[3] + (775*t[4])/4 - (111*t[5])/2 + 84*t[6] - 63*t[7] - 
       15*t[8] + (227*t[9])/2 + (231*t[10])/8 - (25*t[11])/2 - 
       (681*t[12])/8 + (1385*t[13])/12 - (2033*t[14])/48 + (2593*t[15])/24 + 
       12*t[26] + 48*t[28] - 12*t[29] + 48*t[31] - 36*t[35] - 12*t[36] - 
       12*t[38] + 48*t[39] - 48*t[40] + 36*t[45] + 60*t[46] - 72*t[47] + 
       18*t[48] + (125*t[49])/8 - 54*t[50] - (171*t[51])/16 + 54*t[52] - 
       (53*t[53])/8 - (89*t[54])/4 + 6*t[59] + (1529*t[60])/4 + 
       (621*t[61])/4 + (4183*t[62])/8 - (2719*t[63])/8 - (4375*t[64])/8 + 
       (331*t[65])/4 + (155*t[66])/12 + 6*t[69] + 6*t[72] - 24*t[73] + 
       36*t[74] - 84*t[75] + 18*t[76] + 48*t[77] + 60*t[78] - 72*t[80] + 
       72*t[81] - 60*t[82] - 9*t[83] + (569*t[84])/4 + (497*t[85])/4 - 
       540*t[86] - (1649*t[87])/4 - (1729*t[88])/8 + (3039*t[89])/8 - 
       72*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*(t[1]/6 - (28*t[2])/3 - (13*t[3])/3 + 
       (575*t[4])/12 + (29*t[5])/4 - (145*t[6])/6 - 8*t[7] - 25*t[8] - 
       (9*t[9])/4 + (169*t[10])/24 + (190*t[11])/3 - (149*t[12])/24 + 
       (1687*t[13])/36 + (1859*t[14])/144 - (17*t[15])/12 + (8*t[25])/3 - 
       (19*t[26])/3 - (2*t[27])/3 + 2*t[28] - 2*t[29] - 2*t[30] - 
       (4*t[31])/3 - 2*t[32] + 2*t[33] + t[34]/3 - 4*t[36] + (4*t[37])/3 + 
       (8*t[38])/3 + (2*t[39])/3 + (11*t[40])/3 - t[41]/6 + t[42]/6 - t[43] - 
       (2*t[45])/3 + (8*t[46])/3 - (2*t[47])/3 - (15*t[48])/2 - 
       (11*t[49])/8 - (33*t[50])/2 + (73*t[51])/48 + (7*t[52])/2 - 
       (45*t[53])/8 - (85*t[54])/4 - (5*t[58])/3 + (2*t[59])/3 + 
       (1177*t[60])/12 + (575*t[61])/12 - (1625*t[62])/24 - (2159*t[63])/24 - 
       (605*t[64])/24 - (1183*t[65])/36 - (4253*t[66])/36 + (8*t[70])/3 - 
       (8*t[71])/3 + (14*t[72])/3 + 4*t[74] + 4*t[75] + (53*t[76])/3 + 
       (16*t[77])/3 - (37*t[78])/3 - 8*t[79] + (44*t[80])/3 + 14*t[81] - 
       (40*t[82])/3 + (20*t[83])/3 + (167*t[84])/12 + (119*t[85])/12 + 
       4*t[86] - (563*t[87])/12 - (89*t[88])/8 + (167*t[89])/24 - 4*t[95] + 
       (4*t[96])/3 + 6*t[97] + 88*t[98] - 96*t[99] - 72*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((3*t[1])/2 - (9*t[2])/2 - 11*t[3] + (185*t[4])/8 - (89*t[5])/8 + 
       (213*t[6])/8 + t[7] + 22*t[8] + (105*t[9])/8 - (53*t[10])/16 + 
       (259*t[11])/8 - (71*t[12])/16 + (187*t[13])/8 + (1573*t[14])/96 + 
       (299*t[15])/72 + 4*t[19] - 4*t[20] - 4*t[21] + 2*t[22] + 4*t[23] + 
       2*t[25] - 3*t[26] - 2*t[27] - 2*t[28] - 2*t[30] - 2*t[31] + 4*t[35] - 
       3*t[36] - 7*t[37] + t[38] + t[39] - t[40] - t[41] + t[42] - t[43] + 
       4*t[44] + 3*t[45] - 2*t[46] - 6*t[47] + (65*t[48])/8 - (59*t[49])/16 + 
       (25*t[50])/8 + (19*t[51])/32 + (7*t[52])/8 - (101*t[53])/16 - 
       (17*t[54])/2 + t[59] + (515*t[60])/8 + (405*t[61])/8 - (53*t[62])/16 - 
       (579*t[63])/16 - (683*t[64])/16 + (193*t[65])/8 - (511*t[66])/24 + 
       2*t[70] - 2*t[71] + 4*t[73] + t[74] - 4*t[75] - 8*t[76] - t[77] + 
       19*t[78] - 24*t[80] + (15*t[81])/2 - (19*t[82])/2 - 4*t[83] + 
       (251*t[84])/8 + (33*t[85])/8 - 10*t[86] + (87*t[87])/8 + 
       (263*t[88])/16 + (305*t[89])/16 - 6*t[95] - 8*t[96] - 2*t[97] - 
       72*t[98] + 84*t[99] - 72*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((7*t[1])/2 + (7*t[2])/2 - 5*t[3] + 
       (185*t[4])/8 - (95*t[5])/8 + (171*t[6])/8 - 3*t[7] + 10*t[8] + 
       (71*t[9])/8 - (339*t[10])/16 + (179*t[11])/8 + (123*t[12])/16 + 
       (1913*t[13])/72 - (335*t[14])/96 - (65*t[15])/72 + 4*t[19] + 4*t[20] + 
       4*t[21] - 2*t[22] - 4*t[23] + 2*t[25] - 5*t[26] + 2*t[28] + 2*t[30] + 
       2*t[31] - 4*t[35] - 5*t[36] - t[37] + 3*t[38] + t[39] - t[40] + 
       3*t[41] - 3*t[42] + t[43] - 4*t[44] - t[45] - 2*t[46] + 2*t[47] + 
       (15*t[48])/8 - (137*t[49])/16 + (23*t[50])/8 + (155*t[51])/32 + 
       (9*t[52])/8 - (23*t[53])/16 - (33*t[54])/4 + (501*t[60])/8 + 
       (273*t[61])/8 + (247*t[62])/16 - (727*t[63])/16 - (175*t[64])/16 + 
       (359*t[65])/24 - (167*t[66])/24 + 2*t[70] - 2*t[71] + 2*t[72] + 
       4*t[73] + 3*t[74] - 4*t[75] - 10*t[76] + t[77] + 17*t[78] + 8*t[79] + 
       (13*t[81])/2 - (5*t[82])/2 - 4*t[83] + (203*t[84])/8 + (37*t[85])/8 - 
       2*t[86] + (51*t[87])/8 + (195*t[88])/16 + (339*t[89])/16 - 6*t[95] - 
       8*t[96] - 2*t[97] - 72*t[98] + 84*t[99] - 72*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*Omega2[w, u, v]*(-6*t[3] - 4*t[4] - 21*t[5] - 
       (7*t[6])/4 + (9*t[7])/2 - (3*t[8])/2 + 17*t[9] - 13*t[10] + 
       (19*t[11])/4 - (3*t[12])/2 - (11*t[13])/6 + (179*t[14])/24 + 
       t[15]/12 + 2*t[25] - 2*t[26] - 2*t[27] + 2*t[29] + 2*t[36] - t[46] + 
       (3*t[48])/4 - t[49]/2 - (5*t[50])/4 + t[51]/8 + (5*t[52])/4 + 
       2*t[53] + (11*t[54])/4 - (15*t[60])/2 + 37*t[61] - (49*t[62])/4 + 
       (53*t[63])/4 - (159*t[64])/4 + (13*t[65])/3 - 30*t[66] - t[69] + 
       t[72] - 2*t[75] - 3*t[76] - 4*t[79] + 2*t[80] + t[81] - 7*t[82] + 
       (7*t[83])/2 - (7*t[84])/2 - 5*t[85] + 14*t[86] - t[87]/2 - t[88]/4 - 
       (23*t[89])/4 + 16*t[99] - 71*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      Omega2[v, w, u]*(-2*t[1] - (5*t[3])/4 - (37*t[4])/2 + (57*t[5])/8 + 
       (57*t[6])/8 + (29*t[7])/4 + (103*t[8])/4 + (37*t[9])/8 - 
       (121*t[10])/4 + (47*t[11])/8 + (167*t[12])/8 + (39*t[13])/8 - 
       (7*t[14])/2 + (301*t[15])/48 - t[25] + 2*t[26] - t[27] + 2*t[36] - 
       t[38] + 3*t[46] + (57*t[48])/8 - 12*t[49] - (59*t[50])/8 + 4*t[51] + 
       (59*t[52])/8 + (27*t[53])/2 + (107*t[54])/8 + t[59] + (23*t[60])/4 + 
       (129*t[61])/4 + (165*t[62])/8 - (65*t[63])/8 - (227*t[64])/8 + 
       (161*t[65])/12 - (3*t[66])/4 + 2*t[69] + 2*t[72] - 2*t[75] - 3*t[76] + 
       4*t[79] + 2*t[80] - 3*t[81] + 5*t[82] - 13*t[83] + (5*t[84])/4 - 
       (23*t[85])/4 - 8*t[86] - (21*t[87])/4 - (21*t[88])/8 - (15*t[89])/8 + 
       16*t[99] - 71*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*(-t[1]/12 + (91*t[2])/48 - 
       3*t[3] + (2783*t[4])/576 - (391*t[5])/72 - (79*t[6])/8 - 
       (977*t[7])/144 - (1823*t[8])/144 + (319*t[9])/18 + 
       (27773*t[10])/1152 - (2783*t[11])/144 - (32035*t[12])/1152 - 
       (48275*t[13])/1728 + (320183*t[14])/6912 - (24191*t[15])/3456 - 
       t[19]/2 - t[20]/2 - t[21]/2 + t[22] + t[23]/2 - (5*t[25])/3 - 
       (5*t[26])/12 + t[27]/3 + (19*t[28])/12 - t[29] + (7*t[30])/12 + 
       (21*t[31])/4 - t[32] + t[33] + (11*t[34])/12 - t[35]/6 + (3*t[36])/2 + 
       (41*t[37])/12 + (4*t[38])/3 + 3*t[39] - t[40]/6 - (11*t[41])/24 + 
       (11*t[42])/24 + (7*t[43])/24 + (7*t[44])/12 + (11*t[45])/4 + 
       (19*t[46])/12 - (13*t[47])/2 - t[48]/4 + (18731*t[49])/1152 - 
       (21*t[50])/4 - (14533*t[51])/768 + (25*t[52])/6 - (10475*t[53])/1152 - 
       (43*t[54])/192 - (4*t[58])/3 - (7*t[59])/4 - (3493*t[60])/576 + 
       (2301*t[61])/64 + (14683*t[62])/1152 + (115285*t[63])/1152 - 
       (137951*t[64])/1152 - (25283*t[65])/1728 - (29885*t[66])/1728 - 
       (9*t[69])/2 - (7*t[70])/6 + (7*t[71])/6 - 3*t[72] - (11*t[73])/12 + 
       (5*t[74])/6 + (25*t[75])/12 + (25*t[76])/2 + (5*t[77])/6 - 
       (95*t[78])/6 - (15*t[79])/4 + (5*t[80])/3 + (15*t[81])/2 + 
       (7*t[82])/4 - (289*t[83])/36 + (1019*t[84])/192 + (4259*t[85])/192 - 
       (1073*t[86])/36 - (25613*t[87])/576 - (41261*t[88])/1152 - 
       (6229*t[89])/384 + (19*t[95])/6 + (29*t[96])/6 - (5*t[97])/6 + 
       89*t[98] - 70*t[99] - (415*t[100])/6) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((197*t[1])/36 - 
       (383*t[2])/72 + (175*t[3])/18 + (3763*t[4])/288 + (1181*t[5])/48 - 
       (2393*t[6])/36 + (41*t[7])/2 - (473*t[8])/4 - (83*t[9])/48 - 
       (9925*t[10])/576 + (8137*t[11])/144 - (9373*t[12])/576 + 
       (9223*t[13])/864 - (78137*t[14])/3456 + (2161*t[15])/1728 + 
       (5*t[16])/6 + (20*t[25])/9 - (97*t[26])/9 + (58*t[27])/9 + 
       (37*t[28])/6 + t[29]/3 + 4*t[30] - (10*t[31])/9 + (8*t[32])/3 - 
       (8*t[33])/3 - (19*t[34])/18 - (31*t[35])/3 + (28*t[36])/3 + 
       (157*t[37])/9 + (181*t[38])/18 - (4*t[39])/9 + (61*t[40])/18 + 
       (19*t[41])/36 - (19*t[42])/36 + (83*t[43])/6 - (47*t[44])/6 - 
       (79*t[45])/18 - (16*t[46])/9 + (103*t[47])/9 - (100*t[48])/3 - 
       (1709*t[49])/192 + (73*t[50])/6 + (15269*t[51])/1152 - (76*t[52])/3 + 
       (2197*t[53])/192 - (757*t[54])/32 - (49*t[58])/18 - (7*t[59])/9 + 
       (4685*t[60])/288 - (3371*t[61])/288 - (40921*t[62])/576 + 
       (25937*t[63])/576 + (16277*t[64])/576 - (88079*t[65])/864 - 
       (89221*t[66])/864 - (11*t[68])/3 + 2*t[69] + (14*t[70])/9 - 
       (14*t[71])/9 + (68*t[72])/9 - 16*t[73] + t[74]/2 + 12*t[75] + 
       (302*t[76])/9 - (17*t[77])/9 - (535*t[78])/9 - 5*t[79] + 
       (566*t[80])/9 + (19*t[81])/4 + (353*t[82])/36 + (469*t[83])/18 - 
       (6383*t[84])/288 - (4043*t[85])/288 + (79*t[86])/3 - 
       (22849*t[87])/288 - (6251*t[88])/192 - (26357*t[89])/576 + 
       (20*t[95])/3 + (94*t[96])/9 + (49*t[97])/6 + (424*t[98])/3 - 
       160*t[99] - 69*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((25*t[1])/2 + (7*t[2])/2 + 3*t[3] - 
       (99*t[4])/2 + 54*t[5] - (45*t[6])/2 - (169*t[7])/4 - (335*t[8])/4 - 
       (241*t[9])/4 + 78*t[10] - (91*t[11])/2 - (217*t[12])/4 - 
       (811*t[13])/18 - 29*t[14] + (131*t[15])/8 + t[16] - 16*t[25] + 
       2*t[27] + 10*t[28] + 3*t[29] + 10*t[31] + t[34] - 20*t[35] + 
       18*t[36] + 4*t[37] + 13*t[38] + 14*t[39] - 10*t[40] - t[41]/2 + 
       t[42]/2 + (13*t[43])/4 - (13*t[44])/2 + (57*t[45])/2 - t[46] - 
       57*t[47] - 10*t[48] - (61*t[49])/4 + 39*t[50] + (39*t[51])/4 - 
       36*t[52] + (105*t[53])/4 - 27*t[54] - (15*t[59])/2 - 49*t[60] - 
       (271*t[61])/2 + 83*t[62] + (265*t[63])/2 - (547*t[64])/4 - 
       (29*t[65])/2 + (229*t[66])/2 + t[67] + 6*t[69] - 8*t[70] + 8*t[71] - 
       4*t[72] - 16*t[74] + 16*t[76] + 8*t[77] - 9*t[78] + 14*t[79] - 
       38*t[80] - 3*t[81] + 17*t[82] + 41*t[83] - (39*t[84])/2 - 
       (21*t[85])/2 - 102*t[86] + 48*t[87] + 4*t[88] - 43*t[89] + 4*t[95] + 
       4*t[96] - 3*t[97] + 48*t[98] - 24*t[99] - 69*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((5*t[1])/2 + (5*t[2])/2 - 17*t[3] + (57*t[4])/2 - (273*t[5])/4 + 
       (47*t[6])/2 + (173*t[7])/4 + (427*t[8])/4 + (213*t[9])/2 - 
       (273*t[10])/4 + (89*t[11])/2 + (63*t[12])/4 + (269*t[13])/18 + 
       (857*t[14])/12 - (299*t[15])/12 - 2*t[16] - 2*t[19] + 4*t[25] - 
       4*t[26] + 4*t[27] - 10*t[28] - 7*t[29] - 10*t[31] - t[34] + 20*t[35] - 
       4*t[36] + 2*t[37] + t[38] - 5*t[39] + 8*t[40] + t[41]/2 - t[42]/2 - 
       (13*t[43])/4 + (13*t[44])/2 - (49*t[45])/2 + (5*t[46])/2 + 49*t[47] + 
       (35*t[48])/2 + 22*t[49] - (79*t[50])/2 - (29*t[51])/2 + (89*t[52])/2 - 
       13*t[53] + (81*t[54])/2 - t[59]/2 + (11*t[60])/2 + (343*t[61])/2 - 
       (23*t[62])/2 - (63*t[63])/2 + (153*t[64])/2 - 24*t[65] - 238*t[66] - 
       4*t[70] + 4*t[71] - 2*t[72] + 2*t[74] + 17*t[76] - 10*t[77] - 
       15*t[78] - 14*t[79] + 40*t[80] + 37*t[81] - 13*t[82] - 20*t[83] + 
       (7*t[84])/2 + 28*t[85] + 42*t[86] - (41*t[87])/2 - (121*t[88])/4 + 
       10*t[89] + 4*t[95] + 10*t[96] - t[97] + 48*t[98] - 24*t[99] - 
       69*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-9*t[1])/2 + (77*t[2])/12 + (137*t[3])/12 + 
       (17*t[4])/6 + (329*t[5])/24 - (253*t[6])/24 - (385*t[7])/12 - 
       (91*t[8])/3 - (1019*t[9])/24 + (191*t[10])/6 - (19*t[11])/8 - 
       (189*t[12])/8 - (344*t[13])/9 + (83*t[14])/72 + (1721*t[15])/144 + 
       t[16]/3 - (10*t[17])/3 + t[18]/3 + t[19] - 3*t[20] - (17*t[21])/3 + 
       t[22] + (14*t[23])/3 + 2*t[24] + t[25] - t[26]/2 - (11*t[27])/3 - 
       t[29] + t[30] - (16*t[31])/3 + 2*t[32] - (4*t[33])/3 - (43*t[34])/3 + 
       (8*t[36])/3 + (8*t[37])/3 - 3*t[38] + (4*t[39])/3 - (5*t[40])/3 - 
       (19*t[41])/6 + (7*t[42])/3 + (21*t[43])/4 + 2*t[44] + t[45]/2 - 
       3*t[46] - (28*t[47])/3 + (47*t[48])/8 + (27*t[49])/2 + (39*t[50])/8 - 
       (101*t[51])/24 + (81*t[52])/8 - (13*t[53])/2 + (81*t[54])/8 - 
       (5*t[58])/6 + (20*t[59])/3 - (129*t[60])/2 + (89*t[61])/6 + 
       (179*t[62])/12 + (1567*t[63])/12 - (95*t[64])/12 - (379*t[65])/3 + 
       (371*t[66])/18 + (2*t[68])/3 - 3*t[69] + (11*t[70])/3 - (11*t[71])/3 + 
       (10*t[74])/3 - 9*t[76] - 2*t[77] + (20*t[78])/3 - 34*t[80] - 
       (11*t[81])/3 + 3*t[82] - (14*t[83])/3 - (37*t[84])/2 - (94*t[85])/3 - 
       (172*t[86])/3 + (107*t[87])/6 - (41*t[88])/12 - (977*t[89])/12 - 
       2*t[90] - (5*t[92])/3 + t[94] + 4*t[95] + (14*t[96])/3 - 48*t[98] + 
       48*t[99] - 69*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-11*t[1])/12 + (161*t[2])/12 - (17*t[3])/4 + (75*t[4])/4 - 
       (907*t[5])/24 + (421*t[6])/6 - (29*t[7])/12 + (163*t[8])/4 + 
       (805*t[9])/24 - (761*t[10])/24 + (167*t[11])/12 + (221*t[12])/24 + 
       (1259*t[13])/216 - (1645*t[14])/96 - (1045*t[15])/144 + (4*t[25])/3 + 
       t[26]/3 - 4*t[27] + (23*t[34])/6 - (44*t[36])/3 - (17*t[37])/3 - 
       (5*t[38])/3 + (29*t[39])/6 - (16*t[40])/3 - (23*t[41])/12 + 
       (23*t[42])/12 + (13*t[45])/3 + (10*t[46])/3 - (26*t[47])/3 + 
       (85*t[48])/4 - (161*t[49])/4 + (295*t[50])/12 + (179*t[51])/32 - 
       (85*t[52])/12 + (95*t[53])/12 - (97*t[54])/3 + (23*t[58])/6 - 
       (17*t[59])/3 + (272*t[60])/3 - (103*t[61])/24 + (3077*t[62])/48 - 
       (6221*t[63])/48 - (1289*t[64])/48 + (299*t[65])/3 + (1133*t[66])/18 + 
       t[69] + (14*t[70])/3 - (14*t[71])/3 - (11*t[72])/3 + 11*t[73] + 
       (20*t[74])/3 - 14*t[75] - (95*t[76])/2 + t[77] + (191*t[78])/3 + 
       (19*t[79])/2 - (140*t[80])/3 - 4*t[81] - (38*t[82])/3 + (21*t[83])/2 + 
       (1007*t[84])/12 + (257*t[85])/6 + (61*t[86])/6 + (841*t[87])/12 + 
       (1435*t[88])/24 + (557*t[89])/8 - (64*t[95])/3 - (83*t[96])/3 - 
       (29*t[97])/2 - 296*t[98] + 332*t[99] - 66*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-5*t[1] - (49*t[2])/4 + (67*t[3])/24 - (687*t[4])/16 + 14*t[5] - 
       (551*t[6])/12 - (1243*t[7])/24 - (2149*t[8])/24 - (67*t[9])/24 + 
       (3827*t[10])/32 - (617*t[11])/6 - (1173*t[12])/32 - (2735*t[13])/54 - 
       (10861*t[14])/192 + (11393*t[15])/288 - (11*t[19])/2 - 6*t[20] - 
       6*t[21] + 3*t[22] + 6*t[23] - (11*t[25])/2 + 5*t[26] + (3*t[27])/2 + 
       15*t[28] - 3*t[29] + 2*t[30] + 12*t[31] - (8*t[32])/3 + (8*t[33])/3 + 
       t[34] - 18*t[35] - (7*t[36])/2 + (11*t[37])/2 - t[38] + (95*t[39])/6 - 
       t[40]/3 - 5*t[41] + 5*t[42] + (3*t[43])/2 + 2*t[44] + (31*t[45])/6 + 
       (277*t[46])/12 - (77*t[47])/6 - (121*t[48])/6 + (2153*t[49])/32 - 
       (215*t[50])/12 - (9077*t[51])/192 + (71*t[52])/12 - (1161*t[53])/32 + 
       (171*t[54])/16 - 2*t[58] - (11*t[59])/2 - (6757*t[60])/48 - 
       (4703*t[61])/48 + (26705*t[62])/96 + (4173*t[63])/32 - 
       (2793*t[64])/32 + (32069*t[65])/144 + (37351*t[66])/144 - 
       (21*t[69])/2 + 2*t[70] - 2*t[71] + 45*t[73] - (35*t[74])/2 + 
       60*t[75] + (313*t[76])/6 + (59*t[77])/6 - (125*t[78])/3 - 
       (21*t[79])/2 - (2*t[80])/3 + (239*t[81])/12 - (55*t[82])/12 - 
       (393*t[83])/4 - (1943*t[84])/48 + (453*t[85])/16 - (251*t[86])/2 - 
       (1381*t[87])/48 - (3901*t[88])/96 + (7489*t[89])/96 + 29*t[95] + 
       9*t[96] + 4*t[97] + 348*t[98] - 318*t[99] - (129*t[100])/2) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*((-953*t[1])/72 + 
       (1505*t[2])/144 - (121*t[3])/144 - (33017*t[4])/288 - (177*t[5])/4 + 
       (9143*t[6])/288 + (505*t[7])/16 - (109*t[8])/12 + (1985*t[9])/48 - 
       (14413*t[10])/576 - (27691*t[11])/288 + (19391*t[12])/576 - 
       (43169*t[13])/432 + (54811*t[14])/3456 + (14879*t[15])/1728 + 
       t[16]/8 - (637*t[25])/36 + (1007*t[26])/36 - (59*t[27])/9 - 
       (7*t[28])/2 + (3*t[29])/2 + (17*t[30])/3 + (77*t[31])/9 + t[32] - 
       t[33] + (11*t[34])/18 + 7*t[35] + (43*t[36])/12 - (65*t[37])/9 - 
       (317*t[38])/18 - (527*t[39])/72 - (139*t[40])/36 - (11*t[41])/36 + 
       (11*t[42])/36 + (101*t[43])/24 + (29*t[44])/4 - (97*t[45])/72 - 
       (5*t[46])/72 + (133*t[47])/36 + (33*t[48])/32 + (2795*t[49])/192 + 
       (909*t[50])/32 - (7867*t[51])/1152 - (1079*t[52])/96 + 
       (951*t[53])/64 + (3127*t[54])/48 + (4*t[58])/9 + (281*t[59])/36 - 
       (51169*t[60])/288 - (191*t[61])/288 + (45665*t[62])/576 + 
       (120299*t[63])/576 + (6761*t[64])/576 + (33115*t[65])/864 + 
       (111101*t[66])/864 + 6*t[68] - (76*t[70])/9 + (76*t[71])/9 - 
       (125*t[72])/18 + (8*t[73])/3 - (47*t[74])/6 - (2*t[75])/3 - 
       (167*t[76])/72 - (323*t[77])/36 - (47*t[78])/72 - 2*t[79] + 
       (37*t[80])/18 - 9*t[81] - (10*t[82])/9 - (106*t[83])/9 - 
       (8093*t[84])/288 - (317*t[85])/288 + (65*t[86])/12 - (403*t[87])/288 - 
       (3243*t[88])/64 - (26909*t[89])/576 - t[90]/4 + t[91]/12 - t[93] + 
       (28*t[95])/3 + (131*t[96])/18 - (19*t[97])/2 + (226*t[98])/3 - 
       80*t[99] - (125*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((-343*t[1])/36 + (3*t[2])/2 + 
       8*t[3] - (89*t[4])/36 + (2597*t[5])/144 + (313*t[6])/48 + 
       (1141*t[7])/72 - (299*t[8])/72 + (1219*t[9])/144 - (3227*t[10])/288 + 
       (1295*t[11])/72 + (10555*t[12])/288 + (5881*t[13])/432 - 
       (4297*t[14])/576 + (73*t[15])/6 - (3*t[16])/2 + (13*t[25])/2 + 
       (145*t[26])/36 - t[27] + 2*t[28] - t[29] - 2*t[31] + 2*t[32] - 
       2*t[33] - 6*t[35] + (53*t[36])/18 - t[37] - (343*t[38])/36 + 2*t[39] - 
       2*t[40] + (9*t[44])/2 + 2*t[45] + (119*t[46])/24 - 2*t[47] + 
       (265*t[48])/48 - (173*t[49])/288 - (71*t[50])/48 - (561*t[51])/64 + 
       (71*t[52])/48 - (415*t[53])/288 + (911*t[54])/144 + (379*t[59])/72 + 
       (1147*t[60])/144 + (4535*t[61])/144 + (15115*t[62])/288 - 
       (1607*t[63])/288 - (2041*t[64])/96 + (6415*t[65])/216 + 
       (1205*t[66])/72 - t[67]/2 - (19*t[69])/3 + 2*t[70] - 2*t[71] + 
       2*t[72] + (27*t[73])/2 + (32*t[74])/9 - (17*t[75])/6 - 5*t[76] - 
       3*t[78] + (33*t[79])/2 + 6*t[80] - (253*t[81])/36 + (361*t[82])/36 - 
       (623*t[83])/9 + (839*t[84])/72 - (151*t[85])/18 - (767*t[86])/18 - 
       (947*t[87])/24 - (2479*t[88])/144 + (2627*t[89])/288 - (10*t[95])/9 - 
       24*t[98] + 24*t[99] - (187*t[100])/3) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*((-97*t[1])/36 - 
       (1531*t[2])/144 + (3109*t[3])/288 + (6101*t[4])/144 + (1861*t[5])/64 - 
       (30167*t[6])/576 - (135*t[7])/32 - (4169*t[8])/96 - (3649*t[9])/192 + 
       (1909*t[10])/288 + (41047*t[11])/576 + (2171*t[12])/576 + 
       (77875*t[13])/1728 - (11203*t[14])/1728 - (1463*t[15])/3456 - 
       (5*t[16])/8 + (251*t[25])/36 - (301*t[26])/36 + (95*t[27])/18 - 
       2*t[28] - (5*t[29])/4 + (5*t[30])/12 - (25*t[31])/9 - (3*t[32])/2 + 
       (3*t[33])/2 + (25*t[34])/36 + 5*t[35] - (17*t[36])/3 + 
       (265*t[37])/36 + (247*t[38])/72 - (19*t[39])/36 + (823*t[40])/72 - 
       (25*t[41])/72 + (25*t[42])/72 - (107*t[43])/48 - (31*t[44])/8 + 
       (151*t[45])/144 + (215*t[46])/36 - (259*t[47])/72 - (1015*t[48])/64 - 
       (13*t[49])/3 - (747*t[50])/64 - (479*t[51])/576 - (1135*t[52])/192 - 
       3*t[53] - (6215*t[54])/192 - (20*t[58])/9 - (23*t[59])/18 + 
       (20963*t[60])/288 + (9361*t[61])/288 - (45211*t[62])/576 - 
       (25585*t[63])/576 + (4121*t[64])/576 - (42581*t[65])/864 - 
       (71089*t[66])/864 - (19*t[68])/8 - 2*t[69] + (38*t[70])/9 - 
       (38*t[71])/9 + (47*t[72])/9 - (13*t[73])/3 + (89*t[74])/12 + 
       (22*t[75])/3 + (1231*t[76])/72 - (5*t[77])/36 - (317*t[78])/18 - 
       (25*t[79])/2 + (265*t[80])/18 + (61*t[81])/8 + (119*t[82])/36 + 
       (277*t[83])/18 + (577*t[84])/288 + (1009*t[85])/288 + (745*t[86])/24 - 
       (13393*t[87])/288 - (521*t[88])/64 - (10247*t[89])/576 + t[90]/8 - 
       t[91]/24 + t[93]/2 - (13*t[95])/6 + (49*t[96])/36 + (31*t[97])/4 + 
       (94*t[98])/3 - 17*t[99] - 61*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*(24*t[1] - 24*t[4] + (65*t[5])/2 + 
       3*t[7] + 3*t[8] - (65*t[9])/2 + 34*t[10] - 261*t[11] - (283*t[12])/2 - 
       (206*t[13])/3 + (59*t[14])/3 - (307*t[15])/12 + 2*t[16] - 32*t[26] + 
       100*t[36] + 16*t[37] + 24*t[38] - 152*t[46] + 93*t[49] + 
       (165*t[51])/2 - 93*t[53] - 2*t[59] - 20*t[60] + 46*t[61] + 5*t[62] + 
       478*t[63] - 122*t[64] + 54*t[65] + (802*t[66])/3 + 4*t[67] + 4*t[69] - 
       20*t[70] + 20*t[71] - 160*t[73] - 88*t[74] + 180*t[75] + 12*t[79] + 
       172*t[83] + 12*t[86] + 8*t[87] + 4*t[88] - 27*t[89] - 60*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*(-5*t[3] + 104*t[4] - 
       (155*t[5])/2 - 30*t[6] + 5*t[7] + 15*t[8] + (165*t[9])/2 + 36*t[10] + 
       75*t[11] + (11*t[12])/2 + (211*t[13])/6 + (111*t[14])/2 - 
       (419*t[15])/12 + 50*t[46] - 30*t[48] - 3*t[49] - 40*t[50] - 37*t[51] + 
       40*t[52] + 3*t[53] + 40*t[54] + 94*t[60] + 14*t[61] + 17*t[62] - 
       233*t[63] - 14*t[64] - 63*t[65] - 323*t[66] - 160*t[73] + 180*t[75] + 
       50*t[81] - 50*t[82] + 160*t[83] + 5*t[84] + 70*t[85] - 84*t[87] - 
       42*t[88] + 34*t[89] - 60*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*(-4*t[2] - 5*t[3] + (75*t[4])/2 - 
       (85*t[5])/2 - (21*t[6])/4 + 4*t[7] - (25*t[8])/2 + (103*t[9])/2 - 
       (201*t[10])/4 + (173*t[11])/4 - (107*t[12])/4 + (145*t[13])/9 + 
       (85*t[14])/8 - (149*t[15])/6 + 2*t[19] - 12*t[20] - 4*t[21] + 
       4*t[23] + 2*t[27] - 6*t[37] + 32*t[39] - 16*t[40] - 2*t[41] + 
       2*t[42] - t[46] - (105*t[48])/4 + (19*t[49])/4 - (97*t[50])/4 - 
       (45*t[51])/8 + (49*t[52])/4 - (19*t[53])/4 - (141*t[54])/4 - 3*t[55] + 
       (201*t[60])/2 - (191*t[61])/2 + (155*t[62])/4 - (527*t[63])/4 - 
       (157*t[64])/4 - 29*t[65] - (454*t[66])/3 - 28*t[72] + 80*t[76] + 
       16*t[77] - 120*t[78] + 32*t[80] + 17*t[81] - 51*t[82] + 6*t[84] + 
       (181*t[85])/2 - (129*t[87])/2 - (129*t[88])/4 + (133*t[89])/4 + 
       384*t[98] - 480*t[99] - 60*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*(4*t[2] + 3*t[3] + 38*t[4] + t[5]/2 - 
       (7*t[6])/2 - 9*t[7] - 35*t[8] - (31*t[9])/2 + 27*t[10] - 
       (77*t[11])/2 - (141*t[12])/2 + (847*t[13])/18 - (83*t[14])/6 - 
       (103*t[15])/12 - 4*t[16] + 12*t[20] + 4*t[21] - 4*t[23] - 4*t[26] + 
       12*t[31] - 8*t[36] + 14*t[38] + 2*t[41] - 2*t[42] + 16*t[45] - 
       32*t[47] - (35*t[48])/2 + 14*t[49] - (15*t[50])/2 - (9*t[51])/2 + 
       (39*t[52])/2 - 14*t[53] - (65*t[54])/2 - 23*t[59] + (261*t[60])/2 - 
       151*t[61] + (599*t[62])/4 - (187*t[63])/4 - (333*t[64])/2 - 43*t[65] - 
       108*t[66] + 4*t[67] + 13*t[68] - 4*t[69] + 4*t[70] - 4*t[71] - 
       24*t[72] + 8*t[74] + 16*t[76] - 40*t[78] - 32*t[80] + 11*t[81] - 
       7*t[82] + t[84] + (121*t[85])/2 - 32*t[86] - (177*t[87])/2 - 
       (177*t[88])/4 + (189*t[89])/2 + 3*t[90] + 384*t[98] - 480*t[99] - 
       60*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((-47*t[1])/12 + (11*t[2])/6 - (25*t[3])/6 - 
       (35*t[4])/12 - (53*t[5])/8 + (349*t[6])/24 - 8*t[7] + (45*t[8])/2 + 
       (31*t[9])/8 - (79*t[10])/6 + (67*t[11])/24 + (185*t[12])/24 + 
       (55*t[13])/18 + (1579*t[14])/144 - (131*t[15])/144 - (2*t[25])/3 + 
       (23*t[26])/6 - (4*t[27])/3 - 2*t[28] - (2*t[31])/3 - t[32] + t[33] + 
       (7*t[34])/6 + 4*t[35] - t[36] - (7*t[37])/3 - (11*t[38])/3 + t[39]/3 + 
       (5*t[40])/6 - (7*t[41])/12 + (7*t[42])/12 - t[43] + t[44] + 
       (2*t[45])/3 - (2*t[46])/3 - (7*t[47])/3 + (81*t[48])/8 - (9*t[49])/4 - 
       (15*t[50])/8 - t[51]/48 + (35*t[52])/8 + t[53]/4 + (49*t[54])/8 + 
       t[58]/6 + (5*t[59])/6 + (41*t[60])/3 + (223*t[61])/12 + (55*t[62])/3 + 
       (19*t[63])/3 - (457*t[64])/24 + (601*t[65])/36 - (413*t[66])/18 - 
       (2*t[70])/3 + (2*t[71])/3 - (8*t[72])/3 + 4*t[73] - t[74] - 4*t[75] - 
       t[76]/6 - (4*t[77])/3 + (13*t[78])/3 - (29*t[80])/3 + 7*t[81] - 
       (19*t[82])/6 - (8*t[83])/3 + (163*t[84])/12 + (28*t[85])/3 - 
       12*t[86] + (11*t[87])/3 - t[88] + (23*t[89])/12 - 2*t[95] - 
       (10*t[96])/3 - 3*t[97] - 16*t[98] + 36*t[99] - 60*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((16*t[1])/3 + (13*t[2])/12 - (13*t[3])/3 + (97*t[4])/12 - 
       (71*t[5])/6 + (51*t[6])/4 + (11*t[7])/12 + (49*t[8])/12 + 
       (95*t[9])/6 - t[10]/3 + (173*t[11])/12 - (17*t[12])/12 - 
       (373*t[13])/54 + (1823*t[14])/144 - (289*t[15])/72 - (13*t[26])/3 + 
       (4*t[27])/3 + 2*t[28] + 4*t[30] + (8*t[31])/3 + t[32] - t[33] - 
       t[34]/3 - 4*t[35] - 3*t[36] + (8*t[37])/3 + (29*t[38])/6 + 3*t[39] - 
       (13*t[40])/6 + t[41]/6 - t[42]/6 + t[43] - 3*t[44] + (5*t[45])/3 - 
       (7*t[47])/3 + 3*t[48] - t[49]/6 + (10*t[50])/3 - (53*t[51])/48 + 
       (2*t[52])/3 + (11*t[53])/6 - (29*t[54])/4 + (2*t[58])/3 - 
       (35*t[59])/12 + (89*t[60])/12 + (79*t[61])/3 + (289*t[62])/24 + 
       (227*t[63])/24 - 24*t[64] - 12*t[65] - (799*t[66])/36 - (2*t[70])/3 + 
       (2*t[71])/3 - 2*t[72] + 4*t[73] + t[74] - 4*t[75] - (5*t[76])/6 + 
       (4*t[77])/3 - (7*t[78])/6 + 8*t[79] - 14*t[80] + (29*t[81])/6 - 
       (17*t[82])/6 - (5*t[83])/3 + 5*t[84] + (29*t[85])/12 - 18*t[86] + 
       (41*t[87])/12 - (9*t[88])/8 - (15*t[89])/8 - 2*t[95] - t[96]/3 - 
       (3*t[97])/2 - 16*t[98] + 36*t[99] - 60*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((61*t[1])/12 + (43*t[2])/12 - (10*t[3])/3 + (1945*t[4])/48 - 
       (805*t[5])/48 + (461*t[6])/16 - (23*t[7])/6 + (4*t[8])/3 + 
       (457*t[9])/48 - (2351*t[10])/96 + (1691*t[11])/48 + (779*t[12])/96 + 
       (17353*t[13])/432 - (7759*t[14])/576 - (251*t[15])/72 + 4*t[19] + 
       4*t[20] + 4*t[21] - 2*t[22] - 4*t[23] + 3*t[25] - (47*t[26])/6 + 
       (4*t[27])/3 + 3*t[28] + 3*t[30] + (5*t[31])/3 + (2*t[34])/3 - 
       6*t[35] - (17*t[36])/2 - (5*t[37])/6 + (29*t[38])/6 - (7*t[40])/6 + 
       (8*t[41])/3 - (8*t[42])/3 + (3*t[43])/2 - 5*t[44] - (5*t[45])/6 - 
       2*t[46] + (5*t[47])/3 + (5*t[48])/16 - (1957*t[49])/96 + 
       (247*t[50])/48 + (1771*t[51])/192 - (55*t[52])/48 + (53*t[53])/96 - 
       (163*t[54])/8 + (2*t[58])/3 - (5*t[59])/3 + (4973*t[60])/48 + 
       (1069*t[61])/48 + (2263*t[62])/96 - (9367*t[63])/96 - (793*t[64])/32 + 
       (395*t[65])/16 - (319*t[66])/144 + (13*t[70])/3 - (13*t[71])/3 + 
       2*t[72] + 6*t[73] + (11*t[74])/2 - 6*t[75] - (107*t[76])/6 + 
       (11*t[77])/6 + (167*t[78])/6 + 12*t[79] - 7*t[80] + (61*t[81])/12 - 
       (61*t[82])/12 - (20*t[83])/3 + (645*t[84])/16 + (629*t[85])/48 - 
       5*t[86] + (587*t[87])/48 + (857*t[88])/32 + (1249*t[89])/32 - 
       11*t[95] - (43*t[96])/3 - 3*t[97] - 124*t[98] + 138*t[99] - 
       60*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-23*t[1])/12 - (53*t[2])/12 - (32*t[3])/3 + 
       (1801*t[4])/48 - (181*t[5])/16 + (1697*t[6])/48 - (9*t[7])/2 + 
       30*t[8] + (145*t[9])/16 - (481*t[10])/96 + (1595*t[11])/48 - 
       (199*t[12])/96 + (4385*t[13])/144 + (9661*t[14])/576 + (77*t[15])/24 + 
       4*t[19] - 4*t[20] - 4*t[21] + 2*t[22] + 4*t[23] + (13*t[25])/3 - 
       (13*t[26])/6 - (10*t[27])/3 - 3*t[28] - 3*t[30] - (5*t[31])/3 + 
       (2*t[34])/3 + 6*t[35] - (11*t[36])/2 - (65*t[37])/6 - (13*t[38])/6 + 
       (4*t[39])/3 - (7*t[40])/6 - (4*t[41])/3 + (4*t[42])/3 - (3*t[43])/2 + 
       5*t[44] + (19*t[45])/6 - (8*t[46])/3 - (19*t[47])/3 + (155*t[48])/16 - 
       (301*t[49])/32 + (51*t[50])/16 - (133*t[51])/192 + (13*t[52])/16 - 
       (323*t[53])/32 - (79*t[54])/4 + (2*t[58])/3 + (11*t[59])/6 + 
       (4475*t[60])/48 + (2737*t[61])/48 - (13*t[62])/96 - (6475*t[63])/96 - 
       (6655*t[64])/96 + (7663*t[65])/144 + (569*t[66])/144 + (13*t[70])/3 - 
       (13*t[71])/3 - (8*t[72])/3 + 6*t[73] + (5*t[74])/2 - 6*t[75] - 
       (97*t[76])/6 + t[77]/6 + (185*t[78])/6 - (89*t[80])/3 + (21*t[81])/4 - 
       (131*t[82])/12 - (20*t[83])/3 + (2287*t[84])/48 + (529*t[85])/48 - 
       9*t[86] + (1103*t[87])/48 + (1093*t[88])/32 + (3889*t[89])/96 - 
       11*t[95] - (43*t[96])/3 - 3*t[97] - 124*t[98] + 138*t[99] - 
       60*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((103*t[1])/72 - (247*t[2])/144 - (287*t[3])/72 - 
       (1495*t[4])/576 + (49*t[5])/96 - (73*t[6])/288 + (595*t[7])/48 + 
       (1189*t[8])/48 + (1159*t[9])/96 - (9335*t[10])/1152 + (695*t[11])/72 + 
       (16081*t[12])/1152 - (17675*t[13])/1728 + (112121*t[14])/6912 - 
       (5243*t[15])/1152 - t[19]/2 + t[20]/2 + t[21]/2 + t[22]/2 - t[23]/2 - 
       (46*t[25])/9 + (53*t[26])/9 + (10*t[27])/9 - (31*t[28])/12 + t[29] + 
       (5*t[30])/12 - (73*t[31])/36 + t[32] - t[33] - (71*t[34])/36 + 
       (13*t[35])/6 + (49*t[36])/12 + (139*t[37])/36 - t[38]/36 + 
       (41*t[39])/36 - (67*t[40])/36 + (53*t[41])/72 - (53*t[42])/72 + 
       (5*t[43])/24 - (17*t[44])/12 - (31*t[45])/18 - (449*t[46])/72 + 
       (40*t[47])/9 + (817*t[48])/96 + (5393*t[49])/384 - (511*t[50])/96 + 
       (3859*t[51])/2304 + (253*t[52])/32 + (31*t[53])/384 + 
       (2273*t[54])/192 + (5*t[58])/18 + (83*t[59])/36 - (9293*t[60])/576 + 
       (8267*t[61])/576 - (8435*t[62])/1152 + (16411*t[63])/1152 - 
       (54185*t[64])/1152 - (86137*t[65])/1728 - (94235*t[66])/1728 + 
       (5*t[69])/3 - (83*t[70])/18 + (83*t[71])/18 - (28*t[72])/9 + 
       (5*t[73])/12 - (15*t[74])/4 - (37*t[75])/12 + (503*t[76])/36 - 
       t[77]/18 - (485*t[78])/18 + (35*t[79])/12 + (145*t[80])/18 - 
       (25*t[81])/24 + (367*t[82])/72 - (91*t[83])/36 - (10081*t[84])/576 - 
       (3541*t[85])/576 + (23*t[86])/12 - (14087*t[87])/576 - 
       (9901*t[88])/384 - (35563*t[89])/1152 + 3*t[95] + (191*t[96])/18 + 
       (5*t[97])/3 + (241*t[98])/3 - 61*t[99] - (115*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]^2*((-3*t[3])/4 - (19*t[4])/2 + 
       (39*t[5])/8 - t[6]/2 + (3*t[7])/2 + (19*t[8])/2 - (59*t[9])/8 + 
       (41*t[10])/4 + (47*t[11])/4 + (21*t[12])/8 - (205*t[13])/24 + 
       (587*t[14])/24 + (53*t[15])/48 + 4*t[36] + (13*t[43])/4 + 
       (13*t[45])/2 + (7*t[46])/2 - 13*t[47] - (29*t[49])/4 - (7*t[50])/2 - 
       (17*t[51])/4 + (7*t[52])/2 + (29*t[53])/4 + (7*t[54])/2 - t[60]/2 + 
       (75*t[61])/2 - (147*t[62])/4 - (5*t[63])/4 - 4*t[64] - (29*t[65])/4 - 
       (193*t[66])/4 + 2*t[73] + 3*t[75] + 4*t[79] + (7*t[81])/2 - 
       (7*t[82])/2 - 16*t[83] + (7*t[84])/4 + (7*t[85])/2 + 12*t[86] + 
       4*t[87] + 2*t[88] - 15*t[89] - 57*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]^2*(-6*t[1] - (5*t[3])/2 - 6*t[4] - 
       (21*t[5])/8 - 4*t[6] + (59*t[7])/4 - (73*t[8])/4 + (97*t[9])/8 - 
       13*t[10] + (57*t[11])/4 + (207*t[12])/8 + (41*t[13])/6 + (7*t[14])/3 + 
       (91*t[15])/48 - t[16]/2 + 6*t[25] - 3*t[29] + 7*t[36] + 8*t[37] - 
       4*t[38] + (13*t[44])/2 + t[46] - 4*t[48] - (21*t[49])/4 + 3*t[50] - 
       (7*t[51])/8 - 3*t[52] + (21*t[53])/4 - 4*t[54] + (13*t[59])/2 + 
       8*t[60] + 20*t[61] - (17*t[62])/2 - (29*t[63])/4 + (17*t[64])/4 + 
       (17*t[65])/2 - (175*t[66])/6 + t[67] - t[69] - 7*t[70] + 7*t[71] + 
       2*t[73] + 3*t[75] + 7*t[79] + 2*t[81] - 2*t[82] - 17*t[83] + 3*t[84] - 
       t[86] - 2*t[87] - t[88] + (3*t[89])/4 - 57*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-55*t[1])/2 - t[2]/2 + (335*t[3])/8 - (463*t[4])/4 + (565*t[5])/16 - 
       (1329*t[6])/16 - (133*t[7])/8 - (911*t[8])/8 + (9*t[9])/16 - 
       (777*t[10])/8 - (1819*t[11])/16 + (411*t[12])/16 - (6377*t[13])/144 - 
       (163*t[14])/3 - (25*t[15])/32 + (3*t[19])/2 - 9*t[25] + (83*t[26])/4 - 
       2*t[27] - 9*t[28] - 6*t[30] - t[31] + 5*t[34] + 15*t[35] + 16*t[36] + 
       (25*t[37])/2 - (71*t[38])/4 + (9*t[39])/4 + (23*t[40])/2 - 
       (5*t[41])/2 + (5*t[42])/2 - 3*t[43] + 6*t[44] - t[45] - 10*t[46] + 
       2*t[47] - (381*t[48])/16 + (45*t[49])/4 + (11*t[50])/16 + 
       (193*t[51])/8 - (251*t[52])/16 + 14*t[53] + (1229*t[54])/16 - 
       (13*t[58])/4 + (17*t[59])/2 - (1451*t[60])/8 - (443*t[61])/4 + 
       (1675*t[62])/16 + (4981*t[63])/16 + 109*t[64] - (499*t[65])/24 + 
       (1955*t[66])/24 - 6*t[69] - 8*t[70] + (15*t[71])/2 - 6*t[72] - 
       36*t[73] - 15*t[74] + 28*t[75] + 47*t[76] - (25*t[77])/2 - 41*t[78] - 
       29*t[79] + 36*t[80] + (15*t[81])/2 + (63*t[82])/4 + 63*t[83] - 
       (637*t[84])/8 + (59*t[85])/8 + 7*t[86] - (529*t[87])/8 - 
       (1325*t[88])/16 - (963*t[89])/8 + 24*t[95] + (19*t[96])/2 + 
       330*t[98] - 318*t[99] - 57*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((-9*t[1])/4 - (45*t[2])/8 + 
       (415*t[3])/16 + (795*t[4])/16 - (73*t[5])/2 + (729*t[6])/32 - 
       (1161*t[7])/16 - (771*t[8])/8 - (93*t[9])/8 + (395*t[10])/32 - 
       (1951*t[11])/32 - (319*t[12])/32 - (1829*t[13])/144 - 
       (3835*t[14])/192 - (191*t[15])/16 - (9*t[17])/8 - t[18]/2 - 3*t[20] - 
       3*t[21] + (7*t[22])/2 + 3*t[23] - (7*t[24])/4 + t[26]/2 + t[27] + 
       4*t[28] + (3*t[29])/2 - 10*t[30] + 6*t[31] - (3*t[32])/4 + t[33] + 
       (31*t[34])/4 - t[35] - 2*t[36] - (7*t[38])/2 + 3*t[39] - 
       (13*t[40])/4 - (95*t[41])/8 + (87*t[42])/8 - (19*t[43])/4 - 
       (33*t[44])/4 + (23*t[45])/4 - (7*t[46])/4 - (113*t[47])/4 - 
       (11*t[48])/32 - (3*t[49])/32 - (707*t[50])/32 + (45*t[51])/64 + 
       (715*t[52])/32 - (29*t[53])/32 + (113*t[54])/32 + t[56]/4 + 3*t[57] - 
       t[58]/2 - (15*t[59])/2 + 61*t[60] - (221*t[61])/2 + (1199*t[62])/8 + 
       24*t[63] - (821*t[64])/4 - (847*t[65])/48 - (161*t[66])/16 + 
       (5*t[68])/4 - 2*t[69] + 4*t[70] - 4*t[71] + 4*t[72] - 4*t[73] - 
       13*t[74] + 10*t[75] + (13*t[76])/2 - (35*t[77])/4 - (31*t[78])/4 + 
       11*t[79] - 80*t[80] + (137*t[81])/8 - (65*t[82])/8 - 22*t[83] + 
       (65*t[84])/16 + (137*t[85])/4 - (231*t[86])/2 - (153*t[87])/2 - 
       (153*t[88])/4 - (15*t[89])/8 + t[92]/2 + 2*t[97] + 36*t[98] - 
       36*t[99] - 57*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((3*t[1])/4 + (57*t[2])/2 - (25*t[3])/16 + (3*t[4])/16 + 
       (593*t[5])/32 - (15*t[6])/16 - (117*t[7])/8 + (541*t[8])/16 + 
       (425*t[9])/32 + (431*t[10])/32 - (449*t[11])/16 + (207*t[12])/16 - 
       (719*t[13])/144 + (503*t[14])/64 - (15191*t[15])/576 + (5*t[17])/8 - 
       t[19]/4 + t[20] + 2*t[21] - 5*t[22] - 4*t[23] - t[24]/4 - 2*t[27] - 
       6*t[28] - (11*t[29])/2 - 2*t[30] - 3*t[31] + (41*t[32])/4 - 
       (33*t[33])/4 + (77*t[34])/4 + 4*t[35] - t[37]/4 - t[38] + t[39]/4 - 
       (5*t[40])/2 + (3*t[41])/8 - (3*t[42])/8 - (17*t[43])/8 - 10*t[44] - 
       (21*t[45])/2 - t[46] + (27*t[47])/4 + (17*t[48])/8 + (463*t[49])/32 - 
       28*t[50] - (587*t[51])/64 + (131*t[52])/4 - (335*t[53])/32 + 
       (47*t[54])/16 - t[56]/2 - 2*t[57] - (23*t[59])/2 + (317*t[60])/16 - 
       (1141*t[61])/16 - (925*t[62])/32 - (2215*t[63])/32 + (1467*t[64])/32 - 
       (83*t[65])/8 - (269*t[66])/6 - t[68]/4 - 2*t[69] + 3*t[70] - 3*t[71] - 
       (3*t[72])/2 + 4*t[73] - (15*t[74])/2 - 22*t[75] + (59*t[76])/4 - 
       (19*t[77])/4 - (159*t[78])/4 + 14*t[79] + (35*t[80])/2 + 
       (53*t[81])/8 + (101*t[82])/8 + (35*t[83])/2 - (29*t[84])/4 + 
       (63*t[85])/16 + (77*t[86])/2 + (277*t[87])/16 + (405*t[88])/32 + 
       (95*t[89])/32 - t[95] + 5*t[96] + (9*t[97])/2 + 36*t[98] - 36*t[99] - 
       57*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-11*t[1])/12 - (31*t[2])/3 - (37*t[3])/6 - 
       (623*t[4])/12 + (925*t[5])/8 - (159*t[6])/2 - (463*t[7])/24 - t[8]/8 - 
       (1427*t[9])/12 + (1151*t[10])/24 + (229*t[11])/8 - (55*t[12])/8 + 
       (14047*t[13])/432 + (1489*t[14])/48 + (691*t[15])/12 + t[17]/6 + 
       2*t[18] + (4*t[19])/3 + t[20] + t[21] + (2*t[22])/3 - 3*t[23] + 
       (5*t[24])/3 + (23*t[25])/3 - (20*t[26])/3 + (28*t[27])/3 + 4*t[28] - 
       4*t[29] + 7*t[30] + 3*t[31] - (4*t[32])/3 + t[33] + (11*t[34])/6 - 
       10*t[35] + (4*t[36])/3 + (10*t[37])/3 - (11*t[38])/6 - (13*t[39])/3 + 
       (37*t[40])/6 + (25*t[41])/12 - (13*t[42])/12 + (653*t[43])/24 - 
       15*t[44] + (145*t[45])/12 + (15*t[46])/2 - (41*t[47])/2 - 
       (487*t[48])/24 - t[49]/2 - (323*t[50])/24 - (229*t[51])/48 - 
       (209*t[52])/24 + (43*t[53])/6 + (243*t[54])/8 - (10*t[58])/3 + 
       (37*t[59])/6 - (61*t[60])/12 + (595*t[61])/12 - (170*t[62])/3 + 
       (1057*t[63])/12 - (1619*t[64])/24 - (404*t[65])/9 - (989*t[66])/9 - 
       t[68]/3 - 6*t[69] - 2*t[70] + 2*t[71] + 6*t[72] - 12*t[73] + 
       (26*t[74])/3 + 12*t[75] + (92*t[76])/3 + (4*t[77])/3 - (92*t[78])/3 + 
       4*t[79] + (239*t[80])/3 - (29*t[81])/3 + 40*t[82] + 19*t[83] - 
       (79*t[84])/2 - (247*t[85])/6 - (161*t[87])/3 - (49*t[88])/2 - 
       (239*t[89])/4 + (8*t[95])/3 + 12*t[96] + (32*t[97])/3 + 140*t[98] - 
       112*t[99] - 56*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-49*t[1])/12 - 
       (113*t[2])/6 + (127*t[3])/24 + (515*t[4])/12 - (205*t[5])/12 - 
       (193*t[6])/4 + 96*t[7] - (1177*t[8])/12 + (283*t[9])/6 + 
       (403*t[10])/12 + (457*t[11])/12 + (39*t[12])/4 + (1067*t[13])/216 + 
       (5225*t[14])/48 - (251*t[15])/144 + (7*t[16])/6 - t[17]/6 - 
       (5*t[19])/3 + t[20] - t[21] + t[22] + t[23] + t[24]/3 + (2*t[25])/3 + 
       (13*t[26])/3 - 5*t[27] - 6*t[28] - (17*t[29])/6 - (4*t[30])/3 + 
       2*t[31] - (37*t[32])/6 - (13*t[34])/6 + 17*t[35] + (41*t[36])/3 - 
       (7*t[37])/3 - (19*t[38])/6 + (25*t[39])/6 + (28*t[40])/3 + 
       (25*t[41])/12 - (25*t[42])/12 - (11*t[43])/2 + (475*t[44])/12 - 
       t[45] - (91*t[46])/6 + (7*t[47])/3 - (335*t[48])/12 + (91*t[49])/3 - 
       (35*t[50])/4 - (577*t[51])/48 - (43*t[52])/4 - (44*t[53])/3 + 
       (67*t[54])/4 - 2*t[58] + 8*t[59] + (113*t[60])/2 + (3439*t[61])/12 - 
       (1979*t[62])/12 + (1123*t[63])/6 - (8327*t[64])/24 - (1030*t[65])/9 - 
       (429*t[66])/2 - 3*t[68] - 9*t[72] - 14*t[73] - (19*t[74])/3 + 
       18*t[75] + (235*t[76])/6 - (7*t[77])/6 - (289*t[78])/6 - 42*t[79] + 
       (17*t[80])/3 + (5*t[81])/3 + (2*t[82])/3 - 5*t[83] - (112*t[84])/3 - 
       (251*t[85])/6 - 59*t[86] - (239*t[87])/3 - (142*t[88])/3 - 
       (817*t[89])/8 + (14*t[95])/3 + 24*t[96] + (44*t[97])/3 + 140*t[98] - 
       112*t[99] - 56*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*(2*t[1] - (25*t[2])/12 - (47*t[3])/8 + 
       (577*t[4])/48 - (263*t[5])/24 + (335*t[6])/16 - (5*t[7])/12 + 
       (175*t[8])/12 + (217*t[9])/24 + (1439*t[10])/96 + (1721*t[11])/48 + 
       (2255*t[12])/96 - (6235*t[13])/432 + (6341*t[14])/576 + 
       (451*t[15])/288 - t[16]/2 + t[25]/6 + (5*t[26])/6 + (2*t[27])/3 + 
       4*t[28] + t[29]/2 + (7*t[30])/2 + (22*t[31])/3 + t[32] - t[33] - 
       (5*t[34])/3 - 6*t[35] - 13*t[36] + (35*t[37])/6 + t[38]/2 + 7*t[39] - 
       (61*t[40])/12 + (5*t[41])/6 - (5*t[42])/6 + 2*t[43] - (31*t[44])/4 + 
       (13*t[45])/3 - (19*t[46])/4 - (23*t[47])/3 + (127*t[48])/16 + 
       (953*t[49])/96 + (55*t[50])/16 + (181*t[51])/64 + (25*t[52])/16 + 
       (141*t[53])/32 - (58*t[54])/3 + (4*t[58])/3 - t[59]/3 - 
       (293*t[60])/48 + (1483*t[61])/48 - (61*t[62])/96 - (745*t[63])/32 + 
       (2371*t[64])/96 - (1471*t[65])/48 - (2579*t[66])/144 + t[68]/2 - 
       2*t[69] - (4*t[70])/3 + (4*t[71])/3 - 6*t[72] - 3*t[73] + 5*t[74] + 
       21*t[75] + t[76]/3 + (11*t[77])/3 - (28*t[78])/3 + 9*t[79] - 
       16*t[80] + (29*t[81])/12 - (23*t[82])/12 - 12*t[83] - (29*t[84])/48 - 
       (41*t[85])/16 - (85*t[86])/3 + (79*t[87])/48 - (123*t[88])/32 + 
       (197*t[89])/32 - 4*t[95] + (7*t[96])/3 - 20*t[98] + 40*t[99] - 
       55*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((-61*t[1])/12 + (29*t[2])/12 + (41*t[3])/12 + 
       (47*t[4])/16 + (11*t[5])/3 + (343*t[6])/48 - (215*t[7])/24 - 
       (185*t[8])/24 - (37*t[9])/24 - (1939*t[10])/96 + (149*t[11])/16 + 
       (761*t[12])/96 + (79*t[13])/8 + (1459*t[14])/192 - (1669*t[15])/288 - 
       (5*t[25])/6 + (8*t[26])/3 - (8*t[27])/3 - 5*t[28] - t[29] + t[30] - 
       t[31]/3 - t[32] + t[33] + (17*t[34])/6 + 6*t[35] - t[36] - 
       (14*t[37])/3 - (10*t[38])/3 - (4*t[39])/3 + (14*t[40])/3 - 
       (17*t[41])/12 + (17*t[42])/12 + t[43]/8 + 4*t[44] + t[45]/3 - 
       (55*t[46])/12 - (5*t[47])/3 + (75*t[48])/16 - (149*t[49])/96 + 
       (91*t[50])/16 + (727*t[51])/192 - (83*t[52])/16 - (331*t[53])/96 - 
       (31*t[54])/4 - t[58]/6 - t[59]/12 + (1553*t[60])/48 + (395*t[61])/48 + 
       (289*t[62])/32 + (815*t[63])/32 - (951*t[64])/32 + (1183*t[65])/144 - 
       (539*t[66])/16 + t[68]/2 - (4*t[70])/3 + (4*t[71])/3 + (2*t[72])/3 - 
       3*t[73] - 2*t[74] + 13*t[75] - (4*t[76])/3 - (11*t[77])/3 + 
       (31*t[78])/6 - 3*t[79] - (19*t[80])/3 + (23*t[81])/4 - t[82]/12 - 
       t[83] + (1019*t[84])/48 + (857*t[85])/48 - (5*t[86])/6 - 
       (95*t[87])/16 - (733*t[88])/96 - (1687*t[89])/96 + t[93] - 4*t[95] - 
       (20*t[96])/3 - (9*t[97])/2 - 20*t[98] + 40*t[99] - 55*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      (-t[1]/3 - (23*t[2])/6 - (31*t[3])/6 + (59*t[4])/3 - (95*t[5])/12 - 
       (51*t[6])/4 - (31*t[7])/6 - (131*t[8])/6 + (167*t[9])/12 + 
       (37*t[10])/3 + (157*t[11])/12 - (103*t[12])/12 + (215*t[13])/108 + 
       (817*t[14])/36 - (235*t[15])/72 - (2*t[26])/3 + (8*t[27])/3 + 
       2*t[28] + 2*t[30] + (16*t[31])/3 - (2*t[34])/3 - 2*t[36] + 
       (10*t[37])/3 + (2*t[38])/3 + 4*t[39] - t[40]/3 + t[41]/3 - t[42]/3 + 
       t[43] + (4*t[45])/3 - (8*t[47])/3 - (27*t[48])/4 + (67*t[49])/6 - 
       (85*t[50])/12 - (79*t[51])/12 + (37*t[52])/12 - (35*t[53])/6 - 
       (41*t[54])/4 - (2*t[58])/3 + t[59]/6 + (79*t[60])/3 + (107*t[61])/3 - 
       (251*t[62])/12 + (131*t[63])/12 - 47*t[64] - (104*t[65])/3 - 
       (584*t[66])/9 - 2*t[69] + (2*t[70])/3 - (2*t[71])/3 - 6*t[72] + 
       2*t[74] + 4*t[75] + (46*t[76])/3 + (8*t[77])/3 - (37*t[78])/3 - 
       8*t[79] + 6*t[80] + (38*t[81])/3 - (20*t[82])/3 - (4*t[83])/3 - 
       (9*t[84])/2 + (34*t[85])/3 - 20*t[86] - (110*t[87])/3 - 24*t[88] - 
       (3*t[89])/2 + (16*t[96])/3 + 3*t[97] + 88*t[98] - 72*t[99] - 
       54*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      ((7*t[1])/6 - (4*t[2])/3 + (25*t[3])/6 + (62*t[4])/3 + t[5]/4 - 
       (55*t[6])/6 - t[7] - 11*t[8] + 5*t[9] - (539*t[10])/24 + 
       (203*t[11])/6 - (149*t[12])/24 + (101*t[13])/6 + (14*t[14])/9 - 
       (185*t[15])/24 + (5*t[25])/3 - (16*t[26])/3 - (5*t[27])/3 - t[28] - 
       (7*t[31])/3 + (4*t[34])/3 + 2*t[35] + t[37]/3 + (8*t[38])/3 - 
       t[39]/3 + (8*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 - (5*t[45])/3 - 
       (11*t[46])/6 + (10*t[47])/3 - (11*t[48])/4 - (37*t[49])/8 + t[50]/4 + 
       (113*t[51])/24 - (17*t[52])/4 - (7*t[53])/8 - (53*t[54])/4 - 
       (2*t[58])/3 - (4*t[59])/3 + (487*t[60])/12 + (139*t[61])/6 - 
       (797*t[62])/24 - (323*t[63])/24 - (289*t[64])/12 - (541*t[65])/36 - 
       (2129*t[66])/36 - t[69] + (2*t[70])/3 - (2*t[71])/3 + (5*t[72])/3 + 
       t[74] - 3*t[75] + (2*t[76])/3 - (2*t[77])/3 - (7*t[78])/3 - 4*t[79] + 
       (35*t[80])/3 + 5*t[81] - (4*t[82])/3 + (61*t[83])/6 + (85*t[84])/6 + 
       (17*t[85])/3 + 24*t[86] - (67*t[87])/6 - (9*t[88])/4 - 
       (439*t[89])/24 - 2*t[95] - (8*t[96])/3 - 8*t[98] + 12*t[99] - 
       54*t[100]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-9*t[1])/4 + (27*t[2])/4 - (9*t[3])/4 - (33*t[4])/2 + (51*t[5])/8 + 
       (141*t[6])/8 - (51*t[7])/4 + (75*t[8])/4 - (81*t[9])/8 - 
       (219*t[10])/4 - (87*t[11])/8 + (135*t[12])/8 + (743*t[13])/24 - 
       (297*t[14])/8 + (209*t[15])/16 + 6*t[19] + 6*t[20] + 6*t[21] - 
       6*t[22] - 6*t[23] - 6*t[27] + 3*t[29] - 3*t[32] + 3*t[33] + 
       (3*t[34])/2 - 3*t[37] - (3*t[38])/2 - (9*t[39])/2 + 3*t[40] + 
       (9*t[41])/4 - (9*t[42])/4 - 6*t[45] + 6*t[47] + (63*t[48])/8 - 
       (21*t[49])/2 + (39*t[50])/8 + (105*t[51])/8 - (3*t[52])/8 + 
       (9*t[53])/2 + (153*t[54])/8 + (3*t[59])/4 + (111*t[60])/4 - 
       (87*t[61])/4 + (177*t[62])/4 - (105*t[63])/4 + (519*t[64])/8 + 
       (85*t[65])/2 + (171*t[66])/4 + 3*t[72] - (27*t[76])/2 - 3*t[77] + 
       (57*t[78])/2 + 24*t[80] + 3*t[82] - 3*t[83] + 18*t[84] - 6*t[85] + 
       18*t[86] + 21*t[87] + 9*t[88] + (135*t[89])/8 - 9*t[96] - 
       (9*t[97])/2 - 72*t[98] + 72*t[99] - 54*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((51*t[1])/4 - (3*t[2])/4 - (75*t[3])/4 + (45*t[4])/4 - (231*t[5])/8 + 
       (87*t[6])/4 + (93*t[7])/4 + (99*t[8])/4 + (291*t[9])/8 + 
       (105*t[10])/8 + (57*t[11])/2 - (33*t[12])/2 + (55*t[13])/8 + 
       (305*t[14])/16 + (91*t[15])/16 + 6*t[19] - 6*t[20] - 6*t[21] + 
       3*t[22] + 6*t[23] - 9*t[26] - 3*t[27] + 3*t[29] + 3*t[32] - 3*t[33] - 
       (3*t[34])/2 - 6*t[37] + (21*t[38])/2 + 3*t[39] - 6*t[40] - 
       (3*t[41])/4 + (3*t[42])/4 + 3*t[45] - 3*t[46] - (9*t[48])/4 + 
       (33*t[49])/8 + (51*t[50])/4 + (39*t[51])/16 - (21*t[52])/4 - 
       (9*t[53])/8 - (3*t[54])/2 - (15*t[59])/4 + (45*t[60])/2 + 60*t[61] - 
       (99*t[62])/4 - (57*t[63])/4 - (15*t[64])/4 - 6*t[65] - 21*t[66] + 
       6*t[72] - 12*t[76] + (51*t[78])/2 - 27*t[80] + (3*t[81])/2 - 
       (15*t[82])/2 + 15*t[84] - (33*t[85])/2 + 6*t[86] + (51*t[87])/2 + 
       (51*t[88])/4 + 3*t[89] - (3*t[97])/2 - 72*t[98] + 72*t[99] - 
       54*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((65*t[1])/4 - (5*t[2])/2 + (3*t[3])/8 - 
       (965*t[4])/48 + (347*t[5])/24 - (271*t[6])/24 + (553*t[7])/24 + 
       (697*t[8])/8 + (113*t[9])/4 - (5561*t[10])/96 + 78*t[11] + 
       (4257*t[12])/32 + (2693*t[13])/36 + (27367*t[14])/576 - 
       (4733*t[15])/96 - 3*t[16] - 5*t[19] + 6*t[20] + 6*t[21] - 2*t[22] - 
       6*t[23] - 5*t[25] - (17*t[26])/2 - 6*t[28] - 3*t[30] - 21*t[31] + 
       (5*t[32])/2 - (5*t[33])/2 - (7*t[34])/2 + (29*t[36])/2 + 13*t[37] + 
       15*t[38] + (13*t[39])/2 - (5*t[40])/2 + (13*t[41])/4 - (13*t[42])/4 - 
       t[43] - 3*t[44] - (107*t[45])/6 - (41*t[46])/4 + (77*t[47])/2 + 
       (371*t[48])/24 - (641*t[49])/32 - (1099*t[50])/24 + (8765*t[51])/192 + 
       (967*t[52])/24 + (1489*t[53])/32 + (1269*t[54])/16 - t[58]/2 - 
       5*t[59] - (3559*t[60])/48 - (1813*t[61])/48 - (15857*t[62])/96 - 
       (13823*t[63])/96 + (20567*t[64])/96 - (14887*t[65])/144 - 
       (75017*t[66])/144 + (9*t[69])/2 - 7*t[70] + 7*t[71] - (9*t[72])/2 + 
       39*t[73] - (65*t[74])/2 + 45*t[75] + (127*t[76])/2 + (9*t[77])/2 - 
       (173*t[78])/2 + 6*t[79] + 58*t[80] + (71*t[81])/4 - (53*t[82])/4 - 
       (317*t[83])/4 - (1013*t[84])/16 - (363*t[85])/16 + 55*t[86] + 
       (373*t[87])/16 - (547*t[88])/32 - (14533*t[89])/96 + 29*t[95] + 
       26*t[96] + (17*t[97])/2 + 348*t[98] - 318*t[99] - (99*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*
      ((31*t[1])/9 + (151*t[2])/144 + (29*t[3])/9 - (7195*t[4])/288 + 
       (643*t[5])/288 - (659*t[6])/96 - (49*t[7])/9 - (169*t[8])/18 + 
       (2987*t[9])/288 + (3845*t[10])/576 - (7547*t[11])/288 - 
       (4853*t[12])/576 - (85537*t[13])/2592 + (33673*t[14])/3456 - 
       (2213*t[15])/864 - 6*t[25] + (11*t[26])/9 - (5*t[27])/9 + 
       (5*t[28])/12 + (7*t[30])/6 + (26*t[31])/9 + (23*t[34])/36 - 
       (5*t[35])/6 + (29*t[36])/6 + (107*t[37])/36 + (145*t[38])/36 + 
       (23*t[39])/12 - t[40]/18 - (23*t[41])/72 + (23*t[42])/72 + 
       (7*t[43])/12 - (11*t[44])/12 + (11*t[45])/36 + (9*t[46])/8 - 
       (11*t[47])/18 - (223*t[48])/96 + (4831*t[49])/576 + (59*t[50])/288 - 
       (3229*t[51])/1152 + (157*t[52])/288 + (1453*t[53])/576 + 
       (101*t[54])/6 - (31*t[58])/36 - (95*t[59])/36 - (15119*t[60])/288 - 
       (145*t[61])/288 + (11855*t[62])/576 + (60169*t[63])/576 - 
       (8315*t[64])/192 - (567*t[65])/32 + (17221*t[66])/864 - (7*t[69])/6 - 
       (37*t[70])/18 + (37*t[71])/18 - (11*t[72])/6 + (17*t[73])/12 - 
       (19*t[74])/4 - (35*t[75])/12 + (407*t[76])/36 - (2*t[77])/9 - 
       (395*t[78])/36 + (7*t[79])/6 + (17*t[80])/3 + (58*t[81])/9 + 
       (173*t[82])/36 + (109*t[83])/36 - (613*t[84])/32 - (689*t[85])/288 - 
       (83*t[86])/6 - (4241*t[87])/288 - (1337*t[88])/64 - (8215*t[89])/192 + 
       (41*t[95])/6 + (35*t[96])/9 - (4*t[97])/3 + (215*t[98])/3 - 58*t[99] - 
       49*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*(-7*t[3] - (3*t[4])/2 - (61*t[5])/2 - 
       (13*t[6])/2 + 8*t[7] - 14*t[8] + (43*t[9])/2 + (63*t[10])/4 + 
       (15*t[11])/2 - (55*t[12])/4 - 9*t[13] + (143*t[14])/24 - 4*t[15] - 
       4*t[27] + 4*t[29] - (11*t[48])/2 + (21*t[49])/4 + (9*t[50])/2 - 
       (59*t[51])/8 - (9*t[52])/2 - (21*t[53])/4 - 15*t[54] - (29*t[60])/2 + 
       (81*t[61])/2 - (229*t[62])/4 + (37*t[63])/4 + (65*t[64])/4 + 
       (65*t[65])/6 - (27*t[66])/2 + 2*t[72] - 6*t[76] - 8*t[79] + 4*t[81] - 
       16*t[82] + 16*t[83] + (3*t[84])/2 + (7*t[85])/2 + 48*t[86] + 
       (9*t[87])/2 + (9*t[88])/4 + (41*t[89])/4 - 48*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*(-7*t[3] - (3*t[4])/2 - 
       (61*t[5])/2 - (13*t[6])/2 + 8*t[7] - 14*t[8] + (43*t[9])/2 + 
       (63*t[10])/4 + (15*t[11])/2 - (55*t[12])/4 - 9*t[13] + 
       (143*t[14])/24 - 4*t[15] - 4*t[27] + 4*t[29] - (11*t[48])/2 + 
       (21*t[49])/4 + (9*t[50])/2 - (59*t[51])/8 - (9*t[52])/2 - 
       (21*t[53])/4 - 15*t[54] - (29*t[60])/2 + (81*t[61])/2 - 
       (229*t[62])/4 + (37*t[63])/4 + (65*t[64])/4 + (65*t[65])/6 - 
       (27*t[66])/2 + 2*t[72] - 6*t[76] - 8*t[79] + 4*t[81] - 16*t[82] + 
       16*t[83] + (3*t[84])/2 + (7*t[85])/2 + 48*t[86] + (9*t[87])/2 + 
       (9*t[88])/4 + (41*t[89])/4 - 48*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (5*t[3] - (33*t[4])/2 + (49*t[5])/2 + (15*t[6])/2 + 8*t[7] + 30*t[8] - 
       (25*t[9])/2 - (225*t[10])/4 + (47*t[11])/2 + (105*t[12])/4 + 
       (58*t[13])/3 - (673*t[14])/24 + (43*t[15])/6 - 2*t[27] + 8*t[46] + 
       (23*t[48])/2 - (87*t[49])/4 - (13*t[50])/2 + (61*t[51])/8 + 
       (13*t[52])/2 + (79*t[53])/4 + 5*t[54] + (15*t[60])/2 + (3*t[61])/2 + 
       (115*t[62])/4 - (171*t[63])/4 + (205*t[64])/4 + (119*t[65])/6 + 
       (47*t[66])/2 + 4*t[72] - 6*t[76] + 8*t[79] - 4*t[81] + 8*t[82] - 
       20*t[83] + (17*t[84])/2 - (7*t[85])/2 - 8*t[86] + (7*t[87])/2 + 
       (7*t[88])/4 + (49*t[89])/4 - 48*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*(5*t[3] - (33*t[4])/2 + (49*t[5])/2 + 
       (15*t[6])/2 + 8*t[7] + 30*t[8] - (25*t[9])/2 - (225*t[10])/4 + 
       (47*t[11])/2 + (105*t[12])/4 + (58*t[13])/3 - (673*t[14])/24 + 
       (43*t[15])/6 - 2*t[27] + 8*t[46] + (23*t[48])/2 - (87*t[49])/4 - 
       (13*t[50])/2 + (61*t[51])/8 + (13*t[52])/2 + (79*t[53])/4 + 5*t[54] + 
       (15*t[60])/2 + (3*t[61])/2 + (115*t[62])/4 - (171*t[63])/4 + 
       (205*t[64])/4 + (119*t[65])/6 + (47*t[66])/2 + 4*t[72] - 6*t[76] + 
       8*t[79] - 4*t[81] + 8*t[82] - 20*t[83] + (17*t[84])/2 - (7*t[85])/2 - 
       8*t[86] + (7*t[87])/2 + (7*t[88])/4 + (49*t[89])/4 - 48*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      ((-143*t[3])/12 - (817*t[4])/48 - (473*t[5])/48 + 6*t[6] + 
       (277*t[7])/24 + (181*t[8])/6 + (449*t[9])/24 + (341*t[10])/96 - 
       (215*t[11])/48 + (325*t[12])/32 - (611*t[13])/72 + (3433*t[14])/144 + 
       (905*t[15])/432 - (7*t[25])/6 + (10*t[26])/3 + t[27]/2 - (7*t[28])/6 - 
       (5*t[30])/12 - (5*t[31])/12 - (3*t[34])/2 + (7*t[35])/3 + 
       (23*t[36])/12 + (17*t[37])/3 - (17*t[38])/12 + 2*t[39] - (9*t[40])/4 + 
       (3*t[41])/4 - (3*t[42])/4 - (5*t[43])/24 + t[44]/3 - t[45]/6 - 
       (25*t[46])/12 + t[47]/3 + (247*t[48])/24 + (1219*t[49])/96 - 
       (143*t[50])/24 - (9*t[51])/32 + (77*t[52])/8 - (13*t[53])/96 + 
       (623*t[54])/24 + (29*t[59])/24 - (1553*t[60])/48 + (82*t[61])/3 - 
       (169*t[62])/12 + (205*t[63])/8 + (1663*t[64])/96 - (3955*t[65])/144 - 
       (8813*t[66])/144 - (5*t[69])/2 - (14*t[70])/3 + (14*t[71])/3 - 
       (2*t[72])/3 + (7*t[73])/6 - (31*t[74])/12 - (5*t[75])/3 + 
       (73*t[76])/6 + t[77]/2 - 13*t[78] - (7*t[80])/2 + (149*t[81])/24 - 
       (33*t[82])/8 + (23*t[83])/12 - (953*t[84])/48 - (53*t[85])/4 - 
       (29*t[86])/6 - (73*t[87])/16 - (497*t[88])/32 - (1559*t[89])/96 + 
       (20*t[95])/3 + (49*t[96])/6 + (5*t[97])/12 + 63*t[98] - 49*t[99] - 
       (93*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((413*t[1])/72 - (731*t[2])/144 + (253*t[3])/36 + 
       (11237*t[4])/576 + (1015*t[5])/72 - (5021*t[6])/288 + (647*t[7])/144 + 
       (1117*t[8])/72 - (2207*t[9])/144 + (629*t[10])/128 + 
       (3811*t[11])/144 - (1303*t[12])/128 + (2627*t[13])/576 - 
       (30667*t[14])/6912 - (2515*t[15])/3456 - (5*t[25])/9 - (38*t[26])/9 + 
       (119*t[27])/36 - (7*t[28])/4 + t[29]/2 + (4*t[30])/3 - (14*t[31])/9 + 
       t[32] - t[33] - (67*t[34])/36 - t[35]/2 + (11*t[36])/12 + 
       (20*t[37])/9 + (193*t[38])/36 + (22*t[39])/9 + (49*t[40])/36 + 
       (67*t[41])/72 - (67*t[42])/72 - t[43]/12 - 9*t[44] + (31*t[45])/18 + 
       (77*t[46])/72 - (22*t[47])/9 + (43*t[48])/32 + (10495*t[49])/1152 - 
       (341*t[50])/32 - (13393*t[51])/2304 + (551*t[52])/96 - 
       (5431*t[53])/1152 - (1639*t[54])/192 - (25*t[58])/36 - (5*t[59])/9 - 
       (489*t[60])/64 + (15343*t[61])/576 - (31823*t[62])/1152 - 
       (6953*t[63])/1152 + (14647*t[64])/1152 - (20615*t[65])/576 - 
       (48503*t[66])/1728 - (5*t[69])/6 - (5*t[70])/9 + (5*t[71])/9 + 
       (53*t[72])/18 - (107*t[73])/12 + (7*t[74])/12 + (67*t[75])/12 + 
       (161*t[76])/18 - (5*t[77])/18 - (647*t[78])/36 + (25*t[79])/4 + 
       (67*t[80])/9 - t[81]/2 + (245*t[82])/18 + (395*t[83])/36 - 
       (7349*t[84])/576 - (6557*t[85])/576 + (335*t[86])/36 - 
       (4547*t[87])/576 - (7747*t[88])/1152 - (8951*t[89])/1152 + 
       (5*t[95])/3 + (377*t[96])/36 + (21*t[97])/4 + (116*t[98])/3 - 
       14*t[99] - (275*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((133*t[1])/36 - 4*t[2] - 
       (53*t[3])/8 + (475*t[4])/72 - (445*t[5])/288 - (59*t[6])/24 + 
       (943*t[7])/144 + (1951*t[8])/144 + (877*t[9])/288 + 
       (11647*t[10])/576 + (4693*t[11])/288 - (1835*t[12])/576 - 
       (7625*t[13])/864 + (31057*t[14])/1152 - (55*t[15])/72 - t[19] - 
       t[20] - t[21] + t[22] + t[23] - (95*t[26])/72 + t[27] - t[29]/2 + 
       t[30]/2 + t[31] + (3*t[32])/2 - (3*t[33])/2 - (9*t[34])/4 + 
       (17*t[36])/36 + (3*t[37])/2 + (185*t[38])/72 + 4*t[39] - (5*t[40])/4 + 
       (5*t[41])/8 - (5*t[42])/8 - t[43]/4 - t[44] + (5*t[45])/2 + t[46]/16 - 
       3*t[47] + (23*t[48])/12 + (7513*t[49])/576 - (79*t[50])/12 - 
       (2713*t[51])/384 + (16*t[52])/3 - (2605*t[53])/576 - (509*t[54])/144 + 
       (13*t[59])/144 - (2441*t[60])/288 + (16841*t[61])/288 - 
       (20321*t[62])/576 + (6865*t[63])/576 - (2903*t[64])/192 - 
       (12563*t[65])/432 - (6889*t[66])/144 - (5*t[69])/6 - t[70] + t[71] + 
       (7*t[73])/12 - (19*t[74])/18 + (13*t[75])/12 + 10*t[76] + 
       (3*t[77])/2 - 17*t[78] - (7*t[79])/12 - 7*t[80] + (73*t[81])/36 - 
       (73*t[82])/36 - (4*t[83])/9 - (2053*t[84])/144 - (1579*t[85])/144 - 
       (353*t[86])/36 - (41*t[87])/6 - (1205*t[88])/144 - (7267*t[89])/576 + 
       (19*t[95])/9 + 8*t[96] + 4*t[97] + 54*t[98] - 48*t[99] - 
       (545*t[100])/12) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*(t[1]/36 + (199*t[2])/144 + 
       (19*t[3])/36 - (10607*t[4])/576 - (121*t[5])/24 - (563*t[6])/288 + 
       (7*t[7])/8 - (151*t[8])/24 + (911*t[9])/48 - (37627*t[10])/1152 + 
       (691*t[11])/72 + (8897*t[12])/1152 + (1673*t[13])/192 - 
       (69923*t[14])/6912 - (347*t[15])/384 + (29*t[25])/18 - 
       (107*t[26])/36 + (8*t[27])/9 - (5*t[28])/12 - t[30]/6 - (20*t[31])/9 + 
       (29*t[34])/36 + (5*t[35])/6 + (11*t[36])/12 + (101*t[37])/36 + 
       (11*t[38])/18 + (43*t[39])/36 + (7*t[40])/9 - (29*t[41])/72 + 
       (29*t[42])/72 - t[43]/12 + (11*t[44])/12 + (47*t[45])/36 - 
       (11*t[46])/36 - (47*t[47])/18 + (179*t[48])/96 - (457*t[49])/128 - 
       (61*t[50])/96 + (22607*t[51])/2304 + (149*t[52])/96 + 
       (3587*t[53])/384 + (1119*t[54])/64 - (25*t[58])/36 - (43*t[59])/72 - 
       (8329*t[60])/576 - (4829*t[61])/576 + (29153*t[62])/1152 + 
       (22871*t[63])/1152 + (39827*t[64])/1152 - (12725*t[65])/1728 - 
       (99991*t[66])/1728 - t[69]/2 - (14*t[70])/9 + (14*t[71])/9 + 
       (53*t[72])/18 + 3*t[73] - (4*t[74])/3 - 3*t[75] + (131*t[76])/18 - 
       (79*t[77])/36 - (169*t[78])/18 - (31*t[80])/18 + (149*t[81])/12 - 
       (41*t[82])/36 - (53*t[83])/36 - (1973*t[84])/576 - (989*t[85])/576 - 
       (43*t[86])/3 - (3487*t[87])/576 - (5141*t[88])/384 - 
       (16415*t[89])/1152 + (11*t[95])/2 + (11*t[96])/9 - (5*t[97])/3 + 
       (68*t[98])/3 - 19*t[99] - (179*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((-5*t[1])/3 - (8*t[2])/3 - t[3]/3 + (113*t[4])/6 - (5*t[5])/6 - 
       (41*t[6])/4 - (23*t[7])/6 - (139*t[8])/6 + (49*t[9])/12 - 
       (35*t[10])/24 + (245*t[11])/12 - (55*t[12])/24 + (190*t[13])/27 + 
       (325*t[14])/72 - (7*t[15])/9 + t[25] - t[26]/3 + (7*t[27])/3 + t[28] + 
       2*t[30] + (11*t[31])/3 - t[34]/3 - 4*t[36] + (11*t[37])/3 - 
       (2*t[38])/3 + 3*t[39] + t[40]/3 + t[41]/6 - t[42]/6 + t[43] + 
       (5*t[45])/3 + (3*t[46])/2 - (10*t[47])/3 - (9*t[48])/2 + 
       (137*t[49])/24 - (13*t[50])/6 - (53*t[51])/12 - (5*t[52])/6 - 
       (109*t[53])/24 - 16*t[54] - t[58]/3 + t[59]/3 + (299*t[60])/12 + 
       (43*t[61])/3 - (215*t[62])/24 - (241*t[63])/24 - 4*t[64] - 
       (79*t[65])/4 - (949*t[66])/36 - 3*t[69] + (4*t[70])/3 - (4*t[71])/3 - 
       5*t[72] + 3*t[74] + 3*t[75] + (29*t[76])/3 + (4*t[77])/3 - 
       (23*t[78])/3 - 4*t[79] + t[80] + (22*t[81])/3 - (10*t[82])/3 - 
       (7*t[83])/6 + (3*t[84])/2 + (35*t[85])/3 - 12*t[86] - (131*t[87])/6 - 
       (53*t[88])/4 + (55*t[89])/8 - 2*t[95] + (8*t[96])/3 + 2*t[97] + 
       56*t[98] - 44*t[99] - 44*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*((5*t[1])/3 + (25*t[2])/8 - (31*t[3])/6 + 
       (481*t[4])/24 - (503*t[5])/24 - (17*t[6])/48 + (851*t[7])/48 + 
       (481*t[8])/16 + (1807*t[9])/48 - (559*t[10])/24 + (465*t[11])/8 + 
       (217*t[12])/16 + (11069*t[13])/864 + (455*t[14])/32 - 
       (2117*t[15])/288 + t[17]/12 - t[19] - 2*t[21] - (4*t[23])/3 - 
       (4*t[24])/3 - 6*t[31] + (2*t[34])/3 - t[37] + t[38]/3 + t[41]/3 + 
       t[42]/6 - (265*t[43])/48 + (73*t[45])/24 - (11*t[46])/12 + 
       (77*t[47])/4 + (103*t[48])/24 + (257*t[49])/48 + (47*t[50])/24 - 
       (103*t[51])/96 - (21*t[52])/8 - (257*t[53])/48 - (31*t[54])/3 + 
       (4*t[59])/3 + (53*t[60])/4 + (284*t[61])/3 - (689*t[62])/8 - 
       (415*t[63])/24 - (109*t[64])/12 + (117*t[65])/4 - (1219*t[66])/12 + 
       (7*t[67])/6 + 3*t[69] - (2*t[70])/3 + (2*t[71])/3 + t[74]/3 - 
       2*t[75] - (4*t[76])/3 + (2*t[78])/3 + 2*t[79] + (50*t[80])/3 + 
       (7*t[81])/3 - 7*t[82] + (13*t[83])/2 + (47*t[84])/12 - (19*t[85])/4 + 
       (109*t[86])/2 + t[87]/4 + t[88]/8 - (49*t[89])/8 - (7*t[94])/6 - 
       8*t[98] + 16*t[99] - 43*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - v]*(-t[1]/6 + (71*t[2])/24 + (339*t[3])/16 + 
       (65*t[4])/6 + (973*t[5])/48 - (89*t[6])/24 - (479*t[7])/24 - 
       (97*t[8])/24 - (565*t[9])/16 - (97*t[10])/12 + (53*t[11])/2 - 
       (35*t[12])/16 + (1823*t[13])/144 - (3331*t[14])/144 + 
       (713*t[15])/108 - 2*t[18] - 2*t[20] - 2*t[23] + 3*t[28] + 
       (37*t[29])/12 + (11*t[30])/6 - (37*t[32])/4 + (55*t[33])/6 - 
       (10*t[34])/3 - 5*t[35] - t[37] - (4*t[40])/3 - t[41]/2 + t[42]/2 + 
       (143*t[44])/24 + (4*t[45])/3 - (7*t[47])/3 + (17*t[48])/3 + 
       (3*t[49])/2 - (29*t[50])/6 - (3*t[51])/4 + (47*t[52])/6 - 
       (3*t[53])/2 - (305*t[54])/24 + (7*t[59])/3 - (721*t[60])/24 + 
       (485*t[61])/24 + (61*t[62])/8 + (85*t[63])/6 + (193*t[64])/16 + 
       (659*t[65])/72 - (1181*t[66])/72 + 4*t[69] + 2*t[73] + t[74] + 
       3*t[75] - (4*t[76])/3 + (2*t[78])/3 + t[79] - t[80]/3 + t[81]/4 - 
       (11*t[82])/12 - 4*t[83] - (253*t[84])/24 - (59*t[85])/6 + t[86] + 
       (37*t[87])/4 - (13*t[88])/24 - (187*t[89])/12 + 6*t[95] - t[97]/3 - 
       8*t[98] + 16*t[99] - 43*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((13*t[1])/4 - (5*t[2])/12 - 
       (55*t[3])/8 - (1853*t[4])/64 - (11*t[5])/4 + (451*t[6])/96 - 
       (55*t[7])/24 + (53*t[8])/4 + (235*t[9])/48 + (5807*t[10])/384 - 
       (285*t[11])/32 - (379*t[12])/128 - (46879*t[13])/1728 + 
       (54413*t[14])/2304 + (4877*t[15])/3456 - 3*t[25] + t[26]/6 - 
       (5*t[27])/6 + t[28]/6 + (5*t[30])/12 + (3*t[31])/4 - (4*t[34])/3 - 
       t[35]/3 + (35*t[36])/12 - (29*t[37])/6 + (43*t[38])/12 + 
       (17*t[39])/6 - (5*t[40])/12 + (2*t[41])/3 - (2*t[42])/3 + 
       (5*t[43])/24 + (2*t[44])/3 + (11*t[45])/6 + (21*t[46])/8 - 
       (11*t[47])/3 + (145*t[48])/32 + (4057*t[49])/384 - (37*t[50])/96 - 
       (1895*t[51])/256 + (135*t[52])/32 - t[53]/384 + (537*t[54])/64 + 
       t[58]/6 - (29*t[59])/24 - (10291*t[60])/192 + (6667*t[61])/192 + 
       (1711*t[62])/128 + (25043*t[63])/384 + (1653*t[64])/128 + 
       (9095*t[65])/576 + (5195*t[66])/192 + (19*t[69])/6 - (2*t[70])/3 + 
       (2*t[71])/3 + (4*t[72])/3 + (7*t[73])/4 - (61*t[74])/12 - 
       (3*t[75])/4 + 4*t[76] + (2*t[77])/3 - 11*t[78] + (43*t[79])/6 - 
       (16*t[80])/3 + (67*t[81])/12 + (9*t[82])/2 + (5*t[83])/3 - 
       (679*t[84])/64 - (3037*t[85])/192 - (68*t[86])/3 + (2857*t[87])/192 - 
       (1015*t[88])/384 - (7225*t[89])/384 + (16*t[95])/3 + (9*t[96])/2 + 
       t[97]/12 + 14*t[98] - 10*t[99] - (169*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((43*t[1])/24 + (19*t[3])/8 + (61*t[4])/16 + (57*t[5])/8 - 
       (75*t[6])/16 - (69*t[7])/8 - (25*t[8])/8 - 9*t[9] - (81*t[10])/32 + 
       (479*t[11])/48 - (289*t[12])/32 + (157*t[13])/72 + (7319*t[14])/576 - 
       (365*t[15])/96 - t[19] + t[20] + t[21] - t[22]/2 - t[23] - t[25]/2 - 
       (19*t[26])/6 + t[27]/2 - t[29]/2 + t[30]/2 - t[31] - (3*t[32])/2 + 
       (3*t[33])/2 + (3*t[34])/4 + (5*t[36])/6 + (5*t[37])/2 + 
       (35*t[38])/12 - (3*t[39])/2 + (11*t[40])/4 - t[41]/8 + t[42]/8 - 
       t[43]/4 - t[44] - t[45]/2 + t[46]/2 - t[47] + (53*t[48])/16 + 
       (117*t[49])/32 - (67*t[50])/16 - (129*t[51])/64 + (31*t[52])/16 - 
       (109*t[53])/32 + (11*t[54])/3 - t[58]/2 - (19*t[59])/12 + 
       (179*t[60])/16 + (323*t[61])/48 - (739*t[62])/96 + (2315*t[63])/96 - 
       (737*t[64])/96 - (475*t[65])/16 - (7529*t[66])/144 - 2*t[69] - t[70] + 
       t[71] - t[73] + t[74]/6 + t[75] + 6*t[76] - t[77] - 9*t[78] + t[79] + 
       5*t[80] + (53*t[81])/12 + (7*t[82])/12 - (71*t[84])/48 + 
       (175*t[85])/48 - 7*t[86] - (1043*t[87])/48 - (1291*t[88])/96 - 
       (2245*t[89])/96 - t[95]/3 + t[96] + 30*t[98] - 24*t[99] - 42*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((41*t[1])/6 - (14*t[2])/3 + (25*t[3])/6 + (755*t[4])/24 + 
       (253*t[5])/24 + (93*t[6])/8 - (11*t[7])/6 + (59*t[8])/6 - 
       (325*t[9])/24 + (455*t[10])/48 + (931*t[11])/24 - (107*t[12])/48 + 
       (4481*t[13])/216 + (355*t[14])/288 - (115*t[15])/18 + 2*t[25] - 
       (19*t[26])/3 + (4*t[27])/3 + 2*t[29] - (10*t[31])/3 + 2*t[32] - 
       2*t[33] - (4*t[34])/3 - 4*t[35] - 3*t[36] - (7*t[37])/3 + 
       (16*t[38])/3 + t[39] - (2*t[40])/3 + (2*t[41])/3 - (2*t[42])/3 - 
       4*t[44] - t[45]/3 - 4*t[46] + (8*t[47])/3 + (9*t[48])/8 - 
       (131*t[49])/48 - (85*t[50])/24 + (161*t[51])/96 + (37*t[52])/24 - 
       (221*t[53])/48 - (41*t[54])/2 + (2*t[58])/3 - (7*t[59])/6 + 
       (1075*t[60])/24 + (1175*t[61])/24 - (991*t[62])/48 - (2177*t[63])/48 - 
       (51*t[64])/16 - (329*t[65])/24 - (1265*t[66])/72 + 2*t[69] + 
       (4*t[70])/3 - (4*t[71])/3 + 6*t[72] + 4*t[73] + t[74] - 8*t[75] - 
       t[76]/3 + (7*t[77])/3 - (14*t[78])/3 + 16*t[79] - (31*t[81])/6 + 
       (19*t[82])/6 - (14*t[83])/3 + (55*t[84])/8 - (161*t[85])/24 - 
       10*t[86] + (313*t[87])/24 + (355*t[88])/16 - (9*t[89])/16 - 6*t[95] - 
       (4*t[96])/3 + 3*t[97] - 16*t[98] + 12*t[99] - 42*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-15*t[1])/4 - (5*t[2])/4 + (49*t[3])/8 - (209*t[4])/48 + 
       (233*t[5])/24 - (23*t[6])/2 - (131*t[7])/12 - (179*t[8])/12 - 
       (121*t[9])/12 - (907*t[10])/64 + (325*t[11])/96 + (1235*t[12])/192 + 
       (111*t[13])/32 - (2963*t[14])/384 + (337*t[15])/576 - t[19] + t[20] + 
       t[21] - t[22]/2 - t[23] - t[25]/2 + (9*t[26])/8 + t[27]/2 - t[29]/2 + 
       t[30]/2 - t[31] - (3*t[32])/2 + (3*t[33])/2 + (5*t[34])/4 + t[36]/2 + 
       (5*t[37])/2 - (15*t[38])/8 - (3*t[39])/2 + (15*t[40])/4 - 
       (3*t[41])/8 + (3*t[42])/8 - t[43]/4 - t[44] - t[45]/2 + 
       (17*t[46])/24 - t[47] - t[48]/2 + (145*t[49])/192 - 6*t[50] + 
       (319*t[51])/128 + (5*t[52])/4 + (295*t[53])/192 + (55*t[54])/12 - 
       t[58] + (17*t[59])/16 - (103*t[60])/32 - (527*t[61])/96 + 
       (2423*t[62])/192 + (4997*t[63])/192 + (1007*t[64])/192 - 
       (259*t[65])/36 - (1397*t[66])/72 + (5*t[69])/6 - t[70] + t[71] + 
       t[72] + (5*t[73])/6 - (4*t[74])/3 + (5*t[75])/2 + (19*t[76])/2 - 
       t[77] - 11*t[78] - (5*t[79])/6 + 8*t[80] + (17*t[81])/3 + t[82]/3 - 
       t[83]/12 - (55*t[84])/12 + (17*t[85])/3 - (43*t[86])/6 - 
       (967*t[87])/48 - (491*t[88])/32 - (3151*t[89])/192 + (8*t[95])/3 + 
       t[96] + t[97]/2 + 54*t[98] - 48*t[99] - (165*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (12*t[1] + (21*t[2])/4 - (289*t[3])/8 + (33*t[4])/8 - (203*t[5])/16 + 
       (801*t[6])/8 + (215*t[7])/8 + (803*t[8])/8 + (673*t[9])/16 + 
       (973*t[10])/16 + 29*t[11] - 10*t[12] - (2513*t[13])/144 + 
       (1963*t[14])/32 + (5089*t[15])/288 + (3*t[16])/2 - (9*t[25])/2 - 
       (25*t[26])/2 - 16*t[27] + 14*t[28] + 3*t[29] - 9*t[30] - 12*t[31] - 
       14*t[35] + 4*t[36] - 9*t[37] + 4*t[38] - 7*t[39] - (13*t[40])/2 + 
       (15*t[43])/4 - (31*t[44])/2 - (27*t[45])/4 - (29*t[46])/4 + 
       (27*t[47])/2 + (245*t[48])/8 - (319*t[49])/16 + (95*t[50])/8 + 
       (633*t[51])/32 - (15*t[52])/8 + (47*t[53])/16 + (39*t[54])/2 + 
       2*t[58] + 2*t[59] + (443*t[60])/8 + (705*t[61])/4 - (1797*t[62])/16 - 
       (1121*t[63])/16 + (49*t[64])/8 + (619*t[65])/12 - (47*t[66])/4 + 
       8*t[68] + 10*t[69] - 6*t[70] + 6*t[71] + 28*t[72] - 7*t[74] + 
       4*t[75] - (115*t[76])/2 + 2*t[77] + 54*t[78] + 12*t[79] + 15*t[80] + 
       (9*t[81])/4 - (141*t[82])/4 - 22*t[83] + (147*t[84])/4 - 
       (423*t[85])/8 + (121*t[86])/2 + (199*t[87])/8 + (511*t[88])/16 - 
       (57*t[89])/8 + t[91]/6 + 2*t[93] - 6*t[95] - 10*t[96] - 5*t[97] - 
       240*t[98] + 216*t[99] - 41*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-85*t[4])/6 - (35*t[5])/24 + 
       (35*t[7])/12 + (35*t[8])/12 + (35*t[9])/24 + (65*t[10])/12 - 
       (175*t[11])/12 - (905*t[12])/24 - (475*t[13])/18 + (3175*t[14])/144 - 
       (55*t[15])/16 + 5*t[36] + (5*t[49])/3 - (135*t[51])/16 - (5*t[53])/3 - 
       (25*t[54])/4 - (95*t[60])/3 + (175*t[61])/2 - (535*t[62])/24 + 
       (1415*t[63])/24 - (395*t[64])/12 + (1115*t[65])/36 + (1505*t[66])/36 - 
       5*t[73] - 25*t[75] + 5*t[79] + (100*t[83])/3 + (25*t[84])/4 + 
       (25*t[85])/4 + (35*t[86])/3 + (95*t[87])/3 + (95*t[88])/6 + 5*t[89] - 
       40*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-5*t[1])/3 - (10*t[3])/3 + (55*t[4])/6 - (65*t[5])/12 + (25*t[6])/8 + 
       (25*t[7])/4 + (155*t[8])/12 + (35*t[9])/4 - (135*t[10])/4 + 
       (755*t[11])/24 + (65*t[12])/12 + (1055*t[13])/36 + (865*t[14])/36 - 
       (665*t[15])/72 + (20*t[25])/3 - 5*t[26] - 5*t[37] - (5*t[38])/3 + 
       (55*t[46])/2 + (25*t[48])/8 - (475*t[49])/12 - (85*t[50])/24 - 
       (365*t[51])/12 + (85*t[52])/24 + (85*t[53])/12 - (65*t[54])/24 - 
       (5*t[59])/2 + (45*t[60])/4 + (125*t[61])/3 - (335*t[62])/8 - 
       (715*t[63])/24 + (305*t[64])/12 - (155*t[65])/12 - (1205*t[66])/12 - 
       5*t[73] + 5*t[74] - 25*t[75] + 5*t[79] + (5*t[81])/2 - (5*t[82])/2 + 
       (100*t[83])/3 + (115*t[84])/12 + (20*t[85])/3 + (35*t[86])/3 + 
       (125*t[87])/4 + (125*t[88])/8 + (205*t[89])/8 - 40*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      ((7*t[1])/12 - (83*t[2])/12 - (5*t[3])/3 + (151*t[4])/3 + (41*t[5])/4 - 
       (281*t[6])/24 - 5*t[7] - 12*t[8] - (25*t[9])/4 + (281*t[10])/24 + 
       (1375*t[11])/24 - (199*t[12])/24 + (1421*t[13])/36 + (905*t[14])/72 - 
       (17*t[15])/4 + (10*t[25])/3 - (37*t[26])/6 - (4*t[27])/3 + t[28] - 
       t[29] - 2*t[30] - (5*t[31])/3 - t[32] + t[33] + t[34]/6 - 4*t[36] - 
       t[37]/3 + (7*t[38])/3 + (4*t[39])/3 + (7*t[40])/3 - t[41]/12 + 
       t[42]/12 - t[43] - t[45]/3 + (5*t[46])/6 - t[47]/3 - (33*t[48])/8 - 
       (13*t[49])/8 - (85*t[50])/8 - (5*t[51])/24 + (9*t[52])/8 - 
       (71*t[53])/8 - (223*t[54])/8 - (5*t[58])/6 + t[59]/12 + 
       (287*t[60])/3 + (511*t[61])/12 - (833*t[62])/12 - (1025*t[63])/12 - 
       (133*t[64])/24 - (433*t[65])/18 - (730*t[66])/9 + t[69] + 
       (10*t[70])/3 - (10*t[71])/3 + (7*t[72])/3 + 3*t[74] + 3*t[75] + 
       (47*t[76])/6 + (14*t[77])/3 - (11*t[78])/3 - 4*t[79] + (28*t[80])/3 + 
       (17*t[81])/2 - (55*t[82])/6 + (23*t[83])/6 + (247*t[84])/12 + 
       (103*t[85])/12 + 10*t[86] - (355*t[87])/12 + (7*t[88])/8 + 
       (143*t[89])/12 - 6*t[95] - (4*t[96])/3 + (9*t[97])/2 + 32*t[98] - 
       44*t[99] - (79*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-37*t[1])/6 + (211*t[2])/6 - (317*t[3])/6 - 
       (1669*t[4])/24 + t[5]/6 + (263*t[6])/8 - (181*t[7])/12 + 
       (218*t[8])/3 - (61*t[9])/12 - (381*t[10])/16 - (429*t[11])/8 + 
       (1025*t[12])/48 - (115*t[13])/3 + (7591*t[14])/288 + 
       (5917*t[15])/432 - (5*t[17])/6 + 3*t[18] - t[19]/3 + 13*t[20] + 
       4*t[21] - 9*t[22] - 4*t[23] + (5*t[24])/3 - 2*t[25] + 10*t[26] - 
       5*t[27] - 2*t[28] - (16*t[29])/3 - (23*t[30])/3 + 2*t[31] + 
       (50*t[32])/3 - 5*t[33] - 5*t[34] + 4*t[35] + t[36] - (10*t[37])/3 - 
       8*t[38] + 3*t[39] - 4*t[40] + (9*t[41])/2 - 4*t[42] - (35*t[44])/6 + 
       (61*t[45])/6 - t[46]/2 - (85*t[47])/6 + (577*t[48])/24 - 
       (209*t[49])/48 + (31*t[50])/8 + (205*t[51])/96 + (73*t[52])/8 + 
       (401*t[53])/48 + (605*t[54])/12 + (5*t[55])/6 + t[58] + (3*t[59])/2 - 
       (11*t[60])/24 + (1831*t[61])/24 + (155*t[62])/48 + (1215*t[63])/16 + 
       (237*t[64])/16 + (389*t[65])/8 + (4201*t[66])/72 + (3*t[67])/2 + 
       t[68]/2 - 5*t[69] - t[70]/3 + t[71]/3 + 3*t[72] + 4*t[73] + 
       (8*t[74])/3 - 4*t[75] - (49*t[76])/2 - (10*t[77])/3 + 32*t[78] - 
       (23*t[80])/3 - (67*t[81])/6 + (13*t[82])/2 + (67*t[84])/8 - 
       (177*t[85])/8 - 10*t[86] + (305*t[87])/8 + (1411*t[88])/48 - 
       (223*t[89])/16 - (7*t[90])/6 - (10*t[95])/3 - (35*t[96])/3 - 
       (13*t[97])/3 - 152*t[98] + 156*t[99] - 39*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((-16*t[1])/3 + (211*t[2])/24 - (21*t[3])/2 - (3367*t[4])/96 - 
       (1331*t[5])/48 + (833*t[6])/24 + (95*t[7])/12 + (110*t[8])/3 + 
       (667*t[9])/48 + (379*t[10])/64 - (2485*t[11])/48 + (1865*t[12])/192 - 
       (10403*t[13])/288 + (9275*t[14])/384 + (6449*t[15])/1728 - t[22] - 
       2*t[25] + (21*t[26])/2 - (5*t[27])/3 - (13*t[28])/6 + (11*t[30])/6 + 
       (9*t[31])/2 + t[34]/3 + (13*t[35])/3 + t[36]/6 - 7*t[37] - 
       (15*t[38])/2 + (13*t[39])/6 - (17*t[40])/6 + t[41]/3 - t[42]/3 + 
       (11*t[43])/12 + (29*t[44])/6 + (5*t[45])/3 - (19*t[46])/6 - 
       (10*t[47])/3 + (331*t[48])/24 + (1451*t[49])/192 + (139*t[50])/24 - 
       (2821*t[51])/384 + (39*t[52])/8 - (587*t[53])/192 + (1961*t[54])/96 + 
       (4*t[58])/3 + 2*t[59] - (4601*t[60])/96 + (1201*t[61])/32 + 
       (6745*t[62])/192 + (11567*t[63])/192 - (3137*t[64])/192 + 
       (13811*t[65])/288 + (17593*t[66])/288 - 2*t[70] + 2*t[71] - 7*t[72] + 
       (11*t[73])/3 - (7*t[74])/3 - (11*t[75])/3 - (73*t[76])/6 - 
       (11*t[77])/3 + (145*t[78])/6 - (70*t[80])/3 - (25*t[81])/6 - 
       (23*t[82])/6 - (13*t[83])/6 + (89*t[84])/32 + (139*t[85])/96 - 
       (10*t[86])/3 + (3797*t[87])/96 + (711*t[88])/64 + (851*t[89])/64 - 
       (4*t[95])/3 - 3*t[96] - (35*t[97])/6 - 62*t[98] + 96*t[99] - 
       37*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*((40*t[1])/3 - (181*t[2])/6 + (58*t[3])/3 + 
       (3359*t[4])/24 + (635*t[5])/8 - (2309*t[6])/24 - (17*t[7])/2 - 
       (205*t[8])/2 - (315*t[9])/8 - (23*t[10])/48 + (5017*t[11])/24 - 
       (1061*t[12])/48 + (3245*t[13])/24 - (7693*t[14])/288 - (85*t[15])/8 + 
       2*t[22] + (22*t[25])/3 - (86*t[26])/3 + (8*t[27])/3 + 6*t[28] - 
       4*t[30] - (38*t[31])/3 - (7*t[34])/3 - 12*t[35] - t[36] + 
       (53*t[37])/3 + (58*t[38])/3 - (11*t[39])/3 + (28*t[40])/3 + t[41]/6 - 
       t[42]/6 - 2*t[43] - 10*t[44] - (13*t[45])/3 + (22*t[46])/3 + 
       (26*t[47])/3 - (283*t[48])/8 - (195*t[49])/16 - (227*t[50])/8 + 
       (1405*t[51])/96 - (69*t[52])/8 - (45*t[53])/16 - (149*t[54])/2 - 
       (13*t[58])/3 - (8*t[59])/3 + (5317*t[60])/24 + (359*t[61])/24 - 
       (8423*t[62])/48 - (10385*t[63])/48 + (79*t[64])/48 - 
       (12595*t[65])/72 - (19817*t[66])/72 + (22*t[70])/3 - (22*t[71])/3 + 
       (58*t[72])/3 - 12*t[73] + 7*t[74] + 12*t[75] + (136*t[76])/3 + 
       (35*t[77])/3 - (227*t[78])/3 + (208*t[80])/3 + (37*t[81])/2 - 
       t[82]/6 + (16*t[83])/3 + (53*t[84])/24 - (205*t[85])/24 + 6*t[86] - 
       (3659*t[87])/24 - (697*t[88])/16 - (1777*t[89])/48 - 2*t[95] + 
       (38*t[96])/3 + 22*t[97] + 224*t[98] - 300*t[99] - 36*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      ((17*t[1])/12 - (23*t[2])/24 + (25*t[3])/24 + (1207*t[4])/96 - 
       (67*t[5])/32 - (295*t[6])/96 - (5*t[7])/4 - (13*t[8])/2 + 
       (167*t[9])/32 - (1327*t[10])/192 + (1571*t[11])/96 - 
       (1057*t[12])/192 + (3109*t[13])/288 + (4603*t[14])/1152 - 
       (427*t[15])/144 + (7*t[25])/6 - (23*t[26])/6 - (7*t[27])/6 + t[28] + 
       t[30] + (2*t[31])/3 + (7*t[34])/12 - t[35] - (3*t[36])/4 - 
       (5*t[37])/12 + (13*t[38])/6 + (17*t[39])/12 + t[40]/6 - (7*t[41])/24 + 
       (7*t[42])/24 + t[43]/2 - t[44]/2 + t[45]/12 - t[46]/3 - t[47]/6 - 
       (57*t[48])/32 - (83*t[49])/64 - (105*t[50])/32 + (677*t[51])/384 + 
       (17*t[52])/32 - (45*t[53])/64 - (79*t[54])/16 - (5*t[58])/12 - 
       (5*t[59])/6 + (2345*t[60])/96 + (1867*t[61])/96 - (2335*t[62])/192 - 
       (1369*t[63])/192 - (1285*t[64])/192 - (4463*t[65])/288 - 
       (12445*t[66])/288 + t[70]/6 - t[71]/6 - t[72]/3 - t[73] + 
       (5*t[74])/4 + 2*t[75] + (7*t[76])/6 + (13*t[77])/12 - (13*t[78])/12 - 
       2*t[79] + (23*t[80])/3 + (31*t[81])/8 - (71*t[82])/24 + (2*t[83])/3 + 
       (613*t[84])/96 + (319*t[85])/96 + (3*t[86])/2 - (1327*t[87])/96 - 
       (373*t[88])/64 - (1037*t[89])/192 - t[95]/2 - t[96]/6 + t[97]/2 + 
       4*t[98] + 3*t[99] - 36*t[100]) + HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w]*((439*t[1])/36 + (629*t[2])/72 - (581*t[3])/18 - 
       (3019*t[4])/288 - (4003*t[5])/144 + (719*t[6])/12 + (83*t[7])/36 + 
       (1739*t[8])/18 + (1651*t[9])/144 + (27191*t[10])/576 - 
       (175*t[11])/36 + (907*t[12])/576 - (47035*t[13])/2592 + 
       (167593*t[14])/3456 + (11549*t[15])/1728 + 2*t[19] + 2*t[20] + 
       2*t[21] - 2*t[23] - t[25] - (5*t[26])/18 - (5*t[27])/9 + 
       (37*t[28])/6 + t[30]/6 - (65*t[31])/18 - (28*t[34])/9 - (37*t[35])/3 + 
       (11*t[36])/6 - (149*t[37])/18 + (77*t[38])/18 + (8*t[39])/3 - 
       (68*t[40])/9 + (32*t[41])/9 - (32*t[42])/9 + t[43]/12 - (49*t[44])/6 + 
       t[45]/18 - (3*t[46])/2 - t[47]/9 + (85*t[48])/3 + (1753*t[49])/576 + 
       (155*t[50])/18 - (10393*t[51])/1152 + (187*t[52])/18 + 
       (2407*t[53])/576 + (731*t[54])/96 + (17*t[58])/9 + (13*t[59])/36 - 
       (16343*t[60])/288 + (21455*t[61])/288 + (6077*t[62])/576 - 
       (8141*t[63])/576 - (4463*t[64])/192 + (4939*t[65])/96 - 
       (10211*t[66])/864 + (19*t[69])/3 - (68*t[70])/9 + (68*t[71])/9 + 
       (32*t[72])/3 + (26*t[73])/3 - 8*t[74] - (26*t[75])/3 - (166*t[76])/9 + 
       (52*t[77])/9 + (77*t[78])/18 + (74*t[79])/3 - (22*t[80])/3 + 
       (35*t[81])/18 - (49*t[82])/9 + (5*t[83])/18 + (439*t[84])/32 - 
       (9401*t[85])/288 - (43*t[86])/3 + (22489*t[87])/288 + 
       (2033*t[88])/64 + (4793*t[89])/192 + (7*t[95])/3 + (17*t[96])/9 - 
       (29*t[97])/6 - (406*t[98])/3 + 136*t[99] - 36*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-31*t[1])/9 - (673*t[2])/144 - (235*t[3])/36 + (6617*t[4])/576 - 
       (157*t[5])/32 - (1849*t[6])/288 - (71*t[7])/48 - (43*t[8])/16 - 
       (101*t[9])/96 + (12817*t[10])/1152 + (1733*t[11])/72 - 
       (8231*t[12])/1152 + (40897*t[13])/1728 + (224009*t[14])/6912 - 
       (587*t[15])/128 + (38*t[25])/9 - (22*t[26])/9 - (37*t[27])/18 - 
       (31*t[28])/12 - 2*t[29] - (19*t[30])/12 - (13*t[31])/36 - 2*t[32] + 
       2*t[33] + (11*t[34])/18 + (43*t[35])/6 - (65*t[36])/12 - 
       (155*t[37])/36 - (41*t[38])/18 - (17*t[39])/18 + (119*t[40])/36 - 
       (11*t[41])/36 + (11*t[42])/36 - (19*t[43])/24 + (31*t[44])/12 - 
       (17*t[45])/9 + (355*t[46])/72 + (16*t[47])/9 - (59*t[48])/96 - 
       (1005*t[49])/128 - (491*t[50])/96 - (25709*t[51])/2304 + 
       (43*t[52])/96 - (739*t[53])/128 - (2567*t[54])/192 - (7*t[58])/18 - 
       (119*t[59])/72 + (18475*t[60])/576 + (37259*t[61])/576 - 
       (87515*t[62])/1152 - (38525*t[63])/1152 + (11287*t[64])/1152 + 
       (19511*t[65])/1728 - (118595*t[66])/1728 - (19*t[69])/3 + 
       (91*t[70])/18 - (91*t[71])/18 + (5*t[72])/9 + (17*t[73])/12 + 
       (19*t[74])/4 - (97*t[75])/12 + (151*t[76])/18 + (16*t[77])/9 - 
       t[78]/36 - (73*t[79])/12 - (41*t[80])/18 + (113*t[81])/24 - 
       (683*t[82])/72 + (809*t[83])/36 + (8639*t[84])/576 + 
       (5795*t[85])/576 + (403*t[86])/12 + (8065*t[87])/576 + 
       (6155*t[88])/384 + (8093*t[89])/1152 - 4*t[95] - (23*t[96])/9 + 
       (17*t[97])/12 + (73*t[98])/3 - 31*t[99] - (69*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((139*t[1])/12 - (7*t[3])/2 - (487*t[4])/24 - (133*t[5])/8 - 
       (33*t[6])/8 + 5*t[7] - 6*t[8] + (97*t[9])/8 + (1733*t[10])/96 - 
       (65*t[11])/16 - (2627*t[12])/96 - (2369*t[13])/144 + (1533*t[14])/64 - 
       (1883*t[15])/288 - (139*t[26])/12 - 2*t[27] + 2*t[29] + (5*t[36])/3 + 
       (139*t[38])/12 - t[46]/12 - (29*t[48])/8 + (217*t[49])/32 + 
       (11*t[50])/8 - (27*t[51])/64 - (11*t[52])/8 - (307*t[53])/96 + 
       (63*t[54])/8 - (139*t[59])/24 - (1099*t[60])/48 + (1367*t[61])/48 - 
       (5207*t[62])/96 + (4603*t[63])/96 + (2513*t[64])/96 - (685*t[65])/36 - 
       (515*t[66])/9 - (19*t[69])/3 + t[72] + (2*t[73])/3 - (7*t[74])/3 - 
       3*t[76] - (14*t[79])/3 + (19*t[81])/6 - (55*t[82])/6 - (11*t[83])/2 - 
       (55*t[84])/4 - 11*t[85] + 28*t[86] + (179*t[87])/24 + (37*t[88])/48 - 
       (1043*t[89])/32 + (14*t[95])/3 - (67*t[100])/2) + 
     HPL[{0, 1}, 1 - v]*M1[v, u, w]*((-11*t[1])/12 - (2*t[2])/3 + 
       (13*t[3])/6 + (16*t[4])/3 + (43*t[5])/24 - (25*t[6])/8 - 
       (25*t[7])/12 - (107*t[8])/12 + (77*t[9])/24 - (83*t[10])/6 + 
       (79*t[11])/24 + (41*t[12])/24 + (769*t[13])/108 - (355*t[14])/36 + 
       (17*t[15])/144 + t[19] + t[20] + t[21] - t[22] - t[23] - t[26]/3 - 
       (2*t[27])/3 + t[30] + (5*t[31])/3 + t[34]/6 + (5*t[37])/3 - t[38]/6 + 
       t[39]/2 + (5*t[40])/6 + (5*t[41])/12 - (5*t[42])/12 + t[43]/2 - 
       t[45]/3 - t[46] + (2*t[47])/3 - (17*t[48])/8 + (31*t[49])/12 - 
       (7*t[50])/24 + (13*t[51])/12 - (5*t[52])/24 - (23*t[53])/12 - 
       (19*t[54])/8 - t[58]/3 + t[59]/3 + (53*t[60])/3 - (8*t[61])/3 + 
       (325*t[62])/24 + (131*t[63])/24 - (3*t[64])/2 - (23*t[65])/12 + 
       (49*t[66])/18 - t[69] + t[70]/3 - t[71]/3 - 2*t[72] + (19*t[76])/6 - 
       (2*t[77])/3 + (7*t[78])/3 + 3*t[80] + (29*t[81])/6 + (7*t[82])/6 - 
       (5*t[83])/3 + (9*t[84])/4 + (65*t[85])/12 - 2*t[86] - (121*t[87])/12 - 
       (67*t[88])/8 + (3*t[89])/2 - t[96]/3 + 20*t[98] - 12*t[99] - 
       33*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((11*t[1])/2 + (11*t[2])/12 - (97*t[3])/12 - 
       (249*t[4])/32 - (109*t[5])/6 + (181*t[6])/16 + (29*t[7])/4 + 
       (115*t[8])/6 + (317*t[9])/24 + (2515*t[10])/192 - (157*t[11])/16 - 
       (655*t[12])/64 - (213*t[13])/32 + (1809*t[14])/128 + 
       (2057*t[15])/1728 + 2*t[19] - 2*t[20] - 2*t[21] + t[22] + 2*t[23] - 
       (8*t[25])/3 - t[26]/2 - (4*t[27])/3 + t[28]/3 + t[29] + (11*t[30])/6 + 
       (7*t[31])/6 + t[32] - t[33] - (2*t[34])/3 - (2*t[35])/3 + 
       (11*t[36])/6 - (11*t[37])/3 + (11*t[38])/3 + t[39] - (7*t[40])/3 - 
       t[41]/6 + t[42]/6 - t[43]/12 - (2*t[44])/3 + (2*t[45])/3 - 
       (29*t[46])/12 + (2*t[47])/3 + (41*t[48])/16 + (583*t[49])/64 + 
       (163*t[50])/48 - (769*t[51])/384 + (61*t[52])/48 - (317*t[53])/192 + 
       (333*t[54])/32 - t[58]/6 - (7*t[59])/6 - (1591*t[60])/96 + 
       (2095*t[61])/96 + (497*t[62])/192 + (6095*t[63])/192 - 
       (509*t[64])/192 - (605*t[65])/288 - (395*t[66])/32 + t[69]/3 - 
       (7*t[70])/3 + (7*t[71])/3 + t[72] - t[73]/2 - (13*t[74])/6 + t[75]/2 - 
       (5*t[76])/6 - (4*t[77])/3 + (15*t[78])/2 + (4*t[79])/3 - 
       (16*t[80])/3 + (11*t[81])/6 - (11*t[82])/6 - t[83]/6 - 
       (169*t[84])/96 - (123*t[85])/32 - t[86]/3 + (781*t[87])/96 - 
       (1075*t[88])/192 - (1589*t[89])/192 + (8*t[95])/3 + 3*t[96] - 
       (4*t[97])/3 + 4*t[98] + 4*t[99] - 33*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((11*t[1])/4 + (3*t[2])/8 - (95*t[3])/24 + (11*t[4])/48 - 
       (317*t[5])/48 + (145*t[6])/32 + (7*t[7])/3 + (15*t[8])/2 + 
       (97*t[9])/16 - (55*t[10])/32 + (229*t[11])/32 - (415*t[12])/96 + 
       (239*t[13])/144 + (515*t[14])/64 + (19*t[15])/72 + t[19] - t[20] - 
       t[21] + t[22]/2 + t[23] - (5*t[25])/6 - (5*t[26])/3 - t[27]/2 + 
       t[29]/2 + t[30] + t[36]/2 - t[37]/3 + (5*t[38])/2 - t[40]/4 - 
       t[41]/4 + t[42]/4 - t[44]/2 + t[45]/2 - t[46]/4 - t[47]/2 + 
       (53*t[48])/32 + (131*t[49])/96 + (95*t[50])/96 - (9*t[51])/64 + 
       (49*t[52])/96 - (5*t[53])/32 + (385*t[54])/96 - t[58]/4 - 
       (25*t[59])/24 + (4*t[60])/3 + (265*t[61])/16 - (35*t[62])/16 + 
       (203*t[63])/16 - (85*t[64])/96 - (211*t[65])/24 - (311*t[66])/12 + 
       t[69]/3 - (7*t[70])/6 + (7*t[71])/6 + t[72] - (5*t[73])/12 - 
       (2*t[74])/3 - (11*t[75])/12 + t[76]/4 - t[77] + (7*t[78])/4 - 
       t[79]/6 - 4*t[80] + (71*t[81])/24 - (41*t[82])/24 + (11*t[83])/6 + 
       (53*t[84])/24 - (25*t[85])/48 - (3*t[86])/2 - (7*t[87])/8 - 
       (83*t[88])/16 - (365*t[89])/48 + t[95] + t[96] - (3*t[97])/4 + 
       6*t[99] - 33*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - v]*((10*t[1])/3 - t[3]/3 - (7*t[4])/12 + 
       (199*t[5])/48 - 4*t[6] + (19*t[7])/4 + (65*t[8])/12 - (61*t[9])/16 - 
       (77*t[10])/4 + (419*t[11])/24 - (799*t[12])/48 + (971*t[13])/36 + 
       t[14]/9 - (17*t[15])/288 - (3*t[16])/4 + (8*t[25])/3 - (9*t[26])/2 - 
       2*t[31] + (3*t[36])/2 - 2*t[37] + (7*t[38])/3 + (69*t[46])/4 + t[48] - 
       (64*t[49])/3 + (7*t[50])/3 - (587*t[51])/48 - (7*t[52])/3 + 
       (47*t[53])/6 - (23*t[54])/6 - (13*t[59])/3 + 18*t[60] + (31*t[61])/6 - 
       (171*t[62])/8 - (89*t[63])/3 + (1405*t[64])/24 - (115*t[65])/12 - 
       (499*t[66])/12 - t[67]/4 - 11*t[69] + 4*t[70] - 4*t[71] + 4*t[72] - 
       5*t[73] + (11*t[74])/2 - 11*t[75] + 7*t[79] - 2*t[81] + 2*t[82] + 
       (67*t[83])/3 + (23*t[84])/6 - (11*t[85])/6 + (53*t[86])/3 + 
       (89*t[87])/4 + (101*t[88])/8 + (141*t[89])/8 - (65*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((7*t[1])/18 - (461*t[2])/144 + (25*t[3])/9 + (20149*t[4])/576 + 
       (47*t[5])/4 - (2705*t[6])/288 - (71*t[7])/48 - (55*t[8])/48 - 
       (299*t[9])/48 + (35057*t[10])/1152 + (515*t[11])/48 - 
       (24499*t[12])/1152 - (1723*t[13])/1728 + (51569*t[14])/6912 - 
       (11215*t[15])/3456 - t[16]/2 - (47*t[25])/36 + (3*t[26])/2 + 
       (14*t[27])/9 - t[28]/4 + t[29]/2 + (5*t[30])/6 - t[31]/18 + t[32]/2 - 
       t[33]/2 - (10*t[34])/9 - (3*t[35])/2 + (161*t[36])/36 + (11*t[37])/9 + 
       (5*t[38])/36 - t[39]/18 + (11*t[40])/18 + (5*t[41])/9 - (5*t[42])/9 + 
       (5*t[43])/12 - t[44]/4 + (13*t[45])/18 + (89*t[46])/72 - 
       (17*t[47])/18 - (143*t[48])/96 + (2459*t[49])/128 - (767*t[50])/96 - 
       (48781*t[51])/2304 + (511*t[52])/96 - (2451*t[53])/128 - 
       (11837*t[54])/576 - (4*t[58])/9 + (85*t[59])/72 + (22331*t[60])/576 + 
       (22835*t[61])/576 + (6847*t[62])/384 + (5249*t[63])/384 - 
       (96005*t[64])/1152 - (23021*t[65])/1728 + (29497*t[66])/1728 - 
       (11*t[69])/2 - (5*t[70])/9 + (5*t[71])/9 + (4*t[72])/9 + 
       (7*t[73])/12 + (55*t[74])/36 - (145*t[75])/12 + (421*t[76])/36 + 
       (2*t[77])/9 - (301*t[78])/18 + (45*t[79])/4 + (31*t[80])/9 + 
       (235*t[81])/36 + (49*t[82])/12 - (191*t[83])/36 + (929*t[84])/192 + 
       (2689*t[85])/192 - (259*t[86])/12 - (11123*t[87])/576 - 
       (14627*t[88])/1152 + (28349*t[89])/1152 - (2*t[95])/9 + (47*t[96])/9 + 
       3*t[97] + (188*t[98])/3 - 64*t[99] - (65*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      ((-5*t[1])/12 - (29*t[2])/12 - (8*t[3])/3 - (29*t[4])/12 - 3*t[5] - 
       (299*t[6])/24 - 3*t[7] - 13*t[8] + 4*t[9] - (14*t[10])/3 + 
       (145*t[11])/24 + (25*t[12])/12 + (133*t[13])/18 + (49*t[14])/144 + 
       (17*t[15])/6 - (2*t[25])/3 - t[26]/6 + (2*t[27])/3 + t[28] - t[29] + 
       t[31]/3 - t[32] + t[33] + t[34]/6 + (5*t[37])/3 + t[38]/3 - 
       (2*t[39])/3 + (4*t[40])/3 - t[41]/12 + t[42]/12 - t[45]/3 + 
       (11*t[46])/6 - t[47]/3 - (27*t[48])/8 + t[49]/4 - (47*t[50])/8 + 
       (83*t[51])/48 + (19*t[52])/8 + (13*t[53])/4 + (53*t[54])/8 - 
       (5*t[58])/6 + (7*t[59])/12 + (29*t[60])/12 + (16*t[61])/3 + 
       (41*t[62])/24 - (109*t[63])/24 - (59*t[64])/3 - (317*t[65])/36 - 
       (1333*t[66])/36 - t[69] - (2*t[70])/3 + (2*t[71])/3 + (7*t[72])/3 + 
       t[74] + t[75] + (59*t[76])/6 + (2*t[77])/3 - (26*t[78])/3 - 4*t[79] + 
       (16*t[80])/3 + (11*t[81])/2 - (25*t[82])/6 + (17*t[83])/6 - 
       (20*t[84])/3 + (4*t[85])/3 - 6*t[86] - (52*t[87])/3 - 12*t[88] - 
       (119*t[89])/24 + 2*t[95] + (8*t[96])/3 + (3*t[97])/2 + 56*t[98] - 
       52*t[99] - (65*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      Omega2[v, w, u]*((4*t[1])/3 - (19*t[2])/6 + (5*t[3])/12 + 
       (13*t[4])/12 + (247*t[5])/24 - (11*t[6])/4 + (11*t[7])/12 + 
       (109*t[8])/12 - (97*t[9])/24 + (77*t[10])/12 + (29*t[11])/12 - 
       (43*t[12])/24 - (373*t[13])/216 + (1799*t[14])/144 - (241*t[15])/144 - 
       t[26]/3 - (2*t[27])/3 - t[28] + t[29] - t[31]/3 + t[32] - t[33] - 
       (4*t[34])/3 + 4*t[36] - t[37]/3 + (5*t[38])/6 + t[39]/2 + t[40]/3 + 
       (2*t[41])/3 - (2*t[42])/3 - t[45]/3 - (7*t[46])/2 + (5*t[47])/3 + 
       (5*t[48])/4 + (127*t[49])/12 - (83*t[50])/12 - (143*t[51])/48 + 
       (59*t[52])/12 - (53*t[53])/12 + 2*t[54] - t[58]/3 + (5*t[59])/6 - 
       (35*t[60])/6 + (427*t[61])/12 - (83*t[62])/6 + (88*t[63])/3 - 
       (233*t[64])/8 - (62*t[65])/3 - (196*t[66])/9 - (2*t[70])/3 + 
       (2*t[71])/3 - 3*t[74] - 3*t[75] + (29*t[76])/3 + t[77]/3 - 
       (41*t[78])/3 + 4*t[79] + 7*t[80] - (2*t[81])/3 + (11*t[82])/3 - 
       (5*t[83])/3 - (49*t[84])/4 - (103*t[85])/12 - 8*t[86] - 
       (85*t[87])/12 - (55*t[88])/8 - (67*t[89])/4 + 2*t[95] + (17*t[96])/3 + 
       3*t[97] + 56*t[98] - 52*t[99] - (65*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-41*t[1])/24 + (27*t[2])/8 + (17*t[3])/12 - (3355*t[4])/192 - 
       (119*t[5])/16 + (261*t[6])/32 + (61*t[7])/12 - (25*t[8])/8 + 
       (37*t[9])/3 - (4279*t[10])/128 - (655*t[11])/96 + (5971*t[12])/384 - 
       (10771*t[13])/1728 - (36743*t[14])/2304 + (3917*t[15])/3456 + t[19] + 
       t[20] + t[21] - t[22] - t[23] + t[25]/6 + (7*t[26])/12 - t[27]/2 - 
       (5*t[28])/6 + (41*t[30])/12 + (35*t[31])/12 + (3*t[34])/4 + 
       (5*t[35])/3 - t[36]/12 + (3*t[37])/2 - (5*t[38])/4 - t[39]/2 - 
       t[40]/4 + t[41]/8 - t[42]/8 + (41*t[43])/24 + (5*t[44])/3 - t[45]/3 + 
       (43*t[46])/24 + (2*t[47])/3 - (31*t[48])/32 - (4787*t[49])/384 + 
       (395*t[50])/96 + (4831*t[51])/768 - (33*t[52])/32 + (4043*t[53])/384 + 
       (669*t[54])/64 + t[58]/4 - t[59]/6 - (245*t[60])/64 + (69*t[61])/64 + 
       (8977*t[62])/384 + (2053*t[63])/128 - (21437*t[64])/384 - 
       (845*t[65])/576 + (397*t[66])/576 - (4*t[69])/3 + t[70]/2 - t[71]/2 - 
       (5*t[72])/2 + (7*t[73])/4 + (23*t[74])/12 - (19*t[75])/4 - 
       (79*t[76])/12 - (5*t[77])/2 + (83*t[78])/12 - (19*t[79])/3 - 
       (5*t[80])/3 + (7*t[81])/12 + (11*t[82])/12 + (4*t[83])/3 - 
       (217*t[84])/192 - (65*t[85])/192 - (7*t[86])/6 + (893*t[87])/192 + 
       (221*t[88])/384 - (1757*t[89])/384 - (2*t[95])/3 - (25*t[96])/6 - 
       (8*t[97])/3 - 48*t[98] + 70*t[99] - (65*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[v, w, u]*((-128*t[1])/3 - 40*t[4] - 
       (4*t[5])/3 + (8*t[7])/3 + (8*t[8])/3 + (4*t[9])/3 + (4*t[10])/3 - 
       (104*t[11])/3 + 72*t[12] - (104*t[13])/3 - (110*t[14])/3 + 
       (226*t[15])/9 + (128*t[26])/3 + (32*t[36])/3 - (128*t[38])/3 - 
       (8*t[46])/3 - (4*t[49])/3 + 2*t[51] + 4*t[53] + (56*t[54])/3 + 
       (64*t[59])/3 - (424*t[60])/3 + 40*t[61] + 12*t[62] + 60*t[63] + 
       (92*t[64])/3 + (200*t[65])/3 + (1256*t[66])/9 + (64*t[69])/3 - 
       (32*t[73])/3 - 32*t[75] + (32*t[79])/3 + (256*t[83])/3 - 
       (56*t[84])/3 - (56*t[85])/3 + (32*t[86])/3 + (8*t[87])/3 + 
       (4*t[88])/3 + (52*t[89])/3 - 32*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*((34*t[1])/3 + (229*t[4])/6 + 
       (11*t[5])/24 + t[6]/2 + t[7]/12 + t[8]/12 - (11*t[9])/24 + 
       (505*t[10])/12 + (41*t[11])/12 - (1483*t[12])/24 - (53*t[13])/18 + 
       (737*t[14])/16 - (249*t[15])/16 - (34*t[26])/3 + (17*t[36])/3 + 
       (34*t[38])/3 + t[46] + t[48]/2 + (71*t[49])/6 + t[50]/2 - 
       (425*t[51])/16 - t[52]/2 - (125*t[53])/6 - (371*t[54])/12 - 
       (17*t[59])/3 + (197*t[60])/3 + (407*t[61])/6 - (493*t[62])/24 + 
       (461*t[63])/24 - (401*t[64])/4 - (107*t[65])/36 - (41*t[66])/4 - 
       14*t[69] - 7*t[73] + (4*t[74])/3 - 3*t[75] + 7*t[79] - (2*t[81])/3 + 
       (2*t[82])/3 - (25*t[83])/3 + (365*t[84])/12 + (353*t[85])/12 + 
       t[86]/3 + 8*t[87] + (7*t[88])/3 + (62*t[89])/3 - (8*t[95])/3 - 
       32*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-35*t[1])/24 - 2*t[2] - (79*t[3])/24 + 
       (103*t[4])/48 - (169*t[5])/48 - (9*t[6])/4 + (11*t[7])/2 + 
       (41*t[8])/6 + (79*t[9])/16 + (517*t[10])/32 + (175*t[11])/24 + 
       (413*t[12])/96 - (50*t[13])/3 + (10895*t[14])/576 - (137*t[15])/144 - 
       t[19] - t[20] - t[21] + t[22] + t[23] - (2*t[25])/3 + (7*t[26])/2 + 
       t[27] - t[29]/2 + t[30]/2 + t[31] + (3*t[32])/2 - (3*t[33])/2 - 
       (5*t[34])/4 + t[36]/2 + (5*t[37])/2 - (25*t[38])/12 + (7*t[39])/2 - 
       (5*t[40])/4 + t[41]/8 - t[42]/8 - t[43]/4 - t[44] + (5*t[45])/2 - 
       (5*t[46])/2 - 3*t[47] + (3*t[48])/8 + (1037*t[49])/96 - 
       (35*t[50])/24 - (751*t[51])/192 + (29*t[52])/24 - (53*t[53])/96 - 
       (251*t[54])/48 + (13*t[59])/6 - (293*t[60])/16 + (2029*t[61])/48 - 
       (619*t[62])/32 + (2569*t[63])/96 - (2695*t[64])/96 - (523*t[65])/48 - 
       (175*t[66])/16 + 2*t[69] - t[70] + t[71] + t[73] - (3*t[74])/2 + 
       3*t[75] + 6*t[76] + t[77]/2 - 12*t[78] - t[79] - 9*t[80] + 
       (9*t[81])/4 - t[82]/4 + (13*t[83])/6 - (397*t[84])/48 - 
       (263*t[85])/48 - (20*t[86])/3 - (115*t[87])/16 - (195*t[88])/32 - 
       (427*t[89])/32 + t[95] + 5*t[96] + 2*t[97] + 30*t[98] - 24*t[99] - 
       32*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*(t[1]/6 - (17*t[2])/12 - (8*t[3])/3 + 
       (131*t[4])/48 - (379*t[5])/48 - (515*t[6])/96 - (7*t[7])/8 - 
       (51*t[8])/8 + (217*t[9])/48 - (285*t[10])/32 + (1333*t[11])/96 - 
       (917*t[12])/96 + (69*t[13])/8 + (2143*t[14])/192 - (65*t[15])/24 + 
       (5*t[25])/6 - (9*t[26])/4 - (5*t[27])/6 - t[28] - t[29] + t[31]/3 - 
       t[32] + t[33] + (2*t[34])/3 + (7*t[35])/2 - (7*t[36])/6 - 
       (7*t[37])/6 + (11*t[38])/12 - (2*t[39])/3 + (11*t[40])/6 - t[41]/3 + 
       t[42]/3 + t[44] - (4*t[45])/3 + (55*t[46])/12 + (5*t[47])/3 - 
       (69*t[48])/32 - (547*t[49])/96 - (37*t[50])/32 - (749*t[51])/192 - 
       (27*t[52])/32 + (29*t[53])/32 - (437*t[54])/96 - t[58]/3 - 
       (17*t[59])/12 + (235*t[60])/12 + (1045*t[61])/48 - (263*t[62])/8 - 
       (377*t[63])/24 + (315*t[64])/32 - (163*t[65])/24 - (2705*t[66])/72 - 
       (14*t[69])/3 + (13*t[70])/6 - (13*t[71])/6 + (5*t[72])/6 - 
       (23*t[73])/12 + (3*t[74])/2 - (41*t[75])/12 + (4*t[76])/3 + t[77]/6 + 
       (5*t[78])/6 - (14*t[79])/3 + (4*t[80])/3 + (19*t[81])/8 - 
       (121*t[82])/24 + (38*t[83])/3 + (151*t[84])/24 + (329*t[85])/48 + 
       20*t[86] - (71*t[87])/24 + (77*t[88])/48 + (37*t[89])/48 - 
       (7*t[95])/3 - (4*t[96])/3 + 8*t[98] - 8*t[99] - 30*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-49*t[1])/18 - (217*t[2])/144 + (23*t[3])/36 - (869*t[4])/64 + 
       (67*t[5])/12 - (547*t[6])/48 + (121*t[7])/144 - (53*t[8])/16 - 
       (191*t[9])/72 - (7387*t[10])/1152 - (65*t[11])/48 + (189*t[12])/128 - 
       (30409*t[13])/5184 + (16373*t[14])/2304 + (10537*t[15])/3456 - 
       (5*t[25])/9 + (67*t[26])/36 - (5*t[27])/18 - (17*t[28])/12 - 
       (5*t[30])/12 + (25*t[31])/36 - (5*t[34])/9 + (17*t[35])/6 + 
       (8*t[36])/3 - (47*t[37])/36 - (47*t[38])/36 + (5*t[39])/6 + 
       (35*t[40])/36 + (5*t[41])/18 - (5*t[42])/18 - (5*t[43])/24 + 
       (17*t[44])/12 + (5*t[45])/18 + (91*t[46])/24 - (5*t[47])/9 - 
       (31*t[48])/16 + (1841*t[49])/384 - (575*t[50])/144 - 
       (9479*t[51])/2304 + (215*t[52])/144 - (451*t[53])/1152 + 
       (5119*t[54])/576 - (5*t[58])/9 + (47*t[59])/36 - (11621*t[60])/576 + 
       (3199*t[61])/192 - (15925*t[62])/1152 + (33413*t[63])/1152 + 
       (19025*t[64])/1152 - (10421*t[65])/576 - (21305*t[66])/1728 - 
       (3*t[69])/2 + (14*t[70])/9 - (14*t[71])/9 - (5*t[72])/3 - 
       (35*t[73])/12 - (5*t[74])/6 + (19*t[75])/12 + (253*t[76])/36 - 
       (31*t[77])/36 - (155*t[78])/18 - (21*t[79])/4 + (35*t[80])/6 + 
       (17*t[81])/36 + (23*t[82])/18 + (103*t[83])/36 - (8395*t[84])/576 - 
       (4291*t[85])/576 + (115*t[86])/36 - (5393*t[87])/576 - 
       (1257*t[88])/128 - (5797*t[89])/384 + (11*t[95])/3 + (40*t[96])/9 + 
       (25*t[97])/12 + (139*t[98])/3 - 43*t[99] - (89*t[100])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((11*t[1])/72 - (35*t[2])/18 - (913*t[3])/144 + (1205*t[4])/192 + 
       (83*t[5])/24 - (279*t[6])/32 - (455*t[7])/144 - (181*t[8])/48 + 
       (1025*t[9])/144 + (23957*t[10])/1152 - (437*t[11])/32 - 
       (5905*t[12])/384 + (14861*t[13])/5184 + (27433*t[14])/2304 + 
       (8363*t[15])/1152 + (11*t[25])/18 - (55*t[26])/18 - (5*t[27])/18 + 
       2*t[28] - t[29] + (19*t[30])/12 + t[31]/36 - t[32] + t[33] + 
       (4*t[34])/9 + 4*t[36] + (127*t[37])/36 + (29*t[38])/18 + 
       (47*t[40])/36 - (2*t[41])/9 + (2*t[42])/9 + (5*t[43])/12 - t[44] + 
       (139*t[45])/36 - (95*t[46])/24 - (157*t[47])/18 + (77*t[48])/96 + 
       (1961*t[49])/384 - (1609*t[50])/288 + (10477*t[51])/2304 + 
       (649*t[52])/288 - (2803*t[53])/1152 + (2533*t[54])/576 - 
       (13*t[58])/18 - (35*t[59])/72 + (17899*t[60])/576 + (2537*t[61])/64 - 
       (14077*t[62])/1152 + (31373*t[63])/1152 - (81091*t[64])/1152 - 
       (2165*t[65])/576 - (43133*t[66])/1728 + (5*t[68])/8 + t[69]/2 + 
       (19*t[70])/18 - (19*t[71])/18 + (23*t[72])/6 - (41*t[73])/6 - 
       4*t[74] + (61*t[75])/6 + (10*t[76])/9 + (77*t[77])/36 + 
       (571*t[78])/72 - 7*t[79] - (11*t[80])/4 + (53*t[81])/9 - 
       (133*t[82])/72 + (403*t[83])/36 + (2453*t[84])/576 - 
       (2623*t[85])/576 - (205*t[86])/18 - (11897*t[87])/576 - 
       (4499*t[88])/384 - (987*t[89])/128 + (3*t[90])/8 + t[93] + 
       (5*t[95])/6 + (10*t[96])/9 + t[97] - (14*t[98])/3 + 31*t[99] - 
       (175*t[100])/6) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-3*t[1])/8 + (5*t[2])/4 - (23*t[3])/8 - 
       (995*t[4])/144 - (239*t[5])/288 + (63*t[6])/16 - (31*t[7])/144 + 
       (1265*t[8])/144 + (779*t[9])/288 - (5243*t[10])/288 + (127*t[11])/72 + 
       (1421*t[12])/144 + (635*t[13])/216 - (5587*t[14])/864 + 
       (1039*t[15])/192 + t[19] + t[20] + t[21] - t[22] - t[23] + t[26]/2 - 
       t[27] + t[29]/2 + t[30] + t[31] - t[34]/4 + t[36]/12 + t[37]/2 - 
       t[38]/2 + (3*t[39])/4 - t[40]/4 + (5*t[41])/8 - (5*t[42])/8 - 
       t[44]/2 - t[45]/2 + t[47]/2 + (47*t[48])/16 + (433*t[49])/288 + 
       (15*t[50])/16 + (199*t[51])/48 + (13*t[52])/16 + (719*t[53])/288 + 
       (385*t[54])/48 + t[59]/2 - (287*t[60])/144 - (457*t[61])/48 + 
       (637*t[62])/36 + (64*t[63])/9 + (4481*t[64])/288 + (3019*t[65])/216 + 
       (1081*t[66])/216 + (5*t[69])/6 - t[70] + t[71] - 2*t[72] - 
       (7*t[73])/12 - t[74]/2 + (11*t[75])/12 + (3*t[76])/2 - t[77]/2 + 
       (31*t[78])/6 - (5*t[79])/12 + t[80] + (25*t[81])/6 - t[82]/6 - 
       (17*t[83])/9 - (11*t[84])/8 - (103*t[85])/24 - (31*t[86])/36 - 
       (2629*t[87])/144 - (4213*t[88])/288 + (185*t[89])/96 + t[95] + t[96] - 
       t[97]/2 + 6*t[99] - (173*t[100])/6) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*(2*t[1] - (3*t[2])/4 - 
       (25*t[3])/8 + (71*t[4])/12 - (11*t[5])/8 + (11*t[6])/8 + (5*t[7])/4 + 
       (5*t[8])/2 + (31*t[9])/8 - 2*t[10] + (187*t[11])/12 - (91*t[12])/24 + 
       (233*t[13])/48 + (193*t[14])/32 + (59*t[15])/72 + t[19] - t[20] - 
       t[21] + t[22]/2 + t[23] + t[25]/2 - (11*t[26])/4 - t[27]/2 + t[29]/2 - 
       t[30]/2 - t[31] - t[36]/6 + (9*t[38])/4 - t[41]/4 + t[42]/4 - 
       t[43]/4 - t[44]/2 + t[45]/2 - t[46]/2 - t[47]/2 + t[48]/4 + 
       (3*t[49])/4 + (3*t[50])/4 + (119*t[51])/96 - (3*t[52])/4 - t[53]/2 - 
       (29*t[54])/24 - t[58]/4 - (3*t[59])/4 + (97*t[60])/8 + 
       (451*t[61])/24 - (171*t[62])/16 - (29*t[63])/16 - (173*t[64])/48 - 
       (629*t[65])/72 - (275*t[66])/12 + t[69]/6 + 2*t[72] + t[73]/6 - 
       (3*t[75])/2 - t[76]/4 + 2*t[78] - t[79]/6 - (9*t[80])/2 + 
       (11*t[81])/4 - 2*t[82] + (5*t[83])/4 + (107*t[84])/24 - 
       (67*t[85])/24 - t[86]/2 - (13*t[87])/6 - (13*t[88])/12 - 
       (97*t[89])/16 - 6*t[98] + 6*t[99] - (57*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*(-3*t[1] - (9*t[2])/4 + 
       (95*t[3])/16 - (231*t[4])/16 + (111*t[5])/32 - (113*t[6])/16 - 
       (31*t[7])/16 - (21*t[8])/16 - (87*t[9])/32 - (237*t[10])/32 + 
       (73*t[11])/16 + (99*t[12])/16 - (197*t[13])/32 + (1595*t[14])/192 - 
       (1039*t[15])/64 + 2*t[25] - (3*t[26])/4 - 3*t[37] - (3*t[38])/2 + 
       2*t[39] + t[40]/2 + (57*t[46])/4 - (7*t[48])/2 - (305*t[49])/32 - 
       (7*t[50])/2 - (1765*t[51])/64 + t[52]/2 - (255*t[53])/32 - 
       (167*t[54])/16 - t[58]/2 - t[59] - (167*t[60])/8 + (199*t[61])/16 - 
       (1155*t[62])/32 + (1423*t[63])/32 + (591*t[64])/32 - (115*t[65])/4 - 
       (1985*t[66])/48 - (13*t[68])/8 - 14*t[72] + 9*t[73] + 3*t[74] - 
       47*t[75] + 9*t[76] + t[77] - (79*t[78])/8 + 7*t[79] + (15*t[80])/4 - 
       t[81] + (51*t[82])/8 + 33*t[83] - (79*t[84])/8 + (229*t[85])/16 + 
       9*t[86] + (439*t[87])/16 + (439*t[88])/32 - (161*t[89])/32 - 
       (3*t[90])/8 - 2*t[93] + (3*t[97])/2 + 72*t[98] - 72*t[99] - 
       28*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      (t[1] - (11*t[2])/4 - (59*t[3])/8 + (35*t[4])/16 + (43*t[5])/16 - 
       (275*t[6])/32 - (7*t[7])/4 + (85*t[8])/16 + (43*t[9])/16 + 
       (101*t[10])/32 + (47*t[11])/32 - (1089*t[12])/32 - (95*t[13])/12 + 
       (1327*t[14])/64 + (13*t[15])/12 - 2*t[19] + (13*t[27])/4 - 2*t[31] - 
       t[34] + 3*t[36] + 2*t[37] + (3*t[39])/2 - (3*t[40])/2 + t[41]/2 - 
       t[42]/2 + (5*t[46])/8 + (53*t[48])/32 + (237*t[49])/32 - 
       (227*t[50])/32 - (471*t[51])/64 + (163*t[52])/32 - (189*t[53])/32 - 
       (327*t[54])/32 + (5*t[59])/4 + (25*t[60])/2 + (631*t[61])/8 - 
       (99*t[62])/4 - (63*t[63])/8 - (335*t[64])/8 + (105*t[65])/16 + 
       (77*t[66])/48 + 2*t[72] + 9*t[73] - 47*t[75] + (55*t[76])/4 + 
       3*t[77] - (57*t[78])/4 - t[79] + 6*t[80] - (21*t[81])/8 - 
       (71*t[82])/8 + (43*t[83])/2 + (15*t[84])/16 + (55*t[85])/8 - 
       13*t[86] + (73*t[87])/8 + (73*t[88])/16 + (163*t[89])/16 + 
       (15*t[96])/4 + (5*t[97])/2 + 72*t[98] - 72*t[99] - 28*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-5*t[3] + (33*t[4])/2 - (49*t[5])/2 - (11*t[6])/2 + 8*t[7] - 18*t[8] + 
       (31*t[9])/2 + (91*t[10])/4 + (21*t[11])/2 - (59*t[12])/4 - 
       (14*t[13])/3 - (73*t[14])/24 - 3*t[15] - 4*t[27] + 4*t[29] - 
       (13*t[48])/2 + (57*t[49])/4 + (15*t[50])/2 - (51*t[51])/8 - 
       (15*t[52])/2 - (57*t[53])/4 - 22*t[54] + (11*t[60])/2 + (45*t[61])/2 - 
       (271*t[62])/4 - (65*t[63])/4 + (81*t[64])/4 - (49*t[65])/6 - 
       (25*t[66])/2 + 2*t[72] - 6*t[76] - 8*t[79] + 4*t[81] - 16*t[82] + 
       22*t[83] + (11*t[84])/2 + (11*t[85])/2 + 56*t[86] - (31*t[87])/2 - 
       (31*t[88])/4 + (25*t[89])/4 - 16*t[99] - 28*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (4*t[1] + 9*t[3] - t[4]/2 + 25*t[5] + 4*t[6] + 9*t[7] + 23*t[8] - 
       19*t[9] - (173*t[10])/4 + 27*t[11] + (35*t[12])/4 + (37*t[13])/3 - 
       (581*t[14])/24 + (23*t[15])/12 + 2*t[25] - 4*t[26] - 2*t[27] - 
       4*t[36] + 2*t[38] + 2*t[46] + 10*t[48] - (7*t[49])/4 - 4*t[50] + 
       (49*t[51])/8 + 4*t[52] - t[53]/4 - (3*t[54])/2 - 2*t[59] + 
       (29*t[60])/2 - (55*t[61])/2 - (25*t[62])/4 - (167*t[63])/4 + 
       (543*t[64])/4 - t[65]/2 + (45*t[66])/2 - 4*t[69] + 4*t[72] + 4*t[75] - 
       6*t[76] + 8*t[79] - 4*t[80] - 2*t[81] + 6*t[82] - 22*t[83] + 
       (21*t[84])/2 - t[85]/2 + 16*t[86] - (27*t[87])/2 - (27*t[88])/4 + 
       (43*t[89])/4 - 16*t[99] - 28*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-5*t[3])/2 + 
       (1459*t[4])/72 - (2285*t[5])/144 - (17*t[6])/8 + (19*t[7])/9 - 
       (185*t[8])/36 + (2015*t[9])/144 + (3265*t[10])/144 - (29*t[11])/36 - 
       (1765*t[12])/72 - (359*t[13])/54 + (9407*t[14])/432 - 
       (1241*t[15])/96 + t[25] - t[26] - t[27] + t[29] + (9*t[36])/2 - 
       (13*t[43])/8 - (13*t[45])/4 + (3*t[46])/2 + (13*t[47])/2 - 
       (9*t[48])/8 + (667*t[49])/144 - t[50]/8 - (44*t[51])/3 + t[52]/8 - 
       (1243*t[53])/144 - (149*t[54])/8 + (1033*t[60])/72 + (1543*t[61])/24 - 
       (173*t[62])/18 + (857*t[63])/36 - (11347*t[64])/144 + (647*t[65])/54 - 
       (85*t[66])/54 - (11*t[69])/3 + t[72]/2 - (15*t[73])/2 - (31*t[75])/6 - 
       (5*t[76])/2 - t[78] + (3*t[79])/2 + t[80] + (5*t[81])/2 - 
       (11*t[82])/2 + (385*t[83])/18 + (63*t[84])/4 + 18*t[85] + 
       (71*t[86])/18 + (1247*t[87])/72 + (1247*t[88])/144 + (737*t[89])/48 - 
       (83*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u]*((2*t[1])/3 - 2*t[2] - 6*t[3] + (1747*t[4])/144 - 
       (283*t[5])/144 + (55*t[6])/16 - (13*t[7])/9 + (37*t[8])/18 + 
       (391*t[9])/144 + (4021*t[10])/288 + (1703*t[11])/144 + 
       (691*t[12])/288 + (2215*t[13])/432 + (14383*t[14])/1728 + 
       (53*t[15])/12 + t[25]/2 - t[26]/6 - t[27]/2 + 2*t[28] + t[29]/2 + 
       2*t[31] - t[34] - 2*t[35] - t[36]/6 + t[38]/6 + (5*t[39])/2 - 
       2*t[40] + t[41]/2 - t[42]/2 + 2*t[45] + (3*t[46])/2 - 4*t[47] + 
       (37*t[48])/16 + (1819*t[49])/288 - (83*t[50])/16 - (109*t[51])/192 + 
       (67*t[52])/16 - (1171*t[53])/288 + (23*t[54])/12 + (2*t[59])/3 + 
       (2545*t[60])/144 + (361*t[61])/16 - (3457*t[62])/288 - 
       (5647*t[63])/288 - (6331*t[64])/288 - (14035*t[65])/432 - 
       (18445*t[66])/432 - (11*t[69])/6 + t[72]/4 - 2*t[73] + (8*t[74])/3 + 
       (8*t[75])/3 + (13*t[76])/4 + 3*t[77] - 3*t[78] + t[79] - (3*t[80])/2 + 
       (11*t[81])/12 - (53*t[82])/12 - (119*t[83])/36 - (239*t[84])/48 - 
       (353*t[85])/48 - (187*t[86])/9 - (3421*t[87])/144 - (3445*t[88])/288 - 
       (347*t[89])/96 - (4*t[95])/3 + 3*t[96] + 2*t[97] + 24*t[98] - 
       24*t[99] - (82*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - w]*(11*t[1] + 2*t[3] - (65*t[4])/4 - (7*t[5])/4 - 
       (45*t[6])/8 + (19*t[7])/4 + (27*t[8])/4 - t[9]/4 - (91*t[10])/8 + 
       (27*t[11])/8 - (243*t[12])/8 + (7*t[13])/6 + (571*t[14])/48 - 
       (23*t[15])/6 + 2*t[25] - 13*t[26] - 3*t[28] - 3*t[31] + 3*t[35] + 
       5*t[36] - 3*t[37] + 11*t[38] - 3*t[39] + 3*t[40] - 3*t[45] + 
       (15*t[46])/2 + 6*t[47] - (9*t[48])/8 + (27*t[49])/8 - t[50]/8 - 
       (143*t[51])/16 + t[52]/8 - (63*t[53])/8 + (93*t[54])/8 - 
       (17*t[59])/2 - (23*t[60])/2 + (9*t[61])/4 - (61*t[62])/2 + 
       (49*t[63])/2 + (499*t[64])/8 - (97*t[65])/6 - (71*t[66])/2 - 
       12*t[69] + 3*t[70] - 3*t[71] - 3*t[73] - 2*t[74] - 6*t[75] - 3*t[77] - 
       3*t[78] + 3*t[79] + 6*t[80] - t[81]/2 + t[82]/2 + (9*t[83])/2 - 
       (27*t[84])/2 - (41*t[85])/4 + 33*t[86] + (9*t[87])/2 + t[88]/4 - 
       (35*t[89])/2 + 4*t[95] - 27*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((-22*t[1])/3 - (15*t[2])/4 + 
       (439*t[3])/24 + (373*t[4])/48 + (317*t[5])/96 + (115*t[6])/48 - 
       30*t[7] - (1423*t[8])/24 - (227*t[9])/96 - (1721*t[10])/96 - 
       (29*t[11])/12 + (103*t[12])/48 + (6053*t[13])/432 - (5801*t[14])/576 - 
       (23545*t[15])/1728 + (7*t[17])/3 + (5*t[19])/3 + 11*t[20] + t[21] - 
       15*t[22] - t[23] + (10*t[24])/3 + (4*t[25])/3 + (13*t[26])/3 - 
       (20*t[27])/3 + 2*t[28] + (115*t[29])/12 + (17*t[30])/3 + (7*t[31])/3 - 
       (73*t[32])/6 + 7*t[33] + (17*t[34])/3 + 6*t[35] - 5*t[36] + t[37]/3 - 
       (20*t[38])/3 - (7*t[39])/6 + (53*t[40])/12 + t[41]/3 - t[42]/3 + 
       (13*t[43])/16 + (157*t[44])/24 + (13*t[45])/4 + t[46]/6 - 
       (19*t[47])/2 + (83*t[48])/16 + (545*t[49])/96 + (77*t[50])/48 - 
       (557*t[51])/192 + (83*t[52])/48 - (769*t[53])/96 - (163*t[54])/24 - 
       t[55]/6 - (3*t[56])/2 - 3*t[57] + (2*t[58])/3 - (7*t[59])/12 - 
       (85*t[60])/48 - (129*t[61])/16 + (3715*t[62])/96 + (3157*t[63])/96 + 
       (701*t[64])/96 - (253*t[65])/48 - (9545*t[66])/144 - (20*t[68])/3 + 
       t[69] - (10*t[70])/3 + (10*t[71])/3 + (10*t[72])/3 + 4*t[73] - 
       3*t[74] - t[75] - (17*t[76])/6 - (14*t[77])/3 + (59*t[78])/6 - 
       (29*t[79])/2 - (85*t[80])/6 + (28*t[81])/3 - (71*t[82])/6 + 
       (11*t[83])/6 + (511*t[84])/48 + (499*t[85])/48 - (175*t[86])/4 - 
       (527*t[87])/48 - (629*t[88])/32 + (431*t[89])/32 - t[91]/12 + t[93] + 
       2*t[95] - (14*t[96])/3 - (35*t[97])/6 - 56*t[98] + 64*t[99] - 
       (53*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((85*t[1])/6 - (121*t[2])/6 - (49*t[3])/48 - 
       (667*t[4])/48 - (519*t[5])/16 + (471*t[6])/32 + (649*t[7])/48 + 
       (475*t[8])/16 + (1543*t[9])/48 - (1705*t[10])/96 + (2381*t[11])/96 + 
       (153*t[12])/32 + (2701*t[13])/288 - (9853*t[14])/576 - 
       (1859*t[15])/96 - t[16]/3 + (2*t[17])/3 + (8*t[18])/3 + t[20] + 
       (2*t[21])/3 - (2*t[22])/3 - 2*t[23] + (13*t[24])/3 - 7*t[25] - 
       (19*t[26])/3 - (8*t[27])/3 - (13*t[29])/4 - 9*t[30] - (4*t[31])/3 - 
       (11*t[32])/6 + (9*t[33])/2 + (11*t[34])/3 - (5*t[36])/3 + 
       (20*t[38])/3 - (5*t[39])/2 - 4*t[40] - (19*t[41])/6 + (19*t[42])/6 - 
       (69*t[43])/16 - (35*t[44])/8 + (293*t[45])/24 - (19*t[46])/6 + 
       (21*t[47])/4 + (151*t[48])/32 - (457*t[49])/96 + (713*t[50])/96 + 
       (1655*t[51])/192 - (425*t[52])/96 + (377*t[53])/96 - (191*t[54])/96 - 
       t[56]/2 + t[57] + (4*t[58])/3 - (67*t[59])/12 - (145*t[60])/12 + 
       (125*t[61])/12 - (51*t[62])/2 - 50*t[63] + (239*t[64])/8 + 
       (2645*t[65])/36 - (1789*t[66])/18 - t[67]/6 + (2*t[68])/3 - 
       (26*t[70])/3 + (26*t[71])/3 + 6*t[72] + 6*t[73] - (22*t[74])/3 - 
       14*t[75] - 4*t[76] - (31*t[77])/6 - (2*t[78])/3 + 12*t[79] - 
       (13*t[80])/3 + (9*t[81])/2 - (13*t[82])/3 + (37*t[83])/3 + 
       (125*t[84])/12 + 6*t[85] + (62*t[86])/3 + (41*t[87])/3 + 4*t[88] + 
       (81*t[89])/8 - t[90]/3 + t[92]/3 + t[94]/3 - 2*t[95] - (10*t[96])/3 - 
       (7*t[97])/2 - 56*t[98] + 64*t[99] - (53*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((-35*t[1])/18 - (241*t[2])/144 + (3389*t[3])/288 - (523*t[4])/144 + 
       (4735*t[5])/576 - (8585*t[6])/192 + (413*t[7])/288 - 
       (17813*t[8])/288 - (1861*t[9])/576 - (10099*t[10])/288 + 
       (10339*t[11])/576 - (1243*t[12])/576 + (42893*t[13])/5184 - 
       (36713*t[14])/1728 - (10757*t[15])/3456 - t[16]/8 - (17*t[25])/12 + 
       (133*t[26])/36 + (59*t[27])/36 + (3*t[28])/2 + t[29]/4 + 
       (31*t[30])/12 + (29*t[31])/18 - (7*t[34])/18 - 2*t[35] + t[36]/4 + 
       (115*t[37])/36 + (37*t[38])/72 + (19*t[39])/12 + (271*t[40])/72 + 
       (7*t[41])/36 - (7*t[42])/36 + (71*t[43])/48 + (33*t[44])/8 - 
       (1085*t[45])/144 + (175*t[46])/24 + (1085*t[47])/72 - 
       (1099*t[48])/64 + (1451*t[49])/144 - (727*t[50])/576 - 
       (3235*t[51])/576 - (2921*t[52])/576 + (437*t[53])/144 - 
       (131*t[54])/192 - (65*t[58])/36 + (7*t[59])/72 - (5569*t[60])/288 - 
       (9023*t[61])/288 + (9205*t[62])/576 + (30647*t[63])/576 + 
       (3829*t[64])/64 - (18737*t[65])/288 - (19207*t[66])/864 - 
       (13*t[68])/8 - (25*t[69])/6 - (7*t[70])/9 + (7*t[71])/9 - 
       (59*t[72])/6 - (13*t[73])/6 + (11*t[74])/2 + (11*t[75])/3 + 
       (2651*t[76])/72 - (53*t[77])/18 - (767*t[78])/18 - (31*t[79])/2 + 
       (115*t[80])/3 + (41*t[81])/9 - (173*t[82])/36 - (11*t[83])/18 - 
       (2831*t[84])/96 + (3221*t[85])/288 - (7*t[86])/24 - 
       (11509*t[87])/288 - (2429*t[88])/64 - (959*t[89])/64 - t[90]/8 - 
       t[91]/24 - t[93]/2 + (25*t[95])/3 + (379*t[96])/36 + (15*t[97])/4 + 
       (658*t[98])/3 - 226*t[99] - (51*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      ((16*t[1])/9 - (371*t[2])/144 - (271*t[3])/144 + (2317*t[4])/144 + 
       (1651*t[5])/288 - (251*t[6])/192 + (365*t[7])/144 + (1363*t[8])/144 - 
       (163*t[9])/288 + (5623*t[10])/288 + (4475*t[11])/576 - 
       (3007*t[12])/288 + (61*t[13])/81 + (13705*t[14])/864 - 
       (5819*t[15])/1728 - t[16]/4 - (7*t[25])/8 + (23*t[26])/36 - t[27]/18 - 
       t[28]/4 + t[29] + t[30]/6 + t[31]/18 + t[32] - t[33] - (49*t[34])/36 + 
       (37*t[36])/6 - (4*t[37])/9 + (59*t[38])/72 + (3*t[39])/2 - 
       (8*t[40])/9 + (49*t[41])/72 - (49*t[42])/72 + t[43]/12 + t[44]/4 + 
       (2*t[45])/9 - (43*t[46])/48 + (5*t[47])/9 + (31*t[48])/64 + 
       (2495*t[49])/288 - (3137*t[50])/576 - (4727*t[51])/576 + 
       (2321*t[52])/576 - (1621*t[53])/288 - (599*t[54])/64 - (7*t[58])/36 + 
       (151*t[59])/144 + (4171*t[60])/288 + (13691*t[61])/288 - 
       (13015*t[62])/576 + (5461*t[63])/576 - (2597*t[64])/64 - 
       (415*t[65])/18 - (11485*t[66])/432 - (7*t[69])/12 - (13*t[70])/18 + 
       (13*t[71])/18 - t[72]/3 + (35*t[73])/12 - (11*t[74])/12 - 
       (161*t[75])/12 + (269*t[76])/36 + (37*t[77])/36 - (401*t[78])/36 + 
       (11*t[79])/2 + (9*t[80])/2 + (127*t[81])/144 + (173*t[82])/144 + 
       (275*t[83])/72 - (37*t[84])/24 + (385*t[85])/288 - (55*t[86])/6 - 
       (3659*t[87])/288 - (551*t[88])/64 + (25*t[89])/192 - t[95]/2 + 
       (47*t[96])/9 + (11*t[97])/4 + (125*t[98])/3 - 45*t[99] - 
       (197*t[100])/8) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-67*t[1])/72 + t[2]/8 - (119*t[3])/72 - 
       (311*t[4])/72 + (151*t[5])/144 + (67*t[6])/24 - (33*t[7])/16 + 
       (899*t[8])/144 - (157*t[9])/48 + (71*t[10])/8 - (71*t[11])/9 + 
       (163*t[12])/72 - (2959*t[13])/432 + (1031*t[14])/216 + 
       (2839*t[15])/864 + t[19] + t[20] + t[21] - t[22] - t[23] + t[25]/18 + 
       t[26] - t[27] + t[29]/2 - t[30]/2 - t[34]/4 - t[37]/12 - 
       (19*t[38])/18 + t[39]/2 + t[40]/2 + (5*t[41])/8 - (5*t[42])/8 - 
       t[43]/4 - t[44]/2 - (97*t[46])/24 - t[47]/2 + (37*t[48])/24 + 
       (1457*t[49])/144 - t[50]/72 + (11*t[51])/18 + (19*t[52])/72 - 
       (977*t[53])/144 + (35*t[54])/9 + (7*t[59])/4 - (95*t[60])/12 + 
       (469*t[61])/18 - (161*t[62])/48 + (4771*t[63])/144 - (533*t[64])/72 + 
       (571*t[65])/72 + (247*t[66])/18 + (5*t[69])/3 - (5*t[70])/6 + 
       (5*t[71])/6 + 2*t[72] + t[73] - (5*t[74])/12 - (2*t[75])/3 - 
       (3*t[76])/4 - t[77]/2 + (7*t[78])/4 - (5*t[79])/12 + 2*t[80] + t[81] + 
       t[82] + (37*t[83])/36 - (151*t[84])/72 - (587*t[85])/72 - 
       (103*t[86])/36 - (29*t[87])/8 - (33*t[88])/16 - (31*t[89])/4 - 
       t[96]/2 + t[97]/4 - 6*t[98] + 6*t[99] - (73*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*((-101*t[4])/2 + t[5]/4 - 
       t[7]/2 - t[8]/2 - t[9]/4 + 31*t[10] - 14*t[11] - (53*t[12])/4 - 
       (215*t[13])/6 + (1727*t[14])/48 - (63*t[15])/8 + 6*t[36] - 
       (37*t[49])/2 - (111*t[51])/16 + (37*t[53])/2 - (33*t[54])/4 - 
       64*t[60] + 111*t[61] - (395*t[62])/8 + (907*t[63])/8 - 22*t[64] + 
       (431*t[65])/12 + (205*t[66])/12 + 48*t[73] - 120*t[75] + 6*t[79] + 
       26*t[83] + (33*t[84])/4 + (33*t[85])/4 - 2*t[86] + 64*t[87] + 
       32*t[88] - (39*t[89])/4 - 24*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*(-3*t[1] - 2*t[3] + (23*t[4])/2 - 
       (11*t[5])/2 + (3*t[6])/4 - (3*t[7])/4 + (13*t[8])/4 + (15*t[9])/2 - 
       (105*t[10])/4 + (263*t[11])/4 - (17*t[12])/4 + (473*t[13])/6 + 
       (35*t[14])/12 - (25*t[15])/6 + 4*t[25] - 3*t[26] - 9*t[37] - 3*t[38] + 
       51*t[46] + (3*t[48])/4 - (209*t[49])/4 - (13*t[50])/4 - 
       (311*t[51])/8 + (13*t[52])/4 + (71*t[53])/4 - 5*t[54] - (23*t[59])/2 - 
       3*t[60] - (29*t[61])/4 - 27*t[62] - 118*t[63] + (683*t[64])/8 + 
       (269*t[65])/12 - (769*t[66])/4 - 3*t[67] - 12*t[69] + 6*t[70] - 
       6*t[71] + 48*t[73] + 21*t[74] - 120*t[75] + 21*t[79] + 3*t[81] - 
       3*t[82] + 35*t[83] + (41*t[84])/4 + (43*t[85])/4 - 11*t[86] + 
       (111*t[87])/2 + (111*t[88])/4 + (93*t[89])/2 - 24*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v]*(t[1]/2 + 25*t[4] + 
       7*t[5] - 7*t[9] - 52*t[10] - 14*t[11] - (9*t[12])/2 + (91*t[13])/3 - 
       (71*t[14])/3 + (3*t[15])/2 - 4*t[16] - 4*t[26] + 24*t[36] + 22*t[37] + 
       t[38]/2 + 6*t[46] - 31*t[49] - 4*t[51] + 7*t[53] - 9*t[54] + 
       18*t[60] - 78*t[61] + 57*t[62] - 35*t[63] + (35*t[64])/2 + 50*t[65] + 
       33*t[66] + 4*t[67] - 8*t[69] - 8*t[70] + 12*t[71] - 24*t[74] + 
       9*t[84] + 9*t[85] + 12*t[87] + 6*t[88] + 49*t[89] - 24*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u]*(-2*t[3] - 6*t[4] - 
       19*t[5] - 6*t[6] + 2*t[7] + 6*t[8] + 21*t[9] - 18*t[10] + 14*t[11] + 
       9*t[12] + (53*t[13])/3 - (167*t[14])/12 + (19*t[15])/6 + 12*t[46] - 
       6*t[48] - 14*t[49] - 10*t[50] - (7*t[51])/4 + 10*t[52] + 14*t[53] + 
       t[54] + 6*t[60] + 22*t[61] + (77*t[62])/2 - (139*t[63])/2 + 55*t[64] + 
       (49*t[65])/3 - 3*t[66] + 12*t[81] - 12*t[82] + 11*t[84] + 25*t[85] - 
       8*t[87] - 4*t[88] + 53*t[89] - 24*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*(-10*t[4] + (11*t[5])/8 - 
       (11*t[7])/4 - (11*t[8])/4 - (83*t[9])/8 + 64*t[10] - (281*t[11])/4 - 
       (565*t[12])/8 - (196*t[13])/3 + (599*t[14])/48 + (57*t[15])/16 + 
       9*t[36] + (103*t[49])/4 - (489*t[51])/16 - (103*t[53])/4 - 
       (135*t[54])/4 - (119*t[60])/2 + 114*t[61] + (109*t[62])/8 + 
       (1123*t[63])/8 - 106*t[64] + (943*t[65])/12 + (2437*t[66])/12 - 
       6*t[72] - 9*t[73] - 21*t[75] - 18*t[76] + 9*t[79] + 14*t[83] + 
       (39*t[84])/4 + (39*t[85])/4 - 11*t[86] + (35*t[87])/2 + (35*t[88])/4 + 
       (213*t[89])/4 - 24*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(5*t[1] - 2*t[3] + 22*t[4] - (31*t[5])/4 - 
       (3*t[6])/8 - (3*t[7])/4 + (13*t[8])/4 + (39*t[9])/4 - 141*t[10] + 
       (829*t[11])/8 + (53*t[12])/2 + (763*t[13])/12 - (635*t[14])/24 - 
       (289*t[15])/24 + 4*t[25] - 9*t[26] + 6*t[27] - 9*t[37] + 5*t[38] + 
       (99*t[46])/2 - (3*t[48])/8 - 80*t[49] - (35*t[50])/8 - (137*t[51])/8 + 
       (35*t[52])/8 + (79*t[53])/2 - (43*t[54])/8 - (13*t[59])/2 + 
       (315*t[60])/4 - (103*t[61])/2 - (189*t[62])/8 - (1451*t[63])/8 + 
       91*t[64] - (279*t[65])/4 - (649*t[66])/4 - 9*t[73] + 9*t[74] - 
       21*t[75] - 18*t[76] + 9*t[79] + (9*t[81])/2 - (9*t[82])/2 + 14*t[83] + 
       (47*t[84])/4 + (29*t[85])/2 - 11*t[86] + (51*t[87])/4 + (51*t[88])/8 + 
       (471*t[89])/8 - 24*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*(2*t[1] + (9*t[2])/2 - 3*t[3] - (137*t[4])/4 - 
       (81*t[5])/4 + (51*t[6])/4 + 4*t[7] + 19*t[8] + (31*t[9])/4 + 
       (37*t[10])/8 - (151*t[11])/4 - (13*t[12])/8 - (953*t[13])/36 + 
       (511*t[14])/48 - t[15] - 6*t[25] + 6*t[26] + 6*t[30] + 4*t[31] + 
       2*t[36] - 2*t[37] - t[40] + t[43] + (23*t[48])/4 + (51*t[49])/8 + 
       (7*t[50])/4 - (55*t[51])/16 + (17*t[52])/4 + (37*t[53])/8 + 24*t[54] - 
       t[59]/2 - (225*t[60])/4 + t[61]/4 + (223*t[62])/8 + (601*t[63])/8 + 
       (89*t[64])/8 - (25*t[65])/12 + (27*t[66])/4 - 4*t[70] + 4*t[71] - 
       4*t[72] - 2*t[74] + 2*t[76] - 4*t[77] - t[78] + 2*t[80] + 2*t[82] - 
       (53*t[84])/4 + (17*t[85])/4 - 4*t[86] + (19*t[87])/4 - (133*t[88])/8 - 
       (135*t[89])/8 + 4*t[95] + 4*t[96] - 3*t[97] + 24*t[98] - 24*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-2*t[1] + (9*t[2])/2 - 4*t[3] - (115*t[4])/4 - (9*t[5])/2 + 
       (19*t[6])/4 + (13*t[7])/2 + (15*t[8])/2 + 20*t[9] - (227*t[10])/8 - 
       (55*t[11])/4 + (133*t[12])/8 - (203*t[13])/12 + (85*t[14])/48 + 
       (83*t[15])/24 + 2*t[26] + 6*t[30] + 4*t[31] + 2*t[36] + 4*t[37] - 
       2*t[38] + t[39] - 3*t[40] + t[43] - 2*t[45] + 4*t[47] + (23*t[48])/4 + 
       (3*t[49])/8 + (23*t[50])/4 + (43*t[51])/16 + t[52]/4 + (85*t[53])/8 + 
       (37*t[54])/2 + t[59]/2 - (243*t[60])/4 - (83*t[61])/4 + 
       (209*t[62])/8 + (359*t[63])/8 + (421*t[64])/8 - (299*t[65])/12 - 
       (17*t[66])/4 - 4*t[70] + 4*t[71] - 10*t[72] - 2*t[74] + 3*t[76] - 
       5*t[78] - 4*t[80] - t[81] - t[82] - (59*t[84])/4 - (21*t[85])/4 + 
       8*t[86] + (45*t[87])/4 - (107*t[88])/8 - (97*t[89])/8 + 4*t[95] + 
       6*t[96] - 3*t[97] + 24*t[98] - 24*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((29*t[1])/4 + (7*t[2])/2 + (29*t[3])/2 - (1255*t[4])/16 + 
       (5*t[5])/16 - (563*t[6])/16 + (23*t[7])/4 - (173*t[8])/4 + 
       (11*t[9])/16 - (1889*t[10])/32 + (27*t[11])/16 + (185*t[12])/32 + 
       (85*t[13])/16 - (3657*t[14])/64 + (53*t[15])/6 + 2*t[16] + t[25] - 
       (15*t[26])/2 + 4*t[27] + 6*t[30] - t[31] + t[34] - 3*t[35] + 
       (19*t[36])/2 - t[37]/2 + 7*t[38] - 7*t[39] + 5*t[40] - t[41]/2 + 
       t[42]/2 + 3*t[43] - 3*t[44] - (7*t[45])/2 + (11*t[46])/2 + 7*t[47] - 
       (159*t[48])/16 + (33*t[49])/32 + (145*t[50])/16 + (643*t[51])/64 - 
       (145*t[52])/16 + (687*t[53])/32 + (107*t[54])/4 - 2*t[58] - 
       (27*t[59])/4 - (1841*t[60])/16 - (1147*t[61])/16 + (1279*t[62])/32 + 
       (1801*t[63])/32 + (2789*t[64])/32 + (161*t[65])/16 - (2087*t[66])/48 - 
       2*t[67] - 12*t[69] + 2*t[70] - 2*t[71] + 5*t[72] + 18*t[73] + 
       (15*t[74])/2 - 19*t[75] + 11*t[76] - (19*t[77])/2 - 28*t[78] + 
       11*t[79] + 26*t[80] - (5*t[81])/4 + (61*t[82])/4 - (77*t[83])/2 - 
       (585*t[84])/16 - (119*t[85])/16 + 16*t[86] - (465*t[87])/16 - 
       (1537*t[88])/32 - (1867*t[89])/32 + 15*t[95] + 10*t[96] - 
       (3*t[97])/2 + 84*t[98] - 78*t[99] - 24*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-5*t[1])/2 + (5*t[2])/4 - 19*t[3] - (647*t[4])/16 + (35*t[5])/16 + 
       (3*t[6])/16 + 17*t[7] + 52*t[8] + (189*t[9])/16 + (945*t[10])/32 - 
       (425*t[11])/16 + (771*t[12])/32 - (4069*t[13])/144 + 
       (6913*t[14])/192 + (135*t[15])/8 - 3*t[25] + 10*t[26] - 4*t[27] + 
       4*t[31] - (7*t[34])/2 + 3*t[35] + (25*t[36])/2 - t[37]/2 - 
       (11*t[38])/2 + 3*t[39] - 4*t[40] + (7*t[41])/4 - (7*t[42])/4 + 
       6*t[44] + (5*t[45])/2 + t[46] - 5*t[47] + (171*t[48])/16 + 
       (939*t[49])/32 - (149*t[50])/16 - (725*t[51])/64 + (221*t[52])/16 + 
       (5*t[53])/32 + (293*t[54])/8 - t[58]/2 + 5*t[59] - (1223*t[60])/16 + 
       (257*t[61])/16 - (1133*t[62])/32 + (1549*t[63])/32 + (697*t[64])/32 - 
       (1553*t[65])/48 - (1197*t[66])/16 - 7*t[70] + 7*t[71] - 6*t[72] + 
       18*t[73] - (9*t[74])/2 - 10*t[75] + 13*t[76] + t[77]/2 - 
       (47*t[78])/2 - 7*t[79] + 6*t[80] + (3*t[81])/4 + (3*t[82])/4 - 
       54*t[83] - (601*t[84])/16 - (451*t[85])/16 - 4*t[86] - 
       (709*t[87])/16 - (1781*t[88])/32 - (657*t[89])/32 + 15*t[95] + 
       19*t[96] + 3*t[97] + 84*t[98] - 78*t[99] - 24*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-43*t[1])/6 + (7*t[2])/3 + (17*t[3])/6 - (379*t[4])/24 + 
       (47*t[5])/8 + (361*t[6])/24 - (5*t[7])/2 + (25*t[8])/2 - (67*t[9])/8 - 
       (401*t[10])/48 - (545*t[11])/24 + (649*t[12])/48 - (941*t[13])/72 + 
       (1745*t[14])/288 + (4*t[15])/9 - (2*t[25])/3 + (25*t[26])/3 + 
       (2*t[27])/3 - 4*t[28] - (2*t[31])/3 + (2*t[34])/3 + 4*t[35] + t[36] - 
       (13*t[37])/3 - (23*t[38])/3 - (2*t[39])/3 + (4*t[40])/3 - t[41]/3 + 
       t[42]/3 + 4*t[44] + (5*t[45])/3 - (8*t[46])/3 - (10*t[47])/3 + 
       (59*t[48])/8 + (3*t[49])/16 + (27*t[50])/8 - (305*t[51])/96 + 
       (5*t[52])/8 - (19*t[53])/16 + 7*t[54] + (2*t[58])/3 + (17*t[59])/6 - 
       (305*t[60])/24 + (89*t[61])/24 + (1903*t[62])/48 + (2137*t[63])/48 - 
       (1559*t[64])/48 + (2051*t[65])/72 + (3757*t[66])/72 - (2*t[70])/3 + 
       (2*t[71])/3 - (20*t[72])/3 + 4*t[73] - 3*t[74] - 8*t[75] - 
       (5*t[76])/3 - (13*t[77])/3 + (10*t[78])/3 + 8*t[79] - (44*t[80])/3 - 
       (5*t[81])/2 + (35*t[82])/6 - (20*t[83])/3 + (95*t[84])/24 + 
       (137*t[85])/24 - 18*t[86] + (391*t[87])/24 + (93*t[88])/16 + 
       (5*t[89])/48 - 2*t[95] - (10*t[96])/3 - 3*t[97] - 16*t[98] + 
       36*t[99] - 24*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Omega2[u, v, w]*((35*t[1])/6 + (10*t[2])/3 - (25*t[3])/3 - 
       (43*t[4])/24 - (251*t[5])/24 + (249*t[6])/8 + (31*t[7])/6 + 
       (167*t[8])/6 + (149*t[9])/24 + (143*t[10])/48 + (439*t[11])/24 + 
       (397*t[12])/48 - (781*t[13])/216 + (2581*t[14])/288 + (257*t[15])/72 + 
       t[25] - (10*t[26])/3 + t[27]/3 + 3*t[28] + 2*t[30] - t[31]/3 - 
       t[34]/3 - 6*t[35] - 7*t[36] - (4*t[37])/3 + (10*t[38])/3 + t[39] - 
       (11*t[40])/3 + t[41]/6 - t[42]/6 + t[43] - 2*t[44] + (8*t[45])/3 + 
       (5*t[46])/2 - (16*t[47])/3 + (87*t[48])/8 - (671*t[49])/48 + 
       (125*t[50])/24 + (251*t[51])/96 + (43*t[52])/24 + (391*t[53])/48 - 
       (3*t[54])/2 + (5*t[58])/3 - (13*t[59])/6 + (247*t[60])/24 + 
       (557*t[61])/24 + (413*t[62])/48 - (2141*t[63])/48 + (239*t[64])/16 + 
       (215*t[65])/24 - (149*t[66])/72 + t[69] - (2*t[70])/3 + (2*t[71])/3 + 
       3*t[72] + 4*t[73] + 4*t[74] - 5*t[75] - (49*t[76])/3 + (7*t[77])/3 + 
       (37*t[78])/3 + 12*t[79] - 17*t[80] - (25*t[81])/6 - (11*t[82])/6 - 
       (43*t[83])/6 + (121*t[84])/8 - (215*t[85])/24 - 14*t[86] + 
       (715*t[87])/24 + (345*t[88])/16 + (243*t[89])/16 - 4*t[95] - 
       (16*t[96])/3 - 3*t[97] - 112*t[98] + 120*t[99] - 24*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-65*t[1])/24 - t[3]/6 + (1195*t[4])/144 + (311*t[5])/576 + 
       (77*t[6])/64 + (341*t[7])/144 + (389*t[8])/144 - (647*t[9])/576 + 
       (967*t[10])/288 + (6359*t[11])/576 - (7357*t[12])/576 - 
       (7207*t[13])/864 + (58205*t[14])/3456 - (6787*t[15])/1152 + t[25]/3 + 
       (19*t[26])/8 + t[27]/2 - (5*t[36])/8 - (5*t[37])/24 - (65*t[38])/24 + 
       (35*t[46])/16 + (101*t[48])/64 - (155*t[49])/72 + (239*t[50])/192 - 
       (3233*t[51])/384 - (239*t[52])/192 - (137*t[53])/144 - 
       (705*t[54])/64 + (35*t[59])/48 + (2207*t[60])/288 + (2137*t[61])/48 - 
       (5441*t[62])/144 + (2485*t[63])/144 - (8737*t[64])/288 - 
       (9469*t[65])/432 - (5899*t[66])/432 - (25*t[69])/12 + (13*t[70])/12 - 
       (13*t[71])/12 - t[72]/2 - (5*t[73])/2 + (85*t[74])/24 - 19*t[75] - 
       3*t[76] + (35*t[79])/12 - (85*t[81])/48 + (85*t[82])/48 + 
       (649*t[83])/36 + (115*t[84])/16 + (475*t[85])/96 + (317*t[86])/36 - 
       (2753*t[87])/288 - (1553*t[88])/576 - (309*t[89])/64 - (20*t[95])/3 - 
       (283*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-43*t[4])/8 - (3*t[5])/4 + (3*t[7])/2 + (3*t[8])/2 + (3*t[9])/4 + 
       (107*t[10])/16 - 8*t[11] - (357*t[12])/16 - (341*t[13])/24 + 
       (459*t[14])/32 - (139*t[15])/48 + 3*t[36] + (17*t[49])/16 - 
       (205*t[51])/32 - (29*t[53])/16 - (47*t[54])/8 - (107*t[60])/8 + 
       (413*t[61])/8 - (191*t[62])/16 + (519*t[63])/16 - (405*t[64])/16 + 
       (451*t[65])/24 + (565*t[66])/24 - t[69]/2 - 3*t[73] - 13*t[75] + 
       3*t[79] + (67*t[83])/4 + (47*t[84])/8 + (47*t[85])/8 + 6*t[86] + 
       (151*t[87])/8 + (151*t[88])/16 + (87*t[89])/16 - (45*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*(-t[1]/2 - (15*t[3])/8 + 
       (69*t[4])/8 - (51*t[5])/16 + (27*t[6])/16 + (27*t[7])/8 + 
       (57*t[8])/8 + (81*t[9])/16 - (377*t[10])/16 + (365*t[11])/16 + 
       (5*t[12])/2 + (335*t[13])/16 + (1021*t[14])/96 - (179*t[15])/32 + 
       (7*t[25])/2 - 3*t[26] - 3*t[37] - t[38]/2 + (33*t[46])/2 + 
       (27*t[48])/16 - (401*t[49])/16 - (33*t[50])/16 - (529*t[51])/32 + 
       (33*t[52])/16 + (101*t[53])/16 - (61*t[54])/16 - 2*t[59] + 
       (61*t[60])/4 + 18*t[61] - 21*t[62] - (131*t[63])/4 + (113*t[64])/8 - 
       (49*t[65])/6 - (359*t[66])/6 - t[69] + t[70]/2 - t[71]/2 - 3*t[73] + 
       3*t[74] - 13*t[75] + 3*t[79] + (3*t[81])/2 - (3*t[82])/2 + 
       (67*t[83])/4 + (31*t[84])/4 + (25*t[85])/4 + 6*t[86] + (71*t[87])/4 + 
       (71*t[88])/8 + (145*t[89])/8 - (45*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2*
      ((-35*t[1])/72 - (91*t[2])/36 + (8*t[3])/9 + (5281*t[4])/288 + 
       (755*t[5])/192 - (1111*t[6])/72 - t[7] - (125*t[8])/8 - 
       (535*t[9])/192 - (3601*t[10])/576 + (6749*t[11])/288 - 
       (1457*t[12])/288 + (12611*t[13])/864 + (1081*t[14])/3456 - 
       (10025*t[15])/3456 + (7*t[16])/16 + (11*t[25])/9 - (149*t[26])/72 + 
       (29*t[27])/18 - t[29] + (5*t[30])/12 - (13*t[31])/36 - t[32] + t[33] + 
       (5*t[34])/18 + t[35]/2 - (49*t[36])/24 + (35*t[37])/18 + 
       (7*t[38])/18 - (29*t[39])/18 + (89*t[40])/36 - (5*t[41])/36 + 
       (5*t[42])/36 + (5*t[43])/24 - (29*t[45])/36 + (281*t[46])/144 + 
       (11*t[47])/18 - 5*t[48] - (31*t[49])/64 - (10*t[50])/3 - 
       (1975*t[51])/1152 - t[52]/2 - (319*t[53])/192 - (731*t[54])/96 - 
       (8*t[58])/9 - t[59]/144 + (7001*t[60])/288 - (683*t[61])/288 - 
       (14461*t[62])/576 - (11389*t[63])/576 + (6533*t[64])/576 - 
       (18719*t[65])/864 - (42769*t[66])/864 + t[67]/16 + (3*t[69])/4 - 
       (31*t[70])/36 + (31*t[71])/36 + (43*t[72])/18 + (7*t[73])/6 + 
       (85*t[74])/24 - (23*t[75])/3 + (311*t[76])/36 - (11*t[77])/36 - 
       (179*t[78])/18 + (97*t[80])/18 + (47*t[81])/8 - (137*t[82])/72 + 
       (853*t[83])/72 + (475*t[84])/288 + (2845*t[85])/288 + (13*t[86])/2 - 
       (5971*t[87])/288 - (815*t[88])/64 - (1271*t[89])/576 + t[95]/3 + 
       (22*t[96])/9 + (3*t[97])/2 + (151*t[98])/3 - 54*t[99] - 
       (177*t[100])/8) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - v]*
      (-t[3]/12 + (57*t[4])/2 - (5*t[5])/12 + t[7]/3 + t[8]/2 + t[9]/2 + 
       (106*t[10])/3 - (11*t[11])/6 - (103*t[12])/3 - (209*t[13])/72 + 
       (247*t[14])/9 - (761*t[15])/72 + (13*t[36])/3 + t[46]/6 + 
       (21*t[49])/4 - t[50]/6 - (523*t[51])/24 + t[52]/6 - (51*t[53])/4 - 
       (179*t[54])/6 + (122*t[60])/3 + (773*t[61])/12 - (11*t[62])/12 + 
       (155*t[63])/12 - (743*t[64])/8 + (349*t[65])/12 + (869*t[66])/36 - 
       5*t[69] - 3*t[73] - (23*t[75])/3 + (13*t[79])/3 + t[81]/6 - t[82]/6 + 
       (9*t[83])/2 + (361*t[84])/12 + (181*t[85])/6 + t[86] + (31*t[87])/2 + 
       (31*t[88])/4 + (425*t[89])/12 - 22*t[100]) + 
     HPL[{1}, 1 - v]^2*Qep[u, v, w]*((-32*t[1])/9 - (16*t[3])/9 - 
       (688*t[4])/9 - (8*t[5])/9 + (8*t[6])/3 - 4*t[7] - (4*t[8])/9 + 
       (8*t[9])/3 - 4*t[10] - (8*t[11])/9 + (152*t[12])/9 - (256*t[13])/27 - 
       (482*t[14])/27 + (332*t[15])/27 + (32*t[25])/9 - (16*t[37])/3 - 
       (32*t[38])/9 + (40*t[46])/3 + (8*t[48])/3 - (112*t[49])/9 - 
       (8*t[50])/9 + (46*t[51])/9 + (8*t[52])/9 + (304*t[53])/9 + 
       (152*t[54])/9 - (8*t[59])/3 - (128*t[60])/3 + (176*t[61])/9 + 
       (88*t[62])/3 + (184*t[63])/9 + (776*t[64])/9 + (224*t[65])/9 + 
       (368*t[66])/9 - (64*t[69])/3 + (32*t[70])/3 - (32*t[71])/3 + 
       (16*t[74])/3 + (64*t[75])/3 + (16*t[79])/3 - (272*t[83])/9 - 
       (128*t[84])/9 - (160*t[85])/9 - (208*t[86])/9 + 32*t[87] + 16*t[88] - 
       (64*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*(6*t[1] + (7*t[4])/4 - (31*t[5])/16 + 
       (31*t[7])/8 + (31*t[8])/8 + (31*t[9])/16 + (37*t[10])/8 + 
       (13*t[11])/8 - (301*t[12])/16 - (95*t[13])/12 + (1547*t[14])/96 - 
       (105*t[15])/32 - 6*t[26] + (3*t[36])/2 + 6*t[38] + (13*t[49])/2 - 
       (177*t[51])/32 - (13*t[53])/2 - (15*t[54])/8 - 3*t[59] + 
       (11*t[60])/2 + (105*t[61])/4 - (347*t[62])/16 + (331*t[63])/16 - 
       (43*t[64])/8 - (137*t[65])/24 - (227*t[66])/24 - 6*t[69] - 
       (3*t[73])/2 - (15*t[75])/2 + (3*t[79])/2 - t[83]/2 + (15*t[84])/8 + 
       (15*t[85])/8 + (31*t[86])/2 - (11*t[87])/2 - (31*t[88])/8 - 
       (15*t[89])/2 - 21*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*(t[1] + (11*t[2])/8 - (19*t[3])/8 - 
       (145*t[4])/32 - (57*t[5])/32 + (319*t[6])/32 + (31*t[7])/8 + 
       (85*t[8])/8 - (19*t[9])/32 - (641*t[10])/64 + (339*t[11])/32 + 
       (529*t[12])/64 - (259*t[13])/288 - (443*t[14])/128 + 
       (1069*t[15])/288 - t[25]/2 + t[26]/2 + t[27]/2 + t[30] - t[31] - 
       t[34]/4 - t[35] - (3*t[36])/4 - (3*t[37])/4 + t[38]/2 - t[40]/2 + 
       t[41]/8 - t[42]/8 + t[43]/2 - t[44]/2 + (3*t[45])/4 + 2*t[46] - 
       (3*t[47])/2 + (139*t[48])/32 - (563*t[49])/64 + (107*t[50])/32 + 
       (325*t[51])/128 - (19*t[52])/32 + (403*t[53])/64 - (3*t[54])/2 + 
       (3*t[58])/4 - t[59]/2 - (45*t[60])/32 + (227*t[61])/32 + 
       (437*t[62])/64 - (1525*t[63])/64 + (699*t[64])/64 + (271*t[65])/32 + 
       (1319*t[66])/96 + t[69] + t[70]/2 - t[71]/2 + t[72]/2 + t[73] + 
       t[74]/4 - 2*t[75] - (29*t[76])/4 - t[77]/4 + (17*t[78])/4 + 4*t[79] - 
       (11*t[80])/2 - (35*t[81])/8 + (9*t[82])/8 + (133*t[84])/32 - 
       (173*t[85])/32 + (3*t[86])/2 + (613*t[87])/32 + (789*t[88])/64 + 
       (373*t[89])/64 - (3*t[95])/2 - 2*t[96] - t[97] - 48*t[98] + 57*t[99] - 
       21*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*((-15*t[1])/8 + (143*t[2])/24 - (7*t[3])/24 + 
       (83*t[4])/12 - (10*t[5])/3 + (2171*t[6])/48 + (31*t[7])/6 + 
       (737*t[8])/12 + (173*t[9])/24 - (17*t[10])/32 - (103*t[11])/8 - 
       (81*t[12])/32 - (95*t[13])/6 + (11791*t[14])/576 - (907*t[15])/96 + 
       (7*t[25])/3 + (13*t[26])/6 - (10*t[27])/3 - 6*t[28] + 2*t[29] - 
       3*t[30] - (8*t[31])/3 + 2*t[32] - 2*t[33] + (5*t[34])/12 + 7*t[35] - 
       (7*t[36])/6 - (47*t[37])/6 - (7*t[38])/2 + (43*t[39])/12 - 
       (8*t[40])/3 - (5*t[41])/24 + (5*t[42])/24 - (3*t[43])/2 + 3*t[44] + 
       (7*t[45])/6 - (49*t[46])/6 - t[47]/3 + (295*t[48])/16 - 
       (41*t[49])/96 + (143*t[50])/16 - (775*t[51])/192 + (21*t[52])/16 - 
       (1183*t[53])/96 - (517*t[54])/48 + (29*t[58])/12 - t[59] + 
       (369*t[60])/16 + (601*t[61])/16 - (237*t[62])/32 - (71*t[63])/32 - 
       (931*t[64])/96 + (1079*t[65])/24 + (4081*t[66])/72 + (7*t[70])/3 - 
       (7*t[71])/3 - (49*t[72])/6 + (11*t[73])/2 - (7*t[74])/3 - 
       (31*t[75])/2 - (281*t[76])/12 - (4*t[77])/3 + (85*t[78])/3 + 
       (17*t[79])/2 - (133*t[80])/6 - (109*t[81])/12 + (71*t[82])/12 - 
       (5*t[83])/6 + (769*t[84])/24 + (103*t[85])/24 + (109*t[86])/6 + 
       (301*t[87])/6 + (883*t[88])/24 + (471*t[89])/32 - (28*t[95])/3 - 
       (65*t[96])/6 - (23*t[97])/4 - 148*t[98] + 162*t[99] - 21*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (-t[1]/2 - (17*t[2])/12 + (8*t[3])/3 + (199*t[4])/144 + 
       (3097*t[5])/288 + (91*t[6])/16 + (323*t[7])/144 + (563*t[8])/144 - 
       (1693*t[9])/288 - (2159*t[10])/288 + (901*t[11])/72 + 
       (1853*t[12])/144 + (473*t[13])/432 - (1207*t[14])/216 + 
       (535*t[15])/192 + t[25]/2 + t[26] - t[27]/6 + t[29] + t[30] + 
       (2*t[31])/3 + t[32] - t[33] - (5*t[34])/6 - (3*t[35])/2 - 
       (25*t[36])/12 + t[37]/6 - t[38] + (3*t[39])/2 - (7*t[40])/6 + 
       (5*t[41])/12 - (5*t[42])/12 + t[43]/2 + (5*t[45])/3 - (7*t[47])/3 + 
       (33*t[48])/16 + (73*t[49])/288 - (77*t[50])/48 + (301*t[51])/96 + 
       (53*t[52])/48 + (335*t[53])/288 + (33*t[54])/16 + t[58]/6 + t[59] - 
       (137*t[60])/144 + (385*t[61])/48 - (337*t[62])/72 - (499*t[63])/72 + 
       (7295*t[64])/288 - (5861*t[65])/216 - (227*t[66])/216 + (5*t[69])/6 + 
       t[70]/3 - t[71]/3 + t[72]/2 + (11*t[73])/12 + (5*t[74])/3 - 
       (61*t[75])/12 + (13*t[76])/6 + (5*t[77])/6 - (37*t[78])/6 + 
       (73*t[79])/12 - (7*t[80])/2 - (15*t[81])/4 + (15*t[82])/4 - 
       (49*t[83])/18 - (71*t[84])/8 - (145*t[85])/12 - (457*t[86])/36 - 
       (1525*t[87])/144 - (709*t[88])/288 - (1069*t[89])/96 - (7*t[95])/3 + 
       (5*t[96])/3 + (3*t[97])/2 + 8*t[98] - 8*t[99] - (125*t[100])/6) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]^2*((-4*t[1])/3 + (13*t[2])/24 + 
       (47*t[3])/48 + (145*t[4])/96 - (5*t[5])/8 + (353*t[6])/96 - 
       (11*t[7])/16 + (27*t[8])/16 + (13*t[9])/16 - (307*t[10])/64 + 
       (121*t[11])/96 - (245*t[12])/192 - (149*t[13])/144 + 
       (4769*t[14])/1152 - (1153*t[15])/576 + t[25]/6 + (2*t[26])/3 - 
       (2*t[27])/3 - t[28] - t[31]/3 + (7*t[34])/12 + (3*t[35])/2 + 
       (5*t[36])/12 - (17*t[37])/12 - (13*t[38])/12 + t[39]/6 + (2*t[40])/3 - 
       (7*t[41])/24 + (7*t[42])/24 + t[44] + t[45]/12 - (31*t[46])/24 - 
       t[47]/6 + (43*t[48])/32 - (227*t[49])/192 + (47*t[50])/32 - 
       (61*t[51])/384 - (39*t[52])/32 - (253*t[53])/192 - (15*t[54])/4 + 
       t[58]/12 + t[59]/6 + (273*t[60])/32 + (1297*t[61])/96 - 
       (701*t[62])/192 + (1477*t[63])/192 - (777*t[64])/64 + 
       (1921*t[65])/288 + (71*t[66])/32 + t[70]/6 - t[71]/6 - (4*t[72])/3 + 
       t[73]/2 - t[74]/4 - (29*t[75])/6 - (11*t[76])/6 - (11*t[77])/12 + 
       (35*t[78])/12 + (2*t[79])/3 - (4*t[80])/3 + (5*t[81])/12 + 
       (21*t[83])/4 + (721*t[84])/96 + (421*t[85])/96 + (9*t[86])/2 + 
       (319*t[87])/96 + (527*t[88])/192 - (259*t[89])/192 - (3*t[95])/2 - 
       (13*t[96])/6 - t[97] - 14*t[98] + 19*t[99] - (83*t[100])/4) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]^2*((35*t[1])/24 + t[2]/6 - 
       (29*t[3])/12 + (857*t[4])/96 - (11*t[5])/3 + (171*t[6])/32 + 
       (23*t[7])/24 + (55*t[8])/24 + (11*t[9])/3 + (91*t[10])/64 + 
       (1223*t[11])/96 - (125*t[12])/64 + (1915*t[13])/864 + 
       (9257*t[14])/1152 - (487*t[15])/576 + t[16]/24 + t[25] - (7*t[26])/4 + 
       (2*t[27])/3 + t[28] + t[30] + (5*t[31])/6 - t[34]/6 - (3*t[35])/2 - 
       (19*t[36])/6 + (2*t[37])/3 + (11*t[38])/12 + t[39] - (5*t[40])/6 + 
       t[41]/12 - t[42]/12 + t[43]/2 - t[44]/2 + (13*t[45])/12 + 
       (43*t[46])/24 - (13*t[47])/6 + (55*t[48])/32 - (103*t[49])/64 + 
       (37*t[50])/96 - (1081*t[51])/384 + (59*t[52])/96 - (347*t[53])/192 - 
       (19*t[54])/4 + t[58]/3 - (29*t[59])/24 + (423*t[60])/32 + 
       (499*t[61])/32 - (1573*t[62])/192 - (2539*t[63])/192 + 
       (337*t[64])/192 - (293*t[65])/32 - (5939*t[66])/288 - t[67]/24 - 
       (11*t[69])/12 - t[72]/2 + t[73]/2 + (7*t[74])/2 - (10*t[75])/3 - 
       (5*t[76])/3 + (11*t[77])/12 + (7*t[78])/6 + (10*t[79])/3 - 4*t[80] + 
       (9*t[81])/8 - (13*t[82])/8 + (19*t[83])/8 + (165*t[84])/32 + 
       (161*t[85])/96 - 5*t[86] + (71*t[87])/96 + (93*t[88])/64 + 
       (935*t[89])/192 - (3*t[95])/2 - (2*t[96])/3 - t[97]/4 - 14*t[98] + 
       19*t[99] - (83*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((29*t[1])/6 + (29*t[2])/6 + 
       (19*t[3])/6 - (397*t[4])/6 + (23*t[5])/12 + t[6] - (35*t[7])/6 - 
       (91*t[8])/6 + (181*t[9])/12 + (193*t[10])/6 - (311*t[11])/6 - 
       (203*t[12])/12 - (7577*t[13])/108 + (67*t[14])/72 - (103*t[15])/24 - 
       10*t[25] + (11*t[26])/3 - (2*t[27])/3 + 2*t[28] + 6*t[30] + 
       (20*t[31])/3 - t[34]/3 - 4*t[35] + 2*t[36] + (2*t[37])/3 + 
       (19*t[38])/3 + 4*t[39] - (5*t[40])/3 + t[41]/6 - t[42]/6 + 3*t[43] + 
       (8*t[45])/3 + 7*t[46] - (16*t[47])/3 - 2*t[48] + (52*t[49])/3 + 
       (31*t[50])/3 - (367*t[51])/24 - (4*t[52])/3 + (13*t[53])/3 + 
       11*t[54] - t[58]/3 - (25*t[59])/6 - (2497*t[60])/24 - (275*t[61])/8 + 
       (2689*t[62])/48 + (11527*t[63])/48 + (1237*t[64])/16 + (367*t[65])/8 + 
       (9175*t[66])/72 - t[69] - (2*t[70])/3 + (2*t[71])/3 - 6*t[72] + 
       6*t[73] - (44*t[74])/3 - 16*t[75] + (49*t[76])/3 - (2*t[77])/3 - 
       (70*t[78])/3 + 8*t[79] - (16*t[80])/3 + (25*t[81])/3 + 2*t[82] + 
       (95*t[83])/6 + (35*t[84])/8 + (377*t[85])/24 - 18*t[86] - 
       (117*t[87])/8 - (421*t[88])/16 + (41*t[89])/48 + (52*t[95])/3 + 
       (26*t[96])/3 - (4*t[97])/3 + 96*t[98] - 88*t[99] - 20*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-107*t[1])/36 + (415*t[2])/144 - (68*t[3])/9 - (18311*t[4])/576 - 
       (77*t[5])/6 + (5785*t[6])/288 + (10*t[7])/3 + 18*t[8] + 
       (475*t[9])/48 - (7411*t[10])/1152 - (491*t[11])/18 + 
       (13433*t[12])/1152 - (37915*t[13])/1728 + (57541*t[14])/6912 + 
       (6935*t[15])/1152 + t[19] - t[20] - t[21] + t[23] - (5*t[25])/9 + 
       (169*t[26])/36 - (7*t[27])/9 - (41*t[28])/12 + (5*t[30])/6 + 
       (22*t[31])/9 + (11*t[34])/36 + (41*t[35])/6 - (19*t[36])/12 - 
       (151*t[37])/36 - (131*t[38])/36 + (7*t[39])/9 - (20*t[40])/9 - 
       (11*t[41])/72 + (11*t[42])/72 + (5*t[43])/12 + (41*t[44])/12 + 
       (29*t[45])/36 - (17*t[46])/36 - (29*t[47])/18 + (647*t[48])/96 - 
       (2147*t[49])/384 + (245*t[50])/32 - (3193*t[51])/2304 - 
       (23*t[52])/96 + (601*t[53])/128 + (863*t[54])/64 + (29*t[58])/36 + 
       (95*t[59])/72 + (359*t[60])/576 + (24355*t[61])/576 + 
       (112529*t[62])/1152 + (88295*t[63])/1152 - (209485*t[64])/1152 + 
       (350707*t[65])/1728 + (323489*t[66])/1728 + t[68]/6 + (41*t[70])/18 - 
       (41*t[71])/18 - (29*t[72])/9 + 5*t[73] + (11*t[74])/6 + 13*t[75] - 
       (235*t[76])/18 - (31*t[77])/36 + (307*t[78])/9 + t[79] - 
       (379*t[80])/18 - 2*t[81] - (157*t[82])/18 - (881*t[83])/36 + 
       (26659*t[84])/576 + (643*t[85])/576 - (73*t[86])/3 - 
       (11215*t[87])/576 + (1499*t[88])/384 + (13345*t[89])/1152 - t[90]/6 + 
       (31*t[95])/6 - (43*t[96])/9 - (29*t[97])/6 - (274*t[98])/3 + 
       115*t[99] - 20*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - v]*((-13*t[1])/9 - (5*t[2])/4 + (955*t[3])/144 - 
       (121*t[4])/72 + (1747*t[5])/288 - (223*t[6])/24 + (103*t[7])/32 - 
       (1165*t[8])/288 - (511*t[9])/96 - (313*t[10])/32 + (11*t[11])/144 - 
       (631*t[12])/288 - (4831*t[13])/864 - (11341*t[14])/1728 - 
       (4745*t[15])/1728 - (5*t[25])/36 + (7*t[26])/12 - t[27]/4 - 2*t[28] - 
       2*t[31] + t[34]/2 + 2*t[35] - t[36]/2 - t[37]/8 - (17*t[38])/18 - 
       2*t[39] + 3*t[40] - t[41]/4 + t[42]/4 - 2*t[45] - (245*t[46])/48 + 
       4*t[47] - (67*t[48])/24 + (1099*t[49])/144 - (37*t[50])/36 + 
       (2699*t[51])/576 - (53*t[52])/36 - (595*t[53])/144 + (25*t[54])/144 - 
       t[58]/2 + (37*t[59])/48 - (21*t[60])/4 - (269*t[61])/144 - 
       (163*t[62])/8 + (767*t[63])/36 + (6965*t[64])/288 - (13*t[65])/2 + 
       (755*t[66])/72 + (2*t[69])/3 + (5*t[70])/12 - (5*t[71])/12 + t[72]/2 + 
       (19*t[73])/12 - (19*t[74])/8 - (3*t[75])/4 + (11*t[76])/4 - 2*t[77] - 
       4*t[78] - (11*t[79])/8 + (13*t[80])/2 - (37*t[81])/24 + 
       (73*t[82])/24 + (109*t[83])/72 - (145*t[84])/36 + (25*t[85])/144 + 
       (2189*t[86])/72 - (32*t[87])/3 - (61*t[88])/12 - (853*t[89])/48 + 
       t[97]/2 + 24*t[98] - 24*t[99] - (233*t[100])/12) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2*((-23*t[1])/12 - (47*t[2])/48 - 
       t[3]/12 + (37*t[4])/192 + (203*t[5])/48 - (175*t[6])/32 + 
       (13*t[7])/24 - (7*t[8])/6 - (77*t[9])/48 - (173*t[10])/384 + 
       (223*t[11])/96 + (467*t[12])/384 - (2555*t[13])/1728 + 
       (12353*t[14])/2304 + (1187*t[15])/1152 + (5*t[26])/3 - t[27]/6 - 
       (3*t[28])/4 + t[30]/4 + (11*t[31])/12 - t[34]/3 + (3*t[35])/2 + 
       t[36] + (2*t[37])/3 - (5*t[38])/3 + t[39]/2 + (7*t[40])/12 + t[41]/6 - 
       t[42]/6 + t[43]/8 + (3*t[44])/4 + t[45]/6 - t[46]/4 - t[47]/3 - 
       (35*t[48])/32 + (1781*t[49])/384 - (217*t[50])/96 - (1913*t[51])/768 + 
       (73*t[52])/96 - (757*t[53])/384 - (15*t[54])/64 - t[58]/3 + 
       (29*t[59])/24 - (607*t[60])/192 + (3163*t[61])/192 - 
       (4631*t[62])/384 + (5543*t[63])/384 - (2179*t[64])/128 - 
       (709*t[65])/64 - (7603*t[66])/576 - t[69]/2 - t[70]/6 + t[71]/6 - 
       t[72] - t[73] - t[74]/4 + t[75]/2 + (59*t[76])/12 - (5*t[77])/12 - 
       (20*t[78])/3 - (15*t[79])/4 + 4*t[80] + (29*t[81])/24 + 
       (13*t[82])/24 + (19*t[83])/12 - (315*t[84])/64 - (85*t[85])/192 + 
       (5*t[86])/4 - (1963*t[87])/192 - (1049*t[88])/128 - (839*t[89])/128 + 
       t[95] + (8*t[96])/3 + (5*t[97])/4 + 29*t[98] - 25*t[99] - 
       (73*t[100])/4) + D28[w, u, v]*(-t[3]/2 - (5*t[5])/4 + (3*t[6])/8 + 
       t[7]/2 + (3*t[8])/2 + (7*t[9])/4 - t[10] + (11*t[11])/8 + t[12]/2 + 
       (5*t[13])/2 + (7*t[14])/4 - t[15]/8 + t[25] - t[26] + 2*t[36] + 
       t[46]/2 + (3*t[48])/8 - (5*t[50])/8 + (3*t[51])/8 + (5*t[52])/8 + 
       (5*t[54])/8 + (11*t[60])/4 + (19*t[61])/2 - (7*t[62])/8 - 
       (71*t[63])/8 + (19*t[64])/4 - t[65]/3 - (31*t[66])/3 - 2*t[74] + 
       t[81]/2 - t[82]/2 + t[84]/2 + t[85]/4 - (5*t[87])/4 - (5*t[88])/8 - 
       t[89] - 18*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-3*t[3])/2 - (27*t[4])/2 - 3*t[5] + 
       (9*t[6])/8 + (3*t[7])/4 + (15*t[8])/4 + (9*t[9])/2 - (27*t[10])/2 + 
       (93*t[11])/8 + (3*t[12])/4 + 13*t[13] + (13*t[14])/8 - t[15]/4 + 
       3*t[25] - 3*t[26] - 3*t[37] + (21*t[46])/2 + (9*t[48])/8 - 
       (33*t[49])/2 - (15*t[50])/8 - (51*t[51])/8 + (15*t[52])/8 + 9*t[53] + 
       (21*t[54])/8 - (5*t[59])/2 - (15*t[60])/4 + 18*t[61] - (39*t[62])/8 - 
       (81*t[63])/8 + (135*t[64])/4 + (21*t[65])/4 - (129*t[66])/4 - 
       6*t[69] + 3*t[70] - 3*t[71] - 3*t[73] + 3*t[74] - 3*t[75] + 3*t[79] + 
       (3*t[81])/2 - (3*t[82])/2 + (9*t[83])/2 + (3*t[84])/4 - 3*t[86] + 
       (69*t[87])/4 + (69*t[88])/8 + (81*t[89])/8 - 18*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - w]*((-3*t[3])/2 - (7*t[4])/2 - 
       3*t[5] + (9*t[6])/8 + (9*t[7])/4 + (21*t[8])/4 + (9*t[9])/2 - 
       (57*t[10])/4 + (109*t[11])/8 - (11*t[12])/2 + (33*t[13])/2 + 
       (14*t[14])/3 - (7*t[15])/3 + 3*t[25] - 3*t[26] - 3*t[37] + 
       (21*t[46])/2 + (9*t[48])/8 - (65*t[49])/4 - (15*t[50])/8 - 9*t[51] + 
       (15*t[52])/8 + (19*t[53])/4 + t[54]/8 - (11*t[59])/2 + (21*t[60])/4 + 
       (41*t[61])/2 - (107*t[62])/8 - (117*t[63])/8 + 23*t[64] + t[65]/12 - 
       (175*t[66])/4 - 8*t[69] + 4*t[70] - 4*t[71] - 3*t[73] + 3*t[74] - 
       7*t[75] + 3*t[79] + (3*t[81])/2 - (3*t[82])/2 + 8*t[83] + 
       (13*t[84])/4 + (5*t[85])/2 + 3*t[86] + (49*t[87])/4 + (49*t[88])/8 + 
       (93*t[89])/8 - 18*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*(-39*t[1] - 87*t[3] + (1533*t[4])/4 - 
       (399*t[5])/2 + (357*t[6])/4 - (273*t[7])/4 + 102*t[8] + (459*t[9])/2 + 
       (1635*t[10])/4 - (2037*t[11])/8 - (339*t[12])/4 - (5413*t[13])/48 + 
       (2227*t[14])/16 - (405*t[15])/4 + 3*t[22] + 3*t[26] - 3*t[32] + 
       9*t[36] - 3*t[38] - 87*t[43] - (141*t[45])/4 + (123*t[47])/2 + 
       (9*t[48])/8 + (105*t[49])/2 + (9*t[50])/8 - (1077*t[51])/16 - 
       (9*t[52])/8 - 66*t[53] - (855*t[54])/8 - (69*t[59])/2 + 
       (1821*t[60])/4 - 558*t[61] + (2235*t[62])/8 - (2031*t[63])/8 - 
       (8667*t[64])/8 - (1741*t[65])/12 + (2485*t[66])/4 - 6*t[69] - 
       12*t[73] + 3*t[74] - 36*t[75] - 78*t[77] + 12*t[79] - 339*t[80] - 
       (3*t[81])/2 - (69*t[82])/2 + 21*t[83] + (423*t[84])/4 + 
       (207*t[85])/2 - (39*t[86])/2 - 171*t[87] - 81*t[88] + (975*t[89])/8 - 
       6*t[95] - 18*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (4*t[1] - (1089*t[3])/8 + (1461*t[4])/4 - (1653*t[5])/8 + 366*t[6] - 
       (1299*t[7])/4 + (1683*t[8])/2 + (975*t[9])/8 + (309*t[10])/4 - 
       (567*t[11])/2 - (689*t[12])/8 + (285*t[13])/4 + (3515*t[14])/16 - 
       (1023*t[15])/8 - 12*t[26] + 72*t[29] + 6*t[30] - 6*t[34] - 3*t[36] - 
       27*t[37] + 12*t[38] - 18*t[39] + 15*t[40] - 126*t[44] + 15*t[46] + 
       (759*t[48])/4 + 27*t[49] - (903*t[50])/4 - (849*t[51])/16 + 
       (903*t[52])/4 - 102*t[53] + (1011*t[54])/4 + 12*t[59] + 693*t[60] - 
       (1135*t[61])/4 + (2479*t[62])/8 - (5139*t[63])/8 - 471*t[64] - 
       (1825*t[65])/12 + (439*t[66])/12 + 24*t[69] - 12*t[70] + 12*t[71] - 
       12*t[73] + 33*t[74] - 36*t[75] - 45*t[76] + 60*t[78] + 30*t[79] + 
       (153*t[81])/2 - (9*t[82])/2 + 24*t[83] + (603*t[84])/4 + 186*t[85] - 
       90*t[86] - (375*t[87])/2 - (357*t[88])/4 + (789*t[89])/2 - 6*t[95] - 
       18*t[100]) + HPL[{0, 1}, 1 - u]*M1[v, u, w]*(t[1]/12 - (25*t[2])/6 + 
       (5*t[3])/6 + (401*t[4])/24 + (19*t[5])/4 - (25*t[6])/12 - 
       (13*t[7])/4 - (31*t[8])/4 + t[9]/4 - (173*t[10])/48 + (269*t[11])/12 - 
       (53*t[12])/48 + (133*t[13])/8 - (199*t[14])/288 + t[15]/48 + t[19] - 
       t[20] - t[21] + t[22] + t[23] + (4*t[25])/3 - (8*t[26])/3 - t[27]/3 - 
       t[30] - (5*t[31])/3 + t[34]/6 - t[36] - t[37]/3 + (5*t[38])/6 - 
       t[39]/6 + (5*t[40])/6 - (7*t[41])/12 + (7*t[42])/12 - t[43]/2 + 
       (2*t[45])/3 + t[46]/3 - (4*t[47])/3 - (9*t[48])/4 - (77*t[49])/16 - 
       (3*t[50])/4 + (199*t[51])/96 - (7*t[52])/4 - (11*t[53])/16 - 
       (71*t[54])/8 - t[58]/3 + t[59]/3 + (823*t[60])/24 + (197*t[61])/24 - 
       (431*t[62])/48 - (1049*t[63])/48 - (743*t[64])/48 - (403*t[65])/72 - 
       (1595*t[66])/72 + (4*t[70])/3 - (4*t[71])/3 + (4*t[72])/3 + t[74] + 
       (5*t[76])/6 + (2*t[77])/3 - (5*t[78])/3 + t[80]/3 + 3*t[81] - 
       (5*t[82])/3 - (2*t[83])/3 + (221*t[84])/24 + (59*t[85])/24 - 4*t[86] - 
       (287*t[87])/24 + (11*t[88])/16 + (5*t[89])/48 - 2*t[95] - 
       (7*t[96])/3 + t[97] - 4*t[98] - 18*t[100]) + 
     HPL[{0, 1}, 1 - u]*M1[u, v, w]*((2*t[1])/3 + (23*t[2])/12 - 
       (19*t[3])/3 - (247*t[4])/48 - (165*t[5])/16 + (739*t[6])/48 + 
       (15*t[7])/4 + (75*t[8])/4 + (101*t[9])/16 + (187*t[10])/96 - 
       (299*t[11])/48 - (107*t[12])/96 - (79*t[13])/16 + (5117*t[14])/576 + 
       (37*t[15])/18 + t[19] - t[20] - t[21] + t[23] - t[25]/3 + 
       (7*t[26])/6 - (2*t[27])/3 - t[28] + (2*t[31])/3 - t[34]/6 + 2*t[35] - 
       t[36]/2 - (19*t[37])/6 - t[38]/3 + (2*t[39])/3 - (4*t[40])/3 + 
       t[41]/12 - t[42]/12 + 2*t[44] + (5*t[45])/6 - (4*t[46])/3 - 
       (5*t[47])/3 + (101*t[48])/16 + (95*t[49])/32 + (37*t[50])/16 - 
       (341*t[51])/192 + (35*t[52])/16 - (79*t[53])/32 + (37*t[54])/8 + 
       t[58]/3 + t[59]/6 - (101*t[60])/48 + (821*t[61])/48 + (703*t[62])/96 + 
       (361*t[63])/96 - (563*t[64])/96 + (2543*t[65])/144 + 
       (1657*t[66])/144 - t[70]/3 + t[71]/3 - (4*t[72])/3 + 2*t[73] - 
       t[74]/2 - 2*t[75] - (29*t[76])/6 - (7*t[77])/6 + (67*t[78])/6 - 
       (37*t[80])/3 + (3*t[81])/4 - (37*t[82])/12 - (4*t[83])/3 + 
       (311*t[84])/48 - (19*t[85])/48 - t[86] + (835*t[87])/48 + 
       (241*t[88])/32 + (905*t[89])/96 - t[95] - (5*t[96])/3 - 2*t[97] - 
       32*t[98] + 42*t[99] - 18*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((-7*t[1])/3 + t[3]/2 + (177*t[4])/8 + 
       (49*t[5])/24 - (11*t[6])/8 + (7*t[7])/6 - (11*t[8])/6 - (61*t[9])/24 + 
       (413*t[10])/48 + (83*t[11])/8 - (653*t[12])/48 + (85*t[13])/72 + 
       (1783*t[14])/288 - (131*t[15])/72 + (7*t[26])/3 + t[27] - 3*t[36] - 
       (7*t[38])/3 + (5*t[48])/8 + (61*t[49])/16 + (13*t[50])/8 - 
       (799*t[51])/96 - (13*t[52])/8 - (121*t[53])/16 - (44*t[54])/3 + 
       (7*t[59])/6 + (701*t[60])/24 + (433*t[61])/24 - (271*t[62])/48 - 
       (313*t[63])/48 - (511*t[64])/16 - (289*t[65])/24 + (839*t[66])/72 - 
       (10*t[73])/3 + (17*t[74])/3 - (34*t[75])/3 + (8*t[79])/3 - 
       (11*t[81])/6 + (11*t[82])/6 + (46*t[83])/3 + (277*t[84])/24 + 
       (259*t[85])/24 + (8*t[86])/3 - (349*t[87])/24 - (245*t[88])/48 + 
       (679*t[89])/48 - (16*t[95])/3 - (35*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      (-2*t[1] + (5*t[2])/6 - (8*t[3])/3 - (17*t[4])/4 - (61*t[5])/16 + 
       (149*t[6])/12 - (35*t[7])/8 + (133*t[8])/8 + (77*t[9])/16 - 
       (31*t[10])/8 - (131*t[11])/24 + (149*t[12])/48 + (67*t[13])/36 + 
       (52*t[14])/9 - (59*t[15])/288 + (4*t[25])/3 + (2*t[26])/3 - 
       (4*t[27])/3 - 2*t[28] - 2*t[30] - (2*t[31])/3 + (2*t[34])/3 + 
       4*t[35] - t[36]/6 - (10*t[37])/3 - 2*t[38] + (4*t[39])/3 - 
       (2*t[40])/3 - t[41]/3 + t[42]/3 - t[43] + 2*t[44] + (2*t[45])/3 - 
       (11*t[46])/24 - (4*t[47])/3 + (23*t[48])/4 - (31*t[49])/8 - t[50]/4 + 
       (11*t[51])/48 + (9*t[52])/4 - (11*t[53])/6 + (7*t[54])/4 + 
       (2*t[58])/3 + (43*t[60])/4 + (125*t[61])/12 + (223*t[62])/24 - 
       (121*t[63])/12 - (81*t[64])/8 + (1097*t[65])/36 + (277*t[66])/36 - 
       (5*t[69])/3 + (4*t[70])/3 - (4*t[71])/3 - (8*t[72])/3 + (17*t[73])/6 - 
       (2*t[74])/3 - (7*t[75])/2 - (14*t[76])/3 + (2*t[77])/3 + 
       (28*t[78])/3 + (7*t[79])/6 - (32*t[80])/3 + (7*t[81])/3 - 3*t[82] - 
       (8*t[83])/3 + (65*t[84])/6 + (7*t[85])/3 - (11*t[86])/2 + 
       (205*t[87])/12 + (385*t[88])/24 + (319*t[89])/24 - (8*t[95])/3 - 
       (16*t[96])/3 - 2*t[97] - 40*t[98] + 48*t[99] - (35*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((9*t[1])/4 + (88*t[2])/3 - (781*t[3])/24 + (223*t[4])/24 - 
       (239*t[5])/48 + (69*t[6])/4 + (142*t[7])/3 + (607*t[8])/4 + 
       (1333*t[9])/48 - (225*t[10])/16 + (601*t[11])/24 + (63*t[12])/4 + 
       (1307*t[13])/216 - (2419*t[14])/288 + (33349*t[15])/864 - 
       (14*t[17])/3 - (2*t[19])/3 - 22*t[20] - 6*t[21] + (70*t[22])/3 + 
       6*t[23] - (20*t[24])/3 - 2*t[26] + (44*t[27])/3 - 18*t[28] - 
       (59*t[29])/3 - (64*t[30])/3 - 6*t[31] + (149*t[32])/6 - (62*t[33])/3 - 
       (61*t[34])/6 + 2*t[35] + 6*t[36] - 12*t[37] + (8*t[38])/3 + t[39] - 
       (16*t[40])/3 - (49*t[41])/12 + (49*t[42])/12 - (43*t[43])/24 - 
       (83*t[44])/6 - 8*t[45] - (2*t[46])/3 + (113*t[47])/6 + (14*t[48])/3 - 
       (515*t[49])/16 + (41*t[50])/6 + (881*t[51])/96 - (43*t[52])/3 + 
       (339*t[53])/16 - (3*t[54])/8 + t[55]/3 + (7*t[56])/3 + (10*t[57])/3 + 
       (10*t[59])/3 + (61*t[60])/8 + (167*t[61])/24 + (1843*t[62])/48 - 
       (5195*t[63])/48 - (1967*t[64])/16 + (9149*t[65])/72 + 
       (11825*t[66])/72 + (40*t[68])/3 + (28*t[70])/3 - (28*t[71])/3 - 
       15*t[72] - 6*t[73] + 6*t[74] - 2*t[75] - (115*t[76])/6 + 3*t[77] + 
       (31*t[78])/3 + 33*t[79] + 6*t[80] - (35*t[81])/2 + (187*t[82])/6 - 
       7*t[83] + (185*t[84])/8 - (41*t[85])/24 + (313*t[86])/6 + 
       (1553*t[87])/24 + (3337*t[88])/48 + (1085*t[89])/48 + t[91]/6 - 
       2*t[93] - 8*t[95] - 4*t[96] + (5*t[97])/3 - 48*t[98] + 64*t[99] - 
       17*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-34*t[1])/3 + (181*t[2])/4 - (101*t[3])/24 + 
       (819*t[4])/8 - (263*t[5])/12 + (323*t[6])/16 - (67*t[7])/2 - 
       (473*t[8])/12 + t[9]/24 + (4057*t[10])/48 - (745*t[11])/48 + 
       (29*t[12])/48 + (149*t[13])/24 + (19843*t[14])/288 + 
       (10861*t[15])/432 + (2*t[16])/3 - (7*t[17])/3 - (16*t[18])/3 + 
       4*t[19] + 2*t[20] + (2*t[21])/3 + (4*t[22])/3 + 2*t[23] - 
       (32*t[24])/3 + 13*t[25] + 4*t[26] + 8*t[27] + 4*t[28] + (31*t[29])/6 + 
       (47*t[30])/3 + 6*t[31] - t[32]/3 - 5*t[33] - 11*t[34] - 8*t[35] - 
       (8*t[36])/3 - 8*t[37] - (11*t[38])/6 + 7*t[39] + (5*t[40])/2 + 
       (11*t[41])/2 - (11*t[42])/2 - (9*t[43])/4 + (53*t[44])/12 - 
       (139*t[45])/6 + (22*t[46])/3 - (33*t[47])/2 - (521*t[48])/48 + 
       (71*t[49])/48 - (31*t[50])/16 - (419*t[51])/32 + (95*t[52])/16 - 
       (535*t[53])/48 - (785*t[54])/48 + t[56] - 2*t[57] - t[58] + 
       (43*t[59])/4 + (847*t[60])/6 + (91*t[61])/2 + (333*t[62])/4 + 
       (235*t[63])/4 - (2177*t[64])/6 - (2363*t[65])/18 + (183*t[66])/2 + 
       (7*t[67])/3 - (4*t[68])/3 + 10*t[69] + 16*t[70] - 16*t[71] - 
       18*t[72] - 2*t[73] + (50*t[74])/3 + 14*t[75] - (101*t[76])/6 + 
       15*t[77] + (82*t[78])/3 - 20*t[79] - 21*t[80] + (19*t[81])/6 - 
       (71*t[82])/6 - 21*t[83] + 14*t[84] - (5*t[85])/3 - (271*t[86])/3 - 
       (95*t[87])/2 - (19*t[88])/4 + t[89]/6 + (2*t[90])/3 - (2*t[92])/3 - 
       (8*t[94])/3 - 4*t[95] - 4*t[96] + (11*t[97])/6 - 48*t[98] + 64*t[99] - 
       17*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 
       1 - v]*(-t[1]/3 + (151*t[4])/12 + (5*t[5])/12 - t[6] + (55*t[7])/6 - 
       (41*t[8])/6 - (5*t[9])/12 + (173*t[10])/12 - (113*t[11])/12 - 
       (131*t[12])/6 - (167*t[13])/9 + (49*t[14])/4 + (5*t[15])/8 + t[26]/3 - 
       (2*t[36])/3 - t[38]/3 - t[46] + t[48] + (137*t[49])/12 + t[50] - 
       10*t[51] - t[52] - (173*t[53])/12 - (25*t[54])/12 + t[59]/6 - 
       (23*t[60])/3 + (95*t[61])/3 - (43*t[62])/3 + (241*t[63])/6 - 
       (123*t[64])/4 - (739*t[65])/36 + (161*t[66])/12 - 2*t[73] + 
       (8*t[74])/3 - 10*t[75] + 2*t[79] - (4*t[81])/3 + (4*t[82])/3 + 
       (40*t[83])/3 - (35*t[84])/12 - (11*t[85])/12 + (14*t[86])/3 - 
       (29*t[87])/4 - (35*t[88])/24 - (20*t[89])/3 - (16*t[95])/3 - 
       16*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*(-t[1]/3 + (247*t[4])/12 + (5*t[5])/12 + t[6] + 
       (7*t[7])/6 + (7*t[8])/6 - (5*t[9])/12 + (77*t[10])/12 + 
       (127*t[11])/12 - (83*t[12])/6 + t[13]/9 + (57*t[14])/4 - 
       (113*t[15])/24 + t[26]/3 - (2*t[36])/3 - t[38]/3 - t[46] + t[48] + 
       (41*t[49])/12 + t[50] - 6*t[51] - t[52] - (77*t[53])/12 - 
       (121*t[54])/12 + t[59]/6 + (73*t[60])/3 + (71*t[61])/3 - 
       (67*t[62])/3 + t[63]/6 - (139*t[64])/4 - (739*t[65])/36 - 
       (69*t[66])/4 - 2*t[73] + (8*t[74])/3 - 10*t[75] + 2*t[79] - 
       (4*t[81])/3 + (4*t[82])/3 + (40*t[83])/3 + (109*t[84])/12 + 
       (85*t[85])/12 + (14*t[86])/3 - (61*t[87])/4 - (131*t[88])/24 - 
       (8*t[89])/3 - (16*t[95])/3 - 16*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (-t[1]/3 + (247*t[4])/12 + (5*t[5])/12 + t[6] + (7*t[7])/6 + 
       (7*t[8])/6 - (5*t[9])/12 + (77*t[10])/12 + (127*t[11])/12 - 
       (83*t[12])/6 + t[13]/9 + (57*t[14])/4 - (113*t[15])/24 + t[26]/3 - 
       (2*t[36])/3 - t[38]/3 - t[46] + t[48] + (41*t[49])/12 + t[50] - 
       6*t[51] - t[52] - (77*t[53])/12 - (121*t[54])/12 + t[59]/6 + 
       (73*t[60])/3 + (71*t[61])/3 - (67*t[62])/3 + t[63]/6 - (139*t[64])/4 - 
       (739*t[65])/36 - (69*t[66])/4 - 2*t[73] + (8*t[74])/3 - 10*t[75] + 
       2*t[79] - (4*t[81])/3 + (4*t[82])/3 + (40*t[83])/3 + (109*t[84])/12 + 
       (85*t[85])/12 + (14*t[86])/3 - (61*t[87])/4 - (131*t[88])/24 - 
       (8*t[89])/3 - (16*t[95])/3 - 16*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      (-t[1]/3 + (151*t[4])/12 + (5*t[5])/12 + 7*t[6] + (7*t[7])/6 + 
       (7*t[8])/6 - (5*t[9])/12 - (67*t[10])/12 - (17*t[11])/12 - 
       (131*t[12])/6 + (25*t[13])/9 + (283*t[14])/12 - (27*t[15])/8 + 
       8*t[19] + t[26]/3 - (2*t[36])/3 - t[38]/3 - t[46] + t[48] - 
       (7*t[49])/12 + t[50] - 4*t[51] - t[52] - (29*t[53])/12 - 
       (25*t[54])/12 - (35*t[59])/6 + (49*t[60])/3 + (137*t[61])/3 - 
       (79*t[62])/3 + (25*t[63])/6 - (171*t[64])/4 - (355*t[65])/36 - 
       (21*t[66])/4 - 16*t[69] - 4*t[71] - 2*t[73] + (8*t[74])/3 - 10*t[75] + 
       2*t[79] - (4*t[81])/3 + (4*t[82])/3 + (40*t[83])/3 + (157*t[84])/12 - 
       (11*t[85])/12 + (14*t[86])/3 - (29*t[87])/4 - (35*t[88])/24 - 
       (8*t[89])/3 - (16*t[95])/3 - 16*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      (-t[1]/3 - (23*t[4])/12 - t[5]/3 + t[6]/4 + (7*t[7])/6 + (7*t[8])/6 + 
       t[9]/3 + (89*t[10])/12 - (7*t[11])/6 - (97*t[12])/12 - 
       (139*t[13])/18 + (251*t[14])/24 - (7*t[15])/6 + t[26]/3 + 
       (4*t[36])/3 - t[38]/3 - t[46] + t[48]/4 + (35*t[49])/12 + t[50]/4 - 
       (11*t[51])/8 - t[52]/4 - (35*t[53])/12 + (13*t[54])/6 + t[59]/6 - 
       (61*t[60])/6 + (65*t[61])/3 - (58*t[62])/3 + (151*t[63])/6 - 
       (27*t[64])/4 - (397*t[65])/36 - (145*t[66])/12 - 2*t[73] + 
       (2*t[74])/3 - 10*t[75] + 2*t[79] - t[81]/3 + t[82]/3 + (40*t[83])/3 - 
       (29*t[84])/12 - (35*t[85])/12 + (14*t[86])/3 - (25*t[87])/4 - 
       (71*t[88])/24 - (155*t[89])/12 - (4*t[95])/3 - 16*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      (-t[1]/3 - (23*t[4])/12 - t[5]/3 + t[6]/4 + (7*t[7])/6 + (7*t[8])/6 + 
       t[9]/3 + (89*t[10])/12 - (7*t[11])/6 - (97*t[12])/12 - 
       (139*t[13])/18 + (251*t[14])/24 - (7*t[15])/6 + t[26]/3 + 
       (4*t[36])/3 - t[38]/3 - t[46] + t[48]/4 + (35*t[49])/12 + t[50]/4 - 
       (11*t[51])/8 - t[52]/4 - (35*t[53])/12 + (13*t[54])/6 + t[59]/6 - 
       (61*t[60])/6 + (65*t[61])/3 - (58*t[62])/3 + (151*t[63])/6 - 
       (27*t[64])/4 - (397*t[65])/36 - (145*t[66])/12 - 2*t[73] + 
       (2*t[74])/3 - 10*t[75] + 2*t[79] - t[81]/3 + t[82]/3 + (40*t[83])/3 - 
       (29*t[84])/12 - (35*t[85])/12 + (14*t[86])/3 - (25*t[87])/4 - 
       (71*t[88])/24 - (155*t[89])/12 - (4*t[95])/3 - 16*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-20*t[1])/3 - (9*t[2])/2 + (185*t[3])/12 - (1229*t[4])/24 + 
       (305*t[5])/24 - (89*t[6])/8 - 4*t[7] + (31*t[8])/6 - (123*t[9])/8 + 
       (221*t[10])/16 - (661*t[11])/24 + (113*t[12])/48 - (125*t[13])/3 + 
       (4895*t[14])/288 - (2633*t[15])/72 + (2*t[25])/3 + 2*t[26] - 5*t[37] - 
       (11*t[38])/3 + 6*t[39] - t[40] + (45*t[46])/2 - (55*t[48])/8 + 
       (65*t[49])/48 - (133*t[50])/24 - (5959*t[51])/96 - (11*t[52])/24 - 
       (1577*t[53])/48 - (253*t[54])/12 - t[58] - (689*t[60])/8 + 
       (85*t[61])/24 - (1029*t[62])/16 + (6223*t[63])/48 + (893*t[64])/48 - 
       (829*t[65])/24 - (183*t[66])/8 - (9*t[68])/2 - 42*t[72] + 27*t[73] + 
       5*t[74] - 105*t[75] + 21*t[76] + 4*t[77] - (41*t[78])/2 + 17*t[79] + 
       7*t[80] - (13*t[81])/2 + 21*t[82] + (214*t[83])/3 - (787*t[84])/24 + 
       (637*t[85])/24 + (71*t[86])/3 + (611*t[87])/8 + (611*t[88])/16 - 
       (349*t[89])/16 - (3*t[90])/2 - 6*t[93] + 3*t[97] + 144*t[98] - 
       144*t[99] - 16*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (2*t[1] - (11*t[2])/2 - 16*t[3] + (71*t[4])/24 + (151*t[5])/24 - 
       (183*t[6])/8 - (109*t[7])/12 - (11*t[8])/6 + (173*t[9])/24 - 
       (175*t[10])/48 + (67*t[11])/24 - (2905*t[12])/48 - (673*t[13])/72 + 
       (12137*t[14])/288 + (11*t[15])/4 - 4*t[19] + 9*t[27] - 6*t[31] - 
       2*t[34] + 5*t[36] + 4*t[37] + 3*t[39] - 3*t[40] + t[41] - t[42] + 
       (5*t[46])/2 + (9*t[48])/8 + (479*t[49])/48 - (111*t[50])/8 - 
       (363*t[51])/32 + (79*t[52])/8 - (335*t[53])/48 - (53*t[54])/4 + 
       (5*t[59])/2 + (1181*t[60])/24 + (1053*t[61])/8 - (1613*t[62])/48 - 
       (1067*t[63])/48 - (4181*t[64])/48 - (533*t[65])/72 - (599*t[66])/72 + 
       6*t[72] + 27*t[73] - 105*t[75] + 31*t[76] + 6*t[77] - 29*t[78] - 
       7*t[79] + 12*t[80] - (13*t[81])/2 - (39*t[82])/2 + (106*t[83])/3 - 
       (3*t[84])/8 + (115*t[85])/8 - (145*t[86])/3 + (325*t[87])/24 + 
       (325*t[88])/48 + (289*t[89])/16 + 7*t[96] + 5*t[97] + 144*t[98] - 
       144*t[99] - 16*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*((67*t[1])/24 + (179*t[2])/24 - 
       (53*t[3])/24 + (37*t[4])/8 - (137*t[5])/4 + (367*t[6])/16 - 
       (19*t[7])/4 - (76*t[8])/3 + (195*t[9])/8 - (631*t[10])/32 + 
       (115*t[11])/12 + (367*t[12])/96 + (37*t[13])/108 - (14473*t[14])/576 + 
       (25*t[15])/288 - (14*t[26])/3 + (10*t[27])/3 + 6*t[28] - 2*t[29] + 
       3*t[30] + (8*t[31])/3 - 2*t[32] + 2*t[33] + (41*t[34])/12 - 7*t[35] - 
       (89*t[36])/6 + (13*t[37])/6 + (11*t[38])/3 + (5*t[39])/4 - 
       (8*t[40])/3 - (41*t[41])/24 + (41*t[42])/24 + (3*t[43])/2 - 3*t[44] + 
       (19*t[45])/6 + 9*t[46] - (25*t[47])/3 + (13*t[48])/16 - 
       (3059*t[49])/96 + (775*t[50])/48 + (1813*t[51])/192 - (427*t[52])/48 + 
       (489*t[53])/32 - (485*t[54])/48 + (17*t[58])/12 - (67*t[59])/12 + 
       (2281*t[60])/48 - (2425*t[61])/48 + (1911*t[62])/32 - 
       (7937*t[63])/96 - (65*t[64])/32 + (713*t[65])/18 + (131*t[66])/9 + 
       (7*t[70])/3 - (7*t[71])/3 + t[72]/2 + (13*t[73])/2 + (28*t[74])/3 - 
       (9*t[75])/2 - (289*t[76])/12 + (7*t[77])/3 + (106*t[78])/3 + 
       (3*t[79])/2 - (51*t[80])/2 + (53*t[81])/12 - (167*t[82])/12 + 
       (23*t[83])/2 + (479*t[84])/12 + (337*t[85])/12 - (37*t[86])/6 + 
       (295*t[87])/24 + (853*t[88])/48 + (3067*t[89])/96 - (26*t[95])/3 - 
       (101*t[96])/6 - (35*t[97])/4 - 148*t[98] + 162*t[99] - 16*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-4*t[1])/3 + (11*t[3])/24 - (335*t[4])/12 + (437*t[5])/48 + 
       (41*t[6])/16 - (21*t[7])/8 + (107*t[8])/24 - (85*t[9])/16 - 
       (125*t[10])/8 - (79*t[11])/48 + (355*t[12])/48 + (697*t[13])/144 - 
       (283*t[14])/36 + (1265*t[15])/288 + (5*t[25])/6 - t[27]/2 + 7*t[36] - 
       (5*t[38])/6 + (19*t[46])/2 + (57*t[48])/16 - (263*t[49])/12 - 
       (73*t[50])/48 - t[51]/12 + (73*t[52])/48 + (47*t[53])/3 + 
       (337*t[54])/48 + t[59]/2 - (261*t[60])/8 + (491*t[61])/24 + 
       (293*t[62])/16 + (1205*t[63])/48 + (667*t[64])/48 + (335*t[65])/24 + 
       (245*t[66])/24 - t[69] + t[72] - 7*t[73] - 10*t[75] - (3*t[76])/2 + 
       8*t[79] + t[80] - t[81] + 2*t[82] + (73*t[83])/6 - (95*t[84])/24 - 
       (181*t[85])/24 - (74*t[86])/3 + (251*t[87])/8 + (219*t[88])/16 + 
       (73*t[89])/16 - (31*t[100])/2) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*(3*t[2] - t[3]/2 - (23*t[4])/2 + 
       (37*t[5])/4 - (11*t[6])/4 - 4*t[7] + 6*t[8] - (35*t[9])/4 + 40*t[10] - 
       (37*t[11])/4 + (45*t[12])/4 - (65*t[13])/12 + (65*t[14])/4 + 
       (161*t[15])/24 + 3*t[20] + 3*t[21] - 3*t[23] - 3*t[27] - 8*t[39] + 
       8*t[40] + (3*t[41])/2 - (3*t[42])/2 + (33*t[48])/4 - (11*t[49])/2 + 
       (29*t[50])/4 + (11*t[51])/4 - (17*t[52])/4 + (11*t[53])/2 + 
       (9*t[54])/4 - 14*t[60] + 57*t[61] - 25*t[62] + 62*t[63] + 
       (39*t[64])/2 - 16*t[65] - (4*t[66])/3 + 3*t[72] - 24*t[76] - 8*t[77] + 
       32*t[78] - 2*t[81] + 10*t[82] + 2*t[84] - 25*t[85] + 21*t[87] + 
       (21*t[88])/2 - (47*t[89])/2 - 144*t[98] + 192*t[99] - 15*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*((11*t[1])/2 - 3*t[2] - 
       (9*t[3])/4 - (3*t[4])/2 + (9*t[5])/8 + (39*t[6])/8 + (15*t[7])/4 + 
       (21*t[8])/4 + (9*t[9])/8 - (119*t[10])/4 + (165*t[11])/8 + 
       (71*t[12])/8 - (515*t[13])/24 - (5*t[14])/4 + (131*t[15])/16 - 
       3*t[20] - 3*t[21] + 3*t[23] - 3*t[31] - (3*t[41])/2 + (3*t[42])/2 + 
       (47*t[48])/8 - 7*t[49] + (35*t[50])/8 + (7*t[51])/2 - (59*t[52])/8 + 
       7*t[53] + (41*t[54])/8 + 7*t[59] - (103*t[60])/4 + (297*t[61])/4 - 
       (215*t[62])/8 + (227*t[63])/8 - (47*t[64])/8 + (83*t[65])/4 + 
       (277*t[66])/4 + 3*t[69] - 3*t[70] + 3*t[71] + 6*t[72] + (15*t[84])/4 - 
       (79*t[85])/4 + (97*t[87])/4 + (97*t[88])/8 - (181*t[89])/8 - 
       144*t[98] + 192*t[99] - 15*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]^3*((-43*t[1])/12 + t[2]/3 + (503*t[3])/96 - 
       (715*t[4])/48 + (2659*t[5])/192 - (3227*t[6])/192 + t[7]/32 - 
       (1687*t[8])/96 - (2165*t[9])/192 - (869*t[10])/96 + (293*t[11])/64 + 
       (63*t[12])/64 + (1247*t[13])/1728 - (3427*t[14])/576 + 
       (1597*t[15])/384 - t[16]/6 - t[25]/2 + 3*t[26] - t[27]/3 - 
       (4*t[28])/3 - (3*t[29])/4 - (7*t[30])/4 - (11*t[31])/6 - t[32]/2 + 
       t[33]/2 + (2*t[34])/3 + (7*t[35])/3 - (7*t[36])/6 - (11*t[37])/6 - 
       (25*t[38])/12 + t[39]/2 + (65*t[40])/24 - t[41]/3 + t[42]/3 + 
       (5*t[43])/16 + (35*t[44])/8 + (55*t[45])/48 + (7*t[46])/3 - 
       (67*t[47])/24 - (1199*t[48])/192 - (77*t[49])/48 - (83*t[50])/192 + 
       (55*t[51])/192 - (685*t[52])/192 + (101*t[53])/48 + (539*t[54])/192 - 
       (5*t[58])/6 + (17*t[59])/12 - (145*t[60])/32 - (289*t[61])/96 - 
       (49*t[62])/64 + (1521*t[63])/64 + (1175*t[64])/192 - 
       (1921*t[65])/288 + (397*t[66])/32 - t[68]/6 + t[69]/2 + (4*t[70])/3 - 
       (4*t[71])/3 + (7*t[72])/6 - (8*t[73])/3 + (16*t[74])/3 + 
       (19*t[75])/6 + (25*t[76])/4 - (7*t[77])/6 - (9*t[78])/2 - 
       (23*t[79])/3 + (101*t[80])/12 - (5*t[81])/2 + (14*t[82])/3 - 
       (13*t[83])/12 - (311*t[84])/96 - (95*t[85])/96 + (47*t[86])/24 - 
       (689*t[87])/96 - (155*t[88])/64 - (3029*t[89])/192 - t[91]/72 - 
       t[93]/6 + 2*t[95] + t[96]/6 + t[97] + 34*t[98] - 40*t[99] - 
       (44*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^3*
      ((21*t[1])/8 - (41*t[2])/12 - (235*t[3])/96 + (113*t[4])/16 - 
       (835*t[5])/192 + (47*t[6])/192 + (1117*t[7])/96 - (17*t[8])/96 + 
       (749*t[9])/192 + (31*t[10])/96 + (783*t[11])/64 - (377*t[12])/192 + 
       (1813*t[13])/1728 + (4615*t[14])/576 + (1745*t[15])/1152 - t[16]/12 + 
       t[25]/6 - (9*t[26])/4 - (4*t[27])/3 + (5*t[28])/3 + (3*t[29])/4 + 
       (3*t[30])/4 + (2*t[31])/3 + t[32]/2 - t[33]/2 - (19*t[34])/12 - 
       2*t[35] - (2*t[36])/3 + t[37]/2 + (5*t[38])/3 + (5*t[39])/12 - 
       (25*t[40])/24 + (19*t[41])/24 - (19*t[42])/24 + (11*t[43])/16 + 
       (5*t[44])/8 - (13*t[45])/16 - (2*t[46])/3 + (17*t[47])/8 - 
       (253*t[48])/192 + (181*t[49])/24 - (259*t[50])/64 - (179*t[51])/192 + 
       (147*t[52])/64 - (77*t[53])/24 + (353*t[54])/192 - t[58]/12 + 
       (5*t[59])/8 + (919*t[60])/96 + (2753*t[61])/96 - (1835*t[62])/64 - 
       (1807*t[63])/192 + (1585*t[64])/192 - (7831*t[65])/288 - 
       (5465*t[66])/288 + (4*t[68])/3 + t[70]/3 - t[71]/3 - t[72]/6 - 
       (8*t[73])/3 + t[74]/2 + (14*t[75])/3 + (11*t[76])/6 + (13*t[77])/6 - 
       (49*t[78])/12 + (2*t[79])/3 + (47*t[80])/4 - (31*t[81])/12 - 2*t[82] - 
       (5*t[83])/2 - (809*t[84])/96 - (383*t[85])/32 + (113*t[86])/24 - 
       (1435*t[87])/96 - (1211*t[88])/192 - (229*t[89])/64 + t[91]/72 - 
       t[93]/6 + 2*t[95] + (31*t[96])/6 + (13*t[97])/4 + 34*t[98] - 
       40*t[99] - (44*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      Omega2[w, u, v]*((-13*t[1])/2 + (7*t[2])/2 - (109*t[4])/8 - 
       (31*t[5])/8 + (183*t[6])/8 - 2*t[7] + 17*t[8] - (7*t[9])/8 + 
       (55*t[10])/16 - (211*t[11])/8 + (145*t[12])/16 - (131*t[13])/8 + 
       (1255*t[14])/96 - (91*t[15])/72 - t[25] + 8*t[26] - t[27] - 3*t[28] + 
       t[31] + t[34] + 4*t[35] - t[36] - 6*t[37] - 7*t[38] + t[39] - 
       t[41]/2 + t[42]/2 + 4*t[44] + 2*t[45] - (5*t[46])/2 - 4*t[47] + 
       (57*t[48])/8 - (19*t[49])/16 + (41*t[50])/8 - (139*t[51])/32 - 
       t[52]/8 - (53*t[53])/16 + (7*t[54])/4 + t[58] + 2*t[59] - 
       (37*t[60])/8 + (115*t[61])/8 + (331*t[62])/16 + (525*t[63])/16 - 
       (189*t[64])/16 + (851*t[65])/24 + (415*t[66])/8 + t[69] - 7*t[72] + 
       4*t[73] - 2*t[74] - 5*t[75] - 8*t[76] - 3*t[77] + 14*t[78] + 4*t[79] - 
       17*t[80] - (5*t[81])/2 + t[82]/2 - (7*t[83])/2 + (101*t[84])/8 + 
       (83*t[85])/8 - 6*t[86] + (177*t[87])/8 + (193*t[88])/16 + 
       (145*t[89])/16 - 4*t[95] - 6*t[96] - 4*t[97] - 48*t[98] + 64*t[99] - 
       14*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Omega2[v, w, u]*((8*t[1])/3 + (4*t[4])/3 + t[5]/6 + t[6]/4 + t[7]/6 + 
       t[8]/6 - t[9]/6 + (43*t[10])/6 - (5*t[11])/12 - (40*t[12])/3 - 
       (73*t[13])/18 + (241*t[14])/24 - (7*t[15])/4 - (8*t[26])/3 + 
       (4*t[36])/3 + (8*t[38])/3 - t[46]/2 + t[48]/4 + (11*t[49])/3 + 
       t[50]/4 - (17*t[51])/8 - t[52]/4 - (25*t[53])/6 + (5*t[54])/12 - 
       (4*t[59])/3 + (5*t[60])/6 + (44*t[61])/3 - (77*t[62])/6 + 
       (56*t[63])/3 - 8*t[64] - (115*t[65])/9 - 13*t[66] - 2*t[69] - 
       2*t[73] + (2*t[74])/3 - 6*t[75] + 2*t[79] - t[81]/3 + t[82]/3 + 
       (19*t[83])/3 - (2*t[84])/3 - (7*t[85])/6 + (2*t[86])/3 - 
       (13*t[87])/2 - (37*t[88])/12 - (107*t[89])/12 - (4*t[95])/3 - 
       13*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*((109*t[1])/6 - (3*t[2])/2 - (27*t[3])/2 + 
       (47*t[4])/6 + (7*t[5])/6 + (25*t[6])/2 + (25*t[7])/6 + (199*t[8])/6 - 
       (14*t[9])/3 + (86*t[10])/3 + (89*t[11])/6 - (203*t[12])/6 + 
       (25*t[13])/4 + (835*t[14])/24 - t[15]/4 - (41*t[26])/3 - 3*t[34] + 
       (10*t[36])/3 + (47*t[38])/3 + t[39] - 2*t[40] + (3*t[41])/2 - 
       (3*t[42])/2 + t[46] + 10*t[48] + (41*t[49])/3 - 6*t[50] - 
       (61*t[51])/8 + 9*t[52] - (35*t[53])/3 + (13*t[54])/6 + t[58] - 
       (41*t[59])/6 + (85*t[60])/3 + (229*t[61])/6 - (409*t[62])/12 - 
       (403*t[63])/12 + (49*t[64])/4 - (406*t[65])/9 - (197*t[66])/3 - 
       10*t[69] - 2*t[72] - 4*t[73] + (2*t[74])/3 + 4*t[75] + t[76] + 
       2*t[77] - 6*t[78] + 4*t[79] - 2*t[80] - (10*t[81])/3 - (8*t[82])/3 - 
       (41*t[83])/3 - (23*t[84])/3 - (97*t[85])/6 - (40*t[86])/3 + 
       (21*t[87])/2 + (59*t[88])/12 + (23*t[89])/6 - (4*t[95])/3 + 6*t[96] + 
       3*t[97] - 13*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((-21*t[1])/8 + (15*t[2])/16 - (7*t[3])/12 - 
       (3793*t[4])/192 - (485*t[5])/96 + (89*t[6])/32 + (139*t[7])/48 - 
       (119*t[8])/48 + (229*t[9])/96 - (2357*t[10])/384 - (493*t[11])/24 + 
       (3355*t[12])/384 - (8053*t[13])/576 + (6875*t[14])/2304 + 
       (14579*t[15])/3456 + (7*t[25])/6 + (5*t[26])/3 + (5*t[28])/12 + 
       (17*t[30])/12 + (17*t[31])/12 - (5*t[35])/6 + (5*t[36])/4 - 
       (5*t[37])/12 - (17*t[38])/6 + (17*t[43])/24 + (5*t[44])/12 + 
       (5*t[45])/12 - (17*t[46])/12 - (5*t[47])/6 + (11*t[48])/96 + 
       (1769*t[49])/384 + (35*t[50])/96 + (2057*t[51])/768 + (15*t[52])/32 + 
       (247*t[53])/384 + (1123*t[54])/64 + (17*t[59])/12 - (6463*t[60])/192 + 
       (299*t[61])/64 + (1895*t[62])/384 + (5819*t[63])/128 + 
       (2591*t[64])/128 - (4567*t[65])/576 + (4139*t[66])/576 + (5*t[69])/6 - 
       (5*t[70])/6 + (5*t[71])/6 - (5*t[72])/6 - (7*t[73])/12 - 
       (17*t[74])/12 + (11*t[75])/12 - (11*t[76])/12 - (5*t[77])/4 + t[78] - 
       (7*t[79])/12 - (35*t[81])/24 - (3*t[82])/8 + (31*t[83])/12 - 
       (2927*t[84])/192 - (2323*t[85])/192 - (5*t[86])/12 - (721*t[87])/192 - 
       (2161*t[88])/384 - (6793*t[89])/384 + (17*t[95])/6 + (5*t[96])/6 - 
       (5*t[97])/12 + 3*t[98] + 2*t[99] - 13*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v]*
      ((-2*t[1])/3 - (5*t[3])/6 + (541*t[4])/24 - (9*t[5])/8 + (33*t[6])/8 + 
       (5*t[7])/4 + (35*t[8])/12 + (47*t[9])/24 + (505*t[10])/48 + 
       (79*t[11])/24 - (577*t[12])/48 - (559*t[13])/72 + (2105*t[14])/96 - 
       (469*t[15])/72 - t[25]/3 + (5*t[26])/6 + t[36]/3 + (2*t[37])/3 - 
       (2*t[38])/3 - (23*t[46])/3 + (13*t[48])/8 + (515*t[49])/48 - 
       t[50]/24 - (45*t[51])/32 + t[52]/24 - (527*t[53])/48 - (15*t[54])/2 + 
       (4*t[59])/3 + (505*t[60])/24 + (775*t[61])/24 - (489*t[62])/16 + 
       (875*t[63])/48 - (2563*t[64])/48 - (239*t[65])/8 - (177*t[66])/8 + 
       2*t[69] - t[70] + t[71] - t[72] - (4*t[73])/3 + (2*t[74])/3 - 
       (34*t[75])/3 + t[79] - t[81]/2 + t[82]/2 + (19*t[83])/2 + 
       (59*t[84])/8 + (143*t[85])/24 + (5*t[86])/3 - (511*t[87])/24 - 
       (407*t[88])/48 - (247*t[89])/16 - (16*t[95])/3 - (25*t[100])/2) + 
     B10[u, v, w]*HPL[{1}, 1 - u]*(t[5]/2 + t[7] + t[8] - t[9]/2 - t[10] - 
       t[11] - t[12]/2 - t[14]/2 + t[15]/12 + t[60] - 2*t[61] - t[62] - 
       2*t[63] + t[64] + t[65]/3 + 2*t[66] + 4*t[86] + t[89] - 12*t[100]) + 
     B10[v, w, u]*HPL[{1}, 1 - v]*(-t[3] + 2*t[4] - (7*t[5])/2 + 3*t[6] + 
       t[7] + 3*t[8] + (9*t[9])/2 - t[10] + 2*t[11] + t[12]/2 + t[13]/2 + 
       (25*t[14])/6 - (11*t[15])/12 - 2*t[50] + 2*t[52] + 2*t[54] + 6*t[60] + 
       6*t[61] - 2*t[62] - 6*t[63] - 3*t[64] - (5*t[65])/3 - 11*t[66] + 
       2*t[81] - 2*t[82] - 2*t[83] + t[84] + 2*t[85] - 4*t[87] - 2*t[88] + 
       t[89] - 12*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-11*t[4])/4 - (7*t[5])/16 + (7*t[7])/8 + 
       (7*t[8])/8 + (7*t[9])/16 + (19*t[10])/8 - (11*t[11])/8 - 
       (169*t[12])/16 - (65*t[13])/12 + (479*t[14])/96 - (25*t[15])/32 + 
       (3*t[36])/2 - t[49]/4 - (69*t[51])/32 + t[53]/4 - (27*t[54])/8 - 
       8*t[60] + (99*t[61])/4 - (119*t[62])/16 + (199*t[63])/16 - 
       (85*t[64])/8 + (259*t[65])/24 + (193*t[66])/24 - (3*t[73])/2 - 
       (15*t[75])/2 + (3*t[79])/2 + 10*t[83] + (27*t[84])/8 + (27*t[85])/8 + 
       (7*t[86])/2 + 8*t[87] + 4*t[88] + (9*t[89])/4 - 12*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (-t[1]/2 - t[3] + (17*t[4])/4 - (13*t[5])/8 + (15*t[6])/16 + 
       (15*t[7])/8 + (31*t[8])/8 + (21*t[9])/8 - (63*t[10])/8 + 
       (151*t[11])/16 + (7*t[12])/8 + (223*t[13])/24 + (61*t[14])/12 - 
       (145*t[15])/48 + 2*t[25] - (3*t[26])/2 - (3*t[37])/2 - t[38]/2 + 
       (21*t[46])/4 + (15*t[48])/16 - (89*t[49])/8 - (17*t[50])/16 - 
       (23*t[51])/4 + (17*t[52])/16 + (11*t[53])/8 - (37*t[54])/16 - 
       (3*t[59])/4 + (39*t[60])/8 + 14*t[61] - (213*t[62])/16 - 
       (107*t[63])/16 + (31*t[64])/8 - (11*t[65])/8 - (245*t[66])/8 - 
       (3*t[73])/2 + (3*t[74])/2 - (15*t[75])/2 + (3*t[79])/2 + (3*t[81])/4 - 
       (3*t[82])/4 + 10*t[83] + (35*t[84])/8 + (7*t[85])/2 + (7*t[86])/2 + 
       (63*t[87])/8 + (63*t[88])/16 + (111*t[89])/16 - 12*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((8*t[1])/3 - (11*t[3])/6 + (295*t[4])/12 - (4*t[5])/3 + (15*t[6])/4 - 
       (8*t[7])/3 - 3*t[8] + (19*t[9])/6 + (95*t[10])/6 + 3*t[11] - 
       (35*t[12])/2 + (41*t[13])/36 + (1139*t[14])/72 - (79*t[15])/36 - 
       t[25]/3 - (7*t[26])/3 + 2*t[28] + 2*t[31] - 2*t[35] - (4*t[36])/3 + 
       (8*t[38])/3 + 2*t[39] - 2*t[40] + 2*t[45] - 4*t[47] + (3*t[48])/4 + 
       (13*t[49])/2 - (11*t[50])/12 - (121*t[51])/24 + (11*t[52])/12 - 
       (17*t[53])/2 - (9*t[54])/2 - (3*t[59])/2 + (104*t[60])/3 + 15*t[61] - 
       (7*t[62])/6 - (22*t[63])/3 - (649*t[64])/12 - (929*t[65])/36 - 
       (329*t[66])/12 - 2*t[69] - 2*t[73] + (10*t[74])/3 + 2*t[77] + 
       2*t[78] + 2*t[79] - 4*t[80] + (4*t[81])/3 - (4*t[82])/3 - 5*t[83] + 
       (29*t[84])/4 + (67*t[85])/12 - 22*t[86] - (95*t[87])/4 - 
       (265*t[88])/24 - (4*t[89])/3 - (8*t[95])/3 - 12*t[100]) + 
     HPL[{0, 1}, 1 - u]*Ot[u, v, w]*((41*t[1])/12 - t[2]/12 - t[3]/3 - 
       (691*t[4])/48 + (3*t[5])/16 - (419*t[6])/48 + (11*t[7])/2 - 8*t[8] + 
       (65*t[9])/16 + (163*t[10])/96 - (41*t[11])/48 - (227*t[12])/96 - 
       (1019*t[13])/144 - (223*t[14])/576 + (17*t[15])/18 - (7*t[25])/3 - 
       (5*t[26])/6 + (4*t[27])/3 + t[28] + t[30] - t[31]/3 - (2*t[34])/3 - 
       2*t[35] + (5*t[36])/2 + (23*t[37])/6 + (19*t[38])/6 - t[39]/3 + 
       t[40]/6 + t[41]/3 - t[42]/3 + t[43]/2 - t[44] - t[45]/6 + 
       (2*t[46])/3 + t[47]/3 - (25*t[48])/16 + (183*t[49])/32 - t[50]/16 + 
       (247*t[51])/192 + t[52]/16 + (121*t[53])/32 + (45*t[54])/4 - 
       (2*t[58])/3 - (5*t[59])/6 - (1385*t[60])/48 - (307*t[61])/48 - 
       (305*t[62])/96 + (3001*t[63])/96 + (2557*t[64])/96 - 
       (4189*t[65])/144 - (3635*t[66])/144 - (7*t[70])/3 + (7*t[71])/3 + 
       (8*t[72])/3 - 2*t[73] - (3*t[74])/2 + 2*t[75] + (49*t[76])/6 - 
       (7*t[77])/6 - (71*t[78])/6 + (17*t[80])/3 + (9*t[81])/4 + 
       (17*t[82])/12 + (8*t[83])/3 - (781*t[84])/48 - (331*t[85])/48 - 
       t[86] - (581*t[87])/48 - (567*t[88])/32 - (2059*t[89])/96 + 5*t[95] + 
       (19*t[96])/3 + t[97] + 52*t[98] - 54*t[99] - 12*t[100]) + 
     HPL[{0, 1}, 1 - v]*Ot[u, v, w]*((-19*t[1])/12 - t[2]/12 - (5*t[3])/3 - 
       (835*t[4])/48 + (235*t[5])/48 - (119*t[6])/16 + (5*t[7])/6 + 
       (26*t[8])/3 - (31*t[9])/48 + (317*t[10])/96 - (617*t[11])/48 - 
       (41*t[12])/96 - (5875*t[13])/432 + (5749*t[14])/576 + (31*t[15])/12 - 
       t[25] + (17*t[26])/6 - (4*t[27])/3 - t[28] - t[30] + t[31]/3 - 
       (2*t[34])/3 + 2*t[35] + (7*t[36])/2 - t[37]/6 - (11*t[38])/6 + t[39] + 
       t[40]/6 + t[41]/3 - t[42]/3 - t[43]/2 + t[44] - t[45]/6 + t[47]/3 + 
       (25*t[48])/16 + (1135*t[49])/96 - (109*t[50])/48 - (841*t[51])/192 + 
       (109*t[52])/48 - (191*t[53])/96 + (97*t[54])/8 - (2*t[58])/3 + 
       (5*t[59])/3 - (1967*t[60])/48 + (569*t[61])/48 - (781*t[62])/96 + 
       (5005*t[63])/96 + (443*t[64])/32 - (467*t[65])/48 - (683*t[66])/144 - 
       (7*t[70])/3 + (7*t[71])/3 - 2*t[73] - (5*t[74])/2 + 2*t[75] + 
       (47*t[76])/6 - (5*t[77])/6 - (65*t[78])/6 - 4*t[79] + 7*t[80] + 
       (17*t[81])/12 + (31*t[82])/12 + (8*t[83])/3 - (239*t[84])/16 - 
       (407*t[85])/48 + 3*t[86] - (281*t[87])/48 - (467*t[88])/32 - 
       (571*t[89])/32 + 5*t[95] + (19*t[96])/3 + t[97] + 52*t[98] - 
       54*t[99] - 12*t[100]) + D27[w, v, u]*(t[3] + 3*t[4] + 2*t[5] - 
       t[6]/2 - t[7] - 3*t[8] + 2*t[9] - 5*t[10] - t[11] - 2*t[12] - 
       (25*t[13])/18 - (5*t[14])/2 - (5*t[15])/6 + 3*t[49] - t[53] - t[54] + 
       9*t[60] - 4*t[61] + (9*t[62])/2 - t[63]/2 - 11*t[64] + 3*t[65] + 
       (8*t[66])/3 + 4*t[76] - 2*t[78] + 4*t[80] + 2*t[81] + t[84] + 
       5*t[85] - 12*t[87] - 5*t[88] + 24*t[98] - 24*t[99] - 12*t[100]) + 
     D27[w, u, v]*(t[1] - t[3] + 9*t[4] - (3*t[5])/2 - (3*t[6])/2 + 4*t[8] + 
       (5*t[9])/2 + t[10]/2 + 8*t[11] - 3*t[12] + (13*t[13])/6 + 
       (43*t[14])/12 - (25*t[15])/12 + t[38] + t[48] + (7*t[49])/2 - t[50] - 
       (7*t[51])/4 + t[52] - (7*t[53])/2 - 4*t[54] - t[59]/2 + 3*t[60] + 
       (9*t[61])/2 - 5*t[62] - 7*t[63] - 3*t[64] - (61*t[65])/3 - 17*t[66] + 
       4*t[76] - 8*t[78] + t[84] + 2*t[85] - 7*t[87] - (5*t[88])/2 + t[89] + 
       4*t[96] + 24*t[98] - 24*t[99] - 12*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      (-t[1]/2 - 2*t[2] - (13*t[3])/8 - (71*t[4])/4 - (259*t[5])/16 - 
       (71*t[6])/4 + t[7]/8 - (381*t[8])/8 - (225*t[9])/16 + (339*t[10])/8 + 
       (249*t[11])/8 - (73*t[12])/16 - (1691*t[13])/72 + (447*t[14])/16 + 
       (1025*t[15])/288 - 2*t[25] + 2*t[26] - 8*t[27] - 10*t[28] - 2*t[29] + 
       10*t[30] - 3*t[37] - 10*t[39] + 6*t[40] + t[41]/2 - t[42]/2 + 
       2*t[43] + 6*t[44] + 5*t[45] + 4*t[46] - 10*t[47] - (55*t[48])/2 - 
       (39*t[49])/4 + (25*t[50])/2 - (97*t[51])/8 - (33*t[52])/2 + 
       (5*t[53])/4 - (71*t[54])/4 + (3*t[59])/2 - 85*t[60] + 87*t[61] - 
       102*t[62] + 71*t[63] + (169*t[64])/8 - 9*t[65] + (49*t[66])/3 + 
       4*t[68] + 2*t[69] + 2*t[70] - 2*t[71] + 4*t[72] - 4*t[73] + 2*t[74] - 
       3*t[75] - 14*t[76] - (9*t[77])/2 - 6*t[80] - 17*t[81] - (21*t[82])/2 + 
       31*t[83] - (47*t[84])/4 - (31*t[85])/4 + 54*t[86] + (101*t[87])/4 + 
       (177*t[88])/8 - (151*t[89])/4 - 4*t[95] - 2*t[96] + 2*t[97] - 
       48*t[98] + 36*t[99] - 12*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*((-19*t[1])/2 - 6*t[2] - (13*t[3])/8 - 
       18*t[4] + (157*t[5])/4 + (427*t[6])/16 + (51*t[7])/4 + (71*t[8])/4 - 
       (269*t[9])/8 - (225*t[10])/4 + (465*t[11])/16 + 42*t[12] + 
       (2899*t[13])/72 + (17*t[14])/8 + (685*t[15])/24 + 6*t[25] + 9*t[26] - 
       2*t[27] + 4*t[28] + (3*t[30])/4 + 3*t[31] - t[34] + 5*t[35] - 
       6*t[36] - (29*t[38])/2 + (15*t[39])/4 - (3*t[40])/4 + 4*t[43] + 
       (15*t[44])/4 + 3*t[45] + (5*t[46])/2 - 6*t[47] + (225*t[48])/16 - 
       34*t[49] - (107*t[50])/16 + (177*t[51])/16 + (43*t[52])/16 + 
       26*t[53] + (211*t[54])/16 + (145*t[59])/12 + (69*t[60])/8 + 
       (715*t[61])/8 + (287*t[62])/16 - (771*t[63])/16 + (381*t[64])/16 + 
       (1129*t[65])/24 - (185*t[66])/24 + t[67]/2 - 4*t[68] + 2*t[69] - 
       t[70] + t[71] + 10*t[72] - 2*t[73] + t[74] + 10*t[75] - (49*t[76])/4 + 
       t[77] + 14*t[78] - 19*t[79] - 16*t[80] - 15*t[81] + 2*t[82] - 
       (59*t[83])/2 + (97*t[84])/8 - (101*t[85])/8 - 40*t[86] - 
       (47*t[87])/8 + (105*t[88])/16 + (287*t[89])/16 - 4*t[95] - 2*t[96] + 
       2*t[97] - 48*t[98] + 36*t[99] - 12*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-139*t[1])/6 + (83*t[2])/6 - (68*t[3])/3 - (1145*t[4])/12 - 62*t[5] + 
       (851*t[6])/12 + (29*t[7])/2 + (121*t[8])/2 + 31*t[9] + 
       (389*t[10])/24 - (1843*t[11])/12 + (1073*t[12])/24 - (2993*t[13])/36 + 
       (6175*t[14])/144 + (1309*t[15])/72 + (4*t[25])/3 + (85*t[26])/3 - 
       (4*t[27])/3 - 4*t[28] + (22*t[31])/3 - t[34]/3 + 8*t[35] + 2*t[36] - 
       (34*t[37])/3 - (83*t[38])/3 + t[39]/3 - (14*t[40])/3 + t[41]/6 - 
       t[42]/6 + 10*t[44] + (14*t[45])/3 - (20*t[46])/3 - (28*t[47])/3 + 
       (91*t[48])/4 + (117*t[49])/8 + (59*t[50])/4 - (547*t[51])/48 + 
       (33*t[52])/4 - (37*t[53])/8 + (133*t[54])/2 + (11*t[58])/3 + 
       (59*t[59])/6 - (1801*t[60])/12 + (505*t[61])/12 + (2429*t[62])/24 + 
       (3443*t[63])/24 - (247*t[64])/24 + (4489*t[65])/36 + (6257*t[66])/36 - 
       (8*t[70])/3 + (8*t[71])/3 - (32*t[72])/3 + 8*t[73] - 6*t[74] - 
       8*t[75] - (77*t[76])/3 - (28*t[77])/3 + (139*t[78])/3 - 
       (176*t[80])/3 - 15*t[81] - (32*t[82])/3 + (4*t[83])/3 - 
       (239*t[84])/12 - (77*t[85])/12 - 12*t[86] + (929*t[87])/12 + 
       (219*t[88])/8 + (601*t[89])/24 + 4*t[95] - (28*t[96])/3 - 11*t[97] - 
       112*t[98] + 144*t[99] - 12*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((11*t[1])/18 + (73*t[3])/72 + 
       (527*t[4])/36 + (757*t[5])/144 + (233*t[6])/48 - (23*t[7])/16 + 
       (3389*t[8])/144 - (217*t[9])/48 + (17*t[10])/16 - (1643*t[11])/144 - 
       (865*t[12])/144 - (5869*t[13])/432 + (5201*t[14])/864 - 
       (1739*t[15])/864 - t[19] - (23*t[25])/18 + (2*t[26])/3 - t[27]/2 + 
       (3*t[29])/2 + t[36] + (11*t[37])/4 + t[38]/9 - (13*t[44])/4 - 
       (113*t[46])/24 + (233*t[48])/48 + (275*t[49])/36 - (737*t[50])/144 + 
       (53*t[51])/288 + (737*t[52])/144 - (257*t[53])/36 + (941*t[54])/144 + 
       (53*t[59])/24 + (47*t[60])/8 - (53*t[61])/72 + (23*t[62])/16 + 
       (2581*t[63])/144 - (415*t[64])/144 - (277*t[65])/24 + 
       (1693*t[66])/72 + t[67]/2 + (16*t[69])/3 - (19*t[70])/6 + 
       (19*t[71])/6 + t[72] - (19*t[73])/3 - (17*t[74])/4 + 2*t[75] - 
       (5*t[76])/2 - t[78] - t[79]/4 - t[80] - t[81]/3 + (4*t[82])/3 + 
       (469*t[83])/36 - (13*t[84])/72 - (11*t[85])/72 + (335*t[86])/36 - 
       (191*t[87])/24 - (191*t[88])/48 - (5*t[89])/48 - (71*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((95*t[4])/3 + (5*t[5])/24 - (5*t[7])/12 - (5*t[8])/12 - (41*t[9])/24 + 
       (275*t[10])/6 - (83*t[11])/12 - (1015*t[12])/24 - (52*t[13])/9 + 
       (3401*t[14])/144 - (147*t[15])/16 + 3*t[36] + (103*t[49])/12 - 
       (401*t[51])/16 - (193*t[53])/12 - (147*t[54])/4 + (211*t[60])/6 + 
       (139*t[61])/2 + (79*t[62])/24 + (433*t[63])/24 - (322*t[64])/3 + 
       (1537*t[65])/36 + (1627*t[66])/36 - 5*t[69] - t[72] - 3*t[73] - 
       7*t[75] - 3*t[76] + 3*t[79] + (19*t[83])/6 + (131*t[84])/4 + 
       (131*t[85])/4 - (5*t[86])/3 + (77*t[87])/6 + (77*t[88])/12 + 
       (177*t[89])/4 - 11*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      Omega2[w, u, v]*(2*t[1] + t[3] + (79*t[4])/6 + (19*t[5])/12 - t[6] + 
       (4*t[7])/3 + (4*t[8])/3 - (31*t[9])/12 + (7*t[10])/3 + (41*t[11])/6 - 
       (203*t[12])/12 - t[13] + (1577*t[14])/144 - (113*t[15])/24 - 2*t[26] - 
       t[28] - t[31] + t[35] + t[36] + 2*t[38] - t[39] + t[40] - t[45] - 
       (3*t[46])/2 + 2*t[47] + t[48]/2 + (13*t[49])/3 + (3*t[50])/2 - 
       (81*t[51])/16 - (3*t[52])/2 - (41*t[53])/6 - (35*t[54])/4 - t[59] + 
       (53*t[60])/3 + 16*t[61] - (479*t[62])/24 + (211*t[63])/24 - 
       (52*t[64])/3 - (527*t[65])/36 - (185*t[66])/36 - 2*t[69] - 2*t[73] + 
       t[74] - 9*t[75] - t[77] - t[78] + 2*t[79] + 2*t[80] - 2*t[81] + 
       2*t[82] + (29*t[83])/3 + (25*t[84])/4 + (21*t[85])/4 + (34*t[86])/3 - 
       (17*t[87])/3 - (19*t[88])/12 - (9*t[89])/4 - 4*t[95] - 11*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      (t[1]/3 + (7*t[2])/12 + (5*t[3])/12 - (41*t[4])/16 - (55*t[5])/32 + 
       (9*t[6])/16 + (33*t[7])/16 + (107*t[8])/48 + (11*t[9])/32 - 
       (285*t[10])/32 + t[11] + (67*t[12])/24 + (703*t[13])/432 - 
       (1393*t[14])/288 - (163*t[15])/576 - t[26]/3 + t[27]/3 - t[28] - 
       (4*t[31])/3 + t[34]/6 + t[35] + (7*t[36])/4 + t[37]/6 + t[38]/3 - 
       t[39] + (5*t[40])/6 - t[41]/12 + t[42]/12 - (5*t[45])/6 + 
       (5*t[47])/3 + (13*t[48])/16 - (407*t[49])/96 + (55*t[50])/48 + 
       (41*t[51])/24 - (31*t[52])/48 + (69*t[53])/32 - (21*t[54])/16 + 
       t[58]/6 - (5*t[59])/12 + (217*t[60])/48 + (235*t[61])/48 + 
       (43*t[62])/12 - 8*t[63] - (2453*t[64])/96 + (107*t[65])/18 - 
       (5*t[66])/3 - t[69]/2 + t[70]/3 - t[71]/3 - t[72]/4 - t[73]/4 - 
       t[74]/2 + t[75]/4 - (43*t[76])/12 - (7*t[77])/6 + (7*t[78])/3 - 
       (3*t[79])/4 + (3*t[80])/2 - (8*t[81])/3 + t[82]/6 + 2*t[83] + 
       (5*t[84])/2 + (17*t[85])/12 + (91*t[86])/12 + (151*t[87])/16 + 
       (613*t[88])/96 - (3*t[89])/32 - t[95] - (4*t[96])/3 - t[97]/2 - 
       16*t[98] + 24*t[99] - 11*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - u]*((-311*t[1])/288 - (107*t[2])/48 - (247*t[3])/96 - 
       (10171*t[4])/1152 + (1937*t[5])/576 - (281*t[6])/96 - (49*t[7])/144 + 
       (11*t[8])/36 - (1895*t[9])/576 + (25169*t[10])/2304 - 
       (533*t[11])/576 + (14945*t[12])/2304 + (223*t[13])/3456 + 
       (35971*t[14])/4608 + (917*t[15])/256 - t[25]/6 + (247*t[26])/144 + 
       t[27]/6 + (3*t[28])/8 - t[29]/4 + t[30]/4 + t[31]/12 - t[32]/4 + 
       t[33]/4 - (37*t[34])/48 - t[35]/4 + (35*t[36])/72 + (5*t[37])/8 - 
       (23*t[38])/18 + t[39]/4 + (3*t[40])/8 + (37*t[41])/96 - 
       (37*t[42])/96 + t[43]/8 - t[44]/8 - t[45]/12 - (5*t[46])/16 - 
       t[47]/12 + (5*t[48])/96 + (779*t[49])/2304 - (395*t[50])/96 - 
       (487*t[51])/1536 + (221*t[52])/96 + (4045*t[53])/2304 + 
       (4645*t[54])/1152 - (11*t[58])/48 + (409*t[59])/288 - 
       (19441*t[60])/1152 + (29695*t[61])/1152 - (33031*t[62])/2304 + 
       (4703*t[63])/2304 + (7861*t[64])/768 + (1147*t[65])/3456 - 
       (12629*t[66])/1152 - t[69]/3 - t[70]/6 + t[71]/6 + (5*t[72])/6 - 
       t[73]/8 + t[74]/72 + (61*t[75])/24 + (93*t[76])/16 + t[77] - 
       (20*t[78])/3 - (7*t[79])/8 + (31*t[80])/8 - (13*t[81])/9 - 
       (97*t[82])/72 - (23*t[83])/36 - (8965*t[84])/1152 - 
       (8137*t[85])/1152 - (161*t[86])/72 + (2627*t[87])/384 + 
       (3497*t[88])/2304 - (11111*t[89])/2304 + (31*t[95])/18 + 
       (19*t[96])/6 + (33*t[97])/16 + 29*t[98] - 30*t[99] - 
       (263*t[100])/24) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]^2*
      ((-7*t[1])/8 + (3*t[2])/16 - t[3]/2 - (331*t[4])/64 - (35*t[5])/16 + 
       (19*t[6])/32 + (11*t[7])/8 - (7*t[8])/2 + (15*t[9])/16 + t[10]/128 - 
       (27*t[11])/8 + (309*t[12])/128 - (229*t[13])/64 + (887*t[14])/256 + 
       (575*t[15])/1152 - t[25]/2 + (3*t[26])/2 - t[28]/4 + (3*t[30])/4 + 
       (3*t[31])/4 + t[35]/2 - t[37]/4 - t[38] + (3*t[43])/8 + (3*t[44])/4 + 
       t[45]/4 + t[46]/4 - t[47]/2 - (5*t[48])/32 + (51*t[49])/128 + 
       (35*t[50])/32 - (209*t[51])/256 - (19*t[52])/32 + (109*t[53])/128 + 
       (171*t[54])/64 + t[59]/2 - (525*t[60])/64 + (379*t[61])/64 + 
       (281*t[62])/128 + (1999*t[63])/128 - (321*t[64])/128 - 
       (473*t[65])/192 - (9*t[66])/64 - t[70]/2 + t[71]/2 - t[72]/2 - 
       t[73]/2 - t[74]/4 + t[75]/2 + t[76]/4 - (3*t[77])/4 - t[78] - 
       2*t[80] - (3*t[81])/8 - t[82]/8 + t[83]/4 - (161*t[84])/64 - 
       (21*t[85])/64 - (7*t[86])/2 - (123*t[87])/64 - (411*t[88])/128 - 
       (523*t[89])/128 + t[95]/2 + t[96]/2 - t[97]/4 + 3*t[98] + 2*t[99] - 
       (43*t[100])/4) + HPL[{1}, 1 - u]^2*Qep[w, u, v]*
      ((-88*t[4])/9 - (8*t[5])/9 + (16*t[7])/9 + (16*t[8])/9 + (8*t[9])/9 + 
       (268*t[10])/9 - (80*t[11])/9 - (92*t[12])/9 + (728*t[13])/27 + 
       (2*t[14])/27 - 8*t[15] - (188*t[49])/9 - (62*t[51])/3 + (44*t[53])/9 - 
       40*t[54] + (104*t[60])/9 + (200*t[61])/3 + (452*t[62])/9 - 
       (388*t[63])/9 + (20*t[64])/9 + (3304*t[65])/27 + (1912*t[66])/27 - 
       (32*t[69])/3 + (64*t[75])/3 - (304*t[83])/9 + 40*t[84] + 40*t[85] + 
       (64*t[86])/9 + (856*t[87])/9 + (428*t[88])/9 + (260*t[89])/3 - 
       (32*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[w, u, v]*
      ((-176*t[1])/9 + (248*t[4])/9 + (40*t[5])/9 + (8*t[6])/3 - 
       (32*t[7])/9 - (32*t[8])/9 - (40*t[9])/9 + (70*t[10])/9 + 
       (236*t[11])/9 - (26*t[12])/9 - (172*t[13])/27 + (193*t[14])/9 - 
       (34*t[15])/3 + (176*t[26])/9 - (64*t[36])/9 - (176*t[38])/9 - 
       (16*t[46])/3 + (8*t[48])/3 - (134*t[49])/9 + (8*t[50])/3 + t[51] - 
       (8*t[52])/3 + (86*t[53])/9 - (200*t[54])/9 + (88*t[59])/9 + 
       (140*t[60])/9 + (676*t[61])/9 - (434*t[62])/9 + (106*t[63])/9 - 
       (310*t[64])/3 - (752*t[65])/27 - (256*t[66])/9 + (64*t[69])/3 + 
       (64*t[74])/9 - (128*t[75])/3 - (32*t[81])/9 + (32*t[82])/9 + 
       (608*t[83])/9 + (176*t[84])/9 + (128*t[85])/9 - (128*t[86])/9 - 
       (8*t[87])/3 + (76*t[88])/9 - (94*t[89])/9 - (128*t[95])/9 - 
       (32*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((-17*t[1])/6 - (17*t[2])/24 + (55*t[3])/12 + 
       (1213*t[4])/96 - (7*t[5])/96 - (305*t[6])/32 - (91*t[7])/24 - 
       (503*t[8])/24 - (77*t[9])/96 - (1379*t[10])/192 + (341*t[11])/96 - 
       (133*t[12])/192 + (5749*t[13])/864 - (10699*t[14])/1152 - 
       (167*t[15])/288 - t[25]/2 + (5*t[26])/6 + (2*t[27])/3 - t[29]/2 - 
       t[30] + t[31]/3 - t[32]/2 + t[33]/2 + (13*t[34])/12 + t[35] - 
       (3*t[36])/4 + (13*t[37])/12 - (13*t[38])/12 + (5*t[40])/3 - 
       (13*t[41])/24 + (13*t[42])/24 - t[43]/2 + t[44]/2 + (7*t[45])/12 + 
       2*t[46] - (5*t[47])/3 - (169*t[48])/32 - (793*t[49])/192 + 
       (13*t[50])/96 - (41*t[51])/384 - (325*t[52])/96 - (247*t[53])/192 - 
       (59*t[54])/8 - (5*t[58])/12 - t[59]/12 + (2789*t[60])/96 - 
       (1619*t[61])/96 + (1711*t[62])/192 - (2287*t[63])/192 - 
       (1761*t[64])/64 + (893*t[65])/96 + (4241*t[66])/288 - t[69] + 
       (13*t[70])/6 - (13*t[71])/6 + t[72]/2 - t[73] + (5*t[74])/4 + 
       2*t[75] - t[76]/6 - (7*t[77])/12 + (65*t[78])/12 - 4*t[79] - t[80] + 
       (37*t[81])/24 + (5*t[82])/24 - (5*t[83])/6 + (277*t[84])/32 + 
       (1145*t[85])/96 - t[86]/2 - (1705*t[87])/96 - (211*t[88])/64 + 
       (305*t[89])/64 - (3*t[95])/2 - (11*t[96])/3 + 4*t[98] - 3*t[99] - 
       (21*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((3*t[1])/2 + 2*t[3] + (235*t[4])/48 + 
       (63*t[5])/32 - 3*t[6] + (49*t[7])/16 + (49*t[8])/16 - (127*t[9])/32 - 
       (535*t[10])/96 + (215*t[11])/48 - (43*t[12])/3 - (193*t[13])/48 + 
       (4619*t[14])/576 - (2617*t[15])/576 - (3*t[26])/2 - 2*t[28] - 
       2*t[31] + 2*t[35] + (9*t[36])/4 + (3*t[38])/2 - 2*t[39] + 2*t[40] - 
       2*t[45] - (115*t[46])/48 + 4*t[47] + (125*t[49])/32 + 2*t[50] - 
       (187*t[51])/64 - 2*t[52] - (529*t[53])/96 - (283*t[54])/48 - 
       (3*t[59])/4 + (263*t[60])/48 + (583*t[61])/48 - (793*t[62])/32 + 
       (471*t[63])/32 + (97*t[64])/32 - (1559*t[65])/144 + (743*t[66])/144 - 
       (5*t[69])/6 - (19*t[73])/12 - (2*t[74])/3 - (43*t[75])/4 - 2*t[77] - 
       2*t[78] + (19*t[79])/12 + 4*t[80] - (8*t[81])/3 + (8*t[82])/3 + 
       13*t[83] + (91*t[84])/48 + (91*t[85])/48 + (97*t[86])/4 + 
       (203*t[87])/48 + (283*t[88])/96 - (559*t[89])/96 - (8*t[95])/3 - 
       (41*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - w]*((-3*t[1])/8 + (2053*t[4])/144 + (263*t[5])/576 + 
       (25*t[6])/64 - (43*t[7])/144 - (43*t[8])/144 - (263*t[9])/576 + 
       (3151*t[10])/288 + (2243*t[11])/576 - (7285*t[12])/576 - 
       (2467*t[13])/864 + (43985*t[14])/3456 - (523*t[15])/128 + 
       (3*t[26])/8 + (11*t[36])/8 - (5*t[37])/24 - (3*t[38])/8 - 
       (13*t[46])/16 + (25*t[48])/64 + (205*t[49])/72 + (25*t[50])/64 - 
       (679*t[51])/128 - (25*t[52])/64 - (857*t[53])/144 - (1423*t[54])/192 - 
       (5*t[59])/48 + (3731*t[60])/288 + (345*t[61])/16 - (2033*t[62])/144 + 
       (1621*t[63])/144 - (10027*t[64])/288 - (4633*t[65])/432 - 
       (4267*t[66])/432 + (5*t[69])/12 - (5*t[70])/12 + (5*t[71])/12 - 
       3*t[73] + (37*t[74])/24 - (15*t[75])/2 + (35*t[79])/12 - 
       (25*t[81])/48 + (25*t[82])/48 + (433*t[83])/36 + (337*t[84])/48 + 
       (599*t[85])/96 - (43*t[86])/36 - (1433*t[87])/288 - (953*t[88])/576 - 
       (49*t[89])/64 - (8*t[95])/3 - (121*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-7*t[1])/3 + (211*t[4])/12 + (5*t[5])/12 + t[6] + (5*t[7])/3 + 
       (5*t[8])/3 - (5*t[9])/12 + (11*t[10])/3 + (127*t[11])/12 - 
       (91*t[12])/12 + (23*t[13])/18 + (253*t[14])/24 - (95*t[15])/24 + 
       (7*t[26])/3 - (2*t[36])/3 - (7*t[38])/3 - t[46] + t[48] + 
       (7*t[49])/6 + t[50] - (39*t[51])/8 - t[52] - (25*t[53])/6 - 
       (121*t[54])/12 + t[59]/3 + (61*t[60])/3 + (65*t[61])/3 - 
       (70*t[62])/3 - (77*t[63])/6 - (113*t[64])/4 - (559*t[65])/36 - 
       (155*t[66])/12 - 2*t[69] + t[70] - t[71] - 2*t[73] + (8*t[74])/3 - 
       10*t[75] + 2*t[79] - (4*t[81])/3 + (4*t[82])/3 + (65*t[83])/6 + 
       (109*t[84])/12 + (85*t[85])/12 + (20*t[86])/3 - (45*t[87])/4 - 
       (83*t[88])/24 - t[89]/6 - (16*t[95])/3 - 10*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      ((-2*t[1])/3 - (7*t[2])/6 + (17*t[3])/6 - (13*t[4])/6 + (39*t[5])/4 - 
       (47*t[6])/6 - t[7]/2 - (9*t[8])/2 - (15*t[9])/2 - (283*t[10])/24 + 
       (11*t[11])/3 + (107*t[12])/24 + (119*t[13])/36 - (505*t[14])/72 + 
       (41*t[15])/24 + t[25]/3 + t[26]/3 + (5*t[27])/3 - t[28] - 
       (5*t[31])/3 - t[34]/3 + 2*t[36] + (5*t[37])/3 - (2*t[38])/3 - 
       (5*t[39])/3 + (4*t[40])/3 + t[41]/6 - t[42]/6 - t[45]/3 - t[46]/6 + 
       (2*t[47])/3 + t[48]/4 + (11*t[49])/8 - (7*t[50])/4 + (7*t[51])/6 + 
       (3*t[52])/4 + (17*t[53])/8 + (21*t[54])/4 - t[58]/3 + (5*t[59])/6 - 
       (97*t[60])/12 - (32*t[61])/3 + (455*t[62])/24 + (281*t[63])/24 - 
       (62*t[64])/3 - (251*t[65])/36 + (11*t[66])/36 - t[69] - (2*t[70])/3 + 
       (2*t[71])/3 + t[72]/3 - t[74] - 3*t[75] + (19*t[76])/3 - (4*t[77])/3 - 
       (32*t[78])/3 + 4*t[79] + (7*t[80])/3 + (16*t[82])/3 - (19*t[83])/6 - 
       (26*t[84])/3 - (14*t[85])/3 - 12*t[86] - (35*t[87])/6 - (25*t[88])/4 - 
       (215*t[89])/24 + 2*t[95] + (8*t[96])/3 + t[97] + 32*t[98] - 28*t[99] - 
       10*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      ((4*t[1])/3 - (7*t[2])/6 - (29*t[3])/6 + (5*t[4])/6 - (85*t[5])/12 - 
       (5*t[6])/2 - (4*t[7])/3 + (4*t[8])/3 + (59*t[9])/6 + (331*t[10])/24 - 
       (22*t[11])/3 - (151*t[12])/24 - (545*t[13])/108 + (1309*t[14])/72 - 
       (179*t[15])/72 - t[25] - t[26]/3 + t[27]/3 + t[28] + (5*t[31])/3 - 
       t[34]/3 + 2*t[36] - t[37]/3 + (4*t[38])/3 + t[39] - (2*t[40])/3 + 
       t[41]/6 - t[42]/6 - t[45]/3 - (3*t[46])/2 + (2*t[47])/3 - 
       (9*t[48])/4 + (131*t[49])/24 - (59*t[50])/12 - (13*t[51])/6 + 
       (47*t[52])/12 - (31*t[53])/24 + (23*t[54])/4 - t[58]/3 - t[59]/6 + 
       (17*t[60])/12 + (64*t[61])/3 - (287*t[62])/24 + (503*t[63])/24 - 
       43*t[64] - (179*t[65])/12 - (1387*t[66])/36 + t[69] - (2*t[70])/3 + 
       (2*t[71])/3 - t[72] - t[74] + t[75] + (17*t[76])/3 + (4*t[77])/3 - 
       (14*t[78])/3 - 4*t[79] + 5*t[80] + (16*t[81])/3 - (10*t[82])/3 - 
       t[83]/6 - 6*t[84] - t[85]/3 - 8*t[86] - (89*t[87])/6 - (43*t[88])/4 - 
       (67*t[89])/8 + 2*t[95] + (8*t[96])/3 + t[97] + 32*t[98] - 28*t[99] - 
       10*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((-7*t[1])/6 - (47*t[2])/96 - (5*t[3])/24 - (89*t[4])/128 + 
       (31*t[5])/16 - (81*t[6])/32 + (35*t[7])/96 - (5*t[8])/32 - 
       (11*t[9])/24 - (1325*t[10])/768 + (81*t[11])/32 + (289*t[12])/256 + 
       (1537*t[13])/3456 + (4675*t[14])/1536 + (301*t[15])/768 + t[25]/3 + 
       (17*t[26])/24 - t[27]/12 - (3*t[28])/8 + t[30]/8 + (11*t[31])/24 - 
       t[34]/6 + (3*t[35])/4 + t[36]/2 - t[37]/24 - (25*t[38])/24 + t[39]/4 + 
       (7*t[40])/24 + t[41]/12 - t[42]/12 + t[43]/16 + (3*t[44])/8 + 
       t[45]/12 + (17*t[46])/16 - t[47]/6 - (11*t[48])/32 + (103*t[49])/256 - 
       (121*t[50])/96 - (3361*t[51])/1536 + (49*t[52])/96 - (101*t[53])/768 - 
       (55*t[54])/384 - t[58]/6 + (5*t[59])/12 - (739*t[60])/384 + 
       (1321*t[61])/128 - (4907*t[62])/768 + (4219*t[63])/768 - 
       (4601*t[64])/768 - (1795*t[65])/384 - (8239*t[66])/1152 - 
       (3*t[69])/4 + t[70]/6 - t[71]/6 - t[72]/2 - (5*t[73])/8 + t[74]/4 - 
       (5*t[75])/8 + (59*t[76])/24 - (5*t[77])/24 - (10*t[78])/3 - 
       (11*t[79])/8 + 2*t[80] + (2*t[81])/3 + (11*t[82])/24 + (35*t[83])/24 - 
       (821*t[84])/384 - (149*t[85])/384 - t[86]/24 - (1255*t[87])/384 - 
       (813*t[88])/256 - (595*t[89])/256 + t[95]/2 + (4*t[96])/3 + 
       (5*t[97])/8 + (29*t[98])/2 - 13*t[99] - 10*t[100]) + 
     D36[u, v, w]*(-t[1]/4 + t[2]/4 - (2*t[3])/3 + (59*t[4])/24 - 
       (65*t[5])/48 + (79*t[6])/48 + (13*t[7])/12 + (5*t[8])/4 + 
       (27*t[9])/16 - (31*t[10])/24 + (115*t[11])/48 + (59*t[12])/48 + 
       (101*t[13])/108 + (661*t[14])/288 - (41*t[15])/288 + t[25]/3 - 
       t[26]/6 - t[36]/6 - t[37]/6 - t[38]/3 + t[39]/6 + t[45]/6 - t[47]/3 + 
       (31*t[48])/48 - t[49]/2 + (7*t[50])/48 + (3*t[51])/32 + (3*t[52])/16 + 
       t[53]/4 - t[54]/48 - t[59]/6 + (119*t[60])/24 + (31*t[61])/6 - 
       (13*t[62])/24 - (13*t[63])/8 - (127*t[64])/24 - (13*t[65])/72 - 
       (15*t[66])/8 + t[70]/3 - t[71]/3 + t[74]/6 - (2*t[76])/3 - t[77]/6 + 
       t[78] - t[80]/3 + t[81]/12 - t[82]/4 + (21*t[84])/8 + (3*t[85])/4 - 
       t[86]/3 - (5*t[87])/2 + (5*t[88])/12 + (9*t[89])/16 - t[95]/3 - 
       t[96]/3 - t[97]/6 - 4*t[98] + 6*t[99] - 10*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((77*t[1])/48 + t[2]/2 - (103*t[3])/48 - (305*t[4])/96 - 
       (535*t[5])/96 + (237*t[6])/64 + (61*t[7])/24 + (119*t[8])/24 + 
       (155*t[9])/32 - (19*t[10])/64 - (25*t[11])/192 - (177*t[12])/64 + 
       (23*t[13])/288 + (5035*t[14])/1152 + (19*t[15])/288 + t[19]/2 - 
       t[20]/2 - t[21]/2 + t[22]/4 + t[23]/2 - t[25]/3 - (17*t[26])/24 - 
       t[27]/4 + t[29]/4 + (3*t[30])/4 + t[31]/2 + t[32]/4 - t[33]/4 - 
       t[34]/8 + t[36]/4 - (7*t[37])/6 + (7*t[38])/6 + t[39]/4 - 
       (5*t[40])/8 - t[41]/16 + t[42]/16 + t[43]/8 + t[45]/4 + (13*t[46])/8 + 
       (37*t[48])/64 - (91*t[49])/64 + (175*t[50])/192 - (707*t[51])/384 + 
       (89*t[52])/192 + (197*t[53])/192 + (737*t[54])/192 - (25*t[59])/24 - 
       (89*t[60])/24 + (671*t[61])/96 - t[62]/8 + (115*t[63])/24 + 
       (357*t[64])/64 - (23*t[65])/12 - (37*t[66])/4 - (5*t[69])/6 - 
       t[70]/12 + t[71]/12 - (17*t[73])/24 + t[74]/6 - (23*t[75])/24 - 
       (3*t[76])/4 - t[77]/2 + 2*t[78] + (5*t[79])/12 - 2*t[80] + 
       (23*t[81])/48 - (35*t[82])/48 + (5*t[83])/6 - (7*t[84])/24 - 
       (107*t[85])/96 - (5*t[86])/12 + (35*t[87])/8 - (3*t[88])/16 - 
       (53*t[89])/96 + t[95]/2 + t[96]/2 - t[97]/2 - 3*t[98] + 6*t[99] - 
       10*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-61*t[1])/72 + (649*t[2])/144 + (449*t[3])/36 - 
       (1685*t[4])/36 - (515*t[5])/72 - (1087*t[6])/96 - (112*t[7])/9 - 
       (553*t[8])/18 + (793*t[9])/144 - (1885*t[10])/36 - (11015*t[11])/288 + 
       (191*t[12])/72 - (13321*t[13])/648 - (16969*t[14])/432 + 
       (3095*t[15])/864 + t[16] + 2*t[19] - (15*t[25])/4 - (49*t[26])/36 + 
       (5*t[27])/18 + (3*t[28])/4 - t[29]/2 - (5*t[30])/6 - (7*t[31])/9 - 
       2*t[32] + 2*t[33] + (155*t[34])/36 + t[35]/2 - (35*t[36])/4 + 
       (2*t[37])/9 + (79*t[38])/36 - (5*t[39])/4 + (71*t[40])/18 - 
       (155*t[41])/72 + (155*t[42])/72 - (5*t[43])/12 - 4*t[44] - 
       (11*t[45])/18 - (5*t[46])/6 - (7*t[47])/9 - (77*t[48])/32 - 
       (109*t[49])/18 + (2339*t[50])/288 + (5189*t[51])/288 - 
       (2459*t[52])/288 + (973*t[53])/144 + (2989*t[54])/96 - (5*t[58])/18 - 
       (361*t[59])/72 - (5029*t[60])/144 - (15569*t[61])/144 + 
       (15103*t[62])/288 + (20483*t[63])/288 + (2991*t[64])/32 + 
       (437*t[65])/24 + (14209*t[66])/216 - (5*t[69])/6 + (29*t[70])/18 - 
       (29*t[71])/18 + t[72]/6 - (163*t[73])/12 - t[74]/2 + (415*t[75])/12 - 
       (157*t[76])/36 - (113*t[77])/36 + (853*t[78])/36 - (21*t[79])/2 + 
       (295*t[81])/36 + (41*t[82])/36 - (115*t[83])/18 - (197*t[84])/24 - 
       (77*t[85])/72 + 24*t[86] - (1135*t[87])/144 - (1277*t[88])/96 - 
       (1459*t[89])/48 + (14*t[95])/3 - (155*t[96])/18 - (25*t[97])/4 - 
       (13*t[98])/3 + 21*t[99] - (19*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      ((11*t[1])/2 - (3*t[2])/2 + (15*t[3])/4 + (243*t[4])/8 + t[5]/4 + 
       (115*t[6])/8 - (11*t[7])/4 + (3*t[8])/4 - (19*t[9])/2 + 
       (49*t[10])/16 + (291*t[11])/8 - (7*t[12])/16 + (809*t[13])/36 - 
       (1081*t[14])/96 - (679*t[15])/144 + 2*t[25] - 6*t[26] + 2*t[27] + 
       t[28] + t[29] - 3*t[31] + t[32] - t[33] - 4*t[35] - 7*t[36] - 
       2*t[37] + (9*t[38])/2 + t[39]/2 - t[40] - 4*t[44] - t[46]/2 + t[47] - 
       t[48]/8 - (213*t[49])/16 + (27*t[50])/8 + (149*t[51])/32 - 
       (27*t[52])/8 - (3*t[53])/16 - (45*t[54])/2 + t[58] - 2*t[59] + 
       (405*t[60])/8 + (107*t[61])/8 - (109*t[62])/16 - (1195*t[63])/16 + 
       (415*t[64])/16 + (167*t[65])/24 + (101*t[66])/24 + 2*t[69] + 2*t[70] - 
       2*t[71] + 6*t[72] + 4*t[73] + 4*t[74] - 5*t[75] - 10*t[76] + 2*t[77] + 
       9*t[78] + 12*t[79] - 7*t[80] - (9*t[81])/2 - t[82]/2 - 3*t[83] + 
       (153*t[84])/8 + (15*t[85])/8 - 2*t[86] + (161*t[87])/8 + 
       (465*t[88])/16 + (259*t[89])/16 - 8*t[95] - 7*t[96] - 72*t[98] + 
       64*t[99] - (19*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((65*t[1])/18 + (5*t[2])/6 + 
       (2*t[3])/3 - (137*t[4])/72 - (1235*t[5])/144 + (247*t[6])/24 - 
       (199*t[7])/72 - (511*t[8])/72 + (1091*t[9])/144 - (23*t[10])/36 + 
       (295*t[11])/72 + (391*t[12])/144 - (11*t[13])/18 - (245*t[14])/36 - 
       (821*t[15])/288 - (65*t[26])/18 + (4*t[27])/3 + 2*t[28] + 2*t[30] + 
       (2*t[31])/3 + (2*t[34])/3 - 4*t[35] - (65*t[36])/18 + (2*t[37])/3 + 
       (65*t[38])/18 - (2*t[40])/3 - t[41]/3 + t[42]/3 + t[43] - 2*t[44] + 
       (2*t[45])/3 + t[46]/8 - (4*t[47])/3 - (17*t[48])/24 - (353*t[49])/36 + 
       (21*t[50])/8 + (287*t[51])/48 - (5*t[52])/8 + (409*t[53])/72 - 
       (26*t[54])/9 + (2*t[58])/3 - (101*t[59])/36 + (62*t[60])/9 - 
       (169*t[61])/18 + (335*t[62])/18 - (985*t[63])/72 - (49*t[64])/24 + 
       (2909*t[65])/216 + (209*t[66])/72 + (5*t[69])/3 + (4*t[70])/3 - 
       (4*t[71])/3 + (29*t[73])/6 + (7*t[74])/9 - (13*t[75])/6 - 
       (16*t[76])/3 + (4*t[77])/3 + (22*t[78])/3 + (43*t[79])/6 - 8*t[80] + 
       (53*t[81])/18 - (53*t[82])/18 - (22*t[83])/9 + (475*t[84])/72 + 
       (265*t[85])/72 - (175*t[86])/18 + (341*t[87])/24 + (2083*t[88])/144 + 
       (125*t[89])/36 - (14*t[95])/9 - (16*t[96])/3 - 2*t[97] - 40*t[98] + 
       48*t[99] - (55*t[100])/6) + HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 
       1 - v]*(8*t[1] - 16*t[4] + (51*t[5])/8 + (3*t[7])/4 + (3*t[8])/4 - 
       (51*t[9])/8 + 9*t[10] - (223*t[11])/4 - (297*t[12])/8 - (91*t[13])/6 + 
       (13*t[14])/3 - (281*t[15])/48 + (3*t[16])/2 - 8*t[26] + 19*t[36] + 
       8*t[38] - 35*t[46] + (83*t[49])/4 + (157*t[51])/8 - (83*t[53])/4 - 
       (5*t[59])/2 - 9*t[60] + (53*t[61])/2 - (41*t[62])/4 + 109*t[63] - 
       6*t[64] + (71*t[65])/6 + (335*t[66])/6 + 3*t[69] - 3*t[70] + 3*t[71] - 
       40*t[73] - 16*t[74] + 45*t[75] + 3*t[79] + 43*t[83] + 3*t[86] + 
       6*t[87] + 3*t[88] - (29*t[89])/4 - 9*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*((-3*t[3])/4 + 16*t[4] - 
       (117*t[5])/8 - 6*t[6] + (3*t[7])/4 + (9*t[8])/4 + (123*t[9])/8 + 
       2*t[10] + (55*t[11])/4 + (21*t[12])/8 + (253*t[13])/24 + 
       (67*t[14])/24 - (79*t[15])/16 + (19*t[46])/2 - 6*t[48] - (9*t[49])/4 - 
       (15*t[50])/2 - (21*t[51])/4 + (15*t[52])/2 + (9*t[53])/4 + 
       (15*t[54])/2 + (27*t[60])/2 - (5*t[61])/2 + (45*t[62])/4 - 
       (229*t[63])/4 + 11*t[64] + (37*t[65])/12 - (647*t[66])/12 - 40*t[73] + 
       45*t[75] + (19*t[81])/2 - (19*t[82])/2 + 40*t[83] + (3*t[84])/4 + 
       (27*t[85])/2 - 12*t[87] - 6*t[88] + 12*t[89] - 9*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[u, v, w]*
      ((5*t[1])/3 + (7*t[3])/6 + (61*t[4])/12 + (11*t[5])/12 - (3*t[6])/2 + 
       (7*t[7])/3 + 2*t[8] - (25*t[9])/12 + (101*t[10])/24 + 4*t[11] - 
       (101*t[12])/8 - (71*t[13])/18 + (1285*t[14])/144 - (127*t[15])/36 - 
       t[25]/3 - (4*t[26])/3 - t[28] - t[31] + t[35] + (5*t[36])/3 + 
       (5*t[38])/3 - t[39] + t[40] - t[45] - (5*t[46])/2 + 2*t[47] + 
       (47*t[49])/8 + (4*t[50])/3 - (101*t[51])/48 - (4*t[52])/3 - 
       (43*t[53])/8 - 4*t[54] - (17*t[59])/12 + (71*t[60])/12 + 
       (23*t[61])/2 - (535*t[62])/24 + (307*t[63])/24 - (23*t[64])/6 - 
       (229*t[65])/18 - (17*t[66])/3 - 4*t[69] + t[70] - t[71] - 2*t[73] + 
       t[74]/3 - 5*t[75] - t[77] - t[78] + 2*t[79] + 2*t[80] - (5*t[81])/3 + 
       (5*t[82])/3 + (13*t[83])/2 + (3*t[84])/2 + (4*t[85])/3 + 16*t[86] - 
       (21*t[87])/4 - (43*t[88])/24 - (227*t[89])/24 - (8*t[95])/3 - 
       9*t[100]) + HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      ((-3*t[1])/8 + (9*t[2])/8 - (3*t[3])/8 - (11*t[4])/4 + (17*t[5])/16 + 
       (47*t[6])/16 - (17*t[7])/8 + (25*t[8])/8 - (27*t[9])/16 - 
       (73*t[10])/8 - (29*t[11])/16 + (45*t[12])/16 + (743*t[13])/144 - 
       (99*t[14])/16 + (209*t[15])/96 + t[19] + t[20] + t[21] - t[22] - 
       t[23] - t[27] + t[29]/2 - t[32]/2 + t[33]/2 + t[34]/4 - t[37]/2 - 
       t[38]/4 - (3*t[39])/4 + t[40]/2 + (3*t[41])/8 - (3*t[42])/8 - t[45] + 
       t[47] + (21*t[48])/16 - (7*t[49])/4 + (13*t[50])/16 + (35*t[51])/16 - 
       t[52]/16 + (3*t[53])/4 + (51*t[54])/16 + t[59]/8 + (37*t[60])/8 - 
       (29*t[61])/8 + (59*t[62])/8 - (35*t[63])/8 + (173*t[64])/16 + 
       (85*t[65])/12 + (57*t[66])/8 + t[72]/2 - (9*t[76])/4 - t[77]/2 + 
       (19*t[78])/4 + 4*t[80] + t[82]/2 - t[83]/2 + 3*t[84] - t[85] + 
       3*t[86] + (7*t[87])/2 + (3*t[88])/2 + (45*t[89])/16 - (3*t[96])/2 - 
       (3*t[97])/4 - 12*t[98] + 12*t[99] - 9*t[100]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*((17*t[1])/8 - t[2]/8 - 
       (25*t[3])/8 + (15*t[4])/8 - (77*t[5])/16 + (29*t[6])/8 + (31*t[7])/8 + 
       (33*t[8])/8 + (97*t[9])/16 + (35*t[10])/16 + (19*t[11])/4 - 
       (11*t[12])/4 + (55*t[13])/48 + (305*t[14])/96 + (91*t[15])/96 + 
       t[19] - t[20] - t[21] + t[22]/2 + t[23] - (3*t[26])/2 - t[27]/2 + 
       t[29]/2 + t[32]/2 - t[33]/2 - t[34]/4 - t[37] + (7*t[38])/4 + 
       t[39]/2 - t[40] - t[41]/8 + t[42]/8 + t[45]/2 - t[46]/2 - 
       (3*t[48])/8 + (11*t[49])/16 + (17*t[50])/8 + (13*t[51])/32 - 
       (7*t[52])/8 - (3*t[53])/16 - t[54]/4 - (5*t[59])/8 + (15*t[60])/4 + 
       10*t[61] - (33*t[62])/8 - (19*t[63])/8 - (5*t[64])/8 - t[65] - 
       (7*t[66])/2 + t[72] - 2*t[76] + (17*t[78])/4 - (9*t[80])/2 + t[81]/4 - 
       (5*t[82])/4 + (5*t[84])/2 - (11*t[85])/4 + t[86] + (17*t[87])/4 + 
       (17*t[88])/8 + t[89]/2 - t[97]/4 - 12*t[98] + 12*t[99] - 9*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((-13*t[1])/12 + (7*t[2])/12 - (3*t[3])/2 - (35*t[4])/16 - 
       (79*t[5])/24 + (499*t[6])/96 - (49*t[7])/16 + (77*t[8])/48 + 
       (31*t[9])/8 + (65*t[10])/96 - (267*t[11])/32 + (149*t[12])/32 - 
       (17*t[13])/4 - (1723*t[14])/576 + (1033*t[15])/288 - t[25]/2 + 
       (19*t[26])/12 - t[27]/12 + t[28] + (4*t[31])/3 + t[34]/6 - t[35] - 
       t[36]/2 - (7*t[37])/12 - (13*t[38])/12 + (4*t[39])/3 - (7*t[40])/6 - 
       t[41]/12 + t[42]/12 + (7*t[45])/6 - (13*t[46])/24 - (7*t[47])/3 + 
       (25*t[48])/32 - (41*t[49])/96 - (133*t[50])/96 + (145*t[51])/64 + 
       (181*t[52])/96 + (173*t[53])/96 + (349*t[54])/96 + t[58]/6 + 
       (23*t[59])/24 + (19*t[60])/6 - (47*t[61])/16 + (137*t[62])/6 - 
       (49*t[63])/12 - (511*t[64])/32 + (313*t[65])/36 + (173*t[66])/9 + 
       t[69] - t[70]/6 + t[71]/6 - (2*t[72])/3 + t[73]/4 + t[74]/4 + 
       (17*t[75])/4 - (47*t[76])/12 + (7*t[77])/6 + (16*t[78])/3 - t[79]/4 - 
       (8*t[80])/3 - (3*t[81])/8 - (19*t[82])/24 - (25*t[83])/3 + 
       (5*t[84])/3 - (5*t[85])/16 - (199*t[86])/12 - (95*t[87])/24 - 
       (5*t[88])/16 + (419*t[89])/48 - t[95] - (4*t[96])/3 - t[97]/2 - 
       16*t[98] + 24*t[99] - (17*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*((11*t[1])/24 - (13*t[2])/8 + 
       (3*t[3])/8 - (19*t[4])/12 + (127*t[5])/48 - (55*t[6])/16 - 
       (7*t[7])/24 - (61*t[8])/24 - (97*t[9])/48 - (25*t[10])/24 + 
       (71*t[11])/48 + (139*t[12])/48 + (409*t[13])/144 - (29*t[14])/8 + 
       (149*t[15])/96 - (7*t[26])/12 - t[34]/4 - t[36]/3 + (7*t[38])/12 + 
       t[39]/4 + t[40]/2 + t[41]/8 - t[42]/8 + t[46]/4 - (17*t[48])/16 + 
       (4*t[49])/3 - (49*t[50])/16 + t[51] + (21*t[52])/16 + (5*t[53])/12 + 
       (43*t[54])/48 - t[58]/4 + (5*t[59])/24 - (5*t[60])/24 + 
       (59*t[61])/24 - (83*t[62])/48 - (257*t[63])/48 + (179*t[64])/16 - 
       (103*t[65])/72 - (23*t[66])/8 + t[72]/2 + t[73] - (2*t[74])/3 + 
       3*t[75] + (15*t[76])/4 + t[77]/2 - (7*t[78])/2 - t[79] + (5*t[80])/2 + 
       t[81]/12 - (7*t[82])/12 - (17*t[83])/6 - (113*t[84])/24 - 
       (53*t[85])/24 + t[86]/3 - t[87]/8 - (23*t[88])/48 - (25*t[89])/48 + 
       (4*t[95])/3 + (3*t[96])/2 + (5*t[97])/4 + 24*t[98] - 24*t[99] - 
       8*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-253*t[1])/36 + (679*t[2])/72 - (89*t[3])/18 - 
       (11495*t[4])/288 - (325*t[5])/24 + (3817*t[6])/144 - (37*t[7])/12 + 
       (83*t[8])/4 + (179*t[9])/12 - (19339*t[10])/576 - (1673*t[11])/36 + 
       (13097*t[12])/576 - (11707*t[13])/864 - (53435*t[14])/3456 + 
       (1913*t[15])/192 + 2*t[19] + 2*t[20] + 2*t[21] - 2*t[22] - 2*t[23] + 
       (5*t[25])/9 + (109*t[26])/18 - (20*t[27])/9 - (5*t[28])/6 + t[29] + 
       (2*t[30])/3 + (14*t[31])/9 - t[32] + t[33] + (13*t[34])/9 + 
       (5*t[35])/3 + (5*t[36])/6 - (19*t[37])/18 - (64*t[38])/9 - 
       (16*t[39])/9 - (5*t[40])/18 + (5*t[41])/18 - (5*t[42])/18 - 
       (2*t[43])/3 + (17*t[44])/6 - (19*t[45])/18 - (23*t[46])/18 + t[47]/9 + 
       (443*t[48])/48 - (1691*t[49])/192 + (201*t[50])/16 + 
       (8135*t[51])/1152 - (107*t[52])/48 + (577*t[53])/64 + (807*t[54])/32 + 
       (17*t[58])/18 - t[59]/36 - (22405*t[60])/288 - (6017*t[61])/288 + 
       (44333*t[62])/576 - (19957*t[63])/576 + (31535*t[64])/576 - 
       (34745*t[65])/864 + (12533*t[66])/864 - (49*t[70])/9 + (49*t[71])/9 - 
       (25*t[72])/9 + 4*t[73] + t[74]/3 - 4*t[75] - (145*t[76])/9 - 
       (79*t[77])/18 + (251*t[78])/9 - (145*t[80])/9 - 3*t[81] + 
       (103*t[82])/18 - (95*t[83])/18 - (6641*t[84])/288 - (1649*t[85])/288 + 
       (16*t[86])/3 + (18341*t[87])/288 + (349*t[88])/64 - 
       (10739*t[89])/576 - 3*t[95] - (74*t[96])/9 - (32*t[97])/3 - 
       (248*t[98])/3 + 94*t[99] - 8*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((-7*t[1])/16 + (9*t[2])/8 - 
       (11*t[3])/16 - (2225*t[4])/288 + (25*t[5])/576 + (33*t[6])/16 - 
       (115*t[7])/288 + (677*t[8])/288 + (911*t[9])/576 - (6797*t[10])/576 - 
       (1009*t[11])/288 + (359*t[12])/72 + (67*t[13])/216 - 
       (2563*t[14])/432 + (1103*t[15])/384 + t[19]/2 + t[20]/2 + t[21]/2 - 
       t[22]/2 - t[23]/2 + t[26]/4 - t[27]/2 + t[29]/4 + (3*t[30])/4 + 
       t[31]/2 - t[32]/4 + t[33]/4 + t[34]/8 + (13*t[36])/24 + t[37]/4 - 
       (3*t[38])/8 - t[39]/4 - t[40]/8 + (3*t[41])/16 - (3*t[42])/16 + 
       t[43]/8 - (3*t[45])/4 + t[47] + (11*t[48])/8 - (581*t[49])/576 + 
       (9*t[50])/8 + (611*t[51])/192 + (1445*t[53])/576 + (145*t[54])/24 + 
       t[59]/8 - (2645*t[60])/288 - (791*t[61])/96 + (2647*t[62])/288 + 
       (1057*t[63])/288 + (11171*t[64])/576 - (101*t[65])/432 + 
       (2527*t[66])/432 + (5*t[69])/12 - t[70]/2 + t[71]/2 - t[72] - 
       (7*t[73])/24 - t[74]/4 - (13*t[75])/24 - (3*t[76])/4 - t[77]/4 + 
       (7*t[78])/4 + (7*t[79])/24 + (3*t[80])/2 - t[81]/8 + t[82]/8 + 
       (13*t[83])/18 - (119*t[84])/48 - (79*t[85])/24 + (137*t[86])/72 + 
       (653*t[87])/288 - (787*t[88])/576 - (59*t[89])/64 + t[95]/2 - 
       (3*t[97])/4 - 3*t[98] + 6*t[99] - (95*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((5*t[1])/2 - (7*t[3])/4 - (35*t[4])/2 - (47*t[5])/8 + (121*t[6])/16 - 
       (11*t[7])/4 + (19*t[8])/4 + (61*t[9])/8 - (183*t[10])/8 - 
       (163*t[11])/16 + (71*t[12])/8 - (27*t[13])/2 + (331*t[14])/48 + 
       (197*t[15])/48 + 2*t[16] - (5*t[25])/2 - 2*t[27] + 3*t[36] + 
       (5*t[38])/2 - (9*t[46])/4 + (9*t[48])/16 + (7*t[49])/8 - 
       (47*t[50])/16 + (45*t[51])/4 + (47*t[52])/16 + (13*t[53])/8 + 
       (455*t[54])/16 - (5*t[59])/4 - (163*t[60])/8 - (87*t[61])/8 - 
       (219*t[62])/16 + (357*t[63])/16 + (509*t[64])/16 - (113*t[65])/4 - 
       (169*t[66])/6 + 4*t[69] + 2*t[72] - t[74] - 6*t[75] + 2*t[79] + 
       (11*t[81])/4 - (11*t[82])/4 + 7*t[83] - (87*t[84])/4 - (185*t[85])/8 - 
       10*t[86] - (167*t[87])/8 - (143*t[88])/16 - (619*t[89])/16 - 
       (15*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((145*t[1])/24 - (77*t[2])/18 - (119*t[3])/72 + 
       (12115*t[4])/576 + (181*t[5])/72 - (1693*t[6])/96 - (9*t[7])/2 - 
       (1151*t[8])/72 - (131*t[9])/48 - (2569*t[10])/384 + (4667*t[11])/288 - 
       (18443*t[12])/1152 + (92819*t[13])/5184 - (15079*t[14])/2304 - 
       (7105*t[15])/1152 + (3*t[16])/8 + (5*t[25])/18 - (73*t[26])/9 + 
       (7*t[27])/18 - t[28]/2 - t[29]/2 - (5*t[30])/12 + (31*t[31])/36 - 
       t[32]/2 + t[33]/2 - (2*t[34])/9 + 3*t[35] + (19*t[36])/36 + 
       (67*t[37])/36 + (29*t[38])/4 + t[39]/4 + (53*t[40])/36 + t[41]/9 - 
       t[42]/9 - (5*t[43])/24 + t[44] - (47*t[45])/36 - (65*t[46])/8 + 
       (19*t[47])/9 - (545*t[48])/96 + (15235*t[49])/1152 - 
       (1171*t[50])/288 + (27181*t[51])/2304 - (77*t[52])/288 - 
       (4043*t[53])/1152 - (2425*t[54])/192 - (8*t[58])/9 - (8*t[59])/9 + 
       (17039*t[60])/576 - (10831*t[61])/576 - (10375*t[62])/384 - 
       (1531*t[63])/128 - (11755*t[64])/1152 - (44647*t[65])/1728 - 
       (119465*t[66])/1728 + t[67]/8 + (20*t[69])/3 - (25*t[70])/9 + 
       (25*t[71])/9 - t[72]/6 + (13*t[73])/6 - (181*t[74])/36 + 
       (11*t[75])/6 + (439*t[76])/36 + (47*t[77])/36 - (97*t[78])/9 - 
       (19*t[79])/2 + 6*t[80] + (112*t[81])/9 - (163*t[82])/36 + 
       (181*t[83])/18 - (299*t[84])/64 + (317*t[85])/64 + (23*t[86])/6 - 
       (11213*t[87])/576 - (15101*t[88])/1152 - (14731*t[89])/1152 + 
       (43*t[95])/18 + (71*t[96])/18 + (5*t[97])/2 + (214*t[98])/3 - 
       73*t[99] - (15*t[100])/2) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(t[1]/3 - (7*t[3])/12 - (229*t[4])/12 - 
       (25*t[5])/24 + t[6]/2 + (9*t[7])/4 + (41*t[8])/12 + (13*t[9])/8 - 
       (183*t[10])/8 + (103*t[11])/12 + (149*t[12])/12 + (859*t[13])/72 - 
       (1589*t[14])/144 + (329*t[15])/144 + (2*t[25])/3 - t[26] + 2*t[37] + 
       t[38]/3 + 7*t[46] + t[48]/2 - (407*t[49])/24 - (2*t[50])/3 + 
       (61*t[51])/48 + (2*t[52])/3 + (431*t[53])/24 + (2*t[54])/3 - 
       (23*t[60])/4 - (35*t[61])/6 + (75*t[62])/8 - (733*t[63])/24 + 
       (265*t[64])/6 + (199*t[65])/12 - (23*t[66])/12 - 2*t[69] + t[70] - 
       t[71] - t[73] - 2*t[74] + 5*t[75] - 2*t[79] + t[81]/2 - t[82]/2 - 
       (25*t[83])/6 + (7*t[84])/12 + t[85]/6 + (20*t[86])/3 + (89*t[87])/4 + 
       (89*t[88])/8 + (93*t[89])/8 - 7*t[100]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((53*t[1])/24 - (55*t[2])/24 + 
       t[3]/12 + (217*t[4])/12 + 4*t[5] - (131*t[6])/24 - (3*t[7])/4 - 
       2*t[8] - (33*t[9])/8 + (1093*t[10])/192 + (1915*t[11])/96 - 
       (1013*t[12])/192 + (479*t[13])/32 + (1375*t[14])/576 - (97*t[15])/64 + 
       (5*t[25])/6 - (19*t[26])/6 + t[27]/6 + t[28] - t[30] - (5*t[31])/3 - 
       t[34]/3 - 2*t[35] + (5*t[37])/12 + (7*t[38])/3 - t[39]/6 + 
       (7*t[40])/12 + t[41]/6 - t[42]/6 - t[43]/2 - (3*t[44])/2 - 
       (7*t[45])/12 - (2*t[46])/3 + (7*t[47])/6 - (3*t[48])/2 + 
       (127*t[49])/64 - (15*t[50])/4 + (49*t[51])/96 + (3*t[52])/4 - 
       (207*t[53])/64 - 7*t[54] - t[58]/3 - (7*t[59])/24 + (2443*t[60])/96 + 
       (22*t[61])/3 - (409*t[62])/24 - (1325*t[63])/48 + (541*t[64])/48 - 
       (1589*t[65])/144 - (1931*t[66])/72 + t[69]/2 + t[70]/3 - t[71]/3 + 
       (17*t[72])/6 - t[73]/2 + t[74]/2 + t[75] + (23*t[76])/6 + 
       (7*t[77])/6 - (11*t[78])/3 + (7*t[79])/4 + (19*t[80])/3 + 2*t[81] - 
       (17*t[82])/12 - (7*t[83])/6 + (17*t[84])/6 - (5*t[85])/12 + 
       (13*t[86])/4 - (34*t[87])/3 - 2*t[88] - (49*t[89])/192 - t[95]/2 + 
       (7*t[96])/6 + 2*t[97] + 20*t[98] - 31*t[99] - 7*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((19*t[1])/6 - (37*t[2])/12 - (14*t[3])/3 + (119*t[4])/8 + (2*t[5])/3 - 
       (73*t[6])/24 + (47*t[7])/6 - (137*t[8])/12 + (175*t[9])/24 + 
       (73*t[10])/48 + (117*t[11])/4 - (115*t[12])/48 + (943*t[13])/72 + 
       (433*t[14])/144 + (1285*t[15])/432 + 2*t[19] - 2*t[20] - 2*t[21] + 
       t[22] + 2*t[23] + (7*t[25])/3 - (31*t[26])/6 - (2*t[27])/3 - t[28]/3 + 
       t[29] - (11*t[30])/6 - (7*t[31])/6 + t[32] - t[33] - (2*t[34])/3 + 
       (2*t[35])/3 - (7*t[36])/6 - t[37]/3 + (10*t[38])/3 + (2*t[39])/3 - 
       (4*t[40])/3 - t[41]/6 + t[42]/6 + t[43]/12 + (2*t[44])/3 + t[45] - 
       (133*t[48])/24 - (89*t[49])/48 + (119*t[50])/24 + (25*t[51])/12 - 
       (45*t[52])/8 - (25*t[53])/48 - (245*t[54])/24 - t[58]/6 - 
       (2*t[59])/3 + (191*t[60])/8 + (70*t[61])/3 - (193*t[62])/8 - 
       (551*t[63])/24 - (75*t[64])/16 - (277*t[65])/24 - (127*t[66])/8 + 
       (4*t[70])/3 - (4*t[71])/3 + (13*t[72])/3 - (5*t[73])/3 + (5*t[74])/6 + 
       (5*t[75])/3 - (7*t[76])/2 + (4*t[77])/3 + (25*t[78])/6 - 
       (34*t[80])/3 - t[81]/12 - (31*t[82])/12 + t[83] + (143*t[84])/24 - 
       (121*t[85])/12 - (5*t[86])/3 + (11*t[87])/24 + (105*t[88])/16 + 
       (59*t[89])/48 - (2*t[95])/3 - t[96]/3 + (4*t[97])/3 - 26*t[98] + 
       14*t[99] - 7*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2*((13*t[1])/8 + (31*t[2])/8 + (17*t[3])/12 + 
       (625*t[4])/32 - (259*t[5])/96 + (895*t[6])/96 - (13*t[7])/6 + 
       (59*t[8])/12 + (67*t[9])/96 - (4219*t[10])/192 + (431*t[11])/32 + 
       (445*t[12])/64 + (14437*t[13])/864 - (23153*t[14])/1152 - 
       (271*t[15])/288 + t[19] + 3*t[20] + 3*t[21] - (3*t[22])/2 - 3*t[23] + 
       (11*t[25])/6 - (43*t[26])/12 + (5*t[27])/6 + (3*t[28])/2 + t[30]/2 + 
       t[31]/6 + t[34]/2 - 3*t[35] - (15*t[36])/4 + (5*t[37])/4 + 
       (7*t[38])/4 + (7*t[39])/12 - (3*t[40])/4 + (3*t[41])/2 - (3*t[42])/2 + 
       t[43]/4 - 4*t[44] - (5*t[45])/4 + (5*t[46])/6 + (5*t[47])/2 + 
       (17*t[48])/32 - (2893*t[49])/192 + (283*t[50])/96 + (2129*t[51])/384 - 
       (139*t[52])/96 + (749*t[53])/192 - (99*t[54])/8 + t[58]/2 - 
       (5*t[59])/4 + (1695*t[60])/32 - (75*t[61])/32 + (2921*t[62])/192 - 
       (4651*t[63])/64 - (5009*t[64])/192 + (4505*t[65])/288 + 
       (745*t[66])/96 + (5*t[70])/2 - (5*t[71])/2 + (4*t[72])/3 + t[73] + 
       (13*t[74])/4 - 2*t[75] - (40*t[76])/3 + (25*t[77])/12 + (63*t[78])/4 + 
       2*t[79] + (13*t[80])/3 - (83*t[81])/24 - (5*t[82])/24 + 5*t[83] + 
       (2033*t[84])/96 + (691*t[85])/96 + (19*t[86])/2 + (327*t[87])/32 + 
       (1047*t[88])/64 + (4199*t[89])/192 - (11*t[95])/2 - 7*t[96] - 
       (3*t[97])/2 - 78*t[98] + 82*t[99] - 7*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      ((-29*t[1])/144 - (23*t[2])/24 + (73*t[3])/24 - (14957*t[4])/1152 + 
       (2041*t[5])/576 - (87*t[6])/32 - (71*t[7])/144 - (415*t[8])/72 - 
       (925*t[9])/576 - (19019*t[10])/2304 - (505*t[11])/144 + 
       (16609*t[12])/2304 + (911*t[13])/1152 - (3215*t[14])/512 + 
       (1643*t[15])/768 + t[25]/12 - (4*t[26])/9 - t[27]/12 - t[28]/4 + 
       t[29]/4 + t[30]/8 - (7*t[31])/24 + t[32]/4 - t[33]/4 + (5*t[34])/24 - 
       (7*t[36])/36 - (13*t[37])/24 + (13*t[38])/144 + t[39]/48 + 
       (5*t[40])/8 - (5*t[41])/48 + (5*t[42])/48 + t[43]/16 - t[45]/24 - 
       t[46]/24 + t[47]/3 - (103*t[48])/48 - (10445*t[49])/2304 - 
       (37*t[50])/48 + (2021*t[51])/512 - (41*t[52])/48 + 
       (12197*t[53])/2304 + (7223*t[54])/1152 - t[58]/3 + (61*t[59])/144 - 
       (18293*t[60])/1152 - (3355*t[61])/1152 + (5935*t[62])/2304 + 
       (31633*t[63])/2304 + (8369*t[64])/256 + (5333*t[65])/3456 + 
       (8089*t[66])/1152 + (7*t[69])/12 - (7*t[70])/12 + (7*t[71])/12 + 
       t[72]/4 + t[73] - (29*t[74])/36 + (13*t[75])/12 + (79*t[76])/24 - 
       t[77]/6 - (71*t[78])/24 + t[79]/4 + (7*t[80])/3 - (157*t[81])/72 + 
       (19*t[82])/18 - (239*t[83])/72 - (7559*t[84])/1152 - 
       (4895*t[85])/1152 + (43*t[86])/36 + (1661*t[87])/384 + 
       (1879*t[88])/2304 - (16015*t[89])/2304 + (49*t[95])/36 + 
       (11*t[96])/24 + t[97]/2 + 16*t[98] - (33*t[99])/2 - (163*t[100])/24) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-145*t[1])/72 - 2*t[3] + (209*t[4])/9 - (283*t[5])/288 + 
       (59*t[6])/24 - (497*t[7])/144 - (497*t[8])/144 + (715*t[9])/288 + 
       (16651*t[10])/576 + (157*t[11])/288 - (7355*t[12])/576 - 
       (4811*t[13])/864 + (16921*t[14])/1152 - (1091*t[15])/288 + 
       (145*t[26])/72 + 2*t[28] + 2*t[31] - 2*t[35] - (37*t[36])/36 - 
       (145*t[38])/72 + 2*t[39] - 2*t[40] + 2*t[45] + (77*t[46])/48 - 
       4*t[47] + (19*t[48])/24 + (3469*t[49])/576 - (29*t[50])/24 - 
       (4297*t[51])/384 + (29*t[52])/24 - (4777*t[53])/576 - 
       (1871*t[54])/144 + (145*t[59])/144 + (8923*t[60])/288 + 
       (7841*t[61])/288 + (2887*t[62])/576 + (3649*t[63])/576 - 
       (15071*t[64])/192 - (1793*t[65])/432 - (587*t[66])/144 - t[69]/6 - 
       (7*t[73])/4 + (25*t[74])/9 - (11*t[75])/12 - t[76] + 2*t[77] + 
       2*t[78] + (7*t[79])/4 - 4*t[80] + (77*t[81])/18 - (29*t[82])/18 - 
       (11*t[83])/18 + (1757*t[84])/144 + (1529*t[85])/144 - (929*t[86])/36 - 
       (51*t[87])/4 - (719*t[88])/144 + (7001*t[89])/576 - (14*t[95])/9 - 
       (77*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((79*t[1])/24 - (71*t[2])/48 + (15*t[3])/2 + 
       (3827*t[4])/576 + (331*t[5])/36 + (271*t[6])/16 - (149*t[7])/144 - 
       (491*t[8])/144 - (34*t[9])/9 - (35623*t[10])/1152 + (2123*t[11])/72 + 
       (26393*t[12])/1152 + (34609*t[13])/1728 - (212725*t[14])/6912 + 
       (3565*t[15])/3456 + (5*t[25])/6 - (35*t[26])/12 + (4*t[27])/3 + 
       (19*t[28])/12 + 2*t[29] + (31*t[30])/12 + (5*t[31])/4 + 2*t[32] - 
       2*t[33] - t[34]/3 - (31*t[35])/6 - (19*t[36])/2 - (7*t[37])/12 + 
       (31*t[38])/12 + (5*t[39])/2 - (11*t[40])/3 + t[41]/6 - t[42]/6 + 
       (31*t[43])/24 - (41*t[44])/12 + (5*t[45])/4 - (11*t[46])/12 - 
       t[47]/2 - (7*t[48])/16 - (17809*t[49])/1152 + (21*t[50])/16 + 
       (13199*t[51])/768 - (55*t[52])/48 + (14257*t[53])/1152 + 
       (677*t[54])/192 + (2*t[58])/3 - (9*t[59])/8 + (7415*t[60])/576 - 
       (2223*t[61])/64 + (14647*t[62])/1152 - (68999*t[63])/1152 + 
       (122293*t[64])/1152 - (59735*t[65])/1728 - (5513*t[66])/1728 + 
       4*t[69] + (4*t[70])/3 - (4*t[71])/3 + (5*t[72])/2 + (97*t[73])/12 + 
       (17*t[74])/6 - (125*t[75])/12 + 2*t[76] + (10*t[77])/3 - 
       (25*t[78])/12 + (45*t[79])/4 - (25*t[80])/3 - 5*t[81] + (7*t[82])/4 - 
       (217*t[83])/36 - (1441*t[84])/192 - (2545*t[85])/192 - 
       (569*t[86])/36 - (1457*t[87])/576 + (10543*t[88])/1152 - 
       (1657*t[89])/384 - (29*t[95])/6 - (13*t[96])/6 + (5*t[97])/12 - 
       19*t[98] + 14*t[99] - (37*t[100])/6) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w]*((-73*t[1])/36 - (13*t[3])/6 + 
       (737*t[4])/72 - (227*t[5])/288 + (199*t[6])/48 - (475*t[7])/144 - 
       (427*t[8])/144 + (851*t[9])/288 + (1219*t[10])/288 + (121*t[11])/144 - 
       (121*t[12])/144 + (2491*t[13])/432 + (905*t[14])/192 + (93*t[15])/64 + 
       t[25]/3 + (61*t[26])/36 + 2*t[28] + 2*t[31] - 2*t[35] - 
       (17*t[36])/36 - (73*t[38])/36 + 2*t[39] - 2*t[40] + 2*t[45] + 
       (65*t[46])/16 - 4*t[47] + (55*t[48])/48 - (1523*t[49])/288 - 
       (19*t[50])/16 - (1061*t[51])/192 + (19*t[52])/16 - (103*t[53])/288 - 
       (397*t[54])/144 + (25*t[59])/72 + (1765*t[60])/144 + 
       (1739*t[61])/144 + (3157*t[62])/288 - (2615*t[63])/288 - 
       (859*t[64])/32 - (941*t[65])/216 - (685*t[66])/72 - t[69]/6 - 
       (31*t[73])/12 + (55*t[74])/18 - (49*t[75])/12 + 2*t[77] + 2*t[78] + 
       (31*t[79])/12 - 4*t[80] + (53*t[81])/36 - (53*t[82])/36 + 
       (47*t[83])/18 + (55*t[84])/9 + (287*t[85])/72 - (931*t[86])/36 - 
       (151*t[87])/24 - (271*t[88])/144 + (3755*t[89])/288 - (19*t[95])/9 - 
       (73*t[100])/12) + B6[w, v, u]*HPL[{1}, 1 - u]*
      (-t[3]/2 + (3*t[4])/2 - t[5] + (19*t[6])/8 - t[7]/2 + (5*t[8])/2 + 
       (3*t[9])/2 + (5*t[10])/4 + (7*t[11])/8 - t[12]/2 + (37*t[14])/8 - 
       (2*t[15])/3 - t[27] - t[46]/2 + (3*t[48])/8 + (3*t[49])/4 - 
       (5*t[50])/8 + (5*t[52])/8 - (3*t[53])/4 + (9*t[54])/8 + (19*t[60])/4 + 
       (19*t[61])/4 - (21*t[62])/8 + (9*t[63])/8 - (39*t[64])/8 - 
       (10*t[65])/3 - (35*t[66])/6 - t[73] + t[75] + t[81]/2 - t[82]/2 + 
       t[83] + t[84] - t[85]/4 - (11*t[87])/4 - (11*t[88])/8 - (13*t[89])/8 - 
       6*t[100]) + B5[v, u, w]*HPL[{1}, 1 - v]*(t[1]/2 - t[3]/2 - t[5]/4 + 
       t[6]/4 + (3*t[7])/2 + (5*t[8])/2 + (3*t[9])/4 + (3*t[10])/2 + 
       (7*t[11])/4 - (3*t[12])/4 + t[13]/12 + (3*t[14])/2 + (11*t[15])/24 - 
       t[31] + t[48]/4 + t[50]/4 - t[52]/4 - t[54]/4 + t[59]/2 + t[60]/2 + 
       6*t[61] - (23*t[62])/4 - t[63]/4 + (9*t[64])/4 + t[65]/6 - 
       (11*t[66])/6 + t[72] + t[83] + t[84]/2 - t[85]/2 + 4*t[86] + t[87]/2 + 
       t[88]/4 - (5*t[89])/4 - 6*t[100]) + B5[u, w, v]*HPL[{1}, 1 - u]*
      (-t[4] - t[5]/2 + t[9]/2 - t[10]/2 + t[11] + t[12] - t[13]/3 + 
       t[14]/12 + t[15]/12 - t[49]/2 + t[51]/4 + t[53]/2 + 2*t[61] + t[63] - 
       (2*t[65])/3 - t[83] - t[89] - 6*t[100]) + B6[w, u, v]*HPL[{1}, 1 - v]*
      ((3*t[4])/2 - t[5]/8 + t[6]/2 + t[9]/8 + t[10]/4 + (5*t[11])/4 - 
       t[12]/8 - (2*t[13])/3 + (19*t[14])/8 - (5*t[15])/48 - t[36] - 
       t[46]/2 + t[49]/4 + t[51]/4 - t[53]/4 + t[54]/2 + (3*t[60])/2 + 
       2*t[61] - t[62]/2 - t[63]/2 - 3*t[64] - (5*t[65])/3 - t[66] + t[72] - 
       t[73] + t[74] + t[75] + t[83] + t[84]/2 - t[85]/2 - (3*t[87])/2 - 
       (3*t[88])/4 - t[89] - 6*t[100]) + B5[u, v, w]*HPL[{1}, 1 - u]*
      (-t[3]/2 - t[5]/4 + (3*t[6])/4 - t[7]/2 + t[8]/2 + (3*t[9])/4 - 
       (3*t[10])/2 + (5*t[11])/4 + t[12]/4 + t[13]/12 + (5*t[14])/3 + 
       (7*t[15])/24 + (3*t[48])/4 - t[50]/4 + t[52]/4 + t[54]/4 + t[60]/2 + 
       (11*t[61])/2 + (7*t[62])/4 + (9*t[63])/4 - (9*t[64])/4 + (5*t[65])/6 - 
       (11*t[66])/6 + t[72] - t[83] + t[84]/2 - t[85]/2 - 4*t[86] - t[87]/2 - 
       t[88]/4 - (3*t[89])/4 - 6*t[100]) + B6[u, w, v]*HPL[{1}, 1 - u]*
      (-t[4] - t[5]/8 + t[9]/8 - t[10] + t[11]/4 + (5*t[12])/8 + t[13]/6 - 
       t[14]/6 + (7*t[15])/48 + t[36] + t[46]/2 - t[49]/2 - t[51]/8 + 
       t[53]/2 + t[61]/2 + (3*t[62])/4 + t[63]/4 - (3*t[64])/4 - t[65]/6 + 
       t[66]/2 - t[73] - t[74] + t[75] - t[89]/4 - 6*t[100]) + 
     B5[v, w, u]*HPL[{1}, 1 - v]*(-t[1] - t[3]/2 - t[4] - t[5]/4 + 
       (3*t[6])/4 + t[7]/2 + (3*t[8])/2 + (3*t[9])/4 - (3*t[10])/2 + 
       (5*t[11])/4 + (13*t[12])/4 + (3*t[13])/4 + (4*t[14])/3 + 
       (7*t[15])/24 + t[25] - t[38] + (3*t[48])/4 - t[50]/4 + t[52]/4 + 
       t[53] + t[54]/4 + t[59]/2 - t[60]/2 + 4*t[61] - (7*t[62])/4 - 
       t[63]/4 + t[64]/4 + (5*t[65])/6 - (19*t[66])/6 - t[83] + t[84]/2 - 
       t[85]/2 + t[87]/2 + t[88]/4 - t[89]/4 - 6*t[100]) + 
     B6[v, w, u]*HPL[{1}, 1 - v]*(-t[1] - t[3]/2 - t[5] + (3*t[6])/8 + 
       t[7]/2 + (3*t[8])/2 + (3*t[9])/2 - (5*t[10])/2 + (7*t[11])/8 + 
       (11*t[12])/4 + (13*t[13])/6 - (5*t[14])/12 + (5*t[15])/12 + t[25] - 
       t[38] - t[46]/2 + (3*t[48])/8 + t[49]/2 - (5*t[50])/8 + (5*t[51])/8 + 
       (5*t[52])/8 + t[53]/2 + (5*t[54])/8 + t[59]/2 + t[60]/4 + 
       (15*t[61])/4 + (9*t[62])/8 - (13*t[63])/8 + (23*t[64])/8 + 
       (11*t[65])/6 - 3*t[66] - t[73] + t[75] + t[81]/2 - t[82]/2 + t[84]/2 + 
       t[85]/4 - t[87]/4 - t[88]/8 + (13*t[89])/8 - 6*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((7*t[1])/3 + 2*t[3] + 12*t[4] + (5*t[5])/2 - 3*t[6] + 2*t[7] + 
       2*t[8] - (9*t[9])/2 + (41*t[10])/8 + (67*t[11])/12 - (143*t[12])/8 - 
       (31*t[13])/36 + (1663*t[14])/144 - (163*t[15])/24 - (7*t[26])/3 - 
       2*t[28] - 2*t[31] + 2*t[35] + (8*t[36])/3 + (7*t[38])/3 - 2*t[39] + 
       2*t[40] - 2*t[45] - 2*t[46] + 4*t[47] + (35*t[49])/8 + 2*t[50] - 
       (117*t[51])/16 - 2*t[52] - (63*t[53])/8 - (35*t[54])/3 - (7*t[59])/6 + 
       (65*t[60])/4 + (163*t[61])/12 - (497*t[62])/24 + (277*t[63])/24 - 
       (337*t[64])/24 - (13*t[65])/3 + (29*t[66])/9 - 3*t[69] - 2*t[73] - 
       (2*t[74])/3 - 4*t[75] - 2*t[77] - 2*t[78] + 2*t[79] + 4*t[80] - 
       (8*t[81])/3 + (8*t[82])/3 + (13*t[83])/2 + (23*t[84])/3 + 
       (23*t[85])/3 + 20*t[86] + (23*t[87])/3 + (14*t[88])/3 + 
       (25*t[89])/24 - (8*t[95])/3 - 6*t[100]) + B6[v, u, w]*HPL[{1}, 1 - v]*
      (t[1]/2 - t[3]/2 + (15*t[5])/8 - (3*t[6])/8 + t[7]/2 - (5*t[8])/2 - 
       (11*t[9])/8 + (11*t[10])/2 + (3*t[11])/8 - (17*t[12])/8 - 
       (19*t[13])/18 + (11*t[14])/6 + (33*t[15])/16 + 2*t[45] - 4*t[47] - 
       (3*t[48])/8 + (13*t[50])/8 - (13*t[52])/8 - (13*t[54])/8 + t[59]/2 + 
       (7*t[60])/4 + (15*t[61])/4 - (7*t[62])/8 + (35*t[63])/8 - 
       (89*t[64])/8 - (4*t[65])/3 + (23*t[66])/6 + t[72] - t[73] + t[75] - 
       t[76] + t[78] - 4*t[80] - t[81]/2 + t[82]/2 + t[83] + t[84]/2 - 
       (5*t[85])/4 - 4*t[86] - (3*t[87])/4 - (3*t[88])/8 - (19*t[89])/8 - 
       12*t[98] + 12*t[99] - 6*t[100]) + B6[u, v, w]*HPL[{1}, 1 - u]*
      (-t[3]/2 - (15*t[5])/8 + (3*t[6])/8 + t[7] + 2*t[8] + (19*t[9])/8 - 
       3*t[10] + (21*t[11])/8 + (9*t[12])/8 + t[13]/3 + (17*t[14])/6 - 
       (11*t[15])/48 - t[28] + 2*t[35] - t[39] + t[40] + (3*t[48])/8 - 
       (5*t[50])/8 + (5*t[52])/8 + (5*t[54])/8 + (9*t[60])/4 + (31*t[61])/4 - 
       (21*t[62])/8 + (9*t[63])/8 + (13*t[64])/8 - (7*t[65])/3 - 
       (41*t[66])/6 + t[72] - t[73] + t[75] - t[76] - t[77] + t[78] - 
       2*t[79] + t[81]/2 - t[82]/2 + t[84]/2 + t[85]/4 + 2*t[86] - 
       (5*t[87])/4 - (5*t[88])/8 - (17*t[89])/8 - 12*t[98] + 12*t[99] - 
       6*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*(t[1]/4 - (25*t[2])/8 + (405*t[3])/8 + 
       (63*t[4])/4 + (185*t[5])/4 - (577*t[6])/16 - (625*t[7])/16 - 
       (1195*t[8])/16 - (871*t[9])/16 + (769*t[10])/16 - (15*t[11])/2 - 
       (331*t[12])/8 + (1969*t[13])/288 - (77*t[14])/3 + (1253*t[15])/96 + 
       2*t[16] + (3*t[17])/4 - 3*t[18] - 6*t[19] - 2*t[20] - 3*t[21] - 
       t[22] + 3*t[23] - 4*t[24] + 5*t[25] - 7*t[26] + t[27]/2 + 
       (7*t[29])/2 + 6*t[30] - 6*t[31] - (37*t[32])/2 - 3*t[33] + t[34] + 
       t[36] - 2*t[37] - t[38]/2 + 7*t[39] + 6*t[40] - (19*t[41])/4 + 
       (13*t[42])/4 + (159*t[43])/16 - (19*t[44])/4 - (27*t[45])/8 + 
       (23*t[46])/4 - (31*t[47])/4 - (39*t[48])/8 - (45*t[49])/2 - 
       (59*t[50])/8 + t[51]/2 + (27*t[52])/8 + 5*t[53] - (245*t[54])/8 - 
       (7*t[58])/2 - 5*t[59] - (141*t[60])/8 - (261*t[61])/4 + 
       (347*t[62])/16 + (193*t[63])/16 - (205*t[64])/8 - (133*t[65])/6 + 
       (1387*t[66])/12 - 2*t[67] - (11*t[68])/2 - 4*t[69] + 6*t[70] - 
       6*t[71] - 8*t[72] - t[74] - (31*t[76])/2 + 5*t[77] + 20*t[78] + 
       10*t[80] - (41*t[81])/4 + (87*t[82])/4 + (29*t[84])/4 - (85*t[85])/8 - 
       (49*t[86])/2 + (57*t[87])/8 + (33*t[88])/16 - (7*t[89])/2 - 
       (5*t[92])/2 + (5*t[94])/2 - t[97] - 24*t[98] + 54*t[99] - 6*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (8*t[1] - (17*t[2])/2 - (195*t[3])/16 + (175*t[4])/8 - (141*t[5])/4 + 
       (17*t[6])/16 + 51*t[7] + (183*t[8])/4 + (577*t[9])/8 - 
       (387*t[10])/16 + (937*t[11])/16 + (539*t[12])/16 + (617*t[13])/36 + 
       (4667*t[14])/96 - (2519*t[15])/96 + t[16]/2 - (3*t[17])/4 + 6*t[18] + 
       2*t[20] + 6*t[21] - 2*t[22] - 6*t[23] + 7*t[24] + (13*t[25])/2 - 
       (15*t[26])/2 + 10*t[27] - (3*t[29])/4 - t[30]/2 - 2*t[31] + 
       (69*t[32])/4 - 5*t[33] - 2*t[36] - (5*t[37])/2 + 3*t[38] + 12*t[39] - 
       11*t[40] + (9*t[41])/4 + (3*t[42])/4 - (91*t[43])/8 + (75*t[44])/8 - 
       (9*t[45])/4 + (27*t[46])/4 + (45*t[47])/2 - (11*t[48])/16 - 
       (267*t[49])/16 - (323*t[50])/16 - (97*t[51])/32 + (211*t[52])/16 - 
       (93*t[53])/16 + (179*t[54])/16 + (3*t[55])/2 + 2*t[58] - 
       (13*t[59])/2 + (969*t[60])/8 + 114*t[61] - (583*t[62])/4 - 
       (477*t[63])/4 - (191*t[64])/4 + (2023*t[65])/24 - (1781*t[66])/24 + 
       t[67] + 3*t[68] - 3*t[70] + 3*t[71] + 2*t[72] + t[74]/2 + 
       (3*t[76])/2 + (11*t[77])/2 + (11*t[78])/2 + 13*t[80] - t[81]/4 + 
       (23*t[82])/4 + t[83] + (131*t[84])/8 + 44*t[86] - (181*t[87])/4 + 
       (143*t[88])/8 + (611*t[89])/16 + t[92] - t[94] - 9*t[95] - 6*t[96] + 
       7*t[97] - 24*t[98] + 54*t[99] - 6*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u]*
      ((295*t[1])/72 + (13*t[3])/6 + (1969*t[4])/144 + (179*t[5])/144 - 
       (75*t[6])/16 + (38*t[7])/9 + (35*t[8])/9 - (491*t[9])/144 - 
       (5983*t[10])/576 + (3737*t[11])/288 - (7087*t[12])/576 - 
       (1681*t[13])/864 + (1195*t[14])/1152 - (4169*t[15])/576 - t[25]/3 - 
       (271*t[26])/72 - 2*t[28] - 2*t[31] + 2*t[35] + (17*t[36])/18 + 
       (4*t[37])/3 + (295*t[38])/72 - 2*t[39] + 2*t[40] - 2*t[45] - 
       (71*t[46])/24 + 4*t[47] - (17*t[48])/48 + (4271*t[49])/576 + 
       (95*t[50])/48 + (75*t[51])/128 - (95*t[52])/48 - (2999*t[53])/576 - 
       (1339*t[54])/144 - (47*t[59])/144 + (6065*t[60])/288 - 
       (1709*t[61])/288 - (16195*t[62])/576 - (169*t[63])/576 - 
       (163*t[64])/64 - (4991*t[65])/216 - (499*t[66])/36 + (7*t[69])/6 - 
       t[70] + t[71] - (35*t[74])/18 - (19*t[75])/3 - t[76] - 2*t[77] - 
       2*t[78] - t[79] + 4*t[80] + (5*t[81])/36 + (91*t[82])/36 + 
       (319*t[83])/36 + (179*t[84])/72 + (109*t[85])/36 + (266*t[86])/9 - 
       (311*t[87])/48 - (515*t[88])/288 - (6725*t[89])/576 - (19*t[95])/9 - 
       (67*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-11*t[1])/3 - (3*t[3])/2 - (419*t[4])/12 - 
       (185*t[5])/24 - (25*t[6])/8 + (7*t[7])/6 - (29*t[8])/6 + 
       (125*t[9])/24 + (103*t[10])/6 - (87*t[11])/8 - (23*t[12])/24 - 
       (403*t[13])/18 + (1595*t[14])/144 - (125*t[15])/48 - t[25] + 
       (14*t[26])/3 - t[27] + t[29] + (8*t[36])/3 - (11*t[38])/3 - 
       (23*t[48])/8 - (47*t[49])/6 + (9*t[50])/8 - (13*t[51])/16 - 
       (9*t[52])/8 + (103*t[53])/12 + (77*t[54])/24 + (11*t[59])/6 - 
       (707*t[60])/12 + (118*t[61])/3 - (253*t[62])/8 + (465*t[63])/8 + 
       (877*t[64])/24 + (821*t[65])/36 + (457*t[66])/36 + (5*t[69])/2 + 
       t[72]/2 - 3*t[73] - (2*t[74])/3 - 8*t[75] - (3*t[76])/2 + t[79] - 
       t[80] + (11*t[81])/6 - (29*t[82])/6 + (211*t[83])/12 - (47*t[84])/6 - 
       (55*t[85])/12 + (32*t[86])/3 + (233*t[87])/6 + (67*t[88])/4 - 
       (125*t[89])/24 + (4*t[95])/3 - (11*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((53*t[1])/36 - (397*t[2])/144 + (7*t[3])/18 + (9737*t[4])/576 + 
       (247*t[5])/32 - (2671*t[6])/288 + (151*t[7])/48 - (121*t[8])/16 - 
       (449*t[9])/96 + (12145*t[10])/1152 + (1687*t[11])/144 - 
       (5447*t[12])/1152 + (7801*t[13])/1728 + (31721*t[14])/6912 + 
       (1237*t[15])/1152 + (8*t[25])/9 - (25*t[26])/9 + (5*t[27])/18 + 
       (17*t[28])/12 + (5*t[30])/12 - (25*t[31])/36 - (5*t[34])/9 - 
       (17*t[35])/6 + (19*t[36])/12 + (163*t[37])/36 + (17*t[38])/9 - 
       (5*t[39])/18 + (35*t[40])/36 + (5*t[41])/18 - (5*t[42])/18 + 
       (5*t[43])/24 - (17*t[44])/12 - (5*t[45])/9 - (227*t[46])/72 + 
       (10*t[47])/9 - (341*t[48])/96 + (1203*t[49])/128 - (389*t[50])/96 + 
       (4147*t[51])/2304 - (11*t[52])/96 - (931*t[53])/128 - 
       (347*t[54])/192 - (5*t[58])/9 + (109*t[59])/72 + (7939*t[60])/576 + 
       (7835*t[61])/576 - (33827*t[62])/1152 + (2635*t[63])/1152 - 
       (3785*t[64])/1152 - (49729*t[65])/1728 - (40283*t[66])/1728 + 
       (2*t[69])/3 - (23*t[70])/18 + (23*t[71])/18 + (20*t[72])/9 - 
       (25*t[73])/12 - (3*t[74])/4 + (29*t[75])/12 + (41*t[76])/9 + 
       (10*t[77])/9 - (247*t[78])/36 - (7*t[79])/12 + (187*t[80])/18 + 
       (23*t[81])/24 - (41*t[82])/72 + (113*t[83])/36 - (4729*t[84])/576 - 
       (5341*t[85])/576 + (61*t[86])/12 - (13703*t[87])/576 - 
       (3661*t[88])/384 - (15499*t[89])/1152 + 2*t[95] + (25*t[96])/9 + 
       (35*t[97])/12 + (85*t[98])/3 - 35*t[99] - (11*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^3*((5*t[1])/4 - (41*t[2])/16 + 
       (469*t[3])/96 + (2683*t[4])/96 + (3575*t[5])/192 - (969*t[6])/64 - 
       (489*t[7])/32 - (911*t[8])/96 - (3361*t[9])/192 + (1471*t[10])/192 + 
       (3743*t[11])/192 - (375*t[12])/32 + (32735*t[13])/1728 - 
       (1105*t[14])/1152 - (3919*t[15])/1152 + t[16]/24 + (13*t[25])/4 - 
       (11*t[26])/2 + (3*t[27])/2 + (5*t[28])/6 - (5*t[29])/4 - (5*t[30])/4 - 
       (17*t[31])/6 - t[32] + t[33] + (3*t[34])/4 - 2*t[35] + t[36]/12 + 
       (7*t[37])/3 + (11*t[38])/4 + (5*t[39])/24 + (79*t[40])/24 - 
       (3*t[41])/8 + (3*t[42])/8 - (9*t[43])/16 - (29*t[44])/8 - 
       (13*t[45])/48 - (23*t[46])/24 - (11*t[47])/24 - (29*t[48])/64 - 
       t[49]/192 - (1579*t[50])/192 + (133*t[51])/384 + (121*t[52])/64 - 
       (429*t[53])/64 - (2651*t[54])/192 - (3*t[58])/4 - t[59]/2 + 
       (309*t[60])/8 - (3*t[61])/8 - (489*t[62])/32 - (2863*t[63])/96 - 
       (743*t[64])/48 - (331*t[65])/48 - (4639*t[66])/144 - (7*t[68])/6 + 
       (7*t[70])/6 - (7*t[71])/6 + 2*t[72] - t[73]/3 + (3*t[74])/2 - 
       (5*t[75])/3 + (151*t[76])/24 - t[77]/6 - (131*t[78])/24 - 
       (2*t[79])/3 + (47*t[80])/12 + (19*t[81])/4 + (11*t[82])/12 + 
       (67*t[83])/12 + (25*t[84])/3 + (125*t[85])/24 - (65*t[86])/24 - 
       (43*t[87])/4 + (21*t[88])/8 - (23*t[89])/32 - t[90]/12 - t[91]/72 + 
       t[93]/6 - (7*t[95])/3 - (5*t[96])/3 + 2*t[97] + 12*t[98] - 13*t[99] - 
       (16*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*(-t[1]/3 + (91*t[4])/6 + (35*t[5])/24 + t[6] - 
       (11*t[7])/12 - (11*t[8])/12 - (35*t[9])/24 - (61*t[10])/24 + 
       10*t[11] - (83*t[12])/12 + (149*t[13])/36 - (20*t[14])/9 - 
       (19*t[15])/16 + t[26]/3 - (5*t[36])/3 - t[38]/3 - t[46] + t[48] + 
       (47*t[49])/24 + t[50] - t[51]/8 - t[52] - (83*t[53])/24 - 
       (55*t[54])/12 + t[59]/6 + (233*t[60])/12 - (25*t[61])/12 - 
       (39*t[62])/4 - (27*t[63])/4 - (433*t[64])/24 - (881*t[65])/36 - 
       (523*t[66])/36 + t[69] - t[73] + (8*t[74])/3 - 9*t[75] + t[79] - 
       (4*t[81])/3 + (4*t[82])/3 + (61*t[83])/6 + (43*t[84])/12 + 
       (19*t[85])/12 - (11*t[86])/3 - (58*t[87])/3 - (15*t[88])/2 - 
       (85*t[89])/24 - (16*t[95])/3 - 5*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[v, w, u]*
      ((5*t[1])/6 + (103*t[4])/24 + t[5]/12 + t[6]/8 + t[7]/12 + t[8]/12 - 
       t[9]/12 + (71*t[10])/24 + (2*t[11])/3 - (121*t[12])/24 - 
       (55*t[13])/36 + (259*t[14])/48 - (29*t[15])/24 - (5*t[26])/6 + 
       (2*t[36])/3 + (5*t[38])/6 + t[48]/8 + (53*t[49])/24 + t[50]/8 - 
       (31*t[51])/16 - t[52]/8 - (65*t[53])/24 - (2*t[54])/3 - (5*t[59])/12 + 
       (71*t[60])/12 + (23*t[61])/6 - (17*t[62])/3 + (31*t[63])/12 - 
       (65*t[64])/8 - (595*t[65])/72 - (127*t[66])/24 - t[69] - t[73] + 
       t[74]/3 - t[75] + t[79] - t[81]/6 + t[82]/6 + t[83]/6 + 
       (13*t[84])/24 + (7*t[85])/24 + t[86]/3 - (27*t[87])/8 - 
       (77*t[88])/48 - (71*t[89])/24 - (2*t[95])/3 - 5*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      (t[1]/2 + (3*t[2])/2 + t[3] - (65*t[4])/4 + t[5]/8 - (13*t[6])/8 + 
       (7*t[7])/2 - (15*t[8])/2 + (67*t[9])/8 - (19*t[10])/2 - 
       (117*t[11])/8 - (5*t[12])/8 - (157*t[13])/12 - (133*t[14])/16 + 
       (41*t[15])/48 - 2*t[25] + t[26] + 2*t[30] + 2*t[31] + t[36] + 
       3*t[37] + t[38] + t[43] + 2*t[44] + t[45] + 2*t[46] - 2*t[47] + 
       (7*t[48])/8 + (5*t[49])/4 + (15*t[50])/8 + (5*t[51])/16 + t[52]/8 + 
       (17*t[53])/4 + (47*t[54])/8 - (3*t[59])/2 - (57*t[60])/4 - 
       (45*t[61])/2 + (113*t[62])/8 + (179*t[63])/8 - (103*t[64])/4 - 
       (51*t[65])/4 - (19*t[66])/4 - 2*t[69] - 6*t[72] - t[74] - t[75] + 
       3*t[76] - t[77] - 2*t[78] - 2*t[79] - 3*t[80] + t[81] + 2*t[83] - 
       8*t[84] + 4*t[85] - 4*t[86] - t[87] - (19*t[88])/2 - (11*t[89])/8 + 
       2*t[95] + 2*t[96] - t[97] + 24*t[98] - 6*t[99] - 5*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((-7*t[1])/16 + (3*t[2])/32 - t[3]/4 - (563*t[4])/128 - (77*t[5])/64 + 
       (19*t[6])/64 + (29*t[7])/32 - (49*t[8])/32 + (37*t[9])/64 - 
       (263*t[10])/256 - (57*t[11])/32 + (449*t[12])/256 - (1127*t[13])/384 + 
       (1067*t[14])/512 + (749*t[15])/2304 - t[25]/4 + (3*t[26])/4 - 
       t[28]/8 + (3*t[30])/8 + (3*t[31])/8 + t[35]/4 - t[36]/8 - t[37]/8 - 
       t[38]/2 + (3*t[43])/16 + (3*t[44])/8 + t[45]/8 + t[46]/8 - t[47]/4 - 
       (5*t[48])/64 - (13*t[49])/256 + (35*t[50])/64 + (91*t[51])/512 - 
       (19*t[52])/64 + (269*t[53])/256 + (327*t[54])/128 + t[59]/4 - 
       (893*t[60])/128 + (475*t[61])/128 - (339*t[62])/256 + 
       (2523*t[63])/256 + (367*t[64])/256 - (917*t[65])/384 - 
       (575*t[66])/384 + t[69]/4 - t[70]/4 + t[71]/4 - t[72]/4 - t[73]/8 - 
       t[74]/8 - (3*t[75])/8 + t[76]/8 - (3*t[77])/8 - t[78]/2 - t[79]/8 - 
       t[80] - (3*t[81])/16 - t[82]/16 + (7*t[83])/8 - (317*t[84])/128 - 
       (177*t[85])/128 - (7*t[86])/8 - (91*t[87])/128 - (379*t[88])/256 - 
       (1163*t[89])/256 + t[95]/4 + t[96]/4 - t[97]/8 + (3*t[98])/2 + 
       t[99]/2 - 5*t[100]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((15*t[4])/8 - (61*t[5])/192 + (61*t[7])/96 + 
       (61*t[8])/96 + (133*t[9])/192 + (169*t[10])/24 + (5*t[11])/32 - 
       (307*t[12])/64 - (161*t[13])/72 + (12023*t[14])/1152 - 
       (4453*t[15])/1152 + (5*t[36])/24 - (83*t[49])/96 - (1537*t[51])/384 - 
       (73*t[53])/96 - (305*t[54])/96 + (211*t[60])/48 + (815*t[61])/48 - 
       (1367*t[62])/192 + (1135*t[63])/192 - (1391*t[64])/96 + 
       (347*t[65])/96 - (1577*t[66])/288 - (13*t[69])/12 + t[72]/4 - 
       (5*t[73])/24 + (3*t[75])/8 + (3*t[76])/4 + (5*t[79])/24 - 
       (11*t[83])/12 + (401*t[84])/96 + (401*t[85])/96 + (61*t[86])/24 + 
       (153*t[87])/16 + (153*t[88])/32 + (5*t[89])/32 - (19*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u]*
      ((-233*t[1])/72 - (5*t[3])/12 - (1115*t[4])/144 - (181*t[5])/144 + 
       (71*t[6])/48 + (13*t[7])/18 + (14*t[8])/9 + (241*t[9])/144 + 
       (4769*t[10])/576 - (1567*t[11])/288 + (1937*t[12])/576 - 
       (4021*t[13])/864 + (2297*t[14])/384 + (1751*t[15])/576 + t[25]/3 + 
       (209*t[26])/72 - (49*t[36])/18 + t[37]/2 - (233*t[38])/72 + 
       (15*t[46])/8 + (7*t[48])/48 - (481*t[49])/576 - (11*t[50])/16 - 
       (1151*t[51])/384 + (11*t[52])/16 + (601*t[53])/576 + 
       (1037*t[54])/144 + (17*t[59])/144 - (2479*t[60])/288 + 
       (2827*t[61])/288 + (413*t[62])/576 + (3191*t[63])/576 + 
       (2543*t[64])/192 + (427*t[65])/216 + (106*t[66])/9 - (19*t[69])/6 + 
       (8*t[70])/3 - (17*t[71])/6 - 2*t[73] + (61*t[74])/18 + (11*t[75])/3 + 
       t[76] + (2*t[79])/3 - (73*t[81])/36 - (23*t[82])/36 - (29*t[83])/36 - 
       (247*t[84])/72 - (119*t[85])/36 + (11*t[86])/9 - (59*t[87])/48 - 
       (215*t[88])/288 + (43*t[89])/576 + (5*t[95])/9 - (55*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[w, u, v]*((3*t[1])/2 - (17*t[4])/8 + 
       t[5]/8 - t[7]/4 - t[8]/4 - t[9]/8 + (25*t[10])/8 - (13*t[11])/8 - 
       (21*t[12])/4 - (13*t[13])/6 + (89*t[14])/24 - (23*t[15])/48 - 
       (3*t[26])/2 + t[36] + (3*t[38])/2 + (9*t[49])/8 - t[51]/2 - 
       (9*t[53])/8 + (11*t[54])/8 - (3*t[59])/4 - (5*t[60])/2 + (9*t[61])/2 - 
       (7*t[62])/2 + (39*t[63])/4 - t[64]/8 - (91*t[65])/24 - 
       (101*t[66])/24 - t[69] - t[73] - t[75] + t[79] + (3*t[83])/2 - 
       (11*t[84])/8 - (11*t[85])/8 - t[86] + t[87]/8 + (13*t[88])/16 - 
       4*t[89] - (9*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((-49*t[1])/24 - (11*t[2])/6 + (15*t[3])/4 - 
       (2303*t[4])/192 + (83*t[5])/24 - (377*t[6])/32 - (5*t[7])/6 - 
       (203*t[8])/24 - (11*t[9])/16 + (431*t[10])/384 - (1685*t[11])/96 - 
       (1729*t[12])/384 - (18383*t[13])/1728 - (9739*t[14])/2304 + 
       (749*t[15])/3456 - t[19] - t[20] - t[21] + t[23] - (7*t[25])/3 + 
       (41*t[26])/12 - (5*t[27])/6 - (5*t[28])/6 + (11*t[30])/12 + 
       (5*t[31])/4 + t[34]/12 + (5*t[35])/3 + (41*t[36])/12 + (4*t[37])/3 - 
       (19*t[38])/12 + (7*t[40])/6 - (25*t[41])/24 + (25*t[42])/24 - 
       t[43]/24 + (5*t[44])/3 - (17*t[46])/24 - (45*t[48])/32 + 
       (4121*t[49])/384 - (69*t[50])/32 - (703*t[51])/256 + (71*t[52])/96 - 
       (235*t[53])/128 + (461*t[54])/64 - (5*t[58])/12 + (3*t[59])/8 - 
       (4931*t[60])/192 - (3613*t[61])/192 + (1439*t[62])/128 + 
       (17827*t[63])/384 + (1255*t[64])/384 - (5441*t[65])/576 + 
       (2033*t[66])/576 - (5*t[69])/6 - (11*t[70])/6 + (11*t[71])/6 - 
       (7*t[72])/2 - (9*t[73])/4 - (31*t[74])/12 + (9*t[75])/4 + 
       (39*t[76])/4 - (11*t[77])/6 - (20*t[78])/3 - (10*t[79])/3 + 
       (29*t[80])/6 + (9*t[81])/4 + (11*t[82])/4 + t[83]/4 - 
       (2653*t[84])/192 + (755*t[85])/192 - (13*t[86])/6 - (861*t[87])/64 - 
       (7447*t[88])/384 - (5273*t[89])/384 + (13*t[95])/3 + (31*t[96])/6 + 
       (7*t[97])/12 + 70*t[98] - 64*t[99] - (9*t[100])/2) + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-7*t[1])/72 - (13*t[3])/36 + (167*t[4])/144 - (79*t[5])/288 + 
       (167*t[6])/192 + (27*t[7])/32 + (451*t[8])/288 + (61*t[9])/96 - 
       (299*t[10])/32 + (4693*t[11])/576 + (1555*t[12])/288 + 
       (6625*t[13])/864 - (869*t[14])/432 - (607*t[15])/1728 + (2*t[25])/9 - 
       t[26]/8 - t[27]/4 + (7*t[37])/24 - (7*t[38])/72 + (217*t[46])/48 + 
       (95*t[48])/192 - (2753*t[49])/288 - (131*t[50])/576 - 
       (287*t[51])/144 + (131*t[52])/576 + (2183*t[53])/288 - 
       (1363*t[54])/576 + (23*t[59])/48 + (851*t[60])/96 - (163*t[61])/36 + 
       (169*t[62])/64 - (15113*t[63])/576 + (1091*t[64])/144 + 
       (649*t[65])/288 - (1649*t[66])/288 + t[69]/6 - t[70]/12 + t[71]/12 - 
       t[73]/8 - (7*t[74])/24 + (11*t[75])/24 + (3*t[76])/4 - (7*t[79])/24 + 
       t[81]/16 - t[82]/16 - (25*t[83])/18 + (1067*t[84])/288 + 
       (335*t[85])/144 + (139*t[86])/72 + (289*t[87])/32 + (289*t[88])/64 + 
       (477*t[89])/64 - (13*t[100])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((7*t[1])/9 + (23*t[2])/9 - (191*t[3])/36 + 
       (653*t[4])/48 - (1219*t[5])/72 + (67*t[6])/9 - (19*t[7])/12 - 
       (367*t[8])/36 + (1175*t[9])/72 + (13865*t[10])/288 - (353*t[11])/18 - 
       (9151*t[12])/288 - (20057*t[13])/432 + (157319*t[14])/1728 - 
       (12073*t[15])/864 - t[16]/2 + (7*t[19])/9 - (11*t[26])/9 - t[29] + 
       t[30]/3 + 3*t[31] - (5*t[32])/6 + (5*t[33])/6 + (7*t[34])/9 + t[35] - 
       (19*t[36])/9 - (4*t[37])/3 + (17*t[38])/18 - (5*t[39])/3 + 
       (13*t[40])/18 - (7*t[41])/18 + (7*t[42])/18 + t[44]/3 + 
       (89*t[45])/18 - (13*t[46])/2 - (65*t[47])/6 - (61*t[48])/18 + 
       (3883*t[49])/288 + (29*t[50])/9 - (6143*t[51])/576 - (7*t[52])/9 - 
       (4075*t[53])/288 + (1481*t[54])/144 + (2*t[58])/9 - (4*t[59])/3 + 
       (319*t[60])/16 + (9727*t[61])/144 - (17813*t[62])/288 + 
       (30701*t[63])/288 - (36677*t[64])/288 - (27589*t[65])/432 - 
       (31219*t[66])/432 - 10*t[73] + (28*t[74])/9 - 11*t[75] - 
       (59*t[76])/6 - (5*t[77])/6 + (241*t[78])/18 - 2*t[79] - (41*t[80])/3 + 
       (9*t[81])/2 - (13*t[82])/2 + (56*t[83])/3 + (111*t[84])/16 + 
       (1007*t[85])/144 - (56*t[86])/3 - (4357*t[87])/144 - (525*t[88])/32 - 
       (1711*t[89])/32 + (16*t[95])/9 - 3*t[96] - (20*t[97])/9 - 
       (200*t[98])/3 + (194*t[99])/3 - (25*t[100])/6) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-41*t[1])/12 + (77*t[2])/36 + (23*t[3])/9 + (2471*t[4])/144 + 
       (523*t[5])/72 + (313*t[6])/72 + (307*t[7])/36 + (85*t[8])/12 - 
       (317*t[9])/72 - (755*t[10])/96 + (79*t[11])/36 - (931*t[12])/96 - 
       (353*t[13])/48 + (40429*t[14])/1728 - (2147*t[15])/864 + t[16] + 
       (2*t[19])/9 - t[22]/3 + (10*t[25])/3 + (8*t[26])/9 - 3*t[28] + t[29] + 
       (8*t[32])/9 - (8*t[33])/9 - t[34]/18 + 5*t[35] + (8*t[36])/9 - 
       3*t[37] - (71*t[38])/18 - (7*t[39])/3 + (4*t[40])/9 + t[41]/36 - 
       t[42]/36 - t[43]/6 + (11*t[45])/18 + (92*t[46])/9 - (7*t[47])/18 + 
       (311*t[48])/72 - (1139*t[49])/288 + (575*t[50])/72 - 
       (12613*t[51])/576 - (43*t[52])/8 - (469*t[53])/32 + (41*t[54])/48 + 
       t[58]/2 - (13*t[59])/9 + (1693*t[60])/144 + (271*t[61])/48 - 
       (2927*t[62])/288 + (10727*t[63])/288 - (1103*t[64])/32 - 
       (12325*t[65])/432 + (3857*t[66])/432 - t[69] - t[72] - 11*t[73] + 
       (46*t[74])/9 - 13*t[75] - (167*t[76])/18 - (49*t[77])/18 + 
       (91*t[78])/9 + (7*t[79])/2 - (13*t[80])/3 - (65*t[81])/9 + 
       (131*t[82])/18 + (71*t[83])/3 + (203*t[84])/144 - (391*t[85])/48 + 
       (53*t[86])/6 + (551*t[87])/144 + (15*t[88])/32 - (1429*t[89])/288 + 
       (16*t[95])/9 - (4*t[96])/3 - (25*t[97])/18 - (200*t[98])/3 + 
       (194*t[99])/3 - (25*t[100])/6) + HPL[{1}, 1 - u]^2*Ot[u, v, w]*
      ((-17*t[4])/12 - (7*t[5])/48 + (7*t[7])/24 + (7*t[8])/24 + 
       (7*t[9])/48 + (13*t[10])/24 - (35*t[11])/24 - (181*t[12])/48 - 
       (95*t[13])/36 + (635*t[14])/288 - (11*t[15])/32 + t[36]/2 + t[49]/6 - 
       (27*t[51])/32 - t[53]/6 - (5*t[54])/8 - (19*t[60])/6 + (35*t[61])/4 - 
       (107*t[62])/48 + (283*t[63])/48 - (79*t[64])/24 + (223*t[65])/72 + 
       (301*t[66])/72 - t[73]/2 - (5*t[75])/2 + t[79]/2 + (10*t[83])/3 + 
       (5*t[84])/8 + (5*t[85])/8 + (7*t[86])/6 + (19*t[87])/6 + 
       (19*t[88])/12 + t[89]/2 - 4*t[100]) + HPL[{1}, 1 - v]^2*Ot[u, v, w]*
      (-t[1]/6 - t[3]/3 + (11*t[4])/12 - (13*t[5])/24 + (5*t[6])/16 + 
       (5*t[7])/8 + (31*t[8])/24 + (7*t[9])/8 - (27*t[10])/8 + 
       (151*t[11])/48 + (13*t[12])/24 + (211*t[13])/72 + (173*t[14])/72 - 
       (133*t[15])/144 + (2*t[25])/3 - t[26]/2 - t[37]/2 - t[38]/6 + 
       (11*t[46])/4 + (5*t[48])/16 - (95*t[49])/24 - (17*t[50])/48 - 
       (73*t[51])/24 + (17*t[52])/48 + (17*t[53])/24 - (13*t[54])/48 - 
       t[59]/4 + (9*t[60])/8 + (25*t[61])/6 - (67*t[62])/16 - 
       (143*t[63])/48 + (61*t[64])/24 - (31*t[65])/24 - (241*t[66])/24 - 
       t[73]/2 + t[74]/2 - (5*t[75])/2 + t[79]/2 + t[81]/4 - t[82]/4 + 
       (10*t[83])/3 + (23*t[84])/24 + (2*t[85])/3 + (7*t[86])/6 + 
       (25*t[87])/8 + (25*t[88])/16 + (41*t[89])/16 - 4*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - w]*((-2*t[1])/3 - t[3]/3 - 
       (28*t[4])/3 - t[5]/6 + t[6]/2 + t[7]/2 + (7*t[8])/6 + t[9]/2 - 
       (21*t[10])/4 + (5*t[11])/6 + (47*t[12])/12 + (20*t[13])/9 - 
       (205*t[14])/72 + (11*t[15])/9 + (2*t[25])/3 - (2*t[38])/3 + 2*t[46] + 
       t[48]/2 - (61*t[49])/12 - t[50]/6 + (5*t[51])/24 + t[52]/6 + 
       (61*t[53])/12 + (7*t[54])/6 - t[59]/3 - 6*t[60] + (8*t[61])/3 + 
       (7*t[62])/6 - (7*t[63])/6 + (50*t[64])/3 + (20*t[65])/3 + 
       (5*t[66])/3 - 2*t[69] + t[70] - t[71] - (7*t[83])/6 - (2*t[84])/3 - 
       (4*t[85])/3 + (2*t[86])/3 + 7*t[87] + (7*t[88])/2 + 3*t[89] - 
       4*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((11*t[1])/6 - t[3]/3 + (77*t[4])/12 - (49*t[5])/24 - (7*t[6])/16 - 
       (7*t[7])/8 - (5*t[8])/24 + (19*t[9])/8 - (349*t[10])/8 + 
       (1507*t[11])/48 + (199*t[12])/24 + (1315*t[13])/72 - (101*t[14])/9 - 
       (445*t[15])/144 + (2*t[25])/3 - (5*t[26])/2 + 2*t[27] - (5*t[37])/2 + 
       (11*t[38])/6 + (55*t[46])/4 - (7*t[48])/16 - (545*t[49])/24 - 
       (53*t[50])/48 - (8*t[51])/3 + (53*t[52])/48 + (299*t[53])/24 - 
       (73*t[54])/48 - (23*t[59])/12 + (201*t[60])/8 - (64*t[61])/3 - 
       (59*t[62])/16 - (2759*t[63])/48 + (667*t[64])/24 - (527*t[65])/24 - 
       (1057*t[66])/24 - (5*t[73])/2 + (5*t[74])/2 - (9*t[75])/2 - 6*t[76] + 
       (5*t[79])/2 + (5*t[81])/4 - (5*t[82])/4 + (4*t[83])/3 + 
       (71*t[84])/24 + (25*t[85])/6 - (29*t[86])/6 + (9*t[87])/8 + 
       (9*t[88])/16 + (273*t[89])/16 - 4*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*((-23*t[4])/12 + 
       (29*t[5])/48 - (29*t[7])/24 - (29*t[8])/24 - (173*t[9])/48 + 
       (499*t[10])/24 - (527*t[11])/24 - (949*t[12])/48 - (689*t[13])/36 + 
       (563*t[14])/288 + (49*t[15])/32 + (5*t[36])/2 + (101*t[49])/12 - 
       (299*t[51])/32 - (101*t[53])/12 - (85*t[54])/8 - (50*t[60])/3 + 
       (117*t[61])/4 + (325*t[62])/48 + (1963*t[63])/48 - (769*t[64])/24 + 
       (1663*t[65])/72 + (4573*t[66])/72 - 2*t[72] - (5*t[73])/2 - 
       (9*t[75])/2 - 6*t[76] + (5*t[79])/2 + (4*t[83])/3 + (21*t[84])/8 + 
       (21*t[85])/8 - (29*t[86])/6 + (8*t[87])/3 + (4*t[88])/3 + 
       (69*t[89])/4 - 4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]^2*(t[1]/3 + (29*t[3])/48 + (107*t[4])/12 + 
       (17*t[5])/96 - (3*t[6])/4 + (3*t[7])/2 + (31*t[8])/24 - (25*t[9])/32 - 
       (9*t[10])/32 + (167*t[11])/24 - (137*t[12])/24 + (335*t[13])/288 + 
       (1807*t[14])/576 - (1369*t[15])/576 - t[25]/3 - t[28]/2 - t[31]/2 + 
       t[35]/2 - t[37]/4 + t[38]/3 - t[39]/2 + t[40]/2 - t[45]/2 - 
       (9*t[46])/8 + t[47] + (205*t[49])/96 + (17*t[50])/24 - 
       (215*t[51])/192 - (17*t[52])/24 - (229*t[53])/96 - (241*t[54])/48 - 
       (2*t[59])/3 + (185*t[60])/16 + (11*t[61])/3 - (373*t[62])/32 - 
       (601*t[63])/96 - (343*t[64])/48 - (25*t[65])/3 - (19*t[66])/3 - 
       (3*t[69])/2 + t[70]/2 - t[71]/2 - (3*t[73])/4 + (3*t[74])/4 - 
       (13*t[75])/4 - t[77]/2 - t[78]/2 + (3*t[79])/4 + t[80] - (7*t[81])/8 + 
       (7*t[82])/8 + (23*t[83])/6 + (89*t[84])/24 + (173*t[85])/48 + 
       (113*t[86])/12 - (49*t[87])/8 - (43*t[88])/16 - (63*t[89])/32 - 
       2*t[95] - 4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*(-t[1]/12 - (23*t[4])/48 - 
       t[5]/12 + t[6]/16 + (7*t[7])/24 + (7*t[8])/24 + t[9]/12 + 
       (89*t[10])/48 - (7*t[11])/24 - (97*t[12])/48 - (139*t[13])/72 + 
       (251*t[14])/96 - (7*t[15])/24 + t[26]/12 + t[36]/3 - t[38]/12 - 
       t[46]/4 + t[48]/16 + (35*t[49])/48 + t[50]/16 - (11*t[51])/32 - 
       t[52]/16 - (35*t[53])/48 + (13*t[54])/24 + t[59]/24 - (61*t[60])/24 + 
       (65*t[61])/12 - (29*t[62])/6 + (151*t[63])/24 - (27*t[64])/16 - 
       (397*t[65])/144 - (145*t[66])/48 - t[73]/2 + t[74]/6 - (5*t[75])/2 + 
       t[79]/2 - t[81]/12 + t[82]/12 + (10*t[83])/3 - (29*t[84])/48 - 
       (35*t[85])/48 + (7*t[86])/6 - (25*t[87])/16 - (71*t[88])/96 - 
       (155*t[89])/48 - t[95]/3 - 4*t[100]) + HPL[{1}, 1 - v]^4*
      HPL[{0, 0, 1}, 1 - w]*((5*t[1])/72 - (5*t[3])/18 + (31*t[4])/72 - 
       (175*t[5])/288 + (35*t[6])/192 + (3*t[7])/32 + (187*t[8])/288 + 
       (85*t[9])/96 - (3*t[10])/2 + (1513*t[11])/576 - (151*t[12])/144 + 
       (1915*t[13])/864 + (2839*t[14])/1728 - (1009*t[15])/1728 + 
       (5*t[25])/9 - (5*t[26])/8 - (17*t[37])/24 + (5*t[38])/72 + 
       (97*t[46])/48 + (35*t[48])/192 - (167*t[49])/72 - (215*t[50])/576 - 
       (1115*t[51])/576 + (215*t[52])/576 + (49*t[53])/144 + (53*t[54])/576 - 
       (49*t[59])/48 + (173*t[60])/96 + (503*t[61])/144 - (431*t[62])/192 - 
       (1067*t[63])/576 + (451*t[64])/288 - (461*t[65])/288 - 
       (2411*t[66])/288 - (5*t[69])/6 + (5*t[70])/12 - (5*t[71])/12 - 
       (5*t[73])/8 + (17*t[74])/24 - (25*t[75])/24 + (17*t[79])/24 + 
       (5*t[81])/16 - (5*t[82])/16 + (55*t[83])/36 + (161*t[84])/288 + 
       (17*t[85])/36 - (53*t[86])/72 + (47*t[87])/32 + (47*t[88])/64 + 
       (95*t[89])/64 - (10*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-95*t[4])/4 - t[5]/4 + t[7]/2 + t[8]/2 + 
       t[9]/4 - (149*t[10])/8 - (5*t[11])/2 + (109*t[12])/8 - (65*t[13])/12 - 
       (491*t[14])/48 + (21*t[15])/4 - (35*t[49])/8 + (183*t[51])/16 + 
       (71*t[53])/8 + (69*t[54])/4 - (143*t[60])/4 - (63*t[61])/4 - 
       (55*t[62])/8 + (71*t[63])/8 + (407*t[64])/8 - (109*t[65])/12 - 
       (91*t[66])/12 + 3*t[69] + (11*t[83])/2 - (69*t[84])/4 - (69*t[85])/4 + 
       2*t[86] + (11*t[87])/4 + (11*t[88])/8 - (177*t[89])/8 - 3*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      (-3*t[1] - (13*t[4])/4 - t[5]/2 + t[7] + t[8] + t[9]/2 + t[10]/4 - 
       (3*t[11])/4 + (21*t[12])/4 - (11*t[13])/3 + (5*t[14])/12 + 
       (7*t[15])/12 + 3*t[26] - 3*t[38] - t[46]/2 - (3*t[49])/4 + 
       (3*t[51])/4 + (5*t[53])/4 + (7*t[54])/4 + (3*t[59])/2 - 11*t[60] + 
       7*t[61] - (13*t[62])/2 + (13*t[63])/2 + (5*t[64])/4 + (7*t[65])/4 + 
       (11*t[66])/12 + 2*t[69] - 4*t[75] + 7*t[83] - (7*t[84])/4 - 
       (7*t[85])/4 + 4*t[86] + t[87]/4 + t[88]/8 - 4*t[89] - 3*t[100]) + 
     B7[v, w, u]*HPL[{1}, 1 - u]*(-t[5]/4 + t[9]/4 - t[10]/4 + t[11]/2 + 
       (5*t[12])/2 - (5*t[13])/6 + t[14]/24 + t[15]/24 - t[49]/4 + t[51]/8 + 
       t[53]/4 + t[59]/2 - 2*t[60] + t[61]/2 - t[64]/2 + t[65] + 
       (2*t[66])/3 + t[69] - t[70] + t[71] - t[83] + t[87] + t[88]/2 - 
       t[89]/2 - 3*t[100]) + B8[v, w, u]*HPL[{1}, 1 - u]*
      (t[5]/8 - t[9]/8 - t[10]/4 - (5*t[11])/4 + (13*t[12])/8 - (2*t[13])/3 + 
       t[14]/8 - t[15]/16 + t[36] - t[46]/2 + t[49]/4 + t[51]/4 - t[53]/4 + 
       t[59]/2 - 3*t[60] + t[62]/4 + (11*t[63])/4 - (9*t[64])/4 + 
       (13*t[65])/6 + (11*t[66])/6 + t[69] - t[70] + t[71] - t[74] - t[75] + 
       t[83] + 2*t[87] + t[88] - t[89]/4 - 3*t[100]) + 
     B7[u, v, w]*HPL[{1}, 1 - v]*(-t[3]/4 - t[5]/8 + (3*t[6])/8 + t[7]/4 + 
       (3*t[8])/4 + (3*t[9])/8 - t[10] + (5*t[11])/8 + (3*t[12])/8 - 
       t[13]/8 + (7*t[14])/24 + (11*t[15])/48 + (3*t[48])/8 - t[49]/4 - 
       t[50]/8 + t[51]/8 + t[52]/8 + t[53]/4 + t[54]/8 + (3*t[60])/4 + 
       (7*t[61])/4 - (5*t[62])/8 - (7*t[63])/8 - (5*t[64])/8 + (7*t[65])/12 + 
       t[66]/12 - t[83] + t[84]/4 - t[85]/4 - t[87]/4 - t[88]/8 + t[89]/8 - 
       3*t[100]) + B8[u, v, w]*HPL[{1}, 1 - v]*(-t[3]/4 - (7*t[5])/8 + 
       t[7]/4 + (3*t[8])/4 + (9*t[9])/8 - 2*t[10] + (5*t[11])/4 + 
       (7*t[12])/8 + (31*t[13])/24 - (31*t[14])/24 + (17*t[15])/48 + 
       t[46]/2 - (3*t[49])/4 - t[50]/2 + t[51]/4 + t[52]/2 + (3*t[53])/4 + 
       t[54]/2 + t[60]/2 + t[61]/2 + (7*t[62])/4 - (15*t[63])/4 + 3*t[64] + 
       (5*t[65])/4 - (13*t[66])/12 - t[75] + t[81]/2 - t[82]/2 + t[83] + 
       t[84]/4 + t[85]/2 + 2*t[89] - 3*t[100]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1, 1}, 1 - v]*(t[1] - t[3]/4 + (95*t[4])/4 - (5*t[5])/4 - 
       (3*t[6])/16 + (9*t[7])/8 + (13*t[8])/8 + (3*t[9])/2 + (9*t[10])/8 + 
       (121*t[11])/16 - (49*t[12])/4 + (20*t[13])/3 + (257*t[14])/24 - 
       (125*t[15])/24 + t[25]/2 - (3*t[26])/2 - (3*t[37])/2 + t[38] + 
       (9*t[46])/4 - (3*t[48])/16 + t[49]/8 - (11*t[50])/16 - (61*t[51])/8 + 
       (11*t[52])/16 - (79*t[53])/8 - (67*t[54])/16 - (35*t[59])/12 + 
       (165*t[60])/8 + (23*t[61])/4 - (255*t[62])/16 - (137*t[63])/16 - 
       (53*t[64])/2 - (133*t[65])/8 - (275*t[66])/8 - (3*t[73])/2 + 
       (3*t[74])/2 - (15*t[75])/2 + (3*t[79])/2 + (3*t[81])/4 - (3*t[82])/4 + 
       10*t[83] + (41*t[84])/8 + (23*t[85])/4 + (7*t[86])/2 - (75*t[87])/8 - 
       (75*t[88])/16 + (33*t[89])/16 - 3*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - v]*((5*t[4])/2 - t[5]/4 + 
       t[7]/2 + t[8]/2 + t[9]/4 + 7*t[10] - (17*t[12])/4 - t[13] + 
       (91*t[14])/12 - (23*t[15])/8 - t[49]/2 - 4*t[51] - t[53] - 5*t[54] + 
       5*t[60] + 14*t[61] - 4*t[62] + 3*t[63] - (53*t[64])/4 + (47*t[65])/9 + 
       t[66]/3 - t[69] - (3*t[83])/2 + 5*t[84] + 5*t[85] + 2*t[86] + 
       (13*t[87])/2 + (13*t[88])/4 + 4*t[89] - 3*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - u]*((37*t[4])/4 + (5*t[5])/16 - 
       (5*t[7])/8 - (5*t[8])/8 - (5*t[9])/16 - (5*t[10])/8 + t[11]/8 - 
       (157*t[12])/16 + (7*t[13])/12 - (205*t[14])/96 + (43*t[15])/32 + 
       (3*t[36])/2 + (17*t[49])/4 - (57*t[51])/32 - (17*t[53])/4 - 
       (39*t[54])/8 + 10*t[60] + (15*t[61])/4 + (109*t[62])/16 - 
       (5*t[63])/16 - (145*t[64])/8 + (31*t[65])/24 + (325*t[66])/24 - 
       (3*t[73])/2 - (15*t[75])/2 + (3*t[79])/2 + (17*t[83])/2 + 
       (39*t[84])/8 + (39*t[85])/8 - (5*t[86])/2 - 10*t[87] - 5*t[88] + 
       (39*t[89])/4 - 3*t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - w]*
      ((109*t[4])/4 + (7*t[5])/8 - (7*t[7])/4 - (7*t[8])/4 - (7*t[9])/8 + 
       (163*t[10])/8 - t[11]/4 - (85*t[12])/4 + (43*t[13])/12 + 
       (28*t[14])/3 - (65*t[15])/16 + 3*t[36] + (55*t[49])/8 - (99*t[51])/8 - 
       (91*t[53])/8 - (39*t[54])/2 + (151*t[60])/4 + (81*t[61])/4 + 
       (55*t[62])/4 - (11*t[63])/4 - (517*t[64])/8 + (77*t[65])/6 + 
       (121*t[66])/6 - 3*t[69] - 3*t[73] - 3*t[75] + 3*t[79] + (5*t[83])/2 + 
       (39*t[84])/2 + (39*t[85])/2 - 7*t[86] - (19*t[87])/4 - (19*t[88])/8 + 
       (225*t[89])/8 - 3*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*(8*t[1] + (53*t[4])/2 + 
       (5*t[5])/4 + (3*t[6])/4 - t[7] - t[8] - (5*t[9])/4 + 2*t[10] + 
       (43*t[11])/4 - (97*t[12])/4 + (71*t[13])/6 + (53*t[14])/8 - 
       (33*t[15])/8 - 8*t[26] - 2*t[36] + 8*t[38] + (3*t[48])/4 + 
       (13*t[49])/2 + (3*t[50])/4 - (45*t[51])/8 - (3*t[52])/4 - 
       (19*t[53])/2 - (49*t[54])/4 - 4*t[59] + (101*t[60])/2 - 4*t[61] + 
       2*t[62] - 22*t[63] - 27*t[64] - (125*t[65])/6 - (33*t[66])/2 - 
       6*t[69] + 2*t[74] - t[81] + t[82] - 11*t[83] + (23*t[84])/2 + 
       10*t[85] - 4*t[86] - 21*t[87] - (17*t[88])/2 + (37*t[89])/4 - 
       4*t[95] - 3*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((4*t[1])/3 + (7*t[4])/2 + 
       t[6]/2 + t[7] + t[8] + (43*t[10])/2 + (19*t[11])/3 - 15*t[12] - 
       (38*t[13])/3 + (322*t[14])/9 - (79*t[15])/6 - (4*t[26])/3 - 
       (10*t[36])/3 + (4*t[38])/3 - (3*t[46])/2 + t[48]/2 - (5*t[49])/2 + 
       t[50]/2 - 5*t[51] - t[52]/2 + t[53]/2 - (25*t[54])/6 - (2*t[59])/3 + 
       6*t[60] + (281*t[61])/6 - (287*t[62])/6 + (113*t[63])/3 - 
       (259*t[64])/6 - 25*t[65] - (478*t[66])/9 - t[69] + 2*t[73] + 
       (4*t[74])/3 - 10*t[75] - 2*t[79] - (2*t[81])/3 + (2*t[82])/3 + 
       t[83]/2 + (11*t[84])/3 + (8*t[85])/3 + 4*t[86] + (67*t[87])/6 + 
       (71*t[88])/12 - (173*t[89])/6 - (8*t[95])/3 - 3*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]^2*((35*t[1])/24 - (79*t[2])/48 + 
       (59*t[3])/24 - (263*t[4])/64 + (203*t[5])/48 - (1123*t[6])/96 - 
       (31*t[7])/16 - (781*t[8])/48 - 4*t[9] - (1757*t[10])/384 + 
       (205*t[11])/24 - (1289*t[12])/384 + (1811*t[13])/576 - 
       (11905*t[14])/2304 - (377*t[15])/1152 + t[16]/24 + t[19]/8 - 
       (17*t[25])/12 - (4*t[26])/3 + t[27]/3 + t[28]/4 - t[29]/2 + t[30]/2 - 
       t[31]/3 - t[32]/2 + t[33]/2 + t[34]/3 - t[36]/12 + (3*t[37])/4 + 
       (53*t[38])/24 - (5*t[39])/6 + (5*t[40])/3 - t[41]/6 + t[42]/6 + 
       t[43]/4 - t[44]/4 - (2*t[45])/3 + (5*t[46])/3 + (5*t[47])/6 - 
       (141*t[48])/32 - (261*t[49])/128 - (31*t[50])/96 + (1525*t[51])/768 - 
       (257*t[52])/96 + (493*t[53])/128 - (403*t[54])/192 - (2*t[58])/3 - 
       (13*t[59])/12 - (295*t[60])/192 - (203*t[61])/192 - (1359*t[62])/128 + 
       (3413*t[63])/384 + (1405*t[64])/384 - (2401*t[65])/192 - 
       (8633*t[66])/576 - t[67]/24 - (13*t[69])/12 + t[70]/3 - t[71]/3 + 
       (5*t[72])/3 - (9*t[73])/4 + (5*t[74])/12 + (47*t[75])/12 + 
       (59*t[76])/12 - t[77]/6 - (41*t[78])/6 - (29*t[79])/12 + 
       (20*t[80])/3 + (11*t[81])/6 + t[82]/3 + (107*t[83])/24 - 
       (265*t[84])/64 + (37*t[85])/192 + (59*t[86])/12 - (1381*t[87])/192 - 
       (1973*t[88])/384 - (1579*t[89])/128 + t[95] + (4*t[96])/3 + t[97] + 
       28*t[98] - 30*t[99] - 3*t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((9*t[1])/8 - (7*t[2])/8 - (3*t[3])/8 + 
       (175*t[4])/12 - (2*t[5])/3 - (95*t[6])/16 + (47*t[7])/24 - 
       (14*t[8])/3 + (47*t[9])/48 + (133*t[10])/12 + (145*t[11])/24 - 
       (257*t[12])/24 + (353*t[13])/144 + (4505*t[14])/576 - 
       (503*t[15])/144 + t[25]/2 - (7*t[26])/4 + t[28]/2 + t[30]/4 - 
       t[31]/4 - t[34]/4 - t[35]/2 + (13*t[36])/12 + (3*t[37])/2 + 
       (5*t[38])/4 - t[39]/2 + t[40]/4 + t[41]/8 - t[42]/8 + t[43]/8 - 
       t[44] - t[45] + 2*t[47] - (29*t[48])/16 + (43*t[49])/12 - 
       (9*t[50])/16 - (1235*t[51])/192 - (11*t[52])/16 - (241*t[53])/48 - 
       (121*t[54])/12 - t[58]/4 - t[59]/4 + (385*t[60])/24 + (869*t[61])/48 - 
       (1115*t[62])/96 - (161*t[63])/96 - (249*t[64])/8 - (281*t[65])/72 - 
       (311*t[66])/36 - (7*t[69])/3 + 2*t[72] - (11*t[73])/6 + t[74]/4 + 
       t[75] + (5*t[76])/4 + t[77]/2 - (13*t[78])/4 - (5*t[79])/3 + 
       (11*t[80])/2 - (3*t[81])/8 - t[82]/8 + (7*t[83])/6 + (35*t[84])/6 + 
       (259*t[85])/48 + (47*t[86])/6 - (77*t[87])/24 - (89*t[88])/48 + 
       (77*t[89])/16 + t[95] + (3*t[96])/2 + t[97] + 9*t[98] - 13*t[99] - 
       3*t[100]) + HPL[{0, 1}, 1 - v]*M1[u, v, w]*
      ((8*t[1])/3 + (29*t[2])/12 - (14*t[3])/3 + (299*t[4])/48 - 
       (371*t[5])/48 + (221*t[6])/16 + (7*t[7])/12 + (167*t[8])/12 + 
       (59*t[9])/48 + (311*t[10])/96 + (379*t[11])/48 + (205*t[12])/96 + 
       (2663*t[13])/432 + (4675*t[14])/576 - (41*t[15])/72 + t[19] + t[20] + 
       t[21] - t[23] + t[25] - (13*t[26])/6 + (2*t[27])/3 + t[28] - 
       (2*t[31])/3 - t[34]/6 - 2*t[35] - (5*t[36])/2 - (13*t[37])/6 + 
       (5*t[38])/3 - (4*t[40])/3 + (13*t[41])/12 - (13*t[42])/12 - 2*t[44] - 
       t[45]/6 + t[47]/3 + (49*t[48])/16 - (659*t[49])/96 + (83*t[50])/48 + 
       (257*t[51])/192 + (37*t[52])/48 + (115*t[53])/96 - (7*t[54])/4 + 
       t[58]/3 - t[59]/3 + (655*t[60])/48 + (947*t[61])/48 - (559*t[62])/96 - 
       (2705*t[63])/96 - (127*t[64])/32 + (451*t[65])/48 - (893*t[66])/144 + 
       t[69] + (2*t[70])/3 - (2*t[71])/3 + 3*t[72] + 2*t[73] + (3*t[74])/2 - 
       2*t[75] - (49*t[76])/6 + (7*t[77])/6 + (37*t[78])/6 + 4*t[79] - 
       3*t[80] - (19*t[81])/12 - (29*t[82])/12 - t[83]/3 + (167*t[84])/16 - 
       (149*t[85])/48 + t[86] + (637*t[87])/48 + (463*t[88])/32 + 
       (291*t[89])/32 - 3*t[95] - (11*t[96])/3 - t[97] - 56*t[98] + 
       54*t[99] - 3*t[100]) + HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - v]*
      ((83*t[4])/144 - (5*t[5])/576 + (5*t[7])/288 + (5*t[8])/288 + 
       (5*t[9])/576 + (617*t[10])/288 - (277*t[11])/288 - (1943*t[12])/576 - 
       (163*t[13])/432 + (4435*t[14])/3456 - (169*t[15])/384 + (5*t[36])/8 - 
       t[49]/18 - (595*t[51])/384 - (41*t[53])/72 - (81*t[54])/32 + 
       (61*t[60])/72 + (169*t[61])/24 + (773*t[62])/576 + (995*t[63])/576 - 
       (193*t[64])/36 + (4553*t[65])/864 + (4787*t[66])/864 - (5*t[69])/12 - 
       (5*t[73])/8 - (25*t[75])/24 + (5*t[79])/8 + (19*t[83])/18 + 
       (81*t[84])/32 + (81*t[85])/32 + (5*t[86])/72 + (31*t[87])/9 + 
       (31*t[88])/18 + (209*t[89])/48 - (35*t[100])/12) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((9*t[1])/16 - (7*t[2])/16 - (9*t[3])/16 - (271*t[4])/48 - 
       (131*t[5])/96 - (43*t[6])/16 + (7*t[7])/6 - (91*t[8])/48 + 
       (85*t[9])/48 - (491*t[10])/96 + (131*t[11])/96 + (55*t[12])/48 + 
       (15*t[13])/32 - (2635*t[14])/1152 + (737*t[15])/576 + t[25]/4 - 
       (7*t[26])/8 + t[28]/2 + t[30]/8 + t[31]/8 - t[34]/8 - t[35]/2 - 
       (11*t[36])/24 + (3*t[37])/4 + (5*t[38])/8 - t[40]/8 + t[41]/16 - 
       t[42]/16 + t[43]/16 - t[44]/2 - t[45]/4 + (3*t[46])/8 + t[47]/2 - 
       (7*t[48])/8 - (167*t[49])/96 - (3*t[50])/4 + (841*t[51])/384 + 
       t[52]/8 + (139*t[53])/48 + (329*t[54])/96 - t[58]/8 - t[59]/8 - 
       (497*t[60])/48 + (329*t[61])/96 - (671*t[62])/192 - (125*t[63])/192 + 
       (181*t[64])/16 - (31*t[65])/24 - (841*t[66])/144 + t[69]/12 + t[72] - 
       t[73]/6 + (3*t[74])/8 + (3*t[75])/4 + (5*t[76])/8 + t[77]/2 - 
       (11*t[78])/8 - (19*t[79])/12 + (9*t[80])/4 + (3*t[81])/16 - 
       (7*t[82])/16 + (11*t[83])/24 - (29*t[84])/6 - (467*t[85])/96 + 
       (8*t[86])/3 + (109*t[87])/48 + (97*t[88])/96 - (123*t[89])/32 + 
       t[95]/2 + (3*t[96])/4 + t[97]/2 + (9*t[98])/2 - (11*t[99])/2 - 
       (11*t[100])/4) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((-25*t[1])/24 + (3*t[3])/8 - (13*t[4])/4 + 
       (109*t[5])/32 + (111*t[6])/64 - (85*t[7])/48 + (95*t[8])/48 - 
       (73*t[9])/32 + (161*t[10])/32 - (1595*t[11])/192 + (103*t[12])/48 - 
       (157*t[13])/32 + (1079*t[14])/288 + (479*t[15])/192 + t[25]/4 + 
       (19*t[26])/24 - t[29]/2 + t[36]/2 - (5*t[37])/12 - (25*t[38])/24 - 
       (19*t[46])/8 + (119*t[48])/64 + (211*t[49])/48 - (57*t[50])/64 + 
       (35*t[51])/24 + (57*t[52])/64 - (13*t[53])/24 + (375*t[54])/64 + 
       t[59]/2 - (401*t[60])/96 + (67*t[61])/24 + (905*t[62])/64 + 
       (2749*t[63])/192 - (1013*t[64])/48 + (89*t[65])/96 + (1199*t[66])/96 - 
       (13*t[69])/12 + (5*t[70])/12 - (5*t[71])/12 - t[72]/4 + 
       (31*t[73])/24 + (5*t[74])/12 + (13*t[75])/24 + (9*t[76])/4 + 
       (17*t[79])/12 + t[80]/2 - (67*t[81])/48 + (139*t[82])/48 - 
       (49*t[83])/8 - (91*t[84])/32 - (79*t[85])/16 - (139*t[86])/12 - 
       (79*t[87])/32 - (79*t[88])/64 - (1633*t[89])/192 + 4*t[99] - 
       (11*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*((13*t[1])/16 - (5*t[2])/8 - (19*t[3])/16 + 
       (233*t[4])/32 + (17*t[5])/96 + (7*t[6])/32 + (4*t[7])/3 - 
       (5*t[8])/12 + (121*t[9])/96 + (1717*t[10])/192 + (81*t[11])/32 - 
       (519*t[12])/64 - (19*t[13])/36 + (3721*t[14])/1152 - (11*t[15])/72 + 
       t[19]/2 - t[20]/2 - t[21]/2 + t[22]/4 + t[23]/2 + (3*t[25])/4 - 
       (3*t[26])/2 - t[27]/4 + t[29]/4 - (3*t[30])/4 - t[31]/2 + t[32]/4 - 
       t[33]/4 - t[34]/8 + t[36]/6 - t[37]/4 + (7*t[38])/8 + t[39]/4 - 
       (3*t[40])/8 - t[41]/16 + t[42]/16 - t[43]/8 + t[45]/4 - t[46]/4 - 
       (29*t[48])/32 + (331*t[49])/192 + (27*t[50])/32 - (1313*t[51])/384 - 
       (31*t[52])/32 - (667*t[53])/192 - (199*t[54])/24 - t[59]/4 + 
       (793*t[60])/96 + (1631*t[61])/96 - (1069*t[62])/192 - 
       (187*t[63])/192 - (3209*t[64])/192 + (2179*t[65])/288 + 
       (3437*t[66])/288 - (5*t[69])/12 + t[70]/2 - t[71]/2 + t[72]/2 - 
       (5*t[73])/12 + t[74]/4 - (5*t[75])/4 - (11*t[76])/4 + t[77]/2 + 
       (9*t[78])/4 + (5*t[79])/12 - (5*t[80])/2 + t[81]/8 - (7*t[82])/8 + 
       t[83]/24 + (583*t[84])/96 + (121*t[85])/96 + (7*t[86])/12 + 
       (107*t[87])/32 + (259*t[88])/64 + (545*t[89])/64 - t[95]/2 - t[96]/2 + 
       t[97]/4 - 9*t[98] + 6*t[99] - (11*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v]*
      ((-11*t[1])/24 + (419*t[4])/96 + (5*t[5])/48 + t[6]/4 + (2*t[7])/3 + 
       (2*t[8])/3 - (5*t[9])/48 - (73*t[10])/192 + (29*t[11])/16 - 
       (253*t[12])/192 + (443*t[13])/288 + (617*t[14])/384 - 
       (169*t[15])/192 + (11*t[26])/24 - t[36]/6 + (5*t[37])/16 - 
       (11*t[38])/24 - (9*t[46])/16 + t[48]/4 - (91*t[49])/192 + t[50]/4 - 
       (89*t[51])/128 - t[52]/4 - (161*t[53])/192 - (293*t[54])/96 + 
       (5*t[59])/48 + (473*t[60])/96 + (433*t[61])/96 - (311*t[62])/64 - 
       (463*t[63])/192 - (327*t[64])/64 - (185*t[65])/96 - (89*t[66])/32 - 
       t[73]/2 + t[74]/6 - (5*t[75])/2 - t[81]/3 + t[82]/3 + (17*t[83])/6 + 
       (269*t[84])/96 + (221*t[85])/96 + (8*t[86])/3 - (61*t[87])/32 - 
       (79*t[88])/192 + (235*t[89])/192 - (4*t[95])/3 - (5*t[100])/2) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      (-t[1]/12 + (323*t[4])/96 + (17*t[5])/48 + t[6]/4 - (5*t[7])/24 - 
       (5*t[8])/24 - (17*t[9])/48 - (499*t[10])/192 + (65*t[11])/24 - 
       (475*t[12])/192 + (1025*t[13])/288 - (2587*t[14])/1152 + 
       (89*t[15])/192 + t[26]/12 - t[36]/6 - t[38]/12 - t[46]/4 + t[48]/4 - 
       (61*t[49])/192 + t[50]/4 + (9*t[51])/128 - t[52]/4 - (83*t[53])/192 - 
       (293*t[54])/96 + t[59]/24 + (595*t[60])/96 + (121*t[61])/96 + 
       (497*t[62])/192 - (1249*t[63])/192 - (61*t[64])/64 - (59*t[65])/288 + 
       (87*t[66])/32 - t[73]/2 + (2*t[74])/3 - (5*t[75])/2 + t[79]/2 - 
       t[81]/3 + t[82]/3 + (17*t[83])/6 + (269*t[84])/96 + (221*t[85])/96 - 
       (5*t[86])/6 - (77*t[87])/32 - (127*t[88])/192 + (973*t[89])/192 - 
       (4*t[95])/3 - (5*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((11*t[1])/24 + (11*t[3])/8 + (7*t[4])/12 + 
       (61*t[5])/96 - (157*t[6])/64 + (137*t[7])/48 + (149*t[8])/48 - 
       (193*t[9])/96 - (449*t[10])/96 + (299*t[11])/64 - (37*t[12])/12 - 
       (433*t[13])/288 + (1375*t[14])/288 - (691*t[15])/192 + t[25]/4 - 
       (17*t[26])/24 - (3*t[28])/2 - (3*t[31])/2 + (3*t[35])/2 + 
       (2*t[36])/3 - t[37]/4 + (11*t[38])/24 - (3*t[39])/2 + (3*t[40])/2 - 
       (3*t[45])/2 - (5*t[46])/8 + 3*t[47] - (13*t[48])/64 + (23*t[49])/48 + 
       (67*t[50])/64 - (27*t[51])/16 - (67*t[52])/64 - (23*t[53])/12 - 
       (239*t[54])/192 - (13*t[59])/24 - (85*t[60])/96 + (59*t[61])/24 - 
       (1295*t[62])/64 + (439*t[63])/64 + (131*t[64])/12 - (193*t[65])/32 - 
       (1975*t[66])/288 - t[69]/2 + t[70]/4 - t[71]/4 + t[73]/8 - 
       (11*t[74])/12 - (29*t[75])/8 - (3*t[77])/2 - (3*t[78])/2 - t[79]/4 + 
       3*t[80] - (71*t[81])/48 + (71*t[82])/48 + (67*t[83])/12 - 
       (113*t[84])/96 - (31*t[85])/48 + (239*t[86])/12 + (479*t[87])/96 + 
       (181*t[88])/64 - (1525*t[89])/192 - (2*t[95])/3 - (5*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((25*t[1])/24 - (83*t[2])/96 + t[3]/6 + (2971*t[4])/384 + 
       (127*t[5])/64 - (557*t[6])/192 + (21*t[7])/32 - (49*t[8])/32 - 
       (59*t[9])/64 + (1091*t[10])/768 + (809*t[11])/96 - (1765*t[12])/768 + 
       (6395*t[13])/1152 + (4171*t[14])/4608 - (2179*t[15])/2304 + t[25]/6 - 
       (4*t[26])/3 + t[27]/12 + (3*t[28])/8 - t[30]/8 - (11*t[31])/24 - 
       t[34]/6 - (3*t[35])/4 + t[36]/8 + (17*t[37])/24 + (7*t[38])/6 - 
       t[39]/12 + (7*t[40])/24 + t[41]/12 - t[42]/12 - t[43]/16 - 
       (3*t[44])/8 - t[45]/6 - (13*t[46])/48 + t[47]/3 - (55*t[48])/64 + 
       (219*t[49])/256 - (103*t[50])/64 + (329*t[51])/1536 + (23*t[52])/64 - 
       (363*t[53])/256 - (369*t[54])/128 - t[58]/6 - (7*t[59])/48 + 
       (3977*t[60])/384 + (1201*t[61])/384 - (6985*t[62])/768 - 
       (7615*t[63])/768 - (1195*t[64])/768 - (9155*t[65])/1152 - 
       (18193*t[66])/1152 + t[69]/2 - t[70]/12 + t[71]/12 + (2*t[72])/3 - 
       (3*t[73])/8 + t[74]/8 - t[75]/8 + (13*t[76])/6 + t[77]/3 - 
       (59*t[78])/24 - t[79]/8 + (35*t[80])/12 + (17*t[81])/16 - 
       (31*t[82])/48 + (25*t[83])/24 + (181*t[84])/384 + (169*t[85])/384 + 
       (19*t[86])/8 - (2341*t[87])/384 - (599*t[88])/256 - (929*t[89])/768 + 
       (5*t[96])/6 + (7*t[97])/8 + (23*t[98])/2 - 15*t[99] - (5*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-89*t[4])/6 - t[5]/6 + t[7]/3 + t[8]/3 + t[9]/6 - (35*t[10])/12 - 
       (14*t[11])/3 + (61*t[12])/12 - (35*t[13])/18 - (43*t[14])/36 + 
       t[15]/3 - (59*t[49])/12 + (5*t[51])/2 + (59*t[53])/12 + (11*t[54])/2 - 
       (119*t[60])/6 + 3*t[61] + (2*t[62])/3 + (14*t[63])/3 + (145*t[64])/6 + 
       (173*t[65])/18 + (41*t[66])/18 + 6*t[75] - (10*t[83])/3 - 
       (11*t[84])/2 - (11*t[85])/2 + (4*t[86])/3 + (113*t[87])/6 + 
       (113*t[88])/12 - (17*t[89])/4 - 2*t[100]) + 
     HPL[{1}, 1 - v]^2*M1[v, u, w]*(-t[1]/3 - t[3]/6 - (49*t[4])/24 - 
       t[5]/12 + t[6]/2 + t[7]/4 + (7*t[8])/12 + t[9]/4 + (139*t[10])/16 - 
       (16*t[11])/3 - (131*t[12])/48 - (139*t[13])/72 + (1285*t[14])/288 + 
       (79*t[15])/144 + t[25]/3 - t[27]/2 - t[38]/3 - t[46] + t[48]/4 + 
       (127*t[49])/48 - t[50]/12 - (137*t[51])/96 + t[52]/12 - 
       (103*t[53])/48 + (35*t[54])/24 - t[59]/6 - (41*t[60])/8 + 
       (185*t[61])/24 - (11*t[62])/16 + (521*t[63])/48 - (89*t[64])/48 + 
       (97*t[65])/24 + (71*t[66])/24 - t[69] + t[70]/2 - t[71]/2 + 
       (3*t[76])/2 + (5*t[83])/12 - (17*t[84])/24 - (37*t[85])/24 + t[86]/3 + 
       (15*t[87])/8 + (15*t[88])/16 - (43*t[89])/16 - 2*t[100]) + 
     HPL[{1}, 1 - u]^3*Omega2[v, w, u]*(-t[4]/3 - t[5]/6 + t[7]/3 + t[8]/3 + 
       t[9]/6 + t[10]/12 - t[11]/6 - (23*t[12])/12 - (10*t[13])/9 + 
       (173*t[14])/144 - t[15]/4 + t[49]/12 - (9*t[51])/16 - t[53]/12 - 
       (3*t[54])/4 - (5*t[60])/6 + 5*t[61] - (47*t[62])/24 + (55*t[63])/24 - 
       (11*t[64])/6 + (47*t[65])/36 + (61*t[66])/36 - 2*t[75] + (5*t[83])/3 + 
       (3*t[84])/4 + (3*t[85])/4 + (4*t[86])/3 + (5*t[87])/6 + (5*t[88])/12 + 
       t[89]/2 - 2*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      Omega2[u, v, w]*(-t[4]/3 - t[5]/6 + t[7]/3 + t[8]/3 + t[9]/6 + 
       t[10]/12 - t[11]/6 - (23*t[12])/12 - (10*t[13])/9 + (173*t[14])/144 - 
       t[15]/4 + t[49]/12 - (9*t[51])/16 - t[53]/12 - (3*t[54])/4 - 
       (5*t[60])/6 + 5*t[61] - (47*t[62])/24 + (55*t[63])/24 - (11*t[64])/6 + 
       (55*t[65])/36 + (61*t[66])/36 - 2*t[75] + (5*t[83])/3 + (3*t[84])/4 + 
       (3*t[85])/4 + (4*t[86])/3 + (5*t[87])/6 + (5*t[88])/12 + t[89]/2 - 
       2*t[100]) + HPL[{1}, 1 - v]^3*Omega2[v, w, u]*
      (-t[1]/3 - t[3]/6 - (32*t[4])/3 - t[5]/12 + t[6]/4 + t[8]/3 + t[9]/4 - 
       3*t[10] - (7*t[11])/12 + (10*t[12])/3 + (19*t[13])/36 - 
       (263*t[14])/72 + (125*t[15])/72 + t[25]/3 - t[38]/3 + t[46] + 
       t[48]/4 - (35*t[49])/12 - t[50]/12 + (37*t[51])/24 + t[52]/12 + 
       (59*t[53])/12 + (11*t[54])/6 - t[59]/6 - (15*t[60])/2 + 
       (13*t[61])/12 + (23*t[62])/6 + (2*t[63])/3 + (389*t[64])/24 + 
       (83*t[65])/12 + (67*t[66])/12 - 2*t[69] + t[70] - t[71] + 2*t[75] - 
       (17*t[83])/6 - (19*t[84])/12 - (23*t[85])/12 - (2*t[86])/3 + 6*t[87] + 
       3*t[88] + (5*t[89])/4 - 2*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      Omega2[u, v, w]*(-t[1]/3 - t[3]/6 + (4*t[4])/3 - t[5]/12 + t[6]/4 + 
       t[7]/2 + (5*t[8])/6 + t[9]/4 - (9*t[10])/4 + (17*t[11])/12 + 
       (7*t[12])/12 + (61*t[13])/36 + (29*t[14])/36 - (37*t[15])/72 + 
       t[25]/3 - t[38]/3 + t[46] + t[48]/4 - (13*t[49])/6 - t[50]/12 - 
       (4*t[51])/3 + t[52]/12 + t[53]/6 - (2*t[54])/3 - t[59]/6 + 
       (3*t[60])/2 + (25*t[61])/12 - (5*t[62])/2 - (11*t[63])/6 - t[64]/24 - 
       t[65]/4 - (47*t[66])/12 - 2*t[75] + (5*t[83])/3 + (11*t[84])/12 + 
       (7*t[85])/12 + (4*t[86])/3 + t[87] + t[88]/2 + (7*t[89])/4 - 
       2*t[100]) + HPL[{1}, 1 - v]^3*Omega2[w, u, v]*
      (-t[1]/3 - t[3]/6 + (4*t[4])/3 - t[5]/12 + t[6]/4 + t[7]/2 + 
       (5*t[8])/6 + t[9]/4 - (9*t[10])/4 + (17*t[11])/12 + (7*t[12])/12 + 
       (61*t[13])/36 + (29*t[14])/36 - (37*t[15])/72 + t[25]/3 - t[38]/3 + 
       t[46] + t[48]/4 - (13*t[49])/6 - t[50]/12 - (4*t[51])/3 + t[52]/12 + 
       t[53]/6 - (2*t[54])/3 - t[59]/6 + (3*t[60])/2 + (19*t[61])/12 - 
       (8*t[62])/3 - (11*t[63])/6 + (11*t[64])/24 - t[65]/4 - (47*t[66])/12 - 
       2*t[75] + (5*t[83])/3 + (11*t[84])/12 + (7*t[85])/12 + (4*t[86])/3 + 
       t[87] + t[88]/2 + (7*t[89])/4 - 2*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((-25*t[4])/48 + t[5]/48 - t[7]/24 - t[8]/24 - (19*t[9])/48 + 
       (281*t[10])/96 - (67*t[11])/24 - (361*t[12])/96 - (427*t[13])/144 + 
       (461*t[14])/576 + (5*t[15])/48 + t[36]/2 + (95*t[49])/96 - 
       (91*t[51])/64 - (95*t[53])/96 - (29*t[54])/16 - (145*t[60])/48 + 
       (107*t[61])/16 - (11*t[62])/96 + (619*t[63])/96 - (515*t[64])/96 + 
       (619*t[65])/144 + (1261*t[66])/144 - t[72]/4 - t[73]/2 - (3*t[75])/2 - 
       (3*t[76])/4 + t[79]/2 + (17*t[83])/12 + (13*t[84])/16 + 
       (13*t[85])/16 - t[86]/6 + (61*t[87])/48 + (61*t[88])/96 + 
       (79*t[89])/32 - 2*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2*(t[1]/6 - t[3]/6 + (67*t[4])/48 - (11*t[5])/24 + 
       t[6]/16 + t[7]/8 + (11*t[8])/24 + (5*t[9])/8 - (203*t[10])/32 + 
       (245*t[11])/48 + (107*t[12])/96 + (499*t[13])/144 - (493*t[14])/576 - 
       (223*t[15])/288 + t[25]/3 - t[26]/2 + t[27]/4 - t[37]/2 + t[38]/6 + 
       (9*t[46])/4 + t[48]/16 - (403*t[49])/96 - (13*t[50])/48 - 
       (175*t[51])/192 + (13*t[52])/48 + (163*t[53])/96 - (13*t[54])/24 - 
       t[59]/3 + (61*t[60])/16 - (41*t[61])/48 - (69*t[62])/32 - 
       (761*t[63])/96 + (365*t[64])/96 - (45*t[65])/16 - (449*t[66])/48 - 
       t[73]/2 + t[74]/2 - (3*t[75])/2 - (3*t[76])/4 + t[79]/2 + t[81]/4 - 
       t[82]/4 + (17*t[83])/12 + (47*t[84])/48 + (49*t[85])/48 - t[86]/6 + 
       (17*t[87])/16 + (17*t[88])/32 + (95*t[89])/32 - 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-331*t[1])/36 + (5*t[3])/2 - (895*t[4])/18 + (1703*t[5])/144 + 
       (25*t[6])/12 + (109*t[7])/72 + (901*t[8])/72 - (839*t[9])/144 - 
       (11435*t[10])/288 - (2189*t[11])/144 + (15331*t[12])/288 + 
       (1927*t[13])/432 - (29393*t[14])/576 + (2681*t[15])/144 + 
       (331*t[26])/36 - t[27] + (77*t[36])/18 - (331*t[38])/36 + 
       (45*t[46])/8 + (49*t[48])/12 - (4733*t[49])/288 - (59*t[50])/12 + 
       (2561*t[51])/192 + (59*t[52])/12 + (5897*t[53])/288 + 
       (1591*t[54])/72 + (331*t[59])/72 - (9323*t[60])/144 - 
       (5401*t[61])/144 + (18985*t[62])/288 - (4481*t[63])/288 + 
       (8743*t[64])/96 + (13873*t[65])/216 + (6131*t[66])/72 + (13*t[69])/3 + 
       2*t[72] + t[73]/6 - (40*t[74])/9 + (79*t[75])/6 - 3*t[76] + 
       (23*t[79])/6 + (2*t[81])/9 + (16*t[82])/9 - (140*t[83])/9 - 
       (985*t[84])/72 - (1177*t[85])/72 - (251*t[86])/18 + (85*t[87])/3 + 
       (769*t[88])/72 + (6743*t[89])/288 + (80*t[95])/9 - (11*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      ((-23*t[1])/6 + (2*t[2])/3 + (115*t[3])/12 + (71*t[4])/12 - 
       (55*t[5])/24 - (59*t[6])/4 - (77*t[7])/12 - (415*t[8])/12 + 
       (61*t[9])/24 - (299*t[10])/12 - (77*t[11])/12 - (53*t[12])/24 + 
       (2275*t[13])/216 - (3479*t[14])/144 - (731*t[15])/144 - (2*t[26])/3 + 
       (2*t[27])/3 - t[28] - t[29] + t[31]/3 - t[32] + t[33] + (7*t[34])/3 + 
       2*t[35] + 2*t[36] + (7*t[37])/3 - (5*t[38])/6 - (5*t[39])/2 + 
       (11*t[40])/3 - (7*t[41])/6 + (7*t[42])/6 - (5*t[45])/3 - t[46]/2 + 
       (7*t[47])/3 - (33*t[48])/4 - (79*t[49])/12 + (35*t[50])/12 + 
       (215*t[51])/48 - (71*t[52])/12 + (5*t[53])/12 - 8*t[54] - 
       (2*t[58])/3 - (4*t[59])/3 + (137*t[60])/6 - (583*t[61])/12 + 
       (161*t[62])/6 - (7*t[63])/3 - (207*t[64])/8 + (145*t[65])/6 + 
       (226*t[66])/9 - 2*t[69] + (8*t[70])/3 - (8*t[71])/3 - 2*t[72] - 
       t[74] + t[75] + (4*t[76])/3 - (7*t[77])/3 + (20*t[78])/3 - 4*t[79] + 
       3*t[80] + (11*t[81])/3 + t[82]/3 + (11*t[83])/3 + (49*t[84])/4 + 
       (289*t[85])/12 + 16*t[86] - (149*t[87])/12 - (23*t[88])/8 + 
       (9*t[89])/4 - 2*t[95] - (17*t[96])/3 - 2*t[97] + 16*t[98] - 12*t[99] - 
       (3*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((11*t[1])/2 + (13*t[2])/4 - (31*t[3])/4 - 
       (191*t[4])/8 - 27*t[5] + (145*t[6])/8 + (63*t[7])/4 + (87*t[8])/4 + 
       (83*t[9])/4 + (231*t[10])/16 - (249*t[11])/8 - (89*t[12])/16 - 
       (194*t[13])/9 + (283*t[14])/32 + (53*t[15])/48 + 2*t[19] - 2*t[20] - 
       2*t[21] + t[22] + 2*t[23] - 4*t[25] + (5*t[26])/2 - t[27] + t[29] + 
       4*t[30] + 4*t[31] + 2*t[32] - 2*t[33] - t[34] + t[36] - 5*t[37] + 
       (5*t[38])/2 + 2*t[39] - (9*t[40])/2 + t[43] + t[44] + t[45] - t[46] + 
       t[47] + (7*t[48])/8 + (69*t[49])/16 + (63*t[50])/8 - (85*t[51])/32 + 
       t[52]/8 + (51*t[53])/16 + (57*t[54])/4 + t[58]/2 - (5*t[59])/4 - 
       (333*t[60])/8 + (77*t[61])/8 + (189*t[62])/16 + (603*t[63])/16 + 
       (169*t[64])/16 + (91*t[65])/8 + (267*t[66])/8 - 2*t[70] + 2*t[71] - 
       2*t[72] - t[74] - (13*t[76])/2 - 2*t[77] + (25*t[78])/2 - 8*t[80] - 
       (9*t[81])/2 - (51*t[84])/8 - (33*t[85])/8 + 6*t[86] + (197*t[87])/8 + 
       (45*t[88])/16 + (29*t[89])/16 + 2*t[95] + 2*t[96] - (5*t[97])/2 - 
       48*t[98] + 70*t[99] - (3*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((-11*t[1])/4 + (13*t[2])/2 + 
       t[3]/4 - (261*t[4])/8 + (13*t[5])/8 + (69*t[6])/8 - 2*t[7] + 2*t[8] + 
       (61*t[9])/8 - (721*t[10])/16 - (183*t[11])/8 + (281*t[12])/16 + 
       (10*t[13])/3 - (2525*t[14])/96 + (57*t[15])/8 + 2*t[19] + 2*t[20] + 
       2*t[21] - 2*t[22] - 2*t[23] + t[26] - 2*t[27] + t[29] + 4*t[30] + 
       2*t[31] - 2*t[32] + 2*t[33] + (3*t[34])/2 + t[36] + t[37] - 2*t[38] - 
       (7*t[39])/2 - t[40]/2 + t[41]/4 - t[42]/4 + t[43] + t[44] - 5*t[45] + 
       7*t[47] + (41*t[48])/8 - (171*t[49])/16 + (57*t[50])/8 + 
       (361*t[51])/32 - (13*t[52])/8 + (195*t[53])/16 + (93*t[54])/4 + 
       (59*t[59])/12 - (155*t[60])/24 + (79*t[61])/2 + (1377*t[62])/32 + 
       (3635*t[63])/32 - (2557*t[64])/24 + (4321*t[65])/48 + 
       (3559*t[66])/72 - (7*t[68])/3 - 2*t[70] + 2*t[71] - 2*t[72] + 
       14*t[73] + 6*t[74] + 25*t[75] - (71*t[76])/6 + (13*t[77])/3 + 
       (77*t[78])/6 - (29*t[79])/2 - (229*t[80])/12 - (7*t[81])/3 - 
       (29*t[82])/6 - 41*t[83] + (1439*t[84])/48 - (701*t[85])/48 - 
       (481*t[86])/8 - (337*t[87])/16 - (657*t[88])/32 + (7*t[89])/4 - 
       t[91]/12 + t[93] + 8*t[95] - (11*t[97])/6 - 48*t[98] + 70*t[99] - 
       (3*t[100])/2) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-53*t[1])/6 + (127*t[2])/24 - (679*t[3])/48 + (731*t[4])/48 + 
       (111*t[5])/16 + (94*t[6])/3 - (189*t[7])/16 + (249*t[8])/16 - 
       (173*t[9])/8 + (289*t[10])/96 + (151*t[11])/48 + (229*t[12])/96 + 
       (301*t[13])/288 + (1919*t[14])/576 + (1721*t[15])/144 - 2*t[18] - 
       (5*t[20])/2 - 3*t[21] - t[22] + 3*t[23] - (7*t[24])/2 + (31*t[25])/6 + 
       (13*t[26])/6 - (11*t[27])/3 - 2*t[28] - (9*t[29])/4 - (3*t[30])/2 + 
       t[31]/6 + (7*t[32])/4 - t[33]/2 - (7*t[34])/6 + 4*t[35] - 5*t[36] - 
       (49*t[37])/6 - (41*t[38])/6 + (25*t[39])/6 - (23*t[40])/6 + 
       (7*t[41])/12 - (19*t[42])/12 + (59*t[43])/16 + (43*t[44])/8 + 
       (119*t[45])/24 - (17*t[46])/6 - (41*t[47])/3 + (65*t[48])/16 - 
       (369*t[49])/32 + (137*t[50])/16 - (419*t[51])/192 - (25*t[52])/16 - 
       (223*t[53])/32 - (177*t[54])/8 + (5*t[58])/6 + (77*t[59])/12 + 
       (2503*t[60])/48 + (3113*t[61])/48 - (47*t[62])/96 - (2081*t[63])/96 - 
       (7391*t[64])/96 + (7109*t[65])/144 + (15529*t[66])/144 + (3*t[69])/2 + 
       (55*t[70])/6 - (55*t[71])/6 - (7*t[72])/3 + 4*t[73] + (11*t[74])/2 - 
       4*t[75] - (307*t[76])/12 + (10*t[77])/3 + (217*t[78])/6 - 
       (137*t[80])/6 - (13*t[81])/2 - (25*t[82])/12 - (16*t[83])/3 + 
       (1793*t[84])/48 - (181*t[85])/48 - 20*t[86] + (2125*t[87])/48 + 
       (1607*t[88])/32 + (3605*t[89])/96 - t[92]/2 + t[94]/2 - 11*t[95] - 
       (41*t[96])/3 - (3*t[97])/2 - 200*t[98] + 228*t[99] - (3*t[100])/2) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*((-17*t[1])/6 - 
       (25*t[2])/12 - (425*t[3])/48 + (1085*t[4])/48 - (139*t[5])/24 + 
       (217*t[6])/8 - (419*t[7])/48 + (59*t[8])/48 - (691*t[9])/48 - 
       (427*t[10])/96 + (901*t[11])/48 + (2371*t[12])/96 + 
       (19273*t[13])/864 - (14147*t[14])/576 + (1177*t[15])/288 - t[16] - 
       t[18] + t[19] + (5*t[20])/2 - (3*t[22])/2 + t[24]/2 + 3*t[25] - 
       (19*t[26])/6 + t[27]/6 + 2*t[28] - (13*t[29])/4 + t[30] + t[31]/3 + 
       5*t[32] + 2*t[33] - (5*t[34])/3 - 4*t[35] - 9*t[36] - (7*t[37])/6 - 
       t[38]/3 - (15*t[39])/4 - (5*t[40])/6 + t[41]/12 - (7*t[42])/12 + 
       (67*t[43])/16 + (15*t[44])/8 + (89*t[45])/24 - (13*t[46])/4 - 
       (49*t[47])/6 - (33*t[48])/16 - (2987*t[49])/96 + (221*t[50])/48 + 
       (3311*t[51])/192 + (19*t[52])/48 + (1483*t[53])/96 - (145*t[54])/8 - 
       t[55]/2 + (4*t[58])/3 - t[59]/12 + (4585*t[60])/48 + (413*t[61])/48 + 
       (1559*t[62])/96 - (6383*t[63])/96 - (197*t[64])/32 - (673*t[65])/48 + 
       (3859*t[66])/144 + t[67]/2 + 2*t[68] + (26*t[70])/3 - (26*t[71])/3 - 
       t[72]/2 + 4*t[73] + 8*t[74] - 4*t[75] - (74*t[76])/3 + (7*t[77])/6 + 
       (193*t[78])/6 + 8*t[79] - 13*t[80] - (17*t[81])/6 - (35*t[82])/12 - 
       (35*t[83])/6 + (447*t[84])/16 + (313*t[85])/48 - (31*t[86])/2 + 
       (1135*t[87])/48 + (1397*t[88])/32 + (585*t[89])/32 + t[92]/2 - 
       t[94]/2 - 12*t[95] - (97*t[96])/6 - t[97] - 200*t[98] + 228*t[99] - 
       (3*t[100])/2) + HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - w]*
      ((-101*t[4])/48 - (5*t[5])/192 + (5*t[7])/96 + (5*t[8])/96 + 
       (5*t[9])/192 - (109*t[10])/96 - (41*t[11])/96 + (101*t[12])/192 - 
       (31*t[13])/16 + (505*t[14])/1152 + (287*t[15])/1152 + (5*t[36])/24 + 
       t[49]/48 + (365*t[51])/384 + (29*t[53])/48 + (193*t[54])/96 - 
       (23*t[60])/6 + t[61]/24 - (541*t[62])/192 + (725*t[63])/192 + 
       (19*t[64])/8 - (259*t[65])/96 - (559*t[66])/288 + (5*t[69])/12 - 
       (5*t[73])/24 - (5*t[75])/8 + (5*t[79])/24 + (5*t[83])/3 - 
       (193*t[84])/96 - (193*t[85])/96 + (5*t[86])/24 - (11*t[87])/24 - 
       (11*t[88])/48 - (63*t[89])/16 - (5*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*
      (-t[1] - (17*t[3])/12 - (23*t[4])/48 - (67*t[5])/192 + (45*t[6])/16 - 
       (95*t[7])/32 - (301*t[8])/96 + (113*t[9])/64 + (161*t[10])/32 - 
       (103*t[11])/32 + (415*t[12])/192 - (41*t[13])/144 - (445*t[14])/384 + 
       (3545*t[15])/1152 - t[25]/6 + (7*t[26])/6 + (3*t[28])/2 + 
       (3*t[31])/2 - (3*t[35])/2 - (17*t[36])/24 - t[38] + (3*t[39])/2 - 
       (3*t[40])/2 + (3*t[45])/2 + t[46] - 3*t[47] + (9*t[48])/16 - 
       (19*t[49])/24 - (37*t[50])/48 + (325*t[51])/384 + (37*t[52])/48 + 
       (23*t[53])/12 + (151*t[54])/96 + (2*t[59])/3 + (3*t[60])/4 + 
       (41*t[61])/12 + (881*t[62])/64 - (251*t[63])/192 - (631*t[64])/48 - 
       (107*t[65])/96 + (697*t[66])/288 + t[69]/4 - (5*t[73])/8 + 
       (11*t[74])/6 + (5*t[75])/8 + (3*t[77])/2 + (3*t[78])/2 + (9*t[79])/8 - 
       3*t[80] + (13*t[81])/12 - (13*t[82])/12 - (7*t[83])/3 + 
       (59*t[84])/96 - (19*t[85])/32 - (493*t[86])/24 - (161*t[87])/24 - 
       (145*t[88])/48 + (97*t[89])/24 - (2*t[95])/3 - (5*t[100])/4) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((17*t[1])/24 + t[3]/2 + (2633*t[4])/576 + (115*t[5])/576 - 
       (39*t[6])/16 + (281*t[7])/288 + (281*t[8])/288 - (619*t[9])/576 + 
       (2681*t[10])/1152 + (13*t[11])/36 - (8245*t[12])/1152 - 
       (6571*t[13])/1728 - (9715*t[14])/6912 - (71*t[15])/48 - 
       (17*t[26])/24 - t[28]/2 - t[31]/2 + t[35]/2 + (19*t[36])/24 + 
       (17*t[38])/24 - t[39]/2 + t[40]/2 - t[45]/2 - (3*t[46])/8 + t[47] - 
       (3*t[48])/16 + (6071*t[49])/1152 + (5*t[50])/16 - (2435*t[51])/768 - 
       (5*t[52])/16 - (5675*t[53])/1152 - (1151*t[54])/192 - (17*t[59])/48 + 
       (2087*t[60])/576 + (445*t[61])/192 - (3803*t[62])/1152 + 
       (8467*t[63])/1152 - (10127*t[64])/1152 + (5725*t[65])/1728 + 
       (17323*t[66])/1728 - (5*t[69])/12 - t[73]/8 - (2*t[74])/3 - 
       (25*t[75])/24 - (3*t[76])/4 - t[77]/2 - t[78]/2 + t[79]/8 + t[80] + 
       (31*t[81])/12 + (5*t[82])/12 + (14*t[83])/9 + (227*t[84])/192 + 
       (299*t[85])/192 + (497*t[86])/72 + (1399*t[87])/576 + 
       (1063*t[88])/1152 + (1463*t[89])/384 + t[95]/3 - (7*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*((-221*t[4])/12 + 
       (23*t[5])/48 - (23*t[7])/24 - (23*t[8])/24 - (23*t[9])/48 + 
       (259*t[10])/24 - (137*t[11])/24 - (115*t[12])/48 - (419*t[13])/36 + 
       (3395*t[14])/288 - (263*t[15])/96 + (3*t[36])/2 - (41*t[49])/6 - 
       (55*t[51])/32 + (41*t[53])/6 - (9*t[54])/8 - (139*t[60])/6 + 
       (129*t[61])/4 - (683*t[62])/48 + (1915*t[63])/48 - (121*t[64])/24 + 
       (703*t[65])/72 + (301*t[66])/72 + (25*t[73])/2 - (75*t[75])/2 + 
       (3*t[79])/2 + (101*t[83])/6 + (9*t[84])/8 + (9*t[85])/8 - 
       (23*t[86])/6 + (139*t[87])/6 + (139*t[88])/12 - (19*t[89])/4 - 
       t[100]) + HPL[{1}, 1 - u]^2*Nt[u, v, w]*(-t[4]/6 - t[5]/12 + t[7]/6 + 
       t[8]/6 + t[9]/12 + t[10]/24 - t[11]/12 - (23*t[12])/24 - (5*t[13])/9 + 
       (173*t[14])/288 - t[15]/8 + t[49]/24 - (9*t[51])/32 - t[53]/24 - 
       (3*t[54])/8 - (5*t[60])/12 + (5*t[61])/2 - (47*t[62])/48 + 
       (55*t[63])/48 - (11*t[64])/12 + (55*t[65])/72 + (61*t[66])/72 - 
       t[75] + (5*t[83])/6 + (3*t[84])/8 + (3*t[85])/8 + (2*t[86])/3 + 
       (5*t[87])/12 + (5*t[88])/24 + t[89]/4 - t[100]) + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^3*((-5*t[1])/48 - t[3]/12 - 
       (19*t[4])/48 - (17*t[5])/192 + (13*t[6])/128 + (3*t[7])/64 + 
       (41*t[8])/192 + (11*t[9])/64 - (3*t[10])/4 + (263*t[11])/384 + 
       (25*t[12])/96 + (341*t[13])/576 + (209*t[14])/1152 - (71*t[15])/1152 + 
       t[25]/6 - t[26]/16 - (3*t[37])/16 - (5*t[38])/48 + (19*t[46])/32 + 
       (13*t[48])/128 - (23*t[49])/24 - (25*t[50])/384 - (181*t[51])/384 + 
       (25*t[52])/384 + (41*t[53])/96 - (5*t[54])/384 - (3*t[59])/32 + 
       (3*t[60])/64 + (97*t[61])/96 - (65*t[62])/128 - (229*t[63])/384 + 
       (221*t[64])/192 + (13*t[65])/192 - (277*t[66])/192 - t[69]/4 + 
       t[70]/8 - t[71]/8 - t[73]/16 + (3*t[74])/16 - (7*t[75])/16 + 
       (3*t[79])/16 + t[81]/32 - t[82]/32 + t[83]/3 + (31*t[84])/192 + 
       t[85]/24 - (7*t[86])/48 + (51*t[87])/64 + (51*t[88])/128 + 
       (83*t[89])/128 - t[100]) + HPL[{1}, 1 - v]^2*Nt[u, v, w]*
      (-t[1]/6 - t[3]/12 + (2*t[4])/3 - t[5]/24 + t[6]/8 + t[7]/4 + 
       (5*t[8])/12 + t[9]/8 - (9*t[10])/8 + (17*t[11])/24 + (7*t[12])/24 + 
       (61*t[13])/72 + (29*t[14])/72 - (37*t[15])/144 + t[25]/6 - t[38]/6 + 
       t[46]/2 + t[48]/8 - (13*t[49])/12 - t[50]/24 - (2*t[51])/3 + 
       t[52]/24 + t[53]/12 - t[54]/3 - t[59]/12 + (3*t[60])/4 + 
       (25*t[61])/24 - (5*t[62])/4 - (11*t[63])/12 - t[64]/48 - t[65]/8 - 
       (47*t[66])/24 - t[75] + (5*t[83])/6 + (11*t[84])/24 + (7*t[85])/24 + 
       (2*t[86])/3 + t[87]/2 + t[88]/4 + (7*t[89])/8 - t[100]) + 
     HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - u]*(t[1]/12 - t[3]/12 + (5*t[4])/12 - 
       (11*t[5])/48 + t[6]/32 + (9*t[7])/32 + (43*t[8])/96 + (5*t[9])/16 - 
       (39*t[10])/32 + (95*t[11])/96 - (37*t[12])/48 + (115*t[13])/72 + 
       (217*t[14])/576 - (83*t[15])/288 + t[25]/6 - t[26]/4 - t[37]/8 + 
       t[38]/12 + (9*t[46])/16 + t[48]/32 - (55*t[49])/48 - (13*t[50])/96 - 
       (119*t[51])/192 + (13*t[52])/96 + t[53]/48 - (17*t[54])/96 - 
       (97*t[59])/240 + (11*t[60])/16 + (25*t[61])/24 - (137*t[62])/96 - 
       (151*t[63])/96 + (5*t[64])/3 + (5*t[65])/48 - (187*t[66])/48 - 
       t[69]/2 + t[70]/4 - t[71]/4 - t[73]/4 + t[74]/8 - (3*t[75])/4 + 
       t[79]/8 + t[81]/8 - t[82]/8 + (23*t[83])/24 + (19*t[84])/48 + 
       (5*t[85])/12 + (19*t[86])/24 + (11*t[87])/16 + (11*t[88])/32 + 
       (31*t[89])/32 - t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]^2*
      (t[4]/3 + t[5]/96 - t[7]/48 - t[8]/48 - t[9]/96 + (97*t[10])/24 - 
       (31*t[11])/48 - (83*t[12])/96 - (5*t[13])/9 + (1771*t[14])/576 - 
       (245*t[15])/192 + t[36]/4 - (25*t[49])/48 - (103*t[51])/64 - 
       (11*t[53])/48 - (25*t[54])/16 + (29*t[60])/24 + (19*t[61])/4 - 
       (91*t[62])/96 + (179*t[63])/96 - (59*t[64])/12 + (125*t[65])/48 - 
       (67*t[66])/144 - t[69]/2 - t[73]/4 + (7*t[75])/4 + t[79]/4 - 
       (23*t[83])/12 + (25*t[84])/16 + (25*t[85])/16 - t[86]/12 + 
       (103*t[87])/24 + (103*t[88])/48 + (17*t[89])/16 - t[100]) + 
     HPL[{1}, 1 - v]^2*M1[w, v, u]*(-t[1]/6 - t[3]/12 - (7*t[4])/3 - 
       t[5]/24 + t[6]/8 + t[8]/6 + t[9]/8 - (15*t[10])/8 + (5*t[11])/24 + 
       (5*t[12])/12 + (55*t[13])/72 - (89*t[14])/144 + (65*t[15])/144 + 
       t[25]/6 - t[38]/6 + t[46] + t[48]/8 - (29*t[49])/24 - t[50]/24 - 
       (23*t[51])/48 + t[52]/24 + (29*t[53])/24 + (13*t[54])/24 + t[59]/6 - 
       (3*t[60])/4 + (5*t[61])/12 + (9*t[62])/8 - (31*t[63])/24 + 
       (103*t[64])/24 + (13*t[65])/12 + (11*t[66])/12 - t[69] + t[70]/2 - 
       t[71]/2 - (11*t[83])/12 - (5*t[84])/12 - (7*t[85])/12 - t[86]/3 + 
       (5*t[87])/4 + (5*t[88])/8 + (9*t[89])/8 - t[100]) + 
     HPL[{1}, 1 - u]^3*Omega2[u, v, w]*((31*t[4])/12 - t[5]/12 + t[7]/6 + 
       t[8]/6 + t[9]/12 + (175*t[10])/24 - t[11]/3 - (59*t[12])/24 - 
       (11*t[13])/36 + (413*t[14])/72 - (5*t[15])/2 - (11*t[49])/24 - 
       (7*t[51])/2 - (25*t[53])/24 - 4*t[54] + (61*t[60])/12 + (37*t[61])/4 - 
       (23*t[62])/12 + (19*t[63])/12 - (271*t[64])/24 + (89*t[65])/18 - 
       (11*t[66])/18 - t[69] + 2*t[75] - (19*t[83])/6 + 4*t[84] + 4*t[85] + 
       (2*t[86])/3 + (71*t[87])/12 + (71*t[88])/24 + (27*t[89])/8 - t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*(-t[1]/6 - t[3]/12 - 
       t[4]/12 - (7*t[5])/6 - (7*t[6])/16 - (9*t[7])/8 - (23*t[8])/24 + 
       (5*t[9])/4 - (11*t[10])/8 + (679*t[11])/48 - (19*t[12])/3 + 
       (713*t[13])/36 + (25*t[14])/9 - (73*t[15])/36 + t[25]/6 - 2*t[26] - 
       (5*t[37])/2 - t[38]/6 + (49*t[46])/4 - (7*t[48])/16 - (269*t[49])/24 - 
       (29*t[50])/48 - (229*t[51])/24 + (29*t[52])/48 + (71*t[53])/24 - 
       (25*t[54])/48 - (47*t[59])/12 - (63*t[60])/8 - (4*t[61])/3 - 
       (131*t[62])/16 - (1055*t[63])/48 + (565*t[64])/24 + (143*t[65])/24 - 
       (1291*t[66])/24 - t[67] - 4*t[69] + 2*t[70] - 2*t[71] + (25*t[73])/2 + 
       (13*t[74])/2 - (75*t[75])/2 + (13*t[79])/2 + (3*t[81])/4 - 
       (3*t[82])/4 + (61*t[83])/3 + (29*t[84])/24 + (13*t[85])/6 - 
       (29*t[86])/6 + (165*t[87])/8 + (165*t[88])/16 + (141*t[89])/16 - 
       t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[v, w, u]*
      (-4*t[1] - (7*t[3])/6 + (25*t[4])/2 - t[5]/2 + (5*t[6])/2 - 
       (2*t[7])/3 - t[8]/3 + (5*t[9])/3 - (13*t[10])/24 + (79*t[11])/12 + 
       (121*t[12])/24 + (47*t[13])/9 + (233*t[14])/144 - (31*t[15])/72 + 
       t[25]/3 + (11*t[26])/3 + t[28] + t[31] - t[35] - (7*t[36])/3 - 
       4*t[38] + t[39] - t[40] + t[45] + (3*t[46])/2 - 2*t[47] + t[48] - 
       (113*t[49])/24 - t[50]/3 - (133*t[51])/48 + t[52]/3 + (29*t[53])/24 - 
       (73*t[54])/12 + (7*t[59])/4 + (173*t[60])/12 + (61*t[61])/6 + 
       (23*t[62])/24 - (125*t[63])/8 - (293*t[64])/12 - (101*t[65])/36 - 
       (29*t[66])/4 + 2*t[69] + (7*t[74])/3 - 5*t[75] + t[77] + t[78] - 
       2*t[80] + t[81]/3 - t[82]/3 + (13*t[83])/3 + (91*t[84])/12 + 
       (23*t[85])/4 - (28*t[86])/3 - 6*t[87] - (5*t[88])/3 + (223*t[89])/24 - 
       (8*t[95])/3 - t[100]) + HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - u]*
      ((5*t[1])/72 - (5*t[3])/72 + (25*t[4])/72 - (55*t[5])/288 + 
       (5*t[6])/192 + (7*t[7])/24 + (31*t[8])/72 + (25*t[9])/96 - 
       (109*t[10])/96 + (319*t[11])/576 - (11*t[12])/72 + (1153*t[13])/864 + 
       (13*t[14])/27 - (469*t[15])/1728 + (5*t[25])/36 - (5*t[26])/24 - 
       t[37]/24 + (5*t[38])/72 + t[46]/3 + (5*t[48])/192 - (31*t[49])/36 - 
       (65*t[50])/576 - (133*t[51])/288 + (65*t[52])/576 - (11*t[53])/144 - 
       (73*t[54])/576 - t[59]/24 + (59*t[60])/96 + (55*t[61])/72 - 
       (193*t[62])/192 - (485*t[63])/576 + (173*t[64])/144 + (11*t[65])/288 - 
       (991*t[66])/288 + t[69]/6 - t[70]/12 + (7*t[71])/48 - (5*t[73])/24 - 
       t[74]/6 - (5*t[75])/8 - t[79]/6 + (5*t[81])/48 - (5*t[82])/48 + 
       (17*t[83])/18 + (89*t[84])/288 + (47*t[85])/144 + (8*t[86])/9 + 
       (47*t[87])/96 + (47*t[88])/192 + (115*t[89])/192 - (5*t[100])/6) + 
     HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - w]*((49*t[4])/16 + t[5]/32 - t[7]/16 - 
       t[8]/16 - t[9]/32 + (91*t[10])/32 + t[11]/16 - (21*t[12])/8 - 
       (11*t[13])/16 + (241*t[14])/96 - (161*t[15])/192 + t[36]/4 + 
       (31*t[49])/32 - (25*t[51])/16 - (43*t[53])/32 - (15*t[54])/8 + 
       (63*t[60])/16 + (59*t[61])/16 - t[62] + (7*t[63])/4 - (279*t[64])/32 - 
       (13*t[65])/72 + (7*t[66])/24 - t[69]/4 - t[73]/4 - (3*t[75])/4 + 
       t[79]/4 + (5*t[83])/8 + (15*t[84])/8 + (15*t[85])/8 - t[86]/4 - 
       (15*t[87])/16 - (15*t[88])/32 + (41*t[89])/32 - (3*t[100])/4) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^3*((17*t[1])/48 + t[3]/4 - 
       (7*t[4])/8 + (11*t[5])/128 - (15*t[6])/32 + (33*t[7])/64 + 
       (33*t[8])/64 - (43*t[9])/128 - t[10]/128 - (13*t[11])/48 - 
       (83*t[12])/64 - (473*t[13])/576 + (605*t[14])/576 - (475*t[15])/768 - 
       (17*t[26])/48 - t[28]/4 - t[31]/4 + t[35]/4 + (19*t[36])/48 + 
       (17*t[38])/48 - t[39]/4 + t[40]/4 - t[45]/4 - (3*t[46])/16 + t[47]/2 - 
       (3*t[48])/32 + (27*t[49])/128 + (5*t[50])/32 - (67*t[51])/128 - 
       (5*t[52])/32 - (43*t[53])/128 - (97*t[54])/192 - (17*t[59])/96 - 
       (71*t[60])/64 + (353*t[61])/192 - (485*t[62])/192 + (511*t[63])/192 + 
       (691*t[64])/384 + (95*t[65])/64 + (829*t[66])/576 - (3*t[69])/8 - 
       t[73]/16 - t[74]/3 - (3*t[75])/16 - t[77]/4 - t[78]/4 + t[79]/16 + 
       t[80]/2 - (5*t[81])/24 + (5*t[82])/24 + t[83]/4 + (19*t[84])/192 + 
       (55*t[85])/192 + (57*t[86])/16 + (269*t[87])/96 + (247*t[88])/192 - 
       (151*t[89])/384 + t[95]/6 - (3*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      (-t[1]/2 - (25*t[3])/16 - (31*t[4])/144 - (2699*t[5])/576 - 
       (3*t[6])/32 + (143*t[7])/288 - (109*t[8])/288 + (3095*t[9])/576 + 
       (275*t[10])/288 + (223*t[11])/144 + (3919*t[12])/576 - 
       (1013*t[13])/864 + (30079*t[14])/3456 - (189*t[15])/128 - t[25]/4 + 
       t[26]/2 + t[27]/4 - (29*t[36])/24 - t[38]/4 - (5*t[46])/4 - 
       (35*t[48])/32 + (37*t[49])/36 - (7*t[50])/32 + (721*t[51])/384 + 
       (7*t[52])/32 + (17*t[53])/36 + (365*t[54])/48 + (17*t[59])/4 + 
       (4043*t[60])/144 + (1285*t[61])/48 - (1753*t[62])/576 - 
       (24919*t[63])/576 - (95*t[64])/288 - (55669*t[65])/864 - 
       (61867*t[66])/864 + (23*t[69])/12 - t[72]/2 + (149*t[73])/24 - 
       (7*t[74])/3 + (11*t[75])/24 - (115*t[76])/12 + (53*t[78])/6 - 
       (89*t[79])/24 - (15*t[80])/2 + (13*t[81])/4 + (97*t[82])/12 + 
       (403*t[83])/18 - (1019*t[84])/96 - (1739*t[85])/96 + (629*t[86])/72 - 
       (3695*t[87])/144 - (5591*t[88])/288 - (4717*t[89])/96 - (16*t[95])/3 + 
       (5*t[97])/3 + 4*t[99] - (2*t[100])/3) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((29*t[1])/144 + 
       (55*t[3])/144 + (1247*t[4])/288 + (325*t[5])/288 + (25*t[6])/48 - 
       (67*t[7])/32 + (77*t[8])/288 - (331*t[9])/96 - (675*t[10])/64 + 
       (511*t[11])/72 + (1429*t[12])/576 + (1571*t[13])/216 - 
       (25499*t[14])/3456 - (23*t[15])/432 + t[19]/2 + t[20]/2 + t[21]/2 - 
       t[22]/2 - t[23]/2 - (5*t[25])/36 - t[26]/4 + t[29]/4 - (3*t[30])/4 - 
       t[31]/2 - t[32]/4 + t[33]/4 + t[34]/8 - t[36]/4 - (25*t[37])/24 + 
       (19*t[38])/72 - t[39]/2 + (5*t[40])/8 + (3*t[41])/16 - (3*t[42])/16 - 
       t[43]/8 - t[45]/4 + (83*t[46])/48 - t[48]/6 - (2735*t[49])/576 - 
       (5*t[50])/18 + (1687*t[51])/1152 - (7*t[52])/72 + (887*t[53])/576 - 
       (685*t[54])/288 + (5*t[59])/48 + (1483*t[60])/96 - (1651*t[61])/288 + 
       (41*t[62])/192 - (11251*t[63])/576 + (697*t[64])/576 + 
       (677*t[65])/288 - (169*t[66])/288 + (5*t[69])/6 + t[70]/12 - 
       t[71]/12 + (3*t[72])/2 + (13*t[74])/24 - (5*t[75])/6 - 3*t[76] - 
       t[77]/4 + 3*t[78] + (7*t[79])/24 + (5*t[80])/2 + t[81]/8 + 
       (3*t[82])/8 - (5*t[83])/72 + (1267*t[84])/288 + (533*t[85])/288 - 
       (7*t[86])/72 - (25*t[87])/32 + (119*t[88])/64 + (415*t[89])/64 - 
       t[95]/2 - (3*t[96])/2 - 9*t[98] + 6*t[99] - (2*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((223*t[1])/36 + (37*t[2])/6 - (149*t[3])/12 - (1795*t[4])/36 - 
       (251*t[5])/9 + (881*t[6])/48 + (229*t[7])/36 + (493*t[8])/36 + 
       (35*t[9])/9 - (7459*t[10])/288 + (164*t[11])/9 + (8789*t[12])/288 + 
       (4507*t[13])/432 - (6613*t[14])/576 + (2645*t[15])/288 + t[25]/2 - 
       (187*t[26])/36 - (4*t[27])/3 + 2*t[28] - (8*t[31])/3 - 2*t[32] + 
       2*t[33] + (4*t[34])/3 - 2*t[35] - (58*t[36])/9 - (5*t[37])/3 + 
       (169*t[38])/36 - 3*t[39] - t[40]/3 - (2*t[41])/3 + (2*t[42])/3 + 
       (13*t[43])/4 - 2*t[44] + (29*t[45])/6 + (19*t[46])/6 - (35*t[47])/3 + 
       (65*t[48])/48 - (11101*t[49])/288 + (745*t[50])/48 + 
       (5765*t[51])/192 - (361*t[52])/48 + (10309*t[53])/288 + 
       (1915*t[54])/144 + (4*t[58])/3 - (277*t[59])/72 - (6013*t[60])/144 - 
       (7697*t[61])/144 - (16909*t[62])/288 - (29251*t[63])/288 + 
       (13519*t[64])/96 + (8201*t[65])/216 - (637*t[66])/8 + (25*t[69])/3 - 
       (4*t[70])/3 + (4*t[71])/3 + 3*t[72] + 21*t[73] - (23*t[74])/9 + 
       (19*t[75])/3 - (71*t[76])/3 - t[77]/3 + (71*t[78])/3 - 11*t[79] - 
       8*t[80] - (119*t[81])/36 - (601*t[82])/36 - (299*t[83])/18 + 
       (583*t[84])/72 - (307*t[85])/36 + (649*t[86])/9 + (1201*t[87])/24 + 
       (4369*t[88])/144 - (5957*t[89])/288 + (10*t[95])/9 - (26*t[96])/3 - 
       6*t[97] - 128*t[98] + 132*t[99] - (2*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      (t[1]/16 + (137*t[4])/96 - (11*t[5])/384 - (3*t[6])/128 + (7*t[7])/96 + 
       (7*t[8])/96 + (11*t[9])/384 + (155*t[10])/192 + (13*t[11])/384 - 
       (515*t[12])/384 + (175*t[13])/576 + (1111*t[14])/2304 - 
       (75*t[15])/256 - t[26]/16 + (3*t[36])/16 + t[37]/16 + t[38]/16 - 
       (5*t[46])/32 - (3*t[48])/128 + (13*t[49])/96 - (3*t[50])/128 - 
       (123*t[51])/256 + (3*t[52])/128 - (29*t[53])/48 - (137*t[54])/128 + 
       t[59]/32 + (217*t[60])/192 + (59*t[61])/32 - t[62]/96 + (5*t[63])/96 - 
       (587*t[64])/192 + (373*t[65])/288 + (79*t[66])/288 + t[69]/8 - 
       t[70]/8 + t[71]/8 - t[73]/4 - t[74]/16 - t[75]/2 + t[79]/8 + 
       t[81]/32 - t[82]/32 + (23*t[83])/24 + (35*t[84])/32 + (73*t[85])/64 + 
       (7*t[86])/24 + (77*t[87])/192 + (77*t[88])/384 + (175*t[89])/128 - 
       (5*t[100])/8) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^5*
      (t[1]/24 - t[3]/24 + (5*t[4])/24 - (11*t[5])/96 + t[6]/64 + 
       (9*t[7])/64 + (43*t[8])/192 + (5*t[9])/32 - (39*t[10])/64 + 
       (95*t[11])/192 - (37*t[12])/96 + (115*t[13])/144 + (217*t[14])/1152 - 
       (83*t[15])/576 + t[25]/12 - t[26]/8 - t[37]/16 + t[38]/24 + 
       (9*t[46])/32 + t[48]/64 - (55*t[49])/96 - (13*t[50])/192 - 
       (119*t[51])/384 + (13*t[52])/192 + t[53]/96 - (17*t[54])/192 - 
       (19*t[59])/96 + (11*t[60])/32 + (25*t[61])/48 - (137*t[62])/192 - 
       (151*t[63])/192 + (5*t[64])/6 + (5*t[65])/96 - (187*t[66])/96 - 
       t[69]/4 + t[70]/8 - t[71]/8 - t[73]/8 + t[74]/16 - (3*t[75])/8 + 
       t[79]/16 + t[81]/16 - t[82]/16 + (23*t[83])/48 + (19*t[84])/96 + 
       (5*t[85])/24 + (19*t[86])/48 + (11*t[87])/32 + (11*t[88])/64 + 
       (31*t[89])/64 - t[100]/2) + HPL[{1}, 1 - u]^2*M1[v, u, w]*
      ((67*t[4])/24 - t[5]/24 + t[7]/12 + t[8]/12 + t[9]/24 + 
       (169*t[10])/48 + (7*t[11])/12 - (125*t[12])/48 + (37*t[13])/72 + 
       (667*t[14])/288 - (13*t[15])/12 + (7*t[49])/48 - (61*t[51])/32 - 
       (43*t[53])/48 - (23*t[54])/8 + (91*t[60])/24 + (41*t[61])/8 - 
       (25*t[62])/48 - (31*t[63])/48 - (379*t[64])/48 + (221*t[65])/72 + 
       (11*t[66])/72 - t[69]/2 - t[83]/12 + (23*t[84])/8 + (23*t[85])/8 + 
       t[86]/3 + (41*t[87])/24 + (41*t[88])/48 + (47*t[89])/16 - t[100]/2) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^3*((-29*t[4])/32 - (7*t[5])/128 + 
       (7*t[7])/64 + (7*t[8])/64 + (7*t[9])/128 - (33*t[10])/64 - 
       (3*t[11])/64 + (35*t[12])/128 - (55*t[13])/96 + (45*t[14])/256 + 
       (29*t[15])/768 - t[36]/16 - t[49]/8 + (75*t[51])/256 + (5*t[53])/16 + 
       (39*t[54])/64 - (23*t[60])/16 + (3*t[61])/8 - (155*t[62])/128 + 
       (131*t[63])/128 + (43*t[64])/32 - (37*t[65])/64 - (137*t[66])/192 + 
       t[69]/8 + t[73]/16 - (5*t[75])/16 - t[79]/16 + (3*t[83])/8 - 
       (39*t[84])/64 - (39*t[85])/64 + (7*t[86])/16 + t[87]/8 + t[88]/16 - 
       (5*t[89])/4 - (3*t[100])/8) + HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]^2*
      ((49*t[4])/32 + t[5]/64 - t[7]/32 - t[8]/32 - t[9]/64 + (91*t[10])/64 + 
       t[11]/32 - (21*t[12])/16 - (11*t[13])/32 + (241*t[14])/192 - 
       (161*t[15])/384 + t[36]/8 + (31*t[49])/64 - (25*t[51])/32 - 
       (43*t[53])/64 - (15*t[54])/16 + (63*t[60])/32 + (59*t[61])/32 - 
       t[62]/2 + (7*t[63])/8 - (279*t[64])/64 - (13*t[65])/144 + 
       (7*t[66])/48 - t[69]/8 - t[73]/8 - (3*t[75])/8 + t[79]/8 + 
       (5*t[83])/16 + (15*t[84])/16 + (15*t[85])/16 - t[86]/8 - 
       (15*t[87])/32 - (15*t[88])/64 + (41*t[89])/64 - (3*t[100])/8) + 
     HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]^2*((-73*t[4])/96 + t[5]/96 - t[7]/48 - 
       t[8]/48 - t[9]/96 - (283*t[10])/192 - t[11]/48 + (95*t[12])/192 + 
       (113*t[13])/288 - (1651*t[14])/1152 + (17*t[15])/32 - (25*t[49])/192 + 
       (81*t[51])/128 + (61*t[53])/192 + (17*t[54])/32 - (109*t[60])/96 - 
       (49*t[61])/32 + (205*t[62])/192 - (173*t[63])/192 + (547*t[64])/192 + 
       (19*t[65])/96 + (283*t[66])/288 + t[69]/8 - t[75]/4 + (19*t[83])/48 - 
       (17*t[84])/32 - (17*t[85])/32 - t[86]/12 - (35*t[87])/96 - 
       (35*t[88])/192 + (11*t[89])/64 + t[100]/8) + 
     HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]^2*(t[1]/24 + t[3]/48 + (85*t[4])/48 + 
       t[5]/96 - t[6]/32 - (3*t[7])/64 - (17*t[8])/192 - t[9]/32 + 
       (45*t[10])/64 + (13*t[11])/96 - (61*t[12])/96 - (35*t[13])/144 + 
       (811*t[14])/1152 - (167*t[15])/576 - t[25]/24 - t[37]/16 + t[38]/24 - 
       (3*t[46])/32 - t[48]/32 + (7*t[49])/12 + t[50]/96 - (125*t[51])/384 - 
       t[52]/96 - (5*t[53])/6 - (25*t[54])/96 + t[59]/96 + (11*t[60])/8 - 
       t[61]/24 - (59*t[62])/96 + (7*t[63])/96 - (73*t[64])/24 - 
       (23*t[65])/16 - (11*t[66])/12 + t[69]/4 - t[70]/8 + t[71]/8 + 
       t[74]/16 - t[75]/4 + t[79]/16 + (17*t[83])/48 + (11*t[84])/48 + 
       (13*t[85])/48 - (5*t[86])/48 - (9*t[87])/8 - (9*t[88])/16 - 
       (5*t[89])/16 + t[100]/4) + HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - v]*
      ((-73*t[4])/48 + t[5]/48 - t[7]/24 - t[8]/24 - t[9]/48 - 
       (283*t[10])/96 - t[11]/24 + (95*t[12])/96 + (113*t[13])/144 - 
       (1651*t[14])/576 + (17*t[15])/16 - (25*t[49])/96 + (81*t[51])/64 + 
       (61*t[53])/96 + (17*t[54])/16 - (109*t[60])/48 - (49*t[61])/16 + 
       (205*t[62])/96 - (173*t[63])/96 + (547*t[64])/96 + (19*t[65])/48 + 
       (283*t[66])/144 + t[69]/4 - t[75]/2 + (19*t[83])/24 - (17*t[84])/16 - 
       (17*t[85])/16 - t[86]/6 - (35*t[87])/48 - (35*t[88])/96 + 
       (11*t[89])/32 + t[100]/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*(t[1]/4 + (11*t[4])/32 + (7*t[5])/64 - (7*t[7])/32 - 
       (7*t[8])/32 - (7*t[9])/64 - (3*t[10])/64 - (7*t[11])/32 - 
       (15*t[12])/32 + (49*t[13])/96 - (205*t[14])/384 + (19*t[15])/128 - 
       t[26]/4 + t[36]/8 + t[38]/4 + (3*t[46])/32 + (11*t[49])/64 - 
       (21*t[51])/128 - (17*t[53])/64 - (7*t[54])/32 - t[59]/8 + 
       (35*t[60])/32 - (41*t[61])/32 + (113*t[62])/64 - (59*t[63])/64 + 
       (3*t[64])/64 + (11*t[65])/32 + (45*t[66])/32 - t[69]/4 - t[73]/8 + 
       (5*t[75])/8 + t[79]/8 - (3*t[83])/4 + (7*t[84])/32 + (7*t[85])/32 - 
       (7*t[86])/8 - t[87]/32 - t[88]/64 + (77*t[89])/64 + (3*t[100])/8) + 
     HPL[{1}, 1 - u]^2*M1[u, v, w]*((-8*t[4])/3 - (7*t[5])/48 + (7*t[7])/24 + 
       (7*t[8])/24 + (43*t[9])/48 - (103*t[10])/12 + (109*t[11])/24 + 
       (317*t[12])/48 + (65*t[13])/18 - (649*t[14])/288 + (59*t[15])/96 - 
       t[36]/2 - (53*t[49])/24 + (129*t[51])/32 + (71*t[53])/24 + 
       (43*t[54])/8 - (5*t[60])/12 - (41*t[61])/4 - (83*t[62])/48 - 
       (389*t[63])/48 + (181*t[64])/12 - (581*t[65])/72 - (1079*t[66])/72 + 
       t[69]/2 + t[72]/2 + t[73]/2 + t[75]/2 + (3*t[76])/2 - t[79]/2 + 
       (7*t[83])/12 - (27*t[84])/8 - (27*t[85])/8 + (7*t[86])/6 - 
       (19*t[87])/12 - (19*t[88])/24 - (57*t[89])/8 + t[100]/2) + 
     HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - u]*((-37*t[4])/24 - (5*t[5])/96 + 
       (5*t[7])/48 + (5*t[8])/48 + (5*t[9])/96 + (5*t[10])/48 - t[11]/48 + 
       (157*t[12])/96 - (7*t[13])/72 + (205*t[14])/576 - (43*t[15])/192 - 
       t[36]/4 - (17*t[49])/24 + (19*t[51])/64 + (17*t[53])/24 + 
       (13*t[54])/16 - (5*t[60])/3 - (5*t[61])/8 - (109*t[62])/96 + 
       (5*t[63])/96 + (145*t[64])/48 - (31*t[65])/144 - (325*t[66])/144 + 
       t[73]/4 + (5*t[75])/4 - t[79]/4 - (17*t[83])/12 - (13*t[84])/16 - 
       (13*t[85])/16 + (5*t[86])/12 + (5*t[87])/3 + (5*t[88])/6 - 
       (13*t[89])/8 + t[100]/2) + HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - w]*
      (t[1]/12 + t[3]/24 + (85*t[4])/24 + t[5]/48 - t[6]/16 - (3*t[7])/32 - 
       (17*t[8])/96 - t[9]/16 + (45*t[10])/32 + (13*t[11])/48 - 
       (61*t[12])/48 - (35*t[13])/72 + (811*t[14])/576 - (167*t[15])/288 - 
       t[25]/12 - t[37]/8 + t[38]/12 - (3*t[46])/16 - t[48]/16 + 
       (7*t[49])/6 + t[50]/48 - (125*t[51])/192 - t[52]/48 - (5*t[53])/3 - 
       (25*t[54])/48 + t[59]/48 + (11*t[60])/4 - t[61]/12 - (59*t[62])/48 + 
       (7*t[63])/48 - (73*t[64])/12 - (23*t[65])/8 - (11*t[66])/6 + t[69]/2 - 
       t[70]/4 + t[71]/4 + t[74]/8 - t[75]/2 + t[79]/8 + (17*t[83])/24 + 
       (11*t[84])/24 + (13*t[85])/24 - (5*t[86])/24 - (9*t[87])/4 - 
       (9*t[88])/8 - (5*t[89])/8 + t[100]/2) + HPL[{1}, 1 - v]^5*
      HPL[{0, 1}, 1 - v]*(-t[1]/6 + t[3]/24 - (95*t[4])/24 + (5*t[5])/24 + 
       t[6]/32 - (3*t[7])/16 - (13*t[8])/48 - t[9]/4 - (3*t[10])/16 - 
       (121*t[11])/96 + (49*t[12])/24 - (10*t[13])/9 - (257*t[14])/144 + 
       (125*t[15])/144 - t[25]/12 + t[26]/4 + t[37]/4 - t[38]/6 - 
       (3*t[46])/8 + t[48]/32 - t[49]/48 + (11*t[50])/96 + (61*t[51])/48 - 
       (11*t[52])/96 + (79*t[53])/48 + (67*t[54])/96 + (11*t[59])/30 - 
       (55*t[60])/16 - (23*t[61])/24 + (85*t[62])/32 + (137*t[63])/96 + 
       (53*t[64])/12 + (133*t[65])/48 + (275*t[66])/48 + t[73]/4 - t[74]/4 + 
       (5*t[75])/4 - t[79]/4 - t[81]/8 + t[82]/8 - (5*t[83])/3 - 
       (41*t[84])/48 - (23*t[85])/24 - (7*t[86])/12 + (25*t[87])/16 + 
       (25*t[88])/32 - (11*t[89])/32 + t[100]/2) + 
     HPL[{1}, 1 - u]^2*M1[w, v, u]*((95*t[4])/24 + t[5]/24 - t[7]/12 - 
       t[8]/12 - t[9]/24 + (149*t[10])/48 + (5*t[11])/12 - (109*t[12])/48 + 
       (65*t[13])/72 + (491*t[14])/288 - (7*t[15])/8 + (35*t[49])/48 - 
       (61*t[51])/32 - (71*t[53])/48 - (23*t[54])/8 + (143*t[60])/24 + 
       (21*t[61])/8 + (55*t[62])/48 - (71*t[63])/48 - (407*t[64])/48 + 
       (109*t[65])/72 + (91*t[66])/72 - t[69]/2 - (11*t[83])/12 + 
       (23*t[84])/8 + (23*t[85])/8 - t[86]/3 - (11*t[87])/24 - 
       (11*t[88])/48 + (59*t[89])/16 + t[100]/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[w, v, u]*((-4*t[1])/3 - 
       (53*t[4])/12 - (5*t[5])/24 - t[6]/8 + t[7]/6 + t[8]/6 + (5*t[9])/24 - 
       t[10]/3 - (43*t[11])/24 + (97*t[12])/24 - (71*t[13])/36 - 
       (53*t[14])/48 + (11*t[15])/16 + (4*t[26])/3 + t[36]/3 - (4*t[38])/3 - 
       t[48]/8 - (13*t[49])/12 - t[50]/8 + (15*t[51])/16 + t[52]/8 + 
       (19*t[53])/12 + (49*t[54])/24 + (2*t[59])/3 - (101*t[60])/12 + 
       (2*t[61])/3 - t[62]/3 + (11*t[63])/3 + (9*t[64])/2 + (125*t[65])/36 + 
       (11*t[66])/4 + t[69] - t[74]/3 + t[81]/6 - t[82]/6 + (11*t[83])/6 - 
       (23*t[84])/12 - (5*t[85])/3 + (2*t[86])/3 + (7*t[87])/2 + 
       (29*t[88])/12 - (37*t[89])/24 + (2*t[95])/3 + t[100]/2) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-47*t[1])/72 + (41*t[2])/96 + (7*t[3])/144 - (8645*t[4])/576 + 
       (683*t[5])/576 + (349*t[6])/192 + (193*t[7])/96 + (1559*t[8])/288 - 
       (187*t[9])/192 - (1547*t[10])/384 - (2899*t[11])/576 + 
       (6473*t[12])/1152 - (4549*t[13])/1728 - (11437*t[14])/6912 + 
       (1649*t[15])/864 + t[25]/9 + (2*t[26])/3 - (5*t[27])/12 - 
       (3*t[28])/8 - t[30]/4 - (7*t[31])/12 + t[34]/24 + t[35]/4 + 
       (3*t[36])/4 - t[37]/4 - (7*t[38])/9 - t[39]/2 + t[40]/12 - t[41]/48 + 
       t[42]/48 - t[43]/8 + t[44]/8 - (5*t[45])/24 + (19*t[46])/24 + 
       (5*t[47])/12 + (229*t[48])/192 - (4519*t[49])/1152 + (167*t[50])/576 + 
       (2009*t[51])/2304 + (49*t[52])/576 + (5587*t[53])/1152 + 
       (1529*t[54])/288 + t[58]/24 - (11*t[59])/16 - (3203*t[60])/192 + 
       (2821*t[61])/576 + (71*t[62])/384 + (11299*t[63])/1152 + 
       (18269*t[64])/1152 + (5167*t[65])/576 + (1979*t[66])/192 - 
       (2*t[69])/3 + (5*t[70])/12 - (5*t[71])/12 + (3*t[72])/4 + 
       (3*t[73])/8 - (7*t[74])/12 - (23*t[75])/24 - (35*t[76])/24 - 
       (5*t[77])/12 + (17*t[78])/24 + (7*t[79])/24 - (23*t[81])/12 + 
       (31*t[82])/24 + (7*t[83])/18 - (1687*t[84])/576 - (2987*t[85])/576 + 
       (389*t[86])/72 + (1883*t[87])/192 + (665*t[88])/128 - 
       (299*t[89])/128 + t[95]/4 - t[96]/3 - t[97]/4 - (17*t[98])/2 + 
       8*t[99] + (7*t[100])/12) + HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - w]*
      ((-19*t[1])/72 + t[3]/18 - (881*t[4])/72 + (89*t[5])/288 + 
       (11*t[6])/192 + (11*t[7])/32 + (67*t[8])/288 - (35*t[9])/96 - 
       (39*t[10])/8 - (1631*t[11])/576 + (923*t[12])/144 + (571*t[13])/864 - 
       (10637*t[14])/1728 + (4079*t[15])/1728 - t[25]/9 + (3*t[26])/8 + 
       (31*t[37])/24 - (19*t[38])/72 - (47*t[46])/48 + (11*t[48])/192 - 
       (28*t[49])/9 + (97*t[50])/576 + (2185*t[51])/576 - (97*t[52])/576 + 
       (811*t[53])/144 + (893*t[54])/576 + (13*t[59])/16 - (1099*t[60])/96 - 
       (421*t[61])/144 + (387*t[62])/64 + (109*t[63])/576 + 
       (6055*t[64])/288 + (3523*t[65])/288 + (3445*t[66])/288 + t[69]/6 - 
       t[70]/12 + t[71]/12 + (3*t[73])/8 - (31*t[74])/24 + (47*t[75])/24 - 
       (31*t[79])/24 - (3*t[81])/16 + (3*t[82])/16 - (23*t[83])/9 - 
       (511*t[84])/288 - (35*t[85])/18 + (115*t[86])/72 + (247*t[87])/32 + 
       (247*t[88])/64 + (103*t[89])/64 + (2*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w]*
      ((29*t[1])/24 + (7*t[3])/12 - (241*t[4])/48 + (23*t[5])/96 - 
       (9*t[6])/8 + (47*t[7])/48 + (13*t[8])/16 - (79*t[9])/96 - 
       (361*t[10])/192 - (55*t[11])/32 - (49*t[12])/64 - (319*t[13])/288 - 
       (1757*t[14])/1152 + t[15]/36 - t[25]/6 - (25*t[26])/24 - t[28]/2 - 
       t[31]/2 + t[35]/2 + (7*t[36])/12 + t[37]/2 + (29*t[38])/24 - t[39]/2 + 
       t[40]/2 - t[45]/2 - (19*t[46])/16 + t[47] - (3*t[48])/8 + 
       (75*t[49])/64 + (7*t[50])/24 + (661*t[51])/384 - (7*t[52])/24 + 
       (17*t[53])/64 + (3*t[54])/2 - (7*t[59])/16 - (541*t[60])/96 - 
       (133*t[61])/32 - (139*t[62])/64 + (769*t[63])/192 + (2407*t[64])/192 + 
       (26*t[65])/9 + (27*t[66])/8 - t[69]/2 + t[73]/4 - (4*t[74])/3 + 
       (5*t[75])/4 - t[77]/2 - t[78]/2 - (3*t[79])/4 + t[80] - t[81]/3 + 
       t[82]/3 - t[83] - (19*t[84])/8 - (41*t[85])/24 + (29*t[86])/4 + 
       (47*t[87])/16 + (103*t[88])/96 - (647*t[89])/192 + (2*t[95])/3 + 
       (3*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u]*
      ((22*t[1])/9 - (47*t[3])/72 + (2741*t[4])/576 - (77*t[5])/144 - 
       (115*t[6])/192 - (31*t[7])/48 - (49*t[8])/144 + (19*t[9])/16 - 
       (4715*t[10])/384 + (5551*t[11])/576 - (2969*t[12])/1152 + 
       (16205*t[13])/1728 - (71417*t[14])/6912 - (1685*t[15])/3456 + 
       (11*t[25])/36 - (11*t[26])/4 + t[28]/2 + t[31]/2 - t[35]/2 - 
       (5*t[36])/12 + t[37]/16 + (22*t[38])/9 + t[39]/2 - t[40]/2 + t[45]/2 + 
       (113*t[46])/48 - t[47] + (29*t[48])/192 - (4043*t[49])/1152 - 
       (377*t[50])/576 + (3949*t[51])/2304 + (377*t[52])/576 + 
       (2639*t[53])/1152 - (625*t[54])/144 - (163*t[59])/96 + 
       (2977*t[60])/192 - (6841*t[61])/576 + (1153*t[62])/128 - 
       (23041*t[63])/1152 + (2869*t[64])/1152 - (1801*t[65])/576 - 
       (7603*t[66])/576 + t[69]/3 + t[70]/12 - t[71]/12 + t[73]/24 + 
       t[74]/6 + (5*t[75])/8 - (3*t[76])/4 + t[77]/2 + t[78]/2 - t[79]/4 - 
       t[80] + (181*t[81])/48 - (37*t[82])/48 - (35*t[83])/36 + 
       (1525*t[84])/576 + (1439*t[85])/576 - (223*t[86])/36 + 
       (95*t[87])/192 + (5*t[88])/128 + (3643*t[89])/384 + (2*t[95])/3 + 
       (11*t[100])/12) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-109*t[4])/12 - (7*t[5])/24 + (7*t[7])/12 + (7*t[8])/12 + 
       (7*t[9])/24 - (163*t[10])/24 + t[11]/12 + (85*t[12])/12 - 
       (43*t[13])/36 - (28*t[14])/9 + (65*t[15])/48 - t[36] - (55*t[49])/24 + 
       (33*t[51])/8 + (91*t[53])/24 + (13*t[54])/2 - (151*t[60])/12 - 
       (27*t[61])/4 - (55*t[62])/12 + (11*t[63])/12 + (517*t[64])/24 - 
       (9*t[65])/2 - (121*t[66])/18 + t[69] + t[73] + t[75] - t[79] - 
       (5*t[83])/6 - (13*t[84])/2 - (13*t[85])/2 + (7*t[86])/3 + 
       (19*t[87])/12 + (19*t[88])/24 - (75*t[89])/8 + t[100]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((23*t[4])/12 + t[5]/12 - t[7]/6 - t[8]/6 - t[9]/12 + (53*t[10])/24 + 
       t[11]/3 + (5*t[12])/24 - (31*t[13])/36 + (163*t[14])/72 - 
       (3*t[15])/4 + (17*t[49])/24 - t[51]/2 - (17*t[53])/24 + t[54]/4 + 
       (29*t[60])/12 - (25*t[61])/24 - (7*t[62])/3 + (5*t[63])/3 - 
       (29*t[64])/6 - (469*t[65])/108 - (161*t[66])/36 + t[75] - 
       (5*t[83])/6 - t[84]/4 - t[85]/4 - (2*t[86])/3 - (23*t[87])/12 - 
       (23*t[88])/24 - (21*t[89])/8 + t[100]) + HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(t[1]/6 + t[3]/12 + (13*t[4])/12 + 
       t[5]/24 - t[6]/8 - t[7]/4 - (5*t[8])/12 - t[9]/8 + (17*t[10])/8 - 
       (17*t[11])/24 - (7*t[12])/6 - (103*t[13])/72 + (65*t[14])/144 - 
       (5*t[15])/144 - t[25]/6 + t[38]/6 - t[46]/2 - t[48]/8 + 
       (47*t[49])/24 + t[50]/24 + (11*t[51])/48 - t[52]/24 - (23*t[53])/24 + 
       (5*t[54])/24 + t[60] - (11*t[61])/12 + t[62]/2 + (5*t[63])/3 - 
       (11*t[64])/3 - (11*t[65])/6 + (7*t[66])/6 + t[75] - (5*t[83])/6 - 
       t[84]/3 - t[85]/6 - (2*t[86])/3 - 2*t[87] - t[88] - (3*t[89])/2 + 
       t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-121*t[4])/12 - (7*t[5])/24 + (7*t[7])/12 + (7*t[8])/12 + 
       (7*t[9])/24 - (175*t[10])/24 - (35*t[11])/12 + (25*t[12])/12 + 
       (257*t[13])/36 - (725*t[14])/72 + (35*t[15])/16 - t[36] - 
       (127*t[49])/24 + (5*t[51])/4 + (91*t[53])/24 - (3*t[54])/2 - 
       (127*t[60])/12 + (7*t[61])/4 + (97*t[62])/6 - (83*t[63])/6 + 
       (655*t[64])/24 + (449*t[65])/18 + (359*t[66])/18 - t[69] + t[73] + 
       3*t[75] - t[79] - (29*t[83])/6 + (3*t[84])/2 + (3*t[85])/2 + 
       (7*t[86])/3 + (223*t[87])/12 + (223*t[88])/24 + (121*t[89])/8 + 
       t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      (2*t[1] + (2*t[3])/3 - (5*t[4])/4 + (5*t[5])/4 - (3*t[6])/8 - t[7]/12 - 
       (17*t[8])/12 - (23*t[9])/12 + (35*t[10])/3 - (119*t[11])/24 - 
       (43*t[12])/6 - (83*t[13])/12 + (563*t[14])/72 - (41*t[15])/72 - 
       (4*t[25])/3 - (2*t[26])/3 + (4*t[36])/3 + t[37] + 2*t[38] - 
       (11*t[46])/2 - (3*t[48])/8 + (25*t[49])/3 + (23*t[50])/24 + 
       (89*t[51])/24 - (23*t[52])/24 - (17*t[53])/6 - (19*t[54])/24 + 
       (2*t[59])/3 - (29*t[60])/12 + (22*t[61])/3 - (131*t[62])/24 + 
       (141*t[63])/8 - (5*t[64])/6 - (89*t[65])/18 + (11*t[66])/2 - 2*t[69] - 
       t[73] - t[74]/3 + 3*t[75] + t[79] - (5*t[81])/6 + (5*t[82])/6 - 
       (7*t[83])/3 - (5*t[84])/6 - (3*t[85])/4 + (7*t[86])/3 - 4*t[87] - 
       (11*t[88])/6 - (253*t[89])/24 - (4*t[95])/3 + t[100]) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - v]*((971*t[4])/144 - 
       (29*t[5])/576 + (29*t[7])/288 + (29*t[8])/288 + (29*t[9])/576 + 
       (3017*t[10])/288 + (323*t[11])/288 - (1103*t[12])/576 - 
       (1867*t[13])/432 + (40915*t[14])/3456 - (523*t[15])/128 - 
       (3*t[36])/8 + (73*t[49])/36 - (1459*t[51])/384 - (191*t[53])/72 - 
       (49*t[54])/32 + (649*t[60])/72 + (157*t[61])/24 - (7051*t[62])/576 + 
       (4979*t[63])/576 - (395*t[64])/18 - (8707*t[65])/864 - 
       (12829*t[66])/864 - (5*t[69])/12 + (3*t[73])/8 + (47*t[75])/24 - 
       (3*t[79])/8 - (53*t[83])/18 + (49*t[84])/32 + (49*t[85])/32 + 
       (29*t[86])/72 - (49*t[87])/18 - (49*t[88])/36 - (367*t[89])/48 + 
       (13*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2*
      ((41*t[1])/48 + (17*t[3])/48 + (329*t[4])/96 - (7*t[5])/192 - t[6]/2 + 
       (23*t[7])/96 + t[8]/32 - (61*t[9])/192 + (5699*t[10])/384 - 
       (543*t[11])/64 - (1137*t[12])/128 - (2965*t[13])/576 + 
       (17575*t[14])/2304 - (325*t[15])/576 - t[25]/12 - (37*t[26])/48 - 
       t[27]/2 - t[28]/4 - t[31]/4 + t[35]/4 + (7*t[36])/24 + (41*t[38])/48 - 
       t[39]/4 + t[40]/4 - t[45]/4 - (127*t[46])/32 + t[47]/2 - (3*t[48])/8 + 
       (1175*t[49])/128 + t[50]/12 - (719*t[51])/768 - t[52]/12 - 
       (1083*t[53])/128 + 2*t[54] + (17*t[59])/96 - (817*t[60])/192 + 
       (399*t[61])/64 - (615*t[62])/128 + (7909*t[63])/384 - 
       (4037*t[64])/384 - (49*t[65])/72 + (53*t[66])/48 - t[69]/4 - t[73]/8 - 
       (5*t[74])/12 - t[75]/8 + (3*t[76])/2 - t[77]/4 - t[78]/4 - t[79]/8 + 
       t[80]/2 - t[81]/24 + t[82]/24 + (7*t[83])/4 - (31*t[84])/16 - 
       (43*t[85])/24 + (23*t[86])/8 - (139*t[87])/32 - (455*t[88])/192 - 
       (3227*t[89])/384 + t[95]/3 + (9*t[100])/8) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^4*(-t[1]/3 - (13*t[3])/48 - 
       (7*t[4])/6 - (11*t[5])/96 + (55*t[6])/128 - (55*t[7])/96 - 
       (17*t[8])/32 + (37*t[9])/96 - (109*t[10])/384 - (119*t[11])/128 + 
       (265*t[12])/128 + (59*t[13])/96 - (3347*t[14])/2304 + 
       (895*t[15])/1152 + t[25]/24 + (7*t[26])/24 + t[28]/4 + t[31]/4 - 
       t[35]/4 - (5*t[36])/24 - t[38]/3 + t[39]/4 - t[40]/4 + t[45]/4 + 
       (15*t[46])/32 - t[47]/2 + (7*t[48])/128 - (143*t[49])/128 - 
       (91*t[50])/384 + (247*t[51])/768 + (91*t[52])/384 + (135*t[53])/128 + 
       (83*t[54])/128 + (23*t[59])/96 - (29*t[60])/24 - (79*t[61])/64 + 
       (211*t[62])/48 - (85*t[63])/48 + (73*t[64])/384 + (1321*t[65])/576 + 
       (289*t[66])/192 + t[69]/2 - t[70]/8 + t[71]/8 + (3*t[73])/16 + 
       t[74]/12 + (13*t[75])/16 + t[77]/4 + t[78]/4 - t[79]/8 - t[80]/2 + 
       (29*t[81])/96 - (29*t[82])/96 - (9*t[83])/8 - (9*t[84])/64 - 
       (11*t[85])/48 - (31*t[86])/8 + (57*t[87])/64 + (143*t[88])/384 + 
       (377*t[89])/192 + t[95]/3 + (9*t[100])/8) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-11*t[1])/16 + (7*t[2])/16 - (15*t[3])/16 - (2003*t[4])/384 - 
       (157*t[5])/96 - (113*t[6])/64 + (19*t[7])/48 + t[8]/12 + 
       (119*t[9])/48 - (1373*t[10])/768 - (953*t[11])/192 + 
       (1003*t[12])/768 - (3005*t[13])/1152 + (9841*t[14])/4608 + 
       (445*t[15])/768 - t[25]/4 + (5*t[26])/8 - t[27]/4 - t[29]/4 - 
       t[30]/8 + (3*t[31])/8 - t[32]/4 + t[33]/4 + t[34]/8 + t[35]/2 + 
       (3*t[36])/8 + t[37]/4 - t[38]/2 - t[39]/8 + t[40]/8 - t[41]/16 + 
       t[42]/16 - t[43]/16 + t[44]/2 + (3*t[46])/16 - t[47]/4 + 
       (11*t[48])/64 + (469*t[49])/768 - (21*t[50])/64 - (3*t[51])/512 + 
       (29*t[52])/64 + (707*t[53])/768 + (561*t[54])/128 - t[58]/8 + 
       t[59]/8 - (2447*t[60])/384 - (459*t[61])/128 + (761*t[62])/768 + 
       (6215*t[63])/768 - (3469*t[64])/768 - (541*t[65])/1152 - 
       (5539*t[66])/1152 - t[69]/4 - t[70]/4 + t[71]/4 - (3*t[72])/4 - 
       t[73]/8 - (3*t[74])/8 + (11*t[75])/8 + (5*t[76])/8 - t[77]/4 + 
       t[78]/8 - (5*t[79])/2 + (3*t[80])/4 + (3*t[81])/4 - t[82]/4 - 
       (23*t[83])/24 - (283*t[84])/128 - (43*t[85])/128 + (13*t[86])/12 - 
       (931*t[87])/384 - (2755*t[88])/768 - (895*t[89])/256 + t[95] + 
       t[96]/2 - t[97]/4 + 6*t[98] - 4*t[99] + (9*t[100])/8) + 
     HPL[{1}, 1 - u]^2*M1[w, u, v]*((-27*t[4])/8 - t[5]/16 + t[7]/8 + 
       t[8]/8 + t[9]/16 - (61*t[10])/16 - t[11]/8 + (31*t[12])/8 - 
       (5*t[13])/24 - (13*t[14])/6 + (85*t[15])/96 - t[36]/2 - (9*t[49])/16 + 
       (33*t[51])/16 + (21*t[53])/16 + (13*t[54])/4 - (33*t[60])/8 - 
       (47*t[61])/8 - (5*t[62])/8 - (3*t[63])/8 + (163*t[64])/16 - 
       (43*t[65])/12 - (9*t[66])/4 + t[69]/2 + t[73]/2 + t[75]/2 - t[79]/2 - 
       (3*t[83])/4 - (13*t[84])/4 - (13*t[85])/4 + t[86]/2 - (11*t[87])/8 - 
       (11*t[88])/16 - (63*t[89])/16 + (3*t[100])/2) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]^2*(t[3]/8 - (35*t[4])/8 + t[5]/4 - 
       (3*t[6])/32 - (9*t[7])/16 - (13*t[8])/16 - (3*t[9])/8 + (9*t[10])/8 - 
       (63*t[11])/32 + (35*t[12])/16 - (9*t[13])/4 - (193*t[14])/96 + 
       (53*t[15])/48 - t[25]/4 + t[26]/4 + t[37]/4 - (7*t[46])/8 - 
       (3*t[48])/32 + (9*t[49])/8 + (5*t[50])/32 + (61*t[51])/32 - 
       (5*t[52])/32 + (3*t[53])/2 + (33*t[54])/32 + (11*t[59])/24 - 
       (67*t[60])/16 - 2*t[61] + (407*t[62])/96 + (83*t[63])/32 + 
       (57*t[64])/16 + (127*t[65])/48 + (127*t[66])/16 + t[69]/2 - t[70]/4 + 
       t[71]/4 + t[73]/4 - t[74]/4 + (9*t[75])/4 - t[79]/4 - t[81]/8 + 
       t[82]/8 - (19*t[83])/8 - (21*t[84])/16 - (5*t[85])/4 - (7*t[86])/4 + 
       (17*t[87])/16 + (17*t[88])/32 - (43*t[89])/32 + (3*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*
      ((-5*t[1])/24 - (5*t[4])/48 - (13*t[5])/192 - t[6]/32 + (7*t[7])/96 + 
       (7*t[8])/96 + (13*t[9])/192 - (169*t[10])/192 + (35*t[11])/96 + 
       (71*t[12])/48 + (131*t[13])/288 - (99*t[14])/128 - t[15]/384 + 
       (5*t[26])/24 - (7*t[36])/24 - (5*t[38])/24 + t[46]/32 - t[48]/32 - 
       (103*t[49])/192 - t[50]/32 + (43*t[51])/128 + t[52]/32 + 
       (121*t[53])/192 - (5*t[54])/96 + (5*t[59])/48 + (17*t[60])/96 - 
       (137*t[61])/96 + (125*t[62])/192 - (427*t[63])/192 + (51*t[64])/64 + 
       (149*t[65])/144 + (5*t[66])/48 + t[69]/4 + (3*t[73])/8 - t[74]/12 + 
       (5*t[75])/8 - (3*t[79])/8 + t[81]/24 - t[82]/24 - (11*t[83])/12 + 
       t[84]/12 + (7*t[85])/48 + (7*t[86])/24 + (13*t[87])/16 + 
       (37*t[88])/96 + (79*t[89])/192 + t[95]/6 + (13*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      (t[1]/2 + (11*t[4])/16 + (7*t[5])/32 - (7*t[7])/16 - (7*t[8])/16 - 
       (7*t[9])/32 - (3*t[10])/32 - (7*t[11])/16 - (15*t[12])/16 + 
       (49*t[13])/48 - (205*t[14])/192 + (19*t[15])/64 - t[26]/2 + t[36]/4 + 
       t[38]/2 + (3*t[46])/16 + (11*t[49])/32 - (21*t[51])/64 - 
       (17*t[53])/32 - (7*t[54])/16 - t[59]/4 + (35*t[60])/16 - 
       (41*t[61])/16 + (113*t[62])/32 - (59*t[63])/32 + (3*t[64])/32 + 
       (11*t[65])/16 + (45*t[66])/16 - t[69]/2 - t[73]/4 + (5*t[75])/4 + 
       t[79]/4 - (3*t[83])/2 + (7*t[84])/16 + (7*t[85])/16 - (7*t[86])/4 - 
       t[87]/16 - t[88]/32 + (77*t[89])/32 + t[99] + (7*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      (t[1]/3 - t[3]/3 + (257*t[4])/48 - (23*t[5])/48 + (17*t[6])/32 - 
       (23*t[7])/16 - (85*t[8])/48 + (13*t[9])/16 + (525*t[10])/32 - 
       (817*t[11])/96 - (695*t[12])/96 - (73*t[13])/12 + (4399*t[14])/576 + 
       (7*t[15])/72 - t[25]/12 - t[26]/4 - t[27]/4 + t[28]/2 + t[31]/2 - 
       t[35]/2 - t[36]/2 - t[37]/4 + t[38]/3 + t[39]/2 - t[40]/2 + t[45]/2 - 
       (25*t[46])/8 - t[47] - (7*t[48])/32 + (895*t[49])/96 - (37*t[50])/96 - 
       (191*t[51])/192 + (37*t[52])/96 - (811*t[53])/96 + (211*t[54])/96 + 
       (5*t[59])/24 - 2*t[60] + (95*t[61])/12 + (13*t[62])/24 + 
       (509*t[63])/24 - (515*t[64])/24 - (209*t[65])/48 - (77*t[66])/48 + 
       t[69] - t[70]/2 + t[71]/2 - t[73]/4 + (3*t[74])/4 + t[75]/4 + 
       (3*t[76])/4 + t[77]/2 + t[78]/2 + t[79]/4 - t[80] + (5*t[81])/8 - 
       (5*t[82])/8 + (5*t[83])/6 - (71*t[84])/48 - (29*t[85])/24 - 
       (97*t[86])/12 - (75*t[87])/8 - (75*t[88])/16 - (107*t[89])/16 + 
       2*t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-37*t[4])/6 - (5*t[5])/24 + (5*t[7])/12 + (5*t[8])/12 + (5*t[9])/24 + 
       (5*t[10])/12 - t[11]/12 + (157*t[12])/24 - (7*t[13])/18 + 
       (301*t[14])/144 - (43*t[15])/48 - t[36] - (17*t[49])/6 + 
       (19*t[51])/16 + (17*t[53])/6 + (13*t[54])/4 - (20*t[60])/3 - 
       (5*t[61])/2 - (109*t[62])/24 + (5*t[63])/24 + (145*t[64])/12 - 
       (31*t[65])/36 - (325*t[66])/36 + t[73] + 5*t[75] - t[79] - 
       (17*t[83])/3 - (13*t[84])/4 - (13*t[85])/4 + (5*t[86])/3 + 
       (20*t[87])/3 + (10*t[88])/3 - (13*t[89])/2 + 2*t[100]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (t[3]/2 + (91*t[4])/48 + (61*t[5])/96 - (7*t[6])/8 + (11*t[7])/48 + 
       (11*t[8])/48 - (73*t[9])/96 - (653*t[10])/96 + (161*t[11])/48 + 
       (73*t[12])/24 + (37*t[13])/16 - (2141*t[14])/576 + (157*t[15])/192 - 
       t[28]/2 - t[31]/2 + t[35]/2 + (3*t[36])/4 - t[39]/2 + t[40]/2 - 
       t[45]/2 - t[46]/2 + t[47] - t[48]/8 + (115*t[49])/96 + (3*t[50])/8 + 
       (167*t[51])/64 - (3*t[52])/8 - (43*t[53])/96 + (41*t[54])/16 + 
       (127*t[60])/48 - (215*t[61])/16 - (115*t[62])/96 - (397*t[63])/96 + 
       (827*t[64])/96 - (1175*t[65])/144 - (709*t[66])/144 + t[69]/2 + 
       t[72]/4 - t[73]/4 - t[74]/2 - (3*t[75])/4 + (3*t[76])/4 - t[77]/2 - 
       t[78]/2 + t[79]/4 + t[80] - t[81]/2 + t[82]/2 + (23*t[83])/6 - 
       (39*t[84])/16 - (35*t[85])/16 + (47*t[86])/12 - (295*t[87])/48 - 
       (283*t[88])/96 - (139*t[89])/32 + 2*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - v]*((-2*t[1])/3 + t[3]/6 - 
       (95*t[4])/6 + (5*t[5])/6 + t[6]/8 - (3*t[7])/4 - (13*t[8])/12 - t[9] - 
       (3*t[10])/4 - (121*t[11])/24 + (49*t[12])/6 - (40*t[13])/9 - 
       (257*t[14])/36 + (125*t[15])/36 - t[25]/3 + t[26] + t[37] - 
       (2*t[38])/3 - (3*t[46])/2 + t[48]/8 - t[49]/12 + (11*t[50])/24 + 
       (61*t[51])/12 - (11*t[52])/24 + (79*t[53])/12 + (67*t[54])/24 + 
       (3*t[59])/2 - (55*t[60])/4 - (23*t[61])/6 + (287*t[62])/24 + 
       (233*t[63])/24 + (53*t[64])/3 + (133*t[65])/12 + (275*t[66])/12 + 
       t[73] - t[74] + 5*t[75] - t[79] - t[81]/2 + t[82]/2 - (20*t[83])/3 - 
       (41*t[84])/12 - (23*t[85])/6 - (7*t[86])/3 + (25*t[87])/4 + 
       (25*t[88])/8 - (11*t[89])/8 + 2*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*(t[1]/12 + t[3]/6 - (17*t[4])/24 + 
       (13*t[5])/48 - (5*t[6])/32 - (5*t[7])/16 - (31*t[8])/48 - 
       (7*t[9])/16 + (21*t[10])/16 - (151*t[11])/96 - (7*t[12])/48 - 
       (223*t[13])/144 - (61*t[14])/72 + (145*t[15])/288 - t[25]/3 + 
       t[26]/4 + t[37]/4 + t[38]/12 - (7*t[46])/8 - (5*t[48])/32 + 
       (89*t[49])/48 + (17*t[50])/96 + (23*t[51])/24 - (17*t[52])/96 - 
       (11*t[53])/48 + (37*t[54])/96 + t[59]/8 - (13*t[60])/16 - 
       (7*t[61])/3 + (71*t[62])/32 + (107*t[63])/96 - (31*t[64])/48 + 
       (11*t[65])/48 + (245*t[66])/48 + t[73]/4 - t[74]/4 + (5*t[75])/4 - 
       t[79]/4 - t[81]/8 + t[82]/8 - (5*t[83])/3 - (35*t[84])/48 - 
       (7*t[85])/12 - (7*t[86])/12 - (21*t[87])/16 - (21*t[88])/32 - 
       (37*t[89])/32 + 2*t[100]) + HPL[{1}, 1 - v]^2*M1[u, v, w]*
      (-t[1]/6 + t[3]/6 + (2*t[4])/3 + (11*t[5])/24 - (5*t[6])/16 + t[7]/8 - 
       (5*t[8])/24 - (5*t[9])/8 + (11*t[10])/8 - (83*t[11])/48 + 
       (19*t[12])/24 - (137*t[13])/72 - (19*t[14])/18 - t[15]/144 - t[25]/3 + 
       t[26]/2 + t[37]/2 - t[38]/6 - (7*t[46])/4 - t[48]/16 + (49*t[49])/24 + 
       (13*t[50])/48 + (4*t[51])/3 - (13*t[52])/48 - (19*t[53])/24 - 
       (55*t[54])/48 + (7*t[59])/12 - (7*t[60])/8 - (4*t[61])/3 + 
       (9*t[62])/16 + (133*t[63])/48 - (107*t[64])/24 + (9*t[65])/8 + 
       (133*t[66])/24 + t[69] - t[70]/2 + t[71]/2 + t[73]/2 - t[74]/2 + 
       t[75]/2 - t[79]/2 - t[81]/4 + t[82]/4 + t[83]/12 + (5*t[84])/24 + 
       (2*t[85])/3 + (7*t[86])/6 - (11*t[87])/8 - (11*t[88])/16 - 
       (15*t[89])/16 + 2*t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-2*t[1])/3 + t[3]/6 - (43*t[4])/12 + (5*t[5])/6 + t[6]/8 - t[7]/4 - 
       (7*t[8])/12 - t[9] + (3*t[10])/8 - (73*t[11])/24 + (127*t[12])/24 - 
       (17*t[13])/4 - (383*t[14])/144 + (85*t[15])/72 - t[25]/3 + t[26] + 
       t[37] - (2*t[38])/3 - (3*t[46])/2 + t[48]/8 + (19*t[49])/24 + 
       (11*t[50])/24 + (103*t[51])/48 - (11*t[52])/24 + (41*t[53])/24 + 
       t[54]/24 + (5*t[59])/6 - (9*t[60])/2 - (37*t[61])/12 + (17*t[62])/4 + 
       (37*t[63])/12 - (71*t[64])/24 + (13*t[65])/3 + (143*t[66])/9 + 
       2*t[69] - t[70] + (5*t[71])/6 + t[73] - t[74] + t[75] - t[79] - 
       t[81]/2 + t[82]/2 - (13*t[83])/6 - (2*t[84])/3 - (13*t[85])/12 - 
       t[86]/3 + t[87] + t[88]/2 - t[89]/2 + 2*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((11*t[4])/24 + (7*t[5])/96 - (7*t[7])/48 - (7*t[8])/48 - (7*t[9])/96 - 
       (19*t[10])/48 + (11*t[11])/48 + (169*t[12])/96 + (65*t[13])/72 - 
       (479*t[14])/576 + (25*t[15])/192 - t[36]/4 + t[49]/24 + 
       (23*t[51])/64 - t[53]/24 + (9*t[54])/16 + (4*t[60])/3 - (33*t[61])/8 + 
       (119*t[62])/96 - (199*t[63])/96 + (85*t[64])/48 - (259*t[65])/144 - 
       (193*t[66])/144 + t[73]/4 + (5*t[75])/4 - t[79]/4 - (5*t[83])/3 - 
       (9*t[84])/16 - (9*t[85])/16 - (7*t[86])/12 - (4*t[87])/3 - 
       (2*t[88])/3 - (3*t[89])/8 + 2*t[100]) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((10*t[4])/3 + t[5]/6 - t[7]/3 - 
       t[8]/3 - t[9]/6 - t[10]/3 + (5*t[11])/3 + (7*t[12])/6 + (22*t[13])/9 - 
       (83*t[14])/36 + (7*t[15])/12 + (2*t[49])/3 + t[51]/4 - (2*t[53])/3 - 
       t[54] + (16*t[60])/3 - 6*t[61] + (17*t[62])/6 - (31*t[63])/6 - 
       (5*t[64])/3 - (23*t[65])/9 - (7*t[66])/9 - (2*t[83])/3 + t[84] + 
       t[85] - (4*t[86])/3 - (16*t[87])/3 - (8*t[88])/3 + 2*t[89] + 
       2*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Nt[u, v, w]*
      (t[1]/6 - (67*t[4])/24 + t[5]/24 - t[6]/8 - t[7]/3 - t[8]/3 - t[9]/24 - 
       (11*t[10])/24 - (17*t[11])/12 + (17*t[12])/12 - (5*t[13])/36 - 
       (21*t[14])/16 + (19*t[15])/48 - t[26]/6 + t[36]/3 + t[38]/6 + 
       t[46]/4 - t[48]/8 - (17*t[49])/24 - t[50]/8 + (9*t[51])/16 + t[52]/8 + 
       (23*t[53])/24 + (7*t[54])/6 - t[59]/12 - (35*t[60])/12 - 
       (17*t[61])/6 + (35*t[62])/12 + (5*t[63])/12 + (31*t[64])/8 + 
       (187*t[65])/72 + (55*t[66])/24 - t[74]/3 + 2*t[75] + t[81]/6 - 
       t[82]/6 - (5*t[83])/3 - (25*t[84])/24 - (19*t[85])/24 - (4*t[86])/3 + 
       (27*t[87])/8 + (65*t[88])/48 + (11*t[89])/24 + (2*t[95])/3 + 
       2*t[100]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      (-t[1]/2 + (3*t[3])/16 + (67*t[4])/16 + (15*t[5])/32 - (7*t[6])/32 - 
       (15*t[7])/16 - (21*t[8])/16 - (21*t[9])/32 + (387*t[10])/32 - 
       (213*t[11])/32 - (93*t[12])/16 - (231*t[13])/32 + (1049*t[14])/192 - 
       (29*t[15])/64 + t[26]/2 - t[37] - t[38]/2 - (7*t[46])/2 - 
       (3*t[48])/32 + (279*t[49])/32 + (9*t[50])/32 - (37*t[51])/64 - 
       (9*t[52])/32 - (275*t[53])/32 + (33*t[54])/32 - t[59]/6 - 
       (27*t[60])/8 + (55*t[61])/8 - (119*t[62])/24 + 23*t[63] - 
       (131*t[64])/8 - (125*t[65])/24 + (27*t[66])/8 + t[73]/2 + t[74] - 
       (5*t[75])/2 + t[79] - t[81]/4 + t[82]/4 + (9*t[83])/4 - (7*t[84])/4 - 
       (3*t[85])/2 - 3*t[86] - (75*t[87])/8 - (75*t[88])/16 - 
       (105*t[89])/16 + (9*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*((37*t[4])/16 - (121*t[10])/32 + (5*t[11])/2 + 
       (67*t[12])/32 + (35*t[13])/48 - (517*t[14])/192 + (115*t[15])/96 - 
       t[36]/2 + (45*t[49])/32 + (117*t[51])/64 - (9*t[53])/32 + 
       (27*t[54])/16 + (41*t[60])/16 - (135*t[61])/16 - (53*t[62])/32 - 
       (91*t[63])/32 + (63*t[64])/32 - (1225*t[65])/144 - (229*t[66])/48 + 
       (3*t[69])/4 + t[73]/2 - (5*t[75])/2 - t[79]/2 + (15*t[83])/8 - 
       (27*t[84])/16 - (27*t[85])/16 - (165*t[87])/16 - (165*t[88])/32 - 
       (113*t[89])/32 + (9*t[100])/4) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2*((7*t[1])/12 - (5*t[2])/12 + (31*t[3])/12 + 
       (73*t[4])/48 + (19*t[5])/4 - (565*t[6])/48 + 2*t[7] - (25*t[8])/2 - 
       (35*t[9])/8 + (317*t[10])/96 + (239*t[11])/48 - (31*t[12])/96 + 
       (137*t[13])/144 + (121*t[14])/576 - (481*t[15])/288 - t[19] + t[20] + 
       t[21] - t[22]/2 - t[23] - (2*t[25])/3 - t[26]/6 + (2*t[27])/3 + 
       t[28] + t[30] + t[31]/3 - t[34]/3 - 2*t[35] + t[36] + (8*t[37])/3 + 
       (5*t[38])/6 - (5*t[39])/12 + (5*t[40])/6 + (5*t[41])/12 - 
       (5*t[42])/12 + t[43]/2 - t[44] - (5*t[45])/6 + (5*t[46])/6 + 
       (5*t[47])/3 - (61*t[48])/16 + (93*t[49])/32 - (45*t[50])/16 - 
       (97*t[51])/192 - (3*t[52])/16 + (27*t[53])/32 - t[54]/4 - t[58]/3 - 
       t[59]/6 - (241*t[60])/48 - (53*t[61])/48 - (1225*t[62])/96 + 
       (449*t[63])/96 + (803*t[64])/96 - (3407*t[65])/144 - 
       (3163*t[66])/144 - (2*t[70])/3 + (2*t[71])/3 + (5*t[72])/6 - 2*t[73] + 
       2*t[75] + (79*t[76])/12 + t[77]/6 - (32*t[78])/3 + (59*t[80])/6 - 
       t[81]/4 + (13*t[82])/12 + (4*t[83])/3 - (491*t[84])/48 - 
       (71*t[85])/48 + 2*t[86] - (781*t[87])/48 - (375*t[88])/32 - 
       (1055*t[89])/96 + 2*t[95] + (25*t[96])/6 + 2*t[97] + 44*t[98] - 
       49*t[99] + (9*t[100])/4) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((-29*t[1])/12 - (29*t[2])/12 + (11*t[3])/12 + 
       t[4]/48 + (169*t[5])/24 - (169*t[6])/16 - t[7]/3 - (13*t[8])/6 - 
       (71*t[9])/12 + (775*t[10])/96 + (11*t[11])/48 - (205*t[12])/96 - 
       (1523*t[13])/432 + (4481*t[14])/576 + (251*t[15])/288 - t[19] - 
       t[20] - t[21] + t[22]/2 + t[23] + (13*t[26])/6 - t[27]/6 - t[28] - 
       t[30] - t[31]/3 - t[34]/3 + 2*t[35] + 2*t[36] + t[37]/6 - 
       (13*t[38])/6 + t[39]/4 + (5*t[40])/6 - (7*t[41])/12 + (7*t[42])/12 - 
       t[43]/2 + t[44] + t[45]/6 - t[46]/2 - t[47]/3 - (23*t[48])/16 + 
       (689*t[49])/96 - (173*t[50])/48 - (701*t[51])/192 + (29*t[52])/48 - 
       (313*t[53])/96 - t[54]/8 - t[58]/3 + (4*t[59])/3 - (649*t[60])/48 + 
       (469*t[61])/48 - (1523*t[62])/96 + (1643*t[63])/96 - (89*t[64])/32 - 
       (443*t[65])/48 - (931*t[66])/144 - (2*t[70])/3 + (2*t[71])/3 - 
       2*t[73] - t[74] + 2*t[75] + (83*t[76])/12 - t[77]/6 - (29*t[78])/3 - 
       (15*t[79])/4 + (9*t[80])/2 - (5*t[81])/12 + (17*t[82])/12 + 
       (4*t[83])/3 - (137*t[84])/16 - (115*t[85])/48 + (5*t[86])/4 - 
       (529*t[87])/48 - (275*t[88])/32 - (341*t[89])/32 + 2*t[95] + 
       (25*t[96])/6 + 2*t[97] + 44*t[98] - 49*t[99] + (9*t[100])/4) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((-5*t[1])/16 - t[3]/4 + (49*t[4])/48 - (11*t[5])/96 + (11*t[6])/32 - 
       (17*t[7])/24 - (17*t[8])/24 + (107*t[9])/96 - (3131*t[10])/384 + 
       (791*t[11])/192 + (2509*t[12])/384 + (1277*t[13])/192 - 
       (15215*t[14])/2304 + (289*t[15])/128 + (5*t[26])/16 + t[28]/4 + 
       t[31]/4 - t[35]/4 - (5*t[38])/16 + t[39]/4 - t[40]/4 + t[45]/4 + 
       (5*t[46])/16 - t[47]/2 - t[48]/32 - (533*t[49])/384 - (9*t[50])/32 + 
       (1017*t[51])/256 + (9*t[52])/32 + (797*t[53])/384 + (59*t[54])/16 + 
       (5*t[59])/32 + (937*t[60])/192 - (975*t[61])/64 + (3389*t[62])/384 - 
       (5713*t[63])/384 + (3593*t[64])/384 - (1327*t[65])/288 - 
       (2459*t[66])/288 + t[69]/2 + t[72]/2 + (3*t[75])/4 + (3*t[76])/2 + 
       t[77]/4 + t[78]/4 - t[80]/2 + (3*t[81])/8 - (3*t[82])/8 + t[83]/3 - 
       (37*t[84])/32 - (35*t[85])/32 - (13*t[86])/3 - (295*t[87])/48 - 
       (155*t[88])/48 + (49*t[89])/128 + t[95]/2 + (19*t[100])/8) + 
     HPL[{1}, 1 - v]^2*M1[v, w, u]*(-t[1]/3 + (5*t[3])/24 - (97*t[4])/24 + 
       (23*t[5])/48 - t[6]/8 - t[7]/4 - (2*t[8])/3 - (11*t[9])/16 + 
       (107*t[10])/16 - (85*t[11])/12 + (5*t[12])/24 - (905*t[13])/144 + 
       (397*t[14])/288 + (281*t[15])/288 - t[25]/6 + t[26]/2 + t[37]/2 - 
       t[38]/3 - (11*t[46])/4 - t[48]/8 + (253*t[49])/48 + (7*t[50])/24 + 
       (127*t[51])/96 - (7*t[52])/24 - (133*t[53])/48 + (59*t[54])/24 + 
       (3*t[59])/4 - (77*t[60])/8 + (17*t[61])/6 + t[62]/16 + 
       (857*t[63])/48 - (17*t[64])/12 + (41*t[65])/24 + (77*t[66])/8 + 
       t[69] - t[70]/2 + t[71]/2 + t[73]/2 - t[74]/2 + t[75]/2 - t[79]/2 - 
       t[81]/4 + t[82]/4 - t[83]/12 - (71*t[84])/24 - (35*t[85])/12 - 
       t[86]/6 - (17*t[87])/8 - (17*t[88])/16 - (85*t[89])/16 + 
       (5*t[100])/2) + HPL[{1}, 1 - u]^2*M1[v, w, u]*
      ((-41*t[4])/24 + t[5]/48 - t[7]/24 - t[8]/24 - t[9]/48 - 
       (191*t[10])/48 + (17*t[11])/24 + (83*t[12])/24 + (73*t[13])/72 - 
       (239*t[14])/72 + (113*t[15])/96 - t[36]/2 - (11*t[49])/48 + 
       (35*t[51])/16 + (47*t[53])/48 + (11*t[54])/4 - (59*t[60])/24 - 
       (63*t[61])/8 + (19*t[62])/24 - (71*t[63])/24 + (425*t[64])/48 - 
       (119*t[65])/36 - (95*t[66])/36 + t[69]/2 + t[73]/2 + t[75]/2 - 
       t[79]/2 - t[83]/12 - (11*t[84])/4 - (11*t[85])/4 - t[86]/6 - 
       (73*t[87])/24 - (73*t[88])/48 - (47*t[89])/16 + (5*t[100])/2) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - w]*((-159*t[4])/16 - 
       (13*t[5])/192 + (13*t[7])/96 + (13*t[8])/96 + (13*t[9])/192 - 
       (1037*t[10])/96 - (11*t[11])/32 + (511*t[12])/64 + (785*t[13])/144 - 
       (13735*t[14])/1152 + (4151*t[15])/1152 - (19*t[36])/24 - 
       (187*t[49])/48 + (1901*t[51])/384 + (217*t[53])/48 + (385*t[54])/96 - 
       (35*t[60])/3 - (299*t[61])/24 + (1939*t[62])/192 - (2267*t[63])/192 + 
       (763*t[64])/24 + (781*t[65])/96 + (1921*t[66])/288 + (5*t[69])/12 + 
       (19*t[73])/24 + (19*t[75])/8 - (19*t[79])/24 - (13*t[83])/6 - 
       (385*t[84])/96 - (385*t[85])/96 + (13*t[86])/24 + (43*t[87])/8 + 
       (43*t[88])/16 + (49*t[89])/16 + (11*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((23*t[1])/24 - (5*t[2])/16 - t[3]/6 + (851*t[4])/576 - (11*t[5])/144 - 
       (25*t[6])/16 - (35*t[7])/144 + (535*t[8])/144 - (613*t[9])/144 + 
       (14537*t[10])/1152 + t[11]/36 - (4495*t[12])/1152 - (2413*t[13])/576 + 
       (59507*t[14])/6912 - (1295*t[15])/3456 - (7*t[25])/6 + (5*t[26])/12 - 
       (5*t[28])/12 - (17*t[30])/12 - (17*t[31])/12 + (5*t[35])/6 + t[36] - 
       (5*t[37])/4 + (3*t[38])/4 - (17*t[43])/24 - (5*t[44])/12 - 
       (5*t[45])/12 + (13*t[46])/12 + (5*t[47])/6 - (15*t[48])/16 - 
       (241*t[49])/1152 - t[50]/48 - (1625*t[51])/768 - (13*t[52])/16 - 
       (2351*t[53])/1152 + (173*t[54])/192 + t[59]/24 - (793*t[60])/576 + 
       (3011*t[61])/192 - (16097*t[62])/1152 + (9937*t[63])/1152 - 
       (3515*t[64])/1152 - (1871*t[65])/1728 + (4015*t[66])/1728 + 
       (5*t[72])/2 - (17*t[73])/12 - t[74]/6 + t[75]/12 - (8*t[76])/3 + 
       (31*t[78])/12 - (5*t[79])/4 + (5*t[80])/3 - (11*t[81])/6 - 
       (5*t[82])/12 + (83*t[83])/36 - (73*t[84])/192 - (227*t[85])/64 + 
       (181*t[86])/36 + (2095*t[87])/576 + (6415*t[88])/1152 - 
       (1993*t[89])/384 + (7*t[95])/6 - (5*t[96])/6 + (5*t[97])/12 - 
       15*t[98] + 10*t[99] + (17*t[100])/6) + HPL[{1}, 1 - u]^3*
      Omega2[w, u, v]*((-35*t[4])/4 - t[5]/8 + t[7]/4 + t[8]/4 + t[9]/8 - 
       (55*t[10])/8 + t[11]/4 + 9*t[12] - t[13]/12 - (69*t[14])/16 + 
       (77*t[15])/48 - t[36] - (19*t[49])/8 + (75*t[51])/16 + (31*t[53])/8 + 
       (29*t[54])/4 - (47*t[60])/4 - (47*t[61])/4 - (21*t[62])/8 - 
       (11*t[63])/8 + (187*t[64])/8 - (209*t[65])/36 - (101*t[66])/12 + 
       t[69] + t[73] + 3*t[75] - t[79] - (5*t[83])/2 - (29*t[84])/4 - 
       (29*t[85])/4 + t[86] + (3*t[87])/4 + (3*t[88])/8 - (79*t[89])/8 + 
       3*t[100]) + HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - u]*
      ((-73*t[4])/12 - (3*t[5])/16 + (3*t[7])/8 + (3*t[8])/8 + (3*t[9])/16 + 
       (5*t[10])/12 - t[11]/8 + (311*t[12])/48 - (13*t[13])/36 + 
       (11*t[14])/8 - (253*t[15])/288 - (7*t[36])/6 - (67*t[49])/24 + 
       (19*t[51])/16 + (67*t[53])/24 + (13*t[54])/4 - (79*t[60])/12 - 
       (8*t[61])/3 - (13*t[62])/3 + t[63]/12 + (143*t[64])/12 - (7*t[65])/9 - 
       (80*t[66])/9 + (5*t[73])/6 + (35*t[75])/6 - (7*t[79])/6 - 
       (13*t[83])/2 - (13*t[84])/4 - (13*t[85])/4 + (3*t[86])/2 + 
       (79*t[87])/12 + (79*t[88])/24 - (77*t[89])/12 + 3*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - u]*(-t[1]/6 + t[3]/3 + 
       (77*t[4])/4 + (17*t[5])/24 - t[6]/4 + t[7]/3 - t[8]/3 - (25*t[9])/24 + 
       (187*t[10])/24 - (17*t[11])/3 + 2*t[12] - (83*t[13])/12 + 
       (197*t[14])/36 - (317*t[15])/144 - t[16]/6 - (2*t[25])/3 + t[26] + 
       t[36]/3 + 3*t[37] - t[38]/6 - (83*t[46])/12 - t[48]/4 + 
       (241*t[49])/24 + (5*t[50])/12 + (5*t[51])/3 - (5*t[52])/12 - 
       (223*t[53])/24 - (35*t[54])/12 + (53*t[59])/12 + (121*t[60])/12 - 
       (23*t[61])/4 - t[62]/2 + (107*t[63])/12 - (407*t[64])/12 - 
       (53*t[65])/6 + (13*t[66])/2 + t[67]/6 + 9*t[69] - 5*t[70] + 5*t[71] + 
       2*t[73] - 3*t[74] - (8*t[75])/3 - (8*t[79])/3 - t[81]/3 + t[82]/3 + 
       3*t[83] + (13*t[84])/6 + (7*t[85])/3 + (8*t[86])/3 - (51*t[87])/4 - 
       (51*t[88])/8 - (151*t[89])/24 + 3*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - v]*(t[1]/3 + t[3]/6 + 
       (5*t[4])/2 + (7*t[5])/24 - t[6]/8 - (7*t[7])/12 - (11*t[8])/12 - 
       (11*t[9])/24 + (35*t[10])/12 - (53*t[11])/24 - (5*t[12])/8 - 
       (32*t[13])/9 + t[14]/36 + (55*t[15])/144 - t[16]/6 - t[25]/3 - 
       t[26]/3 - t[36]/3 + t[38]/3 - (7*t[46])/3 - t[48]/8 + (53*t[49])/12 + 
       (5*t[50])/24 + (43*t[51])/24 - (5*t[52])/24 - (23*t[53])/12 - 
       (11*t[54])/24 + (7*t[59])/6 + (37*t[60])/12 - (8*t[61])/3 + 
       (115*t[62])/24 - (59*t[63])/24 - (181*t[64])/12 - t[65]/36 + 
       (341*t[66])/36 + t[67]/6 + t[69] + t[73] - 2*t[74] + (5*t[75])/3 - 
       (7*t[79])/3 - t[81]/6 + t[82]/6 - (9*t[83])/2 + t[84]/12 + t[85]/6 - 
       (5*t[86])/3 - (83*t[87])/12 - (83*t[88])/24 - (73*t[89])/24 + 
       3*t[100]) + B8[u, v, w]*HPL[{1}, 1 - u]*(t[3]/4 + (7*t[5])/8 - 
       t[7]/4 - (3*t[8])/4 - (9*t[9])/8 + 2*t[10] - (5*t[11])/4 - 
       (7*t[12])/8 - (31*t[13])/24 + (31*t[14])/24 - (17*t[15])/48 - 
       t[46]/2 + (3*t[49])/4 + t[50]/2 - t[51]/4 - t[52]/2 - (3*t[53])/4 - 
       t[54]/2 - t[60]/2 - t[61]/2 - (7*t[62])/4 + (15*t[63])/4 - 3*t[64] - 
       (5*t[65])/4 + (13*t[66])/12 + t[75] - t[81]/2 + t[82]/2 - t[83] - 
       t[84]/4 - t[85]/2 - 2*t[89] + 3*t[100]) + HPL[{1}, 1 - v]^2*
      M1[w, u, v]*(t[3]/4 + (9*t[4])/4 + t[5]/2 - (3*t[6])/16 - t[7]/8 - 
       (5*t[8])/8 - (3*t[9])/4 + (9*t[10])/4 - (31*t[11])/16 - t[12]/8 - 
       (13*t[13])/6 - (13*t[14])/48 + t[15]/24 - t[25]/2 + t[26]/2 + 
       t[37]/2 - (7*t[46])/4 - (3*t[48])/16 + (11*t[49])/4 + (5*t[50])/16 + 
       (17*t[51])/16 - (5*t[52])/16 - (3*t[53])/2 - (7*t[54])/16 + 
       (11*t[59])/12 + (5*t[60])/8 - 3*t[61] + (13*t[62])/16 + 
       (27*t[63])/16 - (45*t[64])/8 - (7*t[65])/8 + (43*t[66])/8 + t[69] - 
       t[70]/2 + t[71]/2 + t[73]/2 - t[74]/2 + t[75]/2 - t[79]/2 - t[81]/4 + 
       t[82]/4 - (3*t[83])/4 - t[84]/8 + t[86]/2 - (23*t[87])/8 - 
       (23*t[88])/16 - (27*t[89])/16 + 3*t[100]) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - v]*((-3*t[1])/4 + t[3]/4 - 
       (49*t[4])/3 + t[5] + t[6]/16 - (5*t[7])/6 - (4*t[8])/3 - (5*t[9])/4 - 
       (9*t[10])/8 - (83*t[11])/16 + (107*t[12])/12 - (40*t[13])/9 - 
       (1177*t[14])/144 + (11*t[15])/3 - t[25]/2 + (4*t[26])/3 + t[37] - 
       (3*t[38])/4 - (17*t[46])/12 + t[48]/16 - (5*t[49])/8 + (9*t[50])/16 + 
       (127*t[51])/24 - (9*t[52])/16 + (57*t[53])/8 + (43*t[54])/16 + 
       (37*t[59])/24 - (115*t[60])/8 - (16*t[61])/3 + (563*t[62])/48 + 
       (241*t[63])/48 + (881*t[64])/48 + (211*t[65])/18 + (893*t[66])/36 + 
       (5*t[73])/6 - t[74] + (35*t[75])/6 - t[79] - (7*t[81])/12 + 
       (7*t[82])/12 - (22*t[83])/3 - (7*t[84])/2 - (31*t[85])/8 - 
       (7*t[86])/3 + (161*t[87])/24 + (161*t[88])/48 - (41*t[89])/48 + 
       3*t[100]) + B7[u, v, w]*HPL[{1}, 1 - u]*(t[3]/4 + t[5]/8 - 
       (3*t[6])/8 - t[7]/4 - (3*t[8])/4 - (3*t[9])/8 + t[10] - (5*t[11])/8 - 
       (3*t[12])/8 + t[13]/8 - (7*t[14])/24 - (11*t[15])/48 - (3*t[48])/8 + 
       t[49]/4 + t[50]/8 - t[51]/8 - t[52]/8 - t[53]/4 - t[54]/8 - 
       (3*t[60])/4 - (7*t[61])/4 + (5*t[62])/8 + (7*t[63])/8 + (5*t[64])/8 - 
       (7*t[65])/12 - t[66]/12 + t[83] - t[84]/4 + t[85]/4 + t[87]/4 + 
       t[88]/8 - t[89]/8 + 3*t[100]) + B8[v, w, u]*HPL[{1}, 1 - v]*
      (-t[5]/8 + t[9]/8 + t[10]/4 + (5*t[11])/4 - (13*t[12])/8 + 
       (2*t[13])/3 - t[14]/8 + t[15]/16 - t[36] + t[46]/2 - t[49]/4 - 
       t[51]/4 + t[53]/4 - t[59]/2 + 3*t[60] - t[62]/4 - (11*t[63])/4 + 
       (9*t[64])/4 - (13*t[65])/6 - (11*t[66])/6 - t[69] + t[70] - t[71] + 
       t[74] + t[75] - t[83] - 2*t[87] - t[88] + t[89]/4 + 3*t[100]) + 
     B7[v, w, u]*HPL[{1}, 1 - v]*(t[5]/4 - t[9]/4 + t[10]/4 - t[11]/2 - 
       (5*t[12])/2 + (5*t[13])/6 - t[14]/24 - t[15]/24 + t[49]/4 - t[51]/8 - 
       t[53]/4 - t[59]/2 + 2*t[60] - t[61]/2 + t[64]/2 - t[65] - 
       (2*t[66])/3 - t[69] + t[70] - t[71] + t[83] - t[87] - t[88]/2 + 
       t[89]/2 + 3*t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - u]*
      (t[3]/12 + (9*t[4])/2 + t[5]/3 - t[7]/6 - t[8]/3 - (5*t[9])/12 - 
       (5*t[10])/4 + 2*t[11] + (13*t[12])/6 + (245*t[13])/72 - 
       (133*t[14])/48 + (17*t[15])/36 - t[36]/3 - t[46]/6 + (5*t[49])/4 + 
       t[50]/6 + (23*t[51])/48 - t[52]/6 - (5*t[53])/4 - (5*t[54])/12 + 
       (41*t[60])/6 - (31*t[61])/3 + (67*t[62])/24 - (187*t[63])/24 + 
       t[64]/4 - (47*t[65])/9 - (49*t[66])/18 + t[73] + (5*t[75])/3 - 
       t[79]/3 - t[81]/6 + t[82]/6 - (8*t[83])/3 + t[84]/6 + t[85]/12 - 
       t[86]/3 - 7*t[87] - (7*t[88])/2 + (2*t[89])/3 + 3*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      ((33*t[4])/4 + t[5]/4 - t[7]/2 - t[8]/2 - t[9]/4 + (49*t[10])/8 + 
       t[11] - (21*t[12])/8 + (35*t[13])/12 + (53*t[14])/24 - (3*t[15])/2 + 
       (11*t[49])/8 - (13*t[51])/4 - (23*t[53])/8 - 5*t[54] + (51*t[60])/4 + 
       t[61]/4 + (17*t[62])/4 - (21*t[63])/4 - (121*t[64])/8 + (3*t[65])/2 + 
       (5*t[66])/6 - t[69] + 2*t[75] - (7*t[83])/2 + 5*t[84] + 5*t[85] - 
       2*t[86] - (7*t[87])/4 - (7*t[88])/8 + (55*t[89])/8 + 3*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((2*t[1])/3 + 2*t[3] + (23*t[4])/4 + (13*t[5])/8 - (13*t[6])/4 + 
       (13*t[7])/4 + (13*t[8])/4 - (29*t[9])/8 - (113*t[10])/8 + 
       (49*t[11])/6 + (5*t[12])/2 + (107*t[13])/36 - (395*t[14])/72 - 
       (37*t[15])/48 - (2*t[26])/3 - 2*t[28] - 2*t[31] + 2*t[35] + t[36]/3 + 
       (2*t[38])/3 - 2*t[39] + 2*t[40] - 2*t[45] - 2*t[46] + 4*t[47] - 
       t[48]/4 + (31*t[49])/8 + (7*t[50])/4 + 2*t[51] - (7*t[52])/4 - 
       (27*t[53])/8 - t[54]/12 - t[59]/3 + (21*t[60])/4 - (265*t[61])/12 - 
       (191*t[62])/12 - (89*t[63])/12 + (577*t[64])/24 - (40*t[65])/3 - 
       (17*t[66])/9 + t[69] + t[73] - (4*t[74])/3 - t[75] - 2*t[77] - 
       2*t[78] - t[79] + 4*t[80] - (7*t[81])/3 + (7*t[82])/3 + (13*t[83])/2 - 
       (11*t[84])/3 - (19*t[85])/6 + 25*t[86] - (101*t[87])/12 - 
       (85*t[88])/24 - (211*t[89])/24 - (4*t[95])/3 + 3*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((289*t[1])/36 - (269*t[2])/36 - (7*t[3])/18 + (5585*t[4])/72 + 
       (31*t[5])/4 + (113*t[6])/36 - (13*t[7])/2 - (13*t[8])/3 - 
       (41*t[9])/3 + (4247*t[10])/288 + (14279*t[11])/144 - 
       (1171*t[12])/288 + (3097*t[13])/48 + (373*t[14])/27 - 
       (6283*t[15])/864 + 2*t[22] + (61*t[25])/9 - (137*t[26])/9 + 
       (20*t[27])/9 + 4*t[28] - 4*t[30] - (80*t[31])/9 + (2*t[34])/9 - 
       8*t[35] - (26*t[36])/3 - (41*t[37])/18 + (76*t[38])/9 - (5*t[39])/9 + 
       (11*t[40])/18 - t[41]/9 + t[42]/9 - 2*t[43] - (23*t[44])/3 - 
       (11*t[45])/18 + (19*t[46])/9 + (11*t[47])/9 - (14*t[48])/3 - 
       (965*t[49])/32 - (13*t[50])/2 + (2749*t[51])/288 - (7*t[52])/2 + 
       (21*t[53])/32 - (327*t[54])/8 + (2*t[58])/9 - (83*t[59])/36 + 
       (19157*t[60])/144 + (3917*t[61])/72 - (10745*t[62])/144 - 
       (24965*t[63])/144 - (509*t[64])/144 - (865*t[65])/54 - 
       (18305*t[66])/216 + (11*t[69])/3 + (52*t[70])/9 - (52*t[71])/9 + 
       (130*t[72])/9 + t[73] + (25*t[74])/3 - (107*t[76])/9 + (71*t[77])/9 - 
       (8*t[78])/9 + (32*t[79])/3 + (100*t[80])/9 - (11*t[81])/3 - 
       (109*t[82])/18 - (23*t[83])/9 + (2867*t[84])/72 - (325*t[85])/72 + 
       3*t[86] - (1151*t[87])/72 + (585*t[88])/16 + (3565*t[89])/288 - 
       (41*t[95])/3 - (97*t[96])/9 + (14*t[97])/3 - (304*t[98])/3 + 
       58*t[99] + 3*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((281*t[1])/36 + (325*t[2])/72 - (475*t[3])/36 - 
       (11123*t[4])/288 - (1487*t[5])/96 + (5305*t[6])/144 + (105*t[7])/8 + 
       (227*t[8])/4 + (1549*t[9])/96 + (15755*t[10])/576 - (7463*t[11])/144 - 
       (2827*t[12])/576 - (38215*t[13])/864 + (46579*t[14])/3456 + 
       (7753*t[15])/864 + (3*t[16])/4 - 2*t[19] - (193*t[25])/36 + 
       (67*t[26])/18 - (37*t[27])/18 + 3*t[29] - (19*t[30])/12 + 
       (11*t[31])/36 + 2*t[32] - 2*t[33] - (95*t[34])/36 - 2*t[35] + 
       (5*t[36])/6 + t[37]/36 + (73*t[38])/18 + (227*t[39])/36 - 
       (247*t[40])/36 + (95*t[41])/72 - (95*t[42])/72 - (29*t[43])/12 + 
       (5*t[45])/18 - (1031*t[46])/72 + (13*t[47])/9 + (335*t[48])/16 + 
       (1941*t[49])/64 + (65*t[50])/48 + (5213*t[51])/1152 + (145*t[52])/16 - 
       (2251*t[53])/192 + (2803*t[54])/96 + (35*t[58])/18 - (35*t[59])/72 - 
       (19075*t[60])/288 + (11299*t[61])/288 + (22139*t[62])/576 + 
       (28289*t[63])/576 - (8959*t[64])/576 + (16555*t[65])/864 + 
       (66749*t[66])/864 - t[67]/4 + (3*t[69])/2 + t[70]/18 - t[71]/18 - 
       (40*t[72])/9 - (25*t[73])/3 - (10*t[74])/3 + (70*t[75])/3 - 
       (331*t[76])/36 + (73*t[77])/36 + (521*t[78])/36 + (5*t[79])/2 - 
       (233*t[80])/18 - (69*t[81])/8 + (127*t[82])/72 - (769*t[83])/36 - 
       (6677*t[84])/288 - (12047*t[85])/288 - (35*t[86])/2 + 
       (10253*t[87])/288 + (629*t[88])/64 - (2987*t[89])/576 + (23*t[95])/6 + 
       (43*t[96])/9 - (5*t[97])/4 - (143*t[98])/3 + 66*t[99] + 3*t[100]) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - u]*((-19*t[1])/72 + (19*t[3])/72 + 
       (109*t[4])/72 + (209*t[5])/288 - (19*t[6])/192 - t[7] - (55*t[8])/36 - 
       (95*t[9])/96 + (189*t[10])/32 - (1577*t[11])/576 + (13*t[12])/72 - 
       (5087*t[13])/864 + (139*t[14])/432 + (707*t[15])/1728 - 
       (19*t[25])/36 + (19*t[26])/24 - (19*t[38])/72 - (19*t[46])/12 - 
       (19*t[48])/192 + (185*t[49])/36 + (247*t[50])/576 + (305*t[51])/288 - 
       (247*t[52])/576 - (227*t[53])/144 + (191*t[54])/576 + (59*t[59])/48 + 
       (33*t[60])/32 - (179*t[61])/72 + (583*t[62])/192 + (3331*t[63])/576 - 
       (1657*t[64])/144 - (391*t[65])/96 + (2989*t[66])/288 + (5*t[69])/6 - 
       (5*t[70])/12 + (5*t[71])/12 + (19*t[73])/24 + (19*t[75])/8 - 
       (19*t[81])/48 + (19*t[82])/48 - (29*t[83])/9 - (295*t[84])/288 - 
       (157*t[85])/144 - (53*t[86])/18 - (473*t[87])/96 - (473*t[88])/192 - 
       (773*t[89])/192 + (19*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((49*t[1])/18 - (9*t[2])/4 + 
       (3*t[3])/4 + (863*t[4])/72 - (325*t[5])/144 - (139*t[6])/24 + 
       (337*t[7])/72 - (419*t[8])/72 + (505*t[9])/144 + (6397*t[10])/288 + 
       (775*t[11])/144 - (3701*t[12])/288 - (5507*t[13])/432 + 
       (12739*t[14])/576 - (1015*t[15])/144 - 2*t[19] - 2*t[20] - 2*t[21] + 
       2*t[22] + 2*t[23] - (71*t[26])/36 + 2*t[27] - t[29] + t[32] - t[33] - 
       t[34]/2 + (11*t[36])/18 + t[37] + (89*t[38])/36 + (3*t[39])/2 - 
       t[40] - (3*t[41])/4 + (3*t[42])/4 + 2*t[45] + t[46]/8 - 2*t[47] - 
       (61*t[48])/24 + (1867*t[49])/288 - (37*t[50])/24 - (1339*t[51])/192 + 
       t[52]/24 - (1423*t[53])/288 - (485*t[54])/72 + (13*t[59])/72 + 
       (871*t[60])/36 - (5735*t[61])/72 - (2045*t[62])/288 - 
       (5855*t[63])/288 - (443*t[64])/6 + (4235*t[65])/108 + 
       (5473*t[66])/144 + (7*t[68])/3 - (14*t[69])/3 + t[72] + (19*t[73])/6 + 
       (2*t[74])/9 + (31*t[75])/6 - (26*t[76])/3 - (13*t[77])/3 - 
       (71*t[78])/6 + (37*t[79])/3 + (91*t[80])/4 + (11*t[81])/9 + 
       (149*t[82])/18 + (203*t[83])/18 + (1367*t[84])/72 + (2261*t[85])/72 + 
       (5533*t[86])/72 - (203*t[87])/12 + (233*t[88])/36 - (959*t[89])/144 - 
       (4*t[95])/9 + t[96] + (7*t[97])/3 + 48*t[98] - 54*t[99] + 
       (19*t[100])/6) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-5*t[1])/8 - t[3]/2 - (13*t[4])/3 - (13*t[5])/24 + (11*t[6])/16 - 
       (19*t[7])/24 - (19*t[8])/24 + (25*t[9])/24 - (431*t[10])/192 - 
       (205*t[11])/96 + (1117*t[12])/192 + (83*t[13])/32 - 
       (7475*t[14])/1152 + (167*t[15])/64 + (5*t[26])/8 + t[28]/2 + t[31]/2 - 
       t[35]/2 - t[36]/2 - (5*t[38])/8 + t[39]/2 - t[40]/2 + t[45]/2 + 
       (5*t[46])/8 - t[47] - t[48]/16 - (377*t[49])/192 - (9*t[50])/16 + 
       (277*t[51])/128 + (9*t[52])/16 + (497*t[53])/192 + (5*t[54])/2 + 
       (5*t[59])/16 - (491*t[60])/96 - (219*t[61])/32 + (2225*t[62])/192 - 
       (1477*t[63])/192 + (1613*t[64])/192 + (983*t[65])/144 + 
       (655*t[66])/144 + t[69]/2 + t[73]/2 + 3*t[75] + t[77]/2 + t[78]/2 - 
       t[79]/2 - t[80] + (3*t[81])/4 - (3*t[82])/4 - (43*t[83])/12 - 
       (23*t[84])/16 - (21*t[85])/16 - (37*t[86])/6 + (13*t[87])/12 + 
       (11*t[88])/48 + (277*t[89])/64 + t[95] + (13*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((-13*t[1])/12 - t[3]/2 + (137*t[4])/24 + (7*t[5])/96 + (9*t[6])/8 - 
       (55*t[7])/48 - (55*t[8])/48 + (41*t[9])/96 - (137*t[10])/96 + 
       (89*t[11])/24 + (149*t[12])/48 + (737*t[13])/144 - (71*t[14])/16 + 
       (251*t[15])/192 + (13*t[26])/12 + t[28]/2 + t[31]/2 - t[35]/2 - 
       (23*t[36])/12 - (13*t[38])/12 + t[39]/2 - t[40]/2 + t[45]/2 - t[47] + 
       (3*t[48])/8 - (77*t[49])/96 - t[50]/8 + (53*t[51])/32 + t[52]/8 + 
       (65*t[53])/96 - (49*t[54])/48 + (13*t[59])/24 + (361*t[60])/48 - 
       (289*t[61])/48 + (311*t[62])/48 - (589*t[63])/48 - (179*t[64])/32 - 
       (589*t[65])/144 - (87*t[66])/16 + (5*t[69])/4 + (3*t[73])/4 + 
       (7*t[74])/6 - (3*t[75])/4 + t[77]/2 + t[78]/2 - (3*t[79])/4 - t[80] + 
       t[81]/6 - t[82]/6 + (11*t[83])/24 + (79*t[84])/48 + (43*t[85])/48 - 
       (91*t[86])/12 - 10*t[87] - (113*t[88])/24 + (275*t[89])/96 - 
       (4*t[95])/3 + (7*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*(t[1]/2 + t[2] + 2*t[3] + 
       (89*t[4])/16 - (5*t[5])/8 - (13*t[6])/16 - (3*t[7])/4 - (13*t[8])/4 + 
       (5*t[9])/8 - (371*t[10])/32 - (25*t[11])/16 - (35*t[12])/32 + 
       (361*t[13])/48 - (897*t[14])/64 + (257*t[15])/96 - t[26] - t[28]/2 - 
       t[31]/2 + t[34]/2 + t[35]/2 + (5*t[36])/2 + (3*t[38])/4 - 
       (3*t[39])/4 + t[40]/2 - t[41]/4 + t[42]/4 - t[45]/2 + t[46]/4 + 
       t[47] - (15*t[48])/16 + (39*t[49])/32 + (41*t[50])/16 + (3*t[51])/64 - 
       (33*t[52])/16 - (95*t[53])/32 - (21*t[54])/8 - (3*t[59])/4 + 
       (157*t[60])/16 - (449*t[61])/16 + (775*t[62])/32 - (407*t[63])/32 + 
       (243*t[64])/32 + (559*t[65])/48 + (419*t[66])/16 - (3*t[69])/2 + 
       t[72]/4 - 2*t[73] - t[74]/2 + (7*t[75])/2 - (5*t[76])/4 - t[77] + 
       2*t[78] + 2*t[79] + t[82] + t[83] + (87*t[84])/16 + (91*t[85])/16 + 
       3*t[86] - (115*t[87])/16 - (107*t[88])/32 + (459*t[89])/32 - 
       (3*t[96])/2 - t[97] - 12*t[98] + 12*t[99] + (15*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((31*t[1])/8 + (5*t[2])/8 - (19*t[3])/8 + (297*t[4])/16 - 
       (55*t[5])/16 + (15*t[6])/4 + (15*t[7])/8 + (53*t[8])/8 + 
       (51*t[9])/16 + (285*t[10])/32 + (17*t[11])/4 - (369*t[12])/32 + 
       (97*t[13])/36 + (2929*t[14])/192 - (25*t[15])/6 - (13*t[26])/4 - 
       t[27]/4 + t[28]/2 + t[31]/2 - t[34]/4 - t[35]/2 - (5*t[36])/2 + 
       t[37]/2 + (7*t[38])/2 + t[39]/2 - t[40] + t[41]/8 - t[42]/8 + 
       t[45]/2 - (7*t[46])/4 - t[47] + (11*t[48])/8 + (147*t[49])/32 - 
       t[50]/8 - (145*t[51])/64 + (11*t[52])/8 - (219*t[53])/32 - 
       (19*t[54])/16 + t[58]/4 - (37*t[59])/24 + (373*t[60])/16 + 
       (65*t[61])/16 - (341*t[62])/32 - (483*t[63])/32 - (889*t[64])/32 - 
       (233*t[65])/16 - (559*t[66])/16 + (3*t[69])/2 - (3*t[70])/4 + 
       (3*t[71])/4 - t[72]/2 + t[73] + (3*t[75])/2 - t[76] + t[77]/2 + 
       (3*t[78])/2 - (5*t[79])/2 - (5*t[80])/2 + (3*t[81])/4 - (5*t[82])/4 - 
       (41*t[83])/8 + (65*t[84])/16 + (37*t[85])/16 - (133*t[87])/16 - 
       (125*t[88])/32 - (185*t[89])/32 - t[97]/4 - 12*t[98] + 12*t[99] + 
       (15*t[100])/4) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-5*t[1])/6 + t[3]/3 - (11*t[4])/3 + 
       (31*t[5])/24 + t[6]/16 + t[7]/8 - (13*t[8])/24 - (13*t[9])/8 + 
       (47*t[10])/2 - (829*t[11])/48 - (53*t[12])/12 - (763*t[13])/72 + 
       (635*t[14])/144 + (289*t[15])/144 - (2*t[25])/3 + (3*t[26])/2 - 
       t[27] + (3*t[37])/2 - (5*t[38])/6 - (33*t[46])/4 + t[48]/16 + 
       (40*t[49])/3 + (35*t[50])/48 + (137*t[51])/48 - (35*t[52])/48 - 
       (79*t[53])/12 + (43*t[54])/48 + (13*t[59])/12 - (105*t[60])/8 + 
       (103*t[61])/12 + (63*t[62])/16 + (1451*t[63])/48 - (91*t[64])/6 + 
       (93*t[65])/8 + (649*t[66])/24 + (3*t[73])/2 - (3*t[74])/2 + 
       (7*t[75])/2 + 3*t[76] - (3*t[79])/2 - (3*t[81])/4 + (3*t[82])/4 - 
       (7*t[83])/3 - (47*t[84])/24 - (29*t[85])/12 + (11*t[86])/6 - 
       (17*t[87])/8 - (17*t[88])/16 - (157*t[89])/16 + 4*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((5*t[4])/3 - (11*t[5])/48 + (11*t[7])/24 + (11*t[8])/24 + 
       (83*t[9])/48 - (32*t[10])/3 + (281*t[11])/24 + (565*t[12])/48 + 
       (98*t[13])/9 - (599*t[14])/288 - (19*t[15])/32 - (3*t[36])/2 - 
       (103*t[49])/24 + (163*t[51])/32 + (103*t[53])/24 + (45*t[54])/8 + 
       (119*t[60])/12 - 19*t[61] - (109*t[62])/48 - (1123*t[63])/48 + 
       (53*t[64])/3 - (943*t[65])/72 - (2437*t[66])/72 + t[72] + 
       (3*t[73])/2 + (7*t[75])/2 + 3*t[76] - (3*t[79])/2 - (7*t[83])/3 - 
       (13*t[84])/8 - (13*t[85])/8 + (11*t[86])/6 - (35*t[87])/12 - 
       (35*t[88])/24 - (71*t[89])/8 + 4*t[100]) + 
     HPL[{1}, 1 - v]^3*Omega2[u, v, w]*(-t[1]/3 + t[3]/3 - (31*t[4])/6 + 
       (11*t[5])/12 - t[6]/8 - (3*t[7])/4 - (17*t[8])/12 - (5*t[9])/4 + 
       (9*t[10])/4 - (107*t[11])/24 + (29*t[12])/6 - (179*t[13])/36 - 
       (251*t[14])/72 + (125*t[15])/72 - (2*t[25])/3 + t[26] + t[37] - 
       t[38]/3 - (5*t[46])/2 - t[48]/8 + (17*t[49])/6 + (13*t[50])/24 + 
       (85*t[51])/24 - (13*t[52])/24 + (5*t[53])/3 + (23*t[54])/24 + 
       (5*t[59])/3 - (25*t[60])/4 - (59*t[61])/12 + (163*t[62])/24 + 
       (121*t[63])/24 + (35*t[64])/24 + (25*t[65])/6 + (52*t[66])/3 + 
       2*t[69] - t[70] + t[71] + t[73] - t[74] + 3*t[75] - t[79] - t[81]/2 + 
       t[82]/2 - (23*t[83])/6 - (11*t[84])/6 - (23*t[85])/12 - (5*t[86])/3 + 
       t[87]/4 + t[88]/8 - (21*t[89])/8 + 4*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (t[1]/3 - (67*t[4])/12 + t[5]/12 - t[6]/4 - (2*t[7])/3 - (2*t[8])/3 - 
       t[9]/12 - (11*t[10])/12 - (17*t[11])/6 + (17*t[12])/6 - (5*t[13])/18 - 
       (21*t[14])/8 + (19*t[15])/24 - t[26]/3 + (2*t[36])/3 + t[38]/3 + 
       t[46]/2 - t[48]/4 - (17*t[49])/12 - t[50]/4 + (9*t[51])/8 + t[52]/4 + 
       (23*t[53])/12 + (7*t[54])/3 - t[59]/6 - (35*t[60])/6 - (17*t[61])/3 + 
       (35*t[62])/6 + (5*t[63])/6 + (31*t[64])/4 + (187*t[65])/36 + 
       (55*t[66])/12 - (2*t[74])/3 + 4*t[75] + t[81]/3 - t[82]/3 - 
       (10*t[83])/3 - (25*t[84])/12 - (19*t[85])/12 - (8*t[86])/3 + 
       (27*t[87])/4 + (65*t[88])/24 + (11*t[89])/12 + (4*t[95])/3 + 
       4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((-7*t[1])/8 - (5*t[2])/8 - (11*t[3])/12 - 13*t[4] - 
       (21*t[5])/16 - (35*t[6])/16 - (121*t[7])/24 - (221*t[8])/24 + 
       (23*t[9])/48 + (517*t[10])/48 - (491*t[11])/48 + (14*t[12])/3 - 
       (253*t[13])/36 - (2219*t[14])/288 + (1751*t[15])/288 - (5*t[25])/3 + 
       (23*t[26])/12 + (3*t[28])/2 - t[29]/2 + (3*t[31])/2 - t[32]/2 + 
       t[33]/2 + t[34]/4 - t[35] - (11*t[36])/6 + (3*t[37])/2 - t[38]/2 + 
       t[39] - t[40]/2 - t[41]/8 + t[42]/8 + t[45] - (13*t[46])/4 - 
       (5*t[47])/2 - (33*t[48])/16 + (299*t[49])/48 - (79*t[50])/48 + 
       (745*t[51])/96 + (19*t[52])/48 + (253*t[53])/48 + (197*t[54])/48 - 
       t[58]/4 + (49*t[59])/24 - (91*t[60])/12 - (209*t[61])/24 + 
       (923*t[62])/48 + (43*t[63])/16 + (499*t[64])/48 + (563*t[65])/72 + 
       (595*t[66])/24 + t[69]/2 + t[72]/2 + (3*t[73])/2 - t[74]/6 + 
       11*t[75] + (7*t[76])/4 + (3*t[77])/2 + t[78] - (7*t[79])/2 - t[80] + 
       (25*t[81])/12 - (31*t[82])/12 - (137*t[83])/12 - (41*t[84])/12 - 
       t[85] - (77*t[86])/6 - (77*t[87])/8 - (227*t[88])/48 + (2*t[89])/3 - 
       (2*t[95])/3 + t[97]/4 + 12*t[98] - 12*t[99] + (17*t[100])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (-t[1]/6 - t[2] + (17*t[3])/8 - (23*t[4])/12 + (287*t[5])/48 - 
       (29*t[6])/16 + (13*t[7])/6 + (41*t[8])/12 - (257*t[9])/48 - 
       (331*t[10])/48 + (103*t[11])/16 + (307*t[12])/24 + (967*t[13])/144 - 
       (557*t[14])/72 - (73*t[15])/96 + (2*t[26])/3 - (3*t[28])/2 + t[29]/2 - 
       (3*t[31])/2 + t[32]/2 - t[33]/2 - t[34]/2 + t[35] + (2*t[36])/3 - 
       (5*t[38])/12 - (3*t[39])/4 + t[40] + t[41]/4 - t[42]/4 - t[45] - 
       (3*t[46])/2 + (5*t[47])/2 + (7*t[48])/16 - (37*t[49])/48 - 
       (5*t[50])/16 + (13*t[51])/4 - (3*t[52])/16 + (73*t[53])/48 + 
       (61*t[54])/48 + (7*t[59])/12 - (53*t[60])/12 - (125*t[61])/12 - 
       (45*t[62])/8 - (93*t[63])/8 + (511*t[64])/24 - 7*t[65] - 
       (275*t[66])/36 + (3*t[73])/2 - (5*t[74])/3 + 6*t[75] + 2*t[76] - 
       t[77] - (9*t[78])/2 + t[79]/2 + (7*t[80])/2 - (35*t[81])/12 + 
       (35*t[82])/12 - (37*t[83])/6 - (185*t[84])/24 - (22*t[85])/3 + 
       (49*t[86])/6 + (173*t[87])/24 + (63*t[88])/16 - (121*t[89])/12 - 
       (2*t[95])/3 + (3*t[96])/2 + t[97] + 12*t[98] - 12*t[99] + 
       (17*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v]*((-5*t[1])/12 - (5*t[4])/24 - (13*t[5])/96 - 
       t[6]/16 + (7*t[7])/48 + (7*t[8])/48 + (13*t[9])/96 - (169*t[10])/96 + 
       (35*t[11])/48 + (71*t[12])/24 + (131*t[13])/144 - (99*t[14])/64 - 
       t[15]/192 + (5*t[26])/12 - (7*t[36])/12 - (5*t[38])/12 + t[46]/16 - 
       t[48]/16 - (103*t[49])/96 - t[50]/16 + (43*t[51])/64 + t[52]/16 + 
       (121*t[53])/96 - (5*t[54])/48 + (5*t[59])/24 - (91*t[60])/48 - 
       (401*t[61])/48 - (109*t[62])/96 - (73*t[63])/96 + (475*t[64])/32 + 
       (59*t[65])/72 + (13*t[66])/24 + t[69]/2 + (3*t[73])/4 - t[74]/6 + 
       (7*t[75])/4 - t[79]/4 - t[80]/2 - t[81]/6 + (2*t[82])/3 - 
       (35*t[83])/6 - (5*t[84])/24 + t[85]/24 + (13*t[86])/12 + 
       (21*t[87])/8 + (61*t[88])/48 + (391*t[89])/96 + t[95]/3 + t[99] + 
       (17*t[100])/4) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2*((-9*t[1])/8 + (5*t[2])/4 - (17*t[3])/4 + 
       (273*t[4])/32 - (147*t[5])/32 + (531*t[6])/32 + (15*t[7])/4 + 
       (101*t[8])/4 + (95*t[9])/32 + (567*t[10])/64 - (199*t[11])/32 + 
       (73*t[12])/64 - (93*t[13])/32 + (1655*t[14])/128 - (41*t[15])/144 + 
       2*t[25] + (3*t[26])/4 - t[27] - t[28] + t[29]/2 - t[30] + t[32]/2 - 
       t[33]/2 - t[34]/2 + t[35] - (3*t[36])/4 - (7*t[37])/4 - 2*t[38] + 
       t[39] - (3*t[40])/2 + t[41]/4 - t[42]/4 - t[43]/2 + t[44]/2 + 
       t[45]/4 - 3*t[46] + (199*t[48])/32 + (145*t[49])/64 - (9*t[50])/32 - 
       (341*t[51])/128 + (105*t[52])/32 - (417*t[53])/64 - (29*t[54])/16 + 
       t[58] + (3*t[59])/8 + (395*t[60])/32 + (705*t[61])/32 - 
       (377*t[62])/64 - (1023*t[63])/64 - (1039*t[64])/64 + (1543*t[65])/96 + 
       (571*t[66])/32 - t[69]/2 + t[70] - t[71] - (5*t[72])/2 + t[73] + 
       t[74]/4 - 2*t[75] - (17*t[76])/2 + (3*t[77])/4 + (45*t[78])/4 + 
       2*t[79] - 7*t[80] - (37*t[81])/8 - (5*t[82])/8 - 3*t[83] + 
       (243*t[84])/32 - (55*t[85])/32 + (7*t[86])/2 + (439*t[87])/32 + 
       (903*t[88])/64 + (833*t[89])/64 - (5*t[95])/2 - 3*t[96] - 
       (3*t[97])/4 - 48*t[98] + 51*t[99] + (9*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-25*t[1])/72 - t[3]/4 - (457*t[4])/36 - (91*t[5])/288 + 3*t[6] - 
       (5*t[7])/144 + (67*t[8])/144 + (307*t[9])/288 - (5717*t[10])/576 - 
       (1103*t[11])/288 + (9541*t[12])/576 - (1703*t[13])/864 + 
       (3017*t[14])/1152 + (325*t[15])/288 + (25*t[26])/72 - (25*t[36])/36 - 
       (25*t[38])/72 - (115*t[46])/48 + t[48]/6 - (2291*t[49])/576 - 
       t[50]/3 + (1117*t[51])/128 + t[52]/3 + (3575*t[53])/576 + 
       (2035*t[54])/144 + (97*t[59])/144 - (5501*t[60])/288 - 
       (3439*t[61])/288 - (3665*t[62])/576 + (3769*t[63])/576 + 
       (4081*t[64])/192 - (4829*t[65])/432 - (853*t[66])/48 + (17*t[69])/6 - 
       t[70] + t[71] + (5*t[73])/4 - (14*t[74])/9 + (49*t[75])/12 + t[76] - 
       (9*t[79])/4 - (43*t[81])/18 - (5*t[82])/18 - (89*t[83])/18 - 
       (1375*t[84])/144 - (1387*t[85])/144 - (41*t[86])/36 - (13*t[87])/12 - 
       (107*t[88])/144 - (12127*t[89])/576 + (10*t[95])/9 + (55*t[100])/12) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((-5*t[1])/16 + (107*t[2])/96 + (17*t[3])/48 - (3521*t[4])/384 - 
       (83*t[5])/96 + (503*t[6])/192 + (15*t[7])/16 + (151*t[8])/48 + 
       (5*t[9])/8 - (1325*t[10])/768 - (443*t[11])/48 + (2399*t[12])/768 - 
       (897*t[13])/128 - (1669*t[14])/512 + (3103*t[15])/2304 - 
       (7*t[25])/12 + (4*t[26])/3 + t[27]/6 - t[28]/8 + t[29]/4 + t[30]/4 + 
       t[31]/12 + t[32]/4 - t[33]/4 - t[34]/12 - t[35]/4 + (7*t[36])/8 + 
       t[37]/24 - (5*t[38])/8 - t[39]/6 - (5*t[40])/12 + t[41]/24 - 
       t[42]/24 + t[43]/8 - t[44]/8 + t[45]/24 - (11*t[46])/12 + t[47]/6 + 
       (69*t[48])/64 + (457*t[49])/768 + (311*t[50])/192 + 
       (1601*t[51])/1536 - (23*t[52])/192 + (1631*t[53])/768 + 
       (1625*t[54])/384 + t[58]/6 + (7*t[59])/24 - (5927*t[60])/384 - 
       (2315*t[61])/384 + (10015*t[62])/768 + (3171*t[63])/256 - 
       (235*t[64])/768 + (6749*t[65])/1152 + (22063*t[66])/1152 - t[69]/4 - 
       (5*t[70])/12 + (5*t[71])/12 - (5*t[72])/12 + t[73]/2 - t[74]/2 - 
       t[75]/4 - (37*t[76])/24 - (17*t[77])/24 + (5*t[78])/6 + t[79] - 
       (11*t[80])/12 - (15*t[81])/8 + (47*t[82])/24 - (5*t[83])/2 - 
       (425*t[84])/128 - (971*t[85])/384 - (13*t[86])/6 + (1975*t[87])/384 + 
       (157*t[88])/256 - (1345*t[89])/768 + (3*t[95])/4 + t[96]/6 - 
       (5*t[97])/8 - 7*t[98] + (19*t[99])/2 + (39*t[100])/8) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-11*t[4])/12 + t[5]/24 - t[7]/12 - t[8]/12 - t[9]/24 + 
       (17*t[10])/24 + t[11]/4 + (59*t[12])/12 - (169*t[13])/36 + 
       (65*t[14])/16 - (113*t[15])/144 - t[36] + (11*t[49])/8 + 
       (85*t[51])/48 + t[53]/8 + (27*t[54])/4 - (55*t[60])/12 - 
       (103*t[61])/12 - (259*t[62])/24 + (65*t[63])/8 + (35*t[64])/24 - 
       (67*t[65])/4 - (613*t[66])/36 + t[69] + t[73] + t[75] - t[79] - 
       (7*t[83])/6 - (27*t[84])/4 - (27*t[85])/4 - t[86]/3 - (89*t[87])/12 - 
       (89*t[88])/24 - (129*t[89])/8 + 5*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      ((-77*t[4])/12 + t[5]/24 - t[7]/12 - t[8]/12 - t[9]/24 - 
       (185*t[10])/24 - t[11]/12 + (29*t[12])/3 + (25*t[13])/36 - 
       (797*t[14])/144 + (97*t[15])/48 - t[36] - (29*t[49])/24 + 
       (75*t[51])/16 + (65*t[53])/24 + (29*t[54])/4 - (89*t[60])/12 - 
       (67*t[61])/4 + (17*t[62])/24 - (73*t[63])/24 + (533*t[64])/24 - 
       (313*t[65])/36 - (223*t[66])/36 + t[69] + t[73] + 3*t[75] - t[79] - 
       (19*t[83])/6 - (29*t[84])/4 - (29*t[85])/4 - t[86]/3 - (43*t[87])/12 - 
       (43*t[88])/24 - (67*t[89])/8 + 5*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-41*t[4])/12 + t[5]/24 - t[7]/12 - t[8]/12 - t[9]/24 - 
       (191*t[10])/24 + (17*t[11])/12 + (107*t[12])/12 + (73*t[13])/36 - 
       (239*t[14])/36 + (113*t[15])/48 - t[36] - (11*t[49])/24 + 
       (35*t[51])/8 + (47*t[53])/24 + (11*t[54])/2 - (35*t[60])/12 - 
       (71*t[61])/4 + (19*t[62])/12 - (71*t[63])/12 + (449*t[64])/24 - 
       (167*t[65])/18 - (95*t[66])/18 + t[69] + t[73] + t[75] - t[79] - 
       (13*t[83])/6 - (11*t[84])/2 - (11*t[85])/2 - t[86]/3 - (97*t[87])/12 - 
       (97*t[88])/24 - (47*t[89])/8 + 5*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[v, w, u]*
      (t[1]/3 + t[3] - (7*t[4])/6 + (11*t[5])/12 - 2*t[6] + (2*t[7])/3 + 
       (2*t[8])/3 - (23*t[9])/12 + (67*t[10])/24 - (5*t[11])/4 - 
       (23*t[12])/24 + (5*t[13])/36 + (43*t[14])/72 - (25*t[15])/12 - 
       t[26]/3 - t[28] - t[31] + t[35] + (5*t[36])/3 + t[38]/3 - t[39] + 
       t[40] - t[45] - t[46]/2 + 2*t[47] - t[48]/2 + t[49]/24 + t[50]/2 - 
       (9*t[51])/4 - t[52]/2 - (25*t[53])/24 - (35*t[54])/12 - t[59]/6 - 
       (17*t[60])/12 - (29*t[61])/12 - (3*t[62])/4 + (11*t[63])/4 + 
       (79*t[64])/24 + (371*t[65])/36 + (301*t[66])/36 - t[69] - 
       (5*t[74])/3 + 5*t[75] - t[77] - t[78] + 2*t[80] - (2*t[81])/3 + 
       (2*t[82])/3 - (19*t[83])/6 + (17*t[84])/12 + (29*t[85])/12 + 
       (26*t[86])/3 + (40*t[87])/3 + (25*t[88])/4 + (79*t[89])/24 + 
       (4*t[95])/3 + 5*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*((-79*t[1])/72 + (5*t[2])/4 - 
       (21*t[3])/8 - (943*t[4])/144 + (1811*t[5])/288 + (407*t[6])/48 + 
       (109*t[7])/144 + (2305*t[8])/144 - (1343*t[9])/288 - 
       (6971*t[10])/576 + (1339*t[11])/288 + (4459*t[12])/576 + 
       (6841*t[13])/864 - (10517*t[14])/1152 + (1469*t[15])/288 - t[25]/2 + 
       (169*t[26])/72 - t[27]/2 - t[34]/2 + (131*t[36])/36 - (97*t[38])/72 - 
       t[40] + t[41]/4 - t[42]/4 + (89*t[46])/16 + (311*t[48])/48 - 
       (7181*t[49])/576 + (35*t[50])/48 - (211*t[51])/384 + (85*t[52])/48 + 
       (5465*t[53])/576 - (11*t[54])/144 + t[58]/2 + (97*t[59])/144 - 
       (2051*t[60])/288 + (1295*t[61])/288 + (13801*t[62])/576 - 
       (11321*t[63])/576 - (1181*t[64])/192 + (2927*t[65])/216 + 
       (773*t[66])/36 + t[69]/6 - (41*t[73])/12 + (7*t[74])/9 - 
       (47*t[75])/12 - 5*t[76] + 2*t[78] + (65*t[79])/12 - 2*t[80] - 
       (43*t[81])/18 + (43*t[82])/18 + (29*t[83])/9 + (38*t[84])/9 - 
       (121*t[85])/36 - (629*t[86])/36 + (755*t[87])/48 + (2375*t[88])/288 + 
       (9623*t[89])/576 - (14*t[95])/9 - t[97]/2 - 24*t[98] + 24*t[99] + 
       (61*t[100])/12) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((7*t[1])/6 + (83*t[4])/48 + t[5]/96 - t[7]/48 - 
       t[8]/48 - t[9]/96 - (49*t[10])/32 + (29*t[11])/16 + (31*t[12])/12 + 
       (569*t[13])/144 - (1165*t[14])/576 - (61*t[15])/576 - (7*t[26])/6 - 
       (17*t[36])/12 + (7*t[38])/6 + (5*t[46])/48 - (5*t[49])/96 + 
       (37*t[51])/64 - (5*t[53])/96 + (25*t[54])/48 - (7*t[59])/12 + 
       (97*t[60])/16 - (167*t[61])/16 + (277*t[62])/96 - (923*t[63])/96 + 
       (197*t[64])/32 - (443*t[65])/144 - (853*t[66])/144 - (5*t[69])/6 + 
       (17*t[73])/12 + (17*t[75])/4 - (17*t[79])/12 - (23*t[83])/3 - 
       (25*t[84])/48 - (25*t[85])/48 - t[86]/12 - (133*t[87])/48 - 
       (229*t[88])/96 - (11*t[89])/96 + (21*t[100])/4) + 
     B6[v, w, u]*HPL[{1}, 1 - u]*(t[1] + t[3]/2 + t[5] - (3*t[6])/8 - 
       t[7]/2 - (3*t[8])/2 - (3*t[9])/2 + (5*t[10])/2 - (7*t[11])/8 - 
       (11*t[12])/4 - (13*t[13])/6 + (5*t[14])/12 - (5*t[15])/12 - t[25] + 
       t[38] + t[46]/2 - (3*t[48])/8 - t[49]/2 + (5*t[50])/8 - (5*t[51])/8 - 
       (5*t[52])/8 - t[53]/2 - (5*t[54])/8 - t[59]/2 - t[60]/4 - 
       (15*t[61])/4 - (9*t[62])/8 + (13*t[63])/8 - (23*t[64])/8 - 
       (11*t[65])/6 + 3*t[66] + t[73] - t[75] - t[81]/2 + t[82]/2 - t[84]/2 - 
       t[85]/4 + t[87]/4 + t[88]/8 - (13*t[89])/8 + 6*t[100]) + 
     B6[u, w, v]*HPL[{1}, 1 - v]*(t[4] + t[5]/8 - t[9]/8 + t[10] - t[11]/4 - 
       (5*t[12])/8 - t[13]/6 + t[14]/6 - (7*t[15])/48 - t[36] - t[46]/2 + 
       t[49]/2 + t[51]/8 - t[53]/2 - t[61]/2 - (3*t[62])/4 - t[63]/4 + 
       (3*t[64])/4 + t[65]/6 - t[66]/2 + t[73] + t[74] - t[75] + t[89]/4 + 
       6*t[100]) + B5[v, w, u]*HPL[{1}, 1 - u]*(t[1] + t[3]/2 + t[4] + 
       t[5]/4 - (3*t[6])/4 - t[7]/2 - (3*t[8])/2 - (3*t[9])/4 + (3*t[10])/2 - 
       (5*t[11])/4 - (13*t[12])/4 - (3*t[13])/4 - (4*t[14])/3 - 
       (7*t[15])/24 - t[25] + t[38] - (3*t[48])/4 + t[50]/4 - t[52]/4 - 
       t[53] - t[54]/4 - t[59]/2 + t[60]/2 - 4*t[61] + (7*t[62])/4 + 
       t[63]/4 - t[64]/4 - (5*t[65])/6 + (19*t[66])/6 + t[83] - t[84]/2 + 
       t[85]/2 - t[87]/2 - t[88]/4 + t[89]/4 + 6*t[100]) + 
     B5[u, v, w]*HPL[{1}, 1 - v]*(t[3]/2 + t[5]/4 - (3*t[6])/4 + t[7]/2 - 
       t[8]/2 - (3*t[9])/4 + (3*t[10])/2 - (5*t[11])/4 - t[12]/4 - t[13]/12 - 
       (5*t[14])/3 - (7*t[15])/24 - (3*t[48])/4 + t[50]/4 - t[52]/4 - 
       t[54]/4 - t[60]/2 - (11*t[61])/2 - (7*t[62])/4 - (9*t[63])/4 + 
       (9*t[64])/4 - (5*t[65])/6 + (11*t[66])/6 - t[72] + t[83] - t[84]/2 + 
       t[85]/2 + 4*t[86] + t[87]/2 + t[88]/4 + (3*t[89])/4 + 6*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (-t[1] + t[3]/2 - (47*t[4])/2 + (7*t[5])/4 + (5*t[7])/4 + t[8]/4 - 
       (9*t[9])/4 - (29*t[10])/4 - (17*t[11])/2 + (61*t[12])/4 - 
       (41*t[13])/12 - (259*t[14])/24 + (37*t[15])/8 - t[25] + 2*t[26] + 
       3*t[37] - t[38] - (5*t[46])/2 - (7*t[49])/2 + t[50] + (53*t[51])/8 - 
       t[52] + (21*t[53])/2 + 3*t[54] + (3*t[59])/2 - (53*t[60])/2 - 
       (15*t[61])/2 + (43*t[62])/4 + (13*t[63])/4 + 35*t[64] + 
       (133*t[65])/6 + (65*t[66])/2 + 2*t[69] - t[70] + t[71] + 2*t[73] - 
       3*t[74] + 4*t[75] - 3*t[79] - t[81] + t[82] - (9*t[83])/2 - 
       (9*t[84])/2 - 5*t[85] + 7*t[86] + (29*t[87])/2 + (29*t[88])/4 + 
       (3*t[89])/4 + 6*t[100]) + B5[u, w, v]*HPL[{1}, 1 - v]*
      (t[4] + t[5]/2 - t[9]/2 + t[10]/2 - t[11] - t[12] + t[13]/3 - 
       t[14]/12 - t[15]/12 + t[49]/2 - t[51]/4 - t[53]/2 - 2*t[61] - t[63] + 
       (2*t[65])/3 + t[83] + t[89] + 6*t[100]) + B6[w, u, v]*HPL[{1}, 1 - u]*
      ((-3*t[4])/2 + t[5]/8 - t[6]/2 - t[9]/8 - t[10]/4 - (5*t[11])/4 + 
       t[12]/8 + (2*t[13])/3 - (19*t[14])/8 + (5*t[15])/48 + t[36] + 
       t[46]/2 - t[49]/4 - t[51]/4 + t[53]/4 - t[54]/2 - (3*t[60])/2 - 
       2*t[61] + t[62]/2 + t[63]/2 + 3*t[64] + (5*t[65])/3 + t[66] - t[72] + 
       t[73] - t[74] - t[75] - t[83] - t[84]/2 + t[85]/2 + (3*t[87])/2 + 
       (3*t[88])/4 + t[89] + 6*t[100]) + B5[v, u, w]*HPL[{1}, 1 - u]*
      (-t[1]/2 + t[3]/2 + t[5]/4 - t[6]/4 - (3*t[7])/2 - (5*t[8])/2 - 
       (3*t[9])/4 - (3*t[10])/2 - (7*t[11])/4 + (3*t[12])/4 - t[13]/12 - 
       (3*t[14])/2 - (11*t[15])/24 + t[31] - t[48]/4 - t[50]/4 + t[52]/4 + 
       t[54]/4 - t[59]/2 - t[60]/2 - 6*t[61] + (23*t[62])/4 + t[63]/4 - 
       (9*t[64])/4 - t[65]/6 + (11*t[66])/6 - t[72] - t[83] - t[84]/2 + 
       t[85]/2 - 4*t[86] - t[87]/2 - t[88]/4 + (5*t[89])/4 + 6*t[100]) + 
     B6[w, v, u]*HPL[{1}, 1 - v]*(t[3]/2 - (3*t[4])/2 + t[5] - (19*t[6])/8 + 
       t[7]/2 - (5*t[8])/2 - (3*t[9])/2 - (5*t[10])/4 - (7*t[11])/8 + 
       t[12]/2 - (37*t[14])/8 + (2*t[15])/3 + t[27] + t[46]/2 - (3*t[48])/8 - 
       (3*t[49])/4 + (5*t[50])/8 - (5*t[52])/8 + (3*t[53])/4 - (9*t[54])/8 - 
       (19*t[60])/4 - (19*t[61])/4 + (21*t[62])/8 - (9*t[63])/8 + 
       (39*t[64])/8 + (10*t[65])/3 + (35*t[66])/6 + t[73] - t[75] - t[81]/2 + 
       t[82]/2 - t[83] - t[84] + t[85]/4 + (11*t[87])/4 + (11*t[88])/8 + 
       (13*t[89])/8 + 6*t[100]) + D35[u, v, w]*(-2*t[4] - t[5]/4 - 
       (15*t[6])/8 + t[9]/4 - (5*t[10])/2 - (3*t[11])/8 - (5*t[12])/2 - 
       (5*t[13])/4 - (17*t[14])/12 - (23*t[15])/24 - t[25] + t[26] + 
       2*t[27] + t[39] - t[46]/2 - (3*t[48])/8 + 2*t[49] - (3*t[50])/8 - 
       (11*t[51])/8 + (3*t[52])/8 - 2*t[53] - (29*t[54])/8 + (17*t[60])/4 - 
       10*t[61] + (31*t[62])/8 - (27*t[63])/8 - (13*t[64])/2 - (11*t[65])/6 + 
       (11*t[66])/6 - t[68] - t[81]/2 + (5*t[82])/2 + (19*t[85])/4 - 
       (19*t[87])/4 - (19*t[88])/8 + (7*t[89])/2 + 6*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[u, v, w]*
      ((-7*t[1])/3 - t[3] + 2*t[4] - t[5]/8 + 2*t[6] - (9*t[7])/4 - 
       (9*t[8])/4 + (9*t[9])/8 - (39*t[10])/8 + (19*t[11])/6 + 10*t[12] + 
       (185*t[13])/36 - (1177*t[14])/144 + (169*t[15])/48 + (7*t[26])/3 + 
       t[28] + t[31] - t[35] - (8*t[36])/3 - (7*t[38])/3 + t[39] - t[40] + 
       t[45] + t[46]/2 - 2*t[47] + t[48]/2 - (19*t[49])/8 - t[50]/2 + 
       (79*t[51])/16 + t[52]/2 + (27*t[53])/8 + (25*t[54])/6 + (7*t[59])/6 + 
       (7*t[60])/4 - (169*t[61])/12 + (245*t[62])/24 - (373*t[63])/24 + 
       (31*t[64])/24 - (59*t[65])/6 - (169*t[66])/18 + 3*t[69] + t[73] + 
       (5*t[74])/3 + t[77] + t[78] - t[79] - 2*t[80] + (2*t[81])/3 - 
       (2*t[82])/3 + t[83]/2 - (8*t[84])/3 - (11*t[85])/3 - 15*t[86] - 
       (41*t[87])/3 - (71*t[88])/12 - (31*t[89])/24 - (4*t[95])/3 + 
       6*t[100]) + HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u]*
      (-t[1]/4 - (5*t[3])/4 - (71*t[4])/8 - (35*t[5])/8 - (7*t[6])/2 + 
       (15*t[7])/2 - (5*t[8])/2 + (107*t[9])/8 + (65*t[10])/16 - 
       (13*t[11])/4 + (43*t[12])/16 - (169*t[13])/9 + (1273*t[14])/96 - 
       (21*t[15])/8 - 2*t[19] - 2*t[20] - 2*t[21] + 2*t[22] + 2*t[23] + 
       t[26] + 2*t[27] - t[29] + 3*t[30] + 2*t[31] + t[32] - t[33] - 
       t[34]/2 + t[36] + 3*t[37] - t[38]/2 + 2*t[39] - (5*t[40])/2 - 
       (3*t[41])/4 + (3*t[42])/4 + t[43]/2 + t[45] + t[48]/4 + 
       (59*t[49])/16 + (5*t[50])/4 - (97*t[51])/32 + t[52]/4 + 
       (61*t[53])/16 + (23*t[54])/8 - (317*t[60])/8 - (25*t[61])/8 - 
       (27*t[62])/16 + (499*t[63])/16 + (75*t[64])/16 - (213*t[65])/8 - 
       (131*t[66])/8 - 2*t[70] + 2*t[71] - 6*t[72] - t[74] + 6*t[76] + 
       t[77] - 12*t[78] - 10*t[80] - t[81]/2 - (3*t[82])/2 + t[83] - 
       (107*t[84])/8 - (5*t[85])/8 - 2*t[86] - (11*t[87])/8 - 
       (155*t[88])/16 - (187*t[89])/16 + 2*t[95] + 6*t[96] + 36*t[98] - 
       24*t[99] + 6*t[100]) + HPL[{0, 0, 1}, 1 - u]*Omega2[w, u, v]*
      ((-13*t[1])/4 + (5*t[2])/2 + (19*t[3])/4 - (167*t[4])/8 - t[5]/2 - 
       (7*t[6])/8 - (23*t[7])/4 + (5*t[8])/4 - (33*t[9])/4 - (33*t[10])/16 - 
       (227*t[11])/8 + (75*t[12])/16 - (559*t[13])/36 - (33*t[14])/32 - 
       (115*t[15])/48 - 2*t[19] + 2*t[20] + 2*t[21] - t[22] - 2*t[23] - 
       3*t[25] + 6*t[26] + t[27] - t[29] + 3*t[30] + 2*t[31] - t[32] + 
       t[33] + t[34]/2 + t[36] + t[37] - (7*t[38])/2 - t[39] + (3*t[40])/2 + 
       t[41]/4 - t[42]/4 + t[43]/2 - t[45] + t[46] + (29*t[48])/8 + 
       (29*t[49])/16 - (27*t[50])/8 - (81*t[51])/32 + (31*t[52])/8 + 
       (43*t[53])/16 + (25*t[54])/2 + t[59] - (285*t[60])/8 - (159*t[61])/8 + 
       (355*t[62])/16 + (677*t[63])/16 + (109*t[64])/16 + (23*t[65])/24 + 
       (83*t[66])/8 - 2*t[70] + 2*t[71] - 4*t[72] - t[74] + 5*t[76] - 
       2*t[77] - 9*t[78] + 10*t[80] - t[81]/2 + (7*t[82])/2 - (93*t[84])/8 + 
       (61*t[85])/8 - 4*t[86] - (49*t[87])/8 - (201*t[88])/16 - 
       (151*t[89])/16 + 2*t[95] + 2*t[96] - t[97] + 36*t[98] - 24*t[99] + 
       6*t[100]) + B6[u, v, w]*HPL[{1}, 1 - v]*(t[3]/2 + (15*t[5])/8 - 
       (3*t[6])/8 - t[7] - 2*t[8] - (19*t[9])/8 + 3*t[10] - (21*t[11])/8 - 
       (9*t[12])/8 - t[13]/3 - (17*t[14])/6 + (11*t[15])/48 + t[28] - 
       2*t[35] + t[39] - t[40] - (3*t[48])/8 + (5*t[50])/8 - (5*t[52])/8 - 
       (5*t[54])/8 - (9*t[60])/4 - (31*t[61])/4 + (21*t[62])/8 - 
       (9*t[63])/8 - (13*t[64])/8 + (7*t[65])/3 + (41*t[66])/6 - t[72] + 
       t[73] - t[75] + t[76] + t[77] - t[78] + 2*t[79] - t[81]/2 + t[82]/2 - 
       t[84]/2 - t[85]/4 - 2*t[86] + (5*t[87])/4 + (5*t[88])/8 + 
       (17*t[89])/8 + 12*t[98] - 12*t[99] + 6*t[100]) + 
     B6[v, u, w]*HPL[{1}, 1 - u]*(-t[1]/2 + t[3]/2 - (15*t[5])/8 + 
       (3*t[6])/8 - t[7]/2 + (5*t[8])/2 + (11*t[9])/8 - (11*t[10])/2 - 
       (3*t[11])/8 + (17*t[12])/8 + (19*t[13])/18 - (11*t[14])/6 - 
       (33*t[15])/16 - 2*t[45] + 4*t[47] + (3*t[48])/8 - (13*t[50])/8 + 
       (13*t[52])/8 + (13*t[54])/8 - t[59]/2 - (7*t[60])/4 - (15*t[61])/4 + 
       (7*t[62])/8 - (35*t[63])/8 + (89*t[64])/8 + (4*t[65])/3 - 
       (23*t[66])/6 - t[72] + t[73] - t[75] + t[76] - t[78] + 4*t[80] + 
       t[81]/2 - t[82]/2 - t[83] - t[84]/2 + (5*t[85])/4 + 4*t[86] + 
       (3*t[87])/4 + (3*t[88])/8 + (19*t[89])/8 + 12*t[98] - 12*t[99] + 
       6*t[100]) + D31[u, v, w]*(-t[3]/2 + t[4] - t[5] + t[6]/2 + t[7]/2 + 
       (3*t[8])/2 + t[9] + 4*t[10] - t[11] - t[12]/2 - (59*t[13])/36 + 
       (3*t[14])/4 + t[15]/12 + t[49]/2 - t[51]/4 - t[53]/2 + t[54] + t[60] + 
       3*t[61] - (7*t[62])/2 + (7*t[63])/2 + t[64]/2 - (8*t[65])/3 + t[66] - 
       (3*t[76])/2 + (3*t[78])/2 - 4*t[80] - t[84] - t[85] - (5*t[89])/2 - 
       12*t[98] + 12*t[99] + 6*t[100]) + D31[v, w, u]*
      (t[3]/2 + (11*t[5])/4 - (3*t[6])/4 - (5*t[7])/2 + (5*t[8])/2 - 
       (19*t[9])/4 + t[10] - (9*t[11])/4 - (3*t[12])/4 - (7*t[13])/4 - 
       (41*t[14])/12 + (29*t[15])/24 + (5*t[48])/4 - t[49]/2 + t[50]/4 + 
       t[51]/4 - t[52]/4 - t[53]/2 + (3*t[54])/4 - (11*t[60])/2 - 
       (7*t[61])/2 + (7*t[62])/4 + (17*t[63])/4 + (29*t[64])/4 + t[65]/3 + 
       10*t[66] - (5*t[76])/2 + (5*t[78])/2 - t[81] + 2*t[82] - 2*t[84] - 
       (5*t[85])/2 + (9*t[87])/2 + (9*t[88])/4 - (5*t[89])/4 - 12*t[98] + 
       12*t[99] + 6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((13*t[1])/6 + t[3]/3 - 
       (83*t[4])/12 - (181*t[5])/48 - (9*t[6])/4 + (23*t[7])/8 - 
       (7*t[8])/24 + (21*t[9])/16 + (53*t[10])/16 - (53*t[11])/24 + 
       (41*t[12])/24 - (355*t[13])/36 - (245*t[14])/288 - (37*t[15])/288 - 
       (7*t[25])/6 - t[26] + t[27]/2 - t[28]/2 - t[31]/2 + t[35] - 
       (5*t[36])/2 + (3*t[37])/2 + (13*t[38])/6 - t[39]/2 + t[40]/2 - t[45] - 
       6*t[46] + 2*t[47] - (11*t[48])/8 + (529*t[49])/48 + (31*t[50])/24 + 
       (577*t[51])/96 - (31*t[52])/24 + (35*t[53])/48 + (7*t[54])/12 + 
       t[59]/2 + (7*t[60])/8 - (179*t[61])/12 - (63*t[62])/8 - 
       (89*t[63])/24 + (265*t[64])/12 - (11*t[65])/12 + (97*t[66])/6 - 
       t[69] - t[72]/2 + (7*t[73])/2 - (3*t[74])/2 + 11*t[75] - t[77]/2 - 
       (11*t[79])/2 + (3*t[80])/2 - t[81]/2 - (37*t[83])/3 - (71*t[84])/24 - 
       (43*t[85])/24 + (119*t[86])/6 - (27*t[87])/4 - (17*t[88])/8 - 
       (143*t[89])/16 + (25*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(t[1]/2 + (3*t[3])/4 + 
       (119*t[4])/12 + (49*t[5])/12 + (33*t[6])/16 - (37*t[7])/24 - 
       (13*t[8])/24 - (65*t[9])/24 - (47*t[10])/48 + (115*t[11])/48 + 
       (427*t[12])/48 + (131*t[13])/18 - (535*t[14])/144 + t[15]/2 + 
       t[25]/2 - t[26] + t[27]/2 + t[28]/2 + t[31]/2 - t[35] - 3*t[36] + 
       t[38]/2 + t[39]/2 - t[40]/2 + t[45] - 2*t[47] + (19*t[48])/16 + 
       (37*t[49])/48 - (5*t[50])/16 + t[51] + (5*t[52])/16 - (49*t[53])/48 + 
       (27*t[54])/16 - t[59]/4 + (209*t[60])/12 - (41*t[61])/2 + 
       (44*t[62])/3 - (70*t[63])/3 - (419*t[64])/24 - (389*t[65])/36 - 
       (98*t[66])/9 - t[69]/2 - t[72]/2 + (5*t[73])/2 + t[74] + 11*t[75] + 
       t[77]/2 - t[79]/2 - (3*t[80])/2 - (3*t[81])/4 + (9*t[82])/4 - 
       (193*t[83])/12 - (3*t[84])/8 - (9*t[85])/4 - (73*t[86])/6 - 
       (247*t[87])/24 - (175*t[88])/48 - (21*t[89])/4 + (25*t[100])/4) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      ((-95*t[1])/24 - (7*t[2])/8 + (37*t[3])/12 + (227*t[4])/24 + 
       (97*t[5])/6 + (61*t[6])/32 + (141*t[7])/16 + (871*t[8])/48 - 
       (141*t[9])/8 - (489*t[10])/16 + (2527*t[11])/96 + (305*t[12])/24 + 
       (1873*t[13])/72 - (653*t[14])/72 + (227*t[15])/48 + (23*t[25])/6 + 
       t[26]/2 - (7*t[27])/4 - 4*t[28] - t[30] - (7*t[31])/2 - t[34]/4 + 
       4*t[35] + t[36]/2 - (7*t[37])/4 - (49*t[38])/12 - 4*t[39] + 
       (5*t[40])/2 + t[41]/8 - t[42]/8 - t[43]/2 + 2*t[44] - t[45] - 
       (21*t[46])/8 + 2*t[47] + (97*t[48])/32 - (413*t[49])/48 - 
       (341*t[50])/96 + (281*t[51])/48 + (77*t[52])/96 + (83*t[53])/48 - 
       (361*t[54])/96 + t[58]/4 + (5*t[59])/2 + (581*t[60])/16 + 
       (419*t[61])/24 - (653*t[62])/32 - (5729*t[63])/96 + (1009*t[64])/48 + 
       (43*t[65])/48 + (205*t[66])/48 + t[69]/2 + 2*t[70] - 2*t[71] + 
       (5*t[72])/2 - (13*t[73])/4 + (11*t[74])/4 + t[75]/4 - (15*t[76])/2 - 
       3*t[77] + (5*t[78])/4 + t[79] + (3*t[80])/2 - (103*t[81])/8 + 
       (53*t[82])/8 - (19*t[83])/3 + (407*t[84])/48 - (31*t[85])/6 + 
       (64*t[86])/3 + (31*t[87])/16 + (351*t[88])/32 + (241*t[89])/32 - 
       5*t[95] - 2*t[96] + (7*t[97])/4 - 42*t[98] + 37*t[99] + 
       (25*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-307*t[4])/12 - t[5]/6 + t[7]/3 + t[8]/3 + t[9]/6 - (853*t[10])/24 + 
       (4*t[11])/3 + (563*t[12])/24 - (13*t[13])/36 - (3547*t[14])/144 + 
       (251*t[15])/24 - 2*t[36] - (79*t[49])/24 + (309*t[51])/16 + 
       (259*t[53])/24 + (103*t[54])/4 - (475*t[60])/12 - (185*t[61])/4 - 
       (35*t[62])/24 - (125*t[63])/24 + (1891*t[64])/24 - (833*t[65])/36 - 
       (479*t[66])/36 + 5*t[69] + 2*t[73] - 2*t[75] - 2*t[79] + 
       (43*t[83])/6 - (103*t[84])/4 - (103*t[85])/4 + (4*t[86])/3 - 
       (185*t[87])/12 - (185*t[88])/24 - (235*t[89])/8 + 7*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      (-t[1]/3 + (7*t[3])/12 - (29*t[4])/12 + (25*t[5])/24 - t[6]/2 - t[7] - 
       (13*t[8])/6 - (13*t[9])/8 + (131*t[10])/8 - (175*t[11])/12 - 
       (19*t[12])/6 - (931*t[13])/72 + (425*t[14])/144 + (211*t[15])/144 - 
       (2*t[25])/3 + t[26] + t[37] - t[38]/3 - (15*t[46])/2 - t[48]/2 + 
       (329*t[49])/24 + (2*t[50])/3 + (179*t[51])/48 - (2*t[52])/3 - 
       (209*t[53])/24 + (23*t[54])/6 + (7*t[59])/6 - (55*t[60])/4 + 
       (17*t[61])/6 + t[62]/24 + (859*t[63])/24 - (137*t[64])/12 + 
       (7*t[65])/12 + (229*t[66])/12 + 2*t[69] - t[70] + t[71] + t[73] - 
       t[74] + t[75] - t[79] - t[81]/2 + t[82]/2 - (5*t[83])/6 - 
       (61*t[84])/12 - (14*t[85])/3 - (5*t[86])/3 - (39*t[87])/4 - 
       (39*t[88])/8 - (95*t[89])/8 + 7*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((37*t[1])/4 - (13*t[2])/2 - t[3]/12 + (2167*t[4])/48 + (587*t[5])/48 - 
       (409*t[6])/16 - (17*t[7])/12 - (35*t[8])/3 - (121*t[9])/48 - 
       (239*t[10])/96 + (3137*t[11])/48 - (451*t[12])/32 + (5393*t[13])/144 - 
       (4243*t[14])/576 - (140*t[15])/27 + (2*t[25])/3 - (65*t[26])/6 + 
       (5*t[28])/3 - (5*t[30])/6 - (11*t[31])/6 - t[34] - (4*t[35])/3 - 
       (8*t[36])/3 + (29*t[37])/6 + (61*t[38])/6 + t[39]/2 - t[40]/2 + 
       t[41]/2 - t[42]/2 - (5*t[43])/12 - (13*t[44])/3 - (17*t[45])/6 + 
       (23*t[46])/6 + (17*t[47])/3 - (287*t[48])/48 - (409*t[49])/96 - 
       (431*t[50])/48 + (141*t[51])/64 + (21*t[52])/16 + (85*t[53])/96 - 
       (283*t[54])/12 - t[58] - (10*t[59])/3 + (2969*t[60])/48 - 
       (103*t[61])/48 - (4753*t[62])/96 - (2949*t[63])/32 - (1585*t[64])/96 - 
       (7055*t[65])/144 - (13081*t[66])/144 - t[69] + (5*t[70])/3 - 
       (5*t[71])/3 + (17*t[72])/3 - (11*t[73])/3 + (13*t[74])/3 + 
       (14*t[75])/3 + (59*t[76])/6 + (13*t[77])/2 - 18*t[78] - 4*t[79] + 
       19*t[80] + (14*t[81])/3 - t[82]/2 - t[83]/6 + (281*t[84])/48 - 
       (29*t[85])/16 + (16*t[86])/3 - (469*t[87])/16 - (245*t[88])/32 + 
       (275*t[89])/96 - (5*t[95])/3 + (16*t[96])/3 + (16*t[97])/3 + 
       42*t[98] - 56*t[99] + 7*t[100]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - v]^2*((11*t[1])/12 - (2*t[2])/3 - (27*t[3])/16 - 
       (227*t[4])/192 + (389*t[5])/96 + (63*t[6])/16 + (11*t[7])/6 + 
       (109*t[8])/12 - (313*t[9])/96 + (1919*t[10])/384 + 2*t[11] + 
       (803*t[12])/384 - (7781*t[13])/1728 + (12589*t[14])/2304 + 
       (1745*t[15])/1152 - t[19]/2 + (5*t[26])/12 - t[27]/6 + t[29]/2 + 
       t[30]/4 - t[31]/12 + t[32]/2 - t[33]/2 - (5*t[34])/6 - t[35]/2 - 
       (25*t[36])/12 - (5*t[37])/24 + t[38]/24 + (3*t[39])/4 - 
       (11*t[40])/12 + (5*t[41])/12 - (5*t[42])/12 + t[43]/8 + (5*t[45])/12 - 
       (11*t[46])/12 - t[47]/3 + (37*t[48])/16 + (1505*t[49])/384 - 
       (13*t[50])/16 - (127*t[51])/256 + (21*t[52])/16 - (505*t[53])/384 + 
       (541*t[54])/192 + t[58]/6 + (7*t[59])/12 - (581*t[60])/64 + 
       (1627*t[61])/192 - (3847*t[62])/384 + (2455*t[63])/384 + 
       (1757*t[64])/128 - (8077*t[65])/576 - (2219*t[66])/576 + t[69] - 
       (2*t[70])/3 + (2*t[71])/3 + t[72]/2 - (3*t[73])/2 + (25*t[75])/6 + 
       (11*t[76])/12 + (7*t[77])/12 - (14*t[78])/3 + (5*t[79])/12 - t[80]/2 - 
       (25*t[81])/12 + (4*t[82])/3 - (7*t[83])/3 - (1561*t[84])/192 - 
       (675*t[85])/64 - (21*t[86])/4 + (137*t[87])/192 - (45*t[88])/128 - 
       (2173*t[89])/384 + t[95]/2 + (13*t[96])/6 + t[97] + 2*t[98] - 
       3*t[99] + 7*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - u]*(8*t[1] + 3*t[3] - 42*t[4] + (125*t[5])/16 - 
       (37*t[6])/4 + (3*t[7])/4 - (37*t[8])/4 - (173*t[9])/16 + 
       (47*t[10])/2 - (175*t[11])/8 - (233*t[12])/16 - (257*t[13])/12 - 
       (41*t[14])/8 + (183*t[15])/32 - (7*t[16])/4 - (17*t[26])/2 + 2*t[27] + 
       (3*t[36])/2 + 8*t[38] + (9*t[46])/4 - (9*t[48])/4 + (47*t[49])/4 + 
       (15*t[50])/4 + (37*t[51])/16 - (15*t[52])/4 - (5*t[53])/4 + 
       (31*t[54])/2 - (35*t[59])/12 - 62*t[60] - 17*t[61] - (37*t[62])/8 + 
       (265*t[63])/4 + (437*t[64])/8 - (55*t[65])/6 + (92*t[66])/3 - 
       t[67]/4 - 9*t[69] + t[70] - t[71] - 2*t[72] - 3*t[73] - t[74]/2 + 
       7*t[75] + t[79] - 3*t[81] + 3*t[82] - (17*t[83])/2 - (97*t[84])/4 - 
       (83*t[85])/4 + 7*t[86] + (31*t[87])/2 + (13*t[88])/2 - (187*t[89])/8 + 
       4*t[95] + (15*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 
       1 - u]*(t[1]/3 + (2*t[3])/3 + (13*t[4])/6 + (13*t[5])/12 - 
       (37*t[6])/8 - (5*t[7])/4 - (31*t[8])/12 - (7*t[9])/4 + (51*t[10])/4 + 
       (41*t[11])/24 + (59*t[12])/12 - (259*t[13])/36 - (401*t[14])/36 + 
       (85*t[15])/72 - 4*t[19] - (4*t[25])/3 + t[26] + t[37] + t[38]/3 - 
       (11*t[46])/2 - (5*t[48])/8 + (119*t[49])/12 + (17*t[50])/24 + 
       (61*t[51])/12 - (17*t[52])/24 - (41*t[53])/12 - (83*t[54])/24 + 
       (9*t[59])/2 + (7*t[60])/4 - (73*t[61])/3 + (83*t[62])/8 + 
       (95*t[63])/24 + (59*t[64])/12 - (27*t[65])/4 + (35*t[66])/4 + 
       8*t[69] + 3*t[71] + t[73] - t[74] + 5*t[75] - t[79] - t[81]/2 + 
       t[82]/2 - (20*t[83])/3 - (71*t[84])/12 + (8*t[85])/3 - (7*t[86])/3 - 
       (41*t[87])/4 - (41*t[88])/8 - (57*t[89])/8 + 8*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      (t[1]/3 + (2*t[3])/3 + (19*t[4])/6 + (13*t[5])/12 - (5*t[6])/8 - 
       (3*t[7])/4 - (25*t[8])/12 - (7*t[9])/4 + (27*t[10])/4 - 
       (127*t[11])/24 - (5*t[12])/6 - (217*t[13])/36 - (97*t[14])/72 + 
       (43*t[15])/72 - (4*t[25])/3 + t[26] + t[37] + t[38]/3 - (9*t[46])/2 - 
       (5*t[48])/8 + (23*t[49])/3 + (17*t[50])/24 + (83*t[51])/24 - 
       (17*t[52])/24 - (19*t[53])/6 - (5*t[54])/24 + t[59] - t[60]/4 - 
       (97*t[61])/12 + (33*t[62])/8 + (125*t[63])/24 - (269*t[64])/24 - 
       (3*t[65])/2 + (44*t[66])/3 + 2*t[69] - t[70] + t[71] + t[73] - t[74] + 
       3*t[75] - t[79] - t[81]/2 + t[82]/2 - (19*t[83])/6 - (7*t[84])/6 - 
       (7*t[85])/12 - t[86]/3 - (27*t[87])/4 - (27*t[88])/8 - (41*t[89])/8 + 
       8*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      (t[1]/3 + (2*t[3])/3 - (11*t[4])/6 + (13*t[5])/12 - (5*t[6])/8 - 
       (5*t[7])/4 - (31*t[8])/12 - (7*t[9])/4 + (27*t[10])/4 - 
       (151*t[11])/24 - (13*t[12])/12 - (211*t[13])/36 - (173*t[14])/36 + 
       (133*t[15])/72 - (4*t[25])/3 + t[26] + t[37] + t[38]/3 - 
       (11*t[46])/2 - (5*t[48])/8 + (95*t[49])/12 + (17*t[50])/24 + 
       (73*t[51])/12 - (17*t[52])/24 - (17*t[53])/12 + (13*t[54])/24 + 
       t[59]/2 - (9*t[60])/4 - (25*t[61])/3 + (67*t[62])/8 + (143*t[63])/24 - 
       (61*t[64])/12 + (31*t[65])/12 + (241*t[66])/12 + t[73] - t[74] + 
       5*t[75] - t[79] - t[81]/2 + t[82]/2 - (20*t[83])/3 - (23*t[84])/12 - 
       (4*t[85])/3 - (7*t[86])/3 - (25*t[87])/4 - (25*t[88])/8 - 
       (41*t[89])/8 + 8*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 
       1 - w]*(t[1]/3 + (2*t[3])/3 - (11*t[4])/6 + (13*t[5])/12 - 
       (5*t[6])/8 - (5*t[7])/4 - (31*t[8])/12 - (7*t[9])/4 + (27*t[10])/4 - 
       (151*t[11])/24 - (13*t[12])/12 - (211*t[13])/36 - (173*t[14])/36 + 
       (133*t[15])/72 - (4*t[25])/3 + t[26] + t[37] + t[38]/3 - 
       (11*t[46])/2 - (5*t[48])/8 + (95*t[49])/12 + (17*t[50])/24 + 
       (73*t[51])/12 - (17*t[52])/24 - (17*t[53])/12 + (13*t[54])/24 + 
       t[59]/2 - (9*t[60])/4 - (25*t[61])/3 + (67*t[62])/8 + (143*t[63])/24 - 
       (61*t[64])/12 + (31*t[65])/12 + (241*t[66])/12 + t[73] - t[74] + 
       5*t[75] - t[79] - t[81]/2 + t[82]/2 - (20*t[83])/3 - (23*t[84])/12 - 
       (4*t[85])/3 - (7*t[86])/3 - (25*t[87])/4 - (25*t[88])/8 - 
       (41*t[89])/8 + 8*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*(t[1]/3 + (2*t[3])/3 - (17*t[4])/6 + 
       (13*t[5])/12 - (5*t[6])/8 - (5*t[7])/4 - (31*t[8])/12 - (7*t[9])/4 + 
       (21*t[10])/4 - (151*t[11])/24 - (7*t[12])/12 - (223*t[13])/36 - 
       (61*t[14])/18 + (145*t[15])/72 - (4*t[25])/3 + t[26] + t[37] + 
       t[38]/3 - (7*t[46])/2 - (5*t[48])/8 + (89*t[49])/12 + (17*t[50])/24 + 
       (23*t[51])/6 - (17*t[52])/24 - (11*t[53])/12 + (37*t[54])/24 + 
       t[59]/2 - (13*t[60])/4 - (28*t[61])/3 + (71*t[62])/8 + 
       (107*t[63])/24 - (31*t[64])/12 + (11*t[65])/12 + (245*t[66])/12 + 
       t[73] - t[74] + 5*t[75] - t[79] - t[81]/2 + t[82]/2 - (20*t[83])/3 - 
       (35*t[84])/12 - (7*t[85])/3 - (7*t[86])/3 - (21*t[87])/4 - 
       (21*t[88])/8 - (37*t[89])/8 + 8*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*(t[1]/3 + (2*t[3])/3 - 
       (17*t[4])/6 + (13*t[5])/12 - (5*t[6])/8 - (5*t[7])/4 - (31*t[8])/12 - 
       (7*t[9])/4 + (21*t[10])/4 - (151*t[11])/24 - (7*t[12])/12 - 
       (223*t[13])/36 - (61*t[14])/18 + (145*t[15])/72 - (4*t[25])/3 + 
       t[26] + t[37] + t[38]/3 - (7*t[46])/2 - (5*t[48])/8 + (89*t[49])/12 + 
       (17*t[50])/24 + (23*t[51])/6 - (17*t[52])/24 - (11*t[53])/12 + 
       (37*t[54])/24 + t[59]/2 - (13*t[60])/4 - (28*t[61])/3 + (71*t[62])/8 + 
       (107*t[63])/24 - (31*t[64])/12 + (11*t[65])/12 + (245*t[66])/12 + 
       t[73] - t[74] + 5*t[75] - t[79] - t[81]/2 + t[82]/2 - (20*t[83])/3 - 
       (35*t[84])/12 - (7*t[85])/3 - (7*t[86])/3 - (21*t[87])/4 - 
       (21*t[88])/8 - (37*t[89])/8 + 8*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*(t[1]/3 + (2*t[3])/3 + (13*t[4])/6 + 
       (13*t[5])/12 + (11*t[6])/8 - (37*t[7])/4 + (65*t[8])/12 - (7*t[9])/4 + 
       (19*t[10])/4 + (137*t[11])/24 + (59*t[12])/12 + (221*t[13])/36 - 
       (89*t[14])/36 - (107*t[15])/72 - (4*t[25])/3 + t[26] + t[37] + 
       t[38]/3 - (11*t[46])/2 - (5*t[48])/8 + (23*t[49])/12 + (17*t[50])/24 + 
       (109*t[51])/12 - (17*t[52])/24 + (55*t[53])/12 - (83*t[54])/24 + 
       t[59]/2 + (71*t[60])/4 - (37*t[61])/3 + (19*t[62])/8 - 
       (481*t[63])/24 - (85*t[64])/12 + (47*t[65])/12 + (17*t[66])/12 + 
       t[73] - t[74] + 5*t[75] - t[79] - t[81]/2 + t[82]/2 - (20*t[83])/3 + 
       (73*t[84])/12 + (8*t[85])/3 - (7*t[86])/3 - (41*t[87])/4 - 
       (41*t[88])/8 - (25*t[89])/8 + 8*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*((11*t[4])/6 + (7*t[5])/24 - 
       (7*t[7])/12 - (7*t[8])/12 - (7*t[9])/24 - (19*t[10])/12 + 
       (11*t[11])/12 + (169*t[12])/24 + (65*t[13])/18 - (479*t[14])/144 + 
       (25*t[15])/48 - t[36] + t[49]/6 + (23*t[51])/16 - t[53]/6 + 
       (9*t[54])/4 + (16*t[60])/3 - (33*t[61])/2 + (119*t[62])/24 - 
       (199*t[63])/24 + (85*t[64])/12 - (259*t[65])/36 - (193*t[66])/36 + 
       t[73] + 5*t[75] - t[79] - (20*t[83])/3 - (9*t[84])/4 - (9*t[85])/4 - 
       (7*t[86])/3 - (16*t[87])/3 - (8*t[88])/3 - (3*t[89])/2 + 8*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((11*t[4])/6 + (7*t[5])/24 - (7*t[7])/12 - (7*t[8])/12 - (7*t[9])/24 - 
       (19*t[10])/12 + (11*t[11])/12 + (169*t[12])/24 + (65*t[13])/18 - 
       (479*t[14])/144 + (25*t[15])/48 - t[36] + t[49]/6 + (23*t[51])/16 - 
       t[53]/6 + (9*t[54])/4 + (16*t[60])/3 - (33*t[61])/2 + (119*t[62])/24 - 
       (199*t[63])/24 + (85*t[64])/12 - (259*t[65])/36 - (193*t[66])/36 + 
       t[73] + 5*t[75] - t[79] - (20*t[83])/3 - (9*t[84])/4 - (9*t[85])/4 - 
       (7*t[86])/3 - (16*t[87])/3 - (8*t[88])/3 - (3*t[89])/2 + 8*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((17*t[4])/6 + (7*t[5])/24 - (7*t[7])/12 - (7*t[8])/12 - (7*t[9])/24 - 
       (13*t[10])/12 + (35*t[11])/12 + (181*t[12])/24 + (95*t[13])/18 - 
       (635*t[14])/144 + (11*t[15])/16 - t[36] - t[49]/3 + (27*t[51])/16 + 
       t[53]/3 + (5*t[54])/4 + (19*t[60])/3 - (35*t[61])/2 + (107*t[62])/24 - 
       (283*t[63])/24 + (79*t[64])/12 - (223*t[65])/36 - (301*t[66])/36 + 
       t[73] + 5*t[75] - t[79] - (20*t[83])/3 - (5*t[84])/4 - (5*t[85])/4 - 
       (7*t[86])/3 - (19*t[87])/3 - (19*t[88])/6 - t[89] + 8*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((17*t[4])/6 + (7*t[5])/24 - (7*t[7])/12 - (7*t[8])/12 - (7*t[9])/24 - 
       (13*t[10])/12 + (35*t[11])/12 + (181*t[12])/24 + (95*t[13])/18 - 
       (635*t[14])/144 + (11*t[15])/16 - t[36] - t[49]/3 + (27*t[51])/16 + 
       t[53]/3 + (5*t[54])/4 + (19*t[60])/3 - (35*t[61])/2 + (107*t[62])/24 - 
       (283*t[63])/24 + (79*t[64])/12 - (223*t[65])/36 - (301*t[66])/36 + 
       t[73] + 5*t[75] - t[79] - (20*t[83])/3 - (5*t[84])/4 - (5*t[85])/4 - 
       (7*t[86])/3 - (19*t[87])/3 - (19*t[88])/6 - t[89] + 8*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((41*t[4])/6 + (7*t[5])/24 - 2*t[6] - (7*t[7])/12 - (7*t[8])/12 - 
       (7*t[9])/24 + (59*t[10])/12 + (83*t[11])/12 + (229*t[12])/24 + 
       (71*t[13])/18 - (1067*t[14])/144 + t[15]/48 - 4*t[19] - t[36] + 
       (5*t[49])/3 + (11*t[51])/16 - (5*t[53])/3 - (11*t[54])/4 + 2*t[59] + 
       (31*t[60])/3 - (47*t[61])/2 + (155*t[62])/24 - (331*t[63])/24 + 
       (55*t[64])/12 - (271*t[65])/36 - (301*t[66])/36 + 8*t[69] + t[73] + 
       5*t[75] - t[79] - (20*t[83])/3 - (5*t[84])/4 + (11*t[85])/4 - 
       (7*t[86])/3 - (31*t[87])/3 - (31*t[88])/6 + t[89] + 8*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((41*t[4])/6 + (7*t[5])/24 - (7*t[7])/12 - (7*t[8])/12 - (7*t[9])/24 - 
       (85*t[10])/12 + (131*t[11])/12 + (229*t[12])/24 + (215*t[13])/18 - 
       (683*t[14])/144 - (21*t[15])/16 - t[36] - (7*t[49])/3 + 
       (43*t[51])/16 + (7*t[53])/3 - (11*t[54])/4 + (55*t[60])/3 - 
       (43*t[61])/2 + (59*t[62])/24 - (619*t[63])/24 + (55*t[64])/12 - 
       (247*t[65])/36 - (733*t[66])/36 + t[73] + 5*t[75] - t[79] - 
       (20*t[83])/3 + (11*t[84])/4 + (11*t[85])/4 - (7*t[86])/3 - 
       (31*t[87])/3 - (31*t[88])/6 + t[89] + 8*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Ot[u, v, w]*(t[1]/6 - (247*t[4])/24 - 
       (5*t[5])/24 - t[6]/2 - (7*t[7])/12 - (7*t[8])/12 + (5*t[9])/24 - 
       (77*t[10])/24 - (127*t[11])/24 + (83*t[12])/12 - t[13]/18 - 
       (57*t[14])/8 + (113*t[15])/48 - t[26]/6 + t[36]/3 + t[38]/6 + 
       t[46]/2 - t[48]/2 - (41*t[49])/24 - t[50]/2 + 3*t[51] + t[52]/2 + 
       (77*t[53])/24 + (121*t[54])/24 - t[59]/12 - (73*t[60])/6 - 
       (71*t[61])/6 + (67*t[62])/6 - t[63]/12 + (139*t[64])/8 + 
       (739*t[65])/72 + (69*t[66])/8 + t[73] - (4*t[74])/3 + 5*t[75] - 
       t[79] + (2*t[81])/3 - (2*t[82])/3 - (20*t[83])/3 - (109*t[84])/24 - 
       (85*t[85])/24 - (7*t[86])/3 + (61*t[87])/8 + (131*t[88])/48 + 
       (4*t[89])/3 + (8*t[95])/3 + 8*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((25*t[1])/36 + 
       (673*t[2])/144 - (109*t[3])/72 - (10619*t[4])/576 - (199*t[5])/48 + 
       (13*t[6])/288 + (16*t[7])/3 + (17*t[8])/2 + (95*t[9])/24 - 
       (2503*t[10])/1152 - (1373*t[11])/72 + (2861*t[12])/1152 - 
       (28075*t[13])/1728 + (3745*t[14])/6912 + (191*t[15])/1152 - t[19] + 
       t[20] + t[21] - t[22] - t[23] - (25*t[25])/18 + (67*t[26])/36 + 
       (5*t[27])/9 + (7*t[28])/12 + (7*t[30])/3 + (19*t[31])/9 - 
       (13*t[34])/36 - (7*t[35])/6 + (23*t[36])/12 + (77*t[37])/36 + 
       t[38]/36 + (7*t[39])/36 - (47*t[40])/36 + (49*t[41])/72 - 
       (49*t[42])/72 + (2*t[43])/3 - (7*t[44])/12 - (49*t[45])/36 - 
       (11*t[46])/36 + (49*t[47])/18 + (275*t[48])/96 + (2473*t[49])/384 + 
       (17*t[50])/32 - (2389*t[51])/2304 + (229*t[52])/96 + (341*t[53])/128 + 
       (771*t[54])/64 + (5*t[58])/36 - (5*t[59])/9 - (24373*t[60])/576 - 
       (8441*t[61])/576 + (10853*t[62])/1152 + (26771*t[63])/1152 + 
       (36407*t[64])/1152 - (15497*t[65])/1728 + (11621*t[66])/1728 - 
       (43*t[70])/18 + (43*t[71])/18 - (55*t[72])/18 - (4*t[74])/3 + 
       (103*t[76])/36 - (19*t[77])/36 - (89*t[78])/36 + (41*t[80])/18 - 
       (23*t[81])/12 + (25*t[82])/36 + (25*t[83])/36 - (8057*t[84])/576 - 
       (1985*t[85])/576 + (26*t[86])/3 + (5237*t[87])/576 - 
       (2777*t[88])/384 - (5507*t[89])/1152 + (7*t[95])/2 + (91*t[96])/18 - 
       (11*t[97])/12 + (80*t[98])/3 - 19*t[99] + 8*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((31*t[1])/24 + (13*t[2])/8 - (3*t[3])/8 + (307*t[4])/48 - 
       (163*t[5])/48 + (13*t[6])/4 + (17*t[7])/12 + (11*t[8])/3 + 
       (133*t[9])/48 - (13*t[10])/12 - (41*t[11])/48 - (211*t[12])/48 - 
       (109*t[13])/144 + (27*t[14])/8 - (139*t[15])/96 - (7*t[26])/6 + 
       t[34]/4 - (2*t[36])/3 + (7*t[38])/6 - t[39]/4 - t[40]/2 - t[41]/8 + 
       t[42]/8 + (7*t[48])/8 + (37*t[49])/24 + (23*t[50])/8 - (15*t[51])/8 - 
       (9*t[52])/8 - (67*t[53])/24 - (19*t[54])/48 + t[58]/4 - 
       (25*t[59])/24 + (215*t[60])/24 - (121*t[61])/12 + (73*t[62])/24 - 
       (16*t[63])/3 - (163*t[64])/16 - (193*t[65])/144 - (41*t[66])/48 - 
       t[69] - t[72]/2 + t[73]/2 + t[74]/6 + t[75]/2 - (15*t[76])/4 - 
       t[77]/2 + (7*t[78])/2 - t[79]/2 - (5*t[80])/2 + t[81]/6 + t[82]/3 - 
       (14*t[83])/3 + (211*t[84])/48 + (109*t[85])/48 + (25*t[86])/6 - 
       (97*t[87])/16 - (263*t[88])/96 + (31*t[89])/48 - t[95]/3 - 
       (3*t[96])/2 - (5*t[97])/4 - 24*t[98] + 24*t[99] + 8*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((65*t[1])/24 + (23*t[2])/24 - (17*t[3])/4 + (941*t[4])/96 - 
       (1531*t[5])/96 + (2723*t[6])/96 + (11*t[7])/6 + (221*t[8])/12 + 
       (1003*t[9])/96 - (9*t[10])/64 + (415*t[11])/96 - (941*t[12])/192 + 
       (4057*t[13])/864 - (209*t[14])/384 + (7*t[15])/288 + t[19] - 3*t[20] - 
       3*t[21] + (3*t[22])/2 + 3*t[23] + (7*t[25])/6 - (13*t[26])/4 - t[27] - 
       t[28]/2 - (3*t[30])/2 - (5*t[31])/2 + (7*t[34])/6 + t[35] - 
       (15*t[36])/4 - (73*t[37])/12 + (25*t[38])/12 - t[39]/12 - 
       (23*t[40])/12 - (11*t[41])/6 + (11*t[42])/6 - (3*t[43])/4 + 2*t[44] + 
       (23*t[45])/12 + t[46]/6 - (23*t[47])/6 + (229*t[48])/32 - 
       (3001*t[49])/192 + (727*t[50])/96 + (493*t[51])/128 - (199*t[52])/96 + 
       (377*t[53])/192 - (93*t[54])/16 + (7*t[58])/6 - (131*t[59])/24 + 
       (751*t[60])/24 + (353*t[61])/48 + (325*t[62])/16 - (3013*t[63])/48 - 
       (581*t[64])/32 + (8087*t[65])/144 + (607*t[66])/12 + (5*t[69])/2 + 
       (25*t[70])/6 - (25*t[71])/6 + (13*t[72])/6 + 5*t[73] + (19*t[74])/12 - 
       4*t[75] - (25*t[76])/3 - t[77]/2 + (69*t[78])/2 + 2*t[79] - 
       (91*t[80])/6 - (71*t[81])/8 - (199*t[82])/24 + (115*t[83])/12 + 
       (63*t[84])/2 + (355*t[85])/48 - (3*t[86])/2 + (873*t[87])/16 + 
       (5123*t[88])/96 + 33*t[89] + t[91]/24 - t[93]/2 - (5*t[95])/2 - 
       (34*t[96])/3 - (19*t[97])/4 - 130*t[98] + 136*t[99] + 8*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((185*t[1])/36 + (5*t[2])/6 - (37*t[3])/24 - (97*t[4])/18 - 
       (887*t[5])/72 - (11*t[6])/12 - (25*t[7])/9 - (331*t[8])/36 + 
       (235*t[9])/36 + (4987*t[10])/288 - (1853*t[11])/144 - 
       (5861*t[12])/288 - (2237*t[13])/216 + (5563*t[14])/576 - 
       (385*t[15])/96 - t[25]/3 - (191*t[26])/36 + (4*t[27])/3 + t[28] - 
       t[29]/2 - t[31]/3 - t[32]/2 + t[33]/2 + (2*t[34])/3 - t[35]/2 + 
       (10*t[36])/9 + (2*t[37])/3 + (97*t[38])/18 - (3*t[39])/4 + t[40]/3 - 
       t[41]/3 + t[42]/3 - t[44] - (4*t[45])/3 - (27*t[46])/8 + 
       (13*t[47])/6 - (29*t[48])/12 + (1993*t[49])/288 + (7*t[50])/2 + 
       (385*t[51])/192 - (5*t[52])/2 - (1429*t[53])/288 + (65*t[54])/36 + 
       t[58]/6 - (173*t[59])/72 - (665*t[60])/144 - (895*t[61])/144 - 
       (2987*t[62])/288 + (6955*t[63])/288 - (391*t[64])/96 + 
       (125*t[65])/108 - (59*t[66])/6 - (8*t[69])/3 + t[70]/3 - t[71]/3 - 
       t[72] - t[73]/3 - (7*t[74])/9 - (4*t[75])/3 - (17*t[76])/6 + t[77]/3 + 
       (22*t[78])/3 - (2*t[79])/3 + (67*t[81])/18 - (38*t[82])/9 + 
       (49*t[83])/9 - (5*t[84])/36 + (43*t[85])/36 + (80*t[86])/9 + 
       (3*t[87])/4 + (49*t[88])/18 - (2755*t[89])/288 - (13*t[95])/9 - 
       (17*t[96])/6 - (3*t[97])/2 - 16*t[98] + 16*t[99] + (101*t[100])/12) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-77*t[1])/36 - (77*t[2])/48 - (83*t[3])/72 + (1471*t[4])/288 - 
       (121*t[5])/288 - (51*t[6])/32 - (161*t[7])/48 - (175*t[8])/144 + 
       (61*t[9])/96 + (931*t[10])/192 + (929*t[11])/288 - (1105*t[12])/576 + 
       (9341*t[13])/864 + (11015*t[14])/3456 - (1115*t[15])/864 + t[16]/12 + 
       (3*t[19])/4 + (13*t[25])/18 + (7*t[26])/6 - t[27]/2 - t[28]/4 - 
       (3*t[30])/2 + t[31]/2 - t[34]/12 + (3*t[35])/2 - (4*t[36])/3 - 
       (7*t[37])/3 - (65*t[38])/36 + (7*t[39])/6 - t[40]/6 + t[41]/24 - 
       t[42]/24 - (3*t[43])/4 + (3*t[44])/4 - t[45]/12 + (53*t[46])/24 + 
       t[47]/6 - (65*t[48])/96 - (1165*t[49])/576 - (955*t[50])/288 - 
       (4231*t[51])/1152 + (451*t[52])/288 - (1127*t[53])/576 - 
       (49*t[54])/9 - t[58]/12 - (25*t[59])/24 + (585*t[60])/32 + 
       (2545*t[61])/288 - (1921*t[62])/192 - (11237*t[63])/576 - 
       (1771*t[64])/576 + (581*t[65])/96 - (2819*t[66])/288 - t[67]/12 - 
       (19*t[69])/6 + (19*t[70])/6 - (19*t[71])/6 - (11*t[72])/6 - 
       (13*t[73])/12 + (5*t[74])/3 + (41*t[75])/12 + (13*t[76])/4 + 
       (3*t[77])/2 + (31*t[78])/12 - (29*t[79])/12 + t[80]/6 + (8*t[81])/3 - 
       (13*t[82])/4 - (41*t[83])/36 + (1313*t[84])/288 + (1429*t[85])/288 - 
       (103*t[86])/36 - (157*t[87])/96 + (595*t[88])/192 + (847*t[89])/64 - 
       (3*t[95])/2 - t[96]/3 + t[97] + 17*t[98] - 20*t[99] + (26*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      (-2*t[1] - (5*t[2])/4 - t[3]/4 + (299*t[4])/24 - (1289*t[5])/96 - 
       6*t[6] - (157*t[7])/48 - (1405*t[8])/48 + (89*t[9])/96 - 
       (91*t[10])/48 + (191*t[11])/48 + (277*t[12])/96 + (317*t[13])/48 - 
       (4643*t[14])/576 + (2567*t[15])/576 + (3*t[25])/2 - t[26]/2 - 
       2*t[27] + 3*t[28] + 2*t[30] + 4*t[31] + t[34]/2 - 2*t[35] - 
       (11*t[36])/4 - 4*t[37] - (5*t[38])/4 - t[39]/4 - t[40]/2 - t[41]/4 + 
       t[42]/4 + t[43] - t[44]/2 - t[45]/2 + 4*t[46] + t[47] - 9*t[48] - 
       (209*t[49])/24 + (7*t[50])/4 - (61*t[51])/64 - (21*t[52])/4 + 
       (47*t[53])/24 - (195*t[54])/16 + (3*t[59])/4 + (329*t[60])/24 + 
       (43*t[61])/4 + (221*t[62])/96 - (2173*t[63])/96 - (937*t[64])/24 + 
       (1433*t[65])/144 + (2315*t[66])/144 + t[69] + (7*t[70])/2 - 
       (7*t[71])/2 + (9*t[72])/4 - (15*t[73])/4 + (9*t[74])/2 + 
       (37*t[75])/4 - (41*t[76])/4 + 2*t[77] + 10*t[78] - (33*t[79])/4 + 
       5*t[80] - (21*t[81])/4 - (21*t[82])/4 - (7*t[83])/6 + (79*t[84])/16 + 
       (5*t[85])/16 + (17*t[86])/12 - (163*t[87])/12 + (77*t[88])/24 + 
       (203*t[89])/16 - 5*t[95] - 4*t[96] + t[97] - 42*t[98] + 37*t[99] + 
       (35*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - w]*((-11*t[1])/3 - (5*t[3])/3 + (37*t[4])/6 - 
       t[5]/6 + (29*t[6])/8 - (37*t[7])/12 - (15*t[8])/4 + (11*t[9])/6 + 
       (83*t[10])/12 - (19*t[11])/8 + (21*t[12])/2 + (11*t[13])/12 - 
       (251*t[14])/72 + (91*t[15])/36 - (2*t[25])/3 + (13*t[26])/3 + 
       2*t[28] + 2*t[31] - 2*t[35] - (8*t[36])/3 + t[37] - (11*t[38])/3 + 
       2*t[39] - 2*t[40] + 2*t[45] - (3*t[46])/2 - 4*t[47] + (5*t[48])/8 - 
       (9*t[49])/4 - (17*t[50])/24 + (73*t[51])/24 + (17*t[52])/24 + 
       (15*t[53])/4 - (23*t[54])/8 + (17*t[59])/6 + (73*t[60])/12 + 2*t[61] + 
       (427*t[62])/24 - (259*t[63])/24 - (353*t[64])/12 + (179*t[65])/36 + 
       (79*t[66])/12 + 4*t[69] - t[70] + t[71] + t[73] + (5*t[74])/3 + 
       3*t[75] + 2*t[77] + 2*t[78] - t[79] - 4*t[80] + (7*t[81])/6 - 
       (7*t[82])/6 - (9*t[83])/2 + (21*t[84])/4 + (11*t[85])/3 - 23*t[86] - 
       (19*t[87])/4 - (41*t[88])/24 + (197*t[89])/24 - (4*t[95])/3 + 
       9*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-11*t[1])/2 - t[3] - 2*t[4] - (17*t[5])/8 + (3*t[6])/16 - t[7]/8 + 
       (15*t[8])/8 + (25*t[9])/8 - (199*t[10])/8 + (87*t[11])/16 + 
       (171*t[12])/8 + (383*t[13])/24 - (115*t[14])/6 + (191*t[15])/48 + 
       2*t[25] + (7*t[26])/2 - 4*t[36] - (3*t[37])/2 - (11*t[38])/2 + 
       (33*t[46])/4 + (3*t[48])/16 - (117*t[49])/8 - (29*t[50])/16 - 
       2*t[51] + (29*t[52])/16 + (63*t[53])/8 + (51*t[54])/16 + (7*t[59])/4 - 
       (41*t[60])/8 - (39*t[61])/2 + (379*t[62])/16 - (667*t[63])/16 + 
       (193*t[64])/8 + (533*t[65])/24 + (13*t[66])/8 + 6*t[69] + 
       (9*t[73])/2 - t[74]/2 - (3*t[75])/2 - (9*t[79])/2 + (7*t[81])/4 - 
       (7*t[82])/4 - (3*t[84])/8 + t[85]/4 - (9*t[86])/2 + (57*t[87])/8 + 
       (55*t[88])/16 + (371*t[89])/16 + 4*t[95] + 9*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-17*t[1])/8 + t[2]/8 + (25*t[3])/8 - (15*t[4])/8 + (77*t[5])/16 - 
       (29*t[6])/8 - (31*t[7])/8 - (33*t[8])/8 - (97*t[9])/16 - 
       (35*t[10])/16 - (19*t[11])/4 + (11*t[12])/4 - (55*t[13])/48 - 
       (305*t[14])/96 - (91*t[15])/96 - t[19] + t[20] + t[21] - t[22]/2 - 
       t[23] + (3*t[26])/2 + t[27]/2 - t[29]/2 - t[32]/2 + t[33]/2 + 
       t[34]/4 + t[37] - (7*t[38])/4 - t[39]/2 + t[40] + t[41]/8 - t[42]/8 - 
       t[45]/2 + t[46]/2 + (3*t[48])/8 - (11*t[49])/16 - (17*t[50])/8 - 
       (13*t[51])/32 + (7*t[52])/8 + (3*t[53])/16 + t[54]/4 + (5*t[59])/8 - 
       (15*t[60])/4 - 10*t[61] + (33*t[62])/8 + (19*t[63])/8 + (5*t[64])/8 + 
       t[65] + (7*t[66])/2 - t[72] + 2*t[76] - (17*t[78])/4 + (9*t[80])/2 - 
       t[81]/4 + (5*t[82])/4 - (5*t[84])/2 + (11*t[85])/4 - t[86] - 
       (17*t[87])/4 - (17*t[88])/8 - t[89]/2 + t[97]/4 + 12*t[98] - 
       12*t[99] + 9*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((3*t[1])/8 - (9*t[2])/8 + (3*t[3])/8 + 
       (11*t[4])/4 - (17*t[5])/16 - (47*t[6])/16 + (17*t[7])/8 - 
       (25*t[8])/8 + (27*t[9])/16 + (73*t[10])/8 + (29*t[11])/16 - 
       (45*t[12])/16 - (743*t[13])/144 + (99*t[14])/16 - (209*t[15])/96 - 
       t[19] - t[20] - t[21] + t[22] + t[23] + t[27] - t[29]/2 + t[32]/2 - 
       t[33]/2 - t[34]/4 + t[37]/2 + t[38]/4 + (3*t[39])/4 - t[40]/2 - 
       (3*t[41])/8 + (3*t[42])/8 + t[45] - t[47] - (21*t[48])/16 + 
       (7*t[49])/4 - (13*t[50])/16 - (35*t[51])/16 + t[52]/16 - (3*t[53])/4 - 
       (51*t[54])/16 - t[59]/8 - (37*t[60])/8 + (29*t[61])/8 - (59*t[62])/8 + 
       (35*t[63])/8 - (173*t[64])/16 - (85*t[65])/12 - (57*t[66])/8 - 
       t[72]/2 + (9*t[76])/4 + t[77]/2 - (19*t[78])/4 - 4*t[80] - t[82]/2 + 
       t[83]/2 - 3*t[84] + t[85] - 3*t[86] - (7*t[87])/2 - (3*t[88])/2 - 
       (45*t[89])/16 + (3*t[96])/2 + (3*t[97])/4 + 12*t[98] - 12*t[99] + 
       9*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((1003*t[1])/144 - (107*t[2])/144 - (3695*t[3])/288 + (2137*t[4])/144 - 
       (7297*t[5])/576 + (3387*t[6])/64 - (1595*t[7])/288 + 
       (14207*t[8])/288 + (139*t[9])/576 + (13051*t[10])/288 - 
       (4015*t[11])/576 + (409*t[12])/576 - (52859*t[13])/5184 + 
       (47135*t[14])/1728 + (17147*t[15])/3456 + t[16]/4 - (23*t[25])/12 - 
       (293*t[26])/72 + (29*t[27])/18 + (3*t[28])/2 + (3*t[29])/4 + 
       (5*t[30])/12 + (8*t[31])/9 + (3*t[32])/2 - (3*t[33])/2 - 
       (41*t[34])/72 - 3*t[35] - (5*t[36])/4 - (253*t[37])/36 + 
       (71*t[38])/18 + (13*t[39])/12 - (373*t[40])/72 + (41*t[41])/144 - 
       (41*t[42])/144 + (43*t[43])/48 - (89*t[44])/8 + (1073*t[45])/144 - 
       (25*t[46])/4 - (965*t[47])/72 + (1091*t[48])/64 - (683*t[49])/36 + 
       (1039*t[50])/576 + (5467*t[51])/576 + (2105*t[52])/576 + 
       (89*t[53])/18 + (131*t[54])/192 + (169*t[58])/72 - (191*t[59])/144 + 
       (6175*t[60])/288 + (16499*t[61])/288 - (2509*t[62])/576 - 
       (32615*t[63])/576 - (12379*t[64])/192 + (2371*t[65])/96 + 
       (15061*t[66])/864 + 2*t[68] + (37*t[69])/6 + (10*t[70])/9 - 
       (10*t[71])/9 + (9*t[72])/2 + (25*t[73])/6 - (21*t[74])/4 - 
       (5*t[75])/3 - (2381*t[76])/72 + (89*t[77])/18 + (319*t[78])/9 + 
       (35*t[79])/2 - (199*t[80])/6 - (383*t[81])/36 - (113*t[82])/72 - 
       (245*t[83])/36 + (485*t[84])/32 - (6533*t[85])/288 - (905*t[86])/24 + 
       (12997*t[87])/288 + (2909*t[88])/64 + (2473*t[89])/192 + t[91]/24 + 
       t[93]/2 - (41*t[95])/6 - (283*t[96])/36 - (15*t[97])/8 - 
       (634*t[98])/3 + 235*t[99] + 9*t[100]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-19*t[1])/24 + 2*t[2] + (3*t[3])/2 - 8*t[4] - (133*t[5])/12 - 
       (41*t[6])/16 + (43*t[7])/24 - (221*t[8])/24 + (53*t[9])/6 + 
       (1501*t[10])/192 - (217*t[11])/96 - (613*t[12])/64 - 
       (3353*t[13])/288 + (3331*t[14])/384 - (4433*t[15])/576 - t[25] + 
       (19*t[26])/24 - t[27] + t[29] + t[34] - (7*t[36])/3 - (7*t[38])/24 - 
       t[39]/2 - t[41]/2 + t[42]/2 - (7*t[46])/24 - (65*t[48])/16 - 
       (1141*t[49])/192 + (95*t[50])/16 - (399*t[51])/128 - (79*t[52])/16 + 
       (207*t[53])/64 - (73*t[54])/12 - (29*t[59])/48 - (1439*t[60])/96 + 
       (201*t[61])/32 - (1369*t[62])/64 + (2109*t[63])/64 + 
       (1625*t[64])/192 + (641*t[65])/48 + (227*t[66])/144 + (4*t[69])/3 + 
       t[72]/2 + (5*t[73])/6 + t[74]/2 - (9*t[75])/2 - (11*t[76])/2 - t[77] + 
       5*t[78] - (17*t[79])/6 - 3*t[80] + (9*t[81])/4 - (13*t[82])/4 + 
       (41*t[83])/6 + (307*t[84])/48 + (421*t[85])/48 + (115*t[86])/6 + 
       (113*t[87])/12 + (241*t[88])/48 - (509*t[89])/192 - t[95] - 3*t[96] - 
       2*t[97] - 24*t[98] + 24*t[99] + (37*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - w]*
      ((-49*t[1])/36 + t[3]/3 - (391*t[4])/72 + (181*t[5])/288 - 
       (11*t[6])/48 + (17*t[7])/144 - (79*t[8])/144 - (277*t[9])/288 - 
       (641*t[10])/288 - (497*t[11])/144 + (1253*t[12])/144 - 
       (641*t[13])/432 - (1667*t[14])/192 + (487*t[15])/192 - (2*t[25])/3 + 
       (73*t[26])/36 - (41*t[36])/36 + t[37] - (49*t[38])/36 - 
       (39*t[46])/16 - (11*t[48])/48 + (433*t[49])/288 + (7*t[50])/16 + 
       (895*t[51])/192 - (7*t[52])/16 + (965*t[53])/288 + (77*t[54])/144 + 
       (85*t[59])/72 - (707*t[60])/144 - (1585*t[61])/144 + 
       (2941*t[62])/288 - (1775*t[63])/288 + (249*t[64])/32 + 
       (2149*t[65])/216 + (1445*t[66])/72 + (5*t[69])/6 + (29*t[73])/12 - 
       (23*t[74])/18 + (59*t[75])/12 - (29*t[79])/12 - (13*t[81])/36 + 
       (13*t[82])/36 - (68*t[83])/9 - (47*t[84])/36 - (85*t[85])/72 + 
       (65*t[86])/36 + (11*t[87])/24 - (121*t[88])/144 + (395*t[89])/288 + 
       (5*t[95])/9 + (113*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((-5*t[3])/3 - (167*t[4])/4 - 
       6*t[5] - (17*t[6])/8 + (4*t[7])/3 - (13*t[8])/3 + (11*t[9])/3 - 
       (20*t[10])/3 - (79*t[11])/24 + (79*t[12])/6 - (19*t[13])/12 - 
       (1603*t[14])/144 + (185*t[15])/72 - (2*t[25])/3 + (2*t[26])/3 - 
       t[27] + t[29] - (7*t[36])/3 + t[37] + (9*t[46])/2 - (15*t[48])/8 - 
       (46*t[49])/3 + (43*t[50])/24 + (35*t[51])/48 - (43*t[52])/24 + 
       (241*t[53])/12 - (23*t[54])/24 - (5*t[59])/6 - (433*t[60])/12 - 
       (11*t[61])/6 + (89*t[62])/24 - (15*t[63])/8 + (1943*t[64])/24 + 
       (1447*t[65])/36 + (421*t[66])/12 - (3*t[69])/2 + t[70] - t[71] + 
       t[72]/2 + 4*t[73] - (5*t[74])/3 + 9*t[75] - (3*t[76])/2 - 5*t[79] - 
       t[80] + (5*t[81])/6 - (23*t[82])/6 - (143*t[83])/12 - (25*t[84])/6 - 
       (11*t[85])/4 + (32*t[86])/3 + 40*t[87] + (58*t[88])/3 + 
       (463*t[89])/24 + (4*t[95])/3 + (19*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[u, v, w]*((23*t[1])/12 + (5*t[2])/4 - 
       (15*t[3])/4 + (83*t[4])/24 - (31*t[5])/12 + (13*t[6])/2 + (5*t[7])/3 + 
       (67*t[8])/6 + (13*t[9])/12 + (59*t[10])/12 + (71*t[11])/24 - 
       (49*t[12])/12 - (7*t[13])/72 + (129*t[14])/16 - (19*t[15])/24 - 
       (2*t[26])/3 - t[34]/2 + t[36]/3 + (7*t[38])/6 - t[40] + t[41]/4 - 
       t[42]/4 + (7*t[48])/2 + (5*t[49])/12 + (3*t[50])/2 - (31*t[51])/16 + 
       t[52] - (17*t[53])/12 - (17*t[54])/24 + t[58]/2 - (5*t[59])/6 + 
       (67*t[60])/12 + (35*t[61])/12 - (83*t[62])/24 - (263*t[63])/24 - 
       (23*t[64])/4 - (311*t[65])/72 - (191*t[66])/24 - t[69] - t[72] - 
       t[73] + (2*t[74])/3 - t[75] - (7*t[76])/2 + 2*t[78] + t[79] - 
       3*t[80] - (5*t[81])/6 - t[82]/6 - (7*t[83])/6 + (77*t[84])/24 - 
       (31*t[85])/24 - (7*t[86])/3 + (35*t[87])/8 + (125*t[88])/48 + 
       (113*t[89])/24 - (4*t[95])/3 - t[97]/2 - 24*t[98] + 24*t[99] + 
       (19*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^3*
      ((79*t[1])/24 - (25*t[2])/8 - (25*t[3])/96 + (911*t[4])/32 - 
       (1757*t[5])/192 + (659*t[6])/64 - (143*t[7])/32 + (1043*t[8])/96 + 
       (299*t[9])/192 + (2551*t[10])/192 + (1103*t[11])/192 - (37*t[12])/32 + 
       (13249*t[13])/1728 - (2599*t[14])/1152 - (8071*t[15])/1152 + t[16]/6 - 
       (5*t[25])/12 - (11*t[26])/4 + (5*t[27])/4 + (5*t[28])/6 + 
       (3*t[29])/2 - t[30]/4 - (5*t[31])/6 + t[32] - t[33] - (3*t[34])/4 - 
       (4*t[35])/3 + (2*t[36])/3 + t[37]/6 + (11*t[38])/4 + t[39] - 
       (21*t[40])/8 + (3*t[41])/8 - (3*t[42])/8 - (25*t[43])/16 - 
       (27*t[44])/8 - (17*t[45])/16 - (11*t[46])/12 + (25*t[47])/8 + 
       (79*t[48])/64 - (187*t[49])/64 - (213*t[50])/64 + (103*t[51])/384 + 
       (607*t[52])/192 - (583*t[53])/192 - (2051*t[54])/192 + (2*t[58])/3 - 
       (5*t[59])/6 + (779*t[60])/24 + (229*t[61])/48 - (725*t[62])/48 - 
       (166*t[63])/3 - (779*t[64])/96 + (745*t[65])/144 - (1343*t[66])/144 + 
       t[68]/6 + 2*t[69] + t[70] - t[71] + (10*t[72])/3 + (5*t[73])/3 - 
       (13*t[74])/3 - (25*t[75])/6 - (17*t[76])/2 + (17*t[77])/12 + 
       (37*t[78])/4 + (23*t[79])/3 - (91*t[80])/12 + (5*t[81])/8 - 
       (25*t[82])/12 + 5*t[83] + (37*t[84])/6 - (35*t[85])/48 + 
       (61*t[86])/24 + (77*t[87])/16 + (1159*t[88])/96 + (1571*t[89])/96 + 
       t[91]/72 + t[93]/6 - (10*t[95])/3 - (13*t[96])/6 + (7*t[97])/6 - 
       40*t[98] + 41*t[99] + (29*t[100])/3) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-35*t[1])/18 - t[2]/4 + (85*t[3])/12 - (553*t[4])/18 + 
       (1237*t[5])/288 - (425*t[6])/48 - (553*t[7])/144 - (2521*t[8])/144 - 
       (1297*t[9])/288 - (917*t[10])/288 - (2735*t[11])/144 + 
       (1349*t[12])/144 - (5609*t[13])/432 - (4391*t[14])/192 + 
       (281*t[15])/64 - (5*t[25])/3 + (67*t[26])/36 - t[28] - t[31] + t[34] + 
       t[35] + (79*t[36])/36 + (3*t[37])/2 - (17*t[38])/18 - (5*t[39])/4 + 
       2*t[40] - t[41]/2 + t[42]/2 - t[45] - (99*t[46])/16 + 2*t[47] - 
       (251*t[48])/48 + (1165*t[49])/288 + (39*t[50])/16 + (2383*t[51])/192 - 
       (71*t[52])/16 + (2177*t[53])/288 + (677*t[54])/144 - t[58]/2 + 
       (133*t[59])/72 - (5519*t[60])/144 - (3379*t[61])/144 + 
       (7069*t[62])/288 + (13177*t[63])/288 + (1031*t[64])/32 + 
       (1519*t[65])/54 + (1145*t[66])/18 - t[69]/6 + t[72] + (11*t[73])/12 - 
       (28*t[74])/9 + (101*t[75])/12 + (3*t[76])/2 - (3*t[77])/2 - t[78]/2 - 
       (11*t[79])/12 + 4*t[80] - (4*t[81])/9 + (22*t[82])/9 - (38*t[83])/9 - 
       (583*t[84])/72 - (187*t[85])/72 + (215*t[86])/36 + (41*t[87])/6 + 
       (217*t[88])/72 - (3469*t[89])/288 + (11*t[95])/9 - (3*t[96])/2 - 
       t[97]/2 + 12*t[98] - 12*t[99] + (119*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[w, u, v]*
      (t[1]/3 - t[3]/2 - (19*t[4])/3 + t[5]/3 + (9*t[6])/8 - (29*t[7])/12 - 
       (41*t[8])/12 + t[9]/6 + (179*t[10])/24 - (215*t[11])/24 + 
       (131*t[12])/24 - (155*t[13])/36 - (245*t[14])/48 + (71*t[15])/24 - 
       t[25] + (2*t[26])/3 + t[28] + t[31] - t[35] - t[36]/3 + t[37] + 
       t[38]/3 + t[39] - t[40] + t[45] - 3*t[46] - 2*t[47] - (3*t[48])/8 + 
       (59*t[49])/24 - (3*t[50])/8 + (93*t[51])/16 + (3*t[52])/8 + 
       (61*t[53])/24 + (77*t[54])/24 + (13*t[59])/12 - (25*t[60])/3 - 
       (49*t[61])/6 + (101*t[62])/6 + (29*t[63])/6 - 5*t[64] + (70*t[65])/9 + 
       (83*t[66])/6 + 2*t[69] - t[70] + t[71] + t[73] - (2*t[74])/3 + 
       8*t[75] + t[77] + t[78] - t[79] - 2*t[80] + (5*t[81])/6 - 
       (5*t[82])/6 - (53*t[83])/6 - (7*t[84])/3 - (25*t[85])/12 - 
       (41*t[86])/3 + (5*t[87])/4 - t[88]/24 - (13*t[89])/12 + (4*t[95])/3 + 
       10*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*(-6*t[1] + (19*t[2])/2 - (31*t[3])/4 - 
       (613*t[4])/8 - (95*t[5])/4 + (113*t[6])/4 + (3*t[7])/4 + 
       (117*t[8])/4 + (61*t[9])/2 - (571*t[10])/16 - (221*t[11])/4 + 
       (385*t[12])/16 - (355*t[13])/12 - (195*t[14])/32 - (247*t[15])/144 - 
       2*t[25] + 10*t[26] - 6*t[28] - 2*t[30] + t[34] + 12*t[35] - t[36] - 
       t[37] - 8*t[38] + 4*t[39] - 4*t[40] - t[41]/2 + t[42]/2 - t[43] + 
       6*t[44] + 3*t[45] + 3*t[46] - 6*t[47] + (73*t[48])/4 - 
       (129*t[49])/16 + (63*t[50])/4 + (201*t[51])/32 + (5*t[52])/4 + 
       (321*t[53])/16 + (341*t[54])/8 + t[58] + t[59] - (901*t[60])/8 - 
       (443*t[61])/8 + (1171*t[62])/16 + (1309*t[63])/16 + (1917*t[64])/16 + 
       (979*t[65])/24 + (277*t[66])/24 + 2*t[69] - 6*t[70] + 6*t[71] - 
       4*t[72] + 8*t[73] - 7*t[74] - 6*t[75] - t[76] - 5*t[77] + 5*t[78] - 
       40*t[80] + (23*t[81])/2 - (5*t[82])/2 + 9*t[83] - (53*t[84])/8 + 
       (25*t[85])/8 - 26*t[86] + (539*t[87])/8 + (75*t[88])/16 - 
       (55*t[89])/16 + 10*t[95] - 10*t[97] - 8*t[98] + 20*t[99] + 
       10*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      ((95*t[1])/48 + (5*t[2])/4 - (49*t[3])/16 + (103*t[4])/24 - 
       (581*t[5])/192 + (643*t[6])/128 + (395*t[7])/96 + (1319*t[8])/96 + 
       (161*t[9])/192 - (65*t[10])/192 + (723*t[11])/128 - (181*t[12])/96 + 
       (383*t[13])/576 + (3829*t[14])/576 - (187*t[15])/128 + t[25]/8 - 
       (41*t[26])/48 - (3*t[28])/4 - (3*t[31])/4 - t[34]/2 + (3*t[35])/4 + 
       t[36]/12 - t[37]/8 + (59*t[38])/48 - (3*t[39])/4 - t[40]/4 + t[41]/4 - 
       t[42]/4 - (3*t[45])/4 - (3*t[46])/16 + (3*t[47])/2 + (403*t[48])/128 + 
       (125*t[49])/96 + (227*t[50])/128 - (33*t[51])/16 + (93*t[52])/128 - 
       (103*t[53])/48 - (239*t[54])/384 + t[58]/2 - (49*t[59])/48 + 
       (1043*t[60])/192 - (115*t[61])/48 - (1391*t[62])/128 - 
       (1977*t[63])/128 + (223*t[64])/48 - (217*t[65])/64 - 
       (5695*t[66])/576 - (3*t[69])/4 + t[70]/8 - t[71]/8 - t[72] + 
       (5*t[73])/16 - (11*t[74])/24 - (17*t[75])/16 - (7*t[76])/2 - 
       (3*t[77])/4 + (5*t[78])/4 - (3*t[79])/8 - (3*t[80])/2 - 
       (119*t[81])/96 + (23*t[82])/96 + t[83]/24 + (415*t[84])/192 - 
       (151*t[85])/96 + (281*t[86])/24 + (671*t[87])/192 + (469*t[88])/128 + 
       (875*t[89])/384 - t[95]/3 - t[97]/2 - 24*t[98] + 24*t[99] + 
       10*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      ((-3*t[1])/4 + 2*t[2] + (55*t[3])/24 + (745*t[4])/96 - 
       (1267*t[5])/384 + (19*t[6])/16 - (187*t[7])/64 - (1537*t[8])/192 + 
       (545*t[9])/128 - (147*t[10])/64 - (405*t[11])/64 - (1625*t[12])/384 - 
       (319*t[13])/288 - (2693*t[14])/768 - (3175*t[15])/2304 - t[25]/12 - 
       t[26]/6 + (3*t[28])/4 + (3*t[31])/4 + t[34] - (3*t[35])/4 - 
       (41*t[36])/48 - t[37]/4 - t[38]/4 + t[39]/4 - (3*t[40])/4 - t[41]/2 + 
       t[42]/2 + (3*t[45])/4 + t[46]/4 - (3*t[47])/2 - (23*t[48])/16 - 
       (37*t[49])/48 + (187*t[50])/48 - (323*t[51])/768 - (139*t[52])/48 - 
       (23*t[53])/12 - (383*t[54])/192 + (7*t[59])/24 + (159*t[60])/16 - 
       (905*t[61])/48 + (2765*t[62])/128 + (2401*t[63])/384 - 
       (1367*t[64])/48 + (997*t[65])/192 + (7057*t[66])/576 + (5*t[69])/8 - 
       t[70]/4 + t[71]/4 - t[73]/16 + (7*t[74])/6 + (17*t[75])/16 - 4*t[76] - 
       t[77]/4 + (23*t[78])/4 + (5*t[79])/16 - (7*t[80])/2 + (5*t[81])/3 + 
       t[82]/3 - (67*t[83])/24 + (1547*t[84])/192 + (521*t[85])/64 - 
       (481*t[86])/48 - (301*t[87])/24 - (109*t[88])/24 + (281*t[89])/96 - 
       t[95]/3 - 3*t[96] - 2*t[97] - 24*t[98] + 24*t[99] + (85*t[100])/8) + 
     HPL[{1}, 1 - u]^2*Qep[u, v, w]*((808*t[4])/9 + (26*t[5])/9 - 
       (52*t[7])/9 - (52*t[8])/9 - (26*t[9])/9 + (908*t[10])/9 + 
       (116*t[11])/9 - (418*t[12])/9 + (280*t[13])/27 + (1597*t[14])/27 - 
       (79*t[15])/3 + (16*t[36])/3 + (128*t[49])/9 - (125*t[51])/3 - 
       (272*t[53])/9 - (164*t[54])/3 + (1072*t[60])/9 + (160*t[61])/3 - 
       (26*t[62])/9 - (86*t[63])/9 - (2024*t[64])/9 + (284*t[65])/27 - 
       (1084*t[66])/27 - (32*t[69])/3 - (16*t[73])/3 + (80*t[75])/3 + 
       (16*t[79])/3 - (224*t[83])/9 + (164*t[84])/3 + (164*t[85])/3 - 
       (208*t[86])/9 + (32*t[87])/9 + (16*t[88])/9 + 40*t[89] + 
       (32*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[u, v, w]*
      ((-304*t[1])/9 + (1144*t[4])/9 - (4*t[5])/9 + (16*t[6])/3 + 
       (104*t[7])/9 + (104*t[8])/9 + (4*t[9])/9 - (202*t[10])/9 + 
       (796*t[11])/9 + (338*t[12])/9 + (772*t[13])/27 + (157*t[14])/9 - 
       (184*t[15])/9 + (304*t[26])/9 - (224*t[36])/9 - (304*t[38])/9 - 
       8*t[46] + (16*t[48])/3 - (118*t[49])/9 + (16*t[50])/3 - (37*t[51])/3 - 
       (16*t[52])/3 - (2*t[53])/9 - (640*t[54])/9 + (152*t[59])/9 + 
       (1276*t[60])/9 + (596*t[61])/9 - (778*t[62])/9 - (1270*t[63])/9 - 
       (526*t[64])/3 - (1312*t[65])/27 - (464*t[66])/9 + (64*t[69])/3 + 
       (32*t[73])/3 + (128*t[74])/9 - (160*t[75])/3 - (32*t[79])/3 - 
       (64*t[81])/9 + (64*t[82])/9 + (448*t[83])/9 + (592*t[84])/9 + 
       (496*t[85])/9 + (416*t[86])/9 - (200*t[87])/3 - (196*t[88])/9 + 
       (250*t[89])/9 - (256*t[95])/9 + (32*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      (-t[1]/6 + (7*t[2])/12 + t[3]/12 + (19*t[4])/3 - (5*t[5])/16 + 
       (173*t[6])/48 - (13*t[7])/8 + (59*t[8])/8 + t[9]/16 + (73*t[10])/48 + 
       (77*t[11])/48 - (49*t[12])/24 + (247*t[13])/72 - (31*t[14])/72 - 
       (557*t[15])/288 + t[25]/3 - t[26]/6 - t[27]/3 - t[30] - (2*t[31])/3 + 
       t[34]/6 - t[36]/2 - (5*t[37])/6 - t[38]/6 + t[39]/3 - t[40]/6 - 
       t[41]/12 + t[42]/12 - t[43]/2 + t[45]/6 - (5*t[46])/12 - t[47]/3 + 
       (27*t[48])/16 + (5*t[49])/16 - (5*t[50])/16 - (7*t[51])/48 + 
       (13*t[52])/16 - (33*t[53])/16 - (55*t[54])/16 + t[58]/6 - t[59]/6 + 
       (137*t[60])/12 - (151*t[61])/24 - (137*t[62])/48 - (863*t[63])/48 + 
       (487*t[64])/48 + (217*t[65])/36 - (35*t[66])/18 + t[69]/2 + t[70]/3 - 
       t[71]/3 - (2*t[72])/3 + 2*t[73] - (3*t[75])/2 - t[76]/6 + t[77]/6 + 
       (10*t[78])/3 - (7*t[80])/6 + (7*t[81])/4 - (23*t[82])/12 - 
       (5*t[83])/12 + (35*t[84])/6 + (113*t[85])/24 + 6*t[86] + 
       (121*t[87])/24 + (67*t[88])/16 + (43*t[89])/6 - t[95] - (4*t[96])/3 - 
       t[97]/2 - 4*t[98] + (43*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]^2*((11*t[1])/6 - t[2]/6 + (11*t[3])/12 + 
       (22*t[4])/3 - (43*t[5])/48 + (29*t[6])/16 - (65*t[7])/24 - 
       (109*t[8])/24 - (17*t[9])/48 + (215*t[10])/48 + (83*t[11])/48 - 
       (31*t[12])/6 + (911*t[13])/216 - (751*t[14])/144 - (401*t[15])/288 - 
       (11*t[26])/6 + t[27]/3 + t[28] - t[31]/3 + t[34]/6 - 2*t[35] - 
       (3*t[36])/2 + t[37]/6 + (11*t[38])/6 - t[40]/6 - t[41]/12 + t[42]/12 - 
       t[44] + t[45]/6 - t[46]/4 - t[47]/3 + t[48]/16 + t[49]/48 + 
       (67*t[50])/48 + t[51]/3 - (43*t[52])/48 - (77*t[53])/48 - 
       (93*t[54])/16 + t[58]/6 - (7*t[59])/6 + (89*t[60])/12 - 
       (505*t[61])/24 + (431*t[62])/48 - (551*t[63])/48 + (509*t[64])/16 + 
       (23*t[65])/3 + (283*t[66])/18 + t[70]/3 - t[71]/3 + t[73] + t[75]/2 - 
       (5*t[76])/6 + (5*t[77])/6 + (10*t[78])/3 + (11*t[79])/2 - 
       (7*t[80])/2 + (13*t[81])/12 + (5*t[82])/12 - (17*t[83])/3 + 5*t[84] + 
       (85*t[85])/24 - (7*t[86])/2 + (109*t[87])/24 + (63*t[88])/16 + 
       (45*t[89])/4 - t[95] - (4*t[96])/3 - t[97]/2 - 4*t[98] + 
       (43*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((-9*t[1])/8 - (11*t[2])/8 - (47*t[3])/8 - 
       (497*t[4])/48 + (35*t[5])/32 + (9*t[6])/2 - (11*t[7])/16 + 
       (145*t[8])/16 - (35*t[9])/32 + (701*t[10])/96 + (191*t[11])/48 + 
       (511*t[12])/24 + (205*t[13])/36 - (751*t[14])/576 + (2735*t[15])/576 + 
       (11*t[26])/4 + t[28] + t[31] - (5*t[34])/4 - t[35] - (9*t[36])/4 - 
       2*t[38] + (3*t[39])/2 - (3*t[40])/2 + (5*t[41])/8 - (5*t[42])/8 + 
       t[45] + (41*t[46])/48 - 2*t[47] + (13*t[48])/4 - (119*t[49])/32 - 
       (19*t[50])/4 + (347*t[51])/64 + 5*t[52] + (659*t[53])/96 + 
       (491*t[54])/48 + t[58]/4 + (13*t[59])/8 - (577*t[60])/48 - 
       (89*t[61])/48 + (25*t[62])/32 - (899*t[63])/32 + (821*t[64])/32 - 
       (1265*t[65])/144 - (4027*t[66])/144 + (13*t[69])/6 - t[72]/2 + 
       (23*t[73])/12 + t[74]/3 + (39*t[75])/4 + (9*t[76])/4 + 2*t[77] - 
       3*t[78] - (23*t[79])/12 - (3*t[80])/2 + t[81]/12 - (31*t[82])/12 - 
       (23*t[83])/2 - (587*t[84])/48 - (683*t[85])/48 - (77*t[86])/4 + 
       (527*t[87])/48 + (511*t[88])/96 - (139*t[89])/96 + (4*t[95])/3 + 
       3*t[96] + (7*t[97])/4 + 12*t[98] - 12*t[99] + (43*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-2*t[1] + (5*t[4])/6 + (19*t[5])/24 - (19*t[7])/12 - (19*t[8])/12 - 
       (19*t[9])/24 - (25*t[10])/12 + (23*t[11])/12 + (217*t[12])/24 + 
       (95*t[13])/18 - (1235*t[14])/144 + (23*t[15])/16 + 2*t[26] - t[36] - 
       2*t[38] - (7*t[49])/3 + (43*t[51])/16 + (7*t[53])/3 + (5*t[54])/4 + 
       t[59] + t[60]/3 - (33*t[61])/2 + (227*t[62])/24 - (211*t[63])/24 + 
       (55*t[64])/12 + (65*t[65])/36 - (37*t[66])/36 + 2*t[69] + t[73] + 
       5*t[75] - t[79] - (8*t[83])/3 - (5*t[84])/4 - (5*t[85])/4 - 
       (19*t[86])/3 - t[87]/3 + t[88]/3 + 2*t[89] + 11*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      ((4*t[1])/3 - (7*t[2])/6 - t[3]/3 - (11*t[4])/3 + (61*t[5])/24 - 
       (31*t[6])/8 - (7*t[7])/3 + t[8]/3 - (25*t[9])/24 + (313*t[10])/24 - 
       (137*t[11])/24 - (43*t[12])/6 - (277*t[13])/54 + (787*t[14])/72 - 
       (253*t[15])/144 - (4*t[26])/3 - (2*t[27])/3 + (2*t[31])/3 - t[34]/3 + 
       t[36] - t[37]/3 + (4*t[38])/3 + t[40]/3 + t[41]/6 - t[42]/6 - 
       t[45]/3 - 2*t[46] + (2*t[47])/3 - (11*t[48])/8 + (221*t[49])/24 - 
       (73*t[50])/24 - (29*t[51])/12 + (49*t[52])/24 - (121*t[53])/24 + 
       (27*t[54])/8 - t[58]/3 - t[59]/6 - (125*t[60])/6 + (37*t[61])/12 - 
       (34*t[62])/3 + (215*t[63])/6 + (215*t[64])/8 - (13*t[65])/2 + 
       (23*t[66])/9 - (2*t[70])/3 + (2*t[71])/3 - t[74] + t[75] + 
       (17*t[76])/3 + t[77]/3 - (20*t[78])/3 + 2*t[79] + 3*t[80] + 
       (10*t[81])/3 + (8*t[82])/3 - (20*t[83])/3 - (33*t[84])/4 - 
       (61*t[85])/12 - 4*t[86] - (43*t[87])/12 - (41*t[88])/8 - 
       (31*t[89])/4 + 2*t[95] + (8*t[96])/3 + t[97] + 32*t[98] - 38*t[99] + 
       11*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      ((-2*t[1])/3 - (7*t[2])/6 + t[3]/3 - (17*t[4])/3 + (31*t[5])/8 - 
       (173*t[6])/24 + t[7] - 7*t[8] - (19*t[9])/8 - (85*t[10])/24 + 
       (115*t[11])/24 + (61*t[12])/12 + (29*t[13])/9 - (397*t[14])/72 + 
       (23*t[15])/16 - (2*t[25])/3 + (4*t[26])/3 + (2*t[27])/3 - 
       (2*t[31])/3 - t[34]/3 + t[36] + (5*t[37])/3 - (2*t[38])/3 - 
       (2*t[39])/3 + t[40]/3 + t[41]/6 - t[42]/6 - t[45]/3 + (4*t[46])/3 + 
       (2*t[47])/3 - (11*t[48])/8 + (5*t[49])/8 - (3*t[50])/8 + (7*t[51])/6 - 
       (5*t[52])/8 + (23*t[53])/8 + (27*t[54])/8 - t[58]/3 + (5*t[59])/6 - 
       (31*t[60])/3 - (113*t[61])/12 - (37*t[62])/24 + (53*t[63])/24 + 
       (395*t[64])/24 - (151*t[65])/18 - (91*t[66])/9 - (2*t[70])/3 + 
       (2*t[71])/3 + (4*t[72])/3 - t[74] + (19*t[76])/3 - t[77]/3 - 
       (26*t[78])/3 + (4*t[80])/3 + (5*t[81])/2 - t[82]/6 + (4*t[83])/3 - 
       (49*t[84])/6 - (47*t[85])/12 - 2*t[86] - (67*t[87])/12 - 
       (49*t[88])/8 - (55*t[89])/12 + 2*t[95] + (8*t[96])/3 + t[97] + 
       32*t[98] - 38*t[99] + 11*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((-25*t[1])/6 + t[2]/4 + 
       (25*t[3])/4 - (17*t[4])/3 + (79*t[5])/8 - (59*t[6])/8 - (17*t[7])/2 - 
       9*t[8] - (99*t[9])/8 - (511*t[10])/96 - (191*t[11])/16 + 
       (673*t[12])/96 - (179*t[13])/144 - (659*t[14])/64 - (143*t[15])/288 - 
       2*t[19] + 2*t[20] + 2*t[21] - t[22] - 2*t[23] + (35*t[26])/12 + 
       t[27] - t[29] - t[32] + t[33] + t[34]/2 + (2*t[36])/3 + 2*t[37] - 
       (41*t[38])/12 - t[39] + 2*t[40] + t[41]/4 - t[42]/4 - t[45] + 
       (17*t[46])/12 + (5*t[48])/8 - (43*t[49])/32 - (35*t[50])/8 - 
       (43*t[51])/64 + (15*t[52])/8 + (41*t[53])/96 + (5*t[54])/4 + 
       (29*t[59])/24 - (439*t[60])/48 - (1261*t[61])/48 + (1597*t[62])/96 + 
       (223*t[63])/96 + (569*t[64])/96 + (493*t[65])/72 + (1145*t[66])/72 - 
       t[69]/3 - 2*t[72] - t[73]/3 - t[74]/3 + 3*t[75] + 4*t[76] - 
       (17*t[78])/2 + t[79]/3 + 9*t[80] - t[81]/3 + (7*t[82])/3 - 
       (5*t[83])/2 - (45*t[84])/8 + (41*t[85])/8 - 5*t[86] - (77*t[87])/12 - 
       (41*t[88])/12 + (113*t[89])/32 + (2*t[95])/3 + t[97]/2 + 48*t[98] - 
       54*t[99] + (23*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-11*t[1])/8 + (7*t[2])/8 - t[3] - 
       (1763*t[4])/192 - (91*t[5])/48 - (153*t[6])/32 + (7*t[7])/24 - 
       (13*t[8])/12 + (65*t[9])/24 - (2093*t[10])/384 - (929*t[11])/96 + 
       (1339*t[12])/384 - (467*t[13])/192 - (4967*t[14])/2304 + 
       (709*t[15])/384 - t[25]/2 + (5*t[26])/4 - t[27]/2 - t[28]/2 - 
       t[29]/2 - t[30]/4 + t[31]/4 - t[32]/2 + t[33]/2 + t[34]/4 + 
       (3*t[35])/2 + (7*t[36])/4 + t[37]/2 - t[38] - (3*t[39])/4 + 
       (3*t[40])/4 - t[41]/8 + t[42]/8 - t[43]/8 + t[44] - t[45]/2 + 
       t[46]/8 + t[47]/2 - (5*t[48])/32 + (901*t[49])/384 + (3*t[50])/32 + 
       (325*t[51])/256 + (5*t[52])/32 + (275*t[53])/384 + (505*t[54])/64 - 
       t[58]/4 + t[59]/4 - (2495*t[60])/192 - (1179*t[61])/64 + 
       (2249*t[62])/384 + (4439*t[63])/384 + (227*t[64])/384 + 
       (331*t[65])/576 - (2059*t[66])/576 - t[69]/2 - t[70]/2 + t[71]/2 - 
       (3*t[72])/2 - (3*t[73])/4 - (5*t[74])/4 + (17*t[75])/4 + (5*t[76])/4 - 
       t[77] - t[78]/4 - (9*t[79])/2 + (5*t[80])/2 + (5*t[81])/4 - t[82]/4 + 
       t[83]/12 - (331*t[84])/64 - (51*t[85])/64 + (14*t[86])/3 - 
       (931*t[87])/192 - (2755*t[88])/384 - (671*t[89])/128 + 2*t[95] + 
       t[96] - t[97]/2 + 12*t[98] - 10*t[99] + (23*t[100])/2) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - w]*(2*t[1] + t[3] + 28*t[4] + 
       t[5]/2 - (3*t[6])/2 - (3*t[7])/2 - (7*t[8])/2 - (3*t[9])/2 + 
       (63*t[10])/4 - (5*t[11])/2 - (47*t[12])/4 - (20*t[13])/3 + 
       (205*t[14])/24 - (11*t[15])/3 - 2*t[25] + 2*t[38] - 6*t[46] - 
       (3*t[48])/2 + (61*t[49])/4 + t[50]/2 - (5*t[51])/8 - t[52]/2 - 
       (61*t[53])/4 - (7*t[54])/2 + t[59] + 18*t[60] - (19*t[61])/2 - 
       4*t[62] + (7*t[63])/2 - (97*t[64])/2 - 20*t[65] - 5*t[66] + 6*t[69] - 
       3*t[70] + 3*t[71] + (7*t[83])/2 + 2*t[84] + 4*t[85] - 2*t[86] - 
       21*t[87] - (21*t[88])/2 - 9*t[89] + 12*t[100]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*((-5*t[3])/4 + (33*t[4])/8 - 
       (49*t[5])/8 - (15*t[6])/8 - 2*t[7] - (15*t[8])/2 + (25*t[9])/8 + 
       (225*t[10])/16 - (47*t[11])/8 - (105*t[12])/16 - (29*t[13])/6 + 
       (673*t[14])/96 - (43*t[15])/24 + t[27]/2 - 2*t[46] - (23*t[48])/8 + 
       (87*t[49])/16 + (13*t[50])/8 - (61*t[51])/32 - (13*t[52])/8 - 
       (79*t[53])/16 - (5*t[54])/4 - (15*t[60])/8 - (3*t[61])/8 - 
       (115*t[62])/16 + (171*t[63])/16 - (205*t[64])/16 - (119*t[65])/24 - 
       (47*t[66])/8 - t[72] + (3*t[76])/2 - 2*t[79] + t[81] - 2*t[82] + 
       5*t[83] - (17*t[84])/8 + (7*t[85])/8 + 2*t[86] - (7*t[87])/8 - 
       (7*t[88])/16 - (49*t[89])/16 + 12*t[100]) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((7*t[3])/4 + (3*t[4])/8 + (61*t[5])/8 + 
       (13*t[6])/8 - 2*t[7] + (7*t[8])/2 - (43*t[9])/8 - (63*t[10])/16 - 
       (15*t[11])/8 + (55*t[12])/16 + (9*t[13])/4 - (143*t[14])/96 + t[15] + 
       t[27] - t[29] + (11*t[48])/8 - (21*t[49])/16 - (9*t[50])/8 + 
       (59*t[51])/32 + (9*t[52])/8 + (21*t[53])/16 + (15*t[54])/4 + 
       (29*t[60])/8 - (81*t[61])/8 + (229*t[62])/16 - (37*t[63])/16 - 
       (65*t[64])/16 - (65*t[65])/24 + (27*t[66])/8 - t[72]/2 + (3*t[76])/2 + 
       2*t[79] - t[81] + 4*t[82] - 4*t[83] - (3*t[84])/8 - (7*t[85])/8 - 
       12*t[86] - (9*t[87])/8 - (9*t[88])/16 - (41*t[89])/16 + 12*t[100]) + 
     B10[u, v, w]*HPL[{1}, 1 - v]*(-t[5]/2 - t[7] - t[8] + t[9]/2 + t[10] + 
       t[11] + t[12]/2 + t[14]/2 - t[15]/12 - t[60] + 2*t[61] + t[62] + 
       2*t[63] - t[64] - t[65]/3 - 2*t[66] - 4*t[86] - t[89] + 12*t[100]) + 
     B10[v, w, u]*HPL[{1}, 1 - u]*(t[3] - 2*t[4] + (7*t[5])/2 - 3*t[6] - 
       t[7] - 3*t[8] - (9*t[9])/2 + t[10] - 2*t[11] - t[12]/2 - t[13]/2 - 
       (25*t[14])/6 + (11*t[15])/12 + 2*t[50] - 2*t[52] - 2*t[54] - 6*t[60] - 
       6*t[61] + 2*t[62] + 6*t[63] + 3*t[64] + (5*t[65])/3 + 11*t[66] - 
       2*t[81] + 2*t[82] + 2*t[83] - t[84] - 2*t[85] + 4*t[87] + 2*t[88] - 
       t[89] + 12*t[100]) + D26[u, w, v]*(4*t[1] + t[3] + t[4] + t[5]/2 - 
       (3*t[6])/2 - t[7] - 3*t[8] - (3*t[9])/2 + 4*t[10] + (3*t[11])/2 - 
       (9*t[12])/2 - (29*t[13])/6 - t[14] - (11*t[15])/12 - 4*t[25] + t[26] + 
       4*t[38] + 4*t[46] - (3*t[48])/2 - 5*t[49] + t[50]/2 - 2*t[51] - 
       t[52]/2 - t[54]/2 - 2*t[59] - t[60] - 15*t[61] - t[62]/2 - 
       (11*t[63])/2 - t[64]/2 - (13*t[65])/3 + 5*t[66] - t[84] + t[85] - 
       4*t[87] - 2*t[88] - t[89]/2 + 12*t[100]) + 
     D26[v, w, u]*(9*t[4] + t[5] - t[9] + t[10] - 6*t[11] - 3*t[12] + 
       (2*t[13])/3 - (5*t[14])/6 - t[15]/6 + 2*t[37] - 4*t[46] + 5*t[49] + 
       (3*t[51])/2 - 5*t[53] + 2*t[60] - 4*t[61] + 2*t[62] + 2*t[63] - 
       8*t[64] + 2*t[65] + (8*t[66])/3 - 4*t[70] + 4*t[71] - 5*t[87] - 
       (5*t[88])/2 + 2*t[89] + 12*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((-32*t[1])/3 + t[3]/3 - 
       (161*t[4])/6 + (13*t[5])/3 + (7*t[6])/8 - (10*t[7])/3 - 4*t[8] - 
       (14*t[9])/3 + (19*t[10])/24 - (115*t[11])/8 + (237*t[12])/8 - 
       (191*t[13])/18 - (3253*t[14])/144 + (713*t[15])/72 - (2*t[25])/3 + 
       (34*t[26])/3 + (10*t[36])/3 - (32*t[38])/3 - t[46] + (7*t[48])/8 - 
       (31*t[49])/8 + (37*t[50])/24 + (233*t[51])/48 - (37*t[52])/24 + 
       (83*t[53])/8 + (11*t[54])/8 + (37*t[59])/6 - (131*t[60])/3 - 
       (21*t[61])/4 + (347*t[62])/12 + (235*t[63])/12 + (533*t[64])/24 + 
       (1169*t[65])/36 + (953*t[66])/12 + 2*t[69] - t[73] + (2*t[74])/3 - 
       t[75] + 4*t[79] - (11*t[81])/6 + (11*t[82])/6 + 7*t[83] - 
       (13*t[84])/4 - (16*t[85])/3 - 12*t[86] + (67*t[87])/4 + 
       (205*t[88])/24 + (199*t[89])/12 - (4*t[95])/3 + 12*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-91*t[1])/2 - (7*t[2])/2 + 62*t[3] - (1105*t[4])/8 + (1239*t[5])/8 - 
       (1909*t[6])/8 - 16*t[7] - 74*t[8] - (1707*t[9])/8 - (6745*t[10])/16 - 
       (3505*t[11])/8 - (1455*t[12])/16 - (16693*t[13])/72 - 
       (10649*t[14])/96 - (267*t[15])/8 - 72*t[25] + 11*t[26] - 8*t[27] - 
       42*t[28] - 24*t[30] + 8*t[31] - 10*t[34] + 84*t[35] + 219*t[36] - 
       7*t[37] - 27*t[38] - 60*t[39] + t[40] + 5*t[41] - 5*t[42] - 12*t[43] + 
       30*t[44] - 43*t[45] + 12*t[46] + 86*t[47] - (605*t[48])/8 + 
       (2893*t[49])/16 - (453*t[50])/8 - (787*t[51])/32 + (213*t[52])/8 - 
       (989*t[53])/16 + 100*t[54] - 10*t[58] + 22*t[59] - (3385*t[60])/8 - 
       (2733*t[61])/8 + (1317*t[62])/16 + (5595*t[63])/16 - (1645*t[64])/16 + 
       (337*t[65])/24 + (14971*t[66])/24 + 18*t[68] - 2*t[70] + 2*t[71] - 
       66*t[73] - 165*t[74] + 66*t[75] - 31*t[76] - 23*t[77] + 37*t[78] - 
       180*t[79] + 198*t[80] - (61*t[81])/2 + (241*t[82])/2 + 34*t[83] - 
       (1803*t[84])/8 - (25*t[85])/8 + 198*t[86] - (1575*t[87])/8 - 
       (3559*t[88])/16 - (2723*t[89])/16 + t[91] - 6*t[93] + 66*t[95] + 
       86*t[96] + 30*t[97] + 1320*t[98] - 1692*t[99] + 12*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u]*((5*t[1])/2 - 17*t[2] + 
       31*t[3] + (2759*t[4])/8 - (949*t[5])/8 - (2885*t[6])/8 + 51*t[7] - 
       318*t[8] + (1037*t[9])/8 + (5209*t[10])/16 - (459*t[11])/8 - 
       (2913*t[12])/16 + (509*t[13])/8 + (7641*t[14])/32 - (1589*t[15])/12 + 
       6*t[16] + 64*t[25] + 13*t[26] + 80*t[27] + 24*t[28] + 42*t[30] + 
       22*t[31] - 10*t[34] - 48*t[35] + 39*t[36] + 77*t[37] + 7*t[38] + 
       46*t[39] - 3*t[40] + 5*t[41] - 5*t[42] + 21*t[43] + 24*t[44] - 
       7*t[45] - 11*t[46] + 14*t[47] - (1077*t[48])/8 + (2559*t[49])/16 - 
       (957*t[50])/8 - (2435*t[51])/32 + (717*t[52])/8 - (1647*t[53])/16 + 
       168*t[54] - 10*t[58] + 7*t[59] + (397*t[60])/8 - (1485*t[61])/8 - 
       (1899*t[62])/16 + (1187*t[63])/16 + (3683*t[64])/16 - (8849*t[65])/8 - 
       (28853*t[66])/24 - 78*t[68] - 26*t[70] + 26*t[71] - 32*t[72] - 
       84*t[73] - 15*t[74] + 84*t[75] + 289*t[76] + 3*t[77] - 365*t[78] + 
       24*t[79] + 82*t[80] + (75*t[81])/2 - (187*t[82])/2 + 58*t[83] - 
       (1675*t[84])/8 + (527*t[85])/8 + 66*t[86] - (4943*t[87])/8 - 
       (6927*t[88])/16 - (2741*t[89])/16 - t[91] - 6*t[93] + 66*t[95] + 
       98*t[96] + 30*t[97] + 1320*t[98] - 1692*t[99] + 12*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((7*t[1])/6 - (35*t[2])/6 + (41*t[3])/6 + (323*t[4])/12 + 
       (229*t[5])/12 - t[6]/2 + (13*t[7])/3 + (2*t[8])/3 - (223*t[9])/12 + 
       (95*t[10])/24 + (79*t[11])/3 + (73*t[12])/24 + (1279*t[13])/54 - 
       (1445*t[14])/144 - (55*t[15])/18 + 2*t[25] - (5*t[26])/3 + 
       (2*t[27])/3 - 2*t[28] + 2*t[29] - (8*t[31])/3 + 2*t[32] - 2*t[33] - 
       (5*t[34])/3 - (2*t[37])/3 + (2*t[38])/3 - t[39] + (2*t[40])/3 + 
       (5*t[41])/6 - (5*t[42])/6 - (2*t[45])/3 - 4*t[46] + (10*t[47])/3 - 
       2*t[48] - (11*t[49])/24 - (19*t[50])/3 + (101*t[51])/48 + 
       (4*t[52])/3 - (125*t[53])/24 - (71*t[54])/4 + t[58]/3 + (7*t[59])/6 + 
       (529*t[60])/12 + (293*t[61])/12 - (691*t[62])/24 - (1349*t[63])/24 + 
       (51*t[64])/8 - (223*t[65])/12 - (131*t[66])/36 + (8*t[70])/3 - 
       (8*t[71])/3 - 4*t[75] + (10*t[76])/3 + (2*t[77])/3 - (19*t[78])/3 + 
       8*t[79] + 2*t[80] - (25*t[81])/3 + (10*t[82])/3 - (10*t[83])/3 - 
       (9*t[84])/4 - (71*t[85])/12 + (55*t[87])/12 + (125*t[88])/8 + 
       (69*t[89])/8 - 4*t[95] + (4*t[96])/3 + 5*t[97] + 16*t[98] - 24*t[99] + 
       12*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*
      ((7*t[1])/24 + (11*t[3])/24 - (5831*t[4])/144 + (371*t[5])/576 - 
       (67*t[6])/64 - (85*t[7])/144 - (217*t[8])/144 - (635*t[9])/576 + 
       (223*t[10])/288 - (13345*t[11])/576 + (9047*t[12])/576 - 
       (9901*t[13])/864 - (46567*t[14])/3456 + (9041*t[15])/1152 - 
       (2*t[25])/3 + (3*t[26])/8 + (11*t[36])/8 + (19*t[37])/24 + 
       (7*t[38])/24 - (61*t[46])/16 - (67*t[48])/64 + (41*t[49])/36 - 
       (25*t[50])/192 + (4291*t[51])/384 + (25*t[52])/192 + 
       (1045*t[53])/144 + (1143*t[54])/64 + (9*t[59])/16 - 
       (16489*t[60])/288 - (695*t[61])/48 + (607*t[62])/36 + 
       (1261*t[63])/36 + (16127*t[64])/288 + (11741*t[65])/432 + 
       (13799*t[66])/432 + (11*t[69])/12 - (5*t[70])/12 + (5*t[71])/12 + 
       3*t[73] - (83*t[74])/24 + (21*t[75])/2 - (25*t[79])/12 + 
       (23*t[81])/48 - (23*t[82])/48 - (98*t[83])/9 - (291*t[84])/16 - 
       (1589*t[85])/96 - (19*t[86])/36 + (6115*t[87])/288 + 
       (4867*t[88])/576 - (773*t[89])/64 + (16*t[95])/3 + (155*t[100])/12) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((13*t[1])/36 + (41*t[2])/48 + (67*t[3])/72 - (521*t[4])/288 + 
       (767*t[5])/288 + (289*t[6])/96 + (49*t[7])/48 + (743*t[8])/144 - 
       (319*t[9])/96 + (1201*t[10])/192 - (2599*t[11])/288 + 
       (1085*t[12])/576 - (8857*t[13])/864 - (193*t[14])/3456 + 
       (527*t[15])/432 - (13*t[25])/9 + (4*t[26])/3 - (5*t[27])/6 - t[28]/4 - 
       t[30]/2 - (2*t[31])/3 + t[34]/12 + t[38]/9 - t[39]/2 - t[40]/3 - 
       t[41]/24 + t[42]/24 - t[43]/4 + t[44]/4 + t[45]/12 - (14*t[46])/3 - 
       t[47]/6 + (121*t[48])/96 + (3629*t[49])/576 + (323*t[50])/288 + 
       (4901*t[51])/1152 - (107*t[52])/288 - (1409*t[53])/576 + 
       (731*t[54])/144 + t[58]/12 + (41*t[59])/24 - (599*t[60])/96 - 
       (2123*t[61])/288 + (631*t[62])/192 + (6067*t[63])/576 - 
       (4579*t[64])/576 - (581*t[65])/288 + (2039*t[66])/96 + (19*t[69])/6 - 
       (5*t[70])/3 + (5*t[71])/3 + (3*t[72])/2 + (5*t[73])/4 - (2*t[74])/3 + 
       (13*t[75])/12 - (35*t[76])/12 - t[77]/3 + (23*t[78])/12 + t[79]/12 - 
       (3*t[80])/2 - (10*t[81])/3 + (25*t[82])/12 - (32*t[83])/9 - 
       (415*t[84])/288 - (1379*t[85])/288 + (59*t[86])/36 - (409*t[87])/96 - 
       (99*t[88])/64 - (607*t[89])/64 + t[95]/2 - (2*t[96])/3 - t[97]/2 - 
       17*t[98] + 14*t[99] + (41*t[100])/3) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*((-227*t[1])/288 + (13*t[2])/48 - 
       (721*t[3])/288 + (7*t[4])/36 - (829*t[5])/576 + (73*t[6])/48 - 
       (43*t[7])/24 + (175*t[8])/144 + (111*t[9])/64 + (167*t[10])/48 - 
       (397*t[11])/144 + (1693*t[12])/576 + (7433*t[13])/1728 + 
       (125*t[14])/108 + (4427*t[15])/3456 + t[25]/36 + (53*t[26])/48 + 
       t[27]/12 + (5*t[28])/8 - t[30]/4 + (11*t[31])/12 - (13*t[34])/48 - 
       t[35]/4 + (9*t[36])/8 + (2*t[37])/3 - (17*t[38])/18 + (3*t[39])/4 - 
       (25*t[40])/24 + (13*t[41])/96 - (13*t[42])/96 - t[43]/8 + t[44]/8 + 
       (5*t[45])/12 + (37*t[46])/24 - (5*t[47])/6 + (5*t[48])/6 - 
       (269*t[49])/144 - (35*t[50])/72 - (1051*t[51])/576 + (169*t[52])/144 + 
       (379*t[53])/288 + (383*t[54])/288 + (5*t[58])/48 + (89*t[59])/288 - 
       (103*t[60])/48 - (1501*t[61])/288 + (497*t[62])/48 - (623*t[63])/72 - 
       (4547*t[64])/576 + (47*t[65])/9 - (223*t[66])/48 + t[69]/6 - t[72]/2 - 
       (25*t[73])/24 + t[74]/8 + (17*t[75])/8 + (17*t[76])/48 + 
       (17*t[77])/24 + (17*t[78])/24 - (5*t[79])/8 - (9*t[80])/8 + 
       (37*t[81])/24 - (31*t[82])/24 - (11*t[83])/18 - (31*t[84])/144 + 
       (5*t[85])/288 - (919*t[86])/72 + (35*t[87])/16 + (43*t[88])/96 + 
       (257*t[89])/32 + t[95]/2 + (2*t[96])/3 + t[97]/16 + t[98]/2 - 
       (3*t[99])/2 + (83*t[100])/6) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*(t[1]/3 + (7*t[3])/6 + (263*t[4])/12 + 
       (25*t[5])/12 - 2*t[6] + t[7]/2 - (11*t[8])/6 - (13*t[9])/4 - 
       (57*t[10])/8 + (16*t[11])/3 + (151*t[12])/24 - (71*t[13])/18 - 
       (1079*t[14])/144 - (139*t[15])/36 - (7*t[25])/3 + 2*t[26] + t[27] + 
       2*t[37] + t[38]/3 - 7*t[46] - t[48] + (115*t[49])/24 + (4*t[50])/3 + 
       (331*t[51])/48 - (4*t[52])/3 - (115*t[53])/24 - (115*t[54])/12 + 
       (10*t[59])/3 + (63*t[60])/4 - (259*t[61])/12 - (43*t[62])/8 - 
       (271*t[63])/24 - (809*t[64])/24 - (149*t[65])/12 + (53*t[66])/12 + 
       10*t[69] - 5*t[70] + 5*t[71] + 2*t[73] - 2*t[74] - 2*t[75] - 3*t[76] - 
       2*t[79] - t[81] + t[82] + (29*t[83])/6 + (61*t[84])/12 + 
       (95*t[85])/12 + (20*t[86])/3 - (61*t[87])/4 - (61*t[88])/8 - 
       (7*t[89])/8 + 14*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-8*t[1])/3 + (9*t[3])/8 - 
       (385*t[4])/12 + (367*t[5])/48 + (27*t[6])/16 + (23*t[7])/24 + 
       (161*t[8])/24 - (217*t[9])/48 - (497*t[10])/12 + (95*t[11])/48 + 
       (1723*t[12])/48 + (2225*t[13])/144 - (137*t[14])/4 + (853*t[15])/96 - 
       t[25]/2 + (8*t[26])/3 - t[27]/2 - (4*t[36])/3 - (13*t[38])/6 + 
       (13*t[46])/2 + (43*t[48])/16 - (577*t[49])/24 - (17*t[50])/16 + 
       (83*t[51])/8 + (17*t[52])/16 + (571*t[53])/24 + (463*t[54])/48 + 
       (4*t[59])/3 - (791*t[60])/24 - (601*t[61])/24 + (1873*t[62])/48 - 
       (1781*t[63])/48 + (1021*t[64])/16 + (2507*t[65])/72 + (839*t[66])/24 + 
       2*t[69] + t[72] + 3*t[73] - (2*t[74])/3 + 10*t[75] - (3*t[76])/2 - 
       t[79] + t[80] - (7*t[81])/6 + (13*t[82])/6 - (46*t[83])/3 - 
       (185*t[84])/24 - (245*t[85])/24 - (23*t[86])/3 + (285*t[87])/8 + 
       (847*t[88])/48 + (599*t[89])/48 + (4*t[95])/3 + (29*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[v, u, w]*((-8*t[1])/3 + 2*t[2] + 
       3*t[3] + (2*t[4])/3 - (61*t[5])/24 + t[6]/4 - (5*t[7])/3 - 
       (20*t[8])/3 + (67*t[9])/24 - (157*t[10])/24 - (16*t[11])/3 + 
       (7*t[12])/3 - (31*t[13])/18 - (145*t[14])/24 - (83*t[15])/48 + 
       (5*t[26])/3 + t[34] - t[36]/3 - (13*t[38])/6 - t[39]/2 - t[41]/2 + 
       t[42]/2 - (3*t[48])/2 - (109*t[49])/24 + (9*t[50])/2 + (5*t[51])/8 - 
       (7*t[52])/2 + (49*t[53])/24 - (13*t[54])/6 + t[59]/3 - t[60]/12 - 
       (56*t[61])/3 + (199*t[62])/12 + (109*t[63])/12 - (53*t[64])/4 + 
       (457*t[65])/36 + (79*t[66])/4 + t[69] + t[74]/3 - 4*t[76] - t[77] + 
       5*t[78] - 2*t[80] + (5*t[81])/6 + (7*t[82])/6 + t[83]/6 + 
       (89*t[84])/12 + (43*t[85])/6 - (2*t[86])/3 - t[87] - t[88]/6 + 
       (67*t[89])/24 - (2*t[95])/3 - 3*t[96] - 2*t[97] - 24*t[98] + 
       24*t[99] + (29*t[100])/2) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-7*t[1])/18 - t[2]/8 - (53*t[3])/144 + 
       (161*t[4])/72 - (529*t[5])/96 + t[6]/48 - (629*t[7])/144 - 
       (47*t[8])/144 + (1075*t[9])/288 - (61*t[10])/8 - (1237*t[11])/144 + 
       (1121*t[12])/288 - (2089*t[13])/864 - (3827*t[14])/432 - 
       (6809*t[15])/1728 - (2*t[25])/3 + t[26] + t[31]/6 + (13*t[35])/6 + 
       (5*t[37])/9 - t[38]/3 - (15*t[43])/8 - (3*t[44])/2 - (5*t[45])/2 - 
       (25*t[46])/6 + (13*t[47])/2 - (35*t[48])/24 + (51*t[49])/16 + 
       (13*t[50])/24 + (335*t[51])/96 - (13*t[52])/24 + (21*t[53])/16 - 
       (3*t[54])/4 + t[59]/36 - (31*t[60])/3 - (137*t[61])/6 + 
       (1709*t[62])/144 + (991*t[63])/144 + (1651*t[64])/72 + (89*t[65])/24 + 
       (1733*t[66])/54 + t[67]/12 + (2*t[69])/3 - (5*t[70])/6 + 
       (13*t[71])/18 + t[73] - (4*t[74])/3 + (7*t[75])/2 - t[77]/2 - 
       t[79]/3 + (7*t[80])/2 - (13*t[81])/12 + (25*t[82])/12 - 
       (65*t[83])/12 - (7*t[84])/3 - (5*t[85])/8 + (31*t[86])/9 + 
       (13*t[87])/8 + (13*t[88])/16 + (34*t[89])/9 - 2*t[99] + 
       (59*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-451*t[3])/72 + (125*t[4])/24 - (175*t[5])/72 + 
       (713*t[6])/96 - (217*t[7])/24 + (307*t[8])/72 + (791*t[9])/144 + 
       (199*t[10])/48 - (253*t[11])/96 + (139*t[12])/48 + (16*t[13])/3 + 
       (221*t[14])/24 + (1067*t[15])/864 + (8*t[28])/3 + (11*t[29])/12 - 
       (5*t[30])/6 - (3*t[32])/2 + (3*t[33])/2 - (3*t[35])/2 - (5*t[36])/2 - 
       (3*t[43])/4 - (187*t[44])/36 + (713*t[48])/288 - t[49]/16 - 
       (253*t[50])/96 + (43*t[51])/96 + (253*t[52])/96 + t[53]/16 + 
       (1871*t[54])/288 + (221*t[60])/16 - (281*t[61])/48 + 
       (4387*t[62])/288 - (1337*t[63])/96 - (1925*t[64])/96 - 
       (1303*t[65])/144 - (3347*t[66])/432 + (3*t[74])/2 + (17*t[75])/3 + 
       (3*t[77])/2 + (3*t[78])/2 - (4*t[79])/3 - 3*t[80] + (7*t[81])/3 - 
       (11*t[82])/6 - (20*t[83])/3 + (257*t[84])/144 + (43*t[85])/48 - 
       22*t[86] - (1795*t[87])/144 - (1795*t[88])/288 + (1391*t[89])/288 - 
       2*t[99] + (59*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*((7*t[1])/2 - (199*t[4])/8 - (5*t[5])/8 - 
       (3*t[6])/2 - (13*t[7])/4 - (13*t[8])/4 + (5*t[9])/8 - (35*t[10])/8 - 
       (151*t[11])/8 + 14*t[12] - (11*t[13])/3 - (59*t[14])/4 + 
       (93*t[15])/16 - (7*t[26])/2 + t[36] + (7*t[38])/2 + (3*t[46])/2 - 
       (3*t[48])/2 - (11*t[49])/8 - (3*t[50])/2 + (57*t[51])/8 + 
       (3*t[52])/2 + (47*t[53])/8 + (121*t[54])/8 + (13*t[59])/8 - 
       (61*t[60])/2 - 34*t[61] + (67*t[62])/2 + (23*t[63])/4 + 
       (309*t[64])/8 + (475*t[65])/24 + (167*t[66])/8 + 6*t[69] - 3*t[70] + 
       3*t[71] + 3*t[73] - 4*t[74] + 15*t[75] - 3*t[79] + 2*t[81] - 2*t[82] - 
       (31*t[83])/2 - (109*t[84])/8 - (85*t[85])/8 - 13*t[86] + 
       (135*t[87])/8 + (83*t[88])/16 - t[89]/2 + 8*t[95] + 15*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*(-3*t[2] - t[3]/2 + 
       (21*t[4])/2 - (43*t[5])/4 - 3*t[6] + 4*t[7] - (23*t[8])/2 + 
       (53*t[9])/4 - 31*t[10] + (31*t[11])/2 - (41*t[12])/4 + (71*t[13])/12 - 
       (40*t[14])/3 - (53*t[15])/8 + (3*t[19])/2 - 3*t[20] - 3*t[21] + 
       3*t[23] + 5*t[27] - (3*t[37])/2 + 8*t[39] - 8*t[40] - (3*t[41])/2 + 
       (3*t[42])/2 + t[46] - 10*t[48] - (3*t[49])/2 - 7*t[50] - 2*t[51] + 
       4*t[52] + (3*t[53])/2 - 17*t[54] - t[55] + 18*t[60] - (107*t[61])/2 + 
       (35*t[62])/2 - (143*t[63])/2 - (53*t[64])/4 + (91*t[65])/6 - 
       (133*t[66])/6 - 3*t[72] + 30*t[76] + 8*t[77] - 49*t[78] + 
       (5*t[81])/2 - 11*t[82] + t[84]/2 + (69*t[85])/2 - 17*t[87] - 
       (17*t[88])/2 + 22*t[89] + 144*t[98] - 192*t[99] + 15*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*(-2*t[1] + 3*t[2] + 
       (9*t[3])/4 + 7*t[4] - (9*t[5])/8 - (47*t[6])/8 - (15*t[7])/4 - 
       (21*t[8])/4 - (57*t[9])/8 + (29*t[10])/2 - (149*t[11])/8 - 
       (141*t[12])/8 + (197*t[13])/8 - (35*t[14])/4 - (325*t[15])/48 + 
       3*t[20] + 3*t[21] - 3*t[23] - (3*t[26])/2 + 3*t[31] + (7*t[38])/2 + 
       (3*t[41])/2 - (3*t[42])/2 - (3*t[46])/2 - (47*t[48])/8 + 
       (17*t[49])/4 - (35*t[50])/8 + (59*t[52])/8 - (17*t[53])/4 - 
       (101*t[54])/8 - (35*t[59])/4 + (107*t[60])/4 - (291*t[61])/4 + 
       (341*t[62])/8 - (233*t[63])/8 - (35*t[64])/8 - (17*t[65])/4 - 
       (637*t[66])/12 - t[68] - 3*t[69] + 3*t[70] - 3*t[71] - 6*t[72] + 
       6*t[76] - 17*t[78] + (5*t[81])/2 - t[82] - (5*t[84])/4 + 
       (105*t[85])/4 - (69*t[87])/4 - (69*t[88])/8 + (323*t[89])/8 + t[90] + 
       144*t[98] - 192*t[99] + 15*t[100]) + HPL[{0, 1}, 1 - u]*M1[w, u, v]*
      ((-3*t[1])/2 + (13*t[2])/4 + t[3]/2 - (263*t[4])/16 - (117*t[5])/16 + 
       (131*t[6])/16 - (11*t[7])/4 + (21*t[8])/4 + (49*t[9])/16 - 
       (161*t[10])/32 - (359*t[11])/16 + (85*t[12])/32 - (221*t[13])/16 - 
       (995*t[14])/192 - (49*t[15])/144 - 2*t[25] + 4*t[26] - t[28] + t[31] + 
       t[34]/2 + 2*t[35] - t[36]/2 - (7*t[37])/2 - 2*t[38] - t[40] - 
       t[41]/4 + t[42]/4 + t[44] + t[45]/2 + t[46] - t[47] + (43*t[48])/16 - 
       (95*t[49])/32 + (83*t[50])/16 - (117*t[51])/64 - (11*t[52])/16 + 
       (111*t[53])/32 + (37*t[54])/8 + t[58]/2 - (381*t[60])/16 - 
       (359*t[61])/16 + (1051*t[62])/32 + (477*t[63])/32 - (127*t[64])/32 + 
       (381*t[65])/16 + (627*t[66])/16 + t[69] - 2*t[72] + 2*t[73] - 
       t[74]/2 - 2*t[75] - (9*t[76])/2 - (3*t[77])/2 + (13*t[78])/2 - 
       9*t[80] - (9*t[81])/4 + (7*t[82])/4 - 2*t[83] + (55*t[84])/16 + 
       (113*t[85])/16 - 3*t[86] + (295*t[87])/16 + (151*t[88])/32 + 
       (233*t[89])/32 - t[95] - 2*t[96] - 3*t[97] - 24*t[98] + 30*t[99] + 
       15*t[100]) + HPL[{0, 1}, 1 - u]*M1[v, w, u]*((-47*t[1])/12 + 
       (37*t[2])/12 - (17*t[3])/12 - (743*t[4])/48 - (135*t[5])/16 + 
       (593*t[6])/48 - (3*t[7])/2 + (13*t[8])/2 + (79*t[9])/16 - 
       (181*t[10])/96 - (1189*t[11])/48 + (689*t[12])/96 - (197*t[13])/16 - 
       (803*t[14])/576 + (377*t[15])/144 + t[25]/3 + (23*t[26])/6 - t[27]/3 - 
       t[28] - t[30] + t[31]/3 + (2*t[34])/3 + 2*t[35] - t[36]/2 - 
       (11*t[37])/6 - (25*t[38])/6 - t[39]/6 - t[40]/6 - t[41]/3 + t[42]/3 - 
       t[43]/2 + 2*t[44] + (7*t[45])/6 - (2*t[46])/3 - (7*t[47])/3 + 
       (43*t[48])/16 - (137*t[49])/32 + (91*t[50])/16 + (59*t[51])/192 - 
       (27*t[52])/16 + (57*t[53])/32 + (25*t[54])/4 + (2*t[58])/3 + 
       (5*t[59])/6 - (853*t[60])/48 - (251*t[61])/48 + (2627*t[62])/96 + 
       (1733*t[63])/96 - (787*t[64])/96 + (5395*t[65])/144 + 
       (6905*t[66])/144 + t[70]/3 - t[71]/3 - (2*t[72])/3 + 2*t[73] - 
       t[74]/2 - 2*t[75] - (29*t[76])/3 - (11*t[77])/6 + (83*t[78])/6 - 
       (38*t[80])/3 - (11*t[81])/4 + t[82]/12 - (2*t[83])/3 + 
       (235*t[84])/48 + (121*t[85])/48 - 5*t[86] + (935*t[87])/48 + 
       (365*t[88])/32 + (889*t[89])/96 - t[95] - (16*t[96])/3 - 3*t[97] - 
       52*t[98] + 54*t[99] + 15*t[100]) + HPL[{0, 1}, 1 - v]*M1[v, w, u]*
      ((31*t[1])/12 + (37*t[2])/12 - (4*t[3])/3 - (431*t[4])/48 - 
       (409*t[5])/48 + (211*t[6])/16 + (5*t[7])/12 + (91*t[8])/12 + 
       (277*t[9])/48 - (563*t[10])/96 - (223*t[11])/48 + (359*t[12])/96 - 
       (671*t[13])/432 - (2839*t[14])/576 - (19*t[15])/24 - (11*t[26])/6 + 
       t[27]/3 + t[28] + t[30] - t[31]/3 + (2*t[34])/3 - 2*t[35] - 
       (3*t[36])/2 - (5*t[37])/6 + (11*t[38])/6 - t[39]/2 - (13*t[40])/6 - 
       t[41]/3 + t[42]/3 + t[43]/2 - 2*t[44] - (5*t[45])/6 + (5*t[47])/3 + 
       (51*t[48])/16 - (1009*t[49])/96 + (241*t[50])/48 + (1171*t[51])/192 - 
       (49*t[52])/48 + (737*t[53])/96 + (27*t[54])/4 + (2*t[58])/3 - 
       (5*t[59])/3 - (559*t[60])/48 - (875*t[61])/48 + (1411*t[62])/96 - 
       (1267*t[63])/96 + (903*t[64])/32 + (185*t[65])/48 + (485*t[66])/144 + 
       t[69] - (2*t[70])/3 + (2*t[71])/3 + 2*t[73] + t[74]/2 - 2*t[75] - 
       (25*t[76])/3 + (5*t[77])/6 + (53*t[78])/6 + 4*t[79] - 4*t[80] - 
       (35*t[81])/12 - (25*t[82])/12 - (2*t[83])/3 + (61*t[84])/16 - 
       (103*t[85])/48 + 3*t[86] + (1007*t[87])/48 + (389*t[88])/32 + 
       (77*t[89])/32 - t[95] - (10*t[96])/3 - 3*t[97] - 52*t[98] + 54*t[99] + 
       15*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((37*t[1])/24 + (37*t[2])/24 + t[3]/3 - (557*t[4])/96 - (391*t[5])/96 + 
       (167*t[6])/32 + (13*t[7])/12 - t[8]/3 + (355*t[9])/96 - 
       (533*t[10])/192 - (559*t[11])/96 + (41*t[12])/192 - (2693*t[13])/864 - 
       (7957*t[14])/1152 - (31*t[15])/48 - t[25]/2 - (11*t[26])/12 + 
       t[27]/6 + t[28]/2 + t[30]/2 - t[31]/6 + t[34]/3 - t[35] - 
       (3*t[36])/4 + t[37]/12 + (17*t[38])/12 - t[39]/2 - (7*t[40])/12 - 
       t[41]/6 + t[42]/6 + t[43]/4 + t[45]/12 + t[46] - t[47]/6 + 
       (31*t[48])/32 - (967*t[49])/192 + (277*t[50])/96 + (937*t[51])/384 - 
       (85*t[52])/96 + (695*t[53])/192 + (35*t[54])/16 + t[58]/3 - 
       (4*t[59])/3 - (205*t[60])/96 - (1757*t[61])/96 + (2305*t[62])/192 - 
       (1105*t[63])/192 + (353*t[64])/64 + (527*t[65])/96 + 
       (2363*t[66])/288 + t[70]/6 - t[71]/6 - t[72]/2 + t[73] + t[74]/4 - 
       t[75] - (53*t[76])/12 - t[77]/12 + (65*t[78])/12 + (7*t[79])/4 - 
       (9*t[80])/2 - (29*t[81])/24 - (19*t[82])/24 - t[83]/3 + 
       (71*t[84])/32 + (119*t[85])/96 - (3*t[86])/4 + (905*t[87])/96 + 
       (355*t[88])/64 + (343*t[89])/64 - t[95]/2 - (13*t[96])/6 - 
       (3*t[97])/2 - 26*t[98] + 28*t[99] + (63*t[100])/4) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-23*t[1])/24 + (37*t[2])/24 + t[3]/6 - (701*t[4])/96 - (63*t[5])/32 + 
       (491*t[6])/96 - (9*t[7])/4 + 7*t[8] + (35*t[9])/32 - (475*t[10])/192 - 
       (1255*t[11])/96 + (275*t[12])/192 - (1957*t[13])/288 - 
       (4961*t[14])/1152 + (91*t[15])/144 + t[25]/6 + (11*t[26])/12 - 
       t[27]/6 - t[28]/2 - t[30]/2 + t[31]/6 + t[34]/3 + t[35] - t[36]/4 - 
       (11*t[37])/12 - (13*t[38])/12 + t[39]/6 - (7*t[40])/12 - t[41]/6 + 
       t[42]/6 - t[43]/4 + t[45]/12 - t[46]/3 - t[47]/6 + (57*t[48])/32 - 
       (127*t[49])/64 + (65*t[50])/32 + (137*t[51])/384 - t[52]/32 + 
       (47*t[53])/64 + (19*t[54])/8 + t[58]/3 - t[59]/12 - (1063*t[60])/96 - 
       (1109*t[61])/96 + (2609*t[62])/192 + (839*t[63])/192 + 
       (443*t[64])/192 + (5077*t[65])/288 + (7859*t[66])/288 + t[70]/6 - 
       t[71]/6 - (5*t[72])/6 + t[73] - t[74]/4 - t[75] - (55*t[76])/12 + 
       t[77]/12 + (71*t[78])/12 - (23*t[80])/6 - (13*t[81])/8 + 
       (31*t[82])/24 - t[83]/3 + (229*t[84])/96 + (43*t[85])/96 + t[86]/2 + 
       (1301*t[87])/96 + (487*t[88])/64 + (1195*t[89])/192 - t[95]/2 - 
       (13*t[96])/6 - (3*t[97])/2 - 26*t[98] + 28*t[99] + (63*t[100])/4) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((10*t[1])/9 - (113*t[3])/72 - (139*t[4])/36 - (995*t[5])/144 - 
       (53*t[6])/24 - (23*t[7])/16 - (907*t[8])/144 + (179*t[9])/48 - 
       (95*t[10])/16 + (43*t[11])/9 - (1165*t[12])/144 + (6149*t[13])/432 + 
       (3713*t[14])/864 - (2159*t[15])/864 + (43*t[25])/18 - (7*t[26])/2 + 
       t[27]/2 - t[37]/12 + (10*t[38])/9 + (257*t[46])/24 - (65*t[48])/24 - 
       (989*t[49])/72 + (83*t[50])/72 - (2935*t[51])/288 - (83*t[52])/72 + 
       (329*t[53])/72 - (55*t[54])/36 - (23*t[59])/8 - (83*t[60])/12 + 
       (253*t[61])/72 - (20*t[62])/3 - (365*t[63])/36 + (3887*t[64])/144 + 
       (95*t[65])/36 - (611*t[66])/18 - (13*t[69])/3 + (13*t[70])/6 - 
       (13*t[71])/6 - t[72] - (7*t[73])/2 + t[74]/12 - (19*t[75])/6 + 
       (3*t[76])/2 - (23*t[79])/12 + (11*t[81])/4 - (15*t[82])/4 + 
       (475*t[83])/36 - (14*t[84])/9 + (139*t[85])/72 + (107*t[86])/36 + 
       (89*t[87])/4 + (89*t[88])/8 + (23*t[89])/2 - 4*t[99] + 
       (97*t[100])/6) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-14*t[1])/3 + (259*t[2])/24 + (445*t[3])/24 + 
       (147*t[4])/16 - (211*t[5])/24 - (161*t[6])/12 + (707*t[7])/24 - 
       (463*t[8])/4 + (145*t[9])/4 - (1309*t[10])/96 - (505*t[11])/24 - 
       (2285*t[12])/96 + (191*t[13])/108 + (269*t[14])/576 - 
       (13517*t[15])/864 + t[16]/12 + t[18]/2 - (5*t[19])/3 + t[20]/2 - 
       2*t[21] - t[22]/2 + 2*t[23] + t[24]/2 - t[25] + (2*t[26])/3 + 
       (7*t[28])/2 - (19*t[29])/6 + (11*t[30])/3 - (3*t[31])/2 - 
       (20*t[32])/3 + (5*t[33])/3 + 12*t[34] - t[35] + (23*t[36])/6 + 
       (2*t[37])/3 - (8*t[38])/3 + (11*t[39])/12 - (7*t[40])/4 - 
       (25*t[41])/6 + (19*t[42])/6 - t[43]/3 + (139*t[44])/12 - 
       (22*t[45])/3 - t[46]/6 + (10*t[47])/3 - (599*t[48])/24 - 
       (515*t[49])/96 + (653*t[50])/24 - (359*t[51])/64 - (541*t[52])/24 - 
       (413*t[53])/96 - (427*t[54])/16 - (13*t[59])/3 + (497*t[60])/48 - 
       (3505*t[61])/48 + (1741*t[62])/32 + (9209*t[63])/96 - 
       (8857*t[64])/96 - (107*t[65])/48 + (3817*t[66])/144 - t[68]/6 - 
       (7*t[69])/2 + t[70]/2 - t[71]/2 - 2*t[72] - 2*t[73] - 10*t[75] - 
       (79*t[76])/6 - (25*t[77])/6 + 16*t[78] - t[79] - 6*t[80] + 
       (73*t[81])/12 + (97*t[82])/12 + (68*t[83])/3 + (1325*t[84])/48 + 
       (653*t[85])/16 - 5*t[86] - (301*t[87])/16 - (477*t[88])/32 - 
       (1301*t[89])/96 - 2*t[95] - (26*t[96])/3 - (17*t[97])/2 - 80*t[98] + 
       95*t[99] + (33*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*((19*t[1])/48 + (17*t[2])/12 + (65*t[3])/24 - 
       (4325*t[4])/576 - (25*t[5])/576 - (55*t[6])/96 + (59*t[7])/144 - 
       (49*t[8])/36 - (611*t[9])/576 - (1079*t[10])/1152 - (1309*t[11])/144 - 
       (4313*t[12])/1152 - (12407*t[13])/1728 - (17651*t[14])/6912 - 
       (1073*t[15])/576 - (2*t[25])/3 - t[26]/24 + t[27]/3 - (3*t[28])/4 - 
       t[30]/8 - (17*t[31])/24 + (11*t[34])/24 + t[35]/2 + (3*t[36])/4 + 
       (5*t[37])/24 + (25*t[38])/48 - (55*t[39])/48 + (13*t[40])/24 - 
       (11*t[41])/48 + (11*t[42])/48 - t[43]/16 - (13*t[45])/24 - 
       (83*t[46])/48 + (13*t[47])/12 - (17*t[48])/16 - (41*t[49])/1152 + 
       (157*t[50])/48 + (625*t[51])/768 - (103*t[52])/48 + (893*t[53])/1152 + 
       (247*t[54])/192 + t[58]/12 - (9*t[59])/16 - (7421*t[60])/576 - 
       (953*t[61])/64 + (9101*t[62])/1152 + (20651*t[63])/1152 + 
       (8069*t[64])/1152 + (21935*t[65])/1728 + (43073*t[66])/1728 + 
       t[69]/6 - t[70]/12 + t[71]/12 - t[72]/3 + t[73]/2 - (5*t[74])/4 - 
       (13*t[75])/12 - (47*t[76])/24 - (17*t[77])/12 + (55*t[78])/24 + 
       (3*t[79])/4 - (4*t[80])/3 - (5*t[81])/8 + (23*t[82])/12 + 
       (5*t[83])/18 + (101*t[84])/192 + (175*t[85])/64 + (263*t[86])/36 + 
       (5171*t[87])/576 + (4907*t[88])/1152 - (629*t[89])/384 + t[95]/4 - 
       (37*t[96])/24 - (5*t[97])/4 - (25*t[98])/2 + 12*t[99] + 
       (103*t[100])/6) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^3*
      ((-31*t[1])/24 + (11*t[2])/24 + (23*t[3])/12 - (1159*t[4])/96 + 
       (169*t[5])/96 - (135*t[6])/32 + (11*t[7])/3 - (77*t[8])/12 + 
       (239*t[9])/96 - (1147*t[10])/192 - (965*t[11])/96 + (259*t[12])/192 - 
       (9175*t[13])/864 - (10079*t[14])/1152 + (49*t[15])/32 - t[19] - 
       t[20] - t[21] + t[22]/2 + t[23] - (3*t[25])/2 + (29*t[26])/12 + 
       t[27]/3 - t[28]/2 + t[30]/2 + t[31]/6 + t[34]/6 + t[35] + 
       (5*t[36])/4 + (23*t[37])/12 - (11*t[38])/12 - t[39]/4 + t[40]/12 - 
       (5*t[41])/6 + (5*t[42])/6 + t[43]/4 + 2*t[44] + (11*t[45])/12 + 
       (5*t[46])/2 - (11*t[47])/6 + (21*t[48])/32 - (353*t[49])/192 + 
       (167*t[50])/96 + (59*t[51])/384 - (119*t[52])/96 + (961*t[53])/192 + 
       (53*t[54])/16 + t[58]/6 - (2*t[59])/3 - (1547*t[60])/96 - 
       (2407*t[61])/96 + (2327*t[62])/192 + (745*t[63])/192 - 
       (557*t[64])/64 - (263*t[65])/96 + (3817*t[66])/288 - t[69] - t[70]/6 + 
       t[71]/6 - (7*t[72])/2 - t[73] - (3*t[74])/4 + t[75]/2 + (7*t[76])/6 - 
       (11*t[77])/12 - (23*t[78])/12 - (11*t[79])/4 - (7*t[80])/2 - 
       (73*t[81])/24 + (25*t[82])/24 + (17*t[83])/6 - (199*t[84])/32 + 
       (193*t[85])/96 - (5*t[86])/4 + (151*t[87])/96 - (275*t[88])/64 - 
       (95*t[89])/64 + (3*t[95])/2 + (5*t[96])/3 - t[97]/2 + 14*t[98] - 
       8*t[99] + (71*t[100])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-7*t[1] - 3*t[3] - (81*t[4])/2 - 
       (21*t[5])/4 + (15*t[6])/4 - (3*t[7])/2 - (3*t[8])/2 + (33*t[9])/4 - 
       (201*t[10])/8 - 16*t[11] + (417*t[12])/8 - (31*t[13])/12 - 
       (1693*t[14])/48 + (35*t[15])/2 + 7*t[26] + 3*t[28] + 3*t[31] - 
       3*t[35] - 5*t[36] - 7*t[38] + 3*t[39] - 3*t[40] + 3*t[45] + 3*t[46] - 
       6*t[47] - (3*t[48])/4 - (75*t[49])/8 - (15*t[50])/4 + (345*t[51])/16 + 
       (15*t[52])/4 + (159*t[53])/8 + (137*t[54])/4 + (7*t[59])/2 - 
       (243*t[60])/4 - (187*t[61])/4 + (317*t[62])/8 - (145*t[63])/8 + 
       (565*t[64])/8 + (29*t[65])/2 + (35*t[66])/6 + 9*t[69] + 6*t[73] - 
       t[74] + 9*t[75] + 3*t[77] + 3*t[78] - 6*t[79] - 6*t[80] + 5*t[81] - 
       5*t[82] - (21*t[83])/2 - (55*t[84])/2 - 26*t[85] - 24*t[86] - 
       11*t[87] - 8*t[88] - (97*t[89])/8 + 8*t[95] + 18*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (-t[1]/2 - t[2] + (27*t[3])/2 - (159*t[4])/8 + (151*t[5])/4 - 
       (27*t[6])/4 + (75*t[7])/4 - (121*t[8])/4 - 27*t[9] - (839*t[10])/16 + 
       (285*t[11])/4 + (397*t[12])/16 + (797*t[13])/36 - (913*t[14])/32 - 
       (91*t[15])/48 - t[16] + 4*t[26] - 4*t[28] - t[29] - 4*t[30] - 
       4*t[31] + t[34] - 12*t[36] - 4*t[38] - 4*t[39] + 4*t[40] - t[41]/2 + 
       t[42]/2 + (7*t[43])/4 + (17*t[44])/2 - 8*t[45] + 9*t[46] + 16*t[47] - 
       5*t[48] - (209*t[49])/16 + 10*t[50] + (15*t[51])/32 - 15*t[52] + 
       (177*t[53])/16 - (131*t[54])/8 - t[58] + (13*t[59])/2 - 
       (147*t[60])/8 - (357*t[61])/8 - (385*t[62])/16 - (1079*t[63])/16 + 
       (2299*t[64])/16 + (181*t[65])/8 - (403*t[66])/24 + (3*t[68])/2 - 
       4*t[69] + 2*t[72] + 8*t[73] + 10*t[74] - 2*t[75] + (55*t[76])/2 - 
       2*t[77] - 41*t[78] + 10*t[79] + 30*t[80] + (5*t[81])/2 + (7*t[82])/2 - 
       28*t[83] + (55*t[84])/8 + (89*t[85])/8 + 35*t[86] + (3*t[87])/8 + 
       (3*t[88])/16 - (63*t[89])/16 - (3*t[90])/2 - 2*t[93] + t[97] + 
       96*t[98] - 200*t[99] + 18*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*(2*t[1] - 4*t[2] - 
       (53*t[3])/4 + (131*t[4])/8 + (7*t[5])/4 - (9*t[6])/8 + (47*t[7])/4 - 
       54*t[8] + (3*t[9])/2 + (349*t[10])/16 + (429*t[11])/8 - 
       (259*t[12])/16 + (397*t[13])/24 + (3667*t[14])/96 - (1379*t[15])/144 - 
       11*t[27] + 6*t[28] - t[29] - t[30] - 2*t[34] - 4*t[35] + t[38] - 
       7*t[39] + (7*t[40])/2 + t[41] - t[42] + (17*t[43])/4 + (35*t[44])/2 - 
       (13*t[45])/2 - (9*t[46])/2 + 13*t[47] - (145*t[48])/8 + 
       (259*t[49])/16 + (63*t[50])/8 - (199*t[51])/32 - (79*t[52])/8 - 
       (195*t[53])/16 - 28*t[54] + t[59] + (339*t[60])/8 + (613*t[61])/8 - 
       (1173*t[62])/16 + (109*t[63])/16 - (71*t[64])/16 - (1213*t[65])/24 - 
       (825*t[66])/8 - 2*t[68] + 4*t[72] + 10*t[73] - 2*t[75] + 
       (25*t[76])/2 - 28*t[78] - 12*t[79] + 30*t[80] + (25*t[81])/2 - 
       (49*t[82])/2 - 22*t[83] + (31*t[84])/8 + (9*t[85])/8 + 6*t[86] - 
       (53*t[87])/8 - (53*t[88])/16 - (335*t[89])/16 + 4*t[96] + 4*t[97] + 
       96*t[98] - 200*t[99] + 18*t[100]) + HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - w]*((-20*t[1])/9 + (59*t[2])/72 - t[3]/9 - 
       (2905*t[4])/288 + (119*t[5])/36 - (235*t[6])/48 + (143*t[7])/36 - 
       (5*t[8])/9 + (55*t[9])/9 - (6823*t[10])/576 - (1765*t[11])/144 - 
       (1871*t[12])/576 - (5953*t[13])/2592 - (6869*t[14])/3456 - 
       (883*t[15])/1728 + 2*t[25] - t[26]/9 - (11*t[27])/9 - (5*t[28])/6 + 
       (7*t[30])/6 + (37*t[31])/18 - (4*t[34])/9 + (5*t[35])/3 + t[36]/3 + 
       (17*t[37])/9 - (17*t[38])/9 - t[39]/3 + (5*t[40])/18 + (2*t[41])/9 - 
       (2*t[42])/9 + (7*t[43])/12 + (17*t[44])/6 + (2*t[45])/9 - 
       (3*t[46])/2 - (4*t[47])/9 + (97*t[48])/48 + (6319*t[49])/576 - 
       (269*t[50])/144 - (3043*t[51])/1152 + (413*t[52])/144 - 
       (1487*t[53])/576 + (503*t[54])/96 - (4*t[58])/9 + (25*t[59])/36 - 
       (3533*t[60])/288 - (4135*t[61])/288 + (4715*t[62])/576 + 
       (10501*t[63])/576 + (1327*t[64])/192 - (373*t[65])/32 - 
       (10289*t[66])/864 - (5*t[69])/3 - (11*t[70])/9 + (11*t[71])/9 - 
       (16*t[72])/3 - (4*t[73])/3 + t[74]/2 + (4*t[75])/3 + (139*t[76])/18 - 
       (25*t[77])/18 - (80*t[78])/9 - (10*t[79])/3 + (5*t[80])/3 + 
       (55*t[81])/36 + (71*t[82])/36 - (7*t[83])/18 - (187*t[84])/32 + 
       (1393*t[85])/288 - (4*t[86])/3 - (2897*t[87])/288 - (1193*t[88])/64 + 
       (299*t[89])/192 + (4*t[95])/3 + (50*t[96])/9 + t[97]/6 + 
       (158*t[98])/3 - 50*t[99] + 18*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((89*t[1])/36 + 
       (391*t[2])/72 - (59*t[3])/36 - (1765*t[4])/144 - (1115*t[5])/144 + 
       (1165*t[6])/48 - (47*t[7])/9 + (167*t[8])/9 - (619*t[9])/144 - 
       (4225*t[10])/288 - (971*t[11])/144 + (2281*t[12])/288 + 
       (14897*t[13])/1296 - (28241*t[14])/1728 + (1015*t[15])/432 + 2*t[19] + 
       2*t[20] + 2*t[21] - 2*t[22] - 2*t[23] - (17*t[26])/9 - (16*t[27])/9 + 
       (5*t[28])/6 + t[29] - (2*t[30])/3 - (14*t[31])/9 - t[32] + t[33] + 
       (13*t[34])/9 - (5*t[35])/3 - (7*t[36])/3 - (79*t[37])/18 + 
       (25*t[38])/18 - (8*t[39])/3 - (23*t[40])/18 + (5*t[41])/18 - 
       (5*t[42])/18 + (2*t[43])/3 - (17*t[44])/6 - (49*t[45])/18 - t[46]/4 + 
       (31*t[47])/9 + (221*t[48])/48 - (5675*t[49])/288 + (935*t[50])/144 + 
       (6917*t[51])/576 - (215*t[52])/144 + (2791*t[53])/288 + 
       (295*t[54])/24 + (17*t[58])/18 - (13*t[59])/9 + (619*t[60])/144 - 
       (2419*t[61])/144 + (5225*t[62])/288 - (10097*t[63])/288 + 
       (5071*t[64])/96 + (419*t[65])/16 + (8839*t[66])/432 + (5*t[69])/3 + 
       (2*t[70])/9 - (2*t[71])/9 + (16*t[72])/3 + (17*t[73])/6 + 
       (3*t[74])/2 - (17*t[75])/6 - (319*t[76])/18 - t[77]/9 + 
       (385*t[78])/18 + (10*t[79])/3 + (19*t[80])/3 - (43*t[81])/9 - 
       (31*t[82])/18 - (10*t[83])/9 + (233*t[84])/16 - (827*t[85])/144 + 
       (34*t[86])/3 + (4801*t[87])/144 + (809*t[88])/32 + (995*t[89])/96 - 
       (7*t[95])/3 - (86*t[96])/9 - (14*t[97])/3 - (338*t[98])/3 + 
       104*t[99] + 18*t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*(-t[1]/8 + (107*t[2])/48 + (5*t[3])/6 - 
       (2609*t[4])/192 - (5*t[5])/3 + (497*t[6])/96 + (3*t[7])/4 + 
       (47*t[8])/12 + (17*t[9])/16 + (1075*t[10])/384 - (1003*t[11])/48 + 
       (1223*t[12])/384 - (8645*t[13])/576 - (1669*t[14])/256 + 
       (3115*t[15])/1152 - (5*t[25])/3 + (8*t[26])/3 + t[27]/3 + t[28]/4 + 
       t[29]/2 + t[30]/2 + (2*t[31])/3 + t[32]/2 - t[33]/2 - t[34]/6 - 
       t[35] + (5*t[36])/4 + (7*t[37])/12 - (3*t[38])/4 + t[39]/6 - 
       (4*t[40])/3 + t[41]/12 - t[42]/12 + t[43]/4 - t[44]/4 + (7*t[45])/12 - 
       (31*t[46])/12 - (2*t[47])/3 + (43*t[48])/32 + (1801*t[49])/384 + 
       (305*t[50])/96 + (1841*t[51])/768 - (17*t[52])/96 + (575*t[53])/384 + 
       (1613*t[54])/192 + t[58]/3 + (5*t[59])/4 - (5279*t[60])/192 - 
       (3611*t[61])/192 + (11039*t[62])/384 + (3139*t[63])/128 + 
       (101*t[64])/384 + (4565*t[65])/576 + (22231*t[66])/576 + t[69] - 
       (4*t[70])/3 + (4*t[71])/3 - (5*t[72])/6 + t[73]/2 - (3*t[74])/2 + 
       (5*t[75])/2 - (37*t[76])/12 - (11*t[77])/12 + (13*t[78])/6 + 
       (3*t[79])/2 - (10*t[80])/3 - (11*t[81])/4 + (35*t[82])/12 - 
       (13*t[83])/2 - (425*t[84])/64 - (779*t[85])/192 - (53*t[86])/6 + 
       (895*t[87])/192 - (203*t[88])/128 - (937*t[89])/384 + (3*t[95])/2 + 
       t[96]/3 - (5*t[97])/4 - 14*t[98] + 17*t[99] + 19*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((25*t[1])/12 + (67*t[2])/12 - (137*t[3])/12 + 
       (545*t[4])/48 - (319*t[5])/24 + (2393*t[6])/48 + (65*t[7])/24 + 
       (1553*t[8])/24 + (289*t[9])/24 + (2669*t[10])/96 - (293*t[11])/48 - 
       (393*t[12])/32 - (1259*t[13])/144 + (18739*t[14])/576 - 
       (2125*t[15])/288 + t[25]/3 + (4*t[26])/3 - (13*t[27])/3 - 3*t[28] + 
       t[29] - 3*t[30] + t[31]/3 + t[32] - t[33] - t[34]/3 + 6*t[35] - 
       4*t[36] - (47*t[37])/6 - t[38]/6 + (35*t[39])/6 - (31*t[40])/6 + 
       t[41]/6 - t[42]/6 - (3*t[43])/2 + 3*t[44] + (13*t[45])/6 - 
       (83*t[46])/24 - (10*t[47])/3 + (303*t[48])/16 - (13*t[49])/96 + 
       (127*t[50])/16 - (1687*t[51])/192 + (49*t[52])/16 - (1351*t[53])/96 - 
       (203*t[54])/12 + (8*t[58])/3 - (29*t[59])/12 + (1985*t[60])/48 + 
       (653*t[61])/16 - (1137*t[62])/32 - (1523*t[63])/32 + (1313*t[64])/32 + 
       (1637*t[65])/48 + (3625*t[66])/144 - (2*t[69])/3 + (7*t[70])/3 - 
       (7*t[71])/3 - (23*t[72])/3 + (23*t[73])/6 + t[74]/6 - (15*t[75])/2 - 
       (139*t[76])/6 + (13*t[77])/6 + (191*t[78])/6 + (13*t[79])/6 - 
       (80*t[80])/3 - (49*t[81])/12 - (67*t[82])/12 - t[83]/2 + 
       (593*t[84])/16 + (127*t[85])/16 + (83*t[86])/6 + (2323*t[87])/48 + 
       (1177*t[88])/32 + (3971*t[89])/96 - (37*t[95])/3 - (28*t[96])/3 - 
       5*t[97] - 148*t[98] + 152*t[99] + (39*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-5*t[1])/6 + (7*t[3])/12 - (101*t[4])/12 + (85*t[5])/24 + 
       (47*t[6])/16 - (61*t[7])/8 + (245*t[8])/24 - (57*t[9])/8 - 
       (9*t[10])/8 - (1219*t[11])/48 + (125*t[12])/24 - (1183*t[13])/72 - 
       (349*t[14])/36 + (427*t[15])/144 - (25*t[25])/6 + 5*t[26] + 
       (3*t[29])/2 + 2*t[36] - t[37]/2 + t[38]/6 - (13*t[44])/4 - 
       (29*t[46])/4 + (39*t[48])/16 - (7*t[49])/24 - (67*t[50])/48 + 
       (217*t[51])/24 + (67*t[52])/48 + (145*t[53])/24 + (253*t[54])/48 + 
       (25*t[59])/12 - (93*t[60])/8 - (35*t[61])/3 + (499*t[62])/16 + 
       (1379*t[63])/48 - (865*t[64])/24 + (191*t[65])/24 + (559*t[66])/8 + 
       t[67]/2 + 4*t[69] - (23*t[73])/2 - (17*t[74])/2 + (53*t[75])/2 - 
       (15*t[79])/2 + t[80] - (9*t[81])/4 + (9*t[82])/4 - (13*t[83])/3 - 
       (113*t[84])/24 - (47*t[85])/12 - (25*t[86])/6 + (15*t[87])/8 + 
       (15*t[88])/16 - (33*t[89])/16 + 4*t[99] + 20*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-3*t[3])/4 + (67*t[4])/6 - (377*t[5])/48 - (3*t[6])/4 + t[7]/3 - 
       (17*t[8])/12 + (467*t[9])/48 - (26*t[10])/3 - (37*t[11])/24 + 
       (13*t[12])/48 + (109*t[13])/18 - (1937*t[14])/288 - (221*t[15])/96 - 
       (7*t[36])/2 - (13*t[43])/8 - (13*t[45])/4 + t[46]/2 + (13*t[47])/2 - 
       t[48]/2 + (23*t[49])/6 - t[50] + (13*t[51])/32 + t[52] - 
       (23*t[53])/6 + (35*t[54])/8 + (43*t[60])/6 - (83*t[61])/4 + 
       (1043*t[62])/48 - (643*t[63])/48 - (29*t[64])/24 - (301*t[65])/72 + 
       (233*t[66])/72 - (23*t[73])/2 + (55*t[75])/2 - (7*t[79])/2 + t[81]/2 - 
       t[82]/2 - (29*t[83])/6 - (29*t[84])/8 - (15*t[85])/8 - (37*t[86])/6 - 
       (23*t[87])/3 - (23*t[88])/6 + (27*t[89])/4 + 4*t[99] + 20*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-21*t[1])/8 + (43*t[2])/24 + (191*t[3])/48 + (673*t[4])/32 - 
       (133*t[5])/48 + (331*t[6])/48 - (73*t[7])/48 - (91*t[8])/48 - 
       (61*t[9])/6 + (3973*t[10])/192 - (1145*t[11])/48 - (5951*t[12])/192 - 
       (2075*t[13])/72 + (20951*t[14])/1152 - (2173*t[15])/576 + t[19] - 
       t[20] - t[21] + t[22]/2 + t[23] + (5*t[25])/3 + (7*t[26])/12 + 
       t[27]/3 - (3*t[28])/2 - t[29]/2 + t[30]/2 - t[31]/3 - t[32]/2 + 
       t[33]/2 + (5*t[34])/6 + t[35] + (17*t[36])/12 - (41*t[37])/12 - 
       (5*t[38])/2 - (49*t[39])/12 + (35*t[40])/12 - (2*t[41])/3 + 
       (2*t[42])/3 + t[43]/4 + t[44]/2 - (11*t[45])/12 - (85*t[46])/12 + 
       (4*t[47])/3 - (39*t[48])/16 + (2255*t[49])/192 + (155*t[50])/16 - 
       (3271*t[51])/384 - (115*t[52])/16 - (4127*t[53])/192 - 
       (907*t[54])/96 + t[58]/3 + t[59] + (403*t[60])/96 + (659*t[61])/32 - 
       (4741*t[62])/192 + (12869*t[63])/192 - (12527*t[64])/192 - 
       (565*t[65])/288 + (18817*t[66])/288 + (7*t[70])/6 - (7*t[71])/6 + 
       t[72]/6 - 5*t[73] + (31*t[74])/12 - 20*t[75] - (193*t[76])/12 - 
       (47*t[77])/12 + (115*t[78])/6 + (7*t[79])/2 - (13*t[80])/3 - 
       (289*t[81])/24 + (155*t[82])/24 + (59*t[83])/2 + (1103*t[84])/96 + 
       (569*t[85])/96 + (80*t[86])/3 - (389*t[87])/96 + (425*t[88])/64 - 
       (821*t[89])/64 - (49*t[95])/6 - (43*t[96])/6 - (5*t[97])/2 - 
       74*t[98] + (139*t[99])/2 + (81*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-49*t[1])/12 + (41*t[2])/12 - (95*t[3])/24 + (1867*t[4])/96 - 
       (811*t[5])/96 + (569*t[6])/32 + (31*t[7])/6 + (77*t[8])/6 + 
       (443*t[9])/96 - (445*t[10])/192 + (715*t[11])/96 + (889*t[12])/192 + 
       (8317*t[13])/864 + (221*t[14])/384 + (7*t[15])/8 + t[19] + t[20] + 
       t[21] - t[22]/2 - t[23] + (4*t[25])/3 + 4*t[26] + t[27]/6 + 
       (3*t[28])/2 + t[29]/2 - t[30]/2 + t[31]/3 + t[32]/2 - t[33]/2 + 
       t[34]/12 - t[35] - (25*t[36])/12 - (23*t[37])/12 - (61*t[38])/12 + 
       t[39] - (55*t[40])/12 + (17*t[41])/24 - (17*t[42])/24 - t[43]/4 - 
       t[44]/2 + t[45]/12 + t[46]/2 + t[47]/3 + (173*t[48])/32 - 
       (2135*t[49])/192 + (407*t[50])/96 + (1757*t[51])/384 - (95*t[52])/96 + 
       (221*t[53])/64 + (7*t[54])/6 + (7*t[58])/12 + (71*t[59])/24 + 
       (1085*t[60])/32 + (1439*t[61])/96 - (2245*t[62])/192 - 
       (10435*t[63])/192 - (4073*t[64])/192 - (8059*t[65])/288 - 
       (7189*t[66])/288 + (3*t[69])/4 + t[70]/6 - t[71]/6 - t[72]/2 - 
       5*t[73] + (79*t[74])/12 - (65*t[75])/4 - (79*t[76])/6 + 
       (23*t[77])/12 + (53*t[78])/3 + (3*t[79])/2 - (21*t[80])/4 - 
       (35*t[81])/4 - (11*t[82])/4 + (141*t[83])/8 + (1475*t[84])/96 - 
       (49*t[85])/96 - (23*t[86])/6 - (835*t[87])/96 + (685*t[88])/192 + 
       (2069*t[89])/192 - (49*t[95])/6 - (11*t[96])/3 - (7*t[97])/4 - 
       74*t[98] + (139*t[99])/2 + (81*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((3*t[3])/2 + (101*t[4])/48 + (541*t[5])/96 + (7*t[6])/16 - 
       (91*t[7])/48 - (19*t[8])/48 - (445*t[9])/96 + (175*t[10])/96 - 
       (17*t[11])/12 + (11*t[12])/6 + (85*t[13])/16 - (139*t[14])/18 + 
       (815*t[15])/576 - t[25]/2 + t[26]/2 + t[27]/2 - t[29]/2 - t[36]/12 + 
       t[46]/4 - (3*t[48])/16 - (41*t[49])/96 + (5*t[50])/16 + 
       (55*t[51])/96 - (5*t[52])/16 - (55*t[53])/96 - (95*t[54])/48 + 
       (229*t[60])/48 - (821*t[61])/48 + (679*t[62])/48 - (599*t[63])/48 + 
       (461*t[64])/32 + (35*t[65])/8 + (1027*t[66])/72 - t[69]/6 - t[72]/4 - 
       (5*t[73])/12 + (13*t[75])/4 + (3*t[76])/4 + (17*t[79])/12 - t[80]/2 - 
       t[81]/4 + (7*t[82])/4 - (8*t[83])/3 + (13*t[84])/6 + (61*t[85])/24 - 
       (79*t[86])/12 + (43*t[87])/48 + (43*t[88])/96 + (285*t[89])/32 - 
       4*t[99] + (41*t[100])/2) + HPL[{0, 1}, 1 - u]*M1[w, v, u]*
      ((35*t[1])/12 - (4*t[2])/3 + (17*t[3])/12 + (38*t[4])/3 + (59*t[5])/8 - 
       (151*t[6])/24 - 2*t[7] - 2*t[8] - (37*t[9])/8 + (91*t[10])/24 + 
       (437*t[11])/24 - (13*t[12])/3 + (629*t[13])/72 - (431*t[14])/72 - 
       (109*t[15])/48 - (4*t[25])/3 - (11*t[26])/6 + t[27]/3 - t[30] - 
       (4*t[31])/3 - t[34]/6 - t[36] + (4*t[37])/3 + (19*t[38])/6 - t[39]/3 + 
       t[40]/6 + t[41]/12 - t[42]/12 - t[43]/2 - t[44] - (2*t[45])/3 + 
       (5*t[46])/3 + (4*t[47])/3 - (13*t[48])/8 - (27*t[49])/8 - t[50]/8 - 
       t[51]/6 - (11*t[52])/8 + (7*t[53])/8 - (91*t[54])/8 - t[58]/6 - 
       (4*t[59])/3 + (241*t[60])/12 - (83*t[61])/6 - (139*t[62])/12 - 
       (385*t[63])/12 - (23*t[64])/6 - (217*t[65])/36 - (227*t[66])/36 + 
       (2*t[70])/3 - (2*t[71])/3 + (5*t[72])/3 + t[74] + (5*t[76])/3 + 
       (4*t[77])/3 - (10*t[78])/3 + (8*t[80])/3 + t[81]/2 + (5*t[82])/3 - 
       (4*t[83])/3 + (65*t[84])/12 + (19*t[85])/6 + 2*t[86] - (8*t[87])/3 + 
       (3*t[88])/2 + (125*t[89])/24 - 2*t[95] + t[96]/3 + t[97] + 4*t[98] - 
       12*t[99] + 21*t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - u]*
      ((23*t[1])/16 + (81*t[2])/16 + (181*t[3])/16 + (151*t[4])/16 - 
       (269*t[5])/32 - (75*t[6])/16 - (39*t[7])/16 - (473*t[8])/16 + 
       (345*t[9])/32 - (591*t[10])/32 - 13*t[11] - (431*t[12])/16 + 
       (61*t[13])/32 - (1339*t[14])/192 - (2105*t[15])/192 + t[25] - 
       (51*t[26])/8 + (27*t[34])/8 - (15*t[37])/4 + (7*t[38])/2 - 
       (3*t[39])/2 + (3*t[40])/4 - (27*t[41])/16 + (27*t[42])/16 + 
       (39*t[46])/8 - (123*t[48])/16 - (343*t[49])/32 + (173*t[50])/16 - 
       (307*t[51])/64 - (155*t[52])/16 - (101*t[53])/32 - (19*t[54])/8 - 
       (3*t[58])/8 - (137*t[59])/16 + (273*t[60])/16 - (749*t[61])/16 + 
       (1077*t[62])/32 + (1303*t[63])/32 - (1135*t[64])/32 + (205*t[65])/16 + 
       (117*t[66])/16 - 6*t[69] + 3*t[70] - 3*t[71] - 3*t[73] + 3*t[74] - 
       3*t[75] - (75*t[76])/8 - 3*t[77] + (27*t[78])/2 + 3*t[79] - 
       (15*t[80])/4 + (39*t[81])/8 + (15*t[82])/8 + (13*t[83])/2 + 
       (293*t[84])/16 + (361*t[85])/16 + t[86] - (195*t[87])/16 - 
       (183*t[88])/32 - (123*t[89])/32 - 9*t[96] - (45*t[97])/8 - 54*t[98] + 
       54*t[99] + 21*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((-55*t[1])/24 + (181*t[2])/48 + 6*t[3] - 
       (547*t[4])/64 + (769*t[5])/96 + (1567*t[6])/96 - (575*t[7])/48 + 
       (439*t[8])/48 - (497*t[9])/96 + (865*t[10])/128 - (155*t[11])/8 - 
       (2087*t[12])/128 + (363*t[13])/64 - (2701*t[14])/256 - 
       (16945*t[15])/3456 - (3*t[25])/2 + 3*t[26] + (2*t[27])/3 - 
       (19*t[28])/12 - (31*t[30])/12 - (5*t[31])/4 + (5*t[34])/3 + 
       (7*t[35])/6 - (5*t[36])/4 - (15*t[37])/4 - 2*t[38] + (5*t[39])/6 + 
       t[40]/3 - (5*t[41])/6 + (5*t[42])/6 - (31*t[43])/24 + (41*t[44])/12 + 
       (49*t[45])/12 + (11*t[46])/12 - (49*t[47])/6 + (335*t[48])/96 - 
       (6367*t[49])/384 + (455*t[50])/96 - (5591*t[51])/768 - (29*t[52])/32 + 
       (1663*t[53])/384 - (1333*t[54])/64 + (2*t[58])/3 - (3*t[59])/4 + 
       (3193*t[60])/192 + (313*t[61])/192 + (28327*t[62])/384 - 
       (4303*t[63])/384 - (3403*t[64])/384 + (6257*t[65])/64 + 
       (52411*t[66])/576 - (7*t[69])/6 + t[70]/2 - t[71]/2 - (9*t[72])/2 + 
       (59*t[73])/12 - (5*t[74])/12 - (115*t[75])/12 - (79*t[76])/12 - 
       (31*t[77])/12 + (43*t[78])/3 + (119*t[79])/12 - (62*t[80])/3 + 
       (97*t[81])/24 + (59*t[82])/24 - (145*t[83])/12 + (7361*t[84])/192 + 
       (2479*t[85])/64 - (359*t[86])/12 + (10471*t[87])/192 + 
       (11591*t[88])/384 + (7765*t[89])/128 - (19*t[95])/6 - (17*t[96])/2 - 
       (53*t[97])/12 - 49*t[98] + 54*t[99] + 21*t[100]) + 
     HPL[{1}, 1 - v]^2*Qep[w, u, v]*((-16*t[1])/9 + (16*t[3])/9 - 
       (560*t[4])/9 + (44*t[5])/9 - (2*t[6])/3 - (32*t[8])/9 - (20*t[9])/3 - 
       4*t[10] - (166*t[11])/9 + (64*t[12])/9 - (116*t[13])/27 - 
       (976*t[14])/27 + (370*t[15])/27 - (32*t[25])/9 + (16*t[26])/3 - 
       (16*t[38])/9 - (32*t[46])/3 - (2*t[48])/3 + (16*t[49])/9 + 
       (26*t[50])/9 + (212*t[51])/9 - (26*t[52])/9 + (200*t[53])/9 + 
       (58*t[54])/9 - (16*t[59])/3 - 52*t[60] - (128*t[61])/9 + 30*t[62] + 
       (2*t[63])/9 + (784*t[64])/9 + 52*t[65] + (748*t[66])/9 - 
       (64*t[69])/3 + (32*t[70])/3 - (32*t[71])/3 + (16*t[73])/3 + 16*t[75] - 
       (8*t[81])/3 + (8*t[82])/3 - (256*t[83])/9 - (100*t[84])/9 - 
       (104*t[85])/9 + (64*t[86])/9 + (52*t[87])/3 + (26*t[88])/3 + 
       (2*t[89])/3 + (64*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((193*t[1])/36 + (287*t[2])/24 - 
       (277*t[3])/12 - (379*t[4])/48 - (447*t[5])/16 + (1087*t[6])/48 + 
       (325*t[7])/6 + (443*t[8])/8 + (2969*t[9])/48 - (4975*t[10])/96 + 
       (715*t[11])/16 + (443*t[12])/96 + (3413*t[13])/144 + 
       (16949*t[14])/576 - (511*t[15])/72 + (7*t[18])/3 + t[19]/3 + 
       (3*t[20])/2 + (3*t[21])/2 - (5*t[22])/6 - (3*t[23])/2 + 2*t[24] + 
       (3*t[25])/2 + t[26]/2 - (2*t[27])/3 - t[29] + (8*t[32])/3 - 
       (19*t[33])/6 + (14*t[34])/3 + (7*t[35])/2 + (13*t[36])/6 + 
       (4*t[37])/3 - t[38]/3 + (13*t[39])/6 - (26*t[40])/3 + (2*t[41])/3 - 
       (3*t[42])/4 + (13*t[43])/3 - (7*t[44])/6 - (55*t[45])/3 + 
       (4*t[46])/3 + (221*t[47])/6 + (187*t[48])/16 - (119*t[49])/32 + 
       (127*t[50])/16 + (343*t[51])/192 + (131*t[52])/48 + (111*t[53])/32 + 
       t[54]/3 + (5*t[58])/2 - (32*t[59])/9 + (1171*t[60])/48 + 
       (2171*t[61])/48 - (3905*t[62])/96 - (9583*t[63])/96 + 
       (1305*t[64])/32 + (6781*t[65])/144 - (3863*t[66])/48 + 2*t[68] - 
       (9*t[69])/2 - (11*t[70])/6 + (11*t[71])/6 - (3*t[72])/2 - 5*t[73] + 
       (14*t[74])/3 - (11*t[75])/2 - (19*t[76])/2 - (29*t[77])/12 + 
       (85*t[78])/6 - (7*t[79])/2 + (343*t[80])/6 - (5*t[81])/3 - 
       (10*t[82])/3 + (61*t[83])/2 + (587*t[84])/48 + (107*t[85])/48 + 
       (167*t[86])/3 + (303*t[87])/16 + (1045*t[88])/96 + (1059*t[89])/32 - 
       (8*t[95])/3 - (3*t[97])/2 - 80*t[98] + 95*t[99] + (43*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      ((47*t[1])/36 + (103*t[3])/144 + (71*t[4])/18 - (455*t[5])/288 - 
       (253*t[6])/96 - (49*t[7])/32 - (2005*t[8])/288 - (169*t[9])/96 + 
       (295*t[10])/32 - (1661*t[11])/288 - (1957*t[12])/288 - 
       (2581*t[13])/864 - (2911*t[14])/1728 - (1619*t[15])/1728 - 
       (5*t[25])/9 - t[26]/2 + t[27]/4 - t[36]/2 + (41*t[37])/24 + 
       (19*t[38])/18 - (193*t[46])/48 - (229*t[48])/96 + (545*t[49])/72 + 
       (589*t[50])/288 + (1241*t[51])/576 - (589*t[52])/288 - (43*t[53])/9 - 
       (949*t[54])/288 + t[59]/48 - (181*t[60])/48 - (1853*t[61])/144 - 
       (113*t[62])/96 + (1519*t[63])/288 + (1691*t[64])/288 - 
       (17*t[65])/144 + (1147*t[66])/144 + t[69]/3 - (5*t[70])/12 + 
       (5*t[71])/12 - t[72]/2 - (41*t[74])/24 + (11*t[75])/3 + (3*t[76])/4 - 
       (65*t[79])/24 - t[80]/2 + (3*t[81])/4 - (5*t[82])/4 + (115*t[83])/72 - 
       (211*t[84])/144 + (229*t[85])/144 + (341*t[86])/72 - (19*t[87])/16 - 
       (19*t[88])/32 - (65*t[89])/32 - 4*t[99] + (271*t[100])/12) + 
     HPL[{0, 1, 1}, 1 - v]*Omega2[w, u, v]*(2*t[1] + (25*t[3])/4 + 2*t[4] + 
       (139*t[5])/8 + (3*t[6])/8 + (3*t[7])/4 + (17*t[8])/4 - (137*t[9])/8 - 
       26*t[10] + (141*t[11])/8 + (43*t[12])/8 + (347*t[13])/24 - 
       (589*t[14])/24 + (43*t[15])/48 + t[25] - 2*t[26] - t[27] - 2*t[36] + 
       t[38] + 5*t[46] + (35*t[48])/8 - (39*t[49])/4 + (7*t[50])/8 + 
       (29*t[51])/8 - (7*t[52])/8 + (25*t[53])/4 - (67*t[54])/8 - t[59] + 
       (7*t[60])/4 - (123*t[61])/4 + (65*t[62])/8 - (277*t[63])/8 + 
       (637*t[64])/8 + (77*t[65])/12 + (97*t[66])/4 - 2*t[69] + 2*t[72] + 
       2*t[75] - 3*t[76] + 4*t[79] - 2*t[80] - t[81] + 3*t[82] - 7*t[83] + 
       (29*t[84])/4 + (9*t[85])/4 + (35*t[87])/4 + (35*t[88])/8 + 
       (113*t[89])/8 - 16*t[99] + 23*t[100]) + HPL[{0, 1, 1}, 1 - u]*
      Omega2[v, w, u]*(-t[3] + (5*t[4])/2 - (19*t[5])/2 - (19*t[6])/4 + 
       (7*t[7])/2 - (25*t[8])/2 + (9*t[9])/2 + (115*t[10])/4 + (11*t[11])/4 - 
       (49*t[12])/4 - (43*t[13])/6 - (3*t[14])/2 - (49*t[15])/12 - 2*t[25] + 
       2*t[26] - 2*t[27] + 2*t[29] - 2*t[36] + t[46] - (25*t[48])/4 + 
       (23*t[49])/4 + (23*t[50])/4 - (15*t[51])/2 - (23*t[52])/4 - 
       (29*t[53])/4 - (71*t[54])/4 - 7*t[60] + (7*t[61])/2 - 45*t[62] - 
       4*t[63] + 56*t[64] + (13*t[65])/2 + (33*t[66])/2 + t[69] + t[72] + 
       2*t[75] - 3*t[76] - 4*t[79] - 2*t[80] + 3*t[81] - 9*t[82] + 
       (25*t[83])/2 + 5*t[84] + (17*t[85])/2 + 34*t[86] + 5*t[87] + 
       (5*t[88])/2 + 16*t[89] - 16*t[99] + 23*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*((-295*t[1])/24 + 
       (7*t[2])/8 + (181*t[3])/24 + (2567*t[4])/48 - (71*t[5])/12 - 
       (37*t[6])/8 - 8*t[7] - (223*t[8])/12 + (45*t[9])/8 - (1117*t[10])/32 + 
       (541*t[11])/12 + (2161*t[12])/96 + (412*t[13])/9 - (8837*t[14])/576 - 
       (4103*t[15])/288 - (3*t[16])/2 + 2*t[19] + (37*t[25])/6 + 4*t[26] + 
       (7*t[34])/4 - (3*t[36])/2 - (11*t[37])/2 - (32*t[38])/3 - 
       (13*t[39])/4 + (3*t[40])/2 - (7*t[41])/8 + (7*t[42])/8 - t[45] + 
       19*t[46] + 2*t[47] - (33*t[48])/4 - (4025*t[49])/96 + (25*t[50])/12 - 
       (2975*t[51])/192 - (23*t[52])/6 + (1349*t[53])/96 - (1939*t[54])/48 + 
       (29*t[59])/24 + (1445*t[60])/16 - (1357*t[61])/48 + (489*t[62])/32 - 
       (8839*t[63])/96 - (3731*t[64])/96 + (563*t[65])/48 - (1091*t[66])/48 + 
       t[67]/2 + t[70] - t[71] + (19*t[73])/2 + t[74] - (69*t[75])/2 - 
       (15*t[76])/2 - (3*t[77])/2 + (9*t[78])/4 - t[79]/2 - (3*t[80])/2 + 
       2*t[81] - 2*t[82] + (58*t[83])/3 + (2185*t[84])/48 + (2519*t[85])/48 - 
       (23*t[86])/6 - (69*t[87])/16 + (427*t[88])/32 + (1729*t[89])/32 - 
       11*t[95] - 9*t[96] - (7*t[97])/4 - 42*t[98] + 30*t[99] + 23*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((15*t[1])/4 - (3*t[2])/4 - (57*t[3])/8 + (2551*t[4])/48 + 
       (29*t[5])/48 + (153*t[6])/16 - t[7]/12 + (65*t[8])/3 - (479*t[9])/48 + 
       (2071*t[10])/96 + (1391*t[11])/48 - (2483*t[12])/96 + 
       (2461*t[13])/72 + (7813*t[14])/576 - (65*t[15])/8 - 2*t[16] - 
       3*t[19] + (7*t[25])/2 - (17*t[26])/4 - (3*t[34])/2 + 6*t[36] + 
       2*t[37] + (9*t[38])/4 - (7*t[39])/4 - (3*t[40])/2 + (3*t[41])/4 - 
       (3*t[42])/4 - t[45] + 2*t[46] + 2*t[47] + (73*t[48])/16 - 
       (287*t[49])/96 - (31*t[50])/16 - (739*t[51])/64 + (55*t[52])/16 - 
       (781*t[53])/96 - (343*t[54])/8 + t[58]/4 + t[59]/4 + (3211*t[60])/48 + 
       (541*t[61])/16 - (1141*t[62])/96 - (10927*t[63])/96 - 
       (7159*t[64])/96 + (3545*t[65])/144 - (2761*t[66])/144 - 2*t[69] + 
       (19*t[73])/2 - (3*t[74])/2 - (69*t[75])/2 - (13*t[76])/2 + 
       (3*t[77])/2 - (11*t[78])/2 + (9*t[79])/2 - 4*t[80] - 6*t[81] - 
       (9*t[82])/4 + (137*t[83])/6 + (583*t[84])/16 + (467*t[85])/16 - 
       (29*t[86])/6 + (911*t[87])/48 + (2399*t[88])/96 + (1865*t[89])/32 - 
       11*t[95] - t[96]/2 + (3*t[97])/2 - 42*t[98] + 30*t[99] + 23*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-29*t[1])/24 - (10*t[2])/3 + (57*t[3])/8 + (257*t[4])/24 + 
       (371*t[5])/24 - (493*t[6])/24 - (89*t[7])/24 - (343*t[8])/12 - 
       (419*t[9])/48 - (27*t[10])/8 + (773*t[11])/48 + (8*t[12])/3 + 
       (1489*t[13])/144 - (2027*t[14])/192 - (655*t[15])/432 - t[19] + 
       t[20] + t[21] - t[23] + (3*t[25])/2 - (9*t[26])/4 + (5*t[27])/6 + 
       (5*t[28])/6 - (11*t[30])/12 - (5*t[31])/4 + t[34]/12 - (5*t[35])/3 - 
       t[36]/12 + 4*t[37] + t[38]/4 - (5*t[39])/6 + (5*t[40])/3 - t[41]/24 + 
       t[42]/24 + t[43]/24 - (5*t[44])/3 - (5*t[45])/6 + (11*t[46])/6 + 
       (5*t[47])/3 - (209*t[48])/24 - (55*t[49])/12 - (47*t[50])/24 + 
       (463*t[51])/192 - (33*t[52])/8 + (115*t[53])/48 - (455*t[54])/48 - 
       (5*t[58])/12 + t[59]/8 + (247*t[60])/24 - (247*t[61])/16 - 
       (1465*t[62])/96 - (1235*t[63])/96 + (199*t[64])/48 - (1615*t[65])/72 - 
       (287*t[66])/18 + t[70] - t[71] + (5*t[72])/2 - (17*t[73])/6 + 
       (11*t[74])/12 + (17*t[75])/6 + (61*t[76])/12 + (11*t[77])/6 - 
       (40*t[78])/3 + (67*t[80])/6 - (25*t[81])/24 + (73*t[82])/24 + 
       (11*t[83])/6 - 6*t[84] - (91*t[85])/48 - (5*t[86])/6 - 
       (257*t[87])/12 - (51*t[88])/8 - (149*t[89])/16 + (2*t[95])/3 + 
       (3*t[96])/2 + (35*t[97])/12 + 31*t[98] - 47*t[99] + (47*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (t[1]/2 + (23*t[4])/8 + t[5]/2 - (3*t[6])/8 - (7*t[7])/4 - (7*t[8])/4 - 
       t[9]/2 - (89*t[10])/8 + (7*t[11])/4 + (97*t[12])/8 + (139*t[13])/12 - 
       (251*t[14])/16 + (7*t[15])/4 - t[26]/2 - 2*t[36] + t[38]/2 + 
       (3*t[46])/2 - (3*t[48])/8 - (35*t[49])/8 - (3*t[50])/8 + 
       (33*t[51])/16 + (3*t[52])/8 + (35*t[53])/8 - (13*t[54])/4 - t[59]/4 + 
       (61*t[60])/4 - (65*t[61])/2 + 29*t[62] - (151*t[63])/4 + 
       (81*t[64])/8 + (397*t[65])/24 + (145*t[66])/8 + 3*t[73] - t[74] + 
       15*t[75] - 3*t[79] + t[81]/2 - t[82]/2 - 20*t[83] + (29*t[84])/8 + 
       (35*t[85])/8 - 7*t[86] + (75*t[87])/8 + (71*t[88])/16 + 
       (155*t[89])/8 + 2*t[95] + 24*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((-41*t[1])/6 - (47*t[2])/6 + (2*t[3])/3 + 
       (691*t[4])/24 - (3*t[5])/8 + (563*t[6])/24 - 7*t[7] + 12*t[8] - 
       (81*t[9])/8 - (739*t[10])/48 + (41*t[11])/24 + (227*t[12])/48 + 
       (1115*t[13])/72 - (9953*t[14])/288 + (7*t[15])/9 + 8*t[23] + 
       (14*t[25])/3 + (5*t[26])/3 - (8*t[27])/3 - 2*t[28] - 2*t[30] + 
       (2*t[31])/3 + (4*t[34])/3 + 4*t[35] - 5*t[36] - (23*t[37])/3 - 
       (19*t[38])/3 + (2*t[39])/3 + (23*t[40])/3 - (14*t[41])/3 + 
       (14*t[42])/3 - t[43] + 2*t[44] + t[45]/3 - (4*t[46])/3 - (2*t[47])/3 + 
       (25*t[48])/8 - (183*t[49])/16 + t[50]/8 - (247*t[51])/96 - 
       (129*t[52])/8 - (121*t[53])/16 - (45*t[54])/2 + (4*t[58])/3 + 
       (5*t[59])/3 + (41*t[60])/24 - (77*t[61])/24 + (1457*t[62])/48 - 
       (2617*t[63])/48 - (1405*t[64])/48 + (5341*t[65])/72 + 
       (3059*t[66])/72 + (14*t[70])/3 - (14*t[71])/3 - (16*t[72])/3 + 
       4*t[73] + 3*t[74] - 4*t[75] - (49*t[76])/3 - (17*t[77])/3 + 
       (71*t[78])/3 - (34*t[80])/3 - (9*t[81])/2 - (17*t[82])/6 - 
       (16*t[83])/3 + (781*t[84])/24 + (331*t[85])/24 + 2*t[86] + 
       (965*t[87])/24 + (695*t[88])/16 + (1675*t[89])/48 - 10*t[95] - 
       (38*t[96])/3 - 2*t[97] - 104*t[98] + 108*t[99] + 24*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((19*t[1])/6 + t[2]/6 + (10*t[3])/3 + (835*t[4])/24 - (235*t[5])/24 + 
       (119*t[6])/8 - (5*t[7])/3 - (52*t[8])/3 + (31*t[9])/24 - 
       (317*t[10])/48 + (617*t[11])/24 + (41*t[12])/48 + (5875*t[13])/216 - 
       (5749*t[14])/288 - (31*t[15])/6 + 2*t[25] - (17*t[26])/3 + 
       (8*t[27])/3 + 2*t[28] + 2*t[30] - (2*t[31])/3 + (4*t[34])/3 - 
       4*t[35] - 7*t[36] + t[37]/3 + (11*t[38])/3 - 2*t[39] - t[40]/3 - 
       (2*t[41])/3 + (2*t[42])/3 + t[43] - 2*t[44] + t[45]/3 - (2*t[47])/3 - 
       (25*t[48])/8 - (1135*t[49])/48 + (109*t[50])/24 + (841*t[51])/96 - 
       (109*t[52])/24 + (191*t[53])/48 - (97*t[54])/4 + (4*t[58])/3 - 
       (10*t[59])/3 + (1967*t[60])/24 - (569*t[61])/24 + (781*t[62])/48 - 
       (5005*t[63])/48 - (443*t[64])/16 + (467*t[65])/24 + (683*t[66])/72 + 
       (14*t[70])/3 - (14*t[71])/3 + 4*t[73] + 5*t[74] - 4*t[75] - 
       (47*t[76])/3 + (5*t[77])/3 + (65*t[78])/3 + 8*t[79] - 14*t[80] - 
       (17*t[81])/6 - (31*t[82])/6 - (16*t[83])/3 + (239*t[84])/8 + 
       (407*t[85])/24 - 6*t[86] + (281*t[87])/24 + (467*t[88])/16 + 
       (571*t[89])/16 - 10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 
       108*t[99] + 24*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 
       1 - w]*((19*t[1])/6 + t[2]/6 + (10*t[3])/3 + (835*t[4])/24 - 
       (235*t[5])/24 + (119*t[6])/8 - (5*t[7])/3 - (52*t[8])/3 + 
       (31*t[9])/24 - (317*t[10])/48 + (617*t[11])/24 + (41*t[12])/48 + 
       (5875*t[13])/216 - (5749*t[14])/288 - (31*t[15])/6 + 2*t[25] - 
       (17*t[26])/3 + (8*t[27])/3 + 2*t[28] + 2*t[30] - (2*t[31])/3 + 
       (4*t[34])/3 - 4*t[35] - 7*t[36] + t[37]/3 + (11*t[38])/3 - 2*t[39] - 
       t[40]/3 - (2*t[41])/3 + (2*t[42])/3 + t[43] - 2*t[44] + t[45]/3 - 
       (2*t[47])/3 - (25*t[48])/8 - (1135*t[49])/48 + (109*t[50])/24 + 
       (841*t[51])/96 - (109*t[52])/24 + (191*t[53])/48 - (97*t[54])/4 + 
       (4*t[58])/3 - (10*t[59])/3 + (1967*t[60])/24 - (569*t[61])/24 + 
       (781*t[62])/48 - (5005*t[63])/48 - (443*t[64])/16 + (467*t[65])/24 + 
       (683*t[66])/72 + (14*t[70])/3 - (14*t[71])/3 + 4*t[73] + 5*t[74] - 
       4*t[75] - (47*t[76])/3 + (5*t[77])/3 + (65*t[78])/3 + 8*t[79] - 
       14*t[80] - (17*t[81])/6 - (31*t[82])/6 - (16*t[83])/3 + 
       (239*t[84])/8 + (407*t[85])/24 - 6*t[86] + (281*t[87])/24 + 
       (467*t[88])/16 + (571*t[89])/16 - 10*t[95] - (38*t[96])/3 - 2*t[97] - 
       104*t[98] + 108*t[99] + 24*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((-41*t[1])/6 + t[2]/6 + 
       (2*t[3])/3 + (691*t[4])/24 - (3*t[5])/8 + (419*t[6])/24 - 11*t[7] + 
       16*t[8] - (65*t[9])/8 - (163*t[10])/48 + (41*t[11])/24 + 
       (227*t[12])/48 + (1019*t[13])/72 + (223*t[14])/288 - (17*t[15])/9 + 
       (14*t[25])/3 + (5*t[26])/3 - (8*t[27])/3 - 2*t[28] - 2*t[30] + 
       (2*t[31])/3 + (4*t[34])/3 + 4*t[35] - 5*t[36] - (23*t[37])/3 - 
       (19*t[38])/3 + (2*t[39])/3 - t[40]/3 - (2*t[41])/3 + (2*t[42])/3 - 
       t[43] + 2*t[44] + t[45]/3 - (4*t[46])/3 - (2*t[47])/3 + (25*t[48])/8 - 
       (183*t[49])/16 + t[50]/8 - (247*t[51])/96 - t[52]/8 - (121*t[53])/16 - 
       (45*t[54])/2 + (4*t[58])/3 + (5*t[59])/3 + (1385*t[60])/24 + 
       (307*t[61])/24 + (305*t[62])/48 - (3001*t[63])/48 - (2557*t[64])/48 + 
       (4189*t[65])/72 + (3635*t[66])/72 + (14*t[70])/3 - (14*t[71])/3 - 
       (16*t[72])/3 + 4*t[73] + 3*t[74] - 4*t[75] - (49*t[76])/3 + 
       (7*t[77])/3 + (71*t[78])/3 - (34*t[80])/3 - (9*t[81])/2 - 
       (17*t[82])/6 - (16*t[83])/3 + (781*t[84])/24 + (331*t[85])/24 + 
       2*t[86] + (581*t[87])/24 + (567*t[88])/16 + (2059*t[89])/48 - 
       10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 108*t[99] + 
       24*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-41*t[1])/6 + t[2]/6 + (2*t[3])/3 + (691*t[4])/24 - (3*t[5])/8 + 
       (419*t[6])/24 - 11*t[7] + 16*t[8] - (65*t[9])/8 - (163*t[10])/48 + 
       (41*t[11])/24 + (227*t[12])/48 + (1019*t[13])/72 + (223*t[14])/288 - 
       (17*t[15])/9 + (14*t[25])/3 + (5*t[26])/3 - (8*t[27])/3 - 2*t[28] - 
       2*t[30] + (2*t[31])/3 + (4*t[34])/3 + 4*t[35] - 5*t[36] - 
       (23*t[37])/3 - (19*t[38])/3 + (2*t[39])/3 - t[40]/3 - (2*t[41])/3 + 
       (2*t[42])/3 - t[43] + 2*t[44] + t[45]/3 - (4*t[46])/3 - (2*t[47])/3 + 
       (25*t[48])/8 - (183*t[49])/16 + t[50]/8 - (247*t[51])/96 - t[52]/8 - 
       (121*t[53])/16 - (45*t[54])/2 + (4*t[58])/3 + (5*t[59])/3 + 
       (1385*t[60])/24 + (307*t[61])/24 + (305*t[62])/48 - (3001*t[63])/48 - 
       (2557*t[64])/48 + (4189*t[65])/72 + (3635*t[66])/72 + (14*t[70])/3 - 
       (14*t[71])/3 - (16*t[72])/3 + 4*t[73] + 3*t[74] - 4*t[75] - 
       (49*t[76])/3 + (7*t[77])/3 + (71*t[78])/3 - (34*t[80])/3 - 
       (9*t[81])/2 - (17*t[82])/6 - (16*t[83])/3 + (781*t[84])/24 + 
       (331*t[85])/24 + 2*t[86] + (581*t[87])/24 + (567*t[88])/16 + 
       (2059*t[89])/48 - 10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 
       108*t[99] + 24*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
       1 - u]*((-65*t[1])/6 - (47*t[2])/6 + (26*t[3])/3 + (691*t[4])/24 + 
       (61*t[5])/8 + (1379*t[6])/24 - 27*t[7] - (193*t[9])/8 - 
       (163*t[10])/48 - (727*t[11])/24 + (227*t[12])/48 - (901*t[13])/72 - 
       (929*t[14])/288 - (41*t[15])/9 + 8*t[23] + (14*t[25])/3 + 
       (5*t[26])/3 - (8*t[27])/3 - 2*t[28] - 2*t[30] + (2*t[31])/3 + 
       (4*t[34])/3 + 4*t[35] - 5*t[36] - (23*t[37])/3 - (19*t[38])/3 + 
       (2*t[39])/3 - t[40]/3 - (14*t[41])/3 + (14*t[42])/3 - t[43] + 
       2*t[44] + t[45]/3 - (4*t[46])/3 - (2*t[47])/3 - (39*t[48])/8 - 
       (183*t[49])/16 - (63*t[50])/8 - (247*t[51])/96 + (63*t[52])/8 - 
       (121*t[53])/16 - (61*t[54])/2 + (4*t[58])/3 - (43*t[59])/3 + 
       (1385*t[60])/24 + (499*t[61])/24 + (305*t[62])/48 - (3001*t[63])/48 - 
       (4093*t[64])/48 + (3421*t[65])/72 + (9779*t[66])/72 + (14*t[70])/3 - 
       (14*t[71])/3 - (16*t[72])/3 + 4*t[73] + 3*t[74] - 4*t[75] - 
       (49*t[76])/3 + (7*t[77])/3 + (71*t[78])/3 - (34*t[80])/3 - 
       (9*t[81])/2 - (17*t[82])/6 - (16*t[83])/3 + (781*t[84])/24 + 
       (331*t[85])/24 + 2*t[86] + (581*t[87])/24 + (567*t[88])/16 + 
       (2059*t[89])/48 - 10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 
       108*t[99] + 24*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 
       1 - v]*((19*t[1])/6 + (49*t[2])/6 + (10*t[3])/3 + (835*t[4])/24 - 
       (235*t[5])/24 + (119*t[6])/8 - (77*t[7])/3 + (20*t[8])/3 + 
       (31*t[9])/24 + (451*t[10])/48 + (809*t[11])/24 + (425*t[12])/48 + 
       (7891*t[13])/216 + (6539*t[14])/288 - (71*t[15])/6 - 8*t[23] + 
       2*t[25] - (17*t[26])/3 + (8*t[27])/3 + 2*t[28] + 2*t[30] - 
       (2*t[31])/3 + (4*t[34])/3 - 4*t[35] - 7*t[36] + t[37]/3 + 
       (11*t[38])/3 - 2*t[39] - (25*t[40])/3 + (10*t[41])/3 - (10*t[42])/3 + 
       t[43] - 2*t[44] + t[45]/3 - (2*t[47])/3 - (25*t[48])/8 - 
       (1519*t[49])/48 + (109*t[50])/24 + (1225*t[51])/96 + (275*t[52])/24 + 
       (575*t[53])/48 - (97*t[54])/4 + (4*t[58])/3 - (10*t[59])/3 + 
       (3887*t[60])/24 - (185*t[61])/24 - (755*t[62])/48 - (6541*t[63])/48 - 
       (827*t[64])/16 - (173*t[65])/24 + (491*t[66])/72 + (14*t[70])/3 - 
       (14*t[71])/3 + 4*t[73] + 5*t[74] - 4*t[75] - (47*t[76])/3 + 
       (29*t[77])/3 + (65*t[78])/3 + 8*t[79] - 14*t[80] - (17*t[81])/6 - 
       (31*t[82])/6 - (16*t[83])/3 + (303*t[84])/8 + (407*t[85])/24 - 
       6*t[86] - (103*t[87])/24 + (339*t[88])/16 + (699*t[89])/16 - 
       10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 108*t[99] + 
       24*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((31*t[1])/6 + (49*t[2])/6 - (14*t[3])/3 + (835*t[4])/24 - 
       (427*t[5])/24 - (153*t[6])/8 + (43*t[7])/3 - (4*t[8])/3 + 
       (415*t[9])/24 - (125*t[10])/48 + (1097*t[11])/24 - (343*t[12])/48 + 
       (10339*t[13])/216 - (2293*t[14])/288 - (5*t[15])/2 - 8*t[23] + 
       2*t[25] - (17*t[26])/3 + (8*t[27])/3 + 2*t[28] + 2*t[30] - 
       (2*t[31])/3 + (4*t[34])/3 - 4*t[35] - 7*t[36] + t[37]/3 + 
       (5*t[38])/3 - 2*t[39] - t[40]/3 + (10*t[41])/3 - (10*t[42])/3 + 
       t[43] - 2*t[44] + t[45]/3 - (2*t[47])/3 + (39*t[48])/8 - 
       (1135*t[49])/48 + (301*t[50])/24 + (841*t[51])/96 - (301*t[52])/24 + 
       (191*t[53])/48 - (81*t[54])/4 + (4*t[58])/3 + (20*t[59])/3 + 
       (1967*t[60])/24 - (233*t[61])/24 + (781*t[62])/48 - (5005*t[63])/48 - 
       (443*t[64])/16 + (1043*t[65])/24 - (3637*t[66])/72 + (14*t[70])/3 + 
       (4*t[71])/3 + 4*t[73] + 5*t[74] - 4*t[75] - (47*t[76])/3 + 
       (5*t[77])/3 + (65*t[78])/3 + 8*t[79] - 14*t[80] - (17*t[81])/6 - 
       (31*t[82])/6 - (16*t[83])/3 + (303*t[84])/8 + (407*t[85])/24 - 
       6*t[86] + (281*t[87])/24 + (467*t[88])/16 + (699*t[89])/16 - 
       10*t[95] - (38*t[96])/3 - 2*t[97] - 104*t[98] + 108*t[99] + 
       24*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((25*t[1])/36 - (133*t[2])/144 - (52*t[3])/9 + 
       (547*t[4])/64 - (325*t[5])/24 + (73*t[6])/24 - (593*t[7])/144 - 
       (135*t[8])/16 + (191*t[9])/36 + (5837*t[10])/1152 + (31*t[11])/12 + 
       (1253*t[12])/128 + (61079*t[13])/5184 - (27043*t[14])/2304 - 
       (5591*t[15])/3456 + t[25]/9 + (19*t[26])/36 + (55*t[27])/18 + 
       (31*t[28])/12 + (19*t[30])/12 + (13*t[31])/36 - (7*t[34])/18 - 
       (19*t[35])/6 - t[36]/3 + (139*t[37])/36 - (5*t[38])/36 + (5*t[39])/6 - 
       (25*t[40])/36 + (7*t[41])/36 - (7*t[42])/36 + (19*t[43])/24 - 
       (31*t[44])/12 - (19*t[45])/18 - (35*t[46])/24 + (19*t[47])/9 - 
       (5*t[48])/4 - (3079*t[49])/384 + (157*t[50])/36 + (2497*t[51])/2304 - 
       (85*t[52])/36 + (7301*t[53])/1152 - (12605*t[54])/576 + 
       (11*t[58])/18 + (113*t[59])/36 - (1157*t[60])/576 - (3161*t[61])/192 + 
       (16811*t[62])/1152 - (49627*t[63])/1152 + (2009*t[64])/1152 + 
       (23275*t[65])/576 + (17815*t[66])/1728 + (13*t[69])/2 - (28*t[70])/9 + 
       (28*t[71])/9 - (8*t[72])/3 + (55*t[73])/12 - (16*t[74])/3 - 
       (11*t[75])/12 + (7*t[76])/36 + (89*t[77])/36 + (29*t[78])/9 - 
       (3*t[79])/4 - t[80]/6 + (68*t[81])/9 - (263*t[82])/36 + 
       (271*t[83])/36 + (5045*t[84])/576 + (5765*t[85])/576 + (13*t[86])/36 + 
       (18319*t[87])/576 + (2231*t[88])/128 + (13643*t[89])/384 - 
       (7*t[95])/3 - (8*t[96])/9 - (5*t[97])/12 - (17*t[98])/3 + 9*t[99] + 
       (73*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((-39*t[1])/8 + (37*t[2])/24 - (79*t[3])/24 + 
       (739*t[4])/72 + (2911*t[5])/576 + (165*t[6])/16 + (2921*t[7])/288 + 
       (7049*t[8])/288 - (5899*t[9])/576 - (3769*t[10])/288 + 
       (4121*t[11])/288 + (7273*t[12])/576 + (1103*t[13])/54 - 
       (16619*t[14])/3456 + (2717*t[15])/1152 + t[19] + t[20] + t[21] - 
       t[23] + (15*t[25])/4 + 4*t[26] - t[27]/12 - (9*t[28])/4 + t[29]/2 - 
       (29*t[31])/12 + t[32]/2 - t[33]/2 - (7*t[34])/6 + 2*t[35] + 
       (23*t[36])/24 - (11*t[37])/12 - (27*t[38])/4 - 2*t[39] + t[40]/6 + 
       (19*t[41])/12 - (19*t[42])/12 + t[44]/2 - (17*t[45])/12 - 
       (17*t[46])/8 + (10*t[47])/3 + (47*t[48])/8 - (281*t[49])/36 + 
       (31*t[50])/24 - (709*t[51])/384 + (5*t[52])/24 + (55*t[53])/72 - 
       (435*t[54])/32 + t[58]/3 + (9*t[59])/2 + (871*t[60])/72 + 
       (1289*t[61])/48 - (11179*t[62])/576 - (35245*t[63])/576 + 
       (7633*t[64])/288 + (23897*t[65])/864 + (20675*t[66])/864 - 
       (5*t[69])/6 + t[70]/6 - t[71]/6 + (3*t[72])/4 - (31*t[73])/24 + 
       (7*t[74])/12 - (43*t[75])/24 - (20*t[76])/3 - (4*t[77])/3 - t[78]/12 + 
       (55*t[79])/24 + (3*t[80])/4 - (39*t[81])/4 + 3*t[82] - (41*t[83])/72 + 
       (431*t[84])/32 - (151*t[85])/96 + (1637*t[86])/72 + (4843*t[87])/144 + 
       (6583*t[88])/288 + (1745*t[89])/48 - (31*t[95])/6 - t[96]/6 + t[97] - 
       44*t[98] + 38*t[99] + (73*t[100])/3) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*((-25*t[1])/24 + (21*t[3])/16 + 
       (59*t[4])/48 + (259*t[5])/48 + (75*t[6])/64 - (77*t[7])/12 + 
       (83*t[8])/24 - (65*t[9])/24 + (5*t[10])/24 - (559*t[11])/192 + 
       (605*t[12])/96 + (407*t[13])/36 - (461*t[14])/48 + (103*t[15])/72 - 
       t[16]/2 + (5*t[25])/8 + (5*t[26])/12 + t[27]/2 + t[28]/2 - t[30] - 
       t[31]/2 - (3*t[35])/2 - t[36]/3 - (25*t[38])/24 + t[39]/2 - t[40]/2 - 
       t[43]/2 + (3*t[45])/2 + (29*t[46])/16 - 3*t[47] + (91*t[48])/64 - 
       (85*t[49])/24 - (253*t[50])/64 + (13*t[51])/64 + (253*t[52])/64 + 
       (97*t[53])/24 + (535*t[54])/192 + (25*t[59])/48 + (535*t[60])/96 - 
       (2083*t[61])/96 + (8491*t[62])/192 - (3497*t[63])/192 - 
       (997*t[64])/64 + (2509*t[65])/144 + (29*t[66])/4 - (3*t[69])/4 - 
       (3*t[72])/2 + (7*t[73])/4 - (23*t[74])/12 + (31*t[75])/4 + 3*t[76] + 
       t[77]/2 - (3*t[78])/2 + (7*t[79])/4 - 3*t[80] + (103*t[81])/48 + 
       (41*t[82])/48 - (485*t[83])/24 + (149*t[84])/48 + (547*t[85])/96 - 
       (317*t[86])/12 + (125*t[87])/32 + (199*t[88])/192 + (3263*t[89])/192 + 
       (11*t[95])/6 + 12*t[98] - 10*t[99] + (195*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      (t[1]/12 - (19*t[2])/12 + (11*t[3])/3 + (181*t[4])/48 - (355*t[5])/96 - 
       (35*t[6])/192 - (171*t[7])/16 - (427*t[8])/16 - (119*t[9])/96 - 
       (195*t[10])/32 + (1357*t[11])/192 - (2*t[12])/3 + (2401*t[13])/288 - 
       (711*t[14])/64 - (79*t[15])/576 + t[19] - t[20] - t[21] + t[22] + 
       t[23] - (5*t[25])/6 - (11*t[26])/8 - (5*t[27])/12 + (7*t[28])/4 - 
       t[29]/2 + t[30]/2 + (29*t[31])/12 - t[32]/2 + t[33]/2 + (4*t[34])/3 - 
       t[35] - (29*t[36])/6 - (10*t[37])/3 + (29*t[38])/24 - t[39]/3 + 
       t[40]/6 - (7*t[41])/6 + (7*t[42])/6 + t[43]/4 + t[44]/2 + 
       (25*t[45])/12 + (95*t[46])/12 - (14*t[47])/3 - (501*t[48])/64 - 
       (557*t[49])/24 + (379*t[50])/64 - (229*t[51])/192 - (443*t[52])/64 + 
       (207*t[53])/16 - (3179*t[54])/192 - t[58]/6 - (7*t[59])/8 + 
       (2263*t[60])/96 - (949*t[61])/48 + (1333*t[62])/64 - 
       (4487*t[63])/192 - (407*t[64])/32 + (1733*t[65])/96 + 
       (6641*t[66])/288 + (29*t[69])/12 + (11*t[70])/6 - (11*t[71])/6 + 
       (11*t[72])/12 - (17*t[73])/24 + (7*t[74])/2 + (79*t[75])/24 - 
       (53*t[76])/6 + t[77]/3 + (67*t[78])/6 - (43*t[79])/12 - 
       (79*t[80])/12 - (25*t[81])/16 - (61*t[82])/48 - (47*t[83])/12 + 
       (1901*t[84])/96 + (55*t[85])/3 - (49*t[86])/4 + (473*t[87])/96 + 
       (1753*t[88])/192 + (3335*t[89])/192 - (31*t[95])/6 - (20*t[96])/3 - 
       (3*t[97])/2 - 44*t[98] + 38*t[99] + (99*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-7*t[1])/2 + (3*t[2])/4 + 3*t[3] + (219*t[4])/8 + (41*t[5])/4 + 
       (53*t[6])/8 - (43*t[7])/4 - (25*t[8])/4 - 16*t[9] - (457*t[10])/16 + 
       (35*t[11])/8 - (33*t[12])/16 + (3661*t[13])/72 - (1135*t[14])/32 + 
       (149*t[15])/48 + 4*t[19] + 4*t[20] + 4*t[21] - 4*t[22] - 4*t[23] + 
       4*t[25] - 3*t[26] - 4*t[27] + 2*t[29] - t[30] - 2*t[32] + 2*t[33] + 
       t[34] - 3*t[36] - 2*t[37] - 2*t[38] - (11*t[39])/2 + (9*t[40])/2 + 
       (3*t[41])/2 - (3*t[42])/2 + t[43]/2 + 2*t[44] - 3*t[45] - 4*t[46] + 
       2*t[47] + t[48]/8 - (55*t[49])/16 - (23*t[50])/8 + (213*t[51])/32 + 
       (7*t[52])/8 - (145*t[53])/16 - (49*t[54])/4 + (3*t[59])/4 + 
       (731*t[60])/8 - (321*t[61])/8 + (399*t[62])/16 - (1287*t[63])/16 + 
       (695*t[64])/16 + (345*t[65])/8 + (313*t[66])/8 - 2*t[69] + 4*t[70] - 
       4*t[71] + t[72] + 3*t[74] + 2*t[75] - (13*t[76])/2 - 2*t[77] + 
       (41*t[78])/2 + 3*t[79] + 14*t[80] + (3*t[81])/2 + (7*t[82])/2 - 
       16*t[83] + (247*t[84])/8 + (121*t[85])/8 + 3*t[86] - (41*t[87])/8 + 
       (111*t[88])/16 + (833*t[89])/16 - 6*t[95] - 9*t[96] - t[97]/2 - 
       36*t[98] + 20*t[99] + 25*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Omega2[v, w, u]*((-19*t[1])/3 + (23*t[2])/3 - (4*t[3])/3 - 
       (1049*t[4])/24 - (71*t[5])/4 + (149*t[6])/6 - (9*t[7])/2 + 
       (47*t[8])/2 + (39*t[9])/4 - (385*t[10])/48 - (797*t[11])/12 + 
       (527*t[12])/48 - (2785*t[13])/72 - (1457*t[14])/288 + 
       (505*t[15])/144 - (4*t[25])/3 + (26*t[26])/3 - (2*t[27])/3 - 2*t[28] + 
       (8*t[31])/3 + (4*t[34])/3 + 4*t[35] - (14*t[37])/3 - (22*t[38])/3 + 
       (2*t[39])/3 - (7*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 + 2*t[44] + 
       (4*t[45])/3 - (4*t[46])/3 - (8*t[47])/3 + 8*t[48] - (57*t[49])/16 + 
       10*t[50] - (139*t[51])/96 + (65*t[53])/16 + (161*t[54])/8 + 
       (4*t[58])/3 + (7*t[59])/6 - (1627*t[60])/24 - (707*t[61])/24 + 
       (3131*t[62])/48 + (2957*t[63])/48 + (77*t[64])/48 + (4573*t[65])/72 + 
       (7367*t[66])/72 - (4*t[70])/3 + (4*t[71])/3 - (16*t[72])/3 + 4*t[73] - 
       2*t[74] - 4*t[75] - (46*t[76])/3 - (8*t[77])/3 + (65*t[78])/3 - 
       (58*t[80])/3 - 6*t[81] + (8*t[82])/3 - (4*t[83])/3 + (37*t[84])/24 + 
       (97*t[85])/24 - 4*t[86] + (1139*t[87])/24 + (289*t[88])/16 + 
       (619*t[89])/48 - (20*t[96])/3 - 7*t[97] - 80*t[98] + 102*t[99] + 
       25*t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((5*t[1])/8 + t[2]/8 + (77*t[3])/24 - (685*t[4])/144 + (127*t[5])/36 + 
       (8*t[6])/3 - (193*t[7])/72 - (41*t[8])/9 - (865*t[9])/144 - 
       (2123*t[10])/144 - (127*t[11])/72 + (313*t[12])/36 + 
       (2569*t[13])/432 - (19139*t[14])/864 + (595*t[15])/144 - t[25]/6 - 
       (7*t[26])/12 + (4*t[27])/3 - t[30]/4 - (7*t[31])/12 + t[34]/4 - 
       t[35] - (43*t[36])/12 + (3*t[38])/4 - (2*t[39])/3 + t[40]/4 - 
       t[41]/8 + t[42]/8 - t[43]/8 - t[44] - (13*t[46])/12 - (5*t[48])/8 - 
       (277*t[49])/72 + (17*t[50])/8 + (297*t[51])/32 - (15*t[52])/8 + 
       (413*t[53])/144 + (127*t[54])/24 + t[58]/4 - (3*t[59])/4 - 
       (275*t[60])/72 - (361*t[61])/8 + (2453*t[62])/144 - (3157*t[63])/144 + 
       (12025*t[64])/288 + (1321*t[65])/432 + (11287*t[66])/432 + 
       (7*t[69])/3 + t[70] - t[71] + t[72]/3 + t[73] + t[74]/4 + 
       (7*t[75])/2 - (13*t[76])/12 - t[77]/6 + (17*t[78])/4 + (5*t[79])/3 - 
       (25*t[80])/6 - (19*t[81])/8 + (53*t[82])/24 - (31*t[83])/9 - 
       (277*t[84])/48 - (151*t[85])/24 - (43*t[86])/18 - (209*t[87])/144 + 
       (1159*t[88])/288 - t[89]/2 - 2*t[95] - (5*t[96])/2 - t[97]/2 - 
       9*t[98] + 7*t[99] + (76*t[100])/3) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-21*t[1])/4 + (29*t[2])/12 - (9*t[3])/2 - (57*t[4])/32 - 
       (39*t[5])/4 - (137*t[6])/48 - (10*t[7])/3 - (35*t[8])/4 + 
       (487*t[9])/24 + (1031*t[10])/192 - (495*t[11])/16 - (651*t[12])/64 - 
       (12103*t[13])/864 + (2753*t[14])/1152 + (293*t[15])/1728 - 2*t[25] + 
       (29*t[26])/6 - (8*t[27])/3 + t[28]/3 - t[29] - (7*t[30])/6 + 
       (9*t[31])/2 - t[32] + t[33] + (5*t[34])/6 + (10*t[35])/3 + 
       (5*t[36])/6 + (7*t[37])/3 - (10*t[38])/3 + (7*t[39])/6 + (7*t[40])/6 - 
       (5*t[41])/12 + (5*t[42])/12 - (7*t[43])/12 + (16*t[44])/3 + 
       (8*t[45])/3 + (5*t[46])/4 - (19*t[47])/3 + (5*t[48])/16 + 
       (1465*t[49])/192 + (119*t[50])/48 - (1195*t[51])/128 - (5*t[52])/16 - 
       (1057*t[53])/192 - (315*t[54])/32 - t[58]/6 - (2*t[59])/3 + 
       (1733*t[60])/96 - (2897*t[61])/96 + (1531*t[62])/64 + 
       (2111*t[63])/192 - (4959*t[64])/64 + (11267*t[65])/288 + 
       (3415*t[66])/96 - (8*t[69])/3 + (5*t[70])/3 - (5*t[71])/3 - 
       (22*t[72])/3 - t[73]/2 - (7*t[74])/6 + (9*t[75])/2 - t[76]/2 - 
       (2*t[77])/3 + (25*t[78])/2 - (32*t[79])/3 - (32*t[80])/3 + 
       (20*t[81])/3 - 2*t[82] - (2*t[83])/3 + (517*t[84])/32 + 
       (2591*t[85])/96 - (19*t[86])/3 - (1379*t[87])/96 - (3139*t[88])/192 + 
       (5399*t[89])/192 - (4*t[95])/3 - 2*t[96] - (7*t[97])/3 + 16*t[98] - 
       8*t[99] + (51*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((-55*t[1])/18 - (569*t[2])/144 + (199*t[3])/18 + 
       (61*t[4])/9 + (2405*t[5])/144 - (593*t[6])/48 + (29*t[7])/9 - 
       (1339*t[8])/72 - (853*t[9])/72 + (695*t[10])/36 - (89*t[11])/72 + 
       (289*t[12])/36 - (2273*t[13])/1296 - (163*t[14])/108 - 
       (1361*t[15])/432 - t[20] - t[21] + t[22] + t[23] + (89*t[26])/36 - 
       (19*t[27])/18 - t[28]/4 + t[29]/2 - (11*t[30])/6 + (5*t[31])/9 + 
       t[32]/2 - t[33]/2 - (11*t[34])/18 + t[35]/2 + (3*t[36])/4 - 
       (17*t[37])/18 - (77*t[38])/36 + t[39]/4 + (67*t[40])/36 - 
       (7*t[41])/36 + (7*t[42])/36 - (2*t[43])/3 + (11*t[44])/2 + 
       (11*t[45])/9 - (23*t[46])/24 - (13*t[47])/9 - (147*t[48])/16 + 
       (437*t[49])/72 - (863*t[50])/144 - (743*t[51])/144 + (119*t[52])/144 - 
       (689*t[53])/144 - (73*t[54])/12 - (25*t[58])/36 + (55*t[59])/36 + 
       (217*t[60])/72 - (1613*t[61])/144 - (1381*t[62])/144 + 
       (3679*t[63])/144 - (2687*t[64])/96 - (449*t[65])/36 + 
       (1117*t[66])/216 - (5*t[69])/6 + (23*t[70])/18 - (23*t[71])/18 - 
       (5*t[72])/6 - (109*t[73])/12 - t[74]/2 + (253*t[75])/12 + 
       (35*t[76])/36 - (71*t[77])/36 - (167*t[78])/36 + t[80] - 
       (73*t[81])/72 + (727*t[82])/72 - (145*t[83])/18 - (191*t[84])/24 - 
       (7*t[85])/144 - (55*t[86])/6 - (491*t[87])/18 - (137*t[88])/12 - 
       (59*t[89])/6 + (2*t[95])/3 + (20*t[96])/9 + (7*t[97])/2 + 
       (71*t[98])/3 - 29*t[99] + 26*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((15*t[1])/4 + 9*t[2] - 
       (61*t[3])/3 - (4349*t[4])/96 - (1271*t[5])/48 + (407*t[6])/8 + 
       (493*t[7])/12 + (333*t[8])/4 + (403*t[9])/16 - (8111*t[10])/192 + 
       (49*t[11])/12 + (7901*t[12])/192 - (9029*t[13])/864 + 
       (66967*t[14])/1152 + (10409*t[15])/1728 + t[16] + (13*t[25])/3 - 
       (17*t[26])/6 - (2*t[27])/3 - (20*t[28])/3 + t[29] - (31*t[30])/6 - 
       (5*t[31])/6 - (8*t[32])/3 + (8*t[33])/3 + (28*t[35])/3 - (7*t[36])/3 - 
       (73*t[37])/6 - (2*t[38])/3 + (5*t[39])/3 - (61*t[40])/6 - 
       (11*t[43])/12 + t[44]/3 - (35*t[45])/6 - (11*t[46])/4 + 9*t[47] + 
       (667*t[48])/24 - (6193*t[49])/192 - (19*t[50])/8 + (7481*t[51])/384 + 
       (425*t[52])/24 + (4681*t[53])/192 + (5767*t[54])/96 + (7*t[58])/3 - 
       (2*t[59])/3 - (1611*t[60])/32 + (10045*t[61])/96 + (3323*t[62])/192 - 
       (281*t[63])/64 - (7567*t[64])/192 - (931*t[65])/288 - 
       (24029*t[66])/288 + 2*t[68] + (16*t[69])/3 - (10*t[70])/3 + 
       (10*t[71])/3 + 5*t[72] + (3*t[73])/2 + 5*t[74] - (11*t[75])/2 - 
       (47*t[76])/2 + (31*t[77])/6 + (23*t[78])/3 + (34*t[79])/3 - 
       (10*t[80])/3 - (259*t[81])/12 + (19*t[82])/4 - (44*t[83])/3 + 
       (1433*t[84])/96 - (3091*t[85])/96 - (68*t[86])/3 + (5695*t[87])/96 + 
       (3029*t[88])/64 - (4915*t[89])/192 + t[95]/3 - 2*t[96] - 
       (23*t[97])/3 - 188*t[98] + 182*t[99] + 26*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-39*t[1])/8 + (29*t[2])/24 + (65*t[3])/24 - (269*t[4])/24 + 
       (17*t[5])/2 + (377*t[6])/48 - (13*t[7])/4 + (21*t[8])/2 - 
       (43*t[9])/8 - (581*t[10])/96 - (15*t[11])/2 + (693*t[12])/32 + 
       (11*t[13])/24 - (11197*t[14])/576 + (1205*t[15])/288 + t[25]/3 + 
       (31*t[26])/6 + (2*t[27])/3 + t[29]/2 - t[30] - (2*t[31])/3 + t[32]/2 - 
       t[33]/2 - t[34]/12 - (3*t[35])/2 - (2*t[36])/3 - (5*t[37])/6 - 
       (21*t[38])/4 + (5*t[39])/6 - (7*t[40])/6 + t[41]/24 - t[42]/24 - 
       t[43]/2 + (5*t[45])/3 - t[46]/4 - (17*t[47])/6 + (53*t[48])/16 - 
       (205*t[49])/32 - (3*t[50])/16 + (1217*t[51])/192 + (31*t[52])/16 + 
       (671*t[53])/96 + (307*t[54])/48 + (5*t[58])/12 + (9*t[59])/4 - 
       (899*t[60])/48 - (1463*t[61])/48 + (3193*t[62])/96 - (1157*t[63])/96 + 
       (749*t[64])/32 + (171*t[65])/8 + (2437*t[66])/72 + (14*t[69])/3 + 
       t[70]/3 - t[71]/3 - (13*t[72])/6 + (19*t[73])/6 - t[74] - 
       (23*t[76])/12 + t[77]/6 + (17*t[78])/6 + (29*t[79])/6 - (17*t[80])/3 + 
       (10*t[82])/3 - (20*t[83])/3 - (19*t[84])/8 - (19*t[85])/4 - 
       (37*t[86])/2 + (155*t[87])/12 + (35*t[88])/4 + (743*t[89])/96 + 
       t[95] - (4*t[96])/3 - (3*t[97])/4 - 16*t[98] + 16*t[99] + 
       (107*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]^2*((3*t[1])/4 - (3*t[2])/4 + (5*t[3])/24 - 
       (35*t[4])/16 - (273*t[5])/64 - (55*t[6])/16 - (257*t[7])/48 - 
       (517*t[8])/48 + (11*t[9])/192 + (31*t[10])/12 - (997*t[11])/96 + 
       (371*t[12])/192 + (22*t[13])/9 - (7933*t[14])/576 - (835*t[15])/1152 + 
       (3*t[16])/16 - (5*t[25])/3 + (7*t[26])/24 + t[27] + t[28]/2 - 
       t[35]/2 + (19*t[36])/24 - t[37] + (3*t[38])/2 - t[39]/2 + t[40]/2 - 
       t[44] - (3*t[45])/2 - (45*t[46])/16 + 3*t[47] - (59*t[48])/16 - 
       (17*t[49])/24 + (59*t[50])/48 + (571*t[51])/96 - (59*t[52])/48 + 
       (49*t[53])/12 - (85*t[54])/48 - (2*t[59])/3 - (25*t[60])/3 - 
       (1699*t[61])/48 + (545*t[62])/24 - (353*t[63])/32 - (89*t[64])/12 + 
       (3031*t[65])/144 + (907*t[66])/48 + t[67]/16 + (9*t[69])/4 + t[70]/4 - 
       t[71]/4 - t[72] + t[73]/4 - (133*t[74])/24 + (43*t[75])/4 + 2*t[76] + 
       t[77]/2 + t[78]/2 - (17*t[79])/4 + (7*t[80])/2 + (17*t[81])/6 - 
       (17*t[82])/6 - (133*t[83])/24 - (41*t[84])/12 + 2*t[85] - 
       (13*t[86])/12 + (139*t[87])/16 + (329*t[88])/96 + (643*t[89])/96 + 
       (11*t[95])/6 + 12*t[98] - 10*t[99] + (215*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-9*t[1] + (51*t[4])/4 - (3*t[5])/4 + (3*t[7])/2 + (3*t[8])/2 + 
       (3*t[9])/4 - (75*t[10])/4 + (39*t[11])/4 + (63*t[12])/2 + 13*t[13] - 
       (89*t[14])/4 + (23*t[15])/8 + 9*t[26] - 6*t[36] - 9*t[38] - 
       (27*t[49])/4 + 3*t[51] + (27*t[53])/4 - (33*t[54])/4 + (9*t[59])/2 + 
       15*t[60] - 27*t[61] + 21*t[62] - (117*t[63])/2 + (3*t[64])/4 + 
       (91*t[65])/4 + (101*t[66])/4 + 6*t[69] + 6*t[73] + 6*t[75] - 6*t[79] - 
       9*t[83] + (33*t[84])/4 + (33*t[85])/4 + 6*t[86] - (3*t[87])/4 + 
       (9*t[88])/8 + 24*t[89] + 27*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*((-65*t[1])/12 + (55*t[2])/12 - 
       (29*t[3])/3 - (145*t[4])/24 - (119*t[5])/8 + (443*t[6])/12 + 2*t[7] + 
       45*t[8] + (87*t[9])/8 + (655*t[10])/48 - (191*t[11])/6 + 
       (697*t[12])/48 - (299*t[13])/24 + (3287*t[14])/288 + (257*t[15])/72 + 
       (4*t[25])/3 + (47*t[26])/6 - (4*t[27])/3 - t[28] + t[29] - 2*t[30] + 
       (7*t[31])/3 + t[32] - t[33] - (5*t[34])/6 + 2*t[35] - 3*t[36] - 
       (16*t[37])/3 - (23*t[38])/3 + (10*t[39])/3 - (17*t[40])/3 + 
       (5*t[41])/12 - (5*t[42])/12 - t[43] + 2*t[44] + (8*t[45])/3 - 
       t[46]/6 - (13*t[47])/3 + (27*t[48])/2 - (41*t[49])/16 + 2*t[50] - 
       (575*t[51])/96 + (15*t[52])/2 - (31*t[53])/16 + (53*t[54])/8 + 
       (13*t[58])/6 + (25*t[59])/12 - (83*t[60])/24 + (89*t[61])/24 + 
       (1945*t[62])/48 - (1385*t[63])/48 - (479*t[64])/48 + (3569*t[65])/72 + 
       (4567*t[66])/72 + t[69] + (4*t[70])/3 - (4*t[71])/3 - (17*t[72])/3 + 
       4*t[73] - t[75] - (91*t[76])/6 + (5*t[77])/3 + (67*t[78])/3 + 
       4*t[79] - (80*t[80])/3 - 6*t[81] - (8*t[82])/3 - (97*t[83])/6 + 
       (299*t[84])/24 + (53*t[85])/24 - 24*t[86] + (811*t[87])/24 + 
       (377*t[88])/16 + (2147*t[89])/48 - 4*t[95] - (16*t[96])/3 - 
       (7*t[97])/2 - 88*t[98] + 96*t[99] + (57*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-16*t[1])/3 - t[3]/2 - (175*t[4])/24 - (65*t[5])/24 - t[6]/8 + 
       (47*t[7])/12 + (59*t[8])/12 + (77*t[9])/24 - (659*t[10])/24 - 
       (23*t[11])/12 + (395*t[12])/12 - (91*t[13])/18 - (47*t[14])/2 + 
       (79*t[15])/16 + 3*t[16] + t[25] + (19*t[26])/3 - (35*t[36])/3 - 
       (16*t[38])/3 - 4*t[46] - t[48]/8 - (215*t[49])/24 - (9*t[50])/8 + 
       (13*t[51])/2 + (9*t[52])/8 + (239*t[53])/24 + (13*t[54])/6 + 
       (8*t[59])/3 + (103*t[60])/12 - (199*t[61])/12 + (493*t[62])/24 - 
       (401*t[63])/24 + (309*t[64])/8 + (979*t[65])/72 + (1355*t[66])/24 + 
       t[67] + 4*t[69] - 19*t[73] + (8*t[74])/3 + 69*t[75] - 9*t[79] + 
       (7*t[81])/6 - (7*t[82])/6 - (137*t[83])/3 - (13*t[84])/24 + 
       (5*t[85])/24 + (41*t[86])/3 - (25*t[87])/8 - (511*t[88])/48 + 
       (247*t[89])/12 + (8*t[95])/3 + 29*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((25*t[1])/6 + t[3]/2 + (113*t[4])/24 - (5*t[5])/24 - (7*t[6])/8 + 
       (17*t[7])/12 + (5*t[8])/12 - (7*t[9])/24 - (863*t[10])/24 - 
       (14*t[11])/3 - (7*t[12])/12 + (395*t[13])/18 - (389*t[14])/8 + 
       (163*t[15])/16 - t[25] - (19*t[26])/6 - (11*t[36])/3 + (25*t[38])/6 - 
       2*t[46] - (7*t[48])/8 + (13*t[49])/24 + t[50]/8 + (107*t[51])/8 - 
       t[52]/8 + (23*t[53])/24 + (11*t[54])/12 - (25*t[59])/12 + 
       (121*t[60])/12 - (160*t[61])/3 + (1693*t[62])/24 - (1949*t[63])/24 + 
       (297*t[64])/8 + (3379*t[65])/72 + (1195*t[66])/24 - 25*t[73] + 
       (2*t[74])/3 + 75*t[75] - 3*t[79] + t[81]/6 - t[82]/6 - (101*t[83])/3 - 
       (37*t[84])/24 - (7*t[85])/24 + (23*t[86])/3 - (29*t[87])/8 - 
       (523*t[88])/48 + (106*t[89])/3 + (8*t[95])/3 + 29*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((-1421*t[1])/144 + (473*t[2])/72 - (3427*t[3])/288 - (1667*t[4])/36 - 
       (3091*t[5])/192 + (22853*t[6])/576 - (209*t[7])/96 + (2851*t[8])/96 + 
       (1829*t[9])/192 + (197*t[10])/72 - (47977*t[11])/576 + 
       (367*t[12])/576 - (8549*t[13])/192 + (17087*t[14])/864 + 
       (28187*t[15])/3456 + (7*t[16])/8 - (173*t[25])/36 + (1049*t[26])/72 - 
       (46*t[27])/9 - 3*t[28] - (11*t[30])/12 + (46*t[31])/9 + 
       (13*t[34])/72 + 3*t[35] + (65*t[36])/12 - (337*t[37])/36 - 
       (113*t[38])/9 + (23*t[39])/72 - (535*t[40])/72 - (13*t[41])/144 + 
       (13*t[42])/144 + (47*t[43])/48 + (103*t[44])/8 + (245*t[45])/144 - 
       (145*t[46])/18 - (245*t[47])/72 + (357*t[48])/64 + (1291*t[49])/96 + 
       (955*t[50])/192 - (1247*t[51])/288 + (335*t[52])/64 - (859*t[53])/96 + 
       (5729*t[54])/192 + (97*t[58])/72 + (661*t[59])/144 - 
       (17237*t[60])/288 + (4067*t[61])/288 + (35071*t[62])/576 + 
       (53773*t[63])/576 - (26525*t[64])/576 + (58163*t[65])/864 + 
       (90277*t[66])/864 + (9*t[68])/4 - t[69]/2 - (49*t[70])/18 + 
       (49*t[71])/18 - (86*t[72])/9 + (13*t[73])/3 - (20*t[74])/3 - 
       (28*t[75])/3 - (347*t[76])/36 + (47*t[77])/36 + (1349*t[78])/72 + 
       (17*t[79])/2 - (149*t[80])/9 - (25*t[81])/6 - (295*t[82])/72 - 
       (311*t[83])/36 - (2095*t[84])/288 + (1103*t[85])/288 - 
       (757*t[86])/24 + (9253*t[87])/288 + (269*t[88])/64 + 
       (8711*t[89])/576 + t[91]/24 - t[93]/2 + (14*t[95])/3 - 
       (121*t[96])/36 - (43*t[97])/8 + (86*t[98])/3 - 28*t[99] + 
       (59*t[100])/2) + HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u]*
      ((-21*t[1])/4 - 2*t[2] + (31*t[3])/4 + (107*t[4])/8 + (79*t[5])/4 - 
       (109*t[6])/8 - (39*t[7])/4 - (71*t[8])/4 - 16*t[9] - (107*t[10])/16 + 
       (75*t[11])/8 + (101*t[12])/16 + (197*t[13])/18 - (1121*t[14])/96 - 
       (67*t[15])/48 - 2*t[19] + 2*t[20] + 2*t[21] - t[22] - 2*t[23] + 
       3*t[25] + t[27] - t[29] - 3*t[30] - 2*t[31] - t[32] + t[33] + 
       t[34]/2 - t[36] + 3*t[37] - (7*t[38])/2 - t[39] + (5*t[40])/2 + 
       t[41]/4 - t[42]/4 - t[43]/2 - t[45] + t[46] - (17*t[48])/8 - 
       (73*t[49])/16 - (41*t[50])/8 + (29*t[51])/32 - (3*t[52])/8 - 
       (31*t[53])/16 - (23*t[54])/2 + (3*t[59])/2 + (165*t[60])/8 - 
       (161*t[61])/8 - (91*t[62])/16 - (525*t[63])/16 - (69*t[64])/16 + 
       (73*t[65])/24 + (29*t[66])/8 + 2*t[70] - 2*t[71] + t[74] + 3*t[76] + 
       2*t[77] - 8*t[78] + 8*t[80] - t[81]/2 + (3*t[82])/2 + (13*t[84])/8 + 
       (27*t[85])/8 - (87*t[87])/8 + (65*t[88])/16 + (119*t[89])/16 - 
       2*t[95] - 2*t[96] + 2*t[97] + 12*t[98] - 24*t[99] + 30*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*Omega2[w, u, v]*((7*t[1])/4 - (9*t[2])/2 + 
       (11*t[3])/4 + (159*t[4])/8 + t[5]/8 - (33*t[6])/4 + t[7] - 10*t[8] - 
       (53*t[9])/8 + (519*t[10])/16 + (21*t[11])/2 - (223*t[12])/16 - 
       (67*t[13])/36 + (1103*t[14])/96 - (73*t[15])/12 - 2*t[19] - 2*t[20] - 
       2*t[21] + 2*t[22] + 2*t[23] - t[26] + 2*t[27] - t[29] - 3*t[30] - 
       2*t[31] + t[32] - t[33] - t[34]/2 - t[36] - t[37] + (3*t[38])/2 + 
       t[39] + t[40]/2 - (3*t[41])/4 + (3*t[42])/4 - t[43]/2 + 3*t[45] - 
       4*t[47] - (11*t[48])/2 + (53*t[49])/16 - (9*t[50])/2 - 
       (183*t[51])/32 - (109*t[53])/16 - (125*t[54])/8 - t[59]/2 + 
       (169*t[60])/8 + (141*t[61])/8 - (445*t[62])/16 - (219*t[63])/16 - 
       (767*t[64])/16 - (41*t[65])/24 - (97*t[66])/8 + 2*t[70] - 2*t[71] + 
       4*t[72] + t[74] + 3*t[76] + t[77] - 7*t[78] - 6*t[80] + t[81]/2 - 
       t[82]/2 + t[83] + (11*t[84])/8 + (37*t[85])/8 - 10*t[86] - 
       (101*t[87])/8 + (59*t[88])/16 + (7*t[89])/16 - 2*t[95] + 3*t[97] + 
       12*t[98] - 24*t[99] + 30*t[100]) + HPL[{1}, 1 - u]^2*Qep[v, u, w]*
      (-56*t[4] - (4*t[5])/3 + (8*t[7])/3 + (8*t[8])/3 + (4*t[9])/3 - 
       (76*t[10])/3 + 8*t[11] + 80*t[12] - (280*t[13])/9 + (136*t[14])/9 - 
       (14*t[15])/9 - (32*t[36])/3 - (28*t[49])/3 + (100*t[51])/3 + 
       (76*t[53])/3 + (224*t[54])/3 - (248*t[60])/3 - (280*t[61])/3 - 
       (296*t[62])/3 + (136*t[63])/3 + (380*t[64])/3 - (1184*t[65])/9 - 
       (1504*t[66])/9 + (32*t[69])/3 + (32*t[73])/3 + 32*t[75] - 
       (32*t[79])/3 - (80*t[83])/3 - (224*t[84])/3 - (224*t[85])/3 + 
       (32*t[86])/3 - 24*t[87] - 12*t[88] - 156*t[89] + 32*t[100]) + 
     HPL[{1}, 1 - u]^2*Qep[v, w, u]*((296*t[4])/3 + (2*t[5])/3 - (4*t[7])/3 - 
       (4*t[8])/3 - (2*t[9])/3 + (260*t[10])/3 + (52*t[11])/3 - 
       (98*t[12])/3 + (40*t[13])/3 + (559*t[14])/9 - (259*t[15])/9 - 
       (16*t[36])/3 + (56*t[49])/3 - (133*t[51])/3 - (104*t[53])/3 - 
       (164*t[54])/3 + (448*t[60])/3 + (112*t[61])/3 - (38*t[62])/3 - 
       (74*t[63])/3 - 208*t[64] - (52*t[65])/3 - (388*t[66])/9 - 
       (32*t[69])/3 + (16*t[73])/3 + 16*t[75] - (16*t[79])/3 - 
       (128*t[83])/3 + (164*t[84])/3 + (164*t[85])/3 - (16*t[86])/3 - 
       (80*t[87])/3 - (40*t[88])/3 + 40*t[89] + 32*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((5*t[3])/2 - (677*t[4])/24 + (37*t[5])/4 + (5*t[6])/8 - (11*t[7])/4 + 
       (5*t[8])/4 - (29*t[9])/4 - (405*t[10])/16 - (211*t[11])/24 + 
       (817*t[12])/48 + (29*t[13])/72 - (819*t[14])/32 + (1381*t[15])/144 - 
       t[25] + t[26] + t[27] - t[29] - (2*t[36])/3 + t[46]/2 - t[48]/8 - 
       (95*t[49])/16 - t[50]/8 + (1391*t[51])/96 + t[52]/8 + (159*t[53])/16 + 
       (233*t[54])/12 - (301*t[60])/8 - (1115*t[61])/24 + (373*t[62])/16 - 
       (53*t[63])/16 + (4261*t[64])/48 - (11*t[65])/72 + (677*t[66])/24 + 
       (11*t[69])/3 - t[72]/2 - t[73]/3 + t[75] + (3*t[76])/2 + (7*t[79])/3 - 
       t[80] - t[81]/2 + (7*t[82])/2 + (7*t[83])/2 - (439*t[84])/24 - 
       (409*t[85])/24 - 11*t[86] + (119*t[87])/24 + (119*t[88])/48 - 
       (107*t[89])/16 - 4*t[99] + 32*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^3*((-77*t[1])/24 + (133*t[2])/24 + (23*t[3])/12 - 
       (2381*t[4])/96 - (257*t[5])/32 + (899*t[6])/96 - 3*t[7] + 
       (39*t[8])/4 + (89*t[9])/32 - (271*t[10])/192 - (4195*t[11])/96 + 
       (779*t[12])/192 - (7717*t[13])/288 - (4457*t[14])/1152 - t[15]/288 - 
       t[19] + t[20] + t[21] - t[22]/2 - t[23] - (5*t[25])/6 + 
       (53*t[26])/12 - t[27]/6 - t[28]/2 + t[30]/2 + (13*t[31])/6 + 
       (5*t[34])/6 + t[35] + t[36]/4 - (17*t[37])/12 - (43*t[38])/12 + 
       (5*t[39])/12 - (13*t[40])/12 - t[41]/6 + t[42]/6 + t[43]/4 + 
       t[45]/12 - (5*t[46])/6 - t[47]/6 + (85*t[48])/32 - (75*t[49])/64 + 
       (141*t[50])/32 - (559*t[51])/384 + (3*t[52])/32 + (139*t[53])/64 + 
       (21*t[54])/2 + (5*t[58])/6 - t[59]/12 - (4303*t[60])/96 - 
       (2177*t[61])/96 + (6569*t[62])/192 + (7439*t[63])/192 + 
       (623*t[64])/192 + (8617*t[65])/288 + (17723*t[66])/288 - (5*t[70])/6 + 
       (5*t[71])/6 - (10*t[72])/3 + t[73] - (3*t[74])/4 - t[75] - 
       (53*t[76])/6 - (11*t[77])/12 + (125*t[78])/12 - (13*t[80])/3 - 
       (49*t[81])/8 + (91*t[82])/24 - t[83]/3 - (287*t[84])/96 + 
       (283*t[85])/96 + (3*t[86])/2 + (2285*t[87])/96 + (511*t[88])/64 + 
       (763*t[89])/192 + t[95]/2 - (8*t[96])/3 - (7*t[97])/2 - 38*t[98] + 
       46*t[99] + (131*t[100])/4) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v]*((79*t[1])/8 + (87*t[2])/8 - (319*t[3])/8 - 
       (993*t[4])/8 - (167*t[5])/4 + (129*t[6])/2 + (227*t[7])/8 + 
       (901*t[8])/8 + (197*t[9])/8 + (2667*t[10])/16 - (1465*t[11])/8 - 
       (455*t[12])/16 - (10183*t[13])/48 + (15097*t[14])/96 + 
       (247*t[15])/16 - (5*t[16])/4 - 6*t[19] - (55*t[25])/2 + (55*t[26])/2 + 
       3*t[28] + 9*t[31] - (21*t[34])/4 - 3*t[35] + (17*t[36])/2 + 
       (15*t[37])/2 + 3*t[38] + (45*t[39])/4 - (27*t[40])/2 + (21*t[41])/8 - 
       (21*t[42])/8 + 6*t[45] - t[46]/2 - 12*t[47] + (213*t[48])/8 + 
       (855*t[49])/16 + t[50]/8 - (1125*t[51])/32 + (185*t[52])/8 - 
       (243*t[53])/16 + (349*t[54])/4 + 3*t[58] - (5*t[59])/8 - 
       (2619*t[60])/8 + (575*t[61])/4 - (825*t[62])/16 + (4617*t[63])/16 + 
       (389*t[64])/8 - (269*t[65])/12 + (433*t[66])/3 + (5*t[67])/4 + 
       12*t[69] - 18*t[70] + 18*t[71] - 6*t[72] - 24*t[73] - (45*t[74])/2 + 
       25*t[75] - (3*t[76])/2 + (9*t[77])/2 - (27*t[78])/4 - 11*t[79] - 
       (69*t[80])/2 - (47*t[81])/2 - (25*t[82])/2 + (93*t[83])/2 - 
       (355*t[84])/4 - (499*t[85])/8 - 7*t[86] + (749*t[87])/8 + 
       (113*t[88])/16 - (207*t[89])/4 + 18*t[95] + 21*t[96] - (15*t[97])/4 + 
       18*t[98] + 6*t[99] + 33*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((2363*t[1])/72 - 
       (407*t[2])/36 + (1211*t[3])/72 + (20755*t[4])/144 - (205*t[5])/48 - 
       (1819*t[6])/36 + (37*t[7])/6 - (857*t[8])/24 + (893*t[9])/48 + 
       (7439*t[10])/288 + (10663*t[11])/72 - (8983*t[12])/288 + 
       (14815*t[13])/144 - (30527*t[14])/1728 - (19631*t[15])/432 - t[16]/2 + 
       (103*t[25])/9 - (1073*t[26])/36 + (241*t[27])/18 + 16*t[28] + 
       7*t[29] + (17*t[30])/6 - (151*t[31])/18 + 2*t[32] - 2*t[33] - 
       (133*t[34])/36 - 26*t[35] - (19*t[36])/3 + (457*t[37])/18 + 
       (301*t[38])/9 + (85*t[39])/9 + (7*t[40])/36 + (133*t[41])/72 - 
       (133*t[42])/72 - (11*t[43])/6 - (45*t[44])/2 - (157*t[45])/36 + 
       (205*t[46])/36 + (193*t[47])/18 - (105*t[48])/8 - (221*t[49])/96 - 
       (709*t[50])/24 + (323*t[51])/576 + (141*t[52])/8 + (305*t[53])/96 - 
       (2263*t[54])/48 - (55*t[58])/36 - (110*t[59])/9 + (26963*t[60])/144 - 
       (14567*t[61])/144 - (27307*t[62])/288 - (88057*t[63])/288 + 
       (21203*t[64])/288 - (92189*t[65])/432 - (138889*t[66])/432 - 
       (25*t[68])/2 + t[69] + (25*t[70])/9 - (25*t[71])/9 + (94*t[72])/9 + 
       (7*t[73])/3 + (34*t[74])/3 - (7*t[75])/3 + (2209*t[76])/36 + 
       (50*t[77])/9 - (1843*t[78])/18 + 10*t[79] + (323*t[80])/18 + 
       (229*t[81])/12 - (899*t[82])/36 - (61*t[83])/18 + (1315*t[84])/144 + 
       (4399*t[85])/144 + (155*t[86])/6 - (16501*t[87])/144 - 
       (1573*t[88])/32 + (9265*t[89])/288 - t[91]/6 - (19*t[95])/3 + 
       (152*t[96])/9 + (23*t[97])/2 + (518*t[98])/3 - 240*t[99] + 
       34*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*((13*t[1])/6 + (221*t[2])/12 - 10*t[3] - 
       (401*t[4])/12 - (57*t[5])/2 - (355*t[6])/48 - (49*t[7])/3 + 55*t[8] - 
       (7*t[9])/8 - (101*t[10])/12 - (2941*t[11])/48 - (65*t[12])/6 - 
       (367*t[13])/9 - (615*t[14])/16 - (4465*t[15])/432 + t[17]/6 + 
       (2*t[19])/3 - 6*t[20] + 4*t[21] + 2*t[22] - 4*t[23] - (2*t[24])/3 - 
       3*t[26] + (10*t[27])/3 - t[28] + (5*t[29])/6 - (7*t[30])/3 - 8*t[31] + 
       (22*t[32])/3 + (7*t[33])/3 - 8*t[34] + t[35] - 2*t[36] - (7*t[37])/3 + 
       (10*t[38])/3 - 4*t[39] + (11*t[40])/3 + (5*t[41])/2 - (3*t[42])/2 - 
       (5*t[43])/2 + (5*t[44])/12 + (16*t[45])/3 + (8*t[46])/3 + 
       (535*t[48])/48 + (7*t[49])/6 + (167*t[50])/48 + (13*t[51])/8 + 
       (41*t[52])/48 - (31*t[53])/6 + (283*t[54])/16 - t[55]/3 - 
       (13*t[59])/6 - (501*t[60])/8 - (2203*t[61])/24 - (1693*t[62])/48 - 
       (2651*t[63])/48 + (4997*t[64])/48 + (433*t[65])/24 + (3497*t[66])/72 - 
       t[68]/3 - 4*t[69] + (4*t[70])/3 - (4*t[71])/3 + 14*t[72] + 4*t[73] + 
       6*t[74] - 23*t[75] - (52*t[76])/3 - (11*t[77])/3 + (32*t[78])/3 + 
       6*t[79] - (11*t[80])/3 - (16*t[81])/3 + (26*t[82])/3 + 37*t[83] - 
       (43*t[84])/8 + (5*t[85])/8 + 104*t[86] + (1387*t[87])/24 + 
       (2083*t[88])/48 + t[89]/48 - 2*t[95] - 8*t[96] - (5*t[97])/3 - 
       112*t[98] + 100*t[99] + 34*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*((-17*t[1])/2 + t[2]/2 + 
       (25*t[3])/2 - (15*t[4])/2 + (77*t[5])/4 - (29*t[6])/2 - (31*t[7])/2 - 
       (33*t[8])/2 - (97*t[9])/4 - (35*t[10])/4 - 19*t[11] + 11*t[12] - 
       (55*t[13])/12 - (305*t[14])/24 - (91*t[15])/24 - 4*t[19] + 4*t[20] + 
       4*t[21] - 2*t[22] - 4*t[23] + 6*t[26] + 2*t[27] - 2*t[29] - 2*t[32] + 
       2*t[33] + t[34] + 4*t[37] - 7*t[38] - 2*t[39] + 4*t[40] + t[41]/2 - 
       t[42]/2 - 2*t[45] + 2*t[46] + (3*t[48])/2 - (11*t[49])/4 - 
       (17*t[50])/2 - (13*t[51])/8 + (7*t[52])/2 + (3*t[53])/4 + t[54] + 
       (5*t[59])/2 - 15*t[60] - 40*t[61] + (33*t[62])/2 + (19*t[63])/2 + 
       (5*t[64])/2 + 4*t[65] + 14*t[66] - 4*t[72] + 8*t[76] - 17*t[78] + 
       18*t[80] - t[81] + 5*t[82] - 10*t[84] + 11*t[85] - 4*t[86] - 
       17*t[87] - (17*t[88])/2 - 2*t[89] + t[97] + 48*t[98] - 48*t[99] + 
       36*t[100]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-17*t[1])/2 + t[2]/2 + (25*t[3])/2 - (15*t[4])/2 + (77*t[5])/4 - 
       (29*t[6])/2 - (31*t[7])/2 - (33*t[8])/2 - (97*t[9])/4 - (35*t[10])/4 - 
       19*t[11] + 11*t[12] - (55*t[13])/12 - (305*t[14])/24 - (91*t[15])/24 - 
       4*t[19] + 4*t[20] + 4*t[21] - 2*t[22] - 4*t[23] + 6*t[26] + 2*t[27] - 
       2*t[29] - 2*t[32] + 2*t[33] + t[34] + 4*t[37] - 7*t[38] - 2*t[39] + 
       4*t[40] + t[41]/2 - t[42]/2 - 2*t[45] + 2*t[46] + (3*t[48])/2 - 
       (11*t[49])/4 - (17*t[50])/2 - (13*t[51])/8 + (7*t[52])/2 + 
       (3*t[53])/4 + t[54] + (5*t[59])/2 - 15*t[60] - 40*t[61] + 
       (33*t[62])/2 + (19*t[63])/2 + (5*t[64])/2 + 4*t[65] + 14*t[66] - 
       4*t[72] + 8*t[76] - 17*t[78] + 18*t[80] - t[81] + 5*t[82] - 10*t[84] + 
       11*t[85] - 4*t[86] - 17*t[87] - (17*t[88])/2 - 2*t[89] + t[97] + 
       48*t[98] - 48*t[99] + 36*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((3*t[1])/2 - (9*t[2])/2 + 
       (3*t[3])/2 + 11*t[4] - (17*t[5])/4 - (47*t[6])/4 + (17*t[7])/2 - 
       (25*t[8])/2 + (27*t[9])/4 + (73*t[10])/2 + (29*t[11])/4 - 
       (45*t[12])/4 - (743*t[13])/36 + (99*t[14])/4 - (209*t[15])/24 - 
       4*t[19] - 4*t[20] - 4*t[21] + 4*t[22] + 4*t[23] + 4*t[27] - 2*t[29] + 
       2*t[32] - 2*t[33] - t[34] + 2*t[37] + t[38] + 3*t[39] - 2*t[40] - 
       (3*t[41])/2 + (3*t[42])/2 + 4*t[45] - 4*t[47] - (21*t[48])/4 + 
       7*t[49] - (13*t[50])/4 - (35*t[51])/4 + t[52]/4 - 3*t[53] - 
       (51*t[54])/4 - t[59]/2 - (37*t[60])/2 + (29*t[61])/2 - (59*t[62])/2 + 
       (35*t[63])/2 - (173*t[64])/4 - (85*t[65])/3 - (57*t[66])/2 - 2*t[72] + 
       9*t[76] + 2*t[77] - 19*t[78] - 16*t[80] - 2*t[82] + 2*t[83] - 
       12*t[84] + 4*t[85] - 12*t[86] - 14*t[87] - 6*t[88] - (45*t[89])/4 + 
       6*t[96] + 3*t[97] + 48*t[98] - 48*t[99] + 36*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((3*t[1])/2 - (9*t[2])/2 + (3*t[3])/2 + 11*t[4] - (17*t[5])/4 - 
       (47*t[6])/4 + (17*t[7])/2 - (25*t[8])/2 + (27*t[9])/4 + (73*t[10])/2 + 
       (29*t[11])/4 - (45*t[12])/4 - (743*t[13])/36 + (99*t[14])/4 - 
       (209*t[15])/24 - 4*t[19] - 4*t[20] - 4*t[21] + 4*t[22] + 4*t[23] + 
       4*t[27] - 2*t[29] + 2*t[32] - 2*t[33] - t[34] + 2*t[37] + t[38] + 
       3*t[39] - 2*t[40] - (3*t[41])/2 + (3*t[42])/2 + 4*t[45] - 4*t[47] - 
       (21*t[48])/4 + 7*t[49] - (13*t[50])/4 - (35*t[51])/4 + t[52]/4 - 
       3*t[53] - (51*t[54])/4 - t[59]/2 - (37*t[60])/2 + (29*t[61])/2 - 
       (59*t[62])/2 + (35*t[63])/2 - (173*t[64])/4 - (85*t[65])/3 - 
       (57*t[66])/2 - 2*t[72] + 9*t[76] + 2*t[77] - 19*t[78] - 16*t[80] - 
       2*t[82] + 2*t[83] - 12*t[84] + 4*t[85] - 12*t[86] - 14*t[87] - 
       6*t[88] - (45*t[89])/4 + 6*t[96] + 3*t[97] + 48*t[98] - 48*t[99] + 
       36*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*(-t[1]/18 - (119*t[2])/144 - (23*t[3])/18 + 
       (77*t[4])/288 + (517*t[5])/288 - (83*t[6])/96 + (85*t[7])/72 + 
       (539*t[8])/72 - (2719*t[9])/288 + (12377*t[10])/576 - (59*t[11])/288 - 
       (2477*t[12])/576 - (12907*t[13])/2592 + (44257*t[14])/3456 - 
       (71*t[15])/216 - t[19] - t[20] - t[21] + t[22] + t[23] + 
       (11*t[26])/9 + (4*t[27])/9 - (7*t[28])/12 - (7*t[30])/3 - 
       (19*t[31])/9 - (13*t[34])/36 + (7*t[35])/6 + t[36]/3 - (91*t[37])/36 - 
       (13*t[38])/18 - (7*t[39])/12 + (7*t[40])/36 - (23*t[41])/72 + 
       (23*t[42])/72 - (2*t[43])/3 + (7*t[44])/12 + (29*t[45])/36 + 
       (7*t[46])/8 - (29*t[47])/18 - (7*t[48])/96 - (101*t[49])/576 - 
       (661*t[50])/288 - (3877*t[51])/1152 + (157*t[52])/288 - 
       (959*t[53])/576 - (17*t[54])/12 + (5*t[58])/36 + (35*t[59])/72 - 
       (2447*t[60])/288 + (4643*t[61])/288 - (15289*t[62])/576 - 
       (3119*t[63])/576 - (2135*t[64])/192 + (391*t[65])/96 - 
       (2579*t[66])/864 + (5*t[69])/6 + (4*t[70])/9 - (4*t[71])/9 + 
       (25*t[72])/6 - (7*t[73])/12 + t[74]/4 + (7*t[75])/12 - (13*t[76])/9 + 
       (5*t[77])/18 - (47*t[78])/9 - (7*t[79])/3 + t[80]/6 - (155*t[81])/36 - 
       (4*t[82])/9 + (41*t[83])/18 - (57*t[84])/32 - (1481*t[85])/288 + 
       (5*t[86])/3 + (655*t[87])/288 + (471*t[88])/64 - (295*t[89])/192 - 
       t[95]/6 + (7*t[96])/18 + (17*t[97])/12 - (37*t[98])/3 - 2*t[99] + 
       36*t[100]) + HPL[{0, 1}, 1 - v]*M1[w, u, v]*((5*t[1])/2 + (7*t[2])/4 - 
       t[3] + (127*t[4])/16 - (93*t[5])/16 + (171*t[6])/16 + t[7]/4 + 
       (25*t[8])/4 + (41*t[9])/16 + (127*t[10])/32 + (3*t[11])/16 - 
       (71*t[12])/32 + (719*t[13])/144 - (299*t[14])/64 - (383*t[15])/144 + 
       t[25] - 2*t[26] + t[28] - t[31] + t[34]/2 - 2*t[35] - (5*t[36])/2 + 
       t[37]/2 + t[38] - t[39] - t[40] - t[41]/4 + t[42]/4 - t[44] - 
       t[45]/2 - t[46] + t[47] + (35*t[48])/16 - (195*t[49])/32 + 
       (59*t[50])/16 + (133*t[51])/64 - (19*t[52])/16 + (35*t[53])/32 - 
       4*t[54] + t[58]/2 - t[59] + (219*t[60])/16 - (221*t[61])/16 + 
       (257*t[62])/32 - (817*t[63])/32 - (117*t[64])/32 + (637*t[65])/48 + 
       (109*t[66])/16 - t[70] + t[71] + 2*t[72] + 2*t[73] + (3*t[74])/2 - 
       2*t[75] - (15*t[76])/2 + t[77]/2 + (17*t[78])/2 + 4*t[79] - 5*t[80] - 
       (5*t[81])/4 - (5*t[82])/4 - 2*t[83] + (177*t[84])/16 + (59*t[85])/16 - 
       t[86] + (181*t[87])/16 + (325*t[88])/32 + (405*t[89])/32 - 3*t[95] - 
       4*t[96] - 2*t[97] - 48*t[98] + 42*t[99] + 36*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - v]*((9*t[1])/4 + (9*t[2])/4 - 
       (27*t[3])/2 - (51*t[4])/16 - (105*t[5])/16 + (597*t[6])/32 + 
       (51*t[7])/8 + (309*t[8])/8 + (15*t[9])/8 - (507*t[10])/32 + 
       (339*t[11])/32 + (651*t[12])/32 + (379*t[13])/48 - (587*t[14])/64 + 
       (391*t[15])/32 + (9*t[26])/4 - (9*t[34])/4 - (3*t[38])/8 + 
       (3*t[39])/8 - 3*t[40] + (9*t[41])/8 - (9*t[42])/8 + (3*t[46])/4 + 
       (351*t[48])/32 + (99*t[49])/32 + (15*t[50])/32 + (543*t[51])/64 + 
       (201*t[52])/32 + (69*t[53])/32 + (543*t[54])/32 + (3*t[58])/2 - 
       (81*t[60])/8 - (303*t[61])/8 + (57*t[62])/8 - (597*t[63])/8 + 
       (423*t[64])/8 - (31*t[65])/2 - (57*t[66])/4 + 3*t[69] - (15*t[76])/2 + 
       (3*t[77])/4 + (9*t[78])/4 - (15*t[80])/2 - (9*t[81])/4 - (9*t[82])/4 + 
       (9*t[83])/2 - (51*t[84])/4 - (99*t[85])/4 - 6*t[86] + (3*t[87])/8 + 
       (9*t[88])/16 + (201*t[89])/16 + (9*t[96])/4 - 54*t[98] + 54*t[99] + 
       36*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-103*t[1])/6 + (3*t[2])/2 + (27*t[3])/2 - 
       (205*t[4])/12 - (2*t[5])/3 - (53*t[6])/4 - (20*t[7])/3 - 
       (107*t[8])/3 + (25*t[9])/6 - (455*t[10])/12 - (58*t[11])/3 + 
       (571*t[12])/12 + (11*t[13])/12 - (101*t[14])/2 + 3*t[15] + 
       (38*t[26])/3 + 3*t[34] - (10*t[36])/3 - (44*t[38])/3 - t[39] + 
       2*t[40] - (3*t[41])/2 + (3*t[42])/2 + t[46] - (43*t[48])/4 - 
       (233*t[49])/12 + (21*t[50])/4 + (45*t[51])/4 - (33*t[52])/4 + 
       (221*t[53])/12 + t[54]/3 - t[58] + (19*t[59])/3 - (179*t[60])/6 - 
       (427*t[61])/6 + (781*t[62])/12 + (121*t[63])/12 + 10*t[64] + 
       (2395*t[65])/36 + (1043*t[66])/12 + 10*t[69] + 2*t[72] + 6*t[73] - 
       (8*t[74])/3 + 14*t[75] - t[76] - 2*t[77] + 6*t[78] - 6*t[79] + 
       2*t[80] + (13*t[81])/3 + (5*t[82])/3 - (19*t[83])/3 + (71*t[84])/12 + 
       (191*t[85])/12 + (10*t[86])/3 + (37*t[87])/4 + (83*t[88])/24 + 
       (131*t[89])/12 + (16*t[95])/3 - 6*t[96] - 3*t[97] + 37*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-11*t[1])/9 + (47*t[2])/6 + (155*t[3])/12 + 
       (1241*t[4])/144 - (1033*t[5])/72 + (725*t[6])/48 - (565*t[7])/72 - 
       (2893*t[8])/72 + (403*t[9])/72 - (9667*t[10])/288 + (1529*t[11])/144 + 
       (2369*t[12])/288 + (595*t[13])/144 - (32729*t[14])/576 - 
       (281*t[15])/96 - (16*t[26])/9 + (7*t[27])/3 + 3*t[28] - t[29] + 
       3*t[30] - t[31]/3 - t[32] + t[33] + (25*t[34])/6 - 6*t[35] - 
       (142*t[36])/9 + (13*t[37])/6 + (5*t[38])/18 - t[39] - t[40]/6 - 
       (25*t[41])/12 + (25*t[42])/12 + (3*t[43])/2 - 3*t[44] + (13*t[45])/6 + 
       (57*t[46])/8 - (16*t[47])/3 - (139*t[48])/48 - (9265*t[49])/288 + 
       (383*t[50])/16 + (2081*t[51])/192 - (279*t[52])/16 + 
       (3901*t[53])/288 - (1771*t[54])/72 + (7*t[58])/6 - (149*t[59])/36 + 
       (3605*t[60])/144 - (15071*t[61])/144 + (22139*t[62])/288 - 
       (16231*t[63])/288 + (6419*t[64])/96 + (24751*t[65])/432 + 
       (14083*t[66])/144 + (8*t[69])/3 + (7*t[70])/3 - (7*t[71])/3 + 
       2*t[72] + (47*t[73])/6 + (143*t[74])/18 - (25*t[75])/6 - 
       (73*t[76])/3 - (7*t[77])/6 + (191*t[78])/6 + (29*t[79])/3 - 25*t[80] - 
       (5*t[81])/36 - (67*t[82])/36 + (61*t[83])/18 + (5939*t[84])/144 + 
       (4673*t[85])/144 + (22*t[86])/9 + (1393*t[87])/48 + (7715*t[88])/288 + 
       (11347*t[89])/288 - (89*t[95])/9 - (55*t[96])/3 - (19*t[97])/2 - 
       148*t[98] + 152*t[99] + (227*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-23*t[1])/2 - (2*t[2])/3 + (101*t[3])/24 + t[4]/6 + (71*t[5])/12 + 
       (247*t[6])/24 + (43*t[7])/24 + (403*t[8])/24 + (7*t[9])/3 + 
       (487*t[10])/16 - (147*t[11])/8 + (279*t[12])/16 - (2315*t[13])/144 + 
       (2059*t[14])/144 - (77*t[15])/12 - 2*t[19] + 2*t[20] + 2*t[21] - 
       t[22] - 2*t[23] + (5*t[25])/6 + (32*t[26])/3 + (5*t[27])/3 + 3*t[28] + 
       t[29] - 2*t[30] + t[31]/3 + t[32] - t[33] - (5*t[34])/6 - 2*t[35] - 
       (19*t[36])/6 + (13*t[37])/6 - 11*t[38] + (13*t[39])/3 - (14*t[40])/3 + 
       (11*t[41])/12 - (11*t[42])/12 - 2*t[43] + (13*t[45])/6 + 
       (49*t[46])/12 - (13*t[47])/3 + t[48] - (205*t[49])/48 - (13*t[50])/2 - 
       (43*t[51])/3 + 5*t[52] - (167*t[53])/48 - (5*t[54])/6 + (2*t[58])/3 + 
       4*t[59] - (11*t[60])/8 + (35*t[61])/8 - 12*t[62] - (35*t[63])/4 - 
       (1103*t[64])/48 - (15*t[65])/4 + (1337*t[66])/36 - t[68] + 
       (7*t[70])/3 - (7*t[71])/3 - (38*t[72])/3 + 14*t[73] + (25*t[74])/6 - 
       37*t[75] + t[76]/3 + (19*t[77])/6 - (31*t[78])/6 + 10*t[79] - 
       (2*t[80])/3 - (47*t[81])/6 + (25*t[82])/6 - t[83]/3 - (19*t[84])/12 + 
       (31*t[85])/6 - (37*t[86])/3 - (163*t[87])/12 + (133*t[88])/24 + 
       (107*t[89])/8 - t[90]/2 - 2*t[93] - (19*t[95])/3 - t[96]/3 + 2*t[97] - 
       4*t[98] - 2*t[99] + 38*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Omega2[w, u, v]*((5*t[1])/2 - (3*t[2])/2 + 2*t[3] + (29*t[4])/2 + 
       (79*t[5])/8 - (35*t[6])/8 - (9*t[7])/2 + (9*t[8])/2 - (43*t[9])/8 - 
       (15*t[10])/8 + (113*t[11])/8 - (21*t[12])/4 + (23*t[13])/2 - 
       (73*t[14])/6 - (47*t[15])/48 + 2*t[25] - 5*t[26] - 2*t[30] - 2*t[31] - 
       t[36] + t[37] + 3*t[38] - t[43] - 2*t[44] - t[45] + 2*t[47] - 
       (7*t[48])/8 - (35*t[49])/8 - (15*t[50])/8 + (23*t[51])/8 - t[52]/8 - 
       (9*t[53])/8 - (85*t[54])/8 - (3*t[59])/2 + (47*t[60])/2 - 
       (67*t[61])/4 - (87*t[62])/8 - (353*t[63])/8 + (61*t[64])/8 + 7*t[65] + 
       (41*t[66])/6 + 2*t[70] - 2*t[71] + 2*t[72] + t[74] - 3*t[76] + 
       3*t[77] + 2*t[78] + 4*t[80] - t[81]/2 + (5*t[82])/2 + 8*t[84] - 
       (9*t[85])/4 + 6*t[86] + (27*t[87])/4 + (99*t[88])/8 + 12*t[89] - 
       2*t[95] - 2*t[96] + t[97] - 24*t[98] + 10*t[99] + 38*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((25*t[1])/18 - (41*t[2])/72 + (37*t[3])/18 + (1513*t[4])/288 + 
       (335*t[5])/96 - (3577*t[6])/288 - (27*t[7])/8 - (103*t[8])/6 - 
       (821*t[9])/96 - (7945*t[10])/576 + (131*t[11])/288 - 
       (2287*t[12])/576 + (4715*t[13])/864 - (43793*t[14])/3456 + 
       (653*t[15])/108 - t[19] + t[20] + t[21] - t[22]/2 - t[23] - t[25]/9 + 
       (7*t[26])/18 + (7*t[27])/9 - (3*t[29])/2 - t[30]/12 - (37*t[31])/36 - 
       t[32]/2 + t[33]/2 + (7*t[34])/36 - (2*t[36])/3 + (85*t[37])/36 - 
       (13*t[38])/36 - (16*t[39])/9 + (47*t[40])/36 + (11*t[41])/72 - 
       (11*t[42])/72 + (11*t[43])/6 - (95*t[45])/36 - (59*t[46])/18 + 
       (77*t[47])/18 - (49*t[48])/32 - (653*t[49])/192 - (163*t[50])/96 + 
       (14789*t[51])/1152 - (37*t[52])/96 + (1489*t[53])/192 + (25*t[54])/8 + 
       t[58]/36 + (169*t[59])/72 + (947*t[60])/288 - (3029*t[61])/288 + 
       (3281*t[62])/576 - (19489*t[63])/576 - (5755*t[64])/576 + 
       (12535*t[65])/864 + (12701*t[66])/864 + (3*t[68])/4 + (13*t[70])/18 - 
       (13*t[71])/18 + (121*t[72])/18 - (47*t[73])/6 + (2*t[74])/3 + 
       (125*t[75])/6 - (25*t[76])/9 + (49*t[77])/36 - (49*t[78])/36 - 
       7*t[79] + (119*t[80])/9 - (9*t[81])/4 - (25*t[82])/36 - 
       (41*t[83])/18 - (29*t[84])/288 - (2129*t[85])/288 + (11*t[86])/6 - 
       (2197*t[87])/288 - (29*t[88])/64 + (3541*t[89])/576 + t[90]/4 + 
       t[93] - t[95]/6 + t[96]/9 + (3*t[97])/4 - (59*t[98])/3 + 16*t[99] + 
       (77*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-5*t[1])/3 + (13*t[2])/2 - (3*t[3])/2 + 
       (445*t[4])/24 - (241*t[5])/24 + 14*t[6] + (7*t[7])/12 + 
       (115*t[8])/12 + (181*t[9])/24 - t[10]/24 + (13*t[11])/24 - 
       (125*t[12])/12 - (43*t[13])/12 + (67*t[14])/6 - (355*t[15])/48 + 
       (13*t[26])/6 + t[34] - t[36]/3 - (13*t[38])/6 - t[39] - 2*t[40] - 
       t[41]/2 + t[42]/2 - t[46]/2 + (9*t[48])/2 - (157*t[49])/24 + 
       (25*t[50])/2 - (45*t[51])/8 - (11*t[52])/2 - (47*t[53])/24 - 
       (259*t[54])/24 + t[58] - (11*t[59])/12 + (139*t[60])/6 - 
       (59*t[61])/3 + (181*t[62])/12 - (11*t[63])/3 - (443*t[64])/8 + 
       (467*t[65])/72 + (359*t[66])/24 - 2*t[72] - 3*t[73] + (10*t[74])/3 - 
       7*t[75] - 15*t[76] - 2*t[77] + 14*t[78] + 3*t[79] - 10*t[80] - 
       (2*t[81])/3 + (8*t[82])/3 + (14*t[83])/3 + (619*t[84])/24 + 
       (367*t[85])/24 - (11*t[86])/3 - (7*t[87])/8 + (103*t[88])/48 + 
       (41*t[89])/3 - (20*t[95])/3 - 6*t[96] - 5*t[97] - 96*t[98] + 
       96*t[99] + 40*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*((-73*t[1])/6 + (11*t[2])/6 - 
       (13*t[3])/6 - (265*t[4])/24 - (131*t[5])/8 + (247*t[6])/24 - 
       (35*t[7])/2 - (27*t[8])/2 - (21*t[9])/8 + (181*t[10])/48 - 
       (1103*t[11])/24 + (499*t[12])/48 - (751*t[13])/72 - (1525*t[14])/288 + 
       (149*t[15])/18 + (10*t[25])/3 + (19*t[26])/3 - (4*t[27])/3 - 2*t[29] - 
       2*t[30] + (10*t[31])/3 - 2*t[32] + 2*t[33] + (8*t[34])/3 + 4*t[35] - 
       5*t[36] - (19*t[37])/3 - (32*t[38])/3 - (5*t[39])/3 + (7*t[40])/3 - 
       (4*t[41])/3 + (4*t[42])/3 - t[43] + 4*t[44] + (5*t[45])/3 + 
       (4*t[46])/3 - (16*t[47])/3 - (35*t[48])/8 - (207*t[49])/16 + 
       (37*t[50])/8 - (59*t[51])/96 - (37*t[52])/8 - (17*t[53])/16 - 
       (3*t[54])/2 + (2*t[58])/3 + (10*t[59])/3 + (13*t[60])/24 - 
       (109*t[61])/24 + (1729*t[62])/48 + (7*t[63])/48 - (1925*t[64])/48 + 
       (6557*t[65])/72 + (7135*t[66])/72 + (10*t[70])/3 - (10*t[71])/3 - 
       (2*t[72])/3 + 4*t[73] + 3*t[74] - (53*t[76])/3 - t[77]/3 + 
       (100*t[78])/3 - 8*t[79] - (56*t[80])/3 - (7*t[81])/2 - (49*t[82])/6 + 
       (16*t[83])/3 + (449*t[84])/24 + (383*t[85])/24 - 2*t[86] + 
       (673*t[87])/24 + (491*t[88])/16 + (1799*t[89])/48 - 6*t[95] - 
       (46*t[96])/3 - 4*t[97] - 88*t[98] + 84*t[99] + 42*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-37*t[1])/6 + (10*t[2])/3 - (91*t[3])/24 + (463*t[4])/24 - 
       (925*t[5])/48 + (17*t[6])/12 - (5*t[7])/24 - (35*t[8])/24 + 
       (433*t[9])/48 - (365*t[10])/16 - (49*t[11])/24 + 8*t[12] + 
       (1637*t[13])/72 + (43*t[14])/18 + (179*t[15])/288 + (29*t[25])/6 - 
       t[26]/6 - t[27]/3 - 2*t[29] - 2*t[30] - (2*t[31])/3 - 2*t[32] + 
       2*t[33] + (8*t[34])/3 + 3*t[35] - (5*t[36])/2 + (7*t[37])/6 - 
       (71*t[38])/12 - (47*t[39])/12 + (4*t[40])/3 - (4*t[41])/3 + 
       (4*t[42])/3 - t[43] + t[44]/2 - (7*t[45])/3 - (25*t[46])/6 + 
       (8*t[47])/3 - (667*t[49])/48 + 2*t[50] + (461*t[51])/48 - 3*t[52] + 
       (19*t[53])/48 + 6*t[54] + t[58]/6 + (7*t[59])/6 + (1573*t[60])/48 - 
       (393*t[61])/16 - (475*t[62])/32 - (10055*t[63])/96 - (1571*t[64])/96 - 
       (2215*t[65])/144 - (2993*t[66])/48 - t[69] - t[72]/6 - (5*t[73])/2 + 
       (26*t[74])/3 + 14*t[75] - (85*t[76])/6 - (5*t[77])/6 + (175*t[78])/6 - 
       (25*t[79])/2 - (7*t[81])/4 - (59*t[82])/12 + (19*t[83])/6 + 
       (197*t[84])/48 + (53*t[85])/16 + (157*t[86])/6 + (673*t[87])/48 + 
       (1153*t[88])/96 + (119*t[89])/96 - (28*t[95])/3 - (31*t[96])/3 - 
       (29*t[97])/6 - 90*t[98] + 89*t[99] + 42*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((73*t[1])/24 + (53*t[2])/24 + (49*t[3])/12 + (51*t[4])/4 + 
       (55*t[5])/8 + (113*t[6])/8 + (175*t[7])/24 + (125*t[8])/8 - 
       (35*t[9])/3 + (463*t[10])/24 - (23*t[11])/4 - 2*t[12] - 
       (5261*t[13])/432 - (19*t[14])/16 + (109*t[15])/72 - (4*t[25])/3 + 
       (11*t[26])/12 - t[27]/6 + t[28] + 2*t[29] + t[30] + t[31]/6 + 
       2*t[32] - 2*t[33] - (13*t[34])/12 - 5*t[35] - (5*t[37])/6 + 
       (5*t[38])/3 - t[39] - (8*t[40])/3 + (13*t[41])/24 - (13*t[42])/24 + 
       t[43]/2 - 2*t[44] + t[45]/6 - (15*t[46])/4 + (5*t[47])/3 + 
       (7*t[48])/4 + (5*t[49])/8 + (31*t[50])/6 - (65*t[51])/24 - 
       (29*t[52])/12 - (89*t[53])/24 - (293*t[54])/24 + (17*t[58])/12 - 
       (17*t[59])/24 + (73*t[60])/6 + (31*t[61])/8 + (367*t[62])/24 - 
       (305*t[63])/24 - (3007*t[64])/48 + (55*t[65])/6 + (671*t[66])/9 - 
       t[69] + (7*t[70])/3 - (7*t[71])/3 - (5*t[72])/2 - (3*t[73])/2 + 
       (5*t[74])/2 - t[75]/2 - (169*t[76])/12 - t[77]/6 + (133*t[78])/12 + 
       (29*t[79])/4 - t[80] - (203*t[81])/12 + (55*t[82])/6 - (89*t[83])/6 + 
       (13*t[84])/3 - (157*t[85])/24 - (25*t[86])/12 + (43*t[87])/6 + 
       (61*t[88])/4 + (51*t[89])/8 - 6*t[95] - (10*t[96])/3 + t[97]/4 - 
       90*t[98] + 89*t[99] + 42*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*((107*t[1])/16 + (41*t[2])/48 + 
       (19*t[3])/24 + (917*t[4])/96 + (83*t[5])/16 + (695*t[6])/96 + 
       (9*t[7])/4 + (29*t[8])/2 - (239*t[9])/16 + (317*t[10])/24 + 
       (67*t[11])/16 - (113*t[12])/8 - (115*t[13])/48 - (2021*t[14])/576 - 
       (185*t[15])/144 + t[19] - t[20] - t[21] + t[23] - (5*t[25])/6 - 
       (47*t[26])/12 + t[27]/3 - (5*t[28])/4 + t[29]/4 - (13*t[31])/12 + 
       t[32]/4 - t[33]/4 - (19*t[34])/24 + (7*t[36])/6 - (41*t[37])/12 + 
       (45*t[38])/8 - (7*t[39])/3 + t[40]/6 + (19*t[41])/48 - (19*t[42])/48 - 
       t[44]/2 - (17*t[45])/12 - 2*t[46] + (37*t[47])/12 + (55*t[48])/32 + 
       2*t[49] + (139*t[50])/32 - (455*t[51])/192 - (55*t[52])/32 - 
       (143*t[53])/24 - (679*t[54])/48 + (11*t[58])/24 - (19*t[59])/8 + 
       (17*t[60])/3 - (191*t[61])/24 - (913*t[62])/96 - (1801*t[63])/96 - 
       (121*t[64])/32 + (1315*t[65])/96 + (13655*t[66])/288 - (5*t[69])/12 + 
       (5*t[70])/3 - (5*t[71])/3 - (7*t[72])/12 - (7*t[73])/6 + (3*t[74])/4 - 
       (9*t[75])/4 - (197*t[76])/24 - (7*t[77])/6 + (125*t[78])/12 + 
       (25*t[79])/6 - (17*t[80])/6 - (65*t[81])/8 + (109*t[82])/24 - 
       (23*t[83])/24 + (273*t[84])/32 - (3*t[85])/32 + 17*t[86] + 
       (2975*t[87])/96 + (1249*t[88])/64 + (253*t[89])/24 - (7*t[95])/2 - 
       (5*t[96])/3 - t[97]/8 - 44*t[98] + 38*t[99] + (341*t[100])/8) + 
     HPL[{1}, 1 - v]^2*Qep[w, v, u]*((-32*t[1])/9 + (32*t[3])/9 - 
       (832*t[4])/9 + (88*t[5])/9 - (4*t[6])/3 - 4*t[7] - (100*t[8])/9 - 
       (40*t[9])/3 - 4*t[10] - (476*t[11])/9 + (632*t[12])/9 - 
       (1024*t[13])/27 - (1574*t[14])/27 + (668*t[15])/27 - (64*t[25])/9 + 
       (32*t[26])/3 + 16*t[37] - (32*t[38])/9 - (88*t[46])/3 - (4*t[48])/3 + 
       (104*t[49])/9 + (52*t[50])/9 + (442*t[51])/9 - (52*t[52])/9 + 
       (328*t[53])/9 + (116*t[54])/9 + (56*t[59])/3 - 104*t[60] - 
       (544*t[61])/9 + 84*t[62] + (364*t[63])/9 + (920*t[64])/9 + 
       (280*t[65])/3 + (1832*t[66])/9 + (64*t[69])/3 - (32*t[70])/3 + 
       (32*t[71])/3 + (32*t[73])/3 - 16*t[74] + 32*t[75] - 16*t[79] - 
       (16*t[81])/3 + (16*t[82])/3 - (368*t[83])/9 - (200*t[84])/9 - 
       (208*t[85])/9 - (16*t[86])/9 + (104*t[87])/3 + (52*t[88])/3 - 
       (44*t[89])/3 + (128*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - w]*((-31*t[1])/3 + (7*t[3])/12 - (37*t[4])/6 + 
       (43*t[5])/24 - (7*t[6])/8 - (7*t[7])/4 - (35*t[8])/12 - (19*t[9])/8 - 
       (25*t[10])/8 - (401*t[11])/24 + (133*t[12])/3 - (445*t[13])/72 - 
       (3841*t[14])/144 + (949*t[15])/144 - (2*t[25])/3 + 11*t[26] - 
       4*t[36] + 2*t[37] - (31*t[38])/3 - 8*t[46] - (7*t[48])/8 + 
       (29*t[49])/24 + (7*t[50])/24 + (557*t[51])/48 - (7*t[52])/24 + 
       (103*t[53])/24 + (53*t[54])/24 + (17*t[59])/2 - (55*t[60])/2 - 
       (217*t[61])/6 + (147*t[62])/4 - (85*t[63])/12 + (19*t[64])/12 + 
       (491*t[65])/12 + (259*t[66])/4 + 18*t[69] - 5*t[70] + 5*t[71] + 
       8*t[73] - 4*t[74] + 12*t[75] - 8*t[79] - (41*t[83])/6 - 
       (37*t[84])/12 - (23*t[85])/12 - (14*t[86])/3 + (47*t[87])/4 + 
       (27*t[88])/8 + (51*t[89])/4 + 4*t[95] + 43*t[100]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*((-29*t[1])/12 + 
       (137*t[2])/24 + (8*t[3])/3 - (1311*t[4])/32 - (235*t[5])/24 + 
       (449*t[6])/48 - (49*t[7])/12 + (7*t[8])/6 + (35*t[9])/24 - 
       (1417*t[10])/192 - 49*t[11] + (1075*t[12])/192 - (9545*t[13])/288 - 
       (18749*t[14])/1152 + (3761*t[15])/1728 - (13*t[25])/3 + (23*t[26])/3 + 
       (2*t[27])/3 - (7*t[28])/6 + (5*t[30])/6 + (13*t[31])/6 + (2*t[34])/3 + 
       (7*t[35])/3 + (2*t[36])/3 - (31*t[37])/6 - (10*t[38])/3 - 
       (2*t[39])/3 - (5*t[40])/3 - t[41]/3 + t[42]/3 + (5*t[43])/12 + 
       (5*t[44])/6 + t[45]/2 + (5*t[46])/2 - t[47] + (113*t[48])/48 - 
       (811*t[49])/192 + (521*t[50])/48 - (1175*t[51])/384 - (51*t[52])/16 + 
       (1579*t[53])/192 + (1157*t[54])/96 + (2*t[58])/3 + t[59]/6 - 
       (2137*t[60])/32 - (4835*t[61])/96 + (3941*t[62])/64 + 
       (9385*t[63])/192 + (547*t[64])/64 + (1241*t[65])/32 + 
       (2939*t[66])/32 + 2*t[69] - t[70]/3 + t[71]/3 - (7*t[72])/3 + 
       (5*t[73])/3 - (11*t[74])/6 - (5*t[75])/3 - (15*t[76])/2 - 
       (17*t[77])/6 + (25*t[78])/3 - (38*t[80])/3 - (77*t[81])/12 + 
       (73*t[82])/12 - (3*t[83])/2 - (311*t[84])/96 + (557*t[85])/96 - 
       (13*t[86])/3 + (3187*t[87])/96 + (369*t[88])/64 + (1219*t[89])/192 - 
       t[95]/3 - (5*t[96])/3 - (29*t[97])/6 - 34*t[98] + 40*t[99] + 
       43*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((-421*t[1])/72 + (37*t[2])/24 + (47*t[3])/48 + 
       (4357*t[4])/288 - (595*t[5])/72 + (139*t[6])/24 - (193*t[7])/72 - 
       (383*t[8])/36 + (899*t[9])/144 - (2555*t[10])/144 - (671*t[11])/288 + 
       (1933*t[12])/144 + (22277*t[13])/864 - (4057*t[14])/144 + 
       (323*t[15])/288 + t[19] + t[20] + t[21] - t[22] - t[23] + 
       (10*t[25])/3 + (127*t[26])/72 - t[27]/3 + (7*t[28])/4 - t[29]/4 - 
       t[30]/2 + (13*t[31])/12 - t[32]/4 + t[33]/4 + (4*t[34])/3 - t[35] - 
       (145*t[36])/36 + (25*t[37])/12 - (215*t[38])/36 - (3*t[39])/8 - 
       (19*t[40])/12 - t[41]/6 + t[42]/6 - t[43]/4 - t[44]/2 - 
       (11*t[45])/12 - (29*t[46])/16 + (19*t[47])/12 - (4*t[48])/3 - 
       (1823*t[49])/144 + (25*t[50])/8 + (413*t[51])/48 - (21*t[52])/8 + 
       (325*t[53])/72 - (1093*t[54])/288 + t[58]/12 + (385*t[59])/144 + 
       (5969*t[60])/144 - (3703*t[61])/72 + (7841*t[62])/288 - 
       (17797*t[63])/288 + (2785*t[64])/96 + (19091*t[65])/864 + 
       (443*t[66])/32 - t[69]/3 + t[70]/6 - t[71]/6 - t[72] - (11*t[73])/12 + 
       (115*t[74])/36 + (13*t[75])/3 - (101*t[76])/12 + (11*t[77])/12 + 
       (251*t[78])/12 - (31*t[79])/12 - (15*t[80])/4 + (13*t[81])/9 - 
       (115*t[82])/36 - (109*t[83])/9 + (5437*t[84])/288 + (3613*t[85])/288 - 
       (89*t[86])/36 + (113*t[87])/32 + (2965*t[88])/576 + 
       (10771*t[89])/288 - (61*t[95])/18 - (77*t[96])/12 - (9*t[97])/4 - 
       44*t[98] + 38*t[99] + (1043*t[100])/24) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-16*t[1])/3 + (83*t[2])/6 + (545*t[3])/24 - (51*t[4])/2 + 
       (821*t[5])/16 + (311*t[6])/12 - (467*t[7])/12 + (331*t[8])/12 - 
       (1753*t[9])/48 + (617*t[10])/24 - (1117*t[11])/12 - (667*t[12])/16 - 
       (28975*t[13])/432 - (2239*t[14])/72 + (1021*t[15])/96 + t[17]/6 - 
       4*t[18] - (2*t[19])/3 - 2*t[20] + (2*t[21])/3 + (2*t[22])/3 - 
       (2*t[23])/3 - (5*t[25])/3 + 5*t[26] - (7*t[27])/3 + 14*t[28] + 
       2*t[29] - 8*t[30] - t[31] - (4*t[32])/3 + 2*t[33] - 11*t[34] - 
       12*t[35] + (14*t[36])/3 + 3*t[37] - (8*t[38])/3 + 8*t[39] - 
       (8*t[40])/3 - t[41]/3 - (2*t[42])/3 + (199*t[43])/24 - 5*t[44] + 
       (41*t[45])/4 - (7*t[46])/2 - (119*t[47])/6 + (215*t[48])/8 + 
       (197*t[49])/24 - (307*t[50])/24 - (29*t[51])/16 + (153*t[52])/8 - 
       (157*t[53])/24 + (209*t[54])/24 - t[58]/3 + (4*t[59])/3 - 
       (271*t[60])/4 - (671*t[61])/12 + (1123*t[62])/24 - (117*t[63])/8 + 
       (293*t[64])/24 - (280*t[65])/9 + 131*t[66] + t[68]/3 + 4*t[70] - 
       4*t[71] + (10*t[74])/3 - 17*t[76] + (5*t[77])/3 + (32*t[78])/3 - 
       33*t[80] - (26*t[81])/3 - 7*t[82] + (2*t[83])/3 - (109*t[84])/12 - 
       (251*t[85])/12 - t[86]/3 + (647*t[87])/12 + (631*t[88])/24 - 
       (169*t[89])/24 - t[90]/3 + t[92]/3 + t[94]/3 + (4*t[95])/3 - 
       (5*t[97])/3 - 112*t[98] + 100*t[99] + 44*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-223*t[4])/4 - (9*t[5])/8 - (21*t[6])/8 - 3*t[7] - 3*t[8] + 
       (9*t[9])/8 - 19*t[10] - (217*t[11])/8 + (317*t[12])/8 + (5*t[13])/4 - 
       (1969*t[14])/48 + (623*t[15])/48 + t[36] + (5*t[46])/2 - 
       (21*t[48])/8 - (43*t[49])/4 - (21*t[50])/8 + (271*t[51])/16 + 
       (21*t[52])/8 + (75*t[53])/4 + (207*t[54])/8 - (267*t[60])/4 - 
       63*t[61] + (123*t[62])/2 - 3*t[63] + 95*t[64] + (715*t[65])/12 + 
       (581*t[66])/12 + t[69] + 6*t[73] - 7*t[74] + 26*t[75] - 6*t[79] + 
       (7*t[81])/2 - (7*t[82])/2 - (67*t[83])/2 - (93*t[84])/4 - 18*t[85] - 
       12*t[86] + (83*t[87])/2 + (61*t[88])/4 + (77*t[89])/8 + 14*t[95] + 
       45*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
      ((443*t[1])/144 + (9*t[2])/8 - (65*t[3])/144 + (1217*t[4])/288 + 
       (163*t[5])/288 - (13*t[6])/96 + (127*t[7])/96 + (677*t[8])/288 - 
       (329*t[9])/96 - (1231*t[10])/192 + (5323*t[11])/288 + (55*t[12])/576 + 
       (4421*t[13])/216 - (52505*t[14])/3456 + (307*t[15])/432 - t[19]/2 - 
       t[20]/2 - t[21]/2 + t[22]/2 + t[23]/2 + (5*t[25])/18 - (29*t[26])/12 + 
       t[27]/2 - t[29]/4 - t[30]/4 - t[31]/2 - t[32]/4 + t[33]/4 - t[34]/8 - 
       (9*t[36])/4 - (3*t[37])/8 + (181*t[38])/72 - t[39] - (7*t[40])/8 - 
       (3*t[41])/16 + (3*t[42])/16 + t[43]/8 + t[44]/2 - t[45]/4 + 
       (409*t[46])/48 + t[47]/2 + (113*t[48])/96 - (8489*t[49])/576 + 
       (907*t[50])/288 - (1859*t[51])/1152 - (367*t[52])/288 + 
       (4817*t[53])/576 - (47*t[54])/9 + t[58]/2 - (139*t[59])/48 + 
       (1919*t[60])/96 - (13585*t[61])/288 + (2077*t[62])/192 - 
       (38455*t[63])/576 + (22219*t[64])/576 + (505*t[65])/288 - 
       (401*t[66])/32 - (23*t[69])/6 + (23*t[70])/12 - (23*t[71])/12 + 
       t[72]/2 + t[73]/12 + (31*t[74])/8 + (9*t[75])/4 - (17*t[76])/4 + 
       t[77]/4 + (13*t[78])/4 + (13*t[79])/8 - (5*t[80])/2 - (41*t[81])/12 + 
       (11*t[82])/12 + (13*t[83])/72 + (1807*t[84])/288 + (1079*t[85])/288 + 
       (305*t[86])/72 + (295*t[87])/32 + (519*t[88])/64 + (4373*t[89])/192 - 
       (5*t[95])/2 - t[96] - (3*t[97])/4 - 27*t[98] + 24*t[99] + 
       (136*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*(t[1]/6 + (77*t[2])/12 - (5*t[3])/3 - 
       (421*t[4])/48 - (827*t[5])/48 + (231*t[6])/16 + t[7]/3 - (13*t[8])/3 + 
       (647*t[9])/48 - (1729*t[10])/96 - (491*t[11])/48 + (301*t[12])/96 + 
       (659*t[13])/432 - (11141*t[14])/576 + t[15]/18 + t[25] - (5*t[26])/3 + 
       (2*t[27])/3 + 2*t[28] - t[29] + 2*t[30] + (4*t[31])/3 - t[32] + 
       t[33] + (11*t[34])/6 - 2*t[35] - (11*t[36])/2 + (5*t[37])/6 + 
       t[38]/6 - t[39] - (7*t[40])/3 - (11*t[41])/12 + (11*t[42])/12 + 
       t[43] - t[44] - t[45]/6 + (5*t[46])/2 - (2*t[47])/3 + (47*t[48])/16 - 
       (1523*t[49])/96 + (533*t[50])/48 + (1361*t[51])/192 - (221*t[52])/48 + 
       (979*t[53])/96 + (23*t[54])/8 + (5*t[58])/6 - (7*t[59])/3 - 
       (101*t[60])/48 - (2977*t[61])/48 + (3629*t[62])/96 - (3821*t[63])/96 + 
       (1549*t[64])/32 + (995*t[65])/48 + (2959*t[66])/144 - t[70]/3 + 
       t[71]/3 - 3*t[72] + 2*t[73] + (7*t[74])/2 + t[75] - (41*t[76])/3 + 
       t[77]/6 + (109*t[78])/6 - 11*t[80] - (7*t[81])/12 - (59*t[82])/12 - 
       t[83]/3 + (267*t[84])/16 + (595*t[85])/48 + 7*t[86] + (997*t[87])/48 + 
       (295*t[88])/32 + (775*t[89])/32 - 3*t[95] - (20*t[96])/3 - 6*t[97] - 
       80*t[98] + 82*t[99] + (95*t[100])/2) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*((-13*t[1])/12 + (17*t[2])/3 + 
       (19*t[3])/6 - (673*t[4])/48 - (69*t[5])/16 + (991*t[6])/48 + t[7]/4 + 
       (73*t[8])/4 - (15*t[9])/16 - (35*t[10])/96 - (1367*t[11])/48 + 
       (55*t[12])/96 - (3053*t[13])/144 - (3181*t[14])/576 - 
       (457*t[15])/144 - (4*t[25])/3 + (25*t[26])/6 - (2*t[27])/3 - 2*t[28] + 
       t[29] + (2*t[31])/3 + t[32] - t[33] + t[34]/3 + 2*t[35] - t[36]/2 - 
       (31*t[37])/6 - (7*t[38])/3 + (2*t[39])/3 - (7*t[40])/3 - t[41]/6 + 
       t[42]/6 + t[44] + (5*t[45])/6 - (5*t[46])/6 - (2*t[47])/3 + 
       (97*t[48])/16 - (103*t[49])/32 + (177*t[50])/16 - (683*t[51])/192 - 
       (49*t[52])/16 + (7*t[53])/32 - 2*t[54] + (4*t[58])/3 - (7*t[59])/12 - 
       (1259*t[60])/48 - (1333*t[61])/48 + (2989*t[62])/96 + 
       (1867*t[63])/96 + (1507*t[64])/96 + (4697*t[65])/144 + 
       (10975*t[66])/144 + 2*t[69] + (2*t[70])/3 - (2*t[71])/3 - 
       (13*t[72])/3 + 2*t[73] - (3*t[74])/2 - 3*t[75] - (43*t[76])/3 - 
       (13*t[77])/6 + (91*t[78])/6 + 4*t[79] - (43*t[80])/3 - (31*t[81])/4 + 
       (71*t[82])/12 - (29*t[83])/6 + (485*t[84])/48 + (275*t[85])/48 + 
       3*t[86] + (1717*t[87])/48 + (535*t[88])/32 + (1175*t[89])/96 - 
       3*t[95] - (14*t[96])/3 - (9*t[97])/2 - 80*t[98] + 82*t[99] + 
       (95*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-3*t[1])/2 + (13*t[2])/2 - (3*t[3])/2 + 
       (33*t[4])/4 - (41*t[5])/4 + (27*t[6])/2 + 9*t[8] + (31*t[9])/4 - 
       (13*t[10])/4 - (19*t[11])/4 - (7*t[12])/2 - (131*t[13])/36 + 
       (97*t[14])/24 - (121*t[15])/24 + 2*t[26] + t[34] - 2*t[38] - t[39] - 
       2*t[40] - t[41]/2 + t[42]/2 + 4*t[48] - (33*t[49])/4 + 12*t[50] - 
       (21*t[51])/8 - 5*t[52] + (5*t[53])/4 - (23*t[54])/4 + t[58] - t[59] + 
       11*t[60] - (63*t[61])/2 + (105*t[62])/4 - (15*t[63])/4 - 38*t[64] + 
       (67*t[65])/4 + (283*t[66])/12 - 2*t[72] - 2*t[73] + 2*t[74] - 
       2*t[75] - 15*t[76] - 2*t[77] + 14*t[78] + 2*t[79] - 10*t[80] + 
       2*t[82] - 2*t[83] + (85*t[84])/4 + (47*t[85])/4 - 6*t[86] + 
       (27*t[87])/4 + (39*t[88])/8 + 15*t[89] - 4*t[95] - 6*t[96] - 5*t[97] - 
       96*t[98] + 96*t[99] + 48*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((95*t[1])/6 + (47*t[2])/6 - (137*t[3])/6 - 
       (335*t[4])/12 - (451*t[5])/12 + 65*t[6] + (14*t[7])/3 + (253*t[8])/3 + 
       (13*t[9])/12 + (901*t[10])/24 + (109*t[11])/6 + (431*t[12])/24 - 
       (278*t[13])/27 + (4649*t[14])/144 + (53*t[15])/12 - (19*t[26])/3 + 
       (4*t[27])/3 + 4*t[28] - (22*t[31])/3 - t[34]/3 - 8*t[35] - 6*t[36] - 
       (34*t[37])/3 + (25*t[38])/3 - t[39] - (26*t[40])/3 + t[41]/6 - 
       t[42]/6 - 10*t[44] - (10*t[45])/3 + (20*t[47])/3 + (33*t[48])/2 - 
       (913*t[49])/24 + (89*t[50])/6 + (823*t[51])/48 + t[52]/6 + 
       (545*t[53])/24 + (85*t[54])/4 + (11*t[58])/3 - (19*t[59])/6 - 
       (751*t[60])/12 + (793*t[61])/12 - (899*t[62])/24 - (1549*t[63])/24 + 
       (875*t[64])/8 + (125*t[65])/4 - (1027*t[66])/36 + 10*t[69] - 
       (14*t[70])/3 + (14*t[71])/3 + 16*t[72] + 8*t[73] + 2*t[74] - 8*t[75] - 
       (133*t[76])/3 + (16*t[77])/3 + (97*t[78])/3 + 16*t[79] - 12*t[80] - 
       (35*t[81])/3 - (40*t[82])/3 + (16*t[83])/3 + (39*t[84])/4 - 
       (589*t[85])/12 + 20*t[86] + (1373*t[87])/12 + (655*t[88])/8 - 
       (7*t[89])/8 - 4*t[95] - (40*t[96])/3 - 7*t[97] - 304*t[98] + 
       288*t[99] + 48*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-37*t[1])/12 - (19*t[2])/6 + (37*t[3])/24 - 
       (305*t[4])/12 + (165*t[5])/16 - (77*t[6])/48 + (299*t[7])/48 - 
       (431*t[8])/48 - (197*t[9])/24 - (181*t[10])/48 - (163*t[11])/12 + 
       (143*t[12])/48 - (245*t[13])/96 - (599*t[14])/72 - (49*t[15])/72 + 
       t[17]/3 - (2*t[19])/3 + t[21] - t[23] - t[24]/3 + t[25]/3 + 2*t[31] + 
       t[37] - t[38]/3 + (17*t[41])/12 - (17*t[42])/12 + (77*t[43])/48 + 
       (85*t[45])/24 + t[46] - (9*t[47])/4 + t[48]/3 - (137*t[49])/24 - 
       (5*t[50])/2 + (11*t[51])/16 + (5*t[52])/2 + (137*t[53])/24 + 
       (23*t[54])/4 - t[59]/2 - (523*t[60])/24 - (173*t[61])/8 - 
       (365*t[62])/48 + (15*t[63])/16 + (1353*t[64])/16 + (205*t[65])/36 + 
       (151*t[66])/9 - (13*t[67])/12 - 2*t[69] - (2*t[71])/3 - (11*t[74])/2 + 
       2*t[75] + 2*t[79] - (16*t[80])/3 - (13*t[81])/12 + (61*t[82])/12 - 
       (41*t[83])/6 - (37*t[84])/6 + (53*t[85])/24 - (2*t[86])/3 + 
       (227*t[87])/24 + (227*t[88])/48 + (517*t[89])/48 + (5*t[94])/6 - 
       8*t[99] + 50*t[100]) + HPL[{0, 1, 1}, 1 - v]*Omega2[u, v, w]*
      (-2*t[1] - (11*t[3])/4 + (5*t[4])/2 - (61*t[5])/8 - (29*t[6])/8 - 
       (33*t[7])/4 - (75*t[8])/4 + (15*t[9])/8 + (69*t[10])/4 - 
       (75*t[11])/8 - (27*t[12])/8 + (17*t[13])/8 - t[14]/3 - (49*t[15])/48 - 
       t[25] + 2*t[26] + t[27] + 2*t[36] - t[38] + 3*t[46] - (45*t[48])/8 - 
       8*t[49] + (39*t[50])/8 - (5*t[51])/2 - (39*t[52])/8 + (13*t[53])/2 - 
       (55*t[54])/8 + t[59] - (51*t[60])/4 - (13*t[61])/4 + (115*t[62])/8 + 
       (57*t[63])/8 - (449*t[64])/8 + (83*t[65])/12 + (7*t[66])/4 + 2*t[69] - 
       2*t[72] - 2*t[75] + 3*t[76] - 4*t[79] + 2*t[80] + t[81] - 3*t[82] + 
       15*t[83] - (13*t[84])/4 + (11*t[85])/4 - 16*t[86] + (89*t[87])/4 + 
       (89*t[88])/8 + (27*t[89])/8 + 51*t[100]) + HPL[{0, 1, 1}, 1 - u]*
      Omega2[u, v, w]*(4*t[3] - 14*t[4] + 15*t[5] + (3*t[6])/4 - (9*t[7])/2 + 
       (11*t[8])/2 - 11*t[9] + 6*t[10] - (31*t[11])/4 + (5*t[12])/2 - 
       (5*t[13])/2 + (37*t[14])/24 - (13*t[15])/12 - 2*t[25] + 2*t[26] + 
       2*t[27] - 2*t[29] - 2*t[36] + t[46] + t[48]/4 - (17*t[49])/2 - 
       (7*t[50])/4 - (9*t[51])/8 + (7*t[52])/4 + 7*t[53] + (17*t[54])/4 - 
       (25*t[60])/2 - 19*t[61] + (91*t[62])/4 + (49*t[63])/4 + 
       (143*t[64])/4 + (44*t[65])/3 + 29*t[66] + t[69] - t[72] + 2*t[75] + 
       3*t[76] + 4*t[79] - 2*t[80] - t[81] + 7*t[82] - (19*t[83])/2 - 
       t[84]/2 + 3*t[85] - 22*t[86] + (41*t[87])/2 + (41*t[88])/4 + 
       (39*t[89])/4 + 51*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*(t[1]/4 - t[2]/4 + 
       (25*t[3])/4 + (21*t[4])/2 + (67*t[5])/8 + (3*t[6])/2 - (47*t[7])/4 - 
       (37*t[8])/4 - (179*t[9])/8 - (5*t[10])/2 - (9*t[11])/4 - 
       (59*t[12])/8 + (689*t[13])/24 - (695*t[14])/24 + (31*t[15])/16 + 
       2*t[19] + 2*t[20] + 2*t[21] - 2*t[22] - 2*t[23] - 2*t[26] - 2*t[27] + 
       t[29] - 5*t[30] - 4*t[31] - 2*t[32] + 2*t[33] + (3*t[34])/2 - 
       2*t[36] - 5*t[37] + t[38] - 5*t[39] + 4*t[40] + t[41]/4 - t[42]/4 - 
       t[43]/2 + t[44] - 2*t[45] + t[47] - (7*t[48])/2 - (45*t[49])/4 - 
       (3*t[50])/2 + (29*t[51])/4 - 2*t[52] - (15*t[53])/4 - (9*t[54])/2 + 
       (33*t[59])/8 + (849*t[60])/16 - (721*t[61])/16 + (749*t[62])/32 - 
       (2765*t[63])/32 + (3091*t[64])/32 - (343*t[65])/16 + (815*t[66])/48 - 
       4*t[69] + 2*t[70] - 2*t[71] + 9*t[72] - 4*t[73] - (19*t[74])/2 - 
       4*t[76] - t[77] + (121*t[78])/4 + 3*t[79] + (15*t[80])/2 + 
       (11*t[81])/4 - 19*t[83] + (181*t[84])/16 + (89*t[85])/16 + 7*t[86] - 
       (265*t[87])/16 + (7*t[88])/32 + (809*t[89])/32 + t[91]/12 + t[93] - 
       9*t[95] - 11*t[96] + t[97]/4 - 60*t[98] + 32*t[99] + 51*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((5*t[1])/2 - (7*t[2])/2 - (13*t[3])/4 + (55*t[4])/2 + (27*t[5])/8 - 
       t[6] + (39*t[7])/4 - (27*t[8])/4 + (73*t[9])/8 + (15*t[10])/2 + 
       (51*t[11])/2 - (25*t[12])/8 + (1307*t[13])/72 - (57*t[14])/8 + 
       (125*t[15])/48 + 2*t[19] - 2*t[20] - 2*t[21] + t[22] + 2*t[23] + 
       5*t[25] - (13*t[26])/2 - t[27] + t[29] - 5*t[30] - 2*t[31] + 2*t[32] - 
       2*t[33] - t[34] - 2*t[36] - 2*t[37] + (5*t[38])/2 + 2*t[39] - 
       3*t[40] - t[43]/2 + t[44] + t[45] - t[46] + t[47] - (31*t[48])/4 - 
       (21*t[49])/4 + (21*t[50])/4 + (5*t[51])/2 - (25*t[52])/4 - 
       (15*t[53])/4 - (87*t[54])/4 + t[58]/2 - t[59]/2 + (171*t[60])/4 + 
       (37*t[61])/4 - 30*t[62] - 75*t[63] - (49*t[64])/8 + (29*t[65])/2 + 
       (93*t[66])/4 + 4*t[70] - 4*t[71] + 4*t[72] + 2*t[74] - (19*t[76])/2 + 
       4*t[77] + 14*t[78] - 11*t[80] - (9*t[81])/2 - 3*t[82] + (27*t[84])/2 - 
       (21*t[85])/2 + 12*t[86] + (35*t[87])/2 + (111*t[88])/4 + 
       (217*t[89])/8 - 4*t[95] - 4*t[96] + 2*t[97] - 60*t[98] + 32*t[99] + 
       51*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((3*t[1])/4 + (5*t[2])/4 + (25*t[3])/4 + 
       (109*t[4])/8 + (7*t[5])/8 - (25*t[6])/8 - (21*t[7])/2 - (29*t[8])/2 - 
       (81*t[9])/8 - (23*t[10])/16 - 6*t[11] - (201*t[12])/16 + 
       (1189*t[13])/144 - (2057*t[14])/96 + (103*t[15])/72 + t[19]/2 - 
       t[20]/2 - t[21]/2 + t[23]/2 + 2*t[25] - (19*t[26])/4 + (5*t[28])/2 - 
       t[29]/2 - t[30] - t[31]/2 - t[32]/2 + t[33]/2 + (3*t[34])/2 - 
       4*t[35] - t[36]/2 - (3*t[37])/2 + 2*t[38] - (11*t[39])/4 + 
       (5*t[40])/2 - (3*t[41])/4 + (3*t[42])/4 - t[43]/2 - t[44]/2 + 
       t[45]/2 - (3*t[47])/2 - (15*t[48])/2 - (97*t[49])/16 + (11*t[50])/4 + 
       (117*t[51])/32 - (21*t[52])/4 - (27*t[53])/16 - (91*t[54])/8 - 
       t[58]/4 - (5*t[59])/4 + (179*t[60])/8 - (245*t[61])/8 + 
       (159*t[62])/8 - (197*t[63])/8 - (171*t[64])/16 + (863*t[65])/24 + 
       (1039*t[66])/24 + 2*t[70] - 2*t[71] + (5*t[72])/2 + 2*t[73] + 
       (5*t[74])/2 - t[75] - (35*t[76])/4 - (3*t[77])/2 + (71*t[78])/4 - 
       2*t[79] + 3*t[80] - t[81]/4 - (9*t[82])/4 + (51*t[84])/4 + 
       (87*t[85])/8 + 10*t[86] + (69*t[87])/8 + (229*t[88])/16 + 
       (263*t[89])/16 - 2*t[95] - 8*t[96] - t[97] - 42*t[98] + 22*t[99] + 
       (103*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(t[1] - (9*t[2])/4 - 3*t[3] + (155*t[4])/8 + 
       (25*t[5])/16 + (123*t[6])/16 + (17*t[7])/8 + (125*t[8])/8 - 
       (171*t[9])/16 + (135*t[10])/16 + (153*t[11])/16 + (11*t[12])/4 + 
       (1213*t[13])/48 - (997*t[14])/96 + (755*t[15])/288 + t[19]/2 + 
       t[20]/2 + t[21]/2 - t[22]/2 - t[23]/2 + 2*t[25] - (3*t[26])/4 - 
       t[27]/2 + t[28]/2 + t[29]/2 - 2*t[30] - 4*t[31] + t[32]/2 - t[33]/2 - 
       t[34] - 2*t[35] + t[36]/2 - (5*t[37])/2 - t[38]/2 - 2*t[39] - 
       t[40]/2 + (3*t[41])/4 - (3*t[42])/4 - t[43] - t[44] - (3*t[45])/2 - 
       (7*t[46])/2 + (7*t[47])/2 + (59*t[48])/16 - (45*t[49])/16 - 
       (21*t[50])/16 + (137*t[51])/32 + (21*t[52])/16 - (47*t[53])/16 - 
       (129*t[54])/16 + (3*t[58])/4 + (3*t[59])/2 + (131*t[60])/4 - 
       (19*t[61])/4 + (5*t[62])/16 - (1305*t[63])/16 + 38*t[64] + 
       (151*t[65])/6 + (56*t[66])/3 + (3*t[69])/2 + t[70]/2 - t[71]/2 + 
       (3*t[72])/2 - t[73] - (3*t[74])/2 + t[75] - (15*t[76])/2 + 
       (3*t[77])/2 + (25*t[78])/2 + 8*t[79] - t[80] - (17*t[81])/4 - 
       2*t[82] - t[83]/2 + (67*t[84])/8 - (33*t[85])/4 + 5*t[86] + 
       (91*t[87])/4 + (169*t[88])/8 + 25*t[89] - 2*t[95] - 2*t[96] + 
       (3*t[97])/2 - 42*t[98] + 22*t[99] + (103*t[100])/2) + 
     HPL[{1}, 1 - u]^2*Qep[u, w, v]*((-712*t[4])/9 + (22*t[5])/9 - 
       (44*t[7])/9 - (44*t[8])/9 - (22*t[9])/9 - (932*t[10])/9 - 
       (68*t[11])/9 + (970*t[12])/9 + (680*t[13])/27 - (2635*t[14])/27 + 
       (103*t[15])/3 - (16*t[36])/3 - (152*t[49])/9 + (179*t[51])/3 + 
       (296*t[53])/9 + (236*t[54])/3 - (832*t[60])/9 - (640*t[61])/3 + 
       (590*t[62])/9 - (574*t[63])/9 + (2552*t[64])/9 - (1604*t[65])/27 - 
       (380*t[66])/27 + (32*t[69])/3 + (16*t[73])/3 + (112*t[75])/3 - 
       (16*t[79])/3 - (256*t[83])/9 - (236*t[84])/3 - (236*t[85])/3 - 
       (176*t[86])/9 - (272*t[87])/9 - (136*t[88])/9 - 56*t[89] + 
       (160*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-79*t[2])/8 + (337*t[3])/48 - (115*t[4])/8 + 
       (57*t[5])/16 - (409*t[6])/48 - (253*t[7])/24 - (335*t[8])/24 - 
       (1015*t[9])/48 - t[10]/16 - (283*t[11])/48 + (167*t[12])/24 - 
       (1429*t[13])/144 - (5123*t[14])/288 - (1685*t[15])/432 + t[22] + 
       t[28] - (13*t[29])/12 + (13*t[30])/3 + (5*t[32])/3 - (5*t[33])/6 - 
       t[34]/3 + t[35] - t[36] + t[37] + t[41]/2 - t[42]/2 + (25*t[44])/24 + 
       t[47] - (39*t[48])/16 - (27*t[49])/16 - (3*t[50])/16 + 
       (141*t[51])/32 + (3*t[52])/16 + (51*t[53])/16 + (181*t[54])/48 + 
       (5*t[59])/12 - (185*t[60])/8 - (349*t[61])/8 - (5*t[62])/6 + 
       (65*t[63])/4 + (967*t[64])/16 - (317*t[65])/36 + (1003*t[66])/36 + 
       t[73] - (8*t[74])/3 - 2*t[75] - 3*t[79] - t[80] + t[81]/2 - t[82]/2 + 
       4*t[83] - (161*t[84])/12 - (31*t[85])/3 + t[86] + (67*t[87])/12 + 
       (45*t[88])/8 - (22*t[89])/3 - (2*t[95])/3 - 8*t[99] + 55*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((5*t[1])/3 + (23*t[2])/12 - (19*t[3])/3 + (67*t[4])/6 - (33*t[5])/2 + 
       (265*t[6])/12 + 2*t[7] + (19*t[8])/2 + (45*t[9])/4 - (17*t[10])/6 - 
       (5*t[11])/12 - (13*t[12])/3 + (17*t[13])/9 - (379*t[14])/36 + 
       (139*t[15])/36 + 4*t[19] - 4*t[20] - 4*t[21] + 2*t[22] + 4*t[23] + 
       (5*t[25])/3 - (4*t[26])/3 - (8*t[27])/3 - 2*t[28] + 2*t[29] - 
       3*t[30] + (2*t[31])/3 + 2*t[32] - 2*t[33] + t[34]/3 + 4*t[35] - 
       4*t[36] - (38*t[37])/3 + (2*t[38])/3 + (2*t[39])/3 - (29*t[40])/6 - 
       (7*t[41])/6 + (7*t[42])/6 - t[43]/2 + 2*t[44] + (7*t[45])/3 + 
       (2*t[46])/3 - (2*t[47])/3 - (13*t[48])/4 - (23*t[49])/2 + 
       (71*t[50])/4 - (5*t[51])/3 - (39*t[52])/4 - (79*t[54])/4 + 
       (4*t[58])/3 - (13*t[59])/12 + (265*t[60])/12 - (115*t[61])/12 + 
       (709*t[62])/24 - (1229*t[63])/24 - (827*t[64])/24 + (2243*t[65])/36 + 
       (3265*t[66])/36 + 2*t[69] + (14*t[70])/3 - (14*t[71])/3 + 
       (2*t[72])/3 + 4*t[73] + 2*t[74] - 4*t[75] - (70*t[76])/3 + t[77]/3 + 
       (217*t[78])/6 - (109*t[80])/3 - (15*t[81])/2 - (17*t[82])/6 - 
       (16*t[83])/3 + (389*t[84])/12 + (53*t[85])/12 + 4*t[86] + 
       (661*t[87])/12 + (331*t[88])/8 + (1049*t[89])/24 - 8*t[95] - 
       (32*t[96])/3 - (9*t[97])/2 - 140*t[98] + 128*t[99] + 55*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*((-323*t[1])/8 + 
       (21*t[2])/8 + (173*t[3])/8 + (2815*t[4])/16 - (155*t[5])/8 - 
       (207*t[6])/16 - (165*t[7])/8 - (403*t[8])/8 + (39*t[9])/2 - 
       (3891*t[10])/32 + (2507*t[11])/16 + (2789*t[12])/32 + (1261*t[13])/8 - 
       (10033*t[14])/192 - (4057*t[15])/96 - (9*t[16])/2 + 6*t[19] + 
       (41*t[25])/2 + (27*t[26])/2 + (21*t[34])/4 - (9*t[36])/2 - 18*t[37] - 
       (71*t[38])/2 - (39*t[39])/4 + (9*t[40])/2 - (21*t[41])/8 + 
       (21*t[42])/8 - 3*t[45] + (273*t[46])/4 + 6*t[47] - (381*t[48])/16 - 
       (4501*t[49])/32 + (83*t[50])/16 - (3547*t[51])/64 - (167*t[52])/16 + 
       (1513*t[53])/32 - (253*t[54])/2 + (35*t[59])/8 + (4689*t[60])/16 - 
       (1613*t[61])/16 + (1245*t[62])/32 - (10481*t[63])/32 - 
       (3247*t[64])/32 + (1475*t[65])/48 - (1661*t[66])/16 + (3*t[67])/2 + 
       3*t[70] - 3*t[71] + 39*t[73] + (9*t[74])/2 - 111*t[75] - 
       (45*t[76])/2 - (9*t[77])/2 + (27*t[78])/4 - (9*t[80])/2 + 
       (27*t[81])/4 - (27*t[82])/4 + 35*t[83] + (2303*t[84])/16 + 
       (2623*t[85])/16 - 2*t[86] - (357*t[87])/16 + (1131*t[88])/32 + 
       (5769*t[89])/32 - 33*t[95] - 27*t[96] - (21*t[97])/4 - 126*t[98] + 
       90*t[99] + 57*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((45*t[1])/4 - (9*t[2])/4 - (171*t[3])/8 + (2699*t[4])/16 + 
       (11*t[5])/8 + (459*t[6])/16 + (5*t[7])/8 + (527*t[8])/8 - 
       (59*t[9])/2 + (2051*t[10])/32 + (1465*t[11])/16 - (2861*t[12])/32 + 
       (841*t[13])/8 + (7283*t[14])/192 - (741*t[15])/32 - 6*t[16] - 
       9*t[19] + (21*t[25])/2 - (51*t[26])/4 - (9*t[34])/2 + (39*t[36])/2 + 
       6*t[37] + (27*t[38])/4 - (21*t[39])/4 - (9*t[40])/2 + (9*t[41])/4 - 
       (9*t[42])/4 - 3*t[45] + 6*t[46] + 6*t[47] + (219*t[48])/16 - 
       (199*t[49])/32 - (93*t[50])/16 - (2307*t[51])/64 + (165*t[52])/16 - 
       (869*t[53])/32 - 135*t[54] + (3*t[58])/4 + (3*t[59])/4 + 
       (3407*t[60])/16 + (1799*t[61])/16 - (1139*t[62])/32 - 
       (11441*t[63])/32 - (7583*t[64])/32 + (4099*t[65])/48 - 
       (2519*t[66])/48 - 6*t[69] + 39*t[73] - (9*t[74])/2 - 111*t[75] - 
       (39*t[76])/2 + (9*t[77])/2 - (33*t[78])/2 + 15*t[79] - 12*t[80] - 
       18*t[81] - (27*t[82])/4 + 44*t[83] + (1851*t[84])/16 + 
       (1503*t[85])/16 - 11*t[86] + (739*t[87])/16 + (2227*t[88])/32 + 
       (5859*t[89])/32 - 33*t[95] - (3*t[96])/2 + (9*t[97])/2 - 126*t[98] + 
       90*t[99] + 57*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u]*((-169*t[1])/48 + (17*t[2])/8 + (257*t[3])/48 - 
       (2017*t[4])/288 + (47*t[5])/144 + (27*t[6])/32 - (493*t[7])/144 - 
       (1621*t[8])/144 - (29*t[9])/36 + (3905*t[10])/576 - (8801*t[11])/288 + 
       (2993*t[12])/576 - (2677*t[13])/216 - (36661*t[14])/3456 - 
       (1477*t[15])/576 - t[19]/2 + t[20]/2 + t[21]/2 - t[22]/4 - t[23]/2 - 
       (13*t[25])/12 + (47*t[26])/12 - (3*t[27])/4 - t[29]/4 - t[30]/4 + 
       t[31]/2 + t[32]/4 - t[33]/4 + (7*t[34])/8 + (59*t[36])/12 + t[37]/4 - 
       (77*t[38])/24 - t[39]/4 - (3*t[40])/8 - (5*t[41])/16 + (5*t[42])/16 + 
       t[43]/8 + t[44]/2 - t[45]/4 - (59*t[46])/8 + t[47]/2 - (93*t[48])/32 + 
       (947*t[49])/576 + (497*t[50])/96 + (769*t[51])/128 - (413*t[52])/96 + 
       (565*t[53])/576 - (27*t[54])/8 + t[58]/4 + (25*t[59])/12 - 
       (7615*t[60])/288 - (2467*t[61])/96 + (12733*t[62])/576 + 
       (15187*t[63])/576 - (20609*t[64])/576 + (35737*t[65])/864 + 
       (48523*t[66])/864 + (29*t[69])/12 - (3*t[70])/2 + (3*t[71])/2 - 
       t[72] + (9*t[73])/2 - (83*t[74])/12 + (8*t[75])/3 - 5*t[76] - 
       t[77]/2 + (21*t[78])/4 - 2*t[79] - (55*t[81])/24 + (67*t[82])/24 - 
       (553*t[83])/72 + (165*t[84])/32 + (617*t[85])/96 - (59*t[86])/18 + 
       (2881*t[87])/288 + (4441*t[88])/576 - (61*t[89])/64 - (7*t[95])/6 - 
       (7*t[96])/2 - (7*t[97])/4 - 27*t[98] + 24*t[99] + (689*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-65*t[1])/6 - (3*t[3])/4 - (629*t[4])/12 - (91*t[5])/12 + 
       (49*t[6])/16 - (10*t[7])/3 - (11*t[8])/6 + (25*t[9])/3 - 
       (79*t[10])/3 - (893*t[11])/48 + (1405*t[12])/24 - (383*t[13])/36 - 
       (519*t[14])/16 + (28*t[15])/3 + t[16] - t[25]/2 + (31*t[26])/3 + 
       2*t[31] - (8*t[36])/3 - (59*t[38])/6 - (5*t[46])/4 - (31*t[48])/16 - 
       (163*t[49])/12 - (87*t[50])/16 + (147*t[51])/8 + (87*t[52])/16 + 
       (259*t[53])/12 + (1421*t[54])/48 + (47*t[59])/12 - (2023*t[60])/24 - 
       (947*t[61])/24 + (1955*t[62])/48 + (179*t[63])/48 + (987*t[64])/16 + 
       (1751*t[65])/36 + (179*t[66])/6 + 11*t[69] - 4*t[72] + 7*t[73] - 
       (19*t[74])/3 + 17*t[75] - 9*t[79] + (65*t[81])/12 - (65*t[82])/12 - 
       (127*t[83])/6 - (305*t[84])/12 - (403*t[85])/24 - (49*t[86])/3 + 
       (207*t[87])/8 + (545*t[88])/48 - (323*t[89])/48 + (32*t[95])/3 + 
       (115*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((179*t[1])/18 + (127*t[2])/72 - (311*t[3])/72 + 
       (5405*t[4])/192 - (283*t[5])/96 + (365*t[6])/16 + (223*t[7])/36 + 
       (679*t[8])/24 - (1013*t[9])/288 - (31147*t[10])/1152 + (401*t[11])/8 - 
       (6757*t[12])/384 + (117167*t[13])/5184 + (15241*t[14])/2304 - 
       (6271*t[15])/1152 + (3*t[16])/4 - 2*t[19] + (271*t[25])/36 - 
       (473*t[26])/36 - (17*t[27])/18 + (19*t[30])/12 - (11*t[31])/36 - 
       (23*t[34])/36 - 2*t[35] - (27*t[36])/2 - (209*t[37])/36 + 
       (131*t[38])/18 - 2*t[39] - (67*t[40])/36 + (23*t[41])/72 - 
       (23*t[42])/72 - (5*t[43])/6 - (31*t[45])/18 + (97*t[46])/6 + 
       (31*t[47])/9 + (493*t[48])/48 - (9007*t[49])/384 + (187*t[50])/144 - 
       (33635*t[51])/2304 + (305*t[52])/144 + (1781*t[53])/1152 - 
       (11825*t[54])/576 + (17*t[58])/18 - (515*t[59])/72 + 
       (37075*t[60])/576 + (1945*t[61])/64 - (17737*t[62])/1152 - 
       (94399*t[63])/1152 + (20981*t[64])/1152 - (10313*t[65])/576 - 
       (9701*t[66])/1728 - t[67]/4 - (15*t[69])/2 + (133*t[70])/18 - 
       (133*t[71])/18 + (17*t[72])/6 - (28*t[73])/3 + 16*t[74] - 
       (16*t[75])/3 - (719*t[76])/36 + (17*t[77])/36 + (473*t[78])/36 + 
       (23*t[79])/2 - (31*t[80])/2 - (713*t[81])/72 + (167*t[82])/72 + 
       (283*t[83])/36 + (14633*t[84])/576 - (1459*t[85])/576 - 
       (211*t[86])/18 + (25027*t[87])/576 + (13633*t[88])/384 + 
       (5613*t[89])/128 - (31*t[95])/6 - (56*t[96])/9 - (3*t[97])/4 - 
       (350*t[98])/3 + 107*t[99] + (353*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-17*t[1])/6 - (11*t[2])/6 + (67*t[3])/6 + (173*t[4])/12 + 
       (107*t[5])/4 - (53*t[6])/12 - 9*t[7] - 8*t[8] - (135*t[9])/4 - 
       (41*t[10])/24 - (23*t[11])/12 - (11*t[12])/24 + (40*t[13])/9 - 
       (2371*t[14])/144 + (5*t[15])/12 + (8*t[25])/3 - t[26]/3 + 
       (4*t[27])/3 - 2*t[28] - (4*t[31])/3 + t[34]/3 - (8*t[37])/3 - 
       (7*t[38])/3 - (10*t[39])/3 + (8*t[40])/3 - t[41]/6 + t[42]/6 - 
       (2*t[45])/3 - (4*t[46])/3 + (4*t[47])/3 - (15*t[48])/4 - 
       (29*t[49])/8 + (5*t[50])/4 - (77*t[51])/48 - (17*t[52])/4 - 
       (43*t[53])/8 - (33*t[54])/2 + t[58]/3 + (7*t[59])/6 + (199*t[60])/12 - 
       (307*t[61])/12 + (301*t[62])/24 - (173*t[63])/24 - (599*t[64])/24 + 
       (755*t[65])/36 + (2809*t[66])/36 + (8*t[70])/3 - (8*t[71])/3 - 
       (10*t[72])/3 - 4*t[75] - (16*t[76])/3 - (2*t[77])/3 + (5*t[78])/3 + 
       8*t[79] + (2*t[80])/3 - 9*t[81] + (32*t[82])/3 - (16*t[83])/3 + 
       (65*t[84])/12 + (5*t[85])/12 - 4*t[86] + (139*t[87])/12 + 
       (153*t[88])/8 + (269*t[89])/24 - 4*t[95] - (14*t[96])/3 + t[97] - 
       32*t[98] + 24*t[99] + 60*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*(6*t[1] - 4*t[2] - 3*t[3] - 22*t[4] - 
       t[5]/2 + (3*t[6])/2 + 9*t[7] + 35*t[8] + (7*t[9])/2 - 63*t[10] + 
       (85*t[11])/2 + (97*t[12])/2 - (727*t[13])/18 - (44*t[14])/3 + 
       (53*t[15])/4 + 4*t[16] - 12*t[20] - 4*t[21] + 4*t[23] - 12*t[31] + 
       8*t[36] - 8*t[38] - 2*t[41] + 2*t[42] - 16*t[45] - 4*t[46] + 
       32*t[47] + (35*t[48])/2 - 22*t[49] + (15*t[50])/2 + 14*t[51] - 
       (39*t[52])/2 + 22*t[53] + (29*t[54])/2 + 20*t[59] - 127*t[60] + 
       145*t[61] - (223*t[62])/2 + (83*t[63])/2 + (325*t[64])/2 + 69*t[65] + 
       151*t[66] - 4*t[67] - 16*t[68] + 4*t[69] - 4*t[70] + 4*t[71] + 
       24*t[72] - 8*t[74] + 32*t[80] - 4*t[81] + 4*t[82] + t[84] - 47*t[85] + 
       32*t[86] + 109*t[87] + (109*t[88])/2 - (97*t[89])/2 - 384*t[98] + 
       480*t[99] + 60*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 
       1 - v]*(4*t[2] + 2*t[3] - 46*t[4] + 38*t[5] - 11*t[6] - 4*t[7] - 
       4*t[8] - 40*t[9] + 62*t[10] - 35*t[11] + 30*t[12] - (169*t[13])/9 - 
       (20*t[14])/3 + (79*t[15])/3 + 12*t[20] + 4*t[21] - 4*t[23] + 4*t[27] - 
       32*t[39] + 16*t[40] + 2*t[41] - 2*t[42] + 4*t[46] + 21*t[48] - 
       20*t[49] + 25*t[50] + 7*t[51] - 13*t[52] + 20*t[53] - 3*t[54] - 
       88*t[60] + 104*t[61] - 50*t[62] + 118*t[63] + 60*t[64] + 
       (64*t[65])/3 + 112*t[66] + 28*t[72] - 64*t[76] - 16*t[77] + 80*t[78] - 
       32*t[80] - 16*t[81] + 48*t[82] - 4*t[84] - 68*t[85] + 76*t[87] + 
       38*t[88] - 36*t[89] - 384*t[98] + 480*t[99] + 60*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((47*t[1])/9 + (409*t[2])/72 + t[3]/9 - (25*t[4])/36 - (751*t[5])/72 + 
       (719*t[6])/24 + (163*t[7])/36 + (803*t[8])/36 + (35*t[9])/9 - 
       (379*t[10])/72 - (227*t[11])/36 + (307*t[12])/72 + (313*t[13])/162 - 
       (1769*t[14])/108 - (95*t[15])/27 - (26*t[26])/9 - (7*t[27])/9 + 
       (5*t[28])/6 + t[30]/3 - (32*t[31])/9 + (13*t[34])/9 - (11*t[35])/3 - 
       (11*t[36])/6 - (17*t[37])/9 + (26*t[38])/9 - (11*t[39])/3 - 
       (16*t[40])/9 - (13*t[41])/18 + (13*t[42])/18 + t[43]/6 - 
       (11*t[44])/6 - (11*t[45])/9 - (3*t[46])/4 + (22*t[47])/9 + 
       (151*t[48])/24 - (1709*t[49])/72 + (697*t[50])/72 + (317*t[51])/36 - 
       (193*t[52])/72 + (193*t[53])/18 + (17*t[54])/12 + (13*t[58])/9 - 
       (53*t[59])/18 + (281*t[60])/18 - (2285*t[61])/72 + (1183*t[62])/36 - 
       (412*t[63])/9 - (703*t[64])/48 + (157*t[65])/4 + (2465*t[66])/54 + 
       (8*t[69])/3 - (7*t[70])/9 + (7*t[71])/9 + (19*t[72])/3 + 
       (29*t[73])/6 + t[74] - (47*t[75])/6 - (209*t[76])/9 - (11*t[77])/18 + 
       (197*t[78])/9 + (34*t[79])/3 - (41*t[80])/3 - (343*t[81])/36 + 
       (55*t[82])/36 - (65*t[83])/18 + (91*t[84])/4 + (59*t[85])/72 + 
       (13*t[86])/3 + (671*t[87])/18 + (127*t[88])/4 + (449*t[89])/24 - 
       (16*t[95])/3 - (104*t[96])/9 - (17*t[97])/3 - (446*t[98])/3 + 
       142*t[99] + 62*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-68*t[1])/9 - (89*t[2])/144 + (137*t[3])/18 + 
       (1085*t[4])/576 - (163*t[5])/144 - (959*t[6])/288 - (1519*t[7])/144 - 
       (3127*t[8])/144 - (961*t[9])/72 - (4793*t[10])/384 - 
       (1445*t[11])/144 + (4435*t[12])/384 - (1303*t[13])/192 - 
       (168763*t[14])/6912 - (16831*t[15])/3456 + t[16] + 2*t[19] - 
       (17*t[25])/36 + (193*t[26])/36 - (25*t[27])/9 - (3*t[28])/4 + 
       (3*t[29])/2 + (5*t[30])/6 + (7*t[31])/9 + (14*t[34])/9 + (7*t[35])/2 - 
       (55*t[36])/12 - (47*t[37])/18 - (109*t[38])/18 - (71*t[39])/36 + 
       (13*t[40])/9 - (7*t[41])/9 + (7*t[42])/9 + (5*t[43])/12 - 
       (5*t[44])/2 - (47*t[45])/18 - (61*t[46])/72 + (47*t[47])/9 - 
       (235*t[48])/32 - (12161*t[49])/1152 + (325*t[50])/32 + 
       (15791*t[51])/2304 - (1231*t[52])/96 - (2071*t[53])/1152 - 
       (1963*t[54])/192 - t[58]/36 + (173*t[59])/72 + (2725*t[60])/192 - 
       (20645*t[61])/576 - (30095*t[62])/1152 + (17311*t[63])/1152 + 
       (16843*t[64])/1152 + (259*t[65])/192 + (118321*t[66])/1728 + 
       (13*t[69])/6 + (25*t[70])/9 - (25*t[71])/9 + (23*t[72])/18 - 
       (113*t[73])/12 + (19*t[74])/12 + (49*t[75])/12 - (539*t[76])/36 - 
       t[77]/9 + (643*t[78])/36 - (41*t[79])/4 + (16*t[80])/9 - 3*t[81] - 
       (19*t[82])/18 + (1169*t[83])/36 + (2563*t[84])/576 - 
       (3629*t[85])/576 + (1229*t[86])/36 + (11365*t[87])/576 + 
       (25637*t[88])/1152 - (7427*t[89])/1152 - (13*t[95])/3 - 
       (173*t[96])/18 - t[97] - (220*t[98])/3 + 62*t[99] + (373*t[100])/6) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((37*t[1])/6 + (37*t[2])/6 + (4*t[3])/3 - (557*t[4])/24 - 
       (391*t[5])/24 + (167*t[6])/8 + (13*t[7])/3 - (4*t[8])/3 + 
       (355*t[9])/24 - (533*t[10])/48 - (559*t[11])/24 + (41*t[12])/48 - 
       (2693*t[13])/216 - (7957*t[14])/288 - (31*t[15])/12 - 2*t[25] - 
       (11*t[26])/3 + (2*t[27])/3 + 2*t[28] + 2*t[30] - (2*t[31])/3 + 
       (4*t[34])/3 - 4*t[35] - 3*t[36] + t[37]/3 + (17*t[38])/3 - 2*t[39] - 
       (7*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 + t[43] + t[45]/3 + 4*t[46] - 
       (2*t[47])/3 + (31*t[48])/8 - (967*t[49])/48 + (277*t[50])/24 + 
       (937*t[51])/96 - (85*t[52])/24 + (695*t[53])/48 + (35*t[54])/4 + 
       (4*t[58])/3 - (16*t[59])/3 - (205*t[60])/24 - (1757*t[61])/24 + 
       (2305*t[62])/48 - (1105*t[63])/48 + (353*t[64])/16 + (527*t[65])/24 + 
       (2363*t[66])/72 + (2*t[70])/3 - (2*t[71])/3 - 2*t[72] + 4*t[73] + 
       t[74] - 4*t[75] - (53*t[76])/3 - t[77]/3 + (65*t[78])/3 + 7*t[79] - 
       18*t[80] - (29*t[81])/6 - (19*t[82])/6 - (4*t[83])/3 + (71*t[84])/8 + 
       (119*t[85])/24 - 3*t[86] + (905*t[87])/24 + (355*t[88])/16 + 
       (343*t[89])/16 - 2*t[95] - (26*t[96])/3 - 6*t[97] - 104*t[98] + 
       112*t[99] + 63*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*((37*t[1])/6 + (37*t[2])/6 + (4*t[3])/3 - 
       (557*t[4])/24 - (391*t[5])/24 + (167*t[6])/8 + (13*t[7])/3 - 
       (4*t[8])/3 + (355*t[9])/24 - (533*t[10])/48 - (559*t[11])/24 + 
       (41*t[12])/48 - (2693*t[13])/216 - (7957*t[14])/288 - (31*t[15])/12 - 
       2*t[25] - (11*t[26])/3 + (2*t[27])/3 + 2*t[28] + 2*t[30] - 
       (2*t[31])/3 + (4*t[34])/3 - 4*t[35] - 3*t[36] + t[37]/3 + 
       (17*t[38])/3 - 2*t[39] - (7*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 + 
       t[43] + t[45]/3 + 4*t[46] - (2*t[47])/3 + (31*t[48])/8 - 
       (967*t[49])/48 + (277*t[50])/24 + (937*t[51])/96 - (85*t[52])/24 + 
       (695*t[53])/48 + (35*t[54])/4 + (4*t[58])/3 - (16*t[59])/3 - 
       (205*t[60])/24 - (1757*t[61])/24 + (2305*t[62])/48 - (1105*t[63])/48 + 
       (353*t[64])/16 + (527*t[65])/24 + (2363*t[66])/72 + (2*t[70])/3 - 
       (2*t[71])/3 - 2*t[72] + 4*t[73] + t[74] - 4*t[75] - (53*t[76])/3 - 
       t[77]/3 + (65*t[78])/3 + 7*t[79] - 18*t[80] - (29*t[81])/6 - 
       (19*t[82])/6 - (4*t[83])/3 + (71*t[84])/8 + (119*t[85])/24 - 3*t[86] + 
       (905*t[87])/24 + (355*t[88])/16 + (343*t[89])/16 - 2*t[95] - 
       (26*t[96])/3 - 6*t[97] - 104*t[98] + 112*t[99] + 63*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-23*t[1])/6 + (37*t[2])/6 + (2*t[3])/3 - (701*t[4])/24 - 
       (63*t[5])/8 + (491*t[6])/24 - 9*t[7] + 28*t[8] + (35*t[9])/8 - 
       (475*t[10])/48 - (1255*t[11])/24 + (275*t[12])/48 - (1957*t[13])/72 - 
       (4961*t[14])/288 + (91*t[15])/36 + (2*t[25])/3 + (11*t[26])/3 - 
       (2*t[27])/3 - 2*t[28] - 2*t[30] + (2*t[31])/3 + (4*t[34])/3 + 
       4*t[35] - t[36] - (11*t[37])/3 - (13*t[38])/3 + (2*t[39])/3 - 
       (7*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 - t[43] + t[45]/3 - 
       (4*t[46])/3 - (2*t[47])/3 + (57*t[48])/8 - (127*t[49])/16 + 
       (65*t[50])/8 + (137*t[51])/96 - t[52]/8 + (47*t[53])/16 + 
       (19*t[54])/2 + (4*t[58])/3 - t[59]/3 - (1063*t[60])/24 - 
       (1109*t[61])/24 + (2609*t[62])/48 + (839*t[63])/48 + (443*t[64])/48 + 
       (5077*t[65])/72 + (7859*t[66])/72 + (2*t[70])/3 - (2*t[71])/3 - 
       (10*t[72])/3 + 4*t[73] - t[74] - 4*t[75] - (55*t[76])/3 + t[77]/3 + 
       (71*t[78])/3 - (46*t[80])/3 - (13*t[81])/2 + (31*t[82])/6 - 
       (4*t[83])/3 + (229*t[84])/24 + (43*t[85])/24 + 2*t[86] + 
       (1301*t[87])/24 + (487*t[88])/16 + (1195*t[89])/48 - 2*t[95] - 
       (26*t[96])/3 - 6*t[97] - 104*t[98] + 112*t[99] + 63*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-23*t[1])/6 + (37*t[2])/6 + (2*t[3])/3 - (701*t[4])/24 - 
       (63*t[5])/8 + (491*t[6])/24 - 9*t[7] + 28*t[8] + (35*t[9])/8 - 
       (475*t[10])/48 - (1255*t[11])/24 + (275*t[12])/48 - (1957*t[13])/72 - 
       (4961*t[14])/288 + (91*t[15])/36 + (2*t[25])/3 + (11*t[26])/3 - 
       (2*t[27])/3 - 2*t[28] - 2*t[30] + (2*t[31])/3 + (4*t[34])/3 + 
       4*t[35] - t[36] - (11*t[37])/3 - (13*t[38])/3 + (2*t[39])/3 - 
       (7*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 - t[43] + t[45]/3 - 
       (4*t[46])/3 - (2*t[47])/3 + (57*t[48])/8 - (127*t[49])/16 + 
       (65*t[50])/8 + (137*t[51])/96 - t[52]/8 + (47*t[53])/16 + 
       (19*t[54])/2 + (4*t[58])/3 - t[59]/3 - (1063*t[60])/24 - 
       (1109*t[61])/24 + (2609*t[62])/48 + (839*t[63])/48 + (443*t[64])/48 + 
       (5077*t[65])/72 + (7859*t[66])/72 + (2*t[70])/3 - (2*t[71])/3 - 
       (10*t[72])/3 + 4*t[73] - t[74] - 4*t[75] - (55*t[76])/3 + t[77]/3 + 
       (71*t[78])/3 - (46*t[80])/3 - (13*t[81])/2 + (31*t[82])/6 - 
       (4*t[83])/3 + (229*t[84])/24 + (43*t[85])/24 + 2*t[86] + 
       (1301*t[87])/24 + (487*t[88])/16 + (1195*t[89])/48 - 2*t[95] - 
       (26*t[96])/3 - 6*t[97] - 104*t[98] + 112*t[99] + 63*t[100]) + 
     HPL[{1}, 1 - v]^2*Qep[v, u, w]*((16*t[1])/3 + (16*t[3])/3 + 
       (64*t[4])/3 + (20*t[5])/3 - 6*t[6] - (8*t[7])/3 - (40*t[8])/3 - 
       12*t[9] + 76*t[10] - (146*t[11])/3 - 8*t[12] - (524*t[13])/9 - 
       (104*t[14])/9 + (22*t[15])/9 - (32*t[25])/3 + (16*t[26])/3 + 
       (32*t[37])/3 + (16*t[38])/3 - 48*t[46] - 6*t[48] + 72*t[49] + 
       (14*t[50])/3 + (124*t[51])/3 - (14*t[52])/3 - (80*t[53])/3 - 
       (2*t[54])/3 + (32*t[59])/3 - (44*t[60])/3 - (160*t[61])/3 + 22*t[62] + 
       (238*t[63])/3 - 104*t[64] - (20*t[65])/3 + (308*t[66])/3 + 
       (64*t[69])/3 - (32*t[70])/3 + (32*t[71])/3 + (16*t[73])/3 - 
       (32*t[74])/3 + (112*t[75])/3 - (32*t[79])/3 - (8*t[81])/3 + 
       (8*t[82])/3 - (64*t[83])/3 - (28*t[84])/3 - (8*t[85])/3 + 
       (32*t[86])/3 - 52*t[87] - 26*t[88] - (182*t[89])/3 + 64*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((17*t[1])/6 + (59*t[2])/6 + (565*t[3])/24 - (385*t[4])/4 + 
       (2497*t[5])/48 + (605*t[6])/16 - (469*t[7])/24 + (571*t[8])/8 - 
       (1349*t[9])/16 - (419*t[10])/12 - (5699*t[11])/48 - (1595*t[12])/48 - 
       (38863*t[13])/432 - (1363*t[14])/16 + (1387*t[15])/96 - t[16] - 
       5*t[25] - (34*t[26])/3 - 10*t[27] - 6*t[28] + 3*t[29] + t[30] - 
       8*t[31] - (2*t[32])/3 + (2*t[33])/3 + (5*t[34])/3 - 4*t[35] + 
       (22*t[36])/3 + (14*t[37])/3 + 2*t[38] - (43*t[39])/3 + (7*t[40])/6 - 
       (5*t[41])/6 + (5*t[42])/6 + (5*t[43])/2 - (33*t[44])/2 + 
       (107*t[45])/12 - (47*t[46])/6 - (37*t[47])/2 + (1055*t[48])/48 + 
       (67*t[49])/8 + (249*t[50])/16 + (47*t[51])/16 - (283*t[52])/48 - 
       (119*t[53])/8 + (591*t[54])/16 + t[58] + (7*t[59])/3 - 
       (1761*t[60])/8 - (4213*t[61])/24 + (777*t[62])/16 + (971*t[63])/16 + 
       (4583*t[64])/48 + (11867*t[65])/72 + (22169*t[66])/72 + t[67]/3 + 
       (34*t[68])/3 + 2*t[69] - 20*t[72] + 2*t[73] - (14*t[74])/3 - 6*t[75] - 
       (127*t[76])/3 - 7*t[77] + (115*t[78])/3 + 26*t[79] - (59*t[80])/3 - 
       (101*t[81])/6 + (125*t[82])/6 + 23*t[83] - (715*t[84])/24 - 
       (339*t[85])/8 + (231*t[86])/2 + (1933*t[87])/24 + (2141*t[88])/48 - 
       (1511*t[89])/48 - (2*t[90])/3 + t[91]/6 - 2*t[93] + (20*t[95])/3 - 
       (28*t[96])/3 - (22*t[97])/3 - 144*t[98] + 176*t[99] + 65*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-14*t[1])/3 + (19*t[2])/3 - (415*t[3])/24 - (151*t[4])/4 - 
       (2347*t[5])/48 + (449*t[6])/16 + (135*t[7])/8 + (93*t[8])/8 + 
       (4153*t[9])/48 + (343*t[10])/12 - (965*t[11])/16 + (2149*t[12])/48 - 
       (8699*t[13])/432 + (8723*t[14])/144 - (6925*t[15])/864 + (7*t[16])/3 + 
       3*t[25] + 13*t[26] + (20*t[27])/3 + 12*t[28] - (8*t[29])/3 + 5*t[30] + 
       2*t[31] + (2*t[32])/3 - (2*t[33])/3 + (2*t[34])/3 - 2*t[36] + 
       8*t[37] - (5*t[38])/3 + 9*t[39] + (5*t[40])/2 - t[41]/3 + t[42]/3 - 
       (25*t[43])/4 + 13*t[44] + (65*t[45])/12 + (13*t[46])/2 - 
       (61*t[47])/6 - (109*t[48])/48 - (545*t[49])/24 - (241*t[50])/48 - 
       (3*t[51])/16 + (251*t[52])/16 + (461*t[53])/24 + (1107*t[54])/16 + 
       (4*t[58])/3 - (11*t[59])/6 + (83*t[60])/8 + (407*t[61])/24 - 
       (395*t[62])/16 + (1285*t[63])/48 - (555*t[64])/16 + (79*t[65])/8 - 
       (4247*t[66])/72 - (16*t[68])/3 + 6*t[69] + (4*t[70])/3 - (4*t[71])/3 + 
       2*t[73] + (8*t[74])/3 + 14*t[75] - 10*t[76] + (10*t[77])/3 + 
       14*t[78] - 12*t[79] - 55*t[80] + t[81]/6 - (49*t[82])/2 - 25*t[83] + 
       (139*t[84])/8 - (29*t[85])/24 - (119*t[86])/6 - (679*t[87])/24 - 
       (455*t[88])/48 + (135*t[89])/16 - t[91]/6 + 2*t[93] + (20*t[95])/3 - 
       (22*t[96])/3 - (19*t[97])/3 - 144*t[98] + 176*t[99] + 65*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-55*t[1])/8 + (23*t[2])/8 + (13*t[3])/4 - (3*t[4])/16 - (17*t[5])/4 + 
       (53*t[6])/16 + (15*t[7])/4 - (27*t[8])/4 - (7*t[9])/8 - 
       (409*t[10])/32 - (141*t[11])/16 + (539*t[12])/32 + (269*t[13])/24 - 
       (725*t[14])/64 - (373*t[15])/288 + t[19]/2 + t[20]/2 + t[21]/2 - 
       t[23]/2 + 2*t[25] + (7*t[26])/2 + t[27]/2 - (3*t[28])/2 + t[30] + 
       (3*t[31])/2 + (5*t[34])/4 + 4*t[35] - t[36]/2 - (3*t[37])/2 - 
       6*t[38] - (9*t[39])/4 - (3*t[40])/2 - t[41]/8 + t[42]/8 + t[43]/2 + 
       t[44]/2 - (5*t[45])/2 - t[46]/2 + 5*t[47] - (93*t[48])/16 - 
       (559*t[49])/32 + (35*t[50])/16 + (459*t[51])/64 - (55*t[52])/16 + 
       (231*t[53])/32 + (47*t[54])/8 + (21*t[59])/8 + (163*t[60])/16 - 
       (187*t[61])/16 - (359*t[62])/32 - (1273*t[63])/32 - (647*t[64])/32 - 
       (191*t[65])/48 - (47*t[66])/16 + 2*t[70] - 2*t[71] - 2*t[72] - t[73] + 
       (5*t[74])/2 - (17*t[76])/2 - t[77]/2 + (35*t[78])/4 - (25*t[79])/2 + 
       (7*t[80])/2 - 6*t[81] - (11*t[82])/2 + 7*t[83] + (67*t[84])/16 + 
       (61*t[85])/16 + (41*t[86])/2 + (7*t[87])/16 + (327*t[88])/32 + 
       (185*t[89])/32 - 2*t[95] - 5*t[96] - (5*t[97])/4 - 54*t[98] + 
       46*t[99] + (133*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((-13*t[1])/4 - (9*t[2])/4 + 
       (9*t[3])/4 - (15*t[4])/16 + (93*t[5])/16 + (3*t[6])/4 - (11*t[7])/8 - 
       (123*t[8])/8 - (325*t[9])/16 + (357*t[10])/32 - (143*t[11])/8 + 
       (107*t[12])/32 - (755*t[13])/72 - (91*t[14])/192 + (647*t[15])/144 + 
       t[19]/2 - t[20]/2 - t[21]/2 + t[22]/2 + t[23]/2 + 2*t[25] + 
       (9*t[26])/4 + t[27]/2 - (3*t[28])/2 + 2*t[30] + 3*t[31] - t[34]/2 + 
       2*t[35] - (5*t[36])/2 - 3*t[37] - (15*t[38])/4 - (11*t[39])/4 + 
       t[43] + t[44] - t[45]/2 + t[46] + t[47] - (45*t[48])/8 - 
       (93*t[49])/32 + (51*t[50])/8 - (333*t[51])/64 - (47*t[52])/8 - 
       (107*t[53])/32 - (117*t[54])/16 + (3*t[58])/4 + 2*t[59] - 
       (301*t[60])/16 - (69*t[61])/16 + (55*t[62])/32 + (697*t[63])/32 - 
       (641*t[64])/32 + (707*t[65])/48 + (3725*t[66])/48 + 2*t[70] - 
       2*t[71] - 2*t[72] - 4*t[73] + (3*t[74])/2 + 3*t[75] - (23*t[76])/2 + 
       (11*t[78])/2 + 2*t[79] - 10*t[80] - (55*t[81])/4 + (11*t[82])/2 - 
       (63*t[84])/16 - (93*t[85])/16 - 6*t[86] + (189*t[87])/16 + 
       (517*t[88])/32 + (265*t[89])/32 - 2*t[95] - (7*t[96])/2 + t[97]/2 - 
       54*t[98] + 46*t[99] + (133*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((31*t[1])/6 + (27*t[2])/4 - (9*t[3])/2 - (307*t[4])/24 - 
       (925*t[5])/48 + (189*t[6])/16 + (2*t[7])/3 - (28*t[8])/3 + 
       (379*t[9])/48 + (7*t[10])/24 - (1067*t[11])/48 - (1291*t[12])/48 - 
       (17*t[13])/18 + (917*t[14])/96 - (2291*t[15])/288 + t[16]/2 - 
       2*t[19] - 2*t[20] - 2*t[21] + 2*t[22] + 2*t[23] + (3*t[25])/2 - 
       (20*t[26])/3 + 4*t[27] - t[28] - (5*t[29])/2 + 2*t[30] - 7*t[31] - 
       t[32] + t[33] + (5*t[34])/2 + (29*t[36])/6 - 4*t[37] + (14*t[38])/3 - 
       (15*t[39])/2 + t[40] - (9*t[41])/4 + (9*t[42])/4 + t[43] + t[44]/2 - 
       (5*t[45])/2 - (3*t[46])/4 + 5*t[47] + (23*t[48])/16 - (173*t[49])/6 + 
       (191*t[50])/16 + (305*t[51])/32 - (119*t[52])/16 + (121*t[53])/12 + 
       (569*t[54])/48 + t[58] - (13*t[59])/3 - (97*t[60])/24 - 
       (587*t[61])/24 + (13*t[62])/24 - (587*t[63])/24 - (445*t[64])/16 + 
       (263*t[65])/9 + t[66]/4 - t[68]/2 + 2*t[69] + t[70] - t[71] + 
       3*t[72] + 18*t[73] + t[74]/6 - 48*t[75] - (33*t[76])/2 + t[77]/2 + 
       (39*t[78])/2 + 2*t[79] - 7*t[80] - (31*t[81])/3 - (43*t[82])/6 + 
       (52*t[83])/3 + (235*t[84])/12 + (16*t[85])/3 + (77*t[86])/3 + 
       (77*t[87])/2 + (425*t[88])/12 - (20*t[89])/3 - (25*t[95])/3 - 
       10*t[96] - 6*t[97] - 108*t[98] + 106*t[99] + 68*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((17*t[1])/3 + (14*t[2])/3 + t[3]/3 - (167*t[4])/24 - (197*t[5])/12 + 
       (45*t[6])/2 + (5*t[7])/6 + (37*t[8])/6 + (77*t[9])/12 - 
       (77*t[10])/48 - (26*t[11])/3 + (71*t[12])/48 + (133*t[13])/216 - 
       (5563*t[14])/288 - (55*t[15])/16 - (14*t[26])/3 + (2*t[27])/3 + 
       2*t[28] - (8*t[31])/3 + (4*t[34])/3 - 4*t[35] - 4*t[36] - 
       (8*t[37])/3 + (14*t[38])/3 - 2*t[39] - (7*t[40])/3 - (2*t[41])/3 + 
       (2*t[42])/3 - 2*t[44] - (2*t[45])/3 + 2*t[46] + (4*t[47])/3 + 
       3*t[48] - (1027*t[49])/48 + (29*t[50])/3 + (907*t[51])/96 - 
       (11*t[52])/3 + (491*t[53])/48 + (23*t[54])/8 + (4*t[58])/3 - 
       (23*t[59])/6 + (137*t[60])/24 - (1217*t[61])/24 + (1627*t[62])/48 - 
       (2179*t[63])/48 + (765*t[64])/16 + (833*t[65])/24 + (2705*t[66])/72 + 
       2*t[69] + (2*t[70])/3 - (2*t[71])/3 + 4*t[72] + 4*t[73] + 2*t[74] - 
       3*t[75] - (62*t[76])/3 + (2*t[77])/3 + (71*t[78])/3 + 9*t[79] - 
       15*t[80] - (35*t[81])/6 - (19*t[82])/6 - (10*t[83])/3 + 
       (135*t[84])/8 + (23*t[85])/24 + t[86] + (929*t[87])/24 + 
       (507*t[88])/16 + (365*t[89])/16 - 4*t[95] - (32*t[96])/3 - 5*t[97] - 
       128*t[98] + 118*t[99] + 68*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*((-21*t[1])/4 - (5*t[2])/4 + (39*t[3])/4 - 
       (145*t[4])/2 + (15*t[5])/8 - (19*t[6])/8 + (19*t[7])/4 + (37*t[8])/4 - 
       (7*t[9])/8 - (45*t[10])/2 - (221*t[11])/8 + (599*t[12])/8 - 
       (1007*t[13])/72 - (695*t[14])/12 + (353*t[15])/48 - t[16] - 3*t[25] + 
       (13*t[26])/2 - 4*t[27] + 4*t[31] + t[34]/2 + (5*t[37])/2 - 4*t[38] + 
       t[40] - t[41]/4 + t[42]/4 - t[45] - t[46]/2 + 2*t[47] - (19*t[48])/8 - 
       (17*t[49])/4 - (11*t[50])/8 + 18*t[51] + (7*t[52])/8 + (103*t[53])/4 + 
       (179*t[54])/8 - t[58]/2 + (5*t[59])/4 - (485*t[60])/4 - 118*t[61] + 
       (371*t[62])/8 + (221*t[63])/8 + (631*t[64])/4 + (265*t[65])/6 + 
       (184*t[66])/3 + t[68] - 2*t[70] + 2*t[71] - 4*t[72] - 18*t[73] - 
       8*t[74] + 94*t[75] + (15*t[76])/2 - t[77] - 8*t[78] + 2*t[79] + 
       5*t[80] + 5*t[81] + 5*t[82] - 43*t[83] - (75*t[84])/2 - (65*t[85])/4 + 
       28*t[86] + (157*t[87])/4 + (35*t[88])/8 - 4*t[89] + 16*t[95] + 
       2*t[96] - t[97]/2 + 48*t[98] - 60*t[99] + 71*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      (3*t[1] - t[2]/2 - t[3] - (49*t[4])/2 + (3*t[5])/4 - (73*t[6])/4 - 
       7*t[7] - (57*t[8])/2 - 31*t[10] - 8*t[11] + 41*t[12] + (67*t[13])/2 - 
       (489*t[14])/8 + (287*t[15])/12 + t[25] - (9*t[26])/2 + 4*t[31] - 
       t[34] + 2*t[36] + t[37] + 4*t[38] - (7*t[39])/2 + 2*t[40] + t[41]/2 - 
       t[42]/2 - t[45] + (11*t[46])/2 + 2*t[47] - (13*t[48])/2 - 
       (35*t[49])/2 - (3*t[50])/2 + (221*t[51])/8 + (5*t[52])/2 + 
       (67*t[53])/2 + 27*t[54] - (5*t[59])/2 - 45*t[60] - (215*t[61])/2 + 
       89*t[62] - (175*t[63])/2 + (957*t[64])/8 + (671*t[65])/12 + 
       (187*t[66])/12 + 2*t[68] - 2*t[70] + 2*t[71] + 24*t[72] - 18*t[73] - 
       8*t[74] + 94*t[75] + 8*t[76] - 2*t[77] - 11*t[78] - 14*t[79] + 
       4*t[80] + (9*t[81])/2 - (23*t[82])/2 - 67*t[83] - (93*t[84])/4 - 
       (43*t[85])/2 - 16*t[86] + (19*t[87])/2 - (21*t[88])/2 + 
       (237*t[89])/8 + t[90] + 4*t[93] + 16*t[95] + 5*t[96] + t[97] + 
       48*t[98] - 60*t[99] + 71*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-15*t[3])/2 + (99*t[4])/4 - (147*t[5])/4 - 
       (45*t[6])/4 - 12*t[7] - 45*t[8] + (75*t[9])/4 + (675*t[10])/8 - 
       (141*t[11])/4 - (315*t[12])/8 - 29*t[13] + (673*t[14])/16 - 
       (43*t[15])/4 + 3*t[27] - 12*t[46] - (69*t[48])/4 + (261*t[49])/8 + 
       (39*t[50])/4 - (183*t[51])/16 - (39*t[52])/4 - (237*t[53])/8 - 
       (15*t[54])/2 - (45*t[60])/4 - (9*t[61])/4 - (345*t[62])/8 + 
       (513*t[63])/8 - (615*t[64])/8 - (119*t[65])/4 - (141*t[66])/4 - 
       6*t[72] + 9*t[76] - 12*t[79] + 6*t[81] - 12*t[82] + 30*t[83] - 
       (51*t[84])/4 + (21*t[85])/4 + 12*t[86] - (21*t[87])/4 - (21*t[88])/8 - 
       (147*t[89])/8 + 72*t[100]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((21*t[3])/2 + (9*t[4])/4 + (183*t[5])/4 + 
       (39*t[6])/4 - 12*t[7] + 21*t[8] - (129*t[9])/4 - (189*t[10])/8 - 
       (45*t[11])/4 + (165*t[12])/8 + (27*t[13])/2 - (143*t[14])/16 + 
       6*t[15] + 6*t[27] - 6*t[29] + (33*t[48])/4 - (63*t[49])/8 - 
       (27*t[50])/4 + (177*t[51])/16 + (27*t[52])/4 + (63*t[53])/8 + 
       (45*t[54])/2 + (87*t[60])/4 - (243*t[61])/4 + (687*t[62])/8 - 
       (111*t[63])/8 - (195*t[64])/8 - (65*t[65])/4 + (81*t[66])/4 - 
       3*t[72] + 9*t[76] + 12*t[79] - 6*t[81] + 24*t[82] - 24*t[83] - 
       (9*t[84])/4 - (21*t[85])/4 - 72*t[86] - (27*t[87])/4 - (27*t[88])/8 - 
       (123*t[89])/8 + 72*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - v]*((3*t[1])/4 - (35*t[2])/4 - t[3]/4 - 
       (65*t[4])/4 + (313*t[5])/16 - (83*t[6])/8 - (133*t[7])/4 + 
       (105*t[8])/4 - (817*t[9])/16 - (103*t[10])/8 - (41*t[11])/2 - 
       (81*t[12])/16 - (40*t[13])/9 - (3859*t[14])/96 + (221*t[15])/288 - 
       t[17]/2 - 2*t[18] + 2*t[19] - t[20] - 2*t[21] + 8*t[22] - t[23]/2 + 
       t[24] + 4*t[27] - 8*t[28] - (9*t[29])/2 + 3*t[31] + (17*t[32])/2 - 
       (15*t[33])/2 - (17*t[34])/2 + 9*t[35] + (5*t[37])/4 + (5*t[38])/2 - 
       4*t[39] + (7*t[40])/2 + (3*t[41])/4 - (3*t[42])/4 + (13*t[43])/8 - 
       (7*t[44])/2 + (25*t[45])/2 + (3*t[46])/2 - 5*t[47] + t[48]/8 - 
       (23*t[49])/2 - (107*t[50])/8 + (239*t[51])/32 + (71*t[52])/8 + 
       (19*t[53])/2 + (7*t[54])/2 + t[55]/4 + t[56] + 2*t[57] - (9*t[59])/4 - 
       11*t[60] - (351*t[61])/4 + (243*t[62])/16 - (1407*t[63])/16 + 
       (163*t[64])/2 - (21*t[65])/8 + (223*t[66])/8 + t[68] + 4*t[69] - 
       4*t[70] + 4*t[71] - (23*t[72])/2 - 3*t[74] - 3*t[75] - 8*t[76] + 
       (9*t[77])/2 + 13*t[78] + 12*t[79] - 7*t[81] - (9*t[82])/2 + 
       (3*t[83])/2 - (13*t[84])/8 - (19*t[85])/8 + (45*t[86])/2 + 
       (347*t[87])/8 + (355*t[88])/16 + (187*t[89])/8 - t[93] - 2*t[96] - 
       (5*t[97])/2 - 30*t[98] + 26*t[99] + 72*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      ((37*t[1])/4 - (25*t[2])/2 + (179*t[3])/8 + 13*t[4] + (37*t[5])/8 - 
       (123*t[6])/16 - 11*t[7] - (241*t[8])/4 - (135*t[9])/4 + (27*t[10])/2 - 
       (871*t[11])/16 - (71*t[12])/2 - (397*t[13])/16 - (1157*t[14])/24 - 
       (1177*t[15])/144 + t[17]/2 - t[19] - 7*t[20] + 4*t[21] + t[22]/2 - 
       t[23]/2 - t[24] - 4*t[25] - t[26]/2 + (3*t[27])/2 - 4*t[28] + 
       4*t[29] + 10*t[30] + 3*t[31] - (3*t[32])/2 + (3*t[33])/2 - 9*t[34] + 
       2*t[36] + t[37] + 8*t[38] - (9*t[39])/2 + 8*t[40] - 3*t[41] + 
       4*t[42] - (21*t[43])/4 + (29*t[44])/4 + 13*t[45] - t[46] - 
       (41*t[47])/2 - (71*t[48])/16 - (13*t[49])/8 + (29*t[50])/16 + 
       (9*t[51])/16 - (141*t[52])/16 + (19*t[53])/8 - (39*t[54])/16 + 
       2*t[57] - t[58]/2 - (7*t[59])/2 - (255*t[60])/8 - (627*t[61])/8 + 
       (791*t[62])/16 - (107*t[63])/16 - (293*t[64])/8 - (33*t[65])/4 + 
       (371*t[66])/4 - t[68] + 4*t[69] - 4*t[70] + 4*t[71] - 11*t[72] + 
       8*t[73] - 3*t[74] - 15*t[75] - (19*t[76])/2 - 2*t[77] + (15*t[78])/2 + 
       6*t[79] - (95*t[80])/2 - (17*t[81])/2 - (9*t[82])/2 - 9*t[83] - 
       (17*t[84])/4 + (33*t[85])/4 - 4*t[86] + (101*t[87])/4 + 
       (101*t[88])/8 + (287*t[89])/16 - t[93] - 2*t[97] - 30*t[98] + 
       26*t[99] + 72*t[100]) + HPL[{1}, 1 - u]^2*Qep[w, v, u]*
      ((-536*t[4])/9 + (2*t[5])/9 - (4*t[7])/9 - (4*t[8])/9 - (2*t[9])/9 - 
       (1012*t[10])/9 + (164*t[11])/9 + (950*t[12])/9 + (1240*t[13])/27 - 
       (2867*t[14])/27 + (101*t[15])/3 - 16*t[36] - (160*t[49])/9 + 
       (179*t[51])/3 + (304*t[53])/9 + 68*t[54] - (656*t[60])/9 - 
       (656*t[61])/3 + (454*t[62])/9 - (1046*t[63])/9 + (2560*t[64])/9 - 
       (1492*t[65])/27 - (1324*t[66])/27 + (32*t[69])/3 + 16*t[73] + 
       (80*t[75])/3 - 16*t[79] - (320*t[83])/9 - 68*t[84] - 68*t[85] - 
       (16*t[86])/9 - (448*t[87])/9 - (224*t[88])/9 - (152*t[89])/3 + 
       (224*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]^2*
      ((11*t[1])/4 + (7*t[2])/4 + t[3]/2 - (177*t[4])/8 - (269*t[5])/16 - 
       (115*t[6])/16 - (109*t[7])/4 - (105*t[8])/4 - (11*t[9])/16 + 
       (1001*t[10])/16 - (885*t[11])/16 - 40*t[12] - (253*t[13])/6 + 
       (291*t[14])/32 - (371*t[15])/96 + t[16]/4 - (15*t[25])/2 + 3*t[26] + 
       2*t[27] + 3*t[29] + t[34]/2 - (13*t[36])/2 - (11*t[37])/2 + 3*t[38] + 
       2*t[39] - t[41]/4 + t[42]/4 - (13*t[44])/2 + t[45] - 4*t[46] - 
       2*t[47] - (107*t[48])/16 + (367*t[49])/16 + (157*t[50])/16 - 
       (189*t[51])/32 - (133*t[52])/16 - (223*t[53])/16 + (93*t[54])/16 - 
       (13*t[59])/3 - (301*t[60])/4 - (253*t[61])/8 + (55*t[62])/4 + 
       (223*t[63])/2 - (147*t[64])/16 - (137*t[65])/24 + (1193*t[66])/24 - 
       (3*t[67])/4 + t[69] + 4*t[70] - 4*t[71] - 4*t[72] - 2*t[73] - 
       t[74]/2 - 3*t[75] + 10*t[76] - t[77] - (3*t[78])/2 - 15*t[79] + 
       t[80] + (33*t[81])/4 - (21*t[82])/4 + 37*t[83] - (197*t[84])/8 - 
       4*t[85] - 9*t[86] + 19*t[87] + 2*t[88] - (355*t[89])/16 + 4*t[95] + 
       2*t[96] - (3*t[97])/2 + 24*t[98] - 12*t[99] + 75*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]^2*((11*t[1])/4 + (5*t[2])/4 + 
       (5*t[3])/4 - (103*t[4])/8 + (57*t[5])/4 + (65*t[6])/8 - (7*t[7])/2 + 
       (37*t[8])/2 + (5*t[9])/4 - (447*t[10])/16 - (127*t[11])/8 + 
       (169*t[12])/16 - (19*t[13])/18 + (67*t[14])/32 - (59*t[15])/48 - 
       t[19] - 3*t[25] + (3*t[26])/2 + 4*t[27] - 4*t[29] - t[34]/2 - 
       3*t[36] + 2*t[37] + 2*t[38] + (5*t[39])/2 - t[40] + t[41]/4 - 
       t[42]/4 - (13*t[43])/4 - (11*t[45])/2 - (7*t[46])/2 + 11*t[47] + 
       (103*t[48])/8 + (39*t[49])/16 - (41*t[50])/8 + (199*t[51])/32 + 
       (61*t[52])/8 + (89*t[53])/16 + (59*t[54])/2 - t[59] - (93*t[60])/8 - 
       (81*t[61])/2 + (1305*t[62])/16 + (767*t[63])/16 - (137*t[64])/8 - 
       (637*t[65])/24 + (217*t[66])/24 - 2*t[70] + 2*t[71] - 2*t[72] - 
       2*t[73] - t[74] - 3*t[75] + (21*t[76])/2 - (9*t[78])/2 + 4*t[79] - 
       3*t[81] + 19*t[82] - 10*t[83] - (115*t[84])/8 - (123*t[85])/8 - 
       70*t[86] + (7*t[87])/8 - (113*t[88])/16 - (69*t[89])/4 + 4*t[95] + 
       5*t[96] - t[97]/2 + 24*t[98] - 12*t[99] + 75*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((79*t[1])/9 + t[2]/3 - (71*t[3])/6 - (2201*t[4])/72 - (365*t[5])/144 + 
       (295*t[6])/24 + (407*t[7])/72 + (2543*t[8])/72 + (1589*t[9])/144 + 
       (6097*t[10])/144 - (1807*t[11])/36 - (859*t[12])/72 - 
       (1933*t[13])/72 + (6239*t[14])/288 - (17*t[15])/32 - 4*t[25] + 
       (2*t[26])/9 - (2*t[27])/3 + 2*t[29] + (2*t[31])/3 + 2*t[32] - 
       2*t[33] - (10*t[34])/3 + (301*t[36])/18 - (4*t[37])/3 + (52*t[38])/9 + 
       t[39] - (14*t[40])/3 + (5*t[41])/3 - (5*t[42])/3 + 2*t[44] - 
       (4*t[45])/3 - (11*t[46])/8 + (14*t[47])/3 + (175*t[48])/24 + 
       (2275*t[49])/144 - (43*t[50])/8 - (725*t[51])/96 + (91*t[52])/8 - 
       (205*t[53])/144 + (250*t[54])/9 + (2*t[58])/3 - (17*t[59])/9 - 
       (4079*t[60])/72 - (457*t[61])/72 + (2317*t[62])/144 + 
       (8053*t[63])/144 - (1919*t[64])/48 - (4747*t[65])/216 - 
       (199*t[66])/72 - (13*t[69])/3 - (8*t[70])/3 + (8*t[71])/3 - 6*t[72] - 
       (37*t[73])/6 - (77*t[74])/9 + (29*t[75])/6 + (17*t[76])/3 + 
       (4*t[77])/3 - (35*t[78])/3 + (37*t[79])/6 + 2*t[80] - (25*t[81])/18 + 
       (7*t[82])/18 - (109*t[83])/9 - (2417*t[84])/72 - (1943*t[85])/72 - 
       (721*t[86])/18 + (599*t[87])/24 - (179*t[88])/144 + (323*t[89])/144 + 
       (82*t[95])/9 + (32*t[96])/3 + 2*t[97] + 32*t[98] - 32*t[99] + 
       (467*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((5*t[1])/3 - (1235*t[4])/12 - 
       (25*t[5])/12 - 5*t[6] - (35*t[7])/6 - (35*t[8])/6 + (25*t[9])/12 - 
       (385*t[10])/12 - (635*t[11])/12 + (415*t[12])/6 - (5*t[13])/9 - 
       (285*t[14])/4 + (565*t[15])/24 - (5*t[26])/3 + (10*t[36])/3 + 
       (5*t[38])/3 + 5*t[46] - 5*t[48] - (205*t[49])/12 - 5*t[50] + 
       30*t[51] + 5*t[52] + (385*t[53])/12 + (605*t[54])/12 - (5*t[59])/6 - 
       (365*t[60])/3 - (355*t[61])/3 + (335*t[62])/3 - (5*t[63])/6 + 
       (695*t[64])/4 + (3695*t[65])/36 + (345*t[66])/4 + 10*t[73] - 
       (40*t[74])/3 + 50*t[75] - 10*t[79] + (20*t[81])/3 - (20*t[82])/3 - 
       (200*t[83])/3 - (545*t[84])/12 - (425*t[85])/12 - (70*t[86])/3 + 
       (305*t[87])/4 + (655*t[88])/24 + (40*t[89])/3 + (80*t[95])/3 + 
       80*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-85*t[1])/36 + (997*t[2])/72 + (131*t[3])/36 - 
       (11339*t[4])/288 - (491*t[5])/24 + (6697*t[6])/144 - t[7]/4 + 
       (527*t[8])/12 + (91*t[9])/12 - (16195*t[10])/576 - (4573*t[11])/72 + 
       (7865*t[12])/576 - (3031*t[13])/96 - (115655*t[14])/3456 + 
       (139*t[15])/576 - (13*t[25])/9 + (71*t[26])/9 - (5*t[27])/9 - 
       (17*t[28])/6 + t[29] - t[30]/3 - (10*t[31])/9 + t[32] - t[33] + 
       (16*t[34])/9 + (5*t[35])/3 - (19*t[36])/6 - (103*t[37])/18 - 
       (107*t[38])/18 - (16*t[39])/9 - (37*t[40])/9 - (8*t[41])/9 + 
       (8*t[42])/9 - t[43]/6 + (5*t[44])/6 + (23*t[45])/18 - (23*t[46])/18 - 
       (14*t[47])/9 + (815*t[48])/48 - (1033*t[49])/64 + (1031*t[50])/48 + 
       (2459*t[51])/1152 - (151*t[52])/48 + (1859*t[53])/192 + 
       (427*t[54])/32 + (25*t[58])/9 - (10*t[59])/9 - (17785*t[60])/288 - 
       (24569*t[61])/288 + (70349*t[62])/576 + (3227*t[63])/576 + 
       (6935*t[64])/576 + (86335*t[65])/864 + (136253*t[66])/864 - t[69] - 
       (16*t[70])/9 + (16*t[71])/9 - (34*t[72])/9 + 8*t[73] + t[74]/3 - 
       12*t[75] - (551*t[76])/18 - (103*t[77])/18 + (320*t[78])/9 + 
       12*t[79] - (298*t[80])/9 - (91*t[81])/6 + (163*t[82])/18 - 
       (209*t[83])/18 + (6151*t[84])/288 + (3895*t[85])/288 - (8*t[86])/3 + 
       (24029*t[87])/288 + (7423*t[88])/192 + (21481*t[89])/576 - 5*t[95] - 
       (116*t[96])/9 - (71*t[97])/6 - (524*t[98])/3 + 190*t[99] + 
       (161*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(4*t[1] + (13*t[3])/4 + (53*t[4])/2 - 
       (55*t[5])/8 - (71*t[6])/8 - (27*t[7])/4 - (117*t[8])/4 - (63*t[9])/8 + 
       (147*t[10])/4 - (33*t[11])/8 - (237*t[12])/8 - (67*t[13])/8 + 
       (65*t[14])/12 - (427*t[15])/48 + 2*t[25] - 4*t[26] + t[27] - 4*t[36] + 
       2*t[38] - 6*t[46] - (63*t[48])/8 + 22*t[49] + (69*t[50])/8 - 
       (19*t[51])/4 - (69*t[52])/8 - (47*t[53])/2 - (133*t[54])/8 - 2*t[59] - 
       (9*t[60])/4 - (187*t[61])/4 - (305*t[62])/8 + (69*t[63])/8 + 
       (565*t[64])/8 - (283*t[65])/12 + t[66]/4 - 4*t[69] - 2*t[72] + 
       4*t[75] + 3*t[76] - 4*t[79] - 4*t[80] + 4*t[81] - 6*t[82] + 12*t[83] - 
       t[84]/4 + (29*t[85])/4 + 20*t[86] - (13*t[87])/4 - (13*t[88])/8 + 
       (9*t[89])/8 - 24*t[99] + 81*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*(7*t[3] + 13*t[4] + 24*t[5] + 
       (9*t[6])/4 - (9*t[7])/2 - t[8]/2 - 20*t[9] + (33*t[10])/2 - 
       (13*t[11])/4 + t[12] + 4*t[13] - (287*t[14])/24 + (5*t[15])/12 - 
       2*t[25] + 2*t[26] + 2*t[27] - 2*t[29] - 2*t[36] + t[46] - 
       (5*t[48])/4 + 5*t[49] + (11*t[50])/4 + (3*t[51])/8 - (11*t[52])/4 - 
       (13*t[53])/2 - (25*t[54])/4 + (35*t[60])/2 - 46*t[61] + 7*t[62] - 
       26*t[63] + (167*t[64])/4 - (83*t[65])/6 + (61*t[66])/2 + t[69] - 
       t[72] + 2*t[75] + 3*t[76] + 4*t[79] - 2*t[80] - t[81] + 7*t[82] - 
       t[83]/2 + (11*t[84])/2 + 6*t[85] - 10*t[86] - (19*t[87])/2 - 
       (19*t[88])/4 + (15*t[89])/4 - 24*t[99] + 81*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((41*t[1])/6 + (11*t[2])/6 + (4*t[3])/3 - (229*t[4])/24 + (71*t[5])/2 + 
       (32*t[6])/3 - 4*t[7] + 51*t[8] + (7*t[10])/48 + (137*t[11])/12 + 
       (355*t[12])/48 + (1267*t[13])/72 - (2401*t[14])/288 - 
       (865*t[15])/144 - (14*t[25])/3 - (5*t[26])/3 + (14*t[27])/3 - 
       2*t[28] - 4*t[29] - 6*t[30] - (20*t[31])/3 - t[34]/3 + 4*t[35] - 
       2*t[36] + (26*t[37])/3 + (19*t[38])/3 + (10*t[39])/3 - (5*t[40])/3 + 
       t[41]/6 - t[42]/6 - 3*t[43] + (2*t[45])/3 - (2*t[46])/3 - 
       (4*t[47])/3 + 14*t[48] + (31*t[49])/16 - 4*t[50] + (1357*t[51])/96 + 
       9*t[52] + (97*t[53])/16 + (185*t[54])/8 - t[58]/3 - (11*t[59])/3 + 
       (373*t[60])/24 - (2203*t[61])/24 + (715*t[62])/48 - (2723*t[63])/48 + 
       (6985*t[64])/48 - (2047*t[65])/72 - (4901*t[66])/72 + t[69] - 
       (14*t[70])/3 + (14*t[71])/3 + (4*t[72])/3 + 8*t[73] - 4*t[74] - 
       4*t[75] + (64*t[76])/3 + (2*t[77])/3 - (32*t[78])/3 + 8*t[79] - 
       (32*t[80])/3 + 18*t[81] + (25*t[82])/3 - (43*t[83])/6 + 
       (65*t[84])/24 + (113*t[85])/24 - 30*t[86] + (223*t[87])/24 - 
       (155*t[88])/16 - (325*t[89])/48 + 8*t[95] + (14*t[96])/3 - 2*t[97] + 
       56*t[98] - 80*t[99] + 85*t[100]) + HPL[{1}, 1 - v]^2*Qep[u, w, v]*
      ((-16*t[1])/9 + (64*t[3])/9 + (304*t[4])/9 + (140*t[5])/9 - 
       (14*t[6])/3 - 12*t[7] - (236*t[8])/9 - (68*t[9])/3 + 80*t[10] - 
       (490*t[11])/9 + (40*t[12])/9 - (2108*t[13])/27 - (358*t[14])/27 + 
       (202*t[15])/27 - (128*t[25])/9 + 16*t[26] + (16*t[37])/3 - 
       (16*t[38])/9 - (136*t[46])/3 - (14*t[48])/3 + (736*t[49])/9 + 
       (86*t[50])/9 + (302*t[51])/9 - (86*t[52])/9 - (280*t[53])/9 - 
       (50*t[54])/9 + (40*t[59])/3 - (4*t[60])/3 - (776*t[61])/9 + 
       (134*t[62])/3 + (542*t[63])/9 - (1268*t[64])/9 - (236*t[65])/9 + 
       (1708*t[66])/9 + (64*t[69])/3 - (32*t[70])/3 + (32*t[71])/3 + 
       16*t[73] - (16*t[74])/3 + (80*t[75])/3 - (16*t[79])/3 - 8*t[81] + 
       8*t[82] - (352*t[83])/9 - (100*t[84])/9 - (80*t[85])/9 - 
       (176*t[86])/9 - 76*t[87] - 38*t[88] - 54*t[89] + (256*t[100])/3) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v]*((51*t[1])/2 - 6*t[2] + 
       (21*t[3])/2 - (147*t[4])/2 + (103*t[5])/8 - (229*t[6])/4 + 
       (85*t[7])/2 + (55*t[8])/2 + (371*t[9])/8 + (25*t[10])/4 - 
       (73*t[11])/2 - (825*t[12])/8 - (33*t[13])/4 + (172*t[14])/3 + 
       (71*t[15])/144 + 4*t[16] + 4*t[18] - 4*t[19] - 8*t[20] + 4*t[22] - 
       11*t[25] + t[26]/2 + 2*t[27] - 6*t[28] + 7*t[29] - 9*t[30] - 7*t[31] - 
       11*t[32] - 4*t[33] + 3*t[34] + 12*t[35] + 26*t[36] + 12*t[38] + 
       6*t[39] + 6*t[40] - (3*t[41])/2 + (7*t[42])/2 - (49*t[43])/4 - 
       (3*t[44])/2 - (15*t[45])/2 + 9*t[46] + 21*t[47] + (35*t[48])/4 + 
       (261*t[49])/4 - (69*t[50])/4 - (277*t[51])/8 - (15*t[52])/4 - 
       (179*t[53])/4 + (315*t[54])/4 + 2*t[55] - (7*t[58])/2 + t[59] - 
       (703*t[60])/4 - (53*t[61])/4 - (755*t[62])/8 + (243*t[63])/8 + 
       (339*t[64])/8 + (637*t[65])/4 - (311*t[66])/4 - 2*t[67] - 8*t[68] - 
       20*t[70] + 20*t[71] + 9*t[72] - 12*t[73] - 22*t[74] + 12*t[75] + 
       51*t[76] - 5*t[77] - 28*t[78] - 24*t[79] + 48*t[80] + 12*t[81] + 
       (11*t[82])/2 + 15*t[83] - (201*t[84])/4 - (107*t[85])/4 + 62*t[86] - 
       (291*t[87])/4 - (759*t[88])/8 + (15*t[89])/8 - 2*t[92] + 2*t[94] + 
       28*t[95] + 33*t[96] + 6*t[97] + 480*t[98] - 564*t[99] + 90*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((37*t[1])/2 - (31*t[2])/2 + (119*t[3])/2 - (153*t[4])/4 + 
       (49*t[5])/8 - (943*t[6])/8 + 33*t[7] - 108*t[8] + (303*t[9])/8 + 
       (213*t[10])/8 - (183*t[11])/8 - 2*t[12] + (637*t[13])/36 - 
       (2521*t[14])/48 - (3727*t[15])/144 + 4*t[18] - t[19] + 8*t[20] + 
       8*t[21] - 8*t[23] + 8*t[24] - 8*t[25] - (19*t[26])/2 + 14*t[27] + 
       6*t[28] + 7*t[29] + 3*t[30] - 2*t[31] - 7*t[32] + 2*t[34] - 12*t[35] + 
       12*t[36] + 23*t[37] + 16*t[38] - (35*t[39])/2 + 21*t[40] + t[41] + 
       t[42] - (25*t[43])/4 - (21*t[44])/2 - (23*t[45])/2 + 7*t[46] + 
       29*t[47] - (237*t[48])/8 + (171*t[49])/8 - (165*t[50])/8 + 
       (141*t[51])/16 - (91*t[52])/8 + (161*t[53])/8 + (375*t[54])/8 - 
       (7*t[58])/2 - 14*t[59] - 186*t[60] - (439*t[61])/2 + (197*t[62])/8 + 
       (603*t[63])/8 + (553*t[64])/2 - (467*t[65])/4 - (1187*t[66])/6 - 
       4*t[69] - 18*t[70] + 18*t[71] + 8*t[72] - 12*t[73] - 12*t[74] + 
       12*t[75] + (105*t[76])/2 - 17*t[77] - 72*t[78] + 59*t[80] + 
       (13*t[81])/2 + 9*t[82] + 16*t[83] - (415*t[84])/4 - (57*t[85])/4 + 
       58*t[86] - (357*t[87])/4 - (841*t[88])/8 - 90*t[89] + 2*t[92] - 
       2*t[94] + 28*t[95] + 36*t[96] + 7*t[97] + 480*t[98] - 564*t[99] + 
       90*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-35*t[1])/2 + 8*t[2] - (23*t[3])/4 - 
       (689*t[4])/8 - (31*t[5])/8 - 36*t[6] + 13*t[7] - (29*t[8])/2 + 
       (181*t[9])/8 - (485*t[10])/16 - (187*t[11])/2 + (185*t[12])/16 - 
       (995*t[13])/18 - (937*t[14])/96 + (215*t[15])/12 - 6*t[25] + 
       19*t[26] - 4*t[27] - 3*t[28] - 3*t[29] + 7*t[31] - 3*t[32] + 3*t[33] + 
       t[34] + 12*t[35] + 12*t[36] + 7*t[37] - (29*t[38])/2 - (3*t[39])/2 + 
       2*t[40] - t[41]/2 + t[42]/2 + 12*t[44] + t[45] + 9*t[46] - 5*t[47] + 
       (281*t[49])/16 + (7*t[50])/2 - (215*t[51])/32 - t[52]/2 + 
       (167*t[53])/16 + (423*t[54])/8 - 2*t[58] + 5*t[59] - (1063*t[60])/8 - 
       (839*t[61])/8 + (601*t[62])/16 + (2063*t[63])/16 + (585*t[64])/16 + 
       (45*t[65])/8 + (1337*t[66])/24 - 6*t[69] - 4*t[70] + 4*t[71] - 
       18*t[72] - 12*t[73] - 6*t[74] + 18*t[75] + 13*t[76] - 7*t[77] - 
       7*t[78] - 36*t[79] + 6*t[80] + 5*t[81] + t[82] + 11*t[83] - 
       (315*t[84])/8 + (17*t[85])/8 + 24*t[86] - (229*t[87])/8 - 
       (981*t[88])/16 - (165*t[89])/16 + 18*t[95] + 13*t[96] - 3*t[97] + 
       120*t[98] - 108*t[99] + 90*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((13*t[1])/3 + (13*t[2])/3 - 
       (35*t[3])/6 + (155*t[4])/24 - (791*t[5])/24 + (205*t[6])/8 - 
       (5*t[7])/6 - (13*t[8])/6 + (443*t[9])/24 + (143*t[10])/48 - 
       (65*t[11])/24 + (301*t[12])/48 + (3353*t[13])/216 - (2717*t[14])/288 - 
       (209*t[15])/36 + 2*t[25] - (16*t[26])/3 + (10*t[27])/3 + 4*t[28] + 
       2*t[30] + (2*t[31])/3 + (5*t[34])/3 - 4*t[35] - 7*t[36] - 
       (7*t[37])/3 + (10*t[38])/3 - t[39] - (17*t[40])/3 - (5*t[41])/6 + 
       (5*t[42])/6 + t[43] - 4*t[44] - (7*t[45])/3 + (14*t[47])/3 - 
       (11*t[48])/8 - (1451*t[49])/48 + (191*t[50])/24 + (1457*t[51])/96 - 
       (71*t[52])/24 + (715*t[53])/48 + 3*t[54] + (5*t[58])/3 - 
       (19*t[59])/6 + (619*t[60])/24 - (1033*t[61])/24 + (509*t[62])/48 - 
       (4541*t[63])/48 + (565*t[64])/16 + (163*t[65])/24 - (2057*t[66])/72 + 
       2*t[69] + (4*t[70])/3 - (4*t[71])/3 - 2*t[72] + 4*t[73] + 5*t[74] - 
       (64*t[76])/3 + (13*t[77])/3 + (88*t[78])/3 - 10*t[80] - (13*t[81])/6 - 
       (89*t[82])/6 - (8*t[83])/3 + (139*t[84])/8 + (115*t[85])/24 + 
       2*t[86] + (853*t[87])/24 + (551*t[88])/16 + (495*t[89])/16 - 6*t[95] - 
       (34*t[96])/3 - 5*t[97] - 136*t[98] + 132*t[99] + 90*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*(-24*t[1] - 3*t[2] + 
       13*t[3] - 74*t[4] + (13*t[5])/2 - (33*t[6])/4 - 17*t[7] - 43*t[8] - 
       (29*t[9])/2 + 92*t[10] - (65*t[11])/4 + 98*t[12] + (185*t[13])/9 - 
       (85*t[14])/3 + (55*t[15])/4 - 4*t[16] + 18*t[25] + 34*t[26] - 
       4*t[27] + 4*t[28] - 16*t[35] - 4*t[36] - 24*t[38] + 6*t[39] + 
       24*t[40] + 16*t[45] - 33*t[46] - 32*t[47] - (41*t[48])/4 - 21*t[49] + 
       (47*t[50])/4 + (121*t[51])/4 - (47*t[52])/4 + 41*t[53] + 
       (65*t[54])/4 + 12*t[59] - (211*t[60])/2 - 56*t[61] + (159*t[62])/4 + 
       (941*t[63])/4 + 137*t[64] - 18*t[65] - (8*t[66])/3 + 2*t[68] - 
       8*t[72] - 8*t[73] - 4*t[74] + 44*t[75] + 8*t[76] - 24*t[77] - 
       8*t[78] + 20*t[79] - 32*t[80] - 5*t[81] + 9*t[82] + 2*t[83] - 
       17*t[84] - (65*t[85])/2 - 56*t[86] + (125*t[87])/2 + (125*t[88])/4 - 
       25*t[89] - t[91]/3 + 2*t[93] - 240*t[98] + 288*t[99] + 92*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*(22*t[1] - 3*t[2] - 
       92*t[4] + (37*t[5])/2 + (243*t[6])/4 + 25*t[7] + 49*t[8] - 
       (27*t[9])/2 - 73*t[10] - (9*t[11])/4 - 4*t[12] - (281*t[13])/18 - 
       (141*t[14])/2 + (55*t[15])/4 - 2*t[16] - 22*t[25] - 14*t[26] - 
       24*t[27] + 4*t[28] - 4*t[31] - 4*t[36] - 16*t[37] + 8*t[38] - 
       10*t[39] - 16*t[45] + 27*t[46] + 32*t[47] + (79*t[48])/4 - 14*t[49] + 
       (15*t[50])/4 + (31*t[51])/4 - (15*t[52])/4 + 34*t[53] + (97*t[54])/4 + 
       10*t[59] - (159*t[60])/2 + 20*t[61] + (27*t[62])/4 - (259*t[63])/4 + 
       88*t[64] + (623*t[65])/3 + 111*t[66] + 26*t[68] + 12*t[72] - 8*t[73] + 
       44*t[75] - 48*t[76] + 56*t[78] - 8*t[79] + 64*t[80] + 25*t[81] - 
       5*t[82] + 6*t[83] - 4*t[84] - (109*t[85])/2 + 44*t[86] + 
       (221*t[87])/2 + (221*t[88])/4 + 13*t[89] + t[91]/3 + 2*t[93] - 
       240*t[98] + 288*t[99] + 92*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - u]*((-27*t[1])/4 - 18*t[2] + (1397*t[3])/48 - 
       (421*t[4])/8 - (15577*t[5])/96 - (479*t[6])/6 - (1459*t[7])/48 - 
       (6869*t[8])/48 + (18421*t[9])/96 - (3089*t[10])/24 + (40*t[11])/3 + 
       (20231*t[12])/96 + (31897*t[13])/288 - (12503*t[14])/48 - 
       (47615*t[15])/576 - 6*t[19] + 6*t[20] + 6*t[21] - 2*t[22] - 6*t[23] + 
       7*t[25] - (13*t[26])/2 + 3*t[29] - 3*t[30] - 15*t[31] + t[32]/3 - 
       t[33]/3 - (31*t[34])/6 - 3*t[35] - 10*t[36] + 18*t[37] - 
       (25*t[38])/12 + (109*t[39])/12 + (32*t[40])/3 - (7*t[41])/12 + 
       (7*t[42])/12 - (647*t[43])/12 + 6*t[44] - (229*t[45])/6 + 
       (67*t[46])/3 + 99*t[47] - (341*t[48])/48 - (3739*t[49])/48 + 
       (451*t[50])/48 + (2403*t[51])/32 - (1019*t[52])/48 + (4255*t[53])/48 + 
       (2015*t[54])/48 - t[58] - (19*t[59])/12 - (1283*t[60])/6 - 203*t[61] + 
       (1513*t[62])/8 - (2269*t[63])/24 + (1129*t[64])/3 + (891*t[65])/8 - 
       (8909*t[66])/72 - 6*t[68] + (3*t[69])/2 - 5*t[70] + 5*t[71] - 
       (3*t[72])/2 + 21*t[73] - (14*t[74])/3 + 3*t[75] + (32*t[76])/3 + 
       (25*t[77])/6 - (68*t[78])/3 - 6*t[79] - 138*t[80] + (31*t[81])/3 + 
       (25*t[82])/3 + (21*t[83])/4 - 53*t[84] - (85*t[85])/6 - 
       (581*t[86])/3 + (227*t[87])/6 + (89*t[88])/12 + (161*t[89])/24 + 
       16*t[95] - (7*t[96])/2 - (22*t[97])/3 + 116*t[98] - 98*t[99] + 
       101*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*((161*t[1])/24 - (689*t[2])/24 + 
       (871*t[3])/24 - (3547*t[4])/24 + (158*t[5])/3 + (6251*t[6])/96 - 
       (6181*t[7])/24 + (3745*t[8])/8 - (11755*t[9])/48 + (6155*t[10])/48 - 
       (4325*t[11])/32 - (1645*t[12])/48 - (12829*t[13])/108 - 
       (9881*t[14])/144 + (1285*t[15])/32 + (3*t[16])/2 - (7*t[19])/2 - 
       6*t[20] - 6*t[21] + 6*t[22] + 6*t[23] - (31*t[25])/2 + (59*t[26])/4 + 
       (9*t[27])/2 + 6*t[28] + (119*t[29])/3 + 8*t[30] + 6*t[31] - 
       (10*t[32])/3 + (8*t[33])/3 - (223*t[34])/12 + 3*t[35] + 8*t[36] - 
       (9*t[37])/2 + (23*t[38])/3 + (37*t[39])/3 - (15*t[40])/2 + 
       (9*t[41])/8 - (9*t[42])/8 + 3*t[43] - (237*t[44])/2 + 11*t[45] - 
       (107*t[46])/12 - 10*t[47] + (13949*t[48])/96 + (959*t[49])/16 - 
       (12283*t[50])/96 - (591*t[51])/32 + (12307*t[52])/96 - 
       (371*t[53])/16 + (10315*t[54])/96 + (5*t[58])/4 - (31*t[59])/8 - 
       (23405*t[60])/48 + (199*t[61])/48 + (23075*t[62])/96 + 
       (11621*t[63])/96 + (15685*t[64])/32 + (50723*t[65])/144 + 
       (22619*t[66])/48 + 6*t[68] - 2*t[70] + 2*t[71] + 6*t[72] + 36*t[73] - 
       (73*t[74])/3 + 12*t[75] - (47*t[76])/4 + (31*t[77])/3 - (95*t[78])/6 + 
       12*t[79] - (55*t[80])/6 - (433*t[81])/12 + (185*t[82])/12 - 42*t[83] - 
       (5137*t[84])/48 - (4513*t[85])/48 - 19*t[86] + (6739*t[87])/48 + 
       (5587*t[88])/96 + (9925*t[89])/96 + (56*t[95])/3 + 20*t[96] + 
       (41*t[97])/12 + 116*t[98] - 98*t[99] + 101*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-5*t[1])/4 - t[2] + (21*t[3])/2 - (393*t[4])/16 + (111*t[5])/16 - 
       (471*t[6])/16 - (9*t[7])/2 - (9*t[8])/2 - (47*t[9])/16 + 
       (119*t[10])/32 + (133*t[11])/16 - (439*t[12])/32 + (4853*t[13])/144 - 
       (3737*t[14])/192 + (11*t[15])/48 + t[16]/2 + 2*t[25] - (7*t[26])/2 - 
       4*t[27] - 6*t[28] - 6*t[30] - 5*t[31] + t[34] + 9*t[35] - 
       (7*t[36])/2 - (25*t[37])/2 - 4*t[38] - 6*t[39] + 5*t[40] - t[41]/2 + 
       t[42]/2 - 3*t[43] + 3*t[44] - (13*t[45])/2 + (35*t[46])/2 + 13*t[47] - 
       (123*t[48])/16 + (237*t[49])/32 - (123*t[50])/16 - (651*t[51])/64 + 
       (27*t[52])/16 - (13*t[53])/32 + (187*t[54])/8 - 2*t[58] - 
       (23*t[59])/4 - (521*t[60])/16 - (609*t[61])/16 - (363*t[62])/32 - 
       (1837*t[63])/32 + (583*t[64])/32 + (1457*t[65])/48 - (3569*t[66])/48 - 
       2*t[67] - 3*t[69] + 11*t[70] - 11*t[71] + 3*t[72] + 34*t[73] + 
       (35*t[74])/2 - 58*t[75] + 10*t[76] - (11*t[77])/2 - 7*t[78] - 
       4*t[79] + 24*t[80] - (9*t[81])/4 + (21*t[82])/4 - (25*t[83])/2 - 
       (263*t[84])/16 + (51*t[85])/16 + 19*t[86] - (387*t[87])/16 - 
       (595*t[88])/32 - (719*t[89])/32 + 9*t[95] + 4*t[96] + (3*t[97])/2 + 
       84*t[98] - 114*t[99] + 102*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*(8*t[1] - (13*t[2])/4 - 
       (15*t[3])/4 - (537*t[4])/16 + (337*t[5])/16 - (269*t[6])/16 + 
       (13*t[7])/4 - (61*t[8])/4 - (389*t[9])/16 + (697*t[10])/32 - 
       (267*t[11])/16 + (387*t[12])/32 + (379*t[13])/48 - (3279*t[14])/64 + 
       (1075*t[15])/48 - t[25] - 4*t[26] + 4*t[27] + 6*t[28] + 2*t[31] - 
       (7*t[34])/2 - 9*t[35] + (13*t[36])/2 + (17*t[37])/2 + (13*t[38])/2 - 
       t[39] - 4*t[40] + (7*t[41])/4 - (7*t[42])/4 - 6*t[44] - t[45]/2 - 
       (7*t[46])/2 + t[47] - (45*t[48])/16 + (119*t[49])/32 + (11*t[50])/16 + 
       (669*t[51])/64 - (35*t[52])/16 + (361*t[53])/32 + (5*t[54])/2 - 
       t[58]/2 - t[59] - (1079*t[60])/16 - (1413*t[61])/16 + (681*t[62])/32 - 
       (273*t[63])/32 + (2827*t[64])/32 + (193*t[65])/48 + (3083*t[66])/48 - 
       t[70] + t[71] + 8*t[72] + 34*t[73] + (3*t[74])/2 - 49*t[75] + 
       11*t[76] + (11*t[77])/2 - (35*t[78])/2 + 5*t[79] + 8*t[80] - 
       (55*t[81])/4 + (45*t[82])/4 - 31*t[83] - (587*t[84])/16 - 
       (489*t[85])/16 - 22*t[86] - (127*t[87])/16 - (335*t[88])/32 + 
       (491*t[89])/32 + 9*t[95] + 13*t[96] + 6*t[97] + 84*t[98] - 114*t[99] + 
       102*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*(t[1]/12 - (125*t[2])/6 - (283*t[3])/8 - 
       (545*t[4])/8 + (169*t[5])/6 - (3035*t[6])/48 + (53*t[7])/4 + 
       (319*t[8])/6 - (97*t[9])/8 + (1835*t[10])/48 - (581*t[11])/48 - 
       (281*t[12])/48 - (1421*t[13])/108 + (24905*t[14])/288 + 
       (1501*t[15])/48 - (7*t[16])/6 - t[18]/3 - (8*t[19])/3 - t[20] + 
       (4*t[21])/3 + (11*t[22])/3 - (4*t[23])/3 - (5*t[24])/3 + (5*t[25])/3 - 
       (5*t[26])/6 + 7*t[27] - 2*t[28] - (3*t[29])/2 - 2*t[30] + 
       (17*t[31])/3 - (11*t[32])/3 + (11*t[33])/3 - (23*t[34])/6 + 4*t[35] + 
       (70*t[36])/3 + (7*t[37])/3 - (85*t[39])/6 + (65*t[40])/6 - t[41]/4 + 
       (31*t[42])/12 - (53*t[43])/12 - (19*t[44])/3 + (23*t[45])/3 - 
       8*t[46] + (35*t[47])/3 - (821*t[48])/48 + (711*t[49])/16 - 
       (439*t[50])/16 - (197*t[51])/32 + (111*t[52])/16 - (485*t[53])/48 + 
       (785*t[54])/16 - (19*t[58])/6 + (21*t[59])/4 - (191*t[60])/2 + 
       (641*t[61])/6 - (965*t[62])/8 + (4973*t[63])/24 + (517*t[64])/12 - 
       (256*t[65])/9 - (383*t[66])/3 + t[68]/3 + 6*t[69] - 12*t[70] + 
       12*t[71] - 4*t[72] - 16*t[73] - (55*t[74])/3 + 10*t[75] + 
       (89*t[76])/2 - (83*t[77])/6 - 50*t[78] - 17*t[79] + 33*t[80] + 
       (35*t[81])/3 + (125*t[82])/6 - (65*t[83])/3 - 82*t[84] - 
       (155*t[85])/4 - 13*t[86] - (1007*t[87])/12 - (609*t[88])/8 - 
       (1363*t[89])/24 + 26*t[95] + (82*t[96])/3 + (65*t[97])/6 + 320*t[98] - 
       372*t[99] + 105*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((25*t[1])/6 - (43*t[2])/4 + 
       (1247*t[3])/24 - (339*t[4])/8 + (1167*t[5])/16 - (2513*t[6])/24 - 
       (293*t[7])/24 - (703*t[8])/8 - (6313*t[9])/48 + (1123*t[10])/48 - 
       (44*t[11])/3 - (115*t[12])/12 - (377*t[13])/18 - (2277*t[14])/32 + 
       (3901*t[15])/288 + (7*t[16])/6 - 4*t[18] + (2*t[19])/3 - 5*t[20] + 
       t[21] + 5*t[22] - t[23] - (20*t[25])/3 + 5*t[26] + (40*t[27])/3 - 
       2*t[28] + (9*t[29])/2 + (40*t[30])/3 - (14*t[31])/3 - 6*t[32] + 
       (2*t[33])/3 - (29*t[34])/3 - 11*t[35] + 14*t[36] + (29*t[37])/3 + 
       (7*t[38])/2 - (23*t[39])/3 + (17*t[40])/3 + (11*t[41])/3 - 
       (19*t[42])/6 - (17*t[43])/12 + (59*t[44])/6 + t[45]/2 + (7*t[46])/3 - 
       (695*t[48])/24 + (1259*t[49])/48 - (187*t[50])/24 - (503*t[51])/32 - 
       (95*t[52])/8 + (373*t[53])/48 + (161*t[54])/12 - (10*t[58])/3 + 
       (11*t[59])/2 - (5315*t[60])/24 - (1967*t[61])/24 + (881*t[62])/16 + 
       (12617*t[63])/48 + (4145*t[64])/48 - (2851*t[65])/24 + 
       (1603*t[66])/24 - (10*t[68])/3 + 5*t[69] - (29*t[70])/3 + 
       (29*t[71])/3 + (7*t[72])/3 - 14*t[73] - 9*t[74] - 2*t[75] + 
       (239*t[76])/6 - (17*t[77])/2 - (475*t[78])/6 + 9*t[79] + 
       (101*t[80])/3 + (25*t[81])/6 + (193*t[82])/6 - (23*t[83])/3 - 
       (1013*t[84])/8 - (1505*t[85])/24 - (215*t[86])/3 - (275*t[87])/8 - 
       (3137*t[88])/48 - (4343*t[89])/48 + (98*t[95])/3 + (107*t[96])/3 + 
       (35*t[97])/3 + 320*t[98] - 372*t[99] + 105*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]^2*((7*t[1])/2 + (3*t[2])/2 + 
       (87*t[3])/4 - (41*t[4])/2 + (39*t[5])/8 - (155*t[6])/8 - (63*t[7])/8 - 
       (77*t[8])/8 - (71*t[9])/4 - (133*t[10])/8 - (135*t[11])/4 - 
       (17*t[12])/8 + (355*t[13])/144 - (397*t[14])/12 - (241*t[15])/12 + 
       t[16] + 2*t[18] - 4*t[19] + 3*t[20] + 5*t[21] - 5*t[23] + 4*t[24] - 
       6*t[25] + 3*t[26] + 2*t[27] - 4*t[29] + 2*t[30] + 3*t[31] - 2*t[32] + 
       4*t[33] + 3*t[34] + 4*t[36] + 2*t[37] + t[38] - 4*t[39] + 3*t[40] - 
       (3*t[41])/2 + (5*t[42])/2 - (33*t[43])/8 - t[44] - (43*t[45])/4 + 
       (5*t[46])/2 + (47*t[47])/2 + 5*t[48] + 4*t[49] - (13*t[50])/2 + 
       (5*t[51])/8 + (13*t[52])/2 + 5*t[53] + (15*t[54])/2 - 4*t[59] - 
       37*t[60] - 135*t[61] + 30*t[62] - (69*t[63])/2 + 70*t[64] + 
       (37*t[65])/3 - (275*t[66])/6 - t[67] - 4*t[68] + 3*t[69] - 7*t[70] + 
       7*t[71] - 6*t[72] - 6*t[74] + 19*t[76] - 32*t[78] + 30*t[80] + 
       4*t[81] + 9*t[82] - 21*t[84] + 28*t[85] + 21*t[86] - (17*t[87])/2 - 
       (93*t[88])/4 + (25*t[89])/2 + 4*t[95] + 4*t[96] - 2*t[97] + 
       144*t[98] - 180*t[99] + 105*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]^2*(-t[1] + (19*t[2])/4 + (145*t[3])/8 - 
       (9*t[5])/8 - (51*t[6])/2 + (15*t[7])/4 - (205*t[8])/4 + (115*t[9])/8 - 
       (27*t[10])/2 - (7*t[11])/2 + t[12]/8 - (569*t[13])/24 - 
       (227*t[14])/12 - (1513*t[15])/72 - 4*t[19] - 3*t[20] - 3*t[21] + 
       2*t[22] + 3*t[23] - 2*t[24] + 2*t[26] + 5*t[27] - (7*t[29])/2 + 
       3*t[30] + 4*t[31] - (7*t[32])/2 - 5*t[33] + 4*t[34] + 2*t[36] + 
       5*t[37] - t[38] + 4*t[39] - 3*t[40] - t[41] + t[42] + t[43]/2 + 
       (11*t[44])/4 - 3*t[45] + t[46] + 10*t[47] - (65*t[48])/4 + 
       (29*t[49])/2 - (5*t[50])/4 - (79*t[51])/8 + t[52]/4 + t[53]/2 - 
       (47*t[54])/2 - (5*t[59])/2 - (129*t[60])/2 - (339*t[61])/4 + 
       (219*t[62])/8 - (35*t[63])/8 + (21*t[64])/8 - (59*t[65])/2 + 
       (3*t[66])/2 - 6*t[70] + 6*t[71] - 11*t[72] - 3*t[74] + 24*t[76] + 
       3*t[77] - 44*t[78] - 14*t[80] + (5*t[81])/2 + (3*t[82])/2 + 2*t[83] - 
       (51*t[84])/2 + (69*t[85])/4 - 2*t[86] - (7*t[87])/4 - (223*t[88])/8 + 
       t[89] + 6*t[95] + 12*t[96] - t[97] + 144*t[98] - 180*t[99] + 
       105*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((43*t[1])/2 - 7*t[2] + (11*t[3])/4 + 
       (319*t[4])/8 + (93*t[5])/8 - (385*t[6])/8 + 3*t[7] - (75*t[8])/2 - 
       (21*t[9])/8 + (341*t[10])/16 + (443*t[11])/8 - (673*t[12])/16 + 
       (85*t[13])/3 - (3029*t[14])/96 - (13*t[15])/12 + 2*t[25] - 25*t[26] + 
       t[27] + 9*t[28] - t[31] - 2*t[34] - 12*t[35] + 13*t[37] + 23*t[38] - 
       t[39] - t[40] + t[41] - t[42] - 12*t[44] - 5*t[45] + 5*t[46] + 
       10*t[47] - (171*t[48])/8 + (27*t[49])/16 - (63*t[50])/8 + 
       (293*t[51])/32 - (33*t[52])/8 + (21*t[53])/16 - (87*t[54])/4 - 
       2*t[58] - (17*t[59])/2 + (185*t[60])/8 - (341*t[61])/8 - 
       (1465*t[62])/16 - (1495*t[63])/16 + (1403*t[64])/16 - 
       (1931*t[65])/24 - (2017*t[66])/24 + 2*t[70] - 2*t[71] + 17*t[72] - 
       12*t[73] + 6*t[74] + 18*t[75] + 5*t[76] + 10*t[77] - 16*t[78] - 
       12*t[79] + 44*t[80] - t[82] + 14*t[83] - (137*t[84])/8 - 
       (173*t[85])/8 + 42*t[86] - (295*t[87])/8 - (183*t[88])/16 - 
       (185*t[89])/16 + 6*t[95] + 10*t[96] + 9*t[97] + 48*t[98] - 108*t[99] + 
       108*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*(-8*t[1] + 3*t[2] + (25*t[3])/2 - (57*t[4])/2 + 
       (19*t[5])/4 - (11*t[6])/2 - (7*t[7])/2 - (17*t[8])/2 - (59*t[9])/4 + 
       (27*t[10])/4 - (125*t[11])/2 + (25*t[12])/2 - (929*t[13])/36 - 
       (147*t[14])/8 - (35*t[15])/8 - 4*t[19] + 4*t[20] + 4*t[21] - 2*t[22] - 
       4*t[23] - 2*t[25] + 11*t[26] + 2*t[27] - 2*t[29] + 2*t[30] + 4*t[31] - 
       9*t[38] + t[41] - t[42] + t[43] + 2*t[44] - 2*t[45] + 2*t[46] + 
       2*t[47] - t[48] - (13*t[49])/4 - 3*t[50] - (41*t[51])/8 + 3*t[52] + 
       (13*t[53])/4 + (13*t[54])/2 + t[58] + 3*t[59] - 57*t[60] - 61*t[61] + 
       (115*t[62])/4 + (77*t[63])/4 + 15*t[64] + (197*t[65])/6 + 88*t[66] - 
       8*t[72] + t[76] - 8*t[78] + 18*t[80] - 11*t[81] + 8*t[82] - 
       (39*t[84])/2 + (19*t[85])/2 + 8*t[86] + (21*t[87])/2 + (21*t[88])/4 + 
       (33*t[89])/2 + 24*t[98] - 24*t[99] + 108*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (-t[1]/2 - t[2]/2 + (15*t[3])/2 - (29*t[4])/2 - (3*t[5])/4 - 11*t[6] + 
       (13*t[7])/2 - (57*t[8])/2 + (35*t[9])/4 + (45*t[10])/4 - 
       (35*t[11])/2 - 4*t[12] - (637*t[13])/36 - (39*t[14])/8 - 
       (53*t[15])/8 - 4*t[19] - 4*t[20] - 4*t[21] + 4*t[22] + 4*t[23] + 
       4*t[27] - 2*t[29] + 2*t[30] + t[34] + 2*t[37] - 2*t[39] - 2*t[40] - 
       (5*t[41])/2 + (5*t[42])/2 + t[43] + 2*t[44] + 2*t[47] - 6*t[48] - 
       (31*t[49])/4 + 2*t[50] + (19*t[51])/8 - 3*t[52] + (31*t[53])/4 + 
       (5*t[54])/2 - (3*t[59])/2 - 42*t[60] - 72*t[61] + (27*t[62])/4 + 
       (13*t[63])/4 + (45*t[64])/2 - (121*t[65])/6 + (25*t[66])/3 - 8*t[72] + 
       3*t[76] + 2*t[77] - 7*t[78] - 8*t[80] - 6*t[81] - 2*t[82] - 
       (25*t[84])/2 + (21*t[85])/2 + 8*t[86] + (7*t[87])/2 + (11*t[88])/4 - 
       (9*t[89])/2 + 2*t[96] - t[97] + 24*t[98] - 24*t[99] + 108*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-9*t[1])/2 + (10*t[2])/3 + (37*t[3])/3 - (253*t[4])/4 + 
       (97*t[5])/16 - (349*t[6])/12 - (153*t[7])/8 - (313*t[8])/8 - 
       (113*t[9])/16 - (615*t[10])/16 - (323*t[11])/6 + (127*t[12])/6 - 
       (1343*t[13])/72 - (17317*t[14])/288 + (2045*t[15])/288 - (8*t[25])/3 + 
       (19*t[26])/6 + (14*t[27])/3 - 2*t[29] - (2*t[31])/3 - 2*t[32] + 
       2*t[33] + (8*t[34])/3 + (5*t[36])/6 + (14*t[37])/3 - (5*t[38])/2 - 
       (17*t[39])/3 + (10*t[40])/3 - (4*t[41])/3 + (4*t[42])/3 - 2*t[44] - 
       (4*t[45])/3 + (73*t[46])/24 + (2*t[47])/3 - (47*t[48])/4 - 
       (293*t[49])/16 + (21*t[50])/4 + (1675*t[51])/96 - (21*t[52])/4 + 
       (1349*t[53])/48 + (125*t[54])/4 - (4*t[58])/3 + t[59]/4 - 
       (835*t[60])/8 - (3341*t[61])/24 + (5621*t[62])/48 + (3329*t[63])/48 + 
       (47*t[64])/16 + (2153*t[65])/36 + (3223*t[66])/36 + (13*t[69])/3 - 
       (8*t[70])/3 + (8*t[71])/3 + (10*t[72])/3 + (23*t[73])/6 - 
       (8*t[74])/3 + (15*t[75])/2 + (13*t[76])/3 - (10*t[77])/3 - 
       (17*t[78])/3 - (23*t[79])/6 + (10*t[80])/3 + (13*t[81])/3 + 10*t[82] - 
       (23*t[83])/3 - (139*t[84])/6 + (10*t[85])/3 - (53*t[86])/2 + 
       (179*t[87])/6 + (2*t[88])/3 - (619*t[89])/48 + (40*t[95])/3 - 
       (4*t[96])/3 - 4*t[97] + 32*t[98] - 32*t[99] + (219*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((79*t[1])/6 + (20*t[2])/3 - (47*t[3])/3 + (71*t[4])/3 - (199*t[5])/6 + 
       (223*t[6])/4 - (19*t[7])/6 + (403*t[8])/6 - (46*t[9])/3 + 
       (775*t[10])/12 + (289*t[11])/12 - (43*t[12])/12 + (533*t[13])/27 + 
       (1591*t[14])/36 - (149*t[15])/18 + 2*t[22] + 6*t[25] - (35*t[26])/3 + 
       (8*t[27])/3 + 4*t[28] - 6*t[30] - (32*t[31])/3 + t[34]/3 - 8*t[35] - 
       10*t[36] - (50*t[37])/3 + (23*t[38])/3 - 3*t[39] - (19*t[40])/3 + 
       (5*t[41])/6 - (5*t[42])/6 - 3*t[43] - 10*t[44] - (8*t[45])/3 - 
       2*t[46] + (16*t[47])/3 + (41*t[48])/4 - (403*t[49])/12 + 
       (83*t[50])/12 + (83*t[51])/12 + t[52]/12 + (35*t[53])/12 - 
       (17*t[54])/4 + (7*t[58])/3 - (7*t[59])/3 + (61*t[60])/3 + 
       (409*t[61])/6 - (185*t[62])/3 - (370*t[63])/3 + (25*t[64])/4 + 
       (341*t[65])/6 - (332*t[66])/9 + 10*t[69] + (2*t[70])/3 - (2*t[71])/3 + 
       26*t[72] + 8*t[73] + 6*t[74] - 8*t[75] - (131*t[76])/3 + 
       (20*t[77])/3 + (86*t[78])/3 + 16*t[79] - 14*t[80] - (46*t[81])/3 - 
       (41*t[82])/3 + (8*t[83])/3 + (79*t[84])/2 - (77*t[85])/3 + 16*t[86] + 
       (232*t[87])/3 + 88*t[88] + 22*t[89] - 12*t[95] - (56*t[96])/3 - 
       4*t[97] - 296*t[98] + 240*t[99] + 114*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (16*t[1] + (13*t[2])/2 - (5*t[3])/4 - 10*t[4] - (145*t[5])/4 + 
       (29*t[6])/2 - (101*t[7])/4 - (159*t[8])/4 + (31*t[9])/2 + 
       (763*t[10])/8 - (247*t[11])/4 - (429*t[12])/8 - (4349*t[13])/72 + 
       (31*t[14])/4 - (581*t[15])/36 - 5*t[25] - 8*t[26] + 2*t[27] + 
       6*t[28] + 2*t[30] + t[34] - 12*t[35] - 3*t[36] - t[37] + 13*t[38] + 
       2*t[39] - 4*t[40] - t[41]/2 + t[42]/2 + t[43] - 6*t[44] + t[45] - 
       3*t[46] - 2*t[47] - (11*t[48])/2 + (209*t[49])/8 + 27*t[50] - 
       (83*t[51])/8 - 14*t[52] - (153*t[53])/8 - (13*t[54])/2 + t[58] - 
       9*t[59] - (389*t[60])/4 - 103*t[61] + (185*t[62])/4 + (477*t[63])/4 + 
       46*t[64] + (245*t[65])/12 + (797*t[66])/12 - 2*t[69] - 4*t[70] + 
       4*t[71] + 10*t[73] - 7*t[74] - 6*t[75] - t[76] + 3*t[77] + 9*t[78] + 
       16*t[79] - 18*t[80] + (31*t[81])/2 - (21*t[82])/2 + 24*t[83] - 
       (29*t[84])/4 + (9*t[85])/2 - 18*t[86] + 54*t[87] + 16*t[88] - 
       (73*t[89])/8 + 6*t[95] - 4*t[96] - 8*t[97] - 48*t[98] + 28*t[99] + 
       115*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*(-15*t[1] - (3*t[3])/2 - (289*t[4])/4 - 
       (35*t[5])/4 - (15*t[6])/8 + 10*t[7] + 13*t[8] + (41*t[9])/4 - 
       (323*t[10])/4 - (317*t[11])/8 + (449*t[12])/4 - (191*t[13])/6 - 
       71*t[14] + (129*t[15])/8 + 9*t[16] + 3*t[25] + 14*t[26] - 34*t[36] - 
       15*t[38] - (33*t[46])/2 - (15*t[48])/8 - (107*t[49])/4 - 
       (39*t[50])/8 + (231*t[51])/8 + (39*t[52])/8 + (143*t[53])/4 + 
       (221*t[54])/8 + (15*t[59])/2 - (175*t[60])/4 - (105*t[61])/2 + 
       (623*t[62])/8 + (119*t[63])/8 + (327*t[64])/2 + (761*t[65])/12 + 
       (785*t[66])/4 + 3*t[67] + 12*t[69] - 78*t[73] + 4*t[74] + 222*t[75] - 
       30*t[79] + (11*t[81])/2 - (11*t[82])/2 - 88*t[83] - (85*t[84])/4 - 
       16*t[85] + 34*t[86] + (87*t[87])/2 - (35*t[88])/4 + (97*t[89])/2 + 
       16*t[95] + 120*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*(19*t[1] + (3*t[3])/2 - (133*t[4])/4 + 
       t[5]/4 - (33*t[6])/8 - t[7]/2 - (7*t[8])/2 - (7*t[9])/4 - 
       (413*t[10])/4 - (407*t[11])/8 - (53*t[12])/4 + (301*t[13])/6 - 
       (293*t[14])/2 + (257*t[15])/8 - 3*t[25] - 16*t[26] - 10*t[36] + 
       19*t[38] - (21*t[46])/2 - (33*t[48])/8 + (13*t[49])/4 - (9*t[50])/8 + 
       (393*t[51])/8 + (9*t[52])/8 + (23*t[53])/4 + (191*t[54])/8 - 
       (19*t[59])/2 - (133*t[60])/4 - 158*t[61] + (1901*t[62])/8 - 
       (1423*t[63])/8 + (591*t[64])/4 + (2077*t[65])/12 + (721*t[66])/4 - 
       96*t[73] - 2*t[74] + 240*t[75] - 12*t[79] + (5*t[81])/2 - 
       (5*t[82])/2 - 52*t[83] - (97*t[84])/4 - (35*t[85])/2 + 4*t[86] + 
       39*t[87] - 11*t[88] + (383*t[89])/4 + 16*t[95] + 120*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-137*t[1])/36 + (19*t[2])/3 + (125*t[3])/12 - (847*t[4])/36 - 
       (1355*t[5])/144 + (197*t[6])/48 + (5*t[7])/18 + (331*t[8])/36 - 
       (931*t[9])/144 - (2479*t[10])/288 - (1027*t[11])/36 + 
       (4703*t[12])/288 - (4285*t[13])/144 - (5777*t[14])/192 - 
       (943*t[15])/48 - 2*t[19] + 2*t[20] + 2*t[21] - t[22] - 2*t[23] - 
       (9*t[25])/2 + (425*t[26])/36 + t[27]/3 - 5*t[28] + (3*t[29])/2 - 
       t[30] + (23*t[31])/3 + t[32] - t[33] - (11*t[34])/6 + 2*t[35] - 
       (77*t[36])/18 + t[37]/6 - (209*t[38])/36 - (43*t[40])/6 + 
       (17*t[41])/12 - (17*t[42])/12 - (5*t[43])/4 + 5*t[44] - (41*t[45])/6 + 
       (31*t[46])/6 + (41*t[47])/3 - (121*t[48])/48 + (4523*t[49])/288 + 
       (37*t[50])/16 - (4037*t[51])/192 + (115*t[52])/16 - (1403*t[53])/288 - 
       (899*t[54])/144 + (5*t[58])/3 - (7*t[59])/72 - (10909*t[60])/144 - 
       (19955*t[61])/144 + (16205*t[62])/288 - (5617*t[63])/288 + 
       (6997*t[64])/96 + (553*t[65])/108 + (574*t[66])/9 - t[68] - 
       (11*t[69])/3 - (11*t[70])/3 + (11*t[71])/3 - 22*t[72] + 12*t[73] + 
       (95*t[74])/18 - (71*t[75])/3 + (32*t[76])/3 - (13*t[77])/6 - 
       (175*t[78])/6 + 14*t[79] + 11*t[80] + (17*t[81])/18 + (50*t[82])/9 - 
       (311*t[83])/18 - (190*t[84])/9 + (845*t[85])/36 + (166*t[86])/9 + 
       (169*t[87])/8 - (821*t[88])/144 + (11119*t[89])/288 - t[90]/2 - 
       2*t[93] + (31*t[95])/9 + (17*t[96])/3 - 2*t[97] + 92*t[98] - 
       134*t[99] + (731*t[100])/6) + HPL[{0, 1}, 1 - u]*Qep[w, v, u]*
      ((-400*t[1])/9 + (248*t[2])/9 - (928*t[3])/9 + (158*t[4])/9 - 
       172*t[5] + (2512*t[6])/9 + 16*t[7] + (1136*t[8])/3 + (284*t[9])/3 + 
       (839*t[10])/9 - (1820*t[11])/9 + (695*t[12])/9 - (2114*t[13])/27 + 
       (11875*t[14])/54 - (223*t[15])/27 + (128*t[25])/9 + (512*t[26])/9 - 
       (128*t[27])/9 - 32*t[28] - (64*t[30])/3 + (128*t[31])/9 - 
       (32*t[34])/9 + 64*t[35] - (128*t[36])/3 - (512*t[37])/9 - 
       (544*t[38])/9 + (128*t[39])/9 - (256*t[40])/9 + (16*t[41])/9 - 
       (16*t[42])/9 - (32*t[43])/3 + 32*t[44] + (64*t[45])/9 - 
       (160*t[46])/9 - (128*t[47])/9 + 112*t[48] - t[49]/3 + 16*t[50] - 
       (1111*t[51])/18 + (176*t[52])/3 - 61*t[53] + (58*t[54])/3 + 
       (160*t[58])/9 + (128*t[59])/9 + (706*t[60])/9 + (1730*t[61])/9 + 
       (851*t[62])/9 - (2635*t[63])/9 - (2863*t[64])/9 + (11354*t[65])/27 + 
       (7870*t[66])/27 + (128*t[70])/9 - (128*t[71])/9 - (448*t[72])/9 + 
       (128*t[73])/3 + (32*t[74])/3 - (128*t[75])/3 - (1024*t[76])/9 + 
       (64*t[77])/9 + (1664*t[78])/9 - (2176*t[80])/9 - 48*t[81] - 
       (400*t[82])/9 - (352*t[83])/9 + (1370*t[84])/9 + (722*t[85])/9 - 
       (64*t[86])/3 + (2806*t[87])/9 + 227*t[88] + (2767*t[89])/9 - 
       (128*t[95])/3 - (512*t[96])/9 - 32*t[97] - (2048*t[98])/3 + 
       768*t[99] + 128*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-83*t[1])/18 + (241*t[2])/72 - (17*t[3])/36 - 
       (809*t[4])/72 + (271*t[5])/36 + (1645*t[6])/48 - (1831*t[7])/72 + 
       (3209*t[8])/36 - (395*t[9])/18 - (145*t[10])/18 - (16091*t[11])/144 - 
       (749*t[12])/72 - (1831*t[13])/1296 - (55411*t[14])/864 - 
       (5989*t[15])/432 - t[16]/4 - (17*t[25])/3 + t[26]/9 - (34*t[27])/9 - 
       (13*t[28])/2 - 3*t[29] - (32*t[30])/3 - (83*t[31])/9 - 2*t[32] + 
       2*t[33] + (34*t[34])/9 + 13*t[35] + 15*t[36] - (125*t[37])/9 - 
       (325*t[38])/36 - (173*t[39])/12 - (163*t[40])/36 - (17*t[41])/9 + 
       (17*t[42])/9 - (49*t[43])/12 + 7*t[44] - (263*t[45])/36 - 
       (115*t[46])/12 + (227*t[47])/18 + (323*t[48])/16 - (1145*t[49])/72 - 
       (649*t[50])/144 + (3415*t[51])/288 + (2113*t[52])/144 - 
       (169*t[53])/36 - (65*t[54])/48 + (29*t[58])/18 + (193*t[59])/72 - 
       (329*t[60])/36 - (3083*t[61])/18 + (1403*t[62])/18 - 
       (10445*t[63])/72 - 27*t[64] + (16507*t[65])/72 + (5296*t[66])/27 + 
       (13*t[68])/2 + (13*t[69])/3 + (5*t[70])/9 - (5*t[71])/9 + 
       (53*t[72])/3 + (59*t[73])/6 - 29*t[74] - (83*t[75])/6 - 
       (548*t[76])/9 + (79*t[77])/18 + (1417*t[78])/18 + 24*t[79] - 
       (110*t[80])/3 - (155*t[81])/18 + (235*t[82])/9 - (61*t[83])/9 + 
       (1327*t[84])/24 + (2327*t[85])/72 + (425*t[86])/6 + (3361*t[87])/36 + 
       (523*t[88])/8 + (145*t[89])/2 + t[90]/2 + t[91]/6 - (38*t[95])/3 - 
       (379*t[96])/18 - (43*t[97])/4 - (470*t[98])/3 + 102*t[99] + 
       129*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*(t[1]/8 + t[2]/8 + (59*t[3])/24 + (629*t[4])/48 + 
       (73*t[5])/48 + (151*t[6])/16 - (215*t[7])/24 + (209*t[8])/12 + 
       (25*t[9])/12 + (509*t[10])/96 - (121*t[11])/24 - (275*t[12])/32 + 
       (55*t[13])/9 - (4015*t[14])/288 - (649*t[15])/432 + t[19] - t[20] - 
       t[21] + t[22] + t[23] + t[25]/3 - (17*t[26])/12 - t[27]/2 + 
       (5*t[28])/6 - (41*t[30])/12 - (35*t[31])/12 + (3*t[34])/4 - 
       (5*t[35])/3 - (7*t[36])/12 - (11*t[37])/6 + (7*t[38])/12 - t[40]/4 - 
       (7*t[41])/8 + (7*t[42])/8 - (41*t[43])/24 - (5*t[44])/3 + 
       (5*t[45])/6 - (4*t[46])/3 - (5*t[47])/3 + (77*t[48])/48 - 
       (161*t[49])/96 + (41*t[50])/48 + (23*t[51])/16 + (9*t[52])/16 - 
       (481*t[53])/96 - (395*t[54])/48 + t[58]/4 - (2*t[59])/3 + 
       (1201*t[60])/48 - (425*t[61])/12 + (635*t[62])/48 - (711*t[63])/16 + 
       (1819*t[64])/96 + (4409*t[65])/144 + (4141*t[66])/144 + t[69]/2 + 
       (4*t[70])/3 - (4*t[71])/3 - t[72]/6 + (31*t[73])/6 + (5*t[74])/12 - 
       (25*t[75])/6 - (43*t[76])/12 + t[77]/2 + (47*t[78])/4 - t[80] + 
       (95*t[81])/24 - (25*t[82])/8 - (7*t[83])/12 + (835*t[84])/48 + 
       (101*t[85])/8 + (91*t[86])/6 + (249*t[87])/16 + (465*t[88])/32 + 
       (2167*t[89])/96 - (7*t[95])/3 - (35*t[96])/6 - (11*t[97])/6 - 
       129*t[98] + 94*t[99] + 130*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*((-43*t[1])/6 + (25*t[2])/12 - 
       (175*t[3])/12 - (483*t[4])/16 - (2105*t[5])/96 + (559*t[6])/16 - 
       (523*t[7])/24 - (137*t[8])/12 + (489*t[9])/32 - (10579*t[10])/96 - 
       6*t[11] + (235*t[12])/48 + (32837*t[13])/432 - (46687*t[14])/576 + 
       (41453*t[15])/1728 + (2*t[17])/3 + (13*t[19])/3 + 10*t[20] + 2*t[21] - 
       8*t[22] - (14*t[23])/3 + (11*t[24])/3 - 6*t[27] + 8*t[28] - 
       (89*t[29])/12 - (25*t[30])/3 + 3*t[31] - 7*t[32] + 18*t[33] - 
       4*t[34] - 6*t[35] - t[37] - (17*t[38])/6 - (79*t[39])/6 + 
       (35*t[40])/12 - (13*t[41])/6 + (13*t[42])/6 + (73*t[43])/16 + 
       (29*t[44])/8 + (173*t[45])/12 + t[46]/2 - (61*t[47])/6 + 
       (47*t[48])/48 - (1771*t[49])/32 + (1723*t[50])/48 + (2767*t[51])/64 - 
       (1147*t[52])/48 + (1195*t[53])/32 + (1055*t[54])/24 + t[55]/6 - 
       t[56]/2 + t[57] + (35*t[59])/12 + (1659*t[60])/16 - (4549*t[61])/48 + 
       (3999*t[62])/32 - (2591*t[63])/32 + (2785*t[64])/32 + 
       (4135*t[65])/144 + (2065*t[66])/144 - (7*t[68])/3 + 3*t[69] + 
       (4*t[70])/3 - (4*t[71])/3 - 3*t[72] + (31*t[74])/3 + 32*t[75] - 
       28*t[76] + 3*t[77] + (455*t[78])/6 - 32*t[79] + (13*t[80])/6 - 
       (11*t[81])/3 - (53*t[82])/2 - (79*t[83])/2 + (939*t[84])/16 + 
       (467*t[85])/16 - (37*t[86])/4 - (75*t[87])/16 + (53*t[88])/32 + 
       (5195*t[89])/96 - t[91]/12 + t[93] - (14*t[95])/3 - (73*t[96])/3 - 
       (101*t[97])/6 - 184*t[98] + 176*t[99] + 130*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((145*t[1])/12 + (77*t[2])/6 - (1483*t[3])/48 - (13*t[4])/48 - 
       (529*t[5])/48 + (2755*t[6])/96 + (3439*t[7])/48 + (1785*t[8])/16 + 
       (175*t[9])/48 + (815*t[10])/32 - (769*t[11])/96 - (1489*t[12])/32 - 
       (27793*t[13])/864 - (11779*t[14])/576 + (1129*t[15])/96 + 
       (5*t[17])/2 - (4*t[18])/3 + 5*t[19] + 3*t[20] - (25*t[21])/3 - 
       (35*t[22])/3 + (25*t[23])/3 - (2*t[24])/3 - 5*t[25] - (16*t[26])/3 - 
       6*t[27] - 6*t[28] + (3*t[29])/4 + (7*t[30])/2 + (8*t[32])/3 - 
       t[33]/3 - (21*t[34])/2 + 7*t[35] - t[36] - 12*t[37] + (29*t[38])/3 - 
       (17*t[39])/3 - (37*t[40])/6 + (43*t[41])/12 - (17*t[42])/4 + 
       (79*t[43])/48 + (89*t[44])/8 + (275*t[45])/24 - (5*t[46])/6 - 
       t[47]/12 + (863*t[48])/96 + (807*t[49])/32 + (4307*t[50])/96 - 
       (773*t[51])/64 - (2435*t[52])/96 - (567*t[53])/32 - (431*t[54])/32 - 
       (7*t[56])/6 - (13*t[57])/3 + (7*t[58])/3 - 2*t[59] - (269*t[60])/3 + 
       (149*t[61])/6 - (401*t[62])/6 - (541*t[63])/12 + (667*t[64])/4 + 
       (100*t[65])/9 + (1837*t[66])/9 - t[67]/3 - (5*t[68])/3 + 2*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 - 4*t[72] + 8*t[73] + 16*t[74] - 6*t[75] - 
       (107*t[76])/3 + (13*t[77])/3 + (152*t[78])/3 - 3*t[79] + (8*t[80])/3 - 
       (97*t[81])/3 + (17*t[82])/6 - 2*t[83] - (5*t[84])/6 - 56*t[85] + 
       (334*t[86])/3 + 141*t[87] + (141*t[88])/2 + (469*t[89])/12 - 
       (16*t[97])/3 - 184*t[98] + 176*t[99] + 130*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((361*t[1])/36 + (55*t[2])/36 + (16*t[3])/9 + (959*t[4])/72 + 
       (137*t[5])/24 + (85*t[6])/72 - (2*t[7])/3 + (47*t[8])/6 - 
       (53*t[9])/8 + (4961*t[10])/288 + (1715*t[11])/144 - (3601*t[12])/288 + 
       (3887*t[13])/432 - (638*t[14])/27 - (4291*t[15])/864 - (17*t[25])/9 - 
       (50*t[26])/9 + (5*t[27])/9 + 2*t[28] - 2*t[30] - (38*t[31])/9 + 
       (2*t[34])/9 - 4*t[35] - (11*t[36])/3 + (85*t[37])/18 + (67*t[38])/9 - 
       (29*t[39])/9 - (25*t[40])/18 - t[41]/9 + t[42]/9 - t[43] - 
       (11*t[44])/3 - (47*t[45])/18 + (13*t[46])/9 + (47*t[47])/9 + 
       (5*t[48])/24 - (1049*t[49])/96 + (169*t[50])/24 + (1099*t[51])/288 - 
       (121*t[52])/24 + (457*t[53])/96 - 14*t[54] + (2*t[58])/9 - 
       (137*t[59])/36 + (2327*t[60])/144 - (4579*t[61])/72 - 
       (1091*t[62])/144 - (9215*t[63])/144 + (2923*t[64])/144 + 
       (169*t[65])/27 + (4429*t[66])/216 - t[69]/3 - (20*t[70])/9 + 
       (20*t[71])/9 + (61*t[72])/9 + t[73] + (10*t[74])/3 - t[75] - 
       (74*t[76])/9 + (20*t[77])/9 + (55*t[78])/9 + (14*t[79])/3 + 
       (13*t[80])/9 - 4*t[81] + (65*t[82])/18 - (23*t[83])/9 + 
       (875*t[84])/72 + (119*t[85])/72 + 9*t[86] + (1369*t[87])/72 + 
       (241*t[88])/16 + (5215*t[89])/288 - (17*t[95])/3 - (25*t[96])/9 - 
       (4*t[97])/3 - (160*t[98])/3 + 22*t[99] + 131*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*(-8*t[1] + 11*t[3] - 
       18*t[4] + (25*t[5])/2 - 15*t[6] - 12*t[7] - 34*t[8] - (47*t[9])/2 + 
       7*t[10] - 48*t[11] + (23*t[12])/2 - (15*t[13])/2 - (87*t[14])/2 - 
       (31*t[15])/12 + 8*t[26] + 16*t[36] - 8*t[38] - 8*t[39] + 8*t[40] - 
       14*t[46] - 14*t[48] - 3*t[49] + 8*t[50] + 14*t[51] - 8*t[52] + 
       3*t[53] + 4*t[59] - 46*t[60] - 86*t[61] + 38*t[62] + 74*t[63] + 
       23*t[64] + 21*t[65] + 101*t[66] - 8*t[73] - 16*t[74] + 20*t[75] - 
       8*t[76] - 8*t[77] - 6*t[81] + 14*t[82] - 11*t[84] - 2*t[85] - 
       4*t[86] + 24*t[87] + 12*t[88] + t[89] - 48*t[98] + 132*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*(4*t[1] + (9*t[5])/2 - 
       6*t[6] + t[7] + t[8] - (9*t[9])/2 + 35*t[10] - 11*t[11] - 
       (25*t[12])/2 + (20*t[13])/3 - (31*t[14])/6 + (3*t[15])/4 + 8*t[46] - 
       2*t[48] - 4*t[49] - 2*t[50] - 4*t[51] + 2*t[52] + 4*t[53] + 10*t[54] + 
       4*t[59] - 3*t[60] - 42*t[61] + t[62] - 48*t[63] + 7*t[64] + 23*t[65] - 
       6*t[66] - 8*t[73] + 20*t[75] + 8*t[81] - 8*t[82] + 4*t[83] - 4*t[85] + 
       4*t[86] + 4*t[87] + 2*t[88] + 27*t[89] - 48*t[98] + 132*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-103*t[1])/12 - (85*t[2])/12 + (25*t[3])/3 - (3055*t[4])/48 + 
       (1375*t[5])/48 - (803*t[6])/16 + (41*t[7])/6 - (34*t[8])/3 - 
       (883*t[9])/48 + (4385*t[10])/96 - (2765*t[11])/48 - (1517*t[12])/96 - 
       (28831*t[13])/432 + (9769*t[14])/576 + (79*t[15])/18 - 8*t[19] - 
       8*t[20] - 8*t[21] + 4*t[22] + 8*t[23] - 5*t[25] + (77*t[26])/6 - 
       (4*t[27])/3 - 5*t[28] - 5*t[30] - (11*t[31])/3 - (2*t[34])/3 + 
       10*t[35] + (27*t[36])/2 + (11*t[37])/6 - (47*t[38])/6 - t[39] + 
       (13*t[40])/6 - (17*t[41])/3 + (17*t[42])/3 - (5*t[43])/2 + 9*t[44] + 
       (11*t[45])/6 + 4*t[46] - (11*t[47])/3 - (35*t[48])/16 + 
       (2779*t[49])/96 - (385*t[50])/48 - (2701*t[51])/192 + t[52]/48 + 
       (85*t[53])/96 + (229*t[54])/8 - (2*t[58])/3 + (5*t[59])/3 - 
       (7979*t[60])/48 - (2707*t[61])/48 - (3745*t[62])/96 + 
       (13729*t[63])/96 + (1143*t[64])/32 - (1903*t[65])/48 + 
       (1321*t[66])/144 - (19*t[70])/3 + (19*t[71])/3 - 4*t[72] - 10*t[73] - 
       (17*t[74])/2 + 10*t[75] + (167*t[76])/6 - (17*t[77])/6 - 
       (269*t[78])/6 - 20*t[79] + 7*t[80] - (139*t[81])/12 + (91*t[82])/12 + 
       (32*t[83])/3 - (1051*t[84])/16 - (851*t[85])/48 + 7*t[86] - 
       (893*t[87])/48 - (1247*t[88])/32 - (1927*t[89])/32 + 17*t[95] + 
       (67*t[96])/3 + 5*t[97] + 196*t[98] - 222*t[99] + 132*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((5*t[1])/12 + (107*t[2])/12 + (65*t[3])/3 - (2911*t[4])/48 + 
       (359*t[5])/16 - (2975*t[6])/48 + (7*t[7])/2 - 52*t[8] - 
       (355*t[9])/16 + (799*t[10])/96 - (3149*t[11])/48 + (625*t[12])/96 - 
       (7751*t[13])/144 - (19099*t[14])/576 - (265*t[15])/36 - 8*t[19] + 
       8*t[20] + 8*t[21] - 4*t[22] - 8*t[23] - (19*t[25])/3 + (31*t[26])/6 + 
       (16*t[27])/3 + 5*t[28] + 5*t[30] + (11*t[31])/3 - (2*t[34])/3 - 
       10*t[35] + (17*t[36])/2 + (107*t[37])/6 + (7*t[38])/6 - (7*t[39])/3 + 
       (13*t[40])/6 + (7*t[41])/3 - (7*t[42])/3 + (5*t[43])/2 - 9*t[44] - 
       (37*t[45])/6 + (14*t[46])/3 + (37*t[47])/3 - (285*t[48])/16 + 
       (419*t[49])/32 - (101*t[50])/16 + (19*t[51])/192 - (27*t[52])/16 + 
       (525*t[53])/32 + (113*t[54])/4 - (2*t[58])/3 - (17*t[59])/6 - 
       (7565*t[60])/48 - (5167*t[61])/48 + (331*t[62])/96 + (9949*t[63])/96 + 
       (10753*t[64])/96 - (11137*t[65])/144 + (2497*t[66])/144 - 
       (19*t[70])/3 + (19*t[71])/3 + (8*t[72])/3 - 10*t[73] - (7*t[74])/2 + 
       10*t[75] + (145*t[76])/6 + (5*t[77])/6 - (299*t[78])/6 + 
       (161*t[80])/3 - (51*t[81])/4 + (245*t[82])/12 + (32*t[83])/3 - 
       (3793*t[84])/48 - (727*t[85])/48 + 19*t[86] - (1625*t[87])/48 - 
       (1619*t[88])/32 - (5719*t[89])/96 + 17*t[95] + (67*t[96])/3 + 
       5*t[97] + 196*t[98] - 222*t[99] + 132*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((3*t[1])/2 - 5*t[2] + (23*t[3])/2 + (57*t[4])/4 + (15*t[5])/4 - 
       (63*t[6])/4 - 36*t[8] - (45*t[9])/4 + (317*t[10])/8 - (15*t[11])/4 - 
       (165*t[12])/8 - (7*t[13])/9 - (319*t[14])/48 - (121*t[15])/12 - 
       4*t[19] - 4*t[20] - 4*t[21] + 4*t[22] + 4*t[23] - 2*t[26] + 4*t[27] - 
       2*t[29] - 4*t[30] - 4*t[31] + t[34] - 2*t[36] - 2*t[37] + 2*t[38] - 
       3*t[39] + t[40] - (5*t[41])/2 + (5*t[42])/2 + 2*t[44] + 2*t[45] - 
       2*t[47] - (47*t[48])/4 - (65*t[49])/8 - (15*t[50])/4 - (5*t[51])/16 - 
       (13*t[52])/4 - (23*t[53])/8 - 16*t[54] - 2*t[59] + (75*t[60])/4 - 
       (205*t[61])/4 - (155*t[62])/8 - (333*t[63])/8 - (241*t[64])/8 + 
       (19*t[65])/4 + (151*t[66])/12 + 4*t[70] - 4*t[71] + 2*t[72] + 
       2*t[74] + 2*t[77] - 2*t[78] - 4*t[80] - 5*t[81] - t[82] + 
       (9*t[84])/4 + (63*t[85])/4 - (31*t[87])/4 + (129*t[88])/8 + 
       (61*t[89])/8 - 4*t[95] - 4*t[96] + 2*t[97] - 24*t[99] + 132*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-10*t[1] - (3*t[2])/2 + (31*t[3])/2 + (23*t[4])/4 + 25*t[5] - 
       (73*t[6])/4 - (15*t[7])/2 - (55*t[8])/2 - (45*t[9])/2 + (17*t[10])/8 - 
       (99*t[11])/4 + (113*t[12])/8 + (2*t[13])/3 - (1393*t[14])/48 - 
       (27*t[15])/8 - 4*t[19] + 4*t[20] + 4*t[21] - 2*t[22] - 4*t[23] + 
       4*t[25] + 5*t[26] + 2*t[27] - 2*t[29] - 4*t[30] - 2*t[36] + 2*t[37] - 
       9*t[38] + t[40] + t[41] - t[42] + 2*t[44] - 2*t[45] + 2*t[46] + 
       2*t[47] - (27*t[48])/4 - (77*t[49])/8 - (19*t[50])/4 - (27*t[51])/16 - 
       (5*t[52])/4 - (11*t[53])/8 - (35*t[54])/2 + t[58] + (7*t[59])/2 - 
       (3*t[60])/4 - (245*t[61])/4 + (7*t[62])/8 - (447*t[63])/8 + 
       (31*t[64])/8 + (419*t[65])/12 + (325*t[66])/4 + 4*t[70] - 4*t[71] - 
       4*t[72] + 2*t[74] - t[76] + 4*t[77] - 7*t[78] + 16*t[80] - 11*t[81] + 
       6*t[82] - (25*t[84])/4 + (21*t[85])/4 + 12*t[86] + (23*t[87])/4 + 
       (175*t[88])/8 + (267*t[89])/8 - 4*t[95] - 4*t[96] + 3*t[97] - 
       24*t[99] + 132*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*((23*t[1])/6 + (65*t[2])/24 - (29*t[3])/12 + 
       (737*t[4])/24 - (677*t[6])/24 + (155*t[7])/8 + (95*t[8])/8 + 28*t[9] - 
       (1259*t[10])/48 + (763*t[11])/24 + (397*t[12])/48 + (463*t[13])/16 - 
       (6601*t[14])/288 - (1009*t[15])/48 + (7*t[17])/4 + 7*t[18] - t[19] + 
       3*t[20] - t[21] + t[22] - t[23] - 4*t[24] - t[25]/6 - t[26]/6 + 
       (13*t[27])/6 + 3*t[29] - 9*t[30] - (8*t[31])/3 + (38*t[34])/3 + 
       (8*t[37])/3 + (5*t[38])/6 - (2*t[39])/3 + t[40]/3 - (13*t[41])/3 + 
       (41*t[42])/6 - (61*t[43])/8 - 4*t[44] - (133*t[45])/12 + 
       (61*t[46])/12 + (169*t[47])/6 + (13*t[48])/4 + (7*t[49])/16 - 
       (19*t[50])/4 + (85*t[51])/96 - (37*t[52])/4 - (39*t[53])/16 - 
       (177*t[54])/8 + (8*t[58])/3 - (38*t[59])/3 + (647*t[60])/12 - 
       (302*t[61])/3 - (139*t[62])/6 - (482*t[63])/3 + (269*t[64])/6 + 
       (857*t[65])/18 - (802*t[66])/9 - t[68]/2 - 3*t[69] + t[70]/3 - 
       t[71]/3 - (8*t[72])/3 - 4*t[74] + (58*t[76])/3 + (20*t[77])/3 - 
       (98*t[78])/3 + (55*t[80])/3 + 3*t[81] + (10*t[82])/3 + (4*t[83])/3 - 
       (59*t[84])/12 + (295*t[85])/12 + 47*t[86] - (259*t[87])/12 - 
       (41*t[88])/8 + (623*t[89])/12 + t[90]/2 + t[92]/2 - t[94]/2 + 
       (2*t[96])/3 + 2*t[97] + 164*t[98] - 244*t[99] + 133*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((167*t[1])/18 + (523*t[2])/144 - (161*t[3])/72 + (3035*t[4])/288 - 
       (3413*t[5])/288 + (1777*t[6])/96 - (299*t[7])/72 + (383*t[8])/72 + 
       (563*t[9])/288 + (3527*t[10])/576 - (695*t[11])/288 - 
       (7163*t[12])/576 + (28085*t[13])/2592 - (40889*t[14])/3456 - 
       (1693*t[15])/432 + t[19] + t[20] + t[21] - t[23] + t[25]/2 - 
       (137*t[26])/18 + (7*t[27])/9 + (41*t[28])/12 - (5*t[30])/6 - 
       (22*t[31])/9 + (11*t[34])/36 - (41*t[35])/6 - (25*t[36])/6 - 
       (67*t[37])/36 + (137*t[38])/18 - (5*t[39])/6 - (20*t[40])/9 + 
       (61*t[41])/72 - (61*t[42])/72 - (5*t[43])/12 - (41*t[44])/12 - 
       t[45]/36 + (3*t[46])/8 + t[47]/18 + (605*t[48])/96 - 
       (4715*t[49])/576 + (2063*t[50])/288 + (6389*t[51])/1152 - 
       (407*t[52])/288 + (583*t[53])/576 - (281*t[54])/48 + (29*t[58])/36 - 
       (199*t[59])/18 + (39073*t[60])/288 - (13189*t[61])/288 - 
       (13213*t[62])/576 - (137675*t[63])/576 + (19429*t[64])/192 + 
       (3103*t[65])/96 - (22583*t[66])/864 + (23*t[69])/6 + (52*t[70])/9 - 
       (52*t[71])/9 + (23*t[72])/3 - (55*t[73])/12 + (23*t[74])/4 + 
       (151*t[75])/12 - (919*t[76])/36 + (37*t[77])/9 + (551*t[78])/18 - 
       (22*t[79])/3 - (31*t[80])/3 - (409*t[81])/18 - (239*t[82])/18 - 
       (511*t[83])/18 + (1859*t[84])/32 + (10159*t[85])/288 + (62*t[86])/3 + 
       (1567*t[87])/288 + (2615*t[88])/64 + (29873*t[89])/192 - 
       (31*t[95])/6 - (94*t[96])/9 - t[97]/12 - (517*t[98])/3 + 139*t[99] + 
       (285*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-139*t[1])/36 + (61*t[2])/4 - t[3]/8 - 
       (269*t[4])/9 - (4183*t[5])/144 + (49*t[6])/3 - (589*t[7])/36 - 
       (469*t[8])/9 + (4759*t[9])/144 - (13295*t[10])/288 - 
       (8711*t[11])/144 - (3581*t[12])/288 - (1517*t[13])/108 - 
       (7411*t[14])/576 - (2201*t[15])/144 + t[16]/2 - 2*t[19] - 2*t[20] - 
       2*t[21] + 2*t[22] + 2*t[23] - t[25]/2 + (49*t[26])/36 - 4*t[27] + 
       3*t[28] - 2*t[29] - t[30] + 3*t[31] - t[32] + t[33] + (9*t[34])/2 + 
       (52*t[36])/9 - 2*t[37] - (85*t[38])/36 - (15*t[39])/2 - (3*t[40])/2 - 
       (13*t[41])/4 + (13*t[42])/4 - t[43]/4 + (27*t[44])/2 - (7*t[45])/2 - 
       (109*t[46])/24 + 7*t[47] - (85*t[48])/24 - (5849*t[49])/288 + 
       (575*t[50])/24 + (893*t[51])/64 - (275*t[52])/24 + (4469*t[53])/288 + 
       (425*t[54])/36 + t[58] - (347*t[59])/72 + (421*t[60])/144 - 
       (20605*t[61])/144 + (38923*t[62])/288 + (10357*t[63])/288 - 
       (9505*t[64])/96 + (12205*t[65])/216 + (3557*t[66])/72 - t[68]/2 - 
       t[69]/3 - 3*t[70] + 3*t[71] - 11*t[72] + (37*t[73])/2 - 
       (59*t[74])/18 - (107*t[75])/6 - (9*t[76])/2 - (15*t[77])/2 + 
       (31*t[78])/2 - (25*t[79])/2 - 16*t[80] + (151*t[81])/18 - 
       (331*t[82])/18 - (197*t[83])/9 + (1799*t[84])/72 + (3119*t[85])/72 - 
       (737*t[86])/18 + (71*t[87])/3 - (53*t[88])/72 + (3785*t[89])/288 + 
       (23*t[95])/9 - 14*t[96] - 13*t[97] - 12*t[98] - 26*t[99] + 
       (961*t[100])/6) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-25*t[1])/2 + (117*t[2])/4 + (9*t[3])/4 - (163*t[4])/4 + 
       (319*t[5])/8 - (485*t[6])/8 - (151*t[7])/4 - (141*t[8])/4 - 
       (811*t[9])/8 + 94*t[10] - (895*t[11])/8 - (799*t[12])/8 - 
       (11165*t[13])/72 - (4391*t[14])/48 + (5543*t[15])/144 - (3*t[16])/2 + 
       2*t[17] - 12*t[18] - 14*t[19] - 16*t[20] - 24*t[21] + 16*t[22] + 
       24*t[23] - 15*t[24] - 15*t[25] + 19*t[26] - 8*t[27] - t[29] + 
       22*t[30] + 4*t[31] - 12*t[32] - 12*t[33] + 6*t[36] + 11*t[37] - 
       3*t[38] + 5*t[39] - 5*t[40] - 11*t[41] + 5*t[42] + (73*t[43])/4 - 
       (37*t[44])/2 + (43*t[45])/2 + (39*t[46])/2 - 61*t[47] + 
       (425*t[48])/8 + (113*t[49])/2 + (473*t[50])/8 - (687*t[51])/16 - 
       (265*t[52])/8 + 20*t[53] - (675*t[54])/8 - 3*t[55] - 3*t[58] + 
       (3*t[59])/2 - (1379*t[60])/4 - (1111*t[61])/4 + (1249*t[62])/4 + 
       (1111*t[63])/4 - (409*t[64])/8 - (1457*t[65])/12 + (1591*t[66])/12 - 
       2*t[67] - 6*t[68] + 2*t[70] - 2*t[71] - 24*t[72] - 3*t[74] - 
       33*t[76] - 10*t[77] + 9*t[78] - 106*t[80] - (17*t[81])/2 + 
       (29*t[82])/2 + 4*t[83] - (99*t[84])/4 - (87*t[85])/2 - 164*t[86] + 
       144*t[87] - 29*t[88] - (81*t[89])/4 - 2*t[92] + 2*t[94] + 22*t[95] + 
       34*t[96] - 13*t[97] - 108*t[98] + 120*t[99] + 162*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((21*t[1])/2 + (127*t[2])/4 - (49*t[3])/4 - (369*t[4])/4 - 62*t[5] + 
       34*t[6] - (189*t[7])/4 + (445*t[8])/4 - 26*t[9] - (873*t[10])/4 - 
       77*t[11] + (31*t[12])/2 - (1919*t[13])/24 - (1987*t[14])/16 - 
       (1183*t[15])/24 - 4*t[16] - 2*t[17] + 4*t[18] - 2*t[19] + 16*t[20] + 
       16*t[21] - 8*t[22] - 16*t[23] + 7*t[24] - 16*t[25] + 3*t[26] - 
       2*t[27] - 9*t[29] - 2*t[30] + 12*t[31] + 16*t[32] + 28*t[33] + 
       2*t[34] + t[36] + 17*t[37] + 14*t[38] - 35*t[39] + 5*t[40] + 5*t[41] - 
       3*t[42] - (81*t[43])/4 - (35*t[44])/2 + (7*t[45])/2 - (23*t[46])/2 - 
       14*t[47] + (91*t[48])/4 + (149*t[49])/4 - (5*t[50])/4 + 
       (255*t[51])/16 + (21*t[52])/4 + (33*t[53])/4 + (157*t[54])/2 + 
       5*t[58] - 10*t[59] - 98*t[60] - 168*t[61] + (1681*t[62])/8 + 
       (1455*t[63])/8 + (633*t[64])/4 - (361*t[65])/12 - (1901*t[66])/12 + 
       (7*t[67])/2 + 12*t[68] + 8*t[69] - 6*t[70] + 6*t[71] + 4*t[72] - 
       7*t[76] - 43*t[77] - 34*t[78] - 32*t[80] + 17*t[81] + 23*t[82] - 
       (103*t[84])/4 + (335*t[85])/4 - 8*t[86] - (9*t[87])/4 - 
       (273*t[88])/8 - (549*t[89])/8 + 4*t[92] - 4*t[94] + 6*t[95] + 
       6*t[96] - 7*t[97] - 108*t[98] + 120*t[99] + 162*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((21*t[1])/4 + (149*t[2])/8 + (397*t[3])/8 + (193*t[4])/8 - 
       (251*t[5])/16 - 5*t[6] - (95*t[7])/4 - (145*t[8])/4 - (291*t[9])/16 + 
       (353*t[10])/16 - (201*t[11])/8 - (249*t[12])/8 - (53*t[13])/6 - 
       (1387*t[14])/32 - (10303*t[15])/288 + t[17]/4 + t[18] - 2*t[19] + 
       3*t[20] - 2*t[21] - t[22] + 2*t[23] - 2*t[24] - 6*t[26] + t[27] + 
       2*t[28] + (5*t[29])/2 - 3*t[30] - 2*t[31] - 6*t[32] - t[33]/2 + 
       (21*t[34])/2 - 4*t[35] - 3*t[36] - t[37]/2 + 6*t[38] - t[39] - 
       2*t[40] - (21*t[41])/4 + (19*t[42])/4 - t[43] - t[44]/4 - 12*t[45] - 
       t[46]/2 + 20*t[47] - (43*t[48])/4 + (23*t[49])/16 + (17*t[50])/4 + 
       (3*t[51])/32 - (23*t[52])/4 - (135*t[53])/16 - (195*t[54])/8 + 
       t[55]/2 + t[58] - (67*t[59])/4 - (227*t[60])/4 - (1335*t[61])/8 + 
       (279*t[62])/4 - (49*t[63])/2 + (1285*t[64])/16 + (143*t[65])/24 + 
       (1253*t[66])/24 - t[67]/2 + t[68]/2 - t[69] + 3*t[70] - 3*t[71] + 
       t[72] + 4*t[73] - 2*t[74] - 2*t[75] + 6*t[76] + 2*t[77] - 
       (45*t[78])/2 + 11*t[79] - 17*t[80] - (17*t[81])/4 - (21*t[82])/4 - 
       10*t[83] - (3*t[84])/8 + (117*t[85])/4 + 9*t[86] + (85*t[87])/4 + 
       (29*t[88])/8 + (369*t[89])/16 + t[90] + 2*t[95] - 3*t[96] - 
       (15*t[97])/2 + 60*t[98] - 136*t[99] + 163*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-709*t[1])/36 - (1007*t[2])/72 - (353*t[3])/9 - (4715*t[4])/72 + 
       (2887*t[5])/144 - (473*t[6])/12 - (505*t[7])/18 - (9575*t[8])/72 + 
       (4631*t[9])/144 + (24619*t[10])/144 - (1819*t[11])/72 + 
       (2509*t[12])/72 - (6251*t[13])/162 + (104291*t[14])/864 + 
       (35045*t[15])/864 + (3*t[16])/4 + 4*t[25] + (149*t[26])/18 - 
       (4*t[27])/9 + (143*t[28])/6 - (7*t[29])/2 - t[30]/6 + (334*t[31])/9 + 
       3*t[32] - 3*t[33] - (79*t[34])/18 - (5*t[35])/3 + (17*t[36])/3 - 
       (31*t[37])/18 - (505*t[38])/36 + (203*t[39])/6 - (359*t[40])/18 + 
       (79*t[41])/36 - (79*t[42])/36 - (23*t[43])/6 + (221*t[44])/12 + 
       (238*t[45])/9 + (47*t[46])/4 - (449*t[47])/9 - (49*t[48])/12 + 
       (2939*t[49])/144 + (35*t[50])/9 - (2849*t[51])/288 - (152*t[52])/9 + 
       (3347*t[53])/144 + (79*t[54])/6 - (26*t[58])/9 + (631*t[59])/72 - 
       (1637*t[60])/36 + (12085*t[61])/72 + (139*t[62])/144 + 
       (34829*t[63])/144 - (10849*t[64])/48 - (1043*t[65])/12 - 
       (22609*t[66])/216 - (7*t[68])/2 - t[69]/3 + (41*t[70])/9 - 
       (41*t[71])/9 - (20*t[72])/3 + (29*t[73])/6 - 6*t[74] + (331*t[75])/6 + 
       (1195*t[76])/36 + (409*t[77])/18 - (361*t[78])/36 - (233*t[79])/3 - 
       (134*t[80])/3 + (14*t[81])/9 + (17*t[82])/18 - (835*t[83])/9 - 
       (101*t[84])/2 - (620*t[85])/9 - (974*t[86])/3 - (5413*t[87])/72 - 
       (1337*t[88])/16 - (1417*t[89])/24 + 2*t[93] + (50*t[95])/3 + 
       (605*t[96])/18 + (157*t[97])/12 + (550*t[98])/3 - 154*t[99] + 
       175*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-11*t[1])/4 + (97*t[2])/4 + (17*t[3])/2 - 
       143*t[4] - (255*t[5])/8 + (109*t[6])/2 + (45*t[7])/4 + (189*t[8])/4 + 
       (87*t[9])/8 - 11*t[10] - (389*t[11])/2 + (95*t[12])/8 - 
       (821*t[13])/6 - (187*t[14])/6 + (135*t[15])/16 - 8*t[25] + 
       (35*t[26])/2 + 2*t[27] - 3*t[28] + 3*t[29] + 6*t[30] + 7*t[31] + 
       3*t[32] - 3*t[33] + t[34]/2 + 9*t[36] - 4*t[37] - 8*t[38] - 2*t[39] - 
       8*t[40] - t[41]/4 + t[42]/4 + 3*t[43] + 2*t[45] - 5*t[46] - t[47] + 
       (57*t[48])/4 + (21*t[49])/4 + (159*t[50])/4 - (35*t[51])/8 - 
       (33*t[52])/4 + (63*t[53])/4 + (267*t[54])/4 + (7*t[58])/2 - 
       (5*t[59])/4 - 280*t[60] - 128*t[61] + (1469*t[62])/8 + 
       (2135*t[63])/8 + (271*t[64])/4 + (289*t[65])/3 + (944*t[66])/3 - 
       8*t[70] + 8*t[71] - 11*t[72] - 9*t[74] - 6*t[75] - (85*t[76])/2 - 
       13*t[77] + 37*t[78] + 12*t[79] - 35*t[80] - 33*t[81] + 28*t[82] - 
       8*t[83] - (167*t[84])/4 - (37*t[85])/2 - 6*t[86] + 119*t[87] + 
       (45*t[88])/2 - (41*t[89])/2 + 12*t[95] - 4*t[96] - (33*t[97])/2 - 
       192*t[98] + 216*t[99] + 180*t[100]) + HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - u]*((-26*t[1])/3 + (175*t[2])/12 + (817*t[3])/48 - 
       (1055*t[4])/48 + (213*t[5])/32 - (2651*t[6])/96 - (721*t[7])/16 - 
       (397*t[8])/16 - (211*t[9])/32 - (937*t[10])/96 - (5525*t[11])/96 + 
       (805*t[12])/48 + (2147*t[13])/288 - (46463*t[14])/576 - 
       (631*t[15])/576 + t[16]/2 + (4*t[25])/3 + (53*t[26])/6 + 
       (79*t[27])/6 - 5*t[28] - t[29]/2 - (11*t[30])/2 - (19*t[31])/6 - 
       t[32] + t[33] + (17*t[34])/3 + 7*t[35] + t[36]/2 + (13*t[37])/6 - 
       (17*t[38])/3 - (5*t[39])/3 + (25*t[40])/12 - (17*t[41])/6 + 
       (17*t[42])/6 - (25*t[43])/8 - (9*t[44])/4 + (61*t[45])/24 + 
       (145*t[46])/12 - (73*t[47])/12 - (357*t[48])/32 - (1351*t[49])/32 + 
       (767*t[50])/32 + (1463*t[51])/192 - (447*t[52])/32 + (855*t[53])/32 + 
       (179*t[54])/32 + (2*t[58])/3 - (19*t[59])/6 - (256*t[60])/3 - 
       (1297*t[61])/6 + (1067*t[62])/6 - (95*t[63])/12 + (73*t[64])/3 + 
       (8867*t[65])/72 + (7009*t[66])/72 - 8*t[68] - (5*t[70])/3 + 
       (5*t[71])/3 + (16*t[72])/3 + 14*t[73] - t[74]/2 - 14*t[75] - 
       (11*t[76])/3 - (19*t[77])/3 + (31*t[78])/3 - 4*t[79] - (259*t[80])/6 + 
       (41*t[81])/4 + (22*t[82])/3 - (49*t[83])/6 + (125*t[84])/6 + 
       (1163*t[85])/24 - (125*t[86])/4 + (1561*t[87])/24 + (415*t[88])/16 + 
       (485*t[89])/12 - t[91]/12 + t[93] - 5*t[95] - (58*t[96])/3 - 
       (27*t[97])/2 - 148*t[98] + 158*t[99] + 183*t[100]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*((223*t[1])/12 + 
       (71*t[2])/24 - (1105*t[3])/48 + (1573*t[4])/48 - (3575*t[5])/96 + 
       (2221*t[6])/32 + (581*t[7])/48 + (3781*t[8])/48 + (3425*t[9])/96 + 
       (6421*t[10])/96 - (8135*t[11])/96 - (1331*t[12])/48 - 
       (613*t[13])/864 + (4517*t[14])/576 - (585*t[15])/64 + t[16]/4 - 
       4*t[25] - (34*t[26])/3 + (5*t[27])/6 + 6*t[28] + (3*t[29])/2 + 
       5*t[30] + (5*t[31])/3 + t[32] - t[33] - (11*t[34])/6 - 12*t[35] + 
       28*t[36] + (11*t[37])/3 + (31*t[38])/3 - (43*t[39])/4 - (43*t[40])/6 + 
       (11*t[41])/12 - (11*t[42])/12 + (7*t[43])/8 - (61*t[44])/4 - 
       (155*t[45])/24 - (35*t[46])/2 + (167*t[47])/12 + (717*t[48])/32 + 
       (425*t[49])/96 + (587*t[50])/96 + (1615*t[51])/192 + (1093*t[52])/96 - 
       (361*t[53])/96 + (217*t[54])/32 + (19*t[58])/6 - (20*t[59])/3 - 
       (169*t[60])/12 - (1303*t[61])/24 + (1121*t[62])/48 - (3797*t[63])/48 - 
       (1067*t[64])/16 + (863*t[65])/8 + (541*t[66])/72 + (5*t[68])/2 - 
       t[69] - (17*t[70])/3 + (17*t[71])/3 - (3*t[72])/2 + 10*t[73] - 
       (83*t[74])/2 - 7*t[75] - (337*t[76])/12 + (29*t[77])/6 + 
       (445*t[78])/12 + 32*t[79] - (39*t[80])/2 + (59*t[81])/6 - 
       (43*t[82])/3 - (8*t[83])/3 + (29*t[84])/2 - (7*t[85])/3 + 
       (15*t[86])/4 + (277*t[87])/6 + (33*t[88])/2 + (151*t[89])/2 + 
       t[91]/12 + t[93] - 5*t[95] - (7*t[96])/3 - 6*t[97] - 148*t[98] + 
       158*t[99] + 183*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((11*t[1])/6 - (23*t[2])/6 + (107*t[3])/4 + 
       (41*t[4])/4 - (99*t[5])/8 - (163*t[6])/6 + (203*t[7])/6 - 
       (43*t[8])/6 + (151*t[9])/24 - (321*t[10])/8 - 30*t[11] + 
       (199*t[12])/12 + (3211*t[13])/216 - (9007*t[14])/144 - 
       (4343*t[15])/144 - t[16]/3 - t[17] + (16*t[18])/3 - (16*t[19])/3 + 
       7*t[20] + (34*t[21])/3 - t[22] - (34*t[23])/3 + (23*t[24])/3 - 
       4*t[25] + 6*t[27] - 2*t[29] + t[30] + 5*t[31] + 2*t[32] + 
       (7*t[33])/3 + (16*t[34])/3 - (2*t[36])/3 + (22*t[38])/3 - 
       (7*t[39])/3 - 2*t[40] + 2*t[41] + (2*t[42])/3 - (43*t[43])/4 + 
       (11*t[44])/3 - (11*t[45])/2 + 3*t[46] + (74*t[47])/3 - (67*t[48])/12 - 
       (73*t[49])/24 + (7*t[50])/4 + (325*t[51])/48 - (61*t[52])/12 + 
       (73*t[53])/24 - (83*t[54])/6 + 2*t[58] - (25*t[59])/3 + 
       (77*t[60])/12 - (397*t[61])/4 + (317*t[62])/24 - (2521*t[63])/24 + 
       (291*t[64])/8 + (4487*t[65])/36 + (953*t[66])/36 + t[67]/3 - 
       (2*t[68])/3 + 9*t[69] - (29*t[70])/3 + (29*t[71])/3 - 4*t[72] - 
       (14*t[74])/3 + 14*t[76] + (2*t[77])/3 - (40*t[78])/3 + (80*t[80])/3 + 
       t[81] + (17*t[82])/3 + 12*t[83] - (25*t[84])/4 + (265*t[85])/12 + 
       (152*t[86])/3 + (49*t[87])/12 - (5*t[88])/8 + (689*t[89])/8 + 
       2*t[90] + 2*t[92] - 2*t[94] + 64*t[98] - 60*t[99] + 189*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-7*t[1])/3 - (7*t[2])/6 + (499*t[3])/12 + (301*t[4])/12 + 
       (107*t[5])/8 - (87*t[6])/2 - (373*t[7])/12 - (1213*t[8])/12 - 
       (425*t[9])/24 + (95*t[10])/24 + (13*t[11])/2 - (79*t[12])/6 + 
       (1867*t[13])/72 - (7591*t[14])/144 - (7297*t[15])/432 + t[17] + 
       (4*t[19])/3 - 5*t[20] - 6*t[21] + 5*t[22] + 6*t[23] - (13*t[24])/3 + 
       (10*t[27])/3 - (17*t[29])/3 + (25*t[30])/3 - (70*t[32])/3 + 
       (5*t[33])/3 + (26*t[34])/3 - (8*t[37])/3 - (26*t[39])/3 + 
       (26*t[40])/3 - (17*t[41])/3 + (17*t[42])/3 + (11*t[43])/6 + t[44]/6 - 
       (10*t[45])/3 + (5*t[46])/3 + 5*t[47] - (87*t[48])/4 - (39*t[49])/8 + 
       (25*t[50])/12 + (41*t[51])/48 - (145*t[52])/12 + (39*t[53])/8 - 
       (265*t[54])/6 - 2*t[55] - (19*t[59])/3 - (427*t[60])/12 - 
       (1919*t[61])/12 + (641*t[62])/8 - (1487*t[63])/24 + (1165*t[64])/24 - 
       (329*t[65])/36 - (205*t[66])/12 - 2*t[68] - (16*t[70])/3 + 
       (16*t[71])/3 - 13*t[72] - (8*t[74])/3 + (26*t[76])/3 + (4*t[77])/3 - 
       17*t[78] - (32*t[80])/3 + 2*t[81] + t[82] + 2*t[83] - (19*t[84])/12 + 
       (319*t[85])/12 - (14*t[86])/3 + (47*t[87])/12 - (593*t[88])/24 + 
       (617*t[89])/24 + (16*t[95])/3 + (28*t[96])/3 - (14*t[97])/3 + 
       64*t[98] - 60*t[99] + 189*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*((-53*t[1])/6 + 18*t[3] - (991*t[4])/6 - 
       (77*t[5])/24 + (29*t[6])/2 + (77*t[7])/3 + (203*t[8])/3 + 
       (41*t[9])/24 - (130*t[10])/3 - (581*t[11])/12 + (3943*t[12])/24 - 
       (1535*t[13])/36 - (5875*t[14])/48 + (457*t[15])/48 - 3*t[16] - 
       9*t[25] + (49*t[26])/3 - 12*t[27] + 12*t[31] + t[36]/3 + 9*t[37] - 
       (22*t[38])/3 - 3*t[45] - (7*t[46])/2 + 6*t[47] + (11*t[48])/2 - 
       (37*t[49])/12 + (5*t[50])/2 + (567*t[51])/16 + (7*t[52])/2 + 
       (703*t[53])/12 + (134*t[54])/3 + (2*t[59])/3 - (1927*t[60])/6 - 
       (1607*t[61])/6 + (1801*t[62])/24 + (823*t[63])/24 + (755*t[64])/2 + 
       (1933*t[65])/18 + (643*t[66])/6 + 3*t[68] - 6*t[70] + 6*t[71] - 
       12*t[72] - 54*t[73] - (49*t[74])/3 + 210*t[75] + 12*t[76] - 3*t[77] - 
       18*t[78] + 14*t[79] + 6*t[80] + (29*t[81])/3 + (52*t[82])/3 - 
       (212*t[83])/3 - (254*t[84])/3 - (116*t[85])/3 + (308*t[86])/3 + 
       113*t[87] + (56*t[88])/3 - (271*t[89])/24 + (98*t[95])/3 + 6*t[96] - 
       3*t[97] + 72*t[98] - 108*t[99] + 194*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((25*t[1])/6 + (9*t[2])/2 + 6*t[3] - (116*t[4])/3 - (95*t[5])/24 - 
       (103*t[6])/2 - (67*t[7])/3 - (629*t[8])/6 + (167*t[9])/24 - 
       (937*t[10])/12 - (257*t[11])/12 + (2023*t[12])/24 + (2923*t[13])/36 - 
       (7093*t[14])/48 + (2483*t[15])/48 + 3*t[25] - (35*t[26])/3 + 
       12*t[31] + (19*t[36])/3 + 3*t[37] + (26*t[38])/3 - 12*t[39] + 
       6*t[40] - 3*t[45] + (29*t[46])/2 + 6*t[47] - (43*t[48])/2 - 
       (341*t[49])/6 + (23*t[50])/2 + (1045*t[51])/16 - (11*t[52])/2 + 
       (265*t[53])/3 + (331*t[54])/6 - (28*t[59])/3 - (275*t[60])/3 - 
       (1745*t[61])/6 + (5527*t[62])/24 - (3983*t[63])/24 + (499*t[64])/2 + 
       (2125*t[65])/18 + (277*t[66])/6 + 6*t[68] - 6*t[70] + 6*t[71] + 
       72*t[72] - 54*t[73] - (49*t[74])/3 + 210*t[75] + 12*t[76] - 9*t[77] - 
       18*t[78] - 34*t[79] + 6*t[80] + (38*t[81])/3 - (83*t[82])/3 - 
       (428*t[83])/3 - (92*t[84])/3 - (187*t[85])/6 - (124*t[86])/3 - 
       (5*t[87])/2 - (469*t[88])/12 + (1697*t[89])/24 + 3*t[90] + 12*t[93] + 
       (98*t[95])/3 + 6*t[96] - 3*t[97] + 72*t[98] - 108*t[99] + 
       194*t[100]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((143*t[1])/2 - 9*t[2] + (81*t[3])/2 + (51*t[4])/2 + (555*t[5])/8 - 
       (1609*t[6])/8 + 40*t[7] - 227*t[8] - (263*t[9])/8 - (2729*t[10])/8 + 
       (1843*t[11])/8 - (421*t[12])/4 + (3187*t[13])/12 - (7237*t[14])/24 - 
       (417*t[15])/16 + 6*t[16] + 6*t[25] - 81*t[26] - 18*t[29] + 2*t[30] - 
       26*t[31] + 3*t[34] + 2*t[35] + 3*t[36] - t[37] + 73*t[38] + 
       (15*t[39])/2 - (3*t[40])/2 - (3*t[41])/2 + (3*t[42])/2 + 4*t[43] + 
       (93*t[44])/2 - 24*t[45] - 48*t[46] + 48*t[47] - (449*t[48])/8 - 
       (411*t[49])/8 + (435*t[50])/8 + (261*t[51])/2 - (555*t[52])/8 + 
       (303*t[53])/8 - (1001*t[54])/8 - 3*t[58] - 35*t[59] + 139*t[60] - 
       (1261*t[61])/4 - (259*t[62])/8 - (877*t[63])/8 + (1925*t[64])/4 - 
       (335*t[65])/4 - (1591*t[66])/4 + t[67] + 6*t[69] - 6*t[70] + 6*t[71] + 
       6*t[72] + 42*t[73] - 9*t[74] - 78*t[75] + 47*t[76] - 63*t[78] + 
       6*t[79] + 66*t[80] + (3*t[81])/2 + (53*t[82])/2 + 120*t[83] - 
       (33*t[84])/4 + (45*t[85])/2 + 122*t[86] + 86*t[87] + (95*t[88])/2 - 
       (155*t[89])/2 - 6*t[95] + 3*t[97] + 324*t[98] - 324*t[99] + 
       198*t[100]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-33*t[1] - 12*t[2] - 15*t[3] - 7*t[4] + (769*t[5])/8 - (71*t[6])/8 - 
       (5*t[7])/2 + (11*t[8])/2 - (679*t[9])/8 + (1267*t[10])/8 - 
       (823*t[11])/8 - (61*t[12])/2 - (505*t[13])/12 - (5*t[14])/48 + 
       (4235*t[15])/48 + 39*t[26] + 26*t[28] + 6*t[30] - 6*t[34] - 24*t[35] + 
       57*t[36] - 6*t[37] - 36*t[38] + 15*t[39] - 14*t[40] + 3*t[41] - 
       3*t[42] + (45*t[43])/2 + 2*t[44] + 3*t[45] + 66*t[46] - 6*t[47] + 
       (105*t[48])/8 + (721*t[49])/8 - (183*t[50])/8 - (2167*t[51])/16 + 
       (135*t[52])/8 - (625*t[53])/8 - (659*t[54])/8 + 24*t[59] - 
       (381*t[60])/2 + (1051*t[61])/4 + (159*t[62])/4 + (411*t[63])/4 - 
       (873*t[64])/8 + (3113*t[65])/12 + (2987*t[66])/12 + 6*t[70] - 
       6*t[71] + 6*t[72] + 54*t[73] - 57*t[74] - 88*t[75] + 42*t[76] + 
       21*t[77] - 72*t[78] + 26*t[79] + 84*t[80] + (29*t[81])/2 + 
       (19*t[82])/2 + 82*t[83] - (49*t[84])/4 - 14*t[85] - 72*t[86] + 
       (65*t[87])/2 + (83*t[88])/4 + (787*t[89])/4 - 6*t[95] + 18*t[96] + 
       12*t[97] + 324*t[98] - 324*t[99] + 198*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      (t[1] + (23*t[2])/2 + (29*t[3])/4 - (109*t[4])/2 - t[5] + 
       (147*t[6])/4 + 14*t[7] + (107*t[8])/2 - (43*t[9])/2 - (91*t[10])/4 - 
       46*t[11] + (97*t[12])/4 - (475*t[13])/72 - (1403*t[14])/24 + 
       (163*t[15])/24 + 2*t[26] - 5*t[27] - 3*t[28] - 6*t[30] - 13*t[31] + 
       2*t[34] + 3*t[36] - 10*t[37] - 2*t[38] - 9*t[39] - 2*t[40] - t[41] + 
       t[42] - 3*t[43] - 4*t[45] + 3*t[46] + 8*t[47] + 15*t[48] - 
       (149*t[49])/4 + (41*t[50])/2 + (155*t[51])/8 - (17*t[52])/2 + 
       (85*t[53])/4 + 33*t[54] + 2*t[58] - t[59]/2 - 70*t[60] - 
       (223*t[61])/2 + (427*t[62])/8 - (463*t[63])/8 + (507*t[64])/4 + 
       95*t[65] + (901*t[66])/6 + 6*t[69] - 2*t[70] + 2*t[71] + 15*t[72] - 
       3*t[74] - 6*t[75] - 46*t[76] - 5*t[77] + 43*t[78] + 12*t[79] - 
       18*t[80] - (61*t[81])/2 + (19*t[82])/2 + 4*t[83] + (51*t[84])/4 - 
       (59*t[85])/2 + 48*t[86] + 104*t[87] + 69*t[88] + (75*t[89])/4 - 
       16*t[96] - 9*t[97] - 264*t[98] + 216*t[99] + 198*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((137*t[1])/8 - (61*t[2])/8 + (399*t[3])/8 + (119*t[4])/2 + 
       (331*t[5])/8 - 82*t[6] - (215*t[7])/8 - (1105*t[8])/8 - (181*t[9])/4 - 
       (987*t[10])/16 + (179*t[11])/4 - (1217*t[12])/16 + (2405*t[13])/48 - 
       (2693*t[14])/24 - (40*t[15])/3 + (9*t[19])/2 + 4*t[25] - 
       (67*t[26])/2 + 2*t[27] + 3*t[28] + 6*t[30] - 5*t[31] + (17*t[34])/4 - 
       9*t[35] - (7*t[36])/2 + (7*t[37])/2 + (97*t[38])/4 - (53*t[39])/4 + 
       13*t[40] - (17*t[41])/8 + (17*t[42])/8 + 3*t[43] - 6*t[44] - 7*t[45] + 
       5*t[46] + 14*t[47] - (441*t[48])/8 - (353*t[49])/16 + (59*t[50])/8 + 
       (409*t[51])/16 - (245*t[52])/8 + (5*t[53])/16 - (433*t[54])/8 - 
       4*t[58] - (79*t[59])/8 + (451*t[60])/8 - (883*t[61])/8 + 
       (533*t[62])/16 - (341*t[63])/16 + (819*t[64])/16 - (113*t[65])/6 + 
       (537*t[66])/8 + 4*t[70] - 4*t[71] + 10*t[72] - 52*t[73] + 
       (9*t[74])/2 + 67*t[75] - (17*t[76])/4 - (11*t[77])/2 - (71*t[78])/4 - 
       5*t[79] + 55*t[80] + (25*t[81])/4 + (39*t[82])/4 + 43*t[83] + 
       (15*t[84])/4 + (173*t[85])/8 + 43*t[86] - (351*t[87])/8 - 
       (151*t[88])/16 - (33*t[89])/2 - 3*t[95] - (23*t[96])/2 + 
       (21*t[97])/4 - 12*t[98] - 48*t[99] + 204*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*(24*t[1] + (25*t[3])/2 + 
       84*t[4] + (11*t[5])/4 - (45*t[6])/4 + (7*t[7])/2 - (43*t[8])/2 - 
       (73*t[9])/4 + (175*t[10])/2 + (65*t[11])/4 - (563*t[12])/4 - 
       (365*t[13])/12 + (263*t[14])/6 - (577*t[15])/24 + 4*t[16] - 10*t[25] - 
       16*t[26] - 52*t[36] - 30*t[37] + 20*t[38] - 22*t[46] - (33*t[48])/4 + 
       86*t[49] + (43*t[50])/4 - (17*t[51])/2 - (43*t[52])/4 - 86*t[53] - 
       (91*t[54])/4 - 35*t[59] + (155*t[60])/2 - (19*t[61])/2 - 
       (317*t[62])/2 + (109*t[63])/2 + (269*t[64])/4 - (550*t[65])/3 - 
       (181*t[66])/3 - 4*t[67] + 30*t[70] - 30*t[71] - 24*t[73] + 24*t[74] + 
       38*t[75] - 22*t[79] - 6*t[80] - 2*t[81] + 2*t[82] + 33*t[83] + 
       (5*t[84])/2 + (19*t[85])/2 + 70*t[86] - (211*t[87])/2 - 
       (211*t[88])/4 - (239*t[89])/4 - 24*t[99] + 210*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*((23*t[3])/2 + 57*t[4] + 
       (101*t[5])/2 + 6*t[6] - 14*t[7] - 37*t[8] - 59*t[9] - 63*t[10] - 
       39*t[11] - 37*t[12] + (763*t[13])/12 - (315*t[14])/2 + 
       (521*t[15])/12 - 10*t[36] - 23*t[46] + 3*t[48] + 54*t[49] + 26*t[50] + 
       (61*t[51])/2 - 26*t[52] - 54*t[53] - 38*t[54] + 58*t[60] - 232*t[61] + 
       (635*t[62])/4 - (419*t[63])/4 + 60*t[64] + (124*t[65])/3 + 
       (784*t[66])/3 - 24*t[73] + 32*t[75] - 10*t[79] - 23*t[81] + 23*t[82] + 
       40*t[83] + (7*t[84])/2 - 17*t[85] - 10*t[86] - 75*t[87] - 
       (75*t[88])/2 + 74*t[89] - 24*t[99] + 210*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*(-15*t[1] + 10*t[2] - 
       28*t[3] - (179*t[4])/8 + (325*t[5])/16 - (53*t[6])/16 - 
       (851*t[7])/16 - (19*t[8])/16 + (547*t[9])/8 + (655*t[10])/8 - 
       (343*t[11])/4 - (13*t[12])/4 - (6127*t[13])/288 - (4981*t[14])/96 - 
       (31*t[15])/2 + t[16] + 4*t[17] - 4*t[18] + 2*t[19] - 2*t[20] - 
       6*t[21] + (25*t[22])/2 + 6*t[23] + t[24] - 3*t[25] + (17*t[26])/2 + 
       (23*t[27])/2 - 4*t[28] - t[29]/2 - 13*t[30] - 3*t[31] + t[32]/2 + 
       4*t[33] + 12*t[34] + 6*t[35] + t[36] + 8*t[37] - (25*t[38])/2 + 
       3*t[39] - 10*t[40] + (5*t[41])/2 - (9*t[42])/2 + (51*t[43])/16 + 
       (9*t[44])/4 + (95*t[45])/8 + 5*t[46] - (59*t[47])/4 - (111*t[48])/8 + 
       (267*t[49])/16 + (149*t[50])/8 - (489*t[51])/32 + (67*t[52])/8 - 
       (211*t[53])/16 + (15*t[54])/2 + (3*t[56])/2 - 4*t[57] - t[58] + 
       (21*t[59])/2 - (945*t[60])/8 - (427*t[61])/2 + (3117*t[62])/16 + 
       (2021*t[63])/16 + (265*t[64])/4 - (343*t[65])/12 + (1535*t[66])/12 - 
       t[67] - 13*t[68] + 2*t[69] + 4*t[70] - 4*t[71] + 2*t[75] + 
       (71*t[76])/2 - t[77]/2 - 43*t[78] + 8*t[79] - 27*t[80] + 
       (47*t[81])/4 + (41*t[82])/4 - 3*t[83] - (45*t[84])/2 + (321*t[85])/8 - 
       91*t[86] + (59*t[87])/8 - (285*t[88])/16 + (107*t[89])/8 - t[91]/6 - 
       t[92] + t[94] + 6*t[95] - 2*t[96] - 4*t[97] + 72*t[98] - 128*t[99] + 
       211*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*
      (20*t[1] - (269*t[2])/8 - (865*t[3])/16 - (447*t[4])/8 - 
       (489*t[5])/16 + (389*t[6])/8 - (139*t[7])/4 + (469*t[8])/4 + 
       (775*t[9])/16 - (249*t[10])/16 - (823*t[11])/8 - (39*t[12])/4 - 
       (2509*t[13])/72 + (161*t[14])/96 - (421*t[15])/144 - 2*t[16] + 
       (5*t[17])/4 + 2*t[19] + 4*t[20] + t[21] - 8*t[22] - t[23] + 7*t[24] - 
       (27*t[25])/2 - (31*t[26])/2 + t[27] + 4*t[28] - (11*t[29])/4 + 
       12*t[30] - 2*t[31] + 8*t[32] + 14*t[33] + 9*t[34] - 12*t[35] + 
       19*t[36] - 4*t[37] + 12*t[38] - 11*t[39] - 16*t[40] + (7*t[41])/4 - 
       (7*t[42])/4 + (33*t[43])/8 - (45*t[44])/8 - (13*t[45])/4 - 
       (5*t[46])/4 + (15*t[47])/2 + (133*t[48])/4 + (3*t[49])/16 + 5*t[50] + 
       (425*t[51])/32 + 21*t[52] + (253*t[53])/16 + (65*t[54])/2 - t[55]/2 - 
       t[56] - 2*t[57] + t[58] + (7*t[59])/4 - (409*t[60])/8 - 
       (767*t[61])/8 + (805*t[62])/8 + (245*t[63])/8 - (159*t[64])/16 + 
       (187*t[65])/3 + (277*t[66])/2 + t[67] - (3*t[68])/2 + 5*t[69] - 
       6*t[72] - 6*t[73] - (77*t[74])/2 + 18*t[75] - 6*t[76] + (7*t[77])/2 + 
       29*t[78] - 22*t[79] + 36*t[80] + (23*t[81])/2 + 6*t[82] - 
       (11*t[83])/2 - (109*t[84])/4 + 11*t[85] - 39*t[86] + (71*t[87])/2 + 
       (69*t[88])/4 + 35*t[89] - t[94] + t[95] + 2*t[97] + 72*t[98] - 
       128*t[99] + 211*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 
       1 - u]*((247*t[1])/6 - (148*t[2])/3 + (2087*t[3])/12 - (599*t[4])/24 + 
       (101*t[5])/8 - (6403*t[6])/24 + (261*t[7])/4 - (1129*t[8])/4 + 
       (777*t[9])/8 + (407*t[10])/48 - (31*t[11])/24 + (809*t[12])/48 + 
       70*t[13] - (40547*t[14])/288 - (5221*t[15])/72 - 4*t[16] + 12*t[18] + 
       24*t[20] + 16*t[21] - 16*t[23] + 24*t[24] - (34*t[25])/3 - 
       (61*t[26])/3 + (94*t[27])/3 + 10*t[28] + 13*t[29] + 4*t[30] - 
       (10*t[31])/3 - 21*t[32] + (34*t[34])/3 - 20*t[35] + 11*t[36] + 
       (115*t[37])/3 + (101*t[38])/3 - (118*t[39])/3 + (149*t[40])/3 - 
       (11*t[41])/3 + (29*t[42])/3 - (85*t[43])/4 - (41*t[44])/2 - 
       (103*t[45])/6 + (77*t[46])/3 + (157*t[47])/3 - (543*t[48])/8 + 
       (295*t[49])/16 - (375*t[50])/8 + (1475*t[51])/96 - (345*t[52])/8 + 
       (697*t[53])/16 + (265*t[54])/4 - (20*t[58])/3 - (109*t[59])/3 - 
       (7669*t[60])/24 - (13055*t[61])/24 + (6755*t[62])/48 + 
       (5093*t[63])/48 + (23201*t[64])/48 - (12377*t[65])/72 - 
       (29287*t[66])/72 + 4*t[67] + 16*t[68] - 4*t[69] - (130*t[70])/3 + 
       (130*t[71])/3 + (8*t[72])/3 - 20*t[73] - 19*t[74] + 20*t[75] + 
       (317*t[76])/3 - (107*t[77])/3 - (427*t[78])/3 + (290*t[80])/3 + 
       (29*t[81])/2 + (109*t[82])/6 + (80*t[83])/3 - (4361*t[84])/24 + 
       (193*t[85])/24 + 132*t[86] - (5377*t[87])/24 - (3659*t[88])/16 - 
       (7631*t[89])/48 + 6*t[92] - 6*t[94] + 50*t[95] + (190*t[96])/3 + 
       10*t[97] + 1048*t[98] - 1236*t[99] + 216*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((427*t[1])/6 - (19*t[2])/3 + (331*t[3])/12 - (2015*t[4])/24 - 
       (79*t[5])/24 - (819*t[6])/8 + (1723*t[7])/12 + (761*t[8])/12 + 
       (3913*t[9])/24 + (2401*t[10])/48 - (211*t[11])/24 - (13213*t[12])/48 + 
       (3401*t[13])/108 + (49337*t[14])/288 - (133*t[15])/8 + 12*t[16] + 
       12*t[18] - 4*t[19] - 24*t[20] + 8*t[21] + 12*t[22] - 8*t[23] - 
       22*t[25] - (23*t[26])/3 + (2*t[27])/3 - 10*t[28] + 13*t[29] - 
       16*t[30] - (62*t[31])/3 - 33*t[32] - 12*t[33] + (34*t[34])/3 + 
       20*t[35] + 53*t[36] - (5*t[37])/3 + (107*t[38])/3 + 22*t[39] + 
       (53*t[40])/3 - (5*t[41])/3 + (23*t[42])/3 - (125*t[43])/4 + 
       (7*t[44])/2 - (127*t[45])/6 + 19*t[46] + (181*t[47])/3 + 
       (263*t[48])/8 + (6287*t[49])/48 - (707*t[50])/24 - (7493*t[51])/96 - 
       (589*t[52])/24 - (6031*t[53])/48 + (305*t[54])/2 + 6*t[55] - 
       (20*t[58])/3 - (22*t[59])/3 - (6019*t[60])/24 + (85*t[61])/24 - 
       (12089*t[62])/48 - (6727*t[63])/48 + (575*t[64])/16 + 
       (10529*t[65])/24 - (21991*t[66])/72 - 6*t[67] - 24*t[68] - 
       (142*t[70])/3 + (142*t[71])/3 + 8*t[72] - 20*t[73] - 49*t[74] + 
       20*t[75] + (307*t[76])/3 - (37*t[77])/3 - (157*t[78])/3 - 40*t[79] + 
       126*t[80] + (169*t[81])/6 - (49*t[82])/6 + (80*t[83])/3 - 
       (379*t[84])/8 - (859*t[85])/24 + 156*t[86] - (4021*t[87])/24 - 
       (3111*t[88])/16 + (1321*t[89])/16 - 6*t[92] + 6*t[94] + 50*t[95] + 
       (190*t[96])/3 + 10*t[97] + 1048*t[98] - 1236*t[99] + 216*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-55*t[1])/3 + (73*t[2])/3 - (235*t[3])/12 - (215*t[4])/3 - 27*t[5] + 
       (367*t[6])/4 - (148*t[7])/3 - (407*t[8])/6 + (11*t[9])/6 - 
       (754*t[10])/3 - (157*t[11])/12 + (75*t[12])/2 + (16349*t[13])/108 - 
       (2881*t[14])/18 + (4433*t[15])/72 - t[17]/3 + (28*t[19])/3 + 
       24*t[20] + 8*t[21] - 20*t[22] - (40*t[23])/3 + (16*t[24])/3 - 
       (44*t[27])/3 + 20*t[28] - (62*t[29])/3 - 18*t[30] + 16*t[31] - 
       (67*t[32])/3 + 38*t[33] + (26*t[34])/3 - 14*t[35] + 8*t[36] - 
       (4*t[37])/3 - (29*t[38])/3 - (83*t[39])/3 + t[40]/3 - (11*t[41])/3 + 
       (11*t[42])/3 + (37*t[43])/3 + t[44]/2 - (22*t[45])/3 - (4*t[46])/3 + 
       (34*t[47])/3 - (17*t[48])/4 - (745*t[49])/6 + (303*t[50])/4 + 
       (379*t[51])/4 - (175*t[52])/4 + (497*t[53])/6 + (395*t[54])/4 + 
       (2*t[55])/3 + (55*t[59])/6 + (620*t[60])/3 - (611*t[61])/3 + 
       (4055*t[62])/12 - (797*t[63])/12 + (368*t[64])/3 + (277*t[65])/3 + 
       (1117*t[66])/9 - (4*t[68])/3 + 8*t[69] + (8*t[70])/3 - (8*t[71])/3 - 
       26*t[72] - 8*t[73] + 16*t[74] + 88*t[75] - (238*t[76])/3 + 
       (14*t[77])/3 + 197*t[78] - 68*t[79] + 26*t[80] + (2*t[81])/3 - 
       (157*t[82])/3 - 94*t[83] + 109*t[84] + (341*t[85])/6 - (140*t[86])/3 - 
       (131*t[87])/6 - (35*t[88])/12 + (305*t[89])/4 - 8*t[95] - 
       (170*t[96])/3 - (113*t[97])/3 - 368*t[98] + 368*t[99] + 224*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((145*t[1])/6 + (203*t[2])/6 - (167*t[3])/2 + (41*t[4])/2 - 
       (1489*t[5])/12 + (307*t[6])/6 + (2587*t[7])/12 + (2729*t[8])/12 + 
       (247*t[9])/2 + 57*t[10] + (297*t[11])/4 - (47*t[12])/3 - 
       (1075*t[13])/72 + (671*t[14])/24 + (817*t[15])/36 + (2*t[17])/3 - 
       (8*t[18])/3 + 12*t[19] - 16*t[20] - (68*t[21])/3 - (70*t[22])/3 + 
       (68*t[23])/3 - (34*t[24])/3 + 2*t[25] - (22*t[26])/3 - 2*t[27] - 
       28*t[28] + 2*t[29] + 14*t[30] - 2*t[31] + (14*t[32])/3 - 10*t[33] - 
       (41*t[34])/3 + 24*t[35] - 8*t[36] - 32*t[37] + 16*t[38] - 10*t[39] - 
       (49*t[40])/3 + (53*t[41])/6 - (61*t[42])/6 - (77*t[43])/12 + 
       (74*t[44])/3 - (7*t[45])/2 + (7*t[46])/3 + (148*t[47])/3 - 
       (67*t[48])/12 + (367*t[49])/12 + (1261*t[50])/12 - (581*t[51])/24 - 
       (235*t[52])/4 - (175*t[53])/12 - (187*t[54])/12 - (7*t[56])/3 - 
       12*t[57] + (16*t[58])/3 - (11*t[59])/3 - (325*t[60])/2 + 
       (225*t[61])/2 - (2119*t[62])/12 - (1099*t[63])/12 + (4129*t[64])/12 + 
       (443*t[65])/9 + (2978*t[66])/9 - (2*t[68])/3 + 4*t[69] + 
       (16*t[70])/3 - (16*t[71])/3 - 10*t[72] + 16*t[73] + 32*t[74] - 
       12*t[75] - (226*t[76])/3 + (26*t[77])/3 + (322*t[78])/3 - 6*t[79] + 
       (28*t[80])/3 - 63*t[81] + (14*t[82])/3 - 4*t[83] + (4*t[84])/3 - 
       (221*t[85])/2 + (752*t[86])/3 + (529*t[87])/2 + (529*t[88])/4 + 
       (1055*t[89])/12 + (2*t[90])/3 - (2*t[92])/3 - (2*t[94])/3 - 
       (32*t[97])/3 - 368*t[98] + 368*t[99] + 224*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-29*t[1])/6 - (383*t[2])/12 + 12*t[3] + (81*t[4])/8 + (351*t[5])/8 - 
       (3553*t[6])/24 - (863*t[7])/12 - (759*t[8])/4 - (1101*t[9])/8 + 
       (2315*t[10])/16 - (181*t[11])/6 - (541*t[12])/48 - (4531*t[13])/432 - 
       (12961*t[14])/96 + (2431*t[15])/36 - t[16] - (11*t[18])/3 + 2*t[19] - 
       5*t[20] - (14*t[21])/3 + (4*t[22])/3 + (14*t[23])/3 - (8*t[24])/3 - 
       8*t[25] + (9*t[26])/2 + 10*t[27] + 15*t[28] - 5*t[29] + 7*t[30] + 
       (31*t[31])/3 - (29*t[32])/3 + (29*t[33])/3 - (53*t[34])/3 - 20*t[35] + 
       t[36] + 18*t[37] + (23*t[38])/6 - 20*t[39] + (95*t[40])/6 + 
       (23*t[41])/6 - (25*t[42])/6 + (5*t[43])/12 - (14*t[44])/3 + 
       (77*t[45])/3 + (46*t[46])/3 - 60*t[47] - (179*t[48])/3 + 
       (1687*t[49])/48 - (41*t[50])/2 - (77*t[51])/96 - (27*t[52])/2 + 
       (145*t[53])/48 + (43*t[54])/8 - (15*t[58])/2 + (139*t[59])/12 - 
       (3497*t[60])/24 - (4043*t[61])/24 + (2425*t[62])/48 + (491*t[63])/48 - 
       (1999*t[64])/48 - (4061*t[65])/24 + (8563*t[66])/72 + 2*t[68] + 
       3*t[69] - (5*t[70])/3 + (5*t[71])/3 + (85*t[72])/3 - 20*t[73] + 
       (26*t[74])/3 + 48*t[75] + (301*t[76])/6 + (17*t[77])/2 - 
       (209*t[78])/3 - 20*t[79] - (119*t[80])/3 + (4*t[81])/3 - 
       (19*t[82])/2 - (29*t[83])/3 - (901*t[84])/8 - (1309*t[85])/24 - 
       (218*t[86])/3 - (2143*t[87])/24 - (3215*t[88])/48 - (1309*t[89])/48 + 
       (68*t[95])/3 + 36*t[96] + (131*t[97])/6 + 324*t[98] - 412*t[99] + 
       234*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((31*t[1])/12 - (329*t[2])/12 + (25*t[3])/24 - 
       (1063*t[4])/24 + (400*t[5])/3 - (1135*t[6])/24 - (535*t[7])/12 + 
       (2161*t[8])/12 - (1643*t[9])/12 + (2035*t[10])/48 - (473*t[11])/24 - 
       (1109*t[12])/48 + (9113*t[13])/216 - (2465*t[14])/96 + 
       (1853*t[15])/72 + (5*t[16])/6 + 4*t[19] + 2*t[20] + 5*t[21] - 
       2*t[22] - 5*t[23] + (19*t[25])/3 - 6*t[26] - (47*t[27])/3 - 15*t[28] + 
       (37*t[29])/3 - (49*t[30])/3 - (22*t[31])/3 + (49*t[32])/3 - 
       (22*t[33])/3 - (133*t[34])/6 + 18*t[35] + (74*t[36])/3 - 
       (41*t[37])/3 + 2*t[38] - (25*t[39])/3 + (85*t[40])/6 + (95*t[41])/12 - 
       (77*t[42])/12 - (23*t[43])/6 - (7*t[44])/2 + (7*t[45])/3 - 
       (97*t[46])/3 + (59*t[47])/3 + (739*t[48])/24 + (3317*t[49])/48 - 
       (1189*t[50])/24 + (847*t[51])/96 + (473*t[52])/24 - (463*t[53])/16 + 
       (154*t[54])/3 - (16*t[58])/3 + (103*t[59])/6 - (251*t[60])/8 + 
       (765*t[61])/8 - (6325*t[62])/48 + (4985*t[63])/48 + (5459*t[64])/48 - 
       (249*t[65])/8 + (113*t[66])/72 - (14*t[68])/3 + 5*t[69] - 
       (13*t[70])/3 + (13*t[71])/3 + 4*t[72] - 14*t[73] - (29*t[74])/3 + 
       20*t[75] + (123*t[76])/2 - (35*t[77])/6 - (365*t[78])/6 - 35*t[79] + 
       89*t[80] - (44*t[81])/3 + 33*t[82] - (236*t[83])/3 - (731*t[84])/8 - 
       (2417*t[85])/24 + 31*t[86] - (643*t[87])/24 - (1123*t[88])/48 - 
       (2929*t[89])/48 + 20*t[95] + (109*t[96])/3 + 26*t[97] + 324*t[98] - 
       412*t[99] + 234*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((55*t[1])/4 + (9*t[2])/4 + (5*t[3])/4 + 
       (665*t[4])/8 + (123*t[5])/8 - (19*t[6])/4 - (183*t[7])/4 - 
       (285*t[8])/4 - (97*t[9])/8 + (579*t[10])/16 - (211*t[11])/4 - 
       (907*t[12])/16 + (83*t[13])/3 - (8455*t[14])/96 + (685*t[15])/24 - 
       t[19] - 10*t[25] - 5*t[26] + 12*t[28] + 12*t[31] + (3*t[34])/2 - 
       12*t[35] - 20*t[36] + t[37] + (29*t[38])/2 + (23*t[39])/2 - 12*t[40] - 
       (3*t[41])/4 + (3*t[42])/4 + 12*t[45] + (15*t[46])/2 - 24*t[47] - 
       4*t[48] + (405*t[49])/16 + 9*t[50] - (79*t[51])/96 - (17*t[52])/2 - 
       (701*t[53])/16 - (113*t[54])/8 - (31*t[59])/4 + (1091*t[60])/24 - 
       (1357*t[61])/8 + (4141*t[62])/16 - (1021*t[63])/16 - (2433*t[64])/16 - 
       (2855*t[65])/72 + (2975*t[66])/24 + 6*t[72] + 12*t[74] + 40*t[75] - 
       (7*t[76])/2 + 11*t[77] + (35*t[78])/2 - 8*t[79] - 26*t[80] + 
       (15*t[81])/2 - (5*t[82])/2 - 38*t[83] + (73*t[84])/8 + (79*t[85])/8 - 
       212*t[86] - (833*t[87])/8 - (1073*t[88])/16 + (1225*t[89])/16 - 
       3*t[96] - (5*t[97])/2 - 24*t[98] + 12*t[99] + 237*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((251*t[1])/12 + (5*t[2])/4 + 15*t[3] + (293*t[4])/24 + (133*t[5])/8 - 
       (199*t[6])/8 + (91*t[7])/4 + (75*t[8])/4 - (291*t[9])/8 - 
       (125*t[10])/16 + (333*t[11])/8 - (1961*t[12])/48 - (1729*t[13])/72 - 
       (3683*t[14])/96 - (1241*t[15])/72 - 3*t[16] + t[19] - 15*t[25] + 
       6*t[26] - 12*t[28] - 18*t[31] - t[34]/2 + 12*t[35] - t[36] - 2*t[37] + 
       (59*t[38])/6 - 12*t[39] + 11*t[40] + t[41]/4 - t[42]/4 - 12*t[45] - 
       (53*t[46])/2 + 24*t[47] - (67*t[48])/8 + (653*t[49])/16 + 
       (169*t[50])/8 + (667*t[51])/32 - (149*t[52])/8 - (397*t[53])/16 - 
       27*t[54] + t[58] - (15*t[59])/4 - (449*t[60])/24 - (1133*t[61])/8 - 
       (1693*t[62])/16 - (307*t[63])/16 + (3363*t[64])/16 + (515*t[65])/72 + 
       (6965*t[66])/72 - 11*t[69] + 3*t[70] - 3*t[71] + 6*t[72] + 18*t[73] - 
       24*t[74] + t[75] - 3*t[76] - 12*t[77] - (19*t[78])/2 - 22*t[79] + 
       18*t[80] - (25*t[81])/2 + (29*t[82])/2 + 10*t[83] - (157*t[84])/8 - 
       (53*t[85])/8 + 187*t[86] + (263*t[87])/8 + (23*t[88])/16 - 
       (551*t[89])/16 - t[97]/2 - 24*t[98] + 12*t[99] + 237*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-341*t[1])/24 + (73*t[2])/6 + (649*t[3])/12 - (3123*t[4])/16 + 
       (623*t[5])/12 - (1733*t[6])/48 - (23*t[7])/3 + (515*t[8])/24 - 
       (385*t[9])/3 - (6535*t[10])/96 - (1835*t[11])/16 + (2041*t[12])/96 - 
       (17707*t[13])/144 - (73739*t[14])/576 + (16331*t[15])/864 + t[25]/3 + 
       (145*t[26])/12 + (23*t[27])/6 - (118*t[28])/3 + (67*t[30])/6 - 
       (91*t[31])/6 - 3*t[32] + 3*t[33] + (25*t[34])/12 + (80*t[35])/3 + 
       t[36]/3 - (5*t[37])/6 - (79*t[38])/6 - (109*t[39])/3 + 
       (383*t[40])/12 - (25*t[41])/24 + (25*t[42])/24 + (149*t[43])/24 - 
       (25*t[44])/3 - (17*t[45])/4 - (13*t[46])/4 + (11*t[47])/2 - 
       (353*t[48])/48 + (1931*t[49])/96 + (1903*t[50])/48 - 
       (2549*t[51])/192 - (473*t[52])/16 - (1055*t[53])/96 + 
       (1003*t[54])/24 + (7*t[58])/12 + (7*t[59])/12 - (6955*t[60])/16 - 
       (7337*t[61])/48 + (221*t[62])/32 + (29017*t[63])/96 + 
       (13407*t[64])/32 + (2009*t[65])/16 + (18463*t[66])/48 + 4*t[68] + 
       t[69] - (17*t[70])/3 + (17*t[71])/3 - (23*t[72])/3 + (43*t[73])/3 + 
       t[74]/3 - (97*t[75])/3 - (137*t[76])/4 - (247*t[77])/6 + 
       (91*t[78])/6 + 28*t[79] + (61*t[80])/6 - (583*t[81])/12 + 
       (191*t[82])/3 + (115*t[83])/2 - (4427*t[84])/48 - (1867*t[85])/48 + 
       (793*t[86])/3 + (7981*t[87])/48 + (1527*t[88])/32 - (10931*t[89])/96 + 
       (31*t[95])/3 - (13*t[96])/3 - (49*t[97])/6 - 146*t[98] + 188*t[99] + 
       270*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*
      (-48*t[1] - 9*t[2] + 39*t[3] - 210*t[4] + (3*t[5])/2 - (99*t[6])/4 - 
       48*t[7] - 126*t[8] - (51*t[9])/2 + 300*t[10] + (189*t[11])/4 + 
       267*t[12] + (167*t[13])/3 - 44*t[14] + (157*t[15])/4 - 12*t[16] + 
       54*t[25] + 78*t[26] - 12*t[27] + 12*t[28] - 48*t[35] - 60*t[36] - 
       48*t[38] + 18*t[39] + 72*t[40] + 48*t[45] - 57*t[46] - 96*t[47] - 
       (123*t[48])/4 - 66*t[49] + (141*t[50])/4 + (219*t[51])/4 - 
       (141*t[52])/4 + 126*t[53] + (195*t[54])/4 + 24*t[59] - (633*t[60])/2 - 
       88*t[61] + (309*t[62])/4 + (2319*t[63])/4 + 435*t[64] - 110*t[65] - 
       148*t[66] + 6*t[68] - 24*t[72] + 36*t[74] + 72*t[75] + 24*t[76] - 
       72*t[77] - 24*t[78] + 60*t[79] - 96*t[80] - 15*t[81] + 27*t[82] - 
       51*t[84] - (195*t[85])/2 - 156*t[86] + (375*t[87])/2 + (375*t[88])/4 - 
       105*t[89] - t[91] + 6*t[93] - 720*t[98] + 864*t[99] + 276*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*(66*t[1] - 9*t[2] - 
       324*t[4] + (183*t[5])/2 + (801*t[6])/4 + 75*t[7] + 147*t[8] - 
       (153*t[9])/2 - 243*t[10] - (147*t[11])/4 - 12*t[12] - (401*t[13])/6 - 
       (463*t[14])/2 + (237*t[15])/4 - 6*t[16] - 66*t[25] - 42*t[26] - 
       72*t[27] + 12*t[28] - 12*t[31] - 12*t[36] - 48*t[37] + 24*t[38] - 
       30*t[39] - 48*t[45] + 57*t[46] + 96*t[47] + (309*t[48])/4 - 42*t[49] + 
       (117*t[50])/4 + (165*t[51])/4 - (117*t[52])/4 + 102*t[53] + 
       (219*t[54])/4 + 30*t[59] - (549*t[60])/2 + 72*t[61] + (9*t[62])/4 - 
       (369*t[63])/4 + 258*t[64] + 659*t[65] + 485*t[66] + 78*t[68] + 
       36*t[72] + 72*t[75] - 144*t[76] + 168*t[78] - 24*t[79] + 192*t[80] + 
       51*t[81] + 9*t[82] + 6*t[83] - 12*t[84] - (399*t[85])/2 + 132*t[86] + 
       (735*t[87])/2 + (735*t[88])/4 + 21*t[89] + t[91] + 6*t[93] - 
       720*t[98] + 864*t[99] + 276*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*((-209*t[1])/8 - 
       (49*t[2])/8 + (227*t[3])/8 - (67*t[4])/4 - (645*t[5])/8 - 
       (139*t[6])/16 + (185*t[7])/8 - (745*t[8])/8 + (395*t[9])/8 + 
       (1245*t[10])/16 - (2317*t[11])/16 + (891*t[12])/16 - 
       (14533*t[13])/144 + (389*t[14])/8 - (2137*t[15])/48 - 3*t[20] - 
       3*t[21] + 3*t[22] + 3*t[23] + 9*t[25] + 24*t[26] - 6*t[27] - 4*t[28] - 
       6*t[29] + 18*t[30] + 12*t[31] + (9*t[34])/4 + (9*t[36])/2 - 12*t[37] - 
       (135*t[38])/4 - 9*t[39] + 6*t[40] - (33*t[41])/8 + (33*t[42])/8 - 
       (65*t[43])/4 - 10*t[44] - (79*t[45])/2 - 15*t[46] + 79*t[47] - 
       (507*t[48])/16 + (107*t[49])/16 + (813*t[50])/16 - (275*t[51])/8 - 
       (753*t[52])/16 - (491*t[53])/16 - (301*t[54])/16 + 3*t[58] + 
       (151*t[59])/8 - (1159*t[60])/8 + (383*t[61])/4 - (39*t[62])/4 + 
       (1851*t[63])/4 - 240*t[64] + (2485*t[65])/24 + (8705*t[66])/24 - 
       6*t[68] - 3*t[69] + 6*t[70] - 6*t[71] - 18*t[72] - 42*t[73] - 
       (9*t[74])/2 + 29*t[75] - (129*t[76])/2 + 2*t[77] + (189*t[78])/4 - 
       10*t[79] - (5*t[80])/2 - 62*t[81] + 43*t[82] + 34*t[83] - 
       (179*t[84])/8 - (43*t[85])/2 - 68*t[86] + (143*t[87])/2 + 
       (139*t[88])/2 - (433*t[89])/16 - 3*t[95] - 24*t[96] - (27*t[97])/4 - 
       252*t[98] + 234*t[99] + (555*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-163*t[1])/8 + (247*t[2])/8 + (163*t[3])/8 - (51*t[4])/8 - 
       (587*t[5])/8 + (337*t[6])/8 - (109*t[7])/8 + (1345*t[8])/8 - 
       (9*t[9])/4 - (517*t[10])/4 + (423*t[11])/8 + (703*t[12])/8 + 
       (4133*t[13])/48 - (415*t[14])/32 - (673*t[15])/144 + (9*t[19])/2 + 
       3*t[20] + 3*t[21] + 3*t[22] - 3*t[23] + 6*t[25] + (9*t[26])/2 + 
       6*t[27] - 6*t[28] + 17*t[29] + (7*t[30])/2 + 27*t[31] + (9*t[34])/4 + 
       41*t[35] - (27*t[36])/2 - (11*t[37])/2 - (41*t[38])/4 - (5*t[39])/4 - 
       27*t[40] + (27*t[41])/8 - (27*t[42])/8 - 5*t[43] - (113*t[44])/2 - 
       12*t[45] + 36*t[46] + 24*t[47] + (41*t[48])/2 - (219*t[49])/2 - 
       (69*t[50])/2 + (939*t[51])/32 + (177*t[52])/4 + 72*t[53] + 
       (413*t[54])/8 + (3*t[58])/2 - (41*t[59])/8 - (113*t[60])/4 - 
       (753*t[61])/8 - (179*t[62])/8 - (2431*t[63])/8 + (3839*t[64])/16 - 
       (563*t[65])/24 - (453*t[66])/4 - t[67]/2 + 6*t[68] - 6*t[69] + 
       12*t[70] - 12*t[71] - 6*t[72] - 6*t[73] + (93*t[74])/2 + 9*t[75] - 
       (261*t[76])/4 + (21*t[77])/2 + (303*t[78])/4 - (117*t[79])/2 - 
       18*t[80] - (163*t[81])/4 - (125*t[82])/4 - (15*t[84])/8 + 4*t[85] + 
       (181*t[86])/2 - t[87] + 31*t[88] + (899*t[89])/8 - 3*t[95] - 
       (27*t[96])/2 - (27*t[97])/4 - 252*t[98] + 234*t[99] + 
       (555*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      ((-55*t[1])/2 + (39*t[2])/2 - (59*t[3])/2 - (645*t[4])/4 + 
       (823*t[5])/16 + (657*t[6])/16 - (171*t[7])/4 + (239*t[8])/4 + 
       (2319*t[9])/16 + (269*t[10])/4 - (2875*t[11])/16 + (631*t[12])/16 - 
       (10325*t[13])/144 - (1381*t[14])/12 + (3119*t[15])/288 + t[16] + 
       3*t[17] - 6*t[18] + 6*t[19] + 15*t[20] - 12*t[21] - 5*t[22] + 
       12*t[23] - t[24] - (27*t[25])/2 + 26*t[26] + 22*t[27] - 12*t[28] - 
       (11*t[29])/2 - 42*t[30] - 9*t[31] - 2*t[33] + 30*t[34] + 18*t[35] - 
       3*t[36] + 8*t[37] - 27*t[38] + 15*t[39] - (51*t[40])/2 + 5*t[41] - 
       8*t[42] + (15*t[43])/8 - (57*t[44])/4 + (51*t[45])/4 + (51*t[46])/4 - 
       22*t[47] - (441*t[48])/16 + (75*t[49])/4 + (1023*t[50])/16 - 
       (175*t[51])/8 - (79*t[52])/16 - (3*t[53])/4 + (601*t[54])/16 - 
       t[56]/2 - 4*t[57] - (5*t[58])/2 + (45*t[59])/2 - (2611*t[60])/8 - 
       341*t[61] + (6877*t[62])/16 + (6017*t[63])/16 + (1773*t[64])/8 + 
       (547*t[65])/4 + (1001*t[66])/3 - t[67] - 15*t[68] + 6*t[69] + 
       12*t[72] + 16*t[73] - 5*t[74] - 10*t[75] + 54*t[76] - 10*t[77] - 
       56*t[78] + 16*t[79] - 36*t[80] + (187*t[81])/4 + (159*t[82])/4 - 
       15*t[83] - (175*t[84])/4 + (541*t[85])/8 - 193*t[86] + (643*t[87])/8 - 
       (309*t[88])/16 + (35*t[89])/4 - t[91]/6 - t[92] + 2*t[93] + t[94] + 
       18*t[95] - 6*t[96] - 15*t[97] + 96*t[98] - 60*t[99] + 281*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*
      ((119*t[1])/2 - (85*t[2])/2 - 163*t[3] - (531*t[4])/4 - (627*t[5])/8 + 
       (235*t[6])/2 + (57*t[7])/8 + (1199*t[8])/8 + (1391*t[9])/8 + 
       (237*t[10])/8 - (631*t[11])/4 - (123*t[12])/2 - (533*t[13])/16 + 
       (2125*t[14])/24 + (4781*t[15])/144 - 2*t[16] + 2*t[17] + 6*t[19] + 
       12*t[20] + 3*t[21] - 24*t[22] - 3*t[23] + 5*t[24] - (55*t[25])/2 - 
       (63*t[26])/2 - t[27] + 20*t[28] - (9*t[29])/2 + (27*t[30])/2 - 
       6*t[31] + (21*t[32])/2 + 15*t[33] + 26*t[34] - 36*t[35] + 39*t[36] - 
       13*t[37] + 39*t[38] - (23*t[39])/2 - 30*t[40] + (9*t[41])/2 - 
       (9*t[42])/2 + (175*t[43])/8 + (7*t[44])/4 - (115*t[45])/4 - 
       (17*t[46])/4 + (31*t[47])/2 + (113*t[48])/2 - (21*t[49])/4 + 
       (197*t[50])/4 + (243*t[51])/8 + (43*t[52])/4 + (189*t[53])/4 + 
       (267*t[54])/4 - t[55]/2 - 3*t[56] - 6*t[57] + 3*t[58] - (5*t[59])/2 - 
       (349*t[60])/4 - (395*t[61])/8 + (1493*t[62])/8 + (765*t[63])/4 - 
       (1477*t[64])/16 + (2285*t[65])/24 + (677*t[66])/24 + t[67] - t[68] + 
       15*t[69] - 6*t[70] + 6*t[71] - 7*t[72] - 2*t[73] - 87*t[74] + 
       38*t[75] - (27*t[76])/2 + 8*t[77] + 85*t[78] - 18*t[79] + 71*t[80] + 
       (215*t[81])/4 - (53*t[82])/4 - (33*t[83])/2 - (377*t[84])/8 - 
       (39*t[85])/4 - 175*t[86] + (469*t[87])/4 + (225*t[88])/8 + 
       (539*t[89])/16 + 4*t[93] - t[94] + 10*t[95] + 6*t[96] - t[97] + 
       96*t[98] - 60*t[99] + 281*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((5*t[1])/8 + (33*t[2])/8 - (247*t[3])/8 - 
       2*t[4] + t[5]/16 + (471*t[6])/8 + (131*t[7])/8 + (793*t[8])/8 - 
       (797*t[9])/16 + (659*t[10])/16 - (345*t[11])/8 + (139*t[12])/4 - 
       (47*t[13])/16 - (479*t[14])/48 + (743*t[15])/32 + t[16]/4 - 
       (7*t[25])/2 + (29*t[26])/2 + 3*t[28] - 3*t[31] - (21*t[34])/4 - 
       3*t[35] + 8*t[36] - (5*t[37])/2 - (15*t[38])/4 - 3*t[39] - 
       (21*t[40])/2 + (21*t[41])/8 - (21*t[42])/8 + (5*t[46])/2 + 
       (129*t[48])/8 - (615*t[49])/16 + (121*t[50])/8 + (75*t[51])/16 - 
       (7*t[52])/8 + (227*t[53])/16 - (29*t[54])/8 + 3*t[58] + (91*t[59])/8 - 
       34*t[60] - (169*t[61])/4 - (473*t[62])/16 - (2003*t[63])/16 + 
       (1221*t[64])/8 + (655*t[65])/24 + (3941*t[66])/24 + (5*t[67])/4 + 
       15*t[69] - 12*t[70] + 12*t[71] + 6*t[72] - 40*t[73] - 19*t[74] + 
       64*t[75] - 51*t[76] + 6*t[77] + (99*t[78])/4 - 8*t[79] - 
       (57*t[80])/2 - (133*t[81])/4 - (29*t[82])/4 + (53*t[83])/2 + 
       (9*t[84])/8 - (503*t[85])/8 + 20*t[86] + (1125*t[87])/8 + 
       (1485*t[88])/16 + (1819*t[89])/16 - 9*t[95] - 6*t[96] + (3*t[97])/4 - 
       324*t[98] + 276*t[99] + 294*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*(-t[1]/2 + (3*t[2])/4 + 
       (353*t[3])/8 - (13*t[4])/4 + (39*t[5])/2 - (531*t[6])/8 + t[7]/2 - 
       (479*t[8])/4 - (33*t[9])/4 - (9*t[10])/8 - (129*t[11])/8 - 
       (67*t[12])/8 - (74*t[13])/9 - (1429*t[14])/16 - (3629*t[15])/144 - 
       t[19] - 3*t[20] - 4*t[21] + 3*t[22] + 4*t[23] - 3*t[24] + 2*t[25] - 
       5*t[26] + 7*t[27] - 2*t[28] + t[29]/2 - 4*t[31] - (11*t[32])/2 - 
       4*t[33] + 7*t[34] + 2*t[35] + 2*t[36] + (9*t[37])/2 + 2*t[38] - 
       12*t[39] + 8*t[40] - 3*t[41] + 3*t[42] + t[43] - (13*t[44])/4 - 
       7*t[45] - t[46]/2 + 19*t[47] - (247*t[48])/8 - (51*t[49])/8 + 
       (5*t[50])/8 + (77*t[51])/16 - (77*t[52])/8 + (35*t[53])/8 - 
       (229*t[54])/8 + t[55]/2 - t[58] - (9*t[59])/2 - (341*t[60])/4 - 
       210*t[61] + (159*t[62])/4 - (91*t[63])/4 - (5*t[64])/4 + 
       (103*t[65])/6 + (184*t[66])/3 - 2*t[69] - 2*t[70] + 2*t[71] - 
       9*t[72] - t[74] - 6*t[75] + 13*t[76] - 3*t[77] - 29*t[78] - 4*t[80] - 
       t[81] + 19*t[82] + 7*t[83] - 21*t[84] + 23*t[85] + 24*t[86] + 
       (33*t[87])/2 + t[88]/4 - (7*t[89])/8 + 2*t[95] + 2*t[96] - t[97] + 
       72*t[98] - 136*t[99] + 305*t[100]) + HPL[{0, 1}, 1 - u]*Qep[u, w, v]*
      ((-512*t[1])/9 + (808*t[2])/9 - (128*t[3])/9 - (3602*t[4])/9 - 
       (604*t[5])/3 + (2576*t[6])/9 - (176*t[7])/3 + 352*t[8] + 
       (364*t[9])/3 - (593*t[10])/9 - (6436*t[11])/9 + (631*t[12])/9 - 
       (10330*t[13])/27 - (3889*t[14])/54 + (239*t[15])/9 - (128*t[25])/9 + 
       (736*t[26])/9 - (64*t[27])/9 - (32*t[28])/3 - (32*t[30])/3 + 
       (160*t[31])/9 + (128*t[34])/9 + (64*t[35])/3 + (32*t[36])/3 - 
       (448*t[37])/9 - (608*t[38])/9 + (64*t[39])/9 - (224*t[40])/9 - 
       (64*t[41])/9 + (64*t[42])/9 - (16*t[43])/3 + (32*t[44])/3 + 
       (128*t[45])/9 - (224*t[46])/9 - (256*t[47])/9 + (304*t[48])/3 - 
       (25*t[49])/3 + 80*t[50] - (203*t[51])/18 + (80*t[52])/3 + 19*t[53] + 
       214*t[54] + (128*t[58])/9 + (64*t[59])/9 - (5614*t[60])/9 - 
       (3494*t[61])/9 + (6463*t[62])/9 + (4153*t[63])/9 + (385*t[64])/9 + 
       (19114*t[65])/27 + (27662*t[66])/27 - (128*t[70])/9 + (128*t[71])/9 - 
       (512*t[72])/9 + 64*t[73] - (64*t[74])/3 - 64*t[75] - (1280*t[76])/9 - 
       (256*t[77])/9 + (2272*t[78])/9 - (1472*t[80])/9 - (128*t[81])/3 + 
       (64*t[82])/9 - (224*t[83])/9 + (346*t[84])/9 + (730*t[85])/9 + 
       (128*t[86])/3 + (4646*t[87])/9 + (593*t[88])/3 + (1655*t[89])/9 - 
       (640*t[96])/9 - (224*t[97])/3 - (2176*t[98])/3 + 896*t[99] + 
       320*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-11*t[1])/2 + (3*t[2])/4 + (373*t[3])/8 - 
       8*t[4] + (67*t[5])/4 - (235*t[6])/4 - (15*t[7])/2 - (257*t[8])/2 - 
       5*t[9] - (41*t[10])/2 - (165*t[11])/4 - 2*t[12] - (73*t[13])/18 - 
       (755*t[14])/8 - (5009*t[15])/144 - 4*t[19] - 3*t[20] - 4*t[21] + 
       3*t[22] + 4*t[23] - 3*t[24] - t[26] + 8*t[27] - 2*t[28] - 
       (15*t[29])/2 - (11*t[32])/2 - 4*t[33] + 7*t[34] + 2*t[35] + 6*t[36] + 
       4*t[37] - 2*t[38] - 12*t[39] + 8*t[40] - 3*t[41] + 3*t[42] + t[43] + 
       (51*t[44])/4 - 7*t[45] - 2*t[46] + 19*t[47] - (145*t[48])/4 - 
       (19*t[49])/4 - (7*t[50])/4 + (27*t[51])/8 - (29*t[52])/4 + 
       (19*t[53])/4 - 36*t[54] - t[58] - (9*t[59])/2 - (85*t[60])/2 - 
       (955*t[61])/4 + (527*t[62])/8 - (435*t[63])/8 - (83*t[64])/8 + 
       (55*t[65])/2 + (631*t[66])/6 - 2*t[69] - 13*t[72] - 5*t[74] - 
       2*t[75] + 18*t[76] - 3*t[77] - 25*t[78] - 8*t[80] - (5*t[81])/2 + 
       (37*t[82])/2 + 2*t[83] - (37*t[84])/2 + (185*t[85])/4 + 20*t[86] + 
       (27*t[87])/4 - (37*t[88])/8 + (35*t[89])/2 + 2*t[95] + 2*t[96] - 
       t[97] + 120*t[98] - 184*t[99] + 335*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((121*t[1])/6 + (8*t[2])/3 + (319*t[3])/12 - (1127*t[4])/24 + 
       (157*t[5])/12 - (89*t[6])/8 - (121*t[7])/24 + (133*t[8])/24 - 
       (653*t[9])/24 - (1073*t[10])/48 - (203*t[11])/3 - (307*t[12])/48 - 
       (3043*t[13])/432 - (18535*t[14])/288 - (119*t[15])/6 + 2*t[16] + 
       2*t[18] + 3*t[20] + 6*t[21] - t[22] - 6*t[23] + 5*t[24] - 4*t[25] + 
       (4*t[26])/3 + (14*t[27])/3 + 4*t[28] + t[30] + (13*t[31])/3 + 
       3*t[33] + (4*t[34])/3 - 6*t[35] - t[36] - (5*t[37])/3 + (23*t[38])/3 - 
       t[39] - (13*t[40])/3 - t[41]/6 + (7*t[42])/6 - (21*t[43])/8 - 
       (185*t[45])/12 + (13*t[46])/2 + (203*t[47])/6 + (39*t[48])/4 - 
       (1105*t[49])/48 - (31*t[50])/12 + (379*t[51])/96 + (79*t[52])/12 + 
       (1025*t[53])/48 + (17*t[54])/8 + (7*t[58])/3 - (22*t[59])/3 - 
       (2083*t[60])/24 - (4145*t[61])/24 + (967*t[62])/48 - (6487*t[63])/48 + 
       (1729*t[64])/16 + (2675*t[65])/24 + (5027*t[66])/72 - 2*t[67] - 
       (15*t[68])/2 - 5*t[69] - (13*t[70])/3 + (13*t[71])/3 - 4*t[72] + 
       4*t[73] - 3*t[74] - 4*t[75] - (5*t[76])/3 + (23*t[77])/3 - 
       (55*t[78])/3 + 8*t[79] + 36*t[80] - (40*t[81])/3 + (49*t[82])/3 - 
       (22*t[83])/3 - (101*t[84])/8 + (17*t[85])/24 + 31*t[86] + 
       (1895*t[87])/24 + (685*t[88])/16 + (1223*t[89])/16 - t[90]/2 - 
       2*t[95] - (8*t[96])/3 - 2*t[97] - 32*t[98] - 28*t[99] + 335*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((23*t[1])/2 + (53*t[2])/2 + 64*t[3] - (1801*t[4])/8 + (543*t[5])/8 - 
       (1697*t[6])/8 + 27*t[7] - 180*t[8] - (435*t[9])/8 + (481*t[10])/16 - 
       (1595*t[11])/8 + (199*t[12])/16 - (4385*t[13])/24 - (9661*t[14])/96 - 
       (77*t[15])/4 - 24*t[19] + 24*t[20] + 24*t[21] - 12*t[22] - 24*t[23] - 
       26*t[25] + 13*t[26] + 20*t[27] + 18*t[28] + 18*t[30] + 10*t[31] - 
       4*t[34] - 36*t[35] + 33*t[36] + 65*t[37] + 13*t[38] - 8*t[39] + 
       7*t[40] + 8*t[41] - 8*t[42] + 9*t[43] - 30*t[44] - 19*t[45] + 
       16*t[46] + 38*t[47] - (465*t[48])/8 + (903*t[49])/16 - (153*t[50])/8 + 
       (133*t[51])/32 - (39*t[52])/8 + (969*t[53])/16 + (237*t[54])/2 - 
       4*t[58] - 11*t[59] - (4475*t[60])/8 - (2737*t[61])/8 + (13*t[62])/16 + 
       (6475*t[63])/16 + (6655*t[64])/16 - (7663*t[65])/24 - (569*t[66])/24 - 
       26*t[70] + 26*t[71] + 16*t[72] - 36*t[73] - 15*t[74] + 36*t[75] + 
       97*t[76] - t[77] - 185*t[78] + 178*t[80] - (63*t[81])/2 + 
       (131*t[82])/2 + 40*t[83] - (2287*t[84])/8 - (529*t[85])/8 + 54*t[86] - 
       (1103*t[87])/8 - (3279*t[88])/16 - (3889*t[89])/16 + 66*t[95] + 
       86*t[96] + 18*t[97] + 744*t[98] - 828*t[99] + 360*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-61*t[1])/2 - (43*t[2])/2 + 20*t[3] - (1945*t[4])/8 + (805*t[5])/8 - 
       (1383*t[6])/8 + 23*t[7] - 8*t[8] - (457*t[9])/8 + (2351*t[10])/16 - 
       (1691*t[11])/8 - (779*t[12])/16 - (17353*t[13])/72 + (7759*t[14])/96 + 
       (251*t[15])/12 - 24*t[19] - 24*t[20] - 24*t[21] + 12*t[22] + 
       24*t[23] - 18*t[25] + 47*t[26] - 8*t[27] - 18*t[28] - 18*t[30] - 
       10*t[31] - 4*t[34] + 36*t[35] + 51*t[36] + 5*t[37] - 29*t[38] + 
       7*t[40] - 16*t[41] + 16*t[42] - 9*t[43] + 30*t[44] + 5*t[45] + 
       12*t[46] - 10*t[47] - (15*t[48])/8 + (1957*t[49])/16 - (247*t[50])/8 - 
       (1771*t[51])/32 + (55*t[52])/8 - (53*t[53])/16 + (489*t[54])/4 - 
       4*t[58] + 10*t[59] - (4973*t[60])/8 - (1069*t[61])/8 - 
       (2263*t[62])/16 + (9367*t[63])/16 + (2379*t[64])/16 - (1185*t[65])/8 + 
       (319*t[66])/24 - 26*t[70] + 26*t[71] - 12*t[72] - 36*t[73] - 
       33*t[74] + 36*t[75] + 107*t[76] - 11*t[77] - 167*t[78] - 72*t[79] + 
       42*t[80] - (61*t[81])/2 + (61*t[82])/2 + 40*t[83] - (1935*t[84])/8 - 
       (629*t[85])/8 + 30*t[86] - (587*t[87])/8 - (2571*t[88])/16 - 
       (3747*t[89])/16 + 66*t[95] + 86*t[96] + 18*t[97] + 744*t[98] - 
       828*t[99] + 360*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-5*t[1])/6 + (8*t[2])/3 + (329*t[3])/12 - 
       (1079*t[4])/24 + (51*t[5])/4 - (307*t[6])/24 - (79*t[7])/8 + 
       (67*t[8])/8 - (235*t[9])/8 + (77*t[10])/48 - (1217*t[11])/12 + 
       (1103*t[12])/48 - (1289*t[13])/144 - (24911*t[14])/288 - 
       (1111*t[15])/72 + 2*t[16] + 2*t[18] - 8*t[19] + 3*t[20] + 6*t[21] - 
       t[22] - 6*t[23] + 5*t[24] - (10*t[25])/3 + (35*t[26])/3 + 
       (10*t[27])/3 - 8*t[29] - 3*t[30] + (17*t[31])/3 + 3*t[33] + 
       (4*t[34])/3 + 2*t[35] + t[36] - (11*t[37])/3 - (25*t[38])/3 - 
       t[39]/3 - (13*t[40])/3 - t[41]/6 + (7*t[42])/6 - (37*t[43])/8 + 
       4*t[44] - (185*t[45])/12 + (37*t[46])/6 + (203*t[47])/6 + 
       (45*t[48])/4 - (217*t[49])/16 - (27*t[50])/4 - (121*t[51])/96 + 
       (43*t[52])/4 + (201*t[53])/16 + (25*t[54])/8 + (7*t[58])/3 + 
       (14*t[59])/3 - (2155*t[60])/24 - (5741*t[61])/24 + (3509*t[62])/48 - 
       (7141*t[63])/48 + (6227*t[64])/48 + (9325*t[65])/72 + 
       (10223*t[66])/72 - 2*t[67] - 8*t[68] + 9*t[69] - (7*t[70])/3 + 
       (7*t[71])/3 - (28*t[72])/3 + 4*t[73] - 5*t[74] + (14*t[76])/3 + 
       (19*t[77])/3 - (43*t[78])/3 + (80*t[80])/3 - (27*t[81])/2 + 
       (85*t[82])/6 - (40*t[83])/3 - (575*t[84])/24 + (499*t[85])/24 + 
       23*t[86] + (1793*t[87])/24 + (651*t[88])/16 + (5263*t[89])/48 - 
       2*t[95] - (8*t[96])/3 - 2*t[97] + 16*t[98] - 76*t[99] + 365*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-13*t[1])/2 + 13*t[2] + (3*t[3])/8 - (155*t[4])/8 - (51*t[5])/16 - 
       (391*t[6])/16 - (301*t[7])/8 + (157*t[8])/8 - (187*t[9])/16 + 
       (1595*t[10])/16 - (1173*t[11])/16 + (75*t[12])/4 + (1373*t[13])/144 - 
       (3259*t[14])/96 + (69*t[15])/32 + t[16] + 10*t[25] + 11*t[26] + 
       16*t[27] - 8*t[28] - 3*t[29] - t[30] + 2*t[34] + 6*t[35] + t[36] + 
       7*t[37] - 7*t[38] + 3*t[39] - (9*t[40])/2 - t[41] + t[42] - 
       (19*t[43])/4 - (13*t[44])/2 - t[45]/4 + t[46] + t[47]/2 - 
       (23*t[48])/16 - (577*t[49])/16 + (253*t[50])/16 + (7*t[51])/32 - 
       (61*t[52])/16 + (209*t[53])/16 + (49*t[54])/16 + 2*t[58] - t[59]/2 - 
       71*t[60] - (315*t[61])/2 + (301*t[62])/4 - (115*t[63])/4 + 
       (155*t[64])/4 + (399*t[65])/4 + (893*t[66])/12 - 14*t[68] + 2*t[70] - 
       2*t[71] + 14*t[72] - 4*t[73] + t[74] + 8*t[75] - 8*t[76] + 3*t[77] + 
       16*t[78] - 4*t[79] - 53*t[80] - (27*t[81])/2 + (27*t[82])/2 - 
       10*t[83] + 15*t[84] + (57*t[85])/4 - (93*t[86])/2 + (323*t[87])/4 + 
       (395*t[88])/8 + 77*t[89] - t[91]/6 + 2*t[93] - 6*t[95] - 16*t[96] - 
       9*t[97] - 144*t[98] + 60*t[99] + 388*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-3*t[1])/2 + (11*t[2])/2 + (191*t[3])/8 - (135*t[4])/8 - 
       (147*t[5])/16 + (257*t[6])/16 - (129*t[7])/8 + (153*t[8])/8 - 
       (307*t[9])/16 - (747*t[10])/16 - (1241*t[11])/16 + (161*t[12])/8 - 
       (2635*t[13])/144 - (11827*t[14])/96 - (4223*t[15])/288 - 8*t[25] - 
       5*t[26] + 4*t[28] + 3*t[29] + 3*t[30] + 4*t[31] + 2*t[34] - 2*t[35] + 
       17*t[36] + 7*t[37] - t[38] - 16*t[39] - (11*t[40])/2 - t[41] + t[42] - 
       (13*t[43])/4 - (31*t[44])/2 - (49*t[45])/4 - 3*t[46] + (49*t[47])/2 + 
       t[48]/16 - (375*t[49])/16 + (405*t[50])/16 + (507*t[51])/32 - 
       (213*t[52])/16 + (327*t[53])/16 - (191*t[54])/16 + 2*t[58] - 
       (11*t[59])/2 - (443*t[60])/4 - 231*t[61] + (199*t[62])/2 - 
       (165*t[63])/2 + (97*t[64])/2 + (621*t[65])/4 + (2759*t[66])/12 + 
       2*t[68] - 2*t[70] + 2*t[71] - 4*t[73] - 25*t[74] + 12*t[75] - 
       47*t[76] - t[77] + 44*t[78] + 12*t[79] - 19*t[80] - (35*t[81])/2 + 
       (43*t[82])/2 - 3*t[84] + (23*t[85])/4 + (63*t[86])/2 + (365*t[87])/4 + 
       (437*t[88])/8 + (431*t[89])/8 + t[91]/6 - 6*t[95] - 14*t[96] - 
       9*t[97] - 144*t[98] + 60*t[99] + 388*t[100]) + 
     HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u]*((-59*t[1])/2 + 37*t[2] - 88*t[3] - 
       94*t[4] + (385*t[5])/4 + (821*t[6])/4 + (53*t[7])/2 + (875*t[8])/2 - 
       (549*t[9])/4 + (41*t[10])/2 - (479*t[11])/4 - (351*t[12])/4 - 
       (7363*t[13])/36 + (805*t[14])/6 + (85*t[15])/8 + 8*t[16] - 20*t[19] + 
       16*t[21] - 16*t[23] - 8*t[25] + 32*t[26] - 28*t[27] - 12*t[33] - 
       3*t[34] + 16*t[36] + 12*t[37] - 28*t[38] + 126*t[39] - 123*t[40] + 
       (19*t[41])/2 - (19*t[42])/2 - 20*t[45] - 36*t[46] + 40*t[47] + 
       (499*t[48])/4 + 88*t[49] - (69*t[50])/4 - 27*t[51] + (585*t[52])/4 - 
       88*t[53] - (583*t[54])/4 + 24*t[58] + 7*t[59] + 211*t[60] + 
       291*t[61] - 526*t[62] - 470*t[63] - 233*t[64] + (311*t[65])/3 + 
       (94*t[66])/3 - 8*t[67] - 32*t[68] - 8*t[70] + 8*t[71] - 16*t[74] + 
       40*t[76] + 120*t[77] - 112*t[78] + 88*t[80] - 4*t[81] + 48*t[82] - 
       52*t[84] + 6*t[85] + 40*t[86] + 178*t[87] + 89*t[88] + 232*t[89] - 
       12*t[92] + 12*t[94] - 288*t[98] + 240*t[99] + 432*t[100]) + 
     HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u]*(-27*t[1] + 36*t[2] - 86*t[3] - 
       96*t[4] + 97*t[5] + (415*t[6])/2 + 27*t[7] + 433*t[8] - 132*t[9] + 
       36*t[10] - (295*t[11])/2 - 108*t[12] - (3689*t[13])/18 + 139*t[14] + 
       (61*t[15])/6 + 8*t[16] - 20*t[19] + 16*t[21] - 16*t[23] - 8*t[25] + 
       32*t[26] - 28*t[27] - 12*t[33] - 2*t[34] + 16*t[36] + 12*t[37] - 
       28*t[38] + 118*t[39] - 114*t[40] + 9*t[41] - 9*t[42] - 20*t[45] - 
       36*t[46] + 40*t[47] + (243*t[48])/2 + 85*t[49] - (45*t[50])/2 - 
       (51*t[51])/2 + (297*t[52])/2 - 85*t[53] - (279*t[54])/2 + 24*t[58] + 
       10*t[59] + 216*t[60] + 292*t[61] - 512*t[62] - 492*t[63] - 255*t[64] + 
       (368*t[65])/3 + (154*t[66])/3 - 8*t[67] - 32*t[68] - 8*t[70] + 
       8*t[71] - 16*t[74] + 40*t[76] + 112*t[77] - 112*t[78] + 88*t[80] - 
       4*t[81] + 36*t[82] - 52*t[84] + 6*t[85] + 40*t[86] + 178*t[87] + 
       89*t[88] + 239*t[89] - 12*t[92] + 12*t[94] - 288*t[98] + 240*t[99] + 
       432*t[100]) + HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - v]*
      (-189*t[1] - (83*t[2])/2 + (443*t[3])/2 - (63*t[4])/2 + 58*t[5] - 
       (1413*t[6])/4 - 219*t[7] - 523*t[8] - 206*t[9] - (483*t[10])/4 - 
       (307*t[11])/4 + (2125*t[12])/4 - (7813*t[13])/18 - (11123*t[14])/24 - 
       (433*t[15])/4 - 24*t[16] - 32*t[19] - 16*t[21] + 16*t[23] + 
       114*t[26] + 20*t[27] + 12*t[33] + 12*t[34] - 48*t[36] - 8*t[37] - 
       123*t[38] - 14*t[39] - 9*t[40] - 14*t[41] + 14*t[42] + 12*t[45] + 
       18*t[46] - 24*t[47] - (651*t[48])/4 - (233*t[49])/4 + (173*t[50])/4 + 
       (141*t[51])/8 - (101*t[52])/4 + (713*t[53])/4 - (1515*t[54])/4 - 
       12*t[55] + 6*t[58] - (9*t[59])/2 - 567*t[60] - 673*t[61] + 
       (1863*t[62])/4 + (3473*t[63])/4 + (569*t[64])/2 - (3811*t[65])/6 + 
       (2381*t[66])/3 + 12*t[67] + 48*t[68] + 24*t[74] + 110*t[76] + 
       6*t[77] - 502*t[78] - 64*t[80] - 94*t[81] + 156*t[82] - 
       (543*t[84])/2 + (361*t[85])/2 - 24*t[86] + (515*t[87])/2 + 
       (515*t[88])/4 - 369*t[89] + 12*t[92] - 12*t[94] - 15*t[97] - 
       288*t[98] + 240*t[99] + 432*t[100]) + 
     HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - v]*(-176*t[1] - 43*t[2] + 224*t[3] - 
       45*t[4] + 56*t[5] - 352*t[6] - 223*t[7] - 529*t[8] - 216*t[9] - 
       (259*t[10])/2 - 87*t[11] + (1029*t[12])/2 - (7573*t[13])/18 - 
       (5443*t[14])/12 - (334*t[15])/3 - 24*t[16] - 32*t[19] - 16*t[21] + 
       16*t[23] + 106*t[26] + 20*t[27] + 12*t[33] + 12*t[34] - 48*t[36] - 
       8*t[37] - 114*t[38] - 20*t[39] - 2*t[40] - 14*t[41] + 14*t[42] + 
       12*t[45] + 24*t[46] - 24*t[47] - 170*t[48] - (123*t[49])/2 + 
       38*t[50] + (55*t[51])/4 - 22*t[52] + (363*t[53])/2 - 373*t[54] - 
       12*t[55] + 6*t[58] - 5*t[59] - 563*t[60] - 687*t[61] + 471*t[62] + 
       857*t[63] + (577*t[64])/2 - (1904*t[65])/3 + (2369*t[66])/3 + 
       12*t[67] + 48*t[68] + 24*t[74] + 94*t[76] - 462*t[78] - 64*t[80] - 
       92*t[81] + 154*t[82] - 278*t[84] + 182*t[85] - 24*t[86] + 262*t[87] + 
       131*t[88] - (731*t[89])/2 + 12*t[92] - 12*t[94] - 14*t[97] - 
       288*t[98] + 240*t[99] + 432*t[100]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((9*t[1])/2 - t[2]/4 + (127*t[3])/2 - 
       49*t[4] + (361*t[5])/8 - (581*t[6])/8 + (33*t[7])/2 - (105*t[8])/2 - 
       (289*t[9])/8 - (45*t[10])/2 - (281*t[11])/8 + (79*t[12])/8 - 
       (203*t[13])/36 - (903*t[14])/8 - (2995*t[15])/144 + (5*t[16])/2 + 
       4*t[18] - 4*t[19] + 2*t[20] + 8*t[21] - 8*t[23] + 10*t[24] - 4*t[25] + 
       5*t[26] + 4*t[27] + t[29] - 2*t[31] - 9*t[32] + 6*t[34] + 5*t[36] + 
       2*t[37] - t[39] + (7*t[40])/2 + 2*t[42] - 8*t[43] + (5*t[44])/2 - 
       24*t[45] + (9*t[46])/2 + 55*t[47] - (95*t[48])/8 - (23*t[49])/2 + 
       (129*t[50])/8 - t[51]/8 - (153*t[52])/8 + (43*t[53])/2 - 
       (273*t[54])/8 - t[55] + t[58] - (17*t[59])/4 - 169*t[60] - 252*t[61] - 
       (23*t[62])/4 - (571*t[63])/4 + (767*t[64])/4 + (333*t[65])/2 + 
       113*t[66] - (7*t[67])/2 - 10*t[68] + 2*t[69] - 10*t[70] + 10*t[71] - 
       13*t[74] + 17*t[76] + 4*t[77] - (79*t[78])/2 + 49*t[80] - 
       (37*t[81])/2 + (59*t[82])/2 - (59*t[84])/2 + 15*t[85] + 74*t[86] + 
       90*t[87] + 26*t[88] + (133*t[89])/2 - t[90] - 2*t[92] + 2*t[94] + 
       4*t[95] + 4*t[96] - (5*t[97])/2 + 120*t[98] - 240*t[99] + 
       444*t[100]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (6*t[1] - (49*t[2])/4 + (199*t[3])/4 - (111*t[4])/4 + (19*t[5])/2 - 
       (503*t[6])/8 - (9*t[7])/4 - (393*t[8])/4 - t[9]/2 + (107*t[10])/8 - 
       (49*t[11])/8 + (55*t[12])/8 - (79*t[13])/8 - (4417*t[14])/48 - 
       (2651*t[15])/72 - t[16] + 4*t[18] - 4*t[19] - 2*t[20] - 2*t[22] - 
       2*t[24] - t[25] + t[26] + 4*t[27] - 2*t[29] - 4*t[30] - 4*t[31] - 
       11*t[32] - 4*t[33] + 8*t[34] - 2*t[36] + 3*t[37] - (21*t[39])/2 + 
       (13*t[40])/2 - 2*t[41] + 4*t[42] - (19*t[43])/4 + 4*t[44] - 
       (11*t[45])/2 + (5*t[46])/2 + 22*t[47] - (209*t[48])/8 - (17*t[49])/8 - 
       (25*t[50])/8 + (7*t[51])/16 - (127*t[52])/8 - (63*t[53])/8 - 
       (245*t[54])/8 + 2*t[55] + 2*t[58] - (21*t[59])/4 - 123*t[60] - 
       (431*t[61])/2 + (367*t[62])/8 + (29*t[63])/8 + 109*t[64] + 
       (296*t[65])/3 + (197*t[66])/4 + 2*t[67] + 5*t[68] - 12*t[70] + 
       12*t[71] - 4*t[72] - 2*t[74] + (43*t[76])/2 - 3*t[77] - (63*t[78])/2 + 
       2*t[80] - (7*t[81])/2 + (29*t[82])/2 - 42*t[84] + (95*t[85])/4 + 
       38*t[86] + (161*t[87])/4 + (17*t[88])/8 + (123*t[89])/4 + 2*t[92] - 
       2*t[94] + 4*t[95] + t[96] - t[97]/2 + 120*t[98] - 240*t[99] + 
       444*t[100]) + HPL[{0, 1}, 1 - u]*Qep[v, w, u]*
      (16*t[1] - 24*t[2] + (64*t[3])/3 + (266*t[4])/3 + (352*t[5])/3 - 
       68*t[6] - (112*t[7])/3 - (160*t[8])/3 - (224*t[9])/3 - (119*t[10])/3 + 
       (472*t[11])/3 - 9*t[12] + (278*t[13])/3 - (2011*t[14])/18 + 
       (11*t[15])/27 + (64*t[25])/3 - (128*t[26])/3 - (32*t[28])/3 - 
       (32*t[30])/3 - (32*t[31])/3 + (64*t[35])/3 - (64*t[36])/3 + 
       (32*t[37])/3 + (64*t[38])/3 - (16*t[43])/3 - (32*t[44])/3 - 
       (32*t[45])/3 + (32*t[46])/3 + (64*t[47])/3 - (76*t[48])/3 - 
       (229*t[49])/3 + (20*t[50])/3 + (53*t[51])/2 - 28*t[52] + 
       (37*t[53])/3 - (338*t[54])/3 - (32*t[59])/3 + (454*t[60])/3 - 
       (314*t[61])/3 - (415*t[62])/3 - 275*t[63] + (167*t[64])/3 + 
       (398*t[65])/9 + (1258*t[66])/9 + (64*t[70])/3 - (64*t[71])/3 + 
       (64*t[72])/3 - (64*t[73])/3 + (32*t[74])/3 + (64*t[75])/3 - 
       (160*t[76])/3 + 32*t[77] - (80*t[81])/3 + 48*t[82] + (32*t[83])/3 + 
       (190*t[84])/3 - 62*t[85] - (64*t[86])/3 + 62*t[87] + 127*t[88] + 
       (245*t[89])/3 - (64*t[95])/3 - (64*t[96])/3 + (32*t[97])/3 - 
       384*t[98] + 256*t[99] + 448*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*((-63*t[1])/2 + (39*t[2])/2 + 
       (87*t[3])/4 - (3483*t[4])/8 + (451*t[5])/4 + (759*t[6])/8 - 
       (75*t[7])/16 + (2061*t[8])/16 + (3137*t[9])/16 + (153*t[10])/4 - 
       (5585*t[11])/16 + (1925*t[12])/16 - (5381*t[13])/32 - 
       (24695*t[14])/96 + (6065*t[15])/96 - 3*t[17] - 6*t[18] + 12*t[19] + 
       48*t[20] - 18*t[21] - 54*t[22] + 18*t[23] - 6*t[24] - (63*t[25])/2 + 
       (93*t[26])/2 + (63*t[27])/2 - 24*t[28] - 15*t[29] - 90*t[30] - 
       18*t[31] - (7*t[32])/2 - 9*t[33] + 54*t[34] + 36*t[35] - 12*t[36] - 
       (75*t[38])/2 + 27*t[39] - (89*t[40])/2 + (33*t[41])/2 - (39*t[42])/2 - 
       (75*t[43])/16 - (99*t[44])/2 + (153*t[45])/8 + (69*t[46])/4 - 
       (75*t[47])/4 - (513*t[48])/16 + (33*t[49])/16 + (2319*t[50])/16 - 
       (375*t[51])/32 - (783*t[52])/16 + (663*t[53])/16 + (1743*t[54])/16 - 
       6*t[56] - (9*t[58])/2 + 48*t[59] - 699*t[60] - (2131*t[61])/4 + 
       (5689*t[62])/8 + (5741*t[63])/8 + (2047*t[64])/4 + (7073*t[65])/12 + 
       (1571*t[66])/2 - 6*t[68] + 12*t[69] - 12*t[70] + 12*t[71] + 36*t[72] + 
       48*t[73] - 15*t[74] - 36*t[75] + (99*t[76])/2 - 25*t[77] - 39*t[78] + 
       24*t[79] - 27*t[80] + 99*t[81] + (201*t[82])/2 - 36*t[83] - 72*t[84] + 
       (147*t[85])/4 - 291*t[86] + (1125*t[87])/4 + (213*t[88])/8 + 
       (137*t[89])/4 + 6*t[93] + 36*t[95] - 12*t[96] - 33*t[97] - 72*t[98] + 
       204*t[99] + 606*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - v]*((237*t[1])/2 - (381*t[2])/8 - (4485*t[3])/16 - (2031*t[4])/8 - 
       (2171*t[5])/16 + (775*t[6])/4 + (369*t[7])/8 + (339*t[8])/8 + 
       (5021*t[9])/16 + (3075*t[10])/16 - (877*t[11])/4 - (1061*t[12])/8 - 
       (403*t[13])/48 + (5369*t[14])/32 + (331*t[15])/4 + (9*t[17])/4 + 
       12*t[19] + 24*t[20] + 6*t[21] - 48*t[22] - 6*t[23] - 3*t[24] - 
       42*t[25] - 48*t[26] - 6*t[27] + 48*t[28] - (21*t[29])/4 + 
       (9*t[30])/2 - 12*t[31] - (21*t[32])/2 + 21*t[33] + 51*t[34] - 
       72*t[35] + 60*t[36] - 27*t[37] + 81*t[38] - (39*t[39])/2 - 24*t[40] + 
       (57*t[41])/4 - (57*t[42])/4 + (213*t[43])/4 + (165*t[44])/8 - 
       (129*t[45])/2 - 9*t[46] + 24*t[47] + (541*t[48])/8 - (471*t[49])/16 + 
       (961*t[50])/8 + (1851*t[51])/32 - (145*t[52])/8 + (1719*t[53])/16 + 
       (1097*t[54])/8 - 6*t[56] - 12*t[57] + 6*t[58] + (9*t[59])/4 - 
       (1511*t[60])/8 - (55*t[61])/2 + (617*t[62])/2 + (3619*t[63])/8 - 
       (1211*t[64])/8 + (3635*t[65])/24 - (4405*t[66])/24 + (3*t[68])/2 + 
       30*t[69] - 18*t[70] + 18*t[71] + 12*t[73] - (291*t[74])/2 + 60*t[75] - 
       (69*t[76])/2 + (3*t[77])/2 + 168*t[78] + 12*t[79] + 105*t[80] + 
       (477*t[81])/4 - (147*t[82])/4 - 39*t[83] - (621*t[84])/8 - 
       (307*t[85])/4 - 408*t[86] + (1171*t[87])/4 + (451*t[88])/8 + 
       (469*t[89])/16 + 12*t[93] + 27*t[95] + 18*t[96] - 9*t[97] - 72*t[98] + 
       204*t[99] + 606*t[100]) + HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u]*
      ((-31*t[1])/2 + 32*t[2] + (279*t[3])/4 + (263*t[4])/4 - (407*t[5])/8 - 
       (1913*t[6])/8 - (325*t[7])/4 - (379*t[8])/2 + (423*t[9])/8 + 
       (881*t[10])/8 - (1535*t[11])/8 - (99*t[12])/4 + (3023*t[13])/72 - 
       (6307*t[14])/48 - (2983*t[15])/48 + 4*t[16] + 32*t[25] + 30*t[26] + 
       73*t[27] + 10*t[34] + 16*t[36] + 40*t[37] - 12*t[38] + 16*t[39] + 
       3*t[40] - 5*t[41] + 5*t[42] + (65*t[46])/2 - (751*t[48])/8 - 
       (569*t[49])/8 + (201*t[50])/8 - (125*t[51])/16 - (57*t[52])/8 + 
       (441*t[53])/8 + (945*t[54])/8 - 2*t[58] - t[59]/2 - 257*t[60] - 
       714*t[61] + (1627*t[62])/4 - (75*t[63])/4 + (927*t[64])/4 - 
       (563*t[65])/6 - (619*t[66])/3 - 56*t[68] - 16*t[70] + 16*t[71] - 
       8*t[74] + 114*t[76] - 17*t[77] - 132*t[78] - 68*t[80] + 42*t[81] - 
       (31*t[82])/2 - (77*t[84])/2 + (263*t[85])/2 - (105*t[87])/2 - 
       (399*t[88])/4 + (223*t[89])/4 - (2*t[91])/3 + 16*t[95] - 8*t[96] - 
       24*t[97] + 96*t[98] - 288*t[99] + 672*t[100]) + 
     HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - v]*((55*t[1])/2 + (71*t[2])/4 - 38*t[3] - 
       (217*t[4])/4 + (71*t[5])/8 + (525*t[6])/8 + 15*t[7] + (571*t[8])/4 - 
       (255*t[9])/8 + (291*t[10])/8 - (3689*t[11])/8 - 130*t[12] - 
       (1775*t[13])/18 - (3257*t[14])/48 - (1183*t[15])/48 + t[16]/2 - 
       48*t[25] - 24*t[26] - 8*t[34] + 185*t[36] + 3*t[37] + 15*t[38] - 
       (127*t[39])/2 - 11*t[40] + 4*t[41] - 4*t[42] - 32*t[45] - 38*t[46] + 
       64*t[47] + (107*t[48])/8 + (531*t[49])/8 + (3*t[50])/8 + 
       (289*t[51])/16 + (285*t[52])/8 - (91*t[53])/8 + (567*t[54])/8 + 
       4*t[58] - 7*t[59] - 288*t[60] - 366*t[61] + 170*t[62] - (25*t[63])/2 - 
       (1103*t[64])/4 + (1481*t[65])/4 + (4633*t[66])/12 + 15*t[68] - 
       16*t[70] + 16*t[71] - 184*t[74] - (205*t[76])/2 - 3*t[77] + 
       (289*t[78])/2 + 42*t[80] + (17*t[81])/2 + (79*t[82])/2 - 
       (241*t[84])/4 - 23*t[85] + 64*t[86] + 117*t[87] - 15*t[88] + 
       (515*t[89])/4 + (2*t[91])/3 + 16*t[95] + 28*t[96] - 6*t[97] + 
       96*t[98] - 288*t[99] + 672*t[100]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*(6*t[1] + t[2] + (155*t[3])/2 - 99*t[4] + 
       (221*t[5])/4 - (135*t[6])/2 - (71*t[7])/4 - (173*t[8])/4 - 
       (165*t[9])/2 - (135*t[10])/4 - (745*t[11])/4 - (9*t[12])/4 - 
       (871*t[13])/72 - (363*t[14])/2 - (130*t[15])/3 + 4*t[16] + 4*t[18] - 
       8*t[19] + 6*t[20] + 12*t[21] - 2*t[22] - 12*t[23] + 10*t[24] - 
       8*t[25] + 8*t[26] + 8*t[27] - 8*t[29] - 2*t[30] + 6*t[31] + 6*t[33] + 
       4*t[34] + 8*t[36] - 6*t[38] - 6*t[39] - t[41] + 3*t[42] - 
       (29*t[43])/4 + 4*t[44] - (71*t[45])/2 + 9*t[46] + 77*t[47] + 
       (13*t[48])/4 - (71*t[49])/2 - (35*t[50])/4 + 7*t[51] + (19*t[52])/4 + 
       (71*t[53])/2 - (21*t[54])/4 + 2*t[58] - (411*t[60])/2 - 
       (925*t[61])/2 + (273*t[62])/4 - (805*t[63])/4 + (1275*t[64])/4 + 
       (1163*t[65])/6 + (1445*t[66])/6 - 4*t[67] - 16*t[68] + 2*t[69] - 
       6*t[70] + 6*t[71] - 12*t[72] - 12*t[74] + 20*t[76] + 8*t[77] - 
       56*t[78] + 96*t[80] - 26*t[81] + 42*t[82] - 6*t[83] - (127*t[84])/2 + 
       (49*t[85])/2 + 98*t[86] + (289*t[87])/2 + (289*t[88])/4 + 
       (559*t[89])/4 + 96*t[98] - 224*t[99] + 718*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*(-6*t[1] + (13*t[2])/2 + 
       (277*t[3])/4 - 54*t[4] + 17*t[5] - 87*t[6] - 21*t[7] - 199*t[8] - 
       t[9]/2 + 3*t[10] - 102*t[11] + (3*t[12])/2 - (817*t[13])/18 - 
       (2087*t[14])/12 - (3371*t[15])/72 - 24*t[19] - 6*t[20] - 8*t[21] + 
       6*t[22] + 8*t[23] - 6*t[24] - 2*t[25] + 4*t[26] + 16*t[27] - 7*t[29] - 
       11*t[32] - 8*t[33] + 12*t[34] + 4*t[36] + 4*t[37] - 2*t[38] - 
       20*t[39] + 8*t[40] - 5*t[41] + 5*t[42] + 2*t[43] + (19*t[44])/2 - 
       10*t[45] + 10*t[46] + 30*t[47] - 57*t[48] - (51*t[49])/2 + 2*t[50] - 
       (3*t[51])/4 - 10*t[52] + (51*t[53])/2 - (91*t[54])/2 - 6*t[59] - 
       150*t[60] - (837*t[61])/2 + (611*t[62])/4 - (511*t[63])/4 + 
       (35*t[64])/4 + (197*t[65])/3 + (758*t[66])/3 + 4*t[69] - 4*t[70] + 
       4*t[71] - 22*t[72] - 2*t[74] - 4*t[75] + 14*t[76] - 2*t[77] - 
       36*t[78] - 32*t[80] - 13*t[81] + 31*t[82] + 2*t[83] - 55*t[84] + 
       (101*t[85])/2 + (155*t[87])/2 + (91*t[88])/4 + (123*t[89])/2 + 
       4*t[95] + 4*t[96] - 4*t[97] + 96*t[98] - 224*t[99] + 718*t[100]) + 
     HPL[{0, 1}, 1 - v]*Qep[u, w, v]*((352*t[1])/9 + (520*t[2])/9 + 
       (32*t[3])/9 - (1262*t[4])/9 - (1528*t[5])/9 + (740*t[6])/3 + 
       (368*t[7])/9 + (736*t[8])/9 + (616*t[9])/9 - (481*t[10])/9 - 
       (772*t[11])/9 + (751*t[12])/9 - (4046*t[13])/81 - (9899*t[14])/54 - 
       (793*t[15])/27 - (256*t[26])/9 + (64*t[27])/9 + (32*t[28])/3 + 
       (32*t[30])/3 - (160*t[31])/9 + (128*t[34])/9 - (64*t[35])/3 - 
       (128*t[36])/3 - (256*t[37])/9 + (256*t[38])/9 - (64*t[39])/3 - 
       (224*t[40])/9 - (64*t[41])/9 + (64*t[42])/9 + (16*t[43])/3 - 
       (32*t[44])/3 - (64*t[45])/9 + 32*t[46] + (128*t[47])/9 + 
       (52*t[48])/3 - (2327*t[49])/9 + (988*t[50])/9 + (1715*t[51])/18 - 
       (412*t[52])/9 + (1207*t[53])/9 + (154*t[54])/3 + (128*t[58])/9 - 
       (272*t[59])/9 - (454*t[60])/9 - (3362*t[61])/9 + (2381*t[62])/9 - 
       (3581*t[63])/9 + (937*t[64])/3 + 330*t[65] + (11810*t[66])/27 + 
       (64*t[69])/3 + (64*t[70])/9 - (64*t[71])/9 + (128*t[72])/3 + 
       (128*t[73])/3 + 32*t[74] - (128*t[75])/3 - (2080*t[76])/9 - 
       (32*t[77])/9 + (1984*t[78])/9 + (128*t[79])/3 - (448*t[80])/3 - 
       (656*t[81])/9 - (208*t[82])/9 - (32*t[83])/9 + 150*t[84] - 
       (178*t[85])/9 + (128*t[86])/3 + (3698*t[87])/9 + 337*t[88] + 
       (533*t[89])/3 - (128*t[95])/3 - (1024*t[96])/9 - (160*t[97])/3 - 
       (4480*t[98])/3 + 1408*t[99] + 768*t[100]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-39*t[1] - 3*t[2] + (203*t[3])/2 - 
       (697*t[4])/8 + 60*t[5] - (893*t[6])/8 - 79*t[7] - (519*t[8])/2 - 
       (293*t[9])/2 - (2399*t[10])/16 - (173*t[11])/8 + (1541*t[12])/16 + 
       (1709*t[13])/24 - (12447*t[14])/32 + (29*t[15])/48 - 3*t[16] + 
       9*t[25] + 13*t[26] + 6*t[27] - 12*t[30] - 12*t[31] - 6*t[32] + 
       6*t[33] + 12*t[34] - 18*t[36] - 9*t[37] - 26*t[38] - 42*t[39] + 
       39*t[40] - 6*t[41] + 6*t[42] + 6*t[44] - 6*t[45] - (3*t[46])/2 + 
       6*t[47] - (661*t[48])/8 - (2033*t[49])/16 + (507*t[50])/8 + 
       (2201*t[51])/32 - (651*t[52])/8 + (1073*t[53])/16 - (95*t[54])/2 + 
       (3*t[59])/2 - (567*t[60])/8 - (4303*t[61])/8 + (3601*t[62])/16 - 
       (2185*t[63])/16 + (5705*t[64])/16 + (5485*t[65])/24 + 
       (14407*t[66])/24 + 3*t[68] + 24*t[70] - 24*t[71] + 12*t[72] + 
       12*t[74] - 79*t[76] - 30*t[77] + 69*t[78] + 12*t[80] - (125*t[81])/2 + 
       (143*t[82])/2 - 6*t[83] + (173*t[84])/8 + (219*t[85])/8 + 36*t[86] + 
       (1613*t[87])/8 + (3389*t[88])/16 + (537*t[89])/16 - 24*t[95] - 
       60*t[96] - 9*t[97] - 504*t[98] + 288*t[99] + 774*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*(6*t[1] - (15*t[2])/2 - 
       (47*t[3])/2 - (281*t[4])/8 + (113*t[5])/2 + (435*t[6])/8 + 
       (83*t[7])/2 + 102*t[8] - (127*t[9])/2 + (3879*t[10])/16 - 
       (703*t[11])/8 - (273*t[12])/16 + (719*t[13])/24 - (607*t[14])/32 + 
       (1547*t[15])/48 + 21*t[25] - 3*t[26] - 12*t[30] + 6*t[32] - 6*t[33] - 
       6*t[34] - 12*t[36] - 12*t[37] - 12*t[38] + 22*t[39] - 23*t[40] + 
       3*t[41] - 3*t[42] + 6*t[44] - (9*t[46])/2 + 6*t[47] + (207*t[48])/8 - 
       (691*t[49])/16 + (95*t[50])/8 - (227*t[51])/32 - (95*t[52])/8 - 
       (221*t[53])/16 - 53*t[54] + 6*t[58] + (39*t[59])/2 + (355*t[60])/8 + 
       (289*t[61])/8 - (3147*t[62])/16 - (4693*t[63])/16 + (1037*t[64])/16 + 
       (6149*t[65])/24 + (1953*t[66])/8 - 3*t[68] + 24*t[70] - 24*t[71] + 
       12*t[74] - 87*t[76] + 26*t[77] + 117*t[78] - 24*t[80] - (99*t[81])/2 + 
       (21*t[82])/2 + (273*t[84])/8 - (885*t[85])/8 + 48*t[86] + 
       (1797*t[87])/8 + (3573*t[88])/16 + (3555*t[89])/16 - 24*t[95] - 
       24*t[96] + 9*t[97] - 504*t[98] + 288*t[99] + 774*t[100]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u]*((-211*t[1])/2 + 121*t[2] - 176*t[3] - 
       507*t[4] + (1709*t[5])/4 + (1749*t[6])/4 + (13*t[7])/2 + 
       (2243*t[8])/2 - (2361*t[9])/4 + (469*t[10])/2 - (2807*t[11])/4 - 
       (1111*t[12])/4 - (19195*t[13])/36 + (269*t[14])/6 + (273*t[15])/8 + 
       32*t[16] - 68*t[19] + 64*t[21] - 64*t[23] - 56*t[25] + 128*t[26] - 
       52*t[27] - 36*t[33] - 3*t[34] + 64*t[36] + 36*t[37] - 100*t[38] + 
       330*t[39] - 315*t[40] + (67*t[41])/2 - (67*t[42])/2 - 92*t[45] - 
       84*t[46] + 184*t[47] + (1211*t[48])/4 + 166*t[49] - (61*t[50])/4 - 
       54*t[51] + (1537*t[52])/4 - 166*t[53] - (1839*t[54])/4 + 72*t[58] + 
       27*t[59] + 246*t[60] + 67*t[61] - 1326*t[62] - 1606*t[63] - 
       115*t[64] + 630*t[65] + (1598*t[66])/3 - 32*t[67] - 128*t[68] - 
       8*t[70] + 8*t[71] - 64*t[74] + 88*t[76] + 312*t[77] - 304*t[78] + 
       328*t[80] - 52*t[81] + 208*t[82] - 232*t[84] - 6*t[85] + 184*t[86] + 
       790*t[87] + 395*t[88] + 891*t[89] - 36*t[92] + 36*t[94] - 864*t[98] + 
       528*t[99] + 2304*t[100]) + HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - v]*
      (-489*t[1] - (299*t[2])/2 + (1375*t[3])/2 - (463*t[4])/2 + 172*t[5] - 
       (4225*t[6])/4 - 697*t[7] - 1621*t[8] - 664*t[9] - (1871*t[10])/4 - 
       (1391*t[11])/4 + (5741*t[12])/4 - (20695*t[13])/18 - 
       (39115*t[14])/24 - (4195*t[15])/12 - 72*t[16] - 128*t[19] - 64*t[21] + 
       64*t[23] + 294*t[26] + 92*t[27] + 36*t[33] + 36*t[34] - 144*t[36] - 
       8*t[37] - 315*t[38] - 78*t[39] - 17*t[40] - 50*t[41] + 50*t[42] + 
       36*t[45] + 34*t[46] - 72*t[47] - (2223*t[48])/4 - (681*t[49])/4 + 
       (361*t[50])/4 + (605*t[51])/8 - (193*t[52])/4 + (2121*t[53])/4 - 
       (4379*t[54])/4 - 36*t[55] + 18*t[58] - (33*t[59])/2 - 1742*t[60] - 
       2439*t[61] + (6003*t[62])/4 + (8581*t[63])/4 + (2043*t[64])/2 - 
       (9329*t[65])/6 + 2581*t[66] + 36*t[67] + 144*t[68] + 72*t[74] + 
       330*t[76] + 14*t[77] - 1394*t[78] - 256*t[80] - 254*t[81] + 
       472*t[82] - (1723*t[84])/2 + (1149*t[85])/2 - 72*t[86] + 
       (1679*t[87])/2 + (1679*t[88])/4 - 870*t[89] + 36*t[92] - 36*t[94] - 
       39*t[97] - 864*t[98] + 528*t[99] + 2304*t[100]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u]*(-228*t[1] + 252*t[2] - 264*t[3] - 
       1236*t[4] + 993*t[5] + 696*t[6] - 60*t[7] + 2052*t[8] - 1359*t[9] + 
       630*t[10] - 1746*t[11] - 573*t[12] - 986*t[13] - 276*t[14] + 
       (141*t[15])/2 + 72*t[16] - 144*t[19] + 144*t[21] - 144*t[23] - 
       144*t[25] + 288*t[26] - 72*t[27] - 72*t[33] + 144*t[36] + 72*t[37] - 
       216*t[38] + 612*t[39] - 576*t[40] + 72*t[41] - 72*t[42] - 216*t[45] - 
       144*t[46] + 432*t[47] + 534*t[48] + 234*t[49] + 6*t[50] - 81*t[51] + 
       714*t[52] - 234*t[53] - 942*t[54] + 144*t[58] + 60*t[59] + 96*t[60] - 
       672*t[61] - 2388*t[62] - 3420*t[63] + 342*t[64] + 1596*t[65] + 
       1504*t[66] - 72*t[67] - 288*t[68] - 144*t[74] + 144*t[76] + 
       576*t[77] - 576*t[78] + 720*t[80] - 144*t[81] + 480*t[82] - 
       540*t[84] - 36*t[85] + 432*t[86] + 1836*t[87] + 918*t[88] + 
       1986*t[89] - 72*t[92] + 72*t[94] - 1728*t[98] + 864*t[99] + 
       5616*t[100]) + HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - v]*
      (-900*t[1] - 324*t[2] + 1398*t[3] - 600*t[4] + 342*t[5] - 2109*t[6] - 
       1458*t[7] - 3270*t[8] - 1374*t[9] - 1038*t[10] - 801*t[11] + 
       2712*t[12] - 2147*t[13] - 3499*t[14] - 724*t[15] - 144*t[16] - 
       288*t[19] - 144*t[21] + 144*t[23] + 540*t[26] + 216*t[27] + 72*t[33] + 
       72*t[34] - 288*t[36] - 576*t[38] - 192*t[39] - 24*t[40] - 108*t[41] + 
       108*t[42] + 72*t[45] + 48*t[46] - 144*t[47] - 1179*t[48] - 336*t[49] + 
       141*t[50] + 174*t[51] - 69*t[52] + 1056*t[53] - 2157*t[54] - 
       72*t[55] + 36*t[58] - 36*t[59] - 3534*t[60] - 5298*t[61] + 
       3105*t[62] + 3831*t[63] + 2211*t[64] - 2750*t[65] + 5346*t[66] + 
       72*t[67] + 288*t[68] + 144*t[74] + 660*t[76] + 24*t[77] - 2676*t[78] - 
       576*t[80] - 480*t[81] + 948*t[82] - 1770*t[84] + 1182*t[85] - 
       144*t[86] + 1746*t[87] + 873*t[88] - 1503*t[89] + 72*t[92] - 
       72*t[94] - 72*t[97] - 1728*t[98] + 864*t[99] + 5616*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*((-61*t[1])/4 + 9*t[2] + 
       (117*t[3])/2 + 4*t[4] + (431*t[5])/8 + (189*t[6])/8 + (129*t[7])/4 - 
       99*t[8] - (109*t[9])/8 - 107*t[10] - (867*t[11])/8 - (479*t[12])/8 - 
       (3659*t[13])/72 - (1313*t[14])/12 - (2059*t[15])/144 + 2*t[16] - 
       24*t[25] + t[26] - 15*t[27] + 8*t[28] + 2*t[29] - 2*t[30] - 2*t[31] - 
       10*t[33] + (21*t[34])/2 - 4*t[35] + 34*t[36] + 4*t[37] - 
       (17*t[38])/2 - 12*t[39] - (17*t[40])/2 - (21*t[41])/4 + (21*t[42])/4 + 
       3*t[43] - 27*t[44] - (59*t[45])/2 - (17*t[46])/2 + 54*t[47] - 
       (51*t[48])/8 - 6*t[49] + (129*t[50])/8 + (43*t[51])/4 - 
       (253*t[52])/8 - (47*t[53])/2 - (73*t[54])/8 + t[58] + (7*t[59])/2 - 
       (175*t[60])/4 - (605*t[61])/4 + (1077*t[62])/8 - (97*t[63])/8 - 
       (469*t[64])/8 + (1651*t[65])/12 + (3557*t[66])/12 + 10*t[68] + 
       14*t[69] - 16*t[72] - 34*t[74] - 24*t[76] - 3*t[77] + 32*t[78] + 
       92*t[80] + 3*t[81] - (29*t[82])/2 + 3*t[83] + (203*t[84])/4 + 
       (109*t[85])/4 + 61*t[86] + (23*t[87])/4 + (23*t[88])/8 + 
       (549*t[89])/8 + t[91]/3 - 4*t[96] - 13*t[97] + 108*t[98] - 132*t[99] + 
       192*t[100] - 60*t[101]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((7*t[1])/4 + (29*t[2])/4 + (65*t[3])/4 + 
       23*t[4] - (133*t[5])/8 - (739*t[6])/8 - (57*t[7])/2 - (489*t[8])/4 - 
       (449*t[9])/8 - (67*t[10])/4 - (19*t[11])/8 + (65*t[12])/8 + 
       (757*t[13])/9 - (177*t[14])/4 - (2881*t[15])/144 - t[16]/2 + 
       20*t[25] + 6*t[26] + 30*t[27] - 12*t[28] - 12*t[29] + 12*t[30] + 
       8*t[31] - 10*t[33] + (5*t[34])/2 + 8*t[35] - 19*t[36] + 4*t[37] + 
       (3*t[38])/2 + (41*t[39])/2 + (5*t[40])/2 - (5*t[41])/4 + (5*t[42])/4 - 
       (15*t[43])/2 + 34*t[44] + (13*t[45])/2 + 10*t[46] - 18*t[47] - 
       (327*t[48])/8 - 15*t[49] + (69*t[50])/8 - 12*t[51] - (129*t[52])/8 + 
       22*t[53] - (293*t[54])/8 + 7*t[58] - (17*t[59])/2 - (77*t[60])/4 - 
       (865*t[61])/4 + (1027*t[62])/8 - (387*t[63])/8 + (431*t[64])/8 - 
       (117*t[65])/2 - 189*t[66] - 16*t[68] - 8*t[69] + 2*t[72] + 22*t[74] + 
       (159*t[76])/2 + t[77] - (153*t[78])/2 - 8*t[80] - (9*t[81])/2 + 
       (51*t[82])/2 + 26*t[83] + 8*t[84] + (225*t[85])/4 - 117*t[86] + 
       (355*t[87])/4 + (355*t[88])/8 + (303*t[89])/8 - t[90] - t[91]/3 - 
       6*t[96] - 5*t[97] + 108*t[98] - 132*t[99] + 192*t[100] - 60*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*(69*t[1] + (93*t[2])/2 + 
       18*t[3] - (669*t[4])/4 - (75*t[5])/4 + (75*t[6])/2 + (45*t[7])/2 + 
       75*t[8] + (399*t[9])/4 - (4359*t[10])/8 - (345*t[11])/2 - 
       (2117*t[12])/8 - (1523*t[13])/6 - (2907*t[14])/16 - 60*t[15] + 
       12*t[16] - 84*t[25] - 84*t[26] - 6*t[27] - 12*t[28] - 6*t[33] + 
       12*t[34] + 48*t[35] + 72*t[36] + 18*t[37] + 75*t[38] - 6*t[39] - 
       63*t[40] - 6*t[41] + 6*t[42] - 45*t[45] + 45*t[46] + 87*t[47] + 
       (75*t[48])/2 + (567*t[49])/8 + (51*t[50])/2 + (957*t[51])/16 - 
       (3*t[52])/2 - (111*t[53])/8 + (477*t[54])/4 - (99*t[59])/2 - 
       (777*t[60])/4 - (1683*t[61])/4 + (2133*t[62])/8 - (345*t[63])/8 + 
       (549*t[64])/8 + (125*t[65])/4 + (1101*t[66])/4 - 6*t[68] - 24*t[70] + 
       24*t[71] + 24*t[72] - 48*t[74] - 72*t[75] - 45*t[76] + 42*t[77] + 
       33*t[78] - 60*t[79] + 132*t[80] + 60*t[81] + 27*t[82] - 
       (273*t[84])/4 + (351*t[85])/4 + 144*t[86] - (411*t[87])/4 - 
       (1371*t[88])/8 - (1023*t[89])/8 + t[91] - 6*t[93] + 36*t[95] + 
       12*t[96] - 33*t[97] + 792*t[98] - 864*t[99] - 420*t[100] - 
       36*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*
      (-63*t[1] + 33*t[2] - (147*t[3])/2 - (333*t[4])/4 - (597*t[5])/4 - 
       114*t[6] + 75*t[7] + (45*t[8])/2 + (773*t[9])/4 + (1803*t[10])/8 - 
       (381*t[11])/2 + (609*t[12])/8 - (735*t[13])/4 + (4009*t[14])/16 + 
       t[15]/4 + 3*t[16] - 12*t[19] + 36*t[25] + 96*t[26] + 72*t[27] - 
       12*t[28] + 12*t[31] - 6*t[33] - 6*t[34] + 18*t[36] + 84*t[37] - 
       39*t[38] + 57*t[39] - 21*t[40] + 3*t[41] - 3*t[42] + 51*t[45] - 
       42*t[46] - 105*t[47] + 3*t[48] + (1485*t[49])/8 - 21*t[50] - 
       (1659*t[51])/16 + 63*t[52] - (789*t[53])/8 + (423*t[54])/4 - 
       (45*t[59])/2 - (1107*t[60])/4 - (27*t[61])/4 + (1149*t[62])/8 + 
       (3687*t[63])/8 + (33*t[64])/8 - (2305*t[65])/4 - (1057*t[66])/4 - 
       66*t[68] - 24*t[70] + 24*t[71] - 36*t[72] - 12*t[74] - 72*t[75] + 
       132*t[76] - 180*t[78] + 24*t[79] - 192*t[80] - 33*t[81] - 3*t[82] - 
       6*t[83] - (471*t[84])/4 + (387*t[85])/4 - 144*t[86] - (951*t[87])/4 - 
       (1911*t[88])/8 - (285*t[89])/8 - 6*t[90] - t[91] - 6*t[93] + 
       36*t[95] + 60*t[96] - 15*t[97] + 792*t[98] - 864*t[99] - 420*t[100] - 
       36*t[101]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((53*t[1])/6 - (53*t[2])/12 - (595*t[3])/24 - 
       (209*t[4])/6 - (249*t[5])/8 + (241*t[6])/48 + (1295*t[7])/24 + 
       (563*t[8])/24 + (1819*t[9])/24 - (323*t[10])/12 - (647*t[11])/48 + 
       (133*t[12])/12 - (3017*t[13])/432 + (1295*t[14])/144 - 
       (101*t[15])/72 - t[16]/3 + (17*t[17])/6 - t[18] - (7*t[19])/3 - 
       7*t[20] + t[21] + (11*t[23])/3 - (14*t[24])/3 - (19*t[25])/3 + 
       (19*t[26])/6 + 2*t[27] + (13*t[29])/2 + (29*t[30])/3 + 2*t[31] - 
       (14*t[32])/3 - (11*t[33])/3 + 16*t[34] + (5*t[36])/3 + 3*t[37] + 
       (13*t[38])/3 + (28*t[40])/3 - (13*t[41])/3 + (13*t[42])/3 - 
       (37*t[43])/8 - (7*t[44])/4 - (53*t[45])/12 + 4*t[46] + (35*t[47])/3 + 
       (85*t[48])/48 + (5*t[49])/8 + (361*t[50])/48 + (89*t[51])/24 - 
       (1417*t[52])/48 + (111*t[53])/8 + (535*t[54])/48 - t[55]/6 + 
       (3*t[58])/2 - (49*t[59])/6 - (245*t[60])/8 - (281*t[61])/8 + 
       (1115*t[62])/48 - (1219*t[63])/48 + (1769*t[64])/48 + 
       (5711*t[65])/72 - (265*t[66])/8 - t[67]/6 - t[68]/6 + 5*t[69] - 
       (31*t[70])/3 + (31*t[71])/3 - 6*t[72] - (20*t[74])/3 + (119*t[76])/6 - 
       2*t[77] - (22*t[78])/3 + (91*t[80])/3 + (26*t[81])/3 - (9*t[82])/2 - 
       (7*t[84])/8 + (127*t[85])/8 + (92*t[86])/3 + (107*t[87])/24 - 
       (925*t[88])/48 + (751*t[89])/16 + (3*t[90])/2 + t[92] - t[94] + 
       (14*t[95])/3 + (14*t[96])/3 - (11*t[97])/3 + 120*t[98] - 88*t[99] + 
       9*t[100] - 28*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*
      ((69*t[1])/2 + (87*t[2])/4 + (59*t[3])/4 - (897*t[4])/8 - (33*t[5])/2 + 
       (231*t[6])/16 + (9*t[7])/2 + (31*t[8])/2 + (203*t[9])/4 - 
       (3535*t[10])/16 - (853*t[11])/16 - (1533*t[12])/16 - (4535*t[13])/36 - 
       (7409*t[14])/96 - (381*t[15])/16 + 4*t[16] - (65*t[25])/2 - 
       (75*t[26])/2 - 4*t[27] - 4*t[28] - 3*t[33] + 6*t[34] + 16*t[35] + 
       11*t[36] + 9*t[37] + (75*t[38])/2 - (39*t[40])/2 - 3*t[41] + 3*t[42] - 
       (29*t[45])/2 + (111*t[46])/4 + (55*t[47])/2 + (207*t[48])/16 + 
       (355*t[49])/16 + (295*t[50])/16 + (871*t[51])/32 - (103*t[52])/16 + 
       (261*t[53])/16 + (1143*t[54])/16 - (99*t[59])/4 - (599*t[60])/4 - 
       (1411*t[61])/8 + (1015*t[62])/8 + (93*t[63])/2 + (1669*t[64])/16 - 
       (683*t[65])/24 + (1789*t[66])/24 - 2*t[68] - 12*t[70] + 12*t[71] + 
       8*t[72] + 8*t[73] - 3*t[74] - 44*t[75] - (47*t[76])/2 + 9*t[77] + 
       19*t[78] - 20*t[79] + 50*t[80] + (95*t[81])/4 + (71*t[82])/4 - 
       2*t[83] - (341*t[84])/8 + 25*t[85] + 50*t[86] - (49*t[87])/2 - 
       (279*t[88])/4 - (1545*t[89])/16 + t[91]/3 - 2*t[93] + 18*t[95] + 
       6*t[96] - (33*t[97])/2 + 276*t[98] - 288*t[99] - 173*t[100] - 
       18*t[101]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      ((-49*t[1])/2 + (63*t[2])/4 - 37*t[3] - (821*t[4])/8 - (377*t[5])/8 - 
       (239*t[6])/16 + (181*t[7])/4 + (149*t[8])/4 + (561*t[9])/8 + 
       (1295*t[10])/16 - (1859*t[11])/16 + (627*t[12])/16 - (8515*t[13])/72 + 
       (8747*t[14])/96 + (119*t[15])/8 + t[16] - 6*t[19] + (15*t[25])/2 + 
       (89*t[26])/2 + 24*t[27] - 4*t[28] + 4*t[31] - 3*t[33] - 3*t[34] + 
       9*t[36] + 34*t[37] - (39*t[38])/2 + (47*t[39])/2 - (21*t[40])/2 + 
       (3*t[41])/2 - (3*t[42])/2 + (35*t[45])/2 - (73*t[46])/4 - 
       (73*t[47])/2 + (329*t[48])/16 + (1301*t[49])/16 + t[50]/16 - 
       (1321*t[51])/32 + (335*t[52])/16 - (509*t[53])/16 + (957*t[54])/16 - 
       (17*t[59])/4 - (787*t[60])/4 + (215*t[61])/8 + (101*t[62])/2 + 
       (2043*t[63])/8 + (607*t[64])/16 - (1435*t[65])/8 - (35*t[66])/8 - 
       21*t[68] - 12*t[70] + 12*t[71] - 12*t[72] + 8*t[73] - 7*t[74] - 
       44*t[75] + 37*t[76] - (111*t[78])/2 + 8*t[79] - 64*t[80] - 
       (77*t[81])/4 + (29*t[82])/4 - 6*t[83] - (487*t[84])/8 - t[85]/4 - 
       50*t[86] - (197*t[87])/4 - (657*t[88])/8 - (461*t[89])/16 - 3*t[90] - 
       t[91]/3 - 2*t[93] + 18*t[95] + 30*t[96] - (15*t[97])/2 + 276*t[98] - 
       288*t[99] - 173*t[100] - 18*t[101]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*((-25*t[1])/4 - 
       (119*t[2])/8 + (1467*t[3])/16 + (245*t[4])/8 + (437*t[5])/16 - 
       (77*t[6])/4 - (181*t[7])/4 - (167*t[8])/2 - (347*t[9])/16 - 
       (1215*t[10])/16 - 29*t[11] - (69*t[12])/2 - (7*t[13])/3 - 
       (5959*t[14])/96 - (631*t[15])/24 - t[16] + t[17]/2 + 2*t[19] - 
       10*t[20] + t[21] + 8*t[22] - t[23] + 9*t[24] + t[25]/2 - 
       (33*t[26])/2 + 3*t[27] - 8*t[28] + (69*t[29])/4 + 23*t[30] + 4*t[31] - 
       (131*t[32])/4 - (3*t[33])/2 + (27*t[34])/2 - 4*t[35] + 5*t[36] - 
       2*t[37] - (5*t[38])/2 - (3*t[39])/2 + 2*t[40] - (7*t[41])/4 + 
       (7*t[42])/4 - (57*t[43])/8 - (149*t[44])/8 - (35*t[45])/4 + 
       (3*t[46])/4 + 2*t[47] - (211*t[48])/8 + (329*t[49])/16 - 
       (245*t[50])/8 - (347*t[51])/32 + (169*t[52])/8 - (305*t[53])/16 - 
       (389*t[54])/8 - t[55]/2 + t[56] + 2*t[57] - 9*t[59] - (773*t[60])/8 - 
       (1341*t[61])/8 + (1387*t[62])/8 + (299*t[63])/2 - (105*t[64])/16 - 
       57*t[65] + (1909*t[66])/12 + t[67] - t[68] + t[69] - 11*t[70] + 
       10*t[71] - 15*t[72] + 2*t[73] + (5*t[74])/2 - 14*t[75] + 
       (75*t[76])/2 - 7*t[77] - (113*t[78])/2 - 6*t[79] + 18*t[80] + 
       (11*t[81])/2 + (33*t[82])/2 + (29*t[83])/2 - (131*t[84])/4 + 
       (223*t[85])/4 - 26*t[86] - (41*t[87])/2 - (251*t[88])/4 - 
       (63*t[89])/4 - 2*t[93] - t[94] + 11*t[95] + 13*t[96] - (11*t[97])/2 + 
       228*t[98] - 216*t[99] - 49*t[100] - 18*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((47*t[1])/4 - (17*t[2])/2 - (151*t[3])/2 + (225*t[4])/8 - 
       (1331*t[5])/16 - (413*t[6])/16 + (1085*t[7])/16 + (1651*t[8])/16 + 
       (1641*t[9])/8 - (325*t[10])/8 + (153*t[11])/2 + (359*t[12])/8 + 
       (18577*t[13])/288 + (7103*t[14])/96 - (271*t[15])/9 + t[16] + 
       2*t[17] + 11*t[18] - 2*t[19] - 21*t[20] + 17*t[21] + 35*t[22] - 
       16*t[23] + 28*t[24] + (3*t[25])/2 + 2*t[26] + 9*t[27] + 6*t[28] - 
       (11*t[29])/2 + 12*t[30] - t[31] + (27*t[32])/2 - 9*t[33] + 25*t[34] - 
       4*t[35] + 3*t[36] + t[37] - 3*t[38] + 17*t[39] - 18*t[40] + 
       (13*t[41])/4 + (15*t[42])/4 - (385*t[43])/16 - (65*t[44])/4 - 
       (147*t[45])/8 + (9*t[46])/2 + (223*t[47])/4 + (111*t[48])/8 - 
       (147*t[49])/16 - (41*t[50])/8 + (15*t[51])/32 + (73*t[52])/8 + 
       (99*t[53])/16 + (29*t[54])/4 + (7*t[56])/2 - 8*t[57] + (3*t[58])/2 - 
       (17*t[59])/2 + (717*t[60])/8 + 101*t[61] - (755*t[62])/16 - 
       (1363*t[63])/16 + (283*t[64])/8 + 151*t[65] - (3053*t[66])/12 - 
       t[67] - 8*t[68] - 8*t[69] - 26*t[70] + 25*t[71] - 6*t[72] - 6*t[73] + 
       8*t[74] + 2*t[75] + 64*t[76] + 11*t[77] - 46*t[78] + 74*t[80] + 
       (89*t[81])/4 + (53*t[82])/4 + 8*t[83] + (43*t[84])/4 + (359*t[85])/8 - 
       (23*t[86])/2 - (227*t[87])/8 - (339*t[88])/16 + 91*t[89] - t[91]/6 - 
       t[92]/2 - 2*t[93] + t[94] - 2*t[95] + t[97] + 228*t[98] - 216*t[99] - 
       49*t[100] - 18*t[101]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((22*t[1])/3 + (119*t[2])/6 - 
       (2417*t[3])/48 + (1511*t[4])/48 - (31*t[5])/4 + (5021*t[6])/96 + 
       (711*t[7])/16 + (2489*t[8])/48 + (201*t[9])/4 - (2159*t[10])/96 + 
       (8605*t[11])/96 + (2443*t[12])/96 + (12359*t[13])/288 + 
       (33301*t[14])/576 + (1325*t[15])/108 + (5*t[16])/6 - (2*t[17])/3 + 
       (5*t[19])/3 - 2*t[20] + t[21] - t[23] - (8*t[24])/3 + 6*t[25] - 
       (37*t[26])/6 + (4*t[27])/3 + 6*t[28] + (65*t[29])/12 + t[30] - 
       4*t[31] + (29*t[32])/2 - (71*t[33])/6 + (13*t[34])/3 - 12*t[35] - 
       (8*t[36])/3 - t[37]/3 + (20*t[38])/3 + (25*t[39])/3 - 8*t[40] + 
       3*t[41] - 3*t[42] + (9*t[43])/16 - (55*t[44])/24 - (83*t[45])/8 + 
       (11*t[46])/2 + (31*t[47])/4 + (505*t[48])/96 - (3619*t[49])/96 + 
       (565*t[50])/96 + (1705*t[51])/192 - (53*t[52])/96 + (1811*t[53])/96 - 
       (167*t[54])/96 + t[55]/6 + t[56]/2 - t[57] + (3*t[58])/2 - 
       (5*t[59])/3 + (4753*t[60])/24 + (3023*t[61])/24 - (3661*t[62])/48 - 
       (6635*t[63])/48 - (637*t[64])/48 - (3559*t[65])/72 - (1781*t[66])/24 - 
       t[68] + 3*t[69] + 8*t[70] - 9*t[71] + 4*t[72] + 13*t[74] + 2*t[75] - 
       (85*t[76])/6 + (13*t[77])/6 + (61*t[78])/6 + (13*t[79])/2 + 
       (19*t[80])/3 - t[81] - (13*t[82])/2 - (49*t[83])/2 + (1229*t[84])/24 - 
       (247*t[85])/24 - (33*t[86])/2 - (503*t[87])/24 + (1385*t[88])/48 + 
       (1075*t[89])/48 - (46*t[95])/3 - 13*t[96] + (13*t[97])/3 - 132*t[98] + 
       132*t[99] - 88*t[100] - 16*t[101]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((-49*t[1])/6 + (73*t[2])/6 + 
       (145*t[3])/24 - (145*t[4])/16 - (203*t[5])/96 + (287*t[6])/8 - 
       (917*t[7])/24 + (37*t[8])/2 - (5963*t[9])/96 - (1765*t[10])/96 - 
       (699*t[11])/16 - (59*t[12])/16 - (2135*t[13])/108 - 
       (16949*t[14])/576 + (20341*t[15])/576 - (7*t[17])/3 - (8*t[18])/3 + 
       (7*t[19])/3 - 9*t[20] - (11*t[21])/3 + 16*t[22] + t[23] - 5*t[24] + 
       (31*t[25])/3 - (26*t[26])/3 + (2*t[27])/3 - 3*t[28] - (15*t[29])/4 - 
       (17*t[31])/3 - t[32] - (17*t[33])/3 - (13*t[36])/3 - 7*t[37] - 
       (19*t[38])/3 - (2*t[39])/3 - (41*t[40])/12 - (10*t[41])/3 + 2*t[42] + 
       (23*t[43])/16 - (67*t[44])/8 - (77*t[45])/12 - 3*t[46] - 
       (34*t[47])/3 + (14*t[48])/3 - (3079*t[49])/96 + (67*t[50])/4 + 
       (1835*t[51])/192 - (73*t[52])/12 + (839*t[53])/96 - (409*t[54])/48 - 
       t[55]/6 + (3*t[56])/2 + 3*t[57] + (2*t[58])/3 + (139*t[59])/12 - 
       (309*t[60])/8 - (1423*t[61])/24 + (1381*t[62])/12 + (191*t[63])/2 - 
       (3467*t[64])/48 + (1237*t[65])/18 + (15755*t[66])/72 + 6*t[68] - 
       2*t[69] + (10*t[70])/3 - (10*t[71])/3 - 4*t[72] - 6*t[73] + 15*t[74] + 
       7*t[75] - (145*t[76])/2 + (14*t[77])/3 + (91*t[78])/2 + 10*t[79] - 
       (157*t[80])/6 + (11*t[81])/6 + (40*t[82])/3 - (88*t[83])/3 + 
       (529*t[84])/12 - (50*t[85])/3 + (43*t[86])/12 + (475*t[87])/12 + 
       (635*t[88])/24 - (1021*t[89])/48 - t[92]/3 - 20*t[95] - 26*t[96] - 
       (15*t[97])/2 - 236*t[98] + 240*t[99] - 58*t[100] - 16*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (t[1]/2 - (129*t[2])/4 + (1287*t[3])/8 + (543*t[4])/4 + (411*t[5])/4 - 
       (861*t[6])/4 - 65*t[7] - (245*t[8])/2 - (453*t[9])/2 - (453*t[10])/8 + 
       (825*t[11])/4 - (637*t[12])/8 - (728*t[13])/9 - (6049*t[14])/48 - 
       (921*t[15])/16 - (3*t[17])/2 - 12*t[19] - 24*t[20] - 12*t[21] + 
       40*t[22] + 12*t[23] + 2*t[24] + 10*t[25] - 22*t[26] + 16*t[27] - 
       32*t[28] - (23*t[29])/2 + (7*t[30])/2 + 16*t[31] + 14*t[32] - 
       (39*t[33])/2 - 35*t[34] + 40*t[35] - 20*t[36] + 19*t[37] + 17*t[38] + 
       (63*t[39])/2 + (13*t[40])/2 - 7*t[41] + 7*t[42] - (35*t[43])/2 + 
       (31*t[44])/4 + (87*t[45])/2 + 10*t[46] - 12*t[47] - (289*t[48])/4 + 
       (703*t[49])/8 - (245*t[50])/4 - (643*t[51])/16 + (9*t[52])/4 - 
       (599*t[53])/8 - (579*t[54])/4 + 4*t[56] + 8*t[57] - 6*t[58] - 
       (29*t[59])/2 - (509*t[60])/4 + 43*t[61] - 208*t[62] + (531*t[63])/4 + 
       (877*t[64])/4 - (3793*t[65])/12 - (91*t[66])/12 + t[68] - 12*t[69] + 
       2*t[70] - 2*t[71] - 12*t[72] + 53*t[74] - 52*t[75] + 57*t[76] - 
       t[77] - 131*t[78] + 4*t[79] - 64*t[80] + (13*t[81])/2 + (73*t[82])/2 + 
       80*t[83] - (451*t[84])/4 - (3*t[85])/2 + 171*t[86] - 91*t[87] - 
       (81*t[88])/2 - (1563*t[89])/8 - 6*t[93] + 18*t[95] + 22*t[96] + 
       17*t[97] + 336*t[98] - 380*t[99] - 320*t[100] - 12*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((15*t[1])/2 - 10*t[2] - 34*t[3] + (481*t[4])/4 + (149*t[5])/4 - 
       (599*t[6])/8 + (475*t[7])/8 - (41*t[8])/8 - (881*t[9])/8 + 
       (67*t[10])/2 + (771*t[11])/4 - (323*t[12])/8 + (4391*t[13])/48 + 
       (4981*t[14])/48 - (139*t[15])/16 + 2*t[17] + 2*t[18] - 16*t[19] - 
       24*t[20] + 18*t[21] + 8*t[22] - 18*t[23] + 2*t[24] + 15*t[25] - 
       11*t[26] + t[27] + 16*t[28] - 6*t[29] + 58*t[30] + 4*t[31] - 4*t[32] + 
       12*t[33] - 30*t[34] - 24*t[35] + 24*t[36] + 38*t[37] + 7*t[38] - 
       7*t[39] + 29*t[40] + (13*t[41])/2 - (11*t[42])/2 + (87*t[43])/8 + 
       33*t[44] - (23*t[45])/4 - (41*t[46])/2 + (49*t[47])/2 + 
       (263*t[48])/4 + (679*t[49])/8 - (431*t[50])/4 - (65*t[51])/16 + 
       (207*t[52])/4 - (559*t[53])/8 - (39*t[54])/2 + 2*t[56] + 4*t[57] - 
       5*t[58] + 4*t[59] + (1093*t[60])/4 + (1799*t[61])/4 - (3757*t[62])/8 - 
       (1031*t[63])/8 - (63*t[64])/8 - (2971*t[65])/12 - (2099*t[66])/4 - 
       16*t[69] - 8*t[70] + 8*t[71] - 24*t[72] - 16*t[73] - 12*t[74] - 
       4*t[75] + 45*t[76] + 16*t[77] - 57*t[78] - 4*t[79] + 83*t[80] + 
       32*t[81] - (73*t[82])/2 + 64*t[83] - (161*t[84])/4 - (197*t[85])/4 + 
       141*t[86] - (575*t[87])/4 - (447*t[88])/8 + (67*t[89])/8 + t[92] - 
       4*t[93] + 8*t[95] + 32*t[96] + 24*t[97] + 336*t[98] - 380*t[99] - 
       320*t[100] - 12*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((5*t[1])/4 + (29*t[2])/2 + (151*t[3])/8 - 
       (457*t[4])/8 - (683*t[5])/16 - (243*t[6])/16 - (37*t[7])/8 - 
       (209*t[8])/8 + (181*t[9])/16 - (683*t[10])/16 - (1629*t[11])/16 + 
       (207*t[12])/8 - (389*t[13])/48 - (7433*t[14])/96 - (7727*t[15])/288 - 
       (5*t[16])/2 + 8*t[25] + (5*t[26])/2 + 16*t[27] - 8*t[28] - 5*t[29] + 
       9*t[30] + 6*t[31] - 2*t[32] + (7*t[34])/2 + 2*t[35] - 11*t[36] + 
       7*t[37] + 2*t[38] + (3*t[39])/2 - (9*t[40])/2 - (7*t[41])/4 + 
       (7*t[42])/4 - (7*t[43])/4 + (3*t[44])/2 - t[45]/4 + 6*t[46] - 
       (5*t[47])/2 - (115*t[48])/16 - (319*t[49])/16 + (193*t[50])/16 + 
       (53*t[51])/32 + (71*t[52])/16 + (535*t[53])/16 + (377*t[54])/16 + 
       (3*t[58])/2 - (33*t[59])/4 - (569*t[60])/4 - (1183*t[61])/4 + 
       (1651*t[62])/8 + (91*t[63])/8 + (759*t[64])/8 + (479*t[65])/12 + 
       (689*t[66])/12 - 8*t[68] - 2*t[69] - 2*t[70] + 2*t[71] - 18*t[72] + 
       12*t[73] + 6*t[74] - 16*t[75] + 5*t[76] - t[77] - (21*t[78])/2 + 
       12*t[79] - 44*t[80] - (23*t[81])/2 + 25*t[82] + 21*t[83] + 
       (3*t[84])/2 + 55*t[85] - (73*t[86])/2 + (181*t[87])/2 + 
       (145*t[88])/4 + (461*t[89])/8 - t[91]/6 - 2*t[93] - 9*t[96] - 
       (29*t[97])/2 - 72*t[98] + 48*t[99] + 311*t[100] - 12*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-15*t[1])/2 + (47*t[2])/4 + (143*t[3])/8 - (305*t[4])/8 - 
       (239*t[5])/16 + (765*t[6])/16 - (297*t[7])/8 + (169*t[8])/8 + 
       (85*t[9])/16 - (125*t[10])/16 - (2717*t[11])/16 - (25*t[12])/2 - 
       (11299*t[13])/144 - (7277*t[14])/96 - (1057*t[15])/96 + t[16]/2 - 
       14*t[25] + 8*t[26] - 5*t[27] + 5*t[29] + t[30] + 6*t[31] + 2*t[32] - 
       4*t[33] + t[34] + 6*t[35] + 17*t[36] - 5*t[37] - (15*t[38])/2 - 
       6*t[39] - (25*t[40])/2 - t[41]/2 + t[42]/2 - (25*t[43])/4 - 
       (31*t[44])/2 - (17*t[45])/4 - t[46]/2 + (19*t[47])/2 + 
       (205*t[48])/16 - (117*t[49])/16 + (305*t[50])/16 + (125*t[51])/32 - 
       t[52]/16 + (77*t[53])/16 + (305*t[54])/16 + 3*t[58] - t[59] - 
       (391*t[60])/4 - (919*t[61])/4 + (1707*t[62])/8 + (31*t[63])/8 - 
       (813*t[64])/8 + (587*t[65])/4 + (1751*t[66])/6 + (7*t[68])/2 + 
       8*t[69] - 14*t[72] + 12*t[73] - 24*t[74] - 12*t[75] - (75*t[76])/2 - 
       4*t[77] + 47*t[78] - 4*t[79] - 28*t[80] - (29*t[81])/2 + (3*t[82])/2 - 
       7*t[83] + (21*t[84])/2 + (47*t[85])/2 - (141*t[86])/2 + 65*t[87] + 
       (47*t[88])/2 + 79*t[89] + t[90]/2 + t[91]/6 - 7*t[96] - 12*t[97] - 
       72*t[98] + 48*t[99] + 311*t[100] - 12*t[101]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*((37*t[1])/18 - 
       (1603*t[2])/144 - (4489*t[3])/144 + (9133*t[4])/288 - (619*t[5])/32 + 
       (3571*t[6])/144 + (183*t[7])/16 + (319*t[8])/24 + (4273*t[9])/96 - 
       (12283*t[10])/576 + (8077*t[11])/144 + (7787*t[12])/576 + 
       (898*t[13])/27 + (121765*t[14])/3456 + (851*t[15])/108 - (7*t[16])/8 - 
       t[18] + 3*t[19] - (15*t[20])/2 - 6*t[21] + (9*t[22])/2 + 6*t[23] - 
       (7*t[24])/2 + (38*t[25])/9 - (301*t[26])/36 - (2*t[27])/9 + t[28]/2 - 
       (13*t[29])/4 - (7*t[30])/3 - (43*t[31])/9 + 3*t[32] + t[33]/2 - 
       (173*t[34])/36 - t[35] - (41*t[36])/12 - (77*t[37])/36 + 
       (157*t[38])/72 - (7*t[39])/9 + (65*t[40])/36 - (97*t[41])/72 + 
       (61*t[42])/72 + (73*t[43])/48 + (11*t[44])/8 + (413*t[45])/72 - 
       (19*t[46])/36 - (467*t[47])/36 + 7*t[48] - (931*t[49])/192 - 
       (3*t[50])/4 + (5171*t[51])/1152 + (7*t[52])/6 + (209*t[53])/64 + 
       (851*t[54])/96 - t[55]/2 - (35*t[58])/36 + (331*t[59])/72 + 
       (25499*t[60])/288 + (18721*t[61])/288 - (1615*t[62])/576 - 
       (4633*t[63])/576 - (21691*t[64])/576 - (54209*t[65])/864 - 
       (87919*t[66])/864 + t[67]/2 + (7*t[68])/4 + (56*t[70])/9 - 
       (56*t[71])/9 - (41*t[72])/18 + (2*t[73])/3 + (31*t[74])/6 - 
       (2*t[75])/3 + (49*t[76])/18 - (26*t[77])/9 - (19*t[78])/9 - 
       (34*t[80])/9 + (41*t[81])/4 - (130*t[82])/9 - (19*t[83])/9 + 
       (7507*t[84])/288 + (2431*t[85])/288 - (71*t[86])/6 - 
       (11971*t[87])/288 + (21*t[88])/64 - (11849*t[89])/576 + t[92]/2 - 
       t[94]/2 - (14*t[95])/3 - (35*t[96])/9 + (5*t[97])/2 - (77*t[98])/3 + 
       63*t[99] - 163*t[100] - 9*t[101]) + HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u]*((-95*t[1])/144 + (148*t[2])/9 - (205*t[3])/9 + 
       (503*t[4])/288 - (2939*t[5])/288 + (365*t[6])/6 - (29*t[7])/72 + 
       (2419*t[8])/36 - (1621*t[9])/288 + (6809*t[10])/576 - (823*t[11])/36 - 
       (6449*t[12])/576 - (9985*t[13])/2592 + (112231*t[14])/3456 + 
       (12059*t[15])/864 - 2*t[18] + (5*t[19])/2 + (15*t[20])/2 + 3*t[21] - 
       t[22] - 3*t[23] + t[24]/2 + (5*t[25])/4 - (67*t[26])/36 + t[27]/36 + 
       2*t[28] - (9*t[29])/4 + (2*t[30])/3 + (38*t[31])/9 + (15*t[32])/4 - 
       2*t[33] - (221*t[34])/72 - 4*t[35] - 3*t[36] - (52*t[37])/9 + 
       (4*t[38])/9 + 6*t[39] - (245*t[40])/36 + (797*t[41])/144 - 
       (941*t[42])/144 + (181*t[43])/48 - (21*t[44])/8 + (307*t[45])/72 - 
       (53*t[46])/24 - (469*t[47])/36 + (295*t[48])/16 - (2681*t[49])/576 + 
       (643*t[50])/144 - (3715*t[51])/1152 + (1223*t[52])/144 - 
       (191*t[53])/576 + (1315*t[54])/96 - t[55]/8 - (16*t[58])/9 + 
       (763*t[59])/144 + (5617*t[60])/288 + (21071*t[61])/288 + 
       (15179*t[62])/576 + (5077*t[63])/576 - (15587*t[64])/192 + 
       (4705*t[65])/288 + (48451*t[66])/864 - t[67]/8 - t[68]/8 + 
       (7*t[69])/6 + (155*t[70])/18 - (155*t[71])/18 + (8*t[72])/3 + 
       (19*t[73])/6 + (13*t[74])/4 - (19*t[75])/6 - (335*t[76])/18 + 
       (28*t[77])/9 + (220*t[78])/9 + 8*t[79] - t[80] - (193*t[81])/72 - 
       (215*t[82])/72 - (19*t[83])/18 + (3397*t[84])/96 - (695*t[85])/288 - 
       (64*t[86])/3 + (2467*t[87])/288 + (1371*t[88])/64 + (3677*t[89])/192 + 
       (3*t[90])/8 - t[92]/2 + t[94]/2 - (16*t[95])/3 - (55*t[96])/9 - 
       (25*t[97])/8 - (337*t[98])/3 + 153*t[99] - 138*t[100] - 9*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*
      ((23*t[1])/2 + (25*t[2])/4 - (9*t[3])/4 - (313*t[4])/8 - (67*t[5])/4 + 
       (255*t[6])/16 + 8*t[7] + (47*t[8])/2 + 37*t[9] - (863*t[10])/16 + 
       (387*t[11])/16 - (153*t[12])/16 - (247*t[13])/9 + (1103*t[14])/96 - 
       (7*t[15])/16 - (9*t[25])/2 - (19*t[26])/2 - 2*t[27] - t[33] + 
       2*t[34] - 13*t[36] + 3*t[37] + (25*t[38])/2 + 10*t[39] - 
       (13*t[40])/2 - t[41] + t[42] + t[45]/2 + (51*t[46])/4 - (3*t[47])/2 + 
       (231*t[48])/16 + (35*t[49])/16 + (31*t[50])/16 + (175*t[51])/32 + 
       (33*t[52])/16 + (277*t[53])/16 + (519*t[54])/16 - (33*t[59])/4 - 
       (137*t[60])/4 + (169*t[61])/8 + (109*t[62])/8 + (85*t[63])/4 + 
       (769*t[64])/16 - (907*t[65])/24 - (1819*t[66])/24 - 4*t[70] + 
       4*t[71] + 8*t[73] + 13*t[74] - 20*t[75] + (3*t[76])/2 + 3*t[77] + 
       8*t[78] + 6*t[80] + (47*t[81])/4 - (21*t[82])/4 - (49*t[84])/8 - 
       3*t[85] + 2*t[86] - 19*t[87] - 27*t[88] - (681*t[89])/16 + 6*t[95] + 
       2*t[96] - (11*t[97])/2 + 60*t[98] - 165*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      ((-11*t[1])/2 + (19*t[2])/4 - (25*t[3])/2 - (449*t[4])/8 - 
       (111*t[5])/8 + (353*t[6])/16 + (77*t[7])/4 + (115*t[8])/4 + 
       (179*t[9])/8 - (297*t[10])/16 - (475*t[11])/16 + (351*t[12])/16 - 
       (3715*t[13])/72 + (1967*t[14])/96 + (29*t[15])/4 - 2*t[19] - 
       (9*t[25])/2 + (21*t[26])/2 - t[33] - t[34] + 3*t[36] + 6*t[37] - 
       (9*t[38])/2 + (9*t[39])/2 - (7*t[40])/2 + t[41]/2 - t[42]/2 + 
       t[45]/2 - (25*t[46])/4 - (3*t[47])/2 + (249*t[48])/16 + 
       (413*t[49])/16 + (49*t[50])/16 - (253*t[51])/32 + (63*t[52])/16 - 
       (85*t[53])/16 + (341*t[54])/16 - (7*t[59])/4 - (339*t[60])/4 + 
       (535*t[61])/8 + 5*t[62] + (923*t[63])/8 + (415*t[64])/16 - 
       (163*t[65])/8 + (763*t[66])/24 + t[68] - 4*t[70] + 4*t[71] + 8*t[73] - 
       3*t[74] - 20*t[75] - 5*t[76] + (9*t[78])/2 - (25*t[81])/4 + 
       (33*t[82])/4 - 4*t[83] - (151*t[84])/8 - (69*t[85])/4 - 6*t[86] + 
       (37*t[87])/4 - (103*t[88])/8 - (605*t[89])/16 - t[90] + 6*t[95] + 
       10*t[96] - (5*t[97])/2 + 60*t[98] - 165*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (2*t[1] - (9*t[2])/2 - (17*t[3])/2 + 86*t[4] - (9*t[5])/8 + 
       (95*t[6])/4 - (145*t[7])/4 + (21*t[8])/4 + (115*t[9])/8 + 
       (17*t[10])/8 + 30*t[11] - (39*t[12])/4 + (321*t[13])/8 + 
       (111*t[14])/8 - (85*t[15])/48 + t[16] + 6*t[19] - 4*t[20] - 4*t[21] + 
       2*t[22] + 4*t[23] + 7*t[25] - 16*t[26] - 2*t[27] + 10*t[28] + 
       3*t[29] - 2*t[30] - 6*t[31] - t[33] - 8*t[35] + 7*t[36] + 4*t[37] + 
       9*t[38] + 9*t[39] + t[40] - t[41] + t[42] - (3*t[43])/4 - 
       (29*t[44])/2 + (21*t[45])/2 - (9*t[46])/2 - (39*t[47])/2 + 
       (23*t[48])/2 - (161*t[49])/8 - (13*t[50])/2 + (81*t[51])/8 + 
       (11*t[52])/2 - (47*t[53])/8 - (41*t[54])/2 - (9*t[59])/2 + 
       (677*t[60])/4 + (269*t[61])/4 + (169*t[62])/4 - (105*t[63])/4 - 
       (1119*t[64])/8 - (127*t[65])/2 - 22*t[66] - 2*t[68] + 8*t[69] + 
       6*t[70] - 6*t[71] + 6*t[72] - 8*t[73] - 7*t[74] + 4*t[75] - 38*t[76] - 
       t[77] + 70*t[78] - 2*t[79] - 58*t[80] + 3*t[81] - 6*t[82] + 24*t[83] + 
       48*t[84] - (5*t[85])/2 - 89*t[86] - (3*t[87])/2 + (113*t[88])/4 + 
       (23*t[89])/4 + t[90] + 2*t[93] - 10*t[95] - 12*t[96] - 180*t[98] + 
       272*t[99] - 90*t[100] - 6*t[101]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-25*t[1])/4 - 
       (13*t[2])/4 + (11*t[3])/2 + (161*t[4])/4 - 8*t[5] + 13*t[6] - 
       (45*t[7])/2 + 112*t[8] - (181*t[9])/4 + (109*t[10])/2 - 
       (137*t[11])/4 - (797*t[13])/72 + t[14]/48 + (481*t[15])/72 - t[16] + 
       4*t[19] + 4*t[20] + 4*t[21] - 4*t[22] - 4*t[23] + t[25] + 6*t[26] + 
       8*t[27] - 8*t[28] + 3*t[29] - t[30] - 2*t[31] - t[33] + t[34]/2 + 
       8*t[35] - 15*t[36] - 6*t[37] - (15*t[38])/2 + 12*t[39] - (7*t[40])/2 + 
       (7*t[41])/4 - (7*t[42])/4 - (29*t[43])/4 - (39*t[44])/2 + 7*t[45] + 
       (7*t[46])/2 - (33*t[47])/2 + (53*t[48])/2 + (23*t[49])/4 - 
       (23*t[50])/2 - (355*t[51])/16 + 10*t[52] - (77*t[53])/4 - 
       (69*t[54])/4 + (27*t[59])/4 + (33*t[60])/4 + (209*t[61])/4 - 
       (361*t[62])/8 - (459*t[63])/8 + (239*t[64])/8 + (1327*t[65])/12 + 
       (971*t[66])/6 + 3*t[68] + 2*t[69] + 6*t[70] - 6*t[71] + 8*t[72] - 
       10*t[73] + 5*t[74] + 6*t[75] - 27*t[76] + 2*t[77] + 52*t[78] + 
       12*t[79] - 30*t[80] - 16*t[81] + 27*t[82] + 51*t[83] + (157*t[84])/4 + 
       (5*t[85])/4 + 40*t[86] + (219*t[87])/4 + (443*t[88])/8 + 68*t[89] - 
       10*t[95] - 10*t[96] - t[97]/2 - 180*t[98] + 272*t[99] - 90*t[100] - 
       6*t[101]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      (t[1]/2 + 7*t[2] + t[3] + (27*t[4])/2 + (53*t[5])/4 - 22*t[6] - 
       (19*t[7])/2 - (25*t[8])/2 - (5*t[9])/4 - (23*t[10])/2 + 43*t[11] - 
       (7*t[12])/4 + (419*t[13])/18 + (151*t[14])/6 + (7*t[15])/24 - 
       8*t[23] + 2*t[25] - 5*t[26] - 2*t[30] - 4*t[31] - 2*t[32] + t[33] + 
       t[34] + 4*t[37] + 3*t[38] - t[39] - 2*t[40] + (7*t[41])/2 - 
       (7*t[42])/2 - t[43] - 2*t[44] - t[45]/2 - (3*t[47])/2 + (7*t[48])/2 - 
       (13*t[49])/2 - (3*t[50])/2 + (27*t[51])/4 + (23*t[52])/2 - 3*t[53] - 
       (5*t[54])/2 - t[58] - 2*t[59] + 67*t[60] + 18*t[61] - 22*t[62] - 
       14*t[63] - 28*t[64] - (34*t[65])/3 - 62*t[66] + 4*t[72] + 5*t[76] + 
       5*t[77] - 3*t[78] + 4*t[80] + 10*t[81] - 3*t[82] + 14*t[84] + 
       4*t[85] - 12*t[86] - 38*t[87] - 19*t[88] - (23*t[89])/2 - 4*t[96] + 
       12*t[98] - 12*t[99] - 66*t[100] - 6*t[101]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((13*t[1])/4 - (39*t[2])/4 + (7*t[3])/4 + (91*t[4])/4 - (5*t[5])/8 + 
       (95*t[6])/4 - (19*t[7])/4 - t[8]/4 - (107*t[9])/8 + (133*t[10])/8 - 
       (9*t[11])/2 - (9*t[12])/4 - (51*t[13])/8 + (743*t[14])/48 - 
       (181*t[15])/48 + 8*t[23] - 2*t[30] + 2*t[32] - 3*t[33] - t[34]/2 + 
       (11*t[38])/2 + 6*t[39] - t[40] - (15*t[41])/4 + (15*t[42])/4 - t[43] - 
       2*t[44] + (7*t[45])/2 - (11*t[47])/2 - (27*t[48])/4 + (117*t[49])/8 - 
       (35*t[50])/4 - (185*t[51])/16 + (17*t[52])/4 - (61*t[53])/8 - 
       (11*t[54])/2 - (11*t[59])/4 + (15*t[60])/2 + (133*t[61])/2 - 
       (199*t[62])/8 + (127*t[63])/8 - (281*t[64])/4 - (191*t[65])/12 - 
       (4*t[66])/3 + 6*t[72] + 4*t[76] - 12*t[78] - 8*t[80] + 4*t[81] + 
       2*t[83] + (21*t[84])/4 - (13*t[85])/4 - 20*t[86] - (43*t[87])/4 - 
       (43*t[88])/8 - (13*t[89])/2 + 4*t[96] + (3*t[97])/2 + 12*t[98] - 
       12*t[99] - 66*t[100] - 6*t[101]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((-23*t[1])/4 + 
       (29*t[2])/2 + (215*t[3])/8 + (113*t[4])/8 + (601*t[5])/16 + 
       (13*t[6])/8 - (177*t[7])/8 + (19*t[8])/8 - (1095*t[9])/16 + 
       (39*t[10])/2 - 25*t[11] - (325*t[12])/16 - (71*t[13])/16 - 
       (805*t[14])/96 + (563*t[15])/288 + 2*t[16] - 2*t[18] + 12*t[20] + 
       6*t[21] - 2*t[22] - 6*t[23] + 6*t[24] - t[25]/2 + 2*t[26] + 
       (7*t[29])/2 + 3*t[30] + 6*t[31] - (3*t[32])/2 - 2*t[33] - 2*t[34] + 
       (9*t[36])/2 + t[37]/2 - 2*t[38] + 9*t[39] - 3*t[40] + 5*t[41] - 
       6*t[42] + (3*t[43])/8 + t[44]/4 - (15*t[45])/4 - (7*t[46])/4 - t[47] - 
       t[48]/4 + (21*t[49])/2 + t[50]/4 - (291*t[51])/32 + (43*t[52])/4 - 
       (7*t[53])/4 - (151*t[54])/8 - t[58] + (7*t[59])/4 - (187*t[60])/4 + 
       (39*t[61])/4 - (25*t[62])/16 - (19*t[63])/16 - (415*t[64])/8 + 
       (169*t[65])/24 + (425*t[66])/8 - 2*t[67] - (11*t[68])/2 + t[70] - 
       t[71] + 12*t[72] - (7*t[74])/2 + 2*t[76] + (11*t[77])/2 - 12*t[78] + 
       11*t[80] - (3*t[81])/2 + 14*t[82] - 4*t[83] - (5*t[84])/8 - 
       (69*t[85])/8 - 38*t[86] + (71*t[87])/8 - (161*t[88])/16 + 
       (23*t[89])/16 - 2*t[92] + 2*t[94] + 3*t[95] + 7*t[96] + (3*t[97])/2 + 
       48*t[98] - 54*t[99] - 51*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((31*t[1])/4 - (75*t[2])/4 - (235*t[3])/8 + (181*t[4])/8 - 
       (329*t[5])/16 - (59*t[6])/4 + (69*t[7])/8 - (63*t[8])/8 + 
       (851*t[9])/16 - 9*t[10] + (553*t[11])/8 + (57*t[12])/16 + 
       (2167*t[13])/144 + (3323*t[14])/96 - (815*t[15])/288 - (3*t[16])/2 + 
       2*t[18] - t[19] - 12*t[20] - 6*t[21] + 2*t[22] + 6*t[23] - 6*t[24] + 
       (3*t[25])/2 - 8*t[26] - t[27] - (7*t[29])/2 - 7*t[30] - 10*t[31] + 
       (3*t[32])/2 + t[34] - (5*t[36])/2 + (7*t[37])/2 + 6*t[38] - 6*t[39] + 
       5*t[40] - (9*t[41])/2 + (11*t[42])/2 - (19*t[43])/8 - (17*t[44])/4 + 
       (23*t[45])/4 + (11*t[46])/4 - 4*t[47] + t[48]/8 + (27*t[49])/4 - 
       (67*t[50])/8 + (29*t[51])/32 - (61*t[52])/8 - 12*t[53] + 
       (23*t[54])/4 + t[55]/2 - (9*t[59])/4 + (173*t[60])/2 + (119*t[61])/2 - 
       (523*t[62])/16 + (391*t[63])/16 - 16*t[64] - (1151*t[65])/24 - 
       (1103*t[66])/8 + 2*t[67] + (11*t[68])/2 - 3*t[70] + 3*t[71] - 
       2*t[72] + (5*t[74])/2 + 17*t[76] - (9*t[77])/2 - 15*t[78] - 9*t[80] + 
       16*t[81] - (37*t[82])/2 + 6*t[83] + (55*t[84])/8 + (53*t[85])/8 + 
       8*t[86] - (443*t[87])/8 - (355*t[88])/16 - (411*t[89])/16 + 2*t[92] - 
       2*t[94] - t[95] - t[96] + (5*t[97])/2 + 48*t[98] - 54*t[99] - 
       51*t[100] - 6*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-17*t[1])/2 - (5*t[2])/4 + (25*t[3])/2 + 
       (69*t[4])/2 + 30*t[5] + (45*t[6])/4 - 17*t[7] + (41*t[8])/2 - 
       (37*t[9])/2 - (187*t[10])/4 + 71*t[11] + (101*t[12])/2 + 
       (115*t[13])/2 - (1021*t[14])/24 + (491*t[15])/24 - t[16] + 4*t[19] + 
       4*t[20] + 4*t[21] - 4*t[22] - 4*t[23] + 3*t[25] + 3*t[26] - 4*t[27] + 
       6*t[28] + 6*t[29] - t[30] + 10*t[31] - t[33] - 8*t[35] - 6*t[36] - 
       t[37] - (15*t[38])/2 + 4*t[40] + 2*t[41] - 2*t[42] + 2*t[43] - 
       32*t[44] - t[45]/2 - (9*t[46])/2 - (3*t[47])/2 - t[48] - 
       (101*t[49])/4 + 13*t[50] + (79*t[51])/8 - 14*t[52] + (63*t[53])/4 - 
       (69*t[54])/2 + (19*t[59])/4 + (121*t[60])/2 + (47*t[61])/4 + 
       (599*t[62])/8 - (259*t[63])/8 - (457*t[64])/8 + (79*t[65])/3 + 
       (1319*t[66])/12 + t[68] + 4*t[70] - 4*t[71] - 6*t[72] - 18*t[73] + 
       4*t[74] + 46*t[75] - 4*t[77] - 7*t[78] + 10*t[80] - (27*t[81])/2 + 
       (27*t[82])/2 - 34*t[83] + 33*t[84] - (13*t[85])/4 - 76*t[86] - 
       (57*t[87])/4 + (95*t[88])/8 + (343*t[89])/8 - 8*t[95] - 6*t[96] + 
       t[97]/2 - 60*t[98] + 20*t[99] + 66*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      (8*t[1] - (23*t[2])/4 - (99*t[3])/4 + (139*t[4])/2 - (151*t[5])/4 - 
       7*t[6] - (3*t[7])/2 - t[8]/2 + (41*t[9])/4 + 68*t[10] + 70*t[11] - 
       8*t[12] + (6451*t[13])/72 + (23*t[14])/3 + (67*t[15])/8 + 6*t[19] - 
       4*t[20] - 4*t[21] + 2*t[22] + 4*t[23] + 5*t[25] - 11*t[26] - 2*t[27] - 
       14*t[28] + 8*t[30] + 6*t[31] - t[33] - t[34] + 12*t[35] - 6*t[36] - 
       14*t[37] + (11*t[38])/2 - 7*t[39] + (5*t[40])/2 - t[41]/2 + t[42]/2 - 
       3*t[43] + 4*t[44] - t[45] - (5*t[46])/2 + (7*t[47])/2 - (33*t[48])/2 - 
       (29*t[49])/2 + (21*t[50])/2 + (13*t[51])/2 - (21*t[52])/2 - 2*t[53] - 
       35*t[54] - (3*t[59])/4 + (235*t[60])/2 + (215*t[61])/4 - 
       (241*t[62])/8 - (587*t[63])/8 - (985*t[64])/8 + (211*t[65])/6 - 
       (1073*t[66])/12 - 4*t[69] + 4*t[70] - 4*t[71] + 16*t[72] - 16*t[73] + 
       6*t[74] + 30*t[75] - 5*t[76] + 4*t[77] + 24*t[78] - 12*t[79] - 
       6*t[80] + (15*t[81])/2 - (17*t[82])/2 + 10*t[83] + (85*t[84])/2 + 
       (25*t[85])/4 - 37*t[86] + (25*t[87])/4 + (185*t[88])/8 + 
       (395*t[89])/8 + t[90] + 2*t[93] - 8*t[95] - 10*t[96] + (3*t[97])/2 - 
       60*t[98] + 20*t[99] + 66*t[100] - 6*t[101]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-155*t[1])/18 - (857*t[2])/72 + (3497*t[3])/72 + (2395*t[4])/72 + 
       (1421*t[5])/72 - (547*t[6])/16 + (191*t[7])/72 - (5387*t[8])/72 - 
       (155*t[9])/72 + (43*t[10])/144 + (1081*t[11])/144 - (13*t[12])/144 + 
       (49727*t[13])/1296 - (52591*t[14])/864 - (7093*t[15])/432 + t[16]/2 + 
       2*t[18] + 2*t[19] - t[20] + 3*t[22] + 3*t[24] + (19*t[25])/6 + 
       (43*t[26])/9 + (41*t[27])/9 - (5*t[28])/2 + (7*t[29])/2 - 
       (2*t[30])/3 + (4*t[31])/9 - 9*t[32] - 4*t[33] + (70*t[34])/9 + 
       5*t[35] - (9*t[36])/2 - (97*t[37])/18 - (79*t[38])/9 + (2*t[39])/3 + 
       (49*t[40])/18 - (43*t[41])/18 + (61*t[42])/18 - (113*t[43])/24 + 
       (3*t[44])/4 - (317*t[45])/36 - (3*t[46])/2 + (371*t[47])/18 - 
       (433*t[48])/16 - (2869*t[49])/144 - (337*t[50])/144 - 
       (575*t[51])/288 - (1439*t[52])/144 - (409*t[53])/144 - 
       (3197*t[54])/48 - t[55] + (11*t[58])/18 + (65*t[59])/36 + 
       (841*t[60])/36 - (2561*t[61])/18 + (1079*t[62])/72 - 
       (12263*t[63])/72 - (103*t[64])/6 + (3323*t[65])/24 + 
       (15737*t[66])/216 - t[67] - (5*t[68])/2 - (5*t[69])/3 + (5*t[70])/9 - 
       (5*t[71])/9 - 8*t[72] + (23*t[73])/6 - 2*t[74] - (23*t[75])/6 + 
       (257*t[76])/18 + (85*t[77])/18 - (221*t[78])/18 - 2*t[79] + 
       (8*t[80])/3 + (5*t[81])/9 + (131*t[82])/18 - (70*t[83])/9 + 
       (183*t[84])/8 + (3923*t[85])/72 + (88*t[86])/3 + (751*t[87])/36 + 
       (215*t[88])/8 + (3773*t[89])/48 - t[92] + t[94] - (26*t[95])/3 - 
       (104*t[96])/9 - (3*t[97])/2 + (250*t[98])/3 - 150*t[99] + 204*t[100] - 
       6*t[101]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((64*t[1])/9 - (257*t[2])/36 + (2453*t[3])/72 + 
       (2095*t[4])/144 - (821*t[5])/48 - (665*t[6])/72 + (353*t[7])/24 - 
       (279*t[8])/8 + (131*t[9])/16 - (10039*t[10])/288 - (13*t[11])/9 + 
       (5051*t[12])/288 + (10049*t[13])/216 - (88307*t[14])/1728 - 
       (12845*t[15])/432 + 4*t[18] + t[20] + 6*t[21] - t[22] - 6*t[23] + 
       3*t[24] + (23*t[25])/18 + (13*t[26])/9 + (62*t[27])/9 + (3*t[29])/2 - 
       (7*t[30])/6 - (7*t[31])/18 - (9*t[32])/2 - t[33] + (97*t[34])/18 - 
       (31*t[36])/3 - (59*t[37])/18 + t[38]/9 - (38*t[39])/9 + (28*t[40])/9 + 
       (29*t[41])/36 + (43*t[42])/36 - (155*t[43])/24 + (5*t[44])/4 - 
       (397*t[45])/36 - (17*t[46])/36 + (487*t[47])/18 - 6*t[48] - 
       (893*t[49])/32 - (16*t[50])/3 + (2627*t[51])/576 - (35*t[52])/6 - 
       (5*t[53])/96 - (1573*t[54])/48 + (23*t[58])/9 - (50*t[59])/9 + 
       (3863*t[60])/144 - (17027*t[61])/144 + (9629*t[62])/288 - 
       (51253*t[63])/288 + (15755*t[64])/288 + (69517*t[65])/432 + 
       (13763*t[66])/432 - 2*t[68] - 3*t[69] - (14*t[70])/9 + (14*t[71])/9 - 
       (29*t[72])/9 + (19*t[73])/3 + (4*t[74])/3 - (19*t[75])/3 + 
       (101*t[76])/18 - (17*t[77])/18 - (128*t[78])/9 + 8*t[79] + 
       (88*t[80])/9 - (55*t[81])/12 - (161*t[82])/36 - (65*t[83])/9 + 
       (3181*t[84])/144 + (6451*t[85])/144 + (154*t[86])/3 + 
       (7631*t[87])/144 + (1751*t[88])/32 + (32839*t[89])/288 + t[90]/2 + 
       t[92] - t[94] - (37*t[95])/3 - (142*t[96])/9 - 3*t[97] - 
       (10*t[98])/3 - 60*t[99] + 229*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-28*t[1])/3 - (265*t[2])/12 + (35*t[3])/6 + (649*t[4])/12 + 
       (2827*t[5])/48 - (1525*t[6])/24 - (877*t[7])/24 - (1225*t[8])/24 + 
       (65*t[9])/48 - (285*t[10])/8 + (319*t[11])/24 - (701*t[12])/16 + 
       (17183*t[13])/432 + (671*t[14])/24 - (3571*t[15])/96 - t[16] + 
       (14*t[17])/3 + (2*t[18])/3 - 2*t[19] + 23*t[20] + (20*t[21])/3 - 
       (58*t[22])/3 - (20*t[23])/3 + (22*t[24])/3 - (26*t[25])/3 + 14*t[26] - 
       (38*t[27])/3 + 8*t[28] + (3*t[29])/2 + 2*t[30] + (59*t[31])/3 + 
       (7*t[32])/3 + (31*t[33])/3 - 12*t[34] + 4*t[35] + (43*t[36])/3 + 
       (67*t[37])/3 - (7*t[38])/3 + (7*t[39])/3 + (101*t[40])/6 + 
       (5*t[41])/2 - (13*t[42])/6 + (67*t[43])/6 + (93*t[44])/4 + 
       (313*t[45])/12 - (35*t[46])/6 - (191*t[47])/6 - (13*t[48])/2 + 
       (863*t[49])/12 - (275*t[50])/6 - (883*t[51])/48 + (95*t[52])/6 - 
       (247*t[53])/12 + (19*t[54])/6 + t[55]/3 - (4*t[56])/3 + (2*t[57])/3 - 
       (11*t[58])/3 + (5*t[59])/2 + (1793*t[60])/12 + (979*t[61])/12 - 
       (511*t[62])/12 + (265*t[63])/6 - (775*t[64])/8 - (4283*t[65])/18 - 
       (6451*t[66])/18 - 8*t[68] - 10*t[69] - 4*t[70] + 4*t[71] - 6*t[72] - 
       8*t[73] - (35*t[74])/3 + 12*t[75] + (244*t[76])/3 - (8*t[77])/3 - 
       73*t[78] - 40*t[79] + 47*t[80] + 24*t[81] - (31*t[82])/3 - 
       (32*t[83])/3 - (199*t[84])/12 + (655*t[85])/12 - (565*t[86])/6 - 
       (2203*t[87])/12 - (1137*t[88])/8 + (7*t[89])/12 - t[91]/6 + t[92]/3 + 
       2*t[93] + 14*t[95] + (104*t[96])/3 + (29*t[97])/3 + 384*t[98] - 
       380*t[99] - 70*t[100] - 4*t[101]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-61*t[1])/6 - (28*t[2])/3 + (137*t[3])/4 - 
       (565*t[4])/8 - (319*t[5])/8 + (313*t[6])/16 - (1037*t[7])/24 + 
       (533*t[8])/24 - (547*t[9])/8 - (401*t[10])/48 - (8117*t[11])/48 - 
       (2629*t[12])/48 - (55045*t[13])/432 - (24749*t[14])/288 + 
       (469*t[15])/216 - (5*t[16])/3 + (11*t[17])/6 - 2*t[19] - 2*t[20] - 
       5*t[21] + 2*t[22] + 5*t[23] + (10*t[24])/3 - 16*t[25] + 23*t[26] - 
       (19*t[27])/3 - 12*t[28] + (8*t[29])/3 - (16*t[30])/3 + (2*t[31])/3 - 
       (7*t[32])/2 + (25*t[33])/3 - (59*t[34])/3 + 18*t[35] - 6*t[36] - 
       (34*t[37])/3 - (47*t[38])/3 - (32*t[39])/3 + 5*t[40] - (10*t[41])/3 + 
       (10*t[42])/3 + (5*t[43])/8 + (34*t[44])/3 + (545*t[45])/12 - 
       (37*t[46])/6 - (313*t[47])/6 + (477*t[48])/16 + (2051*t[49])/48 + 
       (1819*t[50])/48 - (1789*t[51])/96 - (409*t[52])/16 - (739*t[53])/48 + 
       (329*t[54])/16 - t[55]/3 - t[56] + 2*t[57] + (7*t[58])/3 + 
       (7*t[59])/2 - (970*t[60])/3 - (619*t[61])/4 + (5645*t[62])/24 + 
       (3511*t[63])/24 + (71*t[64])/8 + (931*t[65])/6 + (2551*t[66])/9 - 
       t[67] - 7*t[69] - 10*t[70] + 10*t[71] + (11*t[72])/3 + 10*t[73] - 
       7*t[74] - 22*t[75] - 15*t[76] - 15*t[77] + (41*t[78])/3 + 4*t[79] - 
       (268*t[80])/3 - (137*t[81])/6 + (11*t[82])/2 + (151*t[83])/6 - 
       (95*t[84])/6 + (71*t[85])/12 - (91*t[86])/3 + (1795*t[87])/12 + 
       (803*t[88])/24 + 39*t[89] + t[94] + (22*t[95])/3 - (56*t[97])/3 - 
       136*t[98] + 160*t[99] + 80*t[100] - 4*t[101]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-7*t[1])/2 - 3*t[2] - (51*t[3])/16 + (655*t[4])/24 - (1873*t[5])/96 - 
       (121*t[6])/16 - (61*t[7])/24 + (601*t[8])/48 + (2035*t[9])/96 - 
       (2135*t[10])/48 + (1393*t[11])/48 + (1385*t[12])/96 + 
       (3229*t[13])/288 + (763*t[14])/72 - (3413*t[15])/576 - t[17]/2 + 
       10*t[20] - 2*t[22] - (5*t[25])/4 + 2*t[26] + t[27]/4 - 4*t[28] - 
       (11*t[29])/2 - 9*t[30] - 5*t[31] - (3*t[32])/2 + t[33]/2 + 6*t[34] + 
       6*t[35] - (5*t[36])/2 + (9*t[37])/2 - (7*t[38])/2 - 2*t[39] + 
       t[41]/4 - t[42]/4 - (69*t[43])/16 - (9*t[44])/4 - (27*t[45])/2 + 
       (7*t[46])/4 + (37*t[47])/4 - (7*t[48])/4 + (395*t[49])/24 - 6*t[50] - 
       (155*t[51])/32 + (19*t[52])/2 - (167*t[53])/24 - (13*t[54])/8 - 
       2*t[57] + t[58]/4 + t[59]/2 + (353*t[60])/12 + t[61]/2 + 
       (365*t[62])/12 + (541*t[63])/24 - (149*t[64])/6 - (2947*t[65])/72 - 
       (4309*t[66])/72 + t[68] - t[69] - 3*t[70] + 3*t[71] + 6*t[72] - 
       8*t[73] - t[74]/2 + 16*t[75] + (41*t[76])/2 - (59*t[78])/2 - 2*t[79] + 
       (31*t[80])/2 + (65*t[81])/4 + (3*t[82])/2 + t[83]/6 - (11*t[84])/2 + 
       (81*t[85])/8 - (377*t[86])/12 - (1315*t[87])/24 - (1963*t[88])/48 - 
       (127*t[89])/8 - t[92]/4 + t[93] + 5*t[95] + 6*t[96] + 2*t[97] + 
       120*t[98] - 90*t[99] - 114*t[100] + 3*t[101]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((67*t[1])/8 + 4*t[2] - (73*t[3])/4 + (71*t[4])/4 - (303*t[5])/16 + 
       (547*t[6])/32 + 16*t[7] + (231*t[8])/8 + 59*t[9] + (729*t[10])/16 + 
       (409*t[11])/32 - (155*t[12])/8 - (85*t[13])/4 + (7223*t[14])/96 - 
       (785*t[15])/144 + (3*t[17])/8 - 3*t[19] + 2*t[20] - t[21] - 6*t[22] + 
       t[23] - t[24]/2 - 8*t[25] + t[26] - t[27] + 8*t[28] + (5*t[29])/4 - 
       3*t[30] + t[32]/8 + t[33]/4 + (21*t[34])/4 - 8*t[35] + (9*t[36])/2 + 
       (9*t[37])/2 + (23*t[38])/4 + (45*t[39])/4 - (41*t[40])/4 - 
       (3*t[41])/8 + (3*t[42])/8 - t[43]/8 - (91*t[44])/8 - (9*t[45])/2 - 
       4*t[46] - (5*t[47])/2 + (157*t[48])/32 + (435*t[49])/16 - 
       (103*t[50])/32 - (135*t[51])/16 + (223*t[52])/32 - (171*t[53])/16 + 
       (87*t[54])/32 - t[56] - 2*t[57] - t[58]/2 + (11*t[59])/24 + 
       (841*t[60])/16 + (1539*t[61])/16 - (117*t[62])/32 + (3447*t[63])/32 - 
       (4787*t[64])/32 - (1537*t[65])/48 - (1407*t[66])/16 - (3*t[68])/4 + 
       3*t[69] - 4*t[70] + 4*t[71] + 6*t[72] - 4*t[73] - (7*t[74])/2 + 
       20*t[75] + (77*t[76])/4 + 4*t[77] - (75*t[78])/4 - 15*t[79] + 
       2*t[80] + (39*t[81])/2 - (25*t[82])/4 - 17*t[83] + (47*t[84])/16 + 
       (189*t[85])/16 - (135*t[86])/2 - (1319*t[87])/16 - (1695*t[88])/32 - 
       (533*t[89])/32 + t[93] + 3*t[95] + 9*t[96] + (11*t[97])/4 + 
       120*t[98] - 90*t[99] - 109*t[100] + 3*t[101]) + 
     D31[w, u, v]*(t[1]/2 - (3*t[2])/4 - (3*t[3])/4 + (27*t[4])/4 - 
       (3*t[5])/4 - (19*t[6])/8 - t[7]/2 + (3*t[8])/2 - (3*t[9])/4 + 
       (19*t[10])/8 + (59*t[11])/8 - (15*t[12])/8 + (97*t[13])/36 + 
       (127*t[14])/48 - (5*t[15])/6 + t[33] + t[38]/2 - t[39] + t[40]/2 + 
       t[45]/2 - t[47]/2 + (3*t[48])/8 + (13*t[49])/8 - (5*t[50])/8 - 
       (5*t[51])/16 - (3*t[52])/8 - (21*t[53])/8 - (25*t[54])/8 - t[59]/4 + 
       9*t[60] + (15*t[61])/2 - (57*t[62])/8 - (47*t[63])/8 - (15*t[64])/4 - 
       (41*t[65])/12 - (83*t[66])/6 - 4*t[80] + t[81] - t[82] - (3*t[84])/4 - 
       (3*t[85])/4 - (13*t[87])/4 - (13*t[88])/8 - t[89]/2 + t[97]/2 + 
       6*t[101]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-433*t[1])/72 - (191*t[2])/24 - (307*t[3])/36 + (6053*t[4])/144 - 
       (421*t[5])/72 + (695*t[6])/32 + (165*t[7])/16 + (7859*t[8])/144 + 
       (5*t[9])/3 + (5359*t[10])/96 + (9299*t[11])/288 + (3253*t[12])/288 + 
       (9017*t[13])/432 + (65221*t[14])/1728 + (1189*t[15])/864 - t[16]/4 - 
       t[20] - t[21] + t[22] + t[23] + (227*t[25])/36 + (31*t[26])/12 - 
       (7*t[27])/6 - 4*t[28] - 5*t[30] - (13*t[31])/3 + t[32]/2 + t[33]/2 - 
       (11*t[34])/12 + 6*t[35] - (21*t[36])/2 - (37*t[37])/6 - 
       (133*t[38])/18 + (25*t[39])/6 - (7*t[40])/3 - t[41]/24 + t[42]/24 - 
       (3*t[43])/2 - (3*t[44])/4 + (13*t[45])/3 + (19*t[46])/12 - 
       (43*t[47])/6 + (817*t[48])/96 - (587*t[49])/288 - (3277*t[50])/288 - 
       (6827*t[51])/576 + (2341*t[52])/288 - (5029*t[53])/288 - 
       (7745*t[54])/288 + (4*t[58])/3 + (91*t[59])/24 + (196*t[60])/3 + 
       (14819*t[61])/144 - (2261*t[62])/24 - (1789*t[63])/18 + 
       (5971*t[64])/288 + (5045*t[65])/144 - (333*t[66])/16 + t[68]/4 + 
       t[69]/3 + (15*t[70])/2 - (15*t[71])/2 + (11*t[72])/3 - (17*t[73])/6 + 
       (17*t[74])/4 + (11*t[75])/2 - (89*t[76])/6 + (28*t[77])/3 + 
       (71*t[78])/3 + (25*t[79])/4 - (76*t[80])/3 - (71*t[81])/24 - 
       (29*t[82])/8 + (253*t[83])/36 + (3457*t[84])/144 - (25*t[85])/36 + 
       (1241*t[86])/36 + (155*t[87])/8 + (1993*t[88])/48 + (3499*t[89])/96 - 
       12*t[95] - (49*t[96])/6 + (7*t[97])/2 - 122*t[98] + 136*t[99] - 
       (257*t[100])/6 + 6*t[101]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*(-t[1]/12 - (83*t[2])/24 + (25*t[3])/3 + 
       (5603*t[4])/144 + (1825*t[5])/144 + (3*t[6])/32 - (889*t[7])/72 - 
       (269*t[8])/9 - (1609*t[9])/144 - (4789*t[10])/288 + (9779*t[11])/288 + 
       (1499*t[12])/288 + (17515*t[13])/432 - (25669*t[14])/1728 + 
       (71*t[15])/36 - t[19] + t[20] + t[21] - t[22]/2 - t[23] + 
       (17*t[25])/4 - (43*t[26])/6 + (19*t[27])/6 + 5*t[28] - 2*t[29] - 
       t[30]/2 - (14*t[31])/3 - t[32]/2 + (3*t[33])/2 + (7*t[34])/3 - 
       6*t[35] - 4*t[36] + (7*t[37])/3 + (23*t[38])/12 - (3*t[39])/2 + 
       (71*t[40])/12 - (11*t[41])/12 + (11*t[42])/12 + (11*t[43])/8 - 
       6*t[44] + (7*t[45])/3 - (21*t[46])/8 - (31*t[47])/6 - (21*t[48])/32 - 
       (7927*t[49])/288 + (193*t[50])/96 + (1147*t[51])/64 - (817*t[52])/96 + 
       (175*t[53])/288 - (721*t[54])/32 + (7*t[58])/12 - (23*t[59])/24 + 
       (3599*t[60])/36 + (781*t[61])/48 - (251*t[62])/72 - (2983*t[63])/36 - 
       (7247*t[64])/288 + (10759*t[65])/432 + (937*t[66])/432 + (3*t[68])/4 + 
       (11*t[69])/6 + (20*t[70])/3 - (20*t[71])/3 + 11*t[72] - 2*t[73] + 
       t[74] + (31*t[75])/3 - (41*t[76])/3 + (19*t[77])/6 + (311*t[78])/12 + 
       t[79] - (17*t[80])/2 - (137*t[81])/24 - (7*t[82])/24 - (19*t[83])/36 + 
       (449*t[84])/16 + (85*t[85])/12 - (193*t[86])/18 - (25*t[87])/18 + 
       (278*t[88])/9 + (379*t[89])/96 + t[93] - 12*t[95] - (44*t[96])/3 + 
       t[97]/4 - 122*t[98] + 136*t[99] - (116*t[100])/3 + 6*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-65*t[1])/6 - (65*t[2])/6 - (163*t[3])/24 - (353*t[4])/24 + 
       (2167*t[5])/48 - (1439*t[6])/16 + (473*t[7])/24 - (1895*t[8])/24 - 
       (397*t[9])/48 + (1387*t[10])/48 + (157*t[11])/48 - (815*t[12])/24 + 
       (1067*t[13])/432 + (25415*t[14])/288 + (1271*t[15])/96 - t[16] + 
       10*t[25] + (34*t[26])/3 - (13*t[27])/3 - 8*t[28] - 5*t[29] - t[30] + 
       (10*t[31])/3 - 2*t[32] + 4*t[33] - (8*t[34])/3 + 10*t[35] - 7*t[36] + 
       (13*t[37])/3 - (22*t[38])/3 + 7*t[39] + (109*t[40])/6 + (4*t[41])/3 - 
       (4*t[42])/3 + (9*t[43])/4 + (71*t[44])/2 + (163*t[45])/12 - 
       (3*t[46])/2 - (169*t[47])/6 - (219*t[48])/16 + (3731*t[49])/48 - 
       (1501*t[50])/48 - (3311*t[51])/96 + (589*t[52])/48 - (1891*t[53])/48 + 
       (285*t[54])/16 - (17*t[58])/3 + (20*t[59])/3 + (427*t[60])/12 + 
       (362*t[61])/3 - (971*t[62])/12 + (707*t[63])/3 - (121*t[64])/2 - 
       (1763*t[65])/12 - (7019*t[66])/36 - t[68] - 14*t[69] - (4*t[70])/3 + 
       (4*t[71])/3 - 14*t[72] - 4*t[73] + 17*t[74] - 4*t[75] + 
       (238*t[76])/3 - (22*t[77])/3 - (217*t[78])/3 - 28*t[79] + 25*t[80] + 
       (157*t[81])/6 + (7*t[82])/3 + (8*t[83])/3 - 41*t[84] + 
       (217*t[85])/12 - (43*t[86])/2 - (1805*t[87])/12 - (1031*t[88])/8 - 
       (643*t[89])/8 - t[91]/6 + 18*t[95] + (88*t[96])/3 + 14*t[97] + 
       376*t[98] - 312*t[99] - 280*t[100] + 12*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-15*t[1])/2 + (51*t[2])/4 - (79*t[3])/8 - 138*t[4] - (717*t[5])/16 + 
       (1579*t[6])/16 + (357*t[7])/8 + (493*t[8])/8 + (659*t[9])/16 - 
       (361*t[10])/4 - (2031*t[11])/16 + (175*t[12])/16 - (21463*t[13])/144 + 
       (335*t[14])/24 + (2909*t[15])/288 - t[16]/2 - 22*t[25] + 25*t[26] - 
       16*t[27] + 6*t[28] + 5*t[29] - 3*t[30] + 2*t[31] + 2*t[32] + 2*t[35] + 
       3*t[36] - 16*t[37] - 15*t[38] - (7*t[39])/2 - (19*t[40])/2 + 
       (35*t[43])/4 + (25*t[44])/2 - (3*t[45])/4 + t[46] + (9*t[47])/2 + 
       (479*t[48])/16 + (195*t[49])/8 + (459*t[50])/16 - 11*t[51] - 
       (59*t[52])/16 + (29*t[53])/8 + (977*t[54])/16 + 3*t[58] + 8*t[59] - 
       (1511*t[60])/8 + (343*t[61])/8 + (1393*t[62])/16 + (2915*t[63])/16 + 
       (423*t[64])/16 + (707*t[65])/8 + (6023*t[66])/24 + 12*t[68] + 
       4*t[69] - 6*t[70] + 6*t[71] - 22*t[72] + 16*t[73] - 10*t[74] - 
       20*t[75] - (93*t[76])/2 - 8*t[77] + (103*t[78])/2 + 4*t[79] - 
       19*t[80] - (25*t[81])/2 - (13*t[82])/2 - 3*t[83] - (221*t[84])/8 - 
       (163*t[85])/8 + (125*t[86])/2 + (691*t[87])/8 + (99*t[88])/16 - 
       (473*t[89])/16 + t[91]/6 - 2*t[93] + 8*t[95] + 2*t[96] - 12*t[97] - 
       144*t[98] + 228*t[99] - 130*t[100] + 12*t[101]) + 
     D32[w, u, v]*(-t[3] + (5*t[4])/2 - (5*t[5])/2 - t[6]/2 + t[9]/2 + 
       (11*t[10])/4 + t[11]/2 + (5*t[12])/4 - (5*t[13])/18 + (15*t[14])/8 - 
       (2*t[15])/3 + 2*t[33] - 2*t[39] + t[45] - t[47] + t[48]/2 + 
       (5*t[49])/4 + t[50]/2 + (3*t[51])/8 + (3*t[52])/2 - (5*t[53])/4 - 
       t[54] - t[59]/2 + 5*t[60] + (7*t[61])/2 - (11*t[62])/2 - (9*t[63])/2 + 
       3*t[64] - (17*t[65])/3 - (29*t[66])/3 - 4*t[76] + 4*t[78] - 8*t[80] - 
       5*t[84] - 3*t[85] + t[87] + t[88]/2 - 2*t[89] - 24*t[98] + 24*t[99] + 
       12*t[100] + 12*t[101]) + D34[w, u, v]*(t[1] - (3*t[2])/2 - t[3]/2 + 
       5*t[4] - (13*t[6])/4 - (5*t[7])/2 + t[8]/2 - 4*t[9] + (25*t[10])/4 + 
       (29*t[11])/4 - (3*t[12])/4 + (32*t[13])/9 + (41*t[14])/24 - 
       (5*t[15])/12 + 2*t[33] + t[38] - 2*t[39] + t[40] + t[45] - t[47] - 
       t[48]/4 - t[49]/4 - (5*t[50])/4 + t[51]/8 + t[52]/4 - (7*t[53])/4 - 
       (11*t[54])/4 - t[59]/2 + 9*t[60] + 12*t[61] - (51*t[62])/4 - 
       (41*t[63])/4 + 3*t[64] - t[65] - (31*t[66])/2 - 4*t[76] + 4*t[78] - 
       8*t[80] - 4*t[84] - 5*t[85] + 2*t[87] + t[88] - t[89] + t[97] - 
       24*t[98] + 24*t[99] + 12*t[100] + 12*t[101]) + 
     D33[w, u, v]*((-3*t[2])/2 - t[3] + (65*t[4])/4 - (5*t[5])/8 - t[6]/8 - 
       (5*t[7])/2 + (5*t[8])/2 - (43*t[9])/8 + (15*t[10])/2 + (119*t[11])/8 + 
       (9*t[12])/8 + (67*t[13])/6 + (203*t[14])/48 - (41*t[15])/48 + 
       2*t[25] - t[26] + 2*t[33] - t[36] - t[37] - 2*t[39] + t[40] + t[45] - 
       t[47] + (3*t[48])/8 - (17*t[49])/4 - (5*t[50])/8 + (11*t[51])/16 - 
       (3*t[52])/8 - (5*t[53])/4 - (57*t[54])/8 + (111*t[60])/4 + 22*t[61] - 
       (71*t[62])/4 - (101*t[63])/4 - (59*t[64])/4 + (71*t[65])/12 - 
       (155*t[66])/12 + 2*t[70] - 2*t[71] + t[74] - 8*t[76] + 9*t[78] - 
       10*t[80] - (3*t[81])/2 + t[82]/2 + (23*t[84])/4 - (7*t[85])/2 - 
       2*t[87] + 8*t[88] + (43*t[89])/8 - 2*t[95] - 2*t[96] + t[97] - 
       48*t[98] + 48*t[99] + 12*t[100] + 12*t[101]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-91*t[1])/4 + (71*t[2])/8 - (247*t[3])/4 - (805*t[4])/8 + 
       (475*t[5])/16 + (427*t[6])/16 + (33*t[7])/4 + (1001*t[8])/8 - 
       (315*t[9])/16 + (845*t[10])/8 - (1269*t[11])/16 - (275*t[12])/16 - 
       (1823*t[13])/12 + (13813*t[14])/96 + (17297*t[15])/288 + t[16]/2 - 
       4*t[18] - t[19]/2 - 8*t[21] + 8*t[23] - (13*t[25])/2 + 20*t[26] - 
       14*t[27] - 6*t[28] - 7*t[29] - 3*t[30] + 6*t[31] + 11*t[32] + 
       3*t[33] - 8*t[34] + 12*t[35] + (47*t[36])/2 - 2*t[37] - (35*t[38])/2 + 
       (57*t[39])/4 - (33*t[40])/2 - 2*t[41] + (25*t[43])/4 + (21*t[44])/2 + 
       13*t[45] + 6*t[46] - (61*t[47])/2 + (489*t[48])/16 + (507*t[49])/8 + 
       t[50]/16 - (875*t[51])/32 + (423*t[52])/16 + (7*t[53])/8 + 
       (1785*t[54])/16 + t[55]/4 - (7*t[58])/2 + (35*t[59])/2 - 
       (1637*t[60])/8 + (1945*t[61])/8 - (1181*t[62])/8 + (2663*t[63])/8 - 
       (379*t[64])/16 - (1543*t[65])/8 + (333*t[66])/8 - t[67]/4 + 3*t[68] + 
       4*t[69] - 8*t[70] + 8*t[71] - 6*t[72] - 12*t[73] - 11*t[74] + 
       12*t[75] - (11*t[76])/2 + (19*t[77])/2 + (37*t[78])/2 - 24*t[79] - 
       16*t[80] - (41*t[81])/4 + (19*t[82])/4 + 17*t[83] - (637*t[84])/8 - 
       (459*t[85])/4 - 42*t[86] - 30*t[87] - (319*t[88])/4 - (1273*t[89])/8 - 
       t[90]/2 - 2*t[92] + 2*t[94] + 29*t[95] + 37*t[96] + 5*t[97] + 
       48*t[98] + 36*t[99] - 213*t[100] + 18*t[101]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((55*t[1])/4 + (37*t[2])/2 - (239*t[3])/8 - (897*t[4])/8 - 
       (41*t[5])/4 - (81*t[6])/4 - (31*t[7])/8 - (293*t[8])/4 - (37*t[9])/4 - 
       (57*t[10])/4 - (619*t[11])/8 + (165*t[12])/8 - (13063*t[13])/144 + 
       (1225*t[14])/32 + (1501*t[15])/144 - t[16] - 4*t[18] - 4*t[19] - 
       4*t[22] - 8*t[24] - 9*t[25] - (39*t[26])/4 - (9*t[27])/2 + 6*t[28] - 
       7*t[29] + 9*t[30] + 3*t[31] + 7*t[32] + 7*t[33] - 11*t[34] - 
       12*t[35] + (29*t[36])/2 + 23*t[37] + 20*t[38] - 9*t[39] + 
       (9*t[40])/2 + (11*t[41])/2 - (15*t[42])/2 + (49*t[43])/4 + 
       (3*t[44])/2 + 9*t[45] + (3*t[46])/4 - (45*t[47])/2 - (73*t[48])/8 + 
       (265*t[49])/8 + (19*t[50])/8 + (475*t[51])/32 + (57*t[52])/8 + 
       (101*t[53])/8 + (523*t[54])/4 + 2*t[55] - (15*t[58])/4 - 
       (17*t[59])/2 - (505*t[60])/4 + (325*t[61])/4 + (639*t[62])/16 + 
       (7465*t[63])/16 + (519*t[64])/4 - (3611*t[65])/12 - (349*t[66])/4 + 
       2*t[67] + 5*t[68] - 5*t[70] + 5*t[71] + 7*t[72] - 12*t[73] - t[74]/2 + 
       12*t[75] - (17*t[76])/4 - (27*t[77])/2 + (29*t[78])/4 + 21*t[80] + 
       (23*t[81])/4 - 2*t[82] + 16*t[83] - (481*t[84])/4 - (669*t[85])/8 - 
       54*t[86] - (613*t[87])/8 - (1681*t[88])/16 - (3549*t[89])/16 + 
       2*t[92] - 2*t[94] + 29*t[95] + 19*t[96] + 8*t[97] + 48*t[98] + 
       36*t[99] - 213*t[100] + 18*t[101]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((-130*t[1])/3 + (104*t[2])/3 - 
       (1937*t[3])/12 - (4619*t[4])/24 + (721*t[5])/12 + (221*t[6])/2 - 
       (107*t[7])/12 + (1957*t[8])/6 - (160*t[9])/3 + (11827*t[10])/48 - 
       (578*t[11])/3 - (1753*t[12])/48 - (8050*t[13])/27 + 
       (86117*t[14])/288 + (2189*t[15])/16 + 4*t[16] - 12*t[18] + 2*t[19] - 
       16*t[21] + 16*t[23] - 11*t[25] + (103*t[26])/3 - (97*t[27])/3 - 
       10*t[28] - 13*t[29] - 4*t[30] + (46*t[31])/3 + 33*t[32] + 10*t[33] - 
       (62*t[34])/3 + 20*t[35] + 48*t[36] - (2*t[37])/3 - (97*t[38])/3 + 
       27*t[39] - (118*t[40])/3 - (11*t[41])/3 - (7*t[42])/3 + (85*t[43])/4 + 
       (41*t[44])/2 + (155*t[45])/6 + 6*t[46] - (194*t[47])/3 + 
       (313*t[48])/4 + (5429*t[49])/48 + (143*t[50])/12 - (4301*t[51])/96 + 
       (889*t[52])/12 + (515*t[53])/48 + (1861*t[54])/8 - (20*t[58])/3 + 
       (101*t[59])/3 - (7393*t[60])/24 + (12445*t[61])/24 - 
       (15203*t[62])/48 + (27251*t[63])/48 - (1445*t[64])/16 - 
       (9583*t[65])/24 + (10235*t[66])/72 - 4*t[67] - (9*t[68])/2 + 4*t[69] - 
       (16*t[70])/3 + (16*t[71])/3 - 12*t[72] - 20*t[73] - 20*t[74] + 
       20*t[75] - (179*t[76])/3 + (68*t[77])/3 + (655*t[78])/6 - 40*t[79] - 
       55*t[80] - (161*t[81])/6 + (65*t[82])/6 + (80*t[83])/3 - 
       (959*t[84])/8 - (5785*t[85])/24 - 126*t[86] - (955*t[87])/24 - 
       (2041*t[88])/16 - (4981*t[89])/16 - (5*t[90])/2 - 6*t[92] + 6*t[94] + 
       48*t[95] + (184*t[96])/3 + 8*t[97] - 200*t[98] + 432*t[99] - 
       474*t[100] + 60*t[101]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 
       1 - v]*((83*t[1])/3 + (581*t[2])/12 - (1165*t[3])/12 - 
       (4883*t[4])/24 - (307*t[5])/8 + (317*t[6])/24 - (193*t[7])/4 - 
       (381*t[8])/4 - (279*t[9])/8 - (715*t[10])/48 - (3883*t[11])/24 + 
       (2699*t[12])/48 - (1751*t[13])/9 + (27889*t[14])/288 + 
       (913*t[15])/36 - (7*t[16])/2 - 12*t[18] - 4*t[19] - 8*t[21] - 
       12*t[22] + 8*t[23] - 24*t[24] - (49*t[25])/3 - (64*t[26])/3 - 
       (35*t[27])/3 + 10*t[28] - 13*t[29] + 16*t[30] + (26*t[31])/3 + 
       21*t[32] + 22*t[33] - (86*t[34])/3 - 20*t[35] + 23*t[36] + 
       (130*t[37])/3 + (125*t[38])/3 - (185*t[39])/6 + (20*t[40])/3 + 
       (31*t[41])/3 - (49*t[42])/3 + (125*t[43])/4 - (7*t[44])/2 + 
       (179*t[45])/6 + (8*t[46])/3 - (218*t[47])/3 - (37*t[48])/8 + 
       (977*t[49])/16 + (11*t[50])/8 + (2843*t[51])/96 + (261*t[52])/8 + 
       (391*t[53])/16 + 285*t[54] + 6*t[55] - (23*t[58])/3 - (46*t[59])/3 - 
       (4567*t[60])/24 + (5371*t[61])/24 + (4991*t[62])/48 + 
       (46625*t[63])/48 + (7787*t[64])/48 - (47801*t[65])/72 - 
       (6631*t[66])/72 + 6*t[67] + 16*t[68] + (8*t[70])/3 - (8*t[71])/3 + 
       (56*t[72])/3 - 20*t[73] + 10*t[74] + 20*t[75] - (329*t[76])/6 - 
       (80*t[77])/3 + (469*t[78])/6 - (94*t[80])/3 + (21*t[81])/2 - 
       (11*t[82])/6 + (80*t[83])/3 - (5225*t[84])/24 - (4475*t[85])/24 - 
       150*t[86] - (3289*t[87])/24 - (2915*t[88])/16 - (21923*t[89])/48 + 
       6*t[92] - 6*t[94] + 48*t[95] + (91*t[96])/3 + 16*t[97] - 200*t[98] + 
       432*t[99] - 474*t[100] + 60*t[101]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*((19*t[1])/9 + (37*t[2])/12 - 
       (107*t[3])/12 - (193*t[4])/12 + (9*t[5])/8 - (299*t[6])/24 - 
       (73*t[7])/2 + (17*t[8])/4 - (291*t[9])/8 + (1117*t[10])/24 - 
       (571*t[11])/24 - (73*t[12])/6 + (527*t[13])/72 + (4147*t[14])/144 + 
       (2273*t[15])/144 - t[16]/3 + (10*t[25])/3 - 7*t[26] + t[27] + 
       4*t[28] - t[29] + t[30] + 2*t[31] - (4*t[32])/3 + (4*t[33])/3 + 
       (2*t[34])/3 - 3*t[35] - (5*t[36])/3 - 5*t[37] + (8*t[38])/3 + 
       (8*t[39])/3 + (8*t[40])/3 - t[41]/3 + t[42]/3 - t[43]/3 - 3*t[44] + 
       (33*t[45])/4 + (103*t[46])/6 - (107*t[47])/6 - (13*t[48])/24 - 
       (367*t[49])/24 - (37*t[50])/24 - (653*t[51])/48 - (43*t[52])/24 + 
       (37*t[53])/8 + (293*t[54])/24 - (2*t[58])/3 - (91*t[59])/18 + 
       (221*t[60])/12 + (935*t[61])/12 + (659*t[62])/24 + (519*t[63])/8 - 
       (517*t[64])/24 - (187*t[65])/36 - (815*t[66])/18 - (10*t[68])/3 - 
       10*t[69] + 5*t[70] - 5*t[71] - t[72] + 4*t[73] + 3*t[74] - 9*t[75] + 
       (7*t[77])/2 + (61*t[78])/6 - 5*t[79] - (61*t[80])/3 + 8*t[81] + 
       (13*t[82])/2 + (151*t[83])/6 + (9*t[84])/4 - (59*t[85])/6 - 
       (487*t[86])/6 + (169*t[87])/12 + (169*t[88])/24 - (793*t[89])/24 + 
       (2*t[97])/3 - 48*t[98] + 24*t[99] - (19*t[100])/2 - 6*t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((11*t[1])/6 + (13*t[2])/12 - (41*t[3])/24 - (103*t[4])/4 - 
       (565*t[5])/48 + (277*t[6])/48 - (311*t[7])/24 + (1465*t[8])/24 - 
       (757*t[9])/48 - (81*t[10])/2 + (141*t[11])/16 + (2219*t[12])/48 - 
       (3029*t[13])/432 - (77*t[14])/16 + (13657*t[15])/864 - (5*t[27])/3 - 
       5*t[28] + (65*t[29])/12 + t[30]/6 + (4*t[32])/3 - (4*t[33])/3 - 
       (4*t[34])/3 - t[36] + (2*t[38])/3 + t[39] + t[40]/6 + (2*t[41])/3 - 
       (2*t[42])/3 - (3*t[43])/4 - (49*t[44])/6 + t[45]/2 + t[46]/6 + 
       t[47]/3 + (135*t[48])/16 - (43*t[49])/8 - (149*t[50])/16 + 
       (943*t[51])/48 + (383*t[52])/48 + (373*t[53])/24 + (2167*t[54])/48 + 
       (5*t[59])/3 - (485*t[60])/24 + (435*t[61])/8 - (913*t[62])/48 + 
       (161*t[63])/48 + (2307*t[64])/16 - (1211*t[65])/24 - (3035*t[66])/72 + 
       5*t[69] - 2*t[72] + 12*t[73] - 6*t[75] + (10*t[76])/3 - (2*t[77])/3 + 
       (13*t[78])/3 + 3*t[79] - (10*t[80])/3 + (13*t[81])/6 - (11*t[82])/6 + 
       (155*t[83])/6 - (731*t[84])/24 - (283*t[85])/8 + (29*t[86])/3 - 
       (181*t[87])/8 - (535*t[88])/48 - (1081*t[89])/16 + (11*t[96])/3 + 
       (8*t[97])/3 - 48*t[98] + 24*t[99] + (31*t[100])/2 - 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-19*t[1])/3 - 6*t[2] + 22*t[3] + (29*t[4])/4 - (23*t[5])/2 - 
       (173*t[6])/12 + (107*t[7])/12 - (301*t[8])/4 + (827*t[9])/24 + 
       (229*t[10])/24 - (277*t[11])/12 + (119*t[12])/24 - (886*t[13])/27 - 
       (2879*t[14])/72 - (509*t[15])/72 - (11*t[17])/6 - (2*t[18])/3 - 
       (7*t[21])/3 - (11*t[22])/3 + (11*t[23])/3 + t[24]/3 - 2*t[25] + 
       (11*t[26])/2 - 2*t[27] - 4*t[28] + 2*t[29] - 2*t[30] + t[31] + 
       (14*t[32])/3 - 4*t[33] + (14*t[34])/3 + 5*t[35] + t[37] - 
       (19*t[38])/3 - 7*t[40] + t[41]/6 + (10*t[42])/3 + (79*t[43])/12 + 
       7*t[44] + (11*t[45])/12 + 4*t[46] - (53*t[47])/6 - (19*t[48])/6 + 
       (107*t[49])/24 + (28*t[50])/3 - (121*t[51])/12 + 3*t[52] - 
       (33*t[53])/8 - (161*t[54])/12 - t[56]/3 - (7*t[58])/6 - (5*t[59])/6 - 
       77*t[60] - (353*t[61])/3 + (185*t[62])/3 + (219*t[63])/2 - 
       (557*t[64])/6 - (1363*t[65])/36 + (607*t[66])/4 - t[67]/2 + 
       (8*t[68])/3 + (4*t[70])/3 - (4*t[71])/3 - 4*t[72] + t[73] - 12*t[74] - 
       3*t[75] + (27*t[76])/2 + (5*t[77])/6 - (49*t[78])/2 + 11*t[79] - 
       (188*t[80])/3 - (46*t[81])/3 - (8*t[82])/3 - 25*t[83] - (75*t[84])/4 + 
       (227*t[85])/12 - (575*t[86])/6 + (43*t[87])/4 + (43*t[88])/8 + 
       (113*t[89])/4 + (2*t[92])/3 + (2*t[94])/3 + t[97]/3 + 128*t[98] - 
       116*t[99] + (203*t[100])/2 + 6*t[102]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*((-7*t[1])/6 + (43*t[2])/4 + 
       (15*t[3])/8 - (581*t[4])/12 + (2147*t[5])/48 + (1177*t[6])/48 - 
       (941*t[7])/24 + (2279*t[8])/24 - (375*t[9])/16 + (209*t[10])/12 - 
       (495*t[11])/16 + (415*t[12])/48 - (253*t[13])/16 + (7*t[14])/12 - 
       (4411*t[15])/864 + t[17]/3 - (8*t[19])/9 + 2*t[20] + t[21] - 
       (13*t[23])/3 - (2*t[24])/3 + 2*t[27] - 3*t[28] - (13*t[29])/3 - 
       (13*t[30])/3 + 2*t[31] + (17*t[32])/3 + (13*t[33])/3 - 4*t[34] - 
       3*t[35] - t[36] + 3*t[37] - (8*t[38])/3 - (4*t[39])/3 - (32*t[40])/3 + 
       (5*t[41])/6 - (5*t[42])/6 + (11*t[43])/4 - 12*t[44] - (23*t[45])/6 - 
       t[46] - t[47]/3 + (853*t[48])/48 - (29*t[49])/8 - (1015*t[50])/48 - 
       (23*t[51])/12 + (1847*t[52])/48 + (23*t[53])/24 + (431*t[54])/48 - 
       t[55]/6 - (10*t[59])/3 - (793*t[60])/24 - (1079*t[61])/8 - 
       (821*t[62])/48 - (199*t[63])/48 + (2339*t[64])/48 + (3311*t[65])/72 + 
       (5015*t[66])/72 + t[67]/6 + (4*t[68])/3 + (4*t[70])/3 - (4*t[71])/3 + 
       3*t[72] + 2*t[73] + t[74]/3 - 14*t[75] + (53*t[76])/6 + (23*t[77])/6 - 
       (31*t[78])/2 + 2*t[79] + 16*t[80] - (23*t[81])/3 + 5*t[82] - 
       17*t[83] - (431*t[84])/24 + (63*t[85])/8 + 32*t[86] + (499*t[87])/24 + 
       (779*t[88])/48 + (1313*t[89])/48 - 2*t[95] - (28*t[96])/3 + 
       (5*t[97])/3 + 128*t[98] - 116*t[99] + (203*t[100])/2 + 6*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-5*t[1])/3 + 25*t[2] + (194*t[3])/3 + (933*t[4])/4 - (377*t[5])/8 + 
       (451*t[6])/4 + (673*t[7])/12 - (313*t[8])/4 + (2111*t[9])/24 - 
       (2701*t[10])/24 + (1319*t[11])/12 - 31*t[12] + (1279*t[13])/24 - 
       (13481*t[14])/144 - (4355*t[15])/48 + (2*t[16])/3 + (2*t[18])/3 + 
       8*t[19] + 2*t[20] - (8*t[21])/3 - (22*t[22])/3 + (8*t[23])/3 + 
       (10*t[24])/3 + (2*t[25])/3 - (8*t[26])/3 - 14*t[27] - 4*t[28] + 
       (7*t[29])/3 + (13*t[30])/3 - 15*t[31] + 6*t[32] - (28*t[33])/3 + 
       (22*t[34])/3 + 8*t[35] - (124*t[36])/3 - 12*t[37] - t[38] + 
       (88*t[39])/3 - (91*t[40])/6 + (5*t[41])/3 - (19*t[42])/3 + 
       (47*t[43])/6 + (33*t[44])/2 - (101*t[45])/3 - 13*t[46] + 
       (31*t[47])/3 + (103*t[48])/3 - (781*t[49])/24 + 44*t[50] + 
       (419*t[51])/48 - (52*t[52])/3 - (851*t[53])/24 - (1591*t[54])/12 + 
       (10*t[58])/3 - 9*t[59] + (2731*t[60])/12 - (2105*t[61])/12 + 
       (161*t[62])/24 - (3035*t[63])/8 - (1435*t[64])/8 + (949*t[65])/36 + 
       (7687*t[66])/36 + 3*t[68] - 12*t[69] + 28*t[70] - 28*t[71] + 
       11*t[72] + 14*t[73] + 28*t[74] - 4*t[75] - (106*t[76])/3 + 
       (70*t[77])/3 + 34*t[78] + 16*t[79] + (22*t[80])/3 - (85*t[81])/3 - 
       (101*t[82])/3 - 6*t[83] + (2137*t[84])/12 + (345*t[85])/4 + 
       180*t[86] + (317*t[87])/4 + (2975*t[88])/24 + (3095*t[89])/24 - 
       t[90]/3 - (184*t[95])/3 - (152*t[96])/3 - (38*t[97])/3 - 320*t[98] + 
       460*t[99] - 368*t[100] - 20*t[101] + 12*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*((-9*t[2])/2 + (9*t[3])/2 + 
       6*t[4] + (7*t[5])/4 + (119*t[6])/4 - (9*t[7])/2 - (87*t[8])/2 - 
       (73*t[9])/4 + (5*t[10])/2 - (105*t[11])/4 - (79*t[12])/4 + 
       (47*t[13])/12 - (98*t[14])/3 - (101*t[15])/24 - 4*t[25] + 4*t[26] - 
       8*t[27] - 6*t[35] + 12*t[36] - 6*t[37] + 4*t[39] - 6*t[45] + 
       12*t[47] - (35*t[48])/4 + 5*t[49] + (73*t[50])/4 + 12*t[51] - 
       (73*t[52])/4 - 5*t[53] - (41*t[54])/4 - (101*t[60])/2 - (47*t[61])/2 - 
       (139*t[62])/4 + (67*t[63])/4 - (23*t[64])/4 - (157*t[65])/6 - 
       (137*t[66])/6 - 12*t[74] - 6*t[79] + 24*t[80] + 12*t[81] - 26*t[82] + 
       12*t[83] - (27*t[84])/2 - (11*t[85])/2 + 18*t[86] + (65*t[87])/2 + 
       (65*t[88])/4 - (109*t[89])/4)*\[Zeta][2] + 
     Qep[v, w, u]*((-64*t[2])/3 + (64*t[3])/3 + (128*t[4])/3 - (128*t[7])/3 + 
       192*t[8] - (448*t[9])/3 - (64*t[10])/3 + (256*t[11])/3 - 
       (64*t[12])/3 + (128*t[13])/9 - (224*t[14])/9 + (32*t[15])/3 + 
       (128*t[24])/3 + (128*t[33])/3 + (64*t[48])/3 + (128*t[49])/3 - 
       (64*t[50])/3 - (32*t[51])/3 + (64*t[52])/3 - (128*t[53])/3 - 
       (64*t[54])/3 + (128*t[61])/3 + (64*t[64])/3 - (512*t[65])/9 - 
       (512*t[66])/9 + (128*t[82])/3 - (64*t[89])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      (-3*t[2] + 3*t[3] + 10*t[4] + (19*t[5])/6 + (107*t[6])/6 - 3*t[7] - 
       29*t[8] - (85*t[9])/6 - (7*t[10])/3 - (11*t[11])/2 - (91*t[12])/6 + 
       (131*t[13])/18 - (190*t[14])/9 - (89*t[15])/36 + (4*t[25])/3 - 
       (4*t[26])/3 - (28*t[27])/3 - 4*t[35] + 8*t[36] - 4*t[37] - 
       (4*t[39])/3 - 4*t[45] + 8*t[47] - (23*t[48])/6 + (22*t[49])/3 + 
       (85*t[50])/6 + 8*t[51] - (85*t[52])/6 - (22*t[53])/3 - (101*t[54])/6 - 
       (113*t[60])/3 - (35*t[61])/3 - (127*t[62])/6 + (55*t[63])/6 - 
       (11*t[64])/6 - (205*t[65])/9 - (137*t[66])/9 - 8*t[74] - 4*t[79] + 
       16*t[80] + 8*t[81] - (40*t[82])/3 + 8*t[83] - 9*t[84] - (23*t[85])/3 + 
       12*t[86] + (77*t[87])/3 + (77*t[88])/6 - (121*t[89])/6)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*Omega2[u, v, w]*(t[1] - t[2]/2 + (13*t[3])/2 - 7*t[4] + 
       (71*t[5])/3 - (25*t[6])/6 - 13*t[7] + 14*t[8] - (229*t[9])/6 - 
       (83*t[10])/6 + 3*t[11] - (23*t[12])/3 - (313*t[13])/36 - 
       (31*t[14])/9 + (49*t[15])/9 + 4*t[24] - (14*t[25])/3 + (8*t[26])/3 + 
       (14*t[27])/3 + 4*t[28] + 4*t[33] + 2*t[35] - 2*t[36] + 2*t[38] + 
       (14*t[39])/3 + 2*t[40] + 5*t[46] + (17*t[48])/3 + (35*t[49])/6 + 
       (8*t[50])/3 - t[51]/2 - (8*t[52])/3 - (35*t[53])/6 - (16*t[54])/3 - 
       2*t[59] - (74*t[60])/3 - (56*t[61])/3 + (61*t[62])/3 + (5*t[63])/3 + 
       (49*t[64])/6 - (47*t[65])/18 + (221*t[66])/18 - 2*t[77] + 2*t[78] - 
       t[81] + (23*t[82])/3 - 5*t[83] - (3*t[84])/2 - (29*t[85])/3 - 
       20*t[86] + (38*t[87])/3 + (19*t[88])/3 - (25*t[89])/6)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*Omega2[w, u, v]*(5*t[4] + t[5] - t[6] - t[9] - 2*t[10] + 
       8*t[11] - t[12] - t[13] - 3*t[14] + t[15]/6 - 2*t[25] + 2*t[26] + 
       2*t[27] + 2*t[39] + t[48] + 2*t[49] + t[50] - t[52] - 2*t[53] - 
       5*t[54] - 2*t[60] + 2*t[61] + t[62] - t[63] + t[64] - (8*t[65])/3 + 
       6*t[82] - 2*t[85] + 2*t[87] + t[88] - t[89])*\[Zeta][2] + 
     M1[w, v, u]*(2*t[4] + (2*t[5])/3 - (2*t[6])/3 - (2*t[9])/3 - 
       (4*t[10])/3 + 4*t[11] - (2*t[12])/3 + (14*t[13])/9 + (2*t[14])/9 + 
       t[15]/9 + (4*t[25])/3 - (4*t[26])/3 - (4*t[27])/3 - (4*t[39])/3 + 
       (2*t[48])/3 + (4*t[49])/3 + (2*t[50])/3 - (2*t[52])/3 - (4*t[53])/3 - 
       (10*t[54])/3 - (2*t[60])/3 + (4*t[61])/3 + t[62]/3 - t[63]/3 + 
       (2*t[64])/3 - (16*t[65])/9 - (8*t[66])/9 + (2*t[82])/3 - (2*t[85])/3 + 
       (2*t[87])/3 + t[88]/3 - (2*t[89])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*Omega2[u, v, w]*(-t[4] + t[5]/3 - t[6]/3 - t[9]/3 - 
       (2*t[10])/3 - t[12]/3 + (37*t[13])/9 + (31*t[14])/9 + t[15]/18 + 
       (14*t[25])/3 - (14*t[26])/3 - (14*t[27])/3 - (14*t[39])/3 + t[48]/3 + 
       (2*t[49])/3 + t[50]/3 - t[52]/3 - (2*t[53])/3 - (5*t[54])/3 + 
       (2*t[60])/3 + (2*t[61])/3 - t[62]/3 + t[63]/3 + t[64]/3 - 
       (8*t[65])/9 - (16*t[66])/9 - (14*t[82])/3 + (2*t[85])/3 - 
       (2*t[87])/3 - t[88]/3 - t[89]/3)*\[Zeta][2] + 
     M1[v, u, w]*(t[4] + t[5]/3 - t[6]/3 - t[9]/3 - (2*t[10])/3 + 2*t[11] - 
       t[12]/3 + (7*t[13])/9 + t[14]/9 + t[15]/18 + (2*t[25])/3 - 
       (2*t[26])/3 - (2*t[27])/3 - (2*t[39])/3 + t[48]/3 + (2*t[49])/3 + 
       t[50]/3 - t[52]/3 - (2*t[53])/3 - (5*t[54])/3 - (4*t[60])/3 + 
       (2*t[61])/3 + (2*t[62])/3 - (2*t[63])/3 + t[64]/3 - (8*t[65])/9 + 
       (8*t[66])/9 + (4*t[82])/3 - (4*t[85])/3 + (4*t[87])/3 + (2*t[88])/3 - 
       t[89]/3)*\[Zeta][2] + Nt[u, v, w]*(-t[4]/2 + t[5]/6 - t[6]/6 - 
       t[9]/6 - t[10]/3 - t[12]/6 + (37*t[13])/18 + (31*t[14])/18 + 
       t[15]/36 + (7*t[25])/3 - (7*t[26])/3 - (7*t[27])/3 - (7*t[39])/3 + 
       t[48]/6 + t[49]/3 + t[50]/6 - t[52]/6 - t[53]/3 - (5*t[54])/6 + 
       t[60]/3 + t[61]/3 - t[62]/6 + t[63]/6 + t[64]/6 - (4*t[65])/9 - 
       (8*t[66])/9 - (7*t[82])/3 + t[85]/3 - t[87]/3 - t[88]/6 - t[89]/6)*
      \[Zeta][2] + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      (t[1] + 14*t[4] - (3*t[5])/4 - (3*t[6])/8 + (3*t[9])/4 + (5*t[10])/4 + 
       (21*t[11])/8 - (17*t[12])/2 + (19*t[13])/4 + (7*t[14])/3 - 
       (53*t[15])/24 - t[26] + t[38] - 2*t[46] - (3*t[48])/8 + 2*t[49] - 
       (3*t[50])/8 - t[51]/4 + (3*t[52])/8 - (13*t[53])/2 - (23*t[54])/8 - 
       t[59]/3 + (55*t[60])/4 - t[61]/2 - (107*t[62])/24 - (39*t[63])/8 - 
       (59*t[64])/4 - (67*t[65])/12 - (59*t[66])/4 - t[73] - 3*t[75] + 
       t[81]/2 - t[82]/2 + 3*t[83] + (13*t[84])/4 + 4*t[85] - (33*t[87])/4 - 
       (33*t[88])/8 + (7*t[89])/8)*\[Zeta][2] + HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - w]*(4*t[4] + (3*t[5])/8 - (3*t[7])/4 - (3*t[8])/4 - 
       (3*t[9])/8 - (9*t[10])/2 + (7*t[11])/4 - (5*t[12])/8 + 6*t[13] - 
       (151*t[14])/16 + (49*t[15])/16 + t[36] + (3*t[49])/4 + (19*t[51])/16 - 
       (3*t[53])/4 - (13*t[54])/4 + (13*t[60])/2 - (17*t[61])/2 + 
       (101*t[62])/8 - (93*t[63])/8 + (7*t[64])/4 + (167*t[65])/36 + 
       (139*t[66])/12 - t[73] - 3*t[75] + t[79] + 3*t[83] + (13*t[84])/4 + 
       (13*t[85])/4 - 3*t[86] - (15*t[87])/2 - (15*t[88])/4 + (45*t[89])/4)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      (3*t[2] - 3*t[3] - 6*t[4] - (11*t[5])/6 - (115*t[6])/6 + 3*t[7] + 
       29*t[8] + (77*t[9])/6 - t[10]/3 + (27*t[11])/2 + (83*t[12])/6 - 
       (25*t[13])/6 + (194*t[14])/9 + (97*t[15])/36 + (4*t[25])/3 - 
       (4*t[26])/3 + (20*t[27])/3 + 4*t[35] - 8*t[36] + 4*t[37] - 
       (4*t[39])/3 + 4*t[45] - 8*t[47] + (31*t[48])/6 - (14*t[49])/3 - 
       (77*t[50])/6 - 8*t[51] + (77*t[52])/6 + (14*t[53])/3 + (61*t[54])/6 + 
       (109*t[60])/3 + (43*t[61])/3 + (131*t[62])/6 - (59*t[63])/6 + 
       (19*t[64])/6 + (173*t[65])/9 + (121*t[66])/9 + 8*t[74] + 4*t[79] - 
       16*t[80] - 8*t[81] + (44*t[82])/3 - 8*t[83] + 9*t[84] + (19*t[85])/3 - 
       12*t[86] - (73*t[87])/3 - (73*t[88])/6 + (113*t[89])/6)*\[Zeta][2] + 
     Qep[v, u, w]*(-16*t[1] - (32*t[2])/3 - (64*t[3])/3 + (16*t[4])/3 - 
       (356*t[5])/3 + (44*t[6])/3 + (32*t[7])/3 + 256*t[8] + 76*t[9] - 
       (256*t[10])/3 + (68*t[11])/3 + 84*t[12] + (1928*t[13])/9 + 
       (320*t[14])/3 - (346*t[15])/9 + (64*t[24])/3 + (224*t[25])/3 - 
       (128*t[26])/3 + (160*t[27])/3 + (64*t[33])/3 + 160*t[36] + 32*t[37] - 
       32*t[38] + (160*t[39])/3 + 32*t[40] - 32*t[45] + 64*t[47] + 20*t[48] - 
       32*t[49] - (292*t[50])/3 + (8*t[51])/3 + (292*t[52])/3 + 32*t[53] + 
       (548*t[54])/3 + 32*t[59] + (680*t[60])/3 + 424*t[61] + (140*t[62])/3 + 
       (532*t[63])/3 - 148*t[64] + (512*t[65])/3 - (6080*t[66])/9 - 
       160*t[74] - 32*t[77] - 32*t[78] + 80*t[81] - (208*t[82])/3 + 
       32*t[84] + (104*t[85])/3 + 64*t[86] - (200*t[87])/3 - (100*t[88])/3 - 
       28*t[89] - 64*t[95] - 384*t[99] - 768*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*(-8*t[1] - t[2] - 
       (159*t[3])/2 + (141*t[4])/2 - (443*t[5])/6 + (76*t[6])/3 + 
       (91*t[7])/4 - (15*t[8])/4 + (1411*t[9])/12 + (365*t[10])/3 + 
       (491*t[11])/4 - (53*t[12])/12 + (3131*t[13])/72 + (15535*t[14])/72 + 
       (3413*t[15])/72 - 4*t[18] + 8*t[19] - 14*t[21] + 2*t[22] + 14*t[23] - 
       14*t[24] + (46*t[25])/3 - (61*t[26])/3 - (22*t[27])/3 - 4*t[28] + 
       8*t[29] + 2*t[30] - 10*t[33] - 4*t[34] + 2*t[36] + 2*t[37] + 6*t[38] + 
       (8*t[39])/3 - 2*t[40] - 2*t[42] + (29*t[43])/4 - 4*t[44] + 
       (107*t[45])/2 - 19*t[46] - 113*t[47] - (235*t[48])/12 + 
       (259*t[49])/12 + (89*t[50])/12 - (51*t[51])/8 + (31*t[52])/12 - 
       (259*t[53])/12 + (245*t[54])/12 - 7*t[58] + (679*t[60])/3 + 
       (1294*t[61])/3 - (683*t[62])/12 + (2675*t[63])/12 - (1943*t[64])/6 - 
       (2074*t[65])/9 - (6127*t[66])/18 + 4*t[70] - 2*t[71] + 2*t[74] - 
       13*t[76] - 6*t[77] + 48*t[78] - 134*t[80] + 26*t[81] - (127*t[82])/3 + 
       4*t[83] + 52*t[84] - (79*t[85])/6 - 118*t[86] - (1001*t[87])/6 - 
       (1001*t[88])/12 - (865*t[89])/6 - 4*t[95] - 48*t[98] + 192*t[99] - 
       720*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((129*t[1])/8 + 26*t[2] - (359*t[3])/8 + (337*t[4])/32 - 
       (3227*t[5])/96 + (8867*t[6])/96 + 23*t[7] + (511*t[8])/4 + 
       (7511*t[9])/96 - (30877*t[10])/192 + (1257*t[11])/32 + 
       (2857*t[12])/192 + (1493*t[13])/32 + (88267*t[14])/1152 + 
       (2381*t[15])/72 + 20*t[19] + 6*t[20] + 20*t[21] - 6*t[22] - 20*t[23] - 
       6*t[24] + (4*t[25])/3 - (139*t[26])/12 - (4*t[27])/3 + (7*t[28])/2 + 
       5*t[29] + 9*t[30] + 3*t[31] - 2*t[32] - 2*t[33] - (9*t[34])/2 - 
       7*t[35] + (25*t[36])/4 - t[37]/4 + 10*t[38] + (103*t[39])/6 - t[40] + 
       (41*t[41])/4 - (41*t[42])/4 - t[43]/2 - 5*t[44] - (45*t[45])/4 + 
       (21*t[46])/2 + (23*t[47])/2 + (6271*t[48])/96 - (1247*t[49])/192 + 
       (919*t[50])/96 + (1291*t[51])/128 - (247*t[52])/96 + (863*t[53])/192 + 
       (236*t[54])/3 - 2*t[58] + (13*t[59])/8 + (4199*t[60])/96 + 
       (21815*t[61])/96 + (14041*t[62])/192 + (5255*t[63])/192 + 
       (7679*t[64])/192 + (6493*t[65])/288 - (26053*t[66])/288 - 
       (7*t[70])/2 + (7*t[71])/2 - (11*t[72])/2 + 5*t[73] - (39*t[74])/4 - 
       5*t[75] - 29*t[76] - (19*t[77])/4 + 72*t[78] + 14*t[79] + 
       (145*t[80])/2 + (41*t[81])/8 - (191*t[82])/24 - (13*t[83])/2 + 
       (1363*t[84])/32 - (5365*t[85])/96 + (27*t[86])/2 + (637*t[87])/96 - 
       (2771*t[88])/192 - (8543*t[89])/192 - (9*t[95])/2 - 6*t[96] - 
       (35*t[97])/4 - 18*t[98] + 135*t[99] - 708*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*(12*t[1] - (107*t[2])/8 - 
       (617*t[3])/8 + (1649*t[4])/32 - (12161*t[5])/96 + (10397*t[6])/96 + 
       50*t[7] + (683*t[8])/4 + (14477*t[9])/96 + (16565*t[10])/192 + 
       (3169*t[11])/32 - (5117*t[12])/192 + (3863*t[13])/288 + 
       (305095*t[14])/1152 + (839*t[15])/36 + 18*t[19] - 6*t[20] - 20*t[21] + 
       4*t[22] + 20*t[23] + 6*t[24] + (83*t[25])/6 - (49*t[26])/3 - 
       (46*t[27])/3 - (3*t[28])/2 + 2*t[29] + t[31]/2 + 4*t[32] + 2*t[33] - 
       (9*t[34])/4 + 3*t[35] + (47*t[36])/4 - (57*t[37])/4 + (35*t[38])/4 + 
       (5*t[39])/3 - (3*t[40])/2 - (47*t[41])/8 + (47*t[42])/8 + t[43]/4 + 
       t[44] + (141*t[45])/4 - 15*t[46] - (131*t[47])/2 + (3109*t[48])/96 + 
       (10195*t[49])/192 + (13*t[50])/96 - (2221*t[51])/128 + 
       (1787*t[52])/96 - (8467*t[53])/192 + (3785*t[54])/48 - (11*t[58])/4 - 
       t[59]/2 + (18737*t[60])/96 + (42635*t[61])/96 - (13403*t[62])/192 + 
       (35603*t[63])/192 - (54229*t[64])/192 - (43991*t[65])/288 - 
       (117997*t[66])/288 + 2*t[69] - (11*t[70])/2 + (11*t[71])/2 + 7*t[73] - 
       (53*t[74])/4 - 7*t[75] - (43*t[76])/2 - (69*t[77])/4 + (305*t[78])/4 - 
       131*t[80] + (233*t[81])/8 - (1469*t[82])/24 - 4*t[83] + 
       (1835*t[84])/32 - (1225*t[85])/96 - (125*t[86])/2 - (10463*t[87])/96 - 
       (13295*t[88])/192 - (22493*t[89])/192 - (9*t[95])/2 - (5*t[96])/2 - 
       7*t[97] - 18*t[98] + 135*t[99] - 708*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*(5*t[1] - (15*t[2])/2 - 
       (273*t[3])/4 + 21*t[4] + (31*t[5])/2 + 111*t[6] - 13*t[7] + 227*t[8] - 
       42*t[9] - 62*t[10] + 83*t[11] - t[12] + (301*t[13])/9 + 
       (471*t[14])/4 + (4277*t[15])/72 + 6*t[19] + 10*t[21] - 6*t[22] - 
       10*t[23] + 10*t[24] - 4*t[25] - 14*t[27] + 4*t[28] + 7*t[29] + 
       11*t[32] + 12*t[33] - 14*t[34] - 4*t[36] - 20*t[37] + 4*t[38] + 
       20*t[39] - 8*t[40] + 7*t[41] - 7*t[42] - 2*t[43] - (19*t[44])/2 + 
       10*t[45] + 6*t[46] - 30*t[47] + 62*t[48] + (35*t[49])/2 + 7*t[50] + 
       (7*t[51])/4 - 3*t[52] - (35*t[53])/2 + (83*t[54])/2 + 5*t[59] + 
       (115*t[60])/2 + 395*t[61] - 104*t[62] + 9*t[63] - (89*t[64])/2 - 
       (95*t[65])/6 - (853*t[66])/6 + 4*t[70] - 4*t[71] + 2*t[74] - t[76] + 
       2*t[77] + 25*t[78] - 4*t[79] + 76*t[80] + 11*t[81] - 17*t[82] + 
       2*t[83] + (63*t[84])/2 - 76*t[85] - 36*t[86] - 14*t[87] + 9*t[88] - 
       (275*t[89])/4 - 4*t[95] - 2*t[96] + 6*t[97] - 48*t[98] + 216*t[99] - 
       672*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (t[1] - 72*t[2] - (547*t[3])/4 + (287*t[4])/2 - (2489*t[5])/24 + 
       (571*t[6])/12 + (583*t[7])/4 + (71*t[8])/4 + (3437*t[9])/24 - 
       (2539*t[10])/12 + (805*t[11])/4 - (691*t[12])/24 + (3467*t[13])/72 + 
       (1811*t[14])/9 + (889*t[15])/144 - 4*t[19] + 6*t[21] - 12*t[22] - 
       6*t[23] + 8*t[24] + (16*t[25])/3 - (46*t[26])/3 - (82*t[27])/3 + 
       16*t[28] - 24*t[29] + 16*t[30] + 8*t[31] - 12*t[32] + 18*t[33] + 
       42*t[34] - 8*t[35] - 42*t[36] - 2*t[37] - (70*t[39])/3 + 14*t[40] + 
       5*t[41] - 5*t[42] + (3*t[43])/2 + 30*t[44] - (29*t[45])/2 + 5*t[46] - 
       t[47] + (61*t[48])/6 + (155*t[49])/6 + (265*t[50])/6 - (35*t[51])/8 - 
       (253*t[52])/6 - (101*t[53])/6 + (68*t[54])/3 - 4*t[57] - 2*t[58] + 
       (766*t[60])/3 + (1216*t[61])/3 - (391*t[62])/6 + (673*t[63])/6 - 
       (337*t[64])/3 - (2675*t[65])/18 - (5293*t[66])/18 - 10*t[69] + 
       24*t[73] + 30*t[74] + 32*t[75] + 42*t[76] + 4*t[77] + 14*t[78] + 
       44*t[79] + 46*t[80] + 37*t[81] - (109*t[82])/3 - 49*t[83] + 64*t[84] + 
       (53*t[85])/6 - 73*t[86] - (899*t[87])/6 - (899*t[88])/12 - 
       (697*t[89])/6 - 4*t[95] + 4*t[97] + 176*t[98] - 40*t[99] - 668*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((2*t[1])/3 - (10*t[2])/3 + (31*t[3])/3 + (223*t[4])/24 + 
       (437*t[5])/12 - (421*t[6])/12 - (53*t[7])/3 + (164*t[8])/3 - 
       (77*t[9])/12 - (11077*t[10])/48 + (1223*t[11])/6 - (389*t[12])/48 - 
       (20183*t[13])/216 + (56059*t[14])/288 + (1427*t[15])/48 + 2*t[24] - 
       (37*t[25])/3 - (25*t[26])/3 - 11*t[27] - 10*t[28] + 6*t[29] - 
       2*t[30] + (16*t[31])/3 + 4*t[32] - 2*t[33] - (2*t[34])/3 + 16*t[35] - 
       60*t[36] - (74*t[37])/3 + (41*t[38])/3 + (52*t[39])/3 - (16*t[40])/3 + 
       t[41]/3 - t[42]/3 - 2*t[43] - 37*t[44] + (40*t[45])/3 + 44*t[46] - 
       (68*t[47])/3 + (361*t[48])/12 + (457*t[49])/48 - (29*t[50])/4 - 
       (1151*t[51])/96 - (35*t[52])/4 - (3*t[53])/16 + (125*t[54])/24 - 
       (8*t[58])/3 - (47*t[59])/6 + (115*t[60])/8 + (5693*t[61])/24 - 
       (3387*t[62])/16 + (523*t[63])/16 - (4895*t[64])/48 - 
       (14047*t[65])/72 - (129*t[66])/8 + 8*t[69] + (14*t[70])/3 - 
       (14*t[71])/3 - 8*t[72] - 24*t[73] + 74*t[74] + 8*t[75] + 
       (49*t[76])/3 + (2*t[77])/3 - (106*t[78])/3 - 56*t[79] + 46*t[80] - 
       (34*t[81])/3 - (19*t[82])/3 - (4*t[83])/3 - (89*t[84])/8 - 
       (481*t[85])/8 - 36*t[86] - (3341*t[87])/24 - (4045*t[88])/48 - 
       (4825*t[89])/48 + (40*t[96])/3 + 9*t[97] + 200*t[98] + 48*t[99] - 
       632*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((49*t[1])/6 - (161*t[2])/6 - (154*t[3])/3 + (1903*t[4])/24 - 
       (1367*t[5])/12 + (439*t[6])/4 + 10*t[7] - 25*t[8] + (1451*t[9])/12 + 
       (4079*t[10])/16 + (235*t[11])/12 + (409*t[12])/48 + (109*t[13])/8 + 
       (6271*t[14])/32 + (2191*t[15])/144 - 14*t[24] + (43*t[25])/3 - 
       20*t[26] - (145*t[27])/3 - 2*t[28] - 4*t[29] + 16*t[30] + 
       (44*t[31])/3 - 4*t[32] - 10*t[33] - (11*t[34])/3 + 4*t[35] - 
       34*t[36] - (38*t[37])/3 + (32*t[38])/3 - 21*t[39] - t[40]/3 + 
       (11*t[41])/6 - (11*t[42])/6 - (7*t[43])/2 - 8*t[44] + (112*t[45])/3 - 
       (106*t[46])/3 - (236*t[47])/3 + (91*t[48])/12 + (3755*t[49])/48 - 
       (653*t[50])/12 - (871*t[51])/96 + (497*t[52])/12 - (2699*t[53])/48 + 
       (737*t[54])/24 - (5*t[58])/3 - (16*t[59])/3 + (1725*t[60])/8 + 
       (10301*t[61])/24 - (5801*t[62])/48 + (3195*t[63])/16 - 
       (3485*t[64])/16 - (7805*t[65])/24 - (5399*t[66])/24 - (10*t[70])/3 + 
       (10*t[71])/3 - (28*t[72])/3 - 32*t[73] + 20*t[74] + 16*t[75] + 
       (56*t[76])/3 + (46*t[77])/3 - (100*t[78])/3 - 4*t[79] - 
       (160*t[80])/3 + 14*t[81] - 41*t[82] + (8*t[83])/3 - (143*t[84])/24 - 
       (427*t[85])/24 - 162*t[86] - (5477*t[87])/24 - (6181*t[88])/48 - 
       (1785*t[89])/16 + (70*t[96])/3 + 12*t[97] + 200*t[98] + 48*t[99] - 
       632*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      (14*t[1] - 4*t[2] - (75*t[3])/4 - (79*t[4])/2 - (133*t[5])/8 + 
       (159*t[6])/8 + (253*t[7])/4 - (137*t[8])/4 + (779*t[9])/8 + 
       (159*t[10])/4 + (869*t[11])/8 + (69*t[12])/8 + (3409*t[13])/72 + 
       (589*t[14])/8 + (2105*t[15])/144 + 8*t[25] - 16*t[26] - 16*t[27] + 
       12*t[28] + 6*t[29] - 10*t[30] - 12*t[31] - 2*t[34] - 26*t[36] + 
       6*t[37] + 12*t[38] - 2*t[39] - t[40] + t[41] - t[42] + (19*t[43])/2 + 
       t[44] + (9*t[45])/2 - 6*t[46] - 9*t[47] - (81*t[48])/8 + 11*t[49] - 
       (149*t[50])/8 - (21*t[51])/8 + (37*t[52])/8 - t[53] - (67*t[54])/8 - 
       2*t[58] + 3*t[59] + (455*t[60])/4 + (1701*t[61])/4 - (1141*t[62])/8 - 
       (499*t[63])/8 + (1617*t[64])/8 - (519*t[65])/4 - (4403*t[66])/12 + 
       28*t[73] + 26*t[74] - 12*t[75] + 38*t[76] + 2*t[77] - 26*t[78] + 
       4*t[79] + 30*t[80] + 19*t[81] - 47*t[82] + 6*t[83] + (93*t[84])/4 - 
       (21*t[85])/4 + 105*t[86] - (491*t[87])/4 - (491*t[88])/8 - 
       (783*t[89])/8 - 4*t[95] + 12*t[96] + 10*t[97] + 80*t[98] + 80*t[99] - 
       572*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      (8*t[1] - 6*t[2] - (115*t[3])/4 - (35*t[4])/2 + (731*t[5])/8 - 
       (145*t[6])/8 + (129*t[7])/4 + (3*t[8])/4 - (573*t[9])/8 - 
       (589*t[10])/4 + (1221*t[11])/8 + (21*t[12])/8 + (1099*t[13])/24 + 
       (1463*t[14])/24 + (681*t[15])/16 + 4*t[24] - 12*t[26] - 12*t[27] + 
       4*t[28] - 6*t[29] - 2*t[30] - 4*t[31] + 4*t[33] - 2*t[34] - 24*t[35] - 
       10*t[36] - 34*t[37] + 8*t[38] + 2*t[39] + 9*t[40] + t[41] - t[42] + 
       (13*t[43])/2 + 35*t[44] + (9*t[45])/2 + 14*t[46] - 9*t[47] + 
       (207*t[48])/8 - t[49] + (27*t[50])/8 + (43*t[51])/8 - (139*t[52])/8 + 
       11*t[53] - (243*t[54])/8 - 2*t[58] - 3*t[59] - (33*t[60])/4 + 
       (909*t[61])/4 - (1101*t[62])/8 - (859*t[63])/8 - (247*t[64])/8 + 
       (65*t[65])/4 - (1499*t[66])/12 - 12*t[69] + 28*t[73] + 18*t[74] - 
       8*t[75] + 26*t[76] + 2*t[77] + 2*t[78] + 32*t[79] + 98*t[80] - 
       5*t[81] + 25*t[82] - 14*t[83] + (77*t[84])/4 - (245*t[85])/4 - 
       15*t[86] + (85*t[87])/4 + (85*t[88])/8 - (543*t[89])/8 - 4*t[95] + 
       12*t[96] + 10*t[97] + 80*t[98] + 80*t[99] - 572*t[100])*\[Zeta][2] + 
     Qep[u, w, v]*((-32*t[1])/3 + (64*t[2])/3 - (128*t[3])/3 + (32*t[4])/3 - 
       (584*t[5])/9 - (40*t[6])/9 + 64*t[7] - (256*t[8])/3 + (2120*t[9])/9 - 
       (512*t[10])/9 + 8*t[11] + (632*t[12])/9 + (3280*t[13])/27 + 
       (1984*t[14])/27 - (1012*t[15])/27 - (128*t[24])/3 + (320*t[25])/9 - 
       (128*t[26])/9 + (448*t[27])/9 - (128*t[33])/3 + (320*t[36])/3 + 
       (64*t[37])/3 - (64*t[38])/3 + (448*t[39])/9 + (64*t[40])/3 - 
       (64*t[45])/3 + (128*t[47])/3 - (8*t[48])/9 - (448*t[49])/9 - 
       (200*t[50])/9 + 16*t[51] + (200*t[52])/9 + (448*t[53])/9 + 
       (712*t[54])/9 + (64*t[59])/3 + (1232*t[60])/9 + (2288*t[61])/9 + 
       (344*t[62])/9 + (1000*t[63])/9 - (1016*t[64])/9 + (4096*t[65])/27 - 
       (10624*t[66])/27 - (320*t[74])/3 - (64*t[77])/3 - (64*t[78])/3 + 
       (160*t[81])/3 - (416*t[82])/9 + (64*t[84])/3 + (80*t[85])/9 + 
       (128*t[86])/3 - (272*t[87])/9 - (136*t[88])/9 - (40*t[89])/9 - 
       (128*t[95])/3 - 256*t[99] - 512*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*(8*t[1] - (107*t[2])/2 - 
       106*t[3] + (25*t[4])/2 - (227*t[5])/12 + (4351*t[6])/24 + 79*t[7] + 
       (193*t[8])/2 + (235*t[9])/6 - (203*t[10])/3 + (1187*t[11])/8 - 
       (439*t[12])/12 + (775*t[13])/36 + (5311*t[14])/36 + (343*t[15])/18 + 
       4*t[19] - 4*t[21] - 6*t[22] + 4*t[23] - 2*t[24] - (58*t[25])/3 + 
       (22*t[26])/3 - (134*t[27])/3 - 20*t[28] + 2*t[29] - 22*t[30] - 
       2*t[31] - 9*t[32] + 2*t[33] + 12*t[34] + 4*t[35] - 72*t[36] - 
       6*t[37] + 10*t[38] - (62*t[39])/3 - 18*t[40] + 3*t[41] - 3*t[42] + 
       3*t[43] - 15*t[44] + 21*t[45] - 14*t[46] - 2*t[47] - (91*t[48])/24 + 
       (295*t[49])/6 + (161*t[50])/24 - (103*t[51])/8 - (161*t[52])/24 - 
       (229*t[53])/6 - (1225*t[54])/24 - 4*t[57] - 7*t[59] + 
       (1157*t[60])/12 + (3713*t[61])/12 - (4001*t[62])/24 - 
       (2647*t[63])/24 + (6005*t[64])/24 - (8273*t[65])/36 - 
       (6835*t[66])/36 + 28*t[73] + 66*t[74] - 12*t[75] + 36*t[76] - 
       6*t[77] - 2*t[78] + 4*t[79] + 24*t[80] - 5*t[81] - (89*t[82])/3 + 
       6*t[83] + (85*t[84])/4 - (151*t[85])/12 + 110*t[86] - 
       (1481*t[87])/12 - (1433*t[88])/24 - (2645*t[89])/24 + 12*t[95] + 
       12*t[96] + 10*t[97] + 176*t[98] + 80*t[99] - 428*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (16*t[1] + (29*t[2])/6 - (197*t[3])/6 - (665*t[4])/24 - (595*t[5])/12 + 
       (14*t[6])/3 + (55*t[7])/3 + 121*t[8] + (1111*t[9])/12 - 
       (535*t[10])/48 + (29*t[11])/2 + (1049*t[12])/48 - (2563*t[13])/216 + 
       (2969*t[14])/32 - (77*t[15])/16 - t[25]/3 - (20*t[26])/3 + 
       (71*t[27])/3 + 2*t[29] + 2*t[30] + (8*t[31])/3 + 2*t[32] - 2*t[33] - 
       (10*t[34])/3 + (94*t[36])/3 + (38*t[37])/3 + 9*t[38] + (58*t[39])/3 - 
       (2*t[40])/3 + (5*t[41])/3 - (5*t[42])/3 + t[43] - 2*t[44] + 
       (2*t[45])/3 - 2*t[46] + (2*t[47])/3 + (161*t[48])/6 - (85*t[49])/48 - 
       (239*t[50])/6 - (1693*t[51])/96 + (299*t[52])/6 + (375*t[53])/16 + 
       (601*t[54])/8 + (2*t[58])/3 - t[59]/2 + (847*t[60])/24 + 
       (3655*t[61])/24 + (1167*t[62])/16 + (5851*t[63])/48 - 
       (5153*t[64])/48 + (125*t[65])/8 - (8233*t[66])/72 - 6*t[69] - 
       (14*t[70])/3 + (14*t[71])/3 - 4*t[72] - 2*t[73] - (58*t[74])/3 + 
       4*t[75] + (32*t[76])/3 - (8*t[77])/3 - (83*t[78])/3 + 26*t[79] - 
       20*t[80] + t[81] + (97*t[82])/3 - (145*t[83])/3 - (259*t[84])/24 - 
       (431*t[85])/24 - (202*t[86])/3 - (191*t[87])/8 - (1733*t[88])/48 - 
       (45*t[89])/16 + (8*t[95])/3 + (38*t[96])/3 + 56*t[98] - 80*t[99] - 
       259*t[100])*\[Zeta][2] + Qep[u, v, w]*((-16*t[1])/3 + (32*t[2])/3 - 
       (64*t[3])/3 + (208*t[4])/3 - (196*t[5])/9 - (116*t[6])/9 + 32*t[7] - 
       (128*t[8])/3 + (964*t[9])/9 - (448*t[10])/9 + 100*t[11] + 
       (220*t[12])/9 + (872*t[13])/27 - (352*t[14])/27 - (458*t[15])/27 - 
       (64*t[24])/3 - (224*t[25])/9 + (320*t[26])/9 + (608*t[27])/9 - 
       (64*t[33])/3 + (160*t[36])/3 + (32*t[37])/3 - (32*t[38])/3 + 
       (608*t[39])/9 + (32*t[40])/3 - (32*t[45])/3 + (64*t[47])/3 + 
       (92*t[48])/9 - (32*t[49])/9 - (4*t[50])/9 + 8*t[51] + (4*t[52])/9 + 
       (32*t[53])/9 - (124*t[54])/9 + (32*t[59])/3 + (232*t[60])/9 + 
       (1336*t[61])/9 + (364*t[62])/9 + (308*t[63])/9 - (412*t[64])/9 + 
       (1280*t[65])/27 - (4544*t[66])/27 - (160*t[74])/3 - (32*t[77])/3 - 
       (32*t[78])/3 + (80*t[81])/3 + (752*t[82])/9 + (32*t[84])/3 - 
       (344*t[85])/9 + (64*t[86])/3 + (248*t[87])/9 + (124*t[88])/9 - 
       (116*t[89])/9 - (64*t[95])/3 - 128*t[99] - 256*t[100])*\[Zeta][2] + 
     Qep[w, v, u]*((-16*t[1])/3 + (32*t[2])/3 - (64*t[3])/3 - (112*t[4])/3 - 
       (388*t[5])/9 + (76*t[6])/9 + 32*t[7] - (128*t[8])/3 + (1156*t[9])/9 - 
       (64*t[10])/9 - (212*t[11])/3 + (412*t[12])/9 + (1448*t[13])/27 + 
       (1376*t[14])/27 - (554*t[15])/27 - (64*t[24])/3 + (160*t[25])/9 - 
       (64*t[26])/9 + (224*t[27])/9 - (64*t[33])/3 + (160*t[36])/3 + 
       (32*t[37])/3 - (32*t[38])/3 + (224*t[39])/9 + (32*t[40])/3 - 
       (32*t[45])/3 + (64*t[47])/3 - (100*t[48])/9 - (416*t[49])/9 - 
       (196*t[50])/9 + 8*t[51] + (196*t[52])/9 + (416*t[53])/9 + 
       (836*t[54])/9 + (32*t[59])/3 + (616*t[60])/9 + (952*t[61])/9 + 
       (172*t[62])/9 + (500*t[63])/9 - (604*t[64])/9 + (2816*t[65])/27 - 
       (4544*t[66])/27 - (160*t[74])/3 - (32*t[77])/3 - (32*t[78])/3 + 
       (80*t[81])/3 - (400*t[82])/9 + (32*t[84])/3 + (40*t[85])/9 + 
       (64*t[86])/3 - (136*t[87])/9 - (68*t[88])/9 + (76*t[89])/9 - 
       (64*t[95])/3 - 128*t[99] - 256*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-32*t[1])/3 + (11*t[2])/6 - (37*t[3])/6 - (1057*t[4])/24 - 
       (335*t[5])/12 + (61*t[6])/3 - (15*t[7])/2 + t[8]/2 + (491*t[9])/12 - 
       (4417*t[10])/48 - (289*t[11])/12 + (649*t[12])/16 + (1345*t[13])/72 - 
       (6179*t[14])/288 - (65*t[15])/48 - t[25] + (32*t[26])/3 + 9*t[27] - 
       2*t[29] - 2*t[30] - (8*t[31])/3 - 2*t[32] + 2*t[33] + (8*t[34])/3 + 
       34*t[36] + (14*t[37])/3 - (35*t[38])/3 + (50*t[39])/3 + (28*t[40])/3 - 
       (4*t[41])/3 + (4*t[42])/3 - t[43] + 2*t[44] - (28*t[45])/3 - 
       (2*t[46])/3 + (50*t[47])/3 + (65*t[48])/6 - (631*t[49])/48 - 
       (7*t[50])/6 + (2947*t[51])/96 + (31*t[52])/6 + (1399*t[53])/48 + 
       (1427*t[54])/24 - (4*t[58])/3 + (41*t[59])/6 - (2071*t[60])/24 + 
       (189*t[61])/8 + (1931*t[62])/16 + (5327*t[63])/48 - (6601*t[64])/48 + 
       (3961*t[65])/72 - (10537*t[66])/72 + 4*t[69] - (14*t[70])/3 + 
       (14*t[71])/3 + (4*t[72])/3 + 10*t[73] - 36*t[74] + 6*t[75] + 
       (34*t[76])/3 - (34*t[77])/3 - (29*t[78])/3 - 8*t[79] + (46*t[80])/3 + 
       36*t[81] - (22*t[82])/3 - (41*t[83])/3 - (343*t[84])/24 - 
       (85*t[85])/8 - 32*t[86] + (345*t[87])/8 - (157*t[88])/48 - 
       (2909*t[89])/48 + 8*t[95] + (2*t[96])/3 - 6*t[97] + 56*t[98] - 
       80*t[99] - 219*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-6*t[1] - 2*t[2] - (13*t[3])/2 - 39*t[4] - 
       (5*t[5])/4 + (79*t[6])/4 + (27*t[7])/2 + (185*t[8])/2 + (67*t[9])/4 - 
       (161*t[10])/2 + (41*t[11])/4 + (229*t[12])/4 + (437*t[13])/12 + 
       15*t[14] + (263*t[15])/24 + 4*t[24] + 10*t[25] - 4*t[26] - 6*t[27] + 
       4*t[33] + 16*t[36] + 4*t[37] - 6*t[38] - 4*t[39] + 4*t[40] - 4*t[45] + 
       4*t[46] + 8*t[47] + (79*t[48])/4 - 33*t[49] - (117*t[50])/4 + 
       9*t[51] + (117*t[52])/4 + 36*t[53] + (213*t[54])/4 + 6*t[59] + 
       (81*t[60])/2 + (231*t[61])/2 + (227*t[62])/4 + (33*t[63])/4 - 
       (441*t[64])/4 + (293*t[65])/6 - (111*t[66])/2 + 4*t[69] + 4*t[72] - 
       8*t[74] - 4*t[75] - 6*t[76] - 4*t[77] - 4*t[78] + 12*t[79] + 4*t[80] - 
       4*t[81] - 32*t[83] + (17*t[84])/2 - (21*t[85])/2 - 20*t[86] - 
       (31*t[87])/2 - (31*t[88])/4 - t[89]/4 - 16*t[99] - 214*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-33*t[1])/4 - 12*t[2] + (19*t[3])/3 + (163*t[4])/24 + 
       (7949*t[5])/144 - (7247*t[6])/144 - (13*t[7])/3 - (215*t[8])/6 - 
       (3293*t[9])/144 + (479*t[10])/144 - (955*t[11])/48 - (263*t[12])/9 + 
       (389*t[13])/36 + (8827*t[14])/864 + (6887*t[15])/864 - (7*t[24])/3 + 
       (29*t[25])/18 + (38*t[26])/9 - (137*t[27])/18 - 4*t[28] - 4*t[30] + 
       (2*t[31])/3 - (7*t[33])/3 - (10*t[34])/3 + 2*t[35] + (143*t[36])/6 + 
       (35*t[37])/6 - (35*t[38])/6 + (55*t[39])/18 + (15*t[40])/2 + 
       (5*t[41])/3 - (5*t[42])/3 - 2*t[43] + 4*t[44] - t[45]/2 - 7*t[46] + 
       t[47] - (211*t[48])/144 + (9661*t[49])/144 - (2203*t[50])/144 - 
       (1465*t[51])/96 + (475*t[52])/144 - (4525*t[53])/144 - 
       (247*t[54])/144 - (10*t[58])/3 + 6*t[59] - (338*t[60])/9 + 
       (883*t[61])/36 - (1445*t[62])/36 + (4151*t[63])/36 - (295*t[64])/9 - 
       (14267*t[65])/216 - (14641*t[66])/216 - 6*t[69] - (8*t[70])/3 + 
       (8*t[71])/3 - 12*t[72] - 12*t[73] - (143*t[74])/6 + 8*t[75] + 
       (161*t[76])/3 - (11*t[77])/6 - (293*t[78])/6 - 4*t[79] + 40*t[80] + 
       (73*t[81])/4 - (19*t[82])/36 + (25*t[83])/3 - (1157*t[84])/24 - 
       (55*t[85])/18 + (31*t[86])/3 - (601*t[87])/9 - (1327*t[88])/18 - 
       (521*t[89])/9 + (29*t[95])/3 + (86*t[96])/3 + 11*t[97] + 368*t[98] - 
       350*t[99] - 178*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*(18*t[2] + (81*t[3])/4 - (121*t[4])/2 + 
       (185*t[5])/8 + 59*t[6] + (253*t[7])/4 - (1421*t[8])/4 - (173*t[9])/8 - 
       (23*t[10])/4 - (463*t[11])/4 - (89*t[12])/8 + (10*t[13])/9 - 
       (2951*t[14])/24 - (3029*t[15])/48 - 8*t[25] + 8*t[26] - 40*t[27] - 
       10*t[28] - 12*t[30] + 16*t[32] + 6*t[35] + 60*t[36] - 24*t[37] + 
       8*t[39] + 3*t[41] - 3*t[42] + 2*t[43] + 70*t[44] - 24*t[45] + 
       56*t[47] - 80*t[48] + (15*t[49])/2 + 114*t[50] + (245*t[51])/4 - 
       114*t[52] - (15*t[53])/2 - 67*t[54] + 3*t[59] - (617*t[60])/2 - 
       (41*t[61])/2 - 219*t[62] + 91*t[63] - (9*t[64])/4 - (367*t[65])/3 - 
       265*t[66] + 60*t[73] - 72*t[74] - 82*t[75] - 10*t[77] - 8*t[78] - 
       10*t[79] + 80*t[80] + 67*t[81] - 95*t[82] + 64*t[83] - 55*t[84] - 
       (93*t[85])/2 + 94*t[86] + (481*t[87])/2 + (481*t[88])/4 - 
       (767*t[89])/4 - 84*t[99] - 168*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (-t[1] + 2*t[2] - 18*t[3] - 3*t[4] - (569*t[5])/12 - (19*t[6])/12 + 
       14*t[7] - 8*t[8] + (689*t[9])/12 - (128*t[10])/3 + (61*t[11])/4 + 
       (95*t[12])/12 + (65*t[13])/18 + (901*t[14])/36 - (17*t[15])/72 - 
       4*t[24] + (14*t[25])/3 - (8*t[26])/3 - (14*t[27])/3 + 4*t[29] - 
       4*t[33] + 6*t[36] + 2*t[37] - 2*t[38] - (2*t[39])/3 + 2*t[40] - 
       2*t[45] - 4*t[46] + 4*t[47] + (61*t[48])/12 - (28*t[49])/3 - 
       (59*t[50])/12 + (11*t[51])/4 + (59*t[52])/12 + (37*t[53])/3 + 
       (127*t[54])/12 + 2*t[59] - (41*t[60])/6 + (583*t[61])/6 - 
       (103*t[62])/12 + (439*t[63])/12 - (1493*t[64])/12 + (196*t[65])/9 - 
       (550*t[66])/9 - 2*t[69] + 2*t[72] + 2*t[74] - 4*t[75] - 6*t[76] - 
       2*t[77] - 2*t[78] - 4*t[79] + 4*t[80] - t[81] - (23*t[82])/3 + t[83] - 
       3*t[84] - (107*t[85])/6 + 20*t[86] + (29*t[87])/6 + (29*t[88])/12 - 
       (67*t[89])/12 + 4*t[95] + 8*t[99] - 166*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((199*t[1])/24 - (229*t[2])/24 - (21*t[3])/2 + (2669*t[4])/96 - 
       (1091*t[5])/96 - (443*t[6])/96 + (139*t[7])/12 + 2*t[8] + 
       (541*t[9])/32 - (367*t[10])/64 + (6223*t[11])/96 - (1195*t[12])/192 + 
       (17197*t[13])/288 + (28465*t[14])/1152 - (91*t[15])/48 + 4*t[19] - 
       4*t[20] - 4*t[21] + 2*t[22] + 4*t[23] + (2*t[24])/3 + (15*t[25])/2 - 
       (167*t[26])/12 + (9*t[27])/2 + t[28]/2 + t[30]/2 - (17*t[31])/6 + 
       (2*t[33])/3 - (5*t[34])/3 - t[35] + (57*t[36])/4 + (43*t[37])/12 + 
       (77*t[38])/12 + (11*t[39])/6 + (47*t[40])/12 - t[41]/6 + t[42]/6 + 
       t[43]/4 + 2*t[44] - (17*t[45])/12 + (5*t[46])/3 + (17*t[47])/6 - 
       (73*t[48])/32 + (7*t[49])/64 - (883*t[50])/96 + (1111*t[51])/384 + 
       (691*t[52])/96 + (201*t[53])/64 + (299*t[54])/24 - (5*t[58])/3 + 
       (29*t[59])/12 + (7567*t[60])/96 + (6997*t[61])/96 - (2139*t[62])/64 - 
       (2471*t[63])/192 - (4123*t[64])/192 - (10613*t[65])/288 - 
       (16817*t[66])/96 - (5*t[70])/6 + (5*t[71])/6 + (37*t[72])/6 - t[73] - 
       (55*t[74])/4 + t[75] + (167*t[76])/12 - (65*t[77])/12 - 
       (199*t[78])/12 - (41*t[80])/6 + (165*t[81])/8 - (165*t[82])/8 - 
       t[83]/3 + (667*t[84])/96 + (71*t[85])/32 - (9*t[86])/2 - 
       (1351*t[87])/32 - (4661*t[88])/192 - (3491*t[89])/192 - (7*t[95])/2 + 
       (29*t[96])/6 + (7*t[97])/2 + 58*t[98] - 103*t[99] - 141*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((-137*t[1])/6 + (11*t[2])/12 - (209*t[3])/48 - (2249*t[4])/24 + 
       (3541*t[5])/96 - (4793*t[6])/96 + (1171*t[7])/48 - (403*t[8])/48 + 
       (233*t[9])/96 - (1177*t[10])/48 - (4339*t[11])/96 - (289*t[12])/96 - 
       (55313*t[13])/864 + (24775*t[14])/288 + (1801*t[15])/64 - 
       (19*t[25])/3 + (65*t[26])/3 - 8*t[27] - 10*t[28] - (7*t[29])/2 - 
       t[30]/2 + (19*t[31])/3 - t[32] + t[33] - t[34]/6 + 8*t[35] + t[36]/2 - 
       (19*t[37])/6 - (55*t[38])/3 + (17*t[39])/6 + (71*t[40])/12 + 
       t[41]/12 - t[42]/12 + (13*t[43])/8 + (83*t[44])/4 + (179*t[45])/24 + 
       (11*t[46])/2 - (191*t[47])/12 + (11*t[48])/96 + (917*t[49])/24 - 
       (291*t[50])/32 - (2075*t[51])/96 + (19*t[52])/32 - (19*t[53])/8 + 
       (6233*t[54])/96 - (25*t[58])/6 + (107*t[59])/12 - (2251*t[60])/16 + 
       (3985*t[61])/48 - (2939*t[62])/32 + (7955*t[63])/32 - (643*t[64])/96 - 
       (1853*t[65])/144 + (29*t[66])/16 - 9*t[69] - (10*t[70])/3 + 
       (10*t[71])/3 - 16*t[72] - 15*t[73] + (31*t[74])/2 + 10*t[75] + 
       (251*t[76])/6 - (23*t[77])/6 - (239*t[78])/6 - 39*t[79] + 
       (81*t[80])/2 - (19*t[81])/12 + (119*t[82])/12 - (31*t[83])/3 - 
       (685*t[84])/16 - (239*t[85])/16 + (21*t[86])/4 - (4171*t[87])/48 - 
       (9323*t[88])/96 - (6767*t[89])/96 + 17*t[95] + (67*t[96])/3 + 
       (9*t[97])/2 + 312*t[98] - 262*t[99] - 128*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-55*t[1])/12 + (13*t[2])/2 - (27*t[3])/2 + (667*t[4])/48 - 
       (309*t[5])/8 + (755*t[6])/48 + (145*t[7])/24 + (1369*t[8])/24 + 
       (385*t[9])/8 - (935*t[10])/16 + (271*t[11])/12 + (1891*t[12])/48 + 
       (1169*t[13])/24 + (4283*t[14])/288 - (1147*t[15])/144 + (29*t[25])/3 - 
       t[26]/12 + (43*t[27])/3 + t[34] + (100*t[36])/3 + 9*t[37] - 
       (115*t[38])/12 + (40*t[39])/3 + 7*t[40] - t[41]/2 + t[42]/2 - 
       9*t[45] - (5*t[46])/4 + 18*t[47] + (739*t[48])/48 - (1175*t[49])/48 - 
       (461*t[50])/48 + (199*t[51])/32 + (797*t[52])/48 + (959*t[53])/48 + 
       (125*t[54])/4 + t[58] + (175*t[59])/24 + (445*t[60])/8 + 
       (175*t[61])/3 + (2021*t[62])/24 + 34*t[63] - (4637*t[64])/48 + 
       (3955*t[65])/48 - (14569*t[66])/144 - 2*t[72] + t[73]/2 - 
       (167*t[74])/6 + (29*t[75])/2 - 15*t[76] - 11*t[77] + 5*t[78] + 
       (11*t[79])/2 - 10*t[80] + (143*t[81])/12 + (53*t[82])/12 - 
       (89*t[83])/3 + (1273*t[84])/48 + (105*t[85])/16 - (71*t[86])/6 + 
       (811*t[87])/48 + (791*t[88])/96 + (371*t[89])/16 - (13*t[95])/3 - 
       6*t[96] - 5*t[97] - 96*t[98] - 12*t[99] - 112*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (-2*t[1] + 4*t[2] - 8*t[3] + 2*t[4] - (73*t[5])/6 - (5*t[6])/6 + 
       12*t[7] - 16*t[8] + (265*t[9])/6 - (32*t[10])/3 + (3*t[11])/2 + 
       (79*t[12])/6 + (205*t[13])/9 + (124*t[14])/9 - (253*t[15])/36 - 
       8*t[24] + (20*t[25])/3 - (8*t[26])/3 + (28*t[27])/3 - 8*t[33] + 
       20*t[36] + 4*t[37] - 4*t[38] + (28*t[39])/3 + 4*t[40] - 4*t[45] + 
       8*t[47] - t[48]/6 - (28*t[49])/3 - (25*t[50])/6 + 3*t[51] + 
       (25*t[52])/6 + (28*t[53])/3 + (89*t[54])/6 + 4*t[59] + (53*t[60])/3 + 
       (143*t[61])/3 + (67*t[62])/6 + (101*t[63])/6 - (127*t[64])/6 + 
       (256*t[65])/9 - (568*t[66])/9 - 20*t[74] - 4*t[77] - 4*t[78] + 
       10*t[81] - (2*t[82])/3 + 4*t[84] - (19*t[85])/3 + 8*t[86] + 
       (7*t[87])/3 + (7*t[88])/6 - (5*t[89])/6 - 8*t[95] - 48*t[99] - 
       96*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-2*t[1] + 6*t[2] - 10*t[3] - 14*t[4] - (85*t[5])/6 + (7*t[6])/6 + 
       16*t[7] - 34*t[8] + (361*t[9])/6 - (14*t[10])/3 - (49*t[11])/2 + 
       (103*t[12])/6 + (241*t[13])/9 + (229*t[14])/9 - (301*t[15])/36 - 
       12*t[24] + (44*t[25])/3 - (32*t[26])/3 + (4*t[27])/3 - 12*t[33] + 
       20*t[36] + 4*t[37] - 4*t[38] + (4*t[39])/3 + 4*t[40] - 4*t[45] + 
       8*t[47] - (25*t[48])/6 - (52*t[49])/3 - (25*t[50])/6 + 4*t[51] + 
       (25*t[52])/6 + (52*t[53])/3 + (161*t[54])/6 + 4*t[59] + (77*t[60])/3 + 
       (131*t[61])/3 + (43*t[62])/6 + (125*t[63])/6 - (139*t[64])/6 + 
       (304*t[65])/9 - (616*t[66])/9 - 20*t[74] - 4*t[77] - 4*t[78] + 
       10*t[81] - (86*t[82])/3 + 4*t[84] + (5*t[85])/3 + 8*t[86] - 
       (17*t[87])/3 - (17*t[88])/6 + (7*t[89])/6 - 8*t[95] - 48*t[99] - 
       96*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*Omega2[w, u, v]*
      (-2*t[1] - (3*t[2])/2 - (7*t[3])/2 + 8*t[4] - (49*t[5])/4 + 
       (45*t[6])/4 + 2*t[7] + 7*t[8] + (47*t[9])/4 - (35*t[10])/2 + 
       (9*t[11])/4 + (23*t[12])/4 + (985*t[13])/36 + (9*t[14])/2 - 
       (121*t[15])/24 + 8*t[25] - 4*t[26] - 2*t[35] + 20*t[36] + 2*t[37] - 
       4*t[38] + 4*t[39] + 4*t[40] - 6*t[45] - t[46] + 12*t[47] + 
       (7*t[48])/4 - (7*t[49])/2 - (13*t[50])/4 + (11*t[51])/2 + 
       (13*t[52])/4 + (7*t[53])/2 + (45*t[54])/4 + 4*t[59] + (17*t[60])/2 + 
       (91*t[61])/2 + (3*t[62])/4 + (109*t[63])/4 - (149*t[64])/4 + 
       (67*t[65])/6 - (445*t[66])/6 - 18*t[74] - 4*t[77] - 4*t[78] + 
       8*t[80] + 10*t[81] - 12*t[82] + t[83] + t[84]/2 - (5*t[85])/2 + 
       8*t[86] + (15*t[87])/2 + (15*t[88])/4 - (39*t[89])/4 - 4*t[95] - 
       48*t[99] - 84*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-3*t[1])/2 - 3*t[3] + (3*t[4])/2 - 
       (235*t[5])/24 + t[6]/24 + 3*t[7] + 15*t[8] + (307*t[9])/24 - 
       (29*t[10])/3 + (41*t[11])/8 + (181*t[12])/24 + (871*t[13])/36 + 
       (239*t[14])/18 - (559*t[15])/144 + (35*t[25])/3 - (26*t[26])/3 + 
       t[27]/3 + 15*t[36] + 3*t[37] - 3*t[38] + t[39]/3 + 3*t[40] - 3*t[45] + 
       6*t[47] + (53*t[48])/24 - (7*t[49])/3 - (163*t[50])/24 + (3*t[51])/4 + 
       (163*t[52])/24 + (7*t[53])/3 + (275*t[54])/24 + 3*t[59] + 
       (215*t[60])/12 + (485*t[61])/12 + (145*t[62])/24 + (359*t[63])/24 - 
       (325*t[64])/24 + (136*t[65])/9 - (538*t[66])/9 - 15*t[74] - 3*t[77] - 
       3*t[78] + (15*t[81])/2 - (43*t[82])/6 + 3*t[84] - t[85]/12 + 6*t[86] - 
       (35*t[87])/12 - (35*t[88])/24 - (71*t[89])/24 - 6*t[95] - 36*t[99] - 
       72*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-25*t[1])/12 + (23*t[2])/3 - (35*t[3])/6 - (149*t[4])/12 + 
       (221*t[5])/144 + (1537*t[6])/144 - t[7] - (61*t[8])/6 + 
       (2779*t[9])/144 - (707*t[10])/18 - (165*t[11])/16 + (2341*t[12])/144 + 
       (6205*t[13])/216 - (1867*t[14])/108 + (5009*t[15])/864 + 4*t[19] + 
       4*t[20] + 4*t[21] - 4*t[22] - 4*t[23] - (19*t[24])/3 + (83*t[25])/18 - 
       (31*t[26])/9 - (71*t[27])/18 + 2*t[29] - 2*t[32] - (13*t[33])/3 + 
       t[34] + (35*t[36])/6 - (5*t[37])/6 - (13*t[38])/6 - (53*t[39])/18 + 
       (19*t[40])/6 + (3*t[41])/2 - (3*t[42])/2 - (31*t[45])/6 + 
       (19*t[47])/3 + (581*t[48])/144 - (217*t[49])/18 + (701*t[50])/144 + 
       (85*t[51])/8 - (269*t[52])/144 + (145*t[53])/18 + (2147*t[54])/144 + 
       (79*t[59])/6 + (7283*t[60])/72 + (761*t[61])/72 + (9901*t[62])/144 + 
       (12299*t[63])/144 - (15097*t[64])/144 + (7418*t[65])/27 + 
       (4996*t[66])/27 + 8*t[70] - 8*t[71] + 2*t[72] - (59*t[74])/6 - 
       12*t[76] - (19*t[77])/6 + (53*t[78])/6 + 24*t[80] + (107*t[81])/12 - 
       (187*t[82])/36 - 2*t[83] + (553*t[84])/6 + (1523*t[85])/72 + 
       (43*t[86])/3 - (5639*t[87])/72 - (455*t[88])/144 + (9637*t[89])/144 + 
       (17*t[95])/3 - 6*t[96] + 4*t[97] - 48*t[98] + 34*t[99] - 64*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
      (-8*t[1] + (9*t[2])/2 - (197*t[3])/8 - (135*t[4])/8 - (205*t[5])/3 + 
       (2045*t[6])/96 + (611*t[7])/16 + (199*t[8])/16 + (2765*t[9])/24 + 
       (887*t[10])/48 - (541*t[11])/32 + (485*t[12])/24 + (87*t[13])/4 + 
       (7649*t[14])/144 - t[15]/6 - 8*t[24] + (145*t[25])/12 - 
       (43*t[26])/12 + (8*t[27])/3 - 8*t[28] - t[29] + t[30] - 4*t[31] - 
       2*t[32] - 6*t[33] + 4*t[34] - 4*t[35] + 17*t[36] + (3*t[37])/4 - 
       (21*t[38])/2 - (7*t[39])/3 + (3*t[40])/2 - 2*t[41] + 2*t[42] + 
       2*t[43] + (15*t[44])/2 - 5*t[45] - (93*t[46])/8 + 8*t[47] + 
       (61*t[48])/96 - (1157*t[49])/48 - (1067*t[50])/96 + (75*t[51])/16 + 
       (1259*t[52])/96 + (599*t[53])/48 + (5365*t[54])/96 + (203*t[59])/24 + 
       (3313*t[60])/48 + (2969*t[61])/24 - (247*t[62])/96 + (9775*t[63])/96 - 
       (887*t[64])/24 + (16685*t[65])/144 - (4949*t[66])/144 + 2*t[70] - 
       2*t[71] + 2*t[72] + (43*t[73])/4 - (43*t[74])/4 - (73*t[75])/4 - 
       12*t[76] - t[77] + 22*t[78] - (23*t[79])/4 - 2*t[80] + (113*t[81])/8 - 
       (299*t[82])/24 - 21*t[83] + (535*t[84])/16 + (293*t[85])/24 + 
       (205*t[86])/4 - (763*t[87])/48 + (149*t[88])/96 + (1733*t[89])/96 - 
       6*t[95] - 14*t[96] - 7*t[97] - 64*t[98] + 12*t[99] - (125*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*
      ((3*t[1])/2 + 3*t[2] - t[3] + (95*t[4])/8 - (1787*t[5])/96 + 
       (815*t[6])/24 - (95*t[7])/16 + (1089*t[8])/16 - (1789*t[9])/96 - 
       (3235*t[10])/48 + (445*t[11])/16 + (2471*t[12])/96 + (595*t[13])/18 - 
       (2545*t[14])/576 - (1103*t[15])/576 + 4*t[24] + (16*t[25])/3 - 
       t[26]/3 + (14*t[27])/3 + 8*t[28] + 2*t[29] + 2*t[31] + 2*t[32] + 
       2*t[33] - 2*t[34] + 4*t[35] + (57*t[36])/4 - 3*t[37] - 3*t[38] + 
       (23*t[39])/3 + t[41] - t[42] - (13*t[43])/4 + 4*t[44] - 9*t[45] + 
       10*t[46] + 20*t[47] + (241*t[48])/24 - (233*t[49])/12 + 
       (73*t[50])/24 + (1001*t[51])/64 + (119*t[52])/24 + (227*t[53])/12 + 
       (1379*t[54])/48 + 2*t[58] + t[59]/2 - (205*t[60])/6 - 
       (1207*t[61])/24 + (1637*t[62])/96 - (4541*t[63])/96 + 
       (1349*t[64])/48 + (2291*t[65])/144 - (4847*t[66])/144 + 2*t[69] + 
       2*t[70] - 2*t[71] + 2*t[72] + (51*t[73])/4 - 17*t[74] - 
       (113*t[75])/4 - 8*t[76] - 5*t[77] - (3*t[79])/4 - 2*t[80] - t[81]/2 - 
       (47*t[82])/6 - (121*t[83])/4 - (183*t[84])/16 - (1097*t[85])/48 - 
       (31*t[86])/4 + (707*t[87])/12 + (935*t[88])/24 + (131*t[89])/24 - 
       6*t[95] - 2*t[96] - t[97] - 64*t[98] + 12*t[99] - (125*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((11*t[1])/4 - 2*t[3] - (879*t[4])/16 - (23*t[5])/3 - (103*t[6])/48 + 
       (3*t[7])/8 + (67*t[8])/8 + (29*t[9])/3 + (139*t[10])/48 - 
       (223*t[11])/8 + (473*t[12])/48 - (625*t[13])/72 + (2759*t[14])/288 + 
       (61*t[15])/18 + (20*t[25])/3 - (101*t[26])/12 + (4*t[27])/3 + 
       19*t[36] + 2*t[37] + (7*t[38])/4 + (4*t[39])/3 + 2*t[40] - 2*t[45] + 
       (7*t[46])/4 + 4*t[47] - (23*t[48])/48 - (79*t[49])/48 - 
       (311*t[50])/48 + (259*t[51])/32 + (311*t[52])/48 + (391*t[53])/48 + 
       (947*t[54])/24 + t[59]/8 - (1655*t[60])/24 + (269*t[61])/12 + 
       (95*t[62])/12 + (1943*t[63])/24 + (2569*t[64])/48 + (3505*t[65])/144 - 
       (4753*t[66])/144 - 2*t[69] - (7*t[73])/2 - (31*t[74])/2 + 
       (21*t[75])/2 - 2*t[77] - 2*t[78] + (7*t[79])/2 + (31*t[81])/4 - 
       (77*t[82])/12 - 5*t[83] - (453*t[84])/16 - (1249*t[85])/48 - 
       (5*t[86])/2 + (1591*t[87])/48 + (1795*t[88])/96 - (1561*t[89])/48 + 
       7*t[95] - 24*t[99] - 54*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-35*t[1])/8 - (7*t[2])/8 - (19*t[3])/3 + (2861*t[4])/96 + 
       (3185*t[5])/288 - (899*t[6])/288 - (65*t[7])/12 + (37*t[8])/3 - 
       (2309*t[9])/288 + (2167*t[10])/576 + (1715*t[11])/96 + 
       (1157*t[12])/576 + (4199*t[13])/288 + (50735*t[14])/3456 + 
       (365*t[15])/108 + 4*t[19] + 4*t[20] + 4*t[21] - 2*t[22] - 4*t[23] - 
       (2*t[24])/3 - (59*t[25])/18 + (277*t[26])/36 + (5*t[27])/18 - 
       t[28]/2 - t[30]/2 + (17*t[31])/6 - (2*t[33])/3 - (5*t[34])/3 + t[35] + 
       (5*t[36])/12 - (37*t[37])/12 - (53*t[38])/12 + (83*t[39])/18 + 
       t[40]/4 + (23*t[41])/6 - (23*t[42])/6 - t[43]/4 - 2*t[44] - 
       (7*t[45])/4 - 7*t[46] + (7*t[47])/2 - (43*t[48])/288 + 
       (13901*t[49])/576 - (1459*t[50])/288 - (3209*t[51])/384 + 
       (883*t[52])/288 - (11549*t[53])/576 - (1745*t[54])/144 - (5*t[58])/3 + 
       6*t[59] + (3811*t[60])/288 + (20347*t[61])/288 - (11599*t[62])/576 + 
       (10927*t[63])/576 - (10733*t[64])/576 - (2563*t[65])/864 + 
       (3823*t[66])/864 - (5*t[70])/6 + (5*t[71])/6 + (5*t[72])/2 - t[73] + 
       t[74]/12 + t[75] + (133*t[76])/12 + (13*t[77])/12 - (101*t[78])/12 - 
       t[79] + (41*t[80])/2 + (83*t[81])/8 + (977*t[82])/72 - t[83]/3 + 
       (203*t[84])/96 - (3245*t[85])/288 + (19*t[86])/6 - (5875*t[87])/288 - 
       (8851*t[88])/576 - (1267*t[89])/576 + (23*t[95])/6 + (29*t[96])/6 + 
       (7*t[97])/2 + 58*t[98] - 59*t[99] - 53*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*(-t[1] - 3*t[2] + t[3] + 
       5*t[4] - (59*t[5])/12 + (233*t[6])/12 - t[7] - 19*t[8] - 
       (49*t[9])/12 - (17*t[10])/3 - (51*t[11])/4 - (103*t[12])/12 + 
       22*t[13] - (95*t[14])/9 - (383*t[15])/72 + (26*t[25])/3 - 
       (20*t[26])/3 - (26*t[27])/3 - 4*t[35] + 18*t[36] - 2*t[37] - 2*t[38] - 
       (2*t[39])/3 + 2*t[40] - 6*t[45] + 12*t[47] - (47*t[48])/12 + 
       (8*t[49])/3 + (97*t[50])/12 + (17*t[51])/2 - (97*t[52])/12 - 
       (8*t[53])/3 - (17*t[54])/12 + 2*t[59] - (149*t[60])/6 + (73*t[61])/6 - 
       (211*t[62])/12 + (235*t[63])/12 - (149*t[64])/12 - (77*t[65])/9 - 
       (469*t[66])/9 - 18*t[74] - 2*t[77] - 2*t[78] - 4*t[79] + 16*t[80] + 
       13*t[81] - (65*t[82])/3 + 8*t[83] - 7*t[84] - (41*t[85])/6 + 
       16*t[86] + (137*t[87])/6 + (137*t[88])/12 - (247*t[89])/12 - 4*t[95] - 
       24*t[99] - 48*t[100])*\[Zeta][2] + HPL[{0, 0, 0, 0, 1}, 1 - v]*
      (-t[1] - 16*t[2] - 2*t[3] + 5*t[4] - (73*t[5])/12 - (173*t[6])/12 + 
       50*t[7] - 38*t[8] - (71*t[9])/12 - (130*t[10])/3 - (45*t[11])/4 - 
       (137*t[12])/12 - (107*t[13])/18 - (181*t[14])/9 + (107*t[15])/72 + 
       16*t[23] + (10*t[25])/3 - (4*t[26])/3 + (14*t[27])/3 + 10*t[36] + 
       2*t[37] - 2*t[38] + (14*t[39])/3 + 18*t[40] - 8*t[41] + 8*t[42] - 
       2*t[45] + 4*t[47] + (23*t[48])/12 + (46*t[49])/3 - (49*t[50])/12 - 
       (15*t[51])/2 - (335*t[52])/12 - (46*t[53])/3 + (65*t[54])/12 + 
       2*t[59] - (115*t[60])/6 - (25*t[61])/6 + (811*t[62])/12 + 
       (893*t[63])/12 + (473*t[64])/12 - (292*t[65])/9 - (68*t[66])/9 - 
       10*t[74] - 18*t[77] - 2*t[78] + 5*t[81] - t[82]/3 - 14*t[84] + 
       (5*t[85])/6 + 4*t[86] + (175*t[87])/6 + (175*t[88])/12 - 
       (221*t[89])/12 - 4*t[95] - 24*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (-t[1] - 6*t[2] + 4*t[3] - t[4] - (121*t[5])/12 + (43*t[6])/12 - 
       10*t[7] + 64*t[8] - (359*t[9])/12 - (16*t[10])/3 + (11*t[11])/4 + 
       (31*t[12])/12 + (313*t[13])/18 + (56*t[14])/9 - (13*t[15])/72 + 
       12*t[24] + (22*t[25])/3 - (16*t[26])/3 + (2*t[27])/3 + 12*t[33] + 
       10*t[36] + 2*t[37] - 2*t[38] + (2*t[39])/3 + 2*t[40] - 2*t[45] + 
       4*t[47] + (47*t[48])/12 + (10*t[49])/3 - (169*t[50])/12 - 
       (5*t[51])/2 + (169*t[52])/12 - (10*t[53])/3 + (233*t[54])/12 + 
       2*t[59] + (101*t[60])/6 + (167*t[61])/6 + (19*t[62])/12 + 
       (149*t[63])/12 - (103*t[64])/12 + (80*t[65])/9 - (428*t[66])/9 - 
       10*t[74] - 2*t[77] - 2*t[78] + 5*t[81] - t[82]/3 + 2*t[84] + 
       (29*t[85])/6 + 4*t[86] - (41*t[87])/6 - (41*t[88])/12 - 
       (29*t[89])/12 - 4*t[95] - 24*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 0, 0, 1}, 1 - u]*(-7*t[1] + 16*t[2] - 18*t[3] + t[4] - 
       (265*t[5])/12 + (403*t[6])/12 + 34*t[7] + 42*t[8] + (481*t[9])/12 - 
       (10*t[10])/3 + (147*t[11])/4 + (223*t[12])/12 - (239*t[13])/18 + 
       (245*t[14])/9 + (203*t[15])/72 - 16*t[23] + (10*t[25])/3 - 
       (4*t[26])/3 + (14*t[27])/3 + 10*t[36] + 2*t[37] - 16*t[38] + 
       (14*t[39])/3 + 2*t[40] + 8*t[41] - 8*t[42] - 2*t[45] + 4*t[47] + 
       (215*t[48])/12 - (2*t[49])/3 + (143*t[50])/12 + t[51]/2 - 
       (143*t[52])/12 + (2*t[53])/3 - (79*t[54])/12 + 16*t[59] + 
       (77*t[60])/6 + (263*t[61])/6 - (5*t[62])/12 + (173*t[63])/12 + 
       (617*t[64])/12 + (56*t[65])/9 - (380*t[66])/9 - 10*t[74] - 2*t[77] - 
       2*t[78] + 5*t[81] - t[82]/3 + 2*t[84] + (5*t[85])/6 + 4*t[86] - 
       (17*t[87])/6 - (17*t[88])/12 - (29*t[89])/12 - 4*t[95] - 24*t[99] - 
       48*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      (-t[1] - 2*t[3] + 5*t[4] - (73*t[5])/12 - (5*t[6])/12 + 2*t[7] + 
       10*t[8] + (97*t[9])/12 - (22*t[10])/3 + (35*t[11])/4 + (55*t[12])/12 + 
       (229*t[13])/18 + (41*t[14])/9 - (181*t[15])/72 + (10*t[25])/3 - 
       (4*t[26])/3 + (14*t[27])/3 + 10*t[36] + 2*t[37] - 2*t[38] + 
       (14*t[39])/3 + 2*t[40] - 2*t[45] + 4*t[47] + (23*t[48])/12 - 
       (2*t[49])/3 - (49*t[50])/12 + t[51]/2 + (49*t[52])/12 + (2*t[53])/3 + 
       (65*t[54])/12 + 2*t[59] + (77*t[60])/6 + (167*t[61])/6 + 
       (43*t[62])/12 + (125*t[63])/12 - (103*t[64])/12 + (80*t[65])/9 - 
       (380*t[66])/9 - 10*t[74] - 2*t[77] - 2*t[78] + 5*t[81] - t[82]/3 + 
       2*t[84] + (5*t[85])/6 + 4*t[86] - (17*t[87])/6 - (17*t[88])/12 - 
       (29*t[89])/12 - 4*t[95] - 24*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*(-t[1] - 2*t[3] + 5*t[4] - 
       (73*t[5])/12 - (5*t[6])/12 + 2*t[7] + 10*t[8] + (97*t[9])/12 - 
       (22*t[10])/3 + (35*t[11])/4 + (55*t[12])/12 + (229*t[13])/18 + 
       (41*t[14])/9 - (181*t[15])/72 + (10*t[25])/3 - (4*t[26])/3 + 
       (14*t[27])/3 + 10*t[36] + 2*t[37] - 2*t[38] + (14*t[39])/3 + 2*t[40] - 
       2*t[45] + 4*t[47] + (23*t[48])/12 - (2*t[49])/3 - (49*t[50])/12 + 
       t[51]/2 + (49*t[52])/12 + (2*t[53])/3 + (65*t[54])/12 + 2*t[59] + 
       (77*t[60])/6 + (167*t[61])/6 + (43*t[62])/12 + (125*t[63])/12 - 
       (103*t[64])/12 + (80*t[65])/9 - (380*t[66])/9 - 10*t[74] - 2*t[77] - 
       2*t[78] + 5*t[81] - t[82]/3 + 2*t[84] + (5*t[85])/6 + 4*t[86] - 
       (17*t[87])/6 - (17*t[88])/12 - (29*t[89])/12 - 4*t[95] - 24*t[99] - 
       48*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      (-t[1] - 2*t[3] + 5*t[4] - (73*t[5])/12 - (5*t[6])/12 + 2*t[7] + 
       10*t[8] + (97*t[9])/12 - (22*t[10])/3 + (35*t[11])/4 + (55*t[12])/12 + 
       (229*t[13])/18 + (41*t[14])/9 - (181*t[15])/72 + (10*t[25])/3 - 
       (4*t[26])/3 + (14*t[27])/3 + 10*t[36] + 2*t[37] - 2*t[38] + 
       (14*t[39])/3 + 2*t[40] - 2*t[45] + 4*t[47] + (23*t[48])/12 - 
       (2*t[49])/3 - (49*t[50])/12 + t[51]/2 + (49*t[52])/12 + (2*t[53])/3 + 
       (65*t[54])/12 + 2*t[59] + (77*t[60])/6 + (167*t[61])/6 + 
       (43*t[62])/12 + (125*t[63])/12 - (103*t[64])/12 + (80*t[65])/9 - 
       (380*t[66])/9 - 10*t[74] - 2*t[77] - 2*t[78] + 5*t[81] - t[82]/3 + 
       2*t[84] + (5*t[85])/6 + 4*t[86] - (17*t[87])/6 - (17*t[88])/12 - 
       (29*t[89])/12 - 4*t[95] - 24*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 0, 0, 1}, 1 - w]*(-t[1] - 2*t[3] + 5*t[4] - (73*t[5])/12 - 
       (5*t[6])/12 + 2*t[7] + 10*t[8] + (97*t[9])/12 - (22*t[10])/3 + 
       (35*t[11])/4 + (55*t[12])/12 + (229*t[13])/18 + (41*t[14])/9 - 
       (181*t[15])/72 + (10*t[25])/3 - (4*t[26])/3 + (14*t[27])/3 + 
       10*t[36] + 2*t[37] - 2*t[38] + (14*t[39])/3 + 2*t[40] - 2*t[45] + 
       4*t[47] + (23*t[48])/12 - (2*t[49])/3 - (49*t[50])/12 + t[51]/2 + 
       (49*t[52])/12 + (2*t[53])/3 + (65*t[54])/12 + 2*t[59] + (77*t[60])/6 + 
       (167*t[61])/6 + (43*t[62])/12 + (125*t[63])/12 - (103*t[64])/12 + 
       (80*t[65])/9 - (380*t[66])/9 - 10*t[74] - 2*t[77] - 2*t[78] + 
       5*t[81] - t[82]/3 + 2*t[84] + (5*t[85])/6 + 4*t[86] - (17*t[87])/6 - 
       (17*t[88])/12 - (29*t[89])/12 - 4*t[95] - 24*t[99] - 48*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-t[1] - 2*t[3] - t[4] - (27*t[5])/4 + t[6]/4 + 2*t[7] + 10*t[8] + 
       (35*t[9])/4 - 6*t[10] + (3*t[11])/4 + (21*t[12])/4 + (107*t[13])/6 + 
       11*t[14] - (21*t[15])/8 + 10*t[25] - 8*t[26] - 2*t[27] + 10*t[36] + 
       2*t[37] - 2*t[38] - 2*t[39] + 2*t[40] - 2*t[45] + 4*t[47] + 
       (5*t[48])/4 - 2*t[49] - (19*t[50])/4 + t[51]/2 + (19*t[52])/4 + 
       2*t[53] + (35*t[54])/4 + 2*t[59] + (23*t[60])/2 + (53*t[61])/2 + 
       (17*t[62])/4 + (39*t[63])/4 - (37*t[64])/4 + (32*t[65])/3 - 
       (116*t[66])/3 - 10*t[74] - 2*t[77] - 2*t[78] + 5*t[81] - 7*t[82] + 
       2*t[84] - t[85]/2 + 4*t[86] - (3*t[87])/2 - (3*t[88])/4 - 
       (7*t[89])/4 - 4*t[95] - 24*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*Omega2[v, w, u]*(-t[1] - 2*t[3] - (85*t[5])/12 + 
       (7*t[6])/12 + 2*t[7] + 10*t[8] + (109*t[9])/12 - (16*t[10])/3 + 
       (3*t[11])/4 + (67*t[12])/12 + (247*t[13])/18 + (68*t[14])/9 - 
       (193*t[15])/72 + (16*t[25])/3 - (10*t[26])/3 + (8*t[27])/3 + 
       10*t[36] + 2*t[37] - 2*t[38] + (8*t[39])/3 + 2*t[40] - 2*t[45] + 
       4*t[47] + (11*t[48])/12 - (8*t[49])/3 - (61*t[50])/12 + t[51]/2 + 
       (61*t[52])/12 + (8*t[53])/3 + (125*t[54])/12 + 2*t[59] + 
       (89*t[60])/6 + (155*t[61])/6 + (31*t[62])/12 + (137*t[63])/12 - 
       (115*t[64])/12 + (104*t[65])/9 - (380*t[66])/9 - 10*t[74] - 2*t[77] - 
       2*t[78] + 5*t[81] - (19*t[82])/3 + 2*t[84] + (17*t[85])/6 + 4*t[86] - 
       (29*t[87])/6 - (29*t[88])/12 - (17*t[89])/12 - 4*t[95] - 24*t[99] - 
       48*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*Omega2[u, v, w]*
      (-2*t[1] + t[2]/2 - (17*t[3])/2 + 10*t[4] - (365*t[5])/12 + 
       (53*t[6])/12 + 15*t[7] - 4*t[8] + (563*t[9])/12 + (47*t[10])/6 + 
       (7*t[11])/4 + (155*t[12])/12 + (715*t[13])/36 + (70*t[14])/9 - 
       (581*t[15])/72 - 4*t[24] + (20*t[25])/3 - (8*t[26])/3 + (4*t[27])/3 - 
       4*t[28] - 4*t[33] - 2*t[35] + 12*t[36] + 2*t[37] - 4*t[38] + 
       (4*t[39])/3 - 2*t[45] - 5*t[46] + 4*t[47] - (53*t[48])/12 - 
       (47*t[49])/6 - (89*t[50])/12 + t[51] + (89*t[52])/12 + (47*t[53])/6 + 
       (169*t[54])/12 + 4*t[59] + (217*t[60])/6 + (271*t[61])/6 - 
       (193*t[62])/12 + (97*t[63])/12 - (209*t[64])/12 + (239*t[65])/18 - 
       (917*t[66])/18 - 10*t[74] - 4*t[78] + 6*t[81] - (20*t[82])/3 + 
       5*t[83] + (7*t[84])/2 + (55*t[85])/6 + 24*t[86] - (85*t[87])/6 - 
       (85*t[88])/12 + (29*t[89])/12 - 4*t[95] - 24*t[99] - 48*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      (-t[1] + 5*t[2] - 7*t[3] - 7*t[4] - (95*t[5])/12 - (235*t[6])/12 + 
       9*t[7] + 21*t[8] + (419*t[9])/12 - (17*t[10])/3 + (49*t[11])/4 + 
       (245*t[12])/12 + (95*t[13])/9 + (286*t[14])/9 - (59*t[15])/72 - 
       4*t[24] + (26*t[25])/3 - (20*t[26])/3 + (22*t[27])/3 - 4*t[33] + 
       4*t[35] + 2*t[36] + 6*t[37] - 2*t[38] - (2*t[39])/3 + 2*t[40] + 
       2*t[45] - 4*t[47] + (61*t[48])/12 - (28*t[49])/3 - (179*t[50])/12 - 
       (13*t[51])/2 + (179*t[52])/12 + (28*t[53])/3 + (211*t[54])/12 + 
       2*t[59] + (295*t[60])/6 + (253*t[61])/6 + (305*t[62])/12 + 
       (7*t[63])/12 - (65*t[64])/12 + (253*t[65])/9 - (259*t[66])/9 - 
       2*t[74] - 2*t[77] - 2*t[78] + 4*t[79] - 16*t[80] - 3*t[81] + 
       (7*t[82])/3 - 8*t[83] + 11*t[84] + (43*t[85])/6 - 8*t[86] - 
       (163*t[87])/6 - (163*t[88])/12 + (197*t[89])/12 - 4*t[95] - 24*t[99] - 
       48*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*((-17*t[1])/4 + 2*t[2] + (43*t[3])/6 - 
       (425*t[4])/16 + (539*t[5])/16 - (35*t[6])/8 + (7*t[7])/24 + 
       (551*t[8])/24 - (1673*t[9])/48 - (1291*t[10])/48 + (119*t[11])/48 + 
       (107*t[12])/24 - (227*t[13])/18 + (52*t[14])/9 + (4645*t[15])/288 + 
       2*t[24] + (11*t[25])/3 + (13*t[26])/12 - t[27] + 2*t[28] + t[31] + 
       2*t[33] + 3*t[35] - (25*t[36])/6 - 3*t[37] - (15*t[38])/4 + t[39] + 
       t[40] + 2*t[44] + 3*t[45] + (99*t[46])/4 - 6*t[47] + (73*t[48])/8 + 
       (157*t[49])/48 + (35*t[50])/24 - (1067*t[51])/48 - (35*t[52])/24 - 
       (313*t[53])/48 + (727*t[54])/48 - (59*t[59])/24 - (377*t[60])/12 + 
       (43*t[61])/12 + (169*t[62])/24 + (15*t[63])/2 + (3827*t[64])/48 - 
       (3505*t[65])/144 + (1235*t[66])/48 - 11*t[69] + t[70] - t[71] - 
       t[73]/2 + (56*t[74])/3 - (11*t[75])/2 - 4*t[76] - 3*t[77] + t[78] + 
       (31*t[79])/2 - 5*t[80] - (65*t[81])/6 + (47*t[82])/6 - (16*t[83])/3 - 
       (445*t[84])/48 - (371*t[85])/16 - (43*t[86])/6 + (341*t[87])/16 + 
       (907*t[88])/96 + (97*t[89])/12 + (20*t[95])/3 - 24*t[98] + 38*t[99] - 
       48*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
      ((3*t[3])/2 - (71*t[4])/3 + (331*t[5])/24 + 2*t[6] + (19*t[7])/6 + 
       (20*t[8])/3 - (397*t[9])/24 + (61*t[10])/6 + (125*t[11])/12 + 
       (433*t[12])/24 - (38*t[13])/9 + (1429*t[14])/144 + (57*t[15])/16 - 
       2*t[31] + 2*t[35] + t[36] + (13*t[43])/4 + (13*t[45])/2 - t[46] - 
       13*t[47] + t[48]/2 - (31*t[49])/3 + (3*t[50])/2 + (43*t[51])/16 - 
       (3*t[52])/2 + (31*t[53])/3 - (9*t[54])/4 - (32*t[60])/3 + 
       (49*t[61])/2 - (1309*t[62])/24 - (19*t[63])/24 + (505*t[64])/12 + 
       (47*t[65])/36 - (1399*t[66])/36 + 33*t[73] - 45*t[75] + t[79] - 
       t[81] + t[82] - (29*t[83])/3 + (9*t[84])/4 - (5*t[85])/4 + 
       (83*t[86])/3 + (41*t[87])/3 + (41*t[88])/6 - (53*t[89])/2 - 4*t[99] - 
       44*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-14*t[1])/3 - (5*t[3])/6 - (59*t[4])/6 - (65*t[5])/12 - (29*t[6])/8 + 
       (53*t[7])/4 - (325*t[8])/12 + (45*t[9])/4 - t[10]/4 + (689*t[11])/24 + 
       (167*t[12])/12 + (275*t[13])/36 + (55*t[14])/36 + (253*t[15])/72 + 
       (17*t[25])/3 - 3*t[29] + 2*t[31] - 2*t[35] - 4*t[36] - 3*t[37] - 
       (11*t[38])/3 - 2*t[40] + (13*t[44])/2 + 2*t[45] + (7*t[46])/2 - 
       4*t[47] - (37*t[48])/8 + (101*t[49])/12 + (89*t[50])/24 - 
       (17*t[51])/12 - (89*t[52])/24 - (23*t[53])/12 - (131*t[54])/24 - 
       (7*t[59])/6 - (9*t[60])/4 - (65*t[61])/6 - (231*t[62])/8 - 
       (1099*t[63])/24 + (338*t[64])/3 + (67*t[65])/12 - (563*t[66])/12 - 
       8*t[69] + 2*t[70] - 2*t[71] + 33*t[73] + 17*t[74] - 37*t[75] + 
       2*t[77] + 2*t[78] + 17*t[79] - 4*t[80] + (3*t[81])/2 - (3*t[82])/2 - 
       (68*t[83])/3 + (49*t[84])/12 + (2*t[85])/3 - t[86]/3 - (29*t[87])/4 - 
       (29*t[88])/8 + (59*t[89])/8 - 4*t[99] - 44*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*((-19*t[1])/24 - (41*t[2])/12 - 
       (2*t[3])/3 + (169*t[4])/24 - (5563*t[5])/288 - (527*t[6])/288 - 
       (37*t[7])/4 + (71*t[8])/3 - (2597*t[9])/288 + (1685*t[10])/72 - 
       (317*t[11])/32 - (3071*t[12])/288 + (2671*t[13])/432 + 
       (9349*t[14])/432 - (7327*t[15])/1728 + (41*t[24])/6 + (311*t[25])/36 - 
       (127*t[26])/18 - (47*t[27])/36 + (41*t[33])/6 + (95*t[36])/12 + 
       (19*t[37])/12 - (19*t[38])/12 - (83*t[39])/36 + (19*t[40])/12 - 
       (19*t[45])/12 - 4*t[46] + (19*t[47])/6 - (883*t[48])/288 + 
       (913*t[49])/72 - (1627*t[50])/288 - (41*t[51])/8 + (1627*t[52])/288 - 
       (841*t[53])/72 + (2771*t[54])/288 + (127*t[59])/12 + 
       (7961*t[60])/144 + (5615*t[61])/144 + (16387*t[62])/288 + 
       (18341*t[63])/288 - (54667*t[64])/288 + (4871*t[65])/216 - 
       (12185*t[66])/216 - 2*t[72] + 6*t[73] - (47*t[74])/12 + 6*t[75] + 
       6*t[76] - (19*t[77])/12 - (115*t[78])/12 - 4*t[79] + 10*t[80] + 
       (215*t[81])/24 - (427*t[82])/72 + 16*t[83] + (269*t[84])/24 + 
       (4865*t[85])/144 + (139*t[86])/6 - (8837*t[87])/144 - 
       (8837*t[88])/288 - (14801*t[89])/288 - (19*t[95])/6 - 31*t[99] - 
       37*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((95*t[1])/6 - (59*t[2])/3 + (47*t[3])/6 + 
       (2003*t[4])/24 + (313*t[5])/6 - (209*t[6])/4 + 22*t[7] - 77*t[8] - 
       (193*t[9])/6 - (129*t[10])/16 + (1901*t[11])/12 - (571*t[12])/48 + 
       (6439*t[13])/72 - (125*t[14])/32 - (1387*t[15])/144 + (23*t[25])/3 - 
       22*t[26] + (7*t[27])/3 + 2*t[29] + 4*t[30] - (14*t[31])/3 + 2*t[32] - 
       2*t[33] - (13*t[34])/3 - 6*t[35] + 14*t[36] + (44*t[37])/3 + 
       (46*t[38])/3 + t[39] + (19*t[40])/3 + (13*t[41])/6 - (13*t[42])/6 + 
       2*t[43] - 4*t[44] - (28*t[45])/3 + (13*t[46])/3 + (62*t[47])/3 - 
       (259*t[48])/12 - (221*t[49])/48 - (67*t[50])/12 + (901*t[51])/96 - 
       (161*t[52])/12 + (125*t[53])/48 - (1103*t[54])/24 - (7*t[58])/3 - 
       (2*t[59])/3 + (749*t[60])/8 + (2041*t[61])/24 - (7117*t[62])/48 - 
       (697*t[63])/16 - (217*t[64])/16 - (3793*t[65])/24 - (1701*t[66])/8 + 
       (10*t[70])/3 - (10*t[71])/3 + (40*t[72])/3 - 20*t[73] - 10*t[74] + 
       16*t[75] + (52*t[76])/3 + (8*t[77])/3 - (185*t[78])/3 + 8*t[79] + 
       (118*t[80])/3 + 3*t[81] + 8*t[82] + (7*t[83])/3 - (463*t[84])/24 - 
       (995*t[85])/24 - 12*t[86] - (2005*t[87])/24 - (1349*t[88])/48 - 
       (969*t[89])/16 + (50*t[96])/3 + 16*t[97] + 80*t[98] - 168*t[99] - 
       36*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*Omega2[v, w, u]*
      (-t[1] + (3*t[2])/2 - (9*t[3])/2 + 5*t[4] - (20*t[5])/3 - (53*t[6])/6 + 
       3*t[7] + 26*t[8] + (91*t[9])/6 - (79*t[10])/6 + 19*t[11] + 
       (41*t[12])/3 + (83*t[13])/12 + (275*t[14])/18 + (7*t[15])/18 + 
       (2*t[25])/3 + (4*t[26])/3 + (22*t[27])/3 + 2*t[35] + 2*t[36] + 
       4*t[37] - 2*t[38] + (10*t[39])/3 + 2*t[40] - t[46] + (19*t[48])/3 - 
       (29*t[49])/6 - (32*t[50])/3 - 3*t[51] + (32*t[52])/3 + (29*t[53])/6 + 
       (28*t[54])/3 + 2*t[59] + (92*t[60])/3 + (104*t[61])/3 + (59*t[62])/3 + 
       (19*t[63])/3 - (145*t[64])/6 + (323*t[65])/18 - (365*t[66])/18 - 
       2*t[77] - 2*t[78] + 4*t[79] - 8*t[80] - 3*t[81] + (37*t[82])/3 - 
       7*t[83] + (15*t[84])/2 + (5*t[85])/3 - 8*t[86] - (38*t[87])/3 - 
       (19*t[88])/3 + (61*t[89])/6 - 24*t[99] - 36*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((29*t[1])/2 - (5*t[2])/4 - 3*t[3] + (301*t[4])/6 - (25*t[5])/3 + 
       (385*t[6])/24 + (7*t[7])/3 - (71*t[8])/3 + (34*t[9])/3 + 
       (1069*t[10])/24 + (185*t[11])/24 - (527*t[12])/8 + (14*t[13])/3 + 
       (1085*t[14])/24 - (1583*t[15])/72 - 2*t[24] + (2*t[25])/3 - 
       (44*t[26])/3 - (14*t[27])/3 + t[28] + 2*t[31] - 2*t[33] - 5*t[35] + 
       4*t[36] - 2*t[37] + 14*t[38] + (7*t[39])/3 - 2*t[40] - t[45] + 
       t[46]/2 + 2*t[47] - (73*t[48])/24 + (89*t[49])/8 + (143*t[50])/24 - 
       14*t[51] - (143*t[52])/24 - (125*t[53])/8 - (685*t[54])/24 - 
       (13*t[59])/2 + (187*t[60])/3 + (403*t[61])/6 - (1183*t[62])/24 + 
       (153*t[63])/8 - 130*t[64] - (1543*t[65])/36 - (1121*t[66])/12 - 
       11*t[69] + t[73] - 4*t[74] - 5*t[75] + 2*t[77] + t[78] - 3*t[79] + 
       6*t[80] + (15*t[81])/2 - (55*t[82])/6 - (46*t[83])/3 + (83*t[84])/4 + 
       (59*t[85])/3 - (5*t[86])/3 - (13*t[87])/12 - (25*t[88])/24 - 
       (211*t[89])/12 - 6*t[99] - 29*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*(-2*t[1] - (7*t[2])/6 - 
       (47*t[3])/6 + (115*t[4])/6 - (221*t[5])/8 + (44*t[6])/3 + 
       (127*t[7])/12 - (211*t[8])/12 + (851*t[9])/24 + (179*t[10])/6 - 
       (233*t[11])/12 - (59*t[12])/24 + (59*t[13])/18 + (1333*t[14])/144 - 
       (1339*t[15])/144 - (11*t[24])/3 + (23*t[25])/3 - (11*t[26])/3 - 
       (23*t[27])/3 - 4*t[28] - (11*t[33])/3 - 4*t[35] + 13*t[36] - 4*t[38] - 
       (11*t[39])/3 - 4*t[45] - 6*t[46] + 8*t[47] - (9*t[48])/2 + 
       (41*t[49])/12 - (5*t[50])/6 - (187*t[51])/48 + (5*t[52])/6 - 
       (41*t[53])/12 - (7*t[54])/12 + 4*t[59] + (13*t[60])/2 + 52*t[61] - 
       (175*t[62])/8 + (1261*t[63])/24 - (218*t[64])/3 + (5*t[65])/36 - 
       (33*t[66])/4 - 2*t[72] - t[73] - 8*t[74] + 7*t[75] - 6*t[76] - 
       4*t[78] + t[79] + 8*t[80] + 6*t[81] - (34*t[82])/3 - (14*t[83])/3 - 
       (9*t[84])/4 - (19*t[85])/12 + (47*t[86])/3 - t[87]/2 - t[88]/4 - 
       (17*t[89])/4 - 24*t[99] - 28*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((65*t[1])/12 - t[2]/2 - (33*t[3])/4 - (537*t[4])/16 - (595*t[5])/16 + 
       11*t[6] + (159*t[7])/8 - (157*t[8])/8 + (631*t[9])/16 + (7*t[10])/16 - 
       (667*t[11])/48 + 24*t[12] - (2459*t[13])/72 + (3743*t[14])/144 - 
       (1877*t[15])/288 - 2*t[24] + t[25] - (83*t[26])/12 - 7*t[27] - 
       4*t[28] + 2*t[30] + 3*t[31] - 2*t[33] + t[35] - (13*t[36])/6 - 
       2*t[37] + (77*t[38])/12 - 5*t[39] - 4*t[40] + t[43] - (21*t[46])/4 - 
       10*t[48] - (65*t[49])/16 + (5*t[50])/2 + 16*t[51] - (5*t[52])/2 + 
       (157*t[53])/16 + (1517*t[54])/48 - (101*t[59])/24 - 33*t[60] + 
       (26*t[61])/3 - (2971*t[62])/24 + (221*t[63])/6 + (3395*t[64])/48 - 
       (3943*t[65])/48 - (11531*t[66])/144 + 3*t[69] + (3*t[73])/2 - 
       (10*t[74])/3 + (3*t[75])/2 - 6*t[76] + 4*t[77] + 4*t[78] - 
       (31*t[79])/2 + 4*t[80] - (11*t[81])/6 - (55*t[82])/6 + 15*t[83] - 
       (1601*t[84])/48 - (1373*t[85])/48 + (109*t[86])/2 - (653*t[87])/48 - 
       (769*t[88])/96 - (2107*t[89])/24 + (20*t[95])/3 - 24*t[98] + 
       38*t[99] - 28*t[100])*\[Zeta][2] + M1[v, w, u]*
      (-t[1]/2 + t[2] - 2*t[3] - t[4]/2 - (73*t[5])/24 - (5*t[6])/24 + 
       3*t[7] - 4*t[8] + (265*t[9])/24 - (8*t[10])/3 - (5*t[11])/8 + 
       (79*t[12])/24 + (265*t[13])/36 + (46*t[14])/9 - (253*t[15])/144 - 
       2*t[24] + (11*t[25])/3 - (8*t[26])/3 + t[27]/3 - 2*t[33] + 5*t[36] + 
       t[37] - t[38] + t[39]/3 + t[40] - t[45] + 2*t[47] - t[48]/24 - 
       (7*t[49])/3 - (25*t[50])/24 + (3*t[51])/4 + (25*t[52])/24 + 
       (7*t[53])/3 + (89*t[54])/24 + t[59] + (53*t[60])/12 + (167*t[61])/12 + 
       (67*t[62])/24 + (101*t[63])/24 - (103*t[64])/24 + (40*t[65])/9 - 
       (166*t[66])/9 - 5*t[74] - t[77] - t[78] + (5*t[81])/2 - (25*t[82])/6 + 
       t[84] - (19*t[85])/12 + 2*t[86] + (7*t[87])/12 + (7*t[88])/24 - 
       (29*t[89])/24 - 2*t[95] - 12*t[99] - 24*t[100])*\[Zeta][2] + 
     M1[w, u, v]*(-t[1]/2 - t[3] - t[4]/2 - (27*t[5])/8 + t[6]/8 + t[7] + 
       5*t[8] + (35*t[9])/8 - 3*t[10] + (3*t[11])/8 + (21*t[12])/8 + 
       (107*t[13])/12 + (11*t[14])/2 - (21*t[15])/16 + 5*t[25] - 4*t[26] - 
       t[27] + 5*t[36] + t[37] - t[38] - t[39] + t[40] - t[45] + 2*t[47] + 
       (5*t[48])/8 - t[49] - (19*t[50])/8 + t[51]/4 + (19*t[52])/8 + t[53] + 
       (35*t[54])/8 + t[59] + (31*t[60])/4 + (53*t[61])/4 + (9*t[62])/8 + 
       (47*t[63])/8 - (37*t[64])/8 + (16*t[65])/3 - 22*t[66] - 5*t[74] - 
       t[77] - t[78] + (5*t[81])/2 - (11*t[82])/2 + t[84] + (7*t[85])/4 + 
       2*t[86] - (11*t[87])/4 - (11*t[88])/8 - (7*t[89])/8 - 2*t[95] - 
       12*t[99] - 24*t[100])*\[Zeta][2] + M1[u, v, w]*
      (-t[1]/2 - t[3] - (3*t[4])/2 - (89*t[5])/24 + (11*t[6])/24 + t[7] + 
       5*t[8] + (113*t[9])/24 - (7*t[10])/3 - (13*t[11])/8 + (71*t[12])/24 + 
       (293*t[13])/36 + (97*t[14])/18 - (197*t[15])/144 + (13*t[25])/3 - 
       (10*t[26])/3 - t[27]/3 + 5*t[36] + t[37] - t[38] - t[39]/3 + t[40] - 
       t[45] + 2*t[47] + (7*t[48])/24 - (5*t[49])/3 - (65*t[50])/24 + 
       t[51]/4 + (65*t[52])/24 + (5*t[53])/3 + (145*t[54])/24 + t[59] + 
       (85*t[60])/12 + (151*t[61])/12 + (35*t[62])/24 + (133*t[63])/24 - 
       (119*t[64])/24 + (56*t[65])/9 - (182*t[66])/9 - 5*t[74] - t[77] - 
       t[78] + (5*t[81])/2 - (29*t[82])/6 + t[84] + (13*t[85])/12 + 2*t[86] - 
       (25*t[87])/12 - (25*t[88])/24 - (13*t[89])/24 - 2*t[95] - 12*t[99] - 
       24*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (11*t[1] + 17*t[2] - (81*t[3])/4 - 194*t[4] + (237*t[5])/4 - 
       (867*t[6])/8 - (39*t[7])/2 + (101*t[8])/2 + 26*t[9] + 5*t[10] + 
       (143*t[11])/8 + (897*t[12])/4 - (931*t[13])/12 + (587*t[14])/24 + 
       (1759*t[15])/24 - 10*t[24] - 14*t[25] + 18*t[26] + 54*t[27] + 
       15*t[29] - 10*t[31] + 6*t[33] - 6*t[34] + 2*t[35] - 78*t[36] + 
       14*t[37] - 4*t[38] - 6*t[40] + 35*t[43] + 4*t[44] + 36*t[45] - 
       80*t[47] + (275*t[48])/8 - (195*t[49])/2 - (589*t[50])/8 - 
       (151*t[51])/4 + (589*t[52])/8 + (195*t[53])/2 + (885*t[54])/8 + 
       20*t[59] + (361*t[60])/4 + (129*t[61])/4 + (2125*t[62])/8 - 
       (605*t[63])/8 + (1765*t[64])/8 + (815*t[65])/4 + (3571*t[66])/12 + 
       16*t[69] - 26*t[70] + 26*t[71] + 12*t[73] + 26*t[74] - 6*t[75] + 
       6*t[77] - 28*t[78] + 84*t[79] - 42*t[80] - 53*t[81] + 101*t[82] - 
       84*t[83] + (177*t[84])/4 + (135*t[85])/4 - 90*t[86] - (421*t[87])/4 - 
       (421*t[88])/8 + (739*t[89])/8 + 12*t[95] - 12*t[99] - 24*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((35*t[1])/4 - (5*t[2])/3 - (65*t[3])/6 + (61*t[4])/12 - 
       (883*t[5])/48 + (733*t[6])/48 + (38*t[7])/3 + (49*t[8])/2 + 
       (707*t[9])/48 + (43*t[10])/4 + (767*t[11])/48 - (607*t[12])/48 + 
       (25*t[13])/8 + (899*t[14])/72 + (1409*t[15])/288 + 4*t[19] - 4*t[20] - 
       4*t[21] + 2*t[22] + 4*t[23] + (7*t[24])/3 + (5*t[25])/6 - 
       (22*t[26])/3 - (29*t[27])/6 + 2*t[29] + 2*t[32] + t[33]/3 - t[34] - 
       (5*t[36])/2 - (9*t[37])/2 + (15*t[38])/2 - (5*t[39])/6 - (9*t[40])/2 - 
       t[41]/2 + t[42]/2 + (5*t[45])/2 - 2*t[46] - t[47] - (71*t[48])/48 + 
       (47*t[49])/12 + (123*t[50])/16 + (11*t[51])/12 - (43*t[52])/16 - 
       (23*t[53])/12 - (3*t[54])/16 - 3*t[59] + (323*t[60])/24 + 
       (817*t[61])/24 - (875*t[62])/48 - (541*t[63])/48 + (7*t[64])/48 - 
       (68*t[65])/9 - 7*t[66] + 4*t[72] + (5*t[74])/2 - 8*t[76] + t[77]/2 + 
       (35*t[78])/2 - 18*t[80] - t[81]/4 - (29*t[82])/4 + (19*t[84])/2 - 
       (229*t[85])/24 + 3*t[86] + (385*t[87])/24 + (385*t[88])/48 + 
       (101*t[89])/48 + t[95] - t[97] - 48*t[98] + 54*t[99] - 24*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
      ((-19*t[1])/24 + (5*t[2])/24 - (127*t[3])/24 + (839*t[4])/32 - 
       (17*t[5])/12 + (113*t[6])/48 - t[7]/2 - (22*t[8])/3 + (81*t[9])/8 + 
       (11273*t[10])/192 - 4*t[11] - (5051*t[12])/192 - (1603*t[13])/288 + 
       (42809*t[14])/1152 - (5891*t[15])/576 - (3*t[24])/2 + (11*t[25])/12 + 
       t[26] - (37*t[27])/12 + (5*t[28])/2 + (13*t[31])/6 - (3*t[33])/2 - 
       (7*t[34])/12 - 6*t[35] + (59*t[36])/6 - t[37]/3 - (5*t[38])/3 + 
       (31*t[39])/12 - (15*t[40])/4 + (7*t[41])/24 - (7*t[42])/24 + t[44] + 
       t[45]/2 + (19*t[46])/6 - t[47] + (31*t[48])/48 + (851*t[49])/192 + 
       (7*t[50])/48 - (8221*t[51])/384 + (29*t[52])/48 - (353*t[53])/64 - 
       (2033*t[54])/96 - t[58]/12 + (19*t[59])/12 + (1763*t[60])/96 + 
       (6775*t[61])/96 - (817*t[62])/64 + (7363*t[63])/192 - 
       (23357*t[64])/192 + (2767*t[65])/288 - (6079*t[66])/288 - 4*t[69] - 
       (7*t[70])/6 + (7*t[71])/6 - t[72] + 6*t[73] - t[74] - (53*t[75])/3 + 
       (37*t[76])/6 + (19*t[77])/6 - (7*t[78])/2 + (28*t[79])/3 + 
       (4*t[80])/3 + (5*t[81])/2 - (14*t[82])/3 + (10*t[83])/3 + 
       (2075*t[84])/96 + (2047*t[85])/96 - (74*t[86])/3 + (769*t[87])/96 - 
       (101*t[88])/64 + (3533*t[89])/192 + 3*t[95] + (19*t[96])/6 + t[97]/2 + 
       38*t[98] - 46*t[99] - 22*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*((-3*t[1])/8 + (41*t[2])/12 - 
       (2*t[3])/3 + (121*t[4])/24 + (479*t[5])/32 + (35*t[6])/32 + 
       (43*t[7])/12 - 20*t[8] + (1363*t[9])/96 - (269*t[10])/24 + 
       (107*t[11])/96 + (961*t[12])/96 + (899*t[13])/144 - (293*t[14])/144 - 
       (61*t[15])/192 - (41*t[24])/6 - (5*t[25])/4 + 2*t[26] + (25*t[27])/4 - 
       2*t[29] - (41*t[33])/6 + (15*t[36])/4 + (3*t[37])/4 - (3*t[38])/4 + 
       (17*t[39])/4 + (3*t[40])/4 - (3*t[45])/4 + (3*t[47])/2 + 
       (197*t[48])/96 - (137*t[49])/24 + (157*t[50])/96 + (67*t[51])/12 - 
       (157*t[52])/96 + (137*t[53])/24 + (283*t[54])/96 + (3*t[59])/4 + 
       (121*t[60])/16 - (607*t[61])/48 + (1031*t[62])/32 - (95*t[63])/32 - 
       (1225*t[64])/96 + (61*t[65])/36 + (25*t[66])/36 - t[72] - 
       (15*t[74])/4 + 3*t[76] - (3*t[77])/4 - (3*t[78])/4 + 4*t[79] - 
       t[81]/8 + (289*t[82])/24 - 8*t[83] - (95*t[85])/16 - (45*t[86])/2 + 
       (19*t[87])/16 + (19*t[88])/32 - (443*t[89])/96 - (3*t[95])/2 - 
       21*t[99] - 17*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w]*((37*t[1])/24 - t[2]/2 - (13*t[3])/6 - 
       (97*t[4])/24 - (913*t[5])/96 + (359*t[6])/96 + 5*t[7] - (5*t[8])/12 + 
       (1073*t[9])/96 - (169*t[10])/12 + (1021*t[11])/96 - (713*t[12])/96 + 
       (3289*t[13])/144 + (49*t[14])/36 - (2101*t[15])/576 - t[24]/2 + 
       (53*t[25])/12 - (35*t[26])/6 - (25*t[27])/12 - t[28] - t[33]/2 - 
       t[35] + (5*t[36])/4 - (7*t[37])/4 + (17*t[38])/12 - (13*t[39])/12 - 
       (3*t[40])/4 - t[45]/4 + (21*t[46])/2 + t[47]/2 - (173*t[48])/96 - 
       (107*t[49])/6 - (133*t[50])/96 - (391*t[51])/48 + (133*t[52])/96 + 
       (16*t[53])/3 + (47*t[54])/32 - (47*t[59])/12 + (145*t[60])/48 + 
       (983*t[61])/48 - (1769*t[62])/96 - (1711*t[63])/96 + (1179*t[64])/32 + 
       (17*t[65])/36 - (2021*t[66])/36 - 6*t[69] + 3*t[70] - 3*t[71] - 
       5*t[73] - t[74]/4 - 5*t[75] + (3*t[77])/4 - t[78]/4 + 2*t[80] + 
       (33*t[81])/8 - (149*t[82])/24 + (73*t[83])/6 + (2*t[84])/3 + 
       (197*t[85])/48 + (71*t[86])/6 + (779*t[87])/48 + (779*t[88])/96 + 
       (1007*t[89])/96 - t[95]/2 + 3*t[99] - 17*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*((23*t[1])/24 - (49*t[2])/24 + 
       t[3]/3 + (557*t[4])/96 + (47*t[5])/32 - (443*t[6])/96 + (5*t[7])/4 - 
       (5*t[8])/2 - (131*t[9])/32 + (571*t[10])/192 + (1063*t[11])/96 - 
       (275*t[12])/192 + (2197*t[13])/288 + (6017*t[14])/1152 - 
       (67*t[15])/144 + t[24] + (5*t[25])/6 - (23*t[26])/12 - (5*t[27])/6 + 
       t[28]/2 + t[30]/2 - t[31]/6 + t[33] - t[34]/3 - t[35] + t[36]/4 + 
       (11*t[37])/12 + (13*t[38])/12 - (7*t[39])/6 + (7*t[40])/12 + t[41]/6 - 
       t[42]/6 + t[43]/4 - t[45]/12 + t[46]/3 + t[47]/6 - (57*t[48])/32 + 
       (127*t[49])/64 - (97*t[50])/32 - (233*t[51])/384 + (33*t[52])/32 - 
       (47*t[53])/64 - (3*t[54])/8 - t[58]/3 + t[59]/12 + (1159*t[60])/96 + 
       (1109*t[61])/96 - (2705*t[62])/192 - (743*t[63])/192 - 
       (443*t[64])/192 - (5077*t[65])/288 - (8243*t[66])/288 - t[70]/6 + 
       t[71]/6 + (5*t[72])/6 - t[73] + t[74]/4 + t[75] + (55*t[76])/12 - 
       t[77]/12 - (71*t[78])/12 + (23*t[80])/6 + (13*t[81])/8 - 
       (79*t[82])/24 + t[83]/3 - (229*t[84])/96 + (53*t[85])/96 - t[86]/2 - 
       (1397*t[87])/96 - (519*t[88])/64 - (1195*t[89])/192 + t[95]/2 + 
       (13*t[96])/6 + (3*t[97])/2 + 26*t[98] - 29*t[99] - (27*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      (-t[1]/4 + t[2]/4 - (3*t[3])/4 + (11*t[4])/4 - (17*t[5])/16 + 
       (75*t[6])/16 + (7*t[7])/4 - (55*t[8])/4 + (93*t[9])/16 - (3*t[10])/4 - 
       (51*t[11])/16 - (21*t[12])/16 + (2*t[13])/9 - (77*t[14])/12 - 
       (173*t[15])/96 - 2*t[24] - (7*t[25])/2 + 4*t[26] + (7*t[27])/2 - 
       2*t[33] - t[35] + (9*t[36])/2 - t[37]/2 - t[38]/2 + (11*t[39])/2 + 
       t[40]/2 - (3*t[45])/2 + 3*t[47] - (29*t[48])/16 - t[49] + 
       (51*t[50])/16 + (21*t[51])/8 - (51*t[52])/16 + t[53] - (3*t[54])/16 + 
       t[59]/2 - (63*t[60])/8 + (11*t[61])/8 - (57*t[62])/16 + 
       (65*t[63])/16 - (63*t[64])/16 + t[65]/12 - (103*t[66])/12 - 
       (9*t[74])/2 - t[77]/2 - t[78]/2 - t[79] + 4*t[80] + (13*t[81])/4 + 
       t[82]/4 + 2*t[83] - (7*t[84])/4 - (27*t[85])/8 + 4*t[86] + 
       (59*t[87])/8 + (59*t[88])/16 - (69*t[89])/16 - t[95] - 6*t[99] - 
       12*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      (-t[1]/4 - t[3]/2 + (5*t[4])/4 - (73*t[5])/48 - (5*t[6])/48 + t[7]/2 + 
       (5*t[8])/2 + (97*t[9])/48 - (11*t[10])/6 + (35*t[11])/16 + 
       (55*t[12])/48 + (229*t[13])/72 + (41*t[14])/36 - (181*t[15])/288 + 
       (5*t[25])/6 - t[26]/3 + (7*t[27])/6 + (5*t[36])/2 + t[37]/2 - 
       t[38]/2 + (7*t[39])/6 + t[40]/2 - t[45]/2 + t[47] + (23*t[48])/48 - 
       t[49]/6 - (49*t[50])/48 + t[51]/8 + (49*t[52])/48 + t[53]/6 + 
       (65*t[54])/48 + t[59]/2 + (77*t[60])/24 + (167*t[61])/24 + 
       (43*t[62])/48 + (125*t[63])/48 - (103*t[64])/48 + (20*t[65])/9 - 
       (95*t[66])/9 - (5*t[74])/2 - t[77]/2 - t[78]/2 + (5*t[81])/4 - 
       t[82]/12 + t[84]/2 + (5*t[85])/24 + t[86] - (17*t[87])/24 - 
       (17*t[88])/48 - (29*t[89])/48 - t[95] - 6*t[99] - 12*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*
      ((11*t[1])/4 + (13*t[2])/6 + (7*t[3])/3 - (65*t[4])/4 + 
       (2585*t[5])/144 - (1877*t[6])/144 - (45*t[7])/4 + (85*t[8])/4 - 
       (2489*t[9])/144 - (463*t[10])/9 + (1135*t[11])/48 + (2245*t[12])/144 - 
       (239*t[13])/216 - (239*t[14])/216 + (5717*t[15])/864 + (5*t[24])/3 - 
       (55*t[25])/18 - t[26]/9 + (151*t[27])/18 + 4*t[28] + (5*t[33])/3 + 
       4*t[35] - (25*t[36])/6 + (13*t[37])/6 + (19*t[38])/6 + (43*t[39])/18 + 
       (19*t[40])/6 + (5*t[45])/6 + (23*t[46])/2 - (5*t[47])/3 + 
       (1079*t[48])/144 - (229*t[49])/18 - (913*t[50])/144 + (25*t[51])/12 + 
       (913*t[52])/144 + (146*t[53])/9 + (1589*t[54])/144 - (4*t[59])/3 + 
       (1373*t[60])/72 - (2455*t[61])/72 + (6775*t[62])/144 - 
       (5263*t[63])/144 + (1427*t[64])/144 - (205*t[65])/108 + 
       (217*t[66])/108 - t[73] + (31*t[74])/6 + 7*t[75] - 6*t[76] - 
       (19*t[77])/6 + (5*t[78])/6 + 5*t[79] - 8*t[80] - (67*t[81])/12 + 
       (275*t[82])/36 - (68*t[83])/3 + (9*t[84])/4 - (397*t[85])/72 - 
       38*t[86] - (557*t[87])/72 - (557*t[88])/144 + (2191*t[89])/144 + 
       (5*t[95])/3 - 14*t[99] - 8*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((-13*t[1])/24 + (17*t[2])/6 - 
       (11*t[3])/12 - (161*t[4])/24 + (1001*t[5])/288 + (1693*t[6])/288 - 
       (7*t[7])/2 - (13*t[8])/12 - (305*t[9])/288 - (587*t[10])/36 - 
       (209*t[11])/32 + (1489*t[12])/288 + (2689*t[13])/432 - 
       (2995*t[14])/216 + (7949*t[15])/1728 + 2*t[19] + 2*t[20] + 2*t[21] - 
       2*t[22] - 2*t[23] - (7*t[24])/6 - (73*t[25])/36 + (29*t[26])/18 - 
       (59*t[27])/36 + t[29] - t[32] - t[33]/6 + t[34]/2 - (25*t[36])/12 - 
       (17*t[37])/12 - t[38]/12 - (41*t[39])/36 + (7*t[40])/12 + 
       (3*t[41])/4 - (3*t[42])/4 - (19*t[45])/12 + (7*t[47])/6 + 
       (497*t[48])/288 - (157*t[49])/36 + (905*t[50])/288 + (73*t[51])/16 - 
       (473*t[52])/288 + (85*t[53])/36 + (1559*t[54])/288 - t[59]/6 + 
       (1043*t[60])/144 - (2023*t[61])/144 + (3937*t[62])/288 - 
       (3049*t[63])/288 + (6599*t[64])/288 + (737*t[65])/54 + 
       (2537*t[66])/108 + t[72] + (25*t[74])/12 - (9*t[76])/2 - 
       (7*t[77])/12 + (119*t[78])/12 + 8*t[80] - (25*t[81])/24 + 
       (53*t[82])/72 - t[83] + (67*t[84])/12 - (217*t[85])/144 + 
       (31*t[86])/6 + (997*t[87])/144 + (853*t[88])/288 + (1909*t[89])/288 + 
       (5*t[95])/6 - 3*t[96] - (3*t[97])/2 - 24*t[98] + 29*t[99] - 8*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
      ((-31*t[1])/24 + t[2]/3 - 2*t[3] + (1531*t[4])/96 - (865*t[5])/96 - 
       (353*t[6])/48 + (265*t[7])/48 + (409*t[8])/48 + (1601*t[9])/96 - 
       (1493*t[10])/192 + (35*t[11])/48 + (75*t[12])/64 + (15319*t[13])/864 + 
       (6823*t[14])/1152 - (1669*t[15])/288 - t[24] + (31*t[25])/12 - 
       (3*t[26])/2 + (3*t[27])/2 - (5*t[28])/2 - t[30] - (4*t[31])/3 - 
       t[33] + t[34]/6 + 2*t[35] + (35*t[36])/4 - t[37]/3 - (5*t[38])/3 - 
       t[39]/3 + (11*t[40])/6 - t[41]/12 + t[42]/12 - t[43]/2 + t[44]/2 - 
       (25*t[45])/12 - (7*t[46])/24 + (25*t[47])/6 - (55*t[48])/48 - 
       (437*t[49])/64 - (343*t[50])/48 - (1931*t[51])/384 + (295*t[52])/48 - 
       (25*t[53])/192 + (257*t[54])/32 - t[58]/3 + (23*t[59])/12 + 
       (2689*t[60])/96 + (1267*t[61])/96 + (547*t[62])/192 + (335*t[63])/64 - 
       (3235*t[64])/64 + (3595*t[65])/288 - (9379*t[66])/288 + (7*t[69])/3 + 
       t[70]/6 - t[71]/6 + t[72]/2 - (9*t[73])/4 - (28*t[74])/3 - 
       (43*t[75])/12 + (5*t[76])/3 - (23*t[77])/12 - (7*t[78])/2 - 
       (49*t[79])/12 + (13*t[80])/6 + t[81]/2 + (13*t[82])/6 + (14*t[83])/3 + 
       (319*t[84])/96 + (767*t[85])/96 + (51*t[86])/4 - (1465*t[87])/96 - 
       (1673*t[88])/192 + (691*t[89])/192 + t[95]/2 + (2*t[96])/3 + t[97]/4 + 
       14*t[98] - 33*t[99] - (11*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*((13*t[1])/12 - (25*t[2])/24 - 
       t[3]/24 + (289*t[4])/32 + (69*t[5])/16 - (67*t[6])/32 - 
       (209*t[7])/48 + (59*t[8])/48 - (139*t[9])/16 - (755*t[10])/192 - 
       (7*t[11])/32 - (2071*t[12])/192 + (6313*t[13])/864 - 
       (6967*t[14])/1152 + (653*t[15])/192 + t[24] + (2*t[25])/3 - t[26] + 
       (11*t[27])/6 + (5*t[28])/2 + (5*t[31])/6 + t[33] - (7*t[34])/12 - 
       2*t[35] + (43*t[36])/6 + (23*t[37])/12 + (7*t[38])/12 + (5*t[39])/2 + 
       t[40] + (7*t[41])/24 - (7*t[42])/24 - t[44] - (7*t[45])/4 + 
       (7*t[46])/2 + (7*t[47])/2 + (31*t[48])/96 + (1183*t[49])/192 - 
       (51*t[50])/32 - (229*t[51])/384 + (43*t[52])/32 - (703*t[53])/192 + 
       (19*t[54])/48 - t[58]/12 + t[59]/3 - (165*t[60])/32 - (457*t[61])/96 + 
       (4295*t[62])/192 + (65*t[63])/192 - (3569*t[64])/192 - 
       (199*t[65])/96 - (255*t[66])/32 - t[70]/6 + t[71]/6 + (4*t[72])/3 - 
       (9*t[73])/4 - (19*t[74])/4 - (7*t[75])/12 + (11*t[76])/6 - 
       (3*t[77])/4 - (13*t[78])/4 + (23*t[79])/12 + (11*t[80])/3 + 
       (73*t[81])/24 - (55*t[82])/24 - t[83]/4 - (325*t[84])/96 - 
       (235*t[85])/96 - (187*t[86])/12 - (679*t[87])/96 - (887*t[88])/192 + 
       (1723*t[89])/192 + t[95]/2 + (13*t[96])/6 + t[97] + 14*t[98] - 
       33*t[99] - (11*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*((7*t[1])/2 - (3*t[2])/4 + 
       (23*t[3])/4 - (7*t[4])/3 + (323*t[5])/24 + (7*t[6])/2 - (5*t[7])/12 - 
       (131*t[8])/12 - (509*t[9])/24 - (361*t[10])/24 - (11*t[11])/12 - 
       (47*t[12])/3 - (377*t[13])/72 - (113*t[14])/72 - (289*t[15])/48 - 
       2*t[25] - 2*t[26] - 2*t[27] - 2*t[31] + t[35] + 2*t[36] - 2*t[37] + 
       4*t[38] + 3*t[40] - 4*t[45] + t[46] + 8*t[47] - (3*t[48])/4 + 
       (107*t[49])/24 + (43*t[50])/4 + 2*t[51] - (43*t[52])/4 - 
       (119*t[53])/24 - 11*t[54] - (5*t[59])/2 - (379*t[60])/12 - 
       (53*t[61])/4 - (361*t[62])/12 + (89*t[63])/12 + (505*t[64])/24 - 
       (23*t[65])/2 - (62*t[66])/9 + 3*t[73] - 6*t[74] + 5*t[75] - 3*t[77] - 
       t[78] - 5*t[79] + 12*t[80] + (3*t[81])/2 - (5*t[82])/2 + t[83]/6 - 
       7*t[84] - (39*t[85])/4 + (91*t[86])/3 + (112*t[87])/3 + (62*t[88])/3 - 
       (193*t[89])/8 - 2*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^3*(-t[2]/4 + t[3]/4 - (29*t[4])/24 - (31*t[5])/96 + 
       t[6]/4 - (17*t[7])/48 + (115*t[8])/48 - (137*t[9])/96 + 
       (31*t[10])/48 - (59*t[11])/48 - (169*t[12])/96 - (35*t[13])/72 + 
       (743*t[14])/576 - (3*t[15])/64 + t[24]/2 + t[25]/2 - t[26]/2 - 
       t[27]/2 + t[33]/2 + t[36]/4 - t[39]/2 - t[49]/24 - t[50]/2 - 
       (31*t[51])/64 + t[52]/2 + t[53]/24 + (7*t[54])/16 - (5*t[60])/6 + 
       (33*t[61])/8 - (143*t[62])/96 + (223*t[63])/96 - (85*t[64])/48 + 
       (259*t[65])/144 + (97*t[66])/144 - t[73]/4 - (5*t[75])/4 + t[79]/4 - 
       t[82] + (5*t[83])/3 + (9*t[84])/16 + (17*t[85])/16 + (7*t[86])/12 + 
       (5*t[87])/6 + (5*t[88])/12 + (3*t[89])/8 - 2*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((-5*t[1])/6 + (3*t[2])/4 - (71*t[3])/12 - (31*t[4])/6 - 
       (169*t[5])/12 - (23*t[6])/8 + (17*t[7])/4 + (181*t[8])/12 + 22*t[9] + 
       (33*t[10])/8 + (91*t[11])/24 + (485*t[12])/24 + (581*t[13])/72 + 
       (827*t[14])/144 + (139*t[15])/36 + (7*t[25])/3 - t[26] + 2*t[27] + 
       2*t[31] - t[35] - 5*t[36] + 3*t[37] - (4*t[38])/3 - 3*t[40] + 
       4*t[45] + 3*t[46] - 8*t[47] + (11*t[48])/8 - (271*t[49])/24 - 
       (251*t[50])/24 - (331*t[51])/48 + (251*t[52])/24 + (307*t[53])/24 + 
       (233*t[54])/24 + (11*t[59])/6 + 35*t[60] + (175*t[61])/12 + 
       (157*t[62])/6 - (82*t[63])/3 + (17*t[64])/24 + (68*t[65])/3 + 
       (47*t[66])/6 + t[73] + 5*t[74] + 11*t[75] + 3*t[77] + t[78] + t[79] - 
       12*t[80] - 2*t[81] + 3*t[82] - (77*t[83])/6 + (49*t[84])/6 + 
       (59*t[85])/6 - (47*t[86])/3 - (61*t[87])/4 - (41*t[88])/8 + 28*t[89] - 
       2*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((-31*t[1])/24 - (25*t[2])/24 - t[3]/3 + (581*t[4])/96 + 
       (195*t[5])/32 - (539*t[6])/96 - (7*t[7])/12 - (20*t[8])/3 - 
       (87*t[9])/32 + (263*t[10])/64 + (541*t[11])/96 - (87*t[12])/64 - 
       (775*t[13])/864 + (621*t[14])/128 + (319*t[15])/288 - t[24] - 
       (4*t[25])/3 + (9*t[26])/4 - t[27]/3 - t[28]/2 - t[30]/2 + t[31]/6 - 
       t[33] - t[34]/3 + t[35] - (7*t[36])/4 - (7*t[37])/12 - (11*t[38])/12 + 
       t[39]/3 + t[40]/12 + t[41]/6 - t[42]/6 - t[43]/4 + (5*t[45])/12 - 
       t[46] - (5*t[47])/6 - (139*t[48])/96 + (333*t[49])/64 - 
       (83*t[50])/96 - (889*t[51])/384 - (109*t[52])/96 - (727*t[53])/192 - 
       (133*t[54])/24 - t[58]/3 + (5*t[59])/6 - (283*t[60])/96 + 
       (367*t[61])/32 - (2129*t[62])/192 + (305*t[63])/192 - 
       (563*t[64])/192 - (1801*t[65])/288 + (2405*t[66])/288 - t[70]/6 + 
       t[71]/6 + t[72]/2 - t[73] + (9*t[74])/4 + t[75] + (53*t[76])/12 + 
       (7*t[77])/12 - (59*t[78])/12 - (3*t[79])/2 + (9*t[80])/2 - t[81]/24 + 
       (27*t[82])/8 + t[83]/3 - (87*t[84])/32 - (283*t[85])/96 - t[86] - 
       (231*t[87])/32 - (853*t[88])/192 - (1045*t[89])/192 + (3*t[95])/2 + 
       (13*t[96])/6 + (3*t[97])/2 + 26*t[98] - 23*t[99] - (3*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((107*t[1])/4 - (35*t[2])/2 + 18*t[3] + (843*t[4])/8 + (2381*t[5])/48 - 
       (3515*t[6])/48 - (23*t[7])/2 - (125*t[8])/2 - (845*t[9])/48 - 
       (967*t[10])/48 + (2525*t[11])/16 - (1249*t[12])/24 + (955*t[13])/9 - 
       (14477*t[14])/288 - (1591*t[15])/96 + 2*t[19] - 2*t[20] - 2*t[21] + 
       2*t[22] + 2*t[23] - t[25]/6 - (97*t[26])/3 + (49*t[27])/6 + 6*t[28] - 
       4*t[30] - 12*t[31] - t[34] - 12*t[35] + (3*t[36])/2 + (31*t[37])/2 + 
       (61*t[38])/2 - (5*t[39])/6 + (13*t[40])/2 - t[41]/2 + t[42]/2 - 
       2*t[43] - 10*t[44] - (7*t[45])/2 + 6*t[46] + 7*t[47] - 
       (1279*t[48])/48 - (449*t[49])/48 - (775*t[50])/48 + (619*t[51])/32 - 
       (233*t[52])/48 + (257*t[53])/48 - (2179*t[54])/48 - 4*t[58] - 
       (19*t[59])/2 + (1897*t[60])/12 - (953*t[61])/12 - (499*t[62])/6 - 
       (1067*t[63])/6 + (229*t[64])/6 - (9455*t[65])/72 - (17713*t[66])/72 + 
       2*t[70] - 2*t[71] + 18*t[72] - 4*t[73] + (9*t[74])/2 + 4*t[75] + 
       35*t[76] + (9*t[77])/2 - (103*t[78])/2 + 50*t[80] + (99*t[81])/4 + 
       (17*t[82])/12 + (71*t[84])/8 + (71*t[85])/6 + 15*t[86] - 
       (277*t[87])/3 - (229*t[88])/6 - (751*t[89])/24 + 5*t[95] + 10*t[96] + 
       12*t[97] + 168*t[98] - 230*t[99] - t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^5*(t[1]/6 - t[3]/24 + (95*t[4])/24 - (5*t[5])/24 - 
       t[6]/32 + (3*t[7])/16 + (13*t[8])/48 + t[9]/4 + (3*t[10])/16 + 
       (121*t[11])/96 - (49*t[12])/24 + (10*t[13])/9 + (257*t[14])/144 - 
       (125*t[15])/144 + t[25]/12 - t[26]/4 - t[37]/4 + t[38]/6 + 
       (3*t[46])/8 - t[48]/32 + t[49]/48 - (11*t[50])/96 - (61*t[51])/48 + 
       (11*t[52])/96 - (79*t[53])/48 - (67*t[54])/96 - (43*t[59])/120 + 
       (55*t[60])/16 + (23*t[61])/24 - (85*t[62])/32 - (137*t[63])/96 - 
       (53*t[64])/12 - (133*t[65])/48 - (275*t[66])/48 - t[73]/4 + t[74]/4 - 
       (5*t[75])/4 + t[79]/4 + t[81]/8 - t[82]/8 + (5*t[83])/3 + 
       (41*t[84])/48 + (23*t[85])/24 + (7*t[86])/12 - (25*t[87])/16 - 
       (25*t[88])/32 + (11*t[89])/32 - t[100]/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^5*((37*t[4])/24 + (5*t[5])/96 - (5*t[7])/48 - 
       (5*t[8])/48 - (5*t[9])/96 - (5*t[10])/48 + t[11]/48 - (157*t[12])/96 + 
       (7*t[13])/72 - (205*t[14])/576 + (43*t[15])/192 + t[36]/4 + 
       (17*t[49])/24 - (19*t[51])/64 - (17*t[53])/24 - (13*t[54])/16 + 
       (5*t[60])/3 + (5*t[61])/8 + (109*t[62])/96 - (5*t[63])/96 - 
       (145*t[64])/48 + (31*t[65])/144 + (325*t[66])/144 - t[73]/4 - 
       (5*t[75])/4 + t[79]/4 + (17*t[83])/12 + (13*t[84])/16 + 
       (13*t[85])/16 - (5*t[86])/12 - (5*t[87])/3 - (5*t[88])/6 + 
       (13*t[89])/8 - t[100]/2)*\[Zeta][2] + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^2*((83*t[1])/48 - (85*t[3])/24 + (1085*t[4])/48 - 
       (1331*t[5])/192 + (907*t[6])/192 - (13*t[7])/16 - (305*t[8])/48 + 
       (2251*t[9])/192 + (23*t[10])/16 + (1469*t[11])/192 - (113*t[12])/64 + 
       (3343*t[13])/288 - (7*t[14])/9 + (529*t[15])/1152 - (3*t[24])/4 + 
       (25*t[25])/24 - (31*t[26])/12 - (29*t[27])/24 + t[28] + 2*t[31] - 
       (3*t[33])/4 - (5*t[35])/2 - (9*t[36])/8 - (3*t[37])/8 + 
       (37*t[38])/24 + (19*t[39])/24 - (21*t[40])/8 + (17*t[45])/8 + 
       (55*t[46])/24 - (17*t[47])/4 - (145*t[48])/192 - (139*t[49])/48 - 
       (425*t[50])/192 + (21*t[51])/32 + (425*t[52])/192 - (13*t[53])/16 - 
       (67*t[54])/192 - (3*t[59])/4 + (3601*t[60])/96 - (1063*t[61])/96 + 
       (2203*t[62])/192 - (6163*t[63])/192 - (6541*t[64])/192 - 
       (2911*t[65])/144 - (4333*t[66])/144 - (5*t[73])/4 + (23*t[74])/8 + 
       (7*t[75])/4 + (21*t[77])/8 + (13*t[78])/8 + (5*t[79])/4 - 4*t[80] + 
       (33*t[81])/16 - (157*t[82])/48 - (31*t[83])/12 + (85*t[84])/16 + 
       (193*t[85])/32 - (68*t[86])/3 - (2393*t[87])/96 - (2345*t[88])/192 + 
       (1259*t[89])/192 + t[95]/4 + (3*t[99])/2 + t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*((7*t[1])/12 - (13*t[4])/48 - 
       (5*t[5])/48 - t[6]/4 - (25*t[7])/24 - (25*t[8])/24 + (5*t[9])/48 + 
       (37*t[10])/12 - (91*t[11])/48 - (41*t[12])/48 - (41*t[13])/72 - 
       (3*t[14])/32 + (31*t[15])/96 - (7*t[26])/12 + t[36]/6 - (3*t[37])/2 + 
       (7*t[38])/12 + (3*t[46])/4 - t[48]/4 + (53*t[49])/24 - t[50]/4 - 
       (9*t[51])/32 + t[52]/4 - (29*t[53])/24 + (103*t[54])/48 - 
       (5*t[59])/24 - (23*t[60])/24 - (85*t[61])/24 + (203*t[62])/48 + 
       (103*t[63])/48 - 4*t[64] - (323*t[65])/144 - (167*t[66])/48 + 
       t[73]/2 + t[74]/3 + (5*t[75])/2 + t[79]/2 + t[81]/3 - t[82]/3 - 
       (17*t[83])/6 - (91*t[84])/48 - (67*t[85])/48 - (25*t[86])/6 - 
       (33*t[87])/16 - (151*t[88])/96 - (55*t[89])/48 + (4*t[95])/3 + 
       (5*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*
      (t[1]/12 - (13*t[4])/48 - (17*t[5])/48 - t[6]/4 + (5*t[7])/24 + 
       (5*t[8])/24 + (17*t[9])/48 - (85*t[10])/24 - (55*t[11])/48 + 
       (97*t[12])/48 + (85*t[13])/72 - (147*t[14])/32 + (61*t[15])/32 - 
       t[26]/12 + t[36]/6 + t[38]/12 + t[46]/4 - t[48]/4 + (13*t[49])/12 - 
       t[50]/4 + (43*t[51])/32 + t[52]/4 - t[53]/3 + (103*t[54])/48 - 
       t[59]/24 - (77*t[60])/24 - (205*t[61])/24 + (283*t[62])/48 - 
       (185*t[63])/48 + (11*t[64])/2 + (485*t[65])/144 + (35*t[66])/16 + 
       t[73]/2 - (2*t[74])/3 + (5*t[75])/2 - t[79]/2 + t[81]/3 - t[82]/3 - 
       (17*t[83])/6 - (91*t[84])/48 - (67*t[85])/48 + (5*t[86])/6 - 
       (25*t[87])/16 - (127*t[88])/96 + (35*t[89])/48 + (4*t[95])/3 + 
       (5*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*
      (-t[2]/6 + t[3]/6 - (169*t[4])/24 - (29*t[5])/32 + t[6]/2 + 
       (23*t[7])/48 + (37*t[8])/16 - (25*t[9])/96 - (659*t[10])/48 - 
       (187*t[11])/48 + (443*t[12])/96 + (5*t[13])/72 - (5389*t[14])/576 + 
       (671*t[15])/192 + t[24]/3 - t[25] + t[26] + t[27] + t[33]/3 - 
       (7*t[36])/4 + t[39] - t[48]/3 - (5*t[49])/12 - (2*t[50])/3 + 
       (743*t[51])/192 + (2*t[52])/3 + (23*t[53])/12 + (337*t[54])/48 - 
       (19*t[60])/4 - (259*t[61])/24 + (175*t[62])/32 - (127*t[63])/32 + 
       (1169*t[64])/48 - (121*t[65])/144 + (1613*t[66])/144 + t[69] + 
       (7*t[73])/4 - (21*t[75])/4 - (7*t[79])/4 - (2*t[82])/3 + (5*t[83])/2 - 
       (75*t[84])/16 - (59*t[85])/16 + (13*t[86])/4 - (29*t[87])/4 - 
       (29*t[88])/8 + (19*t[89])/12 + 3*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      (t[1]/12 + (23*t[4])/48 + t[5]/12 - t[6]/16 - (7*t[7])/24 - 
       (7*t[8])/24 - t[9]/12 - (89*t[10])/48 + (7*t[11])/24 + (97*t[12])/48 + 
       (139*t[13])/72 - (251*t[14])/96 + (7*t[15])/24 - t[26]/12 - t[36]/3 + 
       t[38]/12 + t[46]/4 - t[48]/16 - (35*t[49])/48 - t[50]/16 + 
       (11*t[51])/32 + t[52]/16 + (35*t[53])/48 - (13*t[54])/24 - t[59]/24 + 
       (61*t[60])/24 - (65*t[61])/12 + (29*t[62])/6 - (151*t[63])/24 + 
       (27*t[64])/16 + (397*t[65])/144 + (145*t[66])/48 + t[73]/2 - t[74]/6 + 
       (5*t[75])/2 - t[79]/2 + t[81]/12 - t[82]/12 - (10*t[83])/3 + 
       (29*t[84])/48 + (35*t[85])/48 - (7*t[86])/6 + (25*t[87])/16 + 
       (71*t[88])/96 + (155*t[89])/48 + t[95]/3 + 4*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((-5*t[1])/3 + t[2] - t[3] + (13*t[4])/6 + (5*t[5])/4 - (2*t[6])/3 - 
       (11*t[7])/12 - (143*t[8])/12 + (23*t[9])/4 + (19*t[10])/4 - 
       (29*t[11])/6 - (19*t[12])/12 - (161*t[13])/36 - (53*t[14])/18 + 
       (77*t[15])/72 - 2*t[24] - (13*t[25])/6 + (23*t[26])/6 + (13*t[27])/6 - 
       2*t[33] + (8*t[36])/3 - t[37] - (5*t[38])/3 + (13*t[39])/6 - 
       (3*t[46])/2 - (5*t[48])/6 - t[49]/3 + (7*t[50])/6 + (9*t[51])/4 - 
       (7*t[52])/6 - (8*t[53])/3 + t[54]/4 + (5*t[59])/6 - (15*t[60])/2 + 
       (13*t[61])/6 + (47*t[62])/12 + (77*t[63])/4 - (65*t[64])/6 - 
       (35*t[65])/12 + (145*t[66])/36 - 2*t[73] + t[74]/3 - 10*t[75] + 
       3*t[79] + t[81]/3 - t[82]/6 + (20*t[83])/3 - (13*t[84])/12 - 
       (7*t[85])/4 - (35*t[86])/3 - (25*t[87])/12 - (41*t[88])/24 + t[89]/4 + 
       (4*t[95])/3 + 4*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3*(t[1]/24 + t[2]/4 - t[3]/6 + (5*t[4])/6 + 
       (71*t[5])/96 - t[6]/24 + (9*t[7])/16 - (137*t[8])/48 + (89*t[9])/96 - 
       (31*t[10])/48 + (71*t[11])/48 - (41*t[12])/96 - (11*t[13])/24 - 
       (13*t[14])/72 - (157*t[15])/576 - t[24]/2 - (7*t[25])/12 + 
       (5*t[26])/12 - t[27]/12 - t[33]/2 - (5*t[36])/4 - t[37]/2 + t[38]/6 - 
       t[39]/12 - t[40]/4 + t[45]/4 + (7*t[46])/8 - t[47]/2 - t[48]/12 - 
       (85*t[49])/48 + (5*t[50])/6 - (43*t[51])/48 - (5*t[52])/6 + 
       (7*t[53])/48 - (33*t[54])/16 - (3*t[59])/8 - (31*t[60])/24 - 
       (55*t[61])/48 - (29*t[62])/12 - (8*t[63])/3 + (55*t[64])/32 - 
       (193*t[65])/144 + (121*t[66])/144 - t[73]/4 + (3*t[74])/2 - 
       (5*t[75])/4 + t[77]/4 + t[78]/4 + t[79]/4 - t[81]/2 + (11*t[82])/12 + 
       (5*t[83])/3 + (23*t[84])/48 - t[85]/48 + t[86]/12 + (13*t[87])/6 + 
       (13*t[88])/12 + (35*t[89])/24 + t[95]/2 + 3*t[99] + 4*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      ((19*t[1])/16 - t[2]/4 + (7*t[3])/8 + (301*t[4])/16 + (127*t[5])/192 + 
       (419*t[6])/192 - (3*t[7])/8 - 7*t[8] - (343*t[9])/192 + 
       (319*t[10])/12 - (797*t[11])/64 - (4033*t[12])/192 - (773*t[13])/288 + 
       (1459*t[14])/144 - (3029*t[15])/1152 - t[24]/4 - (11*t[25])/24 - 
       (11*t[26])/12 - (49*t[27])/24 - t[33]/4 - t[35]/2 + t[36]/8 - 
       (7*t[37])/8 + (11*t[38])/8 - t[39]/24 - (3*t[40])/8 - t[45]/8 - 
       (23*t[46])/4 + t[47]/4 - (353*t[48])/192 + (325*t[49])/24 + 
       (439*t[50])/192 - (79*t[51])/32 - (439*t[52])/192 - (409*t[53])/24 - 
       (695*t[54])/192 - (41*t[59])/24 + (205*t[60])/96 + (559*t[61])/96 - 
       (2165*t[62])/192 + (3229*t[63])/192 - (5783*t[64])/192 - 
       (583*t[65])/72 - (533*t[66])/72 - t[73] - (5*t[74])/8 - 3*t[75] + 
       3*t[76] + (3*t[77])/8 + (3*t[78])/8 - t[79] + 2*t[80] + 
       (25*t[81])/16 - (125*t[82])/48 + (27*t[83])/4 + (3*t[84])/4 + 
       (133*t[85])/96 + (9*t[86])/4 - (769*t[87])/96 - (769*t[88])/192 - 
       (1957*t[89])/192 - t[95]/4 + (9*t[99])/2 + 6*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*((39*t[1])/16 + (31*t[3])/8 + 
       (593*t[4])/48 + (1349*t[5])/192 - (937*t[6])/192 + (61*t[7])/48 + 
       (247*t[8])/48 - (2333*t[9])/192 + (199*t[10])/48 - (141*t[11])/64 - 
       (3647*t[12])/192 - (2597*t[13])/288 + (4127*t[14])/576 - 
       (2599*t[15])/1152 + (3*t[24])/4 - (35*t[25])/24 - (17*t[26])/12 - 
       t[27]/24 - t[28] - 2*t[31] + (3*t[33])/4 + (5*t[35])/2 - 
       (17*t[36])/8 - (25*t[37])/24 + (23*t[38])/8 - (49*t[39])/24 + 
       (17*t[40])/8 - (13*t[45])/8 - (3*t[46])/4 + (13*t[47])/4 + 
       (19*t[48])/192 + (77*t[49])/4 + (523*t[50])/192 - (529*t[51])/64 - 
       (523*t[52])/192 - (179*t[53])/12 - (381*t[54])/64 - (29*t[59])/24 + 
       (329*t[60])/96 - (721*t[61])/96 - (1149*t[62])/64 + (693*t[63])/64 - 
       (1751*t[64])/192 - (1379*t[65])/144 + (1655*t[66])/144 + (3*t[73])/4 - 
       t[74]/8 - (17*t[75])/4 - (17*t[77])/8 - (9*t[78])/8 - (7*t[79])/4 + 
       4*t[80] - (43*t[81])/16 + (127*t[82])/48 + (31*t[83])/6 - 
       (17*t[84])/48 - (3*t[85])/32 + (149*t[86])/6 - (461*t[87])/96 - 
       (413*t[88])/192 - (355*t[89])/64 + (3*t[95])/4 + (9*t[99])/2 + 
       7*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((11*t[1])/3 - 13*t[2] + 11*t[3] - 
       (221*t[4])/12 + (79*t[5])/2 - (337*t[6])/12 - (23*t[7])/6 - 
       (299*t[8])/6 - (85*t[9])/2 + (179*t[10])/4 - (26*t[11])/3 - 
       (269*t[12])/12 - (83*t[13])/3 - (116*t[14])/9 + (431*t[15])/36 - 
       (16*t[25])/3 - (7*t[26])/3 - (32*t[27])/3 - 2*t[34] - (68*t[36])/3 - 
       6*t[37] + (23*t[38])/3 - (26*t[39])/3 - 2*t[40] + t[41] - t[42] + 
       6*t[45] - 12*t[47] - (185*t[48])/12 + (337*t[49])/12 - 
       (113*t[50])/12 - (3*t[51])/4 - (55*t[52])/12 - (193*t[53])/12 - 
       14*t[54] - 2*t[58] - (17*t[59])/6 - (103*t[60])/2 + (59*t[61])/6 - 
       (1151*t[62])/12 - (53*t[63])/4 + (653*t[64])/6 - (977*t[65])/12 + 
       (1259*t[66])/36 + 4*t[72] + 2*t[73] + (50*t[74])/3 - 14*t[75] + 
       30*t[76] + 10*t[77] - 22*t[78] - 6*t[79] + 20*t[80] - (25*t[81])/3 - 
       (19*t[82])/3 + (82*t[83])/3 - (539*t[84])/12 - (79*t[85])/4 + 
       (50*t[86])/3 - (317*t[87])/12 - (361*t[88])/24 - (147*t[89])/4 + 
       (20*t[95])/3 + 12*t[96] + 10*t[97] + 192*t[98] - 120*t[99] + 8*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      (-10*t[1] - 39*t[2] - (57*t[3])/8 + (181*t[4])/8 - (1411*t[5])/24 + 
       (815*t[6])/48 + (401*t[7])/8 - (171*t[8])/8 + (925*t[9])/24 - 
       (3215*t[10])/48 + (465*t[11])/16 - (187*t[12])/48 + (1759*t[13])/48 - 
       (475*t[14])/288 - (4115*t[15])/144 + 2*t[19] - 4*t[21] + 4*t[22] + 
       4*t[23] + 13*t[24] + (23*t[25])/3 - (5*t[26])/3 - (23*t[27])/3 - 
       16*t[28] - t[29]/2 + 3*t[30] + 2*t[31] + 2*t[32] - 3*t[33] + 2*t[34] + 
       6*t[35] + 16*t[36] - 4*t[37] - 8*t[38] - (5*t[39])/3 + 9*t[40] + 
       2*t[41] - 2*t[42] - (107*t[43])/8 - (7*t[44])/4 - (31*t[45])/4 - 
       4*t[46] + (51*t[47])/2 + (403*t[48])/48 + (17*t[49])/48 - 
       (41*t[50])/48 + (331*t[51])/32 - (439*t[52])/48 - (593*t[53])/48 - 
       (977*t[54])/48 + 6*t[57] + (15*t[59])/2 + (188*t[60])/3 + 
       (655*t[61])/6 - (391*t[62])/3 - (44*t[63])/3 - (1127*t[64])/12 + 
       (905*t[65])/18 - (961*t[66])/9 + 2*t[70] - 2*t[71] - 4*t[73] - 
       18*t[74] + 2*t[75] - 2*t[76] + 4*t[77] - 4*t[78] - 8*t[79] - 
       42*t[80] + 5*t[81] - (32*t[82])/3 + 24*t[83] + (7*t[84])/2 + 
       (14*t[85])/3 + 62*t[86] - (8*t[87])/3 + (53*t[88])/3 + (55*t[89])/6 - 
       8*t[95] - 4*t[96] + 3*t[97] - 24*t[98] - 28*t[99] + 8*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (t[1] - (79*t[2])/2 + 47*t[3] + (213*t[4])/8 + (991*t[5])/48 - 
       (383*t[6])/24 - (371*t[7])/4 + (69*t[8])/2 - (5413*t[9])/48 - 
       (215*t[10])/48 - 13*t[11] - (683*t[12])/24 - (25*t[13])/24 - 
       (20623*t[14])/288 - (1883*t[15])/96 - 4*t[21] + 6*t[22] + 4*t[23] + 
       11*t[24] + (8*t[25])/3 - (8*t[26])/3 + (58*t[27])/3 + (3*t[29])/2 - 
       8*t[30] - 2*t[31] + 3*t[32] - 11*t[33] - 2*t[34] + 24*t[35] - 
       14*t[36] + 12*t[37] + (25*t[39])/3 + (11*t[40])/2 - t[41] + t[42] - 
       (31*t[43])/8 - (43*t[44])/4 - (5*t[45])/2 + 6*t[46] + 13*t[47] + 
       (431*t[48])/24 + (587*t[49])/48 - (901*t[50])/24 - (521*t[51])/32 + 
       (661*t[52])/24 - (1115*t[53])/48 - (185*t[54])/12 + 6*t[57] + 
       (11*t[59])/2 - (731*t[60])/24 - (1817*t[61])/24 + (6197*t[62])/48 + 
       (1843*t[63])/48 + (3967*t[64])/48 + (947*t[65])/72 + (6109*t[66])/72 + 
       4*t[69] + 4*t[70] - 4*t[71] + 12*t[72] - 2*t[73] + 6*t[74] - 
       22*t[75] + t[76] - 8*t[77] - 17*t[78] + 15*t[79] - 33*t[80] - 
       11*t[81] + (94*t[82])/3 - 24*t[83] - (177*t[84])/8 + (409*t[85])/24 - 
       (119*t[86])/2 + (23*t[87])/24 + (887*t[88])/48 + (347*t[89])/48 - 
       4*t[95] - 4*t[96] + 3*t[97] - 24*t[98] - 28*t[99] + 8*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      ((17*t[1])/12 + (7*t[2])/12 + (35*t[3])/8 + (1685*t[4])/96 - 
       (173*t[6])/16 + (4*t[7])/3 + (31*t[8])/2 - (97*t[9])/24 - 
       (427*t[10])/64 + (311*t[11])/48 + (7*t[12])/192 - (5119*t[13])/864 + 
       (14653*t[14])/1152 - (4777*t[15])/576 + (3*t[24])/2 + (5*t[25])/4 - 
       (37*t[26])/12 + (7*t[27])/12 - t[28]/2 + t[30] - (11*t[31])/3 + 
       (3*t[33])/2 + t[34]/6 + 2*t[35] + (5*t[36])/2 + 5*t[37] + 
       (19*t[38])/12 - (15*t[39])/4 + (31*t[40])/12 - t[41]/12 + t[42]/12 + 
       t[43]/2 - t[44]/2 - (16*t[45])/3 - (41*t[46])/6 + (32*t[47])/3 + 
       (65*t[48])/48 + (915*t[49])/64 - (45*t[50])/16 - (327*t[51])/128 + 
       (45*t[52])/16 - (803*t[53])/64 + (275*t[54])/96 - t[58]/3 + 
       (79*t[59])/24 - (899*t[60])/96 - (307*t[61])/32 - (3227*t[62])/192 + 
       (6355*t[63])/192 - (3133*t[64])/192 - (559*t[65])/96 - 
       (2509*t[66])/96 + (20*t[69])/3 - (13*t[70])/2 + (13*t[71])/2 + 
       (5*t[72])/6 + 8*t[73] - (8*t[74])/3 - (47*t[75])/3 + (35*t[76])/6 - 
       (10*t[77])/3 - (23*t[78])/4 + t[79]/3 + (23*t[80])/2 - (7*t[81])/4 + 
       4*t[82] + 7*t[83] + (19*t[84])/96 + (479*t[85])/96 + 24*t[86] - 
       (421*t[87])/32 - (2335*t[88])/192 - (3881*t[89])/192 + 4*t[95] + 
       (5*t[96])/3 - t[97]/4 + 38*t[98] - 40*t[99] + 10*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*(t[1]/4 - (3*t[2])/4 + (5*t[3])/4 - 
       (3*t[4])/4 + (11*t[5])/48 - (185*t[6])/48 - (11*t[7])/4 + 
       (73*t[8])/4 - (407*t[9])/48 + (23*t[10])/12 + (59*t[11])/16 + 
       (79*t[12])/48 - (23*t[13])/3 - (5*t[14])/18 + (551*t[15])/288 + 
       3*t[24] - (31*t[25])/6 + (14*t[26])/3 + (31*t[27])/6 + 3*t[33] + 
       t[35] - (9*t[36])/2 + t[37]/2 + t[38]/2 + (19*t[39])/6 - t[40]/2 + 
       (3*t[45])/2 - 3*t[47] + (71*t[48])/48 + t[49]/3 - (217*t[50])/48 - 
       (23*t[51])/8 + (217*t[52])/48 - t[53]/3 + (185*t[54])/48 - t[59]/2 + 
       (173*t[60])/24 - (73*t[61])/24 + (187*t[62])/48 - (211*t[63])/48 + 
       (149*t[64])/48 + (77*t[65])/36 + (421*t[66])/36 + (9*t[74])/2 + 
       t[77]/2 + t[78]/2 + t[79] - 4*t[80] - (13*t[81])/4 + (113*t[82])/12 - 
       2*t[83] + (7*t[84])/4 + (65*t[85])/24 - 4*t[86] - (161*t[87])/24 - 
       (161*t[88])/48 + (247*t[89])/48 + t[95] + 6*t[99] + 12*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*
      ((5*t[1])/16 + t[2]/4 + (5*t[3])/8 + (93*t[4])/16 + (131*t[5])/64 - 
       (169*t[6])/64 - (9*t[7])/8 + t[8]/2 - (59*t[9])/64 - (23*t[10])/2 + 
       (669*t[11])/64 + (323*t[12])/64 + (2905*t[13])/288 - (257*t[14])/24 + 
       (1439*t[15])/384 + t[24]/4 - (9*t[25])/8 + t[26]/2 + (5*t[27])/8 + 
       t[33]/4 + t[35]/2 - (17*t[36])/8 - t[37]/8 + (5*t[38])/8 - 
       (3*t[39])/8 - (5*t[40])/8 + (9*t[45])/8 + t[46]/4 - (9*t[47])/4 - 
       (13*t[48])/64 - (7*t[49])/8 - (21*t[50])/64 + (121*t[51])/32 + 
       (21*t[52])/64 + (7*t[53])/8 + (21*t[54])/64 - (5*t[59])/8 + 
       (601*t[60])/32 - (917*t[61])/32 + (903*t[62])/64 - (2143*t[63])/64 + 
       (1149*t[64])/64 - (545*t[65])/72 - (25*t[66])/24 + t[72] - t[73] + 
       (21*t[74])/8 - 3*t[75] + 3*t[76] + (5*t[77])/8 + (5*t[78])/8 + t[79] - 
       2*t[80] - (25*t[81])/16 + (35*t[82])/16 + (19*t[83])/4 + 
       (13*t[84])/4 + (129*t[85])/32 - (17*t[86])/4 - (477*t[87])/32 - 
       (477*t[88])/64 + (543*t[89])/64 + t[95]/4 + (15*t[99])/2 + 12*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((39*t[1])/8 - (5*t[2])/6 - (53*t[3])/12 + (97*t[4])/24 - 
       (527*t[5])/96 + (689*t[6])/96 + (16*t[7])/3 + (29*t[8])/4 + 
       (85*t[9])/32 + (185*t[10])/24 + (923*t[11])/96 - (297*t[12])/32 - 
       (947*t[13])/144 + (41*t[14])/48 + (2197*t[15])/576 + 2*t[19] - 
       2*t[20] - 2*t[21] + t[22] + 2*t[23] + (7*t[24])/6 - (47*t[25])/12 - 
       t[26]/3 - (25*t[27])/12 + t[29] + t[32] + t[33]/6 - t[34]/2 - 
       (25*t[36])/4 - (13*t[37])/4 + (19*t[38])/4 - t[39]/12 - (13*t[40])/4 - 
       t[41]/4 + t[42]/4 + (9*t[45])/4 - t[46] - (5*t[47])/2 - 
       (33*t[48])/32 + (29*t[49])/8 + (629*t[50])/96 + (5*t[51])/24 - 
       (389*t[52])/96 - (21*t[53])/8 - (589*t[54])/96 - (5*t[59])/2 - 
       (17*t[60])/48 + (71*t[61])/16 - (1015*t[62])/96 - (1073*t[63])/96 + 
       (161*t[64])/32 - 10*t[65] + (301*t[66])/18 + 2*t[72] + (25*t[74])/4 - 
       4*t[76] + (5*t[77])/4 + (39*t[78])/4 - 9*t[80] - (21*t[81])/8 + 
       (29*t[82])/24 + (15*t[84])/4 - (281*t[85])/48 - t[86]/2 + 
       (485*t[87])/48 + (485*t[88])/96 + (51*t[89])/32 + (5*t[95])/2 - 
       t[97]/2 - 24*t[98] + 39*t[99] + 12*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*((5*t[1])/8 + t[2]/2 + 2*t[3] - 
       (267*t[4])/8 + (275*t[5])/32 - (125*t[6])/32 - (15*t[7])/4 - 
       (323*t[9])/32 - 35*t[10] - (135*t[11])/32 + (531*t[12])/32 - 
       (769*t[13])/144 - (1481*t[14])/48 + (2783*t[15])/192 + t[24]/2 - 
       (9*t[25])/4 + t[26] + (5*t[27])/4 + t[28] + t[33]/2 + t[35] - 
       (13*t[36])/4 - t[37]/4 + (5*t[38])/4 + t[39]/4 - t[40]/4 + 
       (5*t[45])/4 + (3*t[46])/2 - (5*t[47])/2 + (31*t[48])/32 - 
       (13*t[49])/4 + (39*t[50])/32 + 17*t[51] - (39*t[52])/32 + 
       (37*t[53])/4 + (593*t[54])/32 - (5*t[59])/4 - (787*t[60])/16 - 
       (841*t[61])/16 + (671*t[62])/32 - (343*t[63])/32 + (2921*t[64])/32 - 
       (161*t[65])/36 + (343*t[66])/12 + 4*t[69] - t[73] + (13*t[74])/4 - 
       t[75] + t[77]/4 + (5*t[78])/4 + t[79] - 2*t[80] - (17*t[81])/8 + 
       (27*t[82])/8 + (17*t[83])/2 - 22*t[84] - (367*t[85])/16 - 
       (19*t[86])/2 - (41*t[87])/16 - (41*t[88])/32 - (373*t[89])/32 + 
       t[95]/2 + 9*t[99] + 15*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-7*t[2])/3 + (47*t[3])/6 - (41*t[4])/8 + (1249*t[5])/72 + 
       (3575*t[6])/288 - (115*t[7])/16 - (379*t[8])/16 - (2461*t[9])/72 + 
       (2909*t[10])/144 - (2767*t[11])/96 - (451*t[12])/18 - 
       (3289*t[13])/432 - (5101*t[14])/432 - (497*t[15])/432 + (5*t[24])/3 - 
       (43*t[25])/18 + (35*t[26])/36 - (77*t[27])/18 + 2*t[28] + 
       (5*t[33])/3 - 2*t[35] + (11*t[36])/6 - (61*t[37])/12 + (17*t[38])/12 + 
       (49*t[39])/18 - (5*t[40])/6 - (7*t[45])/6 + (31*t[46])/8 + 
       (7*t[47])/3 - (1409*t[48])/288 + (1099*t[49])/144 + (4111*t[50])/288 - 
       (95*t[51])/48 - (4111*t[52])/288 - (2053*t[53])/144 - 
       (3881*t[54])/288 - (71*t[59])/24 - (8201*t[60])/144 - 
       (1921*t[61])/72 - (8209*t[62])/288 + (4033*t[63])/288 + 
       (1705*t[64])/72 - (3463*t[65])/432 + (3799*t[66])/432 - t[73]/4 - 
       (67*t[74])/12 - (29*t[75])/4 + 3*t[76] + (5*t[77])/6 + (17*t[78])/6 - 
       (23*t[79])/4 + 12*t[80] + (169*t[81])/24 - (623*t[82])/72 + 
       (55*t[83])/3 - (123*t[84])/16 - (421*t[85])/72 + (41*t[86])/4 + 
       (4523*t[87])/144 + (4523*t[88])/288 - (4453*t[89])/288 - (7*t[95])/3 + 
       22*t[99] + 16*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2*((-23*t[1])/3 + (181*t[2])/12 - (443*t[3])/48 - 
       (3637*t[4])/24 - (2203*t[5])/32 + (7357*t[6])/96 + (467*t[7])/16 + 
       (309*t[8])/16 + (1521*t[9])/32 + (445*t[10])/48 - (13985*t[11])/96 + 
       (4973*t[12])/96 - (41329*t[13])/288 + (9119*t[14])/288 + 
       (12139*t[15])/576 - 3*t[24] - (59*t[25])/3 + (112*t[26])/3 - t[27]/3 + 
       6*t[28] + (7*t[29])/2 + (9*t[30])/2 + (13*t[31])/3 + t[32] - 4*t[33] - 
       (5*t[34])/6 + 4*t[35] - (19*t[36])/2 - (59*t[37])/6 - (44*t[38])/3 + 
       (5*t[39])/6 - (119*t[40])/12 + (5*t[41])/12 - (5*t[42])/12 + 
       (43*t[43])/8 + (17*t[44])/4 + (85*t[45])/24 - (2*t[46])/3 - 
       (73*t[47])/12 + (363*t[48])/32 - (17*t[49])/8 + (1303*t[50])/32 - 
       (551*t[51])/96 - (359*t[52])/32 + (221*t[53])/8 + (2865*t[54])/32 + 
       (19*t[58])/6 + (49*t[59])/12 - (13819*t[60])/48 - (521*t[61])/48 + 
       (7049*t[62])/96 + (25871*t[63])/96 + (11147*t[64])/96 + 
       (3385*t[65])/144 + (33719*t[66])/144 + 4*t[69] - (20*t[70])/3 + 
       (20*t[71])/3 - (20*t[72])/3 + 3*t[73] + t[74]/2 - 17*t[75] - 
       (175*t[76])/6 - (29*t[77])/6 + (119*t[78])/6 - t[79] - (181*t[80])/6 - 
       (149*t[81])/4 + (115*t[82])/12 - (103*t[83])/6 - (2357*t[84])/48 - 
       (1403*t[85])/48 + (59*t[86])/4 + (4115*t[87])/48 + (81*t[88])/32 - 
       (5789*t[89])/96 + 11*t[95] + (5*t[96])/3 - (27*t[97])/2 - 104*t[98] + 
       182*t[99] + 16*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(t[1]/2 + t[2]/3 + t[3]/6 - (257*t[4])/24 - 
       (289*t[5])/32 - (311*t[6])/24 + (223*t[7])/48 + (1127*t[8])/48 + 
       (707*t[9])/96 + (397*t[10])/48 + (403*t[11])/48 + (415*t[12])/96 - 
       (35*t[13])/24 + (4339*t[14])/576 + (449*t[15])/576 + (7*t[24])/3 + 
       (5*t[25])/3 - (8*t[26])/3 + (7*t[27])/3 - 2*t[28] + (7*t[33])/3 + 
       2*t[35] - (35*t[36])/4 + t[37] + t[38] - (11*t[39])/3 - 3*t[40] + 
       5*t[45] - t[46] - 10*t[47] - (17*t[48])/8 - (55*t[49])/12 - 
       (227*t[50])/24 - (889*t[51])/192 + (227*t[52])/24 + (55*t[53])/12 + 
       (455*t[54])/48 - t[59] + (47*t[60])/2 + (25*t[61])/8 - 
       (197*t[62])/32 - (3233*t[63])/96 + (2311*t[64])/48 + 
       (1127*t[65])/144 + (575*t[66])/48 + t[72] - t[73]/4 + 7*t[74] - 
       (29*t[75])/4 + 3*t[76] + 3*t[77] + t[78] + t[79]/4 - 12*t[80] - 
       (9*t[81])/2 + (55*t[82])/6 + (34*t[83])/3 + (101*t[84])/16 + 
       (539*t[85])/48 + (143*t[86])/12 - (31*t[87])/2 - (31*t[88])/4 + 
       (101*t[89])/8 - 2*t[95] + 24*t[99] + 20*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*((-4*t[1])/3 + t[2]/6 + 
       (11*t[3])/12 - (55*t[4])/24 + (161*t[5])/36 - (13*t[6])/288 + 
       t[7]/16 - (269*t[8])/48 - (79*t[9])/18 + (905*t[10])/144 - 
       (369*t[11])/32 - (13*t[12])/72 - (6991*t[13])/432 + (299*t[14])/432 + 
       (64*t[15])/27 - t[24]/3 - (79*t[25])/18 + (191*t[26])/36 + 
       (19*t[27])/18 - t[33]/3 - (25*t[36])/6 + (11*t[37])/12 - 
       (11*t[38])/12 + (19*t[39])/18 - (5*t[40])/6 + (5*t[45])/6 - 
       (9*t[46])/8 - (5*t[47])/3 - (53*t[48])/288 + (955*t[49])/144 + 
       (907*t[50])/288 - (61*t[51])/16 - (907*t[52])/288 - (973*t[53])/144 - 
       (197*t[54])/288 + (97*t[59])/24 - (2957*t[60])/144 - (427*t[61])/72 - 
       (1141*t[62])/288 + (5941*t[63])/288 + (31*t[64])/18 - 
       (1723*t[65])/432 + (15163*t[66])/432 + 2*t[69] - t[70] + t[71] + 
       (7*t[73])/4 + (29*t[74])/12 - (21*t[75])/4 + (5*t[77])/6 + 
       (5*t[78])/6 - (7*t[79])/4 - (71*t[81])/24 + (409*t[82])/72 + 
       (5*t[83])/2 - (277*t[84])/48 - (511*t[85])/72 + (19*t[86])/12 - 
       (217*t[87])/144 - (217*t[88])/288 - (1057*t[89])/288 + (5*t[95])/3 + 
       10*t[99] + 23*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*(t[1]/2 - (9*t[2])/4 + (13*t[3])/4 - t[4] + 3*t[5] + 
       (11*t[6])/2 - (19*t[7])/4 + (5*t[8])/4 - (69*t[9])/4 + (13*t[10])/4 - 
       (25*t[11])/4 - (27*t[12])/4 - (215*t[13])/72 - (85*t[14])/12 + 
       (5*t[15])/4 + 3*t[24] - t[26] - 6*t[27] + 3*t[33] - t[35] - 3*t[36] - 
       2*t[37] + t[38] - 4*t[39] - t[40] - (5*t[48])/4 + (7*t[49])/2 + 
       (13*t[50])/4 + t[51] - (13*t[52])/4 - (7*t[53])/2 - (17*t[54])/4 - 
       t[59] - (23*t[60])/2 - (31*t[61])/2 - (37*t[62])/4 - (3*t[63])/4 + 
       (9*t[64])/2 - (143*t[65])/12 + (39*t[66])/4 + 3*t[74] + t[77] + 
       t[78] - t[79] + 4*t[80] - t[81]/2 - (15*t[82])/2 + 2*t[83] - 
       (13*t[84])/4 + 2*t[85] + t[86] + (7*t[87])/2 + (7*t[88])/4 - 
       (9*t[89])/2 + 2*t[95] + 12*t[99] + 24*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*(t[1]/2 + t[3] - t[4] + 
       (77*t[5])/24 + t[6]/24 - t[7] - 5*t[8] - (101*t[9])/24 + 
       (10*t[10])/3 - (19*t[11])/8 - (59*t[12])/24 - (275*t[13])/36 - 
       (35*t[14])/9 + (185*t[15])/144 - (10*t[25])/3 + (7*t[26])/3 - 
       (2*t[27])/3 - 5*t[36] - t[37] + t[38] - (2*t[39])/3 - t[40] + t[45] - 
       2*t[47] - (19*t[48])/24 + (2*t[49])/3 + (53*t[50])/24 - t[51]/4 - 
       (53*t[52])/24 - (2*t[53])/3 - (85*t[54])/24 - t[59] - (73*t[60])/12 - 
       (163*t[61])/12 - (47*t[62])/24 - (121*t[63])/24 + (107*t[64])/24 - 
       (44*t[65])/9 + (182*t[66])/9 + 5*t[74] + t[77] + t[78] - (5*t[81])/2 + 
       (11*t[82])/6 - t[84] - t[85]/12 - 2*t[86] + (13*t[87])/12 + 
       (13*t[88])/24 + (25*t[89])/24 + 2*t[95] + 12*t[99] + 24*t[100])*
      \[Zeta][2] + Ot[u, v, w]*(t[1]/2 + t[3] - (5*t[4])/2 + (73*t[5])/24 + 
       (5*t[6])/24 - t[7] - 5*t[8] - (97*t[9])/24 + (11*t[10])/3 - 
       (35*t[11])/8 - (55*t[12])/24 - (229*t[13])/36 - (41*t[14])/18 + 
       (181*t[15])/144 - (5*t[25])/3 + (2*t[26])/3 - (7*t[27])/3 - 5*t[36] - 
       t[37] + t[38] - (7*t[39])/3 - t[40] + t[45] - 2*t[47] - 
       (23*t[48])/24 + t[49]/3 + (49*t[50])/24 - t[51]/4 - (49*t[52])/24 - 
       t[53]/3 - (65*t[54])/24 - t[59] - (77*t[60])/12 - (167*t[61])/12 - 
       (43*t[62])/24 - (125*t[63])/24 + (103*t[64])/24 - (40*t[65])/9 + 
       (190*t[66])/9 + 5*t[74] + t[77] + t[78] - (5*t[81])/2 + t[82]/6 - 
       t[84] - (5*t[85])/12 - 2*t[86] + (17*t[87])/12 + (17*t[88])/24 + 
       (29*t[89])/24 + 2*t[95] + 12*t[99] + 24*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      (t[1]/2 + (15*t[2])/4 - (11*t[3])/4 - t[4]/2 + (19*t[5])/4 - 
       (27*t[6])/4 + (23*t[7])/4 - (99*t[8])/4 + 18*t[9] + (9*t[10])/4 + 
       3*t[11] + 2*t[12] - (673*t[13])/72 + (7*t[14])/3 + (19*t[15])/24 - 
       6*t[24] - 3*t[25] + 2*t[26] + t[27] - 6*t[33] + t[35] - 7*t[36] + 
       t[38] - t[39] - t[40] + 2*t[45] - 4*t[47] - t[48]/2 - (5*t[49])/2 + 
       4*t[50] - (3*t[51])/4 - 4*t[52] + (5*t[53])/2 - 8*t[54] - t[59] - 
       t[60] - 9*t[61] + (11*t[62])/2 - (19*t[63])/2 + (23*t[64])/4 - 
       (17*t[65])/12 + (331*t[66])/12 + 7*t[74] + t[77] + t[78] + t[79] - 
       4*t[80] - (9*t[81])/2 + (9*t[82])/2 - 2*t[83] + (5*t[84])/4 - 
       (5*t[85])/2 - 5*t[86] - t[87] - t[88]/2 + (21*t[89])/4 + 2*t[95] + 
       12*t[99] + 24*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*((-3*t[1])/2 + (37*t[2])/8 + (25*t[3])/8 + 
       (85*t[4])/4 - (871*t[5])/48 - (533*t[6])/48 + 3*t[7] + (51*t[8])/4 + 
       (1033*t[9])/48 - (209*t[10])/24 + (41*t[11])/16 + (25*t[12])/48 + 
       (269*t[13])/144 + (137*t[14])/36 - (1927*t[15])/288 + t[24] + 
       (7*t[25])/3 - (7*t[26])/3 + (5*t[27])/3 - 3*t[28] - t[31] + t[33] + 
       2*t[34] + (5*t[35])/2 - 4*t[36] + (3*t[37])/2 - t[38] - (16*t[39])/3 - 
       t[41] + t[42] + (3*t[45])/2 - (17*t[46])/4 - 3*t[47] - (79*t[48])/48 - 
       (121*t[49])/24 - (91*t[50])/48 - (33*t[51])/4 + (187*t[52])/48 - 
       (95*t[53])/24 - (25*t[54])/48 - (4*t[59])/3 + (1439*t[60])/24 - 
       (631*t[61])/24 + (1549*t[62])/48 + (155*t[63])/48 - (2107*t[64])/48 + 
       (1963*t[65])/72 + (2687*t[66])/72 + (13*t[74])/2 + 3*t[75] - 8*t[76] - 
       2*t[77] + 8*t[78] + 4*t[79] - 12*t[80] - (9*t[81])/2 + (26*t[82])/3 - 
       (13*t[83])/4 + (199*t[84])/8 + (719*t[85])/24 + 10*t[86] - 
       (881*t[87])/24 - (857*t[88])/48 + (1063*t[89])/48 + t[95] - 6*t[96] - 
       4*t[97] - 48*t[98] + 48*t[99] + 27*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (5*t[1] + (19*t[2])/8 - (45*t[3])/8 + 16*t[4] + (311*t[5])/48 + 
       (1117*t[6])/48 - (21*t[8])/4 - (401*t[9])/48 - (7*t[10])/3 + 
       (95*t[11])/16 - (635*t[12])/48 + (63*t[13])/16 - (325*t[14])/144 - 
       (37*t[15])/288 - 2*t[24] - (11*t[25])/3 + (2*t[26])/3 - (7*t[27])/3 + 
       3*t[28] + t[31] - 2*t[33] - t[34] - (5*t[35])/2 - (5*t[37])/2 + 
       4*t[38] + (11*t[39])/3 - 2*t[40] + t[41]/2 - t[42]/2 - (3*t[45])/2 + 
       (15*t[46])/4 + 3*t[47] + (287*t[48])/48 + (37*t[49])/12 + 
       (683*t[50])/48 + (47*t[51])/16 - (443*t[52])/48 - (43*t[53])/12 - 
       (787*t[54])/48 + t[58] - 3*t[59] - (217*t[60])/24 - (571*t[61])/24 - 
       (83*t[62])/48 - (2173*t[63])/48 - (1039*t[64])/48 - (1133*t[65])/72 - 
       (1717*t[66])/72 - 2*t[72] + 2*t[73] - (5*t[74])/2 + 3*t[75] - 
       7*t[76] + 6*t[78] - 4*t[79] + 2*t[80] + (7*t[81])/2 - (22*t[82])/3 - 
       (33*t[83])/4 + (35*t[84])/8 - (193*t[85])/24 - 10*t[86] + 
       (499*t[87])/24 + (523*t[88])/48 + (139*t[89])/48 + t[95] - t[97] - 
       48*t[98] + 48*t[99] + 27*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-35*t[1])/4 + (55*t[2])/3 - (47*t[3])/6 - (1981*t[4])/24 - 
       (1033*t[5])/16 + (719*t[6])/16 - (4*t[7])/3 + (127*t[8])/2 + 
       (1267*t[9])/48 + (1171*t[10])/48 - (6433*t[11])/48 + (23*t[12])/6 - 
       (1745*t[13])/18 + (3037*t[14])/288 + (1205*t[15])/96 + (13*t[24])/3 - 
       (27*t[25])/2 + 23*t[26] - t[27]/2 + 4*t[28] + 6*t[31] + (13*t[33])/3 + 
       2*t[34] - 2*t[35] - (25*t[36])/2 - (17*t[37])/2 - (19*t[38])/2 - 
       (3*t[39])/2 - (15*t[40])/2 - t[41] + t[42] + 4*t[44] + (21*t[45])/2 - 
       3*t[46] - 21*t[47] + (713*t[48])/48 + (877*t[49])/48 + 
       (625*t[50])/48 - (1073*t[51])/96 + (335*t[52])/48 - (157*t[53])/48 + 
       (2329*t[54])/48 + 2*t[58] - t[59] - (255*t[60])/2 - (176*t[61])/3 + 
       (965*t[62])/8 + (707*t[63])/8 + (961*t[64])/24 + (6487*t[65])/72 + 
       (11557*t[66])/72 - 6*t[70] + 6*t[71] - 6*t[72] + 12*t[73] + 
       (25*t[74])/2 - 8*t[75] - 16*t[76] - (15*t[77])/2 + (103*t[78])/2 - 
       8*t[79] - 34*t[80] - (33*t[81])/4 - (35*t[82])/12 - t[83] - 
       (67*t[84])/8 + (115*t[85])/4 + 11*t[86] + (175*t[87])/4 - 
       (41*t[88])/8 + (64*t[89])/3 + 9*t[95] - 8*t[96] - 13*t[97] - 
       48*t[98] + 126*t[99] + 30*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((-41*t[1])/3 + (5*t[2])/4 + (9*t[3])/4 - (28*t[4])/3 + (157*t[5])/24 - 
       (49*t[6])/3 - (8*t[7])/3 + (161*t[8])/6 - (211*t[9])/24 - 
       (155*t[10])/24 - (193*t[11])/12 + (107*t[12])/2 - (385*t[13])/24 - 
       (2645*t[14])/144 + (1727*t[15])/144 + 2*t[24] - t[25]/3 + 14*t[26] + 
       (16*t[27])/3 - t[28] - 2*t[31] + 2*t[33] + 5*t[35] - (4*t[36])/3 + 
       2*t[37] - (41*t[38])/3 - (5*t[39])/3 + 3*t[40] - (15*t[46])/2 + 
       (43*t[48])/12 + (71*t[49])/8 - (95*t[50])/12 + (7*t[51])/16 + 
       (95*t[52])/12 - (39*t[53])/8 + (73*t[54])/6 + (29*t[59])/3 - 
       (191*t[60])/12 - (81*t[61])/2 + (435*t[62])/8 + (31*t[63])/24 + 
       (31*t[64])/3 + (1057*t[65])/18 + (1019*t[66])/9 + 14*t[69] - 4*t[70] + 
       4*t[71] + 5*t[73] + t[74]/3 + 11*t[75] - 3*t[77] - 2*t[78] + 2*t[79] - 
       6*t[80] - (43*t[81])/6 + (19*t[82])/2 - (16*t[83])/3 - t[84]/3 + 
       t[85]/12 - (2*t[86])/3 - (23*t[87])/3 - 5*t[88] + (755*t[89])/24 + 
       (16*t[95])/3 - 6*t[99] + 31*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*Omega2[v, w, u]*(t[1] - (3*t[2])/2 + (9*t[3])/2 - 
       3*t[4] + (22*t[5])/3 + (49*t[6])/6 - 3*t[7] - 26*t[8] - (95*t[9])/6 + 
       (71*t[10])/6 - 15*t[11] - (43*t[12])/3 - (193*t[13])/36 - 
       (271*t[14])/18 - (5*t[15])/18 + (2*t[25])/3 - (8*t[26])/3 - 
       (26*t[27])/3 - 2*t[35] - 2*t[36] - 4*t[37] + 2*t[38] - (14*t[39])/3 - 
       2*t[40] + t[46] - (17*t[48])/3 + (37*t[49])/6 + (34*t[50])/3 + 
       3*t[51] - (34*t[52])/3 - (37*t[53])/6 - (38*t[54])/3 - 2*t[59] - 
       (100*t[60])/3 - (100*t[61])/3 - (55*t[62])/3 - (23*t[63])/3 + 
       (149*t[64])/6 - (355*t[65])/18 + (397*t[66])/18 + 2*t[77] + 2*t[78] - 
       4*t[79] + 8*t[80] + 3*t[81] - (29*t[82])/3 + 7*t[83] - (15*t[84])/2 - 
       (13*t[85])/3 + 8*t[86] + (46*t[87])/3 + (23*t[88])/3 - (65*t[89])/6 + 
       24*t[99] + 36*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*Omega2[w, u, v]*
      (t[1] + (3*t[2])/2 + (3*t[3])/2 - 11*t[4] + (29*t[5])/6 - (31*t[6])/3 + 
       3*t[8] - (7*t[9])/3 + (77*t[10])/6 - (11*t[11])/2 + t[12]/6 - 
       (133*t[13])/12 + (113*t[14])/18 + (83*t[15])/36 + (2*t[25])/3 - 
       (8*t[26])/3 - (2*t[27])/3 + 2*t[35] - 10*t[36] + 2*t[38] - 
       (14*t[39])/3 - 2*t[40] + 4*t[45] + t[46] - 8*t[47] - (7*t[48])/6 + 
       t[49]/6 - (13*t[50])/6 - 5*t[51] + (13*t[52])/6 - t[53]/6 + 
       (5*t[54])/6 - 2*t[59] + (17*t[60])/3 - (61*t[61])/3 + (13*t[62])/6 - 
       (97*t[63])/6 + (82*t[64])/3 + (23*t[65])/18 + (607*t[66])/18 + 
       8*t[74] + 2*t[77] + 2*t[78] - 8*t[80] - 5*t[81] + (7*t[82])/3 - 
       t[83] + (3*t[84])/2 + (14*t[85])/3 - 4*t[86] - (35*t[87])/3 - 
       (35*t[88])/6 + (26*t[89])/3 + 24*t[99] + 36*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (-5*t[1] - (17*t[2])/2 + 7*t[3] + 35*t[4] + (131*t[5])/24 - 
       (433*t[6])/12 - (49*t[7])/4 - (237*t[8])/4 - (623*t[9])/24 + 
       (319*t[10])/12 + (75*t[11])/2 - (257*t[12])/24 + (392*t[13])/9 - 
       (343*t[14])/72 - (521*t[15])/144 + (20*t[25])/3 - (14*t[26])/3 + 
       (4*t[27])/3 - 2*t[29] + 2*t[30] + 4*t[31] - 2*t[32] + 2*t[33] + 
       t[34] - 7*t[36] - 8*t[37] - 3*t[38] - (11*t[39])/3 + 3*t[40] - 
       t[41]/2 + t[42]/2 + t[43] - t[45] + (31*t[46])/2 - (275*t[48])/12 - 
       (295*t[49])/12 - (83*t[50])/12 - (161*t[51])/8 - (73*t[52])/12 - 
       (5*t[53])/12 - (113*t[54])/3 - t[58] - (2*t[59])/3 + (209*t[60])/3 + 
       (149*t[61])/12 - (817*t[62])/12 - (851*t[63])/12 + (1121*t[64])/24 + 
       (325*t[65])/36 - (277*t[66])/36 - 4*t[69] + 10*t[70] - 10*t[71] + 
       2*t[72] - 5*t[73] + 8*t[74] + t[75] + 6*t[76] + 5*t[77] - 5*t[78] - 
       5*t[79] + 4*t[80] - 2*t[81] - (11*t[82])/3 + 17*t[83] + (69*t[84])/4 + 
       (281*t[85])/12 + 25*t[86] - (47*t[87])/3 + (73*t[88])/6 + 
       (479*t[89])/12 - 10*t[95] - 4*t[96] + 5*t[97] + 44*t[98] - 86*t[99] + 
       50*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*((-17*t[1])/4 - (21*t[2])/4 + 11*t[3] + 
       (43*t[4])/2 + (199*t[5])/12 - (161*t[6])/24 - 8*t[7] - 44*t[8] - 
       (247*t[9])/12 - (197*t[10])/12 + (75*t[11])/8 + (20*t[12])/3 + 
       (52*t[13])/3 - (929*t[14])/36 + (197*t[15])/72 + 2*t[19] - 2*t[20] - 
       2*t[21] + 2*t[22] + 2*t[23] - 2*t[24] + (14*t[25])/3 - (7*t[26])/6 + 
       (4*t[27])/3 - t[28] + t[29] + 2*t[30] + t[31] + t[32] - 3*t[33] + 
       t[34]/2 - 3*t[37] - 4*t[38] - (11*t[39])/3 + 2*t[40] - (5*t[41])/4 + 
       (5*t[42])/4 + t[43] - t[45] + (5*t[46])/2 + 3*t[47] - (319*t[48])/24 - 
       (241*t[49])/12 + (293*t[50])/24 + (13*t[51])/8 - (353*t[52])/24 + 
       (43*t[53])/12 - (577*t[54])/24 + t[58]/2 + (13*t[59])/4 + 
       (185*t[60])/12 - (355*t[61])/12 + (145*t[62])/6 + (19*t[63])/3 - 
       (1009*t[64])/24 + (509*t[65])/18 + (746*t[66])/9 + 4*t[70] - 4*t[71] - 
       t[72] - 4*t[73] + t[74] + 2*t[75] - (33*t[76])/2 - 2*t[77] + 4*t[78] + 
       5*t[79] - 7*t[80] - (25*t[81])/2 + (53*t[82])/6 - (11*t[83])/2 + 
       (37*t[84])/4 - (25*t[85])/12 - 11*t[86] + (73*t[87])/12 + 
       (577*t[88])/24 + (307*t[89])/24 - 4*t[95] - 10*t[96] + t[97]/2 - 
       96*t[98] + 72*t[99] + 68*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      (-8*t[1] + 2*t[2] - (31*t[3])/4 + (39*t[4])/2 - (265*t[5])/24 + 
       (107*t[6])/12 + (21*t[7])/4 + (99*t[8])/4 - (257*t[9])/24 + 
       (103*t[10])/12 + (3*t[11])/2 + (379*t[12])/24 + (713*t[13])/24 + 
       (1193*t[14])/72 + (335*t[15])/144 + 2*t[19] + 2*t[20] + 2*t[21] - 
       2*t[23] + 2*t[24] + (20*t[25])/3 + (7*t[26])/3 - (2*t[27])/3 - t[28] - 
       t[29] + t[31] - t[32] + 3*t[33] + 4*t[35] + 2*t[36] - 3*t[37] - 
       (17*t[38])/2 - (31*t[39])/6 + t[40] + 2*t[41] - 2*t[42] + 2*t[44] - 
       3*t[45] - (5*t[46])/2 + 5*t[47] - (29*t[48])/12 - (37*t[49])/3 - 
       (71*t[50])/12 + t[51] + (47*t[52])/12 - (19*t[53])/6 + (7*t[54])/12 + 
       6*t[59] + (161*t[60])/3 + (265*t[61])/6 - (1361*t[62])/24 - 
       (1483*t[63])/24 - (511*t[64])/6 + (433*t[65])/36 - (2347*t[66])/36 + 
       4*t[70] - 4*t[71] - 2*t[73] + t[74] + 2*t[75] - 14*t[76] - t[77] + 
       11*t[78] - 15*t[79] + 2*t[80] - 2*t[81] - (44*t[82])/3 + 
       (11*t[83])/2 + 16*t[84] + (11*t[85])/3 + 29*t[86] - (17*t[87])/3 + 
       (103*t[88])/6 + (425*t[89])/12 - 4*t[95] - 7*t[96] + t[97] - 
       96*t[98] + 72*t[99] + 68*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-13*t[1])/2 - (17*t[2])/2 + (29*t[3])/2 + (149*t[4])/6 + 
       (171*t[5])/4 - (173*t[6])/24 + (23*t[7])/12 - (205*t[8])/12 - 
       (201*t[9])/4 - 38*t[10] + (1051*t[11])/24 + (289*t[12])/12 + 
       (1049*t[13])/18 - (7561*t[14])/144 + (421*t[15])/72 + (17*t[25])/3 + 
       (4*t[26])/3 + (7*t[27])/3 - 2*t[28] + 2*t[29] - 2*t[31] + 2*t[32] - 
       2*t[33] - 2*t[34] + 4*t[35] - 4*t[36] - 3*t[37] - 6*t[38] + 
       (4*t[39])/3 + 3*t[40] + t[41] - t[42] + 2*t[44] - 3*t[45] - 5*t[46] + 
       8*t[47] - (217*t[48])/24 + (7*t[49])/12 - (73*t[50])/24 + 
       (333*t[51])/16 - (167*t[52])/24 - (85*t[53])/12 - (457*t[54])/24 + 
       (11*t[59])/2 + (173*t[60])/8 - (113*t[61])/24 - (939*t[62])/16 - 
       (7807*t[63])/48 + (6227*t[64])/48 - (1285*t[65])/24 - 
       (3295*t[66])/72 + 4*t[69] + 4*t[70] - 4*t[71] + 3*t[72] + t[73] + 
       3*t[74] - 6*t[75] + 11*t[76] - t[77] - 23*t[78] - 5*t[79] + 10*t[80] + 
       t[82]/3 - (26*t[83])/3 - (123*t[84])/8 - (677*t[85])/24 + 
       (71*t[86])/3 - (53*t[87])/8 + (283*t[88])/16 - (235*t[89])/48 - 
       10*t[95] + 2*t[96] + 8*t[97] + 44*t[98] - 86*t[99] + 70*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((3*t[1])/2 + 3*t[3] - (15*t[4])/2 + (73*t[5])/8 + (5*t[6])/8 - 
       3*t[7] - 15*t[8] - (97*t[9])/8 + 11*t[10] - (105*t[11])/8 - 
       (55*t[12])/8 - (229*t[13])/12 - (41*t[14])/6 + (181*t[15])/48 - 
       5*t[25] + 2*t[26] - 7*t[27] - 15*t[36] - 3*t[37] + 3*t[38] - 7*t[39] - 
       3*t[40] + 3*t[45] - 6*t[47] - (23*t[48])/8 + t[49] + (49*t[50])/8 - 
       (3*t[51])/4 - (49*t[52])/8 - t[53] - (65*t[54])/8 - 3*t[59] - 
       (77*t[60])/4 - (167*t[61])/4 - (43*t[62])/8 - (125*t[63])/8 + 
       (103*t[64])/8 - (40*t[65])/3 + (190*t[66])/3 + 15*t[74] + 3*t[77] + 
       3*t[78] - (15*t[81])/2 + t[82]/2 - 3*t[84] - (5*t[85])/4 - 6*t[86] + 
       (17*t[87])/4 + (17*t[88])/8 + (29*t[89])/8 + 6*t[95] + 36*t[99] + 
       72*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(-7*t[1] + (33*t[2])/2 - 16*t[3] - (223*t[4])/8 - 
       (625*t[5])/12 + (427*t[6])/12 + 11*t[7] + 62*t[8] + (391*t[9])/12 - 
       (1141*t[10])/48 + 8*t[11] + (2659*t[12])/48 + (655*t[13])/72 + 
       (6751*t[14])/288 + (25*t[15])/144 - 2*t[24] + (25*t[25])/3 + 
       (5*t[26])/3 + (23*t[27])/3 - 2*t[29] - 2*t[31] - 2*t[32] + 4*t[34] + 
       6*t[35] - 6*t[37] - 11*t[38] - t[39]/3 - 3*t[40] - 2*t[41] + 2*t[42] - 
       4*t[44] - 6*t[45] + 3*t[46] + 10*t[47] + (77*t[48])/12 - 
       (2975*t[49])/48 + (101*t[50])/12 + (471*t[51])/32 + (19*t[52])/12 + 
       (1631*t[53])/48 + (961*t[54])/24 + 2*t[58] + (11*t[59])/2 - 
       (331*t[60])/24 + (989*t[61])/24 + (523*t[62])/48 - (1771*t[63])/48 + 
       (3689*t[64])/48 + (6061*t[65])/72 - (541*t[66])/72 + 8*t[69] - 
       2*t[70] + 2*t[71] + 16*t[72] + 4*t[73] + 4*t[74] - 50*t[76] - 
       4*t[77] + 37*t[78] - 12*t[79] - 18*t[80] - 14*t[81] - (19*t[82])/3 - 
       t[83] + (311*t[84])/8 - (283*t[85])/24 + 44*t[86] + (1195*t[87])/24 + 
       (2491*t[88])/48 + (1195*t[89])/48 - 8*t[95] - 22*t[96] - 11*t[97] - 
       336*t[98] + 264*t[99] + 84*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((8*t[1])/3 + 3*t[2] + 7*t[3] + (55*t[4])/3 + (155*t[5])/6 - 
       (359*t[6])/12 - (22*t[7])/3 + (125*t[8])/3 - (22*t[9])/3 - 
       (1135*t[10])/24 - (43*t[11])/6 - (153*t[12])/8 + (61*t[13])/4 - 
       (961*t[14])/144 - (445*t[15])/72 + (16*t[25])/3 - 5*t[26] + 
       (44*t[27])/3 - 4*t[29] - 4*t[31] + 4*t[35] - (8*t[36])/3 + 6*t[37] - 
       t[38]/3 + (8*t[39])/3 + 10*t[40] - (13*t[43])/2 - 19*t[45] - 9*t[46] + 
       38*t[47] + (197*t[48])/12 + (153*t[49])/8 - (115*t[50])/12 - 
       (13*t[51])/16 + (115*t[52])/12 - (97*t[53])/8 + (211*t[54])/12 + 
       (19*t[59])/6 + (347*t[60])/12 - (59*t[61])/4 + (1363*t[62])/8 + 
       (1811*t[63])/24 - (1655*t[64])/24 + (601*t[65])/9 + (1084*t[66])/9 + 
       6*t[72] - 58*t[73] + (2*t[74])/3 + 74*t[75] + 6*t[76] - 10*t[77] - 
       6*t[78] + 10*t[79] - (19*t[81])/3 + 25*t[82] + (46*t[83])/3 + 
       (10*t[84])/3 - (41*t[85])/6 - (166*t[86])/3 + (23*t[87])/3 + 3*t[88] + 
       (1129*t[89])/24 - (28*t[95])/3 - 32*t[99] + 87*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*((-255*t[1])/8 - (91*t[2])/12 - 
       (67*t[3])/6 + (935*t[4])/24 - (4565*t[5])/288 + (10499*t[6])/288 + 
       (7*t[7])/4 - 18*t[8] - (1651*t[9])/288 + (4165*t[10])/72 - 
       (3533*t[11])/96 + (26447*t[12])/288 + (20633*t[13])/432 - 
       (238*t[14])/27 + (17431*t[15])/1728 - (29*t[24])/6 + (823*t[25])/36 + 
       (128*t[26])/9 - (19*t[27])/36 + 6*t[31] - (29*t[33])/6 - 2*t[34] - 
       6*t[35] + (409*t[36])/12 + (41*t[37])/12 - (409*t[38])/12 - 
       (19*t[39])/36 - (19*t[40])/12 + t[41] - t[42] + (13*t[43])/4 + 
       t[45]/12 + (3*t[46])/2 - t[47]/6 - (4265*t[48])/288 - 
       (2287*t[49])/72 - (5153*t[50])/288 + (109*t[51])/48 + 
       (3425*t[52])/288 + (1747*t[53])/72 - (4919*t[54])/288 + 2*t[58] + 
       (81*t[59])/4 + (2977*t[60])/144 + (14299*t[61])/144 - 
       (8461*t[62])/288 - (33659*t[63])/288 - (21731*t[64])/288 + 
       (16577*t[65])/108 + (5203*t[66])/108 + 4*t[70] - 4*t[71] - 8*t[72] + 
       21*t[73] - (373*t[74])/12 - 25*t[75] - 22*t[76] + (67*t[77])/12 + 
       (283*t[78])/12 - t[79] - (83*t[81])/24 - (2069*t[82])/72 - 
       (65*t[83])/3 + (41*t[84])/2 + (2065*t[85])/144 - (3*t[86])/2 + 
       (3047*t[87])/144 + (19463*t[88])/288 + (24863*t[89])/288 - 
       (77*t[95])/6 - 12*t[96] + 6*t[97] - 72*t[98] - 17*t[99] + 91*t[100])*
      \[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - v]*(2*t[1] + 24*t[3] - 32*t[4] + 
       64*t[5] + 24*t[6] - 24*t[7] - 72*t[8] - 88*t[9] - 36*t[10] + 
       144*t[11] - 158*t[12] - (1024*t[13])/9 + 34*t[14] + (20*t[15])/3 - 
       32*t[25] + 28*t[26] - 144*t[36] - 128*t[37] + 18*t[38] + 80*t[46] + 
       36*t[49] + 48*t[50] - 22*t[51] - 48*t[52] - 36*t[53] - 48*t[54] - 
       88*t[59] - 152*t[60] + 88*t[61] - 188*t[62] - 260*t[63] + 96*t[64] - 
       (836*t[65])/3 - (256*t[66])/3 + 96*t[70] - 96*t[71] + 144*t[74] + 
       16*t[78] + 64*t[80] - 16*t[81] + 16*t[82] - 24*t[84] - 48*t[85] + 
       56*t[87] + 28*t[88] - 116*t[89] + 192*t[99] + 96*t[100])*\[Zeta][2] + 
     HPL[{0, 1, 1, 1, 1}, 1 - u]*(-16*t[3] - 88*t[4] + 4*t[5] + 36*t[6] + 
       16*t[7] - 16*t[8] + 12*t[9] - 100*t[10] - 140*t[11] + (808*t[13])/9 - 
       296*t[14] + (350*t[15])/3 - 48*t[36] - 32*t[40] + 32*t[45] - 
       80*t[46] - 64*t[47] + 12*t[48] + 4*t[49] + 12*t[50] + 68*t[51] - 
       12*t[52] - 4*t[53] - 12*t[54] + 64*t[60] - 224*t[61] + 348*t[62] - 
       100*t[63] + 248*t[64] + (832*t[65])/3 + (2048*t[66])/3 + 48*t[74] + 
       32*t[77] + 16*t[78] - 64*t[80] - 80*t[81] + 80*t[82] + 16*t[84] - 
       24*t[85] - 64*t[86] - 80*t[87] - 40*t[88] + 232*t[89] + 192*t[99] + 
       96*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*((65*t[1])/8 - (37*t[2])/12 - (11*t[3])/12 + 
       (479*t[4])/12 + (119*t[5])/32 - (37*t[6])/32 - (8*t[7])/3 - 
       (13*t[8])/4 - (2453*t[9])/96 + (1199*t[10])/48 + (1523*t[11])/96 - 
       (2597*t[12])/96 + (351*t[13])/16 - (4777*t[14])/288 + 
       (607*t[15])/192 + 2*t[19] - 2*t[20] - 2*t[21] + 2*t[23] + t[24]/6 + 
       (7*t[25])/4 - 9*t[26] - (7*t[27])/4 + 3*t[28] + t[31] + t[33]/6 - 
       t[34] - 4*t[35] - (29*t[36])/4 - (21*t[37])/4 + (33*t[38])/4 - 
       (15*t[39])/4 - (9*t[40])/4 + t[41]/2 - t[42]/2 - 2*t[44] - 
       (3*t[45])/4 + (3*t[46])/2 + (3*t[47])/2 - (907*t[48])/96 + 
       (77*t[49])/48 - (35*t[50])/96 - (229*t[51])/96 - (253*t[52])/96 - 
       (533*t[53])/48 - (2417*t[54])/96 - (11*t[59])/4 + (779*t[60])/16 - 
       (1489*t[61])/48 - (1287*t[62])/32 - (3569*t[63])/32 + 
       (1349*t[64])/96 + (1145*t[65])/72 + (2891*t[66])/72 + 4*t[70] - 
       4*t[71] + 3*t[72] + (33*t[74])/4 + 2*t[75] - 8*t[76] + (17*t[77])/4 + 
       (73*t[78])/4 - 5*t[79] + 2*t[80] - (29*t[81])/8 - (227*t[82])/24 + 
       (3*t[83])/2 + (103*t[84])/8 + (3*t[85])/16 + (57*t[86])/2 + 
       (241*t[87])/16 + (881*t[88])/32 + (4231*t[89])/96 - (7*t[95])/2 - 
       4*t[96] + 3*t[97] - 48*t[98] + 35*t[99] + 100*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-91*t[1])/24 - (47*t[2])/12 + (157*t[3])/12 + (395*t[4])/12 + 
       (4385*t[5])/288 - (827*t[6])/288 - (13*t[7])/2 - (241*t[8])/12 - 
       (8081*t[9])/288 - (233*t[10])/144 - (201*t[11])/32 - (257*t[12])/288 + 
       (19039*t[13])/432 - (41023*t[14])/864 - (247*t[15])/1728 + 2*t[19] + 
       2*t[20] + 2*t[21] - 2*t[22] - 2*t[23] + (5*t[24])/6 + (107*t[25])/36 - 
       (43*t[26])/18 - (203*t[27])/36 - t[28] - 2*t[30] - 3*t[31] + 
       (5*t[33])/6 + t[34] - (49*t[36])/12 - (41*t[37])/12 - (19*t[38])/12 - 
       (311*t[39])/36 + (19*t[40])/12 + t[41]/2 - t[42]/2 - t[43] - 
       (31*t[45])/12 - (15*t[46])/2 + (31*t[47])/6 - (2743*t[48])/288 - 
       (583*t[49])/144 + (113*t[50])/288 + (301*t[51])/32 - 
       (1553*t[52])/288 - (1793*t[53])/144 - (4957*t[54])/288 + 
       (13*t[59])/12 + (10853*t[60])/144 - (11113*t[61])/144 + 
       (3955*t[62])/288 - (26827*t[63])/288 + (21197*t[64])/288 + 
       (6647*t[65])/216 + (14245*t[66])/216 + 4*t[70] - 4*t[71] + t[72] - 
       2*t[73] + (37*t[74])/12 + 2*t[75] - 9*t[76] + (5*t[77])/12 + 
       (341*t[78])/12 + 5*t[79] + 2*t[80] - (49*t[81])/24 - (91*t[82])/72 - 
       (13*t[83])/2 + (497*t[84])/24 + (1313*t[85])/144 + (133*t[86])/6 + 
       (331*t[87])/144 + (5803*t[88])/288 + (12907*t[89])/288 - 
       (19*t[95])/6 - 10*t[96] + t[97] - 48*t[98] + 37*t[99] + 104*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-331*t[1])/24 - (41*t[2])/12 + (97*t[3])/3 + (859*t[4])/24 + 
       (9521*t[5])/288 - (19415*t[6])/288 - (23*t[7])/6 - (527*t[8])/12 - 
       (18401*t[9])/288 - (7243*t[10])/72 + (4193*t[11])/96 + 
       (16645*t[12])/288 + (48379*t[13])/432 - (38483*t[14])/432 - 
       (6691*t[15])/1728 + (29*t[24])/6 + (791*t[25])/36 - (259*t[26])/18 + 
       (373*t[27])/36 - 3*t[29] + 2*t[31] + (29*t[33])/6 + 4*t[34] + 
       6*t[35] + (131*t[36])/12 - (53*t[37])/12 - (91*t[38])/12 - 
       (275*t[39])/36 + (139*t[40])/12 - 2*t[41] + 2*t[42] + (13*t[44])/2 - 
       (91*t[45])/12 + (91*t[47])/6 - (6763*t[48])/288 - (4571*t[49])/72 + 
       (557*t[50])/288 + (207*t[51])/8 - (4013*t[52])/288 + (1619*t[53])/72 - 
       (4549*t[54])/288 + (7*t[59])/12 + (10667*t[60])/144 - 
       (21235*t[61])/144 + (15661*t[62])/288 - (50725*t[63])/288 + 
       (38963*t[64])/288 + (4645*t[65])/108 + (1091*t[66])/108 - 2*t[69] + 
       8*t[70] - 8*t[71] - 8*t[72] + 21*t[73] + (49*t[74])/12 - 29*t[75] - 
       20*t[76] - (91*t[77])/12 + (221*t[78])/12 + 19*t[79] - 4*t[80] - 
       (913*t[81])/24 + (1157*t[82])/72 - (32*t[83])/3 + (94*t[84])/3 + 
       (2987*t[85])/144 + (269*t[86])/6 + (3253*t[87])/144 + 
       (19669*t[88])/288 + (16189*t[89])/288 - (67*t[95])/6 - 16*t[96] - 
       72*t[98] - 7*t[99] + 111*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((7*t[1])/2 - t[2]/2 + 
       (29*t[3])/3 - (2227*t[4])/24 + (65*t[5])/72 - (1271*t[6])/72 + 
       (31*t[7])/3 - (77*t[8])/3 + (523*t[9])/72 + (2155*t[10])/144 - 
       (1645*t[11])/24 - (1135*t[12])/144 - (4741*t[13])/72 + 
       (599*t[14])/864 + (167*t[15])/108 - 8*t[19] - 8*t[20] - 8*t[21] + 
       4*t[22] + 8*t[23] - (2*t[24])/3 + (2*t[25])/9 - (41*t[26])/9 - 
       (56*t[27])/9 - 2*t[28] - 2*t[30] - (14*t[31])/3 - (2*t[33])/3 + 
       (4*t[34])/3 + 4*t[35] - (7*t[36])/3 + (11*t[37])/3 + (13*t[38])/3 - 
       (80*t[39])/9 - t[40] - (20*t[41])/3 + (20*t[42])/3 - t[43] + 6*t[44] + 
       5*t[45] + 12*t[46] - 10*t[47] - (175*t[48])/72 - (2575*t[49])/144 + 
       (281*t[50])/72 + (295*t[51])/96 - (281*t[52])/72 + (4639*t[53])/144 + 
       (1609*t[54])/36 + (4*t[58])/3 - 8*t[59] - (9233*t[60])/72 - 
       (8069*t[61])/72 + (1049*t[62])/144 + (8359*t[63])/144 + 
       (9091*t[64])/144 - (4171*t[65])/216 + (10543*t[66])/216 - 
       (10*t[70])/3 + (10*t[71])/3 - 4*t[72] - 4*t[73] + (13*t[74])/3 + 
       4*t[75] + (7*t[76])/3 - (5*t[77])/3 - (41*t[78])/3 - 8*t[79] - 
       18*t[80] - (41*t[81])/2 - (235*t[82])/18 + (20*t[83])/3 - 
       (973*t[84])/24 - (485*t[85])/72 - (22*t[86])/3 + (1589*t[87])/72 - 
       (523*t[88])/144 - (6007*t[89])/144 + (22*t[95])/3 + (22*t[96])/3 - 
       2*t[97] + 40*t[98] - 28*t[99] + 112*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      ((377*t[1])/24 + (25*t[2])/6 + (47*t[3])/6 - (57*t[4])/4 + 
       (8677*t[5])/288 + (95*t[6])/18 - (353*t[7])/48 + (67*t[8])/48 - 
       (9925*t[9])/288 + (3791*t[10])/144 - (1715*t[11])/48 - 
       (14467*t[12])/288 - (6719*t[13])/216 - (2497*t[14])/108 + 
       (27769*t[15])/1728 + (7*t[24])/6 - (377*t[25])/36 - (127*t[26])/36 - 
       (79*t[27])/36 + 5*t[28] + 2*t[29] + 2*t[31] + 2*t[32] - (5*t[33])/6 - 
       t[34] - 7*t[35] - (33*t[36])/4 - (29*t[37])/6 + (29*t[38])/2 + 
       (29*t[39])/36 - (67*t[40])/12 + t[41]/2 - t[42]/2 - 2*t[44] + 
       (103*t[45])/12 + (95*t[46])/8 - (91*t[47])/6 + (265*t[48])/72 + 
       (1249*t[49])/144 + (979*t[50])/72 - (779*t[51])/48 - (619*t[52])/72 - 
       (2563*t[53])/144 - (595*t[54])/144 + t[58] - (193*t[59])/24 - 
       (2263*t[60])/72 - (11801*t[61])/144 + (2953*t[62])/36 + 
       (887*t[63])/36 - (305*t[64])/288 - (10123*t[65])/432 + 
       (59815*t[66])/432 - 6*t[69] + 2*t[70] - 2*t[71] - (49*t[73])/4 + 
       (29*t[74])/2 + (79*t[75])/4 - 9*t[76] + (19*t[77])/12 + 
       (115*t[78])/12 + (53*t[79])/4 - 12*t[80] - 13*t[81] + (437*t[82])/36 - 
       (45*t[83])/2 - (733*t[84])/48 - (3467*t[85])/144 - (647*t[86])/12 + 
       (569*t[87])/36 - (55*t[88])/72 + (1859*t[89])/72 + (9*t[95])/2 + 
       2*t[96] - t[97] - 60*t[98] + 85*t[99] + (229*t[100])/2)*\[Zeta][2] + 
     HPL[{0, 1, 0, 1, 1}, 1 - w]*((5*t[1])/2 + 5*t[3] - t[4]/2 + 
       (397*t[5])/24 - (7*t[6])/24 - 5*t[7] - 25*t[8] - (517*t[9])/24 + 
       (47*t[10])/3 - (47*t[11])/8 - (307*t[12])/24 - (1513*t[13])/36 - 
       (437*t[14])/18 + (937*t[15])/144 - (65*t[25])/3 + (50*t[26])/3 + 
       (5*t[27])/3 - 25*t[36] - 5*t[37] + 5*t[38] + (5*t[39])/3 - 5*t[40] + 
       5*t[45] - 10*t[47] - (83*t[48])/24 + (13*t[49])/3 + (277*t[50])/24 - 
       (5*t[51])/4 - (277*t[52])/24 - (13*t[53])/3 - (485*t[54])/24 - 
       5*t[59] - (353*t[60])/12 - (803*t[61])/12 - (247*t[62])/24 - 
       (593*t[63])/24 + (547*t[64])/24 - (232*t[65])/9 + (886*t[66])/9 + 
       25*t[74] + 5*t[77] + 5*t[78] - (25*t[81])/2 + (85*t[82])/6 - 5*t[84] + 
       (7*t[85])/12 - 10*t[86] + (53*t[87])/12 + (53*t[88])/24 + 
       (113*t[89])/24 + 10*t[95] + 60*t[99] + 120*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((37*t[1])/2 + 24*t[2] + (91*t[3])/2 - (841*t[4])/8 + (4661*t[5])/48 - 
       (2047*t[6])/24 - (133*t[7])/4 - (121*t[8])/2 - (4487*t[9])/48 - 
       (3685*t[10])/48 - (175*t[11])/4 - (877*t[12])/24 + (1685*t[13])/72 - 
       (27245*t[14])/288 - (283*t[15])/288 - 6*t[19] + 4*t[20] + 6*t[21] + 
       2*t[22] - 6*t[23] + 9*t[24] + (28*t[25])/3 - (76*t[26])/3 + 
       (74*t[27])/3 + 22*t[28] + (9*t[29])/2 + 8*t[30] + 13*t[33] - 5*t[34] - 
       2*t[35] + 38*t[36] + 10*t[37] + 17*t[38] + (14*t[39])/3 + 
       (33*t[40])/2 - (7*t[41])/2 + (7*t[42])/2 + (63*t[43])/8 + 
       (99*t[44])/4 + (37*t[45])/2 + 14*t[46] - 26*t[47] + (55*t[48])/24 - 
       (1727*t[49])/48 - (5*t[50])/24 + (925*t[51])/32 - (19*t[52])/24 + 
       (2159*t[53])/48 + (59*t[54])/3 + 2*t[57] - (23*t[59])/2 - 
       (1789*t[60])/24 - (6175*t[61])/24 + (5755*t[62])/48 - (739*t[63])/48 + 
       (4841*t[64])/48 + (1777*t[65])/72 - (4729*t[66])/72 - 4*t[70] + 
       4*t[71] - 8*t[72] + 10*t[73] - 32*t[74] - 12*t[75] + 15*t[76] - 
       22*t[77] - 46*t[78] + 10*t[79] + t[80] + 3*t[81] + (32*t[82])/3 - 
       21*t[83] - (299*t[84])/8 + (671*t[85])/24 - (51*t[86])/2 + 
       (1057*t[87])/24 + (145*t[88])/48 + (133*t[89])/48 - 4*t[95] + 
       4*t[96] - 3*t[97] + 72*t[98] - 196*t[99] + 122*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((47*t[1])/3 - 3*t[2] - (19*t[3])/2 + (94*t[4])/3 - (263*t[5])/6 + 
       (159*t[6])/4 - (106*t[7])/3 - t[8]/3 + (46*t[9])/3 + (1603*t[10])/24 - 
       (122*t[11])/3 - (1529*t[12])/24 - (161*t[13])/9 - (295*t[14])/48 - 
       (145*t[15])/8 - 16*t[25] + t[26]/3 - 4*t[27] + 6*t[29] - 4*t[31] - 
       4*t[35] - (14*t[36])/3 + (35*t[38])/3 + 2*t[39] - 4*t[40] - 13*t[44] - 
       8*t[46] - (33*t[48])/4 - (275*t[49])/24 + (3*t[50])/4 + 
       (195*t[51])/16 - (3*t[52])/4 + (35*t[53])/24 - (109*t[54])/12 - 
       (11*t[59])/6 - (23*t[60])/12 + (143*t[61])/12 - (143*t[62])/24 + 
       (739*t[63])/24 - (1017*t[64])/8 - (563*t[65])/18 + (121*t[66])/6 + 
       8*t[69] + 4*t[72] - 50*t[73] - (76*t[74])/3 + 62*t[75] + 6*t[76] + 
       4*t[77] - 46*t[79] + 4*t[80] + (74*t[81])/3 - (68*t[82])/3 + 
       (160*t[83])/3 - (61*t[84])/6 + (71*t[85])/6 - (58*t[86])/3 + 
       18*t[87] + (49*t[88])/6 - (385*t[89])/24 - (16*t[95])/3 - 8*t[99] + 
       135*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((7*t[1])/2 - (5*t[2])/2 + (39*t[3])/2 + 
       (389*t[4])/8 + (189*t[5])/4 - (325*t[6])/8 - (53*t[7])/4 + 
       (11*t[8])/4 - (239*t[9])/4 + (761*t[10])/16 + (277*t[11])/8 - 
       (527*t[12])/16 + (1547*t[13])/72 - (531*t[14])/32 - (205*t[15])/48 + 
       2*t[24] - t[25] - 4*t[26] + 9*t[27] - 2*t[31] + 2*t[33] - 8*t[36] + 
       t[37] + 5*t[38] - 7*t[39] + 3*t[40] - 2*t[44] + 3*t[45] + 4*t[46] - 
       6*t[47] - (93*t[48])/8 - (105*t[49])/16 - (61*t[50])/8 - 
       (855*t[51])/32 - (3*t[52])/8 - (223*t[53])/16 - (135*t[54])/2 - 
       2*t[59] + (869*t[60])/8 - (235*t[61])/8 + (125*t[62])/16 - 
       (1573*t[63])/16 + (97*t[64])/16 + (1517*t[65])/24 + (3607*t[66])/24 - 
       2*t[69] + 4*t[70] - 4*t[71] - 2*t[72] - 3*t[73] + 9*t[74] - 9*t[75] + 
       t[77] - 3*t[78] + 13*t[79] - 6*t[80] - (33*t[81])/2 + (39*t[82])/2 - 
       4*t[83] + (353*t[84])/8 + (411*t[85])/8 + 11*t[86] - (49*t[87])/8 + 
       (271*t[88])/16 + (1435*t[89])/16 - 10*t[95] - 4*t[96] + 4*t[97] - 
       26*t[99] + (279*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u]*((-29*t[1])/24 + (14*t[2])/3 + (91*t[3])/6 + 
       (229*t[4])/24 + (1273*t[5])/288 + (148*t[6])/9 - (203*t[7])/16 + 
       (1651*t[8])/48 - (3121*t[9])/288 - (305*t[10])/72 - (1295*t[11])/48 + 
       (3959*t[12])/288 - (8207*t[13])/216 - (5693*t[14])/864 - 
       (31055*t[15])/1728 + (7*t[24])/6 - (89*t[25])/36 + (149*t[26])/36 - 
       (31*t[27])/36 + 8*t[28] + 2*t[29] - 4*t[30] - 4*t[31] + 2*t[32] - 
       (5*t[33])/6 - (3*t[34])/2 - 2*t[35] - (131*t[36])/12 + t[37]/6 - 
       (7*t[38])/6 - (31*t[39])/36 - (67*t[40])/12 + (3*t[41])/4 - 
       (3*t[42])/4 - (5*t[43])/4 - (161*t[45])/12 + (15*t[46])/8 + 
       (173*t[47])/6 + (649*t[48])/72 + (659*t[49])/72 + (43*t[50])/72 - 
       (525*t[51])/32 + (497*t[52])/72 - (79*t[53])/9 + (47*t[54])/144 - 
       t[58]/2 + (3*t[59])/8 - (2945*t[60])/36 - (17807*t[61])/144 + 
       (4669*t[62])/144 + (1475*t[63])/144 + (16681*t[64])/288 + 
       (12359*t[65])/432 + (65329*t[66])/432 + 8*t[69] - 2*t[70] + 4*t[71] - 
       2*t[72] + (55*t[73])/4 + (37*t[74])/6 - (109*t[75])/4 + (13*t[76])/2 + 
       (7*t[77])/12 - (227*t[78])/12 + (29*t[79])/4 + 4*t[80] - 
       (40*t[81])/3 + (263*t[82])/36 - (79*t[83])/2 - (319*t[84])/48 + 
       (1855*t[85])/144 + (61*t[86])/12 + (2305*t[87])/72 + 
       (2305*t[88])/144 + (5545*t[89])/144 + (7*t[95])/6 - (3*t[97])/2 + 
       68*t[98] - 85*t[99] + 140*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*((113*t[1])/12 + (29*t[2])/3 - 
       (59*t[3])/3 + (253*t[4])/24 - (1429*t[5])/48 + (2999*t[6])/48 - 
       (7*t[7])/6 + (451*t[8])/6 - (227*t[9])/48 + (2687*t[10])/48 - 
       (1223*t[11])/48 - t[12]/24 + (253*t[13])/54 + (151*t[14])/288 + 
       (61*t[15])/288 + 2*t[19] + 2*t[20] + 2*t[21] - 2*t[23] - 
       (23*t[25])/6 + (8*t[26])/3 + (5*t[27])/2 + 6*t[28] - 4*t[30] - 
       (26*t[31])/3 - (2*t[34])/3 - 12*t[35] - (3*t[36])/2 - (85*t[37])/6 + 
       (19*t[38])/6 - t[39]/6 - (47*t[40])/6 + (7*t[41])/3 - (7*t[42])/3 - 
       2*t[43] - 8*t[44] - (19*t[45])/6 - 4*t[46] + (19*t[47])/3 + 
       (955*t[48])/48 - (827*t[49])/48 + (225*t[50])/16 + (265*t[51])/96 + 
       (31*t[52])/16 + (41*t[53])/16 + (19*t[54])/48 + (7*t[58])/3 - 
       t[59]/3 - (15*t[60])/4 - (55*t[61])/6 + (195*t[62])/8 - 
       (903*t[63])/8 - (1567*t[64])/24 + (6629*t[65])/72 + (677*t[66])/24 + 
       8*t[69] - (10*t[70])/3 + (10*t[71])/3 + 16*t[72] + 8*t[73] - 
       (9*t[74])/2 - 10*t[75] - (116*t[76])/3 + (37*t[77])/6 + 
       (223*t[78])/6 + 21*t[79] - 12*t[80] - (85*t[81])/12 - (73*t[82])/12 + 
       (26*t[83])/3 + (275*t[84])/8 - (87*t[85])/4 + 6*t[86] + 
       (1115*t[87])/12 + (1603*t[88])/24 + (1273*t[89])/24 - t[95] - 
       (38*t[96])/3 - 7*t[97] - 248*t[98] + 214*t[99] + 143*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-73*t[1])/3 + (61*t[2])/6 - (16*t[3])/3 - (1399*t[4])/12 - 
       (365*t[5])/24 - (143*t[6])/24 + 15*t[7] + 3*t[8] + (689*t[9])/24 - 
       (74*t[10])/3 - (4231*t[11])/24 + (163*t[12])/8 - (3581*t[13])/36 + 
       (241*t[14])/144 + (533*t[15])/48 + 4*t[19] - 2*t[22] - 11*t[25] + 
       (109*t[26])/3 - t[27] - 12*t[28] + 8*t[30] + (62*t[31])/3 - 
       (5*t[34])/3 + 24*t[35] + 21*t[36] + (7*t[37])/3 - (76*t[38])/3 + 
       (10*t[39])/3 - t[40]/3 + (11*t[41])/6 - (11*t[42])/6 + 4*t[43] + 
       18*t[44] + t[45]/3 - (10*t[46])/3 - (2*t[47])/3 + (61*t[48])/24 + 
       (679*t[49])/12 + (277*t[50])/24 - (1475*t[51])/48 + (179*t[52])/24 - 
       (79*t[53])/12 + (1753*t[54])/24 - (5*t[58])/3 + (61*t[59])/6 - 
       (5021*t[60])/24 - (603*t[61])/8 + (2605*t[62])/16 + (16273*t[63])/48 + 
       (979*t[64])/48 + (6887*t[65])/72 + (16387*t[66])/72 - 4*t[69] - 
       (28*t[70])/3 + (28*t[71])/3 - (70*t[72])/3 - 10*t[73] - 25*t[74] - 
       18*t[75] + (83*t[76])/3 - (56*t[77])/3 - (46*t[78])/3 - 24*t[79] - 
       (82*t[80])/3 + (19*t[81])/2 + (125*t[82])/6 + (65*t[83])/3 - 
       (1235*t[84])/24 + (105*t[85])/8 - 6*t[86] - (201*t[87])/8 - 
       (4523*t[88])/48 - (451*t[89])/48 + 30*t[95] + (64*t[96])/3 - 7*t[97] + 
       232*t[98] - 260*t[99] + 144*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*(3*t[1] - 4*t[2] + 10*t[3] + 
       3*t[4] + (81*t[5])/4 - (3*t[6])/4 - 14*t[7] + 6*t[8] - (217*t[9])/4 + 
       14*t[10] + (23*t[11])/4 - (79*t[12])/4 - (75*t[13])/2 - (73*t[14])/3 + 
       (79*t[15])/8 + 8*t[24] - 14*t[25] + 8*t[26] - 10*t[27] + 8*t[33] - 
       30*t[36] - 6*t[37] + 6*t[38] - 10*t[39] - 6*t[40] + 6*t[45] - 
       12*t[47] + t[48]/4 + 14*t[49] + (41*t[50])/4 - (7*t[51])/2 - 
       (41*t[52])/4 - 14*t[53] - (121*t[54])/4 - 6*t[59] - (85*t[60])/2 - 
       (143*t[61])/2 - (35*t[62])/4 - (133*t[63])/4 + (127*t[64])/4 - 
       (128*t[65])/3 + 116*t[66] + 30*t[74] + 6*t[77] + 6*t[78] - 15*t[81] + 
       21*t[82] - 6*t[84] - (13*t[85])/2 - 12*t[86] + (25*t[87])/2 + 
       (25*t[88])/4 + (5*t[89])/4 + 12*t[95] + 72*t[99] + 144*t[100])*
      \[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - w]*(3*t[1] - t[2] + 7*t[3] - 
       12*t[4] + (73*t[5])/4 + (5*t[6])/4 - 8*t[7] - 21*t[8] - (125*t[9])/4 + 
       21*t[10] - (85*t[11])/4 - (59*t[12])/4 - (235*t[13])/6 - 
       (33*t[14])/2 + (193*t[15])/24 + 2*t[24] - 12*t[25] + 6*t[26] - 
       12*t[27] + 2*t[33] - 30*t[36] - 6*t[37] + 6*t[38] - 12*t[39] - 
       6*t[40] + 6*t[45] - 12*t[47] - (19*t[48])/4 + 4*t[49] + (45*t[50])/4 - 
       2*t[51] - (45*t[52])/4 - 4*t[53] - (69*t[54])/4 - 6*t[59] - 
       (73*t[60])/2 - (167*t[61])/2 - (47*t[62])/4 - (121*t[63])/4 + 
       (103*t[64])/4 - (80*t[65])/3 + 124*t[66] + 30*t[74] + 6*t[77] + 
       6*t[78] - 15*t[81] + 5*t[82] - 6*t[84] - t[85]/2 - 12*t[86] + 
       (13*t[87])/2 + (13*t[88])/4 + (29*t[89])/4 + 12*t[95] + 72*t[99] + 
       144*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      (3*t[1] + (9*t[2])/2 + (3*t[3])/2 - 3*t[4] + (37*t[5])/2 - 
       (61*t[6])/2 - (3*t[7])/2 + (27*t[8])/2 - 8*t[9] + (31*t[10])/2 + 
       24*t[11] + 4*t[12] - (689*t[13])/12 - t[14]/3 + (145*t[15])/12 - 
       26*t[25] + 20*t[26] + 14*t[27] + 6*t[35] - 42*t[36] + 6*t[38] + 
       2*t[39] - 6*t[40] + 12*t[45] - 24*t[47] + 5*t[48] + t[49] - 4*t[50] - 
       (27*t[51])/2 + 4*t[52] - t[53] - 16*t[54] - 6*t[59] + 16*t[60] - 
       56*t[61] + 22*t[62] - 46*t[63] + (67*t[64])/2 - (35*t[65])/6 + 
       (833*t[66])/6 + 42*t[74] + 6*t[77] + 6*t[78] + 6*t[79] - 24*t[80] - 
       27*t[81] + 47*t[82] - 12*t[83] + (15*t[84])/2 + 7*t[85] - 30*t[86] - 
       28*t[87] - 14*t[88] + (65*t[89])/2 + 12*t[95] + 72*t[99] + 144*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((-29*t[1])/8 + (23*t[2])/6 - (2*t[3])/3 - (181*t[4])/4 - 
       (1747*t[5])/72 - (95*t[6])/288 + (139*t[7])/48 - (355*t[8])/16 + 
       (1147*t[9])/72 - (2999*t[10])/144 - (3869*t[11])/96 + 
       (1055*t[12])/144 - (9683*t[13])/432 - (56123*t[14])/1728 + 
       (995*t[15])/432 - (7*t[24])/6 - (169*t[25])/36 + (83*t[26])/18 - 
       (179*t[27])/36 - 5*t[28] - 2*t[29] - 2*t[30] - 4*t[31] - 2*t[32] + 
       (5*t[33])/6 + 2*t[34] + 7*t[35] - (37*t[36])/2 - (29*t[37])/12 - 
       (23*t[38])/12 - (395*t[39])/36 + (19*t[40])/12 - t[41] + t[42] - 
       t[43] - (7*t[45])/12 - 4*t[46] - (5*t[47])/6 - (2467*t[48])/288 - 
       (197*t[49])/72 + (2549*t[50])/288 + (1205*t[51])/64 - 
       (1973*t[52])/288 + (629*t[53])/72 + (4817*t[54])/288 - (5*t[59])/4 - 
       (7273*t[60])/144 - (14377*t[61])/144 - (29*t[62])/72 - 
       (1549*t[63])/72 + (21893*t[64])/288 + (21157*t[65])/432 + 
       (25751*t[66])/432 + 9*t[69] + 2*t[72] - (41*t[73])/4 - (5*t[74])/4 + 
       (135*t[75])/4 - 10*t[76] - (19*t[77])/12 + (233*t[78])/12 - 
       (131*t[79])/4 + 4*t[80] + (53*t[81])/8 - (715*t[82])/72 + 
       (65*t[83])/12 - (421*t[84])/48 + (89*t[85])/36 + (203*t[86])/4 + 
       (3601*t[87])/144 + (913*t[88])/288 - (2195*t[89])/288 + (19*t[95])/2 - 
       6*t[96] - 4*t[97] - 60*t[98] + 83*t[99] + (301*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-25*t[1])/6 - (15*t[2])/2 + (25*t[3])/6 + (2095*t[4])/24 + 
       (113*t[5])/24 + (15*t[6])/4 - (25*t[7])/4 - (925*t[8])/12 - 
       (199*t[9])/8 + (715*t[10])/16 + (19*t[11])/3 - (1249*t[12])/48 + 
       (3797*t[13])/72 - (10537*t[14])/288 - (265*t[15])/24 - 3*t[24] + 
       (14*t[25])/3 - 4*t[27] + 2*t[28] - 2*t[30] - 3*t[33] - 4*t[35] - 
       t[36] - (14*t[38])/3 - t[40] - t[43] - 5*t[45] - (23*t[46])/2 + 
       10*t[47] - (73*t[48])/4 + (767*t[49])/48 + (181*t[50])/12 + 
       (905*t[51])/96 - (277*t[52])/12 - (1583*t[53])/48 - (1553*t[54])/24 + 
       (35*t[59])/6 + (417*t[60])/8 - (1169*t[61])/24 - (1243*t[62])/16 - 
       (6047*t[63])/48 - (925*t[64])/48 - (107*t[65])/8 - (419*t[66])/8 + 
       4*t[69] - 2*t[70] + 2*t[71] - 2*t[72] - t[73] - 6*t[74] + 4*t[75] + 
       5*t[77] + 13*t[78] - (37*t[79])/2 + 19*t[80] + (33*t[81])/2 - 
       (57*t[82])/2 + (58*t[83])/3 + (323*t[84])/24 + (445*t[85])/24 + 
       (169*t[86])/6 + (27*t[87])/8 + (347*t[88])/16 + (527*t[89])/16 - 
       10*t[95] - 4*t[96] + 4*t[97] - 26*t[99] + (319*t[100])/2)*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((-15*t[1])/4 - (61*t[2])/6 - 
       (35*t[3])/6 + (169*t[4])/12 - (4789*t[5])/48 + t[6]/48 + 
       (163*t[7])/6 - (129*t[8])/2 + (5417*t[9])/48 - 17*t[10] - 
       (1069*t[11])/48 + (1619*t[12])/48 + (253*t[13])/8 - (3559*t[14])/72 - 
       (5669*t[15])/288 - (23*t[24])/3 + (59*t[25])/6 - (19*t[26])/3 + 
       t[27]/6 + 12*t[28] - 6*t[29] - 6*t[31] + 6*t[32] - (41*t[33])/3 + 
       3*t[34] - 16*t[35] + (41*t[36])/2 + (5*t[37])/2 - (9*t[38])/2 + 
       (85*t[39])/6 - (19*t[40])/2 - (3*t[41])/2 + (3*t[42])/2 - 3*t[43] + 
       9*t[44] - (37*t[45])/2 + 14*t[46] + 43*t[47] - (887*t[48])/48 - 
       (215*t[49])/6 + (483*t[50])/16 + (487*t[51])/24 - (371*t[52])/16 + 
       (167*t[53])/6 - (155*t[54])/16 + t[58] + t[59]/2 + (1139*t[60])/24 - 
       (2207*t[61])/24 - (11*t[62])/48 - (1933*t[63])/48 + (1171*t[64])/48 + 
       (3589*t[65])/36 - (181*t[66])/12 - 2*t[72] + 12*t[73] - (57*t[74])/2 - 
       20*t[75] + t[76] - (5*t[77])/2 - (5*t[78])/2 - 18*t[80] + 
       (117*t[81])/4 - (187*t[82])/4 - 8*t[83] + (149*t[84])/4 + 
       (179*t[85])/24 + 33*t[86] + (1345*t[87])/24 + (1297*t[88])/48 + 
       (3365*t[89])/48 - 5*t[95] - 12*t[96] - 8*t[97] + 64*t[98] - 
       150*t[99] + 160*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - v]*((-31*t[1])/24 - (41*t[2])/12 - (113*t[3])/12 - 
       (373*t[4])/24 - (1897*t[5])/72 + (6961*t[6])/288 - (415*t[7])/16 + 
       (1127*t[8])/48 + (739*t[9])/72 + (401*t[10])/18 - (1997*t[11])/96 - 
       (437*t[12])/72 + (7*t[13])/432 - (11441*t[14])/1728 - 
       (475*t[15])/108 - (7*t[24])/6 - (133*t[25])/36 + (41*t[26])/18 - 
       (359*t[27])/36 - t[29] + t[30] - 2*t[31] - 2*t[32] + (5*t[33])/6 + 
       t[34] - 10*t[35] - (53*t[36])/6 - (17*t[37])/12 - t[38]/12 - 
       (53*t[39])/36 - (95*t[40])/12 - t[41]/2 + t[42]/2 + (15*t[44])/2 - 
       (7*t[45])/12 - 5*t[46] - (5*t[47])/6 + (1205*t[48])/288 - 
       (1657*t[49])/144 + (2189*t[50])/288 + (907*t[51])/64 - 
       (749*t[52])/288 + (793*t[53])/144 + (2357*t[54])/288 - (23*t[59])/12 + 
       (1253*t[60])/144 - (15031*t[61])/144 - (6727*t[62])/144 - 
       (7301*t[63])/144 + (17927*t[64])/288 + (20839*t[65])/432 - 
       (1867*t[66])/432 - 2*t[72] + (47*t[73])/4 + (85*t[74])/12 - 
       (61*t[75])/4 + 10*t[76] + (101*t[77])/12 + (17*t[78])/12 - 
       (7*t[79])/4 + 2*t[80] + (59*t[81])/24 - (1135*t[82])/72 + 
       (23*t[83])/4 + (625*t[84])/48 + (1189*t[85])/72 + (605*t[86])/12 + 
       (3235*t[87])/144 + (3235*t[88])/288 + (5071*t[89])/288 + 
       (17*t[95])/6 - 10*t[96] - 4*t[97] + 68*t[98] - 75*t[99] + 160*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((65*t[1])/8 + (355*t[2])/24 + (19*t[3])/3 - (9203*t[4])/96 - 
       (1855*t[5])/96 + (217*t[6])/96 - (125*t[7])/12 + 13*t[8] + 
       (1331*t[9])/96 - (1151*t[10])/64 - (7717*t[11])/96 + (493*t[12])/192 - 
       (14867*t[13])/288 - (67679*t[14])/1152 - (21*t[15])/4 + (2*t[24])/3 - 
       (53*t[25])/6 + (49*t[26])/12 + (17*t[27])/6 - (7*t[28])/2 - 
       (7*t[30])/2 - (3*t[31])/2 + (2*t[33])/3 + t[34] + 7*t[35] + 
       (37*t[36])/4 + (5*t[37])/4 + (19*t[38])/4 - (43*t[39])/6 - 
       (7*t[40])/4 - t[41]/2 + t[42]/2 - (7*t[43])/4 - (7*t[45])/4 + 
       13*t[46] + (7*t[47])/2 + (409*t[48])/96 - (4283*t[49])/192 + 
       (1003*t[50])/32 - (505*t[51])/384 - (299*t[52])/32 + 
       (7019*t[53])/192 + (103*t[54])/4 + t[58] - (21*t[59])/4 - 
       (13865*t[60])/96 - (19411*t[61])/96 + (29927*t[62])/192 + 
       (12577*t[63])/192 + (8141*t[64])/192 + (25243*t[65])/288 + 
       (14207*t[66])/96 + 4*t[69] - (7*t[70])/2 + (7*t[71])/2 + 
       (11*t[72])/2 + 7*t[73] - (51*t[74])/4 - 7*t[75] - (43*t[76])/4 - 
       (39*t[77])/4 + (23*t[78])/4 - (75*t[80])/2 - (31*t[81])/8 + 
       (87*t[82])/8 - 7*t[83] - (103*t[84])/32 + (3037*t[85])/96 - 
       (21*t[86])/2 + (7715*t[87])/96 + (515*t[88])/192 + (2389*t[89])/192 - 
       (3*t[95])/2 - t[96]/2 - (25*t[97])/2 - 54*t[98] + 9*t[99] + 
       168*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-49*t[1])/2 + 21*t[2] - (55*t[3])/8 - 
       (985*t[4])/8 + (187*t[5])/8 - (745*t[6])/16 + (167*t[7])/8 - 
       (613*t[8])/8 + (139*t[9])/8 + (2305*t[10])/16 - (1933*t[11])/16 + 
       (913*t[12])/16 - (5797*t[13])/144 - (5555*t[14])/96 + 
       (1373*t[15])/144 - 4*t[20] - 6*t[21] + 10*t[22] + 6*t[23] - 9*t[24] + 
       21*t[25] + 15*t[26] + 7*t[27] - 10*t[28] - (7*t[29])/2 + 17*t[30] - 
       4*t[31] + 6*t[32] - 13*t[33] - 3*t[34] - 10*t[35] + 36*t[36] - 
       2*t[37] - 31*t[38] - t[39] + 2*t[40] - (3*t[41])/2 + (3*t[42])/2 + 
       (107*t[43])/8 + (71*t[44])/4 + (23*t[45])/4 - 6*t[46] + (19*t[47])/2 - 
       (253*t[48])/16 + (57*t[49])/16 + (39*t[50])/16 - (607*t[51])/32 - 
       (87*t[52])/16 + (199*t[53])/16 - (33*t[54])/16 + 2*t[57] + 
       (29*t[59])/2 - (439*t[60])/2 - 11*t[61] + 29*t[62] + 72*t[63] + 
       (293*t[64])/2 + (419*t[65])/3 + (449*t[66])/3 - 4*t[70] + 4*t[71] - 
       10*t[72] - 4*t[73] - 40*t[74] + 10*t[75] + 13*t[76] + 5*t[77] - 
       38*t[78] + 8*t[79] + 36*t[80] + 15*t[81] - 3*t[82] + t[83] - 
       42*t[84] - 10*t[85] + 72*t[86] + 123*t[87] + (87*t[88])/2 + 
       (189*t[89])/4 + 12*t[96] - t[97] + 72*t[98] - 172*t[99] + 170*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((131*t[1])/24 + (371*t[2])/24 - (32*t[3])/3 - (3251*t[4])/96 - 
       (5923*t[5])/288 + (12793*t[6])/288 + (39*t[7])/4 + (313*t[8])/6 + 
       (10687*t[9])/288 - (1145*t[10])/576 - (2379*t[11])/32 - 
       (8275*t[12])/576 - (14131*t[13])/864 - (57985*t[14])/3456 - 
       (4285*t[15])/432 - (2*t[24])/3 + (151*t[25])/18 - (227*t[26])/36 - 
       (145*t[27])/18 + (7*t[28])/2 + (7*t[30])/2 + (3*t[31])/2 - 
       (2*t[33])/3 + t[34] - 7*t[35] + (17*t[36])/12 + (55*t[37])/12 - 
       (25*t[38])/12 - (127*t[39])/18 - (89*t[40])/12 - t[41]/2 + t[42]/2 + 
       (7*t[43])/4 - (49*t[45])/12 - 9*t[46] + (49*t[47])/6 + 
       (7217*t[48])/288 + (6557*t[49])/576 + (5321*t[50])/288 + 
       (77*t[51])/128 + (1015*t[52])/288 + (2515*t[53])/576 + 
       (3145*t[54])/144 + t[58] - (5*t[59])/3 - (23957*t[60])/288 - 
       (35597*t[61])/288 + (54473*t[62])/576 + (20311*t[63])/576 + 
       (25243*t[64])/576 + (29933*t[65])/864 + (20623*t[66])/864 - 2*t[69] - 
       (27*t[70])/2 + (27*t[71])/2 - (11*t[72])/2 + 7*t[73] - (59*t[74])/12 - 
       7*t[75] - (41*t[76])/4 - (7*t[77])/12 + (95*t[78])/12 + 14*t[79] - 
       (23*t[80])/2 + (5*t[81])/24 + (5*t[82])/72 - 7*t[83] + 
       (1067*t[84])/96 + (3115*t[85])/288 - (23*t[86])/6 + 
       (14933*t[87])/288 - (6667*t[88])/576 + (21221*t[89])/576 + 
       (11*t[95])/6 + (7*t[96])/2 - (25*t[97])/2 - 54*t[98] + 29*t[99] + 
       208*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
      ((11*t[1])/12 + (157*t[2])/24 + (581*t[3])/48 - (4157*t[4])/96 + 
       (2029*t[5])/48 - (673*t[6])/16 - (159*t[7])/16 - (189*t[8])/16 - 
       (283*t[9])/12 - (801*t[10])/64 - (1931*t[11])/48 - (1463*t[12])/192 - 
       (129*t[13])/8 - (8217*t[14])/128 - (325*t[15])/576 + 3*t[24] - 
       (17*t[25])/3 + 2*t[26] + (49*t[27])/6 - (3*t[28])/2 - (3*t[29])/2 - 
       (9*t[30])/2 - (23*t[31])/6 + t[32] + 2*t[33] + (7*t[34])/12 - 
       9*t[35] + (43*t[36])/4 + (133*t[37])/12 + (23*t[38])/12 - 
       (13*t[40])/12 - (7*t[41])/24 + (7*t[42])/24 + (5*t[43])/8 - 
       (21*t[44])/4 - (127*t[45])/24 + (23*t[46])/3 + (139*t[47])/12 - 
       (281*t[48])/48 - (2305*t[49])/192 + (241*t[50])/48 + 
       (1361*t[51])/384 - (277*t[52])/48 + (2977*t[53])/192 - (7*t[54])/96 - 
       (11*t[58])/12 + (5*t[59])/12 - (2355*t[60])/32 - (13555*t[61])/96 + 
       (10939*t[62])/192 - (2641*t[63])/64 + (3759*t[64])/64 + 
       (6001*t[65])/96 + (2241*t[66])/32 - (5*t[70])/6 + (5*t[71])/6 + 
       (26*t[72])/3 - (5*t[74])/4 + 14*t[75] + (17*t[76])/3 - (23*t[77])/12 + 
       (35*t[78])/12 + t[79] + (43*t[80])/6 - (15*t[81])/8 + (101*t[82])/8 + 
       (73*t[83])/6 - (1577*t[84])/96 - (43*t[85])/96 + (39*t[86])/4 + 
       (2371*t[87])/96 + (1331*t[88])/192 + (1295*t[89])/64 + (11*t[95])/2 - 
       t[96]/6 - t[97]/2 + 14*t[98] - 89*t[99] + 236*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*(t[1]/24 - (55*t[2])/12 + 
       (619*t[3])/48 - (221*t[4])/96 + (455*t[5])/48 - (679*t[6])/48 - 
       (1091*t[7])/48 + (359*t[8])/48 - (134*t[9])/3 + (12683*t[10])/192 - 
       (1097*t[11])/12 - (1253*t[12])/192 - (55*t[13])/108 - 
       (66173*t[14])/1152 - (7799*t[15])/576 + 2*t[24] + (7*t[25])/6 + 
       (41*t[26])/12 + t[27]/2 + (7*t[28])/2 + (3*t[29])/2 - (5*t[30])/2 - 
       (8*t[31])/3 - t[32] + 3*t[33] - (5*t[34])/3 + 5*t[35] + (57*t[36])/4 + 
       (97*t[37])/12 - (17*t[38])/6 - (37*t[39])/6 + (47*t[40])/12 + 
       (5*t[41])/6 - (5*t[42])/6 - (41*t[43])/8 + (7*t[44])/4 - 
       (181*t[45])/24 - 13*t[46] + (169*t[47])/12 - (143*t[48])/48 + 
       (5893*t[49])/192 - (59*t[50])/16 - (1991*t[51])/384 + (83*t[52])/16 - 
       (1399*t[53])/64 + (221*t[54])/96 - t[58]/6 + (49*t[59])/24 - 
       (2333*t[60])/32 - (11923*t[61])/96 + (2969*t[62])/64 + 
       (1463*t[63])/64 + (6709*t[64])/192 + (4163*t[65])/288 + 
       (4231*t[66])/96 - t[69] - (29*t[70])/6 + (29*t[71])/6 + (9*t[72])/2 - 
       (95*t[74])/4 + 5*t[75] + (29*t[76])/6 - (49*t[77])/12 - (19*t[78])/3 + 
       13*t[79] - 8*t[80] - (161*t[81])/24 + (265*t[82])/24 + (133*t[83])/6 - 
       (975*t[84])/32 + (55*t[85])/32 + (85*t[86])/4 + (2467*t[87])/96 + 
       (1427*t[88])/192 - (769*t[89])/192 + (11*t[95])/2 + (19*t[96])/3 + 
       (7*t[97])/4 + 14*t[98] - 89*t[99] + 236*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*((27*t[1])/2 - 3*t[2] + 
       (55*t[3])/2 - (37*t[4])/2 + (591*t[5])/8 - (85*t[6])/8 - (47*t[7])/2 - 
       (67*t[8])/2 - (931*t[9])/8 + (97*t[10])/2 - (1079*t[11])/8 - 
       (437*t[12])/8 - (769*t[13])/9 - (103*t[14])/3 - (71*t[15])/16 + 
       6*t[24] - 23*t[25] - 13*t[27] + 6*t[28] - 6*t[31] + 6*t[33] + 
       6*t[35] + 15*t[36] + 35*t[37] + 15*t[38] - 7*t[39] + 3*t[40] - 
       3*t[45] - 28*t[46] + 6*t[47] - (89*t[48])/8 + 30*t[49] + 
       (279*t[50])/8 + (55*t[51])/4 - (279*t[52])/8 - 30*t[53] - 
       (247*t[54])/8 + 10*t[59] - (475*t[60])/4 - (485*t[61])/4 - 
       (79*t[62])/8 + (2103*t[63])/8 - (583*t[64])/8 - (266*t[65])/3 + 
       (781*t[66])/3 + 10*t[69] - 32*t[70] + 32*t[71] - 96*t[73] - 43*t[74] + 
       116*t[75] - 3*t[77] + t[78] - 34*t[79] + 10*t[80] - (15*t[81])/2 - 
       (11*t[82])/2 + 87*t[83] - (79*t[84])/2 - (111*t[85])/4 + 28*t[86] + 
       (255*t[87])/4 + (255*t[88])/8 - (549*t[89])/8 + 6*t[95] + 36*t[99] + 
       240*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((3*t[1])/2 + 3*t[2] - 5*t[3] + (85*t[4])/2 - (201*t[5])/8 - 
       (157*t[6])/8 + (5*t[7])/2 - (73*t[8])/2 + (361*t[9])/8 + 
       (127*t[10])/2 - (79*t[11])/8 - (353*t[12])/8 - (1859*t[13])/36 + 
       (647*t[14])/12 - (853*t[15])/48 - 6*t[24] - 5*t[25] + 2*t[26] - 
       7*t[27] - 6*t[28] + 6*t[31] - 6*t[33] - 6*t[35] - 31*t[36] - 3*t[37] + 
       3*t[38] - 13*t[39] - 5*t[40] + 5*t[45] + 13*t[46] - 10*t[47] - 
       (113*t[48])/8 + 13*t[49] - (57*t[50])/8 - 27*t[51] + (57*t[52])/8 - 
       13*t[53] + (89*t[54])/8 - 3*t[59] + (101*t[60])/4 - (85*t[61])/4 - 
       (75*t[62])/8 - (253*t[63])/8 - (663*t[64])/8 - (539*t[65])/6 + 
       (61*t[66])/2 - 96*t[73] + 21*t[74] + 134*t[75] + 5*t[77] + t[78] - 
       10*t[79] - 4*t[80] + (11*t[81])/2 - (25*t[82])/2 + 40*t[83] - 
       13*t[84] + (69*t[85])/4 - 32*t[86] - (121*t[87])/4 - (121*t[88])/8 + 
       (107*t[89])/8 + 6*t[95] + 36*t[99] + 240*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 0, 1, 1}, 1 - w]*(5*t[1] + 10*t[3] - 25*t[4] + 
       (365*t[5])/12 + (25*t[6])/12 - 10*t[7] - 50*t[8] - (485*t[9])/12 + 
       (110*t[10])/3 - (175*t[11])/4 - (275*t[12])/12 - (1145*t[13])/18 - 
       (205*t[14])/9 + (905*t[15])/72 - (50*t[25])/3 + (20*t[26])/3 - 
       (70*t[27])/3 - 50*t[36] - 10*t[37] + 10*t[38] - (70*t[39])/3 - 
       10*t[40] + 10*t[45] - 20*t[47] - (115*t[48])/12 + (10*t[49])/3 + 
       (245*t[50])/12 - (5*t[51])/2 - (245*t[52])/12 - (10*t[53])/3 - 
       (325*t[54])/12 - 10*t[59] - (385*t[60])/6 - (835*t[61])/6 - 
       (215*t[62])/12 - (625*t[63])/12 + (515*t[64])/12 - (400*t[65])/9 + 
       (1900*t[66])/9 + 50*t[74] + 10*t[77] + 10*t[78] - 25*t[81] + 
       (5*t[82])/3 - 10*t[84] - (25*t[85])/6 - 20*t[86] + (85*t[87])/6 + 
       (85*t[88])/12 + (145*t[89])/12 + 20*t[95] + 120*t[99] + 240*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (14*t[1] + 8*t[2] - (53*t[3])/2 + (317*t[4])/4 - (191*t[5])/12 + 
       (221*t[6])/12 + (121*t[7])/2 - (341*t[8])/2 - (343*t[9])/12 + 
       (869*t[10])/24 + (237*t[11])/4 - (2225*t[12])/24 + (851*t[13])/18 - 
       (2189*t[14])/144 + (163*t[15])/36 - 6*t[24] + (20*t[25])/3 - 
       (62*t[26])/3 - (158*t[27])/3 + 10*t[28] - 17*t[29] + 4*t[30] - 
       4*t[31] - 6*t[32] + 8*t[33] + 6*t[34] - 20*t[35] - 18*t[36] - 
       12*t[37] + 13*t[38] - (95*t[39])/3 - 10*t[40] - t[41] + t[42] - 
       4*t[43] + 15*t[44] - 2*t[45] - 20*t[46] + 10*t[47] - (443*t[48])/12 + 
       (1639*t[49])/24 + (817*t[50])/12 + (351*t[51])/16 - (793*t[52])/12 - 
       (1687*t[53])/24 - (739*t[54])/6 - 13*t[59] - (781*t[60])/12 - 
       (1351*t[61])/12 - (4403*t[62])/24 - (37*t[63])/24 + (4781*t[64])/24 - 
       (4637*t[65])/36 - (2779*t[66])/36 - 4*t[69] + 10*t[72] - 12*t[73] + 
       10*t[74] + 18*t[75] - 8*t[76] + 5*t[77] + 44*t[78] + 6*t[79] + 
       6*t[80] + 38*t[81] - (218*t[82])/3 + 46*t[83] - (9*t[84])/4 + 
       (149*t[85])/12 + 78*t[86] + (559*t[87])/12 + (511*t[88])/24 - 
       (755*t[89])/24 + 12*t[95] - 6*t[96] - 4*t[97] - 48*t[98] + 136*t[99] + 
       244*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((5*t[1])/2 + (59*t[2])/2 + (31*t[3])/2 + 
       (133*t[4])/4 + (445*t[5])/12 - (325*t[6])/12 + (91*t[7])/2 + 
       (113*t[8])/2 - (553*t[9])/12 + (1175*t[10])/24 + (463*t[11])/4 - 
       (863*t[12])/24 - (161*t[13])/18 + (727*t[14])/144 + (199*t[15])/36 + 
       4*t[20] - 4*t[22] - 2*t[24] - (22*t[25])/3 + (7*t[26])/3 - 
       (62*t[27])/3 + 8*t[29] + 8*t[30] - 6*t[31] + 8*t[32] - 2*t[33] - 
       t[34] - 4*t[35] - 52*t[36] - 2*t[37] + 6*t[38] - (110*t[39])/3 - 
       12*t[40] - (3*t[41])/2 + (3*t[42])/2 + (11*t[43])/2 - 4*t[44] + 
       18*t[45] - 7*t[46] - 32*t[47] + (37*t[48])/12 + (841*t[49])/24 + 
       (253*t[50])/12 - (577*t[51])/16 - (193*t[52])/12 - (841*t[53])/24 - 
       (517*t[54])/6 + t[58] - (21*t[59])/2 + (449*t[60])/12 - 
       (1483*t[61])/12 - (3317*t[62])/24 - (4507*t[63])/24 + 
       (7445*t[64])/24 - (617*t[65])/36 + (5789*t[66])/36 + 4*t[69] + 
       4*t[72] + 4*t[73] + 58*t[74] - 4*t[75] - 7*t[76] + t[77] + 10*t[78] - 
       12*t[79] + 18*t[80] - 22*t[81] - (32*t[82])/3 + 30*t[83] + 
       (37*t[84])/4 + (401*t[85])/12 + 152*t[86] - (521*t[87])/12 - 
       (545*t[88])/24 + (1627*t[89])/24 + 12*t[95] - t[97] - 48*t[98] + 
       136*t[99] + 244*t[100])*\[Zeta][2] + Qep[w, u, v]*
      ((16*t[1])/3 - (32*t[2])/3 + (64*t[3])/3 + (16*t[4])/3 + (292*t[5])/9 + 
       (20*t[6])/9 - 32*t[7] + (128*t[8])/3 - (1060*t[9])/9 + (256*t[10])/9 + 
       (20*t[11])/3 - (316*t[12])/9 - (2120*t[13])/27 - (1472*t[14])/27 + 
       (506*t[15])/27 + (64*t[24])/3 - (352*t[25])/9 + (256*t[26])/9 - 
       (32*t[27])/9 + (64*t[33])/3 - (160*t[36])/3 - (32*t[37])/3 + 
       (32*t[38])/3 - (32*t[39])/9 - (32*t[40])/3 + (32*t[45])/3 - 
       (64*t[47])/3 + (4*t[48])/9 + (224*t[49])/9 + (100*t[50])/9 - 8*t[51] - 
       (100*t[52])/9 - (224*t[53])/9 - (356*t[54])/9 - (32*t[59])/3 - 
       (808*t[60])/9 - (1144*t[61])/9 - (76*t[62])/9 - (596*t[63])/9 + 
       (508*t[64])/9 - (2048*t[65])/27 + (6080*t[66])/27 + (160*t[74])/3 + 
       (32*t[77])/3 + (32*t[78])/3 - (80*t[81])/3 + (592*t[82])/9 - 
       (32*t[84])/3 - (232*t[85])/9 - (64*t[86])/3 + (328*t[87])/9 + 
       (164*t[88])/9 + (20*t[89])/9 + (64*t[95])/3 + 128*t[99] + 256*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-22*t[1])/3 + (89*t[2])/6 + 22*t[3] - (1999*t[4])/24 + 
       (325*t[5])/12 - (61*t[6])/4 - (32*t[7])/3 - 30*t[8] - (431*t[9])/12 + 
       (1367*t[10])/48 - (1531*t[11])/12 + (73*t[12])/16 - (9073*t[13])/72 - 
       (11335*t[14])/288 + (817*t[15])/144 - 8*t[19] + 8*t[20] + 8*t[21] - 
       4*t[22] - 8*t[23] + (2*t[24])/3 - (59*t[25])/3 + 23*t[26] - 
       (31*t[27])/3 + 2*t[28] + 2*t[30] + (14*t[31])/3 + (2*t[33])/3 + 
       (4*t[34])/3 - 4*t[35] - 28*t[36] + (4*t[37])/3 - (10*t[38])/3 - 
       9*t[39] - (22*t[40])/3 + (4*t[41])/3 - (4*t[42])/3 + t[43] - 6*t[44] + 
       (10*t[45])/3 - (4*t[46])/3 - (20*t[47])/3 - (61*t[48])/12 + 
       (553*t[49])/48 + (49*t[50])/4 - (449*t[51])/96 - (49*t[52])/4 + 
       (167*t[53])/48 + (33*t[54])/8 + (4*t[58])/3 - (22*t[59])/3 - 
       (1613*t[60])/8 - (1227*t[61])/8 + (1561*t[62])/48 + (1173*t[63])/16 + 
       (4507*t[64])/48 - (1357*t[65])/72 + (19757*t[66])/72 - (10*t[70])/3 + 
       (10*t[71])/3 - (16*t[72])/3 - 4*t[73] + 30*t[74] + 4*t[75] - 
       (7*t[76])/3 + (28*t[77])/3 - (4*t[78])/3 + (98*t[80])/3 - 36*t[81] + 
       (113*t[82])/3 + (20*t[83])/3 - (1253*t[84])/24 - (517*t[85])/24 + 
       4*t[86] + (877*t[87])/24 - (19*t[88])/48 - (757*t[89])/48 + 20*t[95] + 
       (22*t[96])/3 - 2*t[97] + 40*t[98] + 48*t[99] + 264*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((53*t[1])/3 + (13*t[2])/24 + (337*t[3])/12 - (2531*t[4])/96 + 
       (15737*t[5])/288 - (19385*t[6])/288 + (437*t[7])/24 - (847*t[8])/24 - 
       (12017*t[9])/288 - (32897*t[10])/576 + (401*t[11])/96 - 
       (3403*t[12])/576 + (2093*t[13])/288 - (216697*t[14])/3456 - 
       (5291*t[15])/216 + (7*t[24])/3 - (25*t[25])/9 - (146*t[26])/9 + 
       (41*t[27])/18 + (3*t[28])/2 + t[29] + 5*t[30] + (3*t[31])/2 + 
       4*t[32] - (5*t[33])/3 - (79*t[34])/12 - 9*t[35] + (347*t[36])/12 + 
       (55*t[37])/4 + (77*t[38])/4 - (109*t[39])/18 + t[40]/6 + 
       (79*t[41])/24 - (79*t[42])/24 - (13*t[43])/4 - (29*t[44])/2 - 
       (151*t[45])/6 + (50*t[46])/3 + (163*t[47])/3 - (7345*t[48])/288 + 
       (3917*t[49])/576 - (3937*t[50])/288 + (605*t[51])/128 + 
       (121*t[52])/288 + (15715*t[53])/576 + (2243*t[54])/72 - 
       (49*t[58])/12 - (19*t[59])/3 - (39053*t[60])/288 - (52853*t[61])/288 - 
       (54115*t[62])/576 + (5827*t[63])/576 + (120883*t[64])/576 - 
       (52747*t[65])/864 - (16277*t[66])/864 - (31*t[70])/6 + (31*t[71])/6 + 
       (29*t[72])/3 - 13*t[73] - (149*t[74])/12 + 15*t[75] + (61*t[76])/2 + 
       (29*t[77])/12 - (261*t[78])/4 - 14*t[79] + (269*t[80])/3 + 
       (47*t[81])/8 + (503*t[82])/72 + (5*t[83])/6 - (3119*t[84])/32 - 
       (13793*t[85])/288 + (119*t[86])/3 - (10879*t[87])/288 - 
       (26767*t[88])/576 - (14947*t[89])/576 + (89*t[95])/6 + (127*t[96])/6 + 
       (33*t[97])/2 + 158*t[98] - 277*t[99] + 283*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((31*t[1])/3 + (557*t[2])/24 + 
       (857*t[3])/24 - (3511*t[4])/96 + (6107*t[5])/288 + (6253*t[6])/288 - 
       (65*t[7])/4 + (301*t[8])/6 - (23159*t[9])/288 - (19349*t[10])/576 - 
       (9665*t[11])/96 + (965*t[12])/576 - (10867*t[13])/864 - 
       (373669*t[14])/3456 - (13121*t[15])/864 + 4*t[19] + 6*t[20] + 
       12*t[21] - 12*t[23] + (37*t[24])/3 + (47*t[25])/9 - (44*t[26])/9 + 
       (29*t[27])/18 + (3*t[28])/2 + 2*t[29] + (7*t[31])/2 + 4*t[32] + 
       (13*t[33])/3 + (3*t[34])/4 - 3*t[35] - (37*t[36])/12 - (83*t[37])/12 + 
       (11*t[38])/12 - (43*t[39])/18 - (23*t[40])/3 + (37*t[41])/8 - 
       (37*t[42])/8 - t[43]/4 - t[44] - (337*t[45])/12 + 5*t[46] + 
       (355*t[47])/6 + (2309*t[48])/288 - (18295*t[49])/576 + 
       (4157*t[50])/288 + (201*t[51])/128 - (1061*t[52])/288 + 
       (14119*t[53])/576 + (1213*t[54])/144 + (13*t[58])/4 - (5*t[59])/3 - 
       (43877*t[60])/288 - (51101*t[61])/288 + (38645*t[62])/576 - 
       (50837*t[63])/576 + (111835*t[64])/576 + (114845*t[65])/864 + 
       (256675*t[66])/864 + 2*t[69] - (5*t[70])/2 + (5*t[71])/2 + 11*t[72] + 
       5*t[73] + (19*t[74])/12 - 5*t[75] - (77*t[76])/2 + (77*t[77])/12 + 
       (281*t[78])/12 + 6*t[79] + 48*t[80] - (739*t[81])/24 + 
       (1607*t[82])/72 - (3*t[83])/2 + (515*t[84])/96 - (7409*t[85])/288 + 
       (397*t[86])/6 + (44465*t[87])/288 + (52961*t[88])/576 + 
       (38309*t[89])/576 - (55*t[95])/6 - (19*t[96])/2 - (15*t[97])/2 - 
       234*t[98] + 155*t[99] + 295*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((155*t[1])/12 + (80*t[2])/3 + 
       (275*t[3])/12 + (61*t[4])/12 + (9917*t[5])/144 + (2947*t[6])/144 - 
       (131*t[7])/4 + (1525*t[8])/12 - (13541*t[9])/144 - (943*t[10])/36 - 
       (823*t[11])/16 - (11711*t[12])/144 - (3535*t[13])/108 - 
       (26057*t[14])/216 - (14419*t[15])/864 - (13*t[24])/3 - 
       (247*t[25])/18 + (17*t[26])/9 + (79*t[27])/18 + 8*t[28] + 4*t[29] - 
       6*t[30] - 14*t[31] - 6*t[32] + (5*t[33])/3 - 12*t[35] - (91*t[36])/6 + 
       (85*t[37])/6 + (65*t[38])/6 - (173*t[39])/18 - (41*t[40])/6 - 
       (7*t[43])/2 - 4*t[44] - (32*t[45])/3 - 18*t[46] + (46*t[47])/3 + 
       (4787*t[48])/144 + (226*t[49])/9 - (1573*t[50])/144 - (39*t[51])/8 + 
       (3013*t[52])/144 - (262*t[53])/9 - (811*t[54])/144 + 2*t[58] - 
       (37*t[59])/3 - (4819*t[60])/72 - (21205*t[61])/72 - (4925*t[62])/144 - 
       (13051*t[63])/144 + (29141*t[64])/144 + (2507*t[65])/27 + 
       (11039*t[66])/54 + 8*t[69] - 4*t[70] + 4*t[71] - 8*t[72] + 12*t[73] + 
       (187*t[74])/6 - 60*t[75] - 3*t[76] + (35*t[77])/6 - (139*t[78])/6 + 
       38*t[79] + 42*t[80] - (235*t[81])/12 + (1247*t[82])/36 + 8*t[83] + 
       (2*t[84])/3 + (1697*t[85])/72 + (328*t[86])/3 + (7363*t[87])/72 + 
       (7219*t[88])/144 + (15835*t[89])/144 + (23*t[95])/3 - 6*t[96] - 
       5*t[97] + 64*t[98] - 74*t[99] + 312*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((-29*t[1])/24 - (13*t[2])/12 - 
       (269*t[3])/24 - (4727*t[4])/96 - (10355*t[5])/288 + (6671*t[6])/288 + 
       (43*t[7])/4 - (409*t[8])/6 + (17111*t[9])/288 + (10061*t[10])/576 - 
       (2449*t[11])/96 + (13327*t[12])/576 + (703*t[13])/864 - 
       (62129*t[14])/3456 + (479*t[15])/864 + 4*t[19] - 6*t[20] - 12*t[21] - 
       2*t[22] + 12*t[23] - (25*t[24])/3 + (7*t[25])/9 + (59*t[26])/36 - 
       (119*t[27])/18 - (7*t[28])/2 - t[29] - 9*t[30] - 7*t[31] - 6*t[32] - 
       t[33]/3 + (13*t[34])/2 + 7*t[35] - (95*t[36])/12 - (61*t[37])/12 - 
       (8*t[38])/3 - (299*t[39])/18 + (43*t[40])/6 - (29*t[41])/4 + 
       (29*t[42])/4 + t[43]/2 + 5*t[44] + (97*t[45])/12 - (5*t[46])/2 - 
       (79*t[47])/6 - (5405*t[48])/288 - (21557*t[49])/576 + 
       (7435*t[50])/288 + (2777*t[51])/128 - (4267*t[52])/288 + 
       (6725*t[53])/576 + (1225*t[54])/72 + t[58] - (71*t[59])/24 + 
       (19397*t[60])/288 - (39025*t[61])/288 + (26425*t[62])/576 - 
       (22369*t[63])/576 - (7057*t[64])/576 + (71977*t[65])/864 + 
       (75659*t[66])/864 + (7*t[70])/2 - (7*t[71])/2 + (11*t[72])/2 + 
       3*t[73] + (53*t[74])/12 - 3*t[75] - (71*t[76])/2 - (95*t[77])/12 + 
       (166*t[78])/3 - (161*t[80])/2 - (35*t[81])/24 - (563*t[82])/72 - 
       4*t[83] + (3547*t[84])/96 + (7643*t[85])/288 - (151*t[86])/6 + 
       (5701*t[87])/288 + (14773*t[88])/576 + (25879*t[89])/576 - 
       (35*t[95])/6 - 27*t[96] - (37*t[97])/4 - 234*t[98] + 175*t[99] + 
       335*t[100])*\[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - w]*
      (9*t[1] + 18*t[3] - 9*t[4] + (235*t[5])/4 - t[6]/4 - 18*t[7] - 
       90*t[8] - (307*t[9])/4 + 58*t[10] - (123*t[11])/4 - (181*t[12])/4 - 
       (871*t[13])/6 - (239*t[14])/3 + (559*t[15])/24 - 70*t[25] + 52*t[26] - 
       2*t[27] - 90*t[36] - 18*t[37] + 18*t[38] - 2*t[39] - 18*t[40] + 
       18*t[45] - 36*t[47] - (53*t[48])/4 + 14*t[49] + (163*t[50])/4 - 
       (9*t[51])/2 - (163*t[52])/4 - 14*t[53] - (275*t[54])/4 - 18*t[59] - 
       (215*t[60])/2 - (485*t[61])/2 - (145*t[62])/4 - (359*t[63])/4 + 
       (325*t[64])/4 - (272*t[65])/3 + (1076*t[66])/3 + 90*t[74] + 18*t[77] + 
       18*t[78] - 45*t[81] + 43*t[82] - 18*t[84] + t[85]/2 - 36*t[86] + 
       (35*t[87])/2 + (35*t[88])/4 + (71*t[89])/4 + 36*t[95] + 216*t[99] + 
       432*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((271*t[1])/24 + (29*t[2])/12 - (19*t[3])/2 - 
       (13427*t[4])/96 - (2729*t[5])/288 + (2645*t[6])/288 - (299*t[7])/24 - 
       (191*t[8])/24 - (7327*t[9])/288 + (84377*t[10])/576 - 
       (12787*t[11])/96 + (2095*t[12])/576 - (2109*t[13])/32 - 
       (232133*t[14])/3456 + (15367*t[15])/432 - (13*t[24])/3 - 
       (77*t[25])/9 + (35*t[26])/36 + t[27]/18 + t[28]/2 - t[29] - 2*t[30] - 
       (17*t[31])/3 - 4*t[32] - t[33]/3 + (7*t[34])/2 + t[35] - 
       (191*t[36])/12 + (83*t[37])/12 + (22*t[38])/3 - (197*t[39])/18 - 
       (22*t[40])/3 - (7*t[41])/4 + (7*t[42])/4 + (3*t[43])/4 - 7*t[44] + 
       (31*t[45])/3 - (53*t[46])/6 - (74*t[47])/3 - (1103*t[48])/288 - 
       (13913*t[49])/576 + (8737*t[50])/288 + (10903*t[51])/384 - 
       (4705*t[52])/288 + (17321*t[53])/576 + (8057*t[54])/144 + t[58] - 
       (107*t[59])/24 - (68659*t[60])/288 - (50113*t[61])/288 + 
       (44761*t[62])/576 + (64031*t[63])/576 + (128975*t[64])/576 + 
       (21625*t[65])/864 + (160619*t[66])/864 + 6*t[69] - (17*t[70])/2 + 
       (17*t[71])/2 + (97*t[72])/6 - 3*t[73] + (77*t[74])/12 + t[75] - 
       (283*t[76])/6 - (5*t[77])/4 + (103*t[78])/3 + 12*t[79] - 
       (425*t[80])/6 - (297*t[81])/8 + (1261*t[82])/72 + 19*t[83] - 
       (3661*t[84])/96 - (13789*t[85])/288 + (28*t[86])/3 + 
       (38749*t[87])/288 + (30541*t[88])/576 - (25265*t[89])/576 + 
       (85*t[95])/6 - 5*t[96] - (49*t[97])/4 - 258*t[98] + 199*t[99] + 
       491*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-t[1] - 37*t[2] + (129*t[3])/4 - (133*t[4])/2 + (23*t[5])/2 - 
       76*t[6] + 20*t[7] - 161*t[8] + 28*t[9] + (245*t[10])/4 - 70*t[11] - 
       (55*t[12])/4 - (209*t[13])/6 - (749*t[14])/8 - (749*t[15])/24 - 
       2*t[18] - 10*t[19] - 10*t[21] + 10*t[22] + 14*t[23] + 10*t[25] - 
       8*t[26] + 8*t[27] - 7*t[29] - 6*t[30] - 6*t[32] + 4*t[33] + 10*t[36] + 
       6*t[37] - 2*t[38] - 10*t[39] + 2*t[40] - t[41] + t[42] + 8*t[43] + 
       (85*t[44])/2 + 2*t[45] + 16*t[47] - (73*t[48])/2 - (51*t[49])/4 + 
       (19*t[50])/2 + (15*t[51])/8 - (31*t[52])/2 + (51*t[53])/4 - 
       (71*t[54])/2 + 16*t[59] - 117*t[60] - (549*t[61])/2 + (145*t[62])/4 - 
       (169*t[63])/4 + (301*t[64])/4 + 36*t[65] + (248*t[66])/3 - 10*t[74] + 
       13*t[76] + 8*t[77] - 49*t[78] - 8*t[80] - 5*t[81] + t[82] - 31*t[84] + 
       (87*t[85])/2 + 44*t[86] + (187*t[87])/2 + (147*t[88])/4 + 80*t[89] - 
       4*t[95] + 6*t[96] + 72*t[98] - 240*t[99] + 612*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*(-11*t[1] - 15*t[2] - 
       (55*t[3])/2 + 50*t[4] - (61*t[5])/4 + (111*t[6])/4 - (7*t[7])/2 + 
       (19*t[8])/2 - (165*t[9])/4 + (183*t[10])/2 + (493*t[11])/4 + 
       (453*t[12])/4 + (6853*t[13])/36 + t[14]/2 - (217*t[15])/24 - 
       12*t[24] + 36*t[25] - 10*t[26] + 12*t[27] - 6*t[28] + 6*t[31] - 
       12*t[33] - 6*t[34] - 6*t[35] - 42*t[36] - 50*t[37] - 14*t[38] - 
       18*t[39] - 6*t[40] + 3*t[41] - 3*t[42] - 6*t[45] + 4*t[46] + 
       12*t[47] - (93*t[48])/4 - 146*t[49] - (169*t[50])/4 + (85*t[51])/2 + 
       (97*t[52])/4 + 53*t[53] - (107*t[54])/4 + 6*t[58] - 10*t[59] + 
       (403*t[60])/2 - (37*t[61])/2 - (387*t[62])/2 - (1361*t[63])/2 + 
       (847*t[64])/4 + 101*t[65] - (656*t[66])/3 - 10*t[69] + 56*t[70] - 
       56*t[71] + 96*t[73] + 70*t[74] - 116*t[75] - 66*t[76] + 18*t[77] + 
       32*t[78] + 34*t[79] - 34*t[80] - 78*t[81] - 12*t[82] - 87*t[83] + 
       (85*t[84])/2 - (49*t[85])/2 - 10*t[86] + (205*t[87])/2 + 
       (685*t[88])/4 + (691*t[89])/4 - 24*t[95] - 24*t[96] + 18*t[97] - 
       432*t[98] + 288*t[99] + 624*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*(8*t[1] + t[2] + 76*t[3] - 
       107*t[4] + (743*t[5])/12 - (53*t[6])/3 - (77*t[7])/4 + (89*t[8])/4 - 
       (293*t[9])/3 - (1699*t[10])/12 - (555*t[11])/4 + (307*t[12])/12 - 
       (569*t[13])/72 - (4229*t[14])/18 - (763*t[15])/18 + 4*t[18] - 
       8*t[19] + 14*t[21] - 2*t[22] - 14*t[23] + 14*t[24] - (14*t[25])/3 + 
       (20*t[26])/3 + (38*t[27])/3 + 4*t[28] - 8*t[29] - 2*t[30] + 10*t[33] + 
       4*t[34] + 18*t[36] + 2*t[37] - 8*t[38] + (8*t[39])/3 + 6*t[40] + 
       2*t[42] - (29*t[43])/4 + 4*t[44] - (115*t[45])/2 + 17*t[46] + 
       121*t[47] + (257*t[48])/12 - (241*t[49])/6 - (211*t[50])/12 + 
       18*t[51] + (91*t[52])/12 + (241*t[53])/6 + (95*t[54])/12 + 2*t[58] + 
       4*t[59] - (1447*t[60])/6 - (2431*t[61])/6 + (1141*t[62])/12 - 
       (2485*t[63])/12 + (4343*t[64])/12 + (2738*t[65])/9 + (2908*t[66])/9 - 
       4*t[70] + 4*t[71] - 22*t[74] + 20*t[76] + 2*t[77] - 58*t[78] + 
       136*t[80] - 13*t[81] + (101*t[82])/3 - 4*t[83] - 51*t[84] + 
       (65*t[85])/6 + 126*t[86] + (1111*t[87])/6 + (1111*t[88])/12 + 
       (1831*t[89])/12 - 4*t[95] - 192*t[99] + 648*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*(-5*t[1] + (13*t[2])/2 + 
       (253*t[3])/4 - 46*t[4] - (217*t[5])/12 - (1253*t[6])/12 + 10*t[7] - 
       208*t[8] + (607*t[9])/12 + (170*t[10])/3 - (329*t[11])/4 + 
       (241*t[12])/12 - (182*t[13])/9 - (4639*t[14])/36 - (331*t[15])/6 - 
       8*t[19] - 10*t[21] + 6*t[22] + 10*t[23] - 10*t[24] + (22*t[25])/3 - 
       (4*t[26])/3 + (56*t[27])/3 - 4*t[28] - 7*t[29] - 11*t[32] - 12*t[33] + 
       12*t[34] + 14*t[36] + 10*t[37] - 6*t[38] - (46*t[39])/3 + 10*t[40] - 
       6*t[41] + 6*t[42] + 2*t[43] + (19*t[44])/2 - 12*t[45] - 6*t[46] + 
       34*t[47] - (721*t[48])/12 - (163*t[49])/6 - (133*t[50])/12 + 
       (13*t[51])/4 + (109*t[52])/12 + (163*t[53])/6 - (337*t[54])/12 - 
       2*t[59] - (529*t[60])/6 - (1109*t[61])/3 + (352*t[62])/3 - 
       (7*t[63])/3 + (302*t[64])/3 + (425*t[65])/9 + (1168*t[66])/9 - 
       4*t[70] + 4*t[71] - 12*t[74] - 2*t[76] - 4*t[77] - 26*t[78] + 
       4*t[79] - 76*t[80] - 4*t[81] + (92*t[82])/3 - 2*t[83] - 42*t[84] + 
       (187*t[85])/3 + 40*t[86] + (155*t[87])/3 + (59*t[88])/6 + 
       (859*t[89])/12 + 4*t[96] - 4*t[97] - 192*t[99] + 648*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      (-14*t[1] - t[2] + 78*t[3] - 143*t[4] + (334*t[5])/3 - (353*t[6])/6 - 
       (135*t[7])/4 - (253*t[8])/4 - (1375*t[9])/12 - (557*t[10])/12 - 
       (557*t[11])/4 - (17*t[12])/6 - (3733*t[13])/72 - (2069*t[14])/9 - 
       (1169*t[15])/72 + 2*t[18] - 6*t[19] + 10*t[21] - 2*t[22] - 16*t[23] - 
       4*t[24] - (46*t[25])/3 + (49*t[26])/3 + (46*t[27])/3 - 4*t[29] + 
       2*t[30] + 4*t[32] - 8*t[33] - 18*t[34] - 2*t[38] + (16*t[39])/3 - 
       4*t[40] + 21*t[41] - 15*t[42] + (57*t[43])/4 + 16*t[44] + 
       (17*t[45])/2 + 10*t[46] - 7*t[47] - (113*t[48])/12 - (209*t[49])/6 + 
       (43*t[50])/12 + (35*t[51])/4 + (101*t[52])/12 + (209*t[53])/6 - 
       (203*t[54])/12 + t[58] + 13*t[59] - (1481*t[60])/6 - (2603*t[61])/6 + 
       (404*t[62])/3 - (380*t[63])/3 + (3781*t[64])/12 + (1639*t[65])/9 + 
       (7525*t[66])/18 + 8*t[70] - 8*t[71] + 11*t[76] + 8*t[77] - 52*t[78] + 
       106*t[80] - 25*t[81] + (160*t[82])/3 - 48*t[84] + (92*t[85])/3 + 
       100*t[86] + (412*t[87])/3 + (206*t[88])/3 + (1565*t[89])/12 + 
       72*t[98] - 216*t[99] + 660*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*(-81*t[1] - 18*t[2] + 
       107*t[3] + 25*t[4] + 123*t[5] - (83*t[6])/2 - (227*t[7])/2 - 
       (395*t[8])/2 - 266*t[9] + 10*t[10] - (293*t[11])/2 + (143*t[12])/2 - 
       (485*t[13])/18 - (1537*t[14])/6 + (133*t[15])/3 + 12*t[24] + 2*t[25] + 
       55*t[26] - 2*t[27] + 6*t[28] - 6*t[31] + 12*t[33] + 12*t[34] + 
       6*t[35] - 26*t[36] - 18*t[37] - 66*t[38] - 26*t[39] + 8*t[40] - 
       6*t[41] + 6*t[42] - 8*t[45] + 23*t[46] + 16*t[47] - (163*t[48])/2 - 
       (185*t[49])/2 + (105*t[50])/2 - (15*t[51])/2 - (177*t[52])/2 - 
       (13*t[53])/2 - (281*t[54])/2 + 27*t[59] - 110*t[60] - 344*t[61] + 
       (405*t[62])/4 - (61*t[63])/4 + 6*t[64] + (2501*t[65])/6 + 
       (1687*t[66])/2 + 24*t[70] - 24*t[71] + 96*t[73] + 36*t[74] - 
       134*t[75] - 84*t[76] + 4*t[77] + 104*t[78] + 10*t[79] + 4*t[80] - 
       82*t[81] + 56*t[82] - 40*t[83] + 52*t[84] + 24*t[85] + 38*t[86] + 
       109*t[87] + (349*t[88])/2 + (337*t[89])/2 - 12*t[95] - 72*t[96] - 
       432*t[98] + 360*t[99] + 768*t[100])*\[Zeta][2] + 
     HPL[{0, 1, 0, 1, 1}, 1 - u]*(-20*t[1] + 20*t[2] + 46*t[3] + 
       (15*t[4])/4 + (2179*t[5])/24 - (3493*t[6])/24 - (113*t[7])/2 + 
       (143*t[8])/2 - (4435*t[9])/24 - (8537*t[10])/24 - (581*t[11])/8 - 
       (119*t[12])/12 - (2021*t[13])/36 - (29557*t[14])/144 - 
       (2975*t[15])/144 + 10*t[24] - (77*t[25])/3 + (119*t[26])/3 + 
       (257*t[27])/3 + 10*t[33] + 5*t[34] + 47*t[36] + 3*t[37] - 23*t[38] + 
       (155*t[39])/3 - 2*t[40] - (5*t[41])/2 + (5*t[42])/2 - 55*t[45] + 
       48*t[46] + 110*t[47] + (283*t[48])/24 - (1639*t[49])/24 + 
       (1507*t[50])/24 + (127*t[51])/16 - (907*t[52])/24 + (1111*t[53])/24 + 
       (67*t[54])/24 + 3*t[58] + 6*t[59] - (869*t[60])/3 - (4513*t[61])/6 + 
       (2485*t[62])/12 - (1693*t[63])/12 + (173*t[64])/3 + (12251*t[65])/36 + 
       (14299*t[66])/36 - 47*t[74] - 39*t[76] - 13*t[77] + 35*t[78] + 
       70*t[80] - (43*t[81])/2 + (475*t[82])/6 - (87*t[84])/4 + 
       (101*t[85])/6 + 110*t[86] + (1729*t[87])/6 + (1729*t[88])/12 + 
       (484*t[89])/3 + 10*t[95] - 24*t[96] - 20*t[97] - 192*t[98] - 
       180*t[99] + 1032*t[100])*\[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-45*t[1])/2 + (49*t[2])/2 + (33*t[3])/2 - (105*t[4])/4 - 
       (2579*t[5])/24 + (1469*t[6])/24 - 5*t[7] - 46*t[8] + (1367*t[9])/24 + 
       (9589*t[10])/24 - (2875*t[11])/8 - (131*t[12])/12 + (76*t[13])/3 - 
       (33961*t[14])/144 - (9761*t[15])/144 - 2*t[24] + (13*t[25])/3 + 
       (116*t[26])/3 + (71*t[27])/3 - 2*t[33] + 2*t[34] + 95*t[36] + 
       55*t[37] - 28*t[38] - (28*t[39])/3 - 4*t[40] - t[41] + t[42] - 
       7*t[45] - 60*t[46] + 14*t[47] - (1511*t[48])/24 + (299*t[49])/24 + 
       (337*t[50])/24 - (49*t[51])/16 + (335*t[52])/24 - (347*t[53])/24 + 
       (373*t[54])/24 + 4*t[58] + (19*t[59])/2 - (107*t[60])/3 - 
       (1274*t[61])/3 + (1120*t[62])/3 + (605*t[63])/3 + (1463*t[64])/12 + 
       (4793*t[65])/36 + (5485*t[66])/36 - 95*t[74] - 64*t[76] - 11*t[77] + 
       71*t[78] - 148*t[80] + (27*t[81])/2 + (61*t[82])/6 - (77*t[84])/4 + 
       (361*t[85])/3 + 14*t[86] + (284*t[87])/3 + (142*t[88])/3 + 
       (418*t[89])/3 + 10*t[95] - 18*t[96] - 17*t[97] - 192*t[98] - 
       180*t[99] + 1032*t[100])*\[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-43*t[1])/2 + 38*t[2] + 79*t[3] - 187*t[4] + (391*t[5])/2 - 
       (305*t[6])/2 - (161*t[7])/2 - (461*t[8])/2 - (491*t[9])/2 - 97*t[10] - 
       242*t[11] + 56*t[12] - (3875*t[13])/36 - (6121*t[14])/12 + 
       (55*t[15])/6 - 28*t[19] + 32*t[21] - 32*t[23] - 18*t[24] - 66*t[25] + 
       72*t[26] + 42*t[27] - 18*t[33] + 3*t[34] - 30*t[36] + 6*t[37] - 
       16*t[38] + 20*t[39] - 27*t[40] + (29*t[41])/2 - (29*t[42])/2 - 
       46*t[45] + 36*t[46] + 92*t[47] - 53*t[48] - (225*t[49])/2 + 61*t[50] + 
       (109*t[51])/4 - 62*t[52] + (221*t[53])/2 - 171*t[54] + 8*t[58] - 
       (925*t[60])/2 - (1799*t[61])/2 + (1005*t[62])/4 - (1301*t[63])/4 + 
       (2007*t[64])/4 + (1214*t[65])/3 + (2996*t[66])/3 + 8*t[70] - 8*t[71] + 
       30*t[74] + 24*t[76] + 30*t[77] - 90*t[78] + 152*t[80] - 51*t[81] + 
       125*t[82] - 94*t[84] + (43*t[85])/2 + 92*t[86] + (673*t[87])/2 + 
       (673*t[88])/4 + (1181*t[89])/4 + 12*t[95] - 96*t[98] - 72*t[99] + 
       1368*t[100])*\[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - v]*
      (-32*t[1] - (87*t[2])/2 + (155*t[3])/2 - (107*t[4])/2 + (147*t[5])/4 - 
       82*t[6] - 87*t[7] - 156*t[8] - (623*t[9])/4 + (865*t[10])/4 - 
       140*t[11] - 28*t[12] - (493*t[13])/9 - (5791*t[14])/24 - 
       (1259*t[15])/24 - 32*t[19] - 32*t[21] + 32*t[23] + 18*t[24] - 
       8*t[25] + 20*t[26] - 8*t[27] + 18*t[33] + 4*t[34] - 30*t[36] + 
       2*t[37] - 15*t[38] - 46*t[39] - 5*t[40] - 18*t[41] + 18*t[42] + 
       18*t[45] - 54*t[46] - 36*t[47] - (195*t[48])/2 + (91*t[49])/4 + 
       (17*t[50])/2 + (185*t[51])/8 + (11*t[52])/2 - (59*t[53])/4 - 
       103*t[54] + 6*t[58] - (19*t[59])/2 - (233*t[60])/2 - (1081*t[61])/2 + 
       (49*t[62])/2 + (23*t[63])/2 + (433*t[64])/4 - (137*t[65])/2 + 
       (511*t[66])/3 + 30*t[74] + 62*t[76] + 8*t[77] - 144*t[78] - 
       128*t[80] + 3*t[81] + 15*t[82] - (137*t[84])/2 + 137*t[85] - 
       36*t[86] + 79*t[87] + (79*t[88])/2 + (405*t[89])/4 + 12*t[95] - 
       t[97] - 96*t[98] - 72*t[99] + 1368*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 0, 1, 1}, 1 - u]*(-44*t[1] + 82*t[2] + 158*t[3] - 393*t[4] + 
       (4859*t[5])/12 - (3809*t[6])/12 - 167*t[7] - 517*t[8] - 
       (5675*t[9])/12 - (649*t[10])/3 - (1957*t[11])/4 + (1531*t[12])/12 - 
       (1685*t[13])/9 - (9256*t[14])/9 + (755*t[15])/72 - 56*t[19] + 
       64*t[21] - 64*t[23] - 48*t[24] - (362*t[25])/3 + (404*t[26])/3 + 
       (242*t[27])/3 - 48*t[33] + 6*t[34] - 50*t[36] + 14*t[37] - 34*t[38] + 
       (110*t[39])/3 - 52*t[40] + 29*t[41] - 29*t[42] - 94*t[45] + 80*t[46] + 
       188*t[47] - (1393*t[48])/12 - (722*t[49])/3 + (1415*t[50])/12 + 
       (123*t[51])/2 - (1343*t[52])/12 + (722*t[53])/3 - (4207*t[54])/12 + 
       24*t[58] - (5485*t[60])/6 - (10591*t[61])/6 + (5785*t[62])/12 - 
       (8353*t[63])/12 + (11963*t[64])/12 + (7718*t[65])/9 + 
       (17728*t[66])/9 + 16*t[70] - 16*t[71] + 50*t[74] + 40*t[76] + 
       58*t[77] - 174*t[78] + 304*t[80] - 105*t[81] + (725*t[82])/3 - 
       190*t[84] + (143*t[85])/6 + 188*t[86] + (4237*t[87])/6 + 
       (4237*t[88])/12 + (7201*t[89])/12 + 20*t[95] - 288*t[98] - 72*t[99] + 
       2736*t[100])*\[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (-67*t[1] - 91*t[2] + 181*t[3] - 140*t[4] + (917*t[5])/12 - 
       (2189*t[6])/12 - 230*t[7] - 274*t[8] - (4445*t[9])/12 + 
       (2671*t[10])/6 - (1133*t[11])/4 - (413*t[12])/12 - (157*t[13])/2 - 
       (17917*t[14])/36 - (8059*t[15])/72 - 64*t[19] - 64*t[21] + 64*t[23] + 
       48*t[24] + (22*t[25])/3 + (56*t[26])/3 - (94*t[27])/3 + 48*t[33] + 
       12*t[34] - 50*t[36] + 6*t[37] - 32*t[38] - (322*t[39])/3 - 8*t[40] - 
       38*t[41] + 38*t[42] + 34*t[45] - 108*t[46] - 68*t[47] - 
       (2389*t[48])/12 + (185*t[49])/6 + (131*t[50])/12 + (211*t[51])/4 + 
       (445*t[52])/12 - (41*t[53])/6 - (2455*t[54])/12 + 12*t[58] - 
       19*t[59] - (1453*t[60])/6 - (6415*t[61])/6 + (547*t[62])/12 + 
       (389*t[63])/12 + (2639*t[64])/12 - (1009*t[65])/9 + (2938*t[66])/9 + 
       50*t[74] + 100*t[76] + 14*t[77] - 266*t[78] - 256*t[80] + 3*t[81] + 
       (77*t[82])/3 - 129*t[84] + (1661*t[85])/6 - 68*t[86] + (967*t[87])/6 + 
       (967*t[88])/12 + (2377*t[89])/12 + 20*t[95] - 6*t[97] - 288*t[98] - 
       72*t[99] + 2736*t[100])*\[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-78*t[1] + 45*t[2] + 186*t[3] + (21*t[4])/4 + (1291*t[5])/4 - 
       (2083*t[6])/4 - 210*t[7] + 84*t[8] - (2495*t[9])/4 - (8935*t[10])/8 - 
       (735*t[11])/4 + (115*t[12])/8 - (655*t[13])/4 - (33011*t[14])/48 - 
       (196*t[15])/3 + 36*t[24] - 82*t[25] + 118*t[26] + 250*t[27] + 
       36*t[33] + 18*t[34] + 126*t[36] + 6*t[37] - 66*t[38] + 124*t[39] + 
       14*t[40] - 9*t[41] + 9*t[42] - 162*t[45] + 144*t[46] + 324*t[47] - 
       (23*t[48])/4 - (1637*t[49])/8 + (769*t[50])/4 + (399*t[51])/16 - 
       (553*t[52])/4 + (1109*t[53])/8 - 26*t[54] + 6*t[58] + 3*t[59] - 
       (3595*t[60])/4 - (9547*t[61])/4 + (4903*t[62])/8 - (2527*t[63])/8 + 
       (1781*t[64])/8 + (11635*t[65])/12 + (15305*t[66])/12 - 126*t[74] - 
       96*t[76] - 50*t[77] + 96*t[78] + 228*t[80] - 63*t[81] + 283*t[82] - 
       (333*t[84])/4 + (245*t[85])/4 + 324*t[86] + (3331*t[87])/4 + 
       (3331*t[88])/8 + (3619*t[89])/8 + 36*t[95] - 72*t[96] - 54*t[97] - 
       432*t[98] - 648*t[99] + 3096*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 1, 1, 1}, 1 - v]*(-39*t[1] + 60*t[2] + 21*t[3] - 
       (99*t[4])/4 - (1235*t[5])/4 + (791*t[6])/4 + 3*t[7] - 105*t[8] + 
       (839*t[9])/4 + (10415*t[10])/8 - (4107*t[11])/4 - (519*t[12])/8 + 
       (1295*t[13])/12 - (32459*t[14])/48 - (1181*t[15])/6 - 12*t[24] + 
       2*t[25] + 100*t[26] + 70*t[27] - 12*t[33] + 270*t[36] + 162*t[37] - 
       64*t[38] - 2*t[39] - 42*t[40] - 18*t[45] - 198*t[46] + 36*t[47] - 
       (737*t[48])/4 + (457*t[49])/8 + (7*t[50])/4 + (27*t[51])/16 + 
       (281*t[52])/4 - (457*t[53])/8 + (89*t[54])/2 + 12*t[58] + 30*t[59] - 
       (133*t[60])/4 - (4615*t[61])/4 + (7615*t[62])/8 + (3281*t[63])/8 + 
       (3173*t[64])/8 + (4579*t[65])/12 + (4181*t[66])/12 - 270*t[74] - 
       30*t[76] + 6*t[77] - 408*t[80] + 75*t[81] - 11*t[82] - (273*t[84])/4 + 
       (1337*t[85])/4 + 36*t[86] + (1039*t[87])/4 + (1039*t[88])/8 + 
       (3697*t[89])/8 + 36*t[95] - 36*t[96] - 36*t[97] - 432*t[98] - 
       648*t[99] + 3096*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((-61*t[1])/4 + 14*t[2] + (71*t[3])/2 + 
       (415*t[4])/16 + (1157*t[5])/16 - (35*t[6])/2 - (77*t[7])/8 - 
       (477*t[8])/8 - (1197*t[9])/16 - (1817*t[10])/16 + (63*t[11])/16 + 
       (167*t[12])/4 - (27*t[13])/4 - (607*t[14])/12 + (691*t[15])/288 + 
       4*t[19] + 4*t[20] + 4*t[21] - 4*t[22] - 4*t[23] + 4*t[24] + 4*t[25] + 
       (35*t[26])/4 + 8*t[27] + 8*t[28] + 4*t[29] - 2*t[30] + 4*t[31] + 
       2*t[32] - 2*t[33] - 3*t[34] + 14*t[35] + (3*t[36])/2 + 6*t[37] - 
       (51*t[38])/4 + 4*t[39] + 14*t[40] + (7*t[41])/2 - (7*t[42])/2 - 
       2*t[43] - 15*t[44] - 4*t[45] + (31*t[46])/4 + 6*t[47] - (17*t[48])/2 + 
       (231*t[49])/16 + (47*t[50])/2 - (151*t[51])/16 - (45*t[52])/2 - 
       (371*t[53])/16 - (349*t[54])/16 + (35*t[59])/8 - 58*t[60] - 
       (115*t[61])/4 + (1083*t[62])/8 + 32*t[63] - (343*t[64])/16 - 
       (1761*t[65])/16 + (5635*t[66])/48 + 4*t[70] - 4*t[71] + 6*t[72] - 
       (47*t[73])/2 - 6*t[74] + (69*t[75])/2 - 7*t[76] - 20*t[77] - 3*t[78] + 
       (15*t[79])/2 + 16*t[80] - 23*t[81] + 29*t[82] + (29*t[83])/2 - 
       (179*t[84])/16 - (187*t[85])/16 - (165*t[86])/2 - (207*t[87])/16 + 
       (405*t[88])/32 - (463*t[89])/8 - 12*t[95] + 2*t[96] + 2*t[97] - 
       88*t[98] + 104*t[99] - (307*t[100])/2 - 24*t[101])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((35*t[1])/4 - (7*t[2])/2 - 38*t[3] - (353*t[4])/16 - (425*t[5])/48 + 
       (2*t[6])/3 + (347*t[7])/8 - (45*t[8])/8 + (1385*t[9])/48 + 
       (6061*t[10])/48 - (209*t[11])/16 - (649*t[12])/12 + (4*t[13])/3 + 
       (3571*t[14])/36 + (7915*t[15])/288 + 4*t[19] - 4*t[20] - 4*t[21] + 
       2*t[22] + 4*t[23] + (26*t[25])/3 - (221*t[26])/12 - (20*t[27])/3 - 
       16*t[28] - 2*t[29] + 4*t[30] + 4*t[31] - 2*t[32] - 2*t[33] + 2*t[34] - 
       2*t[35] - t[36]/2 - 2*t[37] + (31*t[38])/4 - (2*t[39])/3 - 7*t[40] - 
       2*t[41] + 2*t[42] + (9*t[43])/2 - 4*t[44] + 20*t[45] - (79*t[46])/4 - 
       42*t[47] + (4*t[48])/3 + (485*t[49])/48 + (28*t[50])/3 - 
       (103*t[51])/16 - (40*t[52])/3 - (881*t[53])/48 - (47*t[54])/48 - 
       t[58] + (25*t[59])/8 + (733*t[60])/6 + (1417*t[61])/6 - 
       (2591*t[62])/24 + (157*t[63])/3 - (7709*t[64])/48 - (5441*t[65])/144 - 
       (19255*t[66])/144 - 8*t[69] + 4*t[70] - 4*t[71] - (51*t[73])/2 + 
       8*t[74] + (109*t[75])/2 - 11*t[76] + 8*t[77] + 54*t[78] - 
       (13*t[79])/2 - 12*t[80] - 2*t[81] - (29*t[82])/3 + (137*t[83])/2 + 
       (909*t[84])/16 - (433*t[85])/48 + (23*t[86])/2 - (3317*t[87])/48 - 
       (1385*t[88])/96 - (1001*t[89])/24 - 8*t[95] - 4*t[96] - 3*t[97] - 
       88*t[98] + 128*t[99] - (211*t[100])/2 - 24*t[101])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((397*t[1])/12 - (2*t[2])/3 - 
       (295*t[3])/6 + (3929*t[4])/24 + (4145*t[5])/144 - (1403*t[6])/144 + 
       (127*t[7])/2 + (346*t[8])/3 - (2585*t[9])/144 - (34405*t[10])/144 + 
       (15437*t[11])/48 - (2273*t[12])/36 + (14891*t[13])/108 + 
       (156649*t[14])/864 - (15133*t[15])/864 + (41*t[24])/3 + 
       (389*t[25])/18 - (352*t[26])/9 - (17*t[27])/18 + 2*t[28] - 6*t[29] + 
       2*t[30] - (16*t[31])/3 + 4*t[32] + (53*t[33])/3 - (32*t[34])/3 - 
       16*t[35] + (119*t[36])/6 - (35*t[37])/2 + (51*t[38])/2 + 
       (43*t[39])/18 + (77*t[40])/6 + (16*t[41])/3 - (16*t[42])/3 + 2*t[43] + 
       37*t[44] + t[45]/6 + (14*t[46])/3 + (23*t[47])/3 + (4217*t[48])/144 + 
       (5077*t[49])/144 - (4879*t[50])/144 - (79*t[51])/96 + 
       (4303*t[52])/144 - (6805*t[53])/144 - (8095*t[54])/144 - (2*t[58])/3 - 
       (31*t[59])/6 + (7739*t[60])/18 + (9137*t[61])/18 - (21631*t[62])/72 - 
       (24521*t[63])/72 - (14921*t[64])/72 - (32021*t[65])/216 - 
       (141715*t[66])/216 - 12*t[69] + (2*t[70])/3 - (2*t[71])/3 + 
       (8*t[72])/3 + 8*t[73] + (37*t[74])/6 + 8*t[75] + (77*t[76])/3 - 
       (47*t[77])/6 + (31*t[78])/2 + 4*t[79] + (362*t[80])/3 + 
       (455*t[81])/12 - (943*t[82])/36 + (104*t[83])/3 + (869*t[84])/24 - 
       (1367*t[85])/36 + (199*t[86])/3 - (3643*t[87])/36 - (1891*t[88])/72 - 
       (671*t[89])/9 - (55*t[95])/3 + (34*t[96])/3 + 22*t[97] + 24*t[98] + 
       82*t[99] - 860*t[100] + 48*t[101])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-31*t[1])/4 - 17*t[2] - 
       (58*t[3])/3 + (1195*t[4])/8 + (691*t[5])/144 - (2113*t[6])/144 + 
       (58*t[7])/3 - (505*t[8])/6 + (10493*t[9])/144 + (15325*t[10])/144 + 
       (3449*t[11])/16 - (163*t[12])/36 + (1181*t[13])/18 + 
       (46445*t[14])/864 + (31273*t[15])/864 - (5*t[24])/3 + (37*t[25])/18 + 
       (37*t[26])/9 - (181*t[27])/18 + 10*t[28] - 4*t[29] - 16*t[30] - 
       (44*t[31])/3 - 4*t[32] + (31*t[33])/3 + (4*t[34])/3 - 4*t[35] - 
       (131*t[36])/6 + (13*t[37])/6 - (37*t[38])/6 - (157*t[39])/18 + 
       (23*t[40])/2 - (2*t[41])/3 + (2*t[42])/3 + (7*t[43])/2 + 8*t[44] + 
       (45*t[45])/2 - 8*t[46] - 45*t[47] - (1373*t[48])/144 + 
       (4847*t[49])/144 - (1973*t[50])/144 - (1943*t[51])/96 - 
       (331*t[52])/144 - (8975*t[53])/144 - (18041*t[54])/144 - (8*t[58])/3 + 
       (25*t[59])/2 + (2954*t[60])/9 + (17171*t[61])/36 - (2293*t[62])/36 - 
       (2573*t[63])/36 - (4157*t[64])/36 - (51865*t[65])/216 - 
       (56867*t[66])/216 + (14*t[70])/3 - (14*t[71])/3 + 12*t[72] + 
       (119*t[74])/6 + 16*t[75] - (5*t[76])/3 - (25*t[77])/6 + 
       (179*t[78])/6 + 8*t[79] + 6*t[80] + (87*t[81])/4 + (151*t[82])/36 - 
       (4*t[83])/3 + (1541*t[84])/24 + (155*t[85])/9 - (13*t[86])/3 - 
       (3409*t[87])/18 - (2533*t[88])/36 - (847*t[89])/9 - (17*t[95])/3 + 
       (58*t[96])/3 + 10*t[97] + 24*t[98] + 158*t[99] - 708*t[100] + 
       48*t[101])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-2*t[1] + 2*t[2] - (49*t[3])/4 + (83*t[4])/2 - (117*t[5])/8 - 
       (157*t[6])/8 - (269*t[7])/4 + (313*t[8])/4 - (433*t[9])/8 - 
       (241*t[10])/4 - (471*t[11])/8 + (309*t[12])/8 + (3131*t[13])/72 - 
       (1697*t[14])/24 - (2375*t[15])/144 - 8*t[24] + 26*t[25] - 18*t[26] + 
       6*t[27] - 12*t[28] - 6*t[29] + 10*t[30] + 12*t[31] + 8*t[33] - 
       4*t[34] + 56*t[36] - 6*t[38] - 24*t[39] + 9*t[40] + 2*t[41] - 
       2*t[42] - (19*t[43])/2 - t[44] - (5*t[45])/2 + 2*t[46] + 13*t[47] + 
       (139*t[48])/8 - (49*t[49])/2 + (63*t[50])/8 + (199*t[51])/8 + 
       (193*t[52])/8 + (5*t[53])/2 + (113*t[54])/8 + 4*t[58] - 5*t[59] - 
       (377*t[60])/4 - (1179*t[61])/4 + (935*t[62])/8 - (495*t[63])/8 - 
       (1075*t[64])/8 + (2833*t[65])/12 + (805*t[66])/4 - 28*t[73] - 
       56*t[74] + 12*t[75] - 74*t[76] - 8*t[77] + 34*t[78] - 4*t[79] - 
       110*t[80] - 8*t[81] + 20*t[82] - 6*t[83] - (265*t[84])/4 - 
       (181*t[85])/4 - 93*t[86] + (701*t[87])/4 + (685*t[88])/8 + 
       (969*t[89])/8 - 8*t[95] - 12*t[96] - 2*t[97] - 416*t[98] + 184*t[99] + 
       596*t[100] + 96*t[101])*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-6*t[1] + t[2] + (167*t[3])/4 + (39*t[4])/2 - 
       (2045*t[5])/24 + (71*t[6])/24 - (497*t[7])/4 + (237*t[8])/4 + 
       (443*t[9])/24 + (2687*t[10])/12 - (897*t[11])/8 + (101*t[12])/24 - 
       (1961*t[13])/72 - (6269*t[14])/72 - (5189*t[15])/144 + 4*t[24] + 
       (4*t[25])/3 + (20*t[26])/3 - (16*t[27])/3 - 4*t[28] + 6*t[29] + 
       2*t[30] + 4*t[31] + 20*t[33] + 6*t[34] + 24*t[35] - 10*t[36] + 
       30*t[37] - 2*t[38] - (100*t[39])/3 - 11*t[40] - 3*t[41] + 3*t[42] - 
       (13*t[43])/2 - 35*t[44] + (15*t[45])/2 - 10*t[46] - 7*t[47] - 
       (569*t[48])/24 - (11*t[49])/3 + (259*t[50])/24 - (11*t[51])/8 + 
       (269*t[52])/24 - (55*t[53])/3 - (827*t[54])/24 + 2*t[58] - 4*t[59] + 
       (79*t[60])/12 - (3467*t[61])/12 + (2231*t[62])/24 + (1633*t[63])/24 + 
       (1321*t[64])/24 + (2075*t[65])/36 + (5281*t[66])/36 + 12*t[69] - 
       28*t[73] + 2*t[74] + 8*t[75] - 52*t[76] + 2*t[77] + 38*t[78] - 
       32*t[79] - 170*t[80] + 3*t[81] - (61*t[82])/3 + 14*t[83] - 
       (121*t[84])/4 + (511*t[85])/12 + 7*t[86] - (223*t[87])/12 - 
       (271*t[88])/24 + (1601*t[89])/24 + 12*t[95] - 28*t[96] - 12*t[97] - 
       416*t[98] + 304*t[99] + 836*t[100] + 96*t[101])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*(-12*t[1] - (28*t[2])/5 - 
       (77*t[3])/5 + (989*t[4])/10 - (247*t[5])/60 + (463*t[6])/60 - 
       (53*t[7])/5 + (343*t[8])/5 + (79*t[9])/60 - (4489*t[10])/60 + 
       (1647*t[11])/20 - (86*t[12])/15 + (249*t[13])/2 + (27211*t[14])/360 - 
       (1445*t[15])/72 + (16*t[19])/5 + 4*t[24] + (92*t[25])/3 - 
       (232*t[26])/15 - (76*t[27])/15 + (4*t[29])/5 - (48*t[30])/5 + 
       (12*t[31])/5 + (8*t[32])/5 + (12*t[33])/5 - (6*t[34])/5 + 
       (4*t[35])/5 + 38*t[36] - (34*t[37])/5 - (54*t[38])/5 + 
       (224*t[39])/15 + (42*t[40])/5 + (3*t[41])/5 - (3*t[42])/5 - 
       (24*t[43])/5 + (44*t[44])/5 - (42*t[45])/5 + (24*t[46])/5 + 
       (92*t[47])/5 + (1031*t[48])/60 - (743*t[49])/60 - (1969*t[50])/60 - 
       (157*t[51])/40 + (293*t[52])/12 - (913*t[53])/60 - (1417*t[54])/60 + 
       (6*t[58])/5 + (27*t[59])/5 + (3253*t[60])/15 + (2104*t[61])/15 - 
       (509*t[62])/15 - (3307*t[63])/15 - (949*t[64])/6 + (7039*t[65])/90 - 
       (19303*t[66])/90 + (12*t[69])/5 + (48*t[70])/5 - (48*t[71])/5 - 
       (12*t[72])/5 + (48*t[73])/5 - (174*t[74])/5 + (36*t[75])/5 + 6*t[76] - 
       (2*t[77])/5 + 14*t[78] - (48*t[79])/5 - 8*t[80] + 19*t[81] - 
       (697*t[82])/15 - (134*t[83])/5 + (611*t[84])/10 + (343*t[85])/15 - 
       (228*t[86])/5 - (11*t[87])/3 + (1313*t[88])/30 + (2891*t[89])/30 - 
       (156*t[95])/5 - (48*t[96])/5 + 6*t[97] - 96*t[99] - (1422*t[100])/5)*
      \[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - u]*((-43*t[1])/4 + (117*t[2])/10 + 
       (39*t[3])/5 + (169*t[4])/20 + (451*t[5])/16 - (3877*t[6])/80 - 
       (389*t[7])/10 - 88*t[8] - (239*t[9])/80 - (1203*t[10])/20 + 
       (2953*t[11])/80 + (2411*t[12])/80 + (2031*t[13])/40 + 
       (3719*t[14])/120 - (5693*t[15])/480 - (24*t[19])/5 + (24*t[20])/5 + 
       (24*t[21])/5 - (12*t[22])/5 - (56*t[23])/5 - 13*t[24] + 
       (221*t[25])/10 - (93*t[26])/5 - (33*t[27])/10 - (12*t[29])/5 + 
       (12*t[30])/5 - (24*t[31])/5 - (36*t[32])/5 - (21*t[33])/5 + 
       (18*t[34])/5 + (199*t[36])/10 + (31*t[37])/2 - (103*t[38])/10 - 
       (177*t[39])/10 + (103*t[40])/10 + (13*t[41])/5 - (13*t[42])/5 - 
       (6*t[43])/5 - (24*t[44])/5 - (59*t[45])/10 + (24*t[46])/5 + 
       (11*t[47])/5 + (115*t[48])/16 - (187*t[49])/20 - (1721*t[50])/80 + 
       (177*t[51])/20 + (217*t[52])/80 + (227*t[53])/20 + (1361*t[54])/80 + 
       (4*t[55])/5 - (12*t[58])/5 + (79*t[59])/10 + (1377*t[60])/40 + 
       (1091*t[61])/40 + (4079*t[62])/80 + (9753*t[63])/80 - 
       (1947*t[64])/80 - (1727*t[65])/30 - (1327*t[66])/6 + (4*t[67])/5 - 
       (24*t[70])/5 + (24*t[71])/5 - (183*t[74])/10 + (144*t[76])/5 - 
       (19*t[77])/10 - (467*t[78])/10 + 24*t[80] + (647*t[81])/20 - 
       (537*t[82])/20 - (4*t[84])/5 + (1057*t[85])/40 - (157*t[86])/5 - 
       (3613*t[87])/40 - (5437*t[88])/80 - (6113*t[89])/80 + (8*t[92])/5 - 
       (8*t[94])/5 - (11*t[95])/5 + (24*t[96])/5 + 144*t[98] - 
       (786*t[99])/5 - (1212*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{0, 0, 1}, 1 - v]*((-143*t[1])/20 - (137*t[2])/10 - (132*t[3])/5 + 
       (863*t[4])/20 - (2209*t[5])/80 - (133*t[6])/80 + (213*t[7])/10 + 
       (396*t[8])/5 + (365*t[9])/16 + (259*t[10])/4 + (5873*t[11])/80 - 
       (621*t[12])/80 + (1409*t[13])/120 + (16759*t[14])/120 - 
       (1471*t[15])/160 + (16*t[16])/5 - (24*t[19])/5 - (24*t[20])/5 - 
       (24*t[21])/5 + (24*t[22])/5 + (56*t[23])/5 + 5*t[24] + 
       (359*t[25])/10 - 30*t[26] - (187*t[27])/10 - (12*t[29])/5 + 
       (12*t[30])/5 + (24*t[31])/5 + (36*t[32])/5 - (19*t[33])/5 - 6*t[34] + 
       (263*t[36])/10 + (107*t[37])/10 - (87*t[38])/10 - (67*t[39])/10 + 
       (39*t[40])/10 - (13*t[41])/5 + (13*t[42])/5 - (6*t[43])/5 - 
       (24*t[44])/5 + (17*t[45])/2 - (16*t[46])/5 - (37*t[47])/5 + 
       (1039*t[48])/80 + (951*t[49])/20 - (1033*t[50])/80 - (711*t[51])/20 + 
       (1577*t[52])/80 - (559*t[53])/20 - (243*t[54])/16 + (8*t[55])/5 + 
       (59*t[59])/10 + (153*t[60])/40 + (2407*t[61])/8 - (9729*t[62])/80 + 
       (6281*t[63])/80 - (13819*t[64])/80 - (2137*t[65])/30 - 
       (2599*t[66])/10 - (8*t[67])/5 - (24*t[68])/5 - (24*t[70])/5 + 
       (24*t[71])/5 - (231*t[74])/10 + (144*t[76])/5 - (15*t[77])/2 - 
       (611*t[78])/10 - (216*t[80])/5 + (91*t[81])/4 - (733*t[82])/20 + 
       (36*t[83])/5 - 13*t[84] - (163*t[85])/8 - (229*t[86])/5 - 
       (2333*t[87])/40 - (4061*t[88])/80 - (661*t[89])/16 - (8*t[92])/5 + 
       (8*t[94])/5 - (11*t[95])/5 + 24*t[96] + (48*t[97])/5 + 144*t[98] - 
       (786*t[99])/5 - (1212*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*((29*t[1])/5 - (93*t[2])/5 + 
       (58*t[3])/5 + (249*t[4])/2 - (235*t[5])/12 + (791*t[6])/60 - 
       (103*t[7])/5 - (119*t[8])/5 + (683*t[9])/60 + (1957*t[10])/60 + 
       (2247*t[11])/20 + (841*t[12])/30 + (1342*t[13])/15 - (3521*t[14])/72 - 
       (5813*t[15])/360 - (4*t[16])/5 - (16*t[19])/5 + (176*t[25])/15 - 
       (266*t[26])/15 - (8*t[27])/15 + (28*t[29])/5 - (36*t[31])/5 - 
       (8*t[32])/5 + (8*t[33])/5 + (12*t[34])/5 - (4*t[35])/5 - 
       (134*t[36])/5 + (26*t[37])/5 + (8*t[38])/5 - (194*t[39])/15 + 
       2*t[40] - (6*t[41])/5 + (6*t[42])/5 - (28*t[44])/5 + (2*t[45])/5 - 
       (54*t[46])/5 - (12*t[47])/5 - (389*t[48])/60 - (1153*t[49])/60 - 
       (1421*t[50])/60 + (399*t[51])/40 + (701*t[52])/60 - (551*t[53])/60 - 
       (793*t[54])/12 + (16*t[59])/5 + (3686*t[60])/15 + (1106*t[61])/15 + 
       (266*t[62])/15 - (2216*t[63])/15 - (2011*t[64])/30 + (761*t[65])/90 - 
       (3401*t[66])/90 + (8*t[68])/5 + (48*t[70])/5 - (48*t[71])/5 + 
       (48*t[72])/5 + (48*t[73])/5 + (82*t[74])/5 - (84*t[75])/5 + 
       (12*t[76])/5 + (46*t[77])/5 + (34*t[78])/5 + (164*t[79])/5 - 
       (68*t[80])/5 + (39*t[81])/5 + (79*t[82])/15 - (22*t[83])/5 + 
       (621*t[84])/10 + (917*t[85])/15 + 16*t[86] - (713*t[87])/15 + 
       (131*t[88])/6 + (449*t[89])/15 - (76*t[95])/5 - (84*t[96])/5 + 
       (12*t[97])/5 - (462*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{0, 1, 1}, 1 - u]*((53*t[1])/5 - (62*t[2])/5 + (68*t[3])/5 - 
       (243*t[4])/5 - (1919*t[5])/60 - (1247*t[6])/12 - (68*t[7])/5 + 
       (372*t[8])/5 - (3409*t[9])/60 - (2312*t[10])/15 + (1301*t[11])/20 - 
       (2287*t[12])/60 - (5189*t[13])/90 + (3137*t[14])/90 - 
       (7811*t[15])/360 - (8*t[16])/5 + (32*t[19])/5 + 20*t[24] - 
       (478*t[25])/15 + (448*t[26])/15 + (766*t[27])/15 + (24*t[29])/5 + 
       20*t[33] + (142*t[36])/5 - (2*t[37])/5 + (74*t[38])/5 + 
       (742*t[39])/15 + (102*t[40])/5 - (62*t[45])/5 + (24*t[46])/5 + 
       (124*t[47])/5 - (647*t[48])/60 + (2*t[49])/15 - (67*t[50])/12 - 
       (174*t[51])/5 + (67*t[52])/12 + (64*t[53])/15 - (473*t[54])/60 - 
       (74*t[59])/5 - (481*t[60])/6 - (1139*t[61])/30 - (4243*t[62])/60 + 
       (1343*t[63])/12 + (659*t[64])/12 + (5014*t[65])/45 + (610*t[66])/9 + 
       (16*t[68])/5 + (12*t[69])/5 + (12*t[72])/5 - (182*t[74])/5 + 
       (24*t[75])/5 - (36*t[76])/5 - (102*t[77])/5 - 14*t[78] - 
       (48*t[79])/5 + (104*t[80])/5 - (97*t[81])/5 + (817*t[82])/15 + 
       (78*t[83])/5 - (58*t[84])/5 + (847*t[85])/30 + (436*t[86])/5 + 
       (2873*t[87])/30 + (2873*t[88])/60 + (1349*t[89])/60 + 4*t[95] - 
       72*t[99] - (396*t[100])/5)*\[Zeta][2]^2 + HPL[{0, 1, 1}, 1 - v]*
      ((-59*t[1])/5 + (24*t[2])/5 - (89*t[3])/5 + (57*t[4])/5 - 
       (149*t[5])/60 + (6731*t[6])/60 + (171*t[7])/5 + (201*t[8])/5 + 
       (4721*t[9])/60 + (1141*t[10])/15 + (283*t[11])/20 + (4559*t[12])/60 + 
       (227*t[13])/3 - (4589*t[14])/45 + (271*t[15])/360 - (4*t[16])/5 + 
       (64*t[19])/5 - 12*t[24] - (286*t[25])/15 + (532*t[26])/15 + 
       (334*t[27])/15 - 12*t[33] + 14*t[36] + (62*t[37])/5 - (98*t[38])/5 + 
       (538*t[39])/15 - (42*t[40])/5 + (2*t[45])/5 + (116*t[46])/5 - 
       (4*t[47])/5 + (251*t[48])/12 - (1096*t[49])/15 - (1529*t[50])/60 + 
       (173*t[51])/10 + (1529*t[52])/60 + (206*t[53])/3 + (889*t[54])/60 + 
       (82*t[59])/5 + (2293*t[60])/30 + (4591*t[61])/30 + (8387*t[62])/60 - 
       (4259*t[63])/60 - (1163*t[64])/60 + (3493*t[65])/45 - 
       (4537*t[66])/45 + (8*t[68])/5 + (24*t[69])/5 + (24*t[72])/5 - 
       (54*t[74])/5 - (24*t[75])/5 - (36*t[76])/5 + (42*t[77])/5 + 2*t[78] + 
       (48*t[79])/5 - (104*t[80])/5 + (219*t[81])/5 + (73*t[82])/15 - 
       12*t[83] + (137*t[84])/5 + (217*t[85])/30 - (292*t[86])/5 + 
       (923*t[87])/30 + (923*t[88])/60 + (4331*t[89])/60 + 4*t[95] - 
       72*t[99] - (396*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*((293*t[1])/20 + (9*t[2])/2 - 
       (8*t[3])/5 + (183*t[4])/20 + (4141*t[5])/240 + (4409*t[6])/240 - 
       (179*t[7])/10 - 18*t[8] - (2393*t[9])/48 - (1583*t[10])/60 + 
       (4521*t[11])/80 - (11479*t[12])/240 - (12653*t[13])/360 + 
       (18971*t[14])/360 + (2809*t[15])/1440 + (8*t[16])/5 - (16*t[19])/5 + 
       9*t[24] - (143*t[25])/30 - (224*t[26])/15 - (301*t[27])/30 + 
       (48*t[28])/5 - (16*t[29])/5 + (48*t[30])/5 + 12*t[31] + 4*t[32] + 
       5*t[33] - (12*t[34])/5 - (92*t[35])/5 - (249*t[36])/10 - 
       (69*t[37])/10 + (221*t[38])/10 - (17*t[39])/6 - (109*t[40])/10 + 
       (6*t[41])/5 - (6*t[42])/5 + (24*t[43])/5 - (44*t[44])/5 + 
       (109*t[45])/10 + 6*t[46] - (89*t[47])/5 + (181*t[48])/240 + 
       (25*t[49])/12 + (7117*t[50])/240 - 5*t[51] - (5389*t[52])/240 - 
       (437*t[53])/60 - (15701*t[54])/240 + (12*t[58])/5 - (173*t[59])/10 - 
       (505*t[60])/24 + (409*t[61])/120 - (13483*t[62])/240 - 
       (4345*t[63])/48 - (9281*t[64])/240 - (1691*t[65])/18 - 
       (439*t[66])/18 - (16*t[68])/5 - (12*t[69])/5 - (36*t[72])/5 + 
       (48*t[73])/5 + (273*t[74])/10 - (12*t[75])/5 - (12*t[76])/5 + 
       (93*t[77])/10 + (9*t[78])/2 + (28*t[79])/5 - (28*t[80])/5 - 
       (113*t[81])/20 - (887*t[82])/60 - (92*t[83])/5 + (38*t[84])/5 - 
       (1469*t[85])/120 - (481*t[86])/5 + (3353*t[87])/120 + 
       (3929*t[88])/240 + (217*t[89])/48 - (43*t[95])/5 - (288*t[98])/5 + 
       (966*t[99])/5 - 72*t[100])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*((-379*t[1])/20 + (23*t[2])/10 - 
       9*t[3] + (257*t[4])/20 - (803*t[5])/240 + (1525*t[6])/48 - 
       (49*t[7])/10 - (274*t[8])/5 + (11459*t[9])/240 + (3103*t[10])/60 + 
       (173*t[11])/16 + (2173*t[12])/48 - (81*t[13])/40 + (8807*t[14])/360 + 
       (8041*t[15])/1440 + (4*t[16])/5 - (16*t[19])/5 - 13*t[24] + 
       (163*t[25])/30 + (11*t[26])/3 - (511*t[27])/30 - (48*t[28])/5 - 
       (16*t[29])/5 - (36*t[31])/5 - 4*t[32] - 9*t[33] + (24*t[34])/5 + 
       (92*t[35])/5 - (401*t[36])/10 - (109*t[37])/10 - (179*t[38])/10 - 
       (727*t[39])/30 - (21*t[40])/10 - (12*t[41])/5 + (12*t[42])/5 + 
       (28*t[44])/5 + (117*t[45])/10 - (48*t[46])/5 - (137*t[47])/5 + 
       (1669*t[48])/240 - (185*t[49])/12 + (473*t[50])/48 + (11*t[51])/10 - 
       (473*t[52])/48 - (251*t[53])/60 - (5573*t[54])/240 + (19*t[59])/2 + 
       (2255*t[60])/24 + (11497*t[61])/120 - (4507*t[62])/240 + 
       (4339*t[63])/240 - (17729*t[64])/240 + (437*t[65])/90 + 
       (1381*t[66])/90 - (8*t[68])/5 - (12*t[69])/5 - 12*t[72] + 
       (48*t[73])/5 + (289*t[74])/10 - (132*t[75])/5 - (12*t[76])/5 + 
       (37*t[77])/10 + (109*t[78])/10 + (48*t[79])/5 - 28*t[80] + 
       (231*t[81])/20 - (899*t[82])/60 + (62*t[83])/5 + 52*t[84] + 
       (4003*t[85])/120 + 15*t[86] - (635*t[87])/24 - (2599*t[88])/240 - 
       (4219*t[89])/240 - (43*t[95])/5 - (72*t[96])/5 - (36*t[97])/5 - 
       (288*t[98])/5 + (966*t[99])/5 - 72*t[100])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*(-4*t[1] + t[2] + (109*t[3])/10 + 
       (507*t[4])/20 + (173*t[5])/4 - (253*t[6])/20 - (177*t[7])/10 + 
       (313*t[8])/10 - (1163*t[9])/20 - (1377*t[10])/40 + (543*t[11])/20 - 
       (643*t[12])/40 + (209*t[13])/90 + (1355*t[14])/48 - (47*t[15])/15 + 
       4*t[24] - 2*t[25] + 6*t[26] + 10*t[27] + (18*t[28])/5 - (12*t[31])/5 + 
       4*t[33] + (32*t[35])/5 + (98*t[36])/5 + 4*t[37] - 4*t[38] + 
       (28*t[39])/5 + (62*t[40])/5 - (42*t[45])/5 + (22*t[46])/5 + 
       (84*t[47])/5 + (299*t[48])/20 + (537*t[49])/40 + (87*t[50])/20 - 
       (611*t[51])/80 - (87*t[52])/20 - (777*t[53])/40 - 13*t[54] + 
       (18*t[59])/5 + (79*t[60])/20 + (267*t[61])/20 + (369*t[62])/40 + 
       (379*t[63])/8 - (2421*t[64])/40 - (961*t[65])/60 - (1691*t[66])/60 - 
       (12*t[73])/5 - (38*t[74])/5 - (48*t[75])/5 - (62*t[77])/5 - 
       (22*t[78])/5 + 16*t[79] + (44*t[80])/5 - (44*t[81])/5 + (54*t[82])/5 + 
       (54*t[83])/5 + (39*t[84])/4 - (133*t[85])/20 - (32*t[86])/5 + 
       (97*t[87])/20 + (53*t[88])/8 - (139*t[89])/8 - (48*t[95])/5 - 
       36*t[99] - (258*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*((-39*t[1])/5 - t[2] - (31*t[3])/2 + 
       (155*t[4])/4 - (503*t[5])/10 + (177*t[6])/10 + (98*t[7])/5 - 
       (41*t[8])/5 + (349*t[9])/5 + (1813*t[10])/40 + (153*t[11])/10 + 
       (797*t[12])/40 + (2611*t[13])/90 + (1661*t[14])/80 - 
       (1429*t[15])/120 + (2*t[16])/5 - 4*t[24] + (46*t[25])/5 + 
       (8*t[26])/5 - 2*t[27] - (18*t[28])/5 + (12*t[31])/5 - 4*t[33] - 
       (32*t[35])/5 + (8*t[36])/5 + (22*t[37])/5 - (54*t[38])/5 + 
       (12*t[39])/5 - (32*t[40])/5 + (12*t[45])/5 - (93*t[46])/5 - 
       (24*t[47])/5 - (49*t[48])/10 - (317*t[49])/40 - (19*t[50])/2 + 
       (85*t[51])/16 + (19*t[52])/2 + (509*t[53])/40 + t[54]/4 + 
       (39*t[59])/5 + (1563*t[60])/20 + (2101*t[61])/20 - (1637*t[62])/40 + 
       (117*t[63])/40 - (3519*t[64])/40 - (473*t[65])/60 - (5039*t[66])/60 - 
       (2*t[67])/5 - (12*t[73])/5 - (34*t[74])/5 - (24*t[75])/5 + 
       (32*t[77])/5 - (8*t[78])/5 - (46*t[79])/5 - (44*t[80])/5 + 
       (23*t[81])/5 - (33*t[82])/5 + (39*t[83])/5 + (83*t[84])/4 + 
       (553*t[85])/20 + (38*t[86])/5 - (201*t[87])/4 - (861*t[88])/40 - 
       (79*t[89])/40 - (48*t[95])/5 - 36*t[99] - (258*t[100])/5)*
      \[Zeta][2]^2 + HPL[{0, 1, 1}, 1 - w]*(-t[1] - 2*t[3] + 13*t[4] - 
       (73*t[5])/12 - (5*t[6])/12 + 2*t[7] + 10*t[8] + (97*t[9])/12 - 
       (22*t[10])/3 + (67*t[11])/4 + (55*t[12])/12 - (11*t[13])/18 - 
       (79*t[14])/9 - (181*t[15])/72 - (38*t[25])/3 + (44*t[26])/3 + 
       (62*t[27])/3 + 10*t[36] + 2*t[37] - 2*t[38] + (62*t[39])/3 + 2*t[40] - 
       2*t[45] + 4*t[47] + (23*t[48])/12 - (2*t[49])/3 - (49*t[50])/12 + 
       t[51]/2 + (49*t[52])/12 + (2*t[53])/3 + (65*t[54])/12 + 2*t[59] + 
       (77*t[60])/6 + (167*t[61])/6 + (43*t[62])/12 + (125*t[63])/12 - 
       (103*t[64])/12 + (80*t[65])/9 - (380*t[66])/9 - 10*t[74] - 2*t[77] - 
       2*t[78] + 5*t[81] + (47*t[82])/3 + 2*t[84] + (5*t[85])/6 + 4*t[86] - 
       (17*t[87])/6 - (17*t[88])/12 - (29*t[89])/12 - 4*t[95] - 24*t[99] - 
       48*t[100])*\[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (-t[1] + 13*t[2] - 15*t[3] - 17*t[4] - (29*t[5])/4 - (81*t[6])/4 + 
       25*t[7] - 51*t[8] + (361*t[9])/4 + t[10] - (47*t[11])/4 + 
       (111*t[12])/4 + t[13]/9 + (104*t[14])/3 - (113*t[15])/24 - 20*t[24] + 
       2*t[25] + 14*t[27] - 20*t[33] + 4*t[35] + 2*t[36] + 6*t[37] - 
       2*t[38] + 6*t[39] + 2*t[40] + 2*t[45] - 4*t[47] - (9*t[48])/4 - 
       24*t[49] - (25*t[50])/4 - (5*t[51])/2 + (25*t[52])/4 + 24*t[53] + 
       (89*t[54])/4 + 2*t[59] + (93*t[60])/2 + (55*t[61])/2 + (107*t[62])/4 - 
       (3*t[63])/4 - (51*t[64])/4 + (143*t[65])/3 - (17*t[66])/3 - 2*t[74] - 
       2*t[77] - 2*t[78] + 4*t[79] - 16*t[80] - 3*t[81] - 3*t[82] - 8*t[83] + 
       11*t[84] + (9*t[85])/2 - 8*t[86] - (49*t[87])/2 - (49*t[88])/4 + 
       (95*t[89])/4 - 4*t[95] - 24*t[99] - 48*t[100])*\[Zeta][2]^2 + 
     HPL[{0, 0, 1}, 1 - w]*((-3*t[1])/4 + 2*t[2] - (7*t[3])/2 - (17*t[4])/4 - 
       (41*t[5])/16 - (37*t[6])/16 + (11*t[7])/2 - (21*t[8])/2 + 
       (289*t[9])/16 - (15*t[10])/2 + (9*t[11])/16 + (55*t[12])/16 + 
       (709*t[13])/24 + (277*t[14])/12 - (245*t[15])/96 - 4*t[24] + 
       (53*t[25])/2 - 25*t[26] - (41*t[27])/2 - 4*t[33] + (15*t[36])/2 + 
       (3*t[37])/2 - (3*t[38])/2 - (41*t[39])/2 + (3*t[40])/2 - (3*t[45])/2 + 
       3*t[47] + (23*t[48])/16 - t[49]/2 + (15*t[50])/16 + (11*t[51])/8 - 
       (15*t[52])/16 + t[53]/2 - (63*t[54])/16 + (3*t[59])/2 + (77*t[60])/8 + 
       (199*t[61])/8 + (43*t[62])/16 + (125*t[63])/16 - (71*t[64])/16 + 
       (4*t[65])/3 - 37*t[66] - (15*t[74])/2 - (3*t[77])/2 - (3*t[78])/2 + 
       (15*t[81])/4 - (113*t[82])/4 + (3*t[84])/2 + (5*t[85])/8 + 3*t[86] - 
       (17*t[87])/8 - (17*t[88])/16 - (61*t[89])/16 - 3*t[95] - 18*t[99] - 
       36*t[100])*\[Zeta][2]^2 + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      (-t[1] - t[2] - 3*t[3] + (123*t[4])/5 + t[5]/20 + (71*t[6])/4 + 
       (7*t[7])/5 - (173*t[8])/5 + (139*t[9])/20 - (133*t[10])/5 + 
       (281*t[11])/20 + (121*t[12])/20 + (227*t[13])/9 - (463*t[14])/30 - 
       (227*t[15])/120 - 4*t[24] + 6*t[25] - 4*t[26] - 14*t[27] - 4*t[33] - 
       4*t[35] + (38*t[36])/5 - 2*t[37] - 2*t[38] - 6*t[39] + 2*t[40] - 
       6*t[45] - 2*t[46] + 12*t[47] + (7*t[48])/4 + (18*t[49])/5 + 
       (55*t[50])/4 + (63*t[51])/5 - (55*t[52])/4 - (18*t[53])/5 - 
       (363*t[54])/20 + 2*t[59] - (107*t[60])/10 - (121*t[61])/10 - 
       (41*t[62])/20 + (177*t[63])/20 - (643*t[64])/20 - (143*t[65])/5 - 
       (617*t[66])/15 + (12*t[73])/5 - 6*t[74] + (36*t[75])/5 - 2*t[77] - 
       2*t[78] - (12*t[79])/5 + 16*t[80] + 5*t[81] - 15*t[82] - 10*t[83] - 
       (43*t[84])/5 - (111*t[85])/10 + (8*t[86])/5 + (127*t[87])/10 + 
       (127*t[88])/20 - (373*t[89])/20 + 4*t[95] - 24*t[99] - (48*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (-t[1] + t[2] - (19*t[3])/5 - (3*t[4])/5 - (97*t[5])/20 - 
       (363*t[6])/20 - (9*t[7])/5 + (279*t[8])/5 + (93*t[9])/20 - 
       (69*t[10])/5 + (391*t[11])/20 + (83*t[12])/4 + (74*t[13])/45 + 
       (412*t[14])/15 + (947*t[15])/120 + 4*t[24] + (38*t[25])/5 - 
       (28*t[26])/5 - 2*t[27] + 4*t[33] + 4*t[35] - 6*t[36] + (42*t[37])/5 - 
       2*t[38] - 10*t[39] + 2*t[40] + 2*t[45] - 8*t[46] - 4*t[47] + 
       (237*t[48])/20 + (38*t[49])/5 - (71*t[50])/4 - (3*t[51])/2 + 
       (71*t[52])/4 + (16*t[53])/5 + (267*t[54])/20 + (14*t[59])/5 + 
       (563*t[60])/10 + (281*t[61])/10 + (901*t[62])/20 + (291*t[63])/20 - 
       (881*t[64])/20 + (349*t[65])/15 + (299*t[66])/15 + (12*t[73])/5 + 
       (38*t[74])/5 + (36*t[75])/5 - 2*t[77] - 2*t[78] + (28*t[79])/5 - 
       16*t[80] - (61*t[81])/5 + (31*t[82])/5 - 26*t[83] + (41*t[84])/5 + 
       (103*t[85])/10 - (112*t[86])/5 - (447*t[87])/10 - (447*t[88])/20 + 
       (277*t[89])/20 + 4*t[95] - 24*t[99] - (48*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]^3*(t[1]/4 + t[3]/2 - (5*t[4])/4 + (73*t[5])/48 + 
       (5*t[6])/48 - t[7]/2 - (5*t[8])/2 - (97*t[9])/48 + (11*t[10])/6 - 
       (35*t[11])/16 - (55*t[12])/48 - (229*t[13])/72 - (41*t[14])/36 + 
       (181*t[15])/288 - (5*t[25])/6 + t[26]/3 - (7*t[27])/6 - (5*t[36])/2 - 
       t[37]/2 + t[38]/2 - (7*t[39])/6 - t[40]/2 + t[45]/2 - t[47] - 
       (23*t[48])/48 + t[49]/6 + (49*t[50])/48 - t[51]/8 - (49*t[52])/48 - 
       t[53]/6 - (65*t[54])/48 - t[59]/2 - (77*t[60])/24 - (167*t[61])/24 - 
       (43*t[62])/48 - (125*t[63])/48 + (103*t[64])/48 - (20*t[65])/9 + 
       (95*t[66])/9 + (5*t[74])/2 + t[77]/2 + t[78]/2 - (5*t[81])/4 + 
       t[82]/12 - t[84]/2 - (5*t[85])/24 - t[86] + (17*t[87])/24 + 
       (17*t[88])/48 + (29*t[89])/48 + t[95] + 6*t[99] + 12*t[100])*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]^3*((-29*t[1])/60 - t[2]/2 + 
       (81*t[3])/10 - (2533*t[4])/60 + (411*t[5])/16 + (673*t[6])/240 - 
       (99*t[7])/10 - (103*t[8])/5 - (2943*t[9])/80 - (73*t[10])/15 - 
       (1081*t[11])/48 + (311*t[12])/80 - (30833*t[13])/1080 - 
       (5501*t[14])/180 + (14953*t[15])/1440 - (2*t[16])/15 + t[24] - 
       (251*t[25])/30 + (104*t[26])/15 - (13*t[27])/6 + 2*t[28] + t[33] - 
       (31*t[36])/6 - (43*t[37])/30 + (43*t[38])/30 - t[39]/6 - t[40]/2 + 
       t[45]/2 + (37*t[46])/15 - t[47] - (307*t[48])/240 + (73*t[49])/30 + 
       (3221*t[50])/240 + (87*t[51])/8 - (3221*t[52])/240 + (251*t[53])/30 - 
       (2101*t[54])/240 - t[59]/10 - (8857*t[60])/120 - (6979*t[61])/120 + 
       (3209*t[62])/240 + (527*t[63])/240 + (5433*t[64])/80 + 
       (461*t[65])/90 + (953*t[66])/10 + (2*t[67])/15 + (12*t[73])/5 + 
       (119*t[74])/30 + (36*t[75])/5 + t[77]/2 + (19*t[78])/6 - (6*t[79])/5 + 
       (20*t[80])/3 - (223*t[81])/60 + (31*t[82])/20 - (39*t[83])/5 - 
       (68*t[84])/5 - (2017*t[85])/120 - (31*t[86])/5 + (4453*t[87])/120 + 
       (4453*t[88])/240 - (2231*t[89])/240 + t[95] + 26*t[99] + 
       (206*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]^3*
      (t[1]/4 + t[2]/2 - (19*t[3])/6 - (357*t[4])/20 - (201*t[5])/16 - 
       (103*t[6])/48 + (23*t[7])/3 - t[8]/6 + (899*t[9])/48 + (56*t[10])/3 - 
       (267*t[11])/80 + (1291*t[12])/80 - (10273*t[13])/1080 + 
       (403*t[14])/60 - (3139*t[15])/1440 - t[24] - (5*t[25])/6 + t[26]/3 - 
       (7*t[27])/6 - 2*t[28] - t[33] - (141*t[36])/10 - t[37]/2 + t[38]/2 - 
       (19*t[39])/6 - (23*t[40])/6 + (23*t[45])/6 - (8*t[46])/3 - 
       (23*t[47])/3 - (155*t[48])/48 - (53*t[49])/5 - (179*t[50])/48 - 
       (31*t[51])/24 + (179*t[52])/48 + (53*t[53])/5 + (403*t[54])/48 - 
       t[59]/2 - (17*t[60])/24 + (473*t[61])/120 - (1721*t[62])/80 - 
       (2813*t[63])/240 + (8623*t[64])/240 + (209*t[65])/90 + (35*t[66])/6 + 
       (12*t[73])/5 + (17*t[74])/2 + (36*t[75])/5 + (23*t[77])/6 + 
       (7*t[78])/6 - (28*t[79])/5 - (20*t[80])/3 - (47*t[81])/12 + 
       (11*t[82])/4 - (54*t[83])/5 - (10*t[84])/3 + (55*t[85])/24 + 
       (25*t[86])/3 + (61*t[87])/24 + (61*t[88])/48 - (233*t[89])/80 + 
       t[95] + 26*t[99] + (206*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*(t[1] - (7*t[2])/2 + (11*t[3])/2 + 
       3*t[4] + 8*t[5] + 9*t[6] - (15*t[7])/2 - (13*t[8])/2 - (59*t[9])/2 + 
       (7*t[10])/2 - (7*t[11])/2 - (29*t[12])/2 - (131*t[13])/36 - 14*t[14] + 
       (7*t[15])/3 + 4*t[24] + 2*t[25] - 4*t[26] - 14*t[27] + 4*t[33] - 
       2*t[35] - 6*t[36] - 4*t[37] + 2*t[38] - 10*t[39] - 2*t[40] - 
       (3*t[48])/2 + 9*t[49] + (19*t[50])/2 + (5*t[51])/2 - (19*t[52])/2 - 
       9*t[53] - (35*t[54])/2 - 2*t[59] - 27*t[60] - 29*t[61] - 
       (33*t[62])/2 - (7*t[63])/2 + 10*t[64] - (53*t[65])/2 + (133*t[66])/6 + 
       6*t[74] + 2*t[77] + 2*t[78] - 2*t[79] + 8*t[80] - t[81] - 11*t[82] + 
       4*t[83] - (13*t[84])/2 + 2*t[86] + 11*t[87] + (11*t[88])/2 - 
       10*t[89] + 4*t[95] + 24*t[99] + 48*t[100])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*(t[1] + (7*t[2])/2 - (3*t[3])/2 - 
       3*t[4] + (15*t[5])/2 - (23*t[6])/2 + (7*t[7])/2 - (27*t[8])/2 + 
       10*t[9] + (9*t[10])/2 + 6*t[11] + 2*t[12] - (505*t[13])/36 + 6*t[14] + 
       (13*t[15])/4 - 4*t[24] - 2*t[25] - 2*t[27] - 4*t[33] + 2*t[35] - 
       14*t[36] + 2*t[38] - 6*t[39] - 2*t[40] + 4*t[45] - 8*t[47] + t[48] - 
       t[49] + 2*t[50] - (7*t[51])/2 - 2*t[52] + t[53] - 10*t[54] - 2*t[59] + 
       8*t[60] - 20*t[61] + 6*t[62] - 14*t[63] + (21*t[64])/2 - t[65]/6 + 
       (89*t[66])/2 + 14*t[74] + 2*t[77] + 2*t[78] + 2*t[79] - 8*t[80] - 
       9*t[81] + 5*t[82] - 4*t[83] + (5*t[84])/2 + 5*t[85] - 10*t[86] - 
       12*t[87] - 6*t[88] + (23*t[89])/2 + 4*t[95] + 24*t[99] + 48*t[100])*
      \[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((5*t[1])/4 + (5*t[3])/2 - (41*t[4])/4 + (365*t[5])/48 + (25*t[6])/48 - 
       (5*t[7])/2 - (25*t[8])/2 - (485*t[9])/48 + (55*t[10])/6 - 
       (239*t[11])/16 - (275*t[12])/48 - (665*t[13])/72 + (35*t[14])/36 + 
       (905*t[15])/288 + (23*t[25])/6 - (19*t[26])/3 - (83*t[27])/6 - 
       (25*t[36])/2 - (5*t[37])/2 + (5*t[38])/2 - (83*t[39])/6 - 
       (5*t[40])/2 + (5*t[45])/2 - 5*t[47] - (115*t[48])/48 + (5*t[49])/6 + 
       (245*t[50])/48 - (5*t[51])/8 - (245*t[52])/48 - (5*t[53])/6 - 
       (325*t[54])/48 - (5*t[59])/2 - (385*t[60])/24 - (835*t[61])/24 - 
       (215*t[62])/48 - (625*t[63])/48 + (515*t[64])/48 - (100*t[65])/9 + 
       (475*t[66])/9 + (25*t[74])/2 + (5*t[77])/2 + (5*t[78])/2 - 
       (25*t[81])/4 - (91*t[82])/12 - (5*t[84])/2 - (25*t[85])/24 - 5*t[86] + 
       (85*t[87])/24 + (85*t[88])/48 + (145*t[89])/48 + 5*t[95] + 30*t[99] + 
       60*t[100])*\[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*(3*t[1] + 10*t[3] - 45*t[4] + (899*t[5])/60 - 
       (25*t[6])/12 - (14*t[7])/5 - (174*t[8])/5 - (1499*t[9])/60 + 
       (944*t[10])/15 - (1077*t[11])/20 - (2021*t[12])/60 - (4703*t[13])/90 - 
       (79*t[14])/45 + (71*t[15])/360 - (22*t[25])/3 + (4*t[26])/3 - 
       (2*t[27])/3 - (46*t[36])/5 - 6*t[37] + 6*t[38] - (2*t[39])/3 - 
       6*t[40] + 6*t[45] + (14*t[46])/5 - 12*t[47] - (173*t[48])/12 + 
       (154*t[49])/15 + (139*t[50])/12 - (41*t[51])/10 - (139*t[52])/12 - 
       (136*t[53])/15 + (353*t[54])/60 - 6*t[59] - (2587*t[60])/30 - 
       (1393*t[61])/30 - (3509*t[62])/60 + (1349*t[63])/60 + 
       (5729*t[64])/60 - (314*t[65])/9 + (590*t[66])/9 - (24*t[73])/5 + 
       6*t[74] - (72*t[75])/5 + 6*t[77] + 6*t[78] - (16*t[79])/5 + t[81] - 
       (5*t[82])/3 + 36*t[83] - (104*t[84])/5 - (439*t[85])/30 + 
       (84*t[86])/5 + (331*t[87])/30 + (259*t[88])/60 - (1973*t[89])/60 - 
       4*t[95] + 72*t[99] + (336*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*(3*t[1] - 11*t[2] + 17*t[3] + 
       7*t[4] + (241*t[5])/12 + (245*t[6])/12 - 25*t[7] + 13*t[8] - 
       (1117*t[9])/12 + (43*t[10])/3 - (31*t[11])/4 - (427*t[12])/12 - 
       (86*t[13])/3 - (401*t[14])/9 + (637*t[15])/72 + 16*t[24] - 
       (34*t[25])/3 + (16*t[26])/3 - (62*t[27])/3 + 16*t[33] - 4*t[35] - 
       22*t[36] - 10*t[37] + 6*t[38] - (38*t[39])/3 - 6*t[40] + 2*t[45] - 
       4*t[47] - (35*t[48])/12 + (68*t[49])/3 + (205*t[50])/12 + 
       (5*t[51])/2 - (205*t[52])/12 - (68*t[53])/3 - (413*t[54])/12 - 
       6*t[59] - (449*t[60])/6 - (491*t[61])/6 - (391*t[62])/12 - 
       (257*t[63])/12 + (367*t[64])/12 - (605*t[65])/9 + (827*t[66])/9 + 
       22*t[74] + 6*t[77] + 6*t[78] - 4*t[79] + 16*t[80] - 7*t[81] + 
       (7*t[82])/3 + 8*t[83] - 15*t[84] - (53*t[85])/6 + (197*t[87])/6 + 
       (197*t[88])/12 - (235*t[89])/12 + 12*t[95] + 72*t[99] + 144*t[100])*
      \[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (19*t[1] + 10*t[2] + (32*t[3])/5 - (179*t[4])/2 - (379*t[5])/12 + 
       (2753*t[6])/60 - (6*t[7])/5 + (28*t[8])/5 + (187*t[9])/12 + 
       (1159*t[10])/60 - (2167*t[11])/20 - (256*t[12])/15 - (2153*t[13])/45 - 
       (11467*t[14])/360 - (553*t[15])/72 + 4*t[24] + (38*t[25])/15 - 
       (64*t[26])/3 - (46*t[27])/3 + (24*t[28])/5 + (24*t[30])/5 + 4*t[33] + 
       (12*t[34])/5 - (48*t[35])/5 - (74*t[36])/5 - 2*t[37] + (94*t[38])/5 - 
       (302*t[39])/15 - (34*t[40])/5 - (6*t[41])/5 + (6*t[42])/5 + 
       (12*t[43])/5 + 2*t[45] + (24*t[46])/5 - 4*t[47] + (17*t[48])/12 - 
       (371*t[49])/12 + (1069*t[50])/60 + (129*t[51])/8 - (61*t[52])/60 + 
       (1639*t[53])/60 + (2701*t[54])/60 + (12*t[58])/5 - 8*t[59] - 
       (134*t[60])/3 - (3382*t[61])/15 + (1781*t[62])/15 + (289*t[63])/15 + 
       (749*t[64])/30 + (6839*t[65])/90 + (11893*t[66])/90 - (24*t[72])/5 + 
       (48*t[73])/5 + (82*t[74])/5 - (36*t[75])/5 - (144*t[76])/5 + 2*t[77] + 
       42*t[78] + (108*t[79])/5 - 36*t[80] + (53*t[81])/5 - (139*t[82])/3 - 
       (96*t[83])/5 + (47*t[84])/10 + (179*t[85])/15 - (104*t[86])/5 + 
       (631*t[87])/15 + (631*t[88])/30 + (73*t[89])/3 + 4*t[95] - 
       (72*t[96])/5 - 12*t[97] - (864*t[98])/5 + (1008*t[99])/5 + 
       (1128*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-29*t[1])/5 + 14*t[2] + (52*t[3])/5 - (867*t[4])/10 + (523*t[5])/20 + 
       (571*t[6])/20 - (126*t[7])/5 - (88*t[8])/5 - (539*t[9])/20 - 
       (17*t[10])/4 - (495*t[11])/4 - (3*t[12])/10 - (380*t[13])/3 - 
       (10789*t[14])/120 + (879*t[15])/40 - 4*t[24] - 26*t[25] + 28*t[26] - 
       14*t[27] - (24*t[28])/5 - (24*t[30])/5 - 4*t[33] + (12*t[34])/5 + 
       (48*t[35])/5 - 50*t[36] - (74*t[37])/5 - 2*t[38] - 14*t[39] - 
       (74*t[40])/5 - (6*t[41])/5 + (6*t[42])/5 - (12*t[43])/5 + 10*t[45] - 
       20*t[47] + (151*t[48])/20 - (151*t[49])/20 + (927*t[50])/20 + 
       (189*t[51])/40 - (591*t[52])/20 + (79*t[53])/20 - (417*t[54])/20 + 
       (12*t[58])/5 - (44*t[59])/5 - (1023*t[60])/5 - 266*t[61] + 
       (227*t[62])/2 - (19*t[63])/2 + (1079*t[64])/10 + (2873*t[65])/30 + 
       (13571*t[66])/30 - (24*t[72])/5 + (48*t[73])/5 + (226*t[74])/5 - 
       (48*t[75])/5 - (144*t[76])/5 + 10*t[77] + 46*t[78] - (168*t[80])/5 - 
       (173*t[81])/5 + 39*t[82] - (67*t[84])/10 - (93*t[85])/5 - 20*t[86] + 
       (701*t[87])/5 + (701*t[88])/10 + (115*t[89])/2 + 20*t[95] - 
       (72*t[96])/5 - 12*t[97] - (864*t[98])/5 + (1488*t[99])/5 + 
       (2088*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - w]*
      ((-12*t[1])/5 - (24*t[3])/5 + (48*t[4])/5 - (69*t[5])/5 - (9*t[6])/5 + 
       (24*t[7])/5 + 24*t[8] + (93*t[9])/5 - (96*t[10])/5 + 21*t[11] + 
       (51*t[12])/5 + (202*t[13])/5 + (96*t[14])/5 - (59*t[15])/10 + 
       (96*t[25])/5 - (72*t[26])/5 + 24*t[36] + (24*t[37])/5 - (24*t[38])/5 + 
       (24*t[40])/5 - (24*t[45])/5 + (48*t[47])/5 + (27*t[48])/5 - 9*t[50] + 
       (6*t[51])/5 + 9*t[52] + 9*t[54] + (24*t[59])/5 + (162*t[60])/5 + 
       (342*t[61])/5 + (39*t[62])/5 + (129*t[63])/5 - (99*t[64])/5 + 
       (96*t[65])/5 - (528*t[66])/5 - 24*t[74] - (24*t[77])/5 - 
       (24*t[78])/5 + 12*t[81] - 12*t[82] + (24*t[84])/5 + (18*t[85])/5 + 
       (48*t[86])/5 - (42*t[87])/5 - (21*t[88])/5 - (33*t[89])/5 - 
       (48*t[95])/5 - (288*t[99])/5 - (576*t[100])/5)*\[Zeta][2]^3 + 
     HPL[{1}, 1 - u]*((292*t[1])/35 - (614*t[2])/35 + (3058*t[3])/105 - 
       (28*t[4])/3 - (77*t[5])/15 - (1247*t[6])/35 - (4696*t[7])/105 - 
       (428*t[8])/5 - (6551*t[9])/105 - (1706*t[10])/105 - (473*t[11])/21 - 
       (617*t[12])/15 + (12407*t[13])/315 - (1312*t[14])/105 - 
       (8507*t[15])/630 + (64*t[16])/35 - (64*t[21])/7 + (64*t[23])/7 + 
       (48*t[24])/5 + (512*t[25])/35 - (592*t[26])/35 - (32*t[27])/7 + 
       (48*t[28])/5 + (48*t[33])/5 - (24*t[35])/5 + (1992*t[36])/35 + 
       (536*t[37])/35 + (584*t[38])/35 + (16*t[39])/7 + (184*t[40])/7 - 
       (32*t[41])/7 + (32*t[42])/7 + (40*t[45])/7 - (152*t[46])/7 - 
       (80*t[47])/7 - (1229*t[48])/35 + (662*t[49])/21 + (2141*t[50])/105 + 
       (628*t[51])/105 - (2141*t[52])/105 - (662*t[53])/21 - 
       (1133*t[54])/105 - (136*t[59])/7 - (470*t[60])/7 - (9262*t[61])/105 + 
       (2351*t[62])/35 + (6821*t[63])/35 - (715*t[64])/21 - (5006*t[65])/45 - 
       (39202*t[66])/315 - (64*t[67])/35 - (32*t[68])/5 - (64*t[70])/7 + 
       (64*t[71])/7 - (432*t[74])/7 - (976*t[76])/105 - (184*t[77])/7 - 
       (664*t[78])/105 - (48*t[79])/5 - (1472*t[80])/35 - (172*t[81])/35 + 
       (52*t[82])/7 + (36*t[83])/5 - (662*t[84])/21 + (538*t[85])/105 - 
       (1744*t[86])/35 + (3586*t[87])/105 + (1793*t[88])/105 - 
       (10589*t[89])/105 - (2*t[91])/35 - (48*t[95])/5 - (288*t[99])/5 - 
       (576*t[100])/5)*\[Zeta][2]^3 + HPL[{1}, 1 - v]*
      ((-92*t[1])/7 + (614*t[2])/35 - (4066*t[3])/105 + (212*t[4])/15 - 
       (409*t[5])/15 + (1289*t[6])/35 + (5704*t[7])/105 + (668*t[8])/5 + 
       (10961*t[9])/105 - (1318*t[10])/105 + (3751*t[11])/105 + 
       (199*t[12])/3 + (9517*t[13])/315 + (5176*t[14])/105 + 
       (569*t[15])/630 - (64*t[16])/35 + (64*t[21])/7 - (64*t[23])/7 - 
       (48*t[24])/5 + (496*t[25])/35 - (16*t[26])/7 + (496*t[27])/35 - 
       (48*t[28])/5 - (48*t[33])/5 + (24*t[35])/5 - (312*t[36])/35 - 
       (40*t[37])/7 - (184*t[38])/7 + (256*t[39])/35 - (584*t[40])/35 + 
       (32*t[41])/7 - (32*t[42])/7 - (536*t[45])/35 + (152*t[46])/7 + 
       (1072*t[47])/35 + (1439*t[48])/35 - (4318*t[49])/105 - 
       (907*t[50])/21 - (376*t[51])/105 + (907*t[52])/21 + (4318*t[53])/105 + 
       (5543*t[54])/105 + (1016*t[59])/35 + (4282*t[60])/35 + 
       (22618*t[61])/105 - (1637*t[62])/35 - (5183*t[63])/35 - 
       (1087*t[64])/105 + (1462*t[65])/9 - (19262*t[66])/315 + 
       (64*t[67])/35 + (32*t[68])/5 + (64*t[70])/7 - (64*t[71])/7 + 
       (96*t[74])/7 + (976*t[76])/105 + (584*t[77])/35 - (344*t[78])/105 + 
       (48*t[79])/5 + (1472*t[80])/35 + (1012*t[81])/35 - (764*t[82])/35 - 
       (36*t[83])/5 + (4318*t[84])/105 - (158*t[85])/21 + (2416*t[86])/35 - 
       (4342*t[87])/105 - (2171*t[88])/105 + (9707*t[89])/105 + 
       (2*t[91])/35 - (48*t[95])/5 - (288*t[99])/5 - (576*t[100])/5)*
      \[Zeta][2]^3 + HPL[{0, 0, 0, 1}, 1 - v]*(-16*t[2] - 14*t[6] + 16*t[7] - 
       16*t[8] - 14*t[9] - 32*t[10] - 4*t[11] - 16*t[12] - (56*t[13])/3 - 
       (74*t[14])/3 + 4*t[15] + 16*t[23] + 16*t[40] - 8*t[41] + 8*t[42] + 
       16*t[49] - 8*t[51] - 32*t[52] - 16*t[53] - 12*t[54] - 44*t[60] - 
       32*t[61] + 64*t[62] + 64*t[63] + 48*t[64] - 28*t[65] + (40*t[66])/3 - 
       16*t[77] - 16*t[84] + 32*t[87] + 16*t[88] - 16*t[89])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*(t[1] + 8*t[4] - (3*t[5])/4 + t[6]/8 - 
       t[7]/4 - t[8]/4 + (3*t[9])/4 + (13*t[10])/4 + (21*t[11])/8 - 
       (31*t[12])/4 + (37*t[13])/12 + (17*t[14])/6 - (31*t[15])/24 - t[26] - 
       t[37] + t[38] - t[46]/2 - (3*t[48])/8 + (5*t[49])/4 - (3*t[50])/8 - 
       t[51]/2 + (3*t[52])/8 - (15*t[53])/4 + t[54]/8 - (11*t[59])/6 + 
       (35*t[60])/4 + t[61] - (33*t[62])/8 - (31*t[63])/8 - (27*t[64])/4 - 
       (25*t[65])/4 - (169*t[66])/12 - 2*t[69] + t[70] - t[71] - t[73] + 
       t[74] - t[75] + t[79] + t[81]/2 - t[82]/2 + t[83]/2 + (5*t[84])/4 + 
       t[85] - t[86] - (21*t[87])/4 - (21*t[88])/8 - (9*t[89])/8)*
      \[Zeta][3] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      ((9*t[4])/2 + (3*t[5])/8 - (3*t[7])/4 - (3*t[8])/4 - (3*t[9])/8 + 
       t[10]/4 + (3*t[11])/4 - (11*t[12])/8 + (11*t[13])/6 - (125*t[14])/48 + 
       (47*t[15])/48 + t[36] + (3*t[49])/2 - t[51]/16 - (3*t[53])/2 - 
       (7*t[54])/4 + 6*t[60] - (9*t[61])/2 + (41*t[62])/8 - (25*t[63])/8 - 
       (25*t[64])/4 - (7*t[65])/4 + (41*t[66])/12 - t[73] - t[75] + t[79] + 
       (7*t[84])/4 + (7*t[85])/4 - 3*t[86] - 6*t[87] - 3*t[88] + 4*t[89])*
      \[Zeta][3] + HPL[{0, 0, 0, 1}, 1 - u]*(-6*t[1] + 16*t[2] - 16*t[3] - 
       16*t[5] + 34*t[6] + 32*t[7] + 32*t[8] + 32*t[9] - 12*t[10] + 
       28*t[11] + 10*t[12] - 26*t[13] + 12*t[14] + (16*t[15])/3 - 16*t[23] - 
       14*t[38] + 8*t[41] - 8*t[42] + 16*t[48] + 16*t[50] - 16*t[52] - 
       12*t[54] + 14*t[59] - 12*t[60] + 16*t[61] + 12*t[62] - 12*t[63] + 
       44*t[64] + 20*t[65] + (4*t[66])/3 - 2*t[71] + 12*t[89])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((-39*t[1])/2 - 12*t[2] - 
       35*t[3] + (225*t[4])/2 - (81*t[5])/4 + 49*t[6] - (85*t[7])/2 - 
       (97*t[8])/2 + (15*t[9])/4 + (269*t[10])/4 + 73*t[11] - (41*t[12])/2 + 
       (491*t[13])/9 + (2417*t[14])/24 + (581*t[15])/24 - 6*t[18] + 8*t[19] - 
       20*t[20] - 14*t[21] + 8*t[22] + 12*t[23] - 14*t[24] + 20*t[25] - 
       13*t[26] - 12*t[27] + 6*t[29] - 2*t[30] - 20*t[31] - 6*t[32] - 
       15*t[34] - 4*t[36] - 11*t[38] + 2*t[39] + 11*t[40] + t[41]/2 - 
       (7*t[42])/2 + 12*t[43] + 15*t[45] - 18*t[46] - 38*t[47] + t[48]/2 + 
       (61*t[49])/4 - (25*t[50])/2 - (15*t[51])/8 + (19*t[52])/2 - 
       (157*t[53])/4 + 8*t[54] - 3*t[58] + 24*t[59] + 143*t[60] + 270*t[61] - 
       t[62]/2 + (213*t[63])/2 - 177*t[64] - 161*t[65] - 61*t[66] - 4*t[69] + 
       24*t[70] - 24*t[71] + 24*t[72] + 12*t[74] - 26*t[76] - 6*t[77] + 
       38*t[78] - 52*t[80] + 12*t[81] - 44*t[82] + 62*t[84] - 29*t[85] - 
       94*t[86] - 65*t[87] + (11*t[88])/2 - 54*t[89] - 8*t[95] - 8*t[96] + 
       6*t[97] - 144*t[98] + 144*t[99] - 396*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((9*t[1])/2 + 4*t[2] - 81*t[3] + 
       48*t[4] - (29*t[5])/4 + (337*t[6])/4 - (37*t[7])/2 + (313*t[8])/2 - 
       (35*t[9])/4 + 3*t[10] + (319*t[11])/4 + (141*t[12])/4 + 
       (587*t[13])/9 + (365*t[14])/3 + (863*t[15])/72 - 2*t[18] + 8*t[19] + 
       20*t[20] + 6*t[21] - 6*t[22] - 6*t[23] + 6*t[24] - 2*t[26] + 2*t[27] - 
       4*t[29] - 12*t[30] + 22*t[32] + 3*t[33] + 4*t[34] - 4*t[36] - 
       10*t[37] + 3*t[38] + 5*t[39] - 3*t[40] + (21*t[41])/2 - (23*t[42])/2 - 
       2*t[43] - 8*t[44] + 9*t[45] + 2*t[46] - 9*t[47] + (89*t[48])/4 - 
       (51*t[49])/2 - (119*t[50])/4 + 6*t[51] + (107*t[52])/4 + (7*t[53])/2 + 
       (183*t[54])/4 - 2*t[58] + 14*t[59] + (551*t[60])/2 + (611*t[61])/2 - 
       (309*t[62])/2 - (405*t[63])/2 - (553*t[64])/4 + 27*t[65] - 
       (715*t[66])/6 + 16*t[70] - 16*t[71] + 52*t[72] + 8*t[74] - 23*t[76] + 
       6*t[77] + 38*t[78] + 14*t[80] + 4*t[81] - 5*t[82] + 69*t[84] - 
       23*t[85] - 20*t[86] - 90*t[87] + 28*t[88] + (91*t[89])/4 - 16*t[95] - 
       18*t[96] + 12*t[97] - 144*t[98] + 144*t[99] - 396*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*((-7*t[1])/2 + (9*t[2])/2 - 
       (49*t[3])/2 + 27*t[4] + t[5]/4 + (167*t[6])/4 - (203*t[7])/4 + 
       (207*t[8])/4 - (137*t[9])/2 - 5*t[10] + (5*t[11])/2 - (11*t[12])/2 + 
       (1609*t[13])/72 + (281*t[14])/12 + (347*t[15])/18 - 4*t[18] + 
       8*t[19] + 12*t[20] + 2*t[21] - 2*t[22] - 2*t[23] + 2*t[24] - 2*t[26] - 
       2*t[27] + 4*t[29] - 4*t[30] + 11*t[32] + 6*t[33] - 11*t[34] - 
       2*t[36] + t[38] - 5*t[39] + 5*t[40] + (9*t[41])/2 - (13*t[42])/2 + 
       (11*t[43])/4 - 6*t[44] + (15*t[45])/2 - 3*t[46] - 28*t[47] - 4*t[48] - 
       (27*t[49])/4 - 4*t[50] + (15*t[51])/4 + 3*t[52] - (17*t[53])/4 + 
       29*t[54] - 2*t[58] + 8*t[59] + 58*t[60] + (223*t[61])/2 + 
       (201*t[62])/4 + (223*t[63])/4 - (389*t[64])/4 - (325*t[65])/6 + 
       (123*t[66])/2 + 16*t[70] - 16*t[71] + 44*t[72] + 8*t[74] - 20*t[76] - 
       6*t[77] + 18*t[78] - 12*t[80] - 4*t[81] + 5*t[82] + (51*t[84])/2 - 
       (19*t[85])/2 - 54*t[86] - (43*t[87])/2 + (101*t[88])/4 - 
       (85*t[89])/2 - 8*t[95] - 10*t[96] + 6*t[97] - 96*t[98] + 72*t[99] - 
       276*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-27*t[1])/2 - (7*t[2])/2 - (405*t[3])/4 + (85*t[4])/2 - (99*t[5])/4 + 
       (361*t[6])/4 + 24*t[7] + 127*t[8] + (277*t[9])/4 + 88*t[10] + 
       (289*t[11])/4 + (17*t[12])/4 + (1481*t[13])/36 + (4031*t[14])/24 + 
       (809*t[15])/18 - 4*t[18] + 8*t[19] - 12*t[20] - 10*t[21] + 2*t[22] + 
       10*t[23] - 10*t[24] + 12*t[25] - 4*t[26] - 8*t[27] + t[29] - 8*t[30] - 
       12*t[31] + 9*t[32] - 2*t[33] - 7*t[34] - 2*t[36] - 13*t[38] + 
       4*t[39] - 3*t[40] + t[41]/2 - (5*t[42])/2 + 6*t[43] - (9*t[44])/2 + 
       14*t[45] - 7*t[46] - 33*t[47] + (91*t[48])/4 + 3*t[49] - 
       (25*t[50])/4 - (17*t[51])/8 + (13*t[52])/4 - 14*t[53] + 
       (145*t[54])/4 - 2*t[58] + 20*t[59] + (383*t[60])/2 + (591*t[61])/2 - 
       (211*t[62])/2 - (73*t[63])/2 - (783*t[64])/4 - (83*t[65])/3 - 
       (889*t[66])/6 - 4*t[69] + 16*t[70] - 16*t[71] + 24*t[72] + 8*t[74] - 
       19*t[76] + 46*t[78] - 46*t[80] + 15*t[81] - 42*t[82] + 76*t[84] - 
       33*t[85] - 54*t[86] - 73*t[87] + (3*t[88])/2 + (57*t[89])/4 - 
       8*t[95] - 8*t[96] + 6*t[97] - 96*t[98] + 72*t[99] - 276*t[100])*
      \[Zeta][3] + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-85*t[1])/6 - (53*t[2])/3 - (11*t[3])/6 + (671*t[4])/6 + 
       (1015*t[5])/24 - (423*t[6])/8 - (31*t[7])/3 - (38*t[8])/3 - 
       (775*t[9])/24 + (451*t[10])/24 + (2239*t[11])/24 - (50*t[12])/3 + 
       (6595*t[13])/108 + (1099*t[14])/18 - (47*t[15])/144 + 10*t[25] + 
       (11*t[26])/3 - (2*t[27])/3 - 4*t[28] - 4*t[30] + (8*t[31])/3 - 
       (10*t[34])/3 + 8*t[35] - t[36] + (17*t[37])/3 - (41*t[38])/3 + 
       5*t[39] + (25*t[40])/3 + (5*t[41])/3 - (5*t[42])/3 - 2*t[43] + 
       2*t[44] + (5*t[45])/3 - 12*t[46] - (10*t[47])/3 - (79*t[48])/8 + 
       (1319*t[49])/24 - (733*t[50])/24 - (733*t[51])/24 + (205*t[52])/24 - 
       (1159*t[53])/24 - (477*t[54])/8 - (10*t[58])/3 + (37*t[59])/3 + 
       (805*t[60])/6 + (2233*t[61])/12 - (3023*t[62])/24 - (121*t[63])/24 - 
       (1163*t[64])/8 - (371*t[65])/6 - (2621*t[66])/18 - 4*t[69] - 
       (2*t[70])/3 + (2*t[71])/3 + 4*t[72] - 8*t[73] + 5*t[74] + 8*t[75] + 
       (140*t[76])/3 + t[77]/3 - (161*t[78])/3 - 16*t[79] + 36*t[80] + 
       (101*t[81])/6 + (31*t[82])/6 - (14*t[83])/3 + (19*t[84])/2 + 
       (275*t[85])/12 - 6*t[86] - (1543*t[87])/12 - (541*t[88])/8 - 
       10*t[89] - 6*t[95] + (56*t[96])/3 + 16*t[97] + 272*t[98] - 276*t[99] - 
       186*t[100])*\[Zeta][3] + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((89*t[1])/6 - (53*t[2])/3 + (4*t[3])/3 + (665*t[4])/6 + (251*t[5])/8 - 
       (1307*t[6])/24 + (29*t[7])/2 - (119*t[8])/2 - (151*t[9])/8 + 
       (701*t[10])/24 + (4201*t[11])/24 - (77*t[12])/3 + 87*t[13] + 
       (364*t[14])/9 - (2393*t[15])/144 - (20*t[25])/3 - (29*t[26])/3 + 
       (2*t[27])/3 + 4*t[28] + 4*t[30] - (8*t[31])/3 - (10*t[34])/3 - 
       8*t[35] - t[36] + (11*t[37])/3 + (49*t[38])/3 + t[39]/3 + 
       (13*t[40])/3 + (5*t[41])/3 - (5*t[42])/3 + 2*t[43] - 2*t[44] - 
       (7*t[45])/3 + (22*t[46])/3 + (14*t[47])/3 - (121*t[48])/8 + 
       (103*t[49])/8 - (193*t[50])/8 - (263*t[51])/24 + (17*t[52])/8 - 
       (71*t[53])/8 - (467*t[54])/8 - (10*t[58])/3 - (5*t[59])/3 + 
       (1081*t[60])/6 + (1243*t[61])/12 - (3721*t[62])/24 - (3199*t[63])/24 - 
       (1567*t[64])/24 - (1700*t[65])/9 - (2641*t[66])/9 + 2*t[69] + 
       (4*t[70])/3 - (4*t[71])/3 + (16*t[72])/3 - 8*t[73] + 5*t[74] + 
       8*t[75] + (154*t[76])/3 + (11*t[77])/3 - (197*t[78])/3 + 
       (136*t[80])/3 + (35*t[81])/2 - (61*t[82])/6 - (14*t[83])/3 + 
       (13*t[84])/3 + (193*t[85])/12 + 2*t[86] - (1657*t[87])/12 - 
       (579*t[88])/8 - (233*t[89])/6 - 6*t[95] + (68*t[96])/3 + 16*t[97] + 
       272*t[98] - 276*t[99] - 186*t[100])*\[Zeta][3] + 
     HPL[{0, 1, 1, 1}, 1 - v]*((41*t[1])/2 - (21*t[2])/2 - (95*t[3])/2 - 
       (137*t[4])/2 + (7*t[5])/4 + (191*t[6])/4 + (101*t[7])/2 + 
       (255*t[8])/2 + (333*t[9])/4 + 113*t[10] - (51*t[11])/4 - 
       (35*t[12])/4 + (19*t[13])/4 + (587*t[14])/4 + (587*t[15])/24 - 
       12*t[25] + 11*t[26] - 3*t[34] + 12*t[36] + 6*t[37] + 7*t[38] + 
       27*t[39] - 24*t[40] + (3*t[41])/2 - (3*t[42])/2 + 36*t[46] + 
       (193*t[48])/4 + (7*t[49])/2 - (271*t[50])/4 - (55*t[51])/4 + 
       (235*t[52])/4 + 43*t[53] + (269*t[54])/4 - 3*t[58] + (45*t[59])/2 + 
       (193*t[60])/2 + (297*t[61])/2 - 170*t[62] - 96*t[63] - (183*t[64])/4 - 
       (131*t[65])/6 - (1024*t[66])/3 - 12*t[74] + 73*t[76] + 30*t[77] - 
       33*t[78] + 48*t[80] + 58*t[81] - 58*t[82] - (35*t[84])/2 - 
       (35*t[85])/2 - 147*t[87] - (261*t[88])/2 + (301*t[89])/4 + 12*t[95] + 
       30*t[96] + 9*t[97] + 432*t[98] - 432*t[99] - 180*t[100])*\[Zeta][3] + 
     HPL[{0, 1, 1, 1}, 1 - u]*((27*t[1])/2 - (21*t[2])/2 + (95*t[3])/2 - 
       14*t[4] + (123*t[5])/4 - (255*t[6])/2 - (65*t[7])/2 - (351*t[8])/2 - 
       (149*t[9])/4 - (315*t[10])/4 - (9*t[11])/2 - (113*t[12])/2 - 
       (737*t[13])/12 - (1709*t[14])/24 - (315*t[15])/8 - 27*t[26] - 
       3*t[34] + 12*t[36] + 6*t[37] + 27*t[38] - 34*t[39] + 30*t[40] + 
       (3*t[41])/2 - (3*t[42])/2 - 30*t[46] - (123*t[48])/2 + (373*t[49])/4 + 
       (13*t[50])/2 - (61*t[51])/8 - (31*t[52])/2 - (187*t[53])/4 - 
       (23*t[54])/2 - 3*t[58] - (45*t[59])/2 - 254*t[60] - 75*t[61] + 
       (121*t[62])/2 + (679*t[63])/2 + (127*t[64])/2 - (1105*t[65])/6 + 
       (97*t[66])/2 - 12*t[70] + 12*t[71] - 12*t[74] + 66*t[76] - 24*t[77] - 
       135*t[78] + 30*t[80] - 3*t[81] + 33*t[82] - (231*t[84])/2 + 
       (27*t[85])/2 - 57*t[88] - (389*t[89])/2 + 12*t[95] + 36*t[96] + 
       9*t[97] + 432*t[98] - 432*t[99] - 180*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*((17*t[1])/6 - (119*t[2])/12 - 
       (49*t[3])/6 + (2653*t[4])/48 + (13*t[5])/8 - (83*t[6])/24 + 11*t[7] - 
       (31*t[8])/2 + (29*t[9])/8 + (1181*t[10])/96 + (499*t[11])/6 - 
       (595*t[12])/96 + (6905*t[13])/144 + (21997*t[14])/576 - 
       (289*t[15])/288 + 2*t[19] - 2*t[20] - 2*t[21] + t[22] + 2*t[23] + 
       (4*t[25])/3 - (14*t[26])/3 - (4*t[27])/3 + t[28] + t[30] - 
       (5*t[31])/3 - (4*t[34])/3 - 2*t[35] - t[36] - (4*t[37])/3 + 
       (10*t[38])/3 + (5*t[39])/6 + (7*t[40])/3 + t[41]/6 - t[42]/6 + 
       t[43]/2 + 3*t[44] + (5*t[45])/3 - (2*t[46])/3 - (10*t[47])/3 - 
       (15*t[48])/8 + (213*t[49])/32 - (79*t[50])/8 - (553*t[51])/192 + 
       (15*t[52])/8 - (325*t[53])/32 - (327*t[54])/16 - (4*t[58])/3 + 
       (11*t[59])/6 + (5195*t[60])/48 + (5191*t[61])/48 - (7015*t[62])/96 - 
       (4753*t[63])/96 - (5221*t[64])/96 - (9029*t[65])/144 - 
       (20491*t[66])/144 + (4*t[70])/3 - (4*t[71])/3 + (7*t[72])/3 - 
       2*t[73] + 2*t[74] + 2*t[75] + (89*t[76])/6 - t[77]/3 - (38*t[78])/3 + 
       (13*t[80])/3 + (23*t[81])/2 - (79*t[82])/6 - (5*t[83])/3 + 
       (667*t[84])/48 + (115*t[85])/48 - 8*t[86] - (2875*t[87])/48 - 
       (729*t[88])/32 - (1259*t[89])/96 - 4*t[95] + (11*t[96])/3 + 6*t[97] + 
       68*t[98] - 60*t[99] - 150*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*((-25*t[1])/6 - (71*t[2])/12 - 
       (23*t[3])/6 + (2365*t[4])/48 + (131*t[5])/12 - (47*t[6])/4 - 
       (22*t[7])/3 + (17*t[8])/6 - (73*t[9])/6 - (509*t[10])/96 + 
       (337*t[11])/6 + (371*t[12])/96 + (15517*t[13])/432 + 
       (17537*t[14])/576 + (599*t[15])/288 + 2*t[19] + 2*t[20] + 2*t[21] - 
       t[22] - 2*t[23] + 4*t[25] - t[26]/3 + t[27]/3 - t[28] - t[30] + 
       (5*t[31])/3 - (4*t[34])/3 + 2*t[35] - 2*t[36] - t[37]/3 - 
       (11*t[38])/3 + (7*t[39])/2 + (7*t[40])/3 + (13*t[41])/6 - 
       (13*t[42])/6 - t[43]/2 - 3*t[44] - t[45]/3 - 5*t[46] + (2*t[47])/3 - 
       4*t[48] + (1301*t[49])/96 - (35*t[50])/3 - (1313*t[51])/192 + 
       (11*t[52])/3 - (1573*t[53])/96 - (341*t[54])/16 - (4*t[58])/3 + 
       (16*t[59])/3 + (3329*t[60])/48 + (5467*t[61])/48 - (5555*t[62])/96 - 
       (1501*t[63])/96 - (1195*t[64])/32 - (465*t[65])/16 - 
       (10819*t[66])/144 + (4*t[70])/3 - (4*t[71])/3 + 4*t[72] - 2*t[73] + 
       3*t[74] + 2*t[75] + (79*t[76])/6 + (4*t[77])/3 - (41*t[78])/3 - 
       4*t[79] + 19*t[80] + (25*t[81])/3 - t[82]/3 - (5*t[83])/3 + 
       (153*t[84])/16 + (95*t[85])/48 + 4*t[86] - (2119*t[87])/48 - 
       (509*t[88])/32 - (311*t[89])/32 - 4*t[95] + (11*t[96])/3 + 6*t[97] + 
       68*t[98] - 60*t[99] - 150*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((-3*t[1])/2 - (5*t[2])/2 + (29*t[3])/4 + (73*t[4])/4 + (41*t[5])/8 - 
       13*t[6] - (9*t[7])/2 - 23*t[8] - (15*t[9])/8 - (167*t[10])/4 + 
       (53*t[11])/2 + (49*t[12])/8 + (557*t[13])/24 - (161*t[14])/6 - 
       (155*t[15])/48 - t[26] + t[27] + t[34] - 2*t[36] - t[37] + 2*t[40] - 
       t[41]/2 + t[42]/2 + (15*t[46])/2 - (13*t[48])/2 - 17*t[49] - 3*t[50] + 
       2*t[51] - 2*t[52] + 11*t[53] - (29*t[54])/2 - t[58] + t[59]/6 + 
       (87*t[60])/2 - (99*t[61])/4 + (45*t[62])/4 - (205*t[63])/4 + 
       (5*t[64])/8 - (95*t[65])/12 - (133*t[66])/12 + 2*t[69] + 2*t[72] + 
       t[73] + t[74] + t[75] + 4*t[76] - 4*t[78] - t[79] + 6*t[80] + 
       (3*t[81])/2 + t[82]/2 + t[83] + (35*t[84])/4 + 18*t[85] - t[86] - 
       (59*t[87])/4 - (55*t[88])/8 + 15*t[89] + t[97] + 48*t[98] - 48*t[99] - 
       24*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*(3*t[1] - 4*t[2] - 6*t[3] + (35*t[4])/4 + (39*t[5])/8 - 
       t[6]/4 + (17*t[7])/4 + (57*t[8])/4 - (55*t[9])/8 + (49*t[10])/2 + 
       (39*t[11])/4 - (61*t[12])/8 + (43*t[13])/18 + (565*t[14])/48 + 
       (21*t[15])/16 - t[26] - 2*t[34] - t[36] + 2*t[38] + t[39] + t[41] - 
       t[42] + (13*t[48])/4 + (33*t[49])/4 - (35*t[50])/4 - (147*t[51])/16 + 
       (27*t[52])/4 - (23*t[53])/4 - (53*t[54])/4 + t[59]/2 + (17*t[60])/2 + 
       (115*t[61])/2 - (243*t[62])/8 - (177*t[63])/8 - (13*t[64])/4 + 
       (7*t[65])/6 - (49*t[66])/6 - t[69] - t[72] + t[73] + t[75] + 5*t[76] + 
       2*t[77] - 10*t[78] - t[79] + 4*t[80] - 2*t[81] - 2*t[82] - 
       (3*t[83])/2 - (3*t[84])/2 - (3*t[85])/2 + 5*t[86] + (33*t[87])/4 + 
       (37*t[88])/8 + (69*t[89])/4 + 6*t[96] + 4*t[97] + 48*t[98] - 
       48*t[99] - 24*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      ((-7*t[1])/6 - (5*t[3])/4 - 16*t[4] - (125*t[5])/24 + (31*t[6])/8 + 
       (13*t[7])/6 + (14*t[8])/3 + (155*t[9])/24 + (7*t[10])/16 - 
       (28*t[11])/3 + (185*t[12])/16 - (367*t[13])/36 + (159*t[14])/32 + 
       (15*t[15])/8 + (7*t[26])/6 + 4*t[36] - (7*t[38])/6 + (3*t[46])/2 - 
       (5*t[48])/8 - (77*t[49])/48 - (25*t[50])/8 + (39*t[51])/32 + 
       (25*t[52])/8 + (39*t[53])/16 + (287*t[54])/24 + (7*t[59])/12 - 
       (191*t[60])/8 + (89*t[61])/24 - (17*t[62])/16 + (703*t[63])/48 + 
       (455*t[64])/48 + (155*t[65])/12 - (31*t[66])/36 - t[69] - 
       (2*t[73])/3 - (11*t[74])/3 + (28*t[75])/3 + t[79]/3 + (10*t[81])/3 - 
       (10*t[82])/3 - (23*t[83])/2 - (91*t[84])/12 - (61*t[85])/12 + 
       (11*t[86])/3 + (75*t[87])/4 + (191*t[88])/24 - (105*t[89])/16 + 
       (16*t[95])/3 - (35*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*((11*t[1])/2 - t[3]/6 - (107*t[4])/6 - 
       t[5]/4 - (7*t[6])/8 + t[7]/6 + t[8]/2 + (5*t[9])/12 - (377*t[10])/48 - 
       (29*t[11])/4 - (63*t[12])/16 + (349*t[13])/72 - (2257*t[14])/288 + 
       (419*t[15])/144 + t[25]/3 - (11*t[26])/2 + (2*t[36])/3 - (4*t[37])/3 + 
       (11*t[38])/2 + (15*t[46])/4 - (7*t[48])/8 - (55*t[49])/48 - 
       (29*t[50])/24 + (181*t[51])/96 + (29*t[52])/24 + (105*t[53])/16 + 
       (241*t[54])/24 - (53*t[59])/12 - (343*t[60])/24 - (467*t[61])/24 + 
       (553*t[62])/48 - (49*t[63])/48 + (1583*t[64])/48 + (139*t[65])/18 - 
       (139*t[66])/18 - (5*t[69])/3 + t[70]/3 + t[73]/3 - (4*t[74])/3 + 
       (25*t[75])/3 - (2*t[79])/3 + (3*t[81])/2 - (3*t[82])/2 - 
       (29*t[83])/3 - (26*t[84])/3 - (27*t[85])/4 + (223*t[87])/12 + 
       (59*t[88])/8 + (47*t[89])/48 + (16*t[95])/3 - (35*t[100])/2)*
      \[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((29*t[4])/12 - (2*t[5])/3 + (4*t[7])/3 + (4*t[8])/3 + (2*t[9])/3 + 
       (359*t[10])/24 - (5*t[11])/3 - (433*t[12])/24 - (373*t[13])/36 + 
       (2609*t[14])/144 - (127*t[15])/24 + 2*t[36] + (17*t[49])/24 - 
       (127*t[51])/16 - (53*t[53])/24 - (35*t[54])/4 - (19*t[60])/12 + 
       (181*t[61])/4 - (443*t[62])/24 + (571*t[63])/24 - (887*t[64])/24 + 
       (421*t[65])/36 + (103*t[66])/36 - t[69] - 2*t[73] - 8*t[75] + 
       2*t[79] + (55*t[83])/6 + (35*t[84])/4 + (35*t[85])/4 + (16*t[86])/3 + 
       (163*t[87])/12 + (163*t[88])/24 + (13*t[89])/8 - 17*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      (-t[1]/3 - (17*t[3])/12 + (133*t[4])/12 - (53*t[5])/24 + (11*t[6])/8 + 
       (11*t[7])/4 + (67*t[8])/12 + (29*t[9])/8 - (163*t[10])/8 + 
       (535*t[11])/24 + (25*t[12])/12 + (1439*t[13])/72 + (221*t[14])/144 - 
       (683*t[15])/144 + (7*t[25])/3 - 2*t[26] - 2*t[37] - t[38]/3 + 
       10*t[46] + (11*t[48])/8 - (505*t[49])/24 - (35*t[50])/24 - 
       (361*t[51])/48 + (35*t[52])/24 + (181*t[53])/24 - (175*t[54])/24 + 
       23*t[60] + (53*t[61])/6 - (55*t[62])/4 - (469*t[63])/12 + 
       (61*t[64])/12 - 4*t[65] - (136*t[66])/3 - 2*t[69] + t[70] - t[71] - 
       2*t[73] + 2*t[74] - 8*t[75] + 2*t[79] + t[81] - t[82] + (55*t[83])/6 + 
       (61*t[84])/6 + (53*t[85])/6 + (16*t[86])/3 + 12*t[87] + 6*t[88] + 
       (33*t[89])/2 - 17*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*((-23*t[4])/24 - (23*t[5])/48 + (23*t[7])/24 + 
       (23*t[8])/24 + (59*t[9])/48 - (41*t[10])/48 + (113*t[11])/24 - 
       (19*t[12])/6 - (53*t[13])/72 + (451*t[14])/72 - (187*t[15])/96 + 
       t[36]/2 - (101*t[49])/48 + (3*t[51])/16 + (101*t[53])/48 + t[54]/2 - 
       (41*t[60])/24 + (103*t[61])/8 - (269*t[62])/24 + (49*t[63])/24 - 
       (199*t[64])/48 - (7*t[65])/18 - (271*t[66])/18 + t[72]/2 - t[73]/2 - 
       (7*t[75])/2 + (3*t[76])/2 + t[79]/2 + (20*t[83])/3 + (3*t[84])/2 + 
       (3*t[85])/2 + (23*t[86])/6 + (137*t[87])/24 + (137*t[88])/48 - 
       (97*t[89])/16 - 8*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*((-5*t[1])/6 - (2*t[3])/3 + (5*t[4])/24 - 
       (17*t[5])/24 + (13*t[6])/16 + (13*t[7])/8 + (71*t[8])/24 + 
       (11*t[9])/8 + (99*t[10])/16 - (61*t[11])/48 - (47*t[12])/48 + 
       (23*t[13])/18 + (1855*t[14])/288 - (97*t[15])/72 + (4*t[25])/3 - 
       t[26]/2 - t[27]/2 - t[37]/2 - (5*t[38])/6 + t[46]/4 + (13*t[48])/16 - 
       (101*t[49])/48 - (25*t[50])/48 - (299*t[51])/96 + (25*t[52])/48 - 
       (79*t[53])/48 - (47*t[54])/48 + t[59]/12 - 4*t[60] + (389*t[61])/24 - 
       (71*t[62])/8 + (277*t[63])/24 - (185*t[64])/48 + (14*t[65])/3 - 
       (65*t[66])/6 - t[73]/2 + t[74]/2 - (7*t[75])/2 + (3*t[76])/2 + 
       t[79]/2 + t[81]/4 - t[82]/4 + (20*t[83])/3 + (13*t[84])/6 + 
       (29*t[85])/24 + (23*t[86])/6 + 6*t[87] + 3*t[88] - t[89]/8 - 8*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - v]^4*((3*t[1])/4 + t[3]/4 + (121*t[4])/6 - 
       (7*t[6])/16 + (5*t[7])/12 - t[8]/12 - t[9]/4 + (139*t[10])/24 + 
       (95*t[11])/48 - (61*t[12])/6 + (4*t[13])/9 + (349*t[14])/48 - 
       (125*t[15])/36 - t[25]/2 - t[26]/3 - (7*t[37])/12 + (3*t[38])/4 - 
       (7*t[46])/4 - (7*t[48])/16 + (139*t[49])/24 + t[50]/16 - 
       (13*t[51])/4 - t[52]/16 - (235*t[53])/24 - (57*t[54])/16 - 
       (11*t[59])/12 + (367*t[60])/24 - (493*t[62])/48 - (45*t[63])/16 - 
       (1357*t[64])/48 - (53*t[65])/4 - (128*t[66])/9 + (2*t[69])/3 - 
       t[70]/3 + t[71]/4 + t[73]/6 + (2*t[74])/3 - (29*t[75])/6 + 
       (2*t[79])/3 + t[81]/12 - t[82]/12 + (11*t[83])/2 + (13*t[84])/4 + 
       (31*t[85])/8 + (8*t[86])/3 - (97*t[87])/8 - (97*t[88])/16 - 
       (97*t[89])/48 + 3*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^4*
      ((127*t[4])/12 + (5*t[5])/16 - (5*t[7])/8 - (5*t[8])/8 - (5*t[9])/16 - 
       (13*t[10])/6 + (19*t[11])/8 - (197*t[12])/48 + (151*t[13])/36 - 
       (221*t[14])/48 + (427*t[15])/288 + t[36]/6 + (91*t[49])/24 - 
       (5*t[51])/8 - (91*t[53])/24 - (7*t[54])/2 + (163*t[60])/12 - 
       (47*t[61])/6 + (197*t[62])/24 - (215*t[63])/24 - (67*t[64])/6 - 
       (115*t[65])/36 + (221*t[66])/36 + t[73]/6 - (29*t[75])/6 + t[79]/6 + 
       (23*t[83])/6 + (7*t[84])/2 + (7*t[85])/2 - (5*t[86])/2 - 
       (163*t[87])/12 - (163*t[88])/24 + (95*t[89])/12 + 3*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-11*t[1])/2 - (11*t[2])/2 + (41*t[3])/2 + (235*t[4])/8 + 
       (211*t[5])/8 - (297*t[6])/8 - (31*t[7])/2 - (131*t[8])/2 - 
       (187*t[9])/8 - (287*t[10])/16 + (253*t[11])/8 + (71*t[12])/16 + 
       (1993*t[13])/72 - (2161*t[14])/96 - (125*t[15])/18 - 2*t[19] + 
       2*t[20] + 2*t[21] - 2*t[23] + 2*t[25] - 2*t[26] + 2*t[28] + 2*t[30] + 
       2*t[34] - 4*t[35] - t[36] + 3*t[37] - 2*t[38] - 2*t[39] + 5*t[40] - 
       t[41] + t[42] + t[43] - 2*t[44] - t[45] + 4*t[46] + 2*t[47] - 
       (157*t[48])/8 - (249*t[49])/16 - (29*t[50])/8 + (129*t[51])/32 - 
       (83*t[52])/8 + (89*t[53])/16 - (53*t[54])/2 - t[58] + t[59] + 
       (345*t[60])/8 - (177*t[61])/8 - (167*t[62])/16 - (161*t[63])/16 - 
       (425*t[64])/16 - (743*t[65])/24 - (247*t[66])/8 + 2*t[70] - 2*t[71] - 
       4*t[73] + 3*t[74] + 4*t[75] + 8*t[76] + t[77] - 21*t[78] + 28*t[80] + 
       t[81]/2 + (9*t[82])/2 + (9*t[84])/8 + (107*t[85])/8 - 6*t[86] - 
       (403*t[87])/8 - (243*t[88])/16 - (269*t[89])/16 - 2*t[95] - 2*t[96] + 
       4*t[97] + 48*t[98] - 60*t[99] + 5*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (-4*t[1] - 8*t[2] - (17*t[3])/2 + (259*t[4])/8 + (123*t[5])/8 - 
       (129*t[6])/8 + 7*t[7] + 11*t[8] - (191*t[9])/8 + (767*t[10])/16 + 
       (287*t[11])/8 - (95*t[12])/16 + (371*t[13])/72 + (4363*t[14])/96 + 
       (329*t[15])/72 - 2*t[19] - 2*t[20] - 2*t[21] + 2*t[22] + 2*t[23] + 
       2*t[25] + 5*t[26] + 2*t[27] - 2*t[28] - 2*t[30] - 2*t[31] - 3*t[34] + 
       4*t[35] + t[36] - t[37] - 5*t[38] + 3*t[40] + t[41]/2 - t[42]/2 - 
       t[43] + 4*t[44] + 3*t[45] - 6*t[47] - (13*t[48])/8 + (237*t[49])/16 - 
       (109*t[50])/8 - (511*t[51])/32 + (37*t[52])/8 - (237*t[53])/16 - 
       (53*t[54])/2 + 3*t[59] + (195*t[60])/8 + (691*t[61])/8 - 
       (1275*t[62])/16 - (21*t[63])/16 - (1421*t[64])/16 + (139*t[65])/8 - 
       (641*t[66])/24 + 2*t[70] - 2*t[71] + 6*t[72] - 4*t[73] - t[74] + 
       12*t[75] + 19*t[76] - 20*t[78] - 8*t[79] + 8*t[80] + (5*t[81])/2 - 
       (21*t[82])/2 - 4*t[83] - (3*t[84])/8 - (9*t[85])/8 - 2*t[86] - 
       (159*t[87])/8 + (17*t[88])/16 + (173*t[89])/16 + 2*t[95] + 8*t[96] + 
       6*t[97] + 48*t[98] - 60*t[99] + 5*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-17*t[1])/2 - (19*t[2])/2 + (41*t[3])/2 + (335*t[4])/8 + 
       (165*t[5])/8 - (299*t[6])/8 - (23*t[7])/2 - (123*t[8])/2 - 
       (133*t[9])/8 - (85*t[10])/16 + (89*t[11])/8 - (151*t[12])/16 + 
       (2167*t[13])/72 - (2921*t[14])/96 - (62*t[15])/9 - 2*t[19] - 2*t[20] - 
       2*t[21] + 2*t[23] + 2*t[25] - 2*t[28] - 2*t[30] + 2*t[34] + 4*t[35] + 
       t[36] + 3*t[37] - 4*t[38] - 2*t[39] + 5*t[40] - 3*t[41] + 3*t[42] - 
       t[43] + 2*t[44] - t[45] - 4*t[46] + 2*t[47] - (143*t[48])/8 + 
       (73*t[49])/16 - (63*t[50])/8 + (37*t[51])/32 - (49*t[52])/8 - 
       (201*t[53])/16 - (95*t[54])/4 - t[58] + t[59] + (571*t[60])/8 - 
       (385*t[61])/8 - (7*t[62])/16 - (313*t[63])/16 - (569*t[64])/16 - 
       (271*t[65])/24 + (31*t[66])/24 - 2*t[69] + 4*t[70] - 4*t[71] - 
       2*t[72] - 4*t[73] + t[74] + 4*t[75] + 14*t[76] - t[77] - t[78] - 
       8*t[79] + 8*t[80] + (7*t[81])/2 + (3*t[82])/2 - 4*t[83] + 
       (37*t[84])/8 + (227*t[85])/8 + 2*t[86] - (443*t[87])/8 - 
       (283*t[88])/16 - (3*t[89])/16 - 2*t[95] - 2*t[96] + 4*t[97] + 
       96*t[98] - 108*t[99] + 18*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (6*t[1] - 4*t[2] - 3*t[3] + (447*t[4])/8 + (131*t[5])/8 - 
       (157*t[6])/8 + (19*t[7])/2 + (21*t[8])/2 - (219*t[9])/8 + 
       (517*t[10])/16 + (369*t[11])/8 - (237*t[12])/16 + (1915*t[13])/72 + 
       (1859*t[14])/96 - (119*t[15])/18 - 2*t[19] + 2*t[20] + 2*t[21] - 
       2*t[22] - 2*t[23] + 2*t[25] - 5*t[26] + 2*t[28] + 2*t[30] + 2*t[31] - 
       3*t[34] - 4*t[35] - t[36] + t[37] + 5*t[38] - t[40] + (5*t[41])/2 - 
       (5*t[42])/2 + t[43] - 4*t[44] - 5*t[45] + 10*t[47] - (17*t[48])/8 + 
       (307*t[49])/16 - (153*t[50])/8 - (339*t[51])/32 + (81*t[52])/8 - 
       (275*t[53])/16 - (51*t[54])/2 - t[59]/2 + (453*t[60])/8 + 
       (291*t[61])/8 - (1515*t[62])/16 - (1661*t[63])/16 + (75*t[64])/16 - 
       (1507*t[65])/24 - (1745*t[66])/24 + 2*t[70] - 2*t[71] - 2*t[72] - 
       4*t[73] + 3*t[74] + 4*t[75] + 16*t[76] + 7*t[77] - 20*t[78] + 
       26*t[80] - (9*t[81])/2 - (7*t[82])/2 - (83*t[84])/8 - (57*t[85])/8 + 
       30*t[86] - (207*t[87])/8 - (63*t[88])/16 + (255*t[89])/16 - 2*t[95] + 
       12*t[96] + 9*t[97] + 96*t[98] - 108*t[99] + 18*t[100])*\[Zeta][3] + 
     HPL[{0, 0, 1, 1}, 1 - v]*(-17*t[1] + 4*t[2] + 10*t[3] + 3*t[4] + 
       (5*t[5])/2 - (41*t[6])/2 - 11*t[7] - 29*t[8] - (33*t[9])/2 + 
       (3*t[10])/2 + (29*t[11])/2 + 31*t[12] - (197*t[13])/18 - 
       (23*t[14])/4 - (91*t[15])/12 + 12*t[26] + 2*t[34] - 10*t[38] - 
       4*t[39] + 2*t[40] - t[41] + t[42] + 4*t[45] - 8*t[47] - (17*t[48])/2 - 
       (21*t[49])/2 + (39*t[50])/2 - (3*t[51])/4 + (13*t[52])/2 + 
       (21*t[53])/2 - (45*t[54])/2 - 4*t[59] + 10*t[60] - 10*t[61] - 
       17*t[62] - 7*t[63] - 65*t[64] - (52*t[65])/3 - 22*t[66] - 16*t[76] - 
       4*t[77] - 8*t[78] - 32*t[80] - 10*t[81] + 20*t[82] + 12*t[84] + 
       12*t[85] - 8*t[86] - 8*t[87] - 4*t[88] - 9*t[89] - 4*t[97] - 
       48*t[98] + 48*t[99] + 24*t[100])*\[Zeta][3] + 
     HPL[{0, 0, 1, 1}, 1 - u]*(-3*t[1] + 4*t[2] + 8*t[3] + 5*t[4] + 
       (15*t[5])/2 - (19*t[6])/2 - 23*t[7] + 15*t[8] - (67*t[9])/2 + 
       (27*t[10])/2 - (33*t[11])/2 - 8*t[12] + (229*t[13])/18 - 
       (55*t[14])/4 - (97*t[15])/12 + 6*t[26] + 2*t[34] + 4*t[37] - 4*t[38] + 
       12*t[39] - 14*t[40] - t[41] + t[42] - 4*t[45] - 2*t[46] + 8*t[47] + 
       (13*t[48])/2 - (5*t[49])/2 - (27*t[50])/2 + (5*t[51])/4 + 
       (31*t[52])/2 + (9*t[53])/2 + t[54]/2 + 4*t[58] + t[59] + 14*t[60] + 
       9*t[61] - 4*t[62] - 36*t[63] - 24*t[64] + (40*t[65])/3 - 
       (68*t[66])/3 - 4*t[76] + 12*t[77] + 4*t[78] + 16*t[80] + 2*t[81] - 
       4*t[82] + 14*t[84] + 6*t[85] + 8*t[86] + 6*t[87] + 3*t[88] + 6*t[89] - 
       4*t[97] - 48*t[98] + 48*t[99] + 24*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*(-t[1]/3 + (7*t[3])/12 - 
       (45*t[4])/4 + (7*t[5])/4 - (17*t[6])/4 - (37*t[7])/24 - (65*t[8])/24 - 
       (7*t[9])/3 - (253*t[10])/24 - (19*t[11])/4 + (67*t[12])/24 + 
       (19*t[13])/24 - (2173*t[14])/288 + (245*t[15])/72 + (4*t[25])/3 - 
       t[26] - t[36] - t[38]/3 + 4*t[46] + t[48]/4 - (107*t[49])/24 + 
       (17*t[50])/12 - (245*t[51])/96 - (17*t[52])/12 + (41*t[53])/24 + 
       (37*t[54])/12 + (11*t[59])/12 - (217*t[60])/12 + (53*t[61])/24 + 
       (455*t[62])/48 + (397*t[63])/48 + (527*t[64])/16 + (97*t[65])/9 + 
       (649*t[66])/36 + 2*t[69] + t[74]/2 - 8*t[75] - t[79]/2 - (3*t[81])/2 + 
       (3*t[82])/2 + (71*t[83])/6 - (61*t[84])/12 - (37*t[85])/6 - 
       (23*t[86])/6 + (97*t[87])/12 + (31*t[88])/24 + (11*t[89])/2 + 
       29*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      ((13*t[1])/4 + (67*t[2])/12 + (133*t[3])/6 - (4321*t[4])/48 + 
       (131*t[5])/12 - (251*t[6])/6 - (69*t[7])/4 - (989*t[8])/12 - 
       (75*t[9])/4 - (4861*t[10])/96 - (1345*t[11])/24 + (1375*t[12])/96 - 
       (5441*t[13])/144 - (13199*t[14])/192 + (107*t[15])/288 - 
       (22*t[25])/3 - (13*t[26])/6 + (14*t[27])/3 + 6*t[30] + (16*t[31])/3 + 
       (7*t[34])/6 - 2*t[35] + 5*t[36] - t[37]/3 + 7*t[38] - (11*t[39])/3 + 
       (13*t[40])/3 - (7*t[41])/12 + (7*t[42])/12 + (2*t[45])/3 + 
       (101*t[46])/6 - (4*t[47])/3 - (89*t[48])/4 - (1759*t[49])/96 + 
       (137*t[50])/12 + (25*t[51])/192 - (143*t[52])/12 + (2743*t[53])/96 + 
       (1027*t[54])/48 - (11*t[58])/6 - (21*t[59])/4 - (7651*t[60])/48 - 
       (5383*t[61])/48 + (11015*t[62])/96 + (3899*t[63])/32 + 
       (7489*t[64])/96 - (5159*t[65])/144 + (7943*t[66])/144 + 2*t[69] - 
       (26*t[70])/3 + (26*t[71])/3 + t[72]/3 + 4*t[73] - 2*t[74] - 2*t[75] + 
       (107*t[76])/6 - (34*t[77])/3 - (121*t[78])/6 + 3*t[79] + 
       (34*t[80])/3 - (7*t[81])/2 + (43*t[82])/3 + 9*t[83] - (845*t[84])/16 - 
       (211*t[85])/48 - (107*t[86])/3 + (1463*t[87])/48 - (499*t[88])/32 - 
       (5669*t[89])/96 + 14*t[95] + (26*t[96])/3 - (3*t[97])/2 + 132*t[98] - 
       116*t[99] + 33*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*((5*t[1])/6 + (31*t[2])/12 - (43*t[3])/3 - 
       (1431*t[4])/16 + (31*t[5])/2 + (23*t[6])/8 + (35*t[7])/2 + 
       (121*t[8])/6 + (21*t[9])/4 + (907*t[10])/32 - (583*t[11])/8 - 
       (359*t[12])/96 - (24521*t[13])/432 + (15415*t[14])/576 + 
       (3953*t[15])/288 - 2*t[25] + (17*t[26])/3 - (8*t[27])/3 - t[28] + 
       3*t[30] + (14*t[31])/3 - (10*t[34])/3 + 9*t[36] - (4*t[37])/3 - 
       (13*t[38])/6 + (9*t[39])/2 - (20*t[40])/3 + (5*t[41])/3 - 
       (5*t[42])/3 + (5*t[43])/2 - 2*t[44] - (4*t[45])/3 + (3*t[46])/2 + 
       (8*t[47])/3 + (81*t[48])/8 + (2335*t[49])/96 - (205*t[50])/24 - 
       (1415*t[51])/192 + (301*t[52])/24 + (195*t[53])/32 + (583*t[54])/16 - 
       t[58]/3 + (10*t[59])/3 - (6521*t[60])/48 + (3637*t[61])/48 - 
       (277*t[62])/96 + (2983*t[63])/32 + (4081*t[64])/96 - 
       (3179*t[65])/144 - (13*t[66])/16 - 2*t[69] - (20*t[70])/3 + 
       (20*t[71])/3 - 8*t[72] + 3*t[73] - 6*t[74] - t[75] + (56*t[76])/3 + 
       (10*t[77])/3 - (53*t[78])/3 + 4*t[79] + 16*t[80] + (11*t[81])/6 - 
       (5*t[82])/6 + 15*t[83] - (829*t[84])/16 - (2011*t[85])/48 - 
       (8*t[86])/3 + (597*t[87])/16 - (1169*t[88])/96 - (817*t[89])/32 + 
       14*t[95] + (50*t[96])/3 + 3*t[97] + 132*t[98] - 116*t[99] + 33*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-5*t[1])/3 + (17*t[4])/12 + (13*t[5])/12 - t[6]/4 - (8*t[7])/3 - 
       (8*t[8])/3 - (13*t[9])/12 - (191*t[10])/12 + (25*t[11])/6 + 
       (119*t[12])/6 + (295*t[13])/18 - (575*t[14])/24 + (21*t[15])/8 + 
       (5*t[26])/3 - (10*t[36])/3 - (5*t[38])/3 + (3*t[46])/2 - t[48]/4 - 
       (113*t[49])/12 - t[50]/4 + (33*t[51])/8 + t[52]/4 + (107*t[53])/12 - 
       (20*t[54])/3 + (5*t[59])/6 + (85*t[60])/6 - (110*t[61])/3 + 
       (233*t[62])/6 - (283*t[63])/6 + (55*t[64])/4 + (1039*t[65])/36 + 
       (113*t[66])/4 + 2*t[69] + 4*t[73] - (2*t[74])/3 + 16*t[75] - 4*t[79] + 
       t[81]/3 - t[82]/3 - (55*t[83])/3 + (83*t[84])/12 + (89*t[85])/12 - 
       (32*t[86])/3 + (63*t[87])/4 + (281*t[88])/24 + (347*t[89])/12 + 
       (4*t[95])/3 + 34*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*((7*t[1])/2 + (4*t[2])/3 + (63*t[3])/4 + 
       (745*t[4])/24 + (263*t[5])/24 - (199*t[6])/8 + (53*t[7])/12 - 
       (379*t[8])/12 - (571*t[9])/24 + (1643*t[10])/48 - (685*t[11])/24 - 
       (2095*t[12])/48 + (421*t[13])/108 - (1837*t[14])/288 - 
       (719*t[15])/72 - (2*t[25])/3 - (7*t[26])/3 - (2*t[27])/3 - 6*t[28] - 
       4*t[30] - (16*t[31])/3 + (5*t[34])/3 + 6*t[35] + t[36] - 
       (16*t[37])/3 + (5*t[38])/2 - (11*t[39])/2 + (13*t[40])/3 - 
       (5*t[41])/6 + (5*t[42])/6 - 3*t[43] + 4*t[44] - (10*t[45])/3 - 
       (7*t[46])/2 + (20*t[47])/3 - (135*t[48])/8 + (833*t[49])/48 + 
       (9*t[50])/8 - (233*t[51])/32 - (65*t[52])/8 - (539*t[53])/16 - 
       (11*t[54])/12 - (4*t[58])/3 - (7*t[59])/2 + (187*t[60])/24 - 
       (53*t[61])/24 - (1099*t[62])/48 + (241*t[63])/16 - (2429*t[64])/48 - 
       (283*t[65])/24 - (731*t[66])/72 - 2*t[69] - (2*t[70])/3 + 
       (2*t[71])/3 + 19*t[72] + 3*t[74] - 6*t[75] + (17*t[76])/3 - 
       (11*t[77])/3 + (22*t[78])/3 + 14*t[80] - (19*t[81])/6 + (20*t[82])/3 + 
       28*t[83] - (5*t[84])/24 + (19*t[85])/8 + (112*t[86])/3 - 
       (1007*t[87])/24 - (109*t[88])/16 - (645*t[89])/16 - (13*t[96])/3 + 
       t[97] + 12*t[98] - 44*t[99] + 36*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*((31*t[1])/12 - (5*t[2])/3 - 
       (113*t[3])/12 + (179*t[4])/8 + (611*t[5])/24 - (221*t[6])/24 + 
       (34*t[7])/3 - (79*t[8])/6 + t[9]/24 + (473*t[10])/48 + (157*t[11])/8 - 
       (181*t[12])/48 + (29*t[13])/3 + (301*t[14])/96 + (967*t[15])/72 + 
       (10*t[25])/3 - (19*t[26])/6 + (2*t[27])/3 + 5*t[28] - 5*t[30] - 
       (8*t[31])/3 - (17*t[34])/6 - 4*t[35] + t[36] + (17*t[37])/3 + 
       (4*t[38])/3 - t[39]/6 - (5*t[40])/3 + (17*t[41])/12 - (17*t[42])/12 + 
       t[43]/2 - 2*t[44] - (4*t[45])/3 - (2*t[46])/3 + (8*t[47])/3 - 
       (33*t[48])/8 + (631*t[49])/48 - (9*t[50])/8 + (301*t[51])/96 - 
       (11*t[52])/8 - (583*t[53])/48 - 8*t[54] + t[58]/6 + (25*t[59])/12 + 
       (917*t[60])/24 + (761*t[61])/24 - (285*t[62])/16 - (1195*t[63])/16 - 
       (655*t[64])/16 - (3317*t[65])/72 - (349*t[66])/24 + (10*t[70])/3 - 
       (10*t[71])/3 + (34*t[72])/3 - t[73] + t[74] + 3*t[75] + (22*t[76])/3 + 
       (14*t[77])/3 + (11*t[78])/6 - t[79] + (13*t[80])/3 - 5*t[81] - 
       (8*t[82])/3 + 13*t[83] - (217*t[84])/24 - (571*t[85])/24 - 
       (35*t[86])/3 - (305*t[87])/8 - (235*t[88])/48 - (361*t[89])/48 + 
       (8*t[96])/3 + (11*t[97])/2 + 12*t[98] - 44*t[99] + 36*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((-11*t[1])/12 + (13*t[2])/4 - (3*t[3])/4 + (47*t[4])/3 - 
       (53*t[5])/12 + (55*t[6])/8 - (7*t[7])/6 + (10*t[8])/3 + (19*t[9])/6 - 
       (113*t[10])/12 + (91*t[11])/24 + (13*t[12])/3 + (647*t[13])/72 - 
       (43*t[14])/6 - (21*t[15])/8 + (7*t[26])/6 + t[34]/2 - (7*t[36])/3 - 
       (7*t[38])/6 - t[39]/2 - t[40] - t[41]/4 + t[42]/4 + (3*t[46])/4 + 
       (17*t[48])/8 - (20*t[49])/3 + (49*t[50])/8 - (13*t[51])/8 - 
       (21*t[52])/8 + (23*t[53])/12 - (247*t[54])/24 + t[58]/2 - 
       (5*t[59])/12 + (353*t[60])/12 - (425*t[61])/12 + (737*t[62])/24 - 
       (871*t[63])/24 - (197*t[64])/8 + (535*t[65])/36 + (265*t[66])/12 - 
       t[72] + t[73] + (4*t[74])/3 + 7*t[75] - (15*t[76])/2 - t[77] + 
       7*t[78] - t[79] - 5*t[80] - t[81]/6 + (7*t[82])/6 - (40*t[83])/3 + 
       (215*t[84])/12 + (155*t[85])/12 - (23*t[86])/3 + (17*t[87])/4 + 
       (83*t[88])/24 + (589*t[89])/24 - (8*t[95])/3 - 3*t[96] - (5*t[97])/2 - 
       48*t[98] + 48*t[99] + 40*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*(-14*t[1] + 30*t[2] + 
       (35*t[3])/2 + 18*t[4] + (33*t[5])/2 - (161*t[6])/4 + (63*t[7])/2 - 
       (25*t[8])/2 + 4*t[9] - (85*t[10])/2 + (163*t[11])/4 + (13*t[12])/2 + 
       (1319*t[13])/36 + (19*t[14])/12 - (59*t[15])/12 + 4*t[20] + 4*t[21] - 
       4*t[23] + 4*t[24] + 4*t[25] + 4*t[28] - 2*t[29] + 2*t[30] + 10*t[31] + 
       4*t[33] - 12*t[37] - 6*t[38] - 2*t[40] + 2*t[41] - 2*t[42] + 6*t[43] + 
       10*t[44] - 2*t[45] - 9*t[46] + 8*t[47] - (105*t[48])/4 + 28*t[49] + 
       (67*t[50])/4 - (33*t[51])/2 - (51*t[52])/4 - 31*t[53] - 
       (199*t[54])/4 + 4*t[57] - 4*t[59] - (55*t[60])/2 + (63*t[61])/2 - 
       (103*t[62])/4 - (597*t[63])/4 - (189*t[64])/4 + (109*t[65])/6 - 
       (449*t[66])/6 - 4*t[69] - 4*t[70] + 4*t[71] + 12*t[72] + 12*t[73] + 
       8*t[74] + 4*t[75] + 22*t[76] - 10*t[78] + 80*t[80] - 8*t[81] - 
       12*t[82] + 62*t[83] + (5*t[84])/2 + (53*t[85])/2 + 144*t[86] + 
       (23*t[87])/2 + (23*t[88])/4 - (131*t[89])/4 + 80*t[98] - 64*t[99] + 
       58*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (8*t[1] + (53*t[2])/2 + t[3] + 30*t[4] + 46*t[5] - (53*t[6])/4 + 
       55*t[7] - 71*t[8] + (95*t[9])/2 - (67*t[10])/2 + (363*t[11])/4 - 
       (45*t[12])/2 + (371*t[13])/6 + (95*t[14])/3 + (563*t[15])/36 - 
       4*t[19] + 4*t[21] + 2*t[22] - 4*t[23] - 4*t[24] - 8*t[26] + 4*t[27] + 
       12*t[28] - 2*t[29] - 4*t[30] + 2*t[31] - 8*t[32] + 10*t[33] - 
       8*t[35] + 8*t[38] + 2*t[39] - 2*t[40] + 5*t[43] + 12*t[44] + 2*t[45] + 
       2*t[46] - 6*t[47] - (45*t[48])/4 - (3*t[49])/2 + (59*t[50])/4 + 
       (13*t[51])/4 - (51*t[52])/4 - (3*t[53])/2 - (159*t[54])/4 - 2*t[59] + 
       (199*t[60])/2 + (45*t[61])/2 + (41*t[62])/4 - (589*t[63])/4 - 
       (351*t[64])/4 - (200*t[65])/3 - (554*t[66])/3 - 6*t[69] + 4*t[72] + 
       12*t[73] + 6*t[74] + 12*t[75] + 24*t[76] + 4*t[77] + 4*t[78] + 
       4*t[79] + 12*t[80] + 5*t[81] - 5*t[82] + 7*t[83] + 19*t[84] + 
       (37*t[85])/2 - 8*t[86] - (75*t[87])/2 - (71*t[88])/4 - (51*t[89])/4 + 
       80*t[98] - 64*t[99] + 58*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((-17*t[1])/3 - 5*t[2] + (31*t[3])/3 - (243*t[4])/8 - (251*t[5])/24 - 
       (211*t[6])/24 - (113*t[7])/6 - (31*t[8])/6 + (247*t[9])/24 + 
       (671*t[10])/48 - (373*t[11])/8 + (63*t[12])/16 - (5207*t[13])/216 - 
       (3269*t[14])/288 + (85*t[15])/36 - (2*t[25])/3 - 2*t[26] - 2*t[27] + 
       4*t[28] - 2*t[30] - 2*t[31] + 3*t[34] + 5*t[36] + t[37]/3 - t[38] - 
       (7*t[39])/3 + 4*t[40] - (3*t[41])/2 + (3*t[42])/2 - t[43] + 4*t[44] + 
       (5*t[45])/3 - (3*t[46])/2 - (10*t[47])/3 - (139*t[48])/24 - 
       (323*t[49])/48 + (5*t[50])/24 + (227*t[51])/32 - (31*t[52])/8 + 
       (83*t[53])/48 + (135*t[54])/4 - t[58] + (7*t[59])/6 - (287*t[60])/8 - 
       (647*t[61])/8 + (1133*t[62])/48 + (7243*t[63])/48 + (2095*t[64])/48 + 
       (5581*t[65])/72 + (911*t[66])/8 + 4*t[69] + (10*t[70])/3 - 
       (10*t[71])/3 - 8*t[72] - 8*t[73] - 9*t[74] + 12*t[75] - (38*t[76])/3 - 
       (5*t[77])/3 + 8*t[78] - 16*t[79] - (34*t[80])/3 + (37*t[81])/6 - 
       (35*t[82])/6 - (88*t[83])/3 - (287*t[84])/24 + (55*t[85])/24 - 
       14*t[86] + (63*t[87])/8 - (65*t[88])/16 + (5*t[89])/48 + 14*t[95] - 
       (22*t[96])/3 - (8*t[97])/3 - 48*t[98] + 28*t[99] + 83*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((31*t[1])/3 - 8*t[2] - (61*t[3])/6 - (115*t[4])/8 - (413*t[5])/24 + 
       (257*t[6])/24 + (55*t[7])/6 + (467*t[8])/6 - (347*t[9])/24 + 
       (161*t[10])/48 + (77*t[11])/8 + (285*t[12])/16 + (3313*t[13])/216 - 
       (2741*t[14])/288 + (19*t[15])/2 + (4*t[25])/3 - 4*t[26] + 2*t[27] - 
       2*t[28] + 2*t[30] - 3*t[34] + 5*t[36] + (19*t[37])/3 + 7*t[38] - 
       t[39]/3 - 2*t[40] + (3*t[41])/2 - (3*t[42])/2 + t[43] - 4*t[44] - 
       (7*t[45])/3 + 3*t[46] + (14*t[47])/3 + (353*t[48])/24 + 
       (175*t[49])/48 - (343*t[50])/24 + (191*t[51])/32 + (133*t[52])/8 + 
       (329*t[53])/48 + (157*t[54])/4 + t[58] - (11*t[59])/6 - 
       (477*t[60])/8 - (683*t[61])/8 - (3847*t[62])/48 - (1697*t[63])/48 + 
       (11731*t[64])/48 + (829*t[65])/72 - (335*t[66])/24 - (8*t[70])/3 + 
       (8*t[71])/3 - 8*t[72] - 10*t[73] - 7*t[74] + 6*t[75] - (38*t[76])/3 + 
       (19*t[77])/3 - 12*t[78] - 2*t[79] - (10*t[80])/3 - (17*t[81])/6 - 
       (5*t[82])/6 - (49*t[83])/3 - (923*t[84])/24 - (929*t[85])/24 + 
       56*t[86] + (431*t[87])/8 + (303*t[88])/16 + (1691*t[89])/48 + 
       14*t[95] + (26*t[96])/3 + (10*t[97])/3 - 48*t[98] + 28*t[99] + 
       83*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-10*t[1] + 4*t[2] + 14*t[3] + 12*t[4] - (65*t[5])/2 + (155*t[6])/4 - 
       (127*t[7])/2 + (77*t[8])/2 + 10*t[9] + 21*t[10] - (273*t[11])/4 + 
       13*t[12] - (1363*t[13])/36 - (37*t[14])/6 - (155*t[15])/18 + 4*t[25] - 
       2*t[26] - 4*t[27] + 14*t[28] + 6*t[29] - 2*t[30] + 6*t[31] + 2*t[34] - 
       12*t[35] - 4*t[36] - 6*t[38] - 3*t[40] - t[41] + t[42] - 2*t[43] - 
       35*t[44] + 4*t[45] - 17*t[46] - 8*t[47] + (59*t[48])/4 - (9*t[49])/2 + 
       (71*t[50])/4 + (15*t[51])/4 - (15*t[52])/4 - (9*t[53])/2 + 
       (89*t[54])/4 + 2*t[58] - 7*t[59] - (119*t[60])/2 - (299*t[61])/2 + 
       (555*t[62])/4 + (593*t[63])/4 - (131*t[64])/4 + (325*t[65])/6 + 
       (1355*t[66])/6 + 4*t[69] - 24*t[72] - 4*t[73] + 4*t[75] - 50*t[76] - 
       4*t[77] + 34*t[78] - 8*t[79] - 60*t[80] - 18*t[81] + 8*t[82] - 
       44*t[83] + (21*t[84])/2 + (11*t[85])/2 - 104*t[86] + (101*t[87])/2 + 
       (101*t[88])/4 + (129*t[89])/4 - 12*t[96] - 10*t[97] - 200*t[98] + 
       184*t[99] + 266*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*(-t[1] + 4*t[2] - 12*t[3] - 27*t[4] - 
       (127*t[5])/2 + (197*t[6])/4 - (63*t[7])/2 + (261*t[8])/2 - t[9] + 
       (135*t[10])/2 - (241*t[11])/4 + 40*t[12] - (109*t[13])/36 - 
       (277*t[14])/12 + (22*t[15])/9 - 8*t[25] + 14*t[26] + 4*t[27] - 
       16*t[28] + 4*t[30] + 2*t[34] + 12*t[35] - 6*t[36] - 4*t[37] - 
       6*t[38] + 2*t[39] - 6*t[40] - t[41] + t[42] - (19*t[43])/2 - 8*t[44] + 
       15*t[46] + (119*t[48])/4 - 45*t[49] + (7*t[50])/4 + 3*t[51] + 
       (49*t[52])/4 + 36*t[53] + (145*t[54])/4 + 2*t[58] + t[59] - 
       (69*t[60])/2 - (391*t[61])/2 + (151*t[62])/4 - (203*t[63])/4 + 
       (313*t[64])/4 + (445*t[65])/3 + (452*t[66])/3 + 2*t[69] - 8*t[72] - 
       4*t[73] + 2*t[74] - 20*t[75] - 40*t[76] + 4*t[77] + 42*t[78] + 
       4*t[79] - 52*t[80] - 11*t[81] + 9*t[82] + 3*t[83] + 25*t[84] + 
       (23*t[85])/2 - 30*t[86] + (163*t[87])/2 + (163*t[88])/4 + 
       (479*t[89])/4 - 12*t[96] - 10*t[97] - 200*t[98] + 184*t[99] + 
       266*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-41*t[1])/2 + (17*t[2])/2 + (113*t[3])/6 - (329*t[4])/3 + 
       (793*t[5])/12 - (137*t[6])/12 + (97*t[7])/3 - 116*t[8] - (93*t[9])/4 - 
       (529*t[10])/6 - (1277*t[11])/12 + (17*t[12])/12 - (4349*t[13])/54 - 
       (1189*t[14])/36 + (2765*t[15])/72 + (40*t[25])/3 - (8*t[26])/3 - 
       4*t[27] + 16*t[28] - 4*t[30] - 6*t[33] + 3*t[34] - 12*t[35] + 
       (22*t[36])/3 - (8*t[37])/3 - (55*t[38])/3 + (2*t[39])/3 - 4*t[40] - 
       (3*t[41])/2 + (3*t[42])/2 + (19*t[43])/2 + 8*t[44] - (13*t[45])/3 - 
       13*t[46] + (17*t[47])/3 - (323*t[48])/12 + (11*t[49])/2 + 
       (253*t[50])/12 + (57*t[51])/4 - (131*t[52])/4 + t[53]/2 + 
       (275*t[54])/12 + (71*t[59])/6 - (578*t[60])/3 + (407*t[61])/3 + 
       (1069*t[62])/12 + (741*t[63])/4 - (67*t[64])/6 + (700*t[65])/9 + 
       (449*t[66])/2 - 2*t[69] + (16*t[70])/3 - (16*t[71])/3 + 8*t[72] + 
       4*t[73] - (10*t[74])/3 + 20*t[75] + (4*t[76])/3 - (2*t[77])/3 + 
       6*t[78] - 4*t[79] + (212*t[80])/3 - (65*t[81])/3 - 7*t[82] - 3*t[83] - 
       24*t[84] - (85*t[85])/2 + (98*t[86])/3 + (29*t[87])/2 + 
       (371*t[88])/12 - 81*t[89] + (8*t[95])/3 - (28*t[96])/3 - (5*t[97])/3 + 
       40*t[98] - 40*t[99] - 138*t[100] - 36*t[101])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*(7*t[2] - (20*t[3])/3 - 
       (715*t[4])/6 + (19*t[5])/3 - (101*t[6])/12 + (449*t[7])/6 - 
       (121*t[8])/2 - (15*t[9])/2 - (1163*t[10])/12 - (53*t[11])/12 + 
       (551*t[12])/12 + (881*t[13])/108 - (1793*t[14])/72 + 19*t[15] + 
       (4*t[25])/3 + (16*t[26])/3 + 4*t[27] - 14*t[28] - 6*t[29] + 2*t[30] - 
       6*t[31] - 6*t[33] + 12*t[35] + (16*t[36])/3 - (26*t[37])/3 - 
       (4*t[38])/3 + (2*t[39])/3 + 7*t[40] + 2*t[43] + 35*t[44] - 
       (25*t[45])/3 + 17*t[46] + (41*t[47])/3 - (269*t[48])/12 - 
       (97*t[49])/4 + (31*t[50])/12 + (181*t[51])/8 - (45*t[52])/4 + 
       (157*t[53])/4 + (587*t[54])/12 + t[59]/3 - (368*t[60])/3 + 
       (182*t[61])/3 - (451*t[62])/6 - (149*t[63])/2 + (1487*t[64])/6 - 
       (341*t[65])/9 - (397*t[66])/3 - 4*t[69] + (16*t[70])/3 - 
       (16*t[71])/3 + 24*t[72] + 4*t[73] - (4*t[74])/3 - 4*t[75] + 
       (40*t[76])/3 - (20*t[77])/3 - 8*t[78] + 8*t[79] + (140*t[80])/3 - 
       (44*t[81])/3 - 8*t[82] + 44*t[83] - 32*t[84] - 37*t[85] + 
       (320*t[86])/3 + 44*t[87] + (137*t[88])/3 - 49*t[89] + (8*t[95])/3 - 
       (4*t[96])/3 + (4*t[97])/3 + 40*t[98] - 40*t[99] - 138*t[100] - 
       36*t[101])*\[Zeta][3] + HPL[{0, 1}, 1 - v]^2*
      ((-17*t[1])/12 - (29*t[2])/3 + (209*t[3])/3 - (1441*t[4])/24 + 
       (253*t[5])/24 - (303*t[6])/4 + (257*t[7])/12 - (1277*t[8])/12 + 
       (809*t[9])/24 - (1249*t[10])/48 - (557*t[11])/6 - (491*t[12])/48 - 
       (2567*t[13])/108 - (34049*t[14])/288 - (925*t[15])/36 + 4*t[18] - 
       5*t[19] - 8*t[20] - 6*t[25] + (13*t[26])/6 - (8*t[27])/3 - 4*t[28] - 
       t[29] - 2*t[30] - (16*t[31])/3 - 11*t[32] - 3*t[33] + (73*t[34])/6 + 
       8*t[35] + 11*t[36] - (4*t[37])/3 - (2*t[38])/3 - 5*t[39] + 
       (23*t[40])/6 - (97*t[41])/12 + (121*t[42])/12 - (35*t[43])/4 + 
       (17*t[44])/2 - (46*t[45])/3 + 2*t[46] + (217*t[47])/6 - 23*t[48] + 
       (25*t[49])/48 + (22*t[50])/3 + (1409*t[51])/96 - (149*t[52])/6 - 
       (65*t[53])/48 + (177*t[54])/8 - (5*t[58])/6 - (23*t[59])/3 - 
       (3191*t[60])/24 - (6955*t[61])/24 + (2903*t[62])/48 + 
       (4969*t[63])/48 + (3279*t[64])/16 + (699*t[65])/8 + (8677*t[66])/72 - 
       (38*t[70])/3 + (38*t[71])/3 - 14*t[72] - 6*t[73] - 13*t[74] + 
       6*t[75] + (71*t[76])/3 - (17*t[77])/3 - (2*t[78])/3 - 16*t[79] + 
       34*t[80] + (5*t[81])/6 + (26*t[82])/3 + (10*t[83])/3 - (403*t[84])/8 + 
       (577*t[85])/24 + 80*t[86] + (19*t[87])/24 - (367*t[88])/16 - 
       (187*t[89])/16 + 18*t[95] - (7*t[96])/3 - 8*t[97] + 140*t[98] - 
       192*t[99] + 366*t[100] - 6*t[101])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]^2*((247*t[1])/12 - (5*t[2])/3 + (227*t[3])/6 - 
       (1039*t[4])/24 + (189*t[5])/8 - (1457*t[6])/24 + (145*t[7])/4 + 
       (19*t[8])/4 - (341*t[9])/8 + (1423*t[10])/48 - (1403*t[11])/24 - 
       (443*t[12])/48 - (1987*t[13])/36 - (21391*t[14])/288 - (89*t[15])/12 + 
       4*t[18] - 5*t[19] + 8*t[20] + 8*t[21] - 4*t[22] - 8*t[23] + 8*t[24] - 
       (14*t[25])/3 - (13*t[26])/6 + (32*t[27])/3 + 2*t[28] - t[29] + 
       4*t[30] + (16*t[31])/3 - 7*t[32] - 3*t[33] - (5*t[34])/6 - 4*t[35] + 
       5*t[36] + (35*t[37])/3 + (40*t[38])/3 - (19*t[39])/6 - (19*t[40])/6 + 
       (53*t[41])/12 - (29*t[42])/12 - (23*t[43])/4 - (7*t[44])/2 - 
       (46*t[45])/3 + (7*t[46])/3 + (217*t[47])/6 - (31*t[48])/8 + 
       (583*t[49])/16 - (39*t[50])/8 - (761*t[51])/96 + (35*t[52])/8 - 
       (159*t[53])/16 - (23*t[54])/4 + (13*t[58])/6 - (79*t[59])/6 - 
       (5003*t[60])/24 - (4357*t[61])/24 - (2741*t[62])/48 - 
       (1859*t[63])/48 + (12199*t[64])/48 + (1475*t[65])/72 + 
       (9475*t[66])/72 - (44*t[70])/3 + (44*t[71])/3 - (8*t[72])/3 - 
       8*t[73] - 9*t[74] + 8*t[75] + (119*t[76])/6 + (14*t[77])/3 - 
       (110*t[78])/3 + (79*t[80])/3 - 26*t[81] + (173*t[82])/6 + 
       (40*t[83])/3 - (2569*t[84])/24 - (1039*t[85])/24 + 88*t[86] + 
       (1915*t[87])/24 + (233*t[88])/16 + (1151*t[89])/48 + 18*t[95] + 
       (74*t[96])/3 + 5*t[97] + 140*t[98] - 192*t[99] + 366*t[100] - 
       6*t[101])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      (16*t[1] + (3*t[2])/2 + (365*t[3])/4 - 47*t[4] + 11*t[5] - 84*t[6] - 
       (35*t[7])/2 - (219*t[8])/2 - (113*t[9])/2 - (161*t[10])/4 - 58*t[11] - 
       (11*t[12])/4 - (55*t[13])/2 - (416*t[14])/3 - (3293*t[15])/72 + 
       4*t[18] - 10*t[19] + 12*t[20] + 10*t[21] - 2*t[22] - 10*t[23] + 
       10*t[24] - 12*t[25] + 2*t[26] + 8*t[27] - t[29] + 8*t[30] + 12*t[31] - 
       9*t[32] + 6*t[33] + 6*t[34] + 2*t[36] + 14*t[38] - 8*t[39] + 4*t[40] + 
       2*t[42] - 6*t[43] + (9*t[44])/2 - 12*t[45] + 7*t[46] + 31*t[47] - 
       22*t[48] - (9*t[49])/4 + 5*t[50] - (13*t[51])/4 - 3*t[52] + 
       (45*t[53])/4 - (51*t[54])/2 - 18*t[59] - (397*t[60])/2 - 
       (479*t[61])/2 + 58*t[62] + 32*t[63] + (769*t[64])/4 + 42*t[65] + 
       (213*t[66])/2 + 4*t[69] - 16*t[70] + 18*t[71] - 24*t[72] - 8*t[74] + 
       3*t[76] - 20*t[78] + 22*t[80] - 15*t[81] + 36*t[82] - 72*t[84] + 
       17*t[85] + 54*t[86] + 77*t[87] + t[88]/2 - (63*t[89])/4 + 8*t[95] + 
       8*t[96] - 4*t[97] + 24*t[98] + 312*t[100] + 24*t[101])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*(6*t[1] - (15*t[2])/2 + 
       (37*t[3])/2 - (89*t[4])/2 + 2*t[5] - 34*t[6] + (117*t[7])/4 - 
       (105*t[8])/4 + (249*t[9])/4 + (37*t[10])/4 + (37*t[11])/4 + 
       (45*t[12])/2 - (425*t[13])/24 - (533*t[14])/24 - (965*t[15])/72 + 
       4*t[18] - 10*t[19] - 12*t[20] - 2*t[21] + 2*t[22] + 2*t[23] - 
       2*t[24] + 2*t[26] + 2*t[27] - 4*t[29] + 4*t[30] - 11*t[32] - 2*t[33] + 
       8*t[34] + 2*t[36] + 2*t[37] + t[39] - 2*t[40] - 3*t[41] + 5*t[42] - 
       (11*t[43])/4 + 6*t[44] - (11*t[45])/2 + t[46] + 26*t[47] + 
       (25*t[48])/4 - 3*t[49] + (17*t[50])/4 + (29*t[51])/8 - (9*t[52])/4 + 
       10*t[53] - (67*t[54])/4 + 2*t[58] - 7*t[59] - 56*t[60] - 
       (183*t[61])/2 - (227*t[62])/4 - (277*t[63])/4 + (477*t[64])/4 + 
       (659*t[65])/6 - (119*t[66])/2 - 16*t[70] + 16*t[71] - 44*t[72] - 
       8*t[74] - 2*t[76] + 4*t[77] + 26*t[78] + 4*t[80] + 6*t[81] - 3*t[82] - 
       (67*t[84])/2 - (17*t[85])/2 + 54*t[86] + (63*t[87])/2 - (81*t[88])/4 + 
       (79*t[89])/2 + 8*t[95] + 2*t[96] - 2*t[97] + 24*t[98] + 312*t[100] + 
       24*t[101])*\[Zeta][3] + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-22*t[1])/3 + (131*t[2])/3 - 91*t[3] - (757*t[4])/3 - (421*t[5])/12 + 
       (469*t[6])/6 - (197*t[7])/6 + (731*t[8])/6 + (175*t[9])/12 + 
       (139*t[10])/4 - (1561*t[11])/6 + (67*t[12])/6 - (21329*t[13])/108 + 
       (1705*t[14])/24 + (4663*t[15])/72 - 8*t[18] + 6*t[19] - 8*t[21] + 
       4*t[22] + 8*t[23] - 8*t[24] - (20*t[25])/3 + 17*t[26] - 4*t[27] + 
       2*t[28] + 2*t[29] - 2*t[30] + 18*t[32] + 10*t[33] - (44*t[34])/3 - 
       4*t[35] + 26*t[36] + (4*t[37])/3 - (25*t[38])/3 - (44*t[39])/3 - 
       (13*t[40])/3 + (4*t[41])/3 - (16*t[42])/3 + (29*t[43])/2 - 5*t[44] + 
       (70*t[45])/3 + (34*t[46])/3 - (167*t[47])/3 + (43*t[48])/2 + 
       (91*t[49])/12 + (197*t[50])/6 + (77*t[51])/8 + (79*t[52])/6 + 
       (649*t[53])/12 + (381*t[54])/2 - (8*t[58])/3 + (79*t[59])/6 - 
       (2299*t[60])/6 - (109*t[61])/3 + (363*t[62])/2 + (2911*t[63])/6 + 
       (313*t[64])/12 - (1217*t[65])/9 + (3617*t[66])/18 + 4*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 + (58*t[72])/3 - 10*t[73] - 8*t[74] + 
       10*t[75] - 41*t[76] - 16*t[77] - (49*t[78])/3 - 8*t[79] - 
       (140*t[80])/3 - (50*t[81])/3 + 5*t[82] + (98*t[83])/3 - 
       (302*t[84])/3 - (203*t[85])/2 - 104*t[86] + (257*t[87])/6 - 
       (97*t[88])/4 - (1825*t[89])/12 + 36*t[95] + (52*t[96])/3 - 5*t[97] - 
       200*t[98] + 192*t[99] + 24*t[100] + 36*t[101])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*(-4*t[4] - (2*t[5])/3 + (2*t[6])/3 + (2*t[9])/3 + 
       (4*t[10])/3 - 6*t[11] + (2*t[12])/3 + (16*t[13])/9 + (28*t[14])/9 - 
       t[15]/9 + (8*t[25])/3 - (8*t[26])/3 - (8*t[27])/3 - (8*t[39])/3 - 
       (2*t[48])/3 - (4*t[49])/3 - (2*t[50])/3 + (2*t[52])/3 + (4*t[53])/3 + 
       (10*t[54])/3 - (4*t[60])/3 - (4*t[61])/3 + (2*t[62])/3 - (2*t[63])/3 - 
       (2*t[64])/3 + (16*t[65])/9 + (32*t[66])/9 - (8*t[82])/3 - 
       (4*t[85])/3 + (4*t[87])/3 + (2*t[88])/3 + (2*t[89])/3)*\[Zeta][2]*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*(15*t[1] + 2*t[2] - 
       15*t[3] + (105*t[4])/2 - (101*t[5])/4 + (97*t[6])/4 + 43*t[7] + 
       36*t[8] + (213*t[9])/4 + 9*t[10] + (117*t[11])/4 - (251*t[12])/4 - 
       (317*t[13])/18 + (1891*t[14])/24 - (125*t[15])/24 - 4*t[24] + 
       8*t[25] - 26*t[26] - 4*t[27] - 8*t[31] - 4*t[33] - 6*t[36] - 2*t[37] + 
       12*t[38] - 4*t[40] + 2*t[45] - 20*t[46] - 4*t[47] + (37*t[48])/4 - 
       (5*t[49])/2 + (21*t[50])/4 + (103*t[51])/8 - (5*t[52])/4 - 
       (21*t[53])/2 - (11*t[54])/4 - 8*t[59] + (59*t[60])/2 + 192*t[61] - 
       (177*t[62])/2 + 75*t[63] - (127*t[64])/2 - (83*t[65])/6 - 
       (205*t[66])/6 + 2*t[67] + 4*t[68] + 4*t[70] - 4*t[71] + 56*t[72] + 
       8*t[73] + 10*t[74] - 112*t[75] - 8*t[76] + 2*t[77] + 12*t[78] + 
       8*t[79] - 4*t[80] + 5*t[81] + t[82] + 156*t[83] + (69*t[84])/2 - 
       11*t[85] + 52*t[86] + 6*t[87] + 27*t[88] - (87*t[89])/4 + 2*t[90] + 
       4*t[93] - 4*t[95] - 4*t[96] - 2*t[97] - 48*t[98] + 72*t[99] - 
       152*t[100])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (t[1] - 2*t[2] + 4*t[3] + 3*t[4] + (27*t[5])/4 - t[6]/4 - 6*t[7] + 
       8*t[8] - (91*t[9])/4 + 4*t[10] + (21*t[11])/4 - (29*t[12])/4 - 
       (79*t[13])/6 - 10*t[14] + (29*t[15])/8 + 4*t[24] - 6*t[25] + 4*t[26] - 
       2*t[27] + 4*t[33] - 10*t[36] - 2*t[37] + 2*t[38] - 2*t[39] - 2*t[40] + 
       2*t[45] - 4*t[47] + (3*t[48])/4 + 6*t[49] + (11*t[50])/4 - 
       (3*t[51])/2 - (11*t[52])/4 - 6*t[53] - (43*t[54])/4 - 2*t[59] - 
       (23*t[60])/2 - (45*t[61])/2 - (17*t[62])/4 - (39*t[63])/4 + 
       (45*t[64])/4 - 16*t[65] + (100*t[66])/3 + 10*t[74] + 2*t[77] + 
       2*t[78] - 5*t[81] + 7*t[82] - 2*t[84] + t[85]/2 - 4*t[86] + 
       (3*t[87])/2 + (3*t[88])/4 - t[89]/4 + 4*t[95] + 24*t[99] + 48*t[100])*
      \[Zeta][2]*\[Zeta][3] + HPL[{0, 1}, 1 - w]*(t[1] - 2*t[2] + 4*t[3] - 
       3*t[4] + (73*t[5])/12 + (5*t[6])/12 - 6*t[7] + 8*t[8] - 
       (265*t[9])/12 + (16*t[10])/3 - (11*t[11])/4 - (79*t[12])/12 - 
       (145*t[13])/18 - (32*t[14])/9 + (253*t[15])/72 + 4*t[24] + 
       (2*t[25])/3 - (8*t[26])/3 - (26*t[27])/3 + 4*t[33] - 10*t[36] - 
       2*t[37] + 2*t[38] - (26*t[39])/3 - 2*t[40] + 2*t[45] - 4*t[47] + 
       t[48]/12 + (14*t[49])/3 + (25*t[50])/12 - (3*t[51])/2 - 
       (25*t[52])/12 - (14*t[53])/3 - (89*t[54])/12 - 2*t[59] - 
       (53*t[60])/6 - (167*t[61])/6 - (67*t[62])/12 - (101*t[63])/12 + 
       (103*t[64])/12 - (80*t[65])/9 + (332*t[66])/9 + 10*t[74] + 2*t[77] + 
       2*t[78] - 5*t[81] + t[82]/3 - 2*t[84] + (19*t[85])/6 - 4*t[86] - 
       (7*t[87])/6 - (7*t[88])/12 + (29*t[89])/12 + 4*t[95] + 24*t[99] + 
       48*t[100])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      (t[1] + 2*t[3] + t[4] + (27*t[5])/4 - t[6]/4 - 2*t[7] - 10*t[8] - 
       (35*t[9])/4 + 6*t[10] - (3*t[11])/4 - (21*t[12])/4 - (107*t[13])/6 - 
       11*t[14] + (21*t[15])/8 - 10*t[25] + 8*t[26] + 2*t[27] - 10*t[36] - 
       2*t[37] + 2*t[38] + 2*t[39] - 2*t[40] + 2*t[45] - 4*t[47] - 
       (5*t[48])/4 + 2*t[49] + (19*t[50])/4 - t[51]/2 - (19*t[52])/4 - 
       2*t[53] - (35*t[54])/4 - 2*t[59] - (15*t[60])/2 - (61*t[61])/2 - 
       (25*t[62])/4 - (31*t[63])/4 + (29*t[64])/4 - (16*t[65])/3 + 
       (116*t[66])/3 + 10*t[74] + 2*t[77] + 2*t[78] - 5*t[81] + 7*t[82] - 
       2*t[84] + (9*t[85])/2 - 4*t[86] - (5*t[87])/2 - (5*t[88])/4 + 
       (15*t[89])/4 + 4*t[95] + 24*t[99] + 48*t[100])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*((3*t[1])/2 + (7*t[2])/2 + (5*t[3])/2 - (3*t[4])/4 + 
       (293*t[5])/24 - (191*t[6])/24 - 6*t[7] - 42*t[8] + (7*t[9])/24 + 
       (37*t[10])/12 - (109*t[11])/8 - (143*t[12])/24 - (23*t[13])/4 - 
       (4283*t[14])/144 + (5*t[15])/144 - 2*t[16] - 4*t[24] - (16*t[25])/3 + 
       (7*t[26])/3 - (8*t[27])/3 + 4*t[31] - 4*t[33] - 11*t[36] - t[37] + 
       3*t[38] - (14*t[39])/3 - 2*t[40] + t[45] - 2*t[47] - (79*t[48])/24 + 
       (55*t[49])/6 + (257*t[50])/24 - (21*t[51])/16 - (209*t[52])/24 - 
       (11*t[53])/3 - (475*t[54])/24 - (7*t[59])/2 + (47*t[60])/12 - 
       (731*t[61])/6 + (611*t[62])/12 - (229*t[63])/6 - (131*t[64])/12 - 
       (455*t[65])/36 + (2099*t[66])/36 - t[68] - 2*t[70] + 2*t[71] - 
       28*t[72] - 4*t[73] + 7*t[74] + 56*t[75] + 4*t[76] + t[77] - 4*t[78] - 
       4*t[79] + 2*t[80] - (13*t[81])/2 + (5*t[82])/6 - 78*t[83] - 
       (17*t[84])/4 + (79*t[85])/6 - 30*t[86] - (59*t[87])/3 - (89*t[88])/6 + 
       (481*t[89])/24 - 2*t[93] + 6*t[95] + 2*t[96] - t[97] + 24*t[98] - 
       12*t[99] + 124*t[100])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*((-15*t[1])/2 - t[2] + (23*t[3])/2 - (57*t[4])/4 + 
       (281*t[5])/24 - (137*t[6])/24 - 29*t[7] + (5*t[8])/2 - 
       (1121*t[9])/24 - (32*t[10])/3 - (95*t[11])/8 + (631*t[12])/24 + 
       (121*t[13])/12 - (6953*t[14])/144 + (569*t[15])/144 + 8*t[24] - 
       (10*t[25])/3 + (31*t[26])/3 - (20*t[27])/3 + 4*t[31] + 8*t[33] - 
       7*t[36] - 3*t[37] - 5*t[38] - (26*t[39])/3 + t[45] + 10*t[46] - 
       2*t[47] - (49*t[48])/24 - (55*t[49])/12 + (47*t[50])/24 - 
       (135*t[51])/16 + t[52]/24 + t[53]/12 - (133*t[54])/24 - t[59]/2 + 
       (203*t[60])/12 - (484*t[61])/3 + (737*t[62])/12 - (209*t[63])/3 + 
       (55*t[64])/3 - (671*t[65])/36 + (1667*t[66])/36 - t[67] - 2*t[68] - 
       2*t[70] + 2*t[71] - 28*t[72] - 4*t[73] + 5*t[74] + 56*t[75] + 
       4*t[76] - t[77] - 4*t[78] - 4*t[79] + 2*t[80] - (17*t[81])/2 - 
       (43*t[82])/6 - 78*t[83] - (29*t[84])/4 + (157*t[85])/6 - 30*t[86] - 
       (92*t[87])/3 - (61*t[88])/3 + (571*t[89])/24 - t[90] - 2*t[93] + 
       6*t[95] + 2*t[96] - t[97] + 24*t[98] - 12*t[99] + 124*t[100])*
      \[Zeta][2]*\[Zeta][3] + HPL[{0, 1}, 1 - u]*(12*t[1] + 5*t[2] - 2*t[3] - 
       11*t[4] + (94*t[5])/3 + (23*t[6])/3 - 10*t[7] - 69*t[8] + 
       (17*t[9])/3 + (77*t[10])/6 - 75*t[11] - (167*t[12])/6 - 
       (502*t[13])/9 + (1507*t[14])/36 - (55*t[15])/9 - 16*t[24] - 
       (40*t[25])/3 + (28*t[26])/3 + (4*t[27])/3 - 16*t[33] - 20*t[36] + 
       6*t[38] + (64*t[39])/3 - 24*t[40] - 2*t[45] + 2*t[46] + 2*t[47] + 
       (55*t[48])/3 - (71*t[49])/6 - (89*t[50])/3 + (15*t[51])/4 - 
       (19*t[52])/3 - (25*t[53])/6 - (20*t[54])/3 + 2*t[55] + 4*t[59] - 
       (25*t[60])/3 + (86*t[61])/3 - (89*t[62])/6 + (197*t[63])/6 + 
       (46*t[64])/3 - (362*t[65])/9 + (212*t[66])/9 + 2*t[67] + 2*t[68] + 
       24*t[74] + 8*t[76] + 24*t[77] - 4*t[78] + 32*t[80] - 10*t[81] - 
       (122*t[82])/3 - 2*t[84] + (23*t[85])/3 - (23*t[87])/3 - (23*t[88])/6 + 
       (2*t[89])/3 - 2*t[90] + 4*t[92] - 4*t[94] + 8*t[95] + 48*t[98] + 
       72*t[100] - 24*t[101])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{0, 1}, 1 - v]*(-30*t[1] + 2*t[2] + 16*t[3] - 10*t[4] + 
       (58*t[5])/3 + (19*t[6])/6 - 12*t[7] - 26*t[8] - (202*t[9])/3 + 
       (22*t[10])/3 - (5*t[11])/2 + (167*t[12])/3 - (617*t[13])/9 - 
       (500*t[14])/9 + (146*t[15])/9 + 4*t[16] + 8*t[24] - (4*t[25])/3 + 
       (52*t[26])/3 - (68*t[27])/3 - 12*t[36] - 4*t[37] - 18*t[38] - 
       (104*t[39])/3 + 12*t[40] + 6*t[45] + 18*t[46] - 14*t[47] - 
       (193*t[48])/6 - (94*t[49])/3 + (311*t[50])/6 - (15*t[51])/2 - 
       (95*t[52])/6 + (82*t[53])/3 - (175*t[54])/6 + 2*t[55] - 2*t[59] - 
       (481*t[60])/3 - (145*t[61])/3 - (41*t[62])/6 - (199*t[63])/6 + 
       (161*t[64])/6 + (58*t[65])/9 + (2204*t[66])/9 - 4*t[67] - 4*t[68] + 
       12*t[74] + 16*t[76] - 12*t[77] - 116*t[78] - 50*t[81] + 
       (106*t[82])/3 - 12*t[84] + (107*t[85])/3 - 16*t[86] + (145*t[87])/3 + 
       (145*t[88])/6 - (101*t[89])/6 - 4*t[92] + 4*t[94] + 8*t[95] + 
       48*t[98] + 72*t[100] - 24*t[101])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - u]*(-2*t[1] + 27*t[3] + (25*t[4])/2 - (7*t[5])/4 - 
       (71*t[6])/2 - 48*t[7] - 64*t[8] - (121*t[9])/4 - (309*t[10])/4 + 
       (19*t[11])/2 + (35*t[12])/2 - (149*t[13])/18 - (325*t[14])/8 - 
       (227*t[15])/8 + 2*t[16] - 2*t[25] + 10*t[26] + 2*t[27] + 2*t[33] + 
       4*t[36] - 4*t[37] - 4*t[38] + 8*t[39] - 4*t[40] - 4*t[45] + 9*t[46] + 
       8*t[47] - (35*t[48])/2 + (17*t[49])/4 - (27*t[50])/2 - (131*t[51])/8 - 
       (13*t[52])/2 - (97*t[53])/4 - 3*t[54] + 4*t[59] - (65*t[60])/2 - 
       60*t[61] + (231*t[62])/4 + (261*t[63])/4 + 44*t[64] - (202*t[65])/3 + 
       (76*t[66])/3 + 32*t[76] + 4*t[77] - 48*t[78] + 16*t[80] + 5*t[81] - 
       17*t[82] - 26*t[84] + (29*t[85])/2 + 8*t[86] + (27*t[87])/2 + 
       (27*t[88])/4 - 74*t[89] - 2*t[90] + 2*t[92] - 2*t[94])*\[Zeta][3]^2 + 
     HPL[{1}, 1 - v]*(2*t[1] - 27*t[3] - (25*t[4])/2 + (7*t[5])/4 + 
       (71*t[6])/2 + 48*t[7] + 64*t[8] + (121*t[9])/4 + (309*t[10])/4 - 
       (19*t[11])/2 - (35*t[12])/2 + (149*t[13])/18 + (325*t[14])/8 + 
       (227*t[15])/8 - 2*t[16] + 2*t[25] - 10*t[26] - 2*t[27] - 2*t[33] - 
       4*t[36] + 4*t[37] + 4*t[38] - 8*t[39] + 4*t[40] + 4*t[45] - 9*t[46] - 
       8*t[47] + (35*t[48])/2 - (17*t[49])/4 + (27*t[50])/2 + (131*t[51])/8 + 
       (13*t[52])/2 + (97*t[53])/4 + 3*t[54] - 4*t[59] + (65*t[60])/2 + 
       60*t[61] - (231*t[62])/4 - (261*t[63])/4 - 44*t[64] + (202*t[65])/3 - 
       (76*t[66])/3 - 32*t[76] - 4*t[77] + 48*t[78] - 16*t[80] - 5*t[81] + 
       17*t[82] + 26*t[84] - (29*t[85])/2 - 8*t[86] - (27*t[87])/2 - 
       (27*t[88])/4 + 74*t[89] + 2*t[90] - 2*t[92] + 2*t[94])*\[Zeta][3]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*((-93*t[1])/2 + 3*t[2] - (11*t[3])/2 + 
       (149*t[4])/4 - (37*t[5])/8 + (53*t[6])/8 - (7*t[7])/2 + 9*t[8] + 
       (45*t[9])/8 - 76*t[10] + (793*t[11])/8 + (1761*t[12])/8 + 
       (2929*t[13])/36 - (1359*t[14])/16 + (1403*t[15])/48 - 8*t[19] + 
       61*t[26] + 2*t[27] - 4*t[31] + t[36] - t[37] - 48*t[38] + 2*t[39] - 
       2*t[40] + t[45] + 60*t[46] - 2*t[47] + (25*t[48])/8 - (115*t[49])/4 + 
       (9*t[50])/8 - (329*t[51])/16 + (7*t[52])/8 + (281*t[53])/4 - 
       (279*t[54])/8 + 35*t[59] + (251*t[60])/4 - 170*t[61] + (205*t[62])/4 - 
       (605*t[63])/2 + (91*t[64])/4 + (363*t[65])/4 - (195*t[66])/4 - t[67] - 
       2*t[68] + 16*t[69] + 2*t[70] + 6*t[71] - 8*t[72] + 120*t[73] - 
       3*t[74] + 80*t[75] - 4*t[76] + t[77] + 6*t[78] - 4*t[79] - 2*t[80] - 
       (3*t[81])/2 + t[82]/2 - 318*t[83] + (161*t[84])/4 + (85*t[85])/2 - 
       14*t[86] - 95*t[87] - (95*t[88])/2 + (829*t[89])/8 - t[90] - 2*t[93] - 
       2*t[95] - 2*t[96] - t[97] - 24*t[98] + 36*t[99] - 44*t[100])*
      \[Zeta][5] + HPL[{1}, 1 - u]^2*(t[1]/4 + (3*t[2])/4 + (7*t[3])/4 - 
       (423*t[4])/8 + (17*t[5])/16 + (5*t[6])/16 + t[7]/2 - (7*t[8])/2 - 
       (21*t[9])/16 + (55*t[10])/8 - (663*t[11])/16 - (283*t[12])/16 - 
       (2695*t[13])/72 + (1951*t[14])/96 - (391*t[15])/96 + t[16] + 4*t[19] - 
       t[25] + t[26]/2 - t[27] + 2*t[31] + (3*t[36])/2 + t[37]/2 + t[38]/2 - 
       t[39] - t[45]/2 + t[47] - (11*t[48])/16 - (29*t[49])/4 + 
       (37*t[50])/16 - (37*t[51])/32 - (21*t[52])/16 + 10*t[53] + 
       (349*t[54])/16 - (19*t[59])/4 - (809*t[60])/8 + (107*t[61])/2 - 
       (31*t[62])/2 + (905*t[63])/8 + (59*t[64])/2 + (53*t[65])/8 + 
       (845*t[66])/24 + t[68]/2 - 8*t[69] - t[70] + t[71] + 4*t[72] - 
       60*t[73] + t[74]/2 - 40*t[75] + 2*t[76] - t[77]/2 - 3*t[78] + 
       2*t[79] + t[80] + t[81]/4 + t[82]/4 + 159*t[83] - (157*t[84])/8 - 
       (43*t[85])/2 + 7*t[86] + (309*t[87])/4 + (241*t[88])/8 - 
       (387*t[89])/16 + t[93] + t[95] + t[96] - t[97]/2 + 12*t[98] - 
       18*t[99] + 22*t[100])*\[Zeta][5] + HPL[{1}, 1 - v]^2*
      ((91*t[1])/4 + (9*t[3])/4 - (393*t[4])/8 - (11*t[5])/16 - 
       (13*t[6])/16 + 8*t[7] - (35*t[8])/4 + (19*t[9])/16 + (155*t[10])/4 - 
       (1109*t[11])/16 - (1693*t[12])/16 - (3793*t[13])/72 + 
       (1947*t[14])/32 - (1555*t[15])/96 + 4*t[19] - (61*t[26])/2 - t[27] + 
       2*t[31] - t[36]/2 + t[37]/2 + (47*t[38])/2 - t[39] + t[40] - t[45]/2 - 
       30*t[46] + t[47] - (5*t[48])/16 + (277*t[49])/8 + (27*t[50])/16 + 
       (69*t[51])/32 - (11*t[52])/16 - (223*t[53])/8 + (347*t[54])/16 - 
       (91*t[59])/4 - (877*t[60])/8 + (503*t[61])/4 - (185*t[62])/4 + 
       (1747*t[63])/8 - (141*t[64])/8 - (409*t[65])/24 + (15*t[66])/8 + 
       t[67]/2 + t[68] - 8*t[69] - t[70] - 3*t[71] + 4*t[72] - 60*t[73] + 
       (3*t[74])/2 - 40*t[75] + 2*t[76] - (3*t[77])/2 - 3*t[78] + 2*t[79] + 
       t[80] + (5*t[81])/4 + t[82]/4 + 159*t[83] - (161*t[84])/8 - 22*t[85] + 
       7*t[86] + (307*t[87])/4 + (239*t[88])/8 - (929*t[89])/16 + t[90]/2 + 
       t[93] + t[95] + t[96] - t[97]/2 + 12*t[98] - 18*t[99] + 22*t[100])*
      \[Zeta][5] + HPL[{0, 1}, 1 - v]*(69*t[1] - 19*t[2] - 58*t[3] + 
       46*t[4] - (93*t[5])/4 + (143*t[6])/2 + 66*t[7] + 175*t[8] + 
       (525*t[9])/4 + (253*t[10])/2 + (45*t[11])/2 - (645*t[12])/4 + 
       (1558*t[13])/9 + (2203*t[14])/12 + (175*t[15])/24 - 2*t[16] + 
       16*t[23] + 2*t[25] - 62*t[26] + 2*t[27] - 4*t[36] + 51*t[38] + 
       62*t[39] - 38*t[40] - 8*t[41] + 8*t[42] - t[45] - 59*t[46] + t[47] + 
       (161*t[48])/2 + (147*t[49])/2 - (159*t[50])/2 + (21*t[51])/2 + 
       (111*t[52])/2 - (163*t[53])/2 + (157*t[54])/2 - t[55] + t[59] + 
       380*t[60] + 221*t[61] - (451*t[62])/2 - (409*t[63])/2 - 
       (493*t[64])/2 + (271*t[65])/3 - (1346*t[66])/3 + 2*t[67] + 2*t[68] + 
       4*t[74] + 124*t[76] + 38*t[77] + 76*t[78] + 8*t[80] + 120*t[81] - 
       122*t[82] + 120*t[84] - 54*t[85] - 222*t[87] - 111*t[88] + 
       (237*t[89])/2 + 2*t[92] - 2*t[94] + 24*t[98] - 24*t[99] - 12*t[100] - 
       12*t[101])*\[Zeta][5] + HPL[{0, 1}, 1 - u]*(-26*t[1] + (35*t[2])/2 + 
       61*t[3] + (93*t[4])/2 + (107*t[5])/4 - (507*t[6])/4 - 51*t[7] - 
       (371*t[8])/2 - (141*t[9])/4 - (185*t[10])/4 + (411*t[11])/4 + 
       (209*t[12])/2 + (1685*t[13])/18 - (4775*t[14])/24 - (445*t[15])/24 - 
       16*t[23] - 2*t[27] - 4*t[33] - 7*t[38] - 58*t[39] + 36*t[40] + 
       8*t[41] - 8*t[42] - t[45] - t[46] + t[47] - (331*t[48])/4 - 
       (9*t[49])/4 + (301*t[50])/4 + (11*t[51])/8 - (205*t[52])/4 + 
       (73*t[53])/4 - (123*t[54])/4 - t[55] - 19*t[59] - 144*t[60] - 
       (777*t[61])/2 + (303*t[62])/2 + (171*t[63])/2 + (401*t[64])/4 - 
       (35*t[65])/3 + (622*t[66])/3 - t[67] - t[68] - 8*t[71] - 2*t[74] + 
       4*t[76] - 36*t[77] - 4*t[78] + 8*t[80] + 120*t[82] - t[84] + 2*t[87] + 
       t[88] - (345*t[89])/4 + t[90] - 2*t[92] + 2*t[94] + 24*t[98] - 
       24*t[99] - 12*t[100] - 12*t[101])*\[Zeta][5]
 
TuvwCoproductEntriet[w] = HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - u]*
      (-20*t[1] - 80*t[6] + 20*t[13]) + HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - v]*
      (80*t[2] - 80*t[3] - 20*t[15] - 20*t[59]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-7*t[6])/2 + (5*t[13])/24 - (3*t[42])/4 - (7*t[59])/4) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - u]*((-5*t[6])/12 + t[13]/36 - 
       (5*t[59])/12) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - v]*
      ((5*t[2])/12 - t[15]/36 - (5*t[59])/12) - 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*t[59])/120 - 
     (HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - u]*t[59])/120 - 
     (HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - v]*t[59])/120 - 
     (HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - u]*t[59])/24 - 
     (HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - v]*t[59])/24 + 
     8*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*t[59] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*(-6*t[1] - 12*t[6] + 
       (16*t[13])/3 - 6*t[42] + 2*t[59]) + B2[w, u, v]*HPL[{1}, 1 - v]*
      t[60] - B1[v, u, w]*HPL[{1}, 1 - v]*t[61] + B4[w, u, v]*HPL[{1}, 1 - v]*
      t[63] + (B2[v, u, w]*HPL[{1}, 1 - v]*t[65])/3 - 
     (2*B2[v, w, u]*HPL[{1}, 1 - v]*t[65])/3 + 
     (2*B3[u, v, w]*HPL[{1}, 1 - v]*t[65])/3 - 
     (16*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u]*t[65])/
      3 + 10*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*t[65] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*(-8*t[1] - (8*t[2])/3 + 
       (8*t[4])/3 - (8*t[5])/3 - (116*t[6])/3 - (8*t[7])/3 + (8*t[8])/3 - 
       (8*t[10])/3 + (8*t[12])/3 + 8*t[13] - (16*t[14])/9 - (8*t[15])/9 + 
       (16*t[42])/3 - (8*t[43])/3 + (16*t[62])/3 - (16*t[63])/3 + 
       (16*t[64])/3 + (32*t[65])/9) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*(-16*t[1] + (50*t[13])/3 - 60*t[66]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*(-16*t[59] - 10*t[66]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*(-2*t[59] - (8*t[66])/3) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - v]*(t[59]/12 - (25*t[66])/18) + 
     B11[v, w, u]*HPL[{1}, 1 - v]*(-t[62] + t[63] - t[65] - (4*t[66])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w]*
      (t[59]/3 - (2*t[66])/9) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*
      HPL[{1}, 1 - w]*(t[60]/8 + t[61]/8 - t[65]/24 - t[66]/9) + 
     B2[u, v, w]*HPL[{1}, 1 - v]*t[66] - B2[u, w, v]*HPL[{1}, 1 - v]*t[66] + 
     (2*B3[v, w, u]*HPL[{1}, 1 - v]*t[66])/3 - 
     (2*B3[w, u, v]*HPL[{1}, 1 - v]*t[66])/3 + 
     (HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - v]*t[66])/18 + 
     (16*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*t[66])/
      3 + 8*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*t[66] + 
     10*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*t[66] + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - v]*(t[6]/2 - (2*t[13])/3 - 
       2*t[59] + (8*t[66])/3) + HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u]*
      ((7*t[1])/2 + (37*t[2])/2 + 30*t[3] + (147*t[4])/4 - (19*t[5])/4 - 
       (151*t[6])/8 + (29*t[7])/4 - (181*t[8])/4 - (59*t[9])/2 - 
       (347*t[10])/8 + (131*t[11])/8 - (89*t[12])/8 - (14*t[13])/3 - 
       (1795*t[14])/48 - (253*t[15])/24 - 3*t[17] + 9*t[18] - 4*t[19] + 
       2*t[21] - t[23] + 5*t[24] - 6*t[31] - (13*t[41])/2 + (13*t[42])/2 - 
       (21*t[43])/4 - (3*t[45])/2 - (3*t[46])/2 + 10*t[47] + (33*t[48])/8 + 
       (33*t[49])/8 + (33*t[50])/8 - (15*t[51])/16 - (33*t[52])/8 - 
       (33*t[53])/8 - (35*t[54])/8 - 4*t[61] + 8*t[64] + (16*t[65])/3 + 
       4*t[77]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*
      ((3*t[1])/2 + 24*t[2] + (21*t[3])/4 + (161*t[4])/4 - 11*t[5] - 
       (175*t[6])/8 + 35*t[7] + (13*t[8])/2 + (23*t[9])/4 + (211*t[10])/8 + 
       (391*t[11])/8 + (7*t[12])/8 - (26*t[13])/3 - (569*t[14])/48 + 
       (53*t[15])/24 - 4*t[17] + 9*t[18] - 13*t[19] + t[21] - 11*t[23] + 
       5*t[24] - 25*t[31] - (7*t[41])/2 + (7*t[42])/2 - (13*t[43])/2 - 
       17*t[45] - 2*t[46] + 32*t[47] + (151*t[48])/8 + (73*t[49])/8 + 
       (151*t[50])/8 - (49*t[51])/16 - (151*t[52])/8 - (73*t[53])/8 - 
       (69*t[54])/8 - 8*t[61] + 24*t[64] + (32*t[65])/3 + 4*t[77]) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u]*((37*t[1])/2 + 54*t[2] + 
       (349*t[3])/4 + (269*t[4])/2 - (145*t[5])/4 - (211*t[6])/4 + 
       (85*t[7])/2 - 132*t[8] - 54*t[9] - (533*t[10])/4 + (237*t[11])/4 - 
       (123*t[12])/4 - (39*t[13])/4 - (1213*t[14])/12 - (929*t[15])/24 - 
       11*t[17] + (51*t[18])/2 - 12*t[19] + 3*t[21] - (9*t[23])/2 + 
       14*t[24] - 21*t[31] - 26*t[41] + 26*t[42] - 19*t[43] - 36*t[45] - 
       (11*t[46])/2 + 82*t[47] + 16*t[48] + (53*t[49])/4 + 16*t[50] - 
       (5*t[51])/2 - 16*t[52] - (53*t[53])/4 - 12*t[54] - 12*t[61] + 
       24*t[64] + 16*t[65] + 12*t[77]) + HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u]*
      (35*t[1] + 117*t[2] + 182*t[3] + 313*t[4] - 108*t[5] - 124*t[6] + 
       (269*t[7])/2 - (485*t[8])/2 - (119*t[9])/2 - (511*t[10])/2 + 
       127*t[11] - 39*t[12] - (28*t[13])/3 - (385*t[14])/2 - 
       (1123*t[15])/12 - 32*t[17] + 52*t[18] - 24*t[19] + 8*t[21] - 8*t[23] + 
       40*t[24] - 40*t[31] - 51*t[41] + 51*t[42] - (97*t[43])/2 - 111*t[45] - 
       16*t[46] + 224*t[47] + 31*t[48] + 33*t[49] + 31*t[50] - (9*t[51])/2 - 
       31*t[52] - 33*t[53] - 29*t[54] - 24*t[61] + 48*t[64] + 32*t[65] + 
       24*t[77]) + B9[w, u, v]*HPL[{1}, 1 - v]*((-5*t[62])/2 - 9*t[63] + 
       (3*t[64])/2 - t[66]/3 - 2*t[74] + t[79] + 3*t[86]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (16*t[62] + 44*t[63] + 14*t[64] - 16*t[65] + (32*t[66])/3 + 4*t[67] - 
       24*t[74] - 12*t[79] + 28*t[86]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*((76*t[2])/3 - (56*t[3])/3 + 
       (8*t[13])/9 - 8*t[15] - 8*t[59] + (8*t[62])/3 - (8*t[63])/3 + 
       (8*t[64])/3 + (16*t[65])/9 - (32*t[66])/9 - (40*t[88])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - v]*((5*t[3])/4 + t[13]/54 - 
       (983*t[15])/648 + t[64]/18 + t[65] - (2*t[66])/27 - (11*t[88])/36) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-25*t[2])/6 + (13*t[3])/12 + (133*t[15])/216 + (8*t[59])/3 + 
       t[62]/6 - t[63]/6 - (8*t[65])/9 + (7*t[88])/12) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((17*t[2])/4 - (9*t[3])/4 - (5*t[15])/24 - (7*t[59])/4 + (3*t[88])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((11*t[2])/18 - (7*t[3])/3 + t[13]/18 + (5*t[15])/18 - (5*t[59])/18 + 
       t[62]/6 - t[63]/6 + t[64]/6 - (11*t[65])/9 - (2*t[66])/9 + 
       (10*t[88])/3) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*
      (24*t[2] - 32*t[3] - (16*t[15])/3 - 4*t[59] + 12*t[88]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - v]*(265*t[2] - 114*t[3] + 66*t[4] + 
       163*t[5] - 107*t[6] - 120*t[7] - 366*t[8] - 87*t[9] - 45*t[10] + 
       245*t[11] + 18*t[12] + 126*t[13] + (135*t[14])/2 - (445*t[15])/6 + 
       24*t[18] + 80*t[20] - 48*t[22] - 124*t[29] + 14*t[32] - 54*t[33] + 
       96*t[34] + 7*t[44] - 107*t[48] - 9*t[49] - 73*t[50] + (9*t[51])/2 + 
       73*t[52] + 9*t[53] - 137*t[54] - 71*t[59] + 490*t[60] + 34*t[61] - 
       (267*t[62])/2 - (605*t[63])/2 + (53*t[64])/2 - (800*t[65])/3 - 
       (1666*t[66])/3 + 16*t[67] - 40*t[69] - 8*t[70] + 8*t[71] + 32*t[74] + 
       16*t[81] - 16*t[82] + 42*t[84] + 30*t[85] - 146*t[87] - 73*t[88] - 
       62*t[89]) + HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - v]*
      ((509*t[2])/4 - (179*t[3])/4 + (53*t[4])/2 + (347*t[5])/4 - 
       (125*t[6])/2 - (171*t[7])/4 - (857*t[8])/4 - 48*t[9] - (99*t[10])/4 + 
       (485*t[11])/4 + 10*t[12] + (785*t[13])/12 + (121*t[14])/4 - 
       (937*t[15])/24 + 12*t[18] + 42*t[20] - 24*t[22] - (123*t[29])/2 + 
       7*t[32] - (35*t[33])/2 + (89*t[34])/2 + 13*t[44] - (125*t[48])/2 - 
       5*t[49] - (55*t[50])/2 + (5*t[51])/2 + (55*t[52])/2 + 5*t[53] - 
       (153*t[54])/2 - (73*t[59])/2 + 237*t[60] + (9*t[61])/2 - 
       (389*t[62])/4 - (597*t[63])/4 + (29*t[64])/2 - (637*t[65])/4 - 
       (3683*t[66])/12 + (11*t[67])/2 - 21*t[69] - 3*t[70] + 3*t[71] + 
       11*t[74] + (11*t[81])/2 - (11*t[82])/2 + (73*t[84])/4 + 14*t[85] - 
       (137*t[87])/2 - (137*t[88])/4 - 45*t[89]) + 
     HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - v]*((131*t[2])/4 - 12*t[3] + 
       (33*t[4])/4 + (223*t[5])/8 - (47*t[6])/2 - 11*t[7] - 87*t[8] - 
       (101*t[9])/8 - (65*t[10])/8 + 42*t[11] + (15*t[12])/4 + 24*t[13] + 
       (307*t[14])/48 - (541*t[15])/48 + 4*t[18] + 12*t[20] - 8*t[22] - 
       21*t[29] - t[32] - 2*t[33] + 14*t[34] + (15*t[44])/2 - (47*t[48])/2 - 
       (15*t[49])/8 - (13*t[50])/2 + (15*t[51])/16 + (13*t[52])/2 + 
       (15*t[53])/8 - (111*t[54])/4 - (19*t[59])/2 + (297*t[60])/4 - 
       t[61]/4 - (291*t[62])/8 - (397*t[63])/8 - (49*t[64])/8 - 
       (323*t[65])/6 - (341*t[66])/3 + (3*t[67])/2 - 6*t[69] - 2*t[70] + 
       2*t[71] + 3*t[74] + (3*t[81])/2 - (3*t[82])/2 + 6*t[84] + 
       (17*t[85])/4 - (81*t[87])/4 - (81*t[88])/8 - (141*t[89])/8) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w]*(6*t[2] - 2*t[3] - 
       22*t[5] - 8*t[6] + 34*t[7] + 2*t[8] + 20*t[9] - 18*t[10] + 10*t[11] + 
       16*t[12] - 5*t[13] + 16*t[14] + (43*t[15])/3 - 4*t[18] + 16*t[35] - 
       10*t[48] + 10*t[50] - 10*t[52] - 10*t[54] + 16*t[60] - 24*t[61] + 
       4*t[62] + 28*t[63] - 56*t[64] + (40*t[66])/3 + 4*t[67] - 8*t[70] + 
       4*t[71] - 24*t[74] - 24*t[79] + 4*t[83] + 56*t[86] - 16*t[87] - 
       8*t[88] - 12*t[89]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (18*t[2] - 2*t[3] - 22*t[5] - 8*t[6] + 34*t[7] + 2*t[8] + 20*t[9] - 
       18*t[10] + 10*t[11] + 16*t[12] - (35*t[13])/3 + 8*t[14] + 
       (23*t[15])/3 + 8*t[18] + 16*t[35] - 10*t[48] + 10*t[50] - 10*t[52] - 
       10*t[54] + 16*t[60] - 24*t[61] + 4*t[62] + 28*t[63] - 56*t[64] + 
       8*t[65] + (136*t[66])/3 + 4*t[67] - 8*t[70] + 4*t[71] - 24*t[74] - 
       24*t[79] + 4*t[83] + 56*t[86] - 16*t[87] - 8*t[88] - 12*t[89]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (3*t[2] - 27*t[3] + (9*t[4])/4 - 10*t[5] - (29*t[6])/2 + (73*t[7])/2 - 
       46*t[8] + (93*t[9])/2 + (3*t[10])/8 + (71*t[11])/4 - (29*t[12])/8 - 
       (7*t[13])/4 + (1553*t[14])/48 + (83*t[15])/24 + t[18] - 3*t[29] - 
       9*t[30] + t[32] - t[33] - t[35] - 10*t[44] - (29*t[48])/2 + 
       (9*t[49])/8 + (31*t[50])/2 - (9*t[51])/16 - (31*t[52])/2 - 
       (9*t[53])/8 - (71*t[54])/4 - t[59] + (205*t[60])/4 + (13*t[61])/4 - 
       (43*t[62])/8 - (53*t[63])/8 - (715*t[64])/8 - (79*t[65])/3 - 
       (41*t[66])/2 + t[67]/2 + 6*t[69] - 4*t[70] + (7*t[71])/2 - 3*t[73] + 
       5*t[74] - 9*t[75] + (7*t[79])/2 + (3*t[81])/2 - (3*t[82])/2 + 
       11*t[83] + 9*t[84] + (45*t[85])/4 - (31*t[86])/2 - (129*t[87])/4 - 
       (133*t[88])/8 - (51*t[89])/8) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Qep[v, w, u]*((-32*t[60])/3 - 32*t[61] - 8*t[62] - (88*t[63])/3 + 
       (88*t[64])/3 + 32*t[65] - (272*t[66])/9 + (32*t[74])/3 + 
       (80*t[79])/3 + (80*t[86])/3 - (16*t[89])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-23*t[2])/4 + 8*t[3] + (17*t[4])/4 + 14*t[5] + 13*t[6] - 
       (17*t[7])/4 + (15*t[8])/4 - (19*t[9])/4 - (147*t[10])/8 - 
       (65*t[11])/4 - (103*t[12])/8 - (47*t[13])/18 - (587*t[14])/48 + 
       (35*t[15])/4 - (11*t[18])/6 - t[35] - 3*t[41] + t[42] + (7*t[43])/2 - 
       23*t[45] + 18*t[47] - t[48]/2 + (21*t[49])/8 + t[50]/2 - 
       (21*t[51])/16 - t[52]/2 - (21*t[53])/8 - (23*t[54])/4 + 2*t[59] - 
       (11*t[60])/4 - (127*t[61])/4 + (181*t[62])/8 - (49*t[63])/8 + 
       (59*t[64])/8 - (70*t[65])/3 + (89*t[66])/2 + t[67]/2 + 6*t[69] - 
       4*t[70] + (7*t[71])/2 + 2*t[74] - 7*t[79] + 52*t[80] + (3*t[81])/2 - 
       (3*t[82])/2 + 2*t[83] + (21*t[85])/4 + 23*t[86] - (17*t[87])/4 - 
       (17*t[88])/8 - (35*t[89])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Ot[u, v, w]*((-17*t[60])/3 + 8*t[61] - (3*t[62])/2 - (125*t[63])/6 + 
       (13*t[64])/6 - (137*t[65])/9 - (70*t[66])/9 + (4*t[72])/3 + t[73] - 
       5*t[75] - 3*t[78] - (2*t[81])/3 - (2*t[82])/3 + (28*t[83])/3 - 
       (10*t[84])/3 + (2*t[85])/3 + (19*t[87])/3 + (19*t[88])/6 - 
       (23*t[89])/6) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*
      (-51*t[1] + (61*t[3])/4 - 112*t[4] - (25*t[5])/8 - (171*t[6])/8 - 
       (61*t[7])/4 - (183*t[8])/4 - (305*t[9])/8 - (21*t[10])/4 - 
       (209*t[11])/8 + (1281*t[12])/8 + (25*t[13])/8 - (92*t[14])/3 + 
       (21*t[15])/16 + 2*t[16] - 5*t[25] + 17*t[26] + 4*t[36] - 8*t[37] - 
       22*t[38] + 2*t[46] + (37*t[48])/8 + 3*t[49] + (73*t[50])/8 - 
       (29*t[51])/4 - (73*t[52])/8 + 17*t[53] - (73*t[54])/8 + 20*t[59] - 
       (911*t[60])/4 - (231*t[61])/4 + (457*t[62])/8 + (499*t[63])/8 + 
       (501*t[64])/8 + (1397*t[65])/12 + (691*t[66])/12 - 2*t[67] + 
       25*t[69] + t[70] - t[71] - 4*t[74] - 2*t[81] + 2*t[82] - 
       (61*t[84])/4 - (55*t[85])/4 + (305*t[87])/4 + (305*t[88])/8 - 
       (29*t[89])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Nt[u, v, w]*
      ((-8*t[60])/3 + 3*t[61] - (13*t[63])/3 + (7*t[64])/6 - (97*t[65])/18 - 
       (35*t[66])/18 + t[72]/3 - 2*t[75] - t[78] - (2*t[81])/3 + t[82]/3 + 
       (7*t[83])/3 - (5*t[84])/6 - t[85]/3 + (7*t[87])/3 + (7*t[88])/6 - 
       (4*t[89])/3) + B5[u, v, w]*HPL[{1}, 1 - v]*(-t[60]/2 + t[61]/2 + 
       3*t[62] + (3*t[64])/4 - (11*t[66])/6 + t[72] - t[77]/2 - 2*t[86] - 
       (5*t[89])/4) + B10[u, v, w]*HPL[{1}, 1 - v]*(2*t[61] + t[62] - 
       6*t[63] - t[64] - t[89]) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-17*t[2])/12 - t[3]/4 - (3*t[5])/4 - t[6]/2 + (7*t[7])/4 + 
       (3*t[8])/4 + t[9] - (3*t[10])/4 + (3*t[11])/4 + t[12]/2 + 
       (5*t[13])/24 + (7*t[14])/18 + (71*t[15])/72 - (7*t[18])/6 + t[35] - 
       (3*t[48])/4 + (3*t[50])/4 - (3*t[52])/4 - (3*t[54])/4 + (2*t[59])/3 + 
       t[60] - (2*t[61])/3 + (4*t[62])/3 + 2*t[63] - 2*t[64] - (4*t[65])/3 - 
       (7*t[66])/9 + t[67]/6 + (4*t[69])/3 - t[70] + (5*t[71])/6 - t[74] - 
       t[79] + t[83]/2 + t[86] - t[87] - t[88]/2 - t[89]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - v]*((-23*t[2])/12 - t[3]/4 - 
       (3*t[5])/4 - t[6]/2 + (7*t[7])/4 + (3*t[8])/4 + t[9] - (3*t[10])/4 + 
       (3*t[11])/4 + t[12]/2 - (5*t[13])/72 + t[14]/18 + (17*t[15])/24 + 
       t[35] - (3*t[48])/4 + (3*t[50])/4 - (3*t[52])/4 - (3*t[54])/4 + 
       (2*t[59])/3 + t[60] - (2*t[61])/3 + (4*t[62])/3 + 2*t[63] - 2*t[64] - 
       t[65] + t[66]/3 + t[67]/6 + (4*t[69])/3 - t[70] + (5*t[71])/6 - 
       t[74] - t[79] + t[83]/2 + t[86] - t[87] - t[88]/2 - t[89]) + 
     B5[u, w, v]*HPL[{1}, 1 - v]*(t[60] - (9*t[62])/4 - (7*t[63])/4 - 
       t[64]/2 - (11*t[65])/6 + (2*t[66])/3 + t[77]/2 - t[84]/2 - t[85]/2 + 
       2*t[86] - t[87]/2 - t[88]/4 - t[89]) + B8[u, v, w]*HPL[{1}, 1 - v]*
      ((5*t[62])/2 + (3*t[63])/2 - (9*t[64])/4 + (7*t[65])/4 + 
       (35*t[66])/12 + t[75] + t[78] + t[81]/2 + t[82]/2 - t[83] + 
       (5*t[84])/4 - t[85]/2 - t[87] - t[88]/2 - (3*t[89])/4) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[w, u, v]*
      (-t[60] - 3*t[61] - 2*t[62] - t[63]/2 + (7*t[64])/2 + t[65] - 
       (7*t[66])/2 + 2*t[79] + 4*t[86] - t[89]/2) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-163*t[2])/4 + (163*t[3])/4 - (23*t[4])/2 - (65*t[5])/4 + 7*t[6] + 
       (73*t[7])/4 + (15*t[8])/4 + 5*t[9] + (9*t[10])/4 - (97*t[11])/4 - 
       (227*t[13])/12 - (193*t[14])/12 + (125*t[15])/24 + 3*t[18] + 
       14*t[20] - 6*t[22] + 10*t[29] - 5*t[32] + 11*t[33] - 8*t[34] + 
       (11*t[44])/2 + 7*t[48] + 2*t[49] + 8*t[50] - t[51] - 8*t[52] - 
       2*t[53] + 13*t[54] + 8*t[59] - 58*t[60] + (33*t[61])/2 - 11*t[62] + 
       (61*t[63])/2 - (69*t[64])/4 + (341*t[65])/12 + (637*t[66])/12 - 
       (5*t[67])/2 - 7*t[69] + t[70] - t[71] - 5*t[74] - (5*t[81])/2 + 
       (5*t[82])/2 - (31*t[84])/4 - 6*t[85] + (35*t[87])/2 + (37*t[88])/4 - 
       t[89]/2) + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^3*
      ((9*t[60])/32 - (11*t[61])/24 + (39*t[62])/128 - (97*t[63])/384 - 
       (133*t[64])/48 + (1087*t[65])/576 + (1001*t[66])/576 + t[74]/4 + 
       t[75]/4 + t[78]/4 - (5*t[79])/32 + (3*t[81])/16 + t[82]/16 - 
       (7*t[83])/8 + (17*t[84])/48 - (19*t[85])/96 + (21*t[86])/32 - 
       (31*t[87])/32 - (31*t[88])/64 - (61*t[89])/192) + 
     B7[u, v, w]*HPL[{1}, 1 - v]*(t[60]/4 + t[61]/4 + (3*t[62])/8 + t[63]/8 + 
       t[64]/8 - (5*t[65])/12 + (7*t[66])/12 + t[83] + t[84]/4 + 
       (3*t[85])/4 - t[87]/4 - t[88]/8 - t[89]/8) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      (t[60]/8 + (3*t[61])/8 + (13*t[62])/32 - (7*t[63])/32 - (17*t[64])/32 + 
       t[65]/8 + (25*t[66])/48 + t[74]/8 - (3*t[79])/16 - (11*t[86])/16 + 
       t[89]/16) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
      ((-5*t[4])/8 - (5*t[6])/12 - (5*t[8])/4 - (83*t[13])/144 - 
       (5*t[14])/36 + t[60]/4 + 2*t[61] + (59*t[62])/48 - (7*t[63])/16 - 
       (37*t[64])/16 + (29*t[65])/36 + (21*t[66])/8 + t[74]/4 - (3*t[79])/8 - 
       (11*t[86])/8 + t[89]/8) + B9[u, v, w]*HPL[{1}, 1 - v]*
      ((-3*t[60])/2 + t[61]/2 - t[62]/4 + (13*t[63])/4 - (5*t[64])/4 - 
       (5*t[65])/3 + t[81] + t[82] - 2*t[83] - (3*t[85])/2 + (3*t[87])/2 + 
       (3*t[88])/4 + t[89]/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[v, w, u]*
      (-t[60]/3 - t[61]/2 + t[62] + (25*t[63])/3 + t[64]/3 + (79*t[65])/18 + 
       (53*t[66])/18 + t[69] - t[72]/3 - t[73] + t[75] + t[78] - t[81]/3 + 
       (2*t[82])/3 - (7*t[83])/3 + t[84]/3 - (2*t[85])/3 - t[86] - t[87]/3 - 
       t[88]/6 + t[89]/3) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      ((-7*t[60])/2 + (14*t[61])/3 + (3*t[62])/8 + (23*t[63])/24 + 
       (161*t[64])/12 - (383*t[65])/36 - (373*t[66])/36 - t[74] - t[75] - 
       t[78] + t[79] - t[81] + 4*t[83] - (11*t[84])/6 + t[85]/3 - 4*t[86] + 
       6*t[87] + 3*t[88] + (5*t[89])/12) + B11[w, u, v]*HPL[{1}, 1 - v]*
      (-3*t[60] - t[61] + t[64] + (4*t[65])/3 + (4*t[66])/3 - 2*t[83] + 
       t[89]) + B9[v, w, u]*HPL[{1}, 1 - v]*(-t[61] + (3*t[62])/2 + 
       (3*t[63])/2 - 2*t[64] + t[66]/3 - t[79] - 2*t[83] - 3*t[86] + t[89]) + 
     HPL[{1}, 1 - v]*Phi6[u, v, w]^2*(t[60]/8 - (3*t[61])/8 - (33*t[62])/16 + 
       (21*t[63])/16 + (71*t[64])/16 - (7*t[65])/4 - (7*t[66])/6 - t[74]/2 - 
       t[75]/2 - t[78]/2 - t[81]/4 - t[82]/4 + (3*t[83])/2 - t[84]/2 + 
       t[85]/8 + (11*t[87])/8 + (11*t[88])/16 + (17*t[89])/16) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((15*t[60])/4 - (23*t[61])/2 - (165*t[62])/16 - (227*t[63])/16 + 
       (31*t[64])/8 + (221*t[65])/24 + (109*t[66])/8 + 3*t[79] - 
       (3*t[83])/2 + (5*t[84])/4 - (5*t[85])/4 + 15*t[86] - (15*t[87])/4 - 
       (15*t[88])/8 + (13*t[89])/8) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*((21*t[60])/2 + (3*t[61])/2 + (45*t[62])/2 + 
       (21*t[63])/2 - (93*t[64])/4 + (9*t[65])/2 - 20*t[66] + 6*t[74] + 
       3*t[81] - 3*t[82] + (21*t[85])/2 - 36*t[86] - (21*t[87])/2 - 
       (21*t[88])/4 + (9*t[89])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - v]*((-11*t[60])/3 + t[61] + (2*t[63])/3 + 10*t[64] + 
       (10*t[65])/9 + (11*t[66])/9 - 2*t[69] + (4*t[70])/3 - (4*t[71])/3 + 
       (2*t[79])/3 - (2*t[83])/3 - (2*t[86])/3 + (11*t[87])/3 + 
       (11*t[88])/6 + (5*t[89])/2) + HPL[{1}, 1 - v]^2*Qep[v, w, u]*
      ((16*t[60])/3 + 8*t[61] - 6*t[62] + (58*t[63])/3 - 28*t[64] + 
       12*t[65] + (100*t[66])/9 - (40*t[79])/3 - 8*t[86] + (8*t[89])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*(71*t[2] - (157*t[3])/4 + 
       (73*t[4])/4 + (63*t[5])/8 - 7*t[6] - (11*t[7])/4 - (165*t[8])/4 - 
       (43*t[9])/8 - (245*t[10])/8 + (217*t[11])/4 + (49*t[12])/4 + 
       (293*t[13])/12 + (875*t[14])/16 - (1465*t[15])/48 + 13*t[18] + 
       50*t[20] - 26*t[22] - 15*t[29] + 4*t[32] - 9*t[33] + 8*t[34] + 
       5*t[44] - 7*t[48] - (49*t[49])/8 - 8*t[50] + (49*t[51])/16 + 8*t[52] + 
       (49*t[53])/8 - (83*t[54])/4 - 20*t[59] + (655*t[60])/4 + 
       (199*t[61])/4 - (457*t[62])/8 - (499*t[63])/8 - (309*t[64])/8 - 
       (757*t[65])/12 - (947*t[66])/12 + 2*t[67] - 25*t[69] - t[70] + t[71] + 
       4*t[74] + 2*t[81] - 2*t[82] + (61*t[84])/4 + (55*t[85])/4 - 
       (241*t[87])/4 - (241*t[88])/8 + (29*t[89])/8) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*(19*t[1] - (61*t[3])/4 + 
       64*t[4] + (25*t[5])/8 + (171*t[6])/8 + (61*t[7])/4 + (183*t[8])/4 + 
       (305*t[9])/8 + (21*t[10])/4 + (209*t[11])/8 - (257*t[12])/8 + 
       (181*t[13])/24 + (92*t[14])/3 - (21*t[15])/16 - 2*t[16] + 5*t[25] - 
       17*t[26] - 4*t[36] + 8*t[37] + 22*t[38] - 2*t[46] - (37*t[48])/8 - 
       3*t[49] - (73*t[50])/8 + (21*t[51])/4 + (73*t[52])/8 - 17*t[53] + 
       (73*t[54])/8 - 4*t[59] + (399*t[60])/4 + (199*t[61])/4 - 
       (457*t[62])/8 - (499*t[63])/8 - (309*t[64])/8 - (245*t[65])/12 - 
       (947*t[66])/12 + 2*t[67] - 25*t[69] - t[70] + t[71] + 4*t[74] + 
       2*t[81] - 2*t[82] + (61*t[84])/4 + (55*t[85])/4 - (241*t[87])/4 - 
       (241*t[88])/8 + (29*t[89])/8) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*(2*t[1] + (3*t[2])/2 - (87*t[3])/4 - 
       33*t[4] + (43*t[5])/4 + (31*t[6])/4 - (31*t[7])/4 + (89*t[8])/4 + 
       (39*t[9])/4 + 18*t[10] + (105*t[11])/4 - (23*t[12])/4 + (82*t[13])/9 + 
       (287*t[14])/12 + (181*t[15])/12 + 5*t[17] + 2*t[18] + 5*t[19] - 
       t[21] - 4*t[23] - 6*t[24] - 7*t[31] + 11*t[41] - (23*t[42])/2 + 
       (25*t[43])/4 + (41*t[45])/2 + (5*t[46])/2 - 39*t[47] + 5*t[48] - 
       (23*t[49])/4 + 5*t[50] + t[51] - 5*t[52] + (23*t[53])/4 + 9*t[54] + 
       (5*t[59])/2 - 8*t[60] + 26*t[61] + t[62] + 3*t[63] + 23*t[64] + 
       32*t[65] - 36*t[66] - 16*t[69] - 4*t[80] + 8*t[84] - 8*t[85] - 
       4*t[86] + 8*t[87] + 4*t[88] + 4*t[89]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]^2*(-5*t[59] + (79*t[60])/4 + (31*t[61])/4 - 
       (19*t[62])/8 - (121*t[63])/8 - (45*t[64])/8 + (109*t[65])/4 + 
       (5*t[66])/4 + t[67] + 3*t[69] + t[70] - t[71] + 2*t[74] + t[81] - 
       t[82] + t[84]/4 + (9*t[85])/4 - (19*t[87])/4 - (19*t[88])/8 + 
       (81*t[89])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*(-16*t[60] + 24*t[61] + 12*t[62] + 
       16*t[63] + 70*t[64] - (56*t[65])/3 - (16*t[66])/3 + 8*t[70] - 
       8*t[71] + 12*t[79] - 4*t[83] - 28*t[86] + 16*t[87] + 8*t[88] + 
       12*t[89]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[w, u, v]*
      ((488*t[60])/9 - (232*t[61])/3 + (68*t[62])/3 + (1060*t[63])/9 - 
       (116*t[64])/9 + (2720*t[65])/27 + (2848*t[66])/27 - (64*t[69])/3 - 
       (64*t[72])/9 - (32*t[73])/3 + (160*t[75])/3 + (64*t[78])/3 + 
       (80*t[81])/9 - (16*t[82])/9 - (448*t[83])/9 + (160*t[84])/9 - 
       (104*t[85])/9 + (64*t[86])/3 - (376*t[87])/9 - (188*t[88])/9 + 
       (244*t[89])/9) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[w, v, u]*
      ((616*t[60])/9 - (152*t[61])/3 - (8*t[62])/3 + (2696*t[63])/9 - 
       (196*t[64])/9 + (4936*t[65])/27 + (3032*t[66])/27 + (64*t[69])/3 - 
       (128*t[72])/9 - (64*t[73])/3 + (224*t[75])/3 + (128*t[78])/3 + 
       (16*t[81])/9 + (112*t[82])/9 - (896*t[83])/9 + (320*t[84])/9 - 
       (136*t[85])/9 - (64*t[86])/3 - (536*t[87])/9 - (268*t[88])/9 + 
       (308*t[89])/9) + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*
      (-105*t[60] + 50*t[61] + (15*t[63])/2 + (615*t[64])/4 + 30*t[65] + 
       90*t[66] - 60*t[69] + 15*t[70] - 15*t[71] + (15*t[79])/2 - 
       (15*t[83])/2 - (15*t[86])/2 + 105*t[87] + (105*t[88])/2 + 60*t[89]) + 
     6*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*t[99] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-17*t[59])/2 - (35*t[60])/4 - (205*t[61])/4 - (61*t[62])/4 - 
       67*t[63] + (79*t[64])/8 + (293*t[65])/12 - (3*t[66])/4 - 2*t[67] + 
       22*t[74] - 3*t[75] - 3*t[78] + 27*t[79] - 18*t[80] - t[81]/2 - 
       (11*t[82])/2 + 7*t[83] - 2*t[84] - (19*t[85])/4 - 42*t[86] + 
       (47*t[87])/4 + (47*t[88])/8 + (69*t[89])/8 + 6*t[99]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      ((7*t[1])/3 - (131*t[2])/12 + (14*t[3])/3 + (71*t[4])/3 + 
       (135*t[5])/8 - 6*t[6] - (487*t[7])/12 - (11*t[8])/12 - 
       (1367*t[9])/24 + 2*t[10] - (41*t[11])/12 - (529*t[12])/24 + 
       (106*t[13])/27 - (115*t[14])/3 + (139*t[15])/48 + t[18]/3 + t[22] + 
       (2*t[27])/3 - t[28]/3 - (2*t[29])/3 + (8*t[30])/3 - 7*t[31] - 
       (8*t[32])/3 + (8*t[33])/3 - (32*t[34])/3 - 8*t[35] + 3*t[37] + 
       (8*t[38])/3 - (10*t[39])/3 + (20*t[40])/3 + (7*t[41])/6 - 
       (7*t[42])/6 + (35*t[43])/12 - (7*t[44])/3 - (5*t[45])/6 + 2*t[47] + 
       (31*t[48])/6 - (23*t[49])/12 - 3*t[50] + (17*t[51])/8 - 5*t[52] + 
       (23*t[53])/12 - (13*t[54])/2 + 2*t[59] - (89*t[60])/6 - 
       (173*t[61])/3 + (1123*t[62])/24 - (1043*t[63])/24 + (93*t[64])/2 - 
       (265*t[65])/18 + (308*t[66])/9 + 2*t[69] + 4*t[74] + t[75] - 
       (28*t[76])/3 - 2*t[77] + (16*t[78])/3 + (25*t[80])/3 - (7*t[81])/2 - 
       (3*t[82])/2 - 6*t[83] + (15*t[84])/4 - (91*t[85])/6 - 4*t[86] + 
       (61*t[87])/3 + (61*t[88])/6 + (25*t[89])/2 - (4*t[97])/3 - 76*t[98] + 
       76*t[99]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u]*
      ((135*t[3])/2 - 480*t[4] + (2865*t[5])/4 + (15*t[6])/2 + 300*t[7] + 
       120*t[8] - (1755*t[9])/4 - 990*t[10] + (1005*t[11])/2 - 
       (885*t[12])/4 + (2125*t[13])/12 - (175*t[14])/4 + (1535*t[15])/8 + 
       (585*t[43])/2 - 45*t[45] + 90*t[47] - 300*t[60] + 120*t[61] - 
       630*t[62] + 120*t[63] + 2340*t[64] - 355*t[65] - 1005*t[66] + 
       30*t[77] + 960*t[80] + 30*t[82] + 1560*t[86] - 210*t[89] - 
       1440*t[100]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - v]*
      (144*t[1] - 195*t[3] - 240*t[4] - 210*t[5] - (1305*t[6])/4 + 
       1140*t[7] - 1470*t[8] + (1365*t[9])/2 - 180*t[10] + (1245*t[11])/4 + 
       75*t[12] - (265*t[13])/2 - (585*t[14])/4 + (595*t[15])/4 - 180*t[29] - 
       60*t[30] + 15*t[39] - 15*t[40] + 570*t[44] - (1155*t[48])/4 - 
       180*t[49] + (2265*t[50])/4 + 90*t[51] - (2265*t[52])/4 + 135*t[53] - 
       (1245*t[54])/4 - (1735*t[60])/2 + (1095*t[61])/2 - (10045*t[62])/4 - 
       (2515*t[63])/4 + (18415*t[64])/4 + (13775*t[65])/6 - (2405*t[66])/2 - 
       120*t[69] - 360*t[70] + 360*t[71] + 390*t[76] - 450*t[78] + 
       480*t[79] + 1080*t[80] + 530*t[81] - 500*t[82] - 160*t[83] + 
       (595*t[84])/2 + (455*t[85])/2 + 910*t[86] + (2005*t[87])/2 + 
       (2005*t[88])/4 + (4495*t[89])/4 - 1440*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*
      ((-99*t[1])/2 + (13*t[2])/2 - (277*t[3])/2 + (225*t[4])/2 - 
       (2313*t[5])/4 + (347*t[6])/2 - 37*t[7] + 601*t[8] + (2031*t[9])/4 + 
       (843*t[10])/4 - 391*t[11] + (787*t[12])/2 - (7925*t[13])/36 + 
       (11555*t[14])/24 - (1249*t[15])/8 - 24*t[22] + 72*t[25] + 9*t[26] + 
       56*t[28] - 48*t[29] - 48*t[30] - 4*t[32] - 18*t[33] - 9*t[34] + 
       96*t[35] - 72*t[38] + 18*t[39] - 36*t[40] - (31*t[41])/2 + 
       (31*t[42])/2 - (221*t[43])/2 - 168*t[44] - 5*t[45] + 76*t[47] + 
       (355*t[48])/2 - (251*t[49])/4 - (193*t[50])/2 + (179*t[51])/8 + 
       (283*t[52])/2 + (251*t[53])/4 + 267*t[54] + 9*t[58] + (41*t[59])/2 + 
       (533*t[60])/2 - (81*t[61])/2 + (327*t[62])/4 - (1599*t[63])/4 - 
       (4713*t[64])/4 + (1669*t[65])/6 + (363*t[66])/2 - 96*t[73] + 
       200*t[75] - 63*t[76] - 40*t[77] + 36*t[78] - 40*t[79] - 214*t[80] - 
       71*t[81] + 87*t[82] + 8*t[83] + (119*t[84])/2 - (245*t[85])/2 - 
       496*t[86] - (163*t[87])/2 - (163*t[88])/4 + (877*t[89])/4 - 9*t[97] + 
       432*t[98] - 240*t[99] - 1044*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*(-58*t[1] + 162*t[2] + 263*t[3] - 
       (999*t[4])/2 + (89*t[5])/2 - (295*t[6])/4 - 435*t[7] + 141*t[8] - 
       33*t[9] + (257*t[10])/4 - (2073*t[11])/4 + (1035*t[12])/4 - 
       (3739*t[13])/9 - (3919*t[14])/24 - (2365*t[15])/12 + 60*t[29] + 
       30*t[30] + 16*t[31] - 20*t[32] + 20*t[33] + 42*t[34] + 56*t[35] + 
       16*t[37] - 9*t[38] + t[39] - 6*t[40] - 9*t[41] + 9*t[42] - 84*t[43] - 
       235*t[44] + 72*t[46] - 18*t[47] - (237*t[48])/4 - (453*t[49])/4 - 
       (389*t[50])/4 - (15*t[51])/8 + (461*t[52])/4 + (437*t[53])/4 + 
       (295*t[54])/4 - 23*t[59] + 541*t[60] + 72*t[61] + (1041*t[62])/2 + 
       (19*t[63])/2 - 1554*t[64] - (970*t[65])/3 + 27*t[66] + 12*t[67] + 
       56*t[69] + 144*t[74] - 48*t[75] - 200*t[76] + 18*t[77] + 38*t[78] - 
       292*t[79] - 76*t[80] - 8*t[81] - 62*t[82] + 92*t[83] - 107*t[84] - 
       109*t[85] + 124*t[86] - 591*t[87] - (591*t[88])/2 - (199*t[89])/2 - 
       12*t[94] + 54*t[96] + 36*t[97] + 432*t[98] - 240*t[99] - 
       1044*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      (-4*t[1] - (49*t[2])/2 - (1435*t[3])/8 + (617*t[4])/4 - 
       (1281*t[5])/16 + 133*t[6] - (1537*t[7])/8 - (263*t[8])/8 + 
       (3337*t[9])/16 - (55*t[10])/8 + (285*t[11])/8 - (1923*t[12])/16 + 
       (6781*t[13])/72 + (3327*t[14])/16 - (845*t[15])/32 + 3*t[17] + 
       12*t[19] + 36*t[20] - 12*t[21] + 33*t[22] + 12*t[23] + 72*t[24] - 
       20*t[27] + 28*t[28] + 16*t[29] - 14*t[30] - 24*t[31] - 16*t[32] + 
       46*t[33] + 62*t[34] + 108*t[35] - 12*t[37] - 8*t[38] - 8*t[39] + 
       16*t[40] + (15*t[41])/2 - (15*t[42])/2 - 38*t[43] - 32*t[44] + 
       (293*t[45])/2 - 12*t[46] - 174*t[47] + (571*t[48])/4 + (125*t[49])/2 + 
       (27*t[50])/4 - (97*t[51])/4 + (21*t[52])/4 - (125*t[53])/2 + 
       (305*t[54])/4 + 3*t[56] + (43*t[59])/2 + 260*t[60] + 729*t[61] + 
       (153*t[62])/4 + (2603*t[63])/4 - (1067*t[64])/4 - (5483*t[65])/12 - 
       (5261*t[66])/12 + 9*t[68] + 12*t[69] - 36*t[72] + 234*t[73] + 
       132*t[74] - 210*t[75] + 76*t[76] - 45*t[77] - 16*t[78] + 24*t[79] - 
       169*t[80] + 24*t[81] - (243*t[82])/2 - 186*t[83] + 36*t[84] - 
       144*t[85] - 609*t[86] - 194*t[87] - 97*t[88] - 106*t[89] + 3*t[90] - 
       t[91] + 6*t[93] + 4*t[97] + 624*t[98] - 336*t[99] - 954*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w]*(-4*t[1] - (49*t[2])/2 - 
       (1747*t[3])/8 + 189*t[4] - (125*t[5])/4 + (2189*t[6])/16 - 
       (387*t[7])/2 + (203*t[8])/2 + (1695*t[9])/8 + 123*t[10] + 
       (1763*t[11])/16 - (373*t[12])/4 + (869*t[13])/24 + (15439*t[14])/48 - 
       (2555*t[15])/72 + 12*t[17] + 12*t[19] + 72*t[20] - 72*t[22] + 
       42*t[24] - 12*t[27] + 48*t[28] - (19*t[29])/2 - 20*t[30] + 28*t[31] - 
       15*t[32] + 15*t[33] + 41*t[34] - 12*t[36] - 12*t[37] - 8*t[38] + 
       25*t[39] - 19*t[40] + 6*t[41] - 6*t[42] - 16*t[43] - 91*t[44] + 
       140*t[45] - 6*t[46] - 172*t[47] + (1411*t[48])/16 + (167*t[49])/2 - 
       (501*t[50])/16 - (149*t[51])/4 + (757*t[52])/16 - (167*t[53])/2 + 
       (2149*t[54])/16 - 6*t[56] + (35*t[59])/2 + (4475*t[60])/8 + 
       (3979*t[61])/8 - (5573*t[62])/16 + (3333*t[63])/16 - (3313*t[64])/16 - 
       (14683*t[65])/24 - (18281*t[66])/24 - 21*t[68] + 12*t[69] - 36*t[72] + 
       336*t[73] + 78*t[74] - 456*t[75] + 199*t[76] - 2*t[77] - 292*t[78] + 
       120*t[79] - 132*t[80] + 59*t[81] - 146*t[82] - 84*t[83] + 
       (301*t[84])/8 - (43*t[85])/8 - 244*t[86] - (3411*t[87])/8 - 
       (3411*t[88])/16 - (511*t[89])/16 + 3*t[90] - t[91] + 6*t[93] + 
       4*t[97] + 624*t[98] - 336*t[99] - 954*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      (12*t[59] + (369*t[60])/2 + (613*t[61])/2 + (51*t[62])/4 + 
       (481*t[63])/4 - (1405*t[64])/4 - (98*t[65])/3 - (853*t[66])/3 + 
       3*t[68] - 4*t[72] + 90*t[73] + 132*t[74] - 240*t[75] - 60*t[76] - 
       24*t[77] - 132*t[78] + 12*t[79] - 48*t[80] + 29*t[81] - 49*t[82] - 
       76*t[83] + 4*t[84] - (113*t[85])/2 - 282*t[86] - (247*t[87])/2 - 
       (247*t[88])/4 - (447*t[89])/4 - t[91] + 6*t[93] + 192*t[98] - 
       624*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*((16*t[1])/3 + (7*t[2])/6 - (265*t[3])/12 + 
       (33*t[4])/8 - (2185*t[5])/48 + (353*t[6])/24 + (183*t[7])/4 + 
       (47*t[8])/12 + (1079*t[9])/16 - 20*t[10] + (2273*t[11])/24 + 
       (151*t[12])/48 + (224*t[13])/9 + (28465*t[14])/288 + 
       (11669*t[15])/864 + t[16]/2 + (21*t[25])/2 - (19*t[26])/2 - 2*t[27] - 
       t[28] - t[29]/3 + (2*t[30])/3 - (46*t[31])/3 - (31*t[34])/6 - 
       10*t[35] - (3*t[36])/2 - (19*t[37])/2 + (2*t[38])/3 + (38*t[39])/3 - 
       (14*t[40])/3 + (5*t[41])/4 - (5*t[42])/4 - (14*t[43])/3 + t[44]/3 + 
       (53*t[45])/6 - (17*t[46])/4 - (44*t[47])/3 - (5*t[48])/24 + t[49]/24 - 
       (35*t[50])/8 - (89*t[51])/96 + (13*t[52])/24 + (161*t[53])/24 + 
       (50*t[54])/3 - t[58]/2 + (29*t[59])/6 + (211*t[60])/6 + 318*t[61] - 
       (3751*t[62])/48 + (857*t[63])/16 - (725*t[64])/12 - (1457*t[65])/72 - 
       (4709*t[66])/24 + (3*t[67])/2 - t[68]/2 - t[69] - 4*t[70] + 4*t[71] + 
       17*t[72] + 6*t[73] + (19*t[74])/2 - 8*t[75] + (32*t[76])/3 + 
       (7*t[77])/6 - (73*t[78])/6 + 27*t[79] + 20*t[80] + (61*t[81])/3 - 
       (34*t[82])/3 + 11*t[83] + (455*t[84])/24 - (761*t[85])/24 - 
       (56*t[86])/3 - (327*t[87])/8 - (439*t[88])/16 - (3185*t[89])/48 - 
       2*t[93] + t[95] + 8*t[96] + (14*t[97])/3 + 68*t[98] + 6*t[99] - 
       591*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*((8*t[1])/3 - (17*t[2])/6 - (1135*t[3])/24 + 
       (113*t[4])/24 - (133*t[5])/8 + (73*t[6])/2 - (259*t[7])/24 + 
       (1387*t[8])/24 + (1175*t[9])/24 - (227*t[10])/8 + (2695*t[11])/24 + 
       t[12]/6 + (1859*t[13])/27 + (4431*t[14])/32 + (895*t[15])/24 + 
       4*t[16] + t[22] + (5*t[25])/2 + t[26]/2 - (14*t[27])/3 + 
       (37*t[28])/3 - (7*t[29])/3 - (2*t[30])/3 - 18*t[31] - (4*t[32])/3 + 
       (4*t[33])/3 - (29*t[34])/6 - 10*t[35] + (11*t[36])/2 - 9*t[37] - 
       (8*t[38])/3 + (28*t[39])/3 + (7*t[40])/3 - (5*t[41])/12 + 
       (5*t[42])/12 + (103*t[43])/12 + (10*t[44])/3 - (14*t[45])/3 + 
       (43*t[46])/4 + 2*t[47] + (145*t[48])/12 - (773*t[49])/24 - 
       (95*t[50])/4 + (293*t[51])/32 + (57*t[52])/4 + (767*t[53])/24 + 
       (399*t[54])/8 - (3*t[58])/2 + 6*t[59] + (2527*t[60])/12 + 
       (3635*t[61])/12 - (713*t[62])/48 - (635*t[63])/48 - (757*t[64])/8 - 
       (7331*t[65])/72 - (19609*t[66])/72 - (5*t[68])/2 + 2*t[69] - t[70] + 
       t[71] + 21*t[72] + 14*t[73] + (5*t[74])/2 - 10*t[75] + (25*t[76])/3 + 
       t[77]/2 + (55*t[78])/6 - 12*t[79] + (239*t[80])/3 + (35*t[81])/2 - 
       23*t[82] - 49*t[83] + (461*t[84])/8 - (743*t[85])/24 - 107*t[86] - 
       (2171*t[87])/24 - (2507*t[88])/48 - (837*t[89])/16 + t[95] + 4*t[96] + 
       (4*t[97])/3 + 40*t[98] + 34*t[99] - 575*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-43*t[1])/6 + (47*t[2])/6 - (131*t[3])/4 + (379*t[4])/4 - 
       (769*t[5])/12 + (20*t[6])/3 + (973*t[7])/24 - (419*t[8])/8 + 
       (817*t[9])/24 - (281*t[10])/4 + (4085*t[11])/24 - (9*t[12])/8 + 
       (5513*t[13])/144 + (11621*t[14])/144 + (7157*t[15])/432 - 4*t[16] - 
       t[17]/3 - 4*t[18] - 4*t[19] - 2*t[20] - 6*t[21] + 6*t[23] - 
       (16*t[24])/3 + 8*t[25] - 6*t[26] - 8*t[27] - 10*t[28] + (10*t[29])/3 + 
       6*t[30] - 4*t[32] - (4*t[33])/3 + (11*t[34])/3 + 8*t[35] - 18*t[36] - 
       4*t[37] - (19*t[38])/3 - (22*t[39])/3 + (20*t[40])/3 + (3*t[41])/2 - 
       (7*t[42])/2 + (23*t[43])/8 + (35*t[44])/3 + (245*t[45])/12 - t[46] - 
       (75*t[47])/2 - (365*t[48])/24 + (389*t[49])/24 + (479*t[50])/24 - 
       (331*t[51])/48 - (551*t[52])/24 - (437*t[53])/24 - (457*t[54])/24 - 
       2*t[58] + (21*t[59])/2 + (332*t[60])/3 + (1463*t[61])/6 - 
       (71*t[62])/4 + (1927*t[63])/12 - (445*t[64])/6 - (446*t[65])/3 - 
       (503*t[66])/3 + 2*t[67] + (34*t[68])/3 - 18*t[69] + 8*t[70] - 
       8*t[71] + 6*t[72] + 8*t[73] + 28*t[74] - 4*t[75] + (47*t[76])/3 - 
       10*t[77] + (5*t[78])/3 - 10*t[79] - 42*t[80] + (74*t[81])/3 - 
       40*t[82] - 7*t[83] + (69*t[84])/2 + (11*t[85])/3 - 16*t[86] - 
       93*t[87] - (281*t[88])/6 - (1163*t[89])/12 + (2*t[90])/3 + 2*t[92] - 
       2*t[93] - 2*t[94] + (5*t[97])/3 + 48*t[99] - 538*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*((17*t[1])/6 - t[2]/6 - 
       (2231*t[3])/24 + (661*t[4])/12 - (379*t[5])/24 + (671*t[6])/6 + 
       (157*t[7])/6 + (401*t[8])/3 + (1163*t[9])/24 - (243*t[10])/8 + 
       (1693*t[11])/12 + (19*t[12])/4 + (4787*t[13])/72 + (9271*t[14])/48 + 
       (359*t[15])/12 + 4*t[19] + 2*t[20] + 4*t[21] - (22*t[22])/3 - 
       4*t[23] + 4*t[24] - 18*t[27] + 12*t[28] - (7*t[29])/2 + 2*t[30] + 
       2*t[31] + (37*t[32])/6 + 10*t[33] + (19*t[34])/3 - 12*t[35] + 
       4*t[36] - 8*t[37] - t[38]/3 + 3*t[39] - (11*t[40])/6 + (29*t[41])/6 - 
       (31*t[42])/6 + (29*t[43])/6 + (3*t[44])/4 + (5*t[45])/2 - 7*t[46] - 
       (29*t[47])/3 + (313*t[48])/12 + (263*t[49])/24 - (115*t[50])/12 - 
       (191*t[51])/48 + (215*t[52])/12 - (167*t[53])/24 + (123*t[54])/4 - 
       2*t[55] - t[56]/3 - (4*t[57])/3 + (17*t[59])/2 + (3443*t[60])/12 + 
       (2719*t[61])/6 - (1699*t[62])/12 - (341*t[63])/12 - 107*t[64] - 
       (1073*t[65])/9 - (2761*t[66])/9 - (4*t[68])/3 - 2*t[69] + 4*t[70] - 
       4*t[71] + 14*t[72] + 6*t[73] + 6*t[74] - 6*t[75] + t[76]/3 + 
       (4*t[77])/3 + (29*t[78])/3 - 14*t[79] + (154*t[80])/3 + 28*t[81] - 
       (158*t[82])/3 - 43*t[83] + (197*t[84])/3 - (59*t[85])/3 - 
       (193*t[86])/3 - (217*t[87])/2 - (157*t[88])/4 - (815*t[89])/24 + 
       (2*t[90])/3 - 8*t[95] + 2*t[96] + (23*t[97])/3 + 48*t[99] - 
       538*t[100]) + HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u]*
      ((139*t[3])/4 - 164*t[4] + (2061*t[5])/8 - (13*t[6])/4 + 108*t[7] + 
       22*t[8] - (1343*t[9])/8 - 385*t[10] + (729*t[11])/4 - (705*t[12])/8 + 
       (4459*t[13])/72 - (697*t[14])/24 + (3097*t[15])/48 + (429*t[43])/4 - 
       (33*t[45])/2 + 33*t[47] - 110*t[60] + 36*t[61] - 223*t[62] + 
       44*t[63] + 858*t[64] - (805*t[65])/6 - (729*t[66])/2 + 11*t[77] + 
       352*t[80] + 11*t[82] + 572*t[86] - 77*t[89] - 504*t[100]) + 
     HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - v]*(32*t[1] - (135*t[3])/2 - 72*t[4] - 
       69*t[5] - (981*t[6])/8 + 410*t[7] - 547*t[8] + (977*t[9])/4 - 
       54*t[10] + (937*t[11])/8 + (71*t[12])/2 - (355*t[13])/12 - 
       (309*t[14])/8 + (1141*t[15])/24 - 68*t[29] - 22*t[30] + (11*t[39])/2 - 
       (11*t[40])/2 + 209*t[44] - (887*t[48])/8 - 54*t[49] + (1621*t[50])/8 + 
       27*t[51] - (1621*t[52])/8 + (83*t[53])/2 - (937*t[54])/8 - 
       (1443*t[60])/4 + (1225*t[61])/4 - (6893*t[62])/8 - (995*t[63])/8 + 
       (13007*t[64])/8 + (2585*t[65])/4 - (1841*t[66])/4 - 48*t[69] - 
       96*t[70] + 96*t[71] + 143*t[76] - 165*t[78] + 192*t[79] + 336*t[80] + 
       155*t[81] - 144*t[82] - 64*t[83] + (411*t[84])/4 + (75*t[85])/4 + 
       234*t[86] + (1673*t[87])/4 + (1673*t[88])/8 + (2703*t[89])/8 - 
       504*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-19*t[1])/6 + 5*t[2] - (50*t[3])/3 - 
       (577*t[4])/12 - (93*t[5])/2 - (55*t[6])/24 + (265*t[7])/6 - 42*t[8] + 
       (345*t[9])/4 - (511*t[10])/12 + (1805*t[11])/24 + (463*t[12])/6 + 
       (1325*t[13])/36 + (8903*t[14])/144 - (553*t[15])/72 + 4*t[16] - 
       2*t[25] + (17*t[26])/3 - (7*t[27])/3 + 10*t[28] - 6*t[29] - 16*t[30] + 
       2*t[32] - 2*t[33] - 2*t[34] + (28*t[36])/3 - 3*t[37] - (8*t[38])/3 + 
       (34*t[39])/3 - 5*t[40] + t[41] - t[42] - t[43] + 14*t[44] - 
       (2*t[46])/3 + 2*t[47] - (91*t[48])/8 - 24*t[49] + (211*t[50])/24 + 
       (977*t[51])/48 - (115*t[52])/24 + (93*t[53])/2 + (265*t[54])/8 + 
       (11*t[59])/6 - (19*t[60])/2 + (843*t[61])/4 - (1385*t[62])/12 + 
       (191*t[63])/3 + (419*t[64])/8 - (427*t[65])/9 - (7069*t[66])/36 - 
       (4*t[68])/3 - 4*t[69] + 2*t[70] - 2*t[71] + (55*t[72])/3 - 16*t[73] + 
       (2*t[74])/3 - 48*t[75] + (80*t[76])/3 + t[77] - (133*t[78])/3 + 
       5*t[79] + 18*t[80] + 4*t[81] - (22*t[82])/3 - (73*t[83])/3 - 
       (7*t[84])/4 - (241*t[85])/4 + (47*t[86])/3 - (155*t[87])/4 - 
       (179*t[88])/8 - (823*t[89])/12 + (32*t[95])/3 + 11*t[96] + 8*t[97] + 
       72*t[98] - 464*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*(-3*t[1] - 42*t[3] - (145*t[4])/4 - 
       (509*t[5])/8 + (33*t[6])/2 + (11*t[7])/2 + (157*t[8])/2 + 
       (773*t[9])/8 - (907*t[10])/4 + 225*t[11] + (937*t[12])/8 + 
       (3481*t[13])/36 + (7901*t[14])/48 + (1799*t[15])/48 + 3*t[16] + 
       41*t[25] - 45*t[26] - 6*t[27] + 28*t[28] - 16*t[29] - 44*t[30] + 
       6*t[31] + 3*t[34] + 8*t[35] + t[36] - 11*t[37] + 2*t[38] + 20*t[39] + 
       8*t[40] - (3*t[41])/2 + (3*t[42])/2 - 10*t[43] + 14*t[44] - 3*t[45] + 
       (21*t[46])/2 + 6*t[47] + 19*t[48] - (223*t[49])/2 - 42*t[50] + 
       (707*t[51])/16 + 21*t[52] + 76*t[53] + (339*t[54])/4 - t[58] - 
       6*t[59] + (385*t[60])/2 + 233*t[61] - (2653*t[62])/24 - 
       (1967*t[63])/24 + (605*t[64])/6 + (505*t[65])/36 - (10513*t[66])/36 + 
       5*t[67] - 3*t[68] + 16*t[69] + 2*t[70] - 2*t[71] + 48*t[72] + 
       32*t[73] + 13*t[74] - 80*t[75] - 28*t[76] - 11*t[77] + 19*t[78] - 
       36*t[79] + 28*t[80] + 24*t[81] - 30*t[82] - (16*t[83])/3 + 
       (581*t[84])/12 - (515*t[85])/12 + (220*t[86])/3 - (83*t[87])/12 + 
       (109*t[88])/24 - (985*t[89])/24 + 4*t[93] - 10*t[95] - 12*t[96] - 
       2*t[97] - 216*t[98] + 348*t[99] - 460*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (-23*t[1] - 15*t[2] - 38*t[3] + (439*t[4])/4 - (1147*t[5])/8 + 
       (237*t[6])/4 + (67*t[7])/2 + (181*t[8])/2 + (115*t[9])/8 + 
       (217*t[10])/4 + (517*t[11])/4 + (315*t[12])/8 + (1963*t[13])/36 + 
       (7049*t[14])/48 + (2593*t[15])/48 + 27*t[25] + 5*t[26] - 14*t[27] - 
       28*t[28] + 16*t[29] + 12*t[30] - 22*t[31] - 3*t[34] - 8*t[35] - 
       5*t[36] - 26*t[37] - 30*t[38] - 4*t[39] + 10*t[40] + (3*t[41])/2 - 
       (3*t[42])/2 - 6*t[43] - 30*t[44] + 13*t[45] - (15*t[46])/2 - 
       26*t[47] + (155*t[48])/4 + (73*t[49])/2 - (89*t[50])/4 - 
       (513*t[51])/16 + (29*t[52])/4 - 56*t[53] - 7*t[54] + t[58] + 
       19*t[59] + (249*t[60])/2 + 609*t[61] - (1109*t[62])/8 + 
       (2569*t[63])/8 - 151*t[64] - (521*t[65])/4 - (1673*t[66])/12 + 
       5*t[68] + 10*t[70] - 10*t[71] - 8*t[72] - 32*t[73] + 5*t[74] + 
       80*t[75] - 72*t[76] - 17*t[77] + 121*t[78] + 40*t[79] - 24*t[80] - 
       2*t[81] - 10*t[82] + 8*t[83] + (27*t[84])/4 - (501*t[85])/4 - 
       114*t[86] - (165*t[87])/4 + (155*t[88])/8 - (863*t[89])/8 - 4*t[93] - 
       10*t[95] - 4*t[96] + 12*t[97] - 216*t[98] + 348*t[99] - 460*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-2*t[1])/3 - (9*t[2])/4 - (3379*t[3])/48 + (709*t[4])/8 - 
       (142*t[5])/3 + (1091*t[6])/96 - 12*t[7] - (679*t[8])/12 + 
       (1877*t[9])/16 + (809*t[10])/16 + (6101*t[11])/96 - (2261*t[12])/48 + 
       (4291*t[13])/144 + (13361*t[14])/144 - (794*t[15])/27 + (7*t[17])/2 - 
       t[18] + (8*t[19])/3 + 27*t[20] - 2*t[21] - 26*t[22] + 2*t[23] + 
       13*t[24] - t[26] - 4*t[27] + 8*t[28] + (41*t[29])/12 + (109*t[30])/6 - 
       t[31]/3 + (5*t[32])/2 - (17*t[33])/2 + (125*t[34])/6 + 3*t[35] - 
       13*t[36] - 7*t[37] - t[38]/3 + (37*t[39])/6 + t[40]/12 - t[41] + 
       t[42]/2 - (20*t[43])/3 - (161*t[44])/12 + (145*t[45])/3 + t[46] - 
       (191*t[47])/3 + (949*t[48])/96 + (1841*t[49])/48 + (831*t[50])/32 - 
       (1481*t[51])/96 - (2621*t[52])/96 - (1841*t[53])/48 + 
       (1471*t[54])/96 - 2*t[56] - (21*t[59])/4 + (8687*t[60])/48 + 
       (2069*t[61])/16 - (13829*t[62])/96 + (3295*t[63])/32 - 
       (9541*t[64])/96 - (34207*t[65])/144 - (12071*t[66])/48 - t[67]/2 - 
       3*t[68] + 2*t[69] + t[70] - t[71] - 23*t[72] + 114*t[73] + 26*t[74] - 
       156*t[75] + (875*t[76])/12 + (5*t[77])/3 - (290*t[78])/3 + 67*t[79] - 
       30*t[80] + (106*t[81])/3 - (353*t[82])/6 - (11*t[83])/2 + 
       (313*t[84])/48 + (185*t[85])/48 - (116*t[86])/3 - (1953*t[87])/16 - 
       (2257*t[88])/32 - (2035*t[89])/96 + t[90] - t[91]/3 + 2*t[93] + 
       4*t[95] + 2*t[96] - (4*t[97])/3 + 266*t[98] - 110*t[99] - 
       427*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((23*t[1])/6 - (35*t[2])/3 - (4177*t[3])/48 + (185*t[4])/3 + 
       (627*t[5])/32 + (284*t[6])/3 - (1789*t[7])/48 + (3265*t[8])/48 + 
       (7219*t[9])/96 + (559*t[10])/8 + (1225*t[11])/48 - (7459*t[12])/96 + 
       (3731*t[13])/54 + (2011*t[14])/16 + (511*t[15])/64 + t[17] + 
       (37*t[18])/6 + (9*t[19])/2 + 15*t[20] - 2*t[21] + (31*t[22])/2 + 
       (7*t[23])/2 + 23*t[24] + 2*t[25] - 2*t[26] - (25*t[27])/3 + 
       (32*t[28])/3 + (25*t[29])/3 - (34*t[30])/3 - 5*t[31] - (8*t[32])/3 + 
       (41*t[33])/3 + (52*t[34])/3 + 37*t[35] + 2*t[36] - (9*t[37])/2 - 
       t[38]/3 - (16*t[39])/3 + (2*t[40])/3 - (16*t[41])/3 + (71*t[42])/12 - 
       (371*t[43])/24 - (40*t[44])/3 + (665*t[45])/12 - (13*t[46])/2 - 
       (103*t[47])/2 + (182*t[48])/3 + (1375*t[49])/48 - (17*t[50])/2 - 
       (233*t[51])/32 + (21*t[52])/2 - (1375*t[53])/48 + (121*t[54])/8 + 
       t[56] + t[58] - (73*t[59])/12 + (5059*t[60])/24 + (6263*t[61])/24 - 
       (1621*t[62])/48 + (3377*t[63])/48 - (2255*t[64])/16 - 
       (5369*t[65])/36 - (9013*t[66])/36 - t[67]/2 + 3*t[68] - t[70] + 
       t[71] - 22*t[72] + 100*t[73] + 41*t[74] - 77*t[75] + (443*t[76])/12 - 
       (41*t[77])/2 - (20*t[78])/3 + 7*t[79] - (295*t[80])/6 + 21*t[81] - 
       (275*t[82])/4 - (189*t[83])/2 + (205*t[84])/8 - (679*t[85])/24 - 
       148*t[86] - (2785*t[87])/24 - (2785*t[88])/48 - (105*t[89])/16 + 
       t[90] - t[91]/3 + 2*t[93] + (2*t[97])/3 + 266*t[98] - 110*t[99] - 
       427*t[100]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      (t[2]/2 - (13*t[3])/4 - (35*t[4])/2 - (71*t[5])/8 + (93*t[6])/4 - 
       (3*t[7])/4 + (313*t[8])/4 + (35*t[9])/8 - 20*t[10] + (19*t[11])/2 + 
       (5*t[12])/8 - (721*t[13])/36 + (373*t[14])/12 - (221*t[15])/48 + 
       9*t[22] - 6*t[27] - 8*t[28] - 8*t[30] - 2*t[31] + 16*t[35] + 4*t[36] + 
       4*t[40] + t[41]/2 - t[42]/2 + (3*t[43])/2 - 22*t[44] - (9*t[45])/2 - 
       2*t[46] + (19*t[47])/2 + (67*t[48])/4 + (29*t[49])/4 - (61*t[50])/4 - 
       (21*t[51])/8 + (61*t[52])/4 - (29*t[53])/4 + (79*t[54])/4 + t[56] + 
       t[59]/2 - (103*t[60])/2 + (119*t[61])/2 - 32*t[62] + 9*t[63] + 
       97*t[64] - 3*t[65] - (193*t[66])/6 + 4*t[72] - 16*t[73] + 12*t[75] - 
       7*t[77] - 8*t[78] + 4*t[79] + 14*t[80] + 8*t[81] - (5*t[82])/2 + 
       20*t[83] - 8*t[84] - 8*t[85] + 84*t[86] + 20*t[87] + 10*t[88] - 
       25*t[89] + 48*t[98] - 24*t[99] - 403*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*(-2*t[1] + (3*t[2])/2 - 
       (65*t[3])/4 + (41*t[4])/2 - (93*t[5])/4 - (5*t[6])/8 + 29*t[7] - 
       (59*t[8])/2 + (107*t[9])/2 + (17*t[10])/4 + (177*t[11])/8 + 
       (45*t[12])/2 + (847*t[13])/36 + (691*t[14])/12 + (409*t[15])/72 + 
       6*t[25] - 4*t[26] + 2*t[27] + 8*t[28] - t[29] - t[30] + 2*t[31] - 
       6*t[35] + 4*t[36] + 4*t[37] - 2*t[38] + 3*t[39] - t[40] - 5*t[43] + 
       3*t[44] + 4*t[45] + 2*t[46] - 8*t[47] - (27*t[48])/8 - (61*t[49])/4 + 
       (45*t[50])/8 + (61*t[51])/8 - (13*t[52])/8 + (61*t[53])/4 - 
       (25*t[54])/8 - t[59]/2 + 163*t[60] + 266*t[61] - (449*t[62])/4 - 
       (263*t[63])/4 - (1167*t[64])/4 + (130*t[65])/3 - (1501*t[66])/6 + 
       2*t[68] + 8*t[69] + 58*t[72] + 40*t[74] - (71*t[76])/2 - 
       (107*t[78])/2 - 16*t[79] + 16*t[80] + 19*t[81] + 18*t[82] + 10*t[83] + 
       (125*t[84])/2 + (71*t[85])/2 - 21*t[86] - (177*t[87])/2 - 
       (177*t[88])/4 - (183*t[89])/2 - t[91]/3 + 4*t[93] + 2*t[97] + 
       48*t[98] - 24*t[99] - 403*t[100]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-67*t[1])/4 - (107*t[2])/8 + (263*t[3])/8 - 
       (5*t[4])/8 - (221*t[5])/8 + (89*t[6])/8 - (541*t[7])/8 - 
       (655*t[8])/8 - (71*t[9])/8 - (7*t[10])/2 - (35*t[11])/8 + 
       (23*t[12])/2 + (2621*t[13])/144 + (1103*t[14])/96 + (43*t[15])/9 + 
       4*t[16] - t[17]/4 - 6*t[18] + t[19] + 5*t[20] - 5*t[21] - 6*t[22] + 
       5*t[23] - 6*t[24] + (39*t[25])/2 - (19*t[26])/2 - 7*t[27] + 2*t[28] + 
       (15*t[29])/2 + 21*t[30] - 7*t[31] - (23*t[32])/2 - (13*t[33])/2 - 
       3*t[34] + 4*t[35] + (13*t[36])/2 - 6*t[37] - (27*t[38])/2 + 
       (11*t[39])/2 + t[40] - t[41]/2 - (5*t[42])/2 + (69*t[43])/8 + 
       (5*t[44])/4 - (33*t[45])/4 - (17*t[46])/4 + 4*t[47] - (29*t[48])/4 - 
       (57*t[49])/4 - (87*t[50])/4 + (203*t[51])/32 + (91*t[52])/4 + 
       10*t[53] + (171*t[54])/8 + (3*t[55])/2 - t[58]/2 + (25*t[59])/2 - 
       (397*t[60])/8 + (475*t[61])/4 + (817*t[62])/8 + (1651*t[63])/8 + 
       (197*t[64])/8 - (3055*t[65])/24 + (17*t[66])/24 - t[67] - 3*t[68] + 
       4*t[69] + 5*t[70] - 5*t[71] + 9*t[72] + t[74]/2 + 6*t[75] - 
       (17*t[76])/2 - (5*t[77])/2 + (29*t[78])/2 - t[80] + (35*t[81])/4 - 
       (93*t[82])/4 - 9*t[83] - (59*t[84])/8 - (127*t[85])/4 - 80*t[86] + 
       7*t[87] - 29*t[88] - (923*t[89])/16 - t[92] + t[94] + 7*t[95] + 
       4*t[96] - 5*t[97] - 24*t[98] + 58*t[99] - 353*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((101*t[1])/4 - (95*t[2])/8 - (689*t[3])/8 - (165*t[4])/4 - 
       (1367*t[5])/16 + (267*t[6])/4 + (575*t[7])/8 + (1441*t[8])/8 + 
       (2363*t[9])/16 - (99*t[10])/16 + (343*t[11])/4 + (261*t[12])/8 + 
       (7753*t[13])/144 + (1927*t[14])/16 + (797*t[15])/96 + (5*t[16])/2 + 
       t[17]/4 + 6*t[18] + 3*t[19] - t[20] + t[21] - t[22] - t[23] + 
       6*t[24] + 2*t[25] - 9*t[26] + (9*t[27])/2 - (5*t[29])/2 - 5*t[30] - 
       9*t[31] + (41*t[32])/2 + 2*t[34] + 8*t[35] + (11*t[36])/2 - 
       (23*t[37])/2 + (19*t[38])/2 + (15*t[39])/2 - (35*t[40])/2 + 5*t[41] - 
       2*t[42] - (135*t[43])/8 - (7*t[44])/4 - (39*t[45])/4 + 9*t[46] + 
       (81*t[47])/2 + (151*t[48])/8 - (829*t[49])/16 - (49*t[50])/8 + 
       (313*t[51])/16 + (113*t[52])/8 + (825*t[53])/16 + (607*t[54])/8 + 
       t[55] - t[58]/2 + (11*t[59])/2 + (739*t[60])/4 + (1229*t[61])/4 - 
       (3161*t[62])/16 - (2787*t[63])/16 + (139*t[64])/8 + (3329*t[65])/24 - 
       (4193*t[66])/24 - (9*t[68])/2 - t[69] - 8*t[70] + 8*t[71] + 33*t[72] - 
       (11*t[74])/2 + 2*t[75] - 7*t[76] + (43*t[77])/2 + (31*t[78])/2 + 
       8*t[79] + 23*t[80] + 4*t[81] + (15*t[82])/2 - 15*t[83] + 
       (381*t[84])/8 - (187*t[85])/8 + 4*t[86] - (315*t[87])/8 + 
       (21*t[88])/16 + (617*t[89])/16 - (3*t[92])/2 + (3*t[94])/2 - 5*t[95] - 
       5*t[96] + 2*t[97] - 24*t[98] + 58*t[99] - 353*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((13*t[1])/9 - (1417*t[2])/36 + (26695*t[3])/288 - (583*t[4])/24 + 
       (10757*t[5])/144 - (52475*t[6])/576 + (361*t[7])/12 - (8695*t[8])/36 - 
       (2301*t[9])/32 + (1163*t[10])/48 + (17299*t[11])/576 + (17*t[12])/18 - 
       (3947*t[13])/864 - (172927*t[14])/1728 - (39815*t[15])/1296 + t[24] - 
       3*t[25] + t[26] - t[27] - 2*t[28] + (451*t[29])/72 + (74*t[30])/9 - 
       (88*t[31])/9 - (125*t[32])/12 - (37*t[33])/12 + (361*t[34])/36 + 
       t[35] - (83*t[36])/6 - (10*t[37])/3 - (4*t[38])/9 + (523*t[39])/72 - 
       (319*t[40])/72 + 2*t[41] - 2*t[42] - (26*t[43])/9 + (214*t[44])/9 - 
       (253*t[45])/18 - 3*t[46] + (209*t[47])/18 - (15325*t[48])/576 + 
       (2819*t[49])/144 + (2729*t[50])/192 - (2483*t[51])/288 - 
       (13435*t[52])/576 - (1955*t[53])/144 - (39163*t[54])/576 - t[58] - 
       (313*t[59])/72 - (59213*t[60])/288 - (3887*t[61])/96 - 
       (67705*t[62])/576 + (2697*t[63])/64 + (226147*t[64])/576 - 
       (45047*t[65])/864 - (23423*t[66])/288 + t[67]/2 - (55*t[69])/3 - 
       10*t[70] + 10*t[71] + (31*t[72])/3 + 12*t[73] - (73*t[74])/6 - 
       (154*t[75])/3 + (3743*t[76])/36 + (49*t[77])/18 - (3179*t[78])/36 + 
       (703*t[79])/6 + (110*t[80])/3 - (137*t[81])/36 + (98*t[82])/9 + 
       (73*t[83])/3 - (24127*t[84])/288 - (7511*t[85])/288 + (916*t[86])/9 + 
       (1001*t[87])/32 - (535*t[88])/64 - (63743*t[89])/576 + t[91]/6 + 
       t[92]/2 - 2*t[93] - t[94]/2 + 4*t[95] + 10*t[96] + (29*t[97])/9 + 
       (1253*t[98])/3 - (1367*t[99])/3 - (953*t[100])/3) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*((-21*t[2])/2 - t[3] + 
       (23*t[4])/4 - (503*t[5])/8 - (201*t[6])/4 + (5*t[7])/2 - 21*t[8] + 
       (183*t[9])/8 + (69*t[10])/8 + 82*t[11] + (199*t[12])/4 + 
       (499*t[13])/24 + (215*t[14])/48 - (265*t[15])/48 - 39*t[28] + 
       12*t[30] - 3*t[31] + 12*t[35] - 10*t[36] - 16*t[39] + 6*t[40] + 
       6*t[41] - 6*t[42] - (13*t[43])/4 + 11*t[44] - 19*t[45] + (9*t[46])/2 + 
       15*t[47] - (97*t[48])/4 - (29*t[49])/8 + (15*t[50])/4 - (5*t[51])/16 - 
       (15*t[52])/4 + (29*t[53])/8 + 7*t[54] + 6*t[59] - 11*t[60] + 
       96*t[61] - (91*t[62])/4 + (311*t[63])/4 + (51*t[64])/4 - 
       (25*t[65])/2 - (215*t[66])/2 + 14*t[77] + 33*t[80] - 2*t[82] - 
       79*t[86] - (41*t[89])/2 + 216*t[98] - 126*t[99] - 297*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*(9*t[1] - (27*t[2])/2 + 
       36*t[3] - (125*t[4])/4 + (225*t[5])/4 + (229*t[6])/8 - 11*t[7] + 
       (33*t[8])/2 - (111*t[9])/4 + (109*t[10])/8 + (223*t[11])/8 + 
       (25*t[12])/8 - (1295*t[13])/72 + (169*t[14])/16 + (169*t[15])/4 - 
       16*t[25] + 10*t[26] + 6*t[27] + 9*t[28] + 27*t[29] + 2*t[30] + 
       7*t[31] + 3*t[32] - 3*t[33] - 24*t[34] - 23*t[35] + 9*t[36] + 
       6*t[38] + 10*t[39] - 4*t[40] + (11*t[43])/2 - (37*t[44])/2 + 
       12*t[45] + (19*t[46])/2 - 24*t[47] + (115*t[48])/8 - (325*t[49])/8 - 
       (5*t[50])/8 + (127*t[51])/16 + (5*t[52])/8 + (341*t[53])/8 + 
       (55*t[54])/8 - 21*t[59] + (199*t[60])/2 + 350*t[61] + (307*t[62])/8 - 
       (799*t[63])/8 - (2251*t[64])/8 + (151*t[65])/12 - (1129*t[66])/4 + 
       (3*t[67])/2 + 3*t[68] - 18*t[70] + 18*t[71] + 24*t[72] - 10*t[73] - 
       9*t[74] + 80*t[75] + 42*t[76] + 12*t[77] - 18*t[78] - 22*t[79] + 
       139*t[80] - 10*t[81] - (5*t[82])/2 - 107*t[83] - (69*t[84])/4 + 
       (61*t[85])/4 - 178*t[86] - (325*t[87])/4 - (325*t[88])/8 + 
       (61*t[89])/4 + (3*t[92])/2 - (3*t[94])/2 - (9*t[97])/2 + 216*t[98] - 
       126*t[99] - 297*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((17*t[1])/2 - (1205*t[2])/24 - (4267*t[3])/96 - 
       (1439*t[4])/48 + (6859*t[5])/192 - (637*t[6])/48 + (203*t[7])/32 + 
       (2819*t[8])/96 + (3397*t[9])/192 - (7763*t[10])/96 + (9173*t[11])/96 + 
       (3229*t[12])/192 + (7985*t[13])/216 + (15797*t[14])/192 - 
       (3013*t[15])/384 + 4*t[18] - t[20] + 4*t[21] + t[22]/12 - 4*t[23] + 
       4*t[24] + 7*t[25] - (11*t[26])/2 - (22*t[27])/3 + (22*t[28])/3 + 
       (25*t[29])/3 - (33*t[30])/2 - (41*t[31])/3 - (14*t[32])/3 + 
       (5*t[33])/3 + (28*t[34])/3 - (40*t[35])/3 - t[36] + (31*t[37])/3 - 
       (4*t[38])/3 + t[39] + (8*t[40])/3 + (49*t[41])/24 - t[42]/24 + 
       (335*t[43])/16 + (7*t[44])/3 - (205*t[45])/8 + (23*t[46])/12 + 
       (203*t[47])/6 + (835*t[48])/48 + (691*t[49])/48 - (487*t[50])/16 - 
       (725*t[51])/96 + (327*t[52])/16 - (499*t[53])/48 + (253*t[54])/16 - 
       t[56]/2 + 2*t[57] + t[58]/2 + (185*t[59])/24 + (895*t[60])/6 + 
       (1717*t[61])/12 - (352*t[62])/3 - (645*t[63])/8 + (2195*t[64])/8 - 
       (1339*t[65])/16 - (17635*t[66])/48 + (19*t[69])/3 - 8*t[70] + 
       8*t[71] + (103*t[73])/3 + (8*t[74])/3 - (109*t[75])/3 + 
       (247*t[76])/6 + (25*t[77])/12 - (217*t[78])/6 + (349*t[80])/2 + 
       (107*t[81])/6 - 22*t[82] - (71*t[83])/2 + 17*t[84] + (51*t[85])/4 + 
       (122*t[86])/3 - (373*t[87])/4 - (377*t[88])/8 - (499*t[89])/24 + 
       6*t[96] + (17*t[97])/3 + 329*t[98] - 367*t[99] - 267*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*
      ((-99*t[1])/8 + (5*t[2])/8 - (215*t[3])/8 + (103*t[4])/8 - 
       (1617*t[5])/16 + (353*t[6])/8 + (123*t[7])/8 + (1009*t[8])/8 + 
       (1815*t[9])/16 - (171*t[10])/16 - (259*t[11])/4 + (609*t[12])/8 - 
       (6223*t[13])/144 + (11395*t[14])/96 - (3085*t[15])/96 - 6*t[22] + 
       18*t[25] + (9*t[26])/4 + 14*t[28] - 12*t[29] - 12*t[30] - 
       (3*t[32])/2 - (9*t[33])/2 - (9*t[34])/4 + 24*t[35] - 18*t[38] + 
       (9*t[39])/2 - 9*t[40] - (23*t[41])/8 + (23*t[42])/8 - (53*t[43])/4 - 
       38*t[44] - (5*t[45])/2 + (49*t[47])/2 + (311*t[48])/8 - 
       (219*t[49])/16 - (149*t[50])/8 + (147*t[51])/32 + (239*t[52])/8 + 
       (219*t[53])/16 + (229*t[54])/4 + (9*t[58])/4 + (49*t[59])/8 + 
       (513*t[60])/8 + (39*t[61])/8 - (289*t[62])/16 - (1755*t[63])/16 - 
       (2993*t[64])/16 + (323*t[65])/8 - (475*t[66])/24 - 24*t[73] + 
       50*t[75] - (63*t[76])/4 - 8*t[77] + 9*t[78] - 10*t[79] - 
       (31*t[80])/2 - (59*t[81])/4 + (49*t[82])/4 + (123*t[84])/8 - 
       (213*t[85])/8 - 34*t[86] - (235*t[87])/8 - (235*t[88])/16 + 
       (689*t[89])/16 - (9*t[97])/4 + 108*t[98] - 60*t[99] - 267*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*((-27*t[1])/2 + 33*t[2] + 
       (207*t[3])/4 - (1023*t[4])/8 + (39*t[5])/8 - (527*t[6])/16 - 70*t[7] - 
       (223*t[8])/4 + (57*t[9])/4 + (161*t[10])/16 - (1641*t[11])/16 + 
       (943*t[12])/16 - (860*t[13])/9 - (3823*t[14])/96 - (729*t[15])/16 + 
       3*t[29] + (27*t[30])/4 + 2*t[31] - (19*t[32])/4 + (19*t[33])/4 + 
       (21*t[34])/2 + 14*t[35] - (9*t[38])/4 - (13*t[39])/4 + (3*t[40])/2 - 
       (9*t[41])/4 + (9*t[42])/4 - 19*t[43] - (83*t[44])/4 + 18*t[46] - 
       (9*t[47])/2 - (489*t[48])/16 - (453*t[49])/16 + (67*t[50])/16 - 
       (15*t[51])/32 + (5*t[52])/16 + (373*t[53])/16 - (41*t[54])/16 - 
       (19*t[59])/4 + (551*t[60])/4 + (235*t[61])/4 + (373*t[62])/4 + 
       (47*t[63])/2 - (3249*t[64])/8 - (991*t[65])/12 - (305*t[66])/6 + 
       3*t[67] + 12*t[69] + 36*t[74] - 12*t[75] - 28*t[76] + (9*t[77])/2 - 
       (25*t[78])/2 - 67*t[79] - 3*t[80] + 3*t[81] - (37*t[82])/2 + 
       22*t[83] - (35*t[84])/2 - (31*t[85])/2 + 25*t[86] - (493*t[87])/4 - 
       (493*t[88])/8 - (301*t[89])/8 - 3*t[94] + (27*t[96])/2 + 9*t[97] + 
       108*t[98] - 60*t[99] - 267*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*(-7*t[1] - (43*t[2])/8 - 
       21*t[3] - (121*t[4])/4 + (229*t[5])/8 + (27*t[6])/8 + (493*t[7])/16 + 
       (1139*t[8])/16 + (577*t[9])/16 - (819*t[10])/16 + (1269*t[11])/16 + 
       (173*t[12])/4 + (14759*t[13])/288 + (1331*t[14])/24 - (131*t[15])/32 - 
       2*t[16] + (3*t[17])/4 + 4*t[18] + 2*t[19] - 16*t[20] + 9*t[21] + 
       t[22] - 9*t[23] + 13*t[24] + (13*t[25])/2 - 3*t[26] + (3*t[27])/2 + 
       t[28] + 5*t[29] + t[30] - 7*t[31] - t[32] + 4*t[33] + (17*t[34])/2 - 
       8*t[35] + 6*t[37] - 4*t[38] + (9*t[40])/2 + (13*t[41])/2 - 
       (11*t[42])/2 + (61*t[43])/16 - (7*t[44])/2 - (21*t[45])/8 - 
       (7*t[46])/2 + (43*t[47])/4 + (119*t[48])/16 + (67*t[49])/8 - 
       (401*t[50])/16 + (39*t[51])/16 + (121*t[52])/16 - (83*t[53])/8 + 
       (125*t[54])/16 + 4*t[57] + (5*t[59])/2 + (217*t[60])/4 + 115*t[61] - 
       (709*t[62])/8 + (53*t[63])/8 + (281*t[64])/2 + (5*t[65])/12 - 
       (3097*t[66])/12 + 2*t[67] + 6*t[68] - 6*t[69] - 8*t[70] + 8*t[71] - 
       4*t[72] + 16*t[73] + 7*t[74] - 32*t[75] + 26*t[76] - 11*t[77] - 
       29*t[78] + 12*t[79] + 69*t[80] + 21*t[81] - 13*t[82] + 8*t[83] + 
       (29*t[84])/4 + (87*t[85])/4 + (159*t[86])/2 - (231*t[87])/4 - 
       (231*t[88])/8 - (319*t[89])/8 + (5*t[92])/2 - 2*t[93] - (5*t[94])/2 + 
       2*t[97] + 132*t[98] - 122*t[99] - 248*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((3*t[1])/4 - (91*t[2])/4 + (247*t[3])/16 + (295*t[4])/8 - 
       (175*t[5])/4 - (237*t[6])/8 + (395*t[7])/8 - (715*t[8])/8 + 52*t[9] - 
       (131*t[10])/16 + (83*t[11])/2 - (57*t[12])/16 - (583*t[13])/144 + 
       (3703*t[14])/96 - (1045*t[15])/288 + t[17]/4 + 2*t[18] + 2*t[19] - 
       12*t[20] + 4*t[22] - t[23] - t[24] + 5*t[28] + (7*t[29])/4 + 
       (7*t[30])/2 + 3*t[31] - (65*t[32])/4 - 3*t[33] + (5*t[34])/2 - 
       3*t[35] - 7*t[36] - (5*t[37])/2 + t[38]/2 + (17*t[39])/2 + 
       (7*t[40])/2 + t[41]/2 - t[42]/2 - (7*t[43])/4 + (89*t[44])/8 - 
       5*t[45] + (5*t[46])/2 + (9*t[47])/2 - 7*t[48] + (287*t[49])/16 + 
       13*t[50] - (419*t[51])/32 - (39*t[52])/2 - (191*t[53])/16 - 
       (123*t[54])/4 - t[55] + t[56] + 3*t[59] - (257*t[60])/4 + 139*t[61] - 
       (817*t[62])/16 + (621*t[63])/16 - (363*t[64])/4 + (443*t[65])/24 - 
       (1703*t[66])/24 - t[67]/2 - t[68]/2 - 8*t[69] - 5*t[70] + 5*t[71] + 
       4*t[72] + 6*t[73] + (13*t[74])/2 - 10*t[75] + 20*t[76] + t[77]/2 - 
       (63*t[78])/2 + 19*t[79] + 22*t[80] + (29*t[81])/2 - t[82]/2 + 
       17*t[83] - (45*t[84])/8 - (55*t[85])/8 + 4*t[86] - (167*t[87])/8 - 
       (407*t[88])/16 - (657*t[89])/16 - 2*t[93] + 3*t[95] + 10*t[96] + 
       3*t[97] + 132*t[98] - 122*t[99] - 248*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*(-t[1] + (75*t[2])/8 + 
       (19*t[3])/2 + (11*t[4])/2 - (127*t[5])/4 + (49*t[6])/4 + 
       (119*t[7])/16 - (15*t[8])/16 + (173*t[9])/16 - (299*t[10])/16 + 
       (329*t[11])/16 + (49*t[12])/4 - (2165*t[13])/96 + (327*t[14])/16 - 
       (1121*t[15])/96 - (7*t[17])/4 - 4*t[18] + 18*t[20] - t[21] - t[22] + 
       t[23] + t[24] - t[25]/2 + 2*t[26] - (7*t[27])/2 + 16*t[28] - 9*t[29] - 
       7*t[30] + 2*t[31] - t[32] + (5*t[34])/2 - 2*t[38] + 8*t[39] - 
       (19*t[40])/2 - t[41] + t[42]/2 + (19*t[43])/16 - (9*t[44])/2 - 
       (67*t[45])/8 - t[46]/2 + (41*t[47])/4 - (9*t[48])/16 + (21*t[49])/4 + 
       (111*t[50])/16 - (55*t[51])/8 + (153*t[52])/16 - (21*t[53])/4 - 
       (7*t[54])/16 - 4*t[57] + t[59]/2 + (25*t[60])/2 + (97*t[61])/4 - 
       4*t[62] + 15*t[63] - (259*t[64])/8 - (49*t[65])/3 + (3*t[66])/2 + 
       2*t[70] - 2*t[71] + t[74] - 2*t[76] + 2*t[77] + 2*t[78] - 7*t[80] + 
       t[81] + (3*t[84])/2 - (5*t[85])/2 - (31*t[86])/2 - t[87]/2 - t[88]/4 - 
       (5*t[89])/4 - t[92]/2 + t[94]/2 - 108*t[98] + 174*t[99] - 
       238*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-5*t[1])/4 + (35*t[2])/2 - (251*t[3])/16 - (161*t[4])/8 + 
       (137*t[5])/8 + (15*t[6])/2 + (389*t[7])/8 + (95*t[8])/8 + 
       (59*t[9])/8 - (915*t[10])/16 + (53*t[11])/8 - (283*t[12])/16 + 
       (655*t[13])/48 + (323*t[14])/96 + (1451*t[15])/288 + (3*t[17])/4 + 
       6*t[19] + 2*t[20] - 2*t[22] - 2*t[23] - t[24] - (7*t[29])/4 - 
       t[30]/2 - 16*t[31] + (7*t[32])/4 - 5*t[33] + (9*t[34])/2 + 8*t[36] - 
       (5*t[37])/2 - (3*t[38])/2 + (9*t[39])/2 - 5*t[40] - t[41]/2 + 
       t[42]/2 - (9*t[43])/4 + (31*t[44])/8 - 3*t[45] + (5*t[47])/2 + 
       (37*t[48])/8 - (57*t[49])/16 + (53*t[50])/8 + (17*t[51])/32 + 
       (7*t[52])/8 + (25*t[53])/16 - (77*t[54])/8 - t[55] - t[56] - 5*t[59] + 
       132*t[60] + (1883*t[61])/12 - (3419*t[62])/48 - (547*t[63])/16 + 
       (159*t[64])/8 - (575*t[65])/72 - (10741*t[66])/72 + (5*t[67])/2 - 
       (3*t[68])/2 + t[70] - t[71] + 24*t[72] + 16*t[73] + (15*t[74])/2 - 
       40*t[75] - 14*t[76] - (3*t[77])/2 + (19*t[78])/2 - 22*t[79] + 
       14*t[80] + (25*t[81])/2 - (31*t[82])/2 - (16*t[83])/3 + 
       (581*t[84])/24 - (473*t[85])/24 + (40*t[86])/3 - (493*t[87])/24 - 
       (301*t[88])/48 - (277*t[89])/16 + 2*t[93] - 5*t[95] - 6*t[96] - 
       t[97] - 108*t[98] + 174*t[99] - 238*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v]*(2*t[1] + 7*t[2] + 
       (569*t[3])/8 - 45*t[4] + (149*t[5])/2 + (557*t[6])/16 - 153*t[7] + 
       (215*t[8])/2 - (447*t[9])/8 + 54*t[10] - (1261*t[11])/16 - 7*t[12] - 
       (779*t[13])/24 + (67*t[14])/48 - (499*t[15])/9 + (47*t[29])/2 + 
       22*t[30] - 20*t[31] - 3*t[32] + 3*t[33] + 17*t[34] - 18*t[36] - 
       12*t[37] - 8*t[38] - 5*t[39] - 7*t[40] - 10*t[43] - 61*t[44] - 
       28*t[45] + 20*t[47] + (235*t[48])/16 + (89*t[49])/2 - 
       (1245*t[50])/16 - (113*t[51])/4 + (1501*t[52])/16 - (89*t[53])/2 + 
       (301*t[54])/16 - (11*t[59])/2 + (539*t[60])/8 - (1245*t[61])/8 - 
       (3341*t[62])/16 - (1491*t[63])/16 + (3527*t[64])/16 - 
       (5527*t[65])/24 - (1287*t[66])/8 + 12*t[72] - 18*t[74] - 60*t[75] + 
       58*t[76] + 4*t[77] - 136*t[78] + 96*t[79] + 12*t[80] + 14*t[81] + 
       t[82] + 72*t[83] - (455*t[84])/8 + (5*t[85])/8 + 212*t[86] - 
       (1011*t[87])/8 - (1011*t[88])/16 - (1327*t[89])/16 + 4*t[97] + 
       300*t[98] - 300*t[99] - 228*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*(-4*t[1] + 8*t[2] + (17*t[3])/8 + t[4]/4 - 
       (1977*t[5])/16 - (45*t[6])/4 + (179*t[7])/8 - (1235*t[8])/8 + 
       (4057*t[9])/16 - (411*t[10])/8 - (701*t[11])/8 + (917*t[12])/16 - 
       (6419*t[13])/72 + (1775*t[14])/16 - (8975*t[15])/96 - 9*t[22] - 
       8*t[27] + 40*t[28] + 8*t[29] - 38*t[30] + 20*t[32] - 8*t[33] + 
       32*t[34] + 36*t[35] - 8*t[38] + 28*t[39] - 20*t[40] - (7*t[41])/2 + 
       (7*t[42])/2 - 23*t[43] - 8*t[44] - (7*t[45])/2 - 9*t[46] - 21*t[47] + 
       (71*t[48])/2 + (31*t[49])/2 - (9*t[50])/2 - 12*t[51] + (57*t[52])/2 - 
       (31*t[53])/2 + (51*t[54])/2 - (3*t[59])/2 + 70*t[60] + 101*t[61] - 
       (41*t[62])/4 + (577*t[63])/4 - (1101*t[64])/4 - (43*t[65])/12 + 
       (187*t[66])/12 + 28*t[76] - 9*t[77] - 16*t[78] - 85*t[80] + 12*t[81] - 
       (45*t[82])/2 - 6*t[84] + 26*t[85] - 159*t[86] - 58*t[87] - 29*t[88] - 
       9*t[89] + 4*t[97] + 300*t[98] - 300*t[99] - 228*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*((43*t[1])/4 + t[2] - 
       (193*t[3])/24 - (355*t[4])/4 + (2221*t[5])/16 + (573*t[6])/8 - 
       (75*t[7])/2 - (279*t[8])/4 - (2967*t[9])/16 + (195*t[10])/8 - 
       9*t[11] - (911*t[12])/16 - (875*t[13])/9 + (853*t[14])/12 + 
       (28247*t[15])/288 + t[17]/2 - 2*t[24] - 6*t[25] - t[26]/2 - 3*t[31] - 
       t[32] + t[33] + t[34]/6 - 21*t[35] + 23*t[37] + 6*t[38] - t[39] + 
       (5*t[40])/2 + (31*t[41])/4 - (21*t[42])/4 + (413*t[43])/8 + 15*t[44] + 
       (57*t[45])/4 + 14*t[46] - (177*t[47])/2 + (193*t[48])/8 - 
       (29*t[49])/8 - (39*t[50])/8 - (55*t[51])/16 + (11*t[52])/8 + 
       (29*t[53])/8 + (85*t[54])/8 - t[58]/2 + 28*t[59] + (799*t[60])/6 + 
       52*t[61] + (1905*t[62])/8 + (1079*t[63])/8 - (825*t[64])/4 - 
       157*t[65] + (785*t[66])/12 + (3*t[67])/2 + 29*t[69] - 14*t[70] + 
       14*t[71] + 28*t[74] + (7*t[76])/2 + 6*t[77] - 2*t[78] - 4*t[79] - 
       37*t[80] + (29*t[81])/2 - 14*t[82] - (59*t[83])/2 + (107*t[84])/4 - 
       (19*t[85])/4 - 161*t[86] - (239*t[87])/4 - (239*t[88])/8 - 
       (35*t[89])/2 + t[94] + t[97] + 24*t[98] - 24*t[99] - 216*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*(t[1] - (53*t[2])/4 - 
       (379*t[3])/8 - 56*t[4] - (291*t[5])/4 - (1279*t[6])/48 + 226*t[7] - 
       (37*t[8])/2 + (873*t[9])/8 - 46*t[10] + (931*t[11])/48 + 
       (85*t[12])/4 - 50*t[13] + (1015*t[14])/16 - (55*t[15])/6 - 36*t[28] - 
       40*t[29] - 7*t[30] + (43*t[32])/3 - 8*t[33] + 13*t[34] + 15*t[35] + 
       15*t[36] + t[38]/2 + t[39] - t[40]/2 + t[41]/2 - t[42]/2 + 
       (15*t[43])/2 + (253*t[44])/4 + t[47] - (1055*t[48])/16 - (7*t[49])/2 + 
       (993*t[50])/16 + 2*t[51] - (1025*t[52])/16 + (11*t[53])/2 + 
       (39*t[54])/16 + (29*t[59])/4 + (209*t[60])/8 + (1533*t[61])/8 - 
       (4555*t[62])/16 - (193*t[63])/16 + (2101*t[64])/16 + (217*t[65])/8 - 
       (2221*t[66])/24 - 6*t[72] - 8*t[74] - 24*t[75] + (7*t[76])/2 - 
       14*t[77] - (41*t[78])/2 + 3*t[79] + 32*t[80] - (25*t[81])/2 + 
       (15*t[82])/2 + 49*t[83] + (243*t[84])/8 + (257*t[85])/8 + 279*t[86] + 
       (957*t[87])/8 + (1437*t[88])/16 - (487*t[89])/16 - 14*t[95] + 
       3*t[96] + (5*t[97])/2 + 24*t[98] - 24*t[99] - 216*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      (204*t[2] - (681*t[3])/4 - (741*t[4])/4 + (275*t[5])/2 + (625*t[6])/2 - 
       (669*t[7])/2 + (1259*t[8])/2 - (341*t[9])/2 - (1975*t[10])/8 - 
       391*t[11] - (519*t[12])/8 - (1553*t[13])/9 + (5899*t[14])/48 + 
       (59*t[15])/12 - 3*t[17] + 28*t[19] - 24*t[20] + 28*t[21] + 16*t[22] - 
       28*t[23] + 44*t[24] - 8*t[26] + 44*t[27] + 32*t[28] - 41*t[29] - 
       6*t[30] + 93*t[32] + 28*t[34] + 32*t[35] - 12*t[36] - 26*t[37] - 
       6*t[38] + 22*t[39] - 52*t[40] + 19*t[41] - 19*t[42] - 16*t[43] + 
       (109*t[44])/2 - 52*t[45] + 22*t[46] - 22*t[47] + 232*t[48] - 
       (825*t[49])/8 - 116*t[50] + (501*t[51])/16 + 196*t[52] + 
       (633*t[53])/8 + (1373*t[54])/4 + 2*t[55] + 4*t[56] - 16*t[57] + 
       2*t[59] + (769*t[60])/4 - (77*t[61])/4 + (2795*t[62])/8 - 
       (627*t[63])/8 - (1621*t[64])/8 + (1853*t[65])/12 + (7687*t[66])/12 - 
       2*t[68] + 28*t[70] - 28*t[71] + 68*t[72] - 48*t[73] + 134*t[74] + 
       132*t[75] - 22*t[76] + 22*t[77] + 52*t[78] - 128*t[79] + 108*t[80] - 
       90*t[81] + 110*t[82] - 192*t[83] + (525*t[84])/4 + (25*t[85])/4 - 
       536*t[86] + (387*t[87])/4 + (1411*t[88])/8 - (155*t[89])/8 - 4*t[93] - 
       28*t[95] - 64*t[96] - 4*t[97] - 144*t[98] + 72*t[99] - 216*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      (-42*t[1] + (263*t[2])/2 - 44*t[3] - (471*t[4])/4 - 81*t[5] - 29*t[6] + 
       (337*t[7])/4 - (1525*t[8])/4 + (899*t[9])/4 + (547*t[10])/8 - 
       (1271*t[11])/4 - (215*t[12])/8 - (28151*t[13])/72 - (1069*t[14])/16 + 
       t[15]/36 - 4*t[16] - t[17] - 28*t[18] - 28*t[19] - 56*t[20] - 
       56*t[21] + 44*t[22] + 56*t[23] - 24*t[24] + 2*t[25] + 20*t[26] - 
       18*t[27] - 44*t[28] + 28*t[29] - 28*t[30] - 4*t[31] - 40*t[33] - 
       18*t[34] - 44*t[35] + 28*t[36] + 28*t[37] - 34*t[38] + 20*t[39] - 
       40*t[40] - 26*t[41] + 12*t[42] + (89*t[43])/4 - 64*t[44] - 
       (5*t[45])/2 + 32*t[46] - 47*t[47] - (395*t[48])/4 - (57*t[49])/8 + 
       (285*t[50])/4 - (817*t[51])/16 + (43*t[52])/4 + (57*t[53])/8 - 
       26*t[54] + 4*t[56] + 34*t[59] - (73*t[60])/4 - (1221*t[61])/4 + 
       (4583*t[62])/24 + (19105*t[63])/24 + (3701*t[64])/24 - 
       (22937*t[65])/36 + (17255*t[66])/36 + 2*t[67] + 10*t[68] + 40*t[70] - 
       40*t[71] - 84*t[72] + 34*t[74] - 84*t[75] - 44*t[76] - 8*t[77] + 
       22*t[78] + 48*t[79] - 266*t[80] - 21*t[81] - 35*t[82] + 
       (488*t[83])/3 - (475*t[84])/12 + (967*t[85])/12 + (79*t[86])/3 - 
       (2927*t[87])/12 - (2927*t[88])/24 - (5269*t[89])/24 + 2*t[92] - 
       4*t[93] - 2*t[94] + 14*t[97] - 144*t[98] + 72*t[99] - 216*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (-28*t[1] + (409*t[2])/6 + (253*t[3])/8 + (865*t[4])/4 - 
       (14231*t[5])/48 - (289*t[6])/6 + (2227*t[7])/8 - (10205*t[8])/24 + 
       (33359*t[9])/48 - (3083*t[10])/8 + (985*t[11])/8 + (1387*t[12])/48 + 
       (17215*t[13])/216 + (29911*t[14])/144 - (17387*t[15])/96 + 
       (10*t[17])/3 + (8*t[18])/3 + 4*t[19] + 16*t[20] + 8*t[21] - 
       (287*t[22])/3 - (8*t[23])/3 + (26*t[24])/3 - (28*t[27])/3 + 
       (80*t[28])/3 - (8*t[29])/3 - (149*t[30])/3 + 4*t[31] - 53*t[32] - 
       (107*t[33])/3 + (452*t[34])/3 + 16*t[35] + 8*t[36] - (26*t[37])/3 - 
       (101*t[38])/3 + (100*t[39])/3 - 37*t[40] - (17*t[41])/6 + 
       (11*t[42])/2 + (143*t[43])/6 - 16*t[44] - (1013*t[45])/6 + t[46] + 
       (517*t[47])/3 + (353*t[48])/12 + (353*t[49])/6 + (23*t[50])/4 - 
       (299*t[51])/6 + (163*t[52])/12 - (115*t[53])/2 - (637*t[54])/12 - 
       6*t[55] - (10*t[56])/3 - (40*t[57])/3 + (53*t[59])/3 + 313*t[60] + 
       (251*t[61])/2 + (221*t[62])/4 + (119*t[63])/12 - 269*t[64] + 
       (1921*t[65])/36 - (8155*t[66])/12 + (2*t[67])/3 - (22*t[68])/3 + 
       8*t[69] - (44*t[70])/3 + (44*t[71])/3 - 28*t[72] + 72*t[73] - 
       (26*t[74])/3 - 64*t[75] + 168*t[76] + t[77] - (361*t[78])/3 - 
       96*t[79] + 245*t[80] + (388*t[81])/3 - (215*t[82])/2 - 56*t[83] + 
       (139*t[84])/2 + 237*t[85] - 105*t[86] - (919*t[87])/3 - 
       (1291*t[88])/6 + (1643*t[89])/12 + (4*t[90])/3 + 20*t[95] + 
       (58*t[96])/3 + (17*t[97])/3 + 1148*t[98] - 1316*t[99] - 204*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((83*t[1])/6 - (20*t[2])/3 + (3811*t[3])/24 - (665*t[4])/6 - 
       (1637*t[5])/12 - (97*t[6])/48 - (539*t[7])/6 - (47*t[8])/3 + 
       (3865*t[9])/24 - (1537*t[10])/12 + (4601*t[11])/48 + (483*t[12])/2 + 
       (11383*t[13])/216 - (18065*t[14])/144 - (33143*t[15])/216 - 4*t[16] - 
       (17*t[17])/3 + (40*t[18])/3 + 12*t[19] - 26*t[20] - (16*t[21])/3 - 
       (68*t[22])/3 - 16*t[23] + 12*t[24] - 22*t[25] + (40*t[26])/3 + 
       10*t[27] - 28*t[28] - (247*t[29])/6 - (262*t[30])/3 - (16*t[31])/3 - 
       (115*t[32])/3 + (101*t[33])/3 + (196*t[34])/3 + 24*t[35] - 26*t[36] - 
       36*t[37] - (34*t[38])/3 + t[39]/3 - (158*t[40])/3 + (95*t[41])/6 - 
       (19*t[42])/6 - (119*t[43])/2 - 26*t[44] - (244*t[45])/3 + 2*t[46] + 
       117*t[47] - (5231*t[48])/48 + (1123*t[49])/12 - (3127*t[50])/48 - 
       (1631*t[51])/24 + (4615*t[52])/48 - (1123*t[53])/12 - 
       (4865*t[54])/48 - (7*t[56])/3 - (28*t[57])/3 + (2*t[58])/3 - 
       (25*t[59])/2 - (653*t[60])/8 - (17791*t[61])/24 + (11785*t[62])/48 + 
       (4207*t[63])/48 + (7109*t[64])/48 + (4685*t[65])/24 - 
       (10073*t[66])/24 + 12*t[67] + (8*t[68])/3 + 4*t[69] - (88*t[70])/3 + 
       (88*t[71])/3 - 62*t[72] + 48*t[73] - 6*t[74] - 208*t[75] + 
       (622*t[76])/3 - 50*t[77] - (1178*t[78])/3 + 190*t[79] + 
       (124*t[80])/3 + 85*t[81] + 13*t[82] + 124*t[83] - (2233*t[84])/24 + 
       (5567*t[85])/24 + (230*t[86])/3 - (1939*t[87])/8 - (1939*t[88])/16 - 
       (983*t[89])/16 + (4*t[90])/3 + (20*t[92])/3 - 12*t[93] - 
       (34*t[94])/3 + 20*t[97] + 1148*t[98] - 1316*t[99] - 204*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*
      ((-33*t[1])/2 + (109*t[2])/4 + 15*t[3] - 40*t[4] - 19*t[5] + 118*t[6] - 
       (231*t[7])/8 + (903*t[8])/8 - (309*t[9])/8 + (51*t[10])/8 - 
       (93*t[11])/8 - (113*t[12])/2 - (1797*t[13])/16 + (2627*t[14])/24 - 
       (681*t[15])/16 - (21*t[17])/2 - 8*t[18] + 108*t[20] - 6*t[21] + 
       6*t[23] + 6*t[24] - 9*t[25] + 12*t[26] - 27*t[27] + 72*t[28] - 
       12*t[29] - 40*t[30] + 12*t[31] - 12*t[32] + 6*t[33] - 6*t[34] - 
       6*t[38] + 42*t[39] - 36*t[40] + (5*t[41])/2 - (11*t[42])/2 + 
       (45*t[43])/8 - 27*t[44] - (37*t[45])/4 - 27*t[46] + (29*t[47])/2 + 
       (365*t[48])/8 + (155*t[49])/2 + (5*t[50])/8 - (149*t[51])/4 + 
       (523*t[52])/8 - (155*t[53])/2 - (349*t[54])/8 + 4*t[59] + 79*t[60] + 
       (335*t[61])/2 - (61*t[62])/2 + (165*t[63])/2 - (759*t[64])/4 - 
       94*t[65] + (5*t[66])/3 + 12*t[70] - 12*t[71] + 6*t[74] - 12*t[76] + 
       12*t[77] + 12*t[78] - 36*t[80] + 6*t[81] - 4*t[82] + 9*t[84] - 
       15*t[85] - 87*t[86] - 3*t[87] - (3*t[88])/2 - (7*t[89])/2 - 3*t[92] + 
       3*t[94] - 72*t[98] + 108*t[99] - 198*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*
      ((3*t[1])/2 + (39*t[2])/2 - (785*t[3])/8 + (101*t[4])/4 - (73*t[5])/4 + 
       (531*t[7])/4 + (377*t[8])/4 + (439*t[9])/4 - (473*t[10])/8 + 
       (219*t[11])/4 - (489*t[12])/8 - (127*t[13])/24 + (3905*t[14])/48 + 
       (89*t[15])/16 + (9*t[17])/2 + 4*t[19] + 12*t[20] - 12*t[22] - 
       2*t[23] - 6*t[24] - (9*t[29])/2 + 3*t[30] - 72*t[31] + (41*t[32])/2 - 
       34*t[33] - 3*t[34] - 15*t[37] + 28*t[39] - 12*t[40] - (27*t[43])/2 - 
       (63*t[44])/4 + 6*t[45] - 9*t[47] + (251*t[48])/4 + (101*t[49])/8 + 
       (179*t[50])/4 - (165*t[51])/16 - (127*t[52])/4 - (101*t[53])/8 - 
       (151*t[54])/4 - 6*t[55] - 6*t[56] + (11*t[59])/2 + 243*t[60] + 
       (527*t[61])/2 - (781*t[62])/8 - (1671*t[63])/8 - (9*t[64])/4 + 
       (317*t[65])/4 - (737*t[66])/4 + 3*t[67] - 9*t[68] + 6*t[70] - 
       6*t[71] + 108*t[72] + 64*t[73] + 9*t[74] - 160*t[75] + 36*t[76] + 
       5*t[77] - 102*t[78] - 80*t[79] + 18*t[80] + 20*t[81] - 41*t[82] - 
       20*t[83] + (397*t[84])/4 + (127*t[85])/4 + 74*t[86] - (141*t[87])/4 + 
       (51*t[88])/8 + (409*t[89])/8 + 12*t[93] - 6*t[95] - 6*t[96] + 
       3*t[97] - 72*t[98] + 108*t[99] - 198*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      (t[1]/2 + 103*t[2] - (433*t[3])/4 - (435*t[4])/8 + (277*t[5])/16 + 
       (1355*t[6])/8 - 156*t[7] + (699*t[8])/2 - (619*t[9])/16 - 
       (2647*t[10])/16 - (477*t[11])/4 - (109*t[12])/2 - (290*t[13])/9 + 
       (10165*t[14])/96 + (2131*t[15])/288 - (5*t[17])/2 + (31*t[19])/2 - 
       16*t[20] + 17*t[21] + 26*t[22] - 17*t[23] + 47*t[24] - 4*t[26] + 
       24*t[27] + 22*t[28] - (43*t[29])/2 - 11*t[30] - 4*t[31] + 41*t[32] + 
       7*t[33] + 19*t[34] + 19*t[35] - 2*t[36] - (29*t[37])/2 - 4*t[38] + 
       20*t[39] - (59*t[40])/2 + (25*t[41])/2 - (25*t[42])/2 - 
       (101*t[43])/8 + (63*t[44])/4 - (33*t[45])/2 + 13*t[46] - 24*t[47] + 
       (917*t[48])/8 - (777*t[49])/16 - (607*t[50])/8 + (325*t[51])/32 + 
       (927*t[52])/8 + (649*t[53])/16 + 168*t[54] + (3*t[55])/4 + 4*t[56] - 
       10*t[57] + 3*t[59] + (1027*t[60])/8 + (989*t[61])/8 + 
       (1797*t[62])/16 + (195*t[63])/16 - (811*t[64])/16 - (277*t[65])/8 + 
       (3241*t[66])/24 + t[68] + 12*t[70] - 12*t[71] + 29*t[72] - 24*t[73] + 
       94*t[74] + 60*t[75] + (101*t[76])/4 + 10*t[77] - (35*t[78])/4 - 
       74*t[79] + 73*t[80] - (61*t[81])/2 + 39*t[82] - 95*t[83] + 
       (549*t[84])/8 - (19*t[85])/8 - (511*t[86])/2 + (135*t[87])/8 + 
       (1007*t[88])/16 - (861*t[89])/16 - t[91]/6 - 2*t[93] - 12*t[95] - 
       24*t[96] + 2*t[97] - 24*t[98] + 12*t[99] - 193*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-45*t[1])/2 + 66*t[2] - (691*t[3])/8 - (203*t[4])/8 - (283*t[5])/8 - 
       (423*t[6])/16 + (379*t[7])/8 - (1367*t[8])/8 + (1431*t[9])/8 + 
       (317*t[10])/16 - (1687*t[11])/16 - (867*t[12])/16 - 
       (24005*t[13])/144 + (5339*t[14])/96 + (2209*t[15])/144 - t[16] + 
       (3*t[17])/2 - 12*t[18] - (31*t[19])/2 - 24*t[20] - 29*t[21] + 
       19*t[22] + 29*t[23] - 3*t[24] + 4*t[25] - (31*t[26])/4 - 16*t[27] - 
       28*t[28] + (29*t[29])/2 - 27*t[30] + 2*t[31] - 3*t[32] - 28*t[33] - 
       25*t[35] + 18*t[36] + (29*t[37])/2 - (35*t[38])/2 + 10*t[39] - 
       20*t[40] - 14*t[41] + 8*t[42] + (55*t[43])/8 - (181*t[44])/4 + 
       (81*t[45])/4 + 7*t[46] - (121*t[47])/2 - (643*t[48])/16 + 
       (313*t[49])/16 + (649*t[50])/16 - (989*t[51])/32 + (167*t[52])/16 - 
       (297*t[53])/16 - (303*t[54])/16 + 2*t[56] - 2*t[57] - (7*t[58])/4 + 
       (51*t[59])/4 + (693*t[60])/8 - (427*t[61])/8 + (869*t[62])/16 + 
       (6219*t[63])/16 + (687*t[64])/16 - (2781*t[65])/8 + (1031*t[66])/8 - 
       2*t[68] + 16*t[70] - 16*t[71] - 37*t[72] + 14*t[74] - 36*t[75] + 
       (25*t[76])/4 - 6*t[77] + (113*t[78])/4 + 30*t[79] - 128*t[80] - 
       (3*t[81])/2 - 28*t[82] + 84*t[83] + (71*t[84])/8 + (403*t[85])/8 - 
       11*t[86] - (1295*t[87])/8 - (1295*t[88])/16 - (1329*t[89])/16 + 
       t[91]/6 - 2*t[93] + 8*t[97] - 24*t[98] + 12*t[99] - 193*t[100]) + 
     HPL[{0, 1}, 1 - v]*Qep[v, w, u]*((64*t[1])/3 - (80*t[2])/3 + 
       (106*t[3])/3 + (560*t[4])/3 - 60*t[5] - 67*t[6] + (56*t[7])/3 - 
       (208*t[8])/3 - (254*t[9])/3 - 56*t[10] + (529*t[11])/3 - 108*t[12] + 
       (3938*t[13])/27 - (731*t[14])/9 - (976*t[15])/27 + 8*t[30] + 8*t[32] - 
       8*t[33] - (208*t[34])/3 - (64*t[37])/3 + (64*t[38])/3 + 16*t[39] + 
       16*t[40] + 16*t[44] + (224*t[45])/3 - (160*t[47])/3 - (31*t[48])/3 - 
       (88*t[49])/3 + (73*t[50])/3 + (92*t[51])/3 - 67*t[52] + (88*t[53])/3 - 
       51*t[54] - (8*t[59])/3 + 158*t[60] + 342*t[61] - (191*t[62])/3 - 
       395*t[63] - 81*t[64] - (442*t[65])/9 - (4094*t[66])/9 - (64*t[69])/3 + 
       (128*t[72])/3 + (32*t[74])/3 + (128*t[75])/3 - 96*t[76] - 
       (32*t[77])/3 + 128*t[78] - 96*t[79] + (16*t[81])/3 - 32*t[82] - 
       (224*t[83])/3 + (230*t[84])/3 - 30*t[85] + (32*t[86])/3 + 
       (94*t[87])/3 + (47*t[88])/3 + 85*t[89] - (32*t[97])/3 - 512*t[98] + 
       512*t[99] - 192*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((-5*t[1])/4 - (135*t[2])/8 - (35*t[3])/8 + 
       21*t[4] + (57*t[5])/16 + (29*t[6])/4 - (15*t[7])/4 - (61*t[8])/2 - 
       (207*t[9])/16 + 2*t[10] + (359*t[11])/8 - (19*t[12])/16 + 
       (133*t[13])/18 + (451*t[14])/16 + (1589*t[15])/96 + (3*t[17])/4 - 
       t[19] + 3*t[20] - t[21] - 3*t[22] + t[23] - 2*t[27] + 2*t[28] - 
       (5*t[29])/2 - 4*t[30] - (15*t[32])/2 + 13*t[33] - (9*t[34])/2 + 
       4*t[35] - 4*t[36] - 6*t[37] - t[38] + t[39]/2 - (5*t[40])/4 - 
       (3*t[41])/4 + (3*t[42])/4 - (7*t[43])/2 - (35*t[44])/4 + 
       (11*t[45])/2 - (35*t[47])/2 + (15*t[48])/2 + (9*t[49])/4 + 
       (21*t[50])/2 - (7*t[51])/8 - 3*t[52] - (25*t[53])/4 - 15*t[54] - 
       (3*t[55])/2 - (11*t[59])/4 + (19*t[60])/8 + (465*t[61])/4 + 
       (17*t[62])/16 + (1131*t[63])/16 - (185*t[64])/8 - (11*t[65])/12 - 
       27*t[66] - (3*t[68])/2 + 4*t[69] + 6*t[72] - 2*t[73] + 8*t[75] - 
       (13*t[76])/2 + t[77] - (23*t[78])/2 + 4*t[79] - 12*t[80] + 
       (25*t[81])/4 - (35*t[82])/4 - 11*t[83] + 13*t[84] - (71*t[85])/8 - 
       42*t[86] - (341*t[87])/8 - (493*t[88])/16 - (141*t[89])/8 - 2*t[96] - 
       (5*t[97])/2 - 72*t[98] + 124*t[99] - 191*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      (t[1]/2 - (45*t[2])/8 - (105*t[3])/4 + (157*t[4])/8 - (259*t[5])/8 + 
       (189*t[6])/8 + (325*t[7])/8 + (309*t[8])/8 + (511*t[9])/8 - 
       (353*t[10])/16 + (605*t[11])/8 + (561*t[12])/16 + (417*t[13])/16 + 
       (2311*t[14])/32 - (251*t[15])/24 - (3*t[17])/4 + 5*t[19] + t[20] - 
       3*t[21] + 3*t[23] + (9*t[25])/2 + t[26] - (9*t[27])/2 + 2*t[29] + 
       4*t[30] - 2*t[31] + 3*t[32] - 3*t[33] - t[34] + 8*t[35] - 3*t[37] - 
       (13*t[38])/2 + 3*t[39] - 5*t[40] + (7*t[41])/2 - t[42]/2 + 
       (17*t[43])/8 - 7*t[44] + 10*t[45] - (19*t[46])/4 - 8*t[47] + 
       (15*t[48])/2 - (37*t[49])/16 + (75*t[51])/32 + 5*t[52] + 
       (37*t[53])/16 + (129*t[54])/8 + (3*t[58])/2 + (5*t[59])/2 + 
       (147*t[60])/2 + 241*t[61] - (149*t[62])/2 + (157*t[63])/2 + 
       (161*t[64])/8 - (215*t[65])/6 - (919*t[66])/6 + (3*t[67])/2 + 
       3*t[68] + 4*t[69] + 2*t[72] + t[74] + 2*t[75] - 11*t[76] + 19*t[78] + 
       8*t[79] + 13*t[80] + (19*t[81])/2 - 16*t[82] - 17*t[83] + 
       (83*t[84])/4 - (25*t[85])/2 - (65*t[86])/2 - 43*t[87] - (43*t[88])/2 - 
       (43*t[89])/4 + (3*t[92])/2 - (3*t[94])/2 - t[97] - 72*t[98] + 
       124*t[99] - 191*t[100]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-27*t[1])/4 - (43*t[2])/8 - (21*t[3])/2 + 
       (107*t[4])/2 - 45*t[5] + (27*t[6])/4 + (655*t[7])/16 + (241*t[8])/16 + 
       (769*t[9])/16 - (591*t[10])/16 + (881*t[11])/16 + (97*t[12])/4 + 
       (6173*t[13])/288 + (539*t[14])/16 - (889*t[15])/96 - (5*t[16])/2 - 
       (5*t[17])/4 + 3*t[18] + 2*t[19] + 4*t[20] + 5*t[21] - 5*t[23] + 
       3*t[24] + t[25]/2 - 5*t[26] + (3*t[27])/2 - 2*t[29] + 2*t[30] + 
       2*t[31] + 2*t[32] + 3*t[34] - 5*t[36] + t[38] - 2*t[40] + 
       (9*t[41])/4 - (3*t[42])/4 - (101*t[43])/16 + (3*t[44])/2 + 
       (97*t[45])/8 - 2*t[46] - (57*t[47])/4 - (105*t[48])/16 + 
       (13*t[49])/2 + (63*t[50])/16 + (47*t[51])/8 - (79*t[52])/16 - 
       (13*t[53])/2 - (63*t[54])/16 + t[58] - (9*t[59])/2 + 96*t[60] + 
       131*t[61] - (31*t[62])/4 + (61*t[63])/4 - 81*t[64] + (15*t[65])/2 - 
       97*t[66] + (5*t[67])/2 + (15*t[68])/2 - 6*t[70] + 6*t[71] + 2*t[72] + 
       2*t[74] + 4*t[76] - 4*t[77] + 14*t[78] - 23*t[80] + 15*t[81] - 
       18*t[82] + 12*t[83] + (39*t[84])/2 + 5*t[85] - (11*t[86])/2 - 
       56*t[87] - 28*t[88] + (87*t[89])/8 + (5*t[90])/2 + (5*t[92])/2 - 
       (5*t[94])/2 + 12*t[98] + 66*t[99] - 189*t[100]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-5*t[1])/4 - (9*t[2])/4 - (31*t[3])/16 + (335*t[4])/8 + (5*t[5])/4 + 
       (5*t[6])/8 - (23*t[7])/8 - (55*t[8])/8 - (13*t[9])/2 - 
       (407*t[10])/16 + 37*t[11] - (281*t[12])/16 + (4349*t[13])/144 + 
       (2587*t[14])/96 + (1127*t[15])/96 + (5*t[17])/4 - 2*t[19] - 2*t[20] - 
       2*t[21] + 2*t[22] + 2*t[23] - 2*t[24] - 4*t[27] + (9*t[29])/4 + 
       (17*t[30])/2 - (69*t[32])/4 + 5*t[33] + (5*t[34])/2 - (13*t[37])/2 + 
       t[39] + 5*t[40] - 3*t[41] + 3*t[42] + (3*t[43])/4 - (113*t[44])/8 + 
       2*t[45] - (21*t[47])/2 + (39*t[48])/4 + (175*t[49])/16 + (7*t[50])/4 - 
       (207*t[51])/32 - (29*t[52])/4 - (175*t[53])/16 - (59*t[54])/4 - 
       (5*t[55])/2 - (9*t[59])/4 + (141*t[60])/4 + (339*t[61])/4 + 
       (455*t[62])/16 + (189*t[63])/16 - (45*t[64])/8 - (839*t[65])/24 - 
       (2273*t[66])/24 - (5*t[68])/2 - 3*t[70] + 3*t[71] - 2*t[72] - 
       (3*t[74])/2 + t[76] + (5*t[77])/2 + 2*t[78] + 7*t[80] + (17*t[81])/2 - 
       14*t[82] + 2*t[83] + (131*t[84])/8 - (25*t[85])/8 - 17*t[86] - 
       (217*t[87])/8 - (449*t[88])/16 - (5*t[89])/16 + 3*t[95] + 7*t[96] - 
       (5*t[97])/2 + 12*t[98] + 66*t[99] - 189*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-44*t[1])/3 - (41*t[2])/6 - (43*t[3])/2 + (209*t[4])/6 - 
       (151*t[5])/12 + (85*t[6])/2 - (85*t[7])/6 + (27*t[8])/2 + 
       (275*t[9])/12 + (149*t[10])/12 + (95*t[11])/3 + (53*t[12])/2 - 
       (505*t[13])/18 + (1235*t[14])/72 + (1253*t[15])/72 - (4*t[17])/3 - 
       (2*t[18])/3 - (14*t[21])/3 + (10*t[23])/3 + (2*t[24])/3 - 6*t[31] + 
       (8*t[34])/3 - 2*t[37] + (11*t[41])/3 - (8*t[42])/3 - (17*t[43])/3 - 
       4*t[45] + (16*t[46])/3 - (34*t[47])/3 - (5*t[48])/3 + (13*t[49])/12 + 
       8*t[50] - (65*t[51])/24 - (32*t[52])/3 - (13*t[53])/12 - 
       (29*t[54])/6 + (4*t[59])/3 + (287*t[60])/3 - (23*t[61])/3 + 
       (278*t[62])/3 - (64*t[63])/3 - (377*t[64])/2 + (425*t[65])/9 + 
       (616*t[66])/9 + 6*t[67] + 28*t[69] - (8*t[70])/3 + (8*t[71])/3 - 
       (8*t[72])/3 - 2*t[73] + (64*t[74])/3 + 6*t[75] + (16*t[76])/3 + 
       2*t[77] + (10*t[78])/3 + 8*t[79] + (104*t[80])/3 + (26*t[81])/3 - 
       (34*t[82])/3 - (62*t[83])/3 + (31*t[84])/3 - (22*t[85])/3 - 
       (148*t[86])/3 - (158*t[87])/3 - (79*t[88])/3 - (9*t[89])/2 - 
       (4*t[94])/3 + 32*t[98] - 16*t[99] - 154*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-59*t[1])/3 - (22*t[3])/3 + 40*t[4] - (91*t[5])/12 + (15*t[6])/4 + 
       (65*t[7])/6 + (51*t[8])/2 + (57*t[9])/4 + (15*t[10])/2 + 
       (515*t[11])/12 + (545*t[12])/12 + (745*t[13])/54 + (305*t[14])/12 + 
       (113*t[15])/72 + (11*t[16])/3 + 6*t[25] + (20*t[26])/3 + 
       (14*t[36])/3 + t[37] - (50*t[38])/3 - (5*t[46])/3 + (125*t[48])/12 + 
       (13*t[49])/3 - (19*t[50])/12 - (151*t[51])/12 + (19*t[52])/12 + 
       (5*t[53])/3 - (317*t[54])/12 + (44*t[59])/3 + (143*t[60])/6 + 
       (425*t[61])/6 - (37*t[62])/12 - (55*t[63])/12 - (1447*t[64])/12 + 
       (526*t[65])/9 - (373*t[66])/9 + t[67]/3 + 6*t[69] - (4*t[70])/3 + 
       (4*t[71])/3 - (8*t[72])/3 - 2*t[73] + (16*t[74])/3 + 28*t[75] + 
       (16*t[76])/3 - (2*t[78])/3 + 8*t[79] + (14*t[80])/3 + t[81]/3 + 
       (11*t[82])/3 - (119*t[83])/3 + 28*t[84] + (107*t[85])/6 + 12*t[86] - 
       (191*t[87])/6 - (33*t[88])/4 + (57*t[89])/4 - (4*t[95])/3 + 
       (8*t[96])/3 + 32*t[98] - 16*t[99] - 154*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((26*t[2])/3 - (73*t[3])/2 + (43*t[4])/2 - (433*t[5])/12 + 
       (191*t[6])/6 + (367*t[7])/6 + (37*t[8])/6 + (339*t[9])/4 - 
       (271*t[10])/12 + (149*t[11])/6 + 7*t[12] + (188*t[13])/9 + 
       (1745*t[14])/24 - (955*t[15])/216 + 2*t[20] - 4*t[22] - 10*t[28] + 
       (10*t[29])/3 - (56*t[30])/3 - (8*t[32])/3 - (2*t[34])/3 + 6*t[35] - 
       2*t[37] - t[41] + t[42] + (14*t[44])/3 - (8*t[45])/3 + (2*t[47])/3 + 
       (43*t[48])/6 + (5*t[49])/12 + (43*t[50])/6 - (5*t[51])/24 - 
       (43*t[52])/6 - (5*t[53])/12 + (55*t[54])/3 + (20*t[59])/3 + 
       (671*t[60])/6 + (401*t[61])/6 - (85*t[62])/12 - (391*t[63])/12 - 
       (1687*t[64])/12 + (118*t[65])/9 - (493*t[66])/9 + t[67]/3 + 6*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 - (8*t[72])/3 - 2*t[73] + (16*t[74])/3 + 
       28*t[75] + (16*t[76])/3 - (2*t[78])/3 + 8*t[79] + (14*t[80])/3 + 
       t[81]/3 + (11*t[82])/3 - (119*t[83])/3 + 36*t[84] + (155*t[85])/6 + 
       12*t[86] - (335*t[87])/6 - (113*t[88])/4 + (73*t[89])/4 - 
       (4*t[95])/3 + (8*t[96])/3 + 32*t[98] - 16*t[99] - 154*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      (4*t[1] - (7*t[2])/2 + (205*t[3])/8 + (47*t[4])/2 + (49*t[5])/8 - 
       (421*t[6])/16 - (35*t[7])/4 - (13*t[8])/4 + (61*t[9])/4 - 
       (9*t[10])/4 + (809*t[11])/16 - (97*t[12])/8 + (220*t[13])/9 - 
       (2651*t[14])/144 - (3023*t[15])/144 - 3*t[20] + 3*t[22] - 6*t[28] + 
       (21*t[29])/2 - 15*t[30] - 4*t[31] + 11*t[32] - 14*t[33] - 11*t[34] + 
       11*t[35] - 3*t[36] - 6*t[37] + 2*t[38] + 2*t[39] + t[40] - t[43]/2 - 
       16*t[44] + 7*t[45] - 5*t[47] - (159*t[48])/16 + (9*t[49])/2 - 
       (15*t[50])/16 - (3*t[51])/4 - (49*t[52])/16 - (9*t[53])/2 - 
       (441*t[54])/16 - (20*t[59])/3 + (395*t[60])/8 + (101*t[61])/24 - 
       (1259*t[62])/16 - (1541*t[63])/16 + (871*t[64])/16 - (3263*t[65])/72 - 
       (11273*t[66])/72 - 2*t[69] + 12*t[72] - 9*t[74] - 31*t[75] - t[76] - 
       4*t[77] - 23*t[78] + 26*t[79] - t[81] - 8*t[82] + 24*t[83] + 
       (9*t[84])/8 + (61*t[85])/8 + 74*t[86] - (243*t[87])/8 - 
       (243*t[88])/16 - (311*t[89])/16 - t[97] - 12*t[98] + 24*t[99] - 
       141*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-20*t[1])/3 + (35*t[2])/3 + (835*t[3])/24 - 110*t[4] + (230*t[5])/3 + 
       (1255*t[6])/48 - 50*t[7] + (175*t[8])/6 + (85*t[9])/8 + (45*t[10])/2 - 
       (3095*t[11])/48 + (145*t[12])/3 - (465*t[13])/8 + (4205*t[14])/144 - 
       (2285*t[15])/108 + (25*t[29])/6 - (40*t[30])/3 - (40*t[31])/3 - 
       5*t[32] + 5*t[33] + (115*t[34])/3 - 10*t[36] - (40*t[38])/3 - 
       (25*t[39])/3 - (35*t[40])/3 - (20*t[43])/3 - (95*t[44])/3 - 
       (140*t[45])/3 + (100*t[47])/3 - (415*t[48])/48 + (95*t[49])/3 - 
       (765*t[50])/16 - (155*t[51])/6 + (3575*t[52])/48 - (95*t[53])/3 + 
       (215*t[54])/48 - (25*t[59])/6 - (455*t[60])/24 - (2005*t[61])/8 - 
       (8815*t[62])/48 + (5*t[63])/16 + (10045*t[64])/48 - (7085*t[65])/72 + 
       (65*t[66])/8 - 10*t[74] - 60*t[75] + (230*t[76])/3 + (20*t[77])/3 - 
       (440*t[78])/3 + 80*t[79] + 20*t[80] + (10*t[81])/3 + (35*t[82])/3 + 
       80*t[83] - (1405*t[84])/24 + (775*t[85])/24 + (700*t[86])/3 - 
       (635*t[87])/8 - (635*t[88])/16 - (4565*t[89])/48 + (20*t[97])/3 + 
       380*t[98] - 380*t[99] - 140*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((-20*t[1])/3 + (70*t[2])/3 - 
       (245*t[3])/24 - (265*t[4])/12 - (2025*t[5])/16 + (105*t[6])/4 + 
       (2425*t[7])/24 - (1705*t[8])/24 + (13595*t[9])/48 - (775*t[10])/8 - 
       (1435*t[11])/24 + (2695*t[12])/48 - (18145*t[13])/216 + 
       (7345*t[14])/48 - (7535*t[15])/96 - 5*t[22] - (40*t[27])/3 + 
       (80*t[28])/3 + (40*t[29])/3 - (70*t[30])/3 + (40*t[32])/3 - 
       (40*t[33])/3 + (160*t[34])/3 + 20*t[35] - (40*t[38])/3 + 
       (80*t[39])/3 - (100*t[40])/3 - (5*t[41])/6 + (5*t[42])/6 - 
       (25*t[43])/3 - (40*t[44])/3 - (125*t[45])/6 - 5*t[46] - 5*t[47] + 
       (80*t[48])/3 + (55*t[49])/3 - (75*t[51])/4 + 40*t[52] - (55*t[53])/3 + 
       40*t[54] + (5*t[59])/2 + (230*t[60])/3 + (475*t[61])/3 - 
       (1315*t[62])/12 + (2195*t[63])/12 - (565*t[64])/4 - (785*t[65])/36 - 
       (2095*t[66])/36 + (140*t[76])/3 + 15*t[77] - (80*t[78])/3 + 
       (25*t[80])/3 + 20*t[81] - (45*t[82])/2 - 10*t[84] + (130*t[85])/3 - 
       15*t[86] - (290*t[87])/3 - (145*t[88])/3 - 45*t[89] + (20*t[97])/3 + 
       380*t[98] - 380*t[99] - 140*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*(24*t[98] - 12*t[99] - 
       140*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*((9*t[59])/2 + (275*t[60])/8 + (461*t[61])/8 - 
       (565*t[62])/16 + (837*t[63])/16 + (1005*t[64])/16 - (1123*t[65])/24 - 
       (1681*t[66])/24 - 8*t[69] + 14*t[72] - 8*t[74] + 4*t[75] + 26*t[76] - 
       2*t[77] + 29*t[78] - 4*t[79] + 17*t[80] + 9*t[81] - 17*t[82] - 
       22*t[83] + (131*t[84])/8 - (105*t[85])/8 + (5*t[86])/2 - 
       (223*t[87])/8 - (223*t[88])/16 - (23*t[89])/16 + t[91]/6 + 2*t[93] + 
       t[97] + 24*t[98] - 12*t[99] - 140*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (48*t[98] - 12*t[99] - 138*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((-3*t[59])/2 + 
       (417*t[60])/4 + (279*t[61])/4 - (29*t[62])/8 + (417*t[63])/8 - 
       (413*t[64])/8 + (123*t[65])/4 - (1021*t[66])/12 + t[67] + 3*t[68] - 
       4*t[70] + 4*t[71] - 2*t[73] + 6*t[76] + 4*t[77] + 25*t[78] + 6*t[79] + 
       33*t[80] + 22*t[81] - 7*t[82] - 2*t[83] + 15*t[84] + (49*t[85])/2 - 
       (41*t[86])/2 - (111*t[87])/2 - (111*t[88])/4 - (25*t[89])/8 + t[92] - 
       t[94] + 2*t[97] + 48*t[98] - 12*t[99] - 138*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*
      ((25*t[1])/2 - (57*t[2])/2 + 20*t[3] + (549*t[4])/4 - (101*t[5])/8 + 
       (135*t[6])/4 + (121*t[7])/2 + (383*t[8])/2 - (731*t[9])/8 + 
       (183*t[10])/4 - (287*t[11])/4 - (543*t[12])/8 - (4753*t[13])/36 - 
       (595*t[14])/16 + (445*t[15])/16 - 16*t[16] + 9*t[25] - 18*t[26] - 
       18*t[27] - 64*t[28] + 24*t[29] + 16*t[30] - 24*t[31] + 24*t[35] - 
       35*t[36] + 7*t[37] + 9*t[38] - 20*t[39] + 8*t[40] + 8*t[43] - 
       64*t[44] + 3*t[45] - (9*t[46])/2 - 6*t[47] + (327*t[48])/4 + 
       (151*t[49])/2 - (29*t[50])/4 - (487*t[51])/16 + (5*t[52])/4 - 
       92*t[53] - (31*t[54])/2 - (3*t[59])/2 - (289*t[60])/2 + 54*t[61] + 
       (33*t[62])/8 + (3387*t[63])/8 + 8*t[64] - (2681*t[65])/12 + 
       (3841*t[66])/12 + 15*t[68] + 6*t[70] - 6*t[71] - 80*t[72] - 64*t[73] + 
       3*t[74] + 160*t[75] - 92*t[76] - 21*t[77] + 138*t[78] + 80*t[79] - 
       62*t[80] - 51*t[81] + 62*t[82] + 20*t[83] - (519*t[84])/4 - 
       (431*t[85])/4 - 86*t[86] + (281*t[87])/4 + (473*t[88])/8 - 
       (1057*t[89])/8 - 12*t[93] - 6*t[95] - 6*t[96] + 3*t[97] - 456*t[98] + 
       588*t[99] - 138*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 
       1 - w]*((-73*t[1])/2 + (15*t[2])/2 - 38*t[3] - (475*t[4])/4 - 
       (467*t[5])/8 + (39*t[6])/2 + (5*t[7])/2 + (115*t[8])/2 + 
       (531*t[9])/8 - (97*t[10])/4 + (141*t[11])/2 + (1419*t[12])/8 + 
       (1793*t[13])/36 + (6631*t[14])/48 + (257*t[15])/48 + 9*t[16] + 
       11*t[25] + 28*t[26] + 6*t[27] + 64*t[28] - 24*t[29] - 16*t[30] + 
       8*t[31] - 24*t[35] + 15*t[36] - 3*t[37] - 39*t[38] + 20*t[39] - 
       10*t[40] - 8*t[43] + 64*t[44] + 3*t[45] + (59*t[46])/2 - 6*t[47] - 
       (53*t[48])/2 - (241*t[49])/2 - (23*t[50])/2 + (201*t[51])/16 + 
       (11*t[52])/2 + 104*t[53] + (339*t[54])/4 + (51*t[59])/2 + 144*t[60] + 
       (761*t[61])/2 - (1721*t[62])/8 - (747*t[63])/8 + (9*t[64])/4 + 
       (899*t[65])/12 - (2239*t[66])/12 - t[67] - 9*t[68] + 4*t[69] + 
       2*t[70] - 2*t[71] + 136*t[72] + 64*t[73] + t[74] - 160*t[75] - 
       28*t[76] - 7*t[77] - 22*t[78] - 80*t[79] - 14*t[80] + 11*t[82] - 
       20*t[83] + (385*t[84])/4 - (157*t[85])/4 + 74*t[86] + (231*t[87])/4 + 
       (423*t[88])/8 + (5*t[89])/8 + 12*t[93] - 6*t[95] - 6*t[96] + 3*t[97] - 
       456*t[98] + 588*t[99] - 138*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*((-69*t[1])/8 + 
       (41*t[2])/8 - (107*t[3])/4 + (281*t[4])/8 - (253*t[5])/8 + 
       (163*t[6])/4 - (657*t[7])/8 + (217*t[8])/8 + 16*t[9] + 
       (2851*t[10])/16 - (403*t[11])/2 - (363*t[12])/16 - (4487*t[13])/48 + 
       (173*t[14])/32 - (133*t[15])/48 + 2*t[18] + 3*t[19] - 3*t[21] - 
       (5*t[22])/2 + 3*t[23] - 3*t[25] - t[26]/4 + t[28] + 6*t[29] - 
       18*t[30] - 24*t[31] - t[32] + t[33]/2 - (7*t[34])/4 - 18*t[35] + 
       9*t[37] + 3*t[38] - t[39]/2 + t[40] + (9*t[41])/8 - (13*t[42])/8 - 
       (291*t[43])/8 + 13*t[44] + (61*t[45])/4 - 2*t[46] - 39*t[47] + 
       (65*t[48])/2 - (13*t[49])/16 - 4*t[50] + (69*t[51])/32 + 
       (11*t[52])/4 + (13*t[53])/16 + (75*t[54])/8 - t[58]/4 - (51*t[59])/8 - 
       (281*t[60])/8 - (1609*t[61])/8 + (3371*t[62])/16 - (1699*t[63])/16 - 
       (4659*t[64])/16 + (421*t[65])/8 + (8255*t[66])/24 + 15*t[69] + 
       30*t[73] + 4*t[74] - 35*t[75] + (7*t[76])/4 - 23*t[77] - t[78] + 
       10*t[79] - (401*t[80])/2 + (27*t[81])/4 - (129*t[82])/4 - 
       (23*t[83])/2 + (29*t[84])/8 - (127*t[85])/8 - 124*t[86] + 
       (311*t[87])/8 + (311*t[88])/16 + (415*t[89])/16 + t[97]/4 + 12*t[98] - 
       24*t[99] - (273*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*(4*t[1] - (57*t[2])/2 - (273*t[3])/8 - 
       (181*t[4])/8 - 24*t[5] + (1103*t[6])/8 - (837*t[7])/4 + 
       (1447*t[8])/4 - (185*t[9])/4 + (1339*t[10])/16 - (1377*t[11])/8 - 
       (97*t[12])/16 - (1121*t[13])/72 + (173*t[14])/96 - (1381*t[15])/72 - 
       6*t[19] + 3*t[20] - 3*t[22] + 2*t[23] + (127*t[29])/4 - 5*t[30] - 
       18*t[31] + t[32] - (3*t[34])/2 - 23*t[35] - 6*t[36] + t[37] + 
       t[38]/4 - 11*t[39] + (39*t[40])/4 - (11*t[41])/4 + (11*t[42])/4 + 
       (13*t[43])/2 - (97*t[44])/2 - 6*t[46] + t[47]/2 + (749*t[48])/8 + 
       (181*t[49])/16 - (757*t[50])/8 - (33*t[51])/32 + (753*t[52])/8 - 
       (165*t[53])/16 + (563*t[54])/4 + 5*t[59] - (11*t[60])/4 - 
       (187*t[61])/2 + (1313*t[62])/8 + (501*t[63])/8 + (623*t[64])/4 + 
       (2915*t[65])/12 + (3857*t[66])/12 - (3*t[67])/2 - t[69] - 12*t[73] - 
       25*t[74] - 35*t[76] + t[77]/2 + t[78]/2 + 108*t[79] + 73*t[80] + 
       (35*t[81])/2 - 5*t[82] + (21*t[83])/2 + (351*t[84])/4 + 59*t[85] + 
       7*t[86] + 5*t[87] + (65*t[88])/2 + (1311*t[89])/8 + (3*t[94])/2 + 
       20*t[95] + (3*t[96])/2 + t[97] + 12*t[98] - 24*t[99] - 
       (273*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*(-2*t[1] - t[2] + (5*t[3])/8 - (3*t[4])/2 - 
       (153*t[5])/16 + 7*t[6] - t[7] + (35*t[8])/2 + (287*t[9])/16 - 
       (49*t[10])/4 - (75*t[11])/8 + (157*t[12])/16 - (71*t[13])/24 + 
       (707*t[14])/48 - (1061*t[15])/96 - 2*t[22] + 2*t[25] + 4*t[28] + 
       2*t[29] - 10*t[30] - t[32] + 4*t[35] - 2*t[38] - t[41]/2 + t[42]/2 - 
       (5*t[43])/8 - 8*t[44] - (9*t[45])/4 + (15*t[47])/2 + (49*t[48])/4 - 
       (5*t[49])/4 - (35*t[50])/4 + (5*t[51])/8 + (35*t[52])/4 + 
       (5*t[53])/4 + (45*t[54])/4 + t[59]/2 + 18*t[60] - 10*t[61] - 
       (17*t[62])/2 - 38*t[63] - (19*t[64])/2 + (139*t[65])/12 - 
       (271*t[66])/12 + 4*t[73] + 3*t[75] - t[77] + 6*t[80] - t[81] + t[82] - 
       10*t[83] + (13*t[84])/2 + 4*t[85] + 12*t[86] - 21*t[87] - 
       (21*t[88])/2 + (11*t[89])/2 + 24*t[98] - 8*t[99] - (273*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-3*t[1])/2 + 3*t[2] + (65*t[3])/8 - (29*t[4])/2 - t[5]/4 - 
       (203*t[6])/16 - (29*t[7])/2 - 10*t[8] + (57*t[9])/8 + (59*t[10])/2 - 
       (245*t[11])/16 + (35*t[12])/2 - (1325*t[13])/72 - (331*t[14])/48 - 
       (75*t[15])/8 - t[29]/2 + t[30] - 3*t[31] + t[34] - t[35] - 5*t[43] - 
       t[44]/4 + 3*t[46] - (29*t[48])/16 - (15*t[49])/4 + (27*t[50])/16 - 
       (3*t[51])/8 - (27*t[52])/16 + (15*t[53])/4 + (5*t[54])/16 + 
       (11*t[59])/2 + (147*t[60])/8 + (443*t[61])/8 - (47*t[62])/3 + 
       (353*t[63])/12 - (5747*t[64])/48 + (131*t[65])/18 - (8351*t[66])/72 - 
       t[67]/2 - t[69] + 2*t[74] - 4*t[75] + t[77] - 7*t[78] + 23*t[79] + 
       16*t[80] + (21*t[81])/2 - (35*t[82])/2 + (13*t[83])/6 + 
       (145*t[84])/24 - (469*t[85])/24 - (140*t[86])/3 - (241*t[87])/24 - 
       (241*t[88])/48 - (935*t[89])/48 + t[94]/2 + 3*t[96] + 2*t[97] + 
       24*t[98] - 8*t[99] - (273*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*(6*t[1] + (15*t[2])/2 - 
       (3*t[3])/4 - (321*t[4])/8 + (155*t[5])/16 - (91*t[6])/8 + 4*t[7] - 
       27*t[8] + (417*t[9])/16 - (337*t[10])/8 - (41*t[11])/8 + 
       (89*t[12])/16 + 21*t[13] - (403*t[14])/96 - (1105*t[15])/96 + 
       2*t[16] - (11*t[25])/2 - (7*t[26])/2 + 4*t[27] + 14*t[28] - 8*t[29] - 
       10*t[30] + 7*t[31] + (3*t[34])/2 + 4*t[35] + (11*t[36])/2 + t[37] + 
       8*t[38] + 6*t[39] - 4*t[40] - (3*t[41])/4 + (3*t[42])/4 + t[43] + 
       14*t[44] - (9*t[45])/2 + (19*t[46])/4 + 9*t[47] - (125*t[48])/8 - 
       (111*t[49])/4 + (35*t[50])/8 + (519*t[51])/32 - (7*t[52])/8 + 
       32*t[53] + 16*t[54] - t[58]/2 - (11*t[59])/2 + (37*t[60])/4 - 
       (367*t[61])/4 + (167*t[62])/16 - (1555*t[63])/16 + (231*t[64])/8 + 
       (1147*t[65])/24 - (513*t[66])/8 - (5*t[68])/2 - 3*t[70] + 3*t[71] + 
       15*t[72] + 16*t[73] - (3*t[74])/2 - 40*t[75] + 29*t[76] + 
       (19*t[77])/2 - (85*t[78])/2 - 20*t[79] + 30*t[80] + (13*t[81])/2 - 
       (19*t[82])/2 - 4*t[83] + (185*t[84])/8 + (287*t[85])/8 + 45*t[86] - 
       (77*t[87])/8 - (269*t[88])/16 + (383*t[89])/16 + 2*t[93] + 3*t[95] - 
       4*t[97] + 60*t[98] - 58*t[99] - 135*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      (7*t[1] + 2*t[3] + (295*t[4])/8 + (111*t[5])/16 + (75*t[6])/8 + 
       (69*t[7])/4 - (93*t[8])/4 + (33*t[9])/16 + (445*t[10])/8 - 
       (263*t[11])/8 - (759*t[12])/16 - (485*t[13])/24 - (1639*t[14])/96 - 
       (149*t[15])/96 - (3*t[16])/2 - (15*t[25])/2 + (9*t[26])/2 - 14*t[28] + 
       8*t[29] + 2*t[30] - 7*t[31] - (3*t[34])/2 - 4*t[35] - (3*t[36])/2 + 
       (3*t[37])/2 + 4*t[38] - 6*t[39] + t[40] + (3*t[41])/4 - (3*t[42])/4 + 
       3*t[43] - 8*t[44] + (7*t[45])/2 - (25*t[46])/4 - 7*t[47] - 
       (35*t[48])/8 + (173*t[49])/4 + (89*t[50])/8 - (469*t[51])/32 - 
       (37*t[52])/8 - 31*t[53] - (107*t[54])/4 + t[58]/2 - t[59] - 
       (19*t[60])/4 + (463*t[61])/4 + (255*t[62])/16 + (1293*t[63])/16 - 
       (717*t[64])/8 - (305*t[65])/8 + (311*t[66])/24 - t[67]/2 + 
       (3*t[68])/2 - 9*t[69] - 13*t[72] - 16*t[73] + (3*t[74])/2 + 42*t[75] + 
       7*t[76] + (5*t[77])/2 + (21*t[78])/2 + 19*t[79] + 14*t[80] - 3*t[81] + 
       t[82] - 4*t[83] + (31*t[84])/8 - (53*t[85])/8 - 38*t[86] - 
       (309*t[87])/8 - (245*t[88])/16 - (409*t[89])/16 - 2*t[93] + 3*t[95] + 
       4*t[96] + 3*t[97] + 60*t[98] - 58*t[99] - 135*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      (t[2] - (11*t[3])/8 - (9*t[4])/4 + (127*t[5])/16 + (9*t[6])/2 + 
       (51*t[7])/8 + (149*t[8])/8 - (223*t[9])/16 - (9*t[10])/8 + 
       (69*t[11])/8 - (63*t[12])/16 + (155*t[13])/24 - (51*t[14])/16 + 
       (2227*t[15])/288 + t[22] - 4*t[28] + 4*t[30] - 2*t[32] - 4*t[35] - 
       2*t[39] + t[41]/2 - t[42]/2 + 3*t[43] - (3*t[45])/2 + t[46] + 
       3*t[47] - (13*t[48])/4 - (3*t[49])/4 + (3*t[50])/4 + t[51]/8 - 
       (3*t[52])/4 + (3*t[53])/4 - t[54]/4 + t[59]/2 - 4*t[60] - t[61] - 
       (37*t[62])/4 - (23*t[63])/4 + (127*t[64])/4 - (19*t[65])/12 - 
       (101*t[66])/12 + 3*t[77] + 15*t[80] + (3*t[82])/2 + 25*t[86] - 
       3*t[89] + 12*t[98] + 24*t[99] - 130*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      (-t[1] - (67*t[3])/8 - (7*t[4])/2 - (19*t[5])/4 - (51*t[6])/16 + 
       (41*t[7])/2 - 15*t[8] + (83*t[9])/8 - (27*t[10])/4 + (107*t[11])/16 + 
       6*t[12] - (29*t[13])/72 + (43*t[14])/16 + (57*t[15])/8 - (7*t[29])/2 - 
       5*t[30] + 2*t[31] + t[34] + 2*t[36] + 2*t[37] + t[43] + 7*t[44] - 
       (53*t[48])/16 - (17*t[49])/4 + (131*t[50])/16 + (17*t[51])/8 - 
       (131*t[52])/16 + (17*t[53])/4 - (43*t[54])/16 - t[59] + 
       (199*t[60])/4 + 102*t[61] + (167*t[62])/8 + (705*t[63])/8 - 
       (79*t[64])/4 - (333*t[65])/4 - (241*t[66])/12 - 18*t[72] + 2*t[74] + 
       8*t[75] + 22*t[76] - 2*t[77] + 29*t[78] - 4*t[79] + 5*t[80] + 
       8*t[81] - 13*t[82] + 2*t[83] + 13*t[84] + (7*t[85])/2 - (67*t[86])/2 - 
       (65*t[87])/4 - (65*t[88])/8 - (67*t[89])/8 + t[91]/6 - 2*t[93] + 
       t[97] + 12*t[98] + 24*t[99] - 130*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-23*t[1])/2 + (70*t[2])/3 + (115*t[3])/12 + (5287*t[4])/48 - 
       (14285*t[5])/96 - (513*t[6])/16 + (3319*t[7])/24 - (1085*t[8])/6 + 
       (33127*t[9])/96 - (5769*t[10])/32 + (325*t[11])/4 + (629*t[12])/48 + 
       (19277*t[13])/432 + (18875*t[14])/192 - (164855*t[15])/1728 + 
       (5*t[17])/2 + (4*t[18])/3 + 4*t[19] + 7*t[20] - (139*t[22])/3 + 
       (11*t[23])/3 + 4*t[24] - (11*t[27])/3 + 10*t[28] + (13*t[29])/12 - 
       (179*t[30])/6 - t[31] - (101*t[32])/6 - (101*t[33])/6 + 
       (196*t[34])/3 + 15*t[35] - 4*t[37] - (91*t[38])/6 + (50*t[39])/3 - 
       (227*t[40])/12 - 2*t[41] + (10*t[42])/3 + (125*t[43])/16 - 
       (53*t[44])/24 - (791*t[45])/12 + (2*t[46])/3 + (137*t[47])/2 + 
       (1015*t[48])/48 + (3407*t[49])/96 + (91*t[50])/48 - (5323*t[51])/192 + 
       (277*t[52])/48 - (1029*t[53])/32 - (793*t[54])/24 - (13*t[55])/6 - 
       (13*t[56])/6 - (17*t[57])/3 + 8*t[59] + (1831*t[60])/16 + 
       (5011*t[61])/48 - (3835*t[62])/96 - (749*t[63])/96 - (3247*t[64])/32 + 
       (3167*t[65])/144 - (55843*t[66])/144 + t[67]/3 - (11*t[68])/2 + 
       5*t[69] - (16*t[70])/3 + (16*t[71])/3 - t[72] + 32*t[73] - 
       (11*t[74])/3 - 36*t[75] + (179*t[76])/2 - (2*t[77])/3 - 
       (212*t[78])/3 - 42*t[79] + (617*t[80])/6 + 55*t[81] - (275*t[82])/6 - 
       (15*t[83])/2 + (1097*t[84])/48 + (4849*t[85])/48 - (307*t[86])/12 - 
       (6457*t[87])/48 - (8569*t[88])/96 + (1873*t[89])/32 + t[90]/2 - 
       t[91]/12 + t[93] + (26*t[95])/3 + (35*t[96])/3 + (19*t[97])/3 + 
       524*t[98] - 588*t[99] - 122*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((37*t[1])/12 - (31*t[2])/4 + 
       (3817*t[3])/48 - (2533*t[4])/48 - (1117*t[5])/48 + (613*t[6])/32 - 
       (4013*t[7])/48 + (743*t[8])/48 + (2119*t[9])/48 - (1025*t[10])/32 + 
       (2803*t[11])/96 + (9365*t[12])/96 + (2347*t[13])/96 - 
       (31475*t[14])/576 - (54239*t[15])/864 - (5*t[16])/6 - t[17]/3 + 
       (14*t[18])/3 + 5*t[19] - t[20] - (5*t[21])/3 - 15*t[22] - 9*t[23] + 
       (26*t[24])/3 - 13*t[25] + (4*t[26])/3 - 2*t[27] - 6*t[28] - 
       (245*t[29])/12 - 43*t[30] - 2*t[31] - (109*t[32])/6 + (45*t[33])/2 + 
       (161*t[34])/6 + 7*t[35] - (26*t[36])/3 - 14*t[37] - 6*t[38] - 
       (23*t[39])/6 - (139*t[40])/6 + (73*t[41])/12 - (3*t[42])/4 - 
       (371*t[43])/16 - (473*t[44])/24 - (721*t[45])/24 - (5*t[46])/2 + 
       (401*t[47])/12 - (3853*t[48])/96 + (1711*t[49])/32 - (4105*t[50])/96 - 
       (5783*t[51])/192 + (5881*t[52])/96 - (1727*t[53])/32 - 
       (4513*t[54])/96 - (3*t[56])/2 - 3*t[57] - (2*t[58])/3 - 
       (65*t[59])/12 - 9*t[60] - (3803*t[61])/12 + (1931*t[62])/24 + 
       (345*t[63])/8 + (571*t[64])/24 + (1013*t[65])/18 - (901*t[66])/4 + 
       (13*t[67])/3 - (17*t[68])/6 + 6*t[69] - (32*t[70])/3 + (32*t[71])/3 - 
       18*t[72] + 16*t[73] - 10*t[74] - 94*t[75] + (283*t[76])/3 - 
       (125*t[77])/6 - (554*t[78])/3 + 91*t[79] + (44*t[80])/3 + 
       (83*t[81])/2 + (19*t[82])/6 + 56*t[83] - (253*t[84])/6 + 
       (1291*t[85])/12 + (38*t[86])/3 - (1753*t[87])/12 - (1753*t[88])/24 - 
       (1021*t[89])/24 + t[90]/2 + 2*t[92] - 4*t[93] - 4*t[94] + 
       (61*t[97])/6 + 524*t[98] - 588*t[99] - 122*t[100]) + 
     HPL[{0, 1}, 1 - v]*Qep[w, u, v]*((128*t[1])/9 - (272*t[2])/9 - 
       (128*t[3])/9 + (296*t[4])/3 - (800*t[5])/9 + (536*t[6])/9 - 72*t[7] + 
       (2272*t[8])/9 - 64*t[9] - (20*t[10])/3 + (152*t[11])/9 - 
       (460*t[12])/9 + (1040*t[13])/27 + (526*t[14])/27 + (1388*t[15])/81 + 
       (232*t[29])/9 + (40*t[30])/9 + (64*t[31])/9 + (8*t[32])/3 - 
       (8*t[33])/3 - (256*t[34])/9 - (32*t[36])/3 - (64*t[37])/3 + 
       (64*t[38])/9 - (8*t[39])/9 + (104*t[40])/9 + (32*t[43])/9 - 
       (256*t[44])/9 + (224*t[45])/9 - (160*t[47])/9 + (664*t[48])/9 + 
       (28*t[49])/9 - (40*t[50])/3 + (34*t[51])/9 - (8*t[52])/9 - 
       (28*t[53])/9 + (616*t[54])/9 + (80*t[59])/9 + (640*t[60])/9 + 
       (872*t[61])/3 + (232*t[62])/9 - (160*t[63])/3 + (32*t[64])/9 + 
       (424*t[65])/27 - (280*t[66])/3 - (64*t[69])/3 + (128*t[75])/3 - 
       (416*t[76])/9 - (32*t[77])/9 + (896*t[78])/9 - (128*t[79])/3 + 
       (64*t[80])/3 + (32*t[81])/9 - (320*t[82])/9 - (128*t[83])/3 + 
       (152*t[84])/9 + (88*t[85])/9 - (256*t[86])/9 + (704*t[89])/9 - 
       (32*t[97])/9 - (320*t[98])/3 + (320*t[99])/3 - (352*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]^2*((5*t[3])/2 + (9*t[4])/2 + 
       (13*t[5])/2 + (19*t[6])/2 - 6*t[7] + 10*t[8] + 17*t[9] - (5*t[10])/4 - 
       7*t[11] - (5*t[12])/4 - (3*t[13])/2 + (67*t[14])/24 - (67*t[15])/6 + 
       6*t[28] - 4*t[30] - 2*t[31] + 4*t[39] - t[43] - 6*t[44] - 2*t[45] - 
       3*t[46] + 6*t[47] + 7*t[48] + (13*t[49])/4 - 5*t[50] + t[51]/8 + 
       5*t[52] - (13*t[53])/4 + (3*t[54])/2 + 2*t[60] + 4*t[61] - 4*t[62] - 
       4*t[63] - 4*t[64] + (14*t[65])/3 + 2*t[89] - 48*t[98] + 78*t[99] - 
       (225*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]^2*
      (-3*t[2] + t[3] + (29*t[4])/2 - 13*t[5] + t[6]/2 - 20*t[7] - 7*t[8] - 
       (5*t[9])/2 + (51*t[10])/4 - (9*t[11])/2 - (27*t[12])/4 + 
       (155*t[13])/36 - (109*t[14])/24 - (25*t[15])/3 + 2*t[28] - 2*t[31] - 
       2*t[32] + 2*t[33] + 2*t[35] - 6*t[36] - 3*t[43] - 2*t[44] + t[46] + 
       (5*t[48])/2 + (29*t[49])/4 - (13*t[50])/2 - (23*t[51])/8 + 
       (13*t[52])/2 - (29*t[53])/4 - 3*t[54] - 2*t[59] + 43*t[60] + 
       45*t[61] - (329*t[62])/8 - (275*t[63])/8 - (35*t[64])/4 - 31*t[65] - 
       (551*t[66])/6 + t[67] + 7*t[72] + 5*t[74] - 11*t[76] + 12*t[78] - 
       8*t[80] + (15*t[81])/2 - (17*t[82])/2 + 12*t[83] - (7*t[84])/4 - 
       (19*t[85])/2 - t[86] - 12*t[87] - 6*t[88] - (21*t[89])/2 - 2*t[95] - 
       t[96] - 48*t[98] + 78*t[99] - (225*t[100])/2) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      ((1041*t[3])/8 - 40*t[4] + 189*t[5] - (2409*t[6])/8 + (767*t[7])/4 - 
       (1241*t[8])/2 - (645*t[9])/4 - 2*t[10] + (2387*t[11])/8 - 52*t[12] - 
       (7*t[13])/12 - (3655*t[14])/24 + (3701*t[15])/48 - 45*t[29] - 
       6*t[30] + 6*t[34] - 8*t[37] + 18*t[39] - 15*t[40] + (135*t[44])/2 + 
       8*t[46] - (1023*t[48])/8 - 14*t[49] + (1341*t[50])/8 + t[51] - 
       (1341*t[52])/8 + (31*t[53])/2 - (2259*t[54])/8 - 16*t[59] - 
       323*t[60] + 282*t[61] - (2737*t[62])/8 + (2661*t[63])/8 - 
       (63*t[64])/8 - (751*t[65])/6 - (1263*t[66])/4 - 56*t[69] + 40*t[70] - 
       40*t[71] - 4*t[73] + 16*t[74] - 4*t[75] + 45*t[76] - 80*t[78] + 
       22*t[79] - 20*t[80] - 90*t[81] - 8*t[82] + 4*t[83] - (193*t[84])/4 - 
       (335*t[85])/4 - 42*t[86] + (181*t[87])/4 + (181*t[88])/8 - 
       (521*t[89])/2 + 40*t[99] - 110*t[100]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*(36*t[1] + 78*t[3] - (207*t[4])/2 + 
       (729*t[5])/8 - (669*t[6])/8 + (183*t[7])/2 - (477*t[8])/4 - 
       (663*t[9])/8 - (1137*t[10])/4 + (1377*t[11])/4 + (507*t[12])/8 + 
       (5197*t[13])/48 - (203*t[14])/8 - (283*t[15])/16 - 3*t[22] + 3*t[32] + 
       (231*t[43])/4 - (93*t[45])/4 + (111*t[47])/2 + 36*t[59] - 51*t[60] + 
       612*t[61] - (3153*t[62])/8 + (2037*t[63])/8 + (4557*t[64])/8 - 
       (86*t[65])/3 - (1545*t[66])/2 + 78*t[77] + 339*t[80] + 36*t[82] - 
       16*t[83] - (9*t[86])/2 - (441*t[89])/4 + 40*t[99] - 110*t[100]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u]*(7*t[3] - 29*t[4] + (93*t[5])/2 - 
       t[6] + (39*t[7])/2 + (5*t[8])/2 - 31*t[9] - (143*t[10])/2 + 33*t[11] - 
       (33*t[12])/2 + (199*t[13])/18 - (37*t[14])/6 + (34*t[15])/3 + 
       (39*t[43])/2 - 3*t[45] + 6*t[47] - 20*t[60] + 6*t[61] - 40*t[62] + 
       8*t[63] + 156*t[64] - (74*t[65])/3 - 66*t[66] + 2*t[77] + 64*t[80] + 
       2*t[82] + 104*t[86] - 14*t[89] - 108*t[100]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - v]*(-12*t[3] - 12*t[4] - 12*t[5] - 
       (45*t[6])/2 + 74*t[7] - 100*t[8] + 44*t[9] - 9*t[10] + (43*t[11])/2 + 
       11*t[12] - t[13] - 6*t[14] + (49*t[15])/6 - (25*t[29])/2 - 4*t[30] + 
       t[39] - t[40] + 38*t[44] - (41*t[48])/2 - 9*t[49] + (73*t[50])/2 + 
       (9*t[51])/2 - (73*t[52])/2 + 7*t[53] - (43*t[54])/2 - 96*t[60] + 
       89*t[61] - (661*t[62])/4 - (27*t[63])/4 + 366*t[64] + 94*t[65] - 
       (287*t[66])/3 - 12*t[69] - 12*t[70] + 12*t[71] + 26*t[76] - 30*t[78] + 
       48*t[79] + 60*t[80] + 24*t[81] - 22*t[82] - 16*t[83] + 18*t[84] - 
       15*t[85] + 26*t[86] + 107*t[87] + (107*t[88])/2 + (125*t[89])/2 - 
       108*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-13*t[1])/4 + (69*t[2])/4 - (27*t[3])/2 + (317*t[4])/4 - 
       (267*t[5])/8 + 32*t[6] - (331*t[7])/8 + (11*t[8])/8 + (325*t[9])/8 - 
       (239*t[10])/8 + 62*t[11] + (53*t[12])/8 + (1165*t[13])/18 + 
       (231*t[14])/8 + (21*t[15])/4 - 6*t[18] + 8*t[19] - 6*t[21] + 3*t[22] + 
       (13*t[23])/2 - 18*t[31] + 20*t[35] - 14*t[37] + t[41]/4 - 
       (3*t[42])/4 - (27*t[43])/8 - 12*t[44] - (51*t[45])/4 - 12*t[46] + 
       22*t[47] - (53*t[48])/4 - t[49] + (95*t[50])/4 + (7*t[51])/2 - 
       (83*t[52])/4 + t[53] - (87*t[54])/4 + 14*t[59] + 17*t[60] + 
       (327*t[61])/4 - 5*t[62] + (27*t[63])/4 - (381*t[64])/2 - 
       (115*t[65])/6 - 52*t[66] + 14*t[69] - 4*t[70] + 4*t[71] - 4*t[74] - 
       6*t[75] - t[77] - 20*t[79] - 17*t[80] + 5*t[81] - 17*t[82] + 
       25*t[83] + (7*t[84])/2 - 14*t[85] - 32*t[86] + 5*t[87] + (5*t[88])/2 - 
       (103*t[89])/4 + 24*t[99] - 108*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*((13*t[2])/4 - (105*t[3])/2 + 83*t[4] + 
       (65*t[5])/4 + (471*t[6])/8 - (187*t[7])/4 + 23*t[8] + (81*t[9])/4 - 
       (41*t[10])/2 + (525*t[11])/8 - (11*t[12])/4 + (971*t[13])/12 + 
       (2149*t[14])/24 + (149*t[15])/4 - 2*t[18] + 6*t[20] - 6*t[22] + 
       18*t[28] - (25*t[29])/2 - (3*t[30])/4 - (75*t[32])/4 + (75*t[33])/4 + 
       (3*t[34])/2 - 16*t[35] - 12*t[36] - 6*t[37] - 3*t[41] + 3*t[42] - 
       6*t[43] - (39*t[44])/2 - 6*t[47] + (63*t[48])/8 + 11*t[49] - 
       (99*t[50])/8 - (11*t[51])/2 + (99*t[52])/8 - 11*t[53] + (19*t[54])/8 + 
       (67*t[59])/4 + (463*t[60])/4 + (483*t[61])/4 + 108*t[62] - 
       (329*t[63])/4 - (1351*t[64])/4 - (79*t[65])/2 - 150*t[66] + 14*t[69] - 
       4*t[70] + 4*t[71] + 8*t[74] - 2*t[75] + 12*t[77] + 12*t[78] - 
       10*t[79] - 18*t[80] + 14*t[81] - 14*t[82] - 35*t[83] + 23*t[84] + 
       10*t[85] - 152*t[86] - (333*t[87])/4 - (327*t[88])/8 + (71*t[89])/8 + 
       24*t[99] - 108*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*((10*t[1])/3 - (10*t[2])/3 + (1447*t[3])/24 - 
       5*t[4] + (113*t[5])/3 - (899*t[6])/48 - 75*t[7] - (149*t[8])/6 - 
       (641*t[9])/8 - 3*t[10] + (499*t[11])/48 - (44*t[12])/3 + 
       (247*t[13])/24 - (8305*t[14])/144 - (3763*t[15])/216 + (25*t[29])/6 - 
       (10*t[30])/3 - (16*t[31])/3 - 4*t[32] + 3*t[33] - (29*t[34])/3 - 
       6*t[36] - 10*t[37] - t[38]/3 - (4*t[39])/3 + (4*t[40])/3 - t[41] + 
       t[42] - (8*t[43])/3 - (55*t[44])/6 + (7*t[45])/3 - (11*t[47])/3 - 
       (37*t[48])/48 + (2*t[49])/3 - (255*t[50])/16 - t[51]/3 + 
       (797*t[52])/48 - (14*t[53])/3 - (907*t[54])/48 - (11*t[59])/3 - 
       (689*t[60])/24 - (439*t[61])/8 - (2005*t[62])/48 - (585*t[63])/16 + 
       (5455*t[64])/48 - (1067*t[65])/72 - (1427*t[66])/24 - 10*t[69] + 
       12*t[72] - 8*t[74] - 20*t[75] - t[76]/3 - (7*t[77])/3 - (86*t[78])/3 + 
       32*t[79] + 2*t[80] - (2*t[81])/3 - (13*t[82])/3 + 17*t[83] - 
       (259*t[84])/24 - (11*t[85])/24 + (232*t[86])/3 - (49*t[87])/8 - 
       (113*t[88])/16 - (1427*t[89])/48 + 4*t[95] - 6*t[96] - (13*t[97])/3 - 
       28*t[98] + 28*t[99] - 102*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-4*t[1])/3 + (109*t[2])/12 + (5*t[3])/6 + (135*t[4])/4 + 
       (79*t[5])/3 - (5*t[6])/6 - (17*t[7])/4 - (109*t[8])/12 - (97*t[9])/6 - 
       (517*t[10])/24 + (251*t[11])/4 + (179*t[12])/24 + (8551*t[13])/216 + 
       (179*t[14])/16 + (251*t[15])/27 + 4*t[20] - 4*t[22] + (79*t[29])/6 + 
       (4*t[30])/3 + 2*t[31] - (43*t[32])/6 - t[33]/3 - (5*t[34])/3 - 
       (2*t[37])/3 - t[38] + t[40]/6 - t[41]/3 + t[42]/3 - t[43]/3 - 
       t[44]/4 - 3*t[45] - t[46] + (5*t[47])/3 + (119*t[48])/12 - 
       (3*t[49])/8 - (23*t[50])/4 - (17*t[51])/16 + (15*t[52])/4 + 
       (3*t[53])/8 - (35*t[54])/2 - (2*t[59])/3 + (101*t[60])/6 + 
       (457*t[61])/6 + (345*t[62])/8 + (1351*t[63])/24 - (275*t[64])/12 + 
       (49*t[65])/36 - (1717*t[66])/36 + t[67]/3 + 2*t[69] - (8*t[70])/3 + 
       (8*t[71])/3 - 4*t[72] + 2*t[73] + 8*t[75] + (10*t[76])/3 + 
       (10*t[77])/3 + 7*t[78] + 2*t[79] - (10*t[80])/3 + (43*t[81])/6 - 
       (23*t[82])/6 - 32*t[83] - (11*t[84])/4 - 12*t[85] - (166*t[86])/3 - 
       56*t[87] - (124*t[88])/3 - (451*t[89])/24 + (28*t[95])/3 + 
       (8*t[96])/3 - t[97] + 24*t[98] - 16*t[99] - (203*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-5*t[1])/6 - (115*t[2])/12 - (233*t[3])/12 + (223*t[4])/4 - 
       (271*t[5])/8 - (163*t[6])/12 + (283*t[7])/8 + (1157*t[8])/24 + 
       60*t[9] + (641*t[10])/24 + (345*t[11])/4 + (725*t[12])/24 + 
       (1451*t[13])/27 + (1469*t[14])/36 - (419*t[15])/72 - (5*t[17])/6 + 
       (4*t[18])/3 - (4*t[19])/3 + (2*t[21])/3 + (4*t[22])/3 - (4*t[23])/3 + 
       2*t[24] + (4*t[25])/3 - (4*t[26])/3 - (4*t[27])/3 - 6*t[28] + 
       4*t[30] - 16*t[31] + (2*t[32])/3 - (2*t[33])/3 + (11*t[34])/3 - 
       14*t[35] - t[37] - (10*t[39])/3 - (7*t[40])/3 - 3*t[41] + 
       (7*t[42])/3 - (169*t[43])/8 - (2*t[44])/3 - (47*t[45])/4 - 
       (29*t[46])/6 + (245*t[47])/6 - (5*t[48])/12 + (47*t[49])/6 + 
       (175*t[50])/12 - (5*t[51])/8 - (155*t[52])/12 - (47*t[53])/6 - 
       (263*t[54])/12 + (2*t[58])/3 - 5*t[59] + (605*t[60])/12 + 
       (1807*t[61])/12 - (205*t[62])/2 - (71*t[63])/6 - (265*t[64])/24 + 
       (290*t[65])/9 - (4397*t[66])/36 + (4*t[67])/3 + 4*t[69] - 4*t[70] + 
       4*t[71] - (26*t[74])/3 + 5*t[76] - (4*t[77])/3 - (2*t[78])/3 + 
       10*t[79] + (133*t[80])/3 + (28*t[81])/3 - 7*t[82] - 10*t[83] + 
       (61*t[84])/6 - (29*t[85])/3 + (50*t[86])/3 - (89*t[87])/3 - 
       (89*t[88])/6 - (643*t[89])/24 - t[94] + (2*t[97])/3 + 24*t[98] - 
       16*t[99] - (203*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*(18*t[59] + (9*t[60])/2 + (163*t[61])/2 - 
       (203*t[62])/4 + (557*t[63])/4 - (205*t[64])/4 + (266*t[65])/3 - 
       (716*t[66])/3 - 3*t[67] - 12*t[69] - 6*t[74] + 51*t[79] + 12*t[80] + 
       21*t[81] - 21*t[82] - 14*t[83] + 19*t[84] - (11*t[85])/2 - 175*t[86] + 
       (7*t[87])/2 + (7*t[88])/4 + (53*t[89])/4 + 3*t[94] - 96*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((23*t[1])/3 + (19*t[2])/6 - (43*t[3])/4 - (497*t[4])/24 - 
       (131*t[5])/24 - (181*t[6])/24 + (439*t[7])/12 + (197*t[8])/4 + 
       (143*t[9])/8 + (461*t[10])/48 + (1093*t[11])/24 + (127*t[12])/48 + 
       (8137*t[13])/216 + (1603*t[14])/288 - (5*t[15])/72 + (8*t[25])/3 - 
       (28*t[26])/3 + 8*t[27] - (4*t[28])/3 - (14*t[29])/3 + (14*t[30])/3 + 
       2*t[31] - (2*t[32])/3 + (2*t[33])/3 + 5*t[34] + 2*t[35] + 4*t[36] + 
       (13*t[37])/3 + 5*t[38] - (2*t[39])/3 - (10*t[40])/3 - t[41]/6 + 
       t[42]/6 + (13*t[43])/12 - (16*t[44])/3 - (7*t[45])/3 - (29*t[46])/6 + 
       12*t[47] - (135*t[48])/8 - (61*t[49])/48 + (107*t[50])/24 + 
       (517*t[51])/96 - (19*t[52])/24 + (581*t[53])/48 + (53*t[54])/12 - 
       t[58] - (14*t[59])/3 - (907*t[60])/24 + (979*t[61])/24 - 
       (4699*t[62])/48 - (63*t[63])/16 + (4531*t[64])/48 + (487*t[65])/72 - 
       (3121*t[66])/24 + (5*t[67])/3 + (2*t[68])/3 - 7*t[69] - (11*t[70])/3 + 
       (11*t[71])/3 + 8*t[72] + 2*t[73] + t[74]/3 - 7*t[75] + 27*t[76] + 
       (4*t[77])/3 - (104*t[78])/3 + 12*t[79] + (53*t[80])/3 + (15*t[81])/2 + 
       (83*t[82])/6 + 42*t[83] - (103*t[84])/8 + (127*t[85])/8 + 
       (343*t[86])/3 - (455*t[87])/24 - (1079*t[88])/48 - (605*t[89])/16 + 
       t[90]/3 + 4*t[95] + (26*t[96])/3 + (4*t[97])/3 + 144*t[98] - 
       140*t[99] - 96*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*(5*t[1] - (71*t[2])/4 + 23*t[3] + 19*t[4] + 
       (117*t[5])/2 + (47*t[6])/4 - 83*t[7] - 35*t[8] - (235*t[9])/2 - 
       (259*t[10])/4 - 22*t[11] - (95*t[12])/2 - (589*t[13])/36 - 
       (2443*t[14])/72 + (995*t[15])/36 - (8*t[18])/3 + 8*t[19] - 4*t[21] + 
       (8*t[23])/3 + 3*t[24] - 2*t[27] + 4*t[28] + 2*t[29] - 2*t[30] - 
       9*t[31] - 4*t[32] + 4*t[33] - 16*t[34] - 10*t[35] + 2*t[37] + 
       4*t[38] - 2*t[39] + 10*t[40] - (8*t[41])/3 + (8*t[42])/3 + 
       (27*t[43])/4 + t[44] - t[45]/2 + 6*t[46] - 48*t[47] + (57*t[48])/4 - 
       (23*t[49])/4 - (27*t[50])/4 + (19*t[51])/8 - (21*t[52])/4 + 
       (23*t[53])/4 + (17*t[54])/4 + (4*t[59])/3 + (9*t[60])/4 - 
       (1163*t[61])/12 + (279*t[62])/2 - 77*t[63] - (213*t[64])/8 - 
       (3097*t[65])/36 + (2921*t[66])/36 + 10*t[69] + 12*t[74] - 3*t[75] - 
       14*t[76] + 5*t[78] - 18*t[79] + 14*t[80] - (11*t[81])/2 - 
       (31*t[82])/2 - 9*t[83] + (15*t[84])/2 - (95*t[85])/4 - 65*t[86] + 
       (79*t[87])/4 + (79*t[88])/8 - (27*t[89])/8 - 2*t[97] - 96*t[98] + 
       108*t[99] - 93*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 
       1 - u]*((-15*t[1])/4 + 9*t[2] - (17*t[3])/4 - (51*t[4])/4 - 
       (121*t[5])/2 + (51*t[6])/8 + (89*t[7])/2 - (107*t[8])/2 + 
       (567*t[9])/4 - (375*t[10])/8 - (291*t[11])/8 + (203*t[12])/8 - 
       (3233*t[13])/72 + (3821*t[14])/48 - (2885*t[15])/72 - 2*t[22] - 
       t[25] - t[26]/2 - 7*t[27] + 14*t[28] + 7*t[29] - 13*t[30] + 6*t[32] - 
       6*t[33] + (57*t[34])/2 + 12*t[35] - 6*t[38] + 13*t[39] - 
       (31*t[40])/2 - (3*t[41])/4 + (3*t[42])/4 - 5*t[43] - 7*t[44] - 
       (19*t[45])/2 - 3*t[46] - (13*t[47])/2 + (97*t[48])/8 + (95*t[49])/8 - 
       (15*t[50])/8 - (163*t[51])/16 + (163*t[52])/8 - (95*t[53])/8 + 
       (157*t[54])/8 - t[58]/2 + t[59] + 44*t[60] + 77*t[61] - 49*t[62] + 
       (221*t[63])/2 - 90*t[64] - 16*t[65] - 21*t[66] + 28*t[76] + 8*t[77] - 
       16*t[78] + 2*t[80] + 12*t[81] - 12*t[82] - 6*t[84] + 26*t[85] - 
       16*t[86] - 58*t[87] - 29*t[88] - (57*t[89])/2 + 4*t[97] + 228*t[98] - 
       228*t[99] - (177*t[100])/2) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*((-5*t[1])/2 + (17*t[2])/4 + (33*t[3])/2 - 
       (199*t[4])/4 + (319*t[5])/8 + (65*t[6])/4 - (107*t[7])/4 + 
       (93*t[8])/4 + (75*t[9])/8 + (139*t[10])/8 - 27*t[11] + (109*t[12])/4 - 
       (79*t[13])/3 + (1177*t[14])/48 - (1933*t[15])/144 + t[19] + 
       (7*t[29])/2 - (15*t[30])/2 - 7*t[31] - (3*t[32])/2 + (3*t[33])/2 + 
       19*t[34] - 6*t[36] - t[37] - (13*t[38])/2 - 3*t[39] - 7*t[40] + 
       t[41] - t[42] - (7*t[43])/2 - 20*t[44] - (49*t[45])/2 + (37*t[47])/2 - 
       (11*t[48])/4 + (155*t[49])/8 - (115*t[50])/4 - (235*t[51])/16 + 
       (167*t[52])/4 - (139*t[53])/8 + (9*t[54])/2 - (3*t[59])/4 + 
       (13*t[60])/4 - (447*t[61])/4 - (467*t[62])/4 - (73*t[63])/4 + 
       (871*t[64])/8 - (419*t[65])/6 - (89*t[66])/4 - 6*t[74] - 32*t[75] + 
       (89*t[76])/2 + (9*t[77])/2 - 83*t[78] + 44*t[79] + 13*t[80] + 
       (5*t[81])/2 + (7*t[82])/2 + 40*t[83] - (69*t[84])/2 + (23*t[85])/2 + 
       120*t[86] - (97*t[87])/2 - (97*t[88])/4 - (393*t[89])/8 + 3*t[96] + 
       (11*t[97])/2 + 228*t[98] - 228*t[99] - (177*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[u, w, v]*((992*t[60])/9 + 
       (80*t[61])/3 - 20*t[62] + (2260*t[63])/9 - (320*t[64])/9 + 
       (3848*t[65])/27 + (520*t[66])/27 + (64*t[69])/3 - (64*t[72])/9 - 
       32*t[73] + 64*t[75] + (128*t[78])/3 + (128*t[81])/9 - (64*t[82])/9 - 
       (1120*t[83])/9 + (400*t[84])/9 + (16*t[85])/9 - (64*t[86])/3 - 
       (880*t[87])/9 - (440*t[88])/9 + (256*t[89])/9 - (256*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[v, w, u]*((256*t[60])/3 - 
       (368*t[61])/3 + (44*t[62])/3 + (436*t[63])/3 - (112*t[64])/3 + 
       (536*t[65])/3 + (520*t[66])/9 - (64*t[69])/3 - (64*t[72])/3 + 
       (32*t[73])/3 + (128*t[75])/3 + (64*t[78])/3 + (64*t[81])/3 - 
       (64*t[82])/3 - (224*t[83])/3 + (112*t[84])/3 + 16*t[85] + 
       (64*t[86])/3 - (272*t[87])/3 - (136*t[88])/3 + (176*t[89])/3 - 
       (256*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      ((11*t[1])/2 - (15*t[2])/2 + (19*t[3])/4 + (203*t[4])/4 - (97*t[5])/8 + 
       (45*t[6])/4 + 6*t[7] + (83*t[8])/2 - (291*t[9])/8 + (55*t[10])/4 - 
       9*t[11] - (287*t[12])/8 - (1873*t[13])/72 - (125*t[14])/48 + 
       (239*t[15])/16 - 4*t[16] + 3*t[25] - 6*t[26] - 6*t[27] - 22*t[28] + 
       12*t[29] + 11*t[30] - 9*t[31] + 6*t[35] - 9*t[36] - (5*t[37])/2 + 
       3*t[38] - 7*t[39] + 4*t[40] + (5*t[43])/2 - 22*t[44] + t[45] - 
       (3*t[46])/2 - 2*t[47] + 28*t[48] + (57*t[49])/2 + (9*t[50])/2 - 
       (191*t[51])/16 - (13*t[52])/2 - 34*t[53] - (73*t[54])/4 - 
       (45*t[60])/2 + (87*t[61])/2 + (93*t[62])/8 + (1499*t[63])/8 - 
       (81*t[64])/4 - (1337*t[65])/12 + (853*t[66])/12 + 5*t[68] + 2*t[70] - 
       2*t[71] - 33*t[72] - 24*t[73] + t[74] + 68*t[75] - 34*t[76] - 
       11*t[77] + 55*t[78] + 28*t[79] - 8*t[80] - 16*t[81] + 11*t[82] - 
       2*t[83] - (159*t[84])/4 - (155*t[85])/4 - 64*t[86] + (45*t[87])/4 + 
       (109*t[88])/8 - (447*t[89])/8 - 4*t[93] - 2*t[95] - 2*t[96] + t[97] - 
       168*t[98] + 228*t[99] - 81*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*((-31*t[1])/2 + (9*t[2])/2 - 13*t[3] - 
       (197*t[4])/4 - 28*t[5] - (3*t[6])/8 + (29*t[7])/4 - (3*t[8])/4 + 
       (119*t[9])/4 - (95*t[10])/2 + (241*t[11])/8 + (143*t[12])/2 + 
       (53*t[13])/18 + (2113*t[14])/48 + (163*t[15])/24 + 3*t[16] + 8*t[25] + 
       (13*t[26])/2 + 2*t[27] + 22*t[28] - 12*t[29] - 11*t[30] + 9*t[31] - 
       6*t[35] + 5*t[36] - t[37] - (29*t[38])/2 + 7*t[39] - 2*t[40] - 
       (5*t[43])/2 + 22*t[44] + t[45] + (17*t[46])/2 - 2*t[47] - 
       (117*t[48])/8 - (87*t[49])/2 - (13*t[50])/8 + (91*t[51])/16 - 
       (3*t[52])/8 + 38*t[53] + (287*t[54])/8 + (33*t[59])/4 + 
       (147*t[60])/4 + (305*t[61])/2 - (279*t[62])/4 - (27*t[63])/4 + 
       (219*t[64])/8 + (39*t[65])/2 - 76*t[66] + t[67] - 3*t[68] + 3*t[69] - 
       t[70] + t[71] + 39*t[72] + 24*t[73] + 3*t[74] - 68*t[75] - 10*t[76] - 
       8*t[77] - 13*t[78] - 28*t[79] + 4*t[80] + 3*t[81] + 2*t[83] + 
       30*t[84] - 18*t[85] + 60*t[86] + 29*t[87] + (45*t[88])/2 - 
       (43*t[89])/4 + 4*t[93] - 2*t[95] - 2*t[96] + t[97] - 168*t[98] + 
       228*t[99] - 81*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-67*t[1])/6 - t[2]/3 - (317*t[3])/8 + 
       (679*t[4])/24 - (215*t[5])/24 + (977*t[6])/48 + (75*t[7])/2 - 
       (10*t[8])/3 + (869*t[9])/12 - (251*t[10])/16 + (365*t[11])/16 + 
       (327*t[12])/16 + (703*t[13])/216 + (26135*t[14])/288 + 
       (1325*t[15])/72 + 2*t[16] + 11*t[25] - (7*t[26])/3 - (26*t[27])/3 + 
       2*t[28] + t[29]/2 + (11*t[30])/3 + (16*t[31])/3 + (7*t[34])/3 + 
       6*t[36] + (10*t[37])/3 - 9*t[38] + (13*t[39])/3 - (4*t[40])/3 + 
       (2*t[41])/3 - (2*t[42])/3 - t[43]/3 + (40*t[44])/3 - (10*t[45])/3 + 
       (11*t[46])/6 + (17*t[47])/3 + (269*t[48])/16 + (893*t[49])/48 + 
       (95*t[50])/48 - (407*t[51])/32 + t[52]/48 - (55*t[53])/16 + 
       (145*t[54])/16 - (2*t[58])/3 + (16*t[59])/3 + 33*t[60] + 
       (1805*t[61])/12 + (239*t[62])/6 + 127*t[63] - (1329*t[64])/8 - 
       (23*t[65])/36 - (1417*t[66])/36 + t[68]/3 + 8*t[69] - (4*t[70])/3 + 
       (4*t[71])/3 - 18*t[72] - 6*t[73] - 3*t[74] + 35*t[75] + (53*t[76])/3 + 
       6*t[77] - 2*t[78] - 10*t[79] + (5*t[80])/3 + (17*t[81])/2 - 
       (53*t[82])/6 - 35*t[83] + (29*t[84])/4 - (19*t[85])/6 - 
       (376*t[86])/3 - (379*t[87])/6 - (535*t[88])/12 - (133*t[89])/24 + 
       4*t[95] + 8*t[96] + 2*t[97] + 116*t[98] - 112*t[99] - 80*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-11*t[1])/6 + (43*t[2])/12 + (73*t[3])/24 - (25*t[4])/24 - 
       (65*t[5])/48 - (1049*t[6])/48 + (1525*t[7])/48 + (505*t[8])/48 + 
       (523*t[9])/12 - 75*t[10] + (2053*t[11])/24 + (71*t[12])/6 + 
       (32849*t[13])/864 + (4541*t[14])/288 - (373*t[15])/24 - t[18]/3 - 
       t[20] + (4*t[22])/3 + t[25]/6 - (5*t[26])/3 - (7*t[27])/6 + 6*t[28] + 
       t[29] - 4*t[30] - 6*t[31] - t[32] + t[33]/3 + (4*t[34])/3 + 2*t[35] + 
       t[36] + (8*t[39])/3 + 3*t[40] - t[41]/3 + t[42]/3 + (167*t[43])/48 - 
       8*t[44] - (35*t[45])/8 - (13*t[46])/6 + (305*t[47])/12 + 
       (181*t[48])/24 - (91*t[49])/48 - (227*t[50])/24 + (649*t[51])/96 + 
       (83*t[52])/24 + (43*t[53])/48 + (53*t[54])/12 - t[58]/2 - 
       (11*t[59])/3 + (49*t[60])/4 + (125*t[61])/3 - (1057*t[62])/8 + 
       (711*t[63])/8 + (2309*t[64])/12 + (1829*t[65])/36 - (937*t[66])/6 + 
       t[68] + (40*t[72])/3 - 20*t[73] + (2*t[74])/3 + 24*t[75] + 11*t[76] - 
       (2*t[77])/3 + 15*t[78] - 8*t[79] + (167*t[80])/3 + (2*t[81])/3 - 
       (8*t[82])/3 - (68*t[83])/3 + (4*t[84])/3 - (29*t[85])/2 + 
       (277*t[86])/3 - (11*t[87])/6 - (11*t[88])/12 + (143*t[89])/24 + 
       t[92]/6 + 2*t[93] - 2*t[97] + 60*t[98] - 60*t[99] - 78*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      (2*t[1] - (11*t[2])/2 + (465*t[3])/16 + (695*t[4])/24 + (239*t[5])/12 - 
       (307*t[6])/16 - (199*t[7])/24 - (279*t[8])/8 - (291*t[9])/8 + 
       (233*t[10])/48 + (2753*t[11])/48 + (71*t[12])/48 + (49*t[13])/16 - 
       (1739*t[14])/288 - (1709*t[15])/288 + t[17]/12 + 2*t[19] - t[23]/3 + 
       (2*t[24])/3 - t[27] + 2*t[28] + (41*t[29])/12 + (43*t[30])/6 - 
       4*t[31] - (77*t[32])/12 + (37*t[33])/6 - (32*t[34])/3 - 4*t[36] - 
       2*t[37] + t[38] + (11*t[39])/6 - (5*t[40])/12 + t[41] - t[42] - 
       4*t[43] + (65*t[44])/8 + t[45]/2 + t[46]/2 - (3*t[47])/2 + 
       (45*t[48])/16 + (763*t[49])/48 - (497*t[50])/48 - (955*t[51])/96 + 
       (449*t[52])/48 - (571*t[53])/48 - (1391*t[54])/48 + (5*t[59])/12 - 
       (209*t[60])/6 + (29*t[61])/8 - (86*t[62])/3 + (161*t[63])/8 + 
       (113*t[64])/16 + (491*t[65])/36 - (1067*t[66])/24 - (2*t[68])/3 + 
       (7*t[72])/3 - 9*t[73] + t[74]/3 - 16*t[75] + (101*t[76])/6 - 
       (169*t[78])/6 + (7*t[79])/2 + t[80] - t[81]/3 + (11*t[82])/2 - 
       (85*t[83])/6 - (137*t[84])/24 - (113*t[85])/8 + (27*t[86])/2 - 
       (289*t[87])/24 - (505*t[88])/48 - (227*t[89])/12 + (22*t[95])/3 + 
       (13*t[96])/2 + 3*t[97] + 60*t[98] - 60*t[99] - 77*t[100]) + 
     HPL[{0, 1}, 1 - v]*Qep[u, v, w]*((160*t[1])/9 - (112*t[2])/9 + 
       (278*t[3])/9 + (280*t[4])/3 - (508*t[5])/9 - (731*t[6])/9 - 
       (176*t[7])/3 - (1216*t[8])/9 - 74*t[9] - (28*t[10])/3 + 
       (787*t[11])/9 - (632*t[12])/9 + (3074*t[13])/27 - (3091*t[14])/27 - 
       (2648*t[15])/81 - (40*t[29])/9 + (224*t[30])/9 - (64*t[31])/9 + 
       (16*t[32])/3 - (16*t[33])/3 - (368*t[34])/9 + (32*t[36])/3 - 
       (64*t[37])/3 + (128*t[38])/9 + (104*t[39])/9 + (88*t[40])/9 - 
       (32*t[43])/9 + (208*t[44])/9 + (448*t[45])/9 - (320*t[47])/9 - 
       (109*t[48])/9 - (220*t[49])/9 + (41*t[50])/3 + (206*t[51])/9 - 
       (379*t[52])/9 + (220*t[53])/9 - (475*t[54])/9 - (8*t[59])/9 + 
       (398*t[60])/9 + (602*t[61])/3 + (827*t[62])/9 - 219*t[63] - 
       (353*t[64])/9 - (1654*t[65])/27 - (2902*t[66])/9 - (64*t[69])/3 + 
       (64*t[72])/3 - (32*t[74])/3 + (128*t[75])/3 - (640*t[76])/9 - 
       (64*t[77])/9 + (1024*t[78])/9 + (32*t[79])/3 - (64*t[80])/3 + 
       (16*t[81])/9 + (32*t[82])/9 - (128*t[83])/3 + (394*t[84])/9 - 
       (310*t[85])/9 - (1376*t[86])/9 + 90*t[87] + 45*t[88] + (349*t[89])/9 - 
       (64*t[97])/9 - (1216*t[98])/3 + (1216*t[99])/3 - (224*t[100])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-205*t[1])/24 - (2815*t[2])/48 - (6629*t[3])/192 - (2107*t[4])/96 - 
       (17459*t[5])/384 + (381*t[6])/32 + (13277*t[7])/192 + (2069*t[8])/64 + 
       (31151*t[9])/384 - (6929*t[10])/192 + (1951*t[11])/64 + 
       (6573*t[12])/128 - (611*t[13])/192 + (1997*t[14])/384 - 
       (159773*t[15])/2304 + (2*t[18])/3 - (3*t[20])/2 + t[22]/24 + 8*t[25] + 
       (3*t[26])/2 + t[27]/2 - (14*t[28])/3 + t[29]/2 - (85*t[30])/12 + 
       (35*t[31])/3 - 2*t[32] - (5*t[33])/2 - (9*t[34])/2 + (46*t[35])/3 + 
       (31*t[37])/6 - (15*t[38])/2 + (7*t[39])/6 - (19*t[40])/4 + 
       (171*t[41])/16 - (497*t[42])/48 + (623*t[43])/48 + (10*t[44])/3 + 
       (265*t[45])/24 + (43*t[46])/12 + (80*t[47])/3 + (1105*t[48])/48 - 
       (19*t[49])/4 - (273*t[50])/16 + (43*t[51])/48 + (369*t[52])/16 + 
       (19*t[53])/4 + (365*t[54])/16 + (3*t[58])/2 + (121*t[59])/48 + 
       (261*t[60])/8 - (53*t[61])/8 - (1185*t[62])/16 - (2963*t[63])/24 + 
       329*t[64] + (6503*t[65])/288 - (46487*t[66])/288 - (22*t[69])/3 + 
       (55*t[73])/6 - (55*t[74])/6 - (19*t[75])/6 - (49*t[76])/4 - 
       (125*t[77])/24 + 7*t[78] + 16*t[79] + (151*t[80])/3 + (23*t[81])/12 - 
       (5*t[82])/2 - 57*t[83] + (71*t[84])/8 + (59*t[85])/24 + 
       (1333*t[86])/12 - (211*t[87])/24 - (211*t[88])/48 + (3779*t[89])/48 - 
       (7*t[97])/4 + (15*t[98])/2 - (19*t[99])/2 - 74*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      ((11*t[1])/3 - (17*t[3])/24 + (373*t[4])/48 - (161*t[5])/24 + 
       (113*t[6])/96 + (143*t[7])/24 + (75*t[8])/8 + (43*t[9])/6 - 
       (343*t[10])/48 + (563*t[11])/96 + (47*t[12])/48 + (41*t[13])/3 - 
       (457*t[14])/64 - (67*t[15])/36 + (5*t[25])/12 - (49*t[26])/12 - 
       t[27]/2 - t[28] - t[31] + t[35] + (31*t[36])/6 + t[37]/4 + 
       (11*t[38])/3 - t[39] + t[40] - t[45] - (17*t[46])/8 + 2*t[47] - 
       (57*t[48])/32 + (25*t[49])/8 - (355*t[50])/96 + (291*t[51])/64 + 
       (355*t[52])/96 - (61*t[53])/24 + (125*t[54])/96 - (95*t[59])/72 + 
       (1159*t[60])/48 - (307*t[61])/24 + (353*t[62])/192 - 
       (1321*t[63])/192 - (53*t[64])/48 + (7895*t[65])/288 - 
       (7499*t[66])/288 + (9*t[69])/4 - t[70] + t[71] - (5*t[72])/6 - t[73] - 
       (14*t[74])/3 + (39*t[75])/4 + 2*t[76] - t[77] + 3*t[78] + 
       (13*t[79])/48 + (5*t[80])/2 + (65*t[81])/8 - (107*t[82])/24 - 
       (149*t[83])/24 + (95*t[84])/16 + (149*t[85])/24 + (369*t[86])/16 - 
       (45*t[87])/8 - (235*t[88])/48 + (129*t[89])/16 + (10*t[95])/3 - 
       (407*t[100])/6) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*(14*t[1] - (45*t[2])/2 - (45*t[3])/4 + 
       (645*t[4])/8 + (103*t[5])/4 + (395*t[6])/16 - (51*t[7])/2 + 
       (117*t[8])/4 - (315*t[9])/8 + (257*t[10])/16 + (1149*t[11])/16 - 
       (751*t[12])/16 + (1333*t[13])/18 + (1565*t[14])/96 + (19*t[15])/4 + 
       6*t[29] - (27*t[30])/4 - 11*t[31] + (19*t[32])/4 - (19*t[33])/4 - 
       (21*t[34])/2 - 13*t[35] - 6*t[36] - 11*t[37] + (9*t[38])/4 + 
       (13*t[39])/4 - (3*t[40])/2 + (9*t[41])/4 - (9*t[42])/4 + 6*t[43] + 
       5*t[44] - 9*t[46] + (9*t[47])/2 + (345*t[48])/16 + (543*t[49])/16 - 
       (275*t[50])/16 - (291*t[51])/32 + (203*t[52])/16 - (463*t[53])/16 - 
       (251*t[54])/16 + (7*t[59])/4 - 25*t[60] + (201*t[61])/2 - 
       (1529*t[62])/16 - (967*t[63])/16 + 111*t[64] - (2189*t[65])/24 - 
       (1225*t[66])/6 - (3*t[67])/2 - 13*t[69] + 6*t[72] - 27*t[74] - 
       12*t[75] + 34*t[76] - (3*t[77])/2 - (65*t[78])/2 + 70*t[79] + 
       39*t[80] + (11*t[81])/2 - 8*t[82] + (49*t[83])/2 + 4*t[84] + 
       (5*t[85])/4 - 3*t[86] + 48*t[87] + 24*t[88] - (271*t[89])/8 + 
       (3*t[94])/2 - (9*t[96])/2 - 3*t[97] - 12*t[99] - (135*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-181*t[1])/36 - (10283*t[2])/144 + (12619*t[3])/576 - 
       (1037*t[4])/24 - (2299*t[5])/72 + (8023*t[6])/1152 - (529*t[7])/48 - 
       (13115*t[8])/144 + (835*t[9])/64 + (1075*t[10])/48 - 
       (97487*t[11])/1152 + (2129*t[12])/144 - (87647*t[13])/1728 - 
       (265663*t[14])/3456 - (146789*t[15])/2592 + 2*t[19] + (3*t[23])/4 + 
       (3*t[24])/2 - 6*t[28] - (1709*t[29])/144 + (1205*t[30])/72 + 
       (19*t[31])/9 - (227*t[32])/24 + (127*t[33])/12 + (127*t[34])/72 + 
       33*t[35] + (67*t[36])/12 + (77*t[37])/6 - (13*t[38])/18 - 
       (413*t[39])/144 + (365*t[40])/144 + 3*t[41] - 3*t[42] + 
       (137*t[43])/36 + (6293*t[44])/144 - (23*t[45])/18 + (127*t[47])/18 + 
       (6185*t[48])/1152 - (2357*t[49])/144 + (923*t[50])/384 + 
       (2381*t[51])/288 - (1105*t[52])/1152 + (1493*t[53])/144 + 
       (44879*t[54])/1152 + (1493*t[59])/144 + (1321*t[60])/576 + 
       (2527*t[61])/192 - (9439*t[62])/1152 - (9617*t[63])/128 + 
       (221413*t[64])/1152 - (5429*t[65])/1728 + (16723*t[66])/576 + 
       t[67]/2 + (11*t[69])/6 - (4*t[72])/3 - (55*t[74])/3 + (64*t[75])/3 - 
       (62*t[76])/9 - (131*t[77])/36 - (61*t[78])/9 + (337*t[79])/12 - 
       t[80]/6 + (74*t[81])/9 - (337*t[82])/72 - (172*t[83])/3 + 
       (3611*t[84])/576 - (16673*t[85])/576 + (1049*t[86])/36 + 
       (3063*t[87])/64 + (2823*t[88])/128 + (40027*t[89])/1152 - 
       (5*t[95])/2 + 3*t[96] + (29*t[97])/18 - (25*t[98])/6 + (13*t[99])/6 - 
       (202*t[100])/3) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*
      ((-13*t[1])/2 + (21*t[2])/2 + 5*t[3] - (35*t[4])/2 - 7*t[5] + 
       (175*t[6])/4 - (145*t[7])/8 + (385*t[8])/8 - (139*t[9])/8 + 
       (3*t[10])/8 + (31*t[11])/8 - (29*t[12])/4 - (1979*t[13])/48 + 
       (143*t[14])/3 - (721*t[15])/48 - (7*t[17])/2 - (7*t[18])/2 + 
       36*t[20] - 2*t[21] - t[22]/2 + 2*t[23] + 2*t[24] - 2*t[25] + 4*t[26] - 
       10*t[27] + 32*t[28] - 7*t[29] - 12*t[30] + 4*t[31] - 4*t[32] + 
       2*t[33] - (5*t[34])/2 - 3*t[38] + 18*t[39] - 16*t[40] + (3*t[41])/4 - 
       (7*t[42])/4 + (15*t[43])/8 - 13*t[44] - (15*t[45])/4 - 9*t[46] + 
       (17*t[47])/2 + (165*t[48])/8 + (103*t[49])/4 - (27*t[50])/8 - 
       (107*t[51])/8 + (203*t[52])/8 - (103*t[53])/4 - (113*t[54])/8 + 
       (5*t[59])/4 + (57*t[60])/2 + (255*t[61])/4 - (75*t[62])/4 + 
       (119*t[63])/4 - 59*t[64] - (203*t[65])/6 - (22*t[66])/3 + 4*t[70] - 
       4*t[71] + 2*t[74] - 4*t[76] + 6*t[77] + 4*t[78] - 11*t[80] + 2*t[81] - 
       t[82] + 3*t[84] - 5*t[85] - 28*t[86] - t[87] - t[88]/2 - t[89] - 
       t[92] + t[94] - 24*t[98] + 36*t[99] - 66*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*(t[1]/2 + (25*t[2])/4 - 
       (241*t[3])/8 + (21*t[4])/4 + (9*t[5])/2 - (23*t[6])/4 + (245*t[7])/4 + 
       (99*t[8])/4 + (65*t[9])/2 - (265*t[10])/8 + (47*t[11])/2 - 
       (223*t[12])/8 - (43*t[13])/24 + (737*t[14])/48 + (287*t[15])/144 + 
       (3*t[17])/2 + 3*t[19] + 4*t[20] - 4*t[22] - (3*t[23])/2 - 2*t[24] - 
       2*t[29] + (3*t[30])/2 - 32*t[31] + 7*t[32] - (23*t[33])/2 - t[34] - 
       4*t[37] + (19*t[39])/2 - (11*t[40])/2 - t[41]/2 + t[42]/2 - 
       (13*t[43])/2 - (19*t[44])/4 + 2*t[45] - 3*t[47] + 25*t[48] + 
       (49*t[49])/8 + (39*t[50])/2 - (69*t[51])/16 - 13*t[52] - 
       (49*t[53])/8 - (49*t[54])/2 - 2*t[55] - 2*t[56] + (5*t[59])/4 + 
       (127*t[60])/2 + (349*t[61])/4 - (435*t[62])/8 - (677*t[63])/8 + 
       (115*t[64])/4 + (457*t[65])/12 - (647*t[66])/12 + t[67] - 3*t[68] + 
       2*t[70] - 2*t[71] + 36*t[72] + 24*t[73] + 3*t[74] - 68*t[75] + 
       14*t[76] + 3*t[77] - 45*t[78] - 28*t[79] + 4*t[80] + 5*t[81] - 
       10*t[82] + 2*t[83] + (121*t[84])/4 + (31*t[85])/4 + 60*t[86] + 
       (11*t[87])/4 + (75*t[88])/8 + (115*t[89])/8 + 4*t[93] - 2*t[95] - 
       2*t[96] + t[97] - 24*t[98] + 36*t[99] - 66*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((11*t[1])/4 + (17*t[2])/6 + (585*t[3])/16 + (99*t[4])/8 + 
       (1979*t[5])/96 - (3547*t[6])/48 + (251*t[7])/4 - (2651*t[8])/24 + 
       (2767*t[9])/96 - (2659*t[10])/24 + (3947*t[11])/48 + (869*t[12])/96 + 
       (4507*t[13])/96 - (3599*t[14])/96 - (53467*t[15])/1728 + 
       (11*t[17])/12 + (16*t[18])/9 + 2*t[20] + (9*t[21])/2 - (37*t[22])/2 - 
       (9*t[23])/2 + t[24]/3 - (7*t[26])/2 - 4*t[27] - (3*t[28])/2 - 
       (5*t[29])/12 - (11*t[30])/12 - (14*t[31])/3 - (7*t[32])/4 + 
       (3*t[33])/4 + (35*t[34])/3 - (3*t[35])/2 + 3*t[36] - t[37]/2 + 
       (4*t[38])/3 - (2*t[39])/3 + t[40]/2 + (19*t[41])/12 + (5*t[42])/3 + 
       (541*t[43])/48 + (29*t[44])/3 + (61*t[45])/8 - (19*t[46])/2 - 
       (49*t[47])/12 - (125*t[48])/8 + (319*t[49])/24 + (301*t[50])/24 - 
       t[51]/48 - (461*t[52])/24 - (319*t[53])/24 - (499*t[54])/24 - 
       t[58]/2 - (37*t[59])/6 + (337*t[60])/12 + (721*t[61])/12 - 
       (11083*t[62])/72 - (583*t[63])/36 + (12647*t[64])/72 + 
       (1321*t[65])/27 - (43139*t[66])/216 - t[67]/6 - 4*t[69] - 2*t[70] + 
       2*t[71] + 3*t[72] + 9*t[73] - (67*t[74])/3 - (21*t[75])/2 + 
       (73*t[76])/3 - (3*t[77])/2 - (37*t[78])/3 + (275*t[79])/12 + 
       (328*t[80])/3 + (167*t[81])/12 + (53*t[82])/12 + (241*t[83])/18 + 
       (101*t[84])/36 + (1253*t[85])/72 + (4153*t[86])/36 - (2335*t[87])/72 - 
       (2335*t[88])/144 + (59*t[89])/72 + t[94]/6 + (4*t[97])/3 + 148*t[98] - 
       138*t[99] - (787*t[100])/12) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-5*t[1] + 7*t[2] - (143*t[3])/8 - 
       (79*t[4])/4 - (897*t[5])/16 + (57*t[6])/4 + (625*t[7])/8 + 
       (23*t[8])/8 + (1973*t[9])/16 + (63*t[10])/8 + (389*t[11])/8 + 
       (709*t[12])/16 + (1069*t[13])/36 + (1263*t[14])/16 - (897*t[15])/32 - 
       3*t[22] - 4*t[27] - 4*t[28] + 4*t[29] - 4*t[30] + 12*t[31] + 4*t[32] - 
       4*t[33] + 16*t[34] + 24*t[35] - 6*t[37] - 4*t[38] + 2*t[39] - 
       10*t[40] + t[41]/2 - t[42]/2 - (49*t[43])/4 + 2*t[44] + 5*t[45] - 
       6*t[46] + 12*t[47] - (25*t[48])/4 + (23*t[49])/2 + (15*t[50])/4 - 
       (15*t[51])/4 + (33*t[52])/4 - (23*t[53])/2 - (3*t[54])/4 - 
       (9*t[59])/2 + (103*t[60])/2 + (311*t[61])/2 - 172*t[62] + 56*t[63] - 
       24*t[64] + (559*t[65])/12 - (1567*t[66])/12 - 6*t[69] - 12*t[74] + 
       14*t[76] + 3*t[77] - 8*t[78] - 29*t[80] + 12*t[81] - (33*t[82])/2 + 
       3*t[83] - (9*t[84])/2 + (71*t[85])/2 + 39*t[86] - (97*t[87])/2 - 
       (97*t[88])/4 - (3*t[89])/4 + 2*t[97] + 132*t[98] - 126*t[99] - 
       (129*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*((-11*t[1])/9 - (103*t[2])/72 - (1073*t[3])/288 + 
       (50*t[4])/9 - (263*t[5])/12 - (33*t[6])/64 + (223*t[7])/72 + 
       (137*t[8])/18 + (8893*t[9])/288 + (179*t[10])/12 + (10489*t[11])/576 + 
       (917*t[12])/72 + (52859*t[13])/2592 + (9119*t[14])/576 - 
       (1123*t[15])/72 - t[22]/3 - t[25] - t[26]/2 + (2*t[27])/9 - 
       (4*t[28])/9 + (119*t[29])/72 + (83*t[30])/36 + (17*t[31])/6 + 
       (5*t[32])/18 - (5*t[33])/18 + (13*t[34])/36 + (25*t[35])/3 - t[36]/2 - 
       (25*t[37])/6 + (11*t[38])/9 + t[39]/18 + (19*t[40])/18 - 
       (13*t[41])/36 + (13*t[42])/36 - (647*t[43])/72 - (127*t[44])/36 + 
       (149*t[45])/36 - (17*t[46])/4 + (21*t[47])/2 - (2215*t[48])/576 + 
       (257*t[49])/72 - (629*t[50])/192 - (5*t[51])/8 + (71*t[52])/64 - 
       (257*t[53])/72 - (25*t[54])/64 - t[58]/2 - (4*t[59])/3 + 
       (6599*t[60])/144 + (661*t[61])/9 - (4879*t[62])/144 + 
       (10775*t[63])/144 - (4049*t[64])/48 + (3739*t[65])/108 - 
       (32599*t[66])/432 + t[67]/4 + (3*t[68])/4 - (14*t[69])/3 + t[70] - 
       t[71] + (11*t[72])/2 - (31*t[73])/6 - (28*t[74])/3 + (26*t[75])/3 - 
       (149*t[76])/18 - (23*t[77])/12 + (349*t[78])/36 + (13*t[79])/4 - 
       (697*t[80])/18 + 11*t[81] - 4*t[82] - 11*t[83] + (245*t[84])/48 + 
       (2485*t[85])/144 - (511*t[86])/12 - (3121*t[87])/72 - 
       (3121*t[88])/144 - (19*t[89])/32 - t[91]/24 + t[92]/4 + t[93]/2 - 
       t[94]/4 + (23*t[97])/36 + (8*t[98])/3 + (37*t[99])/3 - 
       (385*t[100])/6) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((5*t[1])/6 + (19*t[2])/2 - (57*t[3])/4 + 
       (39*t[4])/2 - (85*t[5])/4 + (539*t[6])/24 - (151*t[7])/12 + 
       (317*t[8])/12 + (87*t[9])/4 - (65*t[10])/6 + (261*t[11])/8 - 
       (25*t[12])/6 + (715*t[13])/24 + (173*t[14])/18 + (599*t[15])/108 + 
       (7*t[17])/3 - 5*t[18] - t[19] - t[21] + t[23]/3 - (19*t[24])/3 + 
       6*t[28] - (2*t[29])/3 - (2*t[30])/3 + (22*t[31])/3 - 4*t[32] + 
       4*t[33] - (19*t[34])/3 - 4*t[35] - 4*t[36] - 4*t[37] + (4*t[38])/3 + 
       (4*t[39])/3 + (2*t[40])/3 + 2*t[41] - t[42] - t[43]/4 - (22*t[44])/3 + 
       17*t[45] + 4*t[46] - (70*t[47])/3 + (103*t[48])/24 - (15*t[49])/4 - 
       (313*t[50])/24 + (11*t[51])/8 + (83*t[52])/8 + (15*t[53])/4 + 
       (101*t[54])/24 + (10*t[59])/3 + (101*t[60])/6 + (97*t[61])/3 - 
       (5*t[62])/2 - 97*t[63] - (317*t[64])/4 + (337*t[65])/12 - 
       (3181*t[66])/36 + t[67]/6 - t[69] + 3*t[70] - 3*t[71] + 4*t[72] + 
       13*t[74] - (14*t[76])/3 + (10*t[77])/3 + (20*t[78])/3 - 12*t[79] + 
       (20*t[80])/3 + (11*t[81])/6 - (71*t[82])/6 - 5*t[83] + (33*t[84])/4 + 
       (9*t[85])/2 + (83*t[86])/3 - (25*t[87])/3 - (25*t[88])/6 + 
       (39*t[89])/2 - (5*t[94])/3 - (2*t[97])/3 - 32*t[98] + 56*t[99] - 
       63*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((4*t[1])/3 + (7*t[2])/6 + (971*t[3])/48 - 4*t[4] + (103*t[5])/6 + 
       (863*t[6])/96 - 46*t[7] + (395*t[8])/12 - (315*t[9])/16 + 
       (63*t[10])/4 - (1903*t[11])/96 - (43*t[12])/6 - (721*t[13])/144 - 
       (707*t[14])/288 - (3535*t[15])/216 + (89*t[29])/12 + (26*t[30])/3 - 
       (16*t[31])/3 - t[32]/2 + t[33]/2 + (11*t[34])/6 - 5*t[36] - 4*t[37] - 
       (4*t[38])/3 - (5*t[39])/6 - (7*t[40])/6 - (8*t[43])/3 - 
       (103*t[44])/6 - (14*t[45])/3 + (10*t[47])/3 + (553*t[48])/96 + 
       (35*t[49])/3 - (677*t[50])/32 - (41*t[51])/6 + (2287*t[52])/96 - 
       (35*t[53])/3 + (559*t[54])/96 - (17*t[59])/12 + (1169*t[60])/48 - 
       (429*t[61])/16 - (4919*t[62])/96 - (995*t[63])/32 + (5045*t[64])/96 - 
       (9637*t[65])/144 - (871*t[66])/16 + 4*t[72] - 5*t[74] - 14*t[75] + 
       (35*t[76])/3 + (2*t[77])/3 - (92*t[78])/3 + 24*t[79] + 2*t[80] + 
       (13*t[81])/3 - (5*t[82])/6 + 16*t[83] - (629*t[84])/48 - 
       (145*t[85])/48 + (142*t[86])/3 - (547*t[87])/16 - (547*t[88])/32 - 
       (1741*t[89])/96 + (2*t[97])/3 + 62*t[98] - 62*t[99] - 62*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u]*((-2*t[1])/3 + t[2]/3 + 
       (83*t[3])/48 + (55*t[4])/24 - (913*t[5])/32 - (51*t[6])/8 - 
       (127*t[7])/48 - (2129*t[8])/48 + (5395*t[9])/96 - (119*t[10])/16 - 
       (1115*t[11])/48 + (1295*t[12])/96 - (9209*t[13])/432 + 
       (2081*t[14])/96 - (13429*t[15])/576 - (5*t[22])/2 - (4*t[27])/3 + 
       (32*t[28])/3 + (4*t[29])/3 - (31*t[30])/3 + (16*t[32])/3 - 
       (4*t[33])/3 + (16*t[34])/3 + 10*t[35] - (4*t[38])/3 + (20*t[39])/3 - 
       (10*t[40])/3 - (13*t[41])/12 + (13*t[42])/12 - (41*t[43])/6 - 
       (4*t[44])/3 + (11*t[45])/12 - (5*t[46])/2 - (13*t[47])/2 + 
       (55*t[48])/6 + (10*t[49])/3 - (3*t[50])/2 - (17*t[51])/8 + 
       (11*t[52])/2 - (10*t[53])/3 + (9*t[54])/2 - (3*t[59])/4 + 
       (47*t[60])/3 + (107*t[61])/6 + (181*t[62])/24 + (715*t[63])/24 - 
       (621*t[64])/8 + (71*t[65])/72 + (793*t[66])/72 + (14*t[76])/3 - 
       (9*t[77])/2 - (8*t[78])/3 - (175*t[80])/6 + 2*t[81] - (21*t[82])/4 - 
       t[84] + (13*t[85])/3 - (103*t[86])/2 - (29*t[87])/3 - (29*t[88])/6 + 
       (3*t[89])/2 + (2*t[97])/3 + 62*t[98] - 62*t[99] - 62*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((55*t[2])/2 + (15*t[3])/4 + 18*t[4] + (93*t[5])/8 + (61*t[6])/2 - 
       (93*t[7])/4 + (237*t[8])/4 + (331*t[9])/8 + 10*t[10] - (19*t[11])/4 + 
       (5*t[12])/8 + (161*t[13])/18 + (1013*t[14])/24 + (481*t[15])/144 + 
       2*t[18] - 2*t[20] + 2*t[22] + 12*t[28] + 8*t[29] - 20*t[30] - 
       8*t[31] - 2*t[32] - t[34] - 8*t[35] - t[41] + t[42] - 4*t[43] - 
       12*t[44] - 2*t[46] + (59*t[48])/2 + (3*t[49])/4 - (29*t[50])/2 - 
       t[51]/2 + (29*t[52])/2 - (3*t[53])/4 + 16*t[54] + 3*t[59] + 
       (79*t[60])/2 + 46*t[61] + (51*t[62])/2 - (91*t[63])/2 - 
       (291*t[64])/2 + (49*t[65])/6 - (175*t[66])/2 + 4*t[69] + 18*t[73] + 
       6*t[74] - 10*t[75] + 2*t[77] + 2*t[79] - 16*t[80] + t[81] - 3*t[82] - 
       42*t[83] + 13*t[84] + (5*t[85])/2 - 58*t[86] - (53*t[87])/2 - 
       (53*t[88])/4 - (43*t[89])/4 + 8*t[99] - 62*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (18*t[2] + (69*t[3])/4 - (19*t[4])/2 - 9*t[5] - (197*t[6])/8 - 
       57*t[7] + 34*t[8] - (61*t[9])/4 + (143*t[10])/4 - (191*t[11])/8 + 
       (5*t[12])/4 - (151*t[13])/36 - (623*t[14])/24 + (187*t[15])/18 - 
       2*t[19] + 2*t[23] + 2*t[24] + 6*t[29] - 14*t[31] - 2*t[34] - 
       16*t[35] - 4*t[36] - 6*t[37] - 2*t[41] + 2*t[42] - 6*t[43] - 6*t[44] - 
       2*t[45] - 2*t[47] + (77*t[48])/8 + (19*t[49])/4 + (61*t[50])/8 - 
       (3*t[51])/4 - (61*t[52])/8 - (19*t[53])/4 - t[54]/8 + 6*t[59] - 
       (431*t[60])/4 - (327*t[61])/4 - (173*t[62])/4 - (171*t[63])/4 + 
       (545*t[64])/8 + (911*t[65])/6 + (2105*t[66])/12 - 2*t[67] - 4*t[73] + 
       30*t[74] - 4*t[75] - 6*t[76] - 2*t[78] + 50*t[79] + 72*t[80] + t[81] - 
       7*t[82] + 10*t[83] + (7*t[84])/4 - (159*t[85])/4 + 90*t[86] + 
       (141*t[87])/4 + (149*t[88])/8 - (43*t[89])/8 + 8*t[95] + 8*t[99] - 
       62*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((19*t[1])/6 - (35*t[2])/8 + (119*t[3])/4 + 
       (583*t[4])/24 + (134*t[5])/3 - (4561*t[6])/96 + (431*t[7])/24 - 
       (1141*t[8])/8 - (423*t[9])/16 + (119*t[10])/16 + (10357*t[11])/96 + 
       (733*t[12])/48 + (3433*t[13])/54 - (2647*t[14])/72 - 
       (13547*t[15])/864 + t[18]/6 + 2*t[19] - (5*t[20])/2 - 2*t[21] - 
       t[25] + t[27]/3 + (83*t[28])/6 - (211*t[29])/12 - (49*t[30])/6 + 
       (5*t[31])/2 - (121*t[32])/12 + (49*t[33])/6 - (17*t[34])/6 - 3*t[35] - 
       (9*t[37])/2 + (4*t[38])/3 + (79*t[39])/6 - (53*t[40])/4 + 
       (19*t[41])/12 - (7*t[42])/12 + (83*t[43])/24 + (857*t[44])/24 - 
       (13*t[45])/6 + (5*t[46])/2 + 2*t[47] - (4019*t[48])/96 + 
       (161*t[49])/16 - (1091*t[50])/96 - (511*t[51])/96 + (1187*t[52])/96 - 
       (227*t[53])/48 - (5405*t[54])/96 - (7*t[59])/6 + (95*t[60])/48 + 
       (967*t[61])/48 - (7807*t[62])/96 - (9365*t[63])/96 + (5939*t[64])/96 - 
       (8237*t[65])/144 - (11981*t[66])/48 - t[69]/2 - 2*t[70] + 2*t[71] - 
       t[72] + 20*t[73] - (47*t[74])/6 + 15*t[75] + (187*t[76])/6 + 5*t[77] - 
       (125*t[78])/3 + (74*t[80])/3 + 15*t[81] - (43*t[82])/4 - 
       (187*t[83])/4 - (673*t[84])/48 - (31*t[85])/16 + (3*t[86])/2 - 
       (1165*t[87])/48 - (2213*t[88])/96 - (4049*t[89])/96 + 7*t[95] + 
       13*t[96] + (13*t[97])/3 + 148*t[98] - 138*t[99] - (743*t[100])/12) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-5*t[1])/2 - (107*t[2])/8 + 9*t[3] + (327*t[4])/8 - t[5] - 
       (53*t[6])/4 - (41*t[7])/2 - (289*t[8])/8 - (51*t[9])/8 + 
       (515*t[10])/16 - (105*t[11])/8 + (267*t[12])/16 - (1435*t[13])/36 - 
       (419*t[14])/96 - (211*t[15])/12 - (15*t[17])/4 + 2*t[18] + 2*t[19] - 
       10*t[21] + 10*t[23] + 2*t[24] - 20*t[31] + 2*t[37] - 2*t[41] + 
       (3*t[42])/2 - 4*t[43] - t[45] - (11*t[46])/4 + 33*t[47] + 
       (67*t[48])/4 + (19*t[49])/16 + (27*t[50])/4 - t[51]/32 - 
       (27*t[52])/4 - (19*t[53])/16 + (11*t[54])/8 + 3*t[59] + (27*t[60])/4 + 
       (137*t[61])/4 + (251*t[62])/4 + (89*t[63])/2 + (173*t[64])/8 - 
       (153*t[65])/4 + (677*t[66])/12 + 2*t[67] + 16*t[69] - 2*t[70] + 
       2*t[71] - 6*t[74] + 4*t[75] + 28*t[79] + 2*t[80] + (5*t[81])/2 + 
       (11*t[82])/2 - 33*t[83] + (19*t[84])/2 - (119*t[85])/4 - 87*t[86] - 
       (13*t[87])/4 - (13*t[88])/8 - (165*t[89])/8 + t[94]/2 - 16*t[99] - 
       61*t[100]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-15*t[2])/8 - (73*t[3])/2 - (9*t[4])/4 - (21*t[5])/16 + (55*t[6])/8 - 
       (47*t[7])/2 + (69*t[8])/4 - (321*t[9])/16 - (27*t[10])/8 + 
       (7*t[11])/4 + (133*t[12])/16 + (40*t[13])/9 + (39*t[14])/8 - 
       (4169*t[15])/288 + 2*t[18] + 14*t[20] - 14*t[22] - 6*t[28] - 5*t[29] - 
       7*t[30] - (27*t[32])/2 + (25*t[33])/2 + 13*t[34] + 10*t[35] + 
       2*t[37] + t[41] - t[42] - 4*t[44] + 2*t[47] + (59*t[48])/8 - 
       (9*t[49])/8 - (133*t[50])/8 + (9*t[51])/16 + (133*t[52])/8 + 
       (9*t[53])/8 + (123*t[54])/8 + (5*t[59])/2 + (655*t[60])/8 + 
       (49*t[61])/2 - (775*t[62])/16 - (991*t[63])/16 + (321*t[64])/4 - 
       (87*t[65])/4 - (809*t[66])/12 + (5*t[67])/2 + 10*t[69] - 2*t[70] + 
       2*t[71] + 4*t[73] + 10*t[75] + 2*t[79] - 2*t[80] + (19*t[81])/4 - 
       (19*t[82])/4 + 4*t[83] + 10*t[84] + (53*t[85])/8 + 34*t[86] - 
       (237*t[87])/8 - (109*t[88])/16 + (79*t[89])/8 + 2*t[95] - 16*t[99] - 
       61*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-89*t[1])/18 - (385*t[2])/24 - (23*t[3])/24 + 
       (555*t[4])/8 - (2371*t[5])/48 + (847*t[6])/144 - (119*t[7])/3 - 
       (157*t[8])/8 + (977*t[9])/48 + (1495*t[10])/48 - (1223*t[11])/48 + 
       (115*t[12])/12 + (7117*t[13])/432 + (5087*t[14])/288 - 
       (3929*t[15])/288 + (11*t[17])/12 - (2*t[18])/3 - t[20]/2 + t[21]/2 + 
       t[22]/6 - t[23]/2 - (5*t[24])/3 + (5*t[31])/2 - t[32]/2 - t[34]/3 - 
       t[35]/2 - t[37] + t[40] - (31*t[41])/12 + (26*t[42])/9 - 
       (223*t[43])/24 + t[44] + (155*t[45])/12 - (55*t[46])/4 - 
       (125*t[47])/6 - (367*t[48])/48 + (937*t[49])/48 - (355*t[50])/48 - 
       (187*t[51])/96 + (355*t[52])/48 - (937*t[53])/48 - (149*t[54])/16 - 
       (43*t[59])/9 + (166*t[60])/3 - (217*t[61])/3 + (679*t[62])/8 + 
       (559*t[63])/24 - (683*t[64])/4 - (155*t[65])/18 - (271*t[66])/12 - 
       t[67]/6 + 6*t[69] - 4*t[70] + 4*t[71] + (2*t[72])/3 - 2*t[73] - 
       21*t[74] + 15*t[75] - (20*t[77])/3 + 14*t[78] + 17*t[79] - 
       (91*t[80])/3 + (57*t[81])/2 - (91*t[82])/6 - (145*t[83])/3 + 
       (121*t[84])/6 + (89*t[85])/4 - (148*t[86])/3 - (293*t[87])/4 - 
       (293*t[88])/8 - (25*t[89])/3 + t[94]/6 - 4*t[99] - (181*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-119*t[2])/72 - (25*t[3])/4 + (89*t[4])/6 - (65*t[5])/16 + 
       (317*t[6])/24 - (55*t[7])/6 + (191*t[8])/4 + (411*t[9])/16 - 
       14*t[10] + t[11] - (43*t[12])/48 + (167*t[13])/8 + (61*t[14])/48 - 
       (3469*t[15])/288 - t[20]/2 + t[23]/3 + t[24]/2 + 7*t[28] + 
       (31*t[29])/3 - (5*t[30])/6 + t[31]/2 + (35*t[32])/4 - (3*t[33])/2 + 
       (8*t[34])/3 + 7*t[35] + t[36] - t[40] + t[43]/2 - (173*t[44])/12 + 
       (263*t[48])/24 + (67*t[49])/12 - (75*t[50])/8 - (67*t[51])/24 + 
       (75*t[52])/8 - (67*t[53])/12 + (19*t[54])/24 - (77*t[59])/36 + 
       (2645*t[60])/48 - (2851*t[61])/48 + (1007*t[62])/36 - 
       (3367*t[63])/72 + (625*t[64])/288 + (12245*t[65])/432 - 
       (14015*t[66])/432 + (7*t[69])/2 - 2*t[70] + 2*t[71] - t[72]/3 + 
       t[73] - (15*t[74])/2 + (27*t[75])/2 + 4*t[76] - t[77] + 3*t[78] - 
       (109*t[79])/24 + 2*t[80] + (415*t[81])/24 - (271*t[82])/24 - 
       (293*t[83])/36 + (85*t[84])/9 + (2651*t[85])/144 + (1255*t[86])/72 - 
       (2743*t[87])/144 - (3079*t[88])/288 + (9013*t[89])/288 + 
       (14*t[95])/3 - 4*t[99] - (349*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (t[3] + 4*t[4] - (3*t[5])/2 - 2*t[6] - t[7] - 3*t[8] - (9*t[9])/2 - 
       7*t[10] - t[11] - (17*t[12])/2 - t[13] + (5*t[14])/2 - t[15]/12 - 
       2*t[22] - 4*t[29] - 16*t[60] + 6*t[61] + 4*t[62] - 4*t[64] + 
       (26*t[65])/3 + 2*t[66] - 2*t[82] + 8*t[83] + 8*t[87] + 4*t[88] - 
       57*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(t[3] + 4*t[4] + 2*t[5] + (7*t[6])/2 - 10*t[7] - 
       6*t[8] - t[9] + 6*t[10] + (9*t[11])/2 - 2*t[12] + (7*t[13])/3 + 
       (41*t[14])/6 - 3*t[15] - 2*t[39] + 2*t[40] - 2*t[44] - (3*t[48])/2 + 
       2*t[49] - (3*t[50])/2 - 2*t[51] + (3*t[52])/2 - 2*t[53] - 
       (9*t[54])/2 - 50*t[60] + (215*t[61])/2 + 12*t[62] + 18*t[63] + 
       (141*t[64])/4 - (295*t[65])/2 - (230*t[66])/3 - 6*t[69] + 2*t[72] - 
       10*t[74] + t[77] - 2*t[79] + 4*t[80] - 26*t[81] + 32*t[82] + 
       13*t[83] - t[84]/2 - (69*t[85])/2 - 18*t[86] + (127*t[87])/2 + 
       (127*t[88])/4 - 28*t[89] - 57*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((5*t[1])/12 + (367*t[2])/24 - 
       (115*t[3])/96 + (331*t[4])/16 - (1591*t[5])/96 + (1831*t[6])/192 - 
       (119*t[7])/16 + (109*t[8])/6 + (211*t[9])/8 + (473*t[10])/96 + 
       (2833*t[11])/192 + (29*t[12])/6 + (7091*t[13])/432 + 
       (5255*t[14])/288 + (1003*t[15])/576 - (7*t[18])/6 + t[19] + t[21] - 
       (2*t[23])/3 + (3*t[28])/2 + (65*t[29])/48 - (121*t[30])/48 - 
       (16*t[31])/3 - t[32]/16 + t[33]/16 - (3*t[34])/4 - (15*t[35])/2 - 
       (5*t[36])/4 - (10*t[37])/3 + (53*t[39])/48 - (5*t[40])/48 - 
       (2*t[41])/3 + t[42]/3 - (325*t[43])/48 - (77*t[44])/12 + 
       (125*t[45])/24 - (13*t[46])/4 - (19*t[47])/4 - (923*t[48])/192 + 
       (167*t[49])/96 + (997*t[50])/192 - (35*t[51])/192 - (997*t[52])/192 - 
       (167*t[53])/96 - (1141*t[54])/192 + (107*t[59])/24 + (1129*t[60])/96 + 
       (625*t[61])/32 - (6023*t[62])/192 - (2317*t[63])/192 - 
       (15523*t[64])/192 - (3907*t[65])/288 - (14249*t[66])/288 - t[67]/4 + 
       (7*t[69])/6 - t[70]/2 + t[71]/2 + (5*t[72])/3 - (5*t[74])/6 - 
       (35*t[75])/6 + (5*t[76])/3 + (3*t[77])/2 - (20*t[78])/3 - 
       (23*t[80])/2 + (5*t[81])/12 - (79*t[82])/12 + (181*t[83])/12 + 
       (7*t[84])/32 - (131*t[85])/96 + (61*t[86])/6 - (685*t[87])/96 - 
       (685*t[88])/192 - (1007*t[89])/64 + (15*t[98])/2 + (5*t[99])/2 - 
       (113*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-13*t[1])/3 - (311*t[2])/36 - (87*t[3])/2 - 
       (123*t[4])/4 - (1709*t[5])/48 + (2485*t[6])/72 - (425*t[7])/24 + 
       (1501*t[8])/24 + (3697*t[9])/48 - (1387*t[10])/24 - (91*t[11])/3 + 
       (817*t[12])/48 - (77*t[13])/108 + (2261*t[14])/144 - 
       (29315*t[15])/864 + t[16]/6 + t[17]/2 + (4*t[18])/3 + t[19] + 
       3*t[20] - 10*t[22] - 2*t[24] - t[25] + 7*t[28] + (4*t[29])/3 - 
       (11*t[30])/3 - 9*t[31] + (41*t[32])/6 + (2*t[33])/3 + (85*t[34])/3 + 
       26*t[35] - (35*t[36])/3 + (16*t[37])/3 - (23*t[38])/3 - (13*t[39])/6 - 
       10*t[40] + (8*t[41])/3 - (25*t[42])/18 - (13*t[43])/12 - 
       (117*t[44])/4 - (53*t[45])/2 - (23*t[46])/6 + (69*t[47])/2 + 
       (791*t[48])/24 + (17*t[49])/6 - (337*t[50])/24 - (89*t[51])/24 + 
       (905*t[52])/24 - (41*t[53])/6 + (1211*t[54])/24 - (2*t[56])/3 - 
       (8*t[57])/3 + (97*t[59])/36 + (43*t[60])/24 - (725*t[61])/24 - 
       (8899*t[62])/72 - (1457*t[63])/72 + (31879*t[64])/144 + 
       (15647*t[65])/216 - (15467*t[66])/216 + 3*t[68] + 2*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 + 18*t[72] + 4*t[73] - (20*t[74])/3 - 
       5*t[75] + (7*t[76])/2 - (7*t[77])/2 + (5*t[78])/2 + (107*t[79])/12 + 
       (176*t[80])/3 + (113*t[81])/12 + (7*t[82])/12 + (290*t[83])/9 - 
       (34*t[84])/9 + (2429*t[85])/72 + (4963*t[86])/36 - (1765*t[87])/72 - 
       (205*t[88])/144 + (3469*t[89])/144 - (2*t[90])/3 + (2*t[95])/3 - 
       (34*t[96])/3 + (11*t[97])/6 + 80*t[98] - 122*t[99] - (169*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      ((31*t[1])/6 - (13*t[2])/36 + 7*t[3] + (359*t[4])/24 + (321*t[5])/16 - 
       (1021*t[6])/96 + (9*t[7])/8 + (115*t[8])/2 - (389*t[9])/8 + 
       (217*t[10])/16 + (3989*t[11])/96 + (21*t[12])/2 + (5165*t[13])/432 + 
       (23*t[14])/48 + (7351*t[15])/432 + 2*t[19] + (4*t[23])/3 + 3*t[24] - 
       5*t[28] - (125*t[29])/24 + (5*t[30])/2 - 4*t[31] + (59*t[32])/12 - 
       6*t[33] - (20*t[34])/3 - 10*t[35] + 3*t[36] - 4*t[37] + (7*t[38])/3 + 
       (161*t[39])/24 - (35*t[40])/8 + (17*t[41])/6 - (17*t[42])/6 - 
       t[43]/2 + (33*t[44])/8 - t[46]/2 + (11*t[47])/3 + (761*t[48])/96 + 
       (67*t[49])/48 - (289*t[50])/32 - t[51]/32 + (419*t[52])/96 + 
       (127*t[53])/16 - (617*t[54])/96 + (23*t[59])/18 - (967*t[60])/24 + 
       (1199*t[61])/12 - (1805*t[62])/48 - (61*t[63])/16 + (127*t[64])/3 + 
       (1591*t[65])/72 - (431*t[66])/36 - (7*t[69])/2 + (3*t[70])/2 - 
       (3*t[71])/2 + t[72]/4 - t[73] + t[74] - (5*t[75])/2 + 15*t[76] + 
       (91*t[77])/24 - 14*t[78] + (19*t[80])/3 - (11*t[81])/3 - 
       (19*t[82])/6 + (11*t[83])/2 - (1145*t[84])/48 - (1841*t[85])/48 - 
       (39*t[86])/2 + (1577*t[87])/48 + (889*t[88])/96 - (527*t[89])/48 + 
       11*t[96] + (22*t[97])/3 + 68*t[98] - 72*t[99] - (1351*t[100])/24) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*
      ((3*t[1])/2 + (29*t[2])/12 + (33*t[3])/4 + (361*t[4])/12 + 
       (217*t[5])/12 + (133*t[6])/8 - (305*t[7])/6 - 19*t[8] - 
       (1393*t[9])/24 + (515*t[10])/24 - (71*t[11])/6 - (811*t[12])/24 - 
       (5567*t[13])/432 + (625*t[14])/48 + (1205*t[15])/72 - (5*t[18])/9 - 
       t[21]/3 + t[23] + (5*t[24])/3 + 3*t[31] - (2*t[34])/3 - 2*t[35] - 
       t[37] - t[38]/3 - (5*t[41])/4 - (7*t[42])/12 + (49*t[43])/4 + 
       (17*t[45])/3 - (19*t[46])/6 - (100*t[47])/3 + (9*t[48])/4 + 
       (25*t[49])/8 - (79*t[50])/12 + t[51]/48 + (29*t[52])/4 - 
       (25*t[53])/8 - (4*t[54])/3 + (13*t[59])/12 + (199*t[60])/6 + 
       (64*t[61])/3 + (209*t[62])/2 + 83*t[63] - (3085*t[64])/24 - 
       (1381*t[65])/36 - (50*t[66])/9 - t[69] + (2*t[70])/3 - (2*t[71])/3 + 
       (29*t[74])/3 + t[76] - (2*t[78])/3 - (19*t[79])/2 - (190*t[80])/3 + 
       (28*t[81])/3 - (26*t[82])/3 - (85*t[83])/6 + (55*t[84])/12 + 
       (245*t[85])/12 - (323*t[86])/2 - (113*t[87])/4 - (113*t[88])/8 + 
       (131*t[89])/24 + 8*t[98] - 8*t[99] - 56*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((19*t[1])/12 + (127*t[2])/24 + (7*t[3])/48 + (379*t[4])/24 + 
       (427*t[5])/32 - (1375*t[6])/72 - (137*t[7])/12 - (37*t[8])/4 - 
       (725*t[9])/48 + (401*t[10])/16 + (133*t[11])/6 - (281*t[12])/32 - 
       (529*t[13])/32 + (503*t[14])/16 + (2425*t[15])/192 - (13*t[18])/9 - 
       3*t[20] + (19*t[22])/12 - 2*t[25] - (7*t[26])/3 + t[28] + t[29]/2 + 
       t[30] + 5*t[31] - 7*t[32] + (14*t[33])/3 + t[34] - 2*t[35] - t[37] + 
       2*t[38] - (14*t[39])/3 + (28*t[40])/3 + (7*t[41])/6 + (89*t[42])/36 - 
       (21*t[43])/8 + (197*t[45])/24 + (19*t[46])/4 - (119*t[47])/12 - 
       (593*t[48])/48 + (523*t[49])/48 - (781*t[50])/48 - (677*t[51])/96 + 
       (221*t[52])/48 - (523*t[53])/48 + (431*t[54])/48 - (7*t[58])/3 - 
       (5*t[59])/36 + (1177*t[60])/24 + (3875*t[61])/48 - (2449*t[62])/64 + 
       (5105*t[63])/64 - (2131*t[64])/24 - (5557*t[65])/288 - 
       (1397*t[66])/32 + (3*t[70])/2 - (3*t[71])/2 - t[73] + (15*t[74])/2 + 
       t[75] + (43*t[76])/3 + (9*t[77])/4 - (13*t[78])/3 - (31*t[79])/3 - 
       (61*t[80])/3 + (37*t[81])/4 + t[82]/6 + (25*t[83])/12 - 
       (53*t[84])/12 + (593*t[85])/24 + (115*t[86])/8 - (1105*t[87])/24 - 
       (1105*t[88])/48 - (499*t[89])/16 + t[97]/3 + 68*t[98] - 72*t[99] - 
       (447*t[100])/8) + HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - v]*
      ((-99*t[1])/2 + (1467*t[2])/4 - (11961*t[3])/8 - (3147*t[4])/4 - 
       (10431*t[5])/8 + (8919*t[6])/8 + (3645*t[7])/4 + (2415*t[8])/4 + 
       (19155*t[9])/8 - (8301*t[10])/8 - (4851*t[11])/8 + (4851*t[12])/4 + 
       (2785*t[13])/8 + (19991*t[14])/16 + (9575*t[15])/24 - 9*t[17] + 
       72*t[19] + 72*t[20] + 72*t[21] - 216*t[22] - 36*t[23] + 36*t[24] - 
       72*t[27] + 144*t[28] - (297*t[29])/2 - 93*t[30] + 360*t[31] + 
       (207*t[32])/2 - 33*t[33] + 555*t[34] - 144*t[35] - 12*t[36] + 
       75*t[37] - 96*t[38] + 12*t[39] - 153*t[40] + 96*t[41] - 96*t[42] + 
       105*t[43] - (1119*t[44])/4 - 516*t[45] - 36*t[46] + 615*t[47] - 
       (777*t[48])/8 - (4419*t[49])/8 + (3435*t[50])/8 + (5451*t[51])/16 - 
       (2883*t[52])/8 + (4035*t[53])/8 + (10617*t[54])/8 + 36*t[55] - 
       72*t[57] + (231*t[59])/2 + 993*t[60] + (2277*t[61])/4 + 
       (5001*t[62])/8 + (14559*t[63])/8 - (14235*t[64])/8 + (1855*t[65])/2 + 
       (2197*t[66])/2 - 18*t[67] + 18*t[68] - 18*t[70] + 18*t[71] - 
       432*t[72] - 276*t[73] - 3*t[74] + 852*t[75] - 438*t[76] + 57*t[77] + 
       1638*t[78] + 120*t[79] + 978*t[80] + (75*t[81])/2 + (189*t[82])/2 - 
       312*t[83] + (459*t[84])/2 - (669*t[85])/4 - 1272*t[86] - 
       (3645*t[87])/4 + (603*t[88])/8 + 162*t[89] - 36*t[93] - 66*t[95] - 
       240*t[96] + 27*t[97] + 396*t[98] - 432*t[99] - 54*t[100]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u]*((249*t[1])/2 - 168*t[2] - 
       (1599*t[3])/4 - (2859*t[4])/4 - (501*t[5])/8 + (3099*t[6])/4 - 
       (2013*t[7])/8 + (3333*t[8])/8 + (1463*t[9])/4 + (2295*t[10])/2 - 
       (6705*t[11])/8 + (1101*t[12])/4 + (24443*t[13])/48 + (1485*t[14])/16 + 
       (4199*t[15])/8 + 45*t[17] + 12*t[18] + 72*t[19] - 432*t[20] - 
       54*t[21] + 18*t[22] - 18*t[23] - 54*t[24] + 30*t[25] - 99*t[26] + 
       42*t[27] - 432*t[28] - 72*t[29] - 126*t[30] - 24*t[32] + 24*t[33] + 
       165*t[34] + 144*t[35] - 72*t[36] - 144*t[37] + 60*t[38] - 240*t[39] + 
       18*t[40] - (129*t[41])/2 - (9*t[42])/2 + (189*t[43])/8 + 66*t[44] - 
       (1083*t[45])/4 + (327*t[46])/2 + (129*t[47])/2 - (4863*t[48])/8 - 
       (2007*t[49])/8 + (561*t[50])/8 - (855*t[51])/16 - (249*t[52])/8 + 
       (2295*t[53])/8 + (4389*t[54])/8 - 63*t[58] + 120*t[59] - 
       (2667*t[60])/2 - (3177*t[61])/2 + 1545*t[62] + 1878*t[63] + 
       (963*t[64])/4 - 1170*t[65] + (3733*t[66])/2 + 48*t[70] - 48*t[71] + 
       66*t[74] + 6*t[76] - 96*t[77] - 39*t[78] - 42*t[80] - 105*t[81] + 
       3*t[82] - 168*t[84] + 51*t[85] - 426*t[86] + 48*t[87] + 24*t[88] - 
       (3903*t[89])/4 + 18*t[92] - 18*t[94] + 30*t[97] + 396*t[98] - 
       432*t[99] - 54*t[100]) + HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - v]*
      (-28*t[1] + (703*t[2])/4 - (1357*t[3])/2 - (1599*t[4])/4 - 
       (4717*t[5])/8 + (4023*t[6])/8 + (1801*t[7])/4 + (731*t[8])/4 + 
       (9123*t[9])/8 - (4457*t[10])/8 - (2023*t[11])/8 + (1125*t[12])/2 + 
       (2069*t[13])/9 + (26179*t[14])/48 + (9295*t[15])/48 - 3*t[17] + 
       36*t[19] + 40*t[20] + 36*t[21] - 112*t[22] - 21*t[23] + 16*t[24] - 
       36*t[27] + 72*t[28] - 60*t[29] - 62*t[30] + 160*t[31] + (61*t[32])/2 - 
       10*t[33] + 262*t[34] - 72*t[35] + 4*t[36] + 33*t[37] - 49*t[38] + 
       11*t[39] - (151*t[40])/2 + 46*t[41] - 46*t[42] + (201*t[43])/4 - 
       (187*t[44])/2 - (535*t[45])/2 - 18*t[46] + (631*t[47])/2 - 
       (579*t[48])/8 - (2301*t[49])/8 + (1765*t[50])/8 + (2817*t[51])/16 - 
       (1477*t[52])/8 + (2077*t[53])/8 + (4845*t[54])/8 + 16*t[55] - 
       2*t[56] - 36*t[57] + 63*t[59] + 538*t[60] + (577*t[61])/2 + 
       (1375*t[62])/4 + (3271*t[63])/4 - (3291*t[64])/4 + (5987*t[65])/12 + 
       (5015*t[66])/12 - 9*t[67] + 6*t[68] - 10*t[70] + 10*t[71] - 
       180*t[72] - 120*t[73] - 3*t[74] + 388*t[75] - (405*t[76])/2 + 
       25*t[77] + (1579*t[78])/2 + 20*t[79] + 508*t[80] + (37*t[81])/2 + 
       32*t[82] - 190*t[83] + (639*t[84])/4 - 70*t[85] - 657*t[86] - 
       (847*t[87])/2 + (105*t[88])/4 + (341*t[89])/4 - 14*t[93] - 30*t[95] - 
       118*t[96] + 7*t[97] + 204*t[98] - 216*t[99] - 54*t[100]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u]*((119*t[1])/2 - (155*t[2])/2 - 
       (633*t[3])/4 - (1295*t[4])/4 - (719*t[5])/8 + (2697*t[6])/8 - 
       (149*t[7])/2 + 142*t[8] + (1725*t[9])/8 + (3667*t[10])/8 - 
       (2541*t[11])/8 + (277*t[12])/2 + (5311*t[13])/24 + (1877*t[14])/48 + 
       (10895*t[15])/48 + 21*t[17] + 7*t[18] + 36*t[19] - 180*t[20] - 
       26*t[21] - 11*t[22] - 6*t[23] - 24*t[24] + 4*t[25] - (71*t[26])/2 + 
       14*t[27] - 196*t[28] - 39*t[29] - 78*t[30] + 4*t[31] - 15*t[32] + 
       13*t[33] + 88*t[34] + 72*t[35] - 36*t[36] - 72*t[37] + 29*t[38] - 
       113*t[39] + 2*t[40] - 21*t[41] - 10*t[42] + (61*t[43])/4 + 
       (57*t[44])/2 - (217*t[45])/2 + (171*t[46])/2 - 11*t[47] - 
       (2513*t[48])/8 - (959*t[49])/8 + (419*t[50])/8 - (581*t[51])/16 - 
       (107*t[52])/8 + (1103*t[53])/8 + (2103*t[54])/8 - (5*t[56])/2 - 
       2*t[57] - (59*t[58])/2 + 58*t[59] - 595*t[60] - (1367*t[61])/2 + 
       (1407*t[62])/2 + (1787*t[63])/2 + (567*t[64])/4 - (3245*t[65])/6 + 
       (2351*t[66])/3 + t[67] + 20*t[70] - 20*t[71] + 32*t[74] + 6*t[76] - 
       40*t[77] - 19*t[78] - 2*t[80] - 44*t[81] - 73*t[84] + (49*t[85])/2 - 
       213*t[86] + (17*t[87])/2 + (17*t[88])/4 - 458*t[89] + 8*t[92] - 
       10*t[94] + 14*t[97] + 204*t[98] - 216*t[99] - 54*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-23*t[2])/12 + (1309*t[3])/24 + (7*t[4])/2 + (203*t[5])/8 - 
       (425*t[6])/12 + (7*t[7])/12 - (959*t[8])/12 - (445*t[9])/24 - 
       (211*t[10])/12 + (275*t[11])/6 + (193*t[12])/24 + (3743*t[13])/216 - 
       (1207*t[14])/36 - (2095*t[15])/108 - t[22] - (4*t[23])/3 - 4*t[28] + 
       (29*t[29])/6 - t[30]/3 - (2*t[32])/3 - (13*t[33])/3 + t[34]/3 + 
       4*t[35] + 4*t[36] - (2*t[37])/3 + t[38]/3 + (4*t[39])/3 - t[40] + 
       (5*t[43])/3 - 8*t[44] - 2*t[45] + 2*t[47] - (35*t[48])/3 - 
       (53*t[49])/12 - (3*t[50])/2 + (19*t[51])/8 + t[52]/6 + (23*t[53])/4 - 
       (133*t[54])/4 - (8*t[59])/3 + (233*t[60])/12 - (113*t[61])/3 - 
       (273*t[62])/8 - (177*t[63])/8 + 51*t[64] - (1841*t[65])/36 - 
       (1375*t[66])/36 - (4*t[70])/3 + (4*t[71])/3 - 2*t[73] - (20*t[74])/3 - 
       4*t[75] + (11*t[76])/3 - 4*t[77] - 3*t[78] - 2*t[79] + (28*t[80])/3 - 
       t[81]/2 + (5*t[82])/2 + 11*t[83] - (151*t[84])/12 - (28*t[85])/3 + 
       (110*t[86])/3 - 33*t[87] - (191*t[88])/6 - 28*t[89] + (16*t[95])/3 + 
       (10*t[96])/3 + t[97]/3 + 24*t[98] - 8*t[99] - (103*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((5*t[1])/3 - (43*t[2])/12 + (17*t[3])/3 - (77*t[4])/6 - (193*t[5])/6 - 
       (1033*t[6])/24 + (433*t[7])/12 - (33*t[8])/2 + (565*t[9])/12 - 
       (277*t[10])/8 + (461*t[11])/12 + (781*t[12])/24 + (6949*t[13])/432 + 
       (1825*t[14])/144 - (137*t[15])/9 - t[17]/6 + (4*t[18])/3 + 
       (4*t[21])/3 + (4*t[22])/3 + (4*t[23])/3 + 2*t[24] + (4*t[25])/3 - 
       (5*t[26])/3 - (4*t[27])/3 + 10*t[31] - (2*t[32])/3 + (2*t[33])/3 + 
       (13*t[34])/3 + 10*t[35] - 10*t[37] + (2*t[38])/3 - (2*t[39])/3 + 
       (5*t[40])/3 - (7*t[41])/3 + (5*t[42])/3 - 14*t[43] + (10*t[44])/3 + 
       7*t[45] + (5*t[46])/2 + (14*t[47])/3 - (103*t[48])/12 + 
       (31*t[49])/24 - (21*t[50])/4 + (47*t[51])/48 - (13*t[52])/12 - 
       (31*t[53])/24 + 3*t[54] + t[58]/3 - 7*t[59] + (461*t[60])/12 + 
       (817*t[61])/12 - (373*t[62])/4 - (553*t[63])/12 - (619*t[64])/24 + 
       (889*t[65])/18 - (3599*t[66])/36 - (2*t[67])/3 - 8*t[69] - 2*t[70] + 
       2*t[71] - (8*t[74])/3 - 2*t[75] + 5*t[76] - (4*t[77])/3 - 
       (2*t[78])/3 - 10*t[79] + (103*t[80])/3 + (16*t[81])/3 - 7*t[82] + 
       11*t[83] + (13*t[84])/6 + (31*t[85])/3 + (155*t[86])/3 - 
       (71*t[87])/3 - (71*t[88])/6 - (187*t[89])/24 - t[94] + (2*t[97])/3 + 
       24*t[98] - 8*t[99] - (103*t[100])/2) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((9*t[1])/8 - (179*t[2])/8 + 
       (91*t[3])/8 + (511*t[4])/16 + (119*t[5])/16 + (7*t[6])/2 + 
       (111*t[7])/32 - (1363*t[8])/32 - (135*t[9])/32 - 54*t[10] - 
       (187*t[11])/32 - (761*t[12])/32 + (2023*t[13])/576 - (2309*t[14])/64 - 
       (5609*t[15])/576 - (5*t[18])/4 + t[22]/4 - 2*t[28] - 2*t[29] + 
       2*t[30] + 6*t[31] + (3*t[34])/4 + 6*t[35] - t[37] - 3*t[41] + 
       t[42]/4 + (331*t[43])/32 + 2*t[44] - (383*t[45])/16 + (11*t[46])/8 + 
       (115*t[47])/8 - (191*t[48])/32 + (77*t[49])/32 + (17*t[50])/32 - 
       (143*t[51])/64 - (17*t[52])/32 - (77*t[53])/32 - (331*t[54])/32 + 
       (13*t[59])/8 + (57*t[60])/4 - (339*t[61])/4 + (721*t[62])/16 - 
       (533*t[63])/16 + (997*t[64])/16 - (199*t[65])/4 + (575*t[66])/12 + 
       (3*t[69])/2 - 3*t[70] + 3*t[71] + (9*t[74])/2 - 2*t[75] - t[77] - 
       4*t[79] + (127*t[80])/2 + (7*t[81])/4 - t[82]/2 - (43*t[83])/4 + 
       (19*t[84])/8 + (43*t[85])/4 + (195*t[86])/4 - 14*t[87] - 7*t[88] + 
       (49*t[89])/4 + 6*t[99] - 50*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-143*t[2])/16 - 
       (1585*t[3])/32 + (245*t[4])/16 - (845*t[5])/32 + (15*t[6])/16 + 
       (783*t[7])/16 - (1201*t[8])/16 + (2643*t[9])/32 - (93*t[10])/32 + 
       (555*t[11])/16 - (13*t[12])/4 + (1969*t[13])/96 + (9983*t[14])/192 - 
       (3329*t[15])/288 + 3*t[19] - t[23] - (47*t[29])/4 - (47*t[30])/4 + 
       2*t[31] - (19*t[32])/8 + (13*t[33])/4 + (13*t[34])/2 + 8*t[35] + 
       2*t[36] - t[37] + t[39]/8 - t[40]/8 + 2*t[41] - 2*t[42] + t[43] - 
       (79*t[44])/16 - 2*t[45] + 4*t[47] - (157*t[48])/8 - (47*t[49])/32 + 
       (19*t[50])/2 + (47*t[51])/64 - (19*t[52])/2 + (47*t[53])/32 - 
       (85*t[54])/8 + (9*t[59])/4 + (2177*t[60])/16 + (293*t[61])/8 - 
       (197*t[62])/16 - (1611*t[63])/16 - (179*t[64])/2 - (1845*t[65])/16 - 
       (2673*t[66])/16 + t[67]/2 + 6*t[69] - 3*t[70] + 3*t[71] - t[73] - 
       (49*t[74])/4 - 7*t[75] + 4*t[76] - t[78] + (23*t[79])/2 - 19*t[80] + 
       (33*t[81])/8 - (49*t[82])/8 - 12*t[83] + (411*t[84])/16 + 
       (157*t[85])/8 - (97*t[86])/2 - 46*t[87] - (189*t[88])/8 + 
       (249*t[89])/32 - (15*t[95])/2 + 6*t[99] - 50*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((5*t[1])/9 + (1523*t[2])/144 - (593*t[3])/144 + (3529*t[4])/144 + 
       (87*t[5])/16 + (2059*t[6])/96 - (1343*t[7])/36 + (3451*t[8])/72 - 
       (6097*t[9])/288 - (373*t[10])/32 - (1067*t[11])/288 - 
       (2441*t[12])/288 + (13187*t[13])/1296 + (4121*t[14])/576 + 
       (5693*t[15])/288 - (3*t[18])/2 - (3*t[20])/2 + 4*t[22] - (5*t[27])/9 + 
       (65*t[28])/18 + (209*t[29])/36 - (83*t[30])/36 - (13*t[31])/6 - 
       (5*t[32])/18 + (19*t[33])/36 - (23*t[34])/18 - (7*t[35])/2 - 4*t[36] - 
       (13*t[37])/6 + (5*t[38])/18 + (5*t[39])/18 + (25*t[40])/36 - 
       (53*t[41])/36 + (53*t[42])/36 - (67*t[43])/72 - (481*t[44])/72 + 
       (37*t[45])/36 + (11*t[46])/24 - (109*t[47])/12 + (4535*t[48])/288 + 
       (1135*t[49])/288 - (305*t[50])/32 - (359*t[51])/192 + (835*t[52])/96 - 
       (1135*t[53])/288 + (781*t[54])/96 + (95*t[59])/24 - (80*t[60])/9 + 
       (133*t[61])/18 + (9379*t[62])/144 - (379*t[63])/18 - (733*t[64])/8 + 
       (2333*t[65])/432 + (553*t[66])/432 - t[67]/4 + (11*t[69])/6 - 
       t[70]/2 + t[71]/2 + t[72] - (5*t[73])/12 + (14*t[74])/3 + 
       (29*t[75])/12 - (35*t[76])/36 + (10*t[77])/3 + (55*t[78])/18 - t[79] - 
       (37*t[80])/9 - (7*t[81])/8 - (5*t[82])/2 - (59*t[83])/12 + 
       (53*t[84])/16 - (245*t[85])/72 - (479*t[86])/12 + (14*t[87])/9 + 
       (16*t[88])/9 - (33*t[89])/16 - t[95] - (5*t[97])/36 - (25*t[98])/6 + 
       (85*t[99])/6 - (299*t[100])/6) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*((81*t[2])/4 + (227*t[3])/8 + 
       (9*t[4])/4 + (27*t[5])/4 - 13*t[6] + 2*t[7] - 24*t[8] - (81*t[9])/4 - 
       (237*t[10])/8 + 20*t[11] - (83*t[12])/8 + (557*t[13])/72 - 
       (509*t[14])/16 + (1157*t[15])/144 - 4*t[20] + 4*t[22] - t[28] + 
       (3*t[29])/2 + t[30] + 3*t[31] - t[32]/2 - 8*t[34] - 2*t[35] + 
       4*t[36] - 4*t[37] + t[38] - t[39] + 3*t[40] - 2*t[41] + 2*t[42] + 
       3*t[43] + (41*t[44])/4 + 7*t[45] - t[46]/2 - 9*t[47] - (15*t[48])/2 - 
       (85*t[49])/8 + (23*t[50])/2 + (95*t[51])/16 - (27*t[52])/2 + 
       (53*t[53])/8 - (31*t[54])/2 - (13*t[59])/4 - 21*t[60] - (57*t[61])/4 + 
       (307*t[62])/48 - (1867*t[63])/48 - (383*t[64])/12 - (613*t[65])/72 - 
       (1513*t[66])/36 - 6*t[69] + 18*t[72] - t[74] - 6*t[75] - (5*t[76])/2 - 
       2*t[77] + 7*t[78] - 8*t[79] + 5*t[80] - (7*t[81])/2 - 10*t[82] - 
       (16*t[83])/3 - (127*t[84])/12 + (7*t[85])/3 + (136*t[86])/3 + 
       (53*t[87])/6 + (29*t[88])/12 - (529*t[89])/24 + 2*t[93] + 2*t[95] - 
       3*t[96] - (9*t[97])/2 - 42*t[98] + 60*t[99] - 48*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      (2*t[1] - (73*t[2])/12 + (565*t[3])/24 + (265*t[4])/6 + (141*t[5])/16 + 
       (69*t[6])/8 - (143*t[7])/8 + (53*t[8])/24 - (1499*t[9])/48 - 
       (87*t[10])/4 + (73*t[11])/6 - (1069*t[12])/48 + (295*t[13])/24 - 
       (2179*t[14])/72 + (6083*t[15])/864 - 3*t[18] - 9*t[20] + 12*t[22] - 
       2*t[28] + 2*t[29] + t[30]/3 - 10*t[31] - (49*t[32])/6 + 5*t[33] - 
       (23*t[34])/3 - 10*t[35] + 2*t[38] - 2*t[39] + 5*t[40] - t[41]/2 + 
       t[42]/2 + (7*t[43])/4 + (47*t[44])/6 - 4*t[45] - 2*t[46] + 5*t[47] + 
       (199*t[48])/24 + (7*t[49])/24 + (47*t[50])/24 + (41*t[51])/48 - 
       (191*t[52])/24 - (7*t[53])/24 - (197*t[54])/24 + (11*t[59])/2 - 
       (341*t[60])/12 - 52*t[61] + (527*t[62])/8 - (1009*t[63])/24 - 
       (379*t[64])/6 - (163*t[65])/18 + (112*t[66])/3 - (3*t[67])/2 + 
       5*t[69] + 3*t[70] - 3*t[71] + (10*t[74])/3 - 2*t[75] - 7*t[76] - 
       t[77] + 4*t[78] - 2*t[79] + 15*t[80] - 7*t[81] + t[82]/2 - 14*t[83] + 
       (19*t[84])/4 - (155*t[85])/12 - 7*t[86] + (341*t[87])/12 + 
       (157*t[88])/24 + (5*t[89])/12 - (2*t[95])/3 - t[97] - 60*t[98] + 
       84*t[99] - 47*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-13*t[1])/8 + (91*t[2])/8 - (43*t[3])/8 + (71*t[4])/2 - (53*t[5])/4 + 
       (121*t[6])/8 - (187*t[7])/8 + (37*t[8])/8 + (65*t[9])/4 - 7*t[10] + 
       (43*t[11])/2 + (9*t[12])/8 + (245*t[13])/8 + (153*t[14])/16 + 
       (25*t[15])/8 - 3*t[18] + 4*t[19] - (7*t[21])/2 + (3*t[22])/2 + 
       (15*t[23])/4 - 9*t[31] + (19*t[35])/2 - (13*t[37])/2 + t[41]/4 - 
       t[42]/2 - (21*t[43])/8 - 6*t[44] - (25*t[45])/4 - 6*t[46] + 
       (19*t[47])/2 - (21*t[48])/4 - (7*t[49])/8 + (43*t[50])/4 + 
       (31*t[51])/16 - (37*t[52])/4 + (7*t[53])/8 - 9*t[54] + (51*t[59])/8 + 
       (3*t[60])/4 + (91*t[61])/4 - t[62] - (19*t[63])/4 - (717*t[64])/8 - 
       (133*t[65])/24 - (215*t[66])/24 - t[67]/4 + (11*t[69])/2 - t[70]/2 + 
       t[71]/2 - t[74]/2 - 3*t[75] - t[77]/2 - 8*t[79] - 6*t[80] + 
       (7*t[81])/4 - (31*t[82])/4 + 13*t[83] + (9*t[84])/8 - 8*t[85] - 
       8*t[86] + (27*t[87])/4 + (27*t[88])/8 - (103*t[89])/8 + 12*t[99] - 
       (93*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((29*t[2])/8 - (103*t[3])/4 + (161*t[4])/4 + (91*t[5])/16 + 
       (469*t[6])/16 - (79*t[7])/4 + (17*t[8])/2 + (293*t[9])/16 - 
       (69*t[10])/8 + (479*t[11])/16 - (35*t[12])/16 + (1805*t[13])/48 + 
       (767*t[14])/16 + (533*t[15])/32 - t[18] + 3*t[20] - 3*t[22] + 
       9*t[28] - 5*t[29] - 3*t[30] - (15*t[32])/2 + (15*t[33])/2 - 10*t[35] - 
       6*t[36] - 3*t[37] - (3*t[41])/2 + (3*t[42])/2 - 3*t[43] - 
       (45*t[44])/4 - 3*t[47] + (81*t[48])/16 + (43*t[49])/8 - 
       (87*t[50])/16 - (43*t[51])/16 + (87*t[52])/16 - (43*t[53])/8 + 
       (35*t[54])/16 + (31*t[59])/4 + (493*t[60])/8 + (453*t[61])/8 + 
       (841*t[62])/16 - (737*t[63])/16 - (2877*t[64])/16 - (515*t[65])/24 - 
       (565*t[66])/8 - t[67]/4 + (11*t[69])/2 - t[70]/2 + t[71]/2 + 
       (11*t[74])/2 + t[75] + 6*t[77] + 6*t[78] - 4*t[79] - 9*t[80] + 
       (13*t[81])/2 - (13*t[82])/2 - 20*t[83] + (103*t[84])/8 + 
       (53*t[85])/8 - 77*t[86] - (377*t[87])/8 - (371*t[88])/16 + 
       (79*t[89])/16 + 12*t[99] - (93*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*(120*t[98] - 144*t[99] - 
       46*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*
      (-10*t[59] - (165*t[60])/2 + 23*t[61] + (143*t[62])/4 + (185*t[63])/4 - 
       (327*t[64])/2 + t[65] + 54*t[66] + 2*t[67] + 6*t[68] - 16*t[72] - 
       8*t[73] + 4*t[74] + 8*t[75] - 8*t[76] + 18*t[77] - 56*t[78] + 
       8*t[79] + 32*t[80] - 27*t[81] + 35*t[82] - 10*t[84] + (7*t[85])/2 - 
       32*t[86] + (17*t[87])/2 + (17*t[88])/4 - (47*t[89])/2 - t[91]/3 + 
       2*t[92] - 2*t[93] - 2*t[94] + 120*t[98] - 144*t[99] - 46*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*
      (t[1]/6 + (53*t[2])/12 - (407*t[3])/24 + (65*t[4])/6 + (49*t[6])/24 - 
       (7*t[7])/4 + (40*t[8])/3 - (26*t[9])/3 - t[10]/2 + (133*t[11])/8 - 
       (23*t[12])/12 + (185*t[13])/18 + (137*t[14])/18 + (749*t[15])/432 - 
       3*t[20] + t[23]/3 - 6*t[28] - (7*t[29])/2 - (5*t[30])/12 - 
       (71*t[32])/12 + (53*t[33])/12 - t[34]/3 - 5*t[35] - t[40]/3 + 
       (5*t[44])/12 + t[45]/3 - t[47]/3 - (17*t[48])/24 + (37*t[49])/12 - 
       (21*t[50])/8 - (37*t[51])/24 + (71*t[52])/24 - (37*t[53])/12 - 
       (33*t[54])/8 + t[59]/12 + (9*t[60])/4 + (199*t[61])/6 - 
       (251*t[62])/12 - (44*t[63])/3 + (763*t[64])/24 - (85*t[65])/36 - 
       (452*t[66])/9 - t[69] + (4*t[70])/3 - (4*t[71])/3 + (10*t[74])/3 - 
       10*t[75] + (5*t[76])/3 - (17*t[78])/6 + 4*t[79] - t[80]/3 + 4*t[81] - 
       (9*t[82])/2 + (19*t[83])/2 + (71*t[84])/12 + (37*t[85])/6 + 2*t[86] + 
       (51*t[87])/4 + (191*t[88])/24 + (305*t[89])/24 - (2*t[95])/3 + t[96] + 
       t[97]/3 + 8*t[98] - 8*t[99] - 46*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((17*t[1])/6 - (245*t[2])/12 - (209*t[3])/24 + (437*t[4])/12 + 
       (233*t[5])/16 + (5*t[6])/2 - (299*t[7])/24 - (475*t[8])/24 - 
       (2071*t[9])/48 + (19*t[10])/8 + (133*t[11])/3 - (1511*t[12])/48 + 
       (16639*t[13])/432 - (839*t[14])/48 + (345*t[15])/32 + (2*t[18])/3 + 
       t[22] + 2*t[23] + (2*t[27])/3 - (16*t[28])/3 - (5*t[29])/3 + 
       (23*t[30])/3 + 3*t[31] - (8*t[32])/3 + (8*t[33])/3 - (32*t[34])/3 - 
       4*t[35] + 2*t[37] + (8*t[38])/3 - (16*t[39])/3 + (20*t[40])/3 - 
       t[41]/3 + (7*t[42])/3 + (77*t[43])/12 + (17*t[44])/3 - (61*t[45])/12 - 
       2*t[46] + 19*t[47] - (23*t[48])/24 + (29*t[49])/6 - (13*t[50])/8 + 
       (7*t[51])/4 - (51*t[52])/8 - (29*t[53])/6 - (179*t[54])/8 - 
       (5*t[59])/2 + (323*t[60])/12 + (55*t[61])/12 + (175*t[62])/6 - 
       (91*t[63])/3 + 56*t[64] - (1055*t[65])/36 - (3409*t[66])/36 - 
       3*t[74] - 2*t[75] - (40*t[76])/3 - 9*t[77] + (34*t[78])/3 + 2*t[79] + 
       (107*t[80])/6 + (13*t[81])/2 - 7*t[82] - 19*t[83] + (19*t[84])/2 + 
       (7*t[85])/12 - t[86]/2 - (167*t[87])/12 - (167*t[88])/24 + 
       (119*t[89])/8 - (4*t[97])/3 - 118*t[98] + 130*t[99] - 46*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((4*t[1])/3 - (85*t[2])/12 - (301*t[3])/12 + 23*t[4] - (623*t[5])/24 - 
       (197*t[6])/48 + 42*t[7] - (22*t[8])/3 + (23*t[9])/2 - (47*t[10])/2 + 
       (1861*t[11])/48 - (163*t[12])/24 + (1531*t[13])/72 + (83*t[14])/144 + 
       (25*t[15])/27 - 9*t[28] - (17*t[29])/6 + (61*t[30])/6 + (8*t[31])/3 + 
       2*t[32] - 5*t[33] - (11*t[34])/3 + 4*t[35] + 8*t[36] - 2*t[37] + 
       (8*t[38])/3 + (5*t[39])/3 + (7*t[40])/3 + t[41] - t[42] + 
       (17*t[43])/6 + (95*t[44])/6 + (31*t[45])/3 - (26*t[47])/3 - 
       (7*t[48])/48 - (16*t[49])/3 + (207*t[50])/16 + (14*t[51])/3 - 
       (877*t[52])/48 + (16*t[53])/3 - (361*t[54])/48 - (43*t[59])/6 + 
       (259*t[60])/24 + (475*t[61])/8 + (671*t[62])/48 - (325*t[63])/16 + 
       (223*t[64])/48 + (1699*t[65])/72 - (451*t[66])/8 + 2*t[72] - 2*t[73] - 
       t[74] + 2*t[75] - (49*t[76])/3 - (53*t[77])/6 + (79*t[78])/3 - 
       19*t[79] + 5*t[80] + (41*t[81])/6 - (41*t[82])/6 - 10*t[83] + 
       (383*t[84])/24 + (253*t[85])/24 - (44*t[86])/3 + (209*t[87])/8 + 
       (217*t[88])/16 + (1069*t[89])/48 - (4*t[97])/3 - 118*t[98] + 
       130*t[99] - 46*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((11*t[1])/6 - 23*t[2] + 
       (59*t[3])/4 - (407*t[4])/12 - (301*t[5])/24 - (603*t[6])/16 + 
       (295*t[7])/4 - (309*t[8])/4 - (17*t[9])/12 - (7*t[10])/8 + 
       (239*t[11])/16 + (91*t[12])/12 - (919*t[13])/54 - (1787*t[14])/72 - 
       (1153*t[15])/54 - (2*t[18])/3 - 3*t[20] + t[22] - (10*t[23])/3 + 
       (4*t[27])/3 - (47*t[28])/3 - (21*t[29])/2 + t[30]/3 - t[31] + 
       (23*t[32])/6 - (17*t[33])/3 - (10*t[34])/3 + 6*t[35] + 6*t[36] + 
       (4*t[37])/3 + (7*t[38])/3 + (3*t[39])/2 - (11*t[40])/6 + 2*t[41] - 
       2*t[42] + 4*t[43] + 25*t[44] - (5*t[45])/2 + (3*t[46])/2 + 
       (21*t[47])/2 - (525*t[48])/16 - (61*t[49])/8 + (1193*t[50])/48 + 
       (253*t[51])/48 - (1273*t[52])/48 + (77*t[53])/8 - (817*t[54])/48 + 
       (19*t[59])/12 + (479*t[60])/24 + (47*t[61])/24 - (7229*t[62])/48 - 
       (2399*t[63])/48 + (2693*t[64])/16 - (545*t[65])/24 - (1837*t[66])/72 - 
       t[67]/2 + t[69] + (7*t[70])/3 - (7*t[71])/3 - (25*t[74])/3 - 
       12*t[75] - 4*t[76] - (26*t[77])/3 + (5*t[78])/2 + (71*t[80])/3 - 
       (10*t[81])/3 + 6*t[82] + 31*t[83] + (19*t[84])/8 - (65*t[85])/24 + 
       (425*t[86])/3 + (1039*t[87])/24 + (791*t[88])/48 - (1091*t[89])/48 - 
       (4*t[95])/3 - (4*t[96])/3 + (3*t[97])/2 - 40*t[98] + 44*t[99] - 
       (275*t[100])/6) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-53*t[1])/9 + (5*t[2])/18 - (27631*t[3])/576 - 
       (17489*t[4])/288 - (12479*t[5])/384 + (1655*t[6])/96 + 
       (38909*t[7])/576 + (42583*t[8])/576 + (148537*t[9])/1152 - 
       (4303*t[10])/192 + (29077*t[11])/576 + (65153*t[12])/1152 + 
       (62347*t[13])/1296 + (28349*t[14])/384 - (19549*t[15])/2304 - 
       (7*t[17])/12 + (3*t[18])/2 - t[19] + t[20] + 2*t[21] + (25*t[22])/24 - 
       2*t[23] + (10*t[24])/3 + 4*t[25] - 3*t[26] - (11*t[27])/18 + 
       (49*t[28])/18 - (7*t[29])/18 - (31*t[30])/36 - (10*t[31])/3 + 
       (19*t[32])/9 - (22*t[33])/9 + (353*t[34])/18 + 2*t[35] + t[36] + 
       (2*t[37])/3 - (40*t[38])/9 + (73*t[39])/18 - (119*t[40])/18 + 
       (23*t[41])/144 + (25*t[42])/144 + (295*t[43])/288 - t[44]/9 - 
       (3805*t[45])/144 + (17*t[46])/3 + (1427*t[47])/24 - (3587*t[48])/288 + 
       (371*t[49])/72 + (69*t[50])/32 - (145*t[51])/16 + (161*t[52])/96 - 
       (371*t[53])/72 + (291*t[54])/32 - (77*t[59])/16 + (2381*t[60])/144 + 
       (5869*t[61])/144 - (20329*t[62])/144 - (205*t[63])/144 + 
       (13229*t[64])/96 + (37283*t[65])/864 - (157355*t[66])/864 - t[67]/6 - 
       (11*t[69])/6 - 2*t[70] + 2*t[71] + t[72] + (101*t[73])/12 - 
       (74*t[74])/3 - (143*t[75])/12 + (505*t[76])/18 + (17*t[77])/24 - 
       (152*t[78])/9 + (625*t[79])/24 + (3289*t[80])/36 + (275*t[81])/24 + 
       (49*t[82])/8 + 21*t[83] - (21*t[84])/8 + (2749*t[85])/144 + 
       (2755*t[86])/24 - (5525*t[87])/144 - (5525*t[88])/288 - 
       (187*t[89])/32 + t[94]/6 + (31*t[97])/18 + (533*t[98])/3 - 
       (497*t[99])/3 - (545*t[100])/12) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-2*t[1])/3 + t[2]/2 + 
       (777*t[3])/64 - (121*t[4])/12 - (1627*t[5])/96 + (1613*t[6])/384 + 
       (2377*t[7])/48 - (125*t[8])/24 + (11771*t[9])/192 - (67*t[10])/8 - 
       (6101*t[11])/384 + (1751*t[12])/96 - (15413*t[13])/1728 + 
       (5113*t[14])/384 + (1381*t[15])/864 - 2*t[19] - 2*t[21] - t[22] + 
       (5*t[23])/3 + t[24] - t[25] + (23*t[28])/2 + (31*t[29])/4 + 
       (709*t[30])/48 - t[31]/6 + (137*t[32])/48 - (229*t[33])/48 + 
       (99*t[34])/8 + 3*t[35] + t[37]/3 - t[38] + (197*t[39])/24 - 
       (197*t[40])/24 - (9*t[41])/4 + (5*t[42])/4 + (11*t[43])/12 - 
       (29*t[44])/12 - (69*t[45])/4 + t[46] + (49*t[47])/4 + 
       (521*t[48])/128 + (15*t[49])/2 + (1393*t[50])/128 - (39*t[51])/8 - 
       (753*t[52])/128 - (5*t[53])/2 + (2557*t[54])/384 - (43*t[59])/48 - 
       (15809*t[60])/192 - (5893*t[61])/192 + (9307*t[62])/384 + 
       (9895*t[63])/128 - (7169*t[64])/384 + (3761*t[65])/64 + 
       (42995*t[66])/576 - (13*t[69])/6 + (4*t[72])/3 + 17*t[73] - 
       (33*t[74])/4 + (37*t[75])/3 + (365*t[76])/12 + t[77]/4 - 
       (119*t[78])/3 + (13*t[79])/4 + (31*t[80])/2 + (125*t[81])/24 + 
       (35*t[82])/6 - (217*t[83])/12 - (4831*t[84])/192 + (1337*t[85])/192 + 
       (51*t[86])/4 - (2371*t[87])/192 - (5987*t[88])/384 - 
       (5683*t[89])/384 + 7*t[95] + 6*t[96] + (13*t[97])/4 + 180*t[98] - 
       168*t[99] - (539*t[100])/12) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((4*t[1])/3 - (61*t[2])/4 - 
       (47*t[3])/24 - (683*t[4])/12 + (2687*t[5])/48 - (301*t[6])/24 + 
       (227*t[7])/24 - (511*t[8])/8 - (885*t[9])/16 - (173*t[10])/4 + 
       (443*t[11])/24 - (553*t[12])/48 - (5243*t[13])/144 + (20*t[14])/3 + 
       (19807*t[15])/864 + (3*t[17])/2 - (14*t[18])/9 - 2*t[19] - 
       (7*t[21])/3 + (4*t[22])/3 + (14*t[23])/3 - (13*t[24])/3 - 
       (2*t[25])/3 - (11*t[26])/6 - (4*t[27])/3 + 3*t[28] - (13*t[29])/6 + 
       (5*t[30])/6 + (28*t[31])/3 - (5*t[32])/6 + (5*t[33])/6 + 2*t[34] + 
       3*t[35] + 2*t[36] + 4*t[37] + (13*t[38])/3 + (3*t[39])/2 + 5*t[40] + 
       (25*t[41])/6 - 3*t[42] + 14*t[43] + 10*t[44] + (37*t[45])/2 + 
       (41*t[46])/6 - (130*t[47])/3 + 9*t[48] - (49*t[49])/8 - (31*t[50])/3 + 
       (113*t[51])/48 - (11*t[52])/3 + (49*t[53])/8 + (103*t[54])/12 - 
       (5*t[58])/6 + (31*t[59])/12 + (407*t[60])/24 + (1117*t[61])/24 + 
       (835*t[62])/18 + (253*t[63])/36 + (16499*t[64])/144 - 
       (8519*t[65])/216 + (7337*t[66])/216 + (2*t[67])/3 + t[69] + 
       (7*t[70])/3 - (7*t[71])/3 + (17*t[74])/2 + 9*t[75] - 8*t[76] - 
       2*t[77] + (39*t[78])/2 - (38*t[79])/3 + (71*t[80])/3 + (29*t[81])/12 + 
       t[82]/4 - (164*t[83])/9 + (173*t[84])/18 - (689*t[85])/72 - 
       (215*t[86])/18 + (1021*t[87])/72 + (1021*t[88])/144 + 
       (329*t[89])/144 - (4*t[94])/3 + t[97]/6 - 40*t[98] + 44*t[99] - 
       (265*t[100])/6) + HPL[{1}, 1 - v]^2*Qep[u, w, v]*
      ((-32*t[60])/3 + (856*t[61])/9 + (458*t[62])/9 + (74*t[63])/3 + 
       4*t[64] - (1772*t[65])/27 - (1252*t[66])/27 - 8*t[79] - (32*t[83])/9 - 
       (16*t[84])/9 + (16*t[85])/9 - (760*t[86])/9 + (176*t[87])/9 + 
       (88*t[88])/9 - (32*t[89])/3 - (128*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*(t[1]/4 + (101*t[2])/8 + 
       (23*t[3])/4 + (167*t[4])/8 + (213*t[5])/16 + (15*t[6])/2 - t[7]/2 + 
       (39*t[8])/4 + (237*t[9])/16 - (259*t[10])/16 + (247*t[11])/8 - 
       (7*t[12])/4 + (1615*t[13])/72 + (643*t[14])/48 + (323*t[15])/288 - 
       (3*t[20])/2 + 2*t[22] - (3*t[26])/2 - t[28] + 2*t[29] - 6*t[30] - 
       t[32] - (5*t[33])/2 + t[34]/2 + 4*t[35] - (5*t[37])/2 + t[38] + 
       t[40] - (5*t[41])/4 + (5*t[42])/4 + t[44] - 2*t[47] + 5*t[48] + 
       (33*t[49])/16 - (13*t[50])/2 - (31*t[51])/16 + 4*t[52] - 
       (33*t[53])/16 - (17*t[54])/8 - t[58]/2 + t[59]/4 + (137*t[60])/4 + 
       (117*t[61])/4 - (163*t[62])/16 - (399*t[63])/16 - (411*t[64])/8 - 
       (215*t[65])/24 - (1879*t[66])/24 + (3*t[69])/2 + 7*t[73] + 4*t[74] + 
       t[75]/2 + (3*t[76])/2 + 3*t[78] + 5*t[79] + 5*t[80] + (11*t[81])/4 + 
       t[82]/4 - (75*t[83])/4 + (61*t[84])/8 + (21*t[85])/2 + 4*t[86] - 
       22*t[87] - (27*t[88])/2 - (209*t[89])/16 + t[97]/2 + 12*t[98] - 
       4*t[99] - (161*t[100])/4) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((3*t[1])/4 + (63*t[2])/8 - (49*t[3])/8 + 
       (101*t[4])/4 - (139*t[5])/16 - (45*t[6])/16 - (45*t[7])/8 - 
       (11*t[8])/4 + (183*t[9])/16 + (259*t[10])/8 + (539*t[11])/16 - 
       (97*t[12])/16 + (3067*t[13])/144 + (1025*t[14])/96 + (1067*t[15])/96 - 
       t[17]/4 + (2*t[19])/3 - (3*t[21])/2 + (3*t[23])/2 + 2*t[24] + t[26] - 
       (17*t[31])/2 - t[34] - (15*t[35])/2 - (19*t[37])/4 - t[38]/2 + 
       t[39]/2 - (3*t[41])/4 + (3*t[42])/4 - t[43]/2 + 2*t[45] - 8*t[47] + 
       (23*t[48])/16 + (67*t[49])/8 + (75*t[50])/16 - (51*t[51])/32 - 
       (91*t[52])/16 - (53*t[53])/8 - (195*t[54])/16 + (3*t[59])/4 + 
       (153*t[60])/16 - (1021*t[61])/48 - (1103*t[62])/48 - (33*t[63])/16 - 
       (2271*t[64])/32 + (541*t[65])/18 + (6049*t[66])/144 + (3*t[67])/4 + 
       (3*t[69])/2 + (11*t[74])/2 - 2*t[75] + t[77]/2 - (7*t[78])/2 + 
       t[79]/2 + 4*t[80] + 2*t[81] - (11*t[82])/2 + (11*t[83])/12 + 
       (61*t[84])/48 - (643*t[85])/48 + (109*t[86])/3 - (419*t[87])/48 - 
       (419*t[88])/96 - (87*t[89])/32 - (3*t[94])/4 + (3*t[96])/2 + t[97] + 
       12*t[98] - 4*t[99] - (161*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*(120*t[2] - (345*t[3])/2 - 12*t[4] - 
       74*t[5] + (207*t[6])/2 - 30*t[7] + 131*t[8] + 151*t[9] - 3*t[10] - 
       (233*t[11])/2 + 45*t[12] + (214*t[13])/3 + (404*t[14])/3 - 
       (3755*t[15])/36 - 91*t[29] + 6*t[30] + 96*t[34] - 29*t[39] + 
       28*t[40] - 29*t[44] - 6*t[46] - (185*t[48])/2 - (187*t[50])/2 + 
       (3*t[51])/2 + (187*t[52])/2 + 2*t[53] + (209*t[54])/2 - 40*t[59] + 
       477*t[60] - 153*t[61] + (109*t[62])/2 - (513*t[63])/2 - 113*t[64] - 
       274*t[65] - (1211*t[66])/3 + 8*t[69] - 12*t[74] - 38*t[76] + 
       54*t[78] - 32*t[79] + 24*t[80] + 66*t[81] + 12*t[82] + 4*t[83] + 
       54*t[84] + 92*t[85] - 28*t[86] + 6*t[87] + 3*t[88] + (81*t[89])/2 - 
       40*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 
       1 - u]*(40*t[2] + 66*t[3] + 198*t[4] + (81*t[5])/2 + (165*t[6])/2 - 
       119*t[7] - 138*t[8] - (457*t[9])/2 + 26*t[10] - 401*t[11] - 
       (557*t[12])/2 - (4819*t[13])/36 - (677*t[14])/6 + (643*t[15])/12 + 
       4*t[22] + 12*t[29] - 40*t[41] + 40*t[42] - 31*t[43] + 107*t[45] - 
       190*t[47] - 40*t[59] + 63*t[60] - 710*t[61] + (793*t[62])/2 - 
       (513*t[63])/2 - (1073*t[64])/2 + (239*t[65])/3 + (2729*t[66])/3 - 
       82*t[77] - 372*t[80] - 12*t[81] - 42*t[82] - 8*t[83] - 2*t[84] - 
       16*t[85] + 38*t[86] + 8*t[87] + 4*t[88] + (309*t[89])/2 - 40*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((23*t[1])/9 + (155*t[2])/18 + (1871*t[3])/288 + (185*t[4])/12 + 
       (1357*t[5])/144 + (2453*t[6])/576 - (647*t[7])/24 + (88*t[8])/9 - 
       (709*t[9])/32 - (73*t[10])/24 + (3923*t[11])/576 - (1423*t[12])/144 + 
       (18389*t[13])/864 - (16073*t[14])/1728 - (112*t[15])/81 + t[19] - 
       t[20] + t[22] + 3*t[28] + (65*t[29])/18 + (29*t[30])/72 - 
       (29*t[31])/9 - (41*t[32])/24 + (41*t[33])/24 - (199*t[34])/36 - 
       6*t[35] - (8*t[36])/3 - (17*t[37])/3 + (13*t[38])/9 + (49*t[39])/36 + 
       (29*t[40])/36 - (47*t[43])/18 - (199*t[44])/36 + (91*t[45])/18 - 
       (83*t[47])/18 + (2563*t[48])/576 - (19*t[49])/72 - (1463*t[50])/192 + 
       (175*t[51])/144 + (2725*t[52])/576 + (19*t[53])/72 + (85*t[54])/576 + 
       (25*t[59])/72 + (3071*t[60])/288 + (2537*t[61])/96 + 
       (6667*t[62])/576 - (3571*t[63])/64 - (9121*t[64])/576 - 
       (9655*t[65])/864 - (16567*t[66])/288 - (14*t[69])/3 + (14*t[72])/3 + 
       t[74]/6 + t[75]/3 - (85*t[76])/18 + (23*t[77])/18 + (32*t[78])/9 + 
       (35*t[79])/6 - (5*t[80])/3 + (29*t[81])/36 + t[82]/9 - (19*t[83])/3 + 
       (1393*t[84])/288 - (1255*t[85])/288 - (257*t[86])/18 - (27*t[87])/32 - 
       (27*t[88])/64 - (859*t[89])/576 - (13*t[97])/18 - (92*t[98])/3 + 
       (92*t[99])/3 - (233*t[100])/6) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(12*t[98] - 12*t[99] - (155*t[100])/4) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (t[59]/4 - (23*t[60])/16 + (2725*t[61])/48 + (449*t[62])/48 - 
       (637*t[63])/16 + (23*t[64])/32 - (2029*t[65])/72 - (5611*t[66])/144 - 
       t[67]/4 - t[69]/2 + 2*t[72] + (5*t[74])/2 - 2*t[75] + 2*t[76] + 
       t[77]/2 + (3*t[78])/2 + (7*t[79])/2 + 14*t[80] + t[81]/2 + t[82] - 
       (101*t[83])/12 - (79*t[84])/48 - (371*t[85])/48 - (106*t[86])/3 + 
       (377*t[87])/48 + (377*t[88])/96 - (327*t[89])/32 + t[94]/4 + 
       (3*t[96])/2 + t[97] + 12*t[98] - 12*t[99] - (155*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-71*t[1])/6 - (527*t[2])/36 - (119*t[3])/4 + (79*t[4])/6 - 
       (965*t[5])/24 + (4657*t[6])/72 - (61*t[7])/8 - (1549*t[8])/24 + 
       (329*t[9])/4 + (2071*t[10])/24 - (431*t[11])/6 + (1567*t[12])/24 - 
       (15329*t[13])/432 + (626*t[14])/9 - (6707*t[15])/216 - t[17]/6 - 
       (8*t[18])/3 + 2*t[20] - (14*t[21])/3 + (29*t[22])/3 + 3*t[23] - 
       t[24]/3 + (4*t[25])/3 + (11*t[26])/3 - 4*t[27] + 19*t[28] - 
       (79*t[29])/6 - (71*t[30])/6 + (14*t[31])/3 + (5*t[32])/2 + 
       (13*t[33])/6 + (41*t[34])/3 + 10*t[35] + 3*t[37] - (35*t[38])/3 + 
       (95*t[39])/6 - (67*t[40])/3 + (19*t[41])/6 - (26*t[42])/9 - 
       (139*t[43])/8 - (5*t[44])/3 - (25*t[45])/12 - 8*t[46] - (7*t[47])/3 - 
       (7*t[48])/6 + (41*t[49])/4 - (16*t[50])/3 - (87*t[51])/8 + 
       (116*t[52])/3 - (41*t[53])/4 + (33*t[54])/2 - t[58]/3 + 
       (373*t[59])/36 + (225*t[60])/4 - (67*t[61])/4 + (2821*t[62])/24 + 
       (3979*t[63])/24 - (2051*t[64])/8 - (671*t[65])/12 + (670*t[66])/9 - 
       (10*t[68])/3 + 9*t[69] + (5*t[70])/3 - (5*t[71])/3 + t[72] + 4*t[73] + 
       t[74]/3 + 12*t[75] + (11*t[76])/2 + (23*t[77])/2 - t[78]/6 - 5*t[79] - 
       (406*t[80])/3 + (49*t[81])/3 - (29*t[82])/6 - 73*t[83] + 
       (53*t[84])/6 + (5*t[85])/3 - 203*t[86] - (521*t[87])/6 - 
       (535*t[88])/12 - (393*t[89])/8 - (2*t[90])/3 + (5*t[97])/2 + 
       52*t[98] - 94*t[99] - (116*t[100])/3) + 
     HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - v]*((-23*t[1])/2 + (137*t[2])/2 - 
       (1551*t[3])/8 - (275*t[4])/2 - (325*t[5])/2 + (235*t[6])/2 + 
       174*t[7] - 31*t[8] + (1459*t[9])/4 - (845*t[10])/4 - 37*t[11] + 
       (633*t[12])/4 + (8257*t[13])/72 + 146*t[14] + (9245*t[15])/144 + 
       12*t[19] + 16*t[20] + 12*t[21] - 40*t[22] - 9*t[23] + 4*t[24] - 
       12*t[27] + 24*t[28] - (21*t[29])/2 - 31*t[30] + 40*t[31] + 6*t[32] - 
       9*t[33] + 77*t[34] - 24*t[35] + 8*t[36] + 8*t[37] - 17*t[38] + 
       7*t[39] - (49*t[40])/2 + 14*t[41] - 14*t[42] + (61*t[43])/4 - 
       t[44]/4 - (191*t[45])/2 - 6*t[46] + (221*t[47])/2 - (215*t[48])/4 - 
       (207*t[49])/2 + (365*t[50])/4 + (125*t[51])/2 - (313*t[52])/4 + 
       (183*t[53])/2 + (299*t[54])/2 + 4*t[55] - 2*t[56] - 12*t[57] + 
       (39*t[59])/2 + 207*t[60] + (485*t[61])/4 + (971*t[62])/8 + 
       (1917*t[63])/8 - (1941*t[64])/8 + (2155*t[65])/12 + (361*t[66])/12 - 
       3*t[67] - 4*t[70] + 4*t[71] - 36*t[72] - 28*t[73] - 2*t[74] + 
       104*t[75] - (113*t[76])/2 + 6*t[77] + (487*t[78])/2 - 20*t[79] + 
       182*t[80] + 6*t[81] + t[82]/2 - 86*t[83] + (333*t[84])/4 - 
       (57*t[85])/4 - 233*t[86] - (479*t[87])/4 + (9*t[88])/8 + 
       (35*t[89])/2 - 2*t[93] - 8*t[95] - 38*t[96] - 2*t[97] + 72*t[98] - 
       72*t[99] - 36*t[100]) + HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u]*
      (23*t[1] - (53*t[2])/2 - 25*t[3] - 96*t[4] - (183*t[5])/4 + 
       (781*t[6])/8 + (65*t[7])/8 + (151*t[8])/8 + (571*t[9])/8 + 
       (609*t[10])/8 - (153*t[11])/4 + 29*t[12] + (9373*t[13])/144 + 
       (27*t[14])/4 + (3113*t[15])/48 + 6*t[17] + 3*t[18] + 12*t[19] - 
       36*t[20] - 8*t[21] - 17*t[22] - 6*t[24] - 6*t[25] - (5*t[26])/2 - 
       52*t[28] - 15*t[29] - 36*t[30] + 4*t[31] - 7*t[32] + 5*t[33] + 
       33*t[34] + 24*t[35] - 12*t[36] - 24*t[37] + 9*t[38] - 33*t[39] - 
       4*t[40] - (9*t[41])/2 - (7*t[42])/2 + (61*t[43])/8 + (13*t[44])/2 - 
       (113*t[45])/4 + 31*t[46] - (65*t[47])/2 - (223*t[48])/2 - 
       (145*t[49])/4 + 29*t[50] - (37*t[51])/2 - 3*t[52] + (169*t[53])/4 + 
       80*t[54] - (5*t[56])/2 - 2*t[57] - (17*t[58])/2 + 18*t[59] - 
       (301*t[60])/2 - 154*t[61] + (377*t[62])/2 + (535*t[63])/2 + 
       (123*t[64])/2 - (905*t[65])/6 + (323*t[66])/2 + t[67] + 4*t[70] - 
       4*t[71] + 10*t[74] + 4*t[76] - 8*t[77] - 6*t[78] + 12*t[80] - 
       9*t[81] - t[82] - 17*t[84] + (15*t[85])/2 - 71*t[86] - (15*t[87])/2 - 
       (15*t[88])/4 - (531*t[89])/4 + 2*t[92] - 4*t[94] + 4*t[97] + 
       72*t[98] - 72*t[99] - 36*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-t[1]/2 - t[2]/4 + (219*t[3])/16 + 
       (235*t[5])/8 + (251*t[6])/32 - (263*t[7])/4 + (51*t[8])/2 - 
       (2293*t[9])/48 + 15*t[10] - (403*t[11])/32 - (19*t[12])/8 + 
       (5*t[13])/16 - (1547*t[14])/96 - (511*t[15])/144 + 3*t[28] - 
       (11*t[29])/4 - 3*t[30] - 4*t[31] - (9*t[32])/2 + (9*t[33])/2 - 
       t[34]/2 - 3*t[35] - 6*t[36] - t[38] + t[39]/2 - 2*t[40] - 
       (7*t[43])/2 - (33*t[44])/2 - (7*t[45])/2 + (5*t[47])/2 + 
       (237*t[48])/32 + (13*t[49])/2 - (843*t[50])/32 - 4*t[51] + 
       (907*t[52])/32 - (13*t[53])/2 + (43*t[54])/32 - 2*t[59] - 
       (395*t[60])/16 - (1059*t[61])/16 + (245*t[62])/32 - (1525*t[63])/32 + 
       (1489*t[64])/32 - (827*t[65])/144 - (227*t[66])/48 + 6*t[72] - 
       15*t[75] + (25*t[76])/2 + (7*t[77])/2 - 35*t[78] + 24*t[79] - 
       9*t[80] - t[81]/2 - t[82] + 12*t[83] - (241*t[84])/16 - 
       (69*t[85])/16 + 4*t[86] - (53*t[87])/16 - (53*t[88])/32 - 
       (169*t[89])/32 + t[97]/2 + 42*t[98] - 42*t[99] - 36*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-25*t[1])/6 + (13*t[2])/4 + (75*t[3])/16 + (499*t[4])/8 - 
       (1455*t[5])/32 + (25*t[6])/2 + (197*t[7])/16 - (261*t[8])/16 + 
       (1935*t[9])/32 - (389*t[10])/16 - (137*t[11])/16 + (291*t[12])/32 - 
       (4021*t[13])/144 + (4631*t[14])/96 - (7513*t[15])/192 - (3*t[22])/2 - 
       4*t[27] + 8*t[28] + 4*t[29] - 7*t[30] - 3*t[31] + t[32] - t[33] + 
       4*t[34] + 6*t[35] + 9*t[37] - t[38] + 5*t[39] - (5*t[40])/2 - 
       t[41]/4 + t[42]/4 - 7*t[43] - 7*t[44] + (5*t[45])/4 - (21*t[46])/2 - 
       3*t[47] + (91*t[48])/8 + (73*t[49])/4 - (69*t[50])/8 - (27*t[51])/4 + 
       (93*t[52])/8 - (73*t[53])/4 + (81*t[54])/8 + (7*t[59])/3 + 60*t[60] + 
       (115*t[61])/3 - 63*t[62] + (119*t[63])/2 - (271*t[64])/8 - 
       (3407*t[65])/72 - (3737*t[66])/72 + 2*t[67] + 16*t[69] - 9*t[70] + 
       9*t[71] - 15*t[74] + (7*t[76])/2 + (9*t[77])/2 - 5*t[78] - 6*t[79] - 
       (55*t[80])/2 + 3*t[81] - (51*t[82])/4 - (9*t[83])/2 - (9*t[84])/4 + 
       (17*t[85])/2 + t[86]/2 - (79*t[87])/2 - (79*t[88])/4 + (5*t[89])/2 + 
       t[97]/2 + 42*t[98] - 42*t[99] - 36*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((43*t[1])/12 - (67*t[2])/3 + (31*t[3])/12 + (1045*t[4])/48 + 
       (775*t[5])/48 + (65*t[6])/16 + (149*t[7])/16 - (269*t[8])/16 - 
       (67*t[9])/4 - (3197*t[10])/96 + (661*t[11])/24 - (2113*t[12])/96 + 
       (12721*t[13])/864 - (3713*t[14])/192 - (8987*t[15])/864 - t[16]/6 + 
       t[17] + (2*t[18])/3 + 10*t[20] + (2*t[21])/3 - 6*t[22] + t[23] + 
       4*t[24] - 3*t[25] - (13*t[26])/3 - 4*t[27] - (113*t[29])/24 - 
       (89*t[30])/24 - (7*t[31])/3 + (35*t[32])/8 + (31*t[33])/24 - 4*t[34] - 
       (5*t[36])/6 + (4*t[37])/3 + 2*t[38] - (29*t[39])/8 + (9*t[40])/8 + 
       (25*t[41])/12 - t[42]/12 + (47*t[43])/16 + (23*t[44])/24 + 
       (437*t[45])/24 - 5*t[46] - (65*t[47])/4 + (65*t[48])/8 + 
       (209*t[49])/32 + 10*t[50] + (827*t[51])/192 - (43*t[52])/6 - 
       (225*t[53])/32 - (493*t[54])/48 - t[56]/2 + t[57] - t[58]/3 + 
       (9*t[59])/4 + (1441*t[60])/48 + (645*t[61])/16 - (1847*t[62])/96 - 
       (1119*t[63])/32 - (1367*t[64])/96 + (225*t[65])/16 - 
       (7517*t[66])/144 + t[67]/6 - t[68]/6 + t[69]/3 - 2*t[70] + 2*t[71] + 
       (4*t[72])/3 + (2*t[74])/3 + (4*t[75])/3 + (7*t[76])/3 + (5*t[77])/6 + 
       (7*t[78])/6 - 4*t[79] + (38*t[80])/3 + (11*t[81])/3 - (15*t[82])/2 - 
       (13*t[83])/3 + (341*t[84])/48 + (39*t[85])/16 + 14*t[86] - 
       (629*t[87])/48 - (629*t[88])/96 + (389*t[89])/32 - t[90]/6 + 
       (2*t[92])/3 - t[94]/3 + 19*t[98] - 19*t[99] - 35*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      (-5*t[1] - (91*t[2])/24 - (47*t[3])/6 - (87*t[4])/8 + (427*t[5])/24 - 
       (121*t[6])/48 + (149*t[7])/24 - (133*t[8])/12 + (17*t[9])/8 + 
       (1535*t[10])/48 + (251*t[11])/16 - (127*t[12])/48 - (181*t[13])/16 + 
       (5185*t[14])/288 + (211*t[15])/16 + t[17]/12 - t[18]/3 - 2*t[21] + 
       (5*t[23])/3 - t[24]/3 - 3*t[31] - 10*t[35] + 4*t[37] + t[41]/3 - 
       t[42]/3 + (11*t[43])/4 + (11*t[44])/2 + (97*t[45])/12 + t[46]/4 - 
       (37*t[47])/3 + (193*t[48])/48 + (221*t[49])/48 + (193*t[50])/48 - 
       (227*t[51])/96 - (193*t[52])/48 - (221*t[53])/48 - (101*t[54])/16 + 
       (25*t[59])/6 + (343*t[60])/12 + (353*t[61])/12 + (1301*t[62])/48 + 
       (2957*t[63])/48 - (821*t[64])/12 - (833*t[65])/24 - (1381*t[66])/72 + 
       t[67]/4 + (21*t[69])/2 - (3*t[70])/2 + (3*t[71])/2 - (2*t[72])/3 - 
       (16*t[74])/3 + t[75] + 2*t[76] + t[78]/2 + (3*t[79])/4 - 
       (63*t[80])/2 + (23*t[81])/6 - (13*t[82])/6 - (29*t[83])/2 + 
       (85*t[84])/24 + (109*t[85])/24 - (182*t[86])/3 - (201*t[87])/8 - 
       (201*t[88])/16 - (341*t[89])/24 - t[94]/12 + 12*t[98] - 17*t[99] - 
       33*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*(t[1]/2 - (29*t[2])/12 + (125*t[3])/6 - 
       (41*t[4])/2 + (85*t[5])/16 - (277*t[6])/48 - (21*t[7])/8 + 
       (811*t[8])/24 - (1717*t[9])/48 - (29*t[10])/2 - (329*t[11])/48 + 
       (37*t[12])/16 - (1481*t[13])/144 - (3397*t[14])/144 - (131*t[15])/32 + 
       2*t[20] - 9*t[28] + (7*t[29])/6 + (25*t[30])/6 + (13*t[32])/12 - 
       t[33] - 4*t[34] + (11*t[35])/2 + (9*t[36])/2 + (11*t[43])/4 + 
       (27*t[44])/4 + (215*t[48])/48 - (11*t[49])/8 - (29*t[50])/48 + 
       (11*t[51])/16 + (29*t[52])/48 + (11*t[53])/8 - (7*t[54])/48 + 
       t[59]/3 - (1403*t[60])/24 - (55*t[61])/6 - (201*t[62])/8 + 
       (29*t[63])/4 + (941*t[64])/8 + (205*t[65])/8 + (2189*t[66])/72 + 
       2*t[73] - (8*t[74])/3 - 6*t[75] + t[76] - (7*t[77])/2 - (9*t[78])/2 + 
       2*t[79] + 11*t[80] - t[81]/4 + t[82]/4 + (35*t[83])/2 - (37*t[84])/3 - 
       (31*t[85])/8 + 68*t[86] + (343*t[87])/8 + (327*t[88])/16 - 
       (119*t[89])/24 + (7*t[95])/3 + 12*t[98] - 17*t[99] - 33*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((241*t[2])/4 - (55*t[3])/4 - (7*t[4])/2 - (11*t[5])/2 - (25*t[6])/2 + 
       (147*t[7])/4 + (227*t[8])/4 + (285*t[9])/4 - (45*t[10])/4 + 
       (73*t[11])/4 - (27*t[12])/4 + (127*t[13])/12 + (37*t[14])/3 + 
       (9*t[15])/4 - 3*t[18] - 15*t[20] + 15*t[22] - 6*t[28] + 24*t[29] - 
       18*t[30] + 21*t[32] - 24*t[33] - 22*t[35] + 3*t[36] - 3*t[37] - 
       (3*t[41])/2 + (3*t[42])/2 + (3*t[43])/2 - 15*t[44] - 3*t[47] - 
       (9*t[48])/2 + t[49] + (27*t[50])/2 - t[51]/2 - (27*t[52])/2 - t[53] - 
       (37*t[54])/2 - 14*t[59] - (111*t[60])/4 + (27*t[61])/4 - 
       (45*t[62])/4 - (87*t[63])/4 + (229*t[64])/8 + 41*t[65] - 
       (235*t[66])/3 - 2*t[67] - 18*t[69] + 9*t[70] - 9*t[71] + 12*t[74] - 
       25*t[75] - 3*t[77] - 3*t[78] + 11*t[79] + 9*t[80] - 2*t[81] + 
       2*t[82] + (57*t[83])/2 + (19*t[84])/4 + (53*t[85])/4 + 37*t[86] + 
       (41*t[87])/4 + (29*t[88])/8 - (177*t[89])/8 + 12*t[99] - 33*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((41*t[2])/2 + (21*t[3])/2 - (23*t[4])/2 + (431*t[5])/8 + 
       (197*t[6])/8 - (101*t[7])/2 + (147*t[8])/2 - (443*t[9])/8 - 
       (91*t[10])/2 - (29*t[11])/8 - (293*t[12])/8 + (685*t[13])/24 - 
       (115*t[14])/12 + (1403*t[15])/48 - 7*t[18] - 4*t[19] + 8*t[21] - 
       14*t[23] + 3*t[24] + 3*t[31] - 40*t[35] + 5*t[37] - (13*t[41])/2 + 
       (13*t[42])/2 - 9*t[43] + 3*t[44] - 18*t[45] + 3*t[46] - 17*t[47] + 
       (79*t[48])/8 + (19*t[49])/2 - (69*t[50])/8 - (11*t[51])/2 + 
       (69*t[52])/8 - (19*t[53])/2 - (83*t[54])/8 - 14*t[59] - (31*t[60])/2 - 
       47*t[61] + (175*t[62])/4 - (371*t[63])/4 - (65*t[64])/2 + 
       (53*t[65])/2 + (223*t[66])/6 - 2*t[67] - 18*t[69] + 9*t[70] - 
       9*t[71] + 15*t[74] - 3*t[75] - 12*t[79] + 15*t[80] + 2*t[81] - 
       8*t[82] + (15*t[83])/2 + 17*t[85] - 22*t[86] + 5*t[87] + (5*t[88])/2 - 
       (17*t[89])/2 + 12*t[99] - 33*t[100]) + HPL[{1}, 1 - v]^2*Qep[v, u, w]*
      ((-64*t[60])/3 + (184*t[61])/3 + (158*t[62])/3 + (2*t[63])/3 + 
       56*t[64] - (572*t[65])/9 - (284*t[66])/9 - (32*t[79])/3 - 
       (32*t[83])/3 - (16*t[84])/3 + (16*t[85])/3 - (208*t[86])/3 + 
       (80*t[87])/3 + (40*t[88])/3 - (32*t[89])/3 - 32*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - u]*(-20*t[1] - (121*t[3])/2 + 
       66*t[4] - 88*t[5] + (261*t[6])/4 - (59*t[7])/2 + 94*t[8] + 120*t[9] + 
       171*t[10] - 193*t[11] - (19*t[12])/2 - (3931*t[13])/72 + 
       (151*t[14])/6 - (28*t[15])/3 + t[22] - t[32] - (87*t[43])/2 - 
       (13*t[45])/2 + 19*t[47] - 20*t[59] + (103*t[60])/2 - 343*t[61] + 
       (737*t[62])/4 - (521*t[63])/4 - (1189*t[64])/4 + (29*t[65])/6 + 
       (2407*t[66])/6 - 41*t[77] - 186*t[80] - 27*t[82] - 8*t[83] + 
       19*t[86] - 14*t[87] - 7*t[88] + (281*t[89])/4 - 32*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*((-367*t[3])/4 - 
       122*t[5] + (391*t[6])/2 - (281*t[7])/2 + 448*t[8] + 79*t[9] - 
       (369*t[11])/2 + (35*t[12])/2 + 86*t[14] - (2291*t[15])/72 + 28*t[29] + 
       2*t[30] + 4*t[34] - (25*t[39])/2 + (23*t[40])/2 - (129*t[44])/2 + 
       98*t[48] - (205*t[50])/2 + (205*t[52])/2 + (369*t[54])/2 + 145*t[60] - 
       (127*t[61])/2 + 166*t[62] - 168*t[63] - (329*t[64])/4 + 38*t[65] + 
       (323*t[66])/3 - 34*t[75] - 19*t[76] + 27*t[78] + 39*t[81] + 42*t[83] + 
       (47*t[84])/2 + (99*t[85])/2 + (11*t[87])/2 + (11*t[88])/4 + 
       (317*t[89])/2 - 32*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*((155*t[60])/6 + (3*t[61])/2 - 
       (139*t[62])/24 + (1091*t[63])/24 - (35*t[64])/4 + (899*t[65])/36 - 
       (485*t[66])/36 - (8*t[72])/3 - t[74] + 14*t[75] - t[76] + 10*t[78] - 
       2*t[80] + (16*t[81])/3 - (14*t[82])/3 - 22*t[83] + (28*t[84])/3 + 
       5*t[85] - (14*t[86])/3 - (70*t[87])/3 - (35*t[88])/3 + (43*t[89])/4 - 
       28*t[98] + 36*t[99] - 32*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*((17*t[1])/6 + (89*t[2])/6 + 
       (103*t[3])/24 + (74*t[4])/3 - (51*t[5])/16 - (13*t[6])/4 + 
       (203*t[7])/12 + (439*t[8])/12 - (1369*t[9])/48 - (233*t[10])/8 + 
       (505*t[11])/12 - (701*t[12])/48 + (8425*t[13])/432 - (323*t[14])/24 + 
       (1753*t[15])/96 - 4*t[19] + 4*t[21] + t[22] - 4*t[23] + 2*t[25] + 
       t[26] + (2*t[27])/3 - (19*t[28])/3 - (2*t[29])/3 + (14*t[30])/3 + 
       t[31] - (2*t[32])/3 + (2*t[33])/3 - (35*t[34])/3 - 12*t[35] + 
       2*t[37] + (2*t[38])/3 - (10*t[39])/3 + (8*t[40])/3 - t[41]/3 + 
       t[42]/3 + (145*t[43])/24 + (20*t[44])/3 + (53*t[45])/12 + 
       (9*t[46])/2 - (19*t[47])/2 - (17*t[48])/24 - (79*t[49])/24 + 
       (29*t[50])/8 + (15*t[51])/16 - (53*t[52])/8 + (79*t[53])/24 - 
       (107*t[54])/8 + t[58] - (17*t[60])/6 + (10*t[61])/3 - (115*t[62])/12 - 
       (1105*t[63])/12 - (87*t[64])/4 - (233*t[65])/36 - (2773*t[66])/36 - 
       4*t[69] + 5*t[74] - 3*t[75] - (49*t[76])/3 - t[77] + (28*t[78])/3 - 
       12*t[79] + (52*t[80])/3 - 6*t[81] - (13*t[82])/2 + 5*t[83] + 7*t[84] - 
       (49*t[85])/6 + 54*t[86] + (131*t[87])/6 + (131*t[88])/12 + 
       (67*t[89])/4 - (7*t[97])/3 - 70*t[98] + 88*t[99] - 32*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-5*t[1])/6 + (5*t[2])/24 - (553*t[3])/24 + (71*t[4])/4 - 
       (163*t[5])/12 + (1979*t[6])/96 - (143*t[7])/12 + (205*t[8])/6 + 
       (167*t[9])/48 + (115*t[10])/12 - (1195*t[11])/96 - (35*t[12])/4 + 
       (68*t[13])/27 + (6509*t[14])/288 + (10765*t[15])/864 + t[22] - t[23] + 
       3*t[28] + (43*t[29])/12 + (4*t[30])/3 - t[31]/2 - (53*t[32])/12 + 
       (17*t[33])/3 + (13*t[34])/6 - (11*t[35])/2 - 5*t[36] - (5*t[37])/6 - 
       (11*t[38])/12 - t[39]/3 - (23*t[40])/12 - t[41] + t[42] - 
       (8*t[43])/3 - (127*t[44])/24 + (7*t[45])/12 + t[46]/4 - 
       (25*t[47])/12 + (853*t[48])/96 + (57*t[49])/8 - (113*t[50])/32 - 
       (23*t[51])/6 + (611*t[52])/96 - (179*t[53])/24 + (1391*t[54])/96 + 
       (13*t[59])/12 + (161*t[60])/16 + (437*t[61])/16 + (2441*t[62])/96 + 
       (23*t[63])/96 - (4645*t[64])/96 - (2881*t[65])/144 - (329*t[66])/48 - 
       t[67]/12 - t[69] + (14*t[74])/3 - t[75]/2 + t[76]/3 + (7*t[77])/2 + 
       (13*t[78])/3 + t[79] - (65*t[80])/6 + (9*t[81])/2 - (15*t[82])/4 - 
       3*t[83] + (157*t[84])/16 + (73*t[85])/16 - (128*t[86])/3 - 
       (601*t[87])/48 - (203*t[88])/32 + (217*t[89])/32 - (2*t[95])/3 + 
       (5*t[96])/6 - t[97]/3 + 2*t[98] - 4*t[99] - (379*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      (4*t[60] - 12*t[61] - (45*t[62])/4 + (65*t[63])/4 - 7*t[64] + 
       15*t[65] + (20*t[66])/3 - 6*t[69] - 2*t[72] - 6*t[73] - 6*t[75] - 
       6*t[78] + 4*t[81] - 8*t[82] + 13*t[83] - (5*t[84])/2 + (13*t[85])/2 + 
       6*t[86] - (7*t[87])/2 - (7*t[88])/4 + (7*t[89])/2 + 3*t[99] - 
       (63*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*(-30*t[2] + (23*t[3])/6 + (13*t[4])/3 + 
       (16*t[5])/3 + (28*t[6])/3 - (67*t[7])/3 + (74*t[8])/3 - 16*t[9] + 
       (13*t[10])/3 + (3*t[11])/2 + (35*t[12])/6 + (263*t[13])/18 - 
       (607*t[14])/72 + (397*t[15])/36 - (14*t[18])/3 + 6*t[28] - 6*t[29] + 
       4*t[30] - 12*t[32] + 10*t[33] - (74*t[35])/3 + (2*t[37])/3 + 4*t[44] + 
       (14*t[48])/3 - (19*t[49])/6 - (20*t[50])/3 - (9*t[51])/8 + 
       (20*t[52])/3 + (19*t[53])/6 + (14*t[54])/3 + (32*t[59])/3 - 
       (11*t[60])/3 - (3*t[61])/2 + (133*t[62])/12 - (11*t[63])/4 - 
       (301*t[64])/12 + (509*t[65])/18 - (61*t[66])/2 + (4*t[67])/3 - 
       2*t[69] - 10*t[70] + 10*t[71] + 8*t[73] - 8*t[74] - (32*t[75])/3 + 
       (26*t[76])/3 - 10*t[78] + (22*t[79])/3 + (7*t[81])/3 - (5*t[82])/3 - 
       12*t[83] + (9*t[84])/2 - (34*t[86])/3 + (41*t[87])/3 + (41*t[88])/6 + 
       (14*t[89])/3 - 31*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((19*t[2])/2 - (17*t[3])/2 + (61*t[4])/3 - 
       44*t[5] + (55*t[6])/6 + (11*t[7])/3 + (155*t[8])/3 + (146*t[9])/3 - 
       35*t[10] + (211*t[11])/6 + (199*t[12])/6 + (58*t[13])/9 + 
       (123*t[14])/8 - (1111*t[15])/36 + (2*t[18])/3 - (11*t[19])/9 + 
       (34*t[21])/3 - 14*t[23] + 2*t[24] - 8*t[31] + (22*t[35])/3 - t[37]/3 + 
       (35*t[41])/3 - (35*t[42])/3 + 2*t[43] - (68*t[45])/3 + (188*t[47])/3 + 
       (40*t[48])/3 - (17*t[49])/6 - 14*t[50] - (5*t[51])/24 + 14*t[52] + 
       (17*t[53])/6 + (46*t[54])/3 - 6*t[59] - (53*t[60])/12 + 
       (115*t[61])/4 - (101*t[62])/6 - 8*t[63] + (1757*t[64])/24 + 
       (2255*t[65])/36 - (2285*t[66])/36 - 2*t[67] - 2*t[69] - 10*t[70] + 
       10*t[71] + 13*t[74] + (26*t[76])/3 - 10*t[78] + 15*t[79] + 26*t[80] + 
       (59*t[81])/6 - (55*t[82])/6 - 3*t[83] + (22*t[84])/3 + 
       (137*t[85])/12 - (158*t[86])/3 + (143*t[87])/12 + (143*t[88])/24 + 
       (177*t[89])/8 - 31*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((13*t[1])/8 + (47*t[2])/8 - (391*t[3])/48 + 
       27*t[4] - (233*t[5])/96 + (1003*t[6])/48 - (347*t[7])/24 + 
       (677*t[8])/24 + (1955*t[9])/96 - (1549*t[10])/48 + (971*t[11])/48 - 
       (1501*t[12])/96 + (2837*t[13])/288 + (661*t[14])/144 - 
       (3085*t[15])/576 + (2*t[17])/3 - t[18]/3 - t[19] + t[21] + 
       (5*t[22])/6 - (5*t[23])/2 - (13*t[24])/6 + (2*t[25])/3 - 
       (7*t[26])/12 + t[27]/3 + (3*t[28])/2 - t[30] - (11*t[31])/2 + 
       (5*t[32])/6 - (5*t[33])/6 + (5*t[34])/12 - (9*t[35])/2 + 2*t[37] - 
       (2*t[38])/3 + (11*t[39])/6 - (5*t[40])/2 + (59*t[41])/24 - 
       (11*t[42])/8 - (21*t[43])/16 - (16*t[44])/3 - (203*t[45])/24 - 
       (19*t[46])/4 + (44*t[47])/3 + (139*t[48])/24 + (17*t[49])/16 + 
       (11*t[50])/24 + (23*t[51])/96 + (91*t[52])/24 - (17*t[53])/16 - 
       (25*t[54])/12 + (5*t[58])/12 - (25*t[59])/24 + (289*t[60])/24 + 
       (43*t[61])/4 + (2081*t[62])/96 + (1543*t[63])/96 + (1207*t[64])/16 - 
       (4019*t[65])/144 + (865*t[66])/48 + t[67]/3 - 2*t[69] + (2*t[70])/3 - 
       (2*t[71])/3 + (5*t[74])/6 + (3*t[75])/2 + t[76]/3 - (2*t[77])/3 + 
       (5*t[78])/12 + (7*t[79])/3 + (47*t[80])/6 + (25*t[81])/12 + 
       (5*t[82])/4 - (31*t[83])/3 + (5*t[84])/2 - (7*t[85])/2 - 
       (187*t[86])/12 - 2*t[87] - t[88] - (203*t[89])/48 - t[94]/6 + 
       (5*t[97])/12 + 2*t[98] - 4*t[99] - (123*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*(-2*t[59] + 29*t[60] + 
       45*t[61] + (195*t[62])/2 + (703*t[63])/2 + (91*t[64])/2 - 
       (547*t[65])/3 - 4*t[66] + 4*t[67] - 88*t[74] - 102*t[79] + 8*t[80] + 
       24*t[85] + 26*t[86] - 24*t[87] - 12*t[88] + (25*t[89])/2 - 
       30*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((33*t[2])/2 + 11*t[3] + 9*t[4] - (35*t[5])/4 - 
       (3*t[6])/2 - 5*t[7] + 4*t[8] + (7*t[9])/4 - t[10] + t[11]/2 - 
       (25*t[12])/4 + 2*t[13] - (41*t[14])/6 - (47*t[15])/24 - 4*t[20] + 
       4*t[22] + 2*t[29] - 2*t[31] - 2*t[35] - 4*t[36] - 2*t[37] - t[41] + 
       t[42] - 2*t[43] + t[46] - 2*t[47] - 2*t[48] + 7*t[49] - 2*t[50] - 
       (11*t[51])/4 + 2*t[52] - 7*t[53] - 9*t[54] - 2*t[59] - 17*t[60] - 
       21*t[61] - 9*t[62] - 31*t[63] - (49*t[64])/2 - (23*t[65])/3 - 
       (80*t[66])/3 - 4*t[69] + 4*t[72] + 2*t[74] - 6*t[75] - 2*t[78] - 
       2*t[80] + 20*t[83] - 5*t[84] + 5*t[85] + 28*t[86] + 11*t[87] + 
       (11*t[88])/2 - (21*t[89])/2 + 8*t[99] - 30*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((31*t[2])/2 + 3*t[3] + 3*t[4] + (17*t[5])/4 + (7*t[6])/2 + 7*t[7] + 
       20*t[8] + (95*t[9])/4 - 11*t[10] + (3*t[11])/2 - (29*t[12])/4 + 
       11*t[14] + (29*t[15])/24 - 4*t[19] + 4*t[21] - 4*t[23] + 6*t[28] - 
       4*t[30] - 8*t[35] + 2*t[37] + 4*t[39] - t[41] + t[42] - 4*t[44] - 
       2*t[45] - t[46] + 5*t[48] + 7*t[49] - 3*t[50] - (9*t[51])/4 + 
       3*t[52] - 7*t[53] - 8*t[54] + (5*t[59])/2 - (43*t[60])/4 + 
       (187*t[61])/4 - (417*t[62])/8 - (1071*t[63])/8 - (559*t[64])/8 - 
       (299*t[65])/12 - (791*t[66])/12 - 4*t[69] + 24*t[72] - 20*t[73] + 
       2*t[74] - 62*t[75] - 24*t[76] - 49*t[78] - 8*t[79] + 4*t[80] + 
       2*t[81] + 4*t[82] + 30*t[83] - (17*t[84])/4 + (121*t[85])/4 + 
       28*t[86] + (47*t[87])/4 + (47*t[88])/8 + (57*t[89])/8 + 2*t[93] + 
       3*t[97] + 8*t[99] - 30*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((19*t[2])/3 - (161*t[3])/48 - 
       (37*t[4])/2 - (203*t[5])/48 - (3887*t[6])/96 + (357*t[7])/8 - 
       (1735*t[8])/24 + (365*t[9])/24 - (49*t[10])/4 + (829*t[11])/32 + 
       (235*t[12])/48 - (1285*t[13])/144 + (6317*t[14])/288 + 
       (1783*t[15])/864 + t[20]/2 - t[22]/2 - 13*t[28] - 10*t[29] - 
       (23*t[30])/2 + t[31] - (29*t[32])/6 + t[33] - (13*t[34])/3 + 3*t[35] + 
       (9*t[36])/2 + t[39]/3 - t[40]/3 + 2*t[43] + t[44]/12 - (3*t[46])/4 - 
       (3149*t[48])/96 - (33*t[49])/8 + (1931*t[50])/96 + (3*t[51])/2 - 
       (1931*t[52])/96 + (33*t[53])/8 - (1001*t[54])/32 - (11*t[59])/4 + 
       (355*t[60])/16 + (1553*t[61])/48 - (1889*t[62])/32 + (3515*t[63])/96 + 
       (113*t[64])/96 - (3079*t[65])/144 - (7223*t[66])/144 + 4*t[69] + 
       (3*t[72])/2 - 9*t[73] + (5*t[74])/2 - (61*t[75])/2 + (7*t[76])/3 - 
       (9*t[77])/2 - (35*t[78])/3 + (9*t[79])/2 + 8*t[80] - (31*t[81])/12 + 
       (5*t[82])/4 + (219*t[83])/4 + (77*t[84])/16 + (269*t[85])/48 + 
       (73*t[86])/2 + (113*t[87])/48 - (199*t[88])/96 - (1261*t[89])/96 - 
       (89*t[100])/3) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((70*t[1])/9 - (347*t[2])/18 - (6587*t[3])/288 - 
       (539*t[4])/24 + (4621*t[5])/72 + (21763*t[6])/576 - (2255*t[7])/24 + 
       (12433*t[8])/72 - (15755*t[9])/96 + (4495*t[10])/48 - 
       (5267*t[11])/576 - (875*t[12])/144 - (1055*t[13])/288 - 
       (10237*t[14])/1728 + (109577*t[15])/2592 - t[17]/2 - (2*t[18])/3 - 
       2*t[19] + (47*t[22])/3 - 2*t[23] + t[24] - (4*t[27])/3 - (4*t[28])/3 + 
       (289*t[29])/72 + (199*t[30])/18 + (20*t[31])/9 + (51*t[32])/4 + 
       (113*t[33])/12 - (1133*t[34])/36 - 6*t[35] - (5*t[36])/6 + 
       (4*t[37])/3 + (115*t[38])/18 - (275*t[39])/72 + (299*t[40])/72 + 
       3*t[41] - (11*t[42])/3 - (47*t[43])/9 - (101*t[44])/9 + 
       (623*t[45])/18 - 2*t[46] - (368*t[47])/9 + (8789*t[48])/576 - 
       (439*t[49])/144 - (3569*t[50])/192 + (1807*t[51])/288 + 
       (11027*t[52])/576 + (727*t[53])/144 + (14003*t[54])/576 + t[55] + 
       t[56]/3 + (4*t[57])/3 - (121*t[59])/72 - (2759*t[60])/288 + 
       (6859*t[61])/96 - (15499*t[62])/576 + (4961*t[63])/192 + 
       (41665*t[64])/576 - (27533*t[65])/864 + (2763*t[66])/32 + 
       (2*t[68])/3 - (11*t[69])/3 + 4*t[70] - 4*t[71] + 3*t[72] - 16*t[73] - 
       (5*t[74])/2 + (58*t[75])/3 - (322*t[76])/9 + (17*t[77])/9 + 
       (605*t[78])/18 + (49*t[79])/6 - (137*t[80])/3 - (665*t[81])/36 + 
       (139*t[82])/18 + (11*t[83])/3 - (4309*t[84])/288 - (17309*t[85])/288 - 
       (589*t[86])/18 + (3377*t[87])/96 + (6257*t[88])/192 - 
       (10925*t[89])/576 - t[90]/3 - 4*t[95] - t[96] + (43*t[97])/18 - 
       (733*t[98])/3 + (889*t[99])/3 - (175*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]^2*((13*t[59])/2 + (19*t[60])/4 + 
       (157*t[61])/4 - (19*t[62])/8 - (207*t[63])/8 + (219*t[64])/8 + 
       (79*t[65])/12 - (31*t[66])/3 + t[67] + (9*t[79])/2 + 18*t[80] + 
       2*t[81] - 2*t[82] - 6*t[83] + 3*t[84] - 6*t[85] + (37*t[86])/2 - 
       (33*t[89])/8 - (57*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - w]*((31*t[60])/2 + (55*t[61])/2 - (287*t[62])/8 + 
       (31*t[63])/8 + 8*t[64] - (353*t[65])/24 - (98*t[66])/3 + 6*t[69] + 
       2*t[72] - 3*t[74] - 3*t[75] - 3*t[78] - (15*t[79])/4 + t[81]/4 - 
       (27*t[82])/4 + 6*t[83] - t[84]/2 - (41*t[85])/8 + (3*t[86])/4 + 
       (9*t[87])/8 + (9*t[88])/16 + (9*t[89])/4 + 3*t[99] - (57*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((5*t[1])/9 - (29*t[2])/9 - (7189*t[3])/288 + (289*t[4])/16 + 
       (1219*t[5])/576 + (2539*t[6])/288 - (1459*t[7])/96 + (8237*t[8])/288 - 
       (3125*t[9])/192 + (947*t[10])/96 - (1813*t[11])/144 - 
       (5983*t[12])/576 + (1643*t[13])/864 + (7387*t[14])/1728 + 
       (168559*t[15])/10368 + t[22]/4 + (4*t[27])/3 + (7*t[28])/3 - 
       (115*t[29])/72 - t[30]/72 - (5*t[31])/9 - (25*t[32])/24 + 
       (49*t[33])/24 - (83*t[34])/18 - 5*t[35] + (5*t[36])/6 + (14*t[37])/3 + 
       (41*t[38])/18 + (29*t[39])/72 + (211*t[40])/72 + (11*t[41])/24 - 
       (11*t[42])/24 + (49*t[43])/72 - (79*t[44])/36 + (163*t[45])/72 + 
       t[46]/4 - (103*t[47])/36 + (2747*t[48])/288 - (95*t[49])/36 - 
       (215*t[50])/96 + (277*t[51])/144 - (1051*t[52])/288 + (167*t[53])/36 + 
       (2321*t[54])/288 + (175*t[59])/72 + (805*t[60])/144 - (11*t[61])/48 + 
       (19487*t[62])/288 - (1203*t[63])/32 - (16109*t[64])/288 + 
       (881*t[65])/216 + (2531*t[66])/72 + (14*t[69])/3 - 2*t[72] + 8*t[74] + 
       (26*t[75])/3 - (50*t[76])/9 + (19*t[77])/36 + (125*t[78])/9 - 
       (44*t[79])/3 - (29*t[80])/4 - (59*t[81])/18 + (155*t[82])/72 - 
       (50*t[83])/3 + (1205*t[84])/144 - (1643*t[85])/144 - (2287*t[86])/36 + 
       (569*t[87])/48 + (761*t[88])/96 + (7663*t[89])/288 - 2*t[95] + 
       3*t[96] + (10*t[97])/9 - (188*t[98])/3 + (233*t[99])/3 - 
       (161*t[100])/6) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((-77*t[1])/12 - (125*t[2])/36 + 
       (1529*t[3])/576 + (2635*t[4])/288 - (3527*t[5])/384 - (2251*t[6])/96 + 
       (2801*t[7])/576 - (21821*t[8])/576 + (31177*t[9])/1152 - 
       (421*t[10])/64 + (10549*t[11])/576 - (6463*t[12])/1152 + 
       (64367*t[13])/2592 + (497*t[14])/384 - (4111*t[15])/768 - 
       (2*t[16])/3 + t[17]/12 + (2*t[19])/3 - t[20]/2 - t[21]/2 - 
       (23*t[22])/24 + t[23]/2 - t[24]/6 + (11*t[25])/2 - 8*t[26] + 
       (2*t[27])/9 + (14*t[28])/9 - (13*t[29])/18 - (55*t[30])/36 + t[31]/6 - 
       (17*t[32])/9 + (31*t[33])/18 + (137*t[34])/18 - (20*t[36])/3 - 
       (13*t[37])/6 - (35*t[38])/18 - (59*t[39])/18 + (38*t[40])/9 - 
       (253*t[41])/144 + (253*t[42])/144 - (1115*t[43])/288 + (13*t[44])/18 - 
       (619*t[45])/144 + 4*t[46] + (125*t[47])/24 - (5027*t[48])/288 + 
       (373*t[49])/144 - (195*t[50])/32 + (113*t[51])/96 - (215*t[52])/96 - 
       (973*t[53])/144 - (273*t[54])/32 - (7*t[58])/3 - (217*t[59])/144 + 
       (2531*t[60])/144 - (845*t[61])/144 - (6517*t[62])/144 + 
       (1637*t[63])/144 + (3517*t[64])/32 + (27419*t[65])/864 - 
       (8423*t[66])/864 + 2*t[68] + (7*t[69])/6 + (7*t[70])/3 - (7*t[71])/3 + 
       (15*t[72])/2 + (29*t[73])/12 - (10*t[74])/3 + t[75]/12 + 
       (187*t[76])/18 - (17*t[77])/24 - (11*t[78])/9 + (157*t[79])/24 + 
       (595*t[80])/36 + (73*t[81])/8 - (35*t[82])/8 + 14*t[83] + 
       (37*t[84])/24 + (4045*t[85])/144 + (425*t[86])/8 - (4229*t[87])/144 - 
       (2381*t[88])/288 + (379*t[89])/32 + t[90]/6 - (2*t[95])/3 - 
       (17*t[96])/3 + (31*t[97])/18 + (305*t[98])/3 - (362*t[99])/3 - 
       (80*t[100])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((13*t[1])/3 - t[2] + (1105*t[3])/48 - 
       (461*t[4])/24 + (3805*t[5])/96 + (79*t[6])/6 - (1729*t[7])/48 - 
       (2659*t[8])/48 - (6887*t[9])/96 - (823*t[10])/48 - (1421*t[11])/48 - 
       (535*t[12])/32 - (1195*t[13])/36 + (1423*t[14])/288 + 
       (15599*t[15])/576 - t[18]/6 + (3*t[19])/2 - 4*t[21] - t[22] + 
       (17*t[23])/3 + 3*t[24] + t[28]/2 - t[30]/2 + 13*t[31] - t[32]/2 + 
       4*t[35] + t[37]/2 + (3*t[39])/2 - (11*t[41])/4 + (17*t[42])/4 + 
       (443*t[43])/24 + 4*t[44] - (53*t[45])/4 + (3*t[46])/2 - 29*t[47] - 
       (33*t[48])/8 - t[49]/2 - (77*t[50])/8 - t[51]/2 + (77*t[52])/8 + 
       t[53]/2 + (73*t[54])/8 - (17*t[59])/12 + (94*t[60])/3 + 
       (145*t[61])/6 + (2099*t[62])/24 + (263*t[63])/4 - (889*t[64])/8 - 
       (1313*t[65])/24 + (569*t[66])/18 + 5*t[69] + (7*t[72])/2 - t[73] + 
       (17*t[74])/3 + 2*t[75] + (5*t[77])/6 - (193*t[79])/12 - 
       (131*t[80])/3 + (7*t[81])/2 - t[82]/6 - (59*t[83])/6 + (79*t[84])/24 + 
       (461*t[85])/24 - (1093*t[86])/12 - (655*t[87])/24 - (655*t[88])/48 - 
       (13*t[89])/12 - 26*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*((3*t[1])/8 + (17*t[2])/8 + (11*t[3])/8 + 6*t[4] - 
       (69*t[5])/16 + (15*t[6])/2 + (103*t[7])/8 + (101*t[8])/8 + 
       (107*t[9])/16 - (41*t[10])/2 + 10*t[11] + (29*t[12])/16 + 
       (227*t[13])/144 + (35*t[14])/12 - (1337*t[15])/288 - t[22] + 
       (3*t[25])/2 + (3*t[26])/4 - t[28]/2 - 2*t[30] + t[32] - (3*t[33])/2 - 
       (3*t[34])/4 + 2*t[35] - (3*t[38])/2 + (3*t[39])/2 - 3*t[40] - 
       (5*t[41])/8 + (5*t[42])/8 + (11*t[43])/4 + (5*t[45])/2 + t[46]/2 - 
       (7*t[47])/2 + (23*t[48])/4 - (19*t[49])/8 + (3*t[50])/4 + t[51]/16 + 
       3*t[52] + (19*t[53])/8 + (11*t[54])/4 + (3*t[58])/4 + t[59]/8 - 
       (11*t[60])/8 + (67*t[61])/8 - (133*t[62])/8 - (239*t[63])/8 + 
       (311*t[64])/16 + (11*t[65])/12 - (145*t[66])/4 + 3*t[73] - 3*t[75] - 
       (21*t[76])/4 + 3*t[78] + (7*t[80])/2 - (3*t[81])/4 - (3*t[82])/4 - 
       5*t[83] + (27*t[84])/8 - (13*t[85])/8 + 19*t[86] + (41*t[87])/8 + 
       (41*t[88])/16 + (137*t[89])/16 - (3*t[97])/4 - 24*t[98] + 26*t[99] - 
       (201*t[100])/8) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2*((-7*t[1])/4 + (33*t[2])/8 + 7*t[3] - 13*t[4] + 
       4*t[5] - (147*t[6])/16 - (25*t[7])/8 - (361*t[8])/8 - (3*t[9])/2 - 
       3*t[10] - (143*t[11])/16 + t[12] - (107*t[13])/18 - 16*t[14] - 
       (161*t[15])/72 - (7*t[29])/4 - (7*t[30])/4 + t[31]/2 - (7*t[32])/4 + 
       (7*t[33])/4 + (3*t[34])/2 + t[35] + t[36] + t[37]/2 - (3*t[38])/4 - 
       (3*t[39])/2 + (3*t[40])/4 - (3*t[41])/4 + (3*t[42])/4 + t[43]/4 + 
       7*t[44] - (3*t[47])/2 - (153*t[48])/16 - (37*t[49])/8 + 
       (119*t[50])/16 + (31*t[51])/16 - (95*t[52])/16 + (13*t[53])/8 - 
       (111*t[54])/16 - (3*t[59])/4 + (15*t[60])/2 - (43*t[61])/24 + 
       (2309*t[62])/96 + (2909*t[63])/96 - (551*t[64])/24 + (317*t[65])/48 - 
       (99*t[66])/16 - (5*t[69])/4 + t[72] + t[74] + t[75] - 3*t[76] - 
       t[77]/2 - (5*t[78])/4 + 5*t[79] - (3*t[80])/4 + (9*t[81])/4 - 
       (7*t[82])/4 - (143*t[83])/24 + (117*t[84])/16 + (53*t[85])/16 - 
       (311*t[86])/12 - (437*t[87])/48 - (437*t[88])/96 - (103*t[89])/12 - 
       (9*t[96])/4 - (3*t[97])/2 - 24*t[98] + 26*t[99] - (197*t[100])/8) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-33*t[2])/16 + t[3]/16 - (11*t[4])/8 + (45*t[5])/16 - t[6]/2 - 
       (113*t[7])/32 - (143*t[8])/32 - (239*t[9])/32 + (85*t[10])/32 - 
       (147*t[11])/32 - (1939*t[13])/576 - (59*t[14])/24 + (293*t[15])/192 + 
       t[19]/2 - t[21]/2 + t[23]/2 - (3*t[28])/4 + t[30]/2 - t[31]/2 + 
       t[37]/4 - t[39]/2 + t[41]/8 - t[42]/8 + (7*t[43])/32 + (3*t[44])/4 + 
       (5*t[45])/16 + (3*t[46])/8 - (15*t[47])/8 + (5*t[48])/32 - t[49] + 
       (21*t[50])/32 + (3*t[51])/32 - (21*t[52])/32 + t[53] + (35*t[54])/32 + 
       (3*t[59])/4 - (131*t[60])/24 + (983*t[61])/48 - (427*t[62])/96 + 
       (47*t[63])/96 + (5279*t[64])/96 - (2459*t[65])/144 - (89*t[66])/18 + 
       t[68]/4 + (3*t[69])/2 + (7*t[72])/6 - (3*t[73])/2 - (3*t[74])/4 + 
       (7*t[75])/4 - t[76] - t[77]/2 - (13*t[78])/2 - t[79]/4 + 
       (13*t[80])/4 - (11*t[81])/6 + (35*t[82])/12 + (109*t[83])/12 + 
       (23*t[84])/12 - t[85] - (49*t[86])/6 + (27*t[87])/8 + (27*t[88])/16 - 
       t[89]/24 + t[97] + 2*t[98] - (7*t[99])/2 - (295*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
      ((-15*t[2])/8 - (91*t[3])/32 - (27*t[4])/8 - (35*t[5])/32 + 
       (5*t[6])/8 + (21*t[7])/8 + (23*t[8])/8 + (53*t[9])/32 - t[10]/8 - 
       3*t[11] + (33*t[12])/32 - (317*t[13])/144 + (205*t[14])/96 - 
       t[15]/36 + t[20]/2 - t[22]/2 - t[28]/2 - t[29]/8 - (3*t[30])/4 + 
       t[31]/4 + (3*t[32])/8 - t[33]/4 + t[34]/2 + t[35]/2 + (3*t[36])/4 + 
       t[37]/4 + t[41]/8 - t[42]/8 + (3*t[43])/8 - (5*t[44])/16 - t[46]/8 + 
       t[47]/4 - t[48]/16 - (17*t[49])/16 + (9*t[50])/16 + (7*t[51])/16 - 
       (9*t[52])/16 + (17*t[53])/16 + (23*t[54])/8 + t[59]/2 + (61*t[60])/8 + 
       (2791*t[61])/144 - (2669*t[62])/288 + (1777*t[63])/96 - (7*t[64])/6 + 
       (1895*t[65])/216 - (353*t[66])/216 + (7*t[69])/2 - t[70] + t[71] + 
       t[72] - (5*t[73])/2 - (3*t[74])/4 + (25*t[75])/4 - t[76]/2 - 
       (3*t[77])/2 + t[78]/2 + (109*t[79])/48 - (5*t[80])/4 + 4*t[82] - 
       (56*t[83])/9 + (119*t[84])/144 - (929*t[85])/144 + (503*t[86])/144 - 
       (1363*t[87])/144 - (1219*t[88])/288 - (337*t[89])/48 - t[95]/2 + 
       (3*t[96])/2 + t[97] + 2*t[98] - (7*t[99])/2 - (145*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      (-16*t[59] + 25*t[60] + 11*t[61] + (289*t[62])/2 - (181*t[63])/2 - 
       75*t[64] + (323*t[65])/3 - 44*t[66] - 6*t[67] + 42*t[74] + 39*t[79] + 
       6*t[81] - 6*t[82] - 8*t[83] + 4*t[84] + 21*t[85] - 217*t[86] - 
       29*t[87] - (29*t[88])/2 - (43*t[89])/2 - 24*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      (-t[1]/3 + (83*t[2])/12 + (11*t[3])/24 + (187*t[4])/12 - 
       (211*t[5])/16 + 4*t[6] + (161*t[7])/24 - (5*t[8])/24 + 
       (1153*t[9])/48 - (133*t[10])/8 + (319*t[11])/24 + (125*t[12])/48 + 
       (803*t[13])/108 + (425*t[14])/48 - (653*t[15])/96 - t[18]/3 - 
       (2*t[27])/3 + t[28]/3 + (2*t[29])/3 - (2*t[30])/3 - 3*t[31] + 
       (2*t[32])/3 - (2*t[33])/3 + (8*t[34])/3 - t[37] - (2*t[38])/3 + 
       (4*t[39])/3 - (5*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 - (7*t[43])/6 - 
       (5*t[44])/3 - (19*t[45])/6 - 2*t[46] + 5*t[47] - t[48]/6 + 
       (23*t[49])/12 + 2*t[50] - (9*t[51])/8 - (23*t[53])/12 - (5*t[54])/2 + 
       (19*t[60])/3 + (115*t[61])/6 - (379*t[62])/24 + (131*t[63])/24 - 
       (59*t[64])/2 - (43*t[65])/36 - (959*t[66])/36 - t[75] + (7*t[76])/3 + 
       t[77] - (4*t[78])/3 - 2*t[79] + (14*t[80])/3 + (3*t[81])/2 - 3*t[82] + 
       t[83] + t[84]/4 + (8*t[85])/3 + 9*t[86] - (41*t[87])/6 - 
       (41*t[88])/12 - (17*t[89])/4 + t[97]/3 + 16*t[98] - 8*t[99] - 
       24*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      (-t[1]/3 + (79*t[2])/12 - (97*t[3])/24 + (17*t[4])/2 + (17*t[5])/6 + 
       (425*t[6])/48 - (51*t[7])/4 + (79*t[8])/12 + (13*t[9])/8 + 
       (323*t[11])/48 + t[12]/6 + (335*t[13])/36 + (1417*t[14])/144 + 
       (259*t[15])/54 + 3*t[28] - (2*t[29])/3 - (7*t[30])/6 + t[31]/3 - 
       (5*t[32])/2 + (5*t[33])/2 + (5*t[34])/3 - 2*t[35] - 2*t[36] - t[37] - 
       (2*t[38])/3 - t[39]/6 - (5*t[40])/6 - t[41]/2 + t[42]/2 - 
       (5*t[43])/6 - (13*t[44])/3 - (7*t[45])/3 + (2*t[47])/3 + 
       (91*t[48])/48 + (37*t[49])/12 - (103*t[50])/16 - (49*t[51])/24 + 
       (373*t[52])/48 - (37*t[53])/12 - (11*t[54])/48 + (2*t[59])/3 + 
       (131*t[60])/24 - (31*t[61])/8 + (445*t[62])/48 - (127*t[63])/16 - 
       (1837*t[64])/48 - (7*t[65])/72 - (523*t[66])/24 + 2*t[74] - 3*t[75] + 
       (13*t[76])/3 + (7*t[77])/3 - (22*t[78])/3 + 2*t[79] - t[80] + 
       (7*t[81])/6 - (13*t[82])/6 - 3*t[83] - (5*t[84])/24 + (53*t[85])/24 - 
       (40*t[86])/3 - (89*t[87])/8 - (89*t[88])/16 + (5*t[89])/48 + t[97]/3 + 
       16*t[98] - 8*t[99] - 24*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - w]*((-5*t[1])/6 - t[2] - (45*t[3])/4 + 
       (68*t[4])/3 - (43*t[5])/16 + (259*t[6])/16 + (21*t[7])/8 + 
       (145*t[8])/8 + (263*t[9])/16 - (199*t[10])/24 + (277*t[11])/16 + 
       (91*t[12])/48 + (101*t[13])/4 + (2083*t[14])/144 + (1835*t[15])/288 + 
       t[16]/3 - t[20] - t[21] + t[23] + (19*t[25])/2 - (49*t[26])/6 + 
       4*t[28] + 3*t[31] - 5*t[35] + (11*t[36])/6 + (8*t[37])/3 - 
       (4*t[38])/3 + 4*t[39] - 4*t[40] - t[41]/2 + t[42]/2 + 3*t[45] + 
       (19*t[46])/6 - 6*t[47] + (115*t[48])/16 - (103*t[49])/12 - 
       (93*t[50])/16 + (23*t[51])/16 + (77*t[52])/16 + (97*t[53])/12 + 
       (71*t[54])/48 - t[59]/6 + (317*t[60])/8 + (295*t[61])/8 + 
       (521*t[62])/16 - (381*t[63])/16 - (2435*t[64])/48 + (190*t[65])/9 - 
       52*t[66] + (2*t[67])/3 - (7*t[69])/2 - (3*t[70])/2 + (3*t[71])/2 - 
       (2*t[72])/3 - 2*t[73] - t[74]/3 + (11*t[75])/2 + t[76] + 4*t[77] + 
       4*t[78] + (5*t[79])/2 - (13*t[80])/2 + (25*t[81])/4 - (31*t[82])/12 - 
       (28*t[83])/3 + (161*t[84])/12 + (107*t[85])/24 - (299*t[86])/6 - 
       (583*t[87])/24 - (511*t[88])/48 + (643*t[89])/48 + t[95]/3 + 
       12*t[98] - 17*t[99] - 23*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-t[1]/3 + t[2] + (145*t[3])/24 - 
       (865*t[4])/24 - (31*t[5])/12 - (51*t[6])/4 + (173*t[7])/24 + 
       (57*t[8])/8 - (179*t[9])/24 - (565*t[10])/48 - (8*t[11])/3 + 
       (779*t[12])/48 - (1253*t[13])/144 - (5729*t[14])/288 - 
       (187*t[15])/144 + t[20] + t[21] - t[23] - (11*t[25])/6 + 
       (13*t[26])/6 - (7*t[28])/2 - (9*t[31])/2 + (7*t[35])/2 + 
       (14*t[36])/3 + t[37]/3 - t[38]/3 - (7*t[39])/2 + (7*t[40])/2 + 
       t[41]/2 - t[42]/2 - (11*t[45])/2 + (5*t[46])/4 + 11*t[47] - 3*t[48] - 
       (233*t[49])/48 + (43*t[50])/12 + (209*t[51])/96 - (31*t[52])/12 + 
       (269*t[53])/48 + (77*t[54])/24 + t[59]/3 - (2107*t[60])/24 - 
       (19*t[61])/6 - (197*t[62])/8 + (385*t[63])/12 + (2879*t[64])/24 + 
       (2893*t[65])/72 + (3085*t[66])/72 + 4*t[69] + (2*t[72])/3 - 
       (8*t[74])/3 - 4*t[75] + t[76] - (7*t[77])/2 - (5*t[78])/2 + 2*t[79] + 
       11*t[80] - (19*t[81])/12 + (35*t[82])/12 + (97*t[83])/6 - 16*t[84] - 
       (229*t[85])/24 + 64*t[86] + (1213*t[87])/24 + (1165*t[88])/48 - 
       (69*t[89])/8 + (7*t[95])/3 + 12*t[98] - 17*t[99] - 22*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((5*t[1])/6 - (13*t[2])/12 + (475*t[3])/12 + (5*t[5])/12 - 
       (157*t[6])/24 - (209*t[7])/12 + (7*t[8])/2 - (26*t[9])/3 - 
       (58*t[10])/3 + (157*t[11])/8 - (61*t[12])/6 + (89*t[13])/6 - 
       (1543*t[14])/72 - (691*t[15])/108 - (3*t[17])/2 - 2*t[20] + 2*t[21] + 
       t[22] - (7*t[23])/3 + 3*t[24] - t[27] + 6*t[28] - (10*t[29])/3 - 
       (64*t[30])/3 + 2*t[32] + t[33] - (62*t[34])/3 - 8*t[35] + 2*t[36] - 
       2*t[37] + (5*t[38])/3 + 9*t[39] - (11*t[40])/2 + 2*t[41] - t[42]/2 + 
       2*t[43] - (16*t[44])/3 + (65*t[45])/6 - t[46] - (37*t[47])/6 - 
       (15*t[48])/8 - (11*t[49])/3 - (349*t[50])/24 + (53*t[51])/12 + 
       (317*t[52])/24 + (11*t[53])/3 - (17*t[54])/8 + (79*t[59])/12 - 
       (137*t[60])/12 + (79*t[61])/3 - (785*t[62])/24 - (681*t[63])/8 + 
       (77*t[64])/12 - (73*t[65])/18 - (1721*t[66])/18 + (3*t[68])/2 - 
       4*t[69] + 6*t[72] + 2*t[73] + 2*t[74] - 4*t[75] - (89*t[76])/6 - 
       4*t[77] + (29*t[78])/3 - 8*t[79] + 11*t[80] - (5*t[81])/3 - 
       (19*t[82])/3 + 8*t[83] - t[84]/3 - (73*t[85])/12 + 34*t[86] + 
       (79*t[87])/12 + (55*t[88])/24 - (131*t[89])/12 - (3*t[90])/2 - 
       (5*t[97])/6 - 76*t[98] + 60*t[99] - 22*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((13*t[1])/2 - (5*t[2])/2 + (43*t[3])/2 + (93*t[4])/2 + (153*t[5])/4 - 
       t[6] - (133*t[7])/2 - (15*t[8])/2 - (443*t[9])/4 - (225*t[10])/4 - 
       (73*t[11])/2 - (95*t[12])/2 - (1349*t[13])/36 - (461*t[14])/8 + 
       (401*t[15])/24 + 2*t[22] + 2*t[25] + t[26] - 2*t[27] + 4*t[28] + 
       2*t[29] + 2*t[30] - 16*t[31] - 2*t[32] + 2*t[33] - 17*t[34] - 
       24*t[35] + 8*t[37] + 2*t[38] + 6*t[40] + (3*t[41])/2 - (3*t[42])/2 + 
       16*t[43] - 2*t[44] - 2*t[45] + 6*t[46] - 28*t[47] + 23*t[48] - 
       (37*t[49])/4 - 3*t[50] + (13*t[51])/8 - 4*t[52] + (37*t[53])/4 + 
       (5*t[54])/2 + t[58] + 6*t[59] - (237*t[60])/8 - (855*t[61])/8 + 
       (3313*t[62])/16 - (313*t[63])/16 + (1881*t[64])/16 - (2857*t[65])/24 + 
       (2591*t[66])/24 + 8*t[69] - 20*t[72] + 8*t[73] + 16*t[74] + 20*t[75] + 
       19*t[76] + 63*t[78] + 40*t[80] - 11*t[81] - 9*t[82] - 10*t[83] + 
       (81*t[84])/8 - (599*t[85])/8 - 44*t[86] + (527*t[87])/8 + 
       (527*t[88])/16 - (11*t[89])/16 + t[91]/6 - 2*t[93] - 6*t[97] - 
       168*t[98] + 168*t[99] - 22*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((23*t[1])/18 - 
       (1573*t[2])/72 - (791*t[3])/72 + (5603*t[4])/144 + (1627*t[5])/96 - 
       (145*t[6])/48 - (1703*t[7])/72 - (991*t[8])/18 - (11933*t[9])/288 + 
       (2203*t[10])/96 + (413*t[11])/18 - (2545*t[12])/72 + 
       (32155*t[13])/1296 + (409*t[14])/192 + (9613*t[15])/1728 + 
       (5*t[17])/3 + t[19] + 6*t[20] - 4*t[21] + 8*t[23] + (2*t[24])/3 - 
       (28*t[27])/9 - (4*t[28])/9 + (97*t[29])/36 + (53*t[30])/9 - 
       (10*t[31])/3 - (181*t[32])/18 + (77*t[33])/9 - (23*t[34])/9 + t[35] - 
       4*t[36] + (8*t[37])/3 + (25*t[38])/18 - (137*t[39])/18 + 
       (449*t[40])/36 + (2*t[41])/9 - (2*t[42])/9 + (437*t[43])/144 + 
       (547*t[44])/72 + (461*t[45])/36 + (7*t[46])/4 - (65*t[47])/3 - 
       (517*t[48])/144 + (4391*t[49])/288 + (13*t[50])/48 - 
       (1253*t[51])/192 - (207*t[52])/16 - (4199*t[53])/288 - 
       (517*t[54])/24 - (5*t[55])/6 - t[56]/2 + t[57] + (7*t[59])/3 + 
       (6977*t[60])/144 - (521*t[61])/144 - (2483*t[62])/288 - 
       (13649*t[63])/288 + (1037*t[64])/96 - (36899*t[65])/432 - 
       (46357*t[66])/432 - t[67]/6 - (11*t[68])/2 + (14*t[69])/3 - 
       (2*t[70])/3 + (2*t[71])/3 - (5*t[73])/6 + 3*t[74] + (23*t[75])/6 + 
       (271*t[76])/18 + (23*t[77])/6 - (218*t[78])/9 - (21*t[79])/2 - 
       t[80]/18 + (83*t[81])/12 - (76*t[82])/3 + (13*t[83])/6 + 
       (617*t[84])/48 + (745*t[85])/144 - (55*t[86])/12 - (3785*t[87])/144 - 
       (4553*t[88])/288 + (701*t[89])/96 - t[90]/6 - t[91]/12 + t[93] + 
       (7*t[96])/3 - (7*t[97])/9 - (13*t[98])/3 + (13*t[99])/3 - 
       (65*t[100])/3) + HPL[{0, 1, 1}, 1 - u]*Omega2[w, u, v]*
      (t[3]/2 + 2*t[4] - (3*t[5])/4 - t[6] - t[7]/2 - (3*t[8])/2 - 
       (9*t[9])/4 - (7*t[10])/2 - t[11]/2 - (17*t[12])/4 - t[13]/2 + 
       (5*t[14])/4 - t[15]/24 - t[22] - 2*t[29] - 8*t[60] + 3*t[61] + 
       2*t[62] - 2*t[64] + (13*t[65])/3 + t[66] - t[82] + 4*t[83] + 4*t[87] + 
       2*t[88] - 4*t[99] - (43*t[100])/2) + HPL[{0, 1, 1}, 1 - v]*
      Omega2[v, w, u]*(t[3]/2 + 2*t[4] + t[5] + (7*t[6])/4 - 5*t[7] - 
       3*t[8] - t[9]/2 + 2*t[10] + (9*t[11])/4 - t[12] + (11*t[13])/6 + 
       (23*t[14])/12 - (7*t[15])/6 - t[39] + t[40] - t[44] - (3*t[48])/4 - 
       (3*t[50])/4 - t[51]/2 + (3*t[52])/4 - (9*t[54])/4 + (15*t[60])/4 + 
       (37*t[61])/4 + (5*t[62])/4 + (111*t[63])/4 + (395*t[64])/8 - 
       (33*t[66])/4 - 2*t[69] + t[72] + 2*t[75] + t[77]/2 + 2*t[79] + 
       6*t[80] - t[81] + t[82] - 9*t[83] + (11*t[84])/2 - t[85] - 10*t[86] - 
       3*t[87] - (3*t[88])/2 + (47*t[89])/8 - 4*t[99] - (43*t[100])/2) + 
     HPL[{1}, 1 - v]^2*Qep[w, v, u]*((560*t[61])/9 + (400*t[62])/9 + 
       (88*t[63])/3 - (52*t[64])/3 - (1384*t[65])/27 - (1088*t[66])/27 - 
       (40*t[79])/3 - (64*t[83])/9 - (32*t[84])/9 + (32*t[85])/9 - 
       (632*t[86])/9 + (64*t[87])/9 + (32*t[88])/9 - (32*t[89])/3 - 
       (64*t[100])/3) + HPL[{0, 1}, 1 - u]*Qep[u, w, v]*
      ((224*t[1])/9 - (448*t[2])/9 + (670*t[3])/9 + (1252*t[4])/9 + 
       317*t[5] - 68*t[6] - (3218*t[7])/9 - (166*t[8])/9 - (6425*t[9])/9 - 
       46*t[10] - (370*t[11])/9 - (2089*t[12])/9 + (740*t[13])/81 - 
       343*t[14] + (2909*t[15])/18 + 16*t[22] + (64*t[27])/9 - 
       (128*t[28])/9 - (64*t[29])/9 + (352*t[30])/9 - (128*t[31])/3 - 
       (256*t[32])/9 + (256*t[33])/9 - (1024*t[34])/9 - 64*t[35] + 
       (64*t[37])/3 + (256*t[38])/9 - (320*t[39])/9 + (640*t[40])/9 + 
       (40*t[41])/9 - (40*t[42])/9 + (460*t[43])/9 + (64*t[44])/9 + 
       (184*t[45])/9 + (64*t[46])/3 - (208*t[47])/3 + (196*t[48])/9 - 
       (256*t[49])/9 - (52*t[50])/3 + (64*t[51])/3 - 68*t[52] + 
       (256*t[53])/9 - 68*t[54] + (56*t[59])/3 - (1304*t[60])/9 - 
       (4744*t[61])/9 + (5860*t[62])/9 - (3380*t[63])/9 + (604*t[64])/3 - 
       (6052*t[65])/27 + (11284*t[66])/27 + (64*t[69])/3 - (32*t[73])/3 + 
       (128*t[74])/3 + (32*t[75])/3 - (896*t[76])/9 - (80*t[77])/3 + 
       (512*t[78])/9 + (992*t[80])/9 - 48*t[81] + 16*t[82] - (128*t[83])/3 + 
       (128*t[84])/3 - (1480*t[85])/9 - (320*t[86])/3 + (1832*t[87])/9 + 
       (916*t[88])/9 + (172*t[89])/3 - (128*t[97])/9 - (2432*t[98])/3 + 
       (2432*t[99])/3 - (64*t[100])/3) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-2*t[1] + 31*t[2] + (203*t[3])/16 - 
       (75*t[4])/2 + (143*t[5])/4 + (563*t[6])/32 - (75*t[7])/2 + 
       (107*t[8])/4 - (105*t[9])/16 + 3*t[10] - (1051*t[11])/32 + 
       (17*t[12])/2 - (427*t[13])/48 + (519*t[14])/32 + (197*t[15])/72 - 
       3*t[18] + (17*t[29])/4 - 4*t[30] - 4*t[31] - (3*t[32])/2 + 
       (3*t[33])/2 + (23*t[34])/2 - 30*t[35] - 3*t[36] - 3*t[37] - 4*t[38] - 
       (5*t[39])/2 - (7*t[40])/2 - (3*t[41])/2 + (3*t[42])/2 - 2*t[43] - 
       (19*t[44])/2 - 14*t[45] + 7*t[47] + (13*t[48])/32 + (35*t[49])/4 - 
       (507*t[50])/32 - (59*t[51])/8 + (763*t[52])/32 - (35*t[53])/4 + 
       (331*t[54])/32 - t[59]/4 - (499*t[60])/16 - (611*t[61])/16 - 
       (1371*t[62])/32 + (507*t[63])/32 + (1073*t[64])/32 - (1417*t[65])/48 - 
       (1243*t[66])/48 - 2*t[67] - 10*t[69] + 9*t[70] - 7*t[71] - 3*t[72] + 
       9*t[74] - 21*t[75] + 23*t[76] + 2*t[77] - 44*t[78] + 33*t[79] + 
       9*t[80] - 2*t[81] + (13*t[82])/2 + (75*t[83])/2 - (305*t[84])/16 + 
       (131*t[85])/16 + 25*t[86] - (69*t[87])/16 - (69*t[88])/32 - 
       (1033*t[89])/32 + 2*t[97] + 114*t[98] - 114*t[99] - 21*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      (-2*t[1] + (69*t[2])/2 - (13*t[3])/16 - (101*t[4])/8 - (615*t[5])/32 + 
       (141*t[6])/8 - (211*t[7])/16 + (283*t[8])/16 + (1543*t[9])/32 - 
       (321*t[10])/16 - (647*t[11])/16 + (371*t[12])/32 - (3167*t[13])/144 + 
       (2999*t[14])/96 - (2665*t[15])/192 + (13*t[18])/2 - (3*t[22])/2 - 
       t[27] + 8*t[28] + t[29] - 7*t[30] + 4*t[32] - 4*t[33] + 16*t[34] - 
       12*t[35] - 3*t[37] - 4*t[38] + 8*t[39] - 10*t[40] - (13*t[41])/4 + 
       (13*t[42])/4 - (5*t[43])/2 - 4*t[44] - (13*t[45])/4 - (3*t[46])/2 - 
       (21*t[47])/2 + 14*t[48] + t[49] - (15*t[50])/2 - (27*t[51])/8 + 
       (39*t[52])/2 - t[53] + (51*t[54])/2 - (23*t[59])/4 - (47*t[60])/2 + 
       (97*t[61])/2 - (33*t[62])/8 + (241*t[63])/8 - (369*t[64])/8 + 
       (731*t[65])/24 + (13*t[66])/24 - 2*t[67] - 10*t[69] + 9*t[70] - 
       7*t[71] + 12*t[74] - 3*t[75] + 14*t[76] + (9*t[77])/2 - 8*t[78] + 
       9*t[79] - (13*t[80])/2 + 3*t[81] + (9*t[82])/4 + (33*t[83])/2 - 
       6*t[84] + 10*t[85] - (63*t[86])/2 + 10*t[87] + 5*t[88] - 
       (45*t[89])/4 + 2*t[97] + 114*t[98] - 114*t[99] - 21*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*(12*t[99] - 21*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*(3*t[10] - 2*t[13] + 
       (9*t[14])/2 - t[15] + 3*t[49] - (3*t[51])/2 - 3*t[53] + (39*t[60])/2 + 
       (63*t[61])/2 + (9*t[62])/4 - (93*t[63])/4 - (777*t[64])/4 - 20*t[65] - 
       (107*t[66])/2 + 6*t[69] - 6*t[75] - 9*t[79] - 12*t[80] + 3*t[81] - 
       9*t[82] + 33*t[83] - (3*t[84])/2 + 6*t[85] + 3*t[86] - 15*t[87] - 
       (15*t[88])/2 - (111*t[89])/4 + 12*t[99] - 21*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((17*t[1])/24 - (305*t[2])/48 - (97*t[3])/64 + (125*t[4])/96 + 
       (51*t[5])/8 + (1849*t[6])/384 - (175*t[7])/32 + (169*t[8])/6 - 
       (2879*t[9])/192 + (1619*t[10])/192 + (3215*t[11])/384 + 
       (751*t[12])/192 + (4427*t[13])/1728 + (47*t[14])/6 + 
       (13157*t[15])/1728 + 3*t[20] - (9*t[28])/4 - (673*t[29])/96 - 
       (277*t[30])/96 + (5*t[31])/4 + (169*t[32])/96 - (75*t[33])/32 + 
       (61*t[34])/24 + (21*t[35])/2 - (3*t[36])/8 - t[37]/4 - (7*t[38])/12 + 
       (59*t[39])/32 - (289*t[40])/96 + (7*t[41])/12 - (7*t[42])/12 + 
       t[43]/8 - (11*t[44])/4 - (49*t[45])/12 + t[46]/8 + (49*t[47])/12 + 
       (1567*t[48])/384 + (279*t[49])/64 - (2449*t[50])/384 - 
       (913*t[51])/384 + (1115*t[52])/128 - (389*t[53])/192 - 
       (167*t[54])/384 + (113*t[59])/48 - (3841*t[60])/192 + 
       (1355*t[61])/64 - (3593*t[62])/384 + (3941*t[63])/384 + 
       (8083*t[64])/384 - (637*t[65])/576 - (493*t[66])/192 + (11*t[69])/4 + 
       2*t[72] - (7*t[73])/2 - t[74]/2 - (7*t[75])/2 + (39*t[76])/4 + 
       (17*t[77])/12 - (32*t[78])/3 + (7*t[79])/2 + (41*t[80])/6 - 
       (5*t[81])/24 - (17*t[82])/24 + (151*t[83])/8 - (2009*t[84])/192 - 
       (307*t[85])/64 - (17*t[86])/2 + (479*t[87])/64 + (1325*t[88])/384 - 
       (1043*t[89])/384 + (7*t[96])/2 + (35*t[97])/12 + (251*t[98])/4 - 
       (251*t[99])/4 - (163*t[100])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]^2*(t[1]/6 - (2*t[2])/3 - (83*t[3])/48 + (9*t[4])/2 - 
       (29*t[5])/3 - (131*t[6])/96 + (31*t[7])/4 - t[8]/6 + (109*t[9])/16 - 
       (41*t[10])/8 + (619*t[11])/96 - (7*t[12])/3 + (31*t[13])/18 + 
       (875*t[14])/288 - (307*t[15])/432 - t[28]/2 + t[29]/3 + (7*t[30])/12 + 
       (4*t[31])/3 + (3*t[32])/4 - (3*t[33])/4 - (5*t[34])/6 + (5*t[35])/2 + 
       t[36] + t[38]/3 + t[39]/12 + (5*t[40])/12 + (11*t[43])/12 + 
       (7*t[44])/6 + (7*t[45])/6 - t[46]/4 - (5*t[47])/6 - (61*t[48])/96 - 
       (19*t[49])/24 + (65*t[50])/32 + (11*t[51])/24 - (259*t[52])/96 + 
       (19*t[53])/24 - (67*t[54])/96 + t[59]/6 + (355*t[60])/48 + 
       (217*t[61])/16 - (781*t[62])/96 + (87*t[63])/32 - (929*t[64])/96 - 
       (161*t[65])/144 - (731*t[66])/48 + t[74]/2 + (3*t[75])/2 - 
       (13*t[76])/6 - (2*t[77])/3 + (25*t[78])/6 - (13*t[79])/2 + 2*t[80] - 
       (7*t[81])/12 - (29*t[82])/12 - (9*t[83])/4 + (101*t[84])/48 + 
       (67*t[85])/48 + (31*t[86])/6 - (7*t[87])/16 - (7*t[88])/32 + 
       (517*t[89])/96 - t[97]/6 - 8*t[98] + 15*t[99] - (159*t[100])/8) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((5*t[59])/2 + (47*t[60])/2 + (59*t[61])/2 + (95*t[62])/2 + 
       (101*t[63])/4 - (107*t[64])/2 + (25*t[65])/3 + (7*t[66])/4 - t[69] + 
       2*t[72] + 12*t[74] - t[77] - 9*t[79] - 3*t[80] + t[81] - t[82] - 
       t[83]/2 + (3*t[84])/4 + (35*t[85])/4 - 62*t[86] - (41*t[87])/4 - 
       (41*t[88])/8 - 9*t[89] - (39*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((83*t[1])/8 - (81*t[2])/8 + 27*t[3] - (25*t[4])/8 + (447*t[5])/4 - 
       (387*t[6])/8 - (715*t[7])/8 - (1001*t[8])/8 - (613*t[9])/4 - 
       (447*t[10])/16 - (315*t[11])/8 - (1487*t[12])/16 - (3991*t[13])/144 - 
       (9127*t[14])/96 + (235*t[15])/6 - (3*t[22])/2 - 12*t[25] - 
       (9*t[26])/4 + 2*t[27] + 4*t[28] - 8*t[29] + 2*t[30] - 12*t[31] - 
       (3*t[32])/2 + (13*t[33])/2 - (23*t[34])/4 - 24*t[35] + 6*t[37] + 
       14*t[38] - (5*t[39])/2 + 14*t[40] + (3*t[41])/8 - (3*t[42])/8 + 
       (149*t[43])/8 + 17*t[44] - (15*t[45])/4 + 3*t[46] - 32*t[47] - 
       (115*t[48])/8 + (53*t[49])/16 + (53*t[50])/8 - (37*t[51])/32 - 
       (191*t[52])/8 - (53*t[53])/16 - (63*t[54])/2 - (9*t[58])/4 - t[59]/8 - 
       (689*t[60])/8 - (1087*t[61])/8 + (2651*t[62])/16 + (737*t[63])/16 + 
       (1593*t[64])/16 - (613*t[65])/8 + (4009*t[66])/24 + 6*t[69] + 
       12*t[73] + 12*t[74] - 25*t[75] + (35*t[76])/4 + 5*t[77] - 5*t[78] + 
       5*t[79] + (63*t[80])/2 + (13*t[81])/4 - (3*t[82])/4 + 20*t[83] - 
       (61*t[84])/8 - (51*t[85])/8 - 13*t[86] + (391*t[87])/8 + 
       (391*t[88])/16 - (689*t[89])/16 + (5*t[97])/4 - 84*t[98] + 72*t[99] - 
       (39*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((9*t[1])/4 - (81*t[2])/8 - (831*t[3])/64 + 
       (25*t[4])/6 + (581*t[5])/96 + (1859*t[6])/128 + (1495*t[7])/48 + 
       (1127*t[8])/24 + (2423*t[9])/192 + (113*t[10])/4 + (16175*t[11])/384 + 
       (2611*t[12])/96 + (36667*t[13])/1728 + (25519*t[14])/1152 + 
       (727*t[15])/144 - t[17]/12 + t[19]/6 + t[20]/2 + t[21]/2 - t[22] - 
       t[23]/2 + t[24]/6 + (5*t[25])/6 + (5*t[26])/3 - 2*t[27] + 2*t[28] + 
       (7*t[29])/3 - (9*t[30])/16 - 4*t[31] + (63*t[32])/16 - 
       (181*t[33])/48 - (13*t[34])/8 + t[35] + (14*t[36])/3 - (3*t[37])/2 - 
       (5*t[38])/6 + (31*t[39])/8 - (29*t[40])/8 + (29*t[41])/12 - 
       (29*t[42])/12 - t[43]/2 - (139*t[44])/24 - (55*t[45])/12 - 
       (10*t[46])/3 + (107*t[47])/12 + (853*t[48])/128 + (23*t[49])/4 - 
       (4073*t[50])/384 + (13*t[51])/12 + (1059*t[52])/128 - (19*t[53])/12 - 
       (3511*t[54])/384 + (2*t[58])/3 + (75*t[59])/16 - (143*t[60])/64 + 
       (14383*t[61])/192 - (33641*t[62])/384 - (8125*t[63])/128 + 
       (31363*t[64])/384 - (707*t[65])/576 - (2731*t[66])/192 + t[68]/6 + 
       (10*t[69])/3 - t[70]/2 + t[71]/2 + t[72]/3 + t[73] - (49*t[74])/12 - 
       (8*t[75])/3 + (69*t[76])/4 + (47*t[77])/12 - (70*t[78])/3 + 
       (31*t[79])/4 + (26*t[80])/3 - (139*t[81])/24 - (25*t[82])/6 + 
       (41*t[83])/12 - (1513*t[84])/64 - (6019*t[85])/192 + (323*t[86])/12 + 
       (6049*t[87])/192 + (2827*t[88])/128 + (6305*t[89])/384 - (2*t[95])/3 + 
       (32*t[96])/3 + (115*t[97])/12 + 90*t[98] - 109*t[99] - 
       (115*t[100])/6) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-8*t[1])/9 - (49*t[2])/12 - (589*t[3])/72 - 
       (25*t[4])/6 + (107*t[5])/18 + (619*t[6])/48 - (32*t[7])/3 + 
       (913*t[8])/36 - (1007*t[9])/72 - t[10]/9 + (67*t[11])/144 + 
       (109*t[12])/36 - (353*t[13])/216 + (4019*t[14])/432 + 
       (8473*t[15])/648 + 2*t[20] - (685*t[29])/72 - (17*t[30])/36 + 
       4*t[31] - (41*t[32])/36 + (5*t[33])/12 + (53*t[34])/9 + (32*t[35])/3 + 
       t[36] - (16*t[38])/9 - t[39]/12 - (83*t[40])/36 - t[43]/3 - 
       (8*t[44])/3 - (56*t[45])/9 - t[46]/2 + (40*t[47])/9 + (377*t[48])/48 + 
       (97*t[49])/36 - (757*t[50])/144 - (47*t[51])/18 + (1589*t[52])/144 - 
       (89*t[53])/36 + (713*t[54])/144 + (53*t[59])/18 - (1507*t[60])/72 + 
       (229*t[61])/24 - (109*t[62])/24 + (3577*t[63])/72 + (373*t[64])/16 + 
       (1001*t[65])/36 + (1879*t[66])/72 + 2*t[69] + 4*t[72] - t[73]/3 - 
       t[74] - 5*t[75] + (58*t[76])/9 - t[77] - (20*t[78])/3 + 2*t[79] + 
       6*t[80] - (40*t[81])/9 + (32*t[82])/9 + (37*t[83])/6 - 
       (515*t[84])/72 - (3*t[85])/8 - (2*t[86])/3 + (71*t[87])/8 - 
       (121*t[88])/144 - (1177*t[89])/144 + (8*t[97])/9 + (136*t[98])/3 - 
       46*t[99] - 19*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]^2*((5*t[1])/12 - (5*t[2])/6 + (7*t[3])/48 + 
       (23*t[4])/24 + (167*t[5])/32 + (3*t[6])/16 + (109*t[7])/48 + 
       (155*t[8])/48 - (733*t[9])/96 + (41*t[10])/16 + (115*t[11])/24 - 
       (137*t[12])/96 + (1361*t[13])/432 - (41*t[14])/96 + (629*t[15])/192 + 
       t[22]/2 + t[27]/3 - (5*t[28])/3 - t[29]/3 + (4*t[30])/3 + t[31]/2 - 
       t[32]/3 + t[33]/3 - (4*t[34])/3 + t[38]/3 - (2*t[39])/3 + 
       (5*t[40])/6 + t[41]/12 - t[42]/12 + (7*t[43])/12 + (11*t[44])/6 + 
       (13*t[45])/12 + t[46]/2 - (3*t[47])/2 - (35*t[48])/48 - t[49]/12 - 
       (5*t[50])/16 + t[51]/8 - (11*t[52])/16 + t[53]/12 - (27*t[54])/16 + 
       (3*t[59])/4 + (103*t[60])/48 + (107*t[61])/48 + (475*t[62])/96 - 
       (17*t[63])/32 - (2149*t[64])/96 + (397*t[65])/48 + t[66]/24 - 
       t[67]/8 - t[69]/2 - t[72]/2 - t[73] + t[74]/4 + 2*t[75] - 
       (7*t[76])/6 + (13*t[78])/6 + t[79]/4 - (19*t[80])/12 + t[81]/4 - 
       (103*t[83])/12 + (41*t[84])/12 - (33*t[85])/8 + (19*t[86])/3 - 
       (27*t[87])/8 - (27*t[88])/16 - (181*t[89])/96 - t[97]/6 - 8*t[98] + 
       15*t[99] - (151*t[100])/8) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((31*t[1])/9 - (667*t[2])/72 - (2119*t[3])/576 + 
       (3127*t[4])/288 + (3137*t[5])/384 - (253*t[6])/96 - (2863*t[7])/576 + 
       (12691*t[8])/576 - (11279*t[9])/1152 + (9589*t[10])/192 + 
       (14833*t[11])/576 + (27281*t[12])/1152 + (31265*t[13])/2592 + 
       (9119*t[14])/1152 + (2107*t[15])/2304 + t[17]/4 + t[19] + 
       (3*t[22])/8 - t[24] + (19*t[27])/18 - (37*t[28])/9 - (19*t[29])/18 + 
       (101*t[30])/36 - (13*t[31])/3 - (2*t[32])/9 + (2*t[33])/9 - 
       (8*t[34])/9 - (17*t[35])/2 + t[37]/6 + (2*t[38])/9 - (41*t[39])/18 + 
       (8*t[40])/9 - (85*t[41])/144 + (85*t[42])/144 - (2291*t[43])/288 + 
       t[44]/18 + (29*t[45])/144 - (19*t[46])/4 + (75*t[47])/8 + 
       (1075*t[48])/288 + (199*t[49])/36 + (185*t[50])/96 + (83*t[51])/48 - 
       (83*t[52])/32 - (199*t[53])/36 - (259*t[54])/32 + (17*t[59])/48 + 
       (2537*t[60])/144 + (3553*t[61])/144 - (3097*t[62])/144 + 
       (9797*t[63])/144 - (973*t[64])/32 + (26735*t[65])/864 + 
       (16813*t[66])/864 + t[67]/2 + (2*t[69])/3 - (7*t[72])/2 - 
       (19*t[73])/12 - (19*t[74])/3 + (55*t[75])/12 - (7*t[76])/9 + 
       (41*t[77])/24 + (22*t[78])/9 + (145*t[79])/24 + (199*t[80])/36 + 
       (5*t[81])/24 + (61*t[82])/24 - (47*t[83])/4 + (43*t[84])/8 - 
       (497*t[85])/144 - (625*t[86])/24 - (2087*t[87])/144 - 
       (2087*t[88])/288 - (319*t[89])/32 - t[94]/2 - t[97]/9 - t[98]/3 + 
       (7*t[99])/3 - (56*t[100])/3) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*((-5*t[1])/6 - (71*t[2])/96 - (455*t[3])/96 + 
       (1577*t[4])/96 - (965*t[5])/96 - (125*t[6])/96 + (181*t[7])/12 - 
       (1765*t[8])/48 + (4867*t[9])/192 + (865*t[10])/64 + (103*t[11])/16 + 
       (173*t[12])/64 - (127*t[13])/18 + (39101*t[14])/1152 + 
       (125*t[15])/72 - t[18]/3 - 3*t[21] - t[22]/6 + (8*t[23])/3 - 
       (7*t[26])/12 - t[27]/6 + t[28]/3 + t[29]/6 - t[30]/6 + (7*t[31])/4 - 
       t[32]/12 + t[33]/12 + (59*t[34])/12 - t[35]/4 + t[37]/4 - 
       (13*t[38])/12 + t[39]/12 + (9*t[40])/8 + t[41]/12 + t[42]/24 - 
       (23*t[43])/16 + t[44]/3 + t[45]/8 + (17*t[46])/16 - (203*t[47])/24 - 
       (1141*t[48])/96 + (1631*t[49])/192 + (133*t[50])/32 - 
       (1993*t[51])/384 - (165*t[52])/32 - (1631*t[53])/192 - 
       (109*t[54])/48 - (7*t[58])/12 + (377*t[59])/48 + (1089*t[60])/32 + 
       (2681*t[61])/96 - (1091*t[62])/192 + (4447*t[63])/64 - 
       (20927*t[64])/192 - (145*t[65])/4 - (3653*t[66])/144 + (13*t[69])/2 + 
       t[72]/4 + (9*t[73])/8 + 4*t[74] - (3*t[75])/8 + (71*t[76])/8 + 
       (7*t[77])/12 - 5*t[78] - (19*t[79])/4 - (161*t[80])/6 + 
       (89*t[81])/16 - (35*t[82])/24 + (49*t[83])/24 + (23*t[84])/16 + 
       (635*t[85])/32 - (193*t[86])/24 - (4645*t[87])/96 - (4645*t[88])/192 - 
       (1619*t[89])/64 + (9*t[97])/8 + (237*t[98])/4 - (237*t[99])/4 - 
       (147*t[100])/8) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((163*t[1])/27 + (13*t[2])/3 - (287*t[3])/24 - 
       (191*t[4])/12 - (3041*t[5])/144 + (29*t[6])/12 + (403*t[7])/9 - 
       (583*t[8])/36 + (526*t[9])/9 - (289*t[10])/18 + (159*t[11])/8 + 
       (1969*t[12])/144 + (83*t[13])/24 + (12719*t[14])/432 - 
       (331*t[15])/864 - (2*t[18])/9 - 2*t[21] - (8*t[22])/9 + (16*t[23])/9 + 
       (16*t[32])/9 - (16*t[33])/9 + (64*t[34])/9 - (16*t[38])/9 + 
       (16*t[39])/9 - (2*t[40])/3 + (25*t[41])/18 - (3*t[42])/2 - 
       (43*t[43])/36 - (2*t[44])/3 - (41*t[45])/9 - t[46] + (29*t[47])/9 - 
       (353*t[48])/36 - (125*t[49])/36 + (329*t[50])/36 - (37*t[51])/72 - 
       (233*t[52])/36 + (125*t[53])/36 - t[54]/4 - (5*t[59])/54 + 
       (2675*t[60])/144 + (4465*t[61])/144 - (359*t[62])/8 + (659*t[63])/18 - 
       (13859*t[64])/288 + (719*t[65])/432 - (5279*t[66])/432 + (4*t[69])/3 + 
       t[70] - t[71] - (2*t[73])/3 + (11*t[74])/4 + (4*t[75])/3 + 
       (86*t[76])/9 + (3*t[77])/2 - (20*t[78])/9 + (2*t[79])/3 - 
       (146*t[80])/9 + (83*t[81])/24 + (263*t[82])/72 + (97*t[83])/18 - 
       (59*t[84])/18 + (1295*t[85])/144 + (205*t[86])/4 - (3583*t[87])/144 - 
       (3583*t[88])/288 - (6713*t[89])/288 + (2*t[97])/9 + (136*t[98])/3 - 
       46*t[99] - (109*t[100])/6) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-2*t[1] + 7*t[2] - (49*t[3])/16 - 
       (29*t[4])/8 - (1071*t[5])/32 + (51*t[6])/8 + (509*t[7])/16 - 
       (365*t[8])/16 + (2191*t[9])/32 - (441*t[10])/16 - (191*t[11])/16 + 
       (395*t[12])/32 - (2801*t[13])/144 + (1333*t[14])/32 - 
       (1155*t[15])/64 - (3*t[22])/2 - 4*t[27] + 2*t[28] + 4*t[29] - 
       4*t[30] + 4*t[32] - 4*t[33] + 16*t[34] + 6*t[35] - 4*t[38] + 5*t[39] - 
       10*t[40] - t[41]/4 + t[42]/4 - t[43] - t[44] - (13*t[45])/4 - 
       (3*t[46])/2 - (15*t[47])/2 + 5*t[48] + (11*t[49])/2 + 3*t[50] - 
       (39*t[51])/8 + 9*t[52] - (11*t[53])/2 + 9*t[54] + (3*t[59])/4 + 
       20*t[60] + (83*t[61])/2 - (215*t[62])/8 + (487*t[63])/8 - 
       (291*t[64])/8 - (325*t[65])/24 - (419*t[66])/24 + 14*t[76] + 
       (9*t[77])/2 - 8*t[78] + (5*t[80])/2 + 6*t[81] - (27*t[82])/4 - 
       3*t[84] + 13*t[85] - (9*t[86])/2 - 29*t[87] - (29*t[88])/2 - 
       (33*t[89])/2 + 2*t[97] + 114*t[98] - 120*t[99] - 18*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-2*t[1] + (7*t[2])/2 + (71*t[3])/16 - (57*t[4])/2 + (89*t[5])/4 + 
       (275*t[6])/32 - 3*t[7] - t[8]/4 + (207*t[9])/16 + (21*t[10])/2 - 
       (451*t[11])/32 + (35*t[12])/2 - (315*t[13])/16 + (1645*t[14])/96 - 
       (20*t[15])/9 + (5*t[29])/4 - 7*t[30] - t[31] - (3*t[32])/2 + 
       (3*t[33])/2 + (23*t[34])/2 - 3*t[36] - 4*t[38] - (5*t[39])/2 - 
       (7*t[40])/2 - t[43]/2 - (13*t[44])/2 - 14*t[45] + 10*t[47] - 
       (155*t[48])/32 + (35*t[49])/4 - (243*t[50])/32 - (59*t[51])/8 + 
       (499*t[52])/32 - (35*t[53])/4 + (67*t[54])/32 - (5*t[59])/4 + 
       (697*t[60])/16 - (1383*t[61])/16 - (2675*t[62])/32 + (131*t[63])/32 + 
       (4197*t[64])/32 - (187*t[65])/16 + (797*t[66])/48 + 3*t[69] - 
       12*t[70] + 12*t[71] - 3*t[72] - 6*t[74] - 18*t[75] + 23*t[76] + 
       2*t[77] - 47*t[78] + 21*t[80] + 5*t[81] - (7*t[82])/2 + (23*t[83])/2 - 
       (253*t[84])/16 + (655*t[85])/16 + 97*t[86] - (1049*t[87])/16 - 
       (1049*t[88])/32 - (37*t[89])/32 + 2*t[97] + 114*t[98] - 120*t[99] - 
       18*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((19*t[1])/9 + (29*t[2])/4 + (117*t[3])/16 - 
       (89*t[4])/6 - (25*t[5])/96 - (1195*t[6])/48 - (13*t[7])/2 - 
       (53*t[8])/24 + (193*t[9])/96 - t[10]/24 - (17*t[11])/3 + 
       (531*t[12])/32 - (1117*t[13])/432 - (1565*t[14])/288 - 
       (265*t[15])/576 + t[19] + t[21]/2 - t[23]/2 - t[28] + t[30] - 
       3*t[31] - 4*t[35] - 5*t[37] - (3*t[39])/2 + t[40] - t[41]/4 + 
       (5*t[42])/12 - (199*t[43])/48 - t[44]/2 + (5*t[45])/4 + t[46]/2 + 
       t[47]/2 + (3*t[48])/16 - (13*t[49])/2 + (71*t[50])/16 + (7*t[51])/8 - 
       (71*t[52])/16 + (13*t[53])/2 + (33*t[54])/16 - (25*t[59])/9 - 
       (86*t[60])/3 + (235*t[61])/72 + (55*t[62])/144 - (935*t[63])/48 - 
       (147*t[64])/8 + (2171*t[65])/108 - (953*t[66])/108 - t[67]/2 - 
       (13*t[69])/2 + 2*t[70] - 2*t[71] - t[72] - t[74] - 2*t[75] - 
       (5*t[77])/4 + (49*t[79])/24 + (157*t[80])/6 - (5*t[81])/2 - 
       (2*t[82])/3 + (269*t[83])/36 + (71*t[84])/72 - (917*t[85])/72 - 
       (571*t[86])/72 + (1487*t[87])/72 + (1487*t[88])/144 - (67*t[89])/8 + 
       4*t[99] - (211*t[100])/12) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1, 1}, 1 - u]*((-19*t[1])/36 + (3*t[2])/4 - (37*t[3])/12 + 
       (317*t[4])/36 - (671*t[5])/72 + (295*t[6])/36 - (67*t[7])/18 - 
       (253*t[8])/36 + 7*t[9] + (749*t[10])/72 - (13*t[11])/8 + 
       (55*t[12])/36 - (317*t[13])/144 + (2567*t[14])/432 - (13*t[15])/16 + 
       (5*t[18])/9 + (2*t[21])/9 + (2*t[22])/3 + (2*t[23])/9 + (2*t[24])/9 + 
       t[31] + t[34]/9 - t[37] - t[41]/18 + t[42]/18 - (11*t[43])/36 - 
       (11*t[45])/36 + (19*t[46])/18 + t[47]/6 - (41*t[48])/72 - 
       (125*t[49])/72 - (145*t[50])/72 + t[51]/144 + (185*t[52])/72 + 
       (125*t[53])/72 + (61*t[54])/24 - t[58]/9 - (11*t[59])/36 - 
       (25*t[60])/9 + (209*t[61])/18 + (901*t[62])/36 + (437*t[63])/36 - 
       (725*t[64])/72 - (115*t[65])/9 + (107*t[66])/36 - t[67]/6 - 
       (10*t[69])/3 + (20*t[70])/9 - (20*t[71])/9 + (20*t[74])/9 + t[76]/3 - 
       (2*t[78])/9 + (3*t[79])/2 - (184*t[80])/9 + (29*t[81])/18 - 
       (25*t[82])/18 - 3*t[83] + (7*t[84])/6 + (31*t[85])/12 - 
       (691*t[86])/18 + (139*t[87])/36 + (139*t[88])/72 + (355*t[89])/72 + 
       (8*t[98])/3 - (8*t[99])/3 - 17*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*(2*t[99] - 17*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      ((-5*t[60])/4 + (81*t[61])/4 + (5*t[62])/2 - (29*t[63])/2 - 
       (311*t[64])/8 + (5*t[65])/4 - (35*t[66])/4 - t[69] + t[72] + 2*t[74] - 
       t[75] - 3*t[79] + 9*t[80] + t[81]/2 + t[82]/2 - (3*t[83])/2 + 
       (3*t[84])/2 - (9*t[85])/4 - 3*t[86] - (3*t[87])/4 - (3*t[88])/8 - 
       (81*t[89])/8 + 2*t[99] - 17*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*(-4*t[1] - t[2]/2 - 
       (37*t[3])/2 - (9*t[4])/2 + t[5] + (41*t[6])/4 + 27*t[7] - 11*t[8] + 
       33*t[9] + (15*t[10])/4 - t[11]/4 + (71*t[12])/4 - (46*t[13])/3 + 
       (743*t[14])/24 + (293*t[15])/36 - 2*t[29] - 2*t[30] + 4*t[31] + 
       8*t[34] + 6*t[37] - 2*t[38] - 2*t[39] - t[40] + 2*t[43] + 2*t[44] - 
       7*t[45] + 5*t[47] - (17*t[48])/4 + (13*t[49])/4 + (39*t[50])/4 - 
       (25*t[51])/8 - (23*t[52])/4 - (13*t[53])/4 + (7*t[54])/4 + 
       (3*t[59])/2 - t[60] - (13*t[61])/2 - (259*t[62])/8 - (5*t[63])/8 + 
       11*t[64] + (299*t[65])/6 + (207*t[66])/4 - 2*t[67] + 6*t[69] - 
       6*t[72] + 12*t[74] - 3*t[75] + 7*t[76] + t[77] - 7*t[78] + 
       (39*t[79])/2 + 18*t[80] + (9*t[81])/2 - (21*t[82])/2 - 8*t[83] + 
       3*t[84] - (51*t[85])/4 + (9*t[86])/2 - (13*t[87])/4 - (13*t[88])/8 - 
       (11*t[89])/2 + t[97] + 48*t[98] - 42*t[99] - (33*t[100])/2) + 
     HPL[{0, 0, 1}, 1 - u]*Omega2[u, v, w]*((33*t[2])/4 - t[3]/4 + 
       (11*t[4])/2 - (45*t[5])/4 + 2*t[6] + (113*t[7])/8 + (143*t[8])/8 + 
       (239*t[9])/8 - (85*t[10])/8 + (147*t[11])/8 + (1939*t[13])/144 + 
       (59*t[14])/6 - (293*t[15])/48 - 2*t[19] + 2*t[21] - 2*t[23] + 
       3*t[28] - 2*t[30] + 2*t[31] - t[37] + 2*t[39] - t[41]/2 + t[42]/2 - 
       (7*t[43])/8 - 3*t[44] - (5*t[45])/4 - (3*t[46])/2 + (15*t[47])/2 - 
       (5*t[48])/8 + 4*t[49] - (21*t[50])/8 - (3*t[51])/8 + (21*t[52])/8 - 
       4*t[53] - (35*t[54])/8 - 2*t[59] + (15*t[60])/2 + 31*t[61] - 
       48*t[62] - 23*t[63] - (51*t[64])/2 + (101*t[65])/6 - (337*t[66])/6 - 
       4*t[69] - 2*t[75] - 8*t[79] + 10*t[80] + t[81] - 5*t[82] + 12*t[83] - 
       t[84] + (17*t[85])/2 + 41*t[86] - (5*t[87])/2 - (5*t[88])/4 + 
       (13*t[89])/4 + 8*t[99] - 16*t[100]) + HPL[{0, 0, 1}, 1 - v]*
      Omega2[u, v, w]*((15*t[2])/2 + (91*t[3])/8 + (27*t[4])/2 + 
       (35*t[5])/8 - (5*t[6])/2 - (21*t[7])/2 - (23*t[8])/2 - (53*t[9])/8 + 
       t[10]/2 + 12*t[11] - (33*t[12])/8 + (317*t[13])/36 - (205*t[14])/24 + 
       t[15]/9 - 2*t[20] + 2*t[22] + 2*t[28] + t[29]/2 + 3*t[30] - t[31] - 
       (3*t[32])/2 + t[33] - 2*t[34] - 2*t[35] - 3*t[36] - t[37] - t[41]/2 + 
       t[42]/2 - (3*t[43])/2 + (5*t[44])/4 + t[46]/2 - t[47] + t[48]/4 + 
       (17*t[49])/4 - (9*t[50])/4 - (7*t[51])/4 + (9*t[52])/4 - 
       (17*t[53])/4 - (23*t[54])/2 - t[59] - (47*t[60])/4 - 8*t[61] + 
       (63*t[62])/8 - (43*t[63])/8 - 29*t[64] - (53*t[65])/12 - 
       (181*t[66])/12 - 2*t[69] + 2*t[72] + t[74] - 3*t[75] + t[77] - 
       3*t[80] + t[81] - t[82] + 3*t[83] - 6*t[84] - (5*t[85])/2 - 6*t[86] + 
       t[87]/2 - (7*t[88])/4 - (53*t[89])/8 + 2*t[95] + 8*t[99] - 
       16*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      (2*t[1] - (37*t[2])/4 - t[3]/8 + 25*t[4] + (5*t[5])/2 + (69*t[6])/16 - 
       (85*t[7])/4 + (47*t[8])/4 - (189*t[9])/8 + (21*t[10])/4 + 
       (135*t[11])/16 - (49*t[12])/4 + (154*t[13])/9 - (239*t[14])/16 - 
       (31*t[15])/6 + 3*t[28] + t[30]/2 - t[31] - (3*t[32])/2 + (3*t[33])/2 - 
       7*t[34] - 2*t[35] - 2*t[36] - t[37] + 2*t[38] + (3*t[39])/2 + 
       (3*t[40])/2 + t[41]/2 - t[42]/2 - (3*t[43])/2 - 3*t[44] + 7*t[45] - 
       4*t[47] + (183*t[48])/16 - t[49] - (137*t[50])/16 + 2*t[51] + 
       (73*t[52])/16 + t[53] + (49*t[54])/16 - t[59] + (95*t[60])/8 + 
       (183*t[61])/8 + (413*t[62])/16 - (845*t[63])/16 + (143*t[64])/16 + 
       (99*t[65])/8 - (649*t[66])/24 - 2*t[69] + 4*t[72] + 2*t[74] + 
       7*t[75] - 9*t[76] + t[77] + 14*t[78] - 2*t[79] - 7*t[80] + 
       (3*t[81])/2 - (5*t[82])/2 - 24*t[83] + (71*t[84])/8 - (31*t[85])/8 - 
       28*t[86] + t[87]/8 + t[88]/16 + (313*t[89])/16 - t[97] - 48*t[98] + 
       48*t[99] - 16*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]^2*((83*t[1])/36 + (73*t[2])/9 - (7787*t[3])/576 + 
       (929*t[4])/48 + (1823*t[5])/288 + (18487*t[6])/1152 - (107*t[7])/24 + 
       (833*t[8])/18 + (393*t[9])/64 + (227*t[10])/96 + (23569*t[11])/1152 + 
       (431*t[12])/144 + (33931*t[13])/1728 + (108407*t[14])/3456 + 
       (32155*t[15])/2592 + 3*t[28] + (61*t[29])/144 - (71*t[30])/36 - 
       (31*t[31])/18 + t[32]/24 + (5*t[33])/24 + (43*t[34])/72 - 8*t[35] - 
       (29*t[36])/12 - (19*t[37])/6 + (4*t[38])/9 + (331*t[39])/144 - 
       (307*t[40])/144 - (67*t[43])/36 - (361*t[44])/36 - (35*t[45])/18 + 
       (25*t[47])/18 + (8177*t[48])/1152 + (2039*t[49])/288 - 
       (3901*t[50])/384 - (1991*t[51])/576 + (10679*t[52])/1152 - 
       (887*t[53])/288 + (4103*t[54])/1152 + (41*t[59])/144 + 
       (9049*t[60])/576 + (3619*t[61])/192 - (7327*t[62])/1152 - 
       (10147*t[63])/384 - (48767*t[64])/1152 - (3257*t[65])/1728 - 
       (14809*t[66])/576 - t[67]/8 - (2*t[69])/3 + (2*t[72])/3 + 
       (11*t[74])/3 - (8*t[75])/3 + (70*t[76])/9 + (59*t[77])/18 - 
       (89*t[78])/18 - (11*t[79])/12 + (43*t[80])/12 - (77*t[81])/72 + 
       (13*t[82])/36 + 3*t[83] - (865*t[84])/576 + (1519*t[85])/576 - 
       (82*t[86])/9 - (2347*t[87])/192 - (1963*t[88])/384 + 
       (3379*t[89])/1152 + 3*t[96] + (41*t[97])/18 + (239*t[98])/6 - 
       (233*t[99])/6 - (383*t[100])/24) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((-97*t[1])/36 - 
       (881*t[2])/72 - (10123*t[3])/288 + (6985*t[4])/144 + (2605*t[5])/192 - 
       12*t[6] - (5059*t[7])/288 - (9089*t[8])/288 - (37343*t[9])/576 + 
       (2987*t[10])/96 - (4793*t[11])/288 - (30895*t[12])/576 - 
       (3319*t[13])/324 + (1559*t[14])/192 + (45719*t[15])/1152 + 
       (2*t[17])/3 - 4*t[18] - 2*t[19] + t[20] - 2*t[21] + (7*t[22])/12 + 
       (20*t[23])/3 - (16*t[24])/3 + 4*t[25] - 4*t[26] - (11*t[27])/9 - 
       (14*t[28])/9 + (85*t[29])/18 + (335*t[30])/18 - (8*t[31])/3 + 
       (38*t[32])/9 - (56*t[33])/9 - (203*t[34])/18 - (22*t[35])/3 + 
       2*t[36] + (23*t[37])/3 + (22*t[38])/9 - (47*t[39])/9 + (142*t[40])/9 - 
       (271*t[41])/72 + (55*t[42])/72 + (2017*t[43])/144 + (34*t[44])/9 + 
       (1553*t[45])/72 - (15*t[46])/4 - (407*t[47])/12 + (929*t[48])/72 - 
       (1849*t[49])/144 + (331*t[50])/24 + (1249*t[51])/96 - (197*t[52])/8 + 
       (1849*t[53])/144 + (115*t[54])/6 - t[58] + (119*t[59])/24 + 
       (503*t[60])/72 + (9571*t[61])/72 + (7135*t[62])/144 + 
       (13171*t[63])/144 - (3373*t[64])/48 - (29077*t[65])/432 + 
       (52669*t[66])/432 - 2*t[67] + (7*t[68])/3 - (7*t[69])/3 + 8*t[70] - 
       8*t[71] + 14*t[72] - (49*t[73])/3 - (2*t[74])/3 + (139*t[75])/3 - 
       (841*t[76])/18 + (73*t[77])/12 + (803*t[78])/9 - 28*t[79] - 
       (917*t[80])/18 - (38*t[81])/3 + (21*t[82])/4 - (37*t[83])/2 + 
       (445*t[84])/24 - (3311*t[85])/72 - (719*t[86])/6 + (2737*t[87])/72 + 
       (2737*t[88])/144 - (545*t[89])/48 - t[90]/3 - t[92] + 2*t[93] + 
       2*t[94] - (61*t[97])/18 - (803*t[98])/3 + (959*t[99])/3 - 
       (95*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((5*t[1])/3 - 19*t[2] - (55*t[3])/24 - 
       (31*t[4])/2 + (33*t[5])/2 + (161*t[6])/48 - (319*t[7])/6 + 
       (230*t[8])/3 - (1259*t[9])/24 - (73*t[10])/4 - (1105*t[11])/48 - 
       (137*t[12])/12 - (47*t[13])/8 - (2971*t[14])/144 + (211*t[15])/12 - 
       2*t[28] + (73*t[29])/6 - (11*t[30])/3 + t[31]/3 + (25*t[32])/6 - 
       (8*t[33])/3 - (37*t[34])/3 - 4*t[35] + 4*t[36] - 2*t[37] + 
       (4*t[38])/3 - t[39]/6 + (2*t[40])/3 + (2*t[43])/3 - (67*t[44])/3 + 
       (14*t[45])/3 - 2*t[46] - (10*t[47])/3 + (1711*t[48])/48 - 
       (119*t[49])/12 - (721*t[50])/48 + (107*t[51])/24 + (593*t[52])/48 + 
       (119*t[53])/12 + (457*t[54])/48 + (29*t[59])/6 - (135*t[60])/8 - 
       (159*t[61])/8 + (2867*t[62])/48 - (257*t[63])/16 + (1331*t[64])/48 + 
       (1657*t[65])/72 + (3419*t[66])/72 - 2*t[69] + 3*t[72] - 12*t[73] + 
       (4*t[74])/3 - (17*t[76])/3 - (8*t[77])/3 + 10*t[78] + 5*t[79] + 
       4*t[80] - 13*t[81] + 11*t[82] + 18*t[83] - (55*t[84])/24 - 
       (167*t[85])/24 - (25*t[86])/3 + (5*t[87])/24 + (61*t[88])/48 + 
       (689*t[89])/48 - (4*t[95])/3 - (2*t[97])/3 - 20*t[98] + 24*t[99] - 
       (47*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(-t[1]/6 - (11*t[2])/4 - (487*t[3])/64 + 
       (289*t[4])/12 - (237*t[5])/32 - (3439*t[6])/384 + (125*t[7])/16 - 
       (38*t[8])/3 - (25*t[9])/192 - (7*t[10])/4 + (13207*t[11])/384 - 
       (199*t[12])/32 + (24715*t[13])/1728 + (277*t[14])/384 - 
       (299*t[15])/54 + t[22] - 3*t[28] + (73*t[29])/6 - (41*t[30])/16 + 
       (7*t[31])/3 + (209*t[32])/48 - (221*t[33])/48 - (83*t[34])/24 + 
       2*t[35] - t[36] + (11*t[37])/6 + t[38]/2 - (7*t[39])/24 + 
       (13*t[40])/24 + t[41]/2 - t[42]/2 + t[43]/6 + (191*t[44])/24 + 
       (7*t[45])/4 - t[46]/2 - t[47]/4 + (2695*t[48])/384 + (37*t[49])/24 + 
       (949*t[50])/128 - (37*t[51])/48 - (1077*t[52])/128 - (37*t[53])/24 - 
       (2069*t[54])/128 - (23*t[59])/48 + (1049*t[60])/64 + 
       (9791*t[61])/192 + (269*t[62])/128 + (9193*t[63])/384 - 
       (4477*t[64])/384 - (3139*t[65])/576 - (10219*t[66])/192 + 
       (5*t[69])/6 - (8*t[72])/3 - 3*t[73] + (9*t[74])/4 + (31*t[75])/3 - 
       (65*t[76])/12 + (7*t[77])/4 + (61*t[78])/3 - (41*t[79])/4 - 5*t[80] + 
       (7*t[81])/8 - (19*t[82])/3 - (61*t[83])/12 + (301*t[84])/192 - 
       (41*t[85])/64 - (103*t[86])/4 - (2807*t[87])/192 - (1245*t[88])/128 - 
       (1295*t[89])/384 + (4*t[95])/3 - t[97]/4 - 12*t[98] + 14*t[99] - 
       (91*t[100])/6) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*
      (t[1]/3 - (173*t[2])/12 + (91*t[3])/12 + (61*t[4])/2 - (653*t[5])/24 + 
       (163*t[6])/12 - (17*t[7])/3 - (57*t[8])/4 + (261*t[9])/8 - 
       (103*t[10])/12 + (77*t[11])/4 + (1117*t[12])/24 - (2533*t[13])/108 - 
       (1859*t[14])/72 - (647*t[15])/48 - (5*t[17])/2 + 5*t[18] + t[21]/3 - 
       (2*t[23])/3 + (31*t[24])/3 + (16*t[34])/3 - t[41]/6 - t[42]/2 - 
       (355*t[43])/12 - (65*t[45])/6 + 5*t[46] + 21*t[47] - 3*t[48] - 
       (10*t[49])/3 - (7*t[50])/6 - (17*t[51])/12 - (25*t[52])/6 + 
       (10*t[53])/3 + t[54] + 11*t[59] + (103*t[60])/4 - (277*t[61])/4 + 
       (385*t[62])/8 - (691*t[63])/24 - (9*t[64])/8 + (1681*t[65])/36 + 
       (3563*t[66])/36 + 4*t[67] + 9*t[69] - (29*t[70])/3 + (29*t[71])/3 + 
       20*t[74] + (32*t[76])/3 + 4*t[77] - (16*t[78])/3 + 36*t[79] + 
       (56*t[80])/3 + (19*t[81])/3 - t[82] - 19*t[83] - (31*t[84])/12 + 
       (53*t[85])/12 - (110*t[86])/3 - (391*t[87])/12 - (391*t[88])/24 + 
       (5*t[89])/8 - 3*t[94] + 64*t[98] - 64*t[99] - 15*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*
      ((47*t[2])/6 - (19*t[3])/4 + (149*t[4])/12 - (37*t[5])/6 - 7*t[6] + 
       (22*t[7])/3 - (251*t[8])/6 + (155*t[9])/6 + (69*t[10])/8 + 
       (37*t[11])/4 - (17*t[12])/24 + (127*t[13])/12 + (2173*t[14])/144 - 
       (989*t[15])/54 - 5*t[20] - 6*t[28] - 2*t[29] - (50*t[30])/3 - 
       (16*t[32])/3 - (38*t[33])/3 + 3*t[34] + 6*t[35] - (13*t[44])/2 - 
       (16*t[45])/3 + (16*t[47])/3 + (17*t[48])/3 + (31*t[49])/8 - 
       (25*t[50])/3 - (31*t[51])/16 + (25*t[52])/3 - (31*t[53])/8 - 
       (13*t[54])/4 + 2*t[59] + (25*t[60])/2 - (239*t[61])/12 + 
       (55*t[62])/6 - (233*t[63])/4 + (959*t[64])/24 - (19*t[65])/3 - 
       (223*t[66])/6 + t[67]/2 + 3*t[69] - (10*t[70])/3 + (10*t[71])/3 + 
       7*t[74] + 36*t[75] + (32*t[76])/3 - (40*t[78])/3 + 8*t[79] + 
       (16*t[80])/3 + (5*t[81])/3 + t[82] - (73*t[83])/2 + t[84]/3 + 
       (29*t[85])/2 + 14*t[86] - (59*t[87])/6 - (49*t[88])/4 + 
       (113*t[89])/24 - 4*t[95] + (16*t[96])/3 + 64*t[98] - 64*t[99] - 
       15*t[100]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (-t[1]/2 + (17*t[2])/16 - (47*t[3])/64 - (51*t[4])/32 - 
       (769*t[5])/128 + (41*t[6])/32 + (565*t[7])/64 - (89*t[8])/64 + 
       (1785*t[9])/128 - (211*t[10])/64 + (321*t[11])/64 + (529*t[12])/128 + 
       (565*t[13])/288 + (965*t[14])/128 - (1009*t[15])/256 - (3*t[22])/8 - 
       t[27]/2 + t[29]/2 - (3*t[30])/4 + t[31] + t[32]/2 - t[33]/2 + 
       2*t[34] + 2*t[35] - t[37]/2 - t[38]/2 + t[39]/2 - (5*t[40])/4 - 
       t[41]/16 + t[42]/16 - (19*t[43])/32 - t[45]/16 - (3*t[46])/8 + 
       (11*t[47])/8 - (9*t[48])/32 + (33*t[49])/32 - t[50]/32 - 
       (39*t[51])/64 + (49*t[52])/32 - (33*t[53])/32 + (23*t[54])/32 - 
       (7*t[59])/16 + (39*t[60])/8 + (125*t[61])/8 - 18*t[62] + 
       (87*t[63])/16 + (9*t[64])/16 + (365*t[65])/96 - (1613*t[66])/96 - 
       t[69]/2 + t[73]/2 - t[74] - t[75]/2 + (7*t[76])/4 + (3*t[77])/8 - 
       t[78] + t[80]/2 + (3*t[81])/2 - (3*t[82])/2 - t[83]/4 - t[84]/4 + 
       (33*t[85])/8 + 6*t[86] - (47*t[87])/8 - (47*t[88])/16 - 
       (11*t[89])/16 + t[97]/4 + (27*t[98])/2 - (85*t[99])/6 - 
       (44*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((7*t[3])/6 - (29*t[4])/6 + (31*t[5])/4 - t[6]/6 + (13*t[7])/4 + 
       (5*t[8])/12 - (31*t[9])/6 - (143*t[10])/12 + (11*t[11])/2 - 
       (11*t[12])/4 + (199*t[13])/108 - (37*t[14])/36 + (17*t[15])/9 + 
       (13*t[43])/4 - t[45]/2 + t[47] - (10*t[60])/3 + t[61] - (20*t[62])/3 + 
       (4*t[63])/3 + 26*t[64] - (37*t[65])/9 - 11*t[66] + t[77]/3 + 
       (32*t[80])/3 + t[82]/3 + (52*t[86])/3 - (7*t[89])/3 - (29*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*((8*t[1])/3 - 2*t[3] - 
       2*t[4] - 2*t[5] - (15*t[6])/4 + (37*t[7])/3 - (50*t[8])/3 + 
       (22*t[9])/3 - 2*t[10] + (43*t[11])/12 - t[12]/6 - (5*t[13])/2 - 
       (7*t[14])/4 + (55*t[15])/36 - (25*t[29])/12 - (2*t[30])/3 + t[39]/6 - 
       t[40]/6 + (19*t[44])/3 - (41*t[48])/12 - 2*t[49] + (73*t[50])/12 + 
       t[51] - (73*t[52])/12 + (5*t[53])/3 - (43*t[54])/12 + (191*t[60])/12 + 
       t[61]/6 - (887*t[62])/16 - (1075*t[63])/48 + (225*t[64])/8 + 
       (1901*t[65])/72 - (833*t[66])/72 + 3*t[69] - 7*t[70] + 7*t[71] + 
       (13*t[76])/3 - 5*t[78] + t[79]/2 + 13*t[80] + (25*t[81])/6 - 
       (23*t[82])/6 + (7*t[83])/3 + (35*t[84])/12 + (35*t[85])/6 + 
       (145*t[86])/3 - 11*t[87] - (11*t[88])/2 + (281*t[89])/24 - 
       (29*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((95*t[2])/12 + (611*t[3])/48 - (5*t[4])/2 + 
       (199*t[5])/24 - (265*t[6])/96 - (35*t[7])/8 - (69*t[8])/4 + 
       (77*t[9])/16 - 8*t[10] + (385*t[11])/96 + (39*t[12])/8 + 
       (757*t[13])/144 - (361*t[14])/96 - (2047*t[15])/432 - t[20]/2 + 
       t[22]/2 + 2*t[28] + (41*t[29])/8 - (49*t[30])/12 + t[31]/2 - 
       (5*t[32])/6 + (7*t[33])/12 - 2*t[35] + t[36] - t[37] + t[39]/12 - 
       (4*t[40])/3 - t[41]/2 + t[42]/2 + (19*t[44])/8 - t[46]/2 - t[47] - 
       (91*t[48])/96 - 3*t[49] - (53*t[50])/32 + (9*t[51])/8 + 
       (53*t[52])/32 + (8*t[53])/3 - (217*t[54])/96 - t[59]/6 + 
       (1405*t[60])/48 - (145*t[61])/16 + (571*t[62])/96 - (825*t[63])/32 - 
       (921*t[64])/32 - (557*t[65])/48 - (1175*t[66])/48 - t[69]/2 - 
       t[72]/2 + 6*t[73] + 3*t[75] - t[76]/6 + (13*t[78])/3 + t[80] + 
       t[81]/2 + 3*t[82] - (61*t[83])/4 + (109*t[84])/48 + (27*t[85])/16 - 
       3*t[86] - (793*t[87])/48 - (665*t[88])/96 - (781*t[89])/96 + 4*t[99] - 
       (173*t[100])/12) + HPL[{0, 1}, 1 - v]*Ot[u, v, w]*
      ((-2*t[1])/3 + (7*t[2])/6 + (167*t[3])/48 - 11*t[4] + (23*t[5])/3 + 
       (251*t[6])/96 - 5*t[7] + (35*t[8])/12 + (17*t[9])/16 + (9*t[10])/4 - 
       (619*t[11])/96 + (29*t[12])/6 - (93*t[13])/16 + (841*t[14])/288 - 
       (457*t[15])/216 + (5*t[29])/12 - (4*t[30])/3 - (4*t[31])/3 - t[32]/2 + 
       t[33]/2 + (23*t[34])/6 - t[36] - (4*t[38])/3 - (5*t[39])/6 - 
       (7*t[40])/6 - (2*t[43])/3 - (19*t[44])/6 - (14*t[45])/3 + 
       (10*t[47])/3 - (83*t[48])/96 + (19*t[49])/6 - (153*t[50])/32 - 
       (31*t[51])/12 + (715*t[52])/96 - (19*t[53])/6 + (43*t[54])/96 - 
       (5*t[59])/12 - (91*t[60])/48 - (401*t[61])/16 - (1763*t[62])/96 + 
       t[63]/32 + (2009*t[64])/96 - (1417*t[65])/144 + (13*t[66])/16 - 
       t[74] - 6*t[75] + (23*t[76])/3 + (2*t[77])/3 - (44*t[78])/3 + 
       8*t[79] + 2*t[80] + t[81]/3 + (7*t[82])/6 + 8*t[83] - (281*t[84])/48 + 
       (155*t[85])/48 + (70*t[86])/3 - (127*t[87])/16 - (127*t[88])/32 - 
       (913*t[89])/96 + (2*t[97])/3 + 38*t[98] - 38*t[99] - 14*t[100]) + 
     HPL[{0, 1}, 1 - u]*Ot[u, v, w]*((-2*t[1])/3 + (7*t[2])/3 - 
       (49*t[3])/48 - (53*t[4])/24 - (405*t[5])/32 + (21*t[6])/8 + 
       (485*t[7])/48 - (341*t[8])/48 + (2719*t[9])/96 - (155*t[10])/16 - 
       (287*t[11])/48 + (539*t[12])/96 - (3629*t[13])/432 + (1469*t[14])/96 - 
       (1507*t[15])/192 - t[22]/2 - (4*t[27])/3 + (8*t[28])/3 + (4*t[29])/3 - 
       (7*t[30])/3 + (4*t[32])/3 - (4*t[33])/3 + (16*t[34])/3 + 2*t[35] - 
       (4*t[38])/3 + (8*t[39])/3 - (10*t[40])/3 - t[41]/12 + t[42]/12 - 
       (5*t[43])/6 - (4*t[44])/3 - (25*t[45])/12 - t[46]/2 - t[47]/2 + 
       (8*t[48])/3 + (11*t[49])/6 - (15*t[51])/8 + 4*t[52] - (11*t[53])/6 + 
       4*t[54] + t[59]/4 + (23*t[60])/3 + (95*t[61])/6 - (263*t[62])/24 + 
       (439*t[63])/24 - (113*t[64])/8 - (157*t[65])/72 - (419*t[66])/72 + 
       (14*t[76])/3 + (3*t[77])/2 - (8*t[78])/3 + (5*t[80])/6 + 2*t[81] - 
       (9*t[82])/4 - t[84] + (13*t[85])/3 - (3*t[86])/2 - (29*t[87])/3 - 
       (29*t[88])/6 - (9*t[89])/2 + (2*t[97])/3 + 38*t[98] - 38*t[99] - 
       14*t[100]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((9*t[1])/8 + (25*t[2])/4 - (19*t[3])/16 + 
       (175*t[4])/8 - (281*t[5])/32 + (125*t[6])/16 - (63*t[7])/8 + 
       (139*t[8])/8 + (431*t[9])/32 - (323*t[10])/16 + (179*t[11])/8 + 
       (3*t[12])/32 + (235*t[13])/16 - (45*t[14])/16 - (1573*t[15])/192 - 
       (9*t[18])/4 + t[19]/2 - (3*t[23])/2 - 5*t[31] - (9*t[35])/2 - t[37] + 
       t[41]/8 + (3*t[42])/8 - (9*t[43])/16 - (7*t[44])/2 - (111*t[45])/8 - 
       (7*t[46])/2 + (83*t[47])/4 + (9*t[48])/16 + (19*t[49])/16 + 
       (37*t[50])/16 + (9*t[51])/32 - (37*t[52])/16 - (19*t[53])/16 - 
       (75*t[54])/16 - 2*t[59] - (5*t[60])/4 + (229*t[61])/8 - 
       (129*t[62])/8 - 13*t[63] + (29*t[64])/8 + (197*t[65])/24 - 
       (221*t[66])/8 - t[67]/4 - 2*t[69] + (3*t[70])/2 - (3*t[71])/2 + 
       3*t[74] - t[75] + (3*t[77])/2 - t[79] + (43*t[80])/2 - 2*t[82] + 
       (15*t[83])/4 + t[84]/4 - (3*t[85])/4 + (15*t[86])/2 + (11*t[87])/4 + 
       (11*t[88])/8 + 4*t[99] - 14*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((79*t[2])/8 - (213*t[3])/16 + 
       (147*t[4])/8 + (109*t[5])/16 + (329*t[6])/32 - (39*t[7])/2 + 
       (33*t[8])/8 - (47*t[9])/8 + (79*t[10])/16 + (339*t[11])/32 - 5*t[12] + 
       (1153*t[13])/72 + (27*t[14])/2 + (331*t[15])/32 - t[20]/2 + t[22]/2 + 
       5*t[28] + t[29] - (9*t[30])/8 - (55*t[32])/8 + (55*t[33])/8 - 
       (3*t[34])/4 - 7*t[35] - (7*t[36])/2 - t[37] - t[41]/2 + t[42]/2 - 
       (7*t[43])/4 - (23*t[44])/4 - t[47] + (183*t[48])/32 + (39*t[49])/16 - 
       (141*t[50])/32 - (39*t[51])/32 + (141*t[52])/32 - (39*t[53])/16 + 
       t[54]/32 + (5*t[59])/8 + (125*t[60])/16 + (361*t[61])/16 + 
       (1043*t[62])/32 - (311*t[63])/32 - (1681*t[64])/32 + (143*t[65])/48 - 
       (457*t[66])/16 - t[67]/4 - 2*t[69] + (3*t[70])/2 - (3*t[71])/2 + 
       (13*t[74])/2 + t[75] + (7*t[77])/2 + (7*t[78])/2 + (5*t[79])/2 - 
       6*t[80] + (5*t[81])/4 - (11*t[82])/4 - (41*t[83])/4 + (43*t[84])/16 + 
       (9*t[85])/16 - 49*t[86] - (173*t[87])/16 - (249*t[88])/32 + 
       (175*t[89])/32 + 4*t[99] - 14*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-9*t[1])/4 + (45*t[2])/2 - (45*t[3])/8 + (111*t[4])/8 - 
       (609*t[5])/16 - (139*t[6])/16 + (289*t[7])/8 + (375*t[8])/8 + 
       (873*t[9])/16 - (713*t[10])/16 + (837*t[11])/16 + 11*t[12] + 
       (289*t[13])/9 + (881*t[14])/96 - (403*t[15])/32 + 2*t[17] + 3*t[18] - 
       t[19] + 6*t[21] - 6*t[23] + t[24]/2 + 4*t[31] - 2*t[37] + 
       (11*t[41])/4 - (7*t[42])/4 - 4*t[43] - (3*t[45])/4 + (5*t[46])/4 + 
       13*t[47] - (75*t[48])/16 + (71*t[49])/16 + (5*t[50])/16 - 
       (53*t[51])/32 - (5*t[52])/16 - (71*t[53])/16 - (75*t[54])/16 - 
       5*t[59] + (37*t[60])/8 + (439*t[61])/8 - (1623*t[62])/16 - 
       (857*t[63])/16 + (125*t[64])/16 + (491*t[65])/12 - (392*t[66])/3 + 
       t[67]/4 - 11*t[69] + (13*t[74])/2 - 4*t[75] - 12*t[79] + 29*t[80] + 
       t[81]/4 - (33*t[82])/4 + 24*t[83] + t[84]/4 + (89*t[85])/8 + 
       (241*t[86])/2 + (3*t[87])/8 + (3*t[88])/16 + (49*t[89])/16 - 
       (3*t[94])/2 + 16*t[99] - 14*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((35*t[2])/4 + (289*t[3])/8 + (45*t[4])/4 + (51*t[5])/4 + 
       (19*t[6])/16 - 5*t[7] - (13*t[8])/4 - (13*t[9])/8 - (57*t[10])/8 + 
       (345*t[11])/16 - (21*t[12])/8 + (521*t[13])/36 - (77*t[14])/8 + 
       9*t[15] + t[18] - t[20] + 3*t[22] + 6*t[28] + t[29] + (7*t[30])/2 - 
       (21*t[32])/4 + (11*t[33])/2 - (13*t[34])/2 - 10*t[35] - 2*t[37] - 
       t[41] + t[42] + (7*t[44])/2 - 2*t[47] + (45*t[48])/16 + (9*t[49])/8 + 
       (17*t[50])/16 - (9*t[51])/16 - (17*t[52])/16 - (9*t[53])/8 - 
       (161*t[54])/16 - (7*t[59])/4 - (147*t[60])/4 + (181*t[61])/8 + 
       (201*t[62])/8 + (193*t[63])/8 - (619*t[64])/16 + (187*t[65])/8 - 
       (43*t[66])/8 - (5*t[67])/4 - 9*t[69] + (5*t[74])/2 - 2*t[75] + 
       2*t[80] - (9*t[81])/4 + (9*t[82])/4 - 11*t[83] - (59*t[84])/8 - 
       (37*t[85])/4 - 20*t[86] + (21*t[87])/2 - (13*t[88])/4 - 
       (183*t[89])/16 + 2*t[95] + 16*t[99] - 14*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-31*t[1])/24 + 4*t[2] - (455*t[3])/64 + (23*t[4])/32 - 
       (7471*t[5])/384 + (841*t[6])/96 + (5279*t[7])/192 + (2957*t[8])/192 + 
       (5729*t[9])/128 - (1531*t[10])/192 + (6707*t[11])/192 + 
       (6019*t[12])/384 + (1171*t[13])/54 + (7577*t[14])/384 - 
       (16109*t[15])/2304 - t[18]/6 - t[19]/2 + t[21]/2 + (29*t[22])/24 - 
       t[23]/2 + t[25]/2 + t[26]/4 - (2*t[27])/3 + t[28] + (2*t[29])/3 - 
       t[30]/12 + (17*t[31])/6 + (7*t[32])/6 - (7*t[33])/6 + (29*t[34])/12 + 
       (25*t[35])/6 - (13*t[37])/6 - (7*t[38])/6 + (5*t[39])/3 - 
       (8*t[40])/3 - (17*t[41])/48 + (17*t[42])/48 - (275*t[43])/96 - 
       (3*t[44])/2 - (145*t[45])/48 - (19*t[46])/12 + (425*t[47])/24 - 
       (137*t[48])/32 + (71*t[49])/48 + (71*t[50])/32 - (89*t[51])/96 + 
       (33*t[52])/32 - (71*t[53])/48 - (99*t[54])/32 + t[58]/4 - 
       (77*t[59])/48 + (805*t[60])/48 + (2747*t[61])/48 - (7069*t[62])/96 - 
       (767*t[63])/96 + (333*t[64])/32 + (6203*t[65])/288 - 
       (20303*t[66])/288 - (8*t[69])/3 + (7*t[73])/12 - (13*t[74])/3 - 
       (13*t[75])/12 + (7*t[76])/12 - (19*t[77])/24 - t[78]/3 - t[79] + 
       (41*t[80])/6 + (71*t[81])/24 - 4*t[82] + (13*t[83])/4 + t[84]/4 + 
       (463*t[85])/48 + (437*t[86])/12 - (479*t[87])/48 - (479*t[88])/96 + 
       (437*t[89])/96 + t[97]/12 + 4*t[98] - 2*t[99] - (55*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      ((-5*t[1])/12 + (467*t[2])/48 + (223*t[3])/192 + (779*t[4])/96 + 
       (625*t[5])/384 - (775*t[6])/96 - (3793*t[7])/192 - (1417*t[8])/64 + 
       (671*t[9])/384 - (905*t[10])/192 - (195*t[11])/64 - (715*t[12])/128 + 
       (133*t[13])/36 + (683*t[14])/384 + (1715*t[15])/256 - (2*t[18])/3 + 
       (7*t[22])/24 - 2*t[25] - t[26] - t[27]/2 + (7*t[28])/3 + t[29]/2 - 
       t[30]/12 - (13*t[31])/3 - t[32]/2 + (3*t[33])/2 + 3*t[34] - 
       (11*t[35])/3 - (4*t[37])/3 + (3*t[38])/2 - (5*t[39])/6 + 
       (11*t[40])/4 - (13*t[41])/16 + (13*t[42])/16 - (179*t[43])/96 - 
       (8*t[44])/3 - (289*t[45])/48 - (43*t[46])/24 + (103*t[47])/24 - 
       (739*t[48])/96 + (113*t[49])/32 + (79*t[50])/32 - (185*t[51])/192 - 
       (191*t[52])/32 - (113*t[53])/32 - (225*t[54])/32 - t[58] - t[59]/48 + 
       (19*t[60])/8 - (13*t[61])/8 + (77*t[62])/4 + (1361*t[63])/48 - 
       (961*t[64])/16 - (2269*t[65])/288 + (5629*t[66])/288 + (2*t[69])/3 - 
       (5*t[73])/6 + (4*t[74])/3 - (7*t[75])/6 + (35*t[76])/4 + 
       (37*t[77])/24 - 5*t[78] - 3*t[79] + (59*t[80])/6 + (19*t[81])/6 - 
       (3*t[82])/2 + (29*t[83])/2 - (11*t[84])/4 + (119*t[85])/24 - 
       (67*t[86])/6 - (229*t[87])/24 - (229*t[88])/48 - (1021*t[89])/48 + 
       (5*t[97])/4 + (75*t[98])/2 - (73*t[99])/2 - (109*t[100])/8) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((41*t[60])/48 + (97*t[61])/48 - (83*t[62])/32 - (1691*t[63])/96 - 
       (139*t[64])/32 + (25*t[65])/18 - (329*t[66])/24 - t[69]/6 + t[72]/2 + 
       (67*t[73])/12 + (5*t[74])/4 - (19*t[75])/6 - (4*t[78])/3 + t[79]/12 + 
       (37*t[81])/24 - (53*t[82])/24 + (5*t[83])/2 - (5*t[84])/6 + 
       (119*t[85])/48 + t[86]/2 - (79*t[87])/48 - (79*t[88])/96 - 
       (151*t[89])/96 + (19*t[98])/3 - 4*t[99] - (27*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (-t[59]/12 - (103*t[60])/72 + (29*t[61])/3 + (395*t[62])/96 - 
       (1085*t[63])/288 - (223*t[64])/144 - (2453*t[65])/432 - 
       (2749*t[66])/432 - (7*t[69])/6 + (11*t[72])/18 + (17*t[73])/12 - 
       (3*t[74])/2 - (31*t[75])/6 + (5*t[76])/6 + t[77]/6 - 4*t[78] + 
       (5*t[79])/12 - 2*t[80] - (26*t[81])/9 - (13*t[82])/18 + 
       (97*t[83])/36 + (37*t[84])/72 + (433*t[85])/72 - (97*t[86])/12 + 
       (359*t[87])/72 + (455*t[88])/144 + (113*t[89])/144 - t[96]/2 - 
       t[97]/3 + (19*t[98])/3 - 4*t[99] - 13*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((2*t[1])/3 - (8*t[2])/3 - (71*t[3])/12 + (69*t[4])/4 - (50*t[5])/3 - 
       (65*t[6])/24 - (14*t[8])/3 - t[9]/2 + (15*t[10])/8 + (157*t[11])/24 - 
       (185*t[12])/24 + (725*t[13])/72 - (641*t[14])/144 + (53*t[15])/108 + 
       t[28] - (13*t[29])/6 + (17*t[30])/6 + t[31]/3 - t[32]/2 + t[33]/2 - 
       (10*t[34])/3 + t[35] - t[36] + (4*t[38])/3 + (5*t[39])/6 + 
       (7*t[40])/6 - (5*t[43])/6 + (11*t[44])/3 + (14*t[45])/3 + t[46]/2 - 
       (10*t[47])/3 + (53*t[48])/24 - (25*t[49])/24 + (19*t[50])/8 + 
       (91*t[51])/48 - (121*t[52])/24 + (25*t[53])/24 - (55*t[54])/24 + 
       (2*t[59])/3 - (17*t[60])/12 + (93*t[61])/4 + (169*t[62])/12 - 
       (87*t[63])/4 - (563*t[64])/24 + (349*t[65])/36 - (197*t[66])/12 + 
       2*t[72] + 3*t[74] + 8*t[75] - (26*t[76])/3 + t[77]/3 + (56*t[78])/3 - 
       12*t[79] - 4*t[80] + (7*t[81])/6 - (7*t[82])/6 - 4*t[83] + 
       (17*t[84])/3 - (35*t[85])/12 - (58*t[86])/3 + (51*t[87])/4 + 
       (51*t[88])/8 + (283*t[89])/24 - (2*t[97])/3 - 44*t[98] + 50*t[99] - 
       13*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((2*t[1])/3 - (11*t[2])/6 + (11*t[3])/6 + 
       (49*t[4])/12 + (131*t[5])/8 + (15*t[6])/4 - (125*t[7])/12 + 
       (185*t[8])/12 - (445*t[9])/24 + (69*t[10])/8 + (83*t[11])/12 - 
       (67*t[12])/12 + (287*t[13])/27 - (257*t[14])/16 + (155*t[15])/48 + 
       t[22] + (4*t[27])/3 + t[28]/3 - (4*t[29])/3 + (4*t[30])/3 - t[31] - 
       (4*t[32])/3 + (4*t[33])/3 - (16*t[34])/3 - 4*t[35] + (4*t[38])/3 - 
       (2*t[39])/3 + (10*t[40])/3 + t[41]/3 - t[42]/3 + (5*t[43])/6 - 
       (5*t[44])/3 - (5*t[45])/3 - t[46]/2 + 9*t[47] - (2*t[48])/3 - 
       (17*t[49])/24 - 2*t[50] + (29*t[51])/16 - 2*t[52] + (17*t[53])/24 - 
       (15*t[54])/4 + 2*t[59] - (113*t[60])/12 - (607*t[61])/12 + 
       (353*t[62])/12 - (89*t[63])/2 + (191*t[64])/24 - (25*t[65])/3 + 
       (227*t[66])/6 + (3*t[67])/2 + 4*t[69] + 6*t[74] - 2*t[75] - 
       (14*t[76])/3 - 2*t[77] + (5*t[78])/3 + (13*t[79])/2 + (44*t[80])/3 - 
       4*t[81] + t[82] + (26*t[83])/3 - (11*t[84])/6 - (15*t[85])/2 + 
       (55*t[86])/3 + (31*t[87])/2 + (31*t[88])/4 + (125*t[89])/24 - 
       t[94]/2 - (2*t[97])/3 - 44*t[98] + 50*t[99] - 13*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      (t[1]/3 - (7*t[2])/6 + (8*t[3])/3 + (5*t[4])/3 + (15*t[5])/4 - 
       (15*t[6])/4 - (35*t[7])/6 - t[8]/6 - (169*t[9])/12 + 2*t[10] + 
       (7*t[11])/12 - (35*t[12])/12 + (10*t[13])/27 - (85*t[14])/12 + 
       (15*t[15])/8 + (2*t[27])/3 - (4*t[28])/3 - (2*t[29])/3 + (2*t[30])/3 - 
       (2*t[32])/3 + (2*t[33])/3 - (8*t[34])/3 + (2*t[38])/3 - (4*t[39])/3 + 
       (5*t[40])/3 - t[41]/3 + t[42]/3 + (2*t[43])/3 + (2*t[44])/3 + 
       (11*t[45])/3 - 5*t[47] - (7*t[48])/12 - (7*t[49])/6 - (5*t[50])/4 + 
       (5*t[51])/4 - (3*t[52])/4 + (7*t[53])/6 + t[54]/4 - t[59]/2 - 
       (23*t[60])/6 - (37*t[61])/6 + (47*t[62])/12 - (79*t[63])/12 + 
       (13*t[64])/4 - (19*t[65])/18 + (13*t[66])/18 - (7*t[76])/3 + 
       (4*t[78])/3 - (14*t[80])/3 - t[81] + t[82] + t[84]/2 - (13*t[85])/6 + 
       (29*t[87])/6 + (29*t[88])/12 + (7*t[89])/4 - t[97]/3 - 52*t[98] + 
       66*t[99] - 13*t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-5*t[1])/12 + (7*t[2])/24 - (145*t[3])/192 - 
       (41*t[4])/16 + (181*t[5])/96 - (199*t[6])/384 + (15*t[7])/8 - 
       (61*t[8])/12 + (165*t[9])/64 + (37*t[10])/32 - t[11]/384 + 
       (121*t[12])/48 - (907*t[13])/576 + (1537*t[14])/1152 + 
       (137*t[15])/216 - (37*t[29])/48 - t[30]/3 + t[31]/6 - t[32]/8 + 
       t[33]/8 + (29*t[34])/24 + t[36]/4 + t[37]/2 - t[38]/3 - (7*t[39])/48 - 
       (17*t[40])/48 + t[43]/12 + (17*t[44])/24 - (7*t[45])/6 + (5*t[47])/6 - 
       (545*t[48])/384 + (13*t[49])/96 + (77*t[50])/128 - (61*t[51])/192 + 
       (25*t[52])/384 - (13*t[53])/96 - (455*t[54])/384 - (5*t[59])/48 - 
       (11*t[60])/64 + (4445*t[61])/576 + (7877*t[62])/1152 + 
       (4225*t[63])/384 - (5537*t[64])/384 + (9203*t[65])/1728 + 
       (4501*t[66])/1728 - t[69]/2 - t[73]/3 + (3*t[74])/4 - t[75]/3 + 
       (5*t[76])/3 + t[77]/6 - (10*t[78])/3 + (21*t[79])/8 + (23*t[80])/6 + 
       (7*t[81])/8 - (5*t[82])/12 - t[83]/36 + (2455*t[84])/576 + 
       (1415*t[85])/576 - (751*t[86])/72 - (1817*t[87])/576 - 
       (665*t[88])/1152 - (1219*t[89])/384 + t[97]/6 + (13*t[98])/2 - 
       (43*t[99])/6 - (25*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^3*
      ((7*t[1])/6 - (103*t[2])/24 + (221*t[3])/96 + (47*t[4])/4 - 
       (77*t[5])/48 - (259*t[6])/192 - (15*t[7])/4 - (43*t[8])/24 - 
       (263*t[9])/32 - (15*t[10])/8 + (1763*t[11])/192 - (217*t[12])/48 + 
       (767*t[13])/96 - (1757*t[14])/576 - (1025*t[15])/864 + t[19]/2 + 
       t[20]/2 - t[22]/2 - (7*t[29])/24 + t[30]/12 - t[31]/6 + t[32]/2 - 
       t[33]/2 - (55*t[34])/12 - t[35] - t[36]/2 - (3*t[37])/2 + 
       (4*t[38])/3 + (5*t[39])/6 + (7*t[40])/6 + t[41]/4 - t[42]/4 - 
       t[43]/12 - t[44]/12 + (14*t[45])/3 - (10*t[47])/3 + (235*t[48])/192 - 
       (23*t[49])/12 + (97*t[50])/64 + (47*t[51])/24 - (803*t[52])/192 + 
       (23*t[53])/12 - (83*t[54])/192 + (25*t[59])/24 + (1067*t[60])/96 + 
       (833*t[61])/32 + (247*t[62])/192 - (1405*t[63])/64 - 
       (1393*t[64])/192 - (1255*t[65])/288 - (2059*t[66])/96 - t[69]/2 + 
       (5*t[72])/2 - t[74]/2 + 3*t[75] - (37*t[76])/6 - (2*t[77])/3 + 
       (26*t[78])/3 - (3*t[79])/2 - 2*t[80] + (11*t[81])/12 - (8*t[82])/3 - 
       (23*t[83])/4 + (481*t[84])/96 - (223*t[85])/96 - (22*t[86])/3 - 
       (13*t[87])/32 - (13*t[88])/64 + (833*t[89])/192 - (2*t[97])/3 - 
       29*t[98] + 27*t[99] - (49*t[100])/4) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*((5*t[3])/2 + (9*t[4])/2 + (13*t[5])/2 + 
       (19*t[6])/2 - 6*t[7] + 10*t[8] + 17*t[9] - (5*t[10])/4 - 7*t[11] - 
       (5*t[12])/4 - (3*t[13])/2 + (67*t[14])/24 - (67*t[15])/6 + 6*t[28] - 
       4*t[30] - 2*t[31] + 4*t[39] - t[43] - 6*t[44] - 2*t[45] - 3*t[46] + 
       6*t[47] + 7*t[48] + (13*t[49])/4 - 5*t[50] + t[51]/8 + 5*t[52] - 
       (13*t[53])/4 + (3*t[54])/2 + 2*t[60] + 4*t[61] - 4*t[62] - 4*t[63] - 
       4*t[64] + (14*t[65])/3 + 2*t[89] - 12*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-3*t[2] + t[3] + (29*t[4])/2 - 13*t[5] + t[6]/2 - 20*t[7] - 7*t[8] - 
       (5*t[9])/2 + (51*t[10])/4 - (9*t[11])/2 - (27*t[12])/4 + 
       (155*t[13])/36 - (109*t[14])/24 - (25*t[15])/3 + 2*t[28] - 2*t[31] - 
       2*t[32] + 2*t[33] + 2*t[35] - 6*t[36] - 3*t[43] - 2*t[44] + t[46] + 
       (5*t[48])/2 + (29*t[49])/4 - (13*t[50])/2 - (23*t[51])/8 + 
       (13*t[52])/2 - (29*t[53])/4 - 3*t[54] - t[60] - 16*t[61] - 
       (47*t[62])/4 - (149*t[63])/4 - 3*t[64] - (44*t[65])/3 - 
       (103*t[66])/3 + 4*t[72] + 2*t[74] + 2*t[77] - 8*t[80] + 3*t[81] - 
       3*t[82] + 12*t[83] - (5*t[84])/2 + 4*t[85] + 4*t[86] - t[87] - 
       t[88]/2 + 2*t[89] - 12*t[100]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 1, 1}, 1 - v]*(t[1]/18 - (4*t[2])/9 - (167*t[3])/72 - 
       (5*t[4])/9 - (43*t[5])/12 + (229*t[6])/24 - (179*t[7])/18 + 
       (1195*t[8])/36 - (16*t[9])/3 - (14*t[10])/9 - (217*t[11])/24 + 
       (7*t[12])/12 - (485*t[13])/648 + (379*t[14])/216 + (155*t[15])/1296 + 
       (2*t[23])/9 - 3*t[28] + (5*t[29])/3 - (19*t[30])/18 - (4*t[32])/9 + 
       t[33]/18 + (2*t[39])/9 + t[41]/18 - t[42]/18 - (71*t[44])/18 - 
       (4*t[45])/9 + (4*t[47])/9 + (347*t[48])/72 - t[49]/6 - 
       (433*t[50])/72 + t[51]/12 + (409*t[52])/72 + t[53]/6 + 
       (671*t[54])/72 - (109*t[60])/18 + (71*t[61])/36 + (109*t[62])/18 - 
       (15*t[63])/2 + (1033*t[64])/72 + (344*t[65])/27 + (701*t[66])/54 - 
       (2*t[70])/9 + (2*t[71])/9 + t[74]/9 - 3*t[75] + (4*t[76])/9 + 
       t[77]/9 - t[78]/6 + t[79] + (7*t[80])/9 + t[81]/9 + t[82]/18 + 
       2*t[83] + (47*t[84])/36 + (8*t[85])/9 + 3*t[86] + (223*t[87])/36 + 
       (29*t[88])/8 + (631*t[89])/72 - (2*t[95])/9 - t[96]/9 + t[97]/9 + 
       (8*t[98])/3 - (8*t[99])/3 - 12*t[100]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*(t[59] + (5*t[60])/4 + 
       (45*t[61])/4 - (115*t[62])/24 + (163*t[63])/24 + (59*t[64])/24 - 
       (71*t[65])/36 + (409*t[66])/18 + t[67]/2 - 7*t[74] - 7*t[79] - 
       3*t[80] - (10*t[83])/3 + (5*t[84])/3 - (20*t[85])/3 + (34*t[86])/3 + 
       (10*t[87])/3 + (5*t[88])/3 + (35*t[89])/24 - (23*t[100])/2) + 
     HPL[{0, 1, 1}, 1 - u]*Omega2[v, w, u]*((-3*t[3])/2 - 2*t[4] + t[5]/4 + 
       t[6] + (3*t[7])/2 + (9*t[8])/2 + (3*t[9])/4 + (5*t[10])/2 + 
       (3*t[11])/2 + (19*t[12])/4 + t[13]/2 + (59*t[14])/12 + (9*t[15])/8 - 
       t[22] - 2*t[29] + 5*t[61] - 6*t[62] + 3*t[65] - 3*t[66] + t[82] + 
       12*t[99] - (23*t[100])/2) + HPL[{0, 1, 1}, 1 - v]*Omega2[w, u, v]*
      (t[3]/2 + 2*t[4] + t[5] + (3*t[6])/4 - 5*t[7] - 3*t[8] - (5*t[9])/2 + 
       (13*t[11])/4 - t[12] + (5*t[13])/2 - (13*t[14])/12 + t[15]/2 + t[39] - 
       t[40] + t[44] + t[48]/4 + 2*t[49] + t[50]/4 - t[51]/2 - t[52]/4 - 
       2*t[53] - (13*t[54])/4 + (11*t[60])/4 + (41*t[61])/4 - (29*t[62])/4 - 
       (31*t[63])/4 - (441*t[64])/8 - (52*t[65])/3 - (419*t[66])/12 + 
       2*t[69] - t[72] - 2*t[75] - t[77]/2 - 4*t[79] + 4*t[80] + t[81] - 
       5*t[82] + 5*t[83] - (9*t[84])/2 - 2*t[85] + 6*t[86] + 2*t[87] + 
       t[88] - (45*t[89])/8 + 12*t[99] - (23*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*
      (t[3]/8 + t[4]/2 - (3*t[5])/16 - t[6]/4 - t[7]/8 - (3*t[8])/8 - 
       (9*t[9])/16 - (7*t[10])/8 - t[11]/8 - (17*t[12])/16 - t[13]/8 + 
       (5*t[14])/16 - t[15]/96 - t[22]/4 - t[29]/2 - (277*t[60])/24 + 
       (53*t[61])/4 + (25*t[62])/8 + (229*t[63])/24 + (49*t[64])/24 - 
       (439*t[65])/72 - (269*t[66])/72 + 2*t[69] - (2*t[72])/3 - 
       (3*t[75])/2 + 2*t[78] + t[81]/3 + t[82]/3 - (2*t[83])/3 + 
       (2*t[84])/3 - (5*t[85])/6 - 3*t[86] + (28*t[87])/3 + (14*t[88])/3 - 
       (79*t[89])/48 + t[99] - (275*t[100])/24) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-5*t[1])/12 + (17*t[2])/12 - (215*t[3])/96 - (3*t[4])/16 - 
       (131*t[5])/24 + (877*t[6])/192 + t[7]/2 + (55*t[8])/24 + 
       (117*t[9])/32 - (81*t[10])/32 - (1529*t[11])/192 - (277*t[12])/96 - 
       (211*t[13])/96 - (187*t[14])/36 - (1039*t[15])/216 - t[20] + t[22] + 
       t[28] + (73*t[29])/24 - (67*t[30])/12 + (2*t[31])/3 - (3*t[32])/4 + 
       t[33] + (7*t[34])/12 + (3*t[35])/2 - (3*t[36])/4 + t[37]/2 - 
       t[38]/12 - (7*t[39])/12 + (7*t[40])/12 + t[43]/12 + (17*t[44])/24 + 
       (7*t[45])/12 - t[46]/8 - (5*t[47])/12 + (455*t[48])/192 - 
       (29*t[49])/96 - (107*t[50])/64 + (11*t[51])/192 + (353*t[52])/192 - 
       (67*t[53])/96 + (1013*t[54])/192 - (7*t[59])/24 + (79*t[60])/288 + 
       (7*t[61])/32 - (591*t[62])/64 - (3413*t[63])/576 + (23371*t[64])/576 - 
       (6647*t[65])/864 - (10669*t[66])/864 - (7*t[69])/6 + (5*t[72])/9 - 
       2*t[73] - t[74]/2 - t[75]/2 - (43*t[76])/12 - t[77]/3 + t[78]/4 + 
       (3*t[79])/8 + (7*t[80])/2 - (515*t[81])/72 + (277*t[82])/72 + 
       (35*t[83])/9 + (473*t[84])/288 + (719*t[85])/288 + (527*t[86])/24 + 
       (3691*t[87])/288 + (4267*t[88])/576 + (4201*t[89])/576 - (3*t[96])/4 - 
       (7*t[97])/12 - 17*t[98] + 24*t[99] - (34*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((7*t[1])/12 - (85*t[2])/24 - (83*t[3])/96 + (55*t[4])/6 - 
       (39*t[5])/64 + t[6]/2 - (245*t[7])/96 + (797*t[8])/96 - 
       (1291*t[9])/192 - (3*t[10])/8 - (253*t[11])/96 - (1277*t[12])/192 - 
       (3079*t[13])/864 - (167*t[14])/96 - (509*t[15])/384 + t[18]/6 - 
       t[19] + t[21] - t[23] + t[25]/2 + t[26]/4 + t[27]/6 - (5*t[28])/6 - 
       t[29]/6 + t[30]/6 - 2*t[31] + t[32]/3 - t[33]/3 - (11*t[34])/12 - 
       2*t[35] + 2*t[37] - t[38]/3 + t[39]/6 - (7*t[40])/12 - t[41]/3 + 
       t[42]/3 + (41*t[43])/48 + t[44]/6 + (41*t[45])/12 - t[46]/2 - 
       (31*t[47])/4 + (109*t[48])/24 + (53*t[49])/96 - t[50]/4 - 
       (19*t[51])/64 + t[52] - (53*t[53])/96 - (35*t[54])/16 + t[58]/4 + 
       (13*t[59])/8 + (55*t[60])/16 - (79*t[61])/48 - (155*t[62])/48 - 
       (431*t[63])/16 + (43*t[64])/96 - (125*t[65])/144 - (209*t[66])/16 - 
       (13*t[69])/12 + (5*t[72])/12 + (23*t[73])/12 + t[74]/2 - (5*t[75])/6 - 
       (7*t[76])/3 + (5*t[77])/4 + t[78]/6 - (7*t[79])/4 - (25*t[80])/6 + 
       (5*t[81])/6 - (23*t[82])/6 - (85*t[83])/24 + (83*t[84])/24 - 
       (61*t[85])/24 + (34*t[86])/3 + (19*t[87])/24 + (19*t[88])/48 + 
       (343*t[89])/96 + t[97]/6 - 17*t[98] + 24*t[99] - (34*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*
      (t[3]/8 + t[4]/2 + t[5]/4 + (7*t[6])/16 - (5*t[7])/4 - (3*t[8])/4 - 
       t[9]/8 + t[10] + (9*t[11])/16 - t[12]/4 + t[13]/8 + (59*t[14])/48 - 
       (11*t[15])/24 - t[39]/4 + t[40]/4 - t[44]/4 - (3*t[48])/16 + t[49]/2 - 
       (3*t[50])/16 - (3*t[51])/8 + (3*t[52])/16 - t[53]/2 - (9*t[54])/16 - 
       (125*t[60])/16 + (1867*t[61])/144 - (901*t[62])/144 + (91*t[63])/24 + 
       (289*t[64])/48 - (6809*t[65])/432 - (6865*t[66])/432 - (3*t[69])/2 + 
       t[72]/4 - 2*t[74] - 3*t[75] + t[77]/8 - 2*t[78] - (143*t[79])/48 - 
       t[80]/2 - (3*t[81])/4 - (13*t[82])/4 + (715*t[83])/36 - 
       (113*t[84])/72 - (19*t[85])/18 + (419*t[86])/144 + (437*t[87])/36 + 
       (437*t[88])/72 - (35*t[89])/96 + t[99] - (265*t[100])/24) + 
     HPL[{1}, 1 - v]^2*Qep[w, u, v]*(16*t[60] + (280*t[61])/9 + 
       (146*t[62])/9 + (26*t[63])/3 - (128*t[64])/3 - (548*t[65])/27 - 
       (292*t[66])/27 - (32*t[79])/3 - (32*t[83])/9 - (16*t[84])/9 + 
       (16*t[85])/9 - (208*t[86])/9 - (112*t[87])/9 - (56*t[88])/9 - 
       (40*t[89])/3 - (32*t[100])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - u]*(t[1] + (67*t[2])/12 + (7*t[3])/2 + (20*t[4])/3 - 
       (1457*t[5])/24 - (905*t[6])/18 + (115*t[7])/3 - (280*t[8])/3 + 
       (1111*t[9])/24 - (571*t[10])/12 + (593*t[11])/12 + (973*t[12])/24 - 
       (589*t[13])/36 + (53*t[14])/36 - (5123*t[15])/144 - (7*t[18])/9 - 
       t[22]/3 + t[28] + 3*t[31] + (55*t[41])/6 - (32*t[42])/9 + 
       (32*t[43])/3 + (7*t[44])/3 + (113*t[45])/6 - t[46]/3 - 18*t[47] - 
       (20*t[48])/3 - (77*t[49])/12 + (23*t[50])/6 + (79*t[51])/24 - 
       (23*t[52])/6 + (77*t[53])/12 + (5*t[54])/3 + (47*t[59])/9 + 
       (401*t[60])/48 + (4763*t[61])/48 - (109*t[62])/2 + (281*t[63])/24 + 
       (3079*t[64])/96 + (131*t[65])/48 - (17833*t[66])/144 + t[67]/6 - 
       2*t[69] - 4*t[72] + (8*t[73])/3 - (35*t[74])/12 - (2*t[75])/3 + 
       (8*t[76])/3 + (52*t[77])/3 - (2*t[78])/3 + (13*t[79])/3 - 
       (140*t[80])/3 + (79*t[81])/24 - (13*t[82])/8 - 8*t[83] + t[84]/4 + 
       (13*t[85])/48 - (41*t[86])/12 - (181*t[87])/48 - (181*t[88])/96 + 
       (543*t[89])/32 + 16*t[98] - 20*t[99] - (21*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      (t[59]/4 + (101*t[60])/48 + (41*t[61])/16 - (109*t[62])/48 - 
       (421*t[63])/48 - (1699*t[64])/96 + (749*t[65])/144 - (559*t[66])/48 - 
       t[69]/4 + t[72]/4 + t[73] + (13*t[74])/12 + t[75]/4 + t[78]/2 - 
       (61*t[79])/24 - t[80]/4 + (13*t[81])/8 - (19*t[82])/8 - 
       (49*t[83])/24 + (23*t[84])/24 + (5*t[85])/48 - (7*t[86])/8 - 
       (121*t[87])/48 - (121*t[88])/96 - (17*t[89])/32 + 3*t[99] - 
       (41*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*(-t[59]/8 + (7*t[60])/2 - (11*t[61])/4 - 
       (233*t[62])/24 + (301*t[63])/48 + (529*t[64])/24 - (1339*t[65])/144 - 
       (91*t[66])/18 - t[73] - (5*t[74])/2 - 2*t[75] - 2*t[78] + 
       (17*t[79])/8 - (3*t[80])/4 - (17*t[81])/8 + (3*t[82])/8 + 
       (85*t[83])/12 - (37*t[84])/24 - (19*t[85])/48 + (175*t[86])/24 + 
       (263*t[87])/48 + (263*t[88])/96 + (73*t[89])/24 + 3*t[99] - 
       (121*t[100])/12) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2*
      (2*t[3] + 4*t[4] - t[5] - 2*t[6] - 2*t[7] - 6*t[8] - 3*t[9] - 6*t[10] - 
       2*t[11] - 9*t[12] - t[13] - (11*t[14])/3 - (7*t[15])/6 - 8*t[60] - 
       2*t[61] + 8*t[62] - 2*t[64] + (4*t[65])/3 + 4*t[66] - 2*t[82] + 
       4*t[83] + 4*t[87] + 2*t[88] - 16*t[99] - 10*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2*(t[6] + 2*t[9] + 2*t[10] - 
       t[11] - (2*t[13])/3 + 3*t[14] - (5*t[15])/3 - 2*t[39] + 2*t[40] - 
       2*t[44] - t[48] - 2*t[49] - t[50] + t[52] + 2*t[53] + t[54] + t[60] - 
       t[61] + (17*t[62])/2 + (71*t[63])/2 + (209*t[64])/2 + (52*t[65])/3 + 
       (80*t[66])/3 - 4*t[69] + 2*t[72] + 4*t[75] + t[77] + 6*t[79] + 
       2*t[80] - 2*t[81] + 6*t[82] - 14*t[83] + 10*t[84] + t[85] - 16*t[86] - 
       5*t[87] - (5*t[88])/2 + (23*t[89])/2 - 16*t[99] - 10*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v]*
      ((-509*t[2])/36 + (701*t[3])/12 - (73*t[4])/6 + (367*t[5])/6 + 
       (683*t[6])/24 - (1021*t[7])/12 + (241*t[8])/4 - (389*t[9])/3 - 
       9*t[10] - (617*t[11])/24 - (5*t[12])/6 + (161*t[13])/216 - 
       (1435*t[14])/18 + (421*t[15])/216 - 3*t[28] - 13*t[29] - 
       (49*t[30])/6 - t[31] - (55*t[32])/3 + (115*t[33])/6 - (20*t[34])/3 + 
       (16*t[35])/3 + 2*t[36] + (7*t[43])/6 + (29*t[44])/2 + (499*t[48])/24 - 
       (35*t[49])/12 - (339*t[50])/8 + (35*t[51])/24 + (339*t[52])/8 + 
       (35*t[53])/12 + (629*t[54])/24 + (8*t[59])/9 - (863*t[60])/12 - 
       (121*t[61])/12 + (601*t[62])/24 - (703*t[63])/8 + (3491*t[64])/24 + 
       (841*t[65])/12 + (649*t[66])/12 + t[67]/6 + (2*t[73])/3 - t[74] + 
       (26*t[75])/3 - (26*t[76])/3 + t[77]/3 - (4*t[79])/3 + (14*t[80])/3 - 
       (32*t[81])/3 - (5*t[82])/3 - (35*t[83])/2 - (83*t[84])/12 - 
       (59*t[85])/12 + (43*t[86])/3 + (563*t[87])/12 + (189*t[88])/8 + 
       (683*t[89])/24 + 16*t[98] - 20*t[99] - (29*t[100])/3) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((217*t[2])/24 - (169*t[3])/96 + (91*t[4])/48 - (4319*t[5])/192 - 
       (349*t[6])/48 + (645*t[7])/32 + (485*t[8])/96 + (4015*t[9])/192 - 
       (1097*t[10])/96 + (1859*t[11])/96 + (463*t[12])/192 + 
       (1895*t[13])/216 + (1907*t[14])/192 + (1627*t[15])/1152 - 2*t[19] + 
       2*t[21] - (5*t[22])/12 - 2*t[23] - t[27]/3 - (5*t[28])/3 + t[29]/3 + 
       t[30]/2 + (10*t[31])/3 + t[32]/3 - t[33]/3 + (4*t[34])/3 - 
       (4*t[35])/3 - (2*t[37])/3 - t[38]/3 - t[39] - (5*t[40])/6 - 
       (11*t[41])/24 + (11*t[42])/24 - t[43]/16 + (7*t[44])/3 + t[45]/8 + 
       (17*t[46])/12 - (5*t[47])/12 - (269*t[48])/48 + (43*t[49])/48 + 
       (25*t[50])/16 - (89*t[51])/96 - (9*t[52])/16 - (43*t[53])/48 - 
       (51*t[54])/16 - (37*t[59])/24 + (71*t[60])/12 + (343*t[61])/12 - 
       (481*t[62])/12 - (111*t[63])/8 - (245*t[64])/8 + (155*t[65])/16 - 
       (2641*t[66])/48 - (11*t[69])/3 + t[73]/3 + (2*t[74])/3 - (7*t[75])/3 + 
       (7*t[76])/6 + (13*t[77])/12 - (2*t[78])/3 - 8*t[79] + 8*t[80] + 
       (4*t[81])/3 - (11*t[82])/2 + (23*t[83])/2 - t[84] + (35*t[85])/4 + 
       (104*t[86])/3 - (17*t[87])/4 - (17*t[88])/8 - (19*t[89])/24 + 
       t[97]/6 + 11*t[98] - 3*t[99] - (19*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((19*t[1])/6 - (5*t[2])/4 + (243*t[3])/32 + (453*t[4])/16 + 
       (5963*t[5])/192 - (437*t[6])/48 - (5719*t[7])/96 - (349*t[8])/96 - 
       (4845*t[9])/64 - (1441*t[10])/96 - (1891*t[11])/96 - 
       (6167*t[12])/192 - (3107*t[13])/432 - (8249*t[14])/192 + 
       (7219*t[15])/384 - t[18]/3 - t[19] + t[21] + (23*t[22])/12 - t[23] + 
       (5*t[27])/3 + 3*t[28] - (5*t[29])/3 + (5*t[30])/6 - (31*t[31])/3 - 
       (8*t[32])/3 + (8*t[33])/3 - (32*t[34])/3 - (41*t[35])/3 + 
       (11*t[37])/3 + (8*t[38])/3 - (5*t[39])/3 + (20*t[40])/3 - 
       (29*t[41])/24 + (29*t[42])/24 + (289*t[43])/48 - 4*t[44] - 
       (43*t[45])/24 + (4*t[46])/3 - (97*t[47])/12 + (83*t[48])/16 - 
       (11*t[49])/3 + (11*t[50])/16 + (19*t[51])/12 - (139*t[52])/16 + 
       (11*t[53])/3 - (139*t[54])/16 + (55*t[59])/24 - (587*t[60])/24 - 
       (2197*t[61])/24 + (4859*t[62])/48 - (2423*t[63])/48 - (173*t[64])/16 - 
       (4363*t[65])/144 + (9415*t[66])/144 + (8*t[69])/3 + (7*t[73])/6 + 
       (22*t[74])/3 - (13*t[75])/6 - (28*t[76])/3 - (25*t[77])/12 + 
       (16*t[78])/3 - 2*t[79] + (91*t[80])/6 - (67*t[81])/12 + (15*t[82])/4 + 
       (9*t[83])/2 + 4*t[84] - (461*t[85])/24 - (59*t[86])/3 + 
       (673*t[87])/24 + (673*t[88])/48 + (65*t[89])/48 - (4*t[97])/3 - 
       82*t[98] + 82*t[99] - (19*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - v]*(t[60]/4 + (61*t[61])/4 - 
       (75*t[62])/8 - (461*t[63])/8 + (7*t[64])/8 - (152*t[65])/3 - 
       31*t[66] + 5*t[69] - (9*t[70])/2 + (9*t[71])/2 + 4*t[72] + 3*t[73] - 
       (27*t[75])/2 - 9*t[78] - (3*t[79])/2 - (3*t[80])/2 - 2*t[81] - 
       2*t[82] + (67*t[83])/4 - (17*t[84])/2 + t[85]/2 + 6*t[86] + t[87] + 
       t[88]/2 - (107*t[89])/8 - 9*t[100]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*(-2*t[99] - 9*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-t[10]/2 + t[13]/3 - (3*t[14])/4 + t[15]/6 - t[49]/2 + t[51]/4 + 
       t[53]/2 - 23*t[60] + (175*t[61])/12 + (449*t[62])/48 + 
       (269*t[63])/16 + (285*t[64])/4 - (427*t[65])/72 + (277*t[66])/72 - 
       4*t[69] + t[75] + (13*t[79])/2 + 8*t[80] - t[81] + 2*t[82] - 
       (32*t[83])/3 + (2*t[84])/3 - (61*t[85])/6 - (73*t[86])/3 + 
       (133*t[87])/6 + (133*t[88])/12 + (11*t[89])/2 - 2*t[99] - 9*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u]*
      ((307*t[60])/144 + (55*t[61])/16 - (1109*t[62])/96 + (7027*t[63])/288 + 
       (6037*t[64])/288 + (439*t[65])/108 - (997*t[66])/108 + (5*t[69])/6 - 
       (19*t[72])/18 - (19*t[73])/12 - 2*t[74] + t[75]/4 + (7*t[78])/6 - 
       t[79] - (49*t[81])/72 - (79*t[82])/72 + (25*t[83])/9 + (71*t[84])/36 - 
       (7*t[85])/144 - t[86]/2 + (739*t[87])/144 + (739*t[88])/288 + 
       (2131*t[89])/288 - (23*t[100])/3) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*((-7*t[1])/3 + (71*t[2])/24 - 
       (803*t[3])/96 - (499*t[4])/48 - (4709*t[5])/192 + (347*t[6])/48 + 
       (4277*t[7])/96 + (421*t[8])/32 + (11021*t[9])/192 + (1069*t[10])/96 + 
       (1367*t[11])/32 + (1591*t[12])/64 + (161*t[13])/6 + (6145*t[14])/192 - 
       (13591*t[15])/1152 - (11*t[22])/12 - t[27] - (10*t[28])/3 + t[29] - 
       t[30]/6 + (22*t[31])/3 + 2*t[32] - t[33] + 4*t[34] + (26*t[35])/3 - 
       (11*t[37])/3 - t[38] - (2*t[39])/3 - (5*t[40])/2 + (5*t[41])/8 - 
       (5*t[42])/8 - (281*t[43])/48 + (8*t[44])/3 + (71*t[45])/24 - 
       (31*t[46])/12 + (151*t[47])/12 - (385*t[48])/48 + (51*t[49])/16 + 
       (13*t[50])/16 + t[51]/96 + (35*t[52])/16 - (51*t[53])/16 - 
       (35*t[54])/16 - (67*t[59])/24 + (115*t[60])/4 + (371*t[61])/4 - 
       (887*t[62])/8 + (79*t[63])/12 + (37*t[64])/4 + (4409*t[65])/144 - 
       (13433*t[66])/144 - (11*t[69])/3 + t[73]/3 - (22*t[74])/3 - t[75]/3 + 
       (7*t[76])/2 + (31*t[77])/12 - 2*t[78] - (71*t[80])/6 + (16*t[81])/3 - 
       (27*t[82])/4 + (3*t[83])/2 + (215*t[85])/12 + (229*t[86])/6 - 
       (253*t[87])/12 - (253*t[88])/24 + (59*t[89])/24 + t[97]/2 - 15*t[98] + 
       20*t[99] - (15*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((4*t[1])/3 - (14*t[2])/3 + (8*t[3])/3 + 
       (85*t[4])/24 + (383*t[5])/16 - (15*t[6])/8 - (545*t[7])/24 + 
       (425*t[8])/24 - (1987*t[9])/48 + (289*t[10])/16 + (149*t[11])/24 - 
       (205*t[12])/24 + (340*t[13])/27 - (2599*t[14])/96 + (887*t[15])/96 + 
       t[22] + (8*t[27])/3 + t[28]/6 - (8*t[29])/3 + (5*t[30])/3 - t[31]/2 - 
       (8*t[32])/3 + (8*t[33])/3 - (32*t[34])/3 - 4*t[35] + (8*t[38])/3 - 
       (7*t[39])/3 + (20*t[40])/3 + t[41]/6 - t[42]/6 + (5*t[43])/12 - 
       (5*t[44])/6 + (5*t[45])/3 + t[46]/4 + (13*t[47])/2 - (19*t[48])/12 - 
       (137*t[49])/48 - (13*t[50])/4 + (105*t[51])/32 - (19*t[52])/4 + 
       (137*t[53])/48 - (45*t[54])/8 - t[59]/2 - (77*t[60])/6 - 
       (80*t[61])/3 + (203*t[62])/12 - (499*t[63])/12 + (93*t[64])/4 + 
       (367*t[65])/36 + (419*t[66])/36 - (28*t[76])/3 - 3*t[77] + 
       (16*t[78])/3 - (5*t[80])/3 - 4*t[81] + (9*t[82])/2 + 2*t[84] - 
       (26*t[85])/3 + 3*t[86] + (58*t[87])/3 + (29*t[88])/3 + (23*t[89])/2 - 
       (4*t[97])/3 - 88*t[98] + 95*t[99] - (15*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((4*t[1])/3 - (37*t[2])/12 - (65*t[3])/24 + (181*t[4])/8 - 
       (217*t[5])/12 - (269*t[6])/48 - 3*t[7] - (19*t[8])/12 - (37*t[9])/4 - 
       (61*t[10])/16 + (397*t[11])/48 - (641*t[12])/48 + (2045*t[13])/144 - 
       (3617*t[14])/288 - (65*t[15])/108 + t[28]/2 - (5*t[29])/6 + 
       (14*t[30])/3 + t[31]/6 + t[32]/2 - t[33]/2 - (23*t[34])/3 + t[35]/2 + 
       t[36]/2 + (8*t[38])/3 + (5*t[39])/3 + (7*t[40])/3 - (5*t[43])/12 + 
       (23*t[44])/6 + (28*t[45])/3 + t[46]/4 - (20*t[47])/3 + 
       (185*t[48])/48 - (193*t[49])/48 + (55*t[50])/16 + (403*t[51])/96 - 
       (421*t[52])/48 + (193*t[53])/48 - (103*t[54])/48 + (11*t[59])/6 + 
       (229*t[60])/24 + (1639*t[61])/24 + (465*t[62])/8 - (117*t[63])/8 - 
       (3109*t[64])/24 - (62*t[65])/9 - (403*t[66])/18 + t[67]/4 + t[68] + 
       2*t[69] + t[70] - t[71] - 6*t[72] + (11*t[74])/2 + 14*t[75] - 
       (113*t[76])/6 - t[77]/3 + (197*t[78])/6 - 15*t[79] - 17*t[80] + 
       (35*t[81])/6 - (61*t[82])/12 - (23*t[83])/6 + (295*t[84])/24 - 
       (103*t[85])/24 - (727*t[86])/12 + (233*t[87])/24 + (233*t[88])/48 + 
       (229*t[89])/48 + t[92]/4 - t[93] - t[94]/4 - (13*t[97])/12 - 
       88*t[98] + 95*t[99] - (15*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      M1[w, u, v]*(4*t[60] + (13*t[61])/2 - (15*t[62])/8 + (43*t[63])/8 - 
       (5*t[64])/2 - (7*t[65])/12 - 5*t[66] + t[69] - t[73] + t[75] + t[78] - 
       (5*t[83])/2 + (5*t[84])/4 - t[85]/4 - t[86] - (9*t[87])/4 - 
       (9*t[88])/8 - (3*t[89])/4 - 7*t[100]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*M1[w, v, u]*((43*t[60])/12 - (5*t[61])/4 - t[62]/8 + 
       (31*t[63])/24 - (65*t[64])/24 + (55*t[65])/36 - t[66]/36 - t[69] - 
       (2*t[72])/3 + t[81]/3 - (2*t[82])/3 - (2*t[83])/3 + (11*t[84])/12 + 
       (5*t[85])/12 + t[86] - (23*t[87])/12 - (23*t[88])/24 + (13*t[89])/24 - 
       7*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2*
      (t[1]/6 + t[2]/3 + (163*t[3])/192 + (15*t[4])/8 + (671*t[5])/96 + 
       (1981*t[6])/384 - (205*t[7])/16 + (209*t[8])/24 - (499*t[9])/64 + 
       (47*t[10])/16 - (1349*t[11])/384 - (101*t[12])/96 + (487*t[13])/192 - 
       (2017*t[14])/1152 - (205*t[15])/432 + (3*t[28])/2 + (17*t[29])/24 - 
       (29*t[30])/48 - (7*t[31])/6 - (19*t[32])/16 + (19*t[33])/16 + 
       t[34]/24 - 2*t[35] - (3*t[36])/2 - t[37]/2 - t[38]/6 - t[39]/24 - 
       (5*t[40])/24 - (13*t[43])/12 - (83*t[44])/24 - (7*t[45])/12 + 
       (5*t[47])/12 + (1595*t[48])/384 + (79*t[49])/48 - (719*t[50])/128 - 
       (91*t[51])/96 + (2285*t[52])/384 - (79*t[53])/48 + (989*t[54])/384 - 
       (7*t[59])/48 + (199*t[60])/192 - (327*t[61])/64 + (3059*t[62])/384 - 
       (1457*t[63])/128 + (943*t[64])/384 - (47*t[65])/576 - (141*t[66])/64 - 
       t[69]/2 + t[72]/2 + t[74]/4 - t[75] + (19*t[76])/12 + (13*t[77])/12 - 
       (10*t[78])/3 + (19*t[79])/4 - 2*t[80] + (7*t[81])/24 + (7*t[82])/12 - 
       (13*t[83])/4 - (103*t[84])/192 + (25*t[85])/192 - (79*t[86])/12 - 
       (281*t[87])/64 - (281*t[88])/128 + (61*t[89])/384 + t[97]/12 + 
       7*t[98] - 7*t[99] - 7*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*(t[3]/4 + t[4] + t[5]/2 + 
       (3*t[6])/8 - (5*t[7])/2 - (3*t[8])/2 - (5*t[9])/4 - t[10] + 
       (13*t[11])/8 - t[12]/2 + (23*t[13])/12 - (49*t[14])/24 + 
       (7*t[15])/12 + t[39]/2 - t[40]/2 + t[44]/2 + t[48]/8 + t[50]/8 + 
       t[51]/4 - t[52]/8 - (13*t[54])/8 - 7*t[60] + (31*t[61])/3 - 
       (125*t[62])/24 + (171*t[63])/8 + (57*t[64])/2 + (19*t[65])/36 + 
       (299*t[66])/36 + 4*t[69] - 2*t[73] + 5*t[75] + 2*t[78] + (5*t[79])/2 + 
       2*t[80] - 3*t[81] + 5*t[82] - (61*t[83])/6 + (17*t[84])/12 - 
       (77*t[85])/12 + (7*t[86])/6 + (29*t[87])/12 + (29*t[88])/24 + 
       t[89]/4 - 2*t[99] - 7*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      Omega2[u, v, w]*((-2*t[1])/3 - (2*t[2])/3 - (65*t[3])/24 - 
       (61*t[4])/12 - (77*t[5])/16 + t[6] + (283*t[7])/24 + (293*t[8])/24 + 
       (527*t[9])/48 + (103*t[10])/8 + (557*t[11])/24 + (475*t[12])/48 + 
       (481*t[13])/27 + (221*t[14])/48 - (223*t[15])/96 + (2*t[27])/3 - 
       (4*t[28])/3 - (2*t[29])/3 + (2*t[30])/3 + 4*t[31] - (2*t[32])/3 + 
       (2*t[33])/3 - (8*t[34])/3 + 4*t[35] - 2*t[37] + (2*t[38])/3 - 
       (4*t[39])/3 + (5*t[40])/3 + t[41]/6 - t[42]/6 - (37*t[43])/12 + 
       (2*t[44])/3 + (8*t[45])/3 - t[46] + 9*t[47] - (29*t[48])/6 + t[49]/3 - 
       (3*t[50])/2 + (5*t[51])/4 - t[52]/2 - t[53]/3 - (5*t[54])/2 - 
       2*t[59] + (20*t[60])/3 + (106*t[61])/3 - (589*t[62])/12 - 
       (133*t[63])/12 + (61*t[64])/4 + (823*t[65])/36 - (1483*t[66])/36 - 
       2*t[69] - 4*t[74] - (7*t[76])/3 - t[77] + (4*t[78])/3 - (23*t[80])/3 + 
       t[81] - (3*t[82])/2 + t[83] + (16*t[85])/3 + 19*t[86] - (5*t[87])/3 - 
       (5*t[88])/6 + (15*t[89])/2 - t[97]/3 - 16*t[98] + 18*t[99] - 
       7*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-8*t[1])/9 + (403*t[2])/72 + (4037*t[3])/576 - 
       (7*t[4])/6 + (4051*t[5])/288 - (3301*t[6])/1152 - (431*t[7])/48 - 
       (1409*t[8])/72 - (819*t[9])/64 - (203*t[10])/24 + (15053*t[11])/1152 + 
       (1229*t[12])/288 + (17771*t[13])/1728 - (17483*t[14])/3456 + 
       (13577*t[15])/2592 + t[19] - t[20]/2 + t[22]/2 + (3*t[28])/2 - 
       (191*t[29])/72 + (1169*t[30])/144 - (4*t[31])/9 - (113*t[32])/48 + 
       (65*t[33])/48 - (13*t[34])/72 - 2*t[35] + t[36]/6 - (4*t[37])/3 - 
       (31*t[38])/36 - (83*t[39])/72 - t[40]/72 - (13*t[43])/18 - 
       (49*t[44])/72 - (77*t[45])/36 + (19*t[47])/36 - (1619*t[48])/1152 - 
       (119*t[49])/72 + (391*t[50])/384 + (35*t[51])/144 + (811*t[52])/1152 + 
       (47*t[53])/72 - (12341*t[54])/1152 - (53*t[59])/144 - 
       (11779*t[60])/576 - (3983*t[61])/576 - (563*t[62])/1152 - 
       (7949*t[63])/1152 + (17917*t[64])/1152 - (22793*t[65])/1728 - 
       (46979*t[66])/1728 - (4*t[69])/3 - t[72]/6 + 2*t[73] - (65*t[74])/12 + 
       t[75]/6 + (65*t[76])/36 + (29*t[77])/36 + (155*t[78])/18 + 
       (7*t[79])/24 - (7*t[80])/3 + (317*t[81])/72 - (7*t[82])/36 - 
       (11*t[83])/3 - (11125*t[84])/576 - (11333*t[85])/576 + 
       (1091*t[86])/72 + (631*t[87])/64 - (393*t[88])/128 - 
       (22673*t[89])/1152 - (3*t[96])/2 - (25*t[97])/36 + (5*t[98])/3 + 
       t[99]/3 - (83*t[100])/12) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^3*
      (-2*t[98] + t[99] - (41*t[100])/6) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^3*((-7*t[59])/24 - (683*t[60])/96 - (857*t[61])/96 - 
       (31*t[62])/64 - (155*t[63])/192 - (937*t[64])/192 - (2041*t[65])/96 + 
       (193*t[66])/32 - t[67]/12 - t[68]/4 + t[70] - t[71] + t[72]/3 - 
       (2*t[73])/3 + (20*t[74])/3 + t[75]/6 - (3*t[76])/2 - (43*t[78])/12 + 
       (3*t[79])/4 - (19*t[80])/3 - 3*t[81] + t[82]/3 + (11*t[83])/6 - 
       (629*t[84])/96 - (277*t[85])/96 - (7*t[86])/3 + (1061*t[87])/96 + 
       (1061*t[88])/192 - (1129*t[89])/192 - t[91]/72 - t[92]/12 - t[93]/6 + 
       t[94]/12 - (3*t[97])/4 - 2*t[98] + t[99] - (41*t[100])/6) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((1415*t[60])/144 - (103*t[61])/16 + (21*t[62])/16 + (853*t[63])/144 - 
       (655*t[64])/288 + (2351*t[65])/432 - (1523*t[66])/432 - (5*t[69])/6 - 
       (7*t[72])/9 + (5*t[73])/6 + (5*t[75])/12 + (7*t[78])/3 + t[79]/6 + 
       (115*t[81])/72 - (59*t[82])/72 - (100*t[83])/9 + (53*t[84])/18 + 
       (205*t[85])/144 + t[86] - (1225*t[87])/144 - (1225*t[88])/288 + 
       (731*t[89])/288 - (20*t[100])/3) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*((-5*t[1])/6 + (29*t[2])/16 - 
       (271*t[3])/64 - (111*t[4])/32 - (8123*t[5])/384 + (179*t[6])/96 + 
       (4147*t[7])/192 - (239*t[8])/192 + (4121*t[9])/128 - (569*t[10])/192 + 
       (3175*t[11])/192 + (4787*t[12])/384 + (4297*t[13])/432 + 
       (2169*t[14])/128 - (18233*t[15])/2304 + t[19] - t[21] - 
       (17*t[22])/24 + t[23] - (5*t[27])/6 - (3*t[28])/2 + (5*t[29])/6 - 
       (5*t[30])/12 + (19*t[31])/6 + (5*t[32])/6 - (5*t[33])/6 + 
       (10*t[34])/3 + (22*t[35])/3 - (17*t[37])/6 - (5*t[38])/6 - t[39]/6 - 
       (25*t[40])/12 + (29*t[41])/48 - (29*t[42])/48 - (223*t[43])/96 + 
       t[44] - (5*t[45])/48 - (19*t[46])/24 + (127*t[47])/24 - 
       (119*t[48])/32 + (17*t[49])/96 + (33*t[50])/32 + (25*t[51])/192 + 
       (47*t[52])/32 - (17*t[53])/96 + (97*t[54])/32 - t[59]/48 + 
       (229*t[60])/24 + (1133*t[61])/24 - (589*t[62])/12 + (493*t[63])/48 - 
       (89*t[64])/16 + (3199*t[65])/288 - (12775*t[66])/288 - (5*t[69])/6 + 
       t[73]/6 - (13*t[74])/6 - (2*t[75])/3 + (35*t[76])/12 + (25*t[77])/24 - 
       (5*t[78])/3 - 2*t[79] - (4*t[80])/3 + (8*t[81])/3 - (9*t[82])/2 + 
       (11*t[83])/4 - (3*t[84])/4 + (151*t[85])/24 + (113*t[86])/6 - 
       (197*t[87])/24 - (197*t[88])/48 - (109*t[89])/48 + (5*t[97])/12 + 
       (55*t[98])/2 - (51*t[99])/2 - (25*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-14*t[60] + 15*t[61] - (9*t[62])/2 - (77*t[63])/2 + 2*t[64] - 
       (100*t[65])/3 - (49*t[66])/3 + t[72] + 3*t[73] - 15*t[75] - 9*t[78] - 
       2*t[81] - 2*t[82] + 22*t[83] - 7*t[84] + 2*t[85] + 13*t[87] + 
       (13*t[88])/2 - 7*t[89] - 6*t[100]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1, 1}, 1 - w]*(7*t[61] - (7*t[62])/4 - (21*t[63])/4 + 
       (3*t[64])/2 - t[65]/6 - (23*t[66])/6 + t[83] + t[84]/2 - t[85]/2 + 
       2*t[86] + t[87]/2 + t[88]/4 - (3*t[89])/2 - 6*t[100]) + 
     B10[w, u, v]*HPL[{1}, 1 - v]*(5*t[60] + t[61] - (3*t[62])/2 - 
       (5*t[63])/2 - (5*t[64])/2 + (7*t[65])/3 - 4*t[66] + 2*t[81] - 
       2*t[82] - 2*t[83] + t[84] + 2*t[85] - 4*t[87] - 2*t[88] + 
       (3*t[89])/2 - 6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Omega2[v, w, u]*((31*t[60])/3 + (3*t[61])/2 - 
       (47*t[62])/24 + (101*t[63])/8 - (85*t[64])/6 + (52*t[65])/3 + 
       (5*t[66])/6 + 2*t[69] - (2*t[72])/3 - 2*t[73] + t[74] + 7*t[75] + 
       5*t[78] - (5*t[79])/2 + (17*t[81])/6 - (13*t[82])/6 - (83*t[83])/6 + 
       (19*t[84])/4 + t[85]/3 - (11*t[86])/6 - (23*t[87])/2 - (23*t[88])/4 + 
       (25*t[89])/12 - 6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Omega2[u, v, w]*((-4*t[60])/3 + (3*t[61])/2 - 
       (19*t[62])/24 - (119*t[63])/8 - (19*t[64])/3 - (8*t[65])/3 - 
       (77*t[66])/6 + (2*t[72])/3 + t[74] - 3*t[75] - t[78] + (3*t[79])/2 + 
       t[81]/6 - (5*t[82])/6 + (5*t[83])/6 - t[84]/4 + (5*t[85])/3 + 
       (41*t[86])/6 - (3*t[87])/2 - (3*t[88])/4 - (25*t[89])/12 + 4*t[99] - 
       6*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      (-t[1] + (21*t[2])/8 - (7*t[3])/2 - (25*t[4])/4 + (237*t[5])/16 + 
       (51*t[6])/4 - (283*t[7])/16 + (427*t[8])/16 - 21*t[9] + 
       (181*t[10])/16 - (133*t[11])/8 - (87*t[12])/16 - (119*t[13])/18 + 
       (229*t[14])/24 - (233*t[15])/144 - (5*t[22])/2 - (5*t[27])/2 + 
       5*t[28] - 2*t[29] + 2*t[30] + (5*t[31])/2 - t[32] + t[33] - 4*t[35] + 
       5*t[36] - (5*t[40])/2 + (5*t[41])/8 - (5*t[42])/8 + (7*t[43])/16 - 
       10*t[44] - (7*t[45])/8 - (5*t[46])/2 + (7*t[47])/8 + (123*t[48])/8 + 
       (41*t[49])/8 - (83*t[50])/8 - (55*t[51])/16 + (83*t[52])/8 - 
       (41*t[53])/8 - (29*t[54])/8 - t[56]/4 + t[57] - (3*t[59])/8 + 
       t[60]/8 - (5*t[61])/2 - (29*t[62])/16 - (31*t[63])/16 - 
       (47*t[64])/16 + (43*t[65])/24 + 5*t[66] - (3*t[77])/4 - 2*t[80] - 
       t[82]/8 + (11*t[86])/4 + t[89] + 12*t[98] - 30*t[99] - 
       (11*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      (-6*t[1] - (45*t[2])/8 + (79*t[3])/8 + (129*t[4])/4 - (209*t[5])/8 - 
       (111*t[6])/16 + (5*t[7])/2 - (5*t[8])/4 + (63*t[9])/4 - (91*t[10])/4 - 
       (143*t[11])/16 + (15*t[12])/2 - (385*t[13])/144 - (517*t[14])/48 - 
       (68*t[15])/3 + t[16] + (11*t[25])/2 - 3*t[26] - (3*t[27])/2 - 
       4*t[28] + (5*t[29])/2 + t[30]/4 + (7*t[31])/2 + t[32] - t[33] - 
       t[34] + (21*t[35])/2 - 5*t[36] + 6*t[37] - (5*t[38])/2 - (3*t[39])/4 - 
       (3*t[40])/4 - 6*t[43] + (7*t[44])/8 - (25*t[45])/4 - 7*t[46] + 
       (27*t[47])/2 + (11*t[48])/16 + (161*t[49])/8 - (23*t[50])/16 - 
       (33*t[51])/8 + (23*t[52])/16 - (169*t[53])/8 - (77*t[54])/16 + 
       (51*t[59])/8 + (485*t[60])/16 - (1179*t[61])/16 - (2603*t[62])/32 + 
       (1899*t[63])/32 + (3143*t[64])/32 - (825*t[65])/16 + (747*t[66])/16 - 
       t[67] - 5*t[68] + 4*t[70] - 4*t[71] - t[72]/2 - 18*t[75] + 
       (57*t[76])/8 - 5*t[77] + (81*t[78])/8 + 15*t[79] - 56*t[80] - 
       (13*t[81])/4 - (19*t[82])/2 + (91*t[83])/2 + (347*t[84])/16 + 
       (259*t[85])/16 + (255*t[86])/2 - (1095*t[87])/16 - (1095*t[88])/32 - 
       (161*t[89])/32 + t[91]/12 - t[92] + t[93] + t[94] + 4*t[97] + 
       12*t[98] - 30*t[99] - (11*t[100])/2) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*((-21*t[1])/8 + (383*t[2])/48 - 
       (1099*t[3])/128 - (1607*t[4])/192 - (19571*t[5])/768 - 
       (3475*t[6])/576 + (2325*t[7])/128 - (1483*t[8])/384 + 
       (25967*t[9])/768 - (12767*t[10])/384 + (1535*t[11])/384 + 
       (4613*t[12])/256 - (2363*t[13])/192 + (107*t[14])/256 - 
       (26155*t[15])/1536 - t[18]/36 - t[20] + (5*t[22])/48 - t[27]/12 - 
       t[28]/12 + t[29]/12 - (5*t[30])/24 + (9*t[31])/4 - (2*t[32])/3 - 
       t[33]/3 + t[34]/2 + (5*t[35])/4 - t[37]/2 - t[38]/3 + (5*t[39])/12 - 
       (5*t[40])/6 + (139*t[41])/32 - (1195*t[42])/288 + (1447*t[43])/192 + 
       (4*t[44])/3 + (203*t[45])/96 + (13*t[46])/12 + (99*t[47])/16 + 
       (425*t[48])/192 - (95*t[49])/16 - (551*t[50])/192 + (245*t[51])/96 + 
       (743*t[52])/192 + (95*t[53])/16 + (1871*t[54])/192 - (281*t[59])/288 - 
       (65*t[60])/32 - (189*t[61])/32 - (83*t[62])/8 - (61*t[63])/2 + 
       (6533*t[64])/64 + (1249*t[65])/576 - (1927*t[66])/192 - (25*t[69])/4 + 
       2*t[70] - 2*t[71] - t[72] - (19*t[73])/24 - (8*t[74])/3 + t[75]/24 + 
       t[76]/2 + (19*t[77])/16 - t[78]/2 + (193*t[79])/48 + (119*t[80])/8 - 
       (41*t[81])/48 + (25*t[82])/16 + t[83]/6 - (101*t[84])/48 - 
       (341*t[85])/96 + (2675*t[86])/48 + (1589*t[87])/96 + 
       (1589*t[88])/192 + (3845*t[89])/192 + t[97]/6 + (11*t[98])/2 - 
       (11*t[99])/2 - (21*t[100])/4) + HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - w]*((-11*t[1])/2 + (34*t[2])/3 - (1835*t[3])/96 - 
       (1717*t[4])/48 - (15337*t[5])/192 + (757*t[6])/48 + (2503*t[7])/32 + 
       (2023*t[8])/96 + (30461*t[9])/192 + (2771*t[10])/96 + 
       (2149*t[11])/96 + (11645*t[12])/192 + (2513*t[13])/432 + 
       (5385*t[14])/64 - (13073*t[15])/384 - (25*t[22])/12 - (8*t[27])/3 + 
       (14*t[28])/3 + (8*t[29])/3 - (5*t[30])/2 + (38*t[31])/3 + 
       (14*t[32])/3 - (14*t[33])/3 + (56*t[34])/3 + (61*t[35])/3 - 
       (19*t[37])/3 - (14*t[38])/3 + 7*t[39] - (35*t[40])/3 + (11*t[41])/24 - 
       (11*t[42])/24 - (273*t[43])/16 - (7*t[44])/3 - t[45]/8 - 
       (20*t[46])/3 + (263*t[47])/12 - (385*t[48])/48 + (23*t[49])/3 + 
       (13*t[50])/16 - (35*t[51])/12 + (211*t[52])/16 - (23*t[53])/3 + 
       (195*t[54])/16 - (137*t[59])/24 + (1043*t[60])/24 + (3829*t[61])/24 - 
       (8501*t[62])/48 + (1379*t[63])/16 - (699*t[64])/16 + (3031*t[65])/48 - 
       (3995*t[66])/48 - (19*t[69])/3 - (41*t[73])/6 - (38*t[74])/3 + 
       (41*t[75])/6 + (49*t[76])/3 + (59*t[77])/12 - (28*t[78])/3 - 
       (87*t[80])/2 + (95*t[81])/12 - (37*t[82])/4 + 14*t[83] - 
       (23*t[84])/2 + (235*t[85])/8 + (82*t[86])/3 - (295*t[87])/8 - 
       (295*t[88])/16 - (121*t[89])/48 + (7*t[97])/3 + 154*t[98] - 
       154*t[99] - 5*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((-3*t[3])/4 - t[4] + t[5]/8 + 
       t[6]/2 + (3*t[7])/4 + (9*t[8])/4 + (3*t[9])/8 + (5*t[10])/4 + 
       (3*t[11])/4 + (19*t[12])/8 + t[13]/4 + (59*t[14])/24 + (9*t[15])/16 - 
       t[22]/2 - t[29] - (85*t[60])/12 + 4*t[61] + (37*t[62])/4 - 
       (167*t[63])/12 - (53*t[64])/12 - (619*t[65])/36 + (277*t[66])/36 - 
       2*t[69] - (4*t[72])/3 + 2*t[75] - (7*t[81])/3 + (13*t[82])/6 - 
       t[83]/3 + (4*t[84])/3 - (19*t[85])/6 + 4*t[86] + (25*t[87])/6 + 
       (25*t[88])/12 - (79*t[89])/24 - 2*t[99] - 5*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (-t[1]/36 + (29*t[2])/18 - (119*t[3])/72 + t[4]/36 - (7*t[5])/8 + 
       (133*t[6])/72 + (89*t[7])/36 - (11*t[8])/36 + (163*t[9])/72 - 
       (71*t[10])/72 - (13*t[11])/8 + t[12]/9 - (155*t[13])/648 + 
       (271*t[14])/432 - (1249*t[15])/648 + (2*t[23])/9 + (11*t[29])/18 - 
       (2*t[30])/3 - (5*t[32])/18 + (5*t[33])/9 - t[34]/6 - t[39]/9 + 
       t[40]/3 - t[41]/36 + t[42]/36 + (3*t[44])/4 - (5*t[45])/18 + 
       (5*t[47])/18 + (53*t[48])/72 - t[49]/72 + (25*t[50])/72 + t[51]/144 - 
       (61*t[52])/72 + t[53]/72 + (41*t[54])/24 - (11*t[59])/36 + 
       (20*t[60])/9 - t[61]/12 + (29*t[62])/36 - (43*t[63])/12 - 
       (28*t[64])/9 + (3*t[65])/2 + (5*t[66])/108 + (4*t[70])/9 - 
       (4*t[71])/9 + t[74]/9 + (2*t[76])/9 - t[77]/18 - t[78]/18 + t[80]/9 + 
       t[81]/9 + t[82]/18 + (55*t[84])/36 + (23*t[85])/18 - (19*t[87])/18 + 
       (11*t[88])/18 + (95*t[89])/72 - (2*t[95])/9 - t[97]/18 + (4*t[98])/3 - 
       (4*t[99])/3 - 5*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      Omega2[u, v, w]*(2*t[99] - 5*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*((11*t[60])/4 + (5*t[61])/4 - 
       (25*t[62])/4 - (7*t[63])/4 - (151*t[64])/8 + (67*t[65])/12 - 
       (35*t[66])/4 - t[69] - t[72] + t[75] + 2*t[78] - 2*t[79] + 3*t[80] + 
       (3*t[81])/2 - (5*t[82])/2 + (9*t[83])/2 + t[84] + (11*t[85])/4 + 
       10*t[86] - (11*t[87])/4 - (11*t[88])/8 + (3*t[89])/8 + 2*t[99] - 
       5*t[100]) + HPL[{0, 1}, 1 - v]*M1[w, v, u]*(-t[1]/6 + (2*t[2])/3 + 
       (71*t[3])/12 - 3*t[4] - (5*t[5])/24 - (61*t[6])/24 - (23*t[7])/4 - 
       (91*t[8])/12 - (83*t[9])/8 - (25*t[10])/4 - (85*t[11])/24 - 
       (103*t[12])/24 + (4*t[13])/9 - (439*t[14])/36 - (155*t[15])/432 - 
       t[29]/3 - t[30]/3 - t[31]/3 - t[32] + t[33] - (5*t[34])/3 - t[37] + 
       t[38]/6 - (5*t[39])/6 + (4*t[40])/3 - t[41]/2 + t[42]/2 - t[43]/6 + 
       (7*t[44])/3 + (7*t[45])/3 - (8*t[47])/3 - (23*t[48])/24 - 
       (23*t[49])/6 + (19*t[50])/8 + (13*t[51])/6 - (65*t[52])/24 + 
       (11*t[53])/6 - (17*t[54])/24 - (2*t[59])/3 - (25*t[60])/3 - 7*t[61] + 
       (149*t[62])/12 + (9*t[63])/4 + (16*t[64])/3 + (247*t[65])/18 + 
       (20*t[66])/3 - t[69] + 2*t[72] - (19*t[76])/3 - (4*t[77])/3 + 
       (19*t[78])/3 - 2*t[80] - (2*t[81])/3 + (2*t[82])/3 + t[83]/2 + 
       (35*t[84])/6 + (19*t[85])/6 + (16*t[86])/3 + (13*t[87])/2 + 
       (13*t[88])/4 - t[89]/6 - 3*t[96] - (7*t[97])/3 - 40*t[98] + 40*t[99] - 
       5*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      (t[1]/12 + (5*t[2])/3 + (163*t[3])/384 + (17*t[4])/16 + 
       (731*t[5])/192 + (1981*t[6])/768 - (189*t[7])/32 + (197*t[8])/48 - 
       (427*t[9])/128 + (9*t[10])/32 - (485*t[11])/768 - (53*t[12])/192 + 
       (2213*t[13])/1152 + (1271*t[14])/2304 + (221*t[15])/216 + 
       (3*t[28])/4 + (17*t[29])/48 - (29*t[30])/96 - (7*t[31])/12 - 
       (19*t[32])/32 + (19*t[33])/32 + t[34]/48 - (3*t[35])/2 - (3*t[36])/4 - 
       t[37]/2 - t[38]/12 - t[39]/48 - (5*t[40])/48 - t[41]/8 + t[42]/8 - 
       (13*t[43])/24 - (83*t[44])/48 - (7*t[45])/24 - t[47]/24 + 
       (1019*t[48])/768 + (73*t[49])/96 - (527*t[50])/256 - (85*t[51])/192 + 
       (1709*t[52])/768 - (73*t[53])/96 + (509*t[54])/768 + (17*t[59])/96 + 
       (1135*t[60])/384 + (59*t[61])/384 + (15509*t[62])/2304 - 
       (2693*t[63])/2304 - (32035*t[64])/2304 + (6151*t[65])/3456 - 
       (9379*t[66])/3456 - t[69]/4 + t[72]/4 + (5*t[74])/8 - t[75]/4 + 
       (19*t[76])/24 + (13*t[77])/24 - (7*t[78])/6 + (13*t[79])/16 - 
       (3*t[80])/4 + (41*t[81])/48 + t[82]/12 - (169*t[83])/72 + 
       (635*t[84])/1152 + (835*t[85])/1152 - (949*t[86])/144 - 
       (6521*t[87])/1152 - (6521*t[88])/2304 - (3889*t[89])/2304 + t[97]/24 + 
       (7*t[98])/2 - (7*t[99])/2 - (14*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2*
      (-t[99] - (37*t[100])/8) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]^2*(-t[59]/2 + (57*t[60])/16 + (101*t[61])/16 + 
       (607*t[62])/96 + (473*t[63])/96 - (1373*t[64])/96 + (1193*t[65])/144 + 
       (59*t[66])/18 - t[67]/8 + (23*t[74])/4 + t[75]/2 + t[78]/2 - 
       (13*t[79])/4 + (17*t[80])/4 + (5*t[81])/4 - t[82]/4 - (19*t[83])/6 + 
       (4*t[84])/3 + (19*t[85])/24 - (95*t[86])/6 - (95*t[87])/24 - 
       (95*t[88])/48 - (185*t[89])/96 - t[99] - (37*t[100])/8) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - u]*((61*t[1])/36 - (17*t[2])/12 - 
       (99*t[3])/16 - (45*t[4])/4 + (1297*t[5])/96 + (151*t[6])/16 + 
       (41*t[7])/24 + (377*t[8])/24 - (1031*t[9])/96 + (593*t[10])/48 + 
       (83*t[11])/12 - (475*t[12])/96 + (131*t[13])/18 + (203*t[14])/24 + 
       (4957*t[15])/576 + t[21]/2 - t[23]/2 - t[40] + t[41]/4 - t[42]/4 + 
       (275*t[43])/48 + t[44]/3 + t[45]/24 + t[46]/4 - (37*t[47])/12 + 
       (79*t[48])/48 + (13*t[49])/48 - (85*t[50])/48 - (35*t[51])/96 + 
       (85*t[52])/48 - (13*t[53])/48 + (17*t[54])/16 + (8*t[59])/9 - 
       (7*t[60])/6 + (4583*t[61])/144 - (4853*t[62])/576 + (293*t[63])/64 + 
       (53*t[64])/4 - (1007*t[65])/864 - (26443*t[66])/864 - (11*t[69])/6 + 
       (3*t[70])/4 - (3*t[71])/4 - t[72] + (2*t[73])/3 + t[74]/6 - t[75]/6 + 
       (2*t[76])/3 + (13*t[77])/3 - t[78]/6 + (5*t[79])/6 - (35*t[80])/3 + 
       (11*t[81])/12 - t[82]/2 - (109*t[83])/36 - (5*t[84])/36 + 
       (43*t[85])/72 - (721*t[86])/72 + (221*t[87])/72 + (221*t[88])/144 + 
       (71*t[89])/12 + 4*t[98] - 5*t[99] - (55*t[100])/12) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*
      ((-5*t[59])/2 + (35*t[60])/4 + (3*t[61])/4 + (113*t[62])/8 + 
       (657*t[63])/8 + (33*t[64])/8 - (437*t[65])/12 + (5*t[66])/3 - 
       16*t[74] - (51*t[79])/2 - 6*t[80] + 8*t[85] + (5*t[86])/2 - 8*t[87] - 
       4*t[88] + (47*t[89])/8 - (9*t[100])/2) + HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((205*t[1])/72 - (13*t[2])/24 - 
       (13*t[3])/48 - (17*t[4])/4 + (593*t[5])/32 + (277*t[6])/24 - 
       (3*t[7])/16 + (201*t[8])/16 - (2209*t[9])/96 - (1103*t[10])/48 + 
       (25*t[11])/16 - (553*t[12])/32 + (2887*t[13])/432 - (263*t[14])/32 + 
       (4229*t[15])/576 + t[21] - t[23] - (3*t[31])/2 - t[40]/2 - 
       (7*t[41])/6 + (7*t[42])/6 + (41*t[43])/6 - (2*t[44])/3 - 
       (65*t[45])/24 - (3*t[46])/4 + (17*t[47])/12 + (77*t[48])/24 - 
       (35*t[49])/24 - (35*t[50])/24 + (25*t[51])/24 + (35*t[52])/24 + 
       (35*t[53])/24 + (3*t[54])/8 - (25*t[59])/72 - (37*t[60])/48 - 
       (163*t[61])/48 + (7*t[62])/48 - (745*t[63])/48 + (1745*t[64])/32 - 
       (31*t[65])/144 - (779*t[66])/144 - 3*t[69] + t[70] - t[71] - t[72]/2 - 
       t[73]/3 - t[74]/3 - t[75]/6 - t[76]/3 + t[77]/2 - t[78]/6 + 
       (25*t[79])/24 + (47*t[80])/6 - (11*t[81])/24 + t[82]/8 - t[83]/3 - 
       (11*t[84])/12 - (27*t[85])/16 + (161*t[86])/8 + (473*t[87])/48 + 
       (473*t[88])/96 + (1175*t[89])/96 - 2*t[98] + 2*t[99] - (9*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u]*
      ((111*t[60])/8 - 36*t[61] - (49*t[62])/4 - (123*t[63])/2 + 
       (39*t[64])/8 + (125*t[65])/12 - (455*t[66])/24 - 6*t[69] + 2*t[72] + 
       6*t[73] - 14*t[75] - 6*t[78] + (17*t[79])/4 + 2*t[81] - 4*t[82] - 
       (19*t[83])/4 + t[84]/2 + (15*t[85])/2 + (93*t[86])/4 - (33*t[87])/2 - 
       (33*t[88])/4 + (57*t[89])/8 + 3*t[99] - (9*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((39*t[60])/2 - 16*t[61] - (27*t[62])/4 + (15*t[63])/4 - 9*t[64] + 
       (51*t[65])/2 - 2*t[66] + 6*t[69] - 27*t[83] + (9*t[84])/2 + 
       (15*t[85])/2 - 6*t[86] - (45*t[87])/2 - (45*t[88])/4 + (15*t[89])/2 + 
       3*t[99] - (9*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v]*((21*t[2])/8 + (83*t[3])/32 - t[4]/4 + 
       (139*t[5])/32 - (3*t[6])/4 + (19*t[7])/8 - (9*t[8])/8 - (33*t[9])/32 - 
       (49*t[10])/16 + (33*t[11])/8 + (21*t[12])/32 + (9*t[13])/8 - t[14] + 
       (19*t[15])/9 - t[20]/2 + t[22]/2 + t[29]/8 + (3*t[30])/4 + t[31]/4 + 
       t[32]/8 - t[33]/4 - t[34]/2 - t[35] + (3*t[36])/4 - t[37]/4 - 
       t[41]/8 + t[42]/8 + (3*t[43])/8 + (13*t[44])/16 - t[46]/8 - t[47]/4 - 
       (9*t[48])/16 - (3*t[49])/4 + (17*t[50])/16 + (9*t[51])/32 - 
       (17*t[52])/16 + (3*t[53])/4 - (17*t[54])/8 - (3*t[59])/4 + 
       (217*t[60])/48 + (455*t[61])/72 + (1367*t[62])/144 - (47*t[63])/24 - 
       (773*t[64])/32 + (649*t[65])/432 - (475*t[66])/108 + t[69]/2 - t[70] + 
       t[71] - t[72]/2 + (9*t[74])/4 - (3*t[75])/4 - t[77]/4 - 
       (11*t[79])/16 + (13*t[80])/4 - (35*t[83])/36 - (71*t[84])/72 + 
       (17*t[85])/72 - (535*t[86])/144 - (317*t[87])/72 - (389*t[88])/144 - 
       (721*t[89])/96 + t[95]/2 + 2*t[99] - (53*t[100])/12) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^3*((4*t[1])/3 - (11*t[2])/3 + 
       (187*t[3])/96 + (335*t[4])/48 + (987*t[5])/64 - (21*t[6])/8 - 
       (1943*t[7])/96 - (193*t[8])/96 - (6937*t[9])/192 + (41*t[10])/32 - 
       (61*t[11])/96 - (1973*t[12])/192 + (2789*t[13])/864 - 
       (2951*t[14])/192 + (9599*t[15])/1152 + t[19]/2 - t[21]/2 + 
       (3*t[22])/4 + t[23]/2 + t[27]/6 - (5*t[28])/6 - t[29]/6 + 
       (7*t[30])/6 - 2*t[31] - (5*t[32])/3 + (5*t[33])/3 - (20*t[34])/3 - 
       2*t[35] + t[37]/2 + (5*t[38])/3 - (7*t[39])/3 + (25*t[40])/6 + 
       (19*t[41])/24 - (19*t[42])/24 + (43*t[43])/24 + t[44]/6 + 
       (37*t[45])/24 + (3*t[46])/4 - (13*t[47])/4 + (71*t[48])/48 - 
       (5*t[49])/3 - (11*t[50])/16 + (27*t[51])/16 - (69*t[52])/16 + 
       (5*t[53])/3 - (53*t[54])/16 + (15*t[59])/8 - (73*t[60])/12 - 
       (227*t[61])/12 + (721*t[62])/24 - (545*t[63])/24 + (169*t[64])/16 - 
       (1571*t[65])/144 + (2351*t[66])/144 + (3*t[69])/2 + 2*t[74] - 
       (35*t[76])/6 - (5*t[77])/4 + (10*t[78])/3 + (25*t[80])/12 - 2*t[81] - 
       (9*t[82])/8 - (7*t[83])/4 + 3*t[84] - (113*t[85])/12 - (31*t[86])/4 + 
       (139*t[87])/12 + (139*t[88])/24 + (25*t[89])/8 - (5*t[97])/6 - 
       43*t[98] + 41*t[99] - (17*t[100])/4) + HPL[{1}, 1 - u]^4*
      HPL[{0, 1, 1}, 1 - v]*((-3*t[2])/8 + (7*t[3])/48 - (31*t[4])/24 - 
       (31*t[5])/24 - (283*t[6])/96 + (73*t[7])/12 + (55*t[8])/12 - 
       (113*t[9])/16 - (17*t[10])/16 + (61*t[11])/32 - (47*t[12])/48 - 
       (1015*t[13])/216 - (55*t[14])/36 + (2825*t[15])/432 - t[20]/2 - 
       (7*t[29])/24 + 5*t[30] - t[31] + (9*t[32])/8 - t[33]/2 - (7*t[35])/3 + 
       (5*t[40])/4 + t[43]/6 + (47*t[44])/24 - (205*t[48])/96 - 
       (11*t[49])/48 + (535*t[50])/96 + (11*t[51])/96 - (535*t[52])/96 + 
       (11*t[53])/48 - (223*t[54])/96 - (1427*t[60])/48 + (317*t[61])/16 - 
       (617*t[62])/96 + (2017*t[63])/96 + (1297*t[64])/96 + 
       (2435*t[65])/144 + (3017*t[66])/144 - t[69]/2 - t[72] + t[73]/6 - 
       t[74]/2 + (3*t[75])/2 - (13*t[76])/6 - (2*t[78])/3 + t[79]/6 + 
       (2*t[80])/3 - (43*t[81])/12 + t[82]/4 - (47*t[83])/12 - 
       (149*t[84])/48 - (143*t[85])/48 + (11*t[86])/2 + (755*t[87])/48 + 
       (253*t[88])/32 - (185*t[89])/96 + 4*t[98] - 5*t[99] - (25*t[100])/6) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((4*t[1])/9 - t[2]/36 - (13*t[3])/36 + t[4]/18 - (7*t[5])/9 - 
       (7*t[7])/8 - (173*t[8])/72 - t[9]/24 - (3*t[10])/8 + (17*t[11])/72 + 
       (7*t[12])/12 - (2825*t[13])/1296 + (61*t[14])/216 - (41*t[15])/144 + 
       (2*t[18])/9 - (4*t[21])/9 + t[22]/3 + (11*t[23])/9 - (4*t[24])/9 + 
       t[34]/9 - (25*t[41])/36 + (5*t[42])/18 + (49*t[43])/72 + 
       (31*t[45])/36 + t[46]/18 - (4*t[47])/3 + t[48]/72 - t[49]/12 + 
       (17*t[50])/72 + t[51]/36 - t[52]/72 + t[53]/12 - t[54]/8 + t[58]/18 + 
       (41*t[59])/36 + (17*t[60])/48 + (433*t[61])/144 + (211*t[62])/18 + 
       (319*t[63])/72 - (851*t[64])/288 - (2381*t[65])/432 - 
       (431*t[66])/432 + (2*t[70])/9 - (2*t[71])/9 + (23*t[74])/36 + 
       (5*t[76])/18 - t[78]/9 - (4*t[79])/3 + t[80]/9 + (7*t[81])/24 - 
       (13*t[82])/72 - (17*t[83])/18 + t[84]/36 + (151*t[85])/144 - 
       (449*t[86])/36 + (17*t[87])/144 + (17*t[88])/288 - (73*t[89])/288 + 
       (4*t[98])/3 - (4*t[99])/3 - (25*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*((7*t[2])/6 + t[3]/6 + 
       t[13]/18 - (127*t[15])/36 - (5*t[59])/6 + t[62]/2 - t[63]/2 + 
       t[64]/6 + (17*t[65])/3 - (2*t[66])/9 - (10*t[88])/3 - 4*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*((-11*t[1])/2 - t[2]/6 - 
       (15*t[4])/2 - t[5]/2 - (9*t[6])/2 - t[7]/6 + t[8]/6 + t[9]/3 - 
       t[10]/6 + (17*t[12])/2 - (209*t[13])/36 + (47*t[14])/9 - (2*t[15])/9 + 
       (5*t[42])/6 - t[43]/2 + (2*t[59])/3 + (55*t[61])/6 + (59*t[62])/8 + 
       (95*t[63])/24 - (4*t[64])/3 - (91*t[65])/12 - (161*t[66])/36 - 
       2*t[79] - (4*t[83])/3 - (2*t[84])/3 + (2*t[85])/3 - (35*t[86])/3 + 
       (4*t[87])/3 + (2*t[88])/3 - (3*t[89])/2 - 4*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Ot[u, v, w]*((15*t[60])/4 + 
       (21*t[61])/4 + (16*t[62])/3 + (37*t[63])/6 - (205*t[64])/24 + 
       (37*t[65])/36 - (49*t[66])/36 + t[74] - 2*t[79] + t[81]/2 - t[82]/2 - 
       (4*t[83])/3 + (2*t[84])/3 + (13*t[85])/12 - (35*t[86])/3 - 
       (29*t[87])/12 - (29*t[88])/24 + (17*t[89])/24 - 4*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((-5*t[59])/6 + (15*t[60])/4 - (9*t[61])/4 + (11*t[62])/24 + 
       (71*t[63])/24 - (17*t[64])/6 + (121*t[65])/12 + (31*t[66])/12 - 
       t[67]/12 - (2*t[72])/3 - t[73]/2 + (13*t[74])/6 + (5*t[75])/2 + 
       (3*t[78])/2 + (13*t[79])/12 + (5*t[81])/6 - (2*t[82])/3 - 
       (14*t[83])/3 + (23*t[84])/12 + (5*t[85])/12 - (9*t[86])/4 - 
       (53*t[87])/12 - (53*t[88])/24 + (49*t[89])/24 - 4*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      ((7*t[60])/2 - 12*t[61] - (47*t[62])/8 + (103*t[63])/8 + (57*t[64])/4 + 
       (15*t[65])/2 + 14*t[66] - 2*t[69] - 2*t[72] - 3*t[74] + 3*t[75] + 
       t[78] + (5*t[79])/2 - t[81]/2 + t[82]/2 - (7*t[83])/2 + (9*t[84])/4 - 
       (3*t[85])/2 + (25*t[86])/2 - 2*t[87] - t[88] + (11*t[89])/2 - 
       4*t[100]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((43*t[2])/8 - (655*t[3])/48 + (31*t[4])/12 - (59*t[5])/12 - 
       (323*t[6])/96 + (149*t[7])/8 - (133*t[8])/6 + (671*t[9])/48 + 
       t[10]/2 + (571*t[11])/96 - (3*t[12])/8 + (89*t[13])/54 + 
       (827*t[14])/96 + (383*t[15])/216 - t[20] + (3*t[28])/2 - 
       (25*t[29])/6 + (49*t[30])/12 - t[31]/2 + t[32]/4 + t[33] + 
       (10*t[34])/3 - (13*t[35])/3 - t[36]/2 + (5*t[40])/8 - t[43]/3 + 
       (25*t[44])/4 - (1157*t[48])/96 + (11*t[49])/24 + (245*t[50])/32 - 
       (11*t[51])/48 - (245*t[52])/32 - (11*t[53])/24 - (419*t[54])/96 - 
       (5*t[59])/3 + (319*t[60])/48 + (803*t[61])/48 - (371*t[62])/32 + 
       (241*t[63])/96 - (1357*t[64])/96 - (667*t[65])/144 - 
       (2825*t[66])/144 - t[69] - t[72]/2 + (7*t[73])/6 + t[74] + 
       (3*t[75])/2 - (17*t[76])/12 + t[77]/2 + (5*t[78])/6 - (5*t[79])/6 - 
       (4*t[80])/3 + t[81]/2 - t[82]/2 - (47*t[83])/6 + (63*t[84])/16 + 
       (59*t[85])/16 - (5*t[86])/2 + (127*t[87])/16 + (361*t[88])/96 - 
       (383*t[89])/96 - 2*t[98] + 2*t[99] - 4*t[100]) + 
     HPL[{0, 1}, 1 - v]*M1[v, u, w]*((2*t[1])/3 + (37*t[2])/12 + 
       (43*t[3])/12 + t[4]/4 + t[5]/12 - (41*t[6])/24 - 5*t[7] + 
       (16*t[8])/3 - (27*t[9])/4 - (3*t[10])/8 - (47*t[11])/24 - 
       (83*t[12])/24 + (65*t[13])/36 - (1109*t[14])/144 - (107*t[15])/54 - 
       t[20] + t[22] + (7*t[29])/3 + t[30]/3 - (2*t[31])/3 - (4*t[34])/3 - 
       t[37] + t[38]/3 + t[39]/3 + t[40]/6 - t[43]/3 - t[44]/3 + 
       (7*t[45])/6 - (5*t[47])/6 + (29*t[48])/24 - (7*t[49])/24 - 
       (17*t[50])/8 + (19*t[51])/48 + (35*t[52])/24 + (7*t[53])/24 - 
       (7*t[54])/24 - (13*t[59])/12 - (31*t[60])/6 - (3*t[61])/2 - 
       (5*t[62])/12 - (39*t[63])/4 + (41*t[64])/3 + (16*t[65])/9 - 8*t[66] - 
       2*t[69] + t[72] - (7*t[76])/6 - t[77]/6 + (2*t[78])/3 + t[80] - 
       (5*t[81])/6 + (5*t[82])/6 + t[83] - t[84]/3 - (7*t[85])/6 + 
       (14*t[86])/3 + 6*t[87] + 3*t[88] + (2*t[89])/3 - t[97]/6 - 8*t[98] + 
       8*t[99] - 4*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((13*t[60])/3 - (31*t[61])/8 - 
       (55*t[62])/12 - (13*t[63])/2 + (95*t[64])/48 + (21*t[65])/4 - 
       (679*t[66])/72 + 4*t[73] - t[74]/2 - t[75] + (17*t[79])/12 + 
       (5*t[81])/3 - (5*t[82])/3 - (11*t[83])/12 + (11*t[84])/24 + 
       (67*t[85])/24 + (19*t[86])/4 - (101*t[87])/24 - (101*t[88])/48 + 
       (77*t[89])/48 + 2*t[99] - (23*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((10*t[60])/3 + t[61]/12 - (61*t[62])/16 - (43*t[63])/16 + 
       (23*t[64])/8 - (187*t[65])/24 - (853*t[66])/72 - (2*t[69])/3 - 
       2*t[74] - (7*t[75])/2 - 2*t[78] - (5*t[79])/3 - 2*t[80] + t[81]/6 - 
       (11*t[82])/3 + (31*t[83])/4 - (23*t[84])/12 + (19*t[85])/6 - 
       (7*t[86])/2 + (17*t[87])/6 + (17*t[88])/12 + (77*t[89])/24 + 2*t[99] - 
       (23*t[100])/6) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*((-3*t[59])/4 - (37*t[60])/8 + (169*t[61])/24 - 
       (127*t[62])/16 + (613*t[63])/48 + (479*t[64])/48 - (473*t[65])/36 + 
       (7*t[66])/72 + (3*t[69])/2 - t[72] - 3*t[74] + t[77]/2 - 5*t[79] + 
       4*t[80] - t[81]/4 + t[82]/4 - (11*t[83])/4 + (7*t[84])/24 - 
       (11*t[85])/3 - t[86] + (15*t[87])/4 + (15*t[88])/8 + (155*t[89])/48 - 
       (15*t[100])/4) + B6[u, v, w]*HPL[{1}, 1 - v]*
      ((5*t[61])/2 + (3*t[62])/8 - (19*t[63])/8 + (3*t[64])/2 - 
       (23*t[65])/12 - (55*t[66])/12 + t[72] + t[74] - t[77]/2 - t[79] + 
       2*t[80] + t[86] - (3*t[89])/2 - 3*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((3*t[60])/2 + 5*t[61] + (17*t[62])/8 + (3*t[63])/8 - t[64] - 
       (47*t[65])/12 - (217*t[66])/36 - t[79]/2 - (7*t[86])/2 - (5*t[89])/4 - 
       3*t[100]) + B6[w, u, v]*HPL[{1}, 1 - v]*(t[59]/2 + (17*t[60])/4 + 
       (7*t[61])/4 + (7*t[62])/4 + (7*t[63])/4 - (93*t[64])/8 + (7*t[65])/4 - 
       (5*t[66])/12 - 2*t[80] + t[81]/2 - t[82]/2 + t[84] + (3*t[85])/4 - 
       2*t[86] - (15*t[87])/4 - (15*t[88])/8 - (7*t[89])/8 - 3*t[100]) + 
     B5[w, v, u]*HPL[{1}, 1 - v]*(t[59]/2 + t[60]/2 + (7*t[61])/2 - 
       (5*t[62])/4 + (5*t[63])/4 + t[64]/4 - t[65]/6 - (5*t[66])/6 + t[83] - 
       (3*t[89])/4 - 3*t[100]) + B5[w, u, v]*HPL[{1}, 1 - v]*
      (t[59]/2 + t[60]/2 + (7*t[61])/2 - (9*t[62])/4 + t[63]/4 - 
       (3*t[64])/4 + (13*t[65])/6 - t[66]/2 + t[84] - t[85] + 2*t[86] + 
       t[89]/4 - 3*t[100]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]^2*
      (t[1]/4 - (3*t[2])/8 + (5*t[3])/64 + (207*t[4])/32 - (489*t[5])/128 - 
       (15*t[6])/32 - (551*t[7])/64 - (117*t[8])/64 + (53*t[9])/128 - 
       (177*t[10])/64 - (327*t[11])/64 - (323*t[12])/128 - (389*t[13])/144 - 
       (1271*t[14])/384 - (2059*t[15])/768 - t[22]/8 + (3*t[28])/2 - 
       (3*t[30])/4 - (5*t[31])/2 - (3*t[35])/2 + t[37]/2 + t[39]/2 - 
       t[41]/16 + t[42]/16 - (5*t[43])/32 - 2*t[44] - (23*t[45])/16 - 
       (3*t[46])/4 + (7*t[47])/8 + (65*t[48])/32 - t[49]/8 + t[50]/32 - 
       t[52]/32 + t[53]/8 + (7*t[54])/32 + (7*t[59])/16 - (47*t[60])/16 - 
       (169*t[61])/16 + (233*t[62])/32 - (109*t[63])/32 - (29*t[64])/32 - 
       (81*t[65])/32 + (791*t[66])/96 + t[69]/2 + t[73]/4 + t[74] - t[75]/4 + 
       (3*t[77])/8 - t[79]/2 + t[80]/2 - t[81]/8 - (3*t[82])/4 + 
       (3*t[83])/2 - t[84]/8 - (33*t[85])/16 - (7*t[86])/4 + (49*t[87])/16 + 
       (49*t[88])/32 + (9*t[89])/32 - 3*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      (-2*t[59] + (33*t[60])/4 + (39*t[61])/4 + (61*t[62])/4 + (53*t[63])/4 - 
       (169*t[64])/8 + (7*t[65])/12 - t[66]/12 + 3*t[74] - 6*t[79] + 
       (3*t[81])/2 - (3*t[82])/2 - t[83] + t[84]/2 + (19*t[85])/4 - 
       29*t[86] - (23*t[87])/4 - (23*t[88])/8 + (17*t[89])/8 - 3*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((51*t[60])/4 - (21*t[61])/4 + (17*t[62])/8 + (67*t[63])/8 - 
       (211*t[64])/8 + (55*t[65])/3 + (49*t[66])/6 + 3*t[74] - 6*t[79] + 
       (3*t[81])/2 - (3*t[82])/2 - 4*t[83] + 2*t[84] + (13*t[85])/4 - 
       11*t[86] - (53*t[87])/4 - (53*t[88])/8 + (23*t[89])/8 - 3*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[u, v, w]*
      ((22*t[60])/3 - 9*t[61] + (9*t[62])/4 + (89*t[63])/12 - (5*t[64])/6 + 
       (167*t[65])/18 + (47*t[66])/9 - 2*t[69] - (2*t[72])/3 + 4*t[75] + 
       2*t[78] + (4*t[81])/3 - (2*t[82])/3 - (20*t[83])/3 + (13*t[84])/6 + 
       t[85]/6 + 2*t[86] - (37*t[87])/6 - (37*t[88])/12 + (19*t[89])/6 - 
       3*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      (-t[1]/6 - (17*t[2])/12 - (155*t[3])/96 - (73*t[4])/48 - (11*t[5])/64 - 
       (7*t[6])/8 + (79*t[7])/96 + (329*t[8])/96 + (233*t[9])/192 + 
       (345*t[10])/32 + (953*t[11])/96 + (817*t[12])/192 + (8483*t[13])/864 + 
       (13*t[14])/192 - (679*t[15])/1152 - t[22]/4 + (2*t[27])/3 - t[28]/3 - 
       (2*t[29])/3 - t[30]/3 + 2*t[31] - t[32]/6 + (2*t[33])/3 - 
       (8*t[34])/3 + 3*t[35] - t[37] + (2*t[38])/3 - (5*t[39])/6 + 
       (5*t[40])/3 + t[41]/24 - t[42]/24 - (59*t[43])/24 + (2*t[44])/3 + 
       (55*t[45])/24 - (3*t[46])/4 + (15*t[47])/4 - (91*t[48])/48 + 
       (13*t[49])/48 - (9*t[50])/16 + (31*t[51])/32 - (23*t[52])/16 - 
       (13*t[53])/48 - (49*t[54])/16 - (9*t[59])/8 + (35*t[60])/12 + 
       (37*t[61])/3 - (835*t[62])/48 - (457*t[63])/48 + (3*t[64])/16 + 
       (1825*t[65])/144 - (1993*t[66])/144 - t[69] - 2*t[74] - (7*t[76])/3 - 
       (7*t[77])/4 + (4*t[78])/3 - (113*t[80])/12 - (7*t[82])/8 + t[83]/2 + 
       t[84]/4 + (19*t[85])/12 + (7*t[86])/4 + (19*t[87])/12 + 
       (19*t[88])/24 + (49*t[89])/8 - t[97]/3 + 35*t[98] - 40*t[99] - 
       3*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      (-t[1]/4 - (245*t[2])/36 + (1241*t[3])/128 - (403*t[4])/48 - 
       (309*t[5])/64 + (20825*t[6])/768 - (319*t[7])/32 + 32*t[8] - 
       (411*t[9])/128 - (469*t[10])/96 - (7963*t[11])/256 + (387*t[12])/64 - 
       (29213*t[13])/3456 - (17125*t[14])/2304 - (727*t[15])/108 + 
       (5*t[23])/6 + t[24] - (7*t[28])/4 - (13*t[29])/2 + (39*t[30])/32 - 
       (3*t[31])/4 - (779*t[32])/96 + (859*t[33])/96 + (15*t[34])/16 - 
       (17*t[35])/6 + (3*t[36])/2 - t[38]/4 - (3*t[39])/16 - (3*t[40])/16 - 
       t[41]/8 + t[42]/8 + (17*t[43])/24 + (577*t[44])/48 - (7*t[45])/8 + 
       (3*t[47])/8 + (6047*t[48])/768 - (137*t[49])/96 - (3299*t[50])/256 + 
       (101*t[51])/192 + (3427*t[52])/256 + (137*t[53])/96 + 
       (7731*t[54])/256 + (751*t[59])/288 + (2275*t[60])/384 - 
       (5441*t[61])/384 - (2249*t[62])/768 - (31447*t[63])/768 + 
       (18179*t[64])/768 + (21005*t[65])/1152 + (46303*t[66])/1152 - 
       (15*t[69])/4 + 2*t[70] - 2*t[71] - t[72]/2 + (7*t[73])/3 - 
       (73*t[74])/24 - (11*t[75])/12 - (41*t[76])/24 - (41*t[77])/24 - 
       3*t[78] - (13*t[79])/8 + (37*t[80])/12 - (95*t[81])/48 + 
       (23*t[82])/12 - (31*t[83])/8 + (583*t[84])/128 + (639*t[85])/128 + 
       (659*t[86])/24 + (2843*t[87])/128 + (8593*t[88])/768 + 
       (18305*t[89])/768 + t[97]/8 + 2*t[98] - 2*t[99] - 3*t[100]) + 
     B6[w, u, v]*HPL[{1}, 1 - u]*(-6*t[98] + 6*t[99] - 3*t[100]) + 
     B6[w, v, u]*HPL[{1}, 1 - v]*(t[59]/2 - (5*t[60])/4 + (19*t[61])/4 + 
       (13*t[62])/8 - t[63]/8 + (5*t[64])/8 - (8*t[65])/3 + t[66]/6 - t[73] + 
       t[75] - t[76] + t[78] - t[81]/2 + (3*t[82])/2 + t[83] - (7*t[85])/4 + 
       (7*t[87])/4 + (7*t[88])/8 - (13*t[89])/8 - 6*t[98] + 6*t[99] - 
       3*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      ((4*t[1])/3 - (4*t[2])/3 + (109*t[3])/24 + (11*t[4])/4 - (91*t[5])/12 - 
       (305*t[6])/48 + (43*t[7])/2 - (59*t[8])/6 + (69*t[9])/8 - 
       (27*t[10])/8 + (469*t[11])/48 - (37*t[12])/24 + (55*t[13])/24 - 
       (47*t[14])/18 - (187*t[15])/54 - 2*t[28] - t[29]/3 + (7*t[30])/6 + 
       (2*t[31])/3 + (5*t[32])/2 - (5*t[33])/2 - (5*t[34])/3 + 2*t[35] + 
       t[36] - 2*t[37] + (2*t[38])/3 + t[39]/6 + (5*t[40])/6 + (4*t[43])/3 + 
       (16*t[44])/3 + (7*t[45])/3 + t[46]/2 - (5*t[47])/3 - (259*t[48])/48 - 
       (11*t[49])/24 + (119*t[50])/16 + (53*t[51])/48 - (421*t[52])/48 + 
       (11*t[53])/24 - (169*t[54])/48 - t[59]/6 + (217*t[60])/24 + 
       (123*t[61])/8 - (997*t[62])/48 + (7*t[63])/16 + (373*t[64])/48 - 
       (599*t[65])/72 - (325*t[66])/24 - 2*t[69] - 2*t[74] + 2*t[75] - 
       (13*t[76])/3 - (7*t[77])/3 + (22*t[78])/3 - 4*t[79] + 6*t[80] + 
       t[81]/3 - t[82]/3 + (9*t[83])/2 + (41*t[84])/24 + (37*t[85])/24 + 
       (64*t[86])/3 + (35*t[87])/8 + (35*t[88])/16 - (137*t[89])/48 - 
       t[97]/3 - 16*t[98] + 16*t[99] - 3*t[100]) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((-45*t[1])/4 - (105*t[2])/8 + (75*t[3])/2 + 
       (91*t[4])/4 + (427*t[5])/16 - (191*t[6])/8 - (1161*t[7])/16 - 
       (1155*t[8])/16 - (439*t[9])/4 + (1135*t[10])/16 - 80*t[11] - 
       (441*t[12])/16 - (337*t[13])/6 - (2299*t[14])/24 - (493*t[15])/48 - 
       5*t[18] - t[19] - 2*t[20] - 5*t[21] - (15*t[22])/4 + 5*t[23] - 
       2*t[24] - 3*t[25] + (7*t[26])/2 + (3*t[27])/2 - 5*t[28] + 10*t[29] - 
       3*t[30] + (5*t[31])/2 - 4*t[32] + 4*t[33] - (31*t[34])/2 - 2*t[35] + 
       4*t[36] + 2*t[37] - 2*t[39] + (15*t[40])/2 + (39*t[41])/8 - 
       (47*t[42])/8 + (85*t[43])/16 + 5*t[44] + (117*t[45])/8 - (9*t[46])/2 - 
       (409*t[47])/8 + (27*t[48])/4 + (81*t[49])/8 - (25*t[50])/2 - 
       (31*t[51])/16 + 6*t[52] - (49*t[53])/8 - (5*t[54])/2 - t[56]/4 + 
       t[57] - (5*t[58])/2 + (71*t[59])/8 - (671*t[60])/8 - (495*t[61])/4 + 
       (1543*t[62])/16 + (997*t[63])/16 - (117*t[64])/16 - (2551*t[65])/24 + 
       (373*t[66])/2 + 7*t[69] + 11*t[70] - 11*t[71] + 2*t[72] + 8*t[73] + 
       10*t[74] - 10*t[75] - (7*t[76])/2 + (21*t[77])/4 - (31*t[78])/2 + 
       10*t[79] - 57*t[80] - 12*t[81] + (83*t[82])/8 + t[83] - (81*t[84])/4 - 
       (71*t[85])/4 - (211*t[86])/4 + (141*t[87])/4 + (141*t[88])/8 - 
       24*t[89] + 6*t[96] + (7*t[97])/2 - 96*t[98] + 82*t[99] - 3*t[100]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*((9*t[1])/2 - (215*t[2])/8 - 
       (433*t[3])/8 - 12*t[4] - (9*t[5])/8 + (399*t[6])/16 - (97*t[7])/2 + 
       135*t[8] + 13*t[9] + (519*t[10])/8 - (241*t[11])/16 + (11*t[12])/8 + 
       (121*t[13])/48 + (943*t[14])/24 + (899*t[15])/72 + t[16] - t[18] + 
       2*t[19] - 5*t[20] + 2*t[21] + 5*t[22] - 2*t[23] + (11*t[25])/2 - 
       6*t[26] + t[27]/2 + 2*t[28] - 8*t[29] - (83*t[30])/4 - (9*t[31])/2 + 
       (21*t[32])/2 + 2*t[33] - 13*t[34] - (7*t[35])/2 + t[36] - 2*t[37] + 
       2*t[38] + (15*t[39])/4 - (7*t[40])/4 + 4*t[41] - 3*t[42] + 7*t[43] - 
       (123*t[44])/8 + (61*t[45])/4 - 3*t[46] - (15*t[47])/2 + 
       (669*t[48])/16 - 11*t[49] - (561*t[50])/16 + (185*t[51])/16 + 
       (481*t[52])/16 + 14*t[53] + (885*t[54])/16 - t[58] + (87*t[59])/8 + 
       (1313*t[60])/16 + (1537*t[61])/16 + (101*t[62])/32 - (3797*t[63])/32 + 
       (943*t[64])/32 - (2443*t[65])/48 - (2659*t[66])/48 - t[67]/2 - 
       3*t[68] + 5*t[69] + 9*t[70] - 9*t[71] + (7*t[72])/2 - 8*t[73] - 
       13*t[74] + 12*t[75] + (9*t[76])/8 + t[77] + (241*t[78])/8 + 
       (9*t[79])/2 + 6*t[80] - (23*t[81])/4 - (31*t[82])/2 - (53*t[83])/2 + 
       (303*t[84])/16 - (517*t[85])/16 - (145*t[86])/2 + (153*t[87])/16 + 
       (793*t[88])/32 + (1043*t[89])/32 + t[91]/12 - t[92]/2 + t[93] + 
       t[94]/2 - 10*t[95] - 2*t[96] + (9*t[97])/2 - 96*t[98] + 82*t[99] - 
       3*t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]^2*
      ((-5*t[1])/12 + (37*t[2])/48 - (119*t[3])/96 + (5*t[4])/12 - 
       (489*t[5])/64 + (15*t[6])/8 + (421*t[7])/96 + (191*t[8])/96 + 
       (2801*t[9])/192 - (11*t[10])/16 + (293*t[11])/96 + (1321*t[12])/192 + 
       (533*t[13])/864 + (419*t[14])/48 - (681*t[15])/128 - t[22]/4 - 
       t[27]/3 + (2*t[28])/3 + t[29]/3 - (5*t[30])/6 + t[31]/2 + t[32]/3 - 
       t[33]/3 + (4*t[34])/3 + (3*t[35])/2 - t[37]/2 - t[38]/3 + 
       (2*t[39])/3 - (5*t[40])/6 + t[41]/24 - t[42]/24 - (47*t[43])/24 - 
       (5*t[44])/6 + t[45]/24 - (9*t[46])/8 + (9*t[47])/4 + (23*t[48])/48 + 
       (47*t[49])/96 - (15*t[50])/16 - (31*t[51])/64 + (31*t[52])/16 - 
       (47*t[53])/96 + (13*t[54])/8 - t[59]/8 + (63*t[60])/8 + 
       (311*t[61])/24 - (333*t[62])/32 + (1853*t[63])/96 - (19*t[64])/4 + 
       (63*t[65])/8 - (601*t[66])/144 - (3*t[69])/4 - t[70]/6 + t[71]/6 - 
       t[72]/2 - t[73]/4 - (7*t[74])/6 + (19*t[75])/12 + (7*t[76])/6 + 
       (5*t[77])/4 + t[78]/6 + (3*t[79])/4 - 7*t[80] + (5*t[81])/4 - 
       t[82]/4 - (61*t[83])/8 + (17*t[84])/16 + (41*t[85])/16 - 
       (35*t[86])/6 - (445*t[87])/48 - (445*t[88])/96 + (7*t[89])/12 + 
       t[97]/6 + (25*t[98])/2 - (77*t[99])/6 - (23*t[100])/8) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      (-t[59]/2 + (77*t[60])/24 + (103*t[61])/24 + (1939*t[62])/144 - 
       (961*t[63])/144 - (265*t[64])/18 + (245*t[65])/216 - (139*t[66])/27 + 
       t[69]/3 - (5*t[70])/3 + (5*t[71])/3 + (9*t[74])/4 + (25*t[79])/24 - 
       4*t[80] + (11*t[81])/12 - (11*t[82])/12 + (7*t[83])/18 - 
       (17*t[84])/18 + (227*t[85])/72 - (937*t[86])/72 - (91*t[87])/72 - 
       (91*t[88])/144 - (593*t[89])/144 - (17*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      (t[1]/8 + (21*t[2])/16 + (5*t[3])/128 + (215*t[4])/64 - 
       (409*t[5])/256 + t[6]/64 - (551*t[7])/128 - (53*t[8])/128 + 
       (69*t[9])/256 - (329*t[10])/128 - (215*t[11])/128 - (259*t[12])/256 - 
       (67*t[13])/96 - (165*t[14])/256 + (5*t[15])/1536 - t[18]/12 - 
       t[22]/16 + (3*t[28])/4 - (3*t[30])/8 - (5*t[31])/4 - (3*t[35])/4 + 
       t[39]/4 - (5*t[41])/32 + (5*t[42])/32 - (5*t[43])/64 - t[44] - 
       (23*t[45])/32 - (3*t[46])/8 + (3*t[47])/16 + (33*t[48])/64 - t[49]/8 + 
       (33*t[50])/64 + t[51]/32 - (33*t[52])/64 + t[53]/8 - (17*t[54])/64 + 
       (7*t[59])/32 - (51*t[60])/32 - (101*t[61])/32 + (277*t[62])/64 - 
       (105*t[63])/64 - (377*t[64])/64 - (259*t[65])/192 + (583*t[66])/192 + 
       t[69]/4 + t[73]/8 + t[74]/2 - (3*t[75])/8 + (3*t[77])/16 - t[79]/2 + 
       t[80]/2 - t[81]/16 - (3*t[82])/8 + 2*t[83] - t[84]/16 - 
       (33*t[85])/32 - (9*t[86])/8 + (57*t[87])/32 + (57*t[88])/64 - 
       (67*t[89])/64 - (11*t[100])/4) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(t[60]/16 - (3*t[61])/16 - (5*t[62])/32 - 
       (175*t[63])/32 + (7*t[64])/32 - (133*t[65])/36 - (31*t[66])/12 - 
       t[69]/2 + (3*t[73])/4 - (7*t[75])/4 - t[78] + t[81]/8 - (5*t[82])/8 + 
       (7*t[83])/6 - t[84]/2 + (11*t[85])/16 + t[86]/2 + t[87]/16 + 
       t[88]/32 - (7*t[89])/32 + t[99]/2 - (11*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w]*
      ((-3*t[60])/4 + (13*t[61])/4 - (365*t[62])/96 - (41*t[63])/32 + 
       (167*t[64])/12 - (413*t[65])/72 - (829*t[66])/144 - t[69]/6 + 
       (7*t[70])/24 - (7*t[71])/24 + t[72]/3 - t[74]/2 - (3*t[75])/2 + 
       t[77]/8 - t[78] - (5*t[79])/12 - t[80]/2 - (13*t[81])/24 - 
       (2*t[82])/3 + (5*t[83])/6 - (11*t[84])/12 + t[85]/16 - (31*t[86])/24 + 
       (163*t[87])/48 + (163*t[88])/96 + (137*t[89])/48 + t[99]/2 - 
       (11*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*(-t[1]/4 + (17*t[2])/32 - (47*t[3])/128 - 
       (51*t[4])/64 - (769*t[5])/256 + (41*t[6])/64 + (565*t[7])/128 - 
       (89*t[8])/128 + (1785*t[9])/256 - (211*t[10])/128 + (321*t[11])/128 + 
       (529*t[12])/256 + (565*t[13])/576 + (965*t[14])/256 - 
       (1009*t[15])/512 - (3*t[22])/16 - t[27]/4 + t[29]/4 - (3*t[30])/8 + 
       t[31]/2 + t[32]/4 - t[33]/4 + t[34] + t[35] - t[37]/4 - t[38]/4 + 
       t[39]/4 - (5*t[40])/8 - t[41]/32 + t[42]/32 - (19*t[43])/64 - 
       t[45]/32 - (3*t[46])/16 + (11*t[47])/16 - (9*t[48])/64 + 
       (33*t[49])/64 - t[50]/64 - (39*t[51])/128 + (49*t[52])/64 - 
       (33*t[53])/64 + (23*t[54])/64 - (7*t[59])/32 + (39*t[60])/16 + 
       (125*t[61])/16 - 9*t[62] + (87*t[63])/32 + (9*t[64])/32 + 
       (365*t[65])/192 - (1613*t[66])/192 - t[69]/4 + t[73]/4 - t[74]/2 - 
       t[75]/4 + (7*t[76])/8 + (3*t[77])/16 - t[78]/2 + t[80]/4 + 
       (3*t[81])/4 - (3*t[82])/4 - t[83]/8 - t[84]/8 + (33*t[85])/16 + 
       3*t[86] - (47*t[87])/16 - (47*t[88])/32 - (11*t[89])/32 + t[97]/8 + 
       (27*t[98])/4 - (29*t[99])/4 - (21*t[100])/8) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      (t[2]/6 + t[3]/6 + t[4]/2 + t[5]/3 - (29*t[6])/36 - (2*t[8])/3 - 
       t[9]/3 - t[10]/3 - t[12] - (19*t[13])/54 - t[14]/6 + t[15]/36 - 
       t[41]/6 - (11*t[42])/12 + t[43]/3 - (5*t[59])/36 + (43*t[60])/16 + 
       (43*t[61])/48 + (53*t[62])/12 + (95*t[63])/24 - (155*t[64])/32 + 
       (35*t[65])/48 - (457*t[66])/144 + (17*t[74])/12 - t[79]/3 + 
       (5*t[81])/8 - (5*t[82])/8 - (5*t[83])/6 + (5*t[84])/12 + 
       (85*t[85])/48 - (31*t[86])/4 - (125*t[87])/48 - (125*t[88])/96 + 
       (13*t[89])/96 - (5*t[100])/2) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]^2*
      (t[59]/6 + (45*t[60])/8 + (39*t[61])/4 - (15*t[62])/4 - (7*t[63])/4 - 
       (17*t[64])/8 - (211*t[65])/48 - (349*t[66])/48 + t[69]/12 - t[70]/6 + 
       t[71]/6 - t[72]/2 - t[74]/2 + t[75]/3 + (4*t[76])/3 + t[77]/3 + 
       (5*t[78])/6 - t[79] + (3*t[80])/4 + (7*t[81])/24 - (23*t[82])/24 + 
       (47*t[83])/24 - (13*t[84])/24 + (19*t[85])/16 - (41*t[86])/12 - 
       (15*t[87])/16 - (13*t[88])/96 + (47*t[89])/24 + t[96] + (2*t[97])/3 + 
       8*t[98] - 9*t[99] - (59*t[100])/24) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (t[1]/4 + (3*t[3])/4 - (13*t[4])/8 + (51*t[5])/8 - t[6]/4 - 
       (11*t[7])/8 - (13*t[8])/8 - (11*t[9])/2 - (43*t[10])/16 - 
       (9*t[11])/4 - (33*t[12])/16 + (37*t[13])/144 - (65*t[14])/32 + 
       (85*t[15])/48 + t[43] + (9*t[49])/16 + (3*t[50])/4 + (19*t[51])/32 - 
       (3*t[52])/4 - (9*t[53])/16 - (7*t[54])/8 + (19*t[59])/12 + 
       (671*t[60])/48 + (589*t[61])/48 + (1015*t[62])/144 + 
       (2111*t[63])/144 - (1861*t[64])/288 + (1051*t[65])/432 - 
       (4741*t[66])/432 - (2*t[69])/3 - t[72]/3 - t[73]/3 - (17*t[74])/12 + 
       (5*t[75])/2 - (7*t[76])/3 + t[77]/12 + 3*t[78] - (9*t[79])/4 - 
       (5*t[80])/3 + (85*t[81])/24 - (33*t[82])/8 - (139*t[83])/36 + 
       (197*t[84])/36 + (937*t[85])/144 - (128*t[86])/9 - (1433*t[87])/144 - 
       (1433*t[88])/288 + (1325*t[89])/288 + t[97]/3 - (16*t[98])/3 + 
       (8*t[99])/3 - (7*t[100])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^3*
      (-t[1]/12 + (7*t[2])/12 + (17*t[3])/6 - (31*t[4])/8 + (235*t[5])/48 + 
       (107*t[6])/48 - (45*t[7])/8 + (89*t[8])/24 - (7*t[9])/16 + 
       (55*t[10])/16 - (193*t[11])/48 + (17*t[12])/12 - (229*t[13])/72 + 
       (629*t[14])/288 - (1859*t[15])/864 + (13*t[29])/12 + t[30]/12 - 
       (2*t[31])/3 - t[32]/4 + t[33]/4 + (5*t[34])/3 - t[36] - t[37]/2 - 
       (2*t[38])/3 - (5*t[39])/12 - (7*t[40])/12 - t[43]/3 - (17*t[44])/6 - 
       (7*t[45])/3 + (5*t[47])/3 + t[48]/48 + (121*t[49])/48 - 
       (53*t[50])/16 - (169*t[51])/96 + (223*t[52])/48 - (121*t[53])/48 + 
       (49*t[54])/48 - (13*t[59])/8 - (143*t[60])/96 - (431*t[61])/32 - 
       (3305*t[62])/192 - (3551*t[63])/192 + (1873*t[64])/64 - 
       (65*t[65])/96 - (1829*t[66])/96 + t[67]/12 + t[68]/4 - t[69]/2 - 
       t[70] + t[71] + (7*t[72])/3 + (2*t[73])/3 - (11*t[74])/6 - 
       (14*t[75])/3 + 4*t[76] + t[77]/3 - (155*t[78])/12 + (23*t[79])/4 + 
       (59*t[80])/6 - t[81]/12 + (17*t[82])/12 + (7*t[83])/12 - 
       (279*t[84])/32 - (3*t[85])/32 + (29*t[86])/2 + (161*t[87])/96 + 
       (161*t[88])/192 - (127*t[89])/64 - t[91]/72 + t[92]/12 + t[93]/6 - 
       t[94]/12 - (5*t[97])/12 + 24*t[98] - 23*t[99] - (13*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^3*(-t[1]/3 + (11*t[2])/12 - t[3]/6 - 
       t[4]/24 - (121*t[5])/16 - t[6]/16 + (89*t[7])/24 - (203*t[8])/24 + 
       (715*t[9])/48 - (69*t[10])/16 - (199*t[11])/48 + (73*t[12])/24 - 
       (1049*t[13])/216 + (743*t[14])/96 - (1423*t[15])/288 - t[22]/2 - 
       (2*t[27])/3 + (4*t[28])/3 + (2*t[29])/3 - (5*t[30])/3 + (7*t[32])/6 - 
       (2*t[33])/3 + (8*t[34])/3 + 2*t[35] - (2*t[38])/3 + (4*t[39])/3 - 
       (5*t[40])/3 - t[41]/6 + t[42]/6 - (11*t[43])/12 - t[44]/6 - t[45]/6 - 
       t[46]/2 - 2*t[47] + (79*t[48])/48 + (53*t[49])/48 + (5*t[50])/16 - 
       (27*t[51])/32 + (27*t[52])/16 - (53*t[53])/48 + (25*t[54])/16 + 
       (13*t[60])/3 + (43*t[61])/6 - (13*t[62])/6 + (139*t[63])/12 - 
       14*t[64] - (67*t[65])/36 - (29*t[66])/36 + (7*t[76])/3 - (4*t[78])/3 - 
       (10*t[80])/3 + t[81] - (3*t[82])/2 - t[84]/2 + (13*t[85])/6 - 
       7*t[86] - (29*t[87])/6 - (29*t[88])/12 - 2*t[89] + t[97]/3 + 
       24*t[98] - 23*t[99] - (13*t[100])/6) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*Omega2[w, u, v]*(2*t[60] + 4*t[61] + (31*t[62])/6 + 
       (35*t[63])/6 - (95*t[64])/6 + (85*t[65])/18 + (35*t[66])/18 + t[74] + 
       t[75] + t[78] - 3*t[79] + t[81] - (11*t[83])/3 + (4*t[84])/3 + 
       t[85]/6 - (16*t[86])/3 - (23*t[87])/6 - (23*t[88])/12 - (4*t[89])/3 - 
       2*t[100]) + HPL[{1}, 1 - v]^3*Omega2[u, v, w]*(-t[60] + (19*t[61])/3 + 
       (109*t[62])/24 + (25*t[63])/8 - (185*t[65])/36 - (131*t[66])/36 - 
       t[79] - (2*t[83])/3 - t[84]/3 + t[85]/3 - (22*t[86])/3 + (5*t[87])/3 + 
       (5*t[88])/6 - t[89]/2 - 2*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*((5*t[4])/3 - t[5]/6 - (5*t[6])/4 + t[9]/6 - 
       (4*t[12])/3 + (947*t[13])/216 - 3*t[14] - t[15]/12 - 3*t[42] - 
       t[43]/6 + (7*t[59])/6 - (7*t[62])/6 + (25*t[63])/6 + (5*t[64])/6 + 
       3*t[65] - (23*t[66])/9 - (2*t[83])/3 + t[84]/3 - t[85]/3 + 
       (2*t[86])/3 - t[87]/3 - t[88]/6 - t[89]/3 - 2*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*
      (t[60] + 3*t[61] + (2*t[62])/3 + (29*t[63])/6 - (17*t[64])/6 - 
       t[65]/9 - t[66]/18 - 2*t[79] - (2*t[83])/3 + t[84]/3 - t[85]/3 - 
       (10*t[86])/3 - t[87]/3 - t[88]/6 + t[89]/6 - 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[u, v, w]*
      ((77*t[60])/12 + (5*t[61])/12 - (47*t[62])/12 + (88*t[63])/3 - 
       (29*t[64])/12 + (118*t[65])/9 + (161*t[66])/36 + 2*t[69] - 
       (4*t[72])/3 - 2*t[73] - t[74] + (9*t[75])/2 + 3*t[78] - (7*t[79])/4 + 
       t[80]/2 - t[81]/3 + t[82]/6 - (47*t[83])/12 + (8*t[84])/3 - t[85] - 
       (29*t[86])/12 - 2*t[87] - t[88] + (77*t[89])/24 - 2*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      (-t[2] + 6*t[3] - (7*t[4])/2 + (133*t[5])/4 + 9*t[6] - (109*t[7])/4 - 
       (23*t[8])/4 - 19*t[9] + 9*t[10] - (169*t[11])/4 - (17*t[12])/2 - 
       (2047*t[13])/72 - (47*t[14])/8 + (9*t[15])/4 + 6*t[28] - 4*t[30] - 
       6*t[31] - 8*t[35] + 4*t[37] + 4*t[39] + (3*t[43])/4 - 4*t[44] - 
       (3*t[45])/2 - t[46] - 9*t[47] + (53*t[48])/4 + (9*t[49])/4 - 
       (11*t[50])/4 - (11*t[51])/8 + (11*t[52])/4 - (9*t[53])/4 + 
       (9*t[54])/4 + 2*t[59] - 8*t[60] - 55*t[61] + 75*t[62] + 15*t[63] + 
       (15*t[64])/2 - 20*t[65] + (251*t[66])/3 + 4*t[69] + 2*t[74] + 
       2*t[75] + 8*t[79] - 10*t[80] - 2*t[81] + 6*t[82] - 12*t[83] + t[84] - 
       10*t[85] - 54*t[86] + 4*t[87] + 2*t[88] - t[89] - 8*t[99] - 
       2*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-3*t[2])/2 - (43*t[3])/4 - (7*t[4])/2 - 
       (61*t[5])/2 + 4*t[6] - 4*t[7] + 20*t[8] + (25*t[9])/2 + (43*t[10])/4 - 
       28*t[11] - (19*t[12])/4 - (407*t[13])/36 + (137*t[14])/24 - 
       (757*t[15])/72 - 2*t[28] + t[29] - 6*t[30] - 2*t[31] + t[32] + 
       4*t[34] + 4*t[35] - 4*t[36] - 2*t[43] - (9*t[44])/2 + t[46] + 
       (23*t[49])/4 - 4*t[50] - (17*t[51])/8 + 4*t[52] - (23*t[53])/4 + 
       11*t[54] + (11*t[60])/2 - 21*t[61] - (73*t[62])/2 - (115*t[63])/2 + 
       (61*t[64])/2 - (27*t[65])/2 - (185*t[66])/6 + 4*t[72] + 2*t[74] - 
       2*t[78] - 4*t[80] + t[81] - t[82] + 26*t[83] + (9*t[84])/2 + 
       14*t[85] + 44*t[86] + 9*t[87] + (17*t[88])/2 + (19*t[89])/4 - 
       4*t[95] - 8*t[99] - 2*t[100]) + HPL[{0, 1}, 1 - v]*Nt[u, v, w]*
      (-t[1]/6 + (2*t[2])/3 + (77*t[3])/48 - 4*t[4] + (73*t[5])/24 - 
       (31*t[6])/96 - (5*t[7])/4 - t[8]/12 - (19*t[9])/16 + (3*t[10])/4 - 
       (193*t[11])/96 + (29*t[12])/24 - (27*t[13])/16 - (329*t[14])/288 + 
       (19*t[15])/432 - t[29]/3 - (7*t[30])/12 - t[31]/3 - t[32]/4 + 
       t[33]/4 + (5*t[34])/6 - t[38]/3 - t[39]/12 - (5*t[40])/12 - t[43]/6 - 
       t[44]/6 - (7*t[45])/6 + (5*t[47])/6 - (41*t[48])/96 + t[49]/6 - 
       (43*t[50])/32 - t[51]/3 + (193*t[52])/96 - t[53]/6 - (23*t[54])/96 - 
       t[59]/6 - (205*t[60])/48 - (131*t[61])/16 - (353*t[62])/96 + 
       (35*t[63])/32 + (647*t[64])/96 + (221*t[65])/144 + (197*t[66])/48 - 
       2*t[75] + (13*t[76])/6 + t[77]/6 - (14*t[78])/3 + 2*t[79] + t[80] - 
       (2*t[81])/3 + (7*t[82])/6 + 2*t[83] - (71*t[84])/48 - (31*t[85])/48 + 
       (16*t[86])/3 + (7*t[87])/16 + (7*t[88])/32 - (247*t[89])/96 + 
       t[97]/6 + 8*t[98] - 8*t[99] - 2*t[100]) + HPL[{0, 1}, 1 - u]*
      Nt[u, v, w]*(-t[1]/6 + (5*t[2])/6 + (29*t[3])/48 - (11*t[4])/24 - 
       (135*t[5])/32 + t[6]/4 + (167*t[7])/48 - (95*t[8])/48 + 
       (745*t[9])/96 - (65*t[10])/16 - (23*t[11])/48 + (161*t[12])/96 - 
       (1091*t[13])/432 + (97*t[14])/32 - (481*t[15])/192 - t[27]/3 + 
       (2*t[28])/3 + t[29]/3 - t[30]/3 + t[32]/3 - t[33]/3 + (4*t[34])/3 - 
       t[38]/3 + (2*t[39])/3 - (5*t[40])/6 - t[41]/12 + t[42]/12 + t[43]/6 - 
       t[44]/3 - (7*t[45])/12 + (7*t[48])/24 + t[49]/12 - (3*t[50])/8 - 
       (3*t[51])/8 + (11*t[52])/8 - t[53]/12 + (15*t[54])/8 + (17*t[60])/12 + 
       (67*t[61])/12 - (29*t[62])/6 + (65*t[63])/12 - t[64]/2 - 
       (61*t[65])/72 - (335*t[66])/72 + (7*t[76])/6 + t[77]/2 - (2*t[78])/3 + 
       (11*t[80])/6 + t[81]/2 - t[82]/4 - t[84]/4 + (13*t[85])/12 + 
       (3*t[86])/2 - (29*t[87])/12 - (29*t[88])/24 - (13*t[89])/8 + t[97]/6 + 
       8*t[98] - 8*t[99] - 2*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*((33*t[2])/16 - (11*t[3])/16 + t[4]/4 - 
       (71*t[5])/16 - (15*t[6])/8 + (161*t[7])/32 + (63*t[8])/32 + 
       (103*t[9])/32 - (75*t[10])/32 + (203*t[11])/32 + (5*t[12])/16 + 
       (2155*t[13])/576 + (169*t[14])/96 + (81*t[15])/64 - t[19]/2 + 
       t[21]/2 - t[23]/2 - (3*t[28])/4 + t[30]/2 + t[31] - t[37]/4 - 
       t[39]/2 - t[41]/8 + t[42]/8 + t[43]/32 + (3*t[44])/4 + (3*t[45])/16 + 
       (3*t[46])/8 + (3*t[47])/8 - (61*t[48])/32 + (3*t[49])/16 + 
       (19*t[50])/32 - t[51]/8 - (19*t[52])/32 - (3*t[53])/16 - 
       (47*t[54])/32 - t[59]/2 + (11*t[60])/8 + (27*t[61])/4 - 11*t[62] - 
       (19*t[63])/4 - (43*t[64])/8 + (73*t[65])/24 - (337*t[66])/24 - t[69] - 
       t[75]/2 - 2*t[79] + (5*t[80])/2 + t[81]/4 - (5*t[82])/4 + 3*t[83] - 
       t[84]/4 + (17*t[85])/8 + (41*t[86])/4 - (5*t[87])/8 - (5*t[88])/16 + 
       (5*t[89])/16 + 2*t[99] - 2*t[100]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - w]^2*(8*t[98] - 9*t[99] - (47*t[100])/24) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
      ((-61*t[2])/36 - t[3]/6 - t[5]/6 + t[6]/6 + t[7]/3 + t[8]/3 + t[9]/3 - 
       t[11]/6 - (7*t[13])/36 + t[14]/6 + t[15]/54 + t[48]/6 + t[50]/6 - 
       t[52]/6 + t[54]/6 + (31*t[59])/36 + t[60]/6 + t[61]/3 - t[62]/2 - 
       t[63]/6 - t[64]/2 - t[65]/6 + (2*t[66])/9 + t[84]/3 + t[88]/3 + 
       t[89]/6 - (5*t[100])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((-3*t[3])/8 - (5*t[4])/8 - 
       (9*t[5])/8 - (17*t[6])/8 + (11*t[7])/4 - (27*t[8])/4 + (5*t[9])/4 + 
       (29*t[10])/16 - t[11]/2 + (5*t[12])/16 - t[13] + (39*t[14])/32 - 
       t[15]/3 + t[29]/2 - t[36]/2 + (3*t[44])/2 + t[46]/4 - (11*t[48])/4 + 
       (7*t[49])/16 + (9*t[50])/4 - t[51]/32 - (9*t[52])/4 - (7*t[53])/16 - 
       (11*t[54])/8 + (67*t[60])/16 - (41*t[61])/48 + (575*t[62])/96 - 
       (115*t[63])/96 - (625*t[64])/96 - (389*t[65])/36 - (125*t[66])/144 - 
       t[72]/3 + t[74]/4 + (3*t[75])/2 + t[77]/2 + (3*t[78])/2 - 
       (17*t[79])/12 - t[80] + (17*t[81])/8 - (31*t[82])/24 - (5*t[83])/6 + 
       (11*t[84])/6 + (73*t[85])/48 - 9*t[86] - (241*t[87])/48 - 
       (241*t[88])/96 + (73*t[89])/96 - (16*t[98])/3 + (8*t[99])/3 - 
       (5*t[100])/3) + B8[v, w, u]*HPL[{1}, 1 - v]*
      ((11*t[60])/4 - (3*t[61])/4 + (23*t[62])/8 - (7*t[63])/8 - 
       (79*t[64])/8 - 2*t[65] - (25*t[66])/12 + t[69] - t[70] + t[71] - 
       2*t[80] + t[81]/2 - t[82]/2 - t[84]/4 + t[85] - 3*t[86] - 
       (5*t[87])/2 - (5*t[88])/4 - (15*t[89])/8 - (3*t[100])/2) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - v]*((-5*t[60])/12 + 
       (167*t[61])/24 + (115*t[62])/16 + (251*t[63])/48 - (43*t[64])/24 - 
       (169*t[65])/24 - (23*t[66])/8 - (25*t[79])/12 + t[80]/3 - 
       (4*t[83])/3 - (2*t[84])/3 + (2*t[85])/3 - 11*t[86] + (4*t[87])/3 + 
       (2*t[88])/3 - (7*t[89])/6 - (3*t[100])/2) + 
     B7[v, w, u]*HPL[{1}, 1 - v]*((-13*t[62])/8 - (7*t[63])/8 + t[64]/2 - 
       (19*t[65])/12 - (3*t[66])/2 + t[69] - t[70] + t[71] - t[84]/4 - 
       (3*t[85])/4 + 2*t[86] + t[87]/4 + t[88]/8 - (3*t[89])/4 - 
       (3*t[100])/2) + HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-25*t[60])/12 + (19*t[61])/4 + (29*t[62])/6 + (7*t[63])/6 + 
       (121*t[64])/24 - (127*t[65])/36 - t[66]/18 - t[69] - t[79] - t[80] + 
       t[81]/6 - t[82]/6 - (13*t[83])/6 + t[84]/12 + t[85]/6 - 6*t[86] + 
       (7*t[87])/3 + (7*t[88])/6 + (5*t[89])/24 - (3*t[100])/2) + 
     HPL[{1}, 1 - v]^2*M1[w, u, v]*((-7*t[60])/4 + (7*t[61])/2 + 
       (17*t[62])/16 + (7*t[63])/16 + (33*t[64])/8 - (9*t[65])/8 - 
       (23*t[66])/24 - t[69] + t[70]/2 - t[71]/2 - t[83]/4 - 2*t[86] + 
       2*t[87] + t[88] + (5*t[89])/8 - (3*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      ((17*t[60])/24 - (25*t[61])/12 + (25*t[62])/24 - (47*t[63])/12 - 
       (141*t[64])/16 + (533*t[65])/72 + (61*t[66])/36 - t[72]/6 + t[74] + 
       2*t[75] + (3*t[78])/2 - t[79]/4 + (13*t[81])/12 - (5*t[82])/12 - 
       (23*t[83])/6 + (31*t[84])/24 - t[85]/12 + (41*t[86])/12 - 
       (7*t[87])/2 - (7*t[88])/4 - (13*t[89])/16 - (3*t[98])/2 + 3*t[99] - 
       (5*t[100])/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      ((23*t[60])/16 - (197*t[61])/96 - (77*t[62])/128 + (101*t[63])/128 - 
       (281*t[64])/96 + (1555*t[65])/576 + (83*t[66])/64 - t[72]/6 - 
       t[74]/4 + (25*t[75])/24 - t[76]/4 + (2*t[78])/3 + (3*t[79])/16 - 
       (3*t[80])/8 + (3*t[81])/8 - t[82]/3 - (5*t[83])/16 + (17*t[84])/48 + 
       t[85]/12 + t[86]/2 - (7*t[87])/8 - (7*t[88])/16 + (89*t[89])/96 - 
       (3*t[98])/2 + 3*t[99] - (9*t[100])/8) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*M1[w, v, u]*(3*t[60] + 2*t[61] + (43*t[62])/12 + 
       (65*t[63])/12 - (26*t[64])/3 + (11*t[65])/18 - (22*t[66])/9 - 
       t[77]/2 - t[80] - t[83]/3 + (2*t[84])/3 + t[85]/3 - (14*t[86])/3 - 
       (8*t[87])/3 - (4*t[88])/3 - (5*t[89])/3 - t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - v]*(-t[60]/2 + (17*t[61])/3 + 
       (149*t[62])/24 + (41*t[63])/8 - (5*t[64])/4 - (229*t[65])/36 - 
       (13*t[66])/12 - 2*t[79] - (4*t[83])/3 - (2*t[84])/3 + (2*t[85])/3 - 
       (29*t[86])/3 + (4*t[87])/3 + (2*t[88])/3 - (3*t[89])/4 - t[100]) + 
     HPL[{1}, 1 - v]^2*M1[u, v, w]*((-3*t[60])/4 + (13*t[61])/6 + 
       (103*t[62])/48 + (3*t[63])/16 + (15*t[64])/8 - (191*t[65])/72 - 
       (187*t[66])/72 - t[83]/3 - t[84]/6 + t[85]/6 - (8*t[86])/3 + 
       (5*t[87])/6 + (5*t[88])/12 - (3*t[89])/8 - t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      (-t[60]/8 + (29*t[61])/12 - (19*t[62])/96 + (105*t[63])/32 + 
       (3*t[64])/16 - (509*t[65])/144 - (97*t[66])/48 - t[74] - t[79] - 
       t[83]/12 - t[84]/24 + t[85]/24 - (2*t[86])/3 + (11*t[87])/24 + 
       (11*t[88])/48 - (3*t[89])/16 - t[100]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Nt[u, v, w]*(t[60]/2 + (3*t[61])/2 + (7*t[62])/12 + 
       (29*t[63])/12 - (17*t[64])/12 - t[65]/18 + (7*t[66])/18 - t[79] - 
       t[83]/3 + t[84]/6 - t[85]/6 - (5*t[86])/3 - t[87]/6 - t[88]/12 + 
       t[89]/12 - t[100]) + HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-37*t[1])/18 - t[2]/18 - (3*t[4])/2 - (11*t[6])/36 - t[7]/18 + 
       t[8]/18 - t[9]/18 - t[10]/18 + (3*t[12])/2 - (745*t[13])/648 + 
       (8*t[14])/27 + t[15]/108 + (19*t[59])/18 - (3*t[60])/2 + 
       (14*t[61])/3 + (253*t[62])/72 + (203*t[63])/72 + (29*t[64])/36 - 
       (341*t[65])/108 - (83*t[66])/36 - t[83]/3 - t[84]/6 + t[85]/6 - 
       (17*t[86])/3 + (11*t[87])/6 + (11*t[88])/12 + t[89]/4 - t[100]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (t[60]/32 - (3*t[61])/32 - (5*t[62])/64 - (175*t[63])/64 + 
       (7*t[64])/64 - (7*t[65])/4 - (31*t[66])/24 - t[69]/4 + (3*t[73])/8 - 
       (7*t[75])/8 - t[78]/2 + t[81]/16 - (5*t[82])/16 + (3*t[83])/4 - 
       t[84]/4 + (11*t[85])/32 + t[86]/4 + t[87]/32 + t[88]/64 - 
       (7*t[89])/64 + t[98]/2 - t[99]/2 - t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2*
      ((7*t[60])/32 + (163*t[61])/96 - t[62] - t[63]/24 + (457*t[64])/192 - 
       (63*t[65])/32 - (241*t[66])/96 + t[69]/4 + t[72]/6 + t[73]/12 - 
       t[74]/4 - (2*t[75])/3 + t[76]/12 - (5*t[78])/12 - (17*t[79])/48 - 
       (7*t[80])/24 - t[81]/48 - (17*t[82])/48 + (3*t[83])/16 - 
       (5*t[84])/24 + (17*t[85])/96 - (29*t[86])/48 + (11*t[87])/96 + 
       (11*t[88])/192 + (25*t[89])/192 + t[98]/2 - t[99]/2 - t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((-27*t[2])/8 - (29*t[3])/8 + (31*t[4])/4 - (23*t[5])/8 + (19*t[6])/4 - 
       (57*t[7])/8 + (35*t[8])/8 - t[9]/4 + 4*t[10] + (7*t[11])/8 - 
       (17*t[12])/8 + (179*t[13])/48 + (17*t[14])/48 - (43*t[15])/16 + 
       (3*t[28])/2 + t[31]/2 - t[32] + t[33] + t[35] - t[36] + t[37]/2 + 
       t[41]/4 - t[42]/4 - t[43]/4 - 2*t[44] + t[47]/2 + (35*t[48])/8 + 
       (13*t[49])/8 - (39*t[50])/8 - (13*t[51])/16 + (39*t[52])/8 - 
       (13*t[53])/8 + (21*t[54])/8 + (4*t[59])/3 - (3*t[60])/4 - 
       (29*t[61])/8 - (155*t[62])/96 + (163*t[63])/96 + (209*t[64])/12 - 
       (1723*t[65])/144 - (959*t[66])/144 - t[67]/12 - t[69]/2 + t[72]/6 + 
       t[73]/4 - (2*t[74])/3 - (3*t[75])/2 + t[77]/2 - (3*t[78])/2 + 
       (17*t[79])/12 - (3*t[80])/2 - (13*t[81])/12 + (5*t[82])/12 - 
       (3*t[83])/4 - (4*t[84])/3 + (3*t[85])/8 - (21*t[86])/4 + 
       (83*t[87])/24 + (83*t[88])/48 + (51*t[89])/8 + 2*t[99] - 
       (2*t[100])/3) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-5*t[1])/24 + (7*t[2])/48 - (145*t[3])/384 - (41*t[4])/32 + 
       (181*t[5])/192 - (199*t[6])/768 + (15*t[7])/16 - (61*t[8])/24 + 
       (165*t[9])/128 + (37*t[10])/64 - t[11]/768 + (121*t[12])/96 - 
       (907*t[13])/1152 + (1537*t[14])/2304 + (137*t[15])/432 - 
       (37*t[29])/96 - t[30]/6 + t[31]/12 - t[32]/16 + t[33]/16 + 
       (29*t[34])/48 + t[36]/8 + t[37]/4 - t[38]/6 - (7*t[39])/96 - 
       (17*t[40])/96 + t[43]/24 + (17*t[44])/48 - (7*t[45])/12 + 
       (5*t[47])/12 - (545*t[48])/768 + (13*t[49])/192 + (77*t[50])/256 - 
       (61*t[51])/384 + (25*t[52])/768 - (13*t[53])/192 - (455*t[54])/768 - 
       (5*t[59])/96 - (677*t[60])/384 - (5167*t[61])/1152 - 
       (1219*t[62])/2304 + (3641*t[63])/768 + (971*t[64])/768 + 
       (25763*t[65])/3456 + (27457*t[66])/3456 + (7*t[74])/8 + (3*t[75])/4 + 
       (5*t[76])/6 + t[77]/12 - t[78]/3 + (19*t[79])/16 + (3*t[80])/2 + 
       (11*t[81])/48 + (5*t[82])/6 - (241*t[83])/72 + (1531*t[84])/1152 - 
       (2269*t[85])/1152 + (515*t[86])/144 - (2093*t[87])/1152 - 
       (2093*t[88])/2304 - (285*t[89])/256 + t[97]/12 + (13*t[98])/4 - 
       (15*t[99])/4 - (13*t[100])/24) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - v]*((-5*t[3])/8 - (7*t[15])/144 + (5*t[60])/8 + 
       (5*t[61])/8 + (5*t[62])/12 - (5*t[64])/4 + (5*t[65])/24 - t[100]/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      (-t[59]/24 + (9*t[60])/8 + (7*t[61])/8 + (83*t[62])/48 + 
       (127*t[63])/48 - (59*t[64])/24 - (11*t[65])/72 - (25*t[66])/18 + 
       t[74]/4 - (5*t[79])/8 + t[81]/4 - t[82]/4 - t[83]/6 + t[84]/12 + 
       (19*t[85])/24 - (83*t[86])/24 - (23*t[87])/24 - (23*t[88])/48 + 
       (11*t[89])/48 - t[100]/2) + HPL[{1}, 1 - v]^2*M1[v, w, u]*
      (-t[60] + (7*t[61])/12 + (71*t[62])/48 + (3*t[63])/16 + (9*t[64])/4 - 
       (31*t[65])/72 - (29*t[66])/72 - t[72]/2 + t[77]/4 + t[80]/2 - 
       t[83]/6 - t[84]/12 + t[85]/12 - t[86]/3 + (11*t[87])/12 + 
       (11*t[88])/24 + t[89]/4 - t[100]/2) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*((73*t[60])/96 + (259*t[61])/96 + 
       (25*t[62])/24 + t[63]/12 - (185*t[64])/64 - (173*t[65])/288 - 
       (409*t[66])/288 - t[73]/6 + t[74]/4 - t[75]/6 - t[76]/6 + t[78]/12 - 
       (23*t[79])/48 + (7*t[80])/12 + t[81]/16 - (7*t[82])/48 + (3*t[83])/2 - 
       t[84]/12 + (37*t[85])/96 - (39*t[86])/16 + (83*t[87])/96 + 
       (83*t[88])/192 - (21*t[89])/64 - t[98] + t[99] - t[100]/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((-27*t[2])/8 - (3*t[3])/8 + (31*t[4])/4 - (29*t[5])/8 + (3*t[6])/4 - 
       t[7]/8 - t[8]/8 + 4*t[9] + t[10]/2 + (29*t[11])/8 - (11*t[12])/8 + 
       (523*t[13])/144 - (127*t[14])/48 - (301*t[15])/48 + t[18]/6 - 
       t[28]/2 - (3*t[31])/2 + t[37]/2 + t[41]/4 - t[42]/4 - (3*t[43])/4 - 
       t[44]/2 - t[45] - t[46] + (7*t[47])/2 + (13*t[48])/8 + (9*t[49])/8 - 
       (5*t[50])/8 - (5*t[51])/16 + (5*t[52])/8 - (9*t[53])/8 - 
       (13*t[54])/8 - (5*t[59])/6 - (83*t[60])/48 - (5*t[61])/16 - 
       (445*t[62])/96 - (647*t[63])/96 + (1079*t[64])/96 - (29*t[65])/12 - 
       (101*t[66])/24 - t[67]/12 + t[69]/2 + t[72]/2 + t[73]/4 + 
       (17*t[74])/12 - t[75] - t[78] - (7*t[79])/12 - t[80]/2 - (5*t[81])/8 - 
       (7*t[82])/8 - t[83]/4 - (3*t[84])/2 - (15*t[85])/16 - (11*t[86])/6 + 
       (55*t[87])/16 + (55*t[88])/32 + (313*t[89])/96 + 2*t[99] - t[100]/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      ((5*t[60])/24 - (27*t[61])/32 - (367*t[62])/384 - (151*t[63])/128 + 
       (83*t[64])/192 - (23*t[65])/576 - (53*t[66])/64 + t[73]/6 - t[74]/6 - 
       t[75]/4 + t[76]/6 - t[78]/4 + (49*t[79])/96 - t[80]/3 + (5*t[81])/24 - 
       (11*t[82])/24 + t[83]/6 - t[84]/12 + (31*t[85])/48 + (47*t[86])/96 - 
       (9*t[87])/16 - (9*t[88])/32 + (17*t[89])/48 + 2*t[98] - 2*t[99] - 
       (3*t[100])/8) + HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - w]*
      ((17*t[60])/12 + (161*t[61])/144 + (1039*t[62])/576 + (271*t[63])/192 - 
       (93*t[64])/32 - (1649*t[65])/864 - (955*t[66])/864 - (19*t[79])/16 - 
       (19*t[83])/36 - (19*t[84])/72 + (19*t[85])/72 - (365*t[86])/144 - 
       (79*t[87])/72 - (79*t[88])/144 - (13*t[89])/12 - t[100]/3) + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((11*t[60])/48 - (13*t[61])/36 + (175*t[62])/576 - (59*t[63])/64 - 
       (97*t[64])/24 + (3421*t[65])/864 + (3851*t[66])/864 + t[74]/2 + 
       t[75]/2 + t[78]/2 + (3*t[79])/16 + (3*t[81])/8 + t[82]/8 - 
       (55*t[83])/36 + (59*t[84])/72 - (73*t[85])/144 + (229*t[86])/144 - 
       (167*t[87])/144 - (167*t[88])/288 - (7*t[89])/32 - t[100]/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4*
      (t[60]/8 + t[61]/8 - t[65]/24 - t[66]/72 - t[100]/4) + 
     HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - v]*(-t[60]/8 + (17*t[61])/12 + 
       (149*t[62])/96 + (41*t[63])/32 - (5*t[64])/16 - (229*t[65])/144 - 
       (29*t[66])/48 - t[79]/2 - t[83]/3 - t[84]/6 + t[85]/6 - 
       (29*t[86])/12 + t[87]/3 + t[88]/6 - (3*t[89])/16 - t[100]/4) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^4*((9*t[60])/16 + (7*t[61])/16 + 
       (83*t[62])/96 + (127*t[63])/96 - (59*t[64])/48 - (11*t[65])/144 - 
       (31*t[66])/36 + t[74]/8 - (5*t[79])/16 + t[81]/8 - t[82]/8 - 
       t[83]/12 + t[84]/24 + (19*t[85])/48 - (83*t[86])/48 - (23*t[87])/48 - 
       (23*t[88])/96 + (11*t[89])/96 - t[100]/4) + 
     HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - w]*((-3*t[60])/8 + (7*t[61])/24 - 
       (31*t[62])/96 - (13*t[63])/32 + (23*t[64])/32 + (2*t[65])/9 - 
       (13*t[66])/48 + (5*t[79])/16 + t[83]/6 + t[84]/12 - t[85]/12 + 
       (19*t[86])/48 + t[87]/3 + t[88]/6 + (3*t[89])/16 - t[100]/4) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (t[60]/8 - t[65]/72 - t[98] + t[99] - t[100]/4) + 
     HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]^2*((-3*t[60])/16 + (7*t[61])/48 - 
       (31*t[62])/192 - (13*t[63])/64 + (23*t[64])/64 + t[65]/9 - 
       (23*t[66])/288 + (5*t[79])/32 + t[83]/12 + t[84]/24 - t[85]/24 + 
       (19*t[86])/96 + t[87]/6 + t[88]/12 + (3*t[89])/32 - t[100]/8) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-5*t[1])/36 - (83*t[2])/72 + (547*t[3])/288 + (769*t[4])/48 - 
       (47*t[5])/8 - (1127*t[6])/64 + (443*t[7])/16 - (729*t[8])/8 + 
       (6125*t[9])/288 + (2425*t[10])/288 + (14903*t[11])/576 - 
       (557*t[12])/96 + (5753*t[13])/864 + (1685*t[14])/288 - 
       (2921*t[15])/648 - (3*t[28])/2 - (565*t[29])/144 + (101*t[30])/144 - 
       t[31] - (257*t[32])/144 + (33*t[33])/16 - (55*t[34])/36 - 
       (7*t[35])/2 - (13*t[36])/4 - t[38]/36 - t[39]/16 - (11*t[40])/144 - 
       (9*t[43])/4 + (139*t[44])/12 + (7*t[45])/9 + t[46]/2 - t[47]/18 - 
       (14545*t[48])/576 + (935*t[49])/288 + (3445*t[50])/192 - 
       (799*t[51])/576 - (10399*t[52])/576 - (1207*t[53])/288 - 
       (13823*t[54])/576 - (31*t[59])/24 + (4675*t[60])/288 + 
       (1451*t[61])/96 - (11297*t[62])/576 + (5935*t[63])/192 - 
       (32225*t[64])/576 - (33793*t[65])/864 - (11897*t[66])/288 - t[69]/2 + 
       t[72] - (9*t[73])/2 + (37*t[74])/18 - (7*t[75])/2 - (25*t[76])/6 + 
       t[77]/2 + (71*t[78])/18 + (3*t[79])/2 - (55*t[80])/6 + (25*t[81])/6 - 
       (23*t[82])/6 + (43*t[83])/12 + (695*t[84])/288 + (859*t[85])/288 - 
       (35*t[86])/2 - (1993*t[87])/96 - (6395*t[88])/576 - 
       (12815*t[89])/576 + (8*t[95])/9 - (3*t[96])/2 - (10*t[97])/9 - 
       (203*t[98])/6 + (191*t[99])/6 - t[100]/12) + 
     HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - v]*(-t[3]/8 + (13*t[15])/720 - 
       t[60]/8 + t[61]/8 + (5*t[65])/72 + t[100]/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^5*(t[60]/4 - (41*t[61])/48 - 
       (59*t[62])/96 - (7*t[63])/16 - (13*t[64])/64 + (197*t[65])/288 + 
       (7*t[66])/16 + (3*t[79])/32 + t[83]/12 + t[84]/24 - t[85]/24 + 
       (97*t[86])/96 - t[87]/3 - t[88]/6 + t[100]/4) + 
     HPL[{1}, 1 - v]^2*M1[v, u, w]*(t[60]/8 - (19*t[61])/24 - (11*t[62])/24 - 
       (3*t[63])/8 + (5*t[64])/16 + (61*t[65])/36 + (85*t[66])/72 + t[80]/2 - 
       t[83]/6 - t[84]/12 + t[85]/12 + (7*t[86])/6 - t[87]/12 - t[88]/24 + 
       (5*t[89])/16 + t[100]/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w]*(-t[59]/12 - (215*t[60])/96 - (185*t[61])/96 + 
       (575*t[62])/48 + (107*t[63])/16 - (289*t[64])/192 + (119*t[65])/48 + 
       (1607*t[66])/288 + t[69]/4 - t[72]/12 - t[73]/6 + t[74] + 
       (9*t[75])/4 - (2*t[76])/3 + t[77]/6 + (3*t[78])/2 + (11*t[79])/12 - 
       (29*t[80])/12 + (11*t[81])/24 + (11*t[82])/8 - (125*t[83])/24 + 
       (155*t[84])/96 + (85*t[85])/96 - (109*t[86])/12 - (93*t[87])/32 - 
       (93*t[88])/64 - (179*t[89])/192 - t[96]/2 - t[97]/3 - (8*t[98])/3 + 
       (7*t[99])/3 + t[100]/4) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^4*
      ((-59*t[60])/96 - t[61]/3 + (437*t[62])/384 - (1429*t[63])/384 - 
       (29*t[64])/192 - (791*t[65])/576 + (41*t[66])/576 - t[69]/4 + 
       t[72]/6 + t[73]/4 + t[74]/4 - t[75]/4 - t[78]/4 + (5*t[79])/16 - 
       t[80]/8 + (5*t[81])/48 + (5*t[82])/48 - (11*t[83])/48 - 
       (13*t[84])/48 + (3*t[85])/32 + t[86]/12 - (11*t[87])/32 - 
       (11*t[88])/64 - (107*t[89])/192 + (3*t[100])/8) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - u]*((-67*t[1])/144 + t[2]/24 + 
       t[3]/24 - t[4]/24 + t[5]/12 - t[8]/6 - t[9]/12 - t[10]/12 - t[12]/12 + 
       (53*t[13])/216 + (5*t[14])/72 + t[15]/144 - t[41]/24 + t[43]/12 + 
       (19*t[59])/144 + (7*t[60])/24 - (199*t[61])/144 - (533*t[62])/576 - 
       (89*t[63])/192 - (3*t[64])/8 + (661*t[65])/864 + (269*t[66])/864 + 
       t[79]/6 + (5*t[83])/36 + (5*t[84])/72 - (5*t[85])/72 + 
       (119*t[86])/72 - (37*t[87])/72 - (37*t[88])/144 - t[89]/16 + 
       (5*t[100])/12) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((-25*t[1])/36 - (26*t[2])/9 + (997*t[3])/576 - 
       (73*t[4])/48 + (2831*t[5])/288 + (1495*t[6])/1152 + t[7]/24 - 
       (251*t[8])/36 - (15*t[9])/64 - (67*t[10])/96 + (7153*t[11])/1152 + 
       (91*t[12])/18 - (1073*t[13])/1728 + (15059*t[14])/3456 + 
       (10339*t[15])/2592 + t[20] - t[22] + t[28]/2 - (299*t[29])/144 + 
       (19*t[30])/36 + (7*t[31])/9 - (11*t[32])/24 + (5*t[33])/24 + 
       (43*t[34])/72 - t[35] + (7*t[36])/12 + (5*t[37])/6 - (5*t[38])/9 - 
       (65*t[39])/144 - (55*t[40])/144 + (23*t[43])/36 + (2*t[44])/9 - 
       (35*t[45])/18 - t[46]/4 + (25*t[47])/18 - (175*t[48])/1152 - 
       (103*t[49])/288 + (323*t[50])/384 - (245*t[51])/576 + 
       (311*t[52])/1152 + (103*t[53])/288 - (2089*t[54])/1152 + 
       (149*t[59])/144 + (517*t[60])/576 - (17*t[61])/192 + 
       (9113*t[62])/1152 + (3079*t[63])/128 - (15371*t[64])/1152 + 
       (1039*t[65])/1728 + (10063*t[66])/576 + (11*t[69])/6 - (11*t[72])/6 - 
       (13*t[74])/12 - (5*t[75])/3 + (25*t[76])/9 + (5*t[77])/18 - 
       (71*t[78])/18 + (43*t[79])/12 - t[80]/6 + (13*t[81])/72 - 
       (7*t[82])/18 - (16*t[83])/3 - (1489*t[84])/576 - (1241*t[85])/576 - 
       (469*t[86])/36 - (561*t[87])/64 - (689*t[88])/128 - 
       (3977*t[89])/1152 + t[95] + (5*t[97])/18 + (95*t[98])/6 - 
       (83*t[99])/6 + (5*t[100])/12) + HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - u]*
      (-t[1]/8 + t[4]/8 + t[6]/8 + t[9]/8 - t[12]/12 + (187*t[13])/720 - 
       t[14]/12 + t[59]/120 + t[60]/2 - (35*t[61])/24 - (55*t[62])/48 - 
       (7*t[63])/8 - (21*t[64])/32 + (71*t[65])/48 + (73*t[66])/72 + 
       (3*t[79])/16 + t[83]/6 + t[84]/12 - t[85]/12 + (97*t[86])/48 - 
       (2*t[87])/3 - t[88]/3 + t[100]/2) + HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]^3*((-115*t[60])/96 + (43*t[61])/32 - (19*t[62])/64 - 
       (91*t[63])/192 + (11*t[64])/192 - (41*t[65])/36 - (5*t[66])/72 + 
       t[69]/4 + t[72]/12 - t[73]/8 - (3*t[75])/8 - t[78]/4 - (11*t[81])/48 + 
       (7*t[82])/48 + (13*t[83])/12 - t[84]/3 - (17*t[85])/96 - t[86]/4 + 
       (101*t[87])/96 + (101*t[88])/192 - (91*t[89])/192 + t[100]/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*
      (-t[59]/24 - (11*t[60])/8 - (13*t[61])/8 - (61*t[62])/24 - 
       (53*t[63])/24 + (169*t[64])/48 - (7*t[65])/72 + (25*t[66])/72 - 
       t[74]/2 + t[79] - t[81]/4 + t[82]/4 + t[83]/6 - t[84]/12 - 
       (19*t[85])/24 + (29*t[86])/6 + (23*t[87])/24 + (23*t[88])/48 - 
       (17*t[89])/48 + t[100]/2) + HPL[{1}, 1 - v]^2*Nt[u, v, w]*
      (-t[60]/4 - (13*t[61])/12 - (13*t[62])/24 - t[63]/8 + (5*t[64])/8 + 
       (23*t[65])/36 + (7*t[66])/36 + t[79]/2 + t[83]/6 + t[84]/12 - 
       t[85]/12 + (5*t[86])/6 + t[87]/12 + t[88]/24 + (3*t[89])/8 + 
       t[100]/2) + HPL[{1}, 1 - v]^2*M1[w, v, u]*((-7*t[60])/4 - 
       (13*t[61])/12 - (19*t[62])/24 + (5*t[63])/8 + (23*t[64])/8 + 
       (47*t[65])/36 + (31*t[66])/36 + t[83]/6 + t[84]/12 - t[85]/12 + 
       (5*t[86])/6 + (19*t[87])/12 + (19*t[88])/24 + (11*t[89])/8 + 
       t[100]/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((-419*t[60])/96 + (43*t[61])/96 - (1201*t[62])/192 + 
       (1457*t[63])/192 + (761*t[64])/192 + (1007*t[65])/288 + 
       (427*t[66])/144 - t[72]/3 - t[73] - t[74]/2 + (2*t[75])/3 - t[77]/4 + 
       t[78]/2 - t[79]/24 + (3*t[80])/4 - (5*t[81])/24 - (5*t[82])/24 + 
       (31*t[83])/12 - (13*t[84])/96 - (139*t[85])/96 + (85*t[86])/12 + 
       (469*t[87])/96 + (469*t[88])/192 - (217*t[89])/192 - (8*t[98])/3 + 
       (7*t[99])/3 + t[100]/2) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*((-115*t[60])/48 + (43*t[61])/16 - (19*t[62])/32 - 
       (91*t[63])/96 + (11*t[64])/96 - (73*t[65])/36 - (5*t[66])/36 + 
       t[69]/2 + t[72]/6 - t[73]/4 - (3*t[75])/4 - t[78]/2 - (11*t[81])/24 + 
       (7*t[82])/24 + (5*t[83])/2 - (2*t[84])/3 - (17*t[85])/48 - t[86]/2 + 
       (101*t[87])/48 + (101*t[88])/96 - (91*t[89])/96 + t[99]/2 + 
       (7*t[100])/12) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]^2*
      (-t[1]/3 - t[2]/24 - (47*t[3])/48 - (21*t[4])/16 + (19*t[5])/12 + 
       (205*t[6])/96 - (127*t[7])/16 + (41*t[8])/6 - (73*t[9])/16 + 
       (13*t[10])/32 - (365*t[11])/96 + (7*t[12])/96 - (27*t[13])/16 + 
       (415*t[14])/576 + (1393*t[15])/864 + t[28]/2 + (37*t[29])/48 - 
       (23*t[30])/48 - t[31]/6 - (11*t[32])/16 + (11*t[33])/16 + t[34]/6 - 
       t[35]/2 - t[36]/4 + t[37]/2 - t[38]/6 - (5*t[39])/48 - (7*t[40])/48 - 
       t[43]/3 - (11*t[44])/6 - (7*t[45])/12 - t[46]/4 + (5*t[47])/12 + 
       (251*t[48])/96 - (7*t[49])/96 - (75*t[50])/32 - (53*t[51])/192 + 
       (257*t[52])/96 + (7*t[53])/96 + (185*t[54])/96 + (7*t[59])/24 - 
       (179*t[60])/48 - t[61] + (479*t[62])/96 + (57*t[63])/32 + t[64]/96 + 
       (65*t[65])/18 + (115*t[66])/24 + t[69]/2 + t[74]/2 - t[75]/2 + 
       (13*t[76])/12 + (7*t[77])/12 - (11*t[78])/6 + t[79] - (3*t[80])/2 - 
       (7*t[81])/12 - t[82]/6 - t[83]/2 - (11*t[84])/24 - (13*t[85])/24 - 
       (16*t[86])/3 - (11*t[87])/16 - (11*t[88])/32 + (127*t[89])/96 + 
       t[97]/12 + (11*t[98])/2 - (35*t[99])/6 + (5*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u]*
      ((5*t[60])/24 - (421*t[61])/144 - (479*t[62])/576 - (537*t[63])/64 - 
       (65*t[64])/48 - (2363*t[65])/864 - (1489*t[66])/864 + t[69]/6 - 
       (3*t[70])/8 + (3*t[71])/8 + t[72]/3 + t[73]/2 + t[74]/4 - 
       (3*t[75])/4 - (3*t[78])/4 + (2*t[79])/3 - t[80]/4 - t[81]/24 + 
       t[82]/12 + (7*t[83])/18 - (49*t[84])/72 - (25*t[85])/144 + 
       (121*t[86])/36 - (239*t[87])/144 - (239*t[88])/288 - (19*t[89])/16 + 
       t[99]/2 + (2*t[100])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*((65*t[60])/32 - (17*t[61])/32 + (7*t[62])/96 + 
       (191*t[63])/96 + (49*t[64])/192 + (343*t[65])/288 - (3*t[66])/32 - 
       t[72]/6 + t[73]/4 - t[74]/8 + t[75]/6 + t[76]/4 + t[78]/6 - 
       (3*t[79])/8 + t[80]/2 + (5*t[81])/16 - (7*t[82])/48 - (13*t[83])/8 + 
       (25*t[84])/48 + (43*t[85])/96 - (2*t[86])/3 - (151*t[87])/96 - 
       (151*t[88])/192 + (13*t[89])/64 + 3*t[98] - 4*t[99] + (3*t[100])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      ((-25*t[60])/32 + (35*t[61])/32 + (41*t[62])/64 - (197*t[63])/64 - 
       (171*t[64])/64 + t[65]/6 - (89*t[66])/48 + t[69]/4 + t[72]/4 + 
       t[73]/8 + (5*t[74])/8 - t[75]/4 - (3*t[79])/8 + (3*t[81])/16 - 
       (3*t[82])/16 + t[83]/4 - t[84]/4 + t[85]/32 - t[86] + (7*t[87])/32 + 
       (7*t[88])/64 - (53*t[89])/64 - t[98]/2 + t[99]/2 + (3*t[100])/4) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - v]*(t[2]/24 - t[3]/8 - t[5]/24 + 
       t[6]/24 + t[7]/12 + t[8]/12 + t[9]/12 - t[11]/24 - (7*t[13])/144 + 
       t[14]/24 - (17*t[15])/216 + t[48]/24 + t[50]/24 - t[52]/24 + 
       t[54]/24 + t[60]/24 + t[61]/12 - t[62]/8 - t[63]/24 - t[64]/8 + 
       (5*t[65])/72 + t[66]/18 + t[84]/12 + t[88]/12 + t[89]/24 + 
       (5*t[100])/6) + 6*B10[u, v, w]*HPL[{1}, 1 - u]*t[100] - 
     6*B10[w, u, v]*HPL[{1}, 1 - u]*t[100] + 3*B5[u, v, w]*HPL[{1}, 1 - u]*
      t[100] + 3*B5[u, w, v]*HPL[{1}, 1 - u]*t[100] - 
     3*B5[w, u, v]*HPL[{1}, 1 - u]*t[100] - 3*B5[w, v, u]*HPL[{1}, 1 - u]*
      t[100] + 3*B6[u, v, w]*HPL[{1}, 1 - u]*t[100] - 
     3*B6[v, u, w]*HPL[{1}, 1 - u]*t[100] + 3*B6[v, w, u]*HPL[{1}, 1 - u]*
      t[100] - 3*B6[w, v, u]*HPL[{1}, 1 - u]*t[100] - 
     (3*B7[u, v, w]*HPL[{1}, 1 - u]*t[100])/2 + 
     (3*B7[w, u, v]*HPL[{1}, 1 - u]*t[100])/2 - 
     (3*B8[u, v, w]*HPL[{1}, 1 - u]*t[100])/2 + 
     (3*B8[w, u, v]*HPL[{1}, 1 - u]*t[100])/2 + 
     (HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]^2*t[100])/8 - 
     (3*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^3*t[100])/8 - 
     (HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - u]*t[100])/4 + 
     2*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*t[100] - 
     (3*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*t[100])/4 - 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*t[100] + 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*t[100])/2 - 
     (3*HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - u]*t[100])/2 + 
     12*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*t[100] - 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*t[100] - 
     (23*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*t[100])/
      4 + 4*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w]*t[100] - 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*t[100] - 
     2*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*t[100] + 
     (3*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u]*t[100])/2 + 
     (57*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]^2*t[100])/2 - 
     (3*HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - w]*t[100])/4 + 
     5*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*t[100] + 
     4*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*t[100] + 
     25*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*t[100] - 
     (57*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]^2*t[100])/2 - 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - u]*t[100] + 
     2*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*t[100] - 
     (3*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - u]*t[100])/2 + 
     (23*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*t[100])/
      2 - (43*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*
       t[100])/2 + (17*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - w]*t[100])/2 - 
     (19*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*t[100])/
      2 + (3*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w]*
       t[100])/2 + (3*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - u]*t[100])/2 - 
     6*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*t[100] + 
     6*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u]*t[100] - 
     3*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - w]*t[100] - 
     6*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*t[100] - 
     3*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*t[100] + 
     12*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*t[100] - 
     96*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*t[100] + 
     48*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*t[100] - 
     24*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w]*t[100] + 
     30*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*t[100] - 
     30*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*t[100] + 
     (9*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*t[100])/2 - 
     (9*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*t[100])/2 - 
     (HPL[{1}, 1 - u]^2*M1[u, v, w]*t[100])/4 + 2*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*M1[u, v, w]*t[100] - 
     (HPL[{1}, 1 - u]^2*M1[v, u, w]*t[100])/2 + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*M1[v, u, w]*t[100] - 
     (HPL[{1}, 1 - u]^2*M1[v, w, u]*t[100])/2 + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*M1[v, w, u]*t[100] - HPL[{1}, 1 - u]^2*M1[w, v, u]*
      t[100] + (HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[w, v, u]*t[100])/2 + 
     (HPL[{1}, 1 - u]^2*Nt[u, v, w]*t[100])/2 - HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*Nt[u, v, w]*t[100] - HPL[{1}, 1 - u]^3*Omega2[u, v, w]*
      t[100] + 3*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[u, v, w]*t[100] - 
     2*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*t[100] + 
     HPL[{1}, 1 - u]^3*Omega2[v, w, u]*t[100] - 3*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*Omega2[v, w, u]*t[100] + 2*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*Omega2[v, w, u]*t[100] + 3*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*Omega2[w, u, v]*t[100] + 2*HPL[{1}, 1 - u]^2*
      Ot[u, v, w]*t[100] - 4*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Ot[u, v, w]*
      t[100] - (64*HPL[{1}, 1 - u]^2*Qep[u, v, w]*t[100])/3 + 
     (128*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[u, v, w]*t[100])/3 - 
     (32*HPL[{1}, 1 - u]^2*Qep[u, w, v]*t[100])/3 + 
     (64*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[u, w, v]*t[100])/3 + 
     64*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[v, u, w]*t[100] - 
     32*HPL[{1}, 1 - u]^2*Qep[v, w, u]*t[100] - 
     (32*HPL[{1}, 1 - u]^2*Qep[w, u, v]*t[100])/3 + 
     (64*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[w, u, v]*t[100])/3 - 
     (64*HPL[{1}, 1 - u]^2*Qep[w, v, u]*t[100])/3 + 
     (128*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[w, v, u]*t[100])/3 + 
     HPL[{1}, 1 - v]^3*Omega2[v, w, u]*(t[60]/2 - (2*t[61])/3 + (5*t[62])/3 + 
       2*t[63] - (5*t[64])/4 - (11*t[65])/9 + (11*t[66])/9 - t[79] - 
       (2*t[83])/3 - t[84]/3 + t[85]/3 - (7*t[86])/3 - t[87]/3 - t[88]/6 - 
       t[89]/4 + t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, w, u]*
      ((-7*t[60])/4 + (3*t[61])/4 - (13*t[62])/3 + (11*t[63])/6 + 
       (49*t[64])/24 - (169*t[65])/36 + (97*t[66])/36 - t[74] - t[81]/2 + 
       t[82]/2 + t[83]/3 - t[84]/6 - (19*t[85])/12 + (11*t[86])/3 + 
       (23*t[87])/12 + (23*t[88])/24 - (5*t[89])/24 + t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, u, w]*(t[59] - t[60]/2 - t[61]/2 - 
       t[62]/12 + (37*t[63])/12 - (7*t[64])/12 - (28*t[65])/9 - 
       (20*t[66])/9 + t[83]/3 - t[84]/6 + t[85]/6 - (4*t[86])/3 + t[87]/6 + 
       t[88]/12 - t[89]/12 + t[100]) + HPL[{1}, 1 - v]^3*Omega2[w, u, v]*
      (-t[60]/2 - (5*t[61])/3 - (13*t[62])/12 - t[63]/4 + (3*t[64])/4 + 
       (23*t[65])/18 + t[66] + t[79] + t[83]/3 + t[84]/6 - t[85]/6 + 
       (5*t[86])/3 + t[87]/6 + t[88]/12 + (3*t[89])/4 + t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      (-t[1]/3 + (5*t[2])/3 + (29*t[3])/24 - (11*t[4])/12 - (135*t[5])/16 + 
       t[6]/2 + (167*t[7])/24 - (95*t[8])/24 + (745*t[9])/48 - (65*t[10])/8 - 
       (23*t[11])/24 + (161*t[12])/48 - (1091*t[13])/216 + (97*t[14])/16 - 
       (481*t[15])/96 - (2*t[27])/3 + (4*t[28])/3 + (2*t[29])/3 - 
       (2*t[30])/3 + (2*t[32])/3 - (2*t[33])/3 + (8*t[34])/3 - (2*t[38])/3 + 
       (4*t[39])/3 - (5*t[40])/3 - t[41]/6 + t[42]/6 + t[43]/3 - 
       (2*t[44])/3 - (7*t[45])/6 + (7*t[48])/12 + t[49]/6 - (3*t[50])/4 - 
       (3*t[51])/4 + (11*t[52])/4 - t[53]/6 + (15*t[54])/4 + (17*t[60])/6 + 
       (67*t[61])/6 - (29*t[62])/3 + (65*t[63])/6 - t[64] - (61*t[65])/36 - 
       (335*t[66])/36 + (7*t[76])/3 + t[77] - (4*t[78])/3 + (11*t[80])/3 + 
       t[81] - t[82]/2 - t[84]/2 + (13*t[85])/6 + 3*t[86] - (29*t[87])/6 - 
       (29*t[88])/12 - (13*t[89])/4 + t[97]/3 + 16*t[98] - 22*t[99] + 
       t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      (-t[1]/3 + (4*t[2])/3 + (77*t[3])/24 - 8*t[4] + (73*t[5])/12 - 
       (31*t[6])/48 - (5*t[7])/2 - t[8]/6 - (19*t[9])/8 + (3*t[10])/2 - 
       (193*t[11])/48 + (29*t[12])/12 - (27*t[13])/8 - (329*t[14])/144 + 
       (19*t[15])/216 - (2*t[29])/3 - (7*t[30])/6 - (2*t[31])/3 - t[32]/2 + 
       t[33]/2 + (5*t[34])/3 - (2*t[38])/3 - t[39]/6 - (5*t[40])/6 - 
       t[43]/3 - t[44]/3 - (7*t[45])/3 + (5*t[47])/3 - (41*t[48])/48 + 
       t[49]/3 - (43*t[50])/16 - (2*t[51])/3 + (193*t[52])/48 - t[53]/3 - 
       (23*t[54])/48 - t[59]/3 - (175*t[60])/24 - (157*t[61])/8 + 
       (55*t[62])/48 + (219*t[63])/16 + (1505*t[64])/48 + (959*t[65])/72 + 
       (209*t[66])/8 - t[69] + t[72] - t[75] + (13*t[76])/3 + t[77]/3 - 
       (22*t[78])/3 + 6*t[79] - t[80] - (5*t[81])/6 + (29*t[82])/6 - 
       (7*t[83])/2 + t[84]/24 - t[85]/24 + (2*t[86])/3 - (35*t[87])/8 - 
       (35*t[88])/16 - (121*t[89])/48 + t[97]/3 + 16*t[98] - 22*t[99] + 
       t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[w, u, v]*
      ((-16*t[60])/3 + (15*t[61])/2 + (21*t[62])/2 - (95*t[63])/12 + 
       (203*t[64])/24 - (100*t[65])/9 + (11*t[66])/18 + (2*t[72])/3 + t[74] - 
       (5*t[75])/2 - t[78] - t[79]/4 - t[80]/2 - t[81]/3 + (7*t[82])/6 - 
       (7*t[83])/12 - (7*t[84])/6 + (5*t[85])/6 - (33*t[86])/4 + 
       (13*t[87])/6 + (13*t[88])/12 - (25*t[89])/6 - 2*t[99] + t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*
      ((-41*t[60])/48 + (5*t[61])/24 + (125*t[62])/192 - (173*t[63])/192 + 
       (317*t[64])/96 - (131*t[65])/96 + (515*t[66])/288 - t[69]/4 + 
       t[72]/12 + t[73]/24 - t[74]/6 - (3*t[75])/4 - t[76]/12 - t[78]/2 + 
       (19*t[79])/24 + t[80]/6 - t[81]/3 + t[82]/2 + (5*t[83])/4 - 
       (5*t[84])/12 - t[85]/4 + (17*t[86])/24 + (19*t[87])/12 + 
       (19*t[88])/24 - (19*t[89])/96 - t[98]/2 + t[99]/2 + t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      (-t[1]/24 + (7*t[2])/12 - (355*t[3])/96 - t[4]/12 - (205*t[5])/32 + 
       (3*t[6])/8 + (65*t[7])/24 + (57*t[8])/8 + (203*t[9])/32 + 
       (5*t[10])/48 - (53*t[11])/24 - (23*t[12])/32 - (77*t[13])/72 + 
       (601*t[14])/144 + (779*t[15])/432 - t[20]/2 + t[22]/2 + t[23]/6 - 
       t[28]/2 - (17*t[29])/24 - (3*t[30])/4 - t[31]/4 + (17*t[32])/24 - 
       (5*t[33])/6 + (7*t[34])/4 - t[36]/4 - t[37]/4 + t[40]/3 - t[41]/8 + 
       t[42]/8 - t[43]/8 - (27*t[44])/16 + t[46]/8 - t[47]/4 - 
       (67*t[48])/48 + (2*t[49])/3 + (5*t[50])/16 - (23*t[51])/96 - 
       (43*t[52])/48 - (2*t[53])/3 + (7*t[54])/8 + (11*t[59])/12 + 
       (119*t[60])/48 - t[61]/3 - (191*t[62])/32 - (911*t[63])/96 - 
       (97*t[64])/48 - (277*t[65])/144 - (1285*t[66])/144 - t[69]/2 - 
       t[70]/3 + t[71]/3 + t[72]/2 + (5*t[74])/12 - (3*t[75])/4 + t[76]/4 - 
       t[77]/4 - (5*t[78])/4 + t[80]/4 - (5*t[81])/12 + t[82]/2 + 
       (17*t[83])/4 + (67*t[84])/24 + (73*t[85])/24 + (17*t[86])/2 + 
       (43*t[87])/24 + (203*t[88])/48 + (59*t[89])/96 - (5*t[95])/6 + 
       t[96]/2 - t[97]/12 + 2*t[98] - 2*t[99] + (4*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      (-t[1]/3 + (11*t[2])/6 - (379*t[3])/24 + (5*t[4])/2 - (197*t[5])/12 + 
       (143*t[6])/48 + (43*t[7])/2 + (16*t[8])/3 + (143*t[9])/8 - 
       (3*t[10])/4 - (487*t[11])/48 - (23*t[12])/6 - (197*t[13])/72 + 
       (631*t[14])/144 + (317*t[15])/108 - (7*t[29])/6 - (17*t[30])/3 + 
       (4*t[31])/3 + t[32] - t[34]/3 + 2*t[36] + 2*t[37] + (4*t[38])/3 + 
       (4*t[39])/3 + (2*t[40])/3 + (2*t[43])/3 + (43*t[44])/6 + 
       (14*t[45])/3 - (10*t[47])/3 - (71*t[48])/48 - (65*t[49])/12 + 
       (91*t[50])/16 + (89*t[51])/24 - (401*t[52])/48 + (65*t[53])/12 + 
       (463*t[54])/48 + (29*t[59])/12 + (65*t[60])/24 + (1201*t[61])/24 + 
       (9185*t[62])/144 + (9571*t[63])/144 - (20653*t[64])/144 - 
       (5447*t[65])/216 + (15335*t[66])/216 - t[67]/2 - 2*t[68] + 4*t[69] + 
       6*t[70] - 6*t[71] - 2*t[72] - 4*t[73] + (9*t[74])/2 + 2*t[75] - 
       (23*t[76])/3 - (5*t[77])/3 + (79*t[78])/6 - (65*t[79])/4 - 29*t[80] - 
       (11*t[81])/2 + (70*t[83])/9 + (1253*t[84])/72 + (253*t[85])/72 - 
       (2851*t[86])/36 - (587*t[87])/72 - (11*t[88])/144 - (2767*t[89])/144 - 
       t[92]/2 + t[94]/2 - (2*t[97])/3 - 80*t[98] + 94*t[99] + 
       (4*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*(-t[3]/8 - t[4]/2 + (3*t[5])/16 + t[6]/4 + 
       t[7]/8 + (3*t[8])/8 + (9*t[9])/16 + (7*t[10])/8 + t[11]/8 + 
       (17*t[12])/16 + t[13]/8 - (5*t[14])/16 + t[15]/96 + t[22]/4 + 
       t[29]/2 + 2*t[60] - (3*t[61])/4 - t[62]/2 + t[64]/2 - (13*t[65])/12 - 
       t[66]/4 + t[82]/4 - t[83] - t[87] - t[88]/2 + t[99] + (11*t[100])/8) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, u, v]*(t[60]/4 - (3*t[61])/4 - 
       (11*t[62])/8 + (11*t[63])/8 - (37*t[64])/8 - (5*t[65])/6 + 
       (9*t[66])/4 + t[69] - t[74] - t[80] - t[81]/2 + t[82]/2 + t[83]/2 + 
       t[84]/4 - t[85] + 3*t[86] - t[87]/2 - t[88]/4 - (9*t[89])/8 + 
       (3*t[100])/2) + B8[w, u, v]*HPL[{1}, 1 - v]*(-t[59]/2 - t[60]/4 - 
       t[61]/4 - t[62]/8 - (39*t[63])/8 + (15*t[64])/8 + (31*t[65])/12 + 
       (5*t[66])/6 + t[74] + 2*t[80] + 3*t[86] - (5*t[89])/8 + 
       (3*t[100])/2) + B7[w, u, v]*HPL[{1}, 1 - v]*(-t[59]/2 - t[60]/4 - 
       (3*t[61])/4 + (9*t[62])/4 + (3*t[63])/4 - (5*t[64])/8 - (2*t[65])/3 + 
       t[66]/4 - 2*t[86] - t[89]/8 + (3*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w]*
      (t[59] - (5*t[60])/4 - (5*t[61])/4 - (55*t[62])/8 - (121*t[63])/8 + 
       (55*t[64])/8 - (67*t[65])/12 - (11*t[66])/6 + t[67]/2 - 5*t[74] + 
       3*t[79] + 3*t[80] - t[85] + 14*t[86] + t[87] + t[88]/2 - t[89]/8 + 
       (3*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v]*
      ((10*t[60])/3 - (119*t[61])/24 + (17*t[62])/16 + (205*t[63])/24 - 
       (299*t[64])/32 + (293*t[65])/36 + (61*t[66])/12 + (2*t[69])/3 - 
       (3*t[70])/8 + (3*t[71])/8 - (2*t[72])/3 - t[73]/2 + (9*t[75])/4 + 
       (3*t[78])/2 - (31*t[79])/48 + t[80]/4 + t[81]/3 + t[82]/3 - 
       (107*t[83])/48 + (17*t[84])/12 - t[85]/12 + (9*t[86])/16 - 
       (85*t[87])/24 - (85*t[88])/48 - t[89]/48 + (3*t[100])/2) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - v]*((3*t[60])/4 - (17*t[61])/2 - 
       (149*t[62])/16 - (123*t[63])/16 + (15*t[64])/8 + (229*t[65])/24 + 
       (71*t[66])/24 + 3*t[79] + 2*t[83] + t[84] - t[85] + (29*t[86])/2 - 
       2*t[87] - t[88] + (9*t[89])/8 + (3*t[100])/2) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((7*t[60])/3 - (5*t[61])/2 + (3*t[62])/4 + (77*t[63])/12 - t[64]/3 + 
       (205*t[65])/36 + (49*t[66])/18 - t[72]/6 - t[73]/2 + (5*t[75])/2 + 
       (3*t[78])/2 + t[81]/3 + t[82]/3 - (11*t[83])/3 + (7*t[84])/6 - 
       t[85]/3 - (13*t[87])/6 - (13*t[88])/12 + (7*t[89])/6 + (3*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-5*t[1])/12 + (23*t[2])/16 + (107*t[3])/48 + (2*t[4])/3 + 
       (91*t[5])/16 + (83*t[6])/24 - (373*t[7])/96 - (59*t[8])/96 - 
       (141*t[9])/32 - (337*t[10])/96 - (237*t[11])/32 - (191*t[12])/48 + 
       (5*t[13])/1728 - (961*t[14])/288 + (407*t[15])/192 - (2*t[18])/3 - 
       t[19]/2 + (5*t[21])/6 - t[22]/2 - (5*t[23])/3 + t[24]/3 + 
       (3*t[28])/4 - t[30]/2 - t[31]/2 - t[34]/6 - 2*t[35] + (3*t[37])/4 + 
       t[38]/12 + t[39]/2 + (11*t[41])/24 - (25*t[42])/24 + (13*t[43])/32 - 
       t[44]/4 - (91*t[45])/48 + (7*t[46])/24 - (11*t[47])/8 + 
       (137*t[48])/96 + (11*t[49])/16 - (7*t[50])/96 - (11*t[51])/24 - 
       (25*t[52])/96 - (11*t[53])/16 - (53*t[54])/96 + (41*t[59])/24 - 
       (65*t[60])/12 - (965*t[61])/48 + (1073*t[62])/192 - (1441*t[63])/192 + 
       (23*t[64])/6 - (397*t[65])/288 + (4823*t[66])/288 + t[70]/3 - 
       t[71]/3 - (7*t[74])/6 + (5*t[76])/12 - t[78]/6 + (13*t[79])/6 + 
       t[80]/6 - (5*t[81])/4 + (17*t[82])/12 + (7*t[83])/4 - t[84]/8 - 
       (11*t[85])/3 + (103*t[86])/8 + (35*t[87])/12 + (35*t[88])/24 - 
       (2*t[89])/3 + 2*t[98] - 2*t[99] + (7*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-11*t[60])/2 - (13*t[61])/2 - (37*t[62])/6 + (19*t[63])/6 + 
       (169*t[64])/12 - (7*t[65])/18 - (47*t[66])/18 - 2*t[74] + 4*t[79] - 
       t[81] + t[82] + (2*t[83])/3 - t[84]/3 - (19*t[85])/6 + (58*t[86])/3 + 
       (23*t[87])/6 + (23*t[88])/12 - (17*t[89])/12 + 2*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*
      ((-9*t[60])/2 - (7*t[61])/2 - (49*t[62])/6 - (25*t[63])/3 + 
       (127*t[64])/12 - (25*t[65])/18 + (44*t[66])/9 - 2*t[74] + 2*t[79] - 
       t[81] + t[82] + (2*t[83])/3 - t[84]/3 - (19*t[85])/6 + (46*t[86])/3 + 
       (23*t[87])/6 + (23*t[88])/12 - (11*t[89])/12 + 2*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[u, v, w]*(t[59]/2 - (9*t[60])/4 - 
       (3*t[61])/4 - (35*t[62])/12 - (31*t[63])/12 + (83*t[64])/24 - 
       (59*t[65])/36 + (131*t[66])/36 - t[74] - t[81]/2 + t[82]/2 + 
       (2*t[83])/3 - t[84]/3 - (17*t[85])/12 + (16*t[86])/3 + (25*t[87])/12 + 
       (25*t[88])/24 - (7*t[89])/24 + 2*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      (-t[60] - t[61] + (23*t[62])/6 - (11*t[63])/6 - (5*t[64])/3 + 
       (31*t[65])/9 + (7*t[66])/18 + 2*t[74] + t[79] + (2*t[83])/3 - 
       t[84]/3 + t[85]/3 - (11*t[86])/3 + t[87]/3 + t[88]/6 - t[89]/6 + 
       2*t[100]) + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-89*t[60])/24 - (13*t[61])/8 - (17*t[62])/12 - (19*t[63])/12 + 
       (235*t[64])/48 - (13*t[65])/24 + (25*t[66])/24 - t[74]/2 + 
       (5*t[79])/4 - t[81]/4 + t[82]/4 + (2*t[83])/3 - t[84]/3 - 
       (13*t[85])/24 + (43*t[86])/12 + (53*t[87])/24 + (53*t[88])/48 + 
       (7*t[89])/48 + 2*t[100]) + HPL[{1}, 1 - v]^2*Ot[u, v, w]*
      ((-55*t[61])/12 - (161*t[62])/48 - (37*t[63])/16 + t[64] + 
       (289*t[65])/72 + (161*t[66])/72 + t[79] + (2*t[83])/3 + t[84]/3 - 
       t[85]/3 + (35*t[86])/6 - (2*t[87])/3 - t[88]/3 + (3*t[89])/4 + 
       2*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[v, w, u]*
      ((-10*t[60])/3 + 5*t[61] - (26*t[63])/3 + (17*t[64])/6 - (88*t[65])/9 - 
       (35*t[66])/9 + (2*t[72])/3 - 4*t[75] - 2*t[78] - (4*t[81])/3 + 
       (2*t[82])/3 + (11*t[83])/3 - (5*t[84])/3 - (2*t[85])/3 + 
       (11*t[87])/3 + (11*t[88])/6 - (8*t[89])/3 - 2*t[99] + 2*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      (-t[99]/2 + (9*t[100])/4) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - v]*((2*t[59])/3 - (63*t[60])/16 - (151*t[61])/48 - 
       (601*t[62])/144 - (1319*t[63])/144 + (2053*t[64])/288 + 
       (749*t[65])/432 + (2005*t[66])/432 + (19*t[79])/8 - (19*t[81])/24 + 
       (19*t[82])/24 + (7*t[83])/9 - (7*t[84])/18 - (343*t[85])/144 + 
       (685*t[86])/72 + (455*t[87])/144 + (455*t[88])/288 - (227*t[89])/288 + 
       (7*t[100])/3) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((11*t[60])/16 - (101*t[61])/48 + (40*t[62])/9 + (433*t[63])/72 - 
       (841*t[64])/288 + (1765*t[65])/432 + (1019*t[66])/432 + t[69]/4 - 
       t[72]/4 + (3*t[74])/4 + (5*t[75])/4 + t[78] - (5*t[79])/8 - 
       (9*t[80])/4 + (19*t[81])/24 - t[82]/24 - (233*t[83])/72 + 
       (67*t[84])/72 + (67*t[85])/144 - (229*t[86])/72 - (479*t[87])/144 - 
       (479*t[88])/288 + (251*t[89])/288 - t[99]/2 + (29*t[100])/12) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      (-t[1]/3 + (37*t[2])/96 - (155*t[3])/192 + (35*t[4])/24 - 
       (629*t[5])/128 + (5*t[6])/4 + (289*t[7])/192 + (275*t[8])/192 + 
       (3221*t[9])/384 - t[10]/32 + (341*t[11])/192 + (1501*t[12])/384 + 
       (1169*t[13])/1728 + (33*t[14])/8 - (2671*t[15])/768 - t[22]/8 - 
       t[27]/6 + t[28]/3 + t[29]/6 - (5*t[30])/12 + t[32]/6 - t[33]/6 + 
       (2*t[34])/3 + (3*t[35])/4 - t[37]/4 - t[38]/6 + t[39]/3 - 
       (5*t[40])/12 + t[41]/48 - t[42]/48 - (71*t[43])/48 - (2*t[44])/3 - 
       (11*t[45])/48 - (13*t[46])/16 + (15*t[47])/8 + (29*t[48])/96 + 
       (47*t[49])/192 - (13*t[50])/32 - (47*t[51])/128 + (29*t[52])/32 - 
       (47*t[53])/192 + (5*t[54])/8 + (13*t[59])/48 + (365*t[60])/288 + 
       (665*t[61])/96 + (127*t[62])/192 - (883*t[63])/576 - 
       (3511*t[64])/576 - (3955*t[65])/864 + (3409*t[66])/864 - t[69]/2 + 
       (13*t[72])/36 + t[73]/8 - t[74]/6 + (11*t[75])/24 + (25*t[77])/24 - 
       t[78] + (19*t[79])/12 - (149*t[80])/24 + (7*t[81])/144 + 
       (43*t[82])/144 - (217*t[83])/72 - (17*t[84])/72 + (13*t[85])/288 - 
       (17*t[86])/3 - (793*t[87])/288 - (793*t[88])/576 - (1123*t[89])/576 + 
       t[97]/6 + (59*t[98])/12 - (17*t[99])/4 + (65*t[100])/24) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      (-t[3]/8 - t[4]/2 - t[5]/4 - (7*t[6])/16 + (5*t[7])/4 + (3*t[8])/4 + 
       t[9]/8 - t[10]/2 - (9*t[11])/16 + t[12]/4 - (11*t[13])/24 - 
       (23*t[14])/48 + (7*t[15])/24 + t[39]/4 - t[40]/4 + t[44]/4 + 
       (3*t[48])/16 + (3*t[50])/16 + t[51]/8 - (3*t[52])/16 + (9*t[54])/16 - 
       (203*t[60])/48 + (85*t[61])/144 - (2807*t[62])/288 - (593*t[63])/96 + 
       (53*t[64])/4 - (398*t[65])/27 + (1015*t[66])/216 + t[69]/2 - t[72]/4 - 
       4*t[74] - (5*t[75])/2 - t[77]/8 - 2*t[78] - (11*t[79])/16 - 
       (3*t[80])/2 - (7*t[81])/4 - t[82]/4 + (283*t[83])/36 - 
       (257*t[84])/72 - (5*t[85])/9 + (857*t[86])/144 + (329*t[87])/36 + 
       (329*t[88])/72 + (137*t[89])/96 + t[99] + (71*t[100])/24) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((23*t[1])/18 - t[2]/6 + (13*t[4])/6 - t[5]/6 + (13*t[6])/18 - t[7]/6 + 
       t[8]/6 - t[10]/6 - (11*t[12])/6 + (67*t[13])/18 + (11*t[14])/9 - 
       t[15]/18 + (5*t[42])/18 - t[43]/6 + (13*t[59])/9 - (7*t[60])/2 - 
       (19*t[61])/6 + (5*t[62])/6 - (13*t[63])/6 - (163*t[64])/12 + 
       (203*t[65])/18 + (197*t[66])/18 + 2*t[75] + 2*t[78] + t[81] + t[82] - 
       5*t[83] + (11*t[84])/6 - (7*t[85])/3 + 11*t[86] - 3*t[87] - 
       (3*t[88])/2 - (41*t[89])/12 + 3*t[100]) + B6[u, w, v]*HPL[{1}, 1 - v]*
      ((-3*t[60])/4 - (9*t[61])/4 - (3*t[63])/2 - (5*t[64])/8 - 
       (23*t[65])/12 + (9*t[66])/4 + t[77]/2 + t[79] - 2*t[80] - t[81]/2 + 
       t[82]/2 - t[84] - (3*t[85])/4 - t[86] + (3*t[87])/4 + (3*t[88])/8 - 
       (7*t[89])/8 + 3*t[100]) + B6[v, u, w]*HPL[{1}, 1 - v]*
      (-t[60]/2 - (5*t[61])/2 + (11*t[62])/8 - (19*t[63])/8 + (5*t[64])/4 + 
       (15*t[65])/4 + (11*t[66])/4 + t[74] + 2*t[80] + 2*t[86] - t[89]/4 + 
       3*t[100]) + B5[v, u, w]*HPL[{1}, 1 - v]*(-t[60]/2 - 2*t[61] + 
       (11*t[62])/4 + t[63]/4 - (7*t[64])/4 + (5*t[65])/6 + (17*t[66])/6 - 
       2*t[86] + t[89]/4 + 3*t[100]) + B5[v, w, u]*HPL[{1}, 1 - v]*
      (t[60]/2 - 3*t[61] + t[62]/4 - (9*t[63])/4 - t[64]/4 + (7*t[65])/6 + 
       (5*t[66])/6 + t[83] + t[85] + (3*t[89])/4 + 3*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*(-3*t[1] + (5*t[2])/2 + 
       28*t[3] - 13*t[4] + (129*t[5])/8 - (267*t[6])/8 - (175*t[7])/2 + 
       (169*t[8])/2 - (45*t[9])/8 + (119*t[10])/2 - (159*t[11])/8 - 
       (413*t[12])/8 + (433*t[13])/18 + (629*t[14])/24 - (7085*t[15])/144 + 
       3*t[17] - (14*t[19])/3 - 12*t[20] - 4*t[21] + 12*t[22] + 4*t[23] + 
       10*t[24] + 4*t[27] + 10*t[28] - t[29] + t[30] - 6*t[32] - 5*t[33] + 
       12*t[34] - 4*t[35] + 8*t[36] + 4*t[37] - 2*t[38] + (55*t[39])/2 - 
       17*t[40] - 3*t[41] + 3*t[42] + (5*t[43])/4 - (35*t[44])/2 + 40*t[45] + 
       t[46] - 29*t[47] + (39*t[48])/8 + 18*t[49] - (473*t[50])/8 - 
       (173*t[51])/8 + (457*t[52])/8 - 18*t[53] - (255*t[54])/8 + 4*t[57] - 
       13*t[59] - (79*t[60])/4 - (501*t[61])/4 - (329*t[62])/8 + 
       (321*t[63])/8 + (1721*t[64])/8 - (883*t[65])/12 - (3203*t[66])/12 - 
       t[68] - 8*t[69] - 4*t[70] + 4*t[71] - 8*t[72] + 124*t[73] + 14*t[74] - 
       156*t[75] + 116*t[76] + 3*t[77] - 123*t[78] + 8*t[79] + 30*t[80] + 
       23*t[81] - 40*t[82] + 20*t[83] + (93*t[84])/4 + (199*t[85])/4 + 
       39*t[86] - (183*t[87])/4 - (323*t[88])/8 + (79*t[89])/8 + t[90] - 
       t[91]/3 + 8*t[95] + 4*t[96] - 3*t[97] + 672*t[98] - 864*t[99] + 
       3*t[100]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (4*t[1] - (41*t[2])/2 + 9*t[3] + (169*t[4])/2 + (23*t[5])/8 - 
       (441*t[6])/8 - (153*t[7])/4 - (637*t[8])/4 + (319*t[9])/8 - 
       (435*t[10])/4 + (155*t[11])/8 - (287*t[12])/8 + (97*t[13])/3 - 
       (919*t[14])/24 - (8081*t[15])/144 + 6*t[17] + 4*t[18] - 4*t[19] + 
       4*t[20] + 16*t[21] + 12*t[22] - 18*t[23] + 28*t[24] + 4*t[25] - 
       4*t[26] - 4*t[27] + 24*t[28] - 5*t[29] - 6*t[30] + 2*t[31] + 6*t[32] + 
       10*t[33] + 24*t[34] - 4*t[35] + 2*t[36] + 12*t[37] + 2*t[39] + 
       3*t[40] - 2*t[41] + (13*t[42])/2 - 15*t[43] + (21*t[44])/2 + 
       16*t[45] + 12*t[46] - 24*t[47] + (109*t[48])/8 + 25*t[49] + 
       (9*t[50])/8 - (193*t[51])/8 + (15*t[52])/8 - 25*t[53] - 
       (225*t[54])/8 + 2*t[56] - 8*t[57] + 2*t[58] - 10*t[59] - 
       (13*t[60])/4 - (567*t[61])/4 + (973*t[62])/8 + (1035*t[63])/8 - 
       (361*t[64])/8 - (1057*t[65])/12 - (1333*t[66])/12 + t[68] - 8*t[69] - 
       12*t[70] + 12*t[71] - 12*t[72] + 98*t[73] - 10*t[74] - 98*t[75] + 
       109*t[76] - 6*t[77] - 129*t[78] + 36*t[79] - 54*t[80] + 6*t[81] + 
       19*t[82] - 24*t[83] - (23*t[84])/4 + (265*t[85])/4 - 232*t[86] - 
       (209*t[87])/4 - (209*t[88])/8 + (99*t[89])/8 + t[90] - t[91]/3 + 
       t[97] + 672*t[98] - 864*t[99] + 3*t[100]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-13*t[1])/12 + (91*t[2])/18 - (5*t[3])/32 - (1603*t[4])/96 - 
       (453*t[5])/128 - (859*t[6])/384 + (4403*t[7])/192 - (449*t[8])/64 + 
       (8125*t[9])/384 - (393*t[10])/64 + (111*t[11])/128 + 
       (1153*t[12])/128 - (3821*t[13])/576 + (25469*t[14])/1728 + 
       (33085*t[15])/6912 - (2*t[18])/3 - t[22]/8 - t[23]/6 - t[27]/6 - 
       (5*t[28])/3 + t[29]/6 - (23*t[30])/48 + 3*t[31] + (77*t[32])/48 - 
       (77*t[33])/48 + (113*t[34])/24 + (22*t[35])/3 + t[36] - t[37] - 
       (7*t[38])/6 + (11*t[39])/24 - (53*t[40])/24 - (35*t[41])/48 + 
       (35*t[42])/48 + (47*t[43])/96 + (77*t[44])/24 - (41*t[45])/48 + 
       t[46]/2 - (15*t[47])/8 - (1055*t[48])/128 + (5*t[49])/48 + 
       (2363*t[50])/384 - (27*t[51])/32 - (1211*t[52])/384 - (5*t[53])/48 - 
       (491*t[54])/384 + (41*t[59])/24 + (215*t[60])/192 + (2347*t[61])/192 - 
       (9181*t[62])/384 + (4687*t[63])/128 - (10169*t[64])/384 - 
       (2135*t[65])/192 - (12677*t[66])/1728 - t[67]/12 + (8*t[69])/3 - 
       (7*t[70])/6 + (10*t[71])/9 - t[72] - t[73]/4 - (47*t[74])/12 - 
       (11*t[75])/4 + (55*t[76])/12 - (3*t[77])/8 - (16*t[78])/3 - 
       (29*t[79])/12 + (23*t[80])/12 + (13*t[82])/8 + (77*t[83])/6 - 
       (225*t[84])/64 + (953*t[85])/192 + (173*t[86])/12 - (875*t[87])/192 - 
       (875*t[88])/384 - (1689*t[89])/128 + (7*t[97])/12 + 31*t[98] - 
       31*t[99] + 3*t[100]) + B6[u, w, v]*HPL[{1}, 1 - u]*
      (6*t[98] - 6*t[99] + 3*t[100]) + B6[v, w, u]*HPL[{1}, 1 - v]*
      ((-5*t[60])/4 - (3*t[61])/4 + (9*t[62])/8 - (29*t[63])/8 - 
       (23*t[64])/8 - (7*t[65])/3 - t[66]/6 + t[73] - t[75] + t[76] - t[78] - 
       t[81]/2 + t[82]/2 + t[85]/4 + (3*t[87])/4 + (3*t[88])/8 - 
       (9*t[89])/8 + 6*t[98] - 6*t[99] + 3*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((5*t[1])/3 - (7*t[2])/6 + (71*t[3])/24 + (19*t[4])/2 - (77*t[5])/12 - 
       (133*t[6])/48 - (13*t[7])/2 + (23*t[8])/6 - (69*t[9])/8 - 
       (11*t[10])/4 + (197*t[11])/48 - (25*t[12])/3 + (611*t[13])/72 - 
       (1157*t[14])/144 - (605*t[15])/216 + (4*t[29])/3 + (11*t[30])/6 - 
       (2*t[31])/3 + t[32]/2 - t[33]/2 - (13*t[34])/3 - 2*t[37] + 
       (4*t[38])/3 + (5*t[39])/6 + (7*t[40])/6 - t[43]/3 - t[44]/3 + 
       (14*t[45])/3 - (10*t[47])/3 + (109*t[48])/48 - (17*t[49])/12 - 
       (9*t[50])/16 + (41*t[51])/24 - (101*t[52])/48 + (17*t[53])/12 - 
       (5*t[54])/48 + t[59]/6 + (119*t[60])/24 + (133*t[61])/8 + 
       (481*t[62])/48 - (611*t[63])/16 - (1897*t[64])/48 - (535*t[65])/72 - 
       (611*t[66])/24 - t[69] + t[72] + 3*t[75] - (20*t[76])/3 - 
       (2*t[77])/3 + (32*t[78])/3 - 3*t[79] - 7*t[80] + (7*t[81])/6 - 
       (7*t[82])/6 + t[83]/2 + (31*t[84])/24 + (17*t[85])/24 - (13*t[86])/3 + 
       (27*t[87])/8 + (27*t[88])/16 - (7*t[89])/48 - (2*t[97])/3 - 32*t[98] + 
       34*t[99] + 3*t[100]) + HPL[{0, 1}, 1 - u]*M1[w, u, v]*
      ((5*t[1])/4 + (17*t[3])/16 + (67*t[4])/8 + (139*t[5])/32 + (9*t[6])/2 - 
       (99*t[7])/16 + (187*t[8])/16 - (535*t[9])/32 - (111*t[10])/16 + 
       (27*t[11])/16 - (147*t[12])/32 - (5*t[13])/6 - (889*t[14])/96 + 
       (761*t[15])/192 + t[22]/2 + t[25] + t[26]/2 + t[30] - 2*t[31] - 
       (9*t[34])/2 - 4*t[35] + t[37] + t[40]/2 + t[41]/2 - t[42]/2 + 
       (19*t[43])/8 + t[46] - (3*t[47])/2 + 4*t[48] - (25*t[49])/8 + t[50] + 
       (17*t[51])/16 - (3*t[52])/2 + (25*t[53])/8 - t[54]/4 + t[58]/2 + 
       (7*t[59])/4 - (23*t[60])/4 - (43*t[61])/4 + (75*t[62])/4 - 
       (111*t[63])/4 + (55*t[64])/4 - (209*t[65])/24 + (73*t[66])/24 + 
       t[69] + 2*t[74] - 7*t[76] - t[77]/2 + 4*t[78] + (7*t[80])/2 - 
       3*t[81] - t[82]/4 - (5*t[83])/2 + (13*t[84])/4 - (39*t[85])/4 - 
       t[86]/2 + (53*t[87])/4 + (53*t[88])/8 + (47*t[89])/8 - t[97] - 
       54*t[98] + 54*t[99] + 3*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^3*
      ((-9*t[1])/8 - t[2]/2 - (177*t[3])/32 - (139*t[4])/16 - (179*t[5])/64 - 
       (3*t[6])/16 + (279*t[7])/32 + (145*t[8])/32 + (767*t[9])/64 + 
       (551*t[10])/32 + (247*t[11])/32 + (499*t[12])/64 + (163*t[13])/16 + 
       (491*t[14])/64 + (69*t[15])/128 - t[22]/4 - t[25]/2 - t[26]/4 + 
       t[27] - 2*t[28] - t[29] + t[30]/2 + 3*t[31] + (9*t[34])/4 + 4*t[35] - 
       (3*t[37])/2 - t[39] - t[40]/4 - t[41]/4 + t[42]/4 - (53*t[43])/16 + 
       t[44] + t[45]/4 - t[46] + (25*t[47])/4 - (91*t[48])/16 + 
       (19*t[49])/16 + (17*t[50])/16 - (7*t[51])/32 - (13*t[52])/16 - 
       (19*t[53])/16 - (39*t[54])/16 - t[58]/4 - (29*t[59])/12 + 
       (649*t[60])/96 + (9*t[61])/32 - (1839*t[62])/64 + (4565*t[63])/192 - 
       (857*t[64])/192 + (8911*t[65])/288 - (1669*t[66])/288 - (3*t[69])/2 + 
       t[72]/6 - (2*t[73])/3 - (7*t[74])/2 + t[75]/3 + (7*t[76])/2 - 
       t[77]/4 - (7*t[78])/12 - (25*t[80])/4 + (11*t[81])/12 + 
       (25*t[82])/24 - (53*t[83])/12 - (139*t[84])/32 + (451*t[85])/96 + 
       (21*t[86])/4 - (137*t[87])/32 - (137*t[88])/64 + (1103*t[89])/192 - 
       t[91]/72 + t[93]/6 - t[97]/4 + 27*t[98] - 25*t[99] + (10*t[100])/3) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (t[1]/3 + (61*t[2])/24 - (539*t[3])/96 - (31*t[4])/48 - 
       (889*t[5])/192 - (185*t[6])/16 - (125*t[7])/96 + (181*t[8])/96 - 
       (589*t[9])/64 + (587*t[10])/32 + (1631*t[11])/96 + (1093*t[12])/192 + 
       (6629*t[13])/864 + (347*t[14])/192 - (1709*t[15])/384 + (5*t[18])/6 + 
       t[22]/4 + t[27]/6 - (4*t[28])/3 - t[29]/6 + (7*t[30])/6 - 
       (2*t[32])/3 + (2*t[33])/3 - (8*t[34])/3 - t[35]/2 + t[37]/2 + 
       (2*t[38])/3 - (4*t[39])/3 + (5*t[40])/3 + (67*t[41])/24 - 
       (13*t[42])/24 - (53*t[43])/24 + (2*t[44])/3 + (427*t[45])/24 + 
       t[46]/4 - (49*t[47])/4 + (5*t[48])/12 - (23*t[49])/12 - (3*t[50])/2 + 
       (23*t[51])/16 - t[52]/2 + (23*t[53])/12 + 2*t[54] - (53*t[59])/24 + 
       t[60]/12 + (56*t[61])/3 - (695*t[62])/48 - (197*t[63])/48 + 
       (677*t[64])/48 + (2429*t[65])/144 - (5309*t[66])/144 - t[67]/12 - 
       (14*t[69])/3 + (5*t[70])/2 - (29*t[71])/12 - (5*t[74])/6 + t[75]/2 - 
       (7*t[76])/3 - (3*t[77])/4 + (4*t[78])/3 + (17*t[79])/3 - 
       (455*t[80])/12 - (3*t[81])/2 + (5*t[82])/8 - (19*t[83])/4 + t[84] - 
       (31*t[85])/6 - (73*t[86])/4 + (16*t[87])/3 + (8*t[88])/3 + 
       (61*t[89])/8 - t[97]/3 - 19*t[98] + 19*t[99] + (7*t[100])/2) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (t[1]/3 - (73*t[2])/24 + (1753*t[3])/96 + (19*t[4])/4 + (89*t[5])/24 + 
       (1789*t[6])/192 - (207*t[7])/8 + (125*t[8])/4 - (3547*t[9])/96 + 
       (9*t[10])/8 - (1781*t[11])/192 - (13*t[12])/24 + (823*t[13])/288 - 
       (15901*t[14])/576 - (917*t[15])/432 + (31*t[29])/24 + (89*t[30])/12 + 
       (2*t[31])/3 - t[32]/2 + t[33]/2 - (23*t[34])/12 + (3*t[35])/2 + 
       t[36]/2 + t[37]/2 + (2*t[38])/3 + (5*t[39])/12 + (7*t[40])/12 + 
       t[41]/4 - t[42]/4 + t[43]/3 + (109*t[44])/12 + (7*t[45])/3 - 
       (7*t[47])/6 + (2387*t[48])/192 - (53*t[49])/24 - (679*t[50])/64 + 
       (77*t[51])/48 + (1781*t[52])/192 + (53*t[53])/24 + (2501*t[54])/192 - 
       (13*t[59])/8 - (3709*t[60])/96 + (659*t[61])/96 + (2411*t[62])/192 - 
       (475*t[63])/192 + (4589*t[64])/64 + (8465*t[65])/288 + 
       (6299*t[66])/288 - t[67]/12 - (14*t[69])/3 + (5*t[70])/2 - 
       (29*t[71])/12 + t[72]/2 + 2*t[73] - (7*t[74])/3 + (19*t[75])/2 - 
       (23*t[76])/6 - t[77]/3 + (22*t[78])/3 - (16*t[79])/3 - (3*t[80])/2 - 
       (2*t[81])/3 - t[82]/12 - (57*t[83])/4 - (343*t[84])/96 - 
       (923*t[85])/96 + (11*t[86])/6 + (903*t[87])/32 + (927*t[88])/64 + 
       (2329*t[89])/192 - t[97]/3 - 19*t[98] + 19*t[99] + (7*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      (-27*t[98] + 26*t[99] + (7*t[100])/2) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((-7*t[59])/4 - 
       (207*t[60])/16 - (937*t[61])/48 + (1747*t[62])/48 - (105*t[63])/16 + 
       (451*t[64])/32 - (1169*t[65])/72 + (625*t[66])/144 + t[68]/2 - t[69] + 
       (3*t[72])/2 - 2*t[76] - t[77] + (19*t[78])/4 + 3*t[79] + (5*t[80])/2 - 
       (7*t[81])/2 - (16*t[83])/3 - (539*t[84])/48 + (53*t[85])/48 - 
       (65*t[86])/3 + (721*t[87])/48 + (721*t[88])/96 - (435*t[89])/32 - 
       t[90]/2 - (3*t[96])/2 - (5*t[97])/2 - 27*t[98] + 26*t[99] + 
       (7*t[100])/2) + HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - w]*
      (-3*t[1] - (181*t[4])/64 + t[5]/4 - t[7]/2 - t[8]/2 - (17*t[9])/32 + 
       (57*t[10])/128 - (103*t[11])/16 + (741*t[12])/128 - (455*t[13])/192 - 
       (19949*t[14])/2304 + (1921*t[15])/384 + 3*t[26] - 3*t[38] + 
       (379*t[49])/128 - (37*t[51])/256 - (235*t[53])/128 + (109*t[54])/64 + 
       (3*t[59])/2 - (693*t[60])/64 - (339*t[61])/64 + (1501*t[62])/128 + 
       (323*t[63])/128 + (705*t[64])/128 + (5665*t[65])/576 + 
       (1703*t[66])/64 + t[69] - t[72]/4 - 2*t[75] - (9*t[76])/16 + 
       (65*t[83])/24 - (157*t[84])/64 - (157*t[85])/64 - 2*t[86] - 
       (335*t[87])/64 - (331*t[88])/128 + (957*t[89])/128 + (15*t[100])/4) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-13*t[1])/18 + (425*t[2])/36 - (815*t[3])/288 - (163*t[4])/24 + 
       (665*t[5])/144 + (2347*t[6])/576 + (259*t[7])/12 + (223*t[8])/18 + 
       (361*t[9])/32 - (541*t[10])/48 + (445*t[11])/576 + (91*t[12])/36 - 
       (1601*t[13])/864 + (4307*t[14])/1728 + (1697*t[15])/162 - 2*t[20] + 
       2*t[22] - (23*t[29])/72 - (47*t[30])/18 + (8*t[31])/9 + 
       (13*t[32])/12 - (7*t[33])/12 + (31*t[34])/36 - 4*t[35] + 
       (25*t[36])/6 + (2*t[37])/3 + (2*t[38])/9 + (31*t[39])/72 - 
       (7*t[40])/72 - t[41]/2 + t[42]/2 + (13*t[43])/9 + (119*t[44])/18 + 
       (7*t[45])/9 - t[46]/2 - (14*t[47])/9 - (883*t[48])/576 - 
       (793*t[49])/144 + (791*t[50])/192 + (733*t[51])/288 - 
       (2629*t[52])/576 + (793*t[53])/144 + (1739*t[54])/576 - 
       (55*t[59])/72 - (719*t[60])/288 + (499*t[61])/96 + (15245*t[62])/576 + 
       (723*t[63])/64 - (23663*t[64])/576 + (19459*t[65])/864 + 
       (8131*t[66])/288 - t[69]/3 - (5*t[72])/3 + (11*t[74])/6 - 
       (7*t[75])/3 - (10*t[76])/9 - (10*t[77])/9 + (16*t[78])/9 - 
       (5*t[79])/6 + (8*t[80])/3 - (197*t[81])/36 + (109*t[82])/18 - 
       (23*t[83])/3 + (2411*t[84])/288 - (101*t[85])/288 - (277*t[86])/18 + 
       (243*t[87])/32 + (371*t[88])/64 + (1483*t[89])/576 - 2*t[95] - 
       t[97]/9 - (37*t[98])/3 + (61*t[99])/3 + (23*t[100])/6) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((749*t[1])/216 - (37*t[2])/48 - (2*t[3])/9 - (227*t[4])/48 + 
       (891*t[5])/32 + (263*t[6])/72 + (325*t[7])/144 + (1675*t[8])/144 - 
       (2023*t[9])/72 - (997*t[10])/32 + (2225*t[11])/144 - (1105*t[12])/72 + 
       (30461*t[13])/2592 - (14755*t[14])/1728 + (11543*t[15])/1728 + 
       t[17]/4 - t[22]/18 - t[24]/2 + t[26]/4 - t[27]/3 + (7*t[28])/6 + 
       t[29]/3 - t[30]/3 - t[31] - (7*t[32])/18 + (7*t[33])/18 - 
       (65*t[34])/36 + (3*t[35])/2 + (2*t[37])/3 + (7*t[38])/18 - t[39]/18 + 
       (25*t[40])/36 - (5*t[41])/72 + (5*t[42])/72 + (545*t[43])/72 - 
       (13*t[44])/3 - t[45]/2 - (199*t[46])/72 + (73*t[47])/36 + 
       (1177*t[48])/144 - (427*t[49])/288 - (235*t[50])/144 + 
       (2029*t[51])/576 + (271*t[52])/144 + (427*t[53])/288 + (5*t[54])/24 + 
       t[58]/4 - (52*t[59])/27 - (425*t[60])/48 + (3119*t[61])/144 + 
       (913*t[62])/288 - (2113*t[63])/96 + (3011*t[64])/32 - (349*t[65])/36 - 
       (2717*t[66])/108 + t[67]/12 - (7*t[69])/6 + (2*t[70])/3 - 
       (2*t[71])/3 + t[72] - (11*t[73])/4 + (95*t[74])/18 + (13*t[75])/4 - 
       (55*t[76])/9 - (5*t[77])/4 + (34*t[78])/9 - (53*t[79])/6 + 
       (289*t[80])/6 - (217*t[81])/72 + (49*t[82])/18 - (19*t[83])/6 - 
       (3*t[84])/4 - (1223*t[85])/144 + (223*t[86])/36 + (2971*t[87])/144 + 
       (2971*t[88])/288 + (3085*t[89])/288 - (4*t[97])/9 - (245*t[98])/6 + 
       (233*t[99])/6 + (47*t[100])/12) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - w]*(t[59]/6 - (22*t[60])/3 - 7*t[61] - 
       (67*t[62])/6 - (77*t[63])/6 + (35*t[64])/2 - (7*t[65])/9 + 
       (22*t[66])/9 - 2*t[74] + (13*t[79])/3 - (4*t[80])/3 - (4*t[81])/3 + 
       (4*t[82])/3 + (4*t[83])/3 - (2*t[84])/3 - 4*t[85] + (74*t[86])/3 + 
       (16*t[87])/3 + (8*t[88])/3 - (11*t[89])/6 + 4*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*Omega2[w, u, v]*((-33*t[2])/4 + (11*t[3])/4 - 
       t[4] + (71*t[5])/4 + (15*t[6])/2 - (161*t[7])/8 - (63*t[8])/8 - 
       (103*t[9])/8 + (75*t[10])/8 - (203*t[11])/8 - (5*t[12])/4 - 
       (2155*t[13])/144 - (169*t[14])/24 - (81*t[15])/16 + 2*t[19] - 
       2*t[21] + 2*t[23] + 3*t[28] - 2*t[30] - 4*t[31] + t[37] + 2*t[39] + 
       t[41]/2 - t[42]/2 - t[43]/8 - 3*t[44] - (3*t[45])/4 - (3*t[46])/2 - 
       (3*t[47])/2 + (61*t[48])/8 - (3*t[49])/4 - (19*t[50])/8 + t[51]/2 + 
       (19*t[52])/8 + (3*t[53])/4 + (47*t[54])/8 + 2*t[59] - (11*t[60])/2 - 
       27*t[61] + 44*t[62] + 19*t[63] + (43*t[64])/2 - (73*t[65])/6 + 
       (337*t[66])/6 + 4*t[69] + 2*t[75] + 8*t[79] - 10*t[80] - t[81] + 
       5*t[82] - 12*t[83] + t[84] - (17*t[85])/2 - 41*t[86] + (5*t[87])/2 + 
       (5*t[88])/4 - (5*t[89])/4 - 8*t[99] + 4*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u]*((-21*t[2])/2 - (83*t[3])/8 + 
       t[4] - (139*t[5])/8 + 3*t[6] - (19*t[7])/2 + (9*t[8])/2 + 
       (33*t[9])/8 + (49*t[10])/4 - (33*t[11])/2 - (21*t[12])/8 - 
       (9*t[13])/2 + 4*t[14] - (76*t[15])/9 + 2*t[20] - 2*t[22] - t[29]/2 - 
       3*t[30] - t[31] - t[32]/2 + t[33] + 2*t[34] + 4*t[35] - 3*t[36] + 
       t[37] + t[41]/2 - t[42]/2 - (3*t[43])/2 - (13*t[44])/4 + t[46]/2 + 
       t[47] + (9*t[48])/4 + 3*t[49] - (17*t[50])/4 - (9*t[51])/8 + 
       (17*t[52])/4 - 3*t[53] + (17*t[54])/2 + t[59] + (43*t[60])/4 - 
       8*t[61] - (157*t[62])/8 - (255*t[63])/8 + 26*t[64] - (41*t[65])/4 - 
       (77*t[66])/4 + 2*t[69] + 2*t[72] + t[74] + 3*t[75] + t[77] - 5*t[80] + 
       2*t[81] - 2*t[82] + 9*t[83] + (7*t[84])/2 + (13*t[85])/2 + 10*t[86] - 
       (3*t[87])/2 + (5*t[88])/4 + (69*t[89])/8 - 2*t[95] - 8*t[99] + 
       4*t[100]) + HPL[{0, 1}, 1 - u]*M1[w, v, u]*
      ((-2*t[1])/3 + (13*t[2])/12 - (7*t[3])/3 - (23*t[4])/6 - (41*t[5])/8 + 
       (11*t[6])/4 + (349*t[7])/24 + (167*t[8])/24 + (85*t[9])/6 + 
       (3*t[10])/8 + (317*t[11])/24 + (143*t[12])/24 + (3235*t[13])/432 + 
       (28*t[14])/3 - (15*t[15])/8 - t[27]/3 - (4*t[28])/3 + t[29]/3 + 
       (2*t[30])/3 + 2*t[31] + t[32]/3 - t[33]/3 + (4*t[34])/3 + 2*t[35] - 
       t[37] - t[38]/3 - t[39]/3 - (5*t[40])/6 + t[41]/6 - t[42]/6 - 
       (17*t[43])/24 + (2*t[44])/3 + (11*t[45])/12 - t[46]/2 + 3*t[47] - 
       (65*t[48])/24 + (7*t[49])/12 + t[50]/8 + (7*t[52])/8 - (7*t[53])/12 - 
       t[54]/8 - (3*t[59])/4 + (107*t[60])/12 + (319*t[61])/12 - 
       (845*t[62])/24 - (11*t[63])/24 + (73*t[64])/8 + (235*t[65])/36 - 
       (1021*t[66])/36 - t[69] - 2*t[74] + (7*t[76])/6 + 2*t[77] - 
       (2*t[78])/3 + t[80]/3 + (3*t[81])/2 - (3*t[82])/2 + t[83]/2 + 
       t[84]/4 + (61*t[85])/12 + 19*t[86] - (77*t[87])/12 - (77*t[88])/24 - 
       (3*t[89])/8 + t[97]/6 + 8*t[98] - 8*t[99] + 4*t[100]) + 
     HPL[{0, 1}, 1 - u]*M1[u, v, w]*((5*t[1])/6 - (7*t[2])/6 + 
       (155*t[3])/48 + (115*t[4])/24 + (335*t[5])/32 - 4*t[6] - 
       (709*t[7])/48 + (61*t[8])/48 - (2249*t[9])/96 - (5*t[10])/16 - 
       (431*t[11])/48 - (937*t[12])/96 - (641*t[13])/108 - (449*t[14])/32 + 
       (1061*t[15])/192 - t[19] + t[21] + t[22]/2 - t[23] + (2*t[27])/3 + 
       (2*t[28])/3 - (2*t[29])/3 + (2*t[30])/3 - 2*t[31] - (2*t[32])/3 + 
       (2*t[33])/3 - (8*t[34])/3 - 6*t[35] + 2*t[37] + (2*t[38])/3 - 
       t[39]/3 + (5*t[40])/3 - (7*t[41])/12 + (7*t[42])/12 + (49*t[43])/24 - 
       t[44]/3 + t[45]/6 + t[46] - 4*t[47] + (17*t[48])/12 - (2*t[49])/3 - 
       (3*t[50])/4 - (5*t[52])/4 + (2*t[53])/3 - (9*t[54])/4 - t[59]/4 - 
       (22*t[60])/3 - (98*t[61])/3 + (775*t[62])/24 - (275*t[63])/24 - 
       (7*t[64])/8 - (529*t[65])/72 + (1729*t[66])/72 + 2*t[74] - 
       (7*t[76])/3 - t[77]/2 + (4*t[78])/3 + (17*t[80])/6 - 2*t[81] + 
       (11*t[82])/4 + t[84]/2 - (11*t[85])/3 - (17*t[86])/2 + (19*t[87])/3 + 
       (19*t[88])/6 + (3*t[89])/2 - t[97]/3 - 22*t[98] + 22*t[99] + 
       4*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
      (t[1]/24 + (7*t[2])/48 + (287*t[3])/384 - (35*t[4])/32 + 
       (175*t[5])/192 + (749*t[6])/768 - (19*t[7])/16 + (121*t[8])/48 - 
       (27*t[9])/128 + (19*t[10])/64 - (901*t[11])/768 + (19*t[12])/96 - 
       (983*t[13])/1152 + (1753*t[14])/2304 - (217*t[15])/432 + 
       (47*t[29])/96 - (5*t[30])/12 - t[31]/6 - t[32]/16 + t[33]/16 + 
       (17*t[34])/48 - (3*t[36])/8 - t[37]/4 - t[38]/6 - (13*t[39])/96 - 
       (11*t[40])/96 - t[43]/12 - (43*t[44])/48 - (7*t[45])/12 + 
       (5*t[47])/12 + (235*t[48])/768 + (127*t[49])/192 - (239*t[50])/256 - 
       (175*t[51])/384 + (973*t[52])/768 - (127*t[53])/192 + 
       (589*t[54])/768 - (5*t[59])/96 - (881*t[60])/384 - (9235*t[61])/1152 + 
       (137*t[62])/2304 - (297*t[63])/256 + (1549*t[64])/256 + 
       (2063*t[65])/3456 + (30517*t[66])/3456 - t[69]/2 - t[72]/4 + 
       (3*t[74])/8 + (17*t[75])/12 + (13*t[76])/12 + t[77]/12 - 
       (11*t[78])/6 + (115*t[79])/48 + t[80] - (7*t[81])/48 + (41*t[82])/24 - 
       (295*t[83])/72 - (1313*t[84])/1152 - (145*t[85])/1152 + 
       (725*t[86])/144 - (4433*t[87])/1152 - (4433*t[88])/2304 - 
       (1483*t[89])/768 + t[97]/12 + (25*t[98])/4 - (29*t[99])/4 + 
       (97*t[100])/24) + HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - w]*
      ((11*t[1])/4 + t[3]/4 - (299*t[4])/192 + t[5]/8 - (3*t[6])/4 - 
       (91*t[7])/96 - (139*t[8])/96 - (3*t[9])/8 - (455*t[10])/384 + 
       (91*t[11])/96 - (2779*t[12])/384 + (703*t[13])/576 - 
       (503*t[14])/2304 - (1507*t[15])/1152 - 3*t[26] + t[27]/4 - 
       (7*t[37])/48 + 3*t[38] - (125*t[46])/48 - (3*t[48])/8 + 
       (1027*t[49])/384 + t[50]/8 + (3323*t[51])/768 - t[52]/8 - 
       (955*t[53])/384 + (77*t[54])/64 - (5*t[59])/2 - (77*t[60])/192 - 
       (1999*t[61])/576 - (8131*t[62])/1152 + (3433*t[63])/384 - 
       (1555*t[64])/384 - (12319*t[65])/1728 - (26105*t[66])/1728 - 
       t[67]/48 + t[70]/24 - (5*t[71])/48 + (31*t[74])/24 - (9*t[75])/4 - 
       (9*t[76])/16 + (65*t[79])/48 + t[80]/4 + (629*t[83])/144 - 
       (1301*t[84])/576 - (661*t[85])/576 - (35*t[86])/144 - 
       (3839*t[87])/576 - (3803*t[88])/1152 - (3599*t[89])/384 + 
       (25*t[100])/6) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*(-t[1]/6 - t[2]/48 - (125*t[3])/96 + (15*t[4])/32 + 
       (41*t[5])/48 + (439*t[6])/192 - (199*t[7])/32 + (65*t[8])/12 - 
       (93*t[9])/32 + (49*t[10])/64 - (431*t[11])/192 - (41*t[12])/192 - 
       (35*t[13])/288 + (1015*t[14])/1152 + (1843*t[15])/1728 + t[28]/2 + 
       (37*t[29])/96 - (23*t[30])/96 - t[31]/12 - (19*t[32])/32 + 
       (19*t[33])/32 + t[34]/12 - t[35]/2 - (3*t[36])/8 + t[37]/4 - 
       t[38]/12 - (5*t[39])/96 - (7*t[40])/96 - (7*t[43])/24 - (5*t[44])/3 - 
       (7*t[45])/24 - t[46]/8 + (5*t[47])/24 + (425*t[48])/192 + 
       (29*t[49])/192 - (129*t[50])/64 - (89*t[51])/384 + (419*t[52])/192 - 
       (29*t[53])/192 + (323*t[54])/192 + (7*t[59])/48 - (1061*t[60])/288 + 
       (41*t[61])/48 + (23*t[62])/3 - (2221*t[63])/288 - (2825*t[64])/576 - 
       (1493*t[65])/864 + (4307*t[66])/864 + (5*t[69])/12 + (5*t[72])/9 - 
       t[73]/6 + t[74] + (3*t[75])/4 + (13*t[76])/24 + (13*t[77])/24 - 
       (11*t[78])/6 + (17*t[79])/24 - (3*t[80])/2 - (11*t[81])/18 + 
       (31*t[82])/72 + (59*t[83])/36 - (263*t[84])/144 - (35*t[85])/36 - 
       (85*t[86])/12 - (65*t[87])/288 - (65*t[88])/576 - (251*t[89])/576 + 
       t[97]/24 + (17*t[98])/12 - (3*t[99])/4 + (107*t[100])/24) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*
      ((-177*t[60])/4 - (49*t[61])/4 - (215*t[62])/8 + (579*t[63])/8 + 
       (245*t[64])/8 + 2*t[65] + (25*t[66])/12 - 3*t[69] + 3*t[70] - 
       3*t[71] + (51*t[79])/2 + 6*t[80] - (19*t[81])/2 + (19*t[82])/2 + 
       3*t[83] + (3*t[84])/4 - 39*t[85] - (5*t[86])/2 + (87*t[87])/2 + 
       (87*t[88])/4 + (49*t[89])/8 + (9*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]^2*(t[1]/3 - (7*t[2])/6 + 
       (49*t[3])/96 + (29*t[4])/48 + (357*t[5])/64 - (17*t[6])/16 - 
       (509*t[7])/96 + (365*t[8])/96 - (2191*t[9])/192 + (147*t[10])/32 + 
       (191*t[11])/96 - (395*t[12])/192 + (2801*t[13])/864 - 
       (1333*t[14])/192 + (385*t[15])/128 + t[22]/4 + (2*t[27])/3 - t[28]/3 - 
       (2*t[29])/3 + (2*t[30])/3 - (2*t[32])/3 + (2*t[33])/3 - (8*t[34])/3 - 
       t[35] + (2*t[38])/3 - (5*t[39])/6 + (5*t[40])/3 + t[41]/24 - 
       t[42]/24 + t[43]/6 + t[44]/6 + (13*t[45])/24 + t[46]/4 + (5*t[47])/4 - 
       (5*t[48])/6 - (11*t[49])/12 - t[50]/2 + (13*t[51])/16 - (3*t[52])/2 + 
       (11*t[53])/12 - (3*t[54])/2 - t[59]/8 - (10*t[60])/3 - (83*t[61])/12 + 
       (215*t[62])/48 - (487*t[63])/48 + (97*t[64])/16 + (325*t[65])/144 + 
       (419*t[66])/144 - (7*t[76])/3 - (3*t[77])/4 + (4*t[78])/3 - 
       (5*t[80])/12 - t[81] + (9*t[82])/8 + t[84]/2 - (13*t[85])/6 + 
       (3*t[86])/4 + (29*t[87])/6 + (29*t[88])/12 + (11*t[89])/4 - t[97]/3 - 
       19*t[98] + 20*t[99] + (39*t[100])/8) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - v]^2*(t[1]/3 - (7*t[2])/12 - (71*t[3])/96 + 
       (19*t[4])/4 - (89*t[5])/24 - (275*t[6])/192 + t[7]/2 + t[8]/24 - 
       (69*t[9])/32 - (7*t[10])/4 + (451*t[11])/192 - (35*t[12])/12 + 
       (105*t[13])/32 - (1645*t[14])/576 + (10*t[15])/27 - (5*t[29])/24 + 
       (7*t[30])/6 + t[31]/6 + t[32]/4 - t[33]/4 - (23*t[34])/12 + t[36]/2 + 
       (2*t[38])/3 + (5*t[39])/12 + (7*t[40])/12 + t[43]/12 + (13*t[44])/12 + 
       (7*t[45])/3 - (5*t[47])/3 + (155*t[48])/192 - (35*t[49])/24 + 
       (81*t[50])/64 + (59*t[51])/48 - (499*t[52])/192 + (35*t[53])/24 - 
       (67*t[54])/192 + (5*t[59])/24 + (123*t[60])/32 + (553*t[61])/96 + 
       (1241*t[62])/192 - (2377*t[63])/192 - (1925*t[64])/64 + 
       (967*t[65])/96 - (1451*t[66])/288 + (11*t[69])/12 + t[70]/6 - 
       t[71]/6 + t[72]/2 + t[74] + 3*t[75] - (23*t[76])/6 - t[77]/3 + 
       (47*t[78])/6 - (37*t[79])/12 - (43*t[80])/12 + (25*t[81])/24 - 
       (31*t[82])/24 - (3*t[83])/8 + (93*t[84])/32 - (9*t[85])/32 - 
       (31*t[86])/12 + (11*t[87])/32 + (11*t[88])/64 + (177*t[89])/64 - 
       t[97]/3 - 19*t[98] + 20*t[99] + (39*t[100])/8) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-25*t[1])/36 - (97*t[2])/24 - (3313*t[3])/576 + (133*t[4])/6 - 
       (3695*t[5])/576 + (14279*t[6])/1152 - (667*t[7])/96 - (127*t[8])/32 + 
       (59*t[9])/96 + (353*t[10])/72 + (1901*t[11])/1152 - (55*t[12])/64 + 
       (593*t[13])/576 + (317*t[14])/384 - (1973*t[15])/1152 - t[19]/2 - 
       t[21]/2 + t[22]/4 + t[23]/2 + (2*t[27])/3 - (5*t[28])/6 + 
       (5*t[29])/16 - t[30]/6 + (2*t[31])/3 - (7*t[32])/24 + (7*t[33])/24 + 
       t[34]/24 + t[35] - (3*t[36])/4 + (3*t[37])/2 - t[38]/6 - 
       (29*t[39])/48 + (3*t[40])/16 + (23*t[41])/72 - (29*t[42])/72 - 
       t[43]/36 - (17*t[44])/8 - (257*t[45])/72 - (7*t[46])/12 + 
       (151*t[47])/18 - (1189*t[48])/384 + (81*t[49])/32 - (255*t[50])/128 - 
       (55*t[51])/192 + (829*t[52])/384 - (81*t[53])/32 - (1379*t[54])/384 + 
       (37*t[59])/144 + (1799*t[60])/192 - (11579*t[61])/576 + 
       (34793*t[62])/1152 + (20095*t[63])/1152 - (29371*t[64])/1152 - 
       (38429*t[65])/1728 + (37865*t[66])/1728 + t[67]/12 + (8*t[69])/3 - 
       t[70] + t[71] + t[72]/2 + (13*t[74])/12 - (3*t[75])/2 + 
       (19*t[76])/12 - (23*t[77])/36 - (13*t[78])/3 - (31*t[79])/8 - 
       (413*t[80])/36 + (29*t[81])/24 + (119*t[82])/72 + (5*t[83])/36 - 
       (1145*t[84])/576 + (5135*t[85])/576 - (367*t[86])/24 - 
       (7889*t[87])/576 - (7889*t[88])/1152 - (3017*t[89])/1152 + t[97]/12 + 
       (11*t[98])/2 - (15*t[99])/2 + (59*t[100])/12) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      ((-11*t[60])/2 - (43*t[61])/6 - (14*t[62])/3 - (23*t[63])/3 + 
       (23*t[64])/12 + (11*t[65])/3 + (31*t[66])/3 - t[74] + t[75] + t[78] + 
       3*t[79] + t[82] - (4*t[83])/3 + t[84]/2 - (5*t[85])/2 + (49*t[86])/3 + 
       (5*t[87])/6 + (5*t[88])/12 - (25*t[89])/12 + 5*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      (t[1]/4 - (5*t[2])/4 - (79*t[3])/32 + (77*t[4])/8 - (97*t[5])/16 - 
       (23*t[6])/64 + (3*t[7])/8 + 2*t[8] - (45*t[9])/32 - (19*t[10])/16 + 
       (191*t[11])/64 - (35*t[12])/8 + (1183*t[13])/288 - (235*t[14])/192 + 
       (91*t[15])/288 + t[29]/8 + (13*t[30])/4 + t[31]/2 + t[32]/2 - 
       t[33]/2 - (11*t[34])/4 + t[36]/2 + t[37]/2 + t[38] + t[39]/2 + t[40] + 
       t[43]/4 + (3*t[44])/4 + (7*t[45])/2 - (5*t[47])/2 + (111*t[48])/64 - 
       (21*t[49])/16 + (135*t[50])/64 + (45*t[51])/32 - (263*t[52])/64 + 
       (21*t[53])/16 + (17*t[54])/64 - t[59]/4 + (187*t[60])/8 + 
       (91*t[61])/16 - (227*t[62])/32 - (133*t[63])/32 - (1099*t[64])/32 + 
       (1693*t[65])/48 - (53*t[66])/4 + t[67]/4 + (3*t[68])/4 - 3*t[70] + 
       3*t[71] - t[72] + 5*t[73] + (15*t[74])/2 - (3*t[75])/2 - 5*t[76] - 
       t[77]/2 - (27*t[78])/4 - (7*t[79])/4 - 5*t[80] + t[81] + (3*t[82])/4 - 
       (3*t[83])/2 + (9*t[84])/2 + (125*t[85])/8 - (5*t[86])/2 - 
       (213*t[87])/16 - (213*t[88])/32 + (193*t[89])/16 - t[91]/24 + 
       t[92]/4 - t[93]/2 - t[94]/4 + t[97]/4 + 21*t[98] - 26*t[99] + 
       5*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-t[1] - (343*t[2])/12 - (557*t[3])/24 + 
       (203*t[4])/6 + (15*t[5])/2 + (133*t[6])/6 - (151*t[7])/3 + 
       (31*t[8])/2 - (323*t[9])/12 + (31*t[10])/2 + (8*t[11])/3 - 
       (11*t[12])/12 + (2287*t[13])/72 + (23*t[14])/8 + (539*t[15])/48 - 
       2*t[22] + 7*t[28] - (19*t[29])/2 + (7*t[30])/3 - t[32]/2 + 
       (16*t[33])/3 - (2*t[34])/3 + 9*t[35] - 8*t[36] + t[37] + t[41]/2 - 
       t[42]/2 - 3*t[43] - (77*t[44])/12 + t[47] + (41*t[48])/4 + 
       (31*t[49])/12 - (215*t[50])/12 - (31*t[51])/24 + (215*t[52])/12 - 
       (31*t[53])/12 + (19*t[54])/2 + (20*t[59])/3 + (137*t[60])/6 + 
       (301*t[61])/12 + (1375*t[62])/24 - (395*t[63])/24 - (1687*t[64])/24 + 
       (2143*t[65])/36 - (1793*t[66])/36 - (2*t[67])/3 + 4*t[69] - 2*t[70] + 
       2*t[71] - 6*t[73] - (17*t[74])/3 + 3*t[75] + 2*t[76] + 8*t[77] + 
       8*t[78] - t[79] - 13*t[80] + (31*t[81])/3 - (31*t[82])/3 - 17*t[83] + 
       (191*t[84])/12 + (17*t[85])/12 - 93*t[86] - (199*t[87])/12 - 
       (175*t[88])/24 + (427*t[89])/12 - (4*t[95])/3 + 24*t[98] - 26*t[99] + 
       5*t[100]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-29*t[60])/8 - (59*t[61])/8 - (1217*t[62])/144 + (107*t[63])/144 + 
       (817*t[64])/36 - (2209*t[65])/216 - (895*t[66])/108 - (11*t[74])/4 - 
       2*t[75] - 2*t[78] + (15*t[79])/8 - (19*t[81])/12 - (5*t[82])/12 + 
       (121*t[83])/18 - (97*t[84])/36 + (83*t[85])/72 + (323*t[86])/72 + 
       (425*t[87])/72 + (425*t[88])/144 + (583*t[89])/144 + (31*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (-5*t[59] - 17*t[60] + 18*t[61] + (77*t[62])/4 - (257*t[63])/4 - 
       15*t[64] - (11*t[65])/3 - (106*t[66])/3 - 2*t[67] + 4*t[72] + 
       3*t[73] + 18*t[74] - 15*t[75] - 9*t[78] + 6*t[79] - 2*t[81] + t[82] + 
       24*t[83] - (19*t[84])/2 + 6*t[85] - 41*t[86] + 14*t[87] + 7*t[88] - 
       (21*t[89])/2 + 6*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*(2*t[59] - (7*t[60])/2 - 
       (3*t[61])/2 - (41*t[62])/6 + (13*t[63])/3 + (23*t[64])/3 - 
       (197*t[65])/18 + (95*t[66])/18 + t[67]/2 - 5*t[74] - (3*t[79])/2 - 
       t[81] + t[82] + (4*t[83])/3 - (2*t[84])/3 - (17*t[85])/6 + 
       (73*t[86])/6 + (25*t[87])/6 + (25*t[88])/12 - (7*t[89])/12 + 
       6*t[100]) + HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u]*
      ((-29*t[2])/4 - (13*t[3])/4 + (5*t[4])/2 - (31*t[5])/2 - (3*t[6])/2 + 
       (57*t[7])/8 - (17*t[8])/8 + (49*t[9])/8 + (3*t[10])/8 + 
       (135*t[11])/8 + (29*t[12])/4 + (1939*t[13])/144 - (7*t[14])/6 - 
       (117*t[15])/16 + 2*t[19] - 2*t[21] + 2*t[23] - 3*t[28] + 2*t[30] + 
       2*t[31] + 8*t[35] - 3*t[37] - 2*t[39] + t[41]/2 - t[42]/2 - 
       (7*t[43])/8 + t[44] + (3*t[45])/4 - t[46]/2 + (15*t[47])/2 - 
       (45*t[48])/8 - 3*t[49] + (3*t[50])/8 + (15*t[51])/8 - (3*t[52])/8 + 
       3*t[53] + (29*t[54])/8 + (5*t[60])/2 + 28*t[61] - 31*t[62] + 4*t[63] + 
       14*t[64] + (47*t[65])/6 - (55*t[66])/2 - 2*t[74] + t[81] - t[82] + 
       (3*t[85])/2 + 13*t[86] - (3*t[87])/2 - (3*t[88])/4 - t[89]/4 + 
       6*t[100]) + B10[v, w, u]*HPL[{1}, 1 - v]*(-2*t[60] - 5*t[61] + 
       t[62]/2 + (5*t[63])/2 + t[64]/2 + (13*t[65])/3 + (19*t[66])/3 + 
       t[89]/2 + 6*t[100]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u]*
      (10*t[1] - (79*t[2])/8 + (37*t[3])/16 + (97*t[4])/16 - (301*t[5])/16 + 
       (421*t[6])/32 + (177*t[7])/16 - (571*t[8])/16 + (387*t[9])/16 - 
       (2033*t[10])/32 + (1489*t[11])/32 + (83*t[12])/32 + (3529*t[13])/288 - 
       (4873*t[14])/192 - (719*t[15])/96 - t[16]/4 + (15*t[17])/4 + 
       (3*t[18])/2 + 3*t[19] + 4*t[20] - t[21] - 16*t[22] + t[23] + t[24]/2 - 
       13*t[25] + (15*t[26])/4 - 6*t[27] - (21*t[29])/4 - (33*t[30])/2 + 
       2*t[31] - (7*t[32])/2 + 5*t[33] + (17*t[34])/2 + 6*t[35] - 
       (7*t[36])/2 - 6*t[37] + (7*t[38])/2 - 5*t[39] - 6*t[40] + t[41]/4 - 
       t[42]/4 + (5*t[43])/16 - (3*t[44])/8 + (13*t[45])/8 + 7*t[46] - 
       (49*t[47])/4 - (731*t[48])/32 - (41*t[49])/32 + (721*t[50])/32 - 
       (301*t[51])/64 - (449*t[52])/32 + (89*t[53])/32 - (215*t[54])/32 - 
       2*t[56] - t[57] - t[58]/4 + 2*t[59] - (15*t[60])/4 + (15*t[61])/4 + 
       (35*t[62])/8 + (101*t[63])/8 + (197*t[64])/8 - (4*t[65])/3 - 
       25*t[66] + t[67]/2 - 2*t[70] + 2*t[71] + t[74] + 2*t[77] + 9*t[80] + 
       t[81]/2 + t[82]/2 + t[84]/2 - t[85]/4 - 8*t[86] - (3*t[87])/4 - 
       (3*t[88])/8 - (49*t[89])/8 - t[94] + 6*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*Omega2[w, u, v]*(-9*t[2] + (3*t[3])/8 + 
       (9*t[4])/2 + (105*t[5])/8 - t[6] - (11*t[7])/2 - (31*t[8])/2 - 
       (67*t[9])/8 + (3*t[10])/2 + (23*t[11])/2 + (17*t[12])/8 + 
       (245*t[13])/36 - (41*t[14])/24 + (149*t[15])/72 + 2*t[20] - 2*t[22] + 
       2*t[28] - (3*t[29])/2 + 3*t[30] + t[31] - (3*t[32])/2 + t[33] - 
       2*t[34] + t[36] + t[37] + t[41]/2 - t[42]/2 + t[43]/2 + (5*t[44])/4 - 
       t[46]/2 + t[47] + (9*t[48])/4 - (11*t[49])/4 - t[50]/4 + t[51] + 
       t[52]/4 + (11*t[53])/4 - (5*t[54])/2 + t[59] + (21*t[60])/4 + 
       13*t[61] + (135*t[62])/8 + (205*t[63])/8 - (9*t[64])/2 + 
       (13*t[65])/4 + (139*t[66])/12 + 2*t[69] - 2*t[72] - t[74] + 3*t[75] + 
       t[77] + 2*t[78] - t[80] + t[81] - t[82] - 17*t[83] - t[84] - 
       (15*t[85])/2 - 34*t[86] - (21*t[87])/2 - (29*t[88])/4 + (31*t[89])/8 + 
       2*t[95] + 6*t[100]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - v]*
      ((-19*t[1])/4 + (17*t[2])/4 - (17*t[3])/8 - (323*t[4])/16 + 
       (49*t[5])/32 + (71*t[6])/16 + (25*t[7])/2 - (439*t[8])/8 + 
       (1541*t[9])/32 - (2657*t[10])/32 + (323*t[11])/8 + (221*t[12])/16 + 
       (10775*t[13])/144 - (2717*t[14])/192 + (655*t[15])/576 + (3*t[17])/4 + 
       3*t[19] + 6*t[20] + 3*t[21] - 12*t[22] - (7*t[23])/2 + (9*t[24])/2 - 
       (7*t[27])/2 + 6*t[28] + (19*t[29])/4 - 17*t[30] - 2*t[31] - 
       (9*t[32])/2 + 6*t[33] + (21*t[34])/2 - 10*t[35] - 8*t[36] - 
       (9*t[38])/2 + t[39] - (19*t[40])/4 + 3*t[41] - 3*t[42] + 
       (45*t[43])/16 + (145*t[44])/8 - (25*t[45])/2 - (7*t[46])/4 + 
       (55*t[47])/4 - (327*t[48])/16 - (759*t[49])/32 + (261*t[50])/16 + 
       (951*t[51])/64 - (189*t[52])/16 + (567*t[53])/32 - (13*t[54])/8 + 
       (3*t[55])/4 - (3*t[56])/2 - 3*t[57] + (13*t[59])/4 + (1035*t[60])/16 + 
       (493*t[61])/16 + (1207*t[62])/32 - (127*t[63])/32 + (989*t[64])/32 + 
       (1195*t[65])/48 - (1857*t[66])/16 - t[67]/2 - (3*t[68])/2 - 2*t[70] + 
       2*t[71] + 4*t[72] + 4*t[73] - t[74] + 2*t[75] + (35*t[76])/4 + 
       2*t[77] + (87*t[78])/4 - 28*t[79] + (101*t[80])/2 + (25*t[81])/4 - 
       12*t[82] - 37*t[83] + (593*t[84])/16 + (243*t[85])/16 - 
       (201*t[86])/4 - (347*t[87])/16 - (363*t[88])/32 + (133*t[89])/32 - 
       t[91]/12 + t[93] - 9*t[96] - 5*t[97] + 6*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      (t[1]/12 + (5*t[2])/96 + (43*t[3])/384 + (95*t[4])/192 + 
       (55*t[5])/256 - (7*t[6])/64 - (677*t[7])/384 - (463*t[8])/384 - 
       (973*t[9])/768 - (83*t[10])/128 - (1345*t[11])/384 - (797*t[12])/768 - 
       (281*t[13])/108 - (229*t[14])/768 + (239*t[15])/512 + t[22]/16 - 
       t[27]/12 + t[28]/6 + t[29]/12 + t[30]/24 - t[31]/2 + t[32]/12 - 
       t[33]/12 + t[34]/3 - t[35]/2 + t[37]/4 - t[38]/12 + t[39]/6 - 
       (5*t[40])/24 + t[41]/96 - t[42]/96 + (41*t[43])/192 - t[44]/12 - 
       (23*t[45])/96 + t[46]/16 - (21*t[47])/16 + (107*t[48])/192 - 
       (11*t[49])/192 + (17*t[50])/64 - (13*t[51])/128 - t[52]/64 + 
       (11*t[53])/192 + (25*t[54])/64 + (9*t[59])/32 - t[60]/12 - 
       (63*t[61])/16 + (793*t[62])/96 + (335*t[63])/48 - (17*t[64])/3 + 
       (13*t[65])/192 + (2351*t[66])/192 + t[69]/4 - (5*t[73])/4 + t[74]/2 + 
       (10*t[75])/3 + (7*t[76])/24 + (3*t[77])/16 - t[78]/6 - (17*t[79])/24 - 
       t[80]/24 - (3*t[81])/4 + (11*t[82])/16 + (25*t[83])/12 - 
       (13*t[84])/24 - (29*t[85])/16 - (23*t[86])/4 - (5*t[87])/16 - 
       (5*t[88])/32 - (169*t[89])/96 + t[97]/24 + (11*t[98])/4 - 
       (15*t[99])/4 + (49*t[100])/8) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*(t[59]/2 - 8*t[60] + (61*t[61])/6 - 
       (49*t[62])/24 - (283*t[63])/8 + (5*t[64])/4 - (487*t[65])/36 - 
       (152*t[66])/9 + t[69] + t[77] + 5*t[79] + 3*t[80] - 5*t[81] + 
       5*t[82] + (55*t[83])/6 - (29*t[84])/12 - (37*t[85])/12 + 
       (43*t[86])/3 + (103*t[87])/12 + (103*t[88])/24 - (39*t[89])/4 + 
       (13*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*(-t[1] - (37*t[2])/6 + 5*t[3] + (133*t[4])/6 - 
       (71*t[5])/2 + (11*t[6])/3 - (685*t[7])/12 + (145*t[8])/12 - 
       (41*t[9])/4 + (61*t[10])/4 - (307*t[11])/12 + (10*t[12])/3 - 
       (5107*t[13])/216 - (353*t[14])/18 - (65*t[15])/24 + (4*t[18])/9 + 
       2*t[22] - 2*t[28] + 4*t[30] - 2*t[31] - 2*t[32] + 2*t[33] - 8*t[34] - 
       10*t[35] + 2*t[37] + 2*t[38] - 3*t[39] + 5*t[40] + 4*t[41] - 
       (17*t[42])/3 - (45*t[43])/4 + 3*t[44] - (85*t[45])/6 + (5*t[46])/3 + 
       16*t[47] - (3*t[48])/4 + t[49] - (19*t[50])/4 - (9*t[51])/4 - 
       (5*t[52])/4 - t[53] - (5*t[54])/4 + (37*t[59])/6 - (355*t[60])/24 - 
       (1085*t[61])/24 + (4565*t[62])/72 + (3979*t[63])/72 + 
       (1231*t[64])/144 - (1825*t[65])/216 + (27799*t[66])/216 + 4*t[69] - 
       6*t[72] - 2*t[73] - (2*t[74])/3 + 6*t[75] - 7*t[76] + (11*t[77])/6 + 
       6*t[78] - (37*t[79])/12 + (13*t[80])/3 - (89*t[81])/12 + 
       (71*t[82])/12 - (139*t[83])/9 + (31*t[84])/18 - (1549*t[85])/72 - 
       (2909*t[86])/36 + (1877*t[87])/72 + (1877*t[88])/144 - 
       (197*t[89])/144 - t[97] - 48*t[98] + 52*t[99] + (20*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[u, v, w]*(-t[59]/2 + (7*t[60])/12 - 
       (5*t[61])/4 - t[62]/8 + (79*t[63])/24 + (19*t[64])/24 + 
       (13*t[65])/36 - (7*t[66])/36 + t[69] + t[72]/3 - t[73] + t[75] + 
       t[78] - (2*t[81])/3 + (4*t[82])/3 - (7*t[83])/6 - t[84]/12 + 
       (17*t[85])/12 - (11*t[87])/12 - (11*t[88])/24 + (13*t[89])/24 + 
       7*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[v, u, w]*
      (-t[59]/2 - (17*t[60])/6 - (15*t[61])/2 + (25*t[62])/8 + 
       (17*t[63])/24 + (13*t[64])/12 + (95*t[65])/36 + (125*t[66])/18 - 
       t[69] - t[72]/3 - t[81]/3 + (2*t[82])/3 + (7*t[83])/6 - (5*t[84])/12 + 
       t[85]/12 + t[86] + (17*t[87])/12 + (17*t[88])/24 + (5*t[89])/6 + 
       7*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*(t[1] - (205*t[2])/12 + (5*t[3])/3 + 61*t[4] - 
       (581*t[5])/12 + (205*t[6])/8 - (619*t[7])/24 - (1189*t[8])/24 + 
       (175*t[9])/24 + (293*t[10])/24 - (31*t[11])/12 + (143*t[12])/4 + 
       (2593*t[13])/144 + (63*t[14])/2 - (1363*t[15])/48 + t[17] + 
       (2*t[18])/3 + 2*t[21] + 2*t[23] - 2*t[24] + 7*t[31] + 12*t[35] - 
       3*t[37] + (7*t[41])/2 - (13*t[42])/6 - (49*t[43])/8 - 6*t[44] + 
       (143*t[45])/12 - (29*t[46])/6 - (115*t[47])/6 - 20*t[48] + 
       (33*t[49])/4 - 5*t[50] - (13*t[51])/4 + 5*t[52] - (33*t[53])/4 - 
       t[54] + (13*t[59])/3 + (305*t[60])/12 + (101*t[61])/4 - 
       (107*t[62])/4 + 69*t[63] - (289*t[64])/8 - (133*t[65])/6 - 
       (706*t[66])/9 - (3*t[67])/2 - 2*t[70] + 2*t[71] - (4*t[72])/3 + 
       4*t[73] - (44*t[74])/3 - 2*t[75] + 4*t[76] - 3*t[78] + (3*t[79])/2 - 
       59*t[80] + (17*t[81])/3 - (13*t[82])/3 - (32*t[83])/3 + (10*t[84])/3 + 
       (89*t[85])/6 - (35*t[86])/3 - (179*t[87])/6 - (179*t[88])/12 - 
       (41*t[89])/24 - t[94]/6 + 24*t[98] - 26*t[99] + 7*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      (t[1]/4 - (199*t[2])/48 - (6593*t[3])/576 + (1127*t[4])/96 - 
       (12881*t[5])/1152 + (8159*t[6])/576 - (3647*t[7])/576 + 
       (5657*t[8])/192 + (1069*t[9])/1152 + (141*t[10])/64 - (311*t[11])/24 - 
       (8455*t[12])/1152 - (407*t[13])/288 + (44585*t[14])/3456 + 
       (71351*t[15])/20736 + t[20]/2 - (3*t[22])/8 - t[27]/6 - (5*t[28])/3 - 
       (7*t[29])/12 - (7*t[30])/9 - t[31]/3 - (10*t[32])/9 + (5*t[33])/6 + 
       (7*t[34])/36 - t[36] + t[37] + t[39]/4 + (5*t[40])/36 + 
       (13*t[41])/48 - (13*t[42])/48 + (25*t[43])/96 - (125*t[44])/18 + 
       (5*t[45])/48 + (3*t[46])/8 - (61*t[47])/24 + (389*t[48])/64 + 
       (173*t[49])/96 - (1051*t[50])/576 - (163*t[51])/192 + 
       (1147*t[52])/576 - (157*t[53])/96 + (735*t[54])/64 + (181*t[59])/144 + 
       (11*t[60])/288 + (387*t[61])/32 + (17879*t[62])/576 + 
       (7069*t[63])/576 - (3695*t[64])/192 + (1639*t[65])/432 + 
       (10907*t[66])/432 + t[69] - t[72]/2 - (9*t[73])/2 + (5*t[74])/2 - 
       2*t[75] - (13*t[76])/18 + (43*t[77])/24 + (55*t[78])/9 - 4*t[79] - 
       (25*t[80])/12 + (43*t[81])/18 - (89*t[82])/24 + (15*t[83])/2 + 
       (527*t[84])/96 + (457*t[85])/288 - (341*t[86])/12 - (1199*t[87])/288 - 
       (1823*t[88])/576 + (9545*t[89])/576 - (3*t[98])/2 - t[99]/2 + 
       (85*t[100])/12) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*(-2*t[1] + (139*t[2])/12 - (16*t[3])/3 - 
       (25*t[4])/12 - (19*t[5])/6 - (31*t[6])/4 - 59*t[7] + (56*t[8])/3 - 
       (233*t[9])/12 + (443*t[10])/24 - (146*t[11])/3 - (445*t[12])/24 - 
       (731*t[13])/216 - (4507*t[14])/144 - (67*t[15])/216 + t[17]/3 - 
       2*t[20] + 2*t[25] - t[26] + 4*t[27] + 21*t[28] + (23*t[29])/3 - 
       (4*t[30])/3 - (4*t[31])/3 - (23*t[32])/3 + (31*t[33])/3 + 
       (2*t[34])/3 - 12*t[35] - 9*t[36] - 3*t[37] - 2*t[38] - (13*t[39])/6 + 
       (7*t[40])/6 - (5*t[41])/3 + (5*t[42])/3 - (7*t[43])/6 - 18*t[44] + 
       (10*t[45])/3 + 3*t[46] - 5*t[47] + (22*t[48])/3 - (271*t[49])/24 + 
       7*t[50] + (57*t[51])/16 - 6*t[52] + (29*t[53])/8 + (37*t[54])/4 - 
       (2*t[55])/3 - (17*t[59])/12 - (35*t[60])/12 - (177*t[61])/4 + 
       (417*t[62])/8 - (775*t[63])/24 + (41*t[64])/8 + (74*t[65])/3 + 
       (119*t[66])/4 - (2*t[68])/3 - 2*t[69] + 6*t[72] + 2*t[73] + 13*t[74] + 
       12*t[75] - (31*t[76])/6 + (22*t[77])/3 + (125*t[78])/6 + (4*t[80])/3 + 
       (3*t[81])/2 - (17*t[82])/6 - 23*t[83] + (271*t[84])/12 - 
       (14*t[85])/3 - (20*t[86])/3 - (52*t[87])/3 - (71*t[88])/6 + 
       (85*t[89])/24 - 9*t[96] - (13*t[97])/2 - 12*t[98] + 28*t[99] + 
       (22*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((5*t[1])/36 - (185*t[2])/36 + (4825*t[3])/576 - 
       (169*t[4])/48 + (3683*t[5])/288 - (1373*t[6])/1152 - (125*t[7])/8 - 
       (43*t[8])/72 - (987*t[9])/64 + (245*t[10])/96 + (1909*t[11])/1152 + 
       (23*t[12])/9 - (2233*t[13])/1728 - (15673*t[14])/3456 - 
       (2939*t[15])/2592 + t[20] - t[22] + (133*t[29])/144 + (55*t[30])/36 - 
       t[31]/18 - (17*t[32])/24 + (5*t[33])/24 - (65*t[34])/72 + t[35]/2 - 
       (5*t[36])/12 - t[37]/3 - (5*t[38])/9 - (71*t[39])/144 - 
       (49*t[40])/144 + t[41]/4 - t[42]/4 + (2*t[43])/9 - (299*t[44])/72 - 
       (35*t[45])/18 - t[46]/4 + (17*t[47])/9 + (3125*t[48])/1152 + 
       (281*t[49])/288 - (1457*t[50])/384 - (629*t[51])/576 + 
       (5651*t[52])/1152 - (281*t[53])/288 - (1741*t[54])/1152 + 
       (53*t[59])/144 - (3479*t[60])/576 - (1213*t[61])/192 - 
       (3715*t[62])/1152 + (7513*t[63])/384 + (32089*t[64])/1152 - 
       (7205*t[65])/1728 + (611*t[66])/64 + t[69]/6 - t[72] - (11*t[74])/4 - 
       (11*t[75])/6 + (65*t[76])/18 + (5*t[77])/18 - (131*t[78])/18 + 
       (73*t[79])/12 + (4*t[80])/3 + (61*t[81])/72 - (31*t[82])/18 - 
       (5*t[83])/3 - (4693*t[84])/576 - (2285*t[85])/576 + (17*t[86])/36 - 
       (421*t[87])/64 - (677*t[88])/128 - (6077*t[89])/1152 + 2*t[95] + 
       (5*t[97])/18 + (131*t[98])/6 - (161*t[99])/6 + (89*t[100])/12) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      (4*t[1] + (557*t[2])/24 + (429*t[3])/16 + (65*t[4])/4 + (937*t[5])/32 - 
       (27*t[6])/16 - (65*t[7])/8 - (73*t[8])/8 - (1595*t[9])/32 + 
       (127*t[10])/8 - (273*t[11])/16 - (1021*t[12])/32 - (605*t[13])/288 - 
       (275*t[14])/288 + (11791*t[15])/576 + (5*t[18])/4 + 2*t[20] - 
       t[22]/2 + 2*t[32] + (3*t[34])/2 - t[35]/2 - t[37] - 8*t[41] + 
       (17*t[42])/2 - (127*t[43])/16 + (3*t[45])/8 - (83*t[47])/4 + 
       (13*t[48])/8 + (9*t[49])/2 - (13*t[50])/8 - (9*t[51])/4 + 
       (13*t[52])/8 - (9*t[53])/2 - (3*t[54])/8 - (10*t[59])/3 - 
       (17*t[60])/2 + (195*t[61])/8 - (481*t[62])/24 + (283*t[63])/8 - 
       (943*t[64])/8 + (25*t[65])/8 + (2695*t[66])/72 - t[67]/12 + 
       (4*t[69])/3 + (3*t[70])/2 - (17*t[71])/12 - t[72] + (9*t[74])/2 - 
       t[75] + t[77] - (9*t[79])/2 - 47*t[80] + (25*t[83])/4 + t[84]/2 + 
       (5*t[85])/2 - 33*t[86] - t[87] - t[88]/2 - (101*t[89])/8 + 
       (15*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((25*t[2])/3 - 11*t[3] + t[13]/3 + 
       (47*t[15])/18 - t[59] + t[62]/3 - t[63]/3 + t[64] - (94*t[65])/9 - 
       (4*t[66])/3 + (4*t[88])/3 + 8*t[100]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*((17*t[1])/3 - t[2] + 
       (49*t[4])/3 - t[5]/3 - 7*t[6] - t[7] + t[8] - (2*t[9])/3 - t[10] - 
       (47*t[12])/3 + (289*t[13])/18 - (34*t[14])/3 - t[42]/3 - t[43]/3 + 
       (4*t[59])/3 - (15*t[60])/2 - (21*t[61])/2 - (28*t[62])/3 - 
       (41*t[63])/3 + (221*t[64])/12 - (7*t[65])/6 + (49*t[66])/18 - 
       2*t[74] + 4*t[79] - t[81] + t[82] + (8*t[83])/3 - (4*t[84])/3 - 
       (13*t[85])/6 + (70*t[86])/3 + (29*t[87])/6 + (29*t[88])/12 - 
       (17*t[89])/12 + 8*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      Omega2[v, w, u]*((17*t[60])/12 - (179*t[61])/12 + (113*t[62])/12 + 
       (41*t[63])/6 - (139*t[64])/6 + (59*t[65])/3 + (191*t[66])/12 - 
       2*t[69] - (4*t[72])/3 + t[74] + (9*t[75])/2 + 3*t[78] + (3*t[79])/4 + 
       t[80]/2 + (5*t[81])/3 + (7*t[82])/6 - (23*t[83])/4 + 3*t[84] + 
       (2*t[85])/3 + (17*t[86])/12 - (20*t[87])/3 - (10*t[88])/3 + 
       (5*t[89])/24 + 8*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      Omega2[w, u, v]*(2*t[60] - t[61] + (3*t[62])/4 + (73*t[63])/4 - 
       t[64]/2 + (79*t[65])/6 + (17*t[66])/3 + 2*t[69] - 2*t[73] + 6*t[75] + 
       4*t[78] + 2*t[82] - 8*t[83] + (5*t[84])/2 - (3*t[85])/2 - 2*t[86] - 
       (5*t[87])/2 - (5*t[88])/4 + (3*t[89])/2 + 8*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-5*t[1])/6 - (29*t[2])/2 - (749*t[3])/24 - (46*t[4])/3 - 
       (1127*t[5])/24 + (95*t[6])/6 + (127*t[7])/4 + (179*t[8])/4 + 
       (483*t[9])/8 + (57*t[10])/4 - (41*t[11])/6 + (347*t[12])/24 + 
       (31*t[13])/24 + (751*t[14])/18 - (4225*t[15])/216 - 2*t[18] - 
       3*t[20] - t[22] + 2*t[28] + (23*t[29])/6 - (23*t[30])/3 + 4*t[31] + 
       (35*t[32])/6 + (11*t[33])/3 + (11*t[34])/3 + 6*t[35] - (2*t[40])/3 + 
       (7*t[41])/6 - (7*t[42])/6 - (11*t[43])/4 - (35*t[44])/12 + 
       (3*t[45])/2 - t[46] + 11*t[47] - (23*t[48])/12 - (3*t[49])/4 - 
       (7*t[50])/12 + (9*t[51])/8 + (19*t[52])/12 + (3*t[53])/4 + 
       (47*t[54])/2 - (2*t[59])/3 + (135*t[60])/2 + (601*t[61])/12 - 
       (2131*t[62])/24 - (337*t[63])/8 + (929*t[64])/24 - 5*t[65] - 
       (1291*t[66])/18 - t[67]/3 + 2*t[69] + 2*t[70] - 2*t[71] - 
       (10*t[74])/3 + 2*t[75] + (4*t[76])/3 + t[77]/3 - (8*t[78])/3 - 
       6*t[80] + (7*t[81])/2 - (7*t[82])/2 + 6*t[83] + (59*t[84])/3 + 
       (107*t[85])/4 + 34*t[86] - (83*t[87])/4 - (11*t[88])/8 + 
       (105*t[89])/4 - (20*t[95])/3 + (4*t[96])/3 + t[97]/3 + 8*t[98] - 
       28*t[99] + 8*t[100]) + HPL[{0, 1}, 1 - u]*M1[v, w, u]*
      ((2*t[1])/3 - (7*t[2])/12 + (79*t[3])/48 + (65*t[4])/24 + 
       (291*t[5])/32 - t[6]/2 - (545*t[7])/48 + (113*t[8])/48 - 
       (2029*t[9])/96 - (15*t[10])/16 - (427*t[11])/48 - (761*t[12])/96 - 
       (115*t[13])/27 - (1049*t[14])/96 + (3307*t[15])/576 + t[22]/2 + 
       t[27]/3 - (2*t[28])/3 - t[29]/3 + (4*t[30])/3 - 2*t[31] - 
       (4*t[32])/3 + t[33]/3 - (4*t[34])/3 - 4*t[35] + t[37] + t[38]/3 - 
       (2*t[39])/3 + (5*t[40])/6 + t[41]/12 - t[42]/12 + (53*t[43])/24 - 
       (2*t[44])/3 - (5*t[45])/3 + t[46] - (3*t[47])/2 + (13*t[48])/12 - 
       (23*t[49])/24 + t[50]/4 + t[51]/16 - (5*t[52])/4 + (23*t[53])/24 + 
       t[59] - (131*t[60])/12 - (325*t[61])/12 + (367*t[62])/12 - 
       (29*t[63])/12 + (27*t[64])/4 - (527*t[65])/72 + (1739*t[66])/72 + 
       t[69] + 2*t[74] - (7*t[76])/6 - t[77]/2 + (2*t[78])/3 + (43*t[80])/6 - 
       (3*t[81])/2 + (9*t[82])/4 - t[83]/2 - t[84]/4 - (61*t[85])/12 - 
       (13*t[86])/2 + (77*t[87])/12 + (77*t[88])/24 - (9*t[89])/8 - t[97]/6 - 
       14*t[98] + 14*t[99] + 8*t[100]) + HPL[{0, 1}, 1 - v]*M1[v, w, u]*
      (-t[1]/3 + (5*t[2])/6 - (443*t[3])/48 - (3*t[4])/4 - (26*t[5])/3 + 
       (283*t[6])/96 + 12*t[7] + (61*t[8])/12 + (185*t[9])/16 - (9*t[10])/8 - 
       (491*t[11])/96 - (11*t[12])/24 - (221*t[13])/144 + (1487*t[14])/288 + 
       (707*t[15])/432 - (11*t[29])/12 - (13*t[30])/6 + t[31]/3 + t[32]/2 + 
       (7*t[34])/6 + t[36] + t[37] + t[38]/3 + t[39]/3 + t[40]/6 + t[43]/6 + 
       (35*t[44])/12 + (7*t[45])/6 - (5*t[47])/6 - (67*t[48])/96 - 
       (49*t[49])/24 + (71*t[50])/32 + (61*t[51])/48 - (277*t[52])/96 + 
       (49*t[53])/24 + (491*t[54])/96 + t[59]/6 + (337*t[60])/48 + 
       (87*t[61])/16 + (485*t[62])/96 - (327*t[63])/32 - (1487*t[64])/96 + 
       (1027*t[65])/144 + (131*t[66])/48 + t[69] + 2*t[74] + 2*t[75] - 
       (13*t[76])/6 - t[77]/6 + (14*t[78])/3 - 4*t[79] - t[80] - 
       (4*t[81])/3 + (11*t[82])/6 - (3*t[83])/2 + (371*t[84])/48 + 
       (139*t[85])/48 - (16*t[86])/3 + (57*t[87])/16 + (121*t[88])/32 + 
       (691*t[89])/96 - 2*t[95] - t[97]/6 - 14*t[98] + 14*t[99] + 8*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
      ((703*t[2])/24 + (71*t[3])/8 - t[4]/2 + (173*t[5])/8 - (1197*t[6])/32 + 
       (11*t[7])/8 - (363*t[8])/8 - (295*t[9])/16 + (9*t[10])/8 + 
       (1237*t[11])/32 - (13*t[12])/6 + (221*t[13])/24 + (847*t[14])/288 + 
       (2059*t[15])/288 - (3*t[23])/2 - 2*t[24] + (9*t[29])/4 - 13*t[30] + 
       2*t[31] + (15*t[32])/2 - 9*t[33] - (17*t[35])/2 - t[37] - t[41]/2 + 
       t[42]/2 - (135*t[44])/8 - t[47] - (699*t[48])/32 + t[49]/4 + 
       (169*t[50])/32 - t[51]/8 - (169*t[52])/32 - t[53]/4 - 
       (1301*t[54])/32 - (31*t[59])/3 - (35*t[60])/8 + (11*t[61])/3 - 
       (5963*t[62])/288 + (11531*t[63])/288 - (223*t[64])/36 - 
       (1865*t[65])/54 - (14335*t[66])/216 - t[67]/12 - (8*t[69])/3 + 
       (3*t[70])/2 - (17*t[71])/12 + (9*t[74])/2 - 9*t[75] - (9*t[76])/4 + 
       (23*t[79])/8 + t[80] + (5*t[81])/24 - (5*t[82])/24 + (565*t[83])/36 - 
       (1301*t[84])/144 - (139*t[85])/36 - (911*t[86])/72 - (395*t[87])/18 - 
       (781*t[88])/72 - (1327*t[89])/36 + (25*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      (-t[1]/3 - (7*t[2])/6 - (71*t[3])/12 + (19*t[4])/2 - (101*t[5])/12 - 
       (71*t[6])/24 + (17*t[7])/2 - (11*t[8])/3 - (17*t[10])/4 + 
       (127*t[11])/24 - (10*t[12])/3 + (167*t[13])/36 - (61*t[14])/18 + 
       (925*t[15])/216 - (13*t[29])/6 + (17*t[30])/6 + (4*t[31])/3 + 
       t[32]/2 - t[33]/2 - (10*t[34])/3 + 2*t[36] + 2*t[37] + (4*t[38])/3 + 
       (5*t[39])/6 + (7*t[40])/6 + (2*t[43])/3 + (14*t[44])/3 + 
       (14*t[45])/3 - (10*t[47])/3 + (23*t[48])/24 - (53*t[49])/12 + 
       (45*t[50])/8 + (77*t[51])/24 - (199*t[52])/24 + (53*t[53])/12 - 
       (31*t[54])/24 + (2*t[59])/3 + (22*t[60])/3 + 32*t[61] + 
       (803*t[62])/24 - (21*t[63])/8 - (883*t[64])/12 + (503*t[65])/18 + 
       (2*t[66])/3 + 3*t[69] + t[72] + 4*t[74] + 9*t[75] - (26*t[76])/3 - 
       (2*t[77])/3 + (62*t[78])/3 - 14*t[79] - 5*t[80] + (13*t[81])/6 - 
       (19*t[82])/6 - (15*t[83])/2 + (119*t[84])/12 - (8*t[85])/3 - 
       (94*t[86])/3 + 3*t[87] + (3*t[88])/2 + (83*t[89])/12 - (2*t[97])/3 - 
       44*t[98] + 46*t[99] + 9*t[100]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*(22*t[2] + (39*t[3])/4 - (271*t[4])/12 - 
       (15*t[5])/4 - (165*t[6])/4 + (233*t[7])/12 + (41*t[8])/12 - 
       (106*t[9])/3 + (935*t[10])/24 - (431*t[11])/12 - (259*t[12])/8 - 
       (727*t[13])/36 - (3869*t[14])/144 + (379*t[15])/18 - (8*t[24])/3 + 
       (26*t[27])/3 - 14*t[28] + (23*t[29])/6 + (26*t[30])/3 - (34*t[32])/3 + 
       (20*t[33])/3 - (4*t[34])/3 - 24*t[35] - 2*t[36] + (4*t[37])/3 + 
       (4*t[38])/3 - (38*t[39])/3 + 18*t[40] - t[41]/3 + t[42]/3 - 
       (139*t[43])/12 + (43*t[44])/6 + (77*t[45])/2 + (16*t[46])/3 - 
       (226*t[47])/3 - (113*t[48])/4 - (145*t[49])/24 + (71*t[50])/4 - 
       (49*t[51])/16 - (99*t[52])/4 + (145*t[53])/24 - (40*t[54])/3 + 
       (4*t[55])/3 - 5*t[59] - (307*t[60])/12 - (337*t[61])/12 - 
       (983*t[62])/24 + (131*t[63])/24 - (1397*t[64])/24 + (107*t[65])/36 + 
       (4703*t[66])/36 - 12*t[68] - (4*t[70])/3 + (4*t[71])/3 + 20*t[72] - 
       98*t[73] + (58*t[74])/3 + 98*t[75] - 40*t[76] - 9*t[77] + 
       (188*t[78])/3 - 12*t[79] - (320*t[80])/3 - (64*t[81])/3 + 
       (107*t[82])/3 + 40*t[83] - (337*t[84])/12 - (241*t[85])/12 + 
       (236*t[86])/3 + (1013*t[87])/12 + (279*t[88])/8 - (353*t[89])/8 + 
       (4*t[95])/3 + (4*t[96])/3 - 2*t[97] - 680*t[98] + 880*t[99] + 
       9*t[100]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (t[1] + (20*t[2])/3 - (13*t[3])/3 - (103*t[4])/12 - (29*t[5])/12 + 
       (245*t[6])/4 + (135*t[7])/4 + (3215*t[8])/12 + (97*t[9])/4 - 
       (755*t[10])/8 - (41*t[11])/2 - (335*t[12])/8 - (323*t[13])/24 - 
       (4411*t[14])/144 + (171*t[15])/8 + t[16]/3 + t[17]/3 + (4*t[18])/3 + 
       (4*t[21])/3 + 12*t[22] - t[23]/3 + (8*t[24])/3 - 8*t[25] - 20*t[26] - 
       14*t[27] - 16*t[28] + (15*t[29])/2 + 4*t[30] - 14*t[31] + 2*t[32] + 
       (2*t[33])/3 - (17*t[34])/3 - 4*t[35] + (32*t[36])/3 + 4*t[37] + 
       (8*t[38])/3 - (83*t[39])/3 + (37*t[40])/3 - (8*t[41])/3 + 
       (13*t[42])/3 - (59*t[43])/4 - (145*t[44])/6 - (41*t[45])/2 - 
       (28*t[46])/3 + (103*t[47])/3 + (93*t[48])/2 + (25*t[49])/8 - 
       (23*t[50])/2 + (401*t[51])/16 + (61*t[52])/6 - (41*t[53])/8 + 
       (129*t[54])/4 + (2*t[56])/3 + (8*t[57])/3 - 2*t[59] + (481*t[60])/12 + 
       (1631*t[61])/12 - (1497*t[62])/8 - (2167*t[63])/8 + (4267*t[64])/24 + 
       (5927*t[65])/36 + (1997*t[66])/36 - 2*t[67] - (10*t[68])/3 + 8*t[69] - 
       (8*t[70])/3 + (8*t[71])/3 + 12*t[72] - 98*t[73] - (10*t[74])/3 + 
       98*t[75] - 105*t[76] - 2*t[77] + (395*t[78])/3 - 36*t[79] + 68*t[80] - 
       5*t[81] - (23*t[82])/3 + 24*t[83] + (29*t[84])/4 - (835*t[85])/12 + 
       298*t[86] + (587*t[87])/12 + (587*t[88])/24 + (145*t[89])/8 + 
       t[91]/3 - 2*t[92] + 2*t[94] - (2*t[97])/3 - 680*t[98] + 880*t[99] + 
       9*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w]*
      ((31*t[60])/9 - (109*t[61])/8 + (863*t[62])/96 + (2779*t[63])/288 - 
       (1955*t[64])/72 + (9799*t[65])/432 + (12059*t[66])/432 + t[69]/2 - 
       (19*t[72])/18 - (3*t[73])/4 + 2*t[74] + (15*t[75])/2 + (13*t[78])/3 + 
       (17*t[79])/6 - t[80]/3 + (13*t[81])/9 + (47*t[82])/18 - 
       (395*t[83])/36 + (253*t[84])/72 - (107*t[85])/72 + 3*t[86] - 
       (775*t[87])/72 - (775*t[88])/144 - (155*t[89])/72 + (29*t[100])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-4*t[60])/3 - (13*t[61])/8 + (95*t[62])/32 + (2011*t[63])/96 - 
       t[64] + (215*t[65])/16 + (2015*t[66])/144 + (5*t[69])/6 - t[72]/2 - 
       (65*t[73])/12 + (19*t[75])/3 + (19*t[78])/6 - t[79]/6 - (5*t[81])/6 + 
       (13*t[82])/6 - (23*t[83])/4 + (37*t[84])/24 - (71*t[85])/24 - t[86] + 
       (13*t[87])/24 + (13*t[88])/48 + (13*t[89])/12 + (29*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (t[59]/2 - (203*t[60])/12 + (49*t[61])/12 + (52*t[62])/3 - 
       (5*t[63])/4 + (5*t[64])/24 + (127*t[65])/36 + (275*t[66])/36 - 
       2*t[69] - (2*t[72])/3 + 2*t[73] + 3*t[74] - (5*t[79])/2 + 2*t[80] - 
       t[81]/6 + (5*t[82])/6 - 3*t[83] - (19*t[84])/12 - (11*t[85])/6 - 
       (115*t[86])/6 + (37*t[87])/6 + (37*t[88])/12 + (11*t[89])/24 - 
       4*t[99] + (29*t[100])/3) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(-24*t[2] + (45*t[3])/4 - (39*t[4])/2 - 
       (7*t[5])/4 - (75*t[6])/8 + (25*t[7])/2 - 39*t[8] - (25*t[9])/2 - 
       (7*t[10])/4 - (73*t[11])/8 + (13*t[12])/2 - (160*t[13])/9 - 
       (215*t[14])/12 - (959*t[15])/72 + 2*t[18] + 8*t[20] - 8*t[22] - 
       8*t[28] - 15*t[29] + (17*t[30])/2 - (17*t[32])/2 + (13*t[33])/2 + 
       3*t[34] + 8*t[35] + 4*t[36] + 2*t[37] + t[41] - t[42] + 2*t[43] + 
       20*t[44] + 2*t[47] - (73*t[48])/8 - (15*t[49])/4 + (15*t[50])/8 + 
       (15*t[51])/8 - (15*t[52])/8 + (15*t[53])/4 + (45*t[54])/8 + 3*t[59] + 
       (27*t[60])/4 - (3*t[61])/4 - (421*t[62])/8 + (133*t[63])/8 + 
       (527*t[64])/8 - (233*t[65])/12 + (143*t[66])/4 + t[67] + 6*t[69] - 
       2*t[70] + 2*t[71] + 2*t[73] - 4*t[74] - 2*t[75] - 4*t[77] - 4*t[78] + 
       6*t[80] + 2*t[82] + 10*t[83] - (11*t[84])/4 - (15*t[85])/4 + 
       46*t[86] + (73*t[87])/4 + (89*t[88])/8 + (41*t[89])/8 - 8*t[99] + 
       10*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*(-t[1] - 6*t[2] - (3*t[3])/4 - (29*t[4])/2 - 
       (143*t[5])/8 - (7*t[6])/2 + (39*t[7])/2 - 31*t[8] + (93*t[9])/8 - 
       (23*t[10])/4 - (15*t[11])/4 + (93*t[12])/8 - (242*t[13])/9 + 
       (23*t[14])/6 - (515*t[15])/48 - t[17] + 6*t[18] + 2*t[19] - 6*t[21] + 
       8*t[23] + 2*t[24] + 6*t[31] + 20*t[35] - 2*t[37] + (9*t[41])/2 - 
       3*t[42] + (41*t[43])/4 + 4*t[44] + 10*t[45] + 4*t[46] + 9*t[47] + 
       t[48] - (23*t[49])/4 - 5*t[50] + (15*t[51])/8 + 5*t[52] + 
       (23*t[53])/4 + (33*t[54])/2 + 6*t[59] + 4*t[60] + 33*t[61] - 
       (19*t[62])/4 + (153*t[63])/4 + (311*t[64])/4 - (125*t[65])/6 - 
       (49*t[66])/6 + t[67] + 6*t[69] - 2*t[70] + 2*t[71] + 2*t[75] - 
       2*t[77] + 6*t[79] - 4*t[80] + 4*t[82] - 13*t[83] + t[84] - 7*t[85] + 
       9*t[86] + 3*t[87] + (3*t[88])/2 + 9*t[89] - 8*t[99] + 10*t[100]) + 
     HPL[{1}, 1 - v]^2*Qep[u, v, w]*((-16*t[60])/3 - (16*t[61])/9 + 
       (196*t[62])/9 + (76*t[63])/3 + 4*t[64] - (448*t[65])/27 + 
       (520*t[66])/27 - 8*t[79] - (64*t[83])/9 - (32*t[84])/9 + 
       (32*t[85])/9 - (296*t[86])/9 + (64*t[87])/9 + (32*t[88])/9 + 
       (8*t[89])/3 + (32*t[100])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((-25*t[1])/36 + (39*t[2])/8 - (263*t[3])/72 - 
       (653*t[4])/72 - (643*t[5])/144 + (1235*t[6])/72 - (491*t[7])/24 + 
       (383*t[8])/9 - (329*t[9])/48 + (455*t[10])/144 - (2303*t[11])/72 + 
       (5*t[12])/9 - (7261*t[13])/648 + (2293*t[14])/864 + (785*t[15])/864 - 
       2*t[20] - (7*t[28])/2 + (95*t[29])/18 - (4*t[30])/3 + t[31]/2 + 
       (2*t[32])/9 + t[33]/18 + (23*t[34])/9 - (5*t[35])/2 - t[36] - 
       (5*t[38])/9 - (5*t[39])/6 + (5*t[40])/36 - (5*t[41])/18 + 
       (5*t[42])/18 - (3*t[43])/4 - (335*t[44])/36 - (35*t[45])/36 + 
       (5*t[47])/36 + (491*t[48])/72 - (71*t[49])/48 - (541*t[50])/72 + 
       (133*t[51])/288 + (641*t[52])/72 + (53*t[53])/144 + (751*t[54])/36 - 
       (101*t[59])/72 - (211*t[60])/16 - (281*t[61])/16 + (2273*t[62])/72 - 
       (101*t[63])/12 + (685*t[64])/96 + (4355*t[65])/432 + 
       (18437*t[66])/432 - t[68]/2 - (17*t[69])/6 + (19*t[72])/18 - 
       (2*t[73])/3 + t[74] - (35*t[75])/12 - (5*t[76])/4 - (5*t[77])/9 - 
       (17*t[78])/18 + 3*t[79] - (59*t[80])/18 - (21*t[81])/8 + 
       (83*t[82])/24 + (43*t[83])/18 + (20*t[84])/9 + (51*t[85])/16 - 
       (61*t[86])/6 + (1297*t[87])/144 + (137*t[88])/32 + (1553*t[89])/288 - 
       (5*t[96])/3 - (35*t[97])/36 - (2*t[98])/3 + t[99]/3 + (65*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      ((-5*t[1])/6 + (2*t[2])/3 - (193*t[3])/24 - (35*t[4])/3 - 
       (13*t[5])/16 + (19*t[6])/4 + (389*t[7])/24 + (379*t[8])/24 + 
       (715*t[9])/48 + 14*t[10] + (343*t[11])/24 + (617*t[12])/48 + 
       (3199*t[13])/216 + (281*t[14])/24 + (233*t[15])/96 + (4*t[27])/3 - 
       (8*t[28])/3 - (4*t[29])/3 + (4*t[30])/3 + 4*t[31] + (2*t[32])/3 - 
       (2*t[33])/3 + (8*t[34])/3 + 4*t[35] - 2*t[37] - (2*t[38])/3 - 
       (2*t[39])/3 - (5*t[40])/3 - t[41]/6 + t[42]/6 - (29*t[43])/12 + 
       (4*t[44])/3 - (2*t[45])/3 - t[46] + 11*t[47] - (77*t[48])/12 - 
       (5*t[49])/24 + (11*t[50])/4 + (7*t[51])/16 - (3*t[52])/4 + 
       (5*t[53])/24 - 2*t[54] - t[59] + (49*t[60])/12 + (407*t[61])/12 - 
       (83*t[62])/3 + (173*t[63])/6 - (217*t[64])/8 + (517*t[65])/18 - 
       (295*t[66])/18 - 3*t[69] - t[72] - 4*t[74] + t[75] + (7*t[76])/3 + 
       (2*t[78])/3 - (16*t[80])/3 + (3*t[81])/2 + 5*t[82] - (3*t[83])/2 + 
       t[84] + (71*t[85])/12 + 5*t[86] - (115*t[87])/12 - (115*t[88])/24 - 
       (41*t[89])/8 + t[97]/3 + 16*t[98] - 16*t[99] + 11*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - v]*(t[1]/3 - (37*t[2])/12 - 
       (7*t[3])/3 + (3*t[4])/8 - (55*t[5])/12 + (65*t[6])/24 - 
       (133*t[7])/12 + (151*t[8])/6 - (11*t[9])/3 + (139*t[10])/48 - 
       (167*t[11])/12 - (27*t[12])/16 - (61*t[13])/9 - (329*t[14])/96 - 
       (1271*t[15])/432 - t[28] - (11*t[29])/4 - 3*t[30] + (4*t[32])/3 - 
       t[33] - (4*t[34])/3 + t[35] + t[36]/2 + (2*t[38])/3 - t[39]/6 + 
       (3*t[40])/2 - t[43]/2 - (29*t[44])/3 + (7*t[45])/3 - (5*t[47])/3 + 
       (133*t[48])/24 - (71*t[49])/48 - (139*t[50])/24 + (103*t[51])/96 + 
       (33*t[52])/8 + (71*t[53])/48 + (101*t[54])/12 + t[59]/2 - 
       (93*t[60])/8 - (193*t[61])/24 + (35*t[62])/48 - (959*t[63])/48 + 
       (1369*t[64])/48 + 5*t[65] + (373*t[66])/18 - (5*t[74])/6 - 
       (9*t[75])/2 - (17*t[76])/6 - (3*t[77])/2 - (7*t[78])/6 + t[79] - 
       4*t[80] - (61*t[81])/12 + (7*t[82])/4 + 7*t[83] + (43*t[84])/12 + 
       (43*t[85])/24 + 12*t[86] + (159*t[87])/8 + (533*t[88])/48 + 
       (467*t[89])/48 - (4*t[95])/3 - t[97]/3 - 26*t[98] + 22*t[99] + 
       11*t[100]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      ((131*t[1])/144 + (187*t[2])/36 + (857*t[3])/18 - (2549*t[4])/96 - 
       (241*t[5])/288 - (1453*t[6])/144 + (1135*t[7])/96 - (23035*t[8])/288 - 
       (49*t[9])/2 - (131*t[10])/192 + (1663*t[11])/288 - (4633*t[12])/576 + 
       (14305*t[13])/1728 - (165727*t[14])/3456 - (42541*t[15])/5184 + 
       t[16] - t[17]/2 - t[19] + (25*t[20])/2 - (3*t[21])/2 - 6*t[22] + 
       (3*t[23])/2 - (3*t[24])/2 + (7*t[25])/2 - (11*t[26])/8 - t[27]/2 - 
       (5*t[28])/2 - (103*t[29])/72 - (131*t[30])/36 - (89*t[31])/9 - 
       (10*t[32])/3 + (13*t[33])/3 - (35*t[34])/72 - t[35]/2 - (5*t[36])/3 - 
       (31*t[37])/6 + (23*t[38])/18 - (101*t[39])/36 - t[40]/36 - 
       (53*t[41])/16 + (53*t[42])/16 - (227*t[43])/288 + (2333*t[44])/144 - 
       (31*t[45])/144 + t[46]/4 - (239*t[47])/72 - (6529*t[48])/288 - 
       (8033*t[49])/576 + (983*t[50])/96 + (7211*t[51])/1152 - 
       (3433*t[52])/288 + (3353*t[53])/576 - (197*t[54])/36 + (5*t[55])/8 - 
       (3*t[56])/4 - t[57]/2 - t[58]/8 - (439*t[59])/144 + (52*t[60])/9 - 
       (3341*t[61])/48 + (7637*t[62])/288 - (53*t[63])/32 - 
       (19079*t[64])/288 + (22621*t[65])/432 + (299*t[66])/72 + 
       (13*t[69])/3 - (3*t[70])/2 + (3*t[71])/2 - (47*t[72])/6 + 2*t[73] + 
       (67*t[74])/6 - (29*t[75])/3 - (331*t[76])/18 - (17*t[77])/9 - 
       (551*t[78])/72 + (13*t[79])/3 - (53*t[80])/12 + (223*t[81])/72 - 
       (19*t[82])/18 + (157*t[83])/6 + (25*t[84])/72 + (493*t[85])/36 + 
       (116*t[86])/9 - (189*t[87])/16 - (317*t[88])/32 - (3955*t[89])/144 - 
       t[91]/24 - (3*t[93])/2 - 6*t[96] - (397*t[97])/72 - (206*t[98])/3 + 
       (212*t[99])/3 + (67*t[100])/6) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^3*
      (-t[1]/12 - (2*t[2])/3 - (751*t[3])/96 + (45*t[4])/8 - (185*t[5])/48 + 
       (467*t[6])/192 + (57*t[7])/8 + (13*t[8])/3 + (291*t[9])/32 - 
       (9*t[10])/16 + (1109*t[11])/192 + (61*t[12])/24 + (155*t[13])/96 + 
       (6091*t[14])/576 + (181*t[15])/54 + (5*t[29])/24 + (43*t[30])/12 + 
       (4*t[31])/3 + (3*t[32])/4 - t[33] + (5*t[34])/12 + t[36] + t[37] + 
       t[38]/12 + t[39]/12 - t[40]/12 + t[41]/4 - t[42]/4 + (2*t[43])/3 - 
       (23*t[44])/24 - (7*t[45])/12 - t[46]/4 + (11*t[47])/12 + 
       (469*t[48])/192 + (49*t[49])/48 + (159*t[50])/64 - (67*t[51])/96 - 
       (509*t[52])/192 - t[53]/48 + (67*t[54])/192 + (11*t[59])/12 + 
       (509*t[60])/96 + (675*t[61])/32 + (1741*t[62])/192 + (1137*t[63])/64 - 
       (3835*t[64])/192 - (1081*t[65])/288 + (431*t[66])/96 + t[69] - 
       3*t[72] + 5*t[75] + t[76]/12 + (7*t[77])/12 + (43*t[78])/6 - 
       (11*t[79])/2 + t[80]/2 + (17*t[81])/12 - (5*t[82])/3 - 8*t[83] - 
       (293*t[84])/96 - (265*t[85])/96 - (113*t[86])/6 - (91*t[87])/32 - 
       (155*t[88])/64 + (695*t[89])/192 + t[95] + (3*t[96])/2 + 
       (13*t[97])/12 + 13*t[98] - 11*t[99] + (34*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-2*t[60])/3 + (43*t[61])/4 + (215*t[62])/48 - (35*t[63])/16 + 
       (857*t[64])/48 - (439*t[65])/18 - (577*t[66])/72 + 2*t[69] + 
       (2*t[72])/3 + 5*t[73] - (29*t[74])/12 + (95*t[79])/24 - (23*t[81])/6 + 
       (31*t[82])/6 - t[83] + t[84]/6 - (9*t[85])/4 - (27*t[86])/8 + 
       (55*t[87])/12 + (55*t[88])/24 - (35*t[89])/12 - 4*t[99] + 
       (23*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - w]*
      ((8*t[1])/3 - t[2] + (9*t[3])/8 + (17*t[4])/6 + (157*t[5])/48 - 
       2*t[6] - (25*t[7])/24 - (127*t[8])/24 - (211*t[9])/48 - (8*t[10])/3 + 
       (127*t[11])/24 - (469*t[12])/48 - (349*t[13])/144 + (415*t[14])/72 - 
       (313*t[15])/96 - t[20] - t[21] + t[23] - (8*t[26])/3 - (3*t[28])/2 - 
       t[31]/2 + (3*t[35])/2 - (7*t[36])/6 + (8*t[38])/3 - (3*t[39])/2 + 
       (3*t[40])/2 - t[41]/2 + t[42]/2 + t[45]/2 - t[46]/4 - t[47] - 
       t[48]/4 - (11*t[49])/24 + (5*t[50])/2 - (101*t[51])/48 - (7*t[52])/2 - 
       (13*t[53])/24 - (16*t[54])/3 - (4*t[59])/3 + (15*t[60])/4 + t[61]/4 - 
       (93*t[62])/16 + (145*t[63])/16 - (455*t[64])/24 - (443*t[65])/36 - 
       (59*t[66])/12 - t[69] + t[74]/2 + (4*t[75])/3 - t[76] - (3*t[77])/2 - 
       t[78]/2 - (2*t[79])/3 - t[80] - (11*t[81])/4 + (11*t[82])/4 - 
       (20*t[83])/3 + (41*t[84])/24 + (7*t[85])/12 - (8*t[86])/3 + 
       (9*t[87])/2 + (9*t[88])/4 - (41*t[89])/4 - 12*t[98] + 14*t[99] + 
       (23*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - u]*((-35*t[1])/54 + (19*t[2])/6 - (371*t[3])/72 - 
       (313*t[4])/72 - (155*t[5])/18 + (323*t[6])/48 - (275*t[7])/72 - 
       (5*t[8])/2 + (385*t[9])/72 + (221*t[10])/16 - (1133*t[11])/48 + 
       (1397*t[12])/144 - (2933*t[13])/162 - (2831*t[14])/864 - 
       (301*t[15])/144 + (2*t[18])/9 + 2*t[21] - t[22]/18 - (16*t[23])/9 + 
       (5*t[26])/18 + t[27]/2 + (3*t[31])/2 + (5*t[32])/6 - (5*t[33])/6 + 
       (5*t[34])/6 + t[37]/2 - (5*t[38])/18 + (5*t[39])/6 - (47*t[40])/36 - 
       t[41]/12 + t[42]/18 - (59*t[43])/24 - (3*t[44])/2 - (59*t[45])/36 + 
       (9*t[46])/4 + (13*t[47])/12 + (109*t[48])/48 - (103*t[49])/16 - 
       (9*t[50])/16 + (121*t[51])/288 + (353*t[52])/144 + (103*t[53])/16 + 
       (967*t[54])/144 + (5*t[58])/18 - (673*t[59])/216 - (1619*t[60])/144 - 
       (3103*t[61])/144 + (4573*t[62])/96 + (3809*t[63])/288 - 
       (12865*t[64])/288 - (41*t[65])/9 + (9737*t[66])/216 + t[67]/12 + 
       (5*t[69])/2 - (8*t[70])/3 + (8*t[71])/3 + (5*t[72])/18 + 
       (17*t[73])/12 + (5*t[74])/6 - t[75]/4 + t[76]/36 - t[77]/36 + 
       t[78]/18 - 3*t[79] - (577*t[80])/18 - (253*t[81])/72 + 
       (229*t[82])/72 + (41*t[83])/18 - (167*t[84])/72 - (875*t[85])/144 - 
       (1079*t[86])/18 + (469*t[87])/48 + (469*t[88])/96 - (17*t[89])/96 - 
       (5*t[97])/36 - (2*t[98])/3 + t[99]/3 + (71*t[100])/6) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*(81*t[60] - 32*t[61] - 
       50*t[62] - (169*t[63])/2 - (375*t[64])/4 + (113*t[65])/6 + 
       (61*t[66])/3 + 12*t[69] - 6*t[70] + 6*t[71] - (39*t[79])/2 + 
       13*t[83] - t[84] + 25*t[85] + (217*t[86])/2 - 79*t[87] - 
       (79*t[88])/2 - (21*t[89])/2 + 12*t[100]) + HPL[{0, 1}, 1 - v]*
      M1[w, u, v]*(-t[1]/2 - (67*t[3])/16 - (7*t[4])/4 - (19*t[5])/8 - 
       (51*t[6])/32 + (41*t[7])/4 - (15*t[8])/2 + (83*t[9])/16 - 
       (27*t[10])/8 + (107*t[11])/32 + 3*t[12] - (29*t[13])/144 + 
       (43*t[14])/32 + (57*t[15])/16 - (7*t[29])/4 - (5*t[30])/2 + t[31] + 
       t[34]/2 + t[36] + t[37] + t[43]/2 + (7*t[44])/2 - (53*t[48])/32 - 
       (17*t[49])/8 + (131*t[50])/32 + (17*t[51])/16 - (131*t[52])/32 + 
       (17*t[53])/8 - (43*t[54])/32 + t[59]/4 - (105*t[60])/16 + 
       (7*t[61])/16 + (263*t[62])/32 + (249*t[63])/32 - (253*t[64])/32 + 
       (685*t[65])/48 + (221*t[66])/16 - t[72] + t[74] + 2*t[75] - t[76] + 
       4*t[78] - 4*t[79] - t[81] + t[82]/2 - 2*t[83] + (29*t[84])/16 + 
       (25*t[85])/16 - 6*t[86] + (105*t[87])/16 + (105*t[88])/32 + 
       (69*t[89])/32 - 6*t[98] + 6*t[99] + 12*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - w]*((-17*t[1])/6 + t[2] - 
       (13*t[3])/24 - (53*t[4])/6 + (11*t[5])/48 + (3*t[6])/8 + t[7]/4 - 
       (2*t[8])/3 + (5*t[9])/16 + (77*t[10])/12 + (23*t[11])/12 + 
       (223*t[12])/48 + (23*t[13])/16 + (13*t[14])/48 + (55*t[15])/32 + 
       t[20] + t[21] - t[23] - (5*t[25])/3 + 4*t[26] + t[28]/2 + 
       (3*t[31])/2 + t[35]/2 - (5*t[36])/2 - (4*t[37])/3 - 2*t[38] + 
       t[39]/2 - t[40]/2 + t[41]/2 - t[42]/2 + (3*t[45])/2 + 4*t[46] - 
       3*t[47] + t[48]/8 - (89*t[49])/12 + (13*t[50])/24 - (25*t[51])/8 + 
       (11*t[52])/24 + (65*t[53])/12 - (27*t[54])/8 - (5*t[59])/12 + 
       (133*t[60])/12 + 2*t[61] + (203*t[62])/48 - (269*t[63])/16 - 
       (47*t[64])/4 + (23*t[65])/4 + (379*t[66])/36 - (13*t[69])/3 + 
       (8*t[70])/3 - (8*t[71])/3 + (11*t[74])/3 + (23*t[75])/6 - t[76] + 
       t[77]/2 + (5*t[78])/2 - (4*t[79])/3 - (5*t[80])/2 - (7*t[81])/12 + 
       (7*t[82])/12 - 6*t[83] + (77*t[84])/24 + (7*t[85])/3 - (7*t[86])/3 + 
       (19*t[87])/12 + (19*t[88])/24 + (45*t[89])/4 - 12*t[98] + 14*t[99] + 
       (25*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - v]*(-t[59]/2 - (5*t[60])/12 - (241*t[61])/12 + 
       (103*t[62])/24 + (263*t[63])/8 - (45*t[64])/8 + (563*t[65])/18 + 
       (251*t[66])/9 - (8*t[72])/3 - (4*t[73])/3 + (31*t[75])/3 + t[76] + 
       4*t[78] - t[79] + 3*t[80] - t[81]/6 + (5*t[82])/6 - 9*t[83] + 
       (10*t[84])/3 + (7*t[85])/4 - 2*t[86] - (37*t[87])/12 - (37*t[88])/24 + 
       (143*t[89])/24 + (14*t[98])/3 - 6*t[99] + (38*t[100])/3) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-193*t[60])/12 - (77*t[61])/4 - (65*t[62])/6 + 5*t[63] + 
       (713*t[64])/24 + (119*t[65])/36 + (131*t[66])/12 - 4*t[74] - t[77]/2 + 
       (16*t[79])/3 - (7*t[80])/3 - t[81]/2 + t[82]/2 + (2*t[83])/3 - 
       t[84]/3 - (41*t[85])/12 + (53*t[86])/3 + (97*t[87])/12 + 
       (97*t[88])/24 + (143*t[89])/24 + 13*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      ((13*t[1])/6 - (17*t[2])/6 + (43*t[3])/12 - (23*t[4])/12 + 
       (241*t[5])/8 - (23*t[6])/4 - (233*t[7])/12 - (31*t[8])/12 - 
       (1381*t[9])/24 + (59*t[10])/8 - (175*t[11])/12 - (277*t[12])/12 - 
       (481*t[13])/108 - (1411*t[14])/48 + (343*t[15])/16 + t[22] + 
       (4*t[27])/3 - (8*t[28])/3 - (4*t[29])/3 + (10*t[30])/3 - 2*t[31] - 
       (4*t[32])/3 + (4*t[33])/3 - (16*t[34])/3 - 8*t[35] + 2*t[37] + 
       (4*t[38])/3 - (8*t[39])/3 + (10*t[40])/3 + t[41]/3 - t[42]/3 + 
       (85*t[43])/12 + (10*t[44])/3 - t[45]/6 + 4*t[46] - 9*t[47] - 
       (7*t[48])/6 - (59*t[49])/24 + 3*t[50] + (37*t[51])/16 - 7*t[52] + 
       (59*t[53])/24 - (19*t[54])/4 + 2*t[59] - (281*t[60])/12 - 
       (667*t[61])/12 + (769*t[62])/12 - (551*t[63])/12 - (29*t[64])/8 - 
       (643*t[65])/36 + (1513*t[66])/36 + t[69] + t[72] + 6*t[74] - t[75] - 
       (14*t[76])/3 - 3*t[77] + (8*t[78])/3 - 4*t[79] + (59*t[80])/3 - 
       (7*t[81])/2 + (7*t[82])/2 + (17*t[83])/2 - (133*t[85])/12 + 2*t[86] + 
       (245*t[87])/12 + (245*t[88])/24 - (43*t[89])/8 - (2*t[97])/3 - 
       44*t[98] + 44*t[99] + 13*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*((-3*t[3])/4 - t[4] + t[5]/8 + 
       t[6]/2 + (3*t[7])/4 + (9*t[8])/4 + (3*t[9])/8 + (5*t[10])/4 + 
       (3*t[11])/4 + (19*t[12])/8 + t[13]/4 + (59*t[14])/24 + (9*t[15])/16 - 
       t[22]/2 - t[29] - t[59]/2 + (43*t[60])/48 - (329*t[61])/48 + 
       (617*t[62])/96 + (3835*t[63])/96 + (1469*t[64])/96 - (235*t[65])/36 + 
       (599*t[66])/36 - (5*t[69])/6 - (4*t[72])/3 - (31*t[73])/12 - 2*t[74] + 
       (23*t[75])/12 + t[78]/3 + 2*t[79] - (73*t[81])/24 + (97*t[82])/24 + 
       (7*t[83])/6 + (5*t[84])/12 + (89*t[85])/48 - (21*t[86])/2 + 
       (9*t[87])/16 + (9*t[88])/32 + (395*t[89])/96 - 4*t[99] + 
       (79*t[100])/6) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((7*t[1])/18 + (11*t[2])/144 + (403*t[3])/144 - 
       (3311*t[4])/144 - (67*t[5])/4 + (1325*t[6])/144 - (55*t[7])/72 + 
       (1319*t[8])/36 + (3863*t[9])/288 - (2313*t[10])/32 + (2491*t[11])/72 + 
       (1357*t[12])/288 + (1517*t[13])/1296 - (3317*t[14])/576 - 
       (8057*t[15])/864 - (3*t[17])/2 + (14*t[18])/9 + t[21]/2 + t[22]/6 + 
       2*t[23] + 6*t[24] + t[26]/3 - (5*t[27])/9 + (29*t[28])/18 + 
       (8*t[29])/9 - (2*t[30])/9 + (31*t[31])/6 - (7*t[32])/9 + 
       (11*t[33])/18 - (43*t[34])/9 + (3*t[35])/2 - 2*t[36] + t[37]/3 + 
       (10*t[38])/9 + (73*t[39])/36 - (71*t[40])/36 + (16*t[41])/9 + 
       t[42]/3 + (245*t[43])/18 - (8*t[44])/9 - (425*t[45])/9 + 
       (265*t[46])/24 + (445*t[47])/6 + (2293*t[48])/144 - (2249*t[49])/288 - 
       (251*t[50])/16 + (39*t[51])/64 + (761*t[52])/48 + (2249*t[53])/288 + 
       (221*t[54])/12 + t[58]/3 - (61*t[59])/36 - (491*t[60])/144 + 
       (14243*t[61])/144 - (4213*t[62])/288 - (8485*t[63])/288 + 
       (14657*t[64])/96 - (125*t[65])/216 - (24157*t[66])/216 + t[69]/3 - 
       (113*t[73])/12 + 10*t[74] + (167*t[75])/12 - (146*t[76])/9 + 
       (11*t[77])/12 + (158*t[78])/9 - 22*t[79] + (1897*t[80])/18 - 
       (47*t[81])/8 + (21*t[82])/4 - (25*t[83])/4 - (5*t[84])/8 - 
       (2299*t[85])/144 + (35*t[86])/12 + (5195*t[87])/144 + 
       (5195*t[88])/288 + (1081*t[89])/32 - (8*t[97])/9 - (565*t[98])/6 + 
       (601*t[99])/6 + (161*t[100])/12) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1, 1}, 1 - w]*((37*t[60])/12 - (107*t[61])/4 - 
       (145*t[62])/12 - (35*t[63])/12 - (145*t[64])/24 + (541*t[65])/36 + 
       (223*t[66])/18 + t[69] + 3*t[79] + t[80] - t[81]/6 + t[82]/6 + 
       (7*t[83])/6 + (5*t[84])/12 - (2*t[85])/3 + 20*t[86] - (35*t[87])/6 - 
       (35*t[88])/12 + (67*t[89])/24 + (27*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((145*t[60])/12 - (33*t[61])/4 + (57*t[62])/8 + (625*t[63])/24 - 
       (209*t[64])/24 + (71*t[65])/3 + (245*t[66])/18 + (4*t[72])/3 - 
       t[73]/3 + (55*t[75])/3 + (2*t[76])/3 + 9*t[78] + (5*t[81])/6 + 
       (11*t[82])/6 - 24*t[83] + (35*t[84])/6 - (9*t[85])/4 - 
       (137*t[87])/12 - (137*t[88])/24 + (37*t[89])/24 + (14*t[98])/3 - 
       6*t[99] + (41*t[100])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*(-t[3]/4 - t[4] + (3*t[5])/8 + t[6]/2 + t[7]/4 + 
       (3*t[8])/4 + (9*t[9])/8 + (7*t[10])/4 + t[11]/4 + (17*t[12])/8 + 
       t[13]/4 - (5*t[14])/8 + t[15]/48 + t[22]/2 + t[29] + 4*t[60] - 
       (3*t[61])/2 - t[62] + t[64] - (13*t[65])/6 - t[66]/2 + t[82]/2 - 
       2*t[83] - 2*t[87] - t[88] + (55*t[100])/4) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      (-t[1] - (19*t[2])/4 - (21*t[3])/8 - (61*t[4])/4 + (39*t[5])/16 + 
       (9*t[6])/4 + (219*t[7])/8 + (65*t[8])/8 + (133*t[9])/16 + 
       (139*t[10])/8 + (167*t[11])/8 + (157*t[12])/16 + (111*t[13])/8 + 
       (113*t[14])/16 - (49*t[15])/32 + t[18]/3 - 5*t[28] + 2*t[30] + 
       7*t[31] + 4*t[35] - t[37] - 2*t[39] + t[41] - t[42] - (5*t[43])/4 + 
       5*t[44] + 3*t[45] + t[46] + 5*t[47] - 5*t[48] + (5*t[49])/4 - 
       (3*t[50])/2 + t[51]/8 + (3*t[52])/2 - (5*t[53])/4 - t[54] - 
       (3*t[59])/2 + (21*t[60])/2 + 34*t[61] - (347*t[62])/8 + (43*t[63])/8 + 
       (125*t[64])/4 + (197*t[65])/12 - (455*t[66])/12 - 2*t[69] - 4*t[74] + 
       t[75] - t[77] + 2*t[79] - 4*t[80] + (3*t[81])/2 - 8*t[83] + t[84]/4 + 
       (17*t[85])/2 + 13*t[86] - 11*t[87] - (11*t[88])/2 + 6*t[89] + 
       14*t[100]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      (-8*t[99] + 14*t[100]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-2*t[10] + (4*t[13])/3 - 3*t[14] + (2*t[15])/3 - 2*t[49] + t[51] + 
       2*t[53] - 13*t[60] - 21*t[61] - (3*t[62])/2 + (31*t[63])/2 + 
       (259*t[64])/2 + (40*t[65])/3 + (107*t[66])/3 - 4*t[69] + 4*t[75] + 
       6*t[79] + 8*t[80] - 2*t[81] + 6*t[82] - 22*t[83] + t[84] - 4*t[85] - 
       2*t[86] + 10*t[87] + 5*t[88] + (37*t[89])/2 - 8*t[99] + 14*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - u]*((-2*t[1])/3 - (13*t[2])/8 + 
       (21*t[3])/4 + (179*t[4])/24 - (29*t[5])/12 + (61*t[6])/24 - 
       (305*t[7])/24 - (97*t[8])/24 - (307*t[9])/48 + (301*t[10])/48 - 
       (77*t[11])/4 - (307*t[12])/48 - (599*t[13])/54 - (1303*t[14])/96 - 
       (11*t[15])/12 - t[22]/3 + t[31] - (2*t[32])/3 + (2*t[33])/3 - 
       (8*t[34])/3 + (2*t[38])/3 - (2*t[39])/3 + t[40] + (2*t[41])/3 - 
       (2*t[42])/3 - (17*t[43])/12 - t[44] + (11*t[45])/6 + (13*t[46])/12 - 
       (35*t[47])/6 + (65*t[48])/24 - (95*t[49])/48 - (71*t[50])/24 + 
       (125*t[51])/96 + (31*t[52])/24 + (95*t[53])/48 + (13*t[54])/4 - 
       (13*t[59])/4 - 10*t[60] - (421*t[61])/12 + (263*t[62])/24 - 
       (281*t[63])/24 - (79*t[64])/3 + (137*t[65])/8 + (3151*t[66])/72 + 
       2*t[69] - 2*t[73] + (5*t[74])/6 + t[75] - (11*t[76])/6 + t[77]/6 + 
       (10*t[78])/3 + (5*t[79])/2 - 7*t[80] - (11*t[81])/12 + 4*t[82] + 
       (21*t[83])/2 - (27*t[84])/4 - (31*t[85])/24 + (16*t[86])/3 + 
       (59*t[87])/24 + (59*t[88])/48 - (9*t[89])/2 - (5*t[97])/6 - 26*t[98] + 
       22*t[99] + 14*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((-2*t[1])/9 - (467*t[2])/144 - (679*t[3])/576 - 
       (443*t[4])/288 - (2539*t[5])/384 - (7*t[6])/32 + (929*t[7])/576 - 
       (3005*t[8])/576 + (4441*t[9])/1152 + (695*t[10])/192 - 
       (563*t[11])/576 + (5753*t[12])/1152 - (2213*t[13])/1296 + 
       (2473*t[14])/1152 - (7561*t[15])/2304 + t[19] - t[21] - (5*t[22])/24 + 
       t[23] - (5*t[27])/18 - (17*t[28])/18 + (5*t[29])/18 + (11*t[30])/36 + 
       t[31]/3 + (5*t[32])/18 - (5*t[33])/18 + (10*t[34])/9 + (7*t[35])/3 - 
       (2*t[37])/3 - (5*t[38])/18 - (4*t[39])/9 - (25*t[40])/36 + 
       (47*t[41])/144 - (47*t[42])/144 - (257*t[43])/288 + (13*t[44])/18 + 
       (83*t[45])/144 - t[46]/8 - t[47]/8 - (239*t[48])/288 - 
       (385*t[49])/288 + (35*t[50])/96 + (23*t[51])/64 + (15*t[52])/32 + 
       (385*t[53])/288 + (113*t[54])/32 - (73*t[59])/48 + (379*t[60])/72 + 
       (2411*t[61])/72 - (353*t[62])/18 + (2711*t[63])/144 + (215*t[64])/6 + 
       (2249*t[65])/864 - (16385*t[66])/864 - t[67]/4 - (2*t[69])/3 + 
       t[70]/2 - t[71]/2 - t[73]/6 - (13*t[74])/3 + (7*t[75])/6 + 
       (35*t[76])/36 + (17*t[77])/24 - (19*t[78])/18 - (3*t[79])/4 - 
       (377*t[80])/36 + t[81]/2 + (9*t[82])/8 - (43*t[83])/12 - (7*t[84])/8 + 
       (175*t[85])/36 - (57*t[86])/4 - (59*t[87])/36 - (59*t[88])/72 + 
       (73*t[89])/16 + t[94]/4 + (5*t[97])/36 + (61*t[98])/6 - (91*t[99])/6 + 
       (169*t[100])/12) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((9*t[2])/2 + (87*t[3])/16 + (25*t[4])/8 + 
       (87*t[5])/16 - (11*t[6])/8 - t[7]/4 - 4*t[8] - (43*t[9])/16 - 
       (47*t[10])/16 + (57*t[11])/8 - (3*t[12])/8 + (479*t[13])/144 - 
       (301*t[14])/96 + (77*t[15])/36 - t[20] + t[22] + t[28]/2 + t[29]/4 + 
       (3*t[30])/2 - t[32]/4 - t[34] - (3*t[35])/2 - t[37]/2 - t[41]/4 + 
       t[42]/4 + (9*t[44])/8 - t[47]/2 - t[48]/2 + (5*t[49])/16 + t[50]/2 - 
       (5*t[51])/32 - t[52]/2 - (5*t[53])/16 - 5*t[54] - (9*t[59])/2 - 
       (89*t[60])/6 + (439*t[61])/72 - (815*t[62])/144 - (2933*t[63])/48 - 
       (813*t[64])/16 + (1037*t[65])/27 - (533*t[66])/27 + t[67]/4 + t[68] - 
       3*t[69] - 3*t[70] + 3*t[71] - 3*t[72] + 2*t[73] + 4*t[74] - 
       (19*t[75])/2 + (11*t[76])/2 + t[77] - (5*t[78])/2 + (5*t[79])/8 + 
       (43*t[80])/2 + t[81] + (13*t[82])/4 + (277*t[83])/18 + 
       (113*t[84])/72 + (463*t[85])/72 + (1655*t[86])/72 + (899*t[87])/72 + 
       (1043*t[88])/144 + (25*t[89])/6 + t[92]/4 - t[93] - t[94]/4 + t[95] - 
       (3*t[97])/4 + 18*t[98] - 19*t[99] + (44*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      (-t[1]/6 + (35*t[2])/18 + (3785*t[3])/96 - (1177*t[4])/48 + 
       (19*t[5])/6 - (7423*t[6])/192 + (243*t[7])/16 - (1523*t[8])/24 - 
       (1007*t[9])/96 - (345*t[10])/32 - (769*t[11])/192 - (175*t[12])/96 - 
       (20663*t[13])/864 - (3061*t[14])/288 + (281*t[15])/864 - 4*t[20] - 
       t[22] + t[27]/3 - (85*t[28])/6 - (211*t[29])/48 + (667*t[30])/48 - 
       (5*t[31])/2 - (671*t[32])/48 + (93*t[33])/16 - (151*t[34])/12 - 
       (13*t[35])/2 + (27*t[36])/4 + t[37]/6 + (5*t[38])/6 - (199*t[39])/48 + 
       (251*t[40])/48 - (7*t[43])/24 - t[44]/12 + (3*t[45])/4 - (5*t[46])/2 + 
       (13*t[47])/4 - (1459*t[48])/64 - (267*t[49])/32 + (1245*t[50])/64 + 
       (977*t[51])/192 - (1469*t[52])/64 + (673*t[53])/96 - 
       (3623*t[54])/192 - (73*t[59])/36 - (949*t[60])/96 - (1273*t[61])/32 - 
       (7865*t[62])/192 + (11365*t[63])/192 + (2663*t[64])/192 - 
       (3283*t[65])/96 + (15785*t[66])/288 - t[69]/3 - (11*t[72])/6 - 
       (33*t[73])/2 + (29*t[74])/6 - (89*t[75])/6 - (49*t[76])/4 - 
       (47*t[77])/6 + 5*t[78] + (5*t[79])/2 - (11*t[80])/3 - (167*t[81])/12 + 
       13*t[82] + (541*t[83])/12 - (391*t[84])/32 - (539*t[85])/32 + 
       (200*t[86])/3 + (2381*t[87])/96 + (655*t[88])/64 - (4415*t[89])/192 + 
       (8*t[95])/3 - 2*t[96] - (23*t[97])/12 - (193*t[98])/2 + 
       (205*t[99])/2 + (59*t[100])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*(t[3]/4 + t[4] + t[5]/2 + 
       (3*t[6])/8 - (5*t[7])/2 - (3*t[8])/2 - (5*t[9])/4 - t[10] + 
       (13*t[11])/8 - t[12]/2 + (23*t[13])/12 - (49*t[14])/24 + 
       (7*t[15])/12 + t[39]/2 - t[40]/2 + t[44]/2 + t[48]/8 + t[50]/8 + 
       t[51]/4 - t[52]/8 - (13*t[54])/8 - t[59]/2 + (665*t[60])/144 - 
       (583*t[61])/48 + (305*t[62])/48 + (403*t[63])/144 - (8389*t[64])/288 + 
       (12509*t[65])/432 + (2407*t[66])/432 + (5*t[69])/6 - (7*t[72])/9 + 
       4*t[74] + (27*t[75])/4 + (31*t[78])/6 - (9*t[79])/2 - 4*t[80] + 
       (337*t[81])/72 - (137*t[82])/72 - (97*t[83])/9 + (22*t[84])/9 + 
       (727*t[85])/144 - (29*t[86])/3 - (1939*t[87])/144 - (1939*t[88])/288 + 
       (953*t[89])/288 - 4*t[99] + (91*t[100])/6) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((33*t[2])/8 - (3*t[3])/4 + (13*t[4])/8 - (29*t[5])/4 - (11*t[6])/8 + 
       (137*t[7])/16 + (103*t[8])/16 + (171*t[9])/16 - 5*t[10] + 
       (175*t[11])/16 + (5*t[12])/16 + (2047*t[13])/288 + (135*t[14])/32 - 
       (25*t[15])/96 - t[19] + t[21] - t[23] + (3*t[31])/2 - t[37]/2 - 
       t[41]/4 + t[42]/4 - (3*t[43])/16 - t[45]/8 + (9*t[47])/4 - 
       (33*t[48])/16 + (19*t[49])/16 - t[50]/16 - (7*t[51])/32 + t[52]/16 - 
       (19*t[53])/16 - (41*t[54])/16 - t[59] + (13*t[60])/4 + (29*t[61])/2 - 
       23*t[62] - (21*t[63])/2 - (47*t[64])/4 + (29*t[65])/4 - 
       (337*t[66])/12 - 2*t[69] - t[75] - 4*t[79] + 5*t[80] + t[81]/2 - 
       (5*t[82])/2 + 6*t[83] - t[84]/2 + (17*t[85])/4 + (41*t[86])/2 - 
       (5*t[87])/4 - (5*t[88])/8 + (9*t[89])/8 + 18*t[98] - 19*t[99] + 
       (31*t[100])/2) + HPL[{0, 1}, 1 - u]*M1[v, u, w]*
      ((-5*t[1])/6 + (8*t[2])/3 - (23*t[3])/12 - (20*t[4])/3 - (57*t[5])/8 + 
       (9*t[6])/4 + (293*t[7])/24 + (151*t[8])/24 + (199*t[9])/12 + 
       (43*t[10])/8 + (115*t[11])/24 + (175*t[12])/24 + (1613*t[13])/432 + 
       (37*t[14])/6 - (113*t[15])/36 - t[22] + t[27]/3 - (2*t[28])/3 - 
       t[29]/3 + t[30]/3 + 2*t[31] + (2*t[32])/3 - (2*t[33])/3 + 
       (8*t[34])/3 + 2*t[35] - t[37] - (2*t[38])/3 + t[39]/3 - (5*t[40])/3 - 
       t[41]/6 + t[42]/6 - (37*t[43])/24 + t[44]/3 - (11*t[45])/12 - 
       t[46]/2 + (11*t[47])/2 - (67*t[48])/24 + (5*t[49])/12 + (7*t[50])/8 - 
       t[51]/4 + (9*t[52])/8 - (5*t[53])/12 + (5*t[54])/8 - (3*t[59])/2 + 
       t[60]/12 + (155*t[61])/12 - (589*t[62])/24 + (209*t[63])/24 + 
       (45*t[64])/8 + (497*t[65])/36 - (401*t[66])/36 - t[69] - 2*t[74] + 
       (7*t[76])/3 - (4*t[78])/3 - (4*t[80])/3 + t[81] + t[82] + 
       (5*t[83])/2 - (9*t[84])/4 + (65*t[85])/12 + 9*t[86] - (43*t[87])/12 - 
       (43*t[88])/24 + t[89]/8 + t[97]/3 + 16*t[98] - 16*t[99] + 
       (31*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-t[3]/4 - t[4] - t[5]/2 - (7*t[6])/8 + 
       (5*t[7])/2 + (3*t[8])/2 + t[9]/4 - (3*t[10])/2 - (9*t[11])/8 + 
       t[12]/2 - (7*t[13])/12 - (41*t[14])/24 + (3*t[15])/4 + t[39]/2 - 
       t[40]/2 + t[44]/2 + (3*t[48])/8 - t[49]/2 + (3*t[50])/8 + t[51]/2 - 
       (3*t[52])/8 + t[53]/2 + (9*t[54])/8 - (829*t[60])/48 - 
       (3313*t[61])/144 - (983*t[62])/36 - (709*t[63])/24 + (1497*t[64])/32 + 
       (3451*t[65])/216 + (5671*t[66])/432 + t[69] - t[72]/2 + t[73] - 
       t[77]/4 + 5*t[78] + (29*t[79])/8 + 6*t[80] + t[81] + (3*t[82])/2 - 
       (7*t[83])/9 - (1145*t[84])/144 - (2077*t[85])/144 + (2693*t[86])/72 + 
       (2443*t[87])/144 + (1867*t[88])/288 + (151*t[89])/96 + 
       (203*t[100])/12) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((73*t[1])/6 - 44*t[2] + (249*t[3])/8 - 
       (139*t[4])/3 + (1461*t[5])/16 - (1807*t[6])/72 - (631*t[7])/8 + 
       (421*t[8])/24 - (3385*t[9])/16 + (3829*t[10])/24 + (117*t[11])/8 - 
       (1099*t[12])/48 + (13189*t[13])/144 - (28325*t[14])/144 + 
       (2341*t[15])/32 - (5*t[18])/3 + 2*t[19] - 2*t[21] + 6*t[22] + 
       2*t[23] + 10*t[27] - 13*t[28] - 12*t[29] + 10*t[30] + 6*t[31] - 
       (29*t[32])/3 + (29*t[33])/3 - (116*t[34])/3 - 8*t[35] - 3*t[37] + 
       (29*t[38])/3 - (47*t[39])/3 + (125*t[40])/6 - (19*t[41])/6 + 
       (49*t[42])/18 - (151*t[43])/12 + 13*t[44] - 7*t[45] + (33*t[46])/2 + 
       (109*t[47])/6 - (56*t[48])/3 - (169*t[49])/6 + (139*t[50])/6 + 
       (491*t[51])/24 - (299*t[52])/6 + (169*t[53])/6 - (97*t[54])/2 + 
       t[56]/3 - 4*t[57] - (647*t[59])/36 - 100*t[60] - (707*t[61])/12 + 
       (1141*t[62])/24 - (3963*t[63])/8 - (2273*t[64])/24 + (167*t[65])/36 - 
       (3179*t[66])/12 + t[68] - 2*t[69] - 5*t[70] + 5*t[71] - 17*t[72] + 
       104*t[73] - 6*t[74] - 125*t[75] + (13*t[76])/6 - (4*t[77])/3 - 
       (260*t[78])/3 + 15*t[79] - (64*t[80])/3 - 9*t[81] - (17*t[82])/6 + 
       (451*t[83])/6 - (377*t[84])/6 + (149*t[85])/12 - (333*t[86])/2 + 
       (1145*t[87])/12 + (1145*t[88])/24 + (431*t[89])/12 - t[91]/3 - 
       2*t[93] - (53*t[97])/6 + 16*t[98] - 46*t[99] + 17*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((29*t[1])/6 - (949*t[2])/36 - (161*t[3])/6 + 75*t[4] - (695*t[5])/12 - 
       (321*t[6])/16 + (217*t[7])/12 + (1865*t[8])/12 - (655*t[9])/24 - 
       (211*t[10])/6 + (4379*t[11])/48 - (403*t[12])/12 + (673*t[13])/18 - 
       (3827*t[14])/144 + (16273*t[15])/432 + 2*t[20] - 2*t[22] - 2*t[27] + 
       2*t[28] + (37*t[29])/2 + (113*t[30])/6 + 9*t[31] + (47*t[32])/3 - 
       (85*t[33])/6 - (68*t[34])/3 + 26*t[35] + 21*t[36] + t[37] + 
       (29*t[38])/3 + (17*t[39])/2 + 11*t[40] + t[41]/2 - t[42]/2 + 
       (13*t[43])/2 - (167*t[44])/6 + (227*t[45])/6 + t[46]/2 - 
       (187*t[47])/6 + (1867*t[48])/48 - (115*t[49])/6 + (1139*t[50])/48 + 
       (427*t[51])/24 - (2147*t[52])/48 + (37*t[53])/2 - (1343*t[54])/48 - 
       (347*t[59])/36 + (1363*t[60])/24 + (919*t[61])/24 + (85*t[62])/16 - 
       (1733*t[63])/16 - (4925*t[64])/48 + (865*t[65])/72 - (3227*t[66])/24 + 
       12*t[69] - 5*t[70] + 5*t[71] + 6*t[72] + 60*t[73] - 4*t[74] - 
       17*t[75] - (89*t[76])/6 - (15*t[77])/2 + 44*t[78] - (159*t[79])/2 - 
       29*t[80] - (31*t[81])/3 - (82*t[82])/3 - (147*t[83])/2 + 
       (113*t[84])/24 + (439*t[85])/24 - 63*t[86] - (5*t[87])/24 - 
       (53*t[88])/48 + (1877*t[89])/48 - t[91]/3 + 4*t[93] - (41*t[97])/6 + 
       16*t[98] - 46*t[99] + 17*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      Omega2[w, u, v]*((-5*t[1])/6 + (5*t[2])/3 + (29*t[3])/24 + 
       (35*t[4])/6 - (71*t[5])/16 + (5*t[6])/2 - (31*t[7])/24 - 
       (89*t[8])/24 + (637*t[9])/48 - 11*t[10] - (83*t[11])/24 + 
       (143*t[12])/48 - (43*t[13])/27 + t[14]/12 - (769*t[15])/96 - 
       (2*t[27])/3 + (4*t[28])/3 + (2*t[29])/3 - (2*t[30])/3 - 2*t[31] + 
       (2*t[32])/3 - (2*t[33])/3 + (8*t[34])/3 - (2*t[38])/3 + (4*t[39])/3 - 
       (5*t[40])/3 - t[41]/6 + t[42]/6 - (5*t[43])/3 - (8*t[44])/3 - 
       (19*t[45])/6 - 2*t[46] + 6*t[47] + (13*t[48])/12 + (31*t[49])/24 + 
       (5*t[50])/4 - (9*t[51])/16 + (3*t[52])/4 - (31*t[53])/24 + t[54]/2 - 
       (35*t[60])/12 + (47*t[61])/12 + (91*t[62])/12 + (31*t[63])/12 + 
       (91*t[64])/8 - (101*t[65])/18 + (124*t[66])/9 + t[69] + t[72] + 
       t[75] + (7*t[76])/3 - (4*t[78])/3 + 4*t[79] - (4*t[80])/3 + 
       (3*t[81])/2 + 2*t[82] - (3*t[83])/2 - (3*t[84])/2 + (5*t[85])/12 - 
       11*t[86] - (37*t[87])/12 - (37*t[88])/24 - (57*t[89])/8 + t[97]/3 + 
       16*t[98] - 24*t[99] + 17*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      Omega2[v, w, u]*(-t[1]/3 + (4*t[2])/3 - (97*t[3])/24 - t[4]/4 + 
       (13*t[5])/3 + (233*t[6])/48 - 15*t[7] + (7*t[8])/3 - (39*t[9])/8 + 
       (77*t[10])/8 - (373*t[11])/48 + (25*t[12])/24 + (29*t[13])/72 + 
       (311*t[14])/72 + (325*t[15])/216 + 2*t[28] + t[29]/3 - (7*t[30])/6 - 
       (2*t[31])/3 - (5*t[32])/2 + (5*t[33])/2 + (5*t[34])/3 - 2*t[35] - 
       3*t[36] - (2*t[38])/3 - t[39]/6 - (5*t[40])/6 - (4*t[43])/3 - 
       (10*t[44])/3 - (7*t[45])/3 + t[46]/2 + (5*t[47])/3 + (43*t[48])/48 + 
       (65*t[49])/24 - (79*t[50])/16 - (71*t[51])/48 + (301*t[52])/48 - 
       (65*t[53])/24 + (121*t[54])/48 + t[59]/6 - (181*t[60])/24 - 
       (119*t[61])/8 + (157*t[62])/48 - (111*t[63])/16 + (191*t[64])/48 + 
       (83*t[65])/72 + (113*t[66])/24 + 2*t[74] - 2*t[75] + (13*t[76])/3 + 
       (7*t[77])/3 - (22*t[78])/3 + 2*t[79] - 2*t[80] + (8*t[81])/3 - 
       (2*t[82])/3 + (13*t[83])/2 - (65*t[84])/24 - t[85]/24 - (22*t[86])/3 - 
       (31*t[87])/8 - (31*t[88])/16 - (139*t[89])/48 + t[97]/3 + 16*t[98] - 
       24*t[99] + 17*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      Omega2[v, w, u]*(-6*t[99] + 17*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*((5*t[60])/4 - (41*t[61])/4 + 
       (19*t[62])/2 + (3*t[63])/2 + (179*t[64])/8 + (205*t[65])/12 + 
       (277*t[66])/12 + t[69] - t[72] + 2*t[74] + 3*t[75] + 2*t[78] + 
       2*t[79] + t[80] + (3*t[81])/2 + (3*t[82])/2 - (13*t[83])/2 + 
       (3*t[84])/2 + t[85]/4 + 2*t[86] - (21*t[87])/4 - (21*t[88])/8 + 
       (9*t[89])/8 - 6*t[99] + 17*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((55*t[2])/8 - (105*t[3])/16 + 
       (5*t[4])/4 + 13*t[5] + (133*t[6])/8 - (77*t[7])/4 + (65*t[8])/2 - 
       (69*t[9])/8 + (53*t[10])/8 - (143*t[11])/8 - t[12] - (91*t[13])/72 + 
       (119*t[14])/24 + (2171*t[15])/288 - t[19]/2 + 3*t[28] + (5*t[29])/2 - 
       (31*t[30])/4 - 2*t[31] - 2*t[32] + (11*t[33])/4 + t[34] - 8*t[35] - 
       3*t[36] - t[37]/2 + t[39]/4 - t[40]/4 - (3*t[41])/4 + (3*t[42])/4 - 
       2*t[43] - (39*t[44])/8 - t[47] + (63*t[48])/8 + (7*t[49])/4 - 
       (55*t[50])/8 - (7*t[51])/8 + (55*t[52])/8 - (7*t[53])/4 + 
       (51*t[54])/4 + (3*t[59])/4 + (29*t[60])/8 - (323*t[61])/24 + 
       (8407*t[62])/288 + (2801*t[63])/288 - (4681*t[64])/144 + 
       (12641*t[65])/432 + (5033*t[66])/216 - t[67]/4 + t[69]/2 - t[72]/2 - 
       t[73] + 9*t[74] + (5*t[75])/2 + 2*t[77] - 2*t[78] + 4*t[79] - 
       (9*t[80])/2 - (2*t[81])/3 + (5*t[82])/3 - (109*t[83])/18 + 
       (695*t[84])/72 + (685*t[85])/72 - (491*t[86])/18 - (941*t[87])/72 - 
       (509*t[88])/144 + (829*t[89])/72 - 2*t[99] + (211*t[100])/12) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((4*t[1])/3 - (31*t[2])/3 + (185*t[3])/12 - 17*t[4] - (73*t[5])/12 - 
       (193*t[6])/6 + 39*t[7] - (275*t[8])/6 + (7*t[9])/4 - 14*t[10] + 
       (46*t[11])/3 - (23*t[12])/12 - (19*t[13])/12 - (799*t[14])/36 - 
       (1463*t[15])/108 - 6*t[28] - (23*t[29])/6 + (79*t[30])/6 - 
       (4*t[31])/3 + (9*t[32])/2 - (11*t[33])/2 - (8*t[34])/3 + 8*t[35] + 
       6*t[36] + (2*t[38])/3 + t[39]/6 + (5*t[40])/6 + t[41] - t[42] + 
       (4*t[43])/3 + (59*t[44])/6 + (7*t[45])/3 + t[47]/3 - (40*t[48])/3 - 
       (19*t[49])/3 + 13*t[50] + (11*t[51])/3 - (43*t[52])/3 + (19*t[53])/3 - 
       (58*t[54])/3 - (14*t[59])/3 + (29*t[60])/12 + (79*t[61])/6 - 
       (5011*t[62])/144 + (4519*t[63])/144 + (3583*t[64])/72 - 
       (13535*t[65])/216 - (2555*t[66])/108 + t[67] - 2*t[69] + 2*t[72] + 
       2*t[73] - (29*t[74])/2 - 2*t[75] - (7*t[76])/3 - (13*t[77])/3 + 
       (22*t[78])/3 - (89*t[79])/4 - 10*t[80] - t[81]/3 + (13*t[82])/3 + 
       (148*t[83])/9 - (143*t[84])/9 - (22*t[85])/9 + (1127*t[86])/36 + 
       (343*t[87])/18 + (199*t[88])/36 - (257*t[89])/18 - t[97]/3 - 
       16*t[98] + 8*t[99] + (55*t[100])/3) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*(-18*t[98] + 18*t[99] + 
       (147*t[100])/8) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-29*t[2])/8 - (3*t[3])/8 + (7*t[4])/2 - 
       (9*t[5])/2 + 4*t[6] + (9*t[7])/16 + (63*t[8])/16 + (185*t[9])/16 - 
       (7*t[10])/16 + (79*t[11])/16 + 3*t[12] + (1723*t[13])/288 + 
       (13*t[14])/16 - (887*t[15])/96 + t[19] - t[21] + t[23] + (3*t[28])/2 - 
       t[30] + 4*t[35] - (3*t[37])/2 + t[39] + t[41]/4 - t[42]/4 - 
       (15*t[43])/16 - (5*t[44])/2 - (5*t[45])/8 - (7*t[46])/4 + 
       (27*t[47])/4 + (11*t[48])/16 + t[49]/8 - (37*t[50])/16 + t[51] + 
       (37*t[52])/16 - t[53]/8 + (41*t[54])/16 - (145*t[60])/24 - t[61] - 
       (727*t[62])/24 + (101*t[63])/24 + (235*t[64])/8 - (67*t[65])/9 + 
       (209*t[66])/72 - t[68]/2 + 3*t[69] - (26*t[72])/3 + 6*t[73] - 
       (13*t[74])/2 - (17*t[75])/2 - 6*t[76] + t[77]/2 - 4*t[78] + 
       (13*t[79])/2 - (25*t[80])/2 - (31*t[81])/6 + (10*t[82])/3 + 
       (19*t[83])/2 - t[84]/24 + (71*t[85])/8 + (55*t[86])/3 + 
       (157*t[87])/24 + (157*t[88])/48 + (315*t[89])/16 - t[93] + t[97] - 
       14*t[98] + 11*t[99] + (37*t[100])/2) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((5*t[1])/6 - (71*t[2])/48 + (203*t[3])/48 - (53*t[4])/24 + 
       (267*t[5])/16 - (33*t[6])/8 - (181*t[7])/12 - (14*t[8])/3 - 
       (179*t[9])/6 - (9*t[10])/2 - (62*t[11])/3 - (289*t[12])/24 - 
       (5081*t[13])/432 - (521*t[14])/48 + (137*t[15])/24 + t[18]/12 - 
       t[19]/2 + t[21]/2 - (3*t[22])/4 - t[23]/2 + t[27]/6 - t[28]/12 - 
       t[29]/6 - t[30]/3 - (5*t[31])/4 - (7*t[32])/6 + t[33]/6 - 
       (2*t[34])/3 - 2*t[35] + (7*t[37])/4 + t[38]/6 - t[39]/3 + 
       (5*t[40])/12 - (11*t[41])/24 + (11*t[42])/24 + (161*t[43])/48 - 
       (7*t[44])/12 + (13*t[45])/6 + t[46] - 10*t[47] + (47*t[48])/12 + 
       (5*t[49])/6 - (5*t[50])/8 + t[51]/8 + t[52]/8 - (5*t[53])/6 + 
       t[54]/8 + (9*t[59])/4 - (803*t[60])/48 - (1967*t[61])/48 + 
       (2231*t[62])/48 + (279*t[63])/16 + (2129*t[64])/96 - (185*t[65])/24 + 
       (1183*t[66])/24 - t[69] - (4*t[72])/3 + t[73] - t[74] + (35*t[75])/4 - 
       (7*t[76])/12 - t[77]/2 + (16*t[78])/3 + t[79]/4 + (7*t[80])/3 - 
       (47*t[81])/24 + (11*t[82])/3 - (23*t[83])/6 + (73*t[84])/48 - 
       (215*t[85])/24 - 14*t[86] + (25*t[87])/2 + (25*t[88])/4 - 
       (37*t[89])/96 - t[97]/12 - 26*t[98] + 22*t[99] + (56*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-5*t[1])/12 + (53*t[2])/48 - (89*t[3])/24 - (21*t[4])/4 - 
       (205*t[5])/48 - (41*t[6])/12 + (189*t[7])/16 - (487*t[8])/48 + 
       (83*t[9])/8 + (77*t[10])/16 - (503*t[11])/48 - t[12]/24 - 
       (2509*t[13])/288 + (59*t[14])/144 - (847*t[15])/216 - t[19]/2 - 
       t[20]/2 + t[22]/2 - (3*t[28])/4 + (13*t[29])/6 - (23*t[30])/6 - 
       t[31]/12 + t[32] - t[33]/2 + (4*t[34])/3 + t[35]/2 + (7*t[37])/4 + 
       t[38]/6 + (7*t[39])/24 - t[40]/24 - t[41]/8 + t[42]/8 + (5*t[43])/24 + 
       (49*t[44])/12 + (7*t[45])/12 + t[46]/4 - t[47]/6 - (277*t[48])/48 + 
       (5*t[49])/12 + (71*t[50])/16 + (5*t[51])/48 - (229*t[52])/48 - 
       (5*t[53])/12 + (41*t[54])/48 - (5*t[59])/12 + (193*t[60])/12 - 
       (599*t[61])/48 - (3121*t[62])/576 + (25873*t[63])/576 - 
       (449*t[64])/288 + (14305*t[65])/864 + (4033*t[66])/432 - t[69]/2 - 
       (4*t[72])/3 - 3*t[73] - (13*t[74])/6 + (45*t[75])/4 - (37*t[76])/12 - 
       (7*t[77])/12 + (47*t[78])/6 - (73*t[79])/24 + t[80]/4 + (10*t[81])/3 + 
       t[82] - (14*t[83])/9 + (1681*t[84])/144 + (527*t[85])/144 - 
       (5*t[86])/72 - (781*t[87])/144 - (205*t[88])/288 + (2581*t[89])/288 - 
       t[97]/12 - 26*t[98] + 22*t[99] + (113*t[100])/6) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      (2*t[1] - 4*t[2] + (19*t[3])/4 + (15*t[4])/2 + (217*t[5])/8 - 
       (21*t[6])/4 - 33*t[7] + 3*t[8] - (453*t[9])/8 + (11*t[10])/2 - 
       (61*t[11])/4 - (145*t[12])/8 - (349*t[13])/72 - (259*t[14])/8 + 
       (689*t[15])/48 + t[22] + 2*t[27] - 2*t[29] + 2*t[30] - 4*t[31] - 
       2*t[32] + 2*t[33] - 8*t[34] - 8*t[35] + 2*t[37] + 2*t[38] - 2*t[39] + 
       5*t[40] + (15*t[43])/4 - t[45]/2 + 2*t[46] - 4*t[47] + (3*t[48])/2 - 
       4*t[49] - t[50]/2 + 2*t[51] - (11*t[52])/2 + 4*t[53] - (7*t[54])/2 + 
       (3*t[59])/2 - 20*t[60] - 63*t[61] + 67*t[62] - (59*t[63])/2 + 
       9*t[64] - (83*t[65])/6 + (317*t[66])/6 + 2*t[69] + 4*t[74] - 7*t[76] - 
       2*t[77] + 4*t[78] + 6*t[80] - 5*t[81] + 6*t[82] - t[83] + 2*t[84] - 
       14*t[85] - 16*t[86] + 21*t[87] + (21*t[88])/2 + (7*t[89])/2 - t[97] - 
       60*t[98] + 62*t[99] + 19*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2*(-t[59]/4 - (111*t[60])/16 - (1793*t[61])/48 + 
       (343*t[62])/96 + (445*t[63])/32 + (373*t[64])/32 + (2095*t[65])/144 + 
       (1841*t[66])/144 - t[69]/4 - t[72]/2 - (7*t[74])/2 + t[75] - 3*t[76] - 
       t[77] - (5*t[78])/4 + (13*t[79])/2 - (35*t[80])/4 + (119*t[83])/24 + 
       (73*t[84])/24 + (16*t[85])/3 + (287*t[86])/12 - (37*t[87])/12 - 
       (37*t[88])/24 + (7*t[89])/32 - (9*t[96])/4 - (3*t[97])/2 - 18*t[98] + 
       18*t[99] + (155*t[100])/8) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 
       1 - u]*((8*t[1])/3 - (70*t[2])/3 + (71*t[3])/3 + (193*t[4])/3 - 
       (133*t[5])/2 + (35*t[6])/6 + (95*t[7])/6 - (67*t[8])/6 + 
       (251*t[9])/3 - (103*t[10])/3 + (97*t[11])/3 + (325*t[12])/3 - 
       (4555*t[13])/108 - (2585*t[14])/36 - (749*t[15])/18 - 8*t[17] + 
       12*t[18] + 4*t[21] - (16*t[23])/3 + 28*t[24] + (32*t[34])/3 + 
       (2*t[41])/3 - 2*t[42] - (419*t[43])/6 - 39*t[45] + 10*t[46] + 
       (226*t[47])/3 - (14*t[48])/3 - (53*t[49])/6 - 4*t[50] - (7*t[51])/4 - 
       (20*t[52])/3 + (53*t[53])/6 + (7*t[54])/3 + 20*t[59] + 27*t[60] - 
       (557*t[61])/3 + (153*t[62])/2 - (189*t[63])/2 + (539*t[64])/6 + 
       (1159*t[65])/9 + (1981*t[66])/9 + 8*t[67] + 12*t[69] - 20*t[70] + 
       20*t[71] + 48*t[74] + (64*t[76])/3 + 8*t[77] - (32*t[78])/3 + 
       80*t[79] + 64*t[80] + (32*t[81])/3 - 36*t[83] - (25*t[84])/3 + 
       7*t[85] - (76*t[86])/3 - 49*t[87] - (49*t[88])/2 + (29*t[89])/2 - 
       8*t[94] + 128*t[98] - 128*t[99] + 20*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*(21*t[2] - (49*t[3])/6 + 
       27*t[4] - (91*t[5])/6 - (43*t[6])/3 + (23*t[7])/3 - (265*t[8])/3 + 
       (397*t[9])/6 + (155*t[10])/6 + 15*t[11] - 5*t[12] + (275*t[13])/18 + 
       (971*t[14])/36 - (1082*t[15])/27 - 12*t[20] - 8*t[28] - 2*t[29] - 
       (100*t[30])/3 - (38*t[32])/3 - (104*t[33])/3 + 8*t[34] + 8*t[35] - 
       (71*t[44])/3 - (32*t[45])/3 + (32*t[47])/3 + (44*t[48])/3 + 
       (49*t[49])/6 - 20*t[50] - (49*t[51])/12 + 20*t[52] - (49*t[53])/6 - 
       4*t[54] + 4*t[59] + 25*t[60] - 54*t[61] + (122*t[62])/3 - 
       (398*t[63])/3 + 81*t[64] + (49*t[65])/9 - (389*t[66])/9 + 2*t[67] + 
       4*t[69] - 8*t[70] + 8*t[71] + 20*t[74] + 80*t[75] + (64*t[76])/3 - 
       (80*t[78])/3 + 16*t[79] + (32*t[80])/3 + (10*t[81])/3 + 2*t[82] - 
       86*t[83] + t[84]/3 + (88*t[85])/3 + 24*t[86] - (82*t[87])/3 - 
       (97*t[88])/3 + (121*t[89])/6 - 8*t[95] + (32*t[96])/3 + 128*t[98] - 
       128*t[99] + 20*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*(-6*t[2] + (11*t[3])/16 + 
       (19*t[4])/2 + t[5]/16 - t[6]/4 - (51*t[7])/4 - (45*t[8])/4 - 
       (87*t[9])/16 + (57*t[10])/8 + (7*t[11])/2 - (37*t[12])/16 + 
       (50*t[13])/9 - (25*t[14])/8 - (451*t[15])/144 + t[20] - t[22] + 
       2*t[28] - (3*t[29])/4 + (3*t[30])/2 - t[31]/2 - (7*t[32])/4 + 
       (3*t[33])/2 - t[34] + t[35] - (5*t[36])/2 + t[37]/2 + t[41]/4 - 
       t[42]/4 - (5*t[43])/4 - (3*t[44])/8 + t[46]/4 + t[47]/2 + 
       (19*t[48])/8 + (9*t[49])/4 - (27*t[50])/8 - (15*t[51])/16 + 
       (27*t[52])/8 - (9*t[53])/4 - (11*t[54])/4 + (131*t[60])/8 - 
       (161*t[61])/12 + (509*t[62])/48 - (639*t[63])/16 - (165*t[64])/4 - 
       (137*t[65])/9 - (2837*t[66])/72 - t[69] + 2*t[72] - t[73] + t[74] - 
       (5*t[75])/2 - 2*t[76] + (5*t[77])/4 - (7*t[79])/4 - (23*t[80])/2 + 
       (19*t[81])/4 - (13*t[82])/4 - t[83]/6 - (49*t[84])/12 + 
       (89*t[85])/24 - (115*t[86])/12 - (281*t[87])/24 - (329*t[88])/48 - 
       (79*t[89])/16 - 14*t[98] + 11*t[99] + (41*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((3*t[1])/4 + 6*t[2] + (9*t[3])/8 + 14*t[4] - (129*t[5])/16 - 
       (19*t[6])/8 - (417*t[7])/16 - (67*t[8])/16 - (31*t[9])/4 - 
       (81*t[10])/16 - (287*t[11])/16 - (103*t[12])/16 - (2845*t[13])/288 - 
       (67*t[14])/12 + (61*t[15])/72 - t[18]/3 - (3*t[22])/2 + 2*t[28] - 
       2*t[30] - 6*t[31] - 5*t[35] + t[37]/2 - t[41]/2 + t[42]/2 - 
       (3*t[43])/16 - 4*t[44] - (5*t[45])/8 - (7*t[46])/4 - (27*t[47])/4 + 
       (55*t[48])/16 - (9*t[49])/8 + (39*t[50])/16 + (7*t[51])/8 - 
       (39*t[52])/16 + (9*t[53])/8 + (13*t[54])/16 + (5*t[59])/4 - 
       (107*t[60])/8 - (187*t[61])/8 + (531*t[62])/16 - (51*t[63])/16 - 
       (445*t[64])/16 - (73*t[65])/8 + (667*t[66])/24 + (3*t[69])/2 + t[73] + 
       3*t[74] - 2*t[75] + 2*t[77] - 2*t[79] - 6*t[80] - t[81]/2 - 2*t[82] + 
       (45*t[83])/4 - (7*t[84])/8 - (47*t[85])/8 - (35*t[86])/2 + 
       (93*t[87])/8 + (93*t[88])/16 - (109*t[89])/16 - 2*t[99] + 
       (85*t[100])/4) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, w, v]*
      (-48*t[60] - (112*t[61])/3 - (904*t[62])/9 - (584*t[63])/9 + 
       (1088*t[64])/9 - (976*t[65])/27 + (832*t[66])/27 - 32*t[74] + 
       16*t[79] - (32*t[81])/3 + (32*t[82])/3 + (64*t[83])/9 - (32*t[84])/9 - 
       (304*t[85])/9 + (1616*t[86])/9 + (368*t[87])/9 + (184*t[88])/9 - 
       (88*t[89])/9 + (64*t[100])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Qep[w, u, v]*(8*t[60] - 40*t[61] - (16*t[62])/9 - (224*t[63])/9 + 
       (188*t[64])/9 - (760*t[65])/27 - (1736*t[66])/27 - (32*t[74])/3 + 
       (64*t[79])/3 + (16*t[81])/3 - (16*t[82])/3 + (64*t[83])/9 - 
       (32*t[84])/9 + (200*t[85])/9 + (224*t[86])/9 - (136*t[87])/9 - 
       (68*t[88])/9 + (20*t[89])/9 + (64*t[100])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((-11*t[1])/9 - (61*t[2])/36 - (3317*t[3])/288 + (59*t[4])/24 - 
       (1099*t[5])/144 + (25*t[6])/576 + (52*t[7])/3 - (101*t[8])/18 + 
       (295*t[9])/32 - (163*t[10])/48 + (3775*t[11])/576 + (389*t[12])/72 - 
       (587*t[13])/864 + (9761*t[14])/1728 + (12559*t[15])/1296 - 
       (257*t[29])/72 - (29*t[30])/18 + (26*t[31])/9 + t[32]/12 - t[33]/12 + 
       (13*t[34])/36 + (13*t[36])/6 + (8*t[37])/3 + (2*t[38])/9 - 
       (5*t[39])/72 + (29*t[40])/72 + (13*t[43])/9 + (229*t[44])/36 + 
       (7*t[45])/9 - (5*t[47])/9 - t[48]/576 - (595*t[49])/144 + 
       (1613*t[50])/192 + (643*t[51])/288 - (5095*t[52])/576 + 
       (595*t[53])/144 - (151*t[54])/576 + (121*t[59])/36 + (35*t[60])/36 + 
       (1151*t[61])/48 + (10489*t[62])/288 + (1707*t[63])/32 - 
       (10315*t[64])/288 + (14045*t[65])/432 + (995*t[66])/36 - t[67]/4 - 
       (3*t[68])/4 + (25*t[69])/6 + 3*t[70] - 3*t[71] - (13*t[72])/6 - 
       5*t[73] + (19*t[74])/3 + (56*t[75])/3 - (371*t[76])/18 - t[77]/9 + 
       (613*t[78])/36 - (163*t[79])/12 - (23*t[80])/6 - (31*t[81])/18 + 
       (47*t[82])/36 - (179*t[83])/12 + (397*t[84])/36 - (203*t[85])/72 - 
       (691*t[86])/18 + (47*t[87])/16 + (47*t[88])/32 + (389*t[89])/72 - 
       t[91]/24 - t[92]/4 + t[93]/2 + t[94]/4 + (23*t[97])/36 - 
       (199*t[98])/3 + (214*t[99])/3 + (131*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-41*t[1])/6 - (3*t[2])/2 - 10*t[3] + 2*t[4] - (467*t[5])/24 + 
       (485*t[6])/72 + (121*t[7])/6 + (505*t[8])/12 + (187*t[9])/4 + 
       (561*t[10])/8 - (11*t[11])/2 - (125*t[12])/12 + (13343*t[13])/432 + 
       (377*t[14])/144 - (1135*t[15])/144 - t[17] + (20*t[18])/9 - 
       (10*t[19])/3 + 4*t[21] + t[22]/3 - 2*t[23] + 2*t[24] + (2*t[27])/3 - 
       (10*t[28])/3 - (2*t[29])/3 + (2*t[30])/3 - 6*t[31] + 2*t[32] - 
       (4*t[33])/3 + (16*t[34])/3 - 4*t[35] - 2*t[37] - (4*t[38])/3 - 
       (4*t[39])/3 - (10*t[40])/3 + (7*t[41])/6 + t[42]/18 - (101*t[43])/12 + 
       (2*t[44])/3 - (49*t[45])/4 + t[46] + (251*t[47])/6 + (19*t[48])/6 + 
       (179*t[49])/24 + (11*t[50])/2 - (53*t[51])/16 - (3*t[52])/2 - 
       (179*t[53])/24 - (51*t[54])/4 - (37*t[59])/18 - (79*t[60])/3 + 
       (123*t[61])/4 - (383*t[62])/8 + (235*t[63])/24 - (211*t[64])/12 + 
       54*t[65] - (2015*t[66])/36 - 7*t[69] - 3*t[72] + 2*t[73] - 
       (35*t[74])/6 - 4*t[75] + (14*t[76])/3 - 4*t[77] - (8*t[78])/3 + 
       (35*t[79])/12 + (131*t[80])/3 + (5*t[81])/2 - (17*t[82])/6 + 
       (59*t[83])/6 - (65*t[84])/12 - (15*t[85])/2 - (263*t[86])/12 + 
       15*t[87] + (15*t[88])/2 - (7*t[89])/12 + (2*t[97])/3 + 32*t[98] - 
       32*t[99] + 22*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((35*t[1])/24 + (55*t[2])/72 + (119*t[3])/24 - 
       (289*t[4])/36 + (895*t[5])/144 - (317*t[6])/48 - (419*t[7])/72 - 
       (1333*t[8])/72 - (1211*t[9])/144 - (719*t[10])/72 - (131*t[11])/48 - 
       (1225*t[12])/144 - (107*t[13])/1296 - (7259*t[14])/432 + 
       (413*t[15])/96 - (85*t[26])/36 + t[28]/2 + (25*t[34])/36 - 
       (3*t[35])/2 - t[37]/6 + (35*t[38])/18 + (2*t[39])/9 + (5*t[40])/18 - 
       (25*t[41])/72 + (25*t[42])/72 + (3*t[45])/2 + (37*t[46])/36 - 
       3*t[47] - (359*t[48])/144 - (247*t[49])/72 + (355*t[50])/48 + 
       (43*t[51])/48 - (1085*t[52])/144 + (49*t[53])/24 - (1145*t[54])/144 - 
       (5*t[58])/36 - (101*t[59])/72 - (1465*t[60])/72 - (61*t[61])/4 + 
       (8249*t[62])/288 + (1975*t[63])/288 + (935*t[64])/144 + 
       (1547*t[65])/144 + (19429*t[66])/432 - t[68]/2 - (7*t[69])/6 + 
       (4*t[72])/3 + t[73]/12 + t[74] - (11*t[75])/3 - (5*t[76])/4 - 
       (5*t[77])/9 - t[78]/9 + 3*t[79] - (59*t[80])/18 - (61*t[81])/18 + 
       (43*t[82])/9 - (5*t[83])/4 + (47*t[84])/72 + (53*t[85])/36 - 
       (71*t[86])/6 + (211*t[87])/18 + (203*t[88])/36 + (27*t[89])/16 - 
       (5*t[96])/3 - (35*t[97])/36 - (20*t[98])/3 + (19*t[99])/3 + 
       (68*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - w]*((5*t[1])/36 + (5*t[2])/36 - (23*t[3])/4 + 
       (115*t[4])/18 - (647*t[5])/144 + (271*t[6])/48 + (97*t[7])/24 + 
       (425*t[8])/24 + (1021*t[9])/144 - (233*t[10])/72 + (997*t[11])/144 + 
       (241*t[12])/144 + (7469*t[13])/648 + (373*t[14])/36 + 
       (599*t[15])/864 + (7*t[16])/12 + (5*t[25])/2 - (17*t[26])/9 + 
       t[28]/6 + (2*t[31])/3 - (5*t[34])/9 + (5*t[35])/6 - (17*t[36])/6 - 
       t[37]/2 - (5*t[38])/12 + (11*t[39])/36 - (11*t[40])/9 + (5*t[41])/18 - 
       (5*t[42])/18 - (5*t[45])/6 + (13*t[46])/12 + (5*t[47])/3 + 
       (727*t[48])/144 - (355*t[49])/72 - (139*t[50])/48 - (89*t[51])/24 + 
       (577*t[52])/144 - (7*t[53])/8 + (241*t[54])/144 + (5*t[58])/18 - 
       (11*t[59])/108 + (11*t[60])/6 + (1543*t[61])/72 - (673*t[62])/96 - 
       (8933*t[63])/288 + (2645*t[64])/72 - (395*t[65])/144 - 
       (13163*t[66])/432 + t[68]/2 - (3*t[69])/2 + t[70] - t[71] - 
       (13*t[72])/18 + (3*t[73])/4 + (8*t[74])/3 - (3*t[75])/2 - 
       (5*t[76])/6 + (17*t[77])/18 + (2*t[78])/9 - (8*t[79])/3 + t[80]/18 - 
       (5*t[81])/18 - (10*t[82])/9 - (8*t[83])/9 + (5*t[84])/6 - 
       (8*t[85])/9 - (9*t[86])/2 + (143*t[87])/12 + (413*t[88])/72 + 
       (1087*t[89])/72 + (5*t[96])/6 + (5*t[97])/18 - (20*t[98])/3 + 
       (19*t[99])/3 + (68*t[100])/3) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((4*t[1])/9 - (53*t[2])/72 - (583*t[3])/576 + 
       (203*t[4])/24 - (2147*t[5])/288 + (6479*t[6])/1152 - (17*t[7])/48 + 
       (971*t[8])/36 - (387*t[9])/64 - (295*t[10])/48 - (3895*t[11])/1152 - 
       (2167*t[12])/288 + (2315*t[13])/1728 - (659*t[14])/3456 + 
       (1225*t[15])/1296 + (181*t[29])/72 + (149*t[30])/144 + (2*t[31])/9 + 
       (19*t[32])/48 - (19*t[33])/48 - (277*t[34])/72 - (5*t[36])/6 + 
       t[37]/6 + (19*t[38])/18 + (19*t[39])/72 + (95*t[40])/72 + t[43]/9 - 
       (169*t[44])/72 + (133*t[45])/36 - (95*t[47])/36 + (7753*t[48])/1152 - 
       (133*t[49])/144 - (389*t[50])/384 + (361*t[51])/288 - 
       (1265*t[52])/1152 + (133*t[53])/144 + (8479*t[54])/1152 + 
       (247*t[59])/144 - (7219*t[60])/576 + (3889*t[61])/576 + 
       (221*t[62])/1152 - (16799*t[63])/384 + (25901*t[64])/1152 + 
       (1127*t[65])/192 - (259*t[66])/1728 - t[67]/4 + (5*t[69])/3 - 
       (7*t[72])/6 + (37*t[74])/12 + (8*t[75])/3 - (217*t[76])/36 - 
       (19*t[77])/36 + (85*t[78])/9 - (47*t[79])/24 + (14*t[80])/3 - 
       (13*t[81])/72 - (11*t[82])/18 - (26*t[83])/9 - (143*t[84])/192 - 
       (637*t[85])/64 + (149*t[86])/8 + (9551*t[87])/576 + 
       (9551*t[88])/1152 + (7295*t[89])/1152 + t[94]/4 - (19*t[97])/36 - 
       (61*t[98])/3 + (61*t[99])/3 + (275*t[100])/12) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      (t[1]/6 - (43*t[2])/12 + (29*t[3])/24 - (29*t[4])/12 + (71*t[5])/8 - 
       (9*t[6])/4 - (103*t[7])/24 - (77*t[8])/24 - (79*t[9])/6 + t[10]/8 - 
       (47*t[11])/24 - (143*t[12])/24 + (445*t[13])/216 - (34*t[14])/3 + 
       (65*t[15])/48 + t[18]/6 + t[27]/3 - t[28]/6 - t[29]/3 + t[30]/3 - 
       t[32]/3 + t[33]/3 - (4*t[34])/3 + t[37]/2 + t[38]/3 - (2*t[39])/3 + 
       (5*t[40])/6 + t[41]/12 - t[42]/12 + (41*t[43])/24 - t[44]/6 - 
       t[45]/6 + t[46]/2 + 2*t[47] - t[48]/6 + t[49]/6 + t[50]/4 + 
       (7*t[51])/8 - (5*t[52])/4 - t[53]/6 - (7*t[54])/4 - (13*t[59])/8 - 
       (113*t[60])/12 - (73*t[61])/6 - (121*t[62])/12 - (857*t[63])/48 + 
       (955*t[64])/16 - (647*t[65])/36 - (1573*t[66])/144 + (3*t[69])/4 + 
       t[72] + t[73] - t[74] - 4*t[75] - (7*t[76])/6 - 2*t[77] - 
       (17*t[78])/6 + (3*t[79])/4 + (107*t[80])/12 - (13*t[81])/4 + 
       (3*t[82])/2 + (409*t[83])/24 - (305*t[84])/48 + (127*t[85])/48 + 
       (28*t[86])/3 + (265*t[87])/16 + (265*t[88])/32 + (109*t[89])/16 - 
       t[97]/6 - 14*t[98] + 8*t[99] + (185*t[100])/8) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      (-t[59] + (119*t[60])/4 - (141*t[61])/4 + 25*t[62] - (239*t[63])/8 - 
       (1547*t[64])/48 + (1841*t[65])/72 + (1127*t[66])/72 - 2*t[69] - 
       (2*t[72])/3 + 5*t[73] + (19*t[74])/12 + 5*t[75] - 2*t[76] + 
       (5*t[77])/2 + 8*t[78] - (109*t[79])/24 + 2*t[80] + (7*t[81])/3 - 
       (5*t[82])/3 - (49*t[83])/6 + (29*t[84])/3 + (25*t[85])/6 - 
       (133*t[86])/24 - (38*t[87])/3 - (19*t[88])/3 + (91*t[89])/8 - 
       3*t[96] - 2*t[97] + 16*t[98] - 13*t[99] + (47*t[100])/2) + 
     HPL[{0, 1}, 1 - v]*M1[u, v, w]*((-2*t[1])/3 + (11*t[2])/12 - 
       (241*t[3])/48 - (9*t[4])/4 - (4*t[5])/3 - (61*t[6])/96 + (15*t[7])/2 - 
       (13*t[8])/12 + (101*t[9])/16 + t[10]/8 - (163*t[11])/96 + 
       (29*t[12])/24 - (457*t[13])/144 + (655*t[14])/288 + (173*t[15])/54 - 
       t[19] - (13*t[29])/12 + (7*t[30])/6 + (2*t[31])/3 + (11*t[34])/6 + 
       t[36] + 2*t[37] - t[38]/3 - t[39]/3 - t[40]/6 - t[41]/2 + t[42]/2 + 
       t[43]/3 + (11*t[44])/6 - (7*t[45])/6 + (5*t[47])/6 - (59*t[48])/96 + 
       (7*t[49])/24 + (79*t[50])/32 - (19*t[51])/48 - (173*t[52])/96 - 
       (7*t[53])/24 - (149*t[54])/96 - (2*t[59])/3 - (211*t[60])/48 - 
       (105*t[61])/16 + (1201*t[62])/96 + (517*t[63])/32 - (919*t[64])/96 + 
       (995*t[65])/144 + (943*t[66])/48 + t[69] - 2*t[72] + t[74] + 2*t[75] + 
       t[76]/6 + t[77]/6 + (10*t[78])/3 - 4*t[79] - t[80] - t[81]/6 + 
       (5*t[82])/3 - t[83]/2 - (29*t[84])/48 + (71*t[85])/48 - (26*t[86])/3 + 
       (37*t[87])/16 + (37*t[88])/32 + (167*t[89])/96 + t[97]/6 + 2*t[98] - 
       2*t[99] + (47*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((25*t[60])/24 + (245*t[61])/12 - 
       (7*t[62])/16 - (1339*t[63])/48 - (57*t[64])/4 + (37*t[65])/6 + 
       (317*t[66])/24 + 5*t[69] + (2*t[72])/3 - t[73] + 4*t[74] + 
       (3*t[75])/2 + 2*t[76] + t[77]/4 + 2*t[78] + (11*t[79])/4 + 
       (11*t[80])/2 - t[81]/12 + (23*t[82])/12 - (125*t[83])/6 + 2*t[84] - 
       (143*t[85])/24 + (57*t[86])/4 - (341*t[87])/24 - (389*t[88])/48 - 
       (179*t[89])/16 + 16*t[98] - 13*t[99] + (71*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((7*t[1])/12 - (11*t[2])/12 - (25*t[3])/48 + (175*t[4])/24 - 
       (73*t[5])/32 + (53*t[6])/8 + (8*t[7])/3 + (377*t[8])/24 + 
       (61*t[9])/96 - (39*t[10])/16 + (11*t[11])/24 - (55*t[12])/96 + 
       (1121*t[13])/864 - (29*t[14])/16 - (1105*t[15])/192 + t[18]/6 - 
       (5*t[22])/4 + t[25] + t[26]/2 + t[27]/6 - (5*t[28])/6 - t[29]/6 - 
       t[30]/3 - (3*t[31])/2 + t[32]/3 - (5*t[33])/6 - (7*t[34])/6 + 
       t[37]/2 - (5*t[38])/6 + (2*t[39])/3 - (19*t[40])/12 + (5*t[41])/12 - 
       (5*t[42])/12 + (11*t[43])/48 - (5*t[44])/6 + (17*t[45])/12 - 
       (5*t[46])/4 + t[47]/4 + (263*t[48])/48 - (5*t[49])/48 + 
       (13*t[50])/16 + (33*t[51])/32 + (19*t[52])/16 + (5*t[53])/48 - 
       (3*t[54])/16 + t[58]/2 + (17*t[59])/8 - (181*t[60])/48 - 
       (149*t[61])/12 - (2171*t[62])/192 + (23*t[63])/192 + (829*t[64])/32 + 
       (5737*t[65])/288 + (7333*t[66])/288 - t[72]/3 - (3*t[73])/2 + 
       t[74]/2 + (17*t[75])/4 - (49*t[76])/12 + t[77]/8 + (23*t[78])/6 + 
       (25*t[79])/6 - (35*t[80])/12 - (71*t[81])/24 + (31*t[82])/24 - 
       (5*t[83])/4 + (251*t[84])/48 - (25*t[85])/6 + (541*t[86])/24 + 
       (67*t[87])/24 + (67*t[88])/48 + (715*t[89])/96 + (5*t[97])/12 - 
       12*t[98] + 17*t[99] + (95*t[100])/4) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-7*t[1])/6 - (53*t[2])/24 + (43*t[3])/24 + (7*t[4])/8 - 
       (79*t[5])/48 + (41*t[6])/96 - (95*t[7])/8 - (275*t[8])/24 - 
       (15*t[9])/2 + (33*t[10])/16 - (961*t[11])/96 - (103*t[12])/24 - 
       (329*t[13])/72 - (1531*t[14])/144 - (709*t[15])/216 - t[19] + 
       (3*t[28])/2 + (37*t[29])/24 - (65*t[30])/24 + (2*t[31])/3 - 
       (17*t[32])/8 + (17*t[33])/8 - t[34]/6 + t[35] - 2*t[36] + 2*t[37] - 
       t[38]/3 - (4*t[39])/3 + (13*t[40])/12 - (3*t[41])/4 + (3*t[42])/4 - 
       t[43]/6 + (4*t[44])/3 + (7*t[45])/12 + t[46]/4 - (11*t[47])/12 + 
       (79*t[48])/96 + (35*t[49])/48 + (5*t[50])/32 - (29*t[51])/96 + 
       (49*t[52])/96 - (131*t[53])/48 - (11*t[54])/96 - (7*t[59])/6 - 
       (503*t[60])/48 - 21*t[61] + (223*t[62])/192 + (425*t[63])/192 + 
       (89*t[64])/6 - (307*t[65])/96 + (121*t[66])/18 + t[69]/4 - 
       (7*t[72])/12 - t[73]/2 + (11*t[75])/4 - (37*t[76])/12 - (7*t[77])/12 + 
       (17*t[78])/6 - t[79]/4 - (11*t[80])/4 - (5*t[81])/8 - (7*t[82])/24 + 
       (7*t[83])/8 + (5*t[84])/16 + (61*t[85])/24 + (45*t[86])/4 + 
       (137*t[87])/24 + (137*t[88])/48 + (151*t[89])/48 - (3*t[96])/2 - 
       (13*t[97])/12 - 12*t[98] + 17*t[99] + (143*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-14*t[1])/3 - (77*t[2])/4 - (5*t[3])/8 + (26*t[4])/3 + 
       (935*t[5])/24 + (223*t[6])/16 - (1279*t[7])/24 - (297*t[8])/8 - 
       (1601*t[9])/24 + (217*t[10])/8 - (937*t[11])/16 - (347*t[12])/24 - 
       (1999*t[13])/48 - (517*t[14])/16 + (1219*t[15])/108 + (7*t[17])/6 - 
       (4*t[18])/3 - 4*t[21] + (14*t[23])/3 - (11*t[24])/3 - (17*t[29])/6 + 
       (5*t[30])/3 - (7*t[31])/3 - (5*t[34])/3 + 2*t[36] + 4*t[37] + 
       (2*t[38])/3 + (2*t[39])/3 + t[40]/3 + (5*t[41])/6 - t[42]/6 + 
       (239*t[43])/24 + (13*t[44])/3 + (41*t[45])/12 - t[46]/2 - 
       (151*t[47])/6 + (123*t[48])/16 - (11*t[49])/4 - (23*t[50])/48 + 
       (3*t[51])/4 - (41*t[52])/48 + (11*t[53])/4 + (7*t[54])/48 + 
       (17*t[59])/6 - (211*t[60])/24 - (2399*t[61])/24 + (2895*t[62])/16 + 
       (817*t[63])/16 - (1907*t[64])/48 - (661*t[65])/24 + (1563*t[66])/8 - 
       t[67]/6 + 15*t[69] - t[70]/3 + t[71]/3 + 2*t[72] + (7*t[74])/3 + 
       12*t[75] - 3*t[76] - t[77]/3 + (38*t[78])/3 + 4*t[79] - (77*t[80])/3 - 
       t[81]/2 + (73*t[82])/6 - 34*t[83] + (157*t[84])/24 - (241*t[85])/24 - 
       (436*t[86])/3 - (47*t[87])/8 - (47*t[88])/16 - (101*t[89])/48 + 
       (4*t[94])/3 - t[97]/3 - 20*t[98] + 24*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      (t[1] + t[2]/2 + (95*t[3])/8 + (161*t[4])/4 - (761*t[5])/16 - 
       (57*t[6])/4 + (437*t[7])/8 - (519*t[8])/8 + (1189*t[9])/16 - 
       (55*t[10])/2 - 19*t[11] - (185*t[12])/16 - (947*t[13])/144 - 
       (153*t[14])/4 - (4873*t[15])/288 + 5*t[22] + 4*t[27] - 4*t[28] + 
       10*t[29] - 13*t[30] - 3*t[31] + 2*t[32] - 2*t[33] + 4*t[35] - 
       10*t[36] + 3*t[39] + 2*t[40] - 3*t[41] + 3*t[42] - 6*t[43] + 
       26*t[44] - (23*t[45])/4 + 4*t[46] + (29*t[47])/2 - (157*t[48])/8 - 
       (11*t[49])/8 + (143*t[50])/8 + (75*t[51])/16 - (143*t[52])/8 + 
       (11*t[53])/8 + (95*t[54])/8 + t[56]/2 - 2*t[57] - 2*t[59] - 
       (205*t[61])/4 + (259*t[62])/8 - (167*t[63])/8 - (91*t[64])/8 - 
       (67*t[65])/12 + (533*t[66])/12 - (11*t[77])/2 - 7*t[80] - 2*t[82] + 
       (43*t[86])/2 + (11*t[89])/2 + 24*t[98] - 24*t[99] + 24*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*(10*t[1] + 15*t[2] - 
       (51*t[3])/2 - (291*t[4])/4 + (333*t[5])/8 + (349*t[6])/16 - 
       (147*t[7])/4 + (153*t[8])/2 - (193*t[9])/4 + (511*t[10])/8 - 
       (573*t[11])/16 - (21*t[12])/2 - (1361*t[13])/72 + (397*t[14])/24 + 
       (291*t[15])/8 - 2*t[16] - 10*t[25] + 6*t[26] + t[27] + 4*t[28] - 
       3*t[29] - (5*t[30])/2 - 13*t[31] - 4*t[32] + 4*t[33] + 8*t[34] - 
       20*t[35] + 8*t[36] - 10*t[37] + 4*t[38] - 2*t[39] + 3*t[40] + 
       15*t[43] - 12*t[44] + (17*t[45])/2 + 7*t[46] - 19*t[47] + 
       (183*t[48])/16 - (281*t[49])/8 - (197*t[50])/16 + (163*t[51])/16 + 
       (197*t[52])/16 + (297*t[53])/8 + (709*t[54])/16 - (17*t[59])/2 - 
       74*t[60] + 18*t[61] + 89*t[62] - (105*t[63])/2 - (141*t[64])/2 + 
       109*t[65] + (214*t[66])/3 + t[67] + 7*t[68] - 4*t[70] + 4*t[71] + 
       10*t[72] - 26*t[73] + 62*t[75] - (45*t[76])/2 + 7*t[77] - 5*t[78] + 
       6*t[79] + 76*t[80] - (3*t[81])/2 + 24*t[82] - 44*t[83] - 
       (15*t[84])/2 - (63*t[85])/2 - 112*t[86] + (171*t[87])/2 + 
       (171*t[88])/4 + (79*t[89])/4 - t[91]/6 + t[92] - t[94] - 2*t[97] + 
       24*t[98] - 24*t[99] + 24*t[100]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*(t[1] - (59*t[2])/4 + (209*t[3])/2 + 
       (73*t[4])/4 + 106*t[5] - (655*t[6])/8 - (89*t[7])/2 - 71*t[8] - 
       (643*t[9])/4 + (343*t[10])/8 + (339*t[11])/8 - (631*t[12])/8 - 
       (151*t[13])/18 - (4889*t[14])/48 - (95*t[15])/6 + t[17]/2 - 4*t[19] - 
       4*t[20] - 4*t[21] + 12*t[22] + 2*t[23] - 2*t[24] + 4*t[27] - 8*t[28] + 
       13*t[29] + 4*t[30] - 24*t[31] - 9*t[32] + 3*t[33] - 34*t[34] + 
       8*t[35] + 8*t[36] - 4*t[37] + 4*t[38] - 2*t[39] + 8*t[40] - 6*t[41] + 
       6*t[42] - (23*t[43])/4 + (59*t[44])/2 + 26*t[45] + 2*t[46] - 
       31*t[47] - (25*t[48])/8 + (189*t[49])/8 - (141*t[50])/8 - 
       (257*t[51])/16 + (125*t[52])/8 - (189*t[53])/8 - (745*t[54])/8 - 
       2*t[55] + 4*t[57] - 6*t[59] - (345*t[60])/4 - 56*t[61] - 
       (323*t[62])/8 - (705*t[63])/8 + (289*t[64])/2 - (67*t[65])/3 - 
       (170*t[66])/3 + t[67] - t[68] + 24*t[72] + 20*t[73] - 60*t[75] + 
       25*t[76] - 2*t[77] - 89*t[78] - 12*t[79] - 46*t[80] - (17*t[81])/2 - 
       (7*t[82])/2 + 18*t[83] - 12*t[84] + (23*t[85])/4 + 95*t[86] + 
       (261*t[87])/4 + (13*t[88])/8 - (39*t[89])/2 + 2*t[93] + 4*t[95] + 
       10*t[96] - 4*t[97] - 36*t[98] + 36*t[99] + 24*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*(-4*t[1] + (43*t[2])/4 + 
       33*t[3] + 42*t[4] - (169*t[5])/8 - (459*t[6])/8 + (57*t[7])/2 - 
       35*t[8] - (45*t[9])/8 - (353*t[10])/4 + (651*t[11])/8 + (37*t[12])/8 - 
       (299*t[13])/12 - (87*t[14])/8 - (5177*t[15])/144 - (5*t[17])/2 - 
       4*t[19] + 24*t[20] + 4*t[21] - 2*t[22] + 4*t[24] - t[25] + 6*t[26] - 
       t[27] + 28*t[28] + 3*t[29] + 6*t[30] + 2*t[32] - 2*t[33] - 7*t[34] - 
       8*t[35] + 4*t[36] + 8*t[37] - 4*t[38] + 14*t[39] - 4*t[40] + 5*t[41] - 
       t[42] + t[43]/4 - (7*t[44])/2 + 7*t[45] - (11*t[46])/2 + 4*t[47] + 
       (219*t[48])/8 + (23*t[49])/4 + (23*t[50])/8 + (25*t[51])/8 + t[52]/8 - 
       (31*t[53])/4 - (195*t[54])/8 - 4*t[57] + 4*t[58] - 4*t[59] + 
       (143*t[60])/2 + 128*t[61] - 115*t[62] - 108*t[63] + 16*t[64] + 
       (232*t[65])/3 - (305*t[66])/2 - 4*t[70] + 4*t[71] - 4*t[74] - 
       2*t[76] + 12*t[77] + 3*t[78] + 18*t[80] + 5*t[81] + t[82] + 9*t[84] - 
       4*t[85] + 17*t[86] + 3*t[87] + (3*t[88])/2 + (217*t[89])/4 - t[92] + 
       t[94] - 2*t[97] - 36*t[98] + 36*t[99] + 24*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (-t[3]/2 - 2*t[4] - t[5] - (7*t[6])/4 + 5*t[7] + 3*t[8] + t[9]/2 - 
       t[10] - (9*t[11])/4 + t[12] - (5*t[13])/2 - (5*t[14])/12 + 
       (5*t[15])/6 + t[39] - t[40] + t[44] + (3*t[48])/4 + t[49] + 
       (3*t[50])/4 - (3*t[52])/4 - t[53] + (9*t[54])/4 + t[59] + 
       (125*t[60])/8 + (29*t[61])/24 + (1549*t[62])/36 + (415*t[63])/18 - 
       (13607*t[64])/144 + (2621*t[65])/216 + (10483*t[66])/216 + t[67]/2 + 
       2*t[69] + t[72] + 16*t[74] - 2*t[75] - t[77]/2 - 2*t[78] - 
       (81*t[79])/4 - 13*t[80] + (23*t[81])/12 + (25*t[82])/12 - 
       (103*t[83])/9 + (2*t[84])/9 + (539*t[85])/72 - (2195*t[86])/36 - 
       (1075*t[87])/72 - (1075*t[88])/144 - (335*t[89])/144 - t[94]/2 + 
       (145*t[100])/6) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*
      ((59*t[1])/8 - (203*t[2])/48 - (149*t[3])/96 - (791*t[4])/96 - 
       (137*t[5])/24 + (95*t[6])/96 + (235*t[7])/32 + (1057*t[8])/96 - 
       (47*t[9])/96 - (2981*t[10])/192 + (1627*t[11])/96 + (2789*t[12])/192 + 
       (11395*t[13])/864 + (5005*t[14])/384 + (11293*t[15])/576 + 
       (5*t[16])/2 + (3*t[18])/2 - 2*t[19] + 13*t[20] - 3*t[21] - 
       (55*t[22])/12 + 3*t[23] - 8*t[24] + (23*t[26])/8 - (19*t[27])/6 + 
       (25*t[28])/6 - (119*t[29])/24 - 6*t[30] - (41*t[31])/6 + t[32]/6 - 
       (41*t[33])/12 - (79*t[34])/12 - (5*t[35])/3 + t[36]/2 - (35*t[37])/6 + 
       (11*t[38])/24 + 3*t[39] - (35*t[40])/12 - (37*t[41])/24 + 
       (55*t[42])/24 + (211*t[43])/32 + (359*t[44])/48 - 15*t[45] + 
       (103*t[46])/12 + (553*t[47])/24 - (11*t[48])/96 - (5965*t[49])/192 + 
       (243*t[50])/32 + (3581*t[51])/384 - (219*t[52])/32 + 
       (5341*t[53])/192 + 5*t[54] - t[56]/2 - (3*t[57])/2 + (9*t[58])/8 + 
       (83*t[59])/48 + (5729*t[60])/96 + (811*t[61])/96 + (817*t[62])/192 - 
       (10291*t[63])/64 - (1631*t[64])/64 + (3775*t[65])/96 + 
       (149*t[66])/96 - (3*t[67])/2 - (7*t[68])/2 + (23*t[69])/3 - 
       (3*t[70])/2 + (3*t[71])/2 + (17*t[72])/2 + (19*t[73])/6 - 
       (35*t[74])/3 + (23*t[75])/6 - (239*t[76])/12 + (95*t[77])/12 + 
       (511*t[78])/24 - (21*t[79])/2 + (215*t[80])/4 - (239*t[81])/24 + 
       (5*t[82])/8 - 23*t[83] + (747*t[84])/32 - (1053*t[85])/32 - 
       (337*t[86])/24 + (529*t[87])/32 + (785*t[88])/64 + (8459*t[89])/192 + 
       t[91]/24 - (5*t[92])/4 + (3*t[93])/2 + (3*t[94])/2 - (3*t[96])/4 - 
       (13*t[97])/24 - 92*t[98] + 94*t[99] + (49*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      (t[1]/6 - (61*t[2])/24 - (37*t[3])/24 + (5*t[4])/4 - (11*t[5])/48 - 
       (199*t[6])/48 + (31*t[7])/4 - (191*t[8])/12 + (41*t[9])/16 + 
       (19*t[10])/4 + (23*t[11])/48 + (5*t[12])/48 + (89*t[13])/72 - 
       (277*t[14])/72 - (2435*t[15])/864 - (17*t[29])/12 + (13*t[30])/12 - 
       t[31]/6 + t[32]/4 - t[33]/4 - t[34]/3 + t[37]/2 + t[38]/3 + t[39]/3 + 
       t[40]/6 + t[41]/4 - t[42]/4 - t[43]/12 + (11*t[44])/3 + (7*t[45])/6 + 
       t[46]/2 - t[47]/3 - (161*t[48])/48 - (5*t[49])/12 + (53*t[50])/16 + 
       (5*t[51])/6 - (191*t[52])/48 + (5*t[53])/12 - (119*t[54])/48 - 
       (7*t[59])/12 - (7*t[60])/6 - (13*t[61])/4 + (53*t[62])/24 - 
       (33*t[63])/8 + (55*t[64])/6 + (71*t[65])/72 + (115*t[66])/24 + 
       (5*t[75])/2 - (13*t[76])/6 - t[77]/6 + (14*t[78])/3 - t[79] - 
       (3*t[80])/2 + (23*t[81])/12 + (13*t[82])/12 + t[83]/2 + 
       (43*t[84])/24 - (11*t[85])/12 - (13*t[86])/3 + (17*t[87])/4 + 
       (17*t[88])/8 - (5*t[89])/24 - t[97]/6 - 14*t[98] + 8*t[99] + 
       (197*t[100])/8) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(2*t[59] - (27*t[60])/4 - (47*t[61])/4 - 
       (289*t[62])/12 + (457*t[63])/12 + (79*t[64])/24 - (1261*t[65])/36 + 
       (127*t[66])/36 + t[67] - 17*t[74] - 10*t[79] - 12*t[80] - 
       (7*t[81])/2 + (7*t[82])/2 + (22*t[83])/3 - (11*t[84])/3 + 
       (17*t[85])/12 + (143*t[86])/3 + (71*t[87])/12 + (71*t[88])/24 + 
       (91*t[89])/24 + 25*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*((31*t[1])/6 + (27*t[2])/4 + 
       (117*t[3])/8 + (41*t[4])/12 + (833*t[5])/48 + (65*t[6])/8 - 
       (73*t[7])/24 + (555*t[8])/8 - (1085*t[9])/48 - (671*t[10])/8 - 
       (82*t[11])/3 - (41*t[12])/48 - (931*t[13])/24 - (965*t[14])/16 - 
       (3361*t[15])/288 - t[17]/3 - t[22]/3 + 2*t[24] - (8*t[25])/3 + 
       (10*t[26])/3 - 2*t[27] + t[28]/3 + (5*t[29])/3 - (5*t[30])/3 - 
       14*t[31] - (2*t[32])/3 - 7*t[34] - 6*t[35] + t[36] + 3*t[37] + 
       (7*t[38])/3 + (2*t[39])/3 + t[40]/6 - (2*t[41])/3 + (2*t[42])/3 - 
       (97*t[43])/12 + t[44]/3 - (13*t[45])/2 + (8*t[46])/3 + 19*t[47] + 
       (141*t[48])/8 - (49*t[49])/4 + (115*t[50])/24 + (19*t[51])/24 - 
       (35*t[52])/24 + (49*t[53])/4 + (205*t[54])/24 + (5*t[58])/3 - 
       (5*t[59])/4 - 80*t[60] - (151*t[61])/6 + (83*t[62])/2 - 
       (949*t[63])/12 + (1127*t[64])/24 + (503*t[65])/12 + (1976*t[66])/9 + 
       (2*t[67])/3 + (4*t[68])/3 + 6*t[69] + 4*t[73] + (27*t[74])/2 + 
       6*t[75] - (19*t[76])/3 - (2*t[77])/3 + (65*t[78])/6 + (35*t[79])/12 + 
       (4*t[80])/3 - (46*t[81])/3 + (31*t[82])/6 - (119*t[83])/3 + 
       (51*t[84])/4 - (125*t[85])/3 + (499*t[86])/12 + (221*t[87])/6 + 
       (215*t[88])/12 - 9*t[89] + (2*t[92])/3 - (2*t[94])/3 - (11*t[97])/6 - 
       40*t[98] + 56*t[99] + 25*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-7*t[1])/3 - (73*t[2])/4 - (109*t[3])/12 - 
       (129*t[4])/4 + (851*t[5])/24 + 9*t[6] - (1141*t[7])/24 - 
       (569*t[8])/24 - (177*t[9])/4 + (455*t[10])/12 - (433*t[11])/8 - 
       (21*t[12])/2 - (12781*t[13])/432 - (169*t[14])/48 + (139*t[15])/9 + 
       (3*t[17])/2 + (2*t[18])/3 + 8*t[19] - (8*t[21])/3 + (10*t[23])/3 - 
       (2*t[24])/3 - 3*t[31] - (2*t[34])/3 + 2*t[37] - t[38]/3 + 
       (53*t[41])/6 - (55*t[42])/6 + (265*t[43])/24 + (143*t[45])/12 + 
       (5*t[46])/3 - (227*t[47])/6 + (27*t[48])/8 - (235*t[49])/24 + 
       (17*t[50])/24 + (95*t[51])/48 - t[52]/24 + (235*t[53])/24 + 
       (147*t[54])/8 + (5*t[59])/2 - (77*t[60])/6 - (280*t[61])/3 + 
       (1747*t[62])/12 + (175*t[63])/4 + 34*t[64] - (509*t[65])/36 + 
       (593*t[66])/4 - t[67]/6 - 3*t[69] - t[70]/3 + t[71]/3 - 2*t[72] + 
       t[74]/3 + 8*t[75] + (4*t[76])/3 + (10*t[78])/3 + 12*t[79] - 
       (47*t[80])/3 + (7*t[81])/6 + (19*t[82])/2 - 25*t[83] + (85*t[84])/12 - 
       (37*t[85])/3 - (308*t[86])/3 - (9*t[87])/2 - (9*t[88])/4 - t[89] + 
       (4*t[94])/3 + 8*t[98] - 28*t[99] + 26*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (t[1]/6 - (523*t[2])/12 - (497*t[3])/24 - (263*t[4])/12 - 
       (533*t[5])/12 + 21*t[6] + 26*t[7] + (47*t[8])/2 + 46*t[9] + 
       (347*t[10])/24 - (695*t[11])/12 + (33*t[12])/8 - (1129*t[13])/36 + 
       (2899*t[14])/144 - (1145*t[15])/432 + 2*t[18] + 7*t[20] - 5*t[22] + 
       2*t[23] - 6*t[28] + (37*t[29])/6 - (23*t[30])/3 - (5*t[32])/6 + 
       (13*t[33])/3 + (2*t[34])/3 + 10*t[35] + 2*t[37] + (4*t[40])/3 + 
       t[41] - t[42] - (97*t[44])/12 - (4*t[45])/3 + (10*t[47])/3 + 
       (23*t[48])/3 - (5*t[49])/24 + (14*t[50])/3 + (5*t[51])/48 - 
       (23*t[52])/3 + (5*t[53])/24 + (81*t[54])/2 + (55*t[59])/6 + 
       (173*t[60])/12 - (5*t[61])/6 - (76*t[62])/3 - (175*t[63])/12 + 
       (7*t[64])/4 + (146*t[65])/9 + (461*t[66])/9 - t[67]/2 + 2*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 - (11*t[74])/3 + 2*t[75] + (4*t[76])/3 - 
       (2*t[78])/3 - (2*t[80])/3 + (2*t[82])/3 + 6*t[83] + (27*t[84])/2 + 
       (34*t[85])/3 + 16*t[86] - (7*t[87])/3 + (47*t[88])/6 + 
       (703*t[89])/24 - (20*t[95])/3 + t[97]/3 + 8*t[98] - 28*t[99] + 
       26*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      (-t[1] + (3*t[2])/2 - 17*t[3] - (11*t[4])/4 - 12*t[5] + (9*t[6])/8 + 
       21*t[7] - (5*t[8])/2 + 18*t[9] - (53*t[10])/8 - (11*t[11])/8 + 
       (25*t[12])/8 - (53*t[13])/18 + (673*t[14])/48 + (617*t[15])/72 - 
       t[29]/2 + (7*t[30])/2 + 2*t[31] + t[32]/2 - t[33]/2 + 2*t[34] + 
       3*t[36] + 2*t[37] - t[39]/2 + t[40]/2 + t[43] + 5*t[44] - t[46]/2 - 
       (7*t[48])/8 - (31*t[49])/8 + (81*t[50])/8 + (25*t[51])/16 - 
       (81*t[52])/8 + (31*t[53])/8 + (21*t[54])/8 + (3*t[59])/2 - 
       (5*t[60])/4 + (119*t[61])/4 + (77*t[62])/4 + (139*t[63])/4 - 
       (273*t[64])/8 + (83*t[65])/6 + (271*t[66])/12 + 2*t[69] - 4*t[72] + 
       2*t[74] + 8*t[75] - 4*t[76] + 16*t[78] - 12*t[79] + t[82] - 
       (11*t[83])/2 + (11*t[84])/2 - t[85]/2 - 24*t[86] + 6*t[87] + 3*t[88] + 
       (47*t[89])/8 - 12*t[98] + 12*t[99] + 27*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((2*t[1])/3 - (40*t[2])/3 + (47*t[3])/24 - (371*t[4])/12 + 
       (559*t[5])/16 - (19*t[6])/4 - (7*t[7])/24 + (79*t[8])/24 - 
       (2177*t[9])/48 + (87*t[10])/8 - (239*t[11])/24 - (349*t[12])/48 - 
       (1679*t[13])/216 - (1133*t[14])/48 + (1505*t[15])/96 + (2*t[18])/3 + 
       3*t[22] + (4*t[27])/3 + (4*t[28])/3 - (4*t[29])/3 + (16*t[30])/3 + 
       6*t[31] - (4*t[32])/3 + (4*t[33])/3 - (16*t[34])/3 + 2*t[37] + 
       (4*t[38])/3 - (2*t[39])/3 + (10*t[40])/3 + (5*t[41])/6 - (5*t[42])/6 + 
       (35*t[43])/6 + (10*t[44])/3 - (7*t[45])/6 + 6*t[46] + 5*t[47] - 
       (19*t[48])/6 - (55*t[49])/12 - (9*t[50])/2 + (5*t[51])/8 + t[52]/2 + 
       (55*t[53])/12 + 3*t[54] - t[59]/2 - (26*t[60])/3 - (118*t[61])/3 + 
       (259*t[62])/12 - (161*t[63])/12 + (343*t[64])/4 - (13*t[65])/36 + 
       (1537*t[66])/36 - 2*t[73] + 4*t[75] - (14*t[76])/3 - 5*t[77] + 
       (8*t[78])/3 + 4*t[79] + (71*t[80])/3 - 4*t[81] + (21*t[82])/2 - 
       8*t[83] - (19*t[85])/3 + 11*t[86] + (29*t[87])/3 + (29*t[88])/6 + 
       10*t[89] - (2*t[97])/3 - 44*t[98] + 36*t[99] + 28*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-13*t[1])/6 - (56*t[2])/3 - (269*t[3])/24 - (167*t[4])/6 + 
       (581*t[5])/16 + (53*t[6])/8 - (941*t[7])/24 + (569*t[8])/24 - 
       (2611*t[9])/48 + 29*t[10] - (107*t[11])/12 - (485*t[12])/48 + 
       (3629*t[13])/216 - (169*t[14])/12 + (2063*t[15])/96 + 4*t[17] - 
       9*t[18] + 5*t[19] - t[21] + t[22] + 3*t[23] - 5*t[24] + (8*t[27])/3 - 
       (16*t[28])/3 - (8*t[29])/3 + (14*t[30])/3 + 9*t[31] - (8*t[32])/3 + 
       (8*t[33])/3 - (32*t[34])/3 - 4*t[35] + (8*t[38])/3 - (16*t[39])/3 + 
       (20*t[40])/3 + (17*t[41])/3 - (17*t[42])/3 + (49*t[43])/6 + 
       (8*t[44])/3 + (127*t[45])/6 + 3*t[46] - 31*t[47] - (293*t[48])/24 - 
       (211*t[49])/24 - (55*t[50])/8 + (77*t[51])/16 - (9*t[52])/8 + 
       (211*t[53])/24 - (27*t[54])/8 - t[59]/2 - (46*t[60])/3 - 
       (83*t[61])/3 + (263*t[62])/12 - (439*t[63])/12 + (81*t[64])/4 - 
       (35*t[65])/36 + (419*t[66])/36 - (28*t[76])/3 - 7*t[77] + 
       (16*t[78])/3 - (5*t[80])/3 - 4*t[81] + (9*t[82])/2 + 2*t[84] - 
       (26*t[85])/3 + 3*t[86] + (58*t[87])/3 + (29*t[88])/3 + 9*t[89] - 
       (4*t[97])/3 - 76*t[98] + 76*t[99] + 28*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((4*t[1])/3 - (199*t[2])/6 + (205*t[3])/8 + (4*t[4])/3 + 
       (211*t[5])/16 + (5*t[6])/12 - (57*t[7])/8 + (475*t[8])/24 - 
       (2441*t[9])/48 + (71*t[10])/4 - (55*t[11])/24 - (181*t[12])/16 + 
       (2267*t[13])/216 - (250*t[14])/9 + (5155*t[15])/288 - 5*t[18] - 
       18*t[20] + 11*t[22] + (8*t[27])/3 - (16*t[28])/3 + (11*t[29])/3 + 
       (14*t[30])/3 - (26*t[32])/3 + 13*t[33] - (56*t[34])/3 - 4*t[35] + 
       (8*t[38])/3 - (16*t[39])/3 + (20*t[40])/3 + t[41]/6 - t[42]/6 + 
       (5*t[43])/3 + (50*t[44])/3 + (25*t[45])/6 + t[46] + t[47] + t[48]/3 - 
       (45*t[49])/8 + (28*t[50])/3 + (227*t[51])/48 - (52*t[52])/3 + 
       (45*t[53])/8 - (53*t[54])/12 + (23*t[59])/6 - (93*t[60])/4 - 
       (695*t[61])/12 + (285*t[62])/8 - (707*t[63])/24 - (233*t[64])/24 + 
       (11*t[65])/9 + (524*t[66])/9 - (7*t[67])/3 + 9*t[69] + t[70] - t[71] - 
       (14*t[74])/3 - (28*t[76])/3 - 3*t[77] + (16*t[78])/3 - (5*t[80])/3 - 
       (19*t[81])/3 + (41*t[82])/6 + (29*t[84])/12 - (79*t[85])/12 + 
       3*t[86] + (87*t[87])/4 + (63*t[88])/8 + (275*t[89])/24 - (4*t[97])/3 - 
       76*t[98] + 76*t[99] + 28*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*((-49*t[1])/6 - (34*t[2])/3 - 
       (493*t[3])/24 - (97*t[4])/12 - (11*t[5])/6 + (1099*t[6])/48 - 
       (53*t[7])/6 + (5*t[8])/6 + (11*t[9])/24 + (817*t[10])/24 - 
       (475*t[11])/48 + (229*t[12])/24 - (3289*t[13])/216 - (35*t[14])/18 + 
       (2807*t[15])/216 + (14*t[17])/3 - (13*t[18])/3 - 3*t[19] - t[21] + 
       (17*t[23])/3 - (17*t[24])/3 - (5*t[29])/6 + (8*t[30])/3 + 
       (35*t[31])/3 + t[32] - t[33] - (31*t[34])/3 + 2*t[36] + (8*t[38])/3 + 
       (5*t[39])/3 + (7*t[40])/3 + (7*t[41])/6 + t[42]/6 + (25*t[43])/3 + 
       (19*t[44])/3 + (82*t[45])/3 + (7*t[46])/3 - (122*t[47])/3 - 
       (251*t[48])/48 - (63*t[49])/8 + (125*t[50])/48 + (67*t[51])/16 - 
       (127*t[52])/16 + (63*t[53])/8 - (193*t[54])/48 - (7*t[59])/2 + 
       (73*t[60])/8 + (563*t[61])/24 + (1795*t[62])/48 - (163*t[63])/48 - 
       (979*t[64])/16 - (63*t[65])/8 + (985*t[66])/24 + 16*t[69] + 2*t[74] + 
       12*t[75] - (46*t[76])/3 - (4*t[77])/3 + (88*t[78])/3 - 16*t[79] - 
       (4*t[80])/3 - (2*t[81])/3 - (7*t[82])/3 - 16*t[83] + (89*t[84])/24 + 
       (37*t[85])/24 - 44*t[86] + (63*t[87])/8 + (63*t[88])/16 + 
       (721*t[89])/48 - (4*t[97])/3 - 76*t[98] + 76*t[99] + 28*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((4*t[1])/3 - (118*t[2])/3 + (295*t[3])/24 + (47*t[4])/4 - 
       (653*t[5])/24 + (85*t[6])/48 + (83*t[7])/4 + (329*t[8])/12 + 
       (5*t[9])/4 + (49*t[10])/8 - (833*t[11])/48 - (167*t[12])/12 - 
       (83*t[13])/24 - (1003*t[14])/36 + (6949*t[15])/432 - 5*t[18] - 
       18*t[20] + 10*t[22] + (85*t[29])/6 + (8*t[30])/3 + (8*t[31])/3 - 
       3*t[32] + 8*t[33] - (47*t[34])/3 + 2*t[36] + (8*t[38])/3 + 
       (5*t[39])/3 + (7*t[40])/3 + (4*t[43])/3 + (4*t[44])/3 + (28*t[45])/3 - 
       (20*t[47])/3 + (419*t[48])/48 - (101*t[49])/24 + (281*t[50])/16 + 
       (197*t[51])/48 - (1099*t[52])/48 + (101*t[53])/24 + (569*t[54])/48 + 
       (65*t[59])/6 - (1727*t[60])/24 + (243*t[61])/8 + (2777*t[62])/48 + 
       (549*t[63])/16 - (1499*t[64])/48 + (3655*t[65])/72 + (1279*t[66])/24 - 
       2*t[67] + 9*t[69] + t[70] - t[71] - 2*t[74] + 12*t[75] - 
       (46*t[76])/3 - (4*t[77])/3 + (88*t[78])/3 - 16*t[79] - 4*t[80] - 
       (8*t[81])/3 - t[82]/3 - 16*t[83] + (107*t[84])/24 - (293*t[85])/24 - 
       (140*t[86])/3 + (353*t[87])/8 + (353*t[88])/16 + (931*t[89])/48 - 
       (4*t[97])/3 - 76*t[98] + 76*t[99] + 28*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]^2*((7*t[60])/4 - (69*t[61])/4 + 
       (271*t[62])/8 + (109*t[63])/8 - (595*t[64])/8 - (23*t[65])/3 + 
       (229*t[66])/12 + t[69] + 7*t[70] - 7*t[71] - (9*t[79])/2 - 18*t[80] - 
       (7*t[81])/2 + (7*t[82])/2 + 5*t[83] - (5*t[84])/4 + 4*t[85] - 
       (37*t[86])/2 - (11*t[87])/2 - (11*t[88])/4 - (115*t[89])/8 + 
       (57*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*(-t[1]/6 + t[2]/6 + (35*t[3])/48 - (7*t[4])/2 - 
       (317*t[5])/24 - (427*t[6])/96 + (85*t[7])/4 - (29*t[8])/6 + 
       (97*t[9])/16 - 17*t[10] - (85*t[11])/96 - (139*t[12])/24 - 
       (215*t[13])/144 - (3269*t[14])/288 - (49*t[15])/216 - 2*t[28] - 
       (19*t[29])/12 - (4*t[30])/3 + (2*t[31])/3 + 2*t[32] - (3*t[33])/2 - 
       (13*t[34])/6 + 2*t[35] + 4*t[36] + (7*t[38])/6 - t[39]/3 + 
       (7*t[40])/3 - t[41]/2 + t[42]/2 + (4*t[43])/3 + (103*t[44])/12 + 
       (35*t[45])/6 - t[46]/2 - (31*t[47])/6 - (245*t[48])/96 - 
       (103*t[49])/12 + (305*t[50])/32 + (59*t[51])/12 - (1139*t[52])/96 + 
       (79*t[53])/12 + (181*t[54])/96 - (2*t[59])/3 + (299*t[60])/48 + 
       (213*t[61])/16 + (1363*t[62])/96 - (33*t[63])/32 - (1357*t[64])/96 + 
       (2837*t[65])/144 + (75*t[66])/16 + 2*t[72] + 4*t[75] - (77*t[76])/6 - 
       (23*t[77])/6 + (55*t[78])/3 - 6*t[79] - t[80] - (14*t[81])/3 + 
       (19*t[82])/6 - (15*t[83])/2 + (781*t[84])/48 + (293*t[85])/48 + 
       (22*t[86])/3 + (223*t[87])/16 + (287*t[88])/32 + (953*t[89])/96 - 
       2*t[95] - 3*t[96] - (17*t[97])/6 - 40*t[98] + 35*t[99] + 
       (57*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*((25*t[1])/12 - (5*t[2])/3 - (7*t[3])/48 + 
       (61*t[4])/24 + (281*t[5])/32 + 2*t[6] - (235*t[7])/48 + 
       (739*t[8])/48 - (2879*t[9])/96 + (65*t[10])/16 + (247*t[11])/48 - 
       (727*t[12])/96 + (41*t[13])/54 - (299*t[14])/32 + (2299*t[15])/192 + 
       t[22]/2 + t[25] + t[26]/2 + (2*t[27])/3 - (4*t[28])/3 - (2*t[29])/3 + 
       (5*t[30])/3 - (2*t[32])/3 + (2*t[33])/3 - (43*t[34])/6 - 4*t[35] + 
       t[37] + (2*t[38])/3 - (4*t[39])/3 + (13*t[40])/6 + (2*t[41])/3 - 
       (2*t[42])/3 + (97*t[43])/24 + (8*t[44])/3 + (19*t[45])/6 + 3*t[46] - 
       (15*t[47])/2 + (35*t[48])/12 - (53*t[49])/12 - t[50]/4 + 
       (13*t[51])/8 - (9*t[52])/4 + (53*t[53])/12 - (3*t[54])/4 + t[58]/2 + 
       (5*t[59])/8 + (67*t[60])/96 - (4039*t[61])/96 - (1723*t[62])/192 - 
       (11653*t[63])/192 - (797*t[64])/64 + (10715*t[65])/288 + 
       (9415*t[66])/288 - t[67]/4 - (3*t[68])/4 - t[70] + t[71] + 4*t[73] + 
       (9*t[74])/2 + (3*t[75])/2 - (59*t[76])/6 + (9*t[77])/4 + 
       (19*t[78])/12 - (25*t[79])/4 + (61*t[80])/3 - (23*t[81])/4 + t[82]/2 - 
       17*t[83] + (171*t[84])/32 - (1027*t[85])/96 + (165*t[86])/4 + 
       (1379*t[87])/96 + (1379*t[88])/192 + (1315*t[89])/64 - t[91]/24 - 
       t[92]/4 + t[93]/2 + t[94]/4 - (19*t[97])/12 - 40*t[98] + 35*t[99] + 
       (57*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*((-5*t[1])/2 + (251*t[2])/8 - (29*t[3])/8 - 
       (151*t[4])/8 - (75*t[5])/16 - (145*t[6])/8 - (27*t[7])/4 + 
       (201*t[8])/4 + (145*t[9])/16 - (719*t[10])/16 + 10*t[11] + 
       (75*t[12])/8 - (691*t[13])/72 - (2107*t[14])/96 - (1145*t[15])/96 - 
       4*t[19] - 3*t[21] - 2*t[23] + 3*t[24] - (15*t[31])/2 - 10*t[35] + 
       (5*t[37])/2 + (19*t[41])/4 - 6*t[42] + (47*t[43])/4 - (9*t[44])/2 - 
       (37*t[45])/4 + (55*t[47])/2 + (143*t[48])/8 - (61*t[49])/16 - 
       (17*t[50])/8 + (109*t[51])/32 + (17*t[52])/8 + (61*t[53])/16 + 
       (33*t[54])/4 - (17*t[59])/4 - (185*t[60])/4 - (67*t[61])/2 + 
       (9*t[62])/8 - (553*t[63])/8 + (613*t[64])/4 + (140*t[65])/3 + 
       (147*t[66])/4 - 16*t[69] + 8*t[70] - 8*t[71] - 6*t[73] + 
       (25*t[74])/2 + (9*t[75])/2 - 6*t[76] + 6*t[78] - 2*t[79] + 46*t[80] - 
       (17*t[81])/2 + (17*t[82])/2 + (23*t[83])/2 - 4*t[84] - (65*t[85])/4 + 
       (155*t[86])/2 + (197*t[87])/4 + (197*t[88])/8 + (249*t[89])/8 - 
       36*t[98] + 42*t[99] + (59*t[100])/2) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*((21*t[1])/16 + (45*t[2])/16 + (171*t[3])/32 - 
       (801*t[4])/32 + (973*t[5])/32 + (353*t[6])/64 - (203*t[7])/8 + 
       (661*t[8])/16 - (133*t[9])/4 - (1897*t[10])/64 - (1545*t[11])/64 - 
       (1087*t[12])/64 - (3251*t[13])/288 - (18275*t[14])/384 - 
       (485*t[15])/96 - (5*t[16])/8 + (7*t[17])/8 - 2*t[19] - (9*t[20])/2 + 
       5*t[21] + t[22]/2 - (9*t[23])/2 + 5*t[24] - (3*t[25])/2 - 
       (9*t[26])/2 + t[27]/2 + (9*t[28])/2 + (19*t[29])/8 + (3*t[30])/4 - 
       (9*t[31])/2 - (15*t[32])/4 + 5*t[33] - (33*t[34])/8 - 10*t[35] - 
       t[36]/4 + (3*t[37])/2 + (7*t[38])/2 - 2*t[39] + (47*t[40])/8 + 
       (39*t[41])/16 - (43*t[42])/16 + t[43]/8 - (119*t[44])/16 + 
       (47*t[45])/8 + (11*t[46])/4 + (27*t[47])/8 + (783*t[48])/64 - 
       (207*t[49])/64 - (789*t[50])/64 - (15*t[51])/128 + (221*t[52])/64 + 
       (255*t[53])/64 + (1075*t[54])/64 + (3*t[57])/2 - (13*t[59])/8 - 
       (923*t[60])/16 - (743*t[61])/16 + (507*t[62])/32 - (879*t[63])/32 + 
       (3739*t[64])/32 + (919*t[65])/24 + (1141*t[66])/12 + t[67]/8 - 
       (9*t[69])/2 + t[70]/2 - t[71]/2 - 7*t[72] + 2*t[73] + (53*t[74])/4 + 
       (5*t[75])/2 - t[76]/2 - t[77]/2 - t[78]/2 + (11*t[79])/2 + 
       (71*t[80])/4 - (91*t[81])/8 + (17*t[82])/2 - (43*t[83])/4 - 
       (39*t[84])/8 - (219*t[85])/16 + 40*t[86] + (667*t[87])/16 + 
       (667*t[88])/32 + (289*t[89])/32 - t[92]/4 - t[93] - t[94]/4 - 
       t[97]/2 + 6*t[98] - 20*t[99] + (119*t[100])/4) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((7*t[1])/8 - (25*t[2])/4 - 
       (379*t[3])/32 + (341*t[4])/32 - (1235*t[5])/64 - (175*t[6])/32 - 
       (107*t[7])/4 + (137*t[8])/16 + (425*t[9])/64 + (1247*t[10])/64 - 
       (181*t[11])/16 - (95*t[12])/32 + (451*t[13])/48 - (6233*t[14])/384 - 
       (12271*t[15])/1152 - t[17]/8 - (13*t[20])/2 - t[21]/2 + (9*t[22])/2 - 
       t[23]/2 + (11*t[24])/4 + (11*t[27])/4 + 4*t[28] + t[29] + 
       (17*t[30])/8 - (5*t[31])/2 - (3*t[32])/2 + (9*t[33])/8 - 5*t[34] - 
       (9*t[35])/2 - 4*t[36] + (11*t[38])/8 + (9*t[39])/4 + (3*t[40])/8 + 
       (3*t[41])/4 - (3*t[42])/4 - (135*t[43])/32 + (49*t[44])/4 + 
       (59*t[45])/8 + (7*t[46])/8 + (11*t[47])/4 + (257*t[48])/32 - 
       (627*t[49])/64 - (191*t[50])/32 + (707*t[51])/128 + (111*t[52])/32 + 
       (659*t[53])/64 + (61*t[54])/4 + (3*t[55])/8 + t[56]/4 + t[57]/2 + 
       (23*t[59])/16 + (261*t[60])/32 - (181*t[61])/32 - (37*t[62])/64 - 
       (2987*t[63])/64 + (1243*t[64])/64 + (959*t[65])/96 - (997*t[66])/32 - 
       t[67]/8 - (5*t[68])/4 - (9*t[69])/2 - t[72]/2 + 10*t[73] + 10*t[74] - 
       (9*t[75])/2 + (13*t[76])/4 + (21*t[77])/4 + (87*t[78])/8 + 3*t[79] - 
       (21*t[80])/2 - 6*t[81] - (23*t[82])/8 - (65*t[83])/4 + 
       (317*t[84])/32 - (305*t[85])/32 - (253*t[86])/8 + (857*t[87])/32 + 
       (985*t[88])/64 + (921*t[89])/64 - t[91]/24 - t[93]/2 - t[95]/2 + 
       t[96]/4 - t[97]/8 + 6*t[98] - 20*t[99] + (119*t[100])/4) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*(-199*t[60] - 7*t[61] - 
       (157*t[62])/2 + (601*t[63])/2 + (291*t[64])/2 - (116*t[65])/3 + 
       (59*t[66])/3 - 4*t[69] + 20*t[70] - 20*t[71] + 102*t[79] - 8*t[80] - 
       50*t[81] + 50*t[82] + 12*t[83] + t[84] - 172*t[85] - 26*t[86] + 
       194*t[87] + 97*t[88] + (23*t[89])/2 + 30*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((-2*t[1])/3 - (97*t[2])/12 - (41*t[3])/6 - (119*t[5])/6 - 
       (241*t[6])/24 + (113*t[7])/4 - (199*t[8])/12 + (31*t[9])/2 - 
       (5*t[10])/4 + (143*t[11])/24 + (25*t[12])/12 - (161*t[13])/24 - 
       (23*t[14])/72 + (13*t[15])/108 - 3*t[28] - (17*t[29])/6 + 
       (13*t[30])/6 + (11*t[31])/3 + (5*t[32])/2 - (5*t[33])/2 - 
       (2*t[34])/3 + 6*t[35] + 4*t[36] + 3*t[37] + (2*t[38])/3 + t[39]/6 + 
       (5*t[40])/6 + t[41]/2 - t[42]/2 + (17*t[43])/6 + (28*t[44])/3 + 
       (7*t[45])/3 - (2*t[47])/3 - (101*t[48])/24 - (29*t[49])/6 + 
       (93*t[50])/8 + (35*t[51])/12 - (311*t[52])/24 + (29*t[53])/6 - 
       (59*t[54])/24 - t[59]/6 - (85*t[60])/12 + (45*t[61])/4 - t[62]/12 + 
       (119*t[63])/4 + (161*t[64])/24 + (623*t[65])/36 + (293*t[66])/12 + 
       2*t[69] - 2*t[72] + 7*t[75] - (19*t[76])/3 - (7*t[77])/3 + 
       (46*t[78])/3 - 12*t[79] + t[80] - t[81]/6 - (11*t[82])/6 - 4*t[83] + 
       (23*t[84])/6 - (19*t[85])/12 - (8*t[86])/3 + (59*t[87])/4 + 
       (59*t[88])/8 + (263*t[89])/24 - t[97]/3 - 28*t[98] + 28*t[99] + 
       30*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*(-t[3]/2 - 2*t[4] + (3*t[5])/4 + t[6] + t[7]/2 + 
       (3*t[8])/2 + (9*t[9])/4 + (7*t[10])/2 + t[11]/2 + (17*t[12])/4 + 
       t[13]/2 - (5*t[14])/4 + t[15]/24 + t[22] + 2*t[29] + 8*t[60] - 
       3*t[61] - 2*t[62] + 2*t[64] - (13*t[65])/3 - t[66] + t[82] - 4*t[83] - 
       4*t[87] - 2*t[88] + (61*t[100])/2) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*(-t[1] + (65*t[2])/12 + (15*t[3])/8 + 
       (67*t[4])/4 - (15*t[5])/16 + (39*t[6])/8 - (1505*t[7])/48 - 
       (101*t[8])/48 - (61*t[9])/24 + (487*t[10])/48 - (157*t[11])/16 + 
       (55*t[12])/48 + (12391*t[13])/864 - (1025*t[14])/144 - 
       (295*t[15])/24 + (5*t[17])/12 - (2*t[21])/3 - t[22]/6 + t[23]/3 - 
       (4*t[24])/3 + (3*t[31])/2 - (8*t[34])/3 + (19*t[35])/2 - (7*t[37])/2 - 
       t[38]/2 - (19*t[41])/12 + (11*t[42])/12 - (65*t[43])/16 - 6*t[44] + 
       (17*t[45])/8 - (77*t[46])/12 + (61*t[47])/12 - (193*t[48])/48 + 
       (13*t[49])/12 - (11*t[50])/16 - (23*t[51])/16 + (51*t[52])/16 - 
       (13*t[53])/12 - (187*t[54])/48 - t[58]/2 - (5*t[59])/6 - 
       (475*t[60])/24 - (805*t[61])/8 + (1211*t[62])/24 + (529*t[63])/24 - 
       (525*t[64])/16 - (733*t[65])/72 + (629*t[66])/6 + (3*t[67])/4 + 
       t[69]/2 - 2*t[70] + 2*t[71] + (31*t[74])/6 + 2*t[75] - (7*t[76])/3 + 
       (5*t[78])/3 + (37*t[79])/2 - (107*t[80])/6 - (13*t[81])/12 + 
       (53*t[82])/12 - (45*t[83])/4 - (17*t[84])/24 - (49*t[85])/12 - 
       (119*t[86])/6 - (22*t[87])/3 - (11*t[88])/3 - (107*t[89])/16 - 
       t[92]/6 - (2*t[94])/3 - 8*t[98] + 2*t[99] + (123*t[100])/4) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*(t[1]/2 - (3*t[2])/4 - 
       (913*t[3])/48 + (551*t[4])/24 + (365*t[5])/48 + (373*t[6])/24 - 
       (103*t[7])/2 + 15*t[8] - (377*t[9])/48 + (1009*t[10])/48 + 
       (55*t[11])/24 - (77*t[12])/12 + (847*t[13])/72 + (667*t[14])/32 + 
       (4313*t[15])/432 - t[23] + 8*t[28] + (5*t[29])/12 + (5*t[32])/12 + 
       (10*t[33])/3 - (16*t[34])/3 - 5*t[35] - 6*t[36] + t[39] - 3*t[40] + 
       t[41]/4 - t[42]/4 - 3*t[43] - (407*t[44])/24 + (19*t[45])/6 - 
       (19*t[47])/6 + (349*t[48])/24 + (197*t[49])/48 - (67*t[50])/8 - 
       (197*t[51])/96 + (99*t[52])/8 - (197*t[53])/48 + (23*t[54])/8 + 
       t[59]/3 + (23*t[60])/3 + (64*t[61])/3 + (597*t[62])/16 - 
       (1349*t[63])/48 - (527*t[64])/8 - 18*t[65] - (122*t[66])/9 + 
       (2*t[70])/3 - (2*t[71])/3 + (23*t[74])/6 + 7*t[75] - (5*t[76])/6 + 
       (13*t[77])/2 + (14*t[78])/3 - 5*t[79] - (41*t[80])/3 + (79*t[81])/12 - 
       (107*t[82])/12 - 12*t[83] - (3*t[84])/4 - (49*t[85])/8 - 77*t[86] - 
       (577*t[87])/24 - (163*t[88])/16 + (503*t[89])/48 + t[95]/3 + t[96]/3 + 
       t[97] - 8*t[98] + 2*t[99] + (123*t[100])/4) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*((4*t[1])/3 - (14*t[2])/3 + 
       (17*t[3])/12 + (79*t[4])/24 + (379*t[5])/16 - (61*t[6])/8 - 
       (449*t[7])/24 + (281*t[8])/24 - (2923*t[9])/48 + (315*t[10])/16 + 
       (329*t[11])/24 - (131*t[12])/12 + (1855*t[13])/108 - (3005*t[14])/96 + 
       (1775*t[15])/96 + t[22] + (8*t[27])/3 - (41*t[28])/6 - (8*t[29])/3 + 
       (17*t[30])/3 + t[31]/2 - (8*t[32])/3 + (8*t[33])/3 - (32*t[34])/3 - 
       4*t[35] + (8*t[38])/3 - (19*t[39])/3 + (20*t[40])/3 + t[41]/6 - 
       t[42]/6 + (23*t[43])/12 + (25*t[44])/6 + (14*t[45])/3 + (7*t[46])/4 - 
       t[47]/2 - (85*t[48])/12 - (215*t[49])/48 + (5*t[50])/4 + 
       (119*t[51])/32 - (37*t[52])/4 + (215*t[53])/48 - (67*t[54])/8 - 
       t[59]/2 - (95*t[60])/6 - (98*t[61])/3 + (275*t[62])/12 - 
       (427*t[63])/12 + (117*t[64])/4 + (115*t[65])/36 + (419*t[66])/36 - 
       (28*t[76])/3 - 3*t[77] + (16*t[78])/3 - (5*t[80])/3 - 4*t[81] + 
       (9*t[82])/2 + 2*t[84] - (26*t[85])/3 + 3*t[86] + (58*t[87])/3 + 
       (29*t[88])/3 + (17*t[89])/2 - (4*t[97])/3 - 76*t[98] + 76*t[99] + 
       31*t[100]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
      ((4*t[1])/3 - (19*t[2])/12 - (173*t[3])/24 + (147*t[4])/8 - 
       (145*t[5])/12 - (257*t[6])/48 + 15*t[7] - (49*t[8])/12 - (3*t[9])/2 - 
       (123*t[10])/16 + (673*t[11])/48 - (383*t[12])/48 + (1519*t[13])/144 - 
       (1355*t[14])/288 + (341*t[15])/54 - t[28]/2 - (5*t[29])/6 + 
       (8*t[30])/3 + (19*t[31])/6 + (3*t[32])/2 - (3*t[33])/2 - 
       (23*t[34])/3 - t[35]/2 + (7*t[36])/2 + (8*t[38])/3 + (5*t[39])/3 + 
       (7*t[40])/3 + (25*t[43])/12 + (41*t[44])/6 + (28*t[45])/3 - t[46]/4 - 
       (20*t[47])/3 + (53*t[48])/48 - (391*t[49])/48 + (179*t[50])/16 + 
       (565*t[51])/96 - (793*t[52])/48 + (391*t[53])/48 - (7*t[54])/48 + 
       (5*t[59])/6 + (97*t[60])/24 + (433*t[61])/8 + (119*t[62])/3 + 
       (37*t[63])/4 - (1973*t[64])/48 + (1681*t[65])/72 + (167*t[66])/24 - 
       t[72] + (3*t[74])/2 + 12*t[75] - (46*t[76])/3 - (11*t[77])/6 + 
       (88*t[78])/3 - 16*t[79] - 2*t[80] - (17*t[81])/12 - (19*t[82])/12 - 
       19*t[83] + (37*t[84])/3 - (179*t[85])/24 - (143*t[86])/3 + 
       (129*t[87])/8 + (129*t[88])/16 + (889*t[89])/48 - (4*t[97])/3 - 
       76*t[98] + 76*t[99] + 31*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - v]*((3*t[1])/2 + (131*t[2])/8 + (33*t[3])/4 + 
       (121*t[4])/8 - (377*t[5])/16 + (137*t[6])/4 - (57*t[7])/4 + 
       (169*t[8])/4 + (295*t[9])/16 + (233*t[10])/16 - (55*t[11])/2 - 
       5*t[12] - (97*t[13])/48 + (351*t[14])/32 - (3259*t[15])/288 + t[18] + 
       3*t[22] + (9*t[28])/2 - (5*t[29])/2 + (9*t[30])/2 - (39*t[32])/2 + 
       (35*t[33])/2 + 4*t[34] - 19*t[35] - (3*t[36])/2 - (3*t[37])/2 - 
       (3*t[41])/4 + (3*t[42])/4 - (9*t[43])/4 + (25*t[44])/2 - (3*t[47])/2 + 
       (117*t[48])/8 + (23*t[49])/16 - (105*t[50])/8 - (23*t[51])/32 + 
       (105*t[52])/8 - (23*t[53])/16 + (133*t[54])/4 - (13*t[59])/4 + 
       (119*t[60])/4 + (25*t[61])/2 + (55*t[62])/16 - (947*t[63])/16 - 
       38*t[64] + (155*t[65])/12 + (151*t[66])/4 - 13*t[69] + 8*t[70] - 
       8*t[71] + 9*t[74] + (23*t[75])/2 - 3*t[76] + (3*t[77])/2 + 
       (15*t[78])/2 - 4*t[79] - (15*t[80])/2 - (11*t[81])/4 + (11*t[82])/4 - 
       17*t[83] + (81*t[84])/8 + 3*t[85] + 7*t[86] + (35*t[87])/4 + 
       (35*t[88])/8 + (63*t[89])/2 - 36*t[98] + 42*t[99] + (63*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-61*t[60])/96 - (2113*t[61])/96 - (1103*t[62])/192 + 
       (6547*t[63])/192 + (89*t[64])/64 + (9469*t[65])/288 + (871*t[66])/24 - 
       t[69]/2 - (4*t[72])/3 + 2*t[73] - (5*t[74])/2 + (15*t[75])/2 + 
       2*t[76] + 2*t[78] + (145*t[79])/48 - 2*t[80] - t[81]/3 - t[82]/12 - 
       (95*t[83])/12 + (1019*t[84])/96 + (287*t[85])/96 + (319*t[86])/48 - 
       (183*t[87])/32 - (55*t[88])/64 + (2623*t[89])/192 + 20*t[98] - 
       20*t[99] + (383*t[100])/12) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((-667*t[1])/72 - (91*t[2])/8 - 
       (1651*t[3])/48 + (185*t[4])/3 - (1839*t[5])/32 - (583*t[6])/48 - 
       (791*t[7])/24 + (901*t[8])/24 + (4991*t[9])/96 + (3769*t[10])/48 + 
       (2227*t[11])/48 + (5195*t[12])/96 + (9359*t[13])/288 + 
       (1753*t[14])/48 - (8645*t[15])/576 + t[18]/6 - 2*t[19] + 7*t[21] + 
       (41*t[22])/6 - (37*t[23])/6 + 10*t[25] - (91*t[26])/12 + 3*t[27] + 
       t[31] - (5*t[32])/6 - (5*t[33])/6 + t[34]/4 - 12*t[35] + 2*t[37] - 
       2*t[38] + (5*t[39])/6 - (7*t[40])/6 + (33*t[41])/8 - (97*t[42])/24 - 
       (601*t[43])/48 - t[44] - (87*t[45])/8 - 4*t[46] + (311*t[47])/12 - 
       (127*t[48])/24 + (637*t[49])/48 - (143*t[50])/24 - (1181*t[51])/96 + 
       (193*t[52])/24 - (637*t[53])/48 - (139*t[54])/12 + (5*t[58])/12 - 
       (791*t[59])/72 - (161*t[60])/8 - (79*t[61])/6 + (147*t[62])/8 - 
       (5033*t[63])/24 - (1627*t[64])/12 + (1367*t[65])/72 - (773*t[66])/24 - 
       t[68]/2 - t[69] - (5*t[70])/2 + (5*t[71])/2 + (15*t[72])/2 - 4*t[73] - 
       (11*t[74])/2 + (3*t[75])/2 - (323*t[76])/12 - (8*t[77])/3 - 
       (34*t[78])/3 + (3*t[79])/2 + (4*t[80])/3 - (33*t[81])/4 + 
       (31*t[82])/3 + (551*t[83])/12 - (317*t[84])/12 - (239*t[85])/12 - 
       (1303*t[86])/12 + (91*t[87])/2 + (91*t[88])/4 - (1051*t[89])/48 - 
       (53*t[97])/12 - 160*t[98] + 169*t[99] + (65*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-11*t[1])/6 + (85*t[2])/12 - (151*t[3])/12 - (397*t[4])/24 - 
       (445*t[5])/24 + (5209*t[6])/96 - (509*t[7])/24 + (2203*t[8])/24 + 
       (727*t[9])/48 - (403*t[10])/16 - (865*t[11])/96 + (1091*t[12])/48 + 
       (728*t[13])/27 + (907*t[14])/36 + (6349*t[15])/864 + 8*t[19] - 
       7*t[20] + 2*t[22] - (2*t[23])/3 - t[28] + (41*t[29])/3 + 
       (121*t[30])/12 + t[31]/2 - (25*t[32])/12 + (37*t[33])/12 - 
       (3*t[34])/2 - 12*t[35] + 16*t[36] - 6*t[37] - (5*t[38])/12 + 
       (7*t[39])/4 - (4*t[40])/3 + (43*t[41])/12 - (43*t[42])/12 + t[43]/2 - 
       (461*t[44])/24 - (5*t[47])/6 + (4523*t[48])/96 - (1331*t[49])/48 - 
       (1381*t[50])/96 + (229*t[51])/32 + (487*t[52])/32 + (417*t[53])/16 + 
       (4741*t[54])/96 - (7*t[59])/12 - (2417*t[60])/48 - (487*t[61])/48 + 
       (1101*t[62])/32 - (2111*t[63])/96 + (1175*t[64])/32 + 
       (1325*t[65])/16 + (4201*t[66])/144 - 3*t[68] - 7*t[69] + (3*t[72])/2 + 
       13*t[73] + 2*t[74] + 28*t[75] - (5*t[76])/6 - (7*t[77])/3 + 
       (13*t[78])/2 + (9*t[79])/2 + (25*t[80])/3 + (10*t[81])/3 + 
       (53*t[82])/6 + 10*t[83] + (455*t[84])/48 + (47*t[85])/48 - 
       (9*t[86])/2 + (505*t[87])/16 + (521*t[88])/32 + (1897*t[89])/96 - 
       (11*t[96])/2 - (11*t[97])/3 - 160*t[98] + 169*t[99] + (65*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((13*t[1])/12 - (11*t[2])/4 - (47*t[3])/64 + (35*t[4])/32 + 
       (4313*t[5])/384 - (185*t[6])/96 - (4225*t[7])/192 + (2429*t[8])/192 - 
       (4439*t[9])/128 + (3641*t[10])/192 - (2449*t[11])/192 - 
       (2813*t[12])/384 - (103*t[13])/27 - (6323*t[14])/384 + 
       (9193*t[15])/768 + (41*t[22])/24 + (4*t[27])/3 - t[28] - (4*t[29])/3 + 
       (47*t[30])/12 - (5*t[31])/3 - (7*t[32])/3 + (4*t[33])/3 - 
       (16*t[34])/3 - (29*t[35])/6 + (5*t[37])/6 + (4*t[38])/3 - 
       (11*t[39])/6 + (10*t[40])/3 + (25*t[41])/48 - (25*t[42])/48 - 
       (11*t[43])/96 - t[44]/2 + (35*t[45])/48 + (5*t[46])/12 - 
       (43*t[47])/24 - (31*t[48])/32 - (59*t[49])/24 + (9*t[50])/32 + 
       (49*t[51])/24 - (137*t[52])/32 + (59*t[53])/24 - (33*t[54])/32 + 
       (49*t[59])/48 - (677*t[60])/48 - (1591*t[61])/48 + (3941*t[62])/96 - 
       (449*t[63])/96 - (85*t[64])/32 - (1333*t[65])/288 + 
       (14233*t[66])/288 + (5*t[69])/6 - (41*t[73])/12 + (5*t[74])/3 + 
       (41*t[75])/12 - (14*t[76])/3 - (19*t[77])/24 + (8*t[78])/3 - 
       (23*t[80])/3 - (109*t[81])/24 + (15*t[82])/4 + 3*t[83] - (5*t[84])/4 - 
       (575*t[85])/48 - (205*t[86])/12 + (835*t[87])/48 + (835*t[88])/96 + 
       (215*t[89])/96 - (2*t[97])/3 - 32*t[98] + 32*t[99] + (131*t[100])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v]*
      (t[1] + (41*t[2])/8 - 11*t[3] + 5*t[4] + (203*t[5])/16 - 
       (135*t[6])/16 + (109*t[7])/4 + (17*t[8])/4 + (77*t[9])/16 + 3*t[10] + 
       (381*t[11])/16 + (131*t[12])/16 + (22*t[13])/9 + (937*t[14])/24 + 
       (6389*t[15])/288 + 6*t[20] - 6*t[22] - 6*t[28] - (51*t[29])/8 + 
       (55*t[30])/4 - 3*t[31] + (13*t[32])/4 - (15*t[33])/4 - 2*t[34] - 
       9*t[35] + (15*t[36])/2 - 3*t[37] + t[38]/2 + t[39]/4 + t[40]/4 - 
       t[41] + t[42] - (3*t[43])/2 + (5*t[44])/4 - 2*t[47] - (145*t[48])/16 - 
       (7*t[49])/4 + (319*t[50])/16 + (3*t[51])/8 - (335*t[52])/16 + 
       (15*t[53])/4 - (183*t[54])/16 - t[59] + (339*t[60])/8 + 
       (681*t[61])/8 + (159*t[62])/8 - (35*t[63])/4 - (2531*t[64])/16 - 
       (161*t[65])/6 - (111*t[66])/8 + 6*t[69] + 3*t[73] + 2*t[74] - 
       (7*t[76])/2 - (7*t[77])/2 + 16*t[78] - (39*t[79])/2 + t[80]/2 + 
       11*t[81] - 6*t[82] + (15*t[83])/2 + (77*t[84])/8 - (175*t[85])/8 - 
       51*t[86] - (121*t[87])/8 - (161*t[88])/16 - (587*t[89])/16 - 4*t[95] - 
       (3*t[96])/2 - t[97] - 78*t[98] + 66*t[99] + 33*t[100]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*((2*t[1])/3 - (4*t[2])/3 - 
       (17*t[3])/48 - t[4]/24 + (659*t[5])/32 + (15*t[6])/8 - (179*t[7])/48 + 
       (1235*t[8])/48 - (4057*t[9])/96 + (137*t[10])/16 + (701*t[11])/48 - 
       (917*t[12])/96 + (6419*t[13])/432 - (1775*t[14])/96 + 
       (8975*t[15])/576 + (3*t[22])/2 + (4*t[27])/3 - (20*t[28])/3 - 
       (4*t[29])/3 + (19*t[30])/3 - (10*t[32])/3 + (4*t[33])/3 - 
       (16*t[34])/3 - 6*t[35] + (4*t[38])/3 - (14*t[39])/3 + (10*t[40])/3 + 
       (7*t[41])/12 - (7*t[42])/12 + (23*t[43])/6 + (4*t[44])/3 + 
       (7*t[45])/12 + (3*t[46])/2 + (7*t[47])/2 - (71*t[48])/12 - 
       (31*t[49])/12 + (3*t[50])/4 + 2*t[51] - (19*t[52])/4 + (31*t[53])/12 - 
       (17*t[54])/4 + t[59]/4 - (35*t[60])/3 - (101*t[61])/6 + 
       (41*t[62])/24 - (577*t[63])/24 + (367*t[64])/8 + (43*t[65])/72 - 
       (187*t[66])/72 - (14*t[76])/3 + (3*t[77])/2 + (8*t[78])/3 + 
       (85*t[80])/6 - 2*t[81] + (15*t[82])/4 + t[84] - (13*t[85])/3 + 
       (53*t[86])/2 + (29*t[87])/3 + (29*t[88])/6 + (3*t[89])/2 - 
       (2*t[97])/3 - 50*t[98] + 52*t[99] + (69*t[100])/2) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*(-t[1]/3 - (7*t[2])/6 - 
       (569*t[3])/48 + (15*t[4])/2 - (149*t[5])/12 - (557*t[6])/96 + 
       (51*t[7])/2 - (215*t[8])/12 + (149*t[9])/16 - (17*t[10])/2 + 
       (1261*t[11])/96 + (7*t[12])/6 + (731*t[13])/144 + (149*t[14])/288 + 
       (245*t[15])/27 - (47*t[29])/12 - (11*t[30])/3 + (10*t[31])/3 + 
       t[32]/2 - t[33]/2 - (17*t[34])/6 + 3*t[36] + 2*t[37] + (4*t[38])/3 + 
       (5*t[39])/6 + (7*t[40])/6 + (5*t[43])/3 + (61*t[44])/6 + 
       (14*t[45])/3 - (10*t[47])/3 - (235*t[48])/96 - (83*t[49])/12 + 
       (415*t[50])/32 + (107*t[51])/24 - (1501*t[52])/96 + (83*t[53])/12 - 
       (301*t[54])/96 + (11*t[59])/12 - (383*t[60])/48 + (499*t[61])/16 + 
       (3377*t[62])/96 + (373*t[63])/32 - (6635*t[64])/96 + 
       (5047*t[65])/144 + (859*t[66])/48 + t[69] - 2*t[72] + 3*t[74] + 
       9*t[75] - (29*t[76])/3 - (2*t[77])/3 + (68*t[78])/3 - (35*t[79])/2 - 
       4*t[80] - (11*t[81])/6 - (5*t[82])/3 - (13*t[83])/2 + (443*t[84])/48 + 
       (43*t[85])/48 - (209*t[86])/6 + (297*t[87])/16 + (297*t[88])/32 + 
       (883*t[89])/96 - (2*t[97])/3 - 50*t[98] + 52*t[99] + (69*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-28*t[1])/3 + (109*t[2])/6 - (703*t[3])/24 - (683*t[4])/12 - 
       (1663*t[5])/16 + (111*t[6])/4 + (3437*t[7])/24 + (427*t[8])/24 + 
       (11233*t[9])/48 + (153*t[10])/8 + (1381*t[11])/24 + (4193*t[12])/48 + 
       (866*t[13])/27 + (5731*t[14])/48 - (13871*t[15])/288 + 2*t[19] - 
       2*t[21] - 5*t[22] + 2*t[23] - (8*t[27])/3 - (8*t[28])/3 + 
       (8*t[29])/3 - (14*t[30])/3 + 20*t[31] + (26*t[32])/3 - (26*t[33])/3 + 
       (104*t[34])/3 + 36*t[35] - 12*t[37] - (26*t[38])/3 + (22*t[39])/3 - 
       (65*t[40])/3 - t[41]/6 + t[42]/6 - (221*t[43])/12 + (4*t[44])/3 - 
       (14*t[45])/3 - 8*t[46] + 39*t[47] - (227*t[48])/12 + (55*t[49])/6 + 
       (35*t[50])/4 - (19*t[51])/4 + (69*t[52])/4 - (55*t[53])/6 + 
       (65*t[54])/4 - 8*t[59] + (323*t[60])/6 + (1369*t[61])/6 - 
       (1729*t[62])/6 + (749*t[63])/6 - (17*t[64])/2 + (3467*t[65])/36 - 
       (6503*t[66])/36 - 8*t[69] - 20*t[74] + (91*t[76])/3 + 5*t[77] - 
       (52*t[78])/3 - (79*t[80])/3 + 17*t[81] - (17*t[82])/2 + 16*t[83] - 
       (31*t[84])/2 + (337*t[85])/6 + 81*t[86] - (401*t[87])/6 - 
       (401*t[88])/12 - (51*t[89])/4 + (13*t[97])/3 + 244*t[98] - 244*t[99] + 
       35*t[100]) + HPL[{0, 1, 1}, 1 - u]*Omega2[u, v, w]*
      (-t[3]/2 - 2*t[4] + (3*t[5])/4 + t[6] + t[7]/2 + (3*t[8])/2 + 
       (9*t[9])/4 + (7*t[10])/2 + t[11]/2 + (17*t[12])/4 + t[13]/2 - 
       (5*t[14])/4 + t[15]/24 + t[22] + 2*t[29] + 8*t[60] - 3*t[61] - 
       2*t[62] + 2*t[64] - (13*t[65])/3 - t[66] + t[82] - 4*t[83] - 4*t[87] - 
       2*t[88] - 4*t[99] + (71*t[100])/2) + HPL[{0, 1, 1}, 1 - v]*
      Omega2[u, v, w]*(-t[3]/2 - 2*t[4] - t[5] - (7*t[6])/4 + 5*t[7] + 
       3*t[8] + t[9]/2 - 4*t[10] - (9*t[11])/4 + t[12] - t[13]/2 - 
       (59*t[14])/12 + (11*t[15])/6 + t[39] - t[40] + t[44] + (3*t[48])/4 - 
       2*t[49] + (3*t[50])/4 + (3*t[51])/2 - (3*t[52])/4 + 2*t[53] + 
       (9*t[54])/4 - (67*t[60])/4 - (121*t[61])/4 - (11*t[62])/4 - 
       (49*t[63])/4 + (641*t[64])/8 + (40*t[65])/3 + (527*t[66])/12 - 
       2*t[69] - t[72] + 2*t[75] - t[77]/2 + 4*t[79] + 2*t[80] - t[81] + 
       5*t[82] - 13*t[83] - (9*t[84])/2 - 3*t[85] + 8*t[86] + 13*t[87] + 
       (13*t[88])/2 + (101*t[89])/8 - 4*t[99] + (71*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      (5*t[1] + (4*t[2])/3 + (74*t[3])/3 - (159*t[4])/4 + (293*t[5])/6 - 
       34*t[6] - (93*t[7])/8 - (1163*t[8])/24 - (827*t[9])/8 + 
       (497*t[10])/12 - (2693*t[11])/24 - (1411*t[12])/24 - 
       (45059*t[13])/432 - (1777*t[14])/48 + (1805*t[15])/48 - t[17]/2 + 
       (8*t[18])/9 - 6*t[19] + (25*t[21])/3 - (2*t[22])/3 - 10*t[23] + 
       (7*t[24])/3 + t[31] - (8*t[34])/3 - 35*t[35] + 17*t[37] - t[38] - 
       (41*t[41])/6 + (16*t[42])/3 + (481*t[43])/24 + 14*t[44] + 
       (71*t[45])/12 + 14*t[46] - (331*t[47])/6 + (397*t[48])/24 + 
       (107*t[49])/24 - (175*t[50])/24 - (295*t[51])/48 + (223*t[52])/24 - 
       (107*t[53])/24 + (113*t[54])/24 - t[58] - (23*t[59])/3 - 
       (337*t[60])/12 - (275*t[61])/4 + (715*t[62])/6 + (467*t[63])/6 - 
       (483*t[64])/8 - (1501*t[65])/36 + (229*t[66])/3 - (5*t[67])/2 - 
       11*t[69] + t[74]/3 + 4*t[75] - (14*t[76])/3 + (10*t[78])/3 - 
       19*t[79] - (83*t[80])/3 - (7*t[81])/6 + (47*t[82])/6 - (37*t[83])/2 + 
       (43*t[84])/12 + (19*t[85])/3 - (305*t[86])/3 - (19*t[87])/6 - 
       (19*t[88])/12 - (57*t[89])/8 - t[92]/3 + (2*t[94])/3 - 16*t[98] + 
       4*t[99] + (75*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*(t[1] + (265*t[2])/12 + (31*t[3])/24 - 
       (197*t[4])/2 - (91*t[5])/3 - (35*t[6])/2 + (559*t[7])/6 + 
       (137*t[8])/2 + (157*t[9])/4 - (157*t[10])/12 - (217*t[11])/3 + 
       (27*t[12])/2 - (2689*t[13])/36 - (695*t[14])/18 - (9629*t[15])/432 - 
       9*t[20] + 8*t[22] + (10*t[23])/3 - 20*t[28] + (19*t[29])/2 - 
       (38*t[30])/3 + (95*t[32])/6 - (41*t[33])/3 + (46*t[34])/3 + 14*t[35] + 
       14*t[36] + 2*t[37] + 2*t[39] - (2*t[40])/3 + (3*t[41])/2 - 
       (3*t[42])/2 + 7*t[43] + (209*t[44])/12 - (5*t[45])/3 + (11*t[47])/3 - 
       (53*t[48])/3 - (59*t[49])/6 + (49*t[50])/6 + (59*t[51])/12 - 
       (65*t[52])/6 + (59*t[53])/6 + (295*t[54])/12 - (40*t[59])/3 - 
       (193*t[60])/12 - (1235*t[61])/12 - (1511*t[62])/12 + (35*t[63])/6 + 
       (5933*t[64])/24 + (383*t[65])/9 + (433*t[66])/6 + t[67]/6 - 7*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 - 6*t[74] - 8*t[75] - (5*t[76])/3 - 
       13*t[77] - (14*t[78])/3 + 10*t[79] + (92*t[80])/3 - (50*t[81])/3 + 
       16*t[82] + (89*t[83])/2 + (17*t[84])/6 + (56*t[85])/3 + 202*t[86] + 
       (202*t[87])/3 + (148*t[88])/3 - (25*t[89])/6 - (22*t[95])/3 - 
       (22*t[96])/3 + 2*t[97] - 16*t[98] + 4*t[99] + (75*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((209*t[1])/6 - (191*t[2])/3 + (3521*t[3])/24 - (535*t[4])/6 + 
       (3003*t[5])/16 - (1949*t[6])/24 - (3535*t[7])/24 - (865*t[8])/24 - 
       (25837*t[9])/48 + (2969*t[10])/8 - (599*t[11])/8 - (3965*t[12])/48 + 
       (83177*t[13])/432 - (30545*t[14])/48 + (5899*t[15])/32 - 13*t[18] + 
       6*t[19] - 18*t[21] + 21*t[22] + 18*t[23] - 12*t[24] - 4*t[25] + 
       7*t[26] + 34*t[27] - 39*t[28] - 36*t[29] + 30*t[30] + 18*t[31] - 
       13*t[32] + 13*t[33] - (253*t[34])/3 - 24*t[35] - 9*t[37] + 
       (52*t[38])/3 - 31*t[39] + (47*t[40])/2 - (71*t[41])/2 + (97*t[42])/3 - 
       (103*t[43])/4 + 41*t[44] - (158*t[45])/3 + (325*t[46])/6 + 
       (163*t[47])/6 - (739*t[48])/12 - (302*t[49])/3 + (1399*t[50])/12 + 
       (1243*t[51])/24 - (577*t[52])/4 + (302*t[53])/3 - (1459*t[54])/12 + 
       2*t[56] - 8*t[57] + t[58]/3 - (851*t[59])/12 - (4697*t[60])/12 - 
       (1240*t[61])/3 + (5527*t[62])/24 - (33731*t[63])/24 - 
       (5137*t[64])/12 - (826*t[65])/9 - (5444*t[66])/9 + 3*t[68] - 6*t[69] + 
       5*t[70] - 5*t[71] - 51*t[72] + 312*t[73] + (7*t[74])/3 - 375*t[75] + 
       (121*t[76])/6 + 2*t[77] - 275*t[78] + 39*t[79] + (190*t[80])/3 - 
       (187*t[81])/6 + (29*t[82])/3 + (443*t[83])/2 - (571*t[84])/3 + 
       (164*t[85])/3 - (2233*t[86])/6 + (535*t[87])/2 + (535*t[88])/4 + 
       (527*t[89])/24 - t[91] - 6*t[93] - (53*t[97])/2 + 168*t[98] - 
       282*t[99] + 39*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((17*t[1])/3 + (415*t[2])/12 - 
       (451*t[3])/3 + 120*t[4] - (809*t[5])/6 - (2053*t[6])/48 + 
       (695*t[7])/4 + (3889*t[8])/12 + (2813*t[9])/24 - 125*t[10] + 
       (12469*t[11])/48 - (141*t[12])/2 + (4313*t[13])/54 + 
       (6143*t[14])/144 + (55801*t[15])/432 + 6*t[20] - 6*t[22] + 
       (2*t[23])/3 - 6*t[27] + 6*t[28] + (145*t[29])/3 - (15*t[30])/2 + 
       27*t[31] + (427*t[32])/6 - (275*t[33])/6 - (29*t[34])/3 + 78*t[35] + 
       63*t[36] + 5*t[37] + 16*t[38] + (131*t[39])/6 + (35*t[40])/2 - 
       t[41]/6 + t[42]/6 + (41*t[43])/2 - (225*t[44])/2 + (161*t[45])/2 + 
       (3*t[46])/2 - (149*t[47])/2 + (2909*t[48])/48 - (103*t[49])/2 + 
       (5317*t[50])/48 + (351*t[51])/8 - (2039*t[52])/16 + (75*t[53])/2 - 
       (5161*t[54])/48 - (219*t[59])/4 + (9509*t[60])/24 - (1163*t[61])/24 - 
       (349*t[62])/16 - (11881*t[63])/48 - (27703*t[64])/48 - 
       (2183*t[65])/24 - (13313*t[66])/24 + 36*t[69] - 3*t[70] + 3*t[71] + 
       18*t[72] + 180*t[73] - (10*t[74])/3 - 51*t[75] - (41*t[76])/6 - 
       (155*t[77])/6 + 76*t[78] - (477*t[79])/2 - 63*t[80] - 27*t[81] - 
       70*t[82] - (441*t[83])/2 + (577*t[84])/8 + (2849*t[85])/24 - 
       185*t[86] - (4835*t[87])/24 - (4315*t[88])/48 - (341*t[89])/48 - 
       t[91] + 12*t[93] - (52*t[95])/3 - 20*t[96] - (151*t[97])/6 + 
       168*t[98] - 282*t[99] + 39*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - u]*((5*t[1])/4 + (135*t[2])/8 + (17*t[3])/8 - 
       (83*t[4])/2 + (181*t[5])/16 + (199*t[6])/16 - (175*t[7])/8 - 
       (161*t[8])/8 - (59*t[9])/2 + (147*t[10])/8 - (165*t[11])/16 + 
       (255*t[12])/16 + (395*t[13])/144 - (91*t[14])/24 + (3203*t[15])/96 - 
       t[18] + 6*t[19] - 6*t[21] + t[22]/2 + 6*t[23] - 3*t[25] - t[26]/2 + 
       3*t[28] + 3*t[30] + 12*t[31] - t[32] + t[33] + t[34]/2 + 12*t[35] - 
       12*t[37] + 3*t[38] - t[39] + 2*t[40] - (5*t[41])/4 + t[42]/4 + 
       (3*t[43])/8 - 3*t[44] - (9*t[45])/4 + (5*t[46])/2 + (7*t[47])/2 - 
       (331*t[48])/16 - (43*t[49])/4 + (109*t[50])/16 + 7*t[51] - 
       (149*t[52])/16 + (43*t[53])/4 + (235*t[54])/16 - t[58]/2 - 
       (39*t[59])/4 - (87*t[60])/2 - (271*t[61])/4 + 68*t[62] - 
       (89*t[63])/4 - (297*t[64])/4 + (311*t[65])/24 + (2837*t[66])/24 + 
       6*t[69] - 6*t[73] + (5*t[74])/2 + 3*t[75] - (11*t[76])/2 + t[77]/2 + 
       10*t[78] + (15*t[79])/2 - 21*t[80] - (11*t[81])/4 + 12*t[82] + 
       (61*t[83])/2 - (91*t[84])/4 - (11*t[85])/8 - 37*t[86] + 
       (199*t[87])/8 + (199*t[88])/16 - (41*t[89])/4 - (5*t[97])/2 - 
       78*t[98] + 66*t[99] + 39*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*(24*t[98] - 34*t[99] + 
       41*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((7*t[59])/4 - (87*t[60])/4 + (77*t[61])/4 - 
       (997*t[62])/24 - (899*t[63])/24 + (133*t[64])/12 + (1409*t[65])/18 + 
       (185*t[66])/9 - t[67]/2 - 2*t[68] - 2*t[70] + 2*t[71] + 2*t[75] + 
       2*t[76] - t[77] - (19*t[78])/2 - 5*t[79] + 13*t[80] + (17*t[82])/2 - 
       (4*t[83])/3 + (121*t[84])/6 - (113*t[85])/12 + (305*t[86])/6 + 
       (13*t[87])/12 + (13*t[88])/24 + (365*t[89])/24 - t[92]/2 + t[94]/2 + 
       t[97] + 24*t[98] - 34*t[99] + 41*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (3*t[1] + (5*t[2])/2 + (211*t[3])/8 - 14*t[4] + (85*t[5])/4 + 
       (91*t[6])/16 - (93*t[7])/2 + 26*t[8] - (171*t[9])/8 + 14*t[10] - 
       (275*t[11])/16 - (21*t[12])/4 - (271*t[13])/72 - (299*t[14])/48 - 
       (1325*t[15])/72 + (17*t[29])/2 - 6*t[31] - t[32] + t[33] + 3*t[34] - 
       6*t[36] - 8*t[37] - 2*t[38] - t[39] - 2*t[40] - 3*t[43] - 17*t[44] - 
       7*t[45] + 5*t[47] + (45*t[48])/16 + 12*t[49] - (363*t[50])/16 - 
       (15*t[51])/2 + (427*t[52])/16 - 12*t[53] + (75*t[54])/16 - t[59]/2 - 
       (125*t[60])/4 - 124*t[61] - (301*t[62])/8 - (211*t[63])/8 + 
       (693*t[64])/4 - (1069*t[65])/12 + (133*t[66])/12 - 10*t[69] - 
       6*t[72] - 26*t[74] - 20*t[75] + 35*t[76] + 3*t[77] - 17*t[78] + 
       36*t[79] - 7*t[80] - 4*t[81] - 13*t[82] + 17*t[83] - 29*t[84] - 
       9*t[85] + (147*t[86])/2 - (49*t[87])/4 - (49*t[88])/8 + 
       (115*t[89])/8 + t[91]/6 + 60*t[98] - 72*t[99] + 42*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, v, w]*
      (-40*t[60] - (104*t[61])/3 - (152*t[62])/9 - (232*t[63])/9 + 
       (412*t[64])/9 - (8*t[65])/27 - (712*t[66])/27 + 16*t[79] - 
       (16*t[81])/3 + (16*t[82])/3 + (128*t[83])/9 - (64*t[84])/9 - 
       (104*t[85])/9 + (496*t[86])/9 + (232*t[87])/9 + (116*t[88])/9 - 
       (68*t[89])/9 + (128*t[100])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Qep[w, v, u]*(-40*t[60] - 56*t[61] - (536*t[62])/9 - (520*t[63])/9 + 
       (844*t[64])/9 - (872*t[65])/27 + (1496*t[66])/27 - (64*t[74])/3 + 
       (80*t[79])/3 - (16*t[81])/3 + (16*t[82])/3 + (128*t[83])/9 - 
       (64*t[84])/9 - (104*t[85])/9 + (1168*t[86])/9 + (232*t[87])/9 + 
       (116*t[88])/9 - (68*t[89])/9 + (128*t[100])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-31*t[1])/36 + (575*t[2])/144 - (6043*t[3])/288 + (223*t[4])/36 - 
       (2089*t[5])/192 + (843*t[6])/32 - (9535*t[7])/288 + (14683*t[8])/288 + 
       (7345*t[9])/576 + (725*t[10])/48 - (3193*t[11])/144 + 
       (425*t[12])/576 + (6181*t[13])/2592 + (661*t[14])/32 + 
       (14707*t[15])/3456 - (5*t[22])/12 + (2*t[23])/3 - (5*t[27])/9 + 
       (82*t[28])/9 + (173*t[29])/36 - (19*t[30])/18 + (5*t[31])/3 - 
       t[32]/9 + (53*t[33])/18 - t[34]/9 - t[35]/3 - (9*t[36])/2 - t[37]/2 - 
       (29*t[38])/36 + (5*t[39])/18 - (29*t[40])/36 - (13*t[41])/72 + 
       (13*t[42])/72 - (319*t[43])/72 - (655*t[44])/72 + (191*t[45])/72 - 
       (9*t[46])/8 - (17*t[47])/12 + (5879*t[48])/288 + (1123*t[49])/288 - 
       (1259*t[50])/96 - (343*t[51])/192 + (505*t[52])/32 - 
       (1411*t[53])/288 + (631*t[54])/32 - (2*t[59])/3 + (65*t[60])/72 + 
       (817*t[61])/72 + (743*t[62])/18 + (1405*t[63])/144 - (227*t[64])/4 + 
       (770*t[65])/27 + (394*t[66])/27 - (5*t[69])/6 + (2*t[70])/3 - 
       (2*t[71])/3 + t[72] - (7*t[73])/12 + 3*t[74] + (91*t[75])/12 - 
       (17*t[76])/36 + (21*t[77])/4 + (137*t[78])/36 + t[79]/2 - 
       (673*t[80])/36 + (101*t[81])/24 - (43*t[82])/8 - 11*t[83] + 
       (37*t[84])/16 + (379*t[85])/72 - 62*t[86] - (439*t[87])/36 - 
       (247*t[88])/72 + (547*t[89])/24 - t[95]/3 - (13*t[96])/6 - 
       (11*t[97])/36 + (35*t[98])/6 - (83*t[99])/6 + (133*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-4*t[1])/3 + (32*t[2])/9 - (227*t[3])/12 - (7*t[4])/4 - 
       (247*t[5])/24 + (371*t[6])/48 + (203*t[7])/12 + 22*t[8] + 37*t[9] + 
       (67*t[10])/8 - (177*t[11])/16 + (11*t[12])/3 - (605*t[13])/72 + 
       (94*t[14])/9 + (473*t[15])/72 - 2*t[20] - 2*t[22] + 4*t[28] + 
       5*t[29] + (103*t[30])/6 + (4*t[31])/3 + 2*t[32] - (7*t[33])/2 + 
       (16*t[34])/3 - 4*t[35] + 2*t[37] - (2*t[38])/3 - (7*t[39])/6 + 
       t[40]/6 + (2*t[43])/3 - (4*t[44])/3 - (7*t[45])/3 + t[46] + 
       (5*t[47])/3 + (545*t[48])/48 + (41*t[49])/24 + (197*t[50])/48 - 
       (29*t[51])/48 - (133*t[52])/48 - (41*t[53])/24 + (121*t[54])/16 + 
       (17*t[59])/18 - (553*t[60])/24 - (595*t[61])/24 + (1291*t[62])/48 + 
       (103*t[63])/16 - (477*t[64])/16 + (1541*t[65])/72 + (1157*t[66])/24 - 
       2*t[69] - 6*t[72] + 10*t[73] + 12*t[75] + t[77]/3 + (46*t[78])/3 - 
       t[79] - 2*t[80] + (5*t[81])/3 + (19*t[82])/3 - 32*t[83] - 
       (79*t[84])/24 - (43*t[85])/24 - t[86]/3 + (95*t[87])/24 + 
       (223*t[88])/48 + (63*t[89])/16 + t[97]/3 + 4*t[98] - 4*t[99] + 
       (133*t[100])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((-4*t[1])/3 - (55*t[2])/12 + (7*t[3])/3 - 
       (145*t[4])/6 + (175*t[5])/8 - (11*t[6])/4 - (23*t[7])/3 - 
       (107*t[8])/6 - (841*t[9])/24 + (57*t[10])/2 - (373*t[11])/12 + 
       (67*t[12])/24 - (505*t[13])/27 - (97*t[14])/6 + (1541*t[15])/144 + 
       2*t[19] - 2*t[21] - 2*t[22] + 2*t[23] + (4*t[27])/3 - (17*t[28])/3 - 
       (4*t[29])/3 + (10*t[30])/3 + (2*t[32])/3 - (2*t[33])/3 + (8*t[34])/3 + 
       t[37] - (2*t[38])/3 - (8*t[39])/3 - (5*t[40])/3 - t[41]/6 + t[42]/6 + 
       t[43]/3 + (16*t[44])/3 + (10*t[45])/3 + (3*t[46])/2 - 9*t[47] - 
       (19*t[48])/6 - (10*t[49])/3 + (13*t[50])/2 + (13*t[51])/8 - 
       (9*t[52])/2 + (10*t[53])/3 + 4*t[54] + (5*t[59])/4 + (155*t[60])/12 + 
       (95*t[61])/12 + (1835*t[62])/24 + (51*t[63])/8 - (1541*t[64])/24 + 
       (277*t[65])/6 + (227*t[66])/2 + 2*t[69] - (44*t[72])/3 + 14*t[73] + 
       t[74] + 47*t[75] + (19*t[76])/3 - 2*t[77] + (109*t[78])/6 + 10*t[79] - 
       (58*t[80])/3 + (35*t[81])/6 + (28*t[82])/3 - (38*t[83])/3 + 
       (50*t[84])/3 - (37*t[85])/6 - 48*t[86] - (77*t[87])/2 - (77*t[88])/4 - 
       (593*t[89])/24 - 2*t[93] + (11*t[97])/6 - 32*t[98] + 32*t[99] + 
       45*t[100]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*
      ((-40*t[1])/9 + (139*t[2])/36 - (3025*t[3])/288 - (247*t[4])/12 + 
       (493*t[5])/144 + (10157*t[6])/576 + (343*t[7])/24 + (1909*t[8])/36 + 
       (395*t[9])/32 - (163*t[10])/24 - (16309*t[11])/576 + (989*t[12])/144 - 
       (21559*t[13])/864 + (30367*t[14])/1728 + (2927*t[15])/324 - 2*t[19] + 
       (11*t[29])/18 + (101*t[30])/72 - (2*t[31])/9 - (17*t[32])/24 + 
       (17*t[33])/24 + (305*t[34])/36 - (2*t[36])/3 + (25*t[37])/3 - 
       (23*t[38])/9 - (95*t[39])/36 - (43*t[40])/36 - t[41] + t[42] - 
       t[43]/9 - (199*t[44])/36 - (161*t[45])/18 + (115*t[47])/18 + 
       (4795*t[48])/576 + (377*t[49])/72 - (1007*t[50])/192 - 
       (653*t[51])/144 + (5965*t[52])/576 - (377*t[53])/72 + 
       (6781*t[54])/576 - (47*t[59])/72 - (3553*t[60])/288 - 
       (3607*t[61])/96 + (1195*t[62])/576 + (2125*t[63])/64 + 
       (2543*t[64])/576 + (17489*t[65])/864 + (23897*t[66])/288 + 
       (19*t[69])/3 - (13*t[72])/3 + (37*t[74])/6 - (2*t[75])/3 + 
       (167*t[76])/18 + (23*t[77])/18 - (58*t[78])/9 - (133*t[79])/6 + 
       (10*t[80])/3 - (61*t[81])/36 + (83*t[82])/18 + (67*t[83])/6 - 
       (3071*t[84])/288 + (2561*t[85])/288 + (571*t[86])/18 - (99*t[87])/32 - 
       (99*t[88])/64 + (1733*t[89])/576 + (23*t[97])/18 + (196*t[98])/3 - 
       (196*t[99])/3 + (137*t[100])/3) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*(-120*t[98] + 144*t[99] + 46*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*
      (12*t[59] - (19*t[60])/2 + 49*t[61] - (155*t[62])/4 + (343*t[63])/4 - 
       (207*t[64])/2 + 36*t[65] - 61*t[66] - 2*t[67] - 6*t[68] - 4*t[72] + 
       8*t[73] - 8*t[74] - 8*t[75] - 48*t[76] - 18*t[77] - 8*t[78] - 
       8*t[79] - 32*t[80] - 3*t[81] + 11*t[82] - 4*t[83] + 7*t[84] - 
       (35*t[85])/2 + 32*t[86] + (31*t[87])/2 + (31*t[88])/4 - (49*t[89])/2 - 
       t[91]/3 - 2*t[92] + 2*t[93] + 2*t[94] - 120*t[98] + 144*t[99] + 
       46*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]^2*
      (t[3] + t[5]/2 - t[7] - 3*t[8] + (3*t[9])/2 + t[10] - t[11] - t[12]/2 - 
       (37*t[14])/6 - (13*t[15])/12 + 2*t[22] + 4*t[29] + 9*t[60] + 
       (29*t[61])/2 + (9*t[62])/2 - 10*t[63] - (21*t[64])/4 - (73*t[65])/3 + 
       (13*t[66])/3 - 2*t[72] - 2*t[73] + 3*t[75] + 12*t[76] + 17*t[78] - 
       6*t[81] - 6*t[82] + 4*t[83] + t[84] - t[85] - (13*t[87])/2 - 
       (13*t[88])/4 + 5*t[89] - 16*t[99] + 47*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]^2*(-t[3] - 4*t[4] - 2*t[5] - 
       (5*t[6])/2 + 10*t[7] + 6*t[8] + 3*t[9] - 4*t[10] - (11*t[11])/2 + 
       2*t[12] - 3*t[13] - (23*t[14])/6 + (4*t[15])/3 + t[48]/2 - 4*t[49] + 
       t[50]/2 + 2*t[51] - t[52]/2 + 4*t[53] + (11*t[54])/2 - (39*t[60])/2 - 
       (81*t[61])/2 + (9*t[62])/2 - (9*t[63])/2 + (541*t[64])/4 + 
       (92*t[65])/3 + (473*t[66])/6 - 4*t[69] + 4*t[75] + 8*t[79] - 2*t[80] - 
       2*t[81] + 10*t[82] - 18*t[83] - t[85] + 2*t[86] + 11*t[87] + 
       (11*t[88])/2 + (73*t[89])/4 - 16*t[99] + 47*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      (19*t[60] - (183*t[61])/2 - (229*t[62])/4 + 33*t[63] - (181*t[64])/2 + 
       (322*t[65])/3 + (919*t[66])/6 + (3*t[67])/2 + 9*t[74] - (51*t[79])/2 - 
       6*t[80] - 2*t[83] + 5*t[84] - t[85] + (175*t[86])/2 - 23*t[87] - 
       (23*t[88])/2 + 26*t[89] - (3*t[94])/2 + 48*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-6*t[60] + (101*t[61])/4 + 2*t[62] + (139*t[63])/2 - (131*t[64])/8 + 
       (47*t[65])/6 + (281*t[66])/12 + 6*t[69] + 4*t[72] - 24*t[73] + 
       3*t[74] - (17*t[79])/2 + 2*t[82] + (17*t[83])/2 - (25*t[84])/4 - 
       (13*t[85])/4 - (81*t[86])/2 + (43*t[87])/4 + (43*t[88])/8 - 
       (61*t[89])/8 - 6*t[99] + 48*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((-253*t[1])/72 + 
       (47*t[2])/36 + (13*t[3])/72 + (1309*t[4])/48 - (3443*t[5])/288 + 
       (2837*t[6])/288 - (281*t[7])/16 + (1435*t[8])/72 + (1001*t[9])/96 + 
       (655*t[10])/32 - (6733*t[11])/288 - (53*t[12])/144 + (111*t[13])/32 - 
       (23515*t[14])/1728 - (65075*t[15])/5184 - (2*t[18])/3 - (2*t[21])/3 - 
       (2*t[22])/3 - (2*t[23])/3 - (2*t[24])/3 + t[25]/3 + (11*t[26])/12 + 
       (2*t[27])/3 + (107*t[29])/144 - (97*t[30])/144 - (43*t[31])/9 + 
       (19*t[32])/48 - (19*t[33])/48 - (59*t[34])/36 - (3*t[35])/2 - 
       (7*t[36])/12 + (4*t[37])/3 - (29*t[38])/18 + (41*t[39])/144 - 
       (209*t[40])/144 - t[41]/8 + t[42]/24 - (539*t[43])/144 - 
       (50*t[44])/9 - (493*t[45])/72 - (53*t[46])/12 + (118*t[47])/9 + 
       (157*t[48])/288 + (949*t[49])/288 + (179*t[50])/96 - (673*t[51])/576 + 
       (703*t[52])/288 - (949*t[53])/288 - (965*t[54])/288 - t[58]/12 + 
       (77*t[59])/72 - (3361*t[60])/144 - (3949*t[61])/72 + (1667*t[62])/72 + 
       (1079*t[63])/48 - (4237*t[64])/288 - (385*t[65])/48 + 
       (18749*t[66])/432 + t[67]/12 + (10*t[69])/3 + (2*t[70])/3 - 
       (2*t[71])/3 - 4*t[74] - (2*t[75])/3 - (23*t[76])/18 - (7*t[77])/36 - 
       (29*t[78])/9 + 4*t[79] - (131*t[80])/6 - (29*t[81])/9 + 
       (67*t[82])/18 + t[83]/36 - (137*t[84])/24 + (23*t[85])/8 - 
       (65*t[86])/4 + (221*t[87])/144 + (221*t[88])/288 - (715*t[89])/288 + 
       t[94]/3 - (13*t[97])/36 - (35*t[98])/6 - (13*t[99])/6 + 
       (301*t[100])/6) + HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*
      ((4*t[1])/3 + (59*t[2])/3 + (149*t[3])/4 - (380*t[4])/3 + (34*t[5])/3 - 
       (269*t[6])/48 - (245*t[7])/48 + (2897*t[8])/48 - (1667*t[9])/48 - 
       (299*t[10])/48 - (269*t[11])/8 + 55*t[12] - (66401*t[13])/864 + 
       (719*t[14])/24 - (243*t[15])/32 + 2*t[18] - 13*t[22] - 2*t[34] + 
       24*t[35] + 10*t[36] + (4*t[40])/3 - (5*t[41])/3 + (5*t[42])/3 + 
       (643*t[43])/48 + (417*t[45])/8 + 8*t[46] - (397*t[47])/4 + 12*t[48] - 
       40*t[49] - 36*t[50] + (9*t[51])/2 + 36*t[52] + 40*t[53] + 48*t[54] + 
       (8*t[59])/3 + (19*t[60])/4 + (301*t[61])/6 - (293*t[62])/12 + 
       (1409*t[63])/12 + (775*t[64])/12 + (2899*t[65])/18 + (587*t[66])/18 + 
       88*t[73] + 141*t[75] + 40*t[76] + (28*t[77])/3 + 93*t[78] + 10*t[79] + 
       10*t[80] + 17*t[81] - 20*t[82] - 14*t[83] + (25*t[84])/4 + 
       (143*t[85])/4 + (47*t[86])/2 - (205*t[87])/4 - (205*t[88])/8 - 
       (749*t[89])/24 - 68*t[98] + 216*t[99] + 52*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*(-6*t[1] - 4*t[2] + 
       (2855*t[3])/48 + 33*t[4] + (691*t[5])/8 - (1535*t[6])/12 + 
       (661*t[7])/24 - (6227*t[8])/24 - (595*t[9])/24 + (119*t[10])/4 + 
       (229*t[11])/12 - 41*t[12] - (2543*t[13])/144 - (1495*t[14])/18 - 
       (27193*t[15])/864 - 3*t[16] - 18*t[19] + 2*t[23] + 10*t[25] - 
       4*t[26] - (87*t[29])/8 - (455*t[30])/12 - (19*t[32])/12 + 
       (19*t[33])/12 - (28*t[34])/3 + 16*t[36] + 18*t[37] - 6*t[38] + 
       (27*t[39])/2 - (49*t[40])/3 - 9*t[41] + 9*t[42] + (1313*t[44])/24 - 
       t[46]/2 - (1397*t[48])/24 + (57*t[49])/2 + (325*t[50])/24 - 
       (75*t[51])/8 - (325*t[52])/24 - (57*t[53])/2 - (1309*t[54])/12 + 
       (4*t[59])/3 - 8*t[60] + (4969*t[61])/24 + (5773*t[62])/48 - 
       (871*t[63])/16 - (21035*t[64])/48 - (37039*t[65])/72 - 
       (19625*t[66])/72 + (9*t[68])/2 + 36*t[69] - 18*t[72] + 106*t[73] - 
       27*t[74] - 42*t[75] - (25*t[76])/6 - 24*t[77] + (343*t[78])/3 + 
       (47*t[79])/2 - 129*t[80] - (95*t[81])/3 - 20*t[82] + 81*t[83] - 
       (2459*t[84])/24 - (1077*t[85])/8 - 135*t[86] + (1735*t[87])/24 + 
       (1735*t[88])/48 - (409*t[89])/2 - 6*t[97] - 68*t[98] + 216*t[99] + 
       52*t[100]) + HPL[{0, 1}, 1 - u]*Qep[w, v, u]*
      ((160*t[1])/9 - (248*t[2])/9 + (68*t[3])/9 + (752*t[4])/9 + 
       (670*t[5])/3 - 16*t[6] - (2572*t[7])/9 + (604*t[8])/9 - 
       (4606*t[9])/9 + (464*t[10])/3 - (1436*t[11])/9 - (1430*t[12])/9 - 
       (3020*t[13])/81 - (2476*t[14])/9 + (1445*t[15])/9 + (32*t[22])/3 + 
       (128*t[27])/9 - (256*t[28])/9 - (128*t[29])/9 + (320*t[30])/9 - 
       (128*t[31])/3 - (128*t[32])/9 + (128*t[33])/9 - (512*t[34])/9 - 
       (320*t[35])/3 + (64*t[37])/3 + (128*t[38])/9 - (256*t[39])/9 + 
       (320*t[40])/9 + (80*t[41])/9 - (80*t[42])/9 + (224*t[43])/9 + 
       (128*t[44])/9 - (208*t[45])/9 + 16*t[46] - 32*t[47] + (8*t[48])/9 - 
       (284*t[49])/9 + (88*t[50])/3 + 18*t[51] - 72*t[52] + (284*t[53])/9 - 
       48*t[54] + (80*t[59])/3 - (1720*t[60])/9 - (5288*t[61])/9 + 
       (6620*t[62])/9 - (1252*t[63])/9 - (68*t[64])/3 - (4616*t[65])/27 + 
       (16376*t[66])/27 + (64*t[69])/3 - (32*t[73])/3 + (128*t[74])/3 + 
       (32*t[75])/3 - (448*t[76])/9 - (32*t[77])/3 + (256*t[78])/9 + 
       (160*t[80])/9 - 48*t[81] + 48*t[82] + (32*t[84])/3 - (1256*t[85])/9 - 
       (832*t[86])/3 + (1672*t[87])/9 + (836*t[88])/9 - 12*t[89] - 
       (64*t[97])/9 - (1216*t[98])/3 + (1216*t[99])/3 + (160*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-121*t[60])/4 - (185*t[61])/4 - (53*t[62])/8 - (127*t[63])/8 + 
       (525*t[64])/8 - (125*t[65])/12 + (209*t[66])/6 - 10*t[69] + 6*t[73] - 
       3*t[74] - 9*t[75] - 9*t[78] + (15*t[79])/2 - 4*t[81] + 4*t[82] + 
       31*t[83] - (19*t[84])/2 - (5*t[85])/2 + (49*t[86])/2 + (65*t[87])/2 + 
       (65*t[88])/4 + (115*t[89])/8 - 6*t[99] + 54*t[100]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v]*(-16*t[1] + (39*t[3])/2 + 
       24*t[4] + 21*t[5] + (261*t[6])/8 - 114*t[7] + 147*t[8] - 
       (273*t[9])/4 + 18*t[10] - (249*t[11])/8 - (15*t[12])/2 + 
       (179*t[13])/12 + (117*t[14])/8 - (119*t[15])/8 + 18*t[29] + 6*t[30] - 
       (3*t[39])/2 + (3*t[40])/2 - 57*t[44] + (231*t[48])/8 + 18*t[49] - 
       (453*t[50])/8 - 9*t[51] + (453*t[52])/8 - (27*t[53])/2 + 
       (249*t[54])/8 - (5*t[60])/4 + (31*t[61])/4 + (1373*t[62])/8 + 
       (691*t[63])/8 - (1479*t[64])/8 - (873*t[65])/4 + (1051*t[66])/12 - 
       8*t[69] + 40*t[70] - 40*t[71] - 39*t[76] + 45*t[78] - 64*t[80] - 
       47*t[81] + 44*t[82] - (115*t[84])/4 - (251*t[85])/4 - 114*t[86] - 
       (41*t[87])/4 - (41*t[88])/8 - (599*t[89])/8 + 60*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u]*((-27*t[3])/4 + 48*t[4] - 
       (573*t[5])/8 - (3*t[6])/4 - 30*t[7] - 12*t[8] + (351*t[9])/8 + 
       99*t[10] - (201*t[11])/4 + (177*t[12])/8 - (425*t[13])/24 + 
       (35*t[14])/8 - (307*t[15])/16 - (117*t[43])/4 + (9*t[45])/2 - 
       9*t[47] + 30*t[60] - 12*t[61] + 63*t[62] - 12*t[63] - 234*t[64] + 
       (71*t[65])/2 + (201*t[66])/2 - 3*t[77] - 96*t[80] - 3*t[82] - 
       156*t[86] + 21*t[89] + 60*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*(-t[1] - (19*t[2])/4 - 
       (189*t[3])/8 - 21*t[4] - (131*t[5])/8 - (23*t[6])/16 + 36*t[7] + 
       8*t[8] + (49*t[9])/2 + (27*t[10])/4 - (457*t[11])/16 + (41*t[12])/8 - 
       (557*t[13])/24 + (613*t[14])/48 + (365*t[15])/144 - 2*t[19] + 
       2*t[20] - 2*t[22] - 4*t[28] - (3*t[29])/2 - 5*t[30] + 3*t[31] + 
       3*t[32] - 2*t[33] + 5*t[34] + 3*t[35] + 4*t[36] + 5*t[37] - t[41]/2 + 
       t[42]/2 + 3*t[43] + (9*t[44])/2 + t[46]/2 + t[47] - (117*t[48])/16 - 
       (13*t[49])/4 + (195*t[50])/16 + 2*t[51] - (195*t[52])/16 + 
       (13*t[53])/4 + (213*t[54])/16 + (5*t[59])/4 + (449*t[60])/24 + 
       (175*t[61])/8 - 22*t[62] + (1301*t[63])/12 + (59*t[64])/48 + 
       (253*t[65])/9 + (5899*t[66])/72 + t[68]/2 + 4*t[69] - (23*t[72])/3 - 
       2*t[73] + t[74] + 51*t[75] - 16*t[76] - (7*t[77])/2 + 37*t[78] - 
       (17*t[79])/2 - 9*t[80] + (17*t[81])/6 + (35*t[82])/6 - (19*t[83])/6 + 
       (181*t[84])/24 - (365*t[85])/24 - (17*t[86])/2 - (205*t[87])/24 - 
       (13*t[88])/48 - (283*t[89])/48 - 6*t[95] - t[96]/2 + t[97] - 
       60*t[98] + 60*t[99] + 61*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((5*t[1])/3 + (43*t[2])/18 - 
       18*t[3] + (223*t[4])/24 - (17*t[5])/2 - (47*t[6])/24 - (97*t[7])/3 + 
       (1135*t[8])/24 - (193*t[9])/12 + (23*t[10])/16 + (485*t[11])/24 - 
       (103*t[12])/48 + (5947*t[13])/432 - (1477*t[14])/288 - 
       (313*t[15])/144 - (3*t[20])/2 + (7*t[28])/2 - (22*t[29])/3 - 
       (3*t[30])/4 - 3*t[31] - (239*t[32])/12 + (59*t[33])/4 - (59*t[34])/6 - 
       (27*t[35])/2 + 2*t[36] + t[37]/2 + (25*t[38])/12 + (5*t[39])/4 + 
       (5*t[40])/3 + (2*t[41])/3 - (2*t[42])/3 + (7*t[43])/4 - 8*t[44] + 
       (35*t[45])/6 - (17*t[47])/6 + (41*t[48])/4 - (67*t[49])/16 - 
       (265*t[50])/12 + (301*t[51])/96 + (65*t[52])/4 + (281*t[53])/48 + 
       (157*t[54])/24 + (43*t[59])/36 + (2681*t[60])/144 + (2257*t[61])/48 - 
       (2137*t[62])/48 - (10535*t[63])/144 + (23243*t[64])/288 - 
       (1495*t[65])/432 - (30467*t[66])/432 + (3*t[68])/2 + (17*t[69])/6 - 
       (22*t[72])/9 - (3*t[73])/2 + 6*t[74] + (11*t[75])/4 - (5*t[76])/2 + 
       (11*t[77])/6 + (23*t[78])/6 - 3*t[79] + (19*t[80])/6 - 
       (299*t[81])/72 + (19*t[82])/72 - (295*t[83])/36 + (383*t[84])/72 - 
       (1259*t[85])/144 + (161*t[86])/6 + (3839*t[87])/144 + 
       (3647*t[88])/288 + (10073*t[89])/288 + (5*t[96])/2 + (5*t[97])/6 - 
       26*t[98] + 29*t[99] + (367*t[100])/6) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((13*t[1])/8 - (131*t[2])/12 + (261*t[3])/8 - (359*t[4])/24 + 
       (871*t[5])/16 - (3203*t[6])/144 - (223*t[7])/3 - (109*t[8])/8 - 
       (5695*t[9])/48 + (1877*t[10])/48 - (357*t[11])/16 - (119*t[12])/3 - 
       (1297*t[13])/108 - (2391*t[14])/32 + (5101*t[15])/288 - (3*t[17])/2 + 
       t[18]/9 - 2*t[21] + t[22] + (25*t[23])/6 + 6*t[24] - (5*t[26])/12 - 
       (3*t[27])/2 - (19*t[31])/2 - (5*t[32])/2 + (5*t[33])/2 - 
       (25*t[34])/4 + t[35] + t[37] + (5*t[38])/3 - (5*t[39])/2 + 
       (17*t[40])/6 - (25*t[41])/24 + (163*t[42])/72 + (103*t[43])/8 + 
       (7*t[44])/2 + (43*t[45])/12 + (13*t[46])/2 - (76*t[47])/3 + 
       (231*t[48])/16 + (47*t[49])/16 + (71*t[50])/16 - (101*t[51])/96 - 
       (425*t[52])/48 - (47*t[53])/16 - (899*t[54])/48 - (5*t[58])/12 - 
       (781*t[59])/72 - (3835*t[60])/48 - (1141*t[61])/16 + (2629*t[62])/32 + 
       (185*t[63])/96 + (983*t[64])/96 + (787*t[65])/36 + (11195*t[66])/72 + 
       t[67]/4 - (29*t[69])/6 + (5*t[73])/12 + (13*t[74])/2 - (7*t[75])/12 - 
       (47*t[76])/12 - t[77]/12 + t[78] - 10*t[79] - (379*t[80])/6 - 
       (473*t[81])/24 + (377*t[82])/24 + (52*t[83])/3 - (257*t[84])/24 - 
       (1675*t[85])/48 - (577*t[86])/6 + (3599*t[87])/48 + (3599*t[88])/96 + 
       (727*t[89])/32 - (5*t[97])/12 - 26*t[98] + 29*t[99] + 
       (379*t[100])/6) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, u, w]*
      ((-232*t[60])/3 - 40*t[61] - (256*t[62])/3 - (400*t[63])/3 + 
       (340*t[64])/3 - (40*t[65])/9 + (248*t[66])/3 - (32*t[74])/3 + 
       (64*t[79])/3 - 16*t[81] + 16*t[82] + (64*t[83])/3 - (32*t[84])/3 - 
       (136*t[85])/3 + 160*t[86] + (200*t[87])/3 + (100*t[88])/3 - 12*t[89] + 
       64*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-6*t[99] + (129*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((79*t[60])/2 - 39*t[61] + (309*t[62])/8 + (267*t[63])/8 - 
       (69*t[64])/4 - (71*t[65])/3 + (101*t[66])/12 + 12*t[69] - 9*t[70] + 
       9*t[71] - 3*t[74] - 3*t[78] - (33*t[79])/2 - 27*t[80] - (5*t[81])/2 + 
       (5*t[82])/2 + (5*t[83])/2 - (7*t[84])/2 + (95*t[85])/4 - 
       (35*t[86])/2 - (143*t[87])/4 - (143*t[88])/8 + (17*t[89])/4 - 
       6*t[99] + (129*t[100])/2) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*(8*t[2] + (907*t[3])/12 - 215*t[4] + 
       (343*t[5])/6 - (8387*t[6])/24 + (2279*t[7])/6 - 669*t[8] + 
       (147*t[9])/4 - 69*t[10] + (1129*t[11])/8 + (305*t[12])/6 - 
       (5717*t[13])/36 - (14893*t[14])/72 + (287*t[15])/27 - 6*t[20] - 
       t[23] + 12*t[28] - (89*t[29])/2 + (245*t[30])/3 - 6*t[31] + 
       (173*t[32])/3 - 49*t[33] + (43*t[34])/3 + 12*t[35] + 36*t[36] - 
       t[39] + (29*t[40])/3 + 18*t[43] + (1201*t[44])/6 - (1099*t[48])/8 - 
       36*t[49] + (4363*t[50])/24 + 18*t[51] - (4363*t[52])/24 + 36*t[53] - 
       (1881*t[54])/8 - (20*t[59])/3 - (4049*t[60])/12 - (431*t[61])/4 - 
       (12251*t[62])/24 + (7643*t[63])/24 + (3601*t[64])/8 - (463*t[65])/12 + 
       (1661*t[66])/36 - 6*t[69] - 6*t[72] + 24*t[73] - 36*t[74] + 84*t[75] - 
       (50*t[76])/3 - 48*t[77] - (200*t[78])/3 + 72*t[80] - (220*t[81])/3 + 
       60*t[82] + t[83] - (419*t[84])/4 - (1057*t[85])/12 + 540*t[86] + 
       (4325*t[87])/12 + (4565*t[88])/24 - (7883*t[89])/24 + 72*t[100]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v]*(-6*t[1] + 4*t[2] + 
       (833*t[3])/12 - 604*t[4] + (9329*t[5])/24 + (103*t[6])/12 + 
       (225*t[7])/2 + 294*t[8] - (2359*t[9])/8 + (79*t[10])/3 + 
       (23*t[11])/6 - (1523*t[12])/8 + (1453*t[13])/18 - (439*t[14])/8 + 
       (23309*t[15])/144 + 6*t[21] - 6*t[23] + 24*t[31] - t[32] + t[34] - 
       16*t[37] - 6*t[40] - (11*t[41])/3 + (11*t[42])/3 + (893*t[43])/12 + 
       36*t[44] + (113*t[45])/3 + 42*t[46] - (526*t[47])/3 + (147*t[48])/4 + 
       8*t[49] - (81*t[50])/4 - (23*t[51])/2 + (81*t[52])/4 - 8*t[53] + 
       (177*t[54])/4 + (94*t[59])/3 - (71*t[60])/2 + (385*t[61])/3 - 
       (1507*t[62])/2 - (2321*t[63])/6 + (5633*t[64])/6 + (734*t[65])/3 - 
       (3907*t[66])/9 - 4*t[67] - 18*t[69] + 8*t[70] - 8*t[71] - 6*t[72] + 
       12*t[74] + (58*t[77])/3 + 126*t[79] + (322*t[80])/3 - 24*t[81] + 
       (70*t[82])/3 + 41*t[83] + (3*t[84])/2 - (123*t[85])/2 + 
       (2447*t[86])/3 + (149*t[87])/2 + (149*t[88])/4 + (143*t[89])/12 + 
       72*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 
       1 - u]*(7*t[1] + 16*t[2] + 53*t[3] - (383*t[4])/6 + (183*t[5])/2 - 
       (457*t[6])/6 - (67*t[7])/4 - (1099*t[8])/12 - (749*t[9])/4 + 
       (487*t[10])/6 - (2809*t[11])/12 - (1351*t[12])/12 - (1731*t[13])/8 - 
       (5441*t[14])/72 + (4465*t[15])/72 - (2*t[17])/3 + (4*t[18])/3 - 
       12*t[19] + (52*t[21])/3 - (4*t[22])/3 - (62*t[23])/3 + 4*t[24] - 
       (16*t[34])/3 - 72*t[35] + 36*t[37] - 2*t[38] - (40*t[41])/3 + 
       (31*t[42])/3 + (467*t[43])/12 + 28*t[44] + t[45]/2 + (77*t[46])/3 - 
       (259*t[47])/3 + (463*t[48])/12 + (155*t[49])/12 - (193*t[50])/12 - 
       (99*t[51])/8 + (241*t[52])/12 - (155*t[53])/12 + (25*t[54])/4 - 
       2*t[58] - (40*t[59])/3 - (337*t[60])/6 - (881*t[61])/6 + 
       (1441*t[62])/6 + (331*t[63])/2 - (617*t[64])/4 - (1711*t[65])/18 + 
       (2887*t[66])/18 - (16*t[67])/3 - 20*t[69] + (4*t[70])/3 - 
       (4*t[71])/3 - 2*t[74] + 8*t[75] - 8*t[76] + 6*t[78] - 38*t[79] - 
       (184*t[80])/3 - 3*t[81] + 17*t[82] - (106*t[83])/3 + 8*t[84] + 
       (23*t[85])/2 - (608*t[86])/3 - (19*t[87])/2 - (19*t[88])/4 - 
       (215*t[89])/12 - (2*t[92])/3 + 2*t[94] - 24*t[98] + 72*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (2*t[1] + (299*t[2])/6 - (7*t[3])/4 - (391*t[4])/2 - (737*t[5])/12 - 
       26*t[6] + (1009*t[7])/6 + (1019*t[8])/6 + (285*t[9])/4 - 
       (97*t[10])/4 - (461*t[11])/3 + (137*t[12])/6 - (5537*t[13])/36 - 
       (1813*t[14])/24 - (1673*t[15])/36 - 20*t[20] + 16*t[22] + 
       (20*t[23])/3 - 36*t[28] + 18*t[29] - 28*t[30] + 27*t[32] - 
       (68*t[33])/3 + (94*t[34])/3 + 20*t[35] + 28*t[36] + 4*t[37] + 
       4*t[39] - (4*t[40])/3 + 3*t[41] - 3*t[42] + 14*t[43] + (175*t[44])/6 - 
       (10*t[45])/3 + (22*t[47])/3 - (149*t[48])/6 - (217*t[49])/12 + 
       (43*t[50])/6 + (217*t[51])/24 - (25*t[52])/2 + (217*t[53])/12 + 
       (113*t[54])/2 - (82*t[59])/3 - (157*t[60])/6 - (661*t[61])/3 - 
       (703*t[62])/3 - (26*t[63])/3 + (995*t[64])/2 + (1477*t[65])/18 + 
       (2885*t[66])/18 + (2*t[67])/3 - 16*t[69] - (4*t[70])/3 + (4*t[71])/3 - 
       (22*t[74])/3 - 12*t[75] - 2*t[76] - 26*t[77] - 12*t[78] + 20*t[79] + 
       (184*t[80])/3 - 33*t[81] + (95*t[82])/3 + 88*t[83] + (41*t[84])/6 + 
       (124*t[85])/3 + 400*t[86] + 126*t[87] + 96*t[88] + t[89]/4 - 
       (44*t[95])/3 - (40*t[96])/3 + 4*t[97] - 24*t[98] + 72*t[100]) + 
     HPL[{0, 1}, 1 - u]*Qep[w, u, v]*((-64*t[1])/9 - (88*t[2])/9 - 
       (434*t[3])/9 - (596*t[4])/9 - (253*t[5])/3 + 12*t[6] + (910*t[7])/9 + 
       (1418*t[8])/9 + (1135*t[9])/9 + (658*t[10])/3 + (1766*t[11])/9 + 
       (1103*t[12])/9 + (12800*t[13])/81 + (655*t[14])/9 - (175*t[15])/18 + 
       (16*t[22])/3 + (64*t[27])/9 - (128*t[28])/9 - (64*t[29])/9 + 
       (160*t[30])/9 + (128*t[31])/3 - (64*t[32])/9 + (64*t[33])/9 - 
       (256*t[34])/9 + (128*t[35])/3 - (64*t[37])/3 + (64*t[38])/9 - 
       (128*t[39])/9 + (160*t[40])/9 + (40*t[41])/9 - (40*t[42])/9 - 
       (428*t[43])/9 + (64*t[44])/9 + (328*t[45])/9 - 16*t[46] + 80*t[47] - 
       (500*t[48])/9 + (20*t[49])/9 - (28*t[50])/3 + 18*t[51] - 12*t[52] - 
       (20*t[53])/9 - 20*t[54] - (56*t[59])/3 + (688*t[60])/9 + 
       (3440*t[61])/9 - (4232*t[62])/9 - (320*t[63])/9 + (128*t[64])/3 + 
       (6188*t[65])/27 - (7724*t[66])/27 - (64*t[69])/3 - (64*t[73])/3 - 
       (128*t[74])/3 + (64*t[75])/3 - (224*t[76])/9 - (16*t[77])/3 + 
       (128*t[78])/9 - (1504*t[80])/9 - 16*t[82] + 32*t[83] - (32*t[84])/3 + 
       (272*t[85])/9 + (352*t[86])/3 + (80*t[87])/9 + (40*t[88])/9 + 
       72*t[89] - (32*t[97])/9 - (320*t[98])/3 + (320*t[99])/3 + 
       (224*t[100])/3) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      (t[1]/6 + (95*t[2])/12 + (35*t[3])/6 + 24*t[4] - t[5]/12 + 
       (22*t[6])/3 - (1381*t[7])/24 - (53*t[8])/24 - (337*t[9])/24 + 
       (153*t[10])/8 - (553*t[11])/24 + t[12]/4 + (14011*t[13])/432 - 
       (1675*t[14])/72 - (2927*t[15])/144 - t[17]/6 - (4*t[21])/3 - t[22]/3 + 
       (2*t[23])/3 - (2*t[24])/3 + 4*t[31] - (16*t[34])/3 + 20*t[35] - 
       8*t[37] - t[38] - 3*t[41] + (3*t[42])/2 - (67*t[43])/8 - 12*t[44] + 
       (53*t[45])/12 - (34*t[46])/3 + (37*t[47])/6 - (251*t[48])/24 - t[49] - 
       (9*t[50])/8 - (29*t[51])/12 + (49*t[52])/8 + t[53] - (133*t[54])/24 - 
       t[58] - (8*t[59])/3 - (323*t[60])/6 - (437*t[61])/2 + (757*t[62])/8 + 
       (709*t[63])/24 - (335*t[64])/12 - (151*t[65])/36 + (8113*t[66])/36 + 
       (4*t[67])/3 - 4*t[69] - (4*t[70])/3 + (4*t[71])/3 + 14*t[74] + 
       4*t[75] - 4*t[76] + 3*t[78] + 41*t[79] - (80*t[80])/3 - 3*t[81] + 
       10*t[82] - (67*t[83])/3 - (5*t[84])/2 - 9*t[85] - (62*t[86])/3 - 
       (13*t[87])/3 - (13*t[88])/6 - 6*t[89] - t[92]/3 - 2*t[94] - 12*t[98] + 
       76*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (t[1] - (7*t[2])/6 - (307*t[3])/8 + (557*t[4])/12 + (35*t[5])/3 + 
       (83*t[6])/3 - (373*t[7])/4 + (63*t[8])/4 - (8*t[9])/3 + 
       (1043*t[10])/24 + (91*t[11])/12 - (93*t[12])/8 + (1739*t[13])/72 + 
       (2083*t[14])/48 + (2713*t[15])/144 - (4*t[23])/3 + 16*t[28] + 
       (7*t[29])/2 - (5*t[30])/6 + (10*t[32])/3 + (5*t[33])/6 - 10*t[34] - 
       8*t[35] - 12*t[36] + 2*t[39] - (16*t[40])/3 + t[41]/2 - t[42]/2 - 
       6*t[43] - (145*t[44])/4 + (17*t[45])/3 - (17*t[47])/3 + 
       (103*t[48])/4 + (185*t[49])/24 - (161*t[50])/12 - (185*t[51])/48 + 
       (241*t[52])/12 - (185*t[53])/24 + (15*t[54])/4 + t[59] + 17*t[60] + 
       (133*t[61])/3 + (559*t[62])/8 - (417*t[63])/8 - (1697*t[64])/12 - 
       (129*t[65])/4 - (371*t[66])/12 + (4*t[70])/3 - (4*t[71])/3 + 
       (23*t[74])/3 + 16*t[75] - t[76] + 13*t[77] + 9*t[78] - 10*t[79] - 
       (80*t[80])/3 + 13*t[81] - (52*t[82])/3 - 30*t[83] + t[84]/12 - 
       (47*t[85])/4 - 154*t[86] - (209*t[87])/4 - (181*t[88])/8 + 
       (509*t[89])/24 + (2*t[95])/3 + (2*t[96])/3 + 2*t[97] - 12*t[98] + 
       76*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((-3*t[59])/2 + (329*t[60])/24 - (585*t[61])/8 + 
       (255*t[62])/8 - (137*t[63])/24 - (2065*t[64])/48 + (2731*t[65])/36 + 
       (1207*t[66])/72 - t[68]/2 + 2*t[69] - 4*t[70] + 4*t[71] - 
       (17*t[72])/3 + 14*t[73] + 25*t[75] + (21*t[76])/2 + (3*t[77])/2 - 
       (5*t[78])/2 - (5*t[79])/2 + 7*t[80] + (28*t[81])/3 - (11*t[82])/3 - 
       (169*t[83])/6 + (511*t[84])/24 + (619*t[85])/24 + (23*t[86])/2 - 
       (469*t[87])/24 - (1117*t[88])/48 + (1229*t[89])/48 + t[96]/2 - 
       (7*t[97])/2 + 96*t[98] - 136*t[99] + 76*t[100]) + 
     HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - v]*((-25*t[1])/2 + (203*t[2])/4 - 
       (1185*t[3])/8 - (215*t[4])/2 - 134*t[5] + (839*t[6])/8 + 
       (491*t[7])/4 - (389*t[8])/4 + (1289*t[9])/4 - (939*t[10])/4 - 
       (133*t[11])/8 + (599*t[12])/4 + (9047*t[13])/72 + (254*t[14])/3 + 
       (5335*t[15])/144 + 12*t[19] + 16*t[20] + 12*t[21] - 40*t[22] - 
       8*t[23] + 4*t[24] - 12*t[27] + 24*t[28] - (23*t[29])/2 - 27*t[30] + 
       32*t[31] - (11*t[32])/2 + 3*t[33] + 73*t[34] - 24*t[35] - 8*t[36] + 
       9*t[37] - 16*t[38] - 21*t[40] + 12*t[41] - 12*t[42] + (63*t[43])/4 + 
       (7*t[44])/4 - 87*t[45] - 6*t[46] + 103*t[47] - (377*t[48])/8 - 
       (367*t[49])/4 + (587*t[50])/8 + (457*t[51])/8 - (467*t[52])/8 + 
       (303*t[53])/4 + (983*t[54])/8 + 4*t[55] - 2*t[56] - 12*t[57] + 
       (33*t[59])/2 + (843*t[60])/4 + 43*t[61] + 157*t[62] + 172*t[63] - 
       (357*t[64])/2 + (641*t[65])/4 + (169*t[66])/12 - 2*t[67] - 6*t[70] + 
       6*t[71] - 36*t[72] - 20*t[73] - t[74] + 84*t[75] - 54*t[76] + 
       7*t[77] + 210*t[78] - 32*t[79] + 164*t[80] + (39*t[81])/2 - 
       (15*t[82])/2 - 86*t[83] + (305*t[84])/4 + (23*t[85])/2 - 183*t[86] - 
       121*t[87] - (15*t[88])/2 + (279*t[89])/8 - 2*t[93] - 6*t[95] - 
       40*t[96] - 7*t[97] - 12*t[98] + 78*t[100]) + 
     HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u]*((39*t[1])/2 - (39*t[2])/2 - 14*t[3] - 
       (139*t[4])/2 - (279*t[5])/8 + (685*t[6])/8 - (15*t[7])/8 + 
       (147*t[8])/8 + (107*t[9])/2 + (559*t[10])/8 - (163*t[11])/4 + 
       (297*t[12])/8 + (8723*t[13])/144 - (553*t[14])/24 + (139*t[15])/3 + 
       4*t[17] + 4*t[18] + 12*t[19] - 36*t[20] - 6*t[21] - 14*t[22] - 
       2*t[23] - 2*t[24] - 8*t[25] + t[26] + 2*t[27] - 44*t[28] - 15*t[29] - 
       36*t[30] + 4*t[31] - 8*t[32] + 6*t[33] + 23*t[34] + 24*t[35] - 
       12*t[36] - 24*t[37] + 8*t[38] - 26*t[39] - 10*t[40] - (7*t[41])/2 - 
       (7*t[42])/2 + (39*t[43])/8 + (15*t[44])/2 - (85*t[45])/4 + 
       (43*t[46])/2 - (31*t[47])/2 - 93*t[48] - 30*t[49] + (79*t[50])/2 - 
       13*t[51] - (29*t[52])/2 + 36*t[53] + (91*t[54])/2 - 2*t[56] - 
       5*t[58] + 12*t[59] - (317*t[60])/2 - (413*t[61])/2 + (311*t[62])/2 + 
       (283*t[63])/2 + (223*t[64])/4 - (281*t[65])/3 + (1195*t[66])/6 + 
       6*t[74] - 6*t[76] - 8*t[77] - t[78] - 2*t[80] - 15*t[81] + 5*t[82] - 
       20*t[84] + t[85] - 32*t[86] + 28*t[87] + 14*t[88] - (337*t[89])/4 + 
       2*t[92] - 2*t[94] + 2*t[97] - 12*t[98] + 78*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-2*t[1])/3 + (275*t[2])/12 + (23*t[3])/2 + (139*t[4])/4 - 
       (179*t[5])/3 - (1367*t[6])/24 + (1411*t[7])/24 + (499*t[8])/24 + 
       (1421*t[9])/24 - (781*t[10])/12 + (135*t[11])/2 + (169*t[12])/24 + 
       (4723*t[13])/144 - (3053*t[14])/144 - (307*t[15])/16 - (5*t[17])/2 - 
       12*t[19] + (26*t[21])/3 - 9*t[23] + (26*t[24])/3 + 6*t[31] - t[34]/3 - 
       2*t[37] + 2*t[39] - 2*t[40] + (16*t[41])/3 - (16*t[42])/3 - 
       (63*t[43])/8 + 2*t[44] + (13*t[45])/12 - (7*t[46])/6 + (191*t[47])/6 - 
       (22*t[48])/3 + (293*t[49])/24 - t[50]/3 - (131*t[51])/48 + t[52]/3 - 
       (293*t[53])/24 - (111*t[54])/4 + t[59]/3 - (31*t[60])/2 - 5*t[61] - 
       (1519*t[62])/12 - (277*t[63])/4 + (106*t[64])/3 + (434*t[65])/9 - 
       (916*t[66])/9 - 2*t[67] - 16*t[69] + 2*t[70] - 2*t[71] - 2*t[72] + 
       (8*t[74])/3 - 4*t[75] - t[77] - 28*t[79] + 12*t[80] - t[81] - 
       7*t[82] + 25*t[83] - (55*t[84])/3 + (161*t[85])/6 + (403*t[86])/3 + 
       (95*t[87])/6 + (95*t[88])/12 + (111*t[89])/4 - t[94]/3 + 24*t[99] + 
       82*t[100]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((39*t[2])/4 + (187*t[3])/8 + (77*t[4])/6 + (791*t[5])/24 + 
       (61*t[6])/12 - (583*t[7])/12 + (103*t[8])/12 - (1045*t[9])/24 - 
       (19*t[10])/4 + (39*t[11])/2 + (155*t[12])/24 + (111*t[13])/8 - 
       (499*t[14])/12 + (21*t[15])/8 - 4*t[20] + 2*t[22] + 6*t[28] - 
       (17*t[29])/2 + (35*t[30])/3 - (9*t[32])/2 + (5*t[33])/3 - 
       (11*t[34])/3 - 10*t[35] - 2*t[37] - t[41] + t[42] + (23*t[44])/12 - 
       2*t[47] + (77*t[48])/6 - (5*t[49])/12 - (119*t[50])/6 + (5*t[51])/24 + 
       (119*t[52])/6 + (5*t[53])/12 - (157*t[54])/12 + (10*t[59])/3 - 
       (421*t[60])/12 - (517*t[61])/12 + (169*t[62])/4 + 5*t[63] + 
       (75*t[64])/8 + (361*t[65])/12 + (1819*t[66])/36 + (2*t[67])/3 - 
       6*t[69] - (8*t[70])/3 + (8*t[71])/3 - 4*t[73] + (14*t[74])/3 - 
       10*t[75] - 2*t[79] + 2*t[80] - (5*t[81])/6 + (17*t[82])/6 - 5*t[83] - 
       (43*t[84])/4 - (22*t[85])/3 - 22*t[86] + (27*t[87])/2 - 
       (11*t[88])/12 + (125*t[89])/12 + (4*t[95])/3 + 24*t[99] + 82*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((11*t[1])/4 - (515*t[2])/12 + (209*t[3])/24 + (3607*t[4])/48 + 
       (43*t[5])/96 - (437*t[6])/12 - (459*t[7])/8 - (197*t[8])/3 - 
       (1799*t[9])/32 + (3167*t[10])/32 + (1321*t[11])/48 - (493*t[12])/16 + 
       (13817*t[13])/432 - (3905*t[14])/192 - (18071*t[15])/1728 + t[17] - 
       (8*t[19])/3 + 4*t[20] - 4*t[21] - 3*t[22] + 4*t[23] + t[24] + 
       (5*t[27])/3 + 8*t[28] + (9*t[29])/4 + (35*t[30])/3 - 4*t[31] - 
       (125*t[32])/6 + 13*t[33] - (85*t[34])/6 - 5*t[35] - 7*t[36] + 
       (4*t[37])/3 + (10*t[38])/3 - (5*t[39])/3 + (39*t[40])/4 - 
       (5*t[41])/12 + (5*t[42])/12 - (135*t[43])/16 + (401*t[44])/24 + 
       (239*t[45])/12 - t[46]/6 - (43*t[47])/3 + (21*t[48])/4 + 
       (1207*t[49])/96 - (14*t[50])/3 - (1667*t[51])/192 - (49*t[52])/6 - 
       (189*t[53])/32 - (421*t[54])/16 - t[55]/2 - t[56]/2 + t[57] - 
       (23*t[59])/12 - (439*t[60])/16 + (103*t[61])/48 - (1591*t[62])/48 - 
       (1373*t[63])/16 + (14291*t[64])/96 - (2083*t[65])/18 - 
       (15829*t[66])/144 - (8*t[68])/3 + 3*t[69] - (10*t[70])/3 + 
       (10*t[71])/3 - 6*t[72] - 2*t[73] + t[74]/3 - 7*t[75] + (53*t[76])/2 + 
       (29*t[77])/3 - (31*t[78])/3 - (31*t[79])/2 - (67*t[80])/4 - 
       (28*t[81])/3 - (65*t[82])/6 + (3*t[83])/2 - (821*t[84])/24 - 
       (691*t[85])/24 - (265*t[86])/8 + (989*t[87])/24 + (325*t[88])/48 + 
       (2003*t[89])/96 - (2*t[95])/3 + (40*t[96])/3 - t[97]/6 + 56*t[98] - 
       42*t[99] + 83*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((16*t[1])/3 - (51*t[2])/2 + (739*t[3])/48 - 
       (423*t[4])/16 + (217*t[5])/3 - (651*t[6])/32 - (467*t[7])/16 + 
       (993*t[8])/16 - (265*t[9])/4 - (5339*t[10])/96 + (1517*t[11])/32 + 
       (131*t[12])/96 + (23927*t[13])/864 - (49247*t[14])/576 - 
       (1183*t[15])/72 - t[16] + t[17]/2 + (10*t[18])/3 - (8*t[19])/3 + 
       12*t[20] + (10*t[21])/3 - (8*t[22])/3 - (10*t[23])/3 + (28*t[24])/3 - 
       3*t[25] - (89*t[26])/6 + 4*t[28] - (5*t[29])/4 + (3*t[30])/2 - 
       13*t[31] - (8*t[32])/3 + (23*t[33])/3 - (2*t[34])/3 - 4*t[36] + 
       (22*t[37])/3 + (61*t[38])/6 - (23*t[39])/3 + (17*t[40])/2 + 
       (11*t[41])/3 - 2*t[42] - (139*t[43])/48 - (119*t[44])/8 + 
       (457*t[45])/24 + (29*t[46])/6 + (101*t[47])/12 + (489*t[48])/32 - 
       (1747*t[49])/96 - (769*t[50])/96 + (795*t[51])/64 - (575*t[52])/96 + 
       (593*t[53])/32 + (637*t[54])/32 - t[56]/6 - t[57]/3 - t[58]/2 - 
       (67*t[59])/12 - (385*t[60])/12 + (265*t[61])/4 - (1703*t[62])/24 - 
       (731*t[63])/24 + (4955*t[64])/24 + (4565*t[65])/36 + (199*t[66])/4 - 
       t[67]/6 - t[68]/3 + 5*t[69] - 6*t[70] + 6*t[71] - 2*t[72] - 10*t[73] + 
       (22*t[74])/3 + 21*t[75] + 11*t[76] + 7*t[77] - (23*t[78])/6 + 
       19*t[79] + (97*t[80])/3 - 11*t[81] + (43*t[82])/3 - (33*t[83])/2 + 
       (14*t[84])/3 - (493*t[85])/12 + 28*t[86] + (143*t[87])/4 + 
       (143*t[88])/8 + (733*t[89])/24 + (4*t[90])/3 + (2*t[92])/3 + t[94]/3 + 
       (5*t[97])/6 + 56*t[98] - 42*t[99] + 83*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[v, u, w]*((136*t[60])/3 - 
       (88*t[61])/3 + (28*t[62])/3 + 156*t[63] - (4*t[64])/3 + 
       (1184*t[65])/9 + (32*t[66])/3 + (64*t[69])/3 - (32*t[73])/3 + 
       (160*t[75])/3 + (128*t[78])/3 + (16*t[81])/3 + 16*t[82] - 
       (320*t[83])/3 + 32*t[84] - (8*t[85])/3 - (64*t[86])/3 - 
       (152*t[87])/3 - (76*t[88])/3 + (68*t[89])/3 + (256*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[u, v, w]*((184*t[60])/9 - 
       (584*t[61])/3 + 40*t[62] + (1064*t[63])/9 - (172*t[64])/9 + 
       (4888*t[65])/27 + (3848*t[66])/27 - (64*t[69])/3 - (128*t[72])/9 + 
       32*t[75] + (64*t[78])/3 + (112*t[81])/9 + (16*t[82])/9 - 
       (512*t[83])/9 + (224*t[84])/9 + (104*t[85])/9 + (64*t[86])/3 - 
       (392*t[87])/9 - (196*t[88])/9 + (476*t[89])/9 + (256*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (t[1] - (77*t[2])/12 + (401*t[3])/24 - (29*t[4])/2 + (199*t[5])/12 - 
       (61*t[6])/3 - (205*t[7])/6 - (31*t[8])/6 - (166*t[9])/3 + 
       (211*t[10])/12 - (89*t[11])/6 - (9*t[12])/4 - (197*t[13])/18 - 
       (1495*t[14])/36 - (1585*t[15])/432 + t[20] + t[22] + 2*t[28] + 
       (7*t[29])/2 + (35*t[30])/3 + (7*t[32])/6 + 5*t[33] - (4*t[34])/3 + 
       2*t[35] - 2*t[36] + t[41] - t[42] - (49*t[44])/12 + (8*t[45])/3 + 
       t[46] - (2*t[47])/3 - (37*t[48])/6 + t[49]/3 - (2*t[50])/3 + 
       (7*t[51])/12 + (2*t[52])/3 - t[53]/3 - (121*t[54])/12 - 5*t[59] - 
       (305*t[60])/6 - (169*t[61])/4 - (601*t[62])/24 + (279*t[63])/8 + 
       (2761*t[64])/24 + (43*t[65])/18 + (167*t[66])/6 - t[67]/3 - 4*t[69] + 
       (4*t[70])/3 - (4*t[71])/3 - (19*t[74])/3 - 10*t[75] - (16*t[76])/3 + 
       (20*t[78])/3 - 6*t[79] - (2*t[80])/3 + (9*t[81])/2 - (23*t[82])/6 + 
       30*t[83] - (107*t[84])/6 - (203*t[85])/12 + 14*t[86] + 
       (335*t[87])/12 + (109*t[88])/8 - (77*t[89])/6 + (10*t[95])/3 - 
       (8*t[96])/3 - 32*t[98] + 8*t[99] + 87*t[100]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*(8*t[1] + (55*t[3])/2 - 
       47*t[4] + (229*t[5])/4 - 24*t[6] + (59*t[7])/2 - (43*t[8])/2 - 
       (225*t[9])/4 - (239*t[10])/2 + 108*t[11] + (23*t[12])/4 + 
       (679*t[13])/18 - (293*t[14])/12 - (221*t[15])/24 - 3*t[22] - 
       14*t[28] - 6*t[30] + 2*t[32] + 30*t[43] - 2*t[44] - 5*t[45] + 
       10*t[47] + 6*t[48] - 2*t[49] - 3*t[50] + t[51] + 3*t[52] + 2*t[53] + 
       t[54] + 8*t[59] - 19*t[60] + 142*t[61] - (239*t[62])/2 + 
       (119*t[63])/2 + 236*t[64] - (9*t[65])/2 - (1487*t[66])/6 - 12*t[73] + 
       10*t[75] + 20*t[77] - 2*t[79] + 128*t[80] - t[81] + 17*t[82] - 
       4*t[83] + (11*t[84])/2 + 5*t[85] + 52*t[86] - 4*t[87] - 2*t[88] - 
       (65*t[89])/2 + (189*t[100])/2) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-t[1] + (3*t[2])/2 + (69*t[3])/2 + 30*t[4] + 
       (117*t[5])/4 - (201*t[6])/2 + (225*t[7])/2 - (499*t[8])/2 - 
       (17*t[9])/4 + (17*t[10])/2 + 82*t[11] + (77*t[12])/4 - 40*t[13] - 
       (161*t[14])/6 + (1093*t[15])/72 - 20*t[29] - 4*t[30] + 8*t[31] - 
       2*t[35] - 2*t[37] + 8*t[39] - 7*t[40] - 4*t[43] + 42*t[44] + 6*t[46] - 
       54*t[48] - (9*t[49])/2 + 62*t[50] - (9*t[51])/4 - 62*t[52] + 
       (9*t[53])/2 - 86*t[54] - 6*t[59] - (21*t[60])/2 - 30*t[61] - 
       (61*t[62])/2 + (795*t[63])/4 - (265*t[64])/2 - (85*t[65])/6 + 
       (137*t[66])/4 + (3*t[67])/2 + 11*t[69] + 15*t[74] + 28*t[76] - 
       36*t[78] - 21*t[79] - 66*t[80] - 15*t[81] - t[82] - (21*t[83])/2 - 
       (5*t[84])/4 + (39*t[85])/4 - 68*t[86] - (249*t[87])/4 - 
       (249*t[88])/8 - 71*t[89] - (3*t[94])/2 + (189*t[100])/2) + 
     HPL[{0, 1}, 1 - u]*Qep[v, u, w]*((64*t[1])/3 - 40*t[2] + 70*t[3] + 
       92*t[4] + (967*t[5])/3 - (172*t[6])/3 - (982*t[7])/3 + (14*t[8])/3 - 
       613*t[9] - (70*t[10])/3 - (334*t[11])/3 - (631*t[12])/3 - 
       (532*t[13])/27 - 369*t[14] + (2485*t[15])/18 + (16*t[22])/3 + 
       (64*t[27])/3 - (64*t[29])/3 + (32*t[30])/3 - (128*t[31])/3 - 
       (64*t[32])/3 + (64*t[33])/3 - (256*t[34])/3 - (256*t[35])/3 + 
       (64*t[37])/3 + (64*t[38])/3 - (64*t[39])/3 + (160*t[40])/3 - 
       (8*t[41])/3 + (8*t[42])/3 + (164*t[43])/3 - (40*t[45])/3 + 
       (80*t[46])/3 - (80*t[47])/3 + 20*t[48] - (124*t[49])/3 - 12*t[50] + 
       (50*t[51])/3 - 52*t[52] + (124*t[53])/3 - 44*t[54] + (40*t[59])/3 - 
       (656*t[60])/3 - (2032*t[61])/3 + (1984*t[62])/3 - (1192*t[63])/3 + 
       216*t[64] - (1196*t[65])/9 + (3692*t[66])/9 + (64*t[69])/3 + 
       (64*t[73])/3 + (128*t[74])/3 - (64*t[75])/3 - (224*t[76])/3 - 
       (80*t[77])/3 + (128*t[78])/3 + (448*t[80])/3 - (128*t[81])/3 + 
       64*t[82] - 32*t[83] + 32*t[84] - (368*t[85])/3 - (256*t[86])/3 + 
       (592*t[87])/3 + (296*t[88])/3 + (136*t[89])/3 - (32*t[97])/3 - 
       704*t[98] + 704*t[99] + 96*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((-67*t[1])/12 - (29*t[2])/4 + 
       (661*t[3])/24 - (215*t[4])/3 + (2053*t[5])/48 - (191*t[6])/6 - 
       9*t[7] - (775*t[8])/12 - (1129*t[9])/16 + 33*t[10] - (2023*t[11])/24 + 
       (149*t[12])/16 - (3983*t[13])/72 - (5381*t[14])/144 + 
       (3809*t[15])/288 - t[17]/6 + (2*t[18])/9 + 3*t[19] - 2*t[21] - 
       (4*t[22])/3 + (8*t[23])/3 + (5*t[24])/3 - (4*t[25])/3 + (4*t[26])/3 - 
       (2*t[27])/3 + 3*t[28] - 2*t[30] + 15*t[31] - t[32] + t[33] - 
       (29*t[34])/6 + 7*t[35] + 2*t[37] + t[38]/3 + t[39] + (7*t[40])/2 + 
       (11*t[41])/12 - (11*t[42])/12 + (79*t[43])/8 + (20*t[44])/3 + 
       (319*t[45])/12 + (53*t[46])/6 - (299*t[47])/6 - (5*t[48])/2 - 
       (47*t[49])/12 - (25*t[50])/3 - (19*t[51])/12 + (31*t[52])/6 + 
       (47*t[53])/12 + (27*t[54])/2 - (2*t[58])/3 - (5*t[59])/3 - 
       (1247*t[60])/24 - (3109*t[61])/24 + (397*t[62])/6 + (229*t[63])/12 - 
       (1079*t[64])/16 + (575*t[65])/72 + (5897*t[66])/72 + t[67]/6 + 
       (7*t[70])/3 - (7*t[71])/3 + (5*t[74])/6 - (37*t[76])/6 - (2*t[77])/3 + 
       (4*t[78])/3 + (4*t[79])/3 - 42*t[80] - (95*t[81])/12 + (65*t[82])/12 + 
       (49*t[83])/6 - (20*t[84])/3 + (113*t[85])/24 - (33*t[86])/2 + 
       (93*t[87])/8 + (93*t[88])/16 + (101*t[89])/48 - t[94]/3 - t[97] - 
       32*t[98] + 24*t[99] + (195*t[100])/2) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((5*t[1])/3 - (169*t[2])/12 + (337*t[3])/8 - (143*t[4])/3 - 
       (137*t[5])/12 - (1457*t[6])/48 + (58*t[7])/3 - (62*t[8])/3 + 
       (77*t[9])/8 + (15*t[10])/2 - (481*t[11])/16 + (15*t[12])/2 - 
       (4253*t[13])/108 - (597*t[14])/16 - (1471*t[15])/54 + t[18] - t[22] - 
       10*t[28] - (29*t[29])/6 - (20*t[30])/3 - t[31] + (91*t[32])/6 - 
       (28*t[33])/3 - (11*t[34])/3 + 16*t[35] + 6*t[36] + (5*t[37])/3 + 
       (3*t[38])/2 + t[39]/3 + (11*t[41])/6 - (11*t[42])/6 + (10*t[43])/3 + 
       (11*t[44])/4 + (25*t[45])/6 + t[46]/2 - (3*t[47])/2 - (455*t[48])/48 - 
       (35*t[49])/6 + (425*t[50])/48 + (97*t[51])/24 - (115*t[52])/16 + 
       (35*t[53])/6 - (67*t[54])/16 - (5*t[59])/12 - (721*t[60])/24 - 
       (1709*t[61])/24 - (1415*t[62])/16 - (1535*t[63])/48 + 
       (5447*t[64])/48 + (1865*t[65])/72 + (2335*t[66])/72 - t[67]/6 + 
       t[70] - t[71] + 4*t[72] - 11*t[74] - t[75] - (13*t[76])/3 - 
       (22*t[77])/3 - (55*t[78])/6 - 3*t[79] + (34*t[80])/3 - (25*t[81])/3 + 
       (17*t[82])/3 + (61*t[83])/2 - (91*t[84])/8 - (79*t[85])/24 + 
       (352*t[86])/3 + (1273*t[87])/24 + (1385*t[88])/48 - (289*t[89])/48 - 
       (8*t[95])/3 - (8*t[96])/3 + (5*t[97])/6 - 32*t[98] + 24*t[99] + 
       (595*t[100])/6) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]^2*
      (48*t[98] - 78*t[99] + (201*t[100])/2) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]^2*(-t[59] - (41*t[60])/2 - (375*t[61])/4 + 
       (39*t[62])/2 - (81*t[63])/2 + (59*t[64])/8 + (47*t[65])/3 + 
       (103*t[66])/3 + 3*t[69] - t[70] + t[71] - 4*t[72] + 4*t[76] + 
       2*t[77] - 15*t[78] - 2*t[80] + t[81] - 2*t[82] - (51*t[84])/4 + 
       (53*t[85])/4 + 5*t[86] + (17*t[87])/4 - (47*t[88])/8 + 15*t[89] + 
       t[96] - 2*t[97] + 48*t[98] - 78*t[99] + (201*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((27*t[2])/4 - (71*t[3])/8 - (65*t[4])/6 - (439*t[5])/24 + 
       (95*t[6])/6 - (139*t[7])/12 + (389*t[8])/12 + (881*t[9])/24 + 
       (7*t[10])/2 - (195*t[11])/4 - (157*t[12])/24 - (739*t[13])/54 - 
       (29*t[14])/8 - (1087*t[15])/216 + 13*t[28] + (10*t[29])/3 - 
       (25*t[30])/3 + (22*t[32])/3 + (4*t[33])/3 - (10*t[34])/3 + 
       (2*t[37])/3 + (4*t[38])/3 + (2*t[39])/3 + t[40]/6 - (2*t[41])/3 + 
       (2*t[42])/3 + t[43]/3 - (143*t[44])/12 + 5*t[45] - (13*t[47])/3 + 
       (23*t[48])/2 - (43*t[49])/6 - (14*t[50])/3 + (17*t[51])/4 + 
       (20*t[52])/3 + (19*t[53])/6 + (329*t[54])/12 - (7*t[59])/3 + 
       (535*t[60])/12 - (299*t[61])/4 + (95*t[62])/2 - (787*t[63])/12 - 
       (1373*t[64])/24 + (233*t[65])/6 + (110*t[66])/3 + (4*t[70])/3 - 
       (4*t[71])/3 + (2*t[74])/3 + 15*t[75] - (25*t[76])/3 - (4*t[77])/3 + 
       (16*t[78])/3 - 5*t[79] - (22*t[80])/3 - (10*t[81])/3 + 2*t[82] - 
       14*t[83] + (167*t[84])/6 + (97*t[85])/6 - (23*t[86])/3 - 
       (31*t[87])/3 - t[88]/2 + (409*t[89])/12 - (4*t[95])/3 - 6*t[96] - 
       4*t[97] - 64*t[98] + 56*t[99] + (205*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((13*t[1])/6 - (25*t[2])/6 + (325*t[3])/24 - (227*t[4])/12 + 
       (2131*t[5])/48 - 15*t[6] - (139*t[7])/6 - (59*t[8])/3 - 
       (1123*t[9])/16 + (191*t[10])/12 - (457*t[11])/12 - (1639*t[12])/48 - 
       (1967*t[13])/432 - (4489*t[14])/144 + (1531*t[15])/288 + (4*t[17])/3 - 
       2*t[18] + (2*t[21])/3 + t[22] - (2*t[23])/3 - (11*t[24])/3 + 
       (2*t[27])/3 - (4*t[28])/3 - (2*t[29])/3 + (8*t[30])/3 - t[31] - 
       (2*t[32])/3 + (2*t[33])/3 - (16*t[34])/3 - 8*t[35] + 4*t[37] + 
       (2*t[38])/3 - (4*t[39])/3 + (5*t[40])/3 - (5*t[41])/2 + (17*t[42])/6 + 
       (353*t[43])/24 + (2*t[44])/3 + (101*t[45])/12 - (11*t[46])/6 - 
       (61*t[47])/6 + (59*t[48])/24 + t[49]/4 - (7*t[50])/8 + (25*t[51])/12 + 
       (37*t[52])/24 - t[53]/4 - (19*t[54])/24 + 2*t[59] - (947*t[60])/12 - 
       (601*t[61])/12 + (345*t[62])/8 + (697*t[63])/24 + (739*t[64])/8 - 
       (244*t[65])/3 + (362*t[66])/9 - 4*t[67] - 11*t[69] + (5*t[70])/3 - 
       (5*t[71])/3 + 2*t[72] - (40*t[74])/3 + 4*t[75] - (23*t[76])/3 - 
       5*t[77] + 4*t[78] - (61*t[80])/3 - (19*t[81])/3 + (91*t[82])/6 - 
       3*t[83] - (29*t[84])/12 - (119*t[85])/12 - (86*t[86])/3 + 
       (397*t[87])/12 + (397*t[88])/24 - (521*t[89])/24 + (4*t[94])/3 - 
       t[97]/3 - 60*t[98] + 36*t[99] + 103*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*((-1057*t[1])/24 - 
       (881*t[2])/24 - (4709*t[3])/48 + (567*t[4])/4 - (9727*t[5])/96 - 
       (3601*t[6])/48 - (433*t[7])/3 + (389*t[8])/3 + (7201*t[9])/96 + 
       (15799*t[10])/48 + (1323*t[11])/16 + (11773*t[12])/96 + 
       (3057*t[13])/32 + (2093*t[14])/24 - (9571*t[15])/576 - (9*t[18])/2 - 
       6*t[19] + 17*t[21] + 20*t[22] - (85*t[23])/6 - 4*t[24] + 28*t[25] - 
       (93*t[26])/4 + 11*t[27] + 3*t[31] - (19*t[32])/2 + (9*t[33])/2 - 
       (85*t[34])/12 - 36*t[35] + 6*t[37] - (13*t[38])/3 - (9*t[39])/2 + 
       15*t[40] + (105*t[41])/8 - (109*t[42])/8 - (1157*t[43])/48 - 2*t[44] - 
       (631*t[45])/24 - (61*t[46])/6 + (533*t[47])/12 - (159*t[48])/8 + 
       (2425*t[49])/48 - (893*t[50])/24 - (3889*t[51])/96 + (487*t[52])/24 - 
       (2425*t[53])/48 - 39*t[54] - (25*t[58])/12 - (923*t[59])/24 - 
       (2573*t[60])/24 - (1865*t[61])/12 + (3199*t[62])/48 - 
       (28643*t[63])/48 - (1364*t[64])/3 + (209*t[65])/18 - (121*t[66])/9 - 
       (3*t[68])/2 - 3*t[69] + (5*t[70])/2 - (5*t[71])/2 + (45*t[72])/2 - 
       12*t[73] - (47*t[74])/6 + (9*t[75])/2 - (887*t[76])/12 - 5*t[77] - 
       (83*t[78])/2 + (15*t[79])/2 + (203*t[80])/3 - (331*t[81])/12 + 
       (245*t[82])/6 + (559*t[83])/4 - (481*t[84])/6 - (161*t[85])/3 - 
       (2617*t[86])/12 + (515*t[87])/4 + (515*t[88])/8 - (4939*t[89])/48 - 
       (53*t[97])/4 - 420*t[98] + 435*t[99] + (207*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((37*t[1])/12 + (11*t[2])/2 - 65*t[3] - (147*t[4])/8 - (2477*t[5])/24 + 
       (5161*t[6])/32 + (133*t[7])/24 + (7685*t[8])/24 + (7081*t[9])/48 - 
       (627*t[10])/16 + (439*t[11])/32 + (3415*t[12])/48 + 
       (16021*t[13])/216 + (17759*t[14])/144 + (23179*t[15])/864 + 24*t[19] - 
       21*t[20] + 6*t[22] - (11*t[23])/3 - 3*t[28] + (176*t[29])/3 + 
       9*t[30] + (3*t[31])/2 + (139*t[32])/12 - t[33]/6 - (103*t[34])/3 - 
       36*t[35] + 48*t[36] - 17*t[37] + (21*t[38])/4 + (155*t[39])/12 - 
       t[40]/2 + (41*t[41])/3 - (41*t[42])/3 + 2*t[43] - (513*t[44])/8 + 
       (29*t[45])/3 - (19*t[47])/6 + (15721*t[48])/96 - (3907*t[49])/48 - 
       (2719*t[50])/96 + (2287*t[51])/96 + (2495*t[52])/96 + 
       (4147*t[53])/48 + (14431*t[54])/96 + (8*t[59])/3 - (5131*t[60])/48 + 
       (4855*t[61])/48 - (129*t[62])/32 - (14365*t[63])/96 - (839*t[64])/32 + 
       (11033*t[65])/48 + (771*t[66])/16 - 9*t[68] - 21*t[69] + 4*t[70] - 
       4*t[71] + (9*t[72])/2 + 39*t[73] + (31*t[74])/3 + 84*t[75] + 
       (119*t[76])/6 - (7*t[77])/6 - 30*t[78] + (27*t[79])/2 + (85*t[80])/3 + 
       (7*t[81])/6 + (41*t[82])/2 + 30*t[83] + (351*t[84])/16 - 
       (1471*t[85])/48 - (23*t[86])/2 + (3317*t[87])/48 + (1375*t[88])/32 + 
       (2885*t[89])/32 - (26*t[95])/3 - (23*t[96])/6 - t[97]/3 - 420*t[98] + 
       435*t[99] + (207*t[100])/2) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-33*t[3])/4 + (9*t[5])/8 - 18*t[6] + 
       (87*t[7])/4 - (135*t[8])/4 - (177*t[9])/8 + (9*t[10])/4 + 
       (63*t[11])/4 - (9*t[12])/8 - 4*t[13] - (437*t[14])/24 + 
       (197*t[15])/16 - 4*t[18] + (9*t[22])/2 - 24*t[28] - 4*t[29] + 
       24*t[30] + 24*t[44] - 30*t[48] + 18*t[50] - 18*t[52] - 18*t[54] - 
       39*t[60] + 35*t[61] - 9*t[62] + 90*t[63] + 12*t[64] - (109*t[65])/6 + 
       (49*t[66])/2 - 24*t[73] + 60*t[83] - 12*t[84] - 12*t[85] + 48*t[87] + 
       24*t[88] - 18*t[89] - 12*t[99] + 108*t[100]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*((-57*t[3])/4 + 20*t[4] - 
       (21*t[5])/2 + (347*t[6])/8 + (57*t[7])/2 - (15*t[8])/2 + (51*t[9])/4 - 
       58*t[10] + (133*t[11])/8 - 4*t[12] - (11*t[13])/6 + (1321*t[14])/24 + 
       (23*t[15])/3 + 8*t[19] - 2*t[23] + 24*t[31] + 12*t[43] - 
       (87*t[48])/8 - 2*t[49] - (87*t[50])/8 + t[51] + (87*t[52])/8 + 
       2*t[53] + (155*t[54])/8 - 2*t[59] + (219*t[60])/4 + (391*t[61])/4 + 
       (737*t[62])/8 + (1391*t[63])/8 - (941*t[64])/8 - (1669*t[65])/12 - 
       (293*t[66])/4 + 4*t[67] - 24*t[74] - 93*t[79] - 30*t[80] - 5*t[81] + 
       11*t[82] + 28*t[83] - (47*t[84])/4 + (259*t[85])/4 - 83*t[86] - 
       (147*t[87])/4 - (147*t[88])/8 + (173*t[89])/8 - 12*t[99] + 
       108*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-23*t[1])/3 + (11*t[2])/3 - (227*t[3])/6 - 
       (79*t[4])/2 + (41*t[5])/12 + (43*t[6])/3 + (115*t[7])/2 - 
       (83*t[8])/6 + (265*t[9])/4 + (15*t[10])/4 - (145*t[11])/6 + 
       (197*t[12])/6 - (217*t[13])/6 + (3583*t[14])/72 + (4859*t[15])/216 - 
       2*t[19] + 2*t[20] - 2*t[22] - (31*t[29])/3 + (5*t[30])/3 + 
       (14*t[31])/3 - t[32] + t[33] + (64*t[34])/3 + 4*t[36] + 12*t[37] - 
       (16*t[38])/3 - (13*t[39])/3 - (11*t[40])/3 - t[41] + t[42] + 
       (7*t[43])/3 + (22*t[44])/3 - (56*t[45])/3 + (40*t[47])/3 - 
       (25*t[48])/3 + (41*t[49])/12 + 15*t[50] - (137*t[51])/24 - 
       (13*t[52])/3 - (41*t[53])/12 + (31*t[54])/6 + (4*t[59])/3 - 
       (64*t[60])/3 - 59*t[61] + (431*t[62])/12 + (555*t[63])/4 - 
       (191*t[64])/3 + (565*t[65])/18 + (460*t[66])/3 + 12*t[69] - 16*t[72] + 
       4*t[74] + (56*t[76])/3 + (8*t[77])/3 - (32*t[78])/3 - 8*t[79] + 
       (4*t[81])/3 + (26*t[82])/3 + 4*t[83] - (55*t[84])/6 + (61*t[85])/6 - 
       (80*t[86])/3 - (27*t[87])/2 - (27*t[88])/4 - (67*t[89])/6 + 
       (8*t[97])/3 + 104*t[98] - 104*t[99] + 115*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-11*t[1])/6 - (5*t[2])/6 - (55*t[3])/6 - (47*t[4])/3 - (31*t[5])/4 - 
       (5*t[6])/4 + (103*t[7])/12 - (7*t[8])/12 + (301*t[9])/12 + 
       (185*t[10])/4 + (32*t[11])/3 + (197*t[12])/12 + (3433*t[13])/216 + 
       (109*t[14])/12 + (13*t[15])/6 + 4*t[22] - 2*t[25] - t[26] - 
       (2*t[27])/3 - (8*t[28])/3 + (14*t[29])/3 + (16*t[30])/3 + 4*t[31] - 
       (4*t[32])/3 + (4*t[33])/3 + (11*t[34])/3 - 2*t[37] + (4*t[38])/3 - 
       (8*t[39])/3 + (7*t[40])/3 + (11*t[41])/6 - (11*t[42])/6 - 
       (95*t[43])/12 + (4*t[44])/3 - (31*t[45])/6 - 2*t[46] + 18*t[47] - 
       (41*t[48])/3 + (17*t[49])/3 + t[50] - t[51]/2 - 4*t[52] - 
       (17*t[53])/3 - 6*t[54] - t[58] - t[59] + (76*t[60])/3 + (92*t[61])/3 - 
       (175*t[62])/6 + (172*t[63])/3 - 20*t[64] + (181*t[65])/18 + 
       (185*t[66])/18 - 2*t[69] - 6*t[73] - 4*t[74] + 6*t[75] + 
       (28*t[76])/3 - (16*t[78])/3 - (28*t[80])/3 + 3*t[81] - t[82] + t[83] - 
       (13*t[84])/2 + (29*t[85])/3 - 12*t[86] - (70*t[87])/3 - (35*t[88])/3 - 
       (21*t[89])/2 + (4*t[97])/3 + 52*t[98] - 52*t[99] + (231*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-3*t[1] + (5*t[2])/6 + (221*t[3])/12 - (39*t[4])/4 + (127*t[5])/24 - 
       (76*t[6])/3 - (227*t[7])/8 - (257*t[8])/24 - (493*t[9])/12 + 
       (31*t[10])/4 - (1627*t[11])/24 - (25*t[12])/6 - (2551*t[13])/144 - 
       (11135*t[14])/144 - (223*t[15])/24 + t[17]/6 - 2*t[18] - (4*t[21])/3 - 
       (4*t[22])/3 + 2*t[23] - 2*t[24] - (4*t[25])/3 + (7*t[26])/3 + 
       (4*t[27])/3 - 4*t[31] + (4*t[32])/3 - (4*t[33])/3 - (26*t[34])/3 + 
       t[35] + 2*t[37] + (4*t[38])/3 + (4*t[39])/3 - 2*t[41] + t[42]/3 + 
       t[43]/24 + (2*t[44])/3 + (67*t[45])/12 + t[46]/2 - (33*t[47])/2 + 
       (43*t[48])/8 - (65*t[49])/24 + (217*t[50])/24 + (55*t[51])/48 - 
       (281*t[52])/24 + (65*t[53])/24 - (95*t[54])/24 + t[58]/3 - 
       (9*t[59])/2 - (193*t[60])/3 - (1193*t[61])/6 + (355*t[62])/6 - 
       (581*t[63])/12 - (71*t[64])/3 + (385*t[65])/18 + (5281*t[66])/36 + 
       t[67]/3 + 3*t[69] + (8*t[70])/3 - (8*t[71])/3 - 8*t[74] - 10*t[76] + 
       (8*t[78])/3 + 5*t[79] - (43*t[80])/3 - (50*t[81])/3 + (52*t[82])/3 + 
       (83*t[83])/6 - t[84]/12 - (319*t[85])/12 + (116*t[86])/3 + 
       (175*t[87])/4 + (175*t[88])/8 + (193*t[89])/12 - t[94]/3 - 
       (8*t[97])/3 - 64*t[98] + 56*t[99] + (235*t[100])/2) + 
     HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u]*(3*t[1] + 2*t[2] + (283*t[3])/8 + 
       (409*t[4])/4 - (2397*t[5])/16 - (73*t[6])/2 + (961*t[7])/8 - 
       (1471*t[8])/8 + (3257*t[9])/16 - (211*t[10])/2 - (71*t[11])/2 - 
       (117*t[12])/16 - (2717*t[13])/144 - (385*t[14])/4 - (5095*t[15])/96 + 
       5*t[22] + 12*t[27] - 14*t[28] + 26*t[29] - 38*t[30] - 9*t[31] + 
       6*t[32] - 6*t[33] + 16*t[35] - 30*t[36] + 8*t[39] + 6*t[40] - 
       10*t[41] + 10*t[42] - 22*t[43] + 47*t[44] - (97*t[45])/4 + 10*t[46] + 
       (119*t[47])/2 - (313*t[48])/8 - (147*t[49])/8 + (363*t[50])/8 + 
       (319*t[51])/16 - (363*t[52])/8 + (147*t[53])/8 + (259*t[54])/8 + 
       t[56]/2 - 6*t[57] - 7*t[59] + (13*t[60])/2 - (527*t[61])/4 + 
       (619*t[62])/8 - (419*t[63])/8 - (507*t[64])/8 - (97*t[65])/12 + 
       (1609*t[66])/12 - 17*t[77] - 41*t[80] - 6*t[82] + (79*t[86])/2 + 
       (47*t[89])/2 - 48*t[98] + 72*t[99] + 118*t[100]) + 
     HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - v]*(30*t[1] + 45*t[2] - (305*t[3])/4 - 
       (813*t[4])/4 + (1155*t[5])/8 + (1173*t[6])/16 - (489*t[7])/4 + 
       (447*t[8])/2 - (265*t[9])/2 + (1757*t[10])/8 - (1829*t[11])/16 - 
       (285*t[12])/4 - (1211*t[13])/24 + (217*t[14])/4 + (6749*t[15])/72 - 
       2*t[16] - 34*t[25] + 22*t[26] + 7*t[27] + 16*t[28] - 7*t[29] - 
       14*t[30] - 38*t[31] - 10*t[32] + 10*t[33] + 24*t[34] - 60*t[35] + 
       20*t[36] - 30*t[37] + 12*t[38] + 7*t[40] + (79*t[43])/2 - 44*t[44] + 
       (51*t[45])/2 + 17*t[46] - 57*t[47] + (535*t[48])/16 - (671*t[49])/8 - 
       (717*t[50])/16 + (333*t[51])/16 + (717*t[52])/16 + (719*t[53])/8 + 
       (1797*t[54])/16 - (33*t[59])/2 - (385*t[60])/4 + (49*t[61])/4 + 
       (1263*t[62])/8 - (1963*t[63])/8 - (193*t[64])/8 + (3509*t[65])/12 + 
       (1361*t[66])/12 + t[67] + 7*t[68] - 12*t[70] + 12*t[71] + 45*t[72] - 
       46*t[73] - 4*t[74] + 118*t[75] - (79*t[76])/2 + 11*t[77] - 6*t[78] + 
       16*t[79] + 196*t[80] + 28*t[81] + 33*t[82] - 104*t[83] - 
       (79*t[84])/4 - (325*t[85])/4 - 232*t[86] + (931*t[87])/4 + 
       (931*t[88])/8 + (741*t[89])/8 - t[91]/6 + t[92] + 2*t[93] - t[94] - 
       6*t[97] - 48*t[98] + 72*t[99] + 118*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((17*t[1])/3 - (13*t[2])/3 + (58*t[3])/3 + (179*t[4])/6 + 
       (227*t[5])/4 - (53*t[6])/4 - (1217*t[7])/12 - (415*t[8])/12 - 
       (401*t[9])/3 - 31*t[10] - (641*t[11])/6 - (187*t[12])/3 - 
       (14909*t[13])/216 - (1825*t[14])/24 + (263*t[15])/9 + 2*t[22] + 
       (4*t[27])/3 + (16*t[28])/3 - (4*t[29])/3 + (4*t[30])/3 - 20*t[31] - 
       (10*t[32])/3 + (4*t[33])/3 - (16*t[34])/3 - 28*t[35] + 10*t[37] + 
       (4*t[38])/3 + (4*t[39])/3 + (10*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 + 
       (193*t[43])/12 - (14*t[44])/3 - (73*t[45])/6 + 7*t[46] - 31*t[47] + 
       (58*t[48])/3 - (91*t[49])/12 + 2*t[50] - (9*t[51])/8 - 6*t[52] + 
       (91*t[53])/12 + (11*t[54])/2 + 9*t[59] - (421*t[60])/6 - 
       (1379*t[61])/6 + (3445*t[62])/12 - (5*t[63])/12 - (109*t[64])/4 - 
       (1601*t[65])/18 + (4157*t[66])/18 + 10*t[69] + 20*t[74] - 
       (14*t[76])/3 - 4*t[77] + (8*t[78])/3 + (116*t[80])/3 - 12*t[81] + 
       16*t[82] - 5*t[83] + t[84]/2 - (257*t[85])/6 - 102*t[86] + 
       (271*t[87])/6 + (271*t[88])/12 - (65*t[89])/4 - (2*t[97])/3 - 
       80*t[98] + 68*t[99] + 122*t[100]) + HPL[{0, 1}, 1 - u]*Qep[v, w, u]*
      ((-32*t[1])/3 + (32*t[2])/3 - (158*t[3])/3 - (116*t[4])/3 - 
       (253*t[5])/3 + (148*t[6])/3 + (650*t[7])/3 + 138*t[8] + (601*t[9])/3 + 
       (454*t[10])/3 + 302*t[11] + 123*t[12] + (2128*t[13])/9 + 
       (287*t[14])/3 - (583*t[15])/18 - (16*t[22])/3 - (128*t[28])/3 + 
       (32*t[30])/3 + (128*t[31])/3 + (64*t[35])/3 - (64*t[37])/3 - 
       (64*t[39])/3 + 8*t[41] - 8*t[42] - (100*t[43])/3 + (64*t[44])/3 + 
       (8*t[45])/3 - (32*t[46])/3 + (368*t[47])/3 - (188*t[48])/3 + 
       16*t[49] + 12*t[50] + (16*t[51])/3 - 12*t[52] - 16*t[53] - 44*t[54] - 
       (40*t[59])/3 + 88*t[60] + 456*t[61] - 556*t[62] - (76*t[63])/3 + 
       164*t[64] + (2116*t[65])/9 - (4948*t[66])/9 - (64*t[69])/3 + 
       (32*t[73])/3 - (128*t[74])/3 - (32*t[75])/3 - (16*t[77])/3 - 
       (128*t[80])/3 + (80*t[81])/3 - 32*t[82] + (280*t[85])/3 + 
       (544*t[86])/3 - (248*t[87])/3 - (124*t[88])/3 + (116*t[89])/3 + 
       128*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*(t[1] - 7*t[2] - (187*t[3])/8 + (37*t[4])/2 - 
       (81*t[5])/4 + (249*t[6])/16 + 31*t[7] + 81*t[8] + (131*t[9])/8 - 
       (17*t[10])/4 + (175*t[11])/16 + 3*t[12] + (215*t[13])/72 + 
       (507*t[14])/16 + (917*t[15])/72 + (9*t[30])/2 + 2*t[31] + 
       (5*t[32])/2 - (5*t[33])/2 - t[34] + 2*t[37] + t[38] + (5*t[39])/2 - 
       (3*t[40])/2 + t[41] - t[42] + t[43] - 6*t[44] + 2*t[47] + 
       (271*t[48])/16 + (13*t[49])/4 - (73*t[50])/16 - (5*t[51])/8 + 
       (41*t[52])/16 + (3*t[53])/4 + (297*t[54])/16 - (3*t[59])/2 - 
       (167*t[60])/8 - (325*t[61])/8 - (347*t[62])/24 - (1711*t[63])/24 + 
       (449*t[64])/48 + (116*t[65])/9 + (8675*t[66])/72 + t[67]/2 + 8*t[69] - 
       5*t[72] + 6*t[74] + 2*t[75] + 2*t[76] + t[77]/2 + 13*t[78] - 
       37*t[79] - 11*t[80] - (13*t[81])/2 + (15*t[82])/2 + (16*t[83])/3 - 
       (445*t[84])/24 + (61*t[85])/24 + (197*t[86])/3 + (541*t[87])/24 + 
       (541*t[88])/48 + (1199*t[89])/48 - t[94]/2 + 3*t[96] + 2*t[97] + 
       24*t[98] - 24*t[99] + (263*t[100])/2) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((7*t[1])/24 - (41*t[2])/24 - 
       (787*t[3])/48 - (323*t[4])/24 - (121*t[5])/48 - (1285*t[6])/48 + 
       (643*t[7])/16 - (1753*t[8])/48 + (17*t[9])/24 - (641*t[10])/24 + 
       (17*t[11])/12 - (7*t[12])/4 - (5591*t[13])/288 - (7657*t[14])/288 + 
       (293*t[15])/864 + t[17]/12 + 2*t[20] - t[22]/2 + t[23]/2 - t[24]/3 + 
       t[25]/2 - t[26]/2 + (5*t[27])/6 - (11*t[28])/2 + (29*t[29])/4 + 
       (28*t[30])/3 - (10*t[31])/3 + (11*t[32])/4 - (11*t[33])/2 - 
       (7*t[34])/12 + 4*t[35] + 6*t[36] + 3*t[37] + (19*t[38])/12 - 
       (43*t[39])/6 + (91*t[40])/12 - (9*t[41])/8 + (7*t[42])/8 + 
       (265*t[43])/48 + (73*t[44])/8 - (17*t[45])/24 + (5*t[46])/12 + 
       (17*t[47])/12 + (5*t[48])/8 - (63*t[49])/16 + (383*t[50])/24 + 
       (275*t[51])/96 - (545*t[52])/24 + (205*t[53])/48 - (31*t[54])/8 - 
       t[59] - (383*t[60])/8 - (785*t[61])/24 + 15*t[62] + (65*t[63])/12 + 
       (1277*t[64])/16 - (76*t[65])/9 + (599*t[66])/9 - t[68]/6 + 3*t[69] - 
       t[70] + t[71] - 4*t[72] + t[73] - (3*t[74])/2 + 12*t[75] - 
       (11*t[76])/3 - (41*t[77])/6 + (77*t[78])/6 - 11*t[79] + 15*t[80] - 
       (43*t[81])/6 + (17*t[82])/2 - (23*t[83])/2 - (37*t[84])/6 + 
       (55*t[85])/12 + (203*t[86])/6 + (171*t[87])/4 + (379*t[88])/24 + 
       (97*t[89])/12 + t[95] + t[96] - (7*t[97])/6 + 22*t[98] - 44*t[99] + 
       (400*t[100])/3) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((33*t[1])/8 - (167*t[2])/24 + (175*t[3])/48 - 
       (293*t[4])/6 + (907*t[5])/24 - (71*t[6])/48 + (389*t[7])/48 + 
       (525*t[8])/16 - (2683*t[9])/48 + (1975*t[10])/48 - (251*t[11])/12 - 
       (41*t[12])/24 - (5009*t[13])/288 - (3715*t[14])/72 + (775*t[15])/36 + 
       t[16]/6 - t[17]/12 + t[18] - t[19]/2 - t[21] + (29*t[22])/3 + t[23] + 
       (4*t[24])/3 - (11*t[25])/6 + (7*t[26])/3 + (13*t[27])/2 - 
       (19*t[28])/3 - (41*t[29])/12 + (11*t[30])/3 + (7*t[31])/2 + 
       (35*t[32])/12 - (11*t[33])/6 - (67*t[34])/12 - 3*t[35] + 
       (11*t[36])/6 + (3*t[37])/2 + (19*t[38])/12 - (5*t[39])/6 + 
       (13*t[40])/12 - (31*t[41])/24 + (11*t[42])/8 - (185*t[43])/48 + 
       (205*t[44])/24 + (257*t[45])/24 + (31*t[46])/4 - (67*t[47])/12 - 
       (163*t[48])/24 - (319*t[49])/24 + (81*t[50])/8 + 4*t[51] - 
       (317*t[52])/24 + (319*t[53])/24 - (34*t[54])/3 + t[56]/6 + 
       (2*t[57])/3 - (7*t[59])/2 - (218*t[60])/3 - (7649*t[61])/72 + 
       (1997*t[62])/72 - (557*t[63])/6 + (719*t[64])/24 + (16723*t[65])/216 + 
       (17869*t[66])/108 - t[67]/6 - t[68]/3 - 2*t[70] + 2*t[71] - t[72] + 
       2*t[73] + (31*t[74])/6 + (7*t[75])/2 + (13*t[76])/3 - (11*t[77])/6 - 
       (23*t[78])/6 - (83*t[79])/24 + (37*t[80])/6 - (61*t[81])/6 + 
       (83*t[82])/6 - (83*t[83])/18 - (79*t[84])/72 - (593*t[85])/72 + 
       (4043*t[86])/72 + (2723*t[87])/72 + (2831*t[88])/144 + (20*t[89])/3 - 
       t[92]/6 + t[94]/6 - t[95] - (2*t[97])/3 + 22*t[98] - 44*t[99] + 
       (805*t[100])/6) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      (-2*t[1] + 5*t[2] - (69*t[3])/8 - (57*t[4])/4 + (639*t[5])/16 + 
       (189*t[6])/8 - (117*t[7])/4 + 39*t[8] - (745*t[9])/16 + 
       (261*t[10])/8 - 44*t[11] - (341*t[12])/16 - (1117*t[13])/72 + 
       (111*t[14])/8 - (71*t[15])/32 - 4*t[27] + 20*t[28] - 2*t[29] + 
       4*t[30] + 6*t[31] - 2*t[32] + 2*t[33] - 12*t[35] + 12*t[36] + 
       4*t[39] - 7*t[40] + t[41] - t[42] + (13*t[43])/8 - 9*t[44] + t[45]/2 - 
       5*t[46] - 3*t[47] + (213*t[48])/8 + (115*t[49])/8 - (119*t[50])/8 - 
       (139*t[51])/16 + (119*t[52])/8 - (115*t[53])/8 - (103*t[54])/8 + 
       2*t[57] - t[59] - (63*t[61])/4 + (67*t[62])/8 - (35*t[63])/8 - 
       (59*t[64])/8 - (13*t[65])/12 + (187*t[66])/12 - 2*t[77] - 3*t[80] + 
       (7*t[86])/2 + 2*t[89] - 72*t[99] + 142*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*(-13*t[1] - (21*t[2])/2 + 
       (177*t[3])/8 + (243*t[4])/4 - (491*t[5])/8 - (363*t[6])/16 + 
       (27*t[7])/2 - (13*t[8])/4 + (109*t[9])/4 - (503*t[10])/8 - 
       (221*t[11])/16 + (137*t[12])/4 - (121*t[13])/18 - (111*t[14])/4 - 
       (6883*t[15])/144 + 16*t[25] - 10*t[26] - 6*t[27] - 12*t[28] + 
       (11*t[29])/2 + 6*t[30] + 6*t[31] + 2*t[32] - 2*t[33] - 2*t[34] + 
       24*t[35] - 10*t[36] + 10*t[37] - 6*t[38] - 6*t[39] - (23*t[43])/2 + 
       (13*t[44])/4 - (29*t[45])/2 - 12*t[46] + 31*t[47] + (59*t[48])/16 + 
       (305*t[49])/8 + (15*t[50])/16 - (103*t[51])/16 - (15*t[52])/16 - 
       (321*t[53])/8 - (91*t[54])/16 + 14*t[59] - (235*t[60])/8 - 
       (6029*t[61])/24 - (7343*t[62])/48 + (709*t[63])/16 + (4009*t[64])/16 + 
       (583*t[65])/72 + (10763*t[66])/72 - 2*t[67] - 7*t[68] + 8*t[70] - 
       8*t[71] + 12*t[72] - 42*t[75] - 10*t[76] - 10*t[77] - t[78] + 
       16*t[79] - 109*t[80] - 16*t[81] - 6*t[82] + (248*t[83])/3 + 
       (749*t[84])/24 + (697*t[85])/24 + (1757*t[86])/6 - (2305*t[87])/24 - 
       (2305*t[88])/48 - (37*t[89])/16 - 2*t[92] + 4*t[93] + 2*t[94] + 
       7*t[97] - 72*t[99] + 142*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*(6*t[1] + (3*t[2])/2 + (291*t[3])/4 + 
       210*t[4] - (2257*t[5])/8 - (345*t[6])/4 + (789*t[7])/4 - 
       (1563*t[8])/4 + (2853*t[9])/8 - (975*t[10])/4 + t[11]/4 + 
       (265*t[12])/8 + (83*t[13])/8 - (5063*t[14])/24 - (4211*t[15])/48 + 
       24*t[27] - 48*t[28] + 36*t[29] - 66*t[30] - 18*t[31] + 12*t[32] - 
       12*t[33] + 36*t[35] - 60*t[36] + 6*t[39] + 16*t[40] - 24*t[41] + 
       24*t[42] - 48*t[43] + 72*t[44] - (123*t[45])/2 + 18*t[46] + 
       135*t[47] - (183*t[48])/2 - 51*t[49] + (207*t[50])/2 + 48*t[51] - 
       (207*t[52])/2 + 51*t[53] + (81*t[54])/2 - 12*t[57] - 18*t[59] + 
       3*t[60] - (563*t[61])/2 + (605*t[62])/4 - (329*t[63])/4 - 
       (557*t[64])/4 - (101*t[65])/6 + (563*t[66])/2 - 35*t[77] - 102*t[80] + 
       57*t[86] + 38*t[89] + 144*t[98] - 144*t[99] + 144*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*(60*t[1] + 99*t[2] - 
       (363*t[3])/2 - 312*t[4] + (607*t[5])/2 + (1465*t[6])/8 - 234*t[7] + 
       (909*t[8])/2 - (875*t[9])/4 + (843*t[10])/2 - (1153*t[11])/8 - 
       201*t[12] - (247*t[13])/12 + (1313*t[14])/8 + (4523*t[15])/24 - 
       72*t[25] + 48*t[26] + 18*t[27] + 36*t[28] - 12*t[29] - 36*t[30] - 
       70*t[31] - 12*t[32] + 12*t[33] + 48*t[34] - 120*t[35] + 36*t[36] - 
       60*t[37] + 24*t[38] + 12*t[39] + 6*t[40] + 78*t[43] - 96*t[44] + 
       51*t[45] + 30*t[46] - 114*t[47] + (539*t[48])/8 - (267*t[49])/2 - 
       (793*t[50])/8 + (57*t[51])/2 + (793*t[52])/8 + (291*t[53])/2 + 
       (1429*t[54])/8 - 57*t[59] - 170*t[60] + 167*t[61] + (649*t[62])/2 - 
       (1009*t[63])/2 - 494*t[64] + (3203*t[65])/6 + (731*t[66])/6 + 
       6*t[67] + 18*t[68] - 24*t[70] + 24*t[71] + 60*t[72] - 60*t[73] + 
       192*t[75] - 57*t[76] + 78*t[77] - 171*t[78] + 6*t[79] + 456*t[80] + 
       24*t[81] + 111*t[82] - 246*t[83] - (69*t[84])/2 - 113*t[85] - 
       534*t[86] + 371*t[87] + (371*t[88])/2 + (367*t[89])/2 - t[91] + 
       6*t[92] - 6*t[94] - 12*t[97] + 144*t[98] - 144*t[99] + 144*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      (-48*t[98] + 4*t[99] + 144*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*(-2*t[10] + (4*t[13])/3 - 
       3*t[14] + (2*t[15])/3 - 2*t[49] + t[51] + 2*t[53] + 7*t[59] - 
       (183*t[60])/4 - (551*t[61])/4 + (27*t[62])/8 + (153*t[63])/8 + 
       (1543*t[64])/8 + (805*t[65])/12 + (1667*t[66])/12 - t[67] - 3*t[68] - 
       4*t[69] + 4*t[70] - 4*t[71] + 12*t[72] - 10*t[75] - 8*t[76] - 
       4*t[77] + 8*t[78] - 31*t[80] - 9*t[81] + 10*t[82] - 14*t[83] + 
       (13*t[84])/2 - 8*t[85] + (37*t[86])/2 + 19*t[87] + (19*t[88])/2 + 
       (161*t[89])/8 - t[92] + 2*t[93] + t[94] + t[97] - 48*t[98] + 4*t[99] + 
       144*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((39*t[1])/4 + 11*t[2] + (163*t[3])/8 - 
       (83*t[4])/4 + (201*t[5])/16 + (305*t[6])/8 - (13*t[7])/8 + 
       (379*t[8])/8 - (301*t[9])/16 - (193*t[10])/4 - (247*t[11])/8 - 
       (175*t[12])/16 - (1507*t[13])/48 - (1787*t[14])/24 - (2365*t[15])/96 - 
       2*t[16] - 7*t[25] + t[26]/2 - 2*t[27] - 5*t[28] - 2*t[30] - 17*t[31] + 
       t[32] - t[33] - t[34]/2 - 10*t[35] + 3*t[36] - t[37] + 6*t[38] - 
       5*t[39] - 4*t[40] + t[41]/4 - t[42]/4 - (29*t[43])/4 - 3*t[44] - 
       (37*t[45])/4 + (7*t[46])/2 + (39*t[47])/2 + (61*t[48])/4 + 
       (9*t[49])/8 + (61*t[50])/4 - (127*t[51])/16 - (3*t[52])/4 - 
       (27*t[53])/8 - (15*t[54])/4 + (5*t[58])/2 - (5*t[59])/4 - 
       (635*t[60])/8 - (2399*t[61])/24 + (733*t[62])/24 - (365*t[63])/24 + 
       (4819*t[64])/48 + (80*t[65])/3 + (867*t[66])/8 + t[68] + 2*t[69] - 
       24*t[72] + 3*t[73] - 4*t[74] - 19*t[75] - 15*t[76] - 3*t[77] - 
       (17*t[78])/2 + 26*t[79] - 18*t[80] - (23*t[81])/2 + (21*t[82])/2 + 
       (70*t[83])/3 - (37*t[84])/8 + (47*t[85])/8 + (25*t[86])/6 + 
       (1663*t[87])/24 + (1663*t[88])/48 + (1657*t[89])/48 - 3*t[93] - 
       3*t[96] - (3*t[97])/2 - 66*t[98] + 48*t[99] + 146*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-9*t[1])/2 + (35*t[2])/4 - 11*t[3] - (17*t[4])/2 - (249*t[5])/8 + 
       (373*t[6])/16 - 30*t[7] - (11*t[8])/4 + 27*t[9] - (3*t[10])/2 - 
       (1121*t[11])/16 - (105*t[12])/8 + (46*t[13])/9 - (1015*t[14])/48 - 
       (137*t[15])/72 + 3*t[26] + 2*t[27] + 22*t[28] - 7*t[29] + 2*t[30] - 
       3*t[31] - t[32] + t[33] + 4*t[34] - 12*t[35] - 5*t[36] + t[37] - 
       (9*t[38])/2 + (5*t[39])/2 - (13*t[40])/2 - 2*t[41] + 2*t[42] - 
       (3*t[43])/2 + (17*t[44])/2 - 3*t[45] + t[46]/2 + 5*t[47] + 
       (67*t[48])/16 - (59*t[49])/4 + (167*t[50])/16 + 9*t[51] - 
       (7*t[52])/16 + (19*t[53])/4 + (225*t[54])/16 + t[58] - t[59] + 
       (177*t[60])/8 - (923*t[61])/8 + (1865*t[62])/16 - (633*t[63])/16 - 
       (631*t[64])/16 + (2315*t[65])/24 + (1729*t[66])/24 - t[72] + 
       21*t[73] - 23*t[75] - (39*t[76])/2 + 8*t[77] + (83*t[78])/2 - 
       16*t[79] - 10*t[80] + 8*t[81] - (25*t[82])/2 - 20*t[83] + 
       (295*t[84])/8 + (197*t[85])/8 - 44*t[86] + (225*t[87])/8 + 
       (225*t[88])/16 + (1111*t[89])/16 - 14*t[96] - 11*t[97] - 66*t[98] + 
       48*t[99] + 148*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*(t[1] - (125*t[2])/4 + (3*t[3])/2 - 
       (85*t[4])/4 + (325*t[5])/16 - (227*t[6])/16 - (149*t[7])/4 - 
       (71*t[8])/4 - (945*t[9])/16 + (179*t[10])/8 - (675*t[11])/16 - 
       (115*t[12])/16 - (607*t[13])/36 - (771*t[14])/16 - (461*t[15])/288 - 
       t[17]/2 - 2*t[20] - 2*t[21] + 6*t[22] + 2*t[23] - 2*t[24] + 4*t[27] - 
       8*t[28] - 7*t[29] - t[30]/4 + 2*t[31] + (17*t[32])/4 - (13*t[33])/4 - 
       5*t[34] + 14*t[35] - 2*t[36] + 2*t[37] + 2*t[38] - (21*t[39])/4 + 
       (25*t[40])/4 + t[43]/8 + t[44] + (25*t[45])/2 + (3*t[46])/2 - 
       9*t[47] + (11*t[48])/16 - (37*t[49])/8 - (161*t[50])/16 + 
       (35*t[51])/16 + (81*t[52])/16 + (37*t[53])/8 + (53*t[54])/16 + t[56] + 
       2*t[57] - (5*t[59])/4 - (695*t[60])/8 - (857*t[61])/8 + 
       (497*t[62])/24 - (305*t[63])/24 + (5863*t[64])/48 + (461*t[65])/18 + 
       (8023*t[66])/72 + t[68] + 2*t[69] - 24*t[72] + 3*t[73] - 6*t[74] - 
       19*t[75] - 15*t[76] - 3*t[77] - (17*t[78])/2 + 32*t[79] - 18*t[80] - 
       (25*t[81])/2 + (23*t[82])/2 + (77*t[83])/3 - (131*t[84])/24 + 
       (77*t[85])/24 + (155*t[86])/6 + (1775*t[87])/24 + (1775*t[88])/48 + 
       (1621*t[89])/48 - 3*t[93] - 3*t[96] - (3*t[97])/2 - 66*t[98] + 
       48*t[99] + 153*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*(t[1] - (35*t[2])/2 + (9*t[3])/2 - t[4]/2 + 
       (235*t[5])/16 + (77*t[6])/16 - (233*t[7])/8 - (481*t[8])/8 - 
       (581*t[9])/16 + 67*t[10] - (1027*t[11])/16 - (221*t[12])/16 - 
       (913*t[13])/36 - (471*t[14])/16 - (3125*t[15])/288 + t[17]/2 - 
       4*t[20] + 2*t[27] + (7*t[29])/2 + 10*t[30] + 6*t[31] + 3*t[32] - 
       6*t[34] + 2*t[35] + t[36] + 2*t[37] + 2*t[38] - t[39] + 4*t[40] + 
       3*t[41] - (5*t[42])/2 - t[43]/4 + (17*t[44])/4 + (27*t[45])/2 - 
       3*t[46] - (33*t[47])/2 + (39*t[48])/16 - (25*t[49])/8 - 
       (77*t[50])/16 + (33*t[51])/16 + (13*t[52])/16 + (25*t[53])/8 + 
       (9*t[54])/16 + 2*t[57] + t[59] - (125*t[60])/8 - (443*t[61])/8 + 
       (765*t[62])/16 + (643*t[63])/16 - (395*t[64])/16 - (329*t[65])/24 + 
       (2161*t[66])/24 - t[68] + 2*t[69] - 12*t[72] + 12*t[73] - 8*t[74] - 
       18*t[75] - 3*t[76] + (5*t[77])/2 + 2*t[78] + 10*t[79] - (73*t[80])/2 - 
       (5*t[81])/2 + (5*t[82])/4 - 12*t[83] - (79*t[84])/8 + (35*t[85])/8 - 
       52*t[86] + (133*t[87])/8 + (133*t[88])/16 + (275*t[89])/16 - t[93] - 
       t[97] - 66*t[98] + 48*t[99] + 154*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*((-5*t[1])/2 - 38*t[2] + 
       38*t[3] + (13*t[4])/4 + (39*t[5])/16 - (293*t[6])/4 + (451*t[7])/4 - 
       (287*t[8])/2 + (831*t[9])/16 + 57*t[10] + (271*t[11])/8 + 
       (397*t[12])/16 - (565*t[13])/36 - (365*t[14])/12 - (631*t[15])/96 + 
       t[17] - (38*t[19])/3 - 4*t[20] - 12*t[21] - 10*t[22] + 12*t[23] - 
       30*t[24] + 2*t[26] - 11*t[27] + (19*t[29])/2 - 12*t[30] + 16*t[31] - 
       19*t[32] - 8*t[33] - 7*t[34] - 12*t[35] + 4*t[36] + 12*t[37] - 
       4*t[39] + (11*t[40])/2 - (19*t[41])/2 + (19*t[42])/2 + (83*t[43])/8 - 
       (53*t[44])/4 - (19*t[45])/2 - 6*t[46] + 31*t[47] - 56*t[48] + 
       17*t[49] + 32*t[50] - (93*t[51])/16 - 43*t[52] - 17*t[53] - 79*t[54] - 
       t[55]/2 - 2*t[56] + 6*t[57] - t[59] + 19*t[60] - (617*t[61])/4 - 
       (329*t[62])/8 - (423*t[63])/8 - (301*t[64])/8 + (157*t[65])/4 - 
       (473*t[66])/12 - 4*t[68] - 4*t[70] + 4*t[71] - 10*t[72] + 28*t[73] - 
       46*t[74] - 62*t[75] - (51*t[76])/2 - 3*t[77] + 16*t[78] - 47*t[80] + 
       (27*t[81])/2 - 7*t[82] + 42*t[83] - (23*t[84])/2 + 53*t[85] + 
       (349*t[86])/2 - 23*t[87] - (61*t[88])/2 + (187*t[89])/4 + t[91]/6 + 
       4*t[95] + 4*t[96] - 4*t[97] - 24*t[98] - 24*t[99] + 156*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*(13*t[1] - 14*t[2] + 
       (567*t[3])/8 + (75*t[4])/4 - (13*t[5])/4 + (355*t[6])/16 - 
       (211*t[7])/8 + (409*t[8])/8 - (211*t[9])/2 - (217*t[10])/8 + 
       (3*t[11])/16 + (119*t[12])/4 + (5827*t[13])/144 - (589*t[14])/6 - 
       (2489*t[15])/144 - t[16] - 2*t[17] + 4*t[18] + (38*t[19])/3 + 
       4*t[20] + 16*t[21] - 4*t[22] - 16*t[23] + 2*t[24] - 2*t[25] + 
       10*t[26] + 15*t[27] + 2*t[28] - (17*t[29])/2 + 29*t[30] - 18*t[31] + 
       10*t[32] + 6*t[33] + 2*t[34] + 6*t[35] - 12*t[36] - 12*t[37] + 
       9*t[38] - 2*t[39] + 7*t[40] + 10*t[41] - 8*t[42] - (29*t[43])/8 + 
       (131*t[44])/4 - (127*t[45])/4 + (9*t[46])/2 + (97*t[47])/2 + 
       (231*t[48])/16 - (33*t[49])/2 - (229*t[50])/16 + (257*t[51])/16 - 
       (123*t[52])/16 + (37*t[53])/2 - (191*t[54])/16 - 2*t[57] + 2*t[58] - 
       t[59]/2 - 109*t[60] - 66*t[61] + 108*t[62] - (101*t[63])/2 + 
       (7*t[64])/2 + 129*t[65] + (431*t[66])/3 + t[67] + 7*t[68] - 4*t[70] + 
       4*t[71] + 10*t[72] - 26*t[73] - 16*t[74] + 62*t[75] - (61*t[76])/2 - 
       t[77] - 5*t[78] - 6*t[79] + 76*t[80] + t[81]/2 + 30*t[82] - 44*t[83] - 
       (37*t[84])/2 - (47*t[85])/2 - 68*t[86] + (199*t[87])/2 + 
       (199*t[88])/4 + (103*t[89])/4 - t[91]/6 + t[92] - t[94] - 2*t[97] - 
       24*t[98] - 24*t[99] + 156*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*(5*t[1] + (4423*t[2])/48 - (909*t[3])/32 + 
       (465*t[4])/16 + (403*t[5])/32 - (1109*t[6])/16 + (1293*t[7])/16 + 
       (451*t[8])/16 + (483*t[9])/32 - (833*t[10])/32 + (1837*t[11])/16 - 
       (79*t[12])/4 + (9823*t[13])/288 + (4873*t[14])/64 + 
       (17969*t[15])/288 - 4*t[19] - (7*t[23])/4 - (3*t[24])/2 + 
       (111*t[29])/8 - (195*t[30])/8 + (3*t[31])/2 + (85*t[32])/4 - 
       (187*t[33])/8 - (5*t[34])/2 - 37*t[35] - 12*t[37] + (3*t[38])/2 + 
       (15*t[39])/4 - (9*t[40])/4 - (7*t[41])/2 + (7*t[42])/2 - 
       (727*t[44])/16 + 8*t[45] - 13*t[47] - (277*t[48])/8 + (357*t[49])/32 + 
       26*t[50] - (309*t[51])/64 - 29*t[52] - (165*t[53])/32 - 
       (159*t[54])/2 - (113*t[59])/6 - (263*t[60])/16 - 45*t[61] - 
       (421*t[62])/8 + (231*t[63])/2 - (1625*t[64])/8 - (281*t[65])/16 - 
       (1025*t[66])/48 - t[67] + (119*t[74])/4 - 32*t[75] + t[76] - t[77] + 
       17*t[78] - (77*t[79])/2 + 6*t[80] - (97*t[81])/8 + (59*t[82])/8 + 
       (195*t[83])/2 - (239*t[84])/16 + (139*t[85])/4 + (7*t[86])/2 - 
       (185*t[87])/4 - (85*t[88])/4 - (1827*t[89])/32 + (5*t[95])/2 - 
       3*t[96] - 2*t[97] - 24*t[98] + 24*t[99] + (313*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((87*t[1])/8 + (567*t[2])/8 + 65*t[3] + (55*t[4])/16 + (1743*t[5])/16 + 
       t[6]/6 - (2805*t[7])/32 - (359*t[8])/32 - (5517*t[9])/32 + 
       (731*t[10])/8 - (2371*t[11])/32 - (2769*t[12])/32 - (3713*t[13])/576 - 
       (6515*t[14])/192 + (62551*t[15])/576 + (2*t[18])/3 + (3*t[20])/2 + 
       (13*t[22])/4 - 8*t[25] - (3*t[26])/2 + t[29] + 11*t[30] - 4*t[31] + 
       (3*t[32])/2 + 3*t[33] + 4*t[34] - 12*t[35] - 6*t[37] + 8*t[38] - 
       3*t[39] + 6*t[40] - (67*t[41])/4 + (193*t[42])/12 - (449*t[43])/32 + 
       4*t[44] - (75*t[45])/16 + (3*t[46])/8 - (501*t[47])/8 - 
       (639*t[48])/32 + (233*t[49])/32 + (225*t[50])/32 - (155*t[51])/64 - 
       (465*t[52])/32 - (233*t[53])/32 - (483*t[54])/32 - (3*t[58])/2 - 
       (137*t[59])/24 - (193*t[60])/4 - (83*t[61])/4 + (1737*t[62])/16 + 
       (2653*t[63])/16 - (6495*t[64])/16 - (31*t[65])/3 + (1487*t[66])/6 + 
       (19*t[69])/2 - 11*t[73] + (27*t[74])/2 + 7*t[75] + (21*t[76])/2 + 
       (13*t[77])/4 - 6*t[78] - 20*t[79] - (203*t[80])/2 - (23*t[81])/4 + 
       11*t[82] + (175*t[83])/4 - (79*t[84])/8 + t[85]/2 - (695*t[86])/4 + 
       (35*t[87])/4 + (35*t[88])/8 - 85*t[89] + (3*t[97])/2 - 24*t[98] + 
       24*t[99] + (313*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-24*t[98] - 12*t[99] + 162*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-5*t[59])/2 - (611*t[60])/8 - (337*t[61])/8 + (205*t[62])/16 - 
       (1517*t[63])/16 + (1991*t[64])/16 + (367*t[65])/24 + (1429*t[66])/24 - 
       28*t[74] + 16*t[76] + 2*t[77] + 11*t[78] - 4*t[79] - 5*t[80] - 
       12*t[81] - 2*t[82] + 4*t[83] - (23*t[84])/8 - (87*t[85])/8 + 
       (43*t[86])/2 + (375*t[87])/8 + (375*t[88])/16 + (571*t[89])/16 + 
       t[91]/6 - t[97] - 24*t[98] - 12*t[99] + 162*t[100]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-17*t[1])/2 + (79*t[2])/6 + (167*t[3])/4 - (253*t[4])/12 + 
       (279*t[5])/4 - (91*t[6])/3 - (1409*t[7])/24 - (461*t[8])/8 - 
       (773*t[9])/8 + (85*t[10])/12 - (613*t[11])/24 - (229*t[12])/8 + 
       (3289*t[13])/432 - (10373*t[14])/144 + (1219*t[15])/144 + 
       (7*t[16])/3 - (2*t[17])/3 - (8*t[18])/3 + 2*t[19] + 6*t[20] + 
       (2*t[21])/3 - (8*t[23])/3 + (10*t[24])/3 + 2*t[25] + (2*t[26])/3 + 
       4*t[28] + t[29] + 4*t[30] + 6*t[31] + 3*t[32] + (10*t[33])/3 - 
       (56*t[34])/3 - 2*t[35] + (8*t[36])/3 - (13*t[38])/3 - (4*t[39])/3 - 
       6*t[40] + (35*t[41])/6 - (31*t[42])/6 + (187*t[43])/24 + 
       (53*t[44])/6 + (5*t[45])/12 - (3*t[46])/2 - (7*t[47])/2 + 
       (115*t[48])/24 - (221*t[49])/24 - (29*t[50])/24 + (67*t[51])/48 + 
       (159*t[52])/8 + (221*t[53])/24 - (135*t[54])/8 - t[58] + 5*t[59] - 
       (637*t[60])/6 - (380*t[61])/3 + (263*t[62])/6 + (101*t[63])/6 + 
       (139*t[64])/3 - (319*t[65])/18 + (195*t[66])/2 - (7*t[67])/3 - 
       7*t[68] + (20*t[70])/3 - (20*t[71])/3 - 2*t[72] - (4*t[74])/3 - 
       (14*t[76])/3 + (16*t[77])/3 - (34*t[78])/3 + (52*t[80])/3 - 13*t[81] + 
       (41*t[82])/3 - 26*t[83] - (155*t[84])/6 - 15*t[85] - (113*t[86])/3 + 
       (134*t[87])/3 + (55*t[88])/3 - (101*t[89])/6 - (7*t[90])/3 - 2*t[92] + 
       2*t[94] + 4*t[95] - 16*t[98] - 52*t[99] + 170*t[100]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((4*t[1])/3 - (181*t[2])/12 - (67*t[3])/24 - (349*t[4])/12 - 
       (485*t[5])/24 - (65*t[6])/4 + (83*t[7])/6 + (7*t[8])/3 + 
       (749*t[9])/24 - (5*t[10])/24 + (39*t[11])/2 + (41*t[12])/4 + 
       (133*t[13])/18 - (3307*t[14])/144 - (3385*t[15])/216 - t[17] + 
       2*t[19] - 6*t[20] - 4*t[21] + 2*t[22] + (8*t[23])/3 - (8*t[24])/3 + 
       (8*t[27])/3 - (5*t[29])/2 - (25*t[30])/3 + 4*t[31] + (91*t[32])/6 - 
       t[33]/3 - (56*t[34])/3 + 8*t[35] - (17*t[37])/3 - (16*t[39])/3 - 
       6*t[40] - t[41]/2 + (5*t[42])/2 + (17*t[43])/12 + (71*t[44])/12 + 
       (35*t[45])/6 + t[46]/3 + 13*t[47] - (37*t[48])/4 - (41*t[49])/24 - 
       (23*t[50])/12 + (53*t[51])/48 + (103*t[52])/12 + (41*t[53])/24 + 
       (33*t[54])/4 + (2*t[59])/3 - (129*t[60])/4 - 4*t[61] - 
       (1273*t[62])/12 - (89*t[63])/4 + (241*t[64])/6 + (695*t[65])/36 - 
       (1705*t[66])/36 - t[67]/3 - t[68]/3 - 4*t[69] + (10*t[70])/3 - 
       (10*t[71])/3 - 8*t[72] - t[74] - 2*t[75] + (5*t[76])/3 - (5*t[77])/3 - 
       (41*t[78])/3 - 8*t[79] + (44*t[80])/3 - (13*t[81])/2 + (11*t[82])/6 + 
       6*t[83] - (221*t[84])/12 + (47*t[85])/6 + (236*t[86])/3 + 
       (68*t[87])/3 + (82*t[88])/3 - (121*t[89])/8 - (7*t[90])/3 - 
       (10*t[95])/3 - (10*t[96])/3 + (8*t[97])/3 - 16*t[98] - 52*t[99] + 
       170*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*
      ((11*t[1])/3 + (241*t[2])/3 + 110*t[3] - (1351*t[4])/3 - (74*t[5])/3 - 
       (331*t[6])/12 - (1075*t[7])/12 + (3475*t[8])/12 - (1243*t[9])/12 + 
       (3515*t[10])/12 - (1169*t[11])/6 + (820*t[12])/3 - (71647*t[13])/216 + 
       (3545*t[14])/18 - (551*t[15])/24 + 8*t[18] - 52*t[22] - 8*t[34] + 
       96*t[35] + 40*t[36] + (52*t[40])/3 - (22*t[41])/3 + (19*t[42])/3 + 
       (185*t[43])/12 + (509*t[45])/2 + 44*t[46] - 493*t[47] + 42*t[48] - 
       154*t[49] - 154*t[50] + 2*t[51] + 154*t[52] + 154*t[53] + 202*t[54] + 
       (34*t[59])/3 + 133*t[60] + (668*t[61])/3 - 52*t[62] + 450*t[63] - 
       (932*t[64])/3 + (6260*t[65])/9 + (1610*t[66])/9 + 352*t[73] + 
       564*t[75] + 160*t[76] + (58*t[77])/3 + 372*t[78] + 40*t[79] - 
       132*t[80] + 80*t[81] - 40*t[82] - 64*t[83] + 27*t[84] + 159*t[85] - 
       290*t[86] - 241*t[87] - (241*t[88])/2 - (497*t[89])/6 - 272*t[98] + 
       864*t[99] + 184*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 
       1 - v]*(-24*t[1] - 15*t[2] + (3601*t[3])/12 + 132*t[4] + 
       (2383*t[5])/6 - (1586*t[6])/3 - (313*t[7])/6 - (5653*t[8])/6 - 
       (433*t[9])/2 + 133*t[10] + 54*t[11] - (541*t[12])/3 - 
       (1867*t[13])/36 - (3325*t[14])/9 - (30659*t[15])/216 - 16*t[16] - 
       72*t[19] + 8*t[23] + 40*t[25] - 16*t[26] - 21*t[29] - (412*t[30])/3 - 
       (20*t[32])/3 + (20*t[33])/3 - (116*t[34])/3 + 88*t[36] + 72*t[37] - 
       24*t[38] + 80*t[39] - (272*t[40])/3 - 36*t[41] + 36*t[42] + 
       (841*t[44])/6 - 2*t[46] - (1307*t[48])/6 + 114*t[49] - (263*t[50])/6 - 
       (75*t[51])/2 + (263*t[52])/6 - 114*t[53] - 428*t[54] + (17*t[59])/3 - 
       (191*t[60])/3 + (1349*t[61])/2 + (7579*t[62])/12 - (2711*t[63])/12 - 
       (6631*t[64])/4 - (37735*t[65])/18 - (5885*t[66])/6 + 18*t[68] + 
       136*t[69] - 72*t[72] + 424*t[73] - 108*t[74] - 168*t[75] - 
       (436*t[76])/3 - 96*t[77] + (1784*t[78])/3 + 118*t[79] - 516*t[80] - 
       (388*t[81])/3 - 80*t[82] + 320*t[83] - (2833*t[84])/6 - 
       (3517*t[85])/6 - 596*t[86] + (459*t[87])/2 + (467*t[88])/4 - 
       (2386*t[89])/3 - 24*t[97] - 272*t[98] + 864*t[99] + 184*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-5*t[1])/2 - (277*t[2])/8 + (109*t[3])/8 - (5*t[4])/16 + 
       (43*t[5])/32 - (781*t[6])/16 - (123*t[7])/8 - (317*t[8])/2 - 
       (481*t[9])/32 - (103*t[10])/32 + (119*t[11])/4 - (197*t[12])/16 + 
       (7013*t[13])/144 - (4333*t[14])/64 - (4535*t[15])/576 + t[17]/4 + 
       t[19] + 12*t[20] - t[21] - 8*t[22] + 3*t[23] + (7*t[24])/2 + 
       (3*t[27])/2 + 10*t[28] - (29*t[29])/4 + (5*t[30])/4 - 3*t[31] - 
       (75*t[32])/4 + (69*t[33])/4 - 7*t[34] - 4*t[35] - 6*t[36] + 2*t[37] + 
       (7*t[38])/4 - 6*t[39] + (35*t[40])/4 - t[41]/2 + t[42]/2 + 
       (65*t[43])/16 + (225*t[44])/8 + (69*t[45])/4 - t[46]/4 - 7*t[47] - 
       (411*t[48])/16 - (941*t[49])/32 + (449*t[50])/16 + (1213*t[51])/64 - 
       (585*t[52])/16 + (717*t[53])/32 - (53*t[54])/2 + t[55]/4 - t[56]/2 + 
       t[57] + (25*t[59])/8 + (475*t[60])/16 - (1105*t[61])/16 + 
       (1771*t[62])/32 - (843*t[63])/32 + (1011*t[64])/32 - (311*t[65])/48 - 
       (2021*t[66])/48 + t[67]/4 - (3*t[68])/2 + 8*t[69] - 3*t[70] + 
       3*t[71] + t[72] + (13*t[74])/2 + 34*t[75] + (5*t[76])/2 + 8*t[77] + 
       (95*t[78])/4 - 12*t[79] - 10*t[80] + (15*t[81])/4 - 27*t[82] - 
       54*t[83] + (363*t[84])/16 + (363*t[85])/16 - (157*t[86])/4 - 
       (51*t[87])/16 - (595*t[88])/32 + (1139*t[89])/32 - t[91]/12 + t[93] + 
       4*t[95] - (13*t[96])/2 - (41*t[97])/4 + 24*t[98] - 92*t[99] + 
       229*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((77*t[1])/8 - (147*t[2])/8 + (39*t[3])/16 + (133*t[4])/16 + 
       (593*t[5])/16 - (275*t[6])/32 + (985*t[7])/16 + (1013*t[8])/16 - 
       (91*t[9])/16 - (2109*t[10])/32 + (1817*t[11])/32 - (333*t[12])/32 + 
       (4219*t[13])/288 - (12625*t[14])/192 - (9335*t[15])/288 + t[16]/4 + 
       (9*t[17])/4 + 4*t[18] + 5*t[19] + 10*t[20] - 4*t[21] - 6*t[22] + 
       4*t[23] + 3*t[24] - 8*t[25] + (5*t[26])/2 - 3*t[27] + (15*t[29])/4 - 
       t[30]/2 - 7*t[31] + (3*t[32])/2 + t[33] - (47*t[34])/4 + 15*t[35] - 
       t[36]/2 - 6*t[37] + (9*t[38])/2 - 3*t[39] - (3*t[40])/4 + 
       (39*t[41])/8 - (19*t[42])/8 - (91*t[43])/16 + (81*t[44])/8 + 
       (7*t[45])/8 + (13*t[46])/4 + 51*t[47] + (305*t[48])/32 - 
       (53*t[49])/32 + (765*t[50])/32 + (11*t[51])/64 - (837*t[52])/32 + 
       (101*t[53])/32 - (739*t[54])/32 - t[56] + 3*t[57] + (5*t[58])/2 + 
       (5*t[59])/4 - (215*t[60])/8 - (269*t[61])/8 - (2333*t[62])/16 - 
       (3367*t[63])/16 + (3999*t[64])/16 + (199*t[65])/3 + (303*t[66])/4 - 
       t[67]/4 - 2*t[68] + 8*t[69] - 7*t[70] + 7*t[71] - 10*t[72] + 
       16*t[73] + (15*t[74])/2 - 2*t[75] + 5*t[76] + 12*t[77] - 
       (25*t[78])/2 - 7*t[79] + (181*t[80])/2 - (77*t[81])/4 + 6*t[82] - 
       33*t[83] - (15*t[84])/4 - (251*t[85])/8 + 183*t[86] + (587*t[87])/8 + 
       (587*t[88])/16 + (937*t[89])/16 - t[92] + t[94]/2 - (7*t[97])/2 + 
       24*t[98] - 92*t[99] + 229*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*(-4*t[1] + (31*t[2])/2 - 
       (5*t[3])/4 + (17*t[4])/2 - (179*t[5])/8 + (141*t[6])/8 - 
       (203*t[7])/4 + (51*t[8])/4 + (173*t[9])/8 - (45*t[10])/4 - 
       (305*t[11])/8 - (53*t[12])/8 + (763*t[13])/72 + (13*t[14])/8 - 
       (3749*t[15])/144 - 4*t[21] - 2*t[22] + 14*t[28] - 8*t[29] + 4*t[31] - 
       2*t[32] + 2*t[33] + 4*t[34] - 10*t[36] - 4*t[37] - 2*t[38] - 2*t[39] - 
       t[40] - t[41]/2 + t[42]/2 - t[43]/2 + 3*t[44] - (5*t[45])/2 + 
       3*t[46] + 8*t[47] - (55*t[48])/8 - 8*t[49] - (27*t[50])/8 + 
       (11*t[51])/8 + (59*t[52])/8 + (195*t[54])/8 - (9*t[59])/2 + 
       (289*t[60])/4 - (415*t[61])/4 + (439*t[62])/8 - (663*t[63])/8 - 
       (443*t[64])/8 + (535*t[65])/12 + (541*t[66])/12 - 8*t[69] + 4*t[70] - 
       4*t[71] - 4*t[72] + 12*t[73] + 6*t[74] - 2*t[76] + 14*t[77] + 
       26*t[78] - 16*t[79] + t[80] + t[81] - (27*t[82])/2 - 20*t[83] + 
       (127*t[84])/4 + (145*t[85])/4 - 11*t[86] - (57*t[87])/4 - 
       (57*t[88])/8 + (435*t[89])/8 - 12*t[96] - 8*t[97] + 72*t[98] - 
       100*t[99] + 233*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(11*t[1] + 5*t[2] + (123*t[3])/4 + 27*t[4] - 
       (3*t[5])/8 + (261*t[6])/8 - (57*t[7])/4 - (5*t[8])/4 - (71*t[9])/8 + 
       (13*t[10])/4 - (105*t[11])/8 - (85*t[12])/8 - (781*t[13])/72 - 
       (245*t[14])/6 - (1939*t[15])/48 - 2*t[16] + 4*t[20] - 14*t[25] + 
       8*t[26] - 2*t[27] - (11*t[30])/2 - 10*t[31] - (9*t[32])/2 + 
       (9*t[33])/2 - 4*t[35] - 8*t[36] + 8*t[38] - (7*t[39])/2 - 
       (5*t[40])/2 + t[41] - t[42] - (25*t[43])/2 - 4*t[44] - (13*t[45])/2 - 
       3*t[46] + 15*t[47] + (61*t[48])/8 + 10*t[49] + (41*t[50])/8 - 
       (11*t[51])/2 + (23*t[52])/8 - 9*t[53] - (105*t[54])/8 + 2*t[58] - 
       10*t[59] + (29*t[60])/4 - (715*t[61])/4 - (163*t[62])/8 - 
       (1757*t[63])/8 + (941*t[64])/8 + (407*t[65])/4 + (143*t[66])/12 + 
       t[67] + 6*t[68] - 12*t[69] - 8*t[70] + 8*t[71] - 16*t[72] + 10*t[73] + 
       6*t[74] + 18*t[75] + 2*t[76] + 16*t[77] - 2*t[78] + 50*t[79] - 
       6*t[80] - 11*t[81] + 8*t[82] - 58*t[83] - (41*t[84])/4 - t[85]/4 + 
       62*t[86] + (237*t[87])/4 + (229*t[88])/8 + (813*t[89])/8 + t[92] - 
       2*t[93] - t[94] - 8*t[95] - 2*t[97] + 72*t[98] - 100*t[99] + 
       233*t[100]) + HPL[{0, 1}, 1 - u]*Qep[u, v, w]*
      ((-128*t[1])/9 + (40*t[2])/9 - (640*t[3])/9 - (1096*t[4])/9 - 4*t[5] + 
       32*t[6] + (1736*t[7])/9 + (1000*t[8])/9 + (1352*t[9])/9 + 100*t[10] + 
       (1600*t[11])/9 + (808*t[12])/9 + (14512*t[13])/81 + 66*t[14] + 
       (218*t[15])/9 + (128*t[27])/9 - (256*t[28])/9 - (128*t[29])/9 + 
       (128*t[30])/9 + (128*t[31])/3 + (64*t[32])/9 - (64*t[33])/9 + 
       (256*t[34])/9 + 64*t[35] - (64*t[37])/3 - (64*t[38])/9 - 
       (64*t[39])/9 - (160*t[40])/9 - (64*t[41])/9 + (64*t[42])/9 - 
       (160*t[43])/9 + (128*t[44])/9 - (64*t[45])/9 - (16*t[46])/3 + 
       (352*t[47])/3 - (688*t[48])/9 + (28*t[49])/9 + (112*t[50])/3 + 
       (2*t[51])/3 - 16*t[52] - (28*t[53])/9 - 40*t[54] - (80*t[59])/3 + 
       (200*t[60])/9 + (1240*t[61])/9 - (4012*t[62])/9 + (116*t[63])/9 + 
       (596*t[64])/3 + (6400*t[65])/27 - (6736*t[66])/27 - (64*t[69])/3 + 
       (32*t[73])/3 - (128*t[74])/3 - (32*t[75])/3 + (224*t[76])/9 - 
       (64*t[77])/3 - (128*t[78])/9 + (256*t[80])/9 + 16*t[81] + 32*t[82] + 
       (128*t[83])/3 - (80*t[84])/3 + (856*t[85])/9 + (800*t[86])/3 - 
       (440*t[87])/9 - (220*t[88])/9 + (92*t[89])/3 + (32*t[97])/9 + 
       (320*t[98])/3 - (320*t[99])/3 + (736*t[100])/3) + 
     HPL[{0, 1}, 1 - v]*Qep[w, v, u]*((-32*t[1])/9 - (112*t[2])/9 - 
       (562*t[3])/9 + (328*t[4])/3 - (916*t[5])/9 + (181*t[6])/9 + 80*t[7] + 
       (1232*t[8])/9 - 18*t[9] - (196*t[10])/3 + (115*t[11])/9 - 
       (488*t[12])/9 + (706*t[13])/27 - (199*t[14])/27 + (3928*t[15])/81 - 
       (40*t[29])/9 + (224*t[30])/9 + (128*t[31])/9 + (16*t[32])/3 - 
       (16*t[33])/3 - (368*t[34])/9 + (32*t[36])/3 + (64*t[37])/3 + 
       (128*t[38])/9 + (56*t[39])/9 + (136*t[40])/9 + (64*t[43])/9 + 
       (208*t[44])/9 + (448*t[45])/9 - (320*t[47])/9 + (419*t[48])/9 - 
       (340*t[49])/9 + (121*t[50])/3 + (266*t[51])/9 - (619*t[52])/9 + 
       (340*t[53])/9 + (341*t[54])/9 + (88*t[59])/9 - (34*t[60])/9 + 
       (874*t[61])/3 + (2219*t[62])/9 - (17*t[63])/3 - (2321*t[64])/9 + 
       (5402*t[65])/27 + 170*t[66] + (64*t[69])/3 + 32*t[74] + 
       (256*t[75])/3 - (832*t[76])/9 - (64*t[77])/9 + (1792*t[78])/9 - 
       (544*t[79])/3 - (64*t[80])/3 - (80*t[81])/9 - (64*t[82])/9 - 
       (256*t[83])/3 + (538*t[84])/9 - (310*t[85])/9 - (1952*t[86])/9 + 
       122*t[87] + 61*t[88] + (1381*t[89])/9 - (64*t[97])/9 - 
       (1216*t[98])/3 + (1216*t[99])/3 + (736*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((7*t[1])/3 - (337*t[2])/24 - (179*t[3])/24 - (37*t[4])/12 + 
       (865*t[5])/16 - (33*t[6])/2 - (1375*t[7])/48 + (775*t[8])/48 - 
       (1355*t[9])/24 + (657*t[10])/16 - (221*t[11])/48 - (647*t[12])/48 + 
       (30689*t[13])/864 - (343*t[14])/8 + (569*t[15])/24 + (7*t[17])/4 + 
       2*t[18] - 18*t[20] + t[21] + 2*t[22] - t[23] - t[24] + t[25]/2 - 
       2*t[26] + (37*t[27])/6 - (52*t[28])/3 + (7*t[29])/3 + (29*t[30])/3 - 
       2*t[31] - (5*t[32])/3 + (8*t[33])/3 - (79*t[34])/6 - 4*t[35] + 
       (14*t[38])/3 - (34*t[39])/3 + (97*t[40])/6 + (7*t[41])/6 - 
       (2*t[42])/3 - (25*t[43])/48 + (31*t[44])/6 + (253*t[45])/24 + 
       (3*t[46])/2 - (21*t[47])/4 - (133*t[48])/48 - (107*t[49])/12 - 
       (143*t[50])/16 + (81*t[51])/8 - (249*t[52])/16 + (107*t[53])/12 - 
       (89*t[54])/16 + 4*t[57] - t[59] - (155*t[60])/6 - (635*t[61])/12 + 
       (263*t[62])/12 - (667*t[63])/12 + (453*t[64])/8 + (913*t[65])/36 + 
       (365*t[66])/36 - 2*t[70] + 2*t[71] - t[74] - (22*t[76])/3 - 5*t[77] + 
       (10*t[78])/3 + (16*t[80])/3 - 5*t[81] + (9*t[82])/2 + t[84]/2 - 
       (37*t[85])/6 + (37*t[86])/2 + (119*t[87])/6 + (119*t[88])/12 + 
       (49*t[89])/4 + t[92]/2 - t[94]/2 - (4*t[97])/3 + 32*t[98] - 94*t[99] + 
       246*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*((31*t[1])/12 - (119*t[2])/6 + (611*t[3])/48 + 
       (313*t[4])/8 - (767*t[5])/24 - (347*t[6])/48 - (245*t[7])/8 - 
       (377*t[8])/24 - 16*t[9] + (419*t[10])/16 + (133*t[11])/48 + 
       (289*t[12])/48 - (25*t[13])/48 - (4259*t[14])/288 - (3073*t[15])/864 - 
       (3*t[17])/4 - 2*t[19] - 2*t[20] + 2*t[22] + t[23] + t[24] + 
       (11*t[29])/12 + (31*t[30])/6 + (50*t[31])/3 - (3*t[32])/4 + 4*t[33] - 
       (73*t[34])/6 - 6*t[36] + (5*t[37])/2 + (25*t[38])/6 - (17*t[39])/6 + 
       (19*t[40])/3 + t[41]/2 - t[42]/2 + (31*t[43])/12 + (11*t[44])/24 + 
       (37*t[45])/3 - (55*t[47])/6 - (67*t[48])/48 - (109*t[49])/48 - 
       (25*t[50])/16 + (421*t[51])/96 - (445*t[52])/48 + (205*t[53])/48 + 
       (395*t[54])/48 + t[55] + t[56] + (35*t[59])/6 - (2873*t[60])/24 - 
       (745*t[61])/8 + (1457*t[62])/12 - 2*t[63] - (6479*t[64])/48 + 
       (641*t[65])/36 + (1535*t[66])/12 - (5*t[67])/2 + (3*t[68])/2 + 
       2*t[69] - t[70] + t[71] - 22*t[72] - 16*t[73] - (7*t[74])/2 + 
       52*t[75] - (4*t[76])/3 + t[77]/6 + (131*t[78])/6 + 3*t[79] - 
       26*t[80] - (55*t[81])/6 + (67*t[82])/6 - 3*t[83] - (41*t[84])/3 + 
       (221*t[85])/12 - (182*t[86])/3 + (113*t[87])/4 + (81*t[88])/8 + 
       (271*t[89])/12 - 2*t[93] + 5*t[95] + 6*t[96] - t[97]/3 + 32*t[98] - 
       94*t[99] + 246*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-11*t[1])/6 - (167*t[2])/12 + (218*t[3])/3 - 
       (41*t[4])/2 - (103*t[5])/48 - (1433*t[6])/16 + (989*t[7])/24 - 
       (3281*t[8])/24 - (563*t[9])/48 - (25*t[10])/4 - (1339*t[11])/48 - 
       (563*t[12])/48 - (1615*t[13])/108 - (18845*t[14])/144 - 
       (17311*t[15])/864 - t[17]/6 - (4*t[18])/3 - 8*t[20] - 4*t[21] + 
       (13*t[22])/3 + (16*t[23])/3 - (7*t[24])/3 + (38*t[27])/3 - 
       (55*t[28])/3 - (11*t[29])/6 - (13*t[30])/3 - 6*t[31] - (50*t[32])/3 - 
       (13*t[33])/3 + 5*t[34] + 9*t[35] - 4*t[36] - (2*t[38])/3 - 4*t[39] + 
       (11*t[40])/3 - (29*t[41])/6 + (11*t[42])/2 + (71*t[43])/12 + 
       (57*t[44])/4 - (45*t[45])/2 + 8*t[46] + (134*t[47])/3 - 
       (1913*t[48])/48 + (145*t[49])/24 + (647*t[50])/48 - (91*t[51])/16 - 
       (445*t[52])/16 - (27*t[53])/8 - (2563*t[54])/48 + (2*t[56])/3 + 
       (8*t[57])/3 - (2*t[59])/3 - (5029*t[60])/24 - (6677*t[61])/24 + 
       (2717*t[62])/48 - (1079*t[63])/16 + (5887*t[64])/48 + 
       (2515*t[65])/72 + (461*t[66])/8 - t[67]/3 + (2*t[68])/3 + 2*t[69] - 
       (14*t[70])/3 + (14*t[71])/3 - 3*t[72] + 2*t[73] + (4*t[74])/3 - 
       9*t[75] + 27*t[76] - (32*t[77])/3 - (146*t[78])/3 + 4*t[79] + 
       (62*t[80])/3 - 5*t[81] + (191*t[82])/6 + 52*t[83] - (297*t[84])/8 + 
       (235*t[85])/8 + (418*t[86])/3 + (1417*t[87])/24 + (409*t[88])/48 - 
       (187*t[89])/16 + t[90]/3 + 6*t[95] + (32*t[96])/3 - (5*t[97])/3 + 
       132*t[98] - 192*t[99] + 269*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*((43*t[1])/6 + 4*t[2] + 
       (49*t[3])/3 - (293*t[4])/6 + (1759*t[5])/48 - (1375*t[6])/48 + 
       (427*t[7])/12 - (81*t[8])/4 + (759*t[9])/16 - (7*t[10])/6 - 
       (2491*t[11])/48 + (137*t[12])/48 - (89*t[13])/4 - (242*t[14])/9 - 
       (11339*t[15])/864 + 2*t[16] + (5*t[17])/6 + 4*t[18] - 2*t[19] + 
       5*t[20] + (26*t[21])/3 - (25*t[22])/3 - (28*t[23])/3 + 6*t[24] - 
       (19*t[25])/3 + (10*t[26])/3 + (7*t[27])/3 + 12*t[28] - (19*t[29])/6 - 
       t[30]/3 + (5*t[31])/3 - 3*t[32] + (14*t[33])/3 + 15*t[34] - 10*t[35] + 
       12*t[36] + 3*t[37] + (11*t[38])/3 + (22*t[39])/3 - (11*t[40])/3 + 
       (9*t[41])/2 - (7*t[42])/6 + (7*t[43])/8 + (61*t[44])/6 - 
       (53*t[45])/4 + (19*t[46])/6 + (91*t[47])/6 + (623*t[48])/48 - 
       (25*t[49])/12 + (575*t[50])/48 + (3*t[51])/4 - (607*t[52])/48 + 
       (25*t[53])/12 - (415*t[54])/48 + (5*t[58])/3 - (10*t[59])/3 + 
       (41*t[60])/24 - (2495*t[61])/24 + (1873*t[62])/48 - (1769*t[63])/48 - 
       (49*t[64])/16 + (9449*t[65])/72 + (199*t[66])/8 - (25*t[68])/3 + 
       10*t[69] - 8*t[70] + 8*t[71] - 10*t[72] - 8*t[74] + 10*t[75] + 
       (56*t[76])/3 - (46*t[78])/3 - 8*t[79] + 83*t[80] - (2*t[81])/3 + 
       (76*t[82])/3 - 10*t[83] - (29*t[84])/24 + (181*t[85])/8 - 17*t[86] + 
       (131*t[87])/24 + (131*t[88])/48 + (1037*t[89])/16 + t[90]/3 - 
       t[92]/3 - t[94]/3 + (4*t[97])/3 + 132*t[98] - 192*t[99] + 
       269*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-7*t[1])/3 + (155*t[2])/6 - (231*t[3])/8 + 
       71*t[4] + (152*t[5])/3 + (1963*t[6])/24 - (757*t[7])/4 + 
       (631*t[8])/4 - (595*t[9])/12 + (128*t[10])/3 - (361*t[11])/8 - 
       (383*t[12])/12 + (10159*t[13])/216 + (925*t[14])/72 + 
       (20467*t[15])/432 + (20*t[18])/9 + 2*t[20] + (4*t[22])/3 + 
       (20*t[23])/3 + 48*t[28] + (113*t[29])/6 + 11*t[30] + 2*t[31] - 
       (113*t[32])/6 + 24*t[33] - (7*t[34])/3 - 28*t[35] - 14*t[36] - 
       (2*t[37])/3 - 2*t[38] - (25*t[39])/3 + (31*t[40])/3 - (7*t[41])/3 + 
       (7*t[42])/3 - (19*t[43])/3 - (715*t[44])/12 + (11*t[45])/3 - t[46] - 
       7*t[47] + (1483*t[48])/24 + (65*t[49])/6 - (1373*t[50])/24 - 
       (43*t[51])/6 + (1261*t[52])/24 - (89*t[53])/6 + (883*t[54])/24 - 
       (13*t[59])/6 - (107*t[60])/4 - 108*t[61] + (1058*t[62])/3 + 
       (77*t[63])/2 - (1175*t[64])/4 + (371*t[65])/18 + 109*t[66] + t[67] - 
       4*t[69] - (14*t[70])/3 + (14*t[71])/3 + 2*t[73] + (56*t[74])/3 + 
       24*t[75] - (4*t[76])/3 + (46*t[77])/3 + (7*t[78])/3 - 8*t[79] - 
       40*t[80] + (14*t[81])/3 - 8*t[82] - 71*t[83] + t[84]/2 + 3*t[85] - 
       (946*t[86])/3 - 98*t[87] - (98*t[88])/3 + (2033*t[89])/24 - 
       (4*t[95])/3 + (8*t[96])/3 - (13*t[97])/3 - 8*t[98] - 8*t[99] + 
       287*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((-7*t[1])/3 + (65*t[2])/3 - (5*t[3])/4 + 
       (743*t[4])/6 - (1047*t[5])/8 - (245*t[6])/24 - (389*t[7])/24 + 
       (895*t[8])/8 + (351*t[9])/4 + (385*t[10])/8 - (757*t[11])/12 + 
       (41*t[12])/8 + (11675*t[13])/144 - (2431*t[14])/36 - (2113*t[15])/36 - 
       2*t[17] + (28*t[18])/9 + (20*t[21])/3 - (8*t[22])/3 - (31*t[23])/3 + 
       (32*t[24])/3 + (4*t[25])/3 + (11*t[26])/3 + (8*t[27])/3 - 6*t[28] + 
       4*t[30] - 12*t[31] + (8*t[32])/3 - (8*t[33])/3 - 11*t[34] + 10*t[35] - 
       6*t[37] - 6*t[38] - (4*t[39])/3 - (23*t[40])/3 - (16*t[41])/3 + 
       3*t[42] - (583*t[43])/24 - (38*t[44])/3 - (341*t[45])/12 - 
       (50*t[46])/3 + (179*t[47])/2 - (67*t[48])/4 + (41*t[49])/12 + 
       (105*t[50])/4 + (71*t[51])/24 - (43*t[52])/12 - (41*t[53])/12 - 
       (91*t[54])/4 + (5*t[58])/3 - (59*t[59])/6 - (389*t[60])/3 - 
       (1051*t[61])/6 - (397*t[62])/6 - (431*t[63])/6 - (253*t[64])/12 + 
       (1064*t[65])/9 + (1027*t[66])/18 - (10*t[67])/3 - 8*t[69] - 
       (14*t[70])/3 + (14*t[71])/3 - (58*t[74])/3 - (4*t[76])/3 + 
       (8*t[77])/3 - (5*t[78])/3 + 4*t[79] - (100*t[80])/3 - (52*t[81])/3 + 
       16*t[82] + 27*t[83] - 26*t[84] + (23*t[85])/6 + (119*t[86])/3 + 
       (397*t[87])/6 + (397*t[88])/12 + 64*t[89] + (14*t[94])/3 - 
       (5*t[97])/3 - 8*t[98] - 8*t[99] + 287*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      (-t[1]/6 - (13*t[2])/6 - (101*t[3])/8 - (125*t[4])/6 + (173*t[5])/6 - 
       (25*t[6])/3 - (125*t[7])/12 - (653*t[8])/12 + (3*t[9])/2 + 
       (83*t[10])/3 - (535*t[11])/12 - (2*t[12])/3 - (5761*t[13])/216 - 
       (2039*t[14])/72 - (1231*t[15])/432 + t[17]/2 - 2*t[19] + 2*t[20] - 
       (4*t[23])/3 - (8*t[24])/3 + (10*t[27])/3 + t[28] + (44*t[29])/3 + 
       (44*t[30])/3 + 6*t[32] - t[33]/3 - (10*t[34])/3 + 2*t[35] - 4*t[36] + 
       5*t[37] - t[38] - 12*t[39] + (2*t[40])/3 - (4*t[41])/3 + (4*t[42])/3 + 
       t[43] + (22*t[44])/3 - 11*t[45] + (13*t[46])/6 + (32*t[47])/3 + 
       12*t[48] + 6*t[49] + 5*t[50] - (47*t[51])/8 + (10*t[52])/3 - 
       (22*t[53])/3 - (5*t[54])/12 - 3*t[59] - (505*t[60])/12 - 
       (452*t[61])/3 + (557*t[62])/8 + (1409*t[63])/24 - (209*t[64])/12 + 
       (841*t[65])/36 + (5737*t[66])/36 - (4*t[68])/3 + 2*t[69] + 
       (4*t[70])/3 - (4*t[71])/3 - 8*t[72] - 2*t[73] + t[74]/3 + 3*t[75] + 
       (43*t[76])/3 + (11*t[77])/3 - (43*t[78])/3 + 4*t[79] - t[80] - 
       (37*t[81])/6 + (19*t[82])/2 - 16*t[83] - (287*t[84])/12 + 
       (52*t[85])/3 - 30*t[86] + (67*t[87])/6 + (49*t[88])/4 + 16*t[89] - 
       t[90]/3 + (4*t[95])/3 - (10*t[96])/3 + t[97]/3 + 56*t[98] - 
       118*t[99] + 289*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((17*t[1])/12 + (293*t[2])/12 - (29*t[3])/16 - 
       (7447*t[4])/48 + (118*t[5])/3 - (373*t[6])/32 + (2879*t[7])/48 + 
       (1955*t[8])/48 + (713*t[9])/24 + (967*t[10])/96 - (349*t[11])/32 + 
       (4853*t[12])/96 - (17059*t[13])/864 - (4219*t[14])/192 + 
       (43*t[15])/48 + (5*t[16])/2 - (3*t[17])/2 + (2*t[18])/3 + 6*t[19] - 
       2*t[20] + (2*t[21])/3 + 10*t[22] - (8*t[23])/3 + (4*t[24])/3 + t[25] + 
       (49*t[26])/6 + 2*t[27] + 2*t[28] - (53*t[29])/12 + t[30]/3 + 5*t[31] + 
       (29*t[32])/6 - (13*t[33])/2 + (19*t[34])/2 + 4*t[35] + t[36] - 
       7*t[37] - (25*t[38])/6 + (77*t[39])/6 - (107*t[40])/6 + 
       (35*t[41])/12 - (11*t[42])/12 + (205*t[43])/48 + (265*t[44])/24 - 
       (511*t[45])/24 + 12*t[46] + (643*t[47])/12 + (1525*t[48])/96 - 
       (3085*t[49])/96 + (347*t[50])/32 + (847*t[51])/192 + (1247*t[52])/96 + 
       (1055*t[53])/32 + (1801*t[54])/96 + (11*t[56])/6 + (13*t[57])/3 + 
       (7*t[58])/6 - (55*t[59])/12 - (1453*t[60])/12 - (109*t[61])/4 - 
       (3197*t[62])/24 - (1781*t[63])/24 + (6593*t[64])/24 + 
       (5825*t[65])/36 + (303*t[66])/4 - (13*t[67])/6 - (19*t[68])/3 + 
       t[69] - 2*t[70] + 2*t[71] - 4*t[72] - 10*t[73] + (10*t[74])/3 + 
       19*t[75] + 9*t[76] + 11*t[77] - (119*t[78])/6 + 11*t[79] + 
       (187*t[80])/3 - 24*t[81] + (88*t[82])/3 - (33*t[83])/2 - 
       (101*t[84])/6 - (409*t[85])/12 + 89*t[86] + (351*t[87])/4 + 
       (351*t[88])/8 + (793*t[89])/24 - (2*t[90])/3 - (4*t[92])/3 + 
       (7*t[94])/3 + (5*t[97])/6 + 56*t[98] - 118*t[99] + 289*t[100]) + 
     HPL[{0, 1}, 1 - v]*Qep[u, w, v]*((-64*t[1])/9 - (272*t[2])/9 - 
       (986*t[3])/9 + (272*t[4])/3 - (884*t[5])/9 + (53*t[6])/9 + 
       (296*t[7])/3 - (32*t[8])/9 + 46*t[9] - (8*t[10])/3 + (659*t[11])/9 + 
       (188*t[12])/9 + (562*t[13])/27 + (1087*t[14])/27 + (7280*t[15])/81 - 
       (272*t[29])/9 + (184*t[30])/9 + (256*t[31])/9 + (8*t[32])/3 - 
       (8*t[33])/3 - (112*t[34])/9 + (64*t[36])/3 + (64*t[37])/3 + 
       (64*t[38])/9 + (16*t[39])/9 + (80*t[40])/9 + (128*t[43])/9 + 
       (464*t[44])/9 + (224*t[45])/9 - (160*t[47])/9 + (211*t[48])/9 - 
       (344*t[49])/9 + (217*t[50])/3 + (220*t[51])/9 - (779*t[52])/9 + 
       (344*t[53])/9 + (37*t[54])/9 + (104*t[59])/9 - (674*t[60])/9 + 
       (610*t[61])/3 + (3235*t[62])/9 + 213*t[63] - (2809*t[64])/9 + 
       (6994*t[65])/27 + (2530*t[66])/9 + (64*t[69])/3 - (64*t[72])/3 + 
       (32*t[74])/3 + (256*t[75])/3 - (608*t[76])/9 - (32*t[77])/9 + 
       (1664*t[78])/9 - (224*t[79])/3 - (128*t[80])/3 + (80*t[81])/9 - 
       (128*t[82])/9 - (352*t[83])/3 + (530*t[84])/9 - (254*t[85])/9 - 
       (3424*t[86])/9 + 106*t[87] + 53*t[88] + (1061*t[89])/9 - 
       (32*t[97])/9 - (896*t[98])/3 + (896*t[99])/3 + (896*t[100])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((-53*t[60])/2 + (75*t[61])/2 + (69*t[62])/4 - (809*t[63])/4 + 
       (97*t[64])/4 - (197*t[65])/3 + (28*t[66])/3 + 20*t[72] - 78*t[73] - 
       222*t[75] - 60*t[76] - 132*t[78] + 29*t[81] - t[82] + 110*t[83] + 
       4*t[84] + (83*t[85])/2 + (97*t[87])/2 + (97*t[88])/4 - (125*t[89])/4 - 
       96*t[98] + 300*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((-29*t[60])/2 - 380*t[61] - 
       (113*t[62])/4 - (1611*t[63])/4 - 221*t[64] + (1085*t[65])/3 + 
       215*t[66] - 3*t[68] - 12*t[69] + 32*t[72] - 144*t[73] - 30*t[75] - 
       108*t[76] + 24*t[77] - 132*t[78] - 12*t[79] + 48*t[80] + 17*t[81] + 
       47*t[82] + 110*t[83] - 38*t[84] + (227*t[85])/2 + 282*t[86] + 
       (25*t[87])/2 + (25*t[88])/4 - 11*t[89] - 96*t[98] + 300*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*(-7*t[1] - (87*t[2])/2 - 
       (11*t[3])/8 - 9*t[4] + (73*t[5])/8 - (211*t[6])/4 - (79*t[7])/4 - 
       (1165*t[8])/4 - (317*t[9])/8 - (31*t[10])/2 + (111*t[11])/2 + 
       (103*t[12])/8 + (6607*t[13])/72 - (2621*t[14])/24 + (73*t[15])/36 - 
       t[17]/2 + 4*t[19] + 32*t[20] - 24*t[22] + 4*t[23] - 2*t[24] + 
       20*t[28] - (41*t[29])/2 - (11*t[30])/2 - (69*t[32])/2 + (77*t[33])/2 - 
       2*t[34] - 6*t[35] - 4*t[36] + 6*t[37] + t[38]/2 - 18*t[39] + 9*t[40] + 
       10*t[43] + (185*t[44])/4 + 5*t[45] - 4*t[46] + 9*t[47] - 50*t[48] - 
       75*t[49] + (135*t[50])/2 + (195*t[51])/4 - (141*t[52])/2 + 57*t[53] - 
       (55*t[54])/4 + 2*t[55] - 2*t[56] + (41*t[59])/4 + 106*t[60] - 
       (441*t[61])/4 + (1079*t[62])/8 - (123*t[63])/8 - (303*t[64])/8 + 
       (153*t[65])/4 + (23*t[66])/4 + t[67]/2 - t[68] + 20*t[69] - 2*t[70] + 
       2*t[71] + 22*t[72] - 8*t[73] + 7*t[74] + 84*t[75] - 37*t[76] + 
       16*t[77] + (225*t[78])/2 - 44*t[79] - 23*t[80] + (13*t[81])/2 - 
       40*t[82] - 120*t[83] + (229*t[84])/4 + (151*t[85])/4 - 104*t[86] - 
       (143*t[87])/4 - (271*t[88])/8 + (103*t[89])/2 + 4*t[93] + 4*t[95] - 
       23*t[96] - (43*t[97])/2 - 96*t[98] + 8*t[99] + 400*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((61*t[1])/4 - (105*t[2])/4 - (17*t[3])/2 + (93*t[4])/2 + (45*t[5])/4 + 
       (5*t[6])/4 + (1049*t[7])/8 + (1099*t[8])/8 + (315*t[9])/8 - 
       (435*t[10])/8 + (1109*t[11])/8 + (47*t[12])/4 + (7345*t[13])/144 - 
       (152*t[14])/3 - (7267*t[15])/144 + 4*t[16] + t[17]/2 + 4*t[18] + 
       12*t[19] + 36*t[20] - 18*t[21] - 15*t[22] + 18*t[23] - 5*t[24] - 
       5*t[25] + 8*t[26] - 3*t[27] - 8*t[28] + 10*t[29] - 10*t[30] - 
       10*t[31] + 5*t[32] - 7*t[33] - (45*t[34])/2 + 40*t[35] - 20*t[37] + 
       7*t[38] - t[39] - (21*t[40])/2 + (35*t[41])/4 - (23*t[42])/4 - 
       (55*t[43])/8 + 20*t[44] - (81*t[45])/4 + 6*t[46] + 134*t[47] + 
       (23*t[48])/8 - (63*t[49])/4 + (487*t[50])/8 - (11*t[51])/8 - 
       (283*t[52])/8 + (79*t[53])/4 - (291*t[54])/8 - (5*t[56])/2 + 2*t[57] + 
       5*t[58] + (7*t[59])/2 + (9*t[60])/4 + (277*t[61])/4 - (2861*t[62])/8 - 
       (3439*t[63])/8 + (3217*t[64])/8 + (232*t[65])/3 + (605*t[66])/6 - 
       (7*t[67])/2 - 12*t[68] + 20*t[69] - 6*t[70] + 6*t[71] + 6*t[72] + 
       16*t[73] + 5*t[74] + 20*t[75] - 16*t[76] + 32*t[77] + 11*t[78] - 
       30*t[79] + 173*t[80] - (85*t[81])/2 + 6*t[82] - 80*t[83] + 
       (15*t[84])/2 - (331*t[85])/4 + 301*t[86] + (475*t[87])/4 + 
       (475*t[88])/8 + (825*t[89])/8 - 5*t[92] + 4*t[93] + 4*t[94] - 
       7*t[97] - 96*t[98] + 8*t[99] + 400*t[100]) + 
     HPL[{0, 1}, 1 - v]*Qep[v, u, w]*((-32*t[1])/3 + 32*t[2] - 188*t[3] - 
       (8*t[4])/3 - (344*t[5])/3 - (34*t[6])/3 + (1000*t[7])/3 - 
       (640*t[8])/3 + (884*t[9])/3 - 52*t[10] + (130*t[11])/3 + 
       (140*t[12])/3 + (436*t[13])/27 + (440*t[14])/3 + (536*t[15])/9 - 
       (104*t[29])/3 + (136*t[30])/3 + (64*t[31])/3 + 8*t[32] - 8*t[33] + 
       32*t[34] + 32*t[36] + (64*t[37])/3 - (8*t[39])/3 + (8*t[40])/3 + 
       (32*t[43])/3 + (224*t[44])/3 - (190*t[48])/3 - (100*t[49])/3 + 
       (386*t[50])/3 + (50*t[51])/3 - (386*t[52])/3 + (100*t[53])/3 - 
       (50*t[54])/3 + (16*t[59])/3 + (148*t[60])/3 + 196*t[61] + 214*t[62] + 
       290*t[63] - (1342*t[64])/3 + (740*t[65])/9 + (1628*t[66])/9 + 
       (64*t[69])/3 - (128*t[72])/3 + (64*t[74])/3 + (256*t[75])/3 - 
       (128*t[76])/3 + (512*t[78])/3 - 128*t[79] + (64*t[81])/3 + 
       (64*t[82])/3 - (256*t[83])/3 + 60*t[84] + (4*t[85])/3 - 256*t[86] + 
       (140*t[87])/3 + (70*t[88])/3 + (110*t[89])/3 - 192*t[98] + 192*t[99] + 
       416*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*
      (-15*t[1] - (537*t[2])/2 + 189*t[3] + 72*t[4] + (321*t[5])/8 - 
       (1219*t[6])/4 + 192*t[7] - (1071*t[8])/2 + (237*t[9])/8 + 
       (1575*t[10])/4 + 246*t[11] - (195*t[12])/8 + (205*t[13])/2 - 
       (9437*t[14])/24 + (349*t[15])/16 + 3*t[17] - 76*t[19] + 12*t[20] - 
       72*t[21] + 72*t[23] - 84*t[24] + 12*t[26] - 54*t[27] - 24*t[28] + 
       53*t[29] - 60*t[30] + 36*t[31] - 138*t[32] + 42*t[33] - 42*t[34] - 
       24*t[35] + 18*t[36] + 72*t[37] - 72*t[39] + 69*t[40] - 57*t[41] + 
       57*t[42] + (105*t[43])/4 - (207*t[44])/2 + 111*t[45] - 33*t[46] - 
       6*t[47] - (837*t[48])/4 + (483*t[49])/4 + (435*t[50])/4 - 45*t[51] - 
       (747*t[52])/4 - (483*t[53])/4 - (1629*t[54])/4 - 6*t[56] + 36*t[57] - 
       6*t[59] - (519*t[60])/2 - (1193*t[61])/2 - 171*t[62] + 51*t[63] + 
       (1173*t[64])/4 + (373*t[65])/3 - (1802*t[66])/3 + 6*t[68] - 24*t[70] + 
       24*t[71] - 84*t[72] + 120*t[73] - 144*t[74] - 240*t[75] - 123*t[76] - 
       78*t[77] + 135*t[78] + 90*t[79] - 378*t[80] + 69*t[81] - 66*t[82] + 
       234*t[83] - (195*t[84])/2 + (255*t[85])/2 + 777*t[86] + 
       (153*t[87])/2 - (303*t[88])/4 + (213*t[89])/2 + 6*t[93] + 24*t[95] + 
       24*t[96] - 24*t[97] - 576*t[98] + 720*t[99] + 420*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*(42*t[1] - (105*t[2])/2 + 
       (441*t[3])/4 + 226*t[4] - 15*t[5] + (337*t[6])/8 - (1023*t[7])/4 + 
       (1641*t[8])/4 - 438*t[9] - 215*t[10] + (2561*t[11])/8 + 
       (235*t[12])/4 + (7631*t[13])/24 - (4333*t[14])/24 - (665*t[15])/8 + 
       6*t[16] + 3*t[17] + 24*t[18] + 76*t[19] + 108*t[20] + 96*t[21] - 
       84*t[22] - 96*t[23] + 36*t[24] - 6*t[25] - 6*t[26] + 18*t[27] + 
       60*t[28] - 47*t[29] + 162*t[30] - 48*t[31] + 36*t[32] + 42*t[33] + 
       12*t[34] - 12*t[35] - 42*t[36] - 72*t[37] + 30*t[38] - 6*t[39] + 
       30*t[40] + 60*t[41] - 48*t[42] - (135*t[43])/4 + (249*t[44])/2 - 
       (45*t[45])/2 - 24*t[46] + 99*t[47] + (1701*t[48])/8 - (121*t[49])/4 - 
       (111*t[50])/8 + 82*t[51] - (369*t[52])/8 + (169*t[53])/4 - 
       (89*t[54])/8 - 6*t[56] - 12*t[57] + 12*t[58] - 3*t[59] + 19*t[60] + 
       259*t[61] + 152*t[62] - 377*t[63] - 407*t[64] + (3653*t[65])/6 - 
       (1363*t[66])/6 - 6*t[67] - 18*t[68] - 24*t[70] + 24*t[71] + 96*t[72] - 
       12*t[73] + 12*t[74] + 144*t[75] - 177*t[76] - 30*t[77] - 27*t[78] - 
       6*t[79] + 264*t[80] + 72*t[81] + 63*t[82] - 264*t[83] + (33*t[84])/2 - 
       206*t[85] - 474*t[86] + 422*t[87] + 211*t[88] + (343*t[89])/2 - 
       t[91] - 6*t[92] + 12*t[93] + 6*t[94] - 12*t[97] - 576*t[98] + 
       720*t[99] + 420*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
       1 - w]*((-19*t[1])/6 - (2*t[2])/3 + (253*t[3])/24 - (205*t[4])/3 + 
       (1505*t[5])/16 - (175*t[6])/16 - (515*t[7])/24 + (209*t[8])/24 - 
       (3871*t[9])/48 + 52*t[10] - (3743*t[11])/48 + (337*t[12])/48 - 
       (3415*t[13])/216 - (2543*t[14])/24 + (719*t[15])/96 - (3*t[16])/2 + 
       t[22] - (17*t[25])/2 + (5*t[26])/2 + (23*t[27])/3 - (16*t[28])/3 - 
       (8*t[29])/3 - (40*t[30])/3 + 4*t[31] - (8*t[32])/3 + (8*t[33])/3 - 
       (32*t[34])/3 - 4*t[35] + (25*t[37])/2 + (11*t[38])/3 - (41*t[39])/6 - 
       (17*t[40])/6 + t[41]/6 - t[42]/6 + (14*t[43])/3 + (32*t[44])/3 - 
       t[45]/3 - t[46]/4 + 10*t[47] - (205*t[48])/48 + (407*t[49])/24 + 
       (321*t[50])/16 + (11*t[51])/8 - (273*t[52])/16 + (157*t[53])/24 - 
       (421*t[54])/16 + (25*t[59])/4 - (5357*t[60])/24 - (977*t[61])/3 + 
       (4445*t[62])/48 - (5737*t[63])/48 + (371*t[64])/4 + (5503*t[65])/36 + 
       (5699*t[66])/36 - t[68] - 6*t[70] + 6*t[71] - 14*t[72] - 3*t[74] + 
       (80*t[76])/3 + 15*t[77] - (343*t[78])/6 + (22*t[80])/3 - 
       (33*t[81])/4 + (41*t[82])/4 - (125*t[84])/4 + (941*t[85])/24 + 
       24*t[86] + (1775*t[87])/24 + (815*t[88])/48 + (289*t[89])/4 - 
       t[90]/2 + 6*t[95] + 5*t[96] - (41*t[97])/6 + 128*t[98] - 260*t[99] + 
       481*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (t[1]/3 + (41*t[2])/12 + (241*t[3])/24 + 8*t[4] + (239*t[5])/12 - 
       (571*t[6])/24 + (29*t[7])/4 - (481*t[8])/12 - (211*t[9])/8 + 
       (339*t[10])/4 - (463*t[11])/6 - (589*t[12])/24 - (205*t[13])/8 - 
       (11539*t[14])/144 - (3541*t[15])/216 - t[16]/2 - (43*t[25])/2 + 
       (31*t[26])/2 + 5*t[27] - (5*t[29])/6 + (74*t[30])/3 + (20*t[31])/3 + 
       t[32] - t[33] - (23*t[34])/3 + 4*t[36] + 4*t[37] + (29*t[38])/3 - 
       (35*t[39])/6 + (23*t[40])/6 + (25*t[43])/3 + (25*t[44])/3 + 
       (28*t[45])/3 + (11*t[46])/4 - (20*t[47])/3 - (241*t[48])/12 + 
       (131*t[49])/12 + (129*t[50])/4 + (119*t[51])/48 - (319*t[52])/12 + 
       (67*t[53])/12 - (307*t[54])/12 - (191*t[59])/12 - (1549*t[60])/12 - 
       (1925*t[61])/8 + (1223*t[62])/12 - 38*t[63] - (1391*t[64])/48 + 
       (2533*t[65])/72 + (3821*t[66])/24 - (5*t[67])/2 + t[68]/2 - 26*t[69] + 
       2*t[70] - 2*t[71] - 14*t[72] - 6*t[74] + 12*t[75] + (38*t[76])/3 - 
       (4*t[77])/3 - (169*t[78])/6 - 16*t[79] - 27*t[80] - (119*t[81])/12 + 
       (113*t[82])/12 - 16*t[83] - (745*t[84])/24 + (623*t[85])/12 - 
       (68*t[86])/3 + (17*t[87])/2 - (63*t[88])/4 + (2851*t[89])/48 + t[90] + 
       6*t[95] + 7*t[96] - (41*t[97])/6 + 128*t[98] - 260*t[99] + 
       481*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      (-11*t[1] + 72*t[2] + (817*t[3])/8 + (637*t[4])/8 - (391*t[5])/16 + 
       (87*t[6])/8 - (1023*t[7])/8 - (863*t[8])/8 - (2365*t[9])/16 + 
       (1365*t[10])/16 - (1295*t[11])/4 - (795*t[12])/8 - (6041*t[13])/36 - 
       (7807*t[14])/32 + (2023*t[15])/288 - 8*t[18] + t[20] - 8*t[21] + 
       5*t[22] + 8*t[23] - 8*t[24] - 13*t[25] + (21*t[26])/2 + 13*t[27] + 
       20*t[30] + 3*t[32] - 2*t[33] - 19*t[34] + 6*t[35] + 5*t[36] - 
       4*t[37] + 2*t[38] + 5*t[39] - (7*t[40])/2 - (15*t[41])/4 - t[42]/4 - 
       (79*t[43])/4 - 13*t[44] + (105*t[45])/4 + (5*t[46])/2 - 
       (345*t[47])/4 + (91*t[48])/8 - (479*t[49])/16 + (339*t[50])/8 + 
       (231*t[51])/32 - (211*t[52])/8 + (351*t[53])/16 - 8*t[54] + t[56] - 
       4*t[57] - (3*t[58])/2 - (5*t[59])/2 - (2673*t[60])/8 - 
       (4265*t[61])/8 + (7773*t[62])/16 + (2179*t[63])/16 - (6535*t[64])/16 + 
       (387*t[65])/8 + (22073*t[66])/24 + 16*t[70] - 16*t[71] - 2*t[72] - 
       46*t[73] + 18*t[74] + 56*t[75] - 74*t[76] - (9*t[77])/2 + 
       (141*t[78])/2 + 6*t[79] - 258*t[80] - (73*t[81])/2 + (201*t[82])/4 + 
       28*t[83] - (243*t[84])/8 - (443*t[85])/8 - 124*t[86] + 
       (1657*t[87])/8 + (1665*t[88])/16 + (599*t[89])/16 - 12*t[96] - 
       (23*t[97])/2 - 576*t[98] + 674*t[99] + 482*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*(-t[1] + 52*t[2] - 
       (1161*t[3])/8 - (63*t[4])/8 - (683*t[5])/8 + (2851*t[6])/16 - 
       (419*t[7])/4 + 496*t[8] + (241*t[9])/2 - (79*t[10])/16 - 
       (1515*t[11])/16 + (419*t[12])/16 - (731*t[13])/72 + (5443*t[14])/32 + 
       (1651*t[15])/72 - t[24] + 7*t[25] - t[26] + 2*t[27] + 6*t[28] - 
       (5*t[29])/2 - (35*t[30])/2 + t[31] + 19*t[32] + 8*t[33] - 11*t[34] - 
       9*t[35] + 18*t[36] + 3*t[37] - 4*t[38] - 8*t[39] - (5*t[40])/2 - 
       (3*t[41])/2 + (3*t[42])/2 + (3*t[43])/2 - (143*t[44])/2 + 
       (33*t[45])/2 + (19*t[46])/2 - (25*t[47])/2 + (1005*t[48])/16 - 
       (633*t[49])/16 - (1195*t[50])/16 + (317*t[51])/32 + (1611*t[52])/16 + 
       (465*t[53])/16 + (2505*t[54])/16 + 2*t[58] - t[59] + (1379*t[60])/4 - 
       64*t[61] + (267*t[62])/4 - (1447*t[63])/4 - (1659*t[64])/4 + 
       (205*t[65])/4 + (1607*t[66])/12 - t[67]/2 + 2*t[68] + 32*t[69] + 
       14*t[70] - 14*t[71] - 20*t[72] - 20*t[73] + 20*t[74] + 52*t[75] - 
       (653*t[76])/4 + 2*t[77] + (339*t[78])/4 - 121*t[79] - 52*t[80] + 
       2*t[81] - 11*t[82] - 13*t[83] + (353*t[84])/4 + (163*t[85])/4 - 
       4*t[86] - 45*t[87] + (43*t[88])/2 + (1485*t[89])/8 - t[91]/3 - 
       t[92]/2 + 2*t[93] + t[94]/2 - 8*t[95] - 18*t[96] - 5*t[97] - 
       576*t[98] + 674*t[99] + 482*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u]*(-3*t[1] + (243*t[2])/8 + 
       (87*t[3])/4 + (41*t[4])/8 + (831*t[5])/16 + (537*t[6])/16 - 
       (129*t[7])/2 - (149*t[8])/2 - (1441*t[9])/16 + (155*t[10])/16 - 
       (1783*t[11])/16 - (61*t[12])/4 - (793*t[13])/24 - (3105*t[14])/32 + 
       (161*t[15])/96 - 6*t[18] - 6*t[21] - 6*t[22] + 6*t[23] - 6*t[24] - 
       6*t[25] + (33*t[26])/4 + 9*t[27] + 35*t[28] - 12*t[29] + 9*t[30] + 
       6*t[31] + 3*t[32] - 3*t[33] - (27*t[34])/2 - 12*t[35] + 15*t[36] - 
       (3*t[38])/2 + 14*t[39] - (33*t[40])/4 - (21*t[41])/2 + (15*t[42])/2 + 
       (29*t[43])/8 - t[44] - (37*t[45])/4 - 7*t[46] + (141*t[47])/4 + 
       (139*t[48])/16 - (163*t[49])/16 + (531*t[50])/16 + (179*t[51])/32 - 
       (363*t[52])/16 + (163*t[53])/16 - (841*t[54])/16 - (3*t[58])/4 - 
       (39*t[59])/8 - (197*t[60])/2 - (1183*t[61])/4 + (523*t[62])/4 - 
       (283*t[63])/4 - (857*t[64])/8 - 23*t[65] + (1169*t[66])/4 + 12*t[70] - 
       12*t[71] + 6*t[74] - 18*t[76] - (15*t[77])/2 - (3*t[78])/4 - 
       (135*t[80])/2 - (63*t[81])/4 + 28*t[82] - (15*t[84])/2 - 
       (15*t[85])/4 + (31*t[86])/2 + (243*t[87])/4 + (243*t[88])/8 + 
       (111*t[89])/4 - (15*t[97])/4 - 306*t[98] + 180*t[99] + 504*t[100]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - v]*((-11*t[1])/2 + (211*t[2])/8 - 
       64*t[3] + (203*t[4])/8 - (535*t[5])/16 + (297*t[6])/16 - 
       (259*t[7])/8 + (579*t[8])/8 + (703*t[9])/16 - (1423*t[10])/16 - 
       (163*t[11])/16 - (247*t[12])/8 + (1079*t[13])/18 + (195*t[14])/32 - 
       (4331*t[15])/96 + 2*t[16] + 24*t[25] - 18*t[26] - 6*t[27] - 12*t[28] - 
       21*t[29] - (35*t[30])/2 + 8*t[31] + (87*t[32])/4 - 3*t[33] + 
       (33*t[34])/2 + 30*t[35] - 17*t[36] - 2*t[37] - 6*t[38] - (5*t[39])/4 - 
       (43*t[40])/4 - (3*t[41])/4 + (3*t[42])/4 + t[43] - (17*t[44])/4 - 
       (15*t[45])/4 - (33*t[46])/2 + (63*t[47])/4 + (155*t[48])/16 + 
       (913*t[49])/16 - (241*t[50])/16 - (325*t[51])/32 + (481*t[52])/16 - 
       (1121*t[53])/16 - (221*t[54])/16 + (135*t[59])/8 + (115*t[60])/4 - 
       (1647*t[61])/4 - (17*t[62])/8 - (83*t[63])/8 + (2271*t[64])/8 + 
       (193*t[65])/12 + (610*t[66])/3 - (3*t[67])/2 - 6*t[68] + 24*t[70] - 
       24*t[71] - 33*t[72] + 50*t[73] + 9*t[74] - 141*t[75] - (81*t[76])/4 - 
       (3*t[77])/2 - 45*t[78] - 21*t[79] - (281*t[80])/2 + (69*t[81])/4 - 
       (71*t[82])/4 + 70*t[83] + (165*t[84])/4 + (229*t[85])/4 + 239*t[86] + 
       (7*t[87])/2 + (81*t[88])/4 + (193*t[89])/4 - (3*t[92])/2 + 
       (3*t[94])/2 - 6*t[95] - 15*t[96] + (3*t[97])/4 - 306*t[98] + 
       180*t[99] + 504*t[100]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-t[1] - (47*t[2])/2 + (225*t[3])/4 - 
       (439*t[4])/8 + (609*t[5])/16 - (23*t[6])/2 - t[7]/4 - 120*t[8] - 
       (591*t[9])/16 + (907*t[10])/16 - (1035*t[11])/8 + (59*t[12])/8 - 
       (1205*t[13])/24 - (7705*t[14])/96 + (439*t[15])/288 - 2*t[17] - 
       4*t[19] + 6*t[20] - 2*t[21] + 6*t[22] + 6*t[23] - 9*t[24] + t[27] - 
       8*t[28] + (11*t[29])/2 + 18*t[30] + 6*t[31] - 10*t[32] - 2*t[33] + 
       7*t[34] + 10*t[35] + 9*t[37] - t[38]/2 - (31*t[39])/2 + 10*t[40] - 
       3*t[41] + 3*t[42] + (53*t[43])/8 - (23*t[44])/4 - (55*t[45])/2 + 
       (3*t[46])/2 + 35*t[47] - 37*t[48] + (97*t[49])/16 - 2*t[50] - 
       (97*t[51])/32 - 11*t[52] - (65*t[53])/16 + (75*t[54])/8 + 
       (3*t[55])/2 + t[56] + 2*t[57] + (7*t[59])/4 - (1059*t[60])/8 - 
       (2413*t[61])/8 + (2413*t[62])/16 + (1107*t[63])/16 - (1089*t[64])/16 + 
       (2081*t[65])/24 + (2637*t[66])/8 + t[67]/2 + 4*t[68] + 10*t[69] - 
       6*t[70] + 6*t[71] - 24*t[72] - 8*t[73] - 21*t[74] + 12*t[75] - 
       5*t[76] + 8*t[77] + (5*t[78])/2 - 12*t[79] - 12*t[80] - 13*t[81] + 
       (41*t[82])/2 + 3*t[83] - (441*t[84])/8 + (125*t[85])/8 - 
       (73*t[86])/2 + (195*t[87])/8 + (51*t[88])/16 + (851*t[89])/16 + 
       t[91]/6 + 4*t[95] + 3*t[96] - t[97]/2 + 120*t[98] - 204*t[99] + 
       535*t[100]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((31*t[1])/4 - (17*t[2])/2 + (281*t[3])/8 - (787*t[4])/8 + 23*t[5] - 
       (1051*t[6])/16 + (59*t[7])/8 - (609*t[8])/8 - (103*t[9])/2 + 
       (1887*t[10])/16 - (1755*t[11])/16 + (537*t[12])/16 - 
       (2275*t[13])/144 - (6725*t[14])/96 - (343*t[15])/72 + (5*t[16])/2 - 
       2*t[17] + 6*t[18] + 4*t[19] + 4*t[20] - 2*t[21] + 14*t[22] + 4*t[23] - 
       8*t[24] - 9*t[25] + 11*t[26] + 19*t[27] - 14*t[28] - (13*t[29])/2 + 
       13*t[30] + 4*t[31] + 5*t[32] - 10*t[33] + (15*t[34])/2 + 16*t[35] + 
       7*t[36] + 12*t[38] - 4*t[39] - (3*t[40])/2 - (7*t[41])/4 + 
       (3*t[42])/4 + t[43]/8 + (69*t[44])/4 - (147*t[45])/4 + 3*t[46] + 
       61*t[47] - (691*t[48])/16 - (557*t[49])/16 + (409*t[50])/16 + 
       (443*t[51])/32 - (177*t[52])/16 + (541*t[53])/16 + (145*t[54])/16 + 
       2*t[56] + 2*t[57] + t[58] - 9*t[59] - (343*t[60])/2 - 319*t[61] + 
       (51*t[62])/4 - (627*t[63])/4 + (123*t[64])/2 + (2119*t[65])/12 + 
       (2303*t[66])/12 - (7*t[67])/2 - 8*t[68] + 10*t[69] - 10*t[70] + 
       10*t[71] + 14*t[72] - 31*t[74] - 16*t[75] + 20*t[76] + 6*t[77] - 
       31*t[78] + 8*t[79] + 6*t[80] - (51*t[81])/2 + (75*t[82])/2 + 
       45*t[83] - (135*t[84])/4 + (21*t[85])/2 + 67*t[86] + (183*t[87])/2 + 
       (183*t[88])/4 + (301*t[89])/4 - 2*t[92] + 2*t[93] + 4*t[94] + t[97] + 
       120*t[98] - 204*t[99] + 535*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*((171*t[1])/4 + (459*t[2])/2 + 
       (399*t[3])/2 + (177*t[4])/8 + (2187*t[5])/8 + 32*t[6] - (729*t[7])/4 + 
       (105*t[8])/4 - (3717*t[9])/8 + (3315*t[10])/16 - (681*t[11])/4 - 
       (3915*t[12])/16 - (391*t[13])/24 - (3365*t[14])/32 + (922*t[15])/3 + 
       2*t[18] + (9*t[20])/2 - (3*t[22])/2 - 24*t[25] + 3*t[29] + 33*t[30] - 
       12*t[31] + (27*t[32])/2 + 3*t[34] - 36*t[35] - 18*t[37] + 24*t[38] - 
       (105*t[41])/2 + (101*t[42])/2 - (147*t[43])/4 + 12*t[44] - 
       (9*t[45])/2 - 198*t[47] - 45*t[48] + (21*t[49])/16 + 45*t[50] - 
       (21*t[51])/32 - 45*t[52] - (21*t[53])/16 - (333*t[54])/8 - 
       (41*t[59])/2 - (1419*t[60])/8 + (33*t[61])/8 + (3309*t[62])/16 + 
       (6087*t[63])/16 - (17811*t[64])/16 + (11*t[65])/8 + (5153*t[66])/8 + 
       (57*t[69])/2 - 33*t[73] + 36*t[74] + 21*t[75] + (15*t[77])/2 - 
       60*t[79] - 309*t[80] - (57*t[81])/2 + (57*t[82])/2 + (525*t[83])/4 - 
       (183*t[84])/8 - (195*t[85])/8 - 411*t[86] + (705*t[87])/8 + 
       (705*t[88])/16 - (3441*t[89])/16 - 288*t[98] + 288*t[99] + 
       (1155*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (6*t[1] + (1225*t[2])/4 - (315*t[3])/8 + (297*t[4])/8 + 
       (1221*t[5])/16 - (3741*t[6])/16 + (1683*t[7])/8 - (417*t[8])/8 - 
       (243*t[9])/16 - (1965*t[10])/16 + (4665*t[11])/16 - (309*t[12])/4 + 
       (3617*t[13])/48 + (4869*t[14])/32 + (18287*t[15])/96 - 12*t[19] - 
       (3*t[23])/2 - (9*t[24])/2 + 36*t[29] - (153*t[30])/2 + (9*t[31])/2 + 
       (105*t[32])/2 - 60*t[33] - 3*t[34] - 111*t[35] - 36*t[37] - 15*t[41] + 
       15*t[42] - (231*t[44])/2 + 24*t[45] - 48*t[47] - (2121*t[48])/16 + 
       (315*t[49])/16 + (1707*t[50])/16 - (315*t[51])/32 - (1707*t[52])/16 - 
       (315*t[53])/16 - (4185*t[54])/16 - (131*t[59])/2 - (465*t[60])/4 - 
       (1197*t[61])/4 - (153*t[62])/4 + 540*t[63] - (5109*t[64])/8 + 
       (69*t[65])/4 + 61*t[66] - 3*t[67] + 87*t[74] - 96*t[75] - 24*t[76] - 
       12*t[77] + 78*t[78] - (231*t[79])/2 - 33*t[81] + 30*t[82] + 
       (585*t[83])/2 - (69*t[84])/4 + (249*t[85])/2 + (21*t[86])/2 - 
       132*t[87] - (255*t[88])/4 - (1719*t[89])/8 + 12*t[95] - 36*t[96] - 
       24*t[97] - 288*t[98] + 288*t[99] + (1155*t[100])/2) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-59*t[1])/4 + (99*t[2])/4 - (1275*t[3])/16 - (3875*t[4])/24 - 
       (5105*t[5])/96 - (4457*t[6])/48 + (2545*t[7])/48 - (221*t[8])/48 + 
       (8971*t[9])/32 + (6461*t[10])/48 - (2351*t[11])/8 + (8849*t[12])/96 - 
       (26773*t[13])/144 - (9043*t[14])/288 - (19217*t[15])/192 - 
       (5*t[16])/3 + (13*t[17])/6 + (10*t[18])/3 - t[19] - 10*t[20] - 
       (2*t[21])/3 - (19*t[22])/6 - t[23]/3 - (8*t[24])/3 - (130*t[25])/3 + 
       (8*t[26])/3 + 9*t[27] - (79*t[28])/3 + (10*t[29])/3 - (124*t[30])/3 - 
       2*t[31] + (17*t[32])/3 + (23*t[33])/3 + (505*t[34])/6 + 52*t[35] - 
       (55*t[36])/3 + (17*t[37])/3 - 16*t[38] - (139*t[39])/3 + 
       (91*t[40])/6 - (47*t[41])/6 + (26*t[42])/3 - (1201*t[43])/24 - 
       (197*t[44])/6 - (109*t[45])/2 - 10*t[46] + (269*t[47])/3 - 
       (1105*t[48])/48 + (371*t[49])/8 - (75*t[50])/16 - (89*t[51])/48 + 
       (505*t[52])/48 - (1273*t[53])/24 + (527*t[54])/16 - t[56]/3 - 
       (4*t[57])/3 - 2*t[58] - (157*t[59])/12 - (5899*t[60])/24 - 
       (14435*t[61])/24 - (11669*t[62])/48 - (1217*t[63])/16 + 
       (637*t[64])/16 + (3968*t[65])/9 + (5692*t[66])/9 - (7*t[67])/3 + 
       (5*t[68])/3 - 2*t[69] - (4*t[70])/3 + t[71] + 53*t[72] - 112*t[73] - 
       55*t[74] + 98*t[75] + (353*t[76])/6 + (91*t[77])/6 - (289*t[78])/6 + 
       13*t[79] + (145*t[80])/6 - 10*t[81] + (491*t[82])/4 + 173*t[83] - 
       (643*t[84])/8 + (1301*t[85])/8 + (1859*t[86])/6 + (655*t[87])/24 + 
       (637*t[88])/16 - (601*t[89])/48 + t[91]/3 - (7*t[92])/3 - 2*t[93] + 
       (7*t[94])/3 - (16*t[95])/3 - (56*t[96])/3 + (46*t[97])/3 + 450*t[98] - 
       734*t[99] + 771*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 
       1 - u]*((-10*t[1])/3 - (199*t[2])/12 + (1093*t[3])/16 + (302*t[4])/3 + 
       (2441*t[5])/48 + (4489*t[6])/96 - (5165*t[7])/24 + (637*t[8])/24 - 
       10*t[9] + (1057*t[10])/4 - (11645*t[11])/96 + (831*t[12])/16 - 
       (43585*t[13])/432 + (967*t[14])/32 - (2857*t[15])/32 - (5*t[17])/6 - 
       (11*t[18])/3 - 2*t[19] + 8*t[20] - (10*t[21])/3 + (40*t[22])/3 + 
       (22*t[23])/3 + (10*t[24])/3 + (2*t[25])/3 + 6*t[26] - 8*t[27] + 
       t[28] + (165*t[29])/4 + (13*t[30])/3 - t[31]/3 - (11*t[32])/3 - 
       (19*t[33])/6 + 24*t[34] + 6*t[35] - 26*t[36] + (41*t[37])/3 - 
       (33*t[38])/2 + (33*t[39])/2 - (118*t[40])/3 - (5*t[41])/6 - 
       (7*t[42])/3 - (161*t[43])/12 - (1079*t[44])/12 - (105*t[45])/2 - 
       (4*t[46])/3 + (269*t[47])/6 + (5359*t[48])/96 + (1903*t[49])/24 - 
       (9833*t[50])/96 - (2435*t[51])/48 + (13609*t[52])/96 - (373*t[53])/8 - 
       (3343*t[54])/96 + (4*t[55])/3 - t[56]/3 - (4*t[57])/3 - t[58] + 
       (21*t[59])/2 - (6457*t[60])/48 - (26249*t[61])/48 + (12487*t[62])/96 + 
       (5081*t[63])/96 - (7685*t[64])/96 - (18257*t[65])/48 + 
       (47651*t[66])/144 - (55*t[68])/3 + 7*t[69] + (7*t[70])/3 - 
       (8*t[71])/3 + 35*t[72] - 96*t[73] + (4*t[74])/3 + 96*t[75] + 
       (320*t[76])/3 + 15*t[77] - (556*t[78])/3 - 10*t[79] - 104*t[80] - 
       (8*t[81])/3 - 31*t[82] + 19*t[83] - (9647*t[84])/48 - 
       (1171*t[85])/48 - (583*t[86])/3 - (6587*t[87])/48 - (9307*t[88])/96 - 
       (1069*t[89])/32 + 30*t[95] + (154*t[96])/3 + (211*t[97])/6 + 
       450*t[98] - 734*t[99] + 771*t[100]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-26*t[1] - (19*t[2])/2 + (239*t[3])/8 - 
       (199*t[4])/4 + (319*t[5])/4 - (275*t[6])/4 - (211*t[7])/2 - 
       (173*t[8])/4 - (247*t[9])/2 + (415*t[10])/4 - (661*t[11])/4 - 
       9*t[12] - (2863*t[13])/72 - (6061*t[14])/48 - (121*t[15])/48 + t[16] - 
       t[23] - 17*t[25] + 27*t[26] + 6*t[27] + 4*t[28] + (5*t[29])/2 + 
       (31*t[30])/2 + 37*t[31] - 2*t[32] + 2*t[33] + 5*t[34] + 26*t[35] - 
       t[36] + 14*t[37] - 12*t[38] - 21*t[39] + (79*t[40])/4 - (5*t[41])/2 + 
       (5*t[42])/2 + 14*t[43] + (15*t[44])/4 - (7*t[45])/2 + (37*t[46])/2 + 
       7*t[47] - (31*t[48])/2 - t[49]/4 - 3*t[50] - (205*t[51])/16 - 
       4*t[52] - (53*t[53])/4 - (115*t[54])/4 - 2*t[58] - (27*t[59])/2 - 
       (13*t[60])/2 - 407*t[61] + (441*t[62])/4 + (159*t[63])/4 - 
       (289*t[64])/4 + (59*t[65])/2 + (1609*t[66])/6 - 3*t[67] - t[68] - 
       26*t[69] + 16*t[70] - 16*t[71] - 7*t[72] - 12*t[73] - 13*t[74] + 
       26*t[75] - 10*t[76] - 12*t[77] + 5*t[78] - 74*t[79] - 46*t[80] - 
       26*t[81] + 35*t[82] - 35*t[83] - 31*t[84] + (133*t[85])/2 - 19*t[86] - 
       40*t[87] - 7*t[88] + (647*t[89])/8 + 6*t[93] - 2*t[95] - 12*t[96] - 
       5*t[97] - 108*t[98] - 32*t[99] + 1013*t[100]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((25*t[1])/2 - (17*t[2])/2 + (383*t[3])/4 - (21*t[4])/2 + 
       (1007*t[5])/8 - (371*t[6])/4 + (95*t[7])/8 - (377*t[8])/8 - 
       (429*t[9])/2 + (737*t[10])/8 - (1473*t[11])/8 - (271*t[12])/8 - 
       (23251*t[13])/144 - (4197*t[14])/16 - (1141*t[15])/36 - 8*t[16] - 
       2*t[22] + t[23] - 5*t[25] - 8*t[26] + 12*t[27] - 34*t[28] + 4*t[29] + 
       t[30] + 22*t[31] + t[32] - t[33] - 5*t[34] + 10*t[35] - 7*t[36] + 
       28*t[37] + 17*t[38] - 16*t[39] + (5*t[41])/2 - (5*t[42])/2 - 
       (13*t[43])/8 - 24*t[44] + (17*t[45])/2 - (43*t[46])/2 - 15*t[47] + 
       (11*t[48])/8 + 65*t[49] + (319*t[50])/8 - (287*t[51])/16 - 
       (295*t[52])/8 - (113*t[53])/2 - (789*t[54])/8 + 2*t[58] - 
       (9*t[59])/2 - (2175*t[60])/4 - (2255*t[61])/4 - (3*t[62])/8 + 
       (571*t[63])/8 + 258*t[64] + (323*t[65])/3 + (1049*t[66])/2 + 5*t[68] + 
       2*t[70] - 2*t[71] - 33*t[72] - 36*t[73] + 3*t[74] + 32*t[75] - 
       9*t[76] - 11*t[77] - 56*t[78] + 36*t[79] - 119*t[80] - 52*t[81] + 
       76*t[82] + 103*t[83] - 155*t[84] - 22*t[85] + (403*t[86])/2 + 
       (417*t[87])/2 + (469*t[88])/4 + (99*t[89])/4 - 2*t[95] + 10*t[96] + 
       7*t[97] - 108*t[98] - 32*t[99] + 1013*t[100]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - v]*(26*t[1] + (551*t[2])/4 - 
       (993*t[3])/4 - (1001*t[4])/4 + (813*t[5])/8 + (819*t[6])/8 - 
       (749*t[7])/4 + (1697*t[8])/4 - (577*t[9])/8 + (1069*t[10])/8 - 
       (1441*t[11])/8 - (383*t[12])/4 + (257*t[13])/6 + (1463*t[14])/16 + 
       (2231*t[15])/48 - 2*t[16] - 4*t[25] - 2*t[27] - 78*t[29] - 47*t[30] - 
       40*t[31] + 17*t[32] + 8*t[33] + 91*t[34] - 28*t[35] + 10*t[36] - 
       42*t[37] + 5*t[38] - (13*t[39])/2 - (5*t[40])/2 - (3*t[41])/2 + 
       (3*t[42])/2 + 50*t[43] - 56*t[44] + (57*t[45])/2 + 5*t[46] - 
       (101*t[47])/2 + (253*t[48])/8 - (407*t[49])/8 - (691*t[50])/8 + 
       (299*t[51])/16 + (851*t[52])/8 + (295*t[53])/8 + (1197*t[54])/8 + 
       t[59]/4 - (425*t[60])/4 - (3103*t[61])/4 + (1937*t[62])/8 - 
       (3945*t[63])/8 + (3577*t[64])/8 + (7031*t[65])/12 + (5939*t[66])/12 - 
       t[67] + 4*t[68] + 20*t[70] - 20*t[71] + 20*t[72] + 12*t[73] + 
       8*t[74] - 40*t[75] - 142*t[76] + 5*t[77] - (91*t[78])/2 - 14*t[79] + 
       31*t[80] + (173*t[81])/2 + (39*t[82])/2 - 52*t[83] + (195*t[84])/4 - 
       (139*t[85])/4 + 52*t[86] + (1715*t[87])/4 + (1907*t[88])/8 + 
       (1947*t[89])/8 - t[91]/3 - t[92] + 4*t[93] + t[94] - 8*t[95] - 
       22*t[96] - (21*t[97])/2 - 684*t[98] + 504*t[99] + 1136*t[100]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u]*((9*t[1])/2 + (223*t[2])/4 + 97*t[3] + 
       (683*t[4])/4 - (857*t[5])/8 + (255*t[6])/8 + (357*t[7])/4 - 
       (1457*t[8])/4 + (1017*t[9])/8 - (1405*t[10])/8 - (2191*t[11])/8 - 
       (337*t[12])/4 - (5767*t[13])/72 - (4907*t[14])/16 - (9703*t[15])/144 - 
       8*t[18] - 8*t[21] + 2*t[22] + 8*t[23] - 8*t[24] - 8*t[25] + 
       (23*t[26])/2 + 28*t[27] + 42*t[28] + 24*t[29] - 46*t[30] - 2*t[31] + 
       12*t[32] - 12*t[33] - 22*t[34] - 14*t[36] - t[38] + 30*t[39] + 
       (5*t[40])/2 - 40*t[41] + 36*t[42] - 28*t[43] + 62*t[44] - 30*t[45] + 
       7*t[46] + 122*t[47] - (333*t[48])/8 - (373*t[49])/8 + (875*t[50])/8 + 
       (553*t[51])/16 - (779*t[52])/8 + (373*t[53])/8 - (189*t[54])/8 + 
       t[56] - 8*t[57] - t[58]/2 - (103*t[59])/4 - 128*t[60] - 742*t[61] + 
       (1345*t[62])/4 - (1117*t[63])/4 - (869*t[64])/4 - (203*t[65])/6 + 
       719*t[66] + 16*t[70] - 16*t[71] + 8*t[74] - 29*t[76] - 54*t[77] + 
       (3*t[78])/2 - 185*t[80] - (47*t[81])/2 + (77*t[82])/2 - 6*t[84] - 
       (19*t[85])/2 + 186*t[86] + (183*t[87])/2 + (183*t[88])/4 + 
       (369*t[89])/4 - (13*t[97])/2 - 684*t[98] + 504*t[99] + 1136*t[100]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((-213*t[1])/8 + (1569*t[2])/8 + 268*t[3] + (1353*t[4])/8 - 92*t[5] + 
       (3*t[6])/4 - (4965*t[7])/16 - (6187*t[8])/16 - (5501*t[9])/16 + 
       (403*t[10])/2 - (14615*t[11])/16 - (3401*t[12])/16 - 
       (15979*t[13])/32 - (22261*t[14])/32 + (3151*t[15])/96 - (39*t[18])/2 + 
       3*t[20] - 21*t[21] + (27*t[22])/2 + 18*t[23] - 21*t[24] - 33*t[25] + 
       (105*t[26])/4 + 33*t[27] - 5*t[28] - 12*t[29] + 69*t[30] + 
       (27*t[32])/2 - (21*t[33])/2 - (123*t[34])/4 + 18*t[35] + 20*t[36] - 
       12*t[37] + 3*t[38] + (21*t[39])/2 - 18*t[40] - (75*t[41])/8 + 
       (3*t[42])/8 - (1101*t[43])/16 - 41*t[44] + (657*t[45])/8 + 
       (13*t[46])/4 - (975*t[47])/4 + (69*t[48])/16 - (1675*t[49])/16 + 
       (2909*t[50])/16 + (1053*t[51])/32 - (1841*t[52])/16 + 
       (1291*t[53])/16 - (739*t[54])/16 + 3*t[56] - 12*t[57] - (3*t[58])/4 - 
       (97*t[59])/8 - (2103*t[60])/2 - 1623*t[61] + (22365*t[62])/16 + 
       (8667*t[63])/16 - (8355*t[64])/8 + (5971*t[65])/24 + (11205*t[66])/4 + 
       27*t[70] - 27*t[71] - 162*t[73] + 39*t[74] + 168*t[75] - 
       (909*t[76])/4 - 43*t[77] + (843*t[78])/4 + 18*t[79] - 816*t[80] - 
       114*t[81] + (801*t[82])/4 + 150*t[83] - (879*t[84])/8 - 
       (1521*t[85])/8 - (765*t[86])/2 + (5223*t[87])/8 + (5247*t[88])/16 + 
       (711*t[89])/8 - 36*t[96] - (129*t[97])/4 - 1782*t[98] + 1968*t[99] + 
       1680*t[100]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-17*t[1])/2 + (1277*t[2])/8 - (6151*t[3])/16 - (207*t[4])/4 - 
       (4029*t[5])/16 + (8967*t[6])/16 - (2929*t[7])/8 + (11757*t[8])/8 + 
       (4433*t[9])/16 - (151*t[10])/2 - (5587*t[11])/16 + (1005*t[12])/16 - 
       (165*t[13])/16 + (1885*t[14])/4 + (1303*t[15])/24 + 2*t[16] - 
       3*t[24] + 29*t[25] - 11*t[26] + 6*t[27] + 18*t[28] - (9*t[29])/4 - 
       21*t[30] + 15*t[31] + (81*t[32])/2 + 24*t[33] - (21*t[34])/2 - 
       11*t[35] + 53*t[36] + t[37] - (75*t[38])/4 - (75*t[39])/4 - 
       (69*t[40])/4 - (27*t[41])/4 + (27*t[42])/4 + 5*t[43] - 
       (1665*t[44])/8 + (63*t[45])/2 + 23*t[46] - 30*t[47] + 
       (3183*t[48])/16 - (189*t[49])/2 - (3969*t[50])/16 + (171*t[51])/8 + 
       (5241*t[52])/16 + 60*t[53] + (7759*t[54])/16 + 6*t[58] - 
       (23*t[59])/4 + (1865*t[60])/2 - (2591*t[61])/8 + (5085*t[62])/16 - 
       (14573*t[63])/16 - (17527*t[64])/16 + (1069*t[65])/6 + 
       (1432*t[66])/3 - (3*t[67])/2 + 6*t[68] + 96*t[69] + 39*t[70] - 
       39*t[71] - 57*t[72] - 60*t[73] + (105*t[74])/2 + 140*t[75] - 
       483*t[76] - (21*t[77])/2 + (519*t[78])/2 - 400*t[79] - 150*t[80] + 
       (95*t[81])/4 - (41*t[82])/4 - 6*t[83] + (1009*t[84])/4 + 
       (1099*t[85])/8 - 31*t[86] - (1129*t[87])/8 + (599*t[88])/16 + 
       (4381*t[89])/8 - t[91] - (3*t[92])/2 + 6*t[93] + (3*t[94])/2 - 
       9*t[95] - 51*t[96] - 21*t[97] - 1782*t[98] + 1968*t[99] + 
       1680*t[100]) + HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - v]*
      ((-5*t[1])/2 + (1647*t[2])/8 - (1357*t[3])/4 - (1931*t[4])/8 - 
       (1049*t[5])/16 + 8*t[6] - (717*t[7])/8 + (2979*t[8])/8 + 
       (667*t[9])/16 - (901*t[10])/16 - (1727*t[11])/8 + (35*t[12])/8 + 
       (7967*t[13])/72 + (1715*t[14])/32 - (4439*t[15])/96 - 4*t[16] + 
       42*t[25] - 30*t[26] - 15*t[27] - 24*t[28] - 177*t[29] - (85*t[30])/2 - 
       30*t[31] + (39*t[32])/4 + 9*t[33] + (351*t[34])/2 + 36*t[35] + 
       20*t[36] - 35*t[37] - 9*t[38] - (127*t[39])/4 + (55*t[40])/4 - 
       (9*t[41])/4 + (9*t[42])/4 + (59*t[43])/2 - (25*t[44])/4 + 
       (33*t[45])/4 - 3*t[46] - (15*t[47])/4 - (111*t[48])/2 - 
       (469*t[49])/16 - 78*t[50] + (673*t[51])/32 + 93*t[52] + 
       (101*t[53])/16 + (1185*t[54])/8 + (189*t[59])/8 - (1043*t[60])/4 - 
       (6061*t[61])/4 + (2017*t[62])/8 - (4229*t[63])/8 + (3753*t[64])/4 + 
       (3355*t[65])/4 + (1737*t[66])/2 - 3*t[67] + 6*t[68] + 42*t[70] - 
       42*t[71] - 9*t[72] + 34*t[73] + 15*t[74] - 147*t[75] - 
       (1227*t[76])/4 - (81*t[77])/2 + (69*t[78])/2 + 6*t[79] - 
       (401*t[80])/2 + (453*t[81])/4 + (161*t[82])/4 + 62*t[83] + 82*t[84] - 
       (69*t[85])/2 + 366*t[86] + (2727*t[87])/4 + (2847*t[88])/8 + 
       290*t[89] - t[91]/2 - 3*t[92] + 6*t[93] + 3*t[94] - 6*t[95] - 
       21*t[96] - (45*t[97])/4 - 1206*t[98] + 882*t[99] + 1857*t[100]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u]*((27*t[1])/2 + (669*t[2])/8 + 
       (829*t[3])/8 + (1391*t[4])/8 - 8*t[5] + (2305*t[6])/16 + 
       (1039*t[7])/8 - (2453*t[8])/8 + (309*t[9])/8 - (3829*t[10])/16 - 
       (7435*t[11])/16 - (3527*t[12])/16 - (6089*t[13])/48 - 
       (30191*t[14])/96 - (691*t[15])/24 - 6*t[18] - 6*t[21] + 9*t[22] + 
       6*t[23] - 6*t[24] - 6*t[25] + (39*t[26])/4 + 21*t[27] + 106*t[28] + 
       18*t[29] - 42*t[30] + 9*t[31] + 9*t[32] - 9*t[33] - (51*t[34])/2 - 
       24*t[35] + 18*t[36] + (3*t[38])/2 + 43*t[39] - (7*t[40])/4 - 
       (123*t[41])/2 + (117*t[42])/2 - (223*t[43])/8 + 47*t[44] + 34*t[45] + 
       (23*t[46])/2 + (267*t[47])/4 - (275*t[48])/16 - (933*t[49])/16 + 
       (1469*t[50])/16 + (961*t[51])/32 - (1397*t[52])/16 + (933*t[53])/16 - 
       (407*t[54])/16 + (3*t[56])/2 - 6*t[57] + (3*t[58])/4 - (357*t[59])/8 - 
       82*t[60] - (2005*t[61])/2 + (3163*t[62])/8 - (4455*t[63])/8 - 
       (661*t[64])/4 + (133*t[65])/12 + 973*t[66] + 12*t[70] - 12*t[71] + 
       6*t[74] - 33*t[76] - 98*t[77] + (27*t[78])/4 - (525*t[80])/2 - 
       (93*t[81])/4 + (79*t[82])/2 + (9*t[84])/2 - (69*t[85])/4 + 469*t[86] + 
       (369*t[87])/4 + (369*t[88])/8 + 158*t[89] - (33*t[97])/4 - 
       1206*t[98] + 882*t[99] + 1857*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((-171*t[1])/4 + (899*t[2])/12 - 
       (1893*t[3])/8 - (1721*t[4])/4 - (685*t[5])/3 - (3909*t[6])/16 + 
       (4757*t[7])/24 + (905*t[8])/24 + (11233*t[9])/12 + (2407*t[10])/8 - 
       (13051*t[11])/16 + (3061*t[12])/12 - (4438*t[13])/9 - 
       (1727*t[14])/48 - (46271*t[15])/144 - 3*t[16] + (13*t[17])/2 + 
       10*t[18] - 3*t[19] - 30*t[20] - 2*t[21] - 11*t[22] - t[23] - 8*t[24] - 
       122*t[25] + 23*t[27] - 71*t[28] + (41*t[29])/2 - 121*t[30] - 2*t[31] + 
       (70*t[32])/3 + 18*t[33] + (497*t[34])/2 + 172*t[35] - 56*t[36] + 
       12*t[37] - 49*t[38] - (253*t[39])/2 + (71*t[40])/2 - (95*t[41])/4 + 
       (105*t[42])/4 - (1205*t[43])/8 - 103*t[44] - (637*t[45])/4 - 
       37*t[46] + 260*t[47] - (2165*t[48])/48 + 160*t[49] - (1253*t[50])/48 - 
       (41*t[51])/4 + (2333*t[52])/48 - 180*t[53] + (1535*t[54])/16 - t[56] - 
       4*t[57] - 6*t[58] - (155*t[59])/4 - (14885*t[60])/24 - 
       (12803*t[61])/8 - (40037*t[62])/48 - (14539*t[63])/48 + 
       (2431*t[64])/48 + (32357*t[65])/24 + (40067*t[66])/24 - 7*t[67] + 
       5*t[68] - 6*t[69] - 4*t[70] + 3*t[71] + 156*t[72] - 312*t[73] - 
       165*t[74] + 278*t[75] + (415*t[76])/2 + 62*t[77] - 160*t[78] + 
       50*t[79] + 66*t[80] - 17*t[81] + (677*t[82])/2 + 474*t[83] - 
       (5045*t[84])/24 + (12565*t[85])/24 + 984*t[86] - (283*t[87])/24 + 
       (3469*t[88])/48 + (167*t[89])/16 + t[91] - 7*t[92] - 6*t[93] + 
       7*t[94] - 16*t[95] - 56*t[96] + (93*t[97])/2 + 1536*t[98] - 
       2244*t[99] + 1911*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*((-21*t[1])/2 - (107*t[2])/2 + 
       (1579*t[3])/8 + (1329*t[4])/4 + (6361*t[5])/48 + (3917*t[6])/24 - 
       (5043*t[7])/8 + (1177*t[8])/8 + (593*t[9])/16 + (5971*t[10])/8 - 
       (3095*t[11])/12 + (9659*t[12])/48 - (731*t[13])/3 + 
       (23201*t[14])/144 - (78217*t[15])/288 - (5*t[17])/2 - 11*t[18] - 
       6*t[19] + 24*t[20] - 10*t[21] + 48*t[22] + (70*t[23])/3 + 10*t[24] + 
       2*t[25] + 18*t[26] - 24*t[27] + 16*t[28] + 113*t[29] + 24*t[30] - 
       5*t[31] - (31*t[32])/2 - 5*t[33] + (143*t[34])/2 + 18*t[35] - 
       76*t[36] + 41*t[37] - (101*t[38])/2 + 53*t[39] - (361*t[40])/3 - 
       2*t[41] - (15*t[42])/2 - (169*t[43])/4 - (1113*t[44])/4 - 171*t[45] - 
       (9*t[46])/2 + (289*t[47])/2 + (1283*t[48])/8 + (999*t[49])/4 - 
       (2761*t[50])/8 - (315*t[51])/2 + (3705*t[52])/8 - (607*t[53])/4 - 
       (899*t[54])/8 + 4*t[55] - 3*t[58] + 30*t[59] - (812*t[60])/3 - 
       (4562*t[61])/3 + 252*t[62] + (89*t[63])/3 - (562*t[64])/3 - 
       (7331*t[65])/6 + (8833*t[66])/12 - 55*t[68] + 21*t[69] + 7*t[70] - 
       8*t[71] + 99*t[72] - 264*t[73] + t[74] + 270*t[75] + (713*t[76])/2 + 
       66*t[77] - 594*t[78] - 6*t[79] - 305*t[80] + (25*t[81])/2 - 
       (265*t[82])/2 + 15*t[83] - (2353*t[84])/4 - (149*t[85])/4 - 
       476*t[86] - (2039*t[87])/4 - (2719*t[88])/8 - (767*t[89])/8 + 
       90*t[95] + 154*t[96] + 106*t[97] + 1536*t[98] - 2244*t[99] + 
       1911*t[100]) + HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u]*
      (15*t[1] + (243*t[2])/2 - (165*t[3])/2 - (577*t[4])/2 + (1553*t[5])/2 + 
       (2133*t[6])/4 - 318*t[7] + 777*t[8] - (2017*t[9])/2 + (693*t[10])/4 - 
       (2749*t[11])/4 - (1741*t[12])/4 - (569*t[13])/3 + (5441*t[14])/24 + 
       (1753*t[15])/6 + 3*t[26] - 48*t[27] + 312*t[28] - 120*t[29] + 
       144*t[30] + 72*t[31] - 24*t[32] + 24*t[33] - 24*t[34] - 144*t[35] + 
       216*t[36] + 6*t[38] + 48*t[39] - 43*t[40] - 48*t[41] + 48*t[42] + 
       71*t[43] - 204*t[44] + 279*t[45] - 12*t[46] - 324*t[47] + 
       (927*t[48])/4 + (15*t[49])/4 - (753*t[50])/4 - (615*t[51])/8 + 
       (705*t[52])/4 - (15*t[53])/4 - (489*t[54])/4 + 24*t[57] + 3*t[58] - 
       (87*t[59])/2 + 46*t[60] - 741*t[61] + 87*t[62] - 835*t[63] + 
       214*t[64] + (466*t[65])/3 + 747*t[66] - 30*t[76] - 98*t[77] + 
       15*t[78] - 210*t[80] - 15*t[81] + 39*t[82] + 24*t[84] - 27*t[85] + 
       822*t[86] + 63*t[87] + (63*t[88])/2 + (379*t[89])/2 - 9*t[97] - 
       1944*t[98] + 1224*t[99] + 2628*t[100]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - v]*(-192*t[1] + (241*t[2])/2 - 
       (243*t[3])/2 + (1299*t[4])/2 - (4015*t[5])/4 - 504*t[6] + 
       (1331*t[7])/2 - (1465*t[8])/2 + (3165*t[9])/4 - (5379*t[10])/4 + 
       (237*t[11])/2 + (993*t[12])/2 + (781*t[13])/2 - (2431*t[14])/8 - 
       (15631*t[15])/24 + 288*t[25] - 192*t[26] - 72*t[27] - 144*t[28] - 
       324*t[29] + 42*t[30] + 160*t[31] + 24*t[32] - 24*t[33] + 222*t[34] + 
       432*t[35] - 24*t[36] + 120*t[37] - 90*t[38] - 93*t[39] + 27*t[40] - 
       3*t[41] + 3*t[42] - 186*t[43] + 294*t[44] - 153*t[45] - 108*t[46] + 
       351*t[47] - 377*t[48] + (1665*t[49])/4 + 142*t[50] - (549*t[51])/8 - 
       142*t[52] - (1905*t[53])/4 - (681*t[54])/2 + (321*t[59])/2 - 
       (581*t[60])/2 - (6227*t[61])/2 - (1675*t[62])/4 + (3331*t[63])/4 + 
       (8407*t[64])/4 - (167*t[65])/2 + (8495*t[66])/6 - 12*t[67] - 
       24*t[68] + 144*t[70] - 144*t[71] - 288*t[72] + 264*t[73] + 48*t[74] - 
       912*t[75] - 456*t[76] - 198*t[77] + 231*t[78] + 24*t[79] - 
       1614*t[80] - 9*t[81] - 15*t[82] + 840*t[83] + (397*t[84])/2 + 
       (583*t[85])/2 + 2076*t[86] + (329*t[87])/2 + (289*t[88])/4 - 
       (429*t[89])/4 - 12*t[92] + 12*t[94] - 12*t[96] + 21*t[97] - 
       1944*t[98] + 1224*t[99] + 2628*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*(19*t[1] - (63*t[2])/4 - (205*t[3])/2 - 
       (61*t[4])/4 - (139*t[5])/4 - (111*t[6])/4 + (1023*t[7])/4 + 151*t[8] + 
       (929*t[9])/4 - (839*t[10])/8 + (1581*t[11])/4 + (93*t[12])/8 + 
       (12541*t[13])/72 + (12973*t[14])/48 + (283*t[15])/12 + (5*t[17])/2 + 
       2*t[18] - 28*t[21] + 22*t[23] - 48*t[24] - 4*t[31] + 8*t[32] - 
       8*t[33] + 16*t[34] + 8*t[39] - 8*t[40] - 13*t[41] + 21*t[42] + 
       (97*t[43])/4 - (53*t[45])/2 - (39*t[46])/2 + 83*t[47] + 
       (175*t[49])/8 + 18*t[50] + (139*t[51])/16 - 34*t[52] - (143*t[53])/8 - 
       (75*t[54])/4 + 4*t[58] - 22*t[59] + (459*t[60])/2 + (1389*t[61])/2 - 
       (1081*t[62])/2 - 115*t[63] + (305*t[64])/4 + (527*t[65])/2 - 
       (1541*t[66])/2 - 8*t[67] - 12*t[69] + 16*t[70] - 16*t[71] - 76*t[74] + 
       52*t[76] + 8*t[77] - 32*t[78] - 80*t[79] + 72*t[80] + 29*t[81] - 
       13*t[82] + 36*t[83] + 47*t[84] + (89*t[85])/2 + 238*t[86] - 
       (181*t[87])/2 - (181*t[88])/4 + (279*t[89])/4 + 9*t[94] + 288*t[98] - 
       288*t[99] - 234*t[100] - 48*t[101]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*(-8*t[1] + (133*t[2])/4 + (907*t[3])/4 + 
       (133*t[4])/2 + (747*t[5])/8 - (209*t[6])/2 + (25*t[7])/2 - 129*t[8] - 
       (2093*t[9])/8 - (297*t[10])/4 + (491*t[11])/4 - (91*t[12])/8 + 
       (1895*t[13])/36 - (713*t[14])/4 - (2611*t[15])/144 + 20*t[20] + 
       8*t[28] + 43*t[29] + 70*t[30] - 11*t[32] + 11*t[33] + 6*t[34] - 
       8*t[35] - 4*t[38] + 8*t[40] - 4*t[41] + 4*t[42] + (117*t[44])/2 - 
       16*t[45] + 16*t[47] - (149*t[48])/2 + (77*t[49])/4 + (31*t[50])/2 - 
       (93*t[51])/8 - (63*t[52])/2 - (77*t[53])/4 - (247*t[54])/2 - 
       25*t[59] - (1139*t[60])/4 + 7*t[61] + (977*t[62])/8 + (3305*t[63])/8 + 
       (373*t[64])/2 - (697*t[65])/6 + (347*t[66])/6 + t[67] - 8*t[69] + 
       32*t[70] - 32*t[71] - 28*t[74] - 80*t[75] + 48*t[76] - 4*t[77] - 
       64*t[78] - 16*t[79] + 32*t[80] + (39*t[81])/2 - (23*t[82])/2 + 
       86*t[83] - 92*t[84] - (111*t[85])/4 - 24*t[86] + (327*t[87])/4 - 
       (433*t[88])/8 - 125*t[89] + 36*t[95] + 24*t[96] - 8*t[97] + 
       288*t[98] - 288*t[99] - 234*t[100] - 48*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*
      ((39*t[1])/4 - (55*t[2])/8 - 50*t[3] - (85*t[4])/4 - (51*t[5])/4 - 
       (281*t[6])/16 + (1001*t[7])/8 + 76*t[8] + (457*t[9])/4 - 
       (489*t[10])/8 + (3045*t[11])/16 + (77*t[12])/8 + (12437*t[13])/144 + 
       (1469*t[14])/12 + (31*t[15])/4 + (13*t[17])/4 + (5*t[18])/2 - 
       13*t[21] + (21*t[23])/2 - (49*t[24])/2 - 3*t[31] + 4*t[32] - 4*t[33] + 
       8*t[34] + 4*t[39] - 4*t[40] - (25*t[41])/4 + (41*t[42])/4 + 
       (63*t[43])/8 - (31*t[45])/4 - 8*t[46] + 37*t[47] + (21*t[48])/16 + 
       (61*t[49])/8 + (141*t[50])/16 + (75*t[51])/16 - (269*t[52])/16 - 
       (45*t[53])/8 - (113*t[54])/16 + 2*t[58] - 12*t[59] + (827*t[60])/8 + 
       (2595*t[61])/8 - (4453*t[62])/16 - (1175*t[63])/16 + (1345*t[64])/16 + 
       (605*t[65])/4 - (1120*t[66])/3 - (15*t[67])/4 - 9*t[69] + 8*t[70] - 
       8*t[71] - (67*t[74])/2 + 26*t[76] + 4*t[77] - 16*t[78] - 36*t[79] + 
       50*t[80] + (55*t[81])/4 - (23*t[82])/4 + 19*t[83] + (89*t[84])/4 + 
       (171*t[85])/8 + 143*t[86] - (303*t[87])/8 - (303*t[88])/16 + 
       (663*t[89])/16 + 3*t[94] + 144*t[98] - 144*t[99] - 93*t[100] - 
       24*t[101]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*
      (-4*t[1] + (125*t[2])/8 + (977*t[3])/8 + (61*t[4])/2 + (771*t[5])/16 - 
       58*t[6] + (27*t[7])/2 - (355*t[8])/4 - (1997*t[9])/16 - 
       (137*t[10])/4 + (475*t[11])/8 - (109*t[12])/16 + (461*t[13])/18 - 
       (4351*t[14])/48 - (3607*t[15])/288 + 11*t[20] + 6*t[28] + 
       (43*t[29])/2 + 35*t[30] - (11*t[32])/2 + (15*t[33])/2 - 6*t[35] - 
       2*t[38] + 4*t[40] - 2*t[41] + 2*t[42] + (125*t[44])/4 - 8*t[45] + 
       8*t[47] - (165*t[48])/4 + (19*t[49])/2 + (47*t[50])/4 - (23*t[51])/4 - 
       (79*t[52])/4 - (19*t[53])/2 - (131*t[54])/2 - (53*t[59])/4 - 
       (581*t[60])/4 - (19*t[61])/2 + (425*t[62])/8 + (781*t[63])/4 + 
       (741*t[64])/8 - (797*t[65])/12 + (95*t[66])/4 - (3*t[67])/4 - 
       6*t[69] + 16*t[70] - 16*t[71] - (29*t[74])/2 - 36*t[75] + 24*t[76] - 
       2*t[77] - 32*t[78] - 8*t[79] + 16*t[80] + 8*t[81] - 4*t[82] + 
       (73*t[83])/2 - 48*t[84] - (29*t[85])/2 - 14*t[86] + (77*t[87])/2 - 
       (119*t[88])/4 - (529*t[89])/8 + 18*t[95] + 12*t[96] - 4*t[97] + 
       144*t[98] - 144*t[99] - 93*t[100] - 24*t[101]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-98*t[1])/3 - (617*t[2])/6 + (1051*t[3])/6 - (23*t[4])/2 + 
       (535*t[5])/6 - (3467*t[6])/48 - (1525*t[7])/4 + (1217*t[8])/12 - 
       (1929*t[9])/8 + (2385*t[10])/8 - (5945*t[11])/48 + (377*t[12])/24 + 
       (361*t[13])/9 - (11035*t[14])/144 + (1819*t[15])/432 + 4*t[16] - 
       t[17]/2 + 4*t[19] + 28*t[20] + 4*t[21] - 16*t[22] - 4*t[23] - 
       8*t[24] + 42*t[25] - 19*t[26] + 14*t[27] + 44*t[28] + (50*t[29])/3 - 
       (25*t[30])/3 - (58*t[31])/3 - (53*t[32])/2 + 17*t[33] + (76*t[34])/3 + 
       8*t[35] - 27*t[36] - 12*t[37] - (103*t[38])/3 - (82*t[39])/3 + 
       (97*t[40])/3 - 6*t[41] + 6*t[42] + (55*t[43])/12 - (563*t[44])/12 - 
       (8*t[45])/3 - 3*t[46] - (8*t[47])/3 + (1187*t[48])/48 - 
       (1109*t[49])/24 - (1431*t[50])/16 - (41*t[51])/6 + (1877*t[52])/48 - 
       (163*t[53])/24 + (1409*t[54])/48 + 3*t[55] - 2*t[56] - 4*t[57] - 
       4*t[58] + (143*t[59])/6 + (2179*t[60])/24 - (77*t[61])/8 - 
       (10129*t[62])/48 + (143*t[63])/16 + (5473*t[64])/48 + 
       (4675*t[65])/72 + (2995*t[66])/24 - 4*t[68] + 8*t[69] + 4*t[70] - 
       4*t[71] + 124*t[72] - 72*t[74] - 88*t[75] + (11*t[76])/3 + 
       (44*t[77])/3 - (149*t[78])/3 + 4*t[79] + 94*t[80] - (181*t[81])/6 + 
       (127*t[82])/6 + 62*t[83] + (923*t[84])/24 - (1223*t[85])/24 + 
       (697*t[86])/3 + (791*t[87])/8 + (1143*t[88])/16 - (785*t[89])/48 + 
       18*t[93] - 24*t[95] - 28*t[96] - (22*t[97])/3 - 340*t[98] + 
       516*t[99] + 66*t[100] - 24*t[101]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((73*t[1])/3 - (893*t[2])/12 + 
       (2509*t[3])/24 + (1075*t[4])/6 - (3755*t[5])/16 - (219*t[6])/4 + 
       (2639*t[7])/12 + (757*t[8])/12 + (9011*t[9])/48 + (55*t[10])/2 + 
       (307*t[11])/12 + (4777*t[12])/48 - (67919*t[13])/432 + (25*t[14])/8 - 
       (4441*t[15])/32 - 12*t[16] + (5*t[17])/2 + 10*t[18] - 4*t[19] + 
       20*t[20] - 2*t[21] - 17*t[22] + 2*t[23] - 6*t[24] - 13*t[25] - t[26] - 
       (73*t[27])/3 - (94*t[28])/3 + (151*t[29])/3 - (76*t[30])/3 + 4*t[31] - 
       (20*t[32])/3 + (50*t[33])/3 - (2*t[34])/3 + 46*t[35] - 9*t[36] + 
       5*t[37] + (53*t[38])/3 - t[39]/3 + (2*t[40])/3 + (47*t[41])/3 - 
       (32*t[42])/3 - (1139*t[43])/24 - (569*t[44])/6 + (197*t[45])/12 - 
       21*t[46] + (9*t[47])/2 + (1783*t[48])/24 + (293*t[49])/6 - 
       (63*t[50])/8 - (319*t[51])/16 - t[52]/8 - (229*t[53])/3 - 
       (131*t[54])/8 - 2*t[56] + 8*t[57] + 8*t[58] + 6*t[59] - (59*t[60])/6 + 
       (2935*t[61])/12 - (12089*t[62])/24 - (1877*t[63])/24 + 
       (1651*t[64])/8 - (2675*t[65])/36 + (1247*t[66])/36 - 3*t[67] + 
       3*t[68] + 16*t[69] + 2*t[70] - 2*t[71] - 32*t[73] - 61*t[74] + 
       24*t[75] - (196*t[76])/3 + 24*t[77] + (190*t[78])/3 + 64*t[79] - 
       (569*t[80])/3 - (77*t[81])/2 - 14*t[82] + 130*t[83] - (263*t[84])/2 - 
       (1565*t[85])/12 + 322*t[86] + (355*t[87])/12 + (1915*t[88])/24 - 
       (57*t[89])/4 - 3*t[92] + 2*t[93] + 3*t[94] - 22*t[95] + 10*t[96] + 
       (59*t[97])/3 - 340*t[98] + 516*t[99] + 66*t[100] - 24*t[101]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((3*t[1])/2 - (41*t[2])/8 - (243*t[3])/8 - (525*t[4])/8 + 
       (105*t[5])/16 - (427*t[6])/8 + (501*t[7])/8 + (253*t[8])/4 + 
       (1129*t[9])/16 + (765*t[10])/16 + (687*t[11])/8 + (183*t[12])/8 + 
       (205*t[13])/4 + (5411*t[14])/96 - (127*t[15])/32 + (23*t[17])/4 + 
       10*t[18] - 4*t[19] - 2*t[21] + t[23] - 12*t[24] - 4*t[31] + 2*t[32] - 
       2*t[33] + 4*t[34] + 2*t[37] + 2*t[39] - 2*t[40] + (3*t[41])/2 + 
       t[42]/2 + t[43] + (45*t[45])/4 - (19*t[46])/4 + (15*t[47])/2 + 
       (55*t[48])/8 + (7*t[49])/16 + (15*t[50])/8 + (99*t[51])/32 - 
       (47*t[52])/8 + (9*t[53])/16 + (7*t[54])/4 + t[58] - (29*t[59])/2 + 
       (75*t[60])/4 + 130*t[61] - (1671*t[62])/8 - (155*t[63])/8 + 
       (875*t[64])/4 + (421*t[65])/3 - (565*t[66])/3 - 4*t[67] - 22*t[69] + 
       4*t[70] - 2*t[71] - 24*t[74] + 4*t[75] + 13*t[76] + 2*t[77] - 
       8*t[78] - 8*t[79] - t[80] + (9*t[81])/2 + (15*t[82])/2 + 2*t[83] + 
       (13*t[84])/2 + (93*t[85])/4 + (203*t[86])/2 - (17*t[87])/4 - 
       (17*t[88])/8 + (425*t[89])/8 + (3*t[94])/2 + 72*t[98] - 88*t[99] + 
       109*t[100] - 12*t[101]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*(-2*t[1] - (215*t[2])/8 + (977*t[3])/8 - 
       (3*t[4])/2 + (483*t[5])/16 - (775*t[6])/16 - (63*t[7])/2 - 39*t[8] - 
       (1891*t[9])/16 - (7*t[10])/4 - (51*t[11])/16 - (221*t[12])/16 - 
       (25*t[13])/3 - (2137*t[14])/24 - (5549*t[15])/288 + 4*t[18] + 
       18*t[20] - 4*t[22] + 10*t[28] + 17*t[29] + (55*t[30])/2 - 
       (17*t[32])/4 + (11*t[33])/2 - 15*t[34] - 6*t[35] + 2*t[37] - t[38] + 
       2*t[40] + (35*t[44])/2 - 4*t[45] + 6*t[47] - (141*t[48])/16 + 
       (15*t[49])/4 + (47*t[50])/16 - (19*t[51])/8 - (111*t[52])/16 - 
       (15*t[53])/4 - (635*t[54])/16 - (19*t[59])/2 - 153*t[60] - 
       (609*t[61])/8 + (485*t[62])/24 + (805*t[63])/6 + (9019*t[64])/48 - 
       (217*t[65])/72 + (7801*t[66])/72 - (5*t[67])/2 - 16*t[69] + 8*t[70] - 
       6*t[71] - 15*t[74] - 18*t[75] + 12*t[76] - t[77] - 16*t[78] - 
       4*t[79] + 6*t[80] + (11*t[81])/4 - (3*t[82])/4 + (71*t[83])/3 - 
       (1259*t[84])/24 - (157*t[85])/6 + (34*t[86])/3 + (553*t[87])/12 - 
       (179*t[88])/24 - (1367*t[89])/48 + 8*t[95] + 6*t[96] - 2*t[97] + 
       72*t[98] - 88*t[99] + 109*t[100] - 12*t[101]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-89*t[1])/8 - (197*t[2])/4 + (865*t[3])/8 - (737*t[4])/16 + 
       (1083*t[5])/16 - (1131*t[6])/32 - (3231*t[7])/16 + (983*t[8])/16 - 
       (2825*t[9])/16 + (5229*t[10])/32 - (3167*t[11])/32 + (273*t[12])/32 - 
       (2417*t[13])/288 - (16987*t[14])/192 + (43*t[15])/72 + (9*t[16])/4 - 
       t[17] + 2*t[19] + 15*t[20] + 2*t[21] - 3*t[22] - 2*t[23] - 8*t[24] + 
       (31*t[25])/2 - (3*t[26])/4 + 8*t[27] + 15*t[28] + (11*t[29])/2 + 
       t[30]/2 - 7*t[31] - (29*t[32])/4 + 12*t[33] + (29*t[34])/4 + 9*t[35] - 
       (31*t[36])/2 - (19*t[37])/2 - (25*t[38])/2 - (71*t[39])/4 + 16*t[40] - 
       (19*t[41])/8 + (19*t[42])/8 + (93*t[43])/16 - 21*t[44] - 
       (97*t[45])/8 - (7*t[46])/4 + (37*t[47])/2 + (413*t[48])/32 - 
       (655*t[49])/32 - (1175*t[50])/32 - (203*t[51])/64 + (495*t[52])/32 - 
       (25*t[53])/32 + (777*t[54])/32 + (5*t[55])/4 - t[56]/2 - t[57] - 
       (7*t[58])/4 + (71*t[59])/8 - (183*t[60])/4 - (917*t[61])/8 - 
       (1179*t[62])/16 - (289*t[63])/16 + (2613*t[64])/16 + (475*t[65])/8 + 
       (3547*t[66])/24 - (3*t[68])/2 + 3*t[69] + 2*t[70] - 2*t[71] + 
       28*t[72] - (95*t[74])/2 - 48*t[75] + (5*t[76])/4 + 7*t[77] - 
       (61*t[78])/2 + 18*t[79] + (123*t[80])/2 - (89*t[81])/4 + 
       (29*t[82])/4 + (87*t[83])/2 - (115*t[84])/8 - (307*t[85])/8 + 
       159*t[86] + (701*t[87])/8 + (845*t[88])/16 + 2*t[89] + 6*t[93] - 
       9*t[95] - 14*t[96] - (17*t[97])/4 - 120*t[98] + 172*t[99] + 
       190*t[100] - 12*t[101]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 
       1 - w]*((35*t[1])/4 - (277*t[2])/8 + 65*t[3] + (969*t[4])/16 - 
       (3597*t[5])/32 - (283*t[6])/8 + (1583*t[7])/16 - (1201*t[8])/16 + 
       (2945*t[9])/32 + (1021*t[10])/32 - (85*t[11])/4 + (557*t[12])/8 - 
       (7525*t[13])/96 - (1215*t[14])/64 - (4633*t[15])/64 - 5*t[16] + 
       (5*t[17])/4 + 3*t[18] - 2*t[19] + 11*t[20] - 5*t[21] - 18*t[22] + 
       5*t[23] - 16*t[24] - (15*t[25])/2 + (7*t[26])/4 - (23*t[27])/2 - 
       9*t[28] + (107*t[29])/4 - 3*t[30] + 8*t[31] - (5*t[32])/2 + 5*t[33] - 
       (7*t[34])/2 + 17*t[35] - 5*t[36] - (3*t[37])/2 + (29*t[38])/4 - 
       3*t[39] + (7*t[40])/4 + 6*t[41] - (9*t[42])/2 - 22*t[43] - 
       (195*t[44])/8 + (59*t[45])/8 - (19*t[46])/2 + (13*t[47])/4 + 
       (259*t[48])/16 + (573*t[49])/32 + (183*t[50])/16 - (197*t[51])/64 - 
       (255*t[52])/16 - (829*t[53])/32 - (23*t[54])/2 - 2*t[56] + 5*t[57] + 
       (15*t[58])/4 + (15*t[59])/4 - (67*t[60])/16 + (953*t[61])/16 - 
       (5535*t[62])/32 - (165*t[63])/32 + (941*t[64])/32 - (421*t[65])/16 + 
       (1381*t[66])/16 - t[67]/2 + 3*t[68] + 8*t[69] + 3*t[70] - 3*t[71] - 
       9*t[72] - 4*t[73] - 42*t[74] + 4*t[75] - (161*t[76])/4 + 
       (31*t[77])/2 + (159*t[78])/4 + 26*t[79] - (205*t[80])/2 - 
       (77*t[81])/4 - (41*t[82])/2 + 42*t[83] - (961*t[84])/16 - 
       (811*t[85])/16 + (341*t[86])/4 + (163*t[87])/16 + (899*t[88])/32 + 
       (169*t[89])/32 + t[91]/12 - t[92]/2 + t[93] + t[94]/2 - 8*t[95] + 
       (11*t[96])/2 + (15*t[97])/2 - 120*t[98] + 172*t[99] + 190*t[100] - 
       12*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((-55*t[1])/4 + (15*t[2])/2 - (51*t[3])/4 + 
       (605*t[4])/8 - (735*t[5])/16 + (127*t[6])/4 + (31*t[7])/2 + 27*t[8] + 
       (759*t[9])/16 - (341*t[10])/4 + (339*t[11])/4 + (201*t[12])/16 + 
       (313*t[13])/18 + (5563*t[14])/96 - (813*t[15])/32 - 4*t[16] - t[17] + 
       3*t[19] - 15*t[20] + 8*t[21] + t[22] - 8*t[23] + 8*t[24] + 
       (7*t[25])/2 + t[26] - 3*t[27] + t[28] + 4*t[29] + 4*t[30] + 5*t[31] - 
       2*t[32] + 4*t[33] - 3*t[34] - 8*t[35] - (5*t[36])/2 + (17*t[37])/2 - 
       (11*t[38])/2 - 3*t[39] + (17*t[40])/2 + (9*t[41])/2 - (9*t[42])/2 - 
       (13*t[43])/2 + t[44] + 4*t[45] - (41*t[46])/4 - 3*t[47] + 
       (17*t[48])/4 + (375*t[49])/8 - (101*t[50])/4 - (423*t[51])/32 + 
       (41*t[52])/4 - (325*t[53])/8 + (31*t[54])/8 + 4*t[57] + (7*t[59])/2 + 
       (323*t[60])/4 + (827*t[61])/4 - (173*t[62])/16 + (2025*t[63])/16 - 
       (345*t[64])/8 - (2603*t[65])/24 - (5761*t[66])/24 + 4*t[67] + 
       (25*t[68])/2 - 8*t[69] - 3*t[70] + 3*t[71] - 8*t[72] + 14*t[73] + 
       (35*t[74])/2 - 23*t[75] + 21*t[76] - (33*t[77])/2 - (39*t[78])/2 + 
       4*t[79] - 19*t[80] + 34*t[81] - (89*t[82])/2 - t[83] + (123*t[84])/8 + 
       (279*t[85])/8 + 32*t[86] - (749*t[87])/8 - (965*t[88])/16 - 
       (1221*t[89])/16 + 3*t[92] - 2*t[93] - 4*t[94] + 3*t[95] + 3*t[96] - 
       t[97] + 96*t[98] - 50*t[99] - 416*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((19*t[1])/2 + 2*t[2] - (173*t[3])/4 + (359*t[4])/8 - (37*t[5])/16 + 
       (23*t[6])/4 + (37*t[7])/4 + (167*t[8])/2 + (29*t[9])/16 - 
       (373*t[10])/8 + (147*t[11])/2 - (315*t[12])/16 + (55*t[13])/3 + 
       (5333*t[14])/96 + (1951*t[15])/96 - (3*t[16])/2 + t[17]/2 - t[19] - 
       20*t[20] + 10*t[22] + t[24] - (9*t[25])/2 - 2*t[26] - 3*t[27] + 
       5*t[28] - 4*t[29] + 3*t[30] + 5*t[31] - 5*t[32] - 3*t[33] - 
       (3*t[34])/2 - 6*t[35] - (7*t[36])/2 + t[37]/2 + 8*t[38] + 11*t[39] + 
       (13*t[40])/2 + (7*t[41])/4 - (7*t[42])/4 + t[43]/2 - 15*t[44] + 
       7*t[45] - (5*t[46])/4 - (25*t[47])/2 + (121*t[48])/4 + (85*t[49])/4 - 
       (5*t[50])/4 - (173*t[51])/32 - (29*t[52])/4 - 5*t[53] - 
       (103*t[54])/8 - (3*t[55])/2 + t[56] - 4*t[59] - (95*t[60])/2 + 
       (953*t[61])/4 - 48*t[62] + (113*t[63])/2 + (979*t[64])/8 - 
       (107*t[65])/4 - (541*t[66])/6 + t[68]/2 - 16*t[69] + 2*t[70] - 
       2*t[71] + 20*t[72] + 8*t[73] - 4*t[74] - 2*t[75] + 26*t[76] - 
       t[77]/2 - 2*t[78] + 28*t[79] + 26*t[80] - (7*t[81])/2 + (17*t[82])/2 - 
       21*t[83] + (131*t[84])/4 - 34*t[85] + 5*t[86] + (181*t[87])/2 + 
       (177*t[88])/4 + (39*t[89])/4 + 8*t[95] + 9*t[96] + 3*t[97] + 
       96*t[98] - 50*t[99] - 416*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-41*t[1])/3 - (89*t[2])/12 + (427*t[3])/24 + (919*t[4])/24 - 
       (1147*t[5])/16 + (51*t[6])/2 - (1729*t[7])/12 - (1205*t[8])/12 - 
       (2821*t[9])/48 - (23*t[10])/16 - (1043*t[11])/12 + (67*t[12])/12 - 
       (14399*t[13])/432 - (8255*t[14])/96 - (4195*t[15])/288 - 
       (16*t[18])/3 - 6*t[21] + t[22] + 6*t[23] - 6*t[24] + 3*t[26] - 
       (4*t[27])/3 + (20*t[28])/3 - (8*t[29])/3 + (14*t[30])/3 - 2*t[31] - 
       (14*t[32])/3 + (17*t[33])/3 - (68*t[34])/3 - 8*t[35] - 8*t[36] - 
       (17*t[37])/2 - (17*t[38])/6 - (7*t[39])/3 + (73*t[40])/6 + 
       (8*t[41])/3 - (17*t[42])/3 - (293*t[43])/24 + (83*t[44])/3 + 
       (131*t[45])/12 + (3*t[46])/2 - 29*t[47] + (643*t[48])/24 - 
       (587*t[49])/48 - (79*t[50])/8 + (433*t[51])/32 + (71*t[52])/8 + 
       (215*t[53])/48 + (97*t[54])/4 + 2*t[58] + (17*t[59])/4 - 
       (113*t[60])/24 - (1747*t[61])/24 + (14957*t[62])/48 + 
       (4085*t[63])/48 - (1555*t[64])/16 - (5251*t[65])/72 + 
       (16609*t[66])/72 - t[68]/2 - 2*t[69] + 14*t[70] - 14*t[71] + 7*t[72] + 
       6*t[73] + 8*t[74] - (377*t[76])/6 + 13*t[77] + (461*t[78])/6 - 
       18*t[79] - (275*t[80])/3 - (33*t[81])/2 - (43*t[82])/2 - 71*t[83] + 
       (253*t[84])/8 - (1105*t[85])/24 - 303*t[86] + (1547*t[87])/24 + 
       (1667*t[88])/48 - (253*t[89])/16 - 14*t[96] - (53*t[97])/6 - 
       364*t[98] + 376*t[99] - 44*t[100] - 6*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((59*t[1])/6 - (35*t[2])/6 - (403*t[3])/12 - (461*t[4])/8 - 
       (34*t[5])/3 + (2875*t[6])/48 - (155*t[7])/2 + (1375*t[8])/6 - 
       (371*t[9])/8 + (19*t[10])/16 - (2603*t[11])/48 + (181*t[12])/48 - 
       (671*t[13])/12 - (17705*t[14])/288 - (631*t[15])/216 - 2*t[16] + 
       4*t[22] - 4*t[25] + 2*t[26] - 2*t[28] - (16*t[29])/3 - (61*t[30])/3 - 
       (40*t[31])/3 + 19*t[32] + 4*t[33] - (41*t[34])/3 - 4*t[35] + 6*t[36] - 
       (23*t[37])/2 + (37*t[38])/6 - (4*t[39])/3 - (43*t[40])/6 + t[41]/2 - 
       t[42]/2 - (14*t[43])/3 - (281*t[44])/12 + (64*t[45])/3 + 8*t[46] - 
       (67*t[47])/6 + (2873*t[48])/48 - (2341*t[49])/48 - (109*t[50])/16 + 
       (1567*t[51])/96 + (647*t[52])/48 + (1705*t[53])/48 + (3293*t[54])/48 + 
       2*t[58] + (7*t[59])/12 - (119*t[60])/6 + (107*t[61])/4 - 
       (71*t[62])/24 - (387*t[63])/2 + (838*t[64])/3 + (482*t[65])/9 + 
       (485*t[66])/4 + (3*t[68])/2 - 6*t[69] + 8*t[70] - 8*t[71] + t[72] + 
       10*t[73] + 9*t[74] - 32*t[75] - (365*t[76])/6 - (25*t[77])/3 + 
       (509*t[78])/6 + 10*t[79] + 8*t[80] - (101*t[81])/3 - (29*t[82])/6 + 
       5*t[83] + (61*t[84])/3 - (727*t[85])/12 + (247*t[86])/3 + 
       (599*t[87])/4 + (835*t[88])/8 + (259*t[89])/12 - 2*t[93] - 10*t[95] - 
       20*t[96] - (29*t[97])/6 - 364*t[98] + 376*t[99] - 44*t[100] - 
       6*t[101]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((19*t[1])/4 + (3*t[2])/2 + (23*t[3])/8 - (829*t[4])/16 + 4*t[5] - 
       (169*t[6])/32 - (25*t[7])/8 - (71*t[8])/8 - (59*t[9])/8 - 
       (509*t[10])/32 - (1169*t[11])/32 - (107*t[12])/32 - (2257*t[13])/144 - 
       (3613*t[14])/192 + (593*t[15])/96 - 2*t[16] - t[25]/4 - (19*t[26])/4 - 
       t[33] - t[36] + 2*t[37] + (9*t[38])/2 + t[39] - t[40] - t[45]/2 - 
       (33*t[46])/8 + t[47]/2 + (47*t[48])/32 + (389*t[49])/32 + 
       (151*t[50])/32 + (455*t[51])/64 - (103*t[52])/32 - (89*t[53])/32 + 
       (623*t[54])/32 - 2*t[59] - 98*t[60] - (807*t[61])/16 + (117*t[62])/4 + 
       (1467*t[63])/16 + (3095*t[64])/32 + (179*t[65])/16 + (2279*t[66])/48 - 
       3*t[69] - 2*t[70] + 2*t[71] - 4*t[74] - 9*t[75] + (11*t[76])/2 - 
       6*t[78] - 4*t[79] + 6*t[80] + (25*t[81])/8 - (9*t[82])/8 + 
       (21*t[83])/2 - (461*t[84])/16 - (151*t[85])/8 - 6*t[86] + 33*t[87] + 
       (5*t[88])/4 - (477*t[89])/32 + 4*t[95] + 2*t[96] - t[97] + 36*t[98] - 
       44*t[99] + (93*t[100])/2 - 6*t[101]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*((3*t[1])/2 + (3*t[2])/2 - (7*t[3])/8 - 
       (929*t[4])/16 + (91*t[5])/16 + (13*t[6])/32 + (13*t[7])/8 + 
       (3*t[8])/8 + (95*t[9])/16 + (1145*t[10])/32 - (1283*t[11])/32 - 
       (467*t[12])/32 - (1261*t[13])/48 - (961*t[14])/192 + (101*t[15])/16 - 
       (3*t[16])/4 - (35*t[25])/4 + (27*t[26])/4 - t[33] + (3*t[36])/2 - 
       (17*t[37])/4 + t[38]/2 + t[39] - t[40]/2 - t[45]/2 + (35*t[46])/8 + 
       t[47]/2 - (163*t[48])/32 + (195*t[49])/32 + (117*t[50])/32 - 
       (33*t[51])/64 - (69*t[52])/32 + (121*t[53])/32 + (633*t[54])/32 - 
       (35*t[59])/4 - (163*t[60])/4 - (175*t[61])/48 + (295*t[62])/48 + 
       (623*t[63])/8 + (2157*t[64])/32 - (4297*t[65])/144 + 
       (6961*t[66])/144 - (5*t[67])/4 - 16*t[69] + 4*t[70] - 7*t[71] - 
       (13*t[74])/2 - 9*t[75] + 6*t[76] - t[77]/2 - 8*t[78] - 6*t[79] + 
       3*t[80] + (15*t[81])/8 - (7*t[82])/8 + (55*t[83])/6 - 
       (1259*t[84])/48 - (34*t[85])/3 - (53*t[86])/3 + (143*t[87])/24 - 
       (589*t[88])/48 - (481*t[89])/32 + 4*t[95] + 3*t[96] - t[97] + 
       36*t[98] - 44*t[99] + (93*t[100])/2 - 6*t[101]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((19*t[1])/12 - (193*t[2])/72 - (6511*t[3])/96 + (1143*t[4])/16 - 
       (791*t[5])/48 + (4599*t[6])/64 - (1477*t[7])/48 + (1327*t[8])/12 + 
       (2623*t[9])/96 + (1021*t[10])/32 + (4571*t[11])/192 + (17*t[12])/96 + 
       (17209*t[13])/288 - (65*t[14])/24 - (4543*t[15])/216 + t[18]/3 + 
       8*t[20] + (7*t[22])/3 - t[23]/3 + 27*t[28] + (83*t[29])/16 - 
       (431*t[30])/16 - (3*t[31])/2 + (1381*t[32])/48 - (601*t[33])/48 + 
       23*t[34] + 11*t[35] - (49*t[36])/4 - (5*t[37])/6 - t[38]/3 + 
       (301*t[39])/48 - (409*t[40])/48 - t[41]/3 - (2*t[42])/3 - 
       (11*t[43])/4 - (23*t[44])/12 - 6*t[45] + (5*t[46])/3 + (20*t[47])/3 + 
       (7339*t[48])/192 + (579*t[49])/32 - (6997*t[50])/192 - 
       (539*t[51])/64 + (7765*t[52])/192 - (1513*t[53])/96 + 
       (1519*t[54])/64 + (11*t[59])/9 + (2179*t[60])/96 + (2533*t[61])/96 + 
       (3305*t[62])/64 - (9845*t[63])/64 + (173*t[64])/64 + (1547*t[65])/32 - 
       (30503*t[66])/288 + t[69]/6 + (14*t[72])/3 + 33*t[73] - (73*t[74])/6 + 
       (89*t[75])/3 + (127*t[76])/6 + (23*t[77])/2 - 13*t[78] - 4*t[79] - 
       t[80] + (161*t[81])/6 - (157*t[82])/6 - (269*t[83])/3 + 
       (1751*t[84])/96 + (945*t[85])/32 - (271*t[86])/3 - (1269*t[87])/32 - 
       (2975*t[88])/192 + (8233*t[89])/192 - (16*t[95])/3 + 4*t[96] + 
       (47*t[97])/12 + (323*t[98])/2 - (331*t[99])/2 + (19*t[100])/2 + 
       2*t[101]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-25*t[1])/36 - (283*t[2])/144 - (515*t[3])/36 + (9313*t[4])/144 + 
       (1379*t[5])/32 - (1681*t[6])/144 - (3191*t[7])/144 - (5863*t[8])/144 - 
       (2099*t[9])/36 + (14573*t[10])/96 - (11473*t[11])/144 - 
       (283*t[12])/9 - (1325*t[13])/648 - (637*t[14])/576 + 
       (17933*t[15])/576 + 3*t[17] - (28*t[18])/9 - 2*t[19] - t[21] - 
       t[22]/3 - (13*t[23])/3 - 12*t[24] - (2*t[26])/3 + (7*t[27])/9 + 
       (31*t[28])/9 - (16*t[29])/9 + (16*t[30])/9 - (32*t[31])/3 - 
       (47*t[32])/18 + (53*t[33])/18 + (50*t[34])/9 - (13*t[35])/2 + 
       (11*t[37])/6 - (11*t[38])/9 - (38*t[39])/9 + (107*t[40])/18 - 
       (44*t[41])/9 + (2*t[42])/3 - (971*t[43])/36 - (139*t[44])/18 + 
       (934*t[45])/9 - (467*t[46])/24 - (659*t[47])/4 - (1265*t[48])/144 + 
       (5077*t[49])/288 + (287*t[50])/16 - (493*t[51])/192 - 
       (1037*t[52])/48 - (5173*t[53])/288 - (107*t[54])/4 - (2*t[58])/3 + 
       (35*t[59])/9 - (1727*t[60])/144 - (36301*t[61])/144 + 
       (17765*t[62])/288 - (12535*t[63])/288 - (26371*t[64])/96 + 
       (2983*t[65])/216 + (27673*t[66])/108 + (5*t[69])/6 + t[72]/2 + 
       (235*t[73])/12 - 17*t[74] - (259*t[75])/12 + (967*t[76])/36 - 
       (5*t[77])/12 - (190*t[78])/9 + 50*t[79] - (1921*t[80])/9 + 
       (241*t[81])/24 - (161*t[82])/12 - (2*t[83])/3 + (23*t[84])/12 + 
       (3179*t[85])/144 + (191*t[86])/12 - (8215*t[87])/144 - 
       (8359*t[88])/288 - (3329*t[89])/96 + (23*t[97])/18 + (899*t[98])/6 - 
       (923*t[99])/6 + (97*t[100])/6 + 2*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-157*t[1])/12 - 18*t[2] - (2621*t[3])/12 - (871*t[4])/6 - 
       (1369*t[5])/24 + (8639*t[6])/24 - (3713*t[7])/24 + (12239*t[8])/24 - 
       108*t[9] + (1663*t[10])/3 - (10289*t[11])/24 - (415*t[12])/6 - 
       (41293*t[13])/216 + (27883*t[14])/144 + (10741*t[15])/72 - 
       (11*t[17])/2 - 12*t[18] - 12*t[20] - 27*t[21] + 105*t[22] + 
       (55*t[23])/2 - 2*t[24] + 21*t[26] + 24*t[27] + 6*t[28] - 4*t[29] - 
       2*t[30] + 34*t[31] + (67*t[32])/3 - 17*t[33] - (105*t[34])/2 + 
       64*t[35] - 6*t[36] - 5*t[37] - (67*t[38])/6 + 17*t[39] - 
       (49*t[40])/3 - (241*t[41])/12 + (67*t[42])/12 - (313*t[43])/8 - 
       38*t[44] - (35*t[45])/4 + 43*t[46] + (17*t[47])/3 + (1337*t[48])/24 - 
       (2309*t[49])/24 - (209*t[50])/8 + (997*t[51])/48 + (1823*t[52])/24 + 
       (767*t[53])/8 + (2237*t[54])/24 + 3*t[58] + (71*t[59])/4 - 
       (377*t[60])/4 - (2975*t[61])/12 + (1393*t[62])/2 - 38*t[63] - 
       (6563*t[64])/8 - (1013*t[65])/4 + (7807*t[66])/9 + t[67] + 8*t[69] + 
       12*t[70] - 12*t[71] + 3*t[72] - 48*t[73] + 124*t[74] + 54*t[75] - 
       141*t[76] - 8*t[77] + (230*t[78])/3 - 141*t[79] - 632*t[80] - 
       (329*t[81])/6 - (134*t[82])/3 - 36*t[83] - (143*t[84])/12 - 
       (175*t[85])/6 - 418*t[86] + (1069*t[87])/6 + (1081*t[88])/12 + 
       (1481*t[89])/24 - t[94] - (13*t[97])/2 - 828*t[98] + 732*t[99] + 
       426*t[100] + 2*t[101]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-67*t[1])/3 + (184*t[2])/3 - 
       (4517*t[3])/24 - (1409*t[4])/12 - (6311*t[5])/24 + (4609*t[6])/16 + 
       (241*t[7])/12 + (7373*t[8])/12 + (1657*t[9])/6 + (1105*t[10])/24 - 
       (9545*t[11])/16 - (865*t[12])/12 - (74119*t[13])/216 + 
       (5251*t[14])/18 + (8651*t[15])/144 - 12*t[19] + 15*t[20] + 12*t[21] - 
       t[22]/3 + t[23]/3 + 6*t[25] - 56*t[28] + 73*t[29] + 59*t[30] - 
       7*t[31] + (116*t[32])/3 - (101*t[33])/3 + (287*t[34])/6 + 24*t[35] - 
       18*t[36] + 36*t[37] - 9*t[38] - (491*t[39])/6 + (491*t[40])/6 - 
       (41*t[41])/6 + (17*t[42])/6 - 14*t[43] - (655*t[44])/4 + 
       (43*t[45])/6 - (43*t[47])/6 + (7373*t[48])/48 - (779*t[49])/24 + 
       (4501*t[50])/48 + (883*t[51])/48 - (4789*t[52])/48 + t[53]/8 + 
       (15703*t[54])/48 - (28*t[59])/3 + (941*t[60])/8 - (1027*t[61])/8 + 
       (18419*t[62])/48 + (8315*t[63])/16 - (21709*t[64])/48 + 
       (17249*t[65])/72 + (10531*t[66])/8 + 9*t[69] + 12*t[70] - 12*t[71] - 
       3*t[72] - 78*t[73] + 49*t[74] - 80*t[75] - (530*t[76])/3 - 17*t[77] + 
       (688*t[78])/3 - 17*t[79] - 128*t[80] - (251*t[81])/6 + (71*t[82])/2 + 
       (379*t[83])/2 + (877*t[84])/8 + (1033*t[85])/24 - 67*t[86] + 
       (591*t[87])/8 + (1583*t[88])/16 + (4301*t[89])/16 - 38*t[95] - 
       78*t[96] - (76*t[97])/3 - 912*t[98] + 816*t[99] + 474*t[100] + 
       2*t[101]) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
      ((7*t[1])/36 - (379*t[2])/72 - (76*t[3])/9 + (6625*t[4])/288 - 
       (6463*t[5])/192 + (337*t[6])/24 - (137*t[7])/72 + (6859*t[8])/144 + 
       (21419*t[9])/576 + (2195*t[10])/64 + (341*t[11])/288 + 
       (499*t[12])/144 + (62873*t[13])/2592 + (35617*t[14])/1152 - 
       (33481*t[15])/3456 + t[17] - t[19]/2 + 3*t[20] + t[21] - 
       (28*t[22])/3 - (2*t[23])/3 + t[24] + (11*t[27])/9 - (17*t[28])/18 - 
       (133*t[29])/72 - (94*t[30])/9 + (17*t[31])/6 + (28*t[32])/9 - 
       (11*t[33])/18 + (37*t[34])/9 + (53*t[35])/6 - 4*t[36] + t[37]/3 - 
       t[38]/9 + (79*t[39])/18 - (149*t[40])/72 + (35*t[41])/36 - 
       (35*t[42])/36 - (1715*t[43])/288 - (1651*t[44])/144 + (403*t[45])/72 + 
       (4*t[47])/3 + (67*t[48])/18 + (6133*t[49])/576 - (265*t[50])/24 - 
       (1939*t[51])/384 + (289*t[52])/24 - (4885*t[53])/576 + 
       (1037*t[54])/96 + (5*t[55])/12 - (3*t[56])/4 - (3*t[57])/2 - 
       (25*t[59])/24 + (10849*t[60])/288 + (14363*t[61])/288 - 
       (19171*t[62])/576 - (13909*t[63])/576 - (12935*t[64])/192 + 
       (10415*t[65])/864 - (63083*t[66])/864 - t[67]/12 - (10*t[68])/3 - 
       (8*t[69])/3 - (2*t[70])/3 + (2*t[71])/3 + (13*t[72])/2 - 
       (67*t[73])/6 - (31*t[74])/6 + (73*t[75])/6 + (133*t[76])/18 + 
       (9*t[77])/4 - (95*t[78])/36 - 5*t[79] - (971*t[80])/36 + 
       (29*t[81])/4 + (5*t[82])/12 + 20*t[83] - (257*t[84])/96 + 
       (1553*t[85])/288 - (1283*t[86])/24 - (7093*t[87])/288 - 
       (6709*t[88])/576 + (7453*t[89])/192 + t[90]/6 - t[91]/24 + t[93]/2 - 
       (5*t[95])/3 + (13*t[96])/3 + (119*t[97])/36 + (59*t[98])/3 - 
       (17*t[99])/3 - (395*t[100])/12 + 4*t[101]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*((-67*t[1])/36 - 
       (181*t[2])/18 - (2131*t[3])/288 + (4459*t[4])/96 - (317*t[5])/36 + 
       (3149*t[6])/576 - (977*t[7])/32 - (925*t[8])/288 + (63*t[9])/16 + 
       (4717*t[10])/192 - (22435*t[11])/576 - (9571*t[12])/576 + 
       (7679*t[13])/1728 + (67199*t[14])/3456 - (1235*t[15])/2592 - t[16]/4 + 
       (13*t[17])/12 + (2*t[18])/3 - 2*t[19] - t[20]/2 - t[21]/3 - 4*t[22] + 
       (5*t[24])/3 - 2*t[25] - (43*t[26])/12 + (5*t[28])/2 - (11*t[29])/36 - 
       (19*t[30])/72 - (13*t[31])/18 - (89*t[32])/24 + (145*t[33])/24 + 
       (29*t[34])/9 - 2*t[35] + (16*t[36])/3 + (20*t[37])/3 + (23*t[38])/18 - 
       (283*t[39])/72 + (253*t[40])/72 - (5*t[41])/4 + (5*t[42])/4 - 
       (791*t[43])/288 - (907*t[44])/144 + (437*t[45])/144 - (15*t[46])/2 - 
       (1007*t[47])/72 - (5735*t[48])/576 + (6547*t[49])/576 - 
       (803*t[50])/64 + (1079*t[51])/1152 + (3739*t[52])/576 - 
       (7075*t[53])/576 + (1693*t[54])/576 - (11*t[56])/12 - (13*t[57])/6 - 
       (7*t[58])/12 - (107*t[59])/72 + (4109*t[60])/72 - (55*t[61])/4 + 
       (7729*t[62])/144 + (1733*t[63])/48 - (21043*t[64])/144 - 
       (2929*t[65])/54 - (1049*t[66])/36 + t[67]/12 + t[68]/3 + 
       (25*t[69])/6 - t[70] + t[71] + 5*t[72] - 2*t[73] - (26*t[74])/3 + 
       (13*t[75])/6 - (19*t[76])/18 - (25*t[77])/18 + (359*t[78])/36 - 
       (97*t[79])/6 - (51*t[80])/2 + (107*t[81])/9 - (29*t[82])/9 + 
       (133*t[83])/12 + (25*t[84])/72 + (257*t[85])/18 - (541*t[86])/9 - 
       (329*t[87])/8 - (329*t[88])/16 - (949*t[89])/144 + t[90]/6 + t[92]/6 + 
       t[93] - t[94]/6 + (43*t[97])/36 - (11*t[98])/3 + (53*t[99])/3 - 
       (235*t[100])/12 + 4*t[101]) + HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u]*((-61*t[1])/36 + (305*t[2])/72 + 
       (8623*t[3])/144 - (211*t[4])/6 + (725*t[5])/18 - (2705*t[6])/288 - 
       (1681*t[7])/24 - (1051*t[8])/18 - (877*t[9])/16 - (40*t[10])/3 - 
       (13979*t[11])/288 - (923*t[12])/72 - (7247*t[13])/432 - 
       (47155*t[14])/864 - (11753*t[15])/648 - t[16]/12 - t[18]/6 - t[22]/2 - 
       (13*t[23])/6 - t[27]/2 + 5*t[28] + (233*t[29])/72 - (241*t[30])/72 - 
       (73*t[31])/18 - (149*t[32])/24 + (149*t[33])/24 + (7*t[34])/18 - 
       4*t[35] - (37*t[36])/3 - (19*t[37])/3 - (61*t[38])/18 - 
       (427*t[39])/72 - (155*t[40])/72 - (13*t[41])/12 + (17*t[42])/12 - 
       (209*t[43])/72 - (88*t[44])/9 - (367*t[45])/36 - (10*t[46])/3 + 
       (305*t[47])/36 - (1903*t[48])/288 + (10*t[49])/9 - (191*t[50])/32 + 
       (281*t[51])/72 + (3527*t[52])/288 - (179*t[53])/18 - 
       (2221*t[54])/288 - t[56]/6 - (2*t[57])/3 - (28*t[59])/9 - 
       (5279*t[60])/144 - (2157*t[61])/16 - (421*t[62])/288 + 
       (4691*t[63])/96 + (28669*t[64])/288 - (7379*t[65])/432 + 
       (8795*t[66])/144 + t[68]/6 - (19*t[69])/3 + 4*t[72] - 12*t[73] - 
       9*t[74] - (22*t[75])/3 - (197*t[76])/36 - (11*t[77])/9 - 
       (287*t[78])/18 + (88*t[79])/3 + (41*t[80])/6 - (19*t[81])/9 + 
       (43*t[82])/36 + (109*t[83])/3 - (1843*t[84])/144 + (1999*t[85])/144 + 
       (1213*t[86])/18 - (485*t[87])/48 - (869*t[88])/96 - 
       (11213*t[89])/288 + 4*t[95] - 12*t[96] - (133*t[97])/18 + 
       (19*t[98])/3 - (121*t[99])/3 + (446*t[100])/3 + 5*t[101]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*((683*t[1])/72 + 
       (67*t[2])/36 + (475*t[3])/72 + (49*t[4])/72 + (25*t[5])/6 + 
       (155*t[6])/16 - (1183*t[7])/36 + (169*t[8])/36 - (5059*t[9])/144 - 
       (1979*t[10])/48 - (8219*t[11])/144 - (3899*t[12])/144 - 
       (9037*t[13])/162 - (2629*t[14])/96 - (143*t[15])/432 + t[16] - 
       t[22]/3 - t[23]/4 - (9*t[25])/2 + 7*t[26] - (19*t[27])/9 + 
       (44*t[28])/9 + (4*t[29])/9 - (131*t[30])/18 - (31*t[31])/6 + 
       (13*t[32])/9 - (19*t[33])/9 - (2*t[34])/9 - (43*t[35])/6 - t[36] + 
       t[37]/3 + (35*t[38])/36 + (35*t[39])/9 - (55*t[40])/9 + 
       (133*t[41])/72 - (133*t[42])/72 + (413*t[43])/36 - (139*t[44])/36 - 
       (151*t[45])/36 + (19*t[46])/6 - (71*t[47])/6 + (2765*t[48])/144 - 
       (1541*t[49])/144 + (323*t[50])/48 - (19*t[51])/96 + (27*t[52])/16 + 
       (1565*t[53])/144 + (271*t[54])/48 + 2*t[58] + (19*t[59])/8 - 
       (7621*t[60])/144 - (18659*t[61])/144 + (32809*t[62])/288 - 
       (12197*t[63])/288 + (2425*t[64])/32 - (24539*t[65])/432 + 
       (80729*t[66])/432 - t[67]/2 - 3*t[68] + (19*t[69])/3 - 2*t[70] + 
       2*t[71] - (29*t[72])/2 - (19*t[73])/6 + (20*t[74])/3 + (43*t[75])/6 - 
       (71*t[76])/18 + (53*t[77])/6 + (373*t[78])/36 + 4*t[79] + 
       (281*t[80])/18 - 20*t[81] + (37*t[82])/4 - (9*t[83])/2 - 
       (571*t[84])/48 - (4487*t[85])/144 - (58*t[86])/3 + (10699*t[87])/144 + 
       (10675*t[88])/288 + (3023*t[89])/96 + t[91]/12 - t[92]/2 - t[93] + 
       t[94]/2 - (79*t[97])/36 - (247*t[98])/3 + (145*t[99])/3 + 
       (598*t[100])/3 + 5*t[101]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((7*t[1])/12 - (55*t[2])/24 - (671*t[3])/24 - 
       (743*t[4])/24 + (641*t[5])/16 + (99*t[6])/8 + (449*t[7])/48 + 
       (3091*t[8])/48 - (107*t[9])/24 + (23*t[10])/8 + (2065*t[11])/48 - 
       (13*t[12])/6 + (50753*t[13])/864 + (1349*t[14])/96 + (961*t[15])/48 + 
       2*t[16] - t[17]/4 + t[18] + t[19] + t[20] + 2*t[21] + t[22] - 
       2*t[23] + t[24] + t[25]/2 + t[26]/2 + (19*t[27])/6 + (20*t[28])/3 - 
       (29*t[29])/3 - (16*t[30])/3 - 3*t[31] - (2*t[32])/3 - t[33]/3 + 
       t[34]/3 - 9*t[35] + 4*t[36] + 2*t[37] + t[38]/6 - t[39]/3 - 
       (7*t[40])/3 - (25*t[41])/12 + (31*t[42])/12 + (455*t[43])/48 + 
       (55*t[44])/6 - (47*t[45])/24 + (5*t[46])/2 + (79*t[47])/4 - 
       (667*t[48])/48 - (407*t[49])/48 + (23*t[50])/16 + (203*t[51])/32 - 
       (39*t[52])/16 + (719*t[53])/48 - (73*t[54])/16 - t[58]/2 - 
       (9*t[59])/2 + (727*t[60])/24 - (745*t[61])/24 - (823*t[62])/48 - 
       (5701*t[63])/48 + (657*t[64])/16 + (6467*t[65])/72 - 
       (10823*t[66])/72 + t[67]/2 - 8*t[70] + 8*t[71] + t[72] + 16*t[73] - 
       3*t[74] - 19*t[75] + (83*t[76])/3 - 4*t[77] - (89*t[78])/3 - 4*t[79] + 
       (217*t[80])/3 + 17*t[81] - 4*t[82] - 13*t[83] + (235*t[84])/8 + 
       (1025*t[85])/24 + (151*t[86])/2 - (475*t[87])/24 - (1195*t[88])/48 + 
       (643*t[89])/16 + t[92]/2 - t[94]/2 + 4*t[95] + t[96] - (13*t[97])/3 + 
       140*t[98] - 178*t[99] - 2*t[100] + 6*t[101]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((79*t[1])/12 + (11*t[2])/3 - (241*t[3])/48 + 52*t[4] - (83*t[5])/6 - 
       (341*t[6])/48 + (609*t[7])/8 - (2093*t[8])/24 + (245*t[9])/8 - 
       (61*t[10])/2 + (1915*t[11])/48 - (421*t[12])/24 + (2527*t[13])/144 - 
       (395*t[14])/72 - (2641*t[15])/864 + t[17]/4 - t[19] - t[20] - t[21] - 
       t[22] + t[23] - 6*t[25] + t[26]/2 - 3*t[27] - 2*t[28] + 
       (11*t[29])/12 + (55*t[30])/6 - (13*t[31])/3 - (23*t[32])/4 - 
       (25*t[34])/6 - 7*t[35] + 2*t[36] + (5*t[37])/2 + (49*t[38])/6 + 
       (7*t[39])/6 + (4*t[40])/3 + t[41]/2 - t[42]/2 + (19*t[43])/12 + 
       (491*t[44])/24 + (5*t[45])/6 - (7*t[46])/2 - (8*t[47])/3 - 
       (289*t[48])/48 + (257*t[49])/12 + (493*t[50])/16 - (55*t[51])/48 - 
       (1279*t[52])/48 - (65*t[53])/12 - (1633*t[54])/48 - t[55]/2 + 
       t[58]/2 - (65*t[59])/12 - (127*t[60])/3 - (53*t[61])/2 + 
       (4601*t[62])/48 + (613*t[63])/16 - (353*t[64])/3 + (1591*t[65])/72 - 
       (671*t[66])/24 + t[68]/2 + 2*t[69] - 5*t[70] + 5*t[71] - 17*t[72] - 
       t[74]/2 + 28*t[75] + (67*t[76])/6 + t[77]/6 - (11*t[78])/3 + 8*t[79] - 
       14*t[80] + (43*t[81])/3 - (13*t[82])/3 - 33*t[83] - (7*t[84])/24 + 
       (517*t[85])/24 - (269*t[86])/3 - (177*t[87])/8 - (513*t[88])/16 + 
       (847*t[89])/48 - 2*t[93] + 9*t[95] + 11*t[96] - (11*t[97])/6 + 
       140*t[98] - 178*t[99] - 2*t[100] + 6*t[101]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-229*t[1])/36 + (581*t[2])/36 + (443*t[3])/18 - (961*t[4])/72 - 
       (12539*t[5])/192 - (1699*t[6])/64 + (30203*t[7])/288 - 
       (27407*t[8])/288 + (72523*t[9])/576 - (427*t[10])/24 + 
       (17333*t[11])/576 + (34427*t[12])/576 + (31553*t[13])/1296 + 
       (22825*t[14])/576 + (4705*t[15])/3456 + t[16]/6 - t[17]/2 - 11*t[20] + 
       2*t[21] + (19*t[22])/4 - 2*t[23] - 4*t[24] + (10*t[25])/3 + 
       (19*t[26])/3 + (16*t[27])/9 + (49*t[28])/9 + (29*t[29])/36 - 
       t[30]/72 + (20*t[31])/3 - (929*t[32])/72 - (559*t[33])/72 + 
       (701*t[34])/36 - 7*t[35] + 7*t[36] - (4*t[37])/3 - (56*t[38])/9 + 
       (325*t[39])/36 - (335*t[40])/36 + (41*t[41])/72 - (41*t[42])/72 - 
       (769*t[43])/72 + (821*t[44])/72 - (1061*t[45])/36 + (47*t[46])/6 + 
       35*t[47] - (22457*t[48])/576 - (3467*t[49])/288 + (1215*t[50])/64 - 
       (391*t[51])/64 - (1757*t[52])/192 + (3371*t[53])/288 - 
       (3113*t[54])/192 - t[55]/6 + t[56]/2 - t[57] + (2*t[58])/3 - t[59]/2 - 
       (22339*t[60])/288 + (3889*t[61])/288 - (25007*t[62])/576 + 
       (48751*t[63])/576 - (2809*t[64])/192 + (37057*t[65])/864 - 
       (6301*t[66])/864 + (5*t[68])/3 - 3*t[69] - (10*t[70])/3 + 
       (10*t[71])/3 - (10*t[72])/3 + (5*t[73])/6 - (73*t[74])/6 + 
       (11*t[75])/6 + (154*t[76])/9 + (35*t[77])/4 - (73*t[78])/9 - 9*t[79] - 
       (83*t[80])/18 + (19*t[81])/6 - (55*t[82])/12 + (23*t[83])/3 - 
       (1001*t[84])/32 + (1411*t[85])/288 + (95*t[86])/3 + (1783*t[87])/288 - 
       (11465*t[88])/576 - (5851*t[89])/192 + (28*t[95])/3 + (28*t[96])/3 + 
       (22*t[97])/9 + (310*t[98])/3 - (286*t[99])/3 + (263*t[100])/3 + 
       8*t[101]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-23*t[1])/6 + (427*t[2])/24 + 
       (473*t[3])/24 + (713*t[4])/24 - (199*t[5])/16 + (67*t[6])/4 - 
       (275*t[7])/12 - (719*t[8])/24 - (1007*t[9])/48 - (129*t[10])/16 - 
       (1157*t[11])/24 - (203*t[12])/24 - (5587*t[13])/432 - 
       (3701*t[14])/96 - (179*t[15])/96 - (7*t[17])/4 - 3*t[18] + t[19] + 
       5*t[21] - 4*t[23] + 10*t[24] - (2*t[27])/3 - (14*t[28])/3 + 
       (2*t[29])/3 + (4*t[30])/3 + 4*t[31] - (4*t[32])/3 + (4*t[33])/3 - 
       (4*t[34])/3 + 4*t[35] - 4*t[37] - (2*t[38])/3 - (8*t[39])/3 + 
       t[40]/3 + (10*t[41])/3 - (16*t[42])/3 - (13*t[43])/24 + (10*t[44])/3 - 
       (13*t[45])/6 + (17*t[46])/4 - 11*t[47] - (187*t[48])/24 - 
       (43*t[49])/48 + (7*t[50])/8 - (85*t[51])/32 + (41*t[52])/8 - 
       (5*t[53])/48 - (13*t[54])/4 - t[58] + 9*t[59] - (101*t[60])/3 - 
       (1081*t[61])/12 + (1063*t[62])/12 + (125*t[63])/6 - (897*t[64])/8 - 
       (2881*t[65])/36 + (3001*t[66])/36 + 2*t[67] + 5*t[69] - 3*t[70] + 
       3*t[71] + 18*t[74] - 4*t[75] - (32*t[76])/3 - 2*t[77] + (20*t[78])/3 + 
       (17*t[80])/3 - (9*t[81])/2 - (15*t[82])/2 + 3*t[83] - (35*t[84])/4 - 
       (41*t[85])/6 - (21*t[86])/2 + (32*t[87])/3 + (16*t[88])/3 - 30*t[89] - 
       (3*t[94])/2 + t[97]/3 - 56*t[98] + 80*t[99] - 30*t[100] + 12*t[101]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (t[1] + t[2]/8 - (673*t[3])/8 + (13*t[4])/4 - (749*t[5])/16 + 
       (165*t[6])/4 + (181*t[7])/4 + (119*t[8])/4 + (1883*t[9])/16 + 
       (19*t[10])/8 + (13*t[11])/8 + (105*t[12])/16 + (43*t[13])/72 + 
       (1951*t[14])/24 + (6193*t[15])/288 - t[18] - 7*t[20] + t[22] - 
       2*t[28] - 19*t[29] - (39*t[30])/2 + 4*t[31] + (15*t[32])/4 - 
       (3*t[33])/2 + 6*t[34] + 2*t[35] + 2*t[36] + t[38] - 2*t[40] + 
       2*t[43] - (11*t[44])/4 + 4*t[45] - 6*t[47] + 8*t[48] - (47*t[49])/8 + 
       (25*t[50])/4 + (55*t[51])/16 - (9*t[52])/4 + (47*t[53])/8 + 
       (65*t[54])/2 + 9*t[59] + (917*t[60])/8 + (109*t[61])/2 - 
       (303*t[62])/16 - (1495*t[63])/16 - (1505*t[64])/8 + (125*t[65])/4 - 
       (605*t[66])/12 + t[67]/2 + 7*t[69] - 7*t[70] + 7*t[71] - 2*t[72] + 
       12*t[74] + 14*t[75] - 14*t[76] + t[77] + 24*t[78] - 6*t[79] - 
       6*t[80] - (21*t[81])/4 + t[82]/4 - 26*t[83] + 43*t[84] + 
       (145*t[85])/8 - 16*t[86] - (269*t[87])/8 + (187*t[88])/16 + 39*t[89] - 
       10*t[95] - 6*t[96] + 2*t[97] - 84*t[98] + 108*t[99] - 14*t[100] + 
       12*t[101]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-2*t[1] + (49*t[2])/4 + (79*t[3])/2 - (193*t[4])/4 + (435*t[5])/4 - 
       (187*t[6])/8 - (1011*t[7])/8 + (355*t[8])/8 - (1685*t[9])/8 + 
       (1197*t[10])/8 - (821*t[11])/4 - (317*t[12])/4 - (1151*t[13])/16 - 
       (2623*t[14])/16 + (3127*t[15])/144 - 2*t[16] + t[17]/2 - 6*t[18] - 
       6*t[21] + 5*t[23] - 6*t[24] + t[25] - 10*t[26] + 9*t[27] - 12*t[28] - 
       2*t[29] + 10*t[30] + 8*t[31] - 12*t[32] + 10*t[33] - 12*t[34] + 
       4*t[35] + 4*t[36] + 16*t[37] + 9*t[38] - 26*t[39] + 13*t[40] + t[41] - 
       (11*t[42])/2 + (121*t[43])/8 - 8*t[44] + (97*t[45])/4 - 3*t[46] - 
       (129*t[47])/2 + (5*t[48])/4 + 28*t[49] + (27*t[50])/4 - 
       (109*t[51])/16 + (5*t[52])/4 - (29*t[53])/2 - 3*t[54] + (3*t[59])/2 - 
       (1237*t[60])/4 - 445*t[61] + (399*t[62])/2 + (119*t[63])/2 + 
       (57*t[64])/4 + (263*t[65])/6 + 362*t[66] - t[67] + 2*t[69] + 
       12*t[70] - 11*t[71] - 14*t[72] - 6*t[73] + 2*t[74] + 6*t[75] - 
       27*t[76] - 3*t[77] + 11*t[78] + 14*t[79] - 83*t[80] - 36*t[81] + 
       42*t[82] + 43*t[83] - 68*t[84] - t[85]/2 + 12*t[86] + 137*t[87] + 
       (107*t[88])/2 + (125*t[89])/8 - t[92] + t[94] + 8*t[95] - 2*t[96] - 
       8*t[97] - 156*t[98] + 120*t[99] + 514*t[100] + 24*t[101]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*(t[1] - (21*t[2])/2 - 
       (261*t[3])/8 + 28*t[4] - (431*t[5])/8 + (109*t[6])/4 - 2*t[7] + 
       (113*t[8])/2 + (615*t[9])/8 + (319*t[10])/8 - (353*t[11])/4 + 
       (37*t[12])/2 - (643*t[13])/12 - (67*t[14])/6 - (223*t[15])/8 - 
       t[17]/2 - 4*t[25] + 5*t[26] + 2*t[28] + (9*t[29])/2 + 5*t[30] + 
       16*t[31] + (35*t[32])/2 + t[33] - 17*t[34] + 8*t[35] + 8*t[36] + 
       17*t[37] + 4*t[38] - 11*t[39] - 4*t[40] + (5*t[41])/2 - (5*t[42])/2 - 
       8*t[43] + (13*t[44])/4 + (19*t[45])/2 + 3*t[46] + 2*t[47] + 
       (35*t[48])/4 + (25*t[49])/8 + (39*t[50])/4 + t[51] + (25*t[52])/4 + 
       (51*t[53])/8 + 34*t[54] + t[55] + t[58] + 3*t[59] + (49*t[60])/2 - 
       (495*t[61])/4 + (77*t[62])/2 - (95*t[63])/2 - (1497*t[64])/8 + 
       (82*t[65])/3 + (183*t[66])/2 - t[68] + 16*t[69] + 2*t[70] - t[71] - 
       20*t[72] - 6*t[73] - 13*t[74] + 26*t[75] - 35*t[76] + 11*t[77] + 
       29*t[78] - 24*t[79] - 92*t[80] - 16*t[81] - 7*t[82] - 22*t[83] - 
       21*t[84] + 17*t[85] - 59*t[86] - 24*t[87] + 3*t[88] + (557*t[89])/8 + 
       2*t[93] - 2*t[95] - 4*t[96] - 2*t[97] - 156*t[98] + 120*t[99] + 
       514*t[100] + 24*t[101]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - v]*((8*t[2])/3 + 63*t[3] - (583*t[4])/4 + (1067*t[5])/8 - 
       (675*t[6])/8 - (653*t[7])/4 - (513*t[8])/4 - (2937*t[9])/8 + 
       (109*t[10])/8 + (643*t[11])/8 + 53*t[12] + (45*t[13])/8 - 
       (2887*t[14])/48 + (9461*t[15])/144 + t[17]/2 + 2*t[23] - 2*t[24] - 
       18*t[27] - 12*t[28] + (3*t[29])/2 + 55*t[30] - 12*t[31] - 
       (93*t[32])/2 - 4*t[33] + 41*t[34] + 12*t[35] + 114*t[36] - 3*t[37] - 
       3*t[38] - 47*t[39] + (143*t[40])/2 + t[41] - t[42] + 3*t[43] + 
       (123*t[44])/2 - 2*t[45] + 9*t[46] - 34*t[47] - (223*t[48])/8 - 
       (3*t[49])/8 + (197*t[50])/8 - (573*t[51])/16 - (341*t[52])/8 + 
       (99*t[53])/8 - (555*t[54])/8 + (55*t[59])/6 - (827*t[60])/2 + 
       (1313*t[61])/2 + (439*t[62])/2 + (2597*t[63])/4 + (2153*t[64])/4 - 
       (73*t[65])/3 - 108*t[66] - 13*t[68] - 18*t[70] + 18*t[71] - 18*t[72] + 
       72*t[73] - 18*t[74] - 132*t[75] - t[76] - 23*t[77] + 86*t[78] + 
       138*t[79] - 12*t[80] + t[81] + 74*t[82] + 246*t[83] - (131*t[84])/2 - 
       104*t[85] - 156*t[86] + (603*t[87])/2 + (291*t[88])/4 - 
       (1541*t[89])/4 + 12*t[95] + 36*t[96] + 3*t[97] - 480*t[98] + 
       444*t[99] - 246*t[100] - 36*t[102]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*((71*t[1])/6 - 32*t[2] - (169*t[3])/2 + 
       (315*t[4])/4 - 185*t[5] - (455*t[6])/12 + (389*t[7])/4 + 
       (483*t[8])/2 + (815*t[9])/4 - (1357*t[10])/8 + 246*t[11] + 
       (1635*t[12])/8 + (1531*t[13])/8 + (11083*t[14])/48 + (181*t[15])/12 + 
       19*t[18] + 18*t[21] - 3*t[22] - 19*t[23] + 18*t[24] + 49*t[25] - 
       38*t[26] + 17*t[27] + 24*t[28] - 24*t[29] - 12*t[30] - 12*t[31] + 
       2*t[32] + 43*t[34] - 24*t[35] + 6*t[36] + 12*t[37] - 14*t[38] + 
       6*t[39] - 5*t[40] + (5*t[41])/2 + (35*t[42])/6 - (313*t[43])/4 - 
       3*t[44] - 36*t[45] + 35*t[46] + 91*t[47] - 39*t[48] - (691*t[49])/8 + 
       12*t[50] + (457*t[51])/16 - 26*t[52] + (643*t[53])/8 + (387*t[54])/4 - 
       8*t[57] + 3*t[58] + (37*t[59])/3 + (573*t[60])/2 + 759*t[61] - 
       (833*t[62])/2 - 139*t[63] + 86*t[64] + (5027*t[65])/6 - 
       (2636*t[66])/3 + 6*t[68] - 36*t[70] + 36*t[71] + 36*t[72] + 
       144*t[73] - 12*t[74] + 192*t[75] - 86*t[76] + 4*t[77] + 80*t[78] - 
       72*t[79] + 100*t[80] + 89*t[81] - 91*t[82] + 66*t[83] + 128*t[84] + 
       (87*t[85])/2 + 273*t[86] - (683*t[87])/2 - (683*t[88])/4 - 179*t[89] - 
       t[91] + 6*t[93] + 6*t[97] - 480*t[98] + 444*t[99] - 246*t[100] - 
       36*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*(12*t[1] - 31*t[2] - (665*t[3])/4 + 
       (293*t[4])/6 - 101*t[5] + (1011*t[6])/8 - (1955*t[7])/12 + 
       (931*t[8])/12 - 211*t[9] + (839*t[10])/3 - (8707*t[11])/24 + 
       (87*t[12])/4 - (20345*t[13])/72 - (1267*t[14])/9 + (6421*t[15])/72 - 
       (158*t[18])/9 - 8*t[19] - 20*t[21] + 16*t[22] + (62*t[23])/3 - 
       28*t[24] - 4*t[25] + 14*t[26] + 20*t[27] - 8*t[28] - (34*t[29])/3 + 
       (58*t[30])/3 - 8*t[31] + 29*t[32] - (40*t[33])/3 - (74*t[34])/3 - 
       16*t[35] + (16*t[37])/3 - 2*t[38] - (14*t[39])/3 + (11*t[40])/3 - 
       5*t[41] + (19*t[42])/3 - (17*t[43])/12 - (17*t[44])/2 + 
       (217*t[45])/3 + 34*t[46] - (506*t[47])/3 + (1297*t[48])/24 - 
       (279*t[49])/4 + (935*t[50])/8 + (217*t[51])/24 - (2389*t[52])/24 + 
       (247*t[53])/4 + (775*t[54])/24 + (2*t[56])/3 + (8*t[57])/3 + 2*t[58] - 
       (50*t[59])/3 - (4063*t[60])/12 - (1785*t[61])/4 + 635*t[62] - 
       (911*t[63])/2 - (3423*t[64])/8 - (3754*t[65])/9 + (32201*t[66])/36 - 
       4*t[68] + 16*t[69] + 22*t[70] - 22*t[71] + 34*t[72] + 98*t[73] + 
       (88*t[74])/3 - 98*t[75] - (158*t[76])/3 - (2*t[77])/3 + 68*t[78] + 
       14*t[79] - (1061*t[80])/3 - (283*t[81])/3 + (134*t[82])/3 + 
       187*t[83] - (1319*t[84])/12 - (829*t[85])/12 - (2465*t[86])/6 + 
       (4705*t[87])/12 + (1707*t[88])/8 - (1793*t[89])/24 - t[91]/3 + 
       4*t[93] - (32*t[95])/3 - 16*t[96] - 18*t[97] - 344*t[98] + 160*t[99] + 
       612*t[100] - 20*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 
       1 - v]*((-5*t[1])/3 - (22*t[2])/3 + (451*t[3])/8 - (1393*t[4])/24 + 
       (3503*t[5])/48 - (981*t[6])/16 - (2483*t[7])/24 - (1209*t[8])/8 - 
       (3183*t[9])/16 + (655*t[10])/48 + (1231*t[11])/48 + (179*t[12])/24 + 
       (491*t[13])/48 - (18341*t[14])/288 + (7369*t[15])/288 + (2*t[17])/3 + 
       (4*t[23])/3 - (4*t[24])/3 - (25*t[27])/3 + 8*t[28] + (26*t[29])/3 + 
       (109*t[30])/3 - 6*t[31] - (227*t[32])/6 + (68*t[34])/3 + 6*t[35] + 
       79*t[36] - (7*t[37])/3 - t[38] - 27*t[39] + (271*t[40])/6 - t[41]/3 + 
       t[42]/3 + (13*t[43])/12 + (379*t[44])/12 + t[45]/2 + (29*t[46])/6 - 
       (58*t[47])/3 - (1391*t[48])/48 - (51*t[49])/16 + (973*t[50])/48 - 
       (525*t[51])/32 - (575*t[52])/16 + (115*t[53])/16 - (809*t[54])/16 - 
       (2*t[55])/3 + (15*t[59])/2 - (1225*t[60])/6 + (3113*t[61])/12 + 
       211*t[62] + (699*t[63])/2 + (4717*t[64])/24 - (17*t[65])/9 - 
       (313*t[66])/36 - (16*t[68])/3 - (38*t[70])/3 + (38*t[71])/3 - 
       13*t[72] + 88*t[73] - (31*t[74])/3 - 128*t[75] - (13*t[76])/3 - 
       (85*t[77])/6 + 46*t[78] + 77*t[79] - (34*t[80])/3 + (5*t[81])/6 + 
       (211*t[82])/6 + 100*t[83] - (299*t[84])/12 - (127*t[85])/3 - 
       (485*t[86])/3 + (871*t[87])/6 + (307*t[88])/12 - (689*t[89])/4 + 
       (26*t[95])/3 + (56*t[96])/3 - (10*t[97])/3 - 108*t[98] + 76*t[99] - 
       159*t[100] - 18*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 
       1 - u]*((-2*t[1])/3 - (301*t[2])/12 - (91*t[3])/2 + (1405*t[4])/24 - 
       (3137*t[5])/24 - (1067*t[6])/24 + (747*t[7])/8 + (4021*t[8])/24 + 
       (1889*t[9])/12 - (5263*t[10])/48 + (1329*t[11])/8 + (2059*t[12])/16 + 
       (29365*t[13])/216 + (13877*t[14])/96 - (1813*t[15])/144 - 
       (2*t[16])/3 - t[17]/3 + (38*t[18])/3 + (38*t[21])/3 + 3*t[22] - 
       14*t[23] + (38*t[24])/3 + (110*t[25])/3 - 12*t[26] + (46*t[27])/3 + 
       16*t[28] - 12*t[29] - 6*t[30] - 6*t[31] + t[32]/3 + t[33] + 
       (61*t[34])/3 - 4*t[35] + (5*t[36])/3 + 14*t[37] - (28*t[38])/3 + 
       7*t[39] - (4*t[40])/3 + (13*t[41])/2 - (7*t[42])/6 - (1135*t[43])/24 - 
       (7*t[44])/3 - (61*t[45])/6 + 20*t[46] + 45*t[47] - (539*t[48])/24 - 
       (697*t[49])/16 - (155*t[50])/24 + (605*t[51])/96 - (29*t[52])/24 + 
       (649*t[53])/16 + (685*t[54])/12 + t[56]/3 - 4*t[57] + 3*t[58] + 
       8*t[59] + (321*t[60])/2 + (1246*t[61])/3 - (6227*t[62])/24 - 
       (4537*t[63])/24 + (623*t[64])/4 + (15947*t[65])/36 - (5573*t[66])/9 + 
       (2*t[67])/3 + (14*t[68])/3 - (76*t[70])/3 + (76*t[71])/3 + 4*t[72] + 
       128*t[73] - (22*t[74])/3 + 32*t[75] - 18*t[76] + (7*t[77])/3 + 
       (40*t[78])/3 - 28*t[79] + (169*t[80])/3 + (152*t[81])/3 - 
       (197*t[82])/3 + 26*t[83] + (205*t[84])/3 + 39*t[85] + (421*t[86])/2 - 
       183*t[87] - (183*t[88])/2 - (119*t[89])/3 - (2*t[91])/3 + 
       (2*t[92])/3 + 2*t[93] - (2*t[94])/3 + 2*t[97] - 108*t[98] + 76*t[99] - 
       159*t[100] - 18*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*(t[1] - 41*t[2] - 9*t[3] - 53*t[4] + 
       (59*t[5])/4 + (127*t[6])/4 - (57*t[7])/4 - (13*t[8])/4 + 
       (303*t[9])/2 - (583*t[10])/4 - 27*t[11] + (55*t[12])/4 + 
       (13*t[13])/24 + (160*t[14])/3 - (2621*t[15])/36 - 2*t[17] + 16*t[19] + 
       16*t[20] - 16*t[21] - 20*t[22] + 14*t[23] - 16*t[25] - 4*t[26] - 
       4*t[27] + 20*t[28] - 8*t[29] - 64*t[30] - 24*t[31] - 6*t[32] - 
       6*t[33] + 74*t[34] + 20*t[35] - 4*t[36] - 8*t[37] - 4*t[38] + 
       26*t[39] - 32*t[40] - 13*t[41] + 14*t[42] - (3*t[43])/4 - 33*t[44] - 
       47*t[45] + 68*t[47] - 19*t[48] + (23*t[49])/2 - 4*t[50] - 
       (83*t[51])/4 + 38*t[52] - (23*t[53])/2 + 52*t[54] - 2*t[56] - 
       4*t[57] - 4*t[58] - 5*t[59] + 47*t[60] + (215*t[61])/2 - 2*t[62] + 
       172*t[63] + (1103*t[64])/4 + 57*t[65] - (225*t[66])/2 + 4*t[68] + 
       8*t[69] + 48*t[72] + 24*t[73] + 8*t[74] + 8*t[75] + 82*t[76] - 
       12*t[77] - 25*t[78] - 4*t[79] + 132*t[80] + 59*t[81] + 32*t[82] + 
       16*t[83] + 23*t[84] + 65*t[85] - 5*t[86] - 205*t[87] - (205*t[88])/2 - 
       (357*t[89])/2 + 4*t[93] + 14*t[97] + 168*t[98] - 192*t[99] - 
       176*t[100] - 12*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*(-t[1] - 12*t[2] - (305*t[3])/2 - 14*t[4] - 
       (623*t[5])/8 + (41*t[6])/8 - (23*t[7])/4 - (667*t[8])/4 + 
       (1761*t[9])/8 + (335*t[10])/4 + (363*t[11])/8 + (987*t[12])/8 + 
       (2141*t[13])/72 + (2347*t[14])/12 - (5339*t[15])/144 + 2*t[17] + 
       4*t[19] + 24*t[20] + 8*t[21] - 40*t[22] - 8*t[23] + 8*t[24] - 
       20*t[27] + 36*t[28] - 19*t[29] + 12*t[30] - 12*t[31] - 22*t[32] + 
       18*t[33] + 88*t[34] - 16*t[35] - 4*t[36] + 8*t[37] - 16*t[38] + 
       6*t[39] - 20*t[40] + 14*t[41] - 14*t[42] - 7*t[43] - (41*t[44])/2 - 
       91*t[45] - 4*t[46] + 80*t[47] - (191*t[48])/8 + (93*t[49])/2 - 
       (3*t[50])/8 - (121*t[51])/4 + (259*t[52])/8 - (61*t[53])/2 + 
       (83*t[54])/8 - 4*t[56] - 8*t[57] + 12*t[59] + (827*t[60])/4 + 
       (1543*t[61])/4 + (2633*t[62])/24 + (14359*t[63])/24 - (31*t[64])/24 + 
       (1081*t[65])/36 - (4081*t[66])/36 - 8*t[68] + 8*t[69] - 64*t[72] + 
       12*t[73] + 2*t[74] + 44*t[75] + 32*t[76] + 14*t[77] + 5*t[78] + 
       76*t[79] + 50*t[80] + 64*t[81] + 31*t[82] - (4*t[83])/3 + 
       (1031*t[84])/12 - (755*t[85])/12 - (1604*t[86])/3 - (1529*t[87])/12 - 
       (1529*t[88])/24 - (1489*t[89])/24 - 4*t[93] + 12*t[96] + 24*t[97] + 
       168*t[98] - 192*t[99] - 176*t[100] - 12*t[102]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*(43*t[1] + (111*t[2])/8 + 
       (23*t[3])/16 - (267*t[4])/16 + (1853*t[5])/32 - (4973*t[6])/32 + 
       (2061*t[7])/16 - (4633*t[8])/16 + (45*t[9])/32 - (5679*t[10])/32 + 
       (9941*t[11])/32 - (1869*t[12])/16 + (18587*t[13])/288 - 
       (1297*t[14])/64 + (7403*t[15])/192 - 3*t[19] + 3*t[20] + 3*t[21] - 
       6*t[22] - 3*t[23] - 15*t[25] - 36*t[26] - (21*t[27])/2 - 6*t[28] + 
       (21*t[29])/2 + (51*t[30])/2 - 36*t[31] + (9*t[32])/2 - (9*t[33])/2 - 
       (3*t[34])/2 - 3*t[35] + (3*t[36])/2 + 15*t[37] + 51*t[38] + 15*t[39] + 
       (7*t[40])/4 + (15*t[41])/4 - (15*t[42])/4 + (109*t[43])/8 - 
       (147*t[44])/4 + (113*t[45])/4 + 12*t[46] - 52*t[47] - 
       (1629*t[48])/32 + (465*t[49])/32 + (2847*t[50])/32 + (2367*t[51])/64 - 
       (3183*t[52])/32 + (879*t[53])/32 - (2673*t[54])/32 - 6*t[58] - 
       (113*t[59])/4 + (907*t[60])/8 - (511*t[61])/8 - (201*t[62])/16 + 
       (781*t[63])/16 + (2061*t[64])/16 - (1276*t[65])/3 - (2207*t[66])/6 + 
       6*t[68] + 3*t[69] - 9*t[70] + 9*t[71] + 12*t[72] + 12*t[73] + 
       3*t[74] - 39*t[75] + 57*t[76] - (65*t[77])/2 - 96*t[78] + 15*t[79] + 
       58*t[80] + (369*t[81])/4 - (11*t[82])/4 + 53*t[83] - (105*t[84])/8 - 
       (279*t[85])/4 + 13*t[86] - (687*t[87])/4 - (1191*t[88])/8 - 
       (3903*t[89])/16 + 6*t[95] + (75*t[96])/2 + (15*t[97])/2 + 414*t[98] - 
       702*t[99] + (81*t[100])/2 - 9*t[102]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((3*t[1])/4 + (81*t[2])/8 - (787*t[3])/8 - 
       (2191*t[4])/16 + (257*t[5])/8 - (191*t[6])/2 + (341*t[7])/4 - 
       (523*t[8])/8 - (11*t[9])/2 + (4097*t[10])/32 + (63*t[11])/8 - 
       (2463*t[12])/32 - (185*t[13])/16 + (36625*t[14])/192 + 
       (14657*t[15])/288 + 3*t[16] - 3*t[19] - 3*t[20] - 3*t[21] - 3*t[22] + 
       3*t[23] - 6*t[25] + 24*t[26] + 21*t[27] + 54*t[28] - (55*t[29])/2 - 
       18*t[30] + 33*t[31] - (9*t[32])/2 + (9*t[33])/2 - 6*t[34] + 45*t[35] + 
       (33*t[36])/2 - 2*t[37] + (17*t[38])/2 + 32*t[39] + (51*t[40])/2 - 
       (3*t[41])/2 + (3*t[42])/2 + (57*t[43])/4 + 55*t[44] + (99*t[45])/8 - 
       (67*t[46])/4 - (117*t[47])/4 - (73*t[48])/2 + (3839*t[49])/32 + 
       6*t[50] - (3461*t[51])/64 - 12*t[52] - (2255*t[53])/32 - 
       (911*t[54])/16 - (3*t[58])/2 - 8*t[59] + (835*t[60])/16 + 
       (4099*t[61])/16 - (571*t[62])/32 + (8635*t[63])/32 - (8561*t[64])/32 - 
       (601*t[65])/16 - (11995*t[66])/48 - (39*t[68])/4 - 59*t[69] + 
       13*t[70] - 13*t[71] + 51*t[72] + 108*t[73] + 19*t[74] - 75*t[75] + 
       (235*t[76])/2 - (69*t[77])/2 - (423*t[78])/4 - (289*t[79])/2 + 
       36*t[80] + 58*t[81] + (351*t[82])/4 + 34*t[83] - (3*t[84])/16 + 
       (695*t[85])/16 - (277*t[86])/4 - (631*t[87])/16 - (2599*t[88])/32 - 
       (4381*t[89])/32 - (9*t[90])/4 - t[91]/4 + 3*t[93] + 6*t[95] + 
       27*t[96] + 12*t[97] + 414*t[98] - 702*t[99] + (81*t[100])/2 - 
       9*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((7*t[1])/12 - (45*t[2])/4 - (349*t[3])/24 - 
       (21*t[4])/8 - (173*t[5])/16 - (479*t[6])/48 - (1129*t[7])/12 + 
       (41*t[8])/3 - (2659*t[9])/16 + (2627*t[10])/48 + (127*t[11])/16 - 
       (169*t[12])/24 + (5315*t[13])/216 - (18487*t[14])/288 + 
       (19919*t[15])/864 - 2*t[18] - t[19] - 2*t[20] - 4*t[21] + 
       (56*t[22])/3 + 4*t[23] - (14*t[24])/3 + (16*t[27])/3 + 4*t[28] - 
       15*t[29] + (14*t[30])/3 + (17*t[32])/3 - (20*t[33])/3 - 
       (157*t[34])/6 + 8*t[35] + 31*t[36] + (4*t[37])/3 + (53*t[38])/6 - 
       (17*t[39])/3 + (137*t[40])/6 - (59*t[41])/12 + (37*t[42])/12 + 
       (71*t[43])/24 + (62*t[44])/3 + (701*t[45])/12 + (14*t[46])/3 - 
       (129*t[47])/2 - (355*t[48])/16 - (1895*t[49])/48 - (269*t[50])/48 + 
       (995*t[51])/96 - (875*t[52])/48 + (1703*t[53])/48 - (797*t[54])/48 - 
       (2*t[55])/3 + t[56]/3 + (4*t[57])/3 - t[58] - (47*t[59])/6 - 
       (99*t[60])/4 + (587*t[61])/12 + (3947*t[62])/24 - (2983*t[63])/24 + 
       (1105*t[64])/24 + (1879*t[65])/36 - (413*t[66])/12 + 6*t[68] + 
       2*t[69] + (2*t[70])/3 - (2*t[71])/3 - 6*t[72] + 74*t[73] - 
       (8*t[74])/3 - 74*t[75] - 22*t[76] - (16*t[77])/3 + (67*t[78])/3 + 
       21*t[79] - (217*t[80])/3 + 16*t[81] - (137*t[82])/6 - 50*t[83] + 
       (101*t[84])/2 + (47*t[85])/2 - (302*t[86])/3 + (707*t[87])/6 + 
       (207*t[88])/4 + (173*t[89])/8 - (20*t[95])/3 - (14*t[96])/3 - 
       (25*t[97])/3 - 100*t[98] + 36*t[99] - 310*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((21*t[1])/4 - 9*t[2] - (215*t[3])/24 + (1649*t[4])/24 + 
       (715*t[5])/12 - (77*t[6])/12 - (29*t[7])/12 + (112*t[8])/3 - 
       (533*t[9])/4 - (49*t[10])/16 + (219*t[11])/2 - (2047*t[12])/48 + 
       (8395*t[13])/108 - (6499*t[14])/288 + (5603*t[15])/216 - (4*t[16])/3 + 
       (4*t[18])/3 - 10*t[19] + 6*t[20] + (10*t[21])/3 + (25*t[22])/3 - 
       (7*t[23])/3 + 21*t[25] - (11*t[26])/3 + 5*t[27] + 12*t[28] + 
       (97*t[29])/6 + (107*t[30])/6 - 10*t[31] + 14*t[32] - (29*t[33])/6 - 
       (205*t[34])/6 - 18*t[35] - (5*t[36])/3 + 19*t[37] + (19*t[38])/2 + 
       (11*t[39])/2 + (43*t[40])/3 - (13*t[41])/4 + (41*t[42])/12 - 
       (25*t[43])/4 + (161*t[44])/12 + (479*t[45])/12 + (41*t[46])/6 - 
       (259*t[47])/6 + (117*t[48])/4 - (365*t[49])/48 + (29*t[50])/4 - 
       (593*t[51])/96 - (277*t[52])/12 + (317*t[53])/48 - (607*t[54])/24 - 
       (4*t[58])/3 - (16*t[59])/3 + (779*t[60])/6 + (725*t[61])/4 + 
       (88*t[62])/3 - (1115*t[63])/6 + (1549*t[64])/24 + (949*t[65])/36 - 
       (931*t[66])/3 + (7*t[67])/3 + 5*t[68] - 8*t[69] + (10*t[70])/3 - 
       (10*t[71])/3 + 12*t[72] + 72*t[73] + (67*t[74])/3 - 68*t[75] - 
       (73*t[76])/3 - (43*t[77])/3 - 3*t[79] - (221*t[80])/3 + (49*t[81])/2 - 
       (337*t[82])/6 - 66*t[83] + (173*t[84])/3 + (11*t[85])/12 - 
       (271*t[86])/6 - (195*t[87])/4 - (119*t[88])/8 + (148*t[89])/3 - 
       t[91]/3 + (5*t[92])/3 + 2*t[93] - (7*t[94])/3 - 2*t[95] - 2*t[96] - 
       (11*t[97])/3 - 100*t[98] + 36*t[99] - 310*t[100] - 6*t[102]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-67*t[1])/9 + (2659*t[2])/72 - (9811*t[3])/288 - (17375*t[4])/144 - 
       (21005*t[5])/192 - (4445*t[6])/96 + (69755*t[7])/288 - 
       (43103*t[8])/288 + (72283*t[9])/576 - (22549*t[10])/96 + 
       (3251*t[11])/36 + (4451*t[12])/576 + (96209*t[13])/1296 + 
       (10063*t[14])/576 + (101987*t[15])/3456 + t[17]/2 + (5*t[18])/3 + 
       2*t[19] - 6*t[20] + (2*t[21])/3 - (139*t[22])/12 - (10*t[23])/3 - 
       6*t[24] - (4*t[25])/3 - (8*t[26])/3 + (61*t[27])/9 - (35*t[28])/9 - 
       (967*t[29])/36 - (55*t[30])/18 + 18*t[31] + (47*t[32])/9 - 
       (103*t[33])/18 + (26*t[34])/9 + (32*t[35])/3 + 21*t[36] - 
       (58*t[37])/3 + (89*t[38])/18 - (241*t[39])/18 + (181*t[40])/9 - 
       (319*t[41])/72 + (451*t[42])/72 + (55*t[43])/144 + (3187*t[44])/36 + 
       (2813*t[45])/72 + (7*t[46])/12 - (175*t[47])/12 - (27709*t[48])/288 - 
       (2731*t[49])/36 + (10673*t[50])/96 + (1963*t[51])/48 - 
       (4059*t[52])/32 + (1699*t[53])/36 + (1415*t[54])/96 - (2*t[55])/3 + 
       t[58]/3 - (455*t[59])/24 + (19327*t[60])/144 + (61679*t[61])/144 - 
       (44149*t[62])/288 + (16601*t[63])/288 + (2777*t[64])/96 + 
       (14527*t[65])/54 - (14623*t[66])/54 + 11*t[68] - (34*t[69])/3 - 
       (5*t[70])/3 + (5*t[71])/3 - 27*t[72] + (167*t[73])/3 - (46*t[74])/3 - 
       (179*t[75])/3 - (1303*t[76])/18 - (145*t[77])/12 + (1262*t[78])/9 - 
       3*t[79] + (470*t[80])/9 + 11*t[81] + (39*t[82])/2 + (77*t[83])/2 + 
       (6799*t[84])/48 + (12125*t[85])/144 + 182*t[86] + (12005*t[87])/144 + 
       (15461*t[88])/288 - (3437*t[89])/96 - (70*t[95])/3 - (128*t[96])/3 - 
       (260*t[97])/9 - (1127*t[98])/3 + (1511*t[99])/3 - (862*t[100])/3 - 
       6*t[102]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((379*t[1])/36 + (131*t[2])/36 + 
       (5845*t[3])/288 + (227*t[4])/8 + (14881*t[5])/288 + (38317*t[6])/576 + 
       (177*t[7])/16 + (5003*t[8])/144 - (2345*t[9])/12 - (8003*t[10])/48 + 
       (112423*t[11])/576 - (12613*t[12])/288 + (86677*t[13])/864 + 
       (35297*t[14])/1728 + (460675*t[15])/5184 + t[16] - (7*t[17])/6 - 
       (2*t[18])/3 + t[19] + 10*t[20] + (10*t[21])/3 + (17*t[22])/6 - 
       3*t[23] + (8*t[24])/3 + (80*t[25])/3 - t[26] - (34*t[27])/3 + 
       (19*t[28])/3 - (845*t[29])/72 + (200*t[30])/9 + (32*t[31])/9 + 
       (67*t[32])/12 - (103*t[33])/12 - (1637*t[34])/36 - 28*t[35] + 
       (97*t[36])/6 - 4*t[37] + (83*t[38])/9 + (1585*t[39])/72 - 
       (1093*t[40])/72 + (35*t[41])/6 - (16*t[42])/3 + (2639*t[43])/72 + 
       (1033*t[44])/36 + (799*t[45])/36 + (61*t[46])/6 - (793*t[47])/18 + 
       (4811*t[48])/576 - (755*t[49])/18 + (7249*t[50])/192 + 
       (137*t[51])/144 - (14995*t[52])/576 + (845*t[53])/18 - 
       (13387*t[54])/576 + t[56]/3 + (4*t[57])/3 + (5*t[58])/3 + 
       (137*t[59])/72 + (34891*t[60])/288 + (37457*t[61])/96 + 
       (137615*t[62])/576 + (2417*t[63])/64 + (52771*t[64])/576 - 
       (194099*t[65])/864 - (87707*t[66])/288 + t[67] - (11*t[68])/3 + 
       (7*t[69])/3 - (4*t[70])/3 + (4*t[71])/3 - 51*t[72] + 60*t[73] + 
       (253*t[74])/6 - (152*t[75])/3 - (899*t[76])/18 - (136*t[77])/9 + 
       (815*t[78])/18 - (101*t[79])/6 + (217*t[80])/6 - (143*t[81])/36 - 
       (2563*t[82])/36 - (178*t[83])/3 + (15689*t[84])/288 - 
       (34295*t[85])/288 - (3355*t[86])/18 + (6491*t[87])/96 + 
       (4027*t[88])/192 + (2377*t[89])/576 - t[91]/6 + t[92] - t[94] + 
       (8*t[95])/3 + (32*t[96])/3 - (97*t[97])/9 - (1393*t[98])/3 + 
       (1777*t[99])/3 - (710*t[100])/3 - 6*t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*((-3*t[1])/2 + 7*t[2] - 
       (7*t[3])/8 + (121*t[4])/8 - (585*t[5])/16 + (19*t[6])/2 + 
       (95*t[7])/8 + (861*t[8])/8 - (255*t[9])/16 + (605*t[10])/16 + 
       28*t[11] + (121*t[12])/4 - (2167*t[13])/144 + (177*t[14])/32 + 
       (757*t[15])/288 + 4*t[26] - 4*t[27] - 17*t[28] + 4*t[29] - 10*t[30] - 
       2*t[31] + 2*t[32] - 2*t[33] - 4*t[34] - 12*t[35] + 14*t[36] - 
       2*t[38] + 4*t[39] - t[40] + 2*t[41] - 2*t[42] - (9*t[43])/4 - 
       14*t[44] - (11*t[45])/2 + 13*t[47] + (143*t[48])/8 + (245*t[49])/16 - 
       (165*t[50])/8 - (165*t[51])/32 + (133*t[52])/8 - (117*t[53])/16 + 
       (113*t[54])/4 + 3*t[59] - (689*t[60])/8 + (1561*t[61])/8 - 
       (1701*t[62])/16 - (475*t[63])/16 + (3077*t[64])/16 + (123*t[65])/8 - 
       (1901*t[66])/24 - 2*t[68] + 4*t[72] + 14*t[73] - 10*t[75] + 17*t[76] - 
       13*t[77] - 27*t[78] + 28*t[79] + 12*t[80] + 17*t[81] - 5*t[82] + 
       48*t[83] - (141*t[84])/8 - (253*t[85])/8 + 110*t[86] + (325*t[87])/8 + 
       (325*t[88])/16 - (887*t[89])/16 + 13*t[96] + 8*t[97] + 84*t[98] - 
       96*t[99] - 144*t[100] - 6*t[102]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((23*t[1])/2 - (13*t[2])/2 - (247*t[3])/8 - 
       (33*t[4])/8 + (427*t[5])/16 - (93*t[6])/8 - (849*t[7])/8 - 
       (103*t[8])/8 - (807*t[9])/16 + (2249*t[10])/16 + (139*t[11])/8 - 
       (31*t[12])/2 + (8957*t[13])/144 + (1587*t[14])/32 + (5551*t[15])/96 + 
       3*t[16] + 14*t[25] - 26*t[26] + 2*t[27] + 14*t[28] + 2*t[29] - 
       7*t[30] - 11*t[31] - 2*t[32] + 2*t[33] + 2*t[34] - 33*t[35] - 
       4*t[36] - 10*t[37] + 12*t[38] + 6*t[39] + 2*t[40] - t[41] + t[42] + 
       (31*t[43])/4 - 6*t[44] + 11*t[45] - 7*t[46] - 24*t[47] + 
       (49*t[48])/2 - (323*t[49])/16 - (13*t[50])/2 + (901*t[51])/32 - 
       (7*t[52])/2 + (403*t[53])/16 + (143*t[54])/8 - 2*t[58] + 5*t[59] + 
       (953*t[60])/8 + (5095*t[61])/24 - (4973*t[62])/48 + (2183*t[63])/16 + 
       (581*t[64])/16 + (10561*t[65])/72 - (6589*t[66])/72 - 7*t[68] + 
       4*t[69] + 16*t[72] + 6*t[73] - 4*t[74] + 22*t[75] + 16*t[76] + 
       7*t[77] + (5*t[78])/2 + 30*t[79] + 13*t[80] + (89*t[81])/2 + 3*t[82] + 
       (2*t[83])/3 + (2471*t[84])/24 - (1169*t[85])/24 - (116*t[86])/3 - 
       (1915*t[87])/24 - (1915*t[88])/48 + (299*t[89])/16 + 3*t[90] + 
       4*t[93] + 6*t[96] + 12*t[97] + 84*t[98] - 96*t[99] - 144*t[100] - 
       6*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((4*t[1])/3 + (155*t[2])/12 - 26*t[3] + 
       (961*t[4])/24 - (81*t[5])/8 - (305*t[6])/24 - (143*t[7])/3 - t[8]/4 - 
       (169*t[9])/8 + (4585*t[10])/48 + (43*t[11])/8 - (929*t[12])/48 + 
       (9521*t[13])/216 + (17713*t[14])/288 + (1213*t[15])/72 + (7*t[16])/3 + 
       (2*t[17])/3 - 4*t[18] - (10*t[21])/3 + (8*t[22])/3 + 2*t[23] - 
       (5*t[24])/3 + 12*t[25] - 2*t[26] + 14*t[27] + 8*t[28] - 2*t[29] + 
       2*t[31] - t[32] + t[33] - 2*t[34] + 4*t[35] - t[36]/3 - 2*t[37] + 
       (13*t[38])/3 + 7*t[39] + t[40] - (11*t[41])/3 - (17*t[42])/6 + 
       (7*t[43])/12 + t[44]/3 - (17*t[45])/4 + (35*t[46])/6 - (7*t[47])/2 - 
       (193*t[48])/24 - (233*t[49])/48 + (31*t[50])/24 - (581*t[51])/96 + 
       (97*t[52])/24 + (257*t[53])/48 + (55*t[54])/12 + t[56]/3 - 
       (4*t[57])/3 + t[58]/3 + (2*t[59])/3 + (1261*t[60])/24 + 
       (609*t[61])/8 + (395*t[62])/16 + (1559*t[63])/48 - (3445*t[64])/48 - 
       (1801*t[65])/24 - (9949*t[66])/72 - t[67]/2 - 6*t[68] + 8*t[70] - 
       8*t[71] + 10*t[72] + 40*t[73] + (17*t[74])/3 - 36*t[75] + 
       (43*t[76])/3 + (11*t[77])/3 - 10*t[78] - 3*t[79] + (11*t[80])/3 + 
       (17*t[81])/2 + (27*t[82])/2 + 10*t[83] + (401*t[84])/24 + 
       (5*t[85])/8 - (601*t[86])/6 - (261*t[87])/8 - (261*t[88])/16 - 
       (635*t[89])/16 - t[91]/6 - (5*t[92])/3 + 2*t[93] + t[94]/3 + 
       68*t[98] - 132*t[99] - 105*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (t[1]/6 + (131*t[2])/12 - (231*t[3])/8 + (137*t[4])/8 - (495*t[5])/16 + 
       (173*t[6])/16 + (491*t[7])/24 + (185*t[8])/8 + (1451*t[9])/48 - 
       (745*t[10])/48 + (1177*t[11])/48 + (281*t[12])/24 + (4981*t[13])/432 + 
       (1419*t[14])/32 + (8107*t[15])/864 - t[17]/3 - 2*t[20] + 
       (10*t[23])/3 - (7*t[27])/3 + 8*t[28] - (17*t[29])/6 - (23*t[30])/6 + 
       2*t[31] + (25*t[32])/6 - (13*t[33])/6 + (26*t[34])/3 - 2*t[35] + 
       17*t[36] + t[37]/3 + (23*t[39])/3 - (16*t[40])/3 - t[41]/6 + t[42]/6 + 
       (11*t[43])/12 - (15*t[44])/2 - (25*t[45])/6 - (7*t[46])/6 + 
       (31*t[47])/3 + (71*t[48])/48 - (373*t[49])/48 + (17*t[50])/16 + 
       (373*t[51])/96 - (275*t[52])/48 + (373*t[53])/48 + (269*t[54])/16 + 
       (2*t[55])/3 + (11*t[59])/3 + (209*t[60])/3 + (1601*t[61])/12 + 
       (527*t[62])/24 + (379*t[63])/8 - (781*t[64])/24 - (238*t[65])/9 - 
       (2497*t[66])/36 - t[67]/6 + (2*t[68])/3 + (10*t[70])/3 - 
       (10*t[71])/3 - 5*t[72] + 52*t[73] + 3*t[74] - 48*t[75] + 3*t[76] - 
       (17*t[77])/6 + (22*t[78])/3 - 9*t[79] + 6*t[80] + (79*t[81])/6 - 
       (49*t[82])/6 + 2*t[83] + (331*t[84])/12 + 3*t[85] - (91*t[86])/3 - 
       61*t[87] - (91*t[88])/6 - (229*t[89])/8 - (8*t[95])/3 + (2*t[96])/3 - 
       (2*t[97])/3 + 68*t[98] - 132*t[99] - 105*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      ((-5*t[1])/6 - (181*t[2])/12 - (58*t[3])/3 + (237*t[4])/8 - 
       (503*t[5])/8 - (485*t[6])/24 + (529*t[7])/8 + (727*t[8])/8 + 
       (503*t[9])/6 - (2605*t[10])/48 + (2195*t[11])/24 + (2531*t[12])/48 + 
       (2080*t[13])/27 + (6899*t[14])/96 - (587*t[15])/48 - (2*t[16])/3 - 
       t[17]/3 + (19*t[18])/3 + (20*t[21])/3 + 4*t[22] - (23*t[23])/3 + 
       (20*t[24])/3 + (61*t[25])/3 + (2*t[26])/3 + (29*t[27])/3 + 8*t[28] - 
       4*t[29] - 2*t[30] - 2*t[31] - t[32]/3 + t[33] + 6*t[34] + 4*t[35] - 
       t[36]/3 + 10*t[37] - (14*t[38])/3 + 5*t[39] + t[40]/3 + 5*t[41] - 
       2*t[42] - (449*t[43])/24 - (4*t[44])/3 + t[45]/2 + (25*t[46])/3 + 
       (44*t[47])/3 - (227*t[48])/24 - (709*t[49])/48 - (251*t[50])/24 - 
       (103*t[51])/32 + (179*t[52])/24 + (661*t[53])/48 + (149*t[54])/6 + 
       t[56]/3 - (4*t[57])/3 + 2*t[58] + (17*t[59])/3 + 69*t[60] + 
       (551*t[61])/3 - (3191*t[62])/24 - (1083*t[63])/8 + (1601*t[64])/12 + 
       (5789*t[65])/36 - (3101*t[66])/9 + (2*t[67])/3 + (8*t[68])/3 - 
       (40*t[70])/3 + (40*t[71])/3 - 8*t[72] + 80*t[73] - (10*t[74])/3 - 
       32*t[75] + (32*t[76])/3 + t[77] - (40*t[78])/3 - 4*t[79] + 23*t[80] + 
       21*t[81] - (106*t[82])/3 + 4*t[83] + (77*t[84])/3 + (49*t[85])/2 + 
       (255*t[86])/2 - (415*t[87])/6 - (415*t[88])/12 + 24*t[89] - t[91]/3 + 
       (2*t[92])/3 - (2*t[94])/3 + 52*t[98] - 72*t[99] - 77*t[100] - 
       6*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*
      ((-5*t[1])/3 - (16*t[2])/3 + (247*t[3])/8 - (227*t[4])/24 + 
       (1321*t[5])/48 - (619*t[6])/16 - (961*t[7])/24 - (923*t[8])/8 - 
       (3755*t[9])/48 + (437*t[10])/48 + (209*t[11])/48 - (245*t[12])/24 + 
       (1123*t[13])/144 - (11431*t[14])/288 + (6505*t[15])/864 + t[17]/2 + 
       (2*t[23])/3 - (2*t[24])/3 - (7*t[27])/3 + 12*t[28] + (17*t[29])/6 + 
       22*t[30] - 2*t[31] - 21*t[32] + 9*t[34] + 2*t[35] + 41*t[36] - 
       (4*t[37])/3 - (34*t[39])/3 + (64*t[40])/3 - (2*t[41])/3 + 
       (2*t[42])/3 + t[43]/12 + (197*t[44])/12 + (7*t[45])/6 + (11*t[46])/6 - 
       8*t[47] - (435*t[48])/16 - (49*t[49])/16 + (281*t[50])/16 - 
       (143*t[51])/32 - (1307*t[52])/48 + (49*t[53])/16 - (527*t[54])/16 - 
       (2*t[55])/3 + (10*t[59])/3 - 79*t[60] + (225*t[61])/4 + 
       (793*t[62])/6 + (615*t[63])/4 + (403*t[64])/24 + (47*t[65])/9 + 
       (967*t[66])/36 - t[68] - (20*t[70])/3 + (20*t[71])/3 - 7*t[72] + 
       64*t[73] - (13*t[74])/3 - 84*t[75] - 4*t[76] - (13*t[77])/2 + 
       (52*t[78])/3 + 31*t[79] - (22*t[80])/3 + t[81]/2 + (21*t[82])/2 + 
       18*t[83] - (61*t[84])/12 - (29*t[85])/3 - (329*t[86])/3 + 
       (172*t[87])/3 + (23*t[88])/3 - (148*t[89])/3 + (14*t[95])/3 + 
       (20*t[96])/3 - (13*t[97])/3 + 52*t[98] - 72*t[99] - 77*t[100] - 
       6*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-23*t[1])/2 + (46*t[2])/3 - (52*t[3])/3 - 
       (141*t[4])/8 - (837*t[5])/8 + (1871*t[6])/48 + (415*t[7])/4 - 
       (50*t[8])/3 + (1441*t[9])/6 - (285*t[10])/16 + (4451*t[11])/48 + 
       (1321*t[12])/16 + (7331*t[13])/144 + (47813*t[14])/288 - 
       (23545*t[15])/432 - 3*t[22] - (10*t[23])/3 + (4*t[24])/3 - 11*t[27] + 
       (44*t[28])/3 + (53*t[29])/6 - (47*t[30])/3 + 24*t[31] - t[32]/3 - 
       (5*t[33])/3 + (91*t[34])/3 + 38*t[35] + t[36] - (35*t[37])/3 - 
       (25*t[38])/3 + (34*t[39])/3 - (73*t[40])/3 - 3*t[41] + 3*t[42] - 
       (35*t[43])/3 + (11*t[44])/2 - (11*t[45])/2 - (53*t[46])/6 + 
       (110*t[47])/3 - (1049*t[48])/48 + (451*t[49])/48 - (135*t[50])/16 - 
       (169*t[51])/32 + (1717*t[52])/48 - (643*t[53])/48 + (325*t[54])/16 - 
       (2*t[55])/3 - 8*t[59] + (1199*t[60])/6 + (3781*t[61])/12 - 
       (1829*t[62])/8 + (2095*t[63])/24 - (2029*t[64])/24 + (91*t[65])/3 - 
       (12425*t[66])/36 + 8*t[68] - 10*t[69] + (2*t[70])/3 - (2*t[71])/3 - 
       13*t[72] + 58*t[73] - (62*t[74])/3 - 40*t[75] + 32*t[76] + 
       (37*t[77])/6 - (37*t[78])/3 + t[79] + (7*t[80])/3 + 34*t[81] - 
       (257*t[82])/6 - 25*t[83] + (95*t[84])/2 + (298*t[85])/3 + 
       (74*t[86])/3 - (551*t[87])/3 - (189*t[88])/2 - (659*t[89])/24 + 
       (4*t[95])/3 - (2*t[96])/3 - 3*t[97] + 376*t[98] - 488*t[99] - 
       55*t[100] - 6*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-7*t[1])/2 + (75*t[2])/4 - (97*t[3])/4 - 
       (787*t[4])/24 - (1003*t[5])/24 - (1027*t[6])/24 + (1151*t[7])/12 - 
       125*t[8] + (635*t[9])/8 - (3931*t[10])/48 + (833*t[11])/24 + 
       (3083*t[12])/48 + (64*t[13])/9 + (2023*t[14])/96 - (511*t[15])/36 - 
       (4*t[16])/3 - t[18] - (2*t[21])/3 - 8*t[22] + 5*t[23] - 2*t[24] + 
       4*t[25] + (29*t[26])/3 + 2*t[27] + 4*t[28] - (29*t[29])/2 - 
       (11*t[30])/2 + 4*t[31] - t[32]/6 - (7*t[33])/6 + 25*t[34] + 4*t[35] - 
       (11*t[36])/3 + 6*t[37] - (5*t[38])/3 + (55*t[39])/6 - (35*t[40])/6 - 
       (17*t[41])/6 - (8*t[42])/3 + t[43]/6 + (55*t[44])/3 - (107*t[45])/12 + 
       (35*t[46])/6 + (83*t[47])/6 - (847*t[48])/24 - (211*t[49])/16 + 
       (913*t[50])/24 - (761*t[51])/96 - (307*t[52])/8 + (227*t[53])/16 - 
       (43*t[54])/3 - t[56]/3 - (4*t[57])/3 + (8*t[58])/3 + (7*t[59])/6 - 
       (995*t[60])/24 - (607*t[61])/8 + (1547*t[62])/16 + (4295*t[63])/48 + 
       (659*t[64])/48 + (1091*t[65])/24 - (1129*t[66])/72 + (3*t[67])/2 + 
       2*t[69] - 22*t[72] + 56*t[73] + (53*t[74])/3 - 60*t[75] + 
       (142*t[76])/3 + (2*t[77])/3 - 50*t[78] + 5*t[79] + (65*t[80])/3 + 
       (17*t[81])/2 + (47*t[82])/2 + 21*t[83] + (29*t[84])/24 + 
       (173*t[85])/8 - (325*t[86])/6 + (107*t[87])/8 + (107*t[88])/16 - 
       (411*t[89])/16 - t[91]/6 + t[92]/3 - 2*t[93] - (5*t[94])/3 + t[97] + 
       236*t[98] - 348*t[99] + 25*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-21*t[1])/4 + (115*t[2])/6 - (43*t[3])/4 + (1505*t[4])/24 - 
       (599*t[5])/16 + (3665*t[6])/48 - (2737*t[7])/24 + (253*t[8])/8 + 
       (463*t[9])/48 + (1283*t[10])/48 - (449*t[11])/48 - (77*t[12])/8 - 
       (4163*t[13])/432 - (719*t[14])/32 - (1795*t[15])/864 + (7*t[16])/3 + 
       t[19] - t[20] + t[21] - t[22] - t[23] + 8*t[25] - (28*t[26])/3 - 
       (10*t[27])/3 - 2*t[28] + 3*t[29] + 18*t[30] + 9*t[31] + (31*t[32])/6 + 
       (4*t[33])/3 + (23*t[34])/6 - 26*t[35] + (25*t[36])/3 + (23*t[37])/3 - 
       (11*t[38])/6 - 7*t[39] - (37*t[40])/6 - (35*t[41])/12 + 
       (35*t[42])/12 + (31*t[43])/4 - (183*t[44])/4 + (37*t[45])/6 + 
       (41*t[46])/6 - (38*t[47])/3 + (577*t[48])/48 - (353*t[49])/48 + 
       (79*t[50])/16 - (449*t[51])/96 + (587*t[52])/48 - (359*t[53])/48 - 
       (811*t[54])/48 + t[58] - (31*t[59])/6 + (311*t[60])/4 - 
       (1093*t[61])/12 + (1955*t[62])/8 + (221*t[63])/8 + (877*t[64])/24 + 
       (118*t[65])/9 + (284*t[66])/3 - (10*t[68])/3 + 14*t[69] - 
       (4*t[70])/3 + (4*t[71])/3 - 12*t[72] + 48*t[73] - (17*t[74])/3 - 
       68*t[75] - (124*t[76])/3 - (38*t[77])/3 + (109*t[78])/3 + 55*t[79] - 
       (122*t[80])/3 + (215*t[81])/6 - (91*t[82])/6 - t[83] + (241*t[84])/4 + 
       (233*t[85])/3 - (319*t[86])/3 - 70*t[87] - (74*t[88])/3 + 
       (1381*t[89])/24 - (26*t[95])/3 - (74*t[96])/3 - (49*t[97])/3 - 
       76*t[98] - 60*t[99] + 212*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((151*t[1])/12 + (305*t[2])/12 + (709*t[3])/24 + (1649*t[4])/24 - 
       (629*t[5])/16 + (2413*t[6])/48 - (467*t[7])/6 + (785*t[8])/12 - 
       (1007*t[9])/16 + (507*t[10])/16 - (7055*t[11])/48 - (649*t[12])/12 - 
       (982*t[13])/27 - (51011*t[14])/288 - (12479*t[15])/288 - (4*t[16])/3 - 
       2*t[18] - t[19] - t[20] - t[21] + 3*t[23] - 2*t[24] - 6*t[25] - 
       (11*t[26])/3 + 4*t[27] - 14*t[28] + 5*t[29] - 18*t[30] + 3*t[31] + 
       t[32]/3 - t[33]/3 - (19*t[34])/6 + 4*t[35] + 9*t[36] + (16*t[37])/3 + 
       (71*t[38])/6 - 8*t[39] - (22*t[40])/3 - (17*t[41])/12 + (5*t[42])/12 - 
       (571*t[43])/24 + (11*t[44])/2 - (13*t[45])/12 - 21*t[46] - 
       (7*t[47])/2 + (2695*t[48])/48 + (1267*t[49])/48 + (1003*t[50])/48 + 
       (161*t[51])/32 + (733*t[52])/48 - (329*t[53])/16 - (2461*t[54])/48 + 
       (14*t[58])/3 - (37*t[59])/3 - (575*t[60])/2 - (4501*t[61])/12 + 
       (6599*t[62])/24 - (2563*t[63])/24 + (4627*t[64])/24 + 
       (6151*t[65])/36 + (3175*t[66])/12 + 8*t[68] + 8*t[69] - (10*t[70])/3 + 
       (10*t[71])/3 - 20*t[72] + 68*t[73] - (26*t[74])/3 - 62*t[75] - 
       19*t[76] - (22*t[77])/3 + (34*t[78])/3 + 35*t[79] - (385*t[80])/3 - 
       9*t[81] + (133*t[82])/6 + 3*t[83] - 7*t[84] + (113*t[85])/2 - 
       (74*t[86])/3 + (658*t[87])/3 + (183*t[88])/2 + (149*t[89])/2 - 
       (8*t[95])/3 - (20*t[96])/3 - (46*t[97])/3 - 76*t[98] - 60*t[99] + 
       212*t[100] - 6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((3*t[1])/2 + t[2]/4 + (155*t[3])/4 - 
       50*t[4] + (219*t[5])/8 - (179*t[6])/8 - (271*t[7])/8 - (87*t[8])/8 - 
       (523*t[9])/4 + (395*t[10])/8 - (265*t[11])/4 + (27*t[12])/8 - 
       (483*t[13])/16 - (2329*t[14])/24 + (225*t[15])/8 - (5*t[17])/2 - 
       2*t[19] - 4*t[20] - 2*t[21] + 12*t[22] + 2*t[23] - t[24] - 2*t[27] + 
       2*t[28] + 2*t[29] + 26*t[30] - 4*t[32] + 13*t[33] - 9*t[34] - 
       4*t[35] - t[36] + 4*t[37] + 2*t[38] - 10*t[39] + 4*t[40] - t[41] + 
       t[42] - (9*t[43])/8 + (53*t[44])/4 - 11*t[45] - t[46]/2 + 16*t[47] - 
       (33*t[48])/2 - (55*t[49])/4 + (67*t[50])/4 + (25*t[51])/2 - 
       (83*t[52])/4 + (55*t[53])/4 - (53*t[54])/4 + t[56] + 2*t[57] + t[59] - 
       121*t[60] - (65*t[61])/2 + (955*t[62])/8 + (89*t[63])/8 + 
       (383*t[64])/4 + (791*t[65])/6 + (2651*t[66])/12 - (7*t[68])/2 + 
       4*t[69] + 6*t[72] - 40*t[73] - 10*t[74] + 64*t[75] - 43*t[76] + 
       4*t[77] + (131*t[78])/2 - 40*t[79] - 18*t[80] - 9*t[81] + 
       (51*t[82])/2 + 40*t[83] - 23*t[84] - (215*t[85])/4 - (41*t[86])/2 + 
       110*t[87] + 55*t[88] - (177*t[89])/8 - t[90]/2 + t[91]/6 - t[97] - 
       288*t[98] + 252*t[99] + 351*t[100] - 6*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-t[1]/2 + (25*t[2])/4 + (115*t[3])/4 - (299*t[4])/4 + (355*t[5])/16 - 
       (581*t[6])/16 + 6*t[7] - 7*t[8] - (1003*t[9])/16 - (73*t[10])/4 - 
       (795*t[11])/16 + (921*t[12])/16 - (5851*t[13])/144 - (481*t[14])/6 + 
       (2785*t[15])/288 + t[17] + t[18] - 2*t[19] - 2*t[21] - 21*t[22] + 
       3*t[23] - 18*t[24] + 4*t[27] - 14*t[28] - (5*t[29])/2 + 19*t[30] + 
       2*t[31] - 4*t[32] - 8*t[33] - 10*t[34] - 6*t[35] - 3*t[36] + 2*t[37] + 
       2*t[38] - 10*t[39] + 11*t[40] - 2*t[41] + (3*t[42])/2 + (39*t[43])/8 + 
       t[44]/4 - (37*t[45])/2 + (17*t[46])/2 + 36*t[47] - (369*t[48])/16 - 
       (67*t[49])/4 + (235*t[50])/16 + (33*t[51])/4 - (411*t[52])/16 + 
       (67*t[53])/4 + (205*t[54])/16 - 2*t[56] + 2*t[57] - 2*t[59] - 
       (1049*t[60])/8 - (393*t[61])/8 + (257*t[62])/16 - (577*t[63])/16 + 
       (2483*t[64])/16 + (3653*t[65])/24 + (4537*t[66])/24 - (5*t[68])/2 + 
       4*t[69] + 6*t[72] - 40*t[73] - 20*t[74] + 44*t[75] - 41*t[76] - 
       9*t[77] + (93*t[78])/2 + 6*t[79] + 7*t[80] - (37*t[81])/2 + 
       (59*t[82])/2 + 82*t[83] - (157*t[84])/8 - (141*t[85])/8 + 
       (145*t[86])/2 + (749*t[87])/8 + (749*t[88])/16 + (43*t[89])/16 - 
       t[90]/2 + t[91]/6 - t[97] - 288*t[98] + 252*t[99] + 351*t[100] - 
       6*t[102]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-133*t[1])/18 + (2477*t[2])/72 - 
       (5125*t[3])/144 + (3343*t[4])/72 - (3853*t[5])/32 + (3137*t[6])/24 + 
       (4715*t[7])/144 + (8821*t[8])/144 + (44563*t[9])/288 - 
       (327*t[10])/16 - (12491*t[11])/144 + (1061*t[12])/288 - 
       (74261*t[13])/1296 + (4229*t[14])/32 - (4769*t[15])/576 + 
       (5*t[16])/3 - t[17]/2 - 7*t[18] - 4*t[19] + 5*t[20] - 8*t[21] + 
       (41*t[22])/6 + (20*t[23])/3 - 13*t[24] + 15*t[25] + 2*t[26] - 
       (121*t[27])/9 + (152*t[28])/9 + (112*t[29])/9 - (311*t[30])/18 + 
       (35*t[31])/3 + (431*t[32])/18 - (287*t[33])/18 - (182*t[34])/9 + 
       18*t[35] + (67*t[36])/3 + 5*t[37] - (5*t[38])/18 + (233*t[39])/9 - 
       (142*t[40])/9 - (193*t[41])/36 + (13*t[42])/36 - (619*t[43])/36 - 
       (113*t[44])/18 + (499*t[45])/18 + (19*t[46])/4 - (140*t[47])/3 + 
       (1487*t[48])/36 - (913*t[49])/72 + (9*t[50])/4 - (529*t[51])/48 + 
       (373*t[52])/12 + (985*t[53])/72 + (147*t[54])/2 + (4*t[58])/3 - 
       (35*t[59])/6 + (3611*t[60])/36 + (4535*t[61])/18 + (11071*t[62])/72 + 
       (623*t[63])/9 - (1937*t[64])/8 - (3566*t[65])/27 + (1580*t[66])/27 - 
       (11*t[68])/2 + (2*t[69])/3 + (55*t[70])/3 - (55*t[71])/3 - 19*t[72] + 
       (355*t[73])/6 + 2*t[74] - (343*t[75])/6 - (76*t[76])/9 - (4*t[77])/3 + 
       (83*t[78])/18 + 4*t[79] - (3073*t[80])/18 - (51*t[81])/4 - 
       (359*t[82])/4 - (181*t[83])/3 + (1061*t[84])/24 - (137*t[85])/9 - 
       (1255*t[86])/6 - (203*t[87])/9 + (20*t[88])/9 - (55*t[89])/24 - 
       t[90]/6 - t[91]/6 + 2*t[93] - (20*t[95])/3 + t[97]/18 - (91*t[98])/3 + 
       (103*t[99])/3 - (2*t[100])/3 - 10*t[101] - 6*t[102]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (-2*t[1] + (563*t[2])/12 - (721*t[3])/6 - (1519*t[4])/12 - 
       (427*t[5])/48 + (245*t[6])/4 - (1589*t[7])/12 + (1545*t[8])/8 - 
       (1827*t[9])/16 + (403*t[10])/12 - (662*t[11])/3 - (789*t[12])/16 - 
       (45803*t[13])/432 - (443*t[14])/8 + (52411*t[15])/864 - t[17]/3 - 
       2*t[18] + t[19] + 6*t[20] - (13*t[21])/3 + (35*t[22])/3 + 
       (14*t[23])/3 - (10*t[24])/3 - (11*t[25])/3 + t[26]/3 + 21*t[27] + 
       10*t[28] - (43*t[29])/8 - (103*t[30])/8 + (2*t[31])/3 + 
       (697*t[32])/24 + (35*t[33])/24 + (7*t[34])/3 + (7*t[36])/2 - t[37]/3 + 
       t[38]/2 - (583*t[39])/24 + (323*t[40])/24 - (13*t[41])/2 + 
       (9*t[42])/2 + (33*t[43])/4 - 13*t[44] + (175*t[45])/6 + (83*t[46])/6 - 
       (202*t[47])/3 + (199*t[48])/8 - (1133*t[49])/24 + (373*t[50])/24 + 
       (293*t[51])/48 - (175*t[52])/8 + (263*t[53])/8 + 106*t[54] + 
       (2*t[55])/3 - (5*t[58])/3 - (10*t[59])/3 - (565*t[60])/8 - 
       (748*t[61])/3 + (11591*t[62])/48 - (2449*t[63])/48 - (99*t[64])/16 + 
       (5951*t[65])/36 + (3167*t[66])/9 + (13*t[68])/2 + (7*t[69])/3 + 
       (38*t[70])/3 - (38*t[71])/3 - (38*t[72])/3 + 60*t[73] + (44*t[74])/3 - 
       (164*t[75])/3 - (76*t[76])/3 + (83*t[77])/6 + 43*t[78] + 42*t[79] - 
       (64*t[80])/3 - 16*t[81] + (76*t[82])/3 + (125*t[83])/3 + 
       (823*t[84])/12 + (577*t[85])/12 - (38*t[86])/3 + (3341*t[87])/24 + 
       (1791*t[88])/16 + (535*t[89])/16 - t[90]/6 - (92*t[95])/3 - 32*t[96] - 
       (35*t[97])/3 - 119*t[98] + 123*t[99] + 50*t[100] - 10*t[101] - 
       6*t[102]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((11*t[1])/12 - 185*t[2] - (2885*t[3])/8 - (689*t[4])/12 + 
       (2205*t[5])/8 + (2551*t[6])/16 - (515*t[7])/6 + (3281*t[8])/6 - 
       (1166*t[9])/3 + (10703*t[10])/24 + (3565*t[11])/16 - (2819*t[12])/12 + 
       (10217*t[13])/54 + (12445*t[14])/24 + (19469*t[15])/48 - 4*t[16] - 
       17*t[18] - 18*t[19] + 18*t[20] - 9*t[21] + 78*t[22] + (38*t[23])/3 - 
       36*t[24] + 20*t[25] - (25*t[26])/2 + 6*t[27] - (269*t[29])/3 + 
       (4*t[30])/3 + 30*t[31] + 6*t[32] + 9*t[33] - (178*t[34])/3 - 
       12*t[35] + 20*t[36] + 12*t[37] + (19*t[38])/3 - 14*t[39] + 54*t[40] - 
       (151*t[41])/12 + (25*t[42])/12 + (391*t[43])/4 - (37*t[44])/6 + 
       117*t[45] + 14*t[46] - (2093*t[47])/6 - (1079*t[48])/16 + 
       (637*t[49])/24 - (5677*t[50])/48 - (989*t[51])/48 + (1223*t[52])/16 - 
       (23*t[53])/8 - (437*t[54])/16 - (21*t[58])/2 + (17*t[59])/3 + 
       (4067*t[60])/12 - (383*t[61])/12 + (22229*t[62])/48 - 
       (17395*t[63])/16 - (1145*t[64])/12 - (9751*t[65])/8 - (4354*t[66])/9 + 
       3*t[68] + t[69] + 18*t[70] - 18*t[71] + 15*t[72] + 180*t[73] + 
       84*t[74] - 100*t[75] + (253*t[76])/6 + (107*t[77])/2 + (4*t[78])/3 - 
       118*t[79] + (363*t[80])/2 - (3*t[81])/2 - (415*t[82])/6 + 
       (177*t[83])/2 - 87*t[84] + (202*t[85])/3 - (31*t[86])/4 + 
       (511*t[87])/12 + (703*t[88])/24 - (3377*t[89])/24 + 18*t[96] - 
       (14*t[97])/3 - 360*t[98] + 60*t[99] + 210*t[100] + 2*t[101] - 
       6*t[102]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((221*t[1])/12 - (13*t[2])/6 - (5435*t[3])/24 + (193*t[4])/4 - 
       (2497*t[5])/16 - (1819*t[6])/24 + (19511*t[7])/24 - (6611*t[8])/24 + 
       (27755*t[9])/48 - (1513*t[10])/24 + (1345*t[11])/12 - 
       (4145*t[12])/48 - (1189*t[13])/9 + (3895*t[14])/16 + 
       (46591*t[15])/288 - 4*t[18] + 18*t[19] - 3*t[20] - 18*t[21] + 
       2*t[22] + (71*t[23])/3 - 12*t[25] - 6*t[26] - 48*t[28] + 107*t[29] + 
       (63*t[30])/2 - 27*t[31] + (913*t[32])/6 - (493*t[33])/6 - 
       (157*t[34])/3 + 60*t[35] + 26*t[36] + 6*t[37] + 29*t[38] - 
       (173*t[39])/6 + (485*t[40])/6 + (155*t[41])/12 - (179*t[42])/12 + 
       (209*t[43])/12 + (91*t[44])/2 - (28*t[45])/3 + 16*t[46] + 
       (311*t[47])/6 - (1291*t[48])/24 - (209*t[49])/4 + (7721*t[50])/24 + 
       (317*t[51])/24 - (3167*t[52])/8 + (839*t[53])/12 - (857*t[54])/24 - 
       6*t[58] - (23*t[59])/3 + (721*t[60])/6 + (2705*t[61])/6 - 
       (7129*t[62])/24 - (901*t[63])/8 - (5411*t[64])/6 - (2389*t[65])/9 + 
       (1573*t[66])/4 + 12*t[68] + 15*t[69] + 18*t[70] - 18*t[71] + 9*t[72] + 
       54*t[73] + 30*t[74] + 8*t[75] + (13*t[76])/3 - (16*t[77])/3 - 
       (74*t[78])/3 + 14*t[79] + (400*t[80])/3 - (364*t[81])/3 + 
       (65*t[82])/3 + (89*t[83])/2 + t[84]/12 - (1091*t[85])/12 + 
       (293*t[86])/3 + (1351*t[87])/12 + (2491*t[88])/24 - (589*t[89])/12 - 
       48*t[95] + 24*t[96] + 21*t[97] - 360*t[98] + 60*t[99] + 210*t[100] + 
       2*t[101] - 6*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*(t[59] + (46*t[60])/3 + (431*t[61])/4 + 
       (2527*t[62])/48 + (2029*t[63])/48 + (59*t[64])/4 - (2849*t[65])/72 + 
       (139*t[66])/36 + 10*t[69] - (20*t[72])/3 - 22*t[73] + 6*t[74] + 
       28*t[75] - 3*t[76] - (5*t[77])/2 + 40*t[78] - 6*t[79] + (23*t[80])/2 + 
       (10*t[81])/3 + (23*t[82])/6 + 9*t[83] - (43*t[84])/6 - 20*t[85] - 
       (509*t[86])/12 + (53*t[87])/3 + (53*t[88])/6 - (125*t[89])/4 + 
       t[91]/6 - 2*t[93] - t[97] - 152*t[98] + 160*t[99] + 16*t[100] - 
       4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(2*t[59] - (59*t[60])/6 + (171*t[61])/4 + 
       (201*t[62])/16 - (983*t[63])/48 - (179*t[64])/12 - (4661*t[65])/72 + 
       (2551*t[66])/36 - 10*t[69] + (62*t[72])/3 - 24*t[73] - 2*t[74] + 
       22*t[75] + t[76] - (5*t[77])/2 + 34*t[78] - 8*t[79] - (5*t[80])/2 + 
       (2*t[81])/3 - (29*t[82])/6 + (89*t[83])/3 - (49*t[84])/6 - 
       (104*t[85])/3 + (13*t[86])/4 + (95*t[87])/3 + (95*t[88])/6 - 
       (563*t[89])/12 + t[91]/6 + 2*t[93] - t[97] - 152*t[98] + 160*t[99] + 
       26*t[100] - 4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*(2*t[59] - (219*t[60])/4 - 
       19*t[61] - (169*t[62])/48 + (61*t[63])/48 + (2425*t[64])/24 + 
       (1831*t[65])/72 + (1162*t[66])/9 - t[68] - 2*t[72] - 24*t[73] - 
       24*t[74] + 24*t[75] - 13*t[76] - (3*t[77])/2 + 36*t[78] - 2*t[79] - 
       (7*t[80])/2 - 9*t[81] + (23*t[82])/2 + (112*t[83])/3 - (2*t[84])/3 - 
       (34*t[85])/3 + (581*t[86])/12 + (128*t[87])/3 + (64*t[88])/3 + 
       (409*t[89])/24 + t[91]/6 + t[97] - 184*t[98] + 160*t[99] + 
       222*t[100] - 4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((-5*t[1])/4 - (221*t[2])/8 - 
       (145*t[3])/16 - (87*t[4])/4 + (487*t[5])/16 - (73*t[6])/32 - 
       (323*t[7])/16 - (473*t[8])/16 + (987*t[9])/16 - (877*t[10])/16 - 
       (181*t[11])/32 - (77*t[12])/16 + (6679*t[13])/288 - (1117*t[14])/96 - 
       (625*t[15])/16 + 7*t[19] + 2*t[20] - 7*t[21] - t[22]/2 + 
       (13*t[23])/2 + 5*t[24] - 6*t[25] - 2*t[26] + 4*t[27] + 14*t[28] - 
       (21*t[29])/4 - (55*t[30])/2 - 9*t[31] - t[32] + 2*t[33] + 37*t[34] + 
       14*t[35] - (3*t[36])/2 + t[37] - 3*t[38] + 10*t[39] - (29*t[40])/2 - 
       (29*t[41])/4 + (15*t[42])/2 + (45*t[43])/16 - (107*t[44])/8 - 
       14*t[45] - (5*t[46])/4 + (37*t[47])/2 - (137*t[48])/32 + 
       (21*t[49])/2 - (189*t[50])/32 - (183*t[51])/16 + (685*t[52])/32 - 
       (21*t[53])/2 + (237*t[54])/32 - t[57] - 2*t[58] - (19*t[59])/4 + 
       (19*t[60])/16 - (449*t[61])/16 + (1337*t[62])/32 + (2551*t[63])/32 + 
       (4071*t[64])/32 + (469*t[65])/16 - (1807*t[66])/16 + (9*t[68])/4 + 
       4*t[69] + 12*t[72] + 38*t[73] + 4*t[74] - 30*t[75] + (111*t[76])/2 - 
       5*t[77] - (141*t[78])/4 + 4*t[79] + 62*t[80] + (105*t[81])/4 + 
       18*t[82] - 11*t[83] + (67*t[84])/16 + (883*t[85])/16 - (107*t[86])/4 - 
       (1587*t[87])/16 - (1587*t[88])/32 - (1617*t[89])/32 + t[90]/4 - 
       t[91]/12 + t[93] + (13*t[97])/2 + 198*t[98] - 216*t[99] - 73*t[100] - 
       3*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - v]*(-t[1]/4 - (179*t[2])/8 - (913*t[3])/16 - (27*t[4])/4 - 
       (327*t[5])/16 - (337*t[6])/32 - (131*t[7])/16 - (1767*t[8])/16 + 
       (1833*t[9])/16 + (665*t[10])/16 + (967*t[11])/32 + (739*t[12])/16 + 
       (6203*t[13])/288 + (7123*t[14])/96 - (232*t[15])/9 + (7*t[17])/4 + 
       2*t[19] + 10*t[20] + 3*t[21] - 16*t[22] - 3*t[23] + (9*t[24])/2 - 
       6*t[27] + 15*t[28] - (27*t[29])/4 + (31*t[30])/2 - 7*t[31] - 4*t[32] + 
       (9*t[33])/2 + 37*t[34] - 5*t[35] + (5*t[36])/2 + 5*t[37] - 7*t[38] + 
       5*t[39] - 12*t[40] + 5*t[41] - 5*t[42] - (53*t[43])/16 - 
       (41*t[44])/8 - (59*t[45])/2 - (5*t[46])/4 + 25*t[47] - 
       (333*t[48])/32 + (109*t[49])/4 - (57*t[50])/32 - (285*t[51])/16 + 
       (505*t[52])/32 - (77*t[53])/4 - (599*t[54])/32 - (3*t[56])/2 - 
       3*t[57] + (5*t[59])/4 + (1155*t[60])/16 + (1983*t[61])/16 + 
       (1737*t[62])/32 + (8511*t[63])/32 + (547*t[64])/32 + (133*t[65])/48 - 
       (3875*t[66])/48 - (13*t[68])/4 + 4*t[69] - 45*t[72] + 26*t[73] + 
       2*t[74] - 14*t[75] + (65*t[76])/2 + 6*t[77] - (115*t[78])/4 + 
       50*t[79] + 28*t[80] + 26*t[81] + (41*t[82])/4 - 12*t[83] + 
       (525*t[84])/16 - (237*t[85])/16 - (1017*t[86])/4 - (1027*t[87])/16 - 
       (1027*t[88])/32 - (73*t[89])/32 + t[90]/4 - t[91]/12 - 3*t[93] + 
       6*t[96] + (23*t[97])/2 + 198*t[98] - 216*t[99] - 73*t[100] - 
       3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((29*t[1])/2 + (73*t[2])/8 + (975*t[3])/16 + 
       (347*t[4])/4 - (553*t[5])/16 - (333*t[6])/32 - (587*t[7])/16 - 
       (2365*t[8])/16 - (561*t[9])/16 - (1329*t[10])/16 - (2273*t[11])/32 - 
       (865*t[12])/16 - (12821*t[13])/288 - (3907*t[14])/32 - 
       (12691*t[15])/144 + t[17]/2 - 4*t[18] + 3*t[19] - 5*t[20] + 3*t[21] + 
       3*t[22] - (5*t[23])/2 + 5*t[24] - 8*t[25] + (11*t[26])/2 + 5*t[27] + 
       3*t[28] + (19*t[29])/4 + t[30]/2 - t[31] + 7*t[32] - (3*t[34])/2 + 
       t[35] + (5*t[36])/2 + 2*t[37] + 2*t[38] + 4*t[39] - (15*t[40])/2 - 
       (7*t[41])/2 + (3*t[42])/4 - (187*t[43])/16 + (65*t[44])/8 - 5*t[45] - 
       (9*t[46])/4 + 9*t[47] + (859*t[48])/32 - (11*t[49])/2 - 
       (265*t[50])/32 - (31*t[51])/16 + (681*t[52])/32 + (11*t[53])/2 + 
       (281*t[54])/32 + t[56] - t[57] - t[58]/2 + (9*t[59])/2 - 
       (1321*t[60])/16 - (1029*t[61])/16 + (2557*t[62])/32 + 
       (1707*t[63])/32 + (1611*t[64])/32 - (559*t[65])/16 + (6539*t[66])/48 - 
       (3*t[68])/4 - 10*t[69] + 8*t[70] - 8*t[71] - 11*t[72] + 22*t[73] + 
       17*t[74] - 19*t[75] + (27*t[76])/2 + 19*t[77] - (117*t[78])/4 - 
       t[79] - 32*t[80] - (19*t[81])/4 - (7*t[82])/2 - 37*t[83] - 
       (77*t[84])/16 + (339*t[85])/16 - (387*t[86])/4 + (637*t[87])/16 + 
       (685*t[88])/32 + (403*t[89])/32 + t[90]/4 - t[91]/12 - t[93] - t[97] + 
       78*t[98] - 174*t[99] + (187*t[100])/2 - 3*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((3*t[1])/4 + (49*t[2])/8 - (521*t[3])/16 - (135*t[4])/4 + 
       (917*t[5])/16 - (669*t[6])/32 - (2251*t[7])/16 + (385*t[8])/16 - 
       (1355*t[9])/16 + (553*t[10])/16 - (645*t[11])/32 - (317*t[12])/16 - 
       (875*t[13])/96 - (3073*t[14])/96 - (153*t[15])/8 + (3*t[17])/4 - 
       t[19] - 9*t[20] - 2*t[21] + 7*t[22] + 2*t[23] + t[24]/2 - t[25] + 
       4*t[27] + 4*t[28] - (31*t[29])/4 - (9*t[30])/2 - t[31] + 
       (19*t[32])/2 + (3*t[33])/2 + 10*t[34] - 9*t[35] + (5*t[36])/2 + 
       5*t[37] - (3*t[38])/2 - 2*t[39] - (3*t[40])/2 + t[41] - (3*t[42])/2 + 
       (47*t[43])/16 - (281*t[44])/8 + 8*t[45] + (9*t[46])/4 + (9*t[47])/2 - 
       (137*t[48])/32 - t[49]/2 - (1253*t[50])/32 - (81*t[51])/16 + 
       (1605*t[52])/32 - (9*t[53])/2 - (315*t[54])/32 + t[56]/2 + t[57] - 
       (39*t[59])/4 + (1173*t[60])/16 - (7169*t[61])/48 - (8851*t[62])/288 - 
       (21869*t[63])/288 + (82781*t[64])/288 - (41789*t[65])/432 - 
       (53953*t[66])/432 - (9*t[68])/4 - 7*t[69] + 5*t[70] - 5*t[71] - 
       14*t[72] + 28*t[73] + 12*t[74] - 33*t[75] + (27*t[76])/2 + 2*t[77] - 
       (61*t[78])/4 + (69*t[79])/4 - 2*t[80] + (41*t[81])/12 - 
       (187*t[82])/6 - (16*t[83])/9 + (1865*t[84])/144 + (3709*t[85])/144 + 
       (695*t[86])/18 - (4973*t[87])/144 + (355*t[88])/288 + 
       (3377*t[89])/288 + t[90]/4 - t[91]/12 - t[93] - 9*t[96] - 
       (5*t[97])/2 + 78*t[98] - 174*t[99] + (571*t[100])/6 - 3*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-223*t[1])/36 - (1273*t[2])/72 - (991*t[3])/72 + (247*t[4])/144 - 
       (3881*t[5])/192 + (193*t[6])/192 - (1075*t[7])/288 - (8573*t[8])/288 + 
       (1921*t[9])/576 + (421*t[10])/32 + (47027*t[11])/576 + 
       (13067*t[12])/576 + (45193*t[13])/648 + (571*t[14])/32 - 
       (13163*t[15])/1152 + (5*t[17])/6 - t[18]/3 + 5*t[19] + 8*t[20] - 
       5*t[21] - (19*t[22])/4 + 4*t[23] + (13*t[24])/3 - t[26] - 
       (5*t[27])/9 - (35*t[28])/9 - (359*t[29])/18 + (743*t[30])/72 + 
       15*t[31] - (785*t[32])/72 + (161*t[33])/72 + (605*t[34])/36 + 
       35*t[35] + (15*t[36])/2 - (13*t[37])/3 - (29*t[38])/9 - 
       (107*t[39])/36 - (227*t[40])/36 - (55*t[41])/72 + (163*t[42])/72 - 
       (5*t[43])/36 + (503*t[44])/72 + (1019*t[45])/72 + (31*t[46])/12 - 
       (11*t[47])/4 - (12479*t[48])/576 + (77*t[49])/144 + (201*t[50])/64 - 
       (145*t[51])/96 + (375*t[52])/64 - (173*t[53])/144 - (1523*t[54])/192 - 
       t[56]/2 + t[57] - (29*t[59])/36 + (5069*t[60])/288 + 
       (31525*t[61])/288 - (56279*t[62])/576 + (26455*t[63])/576 + 
       (8105*t[64])/64 - (8819*t[65])/864 - (164737*t[66])/864 - 
       (11*t[68])/6 + 9*t[69] - (11*t[70])/3 + 4*t[71] + (2*t[72])/3 + 
       (173*t[73])/6 - (21*t[74])/2 - (109*t[75])/6 + (335*t[76])/18 - 
       (25*t[77])/4 - (82*t[78])/9 - (37*t[79])/2 + (91*t[80])/18 + 
       25*t[81] - (161*t[82])/6 + (253*t[83])/6 - (321*t[84])/32 + 
       (5323*t[85])/288 + (413*t[86])/12 - (3653*t[87])/288 - 
       (11333*t[88])/576 - (1027*t[89])/192 - t[90]/6 - t[91]/12 + t[93] + 
       (20*t[95])/3 + (8*t[96])/3 - (13*t[97])/18 + (352*t[98])/3 - 
       (340*t[99])/3 + (113*t[100])/3 + 4*t[101] - 3*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (t[1] - 2*t[2] - (99*t[3])/8 + (3*t[4])/2 - (25*t[5])/2 - 
       (29*t[6])/16 + 9*t[7] - (59*t[8])/2 + (135*t[9])/8 + (13*t[10])/4 + 
       (333*t[11])/16 + (29*t[12])/4 + (1177*t[13])/72 + (779*t[14])/48 + 
       (121*t[15])/72 + 2*t[19] - 7*t[29] + (13*t[30])/2 + t[32]/2 - 
       t[33]/2 + 3*t[34] + 4*t[36] - 4*t[37] - 2*t[39] + 2*t[40] + t[41] - 
       t[42] + 5*t[44] - (107*t[48])/16 - (15*t[49])/4 + (93*t[50])/16 + 
       (7*t[51])/8 - (93*t[52])/16 + (15*t[53])/4 - (101*t[54])/16 + 
       (89*t[60])/12 + (419*t[61])/4 + (167*t[62])/4 + (370*t[63])/3 + 
       (173*t[64])/6 - (310*t[65])/9 - (559*t[66])/18 - t[68] - 4*t[69] - 
       (7*t[72])/3 + 29*t[73] + 25*t[75] + 23*t[76] - 3*t[77] + 45*t[78] + 
       3*t[79] + (7*t[80])/2 + (8*t[81])/3 - (77*t[82])/6 - (37*t[83])/3 + 
       (113*t[84])/6 - (59*t[85])/3 - (371*t[86])/4 + (47*t[87])/12 + 
       (47*t[88])/24 - (205*t[89])/24 - 20*t[98] + 24*t[99] - 
       (175*t[100])/2 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*((4*t[1])/3 - (19*t[2])/6 + 
       (7*t[3])/6 + (85*t[4])/6 + (121*t[5])/4 + (11*t[6])/4 - (34*t[7])/3 - 
       (25*t[8])/6 - (469*t[9])/12 - 21*t[10] + (109*t[11])/12 - 
       (311*t[12])/12 + (731*t[13])/54 - (111*t[14])/4 + (935*t[15])/72 + 
       t[22] + (2*t[27])/3 - (4*t[28])/3 - (8*t[29])/3 + (2*t[30])/3 - 
       4*t[31] - (2*t[32])/3 + (2*t[33])/3 - (8*t[34])/3 - 12*t[35] + 
       2*t[37] + (2*t[38])/3 - (4*t[39])/3 + (5*t[40])/3 + (2*t[41])/3 - 
       (2*t[42])/3 + (43*t[43])/6 + (2*t[44])/3 - (77*t[45])/6 + 4*t[46] + 
       16*t[47] - (13*t[48])/12 - (13*t[49])/6 + (17*t[50])/4 - (5*t[51])/4 - 
       (25*t[52])/4 + (13*t[53])/6 - (37*t[54])/4 + 2*t[59] - (235*t[60])/6 - 
       (331*t[61])/6 + (149*t[62])/3 - 14*t[63] + (559*t[64])/12 - 
       (77*t[65])/4 - (179*t[66])/12 + 2*t[69] + (8*t[72])/3 + 33*t[73] + 
       4*t[74] + 41*t[75] + (5*t[76])/3 - 4*t[77] + (49*t[78])/3 + 
       (139*t[80])/3 - (25*t[81])/3 + (79*t[82])/6 - (103*t[83])/3 - 
       (23*t[84])/12 - (283*t[85])/12 + 9*t[86] + (93*t[87])/4 + 
       (93*t[88])/8 - (38*t[89])/3 - t[97]/3 - 48*t[98] + 52*t[99] - 
       (143*t[100])/2 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*(t[3]/2 + 2*t[4] + t[5] + 
       (5*t[6])/4 - 5*t[7] - 3*t[8] - (3*t[9])/2 + t[10] + (11*t[11])/4 - 
       t[12] + (13*t[13])/6 + (5*t[14])/12 - t[15]/3 - t[48]/4 + t[49] - 
       t[50]/4 - t[51]/2 + t[52]/4 - t[53] - (11*t[54])/4 - (7*t[59])/2 - 
       (125*t[60])/9 + (563*t[61])/6 + (39*t[62])/4 - (2869*t[63])/36 + 
       (3103*t[64])/72 - (31471*t[65])/216 - (3376*t[66])/27 - t[68] - 
       t[69]/3 - (23*t[72])/9 + 37*t[73] - 2*t[74] - (71*t[75])/2 + 
       17*t[76] + 3*t[77] + (10*t[78])/3 - 11*t[79] - (31*t[80])/2 - 
       (23*t[81])/36 - (1019*t[82])/36 + (376*t[83])/9 - (1127*t[84])/72 - 
       (136*t[85])/9 - (395*t[86])/12 + (713*t[87])/18 + (713*t[88])/36 - 
       (415*t[89])/36 - 4*t[97] - 24*t[98] + 44*t[99] - (229*t[100])/6 - 
       2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*(-t[3]/2 - t[5]/4 + t[7]/2 + (3*t[8])/2 - 
       (3*t[9])/4 - t[10]/2 + t[11]/2 + t[12]/4 + (37*t[14])/12 + 
       (13*t[15])/24 - t[22] - 2*t[29] - t[59]/2 - (175*t[60])/4 + 
       (617*t[61])/12 + (1129*t[62])/48 - (725*t[63])/48 - 49*t[64] + 
       (196*t[65])/9 + (1613*t[66])/72 + (25*t[69])/3 + (5*t[72])/3 + 
       (35*t[73])/6 + (41*t[75])/6 - 8*t[76] + (74*t[78])/3 - 2*t[79] - 
       15*t[80] + (17*t[81])/4 + (113*t[82])/12 + 4*t[83] - t[84]/24 - 
       (11*t[85])/6 - (4*t[86])/3 + (139*t[87])/4 + (139*t[88])/8 - 
       15*t[89] - 3*t[96] - 2*t[97] - 24*t[98] + 44*t[99] - (229*t[100])/6 - 
       2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((13*t[1])/6 - (37*t[2])/3 - 
       (203*t[3])/48 - (37*t[4])/24 + (953*t[5])/32 - (13*t[6])/4 - 
       (797*t[7])/48 + (1229*t[8])/48 - (6451*t[9])/96 + (653*t[10])/16 + 
       (929*t[11])/48 - (1187*t[12])/96 + (10043*t[13])/432 - 
       (3095*t[14])/96 + (4087*t[15])/192 + t[18]/3 + (3*t[22])/2 + 
       (10*t[27])/3 - (20*t[28])/3 - (10*t[29])/3 + (19*t[30])/3 + 2*t[31] - 
       (10*t[32])/3 + (10*t[33])/3 - (40*t[34])/3 - 6*t[35] + t[37] + 
       (10*t[38])/3 - (20*t[39])/3 + (25*t[40])/3 + (19*t[41])/12 - 
       (19*t[42])/12 + (7*t[43])/3 + (16*t[44])/3 + (25*t[45])/12 + 
       (7*t[46])/2 + (13*t[47])/2 - (133*t[48])/24 - (119*t[49])/24 - 
       (15*t[50])/8 + (47*t[51])/16 - (65*t[52])/8 + (119*t[53])/24 - 
       (83*t[54])/8 - t[59]/4 + (605*t[60])/12 + (419*t[61])/8 - 
       (29*t[62])/32 - (13109*t[63])/96 - (857*t[64])/8 - (187*t[65])/16 - 
       (2923*t[66])/24 - t[68]/2 + (8*t[69])/3 - 3*t[72] + (127*t[73])/6 + 
       (59*t[74])/6 - (88*t[75])/3 + (5*t[76])/6 + (9*t[77])/4 - 19*t[78] - 
       (20*t[79])/3 - (145*t[80])/12 + (35*t[81])/12 - (23*t[82])/4 + 
       (38*t[83])/3 + (3*t[84])/2 + (359*t[85])/24 - (767*t[86])/24 - 
       (55*t[87])/24 + (41*t[88])/48 - (19*t[89])/12 - t[91]/12 - t[93] + 
       3*t[96] - t[97]/6 - 14*t[98] + 2*t[99] - (29*t[100])/6 - 2*t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (t[3]/4 + t[4] + t[5]/2 + (3*t[6])/8 - (5*t[7])/2 - (3*t[8])/2 - 
       (5*t[9])/4 - t[10] + (13*t[11])/8 - t[12]/2 + (23*t[13])/12 - 
       (49*t[14])/24 + (7*t[15])/12 + t[39]/2 - t[40]/2 + t[44]/2 + t[48]/8 + 
       t[50]/8 + t[51]/4 - t[52]/8 - (13*t[54])/8 + t[59]/2 - 
       (115*t[60])/48 + (917*t[61])/16 + (1147*t[62])/72 - (2953*t[63])/72 + 
       (2743*t[64])/288 - (9001*t[65])/432 - (7625*t[66])/432 + (8*t[72])/3 + 
       5*t[73] + (17*t[74])/6 - 10*t[75] - 5*t[76] - t[77]/2 + 4*t[78] - 
       t[79]/24 - 4*t[80] + (3*t[81])/8 - (37*t[82])/24 + (157*t[83])/9 - 
       (29*t[84])/36 - (367*t[85])/144 - (245*t[86])/72 + (335*t[87])/144 + 
       (335*t[88])/288 - (6917*t[89])/288 - 18*t[98] + 8*t[99] - 
       (5*t[100])/3 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((5*t[1])/3 - (67*t[2])/6 - (587*t[3])/48 + (95*t[4])/4 - (89*t[5])/3 - 
       (587*t[6])/96 + (61*t[7])/2 + (55*t[8])/12 + (135*t[9])/16 - 
       (143*t[10])/8 + (2227*t[11])/96 - (263*t[12])/24 + (2023*t[13])/144 - 
       (2059*t[14])/288 + (355*t[15])/216 - 2*t[28] - (35*t[29])/12 + 
       (47*t[30])/6 + (10*t[31])/3 + 4*t[32] - 4*t[33] - (47*t[34])/6 + 
       4*t[35] + 7*t[36] + t[37] + (10*t[38])/3 + (4*t[39])/3 + 
       (11*t[40])/3 + t[41]/2 - t[42]/2 + (8*t[43])/3 + (55*t[44])/6 + 
       (35*t[45])/3 - t[46] - (22*t[47])/3 + (683*t[48])/96 - 
       (253*t[49])/24 + (401*t[50])/32 + (337*t[51])/48 - (1843*t[52])/96 + 
       (253*t[53])/24 + (53*t[54])/96 - (4*t[59])/3 + (5873*t[60])/144 + 
       (2933*t[61])/48 - (58*t[62])/3 + (305*t[63])/72 - (15679*t[64])/288 - 
       (1169*t[65])/216 - (12227*t[66])/432 - (3*t[68])/2 - (11*t[69])/3 - 
       (40*t[72])/9 + (29*t[73])/2 - 6*t[74] - 14*t[75] - (47*t[76])/3 - 
       (77*t[77])/12 + (85*t[78])/3 - (41*t[79])/2 - (39*t[80])/4 + 
       (5*t[81])/9 - (427*t[82])/36 + (35*t[83])/9 + (1429*t[84])/144 - 
       (779*t[85])/144 - (311*t[86])/24 + (4109*t[87])/144 + 
       (4109*t[88])/288 + (5867*t[89])/288 - t[91]/12 + t[93] - (5*t[97])/3 - 
       14*t[98] + 2*t[99] - (7*t[100])/6 - 2*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-3*t[3])/4 - t[4] + t[5]/8 + t[6]/2 + (3*t[7])/4 + (9*t[8])/4 + 
       (3*t[9])/8 + (5*t[10])/4 + (3*t[11])/4 + (19*t[12])/8 + t[13]/4 + 
       (59*t[14])/24 + (9*t[15])/16 - t[22]/2 - t[29] - (35*t[60])/6 + 
       (77*t[61])/6 - (33*t[62])/2 - t[63]/2 + (317*t[64])/12 - 
       (545*t[65])/36 - (94*t[66])/9 + (8*t[72])/3 - t[73] - 14*t[75] - 
       8*t[78] + (3*t[79])/2 - t[80] - (5*t[81])/6 - (11*t[82])/6 + 
       (37*t[83])/6 - (4*t[84])/3 - (3*t[85])/4 + (21*t[86])/2 + 
       (5*t[87])/12 + (5*t[88])/24 - (7*t[89])/12 - 18*t[98] + 8*t[99] + 
       (13*t[100])/6 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((-19*t[3])/8 - (103*t[4])/4 + 
       (131*t[5])/16 + (9*t[6])/2 + (279*t[7])/8 - (43*t[8])/8 + 
       (189*t[9])/16 - (57*t[10])/8 + (317*t[11])/8 + (45*t[12])/16 + 
       (559*t[13])/24 + (755*t[14])/48 + (685*t[15])/96 + 2*t[19] - 2*t[21] + 
       t[22] + 2*t[23] + 2*t[30] + 8*t[31] + 12*t[35] - 4*t[37] - t[39] + 
       t[40] + t[41]/2 - t[42]/2 + (13*t[43])/2 + 3*t[44] - 3*t[45] + 
       5*t[46] + 14*t[47] - (39*t[48])/4 + (5*t[49])/4 - (3*t[50])/4 - 
       (11*t[51])/8 + (3*t[52])/4 - (5*t[53])/4 - (7*t[54])/4 - (9*t[59])/2 - 
       (2395*t[60])/72 + (2843*t[61])/24 - (2957*t[62])/48 - 
       (8809*t[63])/144 + (17837*t[64])/144 - (2915*t[65])/27 - 
       (37523*t[66])/216 + t[69]/3 + (13*t[72])/9 + (104*t[73])/3 - 2*t[74] - 
       (161*t[75])/6 + 33*t[76] - (3*t[77])/2 - (37*t[78])/3 - 7*t[79] + 
       34*t[80] - (245*t[81])/36 - (365*t[82])/36 + (316*t[83])/9 - 
       (1079*t[84])/72 + (413*t[85])/36 + (365*t[86])/12 + (1201*t[87])/36 + 
       (1201*t[88])/72 - (1909*t[89])/144 - 2*t[97] + 72*t[98] - 148*t[99] + 
       (33*t[100])/2 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-2*t[1])/3 - (17*t[2])/6 - 
       (22*t[3])/3 - 7*t[4] - (40*t[5])/3 - (625*t[6])/24 + 85*t[7] - 
       (232*t[8])/3 + (191*t[9])/4 - (57*t[10])/2 + (869*t[11])/24 + 
       (23*t[12])/6 + (29*t[13])/3 + (523*t[14])/72 - (19*t[15])/216 + 
       2*t[20] - 3*t[22] - 4*t[28] - (107*t[29])/6 + (55*t[30])/6 + 
       (2*t[31])/3 + (11*t[32])/2 - (11*t[33])/2 + (10*t[34])/3 + 4*t[35] + 
       10*t[36] + 2*t[37] + (2*t[38])/3 + (2*t[39])/3 + t[40]/3 + 
       (7*t[43])/3 + (64*t[44])/3 + (7*t[45])/3 - (5*t[47])/3 - 
       (611*t[48])/24 - (59*t[49])/6 + (207*t[50])/8 + (65*t[51])/12 - 
       (653*t[52])/24 + (59*t[53])/6 - (557*t[54])/24 - (2*t[59])/3 + 
       (2389*t[60])/72 + (907*t[61])/24 - (547*t[62])/24 - (6229*t[63])/72 - 
       (7961*t[64])/144 - (16511*t[65])/216 - (6317*t[66])/108 - 
       (7*t[69])/3 + (14*t[72])/9 + (71*t[73])/6 - 2*t[74] - (43*t[75])/6 + 
       (11*t[76])/3 - (13*t[77])/3 - (19*t[78])/3 - 16*t[79] + 21*t[80] + 
       (59*t[81])/36 - (259*t[82])/36 + (170*t[83])/9 + (277*t[84])/36 + 
       (671*t[85])/72 + (86*t[86])/3 + (469*t[87])/72 + (469*t[88])/144 - 
       (4091*t[89])/144 + 3*t[96] + (5*t[97])/3 + 44*t[98] - 120*t[99] + 
       (65*t[100])/2 - 2*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((23*t[1])/6 - (85*t[2])/4 - (257*t[3])/24 - (295*t[4])/24 + 
       (2411*t[5])/96 - (2099*t[6])/96 + (739*t[7])/48 + (139*t[8])/16 - 
       (7897*t[9])/96 + (475*t[10])/16 + (773*t[11])/96 - (2119*t[12])/96 + 
       (3457*t[13])/216 - (3655*t[14])/72 + (58271*t[15])/1728 + t[18]/3 + 
       (3*t[22])/2 + (10*t[27])/3 - (26*t[28])/3 - (21*t[29])/4 + 
       (85*t[30])/6 + (16*t[31])/3 + (5*t[32])/3 - (5*t[33])/3 - 
       (127*t[34])/6 - 5*t[35] + 6*t[36] + 2*t[37] + (20*t[38])/3 - 
       (16*t[39])/3 + 12*t[40] + (25*t[41])/12 - (25*t[42])/12 + 
       (13*t[43])/2 + (37*t[44])/2 + (59*t[45])/4 + (9*t[46])/2 - 
       (23*t[47])/6 - (905*t[48])/96 - (69*t[49])/4 + (725*t[50])/32 + 
       (40*t[51])/3 - (3775*t[52])/96 + (69*t[53])/4 - (943*t[54])/96 - 
       (97*t[59])/12 - (685*t[60])/16 + (107*t[61])/48 - (1117*t[62])/144 - 
       (19493*t[63])/144 + (13495*t[64])/288 - (1475*t[65])/54 - 
       (2717*t[66])/432 - t[68] + (22*t[72])/3 + 14*t[73] - (31*t[74])/6 - 
       11*t[75] - (46*t[76])/3 - (107*t[77])/12 + (94*t[78])/3 - 
       (50*t[79])/3 + (221*t[80])/12 - (107*t[81])/12 + (133*t[82])/12 + 
       (689*t[83])/18 - (2621*t[84])/144 - (1531*t[85])/144 + 
       (1411*t[86])/72 + (12761*t[87])/144 + (12761*t[88])/288 + 
       (3061*t[89])/288 - t[91]/12 + t[93] - (16*t[97])/3 - 104*t[98] + 
       80*t[99] + 97*t[100] - 2*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((-59*t[1])/24 + (313*t[2])/48 + (437*t[3])/96 + 
       (195*t[4])/8 - (1123*t[5])/96 - (4867*t[6])/192 + (245*t[7])/32 - 
       (13333*t[8])/96 + (687*t[9])/32 + (329*t[10])/32 + (2573*t[11])/192 - 
       (1121*t[12])/96 + (8195*t[13])/576 + (2605*t[14])/576 - 
       (9803*t[15])/864 + (3*t[17])/8 - (5*t[19])/2 - 5*t[20] - (5*t[21])/2 + 
       t[22] + (5*t[23])/2 + t[24]/4 - t[26] + (5*t[27])/2 + (7*t[28])/2 + 
       (197*t[29])/24 + (89*t[30])/6 - (2*t[31])/3 - (69*t[32])/4 + t[33] + 
       (97*t[34])/6 - (21*t[35])/2 - (35*t[36])/4 + (3*t[37])/2 - 
       (13*t[38])/6 + (31*t[39])/12 + (5*t[40])/12 - (5*t[41])/2 + 
       (3*t[42])/2 - (299*t[43])/96 + (269*t[44])/48 - (139*t[45])/12 + 
       (31*t[46])/8 + (20*t[47])/3 - (4847*t[48])/192 + (383*t[49])/24 + 
       (623*t[50])/64 - (1051*t[51])/96 - (1805*t[52])/192 - (383*t[53])/24 - 
       (4397*t[54])/192 + t[56]/4 + t[57]/2 - (131*t[59])/24 - 
       (3643*t[60])/96 - (1077*t[61])/32 + (1903*t[62])/192 + 
       (10835*t[63])/64 + (6173*t[64])/192 - (22261*t[65])/288 - 
       (1245*t[66])/32 - (5*t[68])/8 - 6*t[69] - 2*t[70] + 2*t[71] - 
       10*t[72] + 19*t[73] + 8*t[74] - (39*t[75])/2 + (337*t[76])/12 + 
       (13*t[77])/3 - (593*t[78])/24 + (29*t[79])/2 - (33*t[80])/2 + 
       (71*t[81])/3 - (229*t[82])/24 + 22*t[83] - (1817*t[84])/96 + 
       (1817*t[85])/96 - (587*t[86])/24 - (1539*t[87])/32 - (2819*t[88])/64 - 
       (8143*t[89])/192 + t[90]/8 - t[91]/24 - t[93]/2 + 10*t[95] + 4*t[96] - 
       (29*t[97])/12 + 163*t[98] - 162*t[99] - (413*t[100])/4 - 
       (3*t[102])/2) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2*((205*t[1])/24 + (161*t[2])/48 - (4555*t[3])/96 - 
       (403*t[4])/24 - (425*t[5])/32 + (2115*t[6])/64 + (6407*t[7])/96 + 
       (10645*t[8])/96 + (9329*t[9])/96 - (2033*t[10])/32 + 
       (12821*t[11])/192 + (1741*t[12])/96 + (96749*t[13])/1728 + 
       (4985*t[14])/64 - (3407*t[15])/288 - t[17]/2 + (43*t[18])/12 + 
       (5*t[19])/2 - t[20] + (17*t[21])/2 + 10*t[22] - (35*t[23])/4 + 
       (21*t[24])/2 + 4*t[25] - 4*t[26] - (7*t[27])/6 + (23*t[28])/6 - 
       (35*t[29])/24 + (19*t[30])/12 - (15*t[31])/2 + (43*t[32])/6 - 
       (11*t[33])/3 + (121*t[34])/6 - 3*t[35] + (17*t[36])/4 - t[37] - 
       (7*t[38])/6 + (22*t[39])/3 - (143*t[40])/12 - (13*t[41])/24 + 
       (5*t[42])/3 - (673*t[43])/96 - (269*t[44])/48 - (68*t[45])/3 - 
       (9*t[46])/8 + (275*t[47])/4 + (3121*t[48])/192 - (89*t[49])/24 - 
       (361*t[50])/64 + (63*t[51])/32 + (793*t[52])/64 + (89*t[53])/24 + 
       (1193*t[54])/64 + t[56] - (5*t[57])/2 + 2*t[58] - (65*t[59])/8 + 
       (6629*t[60])/96 + (16801*t[61])/96 - (26393*t[62])/192 - 
       (3383*t[63])/192 + (10595*t[64])/64 + (23077*t[65])/288 - 
       (45847*t[66])/288 - (7*t[68])/8 - 9*t[69] - 9*t[70] + 9*t[71] - 
       (13*t[72])/2 + 13*t[73] + 4*t[74] - (17*t[75])/2 + (361*t[76])/12 - 
       (13*t[77])/2 - (407*t[78])/24 - 5*t[79] + (547*t[80])/6 + 
       (103*t[81])/8 - (21*t[82])/4 - 15*t[83] + (251*t[84])/32 + 
       (349*t[85])/96 + (549*t[86])/8 - (2261*t[87])/96 - (2261*t[88])/192 + 
       (579*t[89])/64 + t[90]/8 - t[91]/24 - t[93]/2 + (19*t[97])/12 + 
       163*t[98] - 162*t[99] - (413*t[100])/4 - (3*t[102])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-7*t[1])/8 + (51*t[2])/16 + (5*t[3])/32 + (433*t[4])/32 - 
       (801*t[5])/64 + (261*t[6])/64 + (51*t[7])/32 + (877*t[8])/32 - 
       (345*t[9])/64 + (2253*t[10])/64 - (437*t[11])/64 + (109*t[12])/16 - 
       (935*t[13])/576 - (911*t[14])/384 + (517*t[15])/384 + 2*t[26] - 
       t[27]/4 - 2*t[28] + (11*t[29])/4 - (15*t[30])/4 - t[31]/2 + 
       (3*t[32])/4 - (3*t[33])/4 - (3*t[34])/2 - (23*t[35])/2 + 
       (27*t[36])/4 - (5*t[38])/4 + (7*t[39])/2 - (19*t[40])/8 + 
       (3*t[41])/4 - (3*t[42])/4 - (17*t[43])/16 + (11*t[44])/8 - 
       (7*t[45])/8 - (3*t[46])/4 + (5*t[47])/2 + (253*t[48])/64 + 
       (353*t[49])/64 - (495*t[50])/64 - (157*t[51])/128 + (399*t[52])/64 - 
       (161*t[53])/64 + (749*t[54])/64 + (3*t[59])/2 - (97*t[60])/4 + 
       (385*t[61])/8 - (369*t[62])/16 - (133*t[63])/16 + (549*t[64])/16 + 
       (249*t[65])/16 - (731*t[66])/48 - t[68] + 23*t[73] - 23*t[75] + 
       (41*t[76])/4 - (11*t[77])/4 - (53*t[78])/4 + (21*t[79])/2 + t[80] + 
       (57*t[81])/8 - (39*t[82])/8 + (9*t[83])/2 - (11*t[84])/4 - 
       (159*t[85])/16 + 13*t[86] + (123*t[87])/16 + (123*t[88])/32 - 
       (41*t[89])/8 + (21*t[96])/4 + 3*t[97] + 99*t[98] - 108*t[99] - 
       (89*t[100])/2 - (3*t[102])/2) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((29*t[1])/4 - (63*t[2])/16 - 
       (125*t[3])/16 - (111*t[4])/32 + (163*t[5])/16 - 3*t[6] - 
       (105*t[7])/2 + (55*t[8])/16 - (189*t[9])/8 + (4093*t[10])/64 + 
       (39*t[11])/16 - (715*t[12])/64 + (7501*t[13])/288 + (4361*t[14])/384 + 
       (1045*t[15])/64 + (7*t[16])/4 + 5*t[25] - 10*t[26] + 2*t[27] + 
       3*t[28] + t[29]/2 - (11*t[30])/2 - (11*t[31])/2 - (3*t[32])/4 + 
       (3*t[33])/4 + (3*t[34])/4 - (25*t[35])/2 - (5*t[36])/4 - 
       (19*t[37])/4 + 8*t[38] + (5*t[39])/4 + (5*t[40])/4 - (3*t[41])/8 + 
       (3*t[42])/8 + (41*t[43])/8 - (5*t[44])/2 + (25*t[45])/16 - 
       (21*t[46])/8 - (31*t[47])/8 + (99*t[48])/8 - (437*t[49])/64 - 
       (67*t[50])/8 + (1115*t[51])/128 + (37*t[52])/8 + (581*t[53])/64 + 
       (597*t[54])/32 - (3*t[58])/4 + (5*t[59])/8 + (1107*t[60])/32 + 
       (1615*t[61])/32 - (2919*t[62])/64 + (4079*t[63])/64 + 
       (2307*t[64])/64 + (5501*t[65])/96 - (3851*t[66])/96 - (21*t[68])/8 + 
       2*t[69] - (13*t[72])/2 + 13*t[73] - 2*t[74] - 7*t[75] + (65*t[76])/4 + 
       3*t[77] - (115*t[78])/8 + 25*t[79] + 10*t[80] + (33*t[81])/2 + 
       (13*t[82])/8 - (5*t[83])/2 + (1157*t[84])/32 - (573*t[85])/32 - 
       (97*t[86])/8 - (1075*t[87])/32 - (1075*t[88])/64 + (1031*t[89])/64 + 
       (9*t[90])/8 - t[91]/24 + t[93]/2 + 3*t[96] + (23*t[97])/4 + 99*t[98] - 
       108*t[99] - (89*t[100])/2 - (3*t[102])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((623*t[1])/72 + (773*t[2])/144 + (10781*t[3])/576 + (239*t[4])/96 - 
       (2477*t[5])/288 - (6025*t[6])/1152 - (959*t[7])/48 - (3805*t[8])/144 - 
       (1595*t[9])/64 - (1825*t[10])/192 + (19961*t[11])/1152 - 
       (7301*t[12])/576 + (52637*t[13])/1728 - (63265*t[14])/1728 - 
       (115319*t[15])/5184 + t[19]/2 + t[20]/2 + t[21]/2 + t[22]/2 - 
       t[23]/2 - 4*t[26] + (3*t[27])/2 - t[28] + (49*t[29])/72 - 
       (43*t[30])/144 - (119*t[31])/18 + (7*t[32])/48 - (7*t[33])/48 + 
       (143*t[34])/72 - (7*t[35])/2 - (85*t[36])/12 - (17*t[37])/6 + 
       (269*t[38])/36 - (41*t[39])/72 - (223*t[40])/72 - (31*t[43])/72 - 
       (109*t[44])/72 - (599*t[45])/144 + (11*t[46])/8 + (527*t[47])/72 - 
       (10559*t[48])/1152 - (8797*t[49])/576 + (259*t[50])/384 + 
       (12823*t[51])/1152 - (1865*t[52])/1152 + (4045*t[53])/576 - 
       (6197*t[54])/1152 - t[58]/4 - (533*t[59])/144 + (2939*t[60])/576 - 
       (81041*t[61])/576 - (34945*t[62])/1152 - (28325*t[63])/384 + 
       (279059*t[64])/1152 - (8879*t[65])/192 - (106273*t[66])/1728 - 
       (5*t[68])/8 - (7*t[69])/3 + t[70]/2 - t[71]/2 - (20*t[72])/3 + 
       18*t[73] + (97*t[74])/12 - (161*t[75])/6 + (527*t[76])/36 + 
       (41*t[77])/36 - (1987*t[78])/72 + (739*t[79])/24 + (20*t[80])/3 + 
       (101*t[81])/72 - (743*t[82])/72 + (295*t[83])/36 + (79*t[84])/192 + 
       (1145*t[85])/64 + (221*t[86])/4 + (2681*t[87])/576 + 
       (14489*t[88])/1152 + (7013*t[89])/1152 - (3*t[90])/8 - t[91]/24 - 
       (3*t[93])/2 - t[95] - (9*t[96])/2 - (49*t[97])/36 + (242*t[98])/3 - 
       (476*t[99])/3 + (581*t[100])/12 - (3*t[102])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-65*t[1])/6 - (137*t[2])/48 - (823*t[3])/192 + (421*t[4])/24 + 
       (2651*t[5])/384 + (2885*t[6])/192 - (3503*t[7])/192 - (575*t[8])/64 - 
       (5891*t[9])/384 + (1307*t[10])/48 - (441*t[11])/8 - (55*t[12])/128 - 
       (5161*t[13])/192 + (4631*t[14])/192 + (8321*t[15])/2304 + t[19]/2 - 
       t[20]/2 - t[21]/2 + (17*t[22])/24 + t[23]/2 + (5*t[25])/2 + 10*t[26] - 
       (11*t[27])/4 + (26*t[28])/3 - (5*t[29])/4 - (43*t[30])/6 + 
       (5*t[31])/6 - t[32]/4 + t[33]/4 - (3*t[34])/4 - (10*t[35])/3 - 
       (3*t[36])/4 - (5*t[37])/3 - 12*t[38] - (5*t[39])/3 - (3*t[40])/8 - 
       (7*t[41])/16 + (7*t[42])/16 + (263*t[43])/96 + (229*t[44])/24 - 
       (239*t[45])/48 - (25*t[46])/12 + (113*t[47])/24 + (533*t[48])/192 + 
       (1029*t[49])/64 - (293*t[50])/64 - (6503*t[51])/384 + (341*t[52])/64 - 
       (1349*t[53])/64 - (381*t[54])/64 + t[58] + (331*t[59])/48 + 
       (359*t[60])/16 + (373*t[61])/16 + (1497*t[62])/32 + (1565*t[63])/96 - 
       (2631*t[64])/32 + (8125*t[65])/288 + (29615*t[66])/288 + t[68] + 
       t[69]/3 + (3*t[70])/2 - (3*t[71])/2 - (11*t[72])/2 + (283*t[73])/12 + 
       (7*t[74])/6 - (253*t[75])/12 + (9*t[76])/4 + (11*t[77])/24 - 6*t[78] - 
       t[79]/2 + (43*t[80])/6 - (31*t[81])/6 - (99*t[82])/8 - (49*t[83])/2 + 
       (45*t[84])/4 + (61*t[85])/6 - (517*t[86])/12 - (67*t[87])/12 + 
       (185*t[88])/24 + (2801*t[89])/96 - t[95] - (17*t[96])/4 + 
       (3*t[97])/4 + 69*t[98] - 147*t[99] + (217*t[100])/4 - (3*t[102])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((17*t[1])/12 - (593*t[2])/48 + (55*t[3])/24 - (475*t[4])/48 - 
       (701*t[5])/192 - (6757*t[6])/576 + (299*t[7])/48 - (505*t[8])/48 - 
       (5899*t[9])/192 + (1033*t[10])/24 + (609*t[11])/64 - 
       (2567*t[12])/192 + (10159*t[13])/1728 - (2047*t[14])/96 + 
       (14333*t[15])/3456 - t[16]/12 - (2*t[18])/3 - t[19]/2 - (3*t[20])/2 - 
       (5*t[21])/2 + (27*t[22])/4 + t[23]/4 + (5*t[24])/2 - t[27]/6 - 
       (25*t[28])/6 - (169*t[29])/24 + (7*t[30])/4 + (43*t[31])/6 + 
       (11*t[32])/6 + (11*t[33])/12 - 17*t[34] + 8*t[35] + (97*t[36])/12 + 
       t[37]/2 + 4*t[38] - t[39]/12 + (23*t[40])/6 - (7*t[41])/6 + 
       (7*t[42])/9 + (25*t[43])/96 + (1007*t[44])/48 + (661*t[45])/24 + 
       (31*t[46])/24 - (235*t[47])/12 - (2051*t[48])/192 - (365*t[49])/48 + 
       (651*t[50])/64 + (307*t[51])/48 - (2929*t[52])/192 + (389*t[53])/48 - 
       (2737*t[54])/192 + t[56]/12 + (11*t[57])/6 - (359*t[59])/72 - 
       (1201*t[60])/96 + (835*t[61])/32 + (2077*t[62])/64 - (1005*t[63])/64 + 
       (2953*t[64])/192 + (2057*t[65])/96 + (4261*t[66])/288 - (3*t[68])/4 - 
       (3*t[69])/2 - 3*t[72] + 11*t[73] - t[74] + t[75] - 17*t[76] - 
       (14*t[77])/3 + (83*t[78])/3 - 13*t[79] - (41*t[80])/2 + 
       (17*t[81])/12 - (221*t[82])/24 - (47*t[83])/4 + (1289*t[84])/96 - 
       (119*t[85])/96 - (371*t[86])/8 + (1225*t[87])/32 + (1225*t[88])/64 + 
       (1407*t[89])/64 + t[90]/12 - t[91]/24 + t[93]/2 - (17*t[97])/6 - 
       120*t[98] + 111*t[99] + (515*t[100])/4 - 3*t[101] - (3*t[102])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((4*t[1])/3 - (1193*t[2])/144 + (45*t[3])/16 - (175*t[4])/24 + 
       (3421*t[5])/96 - (3113*t[6])/96 + (1477*t[7])/96 - (583*t[8])/32 - 
       (1535*t[9])/24 - (1331*t[10])/96 + (107*t[11])/24 - (2653*t[12])/96 + 
       (7567*t[13])/1728 - (19289*t[14])/288 + (739*t[15])/54 + (4*t[17])/3 + 
       t[18]/3 - 2*t[19] + 5*t[20] + 2*t[21] - (17*t[22])/2 + (5*t[23])/6 + 
       t[24]/3 + (5*t[27])/2 - (41*t[28])/6 - (7*t[29])/3 + (71*t[30])/6 + 
       (11*t[31])/3 - (19*t[32])/12 + (13*t[33])/12 - (131*t[34])/12 - 
       (9*t[35])/2 + (11*t[36])/4 + (11*t[37])/2 + (9*t[38])/2 - 
       (37*t[39])/4 + (91*t[40])/6 - (35*t[41])/24 + (23*t[42])/24 + 
       (347*t[43])/32 + (431*t[44])/48 + 15*t[45] + (115*t[46])/24 - 
       (49*t[47])/6 - (127*t[48])/16 - (409*t[49])/48 + (335*t[50])/24 + 
       (305*t[51])/48 - (251*t[52])/8 + (433*t[53])/48 - (107*t[54])/8 - 
       (3*t[56])/4 - (3*t[57])/2 - (311*t[59])/72 - (785*t[60])/16 - 
       (457*t[61])/8 + (329*t[62])/32 - (8147*t[63])/96 + (2059*t[64])/16 + 
       (407*t[65])/144 + (417*t[66])/16 + (5*t[68])/12 + t[69]/2 - t[72] + 
       13*t[73] - t[74]/2 - 12*t[75] - (103*t[76])/6 - (59*t[77])/6 + 
       (46*t[78])/3 + t[79]/2 + (299*t[80])/12 - (97*t[81])/12 + 
       (34*t[82])/3 + (71*t[83])/4 - (25*t[84])/48 - (79*t[85])/48 + 
       (1517*t[86])/24 + (1331*t[87])/24 + (441*t[88])/16 + (3091*t[89])/96 + 
       t[90]/12 - t[91]/24 + t[93]/2 - (17*t[97])/6 - 134*t[98] + 125*t[99] + 
       (547*t[100])/4 - 3*t[101] - (3*t[102])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((59*t[1])/12 + (23*t[2])/4 - (1913*t[3])/48 + (209*t[4])/24 - 
       (5221*t[5])/96 + (1627*t[6])/48 + (995*t[7])/16 + (3013*t[8])/48 + 
       (4303*t[9])/32 - (529*t[10])/8 + (4045*t[11])/48 + (1773*t[12])/32 + 
       (58819*t[13])/864 + (6547*t[14])/72 - (9275*t[15])/576 + t[17]/2 + 
       t[18] - t[19] - t[20] + (5*t[22])/3 - 3*t[24] + 7*t[25] - 
       (11*t[26])/6 + 4*t[28] - t[30] - t[31] + (13*t[32])/6 - (13*t[33])/3 + 
       (89*t[34])/6 + 2*t[35] - t[36] - 6*t[38] + (19*t[39])/3 - 
       (79*t[40])/6 - (37*t[41])/12 + (43*t[42])/12 - (61*t[43])/6 - 
       9*t[44] - (221*t[45])/8 - (17*t[46])/2 + (817*t[47])/12 + 
       (95*t[48])/6 + (163*t[49])/48 - (7*t[50])/3 + (265*t[51])/96 + 
       (85*t[52])/6 - (139*t[53])/48 + (241*t[54])/24 + (13*t[58])/6 + 
       (9*t[59])/4 + (5701*t[60])/48 + (7177*t[61])/48 - (14449*t[62])/96 + 
       (12397*t[63])/96 + (2727*t[64])/32 + (3245*t[65])/48 - 
       (6965*t[66])/24 - t[68] - 3*t[69] - (7*t[70])/2 + (7*t[71])/2 - 
       8*t[72] + 4*t[73] - 8*t[74] - t[75] + (37*t[76])/3 + (5*t[77])/4 - 
       (83*t[78])/6 - t[79]/6 + (889*t[80])/12 + 25*t[81] - (83*t[82])/12 - 
       (193*t[83])/12 + (1867*t[84])/48 + (1399*t[85])/48 + (1697*t[86])/24 - 
       (1637*t[87])/16 - (1669*t[88])/32 + (227*t[89])/96 + (10*t[97])/3 + 
       62*t[98] - 60*t[99] - (443*t[100])/4 - t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-35*t[1])/6 + (103*t[2])/6 + (341*t[3])/12 - (349*t[4])/24 + 
       (205*t[5])/12 - (1975*t[6])/96 + (161*t[7])/12 - (851*t[8])/8 - 
       (677*t[9])/48 - (689*t[10])/16 + (637*t[11])/32 + (391*t[12])/48 + 
       (995*t[13])/108 - (2995*t[14])/144 - (103*t[15])/288 - t[18] - t[19] + 
       2*t[20] - t[21] - t[22] + t[23] + 2*t[24] + (127*t[29])/12 + 
       (65*t[30])/6 - 2*t[31] - (67*t[32])/12 + (4*t[33])/3 + (22*t[34])/3 - 
       8*t[35] + 3*t[36] + 2*t[37] - (19*t[38])/6 - (5*t[39])/6 - 
       (13*t[40])/3 - (8*t[41])/3 + (13*t[42])/6 - (7*t[43])/2 + 
       (79*t[44])/6 - (31*t[45])/2 - (3*t[46])/2 + (67*t[47])/6 - 
       (571*t[48])/32 - (137*t[49])/48 + (2131*t[50])/96 - (85*t[51])/32 - 
       (1427*t[52])/96 - (29*t[53])/16 - (1225*t[54])/32 - (79*t[59])/12 - 
       (991*t[60])/16 - (1045*t[61])/16 + (983*t[62])/32 + (5729*t[63])/32 + 
       (5957*t[64])/96 - (2653*t[65])/144 + (3227*t[66])/144 - t[68] - 
       (3*t[72])/2 - 5*t[73] - 3*t[74] - 11*t[75] + (16*t[76])/3 - 
       (37*t[77])/12 - (13*t[78])/6 + 4*t[79] - (26*t[80])/3 + (32*t[81])/3 + 
       (23*t[82])/6 + 33*t[83] - (833*t[84])/48 + (277*t[85])/16 - 12*t[86] - 
       (429*t[87])/16 - (2239*t[88])/96 - (5371*t[89])/96 + 8*t[95] - 
       5*t[96] - (31*t[97])/6 + 62*t[98] - 60*t[99] - (1291*t[100])/12 - 
       t[102]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((35*t[1])/36 + (359*t[2])/72 + (14209*t[3])/576 - (13*t[4])/16 + 
       (5441*t[5])/288 - (64001*t[6])/1152 + (523*t[7])/12 - (4475*t[8])/36 + 
       (671*t[9])/192 + (611*t[10])/96 + (8857*t[11])/1152 - (353*t[12])/18 - 
       (40337*t[13])/1728 - (106633*t[14])/3456 - (63023*t[15])/2592 - 
       8*t[19] + 5*t[20] - 2*t[22] + (2*t[23])/3 - 3*t[28] - 
       (1799*t[29])/144 - (235*t[30])/18 + (5*t[31])/18 + (89*t[32])/24 - 
       (101*t[33])/24 + (331*t[34])/72 + 10*t[35] - (101*t[36])/12 + 
       (31*t[37])/6 + (13*t[38])/36 - (227*t[39])/144 + (95*t[40])/144 - 
       (53*t[41])/12 + (53*t[42])/12 + (17*t[43])/9 + (403*t[44])/18 + 
       (49*t[45])/18 + t[46] - (25*t[47])/9 - (62695*t[48])/1152 + 
       (5135*t[49])/288 + (2601*t[50])/128 - (2903*t[51])/576 - 
       (24241*t[52])/1152 - (5615*t[53])/288 - (55921*t[54])/1152 - 
       (487*t[59])/144 + (33877*t[60])/576 - (2273*t[61])/192 - 
       (31615*t[62])/1152 + (4335*t[63])/128 - (42515*t[64])/1152 - 
       (131177*t[65])/1728 - (3905*t[66])/64 + t[68] + (31*t[69])/6 - 
       11*t[73] - (13*t[74])/4 - (58*t[75])/3 - (71*t[76])/9 - 
       (125*t[77])/36 + (121*t[78])/18 - (77*t[79])/12 + t[80]/6 + 
       (193*t[81])/72 - (109*t[82])/18 + (29*t[83])/6 + (3551*t[84])/576 + 
       (7639*t[85])/576 + (1751*t[86])/36 - (1777*t[87])/64 - 
       (1809*t[88])/128 - (36473*t[89])/1152 + t[96]/2 - t[97]/18 + 
       (251*t[98])/6 - (257*t[99])/6 - (133*t[100])/3 - t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      (-t[59]/4 - (625*t[60])/48 + (65*t[61])/4 + (4915*t[62])/192 - 
       (629*t[63])/64 - (3563*t[64])/96 - (2743*t[65])/96 - (49*t[66])/12 - 
       t[68]/2 - t[69] + t[72]/6 + (3*t[73])/2 + (27*t[74])/2 - 
       (31*t[75])/2 + (9*t[76])/4 + (5*t[77])/8 - (51*t[78])/2 - t[79]/2 + 
       (37*t[80])/8 - (73*t[81])/12 + (49*t[82])/24 + (71*t[83])/6 - 
       (47*t[84])/8 - (83*t[85])/24 - (935*t[86])/48 + (59*t[87])/8 + 
       (59*t[88])/16 - (2759*t[89])/96 - t[91]/24 - t[93]/2 - t[97]/4 + 
       30*t[98] - 32*t[99] - 43*t[100] - t[102]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((769*t[1])/72 + (1717*t[2])/144 + (20453*t[3])/576 - (8699*t[4])/288 + 
       (14537*t[5])/384 + (49*t[6])/96 + (16841*t[7])/576 - 
       (21173*t[8])/576 - (65387*t[9])/1152 - (16085*t[10])/192 - 
       (29279*t[11])/576 - (62587*t[12])/1152 - (102193*t[13])/2592 - 
       (52511*t[14])/1152 + (23531*t[15])/2304 + t[18]/6 + 2*t[19] - 
       5*t[21] - (157*t[22])/24 + (9*t[23])/2 - 5*t[25] + (53*t[26])/12 + 
       t[27]/18 - (19*t[28])/9 - (37*t[29])/18 + (95*t[30])/36 + 
       (4*t[31])/3 + (13*t[32])/9 + (2*t[33])/9 - (191*t[34])/36 + 
       (31*t[35])/3 - (7*t[37])/6 + (37*t[38])/18 - (23*t[39])/18 + 
       (17*t[40])/36 - (715*t[41])/144 + (703*t[42])/144 + (4009*t[43])/288 + 
       (109*t[44])/18 + (785*t[45])/144 + (41*t[46])/8 - (385*t[47])/24 + 
       (1465*t[48])/288 - (3139*t[49])/288 + (169*t[50])/32 + 
       (2543*t[51])/192 - (611*t[52])/96 + (3139*t[53])/288 + 
       (1039*t[54])/96 + (5*t[58])/12 + (1259*t[59])/144 + (617*t[60])/144 - 
       (2513*t[61])/144 + (455*t[62])/144 + (4265*t[63])/36 + 
       (14441*t[64])/96 - (3235*t[65])/864 + (40525*t[66])/864 + t[68]/2 + 
       (11*t[69])/6 + (3*t[70])/2 - (3*t[71])/2 - (5*t[72])/2 - 
       (19*t[73])/6 + (31*t[74])/6 + (26*t[75])/3 + (43*t[76])/18 - 
       (39*t[77])/8 + (160*t[78])/9 - (17*t[79])/2 + (286*t[80])/9 + 
       (29*t[81])/4 - (157*t[82])/24 - (41*t[83])/3 + (1633*t[84])/48 + 
       (925*t[85])/144 + (969*t[86])/8 - (3893*t[87])/144 - 
       (3893*t[88])/288 + (1225*t[89])/96 + (73*t[97])/18 + (181*t[98])/6 - 
       (187*t[99])/6 - (113*t[100])/3 - t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-85*t[1])/36 - (2209*t[2])/144 + (6875*t[3])/288 + (595*t[4])/36 + 
       (1837*t[5])/192 + (695*t[6])/48 - (28765*t[7])/288 + 
       (18673*t[8])/288 - (42797*t[9])/576 + (1087*t[10])/48 + 
       (5545*t[11])/288 + (12131*t[12])/576 + (111925*t[13])/2592 - 
       (3841*t[14])/144 - (88123*t[15])/3456 + t[18] - 3*t[19] + 3*t[20] + 
       3*t[21] - (41*t[22])/12 - 4*t[23] + 2*t[25] + t[26] + (7*t[27])/9 + 
       (58*t[28])/9 - (829*t[29])/36 + (91*t[30])/36 + (17*t[31])/3 - 
       (229*t[32])/9 + (493*t[33])/36 + (35*t[34])/9 - (47*t[35])/6 - t[36] - 
       (5*t[37])/6 - (131*t[38])/36 + (187*t[39])/36 - (419*t[40])/36 - 
       (103*t[41])/72 + (139*t[42])/72 - (325*t[43])/72 - (109*t[44])/18 + 
       (323*t[45])/72 - (21*t[46])/8 - (43*t[47])/12 + (413*t[48])/72 + 
       (3505*t[49])/288 - (1219*t[50])/24 - (99*t[51])/64 + (1447*t[52])/24 - 
       (3985*t[53])/288 - (113*t[54])/48 + t[58] + (31*t[59])/24 + 
       (6697*t[60])/144 - (469*t[61])/144 - (4201*t[62])/288 - 
       (26341*t[63])/288 + (13007*t[64])/96 - (4921*t[65])/432 - 
       (71081*t[66])/432 - t[68] - (5*t[69])/6 - 3*t[70] + 3*t[71] - t[72] + 
       (161*t[73])/12 - (20*t[74])/3 - (41*t[75])/12 + (65*t[76])/18 + 
       (7*t[77])/12 - (125*t[78])/18 - 8*t[79] - (277*t[80])/36 + 
       (545*t[81])/24 - (469*t[82])/24 - 36*t[83] + (33*t[84])/4 + 
       (3797*t[85])/144 + (46*t[86])/3 - (8965*t[87])/144 - 
       (11245*t[88])/288 + (623*t[89])/96 + 8*t[95] + t[96] - (5*t[97])/9 + 
       (827*t[98])/6 - (1007*t[99])/6 - (389*t[100])/12 - t[102]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-73*t[1])/72 + (337*t[2])/18 + (1673*t[3])/36 + (411*t[4])/16 - 
       (4651*t[5])/144 - (2879*t[6])/144 + (287*t[7])/48 - (3931*t[8])/36 + 
       (2089*t[9])/48 - (1871*t[10])/32 - (1397*t[11])/144 + 
       (10463*t[12])/288 + (187*t[13])/48 - (167173*t[14])/1728 - 
       (36163*t[15])/648 + (17*t[18])/6 + 4*t[19] - 3*t[20] - t[21] - 
       (25*t[22])/2 + (5*t[23])/6 + 6*t[24] - 2*t[25] + (5*t[26])/12 - 
       2*t[27] + t[28] + (1775*t[29])/144 + (95*t[30])/144 - (53*t[31])/18 - 
       (61*t[32])/48 - (59*t[33])/48 + (301*t[34])/36 + 10*t[35] + 
       (5*t[36])/12 - t[37]/6 + t[38]/18 + (389*t[39])/144 - 
       (929*t[40])/144 + (85*t[41])/24 - (47*t[42])/24 - (721*t[43])/72 + 
       (109*t[44])/36 - (551*t[45])/36 + (1873*t[47])/36 + (1769*t[48])/144 - 
       (1265*t[49])/288 + (299*t[50])/16 + (3785*t[51])/576 - 
       (2263*t[52])/144 + (113*t[53])/288 - (835*t[54])/144 + (17*t[58])/12 - 
       (20*t[59])/9 - (8317*t[60])/144 + (2327*t[61])/72 + (3167*t[62])/288 + 
       (16793*t[63])/96 + (10385*t[64])/288 + (2827*t[65])/18 + 
       (13247*t[66])/432 - t[68]/2 - (7*t[69])/6 - 3*t[70] + 3*t[71] - 
       3*t[72] + 14*t[73] - 11*t[74] + (22*t[75])/3 + (319*t[76])/18 - 
       (61*t[77])/9 + (215*t[78])/18 + 22*t[79] - (643*t[80])/12 - 
       (31*t[81])/18 + (175*t[82])/18 - (302*t[83])/9 + (223*t[84])/12 - 
       (31*t[85])/3 - (2165*t[86])/24 + (1433*t[87])/144 + (1145*t[88])/288 + 
       (12161*t[89])/288 - 3*t[96] - (13*t[97])/9 + (757*t[98])/6 - 
       (937*t[99])/6 - (271*t[100])/12 - t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((13*t[1])/6 - (65*t[2])/6 - (47*t[3])/48 - (847*t[4])/24 + 
       (1369*t[5])/32 - (37*t[6])/4 - (377*t[7])/48 + (929*t[8])/48 - 
       (7867*t[9])/96 + (815*t[10])/16 + (17*t[11])/48 - (1175*t[12])/96 + 
       (1919*t[13])/432 - (1007*t[14])/32 + (6959*t[15])/192 + t[18]/3 + 
       (3*t[22])/2 + (10*t[27])/3 - (17*t[28])/3 - (10*t[29])/3 + 
       (19*t[30])/3 + 9*t[31] - (10*t[32])/3 + (10*t[33])/3 - (40*t[34])/3 - 
       6*t[35] + t[37] + (10*t[38])/3 - (20*t[39])/3 + (25*t[40])/3 + 
       (19*t[41])/12 - (19*t[42])/12 + (19*t[43])/3 + (28*t[44])/3 + 
       (85*t[45])/12 + (17*t[46])/2 - (17*t[47])/2 - (211*t[48])/24 - 
       (47*t[49])/6 - (25*t[50])/8 + (33*t[51])/8 - (55*t[52])/8 + 
       (47*t[53])/6 - (15*t[54])/8 - (7*t[59])/2 - (259*t[60])/48 - 
       (107*t[61])/6 + (557*t[62])/64 - (26555*t[63])/192 + (1013*t[64])/96 + 
       (5779*t[65])/288 - (2615*t[66])/36 + t[68]/2 - t[69] + (23*t[72])/6 + 
       16*t[73] + 5*t[74] - (35*t[75])/2 + (13*t[76])/12 - (57*t[77])/8 - 
       (35*t[78])/6 - (9*t[79])/2 + (619*t[80])/24 + (13*t[81])/12 - 
       (49*t[82])/24 + (47*t[83])/12 - (91*t[84])/8 - (19*t[85])/8 + 
       (341*t[86])/48 + (391*t[87])/24 + (391*t[88])/48 + (329*t[89])/96 - 
       t[91]/24 + t[93]/2 - (41*t[97])/12 - 52*t[98] + 51*t[99] + 10*t[100] - 
       t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2*((5*t[1])/3 - (125*t[2])/12 + (313*t[3])/48 - 
       (11*t[4])/2 - (643*t[5])/24 - (2663*t[6])/96 + 63*t[7] - 
       (215*t[8])/12 + (189*t[9])/16 - (47*t[10])/2 + (1495*t[11])/96 - 
       (107*t[12])/24 - (287*t[13])/48 - (6385*t[14])/288 - (721*t[15])/432 - 
       9*t[28] - (47*t[29])/12 + (47*t[30])/6 + (7*t[31])/3 + 9*t[32] - 
       9*t[33] - (47*t[34])/6 + 7*t[35] + 11*t[36] + t[37] + (10*t[38])/3 + 
       (4*t[39])/3 + (11*t[40])/3 + t[41]/2 - t[42]/2 + (14*t[43])/3 + 
       (115*t[44])/6 + (35*t[45])/3 - t[46]/2 - (22*t[47])/3 - 
       (721*t[48])/96 - (179*t[49])/12 + (861*t[50])/32 + (115*t[51])/12 - 
       (3223*t[52])/96 + (179*t[53])/12 - (727*t[54])/96 - (25*t[59])/12 - 
       (27*t[60])/4 + (407*t[61])/16 - (529*t[62])/64 + (2327*t[63])/192 - 
       (49*t[64])/48 + (4249*t[65])/288 + (2675*t[66])/144 - t[68]/2 - 
       (4*t[72])/3 + 7*t[73] - 4*t[74] + 6*t[75] - (155*t[76])/12 - 
       (163*t[77])/24 + (113*t[78])/3 - (65*t[79])/4 + (25*t[80])/8 - 
       (29*t[81])/12 - (29*t[82])/8 + 5*t[83] + (85*t[84])/48 - 
       (107*t[85])/48 + (793*t[86])/48 + (1861*t[87])/48 + (1861*t[88])/96 + 
       (43*t[89])/24 - t[91]/24 + t[93]/2 - (29*t[97])/12 - 52*t[98] + 
       51*t[99] + 11*t[100] - t[102]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*(t[59]/4 - (13*t[60])/24 + (79*t[61])/4 - 
       (263*t[62])/16 - (349*t[63])/48 - (13*t[64])/3 + (97*t[65])/9 - 
       (1385*t[66])/72 - 2*t[69] - (5*t[72])/12 + (15*t[73])/2 - t[74]/2 + 
       t[75] + 3*t[76] + t[77]/2 + (3*t[78])/4 + t[79] + 2*t[80] + 
       (25*t[81])/12 - (23*t[82])/12 - (25*t[83])/6 - (5*t[84])/24 - 
       (43*t[85])/12 + t[86] + (167*t[87])/24 + (167*t[88])/48 + 
       (347*t[89])/48 + (3*t[96])/2 + t[97] + t[98]/2 + (3*t[99])/2 - 
       (113*t[100])/4 + t[102]/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]^2*((-13*t[59])/16 - (245*t[60])/64 - 
       (355*t[61])/192 + (997*t[62])/192 - (93*t[63])/64 - (1207*t[64])/128 + 
       (397*t[65])/18 + (10915*t[66])/576 + t[68]/4 + t[69]/2 + (5*t[72])/4 - 
       (11*t[73])/4 + t[74]/2 + (13*t[75])/2 - (9*t[76])/4 - (7*t[77])/16 + 
       (39*t[78])/4 - 3*t[79] + (75*t[80])/16 - (21*t[81])/8 + 
       (45*t[82])/16 - (85*t[83])/12 - (251*t[84])/192 - (667*t[85])/192 - 
       (109*t[86])/96 + (1339*t[87])/192 + (1339*t[88])/384 + 
       (37*t[89])/128 - (3*t[97])/4 + t[98]/2 + (3*t[99])/2 - 
       (111*t[100])/4 + t[102]/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]^2*((3*t[2])/4 + (115*t[3])/16 + (3*t[4])/4 + 
       (47*t[5])/8 - (7*t[6])/32 - (19*t[7])/4 + (35*t[8])/4 - 
       (123*t[9])/16 + (9*t[10])/4 - (225*t[11])/32 - (19*t[12])/4 - 
       (29*t[13])/4 - (177*t[14])/32 - (427*t[15])/144 - (3*t[19])/2 + 
       (7*t[29])/2 - (19*t[30])/4 - t[32]/4 + t[33]/4 - (3*t[34])/2 - 
       (5*t[36])/2 + (3*t[37])/2 - (3*t[41])/4 + (3*t[42])/4 - (5*t[44])/2 + 
       t[46]/4 + (31*t[48])/32 + (15*t[49])/4 - (81*t[50])/32 - 
       (27*t[51])/16 + (81*t[52])/32 - (15*t[53])/4 + t[54]/32 + 
       (3*t[59])/16 - (1363*t[60])/192 - (1607*t[61])/192 - 
       (1057*t[62])/192 - (5657*t[63])/192 + (3167*t[64])/384 - 
       (59*t[65])/4 + (61*t[66])/192 + t[68]/4 + (5*t[69])/4 + t[72]/6 - 
       (13*t[73])/4 - (23*t[75])/4 - (17*t[76])/4 - (7*t[77])/16 - 
       (35*t[78])/4 - (21*t[79])/8 - (69*t[80])/16 - (17*t[81])/6 + 
       (89*t[82])/48 + (97*t[83])/8 - (497*t[84])/64 + (185*t[85])/192 + 
       (2011*t[86])/96 + (223*t[87])/192 + (223*t[88])/384 - 
       (2245*t[89])/384 - t[97]/4 - (3*t[98])/2 + 2*t[99] + (105*t[100])/4 + 
       t[102]/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
      ((7*t[2])/4 + (45*t[3])/16 - (25*t[4])/8 - (125*t[5])/32 - 
       (27*t[6])/8 - (67*t[7])/16 - t[8]/16 - (119*t[9])/32 + (73*t[10])/16 - 
       (217*t[11])/16 - (19*t[12])/32 - (1619*t[13])/144 + (107*t[14])/96 - 
       (53*t[15])/64 - t[22] + t[30] + 2*t[35] - t[41]/4 + t[42]/4 - 
       (7*t[43])/8 + (21*t[45])/4 - t[46] - (21*t[47])/2 + t[48] + t[49]/8 - 
       t[50] + (19*t[51])/16 + t[52] - t[53]/8 + (13*t[54])/4 - 
       (53*t[60])/24 - t[61]/4 + (97*t[62])/8 + (7*t[63])/12 - 
       (385*t[64])/24 - (35*t[65])/72 + (2129*t[66])/72 - (13*t[72])/12 - 
       6*t[73] + t[74]/2 - 3*t[75] + t[76] + 2*t[77] - t[78]/4 - 15*t[80] + 
       (11*t[81])/12 - (55*t[82])/12 + (50*t[83])/3 - (19*t[84])/24 + 
       (7*t[85])/3 - 6*t[86] - (23*t[87])/24 - (23*t[88])/48 - 
       (173*t[89])/48 - (3*t[98])/2 + 2*t[99] + (107*t[100])/4 + t[102]/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2*
      ((-25*t[1])/18 - (185*t[2])/144 - (3931*t[3])/576 + (4573*t[4])/288 - 
       (5935*t[5])/384 + (247*t[6])/32 - (2179*t[7])/576 + (3559*t[8])/576 + 
       (31381*t[9])/1152 + (23*t[10])/192 + (5173*t[11])/576 + 
       (13229*t[12])/1152 + (5501*t[13])/648 + (7801*t[14])/1152 - 
       (24325*t[15])/2304 - t[19]/2 + t[21]/2 + (43*t[22])/24 - t[23]/2 - 
       (11*t[27])/18 + (11*t[28])/9 + (11*t[29])/18 - (37*t[30])/36 - 
       (8*t[31])/3 + t[32]/9 - (11*t[33])/18 + (22*t[34])/9 - (8*t[35])/3 + 
       t[37]/3 - (11*t[38])/18 + (11*t[39])/9 - (55*t[40])/36 + 
       (35*t[41])/144 - (35*t[42])/144 - (1793*t[43])/288 - (37*t[44])/9 - 
       (1153*t[45])/144 - (23*t[46])/8 + (143*t[47])/8 + (259*t[48])/288 + 
       (305*t[49])/288 + (137*t[50])/96 - (191*t[51])/64 + (13*t[52])/32 - 
       (305*t[53])/288 - (77*t[54])/32 - (11*t[59])/6 + (2399*t[60])/576 - 
       (8225*t[61])/576 + (4589*t[62])/576 - (5791*t[63])/576 - 
       (21301*t[64])/384 + (10709*t[65])/864 + (57059*t[66])/1728 - t[68]/4 - 
       (13*t[69])/6 - (7*t[72])/4 - (11*t[73])/12 - t[74]/3 + (5*t[75])/3 - 
       t[76]/9 + (37*t[77])/48 - (35*t[78])/36 + 4*t[79] - (1253*t[80])/144 - 
       2*t[81] + (21*t[82])/16 - (85*t[83])/24 - (1895*t[84])/192 - 
       (2825*t[85])/576 - (2245*t[86])/96 + (3265*t[87])/576 + 
       (3265*t[88])/1152 + (5*t[89])/128 - (13*t[97])/9 - (16*t[98])/3 + 
       (10*t[99])/3 + (97*t[100])/3 + t[102]/4) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      ((-11*t[1])/18 + (107*t[2])/72 - (8783*t[3])/576 + (221*t[4])/48 - 
       (637*t[5])/288 + (22459*t[6])/1152 - (57*t[7])/2 + (1279*t[8])/36 - 
       (387*t[9])/64 + (395*t[10])/96 - (10835*t[11])/1152 + 
       (323*t[12])/144 + (12575*t[13])/1728 + (51323*t[14])/3456 + 
       (18967*t[15])/2592 + 2*t[19] - t[20]/2 + t[22]/2 + 3*t[28] + 
       (61*t[29])/144 + (163*t[30])/36 - (5*t[31])/9 - (77*t[32])/24 + 
       (77*t[33])/24 + (151*t[34])/72 - 3*t[35] - (17*t[36])/12 - 
       (4*t[37])/3 - (5*t[38])/9 - (71*t[39])/144 - (49*t[40])/144 + t[41] - 
       t[42] - (16*t[43])/9 - (677*t[44])/72 - (35*t[45])/18 - t[46]/2 + 
       (25*t[47])/18 + (15149*t[48])/1152 - (277*t[49])/288 - 
       (4169*t[50])/384 - (179*t[51])/576 + (13787*t[52])/1152 + 
       (277*t[53])/288 + (17195*t[54])/1152 + (17*t[59])/144 - 
       (1367*t[60])/576 - (3637*t[61])/192 + (31421*t[62])/1152 + 
       (803*t[63])/128 - (3023*t[64])/1152 + (22915*t[65])/1728 + 
       (12907*t[66])/576 + t[69]/6 - (13*t[72])/12 + t[73]/2 + (9*t[74])/4 + 
       (29*t[75])/3 + (11*t[76])/18 + (25*t[77])/9 + (215*t[78])/36 + 
       (13*t[79])/12 - (25*t[80])/6 + (163*t[81])/72 + (61*t[82])/36 - 
       (21*t[83])/2 + (971*t[84])/576 - (293*t[85])/576 - (1207*t[86])/36 - 
       (319*t[87])/192 - (319*t[88])/384 + (14467*t[89])/1152 - (3*t[96])/2 - 
       (13*t[97])/18 - (23*t[98])/3 + (17*t[99])/3 + (101*t[100])/3 + 
       t[102]/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(t[1]/6 + t[2]/12 + (73*t[3])/48 - t[4]/8 - 
       (67*t[5])/24 - (185*t[6])/96 + (25*t[7])/2 + t[8]/12 + (71*t[9])/16 - 
       (81*t[10])/16 + (277*t[11])/96 - (49*t[12])/48 - (43*t[13])/72 - 
       (29*t[14])/36 - (343*t[15])/432 - t[28] - t[29]/6 + (7*t[30])/12 + 
       t[31]/3 + (5*t[32])/4 - (5*t[33])/4 - (5*t[34])/6 + t[35] + t[36] + 
       t[38]/3 + t[39]/12 + (5*t[40])/12 + (2*t[43])/3 + (13*t[44])/6 + 
       (7*t[45])/6 - (5*t[47])/6 - (139*t[48])/96 - (53*t[49])/48 + 
       (103*t[50])/32 + (77*t[51])/96 - (373*t[52])/96 + (53*t[53])/48 - 
       (49*t[54])/96 - (5*t[59])/24 + (1061*t[60])/288 + (717*t[61])/32 - 
       (557*t[62])/96 - (647*t[63])/288 + (1643*t[64])/576 + 
       (2983*t[65])/108 + (427*t[66])/864 + (3*t[68])/4 + t[69]/6 + 
       (23*t[72])/18 - (17*t[73])/2 - t[74] + (15*t[75])/2 - (20*t[76])/3 + 
       (23*t[77])/24 + (27*t[78])/2 - (27*t[79])/4 + (59*t[80])/8 - 
       (26*t[81])/9 + (377*t[82])/72 - (247*t[83])/18 + (877*t[84])/288 + 
       (709*t[85])/288 - (113*t[86])/48 + (4031*t[87])/288 + 
       (4031*t[88])/576 + (8339*t[89])/576 - t[97]/6 + 19*t[98] - 22*t[99] - 
       (107*t[100])/3 + t[102]/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((5*t[1])/12 - (5*t[2])/6 - 
       (23*t[3])/48 - (53*t[4])/12 + (105*t[5])/32 - (29*t[6])/16 + t[7]/48 + 
       (71*t[8])/48 - (847*t[9])/96 + (49*t[10])/8 - t[11]/3 - 
       (245*t[12])/96 - (41*t[13])/216 - (49*t[14])/24 + (1091*t[15])/192 + 
       t[22]/2 + t[27]/3 - (2*t[28])/3 - t[29]/3 + (4*t[30])/3 + t[31] - 
       t[32]/3 + t[33]/3 - (4*t[34])/3 + t[38]/3 - (2*t[39])/3 + 
       (5*t[40])/6 + t[41]/12 - t[42]/12 + (13*t[43])/12 + (4*t[44])/3 + 
       (19*t[45])/12 + t[46] - 3*t[47] - (71*t[48])/48 - (31*t[49])/48 + 
       (3*t[50])/16 + (25*t[51])/32 - (19*t[52])/16 + (31*t[53])/48 - 
       (5*t[54])/16 - (9*t[59])/8 + (155*t[60])/16 - (947*t[61])/48 - 
       (203*t[62])/96 - (999*t[63])/32 + (2327*t[64])/96 - (1609*t[65])/144 - 
       (989*t[66])/48 - (11*t[69])/3 - (5*t[72])/3 + (47*t[73])/6 + 
       (3*t[74])/2 - (20*t[75])/3 + (22*t[76])/3 - t[77]/2 - (161*t[78])/12 + 
       (3*t[79])/2 + (115*t[80])/6 - (23*t[81])/6 - (49*t[82])/6 + 
       (19*t[83])/6 - (16*t[84])/3 + (23*t[85])/12 + (203*t[86])/12 - 
       (31*t[87])/6 - (31*t[88])/12 + (77*t[89])/96 + (3*t[96])/4 - t[97]/6 + 
       19*t[98] - 22*t[99] - (107*t[100])/3 + t[102]/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (t[1]/6 - (17*t[2])/12 - (109*t[3])/24 + (11*t[4])/2 - (47*t[5])/12 + 
       (8*t[6])/3 - (43*t[7])/4 + (47*t[8])/6 - (13*t[9])/2 + 3*t[10] - 
       (25*t[11])/12 - (25*t[12])/12 + (127*t[13])/72 + (41*t[14])/18 + 
       (1337*t[15])/432 + t[28] + (4*t[29])/3 + t[30]/3 + t[31]/3 - t[32] + 
       t[33] - (4*t[34])/3 - t[35] - t[36] + t[38]/3 + t[39]/12 + 
       (5*t[40])/12 - t[43]/3 - (4*t[44])/3 + (7*t[45])/6 - (5*t[47])/6 + 
       (43*t[48])/12 - t[49]/6 - (3*t[50])/4 + t[51]/3 + t[52]/12 + t[53]/6 + 
       (17*t[54])/6 + (11*t[59])/12 + (47*t[60])/12 + (11*t[61])/2 + 
       (707*t[62])/24 + (145*t[63])/24 - (847*t[64])/24 + (1223*t[65])/36 + 
       (128*t[66])/9 + t[69] - (13*t[72])/6 - t[73] + 4*t[74] + 14*t[75] - 
       (13*t[76])/6 + (5*t[77])/6 + (85*t[78])/6 - 2*t[79] - 3*t[80] + 
       (11*t[81])/2 - (29*t[82])/6 - (56*t[83])/3 + (79*t[84])/12 - 
       (13*t[85])/4 - (52*t[86])/3 - (38*t[87])/3 - (19*t[88])/3 + 
       (89*t[89])/24 - t[97]/6 - 31*t[98] + 31*t[99] + (85*t[100])/6 + 
       t[102]/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*(t[1]/6 - t[2]/3 - (5*t[3])/12 + (49*t[4])/12 + 
       (11*t[5])/2 + (7*t[6])/4 - (163*t[7])/24 + (121*t[8])/24 - 
       (43*t[9])/6 + (23*t[10])/8 + (13*t[11])/24 + (2*t[12])/3 + 
       (1781*t[13])/432 - (9*t[14])/2 + (11*t[15])/48 + t[27]/3 - 
       (2*t[28])/3 - t[29]/3 + t[30]/3 - t[31] - t[32]/3 + t[33]/3 - 
       (4*t[34])/3 - 2*t[35] + t[38]/3 - (2*t[39])/3 + (5*t[40])/6 + 
       t[41]/3 - t[42]/3 - (25*t[43])/24 - (2*t[44])/3 - (7*t[45])/6 - 
       t[46] + (9*t[47])/2 - t[48]/24 - t[49]/12 + (5*t[50])/8 + 
       (5*t[51])/8 - (13*t[52])/8 + t[53]/12 - (17*t[54])/8 - (11*t[59])/8 - 
       (1327*t[60])/96 + (1669*t[61])/96 + (2303*t[62])/96 - 
       (3497*t[63])/96 - (6241*t[64])/192 + (103*t[65])/6 + 
       (10333*t[66])/288 + t[68]/2 + t[69] + (10*t[72])/3 - (11*t[73])/2 + 
       6*t[75] - (17*t[76])/3 - (3*t[77])/8 + (38*t[78])/3 - (29*t[79])/12 - 
       (83*t[80])/24 - (17*t[81])/3 + (41*t[82])/24 + t[83]/3 - 
       (665*t[84])/96 - (793*t[85])/96 - (531*t[86])/16 + (951*t[87])/32 + 
       (951*t[88])/64 + (213*t[89])/64 - (13*t[97])/6 - 31*t[98] + 31*t[99] + 
       16*t[100] + t[102]/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((29*t[1])/72 - (407*t[2])/72 - 
       (2425*t[3])/144 + (1117*t[4])/48 - (7187*t[5])/288 + (2477*t[6])/288 + 
       2*t[7] + (3401*t[8])/144 + (1065*t[9])/32 + (1207*t[10])/96 + 
       (2993*t[11])/288 + (1915*t[12])/144 + (193*t[13])/108 + 
       (57929*t[14])/1728 - (43535*t[15])/5184 - 2*t[19] + 2*t[20] + 
       (3*t[21])/2 - (5*t[22])/2 - (3*t[23])/2 + t[25]/2 + t[26]/4 + t[28] - 
       (661*t[29])/144 - (109*t[30])/144 - (47*t[31])/18 + (43*t[32])/48 - 
       (31*t[33])/48 + (97*t[34])/36 - 6*t[35] - (7*t[36])/12 + 
       (11*t[37])/6 - (11*t[38])/18 + (209*t[39])/144 - (341*t[40])/144 - 
       t[41]/8 + t[42]/8 - (463*t[43])/72 - (409*t[44])/72 + (11*t[45])/18 - 
       3*t[46] - (17*t[47])/36 + (1207*t[48])/288 + (913*t[49])/288 - 
       (535*t[50])/96 - (2041*t[51])/576 + (2029*t[52])/288 - 
       (337*t[53])/288 + (853*t[54])/288 + t[58]/4 + (53*t[59])/72 + 
       (2543*t[60])/96 + (4955*t[61])/288 - (763*t[62])/288 - 
       (12701*t[63])/288 - (4241*t[64])/64 - (4163*t[65])/432 + 
       (7367*t[66])/864 + t[68]/4 - (5*t[69])/6 + (5*t[72])/18 - 
       (35*t[73])/6 - t[74]/2 + (3*t[75])/2 - (77*t[76])/18 + 
       (283*t[77])/72 - (53*t[78])/9 + t[79] - (485*t[80])/24 - (7*t[81])/9 + 
       (23*t[82])/8 + (293*t[83])/36 - (1685*t[84])/288 - (1169*t[85])/288 - 
       (781*t[86])/48 - (1019*t[87])/96 - (827*t[88])/192 - 
       (1135*t[89])/192 + (3*t[96])/2 + (5*t[97])/9 - (161*t[98])/6 + 
       (263*t[99])/6 + (257*t[100])/12 + t[102]/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-17*t[1])/18 + (587*t[2])/144 + (1121*t[3])/288 - (145*t[4])/72 + 
       (2393*t[5])/192 + (407*t[6])/32 - (15199*t[7])/288 + (7579*t[8])/288 - 
       (18113*t[9])/576 - (299*t[10])/48 - (4381*t[11])/144 - 
       (3805*t[12])/576 - (10393*t[13])/1296 - (1865*t[14])/144 + 
       (3383*t[15])/1152 + 2*t[19] - (3*t[20])/2 - 2*t[21] + (19*t[22])/12 + 
       2*t[23] - t[25] - t[26]/2 - (5*t[27])/9 + (28*t[28])/9 + 
       (145*t[29])/18 - (113*t[30])/36 - (7*t[31])/3 - (133*t[32])/36 + 
       (133*t[33])/36 + (13*t[34])/18 + (7*t[35])/6 - 2*t[36] - (4*t[37])/3 + 
       (7*t[38])/36 - (23*t[39])/36 + (10*t[40])/9 + (47*t[41])/72 - 
       (47*t[42])/72 - (167*t[43])/144 - (199*t[44])/18 - (65*t[45])/9 - 
       (11*t[46])/8 + 8*t[47] + (4373*t[48])/288 - (185*t[49])/288 - 
       (1169*t[50])/96 - (77*t[51])/64 + (379*t[52])/32 - (103*t[53])/288 + 
       (477*t[54])/32 - t[58]/2 - (2*t[59])/3 - (2521*t[60])/48 - 
       (4501*t[61])/144 + (18431*t[62])/288 + (17779*t[63])/288 + 
       (2975*t[64])/288 + (15163*t[65])/432 + (34967*t[66])/432 + 
       (29*t[69])/6 + (5*t[72])/9 - (23*t[73])/4 + (23*t[74])/6 + 
       (155*t[75])/12 - (14*t[76])/9 + (11*t[77])/12 + (233*t[78])/36 + 
       (11*t[79])/2 - (205*t[80])/36 - (473*t[81])/72 + (703*t[82])/72 - 
       t[83]/9 - (1583*t[84])/144 - (335*t[85])/24 - (565*t[86])/12 + 
       (269*t[87])/18 + (269*t[88])/36 + (227*t[89])/288 - (9*t[96])/4 - 
       (31*t[97])/18 - (175*t[98])/6 + (277*t[99])/6 + (295*t[100])/12 + 
       t[102]/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 
       1 - w]*((-7*t[1])/4 - (99*t[2])/8 - (19*t[3])/16 + (1391*t[4])/24 + 
       (61*t[5])/2 + (823*t[6])/32 + (87*t[7])/16 - (23*t[8])/16 + 
       (101*t[9])/8 + (2941*t[10])/48 + (6509*t[11])/96 - (541*t[12])/24 + 
       (1569*t[13])/32 + (6031*t[14])/144 + (1261*t[15])/96 + (3*t[17])/2 - 
       (17*t[19])/9 + 19*t[20] - 10*t[21] - 15*t[22] + 10*t[23] - 4*t[24] + 
       2*t[26] - 7*t[27] - t[28] - (15*t[29])/4 - (5*t[30])/2 + 2*t[31] - 
       (13*t[32])/2 + (23*t[33])/2 - 5*t[34] + 11*t[35] - (9*t[36])/2 - 
       t[37]/2 - t[38] - (23*t[39])/2 + 4*t[40] - 7*t[41] + 7*t[42] + 
       (13*t[43])/16 - t[44]/8 + (57*t[45])/2 - (14*t[46])/3 - 36*t[47] + 
       (11*t[48])/32 + (89*t[49])/3 + (335*t[50])/32 - (341*t[51])/32 - 
       (431*t[52])/32 - (359*t[53])/12 - (2801*t[54])/96 - (3*t[56])/2 + 
       3*t[57] + (17*t[59])/4 + (5011*t[60])/48 + (3407*t[61])/16 - 
       (671*t[62])/24 + (23*t[63])/3 - (27805*t[64])/96 - (7601*t[65])/72 - 
       (3553*t[66])/16 + (5*t[68])/2 + 9*t[69] - (20*t[72])/3 + 46*t[73] + 
       39*t[74] - 90*t[75] - (73*t[76])/6 - (19*t[77])/4 - (101*t[78])/3 + 
       6*t[79] - (153*t[80])/4 + 10*t[81] - (407*t[82])/12 - (163*t[83])/6 - 
       (427*t[84])/48 - (1751*t[85])/48 - (795*t[86])/8 - (2197*t[87])/48 - 
       (2197*t[88])/96 - (5731*t[89])/96 - t[91]/3 + 2*t[93] - t[97] + 
       118*t[98] + 32*t[99] - 335*t[100] + t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((15*t[60])/4 - (41*t[61])/4 - (59*t[62])/8 + (111*t[63])/8 + 
       (55*t[64])/8 + (35*t[65])/4 - (35*t[66])/12 - 5*t[72] - 2*t[73] + 
       t[78] + t[81] - t[82] - 8*t[83] - (5*t[84])/4 - (3*t[85])/4 - 
       (15*t[87])/4 - (15*t[88])/8 + (77*t[89])/8 + 46*t[98] - 40*t[99] - 
       66*t[100] + t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - v]*((7*t[59])/4 + (655*t[60])/16 + 
       (413*t[61])/48 - (1049*t[62])/48 + (493*t[63])/16 - (1367*t[64])/32 - 
       (232*t[65])/9 - (5597*t[66])/144 + t[68]/2 - t[69] - 2*t[72] + 
       7*t[73] - 8*t[75] + 14*t[76] + (5*t[77])/4 - 3*t[78] + t[79]/2 - 
       (13*t[80])/4 + 5*t[81] - (21*t[82])/4 - (143*t[83])/6 + 
       (673*t[84])/48 + (29*t[85])/48 - (73*t[86])/24 - (1565*t[87])/48 - 
       (1565*t[88])/96 + (245*t[89])/32 + t[97] + 46*t[98] - 40*t[99] - 
       61*t[100] + t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - w]*((-5*t[59])/4 - (665*t[60])/16 - 
       (587*t[61])/48 + (269*t[62])/12 - (495*t[63])/8 - (71*t[64])/32 - 
       (3829*t[65])/72 - (2545*t[66])/144 - 8*t[69] + t[72] + 17*t[73] - 
       28*t[75] + 15*t[76] + (5*t[77])/4 - 17*t[78] + (5*t[79])/2 - 
       (19*t[80])/4 - (5*t[81])/2 - (15*t[82])/4 + (34*t[83])/3 - 
       (337*t[84])/48 - (257*t[85])/48 - (191*t[86])/24 + (1121*t[87])/48 + 
       (1121*t[88])/96 + (53*t[89])/32 - t[97] + 38*t[98] - 40*t[99] - 
       14*t[100] + t[102]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-439*t[60])/12 + (209*t[61])/4 - 
       (83*t[62])/8 - (331*t[63])/24 + (851*t[64])/24 - (1171*t[65])/36 - 
       (833*t[66])/36 + 10*t[69] + (17*t[72])/3 - 12*t[73] - 8*t[75] - 
       2*t[77] - 3*t[78] + t[79] + 4*t[80] - (16*t[81])/3 + (26*t[82])/3 + 
       (41*t[83])/3 - (131*t[84])/12 - (119*t[85])/12 + 11*t[86] + 
       (329*t[87])/12 + (329*t[88])/24 - (535*t[89])/24 + 38*t[98] - 
       40*t[99] - 9*t[100] + t[102]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*((121*t[60])/12 - (23*t[61])/4 + 
       (105*t[62])/8 - (1919*t[63])/24 - (725*t[64])/24 - (1787*t[65])/36 - 
       (553*t[66])/36 - 10*t[69] + t[72]/3 + 6*t[73] - 24*t[75] + 2*t[77] - 
       9*t[78] - t[79] - 4*t[80] - (8*t[81])/3 - (14*t[82])/3 + 
       (61*t[83])/3 - (67*t[84])/12 + (41*t[85])/12 - 11*t[86] + 
       (73*t[87])/12 + (73*t[88])/24 - (71*t[89])/24 + 38*t[98] - 40*t[99] - 
       8*t[100] + t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - u]*(-t[59]/4 - (349*t[60])/16 + (199*t[61])/16 + 
       (151*t[62])/8 - 3*t[63] + (9*t[64])/32 - (1075*t[65])/24 - 
       (3175*t[66])/48 + 8*t[69] + t[72] + 7*t[73] - 18*t[75] + 15*t[76] + 
       (5*t[77])/4 + t[78] + 3*t[79] + t[80]/4 - 5*t[81] + (11*t[82])/4 - 
       18*t[83] - (111*t[84])/16 + (37*t[85])/16 - (149*t[86])/8 + 
       (275*t[87])/16 + (275*t[88])/32 + (125*t[89])/32 - t[97] + 38*t[98] - 
       40*t[99] - 8*t[100] + t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*(t[1]/2 + (3*t[2])/2 + (59*t[3])/24 - 
       (57*t[4])/2 - (49*t[5])/48 + (31*t[6])/48 + (143*t[7])/48 + 
       (183*t[8])/16 + (49*t[9])/12 - (81*t[10])/16 - (79*t[11])/12 + 
       (421*t[12])/48 - (14905*t[13])/864 + (2377*t[14])/144 - 
       (107*t[15])/24 + t[18]/3 - (4*t[22])/3 - t[34]/3 + 4*t[35] + 
       (77*t[43])/48 + (61*t[45])/24 + t[46] - (49*t[47])/12 + (9*t[48])/4 - 
       (23*t[49])/4 - (19*t[50])/4 - (3*t[51])/8 + (19*t[52])/4 + 
       (23*t[53])/4 + (45*t[54])/4 + t[59] - (49*t[60])/12 + 35*t[61] - 
       (67*t[62])/4 + (31*t[63])/12 + (325*t[64])/12 + (37*t[65])/2 + 
       (146*t[66])/9 + (13*t[72])/3 - 27*t[73] - 53*t[75] - 16*t[76] + 
       3*t[77] - 33*t[78] + 12*t[80] + (43*t[81])/3 - (14*t[82])/3 + 
       (130*t[83])/3 + (2*t[84])/3 + (109*t[85])/6 + (31*t[86])/6 + 
       (77*t[87])/6 + (77*t[88])/12 - (47*t[89])/8 - 26*t[98] + 32*t[99] + 
       105*t[100] + t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*(-t[1] - t[2] + (389*t[3])/48 - 6*t[4] + 
       (331*t[5])/24 - (727*t[6])/48 + (43*t[7])/8 - (289*t[8])/8 - 
       (19*t[9])/4 + (19*t[10])/4 - (401*t[11])/48 - (23*t[12])/4 - 
       (611*t[13])/48 - (631*t[14])/48 - (2465*t[15])/864 - t[16] - 2*t[19] + 
       t[23]/3 - t[25] + 2*t[26] + (9*t[29])/8 - (71*t[30])/12 - t[32]/4 + 
       t[33]/4 - 2*t[34] + 2*t[36] + 2*t[37] - t[38] + (3*t[39])/2 - 
       2*t[40] - t[41] + t[42] + (227*t[44])/24 + (3*t[46])/2 - 
       (383*t[48])/48 - (3*t[49])/2 + (341*t[50])/48 - (5*t[51])/8 - 
       (341*t[52])/48 + (3*t[53])/2 - (511*t[54])/48 + t[59]/4 - 
       (557*t[60])/48 - (1273*t[61])/16 - (455*t[62])/24 - (385*t[63])/3 - 
       (20389*t[64])/96 + (2071*t[65])/72 + (79*t[66])/16 + t[68]/2 + 
       5*t[69] + (16*t[72])/3 - 40*t[73] - 5*t[74] - 20*t[75] - 
       (217*t[76])/6 + (13*t[77])/4 - (101*t[78])/3 - 2*t[79] - 
       (25*t[80])/4 - t[81] + (145*t[82])/12 + (341*t[83])/6 - 
       (1627*t[84])/48 + (697*t[85])/48 + (709*t[86])/8 + (1259*t[87])/48 + 
       (1259*t[88])/96 - (3595*t[89])/96 - t[97] - 26*t[98] + 32*t[99] + 
       105*t[100] + t[102]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2*((-265*t[1])/72 - (523*t[2])/144 - 
       (221*t[3])/288 + (1799*t[4])/96 - (6515*t[5])/288 - (6395*t[6])/576 - 
       (899*t[7])/48 - (235*t[8])/36 + (921*t[9])/16 + (7543*t[10])/192 - 
       (25697*t[11])/576 + (3043*t[12])/576 - (12511*t[13])/864 + 
       (61711*t[14])/3456 - (73915*t[15])/2592 + t[16]/6 + t[17]/3 - 
       t[18]/3 - 2*t[20] - t[21]/3 - (17*t[22])/3 + t[23]/3 - (4*t[24])/3 - 
       (13*t[25])/2 - t[26]/6 + (5*t[27])/6 + (4*t[28])/3 + (511*t[29])/72 - 
       (34*t[30])/9 - (59*t[31])/18 - (35*t[32])/6 + (7*t[33])/2 + 
       (439*t[34])/36 + 4*t[35] - (19*t[36])/4 - t[37]/6 - (25*t[38])/9 - 
       (365*t[39])/72 + (209*t[40])/72 - (5*t[41])/12 + t[42]/4 - 
       (233*t[43])/36 - (587*t[44])/36 - (1865*t[45])/144 - (169*t[46])/24 + 
       (1367*t[47])/72 + (167*t[48])/576 + (11639*t[49])/576 - 
       (3371*t[50])/192 - (4097*t[51])/1152 + (9089*t[52])/576 - 
       (11783*t[53])/576 + (7091*t[54])/576 - t[56]/6 - (2*t[57])/3 - 
       t[58]/6 + (191*t[59])/72 + (2311*t[60])/72 - (1709*t[61])/48 - 
       (10999*t[62])/144 + (3415*t[63])/48 - (23137*t[64])/288 - 
       (6671*t[65])/216 - (103*t[66])/4 - t[67]/6 + (5*t[68])/6 + t[69]/3 + 
       (2*t[70])/3 - (2*t[71])/3 + (25*t[72])/2 - 18*t[73] - (61*t[74])/3 + 
       (101*t[75])/6 + (455*t[76])/36 + (32*t[77])/9 - (317*t[78])/36 + 
       (77*t[79])/12 - (229*t[80])/12 + (409*t[81])/36 + (431*t[82])/36 + 
       (67*t[83])/6 - (961*t[84])/72 + (851*t[85])/36 + (1475*t[86])/72 - 
       (995*t[87])/16 - (995*t[88])/32 - (283*t[89])/18 + t[91]/24 - 
       t[92]/6 + t[93]/2 + t[94]/6 + (29*t[97])/9 + (314*t[98])/3 - 
       (329*t[99])/3 - (62*t[100])/3 + (3*t[102])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((31*t[1])/24 - (521*t[2])/48 + (209*t[3])/48 - (2629*t[4])/96 + 
       (4355*t[5])/192 - (313*t[6])/48 + (1309*t[7])/32 + (861*t[8])/32 + 
       (1231*t[9])/64 - (2629*t[10])/192 + (1477*t[11])/48 + 
       (2863*t[12])/96 + (11707*t[13])/1728 + (9719*t[14])/384 - 
       (4169*t[15])/3456 - t[17]/6 - (3*t[20])/2 - (7*t[24])/6 + t[26] - 
       (8*t[27])/3 + t[28]/2 - (15*t[29])/8 - (23*t[30])/6 - t[31]/3 + 
       (65*t[32])/12 - (77*t[33])/12 + (5*t[34])/12 + 10*t[35] + 
       (29*t[36])/4 + t[37] - (4*t[38])/3 + (19*t[39])/4 - (31*t[40])/8 + 
       (17*t[41])/12 - (17*t[42])/12 + (91*t[43])/48 + t[44]/8 - 
       (235*t[45])/24 - (95*t[46])/24 + (101*t[47])/6 + (233*t[48])/96 + 
       (599*t[49])/192 - (1217*t[50])/96 + (313*t[51])/384 + 
       (1457*t[52])/96 + (553*t[53])/192 - (283*t[54])/48 + t[55]/6 + 
       (7*t[59])/2 - (493*t[60])/96 + (461*t[61])/32 - (4923*t[62])/64 - 
       (2327*t[63])/192 + (13639*t[64])/192 - (791*t[65])/288 - 
       (861*t[66])/32 + t[68]/3 - t[69] + t[70]/3 - t[71]/3 + 4*t[72] - 
       13*t[73] - 7*t[74] + (29*t[75])/2 + (175*t[76])/12 - (5*t[77])/4 - 
       (52*t[78])/3 - (27*t[79])/4 + (167*t[80])/6 - 8*t[81] + 
       (65*t[82])/12 - (79*t[83])/4 - (2197*t[84])/96 - (607*t[85])/32 + 
       (631*t[86])/12 + (223*t[87])/96 + (69*t[88])/64 - (1039*t[89])/192 + 
       (16*t[95])/3 + (26*t[96])/3 + (79*t[97])/12 + 88*t[98] - 99*t[99] + 
       7*t[100] + (3*t[102])/2) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*((283*t[1])/72 - (1627*t[2])/144 + (1591*t[3])/144 + 
       (9551*t[4])/288 + (1091*t[5])/32 + (2867*t[6])/192 - (6865*t[7])/72 + 
       (7595*t[8])/144 - (8741*t[9])/144 + (12853*t[10])/192 - 
       (30295*t[11])/576 - (11707*t[12])/576 - (128617*t[13])/5184 - 
       (3635*t[14])/1152 + (393*t[15])/64 - t[17]/6 + t[20]/2 + 
       (13*t[22])/12 + (7*t[24])/3 - (11*t[27])/9 + (28*t[28])/9 + 
       (2*t[29])/9 - (7*t[30])/18 - 8*t[31] - (43*t[32])/9 + (52*t[33])/9 + 
       (2*t[34])/9 - (31*t[35])/3 - (33*t[36])/4 + (17*t[37])/3 - 
       (13*t[38])/18 + (95*t[39])/18 - (391*t[40])/72 + (185*t[41])/72 - 
       (185*t[42])/72 + (7*t[43])/36 - (1933*t[44])/72 - (461*t[45])/36 - 
       (5*t[46])/24 - (13*t[47])/3 + (17377*t[48])/576 + (11657*t[49])/576 - 
       (1851*t[50])/64 - (3883*t[51])/384 + (6481*t[52])/192 - 
       (8201*t[53])/576 + (489*t[54])/64 + t[55]/6 + (185*t[59])/24 - 
       (3223*t[60])/72 - (4255*t[61])/36 + (13591*t[62])/144 + 
       (3361*t[63])/144 - (639*t[64])/16 - (20485*t[65])/432 + 
       (43513*t[66])/432 - (8*t[68])/3 + (11*t[69])/3 + t[70]/3 - t[71]/3 + 
       (15*t[72])/2 - (64*t[73])/3 + (53*t[74])/6 + (131*t[75])/6 + 
       (121*t[76])/9 + (49*t[77])/12 - (226*t[78])/9 + t[79]/4 - 
       (64*t[80])/9 - (11*t[81])/12 + (7*t[82])/12 + (21*t[83])/4 - 
       (503*t[84])/16 - (5833*t[85])/144 - (371*t[86])/4 - (2263*t[87])/144 - 
       (2287*t[88])/288 + (87*t[89])/16 + (16*t[95])/3 + (26*t[96])/3 + 
       (61*t[97])/9 + (160*t[98])/3 - (175*t[99])/3 + (26*t[100])/3 + 
       (3*t[102])/2) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2*((-19*t[1])/8 - (229*t[2])/48 + (1543*t[3])/96 - 
       (501*t[4])/32 + (3211*t[5])/192 - (619*t[6])/24 + (285*t[7])/32 - 
       (6037*t[8])/96 - (4031*t[9])/192 + (5177*t[10])/192 - 
       (1547*t[11])/96 - (425*t[12])/48 - (13807*t[13])/864 - 
       (7601*t[14])/384 + (8251*t[15])/1152 - t[16]/3 + t[17]/3 - t[18]/3 + 
       (3*t[20])/2 - t[21]/3 - (17*t[22])/4 + t[23]/3 + (2*t[24])/3 - 
       (3*t[25])/2 - (8*t[26])/3 + 4*t[27] - 2*t[28] + (3*t[29])/2 + 
       3*t[30] - t[31]/2 + (23*t[32])/12 - (3*t[33])/4 + (43*t[34])/6 - 
       5*t[35] - (95*t[36])/12 - t[37]/2 - (4*t[38])/3 - t[39]/4 - 
       (13*t[40])/6 + (17*t[41])/24 - (7*t[42])/8 + (5*t[43])/8 + 
       (9*t[44])/2 + (247*t[45])/48 + (29*t[46])/24 - (583*t[47])/24 - 
       (473*t[48])/24 + (1177*t[49])/192 + (35*t[50])/8 - (487*t[51])/384 - 
       (67*t[52])/8 - (937*t[53])/192 - (499*t[54])/32 - t[56]/6 + 
       (2*t[57])/3 - (13*t[58])/6 + (5*t[59])/2 - (3881*t[60])/96 - 
       (9559*t[61])/96 - (4993*t[62])/192 + (6041*t[63])/192 - 
       (5591*t[64])/192 + (4487*t[65])/288 + (22129*t[66])/288 - t[67]/6 + 
       (5*t[68])/6 - t[69]/2 + (2*t[70])/3 - (2*t[71])/3 + (13*t[72])/2 - 
       16*t[73] - (13*t[74])/3 + 18*t[75] + (19*t[76])/2 + (23*t[77])/12 - 
       (79*t[78])/12 + (15*t[79])/4 + (10*t[80])/3 - 3*t[81] + 
       (515*t[82])/24 + (31*t[83])/4 - (429*t[84])/32 + (265*t[85])/96 + 
       (361*t[86])/8 - (409*t[87])/96 - (409*t[88])/192 - (2063*t[89])/192 + 
       t[91]/24 - t[92]/6 - t[93]/2 + t[94]/6 + (9*t[97])/4 + 74*t[98] - 
       85*t[99] + 15*t[100] + (3*t[102])/2) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*(-t[59]/4 - (737*t[60])/48 + 
       (5*t[61])/6 + (1199*t[62])/192 - (2769*t[63])/64 + (37*t[64])/48 - 
       (2843*t[65])/96 - (3023*t[66])/288 + (8*t[72])/3 - t[73] + 2*t[74] - 
       12*t[75] + 2*t[76] + t[77]/4 - 11*t[78] + (49*t[79])/48 + t[80] - 
       (7*t[81])/3 + (17*t[82])/12 + 5*t[83] - (53*t[84])/8 + (43*t[85])/24 - 
       (25*t[86])/48 + (161*t[87])/24 + (161*t[88])/48 - (545*t[89])/96 + 
       36*t[98] - 32*t[99] - (259*t[100])/12 + 2*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((4*t[1])/3 - (29*t[2])/3 + (197*t[3])/24 + (479*t[4])/4 - 
       (283*t[5])/2 + (1643*t[6])/48 + (2479*t[7])/24 + (241*t[8])/24 + 
       263*t[9] - (137*t[10])/2 + (311*t[11])/48 + (1409*t[12])/24 - 
       (967*t[13])/432 + (523*t[14])/12 - (18701*t[15])/144 - t[18]/3 - 
       12*t[19] + 3*t[20] + 12*t[21] - (8*t[22])/3 - 12*t[23] + 6*t[25] + 
       (5*t[26])/3 + (11*t[29])/2 - 11*t[30] + 4*t[31] + (28*t[32])/3 - 
       (28*t[33])/3 + (2*t[34])/3 - 18*t[35] - 25*t[36] + 3*t[37] - 
       (13*t[38])/2 + (53*t[39])/6 - (44*t[40])/3 - (11*t[41])/3 + 
       (13*t[42])/3 - (715*t[43])/24 - 7*t[44] - (905*t[45])/12 - 
       (22*t[46])/3 + (325*t[47])/2 - (89*t[48])/48 + (1241*t[49])/24 - 
       (241*t[50])/48 - (505*t[51])/48 + (689*t[52])/48 - (1097*t[53])/24 - 
       (547*t[54])/48 + (5*t[58])/3 + (97*t[59])/12 + (521*t[60])/3 + 
       (256*t[61])/3 - (10315*t[62])/48 + (489*t[63])/16 + (3197*t[64])/24 - 
       (4303*t[65])/72 - 132*t[66] - 15*t[69] - 6*t[72] - 36*t[73] - 
       (46*t[74])/3 - 25*t[75] + (58*t[76])/3 + 7*t[77] - (209*t[78])/6 + 
       23*t[79] + (247*t[80])/3 + (71*t[81])/3 - (193*t[82])/6 - 
       (61*t[83])/2 + (235*t[84])/8 + (1045*t[85])/24 + (1307*t[86])/6 - 
       (2903*t[87])/24 - (2903*t[88])/48 + (707*t[89])/24 + (9*t[96])/2 + 
       (25*t[97])/3 + 202*t[98] - 82*t[99] - 245*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((23*t[1])/12 + (101*t[2])/3 + (1165*t[3])/24 - (1115*t[4])/12 + 
       (334*t[5])/3 + (989*t[6])/24 - (931*t[7])/4 + (1675*t[8])/12 - 
       (459*t[9])/2 - (141*t[10])/8 - (6641*t[11])/24 - (657*t[12])/8 - 
       (12757*t[13])/108 - (22969*t[14])/144 + (4175*t[15])/144 + 2*t[16] + 
       6*t[19] - 12*t[20] - 3*t[21] + 12*t[22] + (8*t[23])/3 - 16*t[25] + 
       (17*t[26])/2 + (124*t[29])/3 - (10*t[30])/3 - 12*t[31] - 
       (53*t[32])/6 + 8*t[33] + (3*t[34])/2 - 6*t[35] - 13*t[36] + 
       (13*t[38])/3 - (27*t[39])/2 + (89*t[40])/6 + (7*t[41])/12 - 
       (7*t[42])/12 + (57*t[43])/4 - (195*t[44])/4 - (15*t[45])/2 + 
       (7*t[46])/2 - (82*t[47])/3 + (1571*t[48])/24 - (277*t[49])/24 - 
       (533*t[50])/24 + (169*t[51])/16 + (433*t[52])/24 + (39*t[53])/8 + 
       (1709*t[54])/24 - (3*t[58])/2 + (29*t[59])/3 - (475*t[60])/48 - 
       (6965*t[61])/16 + (2891*t[62])/12 + (2047*t[63])/8 - (1291*t[64])/32 + 
       (14717*t[65])/72 + (24889*t[66])/48 - (3*t[68])/2 + 4*t[69] - 
       3*t[72] - 87*t[73] + (67*t[74])/3 + 65*t[75] - (71*t[76])/6 - 
       (49*t[77])/12 - (68*t[78])/3 + (43*t[79])/2 + (307*t[80])/12 + 
       (61*t[81])/3 + (63*t[82])/4 - (183*t[83])/2 + (777*t[84])/16 + 
       (225*t[85])/16 - (61*t[86])/8 - (3323*t[87])/48 - (3659*t[88])/96 + 
       (7175*t[89])/96 - (8*t[95])/3 - t[96] + (59*t[97])/6 + 118*t[98] + 
       2*t[99] - 197*t[100] + 3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*(-2*t[1] - (109*t[2])/24 - 
       (61*t[3])/16 - (673*t[4])/16 + (673*t[5])/32 - (2719*t[6])/96 + 
       (1615*t[7])/48 + (1979*t[8])/48 - (819*t[9])/32 - (3887*t[10])/96 + 
       (311*t[11])/96 + (83*t[12])/8 + (14089*t[13])/864 - (1373*t[14])/192 + 
       (22295*t[15])/1728 - t[16]/6 + 4*t[25] + t[26]/6 + (8*t[27])/3 + 
       t[28] - (13*t[29])/6 - (20*t[30])/3 - (8*t[31])/3 + 2*t[32] - 
       2*t[33] - (29*t[34])/6 + 12*t[35] + (17*t[36])/6 - (13*t[37])/3 - 
       (7*t[38])/3 + (5*t[39])/6 + (43*t[40])/12 + (3*t[41])/4 - 
       (3*t[42])/4 - (29*t[43])/24 + (197*t[44])/12 + (25*t[45])/12 - 
       (29*t[46])/12 + (7*t[47])/3 + (677*t[48])/96 - (1135*t[49])/96 - 
       (535*t[50])/96 + (633*t[51])/64 - (217*t[52])/96 + (1615*t[53])/96 + 
       (1645*t[54])/96 - t[58]/2 + (53*t[59])/12 - (313*t[60])/9 + 
       (805*t[61])/12 - (3739*t[62])/48 - (6635*t[63])/144 + (791*t[64])/72 + 
       (9115*t[65])/216 - (14347*t[66])/216 + (5*t[68])/3 - (17*t[69])/3 + 
       (2*t[70])/3 - (2*t[71])/3 + (47*t[72])/9 - (51*t[73])/2 + 
       (10*t[74])/3 + 37*t[75] + t[76]/6 + (5*t[77])/2 + (50*t[78])/3 - 
       (77*t[79])/2 + 34*t[80] - (371*t[81])/18 + (73*t[82])/18 - 
       (29*t[83])/18 - (955*t[84])/72 - (2335*t[85])/72 + (117*t[86])/2 + 
       (3931*t[87])/72 + (3475*t[88])/144 - (161*t[89])/9 + (16*t[95])/3 + 
       (16*t[96])/3 + (25*t[97])/6 - 34*t[98] + 100*t[99] - (421*t[100])/3 + 
       3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((-10*t[1])/3 - (317*t[2])/24 - (457*t[3])/48 - 
       (277*t[4])/16 + (5*t[5])/96 - (1945*t[6])/96 + (1705*t[7])/48 - 
       (1787*t[8])/48 + (627*t[9])/32 - (77*t[10])/32 + (7169*t[11])/96 + 
       (1231*t[12])/48 + (14359*t[13])/864 + (37105*t[14])/576 + 
       (1471*t[15])/64 + (5*t[16])/3 + t[22] + 4*t[25] + t[26]/6 - 
       (2*t[27])/3 + (10*t[28])/3 - (17*t[29])/6 + (71*t[30])/6 - t[31] - 
       (5*t[32])/6 + (5*t[33])/6 - (35*t[34])/6 - 5*t[35] + (3*t[36])/2 - 
       (5*t[37])/3 - (10*t[38])/3 + (3*t[39])/2 + (53*t[40])/12 + 
       (7*t[41])/12 - (7*t[42])/12 + (101*t[43])/24 + (43*t[44])/12 + 
       (17*t[45])/4 + (27*t[46])/4 - (13*t[47])/3 - (2749*t[48])/96 - 
       (1715*t[49])/96 - (473*t[50])/96 + (835*t[51])/192 - (1079*t[52])/96 + 
       (1507*t[53])/96 + (533*t[54])/32 - (3*t[58])/2 + (77*t[59])/12 + 
       (2735*t[60])/24 + (4937*t[61])/24 - (349*t[62])/3 + (77*t[63])/2 - 
       (7019*t[64])/48 - (1555*t[65])/18 - (1174*t[66])/9 - 4*t[68] - 
       t[69]/3 + (8*t[70])/3 - (8*t[71])/3 + (31*t[72])/3 - (197*t[73])/6 + 
       (10*t[74])/3 + (92*t[75])/3 + t[76]/2 + (17*t[77])/2 + (2*t[78])/3 - 
       14*t[79] + (70*t[80])/3 - (5*t[81])/2 - (32*t[82])/3 - 10*t[83] + 
       (53*t[84])/12 - (485*t[85])/12 - 6*t[86] - (221*t[87])/3 - 31*t[88] - 
       (887*t[89])/16 + (10*t[95])/3 + (10*t[96])/3 + (37*t[97])/6 - 
       34*t[98] + 100*t[99] - (421*t[100])/3 + 3*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-23*t[1])/6 - (35*t[2])/3 - 37*t[3] + (455*t[4])/12 - 
       (2017*t[5])/24 + (241*t[6])/24 + (463*t[7])/6 - (65*t[8])/3 + 
       (4159*t[9])/24 - (34*t[10])/3 + (523*t[11])/6 + (1469*t[12])/24 + 
       (31591*t[13])/432 + (1061*t[14])/18 - (2005*t[15])/48 - t[18] + 
       6*t[22] - 2*t[27] + 4*t[28] + 2*t[29] - 8*t[30] + 12*t[31] + 2*t[32] - 
       2*t[33] + 9*t[34] + 12*t[35] - 5*t[36] - 6*t[37] - 2*t[38] + 4*t[39] - 
       (23*t[40])/3 + (7*t[41])/6 - (7*t[42])/6 - (67*t[43])/3 - 2*t[44] - 
       (71*t[45])/2 - (23*t[46])/2 + 98*t[47] - 8*t[48] + 25*t[49] + 
       (25*t[50])/2 - (29*t[51])/8 - (13*t[52])/2 - 25*t[53] - 17*t[54] - 
       (17*t[59])/3 + (323*t[60])/4 + (1619*t[61])/12 - (955*t[62])/4 + 
       (165*t[63])/4 + (485*t[64])/24 - (307*t[65])/36 - (7657*t[66])/36 - 
       6*t[69] - 6*t[72] - 64*t[73] - 15*t[74] - 109*t[75] - 21*t[76] + 
       (8*t[77])/3 - 73*t[78] - 5*t[79] - 25*t[80] + 2*t[81] - (3*t[82])/2 + 
       12*t[83] - 5*t[84] + (47*t[85])/2 + 48*t[86] - (43*t[87])/2 - 
       (43*t[88])/4 + (1507*t[89])/24 + t[97] + 170*t[98] - 192*t[99] - 
       124*t[100] + 3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*(-t[1]/2 - (155*t[2])/24 + 
       (433*t[3])/24 - (151*t[4])/16 + (241*t[5])/12 - (153*t[6])/8 + 
       (139*t[7])/4 - (589*t[8])/24 - (183*t[9])/8 - (2293*t[10])/96 + 
       (1169*t[11])/24 + (621*t[12])/32 + (2867*t[13])/216 - 
       (2099*t[14])/192 + (1001*t[15])/96 - (7*t[16])/6 + t[17]/3 + 
       (10*t[18])/3 + 2*t[19] + t[20] + (4*t[21])/3 - 5*t[22] - (4*t[23])/3 + 
       (13*t[24])/3 - 5*t[25] - 6*t[28] + t[29] + 7*t[30] - 4*t[31] - 
       (11*t[32])/6 + (17*t[33])/6 + (53*t[34])/6 - 3*t[35] - (23*t[36])/6 - 
       4*t[37] - (13*t[38])/6 - (47*t[39])/6 + (7*t[40])/3 + (9*t[41])/4 - 
       (7*t[42])/12 - (13*t[43])/3 + (13*t[44])/3 + (101*t[45])/24 - 
       (25*t[46])/4 - (31*t[47])/4 - (163*t[48])/12 + (1301*t[49])/96 + 
       (17*t[50])/4 + (271*t[51])/64 - (59*t[52])/4 - (1301*t[53])/96 - 
       (295*t[54])/16 - t[56]/3 + (4*t[57])/3 - (5*t[58])/3 + (77*t[59])/12 + 
       (167*t[60])/8 + (633*t[61])/8 - (495*t[62])/8 + (1349*t[63])/24 - 
       (2785*t[64])/48 + (143*t[65])/72 - (295*t[66])/6 + (5*t[67])/6 + 
       (9*t[68])/2 + t[69]/3 - (14*t[70])/3 + (14*t[71])/3 - t[72]/3 - 
       (163*t[73])/6 - (2*t[74])/3 + (131*t[75])/6 + (59*t[76])/3 - t[77]/3 + 
       (25*t[78])/6 + (9*t[79])/2 + (209*t[80])/6 + (109*t[81])/12 - 
       (31*t[82])/12 + 29*t[83] - (35*t[84])/12 + (175*t[85])/24 + 
       (195*t[86])/4 - (991*t[87])/24 - (991*t[88])/48 - (2209*t[89])/48 + 
       t[91]/6 + (7*t[92])/6 - 2*t[93] - (5*t[94])/6 + (5*t[97])/2 + 
       58*t[98] - 20*t[99] - (278*t[100])/3 + 3*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((7*t[1])/6 - (275*t[2])/24 + (1399*t[3])/48 + (217*t[4])/16 + 
       (589*t[5])/32 - (1421*t[6])/32 + (1129*t[7])/16 - (3373*t[8])/48 + 
       (745*t[9])/32 - (1119*t[10])/32 + (7975*t[11])/96 + (425*t[12])/48 + 
       (36773*t[13])/864 - (485*t[14])/576 + (427*t[15])/1728 + t[17]/6 - 
       2*t[22] - t[24] - (4*t[27])/3 - 2*t[28] - (2*t[29])/3 - 4*t[30] - 
       2*t[31] - 7*t[32] - (13*t[33])/3 - (11*t[34])/6 + 3*t[35] - 
       (3*t[36])/2 + t[37]/3 + t[38]/2 + 3*t[39] + (9*t[40])/4 - t[41]/12 + 
       t[42]/12 + (43*t[43])/24 + (51*t[44])/4 - (29*t[45])/4 - 
       (17*t[46])/12 + 14*t[47] - (729*t[48])/32 - (209*t[49])/96 + 
       (937*t[50])/96 + (137*t[51])/192 - (1273*t[52])/96 + (785*t[53])/96 - 
       (4615*t[54])/96 - t[55]/3 + (9*t[59])/2 - (1205*t[60])/36 + 
       (163*t[61])/4 - (4241*t[62])/48 - (2737*t[63])/144 + (209*t[64])/9 - 
       (35*t[65])/27 - (5117*t[66])/54 + (2*t[68])/3 + (11*t[69])/3 - 
       (10*t[70])/3 + (10*t[71])/3 + (16*t[72])/9 - 30*t[73] - (17*t[74])/3 + 
       (79*t[75])/2 + (46*t[76])/3 + (13*t[77])/6 - (107*t[78])/6 - 
       (53*t[79])/2 + 22*t[80] - (311*t[81])/36 - (17*t[82])/36 - 
       (53*t[83])/9 - (775*t[84])/36 - (1361*t[85])/72 + (93*t[86])/2 + 
       (215*t[87])/72 - (1897*t[88])/144 - (685*t[89])/36 + (22*t[95])/3 + 
       (37*t[96])/3 + (13*t[97])/3 + 58*t[98] - 20*t[99] - (278*t[100])/3 + 
       3*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*(t[2] - (110*t[3])/3 - (39*t[4])/2 - 
       (1049*t[5])/24 + (4105*t[6])/48 - (115*t[7])/6 + (1079*t[8])/6 + 
       9*t[9] - (143*t[10])/4 - (451*t[11])/16 + (595*t[12])/24 + 
       (265*t[13])/72 + (4985*t[14])/144 + (6655*t[15])/216 + 2*t[16] + 
       12*t[19] - t[23] - 5*t[25] + 2*t[26] + (41*t[29])/4 + (145*t[30])/6 + 
       (5*t[32])/6 - (5*t[33])/6 + (10*t[34])/3 - 8*t[36] - 6*t[37] + 
       3*t[38] - 5*t[39] + (19*t[40])/3 + 6*t[41] - 6*t[42] - (82*t[44])/3 - 
       2*t[46] + (2447*t[48])/48 - (39*t[49])/2 - (97*t[50])/48 + 
       (39*t[51])/4 + (97*t[52])/48 + (39*t[53])/2 + (1151*t[54])/16 - 
       (7*t[59])/12 + (901*t[60])/48 - (1181*t[61])/16 - (5675*t[62])/48 - 
       (3047*t[63])/48 - (471*t[64])/32 + (4241*t[65])/18 + (151*t[66])/16 + 
       t[69] + 6*t[72] - 55*t[73] + 12*t[74] - 19*t[75] + (23*t[76])/3 + 
       (39*t[77])/4 - (277*t[78])/3 - (31*t[79])/2 + (201*t[80])/4 + 
       (32*t[81])/3 + (25*t[82])/4 - (111*t[83])/2 + (2377*t[84])/48 + 
       (3373*t[85])/48 + (743*t[86])/8 - (627*t[87])/16 - (627*t[88])/32 + 
       (10987*t[89])/96 + 3*t[97] + 86*t[98] - 108*t[99] - 76*t[100] + 
       3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 
       1 - w]*((-19*t[1])/4 + (95*t[2])/8 + (85*t[3])/48 - (587*t[4])/16 + 
       (559*t[5])/96 + (3395*t[6])/96 + (309*t[7])/16 + (977*t[8])/16 + 
       (773*t[9])/32 - (2415*t[10])/32 - (2097*t[11])/32 - (53*t[12])/16 - 
       (2371*t[13])/96 + (1283*t[14])/576 - (10567*t[15])/576 - (4*t[16])/3 - 
       (20*t[25])/3 + (31*t[26])/3 + (7*t[27])/3 + 20*t[28] - (3*t[29])/2 - 
       t[30]/2 - 7*t[31] - (3*t[32])/2 + (3*t[33])/2 + 4*t[34] + 15*t[35] - 
       (43*t[36])/6 + 3*t[37] - (31*t[38])/6 - (5*t[39])/3 - (55*t[40])/12 - 
       2*t[41] + 2*t[42] + t[43]/8 - (3*t[44])/4 - (41*t[45])/4 + 
       (25*t[46])/12 + 19*t[47] + (1451*t[48])/96 - (2129*t[49])/96 + 
       (1103*t[50])/96 + (199*t[51])/64 + (123*t[52])/32 + (1345*t[53])/96 + 
       (1499*t[54])/96 + t[58] + (8*t[59])/3 - (93*t[60])/2 + (23*t[61])/3 - 
       (191*t[62])/4 - (1301*t[63])/12 + (1015*t[64])/24 - 125*t[65] + 
       (25*t[66])/12 + (8*t[68])/3 - 4*t[69] + (14*t[70])/3 - (14*t[71])/3 + 
       16*t[72] - 52*t[73] + 3*t[74] - 25*t[75] - (56*t[76])/3 + 
       (8*t[77])/3 - (50*t[78])/3 - (75*t[79])/2 + (44*t[80])/3 - 
       (136*t[81])/3 + (75*t[83])/2 - (535*t[84])/24 - (223*t[85])/24 + 
       (157*t[86])/2 + (453*t[87])/8 + (2359*t[88])/48 - (77*t[89])/4 - 
       2*t[95] - (38*t[96])/3 - (20*t[97])/3 - 218*t[98] + 272*t[99] - 
       8*t[100] + 3*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((13*t[1])/4 - (593*t[2])/24 + 
       (1495*t[3])/24 + (1565*t[4])/48 + (493*t[5])/12 - (1411*t[6])/32 + 
       (797*t[7])/24 - (2543*t[8])/24 - (3*t[9])/16 + (631*t[10])/32 + 
       (8939*t[11])/96 + (353*t[12])/96 + (13007*t[13])/288 + 
       (769*t[14])/64 - (5339*t[15])/432 + t[17]/6 - 4*t[20] + (3*t[22])/2 - 
       t[24] + t[26] - 6*t[27] - (28*t[28])/3 + (7*t[29])/24 + (65*t[30])/8 - 
       4*t[31] - (141*t[32])/8 + (11*t[33])/24 - (25*t[34])/3 - 5*t[35] - 
       3*t[36] - t[37]/3 + t[38]/3 + (39*t[39])/8 + (49*t[40])/24 + 
       (37*t[41])/12 - (37*t[42])/12 + (11*t[43])/24 + 7*t[44] - 
       (65*t[45])/6 - (61*t[46])/12 + 20*t[47] - (2521*t[48])/96 + 
       (1891*t[49])/96 - (303*t[50])/32 - (947*t[51])/192 + (143*t[52])/32 - 
       (1123*t[53])/96 - (5629*t[54])/96 - t[55]/3 + (11*t[59])/4 - 
       (77*t[60])/24 + (157*t[61])/12 - (1501*t[62])/16 + (713*t[63])/48 + 
       (1577*t[64])/48 - (8791*t[65])/72 - (9037*t[66])/72 - (10*t[68])/3 - 
       (14*t[69])/3 - 4*t[70] + 4*t[71] + (25*t[72])/3 - 32*t[73] - 5*t[74] + 
       (70*t[75])/3 + 14*t[76] - (5*t[77])/3 - 35*t[78] - 16*t[79] + 
       (39*t[80])/2 + (14*t[81])/3 - (89*t[82])/12 - (31*t[83])/3 - 
       (943*t[84])/24 - (185*t[85])/8 + (45*t[86])/2 - (677*t[87])/12 - 
       (395*t[88])/8 - (1685*t[89])/48 + (46*t[95])/3 + 16*t[96] + 
       (16*t[97])/3 + 49*t[98] - 57*t[99] + (15*t[100])/2 + 3*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((97*t[1])/36 - (737*t[2])/36 + (361*t[3])/72 - (3961*t[4])/144 + 
       (1369*t[5])/32 - (1943*t[6])/32 + (2915*t[7])/144 - (4085*t[8])/144 - 
       (12617*t[9])/288 - (1759*t[10])/96 + (7061*t[11])/288 - 
       (205*t[12])/72 + (21361*t[13])/1296 - (37093*t[14])/576 + 
       (18457*t[15])/1728 - (5*t[16])/6 + t[17]/6 + 4*t[18] + t[19] + t[20] + 
       5*t[21] - (37*t[22])/6 - 5*t[23] + (20*t[24])/3 - 8*t[25] + t[26] + 
       (47*t[27])/9 - (58*t[28])/9 + (25*t[29])/36 + (8*t[30])/9 - 
       (14*t[31])/3 - (20*t[32])/9 + (29*t[33])/9 + (95*t[34])/18 - 9*t[35] - 
       (73*t[36])/6 + (2*t[37])/3 + (2*t[38])/9 - (88*t[39])/9 + 
       (79*t[40])/18 + (83*t[41])/36 - (11*t[42])/36 + (613*t[43])/72 + 
       (97*t[44])/18 - (761*t[45])/72 + (69*t[47])/4 - (2333*t[48])/288 - 
       (1069*t[49])/288 + (793*t[50])/96 + (1613*t[51])/192 - 
       (2329*t[52])/96 + (925*t[53])/288 - (633*t[54])/32 - (2*t[58])/3 + 
       (55*t[59])/12 - (2089*t[60])/36 - (6745*t[61])/72 - (475*t[62])/9 - 
       (7277*t[63])/72 + (4391*t[64])/48 + (2362*t[65])/27 + 
       (929*t[66])/108 + (10*t[68])/3 - t[69]/3 - 8*t[70] + 8*t[71] + 
       10*t[72] - (185*t[73])/6 + (11*t[74])/3 + (215*t[75])/6 - 
       (16*t[76])/9 + (7*t[77])/3 + (239*t[78])/18 - (21*t[79])/2 + 
       (946*t[80])/9 - (5*t[81])/12 + (437*t[82])/12 + (56*t[83])/3 - 
       (391*t[84])/24 + (149*t[85])/18 + (359*t[86])/4 + (1799*t[87])/72 + 
       (1799*t[88])/144 + (577*t[89])/24 + t[91]/12 - t[93] + (31*t[97])/18 - 
       (7*t[98])/3 - (17*t[99])/3 + (221*t[100])/6 + 3*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-25*t[1])/12 - (169*t[2])/24 + (1919*t[3])/48 + (1523*t[4])/48 + 
       (3883*t[5])/96 + (61*t[6])/32 - (1193*t[7])/48 - (1073*t[8])/48 - 
       (1903*t[9])/32 - (2701*t[10])/96 + (2617*t[11])/96 - (1277*t[12])/48 + 
       (35065*t[13])/864 - (10547*t[14])/192 + (6379*t[15])/1728 - t[17]/3 + 
       4*t[19] - (4*t[24])/3 + (8*t[27])/3 + 7*t[28] + (11*t[29])/3 - 
       (23*t[30])/2 - 2*t[31] - (8*t[32])/3 + (43*t[33])/6 - (40*t[34])/3 - 
       10*t[35] - (69*t[36])/2 - 4*t[37] + t[38]/2 - (13*t[39])/3 + 
       t[40]/12 + (7*t[41])/3 - (7*t[42])/3 - (31*t[43])/8 + (4*t[44])/3 + 
       (17*t[45])/4 - (17*t[46])/12 + t[47]/2 + (223*t[48])/96 - 
       (539*t[49])/32 - (143*t[50])/32 + (1011*t[51])/64 + (397*t[52])/96 + 
       (347*t[53])/32 - (649*t[54])/96 + t[55]/3 + (5*t[59])/3 - 50*t[60] - 
       (304*t[61])/3 + (85*t[62])/4 - (3623*t[63])/12 + (1123*t[64])/24 - 
       (65*t[65])/2 - (299*t[66])/4 + (2*t[68])/3 + (2*t[70])/3 - 
       (2*t[71])/3 + 20*t[72] - 28*t[73] + 5*t[74] - 57*t[75] + 
       (40*t[76])/3 + (26*t[77])/3 - (182*t[78])/3 - (75*t[79])/2 + 
       (56*t[80])/3 - (94*t[81])/3 - 9*t[82] + (19*t[83])/2 + (53*t[84])/24 + 
       (1097*t[85])/24 + (117*t[86])/2 + (397*t[87])/8 + (1327*t[88])/48 + 
       38*t[89] + 2*t[95] - (26*t[96])/3 - (26*t[97])/3 - 26*t[98] + 
       8*t[99] + 92*t[100] + 3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((23*t[1])/2 - (269*t[2])/24 + (2*t[3])/3 + 
       (353*t[4])/16 - (857*t[5])/16 + 26*t[6] - (29*t[7])/6 - 
       (235*t[8])/24 + (1319*t[9])/48 - (307*t[10])/32 + (517*t[11])/12 - 
       (1351*t[12])/96 - (6697*t[13])/432 + (3277*t[14])/192 - 
       (1621*t[15])/72 + t[16]/3 + (7*t[17])/6 - (2*t[18])/3 + 2*t[20] - 
       (2*t[21])/3 + 3*t[22] + (2*t[23])/3 - (8*t[24])/3 - 11*t[25] + 
       (31*t[26])/6 - 16*t[27] + 2*t[28] + 7*t[29] + 5*t[30] + 5*t[31] + 
       (5*t[32])/6 + t[33]/2 - (61*t[34])/6 + 8*t[35] - (5*t[36])/6 - 
       11*t[37] + (7*t[38])/3 - t[39]/2 - (5*t[40])/6 + (21*t[41])/4 - 
       (67*t[42])/12 + (7*t[43])/24 - 7*t[44] + (139*t[45])/24 - 
       (109*t[46])/12 - (7*t[47])/4 + (79*t[48])/12 + (1057*t[49])/96 + 
       (23*t[50])/4 + (473*t[51])/192 - (13*t[52])/4 - (913*t[53])/96 - 
       (131*t[54])/16 - t[56]/3 + (4*t[57])/3 + (7*t[58])/6 + (37*t[59])/3 - 
       (815*t[60])/12 + (803*t[61])/6 - (7567*t[62])/48 + (297*t[63])/16 + 
       (2461*t[64])/24 - (1979*t[65])/8 - (451*t[66])/6 - t[67]/3 - 
       (7*t[68])/3 + (4*t[70])/3 - (4*t[71])/3 + 19*t[72] - 60*t[73] - 
       (20*t[74])/3 - 66*t[75] - 37*t[76] + (49*t[77])/2 - (95*t[78])/3 - 
       t[80]/2 - 26*t[81] - (83*t[82])/6 + 74*t[83] - (93*t[84])/2 - 
       (32*t[85])/3 - (23*t[86])/4 + (386*t[87])/3 + (193*t[88])/3 + 
       (35*t[89])/24 + t[91]/6 - t[92]/3 + 2*t[93] + t[94]/3 - t[97] - 
       26*t[98] + 8*t[99] + 92*t[100] + 3*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      (-2*t[1] + (35*t[2])/8 - (95*t[3])/12 - (929*t[4])/48 - (69*t[5])/8 - 
       (7*t[6])/16 - (53*t[7])/12 - (173*t[8])/24 + (1183*t[9])/24 + 
       (3059*t[10])/96 - (2141*t[11])/48 + (73*t[12])/32 - 
       (14705*t[13])/432 + (18827*t[14])/576 + (7555*t[15])/864 + 
       (2*t[16])/3 - (2*t[18])/3 + 4*t[19] - 2*t[20] - (2*t[21])/3 - 
       (14*t[22])/3 + (2*t[23])/3 - 9*t[25] - (2*t[26])/3 - 2*t[27] - 
       4*t[28] + (17*t[29])/6 - (8*t[30])/3 + (4*t[31])/3 - (25*t[32])/6 + 
       (17*t[33])/6 + (25*t[34])/2 + t[35] - t[36]/6 - 4*t[37] - 
       (7*t[38])/2 - (15*t[39])/2 + t[40]/3 + (5*t[41])/4 - (19*t[42])/12 + 
       (11*t[43])/3 - 7*t[44] - (275*t[45])/24 - (59*t[46])/12 + 
       (79*t[47])/12 + (317*t[48])/48 + (135*t[49])/32 - (131*t[50])/48 + 
       (1589*t[51])/192 + (155*t[52])/48 - (151*t[53])/32 + (171*t[54])/8 - 
       t[58]/3 + (49*t[59])/12 - (335*t[60])/18 - (3*t[61])/4 - 
       (823*t[62])/48 + (14149*t[63])/144 - (9433*t[64])/72 + 
       (959*t[65])/108 + (26039*t[66])/216 - (7*t[67])/6 - (3*t[68])/2 + 
       (17*t[69])/3 - (2*t[70])/3 + (2*t[71])/3 + (92*t[72])/9 - 
       (271*t[73])/6 - (26*t[74])/3 + (311*t[75])/6 + 9*t[76] + 10*t[77] + 
       (39*t[78])/2 - (7*t[79])/2 + (149*t[80])/6 - (379*t[81])/36 + 
       (905*t[82])/36 + (212*t[83])/9 - (1009*t[84])/72 - (95*t[85])/9 - 
       (311*t[86])/12 - (355*t[87])/36 - (355*t[88])/72 - (1193*t[89])/36 + 
       t[91]/6 - (5*t[92])/6 + (7*t[94])/6 + (17*t[97])/6 + 2*t[98] + 
       24*t[99] + 94*t[100] + 3*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((13*t[1])/6 - (169*t[2])/24 + 
       (243*t[3])/16 + (101*t[4])/16 + (3107*t[5])/96 + (425*t[6])/96 + 
       (55*t[7])/48 + (2459*t[8])/48 - (617*t[9])/96 + (829*t[10])/32 - 
       (1337*t[11])/96 - (7*t[12])/48 - (33143*t[13])/864 + 
       (9887*t[14])/576 + (13219*t[15])/1728 + t[22] + (4*t[24])/3 - 
       (2*t[27])/3 - 11*t[28] + (15*t[29])/2 - (4*t[30])/3 - 4*t[31] - 
       (2*t[32])/3 + t[33] + (7*t[34])/6 - 9*t[35] - (29*t[36])/2 + 
       (7*t[37])/3 - (3*t[38])/2 + (8*t[39])/3 - (21*t[40])/4 + 
       (19*t[41])/12 - (19*t[42])/12 + (13*t[43])/24 - (175*t[44])/12 - 
       (185*t[45])/12 - (19*t[46])/12 + (19*t[47])/3 + (1229*t[48])/96 + 
       (2323*t[49])/96 - (213*t[50])/32 - (1987*t[51])/192 + (421*t[52])/32 - 
       (1747*t[53])/96 + (497*t[54])/96 + t[55]/3 + (37*t[59])/6 - 
       (2171*t[60])/36 - (79*t[61])/3 - (517*t[62])/16 + (13157*t[63])/144 - 
       (275*t[64])/72 - (2012*t[65])/27 + (2246*t[66])/27 - 3*t[68] + 
       t[69]/3 + (2*t[70])/3 - (2*t[71])/3 + (52*t[72])/9 - (139*t[73])/3 + 
       (16*t[74])/3 + (253*t[75])/6 + (5*t[76])/3 + (3*t[77])/2 - 
       (91*t[78])/6 - 2*t[79] + (41*t[80])/3 - (575*t[81])/36 + 
       (835*t[82])/36 + (575*t[83])/18 - (755*t[84])/18 - (3251*t[85])/72 + 
       (79*t[86])/3 - (1675*t[87])/72 - (1195*t[88])/144 - (3341*t[89])/72 + 
       (10*t[95])/3 + (25*t[96])/3 + (22*t[97])/3 - 26*t[98] + 52*t[99] + 
       110*t[100] + 3*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-t[1]/2 + (89*t[2])/4 + (43*t[3])/24 - 
       (2903*t[4])/24 + (6217*t[5])/48 + (52*t[6])/3 + (91*t[7])/24 + 
       (1721*t[8])/24 - (6769*t[9])/48 - (6323*t[10])/48 - (76*t[11])/3 - 
       (1045*t[12])/24 - (9919*t[13])/432 + (10163*t[14])/288 + 
       (24949*t[15])/288 + 2*t[22] - 3*t[28] - 3*t[29] - 3*t[31] - t[32]/3 + 
       t[33]/3 + (32*t[34])/3 + 6*t[35] + 17*t[36] - 3*t[37] - (8*t[38])/3 - 
       (19*t[39])/3 + (2*t[40])/3 - (13*t[41])/6 + (13*t[42])/6 + 
       (439*t[43])/12 - 3*t[44] + (127*t[45])/6 - (53*t[46])/6 - 
       (197*t[47])/3 - (11*t[48])/24 - (943*t[49])/48 + (77*t[50])/24 + 
       (583*t[51])/96 + (33*t[52])/8 + (943*t[53])/48 + (105*t[54])/4 + 
       (109*t[59])/12 - (509*t[60])/24 - (1693*t[61])/24 - (281*t[62])/6 + 
       (377*t[63])/2 + (4897*t[64])/48 + (1093*t[65])/36 + (1067*t[66])/8 - 
       9*t[69] + 6*t[72] - 60*t[73] - (28*t[74])/3 - 13*t[75] - 
       (53*t[76])/3 - 10*t[77] - (41*t[78])/6 - t[79] + (157*t[80])/3 - 
       (16*t[81])/3 + (143*t[82])/6 + (29*t[83])/2 + (63*t[84])/4 - 
       (115*t[85])/12 + (539*t[86])/6 + (83*t[87])/12 + (83*t[88])/24 + 
       (199*t[89])/48 + (9*t[96])/2 + (22*t[97])/3 - 26*t[98] + 2*t[99] + 
       181*t[100] + 3*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-22*t[1])/3 + (331*t[2])/12 - (213*t[3])/4 - 
       (269*t[4])/8 - (689*t[5])/12 - (433*t[6])/16 + (771*t[7])/4 - 
       (3359*t[8])/12 + (1693*t[9])/8 - (693*t[10])/16 + (1073*t[11])/16 + 
       (2297*t[12])/48 + (695*t[13])/18 + (7339*t[14])/96 + (487*t[15])/24 + 
       2*t[16] + 11*t[25] - 5*t[26] + 3*t[28] - (68*t[29])/3 - (31*t[30])/3 + 
       3*t[31] + (11*t[32])/3 - 3*t[33] + (40*t[34])/3 - 18*t[35] - 7*t[36] - 
       3*t[37] - (26*t[38])/3 + (20*t[39])/3 - 12*t[40] - (3*t[41])/2 + 
       (3*t[42])/2 - (3*t[43])/2 + (509*t[44])/6 - (10*t[45])/3 + 5*t[46] - 
       (16*t[47])/3 - (4493*t[48])/48 - (1357*t[49])/48 + (3547*t[50])/48 - 
       (67*t[51])/96 - (3259*t[52])/48 + (1285*t[53])/48 - (619*t[54])/16 + 
       (57*t[59])/4 + (6875*t[60])/48 - (2243*t[61])/16 - (987*t[62])/8 + 
       (656*t[63])/3 - (10865*t[64])/32 + (1967*t[65])/24 + 
       (4321*t[66])/144 - (3*t[68])/2 + 7*t[69] + 3*t[72] - 57*t[73] + 
       (22*t[74])/3 + 32*t[75] - (35*t[76])/3 - (33*t[77])/4 - 
       (251*t[78])/3 + 29*t[79] + (77*t[80])/4 + (64*t[81])/3 + 
       (163*t[82])/4 + 3*t[83] + (613*t[84])/16 + (2807*t[85])/48 + 
       (779*t[86])/8 - (9199*t[87])/48 - (8959*t[88])/96 - (3941*t[89])/32 - 
       (8*t[95])/3 + (40*t[97])/3 - 26*t[98] + 2*t[99] + 181*t[100] + 
       3*t[102]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-47*t[1])/6 + 47*t[2] + (1339*t[3])/24 - 
       56*t[4] + (3761*t[5])/48 - (299*t[6])/8 + (143*t[7])/6 + 
       (133*t[8])/12 + (3205*t[9])/48 - 120*t[10] + 120*t[11] - 
       (95*t[12])/16 + (26369*t[13])/216 + (12119*t[14])/144 - 
       (13901*t[15])/864 + (79*t[18])/9 + 4*t[19] + 10*t[21] - 8*t[22] - 
       10*t[23] + 14*t[24] + 2*t[25] - 7*t[26] - 10*t[27] + 10*t[28] + 
       (25*t[29])/3 - (68*t[30])/3 + (4*t[31])/3 - (38*t[32])/3 + 
       (38*t[33])/3 + 21*t[34] - 6*t[36] - 4*t[37] - 2*t[38] - (17*t[39])/6 - 
       t[40]/6 + (5*t[41])/6 - (3*t[42])/2 - (91*t[43])/24 - (52*t[44])/3 - 
       (73*t[45])/2 - 16*t[46] + (220*t[47])/3 - (533*t[48])/24 + 
       (431*t[49])/12 - (1433*t[50])/24 - (167*t[51])/24 + (1393*t[52])/24 - 
       (431*t[53])/12 + (161*t[54])/24 - t[56]/3 - (4*t[57])/3 - t[58] + 
       (55*t[59])/6 + (4885*t[60])/24 + (5327*t[61])/24 - (35149*t[62])/144 + 
       (38413*t[63])/144 + (20471*t[64])/144 + (5897*t[65])/27 - 
       (86467*t[66])/216 + 2*t[68] - 8*t[69] - 7*t[70] + 7*t[71] - 18*t[72] - 
       42*t[73] - (37*t[74])/6 + 32*t[75] + 20*t[76] + (17*t[77])/6 - 
       41*t[78] + (22*t[79])/3 + (931*t[80])/6 + (163*t[81])/4 - 
       (151*t[82])/12 - (1189*t[83])/18 + (2293*t[84])/36 + (3199*t[85])/72 + 
       (5093*t[86])/36 - (14795*t[87])/72 - (15083*t[88])/144 + 
       (359*t[89])/144 + t[91]/6 - 2*t[93] + 8*t[97] + 80*t[98] - 16*t[99] - 
       (773*t[100])/3 + 4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*(7*t[1] - (7*t[2])/2 + 
       (1145*t[3])/8 + (593*t[4])/6 - (1993*t[5])/24 - (2095*t[6])/16 + 
       (1447*t[7])/12 - (1813*t[8])/6 + (1987*t[9])/12 - (961*t[10])/12 + 
       (10081*t[11])/48 + (679*t[12])/24 + (10639*t[13])/216 + 
       (3775*t[14])/48 - (3545*t[15])/48 + (10*t[18])/3 - 5*t[22] - 4*t[25] - 
       (23*t[27])/3 + (10*t[28])/3 - (25*t[29])/2 + (10*t[30])/3 - 6*t[31] - 
       (73*t[32])/6 - 17*t[33] + 6*t[34] + 12*t[35] - 2*t[36] - 6*t[37] + 
       t[38] + 24*t[39] - (43*t[40])/2 - (8*t[41])/3 + (8*t[42])/3 - 
       (47*t[43])/12 + (305*t[44])/12 - (16*t[45])/3 - 6*t[46] - 
       (11*t[47])/3 - (3151*t[48])/48 + (97*t[49])/4 + (733*t[50])/48 - 
       (425*t[51])/24 - (159*t[52])/16 - (143*t[53])/12 - (5621*t[54])/48 + 
       (46*t[59])/3 + (2249*t[60])/24 + (1529*t[61])/8 - (2561*t[62])/12 + 
       (2257*t[63])/6 - (3083*t[64])/48 - (11*t[65])/36 - (16795*t[66])/72 + 
       6*t[68] - 10*t[69] - 7*t[70] + 7*t[71] - 21*t[72] - 50*t[73] - 
       14*t[74] + 52*t[75] + (64*t[76])/3 + 17*t[77] - (32*t[78])/3 + 
       5*t[79] - (71*t[80])/6 + (115*t[81])/3 - (115*t[82])/3 - 
       (93*t[83])/2 + (205*t[84])/24 - (301*t[85])/8 + (225*t[86])/4 - 
       (4081*t[87])/24 - (5129*t[88])/48 - (2713*t[89])/48 + t[91]/6 - 
       2*t[93] + 16*t[95] + 24*t[96] + 13*t[97] + 80*t[98] - 16*t[99] - 
       (754*t[100])/3 + 4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((35*t[1])/6 - (3*t[2])/4 + 
       (1325*t[3])/12 - (13*t[4])/8 + (139*t[5])/24 - (155*t[6])/3 + 
       (87*t[7])/4 + (35*t[8])/4 - (783*t[9])/8 - (257*t[10])/48 + 
       (139*t[11])/12 + (1441*t[12])/48 - (749*t[13])/24 - (7925*t[14])/96 - 
       (493*t[15])/27 - 4*t[18] - 4*t[20] - 4*t[25] + t[27] - 4*t[28] + 
       (49*t[29])/2 + (191*t[30])/6 - 10*t[31] + (14*t[32])/3 - 
       (73*t[33])/6 - (56*t[34])/3 - 4*t[35] - 14*t[36] - 4*t[37] + 
       (20*t[38])/3 + (13*t[39])/3 + (14*t[40])/3 + t[41] - t[42] - 2*t[43] + 
       (13*t[44])/6 - (31*t[45])/6 + 2*t[46] + (41*t[47])/6 - (49*t[48])/6 - 
       (215*t[49])/48 + (13*t[50])/2 - (149*t[51])/96 - (35*t[52])/2 + 
       (983*t[53])/48 - (509*t[54])/24 - (31*t[59])/12 - (3061*t[60])/8 + 
       (417*t[61])/8 + (527*t[62])/8 + (3049*t[63])/24 + (11893*t[64])/48 + 
       (779*t[65])/4 + (6283*t[66])/24 + 7*t[68] + 19*t[72] - 4*t[73] - 
       14*t[74] + 32*t[75] + (59*t[76])/2 + 15*t[77] - 78*t[78] + 59*t[79] + 
       (67*t[80])/2 - (77*t[81])/6 + (77*t[82])/3 - (1885*t[84])/24 - 
       (1261*t[85])/24 + (241*t[86])/4 + (2159*t[87])/24 + (1495*t[88])/48 - 
       (1561*t[89])/48 + t[91]/6 - 2*t[93] + 16*t[95] + 20*t[96] + 
       (37*t[97])/6 + 140*t[98] - 88*t[99] - (238*t[100])/3 + 4*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-37*t[1])/6 - (151*t[2])/12 - (1027*t[3])/12 - (4771*t[4])/24 + 
       (187*t[5])/2 + (1217*t[6])/24 + (103*t[7])/3 + (317*t[8])/2 + 
       (19*t[9])/4 + (7877*t[10])/48 + (677*t[11])/24 + (857*t[12])/48 + 
       (2357*t[13])/216 + (19109*t[14])/96 + (4859*t[15])/48 - t[17] + 
       (4*t[18])/3 - 6*t[19] + 2*t[21] - t[22]/3 - (2*t[23])/3 - 4*t[24] + 
       6*t[25] - 6*t[26] - 12*t[27] + 14*t[28] + 4*t[29] - 12*t[30] + 
       4*t[31] - (23*t[32])/3 + (23*t[33])/3 + (25*t[34])/3 + 8*t[35] + 
       4*t[36] + 2*t[37] - (4*t[38])/3 - (5*t[39])/3 + (67*t[40])/6 - 
       7*t[41] + (26*t[42])/3 + 2*t[43] - 8*t[44] + (209*t[45])/3 + 5*t[46] - 
       (451*t[47])/6 - (49*t[48])/24 + (31*t[49])/48 - (593*t[50])/24 - 
       (331*t[51])/96 + (265*t[52])/24 - (31*t[53])/48 + 29*t[54] - t[56]/3 + 
       (4*t[57])/3 - t[58] - (31*t[59])/12 - (445*t[60])/12 + 
       (1447*t[61])/12 - (2911*t[62])/24 + (7507*t[63])/24 + 
       (1291*t[64])/12 + (17755*t[65])/72 + (875*t[66])/12 + t[68] + 
       4*t[69] - 6*t[70] + 6*t[71] + 6*t[72] - 22*t[73] - (265*t[74])/6 + 
       54*t[75] + (91*t[76])/6 - (31*t[77])/2 + (115*t[78])/3 + 
       (109*t[79])/3 - (241*t[80])/2 - (23*t[81])/4 + (29*t[82])/4 - 
       (208*t[83])/3 + (595*t[84])/24 - (409*t[85])/12 - (671*t[86])/12 - 
       (215*t[87])/6 - (239*t[88])/12 + (307*t[89])/4 + t[91]/6 + 2*t[93] - 
       6*t[96] - (11*t[97])/6 + 140*t[98] - 88*t[99] - 73*t[100] + 
       4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-9*t[1])/2 + (1049*t[2])/36 + (20*t[3])/3 - 
       45*t[4] + (587*t[5])/12 + (1235*t[6])/48 - (397*t[7])/12 - 
       (1739*t[8])/12 + (1495*t[9])/24 + (281*t[10])/6 - (3187*t[11])/48 + 
       (367*t[12])/12 - (785*t[13])/36 + (2825*t[14])/48 - 
       (12221*t[15])/432 - 2*t[20] + 2*t[22] + t[27] + 10*t[28] - 
       (31*t[29])/2 - 21*t[30] - (23*t[31])/3 - (125*t[32])/6 + 
       (61*t[33])/3 + (52*t[34])/3 - 22*t[35] - 27*t[36] - 3*t[37] - 
       9*t[38] - (29*t[39])/6 - (35*t[40])/3 - (3*t[41])/2 + (3*t[42])/2 - 
       (53*t[43])/6 + (27*t[44])/2 - (67*t[45])/2 + t[46]/2 + (47*t[47])/2 - 
       (665*t[48])/16 + (169*t[49])/6 - (1307*t[50])/48 - (173*t[51])/8 + 
       (2155*t[52])/48 - (55*t[53])/2 + (631*t[54])/48 + (349*t[59])/36 + 
       (107*t[60])/8 - (803*t[61])/8 - (603*t[62])/8 + (1403*t[63])/24 - 
       (535*t[64])/48 - (136*t[65])/9 + (1543*t[66])/72 + 2*t[68] - 
       10*t[69] + 3*t[70] - 3*t[71] + t[72] - 34*t[73] + 4*t[74] - 15*t[75] + 
       (43*t[76])/2 + (83*t[77])/6 - (278*t[78])/3 + (153*t[79])/2 + 
       (21*t[80])/2 + 15*t[81] + (39*t[82])/2 + (57*t[83])/2 + 
       (275*t[84])/24 + (269*t[85])/24 + (977*t[86])/12 - (1835*t[87])/24 - 
       (1763*t[88])/48 - (183*t[89])/16 + t[91]/6 - 2*t[93] + (15*t[97])/2 + 
       132*t[98] - 114*t[99] - 44*t[100] + 4*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-31*t[1])/2 + 43*t[2] - (331*t[3])/24 + 44*t[4] - (957*t[5])/16 + 
       (2363*t[6])/72 + (409*t[7])/8 - (161*t[8])/8 + (8923*t[9])/48 - 
       (4241*t[10])/24 - (209*t[11])/8 - t[12]/48 - (28391*t[13])/432 + 
       (2507*t[14])/16 - (6035*t[15])/96 + t[18]/3 - 2*t[19] + 2*t[21] - 
       (22*t[22])/3 - 2*t[23] - (38*t[27])/3 + (49*t[28])/3 + (38*t[29])/3 - 
       (50*t[30])/3 - 16*t[31] + 9*t[32] - 9*t[33] + 36*t[34] + 12*t[35] + 
       t[37] - 9*t[38] + (53*t[39])/3 - (115*t[40])/6 + t[41]/2 - 
       (5*t[42])/18 + (31*t[43])/3 - (53*t[44])/3 + (35*t[45])/6 - 
       (39*t[46])/2 - (137*t[47])/6 + (163*t[48])/6 + (117*t[49])/4 - 
       (25*t[50])/3 - (215*t[51])/12 + (101*t[52])/3 - (117*t[53])/4 + 
       (51*t[54])/2 - t[56]/3 + (4*t[57])/3 + (433*t[59])/36 + 
       (202*t[60])/3 - 16*t[61] - (1001*t[62])/48 + (21509*t[63])/48 + 
       (1645*t[64])/24 - (49*t[65])/72 + (2342*t[66])/9 - t[68] + 4*t[69] + 
       3*t[70] - 3*t[71] - t[72] - 76*t[73] + 93*t[75] - (11*t[76])/2 + 
       (11*t[77])/6 + 46*t[78] + t[79] + (167*t[80])/6 + 3*t[81] + 
       (26*t[82])/3 - (427*t[83])/6 + (371*t[84])/6 + (11*t[85])/12 + 
       (525*t[86])/4 - (1069*t[87])/12 - (1069*t[88])/24 + (11*t[89])/4 + 
       t[91]/6 + (19*t[97])/2 + 132*t[98] - 114*t[99] - 44*t[100] + 
       4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(-t[1]/3 - (5*t[2])/3 - (115*t[3])/24 + 
       (17*t[4])/2 + (59*t[5])/6 + (755*t[6])/48 - 46*t[7] + (103*t[8])/3 - 
       (203*t[9])/8 + (53*t[10])/4 - (499*t[11])/48 - (25*t[12])/12 + 
       (133*t[13])/72 + (1027*t[14])/144 + (1135*t[15])/216 + 4*t[28] + 
       (17*t[29])/6 - (14*t[30])/3 - (2*t[31])/3 - 5*t[32] + 5*t[33] - 
       t[34]/3 - 4*t[35] - 6*t[36] - (2*t[38])/3 - t[39]/6 - (5*t[40])/6 - 
       (7*t[43])/3 - (37*t[44])/3 - (7*t[45])/3 + (5*t[47])/3 + 
       (589*t[48])/48 + (49*t[49])/12 - (249*t[50])/16 - (61*t[51])/24 + 
       (811*t[52])/48 - (49*t[53])/12 + (475*t[54])/48 - (16*t[59])/3 - 
       (6725*t[60])/72 - (1025*t[61])/24 + (1327*t[62])/48 - 
       (6929*t[63])/144 + (17353*t[64])/144 - (14081*t[65])/216 + 
       (6691*t[66])/108 + t[68] + (13*t[69])/3 + (77*t[72])/9 - 
       (53*t[73])/2 + 12*t[75] + (61*t[76])/3 + (17*t[77])/6 - (41*t[78])/3 + 
       18*t[79] + (35*t[80])/2 - (148*t[81])/9 + (385*t[82])/18 + 
       (553*t[83])/18 - (2605*t[84])/72 - (1057*t[85])/72 + (79*t[86])/12 + 
       (4231*t[87])/72 + (4231*t[88])/144 - (2141*t[89])/144 + t[91]/6 - 
       2*t[93] - (5*t[97])/3 - 20*t[98] + 60*t[99] - (118*t[100])/3 + 
       4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((-4*t[1])/3 + (8*t[2])/3 + (11*t[3])/24 + 
       (247*t[4])/12 - (333*t[5])/16 + (27*t[6])/4 - (97*t[7])/24 - 
       (59*t[8])/24 + (1447*t[9])/48 - (123*t[10])/8 + (79*t[11])/24 + 
       (575*t[12])/48 - (22*t[13])/27 + (201*t[14])/16 - (621*t[15])/32 - 
       (8*t[27])/3 + (4*t[28])/3 + (8*t[29])/3 - (2*t[30])/3 - 4*t[31] + 
       (2*t[32])/3 - (2*t[33])/3 + (8*t[34])/3 - (2*t[38])/3 + (4*t[39])/3 - 
       (5*t[40])/3 + (5*t[41])/6 - (5*t[42])/6 - (77*t[43])/12 - 
       (14*t[44])/3 - (19*t[45])/6 - 5*t[46] + 8*t[47] + (55*t[48])/12 + 
       (35*t[49])/12 - (3*t[50])/4 - (15*t[51])/8 + (11*t[52])/4 - 
       (35*t[53])/12 + (5*t[54])/4 - 2*t[59] - (769*t[60])/24 + 
       (211*t[61])/8 - (225*t[62])/16 - (891*t[63])/16 + (765*t[64])/16 - 
       (6943*t[65])/72 - (95*t[66])/12 - (7*t[69])/3 + (19*t[72])/3 - 
       (47*t[73])/6 - 10*t[74] + (29*t[75])/3 + (22*t[76])/3 + 14*t[78] + 
       8*t[79] + (8*t[80])/3 - 11*t[81] - (11*t[82])/3 + (63*t[83])/2 - 
       (325*t[84])/12 - (67*t[85])/4 + (151*t[86])/12 + (479*t[87])/12 + 
       (479*t[88])/24 - (295*t[89])/16 + t[91]/6 - (2*t[97])/3 - 20*t[98] + 
       60*t[99] - (118*t[100])/3 + 4*t[102]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-4*t[1])/3 + (89*t[2])/3 + (77*t[3])/3 - (116*t[4])/3 + 
       (353*t[5])/12 - t[6]/24 - (251*t[7])/4 - (59*t[8])/4 - (419*t[9])/12 + 
       2*t[10] - (393*t[11])/8 - t[12]/3 - (427*t[13])/27 - (1403*t[14])/36 - 
       (1967*t[15])/216 - 5*t[20] + 8*t[22] + (77*t[29])/6 - (47*t[30])/3 + 
       t[31] - (23*t[32])/6 + (7*t[33])/3 + (4*t[34])/3 - 4*t[35] - 6*t[36] - 
       2*t[37] - (2*t[38])/3 - (14*t[39])/3 + (5*t[40])/6 - (5*t[41])/3 + 
       (5*t[42])/3 - (9*t[43])/4 - (3*t[44])/2 - (13*t[45])/2 + 2*t[46] + 
       (29*t[47])/3 + (37*t[48])/24 - (101*t[49])/12 - (235*t[50])/24 - 
       (9*t[51])/8 + (89*t[52])/8 + (23*t[53])/4 + (85*t[54])/8 - 
       (8*t[59])/3 - (441*t[60])/4 - (1621*t[61])/12 + 81*t[62] + 
       (475*t[63])/3 + (403*t[64])/8 + (2257*t[65])/18 + (5141*t[66])/36 - 
       2*t[68] - 5*t[69] - t[72] - 34*t[73] - 6*t[75] - 16*t[76] - t[77]/3 + 
       (80*t[78])/3 + 12*t[79] - (86*t[80])/3 - (7*t[81])/3 + (91*t[82])/3 + 
       (89*t[83])/2 - (161*t[84])/12 - (179*t[85])/12 - 32*t[86] + 
       (315*t[87])/4 + (315*t[88])/8 + (161*t[89])/8 - 10*t[96] - 
       (20*t[97])/3 - 260*t[98] + 420*t[99] - 19*t[100] + 4*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (2*t[1] + (137*t[2])/6 + (52*t[3])/3 - (37*t[4])/2 - (515*t[5])/12 - 
       (165*t[6])/8 + (50*t[7])/3 + (115*t[8])/3 + (77*t[9])/2 - 
       (461*t[10])/12 - (1225*t[11])/24 + (13*t[12])/2 - (1465*t[13])/27 + 
       (17*t[14])/12 - (152*t[15])/9 - 2*t[19] + 5*t[21] - t[22] - 5*t[23] - 
       2*t[25] + (8*t[26])/3 + 2*t[27] - 2*t[28] + 3*t[29] - 2*t[30] - 
       2*t[31] + (4*t[32])/3 - (4*t[33])/3 - (2*t[34])/3 - 16*t[35] - 
       2*t[37] + (4*t[39])/3 - (11*t[40])/3 - (17*t[41])/6 + (19*t[42])/6 - 
       (23*t[43])/2 - (5*t[44])/2 + t[45]/2 - 3*t[46] + (17*t[47])/3 + 
       (47*t[48])/24 - (149*t[49])/12 + (115*t[50])/24 + (67*t[51])/24 - 
       (35*t[52])/24 + (149*t[53])/12 + (577*t[54])/24 + (2*t[58])/3 + 
       (8*t[59])/3 + (85*t[60])/4 - (733*t[61])/12 - (527*t[62])/3 - 
       (227*t[63])/3 + (761*t[64])/24 + (3409*t[65])/18 + (4535*t[66])/36 + 
       t[69] + 3*t[72] - 88*t[73] + 14*t[74] + 36*t[75] - (230*t[76])/3 - 
       (19*t[77])/3 + (62*t[78])/3 - 18*t[79] + (263*t[80])/3 + 6*t[81] + 
       (29*t[82])/6 + (27*t[83])/2 + 4*t[84] - (65*t[85])/6 + (499*t[86])/2 - 
       (25*t[87])/3 - (25*t[88])/6 + (355*t[89])/24 + (10*t[97])/3 - 
       260*t[98] + 420*t[99] - 19*t[100] + 4*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-11*t[1])/6 - (51*t[2])/2 + (131*t[3])/6 - (607*t[4])/12 + 
       (775*t[5])/12 - (197*t[6])/12 + (779*t[7])/12 - (475*t[8])/12 + 
       (140*t[9])/3 - (961*t[10])/24 + (11*t[11])/4 - (167*t[12])/8 + 
       (119*t[13])/27 - (4273*t[14])/144 - (2099*t[15])/72 + 2*t[19] + 
       2*t[21] + (23*t[22])/3 - 2*t[23] + 2*t[27] - 4*t[29] - 8*t[30] - 
       10*t[31] + (8*t[32])/3 - (8*t[33])/3 + (32*t[34])/3 + 8*t[35] - 
       2*t[37] - (8*t[38])/3 + (14*t[39])/3 - (14*t[40])/3 - 2*t[41] + 
       2*t[42] + (59*t[43])/12 + 6*t[44] - (91*t[45])/3 + t[46] + 
       (118*t[47])/3 + (119*t[48])/12 + (319*t[49])/24 + (67*t[50])/12 - 
       (295*t[51])/48 + (13*t[52])/12 - (319*t[53])/24 - (37*t[54])/2 + 
       t[56] + (4*t[57])/3 - (4*t[59])/3 - 17*t[60] - (703*t[61])/3 + 
       (53*t[62])/24 + (2675*t[63])/24 - (1643*t[64])/12 + (2075*t[65])/36 + 
       (485*t[66])/9 - 7*t[69] - 7*t[72] + 10*t[73] + 12*t[74] - 62*t[75] + 
       (76*t[76])/3 - (4*t[77])/3 - (334*t[78])/3 + 16*t[79] + 
       (113*t[80])/3 + 2*t[81] + (101*t[82])/6 - (21*t[83])/2 + t[84]/4 + 
       (665*t[85])/12 - (75*t[86])/2 - (583*t[87])/12 - (583*t[88])/24 + 
       (131*t[89])/12 - t[91]/3 + (10*t[97])/3 + 388*t[98] - 428*t[99] + 
       33*t[100] + 4*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-7*t[1])/3 - (26*t[2])/3 + (7*t[3])/3 - 
       (5*t[4])/4 - (115*t[5])/12 - (83*t[6])/4 + 137*t[7] - (430*t[8])/3 + 
       (731*t[9])/4 + (469*t[10])/24 + (101*t[11])/4 - (157*t[12])/24 - 
       (767*t[13])/36 + (3815*t[14])/144 - (2885*t[15])/54 - 2*t[20] + 
       2*t[22] + 2*t[27] + 2*t[28] + (35*t[29])/2 - (7*t[30])/6 + 4*t[31] + 
       (32*t[32])/3 - (67*t[33])/6 + (10*t[34])/3 + 20*t[35] + 2*t[37] - 
       (8*t[38])/3 + (25*t[39])/6 - (55*t[40])/6 + t[41] - t[42] + 
       (3*t[43])/2 + (57*t[44])/2 - (43*t[45])/3 + (56*t[47])/3 - 
       (215*t[48])/12 + (595*t[49])/24 + (217*t[50])/12 - (623*t[51])/48 - 
       (51*t[52])/4 - (595*t[53])/24 - 41*t[54] + (14*t[59])/3 + 
       (2471*t[60])/12 - (61*t[61])/4 - (2077*t[62])/12 + (817*t[63])/12 - 
       (8957*t[64])/24 - (305*t[65])/18 - (9043*t[66])/36 + 2*t[69] - 
       6*t[72] + 38*t[73] - 54*t[75] + (32*t[76])/3 + 4*t[77] - 
       (166*t[78])/3 - 18*t[79] - 31*t[80] + (95*t[81])/3 - (116*t[82])/3 - 
       80*t[83] + (559*t[84])/12 + (201*t[85])/4 + (19*t[86])/2 - 
       (2249*t[87])/12 - (2249*t[88])/24 + (691*t[89])/24 - t[91]/3 + 
       4*t[93] + (16*t[97])/3 + 388*t[98] - 428*t[99] + 33*t[100] + 
       4*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-3*t[59])/2 + (91*t[60])/24 - (741*t[61])/8 - 
       (591*t[62])/16 - (1751*t[63])/48 + (4243*t[64])/48 + (2611*t[65])/72 + 
       (215*t[66])/72 + t[68] + 2*t[69] + (8*t[72])/3 - 5*t[73] - 32*t[74] + 
       51*t[75] + 12*t[76] + (7*t[77])/2 + 43*t[78] + 4*t[79] + t[80]/2 + 
       (17*t[81])/3 + (13*t[82])/6 - (58*t[83])/3 + (119*t[84])/24 + 
       (359*t[85])/24 + (287*t[86])/4 - (245*t[87])/24 - (245*t[88])/48 + 
       (2125*t[89])/48 + t[91]/6 + 16*t[98] - 40*t[99] + 102*t[100] + 
       4*t[102]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((5*t[1])/6 - (97*t[2])/12 + (47*t[3])/24 + 
       (1457*t[4])/24 + (307*t[5])/48 + (107*t[6])/4 - (101*t[7])/8 - 
       (1159*t[8])/24 - (587*t[9])/48 + (589*t[10])/48 + (1481*t[11])/24 - 
       (161*t[12])/12 + (1399*t[13])/36 + (1709*t[14])/32 + (989*t[15])/96 - 
       (4*t[16])/3 - t[17] - (8*t[18])/3 - (8*t[21])/3 + t[22]/3 + 
       (8*t[23])/3 + (38*t[25])/3 + (4*t[26])/3 + (4*t[27])/3 + 12*t[28] - 
       2*t[29] - (7*t[32])/3 + (7*t[33])/3 - (32*t[34])/3 - 8*t[35] - 
       (23*t[36])/3 - 2*t[37] + (4*t[38])/3 + (35*t[39])/3 + (4*t[40])/3 + 
       (3*t[41])/2 - (17*t[42])/6 + (145*t[43])/12 + (40*t[44])/3 + 
       (39*t[45])/4 + (23*t[46])/6 - (193*t[47])/6 + (8*t[48])/3 - 
       (287*t[49])/48 - (41*t[50])/3 - (149*t[51])/32 + (29*t[52])/3 + 
       (239*t[53])/48 + (9*t[54])/8 - (2*t[58])/3 + 7*t[59] + 
       (2111*t[60])/24 + (423*t[61])/8 + (753*t[62])/16 + (1199*t[63])/16 - 
       (6467*t[64])/48 - (12845*t[65])/72 - (3605*t[66])/24 + (4*t[67])/3 + 
       4*t[68] - 6*t[69] + (16*t[70])/3 - (16*t[71])/3 - 6*t[72] + 40*t[73] + 
       (80*t[74])/3 - 44*t[75] + (62*t[76])/3 + (8*t[77])/3 - 33*t[78] - 
       6*t[79] - (20*t[80])/3 + (28*t[81])/3 - (51*t[82])/2 - 87*t[83] + 
       (733*t[84])/24 - (115*t[85])/24 - (193*t[86])/2 - (1709*t[87])/24 - 
       (1709*t[88])/48 - (321*t[89])/16 - t[91]/6 + (4*t[92])/3 - 
       (4*t[94])/3 - t[97] + 136*t[98] - 92*t[99] - 424*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((7*t[1])/6 - (85*t[2])/12 - (589*t[3])/12 + (479*t[4])/24 - 
       (773*t[5])/48 + (829*t[6])/24 + (1963*t[7])/24 + (297*t[8])/8 + 
       (4049*t[9])/48 - (2449*t[10])/48 + (1571*t[11])/24 - (215*t[12])/24 + 
       (10027*t[13])/432 + (15061*t[14])/288 + (763*t[15])/864 + t[17]/3 - 
       2*t[20] - (20*t[27])/3 + 10*t[28] - (17*t[29])/6 - (50*t[30])/3 + 
       (28*t[32])/3 - (5*t[33])/3 - (13*t[34])/3 + 6*t[35] + 3*t[36] - 
       (2*t[37])/3 + 2*t[38] + 5*t[39] - (13*t[40])/6 + (5*t[41])/3 - 
       (5*t[42])/3 + (71*t[43])/12 + (26*t[44])/3 - (5*t[45])/2 - 
       (23*t[46])/6 + 16*t[47] + (175*t[48])/12 + (179*t[49])/48 + 
       (37*t[50])/6 + (109*t[51])/96 - (41*t[52])/6 - (179*t[53])/48 + 
       (181*t[54])/24 - (2*t[55])/3 + 5*t[59] + (2513*t[60])/24 + 
       (4189*t[61])/24 - (1973*t[62])/16 - (3881*t[63])/48 - 
       (1811*t[64])/48 - (377*t[65])/72 - (3557*t[66])/24 + (22*t[68])/3 + 
       (8*t[70])/3 - (8*t[71])/3 - 6*t[72] + 44*t[73] + 4*t[74] - 48*t[75] - 
       3*t[76] + (5*t[77])/3 + (8*t[78])/3 + 7*t[79] + 50*t[80] + 2*t[81] - 
       21*t[82] - 54*t[83] + (1277*t[84])/24 - (11*t[85])/24 + 
       (221*t[86])/3 - (1279*t[87])/24 - (165*t[88])/16 + (1487*t[89])/48 - 
       (20*t[95])/3 - (8*t[96])/3 + t[97]/3 + 136*t[98] - 92*t[99] - 
       424*t[100] + 6*t[102]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-11*t[1])/3 + 4*t[2] - (917*t[3])/48 + 
       (167*t[4])/24 - (5687*t[5])/96 - (257*t[6])/24 + (2399*t[7])/48 - 
       (943*t[8])/48 + (7775*t[9])/96 + (303*t[10])/16 + (331*t[11])/16 + 
       (569*t[12])/32 + (13385*t[13])/432 + (4447*t[14])/288 - 
       (7981*t[15])/576 - (2*t[18])/3 + 3*t[19] - 3*t[21] + (11*t[22])/3 + 
       3*t[23] + 3*t[29] + 3*t[30] + 12*t[31] + (8*t[32])/3 + (2*t[34])/3 + 
       12*t[35] - 9*t[37] + (11*t[41])/4 - (37*t[42])/12 - (229*t[43])/24 + 
       12*t[44] - (59*t[45])/6 + t[46]/3 + (32*t[47])/3 - (53*t[48])/2 - 
       (29*t[49])/4 + (15*t[50])/2 - (25*t[51])/8 - (15*t[52])/2 + 
       (29*t[53])/4 - t[54] - (40*t[59])/3 + (2381*t[60])/24 + 
       (203*t[61])/24 - (4757*t[62])/48 - (1385*t[63])/16 - (4535*t[64])/48 - 
       (611*t[65])/24 - (11407*t[66])/72 + 6*t[69] + 6*t[73] + (31*t[74])/3 - 
       33*t[75] + 12*t[76] - (3*t[77])/2 - 27*t[78] - 15*t[79] + 
       (32*t[80])/3 - (20*t[81])/3 - (35*t[82])/3 + 32*t[83] - (23*t[84])/2 + 
       (81*t[85])/2 + 26*t[86] - (55*t[87])/2 - (55*t[88])/4 + 
       (1417*t[89])/48 + 204*t[98] - 168*t[99] - 183*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (3*t[1] - (29*t[2])/4 - (365*t[3])/48 - 5*t[4] - (39*t[5])/2 + 
       (3347*t[6])/96 + 28*t[7] + (219*t[8])/4 + (2735*t[9])/48 - 34*t[10] + 
       (2701*t[11])/96 + (5*t[12])/12 + (1327*t[13])/48 + (18845*t[14])/288 + 
       (3205*t[15])/216 + 3*t[19] + 3*t[20] - 3*t[22] - (2*t[23])/3 - 
       (263*t[29])/24 + (9*t[30])/2 + (2*t[32])/3 - t[33]/3 + (25*t[34])/6 + 
       3*t[36] - 9*t[37] - (5*t[39])/3 + (5*t[40])/2 + (3*t[41])/2 - 
       (3*t[42])/2 + 3*t[43] - (137*t[44])/4 - (3*t[46])/2 + 
       (1357*t[48])/96 - (29*t[49])/2 - (947*t[50])/96 + (31*t[51])/8 + 
       (947*t[52])/96 + (107*t[53])/6 + (3179*t[54])/96 - (2*t[59])/3 + 
       (5921*t[60])/48 - (367*t[61])/16 - (2299*t[62])/48 - (6953*t[63])/48 - 
       (14501*t[64])/96 - (5441*t[65])/72 - (15805*t[66])/144 + 3*t[69] - 
       12*t[73] + (29*t[74])/3 - 6*t[75] + (68*t[76])/3 + (9*t[77])/2 - 
       32*t[78] + 9*t[79] + 33*t[80] - (37*t[81])/6 - (7*t[82])/6 - 
       53*t[83] + (239*t[84])/48 + (1103*t[85])/48 + 7*t[86] - 
       (2477*t[87])/48 - (2477*t[88])/96 + (5437*t[89])/96 - (40*t[95])/3 + 
       204*t[98] - 168*t[99] - 174*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      ((13*t[1])/4 - (23*t[2])/4 + (55*t[3])/2 - (41*t[4])/2 - 
       (285*t[5])/16 - (313*t[6])/16 + (231*t[7])/4 - (105*t[8])/2 + 
       (253*t[9])/16 - (207*t[10])/4 + (603*t[11])/16 + (445*t[12])/16 - 
       (1213*t[13])/72 + (389*t[14])/12 + (1837*t[15])/288 - 5*t[17] + 
       4*t[18] - 2*t[19] + 4*t[20] + 6*t[21] - 9*t[22] - 4*t[23] + 2*t[24] + 
       4*t[25] - (13*t[26])/2 - 6*t[27] - 4*t[28] + (11*t[29])/2 + 11*t[30] + 
       2*t[31] - 2*t[32] - 6*t[33] + (9*t[34])/2 - 8*t[35] + t[36] - 
       6*t[37] + 2*t[38] - 4*t[39] + (17*t[40])/2 - (13*t[41])/4 + 
       (21*t[42])/4 - (77*t[43])/8 - (7*t[44])/4 - (145*t[45])/4 - 2*t[46] + 
       (63*t[47])/2 - (139*t[48])/16 + (7*t[49])/4 - (127*t[50])/16 + 
       (37*t[51])/8 - (121*t[52])/16 - (7*t[53])/4 + (239*t[54])/16 - 
       (3*t[56])/2 + 4*t[57] - t[58]/2 - 16*t[59] + (745*t[60])/8 + 
       (411*t[61])/8 - (1247*t[62])/16 + (1511*t[63])/16 - (861*t[64])/16 + 
       (257*t[65])/8 + (1183*t[66])/24 - (5*t[68])/2 - 6*t[70] + 6*t[71] + 
       4*t[72] - 68*t[73] - 2*t[74] + 72*t[75] - (9*t[76])/2 - 7*t[77] + 
       13*t[78] + 4*t[79] + 55*t[80] - (3*t[81])/2 + 18*t[82] - 28*t[83] - 
       (27*t[84])/8 - (95*t[85])/8 - (329*t[87])/8 - (329*t[88])/16 - 
       (395*t[89])/16 - t[90]/2 + t[91]/6 + 3*t[97] + 48*t[98] + 12*t[99] - 
       123*t[100] + 6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 
       1 - v]*((3*t[1])/2 + (139*t[2])/4 + (115*t[3])/8 + (37*t[4])/2 + 
       (131*t[5])/8 - (107*t[6])/4 + (943*t[7])/8 + (117*t[8])/8 + 
       (19*t[9])/4 + (21*t[10])/8 + (477*t[11])/8 - (69*t[12])/8 + 
       (2509*t[13])/144 + (89*t[14])/6 + (1385*t[15])/144 - (5*t[17])/2 - 
       2*t[19] - 4*t[20] - 2*t[21] + 8*t[22] + 2*t[23] - 5*t[24] + 4*t[27] - 
       18*t[28] + (15*t[29])/2 - 9*t[30] - 2*t[31] - (5*t[32])/2 - 21*t[33] - 
       t[34] + 14*t[35] - t[36] - 2*t[37] + (3*t[38])/2 + 12*t[39] - 
       (21*t[40])/2 - (5*t[41])/2 + (5*t[42])/2 - (29*t[43])/8 + t[44]/4 - 
       27*t[45] - t[46]/2 + 38*t[47] - (79*t[48])/8 - t[49]/4 - 
       (135*t[50])/8 + (3*t[51])/2 + (39*t[52])/8 + (41*t[53])/4 - 
       (167*t[54])/8 + t[56] + 2*t[57] - (37*t[59])/4 + (5*t[60])/4 - 
       (51*t[61])/2 - (723*t[62])/4 - (497*t[63])/4 + (225*t[64])/4 - 
       2*t[65] - (517*t[66])/12 + (9*t[68])/2 - 4*t[70] + 4*t[71] + 
       16*t[72] - 58*t[73] + 3*t[74] + 62*t[75] + (9*t[76])/2 + t[77] - 
       (11*t[78])/2 - 20*t[79] + 5*t[80] - 6*t[81] + 13*t[82] - 10*t[83] - 
       24*t[84] - (71*t[85])/2 + (343*t[86])/2 + (5*t[87])/2 - (55*t[88])/4 - 
       (23*t[89])/2 - t[90]/2 + t[91]/6 + 2*t[95] + 15*t[96] + (11*t[97])/2 + 
       48*t[98] + 12*t[99] - 123*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((11*t[1])/2 + t[2]/4 + (67*t[3])/8 - 22*t[4] - (363*t[5])/16 + 
       (397*t[6])/16 - (291*t[7])/8 + (855*t[8])/8 + (89*t[9])/16 + 
       (193*t[10])/8 - (773*t[11])/16 + (255*t[12])/16 + (233*t[13])/144 - 
       (165*t[14])/4 - (4181*t[15])/288 - 8*t[26] + 9*t[27] - 12*t[28] - 
       t[29] + 3*t[30] + 7*t[31] - t[32] + t[33] + 2*t[34] + 6*t[35] + 
       t[36] + 7*t[38] - t[40]/2 - t[41] + t[42] - (43*t[43])/4 - 
       (17*t[44])/2 + (13*t[45])/2 - 14*t[47] + (289*t[48])/16 - 36*t[49] - 
       (315*t[50])/16 + (75*t[51])/4 + (347*t[52])/16 + 32*t[53] + 
       (655*t[54])/16 - 6*t[59] - (775*t[60])/8 - (849*t[61])/8 - 
       (235*t[62])/16 - (749*t[63])/16 + (855*t[64])/16 + (583*t[65])/8 + 
       (185*t[66])/8 - 4*t[68] + 7*t[72] - 48*t[73] + 52*t[75] - 
       (47*t[76])/2 + t[77] + 44*t[78] - 4*t[79] - 58*t[80] - (45*t[81])/2 + 
       (45*t[82])/2 + 26*t[83] - (169*t[84])/8 - (43*t[85])/8 + 56*t[86] + 
       (623*t[87])/8 + (623*t[88])/16 + (391*t[89])/16 - 4*t[96] - 4*t[97] - 
       276*t[98] + 528*t[99] - 83*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (-17*t[1] - (53*t[2])/4 - (31*t[3])/4 + (99*t[4])/4 + (9*t[5])/4 + 
       (249*t[6])/4 - 13*t[7] + (407*t[8])/4 + 64*t[9] - (111*t[10])/8 - 
       (219*t[11])/4 + (383*t[12])/8 - (1909*t[13])/36 + (249*t[14])/16 + 
       (181*t[15])/12 - t[16] + 2*t[25] - 10*t[27] - 16*t[28] + 
       (21*t[29])/2 + 11*t[30] + t[32] - t[33] - t[34] - 8*t[35] + 5*t[36] + 
       2*t[37] - 18*t[38] - 13*t[39] + t[41]/2 - t[42]/2 - 5*t[43] - 
       20*t[44] + (9*t[45])/4 + (13*t[46])/2 - (7*t[47])/2 + (133*t[48])/4 - 
       (71*t[49])/8 - (75*t[50])/4 - (123*t[51])/16 + (95*t[52])/4 + 
       (71*t[53])/8 + 46*t[54] + t[58] + (13*t[59])/2 - (71*t[60])/4 + 
       (573*t[61])/4 + 83*t[62] + 30*t[63] - (3075*t[64])/8 + 
       (995*t[65])/12 + (2791*t[66])/12 + (9*t[68])/2 + 16*t[69] - 2*t[72] - 
       70*t[73] - 22*t[74] + 74*t[75] - (131*t[76])/2 + (23*t[77])/2 + 
       83*t[78] + 4*t[79] - 38*t[80] - (45*t[81])/2 - t[82]/2 - 28*t[83] - 
       (33*t[84])/4 - 49*t[85] - (195*t[86])/2 + (11*t[87])/2 + 
       (11*t[88])/4 + (183*t[89])/4 + (3*t[90])/2 + t[91]/6 + 2*t[93] - 
       t[97] - 276*t[98] + 528*t[99] - 83*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-9*t[1])/2 + (11*t[2])/4 - (23*t[3])/2 - (31*t[4])/2 - 
       (113*t[5])/16 + (151*t[6])/16 + (291*t[7])/8 + (207*t[8])/8 + 
       (1035*t[9])/16 + (279*t[10])/8 + (933*t[11])/16 + (573*t[12])/16 - 
       (1337*t[13])/144 + (767*t[14])/12 + (4619*t[15])/288 - 3*t[17] + 
       2*t[19] - 4*t[20] - 14*t[21] + 5*t[22] + 14*t[23] - 12*t[24] - 
       8*t[28] + (5*t[29])/2 - 8*t[30] - 10*t[31] - 5*t[32] - 5*t[33] - 
       7*t[34] + 8*t[35] - t[36] - 6*t[37] - t[39] - t[40] + (9*t[41])/2 - 
       5*t[42] + (17*t[43])/2 - (13*t[44])/4 - 15*t[45] - (3*t[46])/2 + 
       23*t[47] - (97*t[48])/16 - t[49] + (195*t[50])/16 + (5*t[51])/2 - 
       (227*t[52])/16 + t[53] - (219*t[54])/16 + t[56]/2 + 4*t[57] + 
       12*t[59] + (213*t[60])/8 + (427*t[61])/8 - (509*t[62])/16 - 
       (315*t[63])/16 - (1413*t[64])/16 + (79*t[65])/8 - (631*t[66])/8 - 
       t[68]/2 + 16*t[69] + 8*t[72] - 38*t[73] - 8*t[74] + 28*t[75] - 
       35*t[76] + 4*t[77] + 38*t[78] + 6*t[79] - 12*t[80] - 5*t[81] - 
       3*t[82] + (15*t[84])/8 - (201*t[85])/8 + 7*t[86] + (49*t[87])/8 + 
       (49*t[88])/16 - (7*t[89])/16 - t[90]/2 + t[91]/6 - 180*t[98] + 
       320*t[99] - 67*t[100] + 6*t[102]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*(-t[1]/2 - (37*t[2])/4 + 
       34*t[3] - (9*t[4])/2 - t[5]/8 + (291*t[6])/8 + (277*t[7])/8 + 
       (211*t[8])/8 + (13*t[9])/4 - (329*t[10])/8 - (77*t[11])/4 + 
       (189*t[12])/8 - (2693*t[13])/144 - (605*t[14])/24 + (473*t[15])/24 - 
       (3*t[17])/2 + (10*t[19])/3 + 14*t[20] + 2*t[21] - 14*t[22] - 2*t[23] - 
       3*t[24] - 6*t[28] - 2*t[29] + 14*t[30] - 4*t[31] - 13*t[32] + 
       13*t[33] - 10*t[34] + 2*t[35] - 3*t[36] - 10*t[37] - 11*t[39] + 
       4*t[40] - (3*t[43])/8 + (33*t[44])/2 - 28*t[45] - t[46]/2 + 21*t[47] + 
       (81*t[48])/4 - (9*t[49])/2 + (57*t[50])/4 + (29*t[51])/4 - 
       (61*t[52])/4 + (9*t[53])/2 + (143*t[54])/4 - 2*t[57] + 14*t[59] - 
       (331*t[60])/4 + (153*t[61])/4 + (29*t[62])/2 - 24*t[63] - 
       (1025*t[64])/8 + (357*t[65])/4 + (759*t[66])/4 + (9*t[68])/2 + 
       12*t[69] + 4*t[72] - 60*t[73] - 10*t[74] + 58*t[75] - (81*t[76])/2 - 
       t[77]/2 + 38*t[78] + 30*t[79] + 22*t[80] - (41*t[81])/2 + 
       (49*t[82])/2 - 2*t[83] - (59*t[84])/4 - (63*t[85])/2 + (43*t[86])/2 + 
       62*t[87] + 35*t[88] + (47*t[89])/2 - t[90]/2 + t[91]/6 - 4*t[95] - 
       180*t[98] + 320*t[99] - 67*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-13*t[1])/6 + (15*t[2])/4 - (47*t[3])/8 - (159*t[4])/8 - 
       (1583*t[5])/16 - (47*t[6])/3 + (903*t[7])/8 - (605*t[8])/8 + 
       (10933*t[9])/48 + (3499*t[10])/48 + (359*t[11])/8 + (571*t[12])/8 + 
       (335*t[13])/8 + (11257*t[14])/96 - (6703*t[15])/96 + (4*t[16])/3 - 
       (2*t[17])/3 + (4*t[18])/3 + 2*t[20] + (4*t[21])/3 + 3*t[22] - 
       (4*t[23])/3 + (4*t[24])/3 - (10*t[25])/3 + (32*t[26])/3 + 
       (34*t[27])/3 + 12*t[28] - 16*t[30] + 18*t[31] + (25*t[32])/3 - 
       5*t[33] + (76*t[34])/3 + 34*t[35] + (23*t[36])/3 - 4*t[37] + 
       (2*t[38])/3 + 15*t[39] - (52*t[40])/3 - (13*t[41])/6 + (17*t[42])/6 - 
       (263*t[43])/12 + (22*t[44])/3 - (41*t[45])/12 - (17*t[46])/2 + 
       (193*t[47])/6 - (143*t[48])/6 - (39*t[49])/16 - (13*t[50])/6 - 
       (365*t[51])/96 + (145*t[52])/6 + (23*t[53])/16 + (79*t[54])/8 + 
       (2*t[56])/3 + (2*t[58])/3 - 15*t[59] + (617*t[60])/24 + 
       (373*t[61])/8 - (3929*t[62])/16 + (713*t[63])/16 - (5681*t[64])/48 + 
       (6457*t[65])/72 - (1677*t[66])/8 - (2*t[67])/3 - 2*t[68] - 8*t[69] - 
       (8*t[70])/3 + (8*t[71])/3 + 8*t[72] + 40*t[73] - (64*t[74])/3 - 
       60*t[75] + (194*t[76])/3 + (38*t[77])/3 - 75*t[78] + 2*t[79] - 
       (152*t[80])/3 + (25*t[81])/3 - (23*t[82])/2 - 32*t[83] - 
       (101*t[84])/24 + (1703*t[85])/24 + (65*t[86])/2 - (1895*t[87])/24 - 
       (1895*t[88])/48 + (765*t[89])/16 - t[91]/6 - (2*t[92])/3 + 2*t[93] + 
       (2*t[94])/3 + 3*t[97] + 472*t[98] - 500*t[99] + 12*t[100] + 
       6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-6*t[1] + (29*t[2])/2 + 70*t[3] + 
       (219*t[4])/4 - (213*t[5])/16 + (187*t[6])/16 + (27*t[7])/2 - 
       (267*t[8])/4 - (659*t[9])/16 + (183*t[10])/8 - (881*t[11])/16 - 
       (305*t[12])/16 - (1547*t[13])/36 - (2239*t[14])/48 - 
       (1739*t[15])/288 - 3*t[17] - t[18] + 2*t[19] + 16*t[20] - 10*t[21] - 
       30*t[22] + 14*t[23] - 18*t[24] - 4*t[25] + 4*t[26] - 6*t[27] - 
       16*t[28] + (5*t[29])/2 - 11*t[30] + 4*t[31] - t[32] - 9*t[33] - 
       14*t[34] + 6*t[35] - 5*t[36] - 6*t[37] - t[38] - 3*t[39] + t[40]/2 - 
       11*t[41] + (21*t[42])/2 + (49*t[43])/8 + (7*t[44])/4 - (67*t[45])/4 - 
       4*t[46] - (199*t[48])/16 + (7*t[49])/8 + (61*t[50])/16 + 
       (25*t[51])/16 - (61*t[52])/16 - (7*t[53])/8 - (25*t[54])/16 - 
       (7*t[56])/2 + 8*t[57] - 2*t[58] - (11*t[59])/4 + (39*t[60])/8 - 
       (583*t[61])/8 - (157*t[62])/16 - (475*t[63])/16 - (3783*t[64])/16 - 
       (563*t[65])/24 + (3709*t[66])/24 + (3*t[68])/2 + 4*t[69] + 14*t[70] - 
       14*t[71] + 18*t[72] - 50*t[73] - 2*t[74] + 52*t[75] - (75*t[76])/2 - 
       t[77] + (81*t[78])/2 - 12*t[79] - 20*t[80] - 11*t[81] - (17*t[82])/2 - 
       16*t[83] + (31*t[84])/8 - (169*t[85])/8 + 54*t[86] - (31*t[87])/8 - 
       (31*t[88])/16 - (57*t[89])/16 - t[90]/2 + t[91]/6 + 2*t[93] - 
       t[97]/2 - 204*t[98] + 312*t[99] + 43*t[100] + 6*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (2*t[1] + (143*t[2])/4 - (251*t[3])/8 + (25*t[4])/4 + (301*t[5])/8 + 
       16*t[6] + (293*t[7])/8 - (57*t[8])/8 + (73*t[9])/4 + (31*t[10])/4 + 
       (379*t[11])/8 + 22*t[12] + (3557*t[13])/144 + (167*t[14])/16 + 
       (455*t[15])/48 - (3*t[17])/2 + 2*t[19] + 10*t[20] + 2*t[21] - 
       8*t[22] - 2*t[23] - 5*t[24] - 8*t[27] - 10*t[28] - 17*t[29] - 
       (95*t[30])/2 + 4*t[31] + 10*t[32] + 2*t[33] + 5*t[34] + 2*t[35] - 
       7*t[36] + 2*t[37] + t[38] - (23*t[39])/2 + (5*t[40])/2 + 3*t[41] - 
       3*t[42] + (17*t[43])/8 - (43*t[44])/4 - (37*t[45])/2 - (11*t[46])/2 + 
       (25*t[47])/2 - (149*t[48])/8 - (45*t[49])/8 + (3*t[50])/8 + 
       (147*t[51])/16 + (45*t[52])/8 + (45*t[53])/8 - (75*t[54])/8 - t[56] - 
       2*t[57] - (27*t[59])/4 + (193*t[60])/2 - (173*t[61])/4 - 
       (499*t[62])/8 - (1121*t[63])/8 - (1253*t[64])/8 + (19*t[65])/4 - 
       (142*t[66])/3 + (9*t[68])/2 + 4*t[69] + 4*t[70] - 4*t[71] + 20*t[72] - 
       62*t[73] - 7*t[74] + 70*t[75] - (73*t[76])/2 + 6*t[77] + 
       (51*t[78])/2 + 4*t[79] - 7*t[80] - 12*t[81] + (37*t[82])/2 - 
       28*t[83] + (15*t[84])/4 - (47*t[85])/4 + t[86]/2 + (27*t[87])/4 + 
       (179*t[88])/8 + (83*t[89])/8 - t[90]/2 + t[91]/6 + 2*t[93] - 
       10*t[95] - 4*t[96] + (7*t[97])/2 - 204*t[98] + 312*t[99] + 43*t[100] + 
       6*t[102]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-43*t[1])/6 + (47*t[2])/12 - (57*t[3])/8 - 
       (523*t[4])/24 + (187*t[5])/48 + (1529*t[6])/48 + (751*t[7])/24 - 
       (35*t[8])/8 + (3271*t[9])/48 - (143*t[10])/48 - (2449*t[11])/48 + 
       (23*t[12])/4 - (11371*t[13])/432 + (2959*t[14])/96 - 
       (11473*t[15])/864 + 2*t[20] - (10*t[24])/3 - (4*t[27])/3 - 6*t[28] + 
       (2*t[29])/3 - (32*t[30])/3 + (4*t[31])/3 - (2*t[32])/3 - 4*t[33] + 
       (46*t[34])/3 + 14*t[35] + 7*t[36] + (34*t[37])/3 - (8*t[38])/3 - 
       (8*t[39])/3 - t[40]/2 - (2*t[41])/3 + (2*t[42])/3 + (55*t[43])/12 - 
       (17*t[44])/6 - (27*t[45])/2 - t[46]/6 + 15*t[47] - (25*t[48])/16 + 
       (425*t[49])/48 - (277*t[50])/16 - (833*t[51])/96 + (341*t[52])/16 - 
       (425*t[53])/48 + (1309*t[54])/48 + (2*t[55])/3 - (10*t[59])/3 - 
       (277*t[60])/6 - (533*t[61])/3 + (601*t[62])/12 + (233*t[63])/12 - 
       (377*t[64])/4 + (245*t[65])/18 + (1753*t[66])/18 + 4*t[68] + 
       10*t[69] - (4*t[70])/3 + (4*t[71])/3 - 16*t[72] + 32*t[73] - 
       44*t[75] + (86*t[76])/3 + (10*t[77])/3 - (124*t[78])/3 + t[79] + 
       (20*t[80])/3 - (20*t[81])/3 + 10*t[82] - 38*t[83] - (91*t[84])/12 + 
       (365*t[85])/12 - (89*t[86])/3 - (149*t[87])/12 - (63*t[88])/8 + 
       (617*t[89])/12 - (8*t[95])/3 + (4*t[96])/3 + (2*t[97])/3 + 332*t[98] - 
       360*t[99] + 92*t[100] + 6*t[102]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((-41*t[1])/6 + (37*t[2])/6 + 
       (3547*t[3])/48 + (257*t[4])/6 + (477*t[5])/32 - (763*t[6])/16 - 
       (713*t[7])/48 - (4267*t[8])/48 - (5539*t[9])/96 + (141*t[10])/4 + 
       (145*t[11])/6 + (91*t[12])/96 - (538*t[13])/27 - (1903*t[14])/24 - 
       (1273*t[15])/192 - 4*t[18] - 6*t[19] - 2*t[20] - 10*t[21] - 
       (27*t[22])/2 + 10*t[23] - 20*t[24] - 4*t[25] + 4*t[26] + t[27]/3 - 
       (2*t[28])/3 + (13*t[29])/6 - (47*t[30])/3 + 6*t[31] - (19*t[32])/3 + 
       t[33]/3 - (79*t[34])/3 - 10*t[35] - 5*t[36] + 2*t[37] + (4*t[38])/3 - 
       (17*t[39])/3 + (16*t[40])/3 - (7*t[41])/6 + t[42]/6 + (181*t[43])/12 + 
       (49*t[44])/12 - (29*t[45])/12 - 3*t[46] - (47*t[47])/2 - 
       (1631*t[48])/48 + (353*t[49])/48 + (47*t[50])/16 - (151*t[51])/32 - 
       (111*t[52])/16 - (353*t[53])/48 - (797*t[54])/16 - (3*t[56])/2 + 
       4*t[57] - 2*t[58] + 8*t[59] - (385*t[60])/6 - (664*t[61])/3 + 
       (10*t[62])/3 - (673*t[63])/6 - (615*t[64])/4 - (2081*t[65])/72 + 
       (1781*t[66])/72 + (3*t[68])/2 + 8*t[69] + 8*t[70] - 8*t[71] + 
       9*t[72] - 38*t[73] - 24*t[74] + 24*t[75] - (98*t[76])/3 + 
       (43*t[77])/2 + (17*t[78])/3 - 2*t[79] - (347*t[80])/6 - 10*t[81] + 
       (49*t[82])/4 + 23*t[83] - (59*t[84])/4 + (377*t[85])/12 + 
       (167*t[86])/2 + (77*t[87])/3 + (77*t[88])/6 + (137*t[89])/8 - 
       t[90]/2 + t[91]/6 - (5*t[97])/3 - 122*t[98] + 102*t[99] + 147*t[100] + 
       6*t[102]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((13*t[1])/6 + (7*t[2])/3 + (2383*t[3])/48 - 
       (57*t[4])/8 + (1013*t[5])/24 + (1579*t[6])/96 - (63*t[7])/8 + 
       (2855*t[8])/24 - (959*t[9])/16 - (671*t[10])/16 + (1945*t[11])/96 + 
       (911*t[12])/48 + (979*t[13])/36 - (1859*t[14])/36 + (5945*t[15])/432 - 
       (3*t[17])/2 + (10*t[19])/3 + 4*t[21] - 4*t[23] - 7*t[24] + t[26] - 
       2*t[27] - 4*t[28] - (125*t[29])/12 - (38*t[30])/3 - (32*t[31])/3 + 
       (19*t[32])/2 + (15*t[33])/2 - (149*t[34])/6 - 4*t[35] + 4*t[36] - 
       4*t[37] + (7*t[38])/3 - (31*t[39])/6 + (2*t[40])/3 + 2*t[41] - t[42] + 
       (79*t[43])/24 + (85*t[44])/6 - (49*t[45])/3 - (7*t[46])/2 + 
       (74*t[47])/3 + (2489*t[48])/96 - (665*t[49])/48 - (453*t[50])/32 + 
       (953*t[51])/96 + (1295*t[52])/96 + (665*t[53])/48 - (757*t[54])/96 - 
       2*t[57] + (17*t[59])/3 - (2621*t[60])/48 - (299*t[61])/16 + 
       (911*t[62])/96 - (7557*t[63])/32 - (7457*t[64])/96 + 
       (22441*t[65])/144 + (3769*t[66])/48 + (13*t[68])/2 + 6*t[69] + 
       2*t[70] - 2*t[71] + 17*t[72] - 66*t[73] - 17*t[74] + 86*t[75] - 
       (283*t[76])/6 + (23*t[77])/6 + (173*t[78])/3 - 19*t[79] + 60*t[80] - 
       (149*t[81])/6 + (58*t[82])/3 - 51*t[83] + (353*t[84])/48 - 
       (1463*t[85])/48 + (199*t[86])/6 + (1443*t[87])/16 + (2083*t[88])/32 + 
       (5989*t[89])/96 - t[90]/2 + t[91]/6 - 8*t[95] - 4*t[96] + 
       (7*t[97])/3 - 122*t[98] + 102*t[99] + 147*t[100] + 6*t[102]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((103*t[1])/18 + (439*t[2])/18 + (955*t[3])/144 - (5639*t[4])/144 + 
       (373*t[5])/64 + (6883*t[6])/192 - (7513*t[7])/288 + (39457*t[8])/288 + 
       (12409*t[9])/576 + (609*t[10])/32 - (92215*t[11])/576 - 
       (16009*t[12])/576 - (321293*t[13])/2592 + (2789*t[14])/288 + 
       (57035*t[15])/3456 - (8*t[17])/3 - (10*t[19])/3 - 18*t[20] + 6*t[21] + 
       (93*t[22])/4 - (17*t[23])/3 - (8*t[24])/3 + (31*t[27])/9 - 
       (8*t[28])/9 + (1187*t[29])/36 - (289*t[30])/72 - (64*t[31])/3 + 
       (1087*t[32])/72 - (799*t[33])/72 + (389*t[34])/36 - 33*t[35] - 
       10*t[36] + (4*t[37])/3 - (32*t[38])/9 + (7*t[39])/36 - (89*t[40])/36 - 
       (31*t[41])/72 - (41*t[42])/72 - (545*t[43])/144 - (260*t[44])/9 - 
       (3673*t[45])/72 + (4*t[46])/3 + (269*t[47])/12 + (22903*t[48])/576 + 
       (613*t[49])/72 - (1195*t[50])/192 - (143*t[51])/16 + 
       (3179*t[52])/192 - (565*t[53])/72 + (6011*t[54])/192 + 2*t[56] + 
       2*t[57] + (73*t[59])/12 - (19477*t[60])/288 - (66305*t[61])/288 + 
       (61591*t[62])/576 - (1319*t[63])/576 - (7845*t[64])/64 + 
       (3151*t[65])/864 + (286421*t[66])/864 + (5*t[68])/3 - 10*t[69] + 
       (8*t[70])/3 - 3*t[71] + (26*t[72])/3 - (367*t[73])/6 + (23*t[74])/2 + 
       (203*t[75])/6 - (13*t[76])/18 + (79*t[77])/12 - (172*t[78])/9 + 
       (27*t[79])/2 + (293*t[80])/9 - 31*t[81] + (73*t[82])/3 + 
       (145*t[83])/6 - (719*t[84])/32 - (5723*t[85])/288 + (329*t[86])/6 + 
       (9025*t[87])/288 + (16705*t[88])/576 - (1719*t[89])/64 + t[90]/3 + 
       t[91]/6 - 2*t[93] - (16*t[95])/3 - (8*t[96])/3 + (83*t[97])/18 - 
       (74*t[98])/3 + (158*t[99])/3 - (370*t[100])/3 - 4*t[101] + 6*t[102]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((35*t[1])/6 - (199*t[2])/12 + (745*t[3])/12 - (17*t[4])/6 + 
       (361*t[5])/24 + (1639*t[6])/72 - (2327*t[7])/24 + (3067*t[8])/24 - 
       (301*t[9])/3 + (185*t[10])/8 - (95*t[11])/3 - (395*t[12])/24 - 
       (289*t[13])/16 - (467*t[14])/6 - (1009*t[15])/108 - 5*t[17] + 
       4*t[19] - 24*t[20] - 6*t[21] + (58*t[22])/3 + (16*t[23])/3 - 6*t[24] + 
       6*t[27] - 20*t[28] + (52*t[29])/3 - (26*t[30])/3 - (26*t[31])/3 - 
       7*t[32] - (7*t[33])/3 - (41*t[34])/3 + 6*t[35] - 11*t[36] - 18*t[37] + 
       (7*t[38])/3 - (19*t[39])/3 + 3*t[40] - (4*t[41])/3 + (16*t[42])/9 - 
       (41*t[43])/8 - (271*t[44])/12 - (59*t[45])/3 + (3*t[46])/2 + 
       (133*t[47])/3 + (87*t[48])/4 - (13*t[49])/6 - (307*t[50])/6 + 
       (49*t[51])/24 + (281*t[52])/6 + (3*t[53])/2 + (64*t[54])/3 + 
       (4*t[56])/3 - (2*t[57])/3 - (17*t[59])/18 - (575*t[60])/12 - 
       (863*t[61])/6 - (1627*t[62])/24 - (4045*t[63])/24 + (2399*t[64])/12 + 
       (1603*t[65])/36 + (3587*t[66])/36 + (13*t[68])/3 - 12*t[69] + 
       6*t[72] - 50*t[73] - 6*t[74] + 24*t[75] - (59*t[76])/3 - 
       (29*t[77])/3 - (58*t[78])/3 + 34*t[79] + (37*t[80])/3 - (46*t[81])/3 - 
       10*t[82] + 10*t[83] - (109*t[84])/4 - (241*t[85])/12 + 
       (1177*t[86])/6 + (253*t[87])/6 + (253*t[88])/12 + (775*t[89])/24 + 
       t[90]/3 + t[91]/6 - 2*t[93] - (2*t[97])/3 - 136*t[98] + 196*t[99] - 
       64*t[100] + 4*t[101] + 6*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((15*t[1])/2 + (571*t[2])/36 + (257*t[3])/24 + 
       53*t[4] + (521*t[5])/12 - (1121*t[6])/48 - (451*t[7])/8 - 
       (1759*t[8])/24 - (245*t[9])/2 - (917*t[10])/24 - (4925*t[11])/48 - 
       (583*t[12])/12 - (11113*t[13])/144 - (11449*t[14])/144 + 
       (6257*t[15])/432 - (5*t[17])/3 - 4*t[19] + 2*t[20] + 8*t[21] - 
       (22*t[23])/3 - (8*t[24])/3 + (2*t[27])/3 - (4*t[28])/3 - 11*t[29] + 
       (56*t[30])/3 - 18*t[31] - (34*t[32])/3 + 5*t[33] - (28*t[34])/3 - 
       48*t[35] + t[36] + 12*t[37] + (17*t[38])/3 - (25*t[39])/3 + 18*t[40] + 
       (20*t[41])/3 - (20*t[42])/3 + (325*t[43])/24 - (11*t[44])/4 - 
       (131*t[45])/6 + (11*t[46])/2 - (61*t[47])/3 + (979*t[48])/48 - 
       (65*t[49])/4 - (41*t[50])/48 + (101*t[51])/12 - (269*t[52])/16 + 
       (187*t[53])/12 + (713*t[54])/48 + t[56] - 2*t[57] + (205*t[59])/18 - 
       (73*t[60])/8 - (6101*t[61])/24 + (12685*t[62])/48 - (3005*t[63])/48 - 
       (1819*t[64])/16 - (6029*t[65])/72 + (2669*t[66])/8 - (7*t[68])/3 + 
       8*t[69] - 8*t[72] - 58*t[73] + 20*t[74] + 56*t[75] - (146*t[76])/3 + 
       4*t[77] + 42*t[78] - 8*t[79] - (7*t[80])/3 - 16*t[81] + (67*t[82])/3 - 
       36*t[83] - (245*t[84])/24 - (1385*t[85])/24 - (179*t[86])/2 + 
       (2081*t[87])/24 + (2065*t[88])/48 + (1559*t[89])/48 + t[90]/3 + 
       t[91]/6 - 2*t[93] - (7*t[97])/3 - 276*t[98] + 336*t[99] + 16*t[100] + 
       4*t[101] + 6*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-32*t[1])/3 + 16*t[2] + (185*t[3])/12 - 
       (83*t[4])/2 + (213*t[5])/8 + (529*t[6])/6 + (169*t[7])/4 + 
       (1873*t[8])/12 + (435*t[9])/8 - (355*t[10])/3 - (389*t[11])/2 - 
       (251*t[12])/8 - (14209*t[13])/216 + (11*t[14])/36 - (6515*t[15])/144 - 
       4*t[16] - (32*t[25])/3 + (46*t[26])/3 + (20*t[27])/3 + 34*t[28] - 
       8*t[30] - 16*t[31] - 4*t[32] + 4*t[33] + 10*t[34] + 40*t[35] - 
       16*t[36] + (40*t[37])/3 - (26*t[38])/3 - (20*t[39])/3 - (28*t[40])/3 - 
       5*t[41] + 5*t[42] + (5*t[43])/2 - 8*t[44] - (55*t[45])/3 + 
       (2*t[46])/3 + (98*t[47])/3 + (143*t[48])/4 - (467*t[49])/12 + 
       (19*t[50])/4 - (83*t[51])/24 + (287*t[52])/12 + (83*t[53])/12 + 
       (553*t[54])/12 + 2*t[58] + (8*t[59])/3 - (269*t[60])/3 - 99*t[61] - 
       (347*t[62])/4 - (2291*t[63])/12 - (115*t[64])/2 - (1189*t[65])/6 + 
       (1010*t[66])/9 + (26*t[68])/3 - 4*t[69] + (40*t[70])/3 - 
       (40*t[71])/3 + (100*t[72])/3 - 74*t[73] + 4*t[74] - 94*t[75] - 
       (154*t[76])/3 + 12*t[77] - (46*t[78])/3 - 64*t[79] - 104*t[81] + 
       (40*t[82])/3 + (136*t[83])/3 - (263*t[84])/6 - (59*t[85])/6 + 
       (416*t[86])/3 + (517*t[87])/6 + (1229*t[88])/12 + (35*t[89])/3 - 
       8*t[95] - (106*t[96])/3 - (46*t[97])/3 - 352*t[98] + 480*t[99] - 
       76*t[100] + 12*t[102]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((70*t[1])/3 - 34*t[2] + (101*t[3])/12 + 
       (169*t[4])/3 - (3281*t[5])/24 + (481*t[6])/12 + (139*t[7])/6 - 
       (58*t[8])/3 + (825*t[9])/8 - 14*t[10] + (587*t[11])/6 - 
       (275*t[12])/24 + (115*t[13])/9 + (1643*t[14])/72 - (1169*t[15])/16 - 
       (4*t[18])/3 + 4*t[20] - (4*t[21])/3 + 12*t[22] + (4*t[23])/3 - 
       (4*t[24])/3 - (34*t[25])/3 + (44*t[26])/3 - (62*t[27])/3 + 4*t[28] + 
       12*t[29] + 6*t[30] + 16*t[31] + (4*t[32])/3 + (4*t[33])/3 - 
       (64*t[34])/3 + 28*t[35] - 4*t[36] - 16*t[37] + (16*t[38])/3 + 
       (8*t[39])/3 - (10*t[40])/3 + (35*t[41])/3 - (37*t[42])/3 - 
       (7*t[43])/12 - (38*t[44])/3 + (5*t[45])/2 - 23*t[46] + (31*t[47])/3 + 
       (133*t[48])/12 + 38*t[49] - (9*t[50])/4 - (59*t[51])/6 + 
       (187*t[52])/12 - 34*t[53] - (293*t[54])/12 + (8*t[57])/3 + 
       (8*t[58])/3 + (70*t[59])/3 - (323*t[60])/2 + (973*t[61])/6 - 
       (1153*t[62])/4 - (209*t[63])/12 + (871*t[64])/12 - (7925*t[65])/18 - 
       (649*t[66])/2 - 4*t[68] + (8*t[70])/3 - (8*t[71])/3 + (100*t[72])/3 - 
       78*t[73] - 12*t[74] - 218*t[75] - (256*t[76])/3 + (154*t[77])/3 - 
       (470*t[78])/3 + 12*t[79] - 16*t[80] - 56*t[81] - (50*t[82])/3 + 
       (304*t[83])/3 - (296*t[84])/3 + (160*t[85])/3 - (178*t[86])/3 + 
       (698*t[87])/3 + (349*t[88])/3 + (327*t[89])/4 - (2*t[92])/3 + 
       4*t[93] + 176*t[98] - 216*t[99] + 164*t[100] + 12*t[102]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-20*t[1])/3 - (97*t[2])/6 + (199*t[3])/2 + 78*t[4] + (2117*t[5])/24 - 
       t[6]/4 - (575*t[7])/12 - (419*t[8])/4 - (551*t[9])/8 - (147*t[10])/4 + 
       (439*t[11])/12 - (515*t[12])/8 + (18577*t[13])/216 - (2773*t[14])/24 - 
       (223*t[15])/144 - t[17]/3 + 8*t[19] - (8*t[24])/3 + 8*t[27] + 
       24*t[28] + 9*t[29] - (52*t[30])/3 - (7*t[32])/3 + 4*t[33] - 
       (74*t[34])/3 - 16*t[35] - 52*t[36] - (26*t[37])/3 + (2*t[39])/3 - 
       (25*t[40])/3 + (10*t[41])/3 - (10*t[42])/3 - (47*t[43])/6 - 
       (17*t[44])/6 + (17*t[45])/3 - 4*t[46] + (20*t[47])/3 + 3*t[48] - 
       (229*t[49])/6 - 2*t[50] + (397*t[51])/12 + (4*t[52])/3 + 
       (133*t[53])/6 - (191*t[54])/6 - t[59]/3 - (379*t[60])/6 - 347*t[61] + 
       (465*t[62])/4 - (7085*t[63])/12 - (99*t[64])/2 - (80*t[65])/3 - 
       (2159*t[66])/18 + (8*t[68])/3 + (4*t[70])/3 - (4*t[71])/3 + 
       (88*t[72])/3 - 10*t[73] + 10*t[74] - 174*t[75] + (110*t[76])/3 + 
       22*t[77] - (394*t[78])/3 - 72*t[79] + 44*t[80] - 65*t[81] - 
       (95*t[82])/3 - (110*t[83])/3 + (56*t[84])/3 + (745*t[85])/6 + 
       (164*t[86])/3 + (343*t[87])/6 + (407*t[88])/12 + (1697*t[89])/12 + 
       4*t[95] - (70*t[96])/3 - (64*t[97])/3 + 176*t[98] - 216*t[99] + 
       164*t[100] + 12*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 
       1 - u]*(8*t[1] - 27*t[2] + (421*t[3])/8 - (327*t[5])/8 - 
       (1391*t[6])/16 + (707*t[7])/8 - (981*t[8])/8 + (293*t[9])/8 - 
       (953*t[10])/8 + (1803*t[11])/16 + (465*t[12])/8 - (50*t[13])/3 + 
       (707*t[14])/48 - (103*t[15])/4 - 4*t[17] + 8*t[18] - 6*t[19] - 
       8*t[20] + 14*t[21] + 15*t[22] - 11*t[23] + 6*t[24] + 8*t[25] - 
       13*t[26] - 10*t[27] + (33*t[29])/2 + 33*t[30] + 2*t[31] - 7*t[32] + 
       t[33] - 5*t[34] - 8*t[35] + 3*t[36] - 2*t[37] + 9*t[38] - 17*t[39] + 
       (63*t[40])/2 - 2*t[41] + (13*t[42])/2 - (149*t[43])/8 - (13*t[44])/4 - 
       (233*t[45])/4 - (7*t[46])/2 + 76*t[47] - (9*t[48])/16 + (25*t[49])/2 - 
       (629*t[50])/16 + (63*t[51])/8 - (91*t[52])/16 - (25*t[53])/2 + 
       (261*t[54])/16 + t[56]/2 + 4*t[57] - t[58] - (119*t[59])/4 + 
       (1259*t[60])/8 + (91*t[61])/8 - (2481*t[62])/16 + (2233*t[63])/16 - 
       (363*t[64])/16 + (199*t[65])/24 + (1039*t[66])/24 - (9*t[68])/2 - 
       12*t[70] + 12*t[71] - 16*t[72] - 92*t[73] - 4*t[74] + 88*t[75] + 
       (15*t[76])/2 - 11*t[77] - (25*t[78])/2 + 28*t[79] + 111*t[80] - 
       19*t[81] + (61*t[82])/2 - 98*t[83] - (161*t[84])/8 - (93*t[85])/8 + 
       37*t[86] - (427*t[87])/8 - (427*t[88])/16 + (691*t[89])/16 - t[90]/2 + 
       t[91]/6 - 2*t[93] + (7*t[97])/2 + 264*t[98] - 156*t[99] - 199*t[100] + 
       18*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*
      (5*t[1] + 25*t[2] + 96*t[3] + (147*t[4])/2 + (589*t[5])/8 - 
       (889*t[6])/16 + (1433*t[7])/8 + (855*t[8])/8 - (431*t[9])/8 + 
       (179*t[10])/8 + (1747*t[11])/16 - (533*t[12])/8 + (7235*t[13])/144 - 
       (691*t[14])/16 - (217*t[15])/144 - (7*t[17])/2 - 6*t[19] - 12*t[20] - 
       6*t[21] + 24*t[22] + 6*t[23] - 5*t[24] + 16*t[27] - 26*t[28] + 
       (39*t[29])/2 + 10*t[30] - 6*t[31] - 9*t[32] - 25*t[33] - 32*t[34] + 
       26*t[35] - 3*t[36] - 4*t[37] + 8*t[38] + (69*t[39])/2 - 27*t[40] - 
       5*t[41] + 5*t[42] - (79*t[43])/8 + (7*t[44])/4 - (3*t[45])/2 + 
       t[46]/2 + (57*t[47])/2 + (123*t[48])/16 + t[49]/2 - (1073*t[50])/16 + 
       (33*t[51])/8 + (529*t[52])/16 + (39*t[53])/2 - (811*t[54])/16 + 
       3*t[56] + 6*t[57] - (75*t[59])/4 - (373*t[60])/8 - (1621*t[61])/8 - 
       (5995*t[62])/16 - (6485*t[63])/16 + (2157*t[64])/16 - (15*t[65])/8 - 
       (271*t[66])/8 + (21*t[68])/2 - 8*t[70] + 8*t[71] + 20*t[72] - 
       70*t[73] + 10*t[74] + 62*t[75] + (57*t[76])/2 + 8*t[77] - 
       (119*t[78])/2 - 44*t[79] - 9*t[80] - (57*t[81])/2 + 20*t[82] - 
       70*t[83] - (505*t[84])/8 - (523*t[85])/8 + (757*t[86])/2 + 
       (67*t[87])/8 - (477*t[88])/16 + (1363*t[89])/16 - t[90]/2 + t[91]/6 - 
       2*t[93] + 4*t[95] + 30*t[96] + (17*t[97])/2 + 264*t[98] - 156*t[99] - 
       199*t[100] + 18*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - u]*((57*t[1])/4 - (291*t[2])/4 + (657*t[3])/8 + (87*t[4])/2 - 
       (573*t[5])/16 - (1617*t[6])/8 + (573*t[7])/8 - (1521*t[8])/8 + 
       (541*t[9])/16 - (1551*t[10])/8 + (801*t[11])/4 + (1257*t[12])/16 + 
       (337*t[13])/24 - (1123*t[14])/16 - (8323*t[15])/96 + 3*t[17] + 
       12*t[18] - 12*t[19] - 36*t[20] + 24*t[21] + 72*t[22] - 21*t[23] + 
       12*t[24] + 12*t[25] - (39*t[26])/2 - 12*t[27] + 12*t[28] + 33*t[29] + 
       66*t[30] - 15*t[32] + 21*t[33] - (57*t[34])/2 + 6*t[36] + 12*t[37] + 
       21*t[38] - 39*t[39] + 69*t[40] - (21*t[41])/4 + (51*t[42])/4 - 
       36*t[43] - (9*t[44])/2 - 84*t[45] - (9*t[46])/2 + (267*t[47])/2 + 
       (195*t[48])/8 + (129*t[49])/4 - (753*t[50])/8 + (39*t[51])/4 + 
       (45*t[52])/8 - (129*t[53])/4 + (33*t[54])/8 + 6*t[56] - (3*t[58])/2 - 
       (201*t[59])/4 + (717*t[60])/4 - 192*t[61] - (1521*t[62])/8 + 
       (885*t[63])/8 + (585*t[64])/8 - (123*t[65])/2 + (87*t[66])/2 - 
       6*t[68] - 18*t[70] + 18*t[71] - 60*t[72] - 72*t[73] - 6*t[74] + 
       48*t[75] + 36*t[76] - 12*t[77] - (153*t[78])/2 + 72*t[79] + 
       168*t[80] - (105*t[81])/2 + (75*t[82])/2 - 210*t[83] - (201*t[84])/4 + 
       (3*t[85])/4 + 84*t[86] - (147*t[87])/4 - (147*t[88])/8 + 
       (1521*t[89])/8 - 6*t[93] + (3*t[97])/2 + 648*t[98] - 504*t[99] - 
       228*t[100] + 36*t[102]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - v]*((21*t[1])/2 - (9*t[2])/4 + (1833*t[3])/8 + 165*t[4] + 
       (633*t[5])/4 - (1581*t[6])/16 + (861*t[7])/4 + (1089*t[8])/4 - 
       (957*t[9])/8 + (237*t[10])/4 + (2577*t[11])/16 - 174*t[12] + 
       (2453*t[13])/24 - (2383*t[14])/16 - (303*t[15])/8 - 3*t[17] - 
       12*t[19] - 24*t[20] - 12*t[21] + 48*t[22] + 12*t[23] + 36*t[27] - 
       24*t[28] + 54*t[29] + (87*t[30])/2 - 12*t[31] - (3*t[32])/2 - 
       30*t[33] - 93*t[34] + 36*t[35] - 6*t[36] - 6*t[37] + (39*t[38])/2 + 
       (135*t[39])/2 - (99*t[40])/2 - (15*t[41])/2 + (15*t[42])/2 - 
       (75*t[43])/4 - (27*t[44])/2 + (153*t[45])/2 + 3*t[46] - (57*t[47])/2 + 
       (753*t[48])/16 + (9*t[49])/4 - (2211*t[50])/16 + (63*t[51])/8 + 
       (1155*t[52])/16 + (111*t[53])/4 - (1629*t[54])/16 + 6*t[56] + 
       12*t[57] - (75*t[59])/2 - (807*t[60])/8 - (4269*t[61])/8 - 
       (9495*t[62])/16 - (13641*t[63])/16 + (3285*t[64])/16 - (147*t[65])/8 - 
       (157*t[66])/8 + 18*t[68] - 12*t[70] + 12*t[71] + 12*t[72] - 36*t[73] + 
       21*t[74] + 72*t[76] + 21*t[77] - 162*t[78] - 72*t[79] - 42*t[80] - 
       (135*t[81])/2 + 21*t[82] - 180*t[83] - (885*t[84])/8 - (663*t[85])/8 + 
       621*t[86] - (201*t[87])/8 - (1113*t[88])/16 + (4443*t[89])/16 - 
       6*t[93] + 6*t[95] + 45*t[96] + 9*t[97] + 648*t[98] - 504*t[99] - 
       228*t[100] + 36*t[102]) + HPL[{0, 0, 0, 0, 1}, 1 - u]*
      (-7*t[1] + 7*t[2] + 38*t[3] + 64*t[4] - 63*t[5] + 28*t[6] + 20*t[7] - 
       20*t[8] + 73*t[9] - 72*t[10] - 44*t[11] + 42*t[12] + (193*t[13])/6 - 
       (281*t[14])/3 - (433*t[15])/6 + 24*t[18] - 2*t[19] + 24*t[21] - 
       8*t[23] + 24*t[24] + t[41] + 7*t[42] - 54*t[43] - 108*t[45] + 
       176*t[47] - 4*t[48] + 4*t[49] - 4*t[50] - 2*t[51] + 4*t[52] - 
       4*t[53] + 4*t[54] - 14*t[59])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*(-t[59]/2 - (7*t[60])/2 + t[61]/2 - 
       (75*t[62])/8 - (41*t[63])/8 + (131*t[64])/8 - (317*t[65])/24 - 
       (559*t[66])/72 - 2*t[74] - 2*t[75] - (3*t[78])/2 + t[79]/2 - 
       (3*t[81])/4 - t[82]/4 + (25*t[83])/4 - (25*t[84])/8 + t[85]/4 - 
       (5*t[86])/2 + 8*t[87] + 4*t[88] + (27*t[89])/8)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*Omega2[v, w, u]*(2*t[59] + 24*t[60] - 10*t[61] + 
       15*t[62] + 29*t[63] + (9*t[64])/2 + (95*t[65])/6 + (21*t[66])/2 - 
       2*t[78] - t[81] - 3*t[82] - t[83] + (9*t[84])/2 + 9*t[85] - 18*t[87] - 
       9*t[88] + (7*t[89])/2)*\[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-35*t[1])/2 - (49*t[2])/2 - (21*t[3])/8 - (383*t[4])/8 + 
       (395*t[5])/8 + (749*t[6])/16 - (573*t[7])/8 + (1523*t[8])/8 - 
       (699*t[9])/8 + (1399*t[10])/16 - (2531*t[11])/16 - (1025*t[12])/16 - 
       (5953*t[13])/144 + (345*t[14])/32 + (2015*t[15])/144 - 2*t[19] + 
       2*t[21] - 2*t[23] + 21*t[24] + 21*t[25] - 20*t[26] - 9*t[27] - 
       12*t[28] - (5*t[29])/2 - 3*t[30] - 4*t[31] + 5*t[33] - 5*t[34] - 
       12*t[35] + 6*t[36] + 4*t[37] - 7*t[39] + 17*t[40] + (13*t[41])/2 - 
       (13*t[42])/2 + (27*t[43])/8 - (47*t[44])/4 + (55*t[45])/4 - 15*t[46] - 
       (53*t[47])/2 + (933*t[48])/16 + (467*t[49])/16 - (751*t[50])/16 + 
       (39*t[51])/32 + (543*t[52])/16 - (483*t[53])/16 + (553*t[54])/16 + 
       6*t[57] - 3*t[58] - 8*t[59] - 126*t[61] + 67*t[62] - 35*t[63] - 
       59*t[64] - (26*t[65])/3 + (374*t[66])/3 - 16*t[77] - 40*t[80] + 
       28*t[86] + 16*t[89])*\[Zeta][2] + HPL[{0, 0, 0, 0, 1}, 1 - v]*
      (-29*t[2] + 9*t[3] + 8*t[4] - 14*t[5] + 15*t[6] - 130*t[7] + 190*t[8] - 
       11*t[9] + 4*t[10] - 3*t[11] + 8*t[12] + 39*t[13] + 49*t[14] + 
       (47*t[15])/2 + 2*t[18] - 4*t[22] - 36*t[29] + 6*t[32] - 30*t[33] + 
       16*t[34] - 60*t[44] + 15*t[48] - 4*t[49] - 45*t[50] + 2*t[51] + 
       45*t[52] + 4*t[53] + 19*t[54] - 5*t[59] + 54*t[60] + t[61] + 
       23*t[62] - 55*t[63] + 79*t[64] + (4*t[65])/3 - (272*t[66])/3 - 
       24*t[70] + 24*t[71] + 8*t[84] - 4*t[85] - 8*t[87] - 20*t[88] + 
       31*t[89])*\[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - v]*
      (3*t[1] - 15*t[2] + (17*t[3])/4 - (7*t[4])/8 - (1787*t[5])/16 + 
       (29*t[6])/8 + (7*t[7])/4 + 69*t[8] + (769*t[9])/16 + (707*t[10])/16 - 
       (689*t[11])/4 - (169*t[12])/8 - (727*t[13])/8 - (2233*t[14])/96 - 
       (11645*t[15])/288 + 4*t[19] - 8*t[21] + 2*t[22] + 8*t[23] + 9*t[24] - 
       4*t[25] + 4*t[26] + 12*t[27] + 4*t[28] + (21*t[29])/2 + 6*t[31] - 
       9*t[33] - 24*t[34] + 36*t[35] + 4*t[36] + 22*t[37] + 3*t[38] + t[39] + 
       (27*t[40])/2 - 4*t[41] + 4*t[42] - (63*t[43])/8 + (11*t[44])/4 + 
       (17*t[45])/2 + 6*t[46] + 18*t[47] + (295*t[48])/8 + (513*t[49])/16 - 
       (205*t[50])/8 - (501*t[51])/32 + (77*t[52])/8 - (449*t[53])/16 + 
       66*t[54] + 6*t[57] + (11*t[59])/2 - (605*t[60])/8 - (1855*t[61])/8 + 
       (755*t[62])/16 - (427*t[63])/16 + (761*t[64])/16 + (27*t[65])/8 + 
       (5119*t[66])/24 - 2*t[73] + 18*t[74] - 34*t[75] - 5*t[76] - 8*t[77] - 
       2*t[78] + 64*t[79] - 83*t[80] - 17*t[81] + 32*t[82] + 61*t[83] - 
       (209*t[84])/8 + (207*t[85])/8 + (123*t[86])/2 + (121*t[87])/8 + 
       (121*t[88])/16 + (1309*t[89])/16 + 6*t[96] + 3*t[97])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      ((7*t[59])/3 - (25*t[60])/12 + (11*t[61])/4 + (3*t[62])/8 + 
       (41*t[63])/8 + (13*t[64])/8 - (407*t[65])/36 - (73*t[66])/12 + 
       (2*t[72])/3 + t[73]/2 - (11*t[74])/3 - (17*t[75])/6 - (11*t[78])/6 - 
       2*t[79] - (2*t[80])/3 - t[81]/2 + t[82]/3 + (11*t[83])/3 - 
       (17*t[84])/12 + (7*t[85])/12 + (7*t[86])/3 + (29*t[87])/12 + 
       (29*t[88])/24 - (31*t[89])/24 - (4*t[99])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*(-3*t[1] + 3*t[2] - 
       (49*t[3])/4 - 75*t[4] + (1643*t[5])/8 - (29*t[6])/2 + (223*t[7])/4 + 
       (125*t[8])/4 - (1023*t[9])/8 - (627*t[10])/4 + (331*t[11])/2 - 
       (471*t[12])/8 + (8185*t[13])/72 - (177*t[14])/8 + (695*t[15])/16 - 
       2*t[22] - 6*t[31] + 12*t[32] - 18*t[35] + 32*t[36] + 12*t[40] + 
       6*t[41] - 6*t[42] + (85*t[43])/2 + 12*t[44] - 33*t[45] + 19*t[46] + 
       66*t[47] - (63*t[48])/4 - 3*t[49] + (169*t[50])/4 + (3*t[51])/4 - 
       (169*t[52])/4 + 3*t[53] - (265*t[54])/4 - 6*t[59] - 175*t[60] + 
       176*t[61] - (657*t[62])/4 - (1495*t[63])/4 + (633*t[64])/2 - 
       (580*t[65])/3 - (1444*t[66])/3 + 216*t[73] - 54*t[74] + 10*t[75] + 
       72*t[76] - 34*t[77] + 34*t[78] + 10*t[79] + 238*t[80] - 29*t[81] - 
       7*t[82] + 142*t[83] - 85*t[84] - (167*t[85])/2 + 274*t[86] + 
       (495*t[87])/2 + (495*t[88])/4 - 136*t[89] + 72*t[98] - 36*t[99] - 
       428*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-3*t[1] - 18*t[2] - (159*t[3])/2 + 81*t[4] - (705*t[5])/4 - 
       (223*t[6])/8 + 246*t[7] - 172*t[8] + (561*t[9])/2 + 10*t[10] + 
       (1143*t[11])/8 + (223*t[12])/4 + (221*t[13])/2 + (3829*t[14])/24 + 
       (35*t[15])/4 + 32*t[25] - 20*t[26] - 65*t[29] - 4*t[30] + 10*t[31] + 
       2*t[32] - 2*t[33] + 12*t[34] - 10*t[35] + 30*t[36] - 6*t[37] - 
       12*t[38] - 6*t[40] + 38*t[44] + 6*t[45] - 7*t[46] - 12*t[47] - 
       (433*t[48])/8 - (21*t[49])/2 + (303*t[50])/8 - 9*t[51] - 
       (303*t[52])/8 + (21*t[53])/2 - (51*t[54])/8 + (45*t[59])/2 + 
       (3009*t[60])/8 + (5829*t[61])/8 - (323*t[62])/2 - (319*t[63])/4 - 
       (9789*t[64])/16 - (1477*t[65])/12 - (10033*t[66])/24 - 28*t[69] + 
       120*t[73] - 6*t[74] + 178*t[75] + 132*t[76] + (3*t[77])/2 - 12*t[78] + 
       16*t[79] + (65*t[80])/2 + 49*t[81] - (59*t[82])/2 - 34*t[83] + 
       (847*t[84])/8 + (795*t[85])/8 + (287*t[86])/4 - (2407*t[87])/8 - 
       (2407*t[88])/16 - (3597*t[89])/16 + 12*t[97] + 72*t[98] - 36*t[99] - 
       428*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((37*t[1])/2 + (55*t[2])/2 - (105*t[3])/2 + (157*t[4])/4 + 
       (223*t[5])/4 + (107*t[6])/8 + (565*t[7])/4 + (413*t[8])/4 + 
       (341*t[9])/4 - (1107*t[10])/8 + (1883*t[11])/8 - (11*t[12])/8 + 
       (1083*t[13])/8 + (2649*t[14])/16 + (1607*t[15])/36 + 8*t[18] + 
       8*t[21] + 10*t[22] - 2*t[23] + 4*t[24] + 2*t[25] - 4*t[26] + 2*t[27] - 
       6*t[29] + 4*t[30] + 4*t[31] - 4*t[32] - 4*t[33] + 14*t[34] + 
       12*t[35] + 6*t[36] - 4*t[37] + 4*t[38] + 6*t[39] + 8*t[40] + 4*t[42] - 
       (9*t[43])/4 - 21*t[44] - (31*t[45])/2 + 7*t[46] + 58*t[47] + 
       (91*t[48])/8 + (337*t[49])/8 - (73*t[50])/8 - (177*t[51])/16 - 
       (119*t[52])/8 - (273*t[53])/8 - (161*t[54])/8 + 2*t[58] + 3*t[59] + 
       (369*t[60])/2 + 524*t[61] - (783*t[62])/4 - (317*t[63])/4 - 
       (503*t[64])/4 + (233*t[65])/2 - (2621*t[66])/6 - 16*t[70] + 16*t[71] - 
       4*t[72] - 48*t[73] + 64*t[75] + 21*t[76] + 4*t[78] - 24*t[79] + 
       164*t[80] + 17*t[81] + 18*t[82] + 28*t[83] + (25*t[84])/2 - 
       (27*t[85])/2 - 4*t[86] - (239*t[87])/2 - (231*t[88])/4 + 
       (109*t[89])/4 + 12*t[96] + 7*t[97] + 24*t[98] + 84*t[99] - 360*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (-t[1] - (11*t[2])/2 + (199*t[3])/2 + (661*t[4])/4 - (133*t[5])/8 - 
       (283*t[6])/2 + (383*t[7])/4 - (1213*t[8])/4 - (87*t[9])/8 - 
       (117*t[10])/8 + (479*t[11])/2 - (167*t[12])/4 + (4811*t[13])/72 + 
       (1505*t[14])/16 - (25*t[15])/16 + 18*t[24] + 10*t[25] - 14*t[26] - 
       4*t[27] - 10*t[28] - 15*t[29] + 21*t[30] + 26*t[31] - 31*t[32] + 
       21*t[33] + 17*t[34] + 4*t[35] - 6*t[37] + 4*t[38] - 4*t[39] + 
       16*t[40] - 3*t[41] + 3*t[42] - (5*t[43])/2 + (17*t[44])/2 - t[45]/2 - 
       2*t[46] - 24*t[47] - (467*t[48])/4 + (363*t[49])/8 + (113*t[50])/4 - 
       (217*t[51])/16 - (217*t[52])/4 - (283*t[53])/8 - (283*t[54])/2 - 
       2*t[58] - (19*t[59])/2 + (115*t[60])/2 + 430*t[61] - (459*t[62])/2 + 
       (355*t[63])/2 - 182*t[64] - (2837*t[65])/6 - 372*t[66] + 8*t[69] - 
       8*t[70] + 8*t[71] + 8*t[72] - 16*t[73] + 20*t[74] + 54*t[75] - 
       16*t[76] - 8*t[77] - 33*t[78] - 68*t[79] - 60*t[80] + 3*t[81] + 
       26*t[82] + 78*t[83] + t[84] + (39*t[85])/2 - t[86] - (375*t[87])/2 - 
       (527*t[88])/4 - (783*t[89])/4 + 8*t[95] + 20*t[96] + 13*t[97] + 
       24*t[98] + 84*t[99] - 360*t[100])*\[Zeta][2] + 
     HPL[{0, 1, 0, 1, 1}, 1 - u]*(4*t[1] + 68*t[2] + 24*t[3] - 140*t[4] + 
       (321*t[5])/4 + (65*t[6])/4 - (107*t[7])/4 + (23*t[8])/4 + 
       (85*t[9])/2 + (103*t[10])/4 - (131*t[11])/2 + (95*t[12])/4 - 
       (2645*t[13])/72 + (539*t[14])/12 - (2401*t[15])/36 - 6*t[24] - 
       16*t[25] + 12*t[26] - 16*t[27] - 44*t[28] - 24*t[29] + 20*t[30] + 
       10*t[32] - 28*t[33] + 24*t[36] + 4*t[38] - 10*t[39] - 4*t[40] + 
       t[41] - t[42] + (31*t[43])/4 - 42*t[44] - (15*t[45])/2 - 18*t[46] + 
       23*t[47] + (25*t[48])/2 - 37*t[49] - (69*t[50])/2 + 7*t[51] + 
       (69*t[52])/2 + 37*t[53] + (31*t[54])/2 - 3*t[59] - 63*t[60] - 
       11*t[61] - (121*t[62])/2 + (33*t[63])/2 + (227*t[64])/2 - 
       (113*t[65])/3 - (152*t[66])/3 + 40*t[74] + 16*t[77] + 8*t[78] + 
       30*t[80] - 20*t[81] + 26*t[82] - 8*t[84] - 12*t[85] - 58*t[86] + 
       20*t[87] + 10*t[88] - 17*t[89] + 96*t[98] + 168*t[99] - 360*t[100])*
      \[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - v]*(-18*t[1] - 16*t[2] + 
       (313*t[3])/4 + 137*t[4] - 82*t[5] - (201*t[6])/4 - (21*t[7])/2 - 
       (269*t[8])/2 + (115*t[9])/2 - 89*t[10] - (217*t[11])/4 + 
       (117*t[12])/2 - (829*t[13])/18 - (122*t[14])/3 - (3295*t[15])/72 + 
       8*t[24] + 18*t[25] - 12*t[26] - 2*t[27] + 8*t[28] + 13*t[29] + 
       4*t[30] + 40*t[31] - 2*t[32] - 2*t[33] - 20*t[34] + 58*t[35] - 
       54*t[36] + 10*t[37] - 6*t[38] - 4*t[39] + 2*t[40] - 2*t[41] + 
       2*t[42] - 30*t[43] + (3*t[44])/2 - 13*t[45] - 10*t[46] + 14*t[47] - 
       (39*t[48])/4 + 92*t[49] - (111*t[50])/4 - (135*t[51])/4 + 
       (159*t[52])/4 - 96*t[53] - (111*t[54])/4 - 11*t[59] + (983*t[60])/4 - 
       (555*t[61])/4 - (1053*t[62])/8 + (537*t[63])/8 - (3985*t[64])/8 - 
       (3599*t[65])/12 - (913*t[66])/4 + 68*t[73] + 86*t[74] - 116*t[75] + 
       51*t[76] - 2*t[77] - 61*t[78] + 52*t[79] - 143*t[80] - 14*t[81] - 
       43*t[82] + 108*t[83] + 11*t[84] + 110*t[85] + (227*t[86])/2 - 
       447*t[87] - (447*t[88])/2 - (1291*t[89])/8 + 8*t[95] + 5*t[97] + 
       96*t[98] + 168*t[99] - 360*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 1, 1, 1}, 1 - u]*(-9*t[1] + 300*t[2] + 85*t[3] - 
       (985*t[4])/2 + (337*t[5])/2 + (569*t[6])/4 - (771*t[7])/4 + 
       (1167*t[8])/4 + (189*t[9])/4 + 532*t[10] - (1211*t[11])/2 - 
       (243*t[12])/4 - (3185*t[13])/8 + (371*t[14])/8 - (4295*t[15])/24 - 
       24*t[18] - 24*t[21] - 24*t[22] + 24*t[23] - 48*t[24] - 72*t[25] + 
       66*t[26] - 24*t[27] - 122*t[28] - 48*t[29] + 36*t[30] + 6*t[31] + 
       32*t[32] - 96*t[33] - 30*t[34] + 62*t[36] - 40*t[40] + 27*t[41] - 
       39*t[42] + (373*t[43])/4 - 124*t[44] - (5*t[45])/2 - 29*t[46] + 
       21*t[47] + 109*t[48] - (497*t[49])/4 - 120*t[50] - (97*t[51])/8 + 
       186*t[52] + (497*t[53])/4 + (301*t[54])/2 - 6*t[58] + 36*t[59] - 
       585*t[60] - 552*t[61] + (291*t[62])/2 + (237*t[63])/2 + 66*t[64] - 
       261*t[65] + 486*t[66] + 48*t[70] - 48*t[71] + 144*t[74] - 66*t[76] + 
       80*t[77] + 24*t[78] - 24*t[80] - 114*t[81] + 78*t[82] - 66*t[84] - 
       18*t[85] - 270*t[86] + 258*t[87] + 129*t[88] - (87*t[89])/2 - 
       12*t[97] + 648*t[99] - 360*t[100])*\[Zeta][2] + 
     HPL[{0, 0, 1, 1, 1}, 1 - v]*(-65*t[1] - 71*t[2] + (785*t[3])/4 + 
       (261*t[4])/2 - (445*t[5])/2 - 87*t[6] - 118*t[7] - 96*t[8] + 
       (311*t[9])/2 - (263*t[10])/4 - (1117*t[11])/2 + (703*t[12])/4 - 
       (4498*t[13])/9 - (4799*t[14])/24 - (1807*t[15])/24 + 34*t[24] + 
       38*t[25] - 20*t[26] - 6*t[27] + 24*t[28] + 27*t[29] - 66*t[30] + 
       88*t[31] + 39*t[32] + 30*t[33] - 120*t[34] + 148*t[35] - 126*t[36] + 
       78*t[37] - 24*t[38] - 60*t[39] + 24*t[40] - 6*t[41] + 6*t[42] - 
       92*t[43] + (73*t[44])/2 - 27*t[45] - 19*t[46] + 38*t[47] + 74*t[48] + 
       (845*t[49])/4 - 36*t[50] - (689*t[51])/8 + 132*t[52] - (989*t[53])/4 + 
       74*t[54] - 3*t[59] + (1623*t[60])/4 - (3367*t[61])/4 - 
       (1063*t[62])/8 + (4363*t[63])/8 - (13341*t[64])/8 - (7139*t[65])/12 + 
       (2921*t[66])/12 + 24*t[70] - 24*t[71] + 108*t[73] + 276*t[74] - 
       226*t[75] + 12*t[76] - 42*t[77] - 76*t[78] + 224*t[79] - 497*t[80] - 
       133*t[81] - 56*t[82] + 360*t[83] + 7*t[84] + (637*t[85])/2 + 
       (521*t[86])/2 - (2189*t[87])/2 - (1877*t[88])/4 - (3891*t[89])/8 - 
       60*t[96] + 9*t[97] + 648*t[99] - 360*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*(40*t[98] + 60*t[99] - 
       266*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-7*t[59] + (75*t[60])/4 + (865*t[61])/4 - (477*t[62])/8 - 
       (347*t[63])/8 + (377*t[64])/8 - (1583*t[65])/12 - (547*t[66])/4 + 
       12*t[73] + 28*t[74] + 12*t[75] + 14*t[76] - 6*t[77] + 40*t[78] + 
       6*t[79] - 6*t[80] - 6*t[81] + 36*t[82] - 14*t[83] + (91*t[84])/4 - 
       (141*t[85])/4 - 61*t[86] + (13*t[87])/4 + (13*t[88])/8 - 
       (451*t[89])/8 + 2*t[97] + 40*t[98] + 60*t[99] - 266*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-29*t[1])/4 - (29*t[2])/8 - (159*t[3])/32 + (307*t[4])/16 - 
       (6753*t[5])/64 + (145*t[6])/2 - (425*t[7])/32 + (4417*t[8])/32 + 
       (4553*t[9])/64 - (1513*t[10])/32 - (1623*t[11])/32 - (2119*t[12])/64 - 
       (5435*t[13])/288 + (3331*t[14])/192 - (14573*t[15])/1152 + 2*t[18] + 
       2*t[20] + 2*t[21] - (5*t[22])/4 - 2*t[23] + 15*t[24] - 2*t[25] + 
       2*t[26] - 2*t[27] - 6*t[28] - (5*t[29])/2 - (41*t[30])/2 - 2*t[31] - 
       (11*t[32])/2 - (17*t[33])/2 + 17*t[34] + t[35] - 16*t[36] - 
       (9*t[38])/2 + (17*t[39])/2 - (41*t[40])/4 - (19*t[41])/8 + 
       (19*t[42])/8 - (59*t[43])/8 - (67*t[44])/4 - (37*t[45])/8 - t[46]/4 - 
       4*t[47] + (445*t[48])/16 - (225*t[49])/16 - (107*t[50])/16 + 
       (119*t[51])/32 + (291*t[52])/16 + (33*t[53])/16 + (877*t[54])/16 + 
       6*t[57] - t[59] + (335*t[60])/4 - (37*t[61])/4 + (1159*t[62])/16 - 
       (351*t[63])/16 + (489*t[64])/16 + (1679*t[65])/16 + (271*t[66])/48 - 
       4*t[69] + 2*t[70] - 2*t[71] + 4*t[72] + 20*t[73] + 26*t[74] - 
       40*t[75] - (55*t[76])/4 + (11*t[77])/4 + 31*t[78] + 12*t[79] + 
       (17*t[80])/4 + (59*t[81])/4 - (43*t[82])/8 - 55*t[83] + 77*t[84] + 
       (145*t[85])/2 + (99*t[86])/4 - 50*t[87] - 20*t[88] + 22*t[89] - 
       4*t[95] - 18*t[96] - (49*t[97])/4 - 17*t[98] + 133*t[99] - 235*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((11*t[1])/4 + t[2]/8 - (395*t[3])/32 + (649*t[4])/8 - (1395*t[5])/16 + 
       (4477*t[6])/64 - (9*t[7])/2 + (583*t[8])/8 + (1179*t[9])/32 - 
       (2309*t[10])/16 + (4259*t[11])/64 - (39*t[12])/2 - (1697*t[13])/96 + 
       (3679*t[14])/64 - (6637*t[15])/288 - 2*t[18] - 2*t[19] - 2*t[20] - 
       6*t[21] + 2*t[22] + 8*t[23] + 13*t[24] - 3*t[25] + 3*t[26] - 9*t[27] - 
       4*t[28] + (75*t[29])/8 - 3*t[30] - (15*t[32])/4 - (21*t[33])/4 + 
       (29*t[34])/4 + 2*t[35] + (3*t[36])/2 + 4*t[37] + (3*t[38])/2 - 
       (27*t[39])/4 + (7*t[40])/2 + (5*t[41])/2 - (5*t[42])/2 - 
       (99*t[43])/8 - (25*t[44])/2 - 14*t[45] + 7*t[46] + (45*t[47])/4 + 
       (1955*t[48])/64 + (319*t[49])/16 + (43*t[50])/64 - (333*t[51])/32 + 
       (149*t[52])/64 - (303*t[53])/16 - (931*t[54])/64 + 6*t[57] + 2*t[58] - 
       7*t[59] + (1703*t[60])/32 - (2769*t[61])/32 + (7151*t[62])/64 - 
       (2799*t[63])/64 - (373*t[64])/64 - (2225*t[65])/32 - (1459*t[66])/32 - 
       4*t[69] + 2*t[70] - 2*t[71] - 11*t[72] + 28*t[73] + (43*t[74])/2 - 
       57*t[75] - (13*t[76])/4 - (53*t[77])/4 - 11*t[78] + 24*t[79] - 
       (93*t[80])/2 + (3*t[81])/4 - 19*t[82] - 77*t[83] + (741*t[84])/32 + 
       (465*t[85])/32 - 88*t[86] - (1503*t[87])/32 - (1503*t[88])/64 + 
       (1389*t[89])/64 - (9*t[97])/4 - 17*t[98] + 133*t[99] - 235*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (-6*t[59] + (305*t[60])/6 + (203*t[61])/2 - (215*t[62])/2 + 
       (131*t[63])/3 - (245*t[64])/6 + (493*t[65])/9 - (388*t[66])/9 + 
       (4*t[72])/3 - 38*t[73] - 10*t[75] + 2*t[76] - 5*t[77] + 10*t[78] - 
       18*t[79] + 51*t[80] + (112*t[81])/3 - (107*t[82])/3 - (116*t[83])/3 + 
       (59*t[84])/3 - (82*t[85])/3 + (89*t[86])/2 - (140*t[87])/3 - 
       (70*t[88])/3 - (73*t[89])/3 - 2*t[97] + 16*t[98] - 220*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((7*t[1])/3 + (539*t[2])/6 + (163*t[3])/24 + (515*t[4])/12 + 
       (987*t[5])/16 - (51*t[6])/4 + (1177*t[7])/24 - (2773*t[8])/24 - 
       (241*t[9])/48 - (779*t[10])/8 + (1289*t[11])/24 - (173*t[12])/48 + 
       (11123*t[13])/216 + (2861*t[14])/48 + (11263*t[15])/288 + 8*t[19] - 
       4*t[20] + 8*t[21] + 3*t[22] - 8*t[23] + 4*t[24] - 4*t[25] + 4*t[26] + 
       (38*t[27])/3 - (16*t[28])/3 - (26*t[29])/3 + (44*t[30])/3 - 4*t[31] - 
       (26*t[32])/3 + (2*t[33])/3 + (28*t[34])/3 + 8*t[35] - 2*t[36] - 
       28*t[37] - (4*t[38])/3 + (26*t[39])/3 + (32*t[40])/3 + (13*t[41])/6 - 
       (13*t[42])/6 - (17*t[43])/6 + (86*t[44])/3 - (40*t[45])/3 - 10*t[46] - 
       16*t[47] - (28*t[48])/3 - (14*t[49])/3 + 26*t[50] + (23*t[51])/4 - 
       26*t[52] + (14*t[53])/3 + 6*t[54] - 4*t[57] - (15*t[59])/2 + 
       (361*t[60])/6 + (286*t[61])/3 - (13*t[62])/12 + (605*t[63])/12 - 
       (43*t[64])/4 - (2717*t[65])/36 + (689*t[66])/36 - 8*t[69] + 8*t[72] - 
       8*t[73] + 4*t[74] + 60*t[75] + (20*t[76])/3 - 15*t[77] + 
       (112*t[78])/3 - 28*t[79] + (205*t[80])/3 + 26*t[81] - (43*t[82])/2 - 
       70*t[83] + 45*t[84] - (134*t[85])/3 + 16*t[86] - (206*t[87])/3 - 
       (103*t[88])/3 - (369*t[89])/4 + (2*t[97])/3 - 36*t[98] + 144*t[99] - 
       212*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (t[1]/3 + (523*t[2])/6 - (2339*t[3])/24 + 57*t[4] - (695*t[5])/24 + 
       (49*t[6])/48 + (571*t[7])/4 - (445*t[8])/12 + 221*t[9] - 
       (203*t[10])/4 + (7183*t[11])/48 + (515*t[12])/24 + (219*t[13])/4 + 
       (27137*t[14])/144 + (9643*t[15])/432 - (8*t[19])/3 + 4*t[21] - 
       4*t[22] - 4*t[23] + 2*t[25] - 2*t[26] - 6*t[27] - 4*t[28] - 
       (29*t[29])/6 - (91*t[30])/3 + (68*t[31])/3 + 12*t[32] - 24*t[33] + 
       (31*t[34])/3 - 8*t[35] + 16*t[36] - 20*t[37] - (4*t[38])/3 + 
       (41*t[39])/3 - (29*t[40])/3 - 4*t[41] + 4*t[42] + (95*t[43])/6 - 
       (44*t[44])/3 + (37*t[45])/3 - t[46] - (62*t[47])/3 - (1813*t[48])/48 - 
       (5*t[49])/6 + (425*t[50])/16 - (109*t[51])/12 - (955*t[52])/48 + 
       (5*t[53])/6 - (163*t[54])/48 - 4*t[57] - (31*t[59])/6 + 
       (6607*t[60])/24 + (1433*t[61])/8 - (14449*t[62])/48 - 
       (1765*t[63])/16 - (593*t[64])/48 - (6611*t[65])/72 - 
       (10459*t[66])/24 - 8*t[69] - 6*t[72] + 44*t[73] - 10*t[74] - 
       16*t[75] + (140*t[76])/3 + (5*t[77])/3 - (44*t[78])/3 - 34*t[79] + 
       58*t[80] + (160*t[81])/3 - (295*t[82])/3 - 10*t[83] + 
       (1817*t[84])/24 + (1381*t[85])/24 + (652*t[86])/3 - (1621*t[87])/8 - 
       (1621*t[88])/16 - (1067*t[89])/48 + (2*t[97])/3 - 36*t[98] + 
       144*t[99] - 212*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-43*t[1])/6 - (905*t[2])/12 + 
       (18955*t[3])/96 + (193*t[4])/4 + (1249*t[5])/24 - (5537*t[6])/192 - 
       (407*t[7])/8 - (139*t[8])/3 - (7571*t[9])/32 - (295*t[10])/8 + 
       (11401*t[11])/192 - (155*t[12])/12 + (983*t[13])/96 - 
       (78511*t[14])/576 - (4253*t[15])/432 - 4*t[18] + 2*t[19] - 2*t[20] + 
       6*t[21] + 2*t[22] - 6*t[23] - 3*t[24] + 2*t[26] - 2*t[27] + 
       (49*t[29])/24 + (247*t[30])/6 - (4*t[31])/3 - (147*t[32])/4 + 
       (95*t[33])/4 - (65*t[34])/12 + 2*t[35] - (47*t[36])/2 + 16*t[37] - 
       (10*t[38])/3 - (133*t[39])/12 + (121*t[40])/12 + 7*t[41] - 6*t[42] - 
       (205*t[43])/24 + (209*t[44])/6 - (14*t[45])/3 - (7*t[46])/2 - 
       (59*t[47])/3 + (881*t[48])/192 + (55*t[49])/24 - (1021*t[50])/64 - 
       (385*t[51])/48 + (503*t[52])/192 - (55*t[53])/24 - (11161*t[54])/192 - 
       2*t[57] + (103*t[59])/24 - (24671*t[60])/96 + (3747*t[61])/32 + 
       (46505*t[62])/192 + (16893*t[63])/64 - (13811*t[64])/192 + 
       (20443*t[65])/288 + (26443*t[66])/96 + 10*t[69] - 6*t[70] + 6*t[71] + 
       (15*t[72])/2 - 2*t[73] + (3*t[74])/2 + t[75] + (61*t[76])/6 + 
       (17*t[77])/3 - (134*t[78])/3 + 36*t[79] - 46*t[80] - (119*t[81])/3 + 
       (1001*t[82])/12 - (3*t[83])/2 - (6493*t[84])/96 - (5129*t[85])/96 - 
       (793*t[86])/6 + (2237*t[87])/32 - (323*t[88])/64 - (19901*t[89])/192 + 
       16*t[95] + 8*t[96] - (22*t[97])/3 + 79*t[98] - 87*t[99] - 
       (379*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((65*t[1])/6 - (727*t[2])/6 - (8573*t[3])/96 - 
       (2725*t[4])/48 - (6405*t[5])/64 + (1175*t[6])/24 + (13729*t[7])/96 + 
       (21743*t[8])/96 + (34271*t[9])/192 - (447*t[10])/32 + 
       (24071*t[11])/96 + (19195*t[12])/192 + (77609*t[13])/864 + 
       (33593*t[14])/192 + (21679*t[15])/1152 + (20*t[18])/3 - 10*t[19] + 
       2*t[20] - 2*t[21] + (15*t[22])/4 + 4*t[23] - 7*t[24] + 14*t[25] - 
       14*t[26] - (209*t[27])/6 - (4*t[28])/3 - (8*t[29])/3 - (137*t[30])/6 + 
       6*t[31] - (5*t[32])/3 + (14*t[33])/3 + (28*t[34])/3 + 5*t[35] + 
       t[36] + 12*t[37] + (8*t[38])/3 - (25*t[39])/3 - t[40]/3 + t[41]/24 + 
       (53*t[42])/8 - (17*t[43])/24 - (235*t[44])/12 + (295*t[45])/24 + 
       (45*t[46])/4 + (187*t[47])/4 + (83*t[48])/48 + (145*t[49])/12 + 
       (29*t[50])/16 + (195*t[51])/16 - (61*t[52])/16 - (145*t[53])/12 - 
       (237*t[54])/16 - 2*t[57] + 4*t[58] + (113*t[59])/24 + 
       (3373*t[60])/24 + (13367*t[61])/24 - (10763*t[62])/24 - 
       (1829*t[63])/24 + (163*t[64])/4 + (24121*t[65])/144 - 
       (87121*t[66])/144 + 10*t[69] - 14*t[70] + 14*t[71] - 8*t[72] + 
       8*t[73] - 40*t[74] - 18*t[75] + (26*t[76])/3 + (47*t[77])/4 - 
       (14*t[78])/3 + 28*t[79] - (131*t[80])/12 + (31*t[81])/2 - 
       (265*t[82])/8 + 83*t[83] - (35*t[84])/8 + (71*t[85])/24 + 
       (739*t[86])/4 - (295*t[87])/24 - (295*t[88])/48 + (265*t[89])/16 + 
       (2*t[97])/3 + 79*t[98] - 87*t[99] - (379*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*((4*t[1])/3 + (11*t[2])/3 + 
       (763*t[3])/24 - (61*t[4])/2 + (157*t[5])/6 - (809*t[6])/48 - 46*t[7] - 
       (353*t[8])/6 - (211*t[9])/8 - (5*t[10])/4 - (215*t[11])/48 + 
       (7*t[12])/12 + (109*t[13])/72 - (5005*t[14])/144 - (835*t[15])/54 + 
       t[29]/6 - (16*t[30])/3 - (16*t[31])/3 - 3*t[32] + 3*t[33] + 
       (13*t[34])/3 - 8*t[37] - (7*t[38])/3 - (7*t[39])/3 - (2*t[40])/3 - 
       t[41] + t[42] - (8*t[43])/3 - (5*t[44])/3 - (14*t[45])/3 - t[46] + 
       (4*t[47])/3 - (559*t[48])/48 - (19*t[49])/12 - (125*t[50])/16 - 
       (35*t[51])/24 + (599*t[52])/48 - (29*t[53])/12 - (769*t[54])/48 - 
       (25*t[59])/6 - (311*t[60])/24 - (621*t[61])/8 - (883*t[62])/48 - 
       (127*t[63])/16 + (3253*t[64])/48 - (1973*t[65])/72 - (447*t[66])/8 - 
       8*t[69] + 6*t[72] - 10*t[74] - 20*t[75] + (20*t[76])/3 - (4*t[77])/3 - 
       (98*t[78])/3 + 54*t[79] - 4*t[80] - (5*t[81])/3 + (14*t[82])/3 + 
       10*t[83] - t[84]/24 + (271*t[85])/24 + (130*t[86])/3 - (107*t[87])/8 - 
       (107*t[88])/16 - (1637*t[89])/48 - 6*t[96] - (10*t[97])/3 - 2*t[98] + 
       22*t[99] - 156*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - w]*((-17*t[1])/2 - (125*t[2])/8 - (157*t[3])/8 - 
       (339*t[4])/16 - (49*t[5])/2 - (373*t[6])/8 + (61*t[7])/4 - 
       (557*t[8])/8 + (397*t[9])/8 + (761*t[10])/32 + (65*t[11])/4 + 
       (1021*t[12])/32 + (167*t[13])/16 + (5091*t[14])/64 + (2425*t[15])/96 + 
       3*t[24] + (31*t[25])/2 - 9*t[26] + t[27]/2 - 7*t[28] - t[29] + 
       7*t[30] + 22*t[31] - t[32]/2 + (7*t[33])/2 + (3*t[34])/2 + 3*t[35] - 
       (23*t[36])/2 + 5*t[37] - 6*t[38] - 4*t[39] + (5*t[40])/2 - 
       (3*t[41])/4 + (3*t[42])/4 + 2*t[43] + 3*t[44] + (181*t[45])/8 - 
       (31*t[46])/4 - (183*t[47])/4 - (195*t[48])/8 - (409*t[49])/32 - 
       (71*t[50])/8 + (355*t[51])/64 - (5*t[52])/8 + (281*t[53])/32 - 
       (49*t[54])/16 - 2*t[58] + (5*t[59])/4 + (1699*t[60])/16 + 
       (2927*t[61])/16 + (1093*t[62])/16 + (699*t[63])/16 - (7495*t[64])/32 - 
       (2123*t[65])/24 - (601*t[66])/8 - 6*t[69] + 2*t[70] - 2*t[71] + 
       3*t[72] - 11*t[73] + 20*t[74] + 40*t[75] - (3*t[76])/2 + 7*t[77] + 
       20*t[78] - 21*t[79] - (117*t[80])/2 - (15*t[81])/2 + 21*t[82] + 
       (21*t[83])/4 + (129*t[84])/16 + (125*t[85])/16 - (521*t[86])/4 - 
       (1405*t[87])/16 - (1453*t[88])/32 - (647*t[89])/32 + 2*t[95] + 
       (5*t[97])/2 - 28*t[98] + 62*t[99] - 137*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*((9*t[1])/4 - (23*t[2])/8 + 
       (83*t[3])/16 - (171*t[4])/16 + (2121*t[5])/32 + (263*t[6])/32 - 
       (431*t[7])/16 - (87*t[8])/16 - (1819*t[9])/32 + (81*t[10])/32 + 
       (209*t[11])/32 + t[12]/16 - (1937*t[13])/288 + (317*t[14])/192 + 
       (609*t[15])/64 - 3*t[24] - 4*t[25] + 5*t[26] - 2*t[27] - 5*t[28] - 
       t[29]/2 - t[30]/2 + 2*t[31] + t[32]/2 - (7*t[33])/2 - 4*t[34] + 
       24*t[35] + (23*t[36])/2 - 3*t[37] + t[38] + (3*t[39])/2 + 
       (29*t[40])/4 + 2*t[41] - 2*t[42] + (9*t[43])/8 - (25*t[44])/4 - 
       (21*t[45])/4 + (23*t[46])/4 + 11*t[47] + (139*t[48])/32 + 
       (413*t[49])/32 + (47*t[50])/32 - (201*t[51])/64 - (175*t[52])/32 - 
       (157*t[53])/32 - (409*t[54])/32 + (7*t[59])/4 - (755*t[60])/8 + 
       (367*t[61])/8 + (123*t[62])/16 + (285*t[63])/16 + (31*t[64])/16 - 
       (1411*t[65])/24 + (451*t[66])/24 - 4*t[72] - 22*t[73] - 3*t[74] + 
       29*t[75] + (15*t[76])/2 - (17*t[77])/2 - (31*t[78])/2 + 3*t[79] + 
       24*t[80] - 10*t[81] + (27*t[82])/2 + 22*t[83] - (175*t[84])/4 - 
       (109*t[85])/4 - 53*t[86] + (137*t[87])/4 + (125*t[88])/8 - 
       (703*t[89])/16 + 2*t[95] + 9*t[96] + 8*t[97] - 28*t[98] + 62*t[99] - 
       137*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*(t[3] + 4*t[4] - (3*t[5])/2 - 2*t[6] - t[7] - 
       3*t[8] - (9*t[9])/2 - 7*t[10] - t[11] - (17*t[12])/2 - t[13] + 
       (5*t[14])/2 - t[15]/12 - 2*t[22] - 4*t[29] - 16*t[60] + 6*t[61] + 
       4*t[62] - 4*t[64] + (26*t[65])/3 + 2*t[66] - 2*t[82] + 8*t[83] + 
       8*t[87] + 4*t[88] - 20*t[99] - 125*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (t[3] + 4*t[4] + 2*t[5] + (7*t[6])/2 - 10*t[7] - 6*t[8] - t[9] + 
       4*t[10] + (9*t[11])/2 - 2*t[12] + (11*t[13])/3 + (23*t[14])/6 - 
       (7*t[15])/3 - 2*t[39] + 2*t[40] - 2*t[44] - (3*t[48])/2 - 
       (3*t[50])/2 - t[51] + (3*t[52])/2 - (9*t[54])/2 + 8*t[59] + 
       (35*t[60])/2 + 15*t[61] + (77*t[62])/6 + (721*t[63])/6 + 
       (325*t[64])/3 + (304*t[65])/9 - (245*t[66])/18 - 8*t[69] + 2*t[72] - 
       24*t[74] + 4*t[75] + t[77] - 2*t[78] + 30*t[79] + 26*t[80] + 
       20*t[81] - 20*t[82] - (130*t[83])/3 + (83*t[84])/3 - (17*t[85])/3 - 
       (137*t[86])/3 - (53*t[87])/3 - (53*t[88])/6 + (373*t[89])/12 - 
       20*t[99] - 125*t[100])*\[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - u]*
      (-2*t[1] - 110*t[2] - (9*t[3])/2 - (393*t[4])/2 + (227*t[5])/2 + 
       (149*t[6])/4 - 34*t[7] + 221*t[8] - 83*t[9] + (451*t[10])/4 - 
       (849*t[11])/4 - (215*t[12])/4 - (745*t[13])/18 + (335*t[14])/8 + 
       (67*t[15])/18 - 8*t[18] - 8*t[19] - 4*t[22] + 44*t[24] + 36*t[25] - 
       44*t[26] - 20*t[27] - 6*t[29] - 16*t[31] + 8*t[32] + 28*t[33] + 
       4*t[34] - 32*t[35] + 16*t[36] + 16*t[37] + 20*t[38] - 20*t[39] + 
       44*t[40] + 24*t[41] + 4*t[42] - 20*t[43] + t[44] - 14*t[45] - 
       38*t[46] + 20*t[47] + (295*t[48])/4 + (173*t[49])/4 - (365*t[50])/4 + 
       (145*t[51])/8 + (45*t[52])/4 - (189*t[53])/4 + (355*t[54])/4 + 
       16*t[57] - 12*t[58] - 14*t[59] + 152*t[60] - 56*t[61] + 19*t[62] - 
       171*t[63] + 41*t[64] + (520*t[65])/3 + (172*t[66])/3 - 8*t[70] + 
       8*t[71] - 8*t[74] + 48*t[76] - 32*t[77] - 24*t[78] - 24*t[80] + 
       28*t[81] - 4*t[82] + 22*t[84] + 44*t[85] + 116*t[86] - 112*t[87] - 
       56*t[88] + 102*t[89] + 288*t[98] - 288*t[99] - 120*t[100])*
      \[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - v]*(12*t[1] + 3*t[2] + 
       (129*t[3])/2 - (125*t[4])/2 - (269*t[5])/4 - (109*t[6])/2 - 48*t[7] + 
       3*t[8] - (329*t[9])/4 + (441*t[10])/4 - 342*t[11] - (5*t[12])/2 - 
       (1480*t[13])/9 - (3611*t[14])/24 - (6497*t[15])/72 + 8*t[19] - 
       24*t[21] + 16*t[22] + 8*t[23] - 4*t[24] - 8*t[25] + 8*t[26] + 
       32*t[27] + 48*t[29] + 8*t[30] + 2*t[32] - 36*t[33] - 72*t[34] + 
       64*t[35] + 16*t[37] + 12*t[38] + 12*t[39] + 20*t[40] - 2*t[41] + 
       2*t[42] - (15*t[43])/2 + 30*t[44] + 34*t[45] + 16*t[46] + 16*t[47] + 
       (143*t[48])/2 + (251*t[49])/4 - (125*t[50])/2 - (263*t[51])/8 + 
       (77*t[52])/2 - (187*t[53])/4 + 82*t[54] + 16*t[57] + 2*t[59] - 
       (847*t[60])/2 - (1039*t[61])/2 + (187*t[62])/4 - (771*t[63])/4 + 
       (1657*t[64])/4 + (371*t[65])/6 + (3221*t[66])/6 + 8*t[70] - 8*t[71] - 
       4*t[74] - 104*t[75] + 52*t[76] - 128*t[78] + 144*t[79] - 52*t[80] - 
       42*t[81] + 78*t[82] + 144*t[83] - (255*t[84])/2 + (15*t[85])/2 + 
       222*t[86] + (589*t[87])/2 + (141*t[88])/4 + (795*t[89])/4 + 8*t[95] + 
       56*t[96] + 12*t[97] + 288*t[98] - 288*t[99] - 120*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*((5*t[1])/6 - (73*t[2])/2 - 
       39*t[3] + (241*t[4])/4 - (139*t[5])/2 + (509*t[6])/8 + 94*t[7] + 
       (165*t[8])/2 + 87*t[9] + (337*t[10])/8 + (1165*t[11])/8 + 
       (79*t[12])/8 + (5087*t[13])/72 + (3763*t[14])/48 + (257*t[15])/24 - 
       4*t[18] - 4*t[21] + t[22]/2 + 16*t[23] + 3*t[24] + 14*t[25] - 
       12*t[26] - 12*t[27] + 2*t[28] + 4*t[30] + 8*t[31] + 4*t[32] - t[33] + 
       13*t[34] + 6*t[35] - 4*t[37] - 3*t[38] + 3*t[39] - 7*t[40] + 
       (15*t[41])/2 - (11*t[42])/2 - 25*t[43] + 13*t[44] - (13*t[45])/2 - 
       (3*t[46])/2 + 17*t[47] - (21*t[48])/8 + (299*t[49])/8 + 
       (235*t[50])/8 - (93*t[51])/16 - (227*t[52])/8 - (299*t[53])/8 - 
       (489*t[54])/8 + t[58] + (17*t[59])/3 + (911*t[60])/8 + 
       (6097*t[61])/24 - (407*t[62])/3 - (35*t[63])/4 - (3147*t[64])/16 + 
       (1457*t[65])/36 - (4795*t[66])/72 + 4*t[72] + 12*t[73] + 4*t[74] + 
       12*t[75] + 12*t[76] - t[77]/2 - 13*t[78] - 15*t[79] - (125*t[80])/2 + 
       17*t[81] - (31*t[82])/2 + (5*t[83])/3 + (905*t[84])/24 + 
       (1129*t[85])/24 - (1037*t[86])/12 - (2353*t[87])/24 - 
       (2353*t[88])/48 + (253*t[89])/16 + t[97] + 64*t[98] - 60*t[99] - 
       119*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-165*t[2])/4 + (93*t[3])/4 + (45*t[4])/4 + (137*t[5])/8 + 12*t[6] + 
       (41*t[7])/2 + 89*t[8] - (407*t[9])/8 - (1057*t[10])/8 + 
       (291*t[11])/2 - (31*t[12])/2 + (1853*t[13])/36 + (767*t[14])/48 - 
       (779*t[15])/144 - 3*t[24] - 2*t[28] + 16*t[30] + 2*t[32] - 4*t[33] + 
       5*t[34] + 12*t[35] + 26*t[36] + 5*t[37] - 3*t[39] + 7*t[40] + 
       t[41]/2 - t[42]/2 + (13*t[43])/2 - 7*t[44] - 23*t[45] + t[46] + 
       26*t[47] + 10*t[48] + (37*t[49])/8 + (9*t[50])/2 + (31*t[51])/16 + 
       t[52]/2 - (77*t[53])/8 - (205*t[54])/4 + (7*t[59])/2 - (91*t[60])/2 + 
       89*t[61] - (65*t[62])/2 + (31*t[63])/2 + (965*t[64])/4 - 
       (251*t[65])/4 - (1273*t[66])/12 + 4*t[70] - 4*t[71] + 6*t[72] + 
       8*t[73] - 19*t[74] + 18*t[75] - 9*t[76] - 17*t[77] + 43*t[78] - 
       22*t[79] + 40*t[80] + (13*t[81])/2 + (33*t[82])/2 + 62*t[83] - 
       (243*t[84])/4 - (65*t[85])/2 + 106*t[86] + (101*t[87])/2 + 24*t[88] - 
       (157*t[89])/4 - 6*t[95] + t[97] + 64*t[98] - 60*t[99] - 119*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
      ((31*t[1])/6 + t[2]/6 + (419*t[3])/24 + (481*t[4])/12 + (591*t[5])/16 + 
       (7*t[6])/2 - (1219*t[7])/24 - (341*t[8])/24 - (3941*t[9])/48 - 
       (593*t[10])/8 - (1061*t[11])/24 - (2077*t[12])/48 - (9053*t[13])/216 - 
       (2125*t[14])/48 + (977*t[15])/96 - t[22] + 2*t[25] + t[26] - 
       (2*t[27])/3 + (16*t[28])/3 + (2*t[29])/3 - (14*t[30])/3 - 16*t[31] + 
       (2*t[32])/3 - (2*t[33])/3 - (19*t[34])/3 - 20*t[35] + 8*t[37] - 
       (2*t[38])/3 + (10*t[39])/3 - (2*t[40])/3 - (2*t[41])/3 + (2*t[42])/3 + 
       (107*t[43])/6 - (8*t[44])/3 - (49*t[45])/6 + 7*t[46] - 25*t[47] + 
       (307*t[48])/12 - (115*t[49])/12 - (3*t[50])/4 - (25*t[51])/8 + 
       (7*t[52])/4 + (115*t[53])/12 + (21*t[54])/4 + t[58] + (63*t[59])/4 - 
       (1037*t[60])/48 - (1387*t[61])/48 + (17081*t[62])/96 - 
       (11785*t[63])/96 - (1801*t[64])/32 - (17221*t[65])/144 + 
       (4603*t[66])/144 + 6*t[69] - 2*t[72] + 9*t[73] + 21*t[74] - 7*t[75] - 
       (115*t[76])/6 + t[77] + (44*t[78])/3 + (113*t[80])/3 - (23*t[81])/2 + 
       t[82]/2 - t[83]/2 + (483*t[84])/16 - (967*t[85])/48 - 39*t[86] + 
       (503*t[87])/48 + (503*t[88])/96 - (941*t[89])/32 + (17*t[97])/6 - 
       114*t[98] + 134*t[99] - 92*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((3*t[1])/2 + (111*t[2])/2 - (17*t[3])/8 + 8*t[4] + (261*t[5])/16 + 
       10*t[6] - (77*t[7])/8 - (399*t[8])/8 + (123*t[9])/16 - (375*t[10])/4 - 
       (185*t[11])/8 - (243*t[12])/16 + (44*t[13])/9 - (155*t[14])/8 - 
       (1405*t[15])/96 - 6*t[18] - 2*t[19] + 6*t[21] - 2*t[22] - 5*t[23] - 
       6*t[24] + 3*t[25] + t[27] - t[28] - 2*t[30] - 2*t[31] + 3*t[32] - 
       11*t[35] - t[37] - 3*t[38] - 3*t[39] - 3*t[40] + (9*t[42])/2 + 
       (79*t[43])/2 - 8*t[44] - (69*t[45])/2 - 16*t[46] + 39*t[47] + 
       (23*t[48])/4 - (69*t[49])/8 - (95*t[50])/4 + (65*t[51])/16 + 
       (95*t[52])/4 + (69*t[53])/8 + 23*t[54] - (5*t[59])/2 + (25*t[60])/2 + 
       (149*t[61])/2 + (51*t[62])/8 + (333*t[63])/8 + (667*t[64])/4 - 
       (569*t[65])/6 - (1037*t[66])/12 - 6*t[69] - 10*t[73] + 15*t[74] + 
       6*t[75] - 12*t[76] + t[77] + 6*t[78] - (99*t[79])/2 + 88*t[80] + 
       23*t[81] - (45*t[82])/2 + (47*t[83])/2 - (13*t[84])/4 + (73*t[85])/4 - 
       (17*t[86])/2 + (77*t[87])/4 + (77*t[88])/8 + (49*t[89])/2 - 72*t[98] + 
       58*t[99] - 82*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-299*t[60])/2 + (93*t[61])/2 - 
       (63*t[62])/2 + (147*t[63])/2 + (679*t[64])/4 - (178*t[65])/3 + 
       (106*t[66])/3 - 10*t[69] + 32*t[70] - 32*t[71] - 6*t[74] + 2*t[78] + 
       51*t[79] - 18*t[80] - 10*t[81] + 22*t[82] - 17*t[83] - (13*t[84])/2 - 
       (169*t[85])/2 - 57*t[86] + (287*t[87])/2 + (287*t[88])/4 + 
       (27*t[89])/4 - 78*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]^2*((-5*t[1])/3 + (19*t[2])/3 - (41*t[3])/96 - 
       (349*t[4])/48 - (1357*t[5])/64 + (101*t[6])/16 + (2893*t[7])/96 - 
       (781*t[8])/96 + (9095*t[9])/192 - (1187*t[10])/32 - (727*t[11])/96 + 
       (1123*t[12])/192 - (15445*t[13])/864 + (2143*t[14])/64 - 
       (13025*t[15])/1152 - t[22]/4 - (10*t[27])/3 + (5*t[28])/3 + 
       (10*t[29])/3 - (4*t[30])/3 + (4*t[32])/3 - (10*t[33])/3 + 
       (40*t[34])/3 + 5*t[35] - (10*t[38])/3 + (25*t[39])/6 - (25*t[40])/3 - 
       (17*t[41])/24 + (17*t[42])/24 + (35*t[43])/12 - (17*t[44])/6 - 
       (53*t[45])/24 - t[46]/4 - (29*t[47])/4 + (11*t[48])/3 + 
       (43*t[49])/12 - (69*t[51])/16 + 10*t[52] - (43*t[53])/12 + 11*t[54] + 
       t[59]/8 + (44*t[60])/3 + (391*t[61])/12 - (1771*t[62])/48 + 
       (2003*t[63])/48 + (11*t[64])/16 - (1997*t[65])/144 - 
       (3259*t[66])/144 + (35*t[76])/3 + (27*t[77])/4 - (20*t[78])/3 + 
       (217*t[80])/12 + 5*t[81] - (29*t[82])/8 - (5*t[84])/2 + (65*t[85])/6 + 
       (113*t[86])/4 - (145*t[87])/6 - (145*t[88])/12 - (59*t[89])/4 + 
       (5*t[97])/3 + 85*t[98] - 53*t[99] - 74*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*((-8*t[1])/3 + (71*t[2])/12 + 
       (199*t[3])/96 - (131*t[4])/4 + (493*t[5])/24 - (389*t[6])/192 + 
       17*t[7] - (737*t[8])/24 + (621*t[9])/32 + t[10]/4 - (1451*t[11])/192 + 
       (223*t[12])/12 - (4649*t[13])/288 + (5429*t[14])/576 - 
       (199*t[15])/216 - (59*t[29])/24 - (65*t[30])/6 - (5*t[31])/6 - 
       (5*t[32])/4 + (5*t[33])/4 + (127*t[34])/12 - t[36]/2 + 2*t[37] - 
       (10*t[38])/3 - (19*t[39])/12 - (41*t[40])/12 - (5*t[43])/12 + 
       (19*t[44])/12 - (35*t[45])/3 + (25*t[47])/3 - (2371*t[48])/192 + 
       (79*t[49])/24 - (9*t[50])/64 - (199*t[51])/48 + (1307*t[52])/192 - 
       (79*t[53])/24 - (1141*t[54])/192 - (79*t[59])/24 - (1277*t[60])/96 - 
       (1739*t[61])/32 - (13393*t[62])/192 + (3131*t[63])/64 + 
       (11371*t[64])/192 - (14339*t[65])/288 + (881*t[66])/96 + t[69] - 
       (5*t[72])/2 - 3*t[73] + (9*t[74])/2 - 23*t[75] + (50*t[76])/3 + 
       t[77]/6 - (122*t[78])/3 + (45*t[79])/2 - 6*t[80] - (43*t[81])/6 + 
       (119*t[82])/12 + 20*t[83] - (751*t[84])/96 + (1117*t[85])/96 + 
       (311*t[86])/6 - (581*t[87])/32 - (581*t[88])/64 - (5687*t[89])/192 + 
       (19*t[97])/6 + 85*t[98] - 53*t[99] - 74*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((89*t[2])/2 - (319*t[3])/8 + (13*t[4])/4 + (23*t[5])/2 - 
       (229*t[6])/16 + 19*t[7] - (271*t[8])/2 - (19*t[9])/8 + (143*t[10])/8 - 
       (15*t[11])/16 + (61*t[12])/8 + (667*t[13])/72 + (94*t[14])/3 + 
       (469*t[15])/72 - 7*t[20] + t[22] - 3*t[24] + 2*t[28] - 24*t[29] - 
       38*t[30] - 2*t[31] - 23*t[32] + 26*t[33] - 10*t[34] - 36*t[35] - 
       6*t[36] - 2*t[37] + t[39]/2 - t[40]/2 + t[41]/2 - t[42]/2 - 4*t[43] - 
       2*t[44] + (3*t[46])/2 + 4*t[47] - (511*t[48])/16 + (21*t[49])/8 + 
       (321*t[50])/16 - (3*t[51])/16 - (321*t[52])/16 - (21*t[53])/8 - 
       (373*t[54])/16 - 7*t[59] + (89*t[60])/8 + (301*t[61])/8 - 
       (259*t[62])/16 + (83*t[63])/16 - (2407*t[64])/16 - (693*t[65])/8 - 
       (2599*t[66])/24 - 6*t[69] - 12*t[73] + 4*t[74] - 33*t[75] + 6*t[76] - 
       3*t[77] - 18*t[78] + 24*t[79] - 11*t[80] + (33*t[81])/2 - 
       (33*t[82])/2 + 24*t[83] + (135*t[84])/8 + (81*t[85])/8 - 92*t[86] - 
       (147*t[87])/8 - (235*t[88])/16 - (357*t[89])/16 - 72*t[98] + 
       58*t[99] - 74*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-32*t[1])/3 - (47*t[2])/2 + (805*t[3])/6 + 
       (113*t[4])/4 + (3389*t[5])/24 - (5735*t[6])/24 - (101*t[7])/12 - 
       (7421*t[8])/12 - (2209*t[9])/8 - (2021*t[10])/24 + (1175*t[11])/24 - 
       (713*t[12])/6 + (5527*t[13])/72 - (12479*t[14])/48 - 
       (12769*t[15])/432 + 4*t[20] - (64*t[23])/3 + 10*t[24] + 10*t[27] + 
       13*t[29] + (38*t[30])/3 - 12*t[31] - (274*t[32])/3 + (82*t[33])/3 + 
       (142*t[34])/3 + 12*t[35] - 10*t[36] - (4*t[37])/3 + 6*t[38] - 
       22*t[39] + (113*t[40])/3 - 7*t[41] + 7*t[42] + (23*t[43])/6 + 
       (121*t[44])/2 + (41*t[45])/3 + t[46] - 20*t[47] - (969*t[48])/8 - 
       (207*t[49])/8 + (1169*t[50])/24 + (303*t[51])/16 - (2065*t[52])/24 + 
       (223*t[53])/8 - (3571*t[54])/24 - (34*t[59])/3 - (739*t[60])/3 - 
       (1513*t[61])/6 + (824*t[62])/3 + 190*t[63] + (1685*t[64])/12 - 
       (1108*t[65])/9 + (1543*t[66])/6 - (64*t[70])/3 + (64*t[71])/3 + 
       6*t[72] - 16*t[73] + (16*t[74])/3 + 20*t[75] - (76*t[76])/3 - 
       (37*t[77])/3 + 42*t[78] + 22*t[79] - (104*t[80])/3 - (94*t[81])/3 + 
       86*t[82] + 40*t[83] - (91*t[84])/2 - (39*t[85])/2 - (350*t[86])/3 + 
       (473*t[87])/2 + (331*t[88])/12 - 59*t[89] + (40*t[95])/3 + 
       (64*t[96])/3 - (94*t[97])/3 - 112*t[98] + 192*t[99] - 70*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((109*t[1])/3 - (305*t[2])/6 - (191*t[3])/3 - (235*t[4])/4 - 
       (535*t[5])/12 + (1367*t[6])/12 + (2767*t[7])/12 + (497*t[8])/4 + 
       (419*t[9])/2 - (1591*t[10])/24 + (779*t[11])/3 + (1769*t[12])/24 + 
       (7525*t[13])/72 + (1559*t[14])/16 - (1991*t[15])/72 + (64*t[18])/3 - 
       12*t[20] + (64*t[21])/3 + 12*t[22] - 16*t[23] + (70*t[24])/3 - 
       (4*t[25])/3 - (22*t[26])/3 - (20*t[27])/3 + 4*t[28] + 4*t[29] - 
       12*t[31] - (34*t[32])/3 + 8*t[33] + (76*t[34])/3 - 4*t[35] + 2*t[36] + 
       4*t[37] + 30*t[38] - 2*t[39] + (22*t[40])/3 + (28*t[41])/3 - 
       (2*t[42])/3 - (547*t[43])/12 + (32*t[44])/3 + 4*t[45] + 3*t[46] + 
       (224*t[47])/3 - t[48]/6 - (943*t[49])/24 + (131*t[50])/6 + 
       (459*t[51])/16 - (527*t[52])/6 + (895*t[53])/24 - (131*t[54])/12 + 
       14*t[58] - (53*t[59])/3 + (1497*t[60])/4 + (6845*t[61])/12 - 
       (12013*t[62])/24 - (14747*t[63])/24 + (3707*t[64])/8 + 
       (1201*t[65])/4 - (15889*t[66])/36 - (128*t[70])/3 + (128*t[71])/3 + 
       24*t[72] + 4*t[73] + (140*t[74])/3 + 20*t[75] + (50*t[76])/3 - 
       (46*t[77])/3 + (64*t[78])/3 - 12*t[79] + (538*t[80])/3 - 
       (26*t[81])/3 - (38*t[82])/3 + 18*t[83] + (845*t[84])/12 - 
       (265*t[85])/4 + (601*t[86])/3 - (205*t[87])/12 - (205*t[88])/24 + 
       (3409*t[89])/24 - 6*t[97] - 112*t[98] + 192*t[99] - 70*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (4*t[99] - 58*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(-4*t[59] - (31*t[60])/2 + (69*t[61])/2 + 
       (85*t[62])/3 - (382*t[63])/3 + (295*t[64])/12 + (1553*t[65])/18 + 
       (517*t[66])/18 + 34*t[74] + 4*t[75] + 4*t[78] + 28*t[79] + 24*t[80] + 
       t[81] + 3*t[82] - (52*t[83])/3 + (26*t[84])/3 - (151*t[85])/6 - 
       (74*t[86])/3 + (23*t[87])/6 + (23*t[88])/12 - (257*t[89])/12 + 
       4*t[99] - 58*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*(-t[1]/3 + (31*t[2])/3 - 
       (901*t[3])/24 + (85*t[4])/2 - (191*t[5])/12 + (1547*t[6])/48 - 
       33*t[7] + (161*t[8])/6 + (95*t[9])/8 + (29*t[10])/4 + (893*t[11])/48 - 
       (10*t[12])/3 + (883*t[13])/24 + (6463*t[14])/144 + (3817*t[15])/216 + 
       10*t[28] - (13*t[29])/6 + (13*t[30])/3 + (4*t[31])/3 - 8*t[32] + 
       8*t[33] + (11*t[34])/3 - 8*t[35] - 8*t[36] - 2*t[37] - (2*t[38])/3 - 
       (2*t[39])/3 - t[40]/3 - t[41] + t[42] - (10*t[43])/3 - (37*t[44])/3 - 
       (7*t[45])/3 + t[46] - t[47]/3 + (445*t[48])/48 + (103*t[49])/12 - 
       (185*t[50])/16 - (97*t[51])/24 + (619*t[52])/48 - (103*t[53])/12 + 
       (307*t[54])/48 + (13*t[59])/6 + (361*t[60])/24 + (221*t[61])/8 + 
       (4117*t[62])/24 - (1459*t[63])/24 - (8347*t[64])/48 + (190*t[65])/3 + 
       (275*t[66])/72 + 6*t[69] + (16*t[72])/3 - 4*t[73] + 36*t[74] - 
       4*t[75] + (13*t[76])/3 + (47*t[77])/6 - (10*t[78])/3 + 15*t[79] - 
       (71*t[80])/2 + 2*t[81] + (49*t[82])/6 - 54*t[83] + (21*t[84])/8 + 
       (647*t[85])/24 - (729*t[86])/4 - (1241*t[87])/24 - (1241*t[88])/48 + 
       (35*t[89])/48 + t[97]/3 + 68*t[98] - 44*t[99] - 56*t[100])*
      \[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - u]*(-66*t[3] + 108*t[4] - 
       222*t[5] + 57*t[6] - 84*t[7] + 66*t[8] + 204*t[9] + 474*t[10] - 
       192*t[11] + 114*t[12] - (305*t[13])/6 + 78*t[14] - 36*t[15] - 
       108*t[43] + 18*t[45] - 36*t[47] + 60*t[60] - 120*t[61] + 243*t[62] - 
       3*t[63] - 759*t[64] + 104*t[65] + 384*t[66] - 348*t[80] - 468*t[86] + 
       60*t[89] - 96*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{0, 1, 1, 1, 1}, 1 - v]*(32*t[1] - 15*t[3] - 48*t[4] - 24*t[5] + 
       183*t[6] - 288*t[7] + 648*t[8] - 114*t[9] - 36*t[10] - 177*t[11] + 
       6*t[12] - (46*t[13])/3 - 33*t[14] + (19*t[15])/2 + 78*t[29] + 
       24*t[30] - 156*t[44] + 159*t[48] - 36*t[49] - 147*t[50] + 18*t[51] + 
       147*t[52] + 36*t[53] + 177*t[54] - 170*t[60] - 248*t[61] - 18*t[62] - 
       410*t[63] + 1137*t[64] + (1358*t[65])/3 + (662*t[66])/3 - 96*t[70] + 
       96*t[71] - 48*t[74] - 156*t[76] + 164*t[78] + 224*t[80] + 80*t[81] - 
       80*t[82] - 58*t[84] + 42*t[85] + 264*t[86] + 172*t[87] + 86*t[88] + 
       421*t[89] - 96*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-4*t[1])/3 + (38*t[2])/3 - (121*t[3])/24 + (529*t[4])/12 - 
       (69*t[5])/16 + 18*t[6] - (139*t[7])/24 + (355*t[8])/24 + 
       (1399*t[9])/48 - (205*t[10])/8 + (763*t[11])/24 + (95*t[12])/48 + 
       (8095*t[13])/216 - (173*t[14])/48 - (305*t[15])/32 - (2*t[18])/3 + 
       t[22] - (2*t[27])/3 - (2*t[28])/3 + (2*t[29])/3 + (4*t[30])/3 - 
       10*t[31] + (2*t[32])/3 - (2*t[33])/3 + (8*t[34])/3 - 4*t[35] - 
       2*t[37] - (2*t[38])/3 + (4*t[39])/3 - (5*t[40])/3 - t[41]/6 + 
       t[42]/6 - (20*t[43])/3 - (20*t[44])/3 - (103*t[45])/6 - 7*t[46] + 
       38*t[47] - (35*t[48])/12 + (71*t[49])/12 + (47*t[50])/4 - 
       (15*t[51])/8 - (39*t[52])/4 - (71*t[53])/12 - (81*t[54])/4 - t[59]/2 - 
       (367*t[60])/24 - (263*t[61])/24 + (7487*t[62])/48 + (571*t[63])/16 - 
       (5765*t[64])/48 - (467*t[65])/4 + (859*t[66])/8 - 6*t[69] + 8*t[72] - 
       16*t[73] + (49*t[74])/2 - 6*t[75] + (37*t[76])/3 + t[77]/2 - 
       (4*t[78])/3 - 4*t[79] - (53*t[80])/6 - (43*t[81])/4 + (7*t[82])/4 + 
       (119*t[83])/3 - (67*t[84])/3 - (241*t[85])/8 - (1397*t[86])/12 + 
       (153*t[87])/8 + (153*t[88])/16 - (3311*t[89])/48 - (5*t[97])/3 + 
       68*t[98] - 44*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((57*t[3])/8 + (9*t[4])/4 - (77*t[5])/16 - (45*t[6])/8 - (23*t[7])/8 - 
       (45*t[8])/8 - (83*t[9])/16 - (141*t[10])/8 - (7*t[11])/2 - 
       (31*t[12])/16 - (109*t[13])/12 + (37*t[14])/16 - (1865*t[15])/288 - 
       t[22] - 2*t[30] - 2*t[32] + 4*t[35] - (3*t[41])/2 + (3*t[42])/2 + 
       (9*t[43])/4 - 2*t[44] + (13*t[45])/2 - 13*t[47] + (33*t[48])/8 - 
       t[49]/2 - (51*t[50])/8 - (3*t[51])/4 + (51*t[52])/8 + t[53]/2 + 
       (63*t[54])/8 + (179*t[60])/24 - (221*t[61])/8 + (77*t[62])/16 + 
       (2657*t[63])/48 + (449*t[64])/48 + (923*t[65])/72 - (437*t[66])/72 - 
       t[72]/6 + (13*t[73])/2 + 4*t[74] + (23*t[75])/2 - 2*t[76] + 2*t[77] + 
       (7*t[78])/2 - 2*t[80] + (23*t[81])/6 + (29*t[82])/6 - (80*t[83])/3 + 
       (157*t[84])/24 + (283*t[85])/24 + 8*t[86] - (547*t[87])/24 - 
       (547*t[88])/48 - (79*t[89])/48 - 12*t[98] + 22*t[99] - 45*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      ((27*t[1])/4 - (329*t[2])/24 + (41*t[3])/32 - (77*t[4])/48 + 
       (1801*t[5])/192 + (133*t[6])/6 + (87*t[7])/32 + (665*t[8])/32 - 
       (5081*t[9])/192 - (3769*t[10])/96 + (3683*t[11])/96 - 
       (5117*t[12])/192 + (331*t[13])/288 + (451*t[14])/64 + 
       (10415*t[15])/1152 - t[22]/4 + 3*t[24] - (5*t[25])/3 - (11*t[27])/3 + 
       (7*t[28])/3 + (2*t[29])/3 - (7*t[30])/6 + (17*t[31])/3 - (5*t[32])/6 - 
       t[33]/6 + (2*t[34])/3 - (2*t[35])/3 - (7*t[37])/3 + (3*t[38])/2 + 
       (11*t[39])/6 + (7*t[40])/12 + (35*t[41])/24 - (35*t[42])/24 + 
       (101*t[43])/12 - (11*t[44])/3 - (55*t[45])/24 + (11*t[46])/4 + 
       2*t[47] + (217*t[48])/48 + (55*t[49])/12 - (37*t[50])/16 + 
       (193*t[51])/48 + (45*t[52])/16 - (55*t[53])/12 - (27*t[54])/16 - 
       2*t[59] - (137*t[60])/24 + (1013*t[61])/24 - (207*t[62])/8 + 
       (461*t[63])/24 + (2321*t[64])/24 - (1585*t[65])/48 - 
       (5981*t[66])/144 - (16*t[69])/3 + (10*t[70])/3 - (10*t[71])/3 - 
       4*t[73] + (2*t[74])/3 + (4*t[75])/3 - (41*t[76])/12 + (7*t[77])/4 - 
       (55*t[79])/6 + (227*t[80])/12 + (65*t[81])/12 - (67*t[82])/8 + 
       (35*t[83])/3 - (29*t[84])/24 + (9*t[85])/8 + (97*t[86])/12 + 
       (175*t[87])/8 + (175*t[88])/16 + (839*t[89])/48 + t[97]/12 - 
       17*t[98] + 15*t[99] - (133*t[100])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (-t[59]/2 + 6*t[60] + (1021*t[61])/24 + (893*t[62])/32 - 
       (3727*t[63])/96 - (1775*t[64])/24 - (2231*t[65])/144 - 
       (2827*t[66])/144 - t[69] + 2*t[72] + 21*t[74] - 2*t[75] - 12*t[78] + 
       t[79] + 5*t[80] - 5*t[81] + 6*t[82] - (7*t[83])/4 + (7*t[84])/6 - 
       (29*t[85])/12 - 62*t[86] - 6*t[87] - 3*t[88] - (773*t[89])/24 + 
       6*t[99] - (87*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*(-t[1] + 3*t[2] + (81*t[3])/8 - 
       (13*t[4])/2 + (65*t[5])/4 - (161*t[6])/16 - (19*t[7])/2 - 
       (63*t[8])/2 - (61*t[9])/8 + (9*t[10])/2 - (71*t[11])/16 + 
       (3*t[12])/2 - (229*t[13])/36 - (677*t[14])/48 - (287*t[15])/72 - 
       (9*t[30])/2 - t[32]/2 + t[33]/2 - t[34] + t[36] + 2*t[37] + t[39] - 
       t[40] + 2*t[44] - t[46]/2 - (87*t[48])/16 - (3*t[49])/2 - 
       (7*t[50])/16 + (3*t[51])/8 + (7*t[52])/16 + (3*t[53])/2 - 
       (121*t[54])/16 + (7*t[59])/4 + (463*t[60])/48 - (577*t[61])/48 + 
       (35*t[62])/24 + (62*t[63])/3 - (1979*t[64])/96 - (209*t[65])/24 - 
       (2021*t[66])/48 + (22*t[72])/3 + (5*t[73])/2 - 4*t[74] - 
       (11*t[75])/2 + 2*t[76] - (7*t[77])/4 - (27*t[78])/2 + 6*t[79] + 
       (15*t[80])/4 + (11*t[81])/6 - (107*t[82])/12 - 3*t[83] + 
       (143*t[84])/16 - (95*t[85])/48 - (289*t[86])/24 - (229*t[87])/48 - 
       (229*t[88])/96 + (265*t[89])/96 - 12*t[98] + 22*t[99] - 41*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
      (-t[1]/12 - (505*t[2])/24 + (325*t[3])/32 + (91*t[4])/4 - 
       (313*t[5])/16 + (241*t[6])/64 + (237*t[7])/8 + (35*t[8])/6 + 
       (2005*t[9])/96 - (55*t[10])/24 + (5797*t[11])/192 - (201*t[12])/16 - 
       (185*t[13])/288 + (10265*t[14])/576 + (311*t[15])/288 + t[24] - 
       8*t[28] - (33*t[29])/8 - (23*t[30])/3 - (2*t[31])/3 - (3*t[32])/4 - 
       (13*t[33])/4 - (25*t[34])/12 + 3*t[35] - (7*t[36])/2 + 2*t[37] - 
       t[38]/6 + t[39]/12 - t[40]/3 + t[41]/2 - t[42]/2 - (11*t[43])/6 + 
       (43*t[44])/12 - (7*t[45])/12 - t[46]/2 - (7*t[47])/12 - 
       (425*t[48])/64 + (125*t[49])/24 + (973*t[50])/192 - (149*t[51])/48 - 
       (303*t[52])/64 - (125*t[53])/24 - (1421*t[54])/192 + (5*t[59])/3 + 
       (1063*t[60])/32 + (4285*t[61])/96 - (5843*t[62])/192 + 
       (337*t[63])/64 - (6415*t[64])/192 + (407*t[65])/288 - (483*t[66])/32 + 
       t[72] - 4*t[73] + (5*t[74])/2 - (38*t[75])/3 + (49*t[76])/12 + 
       t[77]/12 - (37*t[78])/3 + (16*t[79])/3 - (21*t[80])/2 - 
       (37*t[81])/12 + (17*t[82])/6 + (25*t[83])/2 + (1103*t[84])/96 + 
       (1483*t[85])/96 + (22*t[86])/3 - (1159*t[87])/32 - (3829*t[88])/192 + 
       (791*t[89])/192 + t[97]/12 - 17*t[98] + 15*t[99] - (121*t[100])/3)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      (29*t[1] + 41*t[2] + 16*t[3] + (227*t[4])/2 - 111*t[5] - (241*t[6])/4 + 
       (53*t[7])/2 - (107*t[8])/2 + 85*t[9] + (23*t[10])/4 - (71*t[11])/4 - 
       (203*t[12])/4 + (292*t[13])/9 + (785*t[14])/24 - (191*t[15])/12 + 
       12*t[18] - 8*t[19] + 22*t[21] - 14*t[23] + 10*t[24] - 2*t[25] + 
       2*t[27] + 14*t[31] - 4*t[37] + 2*t[38] - 6*t[41] + 9*t[42] - 
       (41*t[43])/2 - 2*t[44] - 21*t[45] + 16*t[47] - (103*t[48])/4 + 
       (99*t[49])/4 + (21*t[50])/4 - (63*t[51])/8 - (21*t[52])/4 - 
       (99*t[53])/4 - (123*t[54])/4 - 16*t[59] + 81*t[60] - 63*t[61] + 
       (23*t[62])/2 - (131*t[63])/2 - (943*t[64])/2 - (113*t[65])/3 - 
       (307*t[66])/3 - 20*t[69] - 20*t[70] + 20*t[71] + 8*t[74] - 8*t[75] + 
       4*t[78] - 24*t[79] - 64*t[80] - 16*t[82] + 54*t[83] + 7*t[84] + 
       63*t[85] - 85*t[87] - (85*t[88])/2 - (5*t[89])/2 + 56*t[99] - 
       40*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      (38*t[2] + (85*t[3])/2 + (69*t[4])/2 + (145*t[5])/4 + (75*t[6])/2 - 
       (115*t[7])/2 + (269*t[8])/2 - (13*t[9])/4 - (93*t[10])/4 + 
       (21*t[11])/2 - 5*t[12] + (1219*t[13])/36 - (79*t[14])/24 + 
       (661*t[15])/24 + 6*t[22] - 4*t[28] + 6*t[29] + 16*t[32] - 32*t[33] + 
       2*t[34] + 4*t[35] - 6*t[37] - 3*t[41] + 3*t[42] - t[43] - 63*t[44] - 
       6*t[47] + 21*t[48] + (19*t[49])/4 - 36*t[50] - (19*t[51])/8 + 
       36*t[52] - (19*t[53])/4 + (7*t[54])/2 - 13*t[59] + (29*t[60])/2 - 
       (141*t[61])/2 + (327*t[62])/4 - (359*t[63])/4 - (441*t[64])/4 - 
       (15*t[65])/2 + (5*t[66])/2 - 10*t[69] - 12*t[70] + 12*t[71] - 
       16*t[73] + 4*t[75] + 2*t[77] + 2*t[78] + 4*t[80] - 2*t[81] + 2*t[82] - 
       9*t[83] + (19*t[84])/2 + (27*t[85])/2 - 40*t[86] - (93*t[87])/2 - 
       (93*t[88])/4 + (111*t[89])/4 + 56*t[99] - 40*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      (t[1] - (245*t[2])/4 + (149*t[3])/8 + 113*t[4] - (289*t[5])/4 + 
       (1187*t[6])/16 - (505*t[7])/8 + (745*t[8])/8 - (29*t[9])/2 - 
       (57*t[10])/8 + (527*t[11])/16 - (233*t[12])/4 - (4759*t[13])/144 - 
       (337*t[14])/48 - (3191*t[15])/144 + 6*t[19] - 8*t[20] - 6*t[21] - 
       2*t[22] - 2*t[23] - 3*t[24] - 10*t[25] + 8*t[26] - 4*t[27] - 4*t[28] - 
       (7*t[29])/2 - 7*t[30] - 10*t[31] - 13*t[32] - 14*t[33] - 6*t[34] - 
       6*t[35] - t[36] - 2*t[37] + 15*t[39] + 5*t[40] + 5*t[41] - 4*t[42] - 
       (119*t[43])/8 - (105*t[44])/4 - 27*t[45] + (17*t[46])/2 + 40*t[47] + 
       (495*t[48])/16 + (83*t[49])/4 + (19*t[50])/16 + (3*t[51])/2 - 
       (115*t[52])/16 - (83*t[53])/4 + (13*t[54])/16 - 2*t[57] + 
       (17*t[59])/2 - (119*t[60])/8 + (311*t[61])/8 + (1217*t[62])/16 + 
       (1399*t[63])/16 - (593*t[64])/16 - (663*t[65])/8 + (2929*t[66])/24 + 
       8*t[69] + 8*t[72] - 14*t[73] + 32*t[74] + 32*t[75] - 9*t[76] - 
       5*t[77] + 14*t[78] + 10*t[79] - 29*t[80] - 13*t[81] + 19*t[82] + 
       19*t[83] - (21*t[84])/8 - (389*t[85])/8 - (271*t[86])/2 + 
       (253*t[87])/8 + (253*t[88])/16 - (477*t[89])/16 + 2*t[97] - 40*t[98] + 
       52*t[99] - 36*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-3*t[1])/2 - (249*t[2])/4 - (135*t[3])/8 + 
       134*t[4] - (287*t[5])/4 + (963*t[6])/16 - (321*t[7])/8 + 
       (1929*t[8])/8 + 10*t[9] + (411*t[10])/8 + (1183*t[11])/16 - 
       (329*t[12])/4 + (1199*t[13])/48 + (2279*t[14])/48 - (547*t[15])/144 - 
       2*t[19] + 4*t[20] + 4*t[21] - 10*t[22] - 4*t[23] + 19*t[24] + 
       6*t[28] + (7*t[29])/2 - 21*t[30] - 2*t[31] - 17*t[32] + 12*t[33] + 
       5*t[34] + 12*t[35] - 25*t[36] + 18*t[37] - 2*t[38] + 2*t[39] - 
       5*t[40] + 2*t[41] - 2*t[42] - (95*t[43])/8 - (157*t[44])/4 + t[45] - 
       t[46]/2 - 4*t[47] + (863*t[48])/16 + (137*t[49])/4 - (653*t[50])/16 - 
       (31*t[51])/2 + (717*t[52])/16 - (137*t[53])/4 + (157*t[54])/16 - 
       2*t[57] + 8*t[59] + (249*t[60])/2 + 131*t[61] + (943*t[62])/16 - 
       (459*t[63])/16 - (697*t[64])/4 - (803*t[65])/6 - (209*t[66])/4 + 
       4*t[69] + 8*t[72] - 6*t[73] + (85*t[74])/2 + 30*t[75] - 4*t[76] + 
       4*t[77] + 9*t[78] - 2*t[79] - 95*t[80] - (131*t[81])/4 + 
       (203*t[82])/4 + 5*t[83] + (135*t[84])/8 + (67*t[85])/4 - 
       (295*t[86])/2 - (267*t[87])/4 - (259*t[88])/8 + (241*t[89])/8 + 
       2*t[97] - 40*t[98] + 52*t[99] - 36*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (6*t[99] - (71*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*(-11*t[2] + (41*t[3])/4 - 
       18*t[4] + (87*t[5])/8 - (53*t[6])/4 + (37*t[7])/4 - (49*t[8])/4 - 
       (157*t[9])/8 + 9*t[10] - 24*t[11] - (41*t[12])/8 - (355*t[13])/12 - 
       (29*t[14])/12 - (151*t[15])/48 + (2*t[18])/3 - 2*t[19] + 2*t[21] - 
       2*t[23] - 2*t[28] + 6*t[31] + 4*t[37] - t[41] + t[42] + 3*t[43] + 
       6*t[44] + 14*t[45] + 3*t[46] - 30*t[47] + (19*t[48])/4 + (5*t[49])/4 - 
       (37*t[50])/4 - (7*t[51])/8 + (37*t[52])/4 - (5*t[53])/4 + 
       (35*t[54])/4 - 3*t[59] + 7*t[60] - 19*t[61] + (79*t[62])/4 + 
       (83*t[63])/4 + (7*t[64])/2 - (40*t[65])/3 + (68*t[66])/3 - 2*t[69] - 
       2*t[73] + 4*t[75] + 2*t[77] + 4*t[79] - 22*t[80] - 2*t[81] + 5*t[82] - 
       15*t[83] + 4*t[85] - 22*t[86] - 10*t[87] - 5*t[88] + (11*t[89])/2 + 
       12*t[98] - 25*t[99] - (61*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((-115*t[60])/12 + (119*t[61])/4 + (67*t[62])/8 - (613*t[63])/24 + 
       (59*t[64])/24 - (1183*t[65])/36 - (107*t[66])/9 + (8*t[72])/3 - 
       4*t[73] + 5*t[74] - 16*t[75] - 9*t[78] + (3*t[79])/2 - t[80] - 
       (10*t[81])/3 + (17*t[82])/3 - (23*t[83])/6 - (5*t[84])/3 - 
       (37*t[85])/6 - t[86]/2 + (31*t[87])/6 + (31*t[88])/12 - 
       (295*t[89])/24 + 24*t[98] - 28*t[99] - 30*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((8*t[1])/3 + (35*t[2])/6 + (671*t[3])/24 - (19*t[4])/2 + (67*t[5])/3 - 
       (217*t[6])/48 - 17*t[7] - (55*t[8])/6 - (79*t[9])/8 - (13*t[10])/4 - 
       (199*t[11])/48 - (121*t[12])/12 + (65*t[13])/24 - (1241*t[14])/144 - 
       (2803*t[15])/108 + (47*t[29])/6 - (17*t[30])/3 - (20*t[31])/3 - 
       t[34]/3 - 6*t[36] - 6*t[37] - (2*t[38])/3 + t[39]/3 - (4*t[40])/3 - 
       (10*t[43])/3 - (37*t[44])/3 - (7*t[45])/3 + (5*t[47])/3 - 
       (431*t[48])/48 + (109*t[49])/12 - (237*t[50])/16 - (121*t[51])/24 + 
       (775*t[52])/48 - (109*t[53])/12 - (257*t[54])/48 - (10*t[59])/3 + 
       (245*t[60])/6 - (565*t[61])/4 - (853*t[62])/24 - (537*t[63])/8 + 
       (775*t[64])/24 - (1679*t[65])/36 - (313*t[66])/6 - 6*t[69] + 6*t[72] + 
       2*t[73] - 4*t[74] - 28*t[75] + (85*t[76])/3 + (4*t[77])/3 - 
       (112*t[78])/3 + 19*t[79] + 14*t[80] - (22*t[81])/3 - (2*t[82])/3 + 
       30*t[83] - (233*t[84])/6 - (19*t[85])/6 + (293*t[86])/3 - 
       (63*t[87])/4 - (63*t[88])/8 - (427*t[89])/12 - (17*t[97])/3 + 
       56*t[98] - 64*t[99] - 27*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (-6*t[1] + 71*t[2] - (21*t[3])/4 - (103*t[4])/2 - (1269*t[5])/8 - 
       (395*t[6])/12 + (9*t[7])/2 - 115*t[8] + (1759*t[9])/8 + 
       (791*t[10])/4 - 234*t[11] + (1455*t[12])/8 - (1651*t[13])/18 + 
       (961*t[14])/12 - (3197*t[15])/48 + 8*t[18] - 4*t[20] + 8*t[21] + 
       2*t[22] - 24*t[23] - 8*t[24] + 10*t[25] - 6*t[26] + 10*t[27] + 
       4*t[28] - 12*t[30] + 8*t[31] - 8*t[32] + 8*t[33] - 4*t[34] + 
       20*t[35] - 6*t[38] - 8*t[39] - 2*t[40] + 6*t[41] - (28*t[42])/3 - 
       (211*t[43])/4 - 18*t[44] + 26*t[45] - 3*t[46] - 84*t[47] - 
       (117*t[48])/4 - (239*t[49])/4 - (181*t[50])/4 + (5*t[51])/8 + 
       (165*t[52])/4 + (239*t[53])/4 + (587*t[54])/4 - 2*t[58] + 
       (67*t[59])/3 + 92*t[60] + 305*t[61] - (8335*t[62])/24 - 
       (101*t[63])/24 - (3647*t[64])/12 + (9583*t[65])/36 - (1021*t[66])/9 - 
       12*t[72] + 28*t[73] - 58*t[74] + 2*t[76] + 19*t[77] - 34*t[78] - 
       6*t[79] - 121*t[80] + 39*t[81] - 12*t[82] - (34*t[83])/3 + 
       (152*t[84])/3 + (539*t[85])/6 + (71*t[86])/6 - (511*t[87])/6 - 
       (511*t[88])/12 + (611*t[89])/6 + 16*t[98] - 84*t[99] - 24*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (4*t[1] + (163*t[2])/6 + (297*t[3])/4 - (83*t[4])/2 + (669*t[5])/4 - 
       (471*t[6])/8 - (547*t[7])/2 - 20*t[8] - 257*t[9] + (643*t[10])/4 - 
       (1057*t[11])/8 + 50*t[12] - (241*t[13])/12 - (973*t[14])/12 - 
       (761*t[15])/72 + 6*t[27] - 4*t[28] + 16*t[29] + 10*t[30] - 4*t[32] + 
       2*t[33] + 10*t[34] + 4*t[35] - 12*t[36] - 2*t[37] + 2*t[38] + 
       8*t[39] - 6*t[40] + t[41] - t[42] - 9*t[43] - (107*t[44])/2 + 
       16*t[45] + 4*t[46] - 22*t[47] + (291*t[48])/8 - (23*t[49])/4 - 
       (769*t[50])/8 - (53*t[51])/8 + (721*t[52])/8 + (95*t[53])/4 + 
       (125*t[54])/8 + (28*t[59])/3 - (247*t[60])/4 - (81*t[61])/4 + 
       (121*t[62])/2 + 99*t[63] - (1347*t[64])/8 - (913*t[65])/3 - 
       (569*t[66])/12 + 4*t[69] - 8*t[70] + 8*t[71] - 10*t[72] + 16*t[73] - 
       22*t[74] - 20*t[75] - 12*t[76] + 6*t[77] + 4*t[78] - 34*t[79] + 
       t[80] - 19*t[81] - 12*t[82] + 60*t[83] - (221*t[84])/4 - 
       (555*t[85])/4 - (219*t[86])/2 - (245*t[87])/4 - (137*t[88])/8 - 
       (705*t[89])/8 - 12*t[95] + 24*t[96] + 2*t[97] + 16*t[98] - 84*t[99] - 
       24*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((-9*t[2])/2 + (91*t[3])/4 - (43*t[4])/2 - 8*t[5] - 
       (177*t[6])/8 + 10*t[7] - (35*t[8])/2 - (15*t[9])/4 + (33*t[10])/4 - 
       (155*t[11])/8 - (11*t[12])/4 - (509*t[13])/18 - (117*t[14])/4 - 
       20*t[15] - 2*t[20] + 2*t[22] - 6*t[28] + (15*t[29])/2 - (11*t[30])/2 + 
       2*t[31] + (7*t[32])/2 - (7*t[33])/2 - 2*t[34] + 12*t[35] + 2*t[36] + 
       2*t[37] + t[39]/2 - t[40]/2 + t[41] - t[42] + 3*t[43] + 6*t[44] + 
       2*t[47] - (59*t[48])/8 - (3*t[49])/4 + (13*t[50])/8 + (3*t[51])/8 - 
       (13*t[52])/8 + (3*t[53])/4 - (21*t[54])/8 + 2*t[59] - 5*t[60] - 
       (11*t[61])/4 - (2159*t[62])/48 + (2639*t[63])/48 + (2321*t[64])/24 - 
       (385*t[65])/72 + (457*t[66])/18 - 2*t[69] - 18*t[74] - 6*t[75] + 
       2*t[76] - 4*t[77] - 19*t[78] + 4*t[79] + 5*t[80] + t[81] - 8*t[82] + 
       (49*t[83])/6 - t[84]/3 - (25*t[85])/6 + (118*t[86])/3 + (31*t[87])/3 + 
       (31*t[88])/6 - (79*t[89])/24 + 12*t[98] - 25*t[99] - (45*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-35*t[1])/4 - (189*t[2])/8 + (65*t[3])/32 - (1439*t[4])/24 - 
       (1191*t[5])/16 + (3997*t[6])/64 + (1089*t[7])/8 + (2149*t[8])/12 + 
       (22909*t[9])/96 - (2923*t[10])/48 + (1315*t[11])/64 + 
       (1181*t[12])/24 - (19297*t[13])/864 + (48239*t[14])/576 - 
       (9085*t[15])/288 + 2*t[20] - 5*t[22] + (8*t[23])/3 + 14*t[24] - 
       (22*t[27])/3 - (4*t[28])/3 + (3*t[29])/8 - 29*t[30] + (44*t[31])/3 + 
       (53*t[32])/4 - (33*t[33])/4 + (77*t[34])/4 + 46*t[35] - (47*t[36])/2 - 
       (16*t[37])/3 - (55*t[38])/6 + (115*t[39])/12 - (55*t[40])/3 - 
       (4*t[41])/3 + (4*t[42])/3 - (101*t[43])/12 - (41*t[44])/4 - 
       (151*t[45])/12 - (9*t[46])/2 + (349*t[47])/12 + (6697*t[48])/192 + 
       (377*t[49])/16 - (6815*t[50])/192 - (815*t[51])/96 + (4213*t[52])/64 - 
       (393*t[53])/16 + (4237*t[54])/64 - (13*t[59])/2 + (3927*t[60])/32 + 
       (13069*t[61])/96 - (23217*t[62])/64 - (19117*t[63])/192 + 
       (18235*t[64])/64 + (32575*t[65])/288 - (42707*t[66])/288 - 6*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 + 5*t[72] + 12*t[73] - (19*t[74])/6 - 
       25*t[75] + (151*t[76])/4 + (121*t[77])/12 - (142*t[78])/3 + 38*t[79] + 
       (307*t[80])/6 + (39*t[81])/4 - (89*t[82])/6 - t[83] + 
       (2327*t[84])/96 + (2441*t[85])/32 + (989*t[86])/3 - (13237*t[87])/96 - 
       (3367*t[88])/64 + (4231*t[89])/192 + (4*t[95])/3 + (4*t[96])/3 + 
       (27*t[97])/4 + 279*t[98] - 231*t[99] - 21*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*(-4*t[1] - 46*t[2] + 
       (5*t[3])/2 - 49*t[4] + (241*t[5])/4 + (155*t[6])/2 - 49*t[7] - 
       36*t[8] - (293*t[9])/4 - (237*t[10])/2 + 50*t[11] + (219*t[12])/4 - 
       (188*t[13])/3 - (313*t[14])/4 - (569*t[15])/24 - 26*t[18] + 6*t[19] - 
       34*t[21] + 22*t[23] - 22*t[24] + 2*t[25] - 2*t[27] - 14*t[31] + 
       4*t[37] - 2*t[38] + 6*t[41] + 4*t[42] + (13*t[43])/2 + 2*t[44] - 
       32*t[45] + t[46] + 64*t[47] + 27*t[48] - (47*t[49])/2 - 4*t[50] + 
       (13*t[51])/2 + 4*t[52] + (47*t[53])/2 + 27*t[54] + 8*t[59] - 
       54*t[60] + 99*t[61] + (143*t[62])/2 + (157*t[63])/2 + (835*t[64])/2 + 
       (56*t[65])/3 + 166*t[66] + 20*t[69] + 40*t[70] - 42*t[71] + 4*t[74] + 
       8*t[75] - 4*t[78] + 24*t[79] + 44*t[80] - 6*t[81] + 22*t[82] - 
       50*t[83] + t[84] - 62*t[85] - 46*t[86] + 64*t[87] + 32*t[88] - 
       20*t[89] - 56*t[99] - 20*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*((-19*t[2])/2 - 55*t[3] - 
       32*t[4] - 16*t[5] - (35*t[6])/4 + (19*t[7])/2 - (47*t[8])/2 - 
       56*t[9] + 12*t[10] - (65*t[11])/4 + 9*t[12] - (421*t[13])/36 + 
       (137*t[14])/6 - (206*t[15])/9 + 2*t[18] - 10*t[22] + 4*t[28] - 
       20*t[29] - 6*t[30] - 3*t[32] + 18*t[33] + 30*t[34] - 4*t[35] + 
       6*t[37] + 3*t[41] - 3*t[42] + t[43] + 41*t[44] + 6*t[47] - 
       (35*t[48])/4 - (15*t[49])/2 + (5*t[50])/4 + (15*t[51])/4 - 
       (5*t[52])/4 + (15*t[53])/2 + (87*t[54])/4 + 4*t[59] + (121*t[60])/2 + 
       (141*t[61])/2 - (359*t[62])/4 - (61*t[63])/4 + (881*t[64])/4 - 
       (121*t[65])/3 - 101*t[66] + 10*t[69] + 24*t[70] - 26*t[71] + 
       16*t[73] + 2*t[74] - 4*t[75] - 2*t[77] - 2*t[78] - 4*t[80] + t[81] - 
       t[82] + 9*t[83] + 8*t[84] - (3*t[85])/2 + 40*t[86] + (143*t[87])/2 + 
       (31*t[88])/4 - (53*t[89])/4 - 4*t[95] - 56*t[99] - 20*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*Omega2[v, w, u]*(-12*t[99] - 18*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*Omega2[w, u, v]*(2*t[59] + 17*t[60] + 
       25*t[61] - 2*t[63] - 46*t[64] + (25*t[65])/6 - (101*t[66])/6 - 
       2*t[78] + 4*t[80] + t[81] - t[82] + 5*t[83] + (3*t[84])/2 + 5*t[85] + 
       12*t[86] - 8*t[87] - 4*t[88] - 9*t[89] - 12*t[99] - 18*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((9*t[59])/4 + (2243*t[60])/48 + (765*t[61])/16 - 17*t[62] - 
       (1585*t[63])/24 - (11635*t[64])/96 - (2021*t[65])/72 - 
       (11291*t[66])/144 - 6*t[69] - (4*t[72])/3 + 14*t[73] - t[74] - 
       4*t[75] + 2*t[76] + (5*t[77])/4 + 3*t[78] - 11*t[79] + (7*t[80])/4 + 
       (79*t[81])/6 - (175*t[82])/12 + (56*t[83])/3 + (109*t[84])/48 + 
       (769*t[85])/48 + (333*t[86])/8 - (1129*t[87])/48 - (1129*t[88])/96 - 
       (2623*t[89])/96 - 16*t[98] + 26*t[99] - 14*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*(-2*t[60] + (7*t[61])/4 - 
       (155*t[62])/96 - (271*t[63])/32 - (199*t[64])/48 - (265*t[65])/144 - 
       (1819*t[66])/144 + 2*t[73] - (13*t[75])/2 - (2*t[77])/3 + 
       (11*t[79])/12 + (4*t[80])/3 + t[81] - t[82] - (11*t[83])/4 + 
       (2*t[84])/3 + (11*t[85])/6 + (29*t[86])/4 - t[87]/6 - t[88]/12 - 
       (229*t[89])/48 - (13*t[99])/3 - (38*t[100])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*(t[59]/2 - (11*t[60])/6 + 8*t[61] - 
       (241*t[62])/12 + (47*t[63])/12 + (197*t[64])/8 - (497*t[65])/72 - 
       (481*t[66])/24 - 4*t[74] - (14*t[75])/3 - (5*t[78])/2 - t[79] + 
       t[80] + t[81]/4 - (13*t[82])/4 + (43*t[83])/4 - (11*t[84])/8 - 
       t[85]/2 + 9*t[86] + (45*t[87])/4 + (45*t[88])/8 + (139*t[89])/24 - 
       (13*t[99])/3 - (38*t[100])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*(-t[1]/3 - (37*t[2])/6 + 
       (1871*t[3])/96 - (41*t[4])/6 + (253*t[5])/24 + (833*t[6])/64 - 
       (29*t[7])/4 + (109*t[8])/24 - (2057*t[9])/96 - (49*t[10])/8 - 
       (2147*t[11])/192 + (169*t[12])/24 - (2819*t[13])/864 - 
       (10039*t[14])/576 + (607*t[15])/216 + t[18]/3 + (113*t[29])/24 + 
       (52*t[30])/3 - (2*t[31])/3 - (9*t[32])/4 + (9*t[33])/4 + 
       (23*t[34])/12 + 10*t[35] - t[36]/2 - (2*t[37])/3 - (2*t[38])/3 - 
       (5*t[39])/12 - (7*t[40])/12 - t[41]/3 + t[42]/3 - t[43]/3 + 
       (101*t[44])/12 - (7*t[45])/3 + (2*t[47])/3 - (91*t[48])/192 + 
       t[49]/4 + (461*t[50])/192 - (5*t[51])/8 - (205*t[52])/192 - t[53]/4 + 
       (2131*t[54])/192 + (33*t[59])/8 - (3179*t[60])/96 - (91*t[61])/96 + 
       (2477*t[62])/192 + (1841*t[63])/64 + (857*t[64])/192 + 
       (701*t[65])/96 + (17093*t[66])/288 + (16*t[69])/3 - (10*t[70])/3 + 
       3*t[71] - t[72]/2 + 4*t[73] - (13*t[74])/6 + (23*t[75])/3 + 
       (23*t[76])/6 + t[77]/3 - (23*t[78])/3 - (4*t[79])/3 + t[80] - 
       2*t[81] + (11*t[82])/4 - (7*t[83])/3 - (1457*t[84])/96 - 
       (1261*t[85])/96 + 11*t[86] + (923*t[87])/96 + (923*t[88])/192 - 
       (4001*t[89])/192 + t[97]/3 + 19*t[98] - 21*t[99] - (67*t[100])/6)*
      \[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      (-t[1]/3 - (91*t[2])/12 - (2521*t[3])/96 - (91*t[4])/16 - 
       (7463*t[5])/192 - (107*t[6])/48 + (5981*t[7])/96 + (721*t[8])/32 + 
       (4701*t[9])/64 - (1359*t[10])/32 + (4973*t[11])/96 + 
       (6491*t[12])/192 + (8759*t[13])/864 + (21803*t[14])/576 - 
       (13889*t[15])/1152 - (10*t[18])/3 - t[22]/4 - t[27]/6 + (4*t[28])/3 + 
       t[29]/6 - (7*t[30])/6 + (2*t[32])/3 - (2*t[33])/3 + (8*t[34])/3 + 
       t[35] - (2*t[37])/3 - (2*t[38])/3 + (4*t[39])/3 - (5*t[40])/3 + 
       (43*t[41])/8 - (11*t[42])/8 - (89*t[43])/12 - (2*t[44])/3 - 
       (85*t[45])/24 - t[46]/4 + (135*t[47])/4 - (179*t[48])/24 - 
       (73*t[49])/24 + (205*t[50])/24 + (25*t[51])/24 - (157*t[52])/24 + 
       (73*t[53])/24 + (7*t[54])/8 + (125*t[59])/24 + (77*t[60])/3 + 
       78*t[61] - (4667*t[62])/48 - (941*t[63])/48 + (599*t[64])/16 + 
       (1091*t[65])/144 - (14267*t[66])/144 + (16*t[69])/3 - (10*t[70])/3 + 
       3*t[71] - (17*t[74])/3 - (4*t[75])/3 + (7*t[76])/3 + (3*t[77])/4 - 
       (5*t[78])/3 + (14*t[79])/3 + (533*t[80])/12 - (7*t[81])/6 + 
       (49*t[82])/24 + (37*t[83])/6 - t[84]/2 - (13*t[85])/3 + 
       (1051*t[86])/12 - (17*t[87])/2 - (17*t[88])/4 - (121*t[89])/12 + 
       t[97]/3 + 19*t[98] - 21*t[99] - (67*t[100])/6)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (-t[59]/2 + (7*t[60])/8 + (237*t[61])/8 + (331*t[62])/16 + 
       (197*t[63])/16 - (415*t[64])/16 - (231*t[65])/8 + (199*t[66])/8 + 
       8*t[69] + 5*t[72] - 26*t[73] + 3*t[74] - t[75] - 2*t[76] - 2*t[77] - 
       14*t[78] + 2*t[80] - (11*t[81])/2 + (23*t[82])/2 + (25*t[83])/2 + 
       (35*t[84])/8 + (65*t[85])/8 - 40*t[86] - (97*t[87])/8 - 
       (33*t[88])/16 - (55*t[89])/16 + 3*t[96] + 2*t[97] - 16*t[98] + 
       26*t[99] - 10*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - w]*(12*t[99] - (13*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*((71*t[60])/4 - (101*t[61])/6 - 
       (205*t[62])/6 + 67*t[63] - (77*t[64])/4 + (833*t[65])/36 - 
       (380*t[66])/9 - t[69] - 15*t[74] + t[78] - 18*t[79] - 6*t[80] + 
       (27*t[81])/2 - (39*t[82])/2 - (47*t[83])/6 + (49*t[84])/12 + 
       (157*t[85])/6 + (137*t[86])/6 - (101*t[87])/3 - (101*t[88])/6 + 
       (177*t[89])/8 + 12*t[99] - (13*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      (-7*t[99] - 4*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*(4*t[59] + (241*t[60])/8 + (47*t[61])/8 + 
       (485*t[62])/24 + (661*t[63])/24 - (1139*t[64])/48 - (85*t[65])/72 - 
       (899*t[66])/72 - (29*t[74])/2 - t[75] - 3*t[78] + t[79]/2 - 3*t[80] + 
       (9*t[81])/4 - (21*t[82])/4 + (13*t[83])/6 + (35*t[84])/12 + 
       (335*t[85])/24 + (4*t[86])/3 - (451*t[87])/24 - (451*t[88])/48 + 
       (163*t[89])/48 - 7*t[99] - 4*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      (2*t[1] - t[2] + (99*t[3])/8 - (45*t[4])/4 + (313*t[5])/16 - 
       (61*t[6])/4 - (43*t[7])/8 - (257*t[8])/8 - (617*t[9])/16 - 
       (147*t[10])/8 - (231*t[11])/8 - (425*t[12])/16 - (617*t[13])/24 - 
       (707*t[14])/48 + (1175*t[15])/96 - t[22] - 2*t[30] + 2*t[37] - 
       (3*t[41])/2 + (3*t[42])/2 + (23*t[43])/2 + 4*t[44] + 9*t[45] + 
       5*t[46] - 34*t[47] + 4*t[48] - t[49]/4 - t[50] + (15*t[51])/8 + 
       t[52] + t[53]/4 + (11*t[54])/2 + (5*t[59])/4 - (1279*t[60])/48 - 
       (1489*t[61])/48 + (1607*t[62])/96 - (8419*t[63])/96 + 
       (1559*t[64])/96 - (3221*t[65])/144 - (1091*t[66])/18 + 6*t[69] + 
       (14*t[72])/3 + 2*t[73] - t[74] - 24*t[75] + 2*t[76] - (7*t[77])/4 - 
       3*t[78] - t[79] + (129*t[80])/4 - (5*t[81])/6 - (73*t[82])/12 + 
       (25*t[83])/3 - (457*t[84])/48 - (79*t[85])/16 + (1721*t[86])/24 + 
       (511*t[87])/16 + (511*t[88])/32 - (1393*t[89])/96 - 2*t[97] + 
       16*t[98] - 34*t[99] - 3*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((9*t[2])/2 + (87*t[3])/8 - (39*t[4])/2 - (3*t[5])/4 - (245*t[6])/16 + 
       (95*t[7])/2 - 45*t[8] + (249*t[9])/8 + (19*t[10])/4 - (139*t[11])/16 + 
       (9*t[12])/2 - (1183*t[13])/72 - (425*t[14])/48 - (107*t[15])/8 - 
       4*t[28] - t[29] - (21*t[30])/2 + (9*t[32])/2 - (7*t[33])/2 + 3*t[34] + 
       4*t[35] + 2*t[36] + t[39] - t[40] + 2*t[43] + (29*t[44])/2 + t[46] - 
       (347*t[48])/16 - t[49]/4 + (189*t[50])/16 + (7*t[51])/8 - 
       (189*t[52])/16 + t[53]/4 - (77*t[54])/16 - t[59] + (217*t[60])/12 - 
       (89*t[61])/2 - (563*t[62])/8 - (551*t[63])/24 + (191*t[64])/12 - 
       (349*t[65])/18 - (311*t[66])/18 - 8*t[69] + t[72]/3 + 10*t[73] - 
       9*t[74] - 51*t[75] + 2*t[76] - 2*t[77] - 32*t[78] + 12*t[79] + 
       6*t[80] + (5*t[81])/6 - (67*t[82])/6 + (191*t[83])/6 + (85*t[84])/6 + 
       (395*t[85])/12 + 88*t[86] + (19*t[87])/3 + (43*t[88])/6 - 
       (143*t[89])/24 - 3*t[96] - 2*t[97] + 16*t[98] - 34*t[99] - 3*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      ((31*t[60])/8 + (9*t[61])/8 + (25*t[62])/24 + (29*t[63])/24 - 
       (313*t[64])/48 + (151*t[65])/72 - (221*t[66])/72 + t[74]/2 - 
       (3*t[79])/2 + t[81]/4 - t[82]/4 - (2*t[83])/3 + t[84]/3 + 
       (13*t[85])/24 - (17*t[86])/6 - (77*t[87])/24 - (77*t[88])/48 - 
       (31*t[89])/48 - 2*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^4*(t[59]/12 + (11*t[60])/8 + (13*t[61])/8 + 
       (61*t[62])/24 + (53*t[63])/24 - (169*t[64])/48 + (7*t[65])/72 - 
       (49*t[66])/72 + t[74]/2 - t[79] + t[81]/4 - t[82]/4 - t[83]/6 + 
       t[84]/12 + (19*t[85])/24 - (29*t[86])/6 - (23*t[87])/24 - 
       (23*t[88])/48 + (17*t[89])/48 - t[100]/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*((-7*t[60])/3 + (5*t[61])/2 - 
       (3*t[62])/4 - (77*t[63])/12 + t[64]/3 - (107*t[65])/18 - 
       (49*t[66])/18 + t[72]/6 + t[73]/2 - (5*t[75])/2 - (3*t[78])/2 - 
       t[81]/3 - t[82]/3 + (11*t[83])/3 - (7*t[84])/6 + t[85]/3 + 
       (13*t[87])/6 + (13*t[88])/12 - (7*t[89])/6 + t[99]/6 - t[100]/3)*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      ((-59*t[60])/12 + (5*t[61])/3 - (11*t[62])/8 - (57*t[63])/8 + 
       (153*t[64])/8 - (605*t[65])/72 - (59*t[66])/36 - (4*t[69])/3 + 
       (5*t[70])/6 - (5*t[71])/6 + (2*t[72])/3 + t[73]/2 - 2*t[75] - 
       (3*t[78])/2 + (4*t[79])/3 - (5*t[80])/12 - t[81]/3 - t[82]/3 + 
       (7*t[83])/8 - (17*t[84])/12 + t[85]/12 - t[86]/2 + (29*t[87])/6 + 
       (29*t[88])/12 + (13*t[89])/6 + t[99]/6 - t[100]/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^5*(t[60]/8 - (17*t[61])/12 - (149*t[62])/96 - 
       (41*t[63])/32 + (5*t[64])/16 + (229*t[65])/144 + (103*t[66])/144 + 
       t[79]/2 + t[83]/3 + t[84]/6 - t[85]/6 + (29*t[86])/12 - t[87]/3 - 
       t[88]/6 + (3*t[89])/16 + t[100]/4)*\[Zeta][2] + 
     (HPL[{1}, 1 - u]^5*t[100]*\[Zeta][2])/4 - 2*HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - w]*t[100]*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
      t[100]*\[Zeta][2] - (HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*t[100]*
       \[Zeta][2])/2 - 78*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*t[100]*
      \[Zeta][2] + 90*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*t[100]*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      (t[60]/8 - (29*t[61])/12 + (139*t[62])/96 - (177*t[63])/32 - 
       (15*t[64])/16 + (757*t[65])/144 + (703*t[66])/144 + 2*t[74] + 
       (3*t[79])/2 + t[83]/12 + t[84]/24 - t[85]/24 - (5*t[86])/6 - 
       (11*t[87])/24 - (11*t[88])/48 + (3*t[89])/16 + t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*(-t[1]/3 + (7*t[2])/6 - 
       (49*t[3])/96 - (29*t[4])/48 - (357*t[5])/64 + (17*t[6])/16 + 
       (509*t[7])/96 - (365*t[8])/96 + (2191*t[9])/192 - (147*t[10])/32 - 
       (191*t[11])/96 + (395*t[12])/192 - (2801*t[13])/864 + 
       (1333*t[14])/192 - (385*t[15])/128 - t[22]/4 - (2*t[27])/3 + t[28]/3 + 
       (2*t[29])/3 - (2*t[30])/3 + (2*t[32])/3 - (2*t[33])/3 + (8*t[34])/3 + 
       t[35] - (2*t[38])/3 + (5*t[39])/6 - (5*t[40])/3 - t[41]/24 + 
       t[42]/24 - t[43]/6 - t[44]/6 - (13*t[45])/24 - t[46]/4 - (5*t[47])/4 + 
       (5*t[48])/6 + (11*t[49])/12 + t[50]/2 - (13*t[51])/16 + (3*t[52])/2 - 
       (11*t[53])/12 + (3*t[54])/2 + t[59]/8 + (10*t[60])/3 + (83*t[61])/12 - 
       (215*t[62])/48 + (487*t[63])/48 - (97*t[64])/16 - (325*t[65])/144 - 
       (419*t[66])/144 + (7*t[76])/3 + (3*t[77])/4 - (4*t[78])/3 + 
       (5*t[80])/12 + t[81] - (9*t[82])/8 - t[84]/2 + (13*t[85])/6 - 
       (3*t[86])/4 - (29*t[87])/6 - (29*t[88])/12 - (11*t[89])/4 + t[97]/3 + 
       19*t[98] - 16*t[99] + (11*t[100])/4)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*(-t[1]/3 + (7*t[2])/12 + 
       (71*t[3])/96 - (19*t[4])/4 + (89*t[5])/24 + (275*t[6])/192 - t[7]/2 - 
       t[8]/24 + (69*t[9])/32 + (7*t[10])/4 - (451*t[11])/192 + 
       (35*t[12])/12 - (105*t[13])/32 + (1645*t[14])/576 - (10*t[15])/27 + 
       (5*t[29])/24 - (7*t[30])/6 - t[31]/6 - t[32]/4 + t[33]/4 + 
       (23*t[34])/12 - t[36]/2 - (2*t[38])/3 - (5*t[39])/12 - (7*t[40])/12 - 
       t[43]/12 - (13*t[44])/12 - (7*t[45])/3 + (5*t[47])/3 - 
       (155*t[48])/192 + (35*t[49])/24 - (81*t[50])/64 - (59*t[51])/48 + 
       (499*t[52])/192 - (35*t[53])/24 + (67*t[54])/192 - (5*t[59])/24 + 
       (137*t[60])/96 - (673*t[61])/32 - (709*t[62])/192 + (2725*t[63])/192 + 
       (3487*t[64])/64 + (305*t[65])/288 + (2425*t[66])/96 - (7*t[69])/3 - 
       t[70]/3 + t[71]/3 - t[72]/2 + (3*t[74])/2 - 3*t[75] + (23*t[76])/6 + 
       t[77]/3 - 8*t[78] + (11*t[79])/2 + (11*t[80])/3 - 4*t[81] + 
       (13*t[82])/4 - (5*t[83])/2 + (5*t[84])/32 + (203*t[85])/96 + 
       (43*t[86])/4 - (239*t[87])/32 - (239*t[88])/64 + (57*t[89])/64 + 
       t[97]/3 + 19*t[98] - 16*t[99] + (11*t[100])/4)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      (-t[59]/4 + (17*t[60])/2 + (45*t[61])/4 + (83*t[62])/48 - 
       (1115*t[63])/48 - (671*t[64])/24 + (47*t[65])/36 - (1303*t[66])/72 + 
       (11*t[74])/2 + 3*t[75] - 2*t[76] + 3*t[78] - 7*t[79] + (23*t[80])/2 + 
       (21*t[81])/4 - (13*t[82])/4 - (7*t[83])/6 + (13*t[84])/12 + 
       (43*t[85])/24 + t[86]/6 - (203*t[87])/24 - (203*t[88])/48 - 
       (91*t[89])/12 - 12*t[98] + 15*t[99] + (7*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (-t[59] - (25*t[60])/4 - (27*t[61])/4 + (25*t[62])/4 + (81*t[63])/4 + 
       (113*t[64])/4 - (541*t[65])/24 + (433*t[66])/24 - 2*t[73] - 2*t[74] - 
       2*t[75] - (3*t[78])/2 + 2*t[79] - t[80] - (17*t[81])/4 + 
       (17*t[82])/4 + (27*t[83])/4 - (27*t[84])/8 + (3*t[85])/4 - 15*t[86] + 
       8*t[87] + 4*t[88] + 3*t[89] - 12*t[98] + 15*t[99] + (7*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
      (2*t[99] + 18*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - v]*(t[10] - (2*t[13])/3 + (3*t[14])/2 - t[15]/3 + 
       t[49] - t[51]/2 - t[53] + 49*t[60] + (49*t[61])/6 + (311*t[62])/24 - 
       (165*t[63])/8 - (391*t[64])/2 - (409*t[65])/36 - (1265*t[66])/36 + 
       8*t[69] - 2*t[70] + 2*t[71] - 2*t[75] - 19*t[79] - 14*t[80] + 
       2*t[81] - 6*t[82] + (74*t[83])/3 - (8*t[84])/3 + (65*t[85])/3 + 
       (34*t[86])/3 - (137*t[87])/3 - (137*t[88])/6 - (53*t[89])/2 + 
       2*t[99] + 18*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*Omega2[u, v, w]*
      (12*t[99] + 18*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*Omega2[u, v, w]*
      (-2*t[59] + 2*t[60] - 14*t[61] + (41*t[62])/2 - (29*t[63])/2 - 
       (21*t[64])/2 + (17*t[65])/6 + (143*t[66])/6 + 8*t[74] + 2*t[78] - 
       4*t[80] - 5*t[81] + 5*t[82] - t[83] + (3*t[84])/2 + 4*t[85] - 
       12*t[86] - 11*t[87] - (11*t[88])/2 - (9*t[89])/2 + 12*t[99] + 
       18*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*
      (-12*t[98] + 17*t[99] + (125*t[100])/6)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*(-7*t[1] + (27*t[2])/2 - 
       (207*t[3])/8 - (183*t[4])/4 - (1633*t[5])/16 + (31*t[6])/2 + 
       (735*t[7])/8 + (145*t[8])/8 + (2961*t[9])/16 + (297*t[10])/8 + 
       (201*t[11])/8 + (1165*t[12])/16 + (469*t[13])/72 + (5137*t[14])/48 - 
       (10853*t[15])/288 - 3*t[22] - 4*t[27] + 2*t[28] + 4*t[29] - 2*t[30] + 
       16*t[31] + 6*t[32] - 6*t[33] + 24*t[34] + 28*t[35] - 8*t[37] - 
       6*t[38] + 6*t[39] - 15*t[40] + t[41]/2 - t[42]/2 - (41*t[43])/2 - 
       2*t[44] + (11*t[45])/2 - 9*t[46] + 16*t[47] - (45*t[48])/4 + 
       (19*t[49])/2 + (15*t[50])/4 - (5*t[51])/2 + (57*t[52])/4 - 
       (19*t[53])/2 + (61*t[54])/4 - 7*t[59] + 52*t[60] + 199*t[61] - 
       220*t[62] + 115*t[63] - (189*t[64])/4 + (285*t[65])/4 - 
       (1199*t[66])/12 - 8*t[69] - 8*t[73] - 16*t[74] + 8*t[75] + 21*t[76] + 
       7*t[77] - 12*t[78] - 61*t[80] + 11*t[81] - (29*t[82])/2 + 24*t[83] - 
       15*t[84] + 37*t[85] + 31*t[86] - 44*t[87] - 22*t[88] - (15*t[89])/2 + 
       3*t[97] + 204*t[98] - 212*t[99] + 21*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((-121*t[2])/4 + (71*t[3])/8 - 
       (199*t[4])/4 - 21*t[5] - (1085*t[6])/16 + (517*t[7])/4 - 
       (713*t[8])/4 + (473*t[9])/8 - (75*t[10])/8 + (309*t[11])/16 + 
       (101*t[12])/8 - (119*t[13])/3 - (385*t[14])/24 - (33*t[15])/2 + 
       t[18] - 5*t[20] - t[22] - 28*t[28] - 6*t[29] + 3*t[30] + 28*t[32] - 
       31*t[33] - 3*t[34] + 23*t[35] + 7*t[36] + 4*t[37] + 2*t[41] - 
       2*t[42] + 5*t[43] + 40*t[44] + 3*t[47] - (911*t[48])/16 - 
       (71*t[49])/8 + (809*t[50])/16 + (71*t[51])/16 - (809*t[52])/16 + 
       (71*t[53])/8 - (589*t[54])/16 + t[59] - (101*t[60])/8 + (15*t[61])/8 - 
       (2441*t[62])/16 + (1465*t[63])/16 + (1123*t[64])/16 - 
       (1265*t[65])/24 + (175*t[66])/8 + 6*t[69] - 7*t[70] + 7*t[71] - 
       14*t[74] - 13*t[75] - 10*t[77] - 11*t[78] + t[79] + 14*t[80] - 
       (17*t[81])/2 + (23*t[82])/2 + (75*t[83])/2 - (77*t[84])/8 - 
       (31*t[85])/8 + 128*t[86] + (197*t[87])/8 + (245*t[88])/16 - 
       (779*t[89])/16 - 20*t[99] + 22*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*(-30*t[2] + (25*t[3])/8 - 
       105*t[4] + (1397*t[5])/16 + (151*t[6])/4 + (237*t[7])/8 - 
       (233*t[8])/8 - (1693*t[9])/16 + (191*t[10])/4 - (465*t[11])/8 - 
       (283*t[12])/16 - (2303*t[13])/72 + t[14]/3 + (1697*t[15])/32 + 
       8*t[18] + 4*t[21] + 4*t[23] + 3*t[24] - 2*t[27] + 25*t[31] + 9*t[35] + 
       3*t[41] - t[42] + (31*t[43])/2 + 10*t[44] + 20*t[45] + 12*t[46] - 
       84*t[47] - 9*t[48] - (119*t[49])/8 - (23*t[50])/2 + (87*t[51])/16 + 
       (23*t[52])/2 + (119*t[53])/8 + (105*t[54])/4 + 4*t[59] + (9*t[60])/4 - 
       (69*t[61])/4 + (85*t[62])/8 + (99*t[63])/8 + (319*t[64])/8 - 
       (23*t[65])/4 + (547*t[66])/12 + 6*t[69] - 7*t[70] + 7*t[71] - t[74] + 
       2*t[75] - 3*t[77] - 2*t[78] - 8*t[79] + 6*t[80] - t[81]/2 + 
       (9*t[82])/2 - (23*t[83])/2 - 3*t[84] - (23*t[85])/4 + 2*t[86] + 
       (35*t[87])/4 + (35*t[88])/8 + (37*t[89])/8 - 20*t[99] + 22*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*
      (-t[59] + (27*t[60])/8 - (1025*t[61])/24 - (367*t[62])/24 - 
       (133*t[63])/24 + (477*t[64])/16 + (539*t[65])/36 + (1943*t[66])/72 + 
       (2*t[69])/3 + (4*t[70])/3 - (4*t[71])/3 - (8*t[73])/3 + t[74] + 
       (2*t[75])/3 - 2*t[76] - 2*t[78] + (5*t[79])/3 - (13*t[80])/3 - 
       (8*t[81])/3 + (2*t[82])/3 + (7*t[83])/3 - (7*t[84])/8 + (13*t[85])/8 + 
       (73*t[86])/3 - (67*t[87])/8 - (67*t[88])/16 + (649*t[89])/48 - 
       12*t[98] + 17*t[99] + (149*t[100])/6)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      (6*t[60] - (73*t[61])/6 + (457*t[62])/12 + (43*t[63])/12 - 
       (206*t[64])/3 + (377*t[65])/18 + (599*t[66])/18 + (8*t[69])/3 + 
       2*t[73] + 7*t[74] + 2*t[75] + 2*t[76] + t[78]/3 + (16*t[79])/3 - 
       12*t[80] - (8*t[81])/3 + (17*t[82])/3 - (53*t[83])/6 + (17*t[84])/6 + 
       (7*t[85])/2 - 15*t[86] - (131*t[87])/6 - (131*t[88])/12 - 
       (89*t[89])/6 + 12*t[98] - (26*t[99])/3 + 25*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((101*t[60])/24 + (161*t[61])/24 + (551*t[62])/24 - (29*t[63])/24 - 
       (1187*t[64])/48 - (131*t[65])/72 + (587*t[66])/24 - 10*t[73] + 
       (9*t[74])/2 + (10*t[75])/3 + (4*t[77])/3 + (4*t[78])/3 - 
       (11*t[79])/6 - (8*t[80])/3 - (35*t[81])/12 + (35*t[82])/12 + t[83]/2 + 
       (5*t[84])/4 + (17*t[85])/24 - (29*t[86])/2 - (47*t[87])/8 - 
       (47*t[88])/16 - (25*t[89])/48 + 12*t[98] - (26*t[99])/3 + 25*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (-2*t[1] + (111*t[2])/4 - (235*t[3])/32 - (237*t[4])/4 + (11*t[5])/8 - 
       (79*t[6])/64 + 40*t[7] + (173*t[8])/8 + (517*t[9])/32 - (53*t[10])/2 - 
       (3329*t[11])/64 - (9*t[12])/2 - (6601*t[13])/288 - (1555*t[14])/64 + 
       (133*t[15])/72 - 2*t[19] - 4*t[20] + 4*t[22] - 2*t[28] + 
       (31*t[29])/8 - (19*t[30])/2 - (7*t[31])/2 + (3*t[32])/4 + 
       (5*t[33])/4 + (37*t[34])/4 - 2*t[35] + (19*t[36])/2 + 2*t[37] - 
       t[38] - (5*t[39])/4 + t[40]/4 - 2*t[41] + 2*t[42] + t[43]/4 + 
       (53*t[44])/4 - t[46] - 2*t[47] - (713*t[48])/64 - (125*t[49])/8 + 
       (239*t[50])/64 + (105*t[51])/16 - (111*t[52])/64 + (93*t[53])/8 + 
       (897*t[54])/64 - (67*t[59])/8 - (649*t[60])/32 - (2321*t[61])/32 + 
       (1407*t[62])/64 - (1119*t[63])/64 + (2947*t[64])/64 + 
       (5357*t[65])/96 + (5239*t[66])/96 - 4*t[69] + (3*t[72])/2 + 
       (11*t[74])/2 - 7*t[75] - (9*t[76])/2 - 4*t[77] - 4*t[78] - 2*t[79] + 
       7*t[80] - (27*t[81])/2 + (95*t[82])/4 + 11*t[83] + (861*t[84])/32 + 
       (617*t[85])/32 + 56*t[86] + (1153*t[87])/32 + (1665*t[88])/64 + 
       (181*t[89])/64 - 8*t[95] - 6*t[96] - 4*t[97] - 69*t[98] + 69*t[99] + 
       27*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((5*t[1])/2 + 6*t[2] + (309*t[3])/32 + (177*t[4])/16 - (149*t[5])/64 - 
       (147*t[6])/16 - (585*t[7])/32 + (169*t[8])/32 - (2475*t[9])/64 - 
       (1283*t[10])/32 - (1157*t[11])/32 - (1255*t[12])/64 - 
       (12847*t[13])/288 - (4915*t[14])/192 + (14071*t[15])/1152 - 4*t[19] + 
       4*t[21] - t[22]/4 - 4*t[23] + 2*t[25] + t[26] + 5*t[28] + 2*t[30] - 
       6*t[31] + 2*t[32] - 2*t[33] - t[34] - 19*t[35] + 8*t[37] - 2*t[38] + 
       (7*t[39])/2 - 4*t[40] - (23*t[41])/8 + (23*t[42])/8 + (39*t[43])/4 + 
       t[44]/2 - (15*t[45])/8 + (27*t[46])/4 - (81*t[47])/4 + 10*t[48] - 
       7*t[49] + 3*t[50] - (55*t[51])/16 + 2*t[52] + 7*t[53] + (7*t[54])/2 + 
       t[58] - (7*t[59])/8 - 22*t[60] - (371*t[61])/4 + (1439*t[62])/16 - 
       (583*t[63])/16 + (67*t[64])/16 - (1511*t[65])/48 + (3151*t[66])/48 + 
       8*t[74] - 7*t[76] + (3*t[77])/4 + 4*t[78] + (75*t[80])/4 - 7*t[81] + 
       (59*t[82])/8 + (3*t[84])/2 - (25*t[85])/2 - (55*t[86])/4 + 
       (41*t[87])/2 + (41*t[88])/4 + (25*t[89])/4 - t[97] - 69*t[98] + 
       69*t[99] + 27*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*(-32*t[98] + 12*t[99] + (55*t[100])/2)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((3*t[59])/2 + (205*t[60])/8 - (917*t[61])/8 + 5*t[62] + 
       (165*t[63])/4 + (79*t[64])/16 + (2023*t[65])/24 + (225*t[66])/8 + 
       4*t[69] + 4*t[73] - (7*t[74])/2 - 40*t[75] + 6*t[76] - 2*t[77] - 
       5*t[78] + 26*t[79] - 9*t[80] + t[81]/4 - (53*t[82])/4 + (41*t[83])/2 - 
       (41*t[84])/4 + (61*t[85])/8 + 39*t[86] + (183*t[87])/8 + 
       (183*t[88])/16 + (257*t[89])/16 - 6*t[97] - 32*t[98] + 12*t[99] + 
       (55*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*(5*t[1] - (13*t[2])/2 + (153*t[3])/8 + (91*t[4])/4 + 
       (847*t[5])/16 - (33*t[6])/2 - (729*t[7])/8 - (279*t[8])/8 - 
       (1991*t[9])/16 - (369*t[10])/8 - (723*t[11])/8 - (919*t[12])/16 - 
       (4627*t[13])/72 - (2621*t[14])/48 + (7603*t[15])/288 + 3*t[22] + 
       8*t[28] + 2*t[30] - 16*t[31] - 4*t[32] + 2*t[33] - 8*t[34] - 
       12*t[35] + 8*t[37] + 2*t[38] + 2*t[39] + 5*t[40] - (3*t[41])/2 + 
       (3*t[42])/2 + (29*t[43])/2 - 6*t[44] - t[45]/2 + 5*t[46] - 40*t[47] + 
       (79*t[48])/4 - (21*t[49])/4 - (13*t[50])/4 - (5*t[51])/8 - 
       (11*t[52])/4 + (21*t[53])/4 + (23*t[54])/4 + 6*t[59] - 43*t[60] - 
       180*t[61] + (885*t[62])/4 - (57*t[63])/4 - (87*t[64])/4 - 
       (345*t[65])/4 + (2383*t[66])/12 + 8*t[69] - 4*t[73] + 16*t[74] + 
       4*t[75] - 7*t[76] - t[77] + 4*t[78] + 27*t[80] - 11*t[81] + 
       (19*t[82])/2 - 4*t[83] + 2*t[84] - 40*t[85] - 61*t[86] + 39*t[87] + 
       (39*t[88])/2 - 8*t[89] - t[97] - 56*t[98] + 48*t[99] + 37*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      (-6*t[98] - 14*t[99] + 38*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*((11*t[59])/4 + (317*t[60])/16 + 
       (227*t[61])/16 + (1203*t[62])/32 + (157*t[63])/32 - (901*t[64])/32 - 
       (251*t[65])/48 - (301*t[66])/16 + t[73] - 27*t[74] + 11*t[75] - 
       (5*t[76])/2 + (3*t[77])/2 - (15*t[79])/2 + 2*t[80] + (11*t[81])/2 - 
       8*t[82] - (3*t[83])/2 + (19*t[84])/16 + (163*t[85])/16 - 
       (19*t[86])/2 - (147*t[87])/16 - (147*t[88])/32 + (23*t[89])/32 + 
       (3*t[97])/2 - 6*t[98] - 14*t[99] + 38*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((31*t[1])/12 - (181*t[2])/24 + (1727*t[3])/96 + (185*t[4])/48 - 
       (293*t[5])/64 - (2147*t[6])/48 + (623*t[7])/32 - (9701*t[8])/96 + 
       (10295*t[9])/192 - (10015*t[10])/96 - (1595*t[11])/96 - 
       (7649*t[12])/192 - (117517*t[13])/864 + (42529*t[14])/576 - 
       (77459*t[15])/3456 - (8*t[18])/3 - 2*t[19] - 2*t[20] - (14*t[21])/3 + 
       (3*t[22])/4 + 10*t[23] + (10*t[24])/3 - (85*t[25])/3 + (44*t[26])/3 + 
       5*t[27] + (32*t[28])/3 - (71*t[29])/6 - (27*t[30])/2 + (10*t[31])/3 + 
       (5*t[32])/2 - (95*t[33])/6 + (73*t[34])/3 - 9*t[35] - 3*t[36] - 
       2*t[37] + (11*t[38])/2 + (41*t[39])/2 - (73*t[40])/12 - (15*t[41])/8 + 
       (13*t[42])/24 - (5*t[43])/2 + 15*t[44] - (61*t[45])/24 + 
       (97*t[46])/4 - (223*t[47])/6 - (91*t[48])/24 + (41*t[49])/16 + 
       (401*t[50])/24 - (1351*t[51])/96 - (39*t[52])/8 - (25*t[53])/16 - 
       (43*t[54])/3 - t[58] - (5*t[59])/2 + (175*t[60])/8 - (1781*t[61])/8 + 
       (1597*t[62])/12 + (1753*t[63])/12 - (3209*t[64])/24 - 
       (20071*t[65])/144 + (21547*t[66])/144 + 6*t[69] + (16*t[70])/3 - 
       (16*t[71])/3 - 6*t[72] + 14*t[73] + (92*t[74])/3 - 16*t[75] + 
       (431*t[76])/12 + (15*t[77])/4 - (83*t[78])/3 - 12*t[79] - 
       (277*t[80])/12 + (11*t[81])/4 + (655*t[82])/24 - 70*t[83] + 
       (35*t[84])/24 + (439*t[85])/24 - (509*t[86])/4 - (503*t[87])/8 - 
       (503*t[88])/16 - (2747*t[89])/48 + (19*t[97])/4 + 167*t[98] - 
       119*t[99] + 43*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*(-16*t[1] + 22*t[2] - (183*t[3])/4 + 
       (255*t[4])/4 - 38*t[5] + (79*t[6])/8 - (235*t[7])/4 + (177*t[8])/4 - 
       32*t[9] + (513*t[10])/8 + (311*t[11])/8 + (87*t[12])/8 + 
       (1219*t[13])/72 + (37*t[14])/48 + (1613*t[15])/36 - 2*t[18] + 
       4*t[19] - 8*t[21] + 2*t[22] + 8*t[23] - 28*t[24] - 8*t[25] + 9*t[26] + 
       12*t[27] + t[29] + 8*t[31] - 10*t[32] - 6*t[33] - 2*t[34] + 16*t[35] - 
       8*t[36] - 8*t[37] - 4*t[38] + 2*t[39] - 16*t[40] - 10*t[42] + 
       (67*t[43])/4 + (7*t[44])/2 - (15*t[45])/2 + 21*t[46] - 15*t[47] - 
       (337*t[48])/8 - (139*t[49])/8 + (355*t[50])/8 - (187*t[51])/16 - 
       (35*t[52])/8 + (155*t[53])/8 - (229*t[54])/8 - 8*t[57] + 3*t[58] - 
       98*t[60] - 209*t[61] + (357*t[62])/2 + (43*t[63])/2 - (249*t[64])/2 - 
       (332*t[65])/3 + (680*t[66])/3 + 12*t[70] - 12*t[71] + 12*t[74] - 
       24*t[76] - 8*t[77] + 12*t[78] - 32*t[80] - 18*t[81] + 18*t[82] - 
       9*t[84] - 34*t[85] - 42*t[86] + 64*t[87] + 32*t[88] - 35*t[89] - 
       144*t[98] + 156*t[99] + 54*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*(-6*t[1] + (9*t[2])/2 - 
       108*t[3] + (135*t[4])/4 - (785*t[5])/8 + (299*t[6])/2 + 106*t[7] + 
       (313*t[8])/2 + (2003*t[9])/8 - (379*t[10])/8 + (305*t[11])/4 + 
       (47*t[12])/4 + (2843*t[13])/36 + (2955*t[14])/16 + (549*t[15])/16 - 
       6*t[19] + 12*t[21] - 8*t[22] - 4*t[23] + 4*t[24] + 4*t[25] - 4*t[26] - 
       16*t[27] + t[29] - 18*t[30] + 14*t[32] + 8*t[33] + 16*t[34] - 
       32*t[35] + 16*t[36] - 10*t[37] - 6*t[38] - 10*t[40] + 4*t[41] - 
       4*t[42] + (23*t[43])/4 - t[44]/2 - 12*t[45] - 8*t[46] - t[47] + 
       (35*t[48])/2 - (333*t[49])/8 + (43*t[50])/2 + (361*t[51])/16 - 
       (31*t[52])/2 + (269*t[53])/8 + (311*t[54])/4 - 8*t[57] + 10*t[59] + 
       (1431*t[60])/4 + (1093*t[61])/4 + (195*t[62])/8 + (301*t[63])/8 - 
       (2887*t[64])/8 + (1043*t[65])/12 - (569*t[66])/4 + 4*t[70] - 4*t[71] + 
       16*t[73] + 14*t[74] + 24*t[75] - 21*t[76] + 10*t[77] + 71*t[78] - 
       80*t[79] + 46*t[80] + 37*t[81] - 48*t[82] - 70*t[83] + (477*t[84])/4 + 
       (199*t[85])/4 - 83*t[86] - (823*t[87])/4 - (407*t[88])/8 + 
       (297*t[89])/8 - 12*t[95] - 28*t[96] - 6*t[97] - 144*t[98] + 
       156*t[99] + 54*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((15*t[2])/4 + 12*t[3] - (23*t[4])/2 + 
       (137*t[5])/8 - (29*t[6])/8 - 3*t[7] - (17*t[8])/2 - (93*t[9])/8 - 
       (3*t[10])/2 - (95*t[11])/8 + t[12]/8 - (55*t[13])/6 - (49*t[14])/4 - 
       (53*t[15])/16 + (7*t[29])/2 - (23*t[30])/2 - t[31] - t[32]/2 + 
       t[33]/2 - 2*t[34] - 2*t[35] - 2*t[36] + t[39]/2 - t[40]/2 - t[43]/2 - 
       (19*t[48])/8 - t[49]/2 - (3*t[50])/8 + t[51]/4 + (3*t[52])/8 + 
       t[53]/2 + (7*t[54])/8 - 3*t[59] - (319*t[60])/8 - (737*t[61])/24 + 
       (467*t[62])/48 - (2767*t[63])/48 + (499*t[64])/48 - (77*t[65])/3 + 
       (809*t[66])/24 + 3*t[69] - 2*t[72] + (23*t[74])/2 - 2*t[75] - 
       12*t[78] - 3*t[79] - t[80] - (53*t[81])/4 + (53*t[82])/4 + 
       (113*t[83])/6 - 16*t[84] - (7*t[85])/8 + (17*t[86])/3 + 
       (433*t[87])/24 + (433*t[88])/48 - (923*t[89])/48 + 12*t[98] - 
       10*t[99] + (131*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(-t[2]/2 + (11*t[3])/4 - 5*t[4] - 
       (21*t[5])/4 - (27*t[6])/4 - (11*t[7])/2 - 3*t[8] - 5*t[9] - 
       (11*t[10])/2 - (57*t[11])/4 - (5*t[12])/4 - (1195*t[13])/72 + 
       (37*t[14])/6 + t[15]/3 + t[28] + 4*t[35] - t[41] + t[42] + t[43] - 
       t[44] + 10*t[45] - t[46] - 20*t[47] + (3*t[48])/2 - 2*t[49] - 
       3*t[50] + (7*t[51])/4 + 3*t[52] + 2*t[53] + 8*t[54] - t[59] + 
       (17*t[60])/4 + (15*t[61])/4 - (41*t[62])/4 + (7*t[63])/4 - 
       (59*t[64])/8 - (71*t[65])/6 + (34*t[66])/3 - 2*t[73] + 2*t[75] + 
       6*t[77] - 16*t[80] - t[81] + 6*t[83] - t[84]/4 - (11*t[85])/4 + 
       10*t[86] + (17*t[87])/4 + (17*t[88])/8 - (29*t[89])/8 + 12*t[98] - 
       10*t[99] + (139*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - u]*((-5*t[3])/4 - (9*t[4])/4 - (13*t[5])/4 - 
       (19*t[6])/4 + 3*t[7] - 5*t[8] - (17*t[9])/2 + (5*t[10])/8 + 
       (7*t[11])/2 + (5*t[12])/8 + (3*t[13])/4 - (67*t[14])/48 + 
       (67*t[15])/12 - 3*t[28] + 2*t[30] + t[31] - 2*t[39] + t[43]/2 + 
       3*t[44] + t[45] + (3*t[46])/2 - 3*t[47] - (7*t[48])/2 - (13*t[49])/8 + 
       (5*t[50])/2 - t[51]/16 - (5*t[52])/2 + (13*t[53])/8 - (3*t[54])/4 - 
       t[60] - 2*t[61] + 2*t[62] + 2*t[63] + 2*t[64] - (7*t[65])/3 - t[89] + 
       24*t[98] - 24*t[99] + (293*t[100])/4)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*((3*t[2])/2 - t[3]/2 - 
       (29*t[4])/4 + (13*t[5])/2 - t[6]/4 + 10*t[7] + (7*t[8])/2 + 
       (5*t[9])/4 - (51*t[10])/8 + (9*t[11])/4 + (27*t[12])/8 - 
       (155*t[13])/72 + (109*t[14])/48 + (25*t[15])/6 - t[28] + t[31] + 
       t[32] - t[33] - t[35] + 3*t[36] + (3*t[43])/2 + t[44] - t[46]/2 - 
       (5*t[48])/4 - (29*t[49])/8 + (13*t[50])/4 + (23*t[51])/16 - 
       (13*t[52])/4 + (29*t[53])/8 + (3*t[54])/2 - t[59] + (129*t[60])/4 - 
       (457*t[61])/8 + (2507*t[62])/32 + (2061*t[63])/32 - (49*t[64])/4 + 
       (755*t[65])/16 + (3875*t[66])/48 - 4*t[72] + 7*t[74] + 6*t[75] + 
       10*t[76] + 6*t[78] - 13*t[79] + (39*t[80])/2 - (13*t[81])/2 + 
       3*t[82] - 4*t[83] - t[84]/2 + (41*t[85])/4 - (39*t[86])/2 - 
       (163*t[87])/4 - (163*t[88])/8 - (47*t[89])/8 - (3*t[97])/2 + 
       24*t[98] - 24*t[99] + (293*t[100])/4)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*((-17*t[1])/3 + (17*t[2])/3 - 
       (329*t[3])/24 - 29*t[4] + (62*t[5])/3 + (1183*t[6])/48 + (47*t[7])/2 + 
       (176*t[8])/3 + (117*t[9])/8 - 2*t[10] - (1895*t[11])/48 + 
       (89*t[12])/6 - (2773*t[13])/72 + (3821*t[14])/144 + (1645*t[15])/108 - 
       2*t[19] + (13*t[29])/6 - (10*t[30])/3 + (2*t[31])/3 - t[32] + t[33] + 
       (31*t[34])/3 - 4*t[35] - 2*t[36] + 10*t[37] - (10*t[38])/3 - 
       (10*t[39])/3 - (5*t[40])/3 - t[41] + t[42] + t[43]/3 - (17*t[44])/3 - 
       (35*t[45])/3 + (25*t[47])/3 + (425*t[48])/48 + (17*t[49])/3 - 
       (5*t[50])/16 - (16*t[51])/3 + (335*t[52])/48 - (17*t[53])/3 + 
       (863*t[54])/48 - (2*t[59])/3 - (479*t[60])/24 - (397*t[61])/8 + 
       (629*t[62])/48 + (1145*t[63])/16 - (35*t[64])/48 + (2347*t[65])/72 + 
       (3439*t[66])/24 + 8*t[69] - 8*t[72] + 6*t[74] - 4*t[75] + 
       (41*t[76])/3 + (5*t[77])/3 - (44*t[78])/3 - 18*t[79] + 2*t[80] - 
       (8*t[81])/3 + (17*t[82])/3 + 10*t[83] - (277*t[84])/24 + 
       (211*t[85])/24 + (64*t[86])/3 - (103*t[87])/8 - (103*t[88])/16 - 
       (197*t[89])/48 + (5*t[97])/3 + 92*t[98] - 100*t[99] + 85*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      (13*t[59] - (63*t[60])/2 - t[61]/2 - 31*t[62] + 149*t[63] + 
       (357*t[64])/4 - (271*t[65])/2 - (335*t[66])/6 - 58*t[74] - 6*t[75] - 
       2*t[78] - 45*t[79] + 12*t[80] - 3*t[81] + 3*t[82] + 22*t[83] - 
       20*t[84] + (23*t[85])/2 + 63*t[86] + (69*t[87])/2 + (69*t[88])/4 + 
       (89*t[89])/4 + 90*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((34*t[1])/3 + (37*t[2])/6 - (1079*t[3])/24 - 
       (9*t[4])/4 + (235*t[5])/24 + (679*t[6])/48 + (95*t[7])/4 + 
       (191*t[8])/12 - 3*t[9] + (205*t[10])/8 + (4057*t[11])/48 - 
       (665*t[12])/12 + (2749*t[13])/36 + (263*t[14])/9 + (3313*t[15])/432 - 
       2*t[24] - 2*t[25] - 4*t[28] - (95*t[29])/6 + (56*t[30])/3 - 
       (34*t[31])/3 + 5*t[32] - 3*t[33] + (19*t[34])/3 - 22*t[35] + 
       24*t[36] - 12*t[37] + (14*t[38])/3 + (2*t[39])/3 + (10*t[40])/3 + 
       t[41] - t[42] + (65*t[43])/6 + (40*t[44])/3 + (95*t[45])/6 + 6*t[46] - 
       (41*t[47])/3 - (547*t[48])/48 - (749*t[49])/24 + (407*t[50])/16 + 
       (551*t[51])/48 - (1669*t[52])/48 + (797*t[53])/24 - (817*t[54])/48 + 
       (47*t[59])/6 - (41*t[60])/24 + (1701*t[61])/8 + (2411*t[62])/48 - 
       (1905*t[63])/16 + (4063*t[64])/48 + (9901*t[65])/72 - 
       (3223*t[66])/24 - 8*t[69] + 4*t[72] + 4*t[73] - 42*t[74] + 52*t[75] - 
       (79*t[76])/3 + (20*t[77])/3 + (121*t[78])/3 - 52*t[79] + 75*t[80] + 
       (91*t[81])/3 - (25*t[82])/3 - 88*t[83] + (323*t[84])/24 - 
       (917*t[85])/24 - (577*t[86])/6 + (1393*t[87])/8 + (1393*t[88])/16 + 
       (4669*t[89])/48 - 4*t[95] - (13*t[97])/3 - 108*t[98] - 40*t[99] + 
       104*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      (t[1]/3 - (143*t[2])/3 - (221*t[3])/24 + (176*t[4])/3 + (523*t[5])/16 - 
       (47*t[6])/8 - (1163*t[7])/24 + (191*t[8])/24 - (6085*t[9])/48 + 
       (147*t[10])/4 + (311*t[11])/6 - (1775*t[12])/48 + (9581*t[13])/216 - 
       (857*t[14])/24 + (21407*t[15])/288 - t[22] + 4*t[24] + 8*t[25] - 
       6*t[26] + (32*t[27])/3 + (68*t[28])/3 + (10*t[29])/3 - (22*t[30])/3 - 
       2*t[31] - (14*t[32])/3 + (50*t[33])/3 - (32*t[34])/3 - 4*t[35] - 
       8*t[36] + (2*t[38])/3 + (2*t[39])/3 + (35*t[40])/3 - (17*t[41])/6 + 
       (17*t[42])/6 - (7*t[43])/3 + (47*t[44])/3 + (193*t[45])/6 + 8*t[46] - 
       59*t[47] - (233*t[48])/24 + (341*t[49])/24 + (169*t[50])/8 + 
       (37*t[51])/16 - (233*t[52])/8 - (341*t[53])/24 - (231*t[54])/8 - 
       t[59]/2 + (80*t[60])/3 - (62*t[61])/3 + (917*t[62])/12 - 
       (481*t[63])/12 - (449*t[64])/4 + (1543*t[65])/36 + (2405*t[66])/36 - 
       20*t[74] - (28*t[76])/3 - 17*t[77] + (4*t[78])/3 - (155*t[80])/3 + 
       6*t[81] - (23*t[82])/2 + 6*t[84] - (11*t[85])/3 - 41*t[86] + 
       (31*t[87])/3 + (31*t[88])/6 + (49*t[89])/2 - (4*t[97])/3 - 108*t[98] - 
       40*t[99] + 104*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*(41*t[2] - (5*t[3])/2 + (59*t[4])/2 - 97*t[5] - 
       (71*t[6])/2 + (293*t[7])/4 - (231*t[8])/4 + (307*t[9])/4 - 
       (93*t[10])/4 + 85*t[11] + 71*t[12] - (473*t[13])/36 + (409*t[14])/12 - 
       (2123*t[15])/72 + (2*t[18])/3 + 4*t[19] - 4*t[21] + t[22] + 4*t[23] + 
       4*t[30] + 8*t[35] - 8*t[37] + 10*t[41] - 6*t[42] - (33*t[43])/4 - 
       t[45] + 2*t[46] + 30*t[47] - 10*t[48] - (19*t[49])/2 + 12*t[50] + 
       (13*t[51])/4 - 12*t[52] + (19*t[53])/2 - 3*t[54] + 9*t[59] + 
       15*t[60] + 184*t[61] - (789*t[62])/4 - (103*t[63])/4 - (215*t[64])/4 + 
       30*t[65] - (187*t[66])/3 + 4*t[69] - 6*t[72] + 18*t[77] + 20*t[79] - 
       89*t[80] - 4*t[81] + 4*t[82] + 12*t[83] - 7*t[84] - 13*t[85] + 
       49*t[86] + 29*t[87] + (29*t[88])/2 - t[89]/2 + 38*t[99] + 124*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      (12*t[2] + 89*t[3] + 6*t[4] + 110*t[5] + (109*t[6])/4 - 129*t[7] + 
       76*t[8] - 200*t[9] - 29*t[10] + (29*t[11])/4 - 3*t[12] + 
       (601*t[13])/18 - (1081*t[14])/12 + (167*t[15])/12 - 4*t[19] + 
       4*t[20] - 4*t[22] - 9*t[29] - 12*t[30] - 25*t[32] + 25*t[33] - 
       12*t[34] - 8*t[35] + 4*t[36] - 4*t[37] - 3*t[41] + 3*t[42] - 
       (31*t[44])/2 + 8*t[45] - 12*t[47] + (89*t[48])/4 - 2*t[49] - 
       (277*t[50])/4 + t[51] + (277*t[52])/4 + 2*t[53] + (39*t[54])/4 - 
       9*t[59] - (347*t[60])/2 - 153*t[61] - (521*t[62])/8 - (999*t[63])/8 + 
       (1151*t[64])/4 - (1015*t[65])/12 + 58*t[66] + 4*t[69] + 4*t[73] + 
       16*t[74] + 14*t[75] - 6*t[76] - 2*t[78] - 31*t[79] + 4*t[80] - 
       31*t[81] + 15*t[82] + 40*t[83] - (157*t[84])/2 - 36*t[85] + 37*t[86] + 
       113*t[87] + (113*t[88])/2 + (41*t[89])/2 + 38*t[99] + 124*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((9*t[59])/2 - (119*t[60])/3 - (467*t[61])/4 + 
       (255*t[62])/16 + (3695*t[63])/48 + (1817*t[64])/12 - (3559*t[65])/72 + 
       (3101*t[66])/36 + 2*t[69] - (2*t[72])/3 + (5*t[73])/2 - 16*t[74] - 
       (9*t[75])/2 + (3*t[77])/2 - (51*t[78])/2 + 17*t[79] - (39*t[80])/2 - 
       (55*t[81])/6 + (65*t[82])/6 + (82*t[83])/3 - (107*t[84])/6 - 
       (47*t[85])/6 + (55*t[86])/4 + (55*t[87])/3 + (55*t[88])/6 + 
       (167*t[89])/12 + 8*t[98] - 36*t[99] + 138*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*(-t[1] + (5*t[2])/4 + 53*t[3] - 
       (163*t[4])/4 + (21*t[5])/2 - (1127*t[6])/16 + (267*t[7])/2 - 
       (305*t[8])/2 + (567*t[9])/8 - (119*t[10])/8 + (179*t[11])/16 - 
       (93*t[12])/8 - (631*t[13])/12 - (257*t[14])/6 - (1927*t[15])/144 + 
       2*t[20] + 4*t[23] - 27*t[28] + (9*t[29])/2 - 13*t[30] + (31*t[32])/2 - 
       23*t[33] + 3*t[34] + 22*t[35] + 5*t[36] + 2*t[37] - t[38] - 7*t[39] + 
       6*t[40] - t[41] + t[42] + 5*t[43] + (45*t[44])/4 + 4*t[45] - 7*t[47] - 
       (837*t[48])/16 + (21*t[49])/8 + (659*t[50])/16 - (29*t[51])/16 - 
       (659*t[52])/16 - (53*t[53])/8 - (827*t[54])/16 - (23*t[59])/2 + 
       (17*t[60])/8 - (1133*t[61])/8 - (1941*t[62])/16 + (397*t[63])/16 + 
       (459*t[64])/16 - (383*t[65])/8 + (415*t[66])/8 - 4*t[70] + 4*t[71] - 
       4*t[73] - 8*t[74] - 5*t[75] - 2*t[76] - 10*t[77] - 27*t[78] + t[79] + 
       8*t[80] - (41*t[81])/2 + (27*t[82])/2 + 31*t[83] - (33*t[84])/8 + 
       (269*t[85])/8 + 149*t[86] - (83*t[87])/8 - (3*t[88])/16 - 
       (525*t[89])/16 - 2*t[95] - 4*t[96] - 2*t[97] - 24*t[98] + 20*t[99] + 
       (289*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      (22*t[1] - 6*t[2] + (369*t[3])/8 - 63*t[4] + (1183*t[5])/16 - 
       (203*t[6])/8 - (29*t[7])/2 - (29*t[8])/2 - (2313*t[9])/16 + 
       (727*t[10])/8 - (813*t[11])/8 - (1565*t[12])/16 - (9527*t[13])/144 - 
       (631*t[14])/24 + (4987*t[15])/96 + 4*t[18] + 4*t[21] - 4*t[22] - 
       8*t[23] + 8*t[24] - 8*t[25] + 5*t[26] + 2*t[27] + 23*t[31] + 2*t[32] - 
       2*t[33] - 9*t[34] + 9*t[35] - 2*t[37] + 2*t[38] + 2*t[39] - 4*t[40] - 
       8*t[41] + 9*t[42] + (245*t[43])/8 + 10*t[44] + (115*t[45])/4 + 
       15*t[46] - (189*t[47])/2 - t[48]/2 + (5*t[49])/8 - t[50]/2 + 
       (39*t[51])/16 + (27*t[52])/2 - (5*t[53])/8 + (11*t[54])/4 + t[58] - 
       (31*t[59])/2 - (367*t[60])/8 - (361*t[61])/2 + (1923*t[62])/32 - 
       (2227*t[63])/32 - (1797*t[64])/16 - (755*t[65])/48 + (1031*t[66])/16 - 
       8*t[69] - 10*t[70] + 10*t[71] + 3*t[74] - 2*t[75] - 5*t[76] + 
       5*t[77] - t[78] + (7*t[79])/2 - 15*t[80] - (13*t[81])/2 - t[82]/2 + 
       12*t[83] - 9*t[84] + (65*t[85])/4 + t[86]/2 + (81*t[87])/4 + 
       (81*t[88])/8 + (369*t[89])/16 - t[97] - 24*t[98] + 20*t[99] + 
       (289*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((-37*t[1])/6 + (593*t[2])/12 + (409*t[3])/12 + 
       (219*t[4])/8 + (227*t[5])/12 - (823*t[6])/12 - (71*t[7])/12 + 
       67*t[8] + (59*t[9])/4 - (6311*t[10])/48 + (11*t[11])/3 - 
       (131*t[12])/48 + (1271*t[13])/72 + (737*t[14])/32 - (2935*t[15])/144 - 
       (8*t[18])/3 - 4*t[19] + 4*t[20] + (4*t[21])/3 + 4*t[23] + 
       (28*t[24])/3 + (11*t[25])/3 - (16*t[26])/3 + (31*t[27])/3 + 4*t[28] + 
       2*t[29] - 4*t[30] + 14*t[31] - t[32]/3 - 3*t[33] - (2*t[34])/3 + 
       6*t[35] - t[36] - 4*t[37] + 4*t[39] + (16*t[40])/3 - (11*t[41])/3 + 
       (7*t[42])/3 - (103*t[43])/12 - (22*t[44])/3 - (91*t[45])/4 + 
       (15*t[46])/2 + (223*t[47])/6 + (67*t[48])/12 + (835*t[49])/48 - 
       (257*t[50])/12 - (351*t[51])/32 + (293*t[52])/12 - (787*t[53])/48 - 
       (61*t[54])/24 - t[58] - (211*t[59])/6 - (265*t[60])/4 - 
       (4087*t[61])/12 + t[62]/3 + (203*t[63])/3 + (1535*t[64])/8 + 
       (57*t[65])/2 - (2539*t[66])/36 + (16*t[70])/3 - (16*t[71])/3 - 
       (5*t[72])/2 + (17*t[73])/2 + (2*t[74])/3 - (89*t[75])/2 + 
       (74*t[76])/3 + (17*t[77])/3 - (139*t[78])/6 - 10*t[79] + 
       (67*t[80])/3 - (11*t[81])/3 + (58*t[82])/3 - 43*t[83] - 
       (631*t[84])/12 + (87*t[85])/4 + (347*t[86])/6 + (161*t[87])/12 + 
       (161*t[88])/24 + (1303*t[89])/24 - 7*t[97] + 52*t[98] - 24*t[99] + 
       150*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*(-t[1]/6 + (171*t[2])/4 + (571*t[3])/24 + 
       (235*t[4])/8 - (2879*t[5])/48 + (1799*t[6])/48 - (211*t[7])/24 + 
       (2453*t[8])/24 + (1519*t[9])/16 + (689*t[10])/48 - (527*t[11])/48 + 
       (313*t[12])/24 - (737*t[13])/48 + (1425*t[14])/32 + 
       (18553*t[15])/864 - 6*t[20] + 4*t[22] + (8*t[23])/3 - 2*t[27] - 
       (7*t[29])/2 + (17*t[30])/3 + 6*t[31] + (23*t[32])/3 - (50*t[33])/3 - 
       (74*t[34])/3 - 4*t[35] + 13*t[36] - (22*t[37])/3 - t[38] + 7*t[39] - 
       (23*t[40])/6 - 3*t[41] + 3*t[42] - (35*t[43])/12 - 11*t[44] - 
       (5*t[45])/6 + (5*t[46])/2 - 6*t[47] + (465*t[48])/16 + (15*t[49])/16 - 
       (569*t[50])/48 - (111*t[51])/32 + (745*t[52])/48 - (31*t[53])/16 + 
       (1783*t[54])/48 - (13*t[59])/3 + (5*t[60])/3 + (40*t[61])/3 - 
       (829*t[62])/12 - (473*t[63])/4 + (233*t[64])/12 + (769*t[65])/18 - 
       45*t[66] - 4*t[69] + (8*t[70])/3 - (8*t[71])/3 + 4*t[72] + 
       (45*t[73])/2 + (40*t[74])/3 - (105*t[75])/2 + (53*t[76])/3 + 
       (23*t[77])/3 - (17*t[78])/2 - 15*t[79] + (34*t[80])/3 + (17*t[81])/3 - 
       33*t[82] + 18*t[83] + (91*t[84])/4 + (103*t[85])/4 + (271*t[86])/3 - 
       (173*t[87])/4 - (271*t[88])/24 + (39*t[89])/2 + (16*t[95])/3 + 
       (4*t[96])/3 + (5*t[97])/3 + 52*t[98] - 24*t[99] + 150*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-8*t[1] + 16*t[2] - (429*t[3])/4 + 174*t[4] - (225*t[5])/2 + 
       (803*t[6])/8 - (43*t[7])/2 + (615*t[8])/2 + (359*t[9])/4 - 12*t[10] + 
       (17*t[11])/8 - (167*t[12])/2 - (61*t[13])/36 + (1313*t[14])/8 - 
       (161*t[15])/3 + 16*t[24] - 6*t[25] - 6*t[27] + 37*t[30] + 18*t[31] + 
       t[32] - t[33] + 58*t[34] + 26*t[35] + 12*t[37] + 6*t[38] - 29*t[43] - 
       58*t[44] - 6*t[45] + 12*t[46] + 20*t[47] + (73*t[48])/8 + 
       (109*t[49])/2 + (9*t[50])/8 - (79*t[51])/4 - (9*t[52])/8 - 
       (109*t[53])/2 + (79*t[54])/8 - 30*t[59] + (1751*t[60])/4 - 
       (317*t[61])/4 + (145*t[62])/2 - (143*t[63])/2 - (6949*t[64])/8 - 
       (721*t[65])/6 - (565*t[66])/4 + 22*t[69] + 54*t[74] - 8*t[75] - 
       96*t[76] + 198*t[78] - 146*t[79] - 180*t[80] + t[81] - 7*t[82] + 
       55*t[83] + (15*t[84])/4 + (573*t[85])/4 + 5*t[86] - (911*t[87])/4 - 
       (911*t[88])/8 + (163*t[89])/8 + 96*t[99] + 167*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*(-30*t[2] - (107*t[3])/4 + 
       (353*t[4])/2 - (695*t[5])/8 + 176*t[6] - (441*t[7])/4 + 
       (1001*t[8])/4 + (11*t[9])/8 + (1055*t[10])/4 - (603*t[11])/4 - 
       (569*t[12])/8 - 11*t[13] + (853*t[14])/24 + (2887*t[15])/48 - 
       2*t[28] + 12*t[30] - 18*t[32] - 30*t[35] - 18*t[36] - 9*t[41] + 
       9*t[42] - (137*t[43])/2 - 58*t[44] + 29*t[45] - 66*t[47] + 43*t[48] + 
       (53*t[49])/2 - 31*t[50] - (53*t[51])/4 + 31*t[52] - (53*t[53])/2 - 
       9*t[59] + (233*t[60])/2 - (479*t[61])/2 + 270*t[62] - 151*t[63] - 
       (1819*t[64])/4 + (358*t[65])/3 + (1846*t[66])/3 - 60*t[73] + 
       24*t[74] + 86*t[75] - 2*t[77] + 8*t[78] - 10*t[79] - 102*t[80] - 
       19*t[81] + 19*t[82] - 16*t[83] + t[84] + (5*t[85])/2 - 194*t[86] - 
       (177*t[87])/2 - (177*t[88])/4 + (643*t[89])/4 + 96*t[99] + 167*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (-3*t[1] - (5*t[2])/4 + (51*t[3])/2 - (345*t[4])/4 + (413*t[5])/8 + 
       (297*t[6])/16 - (505*t[7])/4 + (691*t[8])/4 - (479*t[9])/4 - 
       (113*t[10])/8 - (2209*t[11])/16 + (5*t[12])/4 - (3631*t[13])/72 - 
       (2725*t[14])/24 + (74*t[15])/9 + t[20] + 2*t[24] + 12*t[28] + 
       11*t[29] + 10*t[30] + (17*t[32])/2 + 3*t[33] - 6*t[34] + 13*t[35] + 
       9*t[36] - t[37] - t[38] - (5*t[39])/2 + (11*t[40])/2 - (3*t[41])/2 + 
       (3*t[42])/2 + (11*t[43])/2 - (61*t[44])/4 + 19*t[45] - t[46] - 
       18*t[47] + (1007*t[48])/16 - (187*t[49])/8 - (369*t[50])/16 + 
       (151*t[51])/16 + (353*t[52])/16 + (131*t[53])/8 + (1041*t[54])/16 - 
       (1055*t[60])/8 - (941*t[61])/8 + (1287*t[62])/16 + (113*t[63])/16 + 
       (3263*t[64])/16 + (1663*t[65])/8 + (5099*t[66])/24 + t[69] + 
       12*t[73] - 17*t[74] + 31*t[75] - 15*t[76] - t[77] + 2*t[78] - 
       6*t[79] + 4*t[80] - 19*t[81] + 10*t[82] - (79*t[83])/2 + (5*t[84])/8 - 
       (191*t[85])/8 + 42*t[86] + (1361*t[87])/8 + (1241*t[88])/16 + 
       (879*t[89])/16 + 2*t[95] - 16*t[96] - 3*t[97] - 132*t[98] + 
       138*t[99] + (385*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(-3*t[1] - (47*t[2])/4 + 
       (221*t[3])/8 - 8*t[4] - (357*t[5])/16 - (119*t[6])/2 - (127*t[7])/2 - 
       22*t[8] - (781*t[9])/16 + (789*t[10])/8 - 41*t[11] + (679*t[12])/16 - 
       (4345*t[13])/144 - 60*t[14] - (779*t[15])/32 - (2*t[18])/3 - t[21] - 
       (3*t[22])/2 - 11*t[23] - 2*t[24] + 4*t[25] - t[26] + 2*t[27] - 
       4*t[31] - 2*t[32] + 4*t[33] - 16*t[34] + 5*t[35] + 5*t[37] - 4*t[39] + 
       7*t[40] - (15*t[43])/8 + 11*t[44] + (183*t[45])/4 + (7*t[46])/2 - 
       (95*t[47])/2 + (31*t[48])/8 - (81*t[49])/8 - (5*t[50])/8 - 
       (137*t[51])/16 + (85*t[52])/8 + (81*t[53])/8 - (89*t[54])/8 + t[58] - 
       t[59] - (303*t[60])/4 - (655*t[61])/4 + (1987*t[62])/24 + 
       (1157*t[63])/24 - (2369*t[64])/24 + (1433*t[65])/36 + (1102*t[66])/9 + 
       7*t[69] - 2*t[72] + 14*t[73] - 21*t[74] - 6*t[75] - 22*t[76] - 
       5*t[77] + 14*t[78] + 50*t[79] - 171*t[80] - (67*t[81])/2 + 
       (39*t[82])/2 - (259*t[83])/6 - (143*t[84])/12 - (127*t[85])/3 - 
       (88*t[86])/3 + (151*t[87])/6 + (151*t[88])/12 - (791*t[89])/24 + 
       2*t[97] - 132*t[98] + 138*t[99] + (409*t[100])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      (-t[3] - 4*t[4] + (3*t[5])/2 + 2*t[6] + t[7] + 3*t[8] + (9*t[9])/2 + 
       7*t[10] + t[11] + (17*t[12])/2 + t[13] - (5*t[14])/2 + t[15]/12 + 
       2*t[22] + 4*t[29] + (163*t[60])/12 + (3*t[61])/4 - (229*t[62])/8 - 
       (689*t[63])/24 + (1177*t[64])/24 - (869*t[65])/36 + (539*t[66])/36 + 
       (4*t[72])/3 - 58*t[73] - 74*t[75] - 20*t[76] - 30*t[78] + 
       (22*t[81])/3 - (20*t[82])/3 + (52*t[83])/3 + (89*t[84])/12 + 
       (125*t[85])/12 - (77*t[87])/12 - (77*t[88])/24 + (601*t[89])/24 - 
       48*t[99] + 223*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*(-t[3] - 4*t[4] - 2*t[5] - (7*t[6])/2 + 10*t[7] + 
       6*t[8] + t[9] - 8*t[10] - (9*t[11])/2 + 2*t[12] - t[13] - 
       (59*t[14])/6 + (11*t[15])/3 + 2*t[39] - 2*t[40] + 2*t[44] + 
       (3*t[48])/2 - 4*t[49] + (3*t[50])/2 + 3*t[51] - (3*t[52])/2 + 
       4*t[53] + (9*t[54])/2 - 9*t[59] - (625*t[60])/6 - 247*t[61] + 
       27*t[62] - (473*t[63])/6 + (2465*t[64])/12 + (1159*t[65])/9 + 
       (3481*t[66])/18 + 4*t[69] - (26*t[72])/3 - 30*t[73] + 12*t[74] - 
       66*t[75] - 14*t[76] + 4*t[77] - 14*t[78] + 20*t[79] - 39*t[80] - 
       (20*t[81])/3 + (49*t[82])/3 - (26*t[83])/3 - (94*t[84])/3 - 
       (25*t[85])/3 - (37*t[86])/2 + (181*t[87])/3 + (181*t[88])/6 + 
       (535*t[89])/6 - 4*t[97] - 48*t[99] + 223*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*(-40*t[98] - 44*t[99] + 
       258*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      (t[59] - (499*t[60])/4 - (233*t[61])/4 - (267*t[62])/8 - 
       (541*t[63])/8 + (1535*t[64])/8 + (295*t[65])/12 + (459*t[66])/4 + 
       12*t[69] - 12*t[73] - 36*t[74] - 16*t[75] - 2*t[76] + 6*t[77] - 
       12*t[78] - 10*t[79] + 10*t[80] - 18*t[81] + 8*t[82] + 22*t[83] - 
       (107*t[84])/4 - (99*t[85])/4 + 57*t[86] + (547*t[87])/4 + 
       (547*t[88])/8 + (371*t[89])/8 - 2*t[97] - 40*t[98] - 44*t[99] + 
       258*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-5*t[1])/2 + (799*t[2])/12 + (319*t[3])/24 + 
       (335*t[4])/24 - (1489*t[5])/48 - (253*t[6])/3 + (871*t[7])/24 - 
       (3221*t[8])/24 + (5065*t[9])/48 - (881*t[10])/48 - (1123*t[11])/24 + 
       (201*t[12])/8 - (13115*t[13])/216 + (4613*t[14])/96 - 
       (5375*t[15])/96 - (8*t[18])/3 - (8*t[21])/3 - 11*t[22] + 12*t[23] + 
       (10*t[24])/3 - (55*t[25])/3 + (26*t[26])/3 + (59*t[27])/3 - 
       (8*t[28])/3 + (2*t[29])/3 - (2*t[30])/3 + 14*t[31] + (31*t[32])/3 - 
       (23*t[33])/3 + 36*t[34] + 20*t[35] - 5*t[36] - 18*t[37] - 
       (11*t[38])/3 + (46*t[39])/3 - (55*t[40])/3 - (10*t[41])/3 + 2*t[42] - 
       16*t[43] + 4*t[44] - (185*t[45])/12 - (7*t[46])/2 + (61*t[47])/6 - 
       (70*t[48])/3 + (137*t[49])/16 + (7*t[50])/3 - (763*t[51])/32 + 
       (32*t[52])/3 - (169*t[53])/16 - (199*t[54])/24 - 3*t[58] - 
       (73*t[59])/6 + (581*t[60])/24 - (2881*t[61])/24 - (1207*t[62])/48 + 
       (3381*t[63])/16 - (2671*t[64])/16 - (5111*t[65])/72 + (751*t[66])/8 - 
       4*t[69] + (16*t[70])/3 - (16*t[71])/3 + 4*t[72] + (2*t[74])/3 + 
       24*t[75] + 51*t[76] + (35*t[77])/3 - 20*t[78] - 28*t[79] - 40*t[80] + 
       (22*t[81])/3 + (275*t[82])/6 + 15*t[83] - (641*t[84])/24 + 
       (1051*t[85])/24 - (355*t[86])/6 - (1927*t[87])/24 - (1927*t[88])/48 - 
       (3913*t[89])/48 + (25*t[97])/3 + 296*t[98] - 316*t[99] + 289*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-2*t[1])/3 + (263*t[2])/4 - (583*t[3])/12 - (253*t[4])/8 + 
       (1093*t[5])/48 + (109*t[6])/6 - (43*t[7])/24 + (953*t[8])/24 + 
       (1329*t[9])/16 + (1757*t[10])/48 - (266*t[11])/3 + (349*t[12])/24 - 
       (5501*t[13])/144 + (3233*t[14])/96 + (18385*t[15])/864 - 2*t[20] - 
       (4*t[23])/3 + 6*t[24] - 2*t[25] + 6*t[27] + 6*t[28] + (3*t[29])/2 - 
       (55*t[30])/3 + (62*t[32])/3 - (17*t[33])/3 + (13*t[34])/3 - 6*t[35] + 
       3*t[36] + (20*t[37])/3 - 3*t[38] + 7*t[39] - (71*t[40])/6 - 
       (3*t[41])/2 + (3*t[42])/2 + (49*t[43])/12 - (41*t[44])/2 - 
       (161*t[45])/6 + (9*t[46])/2 + 34*t[47] - (29*t[48])/8 + 
       (579*t[49])/16 - (73*t[50])/24 - (547*t[51])/32 + (521*t[52])/24 - 
       (467*t[53])/16 + (43*t[54])/3 + (2*t[59])/3 - (299*t[60])/24 - 
       (4075*t[61])/24 + (1085*t[62])/48 - (447*t[63])/16 + (293*t[64])/48 - 
       (4805*t[65])/72 + (751*t[66])/24 + 8*t[69] + (8*t[70])/3 - 
       (8*t[71])/3 - 6*t[72] + 4*t[73] + (4*t[74])/3 + (146*t[76])/3 - 
       (7*t[77])/3 - 47*t[78] - 20*t[79] + (82*t[80])/3 + (44*t[81])/3 - 
       16*t[82] + 19*t[83] - (157*t[84])/8 + (239*t[85])/8 - (50*t[86])/3 - 
       (525*t[87])/8 - (791*t[88])/48 - (15*t[89])/16 + (4*t[95])/3 + 
       (40*t[96])/3 + (41*t[97])/3 + 184*t[98] - 204*t[99] + 353*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      (t[1] + (125*t[2])/2 - (27*t[3])/4 + 135*t[4] - (1145*t[5])/8 - 
       (451*t[6])/4 - (275*t[7])/4 - (85*t[8])/4 + (997*t[9])/8 - 
       (125*t[10])/4 - (493*t[11])/4 + (573*t[12])/8 + (2603*t[13])/72 - 
       (3349*t[14])/24 - (1721*t[15])/16 + (44*t[18])/3 - 2*t[19] + 
       22*t[21] - 4*t[22] - 10*t[23] + 16*t[24] - 2*t[25] + 8*t[26] + 
       14*t[27] - 6*t[28] + 4*t[30] - 44*t[31] + 4*t[34] - 18*t[35] + 
       2*t[37] - 2*t[38] - 4*t[39] + 6*t[40] - 16*t[41] + 14*t[42] - 
       19*t[43] - 8*t[44] - 69*t[45] - 19*t[46] + 208*t[47] - (29*t[48])/2 - 
       23*t[49] + (11*t[50])/2 - (15*t[51])/4 - (75*t[52])/2 + 23*t[53] - 
       (51*t[54])/2 - 4*t[58] - 25*t[59] - (1035*t[60])/8 - (3017*t[61])/8 + 
       (1125*t[62])/8 - (695*t[63])/8 - (1149*t[64])/16 - (129*t[65])/8 + 
       (2013*t[66])/8 + 2*t[69] - 26*t[70] + 26*t[71] + t[74]/2 - 10*t[76] + 
       10*t[77] - 6*t[78] + t[79] + 10*t[80] - (63*t[81])/4 + (39*t[82])/4 - 
       (51*t[84])/2 + (3*t[85])/8 - 17*t[86] + (645*t[87])/8 + 
       (645*t[88])/16 + (569*t[89])/16 - 2*t[97] - 48*t[98] + 375*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (4*t[1] + (125*t[2])/2 - 40*t[3] + 10*t[4] + 27*t[5] + (1105*t[6])/8 - 
       288*t[7] + 294*t[8] - (105*t[9])/4 + 77*t[10] - (1385*t[11])/8 - 
       t[12] + (1351*t[13])/36 + (503*t[14])/24 + (2597*t[15])/72 - 2*t[20] - 
       16*t[23] + 56*t[28] + 20*t[29] - 16*t[30] + 2*t[31] - 41*t[32] + 
       46*t[33] - 24*t[34] - 50*t[35] - 4*t[36] + 4*t[38] - 9*t[40] - 
       4*t[43] - 92*t[44] + 2*t[45] - t[46] + 8*t[47] + (779*t[48])/8 - 
       (31*t[49])/2 - (557*t[50])/8 + 9*t[51] + (781*t[52])/8 + 
       (31*t[53])/2 + (937*t[54])/8 - 10*t[59] - (103*t[60])/4 - 
       (627*t[61])/4 + (2875*t[62])/8 - (1603*t[63])/8 - (2051*t[64])/8 + 
       (2429*t[65])/12 + (721*t[66])/4 - 6*t[69] - 18*t[70] + 18*t[71] - 
       4*t[72] + 8*t[73] + 22*t[74] + 16*t[75] - 10*t[76] + 20*t[77] + 
       6*t[78] - 2*t[79] - 14*t[80] + 9*t[81] - 21*t[82] - 92*t[83] + 
       (43*t[84])/4 + (17*t[85])/4 - 304*t[86] - (199*t[87])/4 - 
       (135*t[88])/8 + (1355*t[89])/8 - 4*t[95] - 8*t[96] + 2*t[97] - 
       48*t[98] + 375*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*(5*t[1] + (63*t[2])/4 + (655*t[3])/24 + 
       (2599*t[4])/24 + (5165*t[5])/48 - (1621*t[6])/48 - (323*t[7])/24 - 
       (81*t[8])/8 - (1741*t[9])/16 + (6443*t[10])/48 + (1037*t[11])/48 - 
       (107*t[12])/3 + (4675*t[13])/432 - (18925*t[14])/288 - 
       (5693*t[15])/288 + 4*t[24] - (22*t[25])/3 + (29*t[26])/3 + 6*t[27] - 
       22*t[28] + t[29] + 3*t[30] - 2*t[31] + 3*t[32] + t[33] - 7*t[34] + 
       4*t[35] - (67*t[36])/3 + (41*t[37])/3 + (7*t[38])/3 - (38*t[39])/3 - 
       (7*t[40])/2 + (7*t[41])/2 - (7*t[42])/2 + (19*t[43])/4 + 
       (17*t[44])/2 + (59*t[45])/6 - (15*t[46])/2 - (50*t[47])/3 - 
       (1273*t[48])/48 + (793*t[49])/16 + (107*t[50])/48 - (757*t[51])/32 - 
       (105*t[52])/16 - (777*t[53])/16 - (5249*t[54])/48 + (19*t[59])/6 + 
       (59*t[60])/12 - (1727*t[61])/12 - (1871*t[62])/24 - (1399*t[63])/8 + 
       (1819*t[64])/24 - (2965*t[65])/36 + (653*t[66])/12 + 8*t[69] + 
       (8*t[70])/3 - (8*t[71])/3 + 4*t[72] + (17*t[73])/2 + (34*t[74])/3 - 
       (53*t[75])/2 + (104*t[76])/3 - t[77]/3 - (99*t[78])/2 - 7*t[79] - 
       (110*t[80])/3 - (113*t[81])/6 - 6*t[82] + 55*t[83] - 26*t[84] + 
       51*t[85] + (235*t[86])/3 - 75*t[87] - (133*t[88])/6 + (357*t[89])/8 - 
       (8*t[95])/3 + (58*t[96])/3 + (38*t[97])/3 + 108*t[98] - 216*t[99] + 
       470*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-15*t[1])/2 - (49*t[2])/2 + (47*t[3])/8 - (395*t[4])/8 - 
       (53*t[5])/2 - (329*t[6])/16 + (67*t[7])/8 - (405*t[8])/8 + 11*t[9] - 
       (573*t[10])/16 - (2433*t[11])/16 + (169*t[12])/16 - (4055*t[13])/48 - 
       (10945*t[14])/96 - (769*t[15])/72 - 2*t[18] - 2*t[19] - 6*t[21] - 
       4*t[22] - 2*t[23] - 5*t[24] - 13*t[25] + 6*t[26] + t[27] - 20*t[28] - 
       (15*t[29])/2 + t[30] + 4*t[31] + 12*t[32] - 11*t[33] + 29*t[34] - 
       2*t[36] - 6*t[37] - 6*t[38] + 9*t[39] - 24*t[40] - (11*t[41])/2 + 
       (7*t[42])/2 + (37*t[43])/8 - (17*t[44])/4 - (253*t[45])/4 + 22*t[46] + 
       (157*t[47])/2 - (229*t[48])/16 - (297*t[49])/16 + (495*t[50])/16 - 
       (213*t[51])/32 - (95*t[52])/16 + (281*t[53])/16 - (589*t[54])/16 - 
       2*t[57] - t[58] + (3*t[59])/2 - (797*t[60])/4 - (1131*t[61])/4 + 
       (635*t[62])/8 + (1261*t[63])/8 - (387*t[64])/8 + (313*t[65])/12 + 
       (4679*t[66])/12 + 4*t[69] + 6*t[70] - 6*t[71] - 28*t[73] - 16*t[74] + 
       50*t[75] + 15*t[76] + 12*t[77] - 14*t[78] - 16*t[79] + 14*t[80] - 
       19*t[81] + 55*t[82] + 98*t[83] - (233*t[84])/4 - (37*t[85])/4 + 
       57*t[86] + (449*t[87])/4 + (449*t[88])/8 - (431*t[89])/8 + 5*t[97] + 
       56*t[98] - 196*t[99] + 472*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*(-t[1] + 14*t[2] - 
       (175*t[3])/4 - (403*t[4])/8 + (515*t[5])/16 + (133*t[6])/2 - 
       (273*t[7])/4 + 128*t[8] + (371*t[9])/16 + (663*t[10])/16 - 
       (951*t[11])/8 + (51*t[12])/4 - (3811*t[13])/72 + (1049*t[14])/32 - 
       (265*t[15])/96 - 2*t[18] - 2*t[19] - 6*t[20] + 4*t[21] + 2*t[22] - 
       8*t[23] + 5*t[24] - 2*t[25] + 2*t[26] + 8*t[27] + 6*t[28] - t[29]/2 - 
       18*t[30] + 6*t[31] + 6*t[32] + 9*t[33] + 30*t[34] - 6*t[35] - 
       16*t[36] + 28*t[37] - 7*t[38] + 3*t[39] - (51*t[40])/2 + 2*t[41] - 
       2*t[42] - t[43]/8 - (99*t[44])/4 - (63*t[45])/2 + 2*t[46] + 23*t[47] + 
       3*t[48] + (509*t[49])/16 - 32*t[50] - (705*t[51])/32 + 70*t[52] - 
       (445*t[53])/16 + (191*t[54])/8 - 2*t[57] + 3*t[59] + (273*t[60])/8 - 
       (1813*t[61])/8 + (3077*t[62])/16 + (2419*t[63])/16 - (1613*t[64])/16 - 
       (431*t[65])/8 + (1831*t[66])/8 + 4*t[69] + 2*t[70] - 2*t[71] - 
       2*t[72] - 6*t[73] + 8*t[74] + 20*t[75] + 26*t[76] - t[77] - 32*t[78] - 
       41*t[79] - 45*t[80] - 17*t[81] + 46*t[82] + 11*t[83] - (423*t[84])/8 + 
       (429*t[85])/8 - (229*t[86])/2 - (893*t[87])/8 - (253*t[88])/16 - 
       (289*t[89])/16 - 6*t[96] + 10*t[97] + 56*t[98] - 196*t[99] + 
       472*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      (-29*t[1] + 80*t[2] + (3145*t[3])/32 + (55*t[4])/8 + (551*t[5])/8 - 
       (13027*t[6])/64 - (785*t[7])/8 - 373*t[8] - (1707*t[9])/32 + 
       (1319*t[10])/16 - (4261*t[11])/64 - (1087*t[12])/16 + 
       (397*t[13])/288 - (5633*t[14])/64 + (1825*t[15])/72 - 4*t[21] + 
       4*t[23] + 11*t[24] + 23*t[25] - 9*t[26] + 7*t[27] - 18*t[28] - 
       (29*t[29])/8 - (3*t[30])/2 + 30*t[31] - (139*t[32])/4 - (21*t[33])/4 + 
       (125*t[34])/4 + 6*t[35] + (15*t[36])/2 + 14*t[37] - 18*t[38] - 
       (99*t[39])/4 + (127*t[40])/4 - 17*t[41] + 17*t[42] + (55*t[43])/8 + 
       (17*t[44])/2 + (113*t[45])/4 + 2*t[46] - (127*t[47])/2 - 
       (7677*t[48])/64 - (39*t[49])/16 + (459*t[50])/64 - (71*t[51])/32 - 
       (2507*t[52])/64 - (281*t[53])/16 - (7379*t[54])/64 + 2*t[57] - 
       4*t[58] - (143*t[59])/8 + (1831*t[60])/32 - (12201*t[61])/32 + 
       (15119*t[62])/64 + (4785*t[63])/64 - (13933*t[64])/64 - 
       (16259*t[65])/96 + (3239*t[66])/96 - 8*t[70] + 8*t[71] + 
       (19*t[72])/2 + (63*t[74])/2 + 31*t[75] + (45*t[76])/2 - 4*t[77] - 
       14*t[78] - 66*t[79] - 83*t[80] - 12*t[81] + (87*t[82])/4 + 
       (63*t[83])/2 + (1141*t[84])/32 + (4321*t[85])/32 - 83*t[86] - 
       (3623*t[87])/32 - (5735*t[88])/64 - (3147*t[89])/64 + 8*t[95] - 
       8*t[96] - 21*t[97] - 73*t[98] + 29*t[99] + (971*t[100])/2)*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      (36*t[1] + (395*t[2])/4 + (4085*t[3])/32 + (2411*t[4])/16 + 
       (7631*t[5])/64 - (1357*t[6])/16 + (351*t[7])/32 + (2057*t[8])/32 - 
       (8311*t[9])/64 - (2509*t[10])/32 - (541*t[11])/32 - (6047*t[12])/64 - 
       (13675*t[13])/288 - (20821*t[14])/192 - (55933*t[15])/1152 + 8*t[18] + 
       12*t[21] + (23*t[22])/4 - 12*t[23] + 33*t[24] - 8*t[25] + 9*t[26] + 
       (49*t[27])/2 - 14*t[28] + 4*t[29] + (27*t[30])/2 - 2*t[31] + 6*t[32] - 
       9*t[33] - 10*t[34] + 37*t[35] + 28*t[36] + 12*t[37] + 14*t[38] + 
       3*t[39] + t[40]/2 - (21*t[41])/8 + (53*t[42])/8 - (169*t[43])/8 - 
       (9*t[44])/4 - (143*t[45])/8 + (35*t[46])/4 + (187*t[47])/4 + 
       (275*t[48])/8 + (361*t[49])/16 + (31*t[50])/8 - (675*t[51])/32 - 
       (47*t[52])/8 - (377*t[53])/16 - 50*t[54] + 2*t[57] + 7*t[58] - 
       (129*t[59])/8 - (809*t[60])/8 - (1967*t[61])/8 - (569*t[62])/8 - 
       (3031*t[63])/8 + (127*t[64])/4 - (845*t[65])/48 + (4069*t[66])/48 + 
       4*t[69] - 16*t[70] + 16*t[71] - 4*t[72] - 32*t[73] + 28*t[74] + 
       26*t[75] + 13*t[76] - (5*t[77])/4 - 48*t[78] - (81*t[80])/4 - 
       (119*t[81])/2 + (471*t[82])/8 + 43*t[83] - (617*t[84])/8 - 
       (281*t[85])/8 + (123*t[86])/4 + (517*t[87])/8 + (533*t[88])/16 + 
       (1293*t[89])/16 - 4*t[95] + 24*t[96] + 11*t[97] - 73*t[98] + 
       29*t[99] + (971*t[100])/2)*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-26*t[1] + (131*t[2])/2 + (125*t[3])/2 - 
       133*t[4] + (1131*t[5])/8 - (1275*t[6])/8 - (607*t[7])/4 - 
       (1103*t[8])/4 - (1841*t[9])/8 + (1447*t[10])/4 - (2881*t[11])/8 - 
       (259*t[12])/8 - (11821*t[13])/72 - (871*t[14])/4 + (427*t[15])/144 - 
       24*t[18] - 4*t[19] + 16*t[20] - 28*t[21] - 24*t[22] + 40*t[23] - 
       28*t[24] - 18*t[25] + 18*t[26] + 18*t[27] + 20*t[28] - 5*t[29] + 
       6*t[30] + 26*t[32] + 10*t[33] + 8*t[34] - 4*t[35] + 2*t[36] + 
       4*t[37] - 8*t[38] - 4*t[39] - 16*t[40] + 2*t[41] - 14*t[42] + 
       (157*t[43])/2 + (57*t[44])/2 - 24*t[45] - 5*t[46] - 70*t[47] - 
       (63*t[48])/8 - (31*t[49])/2 + (285*t[50])/8 - 3*t[51] + (67*t[52])/8 + 
       (31*t[53])/2 - (173*t[54])/8 + 4*t[57] - 8*t[58] + 24*t[59] - 
       (1445*t[60])/4 - (2665*t[61])/4 + (2557*t[62])/8 + (2011*t[63])/8 - 
       (3817*t[64])/8 - (701*t[65])/12 + (6985*t[66])/12 + 48*t[70] - 
       48*t[71] - 24*t[72] - 4*t[73] - 28*t[74] - 20*t[75] - 24*t[76] + 
       46*t[77] - 22*t[78] + 12*t[79] + 52*t[80] - 22*t[81] + 60*t[82] - 
       18*t[83] - (275*t[84])/4 + (165*t[85])/4 - 98*t[86] + (467*t[87])/4 + 
       (467*t[88])/8 - (247*t[89])/8 - 2*t[97] - 16*t[98] - 144*t[99] + 
       518*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (9*t[1] + (7*t[2])/2 - 10*t[3] - 200*t[4] + (113*t[5])/2 + 
       (299*t[6])/4 - (125*t[7])/4 - (125*t[8])/4 + (391*t[9])/4 + 
       (217*t[10])/4 - 176*t[11] + (217*t[12])/2 - (10123*t[13])/72 + 
       (233*t[14])/6 + (563*t[15])/72 - 8*t[21] + 12*t[22] + 8*t[23] - 
       36*t[24] - 8*t[28] + 35*t[29] - 58*t[30] + 80*t[32] - 14*t[33] - 
       62*t[34] - 16*t[35] + 10*t[36] - 20*t[37] + 8*t[39] - 22*t[40] + 
       6*t[41] - 6*t[42] + (47*t[43])/4 + 8*t[44] + 16*t[45] + 3*t[46] - 
       10*t[47] + (83*t[48])/2 - (7*t[49])/2 - (57*t[50])/2 - 3*t[51] + 
       (121*t[52])/2 + (7*t[53])/2 + (161*t[54])/2 + 4*t[57] + 23*t[59] + 
       (3*t[60])/2 - 214*t[61] - 225*t[62] - 207*t[63] - (265*t[64])/2 + 
       (346*t[65])/3 + (428*t[66])/3 + 32*t[70] - 32*t[71] - 12*t[72] + 
       20*t[73] - 36*t[74] - 64*t[75] - 10*t[76] + 8*t[77] - 84*t[78] - 
       16*t[79] + 122*t[80] - 8*t[81] - 72*t[82] + 6*t[83] - 21*t[84] + 
       36*t[85] + 267*t[86] - 118*t[87] + 13*t[88] + (199*t[89])/4 - 
       32*t[95] - 16*t[96] + 14*t[97] - 16*t[98] - 144*t[99] + 518*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      (-32*t[1] - 29*t[2] - (113*t[3])/4 + 44*t[4] - (343*t[5])/8 + 
       (131*t[6])/8 - (399*t[7])/4 + (251*t[8])/4 - (575*t[9])/8 + 
       (339*t[10])/4 - (759*t[11])/8 - (25*t[12])/8 - (871*t[13])/24 + 
       (779*t[14])/12 + (3019*t[15])/144 + 8*t[24] + 4*t[25] + 26*t[26] - 
       14*t[27] + 16*t[28] + 2*t[29] + 20*t[30] + 12*t[31] - 8*t[32] + 
       16*t[33] + 6*t[34] - 4*t[35] - 20*t[36] - 8*t[37] - 32*t[38] - 
       7*t[39] - 5*t[40] - 3*t[41] + 3*t[42] + (19*t[43])/2 + 3*t[44] - 
       (11*t[45])/2 + 14*t[46] + 3*t[47] + (195*t[48])/8 + (13*t[49])/2 - 
       (169*t[50])/8 - (65*t[51])/2 + (185*t[52])/8 - (43*t[53])/2 - 
       (59*t[54])/8 - 2*t[58] + 24*t[59] + (819*t[60])/4 - (321*t[61])/4 + 
       (665*t[62])/8 + (591*t[63])/8 - (2885*t[64])/8 + (1943*t[65])/12 + 
       (327*t[66])/4 + 4*t[70] - 4*t[71] + 16*t[73] + 4*t[74] + 24*t[75] - 
       23*t[76] + 18*t[77] + 47*t[78] - 80*t[79] - 14*t[80] + 36*t[81] - 
       29*t[82] - 64*t[83] + (293*t[84])/4 + (405*t[85])/4 - 35*t[86] - 
       (485*t[87])/4 - (197*t[88])/8 + (793*t[89])/8 - 8*t[95] - 24*t[96] - 
       10*t[97] - 144*t[98] - 12*t[99] + 750*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*(33*t[1] + 39*t[2] + 
       (369*t[3])/4 + 110*t[4] + (1427*t[5])/8 - (415*t[6])/8 - 
       (261*t[7])/4 - (231*t[8])/4 - (1541*t[9])/8 + (353*t[10])/4 - 
       (885*t[11])/8 - (1027*t[12])/8 - (2411*t[13])/72 - (3707*t[14])/12 - 
       (7231*t[15])/144 - 4*t[24] - 16*t[25] - 18*t[26] + 14*t[27] - 
       16*t[28] - 2*t[29] - 4*t[30] - 12*t[31] + 8*t[32] - 12*t[33] - 
       6*t[34] + 4*t[35] + 12*t[36] + 50*t[37] + 38*t[38] - 21*t[39] - 
       7*t[40] + 3*t[41] - 3*t[42] - (3*t[43])/2 + t[44] - (5*t[45])/2 - 
       26*t[46] + 13*t[47] - (183*t[48])/8 + (43*t[49])/2 + (405*t[50])/8 + 
       (41*t[51])/2 - (293*t[52])/8 - (61*t[53])/2 - (817*t[54])/8 + 
       2*t[58] - 18*t[59] - (995*t[60])/4 - (2975*t[61])/4 + (731*t[62])/8 - 
       (1507*t[63])/8 + (1797*t[64])/8 - (49*t[65])/4 + (4723*t[66])/12 + 
       4*t[70] - 4*t[71] - 16*t[73] + 4*t[74] - 24*t[75] - 29*t[76] - 
       12*t[77] - 31*t[78] + 80*t[79] - 142*t[80] - 52*t[81] + 73*t[82] + 
       68*t[83] - (313*t[84])/4 + (167*t[85])/4 + 95*t[86] + (553*t[87])/4 + 
       (841*t[88])/8 + (623*t[89])/8 - 8*t[95] + 8*t[96] + 2*t[97] - 
       144*t[98] - 12*t[99] + 750*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-28*t[1])/3 + (146*t[2])/3 + 
       (1487*t[3])/24 + (135*t[4])/2 + (941*t[5])/8 - (1717*t[6])/16 - 
       (2057*t[7])/12 - (1683*t[8])/4 - (1187*t[9])/4 + (319*t[10])/6 + 
       (2831*t[11])/48 - (427*t[12])/8 + (1025*t[13])/9 - (15157*t[14])/144 - 
       (31*t[15])/16 - 4*t[20] - (70*t[23])/3 - 32*t[24] + 2*t[25] - 
       2*t[26] - 2*t[27] + 4*t[28] + (115*t[29])/6 + (127*t[30])/3 + 
       (8*t[31])/3 - (28*t[32])/3 - (14*t[33])/3 + (23*t[34])/3 - 36*t[35] + 
       54*t[36] - (16*t[37])/3 - (4*t[38])/3 + (8*t[39])/3 - 5*t[40] - 
       6*t[41] + 6*t[42] + (19*t[43])/6 + (49*t[44])/3 + 46*t[45] - 2*t[46] - 
       (263*t[47])/3 - (3805*t[48])/48 - (283*t[49])/12 + (2971*t[50])/48 + 
       (139*t[51])/24 - (1225*t[52])/16 + (307*t[53])/12 - (2529*t[54])/16 - 
       7*t[59] - (4297*t[60])/24 - (4681*t[61])/24 + (13111*t[62])/48 + 
       (4739*t[63])/16 - (7015*t[64])/16 - (2947*t[65])/72 + (335*t[66])/8 - 
       4*t[69] - (16*t[70])/3 + (16*t[71])/3 - 8*t[72] + 32*t[73] - 
       (98*t[74])/3 - 40*t[75] + (13*t[76])/3 - (2*t[77])/3 + (34*t[78])/3 - 
       20*t[79] - (230*t[80])/3 + 13*t[81] - (34*t[82])/3 - 30*t[83] - 
       (367*t[84])/24 + (133*t[85])/24 - (1000*t[86])/3 + (1071*t[87])/8 + 
       (1549*t[88])/48 - (2123*t[89])/48 - (8*t[95])/3 - (44*t[96])/3 - 
       (65*t[97])/3 - 4*t[98] - 144*t[99] + 104*t[100] - 48*t[101])*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-28*t[1])/3 + 30*t[2] - (547*t[3])/8 - (409*t[4])/12 - 
       (2539*t[5])/48 + (146*t[6])/3 + (1503*t[7])/8 - (469*t[8])/24 + 
       (7931*t[9])/48 + (2261*t[10])/24 + (1107*t[11])/8 + (8699*t[12])/48 + 
       (31039*t[13])/108 - (3517*t[14])/48 - (2071*t[15])/96 + (16*t[18])/3 + 
       4*t[19] + 4*t[20] + (28*t[21])/3 - 3*t[22] - 4*t[23] - (20*t[24])/3 + 
       (200*t[25])/3 - (118*t[26])/3 - 14*t[27] - (34*t[28])/3 - 
       (23*t[29])/3 - (37*t[30])/3 - 2*t[31] + 7*t[32] + (17*t[33])/3 + 
       (20*t[34])/3 + 44*t[35] + 22*t[36] + 26*t[37] - (40*t[38])/3 - 
       (100*t[39])/3 - 5*t[40] + (7*t[41])/2 - (5*t[42])/6 - (25*t[43])/6 + 
       (19*t[44])/3 - (155*t[45])/6 - 46*t[46] + (338*t[47])/3 - 48*t[48] - 
       (115*t[49])/12 + (28*t[50])/3 + (129*t[51])/8 - (58*t[52])/3 + 
       (211*t[53])/12 - (145*t[54])/6 + 4*t[58] - (2*t[59])/3 - 
       (257*t[60])/6 + (453*t[61])/2 - (1561*t[62])/4 - (3041*t[63])/12 + 
       (757*t[64])/2 + (11779*t[65])/36 - (15683*t[66])/36 - (32*t[70])/3 + 
       (32*t[71])/3 + 4*t[73] - (208*t[74])/3 - 58*t[75] - (35*t[76])/3 + 
       (23*t[77])/3 - (88*t[78])/3 + 38*t[79] + (65*t[80])/3 - (32*t[81])/3 - 
       (313*t[82])/6 + 116*t[83] + (49*t[84])/6 + (70*t[85])/3 + 
       (811*t[86])/3 + 157*t[87] + (153*t[88])/2 + (1943*t[89])/12 - 
       (19*t[97])/3 - 4*t[98] - 144*t[99] + 104*t[100] - 48*t[101])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((89*t[1])/6 + (365*t[2])/12 + (2731*t[3])/24 + (749*t[4])/12 + 
       (1453*t[5])/16 + 3*t[6] - (5143*t[7])/12 + (2329*t[8])/12 - 
       (19801*t[9])/48 + (267*t[10])/2 - (2345*t[11])/12 - (4859*t[12])/48 - 
       (42707*t[13])/432 - (9247*t[14])/48 + (3187*t[15])/288 + 4*t[18] - 
       4*t[19] + 4*t[21] + 5*t[22] - 8*t[23] + 13*t[24] - 2*t[25] + 2*t[26] + 
       (8*t[27])/3 + (32*t[28])/3 + (112*t[29])/3 + (5*t[30])/3 - 26*t[31] - 
       (14*t[32])/3 + (47*t[33])/3 - (143*t[34])/3 - 56*t[35] - t[36] + 
       4*t[37] + (32*t[38])/3 - (43*t[39])/3 + (56*t[40])/3 + t[41]/6 - 
       (7*t[42])/6 - (395*t[43])/24 - (721*t[44])/12 + (379*t[45])/6 + 
       (7*t[46])/2 - 105*t[47] + (2527*t[48])/24 - (89*t[49])/12 - 
       (625*t[50])/8 - 2*t[51] + (577*t[52])/8 + (41*t[53])/12 + 
       (257*t[54])/8 + 6*t[57] - (11*t[59])/6 - (1073*t[60])/6 - 
       (2549*t[61])/12 + (3767*t[62])/12 - (925*t[63])/12 - (117*t[64])/8 - 
       (2795*t[65])/36 + (11603*t[66])/36 - 12*t[69] + 4*t[70] - 2*t[71] + 
       4*t[72] - 14*t[73] + 34*t[74] - 34*t[75] - (199*t[76])/3 + 17*t[77] - 
       (56*t[78])/3 + 36*t[79] - (632*t[80])/3 - 62*t[81] + (43*t[82])/2 - 
       19*t[83] - (69*t[84])/2 - (511*t[85])/6 - (699*t[86])/2 + 
       (1819*t[87])/12 + (1867*t[88])/24 + (169*t[89])/4 - (19*t[97])/3 - 
       368*t[98] + 380*t[99] + 22*t[100] + 24*t[101])*\[Zeta][2] + 
     HPL[{0, 1, 1}, 1 - u]*(-6*t[1] - (2*t[2])/5 - (109*t[3])/5 - 
       (331*t[4])/5 - (289*t[5])/10 + (309*t[6])/5 + (991*t[7])/10 - 
       (507*t[8])/10 + 125*t[9] + 62*t[10] - (279*t[11])/10 + (351*t[12])/5 + 
       (13447*t[13])/180 + (119*t[14])/12 - (967*t[15])/30 + (32*t[18])/5 - 
       (12*t[22])/5 + 32*t[25] - 28*t[26] - (248*t[27])/5 - 32*t[28] + 
       (8*t[29])/5 + 16*t[32] + 8*t[33] - 8*t[35] + (8*t[36])/5 - 4*t[38] - 
       (164*t[39])/5 - 16*t[40] + 6*t[41] - 6*t[42] + (17*t[43])/2 + 
       20*t[44] + 9*t[45] - (134*t[46])/5 - 6*t[47] - (449*t[48])/10 - 
       (279*t[49])/10 + (27*t[50])/2 + (401*t[51])/20 - (27*t[52])/2 + 
       (279*t[53])/10 - (41*t[54])/10 + 8*t[59] + 70*t[60] + 138*t[61] - 
       (197*t[62])/5 + 49*t[63] - 11*t[64] + (368*t[65])/15 - 
       (2048*t[66])/15 - 40*t[74] - 8*t[78] + 16*t[80] + 20*t[81] - 
       (328*t[82])/5 + 8*t[84] + 22*t[85] + 48*t[86] - 30*t[87] - 15*t[88] - 
       17*t[89] + (48*t[99])/5 - (114*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{0, 1, 1}, 1 - v]*((64*t[1])/5 - (211*t[2])/5 - (187*t[3])/10 - 
       (89*t[4])/5 + (183*t[5])/10 - (249*t[6])/10 - (71*t[7])/5 - 
       (349*t[8])/5 - (123*t[9])/2 - (229*t[10])/10 - (11*t[11])/2 + 
       (236*t[12])/5 - (3269*t[13])/90 - (463*t[14])/60 + (353*t[15])/30 - 
       (16*t[16])/5 - (32*t[19])/5 - 24*t[24] - (36*t[25])/5 + (36*t[26])/5 + 
       (4*t[27])/5 + (64*t[28])/5 + 6*t[29] + 8*t[30] - 4*t[32] + 4*t[33] - 
       8*t[34] + 20*t[35] - (148*t[36])/5 - 4*t[37] - (24*t[39])/5 + 
       (28*t[40])/5 + 2*t[41] - 2*t[42] + 6*t[43] + (97*t[44])/5 + 
       (28*t[46])/5 - 8*t[47] + (127*t[48])/10 + (141*t[49])/10 + 
       (39*t[50])/2 - (149*t[51])/20 - (31*t[52])/2 - (141*t[53])/10 - 
       (23*t[54])/10 + (104*t[59])/5 - (527*t[60])/5 - (944*t[61])/5 + 
       (663*t[62])/10 + (573*t[63])/10 + (144*t[64])/5 + (1312*t[65])/15 + 
       (3421*t[66])/15 + (8*t[67])/5 + (48*t[68])/5 - (24*t[69])/5 - 
       (12*t[72])/5 + (88*t[74])/5 + (24*t[75])/5 + (6*t[77])/5 + 8*t[78] + 
       24*t[79] + (224*t[80])/5 + (138*t[81])/5 - (38*t[82])/5 - 
       (108*t[83])/5 - (64*t[84])/5 - (213*t[85])/5 + (184*t[86])/5 + 
       (97*t[87])/5 + (97*t[88])/10 - (109*t[89])/10 + (8*t[92])/5 - 
       (8*t[94])/5 - 8*t[95] + (48*t[99])/5 - (114*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*((12*t[1])/5 - (36*t[2])/5 + 
       (39*t[3])/5 + (18*t[4])/5 + (333*t[5])/10 - 9*t[6] - (171*t[7])/5 + 
       27*t[8] - (723*t[9])/10 + (123*t[10])/5 + (84*t[11])/5 - 
       (117*t[12])/10 + 19*t[13] - (521*t[14])/10 + (337*t[15])/20 + 
       (12*t[22])/5 + (24*t[27])/5 - (24*t[29])/5 + (24*t[30])/5 - 
       (24*t[32])/5 + (24*t[33])/5 - (96*t[34])/5 - (48*t[35])/5 + 
       (24*t[38])/5 - (24*t[39])/5 + 12*t[40] + (12*t[43])/5 + (12*t[45])/5 + 
       (12*t[46])/5 + 12*t[47] - (33*t[48])/5 - (42*t[49])/5 - (33*t[50])/5 + 
       6*t[51] - (39*t[52])/5 + (42*t[53])/5 - (27*t[54])/5 - (6*t[59])/5 - 
       (126*t[60])/5 - (198*t[61])/5 + (99*t[62])/5 - (357*t[63])/5 + 
       (279*t[64])/5 + (88*t[65])/5 + (28*t[66])/5 - (84*t[76])/5 - 
       (24*t[77])/5 + (48*t[78])/5 + (24*t[80])/5 - (36*t[81])/5 + 
       (48*t[82])/5 + (18*t[84])/5 - (78*t[85])/5 + (72*t[86])/5 + 
       (174*t[87])/5 + (87*t[88])/5 + (93*t[89])/5 - (12*t[97])/5 - 
       144*t[98] + (516*t[99])/5 - (102*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*((12*t[1])/5 - (12*t[2])/5 + 
       (3*t[3])/5 + (132*t[4])/5 - 21*t[5] - (153*t[6])/10 - (6*t[7])/5 - 
       (132*t[9])/5 - (66*t[10])/5 + (129*t[11])/10 - (111*t[12])/5 + 
       (117*t[13])/5 - (329*t[14])/10 + (113*t[15])/30 - (18*t[29])/5 + 
       (42*t[30])/5 + (6*t[32])/5 - (6*t[33])/5 - (72*t[34])/5 + 
       (24*t[36])/5 + (24*t[38])/5 + (18*t[39])/5 + (18*t[40])/5 + 
       (48*t[44])/5 + (84*t[45])/5 - 12*t[47] + (57*t[48])/10 - 
       (66*t[49])/5 + (57*t[50])/10 + (51*t[51])/5 - (153*t[52])/10 + 
       (66*t[53])/5 - (9*t[54])/2 - (26*t[59])/5 + t[60]/5 + (877*t[61])/5 + 
       (301*t[62])/10 - (613*t[63])/10 - (1303*t[64])/10 + (548*t[65])/15 - 
       (491*t[66])/5 - (4*t[67])/5 - (12*t[68])/5 + (12*t[69])/5 + 
       (36*t[72])/5 - (116*t[74])/5 + (132*t[75])/5 - (132*t[76])/5 - 
       (28*t[77])/5 + (248*t[78])/5 - (132*t[79])/5 - (96*t[80])/5 + 
       (14*t[81])/5 + (12*t[82])/5 - (116*t[83])/5 + (91*t[84])/5 - 
       (82*t[85])/5 - 64*t[86] + (266*t[87])/5 + (133*t[88])/5 + 
       (209*t[89])/10 - (4*t[92])/5 + (4*t[94])/5 - (12*t[97])/5 - 
       144*t[98] + (516*t[99])/5 - (102*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]^3*(-10*t[99] - (73*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]^3*((-287*t[60])/15 + (476*t[61])/15 - (269*t[62])/20 + 
       (41*t[63])/20 + (38*t[64])/5 - (1078*t[65])/45 - (931*t[66])/30 - 
       6*t[74] - (2*t[78])/3 - (12*t[79])/5 + (10*t[80])/3 + (11*t[81])/3 - 
       (5*t[82])/3 + (9*t[83])/5 - (88*t[84])/15 - (73*t[85])/10 - 
       (178*t[86])/15 + (743*t[87])/30 + (743*t[88])/60 + (13*t[89])/30 - 
       10*t[99] - (73*t[100])/5)*\[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - u]*
      ((-8*t[1])/5 - (42*t[2])/5 - 5*t[3] - (184*t[4])/5 + (26*t[5])/5 + 
       (537*t[6])/10 + (51*t[7])/2 + (237*t[8])/10 + (479*t[9])/10 + 
       77*t[10] + t[11] + (149*t[12])/10 + (45*t[13])/4 + (439*t[14])/20 - 
       (431*t[15])/60 + (4*t[16])/5 - (4*t[17])/5 + (48*t[18])/5 + 
       (8*t[19])/5 - (24*t[21])/5 + 12*t[22] + (56*t[23])/5 + 2*t[24] - 
       (54*t[25])/5 + (54*t[26])/5 + 6*t[27] + 20*t[28] - (4*t[30])/5 + 
       (16*t[32])/5 + 10*t[33] + (136*t[35])/5 - (12*t[36])/5 - 
       (36*t[37])/5 - (16*t[38])/5 + (18*t[39])/5 + (16*t[40])/5 - 
       (2*t[41])/5 + (2*t[42])/5 - (9*t[43])/10 - (24*t[44])/5 + 
       (21*t[45])/5 + (6*t[46])/5 + 10*t[47] - (29*t[48])/5 - (73*t[49])/10 - 
       (61*t[50])/5 + (99*t[51])/20 + (101*t[52])/5 + (73*t[53])/10 + 
       (158*t[54])/5 + (12*t[56])/5 - 12*t[57] - (16*t[59])/5 + 
       (54*t[60])/5 + (384*t[61])/5 - 88*t[62] + 4*t[63] + 28*t[64] + 
       (82*t[65])/3 - 66*t[66] - (24*t[74])/5 - (32*t[77])/5 + (12*t[81])/5 - 
       (12*t[82])/5 + (18*t[85])/5 + (156*t[86])/5 - (18*t[87])/5 - 
       (9*t[88])/5 + (21*t[89])/5 - (8*t[92])/5 - (72*t[100])/5)*
      \[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - v]*(-36*t[2] - (15*t[3])/2 + 7*t[4] + 
       (4*t[5])/5 - (102*t[6])/5 - (142*t[7])/5 - (418*t[8])/5 - 
       (112*t[9])/5 + (237*t[10])/10 - (46*t[11])/5 + (9*t[12])/2 + 
       (23*t[13])/3 - (301*t[14])/20 + (239*t[15])/60 + (8*t[17])/5 + 
       (16*t[18])/5 + (24*t[20])/5 - (4*t[22])/5 - 10*t[24] + 4*t[25] - 
       4*t[26] - (12*t[27])/5 - (16*t[28])/5 - (66*t[29])/5 + (96*t[30])/5 - 
       (12*t[31])/5 - (6*t[32])/5 + (6*t[33])/5 - (24*t[34])/5 - 
       (16*t[35])/5 - (8*t[36])/5 - (24*t[37])/5 + (8*t[39])/5 - 4*t[40] - 
       (2*t[41])/5 + (2*t[42])/5 - (12*t[43])/5 - (33*t[44])/5 - 
       (8*t[47])/5 - (23*t[48])/5 - (47*t[49])/10 + (59*t[50])/5 - 
       (17*t[51])/20 - (59*t[52])/5 + (47*t[53])/10 - 23*t[54] - 
       (8*t[55])/5 + (4*t[56])/5 - 4*t[57] - (4*t[59])/5 - (96*t[60])/5 - 
       17*t[61] + (121*t[62])/5 + (237*t[63])/5 - (723*t[64])/10 + 
       (319*t[65])/15 + (919*t[66])/15 - (16*t[68])/5 + (24*t[69])/5 + 
       (24*t[72])/5 - (104*t[74])/5 + (36*t[75])/5 + 4*t[77] - (16*t[78])/5 + 
       (36*t[80])/5 + (6*t[81])/5 - (4*t[82])/5 - 12*t[83] - (72*t[84])/5 - 
       (113*t[85])/5 - (288*t[86])/5 + (49*t[87])/5 + t[88]/10 + 
       (28*t[89])/5 + (24*t[95])/5 - (72*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*(-12*t[99] - (54*t[100])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (6*t[59] + (277*t[60])/10 - (23*t[61])/10 + (479*t[62])/20 + 
       (273*t[63])/4 - (261*t[64])/20 + (123*t[65])/5 + (196*t[66])/15 - 
       (56*t[74])/5 + (12*t[75])/5 - (8*t[78])/5 + (8*t[79])/5 + 4*t[80] + 
       (33*t[81])/5 - (41*t[82])/5 - 12*t[83] + (48*t[84])/5 + (15*t[85])/2 + 
       (132*t[86])/5 - (223*t[87])/10 - (223*t[88])/20 - (3*t[89])/4 - 
       12*t[99] - (54*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*(18*t[99] + (129*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*((-22*t[59])/5 - (641*t[60])/10 - 
       (279*t[61])/10 - (539*t[62])/10 - (591*t[63])/10 + (1623*t[64])/20 - 
       (569*t[65])/15 + (79*t[66])/10 + (2*t[67])/5 + (34*t[74])/5 + 
       4*t[78] + (24*t[79])/5 - 6*t[80] - (46*t[81])/5 + (56*t[82])/5 + 
       (38*t[83])/5 - (54*t[84])/5 - (119*t[85])/5 + (142*t[86])/5 + 
       (227*t[87])/5 + (227*t[88])/10 + (63*t[89])/20 + 18*t[99] + 
       (129*t[100])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((156*t[99])/5 + (198*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*(-12*t[59] - (449*t[60])/5 - 
       (71*t[61])/5 - (331*t[62])/10 - (873*t[63])/10 + (125*t[64])/2 - 
       (217*t[65])/15 + (266*t[66])/5 + (4*t[67])/5 + (12*t[68])/5 - 
       (12*t[69])/5 - (12*t[72])/5 + (108*t[74])/5 + (36*t[75])/5 + 
       (16*t[77])/5 + (68*t[78])/5 - (36*t[79])/5 + (96*t[80])/5 - 20*t[81] + 
       (206*t[82])/5 - (62*t[83])/5 - 8*t[84] - (118*t[85])/5 + (8*t[86])/5 + 
       (194*t[87])/5 + (97*t[88])/5 - (15*t[89])/2 + (4*t[92])/5 - 
       (4*t[94])/5 + (156*t[99])/5 + (198*t[100])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((-8*t[1])/5 + (711*t[2])/10 + 
       (109*t[3])/10 - 36*t[4] + (1117*t[5])/20 - (105*t[6])/2 + 
       (169*t[7])/10 - (387*t[8])/10 - (1091*t[9])/20 - (83*t[10])/5 + 
       (143*t[11])/10 + (131*t[12])/20 + (911*t[13])/60 + (249*t[14])/20 + 
       (1803*t[15])/40 + (4*t[17])/5 - (44*t[18])/5 - (48*t[22])/5 + 
       (44*t[24])/5 + 6*t[25] - 6*t[26] + (34*t[27])/5 - (8*t[28])/5 + 
       (68*t[30])/5 - 4*t[31] - (14*t[32])/5 + (98*t[33])/5 - (116*t[34])/5 - 
       8*t[35] - 2*t[36] - 4*t[37] + (24*t[38])/5 - 16*t[39] + 14*t[40] - 
       (18*t[41])/5 + (18*t[42])/5 + (24*t[43])/5 + (48*t[44])/5 + 
       (53*t[45])/5 - 3*t[46] - (32*t[47])/5 - 33*t[48] - (267*t[49])/10 - 
       (37*t[50])/5 + (7*t[51])/2 - 7*t[52] + (267*t[53])/10 + (74*t[54])/5 - 
       (12*t[56])/5 + 12*t[57] - 14*t[59] - (7*t[60])/5 - (66*t[61])/5 + 
       (119*t[62])/10 - (887*t[63])/10 + 76*t[64] - (613*t[65])/15 - 
       (231*t[66])/5 - (12*t[68])/5 - (16*t[71])/5 - (36*t[74])/5 - 
       20*t[75] - (84*t[76])/5 - 20*t[77] + (48*t[78])/5 - (264*t[79])/5 + 
       (64*t[80])/5 - (108*t[81])/5 + (2*t[82])/5 + (72*t[83])/5 + 
       (41*t[84])/5 + (51*t[85])/5 + (134*t[86])/5 + (7*t[87])/5 + 
       (7*t[88])/10 - (203*t[89])/10 - (4*t[90])/5 - (12*t[97])/5 - 
       144*t[98] + (456*t[99])/5 + (24*t[100])/5 - (24*t[102])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((12*t[1])/5 + (451*t[2])/10 - (53*t[3])/5 + (64*t[4])/5 + 
       (349*t[5])/10 - (19*t[6])/4 - (4*t[7])/5 - (683*t[8])/5 - 
       (511*t[9])/10 - (199*t[10])/10 - (549*t[11])/20 - (139*t[12])/10 + 
       (1351*t[13])/90 - (527*t[14])/12 + (5069*t[15])/180 - (4*t[17])/5 + 
       (16*t[18])/5 + 4*t[22] - (76*t[24])/5 + 2*t[25] - 2*t[26] - 10*t[27] - 
       (8*t[28])/5 - (42*t[29])/5 - (42*t[30])/5 + (52*t[31])/5 - 
       (8*t[32])/5 - (28*t[33])/5 - (92*t[34])/5 - (68*t[35])/5 + 
       (114*t[36])/5 - 20*t[37] + (24*t[38])/5 - 2*t[39] + (28*t[40])/5 - 
       6*t[41] + 6*t[42] + (24*t[43])/5 + 12*t[44] + (44*t[45])/5 - 3*t[46] - 
       (14*t[47])/5 - (397*t[48])/20 - (199*t[49])/10 + (959*t[50])/20 + 
       (253*t[51])/10 - (1151*t[52])/20 + (199*t[53])/10 - (75*t[54])/4 + 
       (4*t[56])/5 - 4*t[57] - (22*t[59])/5 - (547*t[60])/10 + 
       (43*t[61])/10 + (887*t[62])/20 + (761*t[63])/20 - (209*t[64])/4 + 
       (1817*t[65])/30 + (1723*t[66])/30 + 4*t[68] - (16*t[71])/5 + 
       (24*t[72])/5 - (192*t[74])/5 + 4*t[75] - (132*t[76])/5 - 
       (24*t[77])/5 + (204*t[78])/5 - (328*t[79])/5 + (332*t[80])/5 + 
       20*t[81] - (158*t[82])/5 + (32*t[83])/5 + (19*t[84])/2 - 
       (381*t[85])/10 - (224*t[86])/5 + (213*t[87])/2 + (213*t[88])/4 - 
       (221*t[89])/20 - (4*t[90])/5 - (12*t[97])/5 - 144*t[98] + 
       (456*t[99])/5 + (24*t[100])/5 - (24*t[102])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((-16*t[59])/5 + (153*t[60])/5 + (363*t[61])/5 - (302*t[62])/5 + 
       (124*t[63])/5 - (591*t[64])/10 + (73*t[65])/5 - (167*t[66])/3 - 
       (4*t[68])/5 - (24*t[72])/5 - (24*t[73])/5 - (128*t[74])/5 + 
       (28*t[75])/5 - (18*t[77])/5 + 4*t[78] - (114*t[79])/5 + (88*t[80])/5 - 
       2*t[81] + (34*t[82])/5 - (16*t[83])/5 + (46*t[84])/5 - (13*t[85])/5 + 
       (314*t[86])/5 - 11*t[87] - (11*t[88])/2 - (219*t[89])/10 - 
       (472*t[99])/5 - (516*t[100])/5 - (16*t[102])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*(-4*t[59] - (27*t[60])/2 - 
       (513*t[61])/10 + (431*t[62])/10 + (271*t[63])/10 - (29*t[64])/4 + 
       (454*t[65])/15 + (753*t[66])/10 + (2*t[68])/5 - (24*t[72])/5 - 
       (24*t[73])/5 + (52*t[74])/5 + (106*t[75])/5 + (9*t[77])/5 + 16*t[78] + 
       (51*t[79])/5 - (48*t[80])/5 - (14*t[81])/5 + (47*t[82])/5 - 
       (187*t[83])/5 + (34*t[84])/5 - 4*t[85] - (193*t[86])/5 - 
       (62*t[87])/5 - (31*t[88])/5 + (209*t[89])/20 + (136*t[99])/5 + 
       42*t[100] + (4*t[102])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*((-253*t[60])/10 - (133*t[61])/10 - (119*t[62])/4 + 
       (963*t[63])/20 + (2047*t[64])/20 - (133*t[65])/10 - (91*t[66])/30 - 
       (24*t[73])/5 - 10*t[74] + (72*t[75])/5 + (38*t[78])/5 + (14*t[81])/5 - 
       (24*t[82])/5 - (94*t[83])/5 - (13*t[84])/10 - (39*t[85])/2 + 
       (317*t[87])/10 + (317*t[88])/20 + (93*t[89])/4 + (136*t[99])/5 + 
       42*t[100] + (4*t[102])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*((14*t[1])/5 - (5*t[2])/2 - (18*t[3])/5 - 
       (91*t[4])/5 + (256*t[5])/5 - (59*t[6])/10 - 29*t[7] + (121*t[8])/5 - 
       (799*t[9])/10 + (1243*t[10])/10 - (119*t[11])/2 - (169*t[12])/5 - 
       (866*t[13])/45 - (2591*t[14])/30 + (1589*t[15])/60 - (4*t[16])/5 - 
       (4*t[17])/5 - (16*t[19])/5 + (12*t[22])/5 - (2*t[24])/5 - 
       (84*t[25])/5 + (84*t[26])/5 + (84*t[27])/5 - (36*t[28])/5 - 
       (24*t[29])/5 + (48*t[30])/5 - (16*t[31])/5 - 2*t[32] - (32*t[33])/5 + 
       (4*t[35])/5 - (18*t[36])/5 + (32*t[37])/5 - (16*t[38])/5 + 2*t[39] - 
       (26*t[40])/5 + (8*t[41])/5 - (8*t[42])/5 + (36*t[43])/5 + 
       (24*t[44])/5 - (12*t[45])/5 + (101*t[46])/5 + 6*t[47] - 
       (21*t[48])/10 - (31*t[49])/10 + (71*t[50])/10 - (29*t[51])/10 - 
       (71*t[52])/10 + (31*t[53])/10 - (73*t[54])/10 + (28*t[59])/5 - 
       115*t[60] - (1181*t[61])/5 + (531*t[62])/5 - 65*t[63] + 
       (413*t[64])/10 - (14*t[65])/3 + (1014*t[66])/5 + (16*t[68])/5 - 
       (12*t[69])/5 + (12*t[72])/5 + 44*t[74] + (124*t[75])/5 + 
       (64*t[78])/5 + (264*t[79])/5 + 4*t[80] + (12*t[81])/5 + 
       (194*t[82])/5 - (182*t[83])/5 - (51*t[84])/5 - 37*t[85] - 
       (136*t[86])/5 + 47*t[87] + (47*t[88])/2 + (407*t[89])/10 - 
       (144*t[98])/5 + (648*t[99])/5 + (828*t[100])/5 + (24*t[102])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((67*t[2])/10 - 45*t[3] - (64*t[4])/5 - (437*t[5])/5 + (27*t[6])/2 + 
       (402*t[7])/5 - (56*t[8])/5 + (277*t[9])/2 + (583*t[10])/10 - 
       (97*t[11])/2 + (79*t[12])/5 - (1093*t[13])/90 + (629*t[14])/30 - 
       (263*t[15])/60 + (4*t[17])/5 + (42*t[24])/5 + 2*t[25] - 2*t[26] - 
       (18*t[27])/5 - (32*t[28])/5 - (22*t[29])/5 + (42*t[30])/5 + 
       (8*t[31])/5 + (16*t[32])/5 - (14*t[33])/5 + (24*t[34])/5 + 
       (32*t[35])/5 + (14*t[36])/5 + (16*t[37])/5 + (2*t[39])/5 - 
       (44*t[40])/5 + (8*t[41])/5 - (8*t[42])/5 + (12*t[43])/5 + 
       (64*t[44])/5 + 8*t[45] - (13*t[46])/5 - (54*t[47])/5 - 
       (121*t[48])/10 - (161*t[49])/10 + (79*t[50])/10 + (13*t[51])/10 - 
       (79*t[52])/10 + (161*t[53])/10 + (283*t[54])/10 - (4*t[55])/5 - 
       (2*t[59])/5 + (47*t[60])/5 - (123*t[61])/5 + (251*t[62])/10 + 
       (13*t[63])/10 - (533*t[64])/10 + (91*t[65])/3 + (1529*t[66])/15 - 
       (16*t[68])/5 - (48*t[72])/5 + (176*t[74])/5 + (208*t[75])/5 - 
       (48*t[76])/5 + 8*t[77] + (232*t[78])/5 - (12*t[79])/5 - (84*t[80])/5 - 
       (24*t[81])/5 + 4*t[82] - 56*t[83] + (89*t[84])/5 + (77*t[85])/5 - 
       (312*t[86])/5 - (97*t[87])/5 - (97*t[88])/10 + (737*t[89])/10 + 
       8*t[95] - (144*t[98])/5 + (648*t[99])/5 + (828*t[100])/5 + 
       (24*t[102])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - v]*
      ((848*t[59])/35 + (3076*t[60])/105 - (180*t[61])/7 + (5146*t[62])/105 - 
       (190*t[63])/21 - (424*t[64])/35 + (3874*t[65])/105 + 
       (19486*t[66])/315 + (64*t[67])/35 - (64*t[70])/7 + (64*t[71])/7 + 
       (264*t[74])/7 - (976*t[76])/105 + (32*t[78])/21 + (152*t[81])/7 - 
       24*t[82] + (36*t[83])/5 + (3058*t[84])/105 - (32*t[85])/21 - 
       (3964*t[87])/105 - (1982*t[88])/105 - (104*t[89])/35 + (2*t[91])/35)*
      \[Zeta][2]^3 + HPL[{0, 0, 0, 1}, 1 - u]*(-6*t[1] - 26*t[2] - 
       (13*t[3])/2 - (85*t[4])/2 + (291*t[5])/4 + (79*t[6])/2 - 29*t[7] + 
       123*t[8] - (225*t[9])/4 + (137*t[10])/4 - 13*t[11] - (29*t[12])/2 + 
       (257*t[13])/9 - (47*t[14])/24 + (247*t[15])/8 + 8*t[18] + 2*t[19] + 
       8*t[21] - 2*t[23] + 8*t[24] + 3*t[26] - 2*t[29] + 4*t[31] - 4*t[32] + 
       4*t[33] + 4*t[34] + 4*t[38] - 4*t[39] + 4*t[40] + 11*t[41] + t[42] + 
       t[43]/2 - 6*t[44] + 15*t[45] + 2*t[46] - 54*t[47] - t[48]/2 + 
       (15*t[49])/4 - (45*t[50])/2 - (43*t[51])/8 + (37*t[52])/2 - 
       (15*t[53])/4 + 21*t[54] + t[58] - 11*t[59] + 6*t[60] + 3*t[61] - 
       6*t[62] + 6*t[63] + 22*t[64] - 10*t[65] + (16*t[66])/3 - 6*t[89])*
      \[Zeta][3] + HPL[{0, 0, 0, 1}, 1 - v]*(-27*t[2] - (29*t[3])/2 + 
       17*t[4] - (263*t[5])/4 - (31*t[6])/4 + (41*t[7])/2 + (107*t[8])/2 + 
       (297*t[9])/4 + 44*t[10] + (21*t[11])/4 + (13*t[12])/4 - (65*t[13])/9 + 
       (661*t[14])/12 + (517*t[15])/24 - 2*t[18] + 2*t[19] - 8*t[20] + 
       4*t[22] - 8*t[23] - 2*t[29] + 2*t[32] - 8*t[33] - 20*t[34] + 6*t[37] - 
       2*t[39] - 8*t[40] + 2*t[41] - 3*t[42] - 3*t[43] + t[44] + t[45] + 
       3*t[47] + (11*t[48])/4 - (5*t[49])/2 + (99*t[50])/4 + (9*t[51])/4 - 
       (27*t[52])/4 + (5*t[53])/2 - (15*t[54])/4 + 6*t[59] - (19*t[60])/2 + 
       (173*t[61])/2 - 23*t[62] + 91*t[63] - (383*t[64])/4 + 22*t[65] + 
       (179*t[66])/6 + 4*t[69] - 8*t[70] + 8*t[71] - t[76] + 4*t[77] + 
       2*t[78] - 30*t[80] - 3*t[81] - 3*t[82] + 7*t[84] - 6*t[85] - 
       12*t[86] + 10*t[87] - 11*t[88] - (21*t[89])/4 + 2*t[96])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*(-7*t[1] + 4*t[2] - (379*t[3])/6 + 
       (233*t[4])/6 - (1247*t[5])/12 + (59*t[6])/6 - t[7]/6 + (35*t[8])/2 + 
       (345*t[9])/4 + (37*t[10])/12 + (58*t[11])/3 - (64*t[12])/3 - 
       (3097*t[13])/108 + (3797*t[14])/36 + (385*t[15])/24 - 4*t[18] - 
       4*t[20] - 4*t[21] - 2*t[22] + 4*t[23] - 4*t[24] + (52*t[25])/3 - 
       (29*t[26])/3 - 6*t[27] + 8*t[28] + 8*t[29] + t[30] - 16*t[31] + 
       (31*t[32])/2 - 6*t[33] - 8*t[35] - (32*t[36])/3 - (38*t[37])/3 - 
       (31*t[38])/3 + (32*t[39])/3 - (3*t[40])/2 - 4*t[41] + 2*t[42] + 
       (13*t[43])/2 + t[44] + (47*t[45])/3 + 3*t[46] - (130*t[47])/3 + 
       (53*t[48])/6 + (11*t[49])/4 - (7*t[50])/6 - (41*t[51])/4 - 
       (3*t[52])/2 - (99*t[53])/4 - (89*t[54])/6 - 3*t[58] + (16*t[59])/3 + 
       (550*t[60])/3 + (689*t[61])/3 + (607*t[62])/12 + (363*t[63])/4 - 
       (3713*t[64])/12 - (919*t[65])/18 - (233*t[66])/6 - 2*t[69] + 
       (52*t[70])/3 - (52*t[71])/3 + 48*t[72] + (26*t[74])/3 + 24*t[75] - 
       (86*t[76])/3 - (2*t[77])/3 + 47*t[78] - 20*t[79] + (20*t[80])/3 + 
       (34*t[81])/3 - 24*t[82] - t[83] + (115*t[84])/2 + 28*t[85] - 
       (280*t[86])/3 - (199*t[87])/2 - (145*t[88])/12 - 47*t[89] - 
       (28*t[95])/3 - (52*t[96])/3 + (13*t[97])/3 - 112*t[98] + 96*t[99] - 
       316*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      (-8*t[1] + 17*t[2] - (50*t[3])/3 - (110*t[4])/3 + (517*t[5])/12 + 
       (787*t[6])/12 + (28*t[7])/3 + 156*t[8] - (27*t[9])/4 - (109*t[10])/6 + 
       (229*t[11])/12 + (515*t[12])/12 - (275*t[13])/54 + (2263*t[14])/72 + 
       (389*t[15])/24 - 4*t[18] + 4*t[20] - 4*t[21] - 2*t[22] + 4*t[23] - 
       4*t[24] + (28*t[25])/3 + t[26]/3 + 2*t[27] - 8*t[28] - 6*t[29] - 
       21*t[30] - 16*t[31] + (29*t[32])/2 - 6*t[33] - 14*t[34] + 8*t[35] + 
       (16*t[36])/3 + (10*t[37])/3 - (37*t[38])/3 + (41*t[39])/3 - 
       (25*t[40])/2 - t[41] - t[42] + 3*t[43] + 2*t[44] - (22*t[45])/3 + 
       5*t[46] + (8*t[47])/3 + (499*t[48])/12 - (69*t[49])/2 - 
       (341*t[50])/12 + (137*t[51])/8 + (143*t[52])/4 + (87*t[53])/2 + 
       (107*t[54])/12 + t[58] + (37*t[59])/3 + (131*t[60])/6 + 
       (259*t[61])/6 - (401*t[62])/12 - (477*t[63])/4 + (959*t[64])/6 - 
       (1255*t[65])/18 + (64*t[66])/3 - 2*t[69] + (52*t[70])/3 - 
       (52*t[71])/3 + 40*t[72] + (26*t[74])/3 - 24*t[75] - (77*t[76])/3 - 
       (8*t[77])/3 + 11*t[78] + 20*t[79] - (46*t[80])/3 - (47*t[81])/3 + 
       31*t[82] + t[83] + (23*t[84])/2 - 45*t[85] - (16*t[86])/3 + 
       (65*t[87])/2 + (647*t[88])/12 - (103*t[89])/4 - (28*t[95])/3 - 
       (10*t[96])/3 + (31*t[97])/3 - 112*t[98] + 96*t[99] - 316*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      (100*t[98] - 92*t[99] - 133*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*(-3*t[59] + 76*t[60] + 95*t[61] - 
       (81*t[62])/2 + (163*t[63])/2 - 138*t[64] - (229*t[65])/6 - 
       (403*t[66])/3 - 4*t[69] + 4*t[72] + 2*t[73] - 2*t[74] + 30*t[75] + 
       26*t[76] + 4*t[77] - 6*t[78] - 10*t[79] + 34*t[80] + 15*t[81] - 
       9*t[82] - 18*t[83] + 15*t[84] + (37*t[85])/2 - 10*t[86] - 
       (133*t[87])/2 - (133*t[88])/4 + t[89] + 2*t[97] + 100*t[98] - 
       92*t[99] - 133*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(28*t[98] - 20*t[99] - 102*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-3*t[59])/2 + 71*t[60] + 109*t[61] + (205*t[62])/6 - (229*t[63])/6 - 
       (517*t[64])/3 - (952*t[65])/9 - (1082*t[66])/9 + 4*t[70] - 4*t[71] + 
       20*t[72] + 2*t[73] + 8*t[74] + 6*t[75] + 6*t[76] + 2*t[77] - 
       15*t[79] + 13*t[80] + 4*t[81] - 10*t[82] + (88*t[83])/3 - 
       (31*t[84])/6 + (80*t[85])/3 - (163*t[86])/3 - (184*t[87])/3 - 
       (92*t[88])/3 - (187*t[89])/3 + t[97] + 28*t[98] - 20*t[99] - 
       102*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((5*t[59])/2 + (113*t[60])/3 + (145*t[61])/2 + 
       (7*t[62])/4 - (941*t[63])/12 - (206*t[64])/3 - (1589*t[65])/18 - 
       (188*t[66])/9 - 2*t[69] + 8*t[70] - 8*t[71] + (26*t[72])/3 + 4*t[73] + 
       2*t[74] - 22*t[75] - 16*t[76] + 2*t[77] + 3*t[78] - 4*t[79] - 
       20*t[80] - (37*t[81])/3 - t[82]/3 + (47*t[83])/3 + (28*t[84])/3 - 
       (37*t[85])/6 - 39*t[86] + (41*t[87])/3 + (125*t[88])/6 - 
       (56*t[89])/3 - 4*t[95] - 4*t[96] + 3*t[97] - 72*t[98] + 88*t[99] - 
       92*t[100])*\[Zeta][3] + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-26*t[1])/3 - (145*t[2])/6 + (1127*t[3])/12 - (75*t[4])/2 + 
       (359*t[5])/4 - (127*t[6])/4 - (305*t[7])/6 - (289*t[8])/2 - 
       (627*t[9])/4 + (142*t[10])/3 - (509*t[11])/12 - (37*t[12])/4 - 
       (1481*t[13])/36 - (8161*t[14])/72 - (91*t[15])/12 - 6*t[18] + 
       2*t[19] - 6*t[20] - 10*t[21] + 6*t[22] + (28*t[23])/3 - 8*t[24] + 
       8*t[25] - 3*t[26] - 4*t[27] - 12*t[28] + (29*t[29])/6 + (25*t[30])/6 - 
       (56*t[31])/3 - (73*t[32])/6 + (13*t[33])/6 - (41*t[34])/3 + 8*t[35] + 
       2*t[36] + (22*t[37])/3 - (23*t[38])/3 - (17*t[39])/3 + 4*t[40] - 
       3*t[41] + t[42] + (7*t[43])/3 + (29*t[44])/3 - 4*t[45] - t[46] - 
       (22*t[47])/3 - (41*t[48])/12 - (44*t[49])/3 - t[50]/12 - t[51]/24 + 
       (23*t[52])/4 + (37*t[53])/6 - (141*t[54])/4 + t[58] + 6*t[59] - 
       (619*t[60])/3 - (707*t[61])/6 - (139*t[62])/12 + (753*t[63])/4 + 
       229*t[64] - (1049*t[65])/18 + (491*t[66])/3 + 6*t[69] + (34*t[70])/3 - 
       (34*t[71])/3 - (22*t[74])/3 - 52*t[75] - (55*t[76])/3 + (11*t[77])/3 - 
       (85*t[78])/3 + 42*t[79] - (166*t[80])/3 - 28*t[81] + (79*t[82])/3 + 
       6*t[83] - (239*t[84])/6 - (379*t[85])/6 - (14*t[86])/3 + 
       (205*t[87])/2 + (563*t[88])/12 - (479*t[89])/6 + (32*t[95])/3 - 
       (4*t[96])/3 - t[97]/3 - 44*t[98] + 12*t[99] - 90*t[100])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((22*t[1])/3 - (43*t[2])/2 - 
       52*t[3] - (343*t[4])/6 - (1061*t[5])/12 + (133*t[6])/12 + 
       (175*t[7])/4 + (965*t[8])/12 + (431*t[9])/6 - (541*t[10])/12 + 
       50*t[11] + (391*t[12])/12 - (377*t[13])/216 + (1945*t[14])/24 - 
       (79*t[15])/3 + (2*t[18])/3 + 2*t[20] - (4*t[21])/3 - 2*t[22] + 
       2*t[23] + (2*t[24])/3 + (34*t[25])/3 - (44*t[26])/3 - 2*t[27] + 
       (22*t[28])/3 + (8*t[29])/3 - (23*t[30])/3 - 2*t[31] + (43*t[32])/2 - 
       (20*t[33])/3 + (28*t[34])/3 + 12*t[35] - 2*t[36] - 2*t[37] + 
       (10*t[38])/3 + (25*t[39])/3 - (15*t[40])/2 + (4*t[42])/3 + 
       (23*t[43])/12 - (7*t[44])/3 + (70*t[45])/3 - 3*t[46] - (11*t[47])/3 + 
       (25*t[48])/2 - (175*t[49])/6 - (65*t[50])/6 + (91*t[51])/8 + 
       (89*t[52])/6 + (44*t[53])/3 + (307*t[54])/6 - t[59]/3 + 
       (881*t[60])/6 + 246*t[61] - 254*t[62] + (14*t[63])/3 + (307*t[64])/4 + 
       (2029*t[65])/18 - (1975*t[66])/9 + 4*t[69] + (14*t[70])/3 - 
       (14*t[71])/3 + 18*t[72] + 2*t[73] - (26*t[74])/3 - 18*t[75] - 
       (52*t[76])/3 + (31*t[77])/3 + (73*t[78])/3 - 4*t[79] + (31*t[80])/3 - 
       t[81]/3 - (41*t[82])/6 - 3*t[83] + (245*t[84])/6 + (121*t[85])/6 + 
       (239*t[86])/3 - (53*t[87])/2 + (79*t[88])/4 + (397*t[89])/12 - 
       4*t[95] - 14*t[96] + (4*t[97])/3 - 44*t[98] + 12*t[99] - 90*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      (-t[1]/2 - (7*t[2])/2 + (63*t[3])/8 - (3*t[4])/4 + (89*t[5])/16 - 
       (37*t[6])/2 - (171*t[7])/8 - (325*t[8])/8 - (233*t[9])/16 + 
       (61*t[10])/8 - (129*t[11])/8 - (121*t[12])/16 - (457*t[13])/72 - 
       (331*t[14])/48 - (385*t[15])/96 - t[22] - 2*t[25] - t[26] - 2*t[30] - 
       2*t[32] + 2*t[33] + t[34] + 4*t[35] + 2*t[38] - 2*t[39] + 4*t[40] - 
       t[41] + t[42] - 2*t[43] + (7*t[45])/2 - t[46] - 9*t[47] - 
       (9*t[48])/4 + (21*t[49])/4 - (21*t[50])/4 - (7*t[51])/8 + t[52]/4 - 
       (21*t[53])/4 - (5*t[54])/4 - t[58] + 2*t[59] - (61*t[60])/3 + 
       (187*t[61])/2 + (5*t[62])/2 - (391*t[63])/6 - (643*t[64])/6 - 
       (2245*t[65])/36 - (1271*t[66])/36 - 2*t[69] - (10*t[72])/3 + 4*t[73] - 
       24*t[75] + 8*t[76] - 3*t[77] - 13*t[78] - 4*t[79] - 9*t[80] - 
       (4*t[81])/3 - (23*t[82])/6 + (155*t[83])/3 - (67*t[84])/6 + 
       (13*t[85])/3 - 45*t[86] + (25*t[87])/6 + (25*t[88])/12 - 
       (74*t[89])/3 + t[97] + 80*t[98] - 24*t[99] - 88*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      (2*t[1] - 4*t[2] + (15*t[3])/8 + (43*t[4])/2 + (15*t[5])/2 + 
       (31*t[6])/16 - 13*t[7] + (39*t[8])/2 - (13*t[9])/8 + (85*t[10])/4 + 
       (177*t[11])/16 - (7*t[12])/4 + (301*t[13])/72 + (189*t[14])/16 - 
       (113*t[15])/18 + (7*t[29])/2 + 3*t[30] + 2*t[32] - 2*t[33] - 3*t[34] - 
       2*t[36] + t[38] + 3*t[39] - 2*t[40] + t[41] - t[42] - 9*t[44] + 
       2*t[47] + (73*t[48])/16 + (37*t[49])/4 - (175*t[50])/16 - 
       (33*t[51])/8 + (143*t[52])/16 - (21*t[53])/4 - (9*t[54])/16 + 
       (9*t[59])/2 - (425*t[60])/24 + (965*t[61])/8 - (739*t[62])/16 - 
       (6215*t[63])/48 - (857*t[64])/48 - (7763*t[65])/72 - 
       (10957*t[66])/72 - 4*t[69] - 8*t[70] + 8*t[71] - (16*t[72])/3 + 
       2*t[73] - 6*t[74] - 8*t[75] + 21*t[76] - 35*t[78] + 8*t[79] + 
       14*t[80] + (8*t[81])/3 - t[82]/3 + (92*t[83])/3 - (799*t[84])/24 - 
       (439*t[85])/24 + 15*t[86] - (251*t[87])/24 - (1115*t[88])/48 - 
       (1883*t[89])/48 + 10*t[96] + 4*t[97] + 80*t[98] - 24*t[99] - 
       88*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(-4*t[2] - (17*t[3])/8 + (13*t[4])/4 - 
       (19*t[5])/16 - (17*t[6])/4 - (15*t[7])/8 - (121*t[8])/8 + 
       (59*t[9])/16 - (3*t[10])/8 - (7*t[11])/8 + (3*t[12])/16 - 
       (41*t[13])/24 + (305*t[14])/48 + (49*t[15])/288 + t[22] - 2*t[30] + 
       2*t[32] + 4*t[35] - t[41]/2 + t[42]/2 - t[43] + 2*t[44] + 
       (11*t[45])/2 - t[46] - 11*t[47] + t[48]/2 - t[49]/4 + (3*t[50])/2 + 
       (7*t[51])/8 - (3*t[52])/2 + t[53]/4 - t[54] + t[59]/2 + (27*t[60])/2 + 
       (11*t[61])/2 + t[62] - t[63] - 30*t[64] - (53*t[65])/4 - 
       (11*t[66])/4 + t[77] - 15*t[80] - (3*t[82])/2 + (5*t[84])/2 - 
       t[85]/2 - 9*t[86] - (5*t[87])/2 - (5*t[88])/4 - (7*t[89])/4 + 
       100*t[98] - 92*t[99] - 66*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (t[1] + t[2] + (27*t[3])/8 - t[4]/2 + (3*t[5])/4 + (83*t[6])/16 - 
       (11*t[7])/2 + 2*t[8] + (5*t[9])/8 + (7*t[10])/4 - (59*t[11])/16 + 
       t[12] + (37*t[13])/72 + (239*t[14])/48 - (33*t[15])/8 + 2*t[19] + 
       (7*t[29])/2 - 3*t[30] - t[34] - 2*t[36] - 4*t[37] + t[41] - t[42] - 
       3*t[44] + (5*t[48])/16 + t[49]/4 - (19*t[50])/16 - t[51]/8 + 
       (19*t[52])/16 - t[53]/4 + (123*t[54])/16 - t[59] + (709*t[60])/8 + 
       (733*t[61])/8 - (2437*t[62])/48 - (3227*t[63])/48 - (4117*t[64])/48 - 
       (275*t[65])/72 - (9757*t[66])/72 - 4*t[69] - 4*t[70] + 4*t[71] + 
       10*t[72] + 4*t[73] + 12*t[75] + 18*t[76] + 4*t[77] - 8*t[78] - 
       5*t[79] + 39*t[80] + 11*t[81] - 12*t[82] + (22*t[83])/3 + 
       (281*t[84])/24 + (541*t[85])/24 + (47*t[86])/3 - (1643*t[87])/24 - 
       (1643*t[88])/48 + (221*t[89])/48 + t[97] + 100*t[98] - 92*t[99] - 
       66*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      (-t[1]/2 - 32*t[2] - (65*t[3])/4 - (9*t[4])/2 - (239*t[5])/4 + 
       43*t[6] + t[7] + 66*t[8] - (11*t[9])/4 - (7*t[10])/4 - 54*t[11] - 
       (15*t[12])/2 - (1087*t[13])/36 + (487*t[14])/24 + (593*t[15])/36 + 
       4*t[19] - 2*t[21] - 2*t[22] + 6*t[23] + 2*t[24] - 2*t[27] - 4*t[28] - 
       25*t[29] - 4*t[30] + 21*t[32] - 29*t[34] + 4*t[35] - 4*t[37] + 
       3*t[38] - 7*t[39] + 10*t[40] + (5*t[41])/2 - (5*t[42])/2 - 7*t[43] + 
       (19*t[44])/2 + 25*t[45] - 25*t[47] - 2*t[48] - (111*t[49])/4 + 
       18*t[50] + (139*t[51])/8 - 21*t[52] + (63*t[53])/4 + 51*t[54] + 
       13*t[59] + 43*t[60] + (185*t[61])/2 + (53*t[62])/2 + (45*t[63])/2 - 
       (547*t[64])/4 + (172*t[65])/3 + (653*t[66])/6 + 2*t[69] + 18*t[72] - 
       16*t[73] + 8*t[75] - 70*t[76] - 9*t[77] + 58*t[78] - 4*t[79] - 
       48*t[80] - 8*t[81] - t[82] + 21*t[83] + 60*t[84] + 3*t[85] - 
       24*t[86] + 18*t[87] + 24*t[88] + 25*t[89] - 12*t[95] - 22*t[96] - 
       10*t[97] - 456*t[98] + 480*t[99] - 66*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((13*t[1])/2 - 8*t[2] - 
       (29*t[3])/2 + 51*t[4] + (39*t[5])/4 + 59*t[6] - (167*t[7])/4 + 
       (91*t[8])/4 - 90*t[9] - (45*t[10])/4 - (61*t[11])/4 - (185*t[12])/4 - 
       (113*t[13])/24 + (139*t[14])/6 + (383*t[15])/9 + 4*t[19] - 2*t[20] - 
       2*t[21] - 6*t[22] + 12*t[23] + 8*t[25] + 6*t[26] - 8*t[27] + 2*t[29] + 
       2*t[30] - 4*t[32] + 2*t[33] - 31*t[34] - 5*t[38] - 2*t[39] + 7*t[40] + 
       (15*t[41])/2 - (23*t[42])/2 + (63*t[43])/4 - 14*t[44] + (45*t[45])/2 - 
       2*t[46] - 68*t[47] + (103*t[48])/4 - 6*t[49] - (45*t[50])/4 + 
       6*t[51] + (33*t[52])/4 + 6*t[53] + (97*t[54])/4 - 8*t[57] + 2*t[58] + 
       26*t[59] - (9*t[60])/2 + (155*t[61])/2 + (235*t[62])/2 + 
       (77*t[63])/2 - (199*t[64])/4 - (463*t[65])/3 + (271*t[66])/6 + 
       4*t[72] - 16*t[73] + 16*t[75] - 71*t[76] - 4*t[77] + 54*t[78] - 
       8*t[79] - 66*t[80] - 13*t[81] - 10*t[82] - 2*t[83] + 19*t[84] - 
       52*t[85] - 112*t[86] + 56*t[87] + 28*t[88] + (121*t[89])/4 - 6*t[97] - 
       456*t[98] + 480*t[99] - 66*t[100])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]^2*((-11*t[1])/6 + (13*t[2])/6 + (7*t[3])/12 + 
       (10*t[4])/3 - (135*t[5])/8 - (19*t[6])/2 + (43*t[7])/12 - 
       (673*t[8])/12 + (971*t[9])/24 - (85*t[10])/4 - (487*t[11])/12 - 
       (191*t[12])/24 - (958*t[13])/27 + (761*t[14])/24 - (1535*t[15])/144 - 
       2*t[19] + 2*t[21] - 2*t[23] - 2*t[25] - t[26] - (14*t[27])/3 + 
       (4*t[28])/3 + (14*t[29])/3 - (14*t[30])/3 - 4*t[31] + (8*t[32])/3 - 
       (8*t[33])/3 + (59*t[34])/3 - 4*t[35] + 4*t[37] - (8*t[38])/3 + 
       (10*t[39])/3 - (23*t[40])/3 - (7*t[41])/6 + (7*t[42])/6 + t[43]/3 - 
       (2*t[44])/3 - (25*t[45])/6 - t[46] - 22*t[47] + (13*t[48])/3 + 
       (35*t[49])/3 + 2*t[50] - (31*t[51])/4 + 7*t[52] - (35*t[53])/3 + 
       3*t[54] - t[58] + t[59] + (64*t[60])/3 - (40*t[61])/3 + 
       (547*t[62])/12 + (1195*t[63])/12 - (353*t[64])/4 - (755*t[65])/18 + 
       (731*t[66])/18 + 4*t[74] + (70*t[76])/3 + 6*t[77] - (40*t[78])/3 + 
       (11*t[80])/3 + 8*t[81] - (11*t[82])/2 - 5*t[84] + (56*t[85])/3 - 
       47*t[86] - (136*t[87])/3 - (68*t[88])/3 - 33*t[89] + (10*t[97])/3 + 
       184*t[98] - 184*t[99] - 55*t[100])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - v]^2*(-t[1]/3 + (19*t[2])/3 - (167*t[3])/12 - 23*t[4] + 
       (53*t[5])/6 + (631*t[6])/24 + (15*t[7])/2 + (160*t[8])/3 + 
       (147*t[9])/4 + 25*t[10] - (479*t[11])/24 + (71*t[12])/3 - 
       (251*t[13])/12 + (3251*t[14])/72 - (85*t[15])/27 + 2*t[19] - 2*t[20] + 
       2*t[22] + (22*t[29])/3 - (44*t[30])/3 - (2*t[31])/3 + t[32] + 
       (44*t[34])/3 - 4*t[36] - 2*t[37] - (11*t[38])/3 - t[39]/6 - 
       (35*t[40])/6 + 2*t[41] - 2*t[42] - t[43]/3 - (71*t[44])/6 - 
       (49*t[45])/3 + (41*t[47])/3 + (65*t[48])/24 + (83*t[49])/6 - 
       (141*t[50])/8 - (119*t[51])/12 + (599*t[52])/24 - (59*t[53])/6 + 
       (527*t[54])/24 + t[59]/6 + (241*t[60])/12 - (167*t[61])/4 - 
       (2173*t[62])/24 - (141*t[63])/8 + (1213*t[64])/24 - (1319*t[65])/36 - 
       (217*t[66])/12 - 2*t[69] - 4*t[72] - 2*t[74] - 20*t[75] + 
       (103*t[76])/3 + (13*t[77])/3 - (178*t[78])/3 + 30*t[79] + 14*t[80] - 
       t[81]/3 - (5*t[82])/3 + 17*t[83] - (163*t[84])/12 + (97*t[85])/12 + 
       (182*t[86])/3 - (153*t[87])/4 - (121*t[88])/8 - (413*t[89])/24 - 
       4*t[95] + 6*t[96] + (19*t[97])/3 + 184*t[98] - 184*t[99] - 55*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-41*t[2])/2 - (9*t[3])/2 - (159*t[4])/2 - (139*t[5])/4 + 
       (39*t[6])/2 - 42*t[7] + 96*t[8] - (153*t[9])/4 - (69*t[10])/4 - 
       (81*t[11])/2 + 20*t[12] - (110*t[13])/3 - (1015*t[14])/24 - 
       (467*t[15])/24 + 4*t[19] - 4*t[20] - 4*t[21] - 2*t[22] + 4*t[23] + 
       4*t[24] - 4*t[27] - 8*t[28] + 4*t[29] - 8*t[31] + 4*t[32] - 10*t[33] - 
       2*t[34] + 8*t[35] + 8*t[36] + 2*t[39] + 2*t[40] - t[41] + 3*t[42] + 
       t[43]/2 - 4*t[44] - 4*t[45] + 7*t[46] + 16*t[47] + (25*t[48])/2 - 
       (115*t[49])/4 - (31*t[50])/2 + (61*t[51])/8 + (23*t[52])/2 + 
       (115*t[53])/4 + 47*t[54] - 5*t[59] - (195*t[60])/2 - (59*t[61])/2 - 
       (189*t[62])/4 + (217*t[63])/4 + (1009*t[64])/4 + (298*t[65])/3 + 
       75*t[66] + 6*t[69] + 4*t[72] - 4*t[73] + 2*t[74] - 36*t[75] - 
       8*t[76] - 10*t[77] - 20*t[78] + 12*t[79] + 16*t[80] - 7*t[81] + 
       5*t[82] + 25*t[83] - 7*t[84] - (23*t[85])/2 + 54*t[86] + 
       (179*t[87])/2 + (179*t[88])/4 + (25*t[89])/4 - 160*t[98] + 104*t[99] - 
       50*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (-4*t[1] - (43*t[2])/2 - 19*t[3] + (17*t[4])/2 - (53*t[5])/4 + 
       15*t[6] - (13*t[7])/2 - (7*t[8])/2 + (35*t[9])/4 + (205*t[10])/4 - 
       (105*t[11])/2 - (13*t[12])/2 - (1429*t[13])/36 + (173*t[14])/24 - 
       (323*t[15])/72 - 4*t[20] - 6*t[21] + 6*t[23] + 2*t[24] + 8*t[25] - 
       4*t[26] - 2*t[27] + 6*t[29] + 10*t[30] - 10*t[31] - 4*t[32] - 
       12*t[35] - 4*t[36] + 16*t[37] - 4*t[38] - 3*t[41] + 3*t[42] + t[44] - 
       4*t[45] - t[46] + 4*t[47] + (47*t[48])/2 - (7*t[49])/4 - 
       (29*t[50])/2 + (5*t[51])/8 + (21*t[52])/2 + (7*t[53])/4 + 32*t[54] - 
       4*t[57] + 10*t[59] - (189*t[60])/2 - (227*t[61])/2 + (453*t[62])/4 + 
       (1283*t[63])/4 + (441*t[64])/4 - 43*t[65] + (859*t[66])/3 + 18*t[69] + 
       8*t[70] - 8*t[71] - 28*t[72] - 8*t[73] - 6*t[74] - 48*t[75] - 
       34*t[76] - 4*t[77] + 16*t[79] - 130*t[80] - 11*t[81] + 31*t[82] - 
       73*t[83] - 10*t[84] - (119*t[85])/2 - 208*t[86] + (169*t[87])/2 + 
       (169*t[88])/4 - (37*t[89])/4 - 2*t[97] - 160*t[98] + 104*t[99] - 
       50*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-7*t[1])/3 - (79*t[2])/6 + (227*t[3])/12 - 42*t[4] + (73*t[5])/3 - 
       (431*t[6])/12 - (469*t[7])/12 - (413*t[8])/4 - (347*t[9])/4 + 
       (347*t[10])/12 - (409*t[11])/6 - (185*t[12])/6 - (1847*t[13])/72 - 
       (515*t[14])/8 - (277*t[15])/18 + (2*t[18])/3 - 2*t[19] + 4*t[20] + 
       (2*t[21])/3 - 2*t[22] + (14*t[24])/3 + (16*t[25])/3 - (20*t[26])/3 - 
       (4*t[27])/3 + 16*t[28] - t[29] + 5*t[30] + 4*t[31] - t[32]/6 + 
       6*t[33] - (10*t[34])/3 - 12*t[35] + 8*t[36] + 10*t[37] + 2*t[38] + 
       (31*t[40])/6 + (5*t[41])/3 - (10*t[42])/3 + (79*t[43])/12 + 
       (41*t[44])/6 + (27*t[45])/2 - 7*t[46] - (59*t[47])/3 - (16*t[48])/3 + 
       (5*t[49])/3 - (46*t[50])/3 + (59*t[51])/8 + (22*t[52])/3 - 
       (7*t[53])/6 + (85*t[54])/6 - 2*t[58] - t[59]/3 - 6*t[60] + 
       (19*t[61])/3 + (62*t[62])/3 + (106*t[63])/3 - 17*t[64] - 28*t[65] - 
       (65*t[66])/9 + (8*t[70])/3 - (8*t[71])/3 + (4*t[74])/3 - (8*t[76])/3 + 
       t[77]/3 + (8*t[78])/3 - (16*t[80])/3 + (2*t[81])/3 - (10*t[82])/3 + 
       (4*t[84])/3 - t[85] - (46*t[86])/3 - (5*t[87])/3 - (5*t[88])/6 - 
       (85*t[89])/6 - 16*t[98] + 24*t[99] - 40*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*((11*t[1])/3 - 29*t[2] + 
       (253*t[3])/12 - (69*t[4])/2 + (77*t[5])/3 - (431*t[6])/12 - 
       (163*t[7])/12 - (85*t[8])/12 - (361*t[9])/4 + (37*t[10])/12 - 
       (185*t[11])/6 - (79*t[12])/6 - (827*t[13])/24 - (741*t[14])/8 - 
       (179*t[15])/27 - 2*t[19] - 12*t[20] - 8*t[21] + 8*t[22] + 
       (22*t[23])/3 - 4*t[24] + 4*t[27] - 22*t[28] + t[29] - (2*t[30])/3 - 
       16*t[31] + (31*t[32])/3 - (40*t[33])/3 - (55*t[34])/3 + 16*t[35] + 
       6*t[36] + (28*t[37])/3 + 3*t[38] + (13*t[40])/3 - (13*t[43])/12 + 
       (17*t[44])/2 + (65*t[45])/6 + 5*t[46] + 7*t[47] + (23*t[48])/2 - 
       (5*t[49])/2 - (83*t[50])/6 + (21*t[51])/8 + (13*t[52])/6 + 7*t[53] + 
       (14*t[54])/3 + (7*t[59])/3 - (290*t[60])/3 - (311*t[61])/6 - 
       (101*t[62])/3 - 53*t[63] + (1115*t[64])/6 + (112*t[65])/9 + 
       (208*t[66])/3 + 2*t[69] + (4*t[70])/3 - (4*t[71])/3 - 4*t[72] + 
       (2*t[74])/3 - 24*t[75] - (26*t[76])/3 - (14*t[77])/3 + 3*t[78] + 
       20*t[79] - (64*t[80])/3 - (44*t[81])/3 + 27*t[82] + t[83] - 23*t[84] - 
       (79*t[85])/2 + (110*t[86])/3 + 64*t[87] + (101*t[88])/3 + t[89] - 
       (4*t[95])/3 + (14*t[96])/3 + (13*t[97])/3 - 16*t[98] + 24*t[99] - 
       40*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((-43*t[60])/4 + (119*t[61])/4 - (115*t[62])/12 + 
       (289*t[63])/12 + (211*t[64])/24 + (109*t[65])/18 - (68*t[66])/9 - 
       t[72] + t[73] + t[74] - 7*t[75] - 2*t[76] - (5*t[77])/2 - 6*t[78] - 
       2*t[79] + 2*t[80] - 2*t[81] + 2*t[82] + (7*t[83])/3 + t[84]/12 - 
       (49*t[85])/12 - (19*t[86])/3 + (179*t[87])/12 + (179*t[88])/24 - 
       (215*t[89])/24 - 12*t[98] + 16*t[99] - (79*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (2*t[59] - (43*t[60])/4 + (9*t[61])/4 + (25*t[62])/8 + (31*t[63])/8 + 
       (47*t[64])/8 - (51*t[65])/2 - (11*t[66])/4 - 3*t[69] + 2*t[72] + 
       2*t[73] + t[74] + 2*t[75] - 2*t[79] - 3*t[80] - (11*t[81])/2 + 
       (7*t[82])/2 + (29*t[83])/2 - (19*t[84])/4 - 3*t[85] - 11*t[86] + 
       (29*t[87])/2 + (29*t[88])/4 - (17*t[89])/8 - 12*t[98] + 16*t[99] - 
       (79*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-4*t[1])/3 + (115*t[2])/12 + (1069*t[3])/48 - (63*t[4])/2 + 
       (481*t[5])/12 + (475*t[6])/96 - (221*t[7])/4 + (49*t[8])/3 - 
       (807*t[9])/16 - (9*t[10])/4 - (1739*t[11])/96 + (83*t[12])/12 - 
       (125*t[13])/144 - (5059*t[14])/288 - (2491*t[15])/432 - t[18] - 
       t[20] + t[22] - t[23] - 3*t[24] - (35*t[29])/3 - (65*t[30])/12 + 
       t[31]/3 - (51*t[32])/4 + (51*t[33])/4 + (55*t[34])/6 + 10*t[35] + 
       4*t[37] - (8*t[38])/3 - (5*t[39])/3 - (7*t[40])/3 - t[41] + t[42]/2 + 
       t[43]/6 - (37*t[44])/3 - (40*t[45])/3 + (38*t[47])/3 - 
       (1171*t[48])/96 + (67*t[49])/12 - (1001*t[50])/32 - (115*t[51])/24 + 
       (3515*t[52])/96 - (67*t[53])/12 - (85*t[54])/96 + (29*t[59])/12 - 
       (1571*t[60])/48 - (829*t[61])/16 - (2155*t[62])/96 - (311*t[63])/32 + 
       (14629*t[64])/96 - (3989*t[65])/144 - (77*t[66])/48 + 3*t[69] - 
       2*t[70] + 3*t[71] - 4*t[72] + 2*t[73] + 3*t[74] - 12*t[75] + 
       (28*t[76])/3 + (17*t[77])/6 - (73*t[78])/3 + 12*t[79] + 13*t[80] + 
       (11*t[81])/3 + (35*t[82])/6 + (47*t[83])/2 - (1297*t[84])/48 - 
       (461*t[85])/48 + (245*t[86])/3 + (269*t[87])/16 + (269*t[88])/32 - 
       (4217*t[89])/96 + (4*t[97])/3 + 106*t[98] - 118*t[99] - 31*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((-4*t[1])/3 + (95*t[2])/12 - (101*t[3])/48 + (485*t[4])/24 - 
       (1421*t[5])/32 - (27*t[6])/8 + (2491*t[7])/48 - (1375*t[8])/48 + 
       (8027*t[9])/96 - (381*t[10])/16 - (73*t[11])/48 + (715*t[12])/96 - 
       (6485*t[13])/216 + (3481*t[14])/96 - (13709*t[15])/576 + 3*t[18] + 
       3*t[20] + t[21] - (9*t[22])/2 + (4*t[27])/3 + (16*t[28])/3 - t[29]/3 - 
       (20*t[30])/3 + (17*t[32])/3 - (8*t[33])/3 + (32*t[34])/3 + 4*t[35] - 
       (8*t[38])/3 + (16*t[39])/3 - (20*t[40])/3 - (29*t[41])/12 + 
       (59*t[42])/12 + (11*t[43])/24 + t[44]/3 - (95*t[45])/12 + 
       (11*t[47])/2 - (49*t[48])/24 + (11*t[49])/12 + (49*t[50])/8 - 
       (25*t[51])/8 + (15*t[52])/8 - (11*t[53])/12 + (19*t[54])/8 - 
       (9*t[59])/4 + (421*t[60])/12 + (1049*t[61])/12 - (1555*t[62])/24 + 
       (683*t[63])/24 - (867*t[64])/8 + (217*t[65])/72 - (2701*t[66])/72 + 
       3*t[69] - 2*t[70] + 3*t[71] + t[73] + t[74] - t[75] + (40*t[76])/3 + 
       (3*t[77])/2 - (34*t[78])/3 - 10*t[79] - (100*t[80])/3 + 3*t[81] + 
       4*t[82] + (7*t[83])/2 - (9*t[84])/4 + (137*t[85])/12 - 19*t[86] - 
       (271*t[87])/12 - (271*t[88])/24 - (97*t[89])/8 + (4*t[97])/3 + 
       106*t[98] - 118*t[99] - 31*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*((-7*t[1])/12 - (223*t[2])/24 - 
       (365*t[3])/48 - (25*t[4])/4 - (263*t[5])/48 + (74*t[6])/3 - 
       (89*t[7])/2 + (755*t[8])/24 - (359*t[9])/16 + (37*t[10])/4 - 
       (142*t[11])/3 - (529*t[12])/48 - (1745*t[13])/144 - (1001*t[14])/144 + 
       (2099*t[15])/432 + 2*t[20] - 2*t[24] + 10*t[28] - (107*t[29])/12 - 
       (113*t[30])/12 + (7*t[31])/3 + t[32] + (27*t[33])/4 - (22*t[34])/3 + 
       2*t[35] - 3*t[36] + (5*t[38])/6 + (25*t[39])/12 - (25*t[40])/12 - 
       (3*t[41])/4 + (3*t[42])/4 - (10*t[43])/3 - (4*t[44])/3 + 
       (41*t[45])/3 + t[46] - (107*t[47])/6 + (89*t[48])/6 - (20*t[49])/3 - 
       (27*t[50])/8 + (61*t[51])/12 + (137*t[52])/24 + (13*t[53])/6 + 
       (67*t[54])/3 + (47*t[59])/12 + (329*t[60])/6 - (105*t[61])/8 + 
       (299*t[62])/6 - (31*t[63])/4 - (4177*t[64])/48 + (3071*t[65])/72 + 
       (1051*t[66])/24 + t[70] - t[71] + 7*t[72] - 4*t[73] + (5*t[74])/2 - 
       2*t[75] - (317*t[76])/12 + t[77]/3 + (347*t[78])/12 + t[79] - 
       26*t[80] + (65*t[81])/12 - (83*t[82])/12 - t[83] + (673*t[84])/24 + 
       t[85]/3 - (79*t[86])/3 - (157*t[87])/8 + (27*t[88])/16 + 
       (331*t[89])/24 - 4*t[95] - 16*t[96] - (14*t[97])/3 - 212*t[98] + 
       224*t[99] - (27*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*((7*t[1])/6 + (73*t[2])/6 + (89*t[3])/24 + 
       (377*t[4])/24 - (125*t[5])/8 + (101*t[6])/8 - (337*t[7])/24 + 
       (149*t[8])/12 - (139*t[9])/24 + (25*t[10])/8 - (655*t[11])/48 - 
       (5*t[12])/6 - (16019*t[13])/864 - (169*t[14])/48 - (17*t[15])/3 - 
       t[18] + 2*t[20] - t[21] - t[23] - 3*t[24] + 3*t[25] + (11*t[26])/4 - 
       (8*t[27])/3 + (16*t[28])/3 + (8*t[29])/3 - (11*t[30])/3 - 4*t[31] + 
       (13*t[32])/6 - t[33]/6 - (40*t[34])/3 + 4*t[35] - (8*t[38])/3 + 
       (17*t[39])/6 - (5*t[40])/3 + (29*t[41])/6 - (16*t[42])/3 - 
       (23*t[43])/12 - (20*t[44])/3 + (275*t[45])/24 - (17*t[46])/4 - 
       (83*t[47])/4 + (793*t[48])/48 - (77*t[49])/24 + (27*t[50])/16 + 
       (13*t[51])/4 + (109*t[52])/16 + (77*t[53])/24 + (37*t[54])/16 + 
       (3*t[58])/4 + (29*t[59])/4 - (547*t[60])/24 + (71*t[61])/4 - 
       (15*t[62])/8 + (461*t[63])/24 - 14*t[64] - (1115*t[65])/24 + 
       (997*t[66])/24 + t[69] + 3*t[70] - 3*t[71] + t[72] - 5*t[73] + 
       2*t[74] + 5*t[75] - (407*t[76])/12 - (11*t[77])/2 + (281*t[78])/12 + 
       5*t[79] - (215*t[80])/6 - 9*t[81] - (13*t[82])/2 - (11*t[83])/3 + 
       (175*t[84])/24 - (225*t[85])/8 - (211*t[86])/12 + (779*t[87])/24 + 
       (779*t[88])/48 + (33*t[89])/16 - (8*t[97])/3 - 212*t[98] + 224*t[99] - 
       (27*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      ((5*t[60])/6 + (56*t[61])/3 - (31*t[62])/3 - (64*t[63])/3 + t[64]/12 - 
       (63*t[65])/2 - (835*t[66])/36 + (5*t[69])/3 - t[70]/3 + t[71]/3 + 
       (8*t[72])/3 - (2*t[73])/3 - 9*t[75] - t[76] - 4*t[78] + (5*t[79])/3 - 
       (4*t[80])/3 - (4*t[81])/3 - (4*t[82])/3 + (32*t[83])/3 - 
       (55*t[84])/12 - (3*t[85])/4 + (8*t[86])/3 + (9*t[87])/4 + 
       (9*t[88])/8 - (19*t[89])/3 - (14*t[98])/3 + 6*t[99] - (23*t[100])/2)*
      \[Zeta][3] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      ((-67*t[60])/12 + (3*t[61])/4 - (91*t[62])/8 - (19*t[63])/24 + 
       (239*t[64])/24 - (161*t[65])/18 - (70*t[66])/9 - (10*t[72])/3 + 
       t[73]/3 - (43*t[75])/3 - (2*t[76])/3 - 7*t[78] - (5*t[81])/6 - 
       (11*t[82])/6 + 20*t[83] - (10*t[84])/3 + (7*t[85])/4 + (83*t[87])/12 + 
       (83*t[88])/24 + (101*t[89])/24 - (14*t[98])/3 + 6*t[99] - 
       (23*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      (t[59]/4 + (27*t[60])/8 + (29*t[61])/24 - (181*t[62])/48 - 
       (205*t[63])/16 + (187*t[64])/16 + (181*t[65])/36 - (725*t[66])/72 - 
       (3*t[69])/2 + (7*t[74])/2 + (7*t[79])/4 + 2*t[80] + (5*t[81])/4 - 
       (5*t[82])/4 - (11*t[83])/12 + (13*t[84])/24 + (7*t[85])/3 + 
       (137*t[86])/12 - (13*t[87])/12 - (13*t[88])/24 + (25*t[89])/16 - 
       (35*t[100])/4)*\[Zeta][3] + HPL[{1}, 1 - v]^4*
      ((-3*t[60])/4 - (5*t[61])/8 - (81*t[62])/16 - (75*t[63])/16 + 
       (109*t[64])/24 + (305*t[65])/72 - (35*t[66])/72 - (2*t[69])/3 + 
       t[70]/3 - t[71]/4 + (7*t[79])/4 - t[80]/3 + (7*t[83])/6 + 
       (2*t[84])/3 - (2*t[85])/3 + (22*t[86])/3 + t[87]/3 + t[88]/6 + 
       (11*t[89])/12 - (3*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*(-50*t[98] + 46*t[99] - 
       (3*t[100])/2)*\[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((5*t[59])/4 - 35*t[60] - (169*t[61])/6 + (53*t[62])/3 + (57*t[63])/2 + 
       (201*t[64])/4 - (425*t[65])/36 + (464*t[66])/9 - 2*t[69] + 3*t[70] - 
       3*t[71] - 4*t[72] - 3*t[73] - 5*t[75] - (19*t[76])/2 - 2*t[77] + 
       (11*t[79])/2 - (37*t[80])/2 - 5*t[81] - t[82]/2 - (61*t[83])/6 - 
       (37*t[84])/12 - (35*t[85])/12 - (77*t[86])/6 + (311*t[87])/12 + 
       (311*t[88])/24 + (15*t[89])/4 - t[97]/2 - 50*t[98] + 46*t[99] - 
       (3*t[100])/2)*\[Zeta][3] - (3*HPL[{1}, 1 - u]^4*t[100]*\[Zeta][3])/2 + 
     (7*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*t[100]*\[Zeta][3])/2 - 
     (35*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*t[100]*\[Zeta][3])/4 + 
     2*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*t[100]*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*(t[59]/6 + (11*t[60])/6 + 
       (9*t[61])/2 + 7*t[62] + (47*t[63])/6 - (73*t[64])/6 - (5*t[65])/2 + 
       (61*t[66])/18 + (5*t[74])/3 - (7*t[79])/2 + (4*t[80])/3 + t[81]/3 - 
       t[82]/3 + (2*t[83])/3 - t[84]/3 + (3*t[85])/2 - (35*t[86])/2 - 
       (5*t[87])/6 - (5*t[88])/12 + (13*t[89])/12 + 2*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*((13*t[60])/2 + t[61] + (65*t[62])/6 + 
       (47*t[63])/6 - (179*t[64])/6 - 2*t[65] + (65*t[66])/12 + (5*t[69])/3 - 
       t[70]/3 + t[71]/3 - (7*t[79])/2 - (5*t[80])/3 - 2*t[81] + 2*t[82] + 
       t[83] + t[84]/12 - t[85]/12 - (33*t[86])/2 - (23*t[87])/4 - 
       (23*t[88])/8 - (13*t[89])/3 + (7*t[100])/2)*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (-3*t[59] - (187*t[60])/12 - (21*t[61])/4 + (29*t[62])/2 - 
       (95*t[63])/3 + (23*t[64])/24 - (299*t[65])/18 - (323*t[66])/36 + 
       (8*t[72])/3 - t[73] + t[74] - 14*t[75] + t[76] - 10*t[78] - 3*t[79] - 
       (7*t[81])/3 + (5*t[82])/3 + (50*t[83])/3 - (23*t[84])/3 + 
       (29*t[85])/6 - 12*t[86] + (73*t[87])/6 + (73*t[88])/12 - 
       (73*t[89])/24 + 28*t[98] - 36*t[99] + 11*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*((3*t[60])/2 - (14*t[61])/3 + 
       (131*t[62])/12 - (73*t[63])/4 - (173*t[64])/4 - (293*t[65])/36 - 
       (22*t[66])/9 - (5*t[69])/2 - (3*t[72])/2 + (5*t[73])/2 + 
       (11*t[75])/2 + t[76] + (3*t[77])/2 + 2*t[78] - t[79]/2 - 2*t[80] - 
       t[81]/2 + 2*t[82] + t[83]/12 - (7*t[84])/12 - (13*t[85])/6 - 
       (4*t[86])/3 - (16*t[87])/3 - (8*t[88])/3 - (5*t[89])/2 - 4*t[98] + 
       16*t[99] + 25*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*((-11*t[1])/6 + (5*t[2])/6 - (221*t[3])/48 - 
       18*t[4] + (109*t[5])/12 + (685*t[6])/96 + (35*t[7])/4 + t[8]/12 + 
       (235*t[9])/16 + (9*t[10])/2 - (461*t[11])/96 + (47*t[12])/3 - 
       (1967*t[13])/144 + (4763*t[14])/288 + (2237*t[15])/432 - 
       (11*t[29])/12 - (43*t[30])/6 + (4*t[31])/3 - t[32] + t[33] + 
       (49*t[34])/6 - t[36] + t[37] - (8*t[38])/3 - (23*t[39])/12 - 
       (25*t[40])/12 + (2*t[43])/3 - (5*t[44])/6 - (28*t[45])/3 + 
       (20*t[47])/3 - (229*t[48])/96 + (43*t[49])/12 + t[50]/32 - 
       (91*t[51])/24 + (509*t[52])/96 - (43*t[53])/12 + (245*t[54])/96 - 
       (17*t[59])/6 - (1589*t[60])/48 - (3989*t[61])/48 - (991*t[62])/32 - 
       (201*t[63])/32 + (7675*t[64])/96 + (3221*t[65])/144 + 
       (8675*t[66])/144 + 2*t[69] - 5*t[72] - t[73] - 2*t[74] - 19*t[75] + 
       (65*t[76])/6 + t[77]/3 - (79*t[78])/3 + (37*t[79])/2 - (7*t[80])/2 - 
       (22*t[81])/3 + (19*t[82])/3 + (31*t[83])/3 - (935*t[84])/48 + 
       (365*t[85])/48 + (293*t[86])/6 + (245*t[87])/48 + (245*t[88])/96 - 
       (863*t[89])/96 + (5*t[97])/6 + 56*t[98] - 60*t[99] + 50*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      ((-4*t[1])/3 + (65*t[2])/12 - (215*t[3])/48 - (61*t[4])/24 - 
       (567*t[5])/32 + (33*t[6])/4 + (1237*t[7])/48 - (97*t[8])/48 + 
       (3509*t[9])/96 - (199*t[10])/16 - (25*t[11])/48 + (625*t[12])/96 - 
       (613*t[13])/108 + (2419*t[14])/96 - (3551*t[15])/576 - t[22]/2 - 
       (8*t[27])/3 - (8*t[28])/3 + (8*t[29])/3 + t[30]/3 + (5*t[32])/3 - 
       (8*t[33])/3 + (32*t[34])/3 - (8*t[38])/3 + (4*t[39])/3 - 
       (20*t[40])/3 + (7*t[41])/12 - (7*t[42])/12 + (11*t[43])/24 + t[44]/3 - 
       (47*t[45])/12 - t[46]/2 - (3*t[47])/2 + t[48]/3 + (41*t[49])/12 + 
       4*t[50] - 3*t[51] + 4*t[52] - (41*t[53])/12 + 4*t[54] + (5*t[59])/4 + 
       (31*t[60])/3 + (83*t[61])/3 - (239*t[62])/12 + (118*t[63])/3 - 
       8*t[64] - (671*t[65])/72 - (1153*t[66])/72 + (28*t[76])/3 + 
       (9*t[77])/2 - (16*t[78])/3 + (26*t[80])/3 + 4*t[81] - 4*t[82] - 
       2*t[84] + (26*t[85])/3 + 6*t[86] - (58*t[87])/3 - (29*t[88])/3 - 
       (27*t[89])/2 + (4*t[97])/3 + 56*t[98] - 60*t[99] + 50*t[100])*
      \[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - u]*((9*t[2])/2 - (7*t[3])/2 - 
       (57*t[4])/2 + (19*t[5])/2 + (157*t[6])/4 + 65*t[7] - 48*t[8] + 
       (47*t[9])/2 + (73*t[10])/4 - (59*t[11])/4 + (9*t[12])/4 + 
       (13*t[13])/36 + (391*t[14])/24 + (167*t[15])/12 + 30*t[28] + 6*t[31] - 
       12*t[35] + 10*t[36] + 10*t[39] - 8*t[40] - 5*t[43] + 16*t[44] + 
       5*t[45] + 3*t[46] - 10*t[47] - (47*t[48])/4 - (17*t[49])/4 + 
       (81*t[50])/4 + (43*t[51])/8 - (81*t[52])/4 + (17*t[53])/4 - 
       (91*t[54])/4 + 6*t[60] + 70*t[61] - (111*t[62])/2 - (49*t[63])/2 + 
       (11*t[64])/2 + (118*t[65])/3 + 22*t[66] + 14*t[80] + 18*t[86] + 
       10*t[89] - 216*t[98] + 216*t[99] + 90*t[100])*\[Zeta][3] + 
     HPL[{0, 1, 1, 1}, 1 - v]*(-20*t[1] + (9*t[2])/2 - 29*t[3] - 
       (89*t[4])/2 + (173*t[5])/4 - 35*t[6] + (103*t[7])/2 - (33*t[8])/2 - 
       (187*t[9])/4 - (311*t[10])/4 + (31*t[11])/2 + 6*t[12] + 
       (557*t[13])/18 - (257*t[14])/8 + (37*t[15])/24 + 16*t[25] - 10*t[26] - 
       6*t[27] - 12*t[28] + 4*t[30] - 4*t[31] + 24*t[34] + 20*t[35] + 
       6*t[36] + 6*t[37] - 6*t[38] - 12*t[39] + 6*t[40] + 11*t[43] + 
       12*t[44] - 12*t[45] - 17*t[46] + 24*t[47] - 6*t[48] + (113*t[49])/4 + 
       55*t[50] + (13*t[51])/8 - 55*t[52] - (113*t[53])/4 - (57*t[54])/2 + 
       (51*t[59])/2 - 145*t[60] - 60*t[61] + (25*t[62])/4 - (137*t[63])/4 + 
       304*t[64] + 98*t[65] + (1363*t[66])/6 - 24*t[72] + 4*t[73] + 
       12*t[74] - 68*t[75] - 59*t[76] - 9*t[77] + 38*t[78] + 22*t[79] - 
       t[80] - 17*t[82] + 116*t[83] + (11*t[84])/2 - (141*t[85])/2 + 
       250*t[86] + (303*t[87])/2 + (303*t[88])/4 - (113*t[89])/2 - 3*t[97] - 
       216*t[98] + 216*t[99] + 90*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((15*t[1])/2 + (13*t[2])/2 + (363*t[3])/8 - 57*t[4] + (605*t[5])/16 + 
       (163*t[6])/8 - (185*t[7])/4 + 24*t[8] - (1135*t[9])/16 + 
       (305*t[10])/8 - (63*t[11])/8 - (499*t[12])/16 - (4055*t[13])/144 - 
       (121*t[14])/3 - (325*t[15])/288 - 6*t[18] + 2*t[19] - 4*t[20] - 
       2*t[21] - 20*t[23] + 6*t[24] - 4*t[25] - t[26] - 2*t[27] + 2*t[30] + 
       8*t[31] - 6*t[32] + 2*t[33] - 11*t[34] + 5*t[38] - 2*t[39] + 5*t[40] - 
       2*t[41] + 5*t[42] + (5*t[43])/8 + 2*t[44] + 20*t[45] + (21*t[46])/2 - 
       13*t[47] + (19*t[48])/2 - (57*t[49])/8 - (69*t[50])/2 - 
       (97*t[51])/16 + 36*t[52] + (57*t[53])/8 + (115*t[54])/4 + 2*t[57] - 
       t[58] - (13*t[59])/2 - (247*t[60])/4 - 8*t[61] - (253*t[62])/3 + 
       (83*t[63])/6 + (457*t[64])/6 + (620*t[65])/9 + (814*t[66])/9 - 
       4*t[69] + 4*t[73] - 2*t[74] - 4*t[75] - (17*t[76])/2 - 11*t[77] + 
       (3*t[78])/2 + 2*t[79] - 24*t[80] - 6*t[81] + t[82]/2 - (8*t[83])/3 - 
       (125*t[84])/12 + (65*t[85])/12 + (115*t[86])/6 + (467*t[87])/12 + 
       (467*t[88])/24 - (23*t[89])/24 - t[97] - 48*t[98] + 48*t[99] + 
       112*t[100])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((5*t[1])/2 + (39*t[2])/4 + (99*t[3])/4 - 
       (155*t[4])/4 + 58*t[5] - (905*t[6])/16 - (167*t[7])/4 - (59*t[8])/2 - 
       (599*t[9])/8 + (9*t[10])/8 + (189*t[11])/16 + (87*t[12])/8 - 
       (251*t[13])/12 - (635*t[14])/8 - (397*t[15])/48 + 2*t[19] - 10*t[20] - 
       2*t[21] + 2*t[23] + 4*t[24] - 2*t[27] - 10*t[28] + 9*t[29] + 5*t[30] - 
       8*t[31] + 3*t[32] - 15*t[33] + 7*t[34] - 12*t[35] + 2*t[36] - 
       2*t[37] + 2*t[38] + t[40] + t[41] - t[42] + t[43] - (7*t[44])/4 + 
       (23*t[45])/2 - t[46] - (13*t[47])/2 - (71*t[48])/16 - (95*t[49])/8 - 
       (131*t[50])/16 + (107*t[51])/16 - (45*t[52])/16 + (87*t[53])/8 - 
       (485*t[54])/16 - (21*t[59])/2 - (1009*t[60])/8 - (869*t[61])/8 - 
       (1415*t[62])/16 + (423*t[63])/16 + (3391*t[64])/16 - (355*t[65])/8 + 
       (383*t[66])/8 + 2*t[70] - 2*t[71] - 2*t[72] + 6*t[73] - 9*t[74] - 
       10*t[75] - 9*t[76] - 3*t[77] - 12*t[78] + 16*t[79] - 8*t[80] - 
       (41*t[81])/2 + 16*t[82] + 12*t[83] - (457*t[84])/8 - (347*t[85])/8 + 
       46*t[86] + (1071*t[87])/8 + (975*t[88])/16 - (587*t[89])/16 + 
       8*t[95] + 2*t[97] - 48*t[98] + 48*t[99] + 112*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*(4*t[1] - 6*t[2] - 6*t[3] - 
       94*t[4] + t[5] - (33*t[6])/2 + 83*t[7] + 74*t[8] + (223*t[9])/2 + 
       (117*t[10])/2 + 59*t[11] + 53*t[12] + (1747*t[13])/36 + 
       (133*t[14])/6 - (1235*t[15])/36 - 2*t[19] + 4*t[20] + 6*t[21] - 
       4*t[23] + 6*t[24] - 8*t[25] - 2*t[26] + 8*t[27] - 4*t[29] - 2*t[30] + 
       6*t[31] + 4*t[33] + 34*t[34] + 8*t[38] - 4*t[39] - 2*t[40] - 
       20*t[41] + 8*t[42] - 27*t[43] + 8*t[44] - 10*t[45] + 3*t[46] + 
       58*t[47] - (63*t[48])/2 - t[49]/2 - (13*t[50])/2 - 5*t[51] + t[52]/2 + 
       t[53]/2 - (9*t[54])/2 + 8*t[57] - 2*t[58] - 26*t[59] + 51*t[60] + 
       25*t[61] - (525*t[62])/2 - (247*t[63])/2 + 56*t[64] + (785*t[65])/3 - 
       (505*t[66])/3 - 12*t[70] + 12*t[71] - 4*t[72] + 16*t[73] - 12*t[74] - 
       16*t[75] + 70*t[76] + 4*t[77] - 52*t[78] + 8*t[79] + 64*t[80] + 
       20*t[81] + 2*t[82] + 2*t[83] - 14*t[84] + 63*t[85] + 168*t[86] - 
       61*t[87] - (61*t[88])/2 + 16*t[89] + 4*t[97] + 432*t[98] - 456*t[99] + 
       114*t[100])*\[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((23*t[2])/2 + 57*t[3] + 10*t[4] + (121*t[5])/2 - (169*t[6])/2 - 
       (5*t[7])/2 - (293*t[8])/2 - 15*t[9] + 17*t[10] + (101*t[11])/2 + 
       (15*t[12])/2 + (1153*t[13])/36 - (277*t[14])/4 - (221*t[15])/18 - 
       2*t[18] - 2*t[19] - 12*t[20] + 6*t[22] - 4*t[23] - 4*t[24] + 4*t[28] + 
       20*t[29] + 30*t[30] - 23*t[32] - 4*t[33] + 4*t[34] - 4*t[35] + 
       10*t[37] - 2*t[38] - 2*t[39] + t[40] - 3*t[41] + 2*t[42] + 4*t[43] + 
       2*t[44] - 30*t[45] + 36*t[47] - 19*t[48] + (43*t[49])/2 + 2*t[50] - 
       (51*t[51])/4 - 2*t[52] - (27*t[53])/2 - 81*t[54] - 7*t[59] - 
       164*t[60] - 147*t[61] + 34*t[62] + 102*t[63] + (239*t[64])/2 + 
       (5*t[65])/6 + (55*t[66])/6 + 2*t[69] - 4*t[70] + 4*t[71] - 24*t[72] + 
       16*t[73] - 6*t[74] - 8*t[75] + 64*t[76] + 10*t[77] - 46*t[78] + 
       4*t[79] + 28*t[80] + 9*t[81] - t[82] - 21*t[83] - (185*t[84])/2 - 
       26*t[85] + 12*t[86] + 18*t[87] - 19*t[88] - (89*t[89])/2 + 24*t[95] + 
       20*t[96] + 6*t[97] + 432*t[98] - 456*t[99] + 114*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*(-100*t[98] + 92*t[99] + 
       133*t[100])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (-5*t[59] - 122*t[60] - 169*t[61] + (29*t[62])/2 + (109*t[63])/2 + 
       201*t[64] + (88*t[65])/3 + (799*t[66])/6 + 2*t[69] - 20*t[72] - 
       2*t[73] - 6*t[75] - 16*t[76] - 4*t[77] - 2*t[78] + 10*t[79] - 
       34*t[80] - 22*t[81] + 6*t[82] - 29*t[83] - (31*t[84])/2 - 
       (77*t[85])/2 + 10*t[86] + (163*t[87])/2 + (163*t[88])/4 + 
       (113*t[89])/2 - 2*t[97] - 100*t[98] + 92*t[99] + 133*t[100])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (3*t[1] - 17*t[2] + 38*t[3] - (143*t[4])/4 + (227*t[5])/8 - 
       (59*t[6])/2 - (27*t[7])/4 - (321*t[8])/4 - (317*t[9])/8 - 
       (197*t[10])/8 - (225*t[11])/4 - (45*t[12])/4 - (725*t[13])/36 - 
       (2555*t[14])/48 + (401*t[15])/48 - 2*t[24] - 8*t[25] + 4*t[26] + 
       2*t[27] - 2*t[28] - (27*t[29])/2 + t[30] + 6*t[31] - (11*t[32])/2 - 
       2*t[33] + 21*t[34] + 8*t[35] - 4*t[36] - 6*t[37] + 4*t[38] - t[39] + 
       t[40] - t[41]/2 + t[42]/2 - 2*t[43] - (81*t[44])/4 - (9*t[45])/2 + 
       3*t[46] + (9*t[47])/2 - (37*t[48])/2 - (45*t[49])/8 + (75*t[50])/2 + 
       (49*t[51])/16 - (75*t[52])/2 + (5*t[53])/8 - (135*t[54])/4 - 
       (13*t[59])/2 - (209*t[60])/4 - 267*t[61] + 143*t[62] + 125*t[63] - 
       (31*t[64])/2 + (443*t[65])/12 + (1371*t[66])/4 + 4*t[69] + 16*t[70] - 
       16*t[71] + 12*t[72] + 4*t[73] + 10*t[74] + 12*t[75] - (55*t[76])/2 + 
       6*t[77] + (71*t[78])/2 + 4*t[79] - 18*t[80] - 21*t[81] + 
       (21*t[82])/2 - 32*t[83] + (79*t[84])/4 + (17*t[85])/4 - 38*t[86] + 
       (67*t[87])/4 + (267*t[88])/8 + (255*t[89])/8 - 16*t[96] - 8*t[97] - 
       104*t[98] + 32*t[99] + 256*t[100])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*(6*t[1] + (33*t[2])/2 - 
       (71*t[3])/4 + (15*t[4])/2 - (127*t[5])/4 + (339*t[6])/8 + 
       (317*t[7])/8 - (201*t[8])/8 + (789*t[9])/8 + (219*t[10])/4 - 
       (157*t[11])/8 + (187*t[12])/8 + (241*t[13])/24 + (917*t[14])/16 - 
       (1405*t[15])/144 + 2*t[20] - t[22] - 4*t[23] + (9*t[26])/2 + 
       12*t[28] + 4*t[30] + 16*t[31] + 5*t[32] - t[33] + 7*t[34] + 4*t[35] - 
       6*t[36] - 4*t[37] - 3*t[38] + 9*t[39] - 13*t[40] + 9*t[41] - 9*t[42] + 
       (19*t[43])/8 - 4*t[44] - (27*t[45])/4 + 2*t[46] + (9*t[47])/2 - 
       (69*t[48])/8 + (17*t[49])/8 + (115*t[50])/8 - (81*t[51])/16 - 
       (23*t[52])/8 - (17*t[53])/8 - (17*t[54])/8 - 2*t[57] + t[58]/2 + 
       6*t[59] + 95*t[60] - (193*t[61])/2 + (197*t[62])/4 + (427*t[63])/4 - 
       (383*t[64])/4 - (67*t[65])/6 - (17*t[66])/6 + 2*t[69] + 4*t[72] + 
       4*t[73] - 2*t[74] + 52*t[75] - t[76] + 14*t[77] + 23*t[78] - 4*t[79] + 
       9*t[81] - 3*t[82] - 81*t[83] + (49*t[84])/2 + 37*t[85] - 63*t[86] - 
       102*t[87] - 51*t[88] + 25*t[89] - 6*t[97] - 104*t[98] + 32*t[99] + 
       256*t[100])*\[Zeta][3] + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((16*t[1])/3 - (27*t[2])/2 + (821*t[3])/12 - (503*t[4])/12 + 
       (391*t[5])/48 - (2299*t[6])/48 + (257*t[7])/24 - (1315*t[8])/8 + 
       (1699*t[9])/48 - (239*t[10])/8 - (2063*t[11])/48 + (853*t[12])/48 - 
       (7841*t[13])/216 - (131*t[14])/36 - (42905*t[15])/864 + 6*t[18] - 
       4*t[19] + 8*t[20] + 4*t[21] - 13*t[22] + 2*t[23] + 8*t[24] - 8*t[25] + 
       3*t[26] - (8*t[27])/3 + (40*t[28])/3 - 9*t[29] - (23*t[30])/6 + 
       (16*t[31])/3 - (55*t[32])/3 + (41*t[33])/6 + (34*t[34])/3 + 8*t[35] - 
       2*t[36] + 6*t[37] + (11*t[38])/3 + (13*t[39])/6 + 2*t[40] + 
       (35*t[41])/6 - (23*t[42])/6 - (29*t[43])/4 - 17*t[44] - 14*t[45] + 
       2*t[46] + (17*t[47])/3 - (973*t[48])/48 + 28*t[49] - (567*t[50])/16 - 
       (49*t[51])/6 + (997*t[52])/48 - (33*t[53])/2 + (181*t[54])/48 - 
       4*t[57] - t[58] + (25*t[59])/6 + (331*t[60])/24 + (343*t[61])/24 - 
       (1909*t[62])/48 + (325*t[63])/48 - (2341*t[64])/48 - (321*t[65])/8 - 
       (10495*t[66])/72 + 2*t[69] - 14*t[70] + 14*t[71] - 4*t[72] - 2*t[73] - 
       6*t[74] + 6*t[75] + (128*t[76])/3 - (14*t[77])/3 - (164*t[78])/3 + 
       20*t[79] - t[80]/3 + (65*t[81])/3 + (35*t[82])/6 + 14*t[83] - 
       (827*t[84])/24 + (63*t[85])/8 + (23*t[86])/3 - (2039*t[87])/24 - 
       (3623*t[88])/48 - (1807*t[89])/48 + 8*t[96] + (5*t[97])/3 + 
       208*t[98] - 168*t[99] - 72*t[100] + 24*t[101])*\[Zeta][3] + 
     HPL[{0, 0, 1, 1}, 1 - v]*((-34*t[1])/3 + (89*t[2])/2 - (841*t[3])/6 - 
       (133*t[4])/2 - (1123*t[5])/12 + (2119*t[6])/12 + (121*t[7])/6 + 
       (703*t[8])/6 + (903*t[9])/4 - (407*t[10])/12 - (1897*t[11])/12 + 
       (91*t[12])/3 - (1567*t[13])/36 + (5045*t[14])/24 + (11081*t[15])/216 + 
       4*t[19] + 16*t[20] + 10*t[21] - 12*t[22] - (26*t[23])/3 + 6*t[24] - 
       6*t[27] + 30*t[28] - (86*t[30])/3 + 24*t[31] + (4*t[32])/3 + 
       (56*t[33])/3 + (170*t[34])/3 - 24*t[35] - 12*t[36] - (32*t[37])/3 - 
       12*t[38] - 2*t[39] - (20*t[40])/3 + t[41] - t[42] + (25*t[43])/6 - 
       47*t[44] - (89*t[45])/3 - 8*t[46] - 2*t[47] + (85*t[48])/4 - 
       (69*t[49])/4 + (611*t[50])/12 + (35*t[51])/8 - (283*t[52])/12 - 
       (7*t[53])/4 + (1391*t[54])/12 - 4*t[57] + (19*t[59])/3 + 
       (526*t[60])/3 - (97*t[61])/3 + (649*t[62])/3 + 260*t[63] - 
       (2749*t[64])/6 + (1811*t[65])/18 + (1619*t[66])/6 - 2*t[69] + 
       (16*t[70])/3 - (16*t[71])/3 + (14*t[74])/3 + 40*t[75] - (98*t[76])/3 + 
       (10*t[77])/3 + 60*t[78] - 28*t[79] + (56*t[80])/3 + (37*t[81])/3 - 
       5*t[82] - 33*t[83] + (123*t[84])/2 + 89*t[85] - (340*t[86])/3 - 
       118*t[87] - (94*t[88])/3 - t[89] - (40*t[95])/3 - (124*t[96])/3 - 
       (32*t[97])/3 - 208*t[98] + 192*t[99] + 152*t[100] + 24*t[101])*
      \[Zeta][3] + HPL[{0, 0, 1, 1}, 1 - u]*((-28*t[1])/3 + (173*t[2])/6 - 
       (319*t[3])/3 - (15*t[4])/2 - (1367*t[5])/12 + (1729*t[6])/12 + 
       (101*t[7])/3 + 279*t[8] + (801*t[9])/4 + (1349*t[10])/12 - 
       (683*t[11])/12 + (311*t[12])/3 - (250*t[13])/9 + (3287*t[14])/24 + 
       (2467*t[15])/72 - (16*t[18])/3 + 4*t[19] - 8*t[20] - (28*t[21])/3 + 
       2*t[22] + 8*t[23] - (40*t[24])/3 - (32*t[25])/3 + (52*t[26])/3 + 
       (8*t[27])/3 - 28*t[28] + 2*t[29] - 6*t[30] - 4*t[31] + (25*t[32])/3 - 
       18*t[33] + (26*t[34])/3 + 20*t[35] - 14*t[36] - 16*t[37] - 6*t[38] + 
       6*t[39] - (73*t[40])/3 + (20*t[41])/3 - (16*t[42])/3 - (31*t[43])/6 - 
       (29*t[44])/3 - 36*t[45] + 22*t[46] + (184*t[47])/3 + (77*t[48])/12 - 
       (421*t[49])/12 + (581*t[50])/12 - (111*t[51])/8 + (115*t[52])/12 + 
       (385*t[53])/12 - (31*t[54])/12 + (5*t[59])/3 - 86*t[60] - 
       (482*t[61])/3 + (541*t[62])/6 - (205*t[63])/6 - 32*t[64] - 94*t[65] + 
       (1948*t[66])/9 + (32*t[70])/3 - (32*t[71])/3 + (40*t[74])/3 - 
       (110*t[76])/3 - (14*t[77])/3 + (62*t[78])/3 - (52*t[80])/3 - 
       (64*t[81])/3 + (2*t[82])/3 - (80*t[84])/3 - 34*t[85] + (26*t[86])/3 + 
       (238*t[87])/3 + (119*t[88])/3 - (205*t[89])/6 + 2*t[97] - 208*t[98] + 
       192*t[99] + 152*t[100] + 24*t[101])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]*(8*t[1] - t[2] - (219*t[3])/4 + (9*t[4])/2 + 
       (63*t[5])/2 + 8*t[6] + (99*t[7])/2 + (89*t[8])/2 - (155*t[9])/2 - 
       20*t[10] + (165*t[11])/2 - (53*t[12])/2 + (2147*t[13])/36 - 
       (1111*t[14])/24 + (1627*t[15])/24 - 4*t[16] - 3*t[17] + 40*t[20] - 
       4*t[23] + 14*t[24] - 14*t[25] + 10*t[26] - 2*t[27] - 48*t[28] - 
       19*t[29] + 2*t[30] + 8*t[31] + 17*t[32] + 10*t[33] + 12*t[34] + 
       16*t[35] - 16*t[36] - 4*t[37] + 8*t[38] - 18*t[39] + 10*t[40] - 
       8*t[41] + 8*t[42] - 5*t[43] + (15*t[44])/2 + 4*t[45] - 4*t[46] - 
       8*t[47] - (81*t[48])/2 + (73*t[49])/2 + (139*t[50])/2 - (63*t[51])/8 - 
       (75*t[52])/2 - (19*t[53])/2 - (57*t[54])/2 - 2*t[55] - 12*t[59] + 
       10*t[60] - 57*t[61] - t[62] - 77*t[63] - (49*t[64])/2 + 12*t[65] + 
       (86*t[66])/3 - 2*t[67] - 2*t[68] - 4*t[74] - 2*t[77] - 8*t[80] - 
       4*t[82] + 2*t[84] - 8*t[85] - 4*t[86] + 4*t[87] + 2*t[88] + 
       (27*t[89])/2 + 2*t[90] + 4*t[94])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{0, 1}, 1 - v]*(-8*t[1] + 42*t[2] - 113*t[3] + (325*t[4])/2 - 
       (87*t[5])/2 + (341*t[6])/4 - (53*t[7])/4 - (225*t[8])/4 + 
       (349*t[9])/4 - (249*t[10])/4 + 109*t[11] - 43*t[12] + 
       (8573*t[13])/72 + (3037*t[14])/24 + (989*t[15])/72 - 4*t[18] + 
       32*t[20] - 4*t[21] - 16*t[22] + 8*t[23] - 6*t[24] - 12*t[25] + 
       12*t[26] + 24*t[28] + 40*t[31] + 16*t[32] - 22*t[33] + 22*t[34] - 
       4*t[36] - 4*t[37] - 2*t[38] + 12*t[39] + 6*t[40] - 2*t[42] + 
       (43*t[43])/4 - 2*t[44] + (5*t[45])/2 - 8*t[46] - 13*t[47] - 24*t[48] + 
       (81*t[49])/2 - 22*t[50] - (119*t[51])/8 - 4*t[52] - (59*t[53])/2 - 
       (61*t[54])/2 - 2*t[56] + 8*t[57] - 6*t[59] + 483*t[60] + 
       (247*t[61])/2 + (1091*t[62])/4 + (399*t[63])/4 - (2149*t[64])/4 - 
       (419*t[65])/2 - (1751*t[66])/6 + 6*t[67] - 8*t[68] + 4*t[70] - 
       4*t[71] + 24*t[72] - 8*t[73] + 8*t[74] + 112*t[75] - 8*t[76] + 
       16*t[77] + 106*t[78] - 104*t[79] + 4*t[80] + 36*t[81] - 64*t[82] - 
       196*t[83] + (193*t[84])/2 + (251*t[85])/2 - 386*t[86] - 
       (609*t[87])/2 - (613*t[88])/4 + 89*t[89] + 2*t[90] + 2*t[92] + 
       4*t[93] - 4*t[94] + 8*t[95] + 4*t[96] - 6*t[97])*\[Zeta][2]*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*(3*t[59] + 114*t[60] - 
       (393*t[61])/2 - (69*t[62])/4 + (575*t[63])/4 + (161*t[64])/4 + 
       (227*t[65])/2 + (29*t[66])/6 - 4*t[70] + 4*t[71] + 24*t[72] + 
       8*t[73] - 4*t[74] + 112*t[75] + 54*t[78] - 4*t[80] + 26*t[81] - 
       10*t[82] - 196*t[83] - (5*t[84])/2 - (9*t[85])/2 - (133*t[87])/2 - 
       (173*t[88])/4 + 29*t[89] + 4*t[93] - 8*t[95] - 2*t[97] - 64*t[100])*
      \[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - u]^2*(-12*t[98] + 12*t[99] - 
       50*t[100])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - v]^2*
      ((5*t[59])/2 + 83*t[60] + (441*t[61])/4 + (313*t[62])/8 + 
       (117*t[63])/8 - (1033*t[64])/8 - (419*t[65])/12 - (641*t[66])/12 - 
       3*t[68] + 2*t[70] - 2*t[71] + 20*t[72] - 2*t[74] - 2*t[76] + t[78] - 
       24*t[79] - 4*t[80] + 6*t[81] - 8*t[82] - 10*t[83] + 19*t[84] + 
       (45*t[85])/2 - (169*t[86])/2 - (91*t[87])/2 - (91*t[88])/4 + 
       (9*t[89])/2 + t[90] - t[92]/2 + 2*t[93] - 12*t[98] + 12*t[99] - 
       50*t[100])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      (24*t[98] - 24*t[99] + 100*t[100])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(t[59] - 158*t[60] - (343*t[61])/2 - 
       (281*t[62])/4 - (461*t[63])/4 + (907*t[64])/4 + (395*t[65])/6 + 
       (203*t[66])/2 - 2*t[67] + 4*t[68] - 4*t[70] + 4*t[71] - 40*t[72] + 
       4*t[76] - 2*t[78] + 48*t[79] + 8*t[80] - 12*t[81] + 16*t[82] + 
       20*t[83] - 44*t[84] - 49*t[85] + 169*t[86] + 99*t[87] + (99*t[88])/2 - 
       (55*t[89])/2 + t[92] - 4*t[93] + 24*t[98] - 24*t[99] + 100*t[100])*
      \[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - v]*(-4*t[59] - (21*t[60])/2 + 
       61*t[61] + (243*t[62])/4 + (193*t[63])/4 - (193*t[64])/2 + 
       (134*t[65])/3 + (176*t[66])/3 + 2*t[67] + 2*t[68] + 4*t[74] + 
       32*t[76] + 48*t[78] - 7*t[81] - t[82] + 28*t[84] - (15*t[85])/2 - 
       (49*t[87])/2 - (49*t[88])/4 - (51*t[89])/2 - 2*t[90])*\[Zeta][3]^2 + 
     HPL[{0, 1}, 1 - u]*((7*t[1])/2 - (75*t[2])/4 - (395*t[3])/8 - 126*t[4] - 
       (273*t[5])/2 + (1313*t[6])/8 + (19*t[7])/4 + (829*t[8])/4 + 
       (1021*t[9])/4 + (671*t[10])/8 - (2363*t[11])/8 + (23*t[12])/8 - 
       (15893*t[13])/72 + (3313*t[14])/12 - (13057*t[15])/144 + 2*t[16] + 
       (3*t[17])/2 + 8*t[19] - 16*t[20] + 6*t[23] - 2*t[24] - 2*t[25] + 
       t[26] + 2*t[27] + 124*t[28] + (89*t[29])/2 - 47*t[30] + 20*t[31] + 
       (35*t[32])/2 + 7*t[33] - 18*t[34] + 3*t[36] + 11*t[38] + 56*t[39] - 
       50*t[40] + (53*t[41])/2 - (37*t[42])/2 - (5*t[43])/2 - (181*t[44])/4 + 
       t[45] + 3*t[46] - t[47] + (1139*t[48])/8 - (133*t[49])/8 - 
       (973*t[50])/8 - (5*t[51])/2 + (957*t[52])/8 + (49*t[53])/8 + 
       (1095*t[54])/8 + t[55] + 25*t[59] + 107*t[60] + (449*t[61])/2 - 
       91*t[62] - 64*t[63] - (233*t[64])/4 + (70*t[65])/3 - (143*t[66])/3 + 
       t[67] + t[68] + 8*t[71] + 2*t[74] - t[77] + 3*t[84] - 2*t[85] - 
       4*t[87] - 2*t[88] + (225*t[89])/4 - t[90] - 2*t[94])*\[Zeta][5] + 
     HPL[{0, 1}, 1 - v]*(-12*t[1] - (231*t[2])/2 + (295*t[3])/2 - 378*t[4] + 
       (433*t[5])/8 - (799*t[6])/8 - (753*t[7])/8 + (63*t[8])/8 - 
       (1023*t[9])/4 + (603*t[10])/4 - 467*t[11] + 31*t[12] - 
       (45271*t[13])/144 - (2257*t[14])/8 - (41*t[15])/2 - 10*t[18] + 
       8*t[19] - 32*t[20] - 2*t[21] + 16*t[22] + 4*t[23] - 2*t[24] + t[25] - 
       t[26] - 3*t[27] - 4*t[28] - 88*t[31] - 46*t[32] + 64*t[33] - 7*t[34] - 
       t[36] + t[37] - t[38] - 6*t[39] + 4*t[40] + (7*t[41])/2 - 
       (17*t[42])/2 - (153*t[43])/8 - t[44] + (5*t[45])/4 - (3*t[46])/2 - 
       (13*t[47])/2 + 58*t[48] - (373*t[49])/8 + 62*t[50] + (121*t[51])/8 - 
       57*t[52] + (417*t[53])/8 + (281*t[54])/2 + t[56] + 43*t[59] - 
       (3705*t[60])/4 - (977*t[61])/2 - (155*t[62])/4 + (543*t[63])/2 + 
       767*t[64] + (2783*t[65])/12 + (11369*t[66])/12 - 3*t[67] + 4*t[68] + 
       16*t[69] + 2*t[70] + 6*t[71] - 24*t[72] - 120*t[73] - 7*t[74] - 
       80*t[75] - 120*t[76] - 47*t[77] - 82*t[78] + 252*t[79] - 6*t[80] - 
       (129*t[81])/2 + (251*t[82])/2 + 330*t[83] - (647*t[84])/4 - 
       194*t[85] + 501*t[86] + (1161*t[87])/2 + (1063*t[88])/4 - 
       (1601*t[89])/8 - t[90] - t[92] - 2*t[93] + 2*t[94] + 2*t[95] + 
       2*t[96] - 3*t[97])*\[Zeta][5] + HPL[{1}, 1 - u]^2*
      (-6*t[98] + 9*t[99] - 11*t[100])*\[Zeta][5] + 
     HPL[{1}, 1 - v]^2*((19*t[59])/4 - (783*t[60])/8 - (555*t[61])/4 - 
       (709*t[62])/8 - (13*t[63])/4 + (1327*t[64])/8 + (1699*t[65])/24 + 
       (1849*t[66])/24 + (3*t[68])/2 + 8*t[69] + t[70] + 3*t[71] - 8*t[72] - 
       t[74]/2 - t[76] - 2*t[77] + t[78] + 62*t[79] - 2*t[80] - (5*t[81])/4 + 
       (3*t[82])/4 + 3*t[83] - (17*t[84])/2 - (385*t[85])/8 + (487*t[86])/4 + 
       (497*t[87])/8 + (497*t[88])/16 + (61*t[89])/16 - t[90]/2 + t[92]/4 - 
       t[93] - 6*t[98] + 9*t[99] - 11*t[100])*\[Zeta][5] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*((33*t[59])/2 - (1059*t[60])/4 + 
       287*t[61] + (99*t[62])/4 - 377*t[63] + (129*t[64])/2 - 
       (1933*t[65])/4 - (2819*t[66])/12 - 16*t[69] - 2*t[70] + 2*t[71] - 
       24*t[72] + 120*t[73] - t[74] - 80*t[75] + 58*t[76] - 40*t[78] - 
       2*t[80] - (111*t[81])/2 - (3*t[82])/2 + 330*t[83] - (389*t[84])/4 - 
       18*t[85] + (507*t[87])/2 + (439*t[88])/4 - (791*t[89])/8 - 2*t[93] - 
       2*t[95] - t[97] + 8*t[100])*\[Zeta][5] + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*(12*t[98] - 18*t[99] + 22*t[100])*\[Zeta][5] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*((-91*t[59])/2 + (735*t[60])/4 + 
       130*t[61] + (449*t[62])/4 + (413*t[63])/2 - 236*t[64] - 
       (1355*t[65])/12 - (1961*t[66])/12 + t[67] - 2*t[68] - 16*t[69] - 
       2*t[70] + 2*t[71] + 16*t[72] + 3*t[74] + 2*t[76] + 4*t[77] - 2*t[78] - 
       124*t[79] + 4*t[80] + (5*t[81])/2 - (3*t[82])/2 - 6*t[83] + 16*t[84] + 
       (393*t[85])/4 - (487*t[86])/2 - (513*t[87])/4 - (513*t[88])/8 + 
       (469*t[89])/8 - t[92]/2 + 2*t[93] + 12*t[98] - 18*t[99] + 22*t[100])*
      \[Zeta][5]
 
TuvwCoproductEntriet[yu] = A2[u, v, w]*HPL[{1}, 1 - v]*t[10] - 
     A4[u, v, w]*HPL[{1}, 1 - v]*t[10] + A4[u, v, w]*HPL[{1}, 1 - w]*t[10] + 
     (A3[w, u, v]*HPL[{1}, 1 - v]*t[14])/2 + 
     (A1[u, v, w]*HPL[{1}, 1 - w]*t[15])/6 - 
     (A5[v, w, u]*HPL[{1}, 1 - w]*t[15])/9 + C17[v, w, u]*t[16] + 
     C11[v, u, w]*t[20] + C14[v, u, w]*t[28] + A7[u, v, w]*HPL[{1}, 1 - w]*
      t[28] + C13[v, w, u]*t[31] + C15[w, v, u]*t[35] + 
     A5[u, v, w]*HPL[{1}, 1 - w]*t[35] + C22[v, w, u]*t[36] + 
     Omega2[w, u, v]*Phi6[u, v, w]*((-3*t[3])/4 - (5*t[4])/2 - (3*t[5])/4 - 
       (5*t[6])/4 + t[7]/2 - 4*t[8] + 3*t[9] - (13*t[10])/4 - t[11]/4 + 
       (5*t[12])/4 - (2*t[13])/3 + t[14]/2 + t[15]/8 + t[36] - t[46]/2 - 
       t[48]/2 - (5*t[49])/4 + t[50]/2 + t[51]/4 - t[52]/2 + (5*t[53])/4 - 
       t[54]/2) + Omega2[u, v, w]*Phi6[u, v, w]*((3*t[3])/4 + (5*t[4])/2 + 
       (3*t[5])/4 + (5*t[6])/4 - t[7]/2 + 4*t[8] - 3*t[9] + (13*t[10])/4 + 
       t[11]/4 - (5*t[12])/4 + (2*t[13])/3 - t[14]/2 - t[15]/8 - t[36] + 
       t[46]/2 + t[48]/2 + (5*t[49])/4 - t[50]/2 - t[51]/4 + t[52]/2 - 
       (5*t[53])/4 + t[54]/2) + A1[w, v, u]*HPL[{1}, 1 - w]*
      ((-3*t[2])/2 + t[15]/2 + t[59]/2) + (A1[v, w, u]*HPL[{1}, 1 - v]*t[59])/
      2 + A3[v, w, u]*HPL[{1}, 1 - v]*(-t[12] + t[61]) + 
     A3[w, u, v]*HPL[{1}, 1 - w]*(t[14] - t[29] + t[61]) + 
     HPL[{1}, 1 - w]^4*Phi6[u, v, w]*(-t[2]/24 - (5*t[15])/72 - t[63]) - 
     HPL[{1}, 1 - v]^4*Phi6[u, v, w]*t[63] + H1[u, v, w]*HPL[{1}, 1 - v]^2*
      (-t[63] - t[64]/2) + H1[v, w, u]*HPL[{1}, 1 - w]^2*
      ((-3*t[2])/4 + t[3]/2 + t[15]/6 - t[63] - t[64]/2) + 
     H1[v, w, u]*HPL[{1}, 1 - v]^2*(t[63] - t[64]/2) + 
     H1[u, v, w]*HPL[{1}, 1 - w]^2*(t[2]/4 - t[3]/2 + t[63] - t[64]/2) + 
     HPL[{1}, 1 - v]^2*J1[u, v, w]*((-3*t[63])/4 - (3*t[64])/8) + 
     HPL[{1}, 1 - w]^2*J1[v, w, u]*((-5*t[2])/16 + (3*t[3])/8 + t[15]/24 - 
       (3*t[63])/4 - (3*t[64])/8) + HPL[{1}, 1 - v]^2*J1[v, w, u]*
      ((3*t[63])/4 - (3*t[64])/8) + HPL[{1}, 1 - w]^2*J1[u, v, w]*
      (-t[2]/16 - (3*t[3])/8 + t[15]/4 + (3*t[63])/4 - (3*t[64])/8) + 
     HPL[{1}, 1 - v]^2*J1[w, u, v]*((3*t[63])/4 + (3*t[64])/8) + 
     HPL[{1}, 1 - w]^2*J1[w, u, v]*(-t[2]/16 + (3*t[3])/8 - t[15]/24 + 
       (3*t[63])/4 + (3*t[64])/8) + H1[w, u, v]*HPL[{1}, 1 - v]^2*
      (t[63] + t[64]/2) + H1[w, u, v]*HPL[{1}, 1 - w]^2*
      (t[2]/4 + t[3]/2 - t[15]/6 + t[63] + t[64]/2) + 
     (A2[u, w, v]*HPL[{1}, 1 - v]*t[64])/2 + 
     (A2[u, v, w]*HPL[{1}, 1 - w]*t[64])/2 + A3[u, v, w]*HPL[{1}, 1 - w]*
      (-t[9]/2 - t[15]/6 - (2*t[65])/3) + A2[w, v, u]*HPL[{1}, 1 - w]*
      (t[62]/2 - (3*t[63])/2 + (2*t[65])/3) + A2[v, w, u]*HPL[{1}, 1 - v]*
      (-t[14]/4 + t[51]/4 + t[62]/2 - (3*t[63])/2 + (2*t[65])/3) + 
     (2*A1[u, v, w]*HPL[{1}, 1 - v]*t[65])/3 - 
     (2*A3[u, v, w]*HPL[{1}, 1 - v]*t[65])/3 + 
     (2*A1[u, w, v]*HPL[{1}, 1 - w]*t[65])/3 + A2[w, v, u]*HPL[{1}, 1 - v]*
      (-t[60] + t[65]) + A2[v, w, u]*HPL[{1}, 1 - w]*
      (t[15]/3 - t[44] - t[60] + t[65]) + 2*C18[u, v, w]*t[68] + 
     C19[v, w, u]*t[69] + C19[w, u, v]*t[69] + A1[v, u, w]*HPL[{1}, 1 - v]*
      (t[12] - (2*t[13])/3 + t[59]/2 - t[61]/2 + (4*t[66])/3 + t[69]) + 
     A1[w, u, v]*HPL[{1}, 1 - w]*(-t[2]/2 - t[13]/3 - t[14] - t[15]/6 + 
       t[59]/2 - t[61]/2 + (4*t[66])/3 + t[69]) + C20[v, w, u]*t[72] + 
     C20[w, u, v]*t[72] + C21[v, w, u]*t[73] + C21[w, u, v]*t[73] + 
     A8[u, v, w]*HPL[{1}, 1 - v]*t[73] + A8[u, v, w]*HPL[{1}, 1 - w]*t[73] + 
     C23[v, w, u]*t[75] + C23[w, u, v]*t[75] + A9[u, v, w]*HPL[{1}, 1 - v]*
      t[75] + A9[u, v, w]*HPL[{1}, 1 - w]*t[75] + 2*C24[u, v, w]*t[79] + 
     C25[v, w, u]*t[83] + C25[w, u, v]*t[83] + A6[v, w, u]*HPL[{1}, 1 - v]*
      t[83] + (HPL[{1}, 1 - u]^2*K1[w, u, v]*t[83])/2 + 
     A6[w, u, v]*HPL[{1}, 1 - w]*(t[20] + t[83]) + 
     A6[w, u, v]*HPL[{1}, 1 - v]*(t[72] + t[83]) + 
     A6[v, w, u]*HPL[{1}, 1 - w]*(-t[48] + t[72] + t[83]) + 
     A4[v, w, u]*HPL[{1}, 1 - w]*(-t[3]/2 + t[15]/12 - t[88]/2) + 
     A2[w, u, v]*HPL[{1}, 1 - v]*(t[60] - t[65] - t[87] - t[88]/2) + 
     A2[v, u, w]*HPL[{1}, 1 - w]*(t[3]/2 - (5*t[15])/12 + t[20] + t[60] - 
       t[65] - t[87] - t[88]/2) - (A4[w, u, v]*HPL[{1}, 1 - v]*t[88])/2 + 
     Omega2[v, w, u]*Phi6[u, v, w]*((3*t[3])/4 - t[4]/2 + (3*t[5])/4 - 
       (11*t[6])/4 + t[7]/2 - 7*t[8] + (13*t[10])/4 - (7*t[11])/4 - 
       (5*t[12])/4 - (25*t[13])/12 - t[14] - (23*t[15])/24 - t[36] + 
       t[46]/2 - 2*t[48] + (5*t[49])/4 + 2*t[50] - t[51]/4 - 2*t[52] - 
       (5*t[53])/4 - 2*t[54] - 4*t[60] - 5*t[61] - (13*t[62])/2 + 
       (3*t[63])/2 + 6*t[64] - (31*t[65])/6 + t[66]/6 - 2*t[79] + t[81] - 
       t[82] + 3*t[83] - (3*t[84])/2 + 6*t[86] + t[87] + t[88]/2 - 4*t[89]) + 
     C26[u, v, w]*(-t[5]/2 + t[7] + t[8] + t[9]/2 - t[10] + t[11] + t[12]/2 + 
       t[14]/6 - t[15]/12 + 2*t[61] - 3*t[62] - t[63] + 3*t[64] - 
       (2*t[65])/3 - 2*t[66] + 4*t[86] - t[89]) + 
     HPL[{1}, 1 - v]^2*K1[u, v, w]*(t[4] + (3*t[7])/8 + (3*t[8])/8 + 
       t[10]/8 - t[11] + (3*t[12])/4 - (7*t[13])/12 + (31*t[14])/48 - 
       t[15]/4 + t[37]/2 - (3*t[46])/4 + (3*t[49])/4 + (3*t[51])/16 - 
       (3*t[53])/4 + t[59]/2 - (3*t[60])/2 + t[61]/2 - (3*t[62])/2 + 
       (3*t[63])/2 - (5*t[64])/4 + t[65]/3 - t[66]/6 + (3*t[69])/2 - t[70] + 
       t[71] - t[74]/2 - t[75] - t[79]/2 + 2*t[83] + (3*t[86])/2 + t[87] + 
       t[88]/2 - (3*t[89])/4) + HPL[{1}, 1 - w]^2*K1[v, w, u]*
      ((-19*t[2])/8 - t[3]/4 - t[5] - (3*t[6])/4 + (11*t[7])/8 + t[8]/8 + 
       (11*t[9])/8 - (3*t[10])/8 + (3*t[11])/4 + (3*t[12])/8 - t[13]/24 - 
       t[14]/12 + (17*t[15])/16 - t[20]/2 - t[28] + t[32]/2 - t[33] - 
       t[34]/2 + (3*t[35])/2 - (3*t[48])/4 + (3*t[50])/4 - (3*t[52])/4 - 
       (3*t[54])/4 + t[59]/2 - (3*t[60])/2 + t[61]/2 - (3*t[62])/2 + 
       (3*t[63])/2 - (5*t[64])/4 + t[65]/3 - t[66]/6 + (3*t[69])/2 - t[70] + 
       t[71] - t[74]/2 - t[75] - t[79]/2 + 2*t[83] + (3*t[86])/2 + t[87] + 
       t[88]/2 - (3*t[89])/4) + A6[u, v, w]*HPL[{1}, 1 - v]*
      (-t[4] + t[10]/2 + t[12]/2 - t[13]/3 + t[14]/4 - t[15]/6 - t[49]/2 + 
       t[51]/4 + t[53]/2 - 2*t[60] + t[61] - t[62]/2 + t[63]/2 + t[64]/2 + 
       (5*t[65])/3 - (2*t[66])/3 + t[83] + t[87] + t[88]/2 - t[89]/2) + 
     A6[u, v, w]*HPL[{1}, 1 - w]*(-t[6]/2 + t[7] - t[8] + t[11]/2 - t[14]/2 + 
       t[15]/2 - t[48]/2 + t[50]/2 - t[52]/2 - t[54]/2 - 2*t[60] + t[61] - 
       t[62]/2 + t[63]/2 + t[64]/2 + (5*t[65])/3 - (2*t[66])/3 + t[83] + 
       t[87] + t[88]/2 - t[89]/2) + F1[w, u, v]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*(-t[4] - t[5]/4 + t[7]/4 + t[8]/4 + t[9]/4 - 
       (5*t[10])/4 + t[11]/2 + (3*t[12])/4 + t[13]/6 - t[14]/8 + t[15]/8 + 
       t[46]/2 - t[49]/2 - t[51]/8 + t[53]/2 - t[60] + t[61] - t[64]/2 + 
       (2*t[65])/3 + t[69] - t[73] - t[74] + t[75] - t[79] - 3*t[83] + 
       t[86] + t[87] + t[88]/2 - t[89]/2) + F1[v, w, u]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*((-3*t[2])/4 + t[5]/4 + t[6] + t[7]/4 + (11*t[8])/4 - 
       (5*t[9])/2 - (5*t[10])/4 + t[12]/2 + t[13]/6 - t[14]/4 + 
       (11*t[15])/18 + t[20] - t[28] + t[32] - t[33] + 2*t[35] + t[48]/2 - 
       t[50]/2 + t[52]/2 + t[54]/2 - t[60] + t[61] - t[64]/2 + (2*t[65])/3 + 
       t[69] - t[73] - t[74] + t[75] - t[79] - 3*t[83] + t[86] + t[87] + 
       t[88]/2 - t[89]/2) + A4[w, u, v]*HPL[{1}, 1 - w]*
      (-t[6]/4 - t[9]/2 + t[11]/4 - t[13]/6 - t[14]/4 + t[15]/4 + t[48]/4 + 
       t[50]/4 - t[52]/4 - t[54]/4 - (3*t[60])/2 + t[61]/2 + t[62]/4 + 
       (7*t[63])/4 + t[64]/4 + t[65]/2 + (3*t[66])/2 - t[84]/2 - t[85]/2 + 
       t[87]/2 + t[88]/4 - t[89]/4) + A4[v, w, u]*HPL[{1}, 1 - v]*
      (-t[4]/2 + (3*t[10])/4 - t[11] - t[12]/4 - (5*t[13])/6 + t[14]/24 + 
       t[15]/4 + t[49]/4 - t[51]/8 - t[53]/4 + t[54]/2 - (3*t[60])/2 + 
       t[61]/2 + t[62]/4 + (7*t[63])/4 + t[64]/4 + t[65]/2 + (3*t[66])/2 - 
       t[84]/2 - t[85]/2 + t[87]/2 + t[88]/4 - t[89]/4) + 
     A2[v, u, w]*HPL[{1}, 1 - v]*(t[4]/2 - (3*t[10])/4 + t[11] + t[12]/4 + 
       (5*t[13])/6 - t[14]/24 + t[15]/12 - t[49]/4 + t[51]/8 + t[53]/4 - 
       t[54]/2 + t[60]/2 - t[61]/2 - t[62]/4 - (7*t[63])/4 - t[64]/4 + 
       t[65]/2 - (3*t[66])/2 + t[72] + t[84]/2 + t[85]/2 - t[87]/2 - 
       t[88]/4 + t[89]/4) + A2[w, u, v]*HPL[{1}, 1 - w]*
      (t[6]/4 + t[9]/2 - t[11]/4 + t[13]/6 + t[14]/4 - t[15]/4 - t[30] - 
       t[48]/4 - t[50]/4 + t[52]/4 + t[54]/4 + t[60]/2 - t[61]/2 - t[62]/4 - 
       (7*t[63])/4 - t[64]/4 + t[65]/2 - (3*t[66])/2 + t[72] + t[84]/2 + 
       t[85]/2 - t[87]/2 - t[88]/4 + t[89]/4) + A1[w, u, v]*HPL[{1}, 1 - v]*
      (t[4] - t[6]/2 - t[10]/2 + t[11] - t[12]/2 + t[13]/3 - (3*t[14])/4 - 
       t[15]/6 - t[19] + t[49]/2 - t[51]/4 - t[53]/2 - t[54] + t[60] - 
       t[61] + t[62]/2 - t[63]/2 - t[64]/2 - t[65]/3 - (4*t[66])/3 + t[85] - 
       t[87] - t[88]/2 + t[89]/2) + A1[v, u, w]*HPL[{1}, 1 - w]*
      (-t[5] + t[6]/2 + t[9] - t[11]/2 + t[12]/2 + t[13]/2 + t[14]/2 - 
       t[15]/2 + t[31] - t[48]/2 - t[50]/2 + t[52]/2 + t[54]/2 + t[60] - 
       t[61] + t[62]/2 - t[63]/2 - t[64]/2 - t[65]/3 - (4*t[66])/3 + t[85] - 
       t[87] - t[88]/2 + t[89]/2) + 6*C21[u, v, w]*t[98] + 
     6*C23[u, v, w]*t[99] + HPL[{0, 0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((3*t[1])/2 - (19*t[2])/4 - (105*t[3])/8 + (93*t[4])/8 + 
       (141*t[5])/16 + (77*t[6])/16 + (409*t[7])/8 + (21*t[8])/8 + 
       (589*t[9])/16 - (899*t[10])/16 + (1403*t[11])/16 + (57*t[12])/8 + 
       (3859*t[13])/144 + (1115*t[14])/32 - (1591*t[15])/288 - 4*t[27] + 
       t[29] - 9*t[30] - 6*t[31] + t[32] - t[33] - 2*t[34] + 2*t[35] - 
       t[36] + t[38] + 2*t[39] - t[40]/2 + t[41] - t[42] + (29*t[43])/4 + 
       (5*t[44])/2 - (29*t[45])/2 - (5*t[46])/2 + 30*t[47] + (5*t[48])/16 + 
       (153*t[49])/16 - (31*t[50])/16 - (121*t[51])/32 - t[52]/16 - 
       (89*t[53])/16 - (259*t[54])/16 + (39*t[60])/2 + (241*t[61])/2 - 
       113*t[62] - 69*t[63] + (181*t[64])/2 - (139*t[65])/3 - (389*t[66])/3 + 
       24*t[76] + t[77] - 38*t[78] + 8*t[79] + 60*t[80] - 15*t[82] + 
       6*t[83] + (7*t[84])/4 + (23*t[85])/4 + 84*t[86] - (95*t[87])/4 - 
       (95*t[88])/8 - (9*t[89])/2 + 6*t[96] + 4*t[97] + 200*t[98] - 
       248*t[99] - 222*t[100]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - w]*
      (-t[1] + (29*t[2])/4 - (97*t[3])/8 - (25*t[4])/4 - (13*t[5])/2 + 
       (213*t[6])/16 + (43*t[7])/2 + (107*t[8])/4 + (321*t[9])/8 - 
       (77*t[10])/8 + (79*t[11])/16 + (39*t[12])/8 - (257*t[13])/72 + 
       (89*t[14])/2 + (149*t[15])/72 - (7*t[19])/3 - 2*t[20] + 2*t[21] - 
       2*t[23] + 4*t[28] + t[29]/2 - 9*t[30] + 2*t[31] - 2*t[32] + 6*t[34] - 
       4*t[35] + 2*t[36] + 3*t[37] - 2*t[38] + 6*t[39] - 5*t[40] - 
       (17*t[44])/4 - 10*t[45] + 8*t[47] - (33*t[48])/16 + (35*t[49])/8 - 
       (109*t[50])/16 - (85*t[51])/16 + (205*t[52])/16 - (35*t[53])/8 + 
       (25*t[54])/16 - t[59]/2 + (201*t[60])/8 + (129*t[61])/8 - 
       (269*t[62])/16 + (141*t[63])/16 - (263*t[64])/16 - (565*t[65])/24 - 
       (955*t[66])/24 - 4*t[69] + 3*t[72] + 2*t[73] + 4*t[74] + 4*t[75] + 
       15*t[76] - t[77] - 12*t[78] - t[79] + 12*t[80] + (7*t[81])/2 + 
       t[82]/2 + 20*t[83] + (35*t[84])/8 + (137*t[85])/8 + 19*t[86] - 
       (249*t[87])/8 - (249*t[88])/16 - (365*t[89])/16 + t[97] + 74*t[98] - 
       72*t[99] - 112*t[100]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - v]*
      ((-3*t[1])/2 - (5*t[2])/2 + 5*t[3] + (85*t[4])/8 - (23*t[5])/4 - 
       (235*t[6])/8 + (79*t[7])/4 - (241*t[8])/4 + (27*t[9])/4 - 
       (415*t[10])/16 + (211*t[11])/8 + t[12]/16 + (1079*t[13])/72 - 
       (779*t[14])/96 - (79*t[15])/16 - t[26] - 2*t[28] - 3*t[29] + t[30] + 
       4*t[31] + t[34] + 6*t[35] - 6*t[36] - 2*t[37] - 2*t[39] + 3*t[40] - 
       t[41]/2 + t[42]/2 - 2*t[43] + (17*t[44])/2 - (159*t[48])/8 + 
       (39*t[49])/16 + (81*t[50])/8 + (27*t[51])/32 - (121*t[52])/8 - 
       (55*t[53])/16 - (43*t[54])/2 - t[58] - t[59]/2 + (201*t[60])/8 + 
       (129*t[61])/8 - (269*t[62])/16 + (141*t[63])/16 - (263*t[64])/16 - 
       (565*t[65])/24 - (955*t[66])/24 - 4*t[69] + 3*t[72] + 2*t[73] + 
       4*t[74] + 4*t[75] + 15*t[76] - t[77] - 12*t[78] - t[79] + 12*t[80] + 
       (7*t[81])/2 + t[82]/2 + 20*t[83] + (35*t[84])/8 + (137*t[85])/8 + 
       19*t[86] - (249*t[87])/8 - (249*t[88])/16 - (365*t[89])/16 + t[97] + 
       74*t[98] - 72*t[99] - 112*t[100]) + F1[u, v, w]*HPL[{0, 0, 1}, 1 - u]*
      ((-5*t[1])/4 + (61*t[2])/4 - (23*t[3])/4 + (105*t[4])/8 - (49*t[5])/4 + 
       (57*t[6])/16 + (25*t[7])/2 + t[8]/4 + (45*t[9])/2 - (49*t[10])/16 + 
       (471*t[11])/16 - (11*t[12])/16 + (451*t[13])/72 + (2813*t[14])/96 + 
       (413*t[15])/48 - t[18] - t[20] - t[21] + t[23] - t[24] + t[25] - 
       t[26] - t[27] + 2*t[29] + t[30] + t[31] - t[33] - t[34] + 2*t[35] - 
       t[36] - 2*t[37] - t[38]/2 + t[39] - (5*t[41])/4 + (3*t[42])/4 - 
       t[43]/4 - t[44]/2 + (11*t[45])/2 - (7*t[46])/4 - 13*t[47] - 
       (75*t[48])/16 + (85*t[49])/16 + (61*t[50])/16 - (59*t[51])/32 - 
       (45*t[52])/16 - (85*t[53])/16 - (63*t[54])/16 - t[58]/2 + t[59] + 
       (73*t[60])/4 + (289*t[61])/4 - (285*t[62])/8 + (249*t[63])/8 - 
       (569*t[64])/8 - (71*t[65])/3 - 58*t[66] - 4*t[69] + 2*t[70] - 
       2*t[71] + 2*t[72] + t[74] - 6*t[75] - 5*t[76] - 2*t[77] + 11*t[78] - 
       14*t[79] - 20*t[80] + (5*t[81])/2 - (25*t[82])/2 + 15*t[83] + 
       5*t[84] - (9*t[85])/4 + 12*t[86] - (51*t[87])/4 - (51*t[88])/8 - 
       (219*t[89])/8 - 36*t[98] + 70*t[99] - 98*t[100]) + 
     G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*((-9*t[4])/4 - (21*t[5])/8 - 
       t[6]/2 + (43*t[7])/4 + (19*t[8])/4 - (7*t[9])/8 - (87*t[10])/8 + 
       10*t[11] + 3*t[12] + (17*t[13])/72 + (43*t[14])/48 + (73*t[15])/48 + 
       t[20] - t[31] + t[32] - t[33] + 3*t[35] + 2*t[36] + t[43]/2 + t[44] - 
       (5*t[48])/4 - (3*t[49])/8 + (5*t[50])/4 + (3*t[51])/16 - (5*t[52])/4 + 
       (3*t[53])/8 - (3*t[54])/2 - (7*t[60])/4 + (69*t[61])/4 - 
       (179*t[62])/8 - (25*t[63])/8 + (185*t[64])/8 - (29*t[65])/4 - 
       (197*t[66])/12 + t[69] + t[72] - t[73] - t[74] + 7*t[75] - t[77] - 
       t[78] + 2*t[79] + 2*t[80] - (15*t[83])/2 - t[84]/4 + t[85]/4 + 
       30*t[86] + (5*t[87])/4 + (5*t[88])/8 - (81*t[89])/8 + 6*t[98] - 
       (177*t[100])/2) + G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (t[3]/4 - t[4] - (37*t[5])/8 + t[6]/8 + (27*t[7])/4 + (33*t[8])/4 + 
       (35*t[9])/8 - 12*t[10] + (75*t[11])/8 + (35*t[12])/8 - (31*t[13])/72 + 
       (49*t[14])/24 - (89*t[15])/48 - 2*t[28] - t[31] + 5*t[35] + 2*t[36] - 
       t[39] + t[40] - t[45] + 2*t[47] + t[48]/8 + t[49]/4 - (3*t[50])/8 - 
       (3*t[51])/8 + (3*t[52])/8 - t[53]/4 + (3*t[54])/8 - (7*t[60])/4 + 
       (69*t[61])/4 - (179*t[62])/8 - (25*t[63])/8 + (185*t[64])/8 - 
       (29*t[65])/4 - (197*t[66])/12 + t[69] + t[72] - t[73] - t[74] + 
       7*t[75] - t[77] - t[78] + 2*t[79] + 2*t[80] - (15*t[83])/2 - t[84]/4 + 
       t[85]/4 + 30*t[86] + (5*t[87])/4 + (5*t[88])/8 - (81*t[89])/8 + 
       6*t[98] - (177*t[100])/2) + HPL[{0, 1}, 1 - w]*K1[u, v, w]*
      ((-3*t[1])/4 + (3*t[3])/4 + (23*t[4])/8 + (43*t[5])/16 + 
       (113*t[6])/16 + 8*t[7] + (43*t[8])/2 - (19*t[9])/16 - (77*t[10])/8 + 
       (241*t[11])/16 + (59*t[12])/16 + (23*t[13])/4 + (721*t[14])/96 + 
       (79*t[15])/96 + t[25] - t[26]/2 - t[28] - t[30] + (3*t[36])/2 + 
       t[37]/2 - t[38]/2 + t[39] + t[45]/2 - t[46] - t[47] + (57*t[48])/16 - 
       (5*t[49])/2 - (63*t[50])/16 + (33*t[51])/32 + (47*t[52])/16 - 
       t[53]/4 + (53*t[54])/16 + (3*t[59])/4 + (93*t[60])/8 + 29*t[61] - 
       (71*t[62])/2 - 14*t[63] + (159*t[64])/4 + (11*t[65])/24 - 
       (133*t[66])/8 + t[69] + t[70] - t[71] + 2*t[72] + t[73] + t[74]/2 - 
       4*t[75] - (7*t[76])/2 - t[77]/2 + (9*t[78])/2 + 10*t[79] + t[80] - 
       t[81]/4 + (7*t[82])/4 + 10*t[83] + (39*t[84])/8 - (7*t[85])/2 + 
       34*t[86] - t[87]/4 + (35*t[88])/8 - (55*t[89])/16 - t[95] - t[96] + 
       t[97]/2 - 22*t[98] + 50*t[99] - 86*t[100]) + 
     HPL[{0, 1}, 1 - v]*K1[v, w, u]*(t[1]/4 - (31*t[2])/8 - (179*t[3])/16 - 
       (45*t[4])/8 - (185*t[5])/16 + (9*t[6])/2 + (73*t[7])/8 + 
       (167*t[8])/8 + (51*t[9])/16 - (159*t[10])/16 + (11*t[11])/4 + 
       (49*t[12])/8 - (545*t[13])/144 + (71*t[14])/32 - (157*t[15])/72 + 
       t[19] - t[20] - t[21] + t[23] - 5*t[28] + t[29]/4 - t[30]/2 - t[31] + 
       (11*t[32])/4 - (3*t[33])/2 - t[34]/2 + 4*t[35] + t[37]/2 + t[41]/2 - 
       t[42]/2 - t[43]/4 - (5*t[44])/8 + t[45] + (3*t[47])/2 + (31*t[48])/8 - 
       (29*t[49])/16 - (5*t[50])/8 + (37*t[51])/32 + t[52]/8 + 
       (29*t[53])/16 + (73*t[54])/8 + (3*t[59])/4 + (93*t[60])/8 + 29*t[61] - 
       (71*t[62])/2 - 14*t[63] + (159*t[64])/4 + (11*t[65])/24 - 
       (133*t[66])/8 + t[69] + t[70] - t[71] + 2*t[72] + t[73] + t[74]/2 - 
       4*t[75] - (7*t[76])/2 - t[77]/2 + (9*t[78])/2 + 10*t[79] + t[80] - 
       t[81]/4 + (7*t[82])/4 + 10*t[83] + (39*t[84])/8 - (7*t[85])/2 + 
       34*t[86] - t[87]/4 + (35*t[88])/8 - (55*t[89])/16 - t[95] - t[96] + 
       t[97]/2 - 22*t[98] + 50*t[99] - 86*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (-t[1] - (3*t[2])/4 - (115*t[3])/8 + (17*t[4])/2 - (137*t[5])/8 + 
       (93*t[6])/16 + (55*t[7])/4 + (49*t[8])/4 + (179*t[9])/4 - 
       (5*t[10])/2 + (461*t[11])/16 + (137*t[12])/8 + (1715*t[13])/144 + 
       (1679*t[14])/48 - (5*t[15])/144 + 2*t[19] - 2*t[20] - 2*t[21] + 
       2*t[23] - 4*t[24] + t[28] - (3*t[29])/2 - 4*t[30] - t[31] - t[32] - 
       t[33] + 6*t[34] + 2*t[35] - t[36] - 2*t[37] - 2*t[38] + 5*t[39] - 
       6*t[40] - (3*t[43])/4 - (13*t[44])/4 - (35*t[45])/4 - t[46]/2 + 
       (21*t[47])/2 - (119*t[48])/16 + (7*t[49])/4 + (61*t[50])/16 - 
       (3*t[51])/2 + (35*t[52])/16 - (7*t[53])/4 + (11*t[54])/16 - 2*t[57] + 
       (3*t[59])/2 + (151*t[60])/8 + (415*t[61])/8 - (201*t[62])/16 + 
       (441*t[63])/16 - (331*t[64])/16 - (329*t[65])/24 - (1051*t[66])/24 + 
       2*t[72] + 4*t[75] + 5*t[76] + 2*t[78] + 2*t[79] + 4*t[80] + 5*t[81] + 
       t[82] + 15*t[83] + (27*t[84])/8 - (13*t[85])/8 - (17*t[86])/2 - 
       (163*t[87])/8 - (163*t[88])/16 - (359*t[89])/16 + t[97] + 20*t[98] - 
       12*t[99] - 58*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      Phi6[u, v, w]*((-3*t[1])/2 - (13*t[2])/4 - (7*t[3])/4 - (77*t[4])/8 + 
       (83*t[5])/8 - (59*t[6])/4 + (7*t[7])/8 - (181*t[8])/8 - (17*t[9])/2 + 
       (135*t[10])/16 + (41*t[11])/8 - (37*t[12])/16 + (127*t[13])/144 + 
       (913*t[14])/96 + (389*t[15])/48 - t[26] - t[28] - t[29] + 2*t[30] - 
       t[31] - t[32] + t[33] + t[34] - 2*t[35] + t[36] + 2*t[37] - t[39] + 
       3*t[40] - t[41]/2 + t[42]/2 + (9*t[43])/8 + t[44] + 3*t[45] - 
       (3*t[46])/2 - 8*t[47] - (33*t[48])/8 + (35*t[49])/16 - (9*t[50])/8 + 
       (51*t[51])/32 - (31*t[52])/8 - (51*t[53])/16 - (13*t[54])/4 - t[58] + 
       (3*t[59])/2 + (151*t[60])/8 + (415*t[61])/8 - (201*t[62])/16 + 
       (441*t[63])/16 - (331*t[64])/16 - (329*t[65])/24 - (1051*t[66])/24 + 
       2*t[72] + 4*t[75] + 5*t[76] + 2*t[78] + 2*t[79] + 4*t[80] + 5*t[81] + 
       t[82] + 15*t[83] + (27*t[84])/8 - (13*t[85])/8 - (17*t[86])/2 - 
       (163*t[87])/8 - (163*t[88])/16 - (359*t[89])/16 + t[97] + 20*t[98] - 
       12*t[99] - 58*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      Phi6[u, v, w]*(-t[1]/2 - 9*t[2] + (31*t[3])/8 + (7*t[4])/2 + 
       (337*t[5])/16 + (67*t[6])/8 + (97*t[7])/8 - (145*t[8])/8 - 
       (109*t[9])/16 - (9*t[10])/8 + (65*t[11])/8 - (105*t[12])/16 + 
       (817*t[13])/144 - (385*t[14])/48 + (299*t[15])/96 + 2*t[27] + 
       2*t[28] + (5*t[29])/4 - 2*t[30] - 4*t[35] - 2*t[36] + (3*t[39])/2 - 
       (3*t[40])/2 - (3*t[43])/4 + 3*t[44] - t[45]/2 + t[47] + (9*t[48])/4 + 
       t[49] + (15*t[50])/4 + t[51] - (15*t[52])/4 - t[53] - (29*t[54])/4 - 
       t[59] - (51*t[60])/4 + (7*t[61])/4 + (39*t[62])/8 - (7*t[63])/8 - 
       (225*t[64])/8 - (263*t[65])/12 + (325*t[66])/12 + t[72] - 3*t[73] - 
       2*t[75] + 4*t[76] + t[77]/2 - 10*t[78] + 10*t[79] + 3*t[80] - 
       4*t[81] + 17*t[82] - 9*t[83] - 5*t[84] + t[85]/2 - 27*t[86] + 
       (21*t[87])/2 + (21*t[88])/4 + (17*t[89])/8 + 48*t[98] - 68*t[99] - 
       54*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (-t[1]/2 - 9*t[2] + (11*t[3])/8 - (13*t[4])/2 + (165*t[5])/16 + 
       (53*t[6])/8 + (73*t[7])/8 + (31*t[8])/8 - (161*t[9])/16 - 
       (21*t[10])/8 - (61*t[11])/8 - (21*t[12])/16 - (1175*t[13])/144 - 
       (73*t[14])/16 + (85*t[15])/32 + 2*t[27] - 2*t[30] + 2*t[31] - 
       4*t[35] + 2*t[36] + (3*t[43])/4 - (5*t[45])/2 + 5*t[47] - t[48]/2 - 
       2*t[49] - (3*t[50])/2 + (15*t[51])/8 + (3*t[52])/2 + 2*t[53] + 
       (13*t[54])/2 - t[59] - (51*t[60])/4 + (7*t[61])/4 + (39*t[62])/8 - 
       (7*t[63])/8 - (225*t[64])/8 - (263*t[65])/12 + (325*t[66])/12 + 
       t[72] - 3*t[73] - 2*t[75] + 4*t[76] + t[77]/2 - 10*t[78] + 10*t[79] + 
       3*t[80] - 4*t[81] + 17*t[82] - 9*t[83] - 5*t[84] + t[85]/2 - 
       27*t[86] + (21*t[87])/2 + (21*t[88])/4 + (17*t[89])/8 + 48*t[98] - 
       68*t[99] - 54*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      Phi6[u, v, w]*(2*t[1] + (5*t[2])/4 + t[3]/2 + (9*t[4])/4 + 
       (97*t[5])/8 - (195*t[6])/16 + 22*t[7] - (113*t[8])/4 + 11*t[9] + 
       (103*t[10])/8 + (251*t[11])/16 + (27*t[12])/4 + (5*t[13])/18 + 
       (87*t[14])/16 + (29*t[15])/72 + 2*t[27] - 2*t[28] - t[29] + t[31] + 
       t[32] - t[33] - 2*t[34] - t[35] + t[36] + t[38] + 2*t[39] - t[40]/2 + 
       t[41] - t[42] - t[43]/2 + (5*t[44])/2 + 2*t[45] - t[46]/2 - 3*t[47] - 
       (137*t[48])/16 + (23*t[49])/8 + (99*t[50])/16 - (5*t[51])/8 - 
       (131*t[52])/16 + (9*t[53])/8 - (199*t[54])/16 + t[59] - 
       (147*t[60])/8 + (307*t[61])/8 - (429*t[62])/16 - (3*t[63])/16 - 
       (45*t[64])/16 - (929*t[65])/24 - (109*t[66])/8 + 2*t[72] + t[73] - 
       t[75] + 7*t[76] - 11*t[78] - 4*t[80] - (7*t[81])/2 + (11*t[82])/2 + 
       16*t[83] - (121*t[84])/8 - (103*t[85])/8 + 2*t[86] - (29*t[87])/8 - 
       (29*t[88])/16 - (369*t[89])/16 + 6*t[96] + 4*t[97] + 20*t[98] - 
       12*t[99] - 52*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      Phi6[u, v, w]*(2*t[1] - t[2] + (27*t[3])/8 + (115*t[4])/8 + 
       (105*t[5])/8 - (79*t[6])/8 - t[7]/4 + 3*t[8] - (137*t[9])/8 + 
       (245*t[10])/16 + (63*t[11])/8 - (77*t[12])/16 - (643*t[13])/72 + 
       (257*t[14])/32 - (121*t[15])/144 + 2*t[27] - 2*t[28] + t[29]/2 - 
       t[30]/2 + t[32] - t[33] - 2*t[34] + 2*t[35] - 4*t[36] + t[38] + 
       3*t[39] + t[40]/4 + t[41] - t[42] - t[43] - (15*t[44])/4 + 2*t[45] + 
       (5*t[46])/2 - 3*t[47] + (3*t[48])/8 + (251*t[49])/16 - (25*t[50])/8 - 
       (291*t[51])/32 + (9*t[52])/8 - (187*t[53])/16 - (23*t[54])/2 + t[59] - 
       (147*t[60])/8 + (307*t[61])/8 - (429*t[62])/16 - (3*t[63])/16 - 
       (45*t[64])/16 - (929*t[65])/24 - (109*t[66])/8 + 2*t[72] + t[73] - 
       t[75] + 7*t[76] - 11*t[78] - 4*t[80] - (7*t[81])/2 + (11*t[82])/2 + 
       16*t[83] - (121*t[84])/8 - (103*t[85])/8 + 2*t[86] - (29*t[87])/8 - 
       (29*t[88])/16 - (369*t[89])/16 + 6*t[96] + 4*t[97] + 20*t[98] - 
       12*t[99] - 52*t[100]) + HPL[{0, 1, 1, 1}, 1 - v]*Phi6[u, v, w]*
      ((-19*t[3])/4 + 15*t[4] - (67*t[5])/8 + (39*t[6])/8 + (19*t[7])/4 + 
       (57*t[8])/4 + (93*t[9])/8 - (37*t[10])/2 + (137*t[11])/8 + 
       (5*t[12])/8 + (571*t[13])/24 + (241*t[14])/24 + (37*t[15])/48 + 
       8*t[25] - 8*t[26] + 6*t[36] - 7*t[46] + (51*t[48])/8 + (39*t[49])/4 - 
       (49*t[50])/8 + (9*t[51])/8 + (49*t[52])/8 - (39*t[53])/4 + t[54]/8 + 
       (139*t[60])/4 - (7*t[61])/4 - (33*t[62])/4 - (155*t[63])/4 + 
       (343*t[64])/8 + (79*t[65])/3 - (311*t[66])/6 - 3*t[69] + 12*t[73] - 
       12*t[75] + 10*t[79] - 4*t[80] + t[81] - t[82] - 31*t[83] + 
       (49*t[84])/4 + (23*t[85])/4 + 4*t[86] - (109*t[87])/4 - 
       (109*t[88])/8 + (161*t[89])/8 - 12*t[99] - 49*t[100]) + 
     HPL[{0, 1, 1, 1}, 1 - w]*Phi6[u, v, w]*(-18*t[2] - (35*t[3])/2 + 
       8*t[4] - (115*t[5])/8 + (7*t[6])/2 - (31*t[7])/4 + (85*t[8])/4 + 
       (271*t[9])/8 + (25*t[10])/2 + (17*t[11])/4 + (21*t[12])/8 + 
       (763*t[13])/72 + (11*t[14])/6 - (679*t[15])/48 - 3*t[20] + 3*t[22] + 
       9*t[28] + 8*t[29] - 12*t[30] - 3*t[33] + 4*t[35] + 4*t[37] + 2*t[41] - 
       2*t[42] - 12*t[44] + 4*t[47] + (55*t[48])/4 - t[49]/4 - (31*t[50])/4 + 
       t[51]/8 + (31*t[52])/4 + t[53]/4 + (33*t[54])/4 + (139*t[60])/4 - 
       (7*t[61])/4 - (33*t[62])/4 - (155*t[63])/4 + (343*t[64])/8 + 
       (79*t[65])/3 - (311*t[66])/6 - 3*t[69] + 12*t[73] - 12*t[75] + 
       10*t[79] - 4*t[80] + t[81] - t[82] - 31*t[83] + (49*t[84])/4 + 
       (23*t[85])/4 + 4*t[86] - (109*t[87])/4 - (109*t[88])/8 + 
       (161*t[89])/8 - 12*t[99] - 49*t[100]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*(t[1]/4 + (27*t[2])/8 - (95*t[3])/16 + 
       (159*t[4])/16 - (613*t[5])/32 + (27*t[6])/32 + (31*t[7])/16 + 
       (243*t[8])/16 + (467*t[9])/32 - (273*t[10])/32 + (597*t[11])/32 + 
       (53*t[12])/16 + (3269*t[13])/288 + (1081*t[14])/64 - 
       (1825*t[15])/576 - 2*t[27] - t[29]/2 - t[30]/2 - t[31] + t[32]/2 - 
       t[33]/2 + 3*t[35] + t[36]/2 + (3*t[39])/2 - (3*t[40])/4 - t[43]/8 - 
       t[44]/4 + t[45]/4 - t[46]/4 + (27*t[48])/32 - (37*t[49])/32 - 
       (97*t[50])/32 + (45*t[51])/64 + (97*t[52])/32 + (37*t[53])/32 + 
       (59*t[54])/32 + t[59]/2 + (149*t[60])/4 + (95*t[61])/4 - 
       (113*t[62])/4 - (115*t[63])/4 + (63*t[64])/4 + (17*t[65])/6 - 
       (377*t[66])/6 + 2*t[72] + 2*t[75] + (3*t[77])/2 + 6*t[78] - 6*t[79] + 
       5*t[81] - (31*t[82])/2 + 3*t[83] + (69*t[84])/8 + (9*t[85])/8 + 
       30*t[86] - (113*t[87])/8 - (113*t[88])/16 - (3*t[89])/4 + 14*t[98] + 
       10*t[99] - 49*t[100]) + H1[w, u, v]*HPL[{0, 1}, 1 - u]*
      (3*t[2] - (5*t[3])/8 + (3*t[4])/4 - (45*t[5])/8 - t[6] + (35*t[7])/4 + 
       (31*t[8])/4 + (47*t[9])/8 - (83*t[10])/8 + (101*t[11])/8 + 5*t[12] + 
       (329*t[13])/144 + (47*t[14])/16 + (5*t[15])/24 - (3*t[28])/2 + 
       t[29]/2 - t[31]/2 + t[35]/2 - t[37]/2 - t[41]/4 + t[42]/4 + t[44] - 
       t[47]/2 - (13*t[48])/8 - (3*t[49])/8 + (9*t[50])/8 + (3*t[51])/16 - 
       (9*t[52])/8 + (3*t[53])/8 - (11*t[54])/8 + (3*t[60])/2 + 22*t[61] - 
       30*t[62] - 15*t[63] + 18*t[64] - (7*t[65])/6 - (55*t[66])/2 - t[69] - 
       3*t[75] - 2*t[79] + t[80] - 2*t[82] + 11*t[83] + t[84] + t[85] + 
       39*t[86] + t[87] + t[88]/2 - 11*t[89] + 2*t[99] - 47*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((3*t[1])/4 + (15*t[2])/2 + (17*t[3])/16 + (125*t[4])/16 + 
       (11*t[5])/32 - (43*t[6])/16 - (37*t[7])/16 + (109*t[8])/16 + 
       (57*t[9])/32 - (185*t[10])/32 + (169*t[11])/16 + (7*t[12])/16 + 
       (659*t[13])/96 + (389*t[14])/192 - (175*t[15])/64 - t[26]/2 - t[28] + 
       t[30] + 3*t[35] - t[36] + t[38]/2 + (3*t[43])/8 - t[44] + 
       (5*t[45])/4 - (5*t[47])/2 - (3*t[48])/8 + (71*t[49])/32 + t[50]/8 - 
       (115*t[51])/64 - t[52]/8 - (71*t[53])/32 - (67*t[54])/16 + t[59]/4 + 
       (137*t[60])/16 + (69*t[61])/16 - (507*t[62])/32 - (221*t[63])/32 + 
       (953*t[64])/32 - (241*t[65])/48 - (1435*t[66])/48 + 4*t[73] - 
       3*t[75] + t[76] + t[77]/2 + 4*t[78] - 5*t[79] + 3*t[81] - 7*t[82] + 
       (9*t[83])/2 + (37*t[84])/16 + (9*t[85])/16 + 39*t[86] - 
       (143*t[87])/16 - (143*t[88])/32 - (281*t[89])/32 + t[96] - 8*t[98] + 
       16*t[99] - 47*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*(t[1]/4 + (33*t[2])/4 - (3*t[3])/2 + 
       (7*t[4])/4 - (325*t[5])/32 - (189*t[6])/32 + (67*t[7])/16 + 
       (109*t[8])/16 + (259*t[9])/32 - (163*t[10])/16 + (53*t[11])/32 + 
       (101*t[12])/32 - (791*t[13])/288 + (121*t[14])/24 - (2729*t[15])/576 - 
       t[28] - (7*t[29])/4 + (5*t[30])/2 + t[34]/2 + 2*t[35] - t[36] + 
       t[39]/4 - t[40]/4 + (3*t[43])/8 + t[44]/2 - (3*t[45])/4 + t[46]/2 + 
       (3*t[47])/2 - (109*t[48])/32 + 2*t[49] - (53*t[50])/32 - 
       (19*t[51])/8 + (53*t[52])/32 - 2*t[53] - (51*t[54])/32 + t[59]/4 + 
       (137*t[60])/16 + (69*t[61])/16 - (507*t[62])/32 - (221*t[63])/32 + 
       (953*t[64])/32 - (241*t[65])/48 - (1435*t[66])/48 + 4*t[73] - 
       3*t[75] + t[76] + t[77]/2 + 4*t[78] - 5*t[79] + 3*t[81] - 7*t[82] + 
       (9*t[83])/2 + (37*t[84])/16 + (9*t[85])/16 + 39*t[86] - 
       (143*t[87])/16 - (143*t[88])/32 - (281*t[89])/32 + t[96] - 8*t[98] + 
       16*t[99] - 47*t[100]) + F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      (-t[1] + (9*t[2])/4 + (9*t[3])/4 + (47*t[4])/8 + (37*t[5])/8 - 
       (11*t[6])/4 + t[7] + t[8]/2 - (41*t[9])/8 - (85*t[10])/8 + 
       (27*t[11])/8 - t[12]/8 + (103*t[13])/24 - (241*t[14])/32 - 
       (29*t[15])/48 + 2*t[25] - t[26] + t[27] - t[28] + t[30] + t[35] - 
       t[38] - t[46]/2 + (7*t[48])/4 + (7*t[49])/2 + t[50]/4 - 
       (63*t[51])/32 - t[52]/4 - (17*t[53])/4 - (47*t[54])/8 + t[59]/2 - 
       (23*t[60])/4 - (21*t[61])/8 + (11*t[62])/16 - (167*t[63])/16 + 
       (529*t[64])/16 - (127*t[65])/24 + (25*t[66])/24 - t[69] + 2*t[73] + 
       2*t[74] - 6*t[75] + t[76] + 4*t[79] - t[80] - (3*t[81])/2 + 
       (7*t[82])/2 + 8*t[83] + (11*t[84])/8 + t[85]/8 + 12*t[86] + 
       (33*t[87])/8 + (33*t[88])/16 + (7*t[89])/4 + t[96] - 2*t[98] - 
       2*t[99] - 46*t[100]) + F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-9*t[2])/4 - (103*t[3])/16 - (5*t[4])/2 - t[5]/2 + (7*t[6])/4 - 
       (65*t[7])/8 + (103*t[8])/8 - t[9]/4 + (15*t[10])/4 - (29*t[11])/4 + 
       (17*t[12])/8 - (49*t[13])/144 - (61*t[14])/24 - (649*t[15])/288 - 
       t[20] + t[22] + t[27] - t[28] + t[29]/4 - t[30]/2 - (3*t[32])/4 + 
       t[34] - t[35] + t[37] + t[41]/2 - t[42]/2 - (41*t[44])/8 + t[47] + 
       (9*t[48])/8 - (3*t[49])/4 - (15*t[50])/8 + t[51]/8 + (15*t[52])/8 + 
       (3*t[53])/4 + (25*t[54])/4 + t[59]/2 - (23*t[60])/4 - (21*t[61])/8 + 
       (11*t[62])/16 - (167*t[63])/16 + (529*t[64])/16 - (127*t[65])/24 + 
       (25*t[66])/24 - t[69] + 2*t[73] + 2*t[74] - 6*t[75] + t[76] + 
       4*t[79] - t[80] - (3*t[81])/2 + (7*t[82])/2 + 8*t[83] + (11*t[84])/8 + 
       t[85]/8 + 12*t[86] + (33*t[87])/8 + (33*t[88])/16 + (7*t[89])/4 + 
       t[96] - 2*t[98] - 2*t[99] - 46*t[100]) + HPL[{0, 0, 0, 1}, 1 - w]*
      Phi6[u, v, w]*(-6*t[1] - (15*t[3])/4 + (89*t[4])/4 - (27*t[5])/8 - 
       (3*t[6])/4 + 7*t[7] + (5*t[8])/2 + (73*t[9])/8 + 9*t[10] + 
       (59*t[11])/4 + (51*t[12])/8 + (45*t[13])/8 + (205*t[14])/16 + 
       (53*t[15])/48 + 6*t[25] + t[28] + t[31] - t[35] + 2*t[36] - 6*t[38] + 
       t[46] + (7*t[48])/4 + (5*t[49])/4 + (9*t[50])/4 - (107*t[51])/16 - 
       (9*t[52])/4 - (11*t[53])/4 - 11*t[54] + 3*t[59] + (23*t[60])/2 + 
       (121*t[61])/4 - (223*t[62])/8 + (27*t[63])/8 + (377*t[64])/8 + 
       10*t[65] - 10*t[66] + 4*t[69] + 4*t[73] - t[74] + 9*t[75] + 3*t[79] - 
       4*t[80] + (3*t[81])/2 - (3*t[82])/2 + (5*t[83])/2 + 7*t[84] + 
       (19*t[85])/4 + 19*t[86] - (11*t[87])/4 + (5*t[88])/8 + (37*t[89])/4 + 
       2*t[95] - 26*t[99] - 38*t[100]) + HPL[{0, 0, 0, 1}, 1 - v]*
      Phi6[u, v, w]*((-111*t[2])/4 - (153*t[3])/8 - (11*t[4])/2 - 
       (227*t[5])/8 + (11*t[6])/2 + (23*t[7])/4 + (43*t[8])/4 + (45*t[9])/8 + 
       18*t[10] - (69*t[11])/4 + (19*t[12])/8 - (100*t[13])/9 + 
       (175*t[14])/24 - (815*t[15])/72 + 3*t[20] - 3*t[22] - 2*t[28] + 
       (11*t[29])/2 - 7*t[30] - (3*t[32])/2 + 5*t[33] - 2*t[34] + 5*t[35] - 
       2*t[36] + 4*t[37] + 2*t[41] - 2*t[42] + (5*t[44])/4 + t[46] + 
       4*t[47] + 7*t[48] + t[49] + (5*t[50])/2 + t[51]/4 - (5*t[52])/2 - 
       t[53] + (75*t[54])/4 + 3*t[59] + (23*t[60])/2 + (121*t[61])/4 - 
       (223*t[62])/8 + (27*t[63])/8 + (377*t[64])/8 + 10*t[65] - 10*t[66] + 
       4*t[69] + 4*t[73] - t[74] + 9*t[75] + 3*t[79] - 4*t[80] + 
       (3*t[81])/2 - (3*t[82])/2 + (5*t[83])/2 + 7*t[84] + (19*t[85])/4 + 
       19*t[86] - (11*t[87])/4 + (5*t[88])/8 + (37*t[89])/4 + 2*t[95] - 
       26*t[99] - 38*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*((-3*t[1])/4 - (3*t[2])/2 - t[3]/2 - 
       (13*t[4])/8 - t[5]/16 - (71*t[6])/16 + 4*t[7] - 5*t[8] - 
       (19*t[9])/16 + (49*t[10])/8 - (15*t[11])/16 + (23*t[12])/16 - 
       (55*t[13])/12 + (169*t[14])/96 + (283*t[15])/96 + t[25] - t[26]/2 - 
       t[28] - t[30] - t[31] - (3*t[36])/2 + t[37]/2 - t[38]/2 + t[39] + 
       t[43]/2 + 2*t[44] + t[45]/2 - t[46]/2 - t[47] - (43*t[48])/16 - 
       (5*t[49])/4 + (29*t[50])/16 + (25*t[51])/32 - (45*t[52])/16 - 
       (3*t[53])/2 - (39*t[54])/16 + (3*t[59])/4 + (43*t[60])/8 + 
       (97*t[61])/4 - (91*t[62])/4 - (11*t[63])/4 + (31*t[64])/8 + 
       (7*t[65])/8 - t[66]/24 + t[70] - t[71] + t[72] + t[73] + t[74]/2 - 
       4*t[75] - (3*t[76])/2 + t[77]/2 + (9*t[78])/2 + 2*t[79] - 
       (7*t[81])/4 + (5*t[82])/4 + 7*t[83] + (31*t[84])/8 - (21*t[85])/4 + 
       13*t[86] + (7*t[87])/2 + (25*t[88])/4 - (121*t[89])/16 - t[95] - 
       t[96] + t[97]/2 - 14*t[98] + 10*t[99] - 35*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (t[1]/4 - t[2]/8 - (211*t[3])/16 - (29*t[4])/8 - (49*t[5])/16 + 
       (31*t[6])/8 + (73*t[7])/8 + (71*t[8])/8 + (187*t[9])/16 - 
       (47*t[10])/16 + (47*t[11])/8 + (43*t[12])/8 - (13*t[13])/48 + 
       (965*t[14])/96 + (245*t[15])/72 + t[19] - t[20] - t[21] + t[23] - 
       2*t[24] - 2*t[28] - (3*t[29])/4 - t[30]/2 + (11*t[32])/4 - t[33]/2 - 
       t[34]/2 + 2*t[36] - t[37]/2 - t[40] - t[43]/4 + (3*t[44])/8 - 
       (3*t[46])/2 + (3*t[47])/2 + t[48]/4 - (29*t[49])/16 + (21*t[50])/4 + 
       (57*t[51])/32 - (19*t[52])/4 + (29*t[53])/16 + (3*t[54])/4 + 
       (3*t[59])/4 + (43*t[60])/8 + (97*t[61])/4 - (91*t[62])/4 - 
       (11*t[63])/4 + (31*t[64])/8 + (7*t[65])/8 - t[66]/24 + t[70] - t[71] + 
       t[72] + t[73] + t[74]/2 - 4*t[75] - (3*t[76])/2 + t[77]/2 + 
       (9*t[78])/2 + 2*t[79] - (7*t[81])/4 + (5*t[82])/4 + 7*t[83] + 
       (31*t[84])/8 - (21*t[85])/4 + 13*t[86] + (7*t[87])/2 + (25*t[88])/4 - 
       (121*t[89])/16 - t[95] - t[96] + t[97]/2 - 14*t[98] + 10*t[99] - 
       35*t[100]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - w]*
      (2*t[1] + (5*t[2])/4 + t[3] - 3*t[4] + (59*t[5])/4 - (181*t[6])/16 + 
       15*t[7] + (23*t[8])/4 - (19*t[9])/8 + t[10]/2 + (197*t[11])/16 + 
       (39*t[12])/4 - (67*t[13])/18 - (593*t[14])/48 + (367*t[15])/144 + 
       2*t[27] - 3*t[29] + t[30] + t[32] - t[33] - 2*t[34] + 2*t[35] + 
       t[36] + t[38] + 2*t[39] - t[40]/2 + t[41] - t[42] - 2*t[43] - 
       (3*t[44])/2 - t[46]/2 + t[47] + (53*t[48])/16 + t[50]/16 + 
       (21*t[51])/8 - (33*t[52])/16 + 4*t[53] - (141*t[54])/16 + t[59] - 
       (195*t[60])/8 + (199*t[61])/8 - (147*t[62])/16 - (301*t[63])/16 + 
       (435*t[64])/16 - (377*t[65])/24 + (113*t[66])/24 + 2*t[72] - t[73] - 
       2*t[75] - 2*t[77] + 2*t[79] - 4*t[80] - 8*t[81] + 15*t[82] + 
       18*t[83] - (125*t[84])/8 - (137*t[85])/8 + 2*t[86] + (241*t[87])/8 + 
       (241*t[88])/16 - (193*t[89])/16 + 6*t[96] + 4*t[97] - 28*t[98] + 
       48*t[99] - 34*t[100]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - v]*
      (2*t[1] + t[2]/2 - (15*t[3])/4 - (35*t[4])/8 + (49*t[5])/2 - 
       (23*t[6])/4 - (21*t[7])/2 + 20*t[8] - 32*t[9] + (67*t[10])/16 - 
       (5*t[11])/4 - (77*t[12])/16 - (37*t[13])/72 - (189*t[14])/32 + 
       (767*t[15])/144 + 2*t[27] - 4*t[28] + t[29]/4 - t[30] - 2*t[31] - 
       2*t[34] + 4*t[35] + t[38] - (9*t[39])/2 + 7*t[40] + t[41] - t[42] - 
       t[43] + (7*t[44])/2 + 4*t[45] + 2*t[46] - 8*t[47] + (17*t[48])/4 + 
       (173*t[49])/16 - (25*t[50])/4 - (209*t[51])/32 + (17*t[52])/4 - 
       (109*t[53])/16 - (13*t[54])/8 + t[59] - (195*t[60])/8 + 
       (199*t[61])/8 - (147*t[62])/16 - (301*t[63])/16 + (435*t[64])/16 - 
       (377*t[65])/24 + (113*t[66])/24 + 2*t[72] - t[73] - 2*t[75] - 
       2*t[77] + 2*t[79] - 4*t[80] - 8*t[81] + 15*t[82] + 18*t[83] - 
       (125*t[84])/8 - (137*t[85])/8 + 2*t[86] + (241*t[87])/8 + 
       (241*t[88])/16 - (193*t[89])/16 + 6*t[96] + 4*t[97] - 28*t[98] + 
       48*t[99] - 34*t[100]) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      (-t[2]/8 - (7*t[3])/4 + (37*t[4])/8 - (5*t[5])/16 + (7*t[6])/4 - 
       (11*t[8])/4 + (15*t[9])/16 + (25*t[10])/16 + (7*t[11])/2 - t[12]/2 + 
       (451*t[13])/144 + (409*t[14])/96 + (71*t[15])/96 - 3*t[28] - t[29]/2 - 
       t[31] + t[35] + t[36] - t[37]/2 + t[41]/4 - t[42]/4 - t[43]/2 + 
       (3*t[44])/2 - t[47]/2 - (5*t[48])/8 + (3*t[49])/16 + (5*t[50])/8 - 
       (3*t[51])/32 - (5*t[52])/8 - (3*t[53])/16 - t[54]/2 + t[59]/4 + 
       (51*t[60])/8 + (89*t[61])/8 + (43*t[62])/16 + (65*t[63])/16 - 
       (269*t[64])/16 - (25*t[65])/24 - (37*t[66])/8 + t[72]/2 + t[73]/2 - 
       (3*t[75])/2 + t[77]/2 + t[78] + (5*t[79])/2 - t[80] + t[81] - t[82] + 
       (13*t[83])/2 + (13*t[84])/8 - t[85]/8 - (23*t[86])/2 - (21*t[87])/8 - 
       (21*t[88])/16 - (3*t[89])/16 + 3*t[98] - (135*t[100])/4) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*(t[1]/4 - (13*t[3])/8 + 
       (3*t[4])/2 - (9*t[5])/16 + (39*t[6])/16 - (3*t[7])/4 + t[8]/2 + 
       (35*t[9])/16 + (31*t[10])/8 + (9*t[11])/16 - (25*t[12])/16 - 
       (113*t[13])/144 + (47*t[14])/8 + (83*t[15])/96 + t[28] - t[35]/2 + 
       3*t[36] + t[39] - t[40]/2 + t[45] + t[46]/4 - 2*t[47] + 
       (15*t[48])/16 - (3*t[49])/8 - (13*t[50])/16 - t[51]/4 + 
       (13*t[52])/16 + (3*t[53])/8 + (13*t[54])/16 + t[59]/4 + (51*t[60])/8 + 
       (89*t[61])/8 + (43*t[62])/16 + (65*t[63])/16 - (269*t[64])/16 - 
       (25*t[65])/24 - (37*t[66])/8 + t[72]/2 + t[73]/2 - (3*t[75])/2 + 
       t[77]/2 + t[78] + (5*t[79])/2 - t[80] + t[81] - t[82] + (13*t[83])/2 + 
       (13*t[84])/8 - t[85]/8 - (23*t[86])/2 - (21*t[87])/8 - (21*t[88])/16 - 
       (3*t[89])/16 + 3*t[98] - (135*t[100])/4) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      (-12*t[2] - (81*t[3])/16 + (25*t[4])/4 - 2*t[5] + (9*t[6])/8 - 
       (81*t[7])/8 - (29*t[8])/8 - (39*t[9])/4 + (43*t[10])/8 + 
       (59*t[11])/8 + 2*t[12] + (341*t[13])/48 - (17*t[14])/16 - 
       (1403*t[15])/288 + 2*t[20] - 2*t[22] + 2*t[28] + (3*t[29])/4 - 
       t[30]/2 - (9*t[32])/4 + 4*t[33] - t[34] + 2*t[35] - t[36] + 2*t[37] + 
       t[41] - t[42] - t[43]/2 + t[44]/8 + 2*t[47] + (17*t[48])/4 - t[49]/8 - 
       (13*t[50])/4 + t[51]/16 + (13*t[52])/4 + t[53]/8 + (13*t[54])/8 + 
       t[59]/2 + (21*t[60])/2 + (151*t[61])/8 + (5*t[62])/16 + 
       (23*t[63])/16 + (189*t[64])/16 + (25*t[65])/8 - (553*t[66])/24 + 
       2*t[69] + 2*t[73] - t[74] + 4*t[75] + t[77] + t[78] + 2*t[79] - 
       4*t[80] + (3*t[81])/2 - (3*t[82])/2 - 9*t[83] + (11*t[84])/8 - 
       (19*t[85])/8 - 14*t[86] - (59*t[87])/8 - (75*t[88])/16 + 
       (31*t[89])/8 + 2*t[95] - 12*t[99] - 33*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      (-t[1] - (19*t[3])/4 + (27*t[4])/8 - (29*t[5])/8 + (23*t[6])/4 + 
       (5*t[7])/4 + (35*t[8])/4 + (75*t[9])/8 - t[10]/2 + (37*t[11])/8 + 
       (9*t[12])/2 + (361*t[13])/72 + (363*t[14])/32 + (161*t[15])/48 + 
       4*t[25] - 3*t[26] + t[28] + t[31] - t[35] + t[36] - t[38] + t[39] - 
       t[40] + t[45] + (3*t[46])/2 - 2*t[47] + (13*t[48])/4 - (17*t[49])/8 - 
       (13*t[50])/4 - (15*t[51])/32 + (13*t[52])/4 + (23*t[53])/8 + 
       (45*t[54])/8 + t[59]/2 + (21*t[60])/2 + (151*t[61])/8 + (5*t[62])/16 + 
       (23*t[63])/16 + (189*t[64])/16 + (25*t[65])/8 - (553*t[66])/24 + 
       2*t[69] + 2*t[73] - t[74] + 4*t[75] + t[77] + t[78] + 2*t[79] - 
       4*t[80] + (3*t[81])/2 - (3*t[82])/2 - 9*t[83] + (11*t[84])/8 - 
       (19*t[85])/8 - 14*t[86] - (59*t[87])/8 - (75*t[88])/16 + 
       (31*t[89])/8 + 2*t[95] - 12*t[99] - 33*t[100]) + 
     HPL[{0, 0, 1, 1}, 1 - v]*Phi6[u, v, w]*((-5*t[1])/2 - (41*t[2])/4 + 
       (67*t[3])/8 + (47*t[4])/8 + (37*t[5])/16 + (179*t[6])/16 + 
       (137*t[7])/8 - (303*t[8])/8 + (233*t[9])/16 - (141*t[10])/16 + 
       (245*t[11])/16 - (3*t[12])/2 + (91*t[13])/16 + (151*t[14])/96 + 
       (131*t[15])/96 + 6*t[28] + t[29] - t[30] + 2*t[31] - t[32] + t[33] + 
       2*t[34] - 6*t[35] - t[36] - t[38] + 4*t[39] - (13*t[40])/2 - t[41] + 
       t[42] + t[43]/4 - (3*t[44])/2 - (9*t[45])/2 - (5*t[46])/2 + 8*t[47] - 
       t[48]/16 - (157*t[49])/16 + (115*t[50])/16 + (197*t[51])/32 - 
       (83*t[52])/16 + (93*t[53])/16 - (105*t[54])/16 - 2*t[59] + 14*t[60] - 
       6*t[61] + 21*t[62] + 31*t[63] - (255*t[64])/4 - (5*t[65])/2 + 
       (83*t[66])/6 - 2*t[73] + 4*t[76] + 3*t[77] - 10*t[78] + 10*t[79] + 
       4*t[80] + t[81] + 4*t[82] - 26*t[83] + (59*t[84])/4 + (73*t[85])/4 - 
       42*t[86] - (101*t[87])/4 - (101*t[88])/8 + (41*t[89])/4 - 6*t[96] - 
       4*t[97] + 76*t[98] - 120*t[99] - 32*t[100]) + 
     HPL[{0, 0, 1, 1}, 1 - w]*Phi6[u, v, w]*((-5*t[1])/2 - (41*t[2])/4 - 
       (37*t[3])/8 - (45*t[4])/8 - (227*t[5])/16 + (315*t[6])/16 - 
       (55*t[7])/8 + (17*t[8])/8 - (119*t[9])/16 - (129*t[10])/16 - 
       (251*t[11])/16 - (19*t[12])/4 - (45*t[13])/16 + (2203*t[14])/96 + 
       (1057*t[15])/288 + 3*t[29] - 5*t[30] + 2*t[31] - t[32] + t[33] + 
       2*t[34] - 6*t[35] + t[36] - t[38] + t[40]/2 - t[41] + t[42] + 
       (9*t[43])/4 + (7*t[44])/2 - t[45]/2 + t[46]/2 - (81*t[48])/16 - 
       (137*t[49])/16 - (29*t[50])/16 + (33*t[51])/32 + (61*t[52])/16 + 
       (73*t[53])/16 + (351*t[54])/16 - 2*t[59] + 14*t[60] - 6*t[61] + 
       21*t[62] + 31*t[63] - (255*t[64])/4 - (5*t[65])/2 + (83*t[66])/6 - 
       2*t[73] + 4*t[76] + 3*t[77] - 10*t[78] + 10*t[79] + 4*t[80] + t[81] + 
       4*t[82] - 26*t[83] + (59*t[84])/4 + (73*t[85])/4 - 42*t[86] - 
       (101*t[87])/4 - (101*t[88])/8 + (41*t[89])/4 - 6*t[96] - 4*t[97] + 
       76*t[98] - 120*t[99] - 32*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*Phi6[u, v, w]*(t[1]/2 + (9*t[2])/8 - (5*t[3])/4 - 
       (27*t[4])/8 - (7*t[5])/2 - (17*t[6])/4 + (55*t[7])/8 - (97*t[8])/8 + 
       (11*t[9])/8 - (77*t[10])/16 + (59*t[11])/8 + (19*t[12])/16 + 
       (59*t[13])/144 + (81*t[14])/32 + t[15]/3 + t[20]/2 + t[28]/2 - 
       t[29]/2 - t[32]/2 + t[33] + t[34]/2 - (3*t[35])/2 - 2*t[36] - t[37] + 
       t[43]/2 + (3*t[44])/2 + t[46]/2 - (29*t[48])/8 - (21*t[49])/16 + 
       (29*t[50])/8 + (9*t[51])/32 - (29*t[52])/8 + (21*t[53])/16 - 4*t[54] - 
       t[59]/2 + (19*t[60])/4 + (39*t[61])/2 - (51*t[62])/8 - (19*t[63])/8 - 
       (7*t[64])/8 - (215*t[65])/24 - (39*t[66])/4 - (3*t[69])/2 + t[70] - 
       t[71] + t[72] - (3*t[73])/2 + (3*t[74])/2 + (17*t[75])/2 + t[76] + 
       t[77]/2 + t[78] + (5*t[79])/2 + t[80] - t[81]/4 + t[82]/4 - 
       (7*t[83])/2 + t[84]/2 - (7*t[85])/8 + 7*t[86] - (25*t[87])/8 - 
       (25*t[88])/16 - (37*t[89])/4 - 2*t[98] + 5*t[99] - (61*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (t[2]/4 - (5*t[3])/4 + (3*t[4])/2 + (31*t[5])/16 + (63*t[6])/16 + 
       (5*t[7])/2 + (31*t[8])/4 + (21*t[9])/16 + (7*t[10])/2 + 
       (73*t[11])/16 - (21*t[12])/16 - (11*t[13])/18 + (223*t[14])/24 + 
       (33*t[15])/32 + t[20] + t[21] - t[23] + 2*t[28] + t[31] + t[33] - 
       t[35] - (5*t[36])/2 - t[37]/2 + t[39] - t[40] + t[41]/2 - t[42]/2 - 
       t[47] + (11*t[48])/16 + t[49]/2 + (3*t[50])/16 - (3*t[51])/4 + 
       (13*t[52])/16 - t[53]/2 - (3*t[54])/16 - t[59]/2 + (19*t[60])/4 + 
       (39*t[61])/2 - (51*t[62])/8 - (19*t[63])/8 - (7*t[64])/8 - 
       (215*t[65])/24 - (39*t[66])/4 - (3*t[69])/2 + t[70] - t[71] + t[72] - 
       (3*t[73])/2 + (3*t[74])/2 + (17*t[75])/2 + t[76] + t[77]/2 + t[78] + 
       (5*t[79])/2 + t[80] - t[81]/4 + t[82]/4 - (7*t[83])/2 + t[84]/2 - 
       (7*t[85])/8 + 7*t[86] - (25*t[87])/8 - (25*t[88])/16 - (37*t[89])/4 - 
       2*t[98] + 5*t[99] - (61*t[100])/2) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*(-t[1]/2 + (9*t[2])/4 - t[3]/2 + 
       (3*t[4])/16 - (11*t[5])/16 + (75*t[6])/16 + (9*t[7])/4 + (9*t[8])/2 + 
       (93*t[9])/16 - (201*t[10])/32 + (61*t[11])/16 + (121*t[12])/32 + 
       (515*t[13])/72 + (341*t[14])/192 + (187*t[15])/48 + t[25] - t[26]/2 + 
       t[28]/2 - t[29]/2 + t[31] - t[36]/2 - t[37]/2 - t[38]/2 + t[39] - 
       t[40] - t[41]/4 + t[42]/4 + t[44] + t[45] + t[46] - (5*t[47])/2 + 
       (23*t[48])/16 - (107*t[49])/32 - (29*t[50])/16 + (43*t[51])/64 + 
       (29*t[52])/16 + (99*t[53])/32 + (17*t[54])/8 + t[59]/4 + 
       (111*t[60])/16 + (151*t[61])/16 + (295*t[62])/32 - (351*t[63])/32 - 
       (209*t[64])/32 + (239*t[65])/48 - (503*t[66])/48 + t[69] + t[74]/2 + 
       2*t[75] + t[77] + t[78] + t[79] - 2*t[80] + t[81]/4 - (3*t[82])/4 - 
       (13*t[83])/2 + (31*t[84])/16 + t[85]/16 - 9*t[86] - (79*t[87])/16 - 
       (79*t[88])/32 + (141*t[89])/32 + t[99] - 28*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-27*t[2])/8 - (55*t[3])/16 + (43*t[4])/8 - (3*t[5])/16 + 
       (195*t[6])/32 - (39*t[7])/4 + (51*t[8])/4 - (37*t[9])/8 - 
       (3*t[10])/16 + (65*t[11])/32 + (59*t[13])/12 + (2*t[14])/3 - 
       (113*t[15])/288 + t[20]/2 - t[22]/2 + (3*t[28])/2 + t[29]/2 - 
       t[30]/4 - t[31]/2 - (5*t[32])/4 + (7*t[33])/4 - t[34]/2 + t[35] + 
       t[37]/2 + t[41]/4 - t[42]/4 - t[43]/2 - (5*t[44])/2 - t[46]/4 + 
       t[47]/2 + (189*t[48])/32 + (3*t[49])/16 - (179*t[50])/32 - 
       (9*t[51])/32 + (179*t[52])/32 - (3*t[53])/16 + (127*t[54])/32 + 
       t[59]/4 + (111*t[60])/16 + (151*t[61])/16 + (295*t[62])/32 - 
       (351*t[63])/32 - (209*t[64])/32 + (239*t[65])/48 - (503*t[66])/48 + 
       t[69] + t[74]/2 + 2*t[75] + t[77] + t[78] + t[79] - 2*t[80] + 
       t[81]/4 - (3*t[82])/4 - (13*t[83])/2 + (31*t[84])/16 + t[85]/16 - 
       9*t[86] - (79*t[87])/16 - (79*t[88])/32 + (141*t[89])/32 + t[99] - 
       28*t[100]) + F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (t[1]/2 + (9*t[2])/4 + (17*t[3])/4 - (107*t[4])/16 + (37*t[5])/4 - 
       (17*t[6])/8 - (9*t[7])/2 - (3*t[8])/2 - (35*t[9])/4 - (145*t[10])/32 - 
       (37*t[11])/8 + (39*t[12])/32 + (83*t[13])/48 - (2737*t[14])/192 - 
       (13*t[15])/96 - 2*t[25] + (3*t[26])/2 + t[27] - t[28] + t[30] + 
       t[38]/2 - t[44] - (3*t[46])/4 - (13*t[48])/8 - (63*t[49])/32 + 
       (11*t[50])/8 + (61*t[51])/64 - (11*t[52])/8 + (47*t[53])/32 - 
       (51*t[54])/16 - t[59]/4 - (259*t[60])/16 - (221*t[61])/16 + 
       (383*t[62])/32 - (279*t[63])/32 + (331*t[64])/32 - (73*t[65])/16 + 
       (1051*t[66])/48 - t[69] + t[74] - 6*t[75] + t[76] + t[79] + t[80] - 
       3*t[81] + (9*t[82])/2 + 9*t[83] - (27*t[84])/16 - (15*t[85])/16 + 
       9*t[86] + (133*t[87])/16 + (165*t[88])/32 - (29*t[89])/32 - 2*t[95] + 
       t[96] - 2*t[98] + 14*t[99] - 27*t[100]) + F1[v, w, u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((33*t[2])/4 + (27*t[3])/8 - t[4]/4 + (49*t[5])/8 + 
       (71*t[6])/32 - (19*t[7])/8 + (151*t[8])/8 - (91*t[9])/16 - 
       (61*t[10])/8 - (295*t[11])/32 - (21*t[12])/8 - (271*t[13])/72 - 
       (235*t[14])/32 + (353*t[15])/96 - t[20] + t[22] + t[27] - t[28] + 
       t[29]/4 + (5*t[30])/4 + t[32] - (7*t[33])/4 + t[34]/2 + t[35] - 
       t[37] - t[41]/2 + t[42]/2 - (13*t[44])/8 + t[46]/2 - t[47] + 
       (93*t[48])/32 + (17*t[49])/8 - (75*t[50])/32 - (23*t[51])/16 + 
       (75*t[52])/32 - (17*t[53])/8 + (47*t[54])/32 - t[59]/4 - 
       (259*t[60])/16 - (221*t[61])/16 + (383*t[62])/32 - (279*t[63])/32 + 
       (331*t[64])/32 - (73*t[65])/16 + (1051*t[66])/48 - t[69] + t[74] - 
       6*t[75] + t[76] + t[79] + t[80] - 3*t[81] + (9*t[82])/2 + 9*t[83] - 
       (27*t[84])/16 - (15*t[85])/16 + 9*t[86] + (133*t[87])/16 + 
       (165*t[88])/32 - (29*t[89])/32 - 2*t[95] + t[96] - 2*t[98] + 
       14*t[99] - 27*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*((5*t[1])/4 + (23*t[2])/8 - (35*t[3])/16 + 
       (157*t[4])/16 + (35*t[5])/32 + (9*t[6])/32 + (95*t[7])/16 - 
       (113*t[8])/16 + (335*t[9])/32 + (161*t[10])/32 + (335*t[11])/32 - 
       (17*t[12])/8 - (27*t[13])/32 + (1239*t[14])/64 - (121*t[15])/576 - 
       2*t[27] + t[28] + t[29]/2 + t[30]/2 + t[31] + t[32]/2 - t[33]/2 - 
       t[34] + 3*t[35] - (5*t[36])/2 + t[38]/2 + 2*t[39] - t[40]/4 + 
       t[41]/2 - t[42]/2 + (3*t[43])/8 + t[44]/4 + (5*t[45])/4 - t[46]/4 - 
       2*t[47] - (75*t[48])/32 + (297*t[49])/32 + t[50]/32 - (249*t[51])/64 - 
       (33*t[52])/32 - (233*t[53])/32 - (211*t[54])/32 + t[59] + 
       (57*t[60])/4 + (177*t[61])/4 - (71*t[62])/8 + (119*t[63])/8 - 
       (93*t[64])/4 - (105*t[65])/4 - (211*t[66])/12 + 7*t[75] + 4*t[76] + 
       t[77]/2 - 3*t[78] - 7*t[79] - 2*t[80] + 2*t[81] - (17*t[82])/2 + 
       t[83]/2 - (27*t[84])/8 - (43*t[85])/8 - 9*t[86] - (161*t[87])/8 - 
       (161*t[88])/16 - (23*t[89])/2 + 3*t[96] + 2*t[97] + 10*t[98] + 
       14*t[99] - (53*t[100])/2) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*((5*t[1])/4 + (35*t[2])/8 - (71*t[3])/16 + 
       (205*t[4])/16 - (61*t[5])/32 + (37*t[6])/32 + (55*t[7])/16 + 
       (47*t[8])/16 + (7*t[9])/32 + (257*t[10])/32 + (347*t[11])/32 - 
       (29*t[12])/8 - (25*t[13])/96 + (1279*t[14])/64 + (493*t[15])/192 - 
       2*t[27] + t[28] + t[29]/2 + (5*t[30])/2 + t[31] + t[32]/2 - t[33]/2 - 
       t[34] - t[35] + t[36]/2 + t[38]/2 + (3*t[40])/4 + t[41]/2 - t[42]/2 + 
       (3*t[43])/8 - (7*t[44])/4 + (5*t[45])/4 - t[46]/4 - 2*t[47] - 
       (103*t[48])/32 + (265*t[49])/32 + (5*t[50])/32 - (265*t[51])/64 - 
       (37*t[52])/32 - (201*t[53])/32 - (167*t[54])/32 + t[59] + 
       (57*t[60])/4 + (177*t[61])/4 - (71*t[62])/8 + (119*t[63])/8 - 
       (93*t[64])/4 - (105*t[65])/4 - (211*t[66])/12 + 7*t[75] + 4*t[76] + 
       t[77]/2 - 3*t[78] - 7*t[79] - 2*t[80] + 2*t[81] - (17*t[82])/2 + 
       t[83]/2 - (27*t[84])/8 - (43*t[85])/8 - 9*t[86] - (161*t[87])/8 - 
       (161*t[88])/16 - (23*t[89])/2 + 3*t[96] + 2*t[97] + 10*t[98] + 
       14*t[99] - (53*t[100])/2) + F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*((-3*t[1])/4 - (3*t[2])/2 - t[3]/4 - (3*t[4])/8 + 
       (49*t[5])/16 - (35*t[6])/16 + (11*t[7])/4 - (3*t[8])/4 + 
       (31*t[9])/16 + (7*t[10])/4 - (3*t[11])/16 + (15*t[12])/16 - 
       (23*t[13])/12 + (283*t[14])/96 + (65*t[15])/96 + t[25] - t[26]/2 + 
       t[28] - t[30] - t[31] - t[36]/2 + t[37]/2 - t[38]/2 + t[39] + 
       t[43]/2 - t[44] + t[45]/2 - t[46] - t[47] - (3*t[48])/16 - 
       (5*t[49])/8 - (11*t[50])/16 + (3*t[51])/32 - (5*t[52])/16 - 
       (17*t[53])/8 - (43*t[54])/16 + (3*t[59])/4 + (75*t[60])/8 + 
       (85*t[61])/4 - (129*t[62])/8 - (71*t[63])/8 + (17*t[64])/8 + 
       (11*t[65])/24 - (57*t[66])/8 + t[70] - t[71] + t[72] + t[73] + 
       t[74]/2 - 3*t[75] - (3*t[76])/2 + t[77]/2 + (9*t[78])/2 + t[79] - 
       (3*t[81])/4 + t[82]/4 + (17*t[83])/2 + (31*t[84])/8 - (13*t[85])/4 + 
       12*t[86] - t[87]/2 + (17*t[88])/4 - (53*t[89])/16 - t[95] - t[96] + 
       t[97]/2 - 14*t[98] + 12*t[99] - 26*t[100]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*(t[1]/4 - t[2]/8 - 
       (207*t[3])/16 + (15*t[4])/8 - (87*t[5])/16 + (33*t[6])/8 + 
       (71*t[7])/8 + (113*t[8])/8 + (189*t[9])/16 - (39*t[10])/16 + 
       (71*t[11])/8 + (19*t[12])/4 + (53*t[13])/16 + (299*t[14])/32 + 
       (457*t[15])/144 + t[19] - t[20] - t[21] + t[23] - 2*t[24] - 3*t[28] - 
       (3*t[29])/4 - t[30]/2 + (11*t[32])/4 - t[33]/2 - t[34]/2 - t[37]/2 - 
       t[40] - t[43]/4 + (3*t[44])/8 + (3*t[47])/2 + t[48]/4 - 
       (17*t[49])/16 + (13*t[50])/4 + (25*t[51])/32 - (11*t[52])/4 + 
       (17*t[53])/16 + (11*t[54])/4 + (3*t[59])/4 + (75*t[60])/8 + 
       (85*t[61])/4 - (129*t[62])/8 - (71*t[63])/8 + (17*t[64])/8 + 
       (11*t[65])/24 - (57*t[66])/8 + t[70] - t[71] + t[72] + t[73] + 
       t[74]/2 - 3*t[75] - (3*t[76])/2 + t[77]/2 + (9*t[78])/2 + t[79] - 
       (3*t[81])/4 + t[82]/4 + (17*t[83])/2 + (31*t[84])/8 - (13*t[85])/4 + 
       12*t[86] - t[87]/2 + (17*t[88])/4 - (53*t[89])/16 - t[95] - t[96] + 
       t[97]/2 - 14*t[98] + 12*t[99] - 26*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[w, u, v]*((-3*t[2])/2 - (7*t[3])/2 + 
       2*t[4] - (39*t[5])/4 + (11*t[6])/8 + 2*t[7] + 7*t[8] + (25*t[9])/4 + 
       3*t[10] + (43*t[11])/8 + (3*t[12])/2 + (3*t[13])/2 + (107*t[14])/12 - 
       (3*t[15])/8 - t[27] - 2*t[28] + t[35] + t[36] - t[44] - t[46]/2 + 
       (3*t[48])/8 - t[49]/2 - (5*t[50])/8 + (3*t[51])/8 + (5*t[52])/8 + 
       t[53]/2 + (21*t[54])/8 + (17*t[60])/2 + (27*t[61])/2 - 24*t[62] - 
       t[63] + (35*t[64])/4 + (7*t[65])/6 - (125*t[66])/6 - 4*t[73] + 
       2*t[75] - 2*t[76] + 4*t[79] + t[81] - 5*t[82] + 8*t[83] + t[84] + 
       t[85]/2 + 12*t[86] - t[87]/2 - t[88]/4 + (13*t[89])/4 - 4*t[98] + 
       20*t[99] - 26*t[100]) + HPL[{0, 1}, 1 - u]*K1[w, u, v]*
      ((-3*t[2])/2 + (3*t[3])/4 - (11*t[4])/4 - (79*t[5])/8 - (35*t[6])/8 + 
       (19*t[7])/4 + (53*t[8])/4 - (7*t[9])/8 - (27*t[10])/8 + (19*t[11])/8 + 
       (17*t[12])/4 - (21*t[13])/8 - (275*t[14])/48 - (27*t[15])/16 + t[27] - 
       2*t[28] + t[30] + 2*t[35] - t[44] + (5*t[48])/8 - (7*t[49])/8 - 
       (7*t[50])/8 + (3*t[51])/16 + (7*t[52])/8 + (7*t[53])/8 + 
       (21*t[54])/8 - 12*t[60] - 4*t[61] - 36*t[62] - 7*t[63] + 
       (95*t[64])/2 + 5*t[65] - 7*t[66] - 4*t[73] - 2*t[75] - 3*t[76] + 
       2*t[79] - 2*t[81] + 2*t[82] + 14*t[83] - (3*t[84])/2 - (3*t[85])/2 + 
       46*t[86] + (17*t[87])/2 + (17*t[88])/4 - t[89] + t[96] - 10*t[98] + 
       14*t[99] - 23*t[100]) + H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      ((-3*t[5])/4 + (3*t[7])/2 + (3*t[8])/2 + (3*t[9])/4 - (3*t[10])/2 + 
       (3*t[11])/2 + (3*t[12])/4 + t[14]/4 + (5*t[15])/24 - t[28] - t[31]/2 + 
       t[35]/2 + t[36]/2 + 3*t[61] - (9*t[62])/2 - (3*t[63])/2 + 
       (9*t[64])/2 - t[65]/3 - 3*t[66] + t[75]/2 + (3*t[83])/4 + 6*t[86] - 
       (3*t[89])/2 + 3*t[99] - (45*t[100])/2) + H1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*((-3*t[5])/4 + (3*t[7])/2 + (3*t[8])/2 + (3*t[9])/4 - 
       (3*t[10])/2 + (3*t[11])/2 + (3*t[12])/4 - t[14]/4 - t[15]/8 + 
       (3*t[35])/2 + (3*t[36])/2 + 3*t[61] - (9*t[62])/2 - (3*t[63])/2 + 
       (9*t[64])/2 - t[65]/3 - 3*t[66] + t[75]/2 + (3*t[83])/4 + 6*t[86] - 
       (3*t[89])/2 + 3*t[99] - (45*t[100])/2) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*Phi6[u, v, w]*(t[2] + (3*t[3])/16 - (5*t[4])/8 + 
       (3*t[5])/16 + (13*t[6])/16 + (25*t[7])/8 + (21*t[8])/4 - (5*t[9])/2 - 
       (85*t[10])/16 + (93*t[11])/16 + t[12]/16 + (49*t[13])/36 + 
       (3*t[14])/16 + (55*t[15])/288 + (3*t[36])/4 + t[43]/2 + t[46]/8 + 
       t[48]/8 + (3*t[49])/16 - t[50]/8 + t[52]/8 - (3*t[53])/16 - 
       (5*t[54])/8 - t[60]/4 + (35*t[61])/4 - (69*t[62])/8 - (23*t[63])/8 + 
       (121*t[64])/8 - (8*t[65])/3 - (19*t[66])/2 + t[72] + t[73] - 3*t[75] - 
       t[77] - t[78] + t[79] + 2*t[80] + t[81]/2 - t[82]/2 + (7*t[83])/2 + 
       (3*t[85])/4 + 13*t[86] + t[87]/4 + t[88]/8 - (29*t[89])/8 + 6*t[98] - 
       6*t[99] - 21*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      Phi6[u, v, w]*((-3*t[3])/16 - (5*t[4])/8 - (55*t[5])/16 - (3*t[6])/16 + 
       (23*t[7])/8 + (15*t[8])/4 + 4*t[9] - (153*t[10])/16 + (97*t[11])/16 + 
       (45*t[12])/16 + (19*t[13])/36 + (4*t[14])/3 - (121*t[15])/96 - 
       2*t[28] - t[31] + 2*t[35] - (3*t[36])/4 - t[39] + t[40] - t[45] - 
       t[46]/8 + 2*t[47] - (5*t[49])/16 - (3*t[50])/4 + t[51]/16 + 
       (3*t[52])/4 + (5*t[53])/16 + (3*t[54])/4 - t[60]/4 + (35*t[61])/4 - 
       (69*t[62])/8 - (23*t[63])/8 + (121*t[64])/8 - (8*t[65])/3 - 
       (19*t[66])/2 + t[72] + t[73] - 3*t[75] - t[77] - t[78] + t[79] + 
       2*t[80] + t[81]/2 - t[82]/2 + (7*t[83])/2 + (3*t[85])/4 + 13*t[86] + 
       t[87]/4 + t[88]/8 - (29*t[89])/8 + 6*t[98] - 6*t[99] - 21*t[100]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*((3*t[2])/4 - (5*t[4])/4 + 
       t[6]/2 + (13*t[7])/4 + (17*t[8])/4 - (7*t[9])/4 - (49*t[10])/8 + 
       (23*t[11])/4 + (3*t[12])/8 + (43*t[13])/36 + (5*t[14])/16 + t[15]/4 + 
       t[36] + t[43]/2 - t[49]/8 + t[51]/16 + t[53]/8 - (3*t[54])/4 - 
       t[60]/4 + (35*t[61])/4 - (69*t[62])/8 - (23*t[63])/8 + (117*t[64])/8 - 
       (7*t[65])/3 - (19*t[66])/2 + t[72] + t[73] - 3*t[75] - t[77] - t[78] + 
       t[79] + 2*t[80] + t[81]/2 - t[82]/2 + (11*t[83])/2 + (3*t[85])/4 + 
       13*t[86] + t[87]/4 + t[88]/8 - (29*t[89])/8 + 6*t[98] - 6*t[99] - 
       21*t[100]) + F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      ((-13*t[5])/4 + t[6]/8 + (11*t[7])/4 + (19*t[8])/4 + (13*t[9])/4 - 
       (35*t[10])/4 + (49*t[11])/8 + (5*t[12])/2 + (25*t[13])/36 + 
       (29*t[14])/24 - (31*t[15])/24 - 2*t[28] - t[31] + 2*t[35] - t[36] - 
       t[39] + t[40] - t[45] + 2*t[47] + t[48]/8 - (7*t[50])/8 + 
       (7*t[52])/8 + (7*t[54])/8 - t[60]/4 + (35*t[61])/4 - (69*t[62])/8 - 
       (23*t[63])/8 + (117*t[64])/8 - (7*t[65])/3 - (19*t[66])/2 + t[72] + 
       t[73] - 3*t[75] - t[77] - t[78] + t[79] + 2*t[80] + t[81]/2 - 
       t[82]/2 + (11*t[83])/2 + (3*t[85])/4 + 13*t[86] + t[87]/4 + t[88]/8 - 
       (29*t[89])/8 + 6*t[98] - 6*t[99] - 21*t[100]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (t[1]/2 - (3*t[2])/4 - (5*t[3])/4 + (9*t[4])/4 - (15*t[5])/4 - 
       (7*t[6])/2 + (15*t[7])/2 - 10*t[8] + 3*t[9] - (37*t[10])/8 + 7*t[11] - 
       (13*t[12])/8 + t[13]/72 + (57*t[14])/16 + (3*t[15])/4 - 4*t[36] - 
       t[37] + t[43]/2 + t[44] + t[46]/2 - (13*t[48])/4 + (13*t[49])/8 + 
       (13*t[50])/4 - (15*t[51])/16 - (13*t[52])/4 - (13*t[53])/8 - 
       (7*t[54])/2 + (45*t[60])/4 + (67*t[61])/4 - (9*t[62])/2 - 
       (11*t[63])/2 - (111*t[64])/8 - (49*t[65])/3 - (161*t[66])/12 + t[72] - 
       2*t[73] + t[74] + 7*t[75] + t[76] + t[77]/2 + t[78] + t[80] - t[83] + 
       t[84]/2 - t[85]/2 + 5*t[86] - (17*t[87])/2 - (17*t[88])/4 - 
       (75*t[89])/8 - 2*t[98] + 6*t[99] - (37*t[100])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (t[2]/4 - (5*t[3])/4 + 5*t[4] + (23*t[5])/8 + (11*t[6])/4 + 
       (19*t[7])/4 + (3*t[8])/2 + (55*t[9])/8 + (11*t[10])/4 + (31*t[11])/4 - 
       t[12]/8 + (89*t[13])/36 + (35*t[14])/3 - (17*t[15])/48 + t[20] + 
       t[21] - t[23] + 3*t[28] + t[31] + t[33] - t[35] - 2*t[36] + t[39] - 
       t[40] + t[41]/2 - t[42]/2 - t[44] - t[46]/2 - t[47] - (3*t[48])/4 + 
       t[49] + (5*t[50])/4 - (3*t[51])/8 - t[52]/4 - t[53] - (11*t[54])/4 + 
       (45*t[60])/4 + (67*t[61])/4 - (9*t[62])/2 - (11*t[63])/2 - 
       (111*t[64])/8 - (49*t[65])/3 - (161*t[66])/12 + t[72] - 2*t[73] + 
       t[74] + 7*t[75] + t[76] + t[77]/2 + t[78] + t[80] - t[83] + t[84]/2 - 
       t[85]/2 + 5*t[86] - (17*t[87])/2 - (17*t[88])/4 - (75*t[89])/8 - 
       2*t[98] + 6*t[99] - (37*t[100])/2) + F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*(t[3]/4 - t[4] + t[5]/2 + t[7]/8 - (3*t[8])/8 - 
       (3*t[9])/4 + (9*t[10])/8 + t[11]/2 - (5*t[12])/4 - (17*t[13])/24 + 
       (37*t[14])/48 - t[15]/6 - t[36] - t[37]/2 + t[46]/4 + t[50]/2 - 
       (7*t[51])/16 - t[52]/2 - t[54]/2 - t[59]/2 + t[60] + t[61]/2 - 
       (5*t[62])/2 + t[63]/2 - (25*t[65])/12 - t[66]/4 - (3*t[69])/2 + 
       t[70] - t[71] - t[73] + t[74]/2 + 5*t[75] + (3*t[79])/2 - t[81]/2 + 
       t[82]/2 - 5*t[83] - t[84]/4 - t[85]/2 + (3*t[86])/2 - t[87] - 
       t[88]/4 - 2*t[89] - (33*t[100])/2) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*((15*t[2])/8 + t[3] - t[4] - t[5]/4 - (5*t[6])/4 + 
       (21*t[7])/8 - (45*t[8])/8 + (3*t[9])/8 + t[10]/8 + t[11]/4 + t[12]/8 - 
       (13*t[13])/12 + (3*t[14])/8 - (89*t[15])/144 + t[20]/2 + t[28] - 
       t[32]/2 + t[33] + t[34]/2 - (3*t[35])/2 + t[44] - t[48] - t[49]/4 + 
       t[50] + t[51]/8 - t[52] + t[53]/4 - t[54]/2 - t[59]/2 + t[60] + 
       t[61]/2 - (5*t[62])/2 + t[63]/2 - (25*t[65])/12 - t[66]/4 - 
       (3*t[69])/2 + t[70] - t[71] - t[73] + t[74]/2 + 5*t[75] + 
       (3*t[79])/2 - t[81]/2 + t[82]/2 - 5*t[83] - t[84]/4 - t[85]/2 + 
       (3*t[86])/2 - t[87] - t[88]/4 - 2*t[89] - (33*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*
      (-t[2]/8 - (3*t[3])/2 + (33*t[4])/8 - (7*t[5])/8 + (9*t[6])/4 - 
       (9*t[7])/8 + (3*t[8])/8 + (25*t[10])/16 + (19*t[11])/8 - 
       (5*t[12])/16 + (185*t[13])/72 + (373*t[14])/96 + (41*t[15])/48 - 
       t[28] - t[31]/2 + t[35]/2 + t[36]/2 - t[37]/2 + t[41]/4 - t[42]/4 - 
       t[43]/2 - t[47]/2 + t[49]/16 - t[51]/32 - t[53]/16 + (3*t[54])/8 + 
       t[59]/4 + (49*t[60])/8 + (75*t[61])/8 + (53*t[62])/16 + 
       (55*t[63])/16 - (241*t[64])/16 - (5*t[65])/6 - (31*t[66])/12 + 
       t[72]/2 + t[75]/2 + t[77]/2 + t[78] - t[79]/2 - t[80] + (3*t[81])/4 - 
       (3*t[82])/4 - (7*t[83])/4 + (3*t[84])/2 - (3*t[85])/8 - (21*t[86])/2 - 
       (25*t[87])/8 - (25*t[88])/16 + t[89]/16 + 3*t[98] - 3*t[99] - 
       (33*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Phi6[u, v, w]*
      (t[1]/4 - (3*t[3])/2 + (3*t[4])/2 - t[5]/4 + (39*t[6])/16 - 
       (5*t[7])/8 + (3*t[8])/8 + (7*t[9])/4 + (25*t[10])/8 + (3*t[11])/16 - 
       (11*t[12])/8 - (31*t[13])/72 + (83*t[14])/16 + (7*t[15])/6 + t[28] - 
       t[35] + t[36]/2 + t[39] - t[40]/2 + t[45] - 2*t[47] + (15*t[48])/16 - 
       (9*t[50])/16 + (9*t[52])/16 + (9*t[54])/16 + t[59]/4 + (49*t[60])/8 + 
       (75*t[61])/8 + (53*t[62])/16 + (55*t[63])/16 - (241*t[64])/16 - 
       (5*t[65])/6 - (31*t[66])/12 + t[72]/2 + t[75]/2 + t[77]/2 + t[78] - 
       t[79]/2 - t[80] + (3*t[81])/4 - (3*t[82])/4 - (7*t[83])/4 + 
       (3*t[84])/2 - (3*t[85])/8 - (21*t[86])/2 - (25*t[87])/8 - 
       (25*t[88])/16 + t[89]/16 + 3*t[98] - 3*t[99] - (33*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (t[3]/2 + (7*t[4])/4 + (5*t[5])/8 - (5*t[6])/2 + (65*t[7])/4 - 
       (63*t[8])/4 + (111*t[9])/8 - (99*t[10])/8 + 14*t[11] + (13*t[12])/4 + 
       (115*t[13])/24 + (163*t[14])/48 - (47*t[15])/16 - 4*t[28] + 2*t[36] + 
       5*t[44] - t[46] - (11*t[48])/4 - (11*t[49])/8 + (11*t[50])/4 - 
       t[51]/16 - (11*t[52])/4 + (11*t[53])/8 - 6*t[54] + (47*t[60])/4 + 
       (47*t[61])/4 - (87*t[62])/8 - (5*t[63])/8 - (105*t[64])/8 - 
       (119*t[65])/12 - (265*t[66])/12 + (9*t[84])/4 + (7*t[85])/4 + 
       8*t[86] - (33*t[87])/4 - (33*t[88])/8 - (23*t[89])/8 + 4*t[99] - 
       (33*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      (-t[3]/4 + 8*t[4] - (27*t[5])/8 + (31*t[6])/8 + (11*t[7])/4 + 
       (61*t[8])/4 + (9*t[9])/8 + 2*t[10] + (57*t[11])/8 + (5*t[12])/8 - 
       t[13]/24 + (233*t[14])/24 - (33*t[15])/16 - 2*t[36] + t[46] + 
       (15*t[48])/8 + (5*t[49])/4 - (29*t[50])/8 - (19*t[51])/8 + 
       (29*t[52])/8 - (5*t[53])/4 + (29*t[54])/8 + (47*t[60])/4 + 
       (47*t[61])/4 - (87*t[62])/8 - (5*t[63])/8 - (105*t[64])/8 - 
       (119*t[65])/12 - (265*t[66])/12 + (9*t[84])/4 + (7*t[85])/4 + 
       8*t[86] - (33*t[87])/4 - (33*t[88])/8 - (23*t[89])/8 + 4*t[99] - 
       (33*t[100])/2) + HPL[{0, 1}, 1 - u]*J1[w, u, v]*
      ((-27*t[3])/32 + (5*t[4])/16 - (115*t[5])/32 - t[6] + (49*t[7])/16 + 
       (37*t[8])/16 + (89*t[9])/32 - (109*t[10])/32 + (163*t[11])/32 + 
       (9*t[12])/4 + (391*t[13])/576 + (59*t[14])/192 - (169*t[15])/96 - 
       (5*t[28])/8 - t[29]/8 + t[31]/8 + (7*t[35])/8 + t[37]/8 + t[41]/16 - 
       t[42]/16 + (3*t[44])/4 + t[47]/8 - (11*t[48])/32 - (5*t[49])/32 - 
       t[50]/32 + (5*t[51])/64 + t[52]/32 + (5*t[53])/32 - (13*t[54])/32 + 
       (5*t[60])/8 + (11*t[61])/2 - (31*t[62])/2 - (25*t[63])/4 + 
       (39*t[64])/2 - t[65]/24 - (283*t[66])/24 + t[69]/4 - (5*t[75])/4 - 
       t[79]/2 - t[80]/4 - (3*t[82])/2 + (25*t[83])/4 + (3*t[84])/4 + 
       (3*t[85])/4 + (77*t[86])/4 + (3*t[87])/4 + (3*t[88])/8 - (7*t[89])/4 - 
       (9*t[99])/2 - (65*t[100])/4) + F1[w, u, v]*HPL[{0, 0, 1}, 1 - v]*
      (t[1] + t[2] + (39*t[3])/8 + (17*t[4])/4 + (107*t[5])/8 - 9*t[6] - 
       (5*t[7])/4 - 2*t[8] - (105*t[9])/8 - (29*t[10])/8 - t[11] - t[12] - 
       (59*t[13])/12 - (141*t[14])/16 + (85*t[15])/72 + 2*t[27] - 2*t[28] + 
       t[29]/2 + t[30]/2 - t[34] + 2*t[35] - 2*t[36] + t[38]/2 + t[39]/2 + 
       t[40]/4 + t[41]/2 - t[42]/2 - t[43]/2 - (11*t[44])/4 + (3*t[46])/2 + 
       (3*t[48])/2 + (65*t[49])/8 - 2*t[50] - (67*t[51])/16 + t[52] - 
       (49*t[53])/8 - (25*t[54])/4 + t[59]/2 - (43*t[60])/2 - 2*t[61] + 
       (3*t[62])/8 - (91*t[63])/8 + 22*t[64] - (86*t[65])/3 + (17*t[66])/2 - 
       t[72] + t[73] - t[75] + 4*t[76] - 5*t[78] + 2*t[79] - (11*t[81])/2 + 
       (15*t[82])/2 + 12*t[83] - 12*t[84] - (31*t[85])/4 + 6*t[86] + 
       (21*t[87])/4 + (21*t[88])/8 - (37*t[89])/4 + 4*t[96] + 2*t[97] + 
       8*t[98] - 16*t[100]) + F1[v, w, u]*HPL[{0, 0, 1}, 1 - w]*
      (t[1] + (5*t[2])/2 + (7*t[3])/2 + (7*t[4])/4 + (181*t[5])/8 - 
       (15*t[6])/4 - (17*t[7])/2 + (9*t[8])/2 - (141*t[9])/8 + (69*t[10])/8 + 
       (3*t[11])/4 + t[12]/2 + t[13]/2 - (163*t[14])/24 + (23*t[15])/16 + 
       2*t[27] - 2*t[28] + t[30] + t[31] - t[34] + t[35] + t[38]/2 - 
       (3*t[39])/2 + t[40] + t[41]/2 - t[42]/2 + t[43]/2 - 3*t[44] + t[45] - 
       2*t[47] - t[48]/2 + (37*t[49])/8 - (5*t[50])/2 - (19*t[51])/8 + 
       (3*t[52])/2 - (21*t[53])/8 - (9*t[54])/2 + t[59]/2 - (43*t[60])/2 - 
       2*t[61] + (3*t[62])/8 - (91*t[63])/8 + 22*t[64] - (86*t[65])/3 + 
       (17*t[66])/2 - t[72] + t[73] - t[75] + 4*t[76] - 5*t[78] + 2*t[79] - 
       (11*t[81])/2 + (15*t[82])/2 + 12*t[83] - 12*t[84] - (31*t[85])/4 + 
       6*t[86] + (21*t[87])/4 + (21*t[88])/8 - (37*t[89])/4 + 4*t[96] + 
       2*t[97] + 8*t[98] - 16*t[100]) + G[u, v, w]*HPL[{1}, 1 - v]^2*
      (-t[1]/4 - (17*t[3])/8 - (19*t[5])/16 + 3*t[6] - (7*t[7])/8 + 
       (11*t[8])/8 + (53*t[9])/16 + (7*t[10])/4 + (13*t[11])/8 - 
       (17*t[12])/16 + (445*t[13])/144 + (101*t[14])/16 + (149*t[15])/96 - 
       t[16]/4 + (3*t[25])/2 - t[26] + t[28] - (3*t[35])/2 - t[37]/2 - 
       t[38]/2 + t[39] - t[40]/2 + t[45] + t[46]/4 - 2*t[47] + (3*t[48])/2 - 
       t[49]/8 - (5*t[50])/4 + t[51]/2 + (5*t[52])/4 + (5*t[53])/8 + 
       (5*t[54])/4 + (35*t[60])/4 + (31*t[61])/2 + (49*t[62])/8 + 
       (5*t[63])/4 - (105*t[64])/8 - t[65]/24 - (221*t[66])/24 - 
       (3*t[69])/2 + t[70] - t[71] + t[72]/2 + t[73]/2 - t[74]/2 - t[75]/2 + 
       t[77]/2 + t[78] - 2*t[79] - t[80] + (5*t[81])/4 - (5*t[82])/4 - 
       (5*t[83])/2 + (17*t[84])/8 - t[85]/4 - 14*t[86] - (9*t[87])/2 - 
       (9*t[88])/4 + t[89] + 3*t[98] - 6*t[99] - (27*t[100])/2) + 
     G[u, v, w]*HPL[{1}, 1 - w]^2*((3*t[2])/4 - t[3] + (11*t[4])/2 - 
       t[5]/16 + (9*t[6])/2 - (33*t[7])/8 + (45*t[8])/8 - (51*t[9])/16 + 
       (3*t[10])/4 + (29*t[11])/8 - (5*t[12])/16 + (763*t[13])/144 + 
       (65*t[14])/12 + (47*t[15])/96 + t[20]/2 + 2*t[28] - t[32]/2 + 
       2*t[33] + t[34]/2 - (3*t[35])/2 - t[37]/2 + t[41]/4 - t[42]/4 - 
       t[43]/2 - t[44] - t[47]/2 + (9*t[48])/8 + t[49]/8 - (9*t[50])/8 - 
       t[51]/16 + (9*t[52])/8 - t[53]/8 + (11*t[54])/8 + (35*t[60])/4 + 
       (31*t[61])/2 + (49*t[62])/8 + (5*t[63])/4 - (105*t[64])/8 - t[65]/24 - 
       (221*t[66])/24 - (3*t[69])/2 + t[70] - t[71] + t[72]/2 + t[73]/2 - 
       t[74]/2 - t[75]/2 + t[77]/2 + t[78] - 2*t[79] - t[80] + (5*t[81])/4 - 
       (5*t[82])/4 - (5*t[83])/2 + (17*t[84])/8 - t[85]/4 - 14*t[86] - 
       (9*t[87])/2 - (9*t[88])/4 + t[89] + 3*t[98] - 6*t[99] - 
       (27*t[100])/2) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((13*t[2])/8 - (3*t[3])/4 - (5*t[4])/4 - t[6]/2 + (31*t[7])/8 + 
       (13*t[8])/8 - (5*t[9])/8 - (21*t[10])/4 + 6*t[11] + (10*t[13])/9 + 
       (19*t[14])/48 + t[15]/48 - t[20]/2 - t[28] - t[33]/2 - t[35] + t[36] + 
       t[43]/2 + t[44]/2 - (3*t[48])/4 - t[49]/8 + (3*t[50])/4 + t[51]/16 - 
       (3*t[52])/4 + t[53]/8 - (3*t[54])/2 - (5*t[60])/4 + (35*t[61])/4 - 
       (73*t[62])/8 - (7*t[63])/8 + (123*t[64])/8 - 3*t[65] - (29*t[66])/3 - 
       t[69]/2 + t[72] + t[73] + t[74]/2 - 4*t[75] - t[77] - t[78] + 
       (5*t[79])/2 + 2*t[80] + t[81]/2 - t[82]/2 + (19*t[83])/4 + 
       (3*t[85])/4 + (23*t[86])/2 + (5*t[87])/4 + (5*t[88])/8 - 
       (29*t[89])/8 + 6*t[98] - 6*t[99] - (27*t[100])/2) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*(-3*t[5] + t[6]/8 + 
       (19*t[7])/8 + (35*t[8])/8 + 3*t[9] - (59*t[10])/8 + (45*t[11])/8 + 
       2*t[12] + (5*t[13])/18 + (89*t[14])/48 - (3*t[15])/2 - 2*t[28] - 
       t[31] + 2*t[35] - t[39] + t[40] - t[45] - t[46]/4 + 2*t[47] + 
       t[48]/8 + t[49]/4 - (7*t[50])/8 - t[51]/16 + (7*t[52])/8 - t[53]/4 + 
       (7*t[54])/8 - (5*t[60])/4 + (35*t[61])/4 - (73*t[62])/8 - 
       (7*t[63])/8 + (123*t[64])/8 - 3*t[65] - (29*t[66])/3 - t[69]/2 + 
       t[72] + t[73] + t[74]/2 - 4*t[75] - t[77] - t[78] + (5*t[79])/2 + 
       2*t[80] + t[81]/2 - t[82]/2 + (19*t[83])/4 + (3*t[85])/4 + 
       (23*t[86])/2 + (5*t[87])/4 + (5*t[88])/8 - (29*t[89])/8 + 6*t[98] - 
       6*t[99] - (27*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*((-9*t[2])/8 - (27*t[3])/8 - t[4]/8 - (9*t[5])/8 - 
       (15*t[6])/4 + (29*t[7])/8 - (95*t[8])/8 + 6*t[9] + (25*t[10])/16 + 
       (13*t[11])/4 + (3*t[12])/16 + (23*t[13])/72 + (157*t[14])/96 - 
       (13*t[15])/6 - t[20]/2 + t[22]/2 - t[28] + t[29]/2 - t[31]/2 - 
       t[33]/2 - t[36]/2 + t[37]/2 + t[41]/4 - t[42]/4 + t[47]/2 - 3*t[48] + 
       t[49]/16 + (5*t[50])/2 - t[51]/32 - (5*t[52])/2 - t[53]/16 - 
       (21*t[54])/8 + (15*t[60])/4 + (19*t[61])/4 - (133*t[62])/16 + 
       (9*t[63])/16 - (17*t[64])/8 - (33*t[65])/4 - (161*t[66])/12 - t[69] + 
       (3*t[74])/2 - 3*t[75] - t[79] + (3*t[81])/4 - (3*t[82])/4 + t[83]/4 + 
       (5*t[84])/8 + (3*t[85])/4 + 3*t[86] - 4*t[87] - 2*t[88] - 
       (31*t[89])/8 - t[99] - 13*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*((9*t[2])/4 + (3*t[3])/2 + 5*t[4] + 
       t[5]/2 + t[6]/2 + (19*t[7])/8 - (3*t[8])/8 + (25*t[9])/8 + t[10]/4 + 
       (41*t[11])/8 - 2*t[12] + (11*t[13])/9 + (305*t[14])/48 - 
       (5*t[15])/16 + t[25] - t[26] + (3*t[28])/2 - t[29]/2 - t[35] - 
       2*t[36] - t[37]/2 - t[41]/4 + t[42]/4 + t[44] - t[47]/2 - 
       (3*t[48])/8 + (27*t[49])/8 + t[50]/8 - (21*t[51])/16 - t[52]/8 - 
       (27*t[53])/8 - (9*t[54])/8 + (15*t[60])/4 + (19*t[61])/4 - 
       (133*t[62])/16 + (9*t[63])/16 - (17*t[64])/8 - (33*t[65])/4 - 
       (161*t[66])/12 - t[69] + (3*t[74])/2 - 3*t[75] - t[79] + (3*t[81])/4 - 
       (3*t[82])/4 + t[83]/4 + (5*t[84])/8 + (3*t[85])/4 + 3*t[86] - 
       4*t[87] - 2*t[88] - (31*t[89])/8 - t[99] - 13*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[u, v, w]*(t[4] - (3*t[5])/8 + t[7] + 
       t[8] + (3*t[9])/8 + (3*t[11])/4 - t[12]/8 - t[13]/6 + t[14]/3 - 
       (11*t[15])/48 + t[35] + t[36] - t[46]/2 + t[49]/2 + t[51]/8 - 
       t[53]/2 + t[60] + (3*t[61])/2 - (15*t[62])/4 - (5*t[63])/4 + 
       (17*t[64])/4 - (5*t[65])/6 - (5*t[66])/2 - t[69] + t[73] + t[74] - 
       t[75] + (9*t[83])/2 + 4*t[86] - t[87] - t[88]/2 - (3*t[89])/4 - 
       12*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[v, w, u]*
      ((3*t[2])/4 - (7*t[5])/8 - t[6] + t[7] - (3*t[8])/2 + (25*t[9])/8 + 
       (5*t[11])/4 + t[12]/8 - t[13]/6 + (11*t[14])/24 - (25*t[15])/48 - 
       t[20] - t[32] + t[33] - 2*t[35] - t[48]/2 + t[50]/2 - t[52]/2 - 
       t[54]/2 + t[60] + (3*t[61])/2 - (15*t[62])/4 - (5*t[63])/4 + 
       (17*t[64])/4 - (5*t[65])/6 - (5*t[66])/2 - t[69] + t[73] + t[74] - 
       t[75] + (9*t[83])/2 + 4*t[86] - t[87] - t[88]/2 - (3*t[89])/4 - 
       12*t[100]) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      (6*t[2] + (3*t[3])/4 + 2*t[4] - (13*t[5])/4 - (3*t[6])/2 + 
       (15*t[7])/2 + (9*t[8])/2 + (35*t[9])/4 - 8*t[10] + (49*t[11])/4 + 
       (11*t[12])/4 + (221*t[13])/72 + (13*t[14])/4 + (5*t[15])/3 + t[29] - 
       t[31] + t[35] - t[36] - t[37] - t[41]/2 + t[42]/2 - t[47] - 
       (7*t[48])/4 + t[49]/2 + (7*t[50])/4 - t[51]/4 - (7*t[52])/4 - 
       t[53]/2 - (11*t[54])/4 + t[60] + 12*t[61] - (43*t[62])/2 - 
       (25*t[63])/2 - 9*t[64] - (74*t[66])/3 - 2*t[69] - 4*t[75] - 6*t[79] + 
       2*t[80] - 4*t[82] + 4*t[83] + 30*t[86] - 9*t[89] - 4*t[99] - 
       10*t[100]) + HPL[{0, 1}, 1 - w]*J1[u, v, w]*
      ((-9*t[2])/8 + (21*t[3])/32 + (5*t[4])/16 + (3*t[5])/32 + (7*t[6])/8 + 
       (45*t[7])/16 + (33*t[8])/16 + (7*t[9])/32 - (125*t[10])/32 + 
       (107*t[11])/32 + (9*t[12])/16 + (31*t[13])/576 - (161*t[14])/192 - 
       (17*t[15])/24 - t[28]/8 + t[29]/8 + (5*t[31])/8 - t[35]/8 + t[36]/2 + 
       t[37]/8 + t[41]/16 - t[42]/16 + (3*t[44])/4 + t[47]/8 + 
       (25*t[48])/32 - (5*t[49])/32 - (13*t[50])/32 + (5*t[51])/64 + 
       (13*t[52])/32 + (5*t[53])/32 - t[54]/32 + (9*t[60])/8 + (7*t[61])/2 - 
       (87*t[62])/16 + (3*t[63])/16 + (135*t[64])/8 - 3*t[65] + t[66]/4 + 
       t[69]/2 + (11*t[75])/4 + (7*t[79])/4 - (3*t[80])/4 + (3*t[82])/2 + 
       (23*t[83])/16 + (27*t[86])/4 - (9*t[89])/8 - (15*t[99])/2 - 
       (79*t[100])/8) + HPL[{0, 1}, 1 - v]*J1[v, w, u]*
      ((-27*t[2])/8 - (39*t[3])/32 - (29*t[4])/16 - (69*t[5])/32 + t[6]/4 + 
       (9*t[7])/16 + (57*t[8])/16 - (73*t[9])/32 + (29*t[10])/32 - 
       (17*t[11])/32 + (11*t[12])/8 - (1357*t[13])/576 - (235*t[14])/192 - 
       (37*t[15])/24 - (13*t[28])/8 + (5*t[29])/8 + t[31]/8 + (3*t[35])/8 - 
       t[36]/4 + (5*t[37])/8 + (5*t[41])/16 - (5*t[42])/16 - (3*t[44])/4 + 
       (5*t[47])/8 + (17*t[48])/32 - (7*t[49])/32 - (29*t[50])/32 + 
       (7*t[51])/64 + (29*t[52])/32 + (7*t[53])/32 + (67*t[54])/32 + 
       (9*t[60])/8 + (7*t[61])/2 - (87*t[62])/16 + (3*t[63])/16 + 
       (135*t[64])/8 - 3*t[65] + t[66]/4 + t[69]/2 + (11*t[75])/4 + 
       (7*t[79])/4 - (3*t[80])/4 + (3*t[82])/2 + (23*t[83])/16 + 
       (27*t[86])/4 - (9*t[89])/8 - (15*t[99])/2 - (79*t[100])/8) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*(t[1]/2 + (27*t[2])/4 + 
       (27*t[3])/4 + (21*t[4])/8 + (121*t[5])/8 - (9*t[6])/4 - (7*t[7])/4 - 
       (7*t[8])/4 - (71*t[9])/8 - (31*t[10])/8 - (7*t[11])/8 - (33*t[12])/8 - 
       (23*t[13])/24 - (95*t[14])/12 + (425*t[15])/144 - t[26]/2 + t[27] - 
       2*t[28] - t[29] - t[30] + t[31] + 3*t[35] - 2*t[36] - t[37] + 
       t[38]/2 - 2*t[39] + t[40] - t[41]/2 + t[42]/2 + t[43]/2 + t[44] + 
       t[45] + t[46]/2 - 3*t[47] - t[48]/4 + (9*t[49])/4 + (9*t[50])/4 - 
       (7*t[51])/4 - (9*t[52])/4 - (9*t[53])/4 - (27*t[54])/4 - t[59]/4 - 
       (21*t[60])/2 - (55*t[61])/8 + 12*t[62] + (5*t[63])/4 - 
       (255*t[64])/16 - (19*t[65])/2 + (169*t[66])/12 + t[69] - t[72] + 
       t[73] - t[76] - t[77] - t[80] - 3*t[81] + 6*t[82] + (11*t[83])/2 - 
       (5*t[84])/2 + t[85]/4 + 2*t[86] + (23*t[87])/8 + (23*t[88])/16 - 
       10*t[89] - 20*t[98] + 14*t[99] - 9*t[100]) + 
     F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((15*t[2])/8 + (31*t[3])/16 - (21*t[4])/4 + (7*t[5])/2 - 6*t[6] + 
       (27*t[7])/4 - (143*t[8])/8 + (11*t[9])/4 - (41*t[10])/8 - 
       (11*t[11])/2 + (11*t[12])/8 - (715*t[13])/144 - (161*t[14])/24 + 
       (47*t[15])/288 + t[27] - (5*t[29])/4 - t[31] - t[32]/2 + t[33]/2 + 
       t[34]/2 + t[35] + t[36]/2 - t[39]/4 + t[40]/2 - t[43]/2 + 
       (7*t[44])/4 + (3*t[46])/4 - t[47]/2 - (9*t[48])/2 + (9*t[49])/8 + 
       (25*t[50])/8 - t[51]/2 - (25*t[52])/8 - (9*t[53])/8 - (15*t[54])/4 - 
       t[59]/4 - (21*t[60])/2 - (55*t[61])/8 + 12*t[62] + (5*t[63])/4 - 
       (255*t[64])/16 - (19*t[65])/2 + (169*t[66])/12 + t[69] - t[72] + 
       t[73] - t[76] - t[77] - t[80] - 3*t[81] + 6*t[82] + (11*t[83])/2 - 
       (5*t[84])/2 + t[85]/4 + 2*t[86] + (23*t[87])/8 + (23*t[88])/16 - 
       10*t[89] - 20*t[98] + 14*t[99] - 9*t[100]) + 
     H1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(3*t[2] - (5*t[3])/8 + 
       t[4]/4 - 2*t[5] - (5*t[6])/4 + (3*t[7])/2 + (5*t[8])/2 + (7*t[9])/4 - 
       (19*t[10])/8 + (21*t[11])/8 + (9*t[12])/8 + (185*t[13])/144 + 
       (137*t[14])/48 + (79*t[15])/48 - (3*t[28])/2 + t[35]/2 - t[36]/2 - 
       t[37]/2 - t[41]/4 + t[42]/4 - t[47]/2 - (11*t[48])/8 - t[49]/8 + 
       (11*t[50])/8 + t[51]/16 - (11*t[52])/8 + t[53]/8 - (9*t[54])/8 + 
       t[60]/2 + (19*t[61])/2 - (31*t[62])/4 - (17*t[63])/4 - (13*t[64])/4 - 
       (2*t[65])/3 - 10*t[66] - 4*t[75] + t[79] + t[80] - 2*t[82] + 
       14*t[83] + 10*t[86] + 2*t[87] + t[88] - (17*t[89])/4 + 8*t[99] - 
       8*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w]*(7*t[2] - (35*t[3])/16 + (45*t[4])/8 + (91*t[5])/32 + 
       (21*t[6])/4 + (49*t[7])/16 + (3*t[8])/16 + (173*t[9])/32 - 
       (303*t[10])/16 + (227*t[11])/16 - (67*t[12])/32 + (95*t[13])/9 + 
       (245*t[14])/32 + (89*t[15])/192 - 2*t[27] + t[28] - t[30] - t[41]/4 + 
       t[42]/4 + (15*t[43])/8 + 2*t[44] - (7*t[45])/4 + t[46]/2 + 
       (7*t[47])/2 - (3*t[48])/2 + (9*t[49])/8 - (3*t[51])/16 - (9*t[53])/8 - 
       (13*t[54])/4 + (147*t[60])/8 + (213*t[61])/8 + (161*t[62])/16 - 
       (409*t[63])/16 + (75*t[64])/16 - (65*t[65])/8 - (889*t[66])/24 + 
       2*t[72] + 6*t[73] + 2*t[75] + 3*t[76] - (3*t[77])/2 + 2*t[78] - 
       7*t[79] + 12*t[80] + 5*t[81] - (17*t[82])/2 - 5*t[83] + (9*t[84])/2 + 
       5*t[85] + 5*t[86] - 12*t[87] - 6*t[88] - (133*t[89])/16 - t[96] - 
       2*t[98] + 8*t[99] - 7*t[100]) + H1[w, u, v]*HPL[{0, 1}, 1 - w]*
      (3*t[2] - (5*t[3])/8 - t[4]/4 - (9*t[5])/8 - (3*t[6])/2 - t[7]/4 + 
       (3*t[8])/4 + (3*t[9])/8 + (9*t[10])/8 + t[11]/8 + t[12]/2 + 
       (41*t[13])/144 + (137*t[14])/48 + (21*t[15])/8 + t[28]/2 - t[29]/2 - 
       t[31]/2 + t[35]/2 - t[37]/2 - t[41]/4 + t[42]/4 - t[44] - t[47]/2 - 
       (9*t[48])/8 + t[49]/8 + (13*t[50])/8 - t[51]/16 - (13*t[52])/8 - 
       t[53]/8 - (7*t[54])/8 - (9*t[60])/2 + 8*t[61] - 2*t[62] + t[63] - 
       8*t[64] + (13*t[65])/6 - (7*t[66])/2 - t[75] - t[79] + t[80] - 
       2*t[82] + (33*t[83])/4 - t[84] - t[85] + 3*t[86] + 3*t[87] + 
       (3*t[88])/2 - 3*t[89] + 14*t[99] - (13*t[100])/2) + 
     H1[w, u, v]*HPL[{0, 1}, 1 - v]*(3*t[2] - (5*t[3])/8 - t[4]/4 - 
       (9*t[5])/8 - (3*t[6])/2 - t[7]/4 + (3*t[8])/4 + (3*t[9])/8 - 
       (7*t[10])/8 + t[11]/8 - t[12]/2 + (41*t[13])/144 + (113*t[14])/48 + 
       (55*t[15])/24 - (3*t[28])/2 - t[29]/2 - t[31]/2 + t[35]/2 + t[36] - 
       t[37]/2 - t[41]/4 + t[42]/4 - t[44] - t[47]/2 - (9*t[48])/8 + 
       t[49]/8 + (13*t[50])/8 - t[51]/16 - (13*t[52])/8 - t[53]/8 - 
       (7*t[54])/8 - (9*t[60])/2 + 8*t[61] - 2*t[62] + t[63] - 8*t[64] + 
       (13*t[65])/6 - (7*t[66])/2 - t[75] - t[79] + t[80] - 2*t[82] + 
       (33*t[83])/4 - t[84] - t[85] + 3*t[86] + 3*t[87] + (3*t[88])/2 - 
       3*t[89] + 14*t[99] - (13*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      J1[v, w, u]*((-7*t[5])/16 + (7*t[7])/8 + (7*t[8])/8 + (7*t[9])/16 - 
       (7*t[10])/8 + (7*t[11])/8 + (7*t[12])/16 + (7*t[14])/48 + 
       (17*t[15])/96 - (3*t[28])/4 + t[31]/8 - t[35]/8 - t[36]/8 + 
       (7*t[61])/4 - (21*t[62])/8 - (7*t[63])/8 + (21*t[64])/8 - t[65]/12 - 
       (7*t[66])/4 - t[75]/8 - t[79] + (29*t[83])/16 + (7*t[86])/2 - 
       (7*t[89])/8 - (3*t[99])/4 - (51*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[u, v, w]*((-7*t[5])/16 + (7*t[7])/8 + 
       (7*t[8])/8 + (7*t[9])/16 - (7*t[10])/8 + (7*t[11])/8 + (7*t[12])/16 + 
       (13*t[14])/48 - (7*t[15])/96 + (5*t[35])/8 + (5*t[36])/8 + 
       (7*t[61])/4 - (21*t[62])/8 - (7*t[63])/8 + (21*t[64])/8 - t[65]/12 - 
       (7*t[66])/4 - t[75]/8 - t[79] + (29*t[83])/16 + (7*t[86])/2 - 
       (7*t[89])/8 - (3*t[99])/4 - (51*t[100])/8) + 
     G[u, v, w]*HPL[{1}, 1 - u]^2*(-t[5]/8 + t[7]/4 + t[8]/4 + t[9]/8 - 
       t[10]/4 + t[11]/4 + t[12]/8 + t[14]/24 - t[15]/48 - t[28]/2 + 
       t[36]/2 + t[61]/2 - (3*t[62])/4 - t[63]/4 + (3*t[64])/4 - t[65]/6 - 
       t[66]/2 + t[73] - 3*t[75] + t[79] + (5*t[83])/2 + t[86] - t[89]/4 - 
       6*t[100]) + F1[u, v, w]*HPL[{1}, 1 - w]^3*((-23*t[2])/24 - 
       (19*t[3])/12 + (33*t[4])/8 - t[5] + (13*t[6])/6 - (23*t[7])/24 + 
       (13*t[8])/24 + t[9]/24 + (25*t[10])/16 + (55*t[11])/24 - 
       (13*t[12])/48 + (95*t[13])/36 + (361*t[14])/96 + (10*t[15])/9 + 
       (7*t[35])/6 - t[37]/2 + t[41]/4 - t[42]/4 - t[43]/2 - t[47]/2 - 
       t[48]/6 + t[49]/16 + t[50]/6 - t[51]/32 - t[52]/6 - t[53]/16 + 
       (5*t[54])/24 + t[59]/2 + (151*t[60])/24 + (69*t[61])/8 + 
       (199*t[62])/48 + (205*t[63])/48 - (791*t[64])/48 - (13*t[65])/9 - 
       (79*t[66])/36 + t[69]/2 - t[70]/3 + t[71]/3 + t[72]/2 - t[74]/3 + 
       t[75] + t[77]/2 + t[78] - (11*t[79])/6 - t[80] + (3*t[81])/4 - 
       (3*t[82])/4 - (7*t[83])/3 + (3*t[84])/2 - (3*t[85])/8 - (67*t[86])/6 - 
       (79*t[87])/24 - (79*t[88])/48 + t[89]/16 + 3*t[98] - 6*t[99] - 
       6*t[100]) + F1[u, v, w]*HPL[{1}, 1 - v]^3*(t[1]/4 - (3*t[3])/2 + 
       (11*t[4])/6 - t[5]/8 + (39*t[6])/16 - (19*t[7])/24 + (5*t[8])/24 + 
       (13*t[9])/8 + (79*t[10])/24 - (19*t[11])/48 - (7*t[12])/6 - 
       (35*t[13])/72 + (839*t[14])/144 + (163*t[15])/144 + t[28] - 
       (3*t[35])/2 + t[37]/6 + t[39] - t[40]/2 + t[45] - t[46]/6 - 2*t[47] + 
       (15*t[48])/16 + t[49]/6 - (9*t[50])/16 + t[51]/24 + (9*t[52])/16 - 
       t[53]/6 + (9*t[54])/16 + t[59]/2 + (151*t[60])/24 + (69*t[61])/8 + 
       (199*t[62])/48 + (205*t[63])/48 - (791*t[64])/48 - (13*t[65])/9 - 
       (79*t[66])/36 + t[69]/2 - t[70]/3 + t[71]/3 + t[72]/2 - t[74]/3 + 
       t[75] + t[77]/2 + t[78] - (11*t[79])/6 - t[80] + (3*t[81])/4 - 
       (3*t[82])/4 - (7*t[83])/3 + (3*t[84])/2 - (3*t[85])/8 - (67*t[86])/6 - 
       (79*t[87])/24 - (79*t[88])/48 + t[89]/16 + 3*t[98] - 6*t[99] - 
       6*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (3*t[2] + (3*t[3])/8 + t[4] - (13*t[5])/8 - (3*t[6])/4 + (15*t[7])/4 + 
       (9*t[8])/4 + (35*t[9])/8 - 4*t[10] + (49*t[11])/8 + (11*t[12])/8 + 
       (221*t[13])/144 + (13*t[14])/8 + (5*t[15])/6 + t[29]/2 - t[31]/2 + 
       t[35]/2 - t[36]/2 - t[37]/2 - t[41]/4 + t[42]/4 - t[47]/2 - 
       (7*t[48])/8 + t[49]/4 + (7*t[50])/8 - t[51]/8 - (7*t[52])/8 - 
       t[53]/4 - (11*t[54])/8 + t[60]/2 + 6*t[61] - (43*t[62])/4 - 
       (25*t[63])/4 - (9*t[64])/2 - (37*t[66])/3 - t[69] - 2*t[75] - 
       3*t[79] + t[80] - 2*t[82] + 2*t[83] + 15*t[86] - (9*t[89])/2 - 
       2*t[99] - 5*t[100]) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (t[1]/2 + (13*t[2])/8 - t[3]/4 - (3*t[4])/2 - (11*t[5])/8 - 
       (7*t[6])/4 + (37*t[7])/8 - (25*t[8])/8 - t[9]/4 - (37*t[10])/8 + 
       (23*t[11])/4 - t[12] + t[13] + (5*t[15])/24 - t[19]/2 + t[20]/2 + 
       t[28] - t[32]/2 + t[33] + t[34]/2 - (5*t[35])/2 - 2*t[36] - t[37]/2 - 
       t[41]/4 + t[42]/4 + t[43]/2 + t[45]/2 + t[46]/2 - t[47]/2 - 
       (3*t[48])/4 - t[49]/2 + (3*t[50])/4 - t[51]/8 - (3*t[52])/4 + 
       t[53]/2 - (11*t[54])/4 - (3*t[59])/4 + 6*t[60] + (37*t[61])/4 - 
       (3*t[62])/8 - (65*t[63])/8 - 3*t[64] - (25*t[65])/4 - (25*t[66])/4 - 
       (3*t[69])/2 + t[70] - t[71] + t[72] + t[73] + (3*t[74])/2 + 4*t[75] + 
       t[76] + t[77]/2 + t[78] - (3*t[83])/2 + t[84]/4 + (3*t[85])/4 + 
       (7*t[86])/2 - (17*t[87])/4 - (17*t[88])/8 - (7*t[89])/2 - 2*t[98] + 
       6*t[99] - 5*t[100]) + F1[u, v, w]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (-t[1]/4 + t[2]/4 - t[3] + 4*t[4] - (7*t[5])/4 + (15*t[6])/8 + 
       (9*t[7])/8 + (47*t[8])/8 + (15*t[9])/4 - (3*t[10])/8 + (33*t[11])/8 + 
       t[12]/4 + (55*t[13])/36 + (281*t[14])/48 + (7*t[15])/24 + t[20] + 
       t[21] - t[23] + 2*t[28] + 2*t[31] + t[33] + (3*t[35])/2 - t[36] - 
       t[37]/2 + t[39] - t[40] + t[41]/2 - t[42]/2 - t[43] + (3*t[46])/4 - 
       t[47] - (3*t[48])/8 + t[49]/2 - (3*t[50])/8 - (13*t[51])/16 + 
       (11*t[52])/8 - t[53]/2 - (9*t[54])/8 - (3*t[59])/4 + 6*t[60] + 
       (37*t[61])/4 - (3*t[62])/8 - (65*t[63])/8 - 3*t[64] - (25*t[65])/4 - 
       (25*t[66])/4 - (3*t[69])/2 + t[70] - t[71] + t[72] + t[73] + 
       (3*t[74])/2 + 4*t[75] + t[76] + t[77]/2 + t[78] - (3*t[83])/2 + 
       t[84]/4 + (3*t[85])/4 + (7*t[86])/2 - (17*t[87])/4 - (17*t[88])/8 - 
       (7*t[89])/2 - 2*t[98] + 6*t[99] - 5*t[100]) + 
     F1[v, w, u]*HPL[{1}, 1 - w]^3*(-t[2] - t[3] + (3*t[4])/4 - 
       (11*t[5])/16 + (3*t[6])/4 - (11*t[7])/8 + (35*t[8])/8 - (5*t[9])/16 - 
       (3*t[10])/8 + (9*t[11])/8 + (3*t[12])/16 + (61*t[13])/48 + 
       (37*t[14])/48 + (235*t[15])/288 - t[44] + (3*t[48])/8 - (3*t[50])/8 + 
       (3*t[52])/8 + (3*t[54])/8 + t[59]/3 + (17*t[61])/4 - t[62]/4 + 
       (7*t[63])/4 + (19*t[64])/8 + (11*t[65])/8 - (83*t[66])/24 + t[73]/2 - 
       (5*t[75])/2 + t[81]/4 - t[82]/4 + (5*t[83])/2 + (3*t[84])/8 + 
       t[87]/4 + t[88]/8 + (3*t[89])/8 - (9*t[100])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - v]^3*(-t[1]/2 - (3*t[3])/8 - t[4]/2 - 
       (9*t[5])/16 + (3*t[6])/8 + (3*t[7])/8 + (9*t[8])/8 + (15*t[9])/16 - 
       (5*t[10])/4 + t[11]/4 + (17*t[12])/16 + (27*t[13])/16 + 
       (23*t[14])/48 + (5*t[15])/32 + t[25] - t[26]/2 - t[38]/2 - 
       (3*t[46])/4 + (3*t[48])/8 + (5*t[49])/8 - (3*t[50])/8 + t[51]/2 + 
       (3*t[52])/8 - t[53]/8 + (3*t[54])/8 + t[59]/3 + (17*t[61])/4 - 
       t[62]/4 + (7*t[63])/4 + (19*t[64])/8 + (11*t[65])/8 - (83*t[66])/24 + 
       t[73]/2 - (5*t[75])/2 + t[81]/4 - t[82]/4 + (5*t[83])/2 + 
       (3*t[84])/8 + t[87]/4 + t[88]/8 + (3*t[89])/8 - (9*t[100])/2) + 
     A10[w, u, v]*HPL[{1}, 1 - w]*(-t[5] + 2*t[7] + 2*t[8] + t[9] - 2*t[10] + 
       2*t[11] + t[12] + t[14]/3 - t[15]/6 - 2*t[28] - (3*t[60])/2 + 
       (9*t[61])/2 - (25*t[62])/4 + (5*t[63])/4 + (19*t[64])/4 - 3*t[65] - 
       4*t[66] + t[81] + t[82] + 2*t[83] - (3*t[85])/2 + 8*t[86] + 
       (3*t[87])/2 + (3*t[88])/4 - (7*t[89])/4 - 4*t[100]) + 
     A10[v, w, u]*HPL[{1}, 1 - v]*(t[3] + (3*t[4])/2 + t[5]/2 + (19*t[6])/4 + 
       2*t[7] + (15*t[8])/2 - (3*t[9])/2 - (29*t[10])/4 + (13*t[11])/4 - 
       (3*t[12])/4 - (13*t[14])/24 - (4*t[15])/3 - 2*t[27] - t[46] + 
       (7*t[48])/4 + (7*t[49])/4 - t[50]/4 - t[51]/8 + t[52]/4 - 
       (7*t[53])/4 - (5*t[54])/4 - (3*t[60])/2 + (9*t[61])/2 - (25*t[62])/4 + 
       (5*t[63])/4 + (19*t[64])/4 - 3*t[65] - 4*t[66] + t[81] + t[82] + 
       2*t[83] - (3*t[85])/2 + 8*t[86] + (3*t[87])/2 + (3*t[88])/4 - 
       (7*t[89])/4 - 4*t[100]) + C27[v, w, u]*(t[93] - 4*t[100]) + 
     C27[w, u, v]*(t[93] - 4*t[100]) + A10[u, v, w]*HPL[{1}, 1 - w]*
      ((-3*t[2])/4 + t[3]/2 + 2*t[4] + (19*t[5])/8 + (13*t[6])/4 - t[7]/2 + 
       (9*t[8])/2 - (53*t[9])/8 - (9*t[10])/2 + (9*t[11])/2 - (29*t[12])/8 - 
       t[13]/6 - (15*t[14])/8 + (71*t[15])/16 - t[17]/2 + 2*t[24] - 2*t[27] + 
       2*t[28] + t[33] - t[46] + (15*t[48])/4 + (3*t[49])/2 + (7*t[50])/4 - 
       (7*t[52])/4 - (3*t[53])/2 - (11*t[54])/4 - (17*t[60])/4 + 8*t[61] - 
       (7*t[62])/8 + (35*t[63])/8 + (7*t[64])/2 + (5*t[65])/2 + t[66]/6 + 
       t[68] + t[81]/2 - (5*t[82])/2 - t[83] - (19*t[85])/4 - 4*t[86] + 
       (19*t[87])/4 + (19*t[88])/8 - (5*t[89])/2 + t[93] - 4*t[100]) + 
     A10[u, v, w]*HPL[{1}, 1 - v]*(-t[3] + t[4]/2 - (3*t[5])/4 - 
       (23*t[6])/8 - t[7] - (13*t[8])/2 + (7*t[9])/4 + (35*t[10])/4 - 
       (15*t[11])/8 + (15*t[12])/4 + (5*t[13])/4 + (17*t[14])/8 + 
       (53*t[15])/24 + t[25] - t[26] - t[39] + (3*t[46])/2 - (11*t[48])/8 - 
       (15*t[49])/4 + (5*t[50])/8 + (3*t[51])/2 - (5*t[52])/8 + 
       (15*t[53])/4 + (39*t[54])/8 - (17*t[60])/4 + 8*t[61] - (7*t[62])/8 + 
       (35*t[63])/8 + (7*t[64])/2 + (5*t[65])/2 + t[66]/6 + t[68] + t[81]/2 - 
       (5*t[82])/2 - t[83] - (19*t[85])/4 - 4*t[86] + (19*t[87])/4 + 
       (19*t[88])/8 - (5*t[89])/2 + t[93] - 4*t[100]) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - u]*(t[1]/4 - (257*t[3])/8 + (9*t[4])/4 - 
       (131*t[5])/8 + (45*t[6])/4 + (23*t[7])/2 + (173*t[8])/4 + 
       (239*t[9])/8 + (37*t[10])/8 + (99*t[11])/8 + (49*t[12])/4 + 
       (277*t[13])/144 + (1631*t[14])/48 + (163*t[15])/18 + 2*t[19] - 
       2*t[20] - 2*t[21] + 2*t[23] - 4*t[24] - 2*t[28] - (3*t[29])/2 - 
       2*t[30] + (11*t[32])/2 - t[33] + (5*t[34])/2 + 2*t[35] - t[36] - 
       t[37] - t[38] - (9*t[40])/2 + t[41]/4 - t[42]/4 - t[43]/4 - 
       (9*t[44])/4 - (19*t[45])/4 + t[46] + (11*t[47])/2 + (31*t[48])/8 + 
       (7*t[49])/8 + (31*t[50])/8 - (19*t[51])/16 + (13*t[52])/8 - 
       (7*t[53])/8 + (101*t[54])/8 - 2*t[57] + 2*t[59] + 25*t[60] + 
       (157*t[61])/4 - (147*t[62])/8 - (25*t[63])/8 - 18*t[64] - 
       (7*t[65])/12 - (61*t[66])/6 + 2*t[70] - 2*t[71] + 2*t[72] + t[74] + 
       4*t[75] + t[76]/2 + 2*t[77] + 7*t[78] + 2*t[79] + 3*t[80] + 
       (3*t[82])/2 + 15*t[83] + (21*t[84])/4 - (9*t[85])/2 - t[86]/2 - 
       9*t[87] + 5*t[88] - (23*t[89])/4 - 2*t[95] - 2*t[96] + 2*t[97] - 
       4*t[98] - 4*t[100]) + F1[w, u, v]*HPL[{0, 0, 1}, 1 - u]*
      ((-9*t[1])/4 - (17*t[2])/4 + 2*t[3] - (3*t[4])/4 + (35*t[5])/2 - 
       (103*t[6])/8 + (7*t[7])/8 - (209*t[8])/8 - (9*t[9])/8 + (41*t[10])/4 - 
       (5*t[11])/4 - (19*t[12])/8 + (325*t[13])/144 + (13*t[14])/12 + 
       (41*t[15])/16 + 2*t[25] - (3*t[26])/2 + 2*t[28] - t[29] - 2*t[30] - 
       2*t[31] + t[34]/2 - 2*t[35] + t[37] - t[38] + 2*t[39] + (3*t[40])/2 - 
       t[41]/4 + t[42]/4 + (13*t[43])/8 - t[44] + 2*t[45] - 3*t[46] - 
       4*t[47] - (19*t[48])/4 + (3*t[49])/8 - (7*t[50])/4 + (13*t[51])/8 - 
       (15*t[52])/4 - (47*t[53])/8 - (47*t[54])/4 - t[58]/2 + 2*t[59] + 
       25*t[60] + (157*t[61])/4 - (147*t[62])/8 - (25*t[63])/8 - 18*t[64] - 
       (7*t[65])/12 - (61*t[66])/6 + 2*t[70] - 2*t[71] + 2*t[72] + t[74] + 
       4*t[75] + t[76]/2 + 2*t[77] + 7*t[78] + 2*t[79] + 3*t[80] + 
       (3*t[82])/2 + 15*t[83] + (21*t[84])/4 - (9*t[85])/2 - t[86]/2 - 
       9*t[87] + 5*t[88] - (23*t[89])/4 - 2*t[95] - 2*t[96] + 2*t[97] - 
       4*t[98] - 4*t[100]) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-3*t[1])/4 - (11*t[2])/8 + (99*t[3])/16 + (23*t[4])/4 - 
       (65*t[5])/16 - (77*t[6])/8 + (27*t[7])/8 - (119*t[8])/8 + 
       (103*t[9])/16 - (73*t[10])/8 + (63*t[11])/8 - (17*t[12])/16 + 
       (541*t[13])/144 - (311*t[14])/96 - (103*t[15])/36 - t[19] + t[21] - 
       t[23] + t[26]/2 + 3*t[28] + (3*t[29])/4 + (3*t[30])/2 + 3*t[31] - 
       (15*t[32])/4 + t[33]/2 + t[34]/2 + t[35] - t[36] - t[37]/2 - t[38]/2 + 
       t[39] + t[40] - t[43]/4 - (3*t[44])/8 - t[45] + t[46]/2 + 
       (3*t[47])/2 - 5*t[48] + (13*t[49])/8 + t[50] - (37*t[51])/32 - 
       (5*t[52])/2 - (19*t[53])/8 - 11*t[54] - t[59] - (5*t[60])/2 - 
       (39*t[61])/8 + 14*t[62] - 4*t[63] - (57*t[64])/16 - (65*t[65])/8 - 
       (133*t[66])/24 - 2*t[69] - t[70] + t[71] + 3*t[73] + (3*t[74])/2 + 
       5*t[75] + (3*t[76])/2 + (3*t[78])/2 + t[80] + (3*t[81])/4 + t[82]/4 + 
       (23*t[83])/2 - (19*t[84])/8 + 4*t[85] + t[86] - (47*t[87])/8 - 
       (119*t[88])/16 - (7*t[89])/4 + t[95] + t[96] - t[97]/2 + 8*t[98] - 
       6*t[99] - 4*t[100]) + F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((3*t[1])/4 + t[2]/2 + t[3]/2 - (29*t[4])/8 - (49*t[5])/16 - 
       (5*t[6])/8 + (43*t[7])/8 + (5*t[8])/2 + (33*t[9])/16 + t[10]/2 - 
       (5*t[11])/4 - (35*t[12])/16 - (11*t[13])/6 - (53*t[14])/96 + 
       (299*t[15])/288 - t[19] + t[20] + t[21] - t[23] - t[25] + t[26]/2 + 
       t[28] + t[29]/4 - t[30]/4 + 2*t[31] - (3*t[32])/4 + (7*t[33])/4 - 
       t[34]/2 - t[35] - (3*t[36])/2 + t[37]/2 + t[38]/2 + (3*t[39])/4 - 
       (7*t[40])/4 - (5*t[44])/8 + t[45]/2 + t[46]/2 - t[47] - (17*t[48])/8 + 
       (17*t[49])/8 + (5*t[50])/4 - (15*t[51])/32 + (3*t[52])/4 + 
       (5*t[53])/8 - (11*t[54])/8 - t[59] - (5*t[60])/2 - (39*t[61])/8 + 
       14*t[62] - 4*t[63] - (57*t[64])/16 - (65*t[65])/8 - (133*t[66])/24 - 
       2*t[69] - t[70] + t[71] + 3*t[73] + (3*t[74])/2 + 5*t[75] + 
       (3*t[76])/2 + (3*t[78])/2 + t[80] + (3*t[81])/4 + t[82]/4 + 
       (23*t[83])/2 - (19*t[84])/8 + 4*t[85] + t[86] - (47*t[87])/8 - 
       (119*t[88])/16 - (7*t[89])/4 + t[95] + t[96] - t[97]/2 + 8*t[98] - 
       6*t[99] - 4*t[100]) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((27*t[2])/4 + (7*t[3])/4 + (51*t[4])/8 - (11*t[5])/8 - (27*t[6])/8 + 
       (9*t[7])/4 - (7*t[8])/4 + (25*t[9])/8 - (3*t[10])/16 + (71*t[11])/8 + 
       (11*t[12])/16 + (235*t[13])/36 - (27*t[14])/32 + (43*t[15])/24 - 
       2*t[28] - t[29] + t[30] - t[31] - t[35] - t[37] - t[39] - t[41]/2 + 
       t[42]/2 + t[44] - t[47] - (25*t[48])/8 + (15*t[49])/16 + 
       (27*t[50])/8 + t[51]/32 - (27*t[52])/8 - (15*t[53])/16 - 
       (23*t[54])/4 + (29*t[60])/8 - t[61]/8 - (111*t[62])/16 - 
       (161*t[63])/16 - (303*t[64])/16 - (103*t[65])/24 - (143*t[66])/8 + 
       t[73] - 9*t[75] - t[76] - t[77] + 2*t[78] - t[79] + 2*t[80] + t[81] - 
       4*t[82] + (15*t[83])/2 + t[84]/8 + (9*t[85])/8 + 13*t[86] + 
       (7*t[87])/8 + (7*t[88])/16 - (85*t[89])/16 - 6*t[98] + 26*t[99] - 
       4*t[100]) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((21*t[2])/4 + (7*t[3])/8 - (5*t[4])/4 - (21*t[5])/8 - (27*t[6])/16 - 
       t[7] - t[8] + (23*t[9])/2 - (29*t[10])/8 - (13*t[11])/16 + 2*t[12] + 
       (29*t[13])/72 + (61*t[14])/12 - (13*t[15])/16 - 2*t[28] - 
       (5*t[29])/4 - t[30] - t[31] + 3*t[35] + t[36] - t[37] + (3*t[39])/4 - 
       t[40] - t[41]/2 + t[42]/2 - t[47] - (21*t[48])/16 + (3*t[49])/8 - 
       (9*t[50])/16 - (7*t[51])/16 + (9*t[52])/16 - (3*t[53])/8 - 
       (7*t[54])/16 + (29*t[60])/8 - t[61]/8 - (111*t[62])/16 - 
       (161*t[63])/16 - (303*t[64])/16 - (103*t[65])/24 - (143*t[66])/8 + 
       t[73] - 9*t[75] - t[76] - t[77] + 2*t[78] - t[79] + 2*t[80] + t[81] - 
       4*t[82] + (15*t[83])/2 + t[84]/8 + (9*t[85])/8 + 13*t[86] + 
       (7*t[87])/8 + (7*t[88])/16 - (85*t[89])/16 - 6*t[98] + 26*t[99] - 
       4*t[100]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (-t[1]/2 + (9*t[2])/4 + t[3] + (3*t[4])/2 + (21*t[5])/16 + (9*t[6])/8 + 
       (9*t[7])/4 + t[8]/2 + (49*t[9])/16 - (25*t[10])/8 + (11*t[11])/8 + 
       (3*t[12])/16 + (26*t[13])/9 + (9*t[14])/4 + (139*t[15])/96 + t[25] - 
       t[26]/2 + t[28]/2 - t[35]/2 + t[36]/2 - t[37]/2 - t[38]/2 - t[41]/4 + 
       t[42]/4 - t[46] - t[47]/2 + (11*t[49])/8 + (5*t[51])/16 - 
       (7*t[53])/8 - t[54]/2 + t[59]/4 + t[60]/6 + (41*t[61])/12 + 
       (3*t[62])/4 + 2*t[63] - (21*t[64])/4 - (11*t[65])/72 - 
       (305*t[66])/72 + t[73]/2 - t[74]/2 - (11*t[75])/6 - (31*t[79])/12 + 
       t[80]/3 + t[81]/4 - t[82]/4 + t[83]/6 + (3*t[84])/8 - (7*t[86])/12 - 
       (3*t[87])/4 - (3*t[88])/8 - t[89]/8 - 2*t[99] - (19*t[100])/6) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*
      ((-3*t[2])/2 - (9*t[3])/8 + (2*t[4])/3 - (13*t[5])/16 + (2*t[6])/3 - 
       (15*t[7])/8 + (31*t[8])/8 - (25*t[9])/48 + (5*t[10])/12 + t[11]/3 + 
       t[12]/48 + (25*t[13])/27 + t[14]/36 + (43*t[15])/288 + t[28]/2 + 
       (2*t[35])/3 - t[36]/2 + t[37]/6 + t[41]/12 - t[42]/12 - t[44] + 
       t[47]/6 + (2*t[48])/3 + t[49]/24 - (2*t[50])/3 - t[51]/48 + 
       (2*t[52])/3 - t[53]/24 + (7*t[54])/12 + t[59]/4 + t[60]/6 + 
       (41*t[61])/12 + (3*t[62])/4 + 2*t[63] - (21*t[64])/4 - (11*t[65])/72 - 
       (305*t[66])/72 + t[73]/2 - t[74]/2 - (11*t[75])/6 - (31*t[79])/12 + 
       t[80]/3 + t[81]/4 - t[82]/4 + t[83]/6 + (3*t[84])/8 - (7*t[86])/12 - 
       (3*t[87])/4 - (3*t[88])/8 - t[89]/8 - 2*t[99] - (19*t[100])/6) + 
     F1[v, w, u]*HPL[{1}, 1 - u]^3*(-t[5]/16 + t[7]/8 + t[8]/8 + t[9]/16 - 
       t[10]/8 + t[11]/8 + t[12]/16 + t[14]/48 - t[15]/96 - t[28]/2 + 
       t[61]/4 - (3*t[62])/8 - t[63]/8 + (3*t[64])/8 - t[65]/12 - t[66]/4 + 
       t[73]/2 - (3*t[75])/2 + t[79]/2 + (3*t[83])/2 + t[86]/2 - t[89]/8 - 
       3*t[100]) + F1[w, u, v]*HPL[{1}, 1 - u]^3*(-t[5]/16 + t[7]/8 + 
       t[8]/8 + t[9]/16 - t[10]/8 + t[11]/8 + t[12]/16 + t[14]/48 - 
       t[15]/96 + t[36]/2 + t[61]/4 - (3*t[62])/8 - t[63]/8 + (3*t[64])/8 - 
       t[65]/12 - t[66]/4 + t[73]/2 - (3*t[75])/2 + t[79]/2 + (3*t[83])/2 + 
       t[86]/2 - t[89]/8 - 3*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*(3*t[2] - t[4]/4 - (3*t[5])/8 - (11*t[6])/8 + 
       (3*t[7])/4 - 3*t[8] + (17*t[9])/4 - (27*t[10])/8 + (3*t[11])/4 - 
       t[12]/8 + (173*t[13])/144 + 2*t[14] + (7*t[15])/6 - t[29]/2 - 
       t[31]/2 + t[35]/2 + t[36] - t[37]/2 - t[41]/4 + t[42]/4 - t[46]/4 - 
       t[47]/2 - (9*t[48])/8 - (3*t[49])/8 + (9*t[50])/8 - (9*t[52])/8 + 
       (3*t[53])/8 - (13*t[54])/8 + t[60]/2 + (3*t[61])/2 - t[62] - 3*t[63] - 
       (57*t[64])/4 + t[65]/6 - (35*t[66])/6 - 2*t[75] - 2*t[79] + t[80] - 
       2*t[82] + (3*t[83])/4 + 2*t[86] - (5*t[89])/4 + 10*t[99] - 
       (5*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (3*t[2] + (3*t[3])/4 + (9*t[4])/4 + (3*t[5])/8 - t[6]/8 + t[7]/4 + 
       t[8] + (5*t[9])/4 + (15*t[10])/8 + t[11] - (3*t[12])/8 + 
       (269*t[13])/144 + 2*t[14] + (25*t[15])/24 - t[29]/2 - t[31]/2 + 
       t[35]/2 - t[36] - t[37]/2 - t[41]/4 + t[42]/4 + t[46]/4 - t[47]/2 - 
       (5*t[48])/8 + (7*t[49])/8 + (5*t[50])/8 - t[51]/4 - (5*t[52])/8 - 
       (7*t[53])/8 - (9*t[54])/8 + t[60]/2 + (3*t[61])/2 - t[62] - 3*t[63] - 
       (57*t[64])/4 + t[65]/6 - (35*t[66])/6 - 2*t[75] - 2*t[79] + t[80] - 
       2*t[82] + (3*t[83])/4 + 2*t[86] - (5*t[89])/4 + 10*t[99] - 
       (5*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*(-t[1]/4 - (5*t[2])/8 + (135*t[3])/16 - (83*t[4])/16 + 
       (19*t[5])/16 - (69*t[6])/8 + (23*t[7])/8 - (75*t[8])/8 + 
       (59*t[9])/16 - (217*t[10])/32 + (39*t[11])/8 + (45*t[12])/32 - 
       (7*t[13])/9 - (763*t[14])/192 - (1139*t[15])/288 - t[19] + t[21] - 
       t[23] + 2*t[28] + (3*t[29])/4 + t[30]/2 - t[31] - (15*t[32])/4 + 
       t[33]/2 + t[34]/2 - 2*t[35] + 2*t[36] + t[37]/2 + 2*t[40] + t[43]/4 - 
       (3*t[44])/8 - 3*t[45] - t[46] + (11*t[47])/2 - (11*t[48])/4 - 
       (11*t[49])/32 + (3*t[50])/4 + (7*t[51])/64 - (9*t[52])/4 + 
       (11*t[53])/32 - (107*t[54])/16 - (3*t[59])/4 - (439*t[60])/16 - 
       (129*t[61])/16 - (161*t[62])/32 + (257*t[63])/32 + (1303*t[64])/32 + 
       (181*t[65])/48 - (7*t[66])/16 - 2*t[69] - t[70] + t[71] - t[72] + 
       3*t[73] - t[74]/2 + (7*t[76])/2 - (3*t[77])/2 - (9*t[78])/2 + 
       5*t[79] + 6*t[80] - t[81]/4 + t[82]/4 + 11*t[83] - (83*t[84])/16 + 
       (19*t[85])/16 + 22*t[86] + (211*t[87])/16 + (67*t[88])/32 - 
       (241*t[89])/32 + t[95] + t[96] - t[97]/2 + 22*t[98] - 28*t[99] - 
       2*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*((3*t[1])/4 + (33*t[3])/8 - (109*t[4])/8 - (21*t[5])/16 - 
       (305*t[6])/32 + (47*t[7])/8 - (67*t[8])/8 - (39*t[9])/4 - 
       (15*t[10])/4 - (75*t[11])/32 + (7*t[12])/16 - (403*t[13])/72 - 
       (295*t[14])/24 - (11*t[15])/72 - t[25] + t[26]/2 - 4*t[28] - t[29]/2 + 
       t[30]/2 + t[31] + t[32] - t[33] + t[35] - t[36]/2 - t[37]/2 + 
       t[38]/2 - t[39] + t[43] + (9*t[44])/4 - t[45]/2 + t[46] + t[47] - 
       (159*t[48])/32 + (9*t[49])/8 + (193*t[50])/32 + (13*t[51])/32 - 
       (161*t[52])/32 + (13*t[53])/8 - (137*t[54])/32 - (3*t[59])/4 - 
       (439*t[60])/16 - (129*t[61])/16 - (161*t[62])/32 + (257*t[63])/32 + 
       (1303*t[64])/32 + (181*t[65])/48 - (7*t[66])/16 - 2*t[69] - t[70] + 
       t[71] - t[72] + 3*t[73] - t[74]/2 + (7*t[76])/2 - (3*t[77])/2 - 
       (9*t[78])/2 + 5*t[79] + 6*t[80] - t[81]/4 + t[82]/4 + 11*t[83] - 
       (83*t[84])/16 + (19*t[85])/16 + 22*t[86] + (211*t[87])/16 + 
       (67*t[88])/32 - (241*t[89])/32 + t[95] + t[96] - t[97]/2 + 22*t[98] - 
       28*t[99] - 2*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w]*((9*t[2])/4 + (3*t[3])/8 - t[5]/4 + 
       t[6]/4 + (3*t[7])/2 + (5*t[8])/2 + (3*t[9])/4 - (15*t[10])/4 + 
       (15*t[11])/8 + (5*t[12])/4 + (269*t[13])/144 + (35*t[14])/24 + 
       (31*t[15])/16 + t[20] - t[28] + t[32] - t[33] + (5*t[35])/2 - 
       t[37]/2 - t[41]/4 + t[42]/4 + t[46]/2 - t[47]/2 - (3*t[48])/8 - 
       t[49]/4 + (3*t[50])/8 - t[51]/4 - (3*t[52])/8 + t[53]/4 - 
       (7*t[54])/8 - (3*t[60])/2 + (7*t[61])/2 - (5*t[62])/2 - (7*t[63])/2 - 
       (55*t[64])/4 + (11*t[65])/6 - (41*t[66])/6 + 2*t[69] - 2*t[73] - 
       2*t[74] + t[75] - 4*t[79] + t[80] - 2*t[82] - (7*t[83])/2 + 6*t[86] + 
       2*t[87] + t[88] - (11*t[89])/4 + 4*t[99] - 2*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[w, u, v]*((-27*t[3])/32 - t[4]/16 - 
       (7*t[5])/4 - (19*t[6])/16 - (5*t[7])/8 + t[8]/8 + (9*t[9])/16 + 
       (27*t[10])/32 - (21*t[11])/32 + (7*t[12])/32 - (41*t[13])/576 - 
       (25*t[14])/192 - (53*t[15])/64 - (5*t[28])/8 + (7*t[35])/8 + t[36]/8 + 
       t[37]/8 + t[41]/16 - t[42]/16 + t[47]/8 - (5*t[48])/32 + t[49]/32 + 
       (5*t[50])/32 - t[51]/64 - (5*t[52])/32 - t[53]/32 - (7*t[54])/32 - 
       t[60]/8 - (11*t[61])/8 - (65*t[62])/16 + t[63]/16 + (141*t[64])/16 + 
       (11*t[65])/6 - (13*t[66])/6 - t[75] + (11*t[79])/4 - t[80]/4 - 
       (3*t[82])/2 + (7*t[83])/2 + (9*t[86])/2 + (3*t[87])/2 + (3*t[88])/4 + 
       (25*t[89])/16 + 6*t[99] - 2*t[100]) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*Phi6[u, v, w]*((7*t[5])/16 - (7*t[7])/8 - (7*t[8])/8 - 
       (7*t[9])/16 + (7*t[10])/8 - (7*t[11])/8 - (7*t[12])/16 - 
       (31*t[14])/48 + (7*t[15])/96 - t[28]/2 - t[35]/2 - t[36]/2 - 
       (7*t[61])/4 + (21*t[62])/8 + (7*t[63])/8 - (21*t[64])/8 + 
       (7*t[65])/12 + (7*t[66])/4 + t[73]/2 - 2*t[75] + (5*t[79])/2 + 
       t[83]/4 - (7*t[86])/2 + (7*t[89])/8 + 3*t[99] - (3*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      ((7*t[5])/16 - (7*t[7])/8 - (7*t[8])/8 - (7*t[9])/16 + (7*t[10])/8 - 
       (7*t[11])/8 - (7*t[12])/16 - (7*t[14])/48 + (7*t[15])/96 - t[31]/2 + 
       t[35]/2 + t[36] - (7*t[61])/4 + (21*t[62])/8 + (7*t[63])/8 - 
       (21*t[64])/8 + (7*t[65])/12 + (7*t[66])/4 + t[73]/2 - 2*t[75] + 
       (5*t[79])/2 + t[83]/4 - (7*t[86])/2 + (7*t[89])/8 + 3*t[99] - 
       (3*t[100])/2) + H1[u, v, w]*HPL[{0, 1}, 1 - w]*
      ((3*t[2])/2 + (11*t[3])/8 + (3*t[4])/4 + (21*t[5])/8 + (3*t[6])/2 + 
       (7*t[7])/4 + (3*t[8])/4 - (7*t[9])/8 - (35*t[10])/8 + (29*t[11])/8 - 
       (5*t[12])/4 + (209*t[13])/144 + (89*t[14])/48 + (13*t[15])/6 + 
       t[28]/2 - t[29]/2 + (3*t[31])/2 + t[35]/2 + 2*t[36] - t[37]/2 - 
       t[41]/4 + t[42]/4 + t[44] - t[47]/2 - t[48]/8 - (3*t[49])/8 + 
       (5*t[50])/8 + (3*t[51])/16 - (5*t[52])/8 + (3*t[53])/8 - (7*t[54])/8 + 
       (3*t[60])/2 + (7*t[62])/4 + (13*t[63])/4 + (27*t[64])/2 - 2*t[65] + 
       (19*t[66])/3 + 2*t[69] + 5*t[75] + 5*t[79] - t[80] + 2*t[82] - 
       (15*t[83])/4 - 3*t[86] + (3*t[89])/2 - 10*t[99] - t[100]/2) + 
     H1[v, w, u]*HPL[{0, 1}, 1 - v]*((-15*t[2])/2 - (17*t[3])/8 - 
       (11*t[4])/4 - (19*t[5])/8 - (13*t[7])/4 + (3*t[8])/4 - (39*t[9])/8 + 
       (51*t[10])/8 - (47*t[11])/8 - t[12]/2 - (217*t[13])/48 - 
       (79*t[14])/16 - (14*t[15])/3 - (3*t[28])/2 + (3*t[29])/2 - t[31]/2 + 
       (5*t[35])/2 + t[36] + (3*t[37])/2 + (3*t[41])/4 - (3*t[42])/4 - 
       t[44] + (3*t[47])/2 + (15*t[48])/8 - t[49]/8 - (19*t[50])/8 + 
       t[51]/16 + (19*t[52])/8 + t[53]/8 + (29*t[54])/8 + (3*t[60])/2 + 
       (7*t[62])/4 + (13*t[63])/4 + (27*t[64])/2 - 2*t[65] + (19*t[66])/3 + 
       2*t[69] + 5*t[75] + 5*t[79] - t[80] + 2*t[82] - (15*t[83])/4 - 
       3*t[86] + (3*t[89])/2 - 10*t[99] - t[100]/2) + 6*C25[u, v, w]*t[100] + 
     8*C27[u, v, w]*t[100] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[u, v, w]*
      ((-9*t[2])/8 + (21*t[3])/32 - t[4]/16 + (19*t[5])/16 + (17*t[6])/16 + 
       (5*t[7])/8 - t[8]/8 - t[9]/2 - (13*t[10])/32 + (7*t[11])/32 - 
       (3*t[12])/32 - (257*t[13])/576 - (55*t[14])/64 - (53*t[15])/192 - 
       t[28]/8 - (5*t[35])/8 + (5*t[36])/8 + t[37]/8 + t[41]/16 - t[42]/16 + 
       t[47]/8 + (19*t[48])/32 + t[49]/32 - (19*t[50])/32 - t[51]/64 + 
       (19*t[52])/32 - t[53]/32 + (17*t[54])/32 - (3*t[60])/8 - (5*t[61])/8 + 
       (9*t[62])/8 + (19*t[63])/8 + (165*t[64])/16 - (13*t[65])/24 + 
       (37*t[66])/8 + t[75]/2 + (5*t[79])/4 - (3*t[80])/4 + (3*t[82])/2 - 
       (7*t[83])/4 - 2*t[86] + (17*t[89])/16 - 3*t[99] + t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[v, w, u]*((-27*t[2])/8 - 
       (39*t[3])/32 - (23*t[4])/16 - (17*t[5])/16 + t[6]/16 - (13*t[7])/8 + 
       (11*t[8])/8 - (15*t[9])/4 + (57*t[10])/32 - (57*t[11])/32 + 
       (11*t[12])/32 - (1069*t[13])/576 - (347*t[14])/192 - (87*t[15])/64 - 
       t[28]/8 - t[35]/8 - (7*t[36])/8 + (5*t[37])/8 + (5*t[41])/16 - 
       (5*t[42])/16 + (5*t[47])/8 + (23*t[48])/32 - (13*t[49])/32 - 
       (23*t[50])/32 + (13*t[51])/64 + (23*t[52])/32 + (13*t[53])/32 + 
       (49*t[54])/32 - (3*t[60])/8 - (5*t[61])/8 + (9*t[62])/8 + 
       (19*t[63])/8 + (165*t[64])/16 - (13*t[65])/24 + (37*t[66])/8 + 
       t[75]/2 + (5*t[79])/4 - (3*t[80])/4 + (3*t[82])/2 - (7*t[83])/4 - 
       2*t[86] + (17*t[89])/16 - 3*t[99] + t[100]) + 
     H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*(t[5]/2 - t[7] - t[8] - 
       t[9]/2 + t[10] - t[11] - t[12]/2 - (2*t[14])/3 + t[15]/12 - t[35]/2 - 
       t[36]/2 - 2*t[61] + 3*t[62] + t[63] - 3*t[64] + 2*t[66] + t[75]/2 + 
       2*t[79] - (13*t[83])/4 - 4*t[86] + t[89] + 3*t[99] + (3*t[100])/2) + 
     H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*(t[5]/2 - t[7] - t[8] - 
       t[9]/2 + t[10] - t[11] - t[12]/2 - t[14]/6 + (5*t[15])/12 + t[28] - 
       t[31]/2 + t[35]/2 + t[36]/2 - 2*t[61] + 3*t[62] + t[63] - 3*t[64] + 
       2*t[66] + t[75]/2 + 2*t[79] - (13*t[83])/4 - 4*t[86] + t[89] + 
       3*t[99] + (3*t[100])/2) + HPL[{0, 1, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((-8*t[65])/3 + 2*t[83] + 2*t[100]) + F1[v, w, u]*HPL[{1}, 1 - v]^3*
      (t[3]/6 - t[4]/2 + t[5]/3 - t[6]/8 - t[7]/6 - t[8]/2 - t[9]/2 - 
       t[10]/6 - (7*t[11])/24 + (7*t[12])/12 - (5*t[13])/18 - (43*t[14])/36 + 
       (7*t[15])/36 - t[25]/3 + t[26]/3 + t[46]/6 - t[48]/8 - t[49]/2 + 
       (5*t[50])/24 + t[51]/8 - (5*t[52])/24 + t[53]/2 - (5*t[54])/24 - 
       (3*t[60])/4 - (29*t[61])/12 + (9*t[62])/8 - (67*t[63])/24 + 
       (13*t[64])/24 + t[65]/2 + (25*t[66])/9 + (2*t[75])/3 - t[81]/6 + 
       t[82]/6 - (2*t[83])/3 - t[84]/6 - t[85]/12 + (5*t[87])/12 + 
       (5*t[88])/24 + (11*t[89])/24 + 2*t[100]) + 
     F1[w, u, v]*HPL[{1}, 1 - w]^3*((2*t[3])/3 - (5*t[4])/12 + t[5]/12 + 
       t[6]/3 - (5*t[7])/6 + (4*t[8])/3 - (11*t[9])/12 + (5*t[10])/24 - 
       (5*t[11])/4 - t[12]/24 - (2*t[13])/3 - (149*t[14])/144 - 
       (7*t[15])/18 + t[29]/6 + t[48]/2 - t[49]/24 - t[50]/2 + t[51]/48 + 
       t[52]/2 + t[53]/24 + (7*t[54])/12 - (3*t[60])/4 - (29*t[61])/12 + 
       (9*t[62])/8 - (67*t[63])/24 + (13*t[64])/24 + t[65]/2 + (25*t[66])/9 + 
       (2*t[75])/3 - t[81]/6 + t[82]/6 - (2*t[83])/3 - t[84]/6 - t[85]/12 + 
       (5*t[87])/12 + (5*t[88])/24 + (11*t[89])/24 + 2*t[100]) + 
     HPL[{1}, 1 - u]^2*K1[v, w, u]*(t[5]/16 - t[7]/8 - t[8]/8 - t[9]/16 + 
       t[10]/8 - t[11]/8 - t[12]/16 - t[14]/48 + t[15]/96 + t[28]/2 - 
       t[61]/4 + (3*t[62])/8 + t[63]/8 - (3*t[64])/8 + t[65]/12 + t[66]/4 - 
       t[73]/2 + (3*t[75])/2 - t[79]/2 - (3*t[83])/2 - t[86]/2 + t[89]/8 + 
       3*t[100]) + HPL[{1}, 1 - u]^2*K1[u, v, w]*(t[5]/16 - t[7]/8 - t[8]/8 - 
       t[9]/16 + t[10]/8 - t[11]/8 - t[12]/16 - t[14]/48 + t[15]/96 - 
       t[36]/2 - t[61]/4 + (3*t[62])/8 + t[63]/8 - (3*t[64])/8 + t[65]/12 + 
       t[66]/4 - t[73]/2 + (3*t[75])/2 - t[79]/2 - (3*t[83])/2 - t[86]/2 + 
       t[89]/8 + 3*t[100]) + HPL[{0, 1}, 1 - u]*J1[v, w, u]*
      ((-27*t[2])/8 - (39*t[3])/32 - (17*t[4])/16 - t[5]/32 - t[6]/8 - 
       (59*t[7])/16 - (35*t[8])/16 - (165*t[9])/32 + (105*t[10])/32 - 
       (141*t[11])/32 - t[12]/2 - (781*t[13])/576 - (391*t[14])/192 - 
       (23*t[15])/16 - (13*t[28])/8 - (5*t[29])/8 + t[31]/8 + (3*t[35])/8 + 
       (5*t[37])/8 + (5*t[41])/16 - (5*t[42])/16 + (3*t[44])/4 + 
       (5*t[47])/8 + (29*t[48])/32 - (19*t[49])/32 - (17*t[50])/32 + 
       (19*t[51])/64 + (17*t[52])/32 + (19*t[53])/32 + (31*t[54])/32 - 
       (3*t[60])/8 - 4*t[61] + (117*t[62])/16 + (71*t[63])/16 + 
       (33*t[64])/8 + t[65]/6 + (35*t[66])/4 + (3*t[69])/4 + (5*t[75])/4 + 
       2*t[79] - (3*t[80])/4 + (3*t[82])/2 - (3*t[83])/4 - (41*t[86])/4 + 
       (25*t[89])/8 + (3*t[99])/2 + (13*t[100])/4) + 
     HPL[{0, 1}, 1 - u]*J1[u, v, w]*((-9*t[2])/8 + (21*t[3])/32 - 
       (7*t[4])/16 + (71*t[5])/32 + (5*t[6])/4 - (23*t[7])/16 - 
       (11*t[8])/16 - (37*t[9])/32 + (71*t[10])/32 - (137*t[11])/32 - 
       (21*t[12])/16 - (545*t[13])/576 - (61*t[14])/192 + (7*t[15])/48 + 
       (11*t[28])/8 - t[29]/8 + (5*t[31])/8 - (9*t[35])/8 + t[36]/2 + 
       t[37]/8 + t[41]/16 - t[42]/16 - (3*t[44])/4 + t[47]/8 + 
       (13*t[48])/32 + (7*t[49])/32 - (25*t[50])/32 - (7*t[51])/64 + 
       (25*t[52])/32 - (7*t[53])/32 + (35*t[54])/32 - (3*t[60])/8 - 4*t[61] + 
       (117*t[62])/16 + (71*t[63])/16 + (33*t[64])/8 + t[65]/6 + 
       (35*t[66])/4 + (3*t[69])/4 + (5*t[75])/4 + 2*t[79] - (3*t[80])/4 + 
       (3*t[82])/2 - (3*t[83])/4 - (41*t[86])/4 + (25*t[89])/8 + 
       (3*t[99])/2 + (13*t[100])/4) + H1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((3*t[2])/2 + (11*t[3])/8 + t[4]/4 + (13*t[5])/4 + 
       (7*t[6])/4 + t[7]/2 - t[8]/2 - t[9] - (11*t[10])/8 + (9*t[11])/8 - 
       (5*t[12])/8 + (113*t[13])/144 + (23*t[14])/16 + (125*t[15])/48 + 
       t[28]/2 - (3*t[35])/2 + (3*t[36])/2 - t[37]/2 - t[41]/4 + t[42]/4 - 
       t[47]/2 - (3*t[48])/8 - t[49]/8 + (3*t[50])/8 + t[51]/16 - 
       (3*t[52])/8 + t[53]/8 - t[54]/8 - t[60]/2 - (7*t[61])/2 + 
       (11*t[62])/2 + (9*t[63])/2 + (39*t[64])/4 + t[65]/6 + (53*t[66])/6 + 
       2*t[75] + 3*t[79] - t[80] + 2*t[82] - 7*t[83] - 8*t[86] + 
       (11*t[89])/4 - 4*t[99] + 4*t[100]) + H1[v, w, u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((-15*t[2])/2 - (17*t[3])/8 - (9*t[4])/4 - (7*t[5])/4 - 
       t[6]/4 - (9*t[7])/2 - t[8]/2 - 6*t[9] + (47*t[10])/8 - (47*t[11])/8 - 
       (3*t[12])/8 - (185*t[13])/48 - (87*t[14])/16 - (73*t[15])/16 + 
       t[28]/2 + t[35]/2 - t[36]/2 + (3*t[37])/2 + (3*t[41])/4 - 
       (3*t[42])/4 + (3*t[47])/2 + (17*t[48])/8 - (3*t[49])/8 - 
       (17*t[50])/8 + (3*t[51])/16 + (17*t[52])/8 + (3*t[53])/8 + 
       (23*t[54])/8 - t[60]/2 - (7*t[61])/2 + (11*t[62])/2 + (9*t[63])/2 + 
       (39*t[64])/4 + t[65]/6 + (53*t[66])/6 + 2*t[75] + 3*t[79] - t[80] + 
       2*t[82] - 7*t[83] - 8*t[86] + (11*t[89])/4 - 4*t[99] + 4*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[u, v, w]*((-5*t[5])/16 + (5*t[7])/8 + 
       (5*t[8])/8 + (5*t[9])/16 - (5*t[10])/8 + (5*t[11])/8 + (5*t[12])/16 + 
       (5*t[14])/48 - (29*t[15])/96 + (3*t[28])/4 + (5*t[31])/8 - 
       (5*t[35])/8 - (5*t[36])/8 + (5*t[61])/4 - (15*t[62])/8 - (5*t[63])/8 + 
       (15*t[64])/8 - (11*t[65])/12 - (5*t[66])/4 + (7*t[75])/8 - 2*t[79] + 
       t[83]/16 + (5*t[86])/2 - (5*t[89])/8 - (15*t[99])/4 + (33*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[v, w, u]*((-5*t[5])/16 + (5*t[7])/8 + 
       (5*t[8])/8 + (5*t[9])/16 - (5*t[10])/8 + (5*t[11])/8 + (5*t[12])/16 + 
       (35*t[14])/48 - (5*t[15])/96 + t[35]/8 + t[36]/8 + (5*t[61])/4 - 
       (15*t[62])/8 - (5*t[63])/8 + (15*t[64])/8 - (11*t[65])/12 - 
       (5*t[66])/4 + (7*t[75])/8 - 2*t[79] + t[83]/16 + (5*t[86])/2 - 
       (5*t[89])/8 - (15*t[99])/4 + (33*t[100])/8) + 
     HPL[{1}, 1 - w]^2*K1[w, u, v]*((3*t[2])/4 + (3*t[3])/2 - (3*t[4])/4 + 
       (11*t[5])/16 - (3*t[6])/4 + (11*t[7])/8 - (35*t[8])/8 + (5*t[9])/16 + 
       (3*t[10])/8 - (9*t[11])/8 - (3*t[12])/16 - (61*t[13])/48 - 
       (37*t[14])/48 - (89*t[15])/96 + t[44] - (3*t[48])/8 + (3*t[50])/8 - 
       (3*t[52])/8 - (3*t[54])/8 - t[59]/4 - (17*t[61])/4 + t[62]/4 - 
       (3*t[63])/4 - (15*t[64])/8 - (11*t[65])/8 + (83*t[66])/24 - t[73]/2 + 
       (5*t[75])/2 - t[81]/4 + t[82]/4 - (5*t[83])/2 - (3*t[84])/8 - 
       t[87]/4 - t[88]/8 - (3*t[89])/8 + (9*t[100])/2) + 
     HPL[{1}, 1 - v]^2*K1[w, u, v]*(t[1]/2 + (3*t[3])/8 + t[4]/2 + 
       (9*t[5])/16 - (3*t[6])/8 - (3*t[7])/8 - (9*t[8])/8 - (15*t[9])/16 + 
       (5*t[10])/4 - t[11]/4 - (17*t[12])/16 - (27*t[13])/16 - 
       (23*t[14])/48 - (5*t[15])/32 - t[25] + t[26]/2 + t[38]/2 + 
       (3*t[46])/4 - (3*t[48])/8 - (5*t[49])/8 + (3*t[50])/8 - t[51]/2 - 
       (3*t[52])/8 + t[53]/8 - (3*t[54])/8 - t[59]/4 - (17*t[61])/4 + 
       t[62]/4 - (3*t[63])/4 - (15*t[64])/8 - (11*t[65])/8 + (83*t[66])/24 - 
       t[73]/2 + (5*t[75])/2 - t[81]/4 + t[82]/4 - (5*t[83])/2 - 
       (3*t[84])/8 - t[87]/4 - t[88]/8 - (3*t[89])/8 + (9*t[100])/2) + 
     F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*(t[4]/2 + (17*t[5])/16 - 
       (17*t[7])/8 - (17*t[8])/8 - (17*t[9])/16 + (15*t[10])/8 - 
       (17*t[11])/8 - (21*t[12])/16 + t[13]/6 - (77*t[14])/48 + 
       (25*t[15])/96 - t[28]/2 - t[35] - 2*t[36] + t[49]/4 - t[53]/4 + 
       t[60]/2 - (19*t[61])/4 + (55*t[62])/8 + (9*t[63])/8 - (53*t[64])/8 + 
       (7*t[65])/4 + (55*t[66])/12 + t[73]/2 - t[75]/2 + (7*t[79])/2 + 
       2*t[83] - (17*t[86])/2 - t[87]/2 - t[88]/4 + (19*t[89])/8 + 6*t[99] + 
       (9*t[100])/2) + F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      ((17*t[5])/16 + t[6]/4 - (21*t[7])/8 - (13*t[8])/8 - (13*t[9])/16 + 
       (17*t[10])/8 - (19*t[11])/8 - (17*t[12])/16 - (5*t[14])/48 + 
       (17*t[15])/96 + 2*t[28] - t[31] + t[35] + (3*t[36])/2 - t[44]/2 + 
       t[48]/4 - t[50]/4 + t[52]/4 + t[54]/4 + t[60]/2 - (19*t[61])/4 + 
       (55*t[62])/8 + (9*t[63])/8 - (53*t[64])/8 + (7*t[65])/4 + 
       (55*t[66])/12 + t[73]/2 - t[75]/2 + (7*t[79])/2 + 2*t[83] - 
       (17*t[86])/2 - t[87]/2 - t[88]/4 + (19*t[89])/8 + 6*t[99] + 
       (9*t[100])/2) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      ((9*t[3])/4 - 6*t[4] + (9*t[5])/8 - (15*t[6])/4 + (9*t[7])/4 - t[8]/4 - 
       (35*t[9])/8 - (5*t[10])/2 + t[11] + (11*t[12])/8 + (23*t[13])/72 - 
       (53*t[14])/8 - (13*t[15])/16 - t[28] - t[31] + t[35] + t[36] - t[39] + 
       t[40] - t[45] - t[46]/2 + 2*t[47] - (5*t[48])/4 - t[49]/4 + 
       (9*t[50])/4 + t[51] - (9*t[52])/4 + t[53]/4 - (9*t[54])/4 - 16*t[60] - 
       (5*t[61])/2 - (83*t[62])/8 + (47*t[63])/8 + (129*t[64])/4 + 7*t[65] + 
       8*t[66] - t[74] - t[77] - t[78] + 2*t[80] - t[81]/2 + t[82]/2 + 
       5*t[83] - (13*t[84])/4 - t[85] + 20*t[86] + (25*t[87])/2 + 
       (25*t[88])/4 - (17*t[89])/4 - 4*t[99] + 5*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      (2*t[3] - (33*t[4])/4 - (13*t[5])/8 - 4*t[6] + (5*t[7])/4 + 
       (27*t[8])/4 - (63*t[9])/8 - (11*t[10])/8 - 6*t[11] + t[12] - 
       (481*t[13])/72 - (197*t[14])/48 - (19*t[15])/48 - 2*t[28] + t[32] - 
       t[33] + t[35] + t[36] + t[43]/2 + t[44] - (5*t[48])/4 - (3*t[49])/8 + 
       (5*t[50])/4 + (3*t[51])/16 - (5*t[52])/4 + (3*t[53])/8 + t[54]/2 - 
       16*t[60] - (5*t[61])/2 - (83*t[62])/8 + (47*t[63])/8 + (129*t[64])/4 + 
       7*t[65] + 8*t[66] - t[74] - t[77] - t[78] + 2*t[80] - t[81]/2 + 
       t[82]/2 + 5*t[83] - (13*t[84])/4 - t[85] + 20*t[86] + (25*t[87])/2 + 
       (25*t[88])/4 - (17*t[89])/4 - 4*t[99] + 5*t[100]) + 
     A10[v, w, u]*HPL[{1}, 1 - w]*((9*t[2])/4 - (11*t[5])/8 - (3*t[6])/2 + 
       t[7]/2 - 4*t[8] + (41*t[9])/8 + (5*t[10])/2 - t[11]/4 - (7*t[12])/8 - 
       2*t[13] - (13*t[14])/24 - (65*t[15])/48 - 2*t[28] - 3*t[33] - 
       (7*t[60])/4 - 3*t[61] - (21*t[62])/8 + (51*t[63])/8 + t[64] - t[65] + 
       6*t[66] + 2*t[74] + 2*t[79] - t[81]/2 + t[82]/2 - 2*t[83] - t[84]/2 - 
       t[85]/4 + 2*t[86] + (5*t[87])/4 + (5*t[88])/8 + (5*t[89])/4 + 
       6*t[100]) + A10[w, u, v]*HPL[{1}, 1 - v]*(t[3]/2 + t[5] - (3*t[6])/8 - 
       t[8] - (3*t[9])/2 + t[10]/2 - (7*t[11])/8 - t[12]/4 - (5*t[13])/2 - 
       (5*t[14])/3 + t[15]/12 + t[16] - t[25] + t[26] - t[46]/2 - 
       (3*t[48])/8 + (5*t[50])/8 - (3*t[51])/8 - (5*t[52])/8 - (5*t[54])/8 - 
       (7*t[60])/4 - 3*t[61] - (21*t[62])/8 + (51*t[63])/8 + t[64] - t[65] + 
       6*t[66] + 2*t[74] + 2*t[79] - t[81]/2 + t[82]/2 - 2*t[83] - t[84]/2 - 
       t[85]/4 + 2*t[86] + (5*t[87])/4 + (5*t[88])/8 + (5*t[89])/4 + 
       6*t[100]) + HPL[{1}, 1 - v]^2*K1[v, w, u]*(-t[1]/4 + (3*t[3])/2 - 
       (3*t[4])/2 + t[5]/8 - (39*t[6])/16 + (7*t[7])/8 - t[8]/8 - 
       (13*t[9])/8 - (27*t[10])/8 + t[11]/16 + (3*t[12])/2 + (31*t[13])/72 - 
       (271*t[14])/48 - (19*t[15])/16 - t[28] + (3*t[35])/2 - t[39] + 
       t[40]/2 - t[45] + 2*t[47] - (15*t[48])/16 + (9*t[50])/16 - 
       (9*t[52])/16 - (9*t[54])/16 - t[59]/4 - (49*t[60])/8 - (71*t[61])/8 - 
       (65*t[62])/16 - (43*t[63])/16 + (245*t[64])/16 + (4*t[65])/3 + 
       (25*t[66])/12 - t[72]/2 - t[75] - t[77]/2 - t[78] + (3*t[79])/2 + 
       t[80] - (3*t[81])/4 + (3*t[82])/4 + (5*t[83])/2 - (3*t[84])/2 + 
       (3*t[85])/8 + (23*t[86])/2 + (25*t[87])/8 + (25*t[88])/16 - 
       (5*t[89])/16 - 3*t[98] + 6*t[99] + 6*t[100]) + 
     HPL[{1}, 1 - w]^2*K1[u, v, w]*(t[2]/8 + t[3] - (33*t[4])/8 + 
       (3*t[5])/4 - (9*t[6])/4 + (11*t[7])/8 - t[8]/8 + t[9]/8 - 
       (29*t[10])/16 - (17*t[11])/8 + (7*t[12])/16 - (185*t[13])/72 - 
       (123*t[14])/32 - (5*t[15])/8 + t[37]/2 - t[41]/4 + t[42]/4 + t[43]/2 + 
       t[47]/2 - t[49]/16 + t[51]/32 + t[53]/16 - (3*t[54])/8 - t[59]/4 - 
       (49*t[60])/8 - (71*t[61])/8 - (65*t[62])/16 - (43*t[63])/16 + 
       (245*t[64])/16 + (4*t[65])/3 + (25*t[66])/12 - t[72]/2 - t[75] - 
       t[77]/2 - t[78] + (3*t[79])/2 + t[80] - (3*t[81])/4 + (3*t[82])/4 + 
       (5*t[83])/2 - (3*t[84])/2 + (3*t[85])/8 + (23*t[86])/2 + 
       (25*t[87])/8 + (25*t[88])/16 - (5*t[89])/16 - 3*t[98] + 6*t[99] + 
       6*t[100]) + HPL[{0, 1}, 1 - u]*K1[v, w, u]*(-t[1]/4 - (41*t[2])/8 + 
       (179*t[3])/16 - (27*t[4])/8 + (77*t[5])/16 - (35*t[6])/8 - 
       (107*t[7])/8 - (133*t[8])/8 - (295*t[9])/16 + (107*t[10])/16 - 
       (117*t[11])/8 - (41*t[12])/8 - (787*t[13])/144 - (1193*t[14])/96 - 
       (211*t[15])/36 - t[19] + t[20] + t[21] - t[23] + 2*t[24] - t[29]/4 + 
       t[30]/2 - (11*t[32])/4 + t[33]/2 + t[34]/2 + t[35] + (3*t[37])/2 + 
       t[40] + t[41]/2 - t[42]/2 + t[43]/4 + (5*t[44])/8 - t[47]/2 + 
       (5*t[48])/4 + (5*t[49])/16 - (17*t[50])/4 - (13*t[51])/32 + 
       (15*t[52])/4 - (5*t[53])/16 - (5*t[54])/4 - (3*t[59])/4 - 
       (79*t[60])/8 - (101*t[61])/4 + (191*t[62])/8 + (113*t[63])/8 + 
       (43*t[64])/8 - (9*t[65])/8 + (419*t[66])/24 + t[69] - t[70] + t[71] - 
       t[72] - t[73] - t[74]/2 + 3*t[75] + (3*t[76])/2 - t[77]/2 - 
       (9*t[78])/2 + 2*t[79] - t[80] + (3*t[81])/4 + (7*t[82])/4 - 
       (9*t[83])/2 - (31*t[84])/8 + (13*t[85])/4 - 23*t[86] + t[87]/2 - 
       (17*t[88])/4 + (109*t[89])/16 + t[95] + t[96] - t[97]/2 + 14*t[98] - 
       10*t[99] + 7*t[100]) + HPL[{0, 1}, 1 - u]*K1[u, v, w]*
      ((3*t[1])/4 + (3*t[2])/4 + (5*t[3])/4 - t[4]/8 - (3*t[5])/16 + 
       (63*t[6])/16 - (15*t[7])/4 + (3*t[8])/4 - (49*t[9])/16 - 
       (69*t[11])/16 - (37*t[12])/16 + t[13] - (89*t[14])/32 + 
       (17*t[15])/96 - t[25] + t[26]/2 + t[28] + t[30] + 2*t[31] - 2*t[35] + 
       (3*t[36])/2 - t[37]/2 + t[38]/2 - t[39] - t[43]/2 - t[45]/2 + t[46] + 
       t[47] + (7*t[48])/16 + (7*t[49])/8 - t[50]/16 - (7*t[51])/32 + 
       (17*t[52])/16 + (15*t[53])/8 + (63*t[54])/16 - (3*t[59])/4 - 
       (79*t[60])/8 - (101*t[61])/4 + (191*t[62])/8 + (113*t[63])/8 + 
       (43*t[64])/8 - (9*t[65])/8 + (419*t[66])/24 + t[69] - t[70] + t[71] - 
       t[72] - t[73] - t[74]/2 + 3*t[75] + (3*t[76])/2 - t[77]/2 - 
       (9*t[78])/2 + 2*t[79] - t[80] + (3*t[81])/4 + (7*t[82])/4 - 
       (9*t[83])/2 - (31*t[84])/8 + (13*t[85])/4 - 23*t[86] + t[87]/2 - 
       (17*t[88])/4 + (109*t[89])/16 + t[95] + t[96] - t[97]/2 + 14*t[98] - 
       10*t[99] + 7*t[100]) + H1[u, v, w]*HPL[{0, 1}, 1 - u]*
      ((3*t[2])/2 + (11*t[3])/8 - t[4]/4 + (37*t[5])/8 + 2*t[6] - 
       (9*t[7])/4 - (5*t[8])/4 - (15*t[9])/8 + (17*t[10])/8 - (39*t[11])/8 - 
       (9*t[12])/4 + (17*t[13])/144 + (61*t[14])/48 + (19*t[15])/6 + 
       (5*t[28])/2 + t[29]/2 + (3*t[31])/2 - (7*t[35])/2 + 2*t[36] - 
       t[37]/2 - t[41]/4 + t[42]/4 - t[44] - t[47]/2 - (5*t[48])/8 + 
       t[49]/8 + t[50]/8 - t[51]/16 - t[52]/8 - t[53]/8 + (5*t[54])/8 - 
       t[60]/2 - 8*t[61] + (55*t[62])/4 + (29*t[63])/4 + (3*t[64])/2 - 
       (2*t[65])/3 + (43*t[66])/3 + t[69] + 3*t[75] + 4*t[79] - t[80] + 
       2*t[82] - 5*t[83] - 19*t[86] + (11*t[89])/2 + 2*t[99] + 7*t[100]) + 
     H1[v, w, u]*HPL[{0, 1}, 1 - u]*((-15*t[2])/2 - (17*t[3])/8 - 
       (7*t[4])/4 - (3*t[5])/8 - t[6]/2 - (29*t[7])/4 - (21*t[8])/4 - 
       (63*t[9])/8 + (63*t[10])/8 - (75*t[11])/8 - (3*t[12])/2 - 
       (51*t[13])/16 - (233*t[14])/48 - (14*t[15])/3 - (3*t[28])/2 - 
       (3*t[29])/2 - t[31]/2 + (5*t[35])/2 + (3*t[37])/2 + (3*t[41])/4 - 
       (3*t[42])/4 + t[44] + (3*t[47])/2 + (19*t[48])/8 - (5*t[49])/8 - 
       (15*t[50])/8 + (5*t[51])/16 + (15*t[52])/8 + (5*t[53])/8 + 
       (17*t[54])/8 - t[60]/2 - 8*t[61] + (55*t[62])/4 + (29*t[63])/4 + 
       (3*t[64])/2 - (2*t[65])/3 + (43*t[66])/3 + t[69] + 3*t[75] + 4*t[79] - 
       t[80] + 2*t[82] - 5*t[83] - 19*t[86] + (11*t[89])/2 + 2*t[99] + 
       7*t[100]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - w]*(9*t[2] + (131*t[3])/8 + 
       (5*t[4])/2 + (85*t[5])/8 - (27*t[6])/4 + 14*t[7] - (23*t[8])/2 - 
       (57*t[9])/8 - (63*t[10])/4 + 14*t[11] + (7*t[12])/8 + (26*t[13])/9 - 
       (307*t[14])/48 + (35*t[15])/6 + 2*t[20] - 2*t[22] - 2*t[28] - 
       t[29]/2 + 3*t[30] + (7*t[32])/2 - 2*t[33] - 2*t[34] + 2*t[35] - 
       2*t[37] - t[41] + t[42] + (17*t[44])/4 - 2*t[47] - (19*t[48])/4 + 
       (5*t[49])/4 + (19*t[50])/4 + (3*t[51])/16 - (19*t[52])/4 - 
       (5*t[53])/4 - (29*t[54])/2 - t[59] - (15*t[60])/2 - 3*t[61] + 
       4*t[62] + (31*t[63])/2 - 27*t[64] - (31*t[65])/3 + (95*t[66])/6 + 
       2*t[69] - 4*t[73] - 4*t[74] + 5*t[75] - 6*t[79] + 2*t[80] - t[81]/2 + 
       t[82]/2 + 3*t[83] - (15*t[84])/2 - (19*t[85])/4 + 6*t[86] - 
       (13*t[87])/4 - (13*t[88])/8 - 13*t[89] + 16*t[99] + 7*t[100]) + 
     F1[w, u, v]*HPL[{0, 1, 1}, 1 - v]*(2*t[1] + t[3]/2 - (37*t[4])/4 + 
       (9*t[5])/8 + (11*t[6])/4 - (19*t[7])/4 + (53*t[8])/4 - (25*t[9])/8 + 
       7*t[10] - (67*t[11])/4 - (35*t[12])/8 - (299*t[13])/24 + t[14]/16 + 
       (5*t[15])/16 - 4*t[25] + 2*t[26] + (3*t[29])/2 + 2*t[38] - 
       (13*t[44])/4 - (3*t[46])/2 + (3*t[48])/4 + (3*t[49])/2 - (9*t[50])/4 + 
       (49*t[51])/16 + (9*t[52])/4 + t[53] + (19*t[54])/2 - t[59] - 
       (15*t[60])/2 - 3*t[61] + 4*t[62] + (31*t[63])/2 - 27*t[64] - 
       (31*t[65])/3 + (95*t[66])/6 + 2*t[69] - 4*t[73] - 4*t[74] + 5*t[75] - 
       6*t[79] + 2*t[80] - t[81]/2 + t[82]/2 + 3*t[83] - (15*t[84])/2 - 
       (19*t[85])/4 + 6*t[86] - (13*t[87])/4 - (13*t[88])/8 - 13*t[89] + 
       16*t[99] + 7*t[100]) + F1[v, w, u]*HPL[{0, 0, 1}, 1 - v]*
      ((27*t[2])/2 + (157*t[3])/16 + (19*t[4])/4 + (123*t[5])/8 - 
       (3*t[6])/2 - (45*t[7])/8 - (9*t[8])/8 - (55*t[9])/8 - (57*t[10])/8 + 
       (35*t[11])/4 - (15*t[12])/8 + (1025*t[13])/144 - (169*t[14])/48 + 
       (1405*t[15])/288 - t[20] + t[22] + 2*t[28] - (11*t[29])/4 + 
       (7*t[30])/2 + (3*t[32])/4 - 2*t[33] + t[34] - 2*t[35] - 2*t[37] - 
       t[41] + t[42] - (9*t[44])/8 - 2*t[47] - (23*t[48])/8 + (5*t[49])/8 - 
       (15*t[50])/8 - (5*t[51])/16 + (15*t[52])/8 - (5*t[53])/8 - 9*t[54] - 
       (3*t[59])/2 - (11*t[60])/2 - (119*t[61])/8 + (181*t[62])/16 - 
       (81*t[63])/16 - (289*t[64])/16 - (143*t[65])/24 - t[66]/8 - 2*t[69] - 
       2*t[73] - 5*t[75] - 3*t[79] + 2*t[80] - (3*t[83])/2 - (29*t[84])/8 - 
       (17*t[85])/8 - 7*t[86] + (11*t[87])/8 - (5*t[88])/16 - (43*t[89])/8 - 
       2*t[95] + 10*t[99] + 10*t[100]) + F1[w, u, v]*HPL[{0, 0, 1}, 1 - w]*
      (3*t[1] + (5*t[3])/4 - (101*t[4])/8 + (5*t[5])/4 - (7*t[6])/8 - 
       (5*t[7])/2 - 5*t[8] - (3*t[9])/2 - (49*t[10])/8 - 7*t[11] - 
       (11*t[12])/4 - (11*t[13])/8 - (205*t[14])/32 - (11*t[15])/24 - 
       2*t[25] - t[26] - t[28] - t[31] + t[35] - t[36] + 3*t[38] - 
       (15*t[48])/8 - t[49] - (3*t[50])/8 + (109*t[51])/32 + (3*t[52])/8 + 
       (7*t[53])/4 + (19*t[54])/4 - (3*t[59])/2 - (11*t[60])/2 - 
       (119*t[61])/8 + (181*t[62])/16 - (81*t[63])/16 - (289*t[64])/16 - 
       (143*t[65])/24 - t[66]/8 - 2*t[69] - 2*t[73] - 5*t[75] - 3*t[79] + 
       2*t[80] - (3*t[83])/2 - (29*t[84])/8 - (17*t[85])/8 - 7*t[86] + 
       (11*t[87])/8 - (5*t[88])/16 - (43*t[89])/8 - 2*t[95] + 10*t[99] + 
       10*t[100]) + HPL[{0, 1}, 1 - v]*K1[u, v, w]*
      ((-3*t[1])/4 - (3*t[2])/4 + (3*t[3])/4 + (73*t[4])/8 + (75*t[5])/16 + 
       (89*t[6])/16 - (7*t[7])/2 + 9*t[8] - (23*t[9])/16 + (23*t[10])/4 + 
       (21*t[11])/16 - (3*t[12])/16 + (7*t[13])/6 + (607*t[14])/96 + 
       (13*t[15])/32 + t[25] - t[26]/2 + 3*t[28] - t[30] - 2*t[35] - 
       t[36]/2 + t[37]/2 - t[38]/2 + t[39] - t[43]/2 + t[45]/2 - t[46]/2 - 
       t[47] + (57*t[48])/16 - (7*t[49])/8 - (63*t[50])/16 - (5*t[51])/32 + 
       (47*t[52])/16 - (15*t[53])/8 + (33*t[54])/16 + (3*t[59])/4 + 
       (87*t[60])/8 + (9*t[61])/4 - (27*t[62])/8 + (27*t[63])/8 - 
       (31*t[64])/8 + (35*t[65])/24 + (317*t[66])/24 + t[69] + t[70] - 
       t[71] + t[72] - 3*t[73] - t[74]/2 - (7*t[76])/2 + t[77]/2 + 
       (7*t[78])/2 - 4*t[79] - 5*t[80] - (3*t[81])/4 + (9*t[82])/4 - 
       11*t[83] + (23*t[84])/8 - (9*t[85])/4 - 12*t[86] - (7*t[87])/2 + 
       (11*t[88])/4 + (67*t[89])/16 - t[95] - t[96] + t[97]/2 - 22*t[98] + 
       14*t[99] + 10*t[100]) + HPL[{0, 1}, 1 - w]*K1[v, w, u]*
      (t[1]/4 - (37*t[2])/8 - (147*t[3])/16 - (45*t[4])/8 - (29*t[5])/16 + 
       (43*t[6])/8 - (31*t[7])/8 + (51*t[8])/8 - (141*t[9])/16 + 
       (97*t[10])/16 - (79*t[11])/8 + (7*t[12])/8 - (701*t[13])/144 - 
       (95*t[14])/96 + (41*t[15])/72 + t[19] - t[21] + t[23] - 3*t[28] + 
       t[29]/4 - t[30]/2 + (15*t[32])/4 - t[33]/2 - t[34]/2 + 2*t[35] + 
       t[37]/2 - t[39] - t[40] + t[41]/2 - t[42]/2 - t[43]/4 - (5*t[44])/8 + 
       2*t[45] - (5*t[47])/2 + (9*t[48])/4 - (29*t[49])/16 - t[50]/4 + 
       (37*t[51])/32 + (7*t[52])/4 + (29*t[53])/16 + (35*t[54])/4 + 
       (3*t[59])/4 + (87*t[60])/8 + (9*t[61])/4 - (27*t[62])/8 + 
       (27*t[63])/8 - (31*t[64])/8 + (35*t[65])/24 + (317*t[66])/24 + t[69] + 
       t[70] - t[71] + t[72] - 3*t[73] - t[74]/2 - (7*t[76])/2 + t[77]/2 + 
       (7*t[78])/2 - 4*t[79] - 5*t[80] - (3*t[81])/4 + (9*t[82])/4 - 
       11*t[83] + (23*t[84])/8 - (9*t[85])/4 - 12*t[86] - (7*t[87])/2 + 
       (11*t[88])/4 + (67*t[89])/16 - t[95] - t[96] + t[97]/2 - 22*t[98] + 
       14*t[99] + 10*t[100]) + H1[u, v, w]*HPL[{0, 1}, 1 - v]*
      ((3*t[2])/2 + (11*t[3])/8 + (3*t[4])/4 + (27*t[5])/8 + (3*t[6])/2 + 
       t[7]/4 - (3*t[8])/4 - (13*t[9])/8 - (7*t[10])/8 + (17*t[11])/8 + 
       t[12] + (209*t[13])/144 + (53*t[14])/48 + (21*t[15])/8 + (5*t[28])/2 - 
       t[29]/2 + (3*t[31])/2 - (7*t[35])/2 - t[36] - t[37]/2 - t[41]/4 + 
       t[42]/4 + t[44] - t[47]/2 - t[48]/8 - (3*t[49])/8 + (5*t[50])/8 + 
       (3*t[51])/16 - (5*t[52])/8 + (3*t[53])/8 - (7*t[54])/8 - (5*t[60])/2 - 
       7*t[61] + (25*t[62])/4 + (19*t[63])/4 + 9*t[64] + (5*t[65])/3 + 
       (28*t[66])/3 - 2*t[69] + t[75] + t[79] - t[80] + 2*t[82] - 
       (39*t[83])/4 - 9*t[86] + 3*t[89] - 10*t[99] + (23*t[100])/2) + 
     H1[v, w, u]*HPL[{0, 1}, 1 - w]*((-15*t[2])/2 - (17*t[3])/8 - 
       (11*t[4])/4 - (13*t[5])/8 - (19*t[7])/4 - (3*t[8])/4 - (45*t[9])/8 + 
       (47*t[10])/8 - (59*t[11])/8 - t[12]/4 - (217*t[13])/48 - 
       (107*t[14])/16 - (101*t[15])/24 + t[28]/2 + (3*t[29])/2 - t[31]/2 - 
       (3*t[35])/2 + (3*t[37])/2 + (3*t[41])/4 - (3*t[42])/4 - t[44] + 
       (3*t[47])/2 + (15*t[48])/8 - t[49]/8 - (19*t[50])/8 + t[51]/16 + 
       (19*t[52])/8 + t[53]/8 + (29*t[54])/8 - (5*t[60])/2 - 7*t[61] + 
       (25*t[62])/4 + (19*t[63])/4 + 9*t[64] + (5*t[65])/3 + (28*t[66])/3 - 
       2*t[69] + t[75] + t[79] - t[80] + 2*t[82] - (39*t[83])/4 - 9*t[86] + 
       3*t[89] - 10*t[99] + (23*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      J1[w, u, v]*(t[5]/2 - t[7] - t[8] - t[9]/2 + t[10] - t[11] - t[12]/2 - 
       t[14]/24 + t[15]/12 - (7*t[35])/8 - (7*t[36])/8 - 2*t[61] + 3*t[62] + 
       t[63] - 3*t[64] + t[65]/6 + 2*t[66] - t[75]/8 + t[79]/2 - 
       (19*t[83])/16 - 4*t[86] + t[89] - (3*t[99])/4 + (93*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[w, u, v]*(t[5]/2 - t[7] - t[8] - 
       t[9]/2 + t[10] - t[11] - t[12]/2 - t[14]/6 + t[15]/3 + (3*t[28])/4 + 
       t[31]/8 - t[35]/8 - t[36]/8 - 2*t[61] + 3*t[62] + t[63] - 3*t[64] + 
       t[65]/6 + 2*t[66] - t[75]/8 + t[79]/2 - (19*t[83])/16 - 4*t[86] + 
       t[89] - (3*t[99])/4 + (93*t[100])/8) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      K1[v, w, u]*((-11*t[2])/2 - t[3]/4 - (11*t[4])/2 - (11*t[5])/4 - 
       (15*t[6])/4 - (19*t[7])/4 - (13*t[8])/2 - (15*t[9])/2 + t[10] - 
       (33*t[11])/4 - t[12]/4 - (37*t[13])/8 - (241*t[14])/24 - 
       (103*t[15])/24 - t[20] - t[21] + t[23] - 2*t[28] - t[31] - t[33] + 
       t[35] + t[37] - t[39] + t[40] + 2*t[47] + (3*t[48])/4 - (3*t[49])/4 - 
       (3*t[50])/4 + (3*t[51])/8 - t[52]/4 + (3*t[53])/4 + (9*t[54])/4 - 
       6*t[60] - 18*t[61] + (35*t[62])/8 + (101*t[63])/8 + 16*t[64] + 
       5*t[65] + (53*t[66])/3 - t[72] - t[73] - t[74] - 2*t[75] - t[76] - 
       t[77]/2 - t[78] + t[79] - 2*t[80] - t[81]/2 + (5*t[82])/2 - 3*t[83] - 
       (3*t[84])/4 - 8*t[86] + (7*t[87])/2 + (7*t[88])/4 + (15*t[89])/2 + 
       2*t[98] - 10*t[99] + 13*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      K1[u, v, w]*(-t[1]/2 + (9*t[3])/4 + (5*t[4])/4 + (19*t[5])/4 + 3*t[6] - 
       (13*t[7])/4 + (15*t[8])/4 - (9*t[9])/4 + (35*t[10])/8 - 7*t[11] - 
       (9*t[12])/8 - (23*t[13])/9 - (29*t[14])/16 - (11*t[15])/24 - t[35] + 
       3*t[36] + t[37] - t[43]/2 - t[46]/2 + 2*t[48] + (7*t[49])/8 - 
       2*t[50] - t[51]/16 + 2*t[52] - (7*t[53])/8 + (13*t[54])/4 - 6*t[60] - 
       18*t[61] + (35*t[62])/8 + (101*t[63])/8 + 16*t[64] + 5*t[65] + 
       (53*t[66])/3 - t[72] - t[73] - t[74] - 2*t[75] - t[76] - t[77]/2 - 
       t[78] + t[79] - 2*t[80] - t[81]/2 + (5*t[82])/2 - 3*t[83] - 
       (3*t[84])/4 - 8*t[86] + (7*t[87])/2 + (7*t[88])/4 + (15*t[89])/2 + 
       2*t[98] - 10*t[99] + 13*t[100]) + F1[v, w, u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*(-t[1] + (17*t[2])/4 + (7*t[3])/2 + (35*t[4])/16 - 
       (17*t[5])/4 + (55*t[6])/8 + (3*t[7])/2 - (13*t[8])/2 + (53*t[9])/4 - 
       (243*t[10])/32 + (11*t[11])/8 + (69*t[12])/32 + (841*t[13])/144 - 
       (185*t[14])/192 + (119*t[15])/288 - t[27] + 4*t[28] - t[29] + t[31] + 
       t[34] - 3*t[35] - t[37] - t[38]/2 - t[39]/2 - t[40] - t[41] + t[42] + 
       t[43]/2 + t[44] - t[45] - t[46] + t[47] - (19*t[48])/8 - 
       (189*t[49])/32 + (25*t[50])/8 + (241*t[51])/64 - (17*t[52])/8 + 
       (125*t[53])/32 + (17*t[54])/16 - t[59]/2 + (203*t[60])/16 - 
       (303*t[61])/16 + (547*t[62])/32 + (29*t[63])/32 - (807*t[64])/32 + 
       (425*t[65])/48 + (45*t[66])/16 - t[69] - t[72] - t[73] - 2*t[75] - 
       3*t[76] + 3*t[78] - 3*t[79] + t[80] + 2*t[81] - (9*t[82])/2 - 
       9*t[83] + (109*t[84])/16 + (149*t[85])/16 - 7*t[86] - (109*t[87])/16 - 
       (109*t[88])/32 + (185*t[89])/32 - 3*t[96] - 2*t[97] - 10*t[98] + 
       8*t[99] + 13*t[100]) + F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (-t[1] - (5*t[2])/8 + t[3]/4 - (5*t[4])/2 - (57*t[5])/8 + 
       (189*t[6])/32 - (19*t[7])/2 - (3*t[8])/8 - (9*t[9])/16 - 
       (13*t[10])/2 - (317*t[11])/32 - (23*t[12])/8 - (15*t[13])/8 - 
       (73*t[14])/32 - (391*t[15])/288 - t[27] - t[28] + (3*t[29])/2 + 
       t[30]/2 - t[31] - t[32]/2 + t[33]/2 + t[34] - (3*t[36])/2 - t[38]/2 - 
       t[39] + t[40]/4 - t[41]/2 + t[42]/2 + t[43]/2 - t[44]/4 + t[46]/4 - 
       t[47]/2 - (21*t[48])/32 - (5*t[49])/4 - (33*t[50])/32 + (5*t[51])/16 + 
       (65*t[52])/32 - (3*t[53])/4 + (117*t[54])/32 - t[59]/2 + 
       (203*t[60])/16 - (303*t[61])/16 + (547*t[62])/32 + (29*t[63])/32 - 
       (807*t[64])/32 + (425*t[65])/48 + (45*t[66])/16 - t[69] - t[72] - 
       t[73] - 2*t[75] - 3*t[76] + 3*t[78] - 3*t[79] + t[80] + 2*t[81] - 
       (9*t[82])/2 - 9*t[83] + (109*t[84])/16 + (149*t[85])/16 - 7*t[86] - 
       (109*t[87])/16 - (109*t[88])/32 + (185*t[89])/32 - 3*t[96] - 2*t[97] - 
       10*t[98] + 8*t[99] + 13*t[100]) + HPL[{0, 1}, 1 - v]*J1[u, v, w]*
      ((-9*t[2])/8 + (21*t[3])/32 + (5*t[4])/16 + (61*t[5])/32 + (7*t[6])/8 - 
       (13*t[7])/16 - (25*t[8])/16 - (51*t[9])/32 + (39*t[10])/32 - 
       (9*t[11])/32 + (31*t[13])/576 - (253*t[14])/192 - (5*t[15])/32 + 
       (11*t[28])/8 + t[29]/8 + (5*t[31])/8 - (9*t[35])/8 - (3*t[36])/4 + 
       t[37]/8 + t[41]/16 - t[42]/16 + (3*t[44])/4 + t[47]/8 + 
       (25*t[48])/32 - (5*t[49])/32 - (13*t[50])/32 + (5*t[51])/64 + 
       (13*t[52])/32 + (5*t[53])/32 - t[54]/32 - (15*t[60])/8 - 
       (19*t[61])/4 + (87*t[62])/16 + (61*t[63])/16 + 6*t[64] + 
       (17*t[65])/12 + (15*t[66])/2 - t[69]/2 - t[75]/4 + (3*t[79])/4 - 
       (3*t[80])/4 + (3*t[82])/2 - (57*t[83])/16 - (31*t[86])/4 + 
       (5*t[89])/2 - (15*t[99])/2 + (113*t[100])/8) + 
     HPL[{0, 1}, 1 - w]*J1[v, w, u]*((-27*t[2])/8 - (39*t[3])/32 - 
       (29*t[4])/16 - (11*t[5])/32 + t[6]/4 - (49*t[7])/16 - t[8]/16 - 
       (131*t[9])/32 + (97*t[10])/32 - (133*t[11])/32 - (11*t[12])/16 - 
       (1357*t[13])/576 - (157*t[14])/64 - (95*t[15])/96 - t[28]/8 + 
       (5*t[29])/8 + t[31]/8 - (5*t[35])/8 + (5*t[37])/8 + (5*t[41])/16 - 
       (5*t[42])/16 - (3*t[44])/4 + (5*t[47])/8 + (17*t[48])/32 - 
       (7*t[49])/32 - (29*t[50])/32 + (7*t[51])/64 + (29*t[52])/32 + 
       (7*t[53])/32 + (67*t[54])/32 - (15*t[60])/8 - (19*t[61])/4 + 
       (87*t[62])/16 + (61*t[63])/16 + 6*t[64] + (17*t[65])/12 + 
       (15*t[66])/2 - t[69]/2 - t[75]/4 + (3*t[79])/4 - (3*t[80])/4 + 
       (3*t[82])/2 - (57*t[83])/16 - (31*t[86])/4 + (5*t[89])/2 - 
       (15*t[99])/2 + (113*t[100])/8) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w]*((9*t[2])/4 + (3*t[3])/2 - (9*t[4])/4 + (41*t[5])/16 - 
       (7*t[6])/16 + t[7]/4 - (7*t[8])/2 + (33*t[9])/16 - (11*t[10])/8 - 
       (31*t[11])/16 + t[12]/16 - (301*t[13])/144 + t[14]/4 + (69*t[15])/32 - 
       t[25] + t[26] + (3*t[28])/2 + t[29]/2 - t[35] - t[36]/2 - t[37]/2 - 
       t[41]/4 + t[42]/4 - t[44] + (3*t[46])/4 - t[47]/2 - (19*t[48])/16 - 
       (7*t[49])/8 + (17*t[50])/16 - (5*t[51])/8 - (17*t[52])/16 + 
       (7*t[53])/8 - (9*t[54])/16 - (11*t[60])/8 - (73*t[61])/8 + 
       (97*t[62])/16 + (83*t[63])/16 - (87*t[64])/16 - (7*t[65])/3 + 
       (131*t[66])/12 - t[73] - t[74]/2 + 3*t[75] - 2*t[79] - t[81]/4 + 
       t[82]/4 - (25*t[83])/4 - (3*t[84])/2 - (7*t[85])/8 - 5*t[86] - 
       (5*t[87])/8 - (5*t[88])/16 + (23*t[89])/16 + t[99] + (31*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-21*t[2])/8 + (9*t[3])/4 + t[4]/8 + (19*t[5])/16 + t[6]/8 - 
       (9*t[7])/4 - t[8] - (111*t[9])/16 + (71*t[10])/16 - (9*t[11])/2 - 
       (3*t[12])/2 - (359*t[13])/144 - (419*t[14])/96 - (259*t[15])/96 + 
       t[20]/2 - t[28]/2 - t[29]/2 + t[30] - t[31]/2 + t[33]/2 + 2*t[35] - 
       t[36] + t[37]/2 + t[41]/4 - t[42]/4 + t[44]/2 + t[46]/4 + t[47]/2 + 
       (9*t[48])/8 + (13*t[49])/16 - (9*t[50])/8 - (7*t[51])/32 + 
       (9*t[52])/8 - (13*t[53])/16 + (3*t[54])/4 - (11*t[60])/8 - 
       (73*t[61])/8 + (97*t[62])/16 + (83*t[63])/16 - (87*t[64])/16 - 
       (7*t[65])/3 + (131*t[66])/12 - t[73] - t[74]/2 + 3*t[75] - 2*t[79] - 
       t[81]/4 + t[82]/4 - (25*t[83])/4 - (3*t[84])/2 - (7*t[85])/8 - 
       5*t[86] - (5*t[87])/8 - (5*t[88])/16 + (23*t[89])/16 + t[99] + 
       (31*t[100])/2) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((9*t[2])/2 + (5*t[3])/4 - t[4]/4 - (9*t[5])/4 - 
       2*t[6] - t[7]/4 - (3*t[8])/4 + (21*t[9])/4 + (35*t[10])/8 - 
       (7*t[11])/2 + (19*t[12])/8 - (119*t[13])/72 + (193*t[14])/48 + 
       (67*t[15])/24 + t[20] - t[28] + t[30] + t[31] + t[32] - t[33] + 
       3*t[35] - t[37] - t[41]/2 + t[42]/2 - t[43]/2 + t[45] + t[46]/2 - 
       3*t[47] - (7*t[48])/4 + (3*t[49])/8 + (7*t[50])/4 - (13*t[51])/16 - 
       (7*t[52])/4 - (3*t[53])/8 - (3*t[54])/2 - t[61] - (21*t[62])/4 + 
       (49*t[63])/4 - (71*t[64])/2 + (37*t[65])/6 - (5*t[66])/2 + 2*t[69] - 
       2*t[72] - 2*t[73] - 2*t[74] - 2*t[76] + 4*t[78] - 7*t[79] - 2*t[80] - 
       4*t[82] + 2*t[83] - 2*t[85] + 7*t[86] - 5*t[89] - 18*t[98] + 
       26*t[99] + 16*t[100]) + H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      (-t[5]/4 + t[7]/2 + t[8]/2 + t[9]/4 - t[10]/2 + t[11]/2 + t[12]/4 + 
       t[14]/12 - (3*t[15])/8 + t[28] + (3*t[31])/2 - (3*t[35])/2 - 
       (3*t[36])/2 + t[61] - (3*t[62])/2 - t[63]/2 + (3*t[64])/2 - t[65] - 
       t[66] + t[75]/2 - 4*t[79] + (7*t[83])/4 + 2*t[86] - t[89]/2 - 
       9*t[99] + (39*t[100])/2) + H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (-t[5]/4 + t[7]/2 + t[8]/2 + t[9]/4 - t[10]/2 + t[11]/2 + t[12]/4 + 
       (19*t[14])/12 - t[15]/24 - t[35]/2 - t[36]/2 + t[61] - (3*t[62])/2 - 
       t[63]/2 + (3*t[64])/2 - t[65] - t[66] + t[75]/2 - 4*t[79] + 
       (7*t[83])/4 + 2*t[86] - t[89]/2 - 9*t[99] + (39*t[100])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*(-t[1]/4 - (5*t[2])/8 + 
       (119*t[3])/16 + (15*t[4])/8 + t[5]/16 - (63*t[6])/8 + (33*t[7])/8 - 
       (117*t[8])/8 + (125*t[9])/16 - (15*t[10])/16 + (37*t[11])/8 - 
       (3*t[12])/2 - (47*t[13])/144 - (31*t[14])/96 - (55*t[15])/24 - t[19] + 
       t[21] - t[23] + 4*t[28] + (3*t[29])/4 + (3*t[30])/2 - (15*t[32])/4 + 
       t[33]/2 + t[34]/2 - 3*t[35] + t[37]/2 + t[39] + t[40] + t[43]/4 - 
       (11*t[44])/8 - 2*t[45] + (7*t[47])/2 - (17*t[48])/4 + (23*t[49])/16 + 
       (5*t[50])/4 - (31*t[51])/32 - (11*t[52])/4 - (23*t[53])/16 - 
       (15*t[54])/2 - (3*t[59])/4 - (81*t[60])/8 - 10*t[61] + (33*t[62])/4 + 
       (35*t[63])/4 + (13*t[64])/4 - (175*t[65])/24 - (29*t[66])/24 - 
       2*t[69] - t[70] + t[71] - t[72] + t[73] + t[74]/2 + 4*t[75] + 
       (7*t[76])/2 - t[77]/2 - (7*t[78])/2 + 2*t[79] + 4*t[80] + t[81]/4 + 
       t[82]/4 + 3*t[83] - (31*t[84])/8 + t[85] + 3*t[86] - (3*t[87])/4 - 
       (39*t[88])/8 - (65*t[89])/16 + t[95] + t[96] - t[97]/2 + 22*t[98] - 
       24*t[99] + (41*t[100])/2) + F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((3*t[1])/4 + t[3]/2 - (33*t[4])/8 - (19*t[5])/16 - 
       (71*t[6])/16 + (11*t[7])/4 - (45*t[8])/4 - (29*t[9])/16 - 
       (11*t[10])/4 - (47*t[11])/16 - (49*t[12])/16 - (79*t[13])/24 - 
       (395*t[14])/96 - (13*t[15])/32 - t[25] + t[26]/2 - t[28] + t[30] + 
       t[31] - (7*t[36])/2 - t[37]/2 + t[38]/2 - t[39] + t[43]/2 + t[44] - 
       t[45]/2 + t[47] - (43*t[48])/16 + (33*t[49])/8 + (69*t[50])/16 - 
       (35*t[51])/32 - (53*t[52])/16 - (11*t[53])/8 - (39*t[54])/16 - 
       (3*t[59])/4 - (81*t[60])/8 - 10*t[61] + (33*t[62])/4 + (35*t[63])/4 + 
       (13*t[64])/4 - (175*t[65])/24 - (29*t[66])/24 - 2*t[69] - t[70] + 
       t[71] - t[72] + t[73] + t[74]/2 + 4*t[75] + (7*t[76])/2 - t[77]/2 - 
       (7*t[78])/2 + 2*t[79] + 4*t[80] + t[81]/4 + t[82]/4 + 3*t[83] - 
       (31*t[84])/8 + t[85] + 3*t[86] - (3*t[87])/4 - (39*t[88])/8 - 
       (65*t[89])/16 + t[95] + t[96] - t[97]/2 + 22*t[98] - 24*t[99] + 
       (41*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      ((23*t[2])/8 + (25*t[3])/16 - (7*t[4])/4 + (119*t[5])/16 - 
       (23*t[6])/16 - (7*t[7])/4 - (27*t[8])/8 - 5*t[9] - (17*t[10])/4 - 
       (73*t[11])/16 - (5*t[12])/4 - (5*t[13])/16 - (707*t[14])/96 + 
       (37*t[15])/96 + t[27] + t[28] - t[35]/2 - (3*t[36])/4 + t[44] + 
       (3*t[46])/8 - (3*t[48])/8 + t[49]/4 + (5*t[50])/8 - (11*t[51])/32 - 
       (5*t[52])/8 - t[53]/4 - (11*t[54])/4 - 7*t[60] - (37*t[61])/4 + 
       (75*t[62])/4 + 2*t[63] - (15*t[64])/4 + (15*t[65])/8 + 
       (361*t[66])/24 + 4*t[73] - 4*t[75] + 2*t[76] - 2*t[79] - (5*t[81])/4 + 
       (13*t[82])/4 - (7*t[83])/4 - (5*t[84])/8 - t[85]/2 - 6*t[86] + 
       (9*t[87])/4 + (9*t[88])/8 - (3*t[89])/2 + 4*t[98] - 12*t[99] + 
       22*t[100]) + HPL[{0, 1}, 1 - w]*J1[w, u, v]*((-27*t[3])/32 - 
       (7*t[4])/16 - (27*t[5])/32 - (11*t[6])/8 - (39*t[7])/16 - 
       (27*t[8])/16 - (23*t[9])/32 + (127*t[10])/32 - (97*t[11])/32 - t[12] - 
       (473*t[13])/576 - (137*t[14])/192 - (5*t[15])/96 + (7*t[28])/8 + 
       t[29]/8 + t[31]/8 - (9*t[35])/8 + t[37]/8 + t[41]/16 - t[42]/16 - 
       (3*t[44])/4 + t[47]/8 + t[48]/32 + (7*t[49])/32 + (11*t[50])/32 - 
       (7*t[51])/64 - (11*t[52])/32 - (7*t[53])/32 - t[54]/32 - 
       (31*t[60])/8 - (9*t[61])/2 + (7*t[62])/4 + (9*t[63])/2 + 
       (15*t[64])/4 + (103*t[65])/24 + (89*t[66])/24 + t[75]/4 - 
       (3*t[79])/4 - t[80]/4 - (3*t[82])/2 + (7*t[83])/16 - (3*t[84])/4 - 
       (3*t[85])/4 - (11*t[86])/4 + (9*t[87])/4 + (9*t[88])/8 + 3*t[89] + 
       (9*t[99])/2 + (197*t[100])/8) + HPL[{0, 1}, 1 - v]*J1[w, u, v]*
      ((-27*t[3])/32 - (7*t[4])/16 - (27*t[5])/32 - (11*t[6])/8 - 
       (39*t[7])/16 - (27*t[8])/16 - (23*t[9])/32 + (79*t[10])/32 - 
       (97*t[11])/32 - (3*t[12])/4 - (473*t[13])/576 - (113*t[14])/192 - 
       (29*t[15])/96 - (5*t[28])/8 + t[29]/8 + t[31]/8 + (7*t[35])/8 - 
       t[36]/4 + t[37]/8 + t[41]/16 - t[42]/16 - (3*t[44])/4 + t[47]/8 + 
       t[48]/32 + (7*t[49])/32 + (11*t[50])/32 - (7*t[51])/64 - 
       (11*t[52])/32 - (7*t[53])/32 - t[54]/32 - (31*t[60])/8 - (9*t[61])/2 + 
       (7*t[62])/4 + (9*t[63])/2 + (15*t[64])/4 + (103*t[65])/24 + 
       (89*t[66])/24 + t[75]/4 - (3*t[79])/4 - t[80]/4 - (3*t[82])/2 + 
       (7*t[83])/16 - (3*t[84])/4 - (3*t[85])/4 - (11*t[86])/4 + 
       (9*t[87])/4 + (9*t[88])/8 + 3*t[89] + (9*t[99])/2 + (197*t[100])/8) + 
     HPL[{0, 1}, 1 - w]^2*Phi6[u, v, w]*((-3*t[1])/8 + (31*t[2])/16 - 
       (3*t[3])/32 + (51*t[4])/32 - (165*t[5])/64 - (17*t[6])/64 - 
       (145*t[7])/32 + (155*t[8])/32 - (61*t[9])/64 - (237*t[10])/64 + 
       (65*t[11])/64 - (77*t[12])/32 + (2021*t[13])/576 - (41*t[14])/384 - 
       (1649*t[15])/1152 - t[27] + t[28]/2 - t[29]/4 + (3*t[30])/4 - 
       t[31]/2 - t[32]/4 + t[33]/4 + t[34]/2 + (7*t[35])/2 - (3*t[36])/4 - 
       t[38]/4 - t[39] + t[40]/8 - t[41]/4 + t[42]/4 + (7*t[43])/16 - 
       (5*t[44])/8 - (7*t[45])/8 + t[46]/8 + (3*t[47])/2 + (127*t[48])/64 + 
       (55*t[49])/64 - (29*t[50])/64 - (55*t[51])/128 + (61*t[52])/64 - 
       (119*t[53])/64 + (15*t[54])/64 + (69*t[60])/8 - (87*t[61])/8 - 
       (51*t[62])/16 - (73*t[63])/16 + (103*t[64])/8 + (257*t[65])/24 - 
       (89*t[66])/8 - t[72] + t[73] - 2*t[76] + t[77]/4 + (11*t[78])/2 - 
       5*t[79] + 3*t[80] + (5*t[81])/2 - (27*t[82])/4 - (11*t[83])/4 + 
       (65*t[84])/16 + (49*t[85])/16 + 15*t[86] - (17*t[87])/16 - 
       (17*t[88])/32 + (37*t[89])/8 - (3*t[96])/2 - t[97] - 5*t[98] + 
       6*t[99] + 25*t[100]) + HPL[{0, 1}, 1 - v]^2*Phi6[u, v, w]*
      ((-3*t[1])/8 + (55*t[2])/16 - (51*t[3])/32 - (137*t[4])/32 - 
       (517*t[5])/64 + (39*t[6])/64 - (17*t[7])/32 + (123*t[8])/32 + 
       (435*t[9])/64 - (209*t[10])/64 - (191*t[11])/64 + (17*t[12])/32 + 
       (989*t[13])/576 + (667*t[14])/384 - (1769*t[15])/1152 - t[27] + 
       t[28]/2 - t[29]/4 + (3*t[30])/4 - t[31]/2 - t[32]/4 + t[33]/4 + 
       t[34]/2 - t[35]/2 + (5*t[36])/4 - t[38]/4 - t[39] + t[40]/8 - 
       t[41]/4 + t[42]/4 + (7*t[43])/16 + (11*t[44])/8 - (7*t[45])/8 - 
       (3*t[46])/8 + (3*t[47])/2 - (89*t[48])/64 - (229*t[49])/64 + 
       (11*t[50])/64 + (245*t[51])/128 + (21*t[52])/64 + (165*t[53])/64 + 
       (223*t[54])/64 + (69*t[60])/8 - (87*t[61])/8 - (51*t[62])/16 - 
       (73*t[63])/16 + (103*t[64])/8 + (257*t[65])/24 - (89*t[66])/8 - 
       t[72] + t[73] - 2*t[76] + t[77]/4 + (11*t[78])/2 - 5*t[79] + 3*t[80] + 
       (5*t[81])/2 - (27*t[82])/4 - (11*t[83])/4 + (65*t[84])/16 + 
       (49*t[85])/16 + 15*t[86] - (17*t[87])/16 - (17*t[88])/32 + 
       (37*t[89])/8 - (3*t[96])/2 - t[97] - 5*t[98] + 6*t[99] + 25*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (6*t[2] + 11*t[3] - (7*t[4])/4 + (23*t[5])/4 + 5*t[6] - (3*t[7])/2 + 
       11*t[8] - (75*t[9])/4 - (73*t[10])/8 - (29*t[11])/4 - t[12]/8 - 
       (29*t[13])/18 - (65*t[14])/12 + (17*t[15])/2 + 2*t[20] - 2*t[22] - 
       2*t[28] - 4*t[29] + 4*t[30] + 2*t[33] + 2*t[35] - 2*t[37] - t[41] + 
       t[42] + 4*t[44] - 2*t[47] - t[48]/2 + (3*t[49])/8 - (3*t[50])/2 + 
       (5*t[51])/8 + (3*t[52])/2 - (3*t[53])/8 + (5*t[54])/4 - (51*t[60])/4 - 
       11*t[61] + (95*t[62])/4 + (23*t[63])/4 - (107*t[64])/4 + 7*t[65] + 
       (119*t[66])/3 + 2*t[69] - 4*t[73] - 4*t[74] + 5*t[75] - 4*t[79] + 
       2*t[80] - (3*t[81])/2 + (3*t[82])/2 + 7*t[83] - 4*t[84] - 
       (9*t[85])/4 - 8*t[86] + (45*t[87])/4 + (45*t[88])/8 + (19*t[89])/8 + 
       8*t[99] + 26*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      Phi6[u, v, w]*((3*t[3])/4 - 9*t[4] + (9*t[5])/2 + (21*t[6])/8 - 
       (17*t[7])/2 + 9*t[8] - (31*t[9])/4 + t[10] - (119*t[11])/8 + 
       (5*t[12])/4 - 6*t[13] - 10*t[14] + (53*t[15])/24 - 4*t[25] + 4*t[26] + 
       (3*t[29])/2 + 2*t[36] - (13*t[44])/4 + (3*t[46])/2 + (13*t[48])/8 - 
       8*t[49] - (7*t[50])/8 + (15*t[51])/8 + (7*t[52])/8 + 8*t[53] + 
       (27*t[54])/8 - (51*t[60])/4 - 11*t[61] + (95*t[62])/4 + (23*t[63])/4 - 
       (107*t[64])/4 + 7*t[65] + (119*t[66])/3 + 2*t[69] - 4*t[73] - 
       4*t[74] + 5*t[75] - 4*t[79] + 2*t[80] - (3*t[81])/2 + (3*t[82])/2 + 
       7*t[83] - 4*t[84] - (9*t[85])/4 - 8*t[86] + (45*t[87])/4 + 
       (45*t[88])/8 + (19*t[89])/8 + 8*t[99] + 26*t[100]) + 
     F1[w, u, v]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*(t[1]/2 + (9*t[2])/4 + 
       3*t[3] - (3*t[4])/2 + (35*t[5])/4 - (13*t[6])/4 - (13*t[7])/4 - 
       (33*t[8])/4 - 7*t[9] - (33*t[11])/4 - (15*t[12])/4 - (43*t[13])/12 - 
       (35*t[14])/4 - t[15]/3 - t[25] + t[26]/2 + t[27] + t[28] + t[38]/2 + 
       t[44] - t[46]/2 - (5*t[48])/4 + (7*t[49])/4 + (7*t[50])/4 - 
       (7*t[52])/4 - (7*t[53])/4 - (15*t[54])/4 - t[59]/4 - 13*t[60] - 
       (67*t[61])/4 + (153*t[62])/8 + (45*t[63])/8 + (11*t[64])/8 - 
       (3*t[65])/4 + 24*t[66] - t[69]/2 + (7*t[73])/2 - 4*t[75] + 2*t[76] + 
       t[79]/4 - (3*t[81])/2 + (7*t[82])/2 + (9*t[83])/4 - (3*t[84])/2 - 
       (3*t[85])/4 - (27*t[86])/4 + (23*t[87])/4 + (23*t[88])/8 - 
       (7*t[89])/4 + 4*t[98] - 12*t[99] + (53*t[100])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((31*t[2])/8 + (3*t[3])/2 - (13*t[4])/4 + (55*t[5])/8 - (27*t[6])/8 - 
       (27*t[7])/8 - (37*t[8])/8 - (13*t[9])/2 - t[10] - (69*t[11])/8 - 
       (13*t[12])/8 - (7*t[13])/2 - (161*t[14])/16 + (5*t[15])/8 - t[20]/2 + 
       t[22]/2 + t[27] + t[32]/2 - t[33] + t[35]/2 - t[36] + t[44] + 
       t[46]/2 - (5*t[48])/8 + (3*t[49])/8 + (7*t[50])/8 - (5*t[51])/16 - 
       (7*t[52])/8 - (3*t[53])/8 - (21*t[54])/8 - t[59]/4 - 13*t[60] - 
       (67*t[61])/4 + (153*t[62])/8 + (45*t[63])/8 + (11*t[64])/8 - 
       (3*t[65])/4 + 24*t[66] - t[69]/2 + (7*t[73])/2 - 4*t[75] + 2*t[76] + 
       t[79]/4 - (3*t[81])/2 + (7*t[82])/2 + (9*t[83])/4 - (3*t[84])/2 - 
       (3*t[85])/4 - (27*t[86])/4 + (23*t[87])/4 + (23*t[88])/8 - 
       (7*t[89])/4 + 4*t[98] - 12*t[99] + (53*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[w, u, v]*(-t[3]/4 + t[5]/8 - 
       (7*t[7])/4 - (5*t[8])/4 + t[9]/8 - (3*t[11])/4 - t[12]/8 + 
       (31*t[13])/24 - (13*t[14])/8 + (25*t[15])/48 - t[35] + t[46]/2 - 
       (3*t[49])/4 - t[50]/2 + t[51]/4 + t[52]/2 + (3*t[53])/4 + t[54]/2 + 
       t[60]/2 - (7*t[61])/2 + (31*t[62])/4 - (7*t[63])/4 - 3*t[64] + 
       (23*t[65])/12 + (35*t[66])/12 + t[73] - 4*t[75] + t[81]/2 - t[82]/2 + 
       t[83] + t[84]/4 + t[85]/2 - 8*t[86] + 4*t[89] + (57*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[w, u, v]*(t[4] + (15*t[5])/8 + 
       2*t[6] - (21*t[7])/4 + (17*t[8])/4 - (19*t[9])/8 + (3*t[10])/2 - 
       (9*t[11])/4 - (9*t[12])/8 + (9*t[13])/8 - t[14]/2 + (5*t[15])/16 + 
       t[28] - t[44] + (7*t[48])/4 + t[49]/4 - (7*t[50])/4 - t[51]/8 + 
       (7*t[52])/4 - t[53]/4 + (5*t[54])/4 + t[60]/2 - (7*t[61])/2 + 
       (31*t[62])/4 - (7*t[63])/4 - 3*t[64] + (23*t[65])/12 + (35*t[66])/12 + 
       t[73] - 4*t[75] + t[81]/2 - t[82]/2 + t[83] + t[84]/4 + t[85]/2 - 
       8*t[86] + 4*t[89] + (57*t[100])/2) + F1[w, u, v]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*(t[1] + (9*t[2])/4 - t[3] + (23*t[4])/8 + 
       (15*t[5])/2 + 3*t[6] - (3*t[7])/4 - (47*t[8])/4 + 2*t[9] - t[10]/8 + 
       (53*t[11])/8 - (9*t[12])/4 + (7*t[13])/3 + (159*t[14])/32 - 
       (5*t[15])/12 - 2*t[25] + t[26] - t[27] + t[28] - t[30] - t[35] + 
       t[38] + 2*t[44] + t[46]/2 - (7*t[48])/4 - (5*t[49])/4 + (11*t[50])/4 - 
       (27*t[51])/32 - (11*t[52])/4 + t[53]/2 - (63*t[54])/8 - t[59]/2 + 
       (57*t[60])/4 + (59*t[61])/8 + (187*t[62])/16 - (23*t[63])/16 - 
       (167*t[64])/16 - (91*t[65])/24 + (31*t[66])/8 + t[69] + 3*t[73] + 
       4*t[75] + 3*t[76] - 2*t[79] - t[80] + t[81]/2 - (5*t[82])/2 - 
       10*t[83] + (35*t[84])/8 + (33*t[85])/8 - 18*t[86] - (39*t[87])/8 - 
       (39*t[88])/16 + (3*t[89])/4 - t[96] + 10*t[98] - 26*t[99] + 
       29*t[100]) + F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-3*t[2])/4 - (91*t[3])/16 - 2*t[4] - (19*t[5])/8 + (15*t[6])/4 + 
       (17*t[7])/8 - (67*t[8])/8 + (17*t[9])/8 + (9*t[10])/4 - 5*t[11] - 
       t[12]/4 - (529*t[13])/144 + (131*t[14])/24 - (911*t[15])/288 + t[20] - 
       t[22]/2 - t[27] + t[28] + t[29]/4 - (3*t[30])/2 + t[32]/4 + t[34] + 
       2*t[35] + t[37] + t[41]/2 - t[42]/2 + (23*t[44])/8 + t[47] - 
       (11*t[48])/8 - t[49]/2 + (5*t[50])/8 + t[51]/2 - (5*t[52])/8 + 
       t[53]/2 + (9*t[54])/4 - t[59]/2 + (57*t[60])/4 + (59*t[61])/8 + 
       (187*t[62])/16 - (23*t[63])/16 - (167*t[64])/16 - (91*t[65])/24 + 
       (31*t[66])/8 + t[69] + 3*t[73] + 4*t[75] + 3*t[76] - 2*t[79] - t[80] + 
       t[81]/2 - (5*t[82])/2 - 10*t[83] + (35*t[84])/8 + (33*t[85])/8 - 
       18*t[86] - (39*t[87])/8 - (39*t[88])/16 + (3*t[89])/4 - t[96] + 
       10*t[98] - 26*t[99] + 29*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      K1[v, w, u]*((23*t[5])/8 - t[6]/8 - 2*t[7] - 4*t[8] - (23*t[9])/8 + 
       8*t[10] - (43*t[11])/8 - (17*t[12])/8 - (25*t[13])/36 - t[14]/12 + 
       (59*t[15])/48 + 2*t[28] + t[31] - 2*t[35] + t[36] + t[39] - t[40] + 
       t[45] - 2*t[47] - t[48]/8 + (7*t[50])/8 - (7*t[52])/8 - (7*t[54])/8 + 
       t[60]/4 - (29*t[61])/4 + (51*t[62])/8 + (17*t[63])/8 - (99*t[64])/8 + 
       (3*t[65])/2 + 8*t[66] - t[72] - t[73] + 4*t[75] + t[77] + t[78] - 
       4*t[79] - 2*t[80] - t[81]/2 + t[82]/2 - 3*t[83] - (3*t[85])/4 - 
       10*t[86] - t[87]/4 - t[88]/8 + (23*t[89])/8 - 6*t[98] + 30*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[u, v, w]*((-3*t[2])/4 + (5*t[4])/4 - 
       (3*t[5])/8 - t[6]/2 - (5*t[7])/2 - (7*t[8])/2 + (17*t[9])/8 + 
       (43*t[10])/8 - 5*t[11] - (43*t[13])/36 - (3*t[14])/16 - 
       (31*t[15])/48 + t[28] + t[31] - t[35] - 2*t[36] - t[43]/2 + t[49]/8 - 
       t[51]/16 - t[53]/8 + (3*t[54])/4 + t[60]/4 - (29*t[61])/4 + 
       (51*t[62])/8 + (17*t[63])/8 - (99*t[64])/8 + (3*t[65])/2 + 8*t[66] - 
       t[72] - t[73] + 4*t[75] + t[77] + t[78] - 4*t[79] - 2*t[80] - 
       t[81]/2 + t[82]/2 - 3*t[83] - (3*t[85])/4 - 10*t[86] - t[87]/4 - 
       t[88]/8 + (23*t[89])/8 - 6*t[98] + 30*t[100]) + 
     A11[u, v, w]*HPL[{1}, 1 - w]*(-t[1]/4 - (13*t[2])/8 + (167*t[3])/16 + 
       (3*t[4])/8 + (45*t[5])/16 - (15*t[6])/2 - (23*t[7])/8 - (123*t[8])/8 - 
       (67*t[9])/16 + (9*t[10])/16 - (11*t[11])/4 - (7*t[12])/4 + t[13]/48 - 
       (1003*t[14])/96 - (197*t[15])/72 + (3*t[29])/4 + t[30]/2 - 
       (11*t[32])/4 - t[33]/2 + t[34]/2 + t[37]/2 + t[40] - t[41]/2 + 
       t[42]/2 + t[43]/4 - (3*t[44])/8 - t[45] + (3*t[47])/2 - (19*t[48])/8 + 
       (15*t[49])/16 - (3*t[50])/8 - (15*t[51])/32 - (9*t[52])/8 - 
       (15*t[53])/16 - (39*t[54])/8 - (3*t[59])/4 - (127*t[60])/8 - 
       (97*t[61])/4 + (87*t[62])/8 + (29*t[63])/8 + (87*t[64])/8 + 
       (19*t[65])/8 + (57*t[66])/8 - t[70] + t[71] - 2*t[72] - t[74]/2 + 
       2*t[76] - t[77]/2 - 3*t[78] + t[80] - t[81]/4 + (3*t[82])/4 - t[83] - 
       (31*t[84])/8 + (5*t[85])/4 + t[86] + 4*t[87] - (5*t[88])/2 + 
       (21*t[89])/16 + t[95] + t[96] - t[97]/2 + 12*t[98] - 18*t[99] + 
       30*t[100]) + A11[u, v, w]*HPL[{1}, 1 - v]*(t[1]/4 + (3*t[2])/4 + 
       (3*t[3])/2 - (59*t[4])/8 + (17*t[5])/16 - (39*t[6])/16 - (3*t[7])/4 - 
       (17*t[8])/4 - (17*t[9])/16 - (9*t[10])/8 - (119*t[11])/16 - 
       (3*t[12])/16 - (119*t[13])/36 - (773*t[14])/96 - (71*t[15])/96 - 
       t[25] + t[26]/2 + t[31] + t[36]/2 + t[37]/2 + t[38]/2 - t[39]/2 - 
       t[45]/2 + t[47] - (11*t[48])/16 + (3*t[49])/2 + (29*t[50])/16 + 
       (7*t[51])/32 - (13*t[52])/16 + (5*t[53])/4 + (13*t[54])/16 - 
       (3*t[59])/4 - (127*t[60])/8 - (97*t[61])/4 + (87*t[62])/8 + 
       (29*t[63])/8 + (87*t[64])/8 + (19*t[65])/8 + (57*t[66])/8 - t[70] + 
       t[71] - 2*t[72] - t[74]/2 + 2*t[76] - t[77]/2 - 3*t[78] + t[80] - 
       t[81]/4 + (3*t[82])/4 - t[83] - (31*t[84])/8 + (5*t[85])/4 + t[86] + 
       4*t[87] - (5*t[88])/2 + (21*t[89])/16 + t[95] + t[96] - t[97]/2 + 
       12*t[98] - 18*t[99] + 30*t[100]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - u]*
      (-5*t[3] + (51*t[4])/4 - (47*t[5])/4 + (11*t[6])/4 - (47*t[7])/8 - 
       (5*t[8])/8 + (7*t[9])/8 + (267*t[10])/8 - 18*t[11] - (13*t[12])/2 - 
       (533*t[13])/72 + (50*t[14])/3 + (85*t[15])/16 + 4*t[30] + 4*t[31] - 
       (33*t[43])/8 + (29*t[45])/4 - (29*t[47])/2 - 2*t[48] + 2*t[49] + 
       2*t[50] - t[51] - 2*t[52] - 2*t[53] + 2*t[54] + 18*t[60] + 
       (41*t[61])/2 + (71*t[62])/4 + (109*t[63])/4 - (323*t[64])/4 - 
       (37*t[65])/3 + (64*t[66])/3 - 8*t[76] + t[77] + 16*t[78] - 10*t[79] - 
       29*t[80] - 7*t[82] - 8*t[85] - 37*t[86] - 8*t[87] - 4*t[88] - 
       3*t[89] - 78*t[98] + 96*t[99] + 30*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      (-t[3] - (13*t[4])/4 + (79*t[5])/8 + (11*t[6])/4 - (47*t[7])/8 + 
       (91*t[8])/8 - (13*t[9])/2 - (31*t[10])/8 - (11*t[11])/4 - 
       (35*t[12])/8 + (7*t[13])/8 + (22*t[14])/3 + (115*t[15])/24 + 2*t[28] - 
       4*t[29] + 4*t[30] + 2*t[36] + (13*t[43])/8 - 5*t[44] + (13*t[45])/4 - 
       t[46] - (13*t[47])/2 + (3*t[48])/2 - t[49]/4 - (7*t[50])/2 - 
       (5*t[51])/8 + (7*t[52])/2 + t[53]/4 + t[54] - 2*t[60] - (7*t[61])/2 + 
       20*t[62] + 7*t[63] - (51*t[64])/4 + 3*t[65] + (28*t[66])/3 - 4*t[73] + 
       7*t[75] - t[79] - 4*t[83] - 2*t[84] - t[85] - 13*t[86] + 2*t[87] + 
       t[88] + (33*t[89])/4 + 4*t[99] + 33*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((27*t[4])/4 - (53*t[5])/8 + (9*t[6])/4 - (13*t[7])/8 + (57*t[8])/8 + 
       (17*t[9])/4 + (5*t[10])/8 - (13*t[11])/4 - (29*t[12])/8 + 
       (47*t[13])/24 - (11*t[14])/8 - 3*t[15] - 3*t[36] - (13*t[43])/8 - 
       (13*t[45])/4 + t[46] + (13*t[47])/2 + (3*t[48])/2 + 2*t[49] - 
       (5*t[50])/2 - t[51] + (5*t[52])/2 - 2*t[53] + (9*t[54])/2 - 2*t[60] - 
       (7*t[61])/2 + 20*t[62] + 7*t[63] - (51*t[64])/4 + 3*t[65] + 
       (28*t[66])/3 - 4*t[73] + 7*t[75] - t[79] - 4*t[83] - 2*t[84] - t[85] - 
       13*t[86] + 2*t[87] + t[88] + (33*t[89])/4 + 4*t[99] + 33*t[100]) + 
     HPL[{0, 1}, 1 - u]^2*Phi6[u, v, w]*((-3*t[1])/8 + (19*t[2])/16 + 
       (169*t[3])/32 - (221*t[4])/32 + (131*t[5])/64 - (141*t[6])/64 - 
       (393*t[7])/32 - (5*t[8])/32 - (669*t[9])/64 + (163*t[10])/64 - 
       (1115*t[11])/64 - (33*t[12])/32 - (881*t[13])/192 - (5873*t[14])/384 - 
       (665*t[15])/1152 + t[27] - t[29]/4 + t[30]/4 - t[31]/2 - t[32]/4 + 
       t[33]/4 + t[34]/2 - t[35]/2 + t[36]/4 - t[38]/4 - t[39]/2 + t[40]/8 - 
       t[41]/4 + t[42]/4 - (13*t[43])/16 - (5*t[44])/8 + (13*t[45])/8 + 
       (5*t[46])/8 - (7*t[47])/2 + (59*t[48])/64 - (217*t[49])/64 - 
       (33*t[50])/64 + (185*t[51])/128 + (65*t[52])/64 + (153*t[53])/64 + 
       (195*t[54])/64 - (103*t[60])/8 - (345*t[61])/8 + (103*t[62])/4 + 
       (7*t[63])/4 + (47*t[64])/8 + (69*t[65])/4 + (123*t[66])/4 - 2*t[76] - 
       (3*t[77])/4 + (3*t[78])/2 + 3*t[79] - 7*t[80] + (15*t[82])/4 - 
       (3*t[83])/2 - (7*t[84])/16 + (41*t[85])/16 - 7*t[86] + 
       (159*t[87])/16 + (159*t[88])/32 + (29*t[89])/8 - (3*t[96])/2 - t[97] - 
       11*t[98] + 14*t[99] + (81*t[100])/2) + F1[u, v, w]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(-t[1]/4 - t[2]/2 + (97*t[3])/16 - (17*t[4])/8 + 
       (175*t[5])/16 - (139*t[6])/32 - 4*t[7] - (41*t[8])/8 - (129*t[9])/8 + 
       (91*t[10])/8 - (397*t[11])/32 - (111*t[12])/16 - (41*t[13])/9 - 
       15*t[14] - (7*t[15])/288 - t[19] + t[20] + t[21] - t[23] + 2*t[24] + 
       t[25] - t[26]/2 + t[28] - t[29]/4 + (3*t[30])/2 - t[31] + t[32] - 
       3*t[34] - 4*t[35] + t[36]/2 + (3*t[37])/2 + t[38]/2 - t[39] + 
       (5*t[40])/2 + t[41]/2 - t[42]/2 + (5*t[43])/8 + t[44]/8 + 4*t[45] - 
       t[46] - (7*t[47])/2 + (55*t[48])/32 - (19*t[49])/8 - (45*t[50])/32 + 
       (47*t[51])/32 - (83*t[52])/32 - (3*t[53])/8 - (135*t[54])/32 + 
       t[59]/2 - (17*t[60])/16 - (7*t[61])/16 - (173*t[62])/32 - 
       (563*t[63])/32 + (137*t[64])/32 + (157*t[65])/16 + (677*t[66])/48 + 
       t[70] - t[71] + t[74]/2 - 2*t[75] - 4*t[76] + (3*t[77])/2 + 
       (7*t[78])/2 - (13*t[80])/2 - (13*t[81])/4 + t[82]/2 - 6*t[83] + 
       (31*t[84])/16 - (43*t[85])/16 + (3*t[86])/2 + (183*t[87])/16 + 
       (327*t[88])/32 + (285*t[89])/32 - t[95] - t[96] - 24*t[98] + 
       18*t[99] + 45*t[100]) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((3*t[1])/2 + (3*t[2])/8 - (203*t[3])/16 + (37*t[4])/16 - 
       (153*t[5])/16 + 9*t[6] + (25*t[7])/8 + (163*t[8])/8 + (157*t[9])/16 - 
       (215*t[10])/32 + (19*t[11])/4 + (199*t[12])/32 + t[13]/48 + 
       (495*t[14])/64 + (269*t[15])/288 + t[19] - t[20] - t[21] + t[23] - 
       2*t[24] + t[26]/2 - 2*t[28] - (3*t[29])/4 - (3*t[30])/2 + t[31] + 
       (11*t[32])/4 - t[33]/2 - t[34] + 4*t[35] - t[36] - (3*t[37])/2 - 
       2*t[40] + t[41]/4 - t[42]/4 - (3*t[43])/4 + (3*t[44])/8 - t[45] + 
       t[46] + (7*t[47])/2 + (15*t[48])/4 - (37*t[49])/32 + (11*t[50])/4 - 
       (45*t[51])/64 + t[52]/4 + (53*t[53])/32 + (91*t[54])/16 + t[58]/2 + 
       t[59]/2 - (17*t[60])/16 - (7*t[61])/16 - (173*t[62])/32 - 
       (563*t[63])/32 + (137*t[64])/32 + (157*t[65])/16 + (677*t[66])/48 + 
       t[70] - t[71] + t[74]/2 - 2*t[75] - 4*t[76] + (3*t[77])/2 + 
       (7*t[78])/2 - (13*t[80])/2 - (13*t[81])/4 + t[82]/2 - 6*t[83] + 
       (31*t[84])/16 - (43*t[85])/16 + (3*t[86])/2 + (183*t[87])/16 + 
       (327*t[88])/32 + (285*t[89])/32 - t[95] - t[96] - 24*t[98] + 
       18*t[99] + 45*t[100]) + F1[v, w, u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (-t[1]/2 + (9*t[2])/2 + (25*t[3])/8 - (3*t[4])/2 + (129*t[5])/16 + 
       t[6]/4 - (7*t[7])/8 - (21*t[8])/8 - (19*t[9])/16 - 3*t[10] - 
       (7*t[11])/8 - (13*t[12])/16 + (193*t[13])/48 - (137*t[14])/48 + 
       (545*t[15])/96 + t[25] - t[26]/2 - t[30]/2 - t[35]/2 + 3*t[36] - 
       t[37] - t[38]/2 - t[39] + t[40] - t[41]/2 + t[42]/2 - t[44] + t[45] - 
       (3*t[46])/4 - 3*t[47] + (5*t[49])/8 + (7*t[50])/4 + (3*t[51])/4 - 
       (7*t[52])/4 - t[53]/8 - (3*t[54])/4 + t[59]/4 - 6*t[60] - t[61]/2 + 
       (219*t[62])/16 + (81*t[63])/16 - 23*t[64] + (19*t[65])/12 + 
       (25*t[66])/4 - t[72]/2 - (5*t[75])/2 - 2*t[76] - (3*t[77])/4 + t[78] - 
       (27*t[79])/4 - t[80]/2 - (7*t[81])/4 + (7*t[82])/4 + 2*t[83] - 
       (13*t[84])/8 - (7*t[85])/4 - (55*t[86])/4 + (7*t[87])/2 + 
       (7*t[88])/4 - (11*t[89])/8 - 18*t[98] + 20*t[99] + (91*t[100])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*((-9*t[2])/8 - t[3]/2 - 
       (11*t[4])/8 + t[5]/16 + t[6]/4 - (9*t[7])/2 + t[8]/4 - (19*t[9])/16 + 
       (37*t[10])/16 - (7*t[11])/2 + (3*t[12])/8 - (77*t[13])/144 - 
       (191*t[14])/96 + (109*t[15])/96 + t[28] + t[30] - t[36] - t[43]/4 - 
       t[44] - (3*t[48])/8 - (9*t[49])/16 - t[50]/8 + (9*t[51])/32 + 
       t[52]/8 + (9*t[53])/16 + t[54]/4 + t[59]/4 - 6*t[60] - t[61]/2 + 
       (219*t[62])/16 + (81*t[63])/16 - 23*t[64] + (19*t[65])/12 + 
       (25*t[66])/4 - t[72]/2 - (5*t[75])/2 - 2*t[76] - (3*t[77])/4 + t[78] - 
       (27*t[79])/4 - t[80]/2 - (7*t[81])/4 + (7*t[82])/4 + 2*t[83] - 
       (13*t[84])/8 - (7*t[85])/4 - (55*t[86])/4 + (7*t[87])/2 + 
       (7*t[88])/4 - (11*t[89])/8 - 18*t[98] + 20*t[99] + (91*t[100])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(-t[1] + (9*t[2])/8 + 
       (73*t[3])/16 - (85*t[4])/8 + (23*t[5])/32 - (11*t[6])/32 - 
       (123*t[7])/16 + (49*t[8])/16 - (445*t[9])/32 - (125*t[10])/16 - 
       (415*t[11])/32 - (107*t[12])/32 - (149*t[13])/36 - (773*t[14])/48 + 
       (557*t[15])/576 + t[27] - t[28] - t[29]/2 + t[30]/2 - t[31] - 
       t[32]/2 + t[33]/2 + t[34] + t[35] + t[36]/2 - t[38]/2 - t[39] + 
       t[40]/4 - (3*t[41])/4 + (3*t[42])/4 + (11*t[43])/8 - (5*t[44])/4 + 
       t[45]/4 + (3*t[46])/4 - t[47] + (51*t[48])/32 - 6*t[49] + 
       (23*t[50])/32 + (29*t[51])/16 + (9*t[52])/32 + 4*t[53] + 
       (125*t[54])/32 - (3*t[59])/4 - (213*t[60])/16 - (543*t[61])/16 + 
       (395*t[62])/32 + (125*t[63])/32 + (129*t[64])/32 + (1135*t[65])/48 + 
       (889*t[66])/48 - t[69] + t[72] - t[73] - t[75] - 7*t[76] - t[77]/2 + 
       7*t[78] - t[79] + 5*t[80] - t[81]/2 + 4*t[82] - 8*t[83] + 
       (49*t[84])/16 + (53*t[85])/16 + 13*t[86] + (155*t[87])/16 + 
       (155*t[88])/32 + (65*t[89])/32 - 3*t[96] - 2*t[97] - 28*t[98] + 
       26*t[99] + 46*t[100]) + F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((-5*t[1])/4 + (17*t[2])/4 + (103*t[3])/16 - (145*t[4])/16 - 
       (83*t[5])/32 + (27*t[6])/16 + (41*t[7])/16 + (47*t[8])/16 + 
       (327*t[9])/32 - (421*t[10])/32 - (151*t[11])/16 + (11*t[12])/4 - 
       (41*t[13])/288 - (2299*t[14])/192 + (499*t[15])/576 + t[27] + 
       2*t[28] + t[29] - t[30] - t[31] + t[34] - t[35] - 2*t[36] - t[37] - 
       t[38]/2 - t[39]/2 - t[41] + t[42] - (3*t[43])/8 - 2*t[44] - 
       (9*t[45])/4 + (7*t[47])/2 - t[48]/8 - (205*t[49])/32 + (31*t[50])/8 + 
       (225*t[51])/64 - (23*t[52])/8 + (141*t[53])/32 + (69*t[54])/16 - 
       (3*t[59])/4 - (213*t[60])/16 - (543*t[61])/16 + (395*t[62])/32 + 
       (125*t[63])/32 + (129*t[64])/32 + (1135*t[65])/48 + (889*t[66])/48 - 
       t[69] + t[72] - t[73] - t[75] - 7*t[76] - t[77]/2 + 7*t[78] - t[79] + 
       5*t[80] - t[81]/2 + 4*t[82] - 8*t[83] + (49*t[84])/16 + 
       (53*t[85])/16 + 13*t[86] + (155*t[87])/16 + (155*t[88])/32 + 
       (65*t[89])/32 - 3*t[96] - 2*t[97] - 28*t[98] + 26*t[99] + 46*t[100]) + 
     F1[w, u, v]*HPL[{0, 1, 1}, 1 - u]*(-t[3]/2 + (43*t[4])/4 - (41*t[5])/8 + 
       t[6]/4 - (5*t[7])/8 - (23*t[8])/8 + (29*t[9])/4 - (19*t[10])/8 - 
       (9*t[11])/4 - (13*t[12])/8 + (67*t[13])/24 - (39*t[14])/8 - 
       (9*t[15])/4 - t[36] - (13*t[43])/8 - (13*t[45])/4 + (13*t[47])/2 + 
       4*t[49] - 4*t[53] + 8*t[60] - (25*t[61])/2 + (59*t[62])/4 - 
       (23*t[63])/4 - (43*t[64])/4 - (13*t[65])/2 + (59*t[66])/6 - 4*t[73] + 
       7*t[75] - t[79] - 4*t[83] - 9*t[86] - 8*t[87] - 4*t[88] + 
       (25*t[89])/4 + 54*t[100]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - u]*
      (t[3]/2 - (11*t[4])/4 + (59*t[5])/8 + (15*t[6])/4 - (95*t[7])/8 + 
       (115*t[8])/8 - (19*t[9])/2 + (23*t[10])/8 - (25*t[11])/4 - 
       (37*t[12])/8 - t[13]/8 + (163*t[14])/24 + (253*t[15])/72 + 2*t[28] + 
       (13*t[43])/8 - 8*t[44] + (13*t[45])/4 - (13*t[47])/2 + 4*t[48] - 
       4*t[50] + 4*t[52] + 4*t[54] + 8*t[60] - (25*t[61])/2 + (59*t[62])/4 - 
       (23*t[63])/4 - (43*t[64])/4 - (13*t[65])/2 + (59*t[66])/6 - 4*t[73] + 
       7*t[75] - t[79] - 4*t[83] - 9*t[86] - 8*t[87] - 4*t[88] + 
       (25*t[89])/4 + 54*t[100]) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*(-t[1]/4 - (11*t[2])/8 + (165*t[3])/16 + 
       (37*t[4])/8 + (175*t[5])/16 - (203*t[6])/32 - (29*t[7])/4 - 
       (97*t[8])/4 - (27*t[9])/8 + (167*t[10])/16 + (27*t[11])/32 - 
       (37*t[12])/8 + (331*t[13])/144 - (55*t[14])/16 - (343*t[15])/288 - 
       t[19] + t[20] + t[21] - t[23] + 2*t[28] + t[29]/4 + t[31] - 
       (11*t[32])/4 + (3*t[33])/2 + t[34]/2 - 3*t[35] + t[37]/2 + t[43]/4 - 
       (17*t[44])/8 - t[45] - t[47]/2 - (117*t[48])/32 + (25*t[49])/16 + 
       (11*t[50])/32 - (33*t[51])/32 + (5*t[52])/32 - (25*t[53])/16 - 
       (303*t[54])/32 - (3*t[59])/4 - (99*t[60])/16 - (373*t[61])/16 + 
       (859*t[62])/32 + (357*t[63])/32 - (741*t[64])/32 - (153*t[65])/16 + 
       (511*t[66])/48 - t[70] + t[71] - 2*t[72] - t[73] - t[74]/2 + 8*t[75] + 
       (7*t[76])/2 + t[77]/2 - (9*t[78])/2 - 8*t[79] - 2*t[80] + t[81]/4 - 
       t[82]/4 - (11*t[83])/2 - (79*t[84])/16 + (59*t[85])/16 - 25*t[86] - 
       (77*t[87])/16 - (221*t[88])/32 + (3*t[89])/32 + t[95] + t[96] - 
       t[97]/2 + 22*t[98] - 60*t[99] + 55*t[100]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((3*t[1])/4 - (3*t[2])/4 + (25*t[4])/16 - (51*t[5])/16 - (85*t[6])/16 - 
       (15*t[7])/4 - (71*t[8])/4 + (51*t[9])/16 + (153*t[10])/32 - 
       (161*t[11])/16 - (149*t[12])/32 - (99*t[13])/16 - (261*t[14])/64 - 
       (23*t[15])/16 - t[25] + t[26]/2 + t[28] + t[30] + t[31] - 
       (3*t[36])/2 - t[37]/2 + t[38]/2 - t[39] + t[44] - t[45]/2 + 
       (3*t[46])/2 + t[47] - (49*t[48])/16 + (119*t[49])/32 + (47*t[50])/16 - 
       (101*t[51])/64 - (31*t[52])/16 - (31*t[53])/32 - (3*t[54])/2 - 
       (3*t[59])/4 - (99*t[60])/16 - (373*t[61])/16 + (859*t[62])/32 + 
       (357*t[63])/32 - (741*t[64])/32 - (153*t[65])/16 + (511*t[66])/48 - 
       t[70] + t[71] - 2*t[72] - t[73] - t[74]/2 + 8*t[75] + (7*t[76])/2 + 
       t[77]/2 - (9*t[78])/2 - 8*t[79] - 2*t[80] + t[81]/4 - t[82]/4 - 
       (11*t[83])/2 - (79*t[84])/16 + (59*t[85])/16 - 25*t[86] - 
       (77*t[87])/16 - (221*t[88])/32 + (3*t[89])/32 + t[95] + t[96] - 
       t[97]/2 + 22*t[98] - 60*t[99] + 55*t[100]) + 
     HPL[{0, 1}, 1 - w]*K1[w, u, v]*((-3*t[2])/2 - (15*t[3])/4 + t[4]/4 - 
       (63*t[5])/8 - (5*t[6])/8 - (3*t[7])/4 - (23*t[8])/4 + (29*t[9])/8 + 
       (59*t[10])/8 - (27*t[11])/8 - (7*t[12])/2 - (25*t[13])/12 + 
       (287*t[14])/48 + (21*t[15])/16 - t[27] + 2*t[28] - t[30] - t[35] + 
       (5*t[48])/8 + (3*t[49])/8 + (5*t[50])/8 + t[51]/16 - (5*t[52])/8 - 
       (3*t[53])/8 + (5*t[54])/8 + (9*t[60])/2 + t[61] + (3*t[62])/2 + 
       (21*t[63])/2 - (65*t[64])/4 + (179*t[65])/12 - t[66]/12 - 2*t[73] + 
       5*t[75] - t[76] - 2*t[79] + (3*t[81])/2 - (11*t[82])/2 - (7*t[83])/2 + 
       (5*t[84])/4 + t[85] - 17*t[86] - t[87]/2 - t[88]/4 + (33*t[89])/4 - 
       t[96] + 2*t[98] + 2*t[99] + 67*t[100]) + HPL[{0, 1}, 1 - v]*
      K1[w, u, v]*((-3*t[2])/2 - (7*t[3])/2 - (3*t[4])/4 - (49*t[5])/8 + 
       (11*t[6])/8 - (17*t[7])/4 - (9*t[8])/4 + (33*t[9])/8 + (79*t[10])/8 - 
       (15*t[11])/8 - t[12]/2 + (3*t[13])/4 + (349*t[14])/48 + 
       (37*t[15])/48 - t[27] - t[30] - t[44] - t[46]/2 - (5*t[48])/8 - 
       (13*t[49])/8 + (3*t[50])/8 + (19*t[51])/16 - (3*t[52])/8 + 
       (13*t[53])/8 + (19*t[54])/8 + (9*t[60])/2 + t[61] + (3*t[62])/2 + 
       (21*t[63])/2 - (65*t[64])/4 + (179*t[65])/12 - t[66]/12 - 2*t[73] + 
       5*t[75] - t[76] - 2*t[79] + (3*t[81])/2 - (11*t[82])/2 - (7*t[83])/2 + 
       (5*t[84])/4 + t[85] - 17*t[86] - t[87]/2 - t[88]/4 + (33*t[89])/4 - 
       t[96] + 2*t[98] + 2*t[99] + 67*t[100]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      (-t[1]/4 - (11*t[2])/8 + (155*t[3])/16 - (15*t[4])/8 + (177*t[5])/16 - 
       6*t[6] - (83*t[7])/8 - (197*t[8])/8 - (127*t[9])/16 + (175*t[10])/16 - 
       (39*t[11])/4 - (45*t[12])/8 - (149*t[13])/144 - (291*t[14])/32 + 
       (5*t[15])/9 - t[19] + t[20] + t[21] - t[23] + 3*t[28] + (3*t[29])/4 + 
       t[30]/2 + t[31] - (11*t[32])/4 + (3*t[33])/2 + t[34]/2 - 3*t[35] - 
       t[36] + t[37]/2 + t[43]/4 - (3*t[44])/8 - t[45] - t[46] - t[47]/2 - 
       (29*t[48])/8 + (25*t[49])/16 + (11*t[50])/8 + (7*t[51])/32 - 
       (7*t[52])/8 - (25*t[53])/16 - (63*t[54])/8 - (3*t[59])/4 - 
       (141*t[60])/8 - (61*t[61])/2 + (275*t[62])/8 + (161*t[63])/8 - 
       12*t[64] - (5*t[65])/8 + (787*t[66])/24 - t[70] + t[71] - 2*t[72] - 
       3*t[73] - t[74]/2 + 11*t[75] + (7*t[76])/2 + t[77]/2 - (9*t[78])/2 - 
       9*t[79] - 2*t[80] - t[81]/4 + (3*t[82])/4 - (29*t[83])/2 - 
       (53*t[84])/8 + (3*t[85])/2 - 30*t[86] + (21*t[87])/4 - (15*t[88])/8 + 
       (43*t[89])/16 + t[95] + t[96] - t[97]/2 + 22*t[98] - 62*t[99] + 
       91*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*((3*t[1])/4 - (3*t[2])/4 - (33*t[4])/8 - (55*t[5])/16 - 
       (85*t[6])/16 - (47*t[7])/4 - (41*t[8])/4 - (113*t[9])/16 + 
       (43*t[10])/4 - (285*t[11])/16 - (73*t[12])/16 - (107*t[13])/12 - 
       (883*t[14])/96 + (39*t[15])/32 - t[25] + t[26]/2 + 3*t[28] + 2*t[30] + 
       t[31] - (3*t[36])/2 - t[37]/2 + t[38]/2 - t[39] - 2*t[44] - t[45]/2 + 
       (3*t[46])/2 + t[47] - (41*t[48])/16 + (21*t[49])/8 + (47*t[50])/16 - 
       (23*t[51])/32 - (31*t[52])/16 + t[53]/8 - (9*t[54])/16 - (3*t[59])/4 - 
       (141*t[60])/8 - (61*t[61])/2 + (275*t[62])/8 + (161*t[63])/8 - 
       12*t[64] - (5*t[65])/8 + (787*t[66])/24 - t[70] + t[71] - 2*t[72] - 
       3*t[73] - t[74]/2 + 11*t[75] + (7*t[76])/2 + t[77]/2 - (9*t[78])/2 - 
       9*t[79] - 2*t[80] - t[81]/4 + (3*t[82])/4 - (29*t[83])/2 - 
       (53*t[84])/8 + (3*t[85])/2 - 30*t[86] + (21*t[87])/4 - (15*t[88])/8 + 
       (43*t[89])/16 + t[95] + t[96] - t[97]/2 + 22*t[98] - 62*t[99] + 
       91*t[100]) + F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((5*t[1])/4 - 4*t[2] + (85*t[3])/16 + (35*t[4])/8 + (29*t[5])/16 - 
       (327*t[6])/32 - (115*t[7])/8 - 33*t[8] - (83*t[9])/4 + (31*t[10])/2 - 
       (453*t[11])/32 - (133*t[12])/16 - (541*t[13])/144 - (1091*t[14])/48 - 
       (239*t[15])/288 + t[19] + t[20] - t[21] + t[23] - t[25] + t[26]/2 - 
       t[28] - t[29]/4 + (9*t[30])/2 + t[31] + t[32] - 3*t[34] + 3*t[35] - 
       (3*t[36])/2 - (3*t[37])/2 + (3*t[38])/2 - 4*t[39] + (5*t[40])/2 - 
       t[43]/2 + (25*t[44])/8 + 5*t[45] + t[46] - (11*t[47])/2 - 
       (65*t[48])/32 + t[49]/8 + (219*t[50])/32 + (29*t[51])/32 - 
       (283*t[52])/32 + (21*t[53])/8 - (135*t[54])/32 - t[59]/2 - 
       (241*t[60])/16 - (435*t[61])/16 + (1291*t[62])/32 + (605*t[63])/32 - 
       (1295*t[64])/32 + (203*t[65])/48 + (579*t[66])/16 + 2*t[69] - t[70] + 
       t[71] - 3*t[72] - 3*t[73] - (5*t[74])/2 + 9*t[75] - 2*t[76] + 
       (3*t[77])/2 + t[78]/2 - 10*t[79] - 10*t[80] - (5*t[81])/4 - t[82]/4 - 
       22*t[83] - (77*t[84])/16 - (55*t[85])/16 - 49*t[86] + (187*t[87])/16 + 
       (43*t[88])/32 + (373*t[89])/32 + t[95] + t[96] - t[97] - 12*t[98] - 
       30*t[99] + 132*t[100]) + F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*(t[1]/2 - t[2]/8 + (79*t[3])/16 + (21*t[4])/16 + 
       (137*t[5])/16 + (65*t[6])/8 - (105*t[7])/8 - (3*t[8])/8 - 
       (47*t[9])/16 + (849*t[10])/32 - 16*t[11] - (181*t[12])/32 - 
       (581*t[13])/72 + (319*t[14])/64 + (553*t[15])/288 - t[19] + t[20] + 
       t[21] - t[23] + t[26]/2 + 5*t[28] + (3*t[29])/4 + t[30]/2 - 
       (11*t[32])/4 + (3*t[33])/2 - 5*t[35] + 3*t[36] + (3*t[37])/2 + t[39] - 
       t[40] + t[41]/4 - t[42]/4 + t[43]/4 - (11*t[44])/8 - (5*t[47])/2 + 
       (9*t[48])/2 + (35*t[49])/32 - (5*t[50])/2 - (117*t[51])/64 + 
       (11*t[52])/2 - (19*t[53])/32 + (11*t[54])/16 + t[58]/2 - t[59]/2 - 
       (241*t[60])/16 - (435*t[61])/16 + (1291*t[62])/32 + (605*t[63])/32 - 
       (1295*t[64])/32 + (203*t[65])/48 + (579*t[66])/16 + 2*t[69] - t[70] + 
       t[71] - 3*t[72] - 3*t[73] - (5*t[74])/2 + 9*t[75] - 2*t[76] + 
       (3*t[77])/2 + t[78]/2 - 10*t[79] - 10*t[80] - (5*t[81])/4 - t[82]/4 - 
       22*t[83] - (77*t[84])/16 - (55*t[85])/16 - 49*t[86] + (187*t[87])/16 + 
       (43*t[88])/32 + (373*t[89])/32 + t[95] + t[96] - t[97] - 12*t[98] - 
       30*t[99] + 132*t[100]) + F1[u, v, w]*HPL[{0, 0, 1}, 1 - v]*
      ((-3*t[1])/4 - (9*t[2])/8 + (149*t[3])/16 + (3*t[4])/8 + 
       (197*t[5])/16 + t[6]/4 - (67*t[7])/8 - (93*t[8])/8 - (11*t[9])/16 + 
       (385*t[10])/16 - 12*t[11] - (19*t[12])/4 - (881*t[13])/144 + 
       (521*t[14])/96 + (355*t[15])/144 - 2*t[19] + 2*t[20] + 2*t[21] - 
       2*t[23] + 6*t[28] + (7*t[29])/4 - t[30] + 2*t[31] - (15*t[32])/4 + 
       (7*t[33])/2 + (5*t[34])/2 - 4*t[35] + t[36] + (3*t[37])/2 - t[38] + 
       t[39] - (5*t[40])/2 - t[43]/4 - (15*t[44])/8 - (7*t[45])/2 - 
       (21*t[48])/8 + (75*t[49])/16 - (17*t[50])/8 - (107*t[51])/32 + 
       (45*t[52])/8 - (75*t[53])/16 - (43*t[54])/8 - t[59]/2 - (59*t[60])/8 - 
       (151*t[61])/4 + (335*t[62])/8 + (269*t[63])/8 - (167*t[64])/4 - 
       (93*t[65])/8 + (297*t[66])/8 - t[70] + t[71] - 3*t[72] - t[73] - 
       t[74]/2 + 13*t[75] + 6*t[76] + (3*t[77])/2 - (11*t[78])/2 - 8*t[79] - 
       4*t[80] - t[81]/4 + (7*t[82])/4 - 5*t[83] - (67*t[84])/8 + 
       (13*t[85])/2 - 41*t[86] - (51*t[87])/4 - (87*t[88])/8 - 
       (27*t[89])/16 + t[95] + t[96] + 32*t[98] - 78*t[99] + 134*t[100]) + 
     F1[u, v, w]*HPL[{0, 0, 1}, 1 - w]*(-t[1] - (7*t[2])/2 + (17*t[3])/4 - 
       (23*t[4])/8 - (15*t[5])/16 - (307*t[6])/16 - 8*t[7] - 48*t[8] - 
       (5*t[9])/16 + (63*t[10])/8 - (279*t[11])/16 - (43*t[12])/16 - 
       (505*t[13])/72 - (1505*t[14])/96 - (61*t[15])/32 - t[25] + t[26] - 
       t[28] + 3*t[30] + 4*t[31] + t[34]/2 + 2*t[35] - (3*t[36])/2 - 
       (3*t[37])/2 - t[38]/2 - 2*t[39] + t[40] - t[41]/4 + t[42]/4 - 
       t[43]/2 + 2*t[44] + t[45]/2 + 2*t[46] - t[47] - (179*t[48])/16 + 
       (3*t[49])/2 + (101*t[50])/16 - (29*t[51])/32 - (125*t[52])/16 + 
       (3*t[53])/4 - (135*t[54])/16 - t[58]/2 - t[59]/2 - (59*t[60])/8 - 
       (151*t[61])/4 + (335*t[62])/8 + (269*t[63])/8 - (167*t[64])/4 - 
       (93*t[65])/8 + (297*t[66])/8 - t[70] + t[71] - 3*t[72] - t[73] - 
       t[74]/2 + 13*t[75] + 6*t[76] + (3*t[77])/2 - (11*t[78])/2 - 8*t[79] - 
       4*t[80] - t[81]/4 + (7*t[82])/4 - 5*t[83] - (67*t[84])/8 + 
       (13*t[85])/2 - 41*t[86] - (51*t[87])/4 - (87*t[88])/8 - 
       (27*t[89])/16 + t[95] + t[96] + 32*t[98] - 78*t[99] + 134*t[100]) + 
     HPL[{0, 0, 0, 1}, 1 - u]*Phi6[u, v, w]*((5*t[1])/2 - 32*t[2] + 24*t[3] - 
       (81*t[4])/2 + (71*t[5])/2 - (29*t[6])/2 - 35*t[7] - 13*t[8] - 
       64*t[9] + (59*t[10])/4 - (161*t[11])/2 + (19*t[12])/4 - 
       (163*t[13])/6 - (2141*t[14])/24 - (81*t[15])/4 + 2*t[18] + 3*t[20] + 
       2*t[21] - t[22] - 2*t[23] + 2*t[24] - 4*t[25] + 4*t[26] + 4*t[27] - 
       4*t[29] - t[30] - 3*t[31] + 3*t[33] + 2*t[34] - 4*t[35] + t[36] + 
       4*t[37] + t[38] - 3*t[39] + (5*t[41])/2 - (3*t[42])/2 + 2*t[44] - 
       10*t[45] + 6*t[46] + 24*t[47] + 9*t[48] - (59*t[49])/4 - 7*t[50] + 
       (29*t[51])/8 + 5*t[52] + (59*t[53])/4 + (15*t[54])/2 + t[58] - 
       2*t[59] - 69*t[60] - 212*t[61] + (177*t[62])/2 - (129*t[63])/2 + 
       164*t[64] + (182*t[65])/3 + 183*t[66] + 8*t[69] - 4*t[70] + 4*t[71] - 
       6*t[72] - 4*t[74] + 10*t[75] + 10*t[76] + 4*t[77] - 28*t[78] + 
       30*t[79] + 36*t[80] - 10*t[81] + 34*t[82] - 31*t[83] - 19*t[84] + 
       4*t[85] - 22*t[86] + 42*t[87] + 21*t[88] + 60*t[89] + 72*t[98] - 
       176*t[99] + 274*t[100]) + G[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (t[1]/2 + (11*t[2])/2 - (3*t[3])/2 - 3*t[4] + 12*t[5] + (7*t[6])/4 - 
       (17*t[7])/4 - (27*t[8])/4 - (65*t[9])/4 - (11*t[10])/4 + t[11]/2 - 
       (5*t[12])/2 + (259*t[13])/72 + (37*t[14])/8 + (277*t[15])/24 + t[20] + 
       t[21] - t[23] + t[27] + 5*t[28] + t[31] + t[33] - 4*t[35] - 2*t[37] + 
       2*t[39] - t[40] + t[43]/2 + t[44] + t[46] - 2*t[47] - (17*t[48])/4 - 
       (9*t[49])/4 + (21*t[50])/4 + (5*t[51])/8 - (17*t[52])/4 + 
       (9*t[53])/4 - (19*t[54])/4 + 2*t[60] + 43*t[61] + (87*t[62])/2 - 
       (17*t[63])/2 - (93*t[64])/2 - (27*t[65])/2 + (31*t[66])/6 - t[68] + 
       2*t[72] + 6*t[73] + 2*t[74] + 2*t[75] + 4*t[76] + t[77] + 2*t[78] + 
       11*t[79] + 4*t[80] + t[81] + 5*t[82] - 4*t[83] + t[84]/2 - 2*t[85] - 
       37*t[86] + t[87] + t[88]/2 - 23*t[89] - 3*t[102]) + 
     G[u, v, w]*HPL[{0, 1}, 1 - u]*(-t[1]/2 + (23*t[2])/8 - (275*t[3])/16 + 
       (5*t[4])/2 + (5*t[5])/4 + (83*t[6])/16 + (117*t[7])/8 + (77*t[8])/8 + 
       (127*t[9])/8 - (159*t[10])/16 + (339*t[11])/16 + (157*t[12])/16 + 
       (985*t[13])/144 + (299*t[14])/12 + (3119*t[15])/288 + t[19] - t[20] - 
       t[21] + t[23] - 2*t[24] + t[25] - t[26]/2 - t[27] + t[28] + t[29]/4 - 
       (5*t[30])/2 - 2*t[31] + (11*t[32])/4 - t[33]/2 - t[34]/2 - 4*t[35] + 
       (13*t[36])/2 - t[37] - t[38]/2 - t[40] - t[41]/2 + t[42]/2 + t[43]/4 + 
       (27*t[44])/8 + t[45]/2 - t[46] - t[47]/2 - (95*t[48])/16 - 
       (59*t[49])/16 + (105*t[50])/16 + (17*t[51])/8 - (113*t[52])/16 + 
       (15*t[53])/16 - (47*t[54])/16 + (3*t[59])/2 + (145*t[60])/4 + 
       92*t[61] - (47*t[62])/2 - (67*t[63])/2 - (61*t[64])/2 - (59*t[65])/4 - 
       (415*t[66])/12 + t[68] - 2*t[69] + 2*t[70] - 2*t[71] + 2*t[72] + 
       6*t[73] + t[74] + 8*t[75] + t[77] + 9*t[78] + 17*t[79] + 2*t[80] - 
       t[81]/2 - (5*t[82])/2 - 13*t[83] + (49*t[84])/4 - t[85]/2 + 9*t[86] - 
       8*t[87] + 5*t[88] - (207*t[89])/8 - 2*t[95] - 3*t[96] + t[97] - 
       18*t[98] + 42*t[99] - 127*t[100] - 3*t[102]) + 
     G[u, v, w]*HPL[{0, 1}, 1 - v]*(t[1]/2 + (37*t[2])/8 + (183*t[3])/16 - 
       (35*t[4])/4 + (35*t[5])/2 - (119*t[6])/16 - (85*t[7])/8 - 
       (211*t[8])/8 - (223*t[9])/8 + (25*t[10])/16 - (195*t[11])/16 - 
       (143*t[12])/16 - (463*t[13])/144 - (721*t[14])/48 + (2377*t[15])/288 - 
       t[19] + t[20] + t[21] - t[23] - t[25] + t[26]/2 + 3*t[28] - t[29]/4 + 
       (5*t[30])/2 + t[31] - (11*t[32])/4 + (3*t[33])/2 + t[34]/2 - 5*t[35] + 
       (19*t[36])/2 - t[37] + t[38]/2 - t[41]/2 + t[42]/2 + (3*t[43])/4 - 
       (11*t[44])/8 - (3*t[45])/2 + t[46]/2 - t[47]/2 - (101*t[48])/16 + 
       (53*t[49])/16 + (107*t[50])/16 - (21*t[51])/16 - (83*t[52])/16 - 
       (9*t[53])/16 - (161*t[54])/16 - (3*t[59])/2 - (87*t[60])/2 - 
       (27*t[61])/4 + (513*t[62])/8 + (203*t[63])/8 - (167*t[64])/8 - 
       (89*t[65])/6 + (181*t[66])/6 - t[68] - 2*t[69] - 2*t[70] + 2*t[71] - 
       3*t[72] + 4*t[73] + 17*t[75] + 8*t[76] - 8*t[78] + 14*t[79] + 
       4*t[80] + t[81]/2 + (13*t[82])/2 - 17*t[83] - 12*t[84] + t[85]/4 - 
       42*t[86] + (59*t[87])/4 - (13*t[88])/8 - (65*t[89])/4 + 2*t[95] + 
       3*t[96] - t[97] + 42*t[98] - 66*t[99] - 56*t[100] - 3*t[102]) + 
     G[u, v, w]*HPL[{0, 1}, 1 - w]*(t[1]/2 + (37*t[2])/8 + (139*t[3])/16 - 
       5*t[4] + 10*t[5] - (201*t[6])/16 - (101*t[7])/8 - (211*t[8])/8 - 
       (105*t[9])/8 + (43*t[10])/16 - (209*t[11])/16 - (45*t[12])/16 - 
       (559*t[13])/144 - (65*t[14])/6 + (1933*t[15])/288 - t[19] + t[21] - 
       t[23] - t[25] + t[26]/2 + 2*t[27] + 8*t[28] - t[29]/4 + (5*t[30])/2 - 
       (15*t[32])/4 + t[33]/2 + t[34]/2 + 2*t[35] + (17*t[36])/2 - t[37] + 
       t[38]/2 + t[39] + t[40] - t[41]/2 + t[42]/2 + t[43]/4 - (19*t[44])/8 - 
       (5*t[45])/2 + (3*t[46])/2 + (7*t[47])/2 - (123*t[48])/16 + 
       (19*t[49])/16 + (101*t[50])/16 - (5*t[51])/4 - (109*t[52])/16 + 
       (25*t[53])/16 - (127*t[54])/16 - (3*t[59])/2 - (87*t[60])/2 - 
       (27*t[61])/4 + (513*t[62])/8 + (203*t[63])/8 - (167*t[64])/8 - 
       (89*t[65])/6 + (181*t[66])/6 - t[68] - 2*t[69] - 2*t[70] + 2*t[71] - 
       3*t[72] + 4*t[73] + 17*t[75] + 8*t[76] - 8*t[78] + 14*t[79] + 
       4*t[80] + t[81]/2 + (13*t[82])/2 - 17*t[83] - 12*t[84] + t[85]/4 - 
       42*t[86] + (59*t[87])/4 - (13*t[88])/8 - (65*t[89])/4 + 2*t[95] + 
       3*t[96] - t[97] + 42*t[98] - 66*t[99] - 56*t[100] - 3*t[102]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*(t[2] - t[3] - t[4]/2 - (3*t[5])/2 - 
       t[6]/2 + 6*t[7] - 5*t[8] + (17*t[9])/2 - 4*t[10] + 3*t[11] + 
       (5*t[12])/2 + t[13]/2 + 2*t[14] - (3*t[15])/4 - 2*t[24] + t[25] - 
       t[26] - t[27] - 4*t[28] - 2*t[33] - t[39] - t[48]/2 - t[49] + 
       (3*t[50])/2 + t[51]/2 - (3*t[52])/2 + t[53] - (3*t[54])/2 - 5*t[60] + 
       9*t[61] - (23*t[62])/2 - (9*t[63])/2 + (33*t[64])/2 - (16*t[65])/3 - 
       (16*t[66])/3 + 4*t[83] - 3*t[85] + 16*t[86] + 5*t[87] + (5*t[88])/2 - 
       (7*t[89])/2)*\[Zeta][2] + F1[w, u, v]*HPL[{1}, 1 - w]*
      ((-3*t[2])/4 - (3*t[3])/2 + t[4] + (5*t[5])/2 - t[6]/2 - t[7] + 
       (19*t[8])/2 - (27*t[9])/4 - (7*t[10])/2 + (9*t[11])/2 - t[12]/4 - 
       (3*t[13])/2 + (71*t[14])/24 + (79*t[15])/24 + t[24] - t[32] + 
       2*t[33] + 2*t[35] - t[36] - t[39] + t[40] + t[46]/2 - t[47] + 
       (7*t[48])/2 + 3*t[49] - (3*t[50])/2 - (13*t[51])/8 + (3*t[52])/2 - 
       3*t[53] + t[54]/2 - 5*t[60] + 9*t[61] - (23*t[62])/2 - (9*t[63])/2 + 
       (33*t[64])/2 - (16*t[65])/3 - (16*t[66])/3 + 4*t[83] - 3*t[85] + 
       16*t[86] + 5*t[87] + (5*t[88])/2 - (7*t[89])/2)*\[Zeta][2] + 
     F1[v, w, u]*HPL[{1}, 1 - w]*((-25*t[2])/4 - t[3] + (3*t[4])/4 - t[5]/8 + 
       t[6] + (7*t[7])/2 - t[8]/2 - (25*t[9])/8 - (43*t[10])/8 + 7*t[11] + 
       (5*t[12])/2 + (27*t[13])/4 + (89*t[14])/48 - (157*t[15])/48 + t[32] + 
       3*t[33] + t[37] + t[41]/2 - t[42]/2 + t[43]/2 + t[44] + t[47] - 
       t[48] - t[49]/8 + t[50] + t[51]/16 - t[52] + t[53]/8 - (7*t[54])/4 + 
       t[59] + (27*t[60])/4 + (57*t[61])/4 + (13*t[62])/8 + (43*t[63])/8 - 
       (33*t[64])/8 + 4*t[65] - 22*t[66] - 5*t[74] - t[77] - t[78] + 
       (5*t[81])/2 - (5*t[82])/2 + t[84] + (3*t[85])/4 + 2*t[86] - 
       (7*t[87])/4 - (7*t[88])/8 - (11*t[89])/8 - 2*t[95] - 12*t[99] - 
       48*t[100])*\[Zeta][2] + F1[w, u, v]*HPL[{1}, 1 - v]*
      (-t[1]/2 - t[3] + 2*t[4] - (23*t[5])/8 - (3*t[6])/8 + t[7] + 5*t[8] + 
       (31*t[9])/8 - 4*t[10] + (35*t[11])/8 + (17*t[12])/8 + (101*t[13])/12 + 
       4*t[14] - (59*t[15])/48 + 4*t[25] - 3*t[26] + 5*t[36] + t[37] - 
       t[38] + t[40] - t[45] + 2*t[47] + (9*t[48])/8 - (15*t[50])/8 + 
       t[51]/4 + (15*t[52])/8 + (15*t[54])/8 + t[59] + (27*t[60])/4 + 
       (57*t[61])/4 + (13*t[62])/8 + (43*t[63])/8 - (33*t[64])/8 + 4*t[65] - 
       22*t[66] - 5*t[74] - t[77] - t[78] + (5*t[81])/2 - (5*t[82])/2 + 
       t[84] + (3*t[85])/4 + 2*t[86] - (7*t[87])/4 - (7*t[88])/8 - 
       (11*t[89])/8 - 2*t[95] - 12*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Phi6[u, v, w]*(12*t[2] + (9*t[3])/2 - 
       (61*t[4])/2 + (13*t[5])/2 - (27*t[6])/2 + 38*t[7] - 31*t[8] + t[9] - 
       (135*t[10])/4 + 8*t[11] + (65*t[12])/4 - t[13] - (47*t[14])/24 - 
       (23*t[15])/6 + 2*t[20] - 2*t[28] + 3*t[31] + 6*t[32] - 2*t[33] + 
       3*t[35] + 7*t[36] + 3*t[43] + 6*t[44] - t[46] + 2*t[47] - 13*t[48] - 
       (33*t[49])/4 + 13*t[50] + (27*t[51])/8 - 13*t[52] + (33*t[53])/4 - 
       (15*t[54])/2 - (35*t[60])/2 + (41*t[61])/2 - (163*t[62])/4 + 
       (51*t[63])/4 + (139*t[64])/4 - (52*t[65])/3 - (109*t[66])/3 + 
       2*t[69] + 2*t[72] - 2*t[73] - 8*t[74] + 3*t[75] - 6*t[77] - 4*t[78] - 
       8*t[79] + 12*t[80] + t[81] - t[82] + (3*t[83])/2 - 4*t[84] - 
       (11*t[85])/2 + 60*t[86] + (31*t[87])/2 + (31*t[88])/4 - 
       (115*t[89])/4 + 12*t[98] - 36*t[99] - 33*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w]*((11*t[3])/2 + 7*t[4] + 
       4*t[5] + (5*t[6])/4 + 7*t[7] + 20*t[8] - (25*t[9])/2 - (61*t[10])/2 + 
       (81*t[11])/4 - (3*t[12])/2 + (7*t[13])/6 + (25*t[14])/3 - 
       (19*t[15])/3 - 4*t[28] - 4*t[31] + 5*t[35] - 3*t[36] - 2*t[39] + 
       6*t[40] - 6*t[45] + 2*t[46] + 12*t[47] + (11*t[48])/4 + (17*t[49])/2 + 
       (11*t[50])/4 - t[51]/4 - (11*t[52])/4 - (17*t[53])/2 - (11*t[54])/4 - 
       (35*t[60])/2 + (41*t[61])/2 - (163*t[62])/4 + (51*t[63])/4 + 
       (139*t[64])/4 - (52*t[65])/3 - (109*t[66])/3 + 2*t[69] + 2*t[72] - 
       2*t[73] - 8*t[74] + 3*t[75] - 6*t[77] - 4*t[78] - 8*t[79] + 12*t[80] + 
       t[81] - t[82] + (3*t[83])/2 - 4*t[84] - (11*t[85])/2 + 60*t[86] + 
       (31*t[87])/2 + (31*t[88])/4 - (115*t[89])/4 + 12*t[98] - 36*t[99] - 
       33*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      ((-47*t[2])/4 - (13*t[3])/2 + 24*t[4] - (51*t[5])/8 + (35*t[6])/2 - 
       16*t[7] + 33*t[8] - (75*t[9])/8 + (7*t[10])/2 + (69*t[11])/4 - 
       (31*t[12])/8 + (52*t[13])/3 + (329*t[14])/24 + (167*t[15])/48 + 
       t[20] + 5*t[28] - 2*t[32] + 5*t[33] + t[34] - 4*t[35] - 3*t[36] + 
       t[41] - t[42] - (3*t[43])/2 - 3*t[44] - t[47] + (17*t[48])/2 + 
       (5*t[49])/2 - (17*t[50])/2 - (5*t[51])/4 + (17*t[52])/2 - 
       (5*t[53])/2 + (11*t[54])/2 + t[59] + 33*t[60] + (93*t[61])/2 + 
       (97*t[62])/4 + (19*t[63])/4 - (153*t[64])/4 + (37*t[65])/3 - 
       (157*t[66])/6 - 3*t[69] + 2*t[70] - 2*t[71] + t[72] + t[73] - t[74] + 
       2*t[77] + 2*t[78] - 2*t[79] - 6*t[80] + 3*t[81] - 3*t[82] - 
       (19*t[83])/2 + 8*t[84] + 3*t[85] - 40*t[86] - 17*t[87] - 
       (17*t[88])/2 + (49*t[89])/4 + 6*t[98] - 18*t[99] - 33*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*Phi6[u, v, w]*(-t[1] - 8*t[3] - 2*t[4] - 
       (83*t[5])/8 + (15*t[6])/2 - t[7]/2 + (19*t[8])/2 + (147*t[9])/8 + 
       (5*t[10])/2 + (21*t[11])/4 + (39*t[12])/8 + (79*t[13])/6 + 
       (191*t[14])/12 + (71*t[15])/16 + 6*t[25] - 4*t[26] + 2*t[28] + t[31] - 
       4*t[35] + 2*t[36] - 2*t[38] + 2*t[39] - 2*t[40] + 3*t[45] - 
       (3*t[46])/2 - 6*t[47] + (9*t[48])/2 - (11*t[49])/2 - (15*t[50])/2 + 
       (7*t[51])/8 + (15*t[52])/2 + (13*t[53])/2 + (15*t[54])/2 + t[59] + 
       33*t[60] + (93*t[61])/2 + (97*t[62])/4 + (19*t[63])/4 - 
       (153*t[64])/4 + (37*t[65])/3 - (157*t[66])/6 - 3*t[69] + 2*t[70] - 
       2*t[71] + t[72] + t[73] - t[74] + 2*t[77] + 2*t[78] - 2*t[79] - 
       6*t[80] + 3*t[81] - 3*t[82] - (19*t[83])/2 + 8*t[84] + 3*t[85] - 
       40*t[86] - 17*t[87] - (17*t[88])/2 + (49*t[89])/4 + 6*t[98] - 
       18*t[99] - 33*t[100])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*(t[1] - 10*t[2] - (19*t[3])/4 - 10*t[4] + (3*t[5])/2 - 
       (37*t[6])/4 + (9*t[7])/2 + (31*t[8])/2 - 6*t[9] + (7*t[10])/2 + 
       (13*t[11])/2 + 9*t[12] - (365*t[13])/72 - 7*t[14] - (33*t[15])/8 + 
       2*t[20] + 2*t[21] - 2*t[23] + 6*t[27] + 5*t[28] + 4*t[31] + 2*t[33] - 
       t[35] - 15*t[36] + 3*t[37] + 4*t[39] - 4*t[40] + (5*t[41])/2 - 
       (5*t[42])/2 + t[43] + 2*t[44] + 4*t[45] + 4*t[46] - 7*t[47] + 
       3*t[48] - 4*t[49] - (13*t[50])/2 - 4*t[51] + (17*t[52])/2 + 4*t[53] - 
       (5*t[54])/2 + 20*t[60] + 36*t[61] + 50*t[62] - 48*t[63] + 44*t[64] + 
       (10*t[65])/3 + 22*t[66] + 4*t[72] + 12*t[73] + 16*t[74] + 8*t[75] + 
       8*t[76] + 4*t[77] + 8*t[78] + 24*t[79] - 14*t[80] - 2*t[81] + 
       18*t[82] - 12*t[83] + 8*t[84] + 7*t[85] + 2*t[86] - 31*t[87] - 
       (31*t[88])/2 - 14*t[89] - 24*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*Phi6[u, v, w]*(-t[5]/4 + t[7]/2 + t[8]/2 + t[9]/4 - 
       t[10]/2 + t[11]/2 + t[12]/4 + t[14]/12 - t[15]/24 - t[28] + t[36] + 
       t[61] - (3*t[62])/2 - t[63]/2 + (3*t[64])/2 - t[65]/3 - t[66] + 
       2*t[73] - 6*t[75] + 2*t[79] + 5*t[83] + 2*t[86] - t[89]/2 - 12*t[100])*
      \[Zeta][2] + 12*F1[v, w, u]*HPL[{1}, 1 - u]*t[100]*\[Zeta][2] + 
     12*F1[w, u, v]*HPL[{1}, 1 - u]*t[100]*\[Zeta][2] - 
     12*K1[u, v, w]*t[100]*\[Zeta][2] - 12*K1[v, w, u]*t[100]*\[Zeta][2] + 
     24*K1[w, u, v]*t[100]*\[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - w]*
      (t[5] - 2*t[7] - 2*t[8] - t[9] + 2*t[10] - 2*t[11] - t[12] - t[14]/3 + 
       t[15]/6 - 4*t[61] + 6*t[62] + 2*t[63] - 6*t[64] + (4*t[65])/3 + 
       4*t[66] - 2*t[83] - 8*t[86] + 2*t[89] + 12*t[100])*\[Zeta][2] + 
     F1[u, v, w]*HPL[{1}, 1 - v]*(t[5] - 2*t[7] - 2*t[8] - t[9] + 2*t[10] - 
       2*t[11] - t[12] - t[14]/3 + t[15]/6 + 4*t[28] - 4*t[61] + 6*t[62] + 
       2*t[63] - 6*t[64] + (4*t[65])/3 + 4*t[66] - 2*t[83] - 8*t[86] + 
       2*t[89] + 12*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (-t[1] - 18*t[2] - (297*t[3])/8 + (17*t[4])/2 - (3*t[5])/4 + 
       (113*t[6])/8 + (55*t[7])/4 - (7*t[8])/4 + (161*t[9])/4 + 
       (89*t[10])/8 + (75*t[11])/8 + (169*t[12])/8 - (19*t[13])/9 + 
       (581*t[14])/24 + (77*t[15])/144 + 2*t[19] - 2*t[20] - 2*t[21] + 
       2*t[23] - 5*t[24] + 3*t[25] - 2*t[26] - 7*t[27] - 5*t[28] - 
       (9*t[29])/2 - 5*t[30] + t[31] + (9*t[32])/2 - t[33] - t[34] - t[35] - 
       6*t[36] + t[37] - t[38] - 2*t[39] - 3*t[40] + (3*t[41])/2 - 
       (3*t[42])/2 + t[43]/2 + (19*t[44])/4 + t[45] - (9*t[46])/2 + 3*t[47] + 
       t[48]/8 - (7*t[49])/8 + (37*t[50])/8 + (17*t[51])/8 - (45*t[52])/8 - 
       (37*t[53])/8 - (59*t[54])/8 + 3*t[59] + (115*t[60])/2 + 89*t[61] - 
       (77*t[62])/2 - (51*t[63])/2 + (107*t[64])/2 - (7*t[65])/6 + 
       (53*t[66])/6 + 6*t[69] + 4*t[70] - 4*t[71] + 4*t[72] + 12*t[73] + 
       2*t[74] - 2*t[75] + 4*t[77] + 18*t[78] + 12*t[79] - 2*t[80] + t[81] - 
       11*t[82] + 22*t[83] + (45*t[84])/2 - 8*t[85] + 14*t[86] - 13*t[87] + 
       (23*t[88])/2 - t[89]/4 - 4*t[95] - 6*t[96] + 2*t[97] - 36*t[98] + 
       12*t[99] + 18*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      (t[1] - (25*t[2])/2 + (125*t[3])/8 - (49*t[4])/2 + (61*t[5])/4 - 
       (223*t[6])/8 - (119*t[7])/4 - (137*t[8])/4 - (137*t[9])/4 + 
       (143*t[10])/8 - (237*t[11])/8 - (5*t[12])/8 - (547*t[13])/36 - 
       (1003*t[14])/24 - (833*t[15])/144 - 2*t[19] + 2*t[20] + 2*t[21] - 
       2*t[23] - t[24] - 3*t[25] + 2*t[26] + 7*t[27] + 5*t[28] + 
       (9*t[29])/2 + 5*t[30] + 9*t[31] - (13*t[32])/2 + 3*t[33] + t[34] - 
       t[35] - 10*t[36] + 5*t[37] + t[38] - t[40] + (3*t[41])/2 - 
       (3*t[42])/2 + (3*t[43])/2 - (3*t[44])/4 + t[45] + (5*t[46])/2 - 
       5*t[47] + (13*t[48])/8 + (23*t[49])/8 - (79*t[50])/8 - (61*t[51])/8 + 
       (103*t[52])/8 + (21*t[53])/8 - (59*t[54])/8 - 3*t[59] - 58*t[60] - 
       (211*t[61])/2 + (529*t[62])/4 + (167*t[63])/4 + (315*t[64])/4 + 
       (49*t[65])/6 + (511*t[66])/6 - 4*t[69] - 4*t[70] + 4*t[71] - 6*t[72] + 
       8*t[73] + 6*t[74] + 14*t[75] + 16*t[76] + 2*t[77] - 14*t[78] + 
       6*t[79] - 14*t[80] - 4*t[81] + 22*t[82] - (27*t[83])/2 - 
       (31*t[84])/2 + (27*t[85])/2 - 86*t[86] + (7*t[87])/2 - (65*t[88])/4 + 
       36*t[89] + 4*t[95] + 6*t[96] - 2*t[97] + 84*t[98] - 192*t[99] + 
       207*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (t[1] - (47*t[2])/2 + (165*t[3])/8 + 17*t[4] - (13*t[5])/4 - 
       (121*t[6])/8 - (163*t[7])/4 + (67*t[8])/4 - (67*t[9])/4 + 
       (137*t[10])/8 - (155*t[11])/8 - (139*t[12])/8 - (301*t[13])/36 - 
       (151*t[14])/3 - (2465*t[15])/144 - 2*t[19] + 2*t[21] - 2*t[23] + 
       3*t[24] - 3*t[25] + 2*t[26] + 7*t[27] + 11*t[28] + (9*t[29])/2 + 
       5*t[30] + 5*t[31] - (17*t[32])/2 + t[33] + t[34] - 19*t[35] + 
       5*t[37] + t[38] + 6*t[39] + t[40] + (3*t[41])/2 - (3*t[42])/2 - 
       (3*t[43])/2 - (27*t[44])/4 - 5*t[45] + (7*t[46])/2 + 13*t[47] + 
       (43*t[48])/8 + (61*t[49])/8 - (97*t[50])/8 - (23*t[51])/4 + 
       (89*t[52])/8 - (17*t[53])/8 - (53*t[54])/8 - 3*t[59] - 58*t[60] - 
       (211*t[61])/2 + (529*t[62])/4 + (167*t[63])/4 + (315*t[64])/4 + 
       (49*t[65])/6 + (511*t[66])/6 - 4*t[69] - 4*t[70] + 4*t[71] - 6*t[72] + 
       8*t[73] + 6*t[74] + 14*t[75] + 16*t[76] + 2*t[77] - 14*t[78] + 
       6*t[79] - 14*t[80] - 4*t[81] + 22*t[82] - (27*t[83])/2 - 
       (31*t[84])/2 + (27*t[85])/2 - 86*t[86] + (7*t[87])/2 - (65*t[88])/4 + 
       36*t[89] + 4*t[95] + 6*t[96] - 2*t[97] + 84*t[98] - 192*t[99] + 
       207*t[100])*\[Zeta][2] + Phi6[u, v, w]*((9*t[3])/5 - (6*t[4])/5 + 
       (9*t[5])/5 - (33*t[6])/5 + (6*t[7])/5 - (84*t[8])/5 + (39*t[10])/5 - 
       (21*t[11])/5 - 3*t[12] - 5*t[13] - (12*t[14])/5 - (23*t[15])/10 - 
       (12*t[36])/5 + (6*t[46])/5 - (24*t[48])/5 + 3*t[49] + (24*t[50])/5 - 
       (3*t[51])/5 - (24*t[52])/5 - 3*t[53] - (24*t[54])/5 - (48*t[60])/5 - 
       12*t[61] - (78*t[62])/5 + (18*t[63])/5 + (72*t[64])/5 - (62*t[65])/5 + 
       (2*t[66])/5 - (24*t[79])/5 + (12*t[81])/5 - (12*t[82])/5 + 
       (36*t[83])/5 - (18*t[84])/5 + (72*t[86])/5 + (12*t[87])/5 + 
       (6*t[88])/5 - (48*t[89])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*Phi6[u, v, w]*(-2*t[60] - t[62] + t[63] + 4*t[64] - 
       (4*t[65])/3 + t[82] + 2*t[87] + t[88] + t[89])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*Phi6[u, v, w]*((-3*t[2])/4 - (3*t[3])/2 + (3*t[5])/2 + 
       t[6]/2 - 5*t[7] + (11*t[8])/2 - (29*t[9])/4 + t[10] - t[11]/2 - 
       (5*t[12])/4 - (7*t[13])/6 + (27*t[14])/8 + (19*t[15])/8 - t[32] + 
       t[33] + 2*t[35] - t[36] - t[39] + t[40] + t[46]/2 - t[47] + 
       (5*t[48])/2 + (5*t[49])/2 - (5*t[50])/2 - (11*t[51])/8 + (5*t[52])/2 - 
       (5*t[53])/2 + (5*t[54])/2 - 2*t[60] - t[62] + t[63] + 4*t[64] - 
       (4*t[65])/3 + t[82] + 2*t[87] + t[88] + t[89])*\[Zeta][3]
 
TuvwCoproductEntriet[yv] = C2[w, v, u]*t[4] + C1[v, w, u]*t[6] + 
     C8[w, u, v]*t[10] + A2[u, v, w]*HPL[{1}, 1 - u]*t[10] - 
     A4[u, v, w]*HPL[{1}, 1 - u]*t[10] + C2[u, w, v]*t[11] + 
     C3[u, w, v]*t[13] + (A5[u, v, w]*HPL[{1}, 1 - w]*t[13])/9 + 
     C3[v, u, w]*t[14] + (A3[w, u, v]*HPL[{1}, 1 - u]*t[14])/2 + 
     A1[u, v, w]*HPL[{1}, 1 - w]*(t[9]/2 + t[15]/6) + C16[w, u, v]*t[21] + 
     C12[w, v, u]*t[25] + C14[w, v, u]*t[26] + C12[v, w, u]*t[27] + 
     C15[v, w, u]*t[37] + C14[v, u, w]*(t[28] + t[39]) + C24[w, u, v]*t[46] + 
     C4[v, w, u]*t[59] + (A1[v, w, u]*HPL[{1}, 1 - u]*t[59])/2 + 
     C5[v, w, u]*t[60] + C6[v, w, u]*t[61] + A3[v, w, u]*HPL[{1}, 1 - u]*
      (-t[12] + t[61]) + C7[v, w, u]*t[62] + C9[v, w, u]*t[63] + 
     C8[v, w, u]*t[64] + (A2[u, w, v]*HPL[{1}, 1 - u]*t[64])/2 + 
     H1[w, u, v]*HPL[{1}, 1 - u]^2*(-t[14]/3 + t[60]/2 - t[63] - t[65]/6) + 
     HPL[{1}, 1 - u]^4*Phi6[u, v, w]*(-t[14]/3 + t[60]/2 - t[63] - t[65]/6) + 
     H1[u, v, w]*HPL[{1}, 1 - u]^2*(-t[14]/3 + t[60]/2 + t[63] - t[65]/6) + 
     HPL[{1}, 1 - u]^2*J1[w, u, v]*(t[14]/12 - t[60]/8 - (3*t[63])/4 + 
       t[65]/24) + HPL[{1}, 1 - u]^2*J1[u, v, w]*(t[14]/12 - t[60]/8 + 
       (3*t[63])/4 + t[65]/24) + HPL[{1}, 1 - u]^2*J1[v, w, u]*
      ((5*t[14])/12 - (5*t[60])/8 + (3*t[63])/4 + (5*t[65])/24) + 
     H1[v, w, u]*HPL[{1}, 1 - u]^2*(t[14] - (3*t[60])/2 + t[63] + t[65]/2) + 
     A2[v, w, u]*HPL[{1}, 1 - u]*(-t[14]/4 + t[51]/4 + t[62]/2 - 
       (3*t[63])/2 + (2*t[65])/3) + C10[v, w, u]*t[65] + 
     (4*C19[u, v, w]*t[65])/3 + (2*A1[u, v, w]*HPL[{1}, 1 - u]*t[65])/3 - 
     (2*A3[u, v, w]*HPL[{1}, 1 - u]*t[65])/3 + A2[w, v, u]*HPL[{1}, 1 - u]*
      (-t[60] + t[65]) + H1[w, u, v]*HPL[{1}, 1 - v]^2*
      (t[13]/12 - t[61]/2 - t[62]/2 + t[64] - t[66]) + 
     H1[u, v, w]*HPL[{1}, 1 - w]^2*(-t[5]/2 - t[6]/2 + t[8]/2 + t[9]/4 + 
       t[10] + (3*t[13])/2 - t[14]/4 + t[60]/2 + 2*t[63] + t[64]/2 - 
       t[65]/6 - t[66]) + F1[v, w, u]*HPL[{1}, 1 - v]^3*
      (-t[13]/2 + t[61] + t[62] - 2*t[64] - (2*t[66])/3) + 
     HPL[{1}, 1 - v]^2*J1[w, u, v]*((5*t[13])/16 - (3*t[61])/8 - 
       (3*t[62])/8 + (3*t[64])/4 - (5*t[66])/12) + 
     HPL[{1}, 1 - v]^4*Phi6[u, v, w]*(-t[13]/4 + t[61]/2 + t[62]/2 - t[64] - 
       t[66]/3) + H1[w, u, v]*HPL[{1}, 1 - w]^2*(-t[5]/2 + t[6]/2 - t[8]/2 - 
       (3*t[9])/4 + t[10] - t[13]/3 + (3*t[14])/4 - (3*t[60])/2 + 2*t[63] - 
       t[64]/2 + t[65]/2 - t[66]/3) + HPL[{1}, 1 - w]^2*J1[u, v, w]*
      ((-3*t[5])/8 - (3*t[6])/8 + (3*t[8])/8 - t[9]/16 + (3*t[10])/4 + 
       (13*t[13])/24 + t[14]/16 - t[60]/8 + (3*t[63])/2 + (3*t[64])/8 + 
       t[65]/24 - t[66]/12) + HPL[{1}, 1 - w]^4*Phi6[u, v, w]*
      (t[5]/2 + t[9]/4 - t[10] - (31*t[13])/72 - t[14]/4 + t[60]/2 - 
       2*t[63] - t[65]/6 + t[66]/18) + H1[u, v, w]*HPL[{1}, 1 - v]^2*
      ((-7*t[13])/12 + t[61]/2 + t[62]/2 - t[64] + t[66]/3) + 
     HPL[{1}, 1 - w]^2*J1[w, u, v]*((-3*t[5])/8 + (3*t[6])/8 - (3*t[8])/8 - 
       (5*t[9])/16 + (3*t[10])/4 + (5*t[14])/16 - (5*t[60])/8 + (3*t[63])/2 - 
       (3*t[64])/8 + (5*t[65])/24 + (5*t[66])/12) + 
     HPL[{1}, 1 - v]^2*J1[u, v, w]*((-3*t[13])/16 + (3*t[61])/8 + 
       (3*t[62])/8 - (3*t[64])/4 + (7*t[66])/12) + 
     HPL[{1}, 1 - w]^2*J1[v, w, u]*((3*t[5])/8 - (3*t[6])/8 - (3*t[8])/8 - 
       t[9]/16 - (3*t[10])/4 - t[13]/24 + t[14]/16 - t[60]/8 - (3*t[63])/2 - 
       (3*t[64])/8 + t[65]/24 + (7*t[66])/12) + HPL[{1}, 1 - v]^2*J1[v, w, u]*
      (t[13]/16 - (3*t[61])/8 - (3*t[62])/8 + (3*t[64])/4 + (11*t[66])/12) + 
     2*C10[u, v, w]*t[66] + A1[v, u, w]*HPL[{1}, 1 - w]*
      (t[1]/2 + t[13]/6 + t[59]/2 + (4*t[66])/3) + 
     A1[w, u, v]*HPL[{1}, 1 - w]*(-t[6]/2 - t[13]/2 - t[42]/2 + t[59]/2 + 
       (4*t[66])/3) + C26[w, u, v]*((-2*t[13])/3 - t[14]/2 + t[51]/2 + 
       (2*t[65])/3 + (4*t[66])/3) + C13[v, u, w]*(t[1] - 2*t[12] - 
       (2*t[13])/3 + t[38] - t[59]/2 + t[61]/2 + (2*t[65])/3 + (4*t[66])/3) + 
     H1[v, w, u]*HPL[{1}, 1 - v]^2*((5*t[13])/12 - t[61]/2 - t[62]/2 + 
       t[64] + (5*t[66])/3) + H1[v, w, u]*HPL[{1}, 1 - w]^2*
      (t[5]/2 - t[6]/2 - t[8]/2 + t[9]/4 - t[10] - (5*t[13])/6 - t[14]/4 + 
       t[60]/2 - 2*t[63] - t[64]/2 - t[65]/6 + (5*t[66])/3) + 
     A4[u, v, w]*HPL[{1}, 1 - w]*(t[6]/2 - (13*t[13])/12 + 4*t[66]) + 
     C17[v, w, u]*t[67] + C19[w, u, v]*(-t[2] + t[6]/2 + t[13]/6 - t[14] + 
       t[15]/6 - t[21] + t[23] - t[41]/2 + t[42]/2 + t[69]) + 
     A1[v, w, u]*HPL[{1}, 1 - w]*(-t[1] + 2*t[12] + (2*t[13])/3 + t[59]/2 - 
       t[61]/2 - (2*t[65])/3 - (4*t[66])/3 + t[69]) + 
     A1[w, v, u]*HPL[{1}, 1 - w]*((-3*t[2])/2 + t[13]/3 - t[14]/3 + t[15]/2 - 
       t[18] + t[59]/2 - t[61]/2 - (2*t[65])/3 - (4*t[66])/3 + t[69]) + 
     A1[v, u, w]*HPL[{1}, 1 - u]*(t[12] - (2*t[13])/3 + t[59]/2 - t[61]/2 + 
       (4*t[66])/3 + t[69]) + C16[v, w, u]*t[70] + 
     C19[v, w, u]*(t[12] - (2*t[13])/3 + t[59]/2 - t[61]/2 + (2*t[66])/3 + 
       t[69] - t[70] + t[71]) + C21[w, u, v]*t[73] + 
     A8[u, v, w]*HPL[{1}, 1 - u]*t[73] + C22[v, w, u]*t[74] + 
     C23[w, u, v]*t[75] + A9[u, v, w]*HPL[{1}, 1 - u]*t[75] + 
     2*C24[u, v, w]*t[79] + 2*A7[u, v, w]*HPL[{1}, 1 - w]*t[79] + 
     C15[w, v, u]*(-t[13]/9 + t[35] - 2*t[80]) + 
     C24[v, w, u]*(t[81] - t[82]) - C14[v, w, u]*t[82] + 
     A6[v, w, u]*HPL[{1}, 1 - u]*t[83] + A6[w, u, v]*HPL[{1}, 1 - u]*
      (t[72] + t[83]) + A2[v, u, w]*HPL[{1}, 1 - w]*(t[7] + t[8] - 2*t[10] - 
       (2*t[14])/3 - t[62]/2 - (5*t[63])/2 + (3*t[64])/2 + (2*t[65])/3 + 
       2*t[86]) + A2[w, u, v]*HPL[{1}, 1 - w]*(-t[4] + t[7]/2 + t[8]/2 + 
       t[9]/2 - t[10]/2 + t[12] - t[15]/4 - t[43]/2 - t[62]/2 - (5*t[63])/2 + 
       (3*t[64])/2 + (2*t[65])/3 + 2*t[86]) + A3[u, v, w]*HPL[{1}, 1 - w]*
      (t[7] + t[8] - t[9]/2 - t[10] - 2*t[62] - 2*t[63] + 2*t[64] + 
       4*t[86]) + C26[u, v, w]*(t[7] + t[8] - t[10] - (2*t[14])/3 - 2*t[62] - 
       2*t[63] + 2*t[64] + (2*t[65])/3 + 4*t[86]) + 
     Omega2[v, w, u]*Phi6[u, v, w]*((3*t[2])/4 - (3*t[4])/2 + 3*t[5] - 
       (3*t[6])/4 + t[8] + t[9]/2 + 7*t[10] - (9*t[11])/2 + (3*t[12])/2 - 
       (7*t[13])/8 + t[14]/2 + t[35] + (3*t[48])/4 - (3*t[50])/4 + 
       (3*t[52])/4 + (3*t[54])/4 + (3*t[60])/2 + t[61]/2 + (11*t[62])/4 + 
       (11*t[63])/4 + t[64]/2 + (9*t[65])/4 + (7*t[66])/4 - t[81]/2 + 
       t[82]/2 - (3*t[83])/2 + (3*t[84])/4 - (3*t[87])/2 - (3*t[88])/4) + 
     Omega2[w, u, v]*Phi6[u, v, w]*((3*t[2])/4 - (3*t[4])/2 + 3*t[5] - 
       (3*t[6])/4 + t[8] + t[9]/2 + 7*t[10] - (9*t[11])/2 + (3*t[12])/2 - 
       (7*t[13])/8 + t[14]/2 + t[35] + (3*t[48])/4 - (3*t[50])/4 + 
       (3*t[52])/4 + (3*t[54])/4 + (3*t[60])/2 + t[61]/2 + (11*t[62])/4 + 
       (11*t[63])/4 + t[64]/2 + (9*t[65])/4 + (7*t[66])/4 - t[81]/2 + 
       t[82]/2 - (3*t[83])/2 + (3*t[84])/4 - (3*t[87])/2 - (3*t[88])/4) + 
     C11[w, u, v]*(t[4] - t[12] + 2*t[60] - 2*t[65] - t[87] - t[88]/2) + 
     A2[w, u, v]*HPL[{1}, 1 - u]*(t[60] - t[65] - t[87] - t[88]/2) + 
     A4[w, u, v]*HPL[{1}, 1 - w]*(-t[3]/2 + t[4] + t[5]/4 + t[6]/2 + t[7]/2 + 
       (3*t[8])/2 + (3*t[9])/4 + (3*t[10])/2 + t[11]/2 - t[12]/4 + t[13]/4 + 
       (11*t[14])/12 + (7*t[15])/24 + 2*t[60] + 2*t[61] - 2*t[62] - t[64] - 
       t[65] - t[66] - t[87] - t[88]/2) + A4[v, w, u]*HPL[{1}, 1 - w]*
      (-t[5]/4 + t[7]/2 - t[8]/2 + t[9]/4 - t[10]/2 + t[11]/2 + t[12]/4 + 
       (3*t[14])/4 - (5*t[15])/24 + t[20] - t[22] + 2*t[60] + 2*t[61] - 
       2*t[62] - t[64] - t[65] - t[66] - t[87] - t[88]/2) + 
     C11[v, u, w]*(-t[5]/4 - t[7]/2 + t[8]/2 + t[9]/4 + (3*t[10])/2 + 
       t[11]/2 + t[12]/4 + (13*t[14])/12 - (5*t[15])/24 + t[20] + t[52] + 
       2*t[60] + 2*t[61] - 2*t[62] - t[64] - t[65] - t[66] - t[87] - 
       t[88]/2) + C11[w, v, u]*(-t[4] + t[12] + t[53] - 2*t[60] + 2*t[65] + 
       t[87] + t[88]/2) + Omega2[u, v, w]*Phi6[u, v, w]*
      ((-3*t[2])/4 + (3*t[4])/2 - 3*t[5] + (3*t[6])/4 - t[8] - t[9]/2 - 
       7*t[10] + (9*t[11])/2 - (3*t[12])/2 + (7*t[13])/8 - t[14]/2 - t[35] - 
       (3*t[48])/4 + (3*t[50])/4 - (3*t[52])/4 - (3*t[54])/4 - (3*t[60])/2 - 
       t[61]/2 - (11*t[62])/4 - (11*t[63])/4 - t[64]/2 - (9*t[65])/4 - 
       (7*t[66])/4 + t[81]/2 - t[82]/2 + (3*t[83])/2 - (3*t[84])/4 + 
       (3*t[87])/2 + (3*t[88])/4) - (A4[w, u, v]*HPL[{1}, 1 - u]*t[88])/2 + 
     HPL[{1}, 1 - w]^2*K1[v, w, u]*((-19*t[2])/8 + t[3]/4 + 2*t[5] - t[6]/8 - 
       (7*t[7])/8 - (21*t[8])/8 - (19*t[9])/8 + (11*t[10])/8 - (9*t[11])/8 - 
       (7*t[12])/8 - t[13]/72 + (23*t[14])/24 + (103*t[15])/48 + t[23]/2 + 
       t[24]/2 + t[31]/2 + t[35]/2 - t[41]/4 + t[42]/4 + t[45] - 3*t[47] - 
       (9*t[48])/8 + (3*t[50])/8 - (3*t[52])/8 - (7*t[54])/8 + t[59]/2 + 
       (7*t[60])/4 - (5*t[61])/4 + (29*t[62])/8 + (27*t[63])/8 - 
       (89*t[64])/8 - (55*t[65])/12 + (11*t[66])/12 + (3*t[69])/2 - t[70] + 
       t[71] - t[74]/2 - (3*t[79])/2 - 4*t[80] - t[84]/4 + t[85]/4 - 
       (11*t[86])/2 - (7*t[87])/4 - (7*t[88])/8 - (15*t[89])/8) + 
     C13[u, w, v]*(-t[5]/2 + t[9]/2 + t[11] + t[12]/2 + t[14]/6 - t[15]/12 + 
       t[40] + 2*t[61] - t[62] + t[63] + t[64] - (4*t[65])/3 - 2*t[66] - 
       t[77] - t[89]) + C20[u, v, w]*(-t[4]/2 + (3*t[10])/4 - t[11] + 
       t[12]/4 - (5*t[13])/6 - t[14]/24 + t[15]/12 - t[49]/4 + t[51]/8 + 
       t[53]/4 + t[54]/2 - t[60]/2 - t[61]/2 - t[62]/4 + t[63]/4 + 
       (5*t[64])/4 - (5*t[65])/6 + (3*t[66])/2 - t[84]/2 - t[85]/2 + 
       t[87]/2 + t[88]/4 - (3*t[89])/4) + C25[u, v, w]*
      (t[61] + t[62]/2 - t[63]/2 + t[64]/2 - t[65]/3 - t[89]/2) + 
     C25[w, u, v]*(t[10]/2 - t[12]/2 - t[13]/3 + t[14]/4 - t[15]/6 + 
       t[49]/2 + t[51]/4 - t[53]/2 + t[61] - t[62]/2 + t[63]/2 + t[64]/2 - 
       t[65]/3 - (2*t[66])/3 + t[83] - t[89]/2) + 
     C15[v, u, w]*(t[4] + t[10]/2 - t[12]/2 - t[13]/3 + (3*t[14])/4 - 
       t[15]/6 + t[49]/2 - t[51]/4 - t[53]/2 + t[60] - t[62]/2 + t[63]/2 - 
       2*t[64] - (4*t[65])/3 - (2*t[66])/3 - t[87] - t[88]/2 - t[89]/2) + 
     A5[w, u, v]*HPL[{1}, 1 - w]*(t[4] + t[10]/2 - t[12]/2 - t[13]/3 + 
       (3*t[14])/4 - t[15]/6 + t[49]/2 - t[51]/4 - t[53]/2 + t[60] - 
       t[62]/2 + t[63]/2 - 2*t[64] - (4*t[65])/3 - (2*t[66])/3 - t[87] - 
       t[88]/2 - t[89]/2) + A5[v, w, u]*HPL[{1}, 1 - w]*
      (-t[6]/2 + t[7] - 2*t[8] + t[9] + t[11]/2 + t[14]/2 - t[15]/6 - 
       t[48]/2 + t[50]/2 - t[52]/2 - t[54]/2 + t[60] - t[62]/2 + t[63]/2 - 
       2*t[64] - (4*t[65])/3 - (2*t[66])/3 - t[87] - t[88]/2 - t[89]/2) + 
     C15[w, u, v]*(t[5]/2 - t[6]/2 - 2*t[8] - t[9]/2 + 2*t[10] - t[11]/2 - 
       t[12]/2 - (4*t[13])/9 + (2*t[14])/3 + (7*t[15])/12 + t[45] - 2*t[47] - 
       t[48]/2 + t[50]/2 - t[52]/2 - t[54]/2 + t[60] - t[61] + t[62] + 
       t[63] - (11*t[64])/2 - (4*t[65])/3 + (4*t[66])/3 - 2*t[80] - 2*t[86] - 
       t[87] - t[88]/2 - t[89]/2) + HPL[{1}, 1 - v]^2*K1[u, v, w]*
      (t[4]/2 + t[7]/8 + t[8]/8 - t[11]/2 + t[12]/8 - t[13]/6 + 
       (11*t[14])/24 - t[15]/8 + t[37]/2 - t[46]/4 + (3*t[49])/8 - 
       (3*t[53])/8 + t[59]/4 + t[60]/2 + t[61]/4 + t[62]/2 + t[63] - 
       2*t[64] - t[65]/2 - t[66]/3 + t[69]/2 - t[70]/2 + t[71]/2 - t[74]/2 - 
       t[79]/2 + t[83]/4 + t[86]/2 - t[87]/2 - t[88]/4 - t[89]/2) + 
     A6[u, v, w]*HPL[{1}, 1 - u]*(-t[4] + t[10]/2 + t[12]/2 - t[13]/3 + 
       t[14]/4 - t[15]/6 - t[49]/2 + t[51]/4 + t[53]/2 - 2*t[60] + t[61] - 
       t[62]/2 + t[63]/2 + t[64]/2 + (5*t[65])/3 - (2*t[66])/3 + t[83] + 
       t[87] + t[88]/2 - t[89]/2) + C13[w, u, v]*(-t[4] + t[6]/2 + t[10]/2 - 
       t[11] + t[12]/2 - t[13]/3 + (3*t[14])/4 + t[15]/6 - t[49]/2 + 
       t[51]/4 + t[53]/2 + t[54] - t[60] + t[61] - t[62]/2 + t[63]/2 + 
       t[64]/2 + t[65]/3 + (4*t[66])/3 - t[85] + t[87] + t[88]/2 - t[89]/2) + 
     C26[v, w, u]*(t[5] + t[6]/2 - t[9] + t[11]/2 - t[13]/3 - t[14]/2 + 
       t[15]/2 + t[48]/2 + t[50]/2 - t[52]/2 - t[54]/2 - t[60] + t[61] - 
       t[62]/2 + t[63]/2 + t[64]/2 + (2*t[65])/3 + 2*t[66] - t[85] + t[87] + 
       t[88]/2 - t[89]/2) + C11[v, w, u]*(-t[4]/2 + t[7] - t[8] - 
       (5*t[10])/4 - t[11] - t[12]/4 - (5*t[13])/6 - (7*t[14])/24 + t[15]/4 + 
       t[49]/4 - t[51]/8 - t[53]/4 + t[54]/2 - (3*t[60])/2 + t[61]/2 + 
       t[62]/4 + (7*t[63])/4 + t[64]/4 + t[65]/2 + (3*t[66])/2 - t[84]/2 - 
       t[85]/2 + t[87]/2 + t[88]/4 - t[89]/4) + A4[v, w, u]*HPL[{1}, 1 - u]*
      (-t[4]/2 + (3*t[10])/4 - t[11] - t[12]/4 - (5*t[13])/6 + t[14]/24 + 
       t[15]/4 + t[49]/4 - t[51]/8 - t[53]/4 + t[54]/2 - (3*t[60])/2 + 
       t[61]/2 + t[62]/4 + (7*t[63])/4 + t[64]/4 + t[65]/2 + (3*t[66])/2 - 
       t[84]/2 - t[85]/2 + t[87]/2 + t[88]/4 - t[89]/4) + 
     A6[v, w, u]*HPL[{1}, 1 - w]*(t[4]/2 + t[5]/2 - t[9]/2 - (9*t[10])/4 + 
       2*t[11] + t[12]/4 + (7*t[13])/6 + (5*t[14])/24 + t[15]/6 + t[49]/4 - 
       t[51]/8 - t[53]/4 - t[54]/2 + t[60]/2 + (3*t[61])/2 + (3*t[62])/4 - 
       (3*t[63])/4 - t[64]/4 + t[65]/2 - (17*t[66])/6 + t[84]/2 + t[85]/2 - 
       t[87]/2 - t[88]/4 + t[89]/4) + A6[w, u, v]*HPL[{1}, 1 - w]*
      (-t[3]/2 - t[5] + t[6]/4 + t[7] + t[8] + (3*t[9])/2 - t[10] + t[11]/4 + 
       (5*t[13])/12 + (3*t[14])/4 + t[48]/4 + t[50]/4 - t[52]/4 + 
       (3*t[54])/4 + t[60]/2 + (3*t[61])/2 + (3*t[62])/4 - (3*t[63])/4 - 
       t[64]/4 + t[65]/2 - (17*t[66])/6 + t[84]/2 + t[85]/2 - t[87]/2 - 
       t[88]/4 + t[89]/4) + C20[w, u, v]*(-t[3]/2 - (3*t[5])/4 + (3*t[6])/4 + 
       t[7]/2 + (3*t[8])/2 + (5*t[9])/4 + (3*t[10])/2 + t[11]/4 - t[12]/4 + 
       (5*t[13])/12 + (7*t[14])/6 + t[15]/24 - t[48]/4 - t[50]/4 + t[52]/4 + 
       t[54]/4 + (3*t[60])/2 + (3*t[61])/2 - (9*t[62])/4 - (7*t[63])/4 - 
       (3*t[64])/4 + t[65]/2 - (5*t[66])/2 + t[72] + t[84]/2 + t[85]/2 - 
       t[87]/2 - t[88]/4 + t[89]/4) + A2[v, u, w]*HPL[{1}, 1 - u]*
      (t[4]/2 - (3*t[10])/4 + t[11] + t[12]/4 + (5*t[13])/6 - t[14]/24 + 
       t[15]/12 - t[49]/4 + t[51]/8 + t[53]/4 - t[54]/2 + t[60]/2 - t[61]/2 - 
       t[62]/4 - (7*t[63])/4 - t[64]/4 + t[65]/2 - (3*t[66])/2 + t[72] + 
       t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + t[89]/4) + 
     A2[v, w, u]*HPL[{1}, 1 - w]*(t[4]/2 - t[7] + t[8] + (5*t[10])/4 + 
       t[11] + t[12]/4 + (5*t[13])/6 + (7*t[14])/24 + t[15]/12 - t[49]/4 + 
       t[51]/8 + t[53]/4 - t[54]/2 + t[60]/2 - t[61]/2 - t[62]/4 - 
       (7*t[63])/4 - t[64]/4 + t[65]/2 - (3*t[66])/2 + t[72] + t[84]/2 + 
       t[85]/2 - t[87]/2 - t[88]/4 + t[89]/4) + A2[w, v, u]*HPL[{1}, 1 - w]*
      (-t[5] + t[6]/4 + t[9]/2 - t[11]/4 + t[13]/6 + t[14]/4 - t[15]/4 - 
       t[48]/4 - t[50]/4 + t[52]/4 + t[54]/4 + t[60]/2 - t[61]/2 - t[62]/4 - 
       (7*t[63])/4 - t[64]/4 + t[65]/2 - (3*t[66])/2 + t[72] + t[84]/2 + 
       t[85]/2 - t[87]/2 - t[88]/4 + t[89]/4) + A3[w, u, v]*HPL[{1}, 1 - w]*
      (t[4] + t[6]/2 - t[10]/2 + t[11] - t[12]/2 + t[13]/3 - t[14]/12 - 
       t[15]/6 + t[49]/2 - t[51]/4 - t[53]/2 - t[54] + t[60] + t[62]/2 - 
       t[63]/2 - t[64]/2 - t[65] + t[85] - t[87] - t[88]/2 + t[89]/2) + 
     A3[v, w, u]*HPL[{1}, 1 - w]*(-t[5] + t[6]/2 + t[9] - t[11]/2 + t[12]/2 - 
       (5*t[13])/6 + t[14]/2 - t[15]/2 + t[31] - t[48]/2 - t[50]/2 + 
       t[52]/2 + t[54]/2 + t[60] + t[62]/2 - t[63]/2 - t[64]/2 - t[65] + 
       t[85] - t[87] - t[88]/2 + t[89]/2) + C13[v, w, u]*
      (-t[1]/2 - t[5] + t[6]/2 + t[9] - t[11]/2 + t[12] + t[13]/3 + t[14]/2 - 
       t[15]/2 + t[31] - t[48]/2 - t[50]/2 + t[52]/2 + t[54]/2 - t[59]/2 + 
       t[60] - t[61]/2 + t[62]/2 - t[63]/2 - t[64]/2 - t[65] - (8*t[66])/3 + 
       t[85] - t[87] - t[88]/2 + t[89]/2) + C13[w, v, u]*
      (t[4] - t[6]/2 - t[10]/2 + t[11] - t[12]/2 + t[13]/3 - (3*t[14])/4 - 
       t[15]/6 + t[49]/2 - t[51]/4 - t[53]/2 - t[54] + t[60] - t[61] + 
       t[62]/2 - t[63]/2 - t[64]/2 - t[65]/3 - (4*t[66])/3 + t[85] - t[87] - 
       t[88]/2 + t[89]/2) + A1[w, u, v]*HPL[{1}, 1 - u]*
      (t[4] - t[6]/2 - t[10]/2 + t[11] - t[12]/2 + t[13]/3 - (3*t[14])/4 - 
       t[15]/6 - t[19] + t[49]/2 - t[51]/4 - t[53]/2 - t[54] + t[60] - 
       t[61] + t[62]/2 - t[63]/2 - t[64]/2 - t[65]/3 - (4*t[66])/3 + t[85] - 
       t[87] - t[88]/2 + t[89]/2) + C15[u, v, w]*(-t[4] - t[10]/2 + t[12]/2 + 
       t[13]/3 - (3*t[14])/4 + t[15]/6 - t[49]/2 + t[51]/4 + t[53]/2 - 
       t[60] + t[62]/2 - t[63]/2 + 2*t[64] + (4*t[65])/3 + (2*t[66])/3 + 
       t[87] + t[88]/2 + t[89]/2) + C11[u, v, w]*(-t[3]/2 - t[5] + t[6]/4 + 
       t[7] + t[8] + (3*t[9])/2 + t[10] + t[11]/4 + (5*t[13])/12 + 
       (3*t[14])/4 + t[48]/4 + t[50]/4 - t[52]/4 + (3*t[54])/4 + t[60]/2 + 
       t[61]/2 + t[62]/4 - t[63]/4 - (3*t[64])/4 + (5*t[65])/6 - 
       (17*t[66])/6 + t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + (3*t[89])/4) + 
     A2[u, w, v]*HPL[{1}, 1 - w]*(t[4]/2 - (5*t[10])/4 + t[11] - t[12]/4 + 
       (5*t[13])/6 + t[14]/24 - t[15]/12 + t[49]/4 - t[51]/8 - t[53]/4 - 
       t[54]/2 + t[60]/2 + t[61]/2 + t[62]/4 - t[63]/4 - (3*t[64])/4 + 
       (5*t[65])/6 - (5*t[66])/6 + t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + 
       (3*t[89])/4) + A2[u, v, w]*HPL[{1}, 1 - w]*(-t[3]/2 - t[5] - t[6]/4 + 
       t[7] + t[8] + (3*t[9])/2 + t[10] + t[11]/4 - t[13]/6 + (3*t[14])/4 + 
       t[48]/4 + t[50]/4 - t[52]/4 + (3*t[54])/4 + t[60]/2 + t[61]/2 + 
       t[62]/4 - t[63]/4 - (3*t[64])/4 + (5*t[65])/6 - (5*t[66])/6 + 
       t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + (3*t[89])/4) + 
     C11[u, w, v]*(t[4]/2 - (5*t[10])/4 + t[11] - t[12]/4 + t[13]/6 + 
       t[14]/24 - t[15]/12 + t[49]/4 - t[51]/8 - t[53]/4 - t[54]/2 + 
       t[60]/2 + t[61]/2 + t[62]/4 - t[63]/4 - (3*t[64])/4 + (5*t[65])/6 + 
       (7*t[66])/6 + t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + (3*t[89])/4) + 
     C15[u, w, v]*(-t[10] + (2*t[13])/3 - (5*t[14])/4 + t[15]/3 + t[51]/4 - 
       t[61] + (3*t[62])/2 - (3*t[63])/2 + (3*t[64])/2 + (2*t[65])/3 + 
       (4*t[66])/3 + t[89]) + A6[u, v, w]*HPL[{1}, 1 - w]*
      (-t[3]/2 + t[4]/2 - (3*t[5])/4 + (3*t[6])/4 - t[7]/2 + t[8]/2 + 
       (5*t[9])/4 + (3*t[10])/4 + (5*t[11])/4 + (5*t[13])/4 + (35*t[14])/24 + 
       t[15]/8 - t[48]/4 - t[49]/4 - t[50]/4 + t[51]/8 + t[52]/4 + t[53]/4 - 
       t[54]/4 + 2*t[60] + 2*t[61] + t[62] - t[63] - 4*t[64] + (4*t[65])/3 - 
       4*t[66] + 2*t[72] + t[84] + t[85] - 4*t[86] - t[87] - t[88]/2 + 
       t[89]) + F1[u, v, w]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((3*t[1])/4 - (7*t[2])/4 - (5*t[3])/4 - (3*t[4])/2 - t[5]/8 - 
       (3*t[6])/8 + (17*t[7])/8 - (31*t[8])/8 + (5*t[9])/8 - (9*t[10])/4 + 
       (31*t[11])/8 + (3*t[12])/4 - (7*t[13])/72 + (11*t[14])/6 + 
       (45*t[15])/16 - t[21] + t[23] - t[24] + t[35] - t[37]/2 - t[41]/2 + 
       t[42]/2 + 2*t[45] + (3*t[46])/4 - 5*t[47] - (7*t[48])/8 - 
       (15*t[49])/8 + (13*t[50])/8 - (3*t[51])/8 - (13*t[52])/8 + 
       (15*t[53])/8 - (5*t[54])/8 + t[59]/2 + (9*t[60])/4 - (5*t[61])/2 + 
       (3*t[62])/2 - (5*t[63])/2 - (65*t[64])/8 + (11*t[65])/3 + 
       (20*t[66])/3 + t[69]/2 + t[70]/2 - t[71]/2 - t[74]/2 + t[79]/2 - 
       6*t[80] - (11*t[83])/4 + (3*t[84])/4 + t[85]/4 + (5*t[86])/2 - 
       (9*t[87])/4 - (9*t[88])/8 + (9*t[89])/8) + 
     C20[v, w, u]*(t[4]/2 - t[10]/4 + t[11] + t[12]/4 + (5*t[13])/6 - 
       t[14]/24 + t[15]/12 - t[49]/4 + t[51]/8 + t[53]/4 - t[54]/2 + 
       t[60]/2 - t[61]/2 - t[62]/4 - (7*t[63])/4 - t[64]/4 + (5*t[65])/6 - 
       (3*t[66])/2 + t[72] + t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + 
       (5*t[89])/4) + HPL[{1}, 1 - u]^2*K1[w, u, v]*(-t[4] - (3*t[10])/2 + 
       t[12]/2 + t[13] - 2*t[14] + t[15]/2 - t[49]/2 + t[51]/2 + t[53]/2 - 
       t[60] - t[61] + 2*t[62] - 2*t[63] + (7*t[64])/2 + 2*t[65] + 2*t[66] - 
       t[75] + 2*t[83] + t[87] + t[88]/2 + (3*t[89])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*(t[3]/4 - (11*t[4])/2 + 
       (7*t[5])/8 + (3*t[7])/8 - t[8]/8 - (9*t[9])/8 - (7*t[10])/4 - 
       (3*t[11])/4 + t[12]/2 + (3*t[13])/8 - (115*t[14])/24 + (15*t[15])/16 - 
       t[37]/2 + t[46]/4 - (9*t[49])/8 + t[50]/2 + (11*t[51])/8 - t[52]/2 + 
       (9*t[53])/8 - t[54]/2 - t[59]/4 - 3*t[60] - (17*t[61])/4 + 
       (3*t[62])/4 - (17*t[63])/4 + 9*t[64] + (25*t[65])/4 + (31*t[66])/4 - 
       t[69]/2 + t[70]/2 - t[71]/2 - t[73] - t[74]/2 + 2*t[75] + 
       (3*t[79])/2 - t[81]/2 + t[82]/2 - t[83]/4 - t[84]/4 - t[85]/2 + 
       (5*t[86])/2 + (5*t[87])/2 + (5*t[88])/4 + (7*t[89])/2) + 
     C28[u, v, w]*t[91] + C21[v, w, u]*(t[73] + t[76] + 6*t[98]) + 
     C23[v, w, u]*(t[75] + t[78] + 6*t[99]) + HPL[{0, 0, 1, 1}, 1 - v]*
      Phi6[u, v, w]*((-49*t[2])/4 - 3*t[3] + (57*t[4])/8 + (211*t[5])/8 - 
       (15*t[6])/2 + (157*t[7])/4 - (121*t[8])/2 + (27*t[9])/8 - 
       (223*t[10])/16 + (233*t[11])/4 - (149*t[12])/16 + (253*t[13])/9 + 
       (2173*t[14])/96 + (179*t[15])/24 - t[26] + 2*t[27] + 6*t[28] - 
       2*t[29] - 2*t[30] - t[32] + t[33] + t[34] - 10*t[35] - 5*t[36] - 
       4*t[37] + 7*t[39] - 5*t[40] - t[41]/2 + t[42]/2 + (7*t[43])/2 + 
       16*t[44] - (5*t[45])/4 + t[46]/2 + (3*t[47])/2 - (25*t[48])/4 - 
       (13*t[49])/16 + (11*t[50])/4 + (43*t[51])/32 - (31*t[52])/4 - 
       (3*t[53])/16 - (197*t[54])/8 - t[58] - t[59]/2 + (353*t[60])/8 + 
       (627*t[61])/8 - (415*t[62])/16 - (73*t[63])/16 - (649*t[64])/16 - 
       (1097*t[65])/24 - (469*t[66])/8 - 6*t[69] + 8*t[72] + 4*t[73] + 
       8*t[74] + 4*t[75] + 29*t[76] + 7*t[77] - 30*t[78] + 18*t[79] + 
       25*t[80] + 6*t[81] + 13*t[82] - 27*t[83] + (139*t[84])/8 + 
       (143*t[85])/8 - (71*t[86])/2 - (367*t[87])/8 - (367*t[88])/16 - 
       (253*t[89])/16 + t[97] + 200*t[98] - 248*t[99] - 222*t[100]) + 
     F1[v, w, u]*HPL[{0, 1, 1}, 1 - w]*(-t[1] + (49*t[2])/4 - (109*t[3])/8 + 
       (13*t[4])/4 - (469*t[5])/16 + (35*t[6])/4 + 26*t[7] + (113*t[8])/4 + 
       (879*t[9])/16 - (99*t[10])/8 + (25*t[11])/8 + (103*t[12])/16 - 
       (127*t[13])/24 + (677*t[14])/12 - (469*t[15])/96 + 4*t[21] - 2*t[22] - 
       4*t[23] + 2*t[24] + 6*t[28] + 3*t[32] - 3*t[33] + 8*t[34] - 2*t[35] - 
       t[36] - 2*t[38] + 9*t[39] - 6*t[40] + 2*t[41] - 2*t[42] - t[43]/8 - 
       (25*t[45])/2 + (3*t[46])/2 + 9*t[47] + 4*t[48] + (41*t[49])/8 - 
       7*t[50] - (39*t[51])/16 + 13*t[52] - (41*t[53])/8 + (47*t[54])/4 - 
       2*t[57] - t[59]/2 + (145*t[60])/4 + (127*t[61])/2 - (37*t[62])/4 + 
       (83*t[63])/4 - (141*t[64])/4 - (283*t[65])/12 - (151*t[66])/4 - 
       4*t[69] + 4*t[72] - 2*t[73] + 4*t[74] + 11*t[75] + 18*t[76] + 
       2*t[77] - 12*t[78] - 2*t[79] + 19*t[80] + (11*t[81])/2 + (5*t[82])/2 + 
       5*t[83] + (17*t[84])/2 + (45*t[85])/4 - (15*t[86])/2 - (125*t[87])/4 - 
       (125*t[88])/8 - (159*t[89])/8 + t[97] + 74*t[98] - 72*t[99] - 
       112*t[100]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - u]*
      (2*t[1] + t[2]/2 - (25*t[3])/2 + (137*t[4])/8 + (83*t[5])/8 + 12*t[6] + 
       16*t[7] + 14*t[8] + (127*t[9])/8 - (525*t[10])/16 + (201*t[11])/4 - 
       (115*t[12])/16 + (1037*t[13])/72 + (5405*t[14])/96 + 2*t[15] - 
       4*t[27] + 2*t[28] + t[31] - 2*t[34] + t[38] + t[39] - t[40] + t[41] - 
       t[42] + (17*t[43])/4 - 2*t[44] - 2*t[46] + (7*t[48])/2 + 
       (245*t[49])/16 - (27*t[50])/2 - (217*t[51])/32 + (23*t[52])/2 - 
       (181*t[53])/16 - (47*t[54])/8 + t[59] + (489*t[60])/8 + 
       (939*t[61])/8 - (607*t[62])/16 - (481*t[63])/16 - (509*t[64])/16 - 
       (587*t[65])/8 - (821*t[66])/8 - t[72] + 7*t[75] + 15*t[76] + 3*t[77] - 
       14*t[78] - 5*t[79] + 17*t[80] + 4*t[81] - 13*t[82] - 11*t[83] + 
       (7*t[84])/8 - (9*t[85])/8 - 4*t[86] - (375*t[87])/8 - (375*t[88])/16 - 
       (209*t[89])/16 + 6*t[96] + 4*t[97] + 74*t[98] - 72*t[99] - 
       112*t[100]) + F1[v, w, u]*HPL[{0, 0, 1}, 1 - v]*
      (t[1]/2 + (95*t[2])/8 - (11*t[3])/2 + (11*t[4])/8 + (165*t[5])/16 + 
       (119*t[6])/8 - (13*t[7])/4 + (165*t[8])/4 - (35*t[9])/16 - 
       (271*t[10])/16 + (127*t[11])/8 + (29*t[12])/8 + (41*t[13])/3 + 
       (611*t[14])/32 + (1525*t[15])/96 + 2*t[19] + 2*t[21] - 2*t[23] + 
       t[24] - 3*t[27] + 2*t[28] - t[29] + 4*t[30] + (7*t[32])/2 - t[33]/2 - 
       2*t[34] - 2*t[35] - (3*t[37])/2 + 3*t[39] - t[40] + t[41]/4 - 
       t[42]/4 - t[43]/4 - (7*t[44])/2 + (5*t[45])/2 - t[46]/2 - 8*t[47] + 
       (77*t[48])/8 + (3*t[49])/16 - (19*t[50])/8 + t[51]/32 + (35*t[52])/8 - 
       (3*t[53])/16 + (11*t[54])/2 + t[59]/2 + (105*t[60])/8 + 
       (519*t[61])/8 - (151*t[62])/16 + (163*t[63])/16 - (435*t[64])/16 + 
       (29*t[65])/4 - (289*t[66])/12 - 2*t[69] + t[70] - t[71] + 5*t[72] - 
       2*t[73] + t[74]/2 - 5*t[75] - (11*t[76])/2 - t[77]/2 + (19*t[78])/2 - 
       3*t[79] + 3*t[80] + t[81]/4 - (9*t[82])/4 - (3*t[83])/2 + 4*t[84] - 
       (129*t[85])/8 - 12*t[86] - (35*t[87])/8 + (13*t[88])/16 - 
       (217*t[89])/16 - 3*t[95] - t[96] + t[97] - 36*t[98] + 70*t[99] - 
       98*t[100]) + G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      ((-27*t[3])/4 - t[4] - (71*t[5])/8 + (67*t[6])/8 + (21*t[7])/2 + 
       16*t[8] + (125*t[9])/8 + (17*t[10])/4 + (81*t[11])/8 + (13*t[12])/8 + 
       (277*t[13])/72 + (77*t[14])/4 + (157*t[15])/48 + t[25] + t[26] - 
       t[27] + 3*t[35] + t[37] + 4*t[45] + (15*t[46])/2 - 8*t[47] + 
       (35*t[48])/8 - t[49]/4 - (41*t[50])/8 - t[51]/4 + (41*t[52])/8 + 
       t[53]/4 + (41*t[54])/8 + (115*t[60])/4 + (183*t[61])/4 - 
       (141*t[62])/8 - (151*t[63])/8 - (61*t[64])/8 - (47*t[65])/12 - 
       (517*t[66])/12 - t[73] + 9*t[75] + t[76] - t[79] - 14*t[80] + t[81] - 
       3*t[82] - 14*t[83] + (27*t[84])/4 + (3*t[85])/4 + 7*t[86] - 
       (73*t[87])/4 - (73*t[88])/8 + (41*t[89])/8 + 6*t[98] - 
       (177*t[100])/2) + G[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((-3*t[1])/2 - t[2] - (19*t[3])/2 - (29*t[4])/4 - (33*t[5])/4 + 
       (69*t[6])/8 + 10*t[7] + 12*t[8] + 19*t[9] - t[10]/8 + (125*t[11])/8 + 
       (35*t[12])/8 + (137*t[13])/24 + (757*t[14])/48 + (187*t[15])/24 - 
       t[21] + t[23] - t[24] + 2*t[25] - t[26] + 2*t[28] + t[35] + t[37] - 
       t[38] + 2*t[39] - t[40] - t[41]/2 + t[42]/2 + t[43]/2 + t[44] + 
       3*t[45] - t[46] - 7*t[47] + (41*t[48])/8 - (41*t[49])/8 - 
       (35*t[50])/8 + (25*t[51])/16 + (35*t[52])/8 + (41*t[53])/8 + 
       (41*t[54])/8 + t[59]/2 + (59*t[60])/2 + 51*t[61] + (35*t[62])/8 - 
       (205*t[63])/8 - 11*t[64] + (55*t[65])/12 - (94*t[66])/3 + t[69] + 
       2*t[73] + t[76] + t[77] + t[78] + (31*t[79])/2 - 6*t[80] + 2*t[81] - 
       t[82] - (47*t[83])/2 + (35*t[84])/4 + t[85]/4 - (15*t[86])/2 - 
       (71*t[87])/4 - (71*t[88])/8 + (15*t[89])/2 + 6*t[98] - 
       (177*t[100])/2) + HPL[{0, 1}, 1 - u]*K1[v, w, u]*
      ((-3*t[1])/4 - (19*t[2])/4 - 4*t[3] + (99*t[4])/8 - (25*t[5])/8 + 
       (63*t[6])/4 - (205*t[7])/16 - (59*t[8])/16 - (155*t[9])/16 + 
       (75*t[10])/8 - (25*t[11])/16 - (167*t[12])/16 - (1603*t[13])/288 + 
       (1943*t[14])/96 + (15*t[15])/32 - t[18] + t[19] - 2*t[21] + 2*t[23] + 
       3*t[25] - 2*t[26] - 3*t[27] - t[32] + t[33] - t[34] + t[35] - t[39] + 
       t[40] - t[41]/4 - t[42]/4 + (31*t[43])/16 - t[44]/2 + (33*t[45])/8 - 
       (7*t[46])/4 - (41*t[47])/4 + (103*t[48])/16 + (111*t[49])/16 - 
       (65*t[50])/16 + (7*t[51])/32 + (81*t[52])/16 - (111*t[53])/16 + 
       (131*t[54])/16 - t[58]/2 + t[59] + 17*t[60] + (213*t[61])/4 + 
       (95*t[62])/8 + (421*t[63])/8 - (159*t[64])/8 - (115*t[65])/3 - 
       27*t[66] + t[69] + 2*t[70] - 2*t[71] + t[72] - t[73] + t[74] + 
       3*t[75] - (9*t[76])/2 - t[77] + (13*t[78])/2 + 2*t[79] - 14*t[80] + 
       4*t[81] - 6*t[82] - (9*t[83])/2 + (23*t[84])/4 - (11*t[85])/2 - 
       (77*t[86])/2 - (21*t[87])/2 - (21*t[88])/4 - (61*t[89])/4 - 22*t[98] + 
       50*t[99] - 86*t[100]) + HPL[{0, 1}, 1 - w]*K1[w, u, v]*
      ((-3*t[1])/4 - (9*t[2])/4 - 9*t[3] + (47*t[4])/8 - (275*t[5])/16 + 
       (209*t[6])/16 + (13*t[7])/4 + (25*t[8])/4 + (279*t[9])/16 - 
       (111*t[10])/8 + (465*t[11])/16 + (85*t[12])/16 + (203*t[13])/24 + 
       (3001*t[14])/96 + (281*t[15])/96 + 3*t[25] - (7*t[26])/2 - 2*t[27] + 
       2*t[28] - t[31] - t[35] - t[36]/2 - (3*t[37])/2 - t[38]/2 + 
       (5*t[39])/2 + 2*t[40] - t[43]/2 + (3*t[45])/2 + t[46]/2 - 3*t[47] + 
       (69*t[48])/16 - 2*t[49] - (51*t[50])/16 - (11*t[51])/32 + 
       (35*t[52])/16 + t[53]/4 + (41*t[54])/16 + t[59]/4 + (291*t[60])/8 + 
       (343*t[61])/4 - (125*t[62])/8 + (89*t[63])/8 - (139*t[64])/8 - 
       (53*t[65])/8 - (793*t[66])/24 + t[70] - t[71] + 3*t[72] - 2*t[73] + 
       t[74]/2 + 5*t[75] - 5*t[76] - (3*t[77])/2 + 8*t[78] - 2*t[79] + 
       t[80] + (21*t[81])/4 - (33*t[82])/4 - (7*t[83])/2 + (93*t[84])/8 - 
       (15*t[85])/4 - 22*t[86] - 11*t[87] - t[88] - (81*t[89])/16 - t[95] - 
       t[96] + t[97]/2 - 22*t[98] + 50*t[99] - 86*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      (-t[1] + 4*t[2] - (27*t[3])/4 + (33*t[4])/2 - (47*t[5])/16 + 
       (139*t[6])/8 + (13*t[7])/4 + (31*t[8])/4 + (357*t[9])/16 - 9*t[10] + 
       19*t[11] + (39*t[12])/16 + (287*t[13])/18 + (1435*t[14])/48 + 
       (889*t[15])/288 + 4*t[20] + 4*t[21] - 6*t[22] - 4*t[23] + 2*t[24] - 
       2*t[27] + 7*t[28] + 2*t[29] - t[30]/2 + t[31] - 2*t[32] + 6*t[33] + 
       6*t[34] - 5*t[35] - t[36] - 2*t[38] + 2*t[39] - 5*t[40] + 2*t[41] - 
       2*t[42] + (3*t[43])/8 - (7*t[44])/2 - (21*t[45])/2 + 5*t[47] + 
       (19*t[48])/8 + (21*t[49])/4 - (13*t[50])/8 - (23*t[51])/8 + 
       (61*t[52])/8 - (21*t[53])/4 + (27*t[54])/8 - 2*t[57] + (3*t[59])/2 + 
       (65*t[60])/2 + (231*t[61])/4 + (13*t[62])/2 + 24*t[63] - 45*t[64] - 
       (323*t[65])/12 - (533*t[66])/12 + 2*t[72] - t[73] + t[74] + 13*t[75] + 
       4*t[76] + t[77] + 5*t[78] - 8*t[79] + 15*t[80] + 5*t[81] - t[82] + 
       4*t[83] + (7*t[84])/4 + t[85]/4 - (67*t[86])/2 - (125*t[87])/4 - 
       (125*t[88])/8 - (59*t[89])/4 + t[97] + 20*t[98] - 12*t[99] - 
       58*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      (2*t[1] + t[2]/2 + (11*t[3])/8 + (57*t[4])/8 + (125*t[5])/8 - 
       (53*t[6])/8 + (35*t[7])/4 + (21*t[8])/2 - (83*t[9])/8 + 
       (23*t[10])/16 + (117*t[11])/8 + (25*t[12])/16 - (25*t[13])/3 + 
       (479*t[14])/32 + (431*t[15])/144 + 2*t[27] - 3*t[28] + t[29]/2 - 
       t[30]/2 + t[31] + 2*t[32] - 2*t[33] - 2*t[34] + t[35] + t[36] + 
       t[38] + 3*t[39] + t[40]/4 + t[41] - t[42] + t[43]/2 - (11*t[44])/4 + 
       2*t[45] + t[46] - 3*t[47] - (3*t[48])/8 + (153*t[49])/16 - 
       (35*t[50])/8 - (229*t[51])/32 + (19*t[52])/8 - (89*t[53])/16 - 
       (15*t[54])/2 + t[59] - (55*t[60])/8 + (483*t[61])/8 - (239*t[62])/16 + 
       (167*t[63])/16 - (141*t[64])/16 - (829*t[65])/24 - (335*t[66])/24 + 
       t[73] - t[74] - t[75] + 7*t[76] - t[77] - 11*t[78] + 2*t[79] - 
       4*t[81] + 6*t[82] + 5*t[83] - (107*t[84])/8 - (103*t[85])/8 - 
       6*t[86] - (65*t[87])/8 - (65*t[88])/16 - (329*t[89])/16 + 6*t[96] + 
       4*t[97] + 20*t[98] - 12*t[99] - 58*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (-t[1]/2 - 9*t[2] - (17*t[3])/8 - 3*t[4] + (85*t[5])/16 - (11*t[6])/8 + 
       (57*t[7])/8 - (33*t[8])/8 - (129*t[9])/16 + (133*t[10])/8 - 
       (73*t[11])/8 - (9*t[12])/16 - (611*t[13])/144 + (53*t[14])/16 + 
       (93*t[15])/32 + 2*t[27] - t[30] - 4*t[35] + 2*t[39] - (3*t[43])/4 + 
       3*t[44] - t[45]/2 + t[46] + t[47] - t[48] - (9*t[49])/4 + t[50] + 
       (5*t[51])/4 - t[52] + (9*t[53])/4 + (7*t[54])/2 - t[59] - 
       (19*t[60])/4 - t[61]/4 + (37*t[62])/8 + (35*t[63])/8 - (293*t[64])/8 - 
       (173*t[65])/12 + (221*t[66])/12 - 3*t[73] - 2*t[75] + 4*t[76] + 
       t[77] - 10*t[78] + 8*t[79] - 4*t[81] + 15*t[82] - t[83] - 
       (5*t[84])/2 - 28*t[86] + 7*t[87] + (7*t[88])/2 + (25*t[89])/8 + 
       48*t[98] - 68*t[99] - 54*t[100]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*(-t[1]/2 - 6*t[2] - (61*t[3])/8 - 
       2*t[4] + (9*t[5])/16 + (23*t[6])/8 + (115*t[7])/8 + (45*t[8])/8 + 
       (159*t[9])/16 - (67*t[10])/8 + (125*t[11])/8 + (39*t[12])/16 + 
       (941*t[13])/144 + (161*t[14])/16 + (127*t[15])/96 - 2*t[29] - 
       2*t[30] - 2*t[31] + t[43]/2 - 4*t[45] - t[46] + 8*t[47] + 
       (3*t[48])/4 - t[49] + (3*t[50])/4 + (5*t[51])/4 - (3*t[52])/4 + 
       t[53] - (3*t[54])/4 - t[59] - (7*t[60])/4 + (79*t[61])/4 - 
       (237*t[62])/8 - (163*t[63])/8 + (129*t[64])/8 - (9*t[65])/4 - 
       (193*t[66])/12 - 4*t[73] + 4*t[76] - t[77] - 8*t[78] + 4*t[79] + 
       14*t[80] - 2*t[81] - t[82] + 6*t[83] + t[85] + 20*t[86] + 9*t[87] + 
       (9*t[88])/2 + (77*t[89])/8 + 48*t[98] - 68*t[99] - 54*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-3*t[1])/2 - (13*t[2])/4 + t[3]/2 - (59*t[4])/8 + (117*t[5])/8 - 
       11*t[6] - (25*t[7])/8 - (165*t[8])/8 - 2*t[9] + (77*t[10])/16 + 
       (13*t[11])/8 - (63*t[12])/16 - (53*t[13])/144 + (887*t[14])/96 + 
       (113*t[15])/48 - t[26] + 2*t[28] - t[29] - 2*t[31] - t[32] + t[33] + 
       t[34] - 2*t[35] + t[36] + 2*t[37] + t[39] + 3*t[40] - t[41]/2 + 
       t[42]/2 + (13*t[43])/8 - 2*t[44] + 2*t[45] - 3*t[46] - 5*t[47] - 
       (5*t[48])/8 + (61*t[49])/16 - (29*t[50])/8 + (53*t[51])/32 - 
       (11*t[52])/8 - (77*t[53])/16 - (5*t[54])/2 - t[58] + (3*t[59])/2 + 
       (143*t[60])/8 + (399*t[61])/8 - (169*t[62])/16 + (473*t[63])/16 - 
       (299*t[64])/16 - (385*t[65])/24 - (1051*t[66])/24 + 2*t[72] + 
       4*t[75] + 5*t[76] + 2*t[78] + 2*t[79] + 4*t[80] + 5*t[81] + t[82] + 
       15*t[83] + (27*t[84])/8 - (13*t[85])/8 - (17*t[86])/2 - 
       (163*t[87])/8 - (163*t[88])/16 - (375*t[89])/16 + t[97] + 20*t[98] - 
       12*t[99] - 52*t[100]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      Phi6[u, v, w]*((-3*t[1])/2 - (19*t[2])/4 - (67*t[3])/8 - (27*t[4])/4 + 
       (163*t[5])/16 - (19*t[6])/2 - (51*t[7])/8 - (47*t[8])/8 + 
       (21*t[9])/16 + (25*t[10])/2 + (7*t[11])/2 + (31*t[12])/16 + 
       (1037*t[13])/144 + (595*t[14])/24 + (379*t[15])/32 + 4*t[25] - 
       3*t[26] - 2*t[27] - t[28] + 2*t[30] + 2*t[31] - t[32] + t[33] + 
       t[34] + 6*t[35] - 3*t[36] - 4*t[37] - 2*t[38] - t[39] + 3*t[40] - 
       t[41]/2 + t[42]/2 + (17*t[43])/4 - t[44] + (5*t[45])/4 + (7*t[46])/2 - 
       (7*t[47])/2 - (5*t[48])/8 + (3*t[49])/8 - (53*t[50])/8 - 
       (31*t[51])/16 + (13*t[52])/8 - (7*t[53])/8 + (29*t[54])/8 - t[58] + 
       (3*t[59])/2 + 36*t[60] + (267*t[61])/4 + (143*t[62])/8 + 
       (385*t[63])/8 - (85*t[64])/2 - (181*t[65])/12 - (95*t[66])/4 - t[73] + 
       13*t[75] + 4*t[76] + 5*t[78] - 8*t[79] + 19*t[80] + (5*t[81])/2 + 
       (3*t[82])/2 - 5*t[83] + (9*t[84])/2 - (7*t[85])/4 - (71*t[86])/2 - 
       (135*t[87])/4 - (135*t[88])/8 - (63*t[89])/4 + t[97] + 20*t[98] - 
       12*t[99] - 52*t[100]) + HPL[{0, 1, 1, 1}, 1 - w]*Phi6[u, v, w]*
      ((-93*t[2])/4 - t[3]/4 - 9*t[4] - t[5]/8 + (25*t[6])/4 - (59*t[7])/2 + 
       (21*t[8])/2 - (145*t[9])/8 - (51*t[10])/4 + (9*t[11])/4 + 
       (21*t[12])/8 + (85*t[13])/12 - (61*t[14])/4 - (251*t[15])/16 + 
       4*t[19] + 3*t[21] - 3*t[23] + 3*t[24] - 12*t[31] - 8*t[35] + 
       (7*t[41])/2 - (7*t[42])/2 - 6*t[43] - 8*t[45] + 12*t[47] + 
       (49*t[48])/4 - (17*t[49])/4 - (7*t[50])/4 + (17*t[51])/8 + 
       (7*t[52])/4 + (17*t[53])/4 + (41*t[54])/4 - (73*t[60])/4 - 
       (37*t[61])/4 - (107*t[62])/8 - (253*t[63])/8 + (721*t[64])/8 + 
       (31*t[65])/6 + (57*t[66])/2 - 3*t[69] + 4*t[75] + 23*t[79] + 
       28*t[80] + (11*t[81])/2 + t[82]/2 - 22*t[83] + (5*t[84])/2 - 
       (75*t[85])/4 - 9*t[86] + (55*t[87])/4 + (55*t[88])/8 - (45*t[89])/8 - 
       12*t[99] - 49*t[100]) + HPL[{0, 1, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((-3*t[3])/4 + 8*t[4] - (19*t[5])/4 + (3*t[6])/4 + 5*t[7] + 
       (13*t[8])/2 + 7*t[9] + (3*t[10])/4 + (77*t[11])/4 + (75*t[12])/4 + 
       (217*t[13])/24 + (4*t[14])/3 - (41*t[15])/24 + 5*t[36] + (3*t[46])/2 - 
       (3*t[48])/4 - (17*t[49])/4 - (9*t[50])/4 + (9*t[52])/4 + 
       (17*t[53])/4 - (15*t[54])/4 + 23*t[60] + 5*t[61] - (191*t[62])/8 - 
       (297*t[63])/8 + 17*t[64] - (17*t[65])/6 - (271*t[66])/6 + 12*t[73] - 
       16*t[75] + 5*t[79] + (3*t[81])/2 - (3*t[82])/2 - 9*t[83] + 
       (33*t[84])/4 + 9*t[85] + 17*t[86] - (37*t[87])/2 - (37*t[88])/4 - 
       4*t[89] - 12*t[99] - 49*t[100]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*((3*t[1])/4 + (39*t[2])/8 + t[3]/2 + 
       (227*t[4])/16 - (203*t[5])/16 + 8*t[6] - (17*t[7])/8 + (53*t[8])/4 + 
       (145*t[9])/16 - (349*t[10])/32 + (61*t[11])/8 - (103*t[12])/32 + 
       (37*t[13])/36 + (3271*t[14])/192 - (69*t[15])/16 + t[25] - 2*t[26] - 
       2*t[27] + 2*t[28] + t[29] - t[30] - t[32]/2 + t[33]/2 + 2*t[35] + 
       t[36]/2 + t[38] + t[39]/2 + t[40]/2 - (5*t[43])/4 - t[44] + 
       (5*t[45])/8 - (7*t[46])/4 - (7*t[47])/4 + (19*t[48])/8 + 
       (201*t[49])/32 - (45*t[50])/8 - (127*t[51])/64 + (45*t[52])/8 - 
       (185*t[53])/32 + (61*t[54])/16 - t[59]/2 + (343*t[60])/16 + 
       (453*t[61])/16 - (225*t[62])/32 + (105*t[63])/32 - (151*t[64])/32 - 
       (271*t[65])/48 - (411*t[66])/16 + t[72] + t[73] + 2*t[75] + t[76] + 
       t[77]/2 + 3*t[78] - 4*t[79] - (5*t[80])/2 + (7*t[81])/2 - 11*t[82] - 
       (17*t[83])/2 + (77*t[84])/16 + (73*t[85])/16 + (43*t[86])/4 - 
       (257*t[87])/16 - (257*t[88])/32 - (243*t[89])/32 + 14*t[98] + 
       10*t[99] - 49*t[100]) + H1[u, v, w]*HPL[{0, 1}, 1 - v]*
      ((-3*t[1])/4 + 2*t[2] - (17*t[3])/8 - t[4]/4 + (45*t[6])/8 + 
       (11*t[7])/4 + (39*t[8])/4 + (21*t[9])/4 - 11*t[10] + (11*t[11])/4 + 
       (3*t[12])/2 + (937*t[13])/144 + (265*t[14])/24 + (193*t[15])/48 + 
       t[19]/2 + t[21]/2 - t[23]/2 + t[25] - (3*t[26])/2 - t[27] + 
       (5*t[28])/2 + (3*t[31])/2 - (7*t[35])/2 - (5*t[37])/2 + (3*t[38])/2 + 
       (5*t[39])/2 - t[40]/2 - t[46]/2 - t[47]/2 + (21*t[48])/4 + t[49]/4 - 
       2*t[50] + t[51]/8 + 2*t[52] - t[53]/4 + (9*t[54])/4 - (3*t[59])/2 + 
       (9*t[60])/4 + (121*t[61])/4 - (49*t[62])/8 + (109*t[63])/8 + 
       (97*t[64])/8 + (17*t[65])/2 - (74*t[66])/3 - t[69]/2 + (3*t[70])/2 - 
       (3*t[71])/2 + t[72] - t[74] + t[75] + t[77]/2 + t[78] + t[79] + 
       3*t[80] - t[82]/2 - (39*t[83])/4 + (9*t[84])/2 - (13*t[85])/4 - 
       9*t[86] - (15*t[87])/4 - (15*t[88])/8 - (9*t[89])/8 + 2*t[99] - 
       47*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w]*(t[1]/4 + (5*t[2])/2 - (9*t[3])/8 - (9*t[4])/8 - 
       (71*t[5])/16 + (129*t[6])/16 + (11*t[7])/4 + (17*t[8])/2 + 
       (101*t[9])/16 - (141*t[10])/8 - (11*t[11])/8 - (57*t[12])/16 - 
       (141*t[13])/32 + (37*t[14])/3 + (83*t[15])/96 + t[25] - t[26] - 
       2*t[27] + t[28] + t[30] + t[39] - t[41]/4 + t[42]/4 + (7*t[43])/4 + 
       (5*t[45])/2 - (7*t[46])/2 - 5*t[47] + (33*t[48])/8 + (25*t[49])/8 - 
       (39*t[50])/8 - (7*t[51])/16 + (39*t[52])/8 - (25*t[53])/8 + 
       (29*t[54])/8 + (3*t[59])/4 + (169*t[60])/8 + (303*t[61])/8 - 
       (151*t[62])/16 + (147*t[63])/16 - (175*t[64])/16 - (15*t[65])/4 - 
       (88*t[66])/3 + 2*t[73] - t[77] + (7*t[78])/2 + t[79] - 2*t[80] + 
       3*t[81] - 3*t[82] - (3*t[83])/2 + (23*t[84])/4 + 5*t[86] - 14*t[87] - 
       7*t[88] - (111*t[89])/16 - 8*t[98] + 16*t[99] - 47*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((5*t[1])/4 + 3*t[2] - (111*t[3])/16 + (137*t[4])/16 - (533*t[5])/32 + 
       (77*t[6])/16 + (23*t[7])/16 + (57*t[8])/16 + (761*t[9])/32 - 
       (311*t[10])/32 + (255*t[11])/16 + (5*t[12])/2 + (1717*t[13])/288 + 
       (4547*t[14])/192 + (37*t[15])/64 + t[25] - t[26] - 2*t[27] + t[28] + 
       t[30] + 2*t[35] - t[36] - 2*t[37] + t[39] + (7*t[43])/8 + t[45]/4 + 
       t[46]/2 - t[47]/2 + (21*t[48])/8 + (5*t[49])/32 - (27*t[50])/8 - 
       (145*t[51])/64 + (27*t[52])/8 - (5*t[53])/32 + (9*t[54])/16 + t[59] + 
       (627*t[60])/16 + (975*t[61])/16 - (49*t[62])/32 + (113*t[63])/32 - 
       (961*t[64])/32 - (317*t[65])/48 - (1763*t[66])/48 + 9*t[75] + 
       t[77]/2 + (15*t[78])/2 - 13*t[79] + 6*t[81] - (25*t[82])/2 - 
       14*t[83] + (145*t[84])/16 - (7*t[85])/16 - 11*t[86] - (383*t[87])/16 - 
       (383*t[88])/32 - (115*t[89])/32 - 8*t[98] + 16*t[99] - 47*t[100]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*(t[1] - (3*t[2])/4 - 
       4*t[3] + (13*t[4])/8 - (11*t[5])/2 + (37*t[6])/8 + (33*t[7])/4 + 
       (23*t[8])/4 + 12*t[9] - (3*t[10])/2 + (23*t[11])/4 - (39*t[12])/8 - 
       (25*t[13])/12 + (1723*t[14])/96 - (21*t[15])/8 - t[26] - t[27] + 
       t[28] + t[38] + t[39] + t[43] + t[45] - 3*t[46] - 2*t[47] + 
       (15*t[48])/8 + (33*t[49])/8 - (21*t[50])/8 - (37*t[51])/32 + 
       (21*t[52])/8 - (39*t[53])/8 - (7*t[54])/4 + (105*t[60])/4 + 
       (351*t[61])/8 - (503*t[62])/16 - (21*t[63])/16 + (185*t[64])/16 - 
       (275*t[65])/24 - (961*t[66])/24 + t[69] + t[73] - 2*t[75] - t[77] + 
       (7*t[78])/2 + 2*t[79] - 3*t[80] + (3*t[81])/2 - 2*t[82] + 
       (17*t[83])/2 + (63*t[84])/8 + (35*t[85])/8 + 12*t[86] - (93*t[87])/8 - 
       (93*t[88])/16 - (5*t[89])/2 - 2*t[98] - 2*t[99] - 46*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-11*t[2])/2 - (25*t[3])/4 + (13*t[4])/4 - (39*t[5])/4 + 
       (155*t[6])/16 - (165*t[7])/16 - (3*t[8])/16 + (115*t[9])/16 - 
       (341*t[10])/16 + (11*t[11])/4 + (9*t[12])/8 - (731*t[13])/288 + 
       (569*t[14])/48 - (251*t[15])/96 + t[19] + t[21] - t[23] + t[24] + 
       t[25] - t[26] - t[27] + t[28] + t[31] - t[35] - t[36] - t[37] + 
       t[39] + (3*t[41])/2 - (3*t[42])/2 + (3*t[43])/16 - (19*t[45])/8 + 
       t[46] + (7*t[47])/4 + (43*t[48])/8 - (27*t[49])/8 - (53*t[50])/8 - 
       (5*t[51])/16 + (53*t[52])/8 + (27*t[53])/8 + (75*t[54])/8 + t[59]/2 + 
       25*t[60] + (147*t[61])/4 + (71*t[62])/2 + (15*t[63])/2 - 
       (69*t[64])/8 - (151*t[65])/12 + (19*t[66])/2 - t[73] + 2*t[74] + 
       10*t[75] + t[77] + (11*t[78])/2 - 5*t[79] - 2*t[80] + 2*t[81] + 
       (3*t[82])/2 - (43*t[83])/2 + (13*t[84])/2 - (5*t[85])/4 - 
       (107*t[86])/2 - (57*t[87])/4 - (57*t[88])/8 + 2*t[89] - 2*t[98] - 
       2*t[99] - 46*t[100]) + HPL[{0, 0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (-2*t[1] - (65*t[2])/2 - (27*t[3])/2 - 10*t[4] + (25*t[5])/2 + 
       (53*t[6])/4 - (227*t[7])/8 + (143*t[8])/8 - (237*t[9])/8 + 
       (361*t[10])/8 - (161*t[11])/8 + (21*t[12])/4 - (1555*t[13])/144 + 
       (11*t[14])/6 + t[15]/48 + 4*t[19] - 4*t[21] + 4*t[23] - 3*t[24] + 
       t[26] - 6*t[31] - 4*t[35] + 4*t[37] + t[38] + 3*t[41] - 3*t[42] + 
       (29*t[43])/8 + (3*t[45])/4 - t[47]/2 + (91*t[48])/8 - (17*t[49])/4 - 
       (25*t[50])/8 + (21*t[51])/8 + (25*t[52])/8 + (17*t[53])/4 + 
       (133*t[54])/8 + t[59] - (39*t[60])/4 + (23*t[61])/4 + (371*t[62])/8 + 
       (309*t[63])/8 + (669*t[64])/8 - (59*t[65])/3 + (185*t[66])/6 + 
       7*t[69] - t[70] + t[71] - t[74] + 10*t[75] + t[78] + 30*t[79] + 
       2*t[80] + (3*t[81])/2 + (27*t[82])/2 - 31*t[83] + (9*t[84])/2 - 
       (71*t[85])/4 - 61*t[86] + (23*t[87])/4 + (23*t[88])/8 - (31*t[89])/8 - 
       26*t[99] - 38*t[100]) + HPL[{0, 0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      ((7*t[1])/2 + (3*t[2])/2 - (19*t[3])/4 + (97*t[4])/4 + (9*t[5])/4 + 
       (41*t[6])/8 + 7*t[7] + (41*t[8])/2 + (21*t[9])/2 - t[10]/2 + 
       (223*t[11])/8 - 3*t[12] + (1591*t[13])/72 + (559*t[14])/48 - 
       (61*t[15])/24 + 8*t[25] - 11*t[26] + t[28] + t[31] + t[35] + t[36] + 
       t[37] + 3*t[38] + t[39] + t[40] - t[45] + 2*t[46] + 2*t[47] + 
       (45*t[48])/8 - (17*t[49])/4 - (23*t[50])/8 + (13*t[51])/16 + 
       (23*t[52])/8 + (11*t[53])/4 - (47*t[54])/8 - 2*t[59] + (147*t[60])/4 + 
       30*t[61] - 33*t[62] - (21*t[63])/2 + (291*t[64])/4 - (23*t[65])/6 - 
       60*t[66] + 3*t[69] - t[70] + t[71] + 4*t[73] + 9*t[75] - t[77] + 
       t[78] + 5*t[79] - (7*t[83])/2 + 11*t[84] + 6*t[85] + 15*t[86] - 
       9*t[87] - (5*t[88])/2 + (21*t[89])/8 + 2*t[95] - 26*t[99] - 
       38*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*((-5*t[1])/4 + (11*t[2])/4 - (7*t[3])/2 + (59*t[4])/8 + 
       (37*t[5])/8 + (21*t[6])/2 - (177*t[7])/16 + (177*t[8])/16 - 
       (31*t[9])/16 + (43*t[10])/8 + (11*t[11])/16 + (45*t[12])/16 - 
       (7*t[13])/32 + (441*t[14])/32 + (187*t[15])/32 - t[18] + 2*t[20] + 
       t[21] - t[23] + t[25] - t[26] + 3*t[28] + 2*t[31] + 2*t[33] - t[34] - 
       2*t[35] + t[39] - t[40] + (3*t[41])/4 - (5*t[42])/4 + (31*t[43])/16 - 
       t[44]/2 + t[45]/8 + t[46]/4 - (17*t[47])/4 + (71*t[48])/16 - 
       (49*t[49])/16 - (105*t[50])/16 - (13*t[51])/32 + (153*t[52])/16 + 
       (49*t[53])/16 + (115*t[54])/16 - t[58]/2 + t[59]/2 + 19*t[60] + 
       (121*t[61])/4 + (235*t[62])/8 + (137*t[63])/8 - (251*t[64])/8 - 
       21*t[65] + (19*t[66])/6 + 2*t[70] - 2*t[71] - t[72] - t[73] + t[74] + 
       6*t[75] - (5*t[76])/2 + t[77] + (11*t[78])/2 - 7*t[79] - 3*t[80] - 
       t[81]/2 - t[82]/2 - (33*t[83])/2 + (17*t[84])/4 - (3*t[85])/2 - 
       (75*t[86])/2 - (25*t[87])/2 - (25*t[88])/4 - 5*t[89] - 14*t[98] + 
       10*t[99] - 35*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*((3*t[1])/4 + 3*t[2] + (3*t[3])/4 - 
       (61*t[4])/8 + (79*t[5])/16 + (27*t[6])/16 + (27*t[7])/4 + 
       (57*t[8])/4 - (55*t[9])/16 - (105*t[10])/8 + (59*t[11])/16 - 
       (65*t[12])/16 + (19*t[13])/8 + (43*t[14])/32 + (155*t[15])/96 + 
       t[25] - (3*t[26])/2 + t[27] - t[28] - 2*t[31] - 4*t[35] - t[36]/2 - 
       (3*t[37])/2 + t[38]/2 - t[39]/2 + t[40] + t[43]/2 + t[44] + t[45]/2 - 
       t[47] + (23*t[48])/16 - (9*t[49])/4 - (49*t[50])/16 - (35*t[51])/32 + 
       (33*t[52])/16 - t[53]/2 + (39*t[54])/16 - t[59]/4 + (91*t[60])/8 + 
       (69*t[61])/4 - (119*t[62])/8 - (169*t[63])/8 + (17*t[64])/8 + 
       (31*t[65])/8 - (83*t[66])/8 + t[70] - t[71] + 2*t[72] + 2*t[73] + 
       (3*t[74])/2 - 5*t[75] - t[76] - t[77]/2 + 3*t[78] + t[79]/2 + 
       2*t[80] - (9*t[81])/4 + (17*t[82])/4 + (5*t[83])/2 + (25*t[84])/8 - 
       (5*t[85])/4 + (23*t[86])/2 - (7*t[87])/2 + (11*t[88])/4 - 
       (57*t[89])/16 - t[95] - t[96] + t[97]/2 - 14*t[98] + 10*t[99] - 
       35*t[100]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - u]*
      ((-3*t[1])/2 - (5*t[2])/2 + (7*t[3])/2 + (53*t[4])/8 + (5*t[5])/4 - 
       7*t[6] - (5*t[7])/2 - 21*t[8] + (17*t[9])/4 + (197*t[10])/16 - 
       (23*t[11])/2 - (163*t[12])/16 - (305*t[13])/36 + (291*t[14])/32 + 
       (143*t[15])/48 - t[26] + 4*t[28] + 2*t[30] + t[34] - 4*t[35] + 
       2*t[36] + 2*t[37] + 2*t[39] + 2*t[40] - t[41]/2 + t[42]/2 - 2*t[43] - 
       2*t[44] + (13*t[45])/2 - 2*t[46] - 13*t[47] - (21*t[48])/4 + 
       (15*t[49])/16 - (5*t[50])/4 + (67*t[51])/32 - (15*t[52])/4 - 
       (31*t[53])/16 - (9*t[54])/8 - t[58] + (3*t[59])/2 + (279*t[60])/8 + 
       (371*t[61])/8 - (71*t[62])/16 + (191*t[63])/16 - (773*t[64])/16 - 
       (155*t[65])/8 - (121*t[66])/8 + 2*t[72] + 2*t[73] + 2*t[75] + t[76] - 
       2*t[77] + 10*t[78] - 2*t[79] - 14*t[80] + 5*t[81] - 8*t[82] + 
       11*t[83] + (31*t[84])/8 - (41*t[85])/8 + 3*t[86] - (223*t[87])/8 - 
       (223*t[88])/16 - (367*t[89])/16 + t[97] - 28*t[98] + 48*t[99] - 
       34*t[100]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - w]*
      ((-3*t[1])/2 - (25*t[2])/4 - (43*t[3])/8 + (3*t[4])/2 + (69*t[5])/16 - 
       (53*t[6])/8 - (91*t[7])/8 - (63*t[8])/8 - (21*t[9])/16 + (9*t[10])/8 + 
       (25*t[11])/8 - (145*t[12])/16 - (587*t[13])/144 + (41*t[14])/16 + 
       (381*t[15])/32 + 4*t[25] - 3*t[26] - 2*t[27] + 2*t[29] + 4*t[30] - 
       t[32] + t[33] + t[34] - 2*t[35] - 3*t[36] - 4*t[37] - 2*t[38] - 
       t[39] + 3*t[40] - t[41]/2 + t[42]/2 + (9*t[43])/4 - 4*t[44] + 
       (13*t[45])/4 + (5*t[46])/2 - (15*t[47])/2 - t[48]/4 + (9*t[49])/2 - 
       (21*t[50])/4 - (9*t[51])/4 + t[52]/4 - (7*t[53])/2 - (41*t[54])/4 - 
       t[58] + (3*t[59])/2 + (71*t[60])/2 + (215*t[61])/4 + (305*t[62])/8 + 
       (311*t[63])/8 - (387*t[64])/8 - (215*t[65])/12 + (29*t[66])/12 - 
       3*t[73] + 16*t[75] - 3*t[76] - 2*t[77] + 16*t[78] - 6*t[79] + 
       11*t[80] + 3*t[81] + 5*t[82] + t[83] + t[84]/2 + t[85] - 
       (87*t[86])/2 - 17*t[87] - (17*t[88])/2 - (53*t[89])/4 + t[97] - 
       28*t[98] + 48*t[99] - 34*t[100]) + F1[w, u, v]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((-3*t[1])/4 - (9*t[2])/8 - (29*t[3])/8 + 
       (69*t[4])/8 - (89*t[5])/16 + (49*t[6])/8 - (9*t[7])/4 + (3*t[8])/4 + 
       (111*t[9])/16 - (131*t[10])/16 + (9*t[11])/2 + (7*t[12])/4 + 
       (217*t[13])/36 + (1177*t[14])/96 + (73*t[15])/96 + t[28] - t[37]/2 + 
       t[39] - t[40] + t[43]/2 - t[44] + t[45] + 2*t[46] - 2*t[47] - 
       (9*t[48])/8 + (3*t[49])/16 - (21*t[50])/8 - (27*t[51])/32 + 
       (21*t[52])/8 - (3*t[53])/16 + (11*t[54])/4 + t[59]/4 + (57*t[60])/4 + 
       24*t[61] + (65*t[62])/8 + (63*t[63])/8 - (257*t[64])/8 - 
       (89*t[65])/8 - (83*t[66])/3 + t[73]/2 - t[74] + t[75]/2 + t[76]/2 + 
       t[77] - (23*t[79])/4 - (3*t[80])/2 + (11*t[81])/4 - (11*t[82])/4 - 
       3*t[83] + (5*t[84])/2 + (21*t[85])/8 - (59*t[86])/4 - (93*t[87])/8 - 
       (93*t[88])/16 - (35*t[89])/8 + 3*t[98] - (135*t[100])/4) + 
     F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*((-3*t[3])/2 - t[4]/2 - 
       (99*t[5])/16 - t[6]/2 + (7*t[7])/8 + (31*t[8])/8 + (123*t[9])/16 + 
       (119*t[10])/8 + (3*t[11])/8 - (33*t[12])/16 - (59*t[13])/36 + 
       (469*t[14])/48 - (235*t[15])/96 + t[25] - 3*t[26] - (3*t[28])/2 - 
       t[31]/2 + t[37] - t[39] + t[40]/2 - 3*t[46] + (15*t[49])/4 - 3*t[50] + 
       (7*t[51])/8 + 3*t[52] - (15*t[53])/4 + 3*t[54] + (11*t[60])/2 + 
       (65*t[61])/4 - (29*t[62])/8 + (73*t[63])/8 - (81*t[64])/8 - 
       (91*t[65])/12 - (223*t[66])/12 + t[72]/2 + t[73]/2 - t[74] - 
       (7*t[75])/2 + t[76]/2 - t[77]/2 - t[78] + (11*t[79])/2 + 2*t[80] + 
       2*t[81] - 3*t[82] + 7*t[83] + (3*t[84])/2 + 3*t[85] - (5*t[86])/2 - 
       (11*t[87])/2 - (11*t[88])/4 - (27*t[89])/8 + 3*t[98] - 
       (135*t[100])/4) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (-t[1]/2 - (31*t[2])/2 - (23*t[3])/4 + (13*t[4])/4 - (41*t[5])/4 + 
       (103*t[6])/16 - (55*t[7])/16 + (159*t[8])/16 + (49*t[9])/16 + 
       (173*t[10])/16 + (77*t[11])/8 + (53*t[12])/8 + (1991*t[13])/288 + 
       (49*t[14])/48 - (299*t[15])/32 + 2*t[19] - 2*t[21] + 2*t[23] - 
       2*t[24] - 2*t[31] + 2*t[35] + t[41]/2 - t[42]/2 - (3*t[43])/16 - 
       t[44] - (5*t[45])/8 - (3*t[46])/2 + (37*t[47])/4 + (11*t[48])/4 - 
       (11*t[49])/8 - (9*t[50])/4 + (33*t[51])/16 + (9*t[52])/4 + 
       (11*t[53])/8 + (15*t[54])/2 + (9*t[60])/2 + (135*t[61])/4 - 
       (131*t[62])/8 + (27*t[63])/8 + (241*t[64])/8 + (9*t[65])/4 - 
       (263*t[66])/12 + 2*t[69] - 3*t[74] + 3*t[75] + 12*t[79] + t[80] + 
       2*t[81] + 4*t[82] - 10*t[83] + (5*t[84])/2 - (9*t[85])/2 - 
       (7*t[86])/2 - t[87]/2 - t[88]/4 - t[89]/4 - 12*t[99] - 33*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      (t[1] - t[3]/4 - (45*t[4])/8 - (27*t[5])/8 - (3*t[6])/2 + 4*t[7] + 
       (13*t[8])/2 + (21*t[9])/8 - 9*t[10] + (39*t[11])/8 + (9*t[12])/2 + 
       (203*t[13])/72 + (59*t[14])/32 + (7*t[15])/48 + 2*t[25] - 3*t[26] - 
       t[28] - t[31] + t[35] + 3*t[36] + t[38] - t[39] + t[40] - t[45] - 
       t[46] + 2*t[47] + t[48] - (11*t[49])/8 - t[50]/2 + (57*t[51])/32 + 
       t[52]/2 + (17*t[53])/8 + (23*t[54])/8 - t[59]/2 - (31*t[60])/2 + 
       (111*t[61])/8 - (139*t[62])/16 + (167*t[63])/16 + (533*t[64])/16 + 
       (109*t[65])/8 - (253*t[66])/24 + 2*t[73] - 2*t[74] + t[75] - t[77] - 
       t[78] + 2*t[79] + t[80] - t[81]/2 + t[82]/2 - (25*t[84])/8 - 
       (23*t[85])/8 + 18*t[86] + (89*t[87])/8 + (73*t[88])/16 - 
       (53*t[89])/8 + 2*t[95] - 12*t[99] - 33*t[100]) + 
     HPL[{0, 0, 1, 1}, 1 - w]*Phi6[u, v, w]*(-t[1] - (11*t[2])/4 + 
       (7*t[3])/4 - (81*t[4])/8 - (15*t[5])/4 + 15*t[6] + (39*t[7])/2 + 
       (63*t[8])/4 - (17*t[9])/2 - (61*t[10])/16 - (41*t[11])/4 + 
       (259*t[12])/16 - (137*t[13])/24 + (285*t[14])/32 - (77*t[15])/16 - 
       4*t[25] + 5*t[26] + 4*t[27] - 2*t[29] - 8*t[30] + 2*t[31] + t[32] - 
       t[33] - t[34] - 2*t[35] + 5*t[36] + 4*t[37] + 3*t[39] - 3*t[40] + 
       t[41]/2 - t[42]/2 - 2*t[43] + 6*t[44] - (15*t[45])/4 - (5*t[46])/2 + 
       (17*t[47])/2 - (3*t[48])/2 - (179*t[49])/16 + (7*t[50])/2 + 
       (117*t[51])/32 + (3*t[52])/2 + (163*t[53])/16 + (187*t[54])/8 + 
       t[58] - (3*t[59])/2 - (381*t[60])/8 - (247*t[61])/8 - (373*t[62])/16 - 
       (355*t[63])/16 + (37*t[64])/16 + (157*t[65])/24 + (217*t[66])/8 + 
       2*t[72] - 18*t[75] + 7*t[76] + 3*t[77] - 26*t[78] + 18*t[79] - 
       11*t[80] - 10*t[81] + 13*t[82] - 9*t[83] - (11*t[84])/8 + t[85]/8 + 
       (7*t[86])/2 + (159*t[87])/8 + (159*t[88])/16 + (209*t[89])/16 - 
       t[97] + 76*t[98] - 120*t[99] - 32*t[100]) + HPL[{0, 0, 1, 1}, 1 - u]*
      Phi6[u, v, w]*(2*t[1] - (11*t[2])/4 - (27*t[3])/4 - (53*t[4])/8 - 
       (17*t[5])/4 + (13*t[6])/2 + (45*t[7])/2 + (59*t[8])/4 + (25*t[9])/2 - 
       (473*t[10])/16 + (135*t[11])/4 + (191*t[12])/16 + (421*t[13])/24 - 
       (151*t[14])/32 - (319*t[15])/48 + t[26] - 4*t[28] - 2*t[29] - 
       4*t[30] - 2*t[31] + t[32] - t[33] - t[34] + 2*t[35] - t[36] - 
       2*t[37] - t[39] - 3*t[40] + t[41]/2 - t[42]/2 + (5*t[43])/2 + 
       2*t[44] - (47*t[45])/4 + t[46]/2 + (49*t[47])/2 + (7*t[48])/2 - 
       (71*t[49])/16 + (9*t[50])/2 + (17*t[51])/32 + t[52]/2 + 
       (87*t[53])/16 - (17*t[54])/8 + t[58] - (3*t[59])/2 - (325*t[60])/8 - 
       (95*t[61])/8 - (473*t[62])/16 - (447*t[63])/16 + (1133*t[64])/16 + 
       (151*t[65])/8 - (349*t[66])/24 - 2*t[72] - 6*t[73] - 2*t[75] + 
       3*t[76] + 3*t[77] - 18*t[78] + 6*t[79] + 33*t[80] - 7*t[81] + 
       6*t[82] - 3*t[83] - (31*t[84])/8 + (49*t[85])/8 + (27*t[86])/2 + 
       (311*t[87])/8 + (311*t[88])/16 + (489*t[89])/16 - t[97] + 76*t[98] - 
       120*t[99] - 32*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w]*(-t[1]/2 - (3*t[2])/4 - (45*t[3])/8 + 
       (7*t[4])/2 - (61*t[5])/16 + (45*t[6])/8 + (41*t[7])/8 + (81*t[8])/8 + 
       (183*t[9])/16 - (63*t[10])/4 + (33*t[11])/4 + (61*t[12])/16 + 
       (197*t[13])/144 + (223*t[14])/16 + (89*t[15])/32 - t[24] + t[28] + 
       t[39] + t[46] + (23*t[48])/8 - (17*t[49])/8 - (11*t[50])/8 - t[51]/8 + 
       (11*t[52])/8 + (17*t[53])/8 + (11*t[54])/8 + 13*t[60] + 
       (111*t[61])/4 - (17*t[62])/8 - (3*t[63])/4 - (187*t[64])/8 - 
       (29*t[65])/24 - (229*t[66])/24 - 2*t[73] - t[74] + 8*t[75] + 3*t[78] - 
       t[79] - t[80] + t[81] - t[82] - 10*t[83] + (27*t[84])/8 - 
       (3*t[85])/2 - 3*t[86] - (27*t[87])/4 - (27*t[88])/8 - (19*t[89])/8 - 
       2*t[98] + 5*t[99] - (61*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*Phi6[u, v, w]*((43*t[2])/8 - (5*t[3])/4 - 
       (67*t[4])/8 + (65*t[5])/8 + (5*t[6])/2 + (33*t[7])/4 + (35*t[8])/4 + 
       (25*t[9])/8 - (135*t[10])/16 + (9*t[11])/4 + (7*t[12])/16 + 
       (397*t[13])/144 - (15*t[14])/32 + t[15]/24 - t[23]/2 - t[24]/2 - 
       t[35]/2 + t[37] + t[41]/4 - t[42]/4 + (3*t[43])/4 + t[44] - t[45] - 
       t[46]/2 + 3*t[47] + (9*t[48])/4 - t[49]/16 - t[50] + (21*t[51])/32 + 
       t[52] + t[53]/16 + (5*t[54])/8 - t[59] + (49*t[60])/8 + 
       (149*t[61])/8 - (19*t[62])/2 - (135*t[63])/8 + (99*t[64])/16 + 
       (131*t[65])/24 - (131*t[66])/12 - (3*t[69])/2 + t[70] - t[71] + 
       t[73] + t[74]/2 + 2*t[75] + t[76] + 2*t[78] + 4*t[79] + 6*t[80] + 
       t[81]/2 - (15*t[83])/4 + (19*t[84])/8 - (3*t[85])/4 + 19*t[86] - 
       3*t[87] - (3*t[88])/2 - (17*t[89])/16 - 2*t[98] + 5*t[99] - 
       (61*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((-3*t[1])/4 + (17*t[2])/8 - (3*t[3])/8 - (101*t[4])/16 - 
       (49*t[5])/16 + (11*t[6])/16 + (35*t[7])/8 + (23*t[8])/8 + 
       (77*t[9])/16 - (347*t[10])/32 + (133*t[11])/16 + (59*t[12])/32 + 
       (19*t[13])/16 + (369*t[14])/64 + (77*t[15])/48 - t[19]/2 - t[21]/2 + 
       t[23]/2 - t[26]/2 - t[28] - (3*t[31])/2 + t[35] + (3*t[36])/2 - 
       t[37]/2 - t[38]/2 - t[39] + t[40] - t[41]/2 + t[42]/2 + t[45]/2 - 
       (5*t[46])/4 - (3*t[47])/2 - (7*t[48])/16 + (19*t[49])/32 + 
       (17*t[50])/16 + (29*t[51])/64 - (17*t[52])/16 - (19*t[53])/32 - 
       (3*t[54])/4 + t[59]/2 + (41*t[60])/16 + (241*t[61])/16 - 
       (407*t[62])/32 + (87*t[63])/32 - (47*t[64])/32 - (95*t[65])/48 - 
       (75*t[66])/16 + t[69]/2 + t[70]/2 - t[71]/2 - (3*t[74])/2 - 
       (5*t[75])/2 - t[77] - (3*t[78])/2 - (3*t[79])/2 - t[81] - t[82] + 
       4*t[83] - (7*t[84])/16 - (15*t[85])/16 + (27*t[86])/2 + 
       (37*t[87])/16 + (37*t[88])/32 - (193*t[89])/32 + t[99] - 28*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (-t[1]/4 - (33*t[2])/8 - (43*t[3])/16 + (19*t[4])/2 - (271*t[5])/32 + 
       (23*t[6])/16 - (79*t[7])/16 + (3*t[8])/16 + (211*t[9])/32 + 
       (9*t[10])/4 + (45*t[11])/8 + (73*t[12])/32 + (355*t[13])/72 + 
       (85*t[14])/24 - (821*t[15])/192 + t[19]/2 - t[21]/2 + t[23]/2 - 
       t[24]/2 + t[25] - t[26]/2 - t[28]/2 - 2*t[31] + t[35]/2 - t[37]/2 - 
       t[38]/2 - t[39]/2 - t[40]/2 + t[41]/4 - t[42]/4 - (9*t[43])/8 - 
       t[44] - t[45]/4 - t[46] + (5*t[47])/2 + (29*t[48])/16 - t[49]/16 - 
       (11*t[50])/16 + (9*t[51])/32 + (11*t[52])/16 + t[53]/16 + 
       (9*t[54])/16 + (3*t[59])/4 + (19*t[60])/2 + (33*t[61])/2 + 
       (33*t[62])/8 + (29*t[63])/8 - (95*t[64])/8 - (8*t[65])/3 - 
       (27*t[66])/2 + t[69]/2 + t[70]/2 - t[71]/2 - t[74] + t[75]/2 + t[77] - 
       t[78]/2 + t[79]/2 - 6*t[80] + (3*t[81])/4 - (3*t[82])/4 - 
       (11*t[83])/2 + (15*t[84])/8 - (5*t[85])/4 - (29*t[86])/2 - 4*t[87] - 
       2*t[88] - (3*t[89])/8 + t[99] - 28*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(t[1]/2 + (27*t[2])/4 - 
       (17*t[3])/16 + (37*t[4])/8 - (171*t[5])/32 + (15*t[6])/16 + 
       (29*t[7])/8 - (47*t[8])/8 + (333*t[9])/32 - (183*t[10])/8 - 
       (7*t[11])/16 - (177*t[12])/32 - (155*t[13])/32 + (1255*t[14])/96 + 
       (665*t[15])/192 - t[19] + t[21] - t[23] + t[24] + t[25] - t[26] - 
       t[27] + t[28] + t[31] - 3*t[35] + t[39] - t[41]/4 + t[42]/4 + 
       (5*t[43])/16 + (15*t[45])/8 - (5*t[46])/2 - (35*t[47])/4 - 
       (7*t[48])/8 + (11*t[49])/4 - (7*t[50])/8 - (5*t[51])/2 + (7*t[52])/8 - 
       (11*t[53])/4 - (29*t[54])/8 + (3*t[59])/4 + (77*t[60])/4 + 21*t[61] + 
       (35*t[62])/8 + (21*t[63])/8 - (185*t[64])/4 - (141*t[65])/8 - 
       (141*t[66])/8 - t[69] + t[73] + 2*t[74] - 3*t[75] - t[77]/2 + 
       (7*t[78])/2 - 7*t[79] - 11*t[80] + t[81]/2 - 5*t[82] + 7*t[83] + 
       (5*t[84])/2 + (9*t[85])/2 - (19*t[86])/2 - 13*t[87] - (13*t[88])/2 - 
       (49*t[89])/8 - 2*t[98] + 14*t[99] - 27*t[100]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-3*t[2])/2 - (21*t[3])/4 + (81*t[4])/16 - 9*t[5] + (29*t[6])/8 + 
       t[7]/4 - (11*t[8])/4 + (59*t[9])/4 + (45*t[10])/32 + (29*t[11])/4 - 
       (99*t[12])/32 - (53*t[13])/144 + (3241*t[14])/192 - (19*t[15])/96 - 
       t[25] + 2*t[26] - t[27] + t[28] - 3*t[36] - 2*t[37] - t[38] + t[39] + 
       t[43]/2 + (3*t[46])/2 + (13*t[48])/8 + (43*t[49])/32 - (23*t[50])/8 - 
       (13*t[51])/64 + (23*t[52])/8 - (67*t[53])/32 + (29*t[54])/16 + t[59] + 
       (555*t[60])/16 + (681*t[61])/16 + (133*t[62])/32 - (109*t[63])/32 - 
       (1515*t[64])/32 - (249*t[65])/16 - (769*t[66])/48 - 3*t[73] + t[74] + 
       7*t[75] + t[77] + (11*t[78])/2 - 9*t[79] + t[80] + (3*t[81])/2 - 
       (5*t[82])/2 - 2*t[83] + (117*t[84])/16 + (33*t[85])/16 - 29*t[86] - 
       (323*t[87])/16 - (291*t[88])/32 + (37*t[89])/32 - 2*t[95] - 2*t[98] + 
       14*t[99] - 27*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*(t[1]/2 + (29*t[2])/8 - (19*t[3])/8 - (47*t[4])/16 - 
       (23*t[5])/8 - (65*t[6])/8 - (3*t[7])/4 - (75*t[8])/8 + (3*t[9])/4 - 
       (251*t[10])/32 + (29*t[11])/2 - (51*t[12])/32 + (751*t[13])/144 + 
       (499*t[14])/64 + (143*t[15])/96 - 2*t[25] + (3*t[26])/2 - t[27] - 
       t[28] - t[29] + 2*t[30] - t[32]/2 + t[33]/2 + t[34]/2 + 4*t[35] - 
       (7*t[36])/2 - 2*t[37] - t[39]/2 + (3*t[40])/2 - t[41]/4 + t[42]/4 + 
       2*t[43] + (15*t[45])/8 + (13*t[46])/4 - (17*t[47])/4 - (63*t[48])/8 - 
       (37*t[49])/32 + (5*t[50])/8 - (45*t[51])/64 - (25*t[52])/8 + 
       (21*t[53])/32 - (73*t[54])/16 - t[58]/2 + (3*t[59])/4 + 
       (321*t[60])/16 + (419*t[61])/16 - (431*t[62])/32 + (23*t[63])/32 - 
       (497*t[64])/32 - (665*t[65])/48 - (681*t[66])/16 - t[69] + 3*t[72] - 
       t[73] + 3*t[74] + 8*t[75] + (5*t[76])/2 + t[77]/2 + 2*t[78] - 
       (29*t[79])/2 + (17*t[80])/2 + 6*t[81] - (21*t[82])/2 + (23*t[83])/2 + 
       (27*t[84])/16 + (47*t[85])/16 + (67*t[86])/4 - (335*t[87])/16 - 
       (335*t[88])/32 - (509*t[89])/32 + t[97]/2 + 10*t[98] + 14*t[99] - 
       (53*t[100])/2) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((35*t[2])/8 - (41*t[3])/8 - (31*t[4])/16 - (63*t[6])/8 + t[7] + 
       (35*t[8])/8 - (31*t[9])/8 + (181*t[10])/32 + (23*t[11])/4 - 
       (79*t[12])/32 + (947*t[13])/144 + (747*t[14])/64 + (461*t[15])/96 - 
       t[26]/2 - t[27] - t[28] - t[29] + 2*t[30] - t[32]/2 + t[33]/2 + 
       t[34]/2 + 4*t[35] - (3*t[36])/2 - t[39]/2 + (3*t[40])/2 - t[41]/4 + 
       t[42]/4 + 2*t[43] + (15*t[45])/8 - (5*t[46])/4 - (17*t[47])/4 - 
       (41*t[48])/8 + (67*t[49])/32 - (13*t[50])/8 + (19*t[51])/64 - 
       (7*t[52])/8 - (83*t[53])/32 - (13*t[54])/16 - t[58]/2 + (5*t[59])/4 + 
       (309*t[60])/16 + (615*t[61])/16 - (323*t[62])/32 + (475*t[63])/32 - 
       (453*t[64])/32 - (173*t[65])/48 - (561*t[66])/16 - t[69] + 2*t[72] - 
       t[73] + 3*t[74] + 7*t[75] + (5*t[76])/2 + t[77]/2 + 4*t[78] - 
       6*t[79] + t[80]/2 + 5*t[81] - (17*t[82])/2 + 11*t[83] + 
       (67*t[84])/16 + (31*t[85])/16 + (61*t[86])/4 - (287*t[87])/16 - 
       (287*t[88])/32 - (457*t[89])/32 + t[97]/2 + 10*t[98] + 14*t[99] - 
       (53*t[100])/2) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((-5*t[1])/4 + 2*t[2] - (11*t[3])/4 + (71*t[4])/8 + (7*t[5])/2 + 
       (87*t[6])/8 - (229*t[7])/16 + (85*t[8])/16 - (81*t[9])/16 + 
       (77*t[10])/8 + (65*t[11])/16 + (23*t[12])/16 - (61*t[13])/96 + 
       (1171*t[14])/96 + (607*t[15])/96 - t[18] + 2*t[20] + t[21] - t[23] + 
       3*t[28] + 2*t[31] + 2*t[33] - t[34] - 3*t[35] + t[39] - t[40] + 
       (3*t[41])/4 - (5*t[42])/4 + (31*t[43])/16 - t[44]/2 + t[45]/8 + 
       (5*t[46])/4 - (17*t[47])/4 + (53*t[48])/16 - (57*t[49])/16 - 
       (75*t[50])/16 - (29*t[51])/32 + (123*t[52])/16 + (57*t[53])/16 + 
       (85*t[54])/16 - t[58]/2 + t[59]/2 + (55*t[60])/4 + 29*t[61] + 
       (147*t[62])/4 + (81*t[63])/4 - (163*t[64])/4 - 26*t[65] + 
       (17*t[66])/2 + 2*t[70] - 2*t[71] - t[72] - t[73] + 3*t[74] + 8*t[75] - 
       (5*t[76])/2 + t[77] + (11*t[78])/2 - 9*t[79] - 3*t[80] - t[82] - 
       (29*t[83])/2 + (11*t[84])/4 - (9*t[85])/4 - (95*t[86])/2 - 
       (35*t[87])/4 - (35*t[88])/8 - (61*t[89])/8 - 14*t[98] + 12*t[99] - 
       26*t[100]) + F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      (t[1]/4 + (3*t[2])/2 + (3*t[3])/2 + (41*t[4])/8 + (33*t[5])/16 - 
       (29*t[6])/16 + (15*t[7])/4 + (13*t[8])/4 - (25*t[9])/16 - 
       (13*t[10])/4 - (65*t[11])/16 - (85*t[12])/16 + (143*t[13])/72 + 
       (275*t[14])/96 - (259*t[15])/96 + 2*t[25] - (5*t[26])/2 + t[27] - 
       t[28] - t[31] + t[35] - t[36]/2 - t[37]/2 + t[38]/2 - t[39]/2 + 
       t[40] - t[43]/2 + t[44] + t[45]/2 - (3*t[46])/2 - t[47] + 
       (15*t[48])/16 + (31*t[49])/8 - (41*t[50])/16 - (49*t[51])/32 + 
       (25*t[52])/16 - (53*t[53])/8 - (21*t[54])/16 - t[59]/4 + 
       (71*t[60])/8 + (51*t[61])/4 - (115*t[62])/8 - (49*t[63])/8 - 
       (23*t[64])/8 - (55*t[65])/24 - (107*t[66])/8 + t[70] - t[71] + 
       2*t[72] + 2*t[73] + (5*t[74])/2 - 7*t[75] - t[76] - t[77]/2 + 
       3*t[78] + 3*t[79] - 3*t[80] - (13*t[81])/4 + (17*t[82])/4 + 9*t[83] + 
       (21*t[84])/8 - (5*t[85])/4 + 10*t[86] - (5*t[87])/2 + (13*t[88])/4 - 
       (61*t[89])/16 - t[95] - t[96] + t[97]/2 - 14*t[98] + 12*t[99] - 
       26*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[u, v, w]*
      (t[1]/2 - t[3]/2 + (19*t[4])/2 - (5*t[5])/2 + (27*t[6])/4 + 
       (3*t[7])/2 + 13*t[8] + 4*t[9] + (9*t[10])/2 - (13*t[11])/4 - 
       (9*t[12])/4 + (5*t[13])/4 + (149*t[14])/24 - (7*t[15])/6 + t[25] - 
       2*t[26] + t[28] + t[31] - 2*t[35] + t[38] + t[39] - t[43]/2 - 
       2*t[46] + (11*t[48])/4 + (7*t[49])/4 - (17*t[50])/4 + (5*t[51])/8 + 
       (17*t[52])/4 - (7*t[53])/4 + (23*t[54])/4 - t[59] + (3*t[60])/2 + 
       (15*t[61])/2 - (5*t[62])/4 + (37*t[63])/4 - (35*t[64])/4 + 
       (13*t[65])/6 - (49*t[66])/6 - 2*t[73] - t[74] + 2*t[75] - t[76] + 
       2*t[78] - t[79] + 2*t[81] - t[82] - 8*t[83] + (3*t[84])/2 + 
       (3*t[85])/2 - 3*t[86] - (11*t[87])/2 - (11*t[88])/4 + (7*t[89])/4 - 
       4*t[98] + 20*t[99] - 26*t[100]) + HPL[{0, 1}, 1 - v]*K1[u, v, w]*
      (-t[1] - (5*t[3])/4 - t[4] + (11*t[5])/4 + (17*t[6])/2 - t[7]/4 + 
       (51*t[8])/4 + (29*t[9])/4 - (41*t[10])/4 - (11*t[11])/4 - 
       (5*t[12])/2 - (13*t[13])/72 + (61*t[14])/6 + (4*t[15])/3 + 2*t[25] - 
       2*t[26] - 2*t[27] + 3*t[28] + t[31] - 2*t[35] + t[36] + t[37] + 
       t[38] + 3*t[39] + t[45] - 2*t[46] - 2*t[47] + (33*t[48])/4 + 
       (11*t[49])/4 - (19*t[50])/4 - t[51]/4 + (19*t[52])/4 - (11*t[53])/4 + 
       (27*t[54])/4 - t[59] + (13*t[60])/2 + 21*t[61] - (55*t[62])/8 + 
       (199*t[63])/8 + (57*t[64])/4 + (9*t[65])/4 - (25*t[66])/3 + t[69] + 
       2*t[70] - 2*t[71] - t[72] - 3*t[73] - 2*t[74] - 2*t[76] + 
       (5*t[78])/2 - 4*t[79] - 5*t[80] - t[81]/2 - 11*t[83] + (11*t[84])/4 - 
       (13*t[85])/4 - 15*t[86] - (23*t[87])/4 - (23*t[88])/8 - t[89]/2 - 
       10*t[98] + 14*t[99] - 23*t[100]) + H1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*((-15*t[3])/8 + t[4] - (39*t[5])/16 + (35*t[6])/16 + 
       (7*t[7])/8 + (13*t[8])/8 + (69*t[9])/16 + (53*t[10])/8 + 
       (21*t[11])/16 - t[12]/16 - (127*t[13])/144 + (179*t[14])/24 + 
       (89*t[15])/96 - t[26] - t[35]/2 + t[37]/2 + (3*t[45])/2 + t[46]/2 - 
       3*t[47] + (15*t[48])/16 + t[49]/4 - (21*t[50])/16 - t[51]/4 + 
       (21*t[52])/16 - t[53]/4 + (21*t[54])/16 + (63*t[60])/8 + 
       (91*t[61])/8 + (43*t[62])/16 + (13*t[63])/16 - (297*t[64])/16 - 
       (107*t[65])/24 - (67*t[66])/8 - t[74]/2 + t[75]/2 + t[78]/2 + 
       2*t[79] - 2*t[80] - t[82]/2 - (13*t[83])/4 + (15*t[84])/8 + 
       (3*t[85])/8 - 7*t[86] - (45*t[87])/8 - (45*t[88])/16 - (7*t[89])/16 + 
       3*t[99] - (45*t[100])/2) + H1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (-t[1]/2 - (15*t[3])/8 + 5*t[4] - (43*t[5])/16 + (11*t[6])/16 - 
       t[7]/8 + (29*t[8])/8 + (73*t[9])/16 + 7*t[10] + (29*t[11])/16 + 
       (13*t[12])/16 - (35*t[13])/144 + (271*t[14])/48 + (19*t[15])/32 + 
       t[28]/2 + t[39]/2 - t[40]/2 + t[45]/2 + t[46] - t[47] + 
       (23*t[48])/16 + (5*t[49])/8 - (29*t[50])/16 - (5*t[51])/16 + 
       (29*t[52])/16 - (5*t[53])/8 + (29*t[54])/16 + (63*t[60])/8 + 
       (83*t[61])/8 + (55*t[62])/16 - (15*t[63])/16 - (225*t[64])/16 - 
       (59*t[65])/24 - (413*t[66])/24 - t[74]/2 + t[75] + t[77]/2 + t[78]/2 + 
       t[79] - t[80] - (7*t[83])/2 + (15*t[84])/8 + (3*t[85])/8 - 5*t[86] - 
       (45*t[87])/8 - (45*t[88])/16 + (17*t[89])/16 + 3*t[99] - 
       (45*t[100])/2) + F1[w, u, v]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((-3*t[1])/2 - (11*t[3])/4 + (43*t[4])/4 - (21*t[5])/8 + t[6]/8 + 
       (7*t[7])/2 - t[8]/2 + (39*t[9])/8 - 2*t[10] + (33*t[11])/8 + 
       (5*t[12])/8 + (15*t[13])/8 + (28*t[14])/3 + (35*t[15])/48 + 2*t[25] - 
       t[26] + t[28] - t[38] + t[39] + t[44] - t[46] + (13*t[48])/8 + 
       (7*t[49])/2 + t[50]/8 + t[51]/4 - t[52]/8 - (7*t[53])/2 - 
       (11*t[54])/8 + t[59] + (27*t[60])/4 + (63*t[61])/4 - (13*t[62])/8 + 
       (33*t[63])/8 - 11*t[64] - (91*t[65])/12 - (49*t[66])/4 + 2*t[73] - 
       t[74] - 2*t[75] + t[76] + t[79]/4 + t[81] - (3*t[83])/2 + 
       (9*t[84])/4 - (7*t[85])/4 - (13*t[86])/4 - (13*t[87])/4 - 
       (13*t[88])/8 - (25*t[89])/8 + 6*t[98] - 6*t[99] - 21*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      ((-5*t[3])/4 + (3*t[4])/2 - (7*t[5])/8 + (5*t[6])/2 + (9*t[7])/8 + 
       (13*t[8])/8 + (17*t[9])/8 + (25*t[10])/8 + (5*t[11])/4 - (7*t[12])/8 + 
       (55*t[13])/72 + (307*t[14])/48 + (29*t[15])/48 - t[27] + t[45] + 
       t[46]/4 - 2*t[47] + t[48] + t[49] - t[50]/2 + t[51]/16 + t[52]/2 - 
       t[53] + t[54]/2 + (11*t[60])/2 + 10*t[61] - (11*t[62])/4 + t[63]/2 - 
       (53*t[64])/4 - (61*t[65])/12 - (143*t[66])/12 + t[73] - t[74]/2 - 
       t[75] + t[76] - t[78] - t[79]/2 - 2*t[80] + t[81]/2 - (3*t[82])/2 - 
       t[83]/2 + (5*t[84])/4 - t[85]/2 - (5*t[86])/2 - 3*t[87] - 
       (3*t[88])/2 - (11*t[89])/4 + 6*t[98] - 6*t[99] - 21*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      (-t[1] - (3*t[2])/16 - (11*t[3])/4 + (53*t[4])/8 - (27*t[5])/8 + 
       (5*t[6])/16 + (15*t[7])/4 + 5*t[9] - (53*t[10])/8 + (23*t[11])/4 + 
       (7*t[12])/8 + (923*t[13])/288 + (99*t[14])/16 + (23*t[15])/16 + 
       2*t[25] - t[26] + t[28] - t[35]/4 - t[38] + t[39] + t[44] - t[46] + 
       (23*t[48])/16 + (11*t[49])/8 + (5*t[50])/16 + (9*t[51])/16 - 
       (5*t[52])/16 - (11*t[53])/8 - (25*t[54])/16 + t[59]/2 + (51*t[60])/8 + 
       (117*t[61])/8 - (21*t[62])/16 - (13*t[63])/16 - (19*t[64])/4 - 
       (69*t[65])/16 - (533*t[66])/48 + 2*t[73] - t[74] - 2*t[75] + t[76] + 
       (9*t[81])/8 - t[82]/8 - (21*t[83])/8 + (33*t[84])/16 - (7*t[85])/4 - 
       2*t[86] - (19*t[87])/8 - (19*t[88])/16 - (17*t[89])/8 + 6*t[98] - 
       6*t[99] - 21*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      Phi6[u, v, w]*((3*t[2])/16 - (5*t[3])/4 - (3*t[4])/8 - t[5]/8 + 
       (37*t[6])/16 + (3*t[7])/2 + (9*t[8])/4 + (9*t[9])/4 + (19*t[10])/4 + 
       t[11]/8 - t[12]/2 + (61*t[13])/288 + (23*t[14])/4 + (29*t[15])/48 - 
       t[27] + t[35]/4 + t[45] - 2*t[47] + (19*t[48])/16 + t[49] - 
       (11*t[50])/16 + t[51]/4 + (11*t[52])/16 - t[53] + (11*t[54])/16 + 
       (51*t[60])/8 + (73*t[61])/8 - (57*t[62])/16 + (11*t[63])/16 - 
       (65*t[64])/8 - (59*t[65])/16 - (479*t[66])/48 + t[73] - t[74] - 
       t[75] + t[76] - t[78] - t[79] - 2*t[80] + (3*t[81])/8 - (11*t[82])/8 - 
       (7*t[83])/8 + (23*t[84])/16 - t[85]/2 - t[86] - (27*t[87])/8 - 
       (27*t[88])/16 - 2*t[89] + 6*t[98] - 6*t[99] - 21*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (-t[1] - (3*t[2])/2 - (9*t[3])/2 + (17*t[4])/2 - (63*t[5])/8 + 
       (17*t[6])/8 + (13*t[7])/4 + 5*t[8] + (95*t[9])/8 - (67*t[10])/4 + 
       (39*t[11])/8 + (37*t[12])/8 + (253*t[13])/72 + (271*t[14])/24 + 
       (37*t[15])/48 - t[24] + t[28] + 2*t[31] + 4*t[35] - t[37] + t[39] - 
       t[43]/2 + (3*t[46])/2 + (3*t[48])/8 - t[49] - (9*t[50])/8 - 
       (5*t[51])/8 + (9*t[52])/8 + t[53] - (7*t[54])/8 - t[59]/2 + 10*t[60] + 
       (31*t[61])/2 - (17*t[62])/8 - (15*t[63])/8 - (63*t[64])/4 - 
       (25*t[65])/6 - (65*t[66])/12 - t[73] - t[74] + 7*t[75] + 3*t[78] - 
       3*t[79] - t[80] + t[81]/2 - t[82]/2 - (9*t[83])/2 + 2*t[84] + 
       (3*t[85])/4 - t[86] - (23*t[87])/4 - (23*t[88])/8 - 2*t[98] + 
       6*t[99] - (37*t[100])/2) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*(t[1] + 3*t[2] - (63*t[4])/4 + (79*t[5])/8 + t[6]/2 + 
       (29*t[7])/4 + (13*t[8])/4 - (9*t[9])/8 - (31*t[10])/8 - (9*t[11])/4 - 
       (13*t[12])/4 + (35*t[13])/36 - (77*t[14])/16 + (95*t[15])/48 - 
       2*t[25] + t[26] + t[37] + t[38] + t[43]/2 + t[44] - (3*t[46])/2 + 
       t[48]/4 - (3*t[49])/8 + (5*t[50])/4 + (29*t[51])/16 - (5*t[52])/4 + 
       (3*t[53])/8 - (3*t[54])/2 - t[59] + (5*t[60])/4 + (31*t[61])/4 - 
       (25*t[62])/4 - (41*t[63])/4 + (27*t[64])/8 + (7*t[65])/12 - 
       (4*t[66])/3 + 2*t[75] + t[76] + 2*t[78] + 2*t[79] + 2*t[80] - 
       t[81]/2 + t[82]/2 - t[83] + (3*t[84])/4 - (3*t[85])/2 + 15*t[86] - 
       (21*t[89])/8 - 2*t[98] + 6*t[99] - (37*t[100])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*((-3*t[3])/2 + 3*t[4] - 
       3*t[5] + (9*t[6])/8 + (5*t[7])/4 + (17*t[8])/4 + (9*t[9])/2 - 
       (15*t[10])/4 + (21*t[11])/8 + (5*t[12])/4 + (139*t[14])/24 - 
       (5*t[15])/12 + t[46] + (9*t[48])/8 - t[49]/2 - (15*t[50])/8 + 
       (15*t[52])/8 + t[53]/2 + (15*t[54])/8 + (35*t[60])/4 + (43*t[61])/4 - 
       (25*t[62])/8 - (11*t[63])/8 - (123*t[64])/8 - (11*t[65])/6 - 
       (28*t[66])/3 - t[73] - t[74] + 4*t[75] - t[79] + t[81]/2 - t[82]/2 - 
       8*t[83] + (3*t[84])/2 + (3*t[85])/4 - t[86] - (23*t[87])/4 - 
       (23*t[88])/8 - (5*t[89])/8 - (33*t[100])/2) + 
     F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((25*t[2])/8 - (3*t[3])/2 - (15*t[4])/2 - (5*t[5])/8 + t[6] + 
       (61*t[7])/8 + (99*t[8])/8 + (21*t[9])/4 - (55*t[10])/8 + t[11]/4 - 
       t[12]/4 + (11*t[13])/6 + (3*t[14])/4 - (17*t[15])/12 - t[23]/2 - 
       t[24]/2 - t[31]/2 - t[35]/2 + t[37] + t[41]/4 - t[42]/4 + t[43]/2 - 
       t[45] + 3*t[47] + (9*t[48])/4 - (3*t[49])/4 - (9*t[50])/4 + 
       (3*t[51])/8 + (9*t[52])/4 + (3*t[53])/4 + (15*t[54])/4 - t[59] + 
       (19*t[60])/4 + (43*t[61])/4 - (119*t[62])/8 - (125*t[63])/8 + 
       (73*t[64])/8 + (26*t[65])/3 - (137*t[66])/12 - (3*t[69])/2 + t[70] - 
       t[71] + t[74]/2 + (7*t[79])/2 + 6*t[80] + t[81]/2 - t[82]/2 - 
       2*t[83] + (7*t[84])/4 + t[85]/2 + (41*t[86])/2 - 2*t[87] - t[88] + 
       (21*t[89])/8 - (33*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      Phi6[u, v, w]*(-t[1]/2 - (3*t[2])/4 - (17*t[3])/8 + (47*t[4])/8 - 
       (43*t[5])/16 + (67*t[6])/48 + t[7]/8 + (13*t[8])/8 + (49*t[9])/16 + 
       (25*t[10])/16 + (41*t[11])/16 + (9*t[12])/8 + (427*t[13])/144 + 
       (605*t[14])/96 + (17*t[15])/32 + t[28]/2 + t[39]/2 - t[40]/2 - t[44] + 
       t[45]/2 + t[46] - t[47] - (23*t[48])/16 + (5*t[49])/16 - 
       (11*t[50])/16 - (21*t[51])/32 + (11*t[52])/16 - (5*t[53])/16 + 
       (21*t[54])/16 + t[59]/4 + 7*t[60] + (33*t[61])/4 - t[62]/2 + 
       (7*t[63])/4 - (127*t[64])/8 - (133*t[65])/24 - (1063*t[66])/72 + 
       t[73]/2 - t[74]/2 - t[75]/2 + t[76]/2 + t[77]/2 - t[78]/2 - 2*t[79] - 
       t[80] + (5*t[81])/4 - (5*t[82])/4 - t[83]/2 + (9*t[84])/8 + t[85] - 
       2*t[86] - (23*t[87])/4 - (23*t[88])/8 - (9*t[89])/8 + 3*t[98] - 
       3*t[99] - (33*t[100])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      Phi6[u, v, w]*(-t[3]/8 - (11*t[5])/4 - (9*t[6])/16 + t[7]/2 + 
       (7*t[8])/4 + (23*t[9])/8 + 3*t[10] + (19*t[11])/16 + t[12] - 
       (101*t[13])/144 + (65*t[14])/48 - (25*t[15])/24 - t[26] - 
       (3*t[28])/2 - t[31]/2 + t[35]/2 + t[37]/2 - t[39] + t[40]/2 - 
       t[45]/2 - t[46] + t[47] - (5*t[48])/16 + t[49]/4 - (17*t[50])/16 + 
       t[51]/8 + (17*t[52])/16 - t[53]/4 + (17*t[54])/16 - t[60]/8 + 
       (13*t[61])/8 - (3*t[62])/16 - (21*t[63])/16 - (15*t[64])/16 - 
       (47*t[65])/24 - (77*t[66])/24 + t[72]/2 + t[73]/2 - t[74]/2 - 
       3*t[75] + t[76]/2 - t[77]/2 - (3*t[78])/2 + (7*t[79])/2 + 2*t[80] + 
       t[81]/2 - t[82] + (9*t[83])/4 + t[84]/8 + (11*t[85])/8 + (5*t[86])/2 - 
       (9*t[87])/8 - (9*t[88])/16 - (13*t[89])/16 + 3*t[98] - 3*t[99] - 
       (33*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((-3*t[2])/2 - t[3]/2 + 2*t[4] - (23*t[5])/4 + 2*t[6] + t[7]/2 - 
       t[8]/2 - t[9]/4 - (25*t[10])/2 + (19*t[11])/2 - (17*t[12])/4 + 
       2*t[13] - t[14]/12 + (7*t[15])/24 - 2*t[35] - (3*t[48])/2 + 
       (3*t[50])/2 - (3*t[52])/2 - (3*t[54])/2 - 7*t[60] + 3*t[61] - 
       (15*t[62])/2 - (11*t[63])/2 - 2*t[64] - (5*t[65])/6 - (9*t[66])/2 + 
       t[81] - t[82] + 5*t[83] - (3*t[84])/2 + 5*t[87] + (5*t[88])/2 + 
       4*t[99] - (33*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      Phi6[u, v, w]*(t[1]/2 - (11*t[3])/4 + (45*t[4])/4 - (33*t[5])/8 - 
       2*t[6] - (5*t[7])/4 - (3*t[8])/4 + (57*t[9])/8 + (199*t[10])/8 + 
       (9*t[11])/4 + (5*t[12])/4 + (44*t[13])/9 + (473*t[14])/48 - 
       (25*t[15])/48 + 4*t[35] - t[37] + 2*t[43] + 3*t[48] + (23*t[49])/8 - 
       2*t[50] + t[51]/16 + 2*t[52] - (23*t[53])/8 - (3*t[54])/4 + 
       (25*t[60])/4 + (43*t[61])/4 + (5*t[62])/2 + (31*t[63])/2 - 
       (15*t[64])/8 - (25*t[65])/6 - (217*t[66])/12 - t[79] + 5*t[80] - 
       t[81] - t[82] - 5*t[83] + 2*t[84] - (3*t[85])/2 - 2*t[86] - 
       (7*t[87])/2 - (7*t[88])/4 + t[89]/8 + 4*t[99] - (33*t[100])/2) + 
     HPL[{0, 1}, 1 - v]*J1[u, v, w]*((-5*t[1])/16 - (5*t[2])/4 - 
       (15*t[3])/32 - (23*t[4])/16 + t[5]/2 + (91*t[6])/32 - (7*t[7])/16 + 
       (29*t[8])/16 + (15*t[9])/16 - (43*t[10])/4 + (41*t[11])/16 - t[12]/8 + 
       (239*t[13])/64 + (175*t[14])/96 + (13*t[15])/64 - t[19]/8 - t[21]/8 + 
       t[23]/8 + (3*t[25])/4 - (5*t[26])/8 - (3*t[27])/4 + (11*t[28])/8 + 
       (5*t[31])/8 - (9*t[35])/8 - (3*t[37])/8 + (5*t[38])/8 + (11*t[39])/8 + 
       t[40]/8 - (3*t[46])/8 + t[47]/8 + (47*t[48])/16 + (15*t[49])/16 - 
       (5*t[50])/4 - t[51]/32 + (5*t[52])/4 - (15*t[53])/16 + (11*t[54])/16 - 
       (5*t[59])/8 - t[60]/16 + (239*t[61])/16 - (63*t[62])/32 + 
       (355*t[63])/32 + (471*t[64])/32 + (97*t[65])/24 - (29*t[66])/3 + 
       t[69]/8 + (5*t[70])/8 - (5*t[71])/8 + (3*t[72])/4 - (3*t[74])/4 - 
       t[75]/4 - t[77]/8 - t[78]/4 + (3*t[79])/4 + t[80]/4 + t[82]/8 - 
       (57*t[83])/16 + (15*t[84])/8 - (19*t[85])/16 - (31*t[86])/4 - 
       (17*t[87])/16 - (17*t[88])/32 - (47*t[89])/32 - (9*t[99])/2 - 
       (65*t[100])/4) + F1[w, u, v]*HPL[{0, 0, 1}, 1 - u]*
      ((3*t[1])/4 - 2*t[2] + t[3]/2 - (53*t[4])/4 + (59*t[5])/8 - 
       (15*t[6])/2 + (23*t[7])/8 - (133*t[8])/8 + (11*t[9])/4 + 
       (63*t[10])/8 - (115*t[11])/8 - (61*t[12])/8 - (317*t[13])/48 + 
       2*t[14] + (13*t[15])/12 - t[25] - t[26]/2 + 2*t[28] - t[29] + t[30] + 
       t[34]/2 - 2*t[35] + t[36] + t[38] + 2*t[39] + t[40] - t[41]/4 + 
       t[42]/4 + (17*t[43])/8 - t[44] + 2*t[45] - 3*t[46] - 4*t[47] - 
       (15*t[48])/8 + 4*t[49] - (7*t[50])/8 + t[51] - (13*t[52])/8 - 
       4*t[53] - (29*t[54])/8 - t[58]/2 + (3*t[59])/4 + (29*t[60])/4 + 
       (133*t[61])/4 - (23*t[62])/8 + (203*t[63])/8 - 13*t[64] - 5*t[65] - 
       (167*t[66])/12 + 4*t[75] + (3*t[76])/2 + (13*t[78])/2 + 2*t[79] + 
       4*t[80] + 2*t[81] + (5*t[82])/2 + 15*t[83] + t[84]/2 - t[85]/2 - 
       (5*t[86])/2 - (15*t[87])/2 - (15*t[88])/4 - (91*t[89])/8 + t[97]/2 + 
       8*t[98] - 16*t[100]) + F1[u, v, w]*HPL[{0, 0, 1}, 1 - w]*
      ((-3*t[1])/4 - (17*t[2])/4 - (5*t[3])/2 + 6*t[4] - (75*t[5])/8 - 
       (43*t[6])/8 - (5*t[7])/2 - (57*t[8])/2 + (123*t[9])/8 - 9*t[10] + 
       (33*t[11])/8 + (17*t[12])/8 + (25*t[13])/18 + (149*t[14])/12 + 
       (29*t[15])/48 + 2*t[25] - (3*t[26])/2 - 2*t[27] - t[28] + 2*t[30] + 
       3*t[31] + t[34]/2 + 2*t[35] - 2*t[36] - 3*t[37] - t[38] + t[40] - 
       t[41]/4 + t[42]/4 + t[44] + t[45] + 2*t[46] - 2*t[47] - (37*t[48])/8 - 
       (7*t[49])/4 - (5*t[50])/8 - (15*t[52])/8 + (5*t[53])/4 - 
       (13*t[54])/8 - t[58]/2 + (3*t[59])/4 + (119*t[60])/4 + (179*t[61])/4 + 
       (49*t[62])/2 + (49*t[63])/2 - 63*t[64] - (83*t[65])/6 - 
       (73*t[66])/12 - t[72] - t[73] + 13*t[75] + (5*t[76])/2 + 2*t[77] + 
       (13*t[78])/2 - 8*t[79] - 2*t[80] + (7*t[81])/2 - 4*t[82] - 5*t[83] + 
       3*t[84] + (7*t[85])/4 - 44*t[86] - (109*t[87])/4 - (109*t[88])/8 - 
       (67*t[89])/8 + t[97]/2 + 8*t[98] - 16*t[100]) + 
     G[u, v, w]*HPL[{1}, 1 - u]^2*((3*t[3])/4 + t[4] - (21*t[5])/16 - 
       (5*t[6])/8 + (9*t[7])/8 + (13*t[8])/8 + (9*t[9])/16 - (23*t[10])/8 + 
       3*t[11] + (9*t[12])/16 - (61*t[13])/72 - (9*t[14])/16 - 
       (173*t[15])/96 - (3*t[28])/2 - t[31]/2 + t[35] + t[36] - t[39] + 
       t[40]/2 - t[45] + 2*t[47] - (5*t[48])/8 + (3*t[49])/4 - t[50]/8 - 
       (5*t[51])/8 + t[52]/8 - (3*t[53])/4 + t[54]/8 - (9*t[60])/4 + 
       t[61]/2 - (29*t[62])/4 + (3*t[63])/4 + 9*t[64] - (8*t[65])/3 - 
       (11*t[66])/3 + t[69]/2 + t[72]/2 + t[73] - 4*t[75] + t[76]/2 - 
       t[77]/2 - 2*t[78] + (5*t[79])/2 + 2*t[80] + (23*t[83])/4 - 
       (3*t[84])/4 + (3*t[85])/4 + (19*t[86])/2 + (7*t[87])/4 + (7*t[88])/8 - 
       (13*t[89])/4 + 3*t[98] - 6*t[99] - (27*t[100])/2) + 
     G[u, v, w]*HPL[{1}, 1 - w]^2*(-t[1]/4 + (9*t[2])/8 - (21*t[3])/8 + 
       (15*t[4])/2 - (51*t[5])/16 - (3*t[6])/8 - (5*t[7])/4 + (7*t[8])/8 + 
       (77*t[9])/16 + (13*t[10])/8 + (57*t[11])/8 + (63*t[12])/16 + 
       (95*t[13])/36 + (55*t[14])/12 - (61*t[15])/32 + t[17]/4 - t[23]/2 - 
       (3*t[24])/2 - t[31]/2 - t[35]/2 - t[37]/2 + t[41]/2 - t[42]/2 - 
       t[43]/2 - t[44] - t[45] + (5*t[47])/2 - (9*t[48])/8 + (3*t[49])/8 + 
       (3*t[50])/8 - (7*t[51])/16 - (3*t[52])/8 - (3*t[53])/8 + (3*t[54])/8 + 
       6*t[60] + (59*t[61])/4 - (7*t[62])/4 + (29*t[63])/8 - (15*t[64])/4 - 
       (55*t[65])/24 - (271*t[66])/24 - t[69] + t[70] - t[71] + t[73]/2 - 
       t[74]/2 - (3*t[75])/2 + t[76]/2 - t[78] + t[79]/2 + t[80] + 
       (5*t[81])/4 - (5*t[82])/4 + (3*t[83])/4 + (11*t[84])/8 + t[85]/2 - 
       (7*t[86])/2 - (11*t[87])/4 - (11*t[88])/8 - (13*t[89])/8 + 3*t[98] - 
       6*t[99] - (27*t[100])/2) + F1[v, w, u]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*((-5*t[3])/8 + (3*t[5])/16 + (31*t[6])/16 + 
       (7*t[7])/8 + t[8]/8 + (7*t[9])/16 + (11*t[10])/2 + (9*t[11])/16 - 
       (13*t[12])/16 - (37*t[13])/144 + (199*t[14])/48 + (13*t[15])/32 - 
       t[27] + t[45] + t[46]/2 - 2*t[47] + (7*t[48])/16 + (5*t[49])/8 + 
       (3*t[50])/16 - (3*t[51])/16 - (3*t[52])/16 - (5*t[53])/8 - 
       (3*t[54])/16 + (27*t[60])/8 + (43*t[61])/8 - (73*t[62])/16 + 
       (17*t[63])/16 - (105*t[64])/16 - (125*t[65])/24 - (179*t[66])/24 + 
       2*t[73] - t[74] - 3*t[75] + t[76] - t[78] - t[79] - 2*t[80] + t[81] - 
       2*t[82] + (3*t[83])/2 + (5*t[84])/8 - (5*t[85])/8 - t[86] - 
       (9*t[87])/8 - (9*t[88])/16 - (43*t[89])/16 + 6*t[98] - 6*t[99] - 
       (27*t[100])/2) + F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (-t[1] + (7*t[2])/8 - (13*t[3])/8 + (29*t[4])/4 - (5*t[5])/16 + 
       (39*t[6])/16 - t[7]/4 + t[8]/4 + (9*t[9])/16 - (65*t[10])/8 + 
       (69*t[11])/16 + t[12]/16 + (341*t[13])/144 + (163*t[14])/48 + 
       (185*t[15])/96 + t[21]/2 - t[23]/2 + t[24]/2 + 2*t[25] - t[26] + 
       t[28] + t[31]/2 - t[35]/2 - t[38] + t[39] + t[41]/4 - t[42]/4 + 
       t[43]/4 + t[44] - t[46] - t[47]/2 + (23*t[48])/16 + (11*t[49])/8 - 
       (5*t[50])/16 + (9*t[51])/16 + (5*t[52])/16 - (11*t[53])/8 - 
       (23*t[54])/16 + t[59]/2 + (31*t[60])/8 + (91*t[61])/8 + 
       (67*t[62])/16 - (7*t[63])/16 - (11*t[64])/16 - (121*t[65])/24 - 
       (175*t[66])/24 - t[69]/2 + 2*t[73] - t[74] - 2*t[75] + t[76] + 
       (3*t[79])/4 + t[80] + (3*t[81])/2 - t[82]/2 - (9*t[83])/4 + 
       (11*t[84])/8 - (13*t[85])/8 - (27*t[86])/4 - (5*t[87])/8 - 
       (5*t[88])/16 - (43*t[89])/16 + 6*t[98] - 6*t[99] - (27*t[100])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((-3*t[1])/4 - (11*t[2])/8 - (5*t[3])/8 - (25*t[4])/8 + 5*t[5] - 
       t[6]/8 - 3*t[7] - 5*t[9] + (39*t[10])/16 - (7*t[11])/2 + 
       (23*t[12])/16 - (55*t[13])/72 + (133*t[14])/96 - (13*t[15])/24 + 
       t[19]/2 + t[21]/2 - t[23]/2 + t[24]/2 - t[25] + (3*t[26])/2 - 
       t[28]/2 - t[31]/2 + 2*t[35] - t[37]/2 - t[38]/2 - t[39]/2 - t[40]/2 + 
       t[41]/2 - t[42]/2 - t[45]/2 - t[46]/2 + (11*t[48])/4 - (7*t[49])/16 - 
       (7*t[50])/4 + (39*t[51])/32 + (7*t[52])/4 + (7*t[53])/16 + 
       (17*t[54])/8 + t[59]/2 + (5*t[60])/2 + 7*t[61] + 6*t[62] - t[63]/4 - 
       (51*t[64])/8 + t[65]/8 + (25*t[66])/24 - t[69]/2 + t[70]/2 - t[71]/2 + 
       t[74] - (3*t[75])/2 + t[77]/2 - t[78]/2 - 2*t[79] + 3*t[80] - 
       (3*t[81])/4 + (7*t[82])/4 - (23*t[83])/4 + (11*t[84])/8 - 
       (5*t[85])/4 - 8*t[86] - t[87] - t[88]/2 - (11*t[89])/8 - t[99] - 
       13*t[100]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (-t[1]/4 + (7*t[2])/2 - t[3]/8 - (9*t[4])/2 - (3*t[5])/8 - (3*t[6])/8 + 
       (9*t[7])/2 + 5*t[8] + (31*t[9])/8 - 9*t[10] + (13*t[11])/4 + 
       (17*t[12])/8 + (97*t[13])/144 - t[14]/24 + (5*t[15])/4 - t[19]/2 + 
       t[21]/2 - t[23]/2 - t[26]/2 - t[31]/2 + t[35]/2 + t[36] - t[37]/2 - 
       t[38]/2 - t[45]/2 - t[46] + t[47]/2 + t[48]/4 - (3*t[49])/4 + 
       t[50]/2 + t[51]/4 - t[52]/2 + (3*t[53])/4 - (3*t[54])/2 + t[59]/2 + 
       (7*t[60])/4 + 5*t[61] - (153*t[62])/16 - (215*t[63])/16 - 
       (33*t[64])/8 + (121*t[65])/24 + (3*t[66])/8 - t[69]/2 + t[70]/2 - 
       t[71]/2 - t[74]/2 - (7*t[75])/2 - t[78]/2 - 2*t[79] + 2*t[80] - 
       t[81] - t[82]/2 + 5*t[83] + (3*t[84])/4 - t[85]/4 + 17*t[86] + 
       (7*t[87])/4 + (7*t[88])/8 - (9*t[89])/8 - t[99] - 13*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[w, u, v]*((-5*t[3])/4 + 6*t[4] - 
       (13*t[5])/8 + (17*t[6])/8 - (3*t[7])/4 - t[8]/4 + (23*t[9])/8 + 
       2*t[10] + (23*t[11])/8 - (5*t[12])/8 - (9*t[13])/8 + (71*t[14])/8 - 
       t[15]/48 - t[26] - t[35] + t[45] - 2*t[47] + (5*t[48])/8 + 
       (3*t[49])/4 - (7*t[50])/8 - (11*t[51])/8 + (7*t[52])/8 - (3*t[53])/4 + 
       (7*t[54])/8 + (29*t[60])/4 + (45*t[61])/4 + (29*t[62])/8 + 
       (55*t[63])/8 - (195*t[64])/8 - (113*t[65])/12 - (37*t[66])/4 + t[73] - 
       2*t[75] - 2*t[83] + (5*t[84])/4 + t[85]/4 - 10*t[86] - (19*t[87])/4 - 
       (19*t[88])/8 - (37*t[89])/8 - 12*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[v, w, u]*(-t[1]/2 + (7*t[2])/4 + 
       t[3]/4 + 5*t[4] - (9*t[5])/8 + t[6]/2 - (9*t[7])/4 + (27*t[8])/4 + 
       (13*t[9])/8 + (37*t[10])/4 - (9*t[11])/4 - (7*t[12])/8 - 
       (109*t[13])/72 + (49*t[14])/24 - (127*t[15])/48 + t[21] - t[23] + 
       t[24] - t[35] + t[41]/2 - t[42]/2 - 2*t[45] + 5*t[47] + 2*t[48] + 
       3*t[49] - (5*t[50])/2 + t[51]/4 + (5*t[52])/2 - 3*t[53] + 
       (3*t[54])/2 - t[59]/2 + 2*t[60] + (19*t[61])/2 - (13*t[62])/8 + 
       (29*t[63])/8 + t[64]/4 - (11*t[65])/2 - (97*t[66])/6 - t[69] + 
       6*t[80] - t[81]/2 + t[82]/2 + (5*t[83])/2 + t[84]/4 - t[85]/2 - 
       3*t[86] - (5*t[89])/4 - 12*t[100]) + F1[v, w, u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*((11*t[2])/2 + (9*t[3])/4 + (33*t[5])/4 + 
       (5*t[7])/4 - (3*t[8])/4 + t[9]/4 - (9*t[10])/2 + (5*t[11])/4 + 
       (415*t[13])/72 + (19*t[14])/12 + (67*t[15])/12 + t[19] + t[21] - 
       t[23] - 2*t[27] + 3*t[28] - 2*t[35] + 3*t[39] - t[40] - t[46]/2 - 
       t[47] + (9*t[48])/4 - t[49]/4 + (11*t[50])/4 - t[51] - (11*t[52])/4 + 
       t[53]/4 - (15*t[54])/4 - (5*t[60])/2 + (7*t[61])/2 + t[62]/2 + 
       (15*t[63])/2 - (71*t[64])/4 + 9*t[65] - (7*t[66])/3 - t[69] + 
       2*t[72] - 4*t[75] + t[77] - 2*t[78] - 2*t[79] + 3*t[80] - t[81] - 
       2*t[82] - 3*t[83] + (3*t[84])/2 - 5*t[85] - 4*t[86] - (15*t[89])/4 - 
       4*t[99] - 10*t[100]) + HPL[{0, 1}, 1 - u]*J1[v, w, u]*
      (t[1]/16 - 4*t[2] - (29*t[3])/16 + (91*t[4])/16 - (67*t[5])/64 + 
       (153*t[6])/64 - (99*t[7])/32 - (21*t[8])/32 - (227*t[9])/64 + 
       (105*t[10])/32 + (53*t[11])/64 - (165*t[12])/64 - (311*t[13])/144 + 
       (631*t[14])/96 - (135*t[15])/128 + (5*t[19])/8 - (5*t[21])/8 + 
       (5*t[23])/8 + (3*t[25])/4 - t[26]/8 - (3*t[27])/4 - (13*t[28])/8 + 
       t[31]/8 + (3*t[35])/8 + t[37]/8 + t[38]/8 - (13*t[39])/8 + t[40]/8 + 
       t[45]/2 - t[46]/8 - (3*t[47])/8 + (135*t[48])/64 + 2*t[49] - 
       (49*t[50])/64 + (3*t[51])/16 + (49*t[52])/64 - 2*t[53] + 
       (117*t[54])/64 - t[59]/8 + (117*t[60])/32 + (349*t[61])/32 + 
       (41*t[62])/64 + (871*t[63])/64 + (65*t[64])/64 - (911*t[65])/96 - 
       (673*t[66])/96 + (5*t[69])/8 - t[70]/8 + t[71]/8 + (3*t[72])/4 + 
       (5*t[75])/4 - t[77]/8 - (3*t[78])/4 + 2*t[79] - (11*t[80])/4 + 
       t[81]/8 + t[82]/2 - (3*t[83])/4 + (43*t[84])/32 - (51*t[85])/32 - 
       (45*t[86])/4 - (67*t[87])/32 - (67*t[88])/64 - (153*t[89])/64 - 
       (15*t[99])/2 - (79*t[100])/8) + HPL[{0, 1}, 1 - w]*J1[w, u, v]*
      ((3*t[1])/16 + t[2]/8 - (35*t[3])/16 - (27*t[4])/16 - (107*t[5])/64 + 
       (129*t[6])/64 - (59*t[7])/32 + (67*t[8])/32 + (141*t[9])/64 - 
       t[10]/2 + (405*t[11])/64 + (49*t[12])/64 - (23*t[13])/144 + 
       (263*t[14])/64 + (287*t[15])/384 + t[19]/8 + t[21]/8 - t[23]/8 + 
       (3*t[25])/4 - (13*t[26])/8 + (3*t[27])/4 + (7*t[28])/8 + t[31]/8 - 
       (9*t[35])/8 + t[37]/8 + t[38]/8 + (7*t[39])/8 + (5*t[40])/8 + 
       t[41]/8 - t[42]/8 + t[45]/2 + t[46]/4 - (7*t[47])/8 + (79*t[48])/64 - 
       (19*t[49])/32 + (7*t[50])/64 - (23*t[51])/64 - (7*t[52])/64 + 
       (19*t[53])/32 - (27*t[54])/64 - t[59]/8 + (93*t[60])/32 + 
       (437*t[61])/32 - (215*t[62])/64 + (391*t[63])/64 + (313*t[64])/64 - 
       (307*t[65])/96 + (191*t[66])/96 - t[69]/8 - t[70]/8 + t[71]/8 + 
       (3*t[72])/4 + t[75]/4 - (5*t[77])/8 - (3*t[78])/4 - (3*t[79])/4 + 
       (11*t[80])/4 + t[81]/8 + (7*t[83])/16 + (43*t[84])/32 - 
       (35*t[85])/32 - (15*t[86])/4 + (13*t[87])/32 + (13*t[88])/64 - 
       (49*t[89])/64 - (15*t[99])/2 - (79*t[100])/8) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-5*t[1])/2 + (17*t[2])/4 - (9*t[3])/4 - (59*t[4])/8 - (33*t[5])/8 - 
       t[6]/8 + 4*t[7] - (19*t[8])/2 + (93*t[9])/8 - (11*t[10])/8 + 9*t[11] + 
       (17*t[12])/4 - (49*t[13])/72 + (661*t[14])/96 + (83*t[15])/16 - 
       t[19] - t[21] + t[23] - t[25] + t[26] - 2*t[28] + 2*t[30] - t[35] - 
       t[37] - 2*t[38] - t[39] - t[41] + t[42] - t[43]/2 + t[44] + 4*t[45] - 
       t[46]/2 - 9*t[47] - (21*t[48])/8 + (11*t[49])/8 + (31*t[50])/8 + 
       (21*t[51])/32 - (31*t[52])/8 - (15*t[53])/8 - (55*t[54])/8 + 
       (3*t[59])/2 + (83*t[60])/4 + (53*t[61])/2 - (37*t[62])/16 + 
       (73*t[63])/16 - (95*t[64])/2 - (173*t[65])/12 - (9*t[66])/4 + t[69] + 
       t[70] - t[71] - t[72] + t[73] - t[74] - 4*t[75] - t[76] - 4*t[79] - 
       7*t[80] + t[81] - (7*t[82])/2 + 8*t[83] + (5*t[84])/2 - (5*t[85])/4 - 
       8*t[86] - (93*t[87])/8 - (93*t[88])/16 - (29*t[89])/4 - 20*t[98] + 
       14*t[99] - 9*t[100]) + F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (-t[2]/8 - (13*t[3])/8 - (49*t[4])/8 + (53*t[5])/8 - (53*t[6])/16 + 
       (17*t[7])/8 - (5*t[9])/8 - (25*t[10])/8 - (11*t[11])/2 - (5*t[12])/2 + 
       (461*t[13])/288 - (13*t[14])/24 + (89*t[15])/16 + t[25] + t[27] - 
       t[28] - t[29] + t[30] - t[31] + t[32]/2 - t[33]/2 + t[36]/2 - t[37] - 
       t[38] - t[39]/2 - (3*t[40])/2 - t[41]/4 + t[42]/4 + (5*t[43])/2 - 
       t[44] + (15*t[45])/8 + (3*t[46])/4 - (13*t[47])/4 + (17*t[48])/8 - 
       (21*t[49])/8 - (3*t[50])/8 + (9*t[51])/8 + (3*t[52])/8 + 
       (21*t[53])/8 - (3*t[54])/8 + (5*t[59])/4 + 6*t[60] + (93*t[61])/8 + 
       (241*t[62])/16 - (77*t[63])/16 - (77*t[64])/16 - (39*t[66])/4 + 
       t[70] - t[71] - t[74] + 2*t[75] - 2*t[76] + t[77]/2 + 2*t[78] - 
       3*t[79] + (11*t[80])/2 - t[81] + 5*t[82] - (3*t[83])/2 + (3*t[84])/2 - 
       (7*t[85])/2 - (15*t[86])/4 + t[87]/2 + t[88]/4 + t[89]/2 - 20*t[98] + 
       14*t[99] - 9*t[100]) + H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      ((3*t[1])/4 + (3*t[2])/2 + (5*t[3])/8 + (31*t[4])/4 + (7*t[5])/8 + 
       (25*t[6])/8 + (11*t[7])/4 + (17*t[8])/4 + (17*t[9])/8 + t[10]/2 - 
       (11*t[11])/4 - (27*t[12])/8 - (121*t[13])/144 + 4*t[14] + 
       (3*t[15])/2 - (3*t[26])/2 + t[28] + (3*t[31])/2 - 3*t[35] - t[37] + 
       (3*t[38])/2 + t[39] - t[41]/4 + t[42]/4 - 2*t[46] - t[47]/2 + 
       2*t[49] - (3*t[50])/4 + (7*t[51])/8 + (3*t[52])/4 - 2*t[53] + t[54] - 
       (3*t[59])/2 - (11*t[60])/4 + (19*t[61])/4 + (17*t[62])/8 + 
       (87*t[63])/8 - (91*t[64])/8 + (3*t[65])/4 - (19*t[66])/4 - 
       (3*t[74])/2 + (3*t[75])/2 + 2*t[78] - 2*t[79] + 2*t[80] + 
       (3*t[81])/2 - t[82]/2 - (7*t[83])/4 + (3*t[84])/4 + (3*t[85])/4 - 
       2*t[86] - (13*t[87])/4 - (13*t[88])/8 - (13*t[89])/8 + 8*t[99] - 
       8*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*((3*t[1])/4 + (9*t[2])/2 - (41*t[3])/8 + (11*t[4])/4 - 
       (525*t[5])/32 - (125*t[6])/16 + (133*t[7])/16 - (201*t[8])/16 + 
       (285*t[9])/32 - (99*t[10])/16 + (249*t[11])/16 + (225*t[12])/32 + 
       (2621*t[13])/288 + (255*t[14])/32 - (751*t[15])/576 - t[25] + t[26] - 
       2*t[28] - (9*t[29])/4 + 2*t[30] + t[34]/2 + 2*t[35] - t[36] - 
       2*t[37] - t[39] + (3*t[43])/8 + 3*t[44] - (3*t[45])/4 + 2*t[46] + 
       (3*t[47])/2 - (79*t[48])/8 - t[49] + (41*t[50])/8 - t[51]/2 - 
       (41*t[52])/8 + t[53] - (15*t[54])/2 + t[59]/4 + (67*t[60])/8 + 
       (117*t[61])/8 - (217*t[62])/16 - (179*t[63])/16 + (145*t[64])/16 + 
       (5*t[65])/6 - (135*t[66])/4 - t[69] - t[70] + t[71] + 2*t[72] + 
       4*t[73] + t[74] + 3*t[75] + 2*t[76] - t[77]/2 + (3*t[78])/2 - t[79] + 
       6*t[80] + 6*t[81] - 9*t[82] + 7*t[83] + (35*t[84])/8 + (13*t[85])/8 + 
       25*t[86] - (43*t[87])/8 - (43*t[88])/16 - (145*t[89])/16 - 2*t[98] + 
       8*t[99] - 7*t[100]) + H1[u, v, w]*HPL[{0, 1}, 1 - w]*
      ((9*t[1])/4 + t[2] + t[3]/4 + (47*t[4])/4 - t[5]/16 + (47*t[6])/16 + 
       (31*t[7])/8 + (25*t[8])/8 + (63*t[9])/16 - 2*t[10] - (13*t[11])/16 - 
       (125*t[12])/16 + (5*t[13])/6 + (81*t[14])/16 + (77*t[15])/96 - 
       t[19]/2 - t[21]/2 + t[23]/2 + t[25] - (3*t[26])/2 - t[27] + t[28]/2 + 
       (3*t[31])/2 + t[35]/2 + (3*t[37])/2 + (3*t[38])/2 + t[39]/2 - 
       t[40]/2 - t[41]/2 + t[42]/2 + t[46] - t[47]/2 - (15*t[48])/16 + 
       (23*t[49])/8 - (23*t[50])/16 - (45*t[51])/16 + (23*t[52])/16 - 
       (23*t[53])/8 + (27*t[54])/16 - (3*t[59])/2 + (43*t[60])/8 + 
       (27*t[61])/8 - (29*t[62])/16 + (61*t[63])/16 - (73*t[64])/16 - 
       (77*t[65])/24 - (133*t[66])/8 + t[69]/2 - (3*t[70])/2 + (3*t[71])/2 - 
       t[72] + 2*t[74] + 5*t[75] + t[77]/2 + 3*t[78] + 5*t[79] - 5*t[80] + 
       t[81]/2 - t[82] - (15*t[83])/4 + t[84]/8 + (19*t[85])/8 - 3*t[86] - 
       (69*t[87])/8 - (69*t[88])/16 + (17*t[89])/16 + 14*t[99] - 
       (13*t[100])/2) + H1[u, v, w]*HPL[{0, 1}, 1 - u]*
      ((3*t[1])/4 + 2*t[2] + t[3]/4 + (11*t[4])/4 - t[5]/16 + (7*t[6])/16 - 
       (9*t[7])/8 + (9*t[8])/8 + (63*t[9])/16 + (121*t[10])/8 - 
       (77*t[11])/16 - (19*t[12])/16 + (43*t[13])/36 + (49*t[14])/12 + 
       (145*t[15])/96 - t[19]/2 + t[21]/2 - t[23]/2 - t[25] + t[26]/2 + 
       t[27] + (5*t[28])/2 + (3*t[31])/2 - (7*t[35])/2 + (3*t[37])/2 + 
       (3*t[38])/2 + (5*t[39])/2 - t[40]/2 + (3*t[46])/2 - t[47]/2 - 
       (15*t[48])/16 + t[49]/4 - (23*t[50])/16 - t[51]/8 + (23*t[52])/16 - 
       t[53]/4 + (27*t[54])/16 - (3*t[59])/2 - (5*t[60])/8 + (19*t[61])/8 + 
       (151*t[62])/16 + (137*t[63])/16 - (73*t[64])/16 + (67*t[65])/24 - 
       (251*t[66])/24 - t[69]/2 - (3*t[70])/2 + (3*t[71])/2 - t[72] + 
       2*t[74] + 3*t[75] + t[77]/2 + 3*t[78] + 4*t[79] + 3*t[80] + t[81]/2 + 
       t[82] - 5*t[83] + t[84]/8 + (19*t[85])/8 - 19*t[86] - (37*t[87])/8 - 
       (37*t[88])/16 + (49*t[89])/16 + 14*t[99] - (13*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[w, u, v]*((-17*t[3])/32 + 
       (3*t[4])/4 - (9*t[5])/64 + (101*t[6])/64 - (15*t[7])/32 - 
       (21*t[8])/32 + (43*t[9])/64 - (45*t[10])/32 + (83*t[11])/64 + 
       t[12]/64 - (209*t[13])/576 + (257*t[14])/96 + (215*t[15])/384 - 
       (3*t[26])/4 - (7*t[35])/8 - t[37]/8 + (5*t[45])/8 - t[46]/8 - 
       (5*t[47])/4 + (25*t[48])/64 - t[49]/16 - (3*t[50])/64 + t[51]/16 + 
       (3*t[52])/64 + t[53]/16 + (3*t[54])/64 + (89*t[60])/32 + 
       (125*t[61])/32 + (237*t[62])/64 + (219*t[63])/64 - (751*t[64])/64 - 
       (245*t[65])/96 - (13*t[66])/32 - (7*t[74])/8 - t[75]/8 - t[78]/8 + 
       t[79]/2 + t[80]/2 - t[81]/2 + (5*t[82])/8 - (19*t[83])/16 + 
       (17*t[84])/32 - (11*t[85])/32 - (21*t[86])/4 - (43*t[87])/32 - 
       (43*t[88])/64 - (97*t[89])/64 - (3*t[99])/4 - (51*t[100])/8) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[v, w, u]*(t[1]/8 - (17*t[3])/32 + 
       (11*t[4])/4 - (37*t[5])/64 - (3*t[6])/64 + t[7]/32 + (67*t[8])/32 + 
       (71*t[9])/64 + (21*t[10])/4 + (43*t[11])/64 - (13*t[12])/64 - 
       (781*t[13])/576 + (187*t[14])/64 - (41*t[15])/384 - t[28]/8 - 
       t[39]/8 + t[40]/8 - t[45]/8 + t[46]/4 + t[47]/4 + (49*t[48])/64 + 
       (43*t[49])/32 - (27*t[50])/64 - (3*t[51])/64 + (27*t[52])/64 - 
       (43*t[53])/32 + (27*t[54])/64 + (89*t[60])/32 + (133*t[61])/32 - 
       (63*t[62])/64 + (151*t[63])/64 - (343*t[64])/64 - (55*t[65])/32 - 
       (659*t[66])/96 - (7*t[74])/8 - t[75]/4 - t[77]/8 - t[78]/8 - t[79]/4 + 
       t[80]/4 - t[81]/2 + t[82]/2 + (7*t[83])/8 + (17*t[84])/32 - 
       (11*t[85])/32 + (5*t[86])/4 - (43*t[87])/32 - (43*t[88])/64 - 
       (57*t[89])/64 - (3*t[99])/4 - (51*t[100])/8) + 
     G[u, v, w]*HPL[{1}, 1 - v]^2*(-t[3]/2 + t[4] - t[5] + (9*t[6])/8 - 
       (3*t[7])/4 + t[8]/4 + (3*t[9])/2 - t[10]/8 + (19*t[11])/8 - 
       (7*t[12])/8 - (43*t[13])/36 + (127*t[14])/48 - (7*t[15])/24 + 
       t[25]/2 - t[26]/2 - t[35]/2 - t[37]/2 + (3*t[48])/8 + (5*t[49])/8 - 
       (5*t[50])/8 - (5*t[51])/16 + (5*t[52])/8 - (5*t[53])/8 + (5*t[54])/8 - 
       t[59]/4 + (9*t[60])/4 + (13*t[61])/2 - (11*t[62])/8 + (19*t[63])/8 - 
       (3*t[64])/8 - (5*t[65])/3 - (25*t[66])/6 - t[69]/2 + t[70]/2 - 
       t[71]/2 + t[73]/2 + t[74]/2 - (3*t[75])/2 + t[80] + t[81]/2 - 
       t[82]/2 + t[83]/4 + t[84]/2 + t[85]/4 - 5*t[86] - (5*t[87])/4 - 
       (5*t[88])/8 - (9*t[89])/8 - 6*t[100]) + F1[v, w, u]*HPL[{1}, 1 - w]^3*
      ((-7*t[2])/4 - (4*t[3])/3 + (15*t[4])/8 - (3*t[5])/2 - t[6]/12 + 
       (11*t[7])/12 - (4*t[8])/3 + (23*t[9])/12 + (25*t[10])/16 + 
       (85*t[11])/24 + (47*t[12])/48 + (29*t[13])/12 + (1129*t[14])/288 + 
       (29*t[15])/48 - t[18]/6 + t[35]/6 - t[44] - (29*t[48])/12 - 
       (5*t[49])/16 + (11*t[50])/12 - (3*t[51])/32 - (11*t[52])/12 + 
       (5*t[53])/16 - (7*t[54])/24 + t[59]/2 + (97*t[60])/24 + (43*t[61])/8 - 
       (119*t[62])/48 + (163*t[63])/48 - (257*t[64])/48 - (23*t[65])/4 - 
       (37*t[66])/6 + t[69]/2 - t[70]/3 + t[71]/3 + t[73]/2 - t[74]/3 - 
       (3*t[75])/2 + t[76]/2 - t[78] - t[79]/3 + (3*t[81])/4 - (3*t[82])/4 + 
       (7*t[83])/6 + t[84]/4 + (3*t[85])/8 + t[86]/3 - (73*t[87])/24 - 
       (73*t[88])/48 - (33*t[89])/16 + 3*t[98] - 6*t[99] - 6*t[100]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]^3*((3*t[3])/4 - (17*t[5])/16 - (5*t[6])/8 + 
       (5*t[7])/8 + (9*t[8])/8 + (5*t[9])/16 - (33*t[10])/8 + (5*t[11])/2 + 
       (17*t[12])/16 + (23*t[13])/72 - (113*t[14])/48 - (113*t[15])/96 - 
       (3*t[28])/2 - t[31]/2 + t[35] - t[39] + t[40]/2 - t[45] + 2*t[47] - 
       (5*t[48])/8 - t[50]/8 + t[52]/8 + t[54]/8 - (13*t[60])/4 - 2*t[61] - 
       3*t[62] - (5*t[63])/2 + (45*t[64])/4 - t[65]/2 - t[66]/3 + t[72]/2 + 
       t[73]/2 - (5*t[75])/2 + t[76]/2 - t[77]/2 - 2*t[78] + (3*t[79])/2 + 
       2*t[80] + (23*t[83])/6 - (3*t[84])/4 + (3*t[85])/4 + (15*t[86])/2 + 
       (7*t[87])/4 + (7*t[88])/8 - t[89] + 3*t[98] - 6*t[99] - 6*t[100]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((11*t[2])/4 + (9*t[3])/8 + (33*t[5])/8 + (5*t[7])/8 - (3*t[8])/8 + 
       t[9]/8 - (9*t[10])/4 + (5*t[11])/8 + (415*t[13])/144 + (19*t[14])/24 + 
       (67*t[15])/24 + t[19]/2 + t[21]/2 - t[23]/2 - t[27] + (3*t[28])/2 - 
       t[35] + (3*t[39])/2 - t[40]/2 - t[46]/4 - t[47]/2 + (9*t[48])/8 - 
       t[49]/8 + (11*t[50])/8 - t[51]/2 - (11*t[52])/8 + t[53]/8 - 
       (15*t[54])/8 - (5*t[60])/4 + (7*t[61])/4 + t[62]/4 + (15*t[63])/4 - 
       (71*t[64])/8 + (9*t[65])/2 - (7*t[66])/6 - t[69]/2 + t[72] - 2*t[75] + 
       t[77]/2 - t[78] - t[79] + (3*t[80])/2 - t[81]/2 - t[82] - 
       (3*t[83])/2 + (3*t[84])/4 - (5*t[85])/2 - 2*t[86] - (15*t[89])/8 - 
       2*t[99] - 5*t[100]) + F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      ((-3*t[2])/4 - (15*t[3])/4 + (7*t[4])/2 - (7*t[5])/8 + (13*t[6])/4 + 
       (13*t[7])/4 + (9*t[8])/2 + (71*t[9])/8 - (15*t[10])/2 + (25*t[11])/4 + 
       (19*t[12])/8 + (115*t[13])/72 + (293*t[14])/24 + (263*t[15])/144 - 
       t[24] + (3*t[28])/2 + t[39] - 2*t[44] + t[46]/2 + t[48] - 
       (3*t[49])/4 + t[50]/2 - t[51] - t[52]/2 + (3*t[53])/4 - t[54] + 
       9*t[60] + (25*t[61])/2 + t[62]/2 - t[63] - (69*t[64])/4 - 
       (43*t[65])/6 - (13*t[66])/2 - (3*t[73])/2 + 7*t[75] + 3*t[78] - 
       t[79] - t[80] + t[81] - t[82] - (3*t[83])/2 + (3*t[84])/2 - 
       (3*t[85])/2 - 3*t[86] - (13*t[87])/2 - (13*t[88])/4 - (13*t[89])/4 - 
       2*t[98] + 6*t[99] - 5*t[100]) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*((43*t[2])/8 + t[3] - 2*t[4] + (21*t[5])/4 - 
       (5*t[6])/8 + (11*t[7])/8 + (5*t[8])/8 - (13*t[9])/8 - (27*t[10])/8 + 
       (5*t[11])/8 + (7*t[12])/8 - (35*t[13])/72 - (14*t[14])/3 - 
       (49*t[15])/48 - t[23]/2 - t[24]/2 + t[30]/2 - t[31]/2 - t[35]/2 + 
       t[41]/4 - t[42]/4 + t[44] - t[45] - t[46]/2 + 3*t[47] + (11*t[48])/8 + 
       t[49]/2 + (7*t[50])/8 + (3*t[51])/8 - (7*t[52])/8 - t[53]/2 - 
       (15*t[54])/8 - (3*t[59])/4 - 5*t[60] + (7*t[61])/4 + (9*t[62])/4 - 
       (23*t[63])/4 + 13*t[64] + (37*t[65])/12 + (35*t[66])/4 - (3*t[69])/2 + 
       t[70] - t[71] + t[73]/2 + t[74]/2 + 3*t[75] + t[76] + 2*t[78] + 
       (3*t[79])/2 + 4*t[80] - t[81]/2 + t[82]/2 - t[83]/2 - t[84]/4 - 
       (5*t[85])/2 + (11*t[86])/2 + 4*t[87] + 2*t[88] - t[89] - 2*t[98] + 
       6*t[99] - 5*t[100]) + F1[u, v, w]*HPL[{1}, 1 - w]^3*
      (-t[1]/4 - t[2]/8 - (3*t[3])/8 + 5*t[4] - (13*t[5])/16 + (2*t[6])/3 - 
       (9*t[7])/4 - t[8] - t[9]/16 + (7*t[10])/8 + (3*t[11])/2 + 
       (5*t[12])/16 + (23*t[13])/72 + (41*t[14])/24 + t[15]/32 - t[37]/2 + 
       t[41]/4 - t[42]/3 - t[43]/2 - t[47]/2 + (5*t[49])/8 - (5*t[51])/16 - 
       (5*t[53])/8 - t[54]/4 + t[59]/3 + (11*t[60])/4 + 5*t[61] + 
       (43*t[62])/8 + (53*t[63])/8 - (25*t[64])/2 - (65*t[65])/24 - 
       (15*t[66])/8 + t[69]/2 - (3*t[79])/2 - 3*t[80] + t[81]/4 - t[82]/4 - 
       (3*t[83])/4 + (5*t[84])/8 + t[85]/4 - (21*t[86])/2 - 2*t[87] - t[88] - 
       (7*t[89])/4 - (9*t[100])/2) + F1[w, u, v]*HPL[{1}, 1 - u]^3*
      ((-3*t[5])/16 + (3*t[7])/8 + (3*t[8])/8 + (3*t[9])/16 - t[10]/8 + 
       (3*t[11])/8 - t[12]/16 - t[13]/6 + (7*t[14])/16 - (11*t[15])/96 + 
       t[36]/2 + t[49]/4 - t[51]/8 - t[53]/4 - t[60] + (5*t[61])/4 - 
       (15*t[62])/8 + (3*t[63])/8 + (7*t[64])/8 + t[65]/4 - (13*t[66])/12 + 
       t[69]/2 + t[73]/2 - (5*t[75])/2 + t[79]/2 + (13*t[83])/4 + 
       (3*t[86])/2 + t[87] + t[88]/2 - (5*t[89])/8 - (9*t[100])/2) + 
     A10[v, w, u]*HPL[{1}, 1 - u]*(t[3] + (3*t[4])/2 + t[5]/2 + (19*t[6])/4 + 
       2*t[7] + (15*t[8])/2 - (3*t[9])/2 - (29*t[10])/4 + (13*t[11])/4 - 
       (3*t[12])/4 - (13*t[14])/24 - (4*t[15])/3 - 2*t[27] - t[46] + 
       (7*t[48])/4 + (7*t[49])/4 - t[50]/4 - t[51]/8 + t[52]/4 - 
       (7*t[53])/4 - (5*t[54])/4 - (3*t[60])/2 + (9*t[61])/2 - (25*t[62])/4 + 
       (5*t[63])/4 + (19*t[64])/4 - 3*t[65] - 4*t[66] + t[81] + t[82] + 
       2*t[83] - (3*t[85])/2 + 8*t[86] + (3*t[87])/2 + (3*t[88])/4 - 
       (7*t[89])/4 - 4*t[100]) + C27[u, v, w]*((-3*t[2])/2 + t[3]/2 + 
       13*t[4] - (7*t[5])/4 + (21*t[6])/8 + t[7]/2 + (31*t[8])/2 + 
       (15*t[9])/4 - t[10] + (105*t[11])/8 + t[12] + (11*t[13])/3 - t[14]/6 - 
       (47*t[15])/24 - t[16] + t[25] - t[26] - 2*t[36] + t[39] + t[46]/2 + 
       (17*t[48])/8 + 3*t[49] - (7*t[50])/8 - (9*t[51])/8 + (7*t[52])/8 - 
       3*t[53] - (49*t[54])/8 + (23*t[60])/4 + (5*t[61])/2 + (13*t[62])/8 - 
       t[63]/8 - (21*t[64])/4 - (22*t[65])/3 - 12*t[66] + t[68] - t[81]/2 + 
       (9*t[82])/2 + t[84]/2 + (17*t[85])/4 - (21*t[87])/4 - (21*t[88])/8 + 
       (5*t[89])/4 - 4*t[100]) + A10[w, u, v]*HPL[{1}, 1 - w]*
      ((3*t[2])/2 - t[3] - 13*t[4] + t[5] - (15*t[6])/8 - t[7] - 15*t[8] - 
       (5*t[9])/2 + 2*t[10] - (87*t[11])/8 + t[12]/4 - (47*t[13])/12 - 
       (13*t[14])/12 + (7*t[15])/3 + t[16] - t[25] + t[26] + 2*t[27] + 
       2*t[28] + 2*t[36] + t[39] - t[46]/2 - (11*t[48])/8 - (7*t[49])/2 + 
       (5*t[50])/8 + (11*t[51])/8 - (5*t[52])/8 + (7*t[53])/2 + 
       (51*t[54])/8 - (23*t[60])/4 + (15*t[61])/2 - (9*t[62])/8 + 
       (61*t[63])/8 + (19*t[64])/4 + (25*t[65])/6 + (7*t[66])/2 - t[68] + 
       (3*t[81])/2 - (3*t[82])/2 - t[83] - (25*t[85])/4 - 4*t[86] + 
       (25*t[87])/4 + (25*t[88])/8 - (11*t[89])/4 + t[93] - 4*t[100]) + 
     A10[v, w, u]*HPL[{1}, 1 - w]*((9*t[2])/4 - t[3]/2 + 2*t[4] + 
       (77*t[5])/8 + 2*t[6] - t[7]/2 - 4*t[8] - (23*t[9])/8 - 3*t[10] - 
       (5*t[11])/4 - (3*t[12])/8 - (13*t[13])/6 - (61*t[14])/24 - t[15]/48 + 
       t[17]/2 - 2*t[24] - 2*t[27] - 3*t[33] + 2*t[39] - t[46] + 
       (7*t[48])/2 + (3*t[49])/2 + (7*t[50])/2 - (7*t[52])/2 - (3*t[53])/2 - 
       (9*t[54])/2 - t[56] - (23*t[60])/4 + (15*t[61])/2 - (9*t[62])/8 + 
       (61*t[63])/8 + (19*t[64])/4 + (25*t[65])/6 + (7*t[66])/2 - t[68] + 
       (3*t[81])/2 - (3*t[82])/2 - t[83] - (25*t[85])/4 - 4*t[86] + 
       (25*t[87])/4 + (25*t[88])/8 - (11*t[89])/4 + t[93] - 4*t[100]) + 
     A10[u, v, w]*HPL[{1}, 1 - u]*(-t[3] + t[4]/2 - (3*t[5])/4 - 
       (23*t[6])/8 - t[7] - (13*t[8])/2 + (7*t[9])/4 + (35*t[10])/4 - 
       (15*t[11])/8 + (15*t[12])/4 + (5*t[13])/4 + (17*t[14])/8 + 
       (53*t[15])/24 + t[25] - t[26] - t[39] + (3*t[46])/2 - (11*t[48])/8 - 
       (15*t[49])/4 + (5*t[50])/8 + (3*t[51])/2 - (5*t[52])/8 + 
       (15*t[53])/4 + (39*t[54])/8 - (17*t[60])/4 + 8*t[61] - (7*t[62])/8 + 
       (35*t[63])/8 + (7*t[64])/2 + (5*t[65])/2 + t[66]/6 + t[68] + t[81]/2 - 
       (5*t[82])/2 - t[83] - (19*t[85])/4 - 4*t[86] + (19*t[87])/4 + 
       (19*t[88])/8 - (5*t[89])/2 + t[93] - 4*t[100]) + 
     C27[w, u, v]*((3*t[2])/2 - (7*t[4])/4 + (83*t[5])/8 + 2*t[6] + t[7]/2 - 
       3*t[8] - (83*t[9])/8 - (93*t[10])/8 - 8*t[11] - 8*t[12] - 
       (23*t[13])/6 - (11*t[14])/48 + (125*t[15])/48 + t[16] + t[25] - 
       t[26] - 3*t[27] - t[33] + 2*t[36] - (5*t[46])/2 + 4*t[48] + 
       (25*t[49])/8 + 3*t[50] - (7*t[51])/16 - 3*t[52] - (25*t[53])/8 - 
       (13*t[54])/4 - (31*t[60])/4 + (3*t[61])/2 - (19*t[62])/8 - 
       (65*t[63])/8 + (19*t[64])/4 + (29*t[65])/6 + (67*t[66])/6 - t[67] - 
       3*t[68] - 2*t[74] + t[81]/2 - (5*t[82])/2 - t[84]/2 - (29*t[85])/4 + 
       (33*t[87])/4 + (33*t[88])/8 + (5*t[89])/4 - t[92] + t[93] + t[94] - 
       4*t[100]) + F1[u, v, w]*HPL[{0, 0, 1}, 1 - v]*
      (-4*t[1] + 6*t[2] - (5*t[3])/8 + 9*t[4] + (101*t[5])/8 + (159*t[6])/8 - 
       (179*t[7])/8 + (73*t[8])/8 - 16*t[9] + (125*t[10])/8 - (61*t[11])/4 - 
       (17*t[12])/8 - (293*t[13])/48 + (215*t[14])/12 + (1493*t[15])/144 - 
       2*t[18] + 4*t[20] + 2*t[21] - 2*t[23] + 6*t[28] + 2*t[29] - t[30]/2 + 
       4*t[31] - t[32] + 5*t[33] - 4*t[35] + t[36] + t[37] - (3*t[38])/2 + 
       2*t[39] - (7*t[40])/2 + (3*t[41])/2 - (5*t[42])/2 + (15*t[43])/8 - 
       (5*t[44])/2 - (13*t[45])/4 + t[46]/2 - 6*t[47] + 2*t[48] + 
       (7*t[49])/2 - (9*t[50])/2 - (29*t[51])/8 + (23*t[52])/2 - 
       (7*t[53])/2 + (25*t[54])/4 - t[58] + (7*t[59])/4 + (29*t[60])/4 + 
       (29*t[61])/4 + (469*t[62])/8 + (471*t[63])/8 - (279*t[64])/4 - 
       (635*t[65])/12 + (173*t[66])/4 + 4*t[70] - 4*t[71] - 2*t[72] - t[73] + 
       2*t[74] + 13*t[75] - t[76] + 2*t[77] + (11*t[78])/2 - 8*t[79] - 
       9*t[80] - t[82] - 5*t[83] - (5*t[84])/4 - 59*t[86] - 21*t[87] - 
       (21*t[88])/2 - (173*t[89])/8 + t[97]/2 - 4*t[98] - 4*t[100]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - v]*(2*t[1] - (5*t[2])/4 + (55*t[3])/8 + 
       14*t[4] + (125*t[5])/8 - (83*t[6])/8 - (9*t[7])/2 - (23*t[8])/4 - 
       (185*t[9])/8 + (83*t[10])/8 + (31*t[11])/8 - 7*t[12] + (29*t[13])/12 - 
       (37*t[14])/6 - (4*t[15])/9 - t[26] + 2*t[27] - 2*t[28] + t[29]/2 - 
       (5*t[30])/2 - 2*t[31] - t[34] + 2*t[35] - 3*t[36] - 2*t[37] + 
       (3*t[38])/2 + (7*t[40])/4 + t[41]/2 - t[42]/2 - t[43] - (11*t[44])/4 + 
       t[45] + (3*t[46])/2 - 2*t[47] - (11*t[48])/8 + (45*t[49])/8 - 
       (39*t[50])/8 - (35*t[51])/8 + (7*t[52])/8 - (73*t[53])/8 - 
       (93*t[54])/8 + t[59]/4 + (9*t[60])/4 + (21*t[61])/2 - (65*t[62])/4 - 
       (121*t[63])/4 + (7*t[64])/4 - (55*t[65])/3 + (27*t[66])/4 + 2*t[70] - 
       2*t[71] + 4*t[72] + t[73] + t[74] - t[75] + (5*t[76])/2 - 
       (5*t[78])/2 + 2*t[79] + 2*t[80] - 7*t[81] + 8*t[82] + 12*t[83] - 
       (13*t[84])/2 - 7*t[85] + 2*t[86] + t[87]/2 + (39*t[88])/4 - 
       (69*t[89])/8 - 2*t[95] + t[96] + (7*t[97])/2 - 4*t[98] - 4*t[100]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((3*t[1])/4 + (7*t[2])/2 - (9*t[3])/4 + (17*t[4])/4 + t[5]/8 - 
       (7*t[6])/8 + (177*t[7])/16 + (183*t[8])/16 + (327*t[9])/16 - 
       (253*t[10])/16 + (211*t[11])/16 - (7*t[12])/8 + (2215*t[13])/288 + 
       (731*t[14])/48 - (157*t[15])/32 + t[18] + 3*t[21] - 3*t[23] + t[24] + 
       3*t[28] + t[30] - t[32] + t[33] + t[34] - 2*t[35] + t[39] + t[40] + 
       (5*t[41])/4 - (3*t[42])/4 - (31*t[43])/16 - (3*t[44])/2 - 
       (17*t[45])/8 - t[46]/4 + (25*t[47])/4 + (11*t[48])/16 + (41*t[49])/8 - 
       (13*t[50])/16 - (7*t[51])/8 - (3*t[52])/16 - (41*t[53])/8 - 
       (69*t[54])/16 + t[58]/2 - t[59] + (141*t[60])/8 + (119*t[61])/4 - 
       (131*t[62])/16 - (309*t[63])/16 - (31*t[64])/8 + (17*t[65])/4 - 
       (211*t[66])/6 - 2*t[69] - 2*t[70] + 2*t[71] + t[72] + 6*t[75] + 
       (5*t[76])/2 - t[77] + (3*t[78])/2 + t[79] + 9*t[80] + (3*t[81])/2 + 
       t[82]/2 + 6*t[83] + (5*t[84])/2 + 4*t[85] + (19*t[86])/2 - 
       (113*t[87])/8 - (113*t[88])/16 + (3*t[89])/16 + 8*t[98] - 6*t[99] - 
       4*t[100]) + F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((3*t[1])/4 + (33*t[2])/8 - (5*t[3])/2 - 7*t[4] - t[5]/2 + 
       (43*t[6])/16 - t[7]/16 + (79*t[8])/16 + (123*t[9])/16 - 
       (329*t[10])/16 + (37*t[11])/16 + 2*t[12] - (529*t[13])/72 + 
       (845*t[14])/96 + (127*t[15])/96 - t[22]/2 - t[24] - 2*t[25] + 
       (3*t[26])/2 - t[27] + 2*t[28] + t[30] + t[31] - t[32]/2 + t[33]/2 - 
       t[37]/2 + t[38]/2 + t[39] - t[40]/2 + t[41]/4 - t[42]/4 + 
       (7*t[43])/16 - (7*t[45])/2 + (7*t[46])/4 + (9*t[47])/2 + 
       (23*t[48])/16 + (13*t[49])/8 - (25*t[50])/16 - (17*t[51])/32 + 
       (41*t[52])/16 + (9*t[53])/8 + (71*t[54])/16 - t[57] - t[59]/2 - 
       (45*t[60])/8 + (77*t[61])/8 + (515*t[62])/16 + (233*t[63])/16 - 
       (219*t[64])/16 - (89*t[65])/8 + (305*t[66])/24 - t[70] + t[71] - 
       2*t[72] + 2*t[73] - t[74]/2 + 6*t[75] + 3*t[76] + 2*t[78] - 2*t[79] + 
       4*t[80] + t[81]/4 + t[82]/2 - (5*t[83])/2 - (19*t[84])/8 - t[85] - 
       (77*t[86])/4 - (3*t[87])/4 - (39*t[88])/8 - (117*t[89])/16 + t[95] + 
       t[96] - t[97]/2 + 8*t[98] - 6*t[99] - 4*t[100]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*((7*t[2])/2 + t[3] + 
       (67*t[4])/8 + (17*t[5])/4 + (3*t[6])/2 + (31*t[7])/4 + (15*t[8])/4 + 
       3*t[9] - (145*t[10])/16 - t[11]/4 - (141*t[12])/16 + (395*t[13])/72 + 
       (163*t[14])/96 + (45*t[15])/16 - t[19] - t[21] + t[23] + 2*t[25] - 
       2*t[26] - 2*t[27] - t[28] - t[30] + t[31] + 2*t[35] - t[39] - t[40] - 
       t[41] + t[42] + t[43]/2 - 2*t[46] - t[47] + (7*t[48])/4 + 
       (121*t[49])/16 - t[50]/4 - (71*t[51])/32 + t[52]/4 - (125*t[53])/16 - 
       (21*t[54])/8 + (79*t[60])/8 + (49*t[61])/8 - (99*t[62])/16 + 
       (83*t[63])/16 - (319*t[64])/16 + (5*t[65])/8 - (407*t[66])/24 + 
       t[69] - 3*t[72] + 2*t[73] - 2*t[74] - 2*t[75] - t[76] + t[77] + 
       6*t[78] + t[79] - 5*t[80] + t[81]/2 - (3*t[82])/2 + (5*t[83])/2 + 
       (7*t[84])/8 + (5*t[85])/8 + 7*t[86] - (33*t[87])/8 - (33*t[88])/16 - 
       (31*t[89])/16 - 6*t[98] + 26*t[99] - 4*t[100]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*(-t[1]/2 + (11*t[2])/2 + 
       (39*t[3])/8 - (3*t[4])/4 + (21*t[5])/16 - (29*t[6])/8 - t[7]/8 - 
       (29*t[8])/8 + (131*t[9])/16 - (11*t[10])/4 - (45*t[11])/4 + 
       (65*t[12])/16 + (235*t[13])/72 - (20*t[14])/3 - (15*t[15])/32 - 
       t[19] + t[21] - t[23] + 2*t[27] + 3*t[28] - t[30] - 2*t[35] + 
       3*t[39] - t[40] - t[43] - (9*t[45])/4 + (3*t[46])/2 + (7*t[47])/2 + 
       (9*t[48])/8 - (27*t[49])/8 - (7*t[50])/8 - (7*t[51])/16 + 
       (7*t[52])/8 + (27*t[53])/8 - (3*t[54])/8 - t[59]/2 - t[60] - 
       (31*t[61])/2 + (181*t[62])/8 - (65*t[63])/8 - (69*t[64])/8 + 
       (43*t[65])/3 + (3*t[66])/2 - t[69] - 2*t[72] + t[73] - 2*t[74] - 
       t[75] + 2*t[78] - 4*t[79] + (15*t[80])/2 - t[81]/2 + (17*t[82])/4 - 
       9*t[83] - (3*t[84])/4 + t[85] - (15*t[86])/2 + t[87]/2 + t[88]/4 + 
       (7*t[89])/4 - 6*t[98] + 26*t[99] - 4*t[100]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (-t[1]/4 + 3*t[2] + (5*t[3])/8 - (3*t[4])/2 + (7*t[5])/16 - t[6]/4 + 
       t[7]/8 - (15*t[8])/8 + (33*t[9])/16 - 7*t[10] + (13*t[11])/2 + 
       (19*t[12])/16 + (85*t[13])/48 + t[14]/3 + (47*t[15])/32 + t[26]/2 - 
       t[31]/2 + t[35] + t[36]/2 - t[37] - t[38]/2 - t[41]/4 + t[42]/4 + 
       t[46]/2 - t[47]/2 - (7*t[48])/8 - (3*t[49])/8 + (11*t[50])/8 - 
       (9*t[51])/16 - (11*t[52])/8 + (3*t[53])/8 - (15*t[54])/8 + t[59]/2 + 
       t[60] + (7*t[61])/4 - (15*t[62])/8 - (37*t[63])/8 - (47*t[64])/8 - 
       t[65]/9 - (5*t[66])/3 + t[69]/2 + t[73]/2 + t[74]/2 - 4*t[75] - 
       t[78] + t[79]/2 - t[81] + (11*t[83])/2 - t[84]/4 - t[85]/2 + 
       (3*t[86])/2 + 2*t[87] + t[88] - (15*t[89])/8 - 2*t[99] - 
       (19*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*
      (-t[1]/2 - (7*t[2])/8 - t[3]/4 + (17*t[4])/12 - (3*t[5])/16 - 
       (13*t[6])/12 - 2*t[7] - (11*t[8])/4 - (37*t[9])/48 + (61*t[10])/24 + 
       (23*t[11])/24 + (49*t[12])/48 + (367*t[13])/432 + (83*t[14])/36 - 
       (119*t[15])/288 + t[26]/2 - t[28] - t[31]/2 + (2*t[35])/3 + t[37]/6 - 
       t[38]/2 - t[39] + t[41]/3 - t[42]/3 - t[43]/2 + t[46] - t[47]/3 + 
       t[48]/24 + (7*t[49])/24 + (11*t[50])/24 - (25*t[51])/48 - 
       (11*t[52])/24 - (7*t[53])/24 - (19*t[54])/24 + (3*t[59])/4 + 
       (59*t[60])/12 + (11*t[61])/3 + (53*t[62])/12 + (13*t[63])/4 - 
       (41*t[64])/4 - (97*t[65])/24 - (47*t[66])/72 + t[69]/2 + t[74]/2 - 
       (5*t[75])/6 - t[78] - (5*t[79])/6 - (11*t[80])/3 - (3*t[81])/4 + 
       (3*t[82])/4 - (5*t[83])/6 + (3*t[84])/8 - t[85]/4 - (59*t[86])/6 - 
       (3*t[87])/2 - (3*t[88])/4 - (7*t[89])/4 - 2*t[99] - (19*t[100])/6) + 
     F1[w, u, v]*HPL[{1}, 1 - v]^3*(-t[3]/4 + t[4] - t[5]/2 + (3*t[6])/16 + 
       t[7]/4 + (3*t[8])/4 + (3*t[9])/4 + t[10]/2 + (7*t[11])/16 - 
       (7*t[12])/8 - t[13]/12 + (13*t[14])/6 - (3*t[15])/8 + t[25]/2 - 
       t[26]/2 - t[46]/4 + (3*t[48])/16 + t[49] - (5*t[50])/16 - 
       (5*t[51])/16 + (5*t[52])/16 - t[53] + (5*t[54])/16 + (13*t[60])/8 + 
       (29*t[61])/8 - (35*t[62])/16 + (23*t[63])/16 - (17*t[64])/16 - 
       (17*t[65])/12 - (23*t[66])/6 + t[73]/2 - (3*t[75])/2 + t[81]/4 - 
       t[82]/4 + t[83] + t[84]/4 + t[85]/8 - (9*t[87])/8 - (9*t[88])/16 - 
       (15*t[89])/16 - 3*t[100]) + F1[u, v, w]*HPL[{1}, 1 - v]^3*
      (-t[3]/4 + t[4]/2 - t[5]/2 + (15*t[6])/16 - (7*t[7])/8 - (3*t[8])/8 + 
       (3*t[9])/4 - (5*t[10])/8 + (23*t[11])/16 + t[12]/8 + t[13]/3 + 
       (15*t[14])/16 - t[15]/24 - t[35]/2 + (3*t[48])/16 - (5*t[50])/16 + 
       (5*t[52])/16 + (5*t[54])/16 + (9*t[60])/8 + (29*t[61])/8 + 
       (29*t[62])/16 + (31*t[63])/16 - (37*t[64])/16 - (3*t[65])/4 - 
       (20*t[66])/9 - t[79]/2 + t[80] + t[81]/4 - t[82]/4 - t[83]/2 + 
       t[84]/4 + t[85]/8 - (9*t[86])/2 - (5*t[87])/8 - (5*t[88])/16 - 
       (11*t[89])/16 - 3*t[100]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*(t[1]/2 + (11*t[2])/8 + (5*t[3])/4 - (3*t[4])/4 - 
       (5*t[5])/16 + (19*t[6])/16 + (19*t[7])/4 + (43*t[9])/16 - 
       (89*t[10])/8 + (25*t[11])/16 - (65*t[12])/16 + (371*t[13])/144 - 
       (25*t[14])/12 + (31*t[15])/32 - t[19]/2 - t[21]/2 + t[23]/2 - t[27] - 
       t[28]/2 + t[35]/2 - t[37]/2 - t[39]/2 - t[40]/2 - t[41]/2 + t[42]/2 - 
       t[46]/4 - t[47]/2 - (15*t[48])/16 + (9*t[49])/8 + (5*t[50])/16 - 
       (5*t[51])/8 - (5*t[52])/16 - (9*t[53])/8 - (13*t[54])/16 - t[59]/2 + 
       (15*t[60])/8 - (33*t[61])/8 - (85*t[62])/16 - (47*t[63])/16 + 
       (97*t[64])/16 + (29*t[65])/12 - (25*t[66])/6 + t[69]/2 - t[72] + 
       t[75]/2 + t[77]/2 + t[78] + t[79]/2 - 3*t[80] + t[81]/4 - 
       (7*t[82])/4 - (3*t[84])/4 + (5*t[85])/8 + 7*t[86] - (13*t[87])/8 - 
       (13*t[88])/16 + (35*t[89])/16 + 10*t[99] - (5*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((25*t[2])/8 + (5*t[3])/4 - (11*t[4])/4 + (43*t[5])/16 - (33*t[6])/16 + 
       t[7]/4 - t[8]/2 + (51*t[9])/16 + (51*t[10])/8 - (79*t[11])/16 + 
       (31*t[12])/16 + (205*t[13])/144 - t[14]/3 + (157*t[15])/96 - t[19]/2 + 
       t[21]/2 - t[23]/2 + t[27] + (3*t[28])/2 - t[35]/2 + (3*t[39])/2 - 
       t[40]/2 + t[46]/4 - t[47]/2 - (3*t[48])/16 - (11*t[49])/8 - 
       (7*t[50])/16 - (3*t[51])/8 + (7*t[52])/16 + (11*t[53])/8 - t[54]/16 + 
       (19*t[60])/8 - (37*t[61])/8 + (149*t[62])/16 + (23*t[63])/16 + 
       (29*t[64])/16 + (19*t[65])/3 + (17*t[66])/6 - t[69]/2 - t[72] + 
       t[75]/2 + t[77]/2 + t[78] - t[79]/2 + t[80] - t[81]/4 + (3*t[82])/4 - 
       (27*t[83])/4 + (5*t[85])/8 - (13*t[86])/2 - (17*t[87])/8 - 
       (17*t[88])/16 + (43*t[89])/16 + 10*t[99] - (5*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((-3*t[1])/4 + 2*t[2] - (7*t[3])/2 + (37*t[4])/16 - (21*t[5])/8 + 
       (33*t[6])/8 + (137*t[7])/16 + (279*t[8])/16 + (307*t[9])/16 - 
       (437*t[10])/32 + (73*t[11])/16 + (273*t[12])/32 + (2137*t[13])/288 + 
       (1939*t[14])/192 - (29*t[15])/16 + t[18] + 3*t[21] - 3*t[23] + t[24] + 
       2*t[25] - t[26]/2 + 4*t[28] + t[31] - t[32] + t[33] + t[34] - 
       3*t[35] - t[36] - (3*t[38])/2 + 3*t[39] - t[40] + (5*t[41])/4 - 
       (3*t[42])/4 - (31*t[43])/16 + t[44]/2 - (17*t[45])/8 + t[46]/2 + 
       (25*t[47])/4 + (71*t[48])/16 - (33*t[49])/32 - (57*t[50])/16 + 
       (25*t[51])/64 + (41*t[52])/16 + (41*t[53])/32 + 3*t[54] + t[58]/2 - 
       t[59]/4 + (77*t[60])/16 + (461*t[61])/16 + (29*t[62])/32 - 
       (685*t[63])/32 + (369*t[64])/32 + (1495*t[65])/48 - (1291*t[66])/48 - 
       2*t[69] - 2*t[70] + 2*t[71] + t[72] + 3*t[73] + t[74] + t[75] + 
       (9*t[76])/2 + t[77] - (3*t[78])/2 + 5*t[79] + 9*t[80] + (5*t[81])/2 - 
       2*t[82] + (3*t[83])/2 + (59*t[84])/16 + (35*t[85])/16 + (3*t[86])/2 - 
       (65*t[87])/16 - (65*t[88])/32 + (303*t[89])/32 + 22*t[98] - 28*t[99] - 
       2*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w]*(t[1] + (9*t[2])/4 + (9*t[3])/16 - (107*t[4])/8 + 
       (369*t[5])/32 + (33*t[6])/8 - (29*t[7])/16 - (135*t[8])/16 - 
       (145*t[9])/32 - (11*t[10])/16 + (11*t[11])/4 - (9*t[12])/32 - 
       (2453*t[13])/288 + (203*t[14])/48 + (863*t[15])/192 - 2*t[25] + 
       (3*t[26])/2 - t[27] + t[28] + t[31] - 4*t[35] + t[36]/2 + t[37]/2 + 
       t[38]/2 + t[39]/2 - t[40] + (13*t[43])/8 + 2*t[44] + (3*t[45])/2 + 
       (5*t[46])/2 - 4*t[47] + (3*t[48])/16 + (11*t[49])/8 + (19*t[50])/16 - 
       (27*t[51])/32 - (3*t[52])/16 + (11*t[53])/8 + (11*t[54])/16 + 
       t[59]/2 - (55*t[60])/8 + (61*t[61])/4 + (227*t[62])/8 + 
       (157*t[63])/8 - (147*t[64])/8 - (145*t[65])/12 + (4*t[66])/3 - t[70] + 
       t[71] - 2*t[72] + 4*t[73] - (3*t[74])/2 + 5*t[76] + t[77] - 3*t[78] - 
       t[79] + (9*t[81])/4 - (5*t[82])/4 - 7*t[83] - (15*t[84])/8 + t[85]/2 - 
       28*t[86] - (5*t[87])/4 - (41*t[88])/8 - (151*t[89])/16 + t[95] + 
       t[96] - t[97]/2 + 22*t[98] - 28*t[99] - 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (t[1]/2 + t[2]/2 + (3*t[3])/8 - 4*t[4] + (5*t[5])/2 + (3*t[6])/8 + 
       (19*t[7])/4 - (13*t[8])/4 + (7*t[9])/4 - (25*t[10])/4 + (9*t[11])/2 + 
       (3*t[12])/4 + (181*t[13])/144 - (2*t[14])/3 + (79*t[15])/16 - t[21] + 
       t[23] - t[24] + t[35]/2 - t[37] - (3*t[41])/4 + (3*t[42])/4 + 
       2*t[45] + (3*t[46])/4 - (11*t[47])/2 - (5*t[48])/4 - 2*t[49] + 
       (5*t[50])/2 + t[51]/2 - (5*t[52])/2 + 2*t[53] - 2*t[54] + t[59]/4 - 
       (25*t[61])/4 + (5*t[62])/2 - (31*t[63])/4 - (97*t[64])/8 + 
       (47*t[65])/6 + (67*t[66])/6 + t[69]/2 + t[70]/2 - t[71]/2 - t[73] - 
       2*t[74] + (3*t[75])/2 + (5*t[79])/4 - (11*t[80])/2 - t[81]/2 + 
       t[82]/2 - 3*t[83] + t[84]/2 - t[85]/4 + (23*t[86])/4 - (5*t[87])/4 - 
       (5*t[88])/8 + (11*t[89])/4 + 4*t[99] - 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[u, v, w]*((5*t[1])/16 - (9*t[2])/8 + 
       (11*t[3])/32 + (65*t[4])/16 + t[5]/32 + (55*t[6])/32 + (21*t[7])/16 + 
       (31*t[8])/16 + (31*t[9])/32 + (29*t[10])/8 - (53*t[11])/16 - 
       (45*t[12])/32 - (775*t[13])/576 - t[14]/2 - (7*t[15])/8 - 
       (5*t[26])/8 + (3*t[28])/4 + (5*t[31])/8 - (5*t[35])/4 + t[37]/4 + 
       (5*t[38])/8 + (3*t[39])/4 + t[41]/16 - t[42]/16 - t[46] + t[47]/8 + 
       t[48]/2 + (3*t[49])/4 - (21*t[50])/16 + (9*t[51])/32 + (21*t[52])/16 - 
       (3*t[53])/4 + (5*t[54])/4 - (5*t[59])/8 - (45*t[60])/16 - 
       (11*t[61])/16 + (31*t[62])/32 + (153*t[63])/32 - (29*t[64])/32 + 
       (13*t[65])/16 - (13*t[66])/16 - (5*t[74])/8 + (13*t[75])/8 + 
       (3*t[78])/2 - t[79]/2 + t[80]/2 + (13*t[81])/8 - (7*t[82])/8 - 
       (41*t[83])/16 + (5*t[84])/16 + (13*t[85])/16 - t[86]/2 - 
       (35*t[87])/16 - (35*t[88])/32 + (21*t[89])/32 + 6*t[99] - 2*t[100]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (t[1]/6 - t[3]/8 + t[4] - (11*t[5])/16 + (5*t[6])/8 + (7*t[7])/8 - 
       (7*t[8])/8 + (13*t[9])/16 - (27*t[10])/4 - t[11] - (9*t[12])/16 + 
       (305*t[13])/144 + (41*t[14])/48 - (35*t[15])/96 + t[25]/2 - t[26]/2 + 
       t[28]/2 + t[39]/2 - t[40]/2 + t[45]/2 + t[46]/4 - t[47] - 
       (5*t[48])/8 + t[49]/8 - (3*t[50])/8 - (3*t[51])/4 + (3*t[52])/8 - 
       t[53]/8 + (3*t[54])/8 + t[60] - t[61]/2 - t[62]/2 - (5*t[63])/4 - 
       (43*t[64])/8 - (13*t[65])/24 - (347*t[66])/72 + t[73]/2 + t[74]/2 - 
       t[75]/2 + t[77]/2 + t[78]/2 - 2*t[79] - t[80] + (5*t[81])/4 - 
       (5*t[82])/4 - t[83]/2 + t[84]/8 + t[85] - 2*t[86] - (9*t[87])/4 - 
       (9*t[88])/8 - t[89]/8 + 3*t[99] - (3*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Phi6[u, v, w]*
      (-t[3]/8 - t[4]/2 - (23*t[5])/16 - (9*t[6])/8 - (3*t[7])/4 + t[8]/2 + 
       (25*t[9])/16 + (25*t[10])/4 - (3*t[11])/2 + t[12]/16 - 
       (31*t[13])/144 + (5*t[14])/48 - (67*t[15])/96 + t[37]/2 - t[45]/2 - 
       t[46] + t[47] - t[48]/8 + t[49]/4 - (7*t[50])/8 + t[51]/8 + 
       (7*t[52])/8 - t[53]/4 + (7*t[54])/8 - t[60]/2 + t[61]/2 + t[62]/4 - 
       t[63]/2 + (15*t[64])/8 + (35*t[65])/24 - (19*t[66])/8 + t[74]/2 - 
       t[75]/2 + t[78]/2 + t[79]/2 + t[80] + (5*t[81])/4 - (7*t[82])/4 + 
       t[83]/4 + t[84]/8 + t[85] - (5*t[86])/2 - (3*t[87])/4 - (3*t[88])/8 + 
       (9*t[89])/8 + 3*t[99] - (3*t[100])/2) + H1[w, u, v]*HPL[{0, 1}, 1 - w]*
      ((-3*t[1])/4 + (5*t[2])/2 - (5*t[3])/4 - (29*t[4])/4 - (5*t[5])/16 + 
       (15*t[6])/16 - (5*t[7])/8 - (3*t[8])/8 + (19*t[9])/16 + 8*t[10] + 
       (123*t[11])/16 + (47*t[12])/16 + (29*t[13])/12 + (83*t[14])/48 + 
       (449*t[15])/96 - t[19]/2 - t[21]/2 + t[23]/2 + t[25] - (3*t[26])/2 + 
       t[27] + t[28]/2 - t[31]/2 + t[35]/2 - t[37]/2 - t[38]/2 + t[39]/2 + 
       (3*t[40])/2 - t[41]/2 + t[42]/2 + 2*t[45] + t[46] - (9*t[47])/2 - 
       (31*t[48])/16 - (13*t[49])/8 + (41*t[50])/16 - t[51]/16 - 
       (41*t[52])/16 + (13*t[53])/8 - (53*t[54])/16 + t[59]/2 + (3*t[60])/8 + 
       (107*t[61])/8 - (41*t[62])/16 - (7*t[63])/16 + (87*t[64])/16 - 
       (31*t[65])/8 + (59*t[66])/8 + t[69]/2 + t[70]/2 - t[71]/2 + t[72] - 
       t[75] - (3*t[77])/2 - t[78] - t[79] - 3*t[80] + (3*t[81])/2 - 
       2*t[82] + (33*t[83])/4 + (5*t[84])/8 + (3*t[85])/8 - t[86] + 
       (19*t[87])/8 + (19*t[88])/16 - (15*t[89])/16 - 10*t[99] - t[100]/2) + 
     H1[v, w, u]*HPL[{0, 1}, 1 - u]*(-t[1]/4 - 9*t[2] - (7*t[3])/4 + 
       (13*t[4])/4 - (13*t[5])/16 + (55*t[6])/16 - (61*t[7])/8 - 
       (75*t[8])/8 - (125*t[9])/16 - t[10]/8 - (21*t[11])/16 + (5*t[12])/16 - 
       (19*t[13])/36 - (33*t[14])/8 - (187*t[15])/96 + (3*t[19])/2 - 
       (3*t[21])/2 + (3*t[23])/2 + t[25] + t[26]/2 - t[27] - (3*t[28])/2 - 
       t[31]/2 + (5*t[35])/2 - t[37]/2 - t[38]/2 - (3*t[39])/2 - t[40]/2 + 
       2*t[45] + t[46]/2 - (5*t[47])/2 + (25*t[48])/16 - 2*t[49] - 
       (15*t[50])/16 + (3*t[51])/4 + (15*t[52])/16 + 2*t[53] + 
       (43*t[54])/16 + t[59]/2 - (5*t[60])/8 - (13*t[61])/8 + 
       (247*t[62])/16 + (185*t[63])/16 + (191*t[64])/16 - (209*t[65])/24 + 
       (43*t[66])/8 + (3*t[69])/2 + t[70]/2 - t[71]/2 + t[72] + 3*t[75] + 
       t[77]/2 - t[78] + 4*t[79] - 9*t[80] + (3*t[81])/2 - 5*t[83] + 
       (5*t[84])/8 - (13*t[85])/8 - 23*t[86] + (3*t[87])/8 + (3*t[88])/16 + 
       (41*t[89])/16 - 10*t[99] - t[100]/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      J1[w, u, v]*(t[1]/16 - (29*t[3])/32 + (17*t[4])/16 - (55*t[5])/32 + 
       (13*t[6])/32 - (27*t[7])/16 - (25*t[8])/16 + (19*t[9])/32 - 
       (9*t[10])/2 + (23*t[11])/8 + (7*t[12])/32 - (101*t[13])/192 - 
       (43*t[14])/24 - (35*t[15])/48 - t[26]/8 + (3*t[28])/4 + t[31]/8 + 
       (3*t[35])/4 - (3*t[37])/4 + t[38]/8 + (3*t[39])/4 + t[41]/16 - 
       t[42]/16 - t[46]/2 + t[47]/8 - t[48]/16 - t[49]/8 + t[50]/8 - 
       t[51]/32 - t[52]/8 + t[53]/8 - (3*t[54])/16 - t[59]/8 + t[60]/16 - 
       (9*t[61])/16 - (17*t[62])/32 + (57*t[63])/32 + (101*t[64])/32 + 
       (11*t[65])/16 + (7*t[66])/48 - t[74]/8 + t[75]/8 - t[81]/8 - 
       (5*t[82])/8 + (15*t[83])/16 + t[84]/16 - t[85]/16 + (11*t[87])/16 + 
       (11*t[88])/32 + (27*t[89])/32 - 3*t[99] + t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[v, w, u]*(t[1]/16 - (27*t[2])/8 - 
       (41*t[3])/32 - (29*t[4])/16 - (31*t[5])/32 - (43*t[6])/32 - 
       (15*t[7])/16 + (23*t[8])/16 - (121*t[9])/32 + (107*t[10])/16 - 
       (47*t[11])/8 - (15*t[12])/32 - (899*t[13])/576 + (21*t[14])/32 - 
       (3*t[15])/2 - t[26]/8 - (3*t[28])/4 + t[31]/8 - t[35]/4 + 
       (5*t[37])/4 + t[38]/8 - (3*t[39])/4 + (5*t[41])/16 - (5*t[42])/16 + 
       t[46]/4 + (5*t[47])/8 + (13*t[48])/16 + (3*t[49])/16 - (3*t[50])/4 + 
       (3*t[51])/8 + (3*t[52])/4 - (3*t[53])/16 + (25*t[54])/16 - t[59]/8 - 
       (3*t[60])/16 - t[61]/16 - (31*t[62])/32 + (87*t[63])/32 + 
       (353*t[64])/32 - (13*t[65])/48 + (27*t[66])/16 - t[74]/8 + 
       (5*t[75])/8 + t[79]/2 - t[80]/2 - t[81]/8 + (7*t[82])/8 - 
       (13*t[83])/16 + t[84]/16 - t[85]/16 + t[86]/2 + (11*t[87])/16 + 
       (11*t[88])/32 + (39*t[89])/32 - 3*t[99] + t[100]) + 
     H1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*((3*t[1])/2 + t[3]/8 - 
       3*t[4] - (3*t[5])/16 + (7*t[6])/16 - t[7]/8 - (19*t[8])/8 + t[9]/16 - 
       7*t[10] - (7*t[11])/16 + (13*t[12])/16 + (373*t[13])/144 - 
       (145*t[14])/48 + (49*t[15])/96 + t[28]/2 + t[39]/2 - t[40]/2 + 
       t[45]/2 - t[47] - (13*t[48])/16 - (19*t[49])/8 - t[50]/16 - t[51]/16 + 
       t[52]/16 + (19*t[53])/8 + t[54]/16 - (13*t[60])/8 - (25*t[61])/8 + 
       (59*t[62])/16 - (83*t[63])/16 + (59*t[64])/16 + (53*t[65])/24 + 
       (43*t[66])/24 + (3*t[74])/2 + t[75] + t[77]/2 + t[78]/2 + t[79] - 
       t[80] + t[81] - t[82] - (7*t[83])/2 - t[84]/8 + (7*t[85])/8 - 
       5*t[86] - t[87]/8 - t[88]/16 + (37*t[89])/16 + 3*t[99] + 
       (3*t[100])/2) + H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (t[3]/8 - t[4] - (15*t[5])/16 - (33*t[6])/16 + (11*t[7])/8 + 
       (17*t[8])/8 + (13*t[9])/16 + (49*t[10])/8 - (31*t[11])/16 - t[12]/16 + 
       (41*t[13])/144 - (13*t[14])/8 - (21*t[15])/32 + t[26] + (3*t[35])/2 + 
       t[37]/2 - t[45]/2 + t[46]/2 + t[47] - (5*t[48])/16 + t[49]/4 - 
       (9*t[50])/16 - t[51]/4 + (9*t[52])/16 - t[53]/4 + (9*t[54])/16 - 
       (13*t[60])/8 - (17*t[61])/8 - (97*t[62])/16 - (103*t[63])/16 + 
       (227*t[64])/16 + (23*t[65])/8 - (27*t[66])/8 + (3*t[74])/2 + t[75]/2 + 
       t[78]/2 - 2*t[80] + t[81] - (3*t[82])/2 + (3*t[83])/4 - t[84]/8 + 
       (7*t[85])/8 + 7*t[86] - t[87]/8 - t[88]/16 + (45*t[89])/16 + 3*t[99] + 
       (3*t[100])/2) + HPL[{0, 1, 1, 1}, 1 - v]*Phi6[u, v, w]*
      (-t[1] + 14*t[4] + 5*t[7] + 5*t[8] - 2*t[10] - 8*t[11] - 3*t[12] - 
       (2*t[13])/3 + (41*t[14])/6 - (7*t[15])/3 + t[37] - 4*t[46] + 7*t[49] - 
       t[51]/2 - 7*t[53] + (3*t[59])/2 + (25*t[60])/2 - 14*t[61] - 
       (47*t[62])/4 + (59*t[63])/4 - (19*t[64])/4 - (29*t[65])/3 - 
       (14*t[66])/3 + 3*t[69] - 2*t[70] + 2*t[71] - 8*t[74] + t[75] - 
       7*t[79] - t[80] - (5*t[83])/2 + 21*t[86] - 13*t[87] - (13*t[88])/2 - 
       (15*t[89])/4 + 2*t[100]) + F1[u, v, w]*HPL[{1}, 1 - u]^3*
      (t[4]/6 + t[5]/24 - t[7]/12 - t[8]/12 - t[9]/24 - t[11]/12 - t[12]/8 + 
       t[13]/18 - (55*t[14])/72 + (5*t[15])/144 - t[36]/3 + t[49]/12 - 
       t[53]/12 + (7*t[60])/6 - t[61]/3 + (5*t[62])/12 - (9*t[63])/4 - 
       t[64]/3 - t[65]/6 + (5*t[66])/18 + (2*t[75])/3 - t[79]/3 - t[83] - 
       t[86]/3 - t[87]/6 - t[88]/12 + t[89]/6 + 2*t[100]) + 
     F1[w, u, v]*HPL[{1}, 1 - w]^3*(t[2]/4 + t[3]/6 - (7*t[4])/12 + t[5]/3 - 
       (3*t[6])/4 + (11*t[7])/12 + t[8]/4 + (5*t[9])/4 - (35*t[10])/24 - 
       (11*t[11])/12 + (5*t[12])/24 - (85*t[13])/54 - (53*t[14])/48 - 
       (13*t[15])/36 + t[37]/6 - t[45]/6 + (2*t[47])/3 - t[49]/8 + t[51]/16 + 
       t[53]/8 + t[54]/4 + t[60]/12 - (29*t[61])/12 - (29*t[62])/24 - 
       (127*t[63])/24 + (37*t[64])/24 + (4*t[65])/9 + (11*t[66])/9 + 
       t[79]/3 - t[80]/3 - t[81]/6 + t[82]/6 + t[83]/3 - t[84]/6 - t[85]/4 + 
       (8*t[86])/3 + (7*t[87])/12 + (7*t[88])/24 + (3*t[89])/8 + 2*t[100]) + 
     HPL[{1}, 1 - v]^2*K1[v, w, u]*(t[3]/4 - t[4]/2 + t[5]/2 - (15*t[6])/16 + 
       (7*t[7])/8 + (3*t[8])/8 - (3*t[9])/4 + (5*t[10])/8 - (23*t[11])/16 - 
       t[12]/8 - t[13]/18 - (15*t[14])/16 + t[15]/24 + t[35]/2 - 
       (3*t[48])/16 + (5*t[50])/16 - (5*t[52])/16 - (5*t[54])/16 - 
       (9*t[60])/8 - (33*t[61])/8 - (37*t[62])/16 - (31*t[63])/16 + 
       (53*t[64])/16 + (3*t[65])/4 + (10*t[66])/3 + t[79]/2 - t[80] - 
       t[81]/4 + t[82]/4 + t[83]/2 - t[84]/4 - t[85]/8 + (9*t[86])/2 + 
       (5*t[87])/8 + (5*t[88])/16 + (11*t[89])/16 + 3*t[100]) + 
     HPL[{1}, 1 - v]^2*K1[w, u, v]*(t[3]/4 - t[4] + t[5]/2 - (3*t[6])/16 - 
       t[7]/4 - (3*t[8])/4 - (3*t[9])/4 - t[10]/2 - (7*t[11])/16 + 
       (7*t[12])/8 + (5*t[13])/12 - (13*t[14])/6 + (3*t[15])/8 - t[25]/2 + 
       t[26]/2 + t[46]/4 - (3*t[48])/16 - t[49] + (5*t[50])/16 + 
       (5*t[51])/16 - (5*t[52])/16 + t[53] - (5*t[54])/16 - (13*t[60])/8 - 
       (33*t[61])/8 + (27*t[62])/16 - (23*t[63])/16 + (33*t[64])/16 + 
       (17*t[65])/12 + (19*t[66])/6 - t[73]/2 + (3*t[75])/2 - t[81]/4 + 
       t[82]/4 - t[83] - t[84]/4 - t[85]/8 + (9*t[87])/8 + (9*t[88])/16 + 
       (15*t[89])/16 + 3*t[100]) + HPL[{0, 1}, 1 - v]*J1[v, w, u]*
      (-t[1]/16 - 4*t[2] - (47*t[3])/32 + (23*t[4])/16 - (35*t[5])/16 + 
       (15*t[6])/32 + (25*t[7])/16 + (53*t[8])/16 - 2*t[9] + (77*t[10])/16 - 
       (63*t[11])/16 - (13*t[12])/8 - (1457*t[13])/576 + (37*t[14])/48 - 
       (439*t[15])/192 - (5*t[19])/8 - (5*t[21])/8 + (5*t[23])/8 - 
       (3*t[25])/4 + (11*t[26])/8 + (3*t[27])/4 - (13*t[28])/8 + t[31]/8 + 
       (3*t[35])/8 + (9*t[37])/8 + t[38]/8 - (13*t[39])/8 + t[40]/8 + 
       t[45]/2 - t[46]/8 - (3*t[47])/8 - (9*t[48])/16 + t[49] - (5*t[50])/4 + 
       (7*t[51])/16 + (5*t[52])/4 - t[53] + (29*t[54])/16 - t[59]/8 + 
       (43*t[60])/16 - (5*t[61])/16 - (179*t[62])/32 - (49*t[63])/32 + 
       (311*t[64])/32 - (25*t[65])/6 - (47*t[66])/8 + (5*t[69])/8 + t[70]/8 - 
       t[71]/8 - (3*t[72])/4 - t[74]/4 + (11*t[75])/4 - t[77]/8 + 
       (3*t[78])/4 + (7*t[79])/4 - (11*t[80])/4 + t[81]/4 + (15*t[82])/8 + 
       (23*t[83])/16 - t[84]/2 + (33*t[85])/16 + (23*t[86])/4 - 
       (17*t[87])/16 - (17*t[88])/32 + (49*t[89])/32 + (3*t[99])/2 + 
       (13*t[100])/4) + HPL[{0, 1}, 1 - v]*J1[w, u, v]*
      (-t[1]/16 - t[2]/8 - (11*t[3])/32 - (19*t[4])/16 - (65*t[5])/16 - 
       (9*t[6])/32 - (35*t[7])/16 - (35*t[8])/16 + 2*t[9] - 3*t[10] + 
       (41*t[11])/16 + (25*t[12])/16 - (263*t[13])/192 - (57*t[14])/32 - 
       (359*t[15])/192 - t[19]/8 - t[21]/8 + t[23]/8 + (3*t[25])/4 - 
       (13*t[26])/8 + (3*t[27])/4 - (5*t[28])/8 + t[31]/8 + (7*t[35])/8 - 
       (15*t[37])/8 + t[38]/8 - (5*t[39])/8 + (5*t[40])/8 - t[45]/2 + 
       t[46]/8 + (9*t[47])/8 - (15*t[48])/16 - (11*t[49])/16 - (7*t[50])/8 + 
       (23*t[51])/32 + (7*t[52])/8 + (11*t[53])/16 + (17*t[54])/16 - 
       t[59]/8 - (17*t[60])/16 - (45*t[61])/16 + (147*t[62])/32 - 
       (71*t[63])/32 + (179*t[64])/32 - (7*t[65])/8 + (29*t[66])/4 + 
       t[69]/8 + t[70]/8 - t[71]/8 - (3*t[72])/4 - t[74]/4 + t[75]/4 - 
       (5*t[77])/8 + (3*t[78])/4 - (3*t[79])/4 + (3*t[80])/4 + t[81]/4 - 
       t[82]/8 + (7*t[83])/16 - t[84]/2 + (25*t[85])/16 - (7*t[86])/4 + 
       (23*t[87])/16 + (23*t[88])/32 + (53*t[89])/32 + (3*t[99])/2 + 
       (13*t[100])/4) + H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      (-t[1]/4 + 3*t[2] - (3*t[3])/8 - t[4]/4 - (9*t[5])/8 + (3*t[6])/8 - 
       (5*t[7])/4 - (7*t[8])/4 + (5*t[9])/8 - 6*t[10] + (13*t[11])/2 + 
       (17*t[12])/8 + (53*t[13])/48 - (7*t[14])/3 + (25*t[15])/12 + t[26]/2 + 
       t[28] - t[31]/2 + t[35] - t[37] - t[38]/2 + t[39] - t[41]/4 + 
       t[42]/4 - t[47]/2 - (7*t[48])/4 - (3*t[49])/2 + (3*t[50])/2 - 
       (3*t[51])/8 - (3*t[52])/2 + (3*t[53])/2 - (5*t[54])/4 + t[59]/2 - 
       t[60]/4 + (9*t[61])/4 + t[62]/8 - (41*t[63])/8 - (37*t[64])/8 - 
       t[65]/12 - (7*t[66])/12 + t[74]/2 - t[75]/2 + t[81]/2 - (3*t[82])/2 + 
       (17*t[83])/4 - t[84]/4 + t[85]/4 + (5*t[87])/4 + (5*t[88])/8 - 
       (11*t[89])/8 - 4*t[99] + 4*t[100]) + H1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*(-t[1]/4 - (15*t[2])/2 - (15*t[3])/8 - (19*t[4])/4 - 
       (17*t[5])/8 - (21*t[6])/8 - (9*t[7])/4 + t[8]/4 - (47*t[9])/8 + 
       (53*t[10])/4 - (19*t[11])/2 + (7*t[12])/8 - (437*t[13])/144 - 
       (91*t[14])/24 - (14*t[15])/3 + t[26]/2 - t[28] - t[31]/2 + t[35] + 
       3*t[37] - t[38]/2 - t[39] + (3*t[41])/4 - (3*t[42])/4 + t[46] + 
       (3*t[47])/2 + (7*t[48])/4 - (3*t[49])/4 - 2*t[50] + 2*t[52] + 
       (3*t[53])/4 + (11*t[54])/4 + t[59]/2 - (5*t[60])/4 - (23*t[61])/4 - 
       (17*t[62])/8 - (7*t[63])/8 + (199*t[64])/8 - (11*t[65])/12 + 
       (71*t[66])/12 + t[74]/2 + (3*t[75])/2 + 2*t[79] - 2*t[80] + t[81]/2 + 
       t[82]/2 - (11*t[83])/4 - t[84]/4 + t[85]/4 + 2*t[86] + (5*t[87])/4 + 
       (5*t[88])/8 + (33*t[89])/8 - 4*t[99] + 4*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[v, w, u]*((11*t[3])/32 + (3*t[4])/4 + 
       (99*t[5])/64 + (97*t[6])/64 + (9*t[7])/32 - (21*t[8])/32 - 
       (121*t[9])/64 - (285*t[10])/32 + (199*t[11])/64 + (5*t[12])/64 + 
       (587*t[13])/576 - (137*t[14])/96 + (163*t[15])/384 + (3*t[26])/4 + 
       t[35]/8 - (5*t[37])/8 + t[45]/8 + (13*t[46])/8 - t[47]/4 + 
       (5*t[48])/64 - (5*t[49])/16 + (57*t[50])/64 - t[51]/4 - 
       (57*t[52])/64 + (5*t[53])/16 - (57*t[54])/64 - (11*t[60])/32 + 
       (25*t[61])/32 - (87*t[62])/64 + (15*t[63])/64 + (349*t[64])/64 - 
       (73*t[65])/96 + (31*t[66])/32 + t[74]/8 + (7*t[75])/8 - (5*t[78])/8 - 
       2*t[79] - t[80]/2 - t[81] + (13*t[82])/8 + t[83]/16 - (11*t[84])/32 - 
       (31*t[85])/32 + (9*t[86])/4 + (49*t[87])/32 + (49*t[88])/64 - 
       (77*t[89])/64 - (15*t[99])/4 + (33*t[100])/8) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[w, u, v]*(t[1]/8 + (11*t[3])/32 - 
       (11*t[4])/4 + (55*t[5])/64 - (39*t[6])/64 - (31*t[7])/32 + 
       (11*t[8])/32 - (77*t[9])/64 + (45*t[10])/8 + (95*t[11])/64 - 
       (17*t[12])/64 - (1409*t[13])/576 - (61*t[14])/64 + (35*t[15])/384 - 
       (5*t[28])/8 - (5*t[39])/8 + (5*t[40])/8 - (5*t[45])/8 - t[46] + 
       (5*t[47])/4 + (29*t[48])/64 - t[49]/32 + (33*t[50])/64 + 
       (45*t[51])/64 - (33*t[52])/64 + t[53]/32 - (33*t[54])/64 - 
       (59*t[60])/32 + (65*t[61])/32 - (99*t[62])/64 + (107*t[63])/64 + 
       (757*t[64])/64 + (13*t[65])/32 + (283*t[66])/32 + t[74]/8 - 
       (5*t[75])/4 - (5*t[77])/8 - (5*t[78])/8 + (13*t[79])/4 + (5*t[80])/4 - 
       t[81] + t[82] + (11*t[83])/8 - (11*t[84])/32 - (31*t[85])/32 + 
       (7*t[86])/4 + (97*t[87])/32 + (97*t[88])/64 - (21*t[89])/64 - 
       (15*t[99])/4 + (33*t[100])/8) + HPL[{1}, 1 - u]^2*K1[u, v, w]*
      ((3*t[5])/16 - (3*t[7])/8 - (3*t[8])/8 - (3*t[9])/16 + t[10]/8 - 
       (3*t[11])/8 + t[12]/16 + t[13]/6 - (7*t[14])/16 + (11*t[15])/96 - 
       t[36]/2 - t[49]/4 + t[51]/8 + t[53]/4 + t[60] - (5*t[61])/4 + 
       (15*t[62])/8 + (5*t[63])/8 - (7*t[64])/8 - t[65]/4 + (13*t[66])/12 - 
       t[69]/2 - t[73]/2 + (5*t[75])/2 - t[79]/2 - (13*t[83])/4 - 
       (3*t[86])/2 - t[87] - t[88]/2 + (5*t[89])/8 + (9*t[100])/2) + 
     HPL[{1}, 1 - w]^2*K1[u, v, w]*(t[1]/4 + t[2]/8 + (3*t[3])/8 - 5*t[4] + 
       (5*t[5])/16 - (5*t[6])/4 + (9*t[7])/4 + (3*t[8])/2 + t[9]/16 + 
       t[10]/8 - (3*t[11])/2 - (5*t[12])/16 + (5*t[13])/8 - (41*t[14])/24 - 
       t[15]/32 + t[37]/2 - t[41]/4 + t[42]/4 + t[43]/2 + t[47]/2 - 
       (5*t[49])/8 + (5*t[51])/16 + (5*t[53])/8 + t[54]/4 - t[59]/4 - 
       (11*t[60])/4 - 5*t[61] - (43*t[62])/8 - (37*t[63])/8 + 13*t[64] + 
       (65*t[65])/24 + (37*t[66])/24 - t[69]/2 + (3*t[79])/2 + 3*t[80] - 
       t[81]/4 + t[82]/4 + (3*t[83])/4 - (5*t[84])/8 - t[85]/4 + 
       (21*t[86])/2 + 2*t[87] + t[88] + (7*t[89])/4 + (9*t[100])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*(t[3]/2 + (7*t[4])/2 + 
       (3*t[5])/8 - (17*t[6])/16 + t[7]/2 - (9*t[8])/2 - (5*t[9])/8 - 
       (23*t[10])/2 - (81*t[11])/16 + (337*t[13])/72 - t[14] - (5*t[15])/48 + 
       t[25]/2 - t[26]/2 + t[28] - t[31]/2 + t[39] - t[40] - t[43]/4 + 
       t[45] + (7*t[46])/4 - 2*t[47] - (25*t[48])/16 - (5*t[49])/4 + 
       (7*t[50])/16 - (27*t[51])/16 - (7*t[52])/16 + (5*t[53])/4 - 
       (7*t[54])/16 - (17*t[60])/8 - (23*t[61])/8 + (61*t[62])/8 - 
       (29*t[63])/8 - (273*t[64])/16 - (71*t[65])/24 - (11*t[66])/8 + 
       t[73]/2 + 3*t[74] + t[75]/2 + t[77] + t[78] - (21*t[79])/4 - 2*t[80] + 
       (7*t[81])/4 - (7*t[82])/4 - 2*t[83] - t[84]/2 + (9*t[85])/8 - 
       (31*t[86])/4 - (13*t[87])/8 - (13*t[88])/16 - (29*t[89])/16 + 
       6*t[99] + (9*t[100])/2) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*(t[3]/4 - 2*t[4] - (15*t[5])/8 - (27*t[6])/8 - 
       (11*t[7])/8 + t[8]/8 + (13*t[9])/8 + (159*t[10])/8 - (39*t[11])/8 - 
       (23*t[12])/8 - (125*t[13])/72 + (13*t[14])/16 - (107*t[15])/48 - 
       t[25]/2 + t[26]/2 + t[35]/2 + t[37] - t[45] - (11*t[46])/4 + 2*t[47] - 
       (5*t[48])/8 + (13*t[49])/4 - (9*t[50])/8 + (15*t[51])/16 + 
       (9*t[52])/8 - (13*t[53])/4 + (9*t[54])/8 - (13*t[60])/4 - t[61]/4 - 
       (19*t[62])/8 + (31*t[63])/8 - (7*t[64])/8 + (5*t[65])/12 - 
       (79*t[66])/12 - t[73]/2 + 3*t[74] + t[75]/2 + t[78] + (7*t[79])/2 + 
       t[80] + 2*t[81] - 3*t[82] + 7*t[83] - t[84]/4 + (7*t[85])/4 - 
       (5*t[86])/2 - t[87]/4 - t[88]/8 + (5*t[89])/8 + 6*t[99] + 
       (9*t[100])/2) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      ((3*t[3])/4 - (33*t[4])/4 + (95*t[5])/8 + t[6]/4 - t[7]/2 - 
       (5*t[8])/2 - (71*t[9])/8 + (41*t[10])/8 - 3*t[11] + (5*t[12])/4 - 
       (287*t[13])/36 + (91*t[14])/48 + (259*t[15])/48 - 2*t[31] - 4*t[35] + 
       2*t[37] + t[43]/2 + t[44] + t[45] + t[46]/2 - 3*t[47] + (11*t[48])/4 - 
       t[49]/8 + (3*t[50])/4 - (9*t[51])/16 - (3*t[52])/4 + t[53]/8 + t[59] - 
       (3*t[60])/2 + t[61]/2 + (13*t[62])/2 + (23*t[63])/2 + (71*t[64])/4 - 
       (13*t[65])/6 + (43*t[66])/3 + 2*t[69] - t[74] + t[75] + 4*t[79] - 
       5*t[80] + 2*t[82] - 6*t[83] + t[84]/2 - (7*t[85])/2 - 14*t[86] + 
       t[87]/2 + t[88]/4 - (3*t[89])/4 - 4*t[99] + 5*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      (-t[1] - (9*t[3])/4 + 5*t[4] + (7*t[5])/8 + (7*t[6])/2 - t[7]/2 + 
       2*t[8] + (19*t[9])/8 + 6*t[10] + (3*t[11])/4 - (5*t[12])/8 + 
       (133*t[13])/72 + (23*t[14])/8 + (115*t[15])/48 + 2*t[25] + t[28] + 
       t[31] - t[35] - t[36] - 2*t[38] + t[39] - t[40] + t[45] + 2*t[46] - 
       2*t[47] + t[48] - t[49] - t[50]/2 - (5*t[51])/4 + t[52]/2 + t[53] + 
       t[54]/2 + t[59] + 8*t[60] + (5*t[61])/2 - (11*t[62])/8 - 
       (25*t[63])/8 + (43*t[64])/4 - (7*t[65])/2 - (23*t[66])/6 + 2*t[69] + 
       3*t[75] + t[77] + t[78] - 3*t[80] + (3*t[81])/2 - (3*t[82])/2 - 
       4*t[83] + (5*t[84])/4 - t[85]/2 - 12*t[86] - 6*t[87] - 3*t[88] + 
       (25*t[89])/4 - 4*t[99] + 5*t[100]) + C25[v, w, u]*
      (t[3]/2 + (5*t[5])/4 - t[6]/4 - t[7]/2 - (3*t[8])/2 - (7*t[9])/4 + 
       (3*t[10])/2 - (3*t[11])/4 - t[12]/4 - (5*t[13])/12 - (11*t[14])/6 + 
       (5*t[15])/24 - t[48]/4 + (3*t[50])/4 - (3*t[52])/4 - (3*t[54])/4 - 
       (5*t[60])/2 - (7*t[61])/2 + (5*t[62])/4 + (3*t[63])/4 + (5*t[64])/4 + 
       t[65]/2 + (23*t[66])/6 + t[83] - t[84]/2 - t[85]/2 + (3*t[87])/2 + 
       (3*t[88])/4 - t[89]/4 + 6*t[100]) + A10[w, u, v]*HPL[{1}, 1 - u]*
      (t[3]/2 + t[5] - (3*t[6])/8 - t[8] - (3*t[9])/2 + t[10]/2 - 
       (7*t[11])/8 - t[12]/4 - (5*t[13])/2 - (5*t[14])/3 + t[15]/12 + t[16] - 
       t[25] + t[26] - t[46]/2 - (3*t[48])/8 + (5*t[50])/8 - (3*t[51])/8 - 
       (5*t[52])/8 - (5*t[54])/8 - (7*t[60])/4 - 3*t[61] - (21*t[62])/8 + 
       (51*t[63])/8 + t[64] - t[65] + 6*t[66] + 2*t[74] + 2*t[79] - t[81]/2 + 
       t[82]/2 - 2*t[83] - t[84]/2 - t[85]/4 + 2*t[86] + (5*t[87])/4 + 
       (5*t[88])/8 + (5*t[89])/4 + 6*t[100]) + A10[u, v, w]*HPL[{1}, 1 - w]*
      ((3*t[2])/4 + (3*t[3])/2 + (31*t[4])/4 - (11*t[5])/4 + t[6]/2 - 
       (15*t[7])/2 - (29*t[8])/4 - (5*t[9])/2 + (115*t[10])/8 - 
       (13*t[11])/4 - (19*t[12])/8 + t[13]/4 - (83*t[14])/48 + 
       (25*t[15])/24 - t[17]/2 + 2*t[24] + (3*t[46])/2 + t[48] - 
       (13*t[49])/8 - t[50] - (5*t[51])/16 + t[52] + (13*t[53])/8 + 
       (5*t[54])/4 - t[60] - 9*t[61] + (73*t[62])/4 + (157*t[63])/4 - 
       20*t[64] + (7*t[65])/6 + (41*t[66])/6 + t[67] + 6*t[74] - 4*t[79] - 
       4*t[83] - 28*t[86] + (5*t[89])/2 - t[94] + 6*t[100]) + 
     HPL[{1}, 1 - u]^2*K1[v, w, u]*((-3*t[3])/4 + (17*t[5])/16 + (5*t[6])/8 - 
       (5*t[7])/8 - (9*t[8])/8 - (5*t[9])/16 + (33*t[10])/8 - (5*t[11])/2 - 
       (17*t[12])/16 - (23*t[13])/72 + (145*t[14])/48 + (113*t[15])/96 + 
       (3*t[28])/2 + t[31]/2 - t[35] + t[39] - t[40]/2 + t[45] - 2*t[47] + 
       (5*t[48])/8 + t[50]/8 - t[52]/8 - t[54]/8 + (9*t[60])/4 + 2*t[61] + 
       3*t[62] + (7*t[63])/2 - (45*t[64])/4 + (5*t[65])/6 + t[66]/3 - 
       t[72]/2 - t[73]/2 + (5*t[75])/2 - t[76]/2 + t[77]/2 + 2*t[78] - 
       (3*t[79])/2 - 2*t[80] - (7*t[83])/2 + (3*t[84])/4 - (3*t[85])/4 - 
       (15*t[86])/2 - (7*t[87])/4 - (7*t[88])/8 + t[89] - 3*t[98] + 6*t[99] + 
       6*t[100]) + HPL[{1}, 1 - w]^2*K1[w, u, v]*((3*t[2])/4 + (5*t[3])/4 - 
       (15*t[4])/8 + (3*t[5])/4 + t[7]/2 - (3*t[8])/4 - (5*t[9])/4 - 
       (13*t[10])/16 - (23*t[11])/8 - (13*t[12])/16 - (19*t[13])/8 - 
       (89*t[14])/32 - (23*t[15])/48 + t[44] + (7*t[48])/4 + (5*t[49])/16 - 
       t[50]/4 + (3*t[51])/32 + t[52]/4 - (5*t[53])/16 - (3*t[54])/8 - 
       t[59]/4 - (31*t[60])/8 - (45*t[61])/8 + (33*t[62])/16 - (5*t[63])/16 + 
       (35*t[64])/16 + (53*t[65])/12 + (11*t[66])/2 - t[73]/2 + (3*t[75])/2 - 
       t[76]/2 + t[78] - (3*t[81])/4 + (3*t[82])/4 - t[83] - t[84]/4 - 
       (3*t[85])/8 + (15*t[87])/8 + (15*t[88])/16 + (21*t[89])/16 - 3*t[98] + 
       6*t[99] + 6*t[100]) + HPL[{0, 1}, 1 - v]*K1[v, w, u]*
      ((5*t[1])/4 - (33*t[2])/4 - (5*t[3])/4 - (19*t[4])/8 - (83*t[5])/8 - 
       (67*t[6])/8 + (237*t[7])/16 + (11*t[8])/16 + (127*t[9])/16 - 
       (3*t[10])/8 - (89*t[11])/16 - (33*t[12])/16 - (89*t[13])/32 - 
       (355*t[14])/96 - (965*t[15])/96 + t[18] - t[19] - 2*t[20] - 2*t[21] + 
       2*t[23] - t[25] + 2*t[26] + t[27] - 5*t[28] - 2*t[31] - 2*t[33] + 
       t[34] + 4*t[35] + 2*t[37] - 3*t[39] + t[40] - (3*t[41])/4 + 
       (5*t[42])/4 - (31*t[43])/16 + t[44]/2 + (7*t[45])/8 - t[46]/4 + 
       (13*t[47])/4 - (41*t[48])/16 + (65*t[49])/16 + (7*t[50])/16 + 
       (17*t[51])/32 - (55*t[52])/16 - (65*t[53])/16 - (9*t[54])/16 + 
       t[58]/2 - t[59]/2 - t[60]/4 - (19*t[61])/2 - (153*t[62])/4 - 
       (83*t[63])/4 + (135*t[64])/4 + (157*t[65])/12 - (107*t[66])/4 + 
       t[69] - 2*t[70] + 2*t[71] + t[73] - t[74] - 4*t[75] + (5*t[76])/2 - 
       t[77] - (9*t[78])/2 + 10*t[79] - 2*t[80] + t[81]/2 + (7*t[82])/2 + 
       10*t[83] - (3*t[84])/2 + (25*t[85])/4 + (83*t[86])/2 + (5*t[87])/4 + 
       (5*t[88])/8 + (57*t[89])/8 + 14*t[98] - 10*t[99] + 7*t[100]) + 
     HPL[{0, 1}, 1 - v]*K1[w, u, v]*(-t[1]/4 - (3*t[2])/4 - (15*t[3])/4 - 
       (29*t[4])/8 - (183*t[5])/16 + (37*t[6])/16 - (9*t[7])/2 + t[8]/2 + 
       (167*t[9])/16 + (5*t[10])/2 + (181*t[11])/16 + (79*t[12])/16 - 
       3*t[13] + (183*t[14])/32 - (79*t[15])/96 - t[26]/2 + t[31] + t[36]/2 - 
       (3*t[37])/2 - t[38]/2 - t[39]/2 + t[43]/2 - t[44] - (3*t[45])/2 + 
       t[46] + 3*t[47] - (15*t[48])/16 - (9*t[49])/8 - (15*t[50])/16 + 
       (93*t[51])/32 + (31*t[52])/16 + (31*t[53])/8 + (85*t[54])/16 + 
       t[59]/4 - (15*t[60])/8 + (25*t[61])/4 + (83*t[62])/8 + (49*t[63])/8 - 
       (11*t[64])/8 - (107*t[65])/24 + (5*t[66])/8 - t[70] + t[71] - 
       3*t[72] - 2*t[73] - t[74]/2 + 5*t[75] + t[76] - t[77]/2 - 2*t[78] - 
       2*t[79] + 5*t[80] + (15*t[81])/4 - (19*t[82])/4 - (7*t[83])/2 - 
       (11*t[84])/8 + (17*t[85])/4 - 12*t[86] - (9*t[88])/2 + (49*t[89])/16 + 
       t[95] + t[96] - t[97]/2 + 14*t[98] - 10*t[99] + 7*t[100]) + 
     H1[w, u, v]*HPL[{0, 1}, 1 - v]*(t[1]/4 + (7*t[2])/2 + (3*t[3])/8 - 
       (21*t[4])/4 - (21*t[5])/4 - (23*t[6])/8 - t[7]/4 + (7*t[8])/4 + 
       (7*t[9])/2 + 5*t[10] + (19*t[11])/4 + (9*t[12])/4 - (179*t[13])/144 + 
       (19*t[14])/24 - (29*t[15])/48 + t[19]/2 + t[21]/2 - t[23]/2 + t[25] - 
       (3*t[26])/2 + t[27] - (3*t[28])/2 - t[31]/2 + t[35]/2 - t[37]/2 - 
       t[38]/2 - (3*t[39])/2 + (3*t[40])/2 - 2*t[45] + (3*t[46])/2 + 
       (7*t[47])/2 - (9*t[48])/4 - t[49]/4 - t[50]/2 + (5*t[51])/8 + 
       t[52]/2 + t[53]/4 + (7*t[54])/4 + t[59]/2 - (15*t[60])/4 + 
       (13*t[61])/4 - (3*t[62])/8 - (105*t[63])/8 + (85*t[64])/8 - 
       (13*t[65])/6 + (16*t[66])/3 - t[69]/2 - t[70]/2 + t[71]/2 - t[72] + 
       t[74] - t[75] - (3*t[77])/2 + t[78] - t[79] + 5*t[80] + t[81] - 
       (3*t[82])/2 + (33*t[83])/4 - t[84] + (7*t[85])/4 + 7*t[86] + 
       (17*t[87])/4 + (17*t[88])/8 + (3*t[89])/8 + 2*t[99] + 7*t[100]) + 
     H1[v, w, u]*HPL[{0, 1}, 1 - v]*(t[1]/4 - 9*t[2] - (17*t[3])/8 + 
       (17*t[4])/4 - (11*t[5])/4 + (17*t[6])/8 - (9*t[7])/4 - (13*t[8])/4 - 
       (9*t[9])/2 + (23*t[10])/4 - (17*t[11])/4 - 2*t[12] - (895*t[13])/144 - 
       (37*t[14])/12 - (245*t[15])/48 - (3*t[19])/2 - (3*t[21])/2 + 
       (3*t[23])/2 - t[25] + (5*t[26])/2 + t[27] - (3*t[28])/2 - t[31]/2 + 
       (5*t[35])/2 + (7*t[37])/2 - t[38]/2 - (3*t[39])/2 - t[40]/2 + 
       2*t[45] + t[46]/2 - (5*t[47])/2 - (3*t[48])/4 - 2*t[50] - 
       (5*t[51])/4 + 2*t[52] + (7*t[54])/4 + t[59]/2 + (29*t[60])/4 - 
       (19*t[61])/4 + (19*t[62])/8 - (15*t[63])/8 - (7*t[64])/8 - 
       (41*t[65])/3 - (3*t[66])/2 + (3*t[69])/2 - t[70]/2 + t[71]/2 - t[72] + 
       t[74] + 5*t[75] + t[77]/2 + t[78] + 5*t[79] - 9*t[80] + t[81] + 
       (5*t[82])/2 - (15*t[83])/4 - t[84] + (15*t[85])/4 - 7*t[86] - 
       (23*t[87])/4 - (23*t[88])/8 + (15*t[89])/8 + 2*t[99] + 7*t[100]) + 
     F1[u, v, w]*HPL[{0, 1, 1}, 1 - w]*((3*t[1])/2 + (35*t[2])/4 + 
       (3*t[3])/4 + 8*t[4] + t[5]/8 - (71*t[6])/8 + (165*t[7])/8 - t[8]/8 + 
       (57*t[9])/4 + (373*t[10])/8 + (11*t[11])/2 - (31*t[12])/8 + 
       (787*t[13])/144 + (821*t[14])/48 + (37*t[15])/4 - (7*t[19])/3 - 
       2*t[21] + 2*t[23] - 2*t[24] + 2*t[35] - t[37] - 3*t[41] + 3*t[42] - 
       (11*t[43])/8 + (23*t[45])/4 - (17*t[47])/2 - (23*t[48])/4 + 
       (13*t[49])/2 + (25*t[50])/4 - (17*t[51])/16 - (25*t[52])/4 - 
       (13*t[53])/2 - (55*t[54])/4 + (17*t[60])/2 + (77*t[61])/4 - 
       (327*t[62])/8 + (95*t[63])/8 - (797*t[64])/8 + (71*t[65])/12 - 
       (619*t[66])/12 + t[69] - 4*t[74] - 4*t[75] - 11*t[79] - 4*t[80] - 
       t[81]/2 - (15*t[82])/2 + (49*t[83])/2 - (3*t[84])/4 + 5*t[85] + 
       28*t[86] - (13*t[87])/2 - (13*t[88])/4 - (43*t[89])/4 + 16*t[99] + 
       7*t[100]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - u]*(-2*t[1] + (19*t[4])/2 - 
       (45*t[5])/8 - t[6]/2 - (13*t[7])/8 - (39*t[8])/8 + (21*t[9])/4 - 
       (115*t[10])/8 - (35*t[11])/4 + (45*t[12])/8 + (37*t[13])/24 - 
       (385*t[14])/48 + (5*t[15])/4 + 2*t[25] - t[36] - 2*t[38] - 
       (13*t[43])/8 - (13*t[45])/4 + (13*t[47])/2 + (5*t[48])/4 + 
       (9*t[49])/4 + t[50]/4 - (7*t[51])/16 - t[52]/4 - (3*t[53])/4 + 
       (13*t[54])/2 + t[59] - (15*t[60])/2 - (41*t[61])/4 + (279*t[62])/8 + 
       (61*t[63])/8 - (431*t[64])/8 - (19*t[65])/4 + (53*t[66])/4 - t[69] - 
       4*t[73] + 5*t[75] - 3*t[79] + 2*t[80] - (11*t[83])/2 - (29*t[84])/4 - 
       (33*t[85])/4 - 13*t[86] - (21*t[87])/4 - (21*t[88])/8 - (21*t[89])/4 + 
       16*t[99] + 7*t[100]) + C27[v, w, u]*((-11*t[4])/2 - t[5]/4 - 
       (35*t[6])/8 - t[7] - (17*t[8])/2 + t[9]/4 + (49*t[10])/4 - 
       (35*t[11])/8 + (15*t[12])/4 + (3*t[13])/4 - (47*t[14])/24 + 
       (43*t[15])/24 - t[25] + t[26] + 2*t[27] - t[39] + (3*t[46])/2 - 
       (23*t[48])/8 - (17*t[49])/4 + (9*t[50])/8 + (7*t[51])/4 - 
       (9*t[52])/8 + (17*t[53])/4 + (35*t[54])/8 - (35*t[60])/4 - 3*t[61] + 
       (3*t[62])/8 + (17*t[63])/8 + 4*t[64] + (5*t[65])/6 + (15*t[66])/2 + 
       (3*t[81])/2 - (3*t[82])/2 - t[84] - (21*t[85])/4 + (29*t[87])/4 + 
       (29*t[88])/8 - t[89] + t[90] + t[93] + 8*t[100]) + 
     F1[u, v, w]*HPL[{0, 0, 1}, 1 - u]*(t[1]/2 + (31*t[2])/2 + (23*t[3])/4 + 
       (17*t[4])/4 - 7*t[5] - (99*t[6])/16 + (219*t[7])/16 - (123*t[8])/16 + 
       (247*t[9])/16 - (337*t[10])/16 + (97*t[11])/8 - (5*t[12])/8 + 
       (1397*t[13])/288 - (49*t[14])/48 + (3*t[15])/32 - 2*t[19] + 2*t[21] - 
       2*t[23] + t[24] - t[26] + 2*t[31] + 2*t[35] - 2*t[37] - t[38] - 
       (3*t[41])/2 + (3*t[42])/2 - (37*t[43])/16 + t[45]/8 - t[46]/2 - 
       t[47]/4 - (11*t[48])/2 + (19*t[49])/8 + 2*t[50] - (21*t[51])/16 - 
       2*t[52] - (19*t[53])/8 - (35*t[54])/4 + (37*t[60])/4 - (3*t[61])/2 - 
       (93*t[62])/4 - (103*t[63])/4 - (191*t[64])/4 + (115*t[65])/12 - 
       (131*t[66])/12 - 3*t[69] + t[70] - t[71] - t[74] - 6*t[75] - t[78] - 
       14*t[79] - 6*t[80] - t[81]/2 - (13*t[82])/2 + 15*t[83] - (3*t[84])/2 + 
       (33*t[85])/4 + (61*t[86])/2 - (17*t[87])/4 - (17*t[88])/8 + 
       (17*t[89])/8 + 10*t[99] + 10*t[100]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - w]*((-5*t[1])/2 + (9*t[3])/4 - 
       (117*t[4])/8 + (13*t[5])/8 - (17*t[6])/4 - (7*t[7])/2 - 10*t[8] - 
       (39*t[9])/8 + (61*t[10])/8 - (157*t[11])/8 + (43*t[12])/8 - 
       (745*t[13])/72 - (527*t[14])/96 + (109*t[15])/48 - 4*t[25] + 6*t[26] - 
       t[28] - t[31] + t[35] - t[37] - 2*t[38] - t[39] - t[40] + t[45] - 
       t[46] - 2*t[47] - (7*t[48])/4 + (3*t[49])/4 + (3*t[50])/4 + 
       (13*t[51])/32 - (3*t[52])/4 + (29*t[54])/8 + (3*t[59])/2 - 
       (65*t[60])/4 - (133*t[61])/8 + (391*t[62])/16 + (29*t[63])/16 - 
       (603*t[64])/16 + (157*t[65])/24 + (749*t[66])/24 - t[69] + t[70] - 
       t[71] - 2*t[73] - t[74] - 5*t[75] + t[77] - t[78] - 3*t[79] - 
       2*t[80] - t[81]/2 + t[82]/2 - (3*t[83])/2 - (37*t[84])/8 - 
       (27*t[85])/8 - 9*t[86] + (29*t[87])/8 + (13*t[88])/16 - 2*t[95] + 
       10*t[99] + 10*t[100]) + HPL[{0, 1}, 1 - w]*K1[v, w, u]*
      ((-3*t[1])/4 - (11*t[2])/2 + (3*t[3])/2 - (5*t[4])/8 + (15*t[5])/4 - 
       (21*t[6])/4 - (257*t[7])/16 - (279*t[8])/16 - (381*t[9])/16 + 
       (241*t[10])/8 - (261*t[11])/16 + (11*t[12])/16 - (2923*t[13])/288 - 
       (383*t[14])/32 + (151*t[15])/96 - t[18] + t[19] - 2*t[21] + 2*t[23] - 
       t[24] - t[25] + 2*t[26] + t[27] - 3*t[28] + t[32] - t[33] - t[34] + 
       2*t[35] - 2*t[39] - t[41]/4 - t[42]/4 + (31*t[43])/16 - t[44]/2 + 
       (17*t[45])/8 + t[46]/4 - (21*t[47])/4 - (25*t[48])/16 - 
       (77*t[49])/16 + (15*t[50])/16 + (71*t[51])/32 + t[52]/16 + 
       (77*t[53])/16 + (35*t[54])/16 - t[58]/2 + t[59] - 15*t[60] - 
       (129*t[61])/4 + (177*t[62])/8 + (139*t[63])/8 - (77*t[64])/8 - 
       (113*t[65])/6 + (217*t[66])/6 + t[69] + 2*t[70] - 2*t[71] - 3*t[73] - 
       (9*t[76])/2 + (3*t[78])/2 - 4*t[79] - 8*t[80] - 3*t[81] + 5*t[82] - 
       11*t[83] - (9*t[84])/4 - (7*t[85])/2 - (43*t[86])/2 + (13*t[87])/2 + 
       (13*t[88])/4 - 4*t[89] - 22*t[98] + 14*t[99] + 10*t[100]) + 
     HPL[{0, 1}, 1 - u]*K1[w, u, v]*((-3*t[1])/4 - (9*t[2])/4 - t[3]/2 + 
       (21*t[4])/8 - (115*t[5])/16 - (31*t[6])/16 + 6*t[7] + (25*t[8])/2 - 
       (41*t[9])/16 - (7*t[10])/2 + (93*t[11])/16 + (19*t[12])/16 + 
       (175*t[13])/72 - (155*t[14])/32 - (41*t[15])/32 + t[25] - 
       (3*t[26])/2 - 2*t[28] - t[31] + 2*t[35] - t[36]/2 + t[37]/2 - 
       t[38]/2 - (3*t[39])/2 + 2*t[40] - t[43]/2 - t[44] - t[45]/2 - 
       (5*t[46])/2 + t[47] - (3*t[48])/16 - (3*t[49])/8 - (11*t[50])/16 + 
       (23*t[51])/32 - (5*t[52])/16 - (19*t[53])/8 - (11*t[54])/16 + 
       t[59]/4 + (17*t[60])/8 - (15*t[61])/2 - (185*t[62])/4 - 
       (111*t[63])/4 + (95*t[64])/4 + (269*t[65])/24 + (21*t[66])/8 + t[70] - 
       t[71] + 3*t[72] - 4*t[73] + t[74]/2 - 2*t[75] - 5*t[76] - 
       (3*t[77])/2 + 2*t[78] + 2*t[79] - t[80] - (9*t[81])/4 + (5*t[82])/4 + 
       14*t[83] + (17*t[84])/8 - t[85] + 45*t[86] + (17*t[87])/4 + 
       (53*t[88])/8 + (117*t[89])/16 - t[95] - t[96] + t[97]/2 - 22*t[98] + 
       14*t[99] + 10*t[100]) + H1[w, u, v]*HPL[{0, 1}, 1 - u]*
      (-t[1]/4 + (7*t[2])/2 - t[3]/4 - (33*t[4])/4 - (21*t[5])/16 - 
       (13*t[6])/16 + (67*t[7])/8 + (93*t[8])/8 + (19*t[9])/16 - 
       (59*t[10])/8 + (119*t[11])/16 + (33*t[12])/16 - (11*t[13])/9 - 
       (5*t[14])/4 - (9*t[15])/32 - t[19]/2 + t[21]/2 - t[23]/2 - t[25] + 
       t[26]/2 - t[27] - (3*t[28])/2 - t[31]/2 + t[35]/2 - t[37]/2 - 
       t[38]/2 - (3*t[39])/2 + (3*t[40])/2 - 2*t[45] - t[46]/2 + 
       (7*t[47])/2 - (19*t[48])/16 + (3*t[49])/4 + (21*t[50])/16 - 
       (5*t[51])/8 - (21*t[52])/16 - (3*t[53])/4 - (33*t[54])/16 + t[59]/2 - 
       (41*t[60])/8 + (7*t[61])/8 - (529*t[62])/16 - (383*t[63])/16 + 
       (267*t[64])/16 + (59*t[65])/24 + (5*t[66])/24 - t[69]/2 + t[70]/2 - 
       t[71]/2 + t[72] - 3*t[75] - (3*t[77])/2 - t[78] - 2*t[79] + 5*t[80] - 
       t[81]/2 - 2*t[82] + 11*t[83] - (3*t[84])/8 + (7*t[85])/8 + 43*t[86] + 
       (31*t[87])/8 + (31*t[88])/16 - (27*t[89])/16 - 10*t[99] + 
       (23*t[100])/2) + H1[v, w, u]*HPL[{0, 1}, 1 - w]*
      ((-3*t[1])/4 - 6*t[2] - (3*t[3])/4 - (7*t[4])/4 - (29*t[5])/16 - 
       (53*t[6])/16 - (57*t[7])/8 + t[8]/8 - (125*t[9])/16 + (25*t[10])/4 - 
       (89*t[11])/16 + (115*t[12])/16 - (35*t[13])/9 - (121*t[14])/16 - 
       (511*t[15])/96 + (3*t[19])/2 + (3*t[21])/2 - (3*t[23])/2 - t[25] + 
       (5*t[26])/2 + t[27] + t[28]/2 - t[31]/2 - (3*t[35])/2 - t[37]/2 - 
       t[38]/2 + t[39]/2 - t[40]/2 + (3*t[41])/2 - (3*t[42])/2 - 2*t[45] + 
       (11*t[47])/2 + (37*t[48])/16 - (43*t[49])/8 - (35*t[50])/16 + 
       (41*t[51])/16 + (35*t[52])/16 + (43*t[53])/8 + (63*t[54])/16 + 
       t[59]/2 - (81*t[60])/8 - (129*t[61])/8 + (119*t[62])/16 - 
       (135*t[63])/16 + (291*t[64])/16 + (103*t[65])/24 + (63*t[66])/8 - 
       (3*t[69])/2 + t[70]/2 - t[71]/2 + t[72] + t[75] + t[77]/2 - t[78] + 
       t[79] + 7*t[80] - t[81]/2 + 4*t[82] - (39*t[83])/4 - (3*t[84])/8 - 
       (9*t[85])/8 - 5*t[86] + (47*t[87])/8 + (47*t[88])/16 + (61*t[89])/16 - 
       10*t[99] + (23*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      J1[u, v, w]*((5*t[1])/8 + (31*t[3])/32 - (13*t[4])/4 + (83*t[5])/64 - 
       (79*t[6])/64 + t[7]/32 - (77*t[8])/32 - (145*t[9])/64 - (21*t[10])/4 - 
       (65*t[11])/64 - (13*t[12])/64 + (827*t[13])/576 - (229*t[14])/64 - 
       (65*t[15])/384 - t[28]/8 - t[39]/8 + t[40]/8 - t[45]/8 - t[46]/2 + 
       t[47]/4 - (59*t[48])/64 - (29*t[49])/32 + (57*t[50])/64 + 
       (9*t[51])/64 - (57*t[52])/64 + (29*t[53])/32 - (57*t[54])/64 - 
       (139*t[60])/32 - (191*t[61])/32 - (51*t[62])/64 - (53*t[63])/64 + 
       (509*t[64])/64 + (57*t[65])/32 + (517*t[66])/96 + (5*t[74])/8 - 
       t[75]/4 - t[77]/8 - t[78]/8 - t[79]/4 + t[80]/4 + t[81]/4 - t[82]/4 + 
       (7*t[83])/8 - (31*t[84])/32 + t[85]/32 + (5*t[86])/4 + (89*t[87])/32 + 
       (89*t[88])/64 + (3*t[89])/64 - (3*t[99])/4 + (93*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[u, v, w]*((31*t[3])/32 - (3*t[4])/4 + 
       (63*t[5])/64 - (103*t[6])/64 - (3*t[7])/32 - (9*t[8])/32 - 
       (125*t[9])/64 - (57*t[10])/32 - (73*t[11])/64 + t[12]/64 + 
       (295*t[13])/576 - (397*t[14])/96 - (241*t[15])/384 + (3*t[26])/4 + 
       (5*t[35])/8 - t[37]/8 - (7*t[45])/8 - t[46]/8 + (7*t[47])/4 - 
       (35*t[48])/64 - t[49]/16 + (33*t[50])/64 + t[51]/16 - (33*t[52])/64 + 
       t[53]/16 - (33*t[54])/64 - (139*t[60])/32 - (199*t[61])/32 - 
       (183*t[62])/64 - (129*t[63])/64 + (821*t[64])/64 + (283*t[65])/96 + 
       (107*t[66])/32 + (5*t[74])/8 - t[75]/8 - t[78]/8 - t[79] + t[80]/2 + 
       t[81]/4 - t[82]/8 + (29*t[83])/16 - (31*t[84])/32 + t[85]/32 + 
       (21*t[86])/4 + (89*t[87])/32 + (89*t[88])/64 + (59*t[89])/64 - 
       (3*t[99])/4 + (93*t[100])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      K1[w, u, v]*((-3*t[2])/2 - (5*t[3])/4 + (7*t[4])/4 - 9*t[5] + 
       (7*t[6])/8 - (7*t[7])/2 + 2*t[8] + (7*t[9])/4 - (35*t[10])/8 + 
       (17*t[11])/8 + (5*t[12])/8 - (25*t[13])/12 - (7*t[14])/48 - 
       (29*t[15])/24 + t[28] + t[35] - t[37] + t[39] - t[44] - (3*t[48])/8 - 
       (9*t[49])/8 - (11*t[50])/8 - (7*t[51])/16 + (11*t[52])/8 + 
       (9*t[53])/8 + (25*t[54])/8 + t[60]/4 - (19*t[61])/4 - (37*t[62])/8 + 
       (21*t[63])/8 + (29*t[64])/8 + (37*t[65])/12 - (7*t[66])/12 - t[73] - 
       2*t[75] - t[76] - 2*t[78] - t[82] + 3*t[83] - t[84]/4 + (7*t[85])/4 + 
       (3*t[87])/4 + (3*t[88])/8 + (31*t[89])/8 + 2*t[98] - 10*t[99] + 
       13*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[v, w, u]*
      ((-9*t[2])/2 + 2*t[3] - (11*t[4])/2 - t[5]/2 - (21*t[6])/4 - 5*t[7] - 
       (13*t[8])/4 - 12*t[9] + (77*t[10])/4 - (59*t[11])/4 - (13*t[12])/4 - 
       (59*t[13])/12 - (63*t[14])/8 - (16*t[15])/3 + t[24] - 2*t[28] + 
       2*t[37] - 2*t[39] + t[41]/2 - t[42]/2 + t[47] + t[48]/4 + 
       (5*t[49])/4 - (7*t[50])/4 + (7*t[51])/8 + (7*t[52])/4 - (5*t[53])/4 + 
       (13*t[54])/4 - (9*t[60])/2 - (31*t[61])/2 - (9*t[62])/4 + 
       (15*t[63])/4 + (101*t[64])/4 + t[65]/2 + (49*t[66])/6 - 3*t[75] - 
       3*t[78] + t[79] - t[81] + 2*t[82] - t[83] - (3*t[84])/2 + 
       (3*t[85])/2 + 3*t[86] + (5*t[87])/2 + (5*t[88])/4 + (17*t[89])/4 + 
       2*t[98] - 10*t[99] + 13*t[100]) + F1[w, u, v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((-3*t[1])/4 + (25*t[2])/8 + (59*t[3])/16 - 
       (21*t[4])/4 - (77*t[5])/32 + (9*t[6])/16 + (55*t[7])/16 + 
       (59*t[8])/16 - (51*t[9])/32 + (55*t[10])/16 - (205*t[11])/16 + 
       (217*t[12])/32 - (2101*t[13])/288 - (263*t[14])/32 - (317*t[15])/64 - 
       4*t[25] + (9*t[26])/2 + t[27] - t[28] - t[29] - t[30] - t[31] + 
       t[32]/2 - t[33]/2 - t[34]/2 + 2*t[35] + (3*t[36])/2 + t[37] - 
       t[39]/2 - (5*t[40])/2 + t[41]/4 - t[42]/4 - (13*t[43])/8 + t[44] - 
       (5*t[45])/8 - (5*t[46])/4 + (7*t[47])/4 + (13*t[48])/8 - 3*t[49] + 
       (13*t[50])/8 + (53*t[51])/16 + (7*t[52])/8 + 3*t[53] + (19*t[54])/8 + 
       t[58]/2 + t[59]/4 - (77*t[60])/4 - (287*t[61])/8 + (13*t[62])/16 - 
       (469*t[63])/16 + (3*t[64])/16 + (111*t[65])/8 + (325*t[66])/24 + 
       t[70] - t[71] - t[74] - 11*t[75] - (3*t[76])/2 + t[77] - 6*t[78] + 
       t[79] - (21*t[80])/2 - 4*t[81] + t[82] - t[83]/2 - (3*t[84])/2 - 
       t[85]/4 + (55*t[86])/4 + (67*t[87])/4 + (67*t[88])/8 + (61*t[89])/8 - 
       t[97]/2 - 10*t[98] + 8*t[99] + 13*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*(t[1]/4 + (33*t[2])/4 - 
       (5*t[3])/2 - (45*t[4])/16 - (55*t[5])/8 + (29*t[6])/8 + 8*t[7] + 
       21*t[8] + (53*t[9])/8 - (493*t[10])/32 + 7*t[11] + (139*t[12])/32 + 
       (647*t[13])/144 - (147*t[14])/64 + (55*t[15])/32 - t[19] + t[21] - 
       t[23] - t[26]/2 - 2*t[28] - t[34]/2 + 3*t[35] - t[36] - 2*t[37] - 
       t[38] - t[39] - t[40] + t[41]/4 - t[42]/4 - t[43] + t[44] - 2*t[45] + 
       t[46]/2 + 3*t[47] + (11*t[48])/8 - (23*t[49])/32 + (11*t[50])/8 - 
       (115*t[51])/64 + (9*t[52])/8 + (39*t[53])/32 - (19*t[54])/16 + 
       t[58]/2 + t[59]/4 - (63*t[60])/16 - (283*t[61])/16 - (245*t[62])/32 - 
       (1363*t[63])/32 - (167*t[64])/32 + (255*t[65])/16 + (727*t[66])/48 - 
       t[69] + t[70] - t[71] - t[72] - t[73] - t[74] - 5*t[75] - 
       (5*t[76])/2 + t[77] - 2*t[78] - 7*t[79] - 2*t[80] - 3*t[81] - 
       2*t[82] - (3*t[83])/2 - (19*t[84])/16 + (33*t[85])/16 + 29*t[86] + 
       (191*t[87])/16 + (191*t[88])/32 + (423*t[89])/32 - t[97]/2 - 
       10*t[98] + 8*t[99] + 13*t[100]) + HPL[{0, 1}, 1 - w]*J1[v, w, u]*
      ((3*t[1])/16 - (11*t[2])/4 + (3*t[3])/16 + (31*t[4])/16 - 
       (11*t[5])/64 - (195*t[6])/64 - (167*t[7])/32 - (81*t[8])/32 - 
       (411*t[9])/64 + (147*t[10])/16 - (287*t[11])/64 + (117*t[12])/64 - 
       (41*t[13])/12 - (509*t[14])/192 - (649*t[15])/384 + (5*t[19])/8 + 
       (5*t[21])/8 - (5*t[23])/8 - (3*t[25])/4 + (11*t[26])/8 + (3*t[27])/4 - 
       t[28]/8 + t[31]/8 - (5*t[35])/8 + t[37]/8 + t[38]/8 - t[39]/8 + 
       t[40]/8 + (5*t[41])/8 - (5*t[42])/8 - t[45]/2 + (13*t[47])/8 - 
       (13*t[48])/64 - (77*t[49])/32 - (5*t[50])/64 + (95*t[51])/64 + 
       (5*t[52])/64 + (77*t[53])/32 + (73*t[54])/64 - t[59]/8 - 
       (231*t[60])/32 - (439*t[61])/32 + (577*t[62])/64 - (241*t[63])/64 + 
       (181*t[64])/64 + (97*t[65])/96 + (731*t[66])/96 - (5*t[69])/8 - 
       t[70]/8 + t[71]/8 + (3*t[72])/4 - t[75]/4 - t[77]/8 - (3*t[78])/4 + 
       (3*t[79])/4 + (5*t[80])/4 - (3*t[81])/8 + (5*t[82])/2 - 
       (57*t[83])/16 - (21*t[84])/32 + t[85]/32 - (27*t[86])/4 + 
       (105*t[87])/32 + (105*t[88])/64 + (91*t[89])/64 - (15*t[99])/2 + 
       (113*t[100])/8) + HPL[{0, 1}, 1 - u]*J1[w, u, v]*
      (t[1]/16 - t[2]/8 - (3*t[3])/16 - (39*t[4])/16 - (51*t[5])/64 + 
       (21*t[6])/64 + (77*t[7])/32 + (67*t[8])/32 - (43*t[9])/64 - 
       (237*t[10])/32 + (257*t[11])/64 - (9*t[12])/64 - (47*t[13])/24 - 
       (193*t[14])/48 - (605*t[15])/384 + t[19]/8 - t[21]/8 + t[23]/8 - 
       (3*t[25])/4 - t[26]/8 - (3*t[27])/4 - (5*t[28])/8 + t[31]/8 + 
       (7*t[35])/8 + t[37]/8 + t[38]/8 - (5*t[39])/8 + (5*t[40])/8 - 
       t[45]/2 - (3*t[46])/8 + (9*t[47])/8 - (69*t[48])/64 + (13*t[49])/16 + 
       (51*t[50])/64 - (3*t[51])/32 - (51*t[52])/64 - (13*t[53])/16 - 
       (71*t[54])/64 - t[59]/8 - (159*t[60])/32 - (303*t[61])/32 - 
       (951*t[62])/64 - (697*t[63])/64 + (669*t[64])/64 + (31*t[65])/32 + 
       (193*t[66])/32 + t[69]/8 - t[70]/8 + t[71]/8 + (3*t[72])/4 - 
       (5*t[75])/4 - (5*t[77])/8 - (3*t[78])/4 - t[79]/2 + (3*t[80])/4 - 
       (3*t[81])/8 - t[82] + (25*t[83])/4 - (21*t[84])/32 + (17*t[85])/32 + 
       (81*t[86])/4 + (89*t[87])/32 + (89*t[88])/64 + (99*t[89])/64 - 
       (15*t[99])/2 + (113*t[100])/8) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*(t[1]/4 + (31*t[2])/8 + (5*t[3])/4 - (9*t[4])/4 + 
       (29*t[5])/8 - (9*t[6])/4 - t[7] - (11*t[8])/4 + 5*t[10] - 
       (7*t[11])/2 - (281*t[13])/144 - (33*t[14])/16 + (23*t[15])/12 + 
       t[19]/2 + t[21]/2 - t[23]/2 - t[26]/2 - t[31]/2 + t[35] - t[36]/2 - 
       t[37]/2 - t[38]/2 - t[45]/2 - (3*t[46])/4 + t[47]/2 - (5*t[48])/8 - 
       t[49]/2 + (13*t[50])/8 + (5*t[51])/16 - (13*t[52])/8 + t[53]/2 - 
       (9*t[54])/8 + t[59]/2 - (9*t[60])/4 - (19*t[61])/2 + (35*t[62])/4 - 
       (5*t[63])/4 - (69*t[64])/4 + (7*t[65])/2 + (227*t[66])/12 - t[69]/2 - 
       t[70]/2 + t[71]/2 - 2*t[73] + t[74]/2 + (3*t[75])/2 - t[78]/2 - 
       (5*t[79])/2 + 2*t[80] - (3*t[81])/2 + t[83]/2 - t[84] - 2*t[85] + 
       t[86]/2 + (5*t[87])/2 + (5*t[88])/4 + t[89]/2 + t[99] + 
       (31*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      (t[1]/4 - (25*t[2])/8 - t[3]/2 + (17*t[4])/8 - (35*t[5])/16 - 
       (17*t[6])/4 + (25*t[7])/4 - (19*t[8])/4 + (9*t[9])/16 + 
       (151*t[10])/16 - (7*t[11])/2 - (7*t[12])/4 - (607*t[13])/144 - 
       (313*t[14])/96 - (65*t[15])/32 - t[19]/2 - t[21]/2 + t[23]/2 - 
       t[24]/2 - t[25] + (3*t[26])/2 - t[28]/2 + (7*t[35])/2 + (5*t[37])/2 - 
       t[38]/2 - t[39]/2 - t[40]/2 + t[43]/4 + (3*t[45])/2 - t[47] - 
       (11*t[48])/8 + (5*t[49])/16 + (11*t[50])/8 - (21*t[51])/32 - 
       (11*t[52])/8 - (5*t[53])/16 - (7*t[54])/4 + t[59]/2 + (15*t[60])/8 - 
       (125*t[61])/8 - (107*t[62])/16 - (57*t[63])/16 - (139*t[64])/16 - 
       (4*t[65])/3 + (19*t[66])/4 + t[69]/2 - t[70]/2 + t[71]/2 + t[74] + 
       t[75]/2 + t[77]/2 - t[78]/2 - (3*t[79])/2 - 5*t[80] - (3*t[81])/4 + 
       (3*t[82])/4 + (7*t[83])/4 - (3*t[84])/2 + (9*t[85])/8 + 12*t[86] - 
       (9*t[87])/8 - (9*t[88])/16 + (63*t[89])/16 + t[99] + (31*t[100])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (t[1]/2 + (11*t[2])/4 + (15*t[3])/4 - (31*t[4])/4 + 10*t[5] - t[6]/8 + 
       (7*t[7])/4 - (5*t[8])/4 - (11*t[9])/4 - (41*t[10])/8 - (9*t[11])/8 - 
       (7*t[12])/8 + (11*t[13])/8 - (361*t[14])/48 + (173*t[15])/24 - t[21] + 
       t[23] - t[24] - t[30] - t[37] - t[41] + t[42] - t[44] + 2*t[45] + 
       t[46]/2 - 6*t[47] + (5*t[48])/8 - (17*t[49])/8 + (25*t[50])/8 + 
       (19*t[51])/16 - (25*t[52])/8 + (17*t[53])/8 - (11*t[54])/8 + t[59]/2 - 
       (27*t[60])/4 - (47*t[61])/4 + (93*t[62])/8 - (17*t[63])/8 - 
       (125*t[64])/8 + 14*t[65] + (103*t[66])/6 + t[69] - 2*t[73] - 2*t[74] + 
       t[75] - 2*t[76] + 2*t[78] - 5*t[80] - (5*t[81])/2 + (7*t[82])/2 - 
       t[83] - t[84] - (9*t[85])/4 + t[86] + (13*t[87])/4 + (13*t[88])/8 + 
       (17*t[89])/8 - 18*t[98] + 26*t[99] + 16*t[100]) + 
     H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*((13*t[3])/8 + t[4] + 
       (69*t[5])/16 + (31*t[6])/16 - (9*t[7])/8 - (27*t[8])/8 - 
       (95*t[9])/16 - (163*t[10])/8 + (73*t[11])/16 + (3*t[12])/16 + 
       (253*t[13])/144 - (139*t[14])/24 + (37*t[15])/96 + t[26] - t[35]/2 - 
       (3*t[37])/2 - t[45]/2 + (3*t[46])/2 + t[47] - (5*t[48])/16 - 
       (3*t[49])/4 + (39*t[50])/16 - (39*t[52])/16 + (3*t[53])/4 - 
       (39*t[54])/16 - (37*t[60])/8 - (41*t[61])/8 + (7*t[62])/16 + 
       (65*t[63])/16 + (163*t[64])/16 + t[65]/24 + (73*t[66])/8 - t[74]/2 + 
       t[75]/2 - (3*t[78])/2 - 4*t[79] + 2*t[80] - 2*t[81] + (7*t[82])/2 + 
       (7*t[83])/4 - (13*t[84])/8 - (17*t[85])/8 + 3*t[86] + (47*t[87])/8 + 
       (47*t[88])/16 - (51*t[89])/16 - 9*t[99] + (39*t[100])/2) + 
     H1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(-t[1]/2 + (13*t[3])/8 - 
       5*t[4] + (49*t[5])/16 - (25*t[6])/16 - (9*t[7])/8 - (3*t[8])/8 - 
       (75*t[9])/16 + (15*t[10])/2 + (17*t[11])/16 - (23*t[12])/16 - 
       (63*t[13])/16 - (145*t[14])/48 - (59*t[15])/96 - (3*t[28])/2 - 
       (3*t[39])/2 + (3*t[40])/2 - (3*t[45])/2 - 2*t[46] + 3*t[47] + 
       (3*t[48])/16 + (9*t[49])/8 + (31*t[50])/16 + (19*t[51])/16 - 
       (31*t[52])/16 - (9*t[53])/8 - (31*t[54])/16 - (53*t[60])/8 - 
       (17*t[61])/8 - (109*t[62])/16 + (101*t[63])/16 + (363*t[64])/16 + 
       (17*t[65])/24 + (455*t[66])/24 - t[74]/2 - 3*t[75] - (3*t[77])/2 - 
       (3*t[78])/2 + 3*t[79] + 3*t[80] - 2*t[81] + 2*t[82] + (13*t[83])/2 - 
       (13*t[84])/8 - (17*t[85])/8 + 9*t[86] + (63*t[87])/8 + (63*t[88])/16 - 
       (43*t[89])/16 - 9*t[99] + (39*t[100])/2) + F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(t[1]/4 + 2*t[2] - (3*t[3])/4 - (5*t[4])/8 - 
       (5*t[5])/2 - 2*t[6] + (225*t[7])/16 + (279*t[8])/16 + (221*t[9])/16 - 
       16*t[10] + (65*t[11])/16 - (9*t[12])/16 + (473*t[13])/96 + 
       (141*t[14])/32 - (511*t[15])/96 + t[18] + 3*t[21] - 3*t[23] + t[24] + 
       3*t[28] + 2*t[31] - t[32] + t[33] + t[34] + t[35] + t[37] + 2*t[39] + 
       (5*t[41])/4 - (3*t[42])/4 - (31*t[43])/16 + t[44]/2 - (25*t[45])/8 + 
       t[46]/4 + (33*t[47])/4 + (9*t[48])/16 + (43*t[49])/16 - 
       (15*t[50])/16 + (7*t[51])/32 - t[52]/16 - (43*t[53])/16 - 
       (7*t[54])/16 + t[58]/2 - 2*t[59] + (5*t[60])/2 + (9*t[61])/4 - 
       (149*t[62])/8 - (163*t[63])/8 + (123*t[64])/8 + (99*t[65])/4 - 
       (143*t[66])/6 - 2*t[69] - 2*t[70] + 2*t[71] + t[72] + 3*t[73] + 
       t[74] + (9*t[76])/2 - (5*t[78])/2 + 3*t[79] + 11*t[80] + t[81] + 
       11*t[83] + t[84]/4 + (15*t[85])/4 + (55*t[86])/2 - t[87]/4 - t[88]/8 + 
       (35*t[89])/4 + 22*t[98] - 24*t[99] + (41*t[100])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*((7*t[1])/4 + 3*t[2] + 
       t[3] - (89*t[4])/8 + (143*t[5])/16 + (31*t[6])/16 - (13*t[7])/4 - 
       (43*t[8])/4 - (19*t[9])/16 - (35*t[10])/4 - (49*t[11])/16 + 
       (13*t[12])/16 - (443*t[13])/72 - (173*t[14])/32 + (151*t[15])/96 - 
       4*t[25] + (5*t[26])/2 - t[27] + t[28] + t[31] - t[35] + t[36]/2 - 
       t[37]/2 + (3*t[38])/2 + t[39]/2 - t[40] + t[43]/2 + t[44] - t[45]/2 + 
       (5*t[46])/2 + t[47] - (25*t[48])/16 - (19*t[49])/8 + (55*t[50])/16 - 
       (31*t[51])/32 - (39*t[52])/16 + (41*t[53])/8 - (33*t[54])/16 - 
       (3*t[59])/4 - (113*t[60])/8 - 11*t[61] + (139*t[62])/4 + 
       (55*t[63])/4 - (61*t[64])/4 - (127*t[65])/24 + (583*t[66])/24 - 
       t[70] + t[71] - 2*t[72] + 3*t[73] - t[74]/2 + 3*t[75] + 5*t[76] + 
       t[77]/2 - 3*t[78] - 3*t[79] + 3*t[80] + t[81]/4 - (5*t[82])/4 - 
       10*t[83] - (35*t[84])/8 - 18*t[86] + (13*t[87])/4 - (23*t[88])/8 - 
       (81*t[89])/16 + t[95] + t[96] - t[97]/2 + 22*t[98] - 24*t[99] + 
       (41*t[100])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      ((-15*t[2])/16 + (3*t[3])/4 - (7*t[4])/2 + (3*t[5])/2 - (55*t[6])/16 - 
       (17*t[8])/2 - (29*t[9])/8 - (37*t[10])/16 - t[11]/8 - (3*t[12])/16 - 
       (997*t[13])/288 - (173*t[14])/32 + (23*t[15])/16 - t[25] + t[26] - 
       t[29]/2 + t[30]/2 - t[35]/4 + t[43]/2 + t[46]/2 - (41*t[48])/16 - 
       (11*t[49])/16 + (45*t[50])/16 - t[51]/32 - (45*t[52])/16 + 
       (11*t[53])/16 - (63*t[54])/16 - 7*t[60] - (25*t[61])/4 + (9*t[62])/4 - 
       (7*t[63])/8 + (91*t[64])/16 - (43*t[65])/48 + (129*t[66])/16 + 
       (3*t[73])/2 + t[75]/2 + t[76] + t[80] - t[81]/8 + t[82]/8 + 
       (51*t[83])/8 - (23*t[84])/16 - (9*t[85])/8 + 2*t[86] + (9*t[87])/2 + 
       (9*t[88])/4 - (25*t[89])/16 + 4*t[98] - 12*t[99] + 22*t[100]) + 
     HPL[{0, 1}, 1 - u]*J1[u, v, w]*((5*t[1])/16 - (5*t[2])/4 + 
       (35*t[3])/16 - (35*t[4])/16 + (249*t[5])/64 - (55*t[6])/64 - 
       (95*t[7])/32 - (193*t[8])/32 - (279*t[9])/64 + (303*t[10])/32 - 
       (435*t[11])/64 - (21*t[12])/64 - (25*t[13])/16 - (257*t[14])/48 - 
       (99*t[15])/128 + t[19]/8 - t[21]/8 + t[23]/8 - (3*t[25])/4 + 
       (7*t[26])/8 + (3*t[27])/4 + (11*t[28])/8 + (5*t[31])/8 - (9*t[35])/8 + 
       (5*t[37])/8 + (5*t[38])/8 + (11*t[39])/8 + t[40]/8 + t[46]/8 + 
       t[47]/8 - (97*t[48])/64 - (13*t[49])/16 + (71*t[50])/64 + 
       (5*t[51])/32 - (71*t[52])/64 + (13*t[53])/16 - (43*t[54])/64 - 
       (5*t[59])/8 - (283*t[60])/32 - (435*t[61])/32 + (377*t[62])/64 + 
       (807*t[63])/64 + (457*t[64])/64 + (103*t[65])/32 + (401*t[66])/32 + 
       t[69]/8 - (5*t[70])/8 + (5*t[71])/8 - (3*t[72])/4 + t[74]/2 + 
       (5*t[75])/4 - t[77]/8 + (5*t[78])/4 + 2*t[79] + t[80]/4 - t[81]/8 + 
       (7*t[82])/4 - (3*t[83])/4 - (73*t[84])/32 - (3*t[85])/32 - 
       (41*t[86])/4 + (101*t[87])/32 + (101*t[88])/64 - t[89]/64 + 
       (9*t[99])/2 + (197*t[100])/8) + HPL[{0, 1}, 1 - w]*J1[u, v, w]*
      ((15*t[1])/16 - t[2] + (35*t[3])/16 + (41*t[4])/16 + (185*t[5])/64 - 
       (31*t[6])/64 + (65*t[7])/32 + (23*t[8])/32 - (215*t[9])/64 - 7*t[10] - 
       (179*t[11])/64 - (187*t[12])/64 + (67*t[13])/36 - (1699*t[14])/192 - 
       (709*t[15])/384 + t[19]/8 + t[21]/8 - t[23]/8 + (3*t[25])/4 - 
       (5*t[26])/8 - (3*t[27])/4 - t[28]/8 + (5*t[31])/8 - t[35]/8 + 
       (5*t[37])/8 + (5*t[38])/8 - t[39]/8 + t[40]/8 + t[41]/8 - t[42]/8 - 
       2*t[45] + t[46]/4 + (33*t[47])/8 - (33*t[48])/64 + (25*t[49])/32 + 
       (7*t[50])/64 - (75*t[51])/64 - (7*t[52])/64 - (25*t[53])/32 + 
       (21*t[54])/64 - (5*t[59])/8 - (267*t[60])/32 - (443*t[61])/32 - 
       (275*t[62])/64 + (115*t[63])/64 + (1769*t[64])/64 + (581*t[65])/96 + 
       (109*t[66])/32 - t[69]/8 - (5*t[70])/8 + (5*t[71])/8 - (3*t[72])/4 + 
       t[74]/2 + (11*t[75])/4 - t[77]/8 + (5*t[78])/4 + (7*t[79])/4 + 
       (9*t[80])/4 - t[81]/8 + t[82]/4 + (23*t[83])/16 - (73*t[84])/32 - 
       (3*t[85])/32 + (43*t[86])/4 + (133*t[87])/32 + (133*t[88])/64 + 
       (159*t[89])/64 + (9*t[99])/2 + (197*t[100])/8) + 
     HPL[{0, 1}, 1 - w]^2*Phi6[u, v, w]*((55*t[2])/16 + (11*t[3])/4 + 
       (207*t[4])/32 - (103*t[5])/32 + (3*t[6])/16 + (45*t[7])/16 - 
       (13*t[8])/2 + (113*t[9])/32 - (73*t[10])/64 + (31*t[11])/8 - 
       (139*t[12])/64 + (37*t[13])/48 - (1877*t[14])/384 - (155*t[15])/32 - 
       t[25] + (5*t[26])/4 + t[29]/2 + t[30]/2 - t[31] + t[32]/4 - t[33]/4 - 
       t[34]/4 - t[35]/2 + t[36]/4 + t[37] - t[39]/4 - (3*t[40])/4 + 
       t[41]/8 - t[42]/8 - (7*t[43])/8 + t[44]/2 + (5*t[45])/16 - 
       (13*t[46])/8 - (3*t[47])/8 - (15*t[48])/8 + (205*t[49])/64 + 
       (29*t[50])/8 - (91*t[51])/128 - (19*t[52])/8 - (189*t[53])/64 - 
       (197*t[54])/32 + t[58]/4 + t[59]/8 - (65*t[60])/32 - (499*t[61])/32 - 
       (745*t[62])/64 - (799*t[63])/64 + (833*t[64])/64 - t[65]/32 - 
       (677*t[66])/96 - t[72]/2 + (3*t[73])/2 - (5*t[75])/2 - (5*t[76])/4 + 
       t[77]/4 + (3*t[78])/2 - (5*t[79])/2 - (19*t[80])/4 + (7*t[81])/4 - 
       (13*t[82])/2 + 2*t[83] - (31*t[84])/32 + (65*t[85])/32 + 
       (167*t[86])/8 + (55*t[87])/32 + (55*t[88])/64 + (117*t[89])/64 - 
       t[97]/4 - 5*t[98] + 6*t[99] + 25*t[100]) + HPL[{0, 1}, 1 - u]^2*
      Phi6[u, v, w]*((3*t[1])/4 + (37*t[2])/16 + (21*t[3])/8 + (43*t[4])/32 - 
       (151*t[5])/32 + (25*t[6])/16 - (49*t[7])/16 + (41*t[8])/8 - 
       (95*t[9])/32 - (141*t[10])/64 - (35*t[11])/8 + (73*t[12])/64 - 
       (11*t[13])/4 - (2177*t[14])/384 - (49*t[15])/96 + t[26]/4 + t[29]/2 + 
       t[30]/2 + t[31]/2 + t[32]/4 - t[33]/4 - t[34]/4 + t[35]/2 - t[36]/4 - 
       t[37]/2 - t[39]/4 - (3*t[40])/4 + t[41]/8 - t[42]/8 - (5*t[43])/8 + 
       t[44]/2 + (5*t[45])/16 + (9*t[46])/8 - (3*t[47])/8 - t[48]/4 - 
       (87*t[49])/64 + t[50]/2 - (63*t[51])/128 + (3*t[52])/4 + 
       (103*t[53])/64 + (51*t[54])/32 + t[58]/4 + t[59]/8 - (201*t[60])/32 - 
       (587*t[61])/32 + (579*t[62])/64 - (251*t[63])/64 + (385*t[64])/64 + 
       (665*t[65])/96 + (1903*t[66])/96 - t[72]/2 + t[73]/2 - t[75]/2 - 
       (5*t[76])/4 + t[77]/4 - t[78]/2 - t[79]/2 - (7*t[80])/4 - 
       (5*t[81])/4 - t[82]/2 - (19*t[83])/4 - (39*t[84])/32 + t[85]/32 + 
       (7*t[86])/8 + (151*t[87])/32 + (151*t[88])/64 + (229*t[89])/64 - 
       t[97]/4 - 5*t[98] + 6*t[99] + 25*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      ((31*t[2])/4 + t[3] + (33*t[4])/4 - (45*t[5])/4 - 4*t[6] + 
       (61*t[7])/4 - (39*t[8])/4 + (33*t[9])/2 + (57*t[10])/8 + 
       (13*t[11])/4 + t[12]/8 - (155*t[13])/36 + (85*t[14])/8 + 
       (31*t[15])/8 - (7*t[19])/3 - 2*t[21] + 2*t[23] - 2*t[24] + 4*t[31] + 
       2*t[35] + t[37] - 2*t[41] + 2*t[42] + 2*t[43] + 5*t[45] - 7*t[47] - 
       10*t[48] + (15*t[49])/8 + 4*t[50] - (7*t[51])/4 - 4*t[52] - 
       (15*t[53])/8 - (33*t[54])/4 + (37*t[60])/4 - (21*t[61])/2 - 
       (15*t[62])/4 + (45*t[63])/4 - 55*t[64] - (26*t[65])/3 - (68*t[66])/3 + 
       2*t[69] - 4*t[74] - 2*t[75] - 7*t[79] - 18*t[80] - t[81]/2 - 
       (7*t[82])/2 + 14*t[83] - (5*t[84])/2 + (39*t[85])/4 + 11*t[86] - 
       (35*t[87])/4 - (35*t[88])/8 - (9*t[89])/8 + 8*t[99] + 26*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((15*t[4])/4 - (53*t[5])/8 - (7*t[6])/4 - (5*t[7])/8 - (31*t[8])/8 + 
       (29*t[9])/4 + (5*t[10])/8 - (21*t[11])/4 - (29*t[12])/8 - 
       (19*t[13])/24 - (15*t[14])/8 - (23*t[15])/6 - 3*t[36] - (13*t[43])/8 - 
       (13*t[45])/4 + t[46] + (13*t[47])/2 - t[48] + 2*t[49] - t[51] - 
       2*t[53] + 2*t[54] - 6*t[60] - (17*t[61])/2 + (27*t[62])/2 + 
       (17*t[63])/2 - (27*t[64])/4 - (13*t[65])/6 + (19*t[66])/2 - 4*t[73] + 
       7*t[75] - 3*t[79] + t[81] - t[82] - t[83] - (7*t[84])/2 - t[85] - 
       7*t[86] + 3*t[87] + (3*t[88])/2 + (17*t[89])/4 + 8*t[99] + 
       26*t[100]) + F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      ((-3*t[2])/4 + (7*t[3])/8 + (33*t[5])/16 - (71*t[6])/16 + (3*t[7])/8 - 
       (79*t[8])/8 - (27*t[9])/16 + (7*t[10])/4 - (9*t[11])/16 - 
       (35*t[12])/16 - (497*t[13])/144 - (145*t[14])/48 - (5*t[15])/32 - 
       t[25] + t[26] - t[36] + t[43]/2 + t[46] - (39*t[48])/16 + 
       (13*t[49])/8 + (37*t[50])/16 - (11*t[51])/16 - (37*t[52])/16 - 
       (13*t[53])/8 - (61*t[54])/16 - (7*t[60])/8 - (47*t[61])/8 + 
       (17*t[62])/16 - (21*t[63])/16 - (15*t[64])/16 - (185*t[65])/24 + 
       (37*t[66])/24 + (3*t[73])/2 + t[76] - t[79] + t[80] + t[81]/2 - 
       t[82]/2 + 8*t[83] - (7*t[84])/8 + t[85]/8 + t[86] - (11*t[87])/8 - 
       (11*t[88])/16 - (41*t[89])/16 + 4*t[98] - 12*t[99] + (53*t[100])/2) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((5*t[2])/8 + (13*t[3])/8 - (13*t[4])/4 + (55*t[5])/16 - (35*t[6])/16 + 
       (5*t[7])/4 - (43*t[8])/4 - (43*t[9])/16 - (29*t[10])/8 - 
       (37*t[11])/16 - (35*t[12])/16 - (635*t[13])/144 - (91*t[14])/16 + 
       (97*t[15])/96 - t[19]/2 + t[21]/2 - t[23]/2 + t[24]/2 - t[25] + 
       t[26] + t[31]/2 - 2*t[35] + t[37]/2 + t[43]/2 + t[46]/2 - t[47] - 
       (43*t[48])/16 - t[49]/8 + (33*t[50])/16 - (5*t[51])/16 - 
       (33*t[52])/16 + t[53]/8 - (69*t[54])/16 - t[59]/4 - (33*t[60])/8 - 
       (79*t[61])/8 + (87*t[62])/16 - (19*t[63])/16 + (19*t[64])/16 - 
       (97*t[65])/24 + (59*t[66])/8 - t[69]/2 + 2*t[73] + t[74]/2 + t[76] - 
       t[79]/2 + t[80] + (21*t[83])/4 - (11*t[84])/8 + (11*t[85])/8 - 
       t[86]/2 + (7*t[87])/8 + (7*t[88])/16 - (27*t[89])/16 + 4*t[98] - 
       12*t[99] + (53*t[100])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      K1[u, v, w]*(t[1] - (3*t[2])/4 + (9*t[3])/4 + (7*t[4])/2 + (3*t[5])/8 - 
       (11*t[6])/4 - (27*t[7])/4 - (53*t[8])/4 - (41*t[9])/8 - (5*t[10])/2 - 
       t[11]/4 + (9*t[12])/8 + (4*t[13])/9 - (145*t[14])/24 - (37*t[15])/48 - 
       t[37] - t[43]/2 - t[46]/2 - (9*t[48])/4 - (3*t[49])/4 + (11*t[50])/4 - 
       t[51]/4 - (11*t[52])/4 + (3*t[53])/4 - (15*t[54])/4 + t[59]/2 - 
       (45*t[60])/4 - (65*t[61])/4 + (91*t[62])/8 + (65*t[63])/8 + 
       (83*t[64])/8 - (7*t[65])/4 + (50*t[66])/3 + t[74] - 2*t[79] - 
       2*t[80] + 2*t[83] - (5*t[84])/2 - t[85]/2 - 15*t[86] + (13*t[87])/2 + 
       (13*t[88])/4 - t[89]/8 + (57*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[u, v, w]*((5*t[3])/2 - 3*t[4] + 
       (15*t[5])/4 - (13*t[6])/4 - t[7] - 4*t[8] - (25*t[9])/4 + 5*t[10] - 
       (17*t[11])/4 - (7*t[12])/4 - (5*t[13])/12 - (25*t[14])/3 - 
       (7*t[15])/8 + t[26] + t[35] - t[45] - t[46] + 2*t[47] - (7*t[48])/4 + 
       t[49] + (9*t[50])/4 - t[51]/2 - (9*t[52])/4 - t[53] - (9*t[54])/4 - 
       (25*t[60])/2 - (33*t[61])/2 - (13*t[62])/4 - (5*t[63])/4 + 
       (113*t[64])/4 + (7*t[65])/2 + (59*t[66])/6 + t[73] + 2*t[74] - 
       3*t[75] + 8*t[83] - (5*t[84])/2 - t[85]/2 + 8*t[86] + (15*t[87])/2 + 
       (15*t[88])/4 + (3*t[89])/4 + (57*t[100])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*(t[1]/2 - (3*t[2])/4 + 
       2*t[3] + (53*t[4])/8 + (9*t[5])/4 - (41*t[6])/8 - t[7] - (27*t[8])/2 - 
       (23*t[9])/2 - (13*t[10])/4 + (21*t[11])/4 - (3*t[12])/8 + 
       (22*t[13])/3 - (1181*t[14])/96 + (13*t[15])/24 - t[25] + t[26] + 
       t[27] - t[28] - 4*t[36] - 2*t[37] - t[39] - t[45] + t[46] + 2*t[47] - 
       (37*t[48])/8 - (7*t[49])/8 + (47*t[50])/8 - (61*t[51])/32 - 
       (47*t[52])/8 + t[53]/8 - (45*t[54])/4 - (13*t[60])/4 - (149*t[61])/8 + 
       (121*t[62])/16 - (253*t[63])/16 + (353*t[64])/16 + (79*t[65])/24 + 
       (317*t[66])/24 - t[69] - t[70] + t[71] + 2*t[72] + t[73] + t[74] + 
       5*t[75] + 2*t[76] - (5*t[78])/2 + 3*t[79] + 5*t[80] + t[82]/2 + 
       (5*t[83])/2 + (9*t[84])/8 + (15*t[85])/8 + 7*t[86] + (23*t[87])/8 + 
       (23*t[88])/16 + (11*t[89])/2 + 10*t[98] - 26*t[99] + 29*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*(t[1] - 7*t[2] + t[3] - 
       (39*t[4])/4 + (13*t[5])/2 - (103*t[6])/16 + (23*t[7])/16 - 
       (231*t[8])/16 - (325*t[9])/16 - (65*t[10])/16 - t[11]/8 - 
       (33*t[12])/8 - (1283*t[13])/288 - (971*t[14])/48 + (59*t[15])/32 - 
       t[19] - t[21] + t[23] - t[24] - t[25] + t[26] + t[27] - t[28] - 
       t[31] - t[35] - t[36] - t[39] - t[41]/2 + t[42]/2 + (27*t[43])/16 + 
       (5*t[45])/8 + (3*t[46])/2 - (9*t[47])/4 - (7*t[48])/2 - (27*t[49])/8 + 
       (11*t[50])/2 + (17*t[51])/16 - (11*t[52])/2 + (27*t[53])/8 - 
       (25*t[54])/4 - (77*t[60])/4 - 39*t[61] + (71*t[62])/4 - (19*t[63])/4 + 
       (177*t[64])/4 + (85*t[65])/12 + (239*t[66])/6 - t[70] + t[71] + 
       2*t[72] + 3*t[73] + 2*t[74] + 2*t[75] + 2*t[76] - (5*t[78])/2 + 
       7*t[79] + 4*t[80] - t[81] + (11*t[82])/2 + (7*t[83])/2 - (7*t[84])/4 - 
       (3*t[85])/2 + (9*t[86])/2 + 11*t[87] + (11*t[88])/2 + (45*t[89])/8 + 
       10*t[98] - 26*t[99] + 29*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      K1[v, w, u]*(2*t[3] + t[4] + (7*t[5])/2 - t[6]/2 - (3*t[7])/2 - 
       (7*t[8])/2 - (11*t[9])/2 - 17*t[10] + 3*t[11] + t[12] + (10*t[13])/9 - 
       (53*t[14])/6 - t[15]/12 + t[26] + t[27] - t[37] - t[45] + 2*t[46] + 
       2*t[47] - t[48] - (3*t[49])/2 + 2*t[50] - t[51]/2 - 2*t[52] + 
       (3*t[53])/2 - 2*t[54] - 7*t[60] - (19*t[61])/2 + 3*t[62] + 
       (5*t[63])/4 + (65*t[64])/4 + (10*t[65])/3 + (38*t[66])/3 - t[73] + 
       t[74] + 2*t[75] - t[76] - 2*t[79] + 2*t[80] - 2*t[81] + 4*t[82] + 
       t[83] - 2*t[84] - t[85] + 4*t[86] + 6*t[87] + 3*t[88] - 6*t[98] + 
       30*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[w, u, v]*
      (t[1] + (7*t[3])/2 - (41*t[4])/4 + (17*t[5])/4 - (9*t[6])/8 - 5*t[7] + 
       t[8]/2 - (29*t[9])/4 + (99*t[10])/8 - (23*t[11])/8 - (15*t[12])/8 - 
       (109*t[13])/18 - (397*t[14])/48 - (3*t[15])/2 - 2*t[25] + t[26] - 
       2*t[28] + t[38] - 2*t[39] + t[40] - t[44] - t[45] - t[46]/2 + 
       2*t[47] - (9*t[48])/8 - (9*t[49])/8 + (7*t[50])/8 + (7*t[51])/16 - 
       (7*t[52])/8 + (9*t[53])/8 + (3*t[54])/8 - t[59]/2 - (39*t[60])/4 - 
       (53*t[61])/4 - (21*t[62])/8 + (27*t[63])/8 + (181*t[64])/8 + 
       (25*t[65])/6 + (139*t[66])/6 - 2*t[73] + t[74] - t[76] - t[77] - 
       t[78] + 4*t[79] + 2*t[80] - (5*t[81])/2 + (3*t[82])/2 + 6*t[83] - 
       3*t[84] + t[85]/4 + 6*t[86] + (31*t[87])/4 + (31*t[88])/8 + 
       (9*t[89])/8 - 6*t[98] + 30*t[100]) + A11[u, v, w]*HPL[{1}, 1 - w]*
      ((7*t[1])/4 - (3*t[2])/4 + 2*t[3] - (37*t[4])/8 - (3*t[5])/8 - 
       (21*t[6])/4 + (105*t[7])/16 + (35*t[8])/16 + (75*t[9])/16 - 
       (7*t[10])/2 + (57*t[11])/16 + (45*t[12])/16 + (217*t[13])/96 - 
       (155*t[14])/32 - (305*t[15])/96 + t[18] + t[21] - t[23] + t[24] - 
       t[25] + t[26]/2 + t[27] + t[34] + t[38] + t[41]/4 + t[42]/4 - 
       (31*t[43])/16 + t[44]/2 - (9*t[45])/8 + (3*t[46])/4 + (17*t[47])/4 - 
       (7*t[48])/16 - (21*t[49])/16 + (17*t[50])/16 + (11*t[51])/32 - 
       (33*t[52])/16 + (21*t[53])/16 - (23*t[54])/16 - (3*t[59])/2 - 
       (7*t[60])/4 - (27*t[61])/2 - (39*t[62])/4 - (91*t[63])/4 + 
       (57*t[64])/4 + (95*t[65])/4 - (65*t[66])/12 - 2*t[70] + 2*t[71] - 
       t[74] + 2*t[76] - 2*t[78] + 4*t[80] - t[81]/2 + (5*t[82])/2 - 
       t[84]/2 + (7*t[85])/4 + (25*t[86])/2 + (5*t[87])/4 + (5*t[88])/8 + 
       (73*t[89])/8 + 12*t[98] - 18*t[99] + 30*t[100]) + 
     A11[u, v, w]*HPL[{1}, 1 - u]*(t[1]/4 + (3*t[2])/4 + (3*t[3])/2 - 
       (59*t[4])/8 + (17*t[5])/16 - (39*t[6])/16 - (3*t[7])/4 - (17*t[8])/4 - 
       (17*t[9])/16 - (9*t[10])/8 - (119*t[11])/16 - (3*t[12])/16 - 
       (119*t[13])/36 - (773*t[14])/96 - (71*t[15])/96 - t[25] + t[26]/2 + 
       t[31] + t[36]/2 + t[37]/2 + t[38]/2 - t[39]/2 - t[45]/2 + t[47] - 
       (11*t[48])/16 + (3*t[49])/2 + (29*t[50])/16 + (7*t[51])/32 - 
       (13*t[52])/16 + (5*t[53])/4 + (13*t[54])/16 - (3*t[59])/4 - 
       (127*t[60])/8 - (97*t[61])/4 + (87*t[62])/8 + (29*t[63])/8 + 
       (87*t[64])/8 + (19*t[65])/8 + (57*t[66])/8 - t[70] + t[71] - 2*t[72] - 
       t[74]/2 + 2*t[76] - t[77]/2 - 3*t[78] + t[80] - t[81]/4 + 
       (3*t[82])/4 - t[83] - (31*t[84])/8 + (5*t[85])/4 + t[86] + 4*t[87] - 
       (5*t[88])/2 + (21*t[89])/16 + t[95] + t[96] - t[97]/2 + 12*t[98] - 
       18*t[99] + 30*t[100]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - v]*
      ((5*t[3])/4 - 12*t[4] + (39*t[5])/4 + (7*t[6])/2 - (25*t[7])/2 + 
       18*t[8] - 18*t[9] - (9*t[10])/2 - 8*t[11] + t[12]/4 - (17*t[13])/18 - 
       (109*t[14])/6 + (95*t[15])/12 - 4*t[28] + (7*t[29])/4 - t[30] + 
       4*t[35] - (15*t[39])/2 + (15*t[40])/2 - (35*t[44])/4 + 4*t[45] - 
       8*t[47] + (3*t[48])/2 - 2*t[49] + (7*t[50])/2 + 2*t[51] - 
       (7*t[52])/2 + 2*t[53] + (17*t[54])/2 - (43*t[60])/2 - (33*t[61])/4 + 
       (193*t[62])/8 + (111*t[63])/8 + (153*t[64])/8 + (85*t[65])/6 + 
       44*t[66] - 5*t[73] - 10*t[76] - 4*t[77] + 8*t[78] - 8*t[80] - 
       7*t[81] + 9*t[82] + 13*t[83] - 6*t[84] - 8*t[85] - 8*t[86] + 
       20*t[87] + 10*t[88] + t[89] - 78*t[98] + 96*t[99] + 30*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      ((-3*t[2])/2 + (11*t[3])/4 - 12*t[4] - (5*t[5])/4 + (19*t[6])/8 - 
       8*t[7] + (7*t[8])/2 - 12*t[9] - 11*t[10] - (33*t[11])/8 - t[12] - 
       (89*t[13])/12 - (21*t[14])/2 + (5*t[15])/12 - 3*t[25] + 3*t[26] + 
       (3*t[29])/2 - 2*t[35] - (13*t[44])/4 + (5*t[46])/2 - (5*t[48])/8 - 
       (9*t[49])/2 + (15*t[50])/8 - (5*t[51])/8 - (15*t[52])/8 + 
       (9*t[53])/2 + (5*t[54])/8 - (85*t[60])/4 - (55*t[61])/2 + 
       (13*t[62])/4 + (9*t[63])/4 + (59*t[64])/2 - (7*t[65])/3 + 
       (115*t[66])/3 - 4*t[73] - 4*t[74] + 7*t[75] - 4*t[79] + t[81]/2 - 
       t[82]/2 + 9*t[83] - (13*t[84])/2 - (11*t[85])/4 + 4*t[86] + 
       (59*t[87])/4 + (59*t[88])/8 + (33*t[89])/8 + 4*t[99] + 33*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      (-t[1] + (3*t[3])/4 + (17*t[4])/2 - 6*t[5] - (31*t[6])/8 + 
       (27*t[7])/4 - (107*t[8])/4 + (35*t[9])/4 - (13*t[10])/2 - 
       (47*t[11])/8 - t[12] + (32*t[13])/9 - (7*t[14])/2 - (51*t[15])/8 - 
       (3*t[29])/2 + 4*t[31] + 10*t[35] + 2*t[37] - (3*t[43])/2 + 
       (13*t[44])/4 - 2*t[46] - (59*t[48])/8 + (23*t[49])/4 + (25*t[50])/8 - 
       (11*t[51])/8 - (25*t[52])/8 - (23*t[53])/4 - (89*t[54])/8 + 
       (11*t[60])/4 - 21*t[61] - (9*t[62])/2 + 19*t[63] + (39*t[64])/4 - 
       2*t[65] - (29*t[66])/6 - 4*t[74] - 4*t[79] - 14*t[80] - (3*t[81])/2 - 
       t[82]/2 + 3*t[83] - 2*t[84] + (31*t[85])/4 + 10*t[86] - (15*t[87])/4 - 
       (15*t[88])/8 + (65*t[89])/8 + 4*t[99] + 33*t[100]) + 
     HPL[{0, 1}, 1 - v]^2*Phi6[u, v, w]*((49*t[2])/16 - t[3]/2 + 
       (167*t[4])/32 - (391*t[5])/32 + (17*t[6])/4 - (93*t[7])/16 + 
       (109*t[8])/8 + (257*t[9])/32 + (335*t[10])/64 - (223*t[11])/16 + 
       (109*t[12])/64 - (463*t[13])/72 + (609*t[14])/128 - (629*t[15])/96 + 
       t[26]/4 - t[27]/2 + t[28]/2 + t[29]/2 + t[30] + t[32]/4 - t[33]/4 - 
       t[34]/4 + t[35]/2 + (5*t[36])/4 + t[37] + t[39]/4 - (3*t[40])/4 + 
       t[41]/8 - t[42]/8 - (7*t[43])/8 - 2*t[44] - (27*t[45])/16 - 
       (5*t[46])/8 + (29*t[47])/8 + (31*t[48])/16 + (125*t[49])/64 - 
       (45*t[50])/16 - (171*t[51])/128 + (65*t[52])/16 - (109*t[53])/64 + 
       (137*t[54])/32 + t[58]/4 + t[59]/8 + (103*t[60])/32 - (523*t[61])/32 - 
       (233*t[62])/64 - (559*t[63])/64 - (15*t[64])/64 + (123*t[65])/32 - 
       (227*t[66])/32 + (3*t[69])/2 - 2*t[72] + (3*t[73])/2 - 3*t[74] - 
       t[75] - (9*t[76])/4 + t[77]/4 + (7*t[78])/2 - (11*t[79])/2 - 
       (9*t[80])/4 + 2*t[81] - (31*t[82])/4 + t[83]/4 - (35*t[84])/32 + 
       (25*t[85])/32 + (127*t[86])/8 - (9*t[87])/32 - (9*t[88])/64 + 
       (325*t[89])/64 - t[97]/4 - 11*t[98] + 14*t[99] + (81*t[100])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((3*t[1])/4 - (13*t[2])/8 + (131*t[3])/16 - (39*t[4])/8 + 
       (323*t[5])/32 - (151*t[6])/16 - (35*t[7])/4 - (15*t[8])/8 - 
       (957*t[9])/32 - (67*t[10])/8 - (31*t[11])/2 - (199*t[12])/32 - 
       (643*t[13])/144 - (701*t[14])/24 + (115*t[15])/192 - 2*t[20] - 
       2*t[21] + 3*t[22] + 2*t[23] - t[24] + t[25] - (3*t[26])/2 + 3*t[27] - 
       3*t[28] - 2*t[31] + t[32]/2 - (5*t[33])/2 - 4*t[34] + 3*t[35] - 
       t[37]/2 + (3*t[38])/2 - t[39]/4 + (13*t[40])/4 - t[41] + t[42] - 
       (15*t[43])/16 + 2*t[44] + (23*t[45])/4 - t[46]/4 - (7*t[47])/2 + 
       (23*t[48])/16 - (29*t[49])/8 + (23*t[50])/16 - (43*t[51])/32 - 
       (87*t[52])/16 + (7*t[53])/8 - (105*t[54])/16 + t[57] - t[59]/2 - 
       (253*t[60])/8 - (367*t[61])/8 + (19*t[62])/16 - (351*t[63])/16 + 
       (637*t[64])/16 + (323*t[65])/12 + (137*t[66])/3 + t[70] - t[71] + 
       t[72] + 2*t[73] + t[74]/2 - 10*t[75] - (7*t[76])/2 - t[77]/2 + 
       2*t[78] + 3*t[79] - (21*t[80])/2 - (25*t[81])/4 + (17*t[82])/4 + 
       (9*t[83])/2 - (19*t[84])/8 - 4*t[85] + (83*t[86])/4 + (107*t[87])/4 + 
       (143*t[88])/8 + (191*t[89])/16 - t[95] - t[96] - 24*t[98] + 18*t[99] + 
       45*t[100]) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-9*t[1])/4 + (7*t[2])/4 + (39*t[3])/8 + (5*t[4])/16 + (31*t[5])/4 + 
       (37*t[6])/4 - (265*t[7])/16 - (219*t[8])/16 - (181*t[9])/16 + 
       (621*t[10])/32 - (189*t[11])/16 - t[12]/32 - (43*t[13])/96 - 
       (2255*t[14])/192 + (41*t[15])/16 - t[18] + 2*t[20] + t[21] - t[23] - 
       2*t[27] + 3*t[28] - t[29]/4 + 2*t[31] + 2*t[33] - 4*t[35] - t[38]/2 - 
       t[39]/2 - (9*t[40])/4 + t[41]/4 - (3*t[42])/4 + (31*t[43])/16 + 
       t[44]/4 - (7*t[45])/8 - (3*t[46])/4 - (9*t[47])/4 - (29*t[48])/16 - 
       (267*t[49])/32 + (51*t[50])/16 + (195*t[51])/64 + (13*t[52])/16 + 
       (203*t[53])/32 + (5*t[54])/8 - t[58]/2 + (19*t[60])/16 - 
       (563*t[61])/16 + (1295*t[62])/32 + (705*t[63])/32 - (395*t[64])/32 - 
       (427*t[65])/48 + (1835*t[66])/48 + 2*t[70] - 2*t[71] - t[72] - 
       2*t[73] + t[74] + 8*t[75] - (13*t[76])/2 + t[77] + (21*t[78])/2 - 
       7*t[79] - 3*t[80] + t[81]/2 - 4*t[82] - (15*t[83])/2 + (69*t[84])/16 + 
       (41*t[85])/16 - (59*t[86])/2 + (23*t[87])/16 + (23*t[88])/32 - 
       (23*t[89])/32 - 3*t[96] - 2*t[97] - 24*t[98] + 18*t[99] + 45*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*(-t[1]/2 + 6*t[2] + 
       4*t[3] - t[4] + (73*t[5])/16 - 6*t[6] - (33*t[7])/8 - (109*t[8])/8 - 
       (77*t[9])/16 + (9*t[10])/8 + (35*t[11])/8 + (23*t[12])/16 + 
       (4*t[13])/3 - (421*t[14])/48 + (385*t[15])/96 + t[26] + t[27] + 
       t[30] + 2*t[35] + t[36]/2 - 2*t[37] - t[38] - t[41]/2 + t[42]/2 - 
       t[43]/2 + t[45]/2 + 2*t[46] - 2*t[47] - 5*t[48] - t[49] + 7*t[50] - 
       (7*t[51])/4 - 7*t[52] + t[53] - 7*t[54] + t[59] - 9*t[60] - 
       (73*t[61])/4 + (65*t[62])/8 - (13*t[63])/8 - (95*t[64])/8 + t[65]/4 + 
       (77*t[66])/4 + t[69]/2 + t[73]/2 + t[74] - (11*t[75])/2 - 2*t[76] + 
       2*t[78] - (3*t[79])/2 - 3*t[80] - 3*t[81] + 2*t[82] + (55*t[83])/4 - 
       4*t[84] - 4*t[85] - (5*t[86])/2 + (19*t[87])/2 + (19*t[88])/4 - 
       (39*t[89])/8 - 18*t[98] + 20*t[99] + (91*t[100])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*((-3*t[1])/4 - t[2]/8 + 
       (27*t[3])/8 - (39*t[4])/8 + (137*t[5])/16 - (35*t[6])/8 - 
       (13*t[7])/2 - (23*t[8])/2 - (195*t[9])/16 + (53*t[10])/16 - 
       (13*t[11])/4 + (3*t[12])/8 - (35*t[13])/72 - (979*t[14])/96 + 
       (179*t[15])/96 + t[26] - 3*t[28] - t[29]/2 + t[30]/2 - t[31] + t[35] + 
       t[37]/2 - t[38] - 3*t[39] + t[41]/4 - t[42]/4 - t[43]/2 - t[44]/2 + 
       2*t[46] - t[47]/2 - (13*t[48])/8 - (17*t[49])/16 + (35*t[50])/8 - 
       (3*t[51])/32 - (35*t[52])/8 + (17*t[53])/16 - (17*t[54])/4 + 
       (5*t[59])/4 - (95*t[60])/8 - (165*t[61])/8 + (289*t[62])/16 + 
       (75*t[63])/16 - (11*t[64])/16 + (89*t[65])/24 + (587*t[66])/24 + 
       t[69]/2 - t[73] + t[74] - t[75]/2 - 2*t[76] + t[78] + (3*t[79])/2 - 
       4*t[80] - (7*t[81])/2 + (9*t[82])/2 + (31*t[83])/4 - (29*t[84])/8 - 
       (27*t[85])/8 - (31*t[86])/2 + (93*t[87])/8 + (93*t[88])/16 - 
       (17*t[89])/16 - 18*t[98] + 20*t[99] + (91*t[100])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-3*t[1])/4 + (19*t[2])/8 + (7*t[3])/8 + (35*t[4])/4 - (105*t[5])/32 - 
       (45*t[6])/32 + (171*t[7])/16 - (9*t[8])/16 + (163*t[9])/32 + 
       (183*t[10])/16 - (283*t[11])/32 + (181*t[12])/32 - (2039*t[13])/288 - 
       (67*t[14])/16 - (1661*t[15])/576 + (5*t[26])/2 - (3*t[29])/4 - 
       (3*t[30])/2 - t[31] + t[32]/2 - t[33]/2 + 2*t[35] + (5*t[36])/2 + 
       5*t[37] - 2*t[38] + (3*t[39])/4 - (11*t[40])/4 + t[41]/4 - t[42]/4 - 
       (17*t[43])/8 + (5*t[44])/2 - (5*t[45])/8 - (5*t[46])/4 + (7*t[47])/4 - 
       (5*t[48])/32 - t[49]/4 + (163*t[50])/32 - (5*t[51])/16 - 
       (83*t[52])/32 + t[53]/4 - (75*t[54])/32 + t[58]/2 + t[59] - 
       (109*t[60])/16 - (511*t[61])/16 - (295*t[62])/32 - (689*t[63])/32 - 
       (539*t[64])/32 - (17*t[65])/48 + (131*t[66])/16 + t[69] - t[70] + 
       t[71] - 2*t[72] + 2*t[73] - t[74] - 7*t[75] - (9*t[76])/2 + 2*t[79] - 
       (25*t[80])/2 - 4*t[81] + t[82]/2 + (3*t[83])/2 - (31*t[84])/16 - 
       (71*t[85])/16 + (83*t[86])/4 + (193*t[87])/16 + (193*t[88])/32 + 
       (153*t[89])/32 - t[97]/2 - 28*t[98] + 26*t[99] + 46*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((5*t[1])/4 + (15*t[2])/2 - (9*t[3])/8 - (45*t[4])/16 + t[5]/4 + 
       (163*t[6])/32 - (27*t[7])/8 + (69*t[8])/8 + (77*t[9])/16 + 
       (563*t[10])/32 - (231*t[11])/32 + (155*t[12])/32 - (1279*t[13])/144 + 
       (187*t[14])/64 + (685*t[15])/144 + t[19] + t[21] - t[23] - t[26]/2 - 
       t[27] - t[29]/2 - t[30]/2 - t[31] - t[34]/2 + t[35] + t[36] - t[37] - 
       t[38] - t[39]/4 - (3*t[40])/4 + t[41]/4 - t[42]/4 - t[44]/2 + 
       (3*t[46])/2 - t[47] + (129*t[48])/32 - (103*t[49])/32 + 
       (121*t[50])/32 - (83*t[51])/64 - (41*t[52])/32 + (119*t[53])/32 + 
       (73*t[54])/32 + t[58]/2 + (3*t[59])/4 - (113*t[60])/8 - 
       (235*t[61])/8 + (109*t[62])/8 - (135*t[63])/8 - (603*t[64])/16 + 
       (57*t[65])/8 + (1045*t[66])/24 - t[70] + t[71] - 2*t[72] - t[73] - 
       t[74] - 6*t[75] - (7*t[76])/2 - 4*t[79] - 2*t[80] - (7*t[81])/2 - 
       3*t[82] - (7*t[83])/2 - (23*t[84])/8 - (53*t[85])/8 + (69*t[87])/4 + 
       (69*t[88])/8 + (111*t[89])/16 - t[97]/2 - 28*t[98] + 26*t[99] + 
       46*t[100]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - v]*
      (-t[1] + (19*t[3])/4 + 2*t[4] - (9*t[5])/2 - (75*t[6])/8 + (7*t[7])/4 - 
       (107*t[8])/4 - (3*t[9])/4 - (35*t[10])/4 - (51*t[11])/8 - 
       (5*t[12])/4 - (19*t[13])/4 - (113*t[14])/8 - (145*t[15])/24 - 
       (3*t[29])/2 + 2*t[31] + 4*t[35] - 4*t[43] + (13*t[44])/4 - 2*t[46] - 
       (63*t[48])/8 + 5*t[49] + (61*t[50])/8 - t[51] - (61*t[52])/8 - 
       5*t[53] - (97*t[54])/8 - t[59] - (39*t[60])/4 - (95*t[61])/2 + 
       (19*t[62])/4 + (59*t[63])/4 - 13*t[64] - 3*t[65] + (91*t[66])/3 - 
       4*t[74] - 3*t[79] - 8*t[80] - t[81]/2 + t[82]/2 + 11*t[83] - 
       (9*t[84])/2 + (15*t[85])/4 + t[86] + (5*t[87])/4 + (5*t[88])/8 - 
       (13*t[89])/8 + 54*t[100]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - v]*
      (2*t[1] + (17*t[3])/4 - t[4] + (17*t[5])/2 + t[6]/8 - (19*t[7])/2 + 
       t[8] - (65*t[9])/4 + 5*t[10] - (123*t[11])/8 - (21*t[12])/4 - 
       (35*t[13])/4 - (181*t[14])/12 + (29*t[15])/24 - 3*t[25] + 2*t[26] + 
       (3*t[29])/2 + t[38] - (13*t[44])/4 - (3*t[46])/2 + t[48]/8 - t[49] + 
       (21*t[50])/8 - (3*t[51])/8 - (21*t[52])/8 + t[53] - (17*t[54])/8 - 
       t[59] - (67*t[60])/4 - 39*t[61] + (29*t[62])/2 + 4*t[63] + 
       (79*t[64])/4 - (2*t[65])/3 + (164*t[66])/3 - 4*t[73] - 4*t[74] + 
       7*t[75] - 4*t[79] - t[81]/2 + t[82]/2 + 3*t[83] - (9*t[84])/2 - 
       (9*t[85])/4 + 4*t[86] + (29*t[87])/4 + (29*t[88])/8 + (19*t[89])/8 + 
       54*t[100]) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      (t[1]/2 - (9*t[2])/4 + (5*t[3])/16 - (17*t[4])/8 - (177*t[5])/32 - 
       (187*t[6])/16 + (15*t[7])/2 + (15*t[8])/4 + (363*t[9])/32 + 
       (43*t[10])/16 + (3*t[11])/4 + (355*t[12])/32 + (121*t[13])/16 - 
       (409*t[14])/48 - (251*t[15])/64 + t[18] + t[21] - t[23] - 2*t[25] + 
       2*t[26] + 2*t[27] - 2*t[28] + 2*t[31] + t[32] - t[33] + t[34] + 
       4*t[35] - t[37] - t[39] - t[40] + t[41]/4 + t[42]/4 - (45*t[43])/16 + 
       t[44]/2 - (17*t[45])/8 + (7*t[46])/4 + (29*t[47])/4 - (61*t[48])/16 - 
       (75*t[49])/16 + (3*t[50])/16 - (7*t[51])/32 - (19*t[52])/16 + 
       (75*t[53])/16 - (53*t[54])/16 + t[58]/2 - (7*t[59])/4 - (15*t[60])/4 - 
       (55*t[61])/2 - (13*t[62])/2 - 39*t[63] + 2*t[64] + (637*t[65])/24 + 
       (91*t[66])/24 - t[69] - 2*t[70] + 2*t[71] + t[73] - t[74] - t[75] + 
       (9*t[76])/2 + (3*t[77])/2 - (15*t[78])/2 + t[79] + 6*t[80] - 
       (7*t[81])/2 + (13*t[82])/2 - (5*t[84])/2 + (27*t[85])/4 + 
       (35*t[86])/2 + (7*t[87])/4 + (7*t[88])/8 + (101*t[89])/8 + 22*t[98] - 
       60*t[99] + 55*t[100]) + F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((5*t[1])/4 + 3*t[2] + (11*t[3])/2 - (255*t[4])/16 + (197*t[5])/16 - 
       (159*t[6])/16 - (11*t[7])/2 - (5*t[8])/2 - (181*t[9])/16 + 
       (383*t[10])/32 - (345*t[11])/16 - (79*t[12])/32 - (797*t[13])/144 - 
       (4565*t[14])/192 - (5*t[15])/6 - 2*t[25] + 3*t[27] - t[28] + t[31] + 
       (3*t[36])/2 + (3*t[37])/2 + 2*t[38] - (3*t[39])/2 - t[40] + t[43]/2 - 
       t[45]/2 - (3*t[46])/4 + t[47] - (39*t[48])/16 + (25*t[49])/32 + 
       (33*t[50])/16 + (153*t[51])/64 - (17*t[52])/16 + (39*t[53])/32 - 
       (5*t[54])/8 - t[59] - (573*t[60])/16 - (935*t[61])/16 + 
       (581*t[62])/32 - (53*t[63])/32 + (573*t[64])/32 + (517*t[65])/48 + 
       (1391*t[66])/48 - t[69] - t[70] + t[71] - 2*t[72] + 2*t[73] - 
       t[74]/2 - 5*t[75] + 5*t[76] + t[77]/2 - 9*t[78] + 2*t[79] + t[80] - 
       (23*t[81])/4 + (33*t[82])/4 + (11*t[83])/2 - (151*t[84])/16 + 
       (43*t[85])/16 + 13*t[86] + (219*t[87])/16 + (75*t[88])/32 + 
       (141*t[89])/32 + t[95] + t[96] - t[97]/2 + 22*t[98] - 60*t[99] + 
       55*t[100]) + HPL[{0, 1}, 1 - w]*K1[u, v, w]*(t[1]/2 + (3*t[2])/4 + 
       (33*t[3])/4 + 3*t[4] + (25*t[5])/2 - 4*t[6] + (11*t[7])/4 + 
       (11*t[8])/4 - 18*t[9] - (17*t[10])/4 - (23*t[11])/2 - 6*t[12] - 
       (7*t[13])/12 - (199*t[14])/8 - (25*t[15])/8 - t[28] + t[31] + t[36] + 
       3*t[37] + t[38] - t[39] - t[43]/2 - 2*t[45] - t[46]/2 + 4*t[47] - 
       (15*t[48])/4 + 3*t[49] + (11*t[50])/4 - (17*t[51])/8 - (11*t[52])/4 - 
       3*t[53] - (9*t[54])/4 - (3*t[59])/2 - (65*t[60])/2 - (121*t[61])/2 - 
       (121*t[62])/8 - (15*t[63])/8 + 64*t[64] + (119*t[65])/12 + 
       (109*t[66])/6 - t[70] + t[71] - t[72] + t[73] + t[74] - 4*t[75] - 
       t[77] - (7*t[78])/2 + 10*t[79] + t[80] - 2*t[81] + (5*t[82])/2 + 
       10*t[83] - (33*t[84])/4 + (5*t[85])/4 + 41*t[86] + (63*t[87])/4 + 
       (63*t[88])/8 + 3*t[89] + 2*t[98] + 2*t[99] + 67*t[100]) + 
     HPL[{0, 1}, 1 - u]*K1[u, v, w]*(t[1]/2 + 6*t[3] - (5*t[4])/2 + 9*t[5] - 
       5*t[6] - (39*t[7])/4 - (37*t[8])/4 - (55*t[9])/4 + (87*t[10])/4 - 
       (37*t[11])/4 + t[12] - t[13]/18 - (141*t[14])/8 - (3*t[15])/8 - 
       2*t[25] + 2*t[26] + 2*t[27] + t[28] + t[31] - 2*t[35] + t[37] + 
       t[38] + t[39] - t[43] - t[45] + (7*t[46])/2 + 2*t[47] - (17*t[48])/4 - 
       (15*t[49])/4 + (13*t[50])/4 + (7*t[51])/8 - (13*t[52])/4 + 
       (15*t[53])/4 - (7*t[54])/4 - (3*t[59])/2 - (55*t[60])/2 - 53*t[61] + 
       (177*t[62])/8 + (95*t[63])/8 + 17*t[64] + (25*t[65])/2 + 
       (171*t[66])/4 - t[70] + t[71] - t[72] - t[73] + t[74] + 3*t[75] + 
       t[77] - (3*t[78])/2 + 2*t[79] + 3*t[80] - (3*t[81])/2 + 4*t[82] - 
       (9*t[83])/2 - (13*t[84])/2 + t[85]/4 - 20*t[86] + (49*t[87])/4 + 
       (49*t[88])/8 + (11*t[89])/2 + 2*t[98] + 2*t[99] + 67*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((3*t[1])/4 - (3*t[2])/4 + (5*t[3])/2 - (67*t[4])/8 + (29*t[5])/4 - 
       (105*t[6])/8 + (113*t[7])/16 - (9*t[8])/16 + (21*t[9])/16 - 
       (17*t[10])/8 - (77*t[11])/16 + (169*t[12])/16 + (31*t[13])/288 - 
       (1811*t[14])/96 - (71*t[15])/96 + t[18] + t[21] - t[23] - 3*t[25] + 
       3*t[26] + 2*t[27] - 2*t[28] + t[32] - t[33] + t[34] + t[35] - t[39] - 
       t[40] + t[41]/4 + t[42]/4 - (31*t[43])/16 + t[44]/2 - (25*t[45])/8 + 
       (9*t[46])/4 + (37*t[47])/4 - (45*t[48])/16 - (115*t[49])/16 + 
       (59*t[50])/16 + (21*t[51])/32 - (75*t[52])/16 + (115*t[53])/16 - 
       (93*t[54])/16 + t[58]/2 - t[59] - (61*t[60])/4 - (107*t[61])/2 - 
       t[62]/4 - (145*t[63])/4 + (45*t[64])/2 + (389*t[65])/12 + 
       (469*t[66])/12 - 2*t[70] + 2*t[71] - t[74] + (9*t[76])/2 + t[77] - 
       (15*t[78])/2 + t[79] + 9*t[80] - (11*t[81])/2 + (17*t[82])/2 - t[83] - 
       (9*t[84])/2 + (5*t[85])/4 + (43*t[86])/2 + (41*t[87])/4 + 
       (41*t[88])/8 + (127*t[89])/8 + 22*t[98] - 62*t[99] + 91*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (t[1]/4 + (15*t[2])/4 + 8*t[3] - (101*t[4])/8 + (291*t[5])/16 - 
       (189*t[6])/16 - t[7]/4 - (3*t[8])/4 - (315*t[9])/16 + (13*t[10])/2 - 
       (369*t[11])/16 - (63*t[12])/16 - (425*t[13])/36 - (3215*t[14])/96 - 
       (3*t[15])/32 - 2*t[25] + (3*t[26])/2 + 3*t[27] - t[28] + 2*t[31] - 
       t[35] + t[36]/2 + (5*t[37])/2 + t[38]/2 - (3*t[39])/2 - t[40] - 
       t[43]/2 - t[45]/2 + t[47] - (89*t[48])/16 - (9*t[49])/8 + 
       (87*t[50])/16 - (39*t[51])/32 - (71*t[52])/16 + (23*t[53])/8 - 
       (57*t[54])/16 - t[59]/4 - (301*t[60])/8 - (167*t[61])/2 + 
       (47*t[62])/8 - (155*t[63])/8 + (49*t[64])/2 + (63*t[65])/8 + 
       (385*t[66])/8 - t[70] + t[71] - 2*t[72] + 2*t[73] - t[74]/2 - 
       5*t[75] + 5*t[76] + t[77]/2 - 9*t[78] + t[79]/2 - 2*t[80] - 
       (21*t[81])/4 + (37*t[82])/4 + (13*t[83])/2 - (93*t[84])/8 + 
       (7*t[85])/2 + (59*t[86])/2 + (59*t[87])/4 + (23*t[88])/8 + 
       (127*t[89])/16 + t[95] + t[96] - t[97]/2 + 22*t[98] - 62*t[99] + 
       91*t[100]) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      (-t[1]/4 - (7*t[2])/4 + (19*t[3])/2 - (267*t[4])/16 + (5*t[5])/4 - 
       (151*t[6])/8 + t[7]/16 - (81*t[8])/16 - (123*t[9])/16 + 
       (145*t[10])/32 - (293*t[11])/16 + (287*t[12])/32 - (233*t[13])/96 - 
       (2717*t[14])/64 - (253*t[15])/144 + t[18] + t[21] - t[23] - 2*t[25] + 
       2*t[26] + 4*t[27] - 4*t[28] - t[31] + t[32] - t[33] + 2*t[34] + 
       t[35] - t[38]/2 - (5*t[39])/2 - t[41]/4 + (3*t[42])/4 - 
       (39*t[43])/16 - t[44]/2 - (17*t[45])/8 + (11*t[46])/4 + (29*t[47])/4 - 
       (101*t[48])/16 - (427*t[49])/32 + (155*t[50])/16 + (235*t[51])/64 - 
       (155*t[52])/16 + (363*t[53])/32 - (25*t[54])/8 + t[58]/2 - 
       (3*t[59])/2 - (701*t[60])/16 - (1683*t[61])/16 + (279*t[62])/32 - 
       (807*t[63])/32 + (1661*t[64])/32 + (2737*t[65])/48 + (1093*t[66])/16 - 
       2*t[70] + 2*t[71] + t[72] - t[73] - t[74] - 3*t[75] - (5*t[76])/2 - 
       t[77] - (5*t[78])/2 + 4*t[79] + 5*t[80] - (11*t[81])/2 + 12*t[82] + 
       (23*t[83])/2 - (79*t[84])/16 + (85*t[85])/16 + (69*t[86])/2 + 
       (467*t[87])/16 + (467*t[88])/32 + (593*t[89])/32 - 3*t[96] - 2*t[97] - 
       12*t[98] - 30*t[99] + 132*t[100]) + F1[v, w, u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((5*t[1])/4 - (25*t[2])/8 + (201*t[3])/16 - 
       (77*t[4])/8 + (875*t[5])/32 - (279*t[6])/16 - (61*t[7])/4 - 
       (177*t[8])/8 - (1301*t[9])/32 + (201*t[10])/8 - (41*t[11])/2 - 
       (191*t[12])/32 - (257*t[13])/48 - (2513*t[14])/48 + (1181*t[15])/576 - 
       2*t[21] + t[22] + 2*t[23] - t[24] - 2*t[25] + (3*t[26])/2 + 3*t[27] - 
       5*t[28] + t[31] - t[32]/2 + t[33]/2 - 4*t[34] + 2*t[35] + t[36] + 
       (3*t[37])/2 + (3*t[38])/2 - 6*t[39] + 2*t[40] - t[41] + t[42] + 
       (9*t[43])/16 - t[44] + (23*t[45])/4 - (3*t[46])/4 - (7*t[47])/2 - 
       (145*t[48])/16 - (17*t[49])/8 + (151*t[50])/16 + (47*t[51])/32 - 
       (183*t[52])/16 + (31*t[53])/8 - (169*t[54])/16 + t[57] - 
       (389*t[60])/8 - (805*t[61])/8 + (211*t[62])/16 - (195*t[63])/16 + 
       (609*t[64])/16 + (25*t[65])/4 + (176*t[66])/3 + 2*t[69] - t[70] + 
       t[71] - 4*t[72] + 2*t[73] - (5*t[74])/2 - 10*t[75] - (3*t[76])/2 - 
       t[77]/2 - 6*t[78] + 2*t[79] - (17*t[80])/2 - (29*t[81])/4 + 
       (25*t[82])/4 + (13*t[83])/2 - (111*t[84])/8 - 3*t[85] + 
       (103*t[86])/4 + (99*t[87])/4 + (63*t[88])/8 + (191*t[89])/16 + t[95] + 
       t[96] - t[97] - 12*t[98] - 30*t[99] + 132*t[100]) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - u]*(t[1]/4 + t[2]/4 + t[3] - 
       (89*t[4])/8 + (23*t[5])/8 - (141*t[6])/8 + (133*t[7])/16 + 
       (3*t[8])/16 + (63*t[9])/16 - (15*t[10])/4 - (47*t[11])/16 + 
       (205*t[12])/16 - (1579*t[13])/288 - (583*t[14])/32 + (23*t[15])/96 + 
       t[18] + t[21] - t[22] - t[23] - t[24] - 2*t[25] + 2*t[26] + 3*t[27] - 
       2*t[28] + t[32] - t[33] + 5*t[34] + 2*t[35] - t[36] - t[38] - t[39] - 
       (5*t[40])/2 + (3*t[41])/4 - t[42]/4 - (27*t[43])/16 - t[44]/2 - 
       (67*t[45])/8 + (19*t[46])/4 + (53*t[47])/4 - (75*t[48])/16 - 
       (73*t[49])/16 + (109*t[50])/16 - (41*t[51])/32 - (77*t[52])/16 + 
       (73*t[53])/16 - (67*t[54])/16 - 2*t[57] + t[58]/2 - (3*t[59])/4 - 
       (141*t[60])/4 - 68*t[61] + (75*t[62])/8 - (99*t[63])/8 + 
       (301*t[64])/8 + (389*t[65])/12 + (737*t[66])/12 - 2*t[70] + 2*t[71] - 
       t[74] + 4*t[75] + 6*t[76] + 2*t[77] - (13*t[78])/2 + 2*t[79] + 
       15*t[80] - 5*t[81] + 13*t[82] + 15*t[83] - (21*t[84])/2 + 
       (9*t[85])/4 + 14*t[86] + (67*t[87])/4 + (67*t[88])/8 + (73*t[89])/8 + 
       t[97]/2 + 32*t[98] - 78*t[99] + 134*t[100]) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - w]*((7*t[1])/4 + (13*t[2])/4 + 
       (37*t[3])/4 - (87*t[4])/8 + (573*t[5])/16 - (239*t[6])/16 - 14*t[7] - 
       10*t[8] - (557*t[9])/16 + (205*t[10])/8 - (399*t[11])/16 - 
       (127*t[12])/16 - (709*t[13])/72 - (3307*t[14])/96 + (133*t[15])/96 - 
       3*t[25] + (5*t[26])/2 + 4*t[27] - 2*t[28] + 2*t[31] - t[34] + t[35] + 
       t[36]/2 + (3*t[37])/2 + t[38] - 3*t[39] + t[41]/2 - t[42]/2 + t[43] - 
       2*t[44] + t[45]/2 - t[47] - (75*t[48])/16 + (25*t[49])/4 + 
       (61*t[50])/16 - (79*t[51])/32 - (61*t[52])/16 - (5*t[53])/2 - 
       (159*t[54])/16 + t[59]/4 - (435*t[60])/8 - (321*t[61])/4 + 
       (71*t[62])/4 - (21*t[63])/4 + (305*t[64])/8 - (113*t[65])/8 + 
       (1435*t[66])/24 - t[70] + t[71] - 3*t[72] + t[73] - t[74]/2 - t[75] + 
       8*t[76] + t[77]/2 - 14*t[78] + 2*t[79] + t[80] - (35*t[81])/4 + 
       (47*t[82])/4 + 12*t[83] - (175*t[84])/8 - 4*t[85] + 9*t[86] + 
       (75*t[87])/4 + (39*t[88])/8 + (21*t[89])/16 + t[95] + 4*t[96] + 
       (3*t[97])/2 + 32*t[98] - 78*t[99] + 134*t[100]) + 
     HPL[{0, 0, 0, 1}, 1 - v]*Phi6[u, v, w]*(-t[1] - (49*t[2])/2 + 
       (27*t[3])/2 - (29*t[4])/2 - (79*t[5])/4 - (149*t[6])/4 + (9*t[7])/4 - 
       (343*t[8])/4 + (25*t[9])/4 + (165*t[10])/4 - (209*t[11])/4 - 
       (25*t[12])/4 - (1219*t[13])/36 - (1157*t[14])/24 - (839*t[15])/24 - 
       4*t[19] - 4*t[21] + 4*t[23] - 3*t[24] + 5*t[27] - 2*t[28] + 2*t[29] - 
       7*t[30] - 7*t[32] + t[33] + 4*t[34] + 5*t[35] + 5*t[37] - 4*t[39] + 
       t[40] - t[41]/2 + t[42]/2 + t[43] + 6*t[44] - 5*t[45] + t[46]/2 + 
       19*t[47] - (65*t[48])/4 - t[49] + (11*t[50])/4 - t[51]/8 - 
       (27*t[52])/4 + t[53] - (37*t[54])/4 - t[59] - 40*t[60] - 167*t[61] + 
       (101*t[62])/4 - (73*t[63])/4 + 71*t[64] + (31*t[65])/6 + 66*t[66] + 
       4*t[69] - 2*t[70] + 2*t[71] - 11*t[72] + 4*t[73] - 2*t[74] + 9*t[75] + 
       11*t[76] + 2*t[77] - 22*t[78] + 5*t[79] - 8*t[80] - 2*t[81] + 
       5*t[82] - t[83]/2 - (23*t[84])/2 + (63*t[85])/2 + 25*t[86] + 
       (31*t[87])/2 + (7*t[88])/4 + 38*t[89] + 4*t[95] + 2*t[96] - 2*t[97] + 
       72*t[98] - 176*t[99] + 274*t[100]) + G[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*(-t[1]/2 + (15*t[2])/4 - (15*t[3])/4 - 2*t[4] + 
       (27*t[5])/4 - (5*t[6])/2 + 7*t[7] - (11*t[8])/2 - (9*t[9])/4 + 
       (13*t[10])/2 + 4*t[11] + (35*t[12])/4 + (3*t[13])/2 - 4*t[14] + 
       (143*t[15])/12 - t[24] - t[25] + 2*t[26] + t[27] + 3*t[28] - t[31] - 
       2*t[35] + 2*t[37] - t[38] + 3*t[39] - t[41]/2 + t[42]/2 + t[43]/2 + 
       t[44] + t[46] - t[47] - (29*t[48])/4 - (13*t[49])/2 + (27*t[50])/4 - 
       t[51]/4 - (27*t[52])/4 + (13*t[53])/2 - (25*t[54])/4 + t[59] - 
       10*t[60] + 23*t[61] + (21*t[62])/2 - (39*t[63])/2 - (51*t[64])/4 - 
       (119*t[65])/12 + (7*t[66])/12 + 3*t[73] + t[74] + 9*t[75] + 2*t[76] + 
       9*t[78] + (15*t[81])/2 - (13*t[82])/2 + 13*t[83] + t[84]/4 + t[85]/2 - 
       (49*t[89])/4 - 3*t[102]) + G[u, v, w]*HPL[{0, 1}, 1 - v]*
      ((15*t[2])/2 - (23*t[3])/4 + (39*t[4])/4 - (31*t[5])/16 + 
       (135*t[6])/8 - (121*t[7])/16 + (301*t[8])/16 - (101*t[9])/8 + 
       (67*t[10])/2 + (113*t[11])/16 + (49*t[12])/8 + (481*t[13])/288 + 
       (229*t[14])/8 + (95*t[15])/8 - t[18] + t[19] + 2*t[20] + 2*t[21] - 
       2*t[23] + (3*t[25])/2 + t[26] + 3*t[27] + 3*t[28] + 2*t[33] - t[34] - 
       5*t[35] - (5*t[36])/2 + (9*t[37])/2 - t[38]/2 + 2*t[39] - t[40] + 
       (3*t[41])/4 - (5*t[42])/4 + (23*t[43])/16 + t[44]/2 - (3*t[45])/8 + 
       10*t[46] - (17*t[47])/4 + (69*t[48])/16 - (129*t[49])/16 - 
       (123*t[50])/16 - (161*t[51])/16 + (155*t[52])/16 + (85*t[53])/16 + 
       (75*t[54])/16 - t[58]/2 + (5*t[59])/4 + (81*t[60])/4 + (355*t[61])/4 + 
       (463*t[62])/16 - (495*t[63])/16 - (217*t[64])/8 - (369*t[65])/8 - 
       (1111*t[66])/24 - (3*t[68])/2 - 2*t[69] + t[70] - t[71] + t[72] + 
       4*t[73] + (29*t[74])/2 + 17*t[75] - (3*t[76])/2 + (3*t[77])/2 + 
       16*t[78] + 13*t[79] + 2*t[80] + 5*t[81] - (3*t[82])/2 - (37*t[83])/2 + 
       (81*t[84])/8 - (11*t[85])/8 - (113*t[86])/2 - (171*t[87])/8 - 
       (99*t[88])/16 - (127*t[89])/16 - t[93]/2 - t[95] - t[96] + t[97]/2 - 
       18*t[98] + 42*t[99] - 127*t[100] - 3*t[102]) + 
     G[u, v, w]*HPL[{0, 1}, 1 - w]*(t[1] + (25*t[2])/4 - (23*t[3])/2 - 
       (41*t[4])/4 - (197*t[5])/16 + (5*t[6])/4 + (49*t[7])/16 + 
       (111*t[8])/16 + (241*t[9])/8 + (205*t[10])/4 - (27*t[11])/16 + 
       (103*t[12])/8 + (655*t[13])/288 + (553*t[14])/24 + (61*t[15])/6 + 
       t[16]/2 + t[18] - t[19] + 2*t[21] - 2*t[23] + t[24] + t[25]/2 + 
       2*t[26] + 6*t[27] + 10*t[28] - t[32] + t[33] + t[34] + 2*t[35] + 
       (3*t[36])/2 - (3*t[37])/2 - t[38]/2 + 8*t[39] - 2*t[40] + t[41]/4 + 
       t[42]/4 - (15*t[43])/16 + t[44]/2 + (35*t[45])/8 + 9*t[46] - 
       (31*t[47])/4 - (75*t[48])/16 - (227*t[49])/16 - (91*t[50])/16 - 
       (5*t[51])/16 + (91*t[52])/16 + (255*t[53])/16 + (171*t[54])/16 + 
       t[58]/2 + t[59]/4 + (45*t[60])/2 + (113*t[61])/2 + (379*t[62])/16 - 
       (943*t[63])/16 - (81*t[64])/2 - (53*t[65])/8 - (533*t[66])/8 - 
       (3*t[68])/2 - t[69] - 2*t[70] + 2*t[71] + t[72] + 4*t[73] + 
       (15*t[74])/2 + 17*t[75] + (19*t[76])/2 + (5*t[77])/2 + 14*t[79] - 
       18*t[80] + 10*t[81] - (9*t[82])/2 - (37*t[83])/2 + (45*t[84])/8 + 
       (113*t[85])/8 - (105*t[86])/2 - (263*t[87])/8 - (335*t[88])/16 + 
       (237*t[89])/16 + t[93]/2 + t[95] + t[96] - t[97]/2 + 42*t[98] - 
       66*t[99] - 56*t[100] - 3*t[102]) + G[u, v, w]*HPL[{0, 1}, 1 - u]*
      (t[1] + (19*t[2])/4 - (49*t[3])/4 - 28*t[4] - (267*t[5])/16 - t[6]/4 + 
       (401*t[7])/16 + (415*t[8])/16 + 39*t[9] + (9*t[10])/8 + 
       (265*t[11])/16 + (207*t[12])/8 + (5047*t[13])/288 + (257*t[14])/48 + 
       (457*t[15])/48 + t[18] - t[19] + 2*t[21] - 2*t[23] - (9*t[25])/2 + 
       7*t[26] - 2*t[27] + t[28] + t[32] - t[33] + t[34] - 4*t[35] + 
       t[36]/2 - (3*t[37])/2 - t[38]/2 + t[39] - 3*t[40] + t[41]/4 + 
       t[42]/4 - (7*t[43])/16 + (3*t[44])/2 - (21*t[45])/8 + (21*t[46])/2 + 
       (29*t[47])/4 - (75*t[48])/16 - (261*t[49])/16 - (107*t[50])/16 - 
       (13*t[51])/8 + (107*t[52])/16 + (305*t[53])/16 + (143*t[54])/16 + 
       t[58]/2 + t[59]/4 + (13*t[60])/4 + (229*t[61])/4 - (111*t[62])/16 - 
       (1597*t[63])/16 + (427*t[64])/8 + (355*t[65])/24 - (1873*t[66])/24 + 
       t[68]/2 - t[69] - 2*t[70] + 2*t[71] + 6*t[73] + (13*t[74])/2 + 
       8*t[75] + (19*t[76])/2 + (3*t[77])/2 - t[78] + 15*t[79] + 12*t[80] + 
       9*t[81] - (23*t[82])/2 - (25*t[83])/2 + (43*t[84])/8 + (127*t[85])/8 + 
       (41*t[86])/2 - (137*t[87])/8 - (209*t[88])/16 + (375*t[89])/16 + 
       t[93]/2 + t[95] + t[96] - t[97]/2 + 42*t[98] - 66*t[99] - 56*t[100] - 
       3*t[102]) + G[u, v, w]*(-t[4]/2 - t[5]/2 + t[6]/2 + t[9]/2 - 3*t[10] - 
       2*t[11] + t[12]/2 - (17*t[13])/6 - (11*t[14])/6 - t[15]/12 - 3*t[25] + 
       3*t[26] - t[27] + 3*t[39] - t[48]/2 - t[49] - t[50]/2 + t[52]/2 + 
       t[53] + (5*t[54])/2 + 3*t[60] - 11*t[61] - (3*t[62])/2 - (5*t[63])/2 - 
       (11*t[64])/2 + (22*t[65])/3 + (20*t[66])/3 - 3*t[82] + 3*t[85] - 
       3*t[87] - (3*t[88])/2 + (3*t[89])/2)*\[Zeta][2] + 
     F1[w, u, v]*HPL[{1}, 1 - w]*((7*t[2])/4 + t[3]/2 + t[4] - (5*t[5])/2 - 
       t[6]/2 + 5*t[7] - (33*t[8])/2 + (55*t[9])/4 + t[10]/2 + t[11]/2 + 
       (5*t[12])/4 + (3*t[13])/2 - (67*t[14])/24 - (91*t[15])/24 - 3*t[24] + 
       t[32] - 4*t[33] - 2*t[35] + t[36] + t[39] - t[40] - t[46]/2 + t[47] - 
       (7*t[48])/2 - 3*t[49] + (7*t[50])/2 + (17*t[51])/8 - (7*t[52])/2 + 
       3*t[53] - (9*t[54])/2 + t[60] - 3*t[61] + (11*t[62])/2 + (5*t[63])/2 - 
       (11*t[64])/2 + (4*t[66])/3 + t[82] - 2*t[83] + t[85] - 8*t[86] - 
       t[87] - t[88]/2 + (3*t[89])/2)*\[Zeta][2] + 
     F1[u, v, w]*HPL[{1}, 1 - u]*(t[5] - 2*t[7] - 2*t[8] - t[9] + 2*t[10] - 
       2*t[11] - t[12] - t[14]/3 + t[15]/6 + 4*t[28] - 4*t[61] + 6*t[62] + 
       2*t[63] - 6*t[64] + (4*t[65])/3 + 4*t[66] - 2*t[83] - 8*t[86] + 
       2*t[89])*\[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - w]*
      (-t[1]/2 - (19*t[2])/2 - 8*t[3] + (15*t[4])/4 - (39*t[5])/4 + 
       (85*t[6])/8 + (9*t[7])/2 + (7*t[8])/2 + (47*t[9])/4 - (75*t[10])/8 + 
       (103*t[11])/8 + (89*t[12])/8 + (65*t[13])/9 + (97*t[14])/16 - 
       (5*t[15])/2 - 4*t[24] + 2*t[25] - t[26] - 2*t[27] - t[38] + 3*t[39] + 
       t[41]/2 - t[42]/2 + t[43]/2 + t[44] - t[45] - (5*t[46])/2 + 2*t[47] + 
       (13*t[48])/8 + (7*t[49])/8 - (11*t[50])/8 + (3*t[51])/16 + 
       (11*t[52])/8 - (7*t[53])/8 + (21*t[54])/8 + 2*t[59] + (41*t[60])/2 + 
       (105*t[61])/2 - (55*t[62])/4 + (79*t[63])/4 - t[64]/4 + (29*t[65])/3 - 
       37*t[66] - 10*t[74] - 2*t[78] + 4*t[80] + 5*t[81] - 8*t[82] + 
       4*t[84] + t[85]/2 + 12*t[86] - (13*t[87])/2 - (13*t[88])/4 - 
       (27*t[89])/4 - 12*t[99] - 48*t[100])*\[Zeta][2] + 
     F1[w, u, v]*HPL[{1}, 1 - u]*(-t[1]/2 - 3*t[3] - t[4]/2 - (43*t[5])/8 + 
       (25*t[6])/8 + 3*t[7] + 11*t[8] + (67*t[9])/8 - 12*t[10] + 
       (75*t[11])/8 + (29*t[12])/8 + (79*t[13])/12 + (32*t[14])/3 - 
       (31*t[15])/48 + 5*t[25] - 4*t[26] - t[27] + 5*t[36] + t[37] - t[38] + 
       3*t[39] + t[40] - t[45] + 2*t[47] + (29*t[48])/8 - (27*t[50])/8 - 
       t[51]/4 + (27*t[52])/8 + (43*t[54])/8 + t[59] + (55*t[60])/4 + 
       (157*t[61])/4 - (63*t[62])/8 + (119*t[63])/8 + (3*t[64])/8 + 4*t[65] - 
       (112*t[66])/3 - 5*t[74] - t[77] - t[78] + (5*t[81])/2 - (11*t[82])/2 + 
       3*t[84] - t[85]/4 + 2*t[86] - (19*t[87])/4 - (19*t[88])/8 - 
       (47*t[89])/8 - 2*t[95] - 12*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w]*(t[1] + 5*t[2] - 
       (63*t[3])/4 - 35*t[4] + (5*t[5])/8 - (145*t[6])/8 + (137*t[7])/4 - 
       (37*t[8])/4 + (133*t[9])/8 - (11*t[10])/4 + (21*t[11])/8 + 
       (159*t[12])/8 + (203*t[13])/72 + (39*t[14])/2 + (601*t[15])/48 - 
       2*t[21] + 2*t[23] - 4*t[24] + 5*t[25] - t[26] - t[27] - t[28] + 
       2*t[31] + 2*t[33] + 8*t[35] + 2*t[37] - 4*t[38] - 4*t[39] + 3*t[40] - 
       t[41] + t[42] + 3*t[43] + 6*t[44] + 3*t[45] - 8*t[46] - 10*t[47] - 
       (13*t[48])/8 - (7*t[49])/2 + (7*t[50])/8 + (9*t[51])/4 - (7*t[52])/8 + 
       (7*t[53])/2 + (53*t[54])/8 + 3*t[59] + (163*t[60])/4 + (87*t[61])/4 - 
       (169*t[62])/8 - (151*t[63])/8 - (153*t[64])/8 + (479*t[65])/12 + 
       (31*t[66])/4 + 2*t[69] + 4*t[73] - 9*t[74] - 8*t[75] + 2*t[76] - 
       3*t[77] - 3*t[78] + 16*t[79] - t[81] - 8*t[83] + (45*t[84])/4 + 
       (19*t[85])/4 + 74*t[86] - (105*t[87])/4 - (105*t[88])/8 - 
       (55*t[89])/8 + 12*t[98] - 36*t[99] - 33*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w]*(-t[2]/2 - (7*t[3])/4 + 
       t[4]/2 - (27*t[5])/8 + (85*t[6])/8 + (23*t[7])/4 - (31*t[8])/4 + 
       (33*t[9])/8 - (235*t[10])/4 + (175*t[11])/8 + (39*t[12])/8 + 
       (91*t[13])/8 - (133*t[14])/12 + (181*t[15])/48 - 2*t[24] - 3*t[25] + 
       5*t[26] + t[27] - 2*t[33] - 3*t[35] - 3*t[37] + 3*t[39] + t[45] + 
       8*t[46] - 2*t[47] + t[48]/8 - (15*t[49])/2 + (37*t[50])/8 + 
       (29*t[51])/4 - (37*t[52])/8 + (15*t[53])/2 - (37*t[54])/8 + 
       (21*t[60])/4 + (9*t[61])/4 - (63*t[62])/8 - (225*t[63])/8 - 
       (19*t[64])/8 + (59*t[65])/12 + (29*t[66])/12 - 2*t[73] - 13*t[74] + 
       9*t[75] + 2*t[76] - 5*t[78] - 16*t[79] - 2*t[81] + 6*t[82] - 
       (19*t[83])/2 - (3*t[84])/4 - (19*t[85])/4 + 10*t[86] + (21*t[87])/4 + 
       (21*t[88])/8 - (13*t[89])/8 + 12*t[98] - 36*t[99] - 33*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*Phi6[u, v, w]*(4*t[3] + 5*t[4] + 
       (23*t[5])/8 - (11*t[6])/4 + (7*t[7])/4 + (7*t[8])/4 - (55*t[9])/8 - 
       (45*t[10])/4 + 8*t[11] - (23*t[12])/8 - (37*t[13])/18 + 
       (47*t[14])/24 - (265*t[15])/48 - 3*t[28] - 2*t[31] + 3*t[35] + 
       5*t[36] - 2*t[39] + 3*t[40] - 4*t[45] + t[46] + 8*t[47] - 
       (5*t[48])/4 + (11*t[49])/2 + (11*t[50])/4 - t[51] - (11*t[52])/4 - 
       (11*t[53])/2 - (11*t[54])/4 - (37*t[60])/2 - 4*t[61] - (45*t[62])/2 + 
       (15*t[63])/2 + 22*t[64] - (59*t[65])/6 - (27*t[66])/2 + t[69] + 
       t[72] + 2*t[73] - 3*t[74] - 9*t[75] + t[76] - 3*t[77] - 5*t[78] + 
       5*t[79] + 8*t[80] + t[81] - t[82] + (27*t[83])/2 - 4*t[84] - 
       (3*t[85])/2 + 31*t[86] + (21*t[87])/2 + (21*t[88])/4 - 15*t[89] + 
       6*t[98] - 18*t[99] - 33*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*Phi6[u, v, w]*(-t[1]/2 - (45*t[2])/4 - (17*t[3])/4 + 
       32*t[4] - (125*t[5])/8 + (21*t[6])/2 - (25*t[7])/4 + (53*t[8])/4 + 
       (5*t[9])/8 - (31*t[10])/4 + (109*t[11])/4 - (3*t[12])/8 + 
       (1081*t[13])/72 + (41*t[14])/8 - (395*t[15])/48 - t[23] - 3*t[24] - 
       2*t[27] - 2*t[31] - 5*t[35] - t[37] + (3*t[41])/2 - (3*t[42])/2 - 
       (3*t[43])/2 - 3*t[44] - 4*t[45] - t[46] + 10*t[47] - t[48]/2 + 
       (9*t[49])/2 + 2*t[50] - 2*t[52] - (9*t[53])/2 - 4*t[54] + t[59] + 
       10*t[60] + 37*t[61] - (11*t[62])/2 + (27*t[63])/2 - 13*t[64] - 
       (5*t[65])/6 - (139*t[66])/6 - 2*t[69] + 2*t[70] - 2*t[71] + t[73] - 
       4*t[74] - 3*t[75] + t[76] - 3*t[78] + 4*t[80] + 5*t[81] - 5*t[82] + 
       2*t[83] + (5*t[84])/2 + (3*t[85])/2 - 4*t[86] - (9*t[87])/2 - 
       (9*t[88])/4 - (7*t[89])/2 + 6*t[98] - 18*t[99] - 33*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      ((3*t[1])/2 - 15*t[2] - (51*t[3])/4 + (9*t[4])/2 + (31*t[5])/4 + 
       4*t[6] + (17*t[7])/2 + (3*t[8])/2 + (37*t[9])/4 - (59*t[10])/4 + 
       (5*t[11])/4 + 8*t[12] - (335*t[13])/24 + (79*t[14])/24 - (5*t[15])/4 - 
       2*t[24] - t[25] - 2*t[26] - t[27] + 8*t[28] + 3*t[31] - 2*t[35] + 
       2*t[37] + 3*t[38] + 11*t[39] + (3*t[41])/2 - (3*t[42])/2 + t[43] + 
       2*t[44] - 3*t[46] + 3*t[47] + (31*t[48])/4 + (11*t[49])/4 + 
       (9*t[50])/4 + t[51]/8 - (9*t[52])/4 - (11*t[53])/4 - (37*t[54])/4 - 
       3*t[59] - 3*t[60] + 44*t[61] + (9*t[62])/2 + (87*t[63])/2 + 38*t[64] + 
       t[65]/2 - (29*t[66])/6 + 6*t[73] - 3*t[74] + 19*t[75] + 4*t[76] + 
       14*t[78] + 8*t[81] - 9*t[82] - (11*t[83])/2 + (13*t[84])/2 - 
       10*t[85] - 3*t[87] - (3*t[88])/2 - 8*t[89] - 24*t[100])*\[Zeta][2] + 
     K1[v, w, u]*(-t[2] - (3*t[4])/2 + 2*t[6] - t[7] + 12*t[8] - 6*t[9] - 
       5*t[10] + (3*t[11])/2 - 3*t[12] + t[13] + 6*t[14] + t[15]/2 + 
       2*t[24] + 3*t[25] - 3*t[26] - 3*t[27] + 2*t[33] - 3*t[39] + 2*t[48] + 
       3*t[49] - 2*t[50] - (3*t[51])/2 + 2*t[52] - 3*t[53] + 2*t[54] + 
       4*t[60] + 12*t[61] - 5*t[62] + 7*t[63] + 2*t[64] - (5*t[65])/3 - 
       (31*t[66])/3 - 3*t[82] + t[84] - 2*t[87] - t[88] - 12*t[100])*
      \[Zeta][2] + K1[w, u, v]*(t[2] - 2*t[3] - t[4]/2 - 2*t[5] + t[6] + 
       3*t[7] - 6*t[8] + 10*t[9] + (11*t[11])/2 + 4*t[12] + (5*t[14])/2 + 
       t[15]/6 - 2*t[24] + t[25] - t[26] + 3*t[27] - 2*t[33] + 3*t[39] + 
       t[48] - 2*t[49] + t[50] + t[51] - t[52] + 2*t[53] - t[54] + 24*t[61] - 
       3*t[62] + 5*t[63] + 8*t[64] - (17*t[65])/3 - (35*t[66])/3 + 3*t[82] + 
       t[84] - 4*t[85] + 2*t[87] + t[88] - 6*t[89] - 12*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*Phi6[u, v, w]*(-t[3] + 2*t[4] - 2*t[5] + (9*t[6])/4 - 
       (3*t[7])/2 + t[8]/2 + 3*t[9] - t[10]/4 + (19*t[11])/4 - (7*t[12])/4 + 
       (7*t[13])/9 + (127*t[14])/24 - (7*t[15])/12 + t[25] - t[26] - t[35] - 
       t[37] + (3*t[48])/4 + (5*t[49])/4 - (5*t[50])/4 - (5*t[51])/8 + 
       (5*t[52])/4 - (5*t[53])/4 + (5*t[54])/4 - t[59]/2 + (9*t[60])/2 + 
       14*t[61] - (7*t[62])/4 + (19*t[63])/4 - (11*t[64])/4 - (10*t[65])/3 - 
       (19*t[66])/3 - t[69] + t[70] - t[71] + t[73] + t[74] - 3*t[75] + 
       2*t[80] + t[81] - t[82] + t[83]/2 + t[84] + t[85]/2 - 10*t[86] - 
       (5*t[87])/2 - (5*t[88])/4 - (9*t[89])/4 - 12*t[100])*\[Zeta][2] + 
     F1[u, v, w]*HPL[{1}, 1 - v]*(t[2] + (3*t[4])/2 - 2*t[6] + t[7] - 
       12*t[8] + 6*t[9] + 5*t[10] - (3*t[11])/2 + 3*t[12] - t[13] - 6*t[14] - 
       t[15]/2 - 2*t[24] - 3*t[25] + 3*t[26] + 3*t[27] - 2*t[33] + 3*t[39] - 
       2*t[48] - 3*t[49] + 2*t[50] + (3*t[51])/2 - 2*t[52] + 3*t[53] - 
       2*t[54] - 4*t[60] - 12*t[61] + 5*t[62] - 7*t[63] - 2*t[64] + 
       (5*t[65])/3 + (31*t[66])/3 + 3*t[82] - t[84] + 2*t[87] + t[88] + 
       12*t[100])*\[Zeta][2] + F1[v, w, u]*HPL[{1}, 1 - u]*
      (2*t[2] - t[3] + t[4] - (3*t[5])/2 - (5*t[6])/2 + 7*t[7] - 17*t[8] + 
       (29*t[9])/2 + t[10] + (3*t[11])/2 + (11*t[12])/2 - t[13]/2 - 4*t[14] - 
       (5*t[15])/4 - 4*t[24] - 2*t[25] + 2*t[26] + 2*t[27] - 4*t[28] - 
       4*t[33] + 2*t[39] - (5*t[48])/2 - 4*t[49] + (7*t[50])/2 + 2*t[51] - 
       (7*t[52])/2 + 4*t[53] - (7*t[54])/2 - 9*t[60] - 3*t[61] - 
       (13*t[62])/2 - (23*t[63])/2 + (29*t[64])/2 - (11*t[65])/3 + 5*t[66] + 
       3*t[82] + 4*t[83] - t[84] - 3*t[85] + 16*t[86] + 7*t[87] + 
       (7*t[88])/2 - (7*t[89])/2 + 12*t[100])*\[Zeta][2] + 
     F1[w, u, v]*HPL[{1}, 1 - v]*(-t[2] + 2*t[3] + t[4]/2 + 2*t[5] - t[6] - 
       3*t[7] + 6*t[8] - 10*t[9] - (11*t[11])/2 - 4*t[12] - (5*t[14])/2 - 
       t[15]/6 + 2*t[24] - t[25] + t[26] - 3*t[27] + 2*t[33] - 3*t[39] - 
       t[48] + 2*t[49] - t[50] - t[51] + t[52] - 2*t[53] + t[54] - 24*t[61] + 
       3*t[62] - 5*t[63] - 8*t[64] + (17*t[65])/3 + (35*t[66])/3 - 3*t[82] - 
       t[84] + 4*t[85] - 2*t[87] - t[88] + 6*t[89] + 12*t[100])*\[Zeta][2] + 
     F1[v, w, u]*HPL[{1}, 1 - w]*((-11*t[2])/4 + (3*t[3])/2 + t[4] + 4*t[5] - 
       12*t[7] + (37*t[8])/2 - (99*t[9])/4 + 3*t[10] - 7*t[11] - 
       (27*t[12])/4 - (5*t[13])/3 - (19*t[14])/24 + (67*t[15])/24 + 4*t[24] - 
       2*t[25] + 2*t[26] - 2*t[27] + 4*t[28] - t[32] + 5*t[33] + 2*t[35] - 
       t[36] - 3*t[39] + t[40] + t[46]/2 - t[47] + 2*t[48] + (11*t[49])/2 - 
       5*t[50] - (23*t[51])/8 + 5*t[52] - (11*t[53])/2 + 5*t[54] + 2*t[57] + 
       t[60] - 27*t[61] + (17*t[62])/2 - (5*t[63])/2 - (27*t[64])/2 + 
       (17*t[65])/3 + 13*t[66] - 2*t[82] - 2*t[83] - t[84] + 5*t[85] - 
       8*t[86] - 3*t[87] - (3*t[88])/2 + (15*t[89])/2 + 12*t[100])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-3*t[1])/2 - (29*t[2])/4 + (19*t[3])/4 - 7*t[4] + (107*t[5])/8 - 
       (11*t[6])/8 - (249*t[7])/8 - (71*t[8])/8 - (211*t[9])/4 - 
       (119*t[10])/4 - (41*t[11])/4 - (25*t[12])/4 - (47*t[13])/48 - 
       (87*t[14])/4 - (35*t[15])/8 - 2*t[18] - 3*t[19] + 4*t[20] - t[21] + 
       t[23] - t[24] - 3*t[25] - t[26] + 11*t[27] + 3*t[28] + 7*t[31] + 
       t[32] + 2*t[33] - 2*t[34] - 3*t[35] - 12*t[36] - 8*t[37] + 6*t[38] - 
       2*t[39] + (3*t[41])/2 - (5*t[42])/2 + (23*t[43])/8 + t[44] + 
       (21*t[45])/4 + 3*t[46] - (29*t[47])/2 + (3*t[48])/4 - (83*t[49])/8 - 
       (47*t[50])/4 - 3*t[51] + (63*t[52])/4 + (39*t[53])/8 - (17*t[54])/4 - 
       t[58] - (9*t[59])/2 - (11*t[60])/4 - (27*t[61])/2 + (195*t[62])/2 + 
       (13*t[63])/2 + (233*t[64])/4 - (55*t[65])/4 + (273*t[66])/4 + t[69] + 
       7*t[70] - 7*t[71] + 4*t[72] + 8*t[73] + 15*t[74] + 14*t[75] - 
       3*t[76] + 18*t[78] + 4*t[79] - 22*t[80] - (25*t[81])/2 + 
       (61*t[82])/2 - (17*t[83])/2 + (29*t[84])/4 + (3*t[85])/2 - 103*t[86] - 
       t[87] + (17*t[88])/2 + (121*t[89])/8 - 2*t[95] - 2*t[96] + t[97] - 
       36*t[98] + 12*t[99] + 18*t[100])*\[Zeta][2] + 
     K1[u, v, w]*(2*t[3] + (5*t[4])/2 + (5*t[5])/2 - (7*t[6])/2 - 2*t[7] - 
       6*t[8] - (9*t[9])/2 + 8*t[10] - 5*t[11] - (3*t[12])/2 + (11*t[13])/6 - 
       (20*t[14])/3 - (7*t[15])/12 - t[25] + t[26] + t[27] - 3*t[39] - 
       (5*t[48])/2 + (3*t[50])/2 + t[51]/2 - (3*t[52])/2 - (7*t[54])/2 - 
       7*t[60] - 25*t[61] + (19*t[62])/2 - (19*t[63])/2 - (9*t[64])/2 + 
       (46*t[66])/3 + 3*t[82] - 2*t[84] + t[85] + 3*t[87] + (3*t[88])/2 + 
       (9*t[89])/2 + 24*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((9*t[1])/2 - (73*t[2])/4 + 3*t[3] - 18*t[4] + (65*t[5])/4 - 11*t[6] + 
       (115*t[7])/8 - (147*t[8])/8 + (43*t[9])/8 - 29*t[10] - (23*t[11])/8 + 
       (33*t[12])/8 - (4021*t[13])/144 - 17*t[14] - (929*t[15])/48 + 
       2*t[18] + 3*t[19] - t[21] + t[23] + 3*t[24] - 5*t[25] + 3*t[26] - 
       5*t[27] - 7*t[28] + 5*t[31] + 3*t[32] + 2*t[34] - 3*t[35] + 2*t[36] + 
       2*t[37] + 4*t[38] - 4*t[39] - 2*t[40] + t[41]/2 + t[42]/2 - 
       (7*t[43])/8 + 3*t[44] - (21*t[45])/4 - 2*t[46] + (41*t[47])/2 - 
       (61*t[48])/8 + (59*t[49])/8 + (99*t[50])/8 - (9*t[51])/4 - 
       (99*t[52])/8 - (15*t[53])/8 - (147*t[54])/8 + t[58] - (9*t[59])/2 - 
       44*t[60] - (265*t[61])/4 - (159*t[62])/8 + (199*t[63])/8 + 
       (491*t[64])/8 + (17*t[65])/6 + (143*t[66])/3 + 3*t[69] - 9*t[70] + 
       9*t[71] - 2*t[72] + 12*t[73] - 3*t[74] - 2*t[75] + 19*t[76] - 
       2*t[77] - 16*t[78] + 12*t[79] + 14*t[80] - (7*t[81])/2 + 
       (11*t[82])/2 + 20*t[83] - (25*t[84])/2 + (19*t[85])/4 + 25*t[86] + 
       (45*t[87])/4 - (27*t[88])/8 - (7*t[89])/4 + 2*t[95] + 2*t[96] - 
       t[97] + 84*t[98] - 192*t[99] + 207*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*((19*t[1])/2 - (75*t[2])/4 + t[3]/2 + 
       (45*t[4])/2 - (3*t[5])/2 - (21*t[6])/2 - (229*t[7])/8 + (573*t[8])/8 - 
       (47*t[9])/8 - (61*t[10])/2 + (61*t[11])/8 - (125*t[12])/8 - 
       (745*t[13])/144 - (63*t[14])/2 - (241*t[15])/16 + 2*t[18] + 3*t[19] + 
       9*t[21] - 9*t[23] + 5*t[24] - 3*t[25] + t[26] + 13*t[27] + 11*t[28] + 
       5*t[31] - 5*t[32] + 4*t[33] + 2*t[34] - 17*t[35] - 2*t[36] + 4*t[37] + 
       4*t[38] + 10*t[39] + 2*t[40] + (11*t[41])/2 - (9*t[42])/2 - 
       (31*t[43])/8 - 3*t[44] - (61*t[45])/4 + 4*t[46] + (73*t[47])/2 + 
       (143*t[48])/8 + (7*t[49])/8 - (89*t[50])/8 - 4*t[51] + (89*t[52])/8 + 
       (21*t[53])/8 + (45*t[54])/8 + t[58] - (9*t[59])/2 - (87*t[60])/2 - 
       (287*t[61])/4 + (375*t[62])/8 - (351*t[63])/8 + (929*t[64])/8 + 
       (427*t[65])/6 + 47*t[66] - 7*t[69] - 9*t[70] + 9*t[71] + 8*t[73] + 
       5*t[74] + 14*t[75] + 19*t[76] + 2*t[77] - 12*t[78] + 4*t[79] + 
       38*t[80] - (9*t[81])/2 + (53*t[82])/2 - (3*t[83])/2 - (17*t[84])/2 + 
       (25*t[85])/4 - 17*t[86] + (71*t[87])/4 - t[88]/8 + (97*t[89])/2 + 
       2*t[95] + 2*t[96] - t[97] + 84*t[98] - 192*t[99] + 207*t[100])*
      \[Zeta][2] + Phi6[u, v, w]*((9*t[2])/5 - (23*t[4])/5 + (31*t[5])/5 - 
       (4*t[6])/5 + (12*t[8])/5 + (11*t[9])/5 + (54*t[10])/5 - (74*t[11])/5 + 
       (23*t[12])/5 - (233*t[13])/30 - (37*t[14])/15 - t[15]/6 - 6*t[25] + 
       6*t[26] - 2*t[27] + (12*t[35])/5 + 6*t[39] + (4*t[48])/5 - 2*t[49] - 
       (14*t[50])/5 + (14*t[52])/5 + 2*t[53] + (34*t[54])/5 + (48*t[60])/5 - 
       (104*t[61])/5 + (18*t[62])/5 + (8*t[63])/5 - (49*t[64])/5 + 
       (301*t[65])/15 + (263*t[66])/15 - (6*t[81])/5 - (24*t[82])/5 - 
       (18*t[83])/5 + (9*t[84])/5 + 6*t[85] - (48*t[87])/5 - (24*t[88])/5 + 
       3*t[89])*\[Zeta][2]^2 + 2*HPL[{1}, 1 - w]*Phi6[u, v, w]*t[57]*
      \[Zeta][3] + HPL[{1}, 1 - u]*Phi6[u, v, w]*(-2*t[60] - t[62] + t[63] + 
       4*t[64] - (4*t[65])/3 + t[82] + 2*t[87] + t[88] + t[89])*\[Zeta][3]
 
TuvwCoproductEntriet[yw] = C4[v, w, u]*t[1] + C1[u, w, v]*t[2] + 
     C5[v, w, u]*t[3] + C2[w, v, u]*t[5] + C7[v, w, u]*t[7] + 
     C9[v, w, u]*t[8] + C6[u, v, w]*t[9] + A4[u, v, w]*HPL[{1}, 1 - u]*
      t[10] + C1[u, v, w]*t[12] + (A5[u, v, w]*HPL[{1}, 1 - v]*t[13])/9 + 
     A1[u, v, w]*HPL[{1}, 1 - v]*(t[9]/2 + t[15]/6) + 
     (C10[v, w, u]*t[15])/2 + C3[v, w, u]*t[15] + 
     (A1[u, v, w]*HPL[{1}, 1 - u]*t[15])/6 - 
     (A5[v, w, u]*HPL[{1}, 1 - u]*t[15])/9 + C18[u, v, w]*t[17] + 
     C12[u, v, w]*t[24] + A7[u, v, w]*HPL[{1}, 1 - u]*t[28] + 
     C13[u, w, v]*(t[9]/2 + t[15]/6 + t[32]) + C14[v, u, w]*(t[28] + t[33]) + 
     C15[w, v, u]*t[35] + A5[u, v, w]*HPL[{1}, 1 - u]*t[35] + 
     C21[u, v, w]*t[45] + C23[u, v, w]*t[47] + A1[w, v, u]*HPL[{1}, 1 - u]*
      ((-3*t[2])/2 + t[15]/2 + t[59]/2) + C4[w, u, v]*t[59] + 
     C5[w, u, v]*t[60] + C6[w, u, v]*t[61] + A3[w, u, v]*HPL[{1}, 1 - u]*
      (t[14] - t[29] + t[61]) + C7[w, u, v]*t[62] + C9[w, u, v]*t[63] + 
     C8[w, u, v]*t[64] + (A2[u, v, w]*HPL[{1}, 1 - u]*t[64])/2 + 
     A3[u, v, w]*HPL[{1}, 1 - u]*(-t[9]/2 - t[15]/6 - (2*t[65])/3) + 
     H1[w, u, v]*HPL[{1}, 1 - u]^2*(t[3]/2 - t[8] + t[9]/2 - t[15]/3 + 
       t[60]/2 - t[63] - t[65]/6) + HPL[{1}, 1 - u]^4*Phi6[u, v, w]*
      (t[3]/2 - t[8] + t[9]/2 - t[15]/3 + t[60]/2 - t[63] - t[65]/6) + 
     H1[v, w, u]*HPL[{1}, 1 - u]^2*((-3*t[3])/2 + t[8] - t[9]/2 + t[15] + 
       t[60]/2 + t[63] - t[65]/6) + HPL[{1}, 1 - u]^2*J1[w, u, v]*
      (-t[3]/8 - (3*t[8])/4 + (3*t[9])/8 + t[15]/12 - t[60]/8 - (3*t[63])/4 + 
       t[65]/24) + HPL[{1}, 1 - u]^2*J1[v, w, u]*((-5*t[3])/8 + (3*t[8])/4 - 
       (3*t[9])/8 + (5*t[15])/12 - t[60]/8 + (3*t[63])/4 + t[65]/24) + 
     HPL[{1}, 1 - u]^2*J1[u, v, w]*(-t[3]/8 + (3*t[8])/4 - (3*t[9])/8 + 
       t[15]/12 - (5*t[60])/8 + (3*t[63])/4 + (5*t[65])/24) + 
     H1[u, v, w]*HPL[{1}, 1 - u]^2*(t[3]/2 + t[8] - t[9]/2 - t[15]/3 - 
       (3*t[60])/2 + t[63] + t[65]/2) + A2[w, v, u]*HPL[{1}, 1 - u]*
      (t[62]/2 - (3*t[63])/2 + (2*t[65])/3) + C10[w, u, v]*t[65] + 
     (2*A1[u, w, v]*HPL[{1}, 1 - u]*t[65])/3 + A2[v, w, u]*HPL[{1}, 1 - u]*
      (t[15]/3 - t[44] - t[60] + t[65]) + C19[u, v, w]*
      (-t[9]/2 - t[15]/6 + (4*t[65])/3) + H1[w, u, v]*HPL[{1}, 1 - w]^2*
      ((-3*t[3])/2 + t[8] + t[13]/4 + (2*t[15])/3 - t[61]/2 - t[62]/2 + 
       t[64] - t[66]) + H1[v, w, u]*HPL[{1}, 1 - v]^2*
      (-t[1]/4 - t[4] - (3*t[6])/4 - t[7] + t[10] + t[12]/2 + (5*t[13])/12 + 
       t[60]/2 + 2*t[63] + t[64]/2 - t[65]/6 - t[66]) + 
     F1[w, u, v]*HPL[{1}, 1 - w]^3*(t[3] - 2*t[8] + t[13]/6 - t[15]/3 + 
       t[61] + t[62] - 2*t[64] - (2*t[66])/3) + HPL[{1}, 1 - w]^2*J1[w, u, v]*
      ((-5*t[3])/8 + (3*t[8])/4 + (5*t[13])/48 + t[15]/3 - (3*t[61])/8 - 
       (3*t[62])/8 + (3*t[64])/4 - (5*t[66])/12) + 
     HPL[{1}, 1 - w]^4*Phi6[u, v, w]*(t[3]/2 - t[8] + t[13]/12 - t[15]/6 + 
       t[61]/2 + t[62]/2 - t[64] - t[66]/3) + H1[w, u, v]*HPL[{1}, 1 - v]^2*
      (-t[1]/4 + t[4] + t[6]/4 - t[7] + t[10] - t[12]/2 + t[13]/12 - 
       (3*t[60])/2 + 2*t[63] - t[64]/2 + t[65]/2 - t[66]/3) + 
     HPL[{1}, 1 - v]^2*J1[v, w, u]*(t[1]/16 - (3*t[4])/4 - (5*t[6])/16 - 
       (3*t[7])/4 + (3*t[10])/4 + (3*t[12])/8 + t[13]/16 - t[60]/8 + 
       (3*t[63])/2 + (3*t[64])/8 + t[65]/24 - t[66]/12) + 
     HPL[{1}, 1 - v]^4*Phi6[u, v, w]*(t[1]/24 + t[6]/4 + t[7] - t[10] + 
       t[13]/18 + t[60]/2 - 2*t[63] - t[65]/6 + t[66]/18) + 
     H1[v, w, u]*HPL[{1}, 1 - w]^2*(t[3]/2 - t[8] - t[13]/12 + t[61]/2 + 
       t[62]/2 - t[64] + t[66]/3) + HPL[{1}, 1 - v]^2*J1[w, u, v]*
      (t[1]/16 + (3*t[4])/4 - t[6]/16 - (3*t[7])/4 + (3*t[10])/4 - 
       (3*t[12])/8 - (17*t[13])/48 - (5*t[60])/8 + (3*t[63])/2 - 
       (3*t[64])/8 + (5*t[65])/24 + (5*t[66])/12) + 
     HPL[{1}, 1 - w]^2*J1[v, w, u]*(-t[3]/8 - (3*t[8])/4 - (7*t[13])/48 + 
       t[15]/6 + (3*t[61])/8 + (3*t[62])/8 - (3*t[64])/4 + (7*t[66])/12) + 
     HPL[{1}, 1 - v]^2*J1[u, v, w]*((5*t[1])/16 + (3*t[4])/4 - t[6]/16 + 
       (3*t[7])/4 - (3*t[10])/4 - (3*t[12])/8 - (3*t[13])/16 - t[60]/8 - 
       (3*t[63])/2 - (3*t[64])/8 + t[65]/24 + (7*t[66])/12) + 
     HPL[{1}, 1 - w]^2*J1[u, v, w]*(-t[3]/8 + (3*t[8])/4 - (11*t[13])/48 - 
       t[15]/12 - (3*t[61])/8 - (3*t[62])/8 + (3*t[64])/4 + (11*t[66])/12) + 
     A1[v, u, w]*HPL[{1}, 1 - v]*(t[1]/2 + t[13]/6 + t[59]/2 + (4*t[66])/3) + 
     A1[w, u, v]*HPL[{1}, 1 - v]*(-t[6]/2 - t[13]/2 - t[42]/2 + t[59]/2 + 
       (4*t[66])/3) + C26[v, w, u]*(-t[13]/3 + (2*t[65])/3 + (4*t[66])/3) + 
     C13[w, u, v]*((3*t[2])/2 - t[13]/3 + t[14]/3 - t[15]/2 - t[59]/2 + 
       t[61]/2 + (2*t[65])/3 + (4*t[66])/3) + H1[u, v, w]*HPL[{1}, 1 - w]^2*
      (t[3]/2 + t[8] - (5*t[13])/12 - t[15]/3 - t[61]/2 - t[62]/2 + t[64] + 
       (5*t[66])/3) + H1[u, v, w]*HPL[{1}, 1 - v]^2*((3*t[1])/4 + t[4] + 
       t[6]/4 + t[7] - t[10] - t[12]/2 - (7*t[13])/12 + t[60]/2 - 2*t[63] - 
       t[64]/2 - t[65]/6 + (5*t[66])/3) + C10[u, v, w]*(-t[13]/2 + 2*t[66]) + 
     A4[u, v, w]*HPL[{1}, 1 - v]*(t[6]/2 - (13*t[13])/12 + 4*t[66]) + 
     C17[w, u, v]*t[67] + C19[v, w, u]*(-t[1]/2 + (3*t[12])/2 - (5*t[13])/6 + 
       t[69]) + A1[v, w, u]*HPL[{1}, 1 - v]*(-t[1] + 2*t[12] + (2*t[13])/3 + 
       t[59]/2 - t[61]/2 - (2*t[65])/3 - (4*t[66])/3 + t[69]) + 
     A1[w, v, u]*HPL[{1}, 1 - v]*((-3*t[2])/2 + t[13]/3 - t[14]/3 + t[15]/2 - 
       t[18] + t[59]/2 - t[61]/2 - (2*t[65])/3 - (4*t[66])/3 + t[69]) + 
     A1[w, u, v]*HPL[{1}, 1 - u]*(-t[2]/2 - t[13]/3 - t[14] - t[15]/6 + 
       t[59]/2 - t[61]/2 + (4*t[66])/3 + t[69]) + C16[w, u, v]*t[70] + 
     C19[w, u, v]*((-3*t[2])/2 - t[14]/3 + t[15]/2 + t[59]/2 - t[61]/2 + 
       (2*t[66])/3 + t[69] - t[70] + t[71]) + C21[v, w, u]*t[73] + 
     A8[u, v, w]*HPL[{1}, 1 - u]*t[73] + C22[w, u, v]*t[74] + 
     C23[v, w, u]*t[75] + A9[u, v, w]*HPL[{1}, 1 - u]*t[75] + 
     2*C24[u, v, w]*t[79] + 2*A7[u, v, w]*HPL[{1}, 1 - v]*t[79] + 
     C15[v, w, u]*(-t[13]/9 + t[37] - 2*t[80]) + 
     C24[w, u, v]*(t[81] - t[82]) - C14[w, v, u]*t[82] + 
     A6[w, u, v]*HPL[{1}, 1 - u]*(t[20] + t[83]) + 
     A6[v, w, u]*HPL[{1}, 1 - u]*(-t[48] + t[72] + t[83]) + 
     A2[v, u, w]*HPL[{1}, 1 - v]*(t[7] + t[8] - 2*t[10] - (2*t[14])/3 - 
       t[62]/2 - (5*t[63])/2 + (3*t[64])/2 + (2*t[65])/3 + 2*t[86]) + 
     A2[w, u, v]*HPL[{1}, 1 - v]*(-t[4] + t[7]/2 + t[8]/2 + t[9]/2 - 
       t[10]/2 + t[12] - t[15]/4 - t[43]/2 - t[62]/2 - (5*t[63])/2 + 
       (3*t[64])/2 + (2*t[65])/3 + 2*t[86]) + A3[u, v, w]*HPL[{1}, 1 - v]*
      (t[7] + t[8] - t[9]/2 - t[10] - 2*t[62] - 2*t[63] + 2*t[64] + 
       4*t[86]) + C26[u, v, w]*(t[2] + t[7] + t[8] + t[9] - t[10] + t[12] - 
       t[15]/6 - 2*t[62] - 2*t[63] + 2*t[64] + (2*t[65])/3 + 4*t[86]) + 
     Omega2[u, v, w]*Phi6[u, v, w]*((3*t[60])/2 + t[61]/2 + (11*t[62])/4 + 
       (11*t[63])/4 + t[64]/2 + (9*t[65])/4 + (7*t[66])/4 - t[81]/2 + 
       t[82]/2 - (3*t[83])/2 + (3*t[84])/4 - (3*t[87])/2 - (3*t[88])/4) + 
     Omega2[v, w, u]*Phi6[u, v, w]*((3*t[60])/2 + t[61]/2 + (11*t[62])/4 + 
       (11*t[63])/4 + t[64]/2 + (9*t[65])/4 + (7*t[66])/4 - t[81]/2 + 
       t[82]/2 - (3*t[83])/2 + (3*t[84])/4 - (3*t[87])/2 - (3*t[88])/4) + 
     A4[v, w, u]*HPL[{1}, 1 - u]*(-t[3]/2 + t[15]/12 - t[88]/2) + 
     C11[v, u, w]*(-t[3]/2 + t[14] - t[15]/4 + t[20] + t[34] + 2*t[60] - 
       2*t[65] - t[87] - t[88]/2) + A2[v, u, w]*HPL[{1}, 1 - u]*
      (t[3]/2 - (5*t[15])/12 + t[20] + t[60] - t[65] - t[87] - t[88]/2) + 
     C11[w, u, v]*(-t[3]/2 + t[4] - (3*t[5])/4 + t[6]/2 + t[7]/2 + 
       (3*t[8])/2 + (3*t[9])/4 + (3*t[10])/2 + t[11]/2 - t[12]/4 + t[13]/4 + 
       (11*t[14])/12 + (7*t[15])/24 + 2*t[60] + 2*t[61] - 2*t[62] - t[64] - 
       t[65] - t[66] - t[87] - t[88]/2) + A4[w, u, v]*HPL[{1}, 1 - v]*
      (-t[3]/2 + t[4] + t[5]/4 + t[6]/2 + t[7]/2 + (3*t[8])/2 + (3*t[9])/4 + 
       (3*t[10])/2 + t[11]/2 - t[12]/4 + t[13]/4 + (11*t[14])/12 + 
       (7*t[15])/24 + 2*t[60] + 2*t[61] - 2*t[62] - t[64] - t[65] - t[66] - 
       t[87] - t[88]/2) + A4[v, w, u]*HPL[{1}, 1 - v]*
      (-t[5]/4 + t[7]/2 - t[8]/2 + t[9]/4 - t[10]/2 + t[11]/2 + t[12]/4 + 
       (3*t[14])/4 - (5*t[15])/24 + t[20] - t[22] + 2*t[60] + 2*t[61] - 
       2*t[62] - t[64] - t[65] - t[66] - t[87] - t[88]/2) + 
     C11[v, w, u]*(t[3]/2 - t[14] + t[15]/4 - 2*t[60] + 2*t[65] + t[87] + 
       t[88]/2) + Omega2[w, u, v]*Phi6[u, v, w]*((-3*t[60])/2 - t[61]/2 - 
       (11*t[62])/4 - (11*t[63])/4 - t[64]/2 - (9*t[65])/4 - (7*t[66])/4 + 
       t[81]/2 - t[82]/2 + (3*t[83])/2 - (3*t[84])/4 + (3*t[87])/2 + 
       (3*t[88])/4) + HPL[{1}, 1 - v]^2*K1[u, v, w]*(t[1]/4 + (21*t[4])/4 - 
       (5*t[5])/2 - t[6]/4 - (3*t[7])/8 - (11*t[8])/8 + t[9] + (5*t[10])/4 - 
       (3*t[11])/2 + (7*t[12])/8 - (59*t[13])/36 + (47*t[14])/24 - 
       (19*t[15])/24 + t[37]/2 - t[43]/2 - t[46]/4 + (7*t[49])/8 - t[51]/4 - 
       (7*t[53])/8 - t[54]/4 + t[59]/2 + (7*t[60])/4 - (5*t[61])/4 + 
       (29*t[62])/8 + (27*t[63])/8 - (89*t[64])/8 - (55*t[65])/12 + 
       (11*t[66])/12 + (3*t[69])/2 - t[70] + t[71] - t[74]/2 - (3*t[79])/2 - 
       4*t[80] - t[84]/4 + t[85]/4 - (11*t[86])/2 - (7*t[87])/4 - 
       (7*t[88])/8 - (15*t[89])/8) + C13[u, v, w]*(-t[5]/2 + t[11] + 
       t[12]/2 + t[14]/6 - t[15]/4 + 2*t[61] - t[62] + t[63] + t[64] - 
       (4*t[65])/3 - 2*t[66] - t[77] - t[89]) + 
     C20[u, v, w]*(t[3]/2 + t[5] + t[6]/4 - t[7] - t[8] - (3*t[9])/2 - 
       t[11]/4 - (3*t[14])/4 - t[48]/4 - t[50]/4 + t[52]/4 + t[54]/4 - 
       t[60]/2 - t[61]/2 - t[62]/4 + t[63]/4 + (5*t[64])/4 - (5*t[65])/6 + 
       (3*t[66])/2 - t[84]/2 - t[85]/2 + t[87]/2 + t[88]/4 - (3*t[89])/4) + 
     C25[u, v, w]*(t[2] + t[5]/2 + t[6]/2 - t[9]/2 - t[10] + t[12]/2 + 
       t[13]/4 + t[14]/6 + t[15]/4 + t[61] + t[62]/2 - t[63]/2 + t[64]/2 - 
       t[65]/3 - t[89]/2) + C25[v, w, u]*(-t[3]/2 - t[6]/2 + t[7] - t[8] + 
       t[9] + t[11]/2 + t[14]/2 + t[15]/4 - t[48]/2 + t[50]/2 - t[52]/2 - 
       t[54]/2 + t[61] - t[62]/2 + t[63]/2 + t[64]/2 - t[65]/3 - 
       (2*t[66])/3 + t[83] - t[89]/2) + A5[w, u, v]*HPL[{1}, 1 - v]*
      (t[4] + t[10]/2 - t[12]/2 - t[13]/3 + (3*t[14])/4 - t[15]/6 + t[49]/2 - 
       t[51]/4 - t[53]/2 + t[60] - t[62]/2 + t[63]/2 - 2*t[64] - 
       (4*t[65])/3 - (2*t[66])/3 - t[87] - t[88]/2 - t[89]/2) + 
     C15[w, u, v]*(-t[6]/2 + t[7] - 2*t[8] + t[9] + t[11]/2 + t[14]/2 - 
       t[15]/6 - t[48]/2 + t[50]/2 - t[52]/2 - t[54]/2 + t[60] - t[62]/2 + 
       t[63]/2 - 2*t[64] - (4*t[65])/3 - (2*t[66])/3 - t[87] - t[88]/2 - 
       t[89]/2) + A5[v, w, u]*HPL[{1}, 1 - v]*(-t[6]/2 + t[7] - 2*t[8] + 
       t[9] + t[11]/2 + t[14]/2 - t[15]/6 - t[48]/2 + t[50]/2 - t[52]/2 - 
       t[54]/2 + t[60] - t[62]/2 + t[63]/2 - 2*t[64] - (4*t[65])/3 - 
       (2*t[66])/3 - t[87] - t[88]/2 - t[89]/2) + 
     C15[v, u, w]*(2*t[4] - (3*t[5])/2 - t[7]/2 - t[8]/2 + t[9] + 2*t[10] - 
       t[11] - (7*t[13])/9 + (7*t[14])/12 - (2*t[15])/3 - t[43]/2 + t[49]/2 - 
       t[51]/4 - t[53]/2 + t[60] - t[61] + t[62] + t[63] - (11*t[64])/2 - 
       (4*t[65])/3 + (4*t[66])/3 - 2*t[80] - 2*t[86] - t[87] - t[88]/2 - 
       t[89]/2) + HPL[{1}, 1 - w]^2*K1[v, w, u]*((-9*t[2])/8 - t[3]/8 - 
       (3*t[5])/8 - t[6]/4 + (7*t[7])/8 - (5*t[8])/8 + t[9]/2 - (3*t[10])/8 + 
       (3*t[11])/8 + t[12]/4 + (5*t[13])/48 + t[14]/4 + (17*t[15])/48 + 
       t[35]/2 - (3*t[48])/8 + (3*t[50])/8 - (3*t[52])/8 - (3*t[54])/8 + 
       t[59]/4 + t[60]/2 + t[61]/4 + t[62]/2 + t[63] - 2*t[64] - t[65]/2 - 
       t[66]/3 + t[69]/2 - t[70]/2 + t[71]/2 - t[74]/2 - t[79]/2 + t[83]/4 + 
       t[86]/2 - t[87]/2 - t[88]/4 - t[89]/2) + A6[u, v, w]*HPL[{1}, 1 - u]*
      (-t[6]/2 + t[7] - t[8] + t[11]/2 - t[14]/2 + t[15]/2 - t[48]/2 + 
       t[50]/2 - t[52]/2 - t[54]/2 - 2*t[60] + t[61] - t[62]/2 + t[63]/2 + 
       t[64]/2 + (5*t[65])/3 - (2*t[66])/3 + t[83] + t[87] + t[88]/2 - 
       t[89]/2) + C13[v, u, w]*(t[5] - t[6]/2 - t[9] + t[11]/2 - t[12]/2 - 
       t[13]/2 - t[14]/2 + t[15]/2 + t[48]/2 + t[50]/2 - t[52]/2 - t[54]/2 - 
       t[60] + t[61] - t[62]/2 + t[63]/2 + t[64]/2 + t[65]/3 + (4*t[66])/3 - 
       t[85] + t[87] + t[88]/2 - t[89]/2) + C26[w, u, v]*
      (-t[4] + t[10]/2 - t[11] + t[12]/2 - (2*t[13])/3 - t[14]/12 - t[15]/6 - 
       t[49]/2 + t[51]/4 + t[53]/2 + t[54] - t[60] + t[61] - t[62]/2 + 
       t[63]/2 + t[64]/2 + (2*t[65])/3 + 2*t[66] - t[85] + t[87] + t[88]/2 - 
       t[89]/2) + A4[w, u, v]*HPL[{1}, 1 - u]*(-t[6]/4 - t[9]/2 + t[11]/4 - 
       t[13]/6 - t[14]/4 + t[15]/4 + t[48]/4 + t[50]/4 - t[52]/4 - t[54]/4 - 
       (3*t[60])/2 + t[61]/2 + t[62]/4 + (7*t[63])/4 + t[64]/4 + t[65]/2 + 
       (3*t[66])/2 - t[84]/2 - t[85]/2 + t[87]/2 + t[88]/4 - t[89]/4) + 
     C11[w, v, u]*(t[5] - t[6]/4 - t[9]/2 + t[11]/4 - t[13]/6 - t[14]/4 + 
       t[15]/4 + t[48]/4 + t[50]/4 - t[52]/4 - t[54]/4 - (3*t[60])/2 + 
       t[61]/2 + t[62]/4 + (7*t[63])/4 + t[64]/4 + t[65]/2 + (3*t[66])/2 - 
       t[84]/2 - t[85]/2 + t[87]/2 + t[88]/4 - t[89]/4) + 
     A6[v, w, u]*HPL[{1}, 1 - v]*(t[4]/2 + t[5]/2 - t[9]/2 - (9*t[10])/4 + 
       2*t[11] + t[12]/4 + (7*t[13])/6 + (5*t[14])/24 + t[15]/6 + t[49]/4 - 
       t[51]/8 - t[53]/4 - t[54]/2 + t[60]/2 + (3*t[61])/2 + (3*t[62])/4 - 
       (3*t[63])/4 - t[64]/4 + t[65]/2 - (17*t[66])/6 + t[84]/2 + t[85]/2 - 
       t[87]/2 - t[88]/4 + t[89]/4) + A6[w, u, v]*HPL[{1}, 1 - v]*
      (-t[3]/2 - t[5] + t[6]/4 + t[7] + t[8] + (3*t[9])/2 - t[10] + t[11]/4 + 
       (5*t[13])/12 + (3*t[14])/4 + t[48]/4 + t[50]/4 - t[52]/4 + 
       (3*t[54])/4 + t[60]/2 + (3*t[61])/2 + (3*t[62])/4 - (3*t[63])/4 - 
       t[64]/4 + t[65]/2 - (17*t[66])/6 + t[84]/2 + t[85]/2 - t[87]/2 - 
       t[88]/4 + t[89]/4) + C20[v, w, u]*(-t[3]/2 + t[4]/2 - t[5]/4 - 
       t[7]/2 + t[8]/2 + t[9]/4 + (3*t[10])/4 + (3*t[11])/2 + t[12]/2 + 
       (5*t[13])/6 + (25*t[14])/24 + t[15]/8 - t[49]/4 + t[51]/8 + t[53]/4 - 
       t[54]/2 + (3*t[60])/2 + (3*t[61])/2 - (9*t[62])/4 - (7*t[63])/4 - 
       (3*t[64])/4 + t[65]/2 - (5*t[66])/2 + t[72] + t[84]/2 + t[85]/2 - 
       t[87]/2 - t[88]/4 + t[89]/4) + A2[v, w, u]*HPL[{1}, 1 - v]*
      (t[4]/2 - t[7] + t[8] + (5*t[10])/4 + t[11] + t[12]/4 + (5*t[13])/6 + 
       (7*t[14])/24 + t[15]/12 - t[49]/4 + t[51]/8 + t[53]/4 - t[54]/2 + 
       t[60]/2 - t[61]/2 - t[62]/4 - (7*t[63])/4 - t[64]/4 + t[65]/2 - 
       (3*t[66])/2 + t[72] + t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + 
       t[89]/4) + A2[w, v, u]*HPL[{1}, 1 - v]*(-t[5] + t[6]/4 + t[9]/2 - 
       t[11]/4 + t[13]/6 + t[14]/4 - t[15]/4 - t[48]/4 - t[50]/4 + t[52]/4 + 
       t[54]/4 + t[60]/2 - t[61]/2 - t[62]/4 - (7*t[63])/4 - t[64]/4 + 
       t[65]/2 - (3*t[66])/2 + t[72] + t[84]/2 + t[85]/2 - t[87]/2 - 
       t[88]/4 + t[89]/4) + A2[w, u, v]*HPL[{1}, 1 - u]*
      (t[6]/4 + t[9]/2 - t[11]/4 + t[13]/6 + t[14]/4 - t[15]/4 - t[30] - 
       t[48]/4 - t[50]/4 + t[52]/4 + t[54]/4 + t[60]/2 - t[61]/2 - t[62]/4 - 
       (7*t[63])/4 - t[64]/4 + t[65]/2 - (3*t[66])/2 + t[72] + t[84]/2 + 
       t[85]/2 - t[87]/2 - t[88]/4 + t[89]/4) + A3[w, u, v]*HPL[{1}, 1 - v]*
      (t[4] + t[6]/2 - t[10]/2 + t[11] - t[12]/2 + t[13]/3 - t[14]/12 - 
       t[15]/6 + t[49]/2 - t[51]/4 - t[53]/2 - t[54] + t[60] + t[62]/2 - 
       t[63]/2 - t[64]/2 - t[65] + t[85] - t[87] - t[88]/2 + t[89]/2) + 
     A3[v, w, u]*HPL[{1}, 1 - v]*(-t[5] + t[6]/2 + t[9] - t[11]/2 + t[12]/2 - 
       (5*t[13])/6 + t[14]/2 - t[15]/2 + t[31] - t[48]/2 - t[50]/2 + 
       t[52]/2 + t[54]/2 + t[60] + t[62]/2 - t[63]/2 - t[64]/2 - t[65] + 
       t[85] - t[87] - t[88]/2 + t[89]/2) + C13[w, v, u]*
      (-t[2]/2 + t[4] - t[10]/2 + t[11] - t[12]/2 + (5*t[13])/6 - t[14]/12 + 
       t[15]/6 - t[41]/2 + t[42]/2 + t[49]/2 - t[51]/4 - t[53]/2 - t[54] - 
       t[59]/2 + t[60] - t[61]/2 + t[62]/2 - t[63]/2 - t[64]/2 - t[65] - 
       (8*t[66])/3 + t[85] - t[87] - t[88]/2 + t[89]/2) + 
     C13[v, w, u]*(-t[5] + t[6]/2 + t[9] - t[11]/2 + t[12]/2 + t[13]/2 + 
       t[14]/2 - t[15]/2 + t[31] - t[48]/2 - t[50]/2 + t[52]/2 + t[54]/2 + 
       t[60] - t[61] + t[62]/2 - t[63]/2 - t[64]/2 - t[65]/3 - (4*t[66])/3 + 
       t[85] - t[87] - t[88]/2 + t[89]/2) + A1[v, u, w]*HPL[{1}, 1 - u]*
      (-t[5] + t[6]/2 + t[9] - t[11]/2 + t[12]/2 + t[13]/2 + t[14]/2 - 
       t[15]/2 + t[31] - t[48]/2 - t[50]/2 + t[52]/2 + t[54]/2 + t[60] - 
       t[61] + t[62]/2 - t[63]/2 - t[64]/2 - t[65]/3 - (4*t[66])/3 + t[85] - 
       t[87] - t[88]/2 + t[89]/2) + C15[u, w, v]*(t[6]/2 - t[7] + 2*t[8] - 
       t[9] - t[11]/2 - t[14]/2 + t[15]/6 + t[48]/2 - t[50]/2 + t[52]/2 + 
       t[54]/2 - t[60] + t[62]/2 - t[63]/2 + 2*t[64] + (4*t[65])/3 + 
       (2*t[66])/3 + t[87] + t[88]/2 + t[89]/2) + 
     C11[u, w, v]*(t[4]/2 - t[6]/2 - (5*t[10])/4 + 2*t[11] - t[12]/4 + 
       (11*t[13])/12 + t[14]/24 - t[15]/12 + t[49]/4 - t[51]/8 - t[53]/4 - 
       t[54]/2 + t[60]/2 + t[61]/2 + t[62]/4 - t[63]/4 - (3*t[64])/4 + 
       (5*t[65])/6 - (17*t[66])/6 + t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + 
       (3*t[89])/4) + A2[u, w, v]*HPL[{1}, 1 - v]*(t[4]/2 - (5*t[10])/4 + 
       t[11] - t[12]/4 + (5*t[13])/6 + t[14]/24 - t[15]/12 + t[49]/4 - 
       t[51]/8 - t[53]/4 - t[54]/2 + t[60]/2 + t[61]/2 + t[62]/4 - t[63]/4 - 
       (3*t[64])/4 + (5*t[65])/6 - (5*t[66])/6 + t[84]/2 + t[85]/2 - 
       t[87]/2 - t[88]/4 + (3*t[89])/4) + A2[u, v, w]*HPL[{1}, 1 - v]*
      (-t[3]/2 - t[5] - t[6]/4 + t[7] + t[8] + (3*t[9])/2 + t[10] + t[11]/4 - 
       t[13]/6 + (3*t[14])/4 + t[48]/4 + t[50]/4 - t[52]/4 + (3*t[54])/4 + 
       t[60]/2 + t[61]/2 + t[62]/4 - t[63]/4 - (3*t[64])/4 + (5*t[65])/6 - 
       (5*t[66])/6 + t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + (3*t[89])/4) + 
     C11[u, v, w]*(-t[3]/2 - t[5] + (3*t[6])/4 + t[7] + t[8] + (3*t[9])/2 + 
       t[10] - (3*t[11])/4 - t[13]/3 + (3*t[14])/4 + t[48]/4 + t[50]/4 - 
       t[52]/4 + (3*t[54])/4 + t[60]/2 + t[61]/2 + t[62]/4 - t[63]/4 - 
       (3*t[64])/4 + (5*t[65])/6 + (7*t[66])/6 + t[84]/2 + t[85]/2 - 
       t[87]/2 - t[88]/4 + (3*t[89])/4) + C15[u, v, w]*
      (t[6] - 2*t[7] + 4*t[8] - t[9] - t[11] - t[44] + t[48] - t[50] + 
       t[52] + t[54] - t[61] + (3*t[62])/2 - (3*t[63])/2 + (3*t[64])/2 + 
       (2*t[65])/3 + (4*t[66])/3 + t[89]) + A6[u, v, w]*HPL[{1}, 1 - v]*
      (-t[3]/2 + t[4]/2 - (3*t[5])/4 + (3*t[6])/4 - t[7]/2 + t[8]/2 + 
       (5*t[9])/4 + (3*t[10])/4 + (5*t[11])/4 + (5*t[13])/4 + (35*t[14])/24 + 
       t[15]/8 - t[48]/4 - t[49]/4 - t[50]/4 + t[51]/8 + t[52]/4 + t[53]/4 - 
       t[54]/4 + 2*t[60] + 2*t[61] + t[62] - t[63] - 4*t[64] + (4*t[65])/3 - 
       4*t[66] + 2*t[72] + t[84] + t[85] - 4*t[86] - t[87] - t[88]/2 + 
       t[89]) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (-t[1]/2 + (9*t[2])/8 + (15*t[3])/8 + t[4] - (9*t[5])/4 + (5*t[6])/4 - 
       (13*t[7])/8 + (47*t[8])/8 - (3*t[9])/8 + (11*t[10])/8 - (35*t[11])/8 + 
       (25*t[12])/8 - (145*t[13])/48 - (11*t[14])/6 - (13*t[15])/6 - 
       t[35]/2 + t[37] - t[43]/2 - t[45] + 2*t[47] + (15*t[48])/8 + t[49]/4 - 
       (15*t[50])/8 - t[51]/8 + (15*t[52])/8 - t[53]/4 + (19*t[54])/8 + 
       t[59]/2 + (9*t[60])/4 - (5*t[61])/2 + (3*t[62])/2 - (5*t[63])/2 - 
       (65*t[64])/8 + (11*t[65])/3 + (20*t[66])/3 + t[69]/2 + t[70]/2 - 
       t[71]/2 - t[74]/2 + t[79]/2 - 6*t[80] - (11*t[83])/4 + (3*t[84])/4 + 
       t[85]/4 + (5*t[86])/2 - (9*t[87])/4 - (9*t[88])/8 + (9*t[89])/8) + 
     C20[w, u, v]*(-t[5] + t[6]/4 + t[9]/2 - t[11]/4 + t[13]/6 + t[14]/4 - 
       t[15]/4 - t[48]/4 - t[50]/4 + t[52]/4 + t[54]/4 + t[60]/2 - t[61]/2 - 
       t[62]/4 - (7*t[63])/4 - t[64]/4 + (5*t[65])/6 - (3*t[66])/2 + t[72] + 
       t[84]/2 + t[85]/2 - t[87]/2 - t[88]/4 + (5*t[89])/4) + 
     HPL[{1}, 1 - u]^2*K1[w, u, v]*((3*t[6])/2 - 3*t[7] + 6*t[8] - 
       (7*t[9])/4 - (3*t[11])/2 - t[14]/2 + (5*t[15])/12 - t[44] + 
       (3*t[48])/2 - (3*t[50])/2 + (3*t[52])/2 + (3*t[54])/2 - t[60] - 
       t[61] + 2*t[62] - 2*t[63] + (7*t[64])/2 + 2*t[65] + 2*t[66] - t[75] + 
       2*t[83] + t[87] + t[88]/2 + (3*t[89])/2) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*((-9*t[2])/8 + (5*t[3])/8 - t[4] - 2*t[5] + t[6]/4 - 
       (31*t[7])/8 + (57*t[8])/8 - (15*t[9])/8 + (25*t[10])/8 - 
       (29*t[11])/8 - (7*t[12])/8 - (115*t[13])/48 - (25*t[14])/12 - 
       (13*t[15])/72 - t[35]/2 - t[44] + (17*t[48])/8 - t[49]/4 - 
       (17*t[50])/8 + t[51]/8 + (17*t[52])/8 + t[53]/4 + (21*t[54])/8 - 
       t[59]/4 - 3*t[60] - (17*t[61])/4 + (3*t[62])/4 - (17*t[63])/4 + 
       9*t[64] + (25*t[65])/4 + (31*t[66])/4 - t[69]/2 + t[70]/2 - t[71]/2 - 
       t[73] - t[74]/2 + 2*t[75] + (3*t[79])/2 - t[81]/2 + t[82]/2 - 
       t[83]/4 - t[84]/4 - t[85]/2 + (5*t[86])/2 + (5*t[87])/2 + 
       (5*t[88])/4 + (7*t[89])/2) + C28[u, v, w]*t[91] + 
     C21[w, u, v]*(t[73] + t[76] + 6*t[98]) + 
     C23[w, u, v]*(t[75] + t[78] + 6*t[99]) + HPL[{0, 0, 1, 1}, 1 - w]*
      Phi6[u, v, w]*((-3*t[1])/2 - (23*t[2])/4 - (167*t[3])/8 + 5*t[4] - 
       18*t[5] + (315*t[6])/16 + (207*t[7])/8 + (257*t[8])/8 + (151*t[9])/4 - 
       (213*t[10])/8 + (407*t[11])/16 + (21*t[12])/2 + (153*t[13])/16 + 
       (3079*t[14])/48 - (533*t[15])/144 - 2*t[20] + 4*t[21] - 4*t[23] + 
       2*t[24] + 2*t[27] + 8*t[28] + t[29]/2 - 19*t[30] - t[32] - t[33] + 
       6*t[34] - 12*t[35] + 3*t[36] + 2*t[37] - 2*t[38] + 11*t[39] - 
       6*t[40] + 3*t[41] - 3*t[42] + (9*t[43])/8 - t[44]/4 - 13*t[45] + 
       t[46]/2 + 12*t[47] - (17*t[48])/16 - (27*t[49])/4 - (173*t[50])/16 - 
       (9*t[51])/4 + (269*t[52])/16 + (27*t[53])/4 + (333*t[54])/16 - 
       2*t[57] - t[59]/2 + (353*t[60])/8 + (627*t[61])/8 - (415*t[62])/16 - 
       (73*t[63])/16 - (649*t[64])/16 - (1097*t[65])/24 - (469*t[66])/8 - 
       6*t[69] + 8*t[72] + 4*t[73] + 8*t[74] + 4*t[75] + 29*t[76] + 7*t[77] - 
       30*t[78] + 18*t[79] + 25*t[80] + 6*t[81] + 13*t[82] - 27*t[83] + 
       (139*t[84])/8 + (143*t[85])/8 - (71*t[86])/2 - (367*t[87])/8 - 
       (367*t[88])/16 - (253*t[89])/16 + t[97] + 200*t[98] - 248*t[99] - 
       222*t[100]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - v]*
      ((5*t[1])/2 - t[2]/4 - (83*t[3])/8 + (13*t[4])/2 + (141*t[5])/16 - 
       (27*t[6])/2 + (65*t[7])/8 - (219*t[8])/8 - (165*t[9])/16 + 
       (33*t[10])/8 + (147*t[11])/4 - (317*t[12])/16 + (2741*t[13])/144 + 
       (785*t[14])/48 + (1367*t[15])/96 - 4*t[25] + t[26] + t[27] - t[30] - 
       t[32] + t[33] + t[34] - 2*t[35] - 3*t[36] - 4*t[37] + 2*t[38] - 
       t[39] + 3*t[40] - t[41]/2 + t[42]/2 + (17*t[43])/4 + 2*t[44] + 
       (13*t[45])/4 - t[46] - (15*t[47])/2 - (109*t[48])/8 + (7*t[49])/2 + 
       (67*t[50])/8 + (3*t[51])/4 - (107*t[52])/8 - (7*t[53])/2 - 
       (147*t[54])/8 - t[58] - t[59]/2 + (145*t[60])/4 + (127*t[61])/2 - 
       (37*t[62])/4 + (83*t[63])/4 - (141*t[64])/4 - (283*t[65])/12 - 
       (151*t[66])/4 - 4*t[69] + 4*t[72] - 2*t[73] + 4*t[74] + 11*t[75] + 
       18*t[76] + 2*t[77] - 12*t[78] - 2*t[79] + 19*t[80] + (11*t[81])/2 + 
       (5*t[82])/2 + 5*t[83] + (17*t[84])/2 + (45*t[85])/4 - (15*t[86])/2 - 
       (125*t[87])/4 - (125*t[88])/8 - (159*t[89])/8 + t[97] + 74*t[98] - 
       72*t[99] - 112*t[100]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - u]*
      (2*t[1] + (17*t[2])/4 - (25*t[3])/2 + (85*t[4])/2 + (45*t[5])/8 + 
       (147*t[6])/16 + (133*t[7])/4 + (17*t[8])/2 + (115*t[9])/4 - 26*t[10] + 
       (1033*t[11])/16 + (41*t[12])/8 + (247*t[13])/9 + (2095*t[14])/48 + 
       (49*t[15])/36 - 2*t[27] + t[29] - 3*t[30] + t[32] - t[33] - 2*t[34] + 
       2*t[35] - 4*t[36] + t[38] + 2*t[39] - t[40]/2 + t[41] - t[42] + 
       t[43] + (5*t[44])/2 - (13*t[45])/2 - t[46]/2 + 14*t[47] - 
       (35*t[48])/16 + (63*t[49])/4 - (23*t[50])/16 - (21*t[51])/4 - 
       (9*t[52])/16 - (47*t[53])/4 - (197*t[54])/16 + t[59] + (489*t[60])/8 + 
       (939*t[61])/8 - (607*t[62])/16 - (481*t[63])/16 - (509*t[64])/16 - 
       (587*t[65])/8 - (821*t[66])/8 - t[72] + 7*t[75] + 15*t[76] + 3*t[77] - 
       14*t[78] - 5*t[79] + 17*t[80] + 4*t[81] - 13*t[82] - 11*t[83] + 
       (7*t[84])/8 - (9*t[85])/8 - 4*t[86] - (375*t[87])/8 - (375*t[88])/16 - 
       (209*t[89])/16 + 6*t[96] + 4*t[97] + 74*t[98] - 72*t[99] - 
       112*t[100]) + F1[w, u, v]*HPL[{0, 0, 1}, 1 - w]*
      (t[1]/4 - (11*t[2])/4 - (5*t[3])/4 - (31*t[4])/4 - (111*t[5])/16 + 
       (55*t[6])/16 + (23*t[7])/4 + (9*t[8])/4 + (71*t[9])/16 - 
       (53*t[10])/8 + (221*t[11])/16 + (135*t[12])/16 + (101*t[13])/12 + 
       (211*t[14])/16 + (317*t[15])/96 + t[25] - t[26]/2 - t[27] - t[28] - 
       2*t[30] - 3*t[31] - t[32] - t[33] + t[35] - t[36]/2 - (5*t[37])/2 - 
       t[38]/2 + t[39] + t[40]/2 - t[43] - t[44] + t[45]/2 - 2*t[47] + 
       (27*t[48])/16 - (33*t[49])/8 - (53*t[50])/16 + (47*t[51])/16 + 
       (21*t[52])/16 + (17*t[53])/8 + (145*t[54])/16 + t[59]/2 + 
       (105*t[60])/8 + (519*t[61])/8 - (151*t[62])/16 + (163*t[63])/16 - 
       (435*t[64])/16 + (29*t[65])/4 - (289*t[66])/12 - 2*t[69] + t[70] - 
       t[71] + 5*t[72] - 2*t[73] + t[74]/2 - 5*t[75] - (11*t[76])/2 - 
       t[77]/2 + (19*t[78])/2 - 3*t[79] + 3*t[80] + t[81]/4 - (9*t[82])/4 - 
       (3*t[83])/2 + 4*t[84] - (129*t[85])/8 - 12*t[86] - (35*t[87])/8 + 
       (13*t[88])/16 - (217*t[89])/16 - 3*t[95] - t[96] + t[97] - 36*t[98] + 
       70*t[99] - 98*t[100]) + G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      ((-27*t[2])/4 - (33*t[3])/2 + (89*t[4])/4 - (119*t[5])/8 + (9*t[6])/2 + 
       t[7] + (47*t[8])/2 + (153*t[9])/8 + (49*t[10])/8 + (43*t[11])/2 + 
       (19*t[12])/4 + (889*t[13])/72 + (733*t[14])/48 - (335*t[15])/48 - 
       t[24] + 3*t[28] - t[31] + 3*t[33] + t[35] + 3*t[37] - 2*t[43] - 
       2*t[44] + t[45] - t[47] + (9*t[48])/4 + (19*t[49])/8 - (9*t[50])/4 - 
       (19*t[51])/16 + (9*t[52])/4 - (19*t[53])/8 + (3*t[54])/2 + 
       (115*t[60])/4 + (183*t[61])/4 - (141*t[62])/8 - (151*t[63])/8 - 
       (61*t[64])/8 - (47*t[65])/12 - (517*t[66])/12 - t[73] + 9*t[75] + 
       t[76] - t[79] - 14*t[80] + t[81] - 3*t[82] - 14*t[83] + (27*t[84])/4 + 
       (3*t[85])/4 + 7*t[86] - (73*t[87])/4 - (73*t[88])/8 + (41*t[89])/8 + 
       6*t[98] - (177*t[100])/2) + G[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (-t[1]/2 - t[2]/4 - (21*t[3])/4 + (73*t[4])/4 - (65*t[5])/8 + 16*t[6] - 
       (19*t[7])/2 + (67*t[8])/2 - (77*t[9])/8 - (11*t[10])/8 + 
       (61*t[11])/4 + (11*t[12])/2 + (163*t[13])/12 + (485*t[14])/48 - 
       (67*t[15])/48 - t[24] + 2*t[28] - t[32] + 2*t[33] + t[35] + t[37] - 
       t[43] - 4*t[44] - 2*t[45] + 9*t[47] + (19*t[48])/2 + (11*t[49])/8 - 
       (19*t[50])/2 - (11*t[51])/16 + (19*t[52])/2 - (11*t[53])/8 + 
       (35*t[54])/4 + t[59]/2 + (59*t[60])/2 + 51*t[61] + (35*t[62])/8 - 
       (205*t[63])/8 - 11*t[64] + (55*t[65])/12 - (94*t[66])/3 + t[69] + 
       2*t[73] + t[76] + t[77] + t[78] + (31*t[79])/2 - 6*t[80] + 2*t[81] - 
       t[82] - (47*t[83])/2 + (35*t[84])/4 + t[85]/4 - (15*t[86])/2 - 
       (71*t[87])/4 - (71*t[88])/8 + (15*t[89])/2 + 6*t[98] - 
       (177*t[100])/2) + HPL[{0, 1}, 1 - u]*K1[u, v, w]*
      ((-9*t[1])/4 + 2*t[2] - 15*t[3] + (145*t[4])/8 - (75*t[5])/8 + 
       (57*t[6])/8 + (3*t[7])/16 + (17*t[8])/16 + (105*t[9])/16 + 
       (11*t[10])/2 + (285*t[11])/16 - (9*t[12])/16 + (2201*t[13])/288 + 
       (715*t[14])/32 + (725*t[15])/96 - t[18] - t[20] - t[21] + t[22] + 
       t[23] - t[24] + t[25] - t[26]/2 - t[27] + t[28] + t[29] + t[33] - 
       t[34] - 2*t[35] + t[37] - t[38] - t[41]/4 - t[42]/4 - t[43]/16 - 
       (3*t[44])/2 + (17*t[45])/8 - (3*t[46])/4 - (21*t[47])/4 - 
       (43*t[48])/16 + (17*t[49])/16 + (69*t[50])/16 - (7*t[51])/32 - 
       (53*t[52])/16 - (17*t[53])/16 - (7*t[54])/16 + t[59] + 17*t[60] + 
       (213*t[61])/4 + (95*t[62])/8 + (421*t[63])/8 - (159*t[64])/8 - 
       (115*t[65])/3 - 27*t[66] + t[69] + 2*t[70] - 2*t[71] + t[72] - t[73] + 
       t[74] + 3*t[75] - (9*t[76])/2 - t[77] + (13*t[78])/2 + 2*t[79] - 
       14*t[80] + 4*t[81] - 6*t[82] - (9*t[83])/2 + (23*t[84])/4 - 
       (11*t[85])/2 - (77*t[86])/2 - (21*t[87])/2 - (21*t[88])/4 - 
       (61*t[89])/4 - 22*t[98] + 50*t[99] - 86*t[100]) + 
     HPL[{0, 1}, 1 - v]*K1[w, u, v]*(t[1]/4 - t[2]/8 - (295*t[3])/16 + 
       (77*t[4])/8 - (171*t[5])/16 + (177*t[6])/8 - (53*t[7])/8 + 
       (299*t[8])/8 - (35*t[9])/16 - (57*t[10])/16 + (147*t[11])/8 + 
       (21*t[12])/8 + (1147*t[13])/144 + (2959*t[14])/96 + (1495*t[15])/144 + 
       t[20] - t[22] - t[27] - (3*t[29])/4 - (3*t[30])/2 + (15*t[32])/4 + 
       t[33]/2 - t[34]/2 - (5*t[37])/2 - t[40] - (3*t[43])/4 - (29*t[44])/8 + 
       (5*t[45])/2 - t[46]/2 - 4*t[47] + (27*t[48])/4 - (31*t[49])/16 - 
       (11*t[50])/4 + (35*t[51])/32 + (17*t[52])/4 + (31*t[53])/16 + 
       12*t[54] + t[59]/4 + (291*t[60])/8 + (343*t[61])/4 - (125*t[62])/8 + 
       (89*t[63])/8 - (139*t[64])/8 - (53*t[65])/8 - (793*t[66])/24 + t[70] - 
       t[71] + 3*t[72] - 2*t[73] + t[74]/2 + 5*t[75] - 5*t[76] - 
       (3*t[77])/2 + 8*t[78] - 2*t[79] + t[80] + (21*t[81])/4 - 
       (33*t[82])/4 - (7*t[83])/2 + (93*t[84])/8 - (15*t[85])/4 - 22*t[86] - 
       11*t[87] - t[88] - (81*t[89])/16 - t[95] - t[96] + t[97]/2 - 
       22*t[98] + 50*t[99] - 86*t[100]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*((-3*t[1])/2 - (25*t[2])/4 - 
       (89*t[3])/8 + (9*t[4])/4 - (49*t[5])/16 - 11*t[6] - (67*t[7])/8 - 
       (131*t[8])/8 + (73*t[9])/16 + (21*t[10])/2 + (63*t[11])/4 - 
       (5*t[12])/16 + (195*t[13])/16 + (547*t[14])/24 + (1249*t[15])/96 + 
       4*t[25] - 3*t[26] - t[29] + 2*t[30] + 3*t[31] - t[32] + t[33] + 
       t[34] + 2*t[35] - 4*t[36] - 4*t[37] - 2*t[38] + 2*t[40] - t[41]/2 + 
       t[42]/2 + (17*t[43])/4 - t[44] + (13*t[45])/4 + (5*t[46])/2 - 
       (15*t[47])/2 - (51*t[48])/8 - (13*t[49])/8 - (23*t[50])/8 + 
       (9*t[51])/16 - (17*t[52])/8 + (9*t[53])/8 - (17*t[54])/8 - t[58] + 
       (3*t[59])/2 + (65*t[60])/2 + (231*t[61])/4 + (13*t[62])/2 + 24*t[63] - 
       45*t[64] - (323*t[65])/12 - (533*t[66])/12 + 2*t[72] - t[73] + t[74] + 
       13*t[75] + 4*t[76] + t[77] + 5*t[78] - 8*t[79] + 15*t[80] + 5*t[81] - 
       t[82] + 4*t[83] + (7*t[84])/4 + t[85]/4 - (67*t[86])/2 - 
       (125*t[87])/4 - (125*t[88])/8 - (59*t[89])/4 + t[97] + 20*t[98] - 
       12*t[99] - 58*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      Phi6[u, v, w]*(2*t[1] + (5*t[2])/4 + (5*t[3])/4 + (29*t[4])/4 + 
       (147*t[5])/8 - (51*t[6])/16 + 24*t[7] - (47*t[8])/4 + (19*t[9])/4 - 
       (17*t[10])/8 + (375*t[11])/16 + 4*t[12] + (131*t[13])/24 + 
       (509*t[14])/48 + (17*t[15])/72 - 3*t[28] + t[32] - t[33] - 2*t[34] + 
       t[35] + 2*t[36] + t[38] + t[39] + t[40]/2 + t[41] - t[42] - t[43]/2 + 
       (5*t[44])/2 - (3*t[46])/2 + t[47] - (29*t[48])/16 + (63*t[49])/8 + 
       (23*t[50])/16 - (17*t[51])/8 - (55*t[52])/16 - (31*t[53])/8 - 
       (155*t[54])/16 + t[59] - (55*t[60])/8 + (483*t[61])/8 - 
       (239*t[62])/16 + (167*t[63])/16 - (141*t[64])/16 - (829*t[65])/24 - 
       (335*t[66])/24 + t[73] - t[74] - t[75] + 7*t[76] - t[77] - 11*t[78] + 
       2*t[79] - 4*t[81] + 6*t[82] + 5*t[83] - (107*t[84])/8 - 
       (103*t[85])/8 - 6*t[86] - (65*t[87])/8 - (65*t[88])/16 - 
       (329*t[89])/16 + 6*t[96] + 4*t[97] + 20*t[98] - 12*t[99] - 
       58*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      (-t[1]/2 - 9*t[2] + (7*t[3])/8 - t[4] + (149*t[5])/16 + t[6]/8 + 
       (113*t[7])/8 - (225*t[8])/8 + (7*t[9])/16 - (11*t[10])/8 + 
       (35*t[11])/8 - (97*t[12])/16 + (145*t[13])/144 - (263*t[14])/48 + 
       (47*t[15])/96 + 3*t[27] + 2*t[28] + t[29]/4 - 2*t[30] - 4*t[35] + 
       t[39]/2 - t[40]/2 - (3*t[43])/4 + 2*t[44] - t[45]/2 - t[46] + t[47] - 
       3*t[48] - (11*t[49])/4 + (7*t[50])/2 + (11*t[51])/8 - (7*t[52])/2 + 
       (11*t[53])/4 - (11*t[54])/2 - t[59] - (19*t[60])/4 - t[61]/4 + 
       (37*t[62])/8 + (35*t[63])/8 - (293*t[64])/8 - (173*t[65])/12 + 
       (221*t[66])/12 - 3*t[73] - 2*t[75] + 4*t[76] + t[77] - 10*t[78] + 
       8*t[79] - 4*t[81] + 15*t[82] - t[83] - (5*t[84])/2 - 28*t[86] + 
       7*t[87] + (7*t[88])/2 + (25*t[89])/8 + 48*t[98] - 68*t[99] - 
       54*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      (-t[1]/2 - 6*t[2] - (37*t[3])/8 - (7*t[5])/16 + (15*t[6])/8 + 
       (115*t[7])/8 - (3*t[8])/8 + (159*t[9])/16 - (99*t[10])/8 + 
       (125*t[11])/8 - (25*t[12])/16 + (869*t[13])/144 + (163*t[14])/48 - 
       (65*t[15])/96 - 2*t[30] - 2*t[31] + t[43]/2 - 4*t[45] - t[46] + 
       8*t[47] + (3*t[48])/4 - t[49] + (3*t[50])/4 + (5*t[51])/4 - 
       (3*t[52])/4 + t[53] - (3*t[54])/4 - t[59] - (7*t[60])/4 + 
       (79*t[61])/4 - (237*t[62])/8 - (163*t[63])/8 + (129*t[64])/8 - 
       (9*t[65])/4 - (193*t[66])/12 - 4*t[73] + 4*t[76] - t[77] - 8*t[78] + 
       4*t[79] + 14*t[80] - 2*t[81] - t[82] + 6*t[83] + t[85] + 20*t[86] + 
       9*t[87] + (9*t[88])/2 + (77*t[89])/8 + 48*t[98] - 68*t[99] - 
       54*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (-t[1] - (3*t[2])/4 - (125*t[3])/8 + (25*t[4])/4 - (163*t[5])/8 + 
       (17*t[6])/16 + (67*t[7])/4 + (29*t[8])/4 + (145*t[9])/4 - 
       (15*t[10])/8 + (517*t[11])/16 + (71*t[12])/4 + (1823*t[13])/144 + 
       (403*t[14])/12 + (799*t[15])/144 + 2*t[19] - 2*t[20] - 2*t[21] + 
       2*t[23] - 4*t[24] - 2*t[28] - (3*t[29])/2 - 2*t[30] - t[32] - t[33] + 
       6*t[34] + 2*t[35] - t[36] - 2*t[37] - 2*t[38] + 3*t[39] - 6*t[40] - 
       t[43]/4 - t[44]/4 - (31*t[45])/4 + t[46] + (15*t[47])/2 - 
       (175*t[48])/16 + t[49]/8 + (101*t[50])/16 - (25*t[51])/16 - 
       (5*t[52])/16 - t[53]/8 - t[54]/16 - 2*t[57] + (3*t[59])/2 + 
       (143*t[60])/8 + (399*t[61])/8 - (169*t[62])/16 + (473*t[63])/16 - 
       (299*t[64])/16 - (385*t[65])/24 - (1051*t[66])/24 + 2*t[72] + 
       4*t[75] + 5*t[76] + 2*t[78] + 2*t[79] + 4*t[80] + 5*t[81] + t[82] + 
       15*t[83] + (27*t[84])/8 - (13*t[85])/8 - (17*t[86])/2 - 
       (163*t[87])/8 - (163*t[88])/16 - (375*t[89])/16 + t[97] + 20*t[98] - 
       12*t[99] - 52*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      Phi6[u, v, w]*(-t[1] + (11*t[2])/2 - (29*t[3])/4 + (37*t[4])/4 + 
       (57*t[5])/16 + (137*t[6])/8 + (53*t[7])/4 + (45*t[8])/4 + 
       (377*t[9])/16 - (123*t[10])/8 + (85*t[11])/4 + (93*t[12])/16 + 
       (331*t[13])/24 + (193*t[14])/6 + (2089*t[15])/288 + 4*t[20] + 
       4*t[21] - 6*t[22] - 4*t[23] + 2*t[24] - 2*t[27] + 6*t[28] + 2*t[29] - 
       t[30]/2 + 2*t[31] - t[32] + 5*t[33] + 6*t[34] - 6*t[35] + 2*t[36] - 
       2*t[38] + 2*t[39] - 5*t[40] + 2*t[41] - 2*t[42] + (15*t[43])/8 - 
       (5*t[44])/2 - (21*t[45])/2 - t[46]/2 + 5*t[47] + (9*t[48])/8 + 
       (13*t[49])/8 + (13*t[50])/8 - (23*t[51])/16 + (35*t[52])/8 - 
       (13*t[53])/8 + (39*t[54])/8 - 2*t[57] + (3*t[59])/2 + 36*t[60] + 
       (267*t[61])/4 + (143*t[62])/8 + (385*t[63])/8 - (85*t[64])/2 - 
       (181*t[65])/12 - (95*t[66])/4 - t[73] + 13*t[75] + 4*t[76] + 5*t[78] - 
       8*t[79] + 19*t[80] + (5*t[81])/2 + (3*t[82])/2 - 5*t[83] + 
       (9*t[84])/2 - (7*t[85])/4 - (71*t[86])/2 - (135*t[87])/4 - 
       (135*t[88])/8 - (63*t[89])/4 + t[97] + 20*t[98] - 12*t[99] - 
       52*t[100]) + HPL[{0, 1, 1, 1}, 1 - v]*Phi6[u, v, w]*
      ((3*t[1])/2 - (9*t[2])/2 + (5*t[3])/4 - (9*t[4])/4 + (73*t[5])/8 - 
       (59*t[6])/8 - (9*t[7])/2 + (25*t[8])/2 - (93*t[9])/8 + (175*t[10])/8 + 
       (27*t[11])/8 + 5*t[12] - (62*t[13])/9 - (91*t[14])/48 + 
       (373*t[15])/48 - 8*t[31] - 16*t[35] - 3*t[37] + 2*t[43] + 
       (65*t[48])/8 - (63*t[49])/8 + t[50]/8 + (63*t[51])/16 - t[52]/8 + 
       (63*t[53])/8 + (101*t[54])/8 - (73*t[60])/4 - (37*t[61])/4 - 
       (107*t[62])/8 - (253*t[63])/8 + (721*t[64])/8 + (31*t[65])/6 + 
       (57*t[66])/2 - 3*t[69] + 4*t[75] + 23*t[79] + 28*t[80] + 
       (11*t[81])/2 + t[82]/2 - 22*t[83] + (5*t[84])/2 - (75*t[85])/4 - 
       9*t[86] + (55*t[87])/4 + (55*t[88])/8 - (45*t[89])/8 - 12*t[99] - 
       49*t[100]) + HPL[{0, 1, 1, 1}, 1 - u]*Phi6[u, v, w]*
      (3*t[3] + (9*t[4])/4 - (5*t[5])/2 - t[6]/2 + (15*t[7])/2 - 
       (37*t[8])/2 + (13*t[9])/2 - (55*t[10])/8 + (43*t[11])/4 + 
       (29*t[12])/8 + (57*t[13])/8 - (749*t[14])/48 - (193*t[15])/24 - 
       4*t[28] + 12*t[29] - 12*t[30] + 7*t[44] + (19*t[48])/4 - (9*t[49])/8 + 
       (5*t[50])/4 + (9*t[51])/16 - (5*t[52])/4 + (9*t[53])/8 - 2*t[54] + 
       23*t[60] + 5*t[61] - (191*t[62])/8 - (297*t[63])/8 + 17*t[64] - 
       (17*t[65])/6 - (271*t[66])/6 + 12*t[73] - 16*t[75] + 5*t[79] + 
       (3*t[81])/2 - (3*t[82])/2 - 9*t[83] + (33*t[84])/4 + 9*t[85] + 
       17*t[86] - (37*t[87])/2 - (37*t[88])/4 - 4*t[89] - 12*t[99] - 
       49*t[100]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      (t[1]/4 + (39*t[2])/8 - (125*t[3])/16 + (23*t[4])/4 - (37*t[5])/4 + 
       (237*t[6])/32 + (49*t[7])/16 + (263*t[8])/16 + (53*t[9])/8 - 
       (25*t[10])/16 + (265*t[11])/32 + (17*t[12])/8 + (1279*t[13])/288 + 
       (461*t[14])/32 + (721*t[15])/288 + 2*t[22] - 2*t[27] - t[28] + 
       (11*t[29])/4 + (3*t[30])/2 + (3*t[32])/2 - (3*t[33])/2 + t[34] + 
       2*t[35] - (3*t[36])/2 - t[39]/2 + t[40]/2 - t[41]/2 + t[42]/2 - 
       (9*t[43])/16 + t[44]/8 + t[45] - t[46]/4 - t[47]/2 - (15*t[48])/32 + 
       (9*t[49])/4 + (77*t[50])/32 - (13*t[51])/16 - (77*t[52])/32 - 
       (9*t[53])/4 - (69*t[54])/32 + t[57] - t[59]/2 + (343*t[60])/16 + 
       (453*t[61])/16 - (225*t[62])/32 + (105*t[63])/32 - (151*t[64])/32 - 
       (271*t[65])/48 - (411*t[66])/16 + t[72] + t[73] + 2*t[75] + t[76] + 
       t[77]/2 + 3*t[78] - 4*t[79] - (5*t[80])/2 + (7*t[81])/2 - 11*t[82] - 
       (17*t[83])/2 + (77*t[84])/16 + (73*t[85])/16 + (43*t[86])/4 - 
       (257*t[87])/16 - (257*t[88])/32 - (243*t[89])/32 + 14*t[98] + 
       10*t[99] - 49*t[100]) + H1[v, w, u]*HPL[{0, 1}, 1 - w]*
      (t[1]/4 - (19*t[2])/4 - 8*t[3] + (5*t[4])/2 - (7*t[5])/8 + 
       (19*t[6])/4 - t[7] + t[8] - (35*t[9])/8 - t[10]/2 + (31*t[11])/4 + 
       (29*t[12])/8 + (145*t[13])/18 + (73*t[14])/24 - (51*t[15])/16 - 
       (3*t[18])/2 - t[20] + t[22] - t[24] + t[28]/2 - t[30] - t[31] - 
       t[32]/2 + t[33]/2 - (3*t[35])/2 - t[37]/2 + t[47]/2 + (5*t[48])/4 - 
       2*t[49] - (5*t[50])/4 + t[51] + (5*t[52])/4 + 2*t[53] + (21*t[54])/4 - 
       (3*t[59])/2 + (9*t[60])/4 + (121*t[61])/4 - (49*t[62])/8 + 
       (109*t[63])/8 + (97*t[64])/8 + (17*t[65])/2 - (74*t[66])/3 - t[69]/2 + 
       (3*t[70])/2 - (3*t[71])/2 + t[72] - t[74] + t[75] + t[77]/2 + t[78] + 
       t[79] + 3*t[80] - t[82]/2 - (39*t[83])/4 + (9*t[84])/2 - 
       (13*t[85])/4 - 9*t[86] - (15*t[87])/4 - (15*t[88])/8 - (9*t[89])/8 + 
       2*t[99] - 47*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*((-7*t[2])/4 - 10*t[3] + (27*t[4])/2 - 
       (53*t[5])/4 + (7*t[6])/8 + (41*t[7])/4 + (3*t[8])/2 + (71*t[9])/4 - 
       (5*t[10])/2 + (203*t[11])/8 + (21*t[12])/4 + (893*t[13])/72 + 
       (101*t[14])/6 + (35*t[15])/24 + t[23] - 2*t[24] - 2*t[28] + t[30] - 
       t[32] - t[33] + t[34] - t[39] + t[40] - t[41]/2 - t[43]/2 - 2*t[45] + 
       3*t[47] - (37*t[48])/8 + (3*t[49])/4 + (31*t[50])/8 - (3*t[51])/8 - 
       (39*t[52])/8 - (3*t[53])/4 - (31*t[54])/8 + (3*t[59])/4 + 
       (169*t[60])/8 + (303*t[61])/8 - (151*t[62])/16 + (147*t[63])/16 - 
       (175*t[64])/16 - (15*t[65])/4 - (88*t[66])/3 + 2*t[73] - t[77] + 
       (7*t[78])/2 + t[79] - 2*t[80] + 3*t[81] - 3*t[82] - (3*t[83])/2 + 
       (23*t[84])/4 + 5*t[86] - 14*t[87] - 7*t[88] - (111*t[89])/16 - 
       8*t[98] + 16*t[99] - 47*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*(t[1]/4 + (13*t[2])/4 - 
       (125*t[3])/16 + (65*t[4])/4 - (157*t[5])/32 + (557*t[6])/32 - 
       (123*t[7])/16 + (619*t[8])/16 - (125*t[9])/32 + (9*t[10])/16 + 
       (675*t[11])/32 - (79*t[12])/32 + (431*t[13])/32 + (1427*t[14])/48 + 
       (3925*t[15])/576 + t[20] + t[21] - t[23] + 2*t[24] - 2*t[27] + 
       2*t[28] - t[29]/2 + (5*t[30])/2 + t[31] + 2*t[33] - t[35] + 
       (3*t[39])/4 - (3*t[40])/4 + t[41]/2 - t[42] + (3*t[43])/8 - 
       (3*t[44])/2 + (5*t[45])/4 - (13*t[47])/2 + (149*t[48])/32 + 
       (9*t[49])/4 - (131*t[50])/32 - (9*t[51])/8 + (163*t[52])/32 - 
       (9*t[53])/4 + (207*t[54])/32 + t[59] + (627*t[60])/16 + 
       (975*t[61])/16 - (49*t[62])/32 + (113*t[63])/32 - (961*t[64])/32 - 
       (317*t[65])/48 - (1763*t[66])/48 + 9*t[75] + t[77]/2 + (15*t[78])/2 - 
       13*t[79] + 6*t[81] - (25*t[82])/2 - 14*t[83] + (145*t[84])/16 - 
       (7*t[85])/16 - 11*t[86] - (383*t[87])/16 - (383*t[88])/32 - 
       (115*t[89])/32 - 8*t[98] + 16*t[99] - 47*t[100]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      ((-31*t[2])/4 - (283*t[3])/16 + (47*t[4])/4 - (45*t[5])/2 - 
       (15*t[6])/4 + (171*t[7])/8 - (67*t[8])/8 + (113*t[9])/4 + 
       (15*t[10])/8 + (101*t[11])/4 + (21*t[12])/4 + (137*t[13])/16 + 
       (949*t[14])/48 - (841*t[15])/288 + t[20] - t[22] + t[23] - 2*t[24] - 
       4*t[28] + t[29]/4 - t[30]/2 + t[32]/4 - 2*t[33] + 2*t[34] + 3*t[35] + 
       t[37] - t[39] + t[40] - t[42]/2 - t[43]/2 + (15*t[44])/8 - 2*t[45] + 
       4*t[47] - (65*t[48])/8 + t[49]/8 + (59*t[50])/8 - t[51]/16 - 
       (67*t[52])/8 - t[53]/8 - (17*t[54])/4 + (105*t[60])/4 + 
       (351*t[61])/8 - (503*t[62])/16 - (21*t[63])/16 + (185*t[64])/16 - 
       (275*t[65])/24 - (961*t[66])/24 + t[69] + t[73] - 2*t[75] - t[77] + 
       (7*t[78])/2 + 2*t[79] - 3*t[80] + (3*t[81])/2 - 2*t[82] + 
       (17*t[83])/2 + (63*t[84])/8 + (35*t[85])/8 + 12*t[86] - (93*t[87])/8 - 
       (93*t[88])/16 - (5*t[89])/2 - 2*t[98] - 2*t[99] - 46*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*(t[1] - (33*t[2])/4 - 
       (11*t[3])/2 + (41*t[4])/4 + (113*t[5])/8 + (281*t[6])/16 - 
       (169*t[7])/16 + (365*t[8])/16 - (375*t[9])/16 + (3*t[10])/16 + 
       (151*t[11])/8 - 9*t[12] + (739*t[13])/96 + (607*t[14])/48 + 
       (1091*t[15])/96 - t[19] + t[20] + 2*t[24] + 3*t[28] + t[30] + 
       2*t[33] - 4*t[35] + t[37] + t[39] - t[40] - t[42]/2 + (27*t[43])/16 - 
       t[44] + (21*t[45])/8 + t[46] - (49*t[47])/4 + (13*t[48])/2 - 
       (9*t[49])/8 - (7*t[50])/2 - (3*t[51])/16 + (9*t[52])/2 + (9*t[53])/8 + 
       (17*t[54])/4 + t[59]/2 + 25*t[60] + (147*t[61])/4 + (71*t[62])/2 + 
       (15*t[63])/2 - (69*t[64])/8 - (151*t[65])/12 + (19*t[66])/2 - t[73] + 
       2*t[74] + 10*t[75] + t[77] + (11*t[78])/2 - 5*t[79] - 2*t[80] + 
       2*t[81] + (3*t[82])/2 - (43*t[83])/2 + (13*t[84])/2 - (5*t[85])/4 - 
       (107*t[86])/2 - (57*t[87])/4 - (57*t[88])/8 + 2*t[89] - 2*t[98] - 
       2*t[99] - 46*t[100]) + HPL[{0, 0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (t[1] - (51*t[2])/2 - (3*t[3])/2 + (21*t[4])/4 + (41*t[5])/4 + 
       (63*t[6])/8 - (203*t[7])/8 - (105*t[8])/8 - (287*t[9])/8 + 8*t[10] - 
       (67*t[11])/4 + (13*t[12])/8 - (1615*t[13])/144 - (895*t[14])/48 - 
       (551*t[15])/48 + t[18] + 3*t[19] - 3*t[21] + 3*t[23] - t[24] - 
       7*t[31] - 4*t[35] + 4*t[37] - t[41] + t[42] + (5*t[43])/8 + t[44] - 
       (21*t[45])/4 - t[46]/2 + (27*t[47])/2 + (21*t[48])/2 - (33*t[49])/8 - 
       t[50] + (39*t[51])/16 + t[52] + (33*t[53])/8 + (53*t[54])/4 + t[59] - 
       (39*t[60])/4 + (23*t[61])/4 + (371*t[62])/8 + (309*t[63])/8 + 
       (669*t[64])/8 - (59*t[65])/3 + (185*t[66])/6 + 7*t[69] - t[70] + 
       t[71] - t[74] + 10*t[75] + t[78] + 30*t[79] + 2*t[80] + (3*t[81])/2 + 
       (27*t[82])/2 - 31*t[83] + (9*t[84])/2 - (71*t[85])/4 - 61*t[86] + 
       (23*t[87])/4 + (23*t[88])/8 - (31*t[89])/8 - 26*t[99] - 38*t[100]) + 
     HPL[{0, 0, 0, 1}, 1 - v]*Phi6[u, v, w]*(-14*t[2] - (185*t[3])/8 - 
       (33*t[4])/4 - 10*t[5] - (9*t[6])/2 - (7*t[7])/4 - (15*t[8])/4 - 
       (7*t[9])/2 + (55*t[10])/8 + t[11]/4 + (57*t[12])/8 + (31*t[13])/36 + 
       (337*t[14])/48 - (1849*t[15])/144 + t[18] + 5*t[20] - 5*t[22] - 
       2*t[28] - (3*t[29])/2 - 7*t[30] - t[32]/2 + 2*t[33] + 6*t[34] + 
       5*t[35] + 3*t[37] + (3*t[41])/2 - (3*t[42])/2 + t[43]/2 - 
       (11*t[44])/4 + 5*t[47] - 3*t[48] - (19*t[49])/8 - (5*t[50])/2 + 
       (19*t[51])/16 + (5*t[52])/2 + (19*t[53])/8 + (15*t[54])/2 - 2*t[59] + 
       (147*t[60])/4 + 30*t[61] - 33*t[62] - (21*t[63])/2 + (291*t[64])/4 - 
       (23*t[65])/6 - 60*t[66] + 3*t[69] - t[70] + t[71] + 4*t[73] + 
       9*t[75] - t[77] + t[78] + 5*t[79] - (7*t[83])/2 + 11*t[84] + 6*t[85] + 
       15*t[86] - 9*t[87] - (5*t[88])/2 + (21*t[89])/8 + 2*t[95] - 26*t[99] - 
       38*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*((-3*t[1])/4 - (5*t[2])/4 - (3*t[3])/2 + (89*t[4])/8 - 
       (19*t[5])/8 + (83*t[6])/8 - (257*t[7])/16 + (53*t[8])/16 - 
       (187*t[9])/16 - (3*t[10])/2 + (73*t[11])/16 - (121*t[12])/16 + 
       (941*t[13])/288 + (557*t[14])/96 + (257*t[15])/96 - t[18] - t[21] + 
       t[23] + t[25] - t[26]/2 - t[27] + t[28] + t[29] + t[30] + t[33] - 
       t[34] - t[36] - 2*t[37] - t[38] - (3*t[41])/4 + t[42]/4 + 
       (31*t[43])/16 - t[44]/2 + (17*t[45])/8 + (5*t[46])/4 - (33*t[47])/4 + 
       (69*t[48])/16 + (13*t[49])/16 - (51*t[50])/16 - (51*t[51])/32 + 
       (67*t[52])/16 - (13*t[53])/16 + (9*t[54])/16 + t[59]/2 + 19*t[60] + 
       (121*t[61])/4 + (235*t[62])/8 + (137*t[63])/8 - (251*t[64])/8 - 
       21*t[65] + (19*t[66])/6 + 2*t[70] - 2*t[71] - t[72] - t[73] + t[74] + 
       6*t[75] - (5*t[76])/2 + t[77] + (11*t[78])/2 - 7*t[79] - 3*t[80] - 
       t[81]/2 - t[82]/2 - (33*t[83])/2 + (17*t[84])/4 - (3*t[85])/2 - 
       (75*t[86])/2 - (25*t[87])/2 - (25*t[88])/4 - 5*t[89] - 14*t[98] + 
       10*t[99] - 35*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*(t[1]/4 + (15*t[2])/8 - 
       (163*t[3])/16 + (17*t[4])/8 + (47*t[5])/16 - (3*t[6])/4 + 
       (21*t[7])/8 + (45*t[8])/8 + (147*t[9])/16 + (67*t[10])/16 + 
       (19*t[11])/2 + (27*t[12])/4 + (611*t[13])/144 + (145*t[14])/32 + 
       (41*t[15])/18 - t[24] + 2*t[27] - t[28] - (3*t[29])/4 - t[30]/2 + 
       (11*t[32])/4 - t[33]/2 - t[34]/2 + t[37]/2 - t[40] - t[43]/4 + 
       (3*t[44])/8 + t[45]/2 - 2*t[47] - t[48]/8 - (15*t[49])/16 + 
       (35*t[50])/8 + (15*t[51])/32 - (23*t[52])/8 + (15*t[53])/16 - 
       (17*t[54])/8 - t[59]/4 + (91*t[60])/8 + (69*t[61])/4 - (119*t[62])/8 - 
       (169*t[63])/8 + (17*t[64])/8 + (31*t[65])/8 - (83*t[66])/8 + t[70] - 
       t[71] + 2*t[72] + 2*t[73] + (3*t[74])/2 - 5*t[75] - t[76] - t[77]/2 + 
       3*t[78] + t[79]/2 + 2*t[80] - (9*t[81])/4 + (17*t[82])/4 + 
       (5*t[83])/2 + (25*t[84])/8 - (5*t[85])/4 + (23*t[86])/2 - 
       (7*t[87])/2 + (11*t[88])/4 - (57*t[89])/16 - t[95] - t[96] + t[97]/2 - 
       14*t[98] + 10*t[99] - 35*t[100]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - u]*
      (-t[1] - (3*t[2])/2 - (181*t[3])/8 + 13*t[4] - (87*t[5])/4 + 
       (289*t[6])/16 + 13*t[7] + (97*t[8])/4 + (319*t[9])/8 + (33*t[10])/2 + 
       (211*t[11])/16 + (23*t[12])/2 + (335*t[13])/36 + (755*t[14])/16 + 
       (575*t[15])/72 + 2*t[19] - 2*t[20] - 2*t[21] + 2*t[23] - 4*t[24] - 
       4*t[28] + t[29]/2 - t[30] + 2*t[31] - 2*t[32] + 6*t[34] + 4*t[35] - 
       2*t[36] - 2*t[37] - 2*t[38] + 2*t[39] - 5*t[40] - (21*t[43])/4 - 
       t[44]/4 - 3*t[45] + 5*t[47] - (121*t[48])/16 + (19*t[49])/4 + 
       (91*t[50])/16 - (23*t[51])/8 + (5*t[52])/16 - (19*t[53])/4 + 
       (5*t[54])/16 + (3*t[59])/2 + (279*t[60])/8 + (371*t[61])/8 - 
       (71*t[62])/16 + (191*t[63])/16 - (773*t[64])/16 - (155*t[65])/8 - 
       (121*t[66])/8 + 2*t[72] + 2*t[73] + 2*t[75] + t[76] - 2*t[77] + 
       10*t[78] - 2*t[79] - 14*t[80] + 5*t[81] - 8*t[82] + 11*t[83] + 
       (31*t[84])/8 - (41*t[85])/8 + 3*t[86] - (223*t[87])/8 - 
       (223*t[88])/16 - (367*t[89])/16 + t[97] - 28*t[98] + 48*t[99] - 
       34*t[100]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - v]*
      (-t[1] + (13*t[2])/4 - (163*t[3])/8 + (23*t[4])/2 - (97*t[5])/16 + 
       (107*t[6])/4 + 8*t[7] + (117*t[8])/4 + (379*t[9])/16 - (33*t[10])/2 + 
       (71*t[11])/8 + (185*t[12])/16 + (739*t[13])/72 + (1549*t[14])/48 + 
       (2581*t[15])/288 + 4*t[20] + 4*t[21] - 6*t[22] - 4*t[23] + 2*t[24] - 
       2*t[27] + 4*t[28] - (11*t[29])/4 - t[30] + 4*t[31] - t[32] + 5*t[33] + 
       12*t[34] - 2*t[35] - t[36] - 2*t[38] - (9*t[39])/2 + (3*t[40])/2 + 
       2*t[41] - 2*t[42] + (15*t[43])/8 - 7*t[44] - (17*t[45])/2 - t[46]/2 + 
       t[47] + (7*t[48])/2 + (11*t[49])/4 + 5*t[50] - (5*t[51])/4 + t[52] - 
       (11*t[53])/4 + (33*t[54])/2 - 2*t[57] + (3*t[59])/2 + (71*t[60])/2 + 
       (215*t[61])/4 + (305*t[62])/8 + (311*t[63])/8 - (387*t[64])/8 - 
       (215*t[65])/12 + (29*t[66])/12 - 3*t[73] + 16*t[75] - 3*t[76] - 
       2*t[77] + 16*t[78] - 6*t[79] + 11*t[80] + 3*t[81] + 5*t[82] + t[83] + 
       t[84]/2 + t[85] - (87*t[86])/2 - 17*t[87] - (17*t[88])/2 - 
       (53*t[89])/4 + t[97] - 28*t[98] + 48*t[99] - 34*t[100]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*(-t[1]/2 + 4*t[2] - 
       6*t[3] + (43*t[4])/4 + 5*t[5] + (93*t[6])/16 - (5*t[7])/4 + 
       (9*t[8])/4 + (17*t[9])/4 - (55*t[10])/8 + (153*t[11])/16 - 
       (9*t[12])/4 + (317*t[13])/36 + (511*t[14])/48 + (107*t[15])/24 + 
       t[25] - t[26]/2 - t[27]/2 + t[28] - t[32] + t[33] - t[35]/2 - 
       t[38]/2 - t[43]/2 - (3*t[46])/4 - 2*t[47] + (5*t[48])/16 + 
       (27*t[49])/8 + (5*t[50])/16 - (7*t[51])/8 - (5*t[52])/16 - 
       (27*t[53])/8 - (57*t[54])/16 + t[59]/4 + (57*t[60])/4 + 24*t[61] + 
       (65*t[62])/8 + (63*t[63])/8 - (257*t[64])/8 - (89*t[65])/8 - 
       (83*t[66])/3 + t[73]/2 - t[74] + t[75]/2 + t[76]/2 + t[77] - 
       (23*t[79])/4 - (3*t[80])/2 + (11*t[81])/4 - (11*t[82])/4 - 3*t[83] + 
       (5*t[84])/2 + (21*t[85])/8 - (59*t[86])/4 - (93*t[87])/8 - 
       (93*t[88])/16 - (35*t[89])/8 + 3*t[98] - (135*t[100])/4) + 
     F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*(t[3]/2 + 6*t[4] - 
       (87*t[5])/16 - t[6] + (31*t[7])/8 - (53*t[8])/8 + (83*t[9])/16 - 
       (23*t[10])/8 + (109*t[11])/8 - (81*t[12])/16 + (335*t[13])/72 + 
       (367*t[14])/48 + (569*t[15])/96 - t[31] + t[35] + t[36]/2 - t[37] - 
       t[44] + t[47] - (11*t[48])/4 + (3*t[49])/2 + (11*t[50])/4 - 
       (3*t[51])/4 - (11*t[52])/4 - (3*t[53])/2 - (23*t[54])/4 + 
       (11*t[60])/2 + (65*t[61])/4 - (29*t[62])/8 + (73*t[63])/8 - 
       (81*t[64])/8 - (91*t[65])/12 - (223*t[66])/12 + t[72]/2 + t[73]/2 - 
       t[74] - (7*t[75])/2 + t[76]/2 - t[77]/2 - t[78] + (11*t[79])/2 + 
       2*t[80] + 2*t[81] - 3*t[82] + 7*t[83] + (3*t[84])/2 + 3*t[85] - 
       (5*t[86])/2 - (11*t[87])/2 - (11*t[88])/4 - (27*t[89])/8 + 3*t[98] - 
       (135*t[100])/4) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (-t[1]/2 - (31*t[2])/4 - (19*t[3])/4 - (23*t[4])/4 + t[5]/2 + 
       (59*t[6])/16 + (41*t[7])/16 + (199*t[8])/16 - (39*t[9])/16 + 
       (177*t[10])/16 + (87*t[11])/8 + (39*t[12])/8 - (89*t[13])/288 + 
       (337*t[14])/48 + (215*t[15])/96 - 2*t[24] - 3*t[31] - 6*t[35] + 
       3*t[37] + (13*t[43])/16 + t[44] + (3*t[45])/8 + (13*t[47])/4 + 
       (9*t[48])/2 + (3*t[49])/8 - t[50]/2 + (5*t[51])/16 + t[52]/2 - 
       (3*t[53])/8 + (11*t[54])/4 + (9*t[60])/2 + (135*t[61])/4 - 
       (131*t[62])/8 + (27*t[63])/8 + (241*t[64])/8 + (9*t[65])/4 - 
       (263*t[66])/12 + 2*t[69] - 3*t[74] + 3*t[75] + 12*t[79] + t[80] + 
       2*t[81] + 4*t[82] - 10*t[83] + (5*t[84])/2 - (9*t[85])/2 - 
       (7*t[86])/2 - t[87]/2 - t[88]/4 - t[89]/4 - 12*t[99] - 33*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-9*t[2])/4 + (31*t[3])/16 - (19*t[4])/4 - (3*t[5])/2 - (31*t[6])/8 - 
       (11*t[7])/8 + (69*t[8])/8 - (31*t[9])/2 - (23*t[10])/8 + 
       (31*t[11])/8 + (13*t[12])/4 - (35*t[13])/48 - (117*t[14])/16 - 
       (599*t[15])/288 - t[28] + (7*t[29])/4 - t[30]/2 - t[32]/4 + 2*t[33] - 
       t[34] + t[35] + t[36] + t[37] + t[41]/2 - t[42]/2 + t[43]/2 + 
       (17*t[44])/8 + t[47] + (3*t[48])/4 - (5*t[49])/8 + t[50]/4 + 
       (5*t[51])/16 - t[52]/4 + (5*t[53])/8 - (7*t[54])/8 - t[59]/2 - 
       (31*t[60])/2 + (111*t[61])/8 - (139*t[62])/16 + (167*t[63])/16 + 
       (533*t[64])/16 + (109*t[65])/8 - (253*t[66])/24 + 2*t[73] - 2*t[74] + 
       t[75] - t[77] - t[78] + 2*t[79] + t[80] - t[81]/2 + t[82]/2 - 
       (25*t[84])/8 - (23*t[85])/8 + 18*t[86] + (89*t[87])/8 + 
       (73*t[88])/16 - (53*t[89])/8 + 2*t[95] - 12*t[99] - 33*t[100]) + 
     HPL[{0, 0, 1, 1}, 1 - v]*Phi6[u, v, w]*(t[1]/2 - (61*t[2])/4 + 
       (213*t[3])/8 - 10*t[4] + (221*t[5])/8 - (307*t[6])/16 + (47*t[7])/8 - 
       (399*t[8])/8 - (239*t[9])/8 + (87*t[10])/8 + (49*t[11])/16 - 
       (133*t[12])/8 - (835*t[13])/144 - (1861*t[14])/48 - (97*t[15])/24 - 
       4*t[20] - 4*t[21] + 6*t[22] + 4*t[23] - 2*t[24] + 4*t[27] - 2*t[28] + 
       (11*t[29])/2 - t[30] - 4*t[31] + t[32] - 5*t[33] - 14*t[34] - 
       2*t[35] + t[36] + 2*t[38] + 5*t[39] - 2*t[40] - 2*t[41] + 2*t[42] - 
       (21*t[43])/8 + (41*t[44])/4 + 8*t[45] - t[46]/2 + (13*t[48])/16 - 
       (17*t[49])/4 - (7*t[50])/16 + (9*t[51])/4 - (89*t[52])/16 + 
       (17*t[53])/4 - (393*t[54])/16 + 2*t[57] - (3*t[59])/2 - 
       (381*t[60])/8 - (247*t[61])/8 - (373*t[62])/16 - (355*t[63])/16 + 
       (37*t[64])/16 + (157*t[65])/24 + (217*t[66])/8 + 2*t[72] - 18*t[75] + 
       7*t[76] + 3*t[77] - 26*t[78] + 18*t[79] - 11*t[80] - 10*t[81] + 
       13*t[82] - 9*t[83] - (11*t[84])/8 + t[85]/8 + (7*t[86])/2 + 
       (159*t[87])/8 + (159*t[88])/16 + (209*t[89])/16 - t[97] + 76*t[98] - 
       120*t[99] - 32*t[100]) + HPL[{0, 0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      (t[1]/2 - (25*t[2])/4 + (101*t[3])/8 - 18*t[4] + (193*t[5])/8 - 
       (267*t[6])/16 - (29*t[7])/8 - (91*t[8])/8 - (295*t[9])/8 - 
       (189*t[10])/8 + (129*t[11])/16 - (85*t[12])/8 - (283*t[13])/144 - 
       (511*t[14])/16 - (299*t[15])/72 - 2*t[19] + 2*t[20] + 2*t[21] - 
       2*t[23] + 4*t[24] + 4*t[28] - (5*t[29])/2 - t[30] - 4*t[31] + t[32] + 
       t[33] - 6*t[34] - 2*t[35] + t[36] + 2*t[37] + 2*t[38] - 3*t[39] + 
       6*t[40] + t[41] - t[42] + (51*t[43])/8 + t[44]/4 - t[45] - t[46]/2 + 
       2*t[47] + (173*t[48])/16 - (13*t[49])/4 - (119*t[50])/16 + 
       (11*t[51])/4 + (23*t[52])/16 + (13*t[53])/4 + (23*t[54])/16 + 
       2*t[57] - (3*t[59])/2 - (325*t[60])/8 - (95*t[61])/8 - 
       (473*t[62])/16 - (447*t[63])/16 + (1133*t[64])/16 + (151*t[65])/8 - 
       (349*t[66])/24 - 2*t[72] - 6*t[73] - 2*t[75] + 3*t[76] + 3*t[77] - 
       18*t[78] + 6*t[79] + 33*t[80] - 7*t[81] + 6*t[82] - 3*t[83] - 
       (31*t[84])/8 + (49*t[85])/8 + (27*t[86])/2 + (311*t[87])/8 + 
       (311*t[88])/16 + (489*t[89])/16 - t[97] + 76*t[98] - 120*t[99] - 
       32*t[100]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*((-3*t[2])/4 + (9*t[4])/2 - (7*t[5])/16 + (5*t[6])/2 + 
       (23*t[7])/8 + (5*t[8])/4 + (19*t[9])/16 - 3*t[10] + (65*t[11])/8 + 
       (13*t[12])/16 + (185*t[13])/48 + (19*t[14])/6 + (53*t[15])/96 + 
       t[28] + t[33] + t[44] + t[48]/8 + (3*t[49])/8 - t[50]/8 - 
       (3*t[51])/16 + t[52]/8 - (3*t[53])/8 - (5*t[54])/8 + 13*t[60] + 
       (111*t[61])/4 - (17*t[62])/8 - (3*t[63])/4 - (187*t[64])/8 - 
       (29*t[65])/24 - (229*t[66])/24 - 2*t[73] - t[74] + 8*t[75] + 3*t[78] - 
       t[79] - t[80] + t[81] - t[82] - 10*t[83] + (27*t[84])/8 - 
       (3*t[85])/2 - 3*t[86] - (27*t[87])/4 - (27*t[88])/8 - (19*t[89])/8 - 
       2*t[98] + 5*t[99] - (61*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*Phi6[u, v, w]*(t[1]/4 + (9*t[2])/8 - (27*t[3])/8 + 
       t[4]/4 - (21*t[5])/16 - t[6]/4 + (69*t[7])/8 + (31*t[8])/8 + 
       (99*t[9])/16 - (33*t[10])/8 + (41*t[11])/4 + (11*t[12])/16 + 
       (373*t[13])/72 + (49*t[14])/24 + (29*t[15])/32 - t[24] + t[35]/2 - 
       t[37]/2 + t[43]/2 - t[45] + t[46]/4 + 3*t[47] - t[48]/2 - t[49]/2 + 
       t[50]/2 + t[51]/16 - t[52]/2 + t[53]/2 - t[54] - t[59] + 
       (49*t[60])/8 + (149*t[61])/8 - (19*t[62])/2 - (135*t[63])/8 + 
       (99*t[64])/16 + (131*t[65])/24 - (131*t[66])/12 - (3*t[69])/2 + 
       t[70] - t[71] + t[73] + t[74]/2 + 2*t[75] + t[76] + 2*t[78] + 
       4*t[79] + 6*t[80] + t[81]/2 - (15*t[83])/4 + (19*t[84])/8 - 
       (3*t[85])/4 + 19*t[86] - 3*t[87] - (3*t[88])/2 - (17*t[89])/16 - 
       2*t[98] + 5*t[99] - (61*t[100])/2) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*(-t[1]/4 + (25*t[3])/8 + (23*t[4])/8 - 
       (71*t[5])/16 - (59*t[6])/32 + 8*t[7] + (5*t[8])/2 + (25*t[9])/8 - 
       (49*t[10])/16 + (211*t[11])/32 + (17*t[12])/8 - (31*t[13])/24 + 
       (19*t[14])/8 + (41*t[15])/36 - t[18]/2 - t[24] - 2*t[28] - t[30]/2 + 
       t[32] - t[33] + (3*t[35])/2 + t[36] - t[37]/2 - t[43]/4 + 
       (3*t[44])/4 + t[47]/2 - (65*t[48])/32 + (3*t[49])/16 + (63*t[50])/32 - 
       (3*t[51])/32 - (63*t[52])/32 - (3*t[53])/16 - (95*t[54])/32 + 
       t[59]/2 + (41*t[60])/16 + (241*t[61])/16 - (407*t[62])/32 + 
       (87*t[63])/32 - (47*t[64])/32 - (95*t[65])/48 - (75*t[66])/16 + 
       t[69]/2 + t[70]/2 - t[71]/2 - (3*t[74])/2 - (5*t[75])/2 - t[77] - 
       (3*t[78])/2 - (3*t[79])/2 - t[81] - t[82] + 4*t[83] - (7*t[84])/16 - 
       (15*t[85])/16 + (27*t[86])/2 + (37*t[87])/16 + (37*t[88])/32 - 
       (193*t[89])/32 + t[99] - 28*t[100]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*((17*t[2])/8 - (15*t[3])/16 + 
       (5*t[4])/8 + (27*t[5])/32 + (21*t[6])/4 - (3*t[7])/16 + 
       (147*t[8])/16 - (127*t[9])/32 + 6*t[10] + (19*t[11])/4 + 
       (15*t[12])/32 + (217*t[13])/96 + (17*t[14])/2 + (1201*t[15])/192 - 
       t[18]/2 - t[20] + t[22] + (3*t[28])/2 + t[31]/2 - t[32]/2 + 
       (3*t[33])/2 - (3*t[35])/2 + t[37]/2 - t[43]/8 - t[44]/2 + 2*t[45] + 
       (3*t[46])/4 - 6*t[47] + (29*t[48])/16 + (11*t[49])/16 - 
       (27*t[50])/16 - (13*t[51])/32 + (27*t[52])/16 - (11*t[53])/16 + 
       (37*t[54])/16 + (3*t[59])/4 + (19*t[60])/2 + (33*t[61])/2 + 
       (33*t[62])/8 + (29*t[63])/8 - (95*t[64])/8 - (8*t[65])/3 - 
       (27*t[66])/2 + t[69]/2 + t[70]/2 - t[71]/2 - t[74] + t[75]/2 + t[77] - 
       t[78]/2 + t[79]/2 - 6*t[80] + (3*t[81])/4 - (3*t[82])/4 - 
       (11*t[83])/2 + (15*t[84])/8 - (5*t[85])/4 - (29*t[86])/2 - 4*t[87] - 
       2*t[88] - (3*t[89])/8 + t[99] - 28*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*(t[1]/4 + (15*t[2])/2 - 
       (83*t[3])/16 + (37*t[4])/2 - (297*t[5])/32 + (13*t[6])/8 + 
       (43*t[7])/8 - (79*t[8])/8 + (407*t[9])/32 - (27*t[10])/4 + 
       (265*t[11])/16 + (117*t[12])/32 + (839*t[13])/72 + (1579*t[14])/96 + 
       (245*t[15])/64 + t[23] - 2*t[28] + t[30] + 3*t[31] - t[32] - t[33] + 
       t[34] + 5*t[35] - 2*t[37] - t[39] + t[40] - t[41]/2 - (27*t[43])/16 - 
       (3*t[45])/8 + t[46]/2 - (21*t[47])/4 - (53*t[48])/8 + (17*t[49])/8 + 
       (27*t[50])/8 - (23*t[51])/16 - (35*t[52])/8 - (17*t[53])/8 - 
       (49*t[54])/8 + (3*t[59])/4 + (77*t[60])/4 + 21*t[61] + (35*t[62])/8 + 
       (21*t[63])/8 - (185*t[64])/4 - (141*t[65])/8 - (141*t[66])/8 - t[69] + 
       t[73] + 2*t[74] - 3*t[75] - t[77]/2 + (7*t[78])/2 - 7*t[79] - 
       11*t[80] + t[81]/2 - 5*t[82] + 7*t[83] + (5*t[84])/2 + (9*t[85])/2 - 
       (19*t[86])/2 - 13*t[87] - (13*t[88])/2 - (49*t[89])/8 - 2*t[98] + 
       14*t[99] - 27*t[100]) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      (-2*t[2] - (121*t[3])/16 + (57*t[4])/4 + (29*t[5])/8 + (365*t[6])/32 + 
       6*t[7] + (35*t[8])/2 + (145*t[9])/16 + (13*t[10])/8 + (643*t[11])/32 - 
       (29*t[12])/4 + (551*t[13])/48 + (855*t[14])/32 + (257*t[15])/24 + 
       t[20] + t[21] - t[23] + 2*t[24] + t[28] - (9*t[29])/4 + t[30] + 
       t[31] + (5*t[32])/4 - t[33] + t[34] - 3*t[35] - t[37] + t[39] - 
       t[40] - t[42]/2 - (31*t[44])/8 + t[45] - 7*t[47] - (13*t[48])/32 + 
       (7*t[49])/8 + (35*t[50])/32 - (7*t[51])/16 - (3*t[52])/32 - 
       (7*t[53])/8 - (19*t[54])/32 + t[59] + (555*t[60])/16 + 
       (681*t[61])/16 + (133*t[62])/32 - (109*t[63])/32 - (1515*t[64])/32 - 
       (249*t[65])/16 - (769*t[66])/48 - 3*t[73] + t[74] + 7*t[75] + t[77] + 
       (11*t[78])/2 - 9*t[79] + t[80] + (3*t[81])/2 - (5*t[82])/2 - 2*t[83] + 
       (117*t[84])/16 + (33*t[85])/16 - 29*t[86] - (323*t[87])/16 - 
       (291*t[88])/32 + (37*t[89])/32 - 2*t[95] - 2*t[98] + 14*t[99] - 
       27*t[100]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (-t[1]/4 + (103*t[2])/8 - t[3]/16 + (23*t[4])/2 - (151*t[5])/16 + 
       (143*t[6])/32 + (57*t[7])/16 + (127*t[8])/16 + (365*t[9])/16 - 
       (247*t[10])/16 + (515*t[11])/32 - (17*t[12])/16 + (2063*t[13])/288 + 
       (2561*t[14])/96 - (5*t[15])/6 + t[20] + 2*t[21] - 2*t[22] - 2*t[23] + 
       t[24] - t[27] + 3*t[28] - (3*t[29])/4 - (3*t[30])/2 - t[32]/2 + 
       t[33]/2 + 3*t[34] - t[35] - (3*t[36])/2 - t[37] - t[38] + 
       (7*t[39])/2 - 3*t[40] + t[41]/2 - t[42]/2 + (5*t[43])/16 - 
       (17*t[44])/8 - 5*t[45] + (3*t[46])/4 + t[47] - (89*t[48])/32 + 
       (41*t[49])/8 - (53*t[50])/32 - (15*t[51])/4 + (149*t[52])/32 - 
       (41*t[53])/8 - (107*t[54])/32 - t[57] + (3*t[59])/4 + (321*t[60])/16 + 
       (419*t[61])/16 - (431*t[62])/32 + (23*t[63])/32 - (497*t[64])/32 - 
       (665*t[65])/48 - (681*t[66])/16 - t[69] + 3*t[72] - t[73] + 3*t[74] + 
       8*t[75] + (5*t[76])/2 + t[77]/2 + 2*t[78] - (29*t[79])/2 + 
       (17*t[80])/2 + 6*t[81] - (21*t[82])/2 + (23*t[83])/2 + (27*t[84])/16 + 
       (47*t[85])/16 + (67*t[86])/4 - (335*t[87])/16 - (335*t[88])/32 - 
       (509*t[89])/32 + t[97]/2 + 10*t[98] + 14*t[99] - (53*t[100])/2) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (-t[1]/4 + (121*t[2])/8 - (69*t[3])/16 + 4*t[4] - (175*t[5])/16 + 
       (87*t[6])/32 + (229*t[7])/16 + (115*t[8])/16 + (529*t[9])/16 - 
       (279*t[10])/16 + (515*t[11])/32 + (79*t[12])/16 + (1171*t[13])/288 + 
       (2701*t[14])/96 + (71*t[15])/36 - t[20] - 2*t[27] + 2*t[28] - 
       (3*t[29])/4 - (3*t[30])/2 - t[32]/2 - t[33]/2 + 3*t[34] + 2*t[35] + 
       t[36]/2 - t[37] - t[38] + (7*t[39])/2 - 3*t[40] + (5*t[43])/16 - 
       (17*t[44])/8 - 5*t[45] - t[46]/4 + 4*t[47] - (89*t[48])/32 + 
       (27*t[49])/8 - (5*t[50])/32 - (17*t[51])/8 + (101*t[52])/32 - 
       (27*t[53])/8 - (75*t[54])/32 - t[57] + (5*t[59])/4 + (309*t[60])/16 + 
       (615*t[61])/16 - (323*t[62])/32 + (475*t[63])/32 - (453*t[64])/32 - 
       (173*t[65])/48 - (561*t[66])/16 - t[69] + 2*t[72] - t[73] + 3*t[74] + 
       7*t[75] + (5*t[76])/2 + t[77]/2 + 4*t[78] - 6*t[79] + t[80]/2 + 
       5*t[81] - (17*t[82])/2 + 11*t[83] + (67*t[84])/16 + (31*t[85])/16 + 
       (61*t[86])/4 - (287*t[87])/16 - (287*t[88])/32 - (457*t[89])/32 + 
       t[97]/2 + 10*t[98] + 14*t[99] - (53*t[100])/2) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-3*t[1])/4 + (7*t[2])/4 - t[3]/4 + (71*t[4])/8 + (3*t[5])/4 + 
       (103*t[6])/8 - (325*t[7])/16 - (23*t[8])/16 - (277*t[9])/16 - 
       (27*t[10])/8 + (5*t[11])/16 - (165*t[12])/16 + (677*t[13])/288 + 
       (145*t[14])/32 + (499*t[15])/96 - t[18] - t[21] + t[23] + t[24] + 
       t[25] - t[26]/2 - t[27] + t[28] + t[29] + t[30] + t[33] - t[34] - 
       t[36] - 2*t[37] - t[38] - (3*t[41])/4 + t[42]/4 + (31*t[43])/16 - 
       t[44]/2 + (17*t[45])/8 + (5*t[46])/4 - (41*t[47])/4 + (77*t[48])/16 + 
       (7*t[49])/16 - (59*t[50])/16 - (45*t[51])/32 + (75*t[52])/16 - 
       (7*t[53])/16 + (29*t[54])/16 + t[59]/2 + (55*t[60])/4 + 29*t[61] + 
       (147*t[62])/4 + (81*t[63])/4 - (163*t[64])/4 - 26*t[65] + 
       (17*t[66])/2 + 2*t[70] - 2*t[71] - t[72] - t[73] + 3*t[74] + 8*t[75] - 
       (5*t[76])/2 + t[77] + (11*t[78])/2 - 9*t[79] - 3*t[80] - t[82] - 
       (29*t[83])/2 + (11*t[84])/4 - (9*t[85])/4 - (95*t[86])/2 - 
       (35*t[87])/4 - (35*t[88])/8 - (61*t[89])/8 - 14*t[98] + 12*t[99] - 
       26*t[100]) + F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (t[1]/4 + (27*t[2])/8 - (195*t[3])/16 - t[4]/8 + (45*t[5])/16 - 
       (19*t[6])/4 + (39*t[7])/8 + (27*t[8])/8 + (245*t[9])/16 + 
       (109*t[10])/16 + (17*t[11])/2 + (23*t[12])/4 + (341*t[13])/144 + 
       (521*t[14])/96 + (259*t[15])/144 - t[24] + 2*t[27] - 2*t[28] - 
       (3*t[29])/4 - t[30]/2 + (11*t[32])/4 - (3*t[33])/2 - t[34]/2 + 
       t[37]/2 - t[40] - t[43]/4 + (3*t[44])/8 + t[45]/2 - (23*t[48])/8 - 
       (21*t[49])/16 + (57*t[50])/8 + (21*t[51])/32 - (45*t[52])/8 + 
       (21*t[53])/16 - (33*t[54])/8 - t[59]/4 + (71*t[60])/8 + (51*t[61])/4 - 
       (115*t[62])/8 - (49*t[63])/8 - (23*t[64])/8 - (55*t[65])/24 - 
       (107*t[66])/8 + t[70] - t[71] + 2*t[72] + 2*t[73] + (5*t[74])/2 - 
       7*t[75] - t[76] - t[77]/2 + 3*t[78] + 3*t[79] - 3*t[80] - 
       (13*t[81])/4 + (17*t[82])/4 + 9*t[83] + (21*t[84])/8 - (5*t[85])/4 + 
       10*t[86] - (5*t[87])/2 + (13*t[88])/4 - (61*t[89])/16 - t[95] - 
       t[96] + t[97]/2 - 14*t[98] + 12*t[99] - 26*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[v, w, u]*(-t[59] + (3*t[60])/2 + 
       (15*t[61])/2 - (5*t[62])/4 + (37*t[63])/4 - (35*t[64])/4 + 
       (13*t[65])/6 - (49*t[66])/6 - 2*t[73] - t[74] + 2*t[75] - t[76] + 
       2*t[78] - t[79] + 2*t[81] - t[82] - 8*t[83] + (3*t[84])/2 + 
       (3*t[85])/2 - 3*t[86] - (11*t[87])/2 - (11*t[88])/4 + (7*t[89])/4 - 
       4*t[98] + 20*t[99] - 26*t[100]) + HPL[{0, 1}, 1 - w]*K1[v, w, u]*
      ((-23*t[2])/4 - 7*t[3] + 2*t[4] + (11*t[5])/8 + (19*t[6])/8 - 
       (7*t[7])/2 - (55*t[8])/4 - (123*t[9])/8 + 5*t[10] + (33*t[11])/8 + 
       (31*t[12])/8 + (157*t[13])/24 + (5*t[14])/3 - (85*t[15])/48 - t[18] - 
       2*t[21] + t[22] + 2*t[23] - t[24] - 3*t[28] + t[32] - t[33] + t[34] + 
       2*t[35] - 2*t[39] - t[41] + t[42]/2 - t[43]/2 - t[44] - 2*t[47] - 
       (17*t[48])/8 - 2*t[49] + (19*t[50])/8 + t[51] - (19*t[52])/8 + 
       2*t[53] + (33*t[54])/8 - t[59] + (13*t[60])/2 + 21*t[61] - 
       (55*t[62])/8 + (199*t[63])/8 + (57*t[64])/4 + (9*t[65])/4 - 
       (25*t[66])/3 + t[69] + 2*t[70] - 2*t[71] - t[72] - 3*t[73] - 2*t[74] - 
       2*t[76] + (5*t[78])/2 - 4*t[79] - 5*t[80] - t[81]/2 - 11*t[83] + 
       (11*t[84])/4 - (13*t[85])/4 - 15*t[86] - (23*t[87])/4 - (23*t[88])/8 - 
       t[89]/2 - 10*t[98] + 14*t[99] - 23*t[100]) + 
     H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*((-9*t[3])/8 + (57*t[4])/8 - 
       (73*t[5])/16 + (9*t[6])/4 - (11*t[7])/8 + (19*t[8])/8 + (69*t[9])/16 + 
       (27*t[10])/16 + (49*t[11])/8 - (15*t[12])/8 + (223*t[13])/72 + 
       (505*t[14])/96 + (85*t[15])/32 + t[28] - t[31]/2 + t[33] + t[35]/2 - 
       t[37]/2 - (3*t[43])/4 - t[44]/2 + t[47]/2 + t[48]/4 + (15*t[49])/16 - 
       t[50]/4 - (15*t[51])/32 + t[52]/4 - (15*t[53])/16 - t[54]/8 + 
       (63*t[60])/8 + (91*t[61])/8 + (43*t[62])/16 + (13*t[63])/16 - 
       (297*t[64])/16 - (107*t[65])/24 - (67*t[66])/8 - t[74]/2 + t[75]/2 + 
       t[78]/2 + 2*t[79] - 2*t[80] - t[82]/2 - (13*t[83])/4 + (15*t[84])/8 + 
       (3*t[85])/8 - 7*t[86] - (45*t[87])/8 - (45*t[88])/16 - (7*t[89])/16 + 
       3*t[99] - (45*t[100])/2) + H1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (2*t[2] - (7*t[3])/2 + (41*t[4])/8 - (83*t[5])/16 + 3*t[6] - 
       (25*t[7])/8 + (41*t[8])/8 + (27*t[9])/16 - (9*t[10])/16 + 6*t[11] - 
       (7*t[12])/4 + (847*t[13])/144 + (481*t[14])/96 + (49*t[15])/32 + 
       t[28]/2 - t[32]/2 + t[33]/2 - t[43]/4 - (3*t[44])/2 + (7*t[48])/8 + 
       (7*t[49])/16 - (7*t[50])/8 - (7*t[51])/32 + (7*t[52])/8 - 
       (7*t[53])/16 + t[54]/2 + (63*t[60])/8 + (83*t[61])/8 + (55*t[62])/16 - 
       (15*t[63])/16 - (225*t[64])/16 - (59*t[65])/24 - (413*t[66])/24 - 
       t[74]/2 + t[75] + t[77]/2 + t[78]/2 + t[79] - t[80] - (7*t[83])/2 + 
       (15*t[84])/8 + (3*t[85])/8 - 5*t[86] - (45*t[87])/8 - (45*t[88])/16 + 
       (17*t[89])/16 + 3*t[99] - (45*t[100])/2) + F1[v, w, u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((15*t[2])/8 - (5*t[3])/4 + 2*t[4] + (11*t[5])/8 + 
       2*t[6] - (9*t[7])/8 + (3*t[8])/8 - t[9]/2 - (17*t[10])/8 + 
       (19*t[11])/4 + t[12] + (15*t[13])/4 + (17*t[14])/4 + (5*t[15])/4 + 
       t[28] + t[33] - t[44] - t[48]/4 - t[49]/4 + t[50]/4 + t[51]/8 - 
       t[52]/4 + t[53]/4 + t[54]/4 + t[59] + (27*t[60])/4 + (63*t[61])/4 - 
       (13*t[62])/8 + (33*t[63])/8 - 11*t[64] - (91*t[65])/12 - 
       (49*t[66])/4 + 2*t[73] - t[74] - 2*t[75] + t[76] + t[79]/4 + t[81] - 
       (3*t[83])/2 + (9*t[84])/4 - (7*t[85])/4 - (13*t[86])/4 - 
       (13*t[87])/4 - (13*t[88])/8 - (25*t[89])/8 + 6*t[98] - 6*t[99] - 
       21*t[100]) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((9*t[2])/8 - (9*t[3])/4 + 4*t[4] - (17*t[5])/8 + (5*t[6])/4 - 
       (3*t[7])/8 - t[8]/8 - t[9]/4 - (7*t[10])/8 + (9*t[11])/2 + 
       (7*t[12])/4 + (32*t[13])/9 + (55*t[14])/12 + (25*t[15])/24 - t[24] + 
       t[35]/2 - t[43]/2 + t[45] - 2*t[47] - t[48] + t[49]/4 + t[50] - 
       t[51]/8 - t[52] - t[53]/4 - t[54]/2 + (11*t[60])/2 + 10*t[61] - 
       (11*t[62])/4 + t[63]/2 - (53*t[64])/4 - (61*t[65])/12 - 
       (143*t[66])/12 + t[73] - t[74]/2 - t[75] + t[76] - t[78] - t[79]/2 - 
       2*t[80] + t[81]/2 - (3*t[82])/2 - t[83]/2 + (5*t[84])/4 - t[85]/2 - 
       (5*t[86])/2 - 3*t[87] - (3*t[88])/2 - (11*t[89])/4 + 6*t[98] - 
       6*t[99] - 21*t[100]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      Phi6[u, v, w]*(-t[1]/4 + (3*t[2])/2 - t[3] + t[4] + (11*t[5])/8 + 
       3*t[6] - (7*t[7])/4 + (7*t[8])/2 - (19*t[9])/8 - (5*t[10])/2 + 
       (15*t[11])/4 + (15*t[12])/8 + 4*t[13] + (13*t[14])/4 + (59*t[15])/48 + 
       t[28] + t[33] - t[44] + (3*t[48])/4 - t[49]/4 - (3*t[50])/4 + 
       t[51]/8 + (3*t[52])/4 + t[53]/4 + (5*t[54])/4 + t[59]/2 + 
       (51*t[60])/8 + (117*t[61])/8 - (21*t[62])/16 - (13*t[63])/16 - 
       (19*t[64])/4 - (69*t[65])/16 - (533*t[66])/48 + 2*t[73] - t[74] - 
       2*t[75] + t[76] + (9*t[81])/8 - t[82]/8 - (21*t[83])/8 + 
       (33*t[84])/16 - (7*t[85])/4 - 2*t[86] - (19*t[87])/8 - (19*t[88])/16 - 
       (17*t[89])/8 + 6*t[98] - 6*t[99] - 21*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      ((-3*t[2])/4 - (9*t[3])/4 + 4*t[4] - (23*t[5])/8 + t[6]/2 + t[7] + 
       t[8]/2 + (5*t[9])/8 + t[10]/4 + (9*t[11])/2 + (11*t[12])/8 + 
       (101*t[13])/36 + (13*t[14])/3 + (31*t[15])/48 - t[24] - t[43]/2 + 
       t[45] - 2*t[47] - t[48] + t[49]/4 + t[50] - t[51]/8 - t[52] - 
       t[53]/4 - t[54]/2 + (51*t[60])/8 + (73*t[61])/8 - (57*t[62])/16 + 
       (11*t[63])/16 - (65*t[64])/8 - (59*t[65])/16 - (479*t[66])/48 + 
       t[73] - t[74] - t[75] + t[76] - t[78] - t[79] - 2*t[80] + 
       (3*t[81])/8 - (11*t[82])/8 - (7*t[83])/8 + (23*t[84])/16 - t[85]/2 - 
       t[86] - (27*t[87])/8 - (27*t[88])/16 - 2*t[89] + 6*t[98] - 6*t[99] - 
       21*t[100]) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*(t[3]/2 + (5*t[4])/2 + t[5] + (5*t[6])/2 + t[7]/2 + 
       4*t[8] - t[9]/2 - (11*t[10])/4 + (7*t[11])/2 - t[12]/4 + (7*t[13])/4 + 
       (11*t[14])/8 + t[15]/4 + t[28] + t[33] - t[35] + t[48] + t[49]/4 - 
       t[50] - t[51]/8 + t[52] - t[53]/4 + t[54]/2 - t[59]/2 + 10*t[60] + 
       (31*t[61])/2 - (17*t[62])/8 - (15*t[63])/8 - (63*t[64])/4 - 
       (25*t[65])/6 - (65*t[66])/12 - t[73] - t[74] + 7*t[75] + 3*t[78] - 
       3*t[79] - t[80] + t[81]/2 - t[82]/2 - (9*t[83])/2 + 2*t[84] + 
       (3*t[85])/4 - t[86] - (23*t[87])/4 - (23*t[88])/8 - 2*t[98] + 
       6*t[99] - (37*t[100])/2) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((3*t[2])/2 - (7*t[3])/2 + (5*t[4])/2 - 3*t[5] - 
       t[6]/2 + 7*t[7] + (7*t[8])/2 + 3*t[9] - (5*t[10])/4 + (9*t[11])/2 + 
       (7*t[12])/4 + (7*t[13])/4 + (41*t[14])/24 + (2*t[15])/3 - t[24] + 
       t[35] - t[45] + 3*t[47] + t[49]/4 - t[51]/8 - t[53]/4 - t[54]/2 - 
       t[59] + (5*t[60])/4 + (31*t[61])/4 - (25*t[62])/4 - (41*t[63])/4 + 
       (27*t[64])/8 + (7*t[65])/12 - (4*t[66])/3 + 2*t[75] + t[76] + 
       2*t[78] + 2*t[79] + 2*t[80] - t[81]/2 + t[82]/2 - t[83] + 
       (3*t[84])/4 - (3*t[85])/2 + 15*t[86] - (21*t[89])/8 - 2*t[98] + 
       6*t[99] - (37*t[100])/2) + F1[v, w, u]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*((-3*t[2])/4 + (15*t[4])/4 - t[5]/4 + (3*t[6])/2 + 
       (13*t[7])/4 - (5*t[8])/4 + (7*t[9])/4 - (21*t[10])/8 + (29*t[11])/4 + 
       (5*t[12])/8 + (11*t[13])/3 + (143*t[14])/48 + (23*t[15])/72 + t[28] + 
       t[33] + t[44] - t[48]/2 + (3*t[49])/8 + t[50]/2 - (3*t[51])/16 - 
       t[52]/2 - (3*t[53])/8 - (5*t[54])/4 + (35*t[60])/4 + (43*t[61])/4 - 
       (25*t[62])/8 - (11*t[63])/8 - (123*t[64])/8 - (11*t[65])/6 - 
       (28*t[66])/3 - t[73] - t[74] + 4*t[75] - t[79] + t[81]/2 - t[82]/2 - 
       8*t[83] + (3*t[84])/2 + (3*t[85])/4 - t[86] - (23*t[87])/4 - 
       (23*t[88])/8 - (5*t[89])/8 - (33*t[100])/2) + 
     F1[u, v, w]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*(t[1]/4 + (3*t[2])/2 - 
       2*t[3] - t[4]/2 - (3*t[5])/4 - t[6]/4 + (63*t[7])/8 + (23*t[8])/8 + 
       (21*t[9])/4 - (33*t[10])/8 + (35*t[11])/4 + t[12]/2 + (77*t[13])/18 + 
       (65*t[14])/48 + (3*t[15])/8 - t[24] + t[35] - t[37]/2 + t[43]/2 - 
       t[45] + t[46]/4 + 3*t[47] - t[48]/2 - t[49]/2 + t[50]/2 + t[51]/16 - 
       t[52]/2 + t[53]/2 - t[54] - t[59] + (19*t[60])/4 + (43*t[61])/4 - 
       (119*t[62])/8 - (125*t[63])/8 + (73*t[64])/8 + (26*t[65])/3 - 
       (137*t[66])/12 - (3*t[69])/2 + t[70] - t[71] + t[74]/2 + (7*t[79])/2 + 
       6*t[80] + t[81]/2 - t[82]/2 - 2*t[83] + (7*t[84])/4 + t[85]/2 + 
       (41*t[86])/2 - 2*t[87] - t[88] + (21*t[89])/8 - (33*t[100])/2) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (-t[1]/2 + (5*t[2])/4 - 3*t[3] + (43*t[4])/8 - (25*t[5])/16 + 
       (13*t[6])/16 + (9*t[7])/8 - (9*t[8])/8 + (89*t[9])/16 - 
       (15*t[10])/16 + (53*t[11])/16 - (15*t[12])/8 + (127*t[13])/48 + 
       (523*t[14])/96 + (53*t[15])/96 + t[25] - t[26]/2 - t[27]/2 + t[28]/2 - 
       t[32]/2 + t[33]/2 - t[38]/2 - t[43]/4 + t[44]/2 - (3*t[46])/4 - 
       t[47] + (7*t[48])/16 + (37*t[49])/16 + (3*t[50])/16 - (11*t[51])/32 - 
       (3*t[52])/16 - (37*t[53])/16 - (29*t[54])/16 + t[59]/4 + 7*t[60] + 
       (33*t[61])/4 - t[62]/2 + (7*t[63])/4 - (127*t[64])/8 - 
       (133*t[65])/24 - (1063*t[66])/72 + t[73]/2 - t[74]/2 - t[75]/2 + 
       t[76]/2 + t[77]/2 - t[78]/2 - 2*t[79] - t[80] + (5*t[81])/4 - 
       (5*t[82])/4 - t[83]/2 + (9*t[84])/8 + t[85] - 2*t[86] - (23*t[87])/4 - 
       (23*t[88])/8 - (9*t[89])/8 + 3*t[98] - 3*t[99] - (33*t[100])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      ((21*t[3])/8 + (5*t[4])/8 - (13*t[5])/8 + t[6]/2 - (5*t[7])/4 - 
       (11*t[9])/8 - (39*t[10])/16 + 4*t[11] - (37*t[12])/16 + 
       (11*t[13])/18 + (67*t[14])/96 + (31*t[15])/16 - t[31]/2 + t[35]/2 + 
       t[36]/2 - t[37]/2 + t[43]/4 - t[44]/2 + t[47]/2 + t[48]/4 + 
       (7*t[49])/16 - t[50]/4 - (7*t[51])/32 + t[52]/4 - (7*t[53])/16 - 
       (9*t[54])/8 - t[60]/8 + (13*t[61])/8 - (3*t[62])/16 - (21*t[63])/16 - 
       (15*t[64])/16 - (47*t[65])/24 - (77*t[66])/24 + t[72]/2 + t[73]/2 - 
       t[74]/2 - 3*t[75] + t[76]/2 - t[77]/2 - (3*t[78])/2 + (7*t[79])/2 + 
       2*t[80] + t[81]/2 - t[82] + (9*t[83])/4 + t[84]/8 + (11*t[85])/8 + 
       (5*t[86])/2 - (9*t[87])/8 - (9*t[88])/16 - (13*t[89])/16 + 3*t[98] - 
       3*t[99] - (33*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      Phi6[u, v, w]*(-t[3]/2 - t[5]/4 + t[7]/2 + (3*t[8])/2 - (3*t[9])/4 - 
       t[10]/2 + t[11]/2 + t[12]/4 + (37*t[14])/12 + (13*t[15])/24 - t[22] - 
       2*t[29] - 7*t[60] + 3*t[61] - (15*t[62])/2 - (11*t[63])/2 - 2*t[64] - 
       (5*t[65])/6 - (9*t[66])/2 + t[81] - t[82] + 5*t[83] - (3*t[84])/2 + 
       5*t[87] + (5*t[88])/2 + 4*t[99] - (33*t[100])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      (t[3]/2 + 2*t[4] + t[5] + (5*t[6])/4 - 5*t[7] - 3*t[8] - (3*t[9])/2 + 
       t[10] + (11*t[11])/4 - t[12] + (13*t[13])/6 + (5*t[14])/12 - t[15]/3 - 
       t[48]/4 + t[49] - t[50]/4 - t[51]/2 + t[52]/4 - t[53] - (11*t[54])/4 + 
       (25*t[60])/4 + (43*t[61])/4 + (5*t[62])/2 + (31*t[63])/2 - 
       (15*t[64])/8 - (25*t[65])/6 - (217*t[66])/12 - t[79] + 5*t[80] - 
       t[81] - t[82] - 5*t[83] + 2*t[84] - (3*t[85])/2 - 2*t[86] - 
       (7*t[87])/2 - (7*t[88])/4 + t[89]/8 + 4*t[99] - (33*t[100])/2) + 
     HPL[{0, 1}, 1 - w]*J1[v, w, u]*(-t[1]/16 - (41*t[2])/16 - (9*t[3])/2 - 
       t[4]/8 + (95*t[5])/32 + (41*t[6])/16 - t[7]/2 - 3*t[8] - 
       (157*t[9])/32 - (11*t[10])/8 + (45*t[11])/16 + (107*t[12])/32 + 
       (203*t[13])/72 + (73*t[14])/32 - (311*t[15])/192 - (5*t[18])/8 - 
       (3*t[20])/4 + (3*t[22])/4 - (3*t[24])/4 - t[28]/8 - (3*t[30])/4 + 
       t[31]/4 + t[32]/8 - t[33]/8 - (5*t[35])/8 + t[37]/8 - t[47]/8 - 
       (9*t[48])/16 - (5*t[49])/4 + t[50]/16 + (5*t[51])/8 - t[52]/16 + 
       (5*t[53])/4 + (39*t[54])/16 - (5*t[59])/8 - t[60]/16 + 
       (239*t[61])/16 - (63*t[62])/32 + (355*t[63])/32 + (471*t[64])/32 + 
       (97*t[65])/24 - (29*t[66])/3 + t[69]/8 + (5*t[70])/8 - (5*t[71])/8 + 
       (3*t[72])/4 - (3*t[74])/4 - t[75]/4 - t[77]/8 - t[78]/4 + 
       (3*t[79])/4 + t[80]/4 + t[82]/8 - (57*t[83])/16 + (15*t[84])/8 - 
       (19*t[85])/16 - (31*t[86])/4 - (17*t[87])/16 - (17*t[88])/32 - 
       (47*t[89])/32 - (9*t[99])/2 - (65*t[100])/4) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - u]*(-t[1]/2 - (61*t[3])/4 + (35*t[4])/4 - 
       16*t[5] - (15*t[6])/4 + (69*t[7])/4 + (15*t[8])/2 + (105*t[9])/4 - 
       (7*t[10])/8 + (187*t[11])/8 + (85*t[12])/8 + (117*t[13])/16 + 
       (375*t[14])/16 + (59*t[15])/12 - t[22] + t[23] - 4*t[24] + t[27] - 
       2*t[28] + t[30] - t[32] - t[33] + 5*t[34] + 2*t[35] - t[36] - t[38] - 
       t[39] - t[40]/2 - t[42]/2 - t[43]/4 - t[44] - (29*t[45])/4 + t[46] + 
       7*t[47] - (47*t[48])/8 + (15*t[49])/8 + (57*t[50])/8 - (31*t[51])/16 - 
       (41*t[52])/8 - (15*t[53])/8 - (11*t[54])/8 - 2*t[57] + (3*t[59])/4 + 
       (29*t[60])/4 + (133*t[61])/4 - (23*t[62])/8 + (203*t[63])/8 - 
       13*t[64] - 5*t[65] - (167*t[66])/12 + 4*t[75] + (3*t[76])/2 + 
       (13*t[78])/2 + 2*t[79] + 4*t[80] + 2*t[81] + (5*t[82])/2 + 15*t[83] + 
       t[84]/2 - t[85]/2 - (5*t[86])/2 - (15*t[87])/2 - (15*t[88])/4 - 
       (91*t[89])/8 + t[97]/2 + 8*t[98] - 16*t[100]) + 
     F1[u, v, w]*HPL[{0, 0, 1}, 1 - v]*(-t[1]/2 + t[2]/2 - (59*t[3])/8 + 
       (41*t[4])/4 + (15*t[5])/2 + (157*t[6])/8 + t[7]/2 + (111*t[8])/4 + 
       (17*t[9])/4 + (73*t[10])/8 + (111*t[11])/8 - (19*t[12])/8 + 
       (287*t[13])/36 + (505*t[14])/16 + (1751*t[15])/144 - t[19] + 2*t[20] + 
       2*t[21] - 2*t[23] + 2*t[24] + 6*t[28] + t[29] - t[30]/2 + 2*t[31] - 
       t[32] + 5*t[33] + 2*t[34] - 4*t[35] + t[36] + t[37] - t[38] + 
       2*t[39] - (7*t[40])/2 + t[41]/2 - t[42] - t[43]/2 - (5*t[44])/2 - 
       (3*t[45])/2 - (11*t[47])/2 + (19*t[48])/8 + (25*t[49])/8 - 
       (17*t[50])/8 - (37*t[51])/16 + (49*t[52])/8 - (25*t[53])/8 + 
       (25*t[54])/8 + (3*t[59])/4 + (119*t[60])/4 + (179*t[61])/4 + 
       (49*t[62])/2 + (49*t[63])/2 - 63*t[64] - (83*t[65])/6 - 
       (73*t[66])/12 - t[72] - t[73] + 13*t[75] + (5*t[76])/2 + 2*t[77] + 
       (13*t[78])/2 - 8*t[79] - 2*t[80] + (7*t[81])/2 - 4*t[82] - 5*t[83] + 
       3*t[84] + (7*t[85])/4 - 44*t[86] - (109*t[87])/4 - (109*t[88])/8 - 
       (67*t[89])/8 + t[97]/2 + 8*t[98] - 16*t[100]) + 
     G[u, v, w]*HPL[{1}, 1 - u]^2*(t[3] - (11*t[4])/4 + (27*t[5])/16 - 
       (5*t[6])/2 + (37*t[7])/8 - (39*t[8])/8 + (9*t[9])/16 - (7*t[10])/2 + 
       (23*t[11])/8 + (7*t[12])/16 - (61*t[13])/72 - t[14] - (27*t[15])/32 + 
       t[20]/2 - 2*t[28] + t[32]/2 - t[33] + t[35] + t[36]/2 + t[43]/2 + 
       t[44] - (7*t[48])/4 - t[49]/8 + (7*t[50])/4 + t[51]/16 - (7*t[52])/4 + 
       t[53]/8 - (5*t[54])/2 - (9*t[60])/4 + t[61]/2 - (29*t[62])/4 + 
       (3*t[63])/4 + 9*t[64] - (8*t[65])/3 - (11*t[66])/3 + t[69]/2 + 
       t[72]/2 + t[73] - 4*t[75] + t[76]/2 - t[77]/2 - 2*t[78] + 
       (5*t[79])/2 + 2*t[80] + (23*t[83])/4 - (3*t[84])/4 + (3*t[85])/4 + 
       (19*t[86])/2 + (7*t[87])/4 + (7*t[88])/8 - (13*t[89])/4 + 3*t[98] - 
       6*t[99] - (27*t[100])/2) + G[u, v, w]*HPL[{1}, 1 - v]^2*
      (-t[1]/2 - t[2]/2 - (11*t[3])/8 - (13*t[4])/4 + (29*t[5])/16 + 
       (13*t[6])/4 - (3*t[7])/4 - (5*t[8])/2 + (13*t[9])/16 - (3*t[10])/2 + 
       (27*t[11])/8 - (77*t[12])/16 + (329*t[13])/144 + (23*t[14])/6 + 
       (169*t[15])/96 - t[21]/2 + t[23]/2 + t[25] - t[26]/2 - t[27]/2 - 
       t[35]/2 - t[37]/2 - t[38]/2 - t[41]/4 + t[42]/4 + t[43]/2 + t[44] + 
       (3*t[45])/2 - t[46] - 4*t[47] + (3*t[48])/4 + (11*t[49])/8 + 
       (5*t[51])/16 - (11*t[53])/8 - t[54]/4 + 6*t[60] + (59*t[61])/4 - 
       (7*t[62])/4 + (29*t[63])/8 - (15*t[64])/4 - (55*t[65])/24 - 
       (271*t[66])/24 - t[69] + t[70] - t[71] + t[73]/2 - t[74]/2 - 
       (3*t[75])/2 + t[76]/2 - t[78] + t[79]/2 + t[80] + (5*t[81])/4 - 
       (5*t[82])/4 + (3*t[83])/4 + (11*t[84])/8 + t[85]/2 - (7*t[86])/2 - 
       (11*t[87])/4 - (11*t[88])/8 - (13*t[89])/8 + 3*t[98] - 6*t[99] - 
       (27*t[100])/2) + F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      ((-3*t[2])/4 - (3*t[3])/2 + (21*t[4])/8 - (33*t[5])/16 - (3*t[6])/4 + 
       (5*t[7])/8 - (39*t[8])/8 + (13*t[9])/16 + (15*t[10])/16 + 
       (5*t[11])/2 + (9*t[12])/8 + (197*t[13])/144 + (83*t[14])/32 - 
       (19*t[15])/96 - t[24] - t[43]/2 + t[44] + t[45] - 2*t[47] - 
       (13*t[48])/8 + (3*t[49])/16 + (13*t[50])/8 - (3*t[51])/32 - 
       (13*t[52])/8 - (3*t[53])/16 - t[54] + (27*t[60])/8 + (43*t[61])/8 - 
       (73*t[62])/16 + (17*t[63])/16 - (105*t[64])/16 - (125*t[65])/24 - 
       (179*t[66])/24 + 2*t[73] - t[74] - 3*t[75] + t[76] - t[78] - t[79] - 
       2*t[80] + t[81] - 2*t[82] + (3*t[83])/2 + (5*t[84])/8 - (5*t[85])/8 - 
       t[86] - (9*t[87])/8 - (9*t[88])/16 - (43*t[89])/16 + 6*t[98] - 
       6*t[99] - (27*t[100])/2) + F1[w, u, v]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*(-t[1]/4 + (3*t[2])/4 - (7*t[3])/8 - (11*t[4])/8 + 
       (57*t[5])/16 + (9*t[6])/4 - (31*t[7])/8 + t[8]/8 - (57*t[9])/16 - 
       (33*t[10])/16 + (17*t[11])/8 + (9*t[12])/4 + (277*t[13])/72 + 
       (121*t[14])/96 + (145*t[15])/96 + t[28] + t[33] - t[37]/2 + t[43]/2 - 
       t[44] + (3*t[48])/4 - (13*t[49])/16 - (3*t[50])/4 + (13*t[51])/32 + 
       (3*t[52])/4 + (13*t[53])/16 + (11*t[54])/8 + t[59]/2 + (31*t[60])/8 + 
       (91*t[61])/8 + (67*t[62])/16 - (7*t[63])/16 - (11*t[64])/16 - 
       (121*t[65])/24 - (175*t[66])/24 - t[69]/2 + 2*t[73] - t[74] - 
       2*t[75] + t[76] + (3*t[79])/4 + t[80] + (3*t[81])/2 - t[82]/2 - 
       (9*t[83])/4 + (11*t[84])/8 - (13*t[85])/8 - (27*t[86])/4 - 
       (5*t[87])/8 - (5*t[88])/16 - (43*t[89])/16 + 6*t[98] - 6*t[99] - 
       (27*t[100])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      (t[1]/4 + (11*t[2])/8 + (5*t[3])/8 + (5*t[4])/8 + t[5]/4 + 
       (21*t[6])/8 + (11*t[7])/4 + (13*t[8])/2 + (13*t[9])/8 - 
       (17*t[10])/16 + (55*t[11])/8 - (39*t[12])/16 + (149*t[13])/144 + 
       (343*t[14])/96 + (175*t[15])/48 - t[18]/2 - t[20] + t[22] + 
       (3*t[28])/2 - t[31]/2 - t[32]/2 + (3*t[33])/2 - (7*t[35])/2 - 
       t[37]/2 + t[43]/4 + t[44]/2 + (3*t[46])/4 - t[47] - (15*t[49])/16 + 
       t[50]/4 - (3*t[51])/32 - t[52]/4 + (15*t[53])/16 + (5*t[54])/8 + 
       t[59]/2 + (5*t[60])/2 + 7*t[61] + 6*t[62] - t[63]/4 - (51*t[64])/8 + 
       t[65]/8 + (25*t[66])/24 - t[69]/2 + t[70]/2 - t[71]/2 + t[74] - 
       (3*t[75])/2 + t[77]/2 - t[78]/2 - 2*t[79] + 3*t[80] - (3*t[81])/4 + 
       (7*t[82])/4 - (23*t[83])/4 + (11*t[84])/8 - (5*t[85])/4 - 8*t[86] - 
       t[87] - t[88]/2 - (11*t[89])/8 - t[99] - 13*t[100]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (t[1]/4 + (7*t[2])/2 + (11*t[3])/8 - t[4]/8 - (45*t[5])/8 + t[6]/4 + 
       (17*t[7])/4 + (7*t[8])/2 + (23*t[9])/8 - (95*t[10])/16 + (7*t[11])/2 + 
       (23*t[12])/16 + (97*t[13])/144 + (25*t[14])/32 + (151*t[15])/48 - 
       t[18]/2 - t[24] - t[28] + t[35]/2 - t[37]/2 + t[43]/4 + t[44] - 
       (3*t[47])/2 - (5*t[48])/8 - (13*t[49])/16 + t[50]/8 + (13*t[51])/32 - 
       t[52]/8 + (13*t[53])/16 + t[54]/2 + t[59]/2 + (7*t[60])/4 + 5*t[61] - 
       (153*t[62])/16 - (215*t[63])/16 - (33*t[64])/8 + (121*t[65])/24 + 
       (3*t[66])/8 - t[69]/2 + t[70]/2 - t[71]/2 - t[74]/2 - (7*t[75])/2 - 
       t[78]/2 - 2*t[79] + 2*t[80] - t[81] - t[82]/2 + 5*t[83] + 
       (3*t[84])/4 - t[85]/4 + 17*t[86] + (7*t[87])/4 + (7*t[88])/8 - 
       (9*t[89])/8 - t[99] - 13*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      K1[w, u, v]*(3*t[2] - t[3]/2 + (19*t[4])/4 + (11*t[5])/8 + 2*t[6] + 
       (9*t[7])/4 - (25*t[8])/4 + (25*t[9])/8 - (19*t[10])/8 + 6*t[11] - 
       t[12]/2 + (29*t[13])/8 + (235*t[14])/48 + (169*t[15])/48 + t[28] + 
       t[33] - t[37] - t[43]/2 + t[44] - (7*t[48])/4 + (5*t[49])/8 + 
       (7*t[50])/4 - (5*t[51])/16 - (7*t[52])/4 - (5*t[53])/8 - 2*t[54] + 
       (29*t[60])/4 + (45*t[61])/4 + (29*t[62])/8 + (55*t[63])/8 - 
       (195*t[64])/8 - (113*t[65])/12 - (37*t[66])/4 + t[73] - 2*t[75] - 
       2*t[83] + (5*t[84])/4 + t[85]/4 - 10*t[86] - (19*t[87])/4 - 
       (19*t[88])/8 - (37*t[89])/8 - 12*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[u, v, w]*(t[1]/2 + 2*t[2] - 
       (15*t[3])/4 + (3*t[4])/4 - (23*t[5])/8 - t[6]/2 - t[7]/4 - 
       (17*t[8])/4 + (19*t[9])/8 - (15*t[10])/8 + (33*t[11])/4 - 
       (19*t[12])/4 + (53*t[13])/9 + (251*t[14])/48 + (161*t[15])/48 - 
       t[37] + t[43]/2 - t[44] + t[45] - 2*t[47] - 2*t[48] - (3*t[49])/8 + 
       2*t[50] + (3*t[51])/16 - 2*t[52] + (3*t[53])/8 - (9*t[54])/4 - 
       t[59]/2 + 2*t[60] + (19*t[61])/2 - (13*t[62])/8 + (29*t[63])/8 + 
       t[64]/4 - (11*t[65])/2 - (97*t[66])/6 - t[69] + 6*t[80] - t[81]/2 + 
       t[82]/2 + (5*t[83])/2 + t[84]/4 - t[85]/2 - 3*t[86] - (5*t[89])/4 - 
       12*t[100]) + F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (t[1]/2 - (11*t[2])/4 + (13*t[3])/4 - 4*t[4] - (3*t[5])/2 - t[6]/2 + 
       (13*t[7])/4 - (39*t[8])/4 - (5*t[9])/4 + (17*t[10])/4 - (15*t[11])/4 + 
       (3*t[12])/4 + (53*t[13])/72 + t[14]/2 - 2*t[15] - t[28] - 2*t[30] - 
       2*t[31] - t[32] - t[33] + t[35] - t[37] - t[47] - t[48]/4 - 
       (5*t[49])/2 + t[50]/4 + (5*t[51])/4 - t[52]/4 + (5*t[53])/2 + 
       (19*t[54])/4 - (5*t[60])/2 + (7*t[61])/2 + t[62]/2 + (15*t[63])/2 - 
       (71*t[64])/4 + 9*t[65] - (7*t[66])/3 - t[69] + 2*t[72] - 4*t[75] + 
       t[77] - 2*t[78] - 2*t[79] + 3*t[80] - t[81] - 2*t[82] - 3*t[83] + 
       (3*t[84])/2 - 5*t[85] - 4*t[86] - (15*t[89])/4 - 4*t[99] - 
       10*t[100]) + HPL[{0, 1}, 1 - u]*J1[u, v, w]*
      ((-5*t[1])/16 - (7*t[2])/8 - (143*t[3])/32 + (49*t[4])/32 + 
       (5*t[5])/64 - (3*t[6])/8 + (51*t[7])/32 - (95*t[8])/32 + 
       (207*t[9])/64 + (207*t[10])/64 + (113*t[11])/32 + (5*t[12])/16 + 
       (23*t[13])/16 + (1861*t[14])/384 + (865*t[15])/384 + t[18]/8 - 
       (3*t[20])/4 + (3*t[22])/4 + (3*t[24])/4 + (11*t[28])/8 - (3*t[30])/4 + 
       t[32]/8 + (11*t[33])/8 - (9*t[35])/8 + (5*t[37])/8 - t[43]/4 - 
       t[44]/2 + (7*t[47])/8 - (27*t[48])/16 - (25*t[49])/64 + 
       (31*t[50])/16 + (25*t[51])/128 - (31*t[52])/16 + (25*t[53])/64 - 
       (21*t[54])/32 - t[59]/8 + (117*t[60])/32 + (349*t[61])/32 + 
       (41*t[62])/64 + (871*t[63])/64 + (65*t[64])/64 - (911*t[65])/96 - 
       (673*t[66])/96 + (5*t[69])/8 - t[70]/8 + t[71]/8 + (3*t[72])/4 + 
       (5*t[75])/4 - t[77]/8 - (3*t[78])/4 + 2*t[79] - (11*t[80])/4 + 
       t[81]/8 + t[82]/2 - (3*t[83])/4 + (43*t[84])/32 - (51*t[85])/32 - 
       (45*t[86])/4 - (67*t[87])/32 - (67*t[88])/64 - (153*t[89])/64 - 
       (15*t[99])/2 - (79*t[100])/8) + HPL[{0, 1}, 1 - v]*J1[w, u, v]*
      (t[1]/16 + (21*t[2])/16 - (31*t[3])/16 + (49*t[4])/32 - (145*t[5])/64 + 
       (55*t[6])/16 - (119*t[7])/32 + (99*t[8])/32 - (207*t[9])/64 - 
       (101*t[10])/64 + t[11]/2 + (15*t[12])/32 + (301*t[13])/576 + 
       (1229*t[14])/384 + (713*t[15])/384 + t[18]/8 + (3*t[20])/4 - 
       (3*t[22])/4 - (3*t[24])/4 - (5*t[28])/8 - (3*t[30])/4 + (5*t[32])/8 - 
       (5*t[33])/8 + (7*t[35])/8 - (15*t[37])/8 - t[43]/4 - t[44]/2 + 
       (11*t[47])/8 + (19*t[48])/32 - (25*t[49])/64 - (27*t[50])/32 + 
       (25*t[51])/128 + (27*t[52])/32 + (25*t[53])/64 + (17*t[54])/8 - 
       t[59]/8 + (93*t[60])/32 + (437*t[61])/32 - (215*t[62])/64 + 
       (391*t[63])/64 + (313*t[64])/64 - (307*t[65])/96 + (191*t[66])/96 - 
       t[69]/8 - t[70]/8 + t[71]/8 + (3*t[72])/4 + t[75]/4 - (5*t[77])/8 - 
       (3*t[78])/4 - (3*t[79])/4 + (11*t[80])/4 + t[81]/8 + (7*t[83])/16 + 
       (43*t[84])/32 - (35*t[85])/32 - (15*t[86])/4 + (13*t[87])/32 + 
       (13*t[88])/64 - (49*t[89])/64 - (15*t[99])/2 - (79*t[100])/8) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*(-t[1]/2 - (9*t[2])/4 + 
       (13*t[3])/16 + (61*t[4])/4 - (41*t[5])/4 + (33*t[6])/8 + 3*t[7] + 
       (21*t[8])/8 + 12*t[9] + (67*t[10])/8 + (57*t[11])/8 + 3*t[12] - 
       (3*t[13])/16 + (797*t[14])/48 + (1223*t[15])/288 - t[18] - 2*t[24] - 
       (9*t[29])/4 - t[30] + t[31] - t[32] + t[33] - t[34] + 2*t[35] + 
       t[36] - t[37] + (3*t[39])/4 - (3*t[40])/4 - 2*t[43] - (13*t[44])/8 + 
       t[45] - t[47] - (25*t[48])/8 + (17*t[49])/8 - t[50]/4 - 
       (21*t[51])/16 + t[52]/4 - (17*t[53])/8 - (7*t[54])/8 + (3*t[59])/2 + 
       (83*t[60])/4 + (53*t[61])/2 - (37*t[62])/16 + (73*t[63])/16 - 
       (95*t[64])/2 - (173*t[65])/12 - (9*t[66])/4 + t[69] + t[70] - t[71] - 
       t[72] + t[73] - t[74] - 4*t[75] - t[76] - 4*t[79] - 7*t[80] + t[81] - 
       (7*t[82])/2 + 8*t[83] + (5*t[84])/2 - (5*t[85])/4 - 8*t[86] - 
       (93*t[87])/8 - (93*t[88])/16 - (29*t[89])/4 - 20*t[98] + 14*t[99] - 
       9*t[100]) + F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      (-t[1]/4 + (61*t[2])/8 - (5*t[3])/8 + (21*t[4])/2 + (11*t[5])/4 + 
       (89*t[6])/16 + (5*t[7])/16 + (385*t[8])/16 - (41*t[9])/16 - 
       (217*t[10])/16 + (41*t[11])/4 - t[12] + (3371*t[13])/288 + 
       (55*t[14])/12 + (1657*t[15])/288 - t[18] - 2*t[20] + t[27] + 3*t[28] - 
       t[30] - (3*t[32])/2 + (7*t[33])/2 - t[35] - t[36]/2 - t[39]/2 + 
       t[40]/2 + t[41]/2 - t[42]/2 + t[43]/16 - 4*t[44] - 3*t[45] + 
       (3*t[46])/4 + (3*t[47])/2 + (35*t[48])/8 + (5*t[49])/8 - 
       (21*t[50])/8 - t[51]/2 + (21*t[52])/8 - (5*t[53])/8 + (31*t[54])/8 - 
       t[57] + (5*t[59])/4 + 6*t[60] + (93*t[61])/8 + (241*t[62])/16 - 
       (77*t[63])/16 - (77*t[64])/16 - (39*t[66])/4 + t[70] - t[71] - t[74] + 
       2*t[75] - 2*t[76] + t[77]/2 + 2*t[78] - 3*t[79] + (11*t[80])/2 - 
       t[81] + 5*t[82] - (3*t[83])/2 + (3*t[84])/2 - (7*t[85])/2 - 
       (15*t[86])/4 + t[87]/2 + t[88]/4 + t[89]/2 - 20*t[98] + 14*t[99] - 
       9*t[100]) + H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      ((-3*t[59])/2 - (11*t[60])/4 + (19*t[61])/4 + (17*t[62])/8 + 
       (87*t[63])/8 - (91*t[64])/8 + (3*t[65])/4 - (19*t[66])/4 - 
       (3*t[74])/2 + (3*t[75])/2 + 2*t[78] - 2*t[79] + 2*t[80] + 
       (3*t[81])/2 - t[82]/2 - (7*t[83])/4 + (3*t[84])/4 + (3*t[85])/4 - 
       2*t[86] - (13*t[87])/4 - (13*t[88])/8 - (13*t[89])/8 + 8*t[99] - 
       8*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*((3*t[1])/4 + (13*t[2])/2 + (9*t[3])/16 + (31*t[4])/8 - 
       (37*t[5])/32 - (23*t[6])/16 + (39*t[7])/16 + (301*t[8])/16 + 
       (425*t[9])/32 - (91*t[10])/16 + (69*t[11])/16 - (75*t[12])/32 - 
       (469*t[13])/288 + (473*t[14])/96 - (583*t[15])/192 - t[20] + 2*t[21] - 
       2*t[23] - t[26]/2 - t[27] + 3*t[28] - t[30] - t[32] + t[33] - t[34] - 
       t[35] + t[38]/2 + 2*t[39] + t[41] - t[42]/2 + (7*t[43])/8 + t[44] + 
       t[45]/4 + (3*t[47])/2 + (23*t[48])/8 + (15*t[49])/4 - (21*t[50])/8 - 
       (15*t[51])/8 + (21*t[52])/8 - (15*t[53])/4 - 2*t[54] + t[59]/4 + 
       (67*t[60])/8 + (117*t[61])/8 - (217*t[62])/16 - (179*t[63])/16 + 
       (145*t[64])/16 + (5*t[65])/6 - (135*t[66])/4 - t[69] - t[70] + t[71] + 
       2*t[72] + 4*t[73] + t[74] + 3*t[75] + 2*t[76] - t[77]/2 + 
       (3*t[78])/2 - t[79] + 6*t[80] + 6*t[81] - 9*t[82] + 7*t[83] + 
       (35*t[84])/8 + (13*t[85])/8 + 25*t[86] - (43*t[87])/8 - 
       (43*t[88])/16 - (145*t[89])/16 - 2*t[98] + 8*t[99] - 7*t[100]) + 
     H1[v, w, u]*HPL[{0, 1}, 1 - v]*(-t[1]/4 - (9*t[2])/4 - (13*t[3])/4 + 
       (11*t[4])/8 + (37*t[5])/16 - (13*t[6])/4 + (11*t[7])/8 - 
       (111*t[8])/8 + (91*t[9])/16 + (57*t[10])/16 + (7*t[11])/2 + 
       (21*t[12])/8 + (151*t[13])/144 - (11*t[14])/32 - (541*t[15])/96 + 
       (3*t[18])/2 + t[20] - t[22] + t[24] - (3*t[28])/2 + t[30] - t[32]/2 - 
       (3*t[33])/2 + (5*t[35])/2 + (7*t[37])/2 + t[47]/2 - (3*t[48])/8 + 
       (13*t[49])/16 + (3*t[50])/8 - (13*t[51])/32 - (3*t[52])/8 - 
       (13*t[53])/16 - 2*t[54] - (3*t[59])/2 + (43*t[60])/8 + (27*t[61])/8 - 
       (29*t[62])/16 + (61*t[63])/16 - (73*t[64])/16 - (77*t[65])/24 - 
       (133*t[66])/8 + t[69]/2 - (3*t[70])/2 + (3*t[71])/2 - t[72] + 
       2*t[74] + 5*t[75] + t[77]/2 + 3*t[78] + 5*t[79] - 5*t[80] + t[81]/2 - 
       t[82] - (15*t[83])/4 + t[84]/8 + (19*t[85])/8 - 3*t[86] - 
       (69*t[87])/8 - (69*t[88])/16 + (17*t[89])/16 + 14*t[99] - 
       (13*t[100])/2) + H1[v, w, u]*HPL[{0, 1}, 1 - u]*
      (t[1]/4 - (13*t[2])/2 - (13*t[3])/8 + (11*t[4])/8 + (47*t[5])/16 + 
       t[6] - (63*t[7])/8 + (11*t[8])/8 - (115*t[9])/16 + (101*t[10])/16 - 
       (9*t[11])/8 - (15*t[12])/4 + (101*t[13])/36 - (67*t[14])/32 - 
       (589*t[15])/96 + (3*t[18])/2 + t[20] - t[22] + t[24] - (3*t[28])/2 + 
       t[30] - t[32]/2 - (3*t[33])/2 + (5*t[35])/2 - t[37]/2 + (5*t[47])/2 + 
       (9*t[48])/4 + (13*t[49])/16 - (9*t[50])/4 - (13*t[51])/32 + 
       (9*t[52])/4 - (13*t[53])/16 + (5*t[54])/8 - (3*t[59])/2 - 
       (5*t[60])/8 + (19*t[61])/8 + (151*t[62])/16 + (137*t[63])/16 - 
       (73*t[64])/16 + (67*t[65])/24 - (251*t[66])/24 - t[69]/2 - 
       (3*t[70])/2 + (3*t[71])/2 - t[72] + 2*t[74] + 3*t[75] + t[77]/2 + 
       3*t[78] + 4*t[79] + 3*t[80] + t[81]/2 + t[82] - 5*t[83] + t[84]/8 + 
       (19*t[85])/8 - 19*t[86] - (37*t[87])/8 - (37*t[88])/16 + 
       (49*t[89])/16 + 14*t[99] - (13*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[w, u, v]*((3*t[2])/4 + (9*t[3])/32 + 
       (63*t[4])/32 + (9*t[5])/64 + (23*t[6])/16 - (13*t[7])/32 + 
       (21*t[8])/32 + (43*t[9])/64 - (3*t[10])/64 + (39*t[11])/32 - 
       (21*t[12])/32 + (209*t[13])/288 + (671*t[14])/384 + (1057*t[15])/384 + 
       (3*t[28])/4 + t[31]/8 + (3*t[33])/4 - t[35]/8 - (7*t[37])/8 - 
       (5*t[43])/16 + t[44]/8 - t[47]/8 - t[48]/16 + (9*t[49])/64 + 
       t[50]/16 - (9*t[51])/128 - t[52]/16 - (9*t[53])/64 + (9*t[54])/32 + 
       (89*t[60])/32 + (125*t[61])/32 + (237*t[62])/64 + (219*t[63])/64 - 
       (751*t[64])/64 - (245*t[65])/96 - (13*t[66])/32 - (7*t[74])/8 - 
       t[75]/8 - t[78]/8 + t[79]/2 + t[80]/2 - t[81]/2 + (5*t[82])/8 - 
       (19*t[83])/16 + (17*t[84])/32 - (11*t[85])/32 - (21*t[86])/4 - 
       (43*t[87])/32 - (43*t[88])/64 - (97*t[89])/64 - (3*t[99])/4 - 
       (51*t[100])/8) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[u, v, w]*
      ((3*t[2])/2 - (9*t[3])/8 + (15*t[4])/32 - (269*t[5])/64 - t[6]/4 - 
       (7*t[7])/32 + (23*t[8])/32 + (133*t[9])/64 - (47*t[10])/64 + 
       (11*t[11])/4 - (15*t[12])/16 + (929*t[13])/576 + (919*t[14])/384 + 
       (127*t[15])/128 - t[28]/8 + t[32]/8 - t[33]/8 + t[43]/16 - 
       (5*t[44])/8 - (23*t[48])/32 - (15*t[49])/64 + (23*t[50])/32 + 
       (15*t[51])/128 - (23*t[52])/32 + (15*t[53])/64 - (3*t[54])/8 + 
       (89*t[60])/32 + (133*t[61])/32 - (63*t[62])/64 + (151*t[63])/64 - 
       (343*t[64])/64 - (55*t[65])/32 - (659*t[66])/96 - (7*t[74])/8 - 
       t[75]/4 - t[77]/8 - t[78]/8 - t[79]/4 + t[80]/4 - t[81]/2 + t[82]/2 + 
       (7*t[83])/8 + (17*t[84])/32 - (11*t[85])/32 + (5*t[86])/4 - 
       (43*t[87])/32 - (43*t[88])/64 - (57*t[89])/64 - (3*t[99])/4 - 
       (51*t[100])/8) + G[u, v, w]*HPL[{1}, 1 - w]^2*
      ((3*t[2])/4 - t[3]/8 + (5*t[4])/4 + (15*t[5])/8 + t[6]/2 - t[7]/2 - 
       (7*t[8])/4 - (3*t[9])/8 - (5*t[10])/8 + (23*t[11])/8 - t[12]/2 + 
       (221*t[13])/144 + (101*t[14])/48 + (5*t[15])/6 - t[35]/2 - t[37]/2 + 
       t[45]/2 - (3*t[47])/2 - (5*t[48])/8 + t[49]/8 + (5*t[50])/8 - 
       t[51]/16 - (5*t[52])/8 - t[53]/8 - (7*t[54])/8 - t[59]/4 + 
       (9*t[60])/4 + (13*t[61])/2 - (11*t[62])/8 + (19*t[63])/8 - 
       (3*t[64])/8 - (5*t[65])/3 - (25*t[66])/6 - t[69]/2 + t[70]/2 - 
       t[71]/2 + t[73]/2 + t[74]/2 - (3*t[75])/2 + t[80] + t[81]/2 - 
       t[82]/2 + t[83]/4 + t[84]/2 + t[85]/4 - 5*t[86] - (5*t[87])/4 - 
       (5*t[88])/8 - (9*t[89])/8 - 6*t[100]) + F1[w, u, v]*HPL[{1}, 1 - v]^3*
      ((-2*t[1])/3 - t[3]/2 + (10*t[4])/3 - (7*t[5])/8 - (3*t[6])/16 + 
       (19*t[7])/12 - (29*t[8])/12 + (17*t[9])/8 - t[10]/12 - (13*t[11])/48 - 
       (3*t[12])/4 - (53*t[13])/72 + (253*t[14])/72 - (125*t[15])/144 + 
       t[25] - t[26]/2 - t[27]/2 + t[37]/6 - t[38]/2 + t[44] - 
       (11*t[46])/12 + (9*t[48])/16 + (29*t[49])/12 + t[50]/16 - 
       (13*t[51])/48 - t[52]/16 - (29*t[53])/12 - (17*t[54])/16 + t[59]/2 + 
       (97*t[60])/24 + (43*t[61])/8 - (119*t[62])/48 + (163*t[63])/48 - 
       (257*t[64])/48 - (23*t[65])/4 - (37*t[66])/6 + t[69]/2 - t[70]/3 + 
       t[71]/3 + t[73]/2 - t[74]/3 - (3*t[75])/2 + t[76]/2 - t[78] - 
       t[79]/3 + (3*t[81])/4 - (3*t[82])/4 + (7*t[83])/6 + t[84]/4 + 
       (3*t[85])/8 + t[86]/3 - (73*t[87])/24 - (73*t[88])/48 - 
       (33*t[89])/16 + 3*t[98] - 6*t[99] - 6*t[100]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]^3*((3*t[3])/4 - (11*t[4])/4 + (31*t[5])/16 - 
       (3*t[6])/4 + (5*t[7])/8 + t[8]/8 - (19*t[9])/16 - 3*t[10] + 
       (5*t[11])/8 + (3*t[12])/16 - (61*t[13])/72 - (11*t[14])/6 - 
       (11*t[15])/32 + t[36]/2 + t[43]/2 - t[49]/8 + t[51]/16 + t[53]/8 - 
       (3*t[54])/4 - (13*t[60])/4 - 2*t[61] - 3*t[62] - (5*t[63])/2 + 
       (45*t[64])/4 - t[65]/2 - t[66]/3 + t[72]/2 + t[73]/2 - (5*t[75])/2 + 
       t[76]/2 - t[77]/2 - 2*t[78] + (3*t[79])/2 + 2*t[80] + (23*t[83])/6 - 
       (3*t[84])/4 + (3*t[85])/4 + (15*t[86])/2 + (7*t[87])/4 + (7*t[88])/8 - 
       t[89] + 3*t[98] - 6*t[99] - 6*t[100]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*(t[1]/4 - (11*t[2])/8 + (13*t[3])/8 - 
       2*t[4] - (3*t[5])/4 - t[6]/4 + (13*t[7])/8 - (39*t[8])/8 - 
       (5*t[9])/8 + (17*t[10])/8 - (15*t[11])/8 + (3*t[12])/8 + 
       (53*t[13])/144 + t[14]/4 - t[15] - t[28]/2 - t[30] - t[31] - t[32]/2 - 
       t[33]/2 + t[35]/2 - t[37]/2 - t[47]/2 - t[48]/8 - (5*t[49])/4 + 
       t[50]/8 + (5*t[51])/8 - t[52]/8 + (5*t[53])/4 + (19*t[54])/8 - 
       (5*t[60])/4 + (7*t[61])/4 + t[62]/4 + (15*t[63])/4 - (71*t[64])/8 + 
       (9*t[65])/2 - (7*t[66])/6 - t[69]/2 + t[72] - 2*t[75] + t[77]/2 - 
       t[78] - t[79] + (3*t[80])/2 - t[81]/2 - t[82] - (3*t[83])/2 + 
       (3*t[84])/4 - (5*t[85])/2 - 2*t[86] - (15*t[89])/8 - 2*t[99] - 
       5*t[100]) + F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      (4*t[4] + t[5]/8 - (3*t[6])/2 + (11*t[7])/4 - (29*t[8])/4 + 
       (17*t[9])/8 + t[10]/4 + (5*t[11])/4 - (17*t[12])/8 + (23*t[14])/24 - 
       (19*t[15])/48 - t[36] + t[44] - (3*t[48])/2 + 2*t[49] + (3*t[50])/2 - 
       t[51]/2 - (3*t[52])/2 - 2*t[53] - (3*t[54])/2 + 9*t[60] + 
       (25*t[61])/2 + t[62]/2 - t[63] - (69*t[64])/4 - (43*t[65])/6 - 
       (13*t[66])/2 - (3*t[73])/2 + 7*t[75] + 3*t[78] - t[79] - t[80] + 
       t[81] - t[82] - (3*t[83])/2 + (3*t[84])/2 - (3*t[85])/2 - 3*t[86] - 
       (13*t[87])/2 - (13*t[88])/4 - (13*t[89])/4 - 2*t[98] + 6*t[99] - 
       5*t[100]) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      ((3*t[1])/4 + t[3]/2 - 7*t[4] + (7*t[5])/2 - t[6]/8 + (7*t[7])/8 - 
       t[8]/8 - (5*t[9])/2 - (17*t[10])/8 - (3*t[11])/8 - 2*t[12] - t[13]/9 - 
       (215*t[14])/48 + (13*t[15])/12 - t[25] + t[26]/2 - t[37]/2 + t[38]/2 + 
       t[43]/2 + t[46]/4 - (3*t[48])/8 - (3*t[49])/2 + (5*t[50])/8 + 
       (11*t[51])/16 - (5*t[52])/8 + (3*t[53])/2 - t[54]/8 - (3*t[59])/4 - 
       5*t[60] + (7*t[61])/4 + (9*t[62])/4 - (23*t[63])/4 + 13*t[64] + 
       (37*t[65])/12 + (35*t[66])/4 - (3*t[69])/2 + t[70] - t[71] + t[73]/2 + 
       t[74]/2 + 3*t[75] + t[76] + 2*t[78] + (3*t[79])/2 + 4*t[80] - 
       t[81]/2 + t[82]/2 - t[83]/2 - t[84]/4 - (5*t[85])/2 + (11*t[86])/2 + 
       4*t[87] + 2*t[88] - t[89] - 2*t[98] + 6*t[99] - 5*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - v]^3*(t[1]/3 - t[2]/2 - (5*t[3])/8 + 
       (11*t[5])/16 + (7*t[6])/4 - (9*t[7])/4 - (5*t[8])/2 - (17*t[9])/16 + 
       (5*t[10])/2 + (11*t[11])/8 - (21*t[12])/16 + (67*t[13])/144 + 
       (139*t[14])/48 + (175*t[15])/96 - t[21]/2 + t[23]/2 - t[35]/2 - 
       t[41]/4 + t[42]/4 + (3*t[45])/2 - 4*t[47] + t[50]/4 - t[52]/4 + 
       t[54]/4 + t[59]/3 + (11*t[60])/4 + 5*t[61] + (43*t[62])/8 + 
       (53*t[63])/8 - (25*t[64])/2 - (65*t[65])/24 - (15*t[66])/8 + t[69]/2 - 
       (3*t[79])/2 - 3*t[80] + t[81]/4 - t[82]/4 - (3*t[83])/4 + 
       (5*t[84])/8 + t[85]/4 - (21*t[86])/2 - 2*t[87] - t[88] - (7*t[89])/4 - 
       (9*t[100])/2) + F1[v, w, u]*HPL[{1}, 1 - u]^3*
      ((-3*t[3])/4 - (3*t[5])/16 - t[6]/4 + (7*t[7])/8 - t[8]/8 + 
       (7*t[9])/16 - (3*t[10])/8 + (5*t[11])/8 + (3*t[12])/16 + 
       (5*t[14])/16 + (163*t[15])/288 + t[20]/2 - (3*t[28])/2 + t[32]/2 - 
       t[33] + t[35] - t[48]/4 + t[50]/4 - t[52]/4 - t[54]/4 - t[60] + 
       (5*t[61])/4 - (15*t[62])/8 + (3*t[63])/8 + (7*t[64])/8 + t[65]/4 - 
       (13*t[66])/12 + t[69]/2 + t[73]/2 - (5*t[75])/2 + t[79]/2 + 
       (13*t[83])/4 + (3*t[86])/2 + t[87] + t[88]/2 - (5*t[89])/8 - 
       (9*t[100])/2) + A10[w, u, v]*HPL[{1}, 1 - u]*
      (-t[5] + 2*t[7] + 2*t[8] + t[9] - 2*t[10] + 2*t[11] + t[12] + t[14]/3 - 
       t[15]/6 - 2*t[28] - (3*t[60])/2 + (9*t[61])/2 - (25*t[62])/4 + 
       (5*t[63])/4 + (19*t[64])/4 - 3*t[65] - 4*t[66] + t[81] + t[82] + 
       2*t[83] - (3*t[85])/2 + 8*t[86] + (3*t[87])/2 + (3*t[88])/4 - 
       (7*t[89])/4 - 4*t[100]) + C27[u, v, w]*((-9*t[2])/4 + (3*t[3])/2 - 
       (15*t[5])/8 + (19*t[6])/4 - t[7] + 14*t[8] - (23*t[9])/8 - 
       (7*t[10])/2 + (9*t[11])/2 - (11*t[12])/8 + (19*t[13])/4 + 
       (65*t[14])/24 - (17*t[15])/48 - t[17]/2 + 2*t[24] + 3*t[33] - 
       2*t[39] - (5*t[48])/4 - (17*t[50])/4 + (17*t[52])/4 + (17*t[54])/4 + 
       t[55] + (23*t[60])/4 + (5*t[61])/2 + (13*t[62])/8 - t[63]/8 - 
       (21*t[64])/4 - (22*t[65])/3 - 12*t[66] + t[68] - t[81]/2 + 
       (9*t[82])/2 + t[84]/2 + (17*t[85])/4 - (21*t[87])/4 - (21*t[88])/8 + 
       (5*t[89])/4 - 4*t[100]) + A10[w, u, v]*HPL[{1}, 1 - v]*
      ((3*t[2])/2 - t[3] - 13*t[4] + t[5] - (15*t[6])/8 - t[7] - 15*t[8] - 
       (5*t[9])/2 + 2*t[10] - (87*t[11])/8 + t[12]/4 - (47*t[13])/12 - 
       (13*t[14])/12 + (7*t[15])/3 + t[16] - t[25] + t[26] + 2*t[27] + 
       2*t[28] + 2*t[36] + t[39] - t[46]/2 - (11*t[48])/8 - (7*t[49])/2 + 
       (5*t[50])/8 + (11*t[51])/8 - (5*t[52])/8 + (7*t[53])/2 + 
       (51*t[54])/8 - (23*t[60])/4 + (15*t[61])/2 - (9*t[62])/8 + 
       (61*t[63])/8 + (19*t[64])/4 + (25*t[65])/6 + (7*t[66])/2 - t[68] + 
       (3*t[81])/2 - (3*t[82])/2 - t[83] - (25*t[85])/4 - 4*t[86] + 
       (25*t[87])/4 + (25*t[88])/8 - (11*t[89])/4 + t[93] - 4*t[100]) + 
     A10[v, w, u]*HPL[{1}, 1 - v]*((9*t[2])/4 - t[3]/2 + 2*t[4] + 
       (77*t[5])/8 + 2*t[6] - t[7]/2 - 4*t[8] - (23*t[9])/8 - 3*t[10] - 
       (5*t[11])/4 - (3*t[12])/8 - (13*t[13])/6 - (61*t[14])/24 - t[15]/48 + 
       t[17]/2 - 2*t[24] - 2*t[27] - 3*t[33] + 2*t[39] - t[46] + 
       (7*t[48])/2 + (3*t[49])/2 + (7*t[50])/2 - (7*t[52])/2 - (3*t[53])/2 - 
       (9*t[54])/2 - t[56] - (23*t[60])/4 + (15*t[61])/2 - (9*t[62])/8 + 
       (61*t[63])/8 + (19*t[64])/4 + (25*t[65])/6 + (7*t[66])/2 - t[68] + 
       (3*t[81])/2 - (3*t[82])/2 - t[83] - (25*t[85])/4 - 4*t[86] + 
       (25*t[87])/4 + (25*t[88])/8 - (11*t[89])/4 + t[93] - 4*t[100]) + 
     A10[u, v, w]*HPL[{1}, 1 - u]*((-3*t[2])/4 + t[3]/2 + 2*t[4] + 
       (19*t[5])/8 + (13*t[6])/4 - t[7]/2 + (9*t[8])/2 - (53*t[9])/8 - 
       (9*t[10])/2 + (9*t[11])/2 - (29*t[12])/8 - t[13]/6 - (15*t[14])/8 + 
       (71*t[15])/16 - t[17]/2 + 2*t[24] - 2*t[27] + 2*t[28] + t[33] - 
       t[46] + (15*t[48])/4 + (3*t[49])/2 + (7*t[50])/4 - (7*t[52])/4 - 
       (3*t[53])/2 - (11*t[54])/4 - (17*t[60])/4 + 8*t[61] - (7*t[62])/8 + 
       (35*t[63])/8 + (7*t[64])/2 + (5*t[65])/2 + t[66]/6 + t[68] + t[81]/2 - 
       (5*t[82])/2 - t[83] - (19*t[85])/4 - 4*t[86] + (19*t[87])/4 + 
       (19*t[88])/8 - (5*t[89])/2 + t[93] - 4*t[100]) + 
     C27[v, w, u]*((9*t[2])/4 - (5*t[3])/2 - (35*t[4])/4 + (3*t[5])/4 - 
       (47*t[6])/8 + 2*t[7] - 20*t[8] + 3*t[9] + (39*t[10])/8 - 
       (105*t[11])/8 + (9*t[12])/8 - 2*t[13] + (7*t[14])/48 + (59*t[15])/24 + 
       t[16] + t[17]/2 - 2*t[24] + t[27] - 2*t[33] + 2*t[36] + t[39] - 
       (23*t[48])/8 - (27*t[49])/8 + (25*t[50])/8 + (27*t[51])/16 - 
       (25*t[52])/8 + (27*t[53])/8 + (29*t[54])/8 - (31*t[60])/4 + 
       (3*t[61])/2 - (19*t[62])/8 - (65*t[63])/8 + (19*t[64])/4 + 
       (29*t[65])/6 + (67*t[66])/6 - t[67] - 3*t[68] - 2*t[74] + t[81]/2 - 
       (5*t[82])/2 - t[84]/2 - (29*t[85])/4 + (33*t[87])/4 + (33*t[88])/8 + 
       (5*t[89])/4 - t[92] + t[93] + t[94] - 4*t[100]) + 
     F1[u, v, w]*HPL[{0, 0, 1}, 1 - w]*((-11*t[1])/4 - (7*t[2])/4 + 2*t[3] + 
       (17*t[4])/4 + (15*t[5])/8 - 3*t[6] - (133*t[7])/8 - (295*t[8])/8 - 
       (25*t[9])/4 + (35*t[10])/4 - (143*t[11])/8 - (47*t[12])/4 - 
       (1483*t[13])/144 - (31*t[14])/48 + (89*t[15])/12 - 2*t[18] - t[19] - 
       t[20] - 3*t[21] + 3*t[23] - 2*t[24] + 2*t[25] - t[26] - 2*t[27] - 
       t[28] + 2*t[29] + 2*t[30] + 2*t[31] - (3*t[34])/2 + 2*t[35] - 
       2*t[36] - 3*t[37] - (5*t[38])/2 + t[40] - (9*t[41])/4 + (5*t[42])/4 + 
       (31*t[43])/8 + (17*t[45])/4 + (5*t[46])/2 - (29*t[47])/2 - 
       (29*t[48])/8 + t[49]/8 - t[50]/8 - (37*t[51])/16 - (3*t[52])/8 - 
       (5*t[53])/8 - (27*t[54])/8 - t[58] + (7*t[59])/4 + (29*t[60])/4 + 
       (29*t[61])/4 + (469*t[62])/8 + (471*t[63])/8 - (279*t[64])/4 - 
       (635*t[65])/12 + (173*t[66])/4 + 4*t[70] - 4*t[71] - 2*t[72] - t[73] + 
       2*t[74] + 13*t[75] - t[76] + 2*t[77] + (11*t[78])/2 - 8*t[79] - 
       9*t[80] - t[82] - 5*t[83] - (5*t[84])/4 - 59*t[86] - 21*t[87] - 
       (21*t[88])/2 - (173*t[89])/8 + t[97]/2 - 4*t[98] - 4*t[100]) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - w]*((7*t[1])/4 + (17*t[2])/2 - 
       (123*t[3])/8 - 7*t[4] + (59*t[5])/4 + (15*t[6])/8 - t[7]/4 + 
       (111*t[8])/4 - t[9]/4 + (61*t[10])/4 - (13*t[11])/8 + (29*t[12])/4 - 
       (503*t[13])/72 + (377*t[14])/48 + (419*t[15])/144 + t[19] + t[20] + 
       t[21] - t[22] - t[23] + 4*t[27] - 2*t[28] - (3*t[29])/2 - 2*t[30] + 
       t[31] + (15*t[32])/2 - t[33] - (5*t[34])/2 + t[35] + t[38]/2 + 
       t[39]/2 - 2*t[40] + (5*t[41])/4 - (5*t[42])/4 + (3*t[44])/4 + 
       2*t[45] - 2*t[47] + (23*t[48])/8 + t[49] + (11*t[50])/8 - 
       (5*t[51])/16 + (9*t[52])/8 + t[53] - (3*t[54])/8 + t[59]/4 + 
       (9*t[60])/4 + (21*t[61])/2 - (65*t[62])/4 - (121*t[63])/4 + 
       (7*t[64])/4 - (55*t[65])/3 + (27*t[66])/4 + 2*t[70] - 2*t[71] + 
       4*t[72] + t[73] + t[74] - t[75] + (5*t[76])/2 - (5*t[78])/2 + 
       2*t[79] + 2*t[80] - 7*t[81] + 8*t[82] + 12*t[83] - (13*t[84])/2 - 
       7*t[85] + 2*t[86] + t[87]/2 + (39*t[88])/4 - (69*t[89])/8 - 2*t[95] + 
       t[96] + (7*t[97])/2 - 4*t[98] - 4*t[100]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((11*t[1])/4 + (9*t[2])/8 - (21*t[3])/4 + (39*t[4])/8 - (41*t[5])/8 - 
       (117*t[6])/16 + (267*t[7])/16 - (133*t[8])/16 + (235*t[9])/16 - 
       (25*t[10])/2 + (173*t[11])/8 + (11*t[12])/16 + (323*t[13])/32 + 
       (337*t[14])/32 + (605*t[15])/288 + t[18] + t[21] - t[23] - t[25] + 
       t[26]/2 + t[27] - t[28] - (5*t[29])/4 - 2*t[30] - t[32]/2 - t[33]/2 + 
       t[34] - (7*t[36])/2 - 2*t[37] + t[38] - t[39]/2 + t[40]/2 + t[41]/4 + 
       t[42]/4 - (15*t[43])/16 - (3*t[44])/4 - t[45]/8 + (3*t[46])/2 + 
       (15*t[47])/4 - (27*t[48])/4 + (47*t[49])/16 + (37*t[50])/8 - 
       (55*t[51])/32 - (45*t[52])/8 - (47*t[53])/16 - (29*t[54])/4 - t[59] + 
       (141*t[60])/8 + (119*t[61])/4 - (131*t[62])/16 - (309*t[63])/16 - 
       (31*t[64])/8 + (17*t[65])/4 - (211*t[66])/6 - 2*t[69] - 2*t[70] + 
       2*t[71] + t[72] + 6*t[75] + (5*t[76])/2 - t[77] + (3*t[78])/2 + 
       t[79] + 9*t[80] + (3*t[81])/2 + t[82]/2 + 6*t[83] + (5*t[84])/2 + 
       4*t[85] + (19*t[86])/2 - (113*t[87])/8 - (113*t[88])/16 + 
       (3*t[89])/16 + 8*t[98] - 6*t[99] - 4*t[100]) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*(t[1] + (15*t[2])/4 + 
       (139*t[3])/16 - t[4]/8 + (65*t[5])/4 - (7*t[6])/2 + 6*t[7] - 
       (181*t[8])/8 - 11*t[9] - (135*t[10])/16 + (31*t[11])/8 - 
       (101*t[12])/16 + (535*t[13])/144 - (955*t[14])/96 + (1423*t[15])/288 + 
       t[24] - 2*t[25] + t[26] + t[28] + (3*t[29])/4 + (3*t[30])/2 - 
       (9*t[32])/4 + t[34]/2 - 2*t[35] + t[36]/2 - t[37]/2 + t[38] + 
       t[39]/2 + t[40]/2 + (5*t[43])/4 + (13*t[44])/8 + (9*t[45])/8 - 
       t[46]/4 - (11*t[47])/4 - (49*t[48])/8 + (23*t[49])/16 + (39*t[50])/8 - 
       (5*t[51])/32 - (51*t[52])/8 - (23*t[53])/16 - (109*t[54])/8 - 
       t[59]/2 - (45*t[60])/8 + (77*t[61])/8 + (515*t[62])/16 + 
       (233*t[63])/16 - (219*t[64])/16 - (89*t[65])/8 + (305*t[66])/24 - 
       t[70] + t[71] - 2*t[72] + 2*t[73] - t[74]/2 + 6*t[75] + 3*t[76] + 
       2*t[78] - 2*t[79] + 4*t[80] + t[81]/4 + t[82]/2 - (5*t[83])/2 - 
       (19*t[84])/8 - t[85] - (77*t[86])/4 - (3*t[87])/4 - (39*t[88])/8 - 
       (117*t[89])/16 + t[95] + t[96] - t[97]/2 + 8*t[98] - 6*t[99] - 
       4*t[100]) + F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (-t[1]/2 - (13*t[2])/4 - (17*t[3])/4 + (3*t[4])/4 - (15*t[5])/4 - 
       (143*t[6])/16 + (87*t[7])/4 - (93*t[8])/4 + (201*t[9])/8 + 
       (17*t[10])/8 + (107*t[11])/16 + (63*t[12])/8 + (5*t[13])/6 + 
       (67*t[14])/12 - (71*t[15])/48 - (3*t[29])/4 + (15*t[30])/4 - 
       (3*t[32])/4 - t[33]/4 + t[34] + t[35] + t[36] + 3*t[37] + 2*t[44] - 
       t[47] - (101*t[48])/16 - (3*t[49])/8 + (107*t[50])/16 + (3*t[51])/16 - 
       (107*t[52])/16 + (3*t[53])/8 - (95*t[54])/16 + (79*t[60])/8 + 
       (49*t[61])/8 - (99*t[62])/16 + (83*t[63])/16 - (319*t[64])/16 + 
       (5*t[65])/8 - (407*t[66])/24 + t[69] - 3*t[72] + 2*t[73] - 2*t[74] - 
       2*t[75] - t[76] + t[77] + 6*t[78] + t[79] - 5*t[80] + t[81]/2 - 
       (3*t[82])/2 + (5*t[83])/2 + (7*t[84])/8 + (5*t[85])/8 + 7*t[86] - 
       (33*t[87])/8 - (33*t[88])/16 - (31*t[89])/16 - 6*t[98] + 26*t[99] - 
       4*t[100]) + F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (t[1]/2 - (5*t[2])/4 + (47*t[3])/8 - t[4]/4 + (195*t[5])/16 + 8*t[6] - 
       11*t[7] + (85*t[8])/4 - (361*t[9])/16 - (25*t[10])/8 - (17*t[11])/4 - 
       (57*t[12])/16 + (1081*t[13])/144 - (49*t[14])/6 + (95*t[15])/96 - 
       t[24] + t[27] - t[28] - t[29] + 2*t[30] - t[32] - t[33] + t[35] - 
       t[37] - t[41]/2 + t[42]/2 + (7*t[43])/8 + t[45] + t[46]/2 - 3*t[47] + 
       (31*t[48])/8 - (5*t[49])/8 - (33*t[50])/8 - t[51]/16 + (33*t[52])/8 + 
       (5*t[53])/8 + (27*t[54])/8 - t[59]/2 - t[60] - (31*t[61])/2 + 
       (181*t[62])/8 - (65*t[63])/8 - (69*t[64])/8 + (43*t[65])/3 + 
       (3*t[66])/2 - t[69] - 2*t[72] + t[73] - 2*t[74] - t[75] + 2*t[78] - 
       4*t[79] + (15*t[80])/2 - t[81]/2 + (17*t[82])/4 - 9*t[83] - 
       (3*t[84])/4 + t[85] - (15*t[86])/2 + t[87]/2 + t[88]/4 + (7*t[89])/4 - 
       6*t[98] + 26*t[99] - 4*t[100]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      Phi6[u, v, w]*((-3*t[3])/4 - (3*t[5])/16 - t[6]/4 + (7*t[7])/8 - 
       t[8]/8 + (7*t[9])/16 - (3*t[10])/8 + (5*t[11])/8 + (3*t[12])/16 + 
       (5*t[14])/16 + (19*t[15])/32 + t[20]/2 - (3*t[28])/2 + t[32]/2 - 
       t[33] + t[35] - t[48]/4 + t[50]/4 - t[52]/4 - t[54]/4 + t[59]/2 + 
       t[60] + (7*t[61])/4 - (15*t[62])/8 - (37*t[63])/8 - (47*t[64])/8 - 
       t[65]/9 - (5*t[66])/3 + t[69]/2 + t[73]/2 + t[74]/2 - 4*t[75] - 
       t[78] + t[79]/2 - t[81] + (11*t[83])/2 - t[84]/4 - t[85]/2 + 
       (3*t[86])/2 + 2*t[87] + t[88] - (15*t[89])/8 - 2*t[99] - 
       (19*t[100])/6) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Phi6[u, v, w]*
      (t[1]/4 - t[2]/2 - (5*t[3])/8 + t[4]/2 + (11*t[5])/16 + (7*t[6])/4 - 
       (9*t[7])/4 - (5*t[8])/2 - (17*t[9])/16 + (11*t[10])/4 + (11*t[11])/8 - 
       (25*t[12])/16 + (5*t[13])/48 + (157*t[14])/48 + (167*t[15])/96 - 
       t[21]/2 + t[23]/2 - t[35]/2 - t[41]/4 + t[42]/4 + (3*t[45])/2 - 
       4*t[47] + t[49]/4 + t[50]/4 - t[51]/8 - t[52]/4 - t[53]/4 + t[54]/4 + 
       (3*t[59])/4 + (59*t[60])/12 + (11*t[61])/3 + (53*t[62])/12 + 
       (13*t[63])/4 - (41*t[64])/4 - (97*t[65])/24 - (47*t[66])/72 + 
       t[69]/2 + t[74]/2 - (5*t[75])/6 - t[78] - (5*t[79])/6 - (11*t[80])/3 - 
       (3*t[81])/4 + (3*t[82])/4 - (5*t[83])/6 + (3*t[84])/8 - t[85]/4 - 
       (59*t[86])/6 - (3*t[87])/2 - (3*t[88])/4 - (7*t[89])/4 - 2*t[99] - 
       (19*t[100])/6) + F1[v, w, u]*HPL[{1}, 1 - w]^3*
      (-t[3] + (5*t[4])/8 - t[5]/8 - (3*t[6])/4 + (7*t[7])/4 - 3*t[8] + 
       (13*t[9])/8 - (5*t[10])/16 + (17*t[11])/8 + t[12]/16 + (5*t[13])/6 + 
       (149*t[14])/96 + t[15]/36 - t[48] + t[49]/16 + t[50] - t[51]/32 - 
       t[52] - t[53]/16 - (9*t[54])/8 + (13*t[60])/8 + (29*t[61])/8 - 
       (35*t[62])/16 + (23*t[63])/16 - (17*t[64])/16 - (17*t[65])/12 - 
       (23*t[66])/6 + t[73]/2 - (3*t[75])/2 + t[81]/4 - t[82]/4 + t[83] + 
       t[84]/4 + t[85]/8 - (9*t[87])/8 - (9*t[88])/16 - (15*t[89])/16 - 
       3*t[100]) + F1[u, v, w]*HPL[{1}, 1 - w]^3*((-3*t[2])/8 - t[3]/4 + 
       (5*t[4])/8 + (13*t[5])/8 + t[6] - (11*t[7])/8 - (3*t[8])/8 - 
       (3*t[9])/2 - (11*t[10])/16 + (9*t[11])/8 - (5*t[12])/16 + 
       (43*t[13])/36 + (77*t[14])/96 + (15*t[15])/16 - t[37]/2 + t[45]/2 - 
       (3*t[47])/2 + t[49]/16 - t[51]/32 - t[53]/16 - t[54]/8 + (9*t[60])/8 + 
       (29*t[61])/8 + (29*t[62])/16 + (31*t[63])/16 - (37*t[64])/16 - 
       (3*t[65])/4 - (20*t[66])/9 - t[79]/2 + t[80] + t[81]/4 - t[82]/4 - 
       t[83]/2 + t[84]/4 + t[85]/8 - (9*t[86])/2 - (5*t[87])/8 - 
       (5*t[88])/16 - (11*t[89])/16 - 3*t[100]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      (-t[1]/4 - (37*t[2])/8 + t[3]/4 + (5*t[4])/8 - (7*t[5])/16 - 3*t[6] + 
       (11*t[7])/2 - (19*t[8])/4 + (109*t[9])/16 + (53*t[10])/16 + 
       (13*t[12])/8 - (239*t[13])/144 - (143*t[14])/96 - (343*t[15])/96 - 
       t[28]/2 + t[30] - t[32]/2 - t[33]/2 + (3*t[35])/2 + 2*t[37] + 
       t[41]/4 - t[42]/4 - t[48]/8 + (7*t[49])/16 + t[50]/8 - (7*t[51])/32 - 
       t[52]/8 - (7*t[53])/16 - t[54] - t[59]/2 + (15*t[60])/8 - 
       (33*t[61])/8 - (85*t[62])/16 - (47*t[63])/16 + (97*t[64])/16 + 
       (29*t[65])/12 - (25*t[66])/6 + t[69]/2 - t[72] + t[75]/2 + t[77]/2 + 
       t[78] + t[79]/2 - 3*t[80] + t[81]/4 - (7*t[82])/4 - (3*t[84])/4 + 
       (5*t[85])/8 + 7*t[86] - (13*t[87])/8 - (13*t[88])/16 + (35*t[89])/16 + 
       10*t[99] - (5*t[100])/2) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w]*(t[1]/4 - (21*t[2])/8 + (23*t[3])/8 + (5*t[4])/8 + 
       (35*t[5])/16 + (11*t[6])/4 - 4*t[7] + (27*t[8])/4 - (125*t[9])/16 + 
       (21*t[10])/16 - (25*t[11])/8 - 2*t[12] + (19*t[13])/24 - 
       (109*t[14])/32 - (355*t[15])/96 + t[18]/6 - t[28]/2 + t[30] - 
       t[32]/2 - t[33]/2 + t[35]/2 + t[41]/4 - t[42]/4 + 3*t[48] + 
       (7*t[49])/16 - 3*t[50] - (7*t[51])/32 + 3*t[52] - (7*t[53])/16 + 
       (17*t[54])/8 + (19*t[60])/8 - (37*t[61])/8 + (149*t[62])/16 + 
       (23*t[63])/16 + (29*t[64])/16 + (19*t[65])/3 + (17*t[66])/6 - 
       t[69]/2 - t[72] + t[75]/2 + t[77]/2 + t[78] - t[79]/2 + t[80] - 
       t[81]/4 + (3*t[82])/4 - (27*t[83])/4 + (5*t[85])/8 - (13*t[86])/2 - 
       (17*t[87])/8 - (17*t[88])/16 + (43*t[89])/16 + 10*t[99] - 
       (5*t[100])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*((11*t[1])/4 - (9*t[2])/4 - (87*t[3])/16 - t[4]/8 - 
       (45*t[5])/8 - (113*t[6])/32 + (5*t[7])/16 + (67*t[8])/16 + 
       (43*t[9])/8 - (13*t[10])/2 + (547*t[11])/32 + (57*t[12])/16 + 
       (1151*t[13])/96 + (11*t[14])/4 + (787*t[15])/288 + t[18] + t[21] - 
       t[23] - t[25] + t[26]/2 + t[27] - (5*t[30])/4 - (5*t[32])/4 + 
       t[33]/4 + t[34]/2 - t[35] - 2*t[36] - 2*t[37] + t[38] + t[41]/4 + 
       t[42]/4 - (15*t[43])/16 - t[44] - t[45]/8 + (5*t[46])/4 + 
       (17*t[47])/4 - (29*t[48])/32 - (37*t[49])/16 + (27*t[50])/32 + 
       (15*t[51])/32 - (59*t[52])/32 + (37*t[53])/16 - (87*t[54])/32 - 
       t[59]/4 + (77*t[60])/16 + (461*t[61])/16 + (29*t[62])/32 - 
       (685*t[63])/32 + (369*t[64])/32 + (1495*t[65])/48 - (1291*t[66])/48 - 
       2*t[69] - 2*t[70] + 2*t[71] + t[72] + 3*t[73] + t[74] + t[75] + 
       (9*t[76])/2 + t[77] - (3*t[78])/2 + 5*t[79] + 9*t[80] + (5*t[81])/2 - 
       2*t[82] + (3*t[83])/2 + (59*t[84])/16 + (35*t[85])/16 + (3*t[86])/2 - 
       (65*t[87])/16 - (65*t[88])/32 + (303*t[89])/32 + 22*t[98] - 28*t[99] - 
       2*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w]*(-t[1]/4 + t[2]/8 + (73*t[3])/8 + (21*t[4])/2 + 
       (159*t[5])/32 - 2*t[6] + (13*t[7])/16 - (285*t[8])/16 - 
       (103*t[9])/32 - (55*t[10])/8 + (157*t[11])/16 - (57*t[12])/32 + 
       (349*t[13])/48 - (67*t[14])/12 - (1291*t[15])/576 + t[24] + t[28] + 
       (3*t[29])/4 + t[30]/2 - t[31] - (11*t[32])/4 + t[33]/2 + t[34]/2 - 
       3*t[35] - t[37]/2 + t[40] + t[41]/4 - t[42]/4 - (5*t[43])/8 + 
       (13*t[44])/8 - (9*t[45])/4 - t[46] + (9*t[47])/2 - (35*t[48])/8 + 
       (35*t[49])/16 + (17*t[50])/8 - (27*t[51])/32 - (29*t[52])/8 - 
       (35*t[53])/16 - (79*t[54])/8 + t[59]/2 - (55*t[60])/8 + (61*t[61])/4 + 
       (227*t[62])/8 + (157*t[63])/8 - (147*t[64])/8 - (145*t[65])/12 + 
       (4*t[66])/3 - t[70] + t[71] - 2*t[72] + 4*t[73] - (3*t[74])/2 + 
       5*t[76] + t[77] - 3*t[78] - t[79] + (9*t[81])/4 - (5*t[82])/4 - 
       7*t[83] - (15*t[84])/8 + t[85]/2 - 28*t[86] - (5*t[87])/4 - 
       (41*t[88])/8 - (151*t[89])/16 + t[95] + t[96] - t[97]/2 + 22*t[98] - 
       28*t[99] - 2*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*Phi6[u, v, w]*(-t[1]/2 - (3*t[2])/8 + (19*t[3])/8 - 
       (37*t[5])/8 + (5*t[6])/4 - (41*t[7])/8 + (51*t[8])/4 - (3*t[9])/2 + 
       (33*t[10])/8 - (61*t[11])/8 + (5*t[12])/2 - (749*t[13])/144 - 
       (11*t[14])/3 - (109*t[15])/48 - t[35]/2 + t[37] - t[43]/2 - t[44] - 
       t[45] + 2*t[47] + (29*t[48])/8 - (29*t[50])/8 + (29*t[52])/8 + 
       (37*t[54])/8 + t[59]/4 - (25*t[61])/4 + (5*t[62])/2 - (31*t[63])/4 - 
       (97*t[64])/8 + (47*t[65])/6 + (67*t[66])/6 + t[69]/2 + t[70]/2 - 
       t[71]/2 - t[73] - 2*t[74] + (3*t[75])/2 + (5*t[79])/4 - (11*t[80])/2 - 
       t[81]/2 + t[82]/2 - 3*t[83] + t[84]/2 - t[85]/4 + (23*t[86])/4 - 
       (5*t[87])/4 - (5*t[88])/8 + (11*t[89])/4 + 4*t[99] - 2*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[v, w, u]*((-5*t[59])/8 - 
       (45*t[60])/16 - (11*t[61])/16 + (31*t[62])/32 + (153*t[63])/32 - 
       (29*t[64])/32 + (13*t[65])/16 - (13*t[66])/16 - (5*t[74])/8 + 
       (13*t[75])/8 + (3*t[78])/2 - t[79]/2 + t[80]/2 + (13*t[81])/8 - 
       (7*t[82])/8 - (41*t[83])/16 + (5*t[84])/16 + (13*t[85])/16 - t[86]/2 - 
       (35*t[87])/16 - (35*t[88])/32 + (21*t[89])/32 + 6*t[99] - 2*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*
      ((-3*t[2])/4 - (3*t[3])/2 + (9*t[4])/4 + (75*t[5])/16 - t[6]/4 + 
       (19*t[7])/8 - (29*t[8])/8 + (41*t[9])/16 + t[10]/8 + (9*t[11])/8 + 
       (5*t[12])/16 + (211*t[13])/144 + (37*t[14])/48 - (3*t[15])/32 + 
       t[28]/2 - t[32]/2 + t[33]/2 - t[43]/4 + t[44]/2 - t[47] - 
       (5*t[48])/8 + (3*t[49])/4 + (5*t[50])/8 - (3*t[51])/8 - (5*t[52])/8 - 
       (3*t[53])/4 - (13*t[54])/8 + t[60] - t[61]/2 - t[62]/2 - (5*t[63])/4 - 
       (43*t[64])/8 - (13*t[65])/24 - (347*t[66])/72 + t[73]/2 + t[74]/2 - 
       t[75]/2 + t[77]/2 + t[78]/2 - 2*t[79] - t[80] + (5*t[81])/4 - 
       (5*t[82])/4 - t[83]/2 + t[84]/8 + t[85] - 2*t[86] - (9*t[87])/4 - 
       (9*t[88])/8 - t[89]/8 + 3*t[99] - (3*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*
      ((-9*t[2])/8 + (21*t[3])/8 + t[4]/4 - (15*t[5])/16 + t[6]/4 - 
       (5*t[7])/2 - (7*t[8])/4 - (55*t[9])/16 - t[10]/2 + (7*t[11])/4 - 
       (27*t[12])/16 + (79*t[13])/72 + (13*t[14])/48 - (67*t[15])/96 - 
       t[28] - t[31]/2 - t[33] + t[35]/2 + t[43]/4 - t[44]/2 + t[45]/2 - 
       t[47] + t[48]/4 + t[49]/4 - t[50]/4 - t[51]/8 + t[52]/4 - t[53]/4 - 
       (3*t[54])/4 - t[60]/2 + t[61]/2 + t[62]/4 - t[63]/2 + (15*t[64])/8 + 
       (35*t[65])/24 - (19*t[66])/8 + t[74]/2 - t[75]/2 + t[78]/2 + t[79]/2 + 
       t[80] + (5*t[81])/4 - (7*t[82])/4 + t[83]/4 + t[84]/8 + t[85] - 
       (5*t[86])/2 - (3*t[87])/4 - (3*t[88])/8 + (9*t[89])/8 + 3*t[99] - 
       (3*t[100])/2) + H1[w, u, v]*HPL[{0, 1}, 1 - v]*
      (-t[1]/4 - (5*t[2])/4 - (5*t[3])/4 + (31*t[4])/8 - (175*t[5])/16 + 
       (13*t[6])/4 - (73*t[7])/8 + (61*t[8])/8 - (49*t[9])/16 + 
       (53*t[10])/16 - 4*t[11] + (9*t[12])/8 - (199*t[13])/48 + 
       (355*t[14])/96 - (185*t[15])/96 - t[18]/2 + t[20] - t[22] - t[24] - 
       (3*t[28])/2 - t[30] + (3*t[32])/2 - (3*t[33])/2 + t[35]/2 - t[37]/2 - 
       t[43] - 2*t[44] + (5*t[47])/2 + (13*t[48])/8 + (9*t[49])/16 - 
       (21*t[50])/8 - (9*t[51])/32 + (21*t[52])/8 - (9*t[53])/16 + 
       (7*t[54])/2 + t[59]/2 + (3*t[60])/8 + (107*t[61])/8 - (41*t[62])/16 - 
       (7*t[63])/16 + (87*t[64])/16 - (31*t[65])/8 + (59*t[66])/8 + t[69]/2 + 
       t[70]/2 - t[71]/2 + t[72] - t[75] - (3*t[77])/2 - t[78] - t[79] - 
       3*t[80] + (3*t[81])/2 - 2*t[82] + (33*t[83])/4 + (5*t[84])/8 + 
       (3*t[85])/8 - t[86] + (19*t[87])/8 + (19*t[88])/16 - (15*t[89])/16 - 
       10*t[99] - t[100]/2) + H1[u, v, w]*HPL[{0, 1}, 1 - u]*
      ((-3*t[1])/4 - t[2]/2 - (41*t[3])/8 + (31*t[4])/8 + (91*t[5])/16 + 
       (9*t[6])/2 - (67*t[7])/8 + (47*t[8])/8 - (79*t[9])/16 + 
       (97*t[10])/16 - (33*t[11])/8 + (7*t[12])/4 - (5*t[13])/36 + 
       (57*t[14])/32 + (69*t[15])/32 - t[18]/2 - t[20] + t[22] + t[24] + 
       (5*t[28])/2 - t[30] - t[32]/2 + (5*t[33])/2 - (7*t[35])/2 + 
       (3*t[37])/2 - t[43] - 2*t[44] + t[47]/2 + (11*t[48])/4 + 
       (9*t[49])/16 - (7*t[50])/4 - (9*t[51])/32 + (7*t[52])/4 - 
       (9*t[53])/16 + (21*t[54])/8 + t[59]/2 - (5*t[60])/8 - (13*t[61])/8 + 
       (247*t[62])/16 + (185*t[63])/16 + (191*t[64])/16 - (209*t[65])/24 + 
       (43*t[66])/8 + (3*t[69])/2 + t[70]/2 - t[71]/2 + t[72] + 3*t[75] + 
       t[77]/2 - t[78] + 4*t[79] - 9*t[80] + (3*t[81])/2 - 5*t[83] + 
       (5*t[84])/8 - (13*t[85])/8 - 23*t[86] + (3*t[87])/8 + (3*t[88])/16 + 
       (41*t[89])/16 - 10*t[99] - t[100]/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      J1[w, u, v]*(-t[59]/8 + t[60]/16 - (9*t[61])/16 - (17*t[62])/32 + 
       (57*t[63])/32 + (101*t[64])/32 + (11*t[65])/16 + (7*t[66])/48 - 
       t[74]/8 + t[75]/8 - t[81]/8 - (5*t[82])/8 + (15*t[83])/16 + t[84]/16 - 
       t[85]/16 + (11*t[87])/16 + (11*t[88])/32 + (27*t[89])/32 - 3*t[99] + 
       t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[u, v, w]*
      (-t[59]/8 - (3*t[60])/16 - t[61]/16 - (31*t[62])/32 + (87*t[63])/32 + 
       (353*t[64])/32 - (13*t[65])/48 + (27*t[66])/16 - t[74]/8 + 
       (5*t[75])/8 + t[79]/2 - t[80]/2 - t[81]/8 + (7*t[82])/8 - 
       (13*t[83])/16 + t[84]/16 - t[85]/16 + t[86]/2 + (11*t[87])/16 + 
       (11*t[88])/32 + (39*t[89])/32 - 3*t[99] + t[100]) + 
     H1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(-2*t[2] + t[3]/2 + 
       (13*t[4])/8 + (93*t[5])/16 + 2*t[6] - (9*t[7])/8 + (9*t[8])/8 - 
       (53*t[9])/16 + (19*t[10])/16 - (5*t[11])/2 + t[12] + (55*t[13])/144 - 
       (73*t[14])/32 - (39*t[15])/32 + t[28]/2 - t[32]/2 + t[33]/2 - 
       t[43]/4 + t[44]/2 + (15*t[48])/8 + (11*t[49])/16 - (15*t[50])/8 - 
       (11*t[51])/32 + (15*t[52])/8 - (11*t[53])/16 + t[54] - (13*t[60])/8 - 
       (25*t[61])/8 + (59*t[62])/16 - (83*t[63])/16 + (59*t[64])/16 + 
       (53*t[65])/24 + (43*t[66])/24 + (3*t[74])/2 + t[75] + t[77]/2 + 
       t[78]/2 + t[79] - t[80] + t[81] - t[82] - (7*t[83])/2 - t[84]/8 + 
       (7*t[85])/8 - 5*t[86] - t[87]/8 - t[88]/16 + (37*t[89])/16 + 3*t[99] + 
       (3*t[100])/2) + H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      ((-3*t[2])/2 + (7*t[3])/8 - (3*t[4])/8 - (41*t[5])/16 - (7*t[6])/4 + 
       t[7]/8 - t[8]/8 + (13*t[9])/16 + (15*t[10])/16 + (5*t[11])/8 + 
       (3*t[12])/8 + (7*t[13])/72 - (83*t[14])/96 - (529*t[15])/96 - t[28] - 
       t[31]/2 - t[33] + t[35]/2 + (3*t[37])/2 + t[43]/4 - t[44]/2 + 
       t[47]/2 + t[48]/4 + (3*t[49])/16 - t[50]/4 - (3*t[51])/32 + t[52]/4 - 
       (3*t[53])/16 - (5*t[54])/8 - (13*t[60])/8 - (17*t[61])/8 - 
       (97*t[62])/16 - (103*t[63])/16 + (227*t[64])/16 + (23*t[65])/8 - 
       (27*t[66])/8 + (3*t[74])/2 + t[75]/2 + t[78]/2 - 2*t[80] + t[81] - 
       (3*t[82])/2 + (3*t[83])/4 - t[84]/8 + (7*t[85])/8 + 7*t[86] - 
       t[87]/8 - t[88]/16 + (45*t[89])/16 + 3*t[99] + (3*t[100])/2) + 
     HPL[{0, 1, 1, 1}, 1 - w]*Phi6[u, v, w]*(-14*t[2] - (5*t[3])/4 - t[4]/2 - 
       9*t[5] - 7*t[6] + (35*t[7])/2 - (19*t[8])/2 + 14*t[9] - (11*t[10])/4 + 
       (15*t[11])/4 + (21*t[12])/4 - (131*t[13])/72 + (95*t[14])/24 - 
       (37*t[15])/8 - t[18] + 14*t[35] + t[37] + t[41]/2 - t[42]/2 + t[47] - 
       (21*t[48])/4 + t[49]/4 + (21*t[50])/4 - t[51]/8 - (21*t[52])/4 - 
       t[53]/4 - (23*t[54])/4 + (3*t[59])/2 + (25*t[60])/2 - 14*t[61] - 
       (47*t[62])/4 + (59*t[63])/4 - (19*t[64])/4 - (29*t[65])/3 - 
       (14*t[66])/3 + 3*t[69] - 2*t[70] + 2*t[71] - 8*t[74] + t[75] - 
       7*t[79] - t[80] - (5*t[83])/2 + 21*t[86] - 13*t[87] - (13*t[88])/2 - 
       (15*t[89])/4 + 2*t[100]) + F1[u, v, w]*HPL[{1}, 1 - u]^3*
      (t[3] + t[5]/24 + t[6]/12 - t[7]/4 - (23*t[8])/12 + (25*t[9])/24 + 
       t[10]/12 - t[11]/6 - t[12]/24 + (5*t[14])/72 - (95*t[15])/144 + 
       (2*t[28])/3 - t[44]/6 + t[48]/12 - t[50]/12 + t[52]/12 + t[54]/12 + 
       (7*t[60])/6 - t[61]/3 + (5*t[62])/12 - (9*t[63])/4 - t[64]/3 - 
       t[65]/6 + (5*t[66])/18 + (2*t[75])/3 - t[79]/3 - t[83] - t[86]/3 - 
       t[87]/6 - t[88]/12 + t[89]/6 + 2*t[100]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]^3*(t[3]/6 - t[4]/2 + (5*t[5])/12 - 
       (5*t[6])/24 + (5*t[7])/2 + t[8]/6 - t[9]/2 - (11*t[10])/6 - 
       (7*t[11])/8 - t[12]/12 + (37*t[13])/108 - (53*t[14])/72 + t[15]/36 - 
       t[31]/6 + t[35]/6 - t[43]/12 - t[48]/24 + (7*t[50])/24 - 
       (7*t[52])/24 - (7*t[54])/24 + t[60]/12 - (29*t[61])/12 - 
       (29*t[62])/24 - (127*t[63])/24 + (37*t[64])/24 + (4*t[65])/9 + 
       (11*t[66])/9 + t[79]/3 - t[80]/3 - t[81]/6 + t[82]/6 + t[83]/3 - 
       t[84]/6 - t[85]/4 + (8*t[86])/3 + (7*t[87])/12 + (7*t[88])/24 + 
       (3*t[89])/8 + 2*t[100]) + HPL[{1}, 1 - w]^2*K1[u, v, w]*
      ((3*t[2])/8 + t[3]/4 - (5*t[4])/8 - (13*t[5])/8 - t[6] + (11*t[7])/8 + 
       (11*t[8])/8 + (3*t[9])/2 + (11*t[10])/16 - (9*t[11])/8 + 
       (5*t[12])/16 - (53*t[13])/36 - (77*t[14])/96 - (53*t[15])/48 + 
       t[37]/2 - t[45]/2 + (3*t[47])/2 - t[49]/16 + t[51]/32 + t[53]/16 + 
       t[54]/8 - (9*t[60])/8 - (33*t[61])/8 - (37*t[62])/16 - (31*t[63])/16 + 
       (53*t[64])/16 + (3*t[65])/4 + (10*t[66])/3 + t[79]/2 - t[80] - 
       t[81]/4 + t[82]/4 + t[83]/2 - t[84]/4 - t[85]/8 + (9*t[86])/2 + 
       (5*t[87])/8 + (5*t[88])/16 + (11*t[89])/16 + 3*t[100]) + 
     HPL[{1}, 1 - w]^2*K1[w, u, v]*((-5*t[4])/8 + t[5]/8 + (3*t[6])/4 - 
       (7*t[7])/4 + 4*t[8] - (13*t[9])/8 + (5*t[10])/16 - (17*t[11])/8 - 
       t[12]/16 - (2*t[13])/3 - (149*t[14])/96 + (5*t[15])/12 + t[48] - 
       t[49]/16 - t[50] + t[51]/32 + t[52] + t[53]/16 + (9*t[54])/8 - 
       (13*t[60])/8 - (33*t[61])/8 + (27*t[62])/16 - (23*t[63])/16 + 
       (33*t[64])/16 + (17*t[65])/12 + (19*t[66])/6 - t[73]/2 + (3*t[75])/2 - 
       t[81]/4 + t[82]/4 - t[83] - t[84]/4 - t[85]/8 + (9*t[87])/8 + 
       (9*t[88])/16 + (15*t[89])/16 + 3*t[100]) + HPL[{0, 1}, 1 - w]*
      J1[u, v, w]*((-5*t[1])/16 + (17*t[2])/16 - (15*t[3])/8 + (5*t[4])/2 + 
       (29*t[5])/32 - (9*t[6])/16 + (7*t[7])/2 - t[8]/4 + (217*t[9])/32 - 
       (49*t[10])/16 + (41*t[11])/16 + (35*t[12])/32 + (3*t[13])/8 + 
       t[14]/4 - (23*t[15])/64 - t[18]/8 + (3*t[20])/4 - (3*t[22])/4 - 
       (3*t[24])/4 - t[28]/8 + (3*t[30])/4 + (5*t[31])/4 + t[32]/8 - 
       t[33]/8 - t[35]/8 + (5*t[37])/8 - t[43]/4 + t[44]/2 - (5*t[47])/8 - 
       (15*t[48])/16 + (19*t[49])/16 + (11*t[50])/16 - (19*t[51])/32 - 
       (11*t[52])/16 - (19*t[53])/16 - (41*t[54])/16 - t[59]/8 + 
       (43*t[60])/16 - (5*t[61])/16 - (179*t[62])/32 - (49*t[63])/32 + 
       (311*t[64])/32 - (25*t[65])/6 - (47*t[66])/8 + (5*t[69])/8 + t[70]/8 - 
       t[71]/8 - (3*t[72])/4 - t[74]/4 + (11*t[75])/4 - t[77]/8 + 
       (3*t[78])/4 + (7*t[79])/4 - (11*t[80])/4 + t[81]/4 + (15*t[82])/8 + 
       (23*t[83])/16 - t[84]/2 + (33*t[85])/16 + (23*t[86])/4 - 
       (17*t[87])/16 - (17*t[88])/32 + (49*t[89])/32 + (3*t[99])/2 + 
       (13*t[100])/4) + HPL[{0, 1}, 1 - w]*J1[w, u, v]*
      (-t[1]/16 + (17*t[2])/16 - t[3]/2 + t[4]/2 - (3*t[5])/32 + 
       (19*t[6])/16 - (25*t[7])/4 + (37*t[8])/4 - (199*t[9])/32 - 
       (5*t[10])/16 - t[11]/16 - (45*t[12])/32 - (15*t[13])/16 - 
       (31*t[14])/24 + (109*t[15])/64 - t[18]/8 - (3*t[20])/4 + (3*t[22])/4 + 
       (3*t[24])/4 + (7*t[28])/8 + (3*t[30])/4 + t[31]/4 + (5*t[32])/8 + 
       (7*t[33])/8 - (9*t[35])/8 + t[37]/8 + t[43]/4 - t[44]/2 + 
       (11*t[47])/8 + (23*t[48])/16 + (11*t[49])/16 - (19*t[50])/16 - 
       (11*t[51])/32 + (19*t[52])/16 - (11*t[53])/16 - (11*t[54])/16 - 
       t[59]/8 - (17*t[60])/16 - (45*t[61])/16 + (147*t[62])/32 - 
       (71*t[63])/32 + (179*t[64])/32 - (7*t[65])/8 + (29*t[66])/4 + 
       t[69]/8 + t[70]/8 - t[71]/8 - (3*t[72])/4 - t[74]/4 + t[75]/4 - 
       (5*t[77])/8 + (3*t[78])/4 - (3*t[79])/4 + (3*t[80])/4 + t[81]/4 - 
       t[82]/8 + (7*t[83])/16 - t[84]/2 + (25*t[85])/16 - (7*t[86])/4 + 
       (23*t[87])/16 + (23*t[88])/32 + (53*t[89])/32 + (3*t[99])/2 + 
       (13*t[100])/4) + H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (t[59]/2 - t[60]/4 + (9*t[61])/4 + t[62]/8 - (41*t[63])/8 - 
       (37*t[64])/8 - t[65]/12 - (7*t[66])/12 + t[74]/2 - t[75]/2 + t[81]/2 - 
       (3*t[82])/2 + (17*t[83])/4 - t[84]/4 + t[85]/4 + (5*t[87])/4 + 
       (5*t[88])/8 - (11*t[89])/8 - 4*t[99] + 4*t[100]) + 
     H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*(t[59]/2 - (5*t[60])/4 - 
       (23*t[61])/4 - (17*t[62])/8 - (7*t[63])/8 + (199*t[64])/8 - 
       (11*t[65])/12 + (71*t[66])/12 + t[74]/2 + (3*t[75])/2 + 2*t[79] - 
       2*t[80] + t[81]/2 + t[82]/2 - (11*t[83])/4 - t[84]/4 + t[85]/4 + 
       2*t[86] + (5*t[87])/4 + (5*t[88])/8 + (33*t[89])/8 - 4*t[99] + 
       4*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[u, v, w]*
      ((3*t[2])/8 - (147*t[3])/32 - (45*t[4])/32 + (237*t[5])/64 - 
       (5*t[6])/16 + (67*t[7])/32 + (45*t[8])/32 + (143*t[9])/64 - 
       (15*t[10])/64 - (69*t[11])/32 + (87*t[12])/32 - (191*t[13])/288 - 
       (365*t[14])/384 - (115*t[15])/384 + (3*t[28])/4 + (5*t[31])/8 + 
       (3*t[33])/4 - (5*t[35])/8 + t[37]/8 - t[43]/16 + (5*t[44])/8 - 
       (5*t[47])/8 - (5*t[48])/16 - (27*t[49])/64 + (5*t[50])/16 + 
       (27*t[51])/128 - (5*t[52])/16 + (27*t[53])/64 + (21*t[54])/32 - 
       (11*t[60])/32 + (25*t[61])/32 - (87*t[62])/64 + (15*t[63])/64 + 
       (349*t[64])/64 - (73*t[65])/96 + (31*t[66])/32 + t[74]/8 + 
       (7*t[75])/8 - (5*t[78])/8 - 2*t[79] - t[80]/2 - t[81] + (13*t[82])/8 + 
       t[83]/16 - (11*t[84])/32 - (31*t[85])/32 + (9*t[86])/4 + 
       (49*t[87])/32 + (49*t[88])/64 - (77*t[89])/64 - (15*t[99])/4 + 
       (33*t[100])/8) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[w, u, v]*
      ((-3*t[2])/8 + (15*t[3])/8 - (93*t[4])/32 - (193*t[5])/64 - t[6]/2 - 
       (23*t[7])/32 + (7*t[8])/32 - (223*t[9])/64 + (5*t[10])/64 - 
       (5*t[11])/4 + (9*t[12])/16 - (1475*t[13])/576 - (469*t[14])/384 - 
       (93*t[15])/128 - (5*t[28])/8 + (5*t[32])/8 - (5*t[33])/8 + 
       (5*t[43])/16 - t[44]/8 + (3*t[47])/2 + (5*t[48])/32 - (51*t[49])/64 - 
       (5*t[50])/32 + (51*t[51])/128 + (5*t[52])/32 + (51*t[53])/64 + 
       (9*t[54])/8 - (59*t[60])/32 + (65*t[61])/32 - (99*t[62])/64 + 
       (107*t[63])/64 + (757*t[64])/64 + (13*t[65])/32 + (283*t[66])/32 + 
       t[74]/8 - (5*t[75])/4 - (5*t[77])/8 - (5*t[78])/8 + (13*t[79])/4 + 
       (5*t[80])/4 - t[81] + t[82] + (11*t[83])/8 - (11*t[84])/32 - 
       (31*t[85])/32 + (7*t[86])/4 + (97*t[87])/32 + (97*t[88])/64 - 
       (21*t[89])/64 - (15*t[99])/4 + (33*t[100])/8) + 
     HPL[{1}, 1 - u]^2*K1[v, w, u]*(-t[3]/4 + (3*t[5])/16 + t[6]/4 - 
       (7*t[7])/8 + (9*t[8])/8 - (15*t[9])/16 + (3*t[10])/8 - (5*t[11])/8 - 
       (3*t[12])/16 - (5*t[14])/16 + (7*t[15])/96 - t[20]/2 + (3*t[28])/2 - 
       t[32]/2 + t[33] - t[35] + t[48]/4 - t[50]/4 + t[52]/4 + t[54]/4 + 
       t[60] - (5*t[61])/4 + (15*t[62])/8 + (5*t[63])/8 - (7*t[64])/8 - 
       t[65]/4 + (13*t[66])/12 - t[69]/2 - t[73]/2 + (5*t[75])/2 - t[79]/2 - 
       (13*t[83])/4 - (3*t[86])/2 - t[87] - t[88]/2 + (5*t[89])/8 + 
       (9*t[100])/2) + HPL[{1}, 1 - v]^2*K1[v, w, u]*
      (-t[1]/4 + t[2]/2 + (5*t[3])/8 - t[4] - (11*t[5])/16 - (9*t[6])/4 + 
       (5*t[7])/4 + (5*t[8])/2 + (17*t[9])/16 - (3*t[10])/2 - (11*t[11])/8 + 
       (29*t[12])/16 - (5*t[13])/48 - (139*t[14])/48 - (175*t[15])/96 + 
       t[21]/2 - t[23]/2 + t[35]/2 + t[41]/4 - t[42]/4 - (3*t[45])/2 + 
       4*t[47] - t[50]/4 + t[52]/4 - t[54]/4 - t[59]/4 - (11*t[60])/4 - 
       5*t[61] - (43*t[62])/8 - (37*t[63])/8 + 13*t[64] + (65*t[65])/24 + 
       (37*t[66])/24 - t[69]/2 + (3*t[79])/2 + 3*t[80] - t[81]/4 + t[82]/4 + 
       (3*t[83])/4 - (5*t[84])/8 - t[85]/4 + (21*t[86])/2 + 2*t[87] + t[88] + 
       (7*t[89])/4 + (9*t[100])/2) + F1[w, u, v]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((27*t[2])/8 - (5*t[3])/4 + (13*t[4])/4 + 
       (91*t[5])/8 + (13*t[6])/4 - (9*t[7])/8 + (13*t[8])/8 - t[9] - 
       (13*t[10])/4 - (3*t[11])/2 - (9*t[12])/8 + (175*t[13])/72 - 
       (7*t[14])/48 + (7*t[15])/8 + t[24] + t[28] - t[32] + t[33] - t[43]/2 + 
       t[44] - t[45]/2 - t[47]/2 + t[48]/4 + (11*t[49])/8 - t[50]/4 - 
       (11*t[51])/16 + t[52]/4 - (11*t[53])/8 - (3*t[54])/2 - (17*t[60])/8 - 
       (23*t[61])/8 + (61*t[62])/8 - (29*t[63])/8 - (273*t[64])/16 - 
       (71*t[65])/24 - (11*t[66])/8 + t[73]/2 + 3*t[74] + t[75]/2 + t[77] + 
       t[78] - (21*t[79])/4 - 2*t[80] + (7*t[81])/4 - (7*t[82])/4 - 2*t[83] - 
       t[84]/2 + (9*t[85])/8 - (31*t[86])/4 - (13*t[87])/8 - (13*t[88])/16 - 
       (29*t[89])/16 + 6*t[99] + (9*t[100])/2) + F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*((-3*t[2])/8 + 3*t[3] - (3*t[4])/4 - (31*t[5])/8 - 
       4*t[6] + (13*t[7])/8 - (85*t[8])/8 + (3*t[9])/2 + (3*t[10])/2 + 
       4*t[11] - (33*t[12])/8 + (23*t[13])/36 + (85*t[14])/48 - 
       (5*t[15])/12 - 3*t[28] - t[31] - 3*t[33] + t[35] + t[37]/2 + t[43]/2 - 
       t[44] + t[45]/2 - t[47]/2 - (9*t[48])/4 + (3*t[49])/8 + (9*t[50])/4 - 
       (3*t[51])/16 - (9*t[52])/4 - (3*t[53])/8 - 4*t[54] - (13*t[60])/4 - 
       t[61]/4 - (19*t[62])/8 + (31*t[63])/8 - (7*t[64])/8 + (5*t[65])/12 - 
       (79*t[66])/12 - t[73]/2 + 3*t[74] + t[75]/2 + t[78] + (7*t[79])/2 + 
       t[80] + 2*t[81] - 3*t[82] + 7*t[83] - t[84]/4 + (7*t[85])/4 - 
       (5*t[86])/2 - t[87]/4 - t[88]/8 + (5*t[89])/8 + 6*t[99] + 
       (9*t[100])/2) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-31*t[2])/4 - t[3]/4 + (3*t[4])/4 + (9*t[5])/8 + 3*t[6] - 
       (13*t[7])/2 - 5*t[8] - (27*t[9])/8 + (39*t[10])/8 - (17*t[11])/4 + 
       3*t[12] - (3*t[13])/4 - (197*t[14])/48 - (99*t[15])/16 + 2*t[19] - 
       2*t[21] + 2*t[23] - t[31] + 4*t[35] - t[37] + t[41]/2 - t[42]/2 - 
       t[43]/2 - t[44] - t[46] + 3*t[47] + t[48] - (15*t[49])/8 - t[50] + 
       (19*t[51])/16 + t[52] + (15*t[53])/8 + (19*t[54])/4 + t[59] - 
       (3*t[60])/2 + t[61]/2 + (13*t[62])/2 + (23*t[63])/2 + (71*t[64])/4 - 
       (13*t[65])/6 + (43*t[66])/3 + 2*t[69] - t[74] + t[75] + 4*t[79] - 
       5*t[80] + 2*t[82] - 6*t[83] + t[84]/2 - (7*t[85])/2 - 14*t[86] + 
       t[87]/2 + t[88]/4 - (3*t[89])/4 - 4*t[99] + 5*t[100]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-39*t[2])/4 - 5*t[3] + (11*t[4])/4 - (17*t[5])/8 + t[6] - 
       (15*t[7])/2 - (11*t[8])/2 - (17*t[9])/8 + (55*t[10])/8 - (5*t[11])/2 - 
       t[12]/4 + (83*t[13])/72 + (55*t[14])/48 - (51*t[15])/16 + 2*t[20] - 
       2*t[22] + t[28] - t[29] - t[32] + t[33] + 2*t[35] - t[36] + t[37] + 
       t[41]/2 - t[42]/2 - t[43]/2 - t[44] + t[47] + (9*t[48])/4 + t[49]/8 - 
       (9*t[50])/4 - t[51]/16 + (9*t[52])/4 - t[53]/8 + 3*t[54] + t[59] + 
       8*t[60] + (5*t[61])/2 - (11*t[62])/8 - (25*t[63])/8 + (43*t[64])/4 - 
       (7*t[65])/2 - (23*t[66])/6 + 2*t[69] + 3*t[75] + t[77] + t[78] - 
       3*t[80] + (3*t[81])/2 - (3*t[82])/2 - 4*t[83] + (5*t[84])/4 - 
       t[85]/2 - 12*t[86] - 6*t[87] - 3*t[88] + (25*t[89])/4 - 4*t[99] + 
       5*t[100]) + C25[w, u, v]*(t[3]/2 - (3*t[4])/2 + t[5]/4 - t[6]/2 - 
       t[7]/2 - (3*t[8])/2 - t[9]/4 + (3*t[10])/4 - (5*t[11])/2 - 
       (17*t[13])/12 - (9*t[14])/8 - (11*t[15])/24 - t[49]/4 + t[51]/8 + 
       t[53]/4 + t[54]/2 - (5*t[60])/2 - (7*t[61])/2 + (5*t[62])/4 + 
       (3*t[63])/4 + (5*t[64])/4 + t[65]/2 + (23*t[66])/6 + t[83] - t[84]/2 - 
       t[85]/2 + (3*t[87])/2 + (3*t[88])/4 - t[89]/4 + 6*t[100]) + 
     A10[v, w, u]*HPL[{1}, 1 - u]*((9*t[2])/4 - (11*t[5])/8 - (3*t[6])/2 + 
       t[7]/2 - 4*t[8] + (41*t[9])/8 + (5*t[10])/2 - t[11]/4 - (7*t[12])/8 - 
       2*t[13] - (13*t[14])/24 - (65*t[15])/48 - 2*t[28] - 3*t[33] - 
       (7*t[60])/4 - 3*t[61] - (21*t[62])/8 + (51*t[63])/8 + t[64] - t[65] + 
       6*t[66] + 2*t[74] + 2*t[79] - t[81]/2 + t[82]/2 - 2*t[83] - t[84]/2 - 
       t[85]/4 + 2*t[86] + (5*t[87])/4 + (5*t[88])/8 + (5*t[89])/4 + 
       6*t[100]) + A10[u, v, w]*HPL[{1}, 1 - v]*((3*t[2])/4 + (3*t[3])/2 + 
       (31*t[4])/4 - (11*t[5])/4 + t[6]/2 - (15*t[7])/2 - (29*t[8])/4 - 
       (5*t[9])/2 + (115*t[10])/8 - (13*t[11])/4 - (19*t[12])/8 + t[13]/4 - 
       (83*t[14])/48 + (25*t[15])/24 - t[17]/2 + 2*t[24] + (3*t[46])/2 + 
       t[48] - (13*t[49])/8 - t[50] - (5*t[51])/16 + t[52] + (13*t[53])/8 + 
       (5*t[54])/4 - t[60] - 9*t[61] + (73*t[62])/4 + (157*t[63])/4 - 
       20*t[64] + (7*t[65])/6 + (41*t[66])/6 + t[67] + 6*t[74] - 4*t[79] - 
       4*t[83] - 28*t[86] + (5*t[89])/2 - t[94] + 6*t[100]) + 
     HPL[{1}, 1 - u]^2*K1[u, v, w]*((-3*t[3])/4 + (11*t[4])/4 - 
       (31*t[5])/16 + (3*t[6])/4 - (5*t[7])/8 + (7*t[8])/8 + (11*t[9])/16 + 
       3*t[10] - (5*t[11])/8 - (3*t[12])/16 + (61*t[13])/72 + (11*t[14])/6 + 
       (11*t[15])/32 - t[36]/2 - t[43]/2 + t[49]/8 - t[51]/16 - t[53]/8 + 
       (3*t[54])/4 + (9*t[60])/4 + 2*t[61] + 3*t[62] + (7*t[63])/2 - 
       (45*t[64])/4 + (5*t[65])/6 + t[66]/3 - t[72]/2 - t[73]/2 + 
       (5*t[75])/2 - t[76]/2 + t[77]/2 + 2*t[78] - (3*t[79])/2 - 2*t[80] - 
       (7*t[83])/2 + (3*t[84])/4 - (3*t[85])/4 - (15*t[86])/2 - (7*t[87])/4 - 
       (7*t[88])/8 + t[89] - 3*t[98] + 6*t[99] + 6*t[100]) + 
     HPL[{1}, 1 - v]^2*K1[w, u, v]*(t[1]/2 + t[3]/2 - t[4] + (7*t[5])/8 + 
       (3*t[6])/16 - (5*t[7])/2 + (5*t[8])/2 - (17*t[9])/8 + (3*t[10])/2 - 
       t[11]/16 + t[12]/4 + t[13]/8 - (31*t[14])/12 + (31*t[15])/48 - t[25] + 
       t[26]/2 + t[27]/2 + t[38]/2 - t[44] + (3*t[46])/4 - (9*t[48])/16 - 
       (7*t[49])/4 - t[50]/16 + t[51]/16 + t[52]/16 + (7*t[53])/4 + 
       (17*t[54])/16 - t[59]/4 - (31*t[60])/8 - (45*t[61])/8 + 
       (33*t[62])/16 - (5*t[63])/16 + (35*t[64])/16 + (53*t[65])/12 + 
       (11*t[66])/2 - t[73]/2 + (3*t[75])/2 - t[76]/2 + t[78] - (3*t[81])/4 + 
       (3*t[82])/4 - t[83] - t[84]/4 - (3*t[85])/8 + (15*t[87])/8 + 
       (15*t[88])/16 + (21*t[89])/16 - 3*t[98] + 6*t[99] + 6*t[100]) + 
     HPL[{0, 1}, 1 - w]*K1[u, v, w]*(t[1]/4 + (9*t[2])/2 - (15*t[3])/4 + 
       t[4]/8 + (33*t[5])/8 - (57*t[6])/8 + (341*t[7])/16 + (15*t[8])/16 + 
       (339*t[9])/16 - (59*t[10])/8 + (179*t[11])/16 + (167*t[12])/16 + 
       (143*t[13])/32 + (133*t[14])/96 - (59*t[15])/32 + t[18] + t[20] + 
       t[21] - t[22] - t[23] - t[24] - t[25] + t[26]/2 + t[27] - t[28] - 
       t[29] + 2*t[31] - t[33] + t[34] + t[36] + 3*t[37] + t[38] + 
       (3*t[41])/4 - t[42]/4 - (39*t[43])/16 + (3*t[44])/2 - (17*t[45])/8 - 
       (5*t[46])/4 + (29*t[47])/4 - (93*t[48])/16 + (29*t[49])/16 + 
       (67*t[50])/16 + (9*t[51])/32 - (83*t[52])/16 - (29*t[53])/16 - 
       (93*t[54])/16 - t[59]/2 - t[60]/4 - (19*t[61])/2 - (153*t[62])/4 - 
       (83*t[63])/4 + (135*t[64])/4 + (157*t[65])/12 - (107*t[66])/4 + 
       t[69] - 2*t[70] + 2*t[71] + t[73] - t[74] - 4*t[75] + (5*t[76])/2 - 
       t[77] - (9*t[78])/2 + 10*t[79] - 2*t[80] + t[81]/2 + (7*t[82])/2 + 
       10*t[83] - (3*t[84])/2 + (25*t[85])/4 + (83*t[86])/2 + (5*t[87])/4 + 
       (5*t[88])/8 + (57*t[89])/8 + 14*t[98] - 10*t[99] + 7*t[100]) + 
     HPL[{0, 1}, 1 - w]*K1[w, u, v]*(-t[1]/4 - (7*t[2])/8 + (95*t[3])/16 + 
       (41*t[4])/8 - (83*t[5])/16 + (7*t[6])/2 - (49*t[7])/8 + (39*t[8])/8 - 
       (223*t[9])/16 - (133*t[10])/16 + (19*t[11])/4 - (69*t[12])/8 + 
       (323*t[13])/144 + (95*t[14])/96 + (193*t[15])/72 - t[20] + t[22] + 
       2*t[24] - 2*t[27] + 2*t[28] + (3*t[29])/4 + (3*t[30])/2 - 
       (7*t[32])/4 + (3*t[33])/2 + t[34]/2 - t[35] - t[37]/2 + t[40] + 
       (3*t[43])/4 - (11*t[44])/8 - t[45]/2 + 2*t[47] + (9*t[48])/8 + 
       (41*t[49])/16 - (39*t[50])/8 - (41*t[51])/32 + (27*t[52])/8 - 
       (41*t[53])/16 - (13*t[54])/8 + t[59]/4 - (15*t[60])/8 + (25*t[61])/4 + 
       (83*t[62])/8 + (49*t[63])/8 - (11*t[64])/8 - (107*t[65])/24 + 
       (5*t[66])/8 - t[70] + t[71] - 3*t[72] - 2*t[73] - t[74]/2 + 5*t[75] + 
       t[76] - t[77]/2 - 2*t[78] - 2*t[79] + 5*t[80] + (15*t[81])/4 - 
       (19*t[82])/4 - (7*t[83])/2 - (11*t[84])/8 + (17*t[85])/4 - 12*t[86] - 
       (9*t[88])/2 + (49*t[89])/16 + t[95] + t[96] - t[97]/2 + 14*t[98] - 
       10*t[99] + 7*t[100]) + H1[w, u, v]*HPL[{0, 1}, 1 - w]*
      (t[1]/4 - t[2]/4 - t[3] - 2*t[4] - (25*t[5])/8 - (7*t[6])/4 - 6*t[7] + 
       14*t[8] - (45*t[9])/8 - (3*t[10])/4 + (13*t[11])/4 - (31*t[12])/8 - 
       (5*t[13])/36 - t[14]/6 + (101*t[15])/48 + t[18]/2 - t[20] + t[22] + 
       t[24] + t[28]/2 + t[30] - t[31] + (3*t[32])/2 + t[33]/2 + t[35]/2 - 
       t[37]/2 + t[43] - 2*t[44] + (5*t[47])/2 + (5*t[48])/4 + t[49]/4 - 
       t[50]/4 - t[51]/8 + t[52]/4 - t[53]/4 - (9*t[54])/4 + t[59]/2 - 
       (15*t[60])/4 + (13*t[61])/4 - (3*t[62])/8 - (105*t[63])/8 + 
       (85*t[64])/8 - (13*t[65])/6 + (16*t[66])/3 - t[69]/2 - t[70]/2 + 
       t[71]/2 - t[72] + t[74] - t[75] - (3*t[77])/2 + t[78] - t[79] + 
       5*t[80] + t[81] - (3*t[82])/2 + (33*t[83])/4 - t[84] + (7*t[85])/4 + 
       7*t[86] + (17*t[87])/4 + (17*t[88])/8 + (3*t[89])/8 + 2*t[99] + 
       7*t[100]) + H1[u, v, w]*HPL[{0, 1}, 1 - w]*
      ((-3*t[1])/4 + (11*t[2])/4 - (5*t[3])/2 + 6*t[4] + (47*t[5])/8 + 
       (5*t[6])/4 + 4*t[7] - 11*t[8] + (67*t[9])/8 - (11*t[10])/4 + 
       (7*t[11])/4 + (17*t[12])/8 - (5*t[13])/9 + (7*t[14])/3 + 
       (25*t[15])/48 + t[18]/2 + t[20] - t[22] - t[24] + t[28]/2 + t[30] + 
       3*t[31] - t[32]/2 + t[33]/2 + t[35]/2 + (3*t[37])/2 - t[43] + 
       2*t[44] - (3*t[47])/2 - (9*t[48])/4 + (9*t[49])/4 + (5*t[50])/4 - 
       (9*t[51])/8 - (5*t[52])/4 - (9*t[53])/4 - (15*t[54])/4 + t[59]/2 + 
       (29*t[60])/4 - (19*t[61])/4 + (19*t[62])/8 - (15*t[63])/8 - 
       (7*t[64])/8 - (41*t[65])/3 - (3*t[66])/2 + (3*t[69])/2 - t[70]/2 + 
       t[71]/2 - t[72] + t[74] + 5*t[75] + t[77]/2 + t[78] + 5*t[79] - 
       9*t[80] + t[81] + (5*t[82])/2 - (15*t[83])/4 - t[84] + (15*t[85])/4 - 
       7*t[86] - (23*t[87])/4 - (23*t[88])/8 + (15*t[89])/8 + 2*t[99] + 
       7*t[100]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - v]*
      (-2*t[1] + 10*t[2] - (3*t[3])/2 + (11*t[4])/2 - (215*t[5])/8 - 
       (117*t[6])/8 + (173*t[7])/8 - (205*t[8])/8 + (87*t[9])/2 + 
       (17*t[10])/8 + 2*t[11] + (67*t[12])/8 + (1153*t[13])/144 + 
       (95*t[14])/6 - (151*t[15])/24 + 2*t[19] + t[21] - t[23] - 
       (3*t[29])/2 + 4*t[31] + 6*t[35] - 2*t[37] + t[41]/2 - t[42]/2 - 
       (43*t[43])/8 + (13*t[44])/4 - t[45]/4 - 2*t[46] + (9*t[47])/2 - 
       14*t[48] + (15*t[49])/4 + 9*t[50] - (3*t[51])/8 - 9*t[52] - 
       (15*t[53])/4 - 10*t[54] + (17*t[60])/2 + (77*t[61])/4 - 
       (327*t[62])/8 + (95*t[63])/8 - (797*t[64])/8 + (71*t[65])/12 - 
       (619*t[66])/12 + t[69] - 4*t[74] - 4*t[75] - 11*t[79] - 4*t[80] - 
       t[81]/2 - (15*t[82])/2 + (49*t[83])/2 - (3*t[84])/4 + 5*t[85] + 
       28*t[86] - (13*t[87])/2 - (13*t[88])/4 - (43*t[89])/4 + 16*t[99] + 
       7*t[100]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - u]*
      (12*t[2] + (123*t[3])/8 + (3*t[4])/4 + (197*t[5])/8 + (17*t[6])/2 - 
       (181*t[7])/8 + (157*t[8])/8 - (97*t[9])/4 - (67*t[10])/8 + t[11] - 
       (27*t[12])/8 + (68*t[13])/9 + t[14]/2 + (575*t[15])/48 - t[20] + 
       2*t[22] + 2*t[28] - t[29]/2 + 3*t[30] - (3*t[32])/2 - 2*t[34] - 
       2*t[35] - 2*t[37] - t[41] + t[42] + (13*t[43])/8 - (31*t[44])/4 + 
       (13*t[45])/4 - (17*t[47])/2 + (13*t[48])/2 + (5*t[49])/4 - 
       (13*t[50])/2 - (5*t[51])/8 + (13*t[52])/2 - (5*t[53])/4 + t[54]/4 + 
       t[59] - (15*t[60])/2 - (41*t[61])/4 + (279*t[62])/8 + (61*t[63])/8 - 
       (431*t[64])/8 - (19*t[65])/4 + (53*t[66])/4 - t[69] - 4*t[73] + 
       5*t[75] - 3*t[79] + 2*t[80] - (11*t[83])/2 - (29*t[84])/4 - 
       (33*t[85])/4 - 13*t[86] - (21*t[87])/4 - (21*t[88])/8 - (21*t[89])/4 + 
       16*t[99] + 7*t[100]) + C27[w, u, v]*((9*t[2])/4 + t[3] + t[4] + 
       (77*t[5])/8 + t[6] - (3*t[7])/2 - 2*t[8] - (7*t[9])/8 - (5*t[10])/2 - 
       (19*t[11])/4 - (7*t[12])/8 - (17*t[13])/4 - (127*t[14])/24 - 
       (61*t[15])/48 + t[17]/2 - 2*t[27] - 3*t[33] + 2*t[39] - t[46] + 
       4*t[48] + 2*t[49] + 3*t[50] - t[51]/4 - 3*t[52] - 2*t[53] - 5*t[54] - 
       (35*t[60])/4 - 3*t[61] + (3*t[62])/8 + (17*t[63])/8 + 4*t[64] + 
       (5*t[65])/6 + (15*t[66])/2 + (3*t[81])/2 - (3*t[82])/2 - t[84] - 
       (21*t[85])/4 + (29*t[87])/4 + (29*t[88])/8 - t[89] + t[90] + t[93] + 
       8*t[100]) + F1[u, v, w]*HPL[{0, 0, 1}, 1 - u]*(-t[1]/2 + (21*t[2])/2 + 
       (5*t[3])/4 - t[4] - (19*t[5])/2 - (41*t[6])/16 + (191*t[7])/16 + 
       (113*t[8])/16 + (323*t[9])/16 - (3*t[10])/16 + (35*t[11])/4 - 
       t[12]/4 + (1169*t[13])/288 + (269*t[14])/24 + (195*t[15])/32 - t[18] - 
       t[19] + t[21] - t[23] - t[24] + 3*t[31] + 2*t[35] - 2*t[37] + 
       t[41]/2 - t[42]/2 - (9*t[43])/16 - t[44] + (29*t[45])/8 - 
       (37*t[47])/4 - (37*t[48])/8 + (9*t[49])/4 - t[50]/8 - (9*t[51])/8 + 
       t[52]/8 - (9*t[53])/4 - (43*t[54])/8 + (37*t[60])/4 - (3*t[61])/2 - 
       (93*t[62])/4 - (103*t[63])/4 - (191*t[64])/4 + (115*t[65])/12 - 
       (131*t[66])/12 - 3*t[69] + t[70] - t[71] - t[74] - 6*t[75] - t[78] - 
       14*t[79] - 6*t[80] - t[81]/2 - (13*t[82])/2 + 15*t[83] - (3*t[84])/2 + 
       (33*t[85])/4 + (61*t[86])/2 - (17*t[87])/4 - (17*t[88])/8 + 
       (17*t[89])/8 + 10*t[99] + 10*t[100]) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - v]*((23*t[2])/4 + (193*t[3])/16 + 
       (11*t[4])/2 + 3*t[5] + (19*t[6])/4 - (21*t[7])/8 + (87*t[8])/8 - 
       (11*t[9])/4 - (5*t[10])/2 - 2*t[11] - (33*t[12])/8 + (5*t[13])/16 - 
       (25*t[14])/6 + (1807*t[15])/288 - t[18] - 3*t[20] + 3*t[22] + 
       2*t[28] + (5*t[29])/4 + (7*t[30])/2 - t[32]/4 + t[33] - 3*t[34] - 
       2*t[35] - t[37] - t[41]/2 + t[42]/2 - t[43]/2 + (3*t[44])/8 - 
       3*t[47] + (27*t[48])/8 + (3*t[49])/2 - (5*t[50])/8 - (3*t[51])/4 + 
       (5*t[52])/8 - (3*t[53])/2 - (3*t[54])/2 + (3*t[59])/2 - (65*t[60])/4 - 
       (133*t[61])/8 + (391*t[62])/16 + (29*t[63])/16 - (603*t[64])/16 + 
       (157*t[65])/24 + (749*t[66])/24 - t[69] + t[70] - t[71] - 2*t[73] - 
       t[74] - 5*t[75] + t[77] - t[78] - 3*t[79] - 2*t[80] - t[81]/2 + 
       t[82]/2 - (3*t[83])/2 - (37*t[84])/8 - (27*t[85])/8 - 9*t[86] + 
       (29*t[87])/8 + (13*t[88])/16 - 2*t[95] + 10*t[99] + 10*t[100]) + 
     HPL[{0, 1}, 1 - v]*K1[u, v, w]*((-9*t[1])/4 + (15*t[2])/4 + 
       (15*t[3])/4 + t[4]/8 + (35*t[5])/4 + (77*t[6])/8 - (313*t[7])/16 + 
       (213*t[8])/16 - (365*t[9])/16 + (31*t[10])/4 - (331*t[11])/16 - 
       (143*t[12])/16 - (2251*t[13])/288 - (623*t[14])/96 + (45*t[15])/32 - 
       t[18] - t[20] - t[21] + t[22] + t[23] + t[24] + t[25] - t[26]/2 - 
       t[27] + 3*t[28] + t[29] + 3*t[33] - t[34] - 2*t[35] + t[36] + t[37] - 
       t[38] - t[41]/4 - t[42]/4 + (15*t[43])/16 + t[44]/2 + t[45]/8 - 
       (5*t[46])/4 - (21*t[47])/4 + (113*t[48])/16 + (33*t[49])/16 - 
       (87*t[50])/16 - (11*t[51])/32 + (103*t[52])/16 - (33*t[53])/16 + 
       (117*t[54])/16 + t[59] - 15*t[60] - (129*t[61])/4 + (177*t[62])/8 + 
       (139*t[63])/8 - (77*t[64])/8 - (113*t[65])/6 + (217*t[66])/6 + t[69] + 
       2*t[70] - 2*t[71] - 3*t[73] - (9*t[76])/2 + (3*t[78])/2 - 4*t[79] - 
       8*t[80] - 3*t[81] + 5*t[82] - 11*t[83] - (9*t[84])/4 - (7*t[85])/2 - 
       (43*t[86])/2 + (13*t[87])/2 + (13*t[88])/4 - 4*t[89] - 22*t[98] + 
       14*t[99] + 10*t[100]) + HPL[{0, 1}, 1 - u]*K1[w, u, v]*
      (t[1]/4 - (7*t[2])/8 - (163*t[3])/16 - (67*t[4])/8 - (259*t[5])/16 - 
       (11*t[6])/4 + (45*t[7])/8 + (85*t[8])/8 + (297*t[9])/16 + 
       (51*t[10])/16 - (17*t[11])/4 + (49*t[12])/8 - (437*t[13])/48 + 
       (391*t[14])/96 - (29*t[15])/144 + t[20] - t[22] - 2*t[24] - 2*t[28] - 
       (3*t[29])/4 - (3*t[30])/2 + (15*t[32])/4 - (3*t[33])/2 - t[34]/2 + 
       2*t[35] + t[37]/2 - t[40] + t[43]/4 - (13*t[44])/8 + t[45]/2 + 
       (13*t[48])/8 - (39*t[49])/16 + (5*t[50])/8 + (39*t[51])/32 + 
       (7*t[52])/8 + (39*t[53])/16 + (53*t[54])/8 + t[59]/4 + (17*t[60])/8 - 
       (15*t[61])/2 - (185*t[62])/4 - (111*t[63])/4 + (95*t[64])/4 + 
       (269*t[65])/24 + (21*t[66])/8 + t[70] - t[71] + 3*t[72] - 4*t[73] + 
       t[74]/2 - 2*t[75] - 5*t[76] - (3*t[77])/2 + 2*t[78] + 2*t[79] - 
       t[80] - (9*t[81])/4 + (5*t[82])/4 + 14*t[83] + (17*t[84])/8 - t[85] + 
       45*t[86] + (17*t[87])/4 + (53*t[88])/8 + (117*t[89])/16 - t[95] - 
       t[96] + t[97]/2 - 22*t[98] + 14*t[99] + 10*t[100]) + 
     H1[w, u, v]*HPL[{0, 1}, 1 - u]*(t[1]/4 + (3*t[2])/2 + (3*t[3])/8 - 
       (45*t[4])/8 - (189*t[5])/16 - (17*t[6])/2 + (109*t[7])/8 - 
       (105*t[8])/8 + (265*t[9])/16 - (99*t[10])/16 + (39*t[11])/8 + 
       3*t[12] - (73*t[13])/18 - (145*t[14])/96 - (73*t[15])/96 - t[18]/2 + 
       t[20] - t[22] - t[24] - (3*t[28])/2 - t[30] + (3*t[32])/2 - 
       (3*t[33])/2 + t[35]/2 - t[37]/2 + t[43] + 2*t[44] + t[47]/2 - 
       (19*t[48])/4 - (19*t[49])/16 + (15*t[50])/4 + (19*t[51])/32 - 
       (15*t[52])/4 + (19*t[53])/16 - (27*t[54])/8 + t[59]/2 - (41*t[60])/8 + 
       (7*t[61])/8 - (529*t[62])/16 - (383*t[63])/16 + (267*t[64])/16 + 
       (59*t[65])/24 + (5*t[66])/24 - t[69]/2 + t[70]/2 - t[71]/2 + t[72] - 
       3*t[75] - (3*t[77])/2 - t[78] - 2*t[79] + 5*t[80] - t[81]/2 - 
       2*t[82] + 11*t[83] - (3*t[84])/8 + (7*t[85])/8 + 43*t[86] + 
       (31*t[87])/8 + (31*t[88])/16 - (27*t[89])/16 - 10*t[99] + 
       (23*t[100])/2) + H1[u, v, w]*HPL[{0, 1}, 1 - v]*
      ((3*t[1])/4 + (9*t[2])/4 + t[3]/4 - (45*t[4])/8 + (137*t[5])/16 + 
       (9*t[6])/4 - (29*t[7])/8 + (65*t[8])/8 - (193*t[9])/16 - 
       (71*t[10])/16 - t[11] - (41*t[12])/8 + (71*t[13])/16 - 
       (211*t[14])/32 + (359*t[15])/96 - t[18]/2 - t[20] + t[22] + t[24] + 
       (5*t[28])/2 - t[30] - t[32]/2 + (5*t[33])/2 - (7*t[35])/2 - 
       (5*t[37])/2 + t[43] + 2*t[44] - (3*t[47])/2 + (17*t[48])/8 - 
       (19*t[49])/16 - (9*t[50])/8 + (19*t[51])/32 + (9*t[52])/8 + 
       (19*t[53])/16 + (3*t[54])/2 + t[59]/2 - (81*t[60])/8 - (129*t[61])/8 + 
       (119*t[62])/16 - (135*t[63])/16 + (291*t[64])/16 + (103*t[65])/24 + 
       (63*t[66])/8 - (3*t[69])/2 + t[70]/2 - t[71]/2 + t[72] + t[75] + 
       t[77]/2 - t[78] + t[79] + 7*t[80] - t[81]/2 + 4*t[82] - (39*t[83])/4 - 
       (3*t[84])/8 - (9*t[85])/8 - 5*t[86] + (47*t[87])/8 + (47*t[88])/16 + 
       (61*t[89])/16 - 10*t[99] + (23*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[v, w, u]*((-3*t[2])/2 + (15*t[3])/8 - 
       (69*t[4])/32 + (259*t[5])/64 - t[6] + (41*t[7])/32 - (73*t[8])/32 - 
       (107*t[9])/64 + (37*t[10])/64 - (29*t[11])/8 + (9*t[12])/8 - 
       (1255*t[13])/576 - (1181*t[14])/384 - (137*t[15])/128 - t[28]/8 + 
       t[32]/8 - t[33]/8 + t[43]/16 + (7*t[44])/8 + t[48]/32 - (3*t[49])/64 - 
       t[50]/32 + (3*t[51])/128 + t[52]/32 + (3*t[53])/64 - (139*t[60])/32 - 
       (191*t[61])/32 - (51*t[62])/64 - (53*t[63])/64 + (509*t[64])/64 + 
       (57*t[65])/32 + (517*t[66])/96 + (5*t[74])/8 - t[75]/4 - t[77]/8 - 
       t[78]/8 - t[79]/4 + t[80]/4 + t[81]/4 - t[82]/4 + (7*t[83])/8 - 
       (31*t[84])/32 + t[85]/32 + (5*t[86])/4 + (89*t[87])/32 + 
       (89*t[88])/64 + (3*t[89])/64 - (3*t[99])/4 + (93*t[100])/8) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[v, w, u]*((-3*t[2])/8 + 
       (57*t[3])/32 - (117*t[4])/32 + (105*t[5])/64 - (25*t[6])/16 + 
       (23*t[7])/32 - (39*t[8])/32 - (125*t[9])/64 - (39*t[10])/64 - 
       (93*t[11])/32 + (33*t[12])/32 - (439*t[13])/288 - (1093*t[14])/384 - 
       (389*t[15])/128 - (3*t[28])/4 + t[31]/8 - (3*t[33])/4 - t[35]/8 + 
       (5*t[37])/8 + (7*t[43])/16 + t[44]/8 - t[47]/8 - t[48]/16 - 
       (27*t[49])/64 + t[50]/16 + (27*t[51])/128 - t[52]/16 + (27*t[53])/64 - 
       (3*t[54])/32 - (139*t[60])/32 - (199*t[61])/32 - (183*t[62])/64 - 
       (129*t[63])/64 + (821*t[64])/64 + (283*t[65])/96 + (107*t[66])/32 + 
       (5*t[74])/8 - t[75]/8 - t[78]/8 - t[79] + t[80]/2 + t[81]/4 - 
       t[82]/8 + (29*t[83])/16 - (31*t[84])/32 + t[85]/32 + (21*t[86])/4 + 
       (89*t[87])/32 + (89*t[88])/64 + (59*t[89])/64 - (3*t[99])/4 + 
       (93*t[100])/8) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[w, u, v]*
      (t[60]/4 - (19*t[61])/4 - (37*t[62])/8 + (21*t[63])/8 + (29*t[64])/8 + 
       (37*t[65])/12 - (7*t[66])/12 - t[73] - 2*t[75] - t[76] - 2*t[78] - 
       t[82] + 3*t[83] - t[84]/4 + (7*t[85])/4 + (3*t[87])/4 + (3*t[88])/8 + 
       (31*t[89])/8 + 2*t[98] - 10*t[99] + 13*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[u, v, w]*((-9*t[60])/2 - 
       (31*t[61])/2 - (9*t[62])/4 + (15*t[63])/4 + (101*t[64])/4 + t[65]/2 + 
       (49*t[66])/6 - 3*t[75] - 3*t[78] + t[79] - t[81] + 2*t[82] - t[83] - 
       (3*t[84])/2 + (3*t[85])/2 + 3*t[86] + (5*t[87])/2 + (5*t[88])/4 + 
       (17*t[89])/4 + 2*t[98] - 10*t[99] + 13*t[100]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*(t[1]/2 - (3*t[2])/8 + 
       (145*t[3])/16 - (11*t[4])/4 + (49*t[5])/32 - (59*t[6])/8 - 4*t[7] + 
       (13*t[8])/8 - (435*t[9])/32 + (23*t[10])/4 - (99*t[11])/16 - 
       (289*t[12])/32 - (31*t[13])/16 - (1697*t[14])/96 + (631*t[15])/576 - 
       t[18] - 4*t[20] - 2*t[21] + 5*t[22] + 2*t[23] - t[24] + t[27] - 
       2*t[31] - t[32]/2 + t[33]/2 - 4*t[34] + t[36]/2 + t[38] - t[39]/2 + 
       2*t[40] - t[41] + t[42] - (23*t[43])/16 + 2*t[44] + (21*t[45])/4 + 
       t[46]/4 - (9*t[47])/2 - t[48] - (5*t[49])/8 - t[50]/2 + t[51]/2 - 
       (5*t[52])/2 + (5*t[53])/8 - (23*t[54])/4 + t[57] + t[59]/4 - 
       (77*t[60])/4 - (287*t[61])/8 + (13*t[62])/16 - (469*t[63])/16 + 
       (3*t[64])/16 + (111*t[65])/8 + (325*t[66])/24 + t[70] - t[71] - 
       t[74] - 11*t[75] - (3*t[76])/2 + t[77] - 6*t[78] + t[79] - 
       (21*t[80])/2 - 4*t[81] + t[82] - t[83]/2 - (3*t[84])/2 - t[85]/4 + 
       (55*t[86])/4 + (67*t[87])/4 + (67*t[88])/8 + (61*t[89])/8 - t[97]/2 - 
       10*t[98] + 8*t[99] + 13*t[100]) + F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*(t[1] + (31*t[2])/4 + (189*t[3])/16 - (3*t[4])/4 - 
       t[5]/8 - (61*t[6])/32 - (7*t[7])/8 + (3*t[8])/2 - (137*t[9])/16 - 
       (79*t[10])/8 - (267*t[11])/32 - 7*t[12] - (163*t[13])/48 - 
       (479*t[14])/32 + (7*t[15])/9 - t[18] - t[19] + t[20] + t[21] - t[23] + 
       2*t[28] - t[29]/4 + (3*t[30])/2 + t[32] - 3*t[34] - t[35] + t[36] + 
       t[38] - t[39] + (5*t[40])/2 + t[43] - (7*t[44])/8 + (9*t[45])/2 - 
       (15*t[47])/2 + (121*t[48])/32 - (13*t[49])/8 - (123*t[50])/32 + 
       (17*t[51])/16 + (27*t[52])/32 + (13*t[53])/8 + (11*t[54])/32 + 
       t[59]/4 - (63*t[60])/16 - (283*t[61])/16 - (245*t[62])/32 - 
       (1363*t[63])/32 - (167*t[64])/32 + (255*t[65])/16 + (727*t[66])/48 - 
       t[69] + t[70] - t[71] - t[72] - t[73] - t[74] - 5*t[75] - 
       (5*t[76])/2 + t[77] - 2*t[78] - 7*t[79] - 2*t[80] - 3*t[81] - 
       2*t[82] - (3*t[83])/2 - (19*t[84])/16 + (33*t[85])/16 + 29*t[86] + 
       (191*t[87])/16 + (191*t[88])/32 + (423*t[89])/32 - t[97]/2 - 
       10*t[98] + 8*t[99] + 13*t[100]) + HPL[{0, 1}, 1 - v]*J1[u, v, w]*
      ((5*t[1])/16 + (27*t[2])/16 + (27*t[3])/16 - (91*t[4])/32 + 
       (159*t[5])/64 + (19*t[6])/16 - (195*t[7])/32 + (111*t[8])/32 - 
       (567*t[9])/64 - t[10]/64 - (15*t[11])/4 - (119*t[12])/32 + 
       (65*t[13])/576 - (1999*t[14])/384 - (79*t[15])/384 + t[18]/8 - 
       (3*t[20])/4 + (3*t[22])/4 + (3*t[24])/4 + (11*t[28])/8 - (3*t[30])/4 + 
       t[32]/8 + (11*t[33])/8 - (9*t[35])/8 - (3*t[37])/8 + t[43]/4 + 
       t[44]/2 - (5*t[47])/8 + (55*t[48])/32 - (5*t[49])/64 - (47*t[50])/32 + 
       (5*t[51])/128 + (47*t[52])/32 + (5*t[53])/64 + (9*t[54])/8 - t[59]/8 - 
       (231*t[60])/32 - (439*t[61])/32 + (577*t[62])/64 - (241*t[63])/64 + 
       (181*t[64])/64 + (97*t[65])/96 + (731*t[66])/96 - (5*t[69])/8 - 
       t[70]/8 + t[71]/8 + (3*t[72])/4 - t[75]/4 - t[77]/8 - (3*t[78])/4 + 
       (3*t[79])/4 + (5*t[80])/4 - (3*t[81])/8 + (5*t[82])/2 - 
       (57*t[83])/16 - (21*t[84])/32 + t[85]/32 - (27*t[86])/4 + 
       (105*t[87])/32 + (105*t[88])/64 + (91*t[89])/64 - (15*t[99])/2 + 
       (113*t[100])/8) + HPL[{0, 1}, 1 - u]*J1[w, u, v]*
      (-t[1]/16 - t[2]/8 - (3*t[3])/32 - (91*t[4])/32 - (267*t[5])/64 - 
       (41*t[6])/8 + (163*t[7])/32 - (343*t[8])/32 + (591*t[9])/64 - 
       (69*t[10])/64 - (31*t[11])/32 + (3*t[12])/2 - (55*t[13])/12 - 
       (823*t[14])/384 - (223*t[15])/384 + t[18]/8 + (3*t[20])/4 - 
       (3*t[22])/4 - (3*t[24])/4 - (5*t[28])/8 - (3*t[30])/4 + (5*t[32])/8 - 
       (5*t[33])/8 + (7*t[35])/8 + t[37]/8 + t[43]/4 + t[44]/2 - t[47]/8 - 
       (29*t[48])/16 - (5*t[49])/64 + (25*t[50])/16 + (5*t[51])/128 - 
       (25*t[52])/16 + (5*t[53])/64 - (61*t[54])/32 - t[59]/8 - 
       (159*t[60])/32 - (303*t[61])/32 - (951*t[62])/64 - (697*t[63])/64 + 
       (669*t[64])/64 + (31*t[65])/32 + (193*t[66])/32 + t[69]/8 - t[70]/8 + 
       t[71]/8 + (3*t[72])/4 - (5*t[75])/4 - (5*t[77])/8 - (3*t[78])/4 - 
       t[79]/2 + (3*t[80])/4 - (3*t[81])/8 - t[82] + (25*t[83])/4 - 
       (21*t[84])/32 + (17*t[85])/32 + (81*t[86])/4 + (89*t[87])/32 + 
       (89*t[88])/64 + (99*t[89])/64 - (15*t[99])/2 + (113*t[100])/8) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (t[1]/4 + t[2] + 4*t[3] - (11*t[4])/4 - (31*t[5])/8 - t[6] - 
       (11*t[7])/4 + (31*t[8])/4 - (21*t[9])/8 + (7*t[10])/2 - 5*t[11] - 
       (21*t[12])/8 - (503*t[13])/144 + t[14]/12 + (137*t[15])/48 + t[18]/2 + 
       t[24] + t[28] - t[29] + t[30] - t[31] + t[35]/2 - t[37]/2 + t[43]/4 - 
       (3*t[44])/2 + t[47]/2 + (7*t[48])/8 - t[49]/2 - (7*t[50])/8 + 
       t[51]/4 + (7*t[52])/8 + t[53]/2 + (11*t[54])/8 + t[59]/2 - 
       (9*t[60])/4 - (19*t[61])/2 + (35*t[62])/4 - (5*t[63])/4 - 
       (69*t[64])/4 + (7*t[65])/2 + (227*t[66])/12 - t[69]/2 - t[70]/2 + 
       t[71]/2 - 2*t[73] + t[74]/2 + (3*t[75])/2 - t[78]/2 - (5*t[79])/2 + 
       2*t[80] - (3*t[81])/2 + t[83]/2 - t[84] - 2*t[85] + t[86]/2 + 
       (5*t[87])/2 + (5*t[88])/4 + t[89]/2 + t[99] + (31*t[100])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (-t[1]/4 + (17*t[2])/8 + (27*t[3])/8 - t[4]/4 - (47*t[5])/16 - 
       (29*t[6])/16 + (15*t[7])/2 - (5*t[8])/4 + (129*t[9])/16 - 2*t[10] - 
       (41*t[11])/16 - (53*t[12])/16 - (41*t[13])/18 + (3*t[14])/16 - 
       (35*t[15])/96 + t[18]/2 + t[20] - t[22] - t[28]/2 + t[31]/2 - 
       t[32]/2 - t[33]/2 + (3*t[35])/2 + t[37]/2 - (3*t[43])/4 + t[44]/2 + 
       t[46]/4 - t[47] - (25*t[48])/16 + t[49] + (15*t[50])/16 - 
       (11*t[51])/16 - (15*t[52])/16 - t[53] - (23*t[54])/16 + t[59]/2 + 
       (15*t[60])/8 - (125*t[61])/8 - (107*t[62])/16 - (57*t[63])/16 - 
       (139*t[64])/16 - (4*t[65])/3 + (19*t[66])/4 + t[69]/2 - t[70]/2 + 
       t[71]/2 + t[74] + t[75]/2 + t[77]/2 - t[78]/2 - (3*t[79])/2 - 
       5*t[80] - (3*t[81])/4 + (3*t[82])/4 + (7*t[83])/4 - (3*t[84])/2 + 
       (9*t[85])/8 + 12*t[86] - (9*t[87])/8 - (9*t[88])/16 + (63*t[89])/16 + 
       t[99] + (31*t[100])/2) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*(-t[1]/2 - (9*t[2])/4 + (9*t[3])/4 - 3*t[4] - 
       (15*t[5])/2 + (3*t[6])/4 - (19*t[7])/4 + (43*t[8])/4 - (9*t[9])/4 + 
       (15*t[10])/4 - (19*t[11])/2 + (13*t[12])/4 - (403*t[13])/72 - 
       (14*t[14])/3 - (5*t[15])/4 + t[30] + t[37] - t[43]/2 - t[44] - t[45] + 
       2*t[47] + (5*t[48])/2 - t[49] - 3*t[50] + t[51]/2 + 3*t[52] + t[53] + 
       5*t[54] + t[59]/2 - (27*t[60])/4 - (47*t[61])/4 + (93*t[62])/8 - 
       (17*t[63])/8 - (125*t[64])/8 + 14*t[65] + (103*t[66])/6 + t[69] - 
       2*t[73] - 2*t[74] + t[75] - 2*t[76] + 2*t[78] - 5*t[80] - 
       (5*t[81])/2 + (7*t[82])/2 - t[83] - t[84] - (9*t[85])/4 + t[86] + 
       (13*t[87])/4 + (13*t[88])/8 + (17*t[89])/8 - 18*t[98] + 26*t[99] + 
       16*t[100]) + H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      ((3*t[2])/2 - (37*t[3])/8 - (51*t[4])/8 + (155*t[5])/16 - (3*t[6])/4 + 
       (29*t[7])/8 + (3*t[8])/8 - (7*t[9])/16 - (33*t[10])/16 - 
       (59*t[11])/8 + (37*t[12])/8 - (217*t[13])/72 - (403*t[14])/96 + 
       (59*t[15])/96 + t[28] + (3*t[31])/2 + t[33] - (3*t[35])/2 - t[37]/2 + 
       t[43]/4 + (3*t[44])/2 - (3*t[47])/2 - (3*t[48])/4 - (21*t[49])/16 + 
       (3*t[50])/4 + (21*t[51])/32 - (3*t[52])/4 + (21*t[53])/16 + 
       (11*t[54])/8 - (37*t[60])/8 - (41*t[61])/8 + (7*t[62])/16 + 
       (65*t[63])/16 + (163*t[64])/16 + t[65]/24 + (73*t[66])/8 - t[74]/2 + 
       t[75]/2 - (3*t[78])/2 - 4*t[79] + 2*t[80] - 2*t[81] + (7*t[82])/2 + 
       (7*t[83])/4 - (13*t[84])/8 - (17*t[85])/8 + 3*t[86] + (47*t[87])/8 + 
       (47*t[88])/16 - (51*t[89])/16 - 9*t[99] + (39*t[100])/2) + 
     H1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(-t[2]/2 + (9*t[3])/2 - 
       (67*t[4])/8 - (71*t[5])/16 - 4*t[6] + (15*t[7])/8 - (31*t[8])/8 - 
       (57*t[9])/16 - (5*t[10])/16 - 4*t[11] + (5*t[12])/4 - (343*t[13])/48 - 
       (331*t[14])/96 - (113*t[15])/96 - (3*t[28])/2 + (3*t[32])/2 - 
       (3*t[33])/2 + (3*t[43])/4 + t[44]/2 + 2*t[47] - (13*t[48])/8 - 
       (29*t[49])/16 + (13*t[50])/8 + (29*t[51])/32 - (13*t[52])/8 + 
       (29*t[53])/16 + t[54]/2 - (53*t[60])/8 - (17*t[61])/8 - 
       (109*t[62])/16 + (101*t[63])/16 + (363*t[64])/16 + (17*t[65])/24 + 
       (455*t[66])/24 - t[74]/2 - 3*t[75] - (3*t[77])/2 - (3*t[78])/2 + 
       3*t[79] + 3*t[80] - 2*t[81] + 2*t[82] + (13*t[83])/2 - (13*t[84])/8 - 
       (17*t[85])/8 + 9*t[86] + (63*t[87])/8 + (63*t[88])/16 - 
       (43*t[89])/16 - 9*t[99] + (39*t[100])/2) + F1[u, v, w]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((11*t[1])/4 - (11*t[2])/4 - (13*t[3])/4 - 
       (45*t[4])/8 - (83*t[5])/8 - (61*t[6])/4 + (333*t[7])/16 - 
       (185*t[8])/16 + (307*t[9])/16 - 4*t[10] + (261*t[11])/16 + 
       (17*t[12])/16 + (1507*t[13])/288 - (67*t[14])/32 - (205*t[15])/96 + 
       t[18] - t[19] + t[21] - t[23] - t[24] - t[25] + t[26]/2 + t[27] - 
       t[28] - t[29] - t[30] - t[33] + t[34] - t[36] - t[37] + t[38] - 
       t[41]/4 + (3*t[42])/4 - (7*t[43])/16 + t[44]/2 - t[45]/8 + 
       (5*t[46])/4 + (25*t[47])/4 - (111*t[48])/16 - (33*t[49])/16 + 
       (89*t[50])/16 + (11*t[51])/32 - (105*t[52])/16 + (33*t[53])/16 - 
       (143*t[54])/16 - 2*t[59] + (5*t[60])/2 + (9*t[61])/4 - (149*t[62])/8 - 
       (163*t[63])/8 + (123*t[64])/8 + (99*t[65])/4 - (143*t[66])/6 - 
       2*t[69] - 2*t[70] + 2*t[71] + t[72] + 3*t[73] + t[74] + (9*t[76])/2 - 
       (5*t[78])/2 + 3*t[79] + 11*t[80] + t[81] + 11*t[83] + t[84]/4 + 
       (15*t[85])/4 + (55*t[86])/2 - t[87]/4 - t[88]/8 + (35*t[89])/4 + 
       22*t[98] - 24*t[99] + (41*t[100])/2) + F1[v, w, u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(-t[1]/4 + (45*t[2])/8 + (247*t[3])/16 + 
       (7*t[4])/8 + (167*t[5])/16 + t[6]/4 - (31*t[7])/8 - (123*t[8])/8 - 
       (273*t[9])/16 - (119*t[10])/16 - (17*t[11])/4 - (21*t[12])/8 - 
       (35*t[13])/144 - (381*t[14])/32 - (13*t[15])/16 - t[22]/2 + t[24] + 
       2*t[28] + (3*t[29])/4 + (3*t[30])/2 - (11*t[32])/4 + (3*t[33])/2 + 
       t[34]/2 - t[35] - t[37]/2 + t[40] + t[43]/4 + (21*t[44])/8 - t[45]/2 - 
       (11*t[48])/8 + (23*t[49])/16 - (15*t[50])/8 - (23*t[51])/32 + 
       (3*t[52])/8 - (23*t[53])/16 - (35*t[54])/8 - (3*t[59])/4 - 
       (113*t[60])/8 - 11*t[61] + (139*t[62])/4 + (55*t[63])/4 - 
       (61*t[64])/4 - (127*t[65])/24 + (583*t[66])/24 - t[70] + t[71] - 
       2*t[72] + 3*t[73] - t[74]/2 + 3*t[75] + 5*t[76] + t[77]/2 - 3*t[78] - 
       3*t[79] + 3*t[80] + t[81]/4 - (5*t[82])/4 - 10*t[83] - (35*t[84])/8 - 
       18*t[86] + (13*t[87])/4 - (23*t[88])/8 - (81*t[89])/16 + t[95] + 
       t[96] - t[97]/2 + 22*t[98] - 24*t[99] + (41*t[100])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*Phi6[u, v, w]*
      (-t[1]/4 + t[3]/2 - (5*t[4])/4 + (3*t[5])/8 + (7*t[6])/16 - 
       (3*t[9])/8 - (5*t[10])/8 - (13*t[11])/16 - (3*t[12])/8 - (3*t[13])/8 - 
       (5*t[14])/16 - (5*t[15])/48 - t[46]/4 + (3*t[48])/16 - t[49]/8 + 
       (3*t[50])/16 + t[51]/4 - (3*t[52])/16 + t[53]/8 + t[54]/16 - 7*t[60] - 
       (25*t[61])/4 + (9*t[62])/4 - (7*t[63])/8 + (91*t[64])/16 - 
       (43*t[65])/48 + (129*t[66])/16 + (3*t[73])/2 + t[75]/2 + t[76] + 
       t[80] - t[81]/8 + t[82]/8 + (51*t[83])/8 - (23*t[84])/16 - 
       (9*t[85])/8 + 2*t[86] + (9*t[87])/2 + (9*t[88])/4 - (25*t[89])/16 + 
       4*t[98] - 12*t[99] + 22*t[100]) + HPL[{0, 1}, 1 - u]*J1[v, w, u]*
      (-t[1]/16 - (35*t[2])/8 + (77*t[3])/32 - (155*t[4])/32 + 
       (297*t[5])/64 - 3*t[6] - (121*t[7])/32 - (243*t[8])/32 - 
       (453*t[9])/64 + (363*t[10])/64 - (263*t[11])/32 - (7*t[12])/16 - 
       (779*t[13])/144 - (845*t[14])/128 - (617*t[15])/128 + (5*t[18])/8 + 
       (3*t[20])/4 - (3*t[22])/4 + (3*t[24])/4 - (13*t[28])/8 + (3*t[30])/4 + 
       t[32]/8 - (13*t[33])/8 + (3*t[35])/8 + t[37]/8 + 2*t[44] + 
       (11*t[47])/8 - t[48]/16 - (13*t[49])/64 + (9*t[50])/16 + 
       (13*t[51])/128 - (9*t[52])/16 + (13*t[53])/64 - (5*t[54])/32 - 
       (5*t[59])/8 - (283*t[60])/32 - (435*t[61])/32 + (377*t[62])/64 + 
       (807*t[63])/64 + (457*t[64])/64 + (103*t[65])/32 + (401*t[66])/32 + 
       t[69]/8 - (5*t[70])/8 + (5*t[71])/8 - (3*t[72])/4 + t[74]/2 + 
       (5*t[75])/4 - t[77]/8 + (5*t[78])/4 + 2*t[79] + t[80]/4 - t[81]/8 + 
       (7*t[82])/4 - (3*t[83])/4 - (73*t[84])/32 - (3*t[85])/32 - 
       (41*t[86])/4 + (101*t[87])/32 + (101*t[88])/64 - t[89]/64 + 
       (9*t[99])/2 + (197*t[100])/8) + HPL[{0, 1}, 1 - v]*J1[v, w, u]*
      (t[1]/16 - (27*t[2])/16 + (9*t[3])/16 - (283*t[4])/32 + (419*t[5])/64 - 
       (71*t[6])/16 + (21*t[7])/32 - (161*t[8])/32 - (115*t[9])/64 - 
       (25*t[10])/64 - (41*t[11])/8 + (63*t[12])/32 - (1543*t[13])/576 - 
       (2447*t[14])/384 - (1403*t[15])/384 + (5*t[18])/8 + (3*t[20])/4 - 
       (3*t[22])/4 + (3*t[24])/4 - (13*t[28])/8 + (3*t[30])/4 + t[32]/8 - 
       (13*t[33])/8 + (3*t[35])/8 + (9*t[37])/8 + t[43] - t[47]/8 + 
       (11*t[48])/32 - (77*t[49])/64 + (5*t[50])/32 + (77*t[51])/128 - 
       (5*t[52])/32 + (77*t[53])/64 + t[54]/4 - (5*t[59])/8 - 
       (267*t[60])/32 - (443*t[61])/32 - (275*t[62])/64 + (115*t[63])/64 + 
       (1769*t[64])/64 + (581*t[65])/96 + (109*t[66])/32 - t[69]/8 - 
       (5*t[70])/8 + (5*t[71])/8 - (3*t[72])/4 + t[74]/2 + (11*t[75])/4 - 
       t[77]/8 + (5*t[78])/4 + (7*t[79])/4 + (9*t[80])/4 - t[81]/8 + 
       t[82]/4 + (23*t[83])/16 - (73*t[84])/32 - (3*t[85])/32 + 
       (43*t[86])/4 + (133*t[87])/32 + (133*t[88])/64 + (159*t[89])/64 + 
       (9*t[99])/2 + (197*t[100])/8) + HPL[{0, 1}, 1 - v]^2*Phi6[u, v, w]*
      ((3*t[1])/8 - t[2]/16 + (3*t[3])/32 + (7*t[4])/4 - (81*t[5])/8 - 
       (311*t[6])/64 - (131*t[7])/32 + (43*t[8])/32 - t[9]/16 + 
       (209*t[10])/32 - (411*t[11])/64 - (3*t[12])/8 - (3925*t[13])/576 - 
       (33*t[14])/64 - (2467*t[15])/576 - t[20] - t[21] + (3*t[22])/2 + 
       t[23] - t[24]/2 - (3*t[28])/2 - (5*t[29])/8 + (3*t[30])/4 + t[32]/4 - 
       (5*t[33])/4 - (3*t[34])/2 + (5*t[35])/2 - (7*t[36])/4 + t[38]/2 - 
       (3*t[39])/4 + (3*t[40])/2 - t[41]/2 + t[42]/2 - (9*t[43])/32 + 
       t[44]/16 + (9*t[45])/4 + (3*t[46])/8 - t[47]/2 - (67*t[48])/64 + 
       (23*t[49])/16 - (55*t[50])/64 - (13*t[51])/16 - (41*t[52])/64 - 
       (23*t[53])/16 + (23*t[54])/64 + t[57]/2 + t[59]/8 - (65*t[60])/32 - 
       (499*t[61])/32 - (745*t[62])/64 - (799*t[63])/64 + (833*t[64])/64 - 
       t[65]/32 - (677*t[66])/96 - t[72]/2 + (3*t[73])/2 - (5*t[75])/2 - 
       (5*t[76])/4 + t[77]/4 + (3*t[78])/2 - (5*t[79])/2 - (19*t[80])/4 + 
       (7*t[81])/4 - (13*t[82])/2 + 2*t[83] - (31*t[84])/32 + (65*t[85])/32 + 
       (167*t[86])/8 + (55*t[87])/32 + (55*t[88])/64 + (117*t[89])/64 - 
       t[97]/4 - 5*t[98] + 6*t[99] + 25*t[100]) + HPL[{0, 1}, 1 - u]^2*
      Phi6[u, v, w]*((3*t[1])/8 + (23*t[2])/16 + (167*t[3])/32 - 
       (17*t[4])/4 + (57*t[5])/8 + (33*t[6])/64 - (231*t[7])/32 + 
       (7*t[8])/32 - (187*t[9])/16 + (69*t[10])/32 - (803*t[11])/64 - 
       (17*t[12])/4 - (2713*t[13])/576 - (681*t[14])/64 - (763*t[15])/576 - 
       t[19]/2 + t[20]/2 + t[21]/2 - t[23]/2 + t[24] + (7*t[29])/8 + 
       (3*t[30])/4 + t[32]/4 + t[33]/4 - (3*t[34])/2 - t[35]/2 + t[36]/4 + 
       t[37]/2 + t[38]/2 - (3*t[39])/4 + (3*t[40])/2 + t[41]/4 - t[42]/4 - 
       (9*t[43])/32 + t[44]/16 + (11*t[45])/4 - (5*t[46])/8 - (7*t[47])/2 + 
       (197*t[48])/64 + (3*t[49])/16 - (95*t[50])/64 + (9*t[51])/16 - 
       t[52]/64 - (3*t[53])/16 - (33*t[54])/64 + t[57]/2 + t[59]/8 - 
       (201*t[60])/32 - (587*t[61])/32 + (579*t[62])/64 - (251*t[63])/64 + 
       (385*t[64])/64 + (665*t[65])/96 + (1903*t[66])/96 - t[72]/2 + 
       t[73]/2 - t[75]/2 - (5*t[76])/4 + t[77]/4 - t[78]/2 - t[79]/2 - 
       (7*t[80])/4 - (5*t[81])/4 - t[82]/2 - (19*t[83])/4 - (39*t[84])/32 + 
       t[85]/32 + (7*t[86])/8 + (151*t[87])/32 + (151*t[88])/64 + 
       (229*t[89])/64 - t[97]/4 - 5*t[98] + 6*t[99] + 25*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      (-t[1] + (3*t[3])/4 + (17*t[4])/2 - 6*t[5] - (31*t[6])/8 + 
       (27*t[7])/4 - (107*t[8])/4 + (35*t[9])/4 - (11*t[10])/2 - 
       (47*t[11])/8 - t[12] + (26*t[13])/9 - 2*t[14] - (161*t[15])/24 - 
       (3*t[29])/2 + 4*t[31] + 10*t[35] + 2*t[37] - (3*t[43])/2 + 
       (13*t[44])/4 - 2*t[46] - (59*t[48])/8 + (27*t[49])/4 + (25*t[50])/8 - 
       (15*t[51])/8 - (25*t[52])/8 - (27*t[53])/4 - (89*t[54])/8 + 
       (37*t[60])/4 - (21*t[61])/2 - (15*t[62])/4 + (45*t[63])/4 - 55*t[64] - 
       (26*t[65])/3 - (68*t[66])/3 + 2*t[69] - 4*t[74] - 2*t[75] - 7*t[79] - 
       18*t[80] - t[81]/2 - (7*t[82])/2 + 14*t[83] - (5*t[84])/2 + 
       (39*t[85])/4 + 11*t[86] - (35*t[87])/4 - (35*t[88])/8 - (9*t[89])/8 + 
       8*t[99] + 26*t[100]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      Phi6[u, v, w]*(t[3]/2 - (5*t[4])/4 + (91*t[5])/8 + (5*t[6])/4 - 
       (47*t[7])/8 + (67*t[8])/8 - (19*t[9])/2 + (21*t[10])/8 - 
       (17*t[11])/4 - (55*t[12])/8 - (13*t[13])/24 + (35*t[14])/6 + 
       (89*t[15])/24 + 2*t[28] - 4*t[29] + 4*t[30] + (13*t[43])/8 - 5*t[44] + 
       (13*t[45])/4 - (13*t[47])/2 + (9*t[49])/4 - 2*t[50] - (9*t[51])/8 + 
       2*t[52] - (9*t[53])/4 - t[54]/2 - 6*t[60] - (17*t[61])/2 + 
       (27*t[62])/2 + (17*t[63])/2 - (27*t[64])/4 - (13*t[65])/6 + 
       (19*t[66])/2 - 4*t[73] + 7*t[75] - 3*t[79] + t[81] - t[82] - t[83] - 
       (7*t[84])/2 - t[85] - 7*t[86] + 3*t[87] + (3*t[88])/2 + (17*t[89])/4 + 
       8*t[99] + 26*t[100]) + F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      (t[3]/4 + (7*t[4])/8 + (9*t[5])/16 - (3*t[6])/2 + (17*t[7])/8 - 
       (47*t[8])/8 + (67*t[9])/16 - (3*t[10])/16 + (5*t[11])/2 - 
       (3*t[12])/8 + (15*t[13])/16 + (295*t[14])/96 - (23*t[15])/32 + 
       t[28]/2 - t[44]/2 - (13*t[48])/8 + (5*t[49])/16 + (13*t[50])/8 - 
       (5*t[51])/32 - (13*t[52])/8 - (5*t[53])/16 - (9*t[54])/4 - 
       (7*t[60])/8 - (47*t[61])/8 + (17*t[62])/16 - (21*t[63])/16 - 
       (15*t[64])/16 - (185*t[65])/24 + (37*t[66])/24 + (3*t[73])/2 + t[76] - 
       t[79] + t[80] + t[81]/2 - t[82]/2 + 8*t[83] - (7*t[84])/8 + t[85]/8 + 
       t[86] - (11*t[87])/8 - (11*t[88])/16 - (41*t[89])/16 + 4*t[98] - 
       12*t[99] + (53*t[100])/2) + F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*(-t[1]/2 + (3*t[2])/4 + (3*t[3])/8 + (15*t[4])/8 + 
       (5*t[5])/16 - (3*t[6])/8 - (3*t[7])/2 - (9*t[8])/4 - (9*t[9])/16 - 
       (57*t[10])/16 + t[11]/4 + (9*t[12])/8 + (5*t[13])/6 + (29*t[14])/96 - 
       (13*t[15])/32 + t[31] + (5*t[35])/2 - t[37]/2 - t[43]/4 + t[46]/4 - 
       (7*t[48])/8 + (9*t[49])/16 + t[50]/8 - (15*t[51])/32 - t[52]/8 - 
       (9*t[53])/16 - (5*t[54])/4 - t[59]/4 - (33*t[60])/8 - (79*t[61])/8 + 
       (87*t[62])/16 - (19*t[63])/16 + (19*t[64])/16 - (97*t[65])/24 + 
       (59*t[66])/8 - t[69]/2 + 2*t[73] + t[74]/2 + t[76] - t[79]/2 + t[80] + 
       (21*t[83])/4 - (11*t[84])/8 + (11*t[85])/8 - t[86]/2 + (7*t[87])/8 + 
       (7*t[88])/16 - (27*t[89])/16 + 4*t[98] - 12*t[99] + (53*t[100])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[v, w, u]*((-7*t[2])/2 + 4*t[3] - 
       (11*t[4])/2 + (35*t[5])/4 - (11*t[7])/2 - (7*t[8])/2 - (35*t[9])/4 + 
       (11*t[10])/4 - (23*t[11])/2 - t[12]/2 - (16*t[13])/3 - 
       (167*t[14])/24 - (23*t[15])/24 + t[24] - t[35] + t[44] + t[45] - 
       3*t[47] + t[48] - t[49]/4 - t[50] + t[51]/8 + t[52] + t[53]/4 + 
       (3*t[54])/2 + t[59]/2 - (45*t[60])/4 - (65*t[61])/4 + (91*t[62])/8 + 
       (65*t[63])/8 + (83*t[64])/8 - (7*t[65])/4 + (50*t[66])/3 + t[74] - 
       2*t[79] - 2*t[80] + 2*t[83] - (5*t[84])/2 - t[85]/2 - 15*t[86] + 
       (13*t[87])/2 + (13*t[88])/4 - t[89]/8 + (57*t[100])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[v, w, u]*(2*t[3] - (15*t[4])/2 + 
       (5*t[5])/4 - 5*t[6] + t[7]/2 - 7*t[8] - (5*t[9])/4 + (9*t[10])/4 - 
       (17*t[11])/2 + t[12]/2 - (31*t[13])/6 - (133*t[14])/24 - 
       (125*t[15])/24 - 2*t[28] - 2*t[33] + t[37] + t[43]/2 - t[48] - 
       (3*t[49])/4 + t[50] + (3*t[51])/8 - t[52] + (3*t[53])/4 - t[54]/2 - 
       (25*t[60])/2 - (33*t[61])/2 - (13*t[62])/4 - (5*t[63])/4 + 
       (113*t[64])/4 + (7*t[65])/2 + (59*t[66])/6 + t[73] + 2*t[74] - 
       3*t[75] + 8*t[83] - (5*t[84])/2 - t[85]/2 + 8*t[86] + (15*t[87])/2 + 
       (15*t[88])/4 + (3*t[89])/4 + (57*t[100])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-5*t[2])/2 - (43*t[3])/16 - (37*t[4])/4 - (23*t[5])/4 + 3*t[6] - 
       (27*t[7])/8 + (115*t[8])/8 + (37*t[9])/4 + (3*t[10])/8 - 
       (69*t[11])/4 + t[12] - (1543*t[13])/144 + (35*t[14])/48 - 
       (1649*t[15])/288 - t[20] + 2*t[21] - 2*t[23] + 5*t[28] + t[29]/4 - 
       (3*t[30])/2 - (7*t[32])/4 + 2*t[33] - 4*t[35] + t[37] + 2*t[39] + 
       (3*t[41])/2 - t[42] + t[43]/2 - (25*t[44])/8 + 3*t[47] + 
       (33*t[48])/8 - (9*t[49])/8 - (43*t[50])/8 + (9*t[51])/16 + 
       (43*t[52])/8 + (9*t[53])/8 + (17*t[54])/2 - (13*t[60])/4 - 
       (149*t[61])/8 + (121*t[62])/16 - (253*t[63])/16 + (353*t[64])/16 + 
       (79*t[65])/24 + (317*t[66])/24 - t[69] - t[70] + t[71] + 2*t[72] + 
       t[73] + t[74] + 5*t[75] + 2*t[76] - (5*t[78])/2 + 3*t[79] + 5*t[80] + 
       t[82]/2 + (5*t[83])/2 + (9*t[84])/8 + (15*t[85])/8 + 7*t[86] + 
       (23*t[87])/8 + (23*t[88])/16 + (11*t[89])/2 + 10*t[98] - 26*t[99] + 
       29*t[100]) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (-t[1] - (29*t[2])/4 + (5*t[3])/2 - (29*t[4])/4 + (15*t[5])/8 - 
       (51*t[6])/16 + (3*t[7])/16 + (201*t[8])/16 + (45*t[9])/16 - 
       (117*t[10])/16 - (153*t[11])/8 - (3*t[12])/2 - (4591*t[13])/288 - 
       (199*t[14])/16 - (721*t[15])/96 - t[20] + 2*t[21] - 2*t[23] + 
       3*t[28] - t[30] + t[31] - t[32] + t[33] - t[34] + 2*t[37] + 2*t[39] + 
       (3*t[41])/2 - t[42] + (3*t[43])/16 + t[44] - (19*t[45])/8 + t[46]/2 + 
       (23*t[47])/4 + (15*t[48])/4 - (3*t[49])/8 - (17*t[50])/4 - 
       (3*t[51])/16 + (17*t[52])/4 + (3*t[53])/8 + (9*t[54])/2 - 
       (77*t[60])/4 - 39*t[61] + (71*t[62])/4 - (19*t[63])/4 + 
       (177*t[64])/4 + (85*t[65])/12 + (239*t[66])/6 - t[70] + t[71] + 
       2*t[72] + 3*t[73] + 2*t[74] + 2*t[75] + 2*t[76] - (5*t[78])/2 + 
       7*t[79] + 4*t[80] - t[81] + (11*t[82])/2 + (7*t[83])/2 - (7*t[84])/4 - 
       (3*t[85])/2 + (9*t[86])/2 + 11*t[87] + (11*t[88])/2 + (45*t[89])/8 + 
       10*t[98] - 26*t[99] + 29*t[100]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      K1[u, v, w]*((3*t[2])/2 - (7*t[3])/2 - 7*t[4] + 9*t[5] - t[6] + 
       2*t[7] + t[8] + (3*t[9])/2 - t[10] - (17*t[11])/2 + (5*t[12])/2 - 
       (143*t[13])/36 - (19*t[14])/3 - (3*t[15])/4 + t[24] + t[28] + t[31] + 
       t[33] - t[35] + t[43]/2 + t[44] - t[45] + t[47] + t[48]/2 - t[49] - 
       t[50]/2 + t[51]/2 + t[52]/2 + t[53] + (3*t[54])/2 - 7*t[60] - 
       (19*t[61])/2 + 3*t[62] + (5*t[63])/4 + (65*t[64])/4 + (10*t[65])/3 + 
       (38*t[66])/3 - t[73] + t[74] + 2*t[75] - t[76] - 2*t[79] + 2*t[80] - 
       2*t[81] + 4*t[82] + t[83] - 2*t[84] - t[85] + 4*t[86] + 6*t[87] + 
       3*t[88] - 6*t[98] + 30*t[100]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      K1[w, u, v]*(-2*t[2] + (9*t[3])/2 - 7*t[4] - (11*t[5])/2 - (9*t[6])/2 + 
       (3*t[7])/2 - (17*t[8])/4 - 2*t[9] + (5*t[10])/2 - 6*t[11] - t[12]/2 - 
       (287*t[13])/36 - (16*t[14])/3 - (31*t[15])/12 - 2*t[28] + t[32] - 
       2*t[33] + t[43]/2 + t[44] + 2*t[47] - t[48] - t[49] + t[50] + 
       t[51]/2 - t[52] + t[53] - t[59]/2 - (39*t[60])/4 - (53*t[61])/4 - 
       (21*t[62])/8 + (27*t[63])/8 + (181*t[64])/8 + (25*t[65])/6 + 
       (139*t[66])/6 - 2*t[73] + t[74] - t[76] - t[77] - t[78] + 4*t[79] + 
       2*t[80] - (5*t[81])/2 + (3*t[82])/2 + 6*t[83] - 3*t[84] + t[85]/4 + 
       6*t[86] + (31*t[87])/4 + (31*t[88])/8 + (9*t[89])/8 - 6*t[98] + 
       30*t[100]) + A11[u, v, w]*HPL[{1}, 1 - v]*((7*t[1])/4 - (3*t[2])/4 + 
       2*t[3] - (37*t[4])/8 - (3*t[5])/8 - (21*t[6])/4 + (105*t[7])/16 + 
       (35*t[8])/16 + (75*t[9])/16 - (7*t[10])/2 + (57*t[11])/16 + 
       (45*t[12])/16 + (217*t[13])/96 - (155*t[14])/32 - (305*t[15])/96 + 
       t[18] + t[21] - t[23] + t[24] - t[25] + t[26]/2 + t[27] + t[34] + 
       t[38] + t[41]/4 + t[42]/4 - (31*t[43])/16 + t[44]/2 - (9*t[45])/8 + 
       (3*t[46])/4 + (17*t[47])/4 - (7*t[48])/16 - (21*t[49])/16 + 
       (17*t[50])/16 + (11*t[51])/32 - (33*t[52])/16 + (21*t[53])/16 - 
       (23*t[54])/16 - (3*t[59])/2 - (7*t[60])/4 - (27*t[61])/2 - 
       (39*t[62])/4 - (91*t[63])/4 + (57*t[64])/4 + (95*t[65])/4 - 
       (65*t[66])/12 - 2*t[70] + 2*t[71] - t[74] + 2*t[76] - 2*t[78] + 
       4*t[80] - t[81]/2 + (5*t[82])/2 - t[84]/2 + (7*t[85])/4 + 
       (25*t[86])/2 + (5*t[87])/4 + (5*t[88])/8 + (73*t[89])/8 + 12*t[98] - 
       18*t[99] + 30*t[100]) + A11[u, v, w]*HPL[{1}, 1 - u]*
      (-t[1]/4 - (13*t[2])/8 + (167*t[3])/16 + (3*t[4])/8 + (45*t[5])/16 - 
       (15*t[6])/2 - (23*t[7])/8 - (123*t[8])/8 - (67*t[9])/16 + 
       (9*t[10])/16 - (11*t[11])/4 - (7*t[12])/4 + t[13]/48 - 
       (1003*t[14])/96 - (197*t[15])/72 + (3*t[29])/4 + t[30]/2 - 
       (11*t[32])/4 - t[33]/2 + t[34]/2 + t[37]/2 + t[40] - t[41]/2 + 
       t[42]/2 + t[43]/4 - (3*t[44])/8 - t[45] + (3*t[47])/2 - (19*t[48])/8 + 
       (15*t[49])/16 - (3*t[50])/8 - (15*t[51])/32 - (9*t[52])/8 - 
       (15*t[53])/16 - (39*t[54])/8 - (3*t[59])/4 - (127*t[60])/8 - 
       (97*t[61])/4 + (87*t[62])/8 + (29*t[63])/8 + (87*t[64])/8 + 
       (19*t[65])/8 + (57*t[66])/8 - t[70] + t[71] - 2*t[72] - t[74]/2 + 
       2*t[76] - t[77]/2 - 3*t[78] + t[80] - t[81]/4 + (3*t[82])/4 - t[83] - 
       (31*t[84])/8 + (5*t[85])/4 + t[86] + 4*t[87] - (5*t[88])/2 + 
       (21*t[89])/16 + t[95] + t[96] - t[97]/2 + 12*t[98] - 18*t[99] + 
       30*t[100]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - w]*
      ((9*t[3])/2 - 10*t[4] + (5*t[5])/4 - (15*t[7])/2 + (13*t[8])/2 - 
       (35*t[9])/4 - 6*t[10] - 18*t[11] + (3*t[12])/2 - (631*t[13])/36 - 
       (857*t[14])/48 + (9*t[15])/8 + 4*t[30] - 2*t[43] - 4*t[44] + 6*t[48] - 
       (3*t[49])/4 - 2*t[50] + (39*t[51])/16 + 2*t[52] + (3*t[53])/4 + 
       2*t[54] - (43*t[60])/2 - (33*t[61])/4 + (193*t[62])/8 + 
       (111*t[63])/8 + (153*t[64])/8 + (85*t[65])/6 + 44*t[66] - 5*t[73] - 
       10*t[76] - 4*t[77] + 8*t[78] - 8*t[80] - 7*t[81] + 9*t[82] + 
       13*t[83] - 6*t[84] - 8*t[85] - 8*t[86] + 20*t[87] + 10*t[88] + t[89] - 
       78*t[98] + 96*t[99] + 30*t[100]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*(-6*t[2] + 7*t[3] - (27*t[4])/4 + 
       t[5] - 3*t[6] - (3*t[8])/2 - 17*t[9] + (7*t[10])/8 - (55*t[11])/4 - 
       (7*t[12])/8 - (26*t[13])/3 - (175*t[14])/12 - (7*t[15])/24 - 2*t[28] - 
       2*t[29] + 4*t[30] + 2*t[33] + 4*t[44] - (3*t[48])/2 - t[49]/8 - 
       t[50]/2 + (7*t[51])/8 + t[52]/2 + t[53]/8 + (5*t[54])/4 - 
       (85*t[60])/4 - (55*t[61])/2 + (13*t[62])/4 + (9*t[63])/4 + 
       (59*t[64])/2 - (7*t[65])/3 + (115*t[66])/3 - 4*t[73] - 4*t[74] + 
       7*t[75] - 4*t[79] + t[81]/2 - t[82]/2 + 9*t[83] - (13*t[84])/2 - 
       (11*t[85])/4 + 4*t[86] + (59*t[87])/4 + (59*t[88])/8 + (33*t[89])/8 + 
       4*t[99] + 33*t[100]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      Phi6[u, v, w]*((-9*t[2])/4 + (3*t[3])/2 - (3*t[4])/4 - 3*t[5] - 
       (3*t[6])/2 + (41*t[7])/4 + t[8]/4 + (11*t[9])/4 + (5*t[10])/8 - 
       (27*t[11])/4 + (23*t[12])/8 - (203*t[13])/18 + (5*t[14])/8 - 
       (47*t[15])/12 - t[19] - 2*t[24] + 4*t[31] + 4*t[35] + t[37] + 
       2*t[43] + 3*t[45] - t[47] - (3*t[48])/2 + (3*t[49])/8 - (5*t[50])/2 - 
       t[51] + (5*t[52])/2 - (3*t[53])/8 + (5*t[54])/4 + (11*t[60])/4 - 
       21*t[61] - (9*t[62])/2 + 19*t[63] + (39*t[64])/4 - 2*t[65] - 
       (29*t[66])/6 - 4*t[74] - 4*t[79] - 14*t[80] - (3*t[81])/2 - t[82]/2 + 
       3*t[83] - 2*t[84] + (31*t[85])/4 + 10*t[86] - (15*t[87])/4 - 
       (15*t[88])/8 + (65*t[89])/8 + 4*t[99] + 33*t[100]) + 
     HPL[{0, 1}, 1 - w]^2*Phi6[u, v, w]*((3*t[1])/8 + (11*t[2])/16 + 
       (119*t[3])/32 + 5*t[4] + (23*t[5])/8 - (379*t[6])/64 - (15*t[7])/32 - 
       (409*t[8])/32 - (81*t[9])/16 + (217*t[10])/32 + (265*t[11])/64 - 
       (25*t[12])/8 + (3407*t[13])/576 - (1715*t[14])/192 + (137*t[15])/576 + 
       t[20]/2 - t[21] + t[23] - t[24]/2 - t[27]/2 - 2*t[28] - t[29]/8 + 
       (11*t[30])/4 + t[32]/4 + t[33]/4 - (3*t[34])/2 + (9*t[35])/2 - 
       (3*t[36])/4 - t[37]/2 + t[38]/2 - (11*t[39])/4 + (3*t[40])/2 - 
       (3*t[41])/4 + (3*t[42])/4 + (23*t[43])/32 + (33*t[44])/16 + 
       (13*t[45])/4 - t[46]/8 - 3*t[47] - (223*t[48])/64 + (41*t[49])/16 + 
       (285*t[50])/64 - (3*t[51])/8 - (381*t[52])/64 - (41*t[53])/16 - 
       (525*t[54])/64 + t[57]/2 + t[59]/8 + (103*t[60])/32 - (523*t[61])/32 - 
       (233*t[62])/64 - (559*t[63])/64 - (15*t[64])/64 + (123*t[65])/32 - 
       (227*t[66])/32 + (3*t[69])/2 - 2*t[72] + (3*t[73])/2 - 3*t[74] - 
       t[75] - (9*t[76])/4 + t[77]/4 + (7*t[78])/2 - (11*t[79])/2 - 
       (9*t[80])/4 + 2*t[81] - (31*t[82])/4 + t[83]/4 - (35*t[84])/32 + 
       (25*t[85])/32 + (127*t[86])/8 - (9*t[87])/32 - (9*t[88])/64 + 
       (325*t[89])/64 - t[97]/4 - 11*t[98] + 14*t[99] + (81*t[100])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*(5*t[2] + t[3]/4 - 
       (131*t[4])/8 + (253*t[5])/32 + (71*t[6])/16 + (9*t[7])/16 + 
       (237*t[8])/16 + (55*t[9])/32 + (21*t[10])/4 - (411*t[11])/16 + 
       (289*t[12])/32 - (3839*t[13])/288 - (877*t[14])/48 - 
       (4217*t[15])/576 - t[24] - 2*t[25] + (5*t[26])/2 + 2*t[27] - t[28] - 
       (3*t[29])/4 - (3*t[30])/2 + (13*t[32])/4 - t[33] - t[34] + t[35] + 
       (5*t[36])/2 + (5*t[37])/2 + t[39]/2 - (5*t[40])/2 + t[41]/4 - 
       t[42]/4 - (15*t[43])/8 + (11*t[44])/8 - (9*t[45])/8 + (15*t[47])/4 + 
       (43*t[48])/8 - (69*t[49])/16 + (23*t[50])/8 + (17*t[51])/32 + 
       (9*t[52])/8 + (69*t[53])/16 + (55*t[54])/8 + t[58]/2 - t[59]/2 - 
       (253*t[60])/8 - (367*t[61])/8 + (19*t[62])/16 - (351*t[63])/16 + 
       (637*t[64])/16 + (323*t[65])/12 + (137*t[66])/3 + t[70] - t[71] + 
       t[72] + 2*t[73] + t[74]/2 - 10*t[75] - (7*t[76])/2 - t[77]/2 + 
       2*t[78] + 3*t[79] - (21*t[80])/2 - (25*t[81])/4 + (17*t[82])/4 + 
       (9*t[83])/2 - (19*t[84])/8 - 4*t[85] + (83*t[86])/4 + (107*t[87])/4 + 
       (143*t[88])/8 + (191*t[89])/16 - t[95] - t[96] - 24*t[98] + 18*t[99] + 
       45*t[100]) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-7*t[1])/4 - (51*t[2])/8 + (7*t[3])/2 - (37*t[4])/8 - (109*t[5])/8 + 
       (133*t[6])/32 - (469*t[7])/16 - (117*t[8])/16 - (111*t[9])/8 + 
       (37*t[10])/8 - (759*t[11])/32 - (167*t[12])/16 - (3559*t[13])/288 - 
       9*t[14] - (125*t[15])/144 - t[18] - t[21] + t[23] + t[25] - t[26]/2 - 
       t[27] + t[28] + (3*t[29])/2 + (3*t[30])/2 - t[32]/2 + (3*t[33])/2 - 
       t[35] - (5*t[36])/2 - 2*t[37] - (3*t[38])/2 - t[39] + t[40]/4 - 
       (5*t[41])/4 + (3*t[42])/4 + (39*t[43])/16 - (3*t[44])/4 + 
       (17*t[45])/8 + 2*t[46] - (35*t[47])/4 + (81*t[48])/32 - 
       (81*t[49])/16 - (75*t[50])/32 + (13*t[51])/32 + (139*t[52])/32 + 
       (49*t[53])/16 + (251*t[54])/32 + (19*t[60])/16 - (563*t[61])/16 + 
       (1295*t[62])/32 + (705*t[63])/32 - (395*t[64])/32 - (427*t[65])/48 + 
       (1835*t[66])/48 + 2*t[70] - 2*t[71] - t[72] - 2*t[73] + t[74] + 
       8*t[75] - (13*t[76])/2 + t[77] + (21*t[78])/2 - 7*t[79] - 3*t[80] + 
       t[81]/2 - 4*t[82] - (15*t[83])/2 + (69*t[84])/16 + (41*t[85])/16 - 
       (59*t[86])/2 + (23*t[87])/16 + (23*t[88])/32 - (23*t[89])/32 - 
       3*t[96] - 2*t[97] - 24*t[98] + 18*t[99] + 45*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*((5*t[3])/2 - 7*t[4] - 
       (3*t[5])/16 - 3*t[6] - (47*t[7])/8 - (19*t[8])/8 - (33*t[9])/16 + 
       (69*t[10])/8 - (131*t[11])/8 - (17*t[12])/16 - (71*t[13])/8 - 
       (251*t[14])/48 - (119*t[15])/96 + t[20]/2 - (3*t[28])/2 + t[30] + 
       t[31] + t[32]/2 - t[33] + t[35] - t[43]/4 + t[45] - 2*t[47] - 
       t[48]/4 - t[49]/4 + t[50]/4 + t[51]/8 - t[52]/4 + t[53]/4 + 
       (7*t[54])/4 + t[59] - 9*t[60] - (73*t[61])/4 + (65*t[62])/8 - 
       (13*t[63])/8 - (95*t[64])/8 + t[65]/4 + (77*t[66])/4 + t[69]/2 + 
       t[73]/2 + t[74] - (11*t[75])/2 - 2*t[76] + 2*t[78] - (3*t[79])/2 - 
       3*t[80] - 3*t[81] + 2*t[82] + (55*t[83])/4 - 4*t[84] - 4*t[85] - 
       (5*t[86])/2 + (19*t[87])/2 + (19*t[88])/4 - (39*t[89])/8 - 18*t[98] + 
       20*t[99] + (91*t[100])/2) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*(t[1]/4 - 2*t[2] + (21*t[3])/8 - (35*t[4])/4 + 
       (59*t[5])/16 - (33*t[6])/16 - 7*t[7] - (31*t[8])/4 - (57*t[9])/16 + 
       (57*t[10])/8 - (231*t[11])/16 - (13*t[12])/16 - (355*t[13])/48 - 
       (167*t[14])/24 + (35*t[15])/96 - t[21]/2 + t[23]/2 + t[27]/2 - 
       t[30]/2 - t[35]/2 - t[41]/4 + t[42]/4 - t[44]/2 + (3*t[45])/2 + 
       t[46]/4 - 4*t[47] + (15*t[48])/16 - (9*t[49])/8 + (3*t[50])/16 + 
       t[51]/2 - (3*t[52])/16 + (9*t[53])/8 + (41*t[54])/16 + (5*t[59])/4 - 
       (95*t[60])/8 - (165*t[61])/8 + (289*t[62])/16 + (75*t[63])/16 - 
       (11*t[64])/16 + (89*t[65])/24 + (587*t[66])/24 + t[69]/2 - t[73] + 
       t[74] - t[75]/2 - 2*t[76] + t[78] + (3*t[79])/2 - 4*t[80] - 
       (7*t[81])/2 + (9*t[82])/2 + (31*t[83])/4 - (29*t[84])/8 - 
       (27*t[85])/8 - (31*t[86])/2 + (93*t[87])/8 + (93*t[88])/16 - 
       (17*t[89])/16 - 18*t[98] + 20*t[99] + (91*t[100])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*(t[1] - (3*t[2])/8 + 
       (173*t[3])/16 - (39*t[4])/16 + (117*t[5])/32 - (43*t[6])/4 - 
       (9*t[7])/4 - (97*t[8])/8 - (223*t[9])/32 + (569*t[10])/32 - 
       (135*t[11])/16 - (25*t[12])/4 - (217*t[13])/72 - (3659*t[14])/192 + 
       (673*t[15])/576 + t[18] + t[20] - 2*t[21] + 2*t[23] - t[24] - 
       t[26]/2 - 4*t[28] - t[30] - (3*t[32])/2 - t[33]/2 - 4*t[34] + 
       4*t[35] + t[36]/2 + (3*t[38])/2 - (7*t[39])/2 + 3*t[40] - t[41] + 
       t[42] - (7*t[43])/16 + (25*t[45])/4 - t[46]/4 - (13*t[47])/2 - 
       (7*t[48])/8 - (41*t[49])/32 + (17*t[50])/8 + (97*t[51])/64 - 
       (41*t[52])/8 + (41*t[53])/32 - (67*t[54])/16 + t[57] + t[59] - 
       (109*t[60])/16 - (511*t[61])/16 - (295*t[62])/32 - (689*t[63])/32 - 
       (539*t[64])/32 - (17*t[65])/48 + (131*t[66])/16 + t[69] - t[70] + 
       t[71] - 2*t[72] + 2*t[73] - t[74] - 7*t[75] - (9*t[76])/2 + 2*t[79] - 
       (25*t[80])/2 - 4*t[81] + t[82]/2 + (3*t[83])/2 - (31*t[84])/16 - 
       (71*t[85])/16 + (83*t[86])/4 + (193*t[87])/16 + (193*t[88])/32 + 
       (153*t[89])/32 - t[97]/2 - 28*t[98] + 26*t[99] + 46*t[100]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*(t[1] + (269*t[3])/16 + 
       (33*t[4])/16 - (31*t[5])/8 - (245*t[6])/32 - (115*t[7])/8 - 
       (5*t[8])/2 - (417*t[9])/16 + (523*t[10])/32 - (523*t[11])/32 - 
       (349*t[12])/32 - 7*t[13] - (4457*t[14])/192 + (133*t[15])/288 + 
       t[18] + t[20] + 2*t[24] - 2*t[28] - t[29]/4 + (7*t[30])/2 - 2*t[31] + 
       t[32] - 3*t[34] - t[37] + t[38] - 3*t[39] + (5*t[40])/2 + 
       (9*t[44])/8 + (11*t[45])/2 - (11*t[47])/2 + (113*t[48])/32 - 
       (31*t[49])/32 + (29*t[50])/32 + (75*t[51])/64 - (125*t[52])/32 + 
       (31*t[53])/32 - (23*t[54])/32 + (3*t[59])/4 - (113*t[60])/8 - 
       (235*t[61])/8 + (109*t[62])/8 - (135*t[63])/8 - (603*t[64])/16 + 
       (57*t[65])/8 + (1045*t[66])/24 - t[70] + t[71] - 2*t[72] - t[73] - 
       t[74] - 6*t[75] - (7*t[76])/2 - 4*t[79] - 2*t[80] - (7*t[81])/2 - 
       3*t[82] - (7*t[83])/2 - (23*t[84])/8 - (53*t[85])/8 + (69*t[87])/4 + 
       (69*t[88])/8 + (111*t[89])/16 - t[97]/2 - 28*t[98] + 26*t[99] + 
       46*t[100]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - w]*
      ((-37*t[2])/4 + (7*t[3])/2 - (37*t[4])/4 + (13*t[5])/4 - (17*t[6])/2 + 
       (35*t[7])/4 - (41*t[8])/4 + t[9]/2 + (199*t[10])/8 - (99*t[11])/4 - 
       (37*t[12])/8 - (191*t[13])/12 - (41*t[14])/12 + (17*t[15])/24 - 
       t[19]/3 - 2*t[24] + 4*t[31] + t[37] - t[41] + t[42] + 4*t[45] - 
       9*t[47] - 5*t[48] - (3*t[49])/8 + t[50] - (5*t[51])/8 - t[52] + 
       (3*t[53])/8 - (3*t[54])/4 - t[59] - (39*t[60])/4 - (95*t[61])/2 + 
       (19*t[62])/4 + (59*t[63])/4 - 13*t[64] - 3*t[65] + (91*t[66])/3 - 
       4*t[74] - 3*t[79] - 8*t[80] - t[81]/2 + t[82]/2 + 11*t[83] - 
       (9*t[84])/2 + (15*t[85])/4 + t[86] + (5*t[87])/4 + (5*t[88])/8 - 
       (13*t[89])/8 + 54*t[100]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - w]*
      ((15*t[3])/2 - (45*t[4])/4 - (3*t[5])/4 - (5*t[6])/2 - t[7]/2 - 
       5*t[8] - (49*t[9])/4 + t[10]/8 - (87*t[11])/4 + (5*t[12])/8 - 
       (27*t[13])/2 - (271*t[14])/24 - (85*t[15])/36 - 2*t[28] + 4*t[32] - 
       2*t[33] + 4*t[35] + t[48] - (7*t[49])/8 - t[50] + (5*t[51])/4 + 
       t[52] + (7*t[53])/8 + (13*t[54])/4 - t[59] - (67*t[60])/4 - 39*t[61] + 
       (29*t[62])/2 + 4*t[63] + (79*t[64])/4 - (2*t[65])/3 + (164*t[66])/3 - 
       4*t[73] - 4*t[74] + 7*t[75] - 4*t[79] - t[81]/2 + t[82]/2 + 3*t[83] - 
       (9*t[84])/2 - (9*t[85])/4 + 4*t[86] + (29*t[87])/4 + (29*t[88])/8 + 
       (19*t[89])/8 + 54*t[100]) + F1[u, v, w]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((7*t[1])/4 + t[2]/2 + (115*t[3])/16 - (35*t[4])/4 + 
       (169*t[5])/32 - (35*t[6])/8 - 2*t[7] + (11*t[8])/2 - (91*t[9])/32 - 
       (37*t[10])/16 - (23*t[11])/4 + (93*t[12])/32 - (385*t[13])/288 - 
       (151*t[14])/12 - (635*t[15])/192 + t[18] - t[19] + 2*t[21] - 2*t[23] + 
       t[24] - t[25] + t[26]/2 + t[27] + t[28] - t[29] - t[30] + t[33] + 
       t[34] - 4*t[35] + t[37] + t[38] + t[42]/2 - (13*t[43])/16 + t[44]/2 - 
       (15*t[45])/8 + (3*t[46])/4 + (23*t[47])/4 + (19*t[48])/16 + t[49]/16 - 
       (45*t[50])/16 - (11*t[51])/32 + (29*t[52])/16 - t[53]/16 - 
       (37*t[54])/16 - (7*t[59])/4 - (15*t[60])/4 - (55*t[61])/2 - 
       (13*t[62])/2 - 39*t[63] + 2*t[64] + (637*t[65])/24 + (91*t[66])/24 - 
       t[69] - 2*t[70] + 2*t[71] + t[73] - t[74] - t[75] + (9*t[76])/2 + 
       (3*t[77])/2 - (15*t[78])/2 + t[79] + 6*t[80] - (7*t[81])/2 + 
       (13*t[82])/2 - (5*t[84])/2 + (27*t[85])/4 + (35*t[86])/2 + 
       (7*t[87])/4 + (7*t[88])/8 + (101*t[89])/8 + 22*t[98] - 60*t[99] + 
       55*t[100]) + F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (-t[1]/4 + (27*t[2])/8 + (59*t[3])/4 - (27*t[4])/8 + (93*t[5])/16 - 
       (509*t[6])/32 - (15*t[7])/8 - (149*t[8])/8 - (19*t[9])/4 + 
       (27*t[10])/16 - (411*t[11])/32 - (21*t[12])/8 - (53*t[13])/12 - 
       (631*t[14])/24 - (845*t[15])/144 - t[20] + t[22] - t[24] + t[27] + 
       (11*t[29])/4 + t[30]/4 - 3*t[32] - t[33]/4 + t[35] + t[37]/2 + t[40] + 
       t[43]/4 + (17*t[44])/8 - (5*t[45])/2 + t[46]/2 + 6*t[47] - 
       (127*t[48])/32 + (33*t[49])/16 + (9*t[50])/32 - (37*t[51])/32 - 
       (57*t[52])/32 - (33*t[53])/16 - (313*t[54])/32 - t[59] - 
       (573*t[60])/16 - (935*t[61])/16 + (581*t[62])/32 - (53*t[63])/32 + 
       (573*t[64])/32 + (517*t[65])/48 + (1391*t[66])/48 - t[69] - t[70] + 
       t[71] - 2*t[72] + 2*t[73] - t[74]/2 - 5*t[75] + 5*t[76] + t[77]/2 - 
       9*t[78] + 2*t[79] + t[80] - (23*t[81])/4 + (33*t[82])/4 + 
       (11*t[83])/2 - (151*t[84])/16 + (43*t[85])/16 + 13*t[86] + 
       (219*t[87])/16 + (75*t[88])/32 + (141*t[89])/32 + t[95] + t[96] - 
       t[97]/2 + 22*t[98] - 60*t[99] + 55*t[100]) + 
     HPL[{0, 1}, 1 - v]*K1[v, w, u]*(t[2]/2 + 6*t[3] - 21*t[4] + 
       (35*t[5])/8 - (147*t[6])/8 + 3*t[7] - (121*t[8])/4 + (33*t[9])/8 - 
       (5*t[10])/4 - (179*t[11])/8 + (57*t[12])/8 - (265*t[13])/18 - 
       (613*t[14])/24 - (637*t[15])/48 + t[18] - t[21] - t[22] + t[23] - 
       t[24] - 5*t[28] - t[31] - 4*t[33] + 4*t[35] + 2*t[37] - t[39] + 
       t[40] - t[41]/2 + t[42] + t[43] + t[44] - t[45] + 6*t[47] - 
       (19*t[48])/8 - (5*t[49])/4 + (13*t[50])/8 + (5*t[51])/8 - 
       (21*t[52])/8 + (5*t[53])/4 - (21*t[54])/8 - (3*t[59])/2 - 
       (65*t[60])/2 - (121*t[61])/2 - (121*t[62])/8 - (15*t[63])/8 + 
       64*t[64] + (119*t[65])/12 + (109*t[66])/6 - t[70] + t[71] - t[72] + 
       t[73] + t[74] - 4*t[75] - t[77] - (7*t[78])/2 + 10*t[79] + t[80] - 
       2*t[81] + (5*t[82])/2 + 10*t[83] - (33*t[84])/4 + (5*t[85])/4 + 
       41*t[86] + (63*t[87])/4 + (63*t[88])/8 + 3*t[89] + 2*t[98] + 2*t[99] + 
       67*t[100]) + HPL[{0, 1}, 1 - u]*K1[v, w, u]*((-17*t[2])/4 + 12*t[3] - 
       18*t[4] + (149*t[5])/8 - (29*t[6])/8 - 16*t[7] - (35*t[8])/4 - 
       (213*t[9])/8 + (39*t[10])/4 - (271*t[11])/8 - (53*t[12])/8 - 
       (154*t[13])/9 - (575*t[14])/24 - (125*t[15])/16 + t[18] + t[20] - 
       t[22] - t[23] + 3*t[24] + t[32] - t[33] - t[34] + t[35] + t[39] - 
       t[40] + t[41]/2 + t[43]/2 + 2*t[44] + 2*t[45] - t[47] + (41*t[48])/8 - 
       (3*t[49])/4 - (31*t[50])/8 + (3*t[51])/8 + (39*t[52])/8 + 
       (3*t[53])/4 + (31*t[54])/8 - (3*t[59])/2 - (55*t[60])/2 - 53*t[61] + 
       (177*t[62])/8 + (95*t[63])/8 + 17*t[64] + (25*t[65])/2 + 
       (171*t[66])/4 - t[70] + t[71] - t[72] - t[73] + t[74] + 3*t[75] + 
       t[77] - (3*t[78])/2 + 2*t[79] + 3*t[80] - (3*t[81])/2 + 4*t[82] - 
       (9*t[83])/2 - (13*t[84])/2 + t[85]/4 - 20*t[86] + (49*t[87])/4 + 
       (49*t[88])/8 + (11*t[89])/2 + 2*t[98] + 2*t[99] + 67*t[100]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((7*t[1])/4 - 6*t[2] + (23*t[3])/2 - (147*t[4])/8 + (35*t[5])/4 - 
       (53*t[6])/8 - (87*t[7])/16 + (43*t[8])/16 - (127*t[9])/16 + 
       (31*t[10])/8 - (337*t[11])/16 + (5*t[12])/16 - (341*t[13])/32 - 
       (669*t[14])/32 - (169*t[15])/32 + t[18] + t[21] + t[22]/2 - t[23] + 
       2*t[24] - t[25] + t[26]/2 + t[27] + t[28] - t[29] + t[33] + t[34] + 
       t[38] + t[41]/4 + t[42]/4 - (7*t[43])/16 + t[44]/2 - (17*t[45])/8 + 
       (3*t[46])/4 + (25*t[47])/4 + (47*t[48])/16 - (35*t[49])/16 - 
       (73*t[50])/16 + (25*t[51])/32 + (57*t[52])/16 + (35*t[53])/16 + 
       (63*t[54])/16 - t[59] - (61*t[60])/4 - (107*t[61])/2 - t[62]/4 - 
       (145*t[63])/4 + (45*t[64])/2 + (389*t[65])/12 + (469*t[66])/12 - 
       2*t[70] + 2*t[71] - t[74] + (9*t[76])/2 + t[77] - (15*t[78])/2 + 
       t[79] + 9*t[80] - (11*t[81])/2 + (17*t[82])/2 - t[83] - (9*t[84])/2 + 
       (5*t[85])/4 + (43*t[86])/2 + (41*t[87])/4 + (41*t[88])/8 + 
       (127*t[89])/8 + 22*t[98] - 62*t[99] + 91*t[100]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      (-t[1]/4 + (27*t[2])/8 + (279*t[3])/16 - (79*t[4])/8 - (5*t[5])/16 - 
       18*t[6] + (27*t[7])/8 - (221*t[8])/8 - (5*t[9])/16 + (55*t[10])/16 - 
       24*t[11] - (7*t[12])/4 - (173*t[13])/16 - (2765*t[14])/96 - 
       (1609*t[15])/144 - t[24] + t[27] - t[28] + (3*t[29])/4 + t[30]/2 - 
       (11*t[32])/4 - (3*t[33])/2 + t[34]/2 + t[35] + t[37]/2 + t[40] + 
       t[43]/4 + (21*t[44])/8 - (5*t[45])/2 + t[46]/2 + 6*t[47] - 
       (33*t[48])/8 + (13*t[49])/16 - t[50]/8 - (17*t[51])/32 - 
       (11*t[52])/8 - (13*t[53])/16 - (43*t[54])/8 - t[59]/4 - 
       (301*t[60])/8 - (167*t[61])/2 + (47*t[62])/8 - (155*t[63])/8 + 
       (49*t[64])/2 + (63*t[65])/8 + (385*t[66])/8 - t[70] + t[71] - 
       2*t[72] + 2*t[73] - t[74]/2 - 5*t[75] + 5*t[76] + t[77]/2 - 9*t[78] + 
       t[79]/2 - 2*t[80] - (21*t[81])/4 + (37*t[82])/4 + (13*t[83])/2 - 
       (93*t[84])/8 + (7*t[85])/2 + (59*t[86])/2 + (59*t[87])/4 + 
       (23*t[88])/8 + (127*t[89])/16 + t[95] + t[96] - t[97]/2 + 22*t[98] - 
       62*t[99] + 91*t[100]) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      ((3*t[1])/4 - (41*t[2])/8 + (33*t[3])/2 - (269*t[4])/8 + (47*t[5])/8 - 
       (367*t[6])/32 - (239*t[7])/16 - (139*t[8])/16 - (55*t[9])/4 + 
       (17*t[10])/4 - (1471*t[11])/32 - (15*t[12])/16 - (5881*t[13])/288 - 
       (81*t[14])/2 - (671*t[15])/72 + t[18] + t[21] - t[23] + 2*t[24] - 
       t[25] + t[26]/2 + 2*t[27] + t[28] - (3*t[29])/2 - t[30]/2 - t[32]/2 + 
       (3*t[33])/2 + 2*t[34] + (3*t[36])/2 + t[38]/2 - t[39] + t[40]/4 - 
       t[41]/4 + (3*t[42])/4 - (15*t[43])/16 - (3*t[44])/4 - (17*t[45])/8 + 
       t[46] + (23*t[47])/4 + (113*t[48])/32 - (117*t[49])/16 - 
       (75*t[50])/32 + (81*t[51])/32 + (75*t[52])/32 + (85*t[53])/16 + 
       (195*t[54])/32 - (3*t[59])/2 - (701*t[60])/16 - (1683*t[61])/16 + 
       (279*t[62])/32 - (807*t[63])/32 + (1661*t[64])/32 + (2737*t[65])/48 + 
       (1093*t[66])/16 - 2*t[70] + 2*t[71] + t[72] - t[73] - t[74] - 
       3*t[75] - (5*t[76])/2 - t[77] - (5*t[78])/2 + 4*t[79] + 5*t[80] - 
       (11*t[81])/2 + 12*t[82] + (23*t[83])/2 - (79*t[84])/16 + 
       (85*t[85])/16 + (69*t[86])/2 + (467*t[87])/16 + (467*t[88])/32 + 
       (593*t[89])/32 - 3*t[96] - 2*t[97] - 12*t[98] - 30*t[99] + 
       132*t[100]) + F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((-3*t[1])/2 + (5*t[2])/4 + (169*t[3])/8 - (55*t[4])/8 + (21*t[5])/32 - 
       (153*t[6])/16 - (87*t[7])/16 - (251*t[8])/16 + (79*t[9])/32 + 
       (7*t[10])/2 - (667*t[11])/16 + (145*t[12])/32 - (6283*t[13])/288 - 
       (193*t[14])/6 - (10021*t[15])/576 - t[24] + 2*t[25] - t[26]/2 - 
       t[28] + (7*t[29])/4 + (3*t[30])/2 - (9*t[32])/4 - 2*t[33] + 2*t[35] + 
       (3*t[36])/2 + (5*t[37])/2 - t[38] + t[39]/2 - t[40]/2 + t[41]/4 - 
       t[42]/4 - (15*t[43])/8 + (13*t[44])/8 - (33*t[45])/8 - (3*t[46])/4 + 
       (39*t[47])/4 + (25*t[48])/8 + (55*t[49])/16 - (19*t[50])/8 - 
       (41*t[51])/32 + (27*t[52])/8 - (55*t[53])/16 + t[54]/8 + t[58]/2 - 
       (389*t[60])/8 - (805*t[61])/8 + (211*t[62])/16 - (195*t[63])/16 + 
       (609*t[64])/16 + (25*t[65])/4 + (176*t[66])/3 + 2*t[69] - t[70] + 
       t[71] - 4*t[72] + 2*t[73] - (5*t[74])/2 - 10*t[75] - (3*t[76])/2 - 
       t[77]/2 - 6*t[78] + 2*t[79] - (17*t[80])/2 - (29*t[81])/4 + 
       (25*t[82])/4 + (13*t[83])/2 - (111*t[84])/8 - 3*t[85] + 
       (103*t[86])/4 + (99*t[87])/4 + (63*t[88])/8 + (191*t[89])/16 + t[95] + 
       t[96] - t[97] - 12*t[98] - 30*t[99] + 132*t[100]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - u]*((5*t[1])/2 - (17*t[2])/4 + 
       (33*t[3])/2 - (279*t[4])/8 + (201*t[5])/8 - (159*t[6])/8 - 
       (61*t[7])/16 - (435*t[8])/16 - (263*t[9])/16 + (77*t[10])/8 - 
       (603*t[11])/16 - (63*t[12])/16 - (1613*t[13])/96 - (1171*t[14])/32 - 
       (121*t[15])/32 + t[18] + t[21] - t[23] + 3*t[24] - 3*t[25] + t[26] + 
       2*t[27] + 2*t[28] - 2*t[29] + 2*t[33] + (3*t[34])/2 - 2*t[35] + 
       t[36] + 2*t[38] + t[40] + t[42]/2 + (11*t[43])/16 - t[44]/2 - 
       (9*t[45])/8 + (3*t[46])/4 + (17*t[47])/4 - (47*t[48])/16 - 
       (45*t[49])/16 - (23*t[50])/16 + (59*t[51])/32 - (33*t[52])/16 + 
       (45*t[53])/16 - (55*t[54])/16 - t[58]/2 - (3*t[59])/4 - 
       (141*t[60])/4 - 68*t[61] + (75*t[62])/8 - (99*t[63])/8 + 
       (301*t[64])/8 + (389*t[65])/12 + (737*t[66])/12 - 2*t[70] + 2*t[71] - 
       t[74] + 4*t[75] + 6*t[76] + 2*t[77] - (13*t[78])/2 + 2*t[79] + 
       15*t[80] - 5*t[81] + 13*t[82] + 15*t[83] - (21*t[84])/2 + 
       (9*t[85])/4 + 14*t[86] + (67*t[87])/4 + (67*t[88])/8 + (73*t[89])/8 + 
       t[97]/2 + 32*t[98] - 78*t[99] + 134*t[100]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - v]*((3*t[1])/4 - t[2]/8 + (321*t[3])/16 - 
       (65*t[4])/8 + (241*t[5])/16 - (107*t[6])/4 - (27*t[7])/8 - 
       (337*t[8])/8 - (179*t[9])/16 + (165*t[10])/16 - (113*t[11])/4 - 
       (285*t[13])/16 - (3119*t[14])/96 - (1211*t[15])/144 - 2*t[24] + 
       2*t[27] - 2*t[28] + (5*t[29])/4 - (11*t[32])/4 - (5*t[33])/2 - 
       t[34]/2 + 2*t[35] - 2*t[36] + t[37]/2 + t[38]/2 + t[39]/2 + 
       (5*t[40])/4 + t[41]/2 - t[42]/2 - t[43]/4 - t[44]/8 - (5*t[45])/2 + 
       (3*t[46])/2 + 8*t[47] - (41*t[48])/8 + (119*t[49])/16 - (5*t[50])/8 - 
       (115*t[51])/32 - (15*t[52])/8 - (87*t[53])/16 - (97*t[54])/8 + 
       t[59]/4 - (435*t[60])/8 - (321*t[61])/4 + (71*t[62])/4 - 
       (21*t[63])/4 + (305*t[64])/8 - (113*t[65])/8 + (1435*t[66])/24 - 
       t[70] + t[71] - 3*t[72] + t[73] - t[74]/2 - t[75] + 8*t[76] + 
       t[77]/2 - 14*t[78] + 2*t[79] + t[80] - (35*t[81])/4 + (47*t[82])/4 + 
       12*t[83] - (175*t[84])/8 - 4*t[85] + 9*t[86] + (75*t[87])/4 + 
       (39*t[88])/8 + (21*t[89])/16 + t[95] + 4*t[96] + (3*t[97])/2 + 
       32*t[98] - 78*t[99] + 134*t[100]) + HPL[{0, 0, 0, 1}, 1 - w]*
      Phi6[u, v, w]*(-t[1]/2 + (17*t[2])/4 + (33*t[3])/4 + (23*t[4])/2 + 
       (91*t[5])/4 - (27*t[6])/2 - (55*t[7])/4 - (81*t[8])/4 - 24*t[9] + 
       19*t[10] - (143*t[11])/4 - (85*t[12])/4 - (839*t[13])/72 - 
       (1037*t[14])/24 - (57*t[15])/8 - 2*t[25] + t[26] + 3*t[27] + t[28] + 
       4*t[30] + 5*t[31] + t[32] + t[33] - t[35] + 2*t[36] + 5*t[37] + 
       t[38] - 4*t[39] - t[40] + 2*t[43] + t[44] - 2*t[45] + 5*t[47] - 
       (27*t[48])/4 + (35*t[49])/4 + (39*t[50])/4 - (47*t[51])/8 - 
       (23*t[52])/4 - (19*t[53])/4 - (81*t[54])/4 - t[59] - 40*t[60] - 
       167*t[61] + (101*t[62])/4 - (73*t[63])/4 + 71*t[64] + (31*t[65])/6 + 
       66*t[66] + 4*t[69] - 2*t[70] + 2*t[71] - 11*t[72] + 4*t[73] - 
       2*t[74] + 9*t[75] + 11*t[76] + 2*t[77] - 22*t[78] + 5*t[79] - 
       8*t[80] - 2*t[81] + 5*t[82] - t[83]/2 - (23*t[84])/2 + (63*t[85])/2 + 
       25*t[86] + (31*t[87])/2 + (7*t[88])/4 + 38*t[89] + 4*t[95] + 2*t[96] - 
       2*t[97] + 72*t[98] - 176*t[99] + 274*t[100]) + 
     G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*(t[59] - 10*t[60] + 
       23*t[61] + (21*t[62])/2 - (39*t[63])/2 - (51*t[64])/4 - 
       (119*t[65])/12 + (7*t[66])/12 + 3*t[73] + t[74] + 9*t[75] + 2*t[76] + 
       9*t[78] + (15*t[81])/2 - (13*t[82])/2 + 13*t[83] + t[84]/4 + t[85]/2 - 
       (49*t[89])/4 - 3*t[102]) + G[u, v, w]*HPL[{0, 1}, 1 - w]*
      ((-13*t[2])/2 - (555*t[3])/16 + (55*t[4])/4 - (45*t[5])/8 + 9*t[6] - 
       (319*t[7])/16 - (53*t[8])/16 + (209*t[9])/16 + (211*t[10])/16 + 
       (321*t[11])/16 - (13*t[12])/2 + (5075*t[13])/288 + (899*t[14])/48 - 
       (79*t[15])/72 - t[17]/4 - 3*t[20] + t[21] + 2*t[22] - t[23] - 
       2*t[24] + t[25] - t[26]/2 + 4*t[27] + 8*t[28] + t[29]/4 + 
       (3*t[30])/2 - 2*t[31] + (3*t[32])/4 + 6*t[33] - (5*t[34])/2 + 
       2*t[35] + t[36] - (5*t[37])/2 - t[38] + 3*t[39] - t[40] + t[41]/4 - 
       t[42]/4 + (35*t[43])/16 + (7*t[44])/8 + (21*t[45])/8 + (11*t[46])/4 - 
       (5*t[47])/4 + (97*t[48])/16 - (37*t[49])/8 - (47*t[50])/16 + 
       (87*t[52])/16 + (37*t[53])/8 + (97*t[54])/16 + t[56]/2 + (5*t[59])/4 + 
       (81*t[60])/4 + (355*t[61])/4 + (463*t[62])/16 - (495*t[63])/16 - 
       (217*t[64])/8 - (369*t[65])/8 - (1111*t[66])/24 - (3*t[68])/2 - 
       2*t[69] + t[70] - t[71] + t[72] + 4*t[73] + (29*t[74])/2 + 17*t[75] - 
       (3*t[76])/2 + (3*t[77])/2 + 16*t[78] + 13*t[79] + 2*t[80] + 5*t[81] - 
       (3*t[82])/2 - (37*t[83])/2 + (81*t[84])/8 - (11*t[85])/8 - 
       (113*t[86])/2 - (171*t[87])/8 - (99*t[88])/16 - (127*t[89])/16 - 
       t[93]/2 - t[95] - t[96] + t[97]/2 - 18*t[98] + 42*t[99] - 127*t[100] - 
       3*t[102]) + G[u, v, w]*HPL[{0, 1}, 1 - v]*(2*t[1] - (51*t[2])/4 - 
       (237*t[3])/16 + 40*t[4] - (133*t[5])/8 - t[6]/4 - (169*t[7])/16 - 
       (363*t[8])/16 + (139*t[9])/16 + (235*t[10])/16 + (595*t[11])/16 - 
       (45*t[12])/8 + (2575*t[13])/96 + (15*t[14])/2 - (863*t[15])/72 + 
       t[17]/4 + 3*t[20] + 2*t[21] - 2*t[22] - 2*t[23] + 2*t[24] - t[25] + 
       t[26]/2 + t[27] + 3*t[28] - t[29]/4 - (3*t[30])/2 + t[31] - 
       (15*t[32])/4 - t[33] + (3*t[34])/2 - 5*t[35] - t[36] + (11*t[37])/2 + 
       t[38] + 3*t[39] + (3*t[41])/4 - (3*t[42])/4 - (67*t[43])/16 + 
       (17*t[44])/8 - (13*t[45])/8 + (5*t[46])/4 + (37*t[47])/4 + 
       (7*t[48])/16 + (15*t[49])/2 - (41*t[50])/16 - (67*t[51])/16 + 
       (17*t[52])/16 - (15*t[53])/2 - (213*t[54])/16 - t[56]/2 + t[59]/4 + 
       (45*t[60])/2 + (113*t[61])/2 + (379*t[62])/16 - (943*t[63])/16 - 
       (81*t[64])/2 - (53*t[65])/8 - (533*t[66])/8 - (3*t[68])/2 - t[69] - 
       2*t[70] + 2*t[71] + t[72] + 4*t[73] + (15*t[74])/2 + 17*t[75] + 
       (19*t[76])/2 + (5*t[77])/2 + 14*t[79] - 18*t[80] + 10*t[81] - 
       (9*t[82])/2 - (37*t[83])/2 + (45*t[84])/8 + (113*t[85])/8 - 
       (105*t[86])/2 - (263*t[87])/8 - (335*t[88])/16 + (237*t[89])/16 + 
       t[93]/2 + t[95] + t[96] - t[97]/2 + 42*t[98] - 66*t[99] - 56*t[100] - 
       3*t[102]) + G[u, v, w]*HPL[{0, 1}, 1 - u]*(2*t[1] - 10*t[2] - 
       (225*t[3])/16 + 25*t[4] - (41*t[5])/4 + (81*t[6])/8 - (201*t[7])/16 + 
       (473*t[8])/16 + (93*t[9])/16 - (181*t[10])/16 + (597*t[11])/16 + 
       (3*t[12])/4 + (3499*t[13])/96 - (5*t[14])/6 - (1723*t[15])/144 - 
       t[17]/4 + 2*t[20] + t[21] - 2*t[22] + 4*t[24] - t[25] + t[26]/2 + 
       2*t[28] - t[29]/4 - (3*t[30])/2 - (19*t[32])/4 + 2*t[33] + 
       (5*t[34])/2 - 4*t[35] - (3*t[37])/2 + t[38] - t[39] + 2*t[40] - 
       t[41]/4 + t[42]/4 - (11*t[43])/16 - (39*t[44])/8 - (37*t[45])/8 + 
       t[46]/4 + (73*t[47])/4 + (149*t[48])/16 + (11*t[49])/2 - 
       (211*t[50])/16 - (43*t[51])/16 + (155*t[52])/16 - (11*t[53])/2 - 
       (59*t[54])/16 - t[56]/2 + t[59]/4 + (13*t[60])/4 + (229*t[61])/4 - 
       (111*t[62])/16 - (1597*t[63])/16 + (427*t[64])/8 + (355*t[65])/24 - 
       (1873*t[66])/24 + t[68]/2 - t[69] - 2*t[70] + 2*t[71] + 6*t[73] + 
       (13*t[74])/2 + 8*t[75] + (19*t[76])/2 + (3*t[77])/2 - t[78] + 
       15*t[79] + 12*t[80] + 9*t[81] - (23*t[82])/2 - (25*t[83])/2 + 
       (43*t[84])/8 + (127*t[85])/8 + (41*t[86])/2 - (137*t[87])/8 - 
       (209*t[88])/16 + (375*t[89])/16 + t[93]/2 + t[95] + t[96] - t[97]/2 + 
       42*t[98] - 66*t[99] - 56*t[100] - 3*t[102]) + 
     G[u, v, w]*(-t[4] - t[5] + t[6] - 4*t[8] - (13*t[9])/2 + t[10]/2 - 
       t[11] + t[12] - (4*t[13])/3 + (13*t[14])/12 + (5*t[15])/12 - t[24] + 
       3*t[33] - t[48] - t[49]/2 - t[50] + t[51]/4 + t[52] + t[53]/2 + 
       2*t[54] + 3*t[60] - 11*t[61] - (3*t[62])/2 - (5*t[63])/2 - 
       (11*t[64])/2 + (22*t[65])/3 + (20*t[66])/3 - 3*t[82] + 3*t[85] - 
       3*t[87] - (3*t[88])/2 + (3*t[89])/2)*\[Zeta][2] + 
     F1[v, w, u]*HPL[{1}, 1 - v]*((-7*t[2])/4 - t[3]/2 + t[4]/2 + 2*t[5] + 
       t[6] - 9*t[7] + (25*t[8])/2 - (59*t[9])/4 + 3*t[10] - (3*t[11])/2 - 
       (11*t[12])/4 - (5*t[13])/3 + (41*t[14])/24 + (71*t[15])/24 + 2*t[24] - 
       t[25] + t[26] + t[27] + 4*t[28] - t[32] + 3*t[33] + 2*t[35] - t[36] + 
       t[40] + t[46]/2 - t[47] + 3*t[48] + (7*t[49])/2 - 4*t[50] - 
       (15*t[51])/8 + 4*t[52] - (7*t[53])/2 + 4*t[54] + 2*t[57] + t[60] - 
       3*t[61] + (11*t[62])/2 + (5*t[63])/2 - (11*t[64])/2 + (4*t[66])/3 + 
       t[82] - 2*t[83] + t[85] - 8*t[86] - t[87] - t[88]/2 + (3*t[89])/2)*
      \[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - u]*(t[5] - 2*t[7] - 2*t[8] - 
       t[9] + 2*t[10] - 2*t[11] - t[12] - t[14]/3 + t[15]/6 - 4*t[61] + 
       6*t[62] + 2*t[63] - 6*t[64] + (4*t[65])/3 + 4*t[66] - 2*t[83] - 
       8*t[86] + 2*t[89])*\[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - v]*
      (-t[1]/2 - (17*t[2])/2 - 10*t[3] + (37*t[4])/4 - (33*t[5])/4 + 
       (73*t[6])/8 + (17*t[7])/2 - (27*t[8])/2 + (47*t[9])/4 - (39*t[10])/8 + 
       (151*t[11])/8 + (101*t[12])/8 + (122*t[13])/9 + (295*t[14])/48 + 
       t[15] - 7*t[24] + t[25] - t[27] + t[33] - t[38] + t[41]/2 - t[42]/2 + 
       t[43]/2 + t[44] - t[45] - (5*t[46])/2 + 2*t[47] - (23*t[48])/8 - 
       (5*t[49])/8 + (17*t[50])/8 + (31*t[51])/16 - (17*t[52])/8 + 
       (5*t[53])/8 - (15*t[54])/8 + 2*t[59] + (41*t[60])/2 + (105*t[61])/2 - 
       (55*t[62])/4 + (79*t[63])/4 - t[64]/4 + (29*t[65])/3 - 37*t[66] - 
       10*t[74] - 2*t[78] + 4*t[80] + 5*t[81] - 8*t[82] + 4*t[84] + t[85]/2 + 
       12*t[86] - (13*t[87])/2 - (13*t[88])/4 - (27*t[89])/4 - 12*t[99] - 
       48*t[100])*\[Zeta][2] + F1[v, w, u]*HPL[{1}, 1 - u]*
      ((-21*t[2])/4 - 5*t[3] + (15*t[4])/4 - (9*t[5])/8 + 3*t[6] + 
       (19*t[7])/2 - (23*t[8])/2 + (11*t[9])/8 - (71*t[10])/8 + 18*t[11] + 
       (11*t[12])/2 + (45*t[13])/4 + (413*t[14])/48 + (13*t[15])/16 - 
       3*t[24] + t[32] + 4*t[33] + t[37] + t[41]/2 - t[42]/2 + t[43]/2 + 
       t[44] + t[47] - 3*t[48] - (13*t[49])/8 + 3*t[50] + (21*t[51])/16 - 
       3*t[52] + (13*t[53])/8 - (11*t[54])/4 + t[59] + (55*t[60])/4 + 
       (157*t[61])/4 - (63*t[62])/8 + (119*t[63])/8 + (3*t[64])/8 + 4*t[65] - 
       (112*t[66])/3 - 5*t[74] - t[77] - t[78] + (5*t[81])/2 - (11*t[82])/2 + 
       3*t[84] - t[85]/4 + 2*t[86] - (19*t[87])/4 - (19*t[88])/8 - 
       (47*t[89])/8 - 2*t[95] - 12*t[99] - 48*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w]*(-t[1] + (13*t[2])/2 + 
       5*t[3] - (21*t[4])/4 - (159*t[5])/8 - 6*t[6] + (65*t[7])/4 - 
       (5*t[8])/4 + (95*t[9])/8 - (31*t[10])/8 - t[11]/2 + (111*t[12])/4 - 
       (473*t[13])/72 + (83*t[14])/48 - (509*t[15])/48 - 7*t[24] - t[28] + 
       3*t[32] - 2*t[33] + 2*t[35] + 2*t[37] + t[43]/2 - t[44] - 4*t[45] + 
       14*t[47] - (9*t[48])/4 - (23*t[49])/8 + t[50]/4 + (23*t[51])/16 - 
       t[52]/4 + (23*t[53])/8 + (9*t[54])/2 + 3*t[59] + (163*t[60])/4 + 
       (87*t[61])/4 - (169*t[62])/8 - (151*t[63])/8 - (153*t[64])/8 + 
       (479*t[65])/12 + (31*t[66])/4 + 2*t[69] + 4*t[73] - 9*t[74] - 
       8*t[75] + 2*t[76] - 3*t[77] - 3*t[78] + 16*t[79] - t[81] - 8*t[83] + 
       (45*t[84])/4 + (19*t[85])/4 + 74*t[86] - (105*t[87])/4 - 
       (105*t[88])/8 - (55*t[89])/8 + 12*t[98] - 36*t[99] - 33*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (-13*t[2] - (13*t[3])/4 - (5*t[4])/4 + (75*t[5])/8 + (19*t[6])/2 - 
       (23*t[7])/4 + (227*t[8])/4 - (227*t[9])/8 - (47*t[10])/8 - 
       (29*t[11])/4 + 11*t[12] + (11*t[13])/12 - (197*t[14])/48 - 
       (5*t[15])/48 + t[24] + 8*t[28] + 3*t[31] + 11*t[33] - 3*t[35] - 
       t[37] - t[43]/2 + t[44] + 2*t[45] - 7*t[47] + (13*t[48])/2 - 
       (7*t[49])/8 - (13*t[50])/2 - t[51]/16 + (13*t[52])/2 + (7*t[53])/8 + 
       (45*t[54])/4 + (21*t[60])/4 + (9*t[61])/4 - (63*t[62])/8 - 
       (225*t[63])/8 - (19*t[64])/8 + (59*t[65])/12 + (29*t[66])/12 - 
       2*t[73] - 13*t[74] + 9*t[75] + 2*t[76] - 5*t[78] - 16*t[79] - 
       2*t[81] + 6*t[82] - (19*t[83])/2 - (3*t[84])/4 - (19*t[85])/4 + 
       10*t[86] + (21*t[87])/4 + (21*t[88])/8 - (13*t[89])/8 + 12*t[98] - 
       36*t[99] - 33*t[100])*\[Zeta][2] + HPL[{1}, 1 - u]^2*Phi6[u, v, w]*
      (6*t[2] - (35*t[4])/2 + (71*t[5])/8 - 12*t[6] + (79*t[7])/4 - 
       (125*t[8])/4 + (25*t[9])/8 - 12*t[10] + (5*t[11])/4 + (47*t[12])/8 - 
       (113*t[13])/36 - (17*t[14])/4 - (35*t[15])/16 + t[20] - 6*t[28] + 
       3*t[32] - 2*t[33] + 3*t[35] + 4*t[36] + 2*t[43] + 4*t[44] + t[47] - 
       (19*t[48])/2 - (11*t[49])/4 + (19*t[50])/2 + (11*t[51])/8 - 
       (19*t[52])/2 + (11*t[53])/4 - 8*t[54] - (37*t[60])/2 - 4*t[61] - 
       (45*t[62])/2 + (15*t[63])/2 + 22*t[64] - (59*t[65])/6 - (27*t[66])/2 + 
       t[69] + t[72] + 2*t[73] - 3*t[74] - 9*t[75] + t[76] - 3*t[77] - 
       5*t[78] + 5*t[79] + 8*t[80] + t[81] - t[82] + (27*t[83])/2 - 4*t[84] - 
       (3*t[85])/2 + 31*t[86] + (21*t[87])/2 + (21*t[88])/4 - 15*t[89] + 
       6*t[98] - 18*t[99] - 33*t[100])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*Phi6[u, v, w]*(t[1] + 3*t[2] - (31*t[3])/4 - 13*t[4] + 
       (15*t[5])/8 + t[6]/4 + (17*t[7])/4 - (89*t[8])/4 + (87*t[9])/8 + 
       (7*t[10])/2 + 2*t[11] + (37*t[12])/8 + (121*t[13])/72 + (83*t[14])/8 + 
       (93*t[15])/16 - t[21] + t[23] - 2*t[24] + 3*t[25] - t[26] + t[31] + 
       2*t[35] - t[37] - 2*t[38] - t[41]/2 + t[42]/2 + 2*t[43] + 4*t[44] + 
       4*t[45] - (5*t[46])/2 - 11*t[47] - (5*t[48])/4 - (5*t[49])/4 - 
       (3*t[50])/4 + t[51]/4 + (3*t[52])/4 + (5*t[53])/4 + (13*t[54])/4 + 
       t[59] + 10*t[60] + 37*t[61] - (11*t[62])/2 + (27*t[63])/2 - 13*t[64] - 
       (5*t[65])/6 - (139*t[66])/6 - 2*t[69] + 2*t[70] - 2*t[71] + t[73] - 
       4*t[74] - 3*t[75] + t[76] - 3*t[78] + 4*t[80] + 5*t[81] - 5*t[82] + 
       2*t[83] + (5*t[84])/2 + (3*t[85])/2 - 4*t[86] - (9*t[87])/2 - 
       (9*t[88])/4 - (7*t[89])/2 + 6*t[98] - 18*t[99] - 33*t[100])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w]*
      (t[2] - 4*t[3] + 3*t[4] - t[5] + 2*t[6] + 6*t[7] - 11*t[8] + 
       (9*t[9])/2 - (7*t[10])/2 + 11*t[11] + 3*t[12] + (9*t[13])/2 + 
       (27*t[14])/4 + (49*t[15])/12 - 3*t[24] + t[33] - 2*t[48] - 
       (3*t[49])/2 + 2*t[50] + (5*t[51])/4 - 2*t[52] + (3*t[53])/2 - t[54] - 
       3*t[59] - 3*t[60] + 44*t[61] + (9*t[62])/2 + (87*t[63])/2 + 38*t[64] + 
       t[65]/2 - (29*t[66])/6 + 6*t[73] - 3*t[74] + 19*t[75] + 4*t[76] + 
       14*t[78] + 8*t[81] - 9*t[82] - (11*t[83])/2 + (13*t[84])/2 - 
       10*t[85] - 3*t[87] - (3*t[88])/2 - 8*t[89] - 24*t[100])*\[Zeta][2] + 
     K1[u, v, w]*(t[2] - 4*t[3] + 2*t[4] - t[5]/2 - 2*t[6] + 7*t[7] - 
       18*t[8] + 18*t[9] + t[10] + 5*t[11] + 2*t[12] + (8*t[13])/3 + 
       (13*t[14])/3 + t[15] - 3*t[24] - 3*t[33] - 3*t[48] - t[49] + 3*t[50] + 
       t[51] - 3*t[52] + t[53] - 3*t[54] + 4*t[60] + 12*t[61] - 5*t[62] + 
       7*t[63] + 2*t[64] - (5*t[65])/3 - (31*t[66])/3 - 3*t[82] + t[84] - 
       2*t[87] - t[88] - 12*t[100])*\[Zeta][2] + 
     K1[w, u, v]*(2*t[4] + t[5]/2 + 3*t[6] - t[7] + 11*t[8] - 7*t[9] - 
       5*t[10] + 7*t[11] + (19*t[13])/6 + (4*t[14])/3 + (8*t[15])/3 + t[24] + 
       t[33] + 2*t[48] + 24*t[61] - 3*t[62] + 5*t[63] + 8*t[64] - 
       (17*t[65])/3 - (35*t[66])/3 + 3*t[82] + t[84] - 4*t[85] + 2*t[87] + 
       t[88] - 6*t[89] - 12*t[100])*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      Phi6[u, v, w]*((3*t[2])/2 - (21*t[3])/4 + (5*t[4])/2 + (15*t[5])/4 + 
       t[6] - t[7] - (11*t[8])/2 - (3*t[9])/4 - (5*t[10])/4 + (23*t[11])/4 - 
       t[12] + (185*t[13])/72 + (101*t[14])/24 + 3*t[15] - t[35] - t[37] + 
       t[45] - 3*t[47] - (5*t[48])/4 + t[49]/4 + (5*t[50])/4 - t[51]/8 - 
       (5*t[52])/4 - t[53]/4 - (7*t[54])/4 - t[59]/2 + (9*t[60])/2 + 
       14*t[61] - (7*t[62])/4 + (19*t[63])/4 - (11*t[64])/4 - (10*t[65])/3 - 
       (19*t[66])/3 - t[69] + t[70] - t[71] + t[73] + t[74] - 3*t[75] + 
       2*t[80] + t[81] - t[82] + t[83]/2 + t[84] + t[85]/2 - 10*t[86] - 
       (5*t[87])/2 - (5*t[88])/4 - (9*t[89])/4 - 12*t[100])*\[Zeta][2] + 
     F1[u, v, w]*HPL[{1}, 1 - w]*(-t[2] + 4*t[3] - 2*t[4] + t[5]/2 + 2*t[6] - 
       7*t[7] + 18*t[8] - 18*t[9] - t[10] - 5*t[11] - 2*t[12] - (8*t[13])/3 - 
       (13*t[14])/3 - t[15] + 3*t[24] + 3*t[33] + 3*t[48] + t[49] - 3*t[50] - 
       t[51] + 3*t[52] - t[53] + 3*t[54] - 4*t[60] - 12*t[61] + 5*t[62] - 
       7*t[63] - 2*t[64] + (5*t[65])/3 + (31*t[66])/3 + 3*t[82] - t[84] + 
       2*t[87] + t[88] + 12*t[100])*\[Zeta][2] + F1[w, u, v]*HPL[{1}, 1 - u]*
      ((-7*t[2])/4 + (5*t[3])/2 - t[4] + 3*t[5] + (3*t[6])/2 - 8*t[7] + 
       (55*t[8])/2 - (99*t[9])/4 - (9*t[10])/2 - t[11]/2 - (9*t[12])/4 - 
       (25*t[13])/6 - (11*t[14])/8 + (55*t[15])/24 + 4*t[24] - t[32] + 
       5*t[33] + 2*t[35] - t[36] - t[39] + t[40] + t[46]/2 - t[47] + 
       (13*t[48])/2 + 4*t[49] - (9*t[50])/2 - (21*t[51])/8 + (9*t[52])/2 - 
       4*t[53] + (7*t[54])/2 - 9*t[60] - 3*t[61] - (13*t[62])/2 - 
       (23*t[63])/2 + (29*t[64])/2 - (11*t[65])/3 + 5*t[66] + 3*t[82] + 
       4*t[83] - t[84] - 3*t[85] + 16*t[86] + 7*t[87] + (7*t[88])/2 - 
       (7*t[89])/2 + 12*t[100])*\[Zeta][2] + F1[v, w, u]*HPL[{1}, 1 - w]*
      (-2*t[4] - t[5]/2 - 3*t[6] + t[7] - 11*t[8] + 7*t[9] + 5*t[10] - 
       7*t[11] - (19*t[13])/6 - (4*t[14])/3 - (8*t[15])/3 - t[24] - t[33] - 
       2*t[48] - 24*t[61] + 3*t[62] - 5*t[63] - 8*t[64] + (17*t[65])/3 + 
       (35*t[66])/3 - 3*t[82] - t[84] + 4*t[85] - 2*t[87] - t[88] + 6*t[89] + 
       12*t[100])*\[Zeta][2] + F1[w, u, v]*HPL[{1}, 1 - v]*
      ((7*t[2])/4 + t[3]/2 - t[4] - 3*t[5] - (7*t[6])/2 + 6*t[7] - 
       (55*t[8])/2 + (83*t[9])/4 + (11*t[10])/2 - (13*t[11])/2 + 
       (5*t[12])/4 - (5*t[13])/3 - (33*t[14])/8 - (155*t[15])/24 - 4*t[24] + 
       t[32] - 5*t[33] - 2*t[35] + t[36] + t[39] - t[40] - t[46]/2 + t[47] - 
       (11*t[48])/2 - 3*t[49] + (7*t[50])/2 + (17*t[51])/8 - (7*t[52])/2 + 
       3*t[53] - (9*t[54])/2 + t[60] - 27*t[61] + (17*t[62])/2 - 
       (5*t[63])/2 - (27*t[64])/2 + (17*t[65])/3 + 13*t[66] - 2*t[82] - 
       2*t[83] - t[84] + 5*t[85] - 8*t[86] - 3*t[87] - (3*t[88])/2 + 
       (15*t[89])/2 + 12*t[100])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*((-5*t[1])/2 + 8*t[2] - (143*t[3])/8 + (31*t[4])/2 + 
       (147*t[5])/8 + (33*t[6])/2 - (535*t[7])/8 + (875*t[8])/8 - 
       (31*t[9])/2 + (33*t[10])/8 - (157*t[11])/8 - (111*t[12])/8 - 
       (3533*t[13])/144 - (31*t[14])/12 + (1019*t[15])/144 - 5*t[18] - 
       4*t[20] + 2*t[21] + 2*t[22] - 2*t[23] + 3*t[24] + t[25] + 11*t[27] + 
       13*t[28] + t[29]/2 + t[30] + 6*t[31] + (7*t[32])/2 + 2*t[33] - 
       5*t[34] - 17*t[35] + 3*t[36] + 2*t[37] - 2*t[38] + 12*t[39] - t[40] - 
       t[41]/2 + t[42]/2 + (11*t[43])/8 - (17*t[44])/4 + (21*t[45])/4 + 
       7*t[46] - (25*t[47])/2 + (217*t[48])/8 + t[49]/2 - (167*t[50])/8 - 
       (21*t[51])/4 + (207*t[52])/8 - t[53]/2 + (101*t[54])/8 + 2*t[57] - 
       (9*t[59])/2 - (11*t[60])/4 - (27*t[61])/2 + (195*t[62])/2 + 
       (13*t[63])/2 + (233*t[64])/4 - (55*t[65])/4 + (273*t[66])/4 + t[69] + 
       7*t[70] - 7*t[71] + 4*t[72] + 8*t[73] + 15*t[74] + 14*t[75] - 
       3*t[76] + 18*t[78] + 4*t[79] - 22*t[80] - (25*t[81])/2 + 
       (61*t[82])/2 - (17*t[83])/2 + (29*t[84])/4 + (3*t[85])/2 - 103*t[86] - 
       t[87] + (17*t[88])/2 + (121*t[89])/8 - 2*t[95] - 2*t[96] + t[97] - 
       36*t[98] + 12*t[99] + 18*t[100])*\[Zeta][2] + 
     K1[v, w, u]*(-t[2] + 4*t[3] - 3*t[4] + t[5] - 2*t[6] - 6*t[7] + 
       11*t[8] - (9*t[9])/2 + (7*t[10])/2 - 11*t[11] - 3*t[12] - 
       (9*t[13])/2 - (27*t[14])/4 - (49*t[15])/12 + 3*t[24] - t[33] + 
       2*t[48] + (3*t[49])/2 - 2*t[50] - (5*t[51])/4 + 2*t[52] - 
       (3*t[53])/2 + t[54] - 7*t[60] - 25*t[61] + (19*t[62])/2 - 
       (19*t[63])/2 - (9*t[64])/2 + (46*t[66])/3 + 3*t[82] - 2*t[84] + 
       t[85] + 3*t[87] + (3*t[88])/2 + (9*t[89])/2 + 24*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*((3*t[1])/2 - (49*t[2])/2 + 
       (125*t[3])/8 - (87*t[4])/4 + 19*t[5] - 52*t[6] + (289*t[7])/8 - 
       (1021*t[8])/8 + (305*t[9])/8 + 8*t[10] + (27*t[11])/8 + 
       (135*t[12])/8 - (2591*t[13])/144 - (391*t[14])/16 - (901*t[15])/72 + 
       5*t[18] + 2*t[20] + 2*t[21] - 2*t[22] + 5*t[24] - t[25] + t[27] - 
       3*t[28] - t[29]/2 - t[30] - (11*t[32])/2 + 5*t[34] + t[35] - t[36] + 
       2*t[37] + 2*t[38] - 4*t[39] + 5*t[40] - t[41]/2 + t[42]/2 - 
       (11*t[43])/8 + (57*t[44])/4 - (37*t[45])/4 + 2*t[46] + (45*t[47])/2 - 
       (229*t[48])/8 + (21*t[49])/8 + (163*t[50])/8 - (33*t[51])/16 - 
       (219*t[52])/8 - (21*t[53])/8 - (291*t[54])/8 - 2*t[57] - (9*t[59])/2 - 
       44*t[60] - (265*t[61])/4 - (159*t[62])/8 + (199*t[63])/8 + 
       (491*t[64])/8 + (17*t[65])/6 + (143*t[66])/3 + 3*t[69] - 9*t[70] + 
       9*t[71] - 2*t[72] + 12*t[73] - 3*t[74] - 2*t[75] + 19*t[76] - 
       2*t[77] - 16*t[78] + 12*t[79] + 14*t[80] - (7*t[81])/2 + 
       (11*t[82])/2 + 20*t[83] - (25*t[84])/2 + (19*t[85])/4 + 25*t[86] + 
       (45*t[87])/4 - (27*t[88])/8 - (7*t[89])/4 + 2*t[95] + 2*t[96] - 
       t[97] + 84*t[98] - 192*t[99] + 207*t[100])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*((13*t[1])/2 + (5*t[2])/2 + 
       (171*t[3])/8 - (191*t[4])/4 + 30*t[5] - (135*t[6])/4 + (5*t[7])/8 - 
       (169*t[8])/8 - (179*t[9])/8 - (31*t[10])/2 - (37*t[11])/8 - t[12]/8 + 
       (2287*t[13])/144 - (2149*t[14])/48 - (365*t[15])/36 + 5*t[18] + 
       4*t[20] + 4*t[21] - 2*t[22] - 4*t[23] + t[24] - t[25] + 7*t[27] - 
       3*t[28] - t[29]/2 - t[30] + 4*t[31] - (3*t[32])/2 - 8*t[33] + 
       3*t[34] - 5*t[35] - 5*t[36] - 6*t[37] + 2*t[38] + 4*t[39] - 3*t[40] + 
       (3*t[41])/2 - (3*t[42])/2 + (29*t[43])/8 + (17*t[44])/4 + 
       (3*t[45])/4 + 4*t[46] + (5*t[47])/2 - (53*t[48])/8 - (131*t[49])/8 - 
       (25*t[50])/8 + (7*t[51])/16 + t[52]/8 + (131*t[53])/8 - (87*t[54])/8 - 
       2*t[57] - (9*t[59])/2 - (87*t[60])/2 - (287*t[61])/4 + (375*t[62])/8 - 
       (351*t[63])/8 + (929*t[64])/8 + (427*t[65])/6 + 47*t[66] - 7*t[69] - 
       9*t[70] + 9*t[71] + 8*t[73] + 5*t[74] + 14*t[75] + 19*t[76] + 
       2*t[77] - 12*t[78] + 4*t[79] + 38*t[80] - (9*t[81])/2 + (53*t[82])/2 - 
       (3*t[83])/2 - (17*t[84])/2 + (25*t[85])/4 - 17*t[86] + (71*t[87])/4 - 
       t[88]/8 + (97*t[89])/2 + 2*t[95] + 2*t[96] - t[97] + 84*t[98] - 
       192*t[99] + 207*t[100])*\[Zeta][2] + Phi6[u, v, w]*
      (-2*t[4] - 2*t[5] + 2*t[6] - 8*t[8] - 13*t[9] + t[10] - 2*t[11] + 
       2*t[12] - (8*t[13])/3 + (13*t[14])/6 + (5*t[15])/6 - 2*t[24] + 
       6*t[33] - 2*t[48] - t[49] - 2*t[50] + t[51]/2 + 2*t[52] + t[53] + 
       4*t[54] + (48*t[60])/5 - (104*t[61])/5 + (18*t[62])/5 + (8*t[63])/5 - 
       (49*t[64])/5 + (301*t[65])/15 + (263*t[66])/15 - (6*t[81])/5 - 
       (24*t[82])/5 - (18*t[83])/5 + (9*t[84])/5 + 6*t[85] - (48*t[87])/5 - 
       (24*t[88])/5 + 3*t[89])*\[Zeta][2]^2 + 2*HPL[{1}, 1 - v]*Phi6[u, v, w]*
      t[57]*\[Zeta][3] + HPL[{1}, 1 - u]*Phi6[u, v, w]*
      ((-3*t[2])/4 - (3*t[3])/2 + (3*t[5])/2 + t[6]/2 - 5*t[7] + 
       (11*t[8])/2 - (29*t[9])/4 + t[10] - t[11]/2 - (5*t[12])/4 - 
       (7*t[13])/6 + (27*t[14])/8 + (19*t[15])/8 - t[32] + t[33] + 2*t[35] - 
       t[36] - t[39] + t[40] + t[46]/2 - t[47] + (5*t[48])/2 + (5*t[49])/2 - 
       (5*t[50])/2 - (11*t[51])/8 + (5*t[52])/2 - (5*t[53])/2 + (5*t[54])/2 - 
       2*t[60] - t[62] + t[63] + 4*t[64] - (4*t[65])/3 + t[82] + 2*t[87] + 
       t[88] + t[89])*\[Zeta][3]